From 04831af9de20e3fadf8bc398df7d8adc4f4f9f05 Mon Sep 17 00:00:00 2001 From: Franz Fuchs Date: Wed, 29 Sep 2021 13:42:03 +0200 Subject: [PATCH 01/12] new beginning --- newbeginning.ipynb | 355 +++++++++++++++++++++++++++++++++++++++++++++ newbeginning.py | 328 +++++++++++++++++++++++++++++++++++++++++ 2 files changed, 683 insertions(+) create mode 100644 newbeginning.ipynb create mode 100644 newbeginning.py diff --git a/newbeginning.ipynb b/newbeginning.ipynb new file mode 100644 index 0000000..cd5e9ce --- /dev/null +++ b/newbeginning.ipynb @@ -0,0 +1,355 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "8a197d6c", + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as pl\n", + "pl.ion()\n", + "import numpy as np\n", + "import sys\n", + "sys.path.append('../')\n", + "\n", + "import os\n", + "import copy\n", + "from qiskit import *\n", + "from qiskit_utilities.utilities import *\n", + "\n", + "from qiskit.visualization import plot_histogram\n", + "\n", + "from newbeginning import *" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "17b6aa44", + "metadata": {}, + "outputs": [], + "source": [ + "Aer.backends()\n", + "backend = Aer.get_backend('statevector_simulator')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ec3209bb", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "38f714eb", + "metadata": {}, + "outputs": [], + "source": [ + "# FR = np.array([[1, 0],\n", + "# [0, 1]])\n", + "# CR=np.array([1,1])\n", + "\n", + "# # Normalize weights\n", + "# CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "8c30000f", + "metadata": {}, + "outputs": [], + "source": [ + "FR = np.array([[1, 1],\n", + " [1, 1]])\n", + "CR=np.array([1,10])\n", + "\n", + "# Normalize weights\n", + "CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "85e4a9bf", + "metadata": {}, + "outputs": [], + "source": [ + "# FR = np.array([[1, 0,1, 0],\n", + "# [0, 1,1, 0],\n", + "# [0, 0,0, 1]])\n", + "# # CR=np.array([1,1,2.125,1])\n", + "# CR=np.random.rand(4)\n", + "\n", + "# # Normalize weights\n", + "# CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "474f0468", + "metadata": {}, + "outputs": [], + "source": [ + "# from data.tailassignment_loader import *\n", + "# FR,CR = npy_loader(f'../data//tailassignment_samples/npy_samples/FRCR_6_24_3_1.npy')\n", + "\n", + "# # Normalize weights\n", + "# CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "fe43ea74", + "metadata": {}, + "outputs": [], + "source": [ + "# F, R = np.shape(FR)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5bbc444d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "328216c2", + "metadata": {}, + "outputs": [], + "source": [ + "# c=cost_vector(CR,FR,1,plotsolutions=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "c5ba4458", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x, e, es, ue, lab = getSpectrum(CR, FR)\n", + "\n", + "pl.figure(figsize=(10,6))\n", + "for key in ue:\n", + " pl.plot(x,ue[key],label=lab[key])\n", + "pl.xlabel(\"exco weight\")\n", + "pl.legend()\n", + "pl.grid()\n", + "\n", + "pl.figure(figsize=(10,6))\n", + "for i in range(e.shape[0]):\n", + " pl.plot(x,es[i,:])\n", + "pl.xlabel(\"exco weight\")\n", + "pl.grid()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "58c71729", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mu=.5\n", + "qaoaSwe=QAOASwe(CR, FR)\n", + "\n", + "E, x0, job, ji = qaoaSwe.getElandscape(backend,mu)\n", + "\n", + "_=getfig(E)\n", + "\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "\n", + "_=plot_histogram(job.result().get_counts()[int(ji)])" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "17bb029b", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'createCircuitSwe' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mqc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcreateCircuitSwe\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx0\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mflatten\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mFR\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mCR\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdepth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mjob\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mexecute\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mqc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbackend\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0m_\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mplot_histogram\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mjob\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_counts\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'createCircuitSwe' is not defined" + ] + } + ], + "source": [ + "qc = createCircuitSwe(x0.flatten(), FR,CR, mu=1, depth=1)\n", + "job=execute(qc, backend)\n", + "_=plot_histogram(job.result().get_counts())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ceeff23f", + "metadata": {}, + "outputs": [], + "source": [ + "# job.result().get_counts(),\n", + "job.result().results[int(ji)].data.statevector" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4cc5f124", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d87dc0b0", + "metadata": {}, + "outputs": [], + "source": [ + "mu=2\n", + "E, x0, job, ji = getElandscape(backend,createCircuitChoose,FR,CR,mu,useExco=[True])\n", + "\n", + "_=getfig(E)\n", + "\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "\n", + "_=plot_histogram(job.result().get_counts()[int(ji)])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fa57e189", + "metadata": {}, + "outputs": [], + "source": [ + "mu=2\n", + "E, x0, job, ji = getElandscape(backend,createCircuitChoose,FR,CR,mu,useExco=[False])\n", + "\n", + "_=getfig(E)\n", + "\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "\n", + "_=plot_histogram(job.result().get_counts()[int(ji)])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e98adc8f", + "metadata": {}, + "outputs": [], + "source": [ + "mu=2\n", + "E, x0, job, ji = getElandscape(backend,createCircuitSwe,FR,CR,mu)\n", + "\n", + "_=getfig(E)\n", + "\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "\n", + "_=plot_histogram(job.result().get_counts()[int(ji)])t" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "064edfbe", + "metadata": {}, + "outputs": [], + "source": [ + "np.linspace(0,1,4,endpoint=False)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/newbeginning.py b/newbeginning.py new file mode 100644 index 0000000..c1d755a --- /dev/null +++ b/newbeginning.py @@ -0,0 +1,328 @@ +import numpy as np +from qiskit import * + +import itertools + +class QAOAbase: + + def __init__(self, CR, FR): + self.CR=CR + self.FR=FR + + def createCircuit(self): + raise NotImplementedError + + def cost(self, binstring,mu=1, plotsolutions=False): + # Reverse string since qiskit uses ordering MSB ... LSB + x = np.array(list(map(int,binstring[::-1]))) + if self.CR is None: + return np.sum((1 - (self.FR @ x))**2) + else: + excost=np.sum((1 - (self.FR @ x))**2) + if plotsolutions and excost==0: + print(x, (self.CR @ x)) + return ( (self.CR @ x) + mu *excost ) + + def measurementStatistics(self, job, n, m, k=None, mu=1): + costs=self.cost_vector(mu) + if k is not None: + E=np.zeros((n,m)) + for i in range(n): + for j in range(m): + statevector = job.result().results[j+m*i].data.statevector + probs = np.abs(statevector)**2 + E[i,j] = costs @ probs[::-1] + else: + E=np.zeros((n,m,k)) + for i in range(n): + for j in range(m): + for l in range(k): + statevector = job.result().results[l+k*(j+m*i)].data.statevector + probs = np.abs(statevector)**2 + E[i,j,l] = costs @ probs[::-1] + # print(costs,probs) + return E + + + def cost_vector(self, mu, plotsolutions=False): + F, R = np.shape(self.FR) + state_strings = np.array([''.join(i) for i in itertools.product('01', repeat= R)]) + costs=np.zeros((2**R)) + for i in range(2**R): + costs[i] = self.cost(state_strings[i], mu=mu, plotsolutions=plotsolutions) + # costs[i] = cost(state_strings[2**R-i-1],self.CR=self.CR, FR=FR, mu=1) + if plotsolutions: + print("min cost=", np.min(costs)) + return costs + + def mix_states(self, qc, beta): + qc.rx( - 2*beta, range(qc.num_qubits)) + return qc + + def apply_exco(self, qc, FR, gamma): + for r in range(qc.num_qubits): + + hr = 0.5 * self.FR[:,r] @ (np.sum(self.FR,axis = 1) - 2) + if not np.isclose(hr, 0): + qc.rz( 2*gamma * hr, range(qc.num_qubits)) + + for r_ in range(r+1,qc.num_qubits): + Jrr_ = 0.5 * self.FR[:,r] @ self.FR[:,r_] + if not np.isclose(Jrr_, 0): + qc.cx(r, r_) + qc.rz(2*gamma * Jrr_, r_) + qc.cx(r, r_) + return qc + + def apply_cost(self, qc, CR, gamma): + for r in range(qc.num_qubits): + hr = 0.5 * self.CR[r] + if not np.isclose(hr, 0): + qc.rz( 2*gamma * hr, r) + return qc + + def getElandscape(self, backend, mu,useExco=None, beta_max=np.pi,gamma_max=2*np.pi,delta_max=2*np.pi,n=20,m=40,k=40, barrier=False, sv=None): + depth=1 + circuits=[] + if self.num_params==2: + for beta in np.linspace(0,beta_max,n,endpoint=False): + for gamma in np.linspace(0,gamma_max,m,endpoint=False): + + if useExco is not None: + qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv) + else: + qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv) + + circuits.append(qc) + else: + for beta in np.linspace(0,beta_max,n,endpoint=False): + for gamma in np.linspace(0,gamma_max,m,endpoint=False): + for delta in np.linspace(0,delta_max,k,endpoint=False): + qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv) + + circuits.append(qc) + + job = execute(circuits, backend) + E = self.measurementStatistics(job, n, m, k, mu=mu) + + if self.num_params==2: + ib,ig=np.where(E==np.min(E)) + gamma=np.linspace(0,gamma_max,m,endpoint=False) + beta=np.linspace(0,beta_max,n,endpoint=False) + x0=np.array((gamma[ig],beta[ib])) + else: + ib,ig,ie=np.where(E==np.min(E)) + gamma=np.linspace(0,gamma_max,m,endpoint=False) + beta=np.linspace(0,beta_max,n,endpoint=False) + gamma=np.linspace(0,delta,k,endpoint=False) + x0=np.array((gamma[ig],beta[ib],delat[ie])) + #E[ib,ig],np.min(E) + + return E, x0, job, ig+m*ib + + +import matplotlib.pyplot as pl + +def getfig(E, beta_max=np.pi,gamma_max=2*np.pi,n=20,m=40): + gamma=np.linspace(0,gamma_max,m,endpoint=False) + beta=np.linspace(0,beta_max,n,endpoint=False) + shiftg=0.5*(gamma[1]-gamma[0]) + shiftb=0.5*(beta[1]-beta[0]) + + fig=pl.figure(figsize=(20,10), dpi=200, facecolor='w', edgecolor='k'); + pl.imshow(E,interpolation='nearest',origin='lower' + ,extent=[shiftg,gamma_max-shiftg,shiftb,beta_max-shiftb], aspect=1) + pl.xlabel('$\gamma$',loc='left') + pl.ylabel(r'$\beta$') + pl.colorbar(shrink=0.75, pad=0.05, orientation="horizontal") + pl.xticks(np.linspace(0, gamma_max,9,endpoint=False))#, ['0', r'$\pi$', r'$2\pi$']) + pl.yticks(np.linspace(0, beta_max,5,endpoint=False))#, ['0', r'$\pi$', r'$2\pi$']) + #pl.yticks([0,beta_max], ['0', r'$\pi/2$']) + pl.xlabel('$\gamma$',loc='left') + pl.ylabel(r'$\beta$') + return fig + + +def getSpectrum(CR, FR): + I=np.array((1,1)) + Z=np.array((1,-1)) + + R=CR.shape[0] + + H_cost = np.zeros(2**R) + H_exco = np.zeros(2**R) + for r in range(R): + for i in range(R): + if i==0: + if i==r: + Zr = Z + else: + Zr = I + else: + if i==r: + Zr = np.kron(Z,Zr) + else: + Zr = np.kron(I,Zr) + H_cost += 0.5*CR[r]*Zr + H_exco += 0.5 * FR[:,r] @ (np.sum(FR,axis = 1) - 2)*Zr + + for r in range(R): + for r_ in range(r+1,R): + for i in range(R): + if i==0: + if i==r or i==r_: + ZZrr_ = Z + else: + ZZrr_ = I + else: + if i==r or i==r_: + ZZrr_ = np.kron(Z,ZZrr_) + else: + ZZrr_ = np.kron(I,ZZrr_) + Jrr_ = 0.5 * FR[:,r] @ FR[:,r_] + H_exco+=Jrr_*ZZrr_ + + n=100 + e = np.zeros((2**R,n)) + x=np.linspace(0,4,n) + # E=[] + for i in range(n): + e[:,i]=-H_cost+x[i]*H_exco + # if i==0: + # for j in range(len(E)): + # found=False + # if abs(E[j]-e[j,])<1e-8 + # e[:,i] /=np.max(np.abs(e[:,i])) + + emax=np.max(e,axis=0) + emin=np.min(e,axis=0) + + es = np.zeros((2**R,n)) + for i in range(2**R): + es[i,:]=(e[i,:]-emin)/(emax-emin) + + + ue={} + lab={} + j=0 + ci=33 + for i in range(2**R): + used=False + ik=None + # print() + # print("new i",i) + # print(ue) + for key in ue: + # for j in range(len(ue)): + # print("key=", key, e[i,0], ue[key][0]) + # print(ue) + if abs(e[i,ci]-ue[key][ci])<1e-8: + used=True + ik=key + break + # print("used=", used) + if used: + print(e[i,ci], "already used") + lab[ik]+=", "+"{0:b}".format(i).zfill(R) + else: + j+=1 + ue[j] = e[i,:] + lab[j]="{0:b}".format(i).zfill(R) + # for j in range(len(ue)): + # pl.plot(x,ue[i,:], label="{0:b}".format(i).zfill(3)) + return x, e, es, ue, lab + +class QAOAChoose(QAOAbase): + + num_params=2 + #def __init__(self, CR, FR): + # super().__init__(CR, FR) + + def createCircuit(self, x,useExco,barrier=False,sv=None): + F, R = np.shape(self.FR) + gamma=x[::2] + beta=x[1::2] + qc = QuantumCircuit(R) + if sv is not None: + qc.initialize(sv) + if barrier: + qc.barrier() + qc.h(range(R)) + if barrier: + qc.barrier() + i=-1 + for ue in useExco: + i+=1 + if ue: + qc = self.apply_exco(qc, self.FR, gamma[i]) + else: + qc = self.apply_cost(qc, self.CR, gamma[i]) + if barrier: + qc.barrier() + qc = self.mix_states(qc, beta[i]) + if barrier: + qc.barrier() + qc.barrier() + return qc + +class QAOANor(QAOAbase): + + num_params=3 + + def createCircuit(self, x,mu,depth,barrier=False,sv=None): + F, R = np.shape(self.FR) + gamma=x[::3] + beta=x[1::3] + delta=x[2::3] + qc = QuantumCircuit(R) + if sv is not None: + qc.initialize(sv) + if barrier: + qc.barrier() + qc.h(range(R)) + if barrier: + qc.barrier() + i=-1 + for d in range(depth): + i+=1 + qc = self.apply_exco(qc, self.FR, gamma[i]) + qc = self.mix_states(qc, beta[i]) + qc = self.apply_cost(qc, self.CR, delta[i]) + qc = self.mix_states(qc, beta[i]) + if barrier: + qc.barrier() + qc.barrier() + return qc + + + +class QAOASwe(QAOAbase): + + num_params=2 + + def createCircuit(self, x,mu,depth,barrier=False,sv=None): + F, R = np.shape(self.FR) + gamma=x[::2] + beta=x[1::2] + qc = QuantumCircuit(R) + if sv is not None: + qc.initialize(sv) + if barrier: + qc.barrier() + qc.h(range(R)) + if barrier: + qc.barrier() + i=-1 + for d in range(depth): + i+=1 + qc = self.apply_exco(qc, self.FR, mu*gamma[i]) + qc = self.apply_cost(qc, self.CR, gamma[i]) + if barrier: + qc.barrier() + qc = self.mix_states(qc, beta[i]) + if barrier: + qc.barrier() + qc.barrier() + return qc + + From 06c8b8cff929359abcbe86d1ab17daeecc757695 Mon Sep 17 00:00:00 2001 From: Franz Georg Fuchs Date: Wed, 29 Sep 2021 16:04:45 +0200 Subject: [PATCH 02/12] update --- newbeginning.py | 119 +++++++++++++++++++++++++----------------------- 1 file changed, 61 insertions(+), 58 deletions(-) diff --git a/newbeginning.py b/newbeginning.py index c1d755a..04c0a9b 100644 --- a/newbeginning.py +++ b/newbeginning.py @@ -22,28 +22,28 @@ def cost(self, binstring,mu=1, plotsolutions=False): if plotsolutions and excost==0: print(x, (self.CR @ x)) return ( (self.CR @ x) + mu *excost ) - - def measurementStatistics(self, job, n, m, k=None, mu=1): + + def measurementStatistics(self, job, nb, ng, nd=None, mu=1): costs=self.cost_vector(mu) - if k is not None: - E=np.zeros((n,m)) - for i in range(n): - for j in range(m): - statevector = job.result().results[j+m*i].data.statevector + if self.num_params==2: + E=np.zeros((nb,ng)) + for i in range(nb): + for j in range(ng): + statevector = job.result().results[j+ng*i].data.statevector probs = np.abs(statevector)**2 E[i,j] = costs @ probs[::-1] else: - E=np.zeros((n,m,k)) - for i in range(n): - for j in range(m): - for l in range(k): - statevector = job.result().results[l+k*(j+m*i)].data.statevector + E=np.zeros((nb,ng,nd)) + for i in range(nb): + for j in range(ng): + for l in range(nd): + statevector = job.result().results[l+nd*(j+ng*i)].data.statevector probs = np.abs(statevector)**2 E[i,j,l] = costs @ probs[::-1] # print(costs,probs) return E - - + + def cost_vector(self, mu, plotsolutions=False): F, R = np.shape(self.FR) state_strings = np.array([''.join(i) for i in itertools.product('01', repeat= R)]) @@ -54,18 +54,18 @@ def cost_vector(self, mu, plotsolutions=False): if plotsolutions: print("min cost=", np.min(costs)) return costs - + def mix_states(self, qc, beta): qc.rx( - 2*beta, range(qc.num_qubits)) return qc - + def apply_exco(self, qc, FR, gamma): for r in range(qc.num_qubits): - + hr = 0.5 * self.FR[:,r] @ (np.sum(self.FR,axis = 1) - 2) if not np.isclose(hr, 0): qc.rz( 2*gamma * hr, range(qc.num_qubits)) - + for r_ in range(r+1,qc.num_qubits): Jrr_ = 0.5 * self.FR[:,r] @ self.FR[:,r_] if not np.isclose(Jrr_, 0): @@ -73,7 +73,7 @@ def apply_exco(self, qc, FR, gamma): qc.rz(2*gamma * Jrr_, r_) qc.cx(r, r_) return qc - + def apply_cost(self, qc, CR, gamma): for r in range(qc.num_qubits): hr = 0.5 * self.CR[r] @@ -81,51 +81,57 @@ def apply_cost(self, qc, CR, gamma): qc.rz( 2*gamma * hr, r) return qc - def getElandscape(self, backend, mu,useExco=None, beta_max=np.pi,gamma_max=2*np.pi,delta_max=2*np.pi,n=20,m=40,k=40, barrier=False, sv=None): + def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np.pi,delta_max=2*np.pi,ng=40,nb=20,nd=40, barrier=False, sv=None): depth=1 circuits=[] if self.num_params==2: - for beta in np.linspace(0,beta_max,n,endpoint=False): - for gamma in np.linspace(0,gamma_max,m,endpoint=False): - + for beta in np.linspace(0,beta_max,nb,endpoint=False): + for gamma in np.linspace(0,gamma_max,ng,endpoint=False): + if useExco is not None: qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv) else: qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv) - + circuits.append(qc) else: - for beta in np.linspace(0,beta_max,n,endpoint=False): - for gamma in np.linspace(0,gamma_max,m,endpoint=False): - for delta in np.linspace(0,delta_max,k,endpoint=False): + for delta in np.linspace(0,delta_max,nd,endpoint=False): + for beta in np.linspace(0,beta_max,nb,endpoint=False): + for gamma in np.linspace(0,gamma_max,ng,endpoint=False): qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv) - + circuits.append(qc) - + job = execute(circuits, backend) - E = self.measurementStatistics(job, n, m, k, mu=mu) - + E = self.measurementStatistics(job, nb, ng, nd, mu=mu) + if self.num_params==2: - ib,ig=np.where(E==np.min(E)) - gamma=np.linspace(0,gamma_max,m,endpoint=False) - beta=np.linspace(0,beta_max,n,endpoint=False) - x0=np.array((gamma[ig],beta[ib])) + i_b,i_g=np.where(E==np.min(E)) + i_b=i_b[0] + i_g=i_g[0] + gamma=np.linspace(0,gamma_max,ng,endpoint=False) + beta=np.linspace(0,beta_max,nb,endpoint=False) + x0=np.array((gamma[i_g],beta[i_b])) + index=i_g+ng*i_b else: - ib,ig,ie=np.where(E==np.min(E)) - gamma=np.linspace(0,gamma_max,m,endpoint=False) - beta=np.linspace(0,beta_max,n,endpoint=False) - gamma=np.linspace(0,delta,k,endpoint=False) - x0=np.array((gamma[ig],beta[ib],delat[ie])) - #E[ib,ig],np.min(E) - - return E, x0, job, ig+m*ib + i_b,i_g,i_d=np.where(E==np.min(E)) + i_b=i_b[0] + i_g=i_g[0] + i_d=i_d[0] + gamma=np.linspace(0,gamma_max,ng,endpoint=False) + beta=np.linspace(0,beta_max,nb,endpoint=False) + delta=np.linspace(0,delta_max,nd,endpoint=False) + x0=np.array((gamma[i_g],beta[i_b],delta[i_d])) + index=i_d+nd*(i_g+ng*i_b) + + return E, x0, job, index import matplotlib.pyplot as pl -def getfig(E, beta_max=np.pi,gamma_max=2*np.pi,n=20,m=40): - gamma=np.linspace(0,gamma_max,m,endpoint=False) - beta=np.linspace(0,beta_max,n,endpoint=False) +def getfig(E, beta_max=np.pi,gamma_max=2*np.pi,nb=20,ng=40): + gamma=np.linspace(0,gamma_max,ng,endpoint=False) + beta=np.linspace(0,beta_max,nb,endpoint=False) shiftg=0.5*(gamma[1]-gamma[0]) shiftb=0.5*(beta[1]-beta[0]) @@ -148,7 +154,7 @@ def getSpectrum(CR, FR): Z=np.array((1,-1)) R=CR.shape[0] - + H_cost = np.zeros(2**R) H_exco = np.zeros(2**R) for r in range(R): @@ -165,7 +171,7 @@ def getSpectrum(CR, FR): Zr = np.kron(I,Zr) H_cost += 0.5*CR[r]*Zr H_exco += 0.5 * FR[:,r] @ (np.sum(FR,axis = 1) - 2)*Zr - + for r in range(R): for r_ in range(r+1,R): for i in range(R): @@ -181,7 +187,7 @@ def getSpectrum(CR, FR): ZZrr_ = np.kron(I,ZZrr_) Jrr_ = 0.5 * FR[:,r] @ FR[:,r_] H_exco+=Jrr_*ZZrr_ - + n=100 e = np.zeros((2**R,n)) x=np.linspace(0,4,n) @@ -193,15 +199,14 @@ def getSpectrum(CR, FR): # found=False # if abs(E[j]-e[j,])<1e-8 # e[:,i] /=np.max(np.abs(e[:,i])) - + emax=np.max(e,axis=0) emin=np.min(e,axis=0) - + es = np.zeros((2**R,n)) for i in range(2**R): es[i,:]=(e[i,:]-emin)/(emax-emin) - - + ue={} lab={} j=0 @@ -233,7 +238,7 @@ def getSpectrum(CR, FR): return x, e, es, ue, lab class QAOAChoose(QAOAbase): - + num_params=2 #def __init__(self, CR, FR): # super().__init__(CR, FR) @@ -264,7 +269,7 @@ def createCircuit(self, x,useExco,barrier=False,sv=None): qc.barrier() qc.barrier() return qc - + class QAOANor(QAOAbase): num_params=3 @@ -293,9 +298,7 @@ def createCircuit(self, x,mu,depth,barrier=False,sv=None): qc.barrier() qc.barrier() return qc - - - + class QAOASwe(QAOAbase): num_params=2 From a782feb86772d8eced24e09789fc699875273eb1 Mon Sep 17 00:00:00 2001 From: Franz Georg Fuchs Date: Wed, 29 Sep 2021 19:47:14 +0200 Subject: [PATCH 03/12] update --- newbeginning.ipynb | 515 ++++++++++++++++++++++++++++++++++++--------- newbeginning.py~ | 334 +++++++++++++++++++++++++++++ 2 files changed, 750 insertions(+), 99 deletions(-) create mode 100644 newbeginning.py~ diff --git a/newbeginning.ipynb b/newbeginning.ipynb index cd5e9ce..ef43cb1 100644 --- a/newbeginning.ipynb +++ b/newbeginning.ipynb @@ -2,14 +2,23 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, - "id": "8a197d6c", + "execution_count": 62, + "id": "a88a8c77", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", - "%matplotlib inline\n", + "# %matplotlib inline\n", "import matplotlib.pyplot as pl\n", "pl.ion()\n", "import numpy as np\n", @@ -28,8 +37,8 @@ }, { "cell_type": "code", - "execution_count": 2, - "id": "17b6aa44", + "execution_count": 55, + "id": "1096f1c6", "metadata": {}, "outputs": [], "source": [ @@ -39,16 +48,19 @@ }, { "cell_type": "code", - "execution_count": null, - "id": "ec3209bb", + "execution_count": 54, + "id": "913fbe8f", "metadata": {}, "outputs": [], - "source": [] + "source": [ + "# from qiskit.providers.aer import StatevectorSimulator\n", + "# backend = StatevectorSimulator(device=\"gpu\")" + ] }, { "cell_type": "code", "execution_count": 3, - "id": "38f714eb", + "id": "742fbfa4", "metadata": {}, "outputs": [], "source": [ @@ -63,7 +75,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "8c30000f", + "id": "bce5ef0f", "metadata": {}, "outputs": [], "source": [ @@ -78,7 +90,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "85e4a9bf", + "id": "cbd722cc", "metadata": {}, "outputs": [], "source": [ @@ -95,7 +107,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "474f0468", + "id": "24dce8c5", "metadata": {}, "outputs": [], "source": [ @@ -109,7 +121,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "fe43ea74", + "id": "11fccaf6", "metadata": {}, "outputs": [], "source": [ @@ -119,7 +131,7 @@ { "cell_type": "code", "execution_count": null, - "id": "5bbc444d", + "id": "65297e2a", "metadata": {}, "outputs": [], "source": [] @@ -127,7 +139,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "328216c2", + "id": "afa02c16", "metadata": {}, "outputs": [], "source": [ @@ -137,12 +149,12 @@ { "cell_type": "code", "execution_count": 9, - "id": "c5ba4458", + "id": "d228f979", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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6J/bu3UtzczNVVVUmRymEELElPDbG8LZt0Z51wzt2wMQEym4nsaIC7yc/gTsQIHHJEpTdbna4wmRv9A2zrqWLDa3drG/tpvP0CABzUp1cW55Nnc9Dnc9LTqrT5EgvjCRSZ7n//vv5xCc+wb333ht9bPHixfziF7/g4x//uImRCSFE7NChECN79kz2rNuyBT0yAhYLzkWL8Hz0o7gCNbhWrMCSmGh2uMJk3YOjbDhkJE3rW7o43B0EIMPtoNbnoc7nod7npcjjmpG3diWROsvKlSs5fPjwOY+Vl5ebE4wQQsQIrTVjra3G5vBGo9lveGAAgIS5ZdFbda7qaqwpKSZHK8w2MDJOc1tPdIP4vk7j70pSgo1AaQb31BZTX+ZhXlYyFsvMS5zeLCYTqc5//VfjnvolmAiF6LFao18nlC8g5+///lJDE0KIuDDWfpxg4wZjn1NTI6FTXQDY8/JIvv49uAO1uGv82DIzTY5UmG1kPMSWI72sazX2Oe1o7ycU1iTYLFQVp/M318+nzudhSV4qNuvs2xMXk4mUEEKI6TVx6hRDTc3RsgTj7caRcmumF3ekHIErEMCRn29ypMJsE6EwO473RzeIbzrSy9hEGKtFsSw/lUdW+agr87CiMB2n3frObzjDxWQiNRUrRwMDAyQnJ09BNEIIMfuETp8muHEjQxsaCTY1MnqwBQBLSgoufzUZ99+PO1CDw+ebkftWxNQJhzX7TwxE9zg1tfUwODoBQHluCvcEiqjzefCXZJDsjL/DBDGZSAkhhJha4eFhglu2RGs5jezeDeEwyunEVVlJyi234A7U4lxYjrLO/lUE8fa01hzpDhp7nFq7aGztpntoDIBij4tbKuZQ5/NQW+rBk5RgcrTmk0TqLHfddRcNDQ10dXWRn5/P5z73OTIyMvjkJz/JqVOneN/73kdFRQUvvfSS2aEKIcSfpMfHGd65M3qybnjbNvT4ONhsJC5divfhh3HXBnAuW4bFEZv1ecT0OXF6hPWtXaxvMU7XHe8bBiA7JYFV8zKN03VlXvLS5BTmm0kidZZnnnnmvI/fdttt0xyJEEK8S+FwpCSBUQQzuGkzOhgEpUgoX0D6PfcY+5wqK7G43e/8fmJW6wuO0XioO9qzrvWU0Rg6zWWnttTDw6tKqfV58WW65dbuO5BESgghZiCtNWOHDxu36jY0krluHW1Dxg9DR2kpae+/FVdNAJe/Glt6usnRCrMNjU7QfLjHaL3S0sWejtNoDS6HFX9JBh+uLqDO52VhbsqsKEkwnSSREkKIGWK8o4OhxqbIPqdGJk6cAMA2J5fRZUvx3XorrkAAe3a2yZEKs41OhNh2tI91rd1saDWa/U6ENQ6rhYrCND5zzTzqyzwsK0jDPgtLEkwnSaSEECJGTfT0EGxqiiZPY0eOAGBNT8cVqDFqOdUGsBcUsGbNGlJXrzY3YGGaUFiz+43+6K26jYd7GBkPY1GwJC+VB68spb7MQ1VRBokOOUwwlWIqkdJaz9h7sVprs0MQQsxwocFBghs3RnvWje7fD4DF7cZVXU36R+7CFQiQMHeuNPuNc1prWk4Osq6li19vGeFTDb/n9IhRkmBedhJ3VhdS5/NQU+Ih1RV/JQmmU8wkUk6nk+7ubjwez4xLprTWdHd343TOjAaLQojYEB4dZXjrNmNz+IZGhnftglAI5XCQuGIFmZ/5NK6aGqPZry1mvl0LkxzrCRp7nCIVxE8NjAKQmah47+J86so81Po8ZCXLz6LpFDP/MvPz82lvb+fUqVNT8n4jIyPTmtg4nU7ypeKvEOJP0BMTjOzeHT1ZN7xlK3p0FKxWEhcvxvPgg7hrAyRWVGCR/zGLe6cGIs1+IxXEj/YYzX69SQlGo98yD3U+L607mlm9eqnJ0cavmEmk7HY7JSUlU/Z+DQ0NLF++fMreTwgh3i0dDjN6sCXadiW4cSPhwUEAEubNI/3OD+MKRJr9JiWZHK0wW//wOE2HjDpOG1q72X/CaPab7LRRW+rhgfpi6su8lGUlnXPnptWsgAUQQ4mUEELMdFprxo8di7ZdGWpsItTTA4C9qJCU973PqOXk92PzeEyOVphteCzEpiM90dYrO4/3E9bgtFuoLs7g/cvzqPN5WJyXilVKEsQsSaSEEOISjJ84GV1xGmpqZOKNDgBsWVkkXXkFrkjDX/ucOSZHKsw2Hgqzo72PdS1GLaetR/sYC4WxWRQVBWl84qoy6sq8LC9MI8EmJ+tmCkmkhBDiXQj19THU3Bw9WTd26BAAltRU3H4/rgcfxB2oxVFSPOMOzoipFQ5r9naejrRd6aK5rYehsRBKQXlOCvfVFVFX5sVfnIE7QX4cz1Ry5YQQ4k8IB4MEN2+Jnqwb2bsXtEYlJuKqqiLtgx/EFajBWV4uJQninNaatq6haBHMDa3d9AbHASjNdHPbijzqfV4CpR7S3dLfcLaQREoIIc6ix8YY3rEjeqtuePsOGB8Hux3XsmV4P/Eo7kDAKEkgzX7jXkf/cLQI5obWbjr6RwCYk+rkmvJs6nxGSYLcVGn2O1tJIiWEiGs6FGJkz97Jk3VbtqCHh8FiwblwIZ777zN61q1YjsXlMjtcYbLuwVEaD/WwLpI4tXUZ/Q0z3A5qfR6jLIHPS5HHJbd244QkUkKIuKK1Zqy1NbriFGzeSPj0aQAS5paR9sEPGifrqquxpqaaHK0w2+DoBM1t3ZFVp272dhh/V5ISbPhLMri7ppD6Mi/zs5Ol2W+ckkRKCDHrjbUfP+dkXehUFwD2vDyS33Md7sjJOltmpsmRCrONjIfYcrTXqCDe0sX29n5CYY3DZqGqKJ2/fs886sq8LMlLlWa/ApBESggxC010dzPU2Eiw0ajlNH7sGABWrxd3TY3R8Le2Fod0I4h7E6EwO4/3G7WcWrvYdLiX0Qmj2e/S/DQeXlVKnc9LZVE6TruUJBBvJYmUEGLGCw0MENy4kaSf/YxDX/wSowcPAmBJTsbl95Nxzz24AjVGs1/ZtxLXtNbsPzEQKUnQTdOhbgZGjWa/C3KSubumiDqfB39pBilOafYr3pkkUkKIGSc8MsLwli2RnnWNjOzaBeEwLrsdW3U1KTffjLs2YJQkkGa/cU1rzdGe4Dkn67qHxgAo9ri4adkc6ss8BEo9eJMSTI5WzETyHUYIEfP0+DjDO3dF9zkNb92KHh8Hm43EpUvxPvwwrkANG/v7WXjddWaHK0x24vQI61u7oqtOx/uGAchKTmDlvEzqfB7qyrzkpUlJAnHpJJESQsQcHQ4zun9/ZMVpA8MbNxEOBkEpEsoXkH7PPcbJuspKLG735G9saDAtZmGevuAYmzon+OPzu1jX0kXrKaMkQWqindpSDw+vKqXW58WX6ZZbu2LKSSIlhDCd1pqxw4ejm8ODTU2E+voAcJSUkHLrLbgDtbj81djS080NVpguODbBxsO9rG/pYn1rN7ve6EdrSLS34y/J4I6qAurLvJTnpkizX3HZSSIlhDDFeGencbJuQyNDTU1MdHYCYMvJIWn1auNkXSCAPSfH5EiF2cYmwmw71he9Xbf1WC/jIY3dqlhekM6nr5mLa+AY9998FQ6blCQQ00sSKSHEtJjo7SXY1BztWTd25AgA1rQ0XIEA7oBRy8leVCS3X+JcKKzZ88Zp1rd2sa61m41tPQyPh7AoWJyXyp9fUUqdz0NVcTouh/FjrKHhDUmihCkkkRJCXBahwSGGN2+KFMFsYnTvXgAsLheu6mrS7rwTd22AhHnzpNlvnNNa03pqMHqyrvFQD/3DRrPfuVlJfLi6gFqfh0CJh1SXlCQQsUUSKSHElAiPjjK8dZvRdqWxieGdO2FiAuVwkLh8OZmf/hSuQIDExYtRdvlhGO/ae4ORU3XGPqeTA6MA5KUlcv2ibOp8Xup8HrJSnCZHKsSfJomUEOKi6IkJRnbvnjxZt2UrenTUaPa7ZDGeBx7AXRsgcflyLE75YRjvugZHWd/azYbWLta1dHO0JwiAN8lBrc9Lvc9Dnc9LoUcaQ4uZRRIpIcQF0VozevDg5Mm65mbCg4MAJMybR/qdH8ZVE8BVXYU1OdnkaIXZTo+M03yoh3WRIpj7OgcASE6wUVPq4aP1xdT5vMzLTpI9cWJGk0RKCHFeWmvG29sZ2rCBYGMTQ01NhLq7AbAXFpJy441GLaeaGmwej8nRCrONjIfYfKSXdZGSBDva+whrSLBZqC7O4G9vmEOdz8viOSnYpNmvmEUkkRJCRI2fPEmwqSlalmD8jTcAsGVm4q6rmzxZl5dncqTCbOOhMDva+6O1nDYf7WVsIozNolhWkMYnriqj1udlRVEaCTZp9itmL0mkhIhjof5+hpqbjRWnxkbGWlsBsKSm4vZXkxHZ5+QoLZXbL3EuHNbs7TzNhtZu1rV00dzWw9BYCKWgPCeF+2qLqPN5qS7JIClBfrSI+CF/24WII+FgkODmLUYtp8YmRvbsAa1RiYm4KitJ+8BtuAIBnAsWoKyyihDPtNa0dQ2xvnWy2W9v0ChJUOp1c9uKPOp9XgKlHtLdDpOjFcI8kkgJMYvpsTGGd+yI1HJqZHj7DhgfB7sd17JleB991DhZt2QJyiE/DONdR/8w61u6oxvEO/pHAMhNdXL1guxIs18PuanS7FeIMy45kVJKFQA/AHKAMPAtrfUTl/q+Qoh3T4dC2I4cofs73zFO1m3ejB4eBqVwLlyI5757jZN1lSuwuOSYebzrHRpjw6HuaOuVQ11Gs990l51an4dHfV7qy7wUe1xya1eItzEVK1ITwP/SWm9RSiUDm5VSL2ut90zBewsh/gStNWNtbZGTdY0MNW/E09/PScDh85H2gQ8YPev8fqypqWaHK0w2ODrBxrYeo/VKSzd7O0+jNbgdVvwlGXykppBan4fynBQs0uxXiAtyyYmU1roD6Ij8ekAptRfIAySREuIyGD9+PFIEs5FgYyMTp04BYJ8zh+Rrr+FoaiqV99+PPSvL5EiF2UYnQmw50hetHr79WB8TYY3DZqGyMJ2/unYedWVeluanYpeSBEJcFKW1nro3U6oYWAss1lqfftNzDwEPAWRnZ1c+++yzU/a55zM4OEhSUtJl/YxYFs/zn21zVwMDOPbvN8a+/dgiiVMoOZnx+fMZWzCfsfnzCWVmArNv/u9GvM890eXmyOkwe7pD7O0JcaA3zHgYFFCSamGhx8pCj5WyNAsO6+xacYr3ax+vc4fpmf9VV121WWtddb7npiyRUkolAWuA/6e1/sWfem1VVZXetGnTlHzu22loaGD16tWX9TNiWTzPf6bPPTQwQHDjJoJNjQxtaGT0wAEALElJuPx+3IEArkANCXPnnnffykyf/6WIt7lrrTlwYpD1rV38umk/Lf2KgdEJABbkJFMbabtSU5pBinN29zeMt2t/tnieO0zP/JVSb5tITcmpPaWUHfg58ON3SqKEEOcKj4wwvHVr9GTdyK7dEAqhnE5cK1aQ8r734a4N4Fy4EGWTg7bx7mh30NjjFOlb1zU4BkCWS3HTsnzqIiUJMpMTTI5UiPgwFaf2FPBdYK/W+kuXHpIQs5seH2d4165oz7rhrVvRY2Ngs5G4ZAnejz+EqyZA4vIKLFKSIO6dHBiJFsFc39pNe+8wAJnJCVxR5qWuzEudz0PL9mZWr15qcrRCxJ+p+N/beuAeYKdSalvksb/XWr84Be8txIynw2FG9++PbBDfwPDGTYSDQQASystJv/tu3IEaEiursCa5TY5WmK0/OE5jW3e09crBk0Zj6BSnjVqfh4dWllLn8+DLPLfZb4tZAQsR56bi1N7rGHsZhRBEmv0eOcJQZMUp2NREqLcXAEdxMSm33oK7JoCrxo8tPd3kaIXZgmMTbDrcG60gvut4P2ENiXYr1SUZfLAyn3qfl4VzUrBKSQIhYo5suBBiCoyfOGHcqtvQyFBTExMdHQDYsrNJWrkSV20AdyCAPSfH5EiF2cYmwmxv74veqtt6tJfxkMZuVSwvSOdT18ylzueloiANh01KEggR6ySREuIiTPT2EmzeGO1ZN9bWBoA1LQ1XTQ3ujz+Eq6YGR3GxVISOc6GwZm/H6WjitPFwD8FIs9/Fc1J54IoSo9lvcTouh3xLFmKmkX+1QlyA8NAQwU2bjH1OTY2M7t0HWmNxuUisqiTtQx/CXRsgYf58lEVWEeKZ1prWU0PRtisbDnXTP2w0+y3LSuJDlfnU+rzUlnpIdc3ukgRCxANJpIQ4j/DYGMNbt0VrOQ3v3AkTEyi7ncTly8n81CeNk3VLFqPs8sMw3h3vG2Zdi9Hod31rFydOjwKQl5bIexZmU1dm1HPKTnGaHKkQYqpJIiUERrPfkd27jc3hjRsIbt6CHh0FiwXnksV4HnjAOFm3YgUWp/wwjHddg6M0HupmXYuROB3pNk5hetwOAj4P9T4v9WUeCjOk2a8Qs50kUiIuaa0ZPXiQ4JmedRs3Eh4YACBh3jzSPnyHUUG8uhprcrLJ0QqzDYyM03SoJ3qybl+n8XclOcFGTamH+2qLqSvzMD87WRInIeKMJFIiboy1tzO0YQPByMm6UHc3APaCAlJuuB5XIIC7pgab12typMJsI+MhNh/pjW4Q33m8n1BYk2CzUF2cwd9cP4f6Mi+L56Rgk2a/QsQ1SaTErDVx6lR0c3hwQyPjx48DYM304q6rwx2owVUTwJGfZ3KkwmwToTDb2/vZ0NrFupZuNh/tZWwijNWiWJafyl+s9lHr87CiMB2n3Wp2uEKIGCKJlJg1QqdPE2xuJvnnP6f1C19grKUVAEtKCi5/NRkf/SjuQA0On09uv8S5cFizr3PAOFnX2k1zWw+DkWa/5bkp3BMoor7Mg7/EQ1KCfJsUQrw9+Q4hZqxwMEhwy1aCjRsYamxiZM8eCIdJdDiw+/2k3nor7kAtzoXlKKusIsQzrTVHuoOsiyROG1q76Rkymv2WeN3cUjGHep+XWp+HDLf0NxRCXDhJpMSMocfHGd6xw9gcvqGR4PbtMD4OdjuJy5bifeQR3LUBmvv6WHjttWaHK0zW2T8SXXFa39LFG/0jAOSkOFk9P5M6n9Hsd05aosmRCiFmMkmkRMzS4TAje/dOnqzbvBkdDIJSOBcuxHPfvbhqArgqV2BxuSZ/Y0ODaTEL8/QOjbGxc4I//Gon61u7OXRqCIB0l51an4dHfF7qfR5KvG65tSuEmDKSSImYobVmrK1tcsWpuZlQfz8ADp+PtPe/3+hZ5/djTU01OVphtqHRCZoP97A+crJuT8dptAa34zj+kgw+4i+k1uehPCcFizT7FUJcJpJICVONv/GGcbIu0rNu4uRJAGxzckm65proyTp7dpbJkQqzjU6E2Hq0L5o4bTvWx0RY47BaWFGUxl9eO4/E00e5/5arsEtJAiHENJFESkyriZ4egk1N0eRp/MhRAKwZGdGkyV0bwF5QILdf4lworNl1vD9aBHPj4R5GxsNYFCzJT+NjK0up93mpLEon0WEcJmhoOC5JlBBiWkkiJS6r0OAgwY0bo/ucRvfvB8CSlISrupqMu+/GVRMgYd5cSZzinNaagycHWd/SxbrWbhoPdTMwYpQkmJ+dzJ3VhdT5PNSUekhNlP6GQojYIImUmFLh0VGGt25laEMjwcZGhnftglAIlZBA4orlZP7lX+IO1OBctAhlk79+8e5YT5D1kSKY61u76Ro0mv0WZrh435Jc6sq81JZ6yExOMDlSIYQ4P/lJJi6JnphgZNeuyK26Roa3bEGPjYHVSuKSJXg+9iDuQIDE5cuxJMgPw3h3cmCEDa3drG/pZv2hLo71DAOQmZzAFWUe6iK1nAoyXO/wTkIIERskkRLvig6HI81+G41Vp40bCQ8Zx8wTFiwg/a67cAVqjGa/SUkmRyvM1j88TuMhowDmupYuDp4cBCDFaSNQ6uHBK0qpL/Pgy0ySW7tCiBlJEinxJ2mtGT96dPJkXVMzoZ4eAOxFhaTcdBPu2gAuvx9bRobJ0QqzDY+F2HSkJ3Krrotdx/sJa3DajWa/H6zMp87nYdGcVKxSkkAIMQtIIiXeYvzESYJNxorTUFMjE290AGDLyiLpyitwBWpxB2qw5+aaHKkw23gozPZjfdHEaevRPsZCYWwWRUVBGp+4ei71Pg8VhWkk2KRNjxBi9pFEShDq62OoqdlInhqbGDt0CABraiqumhpcDz6IO1CLo6RYbr/EuXBYs6fj9DnNfoNjIZSCRXNSuL++mDqfh+riDNzS7FcIEQfkO10cCg8NEdyyxVhxatzA6N59oDXK5cJVVUna7bfjDtSQsGAByiI1eeKZ1prWU0NsONPs91A3fcFxAMqykrg9cqsuUOohzSXNfoUQ8UcSqTgQHhtjeNs2o5ZTUxPD27fDxATKbidx+XK8n/yEcbJu8WKUQ34YxrvjfcPR6uHrW7s4cdooSZCXlsh15dnURU7XZac4TY5UCCHMJ4nULKRDIWyHD9P17W8bPeu2bEGPjIDFgnPxYjwf/ahxsm7FCiyJiWaHK0zWPTjKhkPdrGvpZkNrF4e7gwB43A4CPg/1Pi/1ZR4KM1xya1cIId5EEqlZQGvNWEtLtJZTsLkZz8AAp4CEuXNJ+9CHjJN1VVVYU1LMDleYbGBknOa2yZN1+zoHAEhKsFFTksE9tcY+p/nZydLsVwgh3oEkUjPUWHt7tJbTUFMToa4uAOz5+aTccD1HUlKo+uhHsXm9JkcqzDYyHmLLkV7WRfY57WjvJxTWJNgsVBal8zfXz6fO52FJXio26VMnhBDviiRSM8TEqVMMNTUbtZwamxhvbwfA6vXiDgSMhr+BAI78fAD2NzRIEhWnQmHN1qO90T1Omw73MjoRxmpRLMtP5ZFVPurKPKwoTMdpl5IEQghxKSSRilGh06cJbtzIUGMTwcYNjB5sAcCSkoLLX03Gvffirg3gKCuTfStxLhzW7D8xYCROLV2sOxhk5PfrASjPTeHPAkXUlxklCZKd0uxXCCGmkiRSMSI8PBxt9jvU2MjI7t0QDqOcTlyVlaTeeiuumgDOheUoq6wixDOtNUd7gqxr6WZdaxeNrd10D40BUOxxEci1cfvKJdSWevAkSX9DIYS4nCSRMokeH2d4505jc/iGRoa3bUOPj4PNRuKyZXgfeQR3oAbnsmVYpCRB3DtxesQogtnSzfrWbo73Gc1+s1MSWDUvk1qfh7oyL3lpiTQ0NLB66RyTIxZCiPggidQ00eEwo/v2RduuBDdtRgeDoBTO8nLS77nHOFm3YgUWt9vscIXJ+oJjNEZKEqxv7aL1lNEYOs1lp7bUw8OrSqkr81LqdcutXSGEMJEkUpeJ1pqxtsPRnnXBpiZC/f0AOEpLSXu/cavO5a/Glp5ucrTCbMGxCZrbeljf2s26li72dJxGa3A5rPhLMrizupBan4eFuSlSkkAIIWKIJFJTaLyjI7o5fKixiYkTJwCw5eaSdNVVxopTIIA9O9vkSIXZxibC55ys23q0j4mwxmG1sLwwjc9cM4/6Mg/LCtKwS0kCIYSIWZJIXYKJ3l6CTU3GilNjI2NHjgBgTU/HFajBXRPAXRvAXlgot1/iXCis2f1Gf3TFadPhXobHQ1gULMlL5WMrS6nzeagqyiDRIYcJhBBippBE6l0IDQ4S3Lgx2rNudN8+ACxuN67qatI/cheuQICEuXOl2W+c01rTcnKQdZGedY2Hujk9MgHAvOwkPlxdQJ3PQ02ph9REKUkghBAzlSRSf0J4dNQoSXDmZN2uXRAKoRwOElesIPMznzFO1i1ejLLJH2W8O9YTNE7WtRon604NGM1+CzISee/iXOrKPNT6PGQlS7NfIYSYLeSn/1n0xAQju3ZFe9YNb9mCHhsDq5XExYvxPPgg7toAicuXY0mQ+jzx7tTAKOtbu9jQatRzOtZjlCTwJiVQ5/NQX+ahzuelIMNlcqRCCCEul7hOpHQ4zOjBFmNz+IZGghs3Eh4yjpknzJ9P+l134goEcFVXY01KMjlaYbb+4XGaDnVHN4gfODEIQLLTRqDUw5/Xl1BX5mVuVpLsiRNCiDgRV4mU1prxY8ci5QgaGWpsItTTA4C9qJCU973POFnn92PzeEyOVphteCzE5jPNflu62Hm8n7AGp91CdXEGty3Pp87nYXFeKlYpSSCEEHFp1idS4ydOEmyePFk3/sYbANiyski68gpc/hrjZN0cqQQd78ZDYbYf64uerNt6tI+xUBibRVFRkMYnrp5Lnc/D8sI0Emxysk4IIcQsTaSGt28n+Zlnaf33/2Ds0CEArKmpuPx+Mh78c9yBWhwlxXL7Jc6Fw5o9Haeje5ya23oIjoVQChbmpnB/fTG1Pg/+4gzcCbPyn4oQQohLNCt/Oozs24+zsRF7jZ+022/HHaghYcECKUkQ57TWHOoaMvY4tXSx4VA3fcFxAEoz3XxwRT71ZR5qSjyku6W/oRBCiHc2KxOp1FtvYbsng0XXXmt2KMJkb/QNRxOn9a3ddJ4eAWBOqpNry7OpL/NQW+olJ1VKEgghhHj3ZmUi1R0eoD3cSViHsShZhYonPUNjNHdO8Ptf7mRDazdtXcYpzAy3g1qfxyhL4PNS5HHJrV0hhBCXbFYmUv9z6H/4YscX+dZPvkV1TjU1uTXU5NZQmCytWmabwdEJmtu6WddilCXY23EagKSEN/CXZHB3TSH1ZV7mZydLs18hhBBTblYmUjf5buLk4ZP0p/XT1NHE74/8HoBsV3Y0qfLn+Mlx55gcqXi3RsZDbDnaa2wQb+lie3s/obDGYbNQWZjOX79nHs7TR7nv5quk2a8QQojLblYmUt5EL/4kP6uvWI3WmqMDR2nqaKKpo4nX2l/j162/BqAopYianBr8uX78OX7SnekmRy7ebCIUZufx/mgRzE2HexmdCGNRsDQ/jYdXlVLn81JZlI7TbpQkaGg4LkmUEEKIaTErE6mzKaUoSimiKKWIO+bfQViHOdh70EisOpt44dAL/PTATwGYnz4/umJVmV2J2+42Ofr4Ew5rDpwcYF1LNxtau2g61MPAqNHsd0FOMnfXFFHn8+AvzSDFKc1+hRBCmGvWJ1JvZlEW5mfMZ37GfO5ddC/j4XF2d+2mubOZpo4mnt33LD/Y8wOsyspi72JqcmsI5AZYmrmUBKv015tqWmuO9gSjRTA3tHbTPTQGQLHHxU3Lcqnzean1efAmyZ+/EEKI2BJ3idSb2S12KrIqqMiq4KGlDzEyMcLWk1tp7mymuaOZ7+z8Dt/a8S0SrAksz1purFjl1FDuKcdmifs/voty8vRI9FbdupZujvcZzX6zkhNYOS+TOp+HWp+H/HRp9iuEECK2SSbwJk6bk9o5tdTOqQVgYGyAzSc2R28FPrHlCQCS7clU5lRSk2PcCixLK5MTgW+jLzhG46Ee1rcatZxaThrNflMT7dSWenh4VSm1Pi++TLf8GQohhJhRJJF6B8mOZFYXrGZ1wWoAuoe72di5kaZOY/N6w7EGADKcGdGN6zU5NeQn58dtUhAcm6C5rSfaemX3G6fRGhLtVvwlGXyoMp/6Mi/luSnS7FcIIcSMJonUu+RJ9HBDyQ3cUHIDAG8MvkFTR1N0j9VvD/8WgDnuOUZSFbkVmOnKNDPsy2psIsy2Y33RPU5bj/UyHtLYrYrlhel8+pq51Jd5WZafhsMmp+mEEELMHpJIXaI5SXO4be5t3Db3NrTWtPW3RVerXjn6Cr9q+RUApaml+HP8BHIDVOVUkZqQam7glyAU1ux54zTrIrfqNrb1MDwewqJgcV4qf35FKXU+D9XFGSQ6rGaHK4QQQlw2kkhNIaUUpWmllKaVcteCuwiFQ+zr3WesWHU083zr8zy7/1kUinJPeXS1annWclz22N1YrbWm9dRg9GRd46Ee+oeNZr9zs5K4oyqfujIvgRIPqS4pSSCEECJ+SCJ1GVktVhZ5FrHIs4gHFj/AeGicHV07aO5oprGjkR/u+SHf2/U9bBYbS71LCeQG8Of6Wepdit1qbkLS3htkfUt3dIP4yYFRAPLSErl+UTZ1Pi91Pg9ZKdLsVwghRPyakkRKKXUD8ARgBb6jtX58Kt53trFb7VRmV1KZXckjFY8QHA+y9eRWmjqNFauvb/86X9v+NRJtiazIXhE9ETg/fT5Wy+W9RdY1OMr6VqMI5rqWbo72BAHwJjmo9Xmp93mo83kp9MTuypkQQggx3S45kVJKWYH/Bq4D2oGNSqlfa633XOp7z3Yuu4v6vHrq8+oB6B/tZ9OJTdFbgV/a/CUAUhwp+HP80ROBJakll3wi8PTIOE2RkgQbWrvZ1zkAQHKCjZpSDx+tL6bO52VedlLcnj4UQggh3slUrEj5gRat9SEApdSzwK2AJFLvUmpCKtcUXsM1hdcAcCp4KnoasKmjiT8c/QMAmYmZ0aSqJreGOUlz3vG9R8ZDbDrcaxTBbO1mZ3sfYQ0JNgvVxRn87Q1zqPN5WTwnBZv0qRNCCCEuiNJaX9obKHU7cIPW+sHI1/cANVrrT7zpdQ8BDwFkZ2dXPvvss5f0ue9kcHCQpKSky/oZ00lrTfdEN/tH9nNg5AAHRw4yEDZWkbw2L/Oc86Ij2ZpM/+lBToUS2dMTYk93iJbeMBMarApKUi2Ue6wszLBSlm7BPstqOc22a/9uxfP8Ze7xOXeI7/nH89xheuZ/1VVXbdZaV53vualYkTrfT+G3ZGda628B3wKoqqrSq1evnoKPfnsNDQ1c7s8wk9aalr6WaMX1TZ2bWD+4HoBEnc9gXxGjgz5CwVIWZmfx0SuMPU7VJRkkJczuMwaz/dq/k3iev8x9tdlhmCae5x/Pcwfz5z8VP1HbgYKzvs4H3piC9xXvwDqRC6evJNRRznDrjQyFD2Nzt2JPO4wtrQlr+jqsykq6ZxHJuTUkpvqxWVOQw5pCCCHE1JiKn6gbgblKqRLgOHAn8JEpeF/xJh39w6yLlCTY0NpNR/8IALmpTq5ZMIc63xLqyjzkpiby8qsvk1aeRmNHI80dzTy560m+vfPbOCwOKrIqqMmtwZ/jZ7F3sTRfFkIIIS7SJf8E1VpPKKU+AbyEUf7gSa317kuOTNAzNEbjIaMI5vrWbtq6hgBId9mp9Xl41OelvsxLscf1lpN1dmWnOqea6pxqWA5D40NsPrGZ5o5mmjqb+MrWrwDgtrupzJ5svjw3fS4WJZvNhRBCiAsxJUsRWusXgRen4r3i2eDoBBvbeqKJ056O0wC4HVZqSj3cXVNInc/LgpxkLO9yg7jb7mZl/kpW5q8EoHekl42dG6OnAte2rwUgPSGd6pxqo+p6bg2FyYVS/kAIIYR4G3JPx0SjEyG2HOkzimC2drP9WB8TYY3DaqGyKJ3/dd086sq8LM1PxT7FJQnSnem8p/g9vKf4PQB0DnWeU2rh90d+D0COOwd/zmTz5Wx39pTGIYQQQsxkkkhNo1BYs/N4v9F2paWbTUd6GBkPY1GwND+Nh1aWUufzUlWcjtM+vc1+c9w53OK7hVt8t6C15sjpIzR3Gq1s1rav5detvwagOKU4ur/Kn+MnzZk2rXEKIYQQsUQSqctIa82BE4NGEcyWbprauhkYmQBgQU4yd/kLqfd58ZdmkOKMnWa/SimKU4spTi3mjvl3ENZhDvQeiK5W/ab1N/xk/09QKBZkLIiuWFVmV8Z082UhhBBiqkkiNYW01hzrGWZdpNHvhtYuugbHACjMcHHT0lzqfF5qfR68SQkmR3vhLMrCgowFLMhYwH2L7mM8PM7urt3GicDOZp7e9zRP7XkKm7Kx2Ls4ur9qWeYyHFaH2eELIYQQl40kUpfo5OkR1rd2R1edjvcNA5CVnMAVZV7qyrzU+Tzkp8+elRq7xU5FVgUVWRU8vOxhRiZG2Hpya3SP1bd3fptv7vgmTquT5VnL8ef6CeQGKM8ov+zNl4UQQojpJInUu9QfHKexrZv1LcYG8ZaTgwCkOG3U+jx8fFUpdT4Pvsz4afbrtDmpnVNL7ZxaAE6PnWZz52aaOo1bgU9seYIneIJkezJVOVXRPVZlaWVx82ckhBBidpJE6h0ExybYdLiXdZEimLuO9xPWkGi3Ul2Swe2V+dT7vCyck4J1lvWsu1gpjhSuKryKqwqvAqBruIuNnRuje6xePfYqAB6n55zmy/nJ+WaGLYQQQrxrkki9ydhEmO3tfdFaTluP9jIe0titiuUF6XzqmrnU+bxUFKThsEnhygvhTfTy3pL38t6S9wJwfPA4zR3N0T1Wv237LQB5SXnRMgv+XD/eRK+ZYQshhBDvaHYmUkebKG39PuRPQGEtONxv+9JQWLPnjdNGSYLWbjYe7iE4FkIpWDwnlQeuKKE+UpLA5Zidf1zTLS8pj9vm3sZtc29Da82h/kM0dTTR3NnMy0de5hcHfwGAL9Vn3AbM9VOdU02KI8XkyIUQQohzzc7MoHMH+e2/gR/9Eix2yK+G0lVQshKdV0lrzxjrW43WK42HeugfHgegLCuJD1XmU+vzUlvqIdUVOyUJZiulFL40H740Hx8p/wihcIh9vfuitwF/cfAXPL3vaSzKQnlGeXTFann2chJtiWaHL4QQIs7NzkTK/zFeHyhgZZEN2tYydvBV7A2Poxr+jRESOB6aT3t4EePuSq4vr6RubjZ1Pg9ZKU6zI497VouVRZ5FLPIs4oHFDzAWGmNn185oYvWDPT/gyV1PYrPYWJa5LJpYLfEuwW6VxFcIIcT0mpWJVPfgKBtO2vhtfxbrW6/iSHcNKQzyHtdBbk5poWJiO6sGn4GxZ+BQGoSvgPHVULISvPNATpLFDIfVQWV2JZXZlfxFxV8QHA+y9eRWI7HqbOLr277O1/gaibZEVmSvoCanBtuojbAOS/NlIYQQl92sTKSe29zO17ePkpzQQU1pBvfVFlNf5mVe9lklCQY6oW0tHFpj/HffC8bjSTlGQhW5FUhaoXkTEW/hsruoz6unPq8egP7R/skTgZ1NfGnzlwD45k++SXV2dXSPVUlKiZRaEEIIMeVmZSL1/oo87L2Hue/mq7C9XbPf5BxYeocxtIbew0ZC1bYGDr0KO39qvC69ZDKpKl4JSZnTNg/xzlITUrm26FquLboWgJPBkzz1x6foT+unubOZPxz9AwBZiVn4c43+gIHcALlJuWaGLYQQYpaYlYlUTqoTX5r17ZOoN1MKMkqMUXmfkVid3DuZWO36BWz+vvHarEWTK1ZFdeBMvWzzEO9eliuL6qRqVl+xGq017QPt0cKg699YzwuHjJXHwuRCo4ZVpDhohjPD5MiFEELMRLMykbpkSkH2QmMEHobQBHRsN5KqtjWw+XvQ9HVQFpizHEpWGYlVQQ3Y5SRZrFBKUZBSQEFKAbfPux2tNQf7DtLcYbSy+V3b7/jZgZ8BMC99XnTjemV2JUmOJJOjF0IIMRNIInUhrDbIrzTGlX8FE6NwrDmSWK2FdU/A618CawIU+CcTqznLQU6SxQylFPPS5zEvfR5/tvDPmAhPsKd7D82dRnHQn+7/KT/c80Osysoi76JoxfWKrAoSrDOnybQQQojpI4nUxbAlQMmVxgAYHYAjGyL7q9bAq/9iDEeycfvvzK3ArEVgkZNkscJmsbE0cylLM5fy4JIHGQ2Nsv3k9mjF9Sd3Pcm3d34bh8URbb5ck1vDIs8ibBb5pyOEEEISqamRkAzz3mMMgKFuOPzaZGJ18CXjcZcHiq+MbF5fBRmlUmohhiRYE4wN6bl+AAbHBtlycguNHY00dTTxla1f4Stbv4Lb7qYquwp/jpFYzU2fK6UWhBAiTkkidTm4PbDo/cYA6G+HtrMSqz2/Mh5PyT+31ELKHJMCFueT5EhiZf5KVuavBKBnpIfmzuboHqs17WsAyHBmUJ1THT0RWJBcIKUWhBAiTkgiNR1S86HiLmNoDT2H4FCDkVgd+B1sf9p4nafMWKkqWWkMl5wkiyUZzgxuKL6BG4pvAKBjsIPmzuZo1fWXDhsrj7nu3OhqlT/HT7Y728ywhRBCXEaSSE03pcDjM0b1n0M4DCd3TxYG3fET2PRdQEHO4khiFSm1kCAnyWJJblIut5bdyq1lt6K15vDpw8ZqVaexWvV86/MAFKcUGycCI4lVaoKUzBBCiNlCEimzWSyQs8QYdZ+A0Dgc3zJZw6r5W7Dhq2CxQV7l5IpVgd/Y9C5iglKKktQSSlJL+PCCDxPWYQ70HoiuVv269df8ZP9PUCgWZCyIJlYrslbgsrvMDl8IIcRFkkQq1ljtUFhjjFV/A+PDcLRxstTCa1+Atf8OtkTjNWdKLeRWgMVqdvQiwqIsLMhYwIKMBdy36D7Gw+Ps6toVTax+vPfHfH/397Ep4+SgP9dPTU4NSzOX4rA6zA5fCCHEBZJEKtbZE8F3lTEAhvvgyPrJxOqVz8ErQEIqFF8xuXldazOjFm9it9hZnrWc5VnLeXjZwwxPDEebLzd3NPOtHd/iG9u/gdPqZHnW8uiKVXlGOVZJkIUQImZJIjXTJKbBghuNATB40ii1cChSdX3//wBQZ0+D7msnE6v0YrMiFueRaEukbk4ddXPqADg9dppNnZuMxKqzmS9v+TIAyY5kqrOr8ecaJwJLU0vlRKAQQsQQSaRmuqQsWPxBYwD0HYW2tfRu+CnZh1+DXUYLFNKKIqcBI3uskuUkWSxJcaRwdeHVXF14NQBdw11s7NxIU0cTjR2N/PHYHwHwJnqjJwJrcmvIS8ozM2whhIh7kkjNNmmFsPzP2NufT/aqVXBq/+TG9b2/hq0/NF6XuWAysSquh8R0c+MW5/AmenlvyXt5b8l7ATg+eJzmjuZocdAX214EIC8pj0BuAH+OUUjUm+g1M2whhIg7kkjNZkpB1gJj1DwE4RB07pi8Dbjlh8apQGWB3GWTiVVhLTjkJFksyUvK47a5t3Hb3NvQWnOo/5DRyqajmd8f+T0/P/hzAMrSysgL5RE+GqYqp4oUR4rJkQshxOwmiVQ8sViNRspzlsMVnzGaLx/fPJlYbfia0YDZYp9svlyy0ii7YJOTZLFCKYUvzYcvzcfd5XcTCofY17Mv2iNwfcd61ry6BouysDBjYbRH4PKs5STaEs0OXwghZhVJpOKZLcEo9FlUB1d9FsaG4OiGycSq4d+g4V/B7oai2snEKmepNF+OIVaLlUXeRSzyLuLPl/w5L7/6Munl6TR1GqUWfrD7Bzy560nsFjvLMpdF91ct9i7GbrGbHb4QQsxokkiJSQ43lF1rDIBgDxxZN1l1/eV/NB5PTI+UWohUXffOlebLMcSu7FTlVFGVU8WjFY8SHA+y+cTmaDubr237Gv+97b9JtCVSmV0Z3WM1P2O+NF8WQoh3SRIp8fZcGVB+szEATnecW2ph72+Mx5NzJ/sDlqyCtALzYhZv4bK7uDL/Sq7MvxKAvpE+Np7YGC218IVNXwAgNSHVOBGYU4M/109xSrGUWhBCiHcgiZS4cCm5sPQOY2gNvW3GStWhNdDyitEnECC9xKhddeZWoFtOksWSNGca1xVdx3VF1wFwYujEZPPlziZePvIyAFmurGhSFcgNkOPOMTNsIYSISZJIiYujFGSUGqPyfiOxOrlnMrHa9QvY/H3jtdmLJ1eriurAKSfJYkm2O5ubfTdzs+9mtNYcGzgW3V/1+vHX+c0hY+WxMLnQaLyc68ef4yfDmWFy5EIIYT5JpMTUUAqyFxkj8AiEJqBjm3EL8NAa2PQkNH4NlBXyVkwmVgV+ow2OiAlKKQpTCilMKeRD8z5EWIc52HswehvwxbYXee7AcwDMT58fXa1akbWCJEeSydELIcT0k0RKXB5WG+RXGePK/wXjI9DePLli9fqX4bUvgjUh0nx5JZSsNkozWOWvZaywKAvzM+YzP2M+9y66l4nwBLu6dtHc2UxzRzM/2fcTfrjnh1iVlcXexfhzjMRqWdYyEqwJZocvhBCXnfzEEtPD7pzckH71/4bRAaP58pkTgX/8F+BfwJFsVFo/s2KVtVBKLcQQm8VGRVYFFVkVPLT0IUYmRth+ant0f9WTu57k2zu/TYI1gYqsCmpyjFILCz0LsVnk240QYvaR72zCHAnJMO96YwAMdZ11InAtHPid8bjLCyVXTm5czyiVUgsxxGlzRutSAQyODbL5xOboHqv/2vpfsBWS7ElUZVdF91fNTZ8rpRaEELOCJFIiNri9sOg2YwD0HTu31MLuXxqPp+RHTgRGVrdS5pgXs3iLJEcSqwpWsapgFQA9Iz3R24BNHU00tDcAkOHMoDqnmprcGgI5AfKT86XUghBiRpJESsSmtAKo+IgxtIbuFjjUYKxW7X8Rtv3YeJ1n7mRiVXylUftKxIwMZwY3FN/ADcU3ANAx2EFTZ1M0sXrp8EsA5LpzjROBOUY7myxXlplhCyHEBZNESsQ+pYzq6d654P8YhMNwYufkbcBtz8DG7wAKcpZQai+FvHGj+XKCnCSLJblJuby/7P28v+z9aK05fPqwsb+qo4k/Hv0jv2r5FQAlqSXR/VXVOdWkJqSaG7gQQrwNSaTEzGOxQO4yY9R/CkLjRvPlyInA/KMvwI9/BRYb5FVNrljlVxv9BUVMUEpRklpCSWoJdy64k7AOs69nH80dzTR2NvJ86/M8u/9ZFIoFGQuMVja5flZkrcBld5kdvhBCAJJIidnAaofCgDFW/S2vv/ISK4vtk6UW1v4HrPk82BKN15ypup67DCxWs6MXERZlYaFnIQs9C7l/8f2Mh8bZ2bUzeivwR3t/xPd2fw+bxcZS79LoJvel3qXYrdJ8WQhhDkmkxKwTtiaAbzX4rjYeGO4zmi+fSaz+8E/G485UY1/VmVILmfPlRGAMsVvtrMhewYrsFTyy7BGGJ4bZemJrNLH65o5v8vXtXyfRlsiKrBX4c/3YRm2EwiGskiALIaaJJFJi9ktMgwXvMwbAwInIicAGI7na94LxeFL2Wc2XV0J6sUkBi/NJtCVSl1dHXV4dAKfHTrOpc1O06vp/bv5PAL7xk29QnV0dXbEqTS2VE4FCiMtGEikRf5KzYcntxgDoPWwkVGdWrHYaLVBIK5q8DVh8pfH7RMxIcaRwdeHVXF1orDx2DXfx/T9+n4H0AWPz+rE/AuBN9EYrrvtz/eQl5ZkZthBilpFESoj0YmOsuNcotXBq32Rited52PID43WZ5cZKVekqKKo3VrpEzPAmeqlyV7G6bjUA7QPt0YrrTR1NvNj2IgD5SfnR1arqnGq8iV4ToxZCzHSSSAlxNqUgq9wYNR+HcAg6tkcSqzVGUtX8TVAWyK2YTKwKAuCQk2SxJD85n/zkfD4474NorWnpa6G506hf9fvDv+fnB38OQFlamZFY5dRQlVNFsiPZ5MiFEDOJJFJC/CkWK+StMMYVn4GJUWjfZCRVbWthw1dh3ZfB6oB8/2RiNWcF2BxmRy8ilFLMTZ/L3PS53F1+NxPhCfZ2741uXP/5gZ/z470/xqIsLPIsihYHXZ61HKfNaXb4QogYJomUEO+GLcFoqlxcD1f9PYwOwtFGaGsw9lc1/Bs0/CvY3VBUa+yvKl0F2Uuk+XIMsVlsLMlcwpLMJTy45EHGQmNsP7U9umL1/V3f5zs7v4PdYqciqyK6x2qRdxF2i5RaEEJMkkRKiEuRkARzrzUGQLDHOBF4ZuN6yz8ajyemT5ZaKF0NnjIptRBDHFYH1TnVVOdU82jFowyND7HlxJboicCvbfsa/73tv3HZXFRmV0b3WM1LnyfNl4WIc5JICTGVXBmw8FZjAJx+49wTgXt/bTyePGeyzELpKkjNNy9m8RZuu5sr86/kyvwrAegb6WPjiY3RdjavHX8NgLSENKP5cqSdTVFKkZRaECLOSCIlxOWUMgeW3WkMraHn0OT+qpaXYcezxusySidvAxZfCW45SRZL0pxpXFd0HdcVXQdA51Bn9DZgU0cTLx95GYBsV/Y5zZdz3Dlmhi2EmAaSSAkxXZQCj88YVQ8YzZdP7pk8EbjzZ7D5e8ZrsxcbiVXJSiiqA2eKubGLc+S4c7jFdwu3+G5Ba83RgaPRpGpt+1p+3WqsPBanFEeTquqcatKd6SZHLoSYapJICWEWiwVyFhuj9i8gNAFvbI2sWK2Bjd+Bxv8GFTk5eCaxKqgBu5wkixVKKYpSiihKKeKO+XcQ1mEO9h6M7q/6n7b/4acHfgrAgowF0cSqMrsSt91tcvRCiEsliZQQscJqg4JqY6z8axgfgWNNk7cCX/9PeO0LYE2AwppIYrUK5iw3fq+ICRZlYX7GfOZnzOfeRfcyHh5nd9dumjubae5o5tl9z/KDPT/Aqqws9i6O1rBalrWMBGuC2eELId6lS/ruq5T6D+BmYAxoBT6qte6bgriEEHansWeqdJXx9cjpyebLbWvhj/8X+L/gSDbKMZxZsdJhU8MW5zpTQqEiq4KHlj7EyMQI209tj94K/M7O7/CtHd8iwZpARVaF0comx89Cz0JsFkmQhYh1l/qv9GXgs1rrCaXU54HPAn936WEJId7CmQLz32sMgKGuyaSqbQ0c+B0AdfZU6Lp6cvN6eomUWoghTpszWj4BYGBsgM0nNkfb2Tyx5QkAkuxJVGVXGZvXc/3MTZsrJwKFiEGXlEhprX9/1peNwO2XFo4Q4oK5vbD4A8YA6DsGbWvpafwpOUcbYfcvjcdTCyZXq0pWQkqueTGLt0h2JLO6YDWrC1YD0D3czcbOjTR2NNLc2UxDewMAGc4ManKMpKomt4aC5ALzghZCRCmt9dS8kVK/AX6itf7R2zz/EPAQQHZ2duWzzz47JZ/7dgYHB0lKSrqsnxHL4nn+8Tx3iMzf7SZx+DjpvTtI791BWt8u7BMDAAy58ulLW0pv+lL60hYzYZ89veVm47XvmejhwMgBDowcYP/Ifk6HTgOQYc1gnnNedFhHrLNu7u/GbLz2Fyqe5w7TM/+rrrpqs9a66nzPvWMipZT6A3C+Yij/oLV+PvKafwCqgA/oC8jMqqqq9KZNm94x8EvR0NDA6tWrL+tnxLJ4nn88zx3eZv7hMJzYaRQFbVsDR9bDeBBQkLt0cuN6YcCo1j5DzfZrr7Wm7XSbcSKwo5nmzmZOjxmJVY49h6t8V0WbL6cmpJoc7fSa7df+T4nnucP0zF8p9baJ1Dve2tNaX/sOb34fcBNwzYUkUUIIE1gskLvMGPWfgokxOL55cn9V49dh/X+BxQ75VZO3AvOrpflyDFFKUZpaSmlqKXctuItQOMT+3v00dzTz4u4X+VXLr3hm3zMoFOWe8mjF9eVZy3HZXWaHL8SsdKmn9m7A2Fy+SmsdnJqQhBCXnc1hNFUuqoXVfwdjQTi6YTKxWvN5WPM42F3GKtWZxCp3GVisZkcvIqwWKws9C1noWUhxVzH1V9azs2tndOP6D/f+kO/t/h42i42l3qXRTe5LvUuxW6X5shBT4VJP7X0VSABejpwmadRaP3zJUQkhppfDBWXXGANguBcOr5usYfWH/2M87kyD4ismTwR658mJwBhit9pZkb2CFdkreIRHCI4H2XpyK02dRqmFb2z/Bl/f/nUSbYmsyFoRPRG4IH0BVkmQhbgol3pqr2yqAhFCxJDEdCi/yRgAAyfg8GtGYnVoDex7wXg8Kefc5stphebFLN7CZXdRn1dPfV49AP2j/Wzq3BQ9EfilzV8CIMWRYjRfjhQHLUktkVILQlwgqfYmhHhnydmw5HZjAPQeNlaqDq2BQw2w02iBQnpxJLGK3ApMyjIpYHE+qQmpXFN0DdcUGSuPp4KnaOo0Nq43dTTxytFXAMhKzMKf68ef4yeQGyA3SUpmCPF2JJESQrx76cXGWHEvaA2n9k0mVrufhy0/MF6XWW6sVJWshKJ6SEwzMWjxZpmuTG4qvYmbSm9Ca037YHs0qVr/xnpeOGSsPBYkF0STquqcajyJHpMjFyJ2SCIlhLg0SkFWuTFqPm40X+7cHim1sBY2PwVN3wBlMfoCnlmxKgyAPdHs6EWEUoqC5AIKkgv44LwPorWmpa+F5s5mGjsaeenwS/z84M8BKEsri7ayqcqpItkxe2qRCfFuSSIlhJhaVhvkVRrjyr+CiVFo3zhZw2r9V4wGzFYHFNRMJlZ5K0BOksUMpRRz0+cyN30ud5ffzUR4gr3de6Mb15878Bw/2vsjLMrCYs/iaMX1iswKnDan2eELMW0kkRJCXF62BOOkX/EVwD/A6AAc2RA5EbgGXv1/xnAkQVHd5P6q7MVG/SsRE2wWG0syl7AkcwkPLnmQ0dAoO07toLGjkaaOJr6363t8Z+d3cFgcVGRV4M8xEqvF3sXSfFnMavK3WwgxvRKSYd57jAEw1A1HXp+8FXgw0sIzMQNKrpysuu7xSamFGJJgTaA6p5rqnGo+ufyTDI0PRZsvN3c289VtX+Wr276K2+6mMrsyWhx0bvpcLEoSZDF7SCIlhDCX2wMLbzUGwOk3IoVBI5vX9zxvPJ6SN1lqoWQVpOaZF7N4C7fdzcr8lazMXwlA70gvGzs30txpbF5f274WgPSE9MlSC7k1FCYXSqkFMaNJIiWEiC0pc2DZncbQGnoOTdavOvASbH/GeF2Gb/JEYPFKIyETMSPdmc57it/De4qNlcfOoc5oUtXU0cTvjxgrj9mu7GhS5c/xk+M+X2tXIWKXJFJCiNillHFLz+ODqgeM5ssnd0+uVu34KWx60nht9hJ89lKYM2a0vkmQk2SxJMedwy2+W7jFdwtaa44OHKWpo4nGjkbWtq/l162/BqA4pTi6v8qf4yfNmWZu4EK8A0mkhBAzh8UCOUuMUfsohMbhja3RFau8Iy/C08+DJXJy8MxtwPxqsMtJslihlKIopYiilCLumH8HYR3mQO+B6GrVC4de4KcHfopCMT9jPjU5Riubquwqab4sYo4kUkKImctqhwK/MVb+Da+/8hIrSxImN66/9kVY+x9gc0aaL6+EktVG82WrfPuLFRZlYUHGAhZkLOC+RfcxHh5nd9fuaPPlp/c9zVN7nsKmjJODZ1aslmUuw2F1mB2+iHPynUQIMWuErQlQutoYACP9k6UWDq2BV/4Z+GdISIXi+skVq6xyOREYQ+wWOxVZFVRkVfDxZR9nZGLEaL4cORH47Z3f5ps7vonT6mR51nL8uX7so3ZC4ZA0XxbTThIpIcTs5UyF+TcYA2Dw1LnNl/e/aDzuzjzrROBKSC+RxCqGOG1OaufUUjunFoCBsYFoqYXGjkae2PIEAN989ptU5VRFmy/70nxyIlBcdpJICSHiR1ImLP6AMQD6jp5bamGX0QKF1EIjoTpzKjBZTpLFkmRHMqsLVrO6YDUAXcNdPPXHpxhIH6Cpo4lXj70KgMfpMSquR/ZYFSQXmBi1mK0kkRJCxK+0Qlj+Z8bQGroOTlZc3/cCbPuR8Trv/LNKLVwBienmxi3O4U30UumuZHXdagCODx43mi9H2tn8tu23AOQl5Z1zIjDTlWli1GK2kERKCCHAuJWXOc8Y/o9BOASdOydvA279ETR/C1DGZvUziVVhLTjcZkcvzpKXlMdtc2/jtrm3obWmrb+Nxo5Gmjub+cPRP/DLll8C4Ev1RXsEVmVXkZqQanLkYiaSREoIIc7HYoU5Fcao/zRMjMHxzZEVq7Ww4Wuw7gmw2I3yCmcSq7wqsMlJslihlKI0rZTStFI+Uv4RQuEQ+3r3RUst/KrlVzyz7xksykJ5Rnl0f9Xy7OUk2hLNDl/MAJJICSHEhbA5jEKfRbWw+jEYG4KjjZOJVcPj0PBvYHcZq1RnEqucpUZSJmKC1WJlkWcRizyLeGDxA4yFxthxake06voPdv+AJ3c9ic1iY1nmsmhitcS7BLvVbnb4IgZJIiWEEBfD4Yaya4wBMNwLh9dNJlYv/3/G4840Y19VySojufLOkxOBMcRhdVCVU0VVThV/UfEXBMeDbDm5JbrH6uvbvs7X+BqJtkRWZK8gkBPAn+tnfvp8KbUgAEmkhBBiaiSmQ/lNxgAY6IS216CtAQ6tNTavAyTlnHsiMK3QtJDFW7nsLq7Iu4Ir8q4AoH+0n42dG6M1rL64+YsApDhS8Of4o3usSlJKpNRCnJJESgghLofkHFj6IWNoDb2HJ1erDr0KO39qvC69ZDKxKl5plGgQMSM1IZVri67l2qJrATgZPHlO8+U/HP0DAFmJWfhz/fhz/ARyA+Qm5ZoZtphGkkgJIcTlphRklBij8n4jsTq5Z7KG1e5fwpanjNdmLZpMrIrqjKKiImZkubK4qfQmbiq9Ca017QPt0TIL699YzwuHjJXHwuTC6GqVP8dPhjPD5MjF5SKJlBBCTDelIHuRMQKPQGgCOrYbtwHb1sLm70HT10FZYc7yycSqoAbscpIsViilKEgpoCClgNvn3Y7WmoN9B43bgB3N/Lbtt/zswM8AmJc+L7paVZldSZIjyeToxVSRREoIIcxmtUF+pTGu/F8wPgLtGyMrVmtg/X/B618Ca4LRoLnkTKmFFUbjZhETlFLMS5/HvPR53LPwHibCE+zp3hNtvvzcgef40d4fYVVWFnkXUZNTE22+7LQ5zQ5fXCRJpIQQItbYnVBypTH4BxgdmGy+3LYGXv0XeBVwJEGR0XzZPeiG8EqwWMyOXkTYLDaWZi5laeZSPrb0Y4yGRtl+cnv0VuCTu57k2zu/jcPioCKrInobcLF3MTaL/HieKeRKCSFErEtIhnnvMQbAUHek+XJkxergS1QD7Pm/UHxl5FbgasgolVILMSTBmmBsSM/188nln2RofCjafLmpo4mvbP0KAG67m8rsyuiK1dz0uViUJMixShIpIYSYadweWPR+YwD0H2fvb79JecJJo53Nnl8Zj6fkG0nVmT1WKXNMClicj9vuZmX+SlbmrwSgd6SX5s7maA2rte1rAUhPSD/nRGBBcoGUWoghkkgJIcRMl5rHiZyrKV+92jgR2N06eRvwwO9g+9PG6zxzJxOrkpXgkpNksSTdmc71xddzffH1AHQOdUZXq5o6mnjp8EsA5LhzoqtV/hy/mSELJJESQojZRSnwlhmj+s8hHIYTuyZLLez4CWz6LqAgZ8nkbcDCWkiQk2SxJMedw61lt3Jr2a1orTl8+nB0taqhvYHnW58HIMuWxeuNr0cTK2m+PL0kkRJCiNnMYoHcpcao+wSExuH4lsn9Vc3fgg1fBYvNaLh85jZgfjXYEsyOXkQopShJLaEktYQPL/gwYR1mf89+mjubeXH3i/ym9Tf8ZP9PUCgWZCwwegTm1rAiawUuu8vs8Gc1SaSEECKeWO1QWGOMVX8D48NwrMnYW9W2Fl77Aqz9d7A5oTAQKbWwCuZUSPPlGGJRFso95ZR7yik6VUT9ynp2d+2msaOR5s5mfrz3x3x/9/exKePk4Jk9Vssyl+GwOswOf1aRREoIIeKZPdG4tVe62vh6pB+OrI8kVmvglc8ZjyekQnH9ZA2rrHI5ERhD7BY7FVkVVGRV8PCyhxmeGGbbyW3RHoHf2vEtvrH9GzitTpZnLcefa2xcL88ol+bLl0gSKSGEEJOcqTD/vcYAGDw5ub+qbQ3sf9F43J0Z2bQeSawySsyLWbxFoi2R2jm11M6pBeD02Gk2dW6K9gl8YssTPMETJNuTqcqpMm4F5tTgS/PJicB3SRIpIYQQby8pC5bcbgyA3iPnJla7fm48nlY4eRuwZCUkZ5sXs3iLFEcKVxdezdWFVwPQNdxFc0czzZ3NNHY08uqxVwHwOD3R1Sp/jp/85Hwzw54RJJESQghx4dKLIP0eWHGPUWqh68DkbcC9v4atPzRel7lgMqkqvgIS00wNW5zLm+jlxtIbubH0RgDaB9qjSdWZPoEAeUl50aTKn+vHm+g1M+yYJImUEEKIi6MUZM43Rs1DEA5B5w5jterQGiOpav4mKAvkLpu8FVgYAIfb7OjFWfKT88lPzucDcz+A1prWvlaaOo3my78/8nt+ftBYeSxLK4uWWajKqSLFkWJy5OaTREoIIcTUsFhhznJj1H8aJsbg+KbJE4EbvgbrngCLPdJ8OZJY5VWCTU6SxQqlFGXpZZSll3F3+d2EwiH29eyL9gj8+YGf8+O9P8aiLCzMWIg/109NTg3Ls5eTaEs0O/xpJ4mUEEKIy8PmgKI6Y1z1WRgbgqMbJhOrhseh4d/A7oai2snEKmeJlFqIIVaLlUXeRSzyLuKBxQ8wFhpjx6kd0RWrH+z+AU/uehK7xc6yzGXRPVaLvYuxW+xmh3/ZSSIlhBBiejjcUHatMQCCPXD49cmN6y//f8bjzjQouXJy87p3rpRaiCEOq4OqnCqqcqp4tOJRguNBtpzcEm1l8/VtX+dr275Goi3xnObL8zPmz8rmy5JICSGEMIcrAxbeYgyA0x3nngjc+xvj8eTcc0stpBWYF7N4C5fdxRV5V3BF3hUA9I30sfHExmgNqy9u/iIAqQmp+HOM24D+XD/FKcWzotSCJFJCCCFiQ0ouLPuwMbSG3rbJjestrxh9AgEySicbLxevhKRMc+MW50hzpnFd0XVcV3QdACeGTkTrVzV1NvHykZcByHJlRVeranJryHHnmBn2RZNESgghROxRykiYMkqh8n4jsTq5ZzKx2vUL2Px947VZi/A5SiF3GIrqwSknyWJJtjubm303c7PvZrTWHBs4Ft24/vrx1/nNIWPlsSilKFpmwZ/jJ8OZYXLkF0YSKSGEELFPKcheZIzAIxCagI5tcKgB2tYy58hL8MxvQEVODpZGbgMW1BhtcERMUEpRmFJIYUohH5r3IcI6zMHeg9EVqxfbXuS5A88BMC99XrTiemV2JUmOJJOjPz9JpIQQQsw8VhvkVxlj5V+z7pXfs7LUObli9fqX4bUvgjXBaNBcshJKVhtJllV+9MUKi7IwP2M+8zPmc8/Ce5gIT7C7e7exv6qjmZ/s+wk/3PNDrMo4OXjmVmBFVgUJ1gSzwwckkRJCCDELhK2OyX1TV/9vGDl9bqmFP/4L8C/gSI40X45sXs9aCJbZd5JsprJZbCzLXMayzGU8tPQhRkOj0ebLTZ1NPLnrSb6989s4LA6WZy2nJreGtPE0c2M29dOFEEKIy8GZAvOuNwbAUBccfm1yxerA74zHXd5IqYVIYpVRKqUWYkiCNSG6GR1gcGyQzSc2R/dY/dfW/+LBzAdNjVESKSGEELOf2wuLbjMGQH/7ZKmFQ2tg9y+Nx1PyjaTqzB6rlDnmxSzeIsmRxKqCVawqWAVAz0gPm9ZvMjUmSaSEEELEn9R8qPiIMbSG7lZoa5hcrdr+tPE6z9zJxKr4SqP2lYgZGc4MHBZz2wtJIiWEECK+KQXeMmNUPwjhMJzYZRQFbVsL25+FTd8FlNG+pjRScb2wFhJi8ySZmD6SSAkhhBBns1ggd6kx6j4JoXE4vsVIrA6tgaZvwvqvgMUGeVWTtwHzq8EWGyfJxPSRREoIIYT4U6x2o4RCYQ2s+lsYC8KxRiOpOvwarP0PWPN5sCVCYWAyscqtkObLcUASKSGEEOLdcLjAd7UxAIb74Mj6yR6Bf/gn43FnqrGv6syJwMz5ciJwFpJESgghhLgUiWmw4EZjAAyenEyq2tbCvheMx91Z554ITC82K2IxhSSREkIIIaZSUhYsud0YAL1Hzk2sdv3MeDytKJJYrTZWrpKzTQtZXDxJpIQQQojLKb0I0u+BFfcYpRZO7Z9Mqvb+Grb+0HhdZvnkilVRvbHSJWKeJFJCCCHEdFEKshYYo+bjEA5Bx/bJE4FbfgDN3wRlMTarn0msCgLG3iwRcySREkIIIcxisULeCmNc8ZcwMQrtmyZXrDZ8FdZ9GawOyPdP7q/KqzROEwrTTUkipZT6a+A/gEytdddUvKcQQggRd2wJRlPl4nq46u9hdBCONhpV19vWwqv/Cq/+P7C7oagOSlaSNJAE4ZXSfNkkl5xIKaUKgOuAo5cejhBCCCGiEpJg7rXGAAj2wOHXJzevv/yPVAHs+WcovsIos1CyCrxzpdTCNJmKFan/BP4WeH4K3ksIIYQQb8eVAQtvMQbA6Q72vvhNyp2Rkgt7f2M8npwbSaoie6xS882LeZZTWuuL/81K3QJco7X+tFLqMFD1drf2lFIPAQ8BZGdnVz777LMX/bkXYnBwkKSk+O2BFM/zj+e5Q3zPX+Yen3OH+J5/dO5akzjcSVrfDtJ7t5PWtxPH+GkAgom59KUtpTd9KX1pSxh3pJoc9dSZjmt/1VVXbdZaV53vuXdMpJRSfwByzvPUPwB/D7xHa93/TonU2aqqqvSmTZveMfBL0dDQwOrVqy/rZ8SyeJ5/PM8d4nv+MvfVZodhmnie/9vOPRyGk3smbwMeXgdjA8Zz2UsmV6sKa8GZMq0xT6XpuPZKqbdNpN7x1p7W+tq3edMlQAmwXRn3YfOBLUopv9a68xLiFUIIIcSlslggZ7Exav8CQhPwxtbJjesbvwON/w3KapwCLFlpjIIasDvNjn7GuOg9UlrrnUDWma/fzYqUEEIIIaaZ1QYF1cZY+TcwPgLHmiZXrF7/T3jtC2BNMBo0l6yEktUwZ7nxe8V5yZ+MEEIIEY/sTuPWXukq4B9h5PS5zZf/+C/Av4Aj2SjHcGbzetZCKbVwlilLpLTWxVP1XkIIIYSYZs4UmH+DMQCGuiJJVSSxOvA743GXF0qunEysMkrjutSCrEgJIYQQ4q3cXlj8AWMA9B07N7Ha/Uvj8dSCyG3ASGKVkmtezCaQREoIIYQQ7yytAJbfbQytoetgpJXNGtj3P7Dtx8brvPMmk6riK4zaV7OYJFJCCCGEeHeUgsx5xvB/zCi1cGKn0Xi5bS1sexo2fhtQkLvUSKzOlFpwuM2OfkpJIiWEEEKIS2OxQO4yY9R/CkLjcHyzkVQdWgNN34D1/wUWO+RXT5ZayK8Gm8Ps6C+JJFJCCCGEmFpWOxQGjLHqb2EsCEc3TO6xWvvvsOZxsCVCUe3kHqvcZWCxmh39uyKJlBBCCCEuL4cLyq4xBsBwHxxZF7kVuAb+8E/G485UKL5yMrHKnB/zJwIlkRJCCCHE9EpMgwXvMwbAwInJ04Bta2DfC8bjSdnnnghMLzIt5LcjiZQQQgghzJWcDUs/ZAyAnrbJ24CH1sDO54zH04vPTaySst72LaeLJFJCCCGEiC0ZJcaovM8otXBq3+SJwN3Pw5YfGK/LWkh6zh3AatNClURKCCGEELFLKcgqN0bgYaP5cuf2aGI1YTO3nIIkUkIIIYSYOaw2yKs0xpV/xUBDg6nhSNdBIYQQQoiLJImUEEIIIcRFkkRKCCGEEOIiSSIlhBBCCHGRJJESQgghhLhIkkgJIYQQQlwkSaSEEEIIIS6SJFJCCCGEEBdJEikhhBBCiIskiZQQQgghxEWSREoIIYQQ4iJJIiWEEEIIcZEkkRJCCCGEuEhKaz39H6rUKeDIZf4YL9B1mT8jlsXz/ON57hDf85e5x694nn88zx2mZ/5FWuvM8z1hSiI1HZRSm7TWVWbHYZZ4nn88zx3ie/4y9/icO8T3/ON57mD+/OXWnhBCCCHERZJESgghhBDiIs3mROpbZgdgsniefzzPHeJ7/jL3+BXP84/nuYPJ85+1e6SEEEIIIS632bwiJYQQQghxWc34REopdYNSar9SqkUp9dh5nldKqf+KPL9DKbXCjDgvhwuY+2qlVL9Saltk/H9mxHk5KKWeVEqdVErtepvnZ+11hwua/2y+9gVKqVeVUnuVUruVUp8+z2tm5fW/wLnP5mvvVEo1K6W2R+b/ufO8ZrZe+wuZ+6y99gBKKatSaqtS6oXzPGfedddaz9gBWIFWoBRwANuBhW96zY3AbwEFBIAms+OexrmvBl4wO9bLNP+VwApg19s8Pyuv+7uY/2y+9rnAisivk4EDcfTv/kLmPpuvvQKSIr+2A01AIE6u/YXMfdZe+8j8/gp4+nxzNPO6z/QVKT/QorU+pLUeA54Fbn3Ta24FfqANjUCaUip3ugO9DC5k7rOW1not0PMnXjJbrztwQfOftbTWHVrrLZFfDwB7gbw3vWxWXv8LnPusFbmeg5Ev7ZHx5o2+s/XaX8jcZy2lVD7wPuA7b/MS0677TE+k8oBjZ33dzlu/qVzIa2aiC51XbWQp+LdKqUXTE1pMmK3X/d2Y9ddeKVUMLMf4v/Ozzfrr/yfmDrP42kdu72wDTgIva63j5tpfwNxh9l77LwN/C4Tf5nnTrvtMT6TUeR57c4Z+Ia+ZiS5kXlswytovA74C/OpyBxVDZut1v1Cz/torpZKAnwOf0VqffvPT5/kts+b6v8PcZ/W111qHtNYVQD7gV0otftNLZu21v4C5z8prr5S6CTiptd78p152nsem5brP9ESqHSg46+t84I2LeM1M9I7z0lqfPrMUrLV+EbArpbzTF6KpZut1vyCz/dorpewYicSPtda/OM9LZu31f6e5z/Zrf4bWug9oAG5401Oz9tqf8XZzn8XXvh64RSl1GGMby9VKqR+96TWmXfeZnkhtBOYqpUqUUg7gTuDXb3rNr4F7Izv6A0C/1rpjugO9DN5x7kqpHKWUivzaj3G9u6c9UnPM1ut+QWbztY/M67vAXq31l97mZbPy+l/I3Gf5tc9USqVFfp0IXAvse9PLZuu1f8e5z9Zrr7X+rNY6X2tdjPGz7o9a6z9708tMu+626fiQy0VrPaGU+gTwEsYptie11ruVUg9Hnv8G8CLGbv4WIAh81Kx4p9IFzv124BGl1AQwDNypI8cbZjql1DMYJ1S8Sql24P9gbL6c1df9jAuY/6y99hj/d3oPsDOyXwTg74FCmPXX/0LmPpuvfS7wlFLKipEk/FRr/UI8fM/nwuY+m6/9W8TKdZfK5kIIIYQQF2mm39oTQgghhDCNJFJCCCGEEBdJEikhhBBCiIskiZQQQgghxEWSREoIIYQQ4iJJIiWEiEtKqVuUUo+9w2tWq/N0mo889xmllOvyRCeEmCkkkRJCxCWt9a+11o9fwlt8BpBESog4J4mUEOKyUEr9mVKqWSm1TSn1zUjD1Wql1A6llFMp5VZK7VZKLY489wWl1M7I85+MvMc1SqmtkcefVEolvOkzspRSmyO/XqaU0kqpwsjXrUopV6Qi9M+VUhsjoz7y/P1Kqa9Gfu1TSjVGnv9npdTgWR+TpJT6mVJqn1Lqx5HKyZ8C5gCvKqVenYY/TiFEjJJESggx5ZRS5cCHgfpIk9UQcLfWeiNGK4d/Af4d+JHWehfwEFACLNdaLwV+rJRyAt8HPqy1XoLRieGRsz9Ha30ScCqlUoArgU3AlUqpIowmp0HgCeA/tdbVwAeB75wn5CeAJyKveXN/ruUYq08LgdLInP4r8rqrtNZXXdyfkhBiNpjRLWKEEDHrGqAS2Bhp/ZUInIw8988YvSJHgE9FHrsW+IbWegJAa92jlFoGtGmtD0Re8xTwKPDlN33WeozWKSuBf8Vo5KqA185674WROABSlFLJb3qPWuD9kV8/DXzhrOeatdbtAJG2LMXA6+/4JyCEiAuSSAkhLgcFPKW1/ux5nssAkjB6AzqBocjr39yvSnFhXsNYjSoCngf+LvJeZzaJW4BarfXwOW+uLvTtGT3r1yHk+6YQ4ixya08IcTm8AtyulMoCUEplRG63AXwL+Efgx8DnI4/9HnhYKWU783qMzvbFSqmyyGvuAdac57PWAn8GHNRah4EejOal685670+cebFSquI879GIcdsPjO7yF2IAePPKlhAizkgiJYSYclrrPcD/Bn6vlNoBvAzkKqXuBSa01k8DjwPVSqmrMfYtHQV2KKW2Ax/RWo9gdHB/Tim1EwgD3zjPZx2O/HJt5L+vA31a697I158CqiKb2PcAD58n5M8Af6WUagZygf4LmOa3gN/KZnMh4pvS+s2r6UIIEV8i9aCGtdZaKXUncJfW+laz4xJCxD651y+EEMbG+K8qY+NUH/CAueEIIWYKWZESQgghhLhIskdKCCGEEOIiSSIlhBBCCHGRJJESQgghhLhIkkgJIYQQQlwkSaSEEEIIIS6SJFJCCCGEEBfp/we8S3yyxu0jOQAAAABJRU5ErkJggg==\n", 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\n", 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"text/plain": [ "
" ] @@ -184,15 +196,69 @@ }, { "cell_type": "code", - "execution_count": 13, - "id": "58c71729", + "execution_count": 78, + "id": "b6491723", "metadata": { "scrolled": false }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mu= 0.1\n", + "mu= 0.2\n", + "mu= 1\n", + "mu= 10\n" + ] + }, + { + "data": { + "image/png": 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xceLEVa5vaWmJgw46KH73u99FRMR+++0Xn/70p2PIkCGxcOHCuPnmm2Pq1Knx4IMPxoc//OGYNWtW1NXVrbKeUqkUO+64Y4wZMyZ23XXXeOc73xn9+/eP5cuXxzPPPBPXX399/PznP49nnnkmxo0bFw8//HBsu+22G7XvQMTAgQNj7NixMWrUqBg4cGD0798/Ojs747nnnoubb745br311liwYEEccsghMXv27Hjve9+bZLtz586Nb3zjG1FXVxfV1dXr/DSpzXU+szmfLwJrtjmeR5TL5a7LdXV1scsuu8TLL78cTz311Aat5+ijj4777rsvIiKGDBkSX/jCF2LnnXeOtra2ePDBB2PKlCmxYMGCuOWWW6Jv375x1VVXrbKO++67LyZMmBBtbW1RW1sbp556aowfPz569OgRjz76aFx22WXx4IMPxoUXXhi9e/eOL3zhC5u288BqbY5jzQ9/+MOu929qamri5JNPjv322y/69u0bTz31VFxxxRVx//33x/z58+NDH/pQPProo9GrV69V1pPiWLM+z+OuueaauPjiiyNi9c/j4P+3d+fheo33/vjfO5NIyEBEpGIqQWsIEaX4EoTW2KBVitDqqYOWojW0Ja225KiDg2rVEJRGqXmqxlRTTsyi5jloQiQRZM5evz/y289JZO/sZ++s7J3E63Vdua6Vve513/da63k+a3g+6140z3/+53/myCOPbHB+586dS2mnse/52muv3eC8MuLMvC677LIMGDCgwfk9e/Zc6PLAEqRVU0IBWKzqnspp165d8cgjjyww/7/+679Kearm4IMPLpIUyy23XHHzzTc3WK62traYNWvWAn+/7rrrKv0YNGhQvaPP/OMf/6g8EXnUUUfVW/+89Wy99dbF7NmzFyjz+OOPF+3bty+SFN26dau3P0D1Tj311OLWW28txo0bVxRFUbzxxhuLZeSTxr6rU6dOnW+0qGeeeWaBMmXFmqIoipEjR1bqOuSQQ4qZM2c2WLaM0fvg82r33Xcvrr322nqP6UVRFB988EHRt2/fyvfxgQceaHZb99xzT6WePffcc4E2P/jgg2KNNdaonENMnDhxgTrKjDOfdc455xRJig022KA4+eSTSxt1AmjZWNOYSZMmFcstt1yRzB2Frj5nnXVWpS+HHXZYvW8AuOyyyyplzjrrrHrrqeZaqC72JCl+/OMfN21lgIqG4su8brzxxsr3bfDgwaW1279//yJJ8atf/apYc801i2ThI2WWeT7TUteLQMMWx3XEXXfdVfzhD38onnzyycr5xJAhQyp1VzNS5mOPPVYpv8466xRTpkxZoMxbb71VdOvWrUjmvrVg/Pjx882vra0tNtpooyJJ0bZt22LkyJEL1DFjxoxi0KBBRZKiY8eOxdtvv928lQYWanHEmnnfiHbbbbfVW2afffZZ6HVPGbGmWltuuWWRzB2d96233mpWHcD/KeP368bMO1Jmc5UVZ+YdKdP9Xlh2GLYHYBk1evToylM53/ve97L11lsvUOb444/PhhtumCQ577zzMmvWrCa389BDD+Wqq65KMnfUuL322qvBsjU1NWnXbsFBmocPH16ZvvDCC9OhQ4cFyuy888759re/nSS5+OKLM3HixAXKPPLII5Xpk08+OW3btl2gTP/+/bPHHnskSSZPnpwXXnihwf4CjfvlL3+ZPfbYI6uuuupibae+2DGv5ZdfPsccc0zl/3Xxb15lxZra2tr853/+Z5Jk0003zaWXXpr27ds32Lf62gGqc9ttt+Vb3/pWvcf0JOnRo0fOPvvsyv+vv/76ZrdVN5pBu3bt8vvf/36BNnv06JFhw4YlmXsOcckllyxQR1lx5rPefvvtysi8f/jDH8QVKFlLxprGXHvttZkxY0aS5OCDD663TF2s6dy5c84555zU1NQsUOawww7LNttskyQ566yzMmfOnAXKNHZ+lcwdtXOFFVZIUv/5FVCdhuLLvL7xjW9k/fXXT1Le9+28887LE088kfXXXz8nnnhiVcuUeT7TUteLQP0W13XErrvumh/84AfZbLPNqjqfqM+893GPPfbYet/gtMYaa+Swww5LMvdezP/+7//ON/+JJ57Ic889l2TuCFU77bTTAnV06NAhF154YZJk+vTpOe+885rVX6BhiyPWTJkypfJGtM033zy77757veVOO+20yvSjjz66wPwyYk01XnrppYwePTpJssMOO2SNNdZoch3A0qml4gywdJKUCbCMuummmyrTdSd6n9WmTZsccsghSeYmF9x3331NbueCCy5IknTt2jVHH3100zua5PHHH0+SrLvuullvvfUaLPe1r30tydzXlN9yyy0LzJ85c2Zlep111mmwni9+8Yv1LgMs3ea92J0+ffoC88uKNXfffXdeeeWVJMmJJ57Y7B8ggHIMHDiwMt3U1+XV+fjjj3PPPfckmZtksPrqq9dbbp999kmXLl2SJDfeeOMC88uKM5911FFH5ZNPPsmQIUOy/fbbN1oeKF8ZsaYaV155ZZK5D7TVXavNa9q0aZUfJ7feeut07dq1wbrqYs3777/f7ASvdu3aVV59Xt/5FVCuumuaMr5vb731Vk499dQkTUuQWFznM0DLW5KvI8q4j1sXr5Lk61//eoN1rLfeepV6/va3vzW5r8DCLY5YU9ZvPS31m1HddVzi1eXweeO3aWBhJGUCLKMeeuihJHNHT+nfv3+D5ea9SH744Yeb1MbMmTNz8803J0kGDRpU+bFuzpw5GTt2bN58882qfkj48MMPk6TRkRPmnf/Pf/5zgfl1I0okyeuvv95gPXU/otbU1Cz0BwZg6TJixIjK9AYbbLDA/LJizXXXXZdkbgypG3k3SSZOnJhXXnmlqlHvgPLUjSiXVDcKVX0ee+yxys2whf2A0KFDh2y11VaVZT47ynhZcWZef/3rX3PbbbdlpZVWqozmCbS8MmJNY1577bXKCAvbbbdd1lprrQXKzHueUWasacg999yTCRMmJKn//Aooz0svvZSnn346STnftyOPPDKffvppDj744Oywww5VL7c4zmeAlrekX0c09T7uZ5dJ/i9eJdXHrDfffDNvv/12k/oKNGxxxZoePXpkpZVWStL8GPHZvy1KPQtTFEX+/Oc/J5n7e9y+++7bpOWBpVtLxBlg6SUpE2AZVfda7nXXXXeho7jNe6O/qa/yfuaZZypJlxtvvHGmTJmSY489Nj169Mgaa6yRtddeO127ds2gQYNy//33N1hP3evwPvroo4W2N+/8559/foH5BxxwQGX0qmHDhtX7ir6nnnoqt99+e5LkwAMPrJQHlj61tbUZP3587r333gwePLhy82uDDTbIrrvuukD5smLNqFGjkiRrrbVWVlxxxVxzzTXZeOONs/LKK6dv375ZeeWVs/766+d3v/vdfAkcwOLxwAMPVKY33HDDZtUx73e9sSSIuvmzZ8+ujJpbp6w4U2fy5Mk55phjksw9t+nRo8dC6wUWnzJiTWOqGV2lLs4k5cWaz/r444/z/PPPZ+jQoRk8eHDl73XxCCjP1KlT88orr+S///u/s/3222f27NlJ5r72blGMGDEid9xxR7p3756zzz67ScuWfT4DtLyl4Tpi1113zdprr50kOe+88/Lpp58uUOadd97J8OHDkyTbbrttNtpoo/nmt8R5EdCwxR1rjjjiiCTJk08+mbvuuqveMqeffnqSuSP8H3744QvMLyPWNOb++++vJHvvs88+88UmYNFdd911+dKXvpROnTplxRVXzHrrrZchQ4Y06+2PC7PLLrukZ8+e6dChQ3r27JkddtghZ555ZiZNmrTQ5RZHnPnZz36WNddcM8stt1y6d++ezTbbLD/+8Y/z8ssvN2/lgFYjKRNgGTR9+vTKaCYNvX6zTvfu3dO5c+ckydixY5vUzrw3sGpra7PFFlvkvPPOy+TJkyt/nzlzZkaOHJkdd9wxw4YNq7eeuh81X3jhhXzwwQcNtjfvyAv1PdHco0ePXHXVVenUqVMefvjhDBgwIFdeeWVGjRqVkSNH5pe//GW23377zJw5M5tvvnmTf5gAlgxrrbVWampq0rZt2/Tq1Ss77bRTbrrppiRzXw9xww031JuMXkasqa2tzYsvvphkbsw55phj8p3vfCfPPffcfOVefvnl/OQnP8mOO+44X0wEylVbW5szzzyz8v9vfetbzarnnXfeqUw3du7Up0+fyvRnz53KOqep89Of/jTjxo3LNttsk+9973sL7Rew+JQVaxZm3tFVll9++Xzzm9+st1zXrl2z2mqrJZn7oMjCXnlVbaxJkqFDh6ampiY1NTXp0qVLvvzlL+eXv/xlPv7447Rt2zYXXHBBtt1226auFlCP4cOHV75vnTt3Tt++fXP88cdn/PjxSZKTTjopBx54YLPrnzRpUiWp88wzz8wqq6zSpOXLPp8BWt7ScB3RoUOHXHPNNenRo0dee+21bLrppvnjH/+Yhx9+OPfff3/OPvvs9O/fP5MmTco666yTyy67bIE65n1QZt4HaD7r/fffr9zLScQsKMvijjWnnHJK5cH7b3zjGznhhBNy55135rHHHsu1116bHXbYIddff33leqW+h2zLiDWNmffhukMOOaT5KwzU6/nnn88LL7yQadOm5ZNPPsmrr76aK6+8MjvuuGMGDx7c6IMZ1frHP/6RDz74ILNmzcoHH3yQBx54ICeffHLWWWedylsj67M44swjjzySt99+OzNnzszkyZPz9NNP59xzz82GG26YoUOHpiiKUtYZWPwkZQIsgz7++OPKdDVP5dUlZX7yySdNamfeV+cNGzYsr7zySr72ta9l9OjRmT59et5///1cdNFF6dq1a4qiyEknnVTvietee+2VZO5rz3/+85/X29Yrr7ySyy+/vPL/edfxs3U98cQTOfzww/P0009nyJAh2XrrrTNo0KAMHTo0nTp1yrnnnpsHH3yw0dfaAEuPdu3a5de//nWefvrpBkevKiPWfPTRR6mtrU2SjBkzJv/zP/+T1VZbLX/+858zceLETJ06NQ888EDl9caPPPJIvvvd7y7y+gH1O+ecczJ69Ogkc0cj6N+/f7Pqacq5U915U7LguVOZ5zQPPvhgLrnkkrRr1y5/+MMfUlNTs/CVABabsmLNwjz00EOV11wNHjw4K664YoNl62LNhAkTGnzQ7KGHHqq8ISBpONY0Zqeddspzzz2Xo446qlnLA9Xr169fRo8enTPOOGORjvs/+clPMn78+Gy99db5/ve/3+TlyzyfAVre0nQdsdVWW+Wpp57KCSeckLfffjtHHHFEtt122wwcODAnnHBCpk6dmtNPPz2PPfZY1ltvvQWW33bbbdO9e/ckyeWXX77Amwzq/OIXv5jvjUpiFiy6log1nTt3zm233ZZLL700q6++es4+++zstttu2XLLLfPtb387DzzwQPbZZ588+uij+cEPftBgPYsaaxZm6tSp+dvf/pZk7kO+O+644yKtM/B/OnXqlG9/+9v505/+lAcffDBPPfVU7r777vzsZz/LyiuvnCS56aabsvfee2fWrFnNbmfjjTfOL37xi9x666154oknMmrUqFxxxRXZZZddkswdFXjffffNnXfe2WAdZcWZ1VZbLUcddVT+8pe/5H//93/zxBNP5MYbb8z3vve9tG/fPrW1tfnlL3+Zn/3sZ81eX6CFFQAsc95+++0iSZGkOPjggxst36dPnyJJ8cUvfrFJ7Zx++umVdpIUgwYNKmbPnr1AuQcffLBo06ZNkaTYcMMNi9ra2vnmT548ufjCF75Qqeeggw4qnnnmmWLGjBnFhAkTiiuvvLLo1atXUVNTU7Rv375IUrRt27bePs2YMaM4+eSTi1VWWWW+vs37b4sttihuvvnmJq0rUJ033nij8l0bMmTIYmnjpZdeKsaMGVM888wzxb333lucfvrpRe/evYsOHToUBx98cPHxxx/Xu1wZsWbs2LHzxZNOnToVL7744gJtTZ06tdh0000r5UaNGrVYtgV8nt1///1Fu3btiiRFz549i/Hjxze7ru9+97uV7+trr7220LKXXnpppexVV10137yyzmlmzJhRbLDBBkWS4ic/+ckC80877bRKG/fdd1+z1xtoXJmxZmG+//3vV77Xd91110LLvv7668WKK65YJClqamqKY489tnj55ZeLmTNnFv/+97+LCy64oFhxxRWLDh06VOps7Fpv/PjxxZgxY4oxY8YUo0aNKi6//PJi4MCBRZJik002cS4DJZo0aVLl+zZ69OjiL3/5SzF48ODKd/XWW29tdt0PPPBAUVNTU7Rr16545plnFpi/5pprFkmKNddcs8E6yrxH81ktcb0In2eteR0xZMiQSt1vvPFGVcvU1tYWZ511VrHGGms0eB93gw02KC699NIG6/jd735XKbvaaqsVV155ZTFhwoRixowZxTPPPFN85zvfKZLMd150+umnl7TW8PnUkrHm4YcfLgYOHFjU1NTUGyNWXHHF4gc/+EExefLkBusoI9Y05Oqrr67UcdJJJy3KqgKfMWnSpAbnjRs3rthss80q37/zzjuv9DaKoij+8Ic/VNro3bt3MW3atHrLlRFnPvnkk2LmzJkNzv/f//3fomvXrpV7QU8//XRV6wi0LkmZAMug999/v3KSt//++zdavmfPnkWSYqONNmpSO2edddZ8J5RPPvlkg2X322+/Srn6fhh4/PHHK/1o6N8ZZ5xRSbbs1q3bAnV88sknxXbbbVf5QeCnP/1p8cILLxQzZswoPvroo+Luu+8utt1228oJ69lnn92k9QUa11o/sk2cOLEYMGBAJXGgocTMRY01H3zwwXxlf/SjHzXYp9tuu61S7sc//nGp6wufd88991zRvXv3IknRsWPH4oEHHlik+o488sjK9/WFF15YaNnf//73lbLXX3/9AvPLOKep+wFjjTXWKD755JMG50vKhMWr7FjTkGnTphXdunWr3OSv70G3z7rjjjuKFVZYocE407Zt2+Liiy+u/L9fv37N6tuvf/3ryvr//e9/b1YdQHWuvPLKoqampmjTpk1x+eWXN3n56dOnF+uvv36RpDj++OPrLVNNUmZRlHM+Ux9JmbB4teZ1RFOTMufMmVN885vfrCzzve99r3jyySeLadOmFZ988knx0EMPFXvttVdl/jHHHFNvPbW1tcXhhx++0Hi19tprFz//+c8r/z/33HNLXXf4vGmpWHPdddcVyy23XOV+74033lh8+OGHxcyZM4vXXnut+O1vf1ssv/zyRTJ3MJB33313gTrKijUN2XXXXau+nwSU67XXXqs8JLbuuusutna+973vVb7nf/7znxeYv7jjzLyuuuqqSj2HH374IqwV0FIkZQIsg6ZNm1Y5Kdt9990bLd+5c+ciSbHVVls1qZ15nxBaZZVVFlr2T3/6U6XsJZdcUm+Z9957rzj66KOLVVdddb4bZwMGDChuu+22oiiKomPHjpWbaZ91wgknVJYZPnx4vW3MmjWrMuJLmzZtPEkEJWvNH9mef/75Stsnn3xyg+UWJdZMnz59vmXqytdn2rRplZG1tt1223JWEihef/31onfv3pWko5tuummR6zzxxBMr3+vHHntsoWXnfSilodHsFiXOvPDCC5VRXBoa2VtSJix+iyPWNOTaa6+tfKfrG2mmIS+//HJxyCGHVBI6k7kPnw0cOLB45JFHinHjxlX+PnDgwGb3b8stt6z86Dpr1qxm1wM07lvf+laRpOjcuXPx4YcfNmnZX/ziF0WSok+fPvUmSBRF9UmZRbHo92jqIykTFp/Wvo5oalLmBRdcUCk/dOjQBssdfPDBlXK33HJLg+Wuu+664qtf/WrRtm3bSvmuXbsWRx11VDFp0qTizDPPrPz9iiuuaM4qAkXLxZpx48ZVfrf68pe/3OC5zciRIyujaO6zzz4LzC871szrvffeq8ScAQMGVLdiQKl22223yne3vsTsMowePbrSxve///0F5i/OOPNZs2bNKrp06VIkKdZbb71m1QG0rHYBYJnTsWPHrLzyyvnwww/zzjvvLLTspEmT8umnnyZJ+vTp06R25i2/+uqrV132gw8+qLfMaqutlvPPPz/nn39+xo0blylTpmTVVVdN165dkyTvvPNOpk+fniT58pe/PN+yRVHksssuS5L07ds3Q4YMqbeNdu3a5fTTT8+2226b2traDB8+POecc04jawosDTbccMOst956eeWVV3L99dfnt7/9bb3lFiXWLLfccllllVUqcWxhcbNjx47p0aNHxo0b12DcA5rmvffey84775z33nsvNTU1ueyyy7L33nsvcr3znse888472WKLLRosO3bs2Mp0QzFgUeLMOeeck5kzZ2adddbJ1KlTM2LEiAXqf+655yrT9957b8aNG5ck2XPPPdO5c+fGVhdoxOKKNQ258sorK9OHHHJI1cutt956ueKKK1JbW5t///vfmTp1anr37l2JAw899FCl7GdjTVPsvffeGT16dN5+++2MHj06X/3qV5tdF7Bwe++9d/7617/m008/zV133ZUDDzyw6mWHDRuWJNl5551z66231lum7v7Pp59+WjnH6NmzZ3bccccFyi7K+QzQ8pa264hLLrkkSbLiiivmpJNOarDcb3/721x11VVJkssuuyx77rlnveX222+/7Lfffpk6dWrGjRuXdu3a5Qtf+ELatm2bJHnllVcqZcUsaL6WijUjRoyonLeccsopDS630047ZaeddsrIkSNz0003ZdKkSenevXtlftmxZl5XX3115syZk6Rp13FAeb70pS/ljjvuSJK8++676d2792Jpo8677767wPzFGWc+q127dunbt28ef/zxevsCLHkkZQIso770pS/lwQcfzKuvvprZs2enXbv6Q/6LL75Ymd5www2b1Ma8N7DqLj4bMu/8hvoyr169eqVXr17z/e2JJ56oTG+55ZbzzRs/fnwmTpyYJNlss80WWnf//v0r0/OuP7D0W2WVVfLKK6/krbfeqqp8U2NNMjf23X///Umqj33VxD1g4SZMmJBBgwbl9ddfT5Kcf/75pd30nvfmWmPnBnXz27Vrl/XWW6/RupsaZ2bMmJEkef3113PAAQc0Wv/pp59emX7jjTckZcIiWpyxpj7vv/9+/v73vydJNt9882y00UZNrqNNmzb5whe+sMDfGzunqdYqq6xSmX7rrbckZcJi9NnvW1PMnDkzSXL55Zfn8ssvX2jZCRMmVM4ztt9++3qTMufVnOsmoGUtbdcRL7zwQpK512LLLbdcg+VWX331rLrqqhk/fnxV93E7deqUddZZZ4G/18Wsjh07ZpNNNmlmr4GWijV1MSKZe520MP3798/IkSNTW1ubl19+OV/5ylcWqKfsWJOkklzVoUOHqrYFUL6amppWb2Nxxpnm9AdYsrRp7Q4AsHhsu+22SeaOfjDvjfLPeuCBByrT22yzTZPaWHPNNbPGGmskSd58880URdFg2ddee60yXd8PhtW47rrrKtP777//fPPmTXiaPXv2QuuZNWtWvcsBS7+6pwNXWGGFZtexsFiTJP/v//2/ynRdwkZ9pkyZkgkTJiRpftwD5vroo4+y66675vnnn0+SnHnmmTnqqKNKq3/AgAHp0KFDkvnPjT5r5syZGTVqVGWZ9u3bN6u9xuIM0DoWd6ypzzXXXFO5fik7+bMu1iy//PLNGoGhzryjLyzKORbQuKXp++Z8BlgUdfdkG7uPm/zfvdzm3sd99dVX8/TTTydJBg8e3OzrOKDllPV7z+KKNU8//XSeffbZJMluu+2WlVdeudFlgPLV3b9JslhGyaymjZY8p5k9e3ZefvnlBvsCLHkkZQIso77xjW9UphsaIaG2trbyqrxu3bpl4MCBTW5n3333TTI3+eiee+5psNwNN9xQma5LGG2K559/Ptdee22Sua/i6tu373zzV1pppXTp0iVJ8uijjy705HfeZIu11167yX0BlkyPPfZYZTSZjTfeuFl1NBZrkv+Le0l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\n", 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" ] }, "metadata": { @@ -214,121 +302,350 @@ } ], "source": [ - "mu=.5\n", - "qaoaSwe=QAOASwe(CR, FR)\n", - "\n", - "E, x0, job, ji = qaoaSwe.getElandscape(backend,mu)\n", - "\n", - "_=getfig(E)\n", + "qaoa=QAOASwe(CR, FR)\n", "\n", - "pl.plot(x0[0],x0[1],'ro')\n", + "for mu in [0.1,0.2,1,10]:\n", + " print(\"mu=\",mu)\n", + " if mu>1:\n", + " m=40*5\n", + " else:\n", + " m=40\n", + " E, x0, job, ji = qaoa.getElandscape(backend,mu,ng=m)\n", "\n", - "_=plot_histogram(job.result().get_counts()[int(ji)])" + " # plot landscape\n", + " _=getfig(E,ng=m)\n", + " pl.plot(x0[0],x0[1],'ro')\n", + " \n", + " # plot histogram\n", + " md=job.result().get_counts()[int(ji)]\n", + " pl.figure()\n", + " pl.bar([k[::-1] for k in md.keys()], md.values())\n", + " pl.ylim([0,1])" ] }, { "cell_type": "code", - "execution_count": 11, - "id": "17bb029b", - "metadata": {}, + "execution_count": 79, + "id": "6661468c", + "metadata": { + "scrolled": false + }, "outputs": [ { - "ename": "NameError", - "evalue": "name 'createCircuitSwe' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mqc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcreateCircuitSwe\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx0\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mflatten\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mFR\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mCR\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdepth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mjob\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mexecute\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mqc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbackend\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0m_\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mplot_histogram\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mjob\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_counts\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'createCircuitSwe' is not defined" + "name": "stdout", + "output_type": "stream", + "text": [ + "mu= 0.1 useExco= True\n", + "mu= 0.2 useExco= True\n", + "mu= 1 useExco= True\n", + "mu= 10 useExco= True\n", + "mu= 0.1 useExco= False\n", + "mu= 0.2 useExco= False\n", + "mu= 1 useExco= False\n", + "mu= 10 useExco= False\n" ] 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dlMvluP/+++Oiiy6K559/Pq6++uro6OiIn//851t0vOOOOy5uvvnmiIgYP358fOUrX4ltt902HnvssTj33HNj7ty5cdZZZ8U222wTn/nMZ9a5ferzzN//vzjjjDOiVCrFgAEDYtGiRVu0VuBv3qpzzZgxY+Kxxx7b6HYnnHBC3HXXXRERMXXq1HWuT3Wuqaqqil122SX23nvv2HXXXWObbbaJrbfeOpYvXx5z586NK664Iu6777547LHHYv/9949HH300GhsbN2vtwF+fL40fPz5Gjx4dQ4YMiW222SY6OztjwYIFcd1118UNN9wQixYtikMOOSTmzJkTO++8c5Lj/td//Vdcf/31MWjQoHj55Zc3un2qc0ylUum6XFVV1fXpLQ888ECSdQE909nZGccff3x0dHT0+DywMWt+fTc0NMSuu+4ar7zySsydO3eT9jNp0qSud50aNmxYnHLKKbHTTjtFe3t7PPTQQ3HBBRfEokWL4tprr40BAwbED3/4w3X2cffdd8fhhx8e7e3tUV9fHyeeeGJMnDgx+vTpE0899VTMmDEjHnroofi3f/u36N+/f3z961/forUD6/dmnGt++ctfxsknnxwREXV1dfGlL30pPvrRj8bAgQNj7ty5cckll8Q999wT8+bNi4997GPx5JNPRr9+/dbZT4pzTU+ex1111VUxffr0iFj/8zhg83zhC1+IL37xixu8vqmpKclxNvZ1PmzYsA1el+I8s6b//M//jDFjxmzw+kGDBnV7e+BtJHcVCsCb543fyqmpqancd99961x/4YUXdv1WzTnnnLPZx5ky5f+3d+fhds33/sDfJzMZJKLRpIlERFDU7BpLKEpoEarqmlq32ipVVIurtC7l4ip6UTXEHEWKUNpfTI2pQQmpmOeQpCFEkPGs3x95su+JnGGfZJ2TkNfrefI8K2d913dYe6/Pd+21P3utAyvtjBgxosFytbW1xZw5cxb5+9lnn13px6GHHlrU1tYuUuaKK66olDn33HPrrf/HP/5xpczPfvazestccMEFlTJ77LFHlSMEGvLLX/6yGDVqVOUOKa+++mrlGCvzTpn1xY66Pv7442LLLbestP30008vUqasWFMURXH55ZdXyh199NHFvHnzGixbxt37YHk1dOjQ4sYbbyzmzp1b7/p//etfxeDBgyvH49/+9rfFbqvu3Zz22GOPRdr817/+Vay22mpFkqJHjx7FtGnTFqmjzDjzaXvuuWeRpPjud79bbLfddpU6gCXXmrGmKdOmTSs6duxYJCkGDRpUb5myYk1T51dFURQ/+clPKvVccMEFzRsMUNFQfKnrT3/6U+V423vvvUtp98MPPyz69etXJCmuvvrqqu4mU1aMeeGFF4qzzz67uP/++4sPP/ywKIqiuPLKKyvbuVMmtI7zzjuvSFKsvfbaxQknnFDV3Z6acvfddxeXXHJJ8cQTT1TOJw4++OBK3dXcKfPxxx+vlB84cGAxffr0Rcq8/vrrRffu3Ytk/t0up0yZstD62traYv311y+SFG3bti1Gjx69SB2zZs0qdtpppyJJscIKKxRvvfXW4g0aaFRLxJr11luvUs8dd9xRb5m999670XOSMmJNtTbffPMiSVFTU1O8/vrri1UH8H8WHLsteVfIunfKXFxlxZm6d8pc0rsMA8sO3+AAfE6NHTu2cvJ2+OGH11tm3rx5xTrrrFNJLpg9e3az2xkzZkylnVNPPXWx+rrgw3Xnzp2L999/v8FyCx5fvOqqq9abALXRRhtVPvR+8MEH9dZRW1tbrLzyykWSomfPnovVX6BhLZWUWY0RI0ZU2v7d7363yPqyYs306dOLHj16FEmK7bffvtQxAM03atSoyrF/1FFHLXY9u+22W+XLvDfffLPeMjfccEOlrXPOOWeR9WXFmU+75ZZbimT+I02nTp0qKROWgrJiTVMuueSSJn8411Kxpj6TJk2q9GefffZZrDqA6q299tqVOb8MRx55ZJGkGDJkSFEU//fFZmNJmS0ZYyRlQut64403ii5dulS+3K+beFD2l/3NTco8//zzq/rhx09/+tNKuVGjRi20rm4SxAEHHNBgHS+88EKl3HHHHVf1mIDqtESs+eCDDyp1bLzxxg2WGzduXKXcsGHDFllfRqypxnPPPVfZfsF5F7BkPitJmWXFGUmZ8PnUJgB8Lt16662V5UMPPbTeMm3atMlBBx2UJJk2bVrl1urN8bvf/S5J0qVLlxx77LHN3v6TTz7J+PHjkyRbbrllvY+XWODrX/96kmTy5MkZM2bMIutnz56dJOnZs2e6detWbx01NTUZOHBgkmTWrFnN7i+w7Kr7mIqZM2cutK7MWHPddddl2rRpSZJTTz11SbsNLKHtt9++stzcx+UtMGPGjNxzzz1Jkp122il9+/att9zee+9dOccYOXLkQuvKjDN1TZ8+PUcddVSS5Oyzz07Pnj2rGBFQtjJiTTWuvvrqJPM/txx44IGLrG+pWNOQxs6vgPItOObKON7Gjh2b//3f/02HDh1y8cUXV7VNa8cYoGX96Ec/yowZM3LwwQcvdC6zLFhwHTdJ5VptfdZYY43K8qev5T722GOV5V133bXBOtZcc81KPTfffHOz+wo0riViTRkxosx6mrLgc1zi0eWwvGmtOAN8NknKBPicWnBBvHPnztlkk00aLLfddttVlh988MFmtTF79uzcdtttSeZf+OrSpUuSZO7cuXn99dfzxhtvLHQyWp8FiU1JsuqqqzZatu76Bx54YJH1gwcPTpK8++67mT59eoP1vPLKKwuVBz4fbrjhhsry2muvvdC6MmPNTTfdlCTp1atXJYYWRZFJkybl5ZdfzowZM5rfeWCx1T3XaNNm8T7ijh07tnIxrO650ad16NAhW2yxRWWbOXPmVNaVGWfq+sUvfpGJEyfmq1/9ag455JBGywItp4xY05SXX345Dz/8cJJk2223zeqrr75ImZaKNQ1p7PwKKNeECRPy1FNPJVny423u3Ln5/ve/n9ra2vz85z/PWmutVdV2rR1jgJbzxz/+MXfccUdWXnnlnH322Uu7O4uoe112wbXa+tT9Mcynr+W+9957leVqY9Zrr72WN954o1l9BRrWUrFmlVVWycorr5xk8WPEp/+2JPU0piiKXHfddUnmfx83bNiwZm0PfLa1RpwBPrskZQJ8Tk2YMCFJMmjQoLRr167BcnUv9C/Yplrjxo2r3L1hyy23zKRJk3LooYeme/fuGTBgQPr375+VVlopu+22W+XLxU+re+eVDz74oNH26q5/9tlnF1l/+OGHJ5n/IfiMM86ot47//d//rVywW1Ae+Gyqra3N5MmTc++992avvfbK9ddfnyRZa621sssuuyxUtqxYU1tbW7kTwxZbbJHZs2fnV7/6Vb70pS+ld+/eGTRoULp165ZNN90011xzTYqiWKIxAk2rmwSwuAkMdc+Bmqpjwfq5c+fmxRdfrPy9zHOaBR555JH8/ve/T/v27au+wxXQMsqINU2p5u4qLRFrPm3atGl58sknc8wxx+SII45IMj8p/Qc/+EHVdQDV+fjjj/Piiy/mf/7nfzJkyJDMmzcvSfKTn/xkieo955xzMm7cuKyxxho58cQTq96uNWIM0PLef//9Shw566yz8oUvfGEp92hRu+yySwYMGJAkOf/88/PRRx8tUuatt97K8OHDk8y/9rz++usvtF7MgqWrpWPN97///STJP/7xj9x11131ljnttNOSJG3bts1hhx22yPoyYk1T7r///rz++utJ5j9hZcHNS4By3HTTTVlrrbWywgorpGvXrllzzTVz8MEH57777iu1nZ122ik9e/ZMhw4d0qtXr2y//fY588wzF/rhWn1aIs6ceOKJ6du3bzp06JAePXpko402yk9/+tO88MILizU2YOmRlAnwOTRz5sxMnTo1SRp8/OYCPXr0qFzAevPNN5vVTt0LWDNnzsz666+f4cOHL3TCOXPmzNx1113Zdttt89vf/naROlZaaaX07t07SfLoo482emfNv/3tb5Xl+n7RvMsuu+TnP/95kvkXAYYNG5aRI0fm8ccfz6hRo/K9732v8vjPAw44IN/73veaNV5g2TBgwIDU1NSkbdu2+eIXv5gdd9wxt956a5Kkf//+ueWWWxZJRi8r1rz55pv58MMPk8y/U+ZXv/rVnHrqqXnnnXcqZYqiyBNPPJGDDjoo3/72tzN37twlGi/QsNra2px55pmV/3/rW99arHrqngM1de7Ur1+/ercr85wmSebMmVO5w9Vxxx2XL3/5y40PAmgxZcWaplx77bVJkhVWWCH77LNPvWXKjjULHHLIIampqUlNTU1WXnnlbLzxxjnvvPMyZ86crLDCCrn22msXetQWsPiGDx9eOd46d+6cwYMH59hjj83kyZOTJMcdd1wOOOCAxa7/lVdeya9//eskyUUXXZROnTpVvW1LxRigdR1//PGZNGlSttpqq2X2+mfHjh1z3XXXZeWVV87LL7+cDTbYIL///e/z0EMP5f7778+5556bTTbZJNOmTcuAAQNy5ZVXLlLHOuusU1lu7I69U6ZMyXPPPVf5v5gF5WjpWHPSSSfla1/7WpJkr732ynHHHZe77rorjz32WG688cZsv/32ufnmm9O2bdtccMEFC8WEBcqINU2p++O6gw46aPEHDNTr2WefzQsvvJCZM2dmxowZeemll3L11Vdnhx12yF577dXkDzOqNXr06Lz33nuZM2dO/vWvf+WBBx7ICSeckIEDB1aeGlmflogzjzzySCZOnJg5c+bk/fffz1NPPZXf/va3WWeddXLqqae6GQh8hkjKBPgcWpAwlKSqX+UtSMps7iN36z4i5le/+lWmTp2a3XffPY8//nhmzpyZyZMn56KLLkq3bt1SW1ubY445pt5fNH7zm99MkkydOjXnnntuvW09+OCDufPOOyv/rzvGus4888z85S9/yfbbb5+RI0dm2LBh2WyzzfKNb3wjV1xxRTbYYIPceOONufbaa9O2bdtmjRdYdrVr1y6//vWv8/TTT2fdddett0wZsaZu3Lvmmmvy97//Peuss07uuOOOfPjhh/nwww8zatSoyuMB//jHP+Y///M/l2hsQMPOO++8jB07Nsn8C/SbbrrpYtXTnHOnundj+fS5U5nnNGeddVbGjx+f1VdfPSeffHLjAwBaVFmxpjFjxoypPOZqr732Srdu3RosW2asacp+++2XCRMmZN99912s7YHqbbjhhnn00Udz9tlnp6amZrHrOfzww/PJJ59kv/32y84779zs7VszxgDle/DBB3PZZZelXbt2ueSSS5YonrS0rbbaKk8++WSOPfbYvPHGG/nBD36QbbbZJkOGDMlxxx2Xjz/+OL/61a/y2GOPVa6z1LXttttWHm985ZVXLvQkg7pOPvnkyp2IEzELytAasaZLly6566678oc//CF9+/bNueeem9122y2bb755vv3tb+eBBx7I3nvvnYceeig/+tGPGqxnSWNNYz7++OPccsstSeb/yHeHHXZYojED/2fFFVfMt7/97fzhD3/ImDFj8uSTT+avf/1rTjrppPTs2TNJcuutt+ab3/xm5syZs9jtrL/++jn55JMzatSoPPHEE3n00Udz1VVXVT5Lvf/++xk2bFiDd+xNyoszvXv3zhFHHJEbbrghf//73/PEE0/kT3/6U7773e+mffv2qa2tza9+9aucdNJJiz1eoJUVAHzuvPHGG0WSIklx4IEHNlm+X79+RZJijTXWaFY7p512WqWdJMUee+xRzJs3b5FyY8aMKdq0aVMkKdZbb72itrZ2ofWvvfZa0a1btyJJUVNTUxx99NHFCy+8UMyePbt45513it/97ndF165di5qamqJdu3aN9vXtt98uDjjggKJTp04L9W3Bv3bt2hXf+MY3igkTJjRrrEB1Xn311crxdvDBB7dIG88//3zxzDPPFOPGjSvuvffe4rTTTiv69OlTdOjQoTjwwAOLDz/8sN7tyog1Y8aMWSim9OvXr3j33XcXaetf//pX0adPnyJJ0aFDh+Ktt95qkX0By7P777+/cqz26tWrmDRp0mLX9d3vfrdyXL/88suNlr388ssrZa+55pqF1pV1TvPCCy9UzmXuvPPORdZvt912lT4ALavMWNOY//iP/6gc13fffXejZcv8/LTAW2+9VTzzzDPFM888Uzz00EPFxRdfXGy88cZFkmKbbbYpXnjhhTKHC8u1adOmVY63sWPHFjfccEOx1157VY7VUaNGLXbdV111VZGk6NatW/H2228vsn5BnNluu+0arKMlYswCV155ZaUPV1555WKOEmjIrFmzinXWWadIUvzsZz9bZP0pp5xSOQbvu+++Uts++OCDK3W/+uqrVW1TW1tbnHvuuUX//v3rvY6bpFhnnXWK4cOHN1jH//zP/1TK9u7du7j66quLqVOnFrNmzSrGjRtXHHDAAZVrMwvKnXbaaSWNGpZPrRlrHnnkkWKHHXYoampq6o0R3bp1K374wx8WH3zwQYN1lBFrGnLddddV6vjFL36xJEMFPmXatGkNrps0aVKx0UYbVY6/888/v/Q2iqIoLrnkkkobffr0KT7++ON6y5URZ2bMmFHMnj27wfV///vfi5VWWqnyOe3JJ5+sZojAUuYbHIDPoSlTplRO8vbbb78my/fq1auSMNkcZ5999kInlM8991yDZffZZ59KuaeffnqR9X/5y1+Krl27NniymqQ466yzii5duhRJig033HCROp599tmib9++RZKiZ8+exUUXXVS8+eabxezZs4tJkyYVV199dbHaaqsVSYru3bsXf/vb35o1XqBprZGUWZ/33nuv2GyzzYokxVe+8pVi+vTp9ZZb0ljz2GOPLVT2kksuabBPv/vd7yrlLrjgglLHC8u78ePHFz169CiSFB07dizuv//+JarvRz/6UeV4beqHGxdddFGl7M0337zI+jLOaYYMGVIkKYYNG1ZvHyRlQusoO9Y0ZObMmUX37t0rF/nnzp3b5DZlxJqmzJ07tzj88MOLJEWPHj2Kp556anGGB1Tp6quvLmpqaoo2bdosVsLiv/71r2KVVVYpkhQXXnhhvWWqScosipaLMZIyoWUtSIRabbXVihkzZjS4fllIypw3b16x7777Vrb53ve+V/zjH/8oPvnkk2LGjBnFgw8+WHzjG9+orD/mmGMarOsHP/hBo/GqZ8+eC91c4Le//W2JI4flT2vFmptuuqno2LFj5Xrvn/70p+Ldd98tZs+eXbz88svFGWecUaywwgpFkmLdddct3nnnnUXqKDPW1GeXXXapbPvss88u9liB5nv55ZcrP7oYNGhQi7Vz2GGHVY7za6+9dpH1LR1n6rr22msr9Rx22GFLMiyglXh8OcDnUNeuXSvL1TyS/KOPPkpS3aPOG2pn9dVXb/SW67vssktl+bHHHltk/c4775ynnnoq3/ve9yq3nV9giy22yJ///OccccQRlfH06NFjkToOPPDAvPXWW1lxxRUzZsyY/PCHP0zfvn3Tvn37rLrqqjnwwAPzyCOPZNVVV83777+f/fffP7NmzWrWmIFlU48ePXLVVVclSZ5++un85je/qbfcksaaunEvSXbdddcG+9RU3AMWz6uvvpqdd94506ZNS9u2bXPDDTdku+22W6I6m3PutOC8Kan/3GlJ48wVV1yR++67L127ds3555/f7LEA5WiJWNOQ2267Le+//36S5IADDkjbtm2b3KaMz09Nadu2bS644IL069cv06ZNyw9/+MNm1wFU78ADD8y+++6b2tra/PjHP860adOatf0xxxyTqVOnZtNNN230EZ7VaI0YA5Trueeeq1wLufDCC9O5c+el3KPGXXTRRbnpppuSJKeeemouu+yybLTRRunUqVM6d+6crbfeOrfddlsOPPDAJMn//M//5M4776y3rosvvji33nprvvrVr6Zdu3aVv6+44oo56KCD8swzz6R79+6Vv4tZsPhaK9ZMnjw5hxxySGbNmpV11103Dz/8cPbcc8+svPLKad++fQYOHJgTTjgho0aNSk1NTf75z3/myCOPXKSeMmPNp73zzjsZPXp0kmSzzTbLOuusU9LogWoMHDgwO+20U5LkpZdeyttvv90i7Rx++OGV5QceeGCR9S0ZZz5tv/32y0orrdRgX4BlT7umiwDwWdOpU6esssoqmTp1at56661Gy06bNq2SXNCvX79mtVO3fN++fasuO2XKlHrLDBw4MJdddln+8Ic/ZNKkSfnwww/zxS9+Md26dUuSPPzww5WyX/7ylxfadty4cXniiSeSzP8is6EPwH369MmRRx6Z//zP/8zEiRNz991355vf/GajfQc+G9ZZZ52sueaaefHFF3PzzTfnjDPOqLfcksSavn37pqamJkVRJEm+9KUvNdifauIe0Dxvv/12vva1r+Xtt99OTU1Nrrjiiuy1115LXG/d85i33norm266aYNl33zzzcpyQ+dOSxJnzjrrrCTJdtttlzFjxtRbf92YMmLEiCRJ586ds8ceezTYb6B6LRVrGnL11VdXlg866KCqt1uSWFOtDh065Otf/3r+8Ic/5JFHHsnbb7+dPn36LFZdQNO++c1v5o9//GM++uij3HXXXfnOd75T1XZvv/12rrnmmiTJDjvskD/+8Y+Nlp8yZUrlHGL11VfPv/3bvy1SpjViDFCe8847L7Nnz87AgQPz8ccfV47xusaPH19ZvvfeezNp0qQkyR577NHqSZyXX355kvk/kPvFL37RYLkzzjijEt8uu+yyDB06tN5y3/zmN/PNb34zn3zySSZNmpQ2bdqkT58+ad++fZL5P+BdQMyCxddasWbEiBGV761OPPHEBrfbcccds+OOO2b06NEZOXJkpk2btlDiddmxpq7rrrsu8+bNS9K8z3FAeb785S9XEhwnTpzYItcr6p43TJw4cZH1LRlnPq1du3YZPHhwHnvssXr7Aix7JGUCfE6ts846GTNmTF566aXMnTt3oV8J1/Xcc88ttE1zrLvuupXlBR8+G1J3fUN9WaCmpia9e/dO7969F/r7gw8+WFn+9BcGEyZMqCxvvPHGjda/ySabVJafe+45SZnwOfKFL3whL774Yl5//fUmyy5OrOncuXP69++f1157LUlSW1vb4N2smhP3gKZNnTo1O+20U1555ZUk8+/IUNZF77oX1+qeG9Vnwfp27dpl0KBBjZZdnDiz4C7ed9xxR+64444m+77//vsnSfr37y8pE0rQkrGmPlOmTMlf/vKXJPM/x6y33nrNrmNxYk1zfOELX6gsv/7665IyoQV9+nir1uzZsyvL//3f/91k+QkTJlTOIQ4++OBGY0RLxxigHAs+R7zyyiuV47sxp512WmX51VdfbfWkzAXXcr/85S+nY8eODZbr27dvVl111UyePLnJz2pJssIKK2T11Vdf5O8LYlanTp2ywQYbLGavgdaKNc39vmf06NGpra3NCy+8sNB5SUvFmiSV5Kr27dtXtS+A8i24ecbSbKMl48zi9AdYtnh8OcDn1DbbbJNk/iM2F9xBsj51b2++9dZbN6uN/v37Z7XVVkuSvPzyy42Wrbu+sTvLNeb6669PMv/i2qeTDuomPM2dO7fReubMmVPvdsBn34JfB9b3SOFqNRZrkuSrX/1qZbmx2FdG3APm++CDD7LLLrvk2WefTZKceeaZOeKII0qrf7PNNkuHDh2SNP7ol9mzZ+fRRx9dZJvmairOAEtHS8ea+lx//fWVzy9lJ3+WFWvq3n1hSc6xgKZ9lo435zPAklhwTbap67jJ/13LXdzruE899VQlYWLPPfes3D0TWHaV9X1PS8Wap556qnIH3qFDh6Znz55NbgOUb8H1myQt9gPSptpozXOauXPn5oUXXmiwL8CyR1ImwOfUnnvuWVm+8sor6y1TW1tbeVRe9+7dM2TIkGa3M2zYsCTJ5MmTF3p01aeNHDmysrzttts2u52bbrop48aNS5J85zv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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "qc = createCircuitSwe(x0.flatten(), FR,CR, mu=1, depth=1)\n", - "job=execute(qc, backend)\n", - "_=plot_histogram(job.result().get_counts())" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ceeff23f", - "metadata": {}, - "outputs": [], - "source": [ - "# job.result().get_counts(),\n", - "job.result().results[int(ji)].data.statevector" + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "for ue in [True, False]:\n", + " for mu in [0.1,0.2,1,10]:\n", + " print(\"mu=\",mu,\"useExco=\",ue)\n", + " E, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[ue])\n", + "\n", + " # plot landscape\n", + " _=getfig(E)\n", + " pl.plot(x0[0],x0[1],'ro')\n", + "\n", + " # plot histogram\n", + " md=job.result().get_counts()[int(ji)]\n", + " pl.figure()\n", + " pl.bar([k[::-1] for k in md.keys()], md.values())\n", + " pl.ylim([0,1])" ] }, { "cell_type": "code", - "execution_count": null, - "id": "4cc5f124", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d87dc0b0", + "execution_count": 75, + "id": "8ca9230b", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mu= 0.1\n", + "mu= 0.2\n", + "mu= 1\n", + "mu= 10\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "mu=2\n", - "E, x0, job, ji = getElandscape(backend,createCircuitChoose,FR,CR,mu,useExco=[True])\n", - "\n", - "_=getfig(E)\n", + "qaoa=QAOANor(CR, FR)\n", "\n", - "pl.plot(x0[0],x0[1],'ro')\n", + "for mu in [0.1,0.2,1,10]:\n", + " print(\"mu=\",mu)\n", + " E, x0, job, ji = qaoa.getElandscape(backend,mu)\n", "\n", - "_=plot_histogram(job.result().get_counts()[int(ji)])" + " # plot histogram\n", + " md=job.result().get_counts()[int(ji)]\n", + " pl.figure()\n", + " pl.bar([k[::-1] for k in md.keys()], md.values())\n", + " pl.ylim([0,1])" ] }, { "cell_type": "code", "execution_count": null, - "id": "fa57e189", + "id": "98286d13", "metadata": {}, "outputs": [], "source": [ - "mu=2\n", - "E, x0, job, ji = getElandscape(backend,createCircuitChoose,FR,CR,mu,useExco=[False])\n", - "\n", - "_=getfig(E)\n", - "\n", - "pl.plot(x0[0],x0[1],'ro')\n", - "\n", - "_=plot_histogram(job.result().get_counts()[int(ji)])" + "# job.result().get_counts(),\n", + "job.result().results[int(ji)].data.statevector" ] }, { "cell_type": "code", "execution_count": null, - "id": "e98adc8f", + "id": "5ad02c62", "metadata": {}, "outputs": [], - "source": [ - "mu=2\n", - "E, x0, job, ji = getElandscape(backend,createCircuitSwe,FR,CR,mu)\n", - "\n", - "_=getfig(E)\n", - "\n", - "pl.plot(x0[0],x0[1],'ro')\n", - "\n", - "_=plot_histogram(job.result().get_counts()[int(ji)])t" - ] + "source": [] }, { "cell_type": "code", "execution_count": null, - "id": "064edfbe", + "id": "ca140ae2", "metadata": {}, "outputs": [], - "source": [ - "np.linspace(0,1,4,endpoint=False)" - ] + "source": [] } ], "metadata": { @@ -347,7 +664,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/newbeginning.py~ b/newbeginning.py~ new file mode 100644 index 0000000..f24f2ce --- /dev/null +++ b/newbeginning.py~ @@ -0,0 +1,334 @@ +import numpy as np +from qiskit import * + +import itertools + +class QAOAbase: + + def __init__(self, CR, FR): + self.CR=CR + self.FR=FR + + def createCircuit(self): + raise NotImplementedError + + def cost(self, binstring,mu=1, plotsolutions=False): + # Reverse string since qiskit uses ordering MSB ... LSB + x = np.array(list(map(int,binstring[::-1]))) + if self.CR is None: + return np.sum((1 - (self.FR @ x))**2) + else: + excost=np.sum((1 - (self.FR @ x))**2) + if plotsolutions and excost==0: + print(x, (self.CR @ x)) + return ( (self.CR @ x) + mu *excost ) + + def measurementStatistics(self, job, nb, ng, nd=None, mu=1): + costs=self.cost_vector(mu) + if self.num_params==2: + E=np.zeros((nb,ng)) + for i in range(nb): + for j in range(ng): + statevector = job.result().results[j+ng*i].data.statevector + probs = np.abs(statevector)**2 + E[i,j] = costs @ probs[::-1] + else: + E=np.zeros((nb,ng,nd)) + for i in range(nb): + for j in range(ng): + for l in range(nd): + statevector = job.result().results[l+nd*(j+ng*i)].data.statevector + probs = np.abs(statevector)**2 + E[i,j,l] = costs @ probs[::-1] + # print(costs,probs) + return E + + + def cost_vector(self, mu, plotsolutions=False): + F, R = np.shape(self.FR) + state_strings = np.array([''.join(i) for i in itertools.product('01', repeat= R)]) + costs=np.zeros((2**R)) + for i in range(2**R): + costs[i] = self.cost(state_strings[i], mu=mu, plotsolutions=plotsolutions) + # costs[i] = cost(state_strings[2**R-i-1],self.CR=self.CR, FR=FR, mu=1) + if plotsolutions: + print("min cost=", np.min(costs)) + return costs + + def mix_states(self, qc, beta): + qc.rx( - 2*beta, range(qc.num_qubits)) + return qc + + def apply_exco(self, qc, FR, gamma): + for r in range(qc.num_qubits): + + hr = 0.5 * self.FR[:,r] @ (np.sum(self.FR,axis = 1) - 2) + if not np.isclose(hr, 0): + qc.rz( 2*gamma * hr, range(qc.num_qubits)) + + for r_ in range(r+1,qc.num_qubits): + Jrr_ = 0.5 * self.FR[:,r] @ self.FR[:,r_] + if not np.isclose(Jrr_, 0): + qc.cx(r, r_) + qc.rz(2*gamma * Jrr_, r_) + qc.cx(r, r_) + return qc + + def apply_cost(self, qc, CR, gamma): + for r in range(qc.num_qubits): + hr = 0.5 * self.CR[r] + if not np.isclose(hr, 0): + qc.rz( 2*gamma * hr, r) + return qc + + def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np.pi,delta_max=2*np.pi,ng=40,nb=20,nd=40, barrier=False, sv=None): + depth=1 + circuits=[] + if self.num_params==2: + for beta in np.linspace(0,beta_max,nb,endpoint=False): + for gamma in np.linspace(0,gamma_max,ng,endpoint=False): + + if useExco is not None: + qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv) + else: + qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv) + + circuits.append(qc) + else: + for delta in np.linspace(0,delta_max,nd,endpoint=False): + for beta in np.linspace(0,beta_max,nb,endpoint=False): + for gamma in np.linspace(0,gamma_max,ng,endpoint=False): + qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv) + + circuits.append(qc) + + job = execute(circuits, backend) + E = self.measurementStatistics(job, nb, ng, nd, mu=mu) + + if self.num_params==2: + i_b,i_g=np.where(E==np.min(E)) + i_b=i_b[0] + i_g=i_g[0] + gamma=np.linspace(0,gamma_max,ng,endpoint=False) + beta=np.linspace(0,beta_max,nb,endpoint=False) + x0=np.array((gamma[i_g],beta[i_b])) + index=i_g+ng*i_b + else: + i_b,i_g,i_d=np.where(E==np.min(E)) + i_b=i_b[0] + i_g=i_g[0] + i_d=i_d[0] + gamma=np.linspace(0,gamma_max,ng,endpoint=False) + beta=np.linspace(0,beta_max,nb,endpoint=False) + delta=np.linspace(0,delta_max,nd,endpoint=False) + x0=np.array((gamma[i_g],beta[i_b],delta[i_d])) + index=i_d+nd*(i_g+ng*i_b) + + return E, x0, job, index + + +import matplotlib.pyplot as pl + +def getfig(E, beta_max=np.pi,gamma_max=2*np.pi,nb=20,ng=40): + gamma=np.linspace(0,gamma_max,ng,endpoint=False) + beta=np.linspace(0,beta_max,nb,endpoint=False) + shiftg=0.5*(gamma[1]-gamma[0]) + shiftb=0.5*(beta[1]-beta[0]) + + fig=pl.figure(figsize=(20,10), dpi=200, facecolor='w', edgecolor='k'); + pl.imshow(E,interpolation='nearest',origin='lower' + ,extent=[shiftg,gamma_max-shiftg,shiftb,beta_max-shiftb], aspect=1) + pl.xlabel('$\gamma$',loc='left') + pl.ylabel(r'$\beta$') + pl.colorbar(shrink=0.75, pad=0.05, orientation="horizontal") + pl.xticks(np.linspace(0, gamma_max,9,endpoint=False))#, ['0', r'$\pi$', r'$2\pi$']) + pl.yticks(np.linspace(0, beta_max,5,endpoint=False))#, ['0', r'$\pi$', r'$2\pi$']) + #pl.yticks([0,beta_max], ['0', r'$\pi/2$']) + pl.xlabel('$\gamma$',loc='left') + pl.ylabel(r'$\beta$') + return fig + + +def getSpectrum(CR, FR): + I=np.array((1,1)) + Z=np.array((1,-1)) + + R=CR.shape[0] + + H_cost = np.zeros(2**R) + H_exco = np.zeros(2**R) + for r in range(R): + for i in range(R): + if i==0: + if i==r: + Zr = Z + else: + Zr = I + else: + if i==r: + Zr = np.kron(Z,Zr) + else: + Zr = np.kron(I,Zr) + H_cost += 0.5*CR[r]*Zr + H_exco += 0.5 * FR[:,r] @ (np.sum(FR,axis = 1) - 2)*Zr + + for r in range(R): + for r_ in range(r+1,R): + for i in range(R): + if i==0: + if i==r or i==r_: + ZZrr_ = Z + else: + ZZrr_ = I + else: + if i==r or i==r_: + ZZrr_ = np.kron(Z,ZZrr_) + else: + ZZrr_ = np.kron(I,ZZrr_) + Jrr_ = 0.5 * FR[:,r] @ FR[:,r_] + H_exco+=Jrr_*ZZrr_ + + n=100 + e = np.zeros((2**R,n)) + x=np.linspace(0,4,n) + # E=[] + for i in range(n): + e[:,i]=-H_cost+x[i]*H_exco + # if i==0: + # for j in range(len(E)): + # found=False + # if abs(E[j]-e[j,])<1e-8 + # e[:,i] /=np.max(np.abs(e[:,i])) + + emax=np.max(e,axis=0) + emin=np.min(e,axis=0) + + es = np.zeros((2**R,n)) + for i in range(2**R): + es[i,:]=(e[i,:]-emin)/(emax-emin) + + + ue={} + lab={} + j=0 + ci=33 + for i in range(2**R): + used=False + ik=None + # print() + # print("new i",i) + # print(ue) + for key in ue: + # for j in range(len(ue)): + # print("key=", key, e[i,0], ue[key][0]) + # print(ue) + if abs(e[i,ci]-ue[key][ci])<1e-8: + used=True + ik=key + break + # print("used=", used) + if used: + print(e[i,ci], "already used") + lab[ik]+=", "+"{0:b}".format(i).zfill(R) + else: + j+=1 + ue[j] = e[i,:] + lab[j]="{0:b}".format(i).zfill(R) + # for j in range(len(ue)): + # pl.plot(x,ue[i,:], label="{0:b}".format(i).zfill(3)) + return x, e, es, ue, lab + +class QAOAChoose(QAOAbase): + + num_params=2 + #def __init__(self, CR, FR): + # super().__init__(CR, FR) + + def createCircuit(self, x,useExco,barrier=False,sv=None): + F, R = np.shape(self.FR) + gamma=x[::2] + beta=x[1::2] + qc = QuantumCircuit(R) + if sv is not None: + qc.initialize(sv) + if barrier: + qc.barrier() + qc.h(range(R)) + if barrier: + qc.barrier() + i=-1 + for ue in useExco: + i+=1 + if ue: + qc = self.apply_exco(qc, self.FR, gamma[i]) + else: + qc = self.apply_cost(qc, self.CR, gamma[i]) + if barrier: + qc.barrier() + qc = self.mix_states(qc, beta[i]) + if barrier: + qc.barrier() + qc.barrier() + return qc + +class QAOANor(QAOAbase): + + num_params=3 + + def createCircuit(self, x,mu,depth,barrier=False,sv=None): + F, R = np.shape(self.FR) + gamma=x[::3] + beta=x[1::3] + delta=x[2::3] + qc = QuantumCircuit(R) + if sv is not None: + qc.initialize(sv) + if barrier: + qc.barrier() + qc.h(range(R)) + if barrier: + qc.barrier() + i=-1 + for d in range(depth): + i+=1 + qc = self.apply_exco(qc, self.FR, gamma[i]) + qc = self.mix_states(qc, beta[i]) + qc = self.apply_cost(qc, self.CR, delta[i]) + qc = self.mix_states(qc, beta[i]) + if barrier: + qc.barrier() + qc.barrier() + return qc + + + +class QAOASwe(QAOAbase): + + num_params=2 + + def createCircuit(self, x,mu,depth,barrier=False,sv=None): + F, R = np.shape(self.FR) + gamma=x[::2] + beta=x[1::2] + qc = QuantumCircuit(R) + if sv is not None: + qc.initialize(sv) + if barrier: + qc.barrier() + qc.h(range(R)) + if barrier: + qc.barrier() + i=-1 + for d in range(depth): + i+=1 + qc = self.apply_exco(qc, self.FR, mu*gamma[i]) + qc = self.apply_cost(qc, self.CR, gamma[i]) + if barrier: + qc.barrier() + qc = self.mix_states(qc, beta[i]) + if barrier: + qc.barrier() + qc.barrier() + return qc + + From bda5c70a472d87ed33e97ee39d73f26aeef588a2 Mon Sep 17 00:00:00 2001 From: Franz Georg Fuchs Date: Wed, 29 Sep 2021 21:11:54 +0200 Subject: [PATCH 04/12] update --- newbeginning.py~ | 334 ----------------------------------------------- 1 file changed, 334 deletions(-) delete mode 100644 newbeginning.py~ diff --git a/newbeginning.py~ b/newbeginning.py~ deleted file mode 100644 index f24f2ce..0000000 --- a/newbeginning.py~ +++ /dev/null @@ -1,334 +0,0 @@ -import numpy as np -from qiskit import * - -import itertools - -class QAOAbase: - - def __init__(self, CR, FR): - self.CR=CR - self.FR=FR - - def createCircuit(self): - raise NotImplementedError - - def cost(self, binstring,mu=1, plotsolutions=False): - # Reverse string since qiskit uses ordering MSB ... LSB - x = np.array(list(map(int,binstring[::-1]))) - if self.CR is None: - return np.sum((1 - (self.FR @ x))**2) - else: - excost=np.sum((1 - (self.FR @ x))**2) - if plotsolutions and excost==0: - print(x, (self.CR @ x)) - return ( (self.CR @ x) + mu *excost ) - - def measurementStatistics(self, job, nb, ng, nd=None, mu=1): - costs=self.cost_vector(mu) - if self.num_params==2: - E=np.zeros((nb,ng)) - for i in range(nb): - for j in range(ng): - statevector = job.result().results[j+ng*i].data.statevector - probs = np.abs(statevector)**2 - E[i,j] = costs @ probs[::-1] - else: - E=np.zeros((nb,ng,nd)) - for i in range(nb): - for j in range(ng): - for l in range(nd): - statevector = job.result().results[l+nd*(j+ng*i)].data.statevector - probs = np.abs(statevector)**2 - E[i,j,l] = costs @ probs[::-1] - # print(costs,probs) - return E - - - def cost_vector(self, mu, plotsolutions=False): - F, R = np.shape(self.FR) - state_strings = np.array([''.join(i) for i in itertools.product('01', repeat= R)]) - costs=np.zeros((2**R)) - for i in range(2**R): - costs[i] = self.cost(state_strings[i], mu=mu, plotsolutions=plotsolutions) - # costs[i] = cost(state_strings[2**R-i-1],self.CR=self.CR, FR=FR, mu=1) - if plotsolutions: - print("min cost=", np.min(costs)) - return costs - - def mix_states(self, qc, beta): - qc.rx( - 2*beta, range(qc.num_qubits)) - return qc - - def apply_exco(self, qc, FR, gamma): - for r in range(qc.num_qubits): - - hr = 0.5 * self.FR[:,r] @ (np.sum(self.FR,axis = 1) - 2) - if not np.isclose(hr, 0): - qc.rz( 2*gamma * hr, range(qc.num_qubits)) - - for r_ in range(r+1,qc.num_qubits): - Jrr_ = 0.5 * self.FR[:,r] @ self.FR[:,r_] - if not np.isclose(Jrr_, 0): - qc.cx(r, r_) - qc.rz(2*gamma * Jrr_, r_) - qc.cx(r, r_) - return qc - - def apply_cost(self, qc, CR, gamma): - for r in range(qc.num_qubits): - hr = 0.5 * self.CR[r] - if not np.isclose(hr, 0): - qc.rz( 2*gamma * hr, r) - return qc - - def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np.pi,delta_max=2*np.pi,ng=40,nb=20,nd=40, barrier=False, sv=None): - depth=1 - circuits=[] - if self.num_params==2: - for beta in np.linspace(0,beta_max,nb,endpoint=False): - for gamma in np.linspace(0,gamma_max,ng,endpoint=False): - - if useExco is not None: - qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv) - else: - qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv) - - circuits.append(qc) - else: - for delta in np.linspace(0,delta_max,nd,endpoint=False): - for beta in np.linspace(0,beta_max,nb,endpoint=False): - for gamma in np.linspace(0,gamma_max,ng,endpoint=False): - qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv) - - circuits.append(qc) - - job = execute(circuits, backend) - E = self.measurementStatistics(job, nb, ng, nd, mu=mu) - - if self.num_params==2: - i_b,i_g=np.where(E==np.min(E)) - i_b=i_b[0] - i_g=i_g[0] - gamma=np.linspace(0,gamma_max,ng,endpoint=False) - beta=np.linspace(0,beta_max,nb,endpoint=False) - x0=np.array((gamma[i_g],beta[i_b])) - index=i_g+ng*i_b - else: - i_b,i_g,i_d=np.where(E==np.min(E)) - i_b=i_b[0] - i_g=i_g[0] - i_d=i_d[0] - gamma=np.linspace(0,gamma_max,ng,endpoint=False) - beta=np.linspace(0,beta_max,nb,endpoint=False) - delta=np.linspace(0,delta_max,nd,endpoint=False) - x0=np.array((gamma[i_g],beta[i_b],delta[i_d])) - index=i_d+nd*(i_g+ng*i_b) - - return E, x0, job, index - - -import matplotlib.pyplot as pl - -def getfig(E, beta_max=np.pi,gamma_max=2*np.pi,nb=20,ng=40): - gamma=np.linspace(0,gamma_max,ng,endpoint=False) - beta=np.linspace(0,beta_max,nb,endpoint=False) - shiftg=0.5*(gamma[1]-gamma[0]) - shiftb=0.5*(beta[1]-beta[0]) - - fig=pl.figure(figsize=(20,10), dpi=200, facecolor='w', edgecolor='k'); - pl.imshow(E,interpolation='nearest',origin='lower' - ,extent=[shiftg,gamma_max-shiftg,shiftb,beta_max-shiftb], aspect=1) - pl.xlabel('$\gamma$',loc='left') - pl.ylabel(r'$\beta$') - pl.colorbar(shrink=0.75, pad=0.05, orientation="horizontal") - pl.xticks(np.linspace(0, gamma_max,9,endpoint=False))#, ['0', r'$\pi$', r'$2\pi$']) - pl.yticks(np.linspace(0, beta_max,5,endpoint=False))#, ['0', r'$\pi$', r'$2\pi$']) - #pl.yticks([0,beta_max], ['0', r'$\pi/2$']) - pl.xlabel('$\gamma$',loc='left') - pl.ylabel(r'$\beta$') - return fig - - -def getSpectrum(CR, FR): - I=np.array((1,1)) - Z=np.array((1,-1)) - - R=CR.shape[0] - - H_cost = np.zeros(2**R) - H_exco = np.zeros(2**R) - for r in range(R): - for i in range(R): - if i==0: - if i==r: - Zr = Z - else: - Zr = I - else: - if i==r: - Zr = np.kron(Z,Zr) - else: - Zr = np.kron(I,Zr) - H_cost += 0.5*CR[r]*Zr - H_exco += 0.5 * FR[:,r] @ (np.sum(FR,axis = 1) - 2)*Zr - - for r in range(R): - for r_ in range(r+1,R): - for i in range(R): - if i==0: - if i==r or i==r_: - ZZrr_ = Z - else: - ZZrr_ = I - else: - if i==r or i==r_: - ZZrr_ = np.kron(Z,ZZrr_) - else: - ZZrr_ = np.kron(I,ZZrr_) - Jrr_ = 0.5 * FR[:,r] @ FR[:,r_] - H_exco+=Jrr_*ZZrr_ - - n=100 - e = np.zeros((2**R,n)) - x=np.linspace(0,4,n) - # E=[] - for i in range(n): - e[:,i]=-H_cost+x[i]*H_exco - # if i==0: - # for j in range(len(E)): - # found=False - # if abs(E[j]-e[j,])<1e-8 - # e[:,i] /=np.max(np.abs(e[:,i])) - - emax=np.max(e,axis=0) - emin=np.min(e,axis=0) - - es = np.zeros((2**R,n)) - for i in range(2**R): - es[i,:]=(e[i,:]-emin)/(emax-emin) - - - ue={} - lab={} - j=0 - ci=33 - for i in range(2**R): - used=False - ik=None - # print() - # print("new i",i) - # print(ue) - for key in ue: - # for j in range(len(ue)): - # print("key=", key, e[i,0], ue[key][0]) - # print(ue) - if abs(e[i,ci]-ue[key][ci])<1e-8: - used=True - ik=key - break - # print("used=", used) - if used: - print(e[i,ci], "already used") - lab[ik]+=", "+"{0:b}".format(i).zfill(R) - else: - j+=1 - ue[j] = e[i,:] - lab[j]="{0:b}".format(i).zfill(R) - # for j in range(len(ue)): - # pl.plot(x,ue[i,:], label="{0:b}".format(i).zfill(3)) - return x, e, es, ue, lab - -class QAOAChoose(QAOAbase): - - num_params=2 - #def __init__(self, CR, FR): - # super().__init__(CR, FR) - - def createCircuit(self, x,useExco,barrier=False,sv=None): - F, R = np.shape(self.FR) - gamma=x[::2] - beta=x[1::2] - qc = QuantumCircuit(R) - if sv is not None: - qc.initialize(sv) - if barrier: - qc.barrier() - qc.h(range(R)) - if barrier: - qc.barrier() - i=-1 - for ue in useExco: - i+=1 - if ue: - qc = self.apply_exco(qc, self.FR, gamma[i]) - else: - qc = self.apply_cost(qc, self.CR, gamma[i]) - if barrier: - qc.barrier() - qc = self.mix_states(qc, beta[i]) - if barrier: - qc.barrier() - qc.barrier() - return qc - -class QAOANor(QAOAbase): - - num_params=3 - - def createCircuit(self, x,mu,depth,barrier=False,sv=None): - F, R = np.shape(self.FR) - gamma=x[::3] - beta=x[1::3] - delta=x[2::3] - qc = QuantumCircuit(R) - if sv is not None: - qc.initialize(sv) - if barrier: - qc.barrier() - qc.h(range(R)) - if barrier: - qc.barrier() - i=-1 - for d in range(depth): - i+=1 - qc = self.apply_exco(qc, self.FR, gamma[i]) - qc = self.mix_states(qc, beta[i]) - qc = self.apply_cost(qc, self.CR, delta[i]) - qc = self.mix_states(qc, beta[i]) - if barrier: - qc.barrier() - qc.barrier() - return qc - - - -class QAOASwe(QAOAbase): - - num_params=2 - - def createCircuit(self, x,mu,depth,barrier=False,sv=None): - F, R = np.shape(self.FR) - gamma=x[::2] - beta=x[1::2] - qc = QuantumCircuit(R) - if sv is not None: - qc.initialize(sv) - if barrier: - qc.barrier() - qc.h(range(R)) - if barrier: - qc.barrier() - i=-1 - for d in range(depth): - i+=1 - qc = self.apply_exco(qc, self.FR, mu*gamma[i]) - qc = self.apply_cost(qc, self.CR, gamma[i]) - if barrier: - qc.barrier() - qc = self.mix_states(qc, beta[i]) - if barrier: - qc.barrier() - qc.barrier() - return qc - - From f1be587a331ebcbfb1f13cca84ddbd8dba87ef15 Mon Sep 17 00:00:00 2001 From: Franz Georg Fuchs Date: Thu, 30 Sep 2021 19:36:18 +0200 Subject: [PATCH 05/12] update --- .gitignore | 2 + newbeginning.ipynb | 526 +++++++++++++++++++++++++++++++++++++++++---- newbeginning.py | 89 +++++++- 3 files changed, 567 insertions(+), 50 deletions(-) diff --git a/.gitignore b/.gitignore index b6e4761..d630751 100644 --- a/.gitignore +++ b/.gitignore @@ -127,3 +127,5 @@ dmypy.json # Pyre type checker .pyre/ + +*~ diff --git a/newbeginning.ipynb b/newbeginning.ipynb index ef43cb1..ad255a2 100644 --- a/newbeginning.ipynb +++ b/newbeginning.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 62, + "execution_count": 22, "id": "a88a8c77", "metadata": {}, "outputs": [ @@ -37,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 2, "id": "1096f1c6", "metadata": {}, "outputs": [], @@ -48,7 +48,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 3, "id": "913fbe8f", "metadata": {}, "outputs": [], @@ -59,7 +59,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "id": "742fbfa4", "metadata": {}, "outputs": [], @@ -74,7 +74,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "id": "bce5ef0f", "metadata": {}, "outputs": [], @@ -89,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "id": "cbd722cc", "metadata": {}, "outputs": [], @@ -106,7 +106,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "id": "24dce8c5", "metadata": {}, "outputs": [], @@ -120,7 +120,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "id": "11fccaf6", "metadata": {}, "outputs": [], @@ -138,7 +138,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "id": "afa02c16", "metadata": {}, "outputs": [], @@ -148,7 +148,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "id": "d228f979", "metadata": {}, "outputs": [ @@ -196,7 +196,7 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 31, "id": "b6491723", "metadata": { "scrolled": false @@ -207,14 +207,34 @@ "output_type": "stream", "text": [ "mu= 0.1\n", + "Optimization terminated successfully.\n", + " Current function value: 0.180217\n", + " Iterations: 11\n", + " Function evaluations: 23\n", + "[1.49619213 2.32324746] [1.49619213 2.32324746]\n", "mu= 0.2\n", + "Optimization terminated successfully.\n", + " Current function value: 0.332604\n", + " Iterations: 9\n", + " Function evaluations: 19\n", + "[1.2908084 2.21516126] [1.2908084 2.21516126]\n", "mu= 1\n", - "mu= 10\n" + "Optimization terminated successfully.\n", + " Current function value: 0.523343\n", + " Iterations: 10\n", + " Function evaluations: 21\n", + "[5.62375189 1.11895102] [5.62375189 1.11895102]\n", + "mu= 10\n", + "Optimization terminated successfully.\n", + " Current function value: 0.602647\n", + " Iterations: 10\n", + " Function evaluations: 22\n", + "[5.57892859 1.12833491] [5.57892859 1.12833491]\n" ] }, { "data": { - "image/png": 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bbknHjh1z8cUXLxAT5isj1jSl/pfrDj300JYPGGjQ888/nxdffDHTp0/PtGnT8tJLL+Waa67Jdtttl3322afJL2ZUa+TIkXn33Xcza9asvP3223nooYdy8sknZ8CAAZWnRjakNeLMY489lvHjx2fWrFl577338vTTT+cXv/hF1llnnQwdOtRiILAEkZQJ8Ck0P2EoSVXfypuflNncR+7Wf0TMGWeckcmTJ2ePPfbI3/72t0yfPj0TJ07MJZdckh49emTu3Lk5/vjjG/xG41e+8pUkyeTJk3PBBRc02NbDDz+cu+66q/L/+mOs7+yzz869996bbbfdNrfeemv222+/bLbZZtlrr71y5ZVXZoMNNshNN92U6667Lh07dmzWeIH2q1OnTjnzzDPzzDPPZN11122wTBmxpn7cu/baa/PXv/4166yzTu6888588MEH+eCDDzJixIjK4wF///vf50c/+tFijQ1o3IUXXpjRo0cnmXeDftNNN21RPc2ZO9VfjeWTc6cy5zTnnHNOnnvuuay++uo57bTTFj0AoFWVFWsWZdSoUZXHXO2zzz7p0aNHo2XLjDVNOfDAAzN27NgccMABLToeqN6GG26Yxx9/POedd17q6upaXM/RRx+djz/+OAceeGB22mmnZh9fyxgDlO/hhx/O7373u3Tq1CmXXXbZYsWT1valL30pTz31VE444YS8/vrr+eY3v5mtt946gwcPzoknnpiPPvooZ5xxRp544onKfZb6ttlmm8rjja+66qoFnmRQ32mnnVZZiTgRs6AMtYg13bt3z913353f/va36d+/fy644ILstttu2XzzzfO1r30tDz30UPbdd9888sgj+fa3v91oPYsbaxblo48+yh/+8Ick877ku9122y3WmIH/s8wyy+RrX/tafvvb32bUqFF56qmn8uc//zmnnnpqevfunSS57bbb8pWvfCWzZs1qcTvrr79+TjvttIwYMSJPPvlkHn/88Vx99dWVz1Lvvfde9ttvv0ZX7E3KizN9+/bNMccckxtvvDF//etf8+STT+aPf/xjvvGNb2SppZbK3Llzc8YZZ+TUU09t8XiBGisA+NR5/fXXiyRFkuKQQw5psvzKK69cJCnWWGONZrXzk5/8pNJOkmLPPfcs5syZs1C5UaNGFR06dCiSFOutt14xd+7cBfb/+9//Lnr06FEkKerq6orjjjuuePHFF4uZM2cWb731VvGrX/2qWHbZZYu6urqiU6dOi+zrm2++WRx88MFF165dF+jb/H+dOnUq9tprr2Ls2LHNGitQnVdffbVyvQ0ZMqRV2vjnP/9ZPPvss8WYMWOK+++/v/jJT35S9OvXr+jcuXNxyCGHFB988EGDx5URa0aNGrVATFl55ZWLd955Z6G23n777aJfv35FkqJz587FuHHjWuVcwH+yBx98sHKt9unTp5gwYUKL6/rGN75Rua5ffvnlRZa94oorKmWvvfbaBfaVNad58cUXK3OZu+66a6H9gwYNqvQBaF1lxppF+e///u/KdX3PPfcssmyZn5/mGzduXPHss88Wzz77bPHII48Ul156abHxxhsXSYqtt966ePHFF8scLvxHmzJlSuV6Gz16dHHjjTcW++yzT+VaHTFiRIvrvvrqq4skRY8ePYo333xzof3z48ygQYMaraM1Ysx8V111VaUPV111VQtHCTRmxowZxTrrrFMkKb7//e8vtP/000+vXIMPPPBAqW0PGTKkUverr75a1TFz584tLrjggmLVVVdt8D5ukmKdddYphg0b1mgdP//5zytl+/btW1xzzTXF5MmTixkzZhRjxowpDj744Mq9mfnlfvKTn5Q0avjPVMtY89hjjxXbbbddUVdX12CM6NGjR/Gtb32reP/99xuto4xY05jrr7++UscPf/jDxRkq8AlTpkxpdN+ECROKjTbaqHL9XXTRRaW3URRFcdlll1Xa6NevX/HRRx81WK6MODNt2rRi5syZje7/61//Wiy33HKVz2lPPfVUNUME2pi/4AB8Ck2aNKkyyTvwwAObLN+nT59KwmRznHfeeQtMKF944YVGy+6///6Vcs8888xC+++9995i2WWXbXSymqQ455xziu7duxdJig033HChOp5//vmif//+RZKid+/exSWXXFK88cYbxcyZM4sJEyYU11xzTbHKKqsUSYqePXsWf/nLX5o1XqBptUjKbMi7775bbLbZZkWS4gtf+EIxderUBsstbqx54oknFih72WWXNdqnX/3qV5VyF198canjhf90zz33XNGrV68iSdGlS5fiwQcfXKz6vv3tb1eu16a+uHHJJZdUyt5yyy0L7S9jTjN48OAiSbHffvs12AdJmVAbZceaxkyfPr3o2bNn5Sb/7NmzmzymjFjTlNmzZxdHH310kaTo1atX8fTTT7dkeECVrrnmmqKurq7o0KFDixIW33777WKFFVYokhS//OUvGyxTTVJmUbRejJGUCa1rfiLUKqusUkybNq3R/e0hKXPOnDnFAQccUDnmiCOOKP7+978XH3/8cTFt2rTi4YcfLvbaa6/K/uOPP77Rur75zW8uMl717t17gcUFfvGLX5Q4cvjPU6tYc/PNNxddunSp3O/94x//WLzzzjvFzJkzi5dffrk466yziqWXXrpIUqy77rrFW2+9tVAdZcaahuy8886VY59//vkWjxVovpdffrnypYs111yz1do58sgjK9f5ddddt9D+1o4z9V133XWVeo488sjFGRZQIx5fDvAptOyyy1a2q3kk+YcffpikukedN9bO6quvvsgl13feeefK9hNPPLHQ/p122ilPP/10jjjiiMqy8/NtscUW+dOf/pRjjjmmMp5evXotVMchhxyScePGZZlllsmoUaPyrW99K/37989SSy2VFVdcMYccckgee+yxrLjiinnvvfdy0EEHZcaMGc0aM9A+9erVK1dffXWS5JlnnsnPfvazBsstbqypH/eSZNddd220T03FPaBlXn311ey0006ZMmVKOnbsmBtvvDGDBg1arDqbM3eaP29KGp47LW6cufLKK/PAAw9k2WWXzUUXXdTssQDlaI1Y05jbb7897733XpLk4IMPTseOHZs8pozPT03p2LFjLr744qy88sqZMmVKvvWtbzW7DqB6hxxySA444IDMnTs33/nOdzJlypRmHX/88cdn8uTJ2XTTTRf5CM9q1CLGAOV64YUXKvdCfvnLX6Zbt25t3KNFu+SSS3LzzTcnSYYOHZrf/e532WijjdK1a9d069YtW221VW6//fYccsghSZKf//znueuuuxqs69JLL81tt92WL3/5y+nUqVPl58sss0wOPfTQPPvss+nZs2fl52IWtFytYs3EiRNz2GGHZcaMGVl33XXz6KOPZu+9987yyy+fpZZaKgMGDMjJJ5+cESNGpK6uLv/4xz9y7LHHLlRPmbHmk956662MHDkySbLZZptlnXXWKWn0QDUGDBiQHXfcMUny0ksv5c0332yVdo4++ujK9kMPPbTQ/taMM5904IEHZrnllmu0L0D706npIgAsabp27ZoVVlghkydPzrhx4xZZdsqUKZXkgpVXXrlZ7dQv379//6rLTpo0qcEyAwYMyO9+97v89re/zYQJE/LBBx9kpZVWSo8ePZIkjz76aKXs5z//+QWOHTNmTJ588skk8/6Q2dgH4H79+uXYY4/Nj370o4wfPz733HNPvvKVryyy78CSYZ111snnPve5/Otf/8ott9ySs846q8FyixNr+vfvn7q6uhRFkST57Gc/22h/qol7QPO8+eab2WGHHfLmm2+mrq4uV155ZfbZZ5/Frrf+PGbcuHHZdNNNGy37xhtvVLYbmzstTpw555xzkiSDBg3KqFGjGqy/fkwZPnx4kqRbt27Zc889G+03UL3WijWNueaaayrbhx56aNXHLU6sqVbnzp2zyy675Le//W0ee+yxvPnmm+nXr1+L6gKa9pWvfCW///3v8+GHH+buu+/O17/+9aqOe/PNN3PttdcmSbbbbrv8/ve/X2T5SZMmVeYQq6++er74xS8uVKYWMQYoz4UXXpiZM2dmwIAB+eijjyrXeH3PPfdcZfv+++/PhAkTkiR77rlnzZM4r7jiiiTzviD3wx/+sNFyZ511ViW+/e53v8vuu+/eYLmvfOUr+cpXvpKPP/44EyZMSIcOHdKvX78stdRSSeZ9gXc+MQtarlaxZvjw4ZW/W51yyimNHrf99ttn++23z8iRI3PrrbdmypQpCyRelx1r6rv++uszZ86cJM37HAeU5/Of/3wlwXH8+PGtcr+i/rxh/PjxC+1vzTjzSZ06dcrAgQPzxBNPNNgXoP2RlAnwKbXOOutk1KhReemllzJ79uwFviVc3wsvvLDAMc2x7rrrVrbnf/hsTP39jfVlvrq6uvTt2zd9+/Zd4OcPP/xwZfuTfzAYO3ZsZXvjjTdeZP2bbLJJZfuFF16QlAmfIp/5zGfyr3/9K6+99lqTZVsSa7p165ZVV101//73v5Mkc+fObXQ1q+bEPaBpkydPzo477phXXnklybwVGcq66V3/5lr9uVFD5u/v1KlT1lxzzUWWbUmcmb+K95133pk777yzyb4fdNBBSZJVV11VUiaUoDVjTUMmTZqUe++9N8m8zzHrrbdes+toSaxpjs985jOV7ddee01SJrSiT15v1Zo5c2Zl+9xzz22y/NixYytziCFDhiwyRrR2jAHKMf9zxCuvvFK5vhflJz/5SWX71VdfrXlS5vx7uZ///OfTpUuXRsv1798/K664YiZOnNjkZ7UkWXrppbP66qsv9PP5Matr167ZYIMNWthroFaxprl/7xk5cmTmzp2bF198cYF5SWvFmiSV5KqlllqqqnMBlG/+4hlt2UZrxpmW9AdoXzy+HOBTauutt04y7xGb81eQbEj95c232mqrZrWx6qqrZpVVVkmSvPzyy4ssW3//olaWW5Qbbrghybyba59MOqif8DR79uxF1jNr1qwGjwO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" ] @@ -304,29 +372,37 @@ "source": [ "qaoa=QAOASwe(CR, FR)\n", "\n", - "for mu in [0.1,0.2,1,10]:\n", + "for mu in [0.1, 0.2,1,10]: \n", " print(\"mu=\",mu)\n", " if mu>1:\n", " m=40*5\n", " else:\n", " m=40\n", " E, x0, job, ji = qaoa.getElandscape(backend,mu,ng=m)\n", + " out, job_b, xb = qaoa.getlocalmin(x0, backend, mu)\n", "\n", " # plot landscape\n", " _=getfig(E,ng=m)\n", " pl.plot(x0[0],x0[1],'ro')\n", + " pl.plot(xb[0],xb[1],'wx')\n", " \n", " # plot histogram\n", " md=job.result().get_counts()[int(ji)]\n", " pl.figure()\n", " pl.bar([k[::-1] for k in md.keys()], md.values())\n", + " pl.ylim([0,1])\n", + " \n", + " # plot histogram\n", + " md=job_b.result().get_counts()\n", + " pl.figure()\n", + " pl.bar([k[::-1] for k in md.keys()], md.values())\n", " pl.ylim([0,1])" ] }, { "cell_type": "code", - "execution_count": 79, - "id": "6661468c", + "execution_count": 33, + "id": "4ac72a43", "metadata": { "scrolled": false }, @@ -336,18 +412,72 @@ "output_type": "stream", "text": [ "mu= 0.1 useExco= True\n", + "Optimization terminated successfully.\n", + " Current function value: 0.550011\n", + " Iterations: 12\n", + " Function evaluations: 21\n", + "[0.77800629 0.3925917 ] [0.77800629 0.3925917 ]\n", "mu= 0.2 useExco= True\n", + "Optimization terminated successfully.\n", + " Current function value: 0.550022\n", + " Iterations: 12\n", + " Function evaluations: 21\n", + "[0.77800629 0.3925917 ] [0.77800629 0.3925917 ]\n", "mu= 1 useExco= True\n", + "Optimization terminated successfully.\n", + " Current function value: 0.550109\n", + " Iterations: 12\n", + " Function evaluations: 21\n", + "[0.77800629 0.3925917 ] [0.77800629 0.3925917 ]\n", "mu= 10 useExco= True\n", + "Optimization terminated successfully.\n", + " Current function value: 0.550859\n", + " Iterations: 10\n", + " Function evaluations: 21\n", + "[0.78187001 1.96625657] [0.78187001 1.96625657]\n", "mu= 0.1 useExco= False\n", + "Optimization terminated successfully.\n", + " Current function value: 0.127283\n", + " Iterations: 11\n", + " Function evaluations: 22\n", + "[4.71872744 0.78586585] [4.71872744 0.78586585]\n", "mu= 0.2 useExco= False\n", + "Optimization terminated successfully.\n", + " Current function value: 0.181757\n", + " Iterations: 9\n", + " Function evaluations: 19\n", + "[4.73056665 0.78595423] [4.73056665 0.78595423]\n", "mu= 1 useExco= False\n", + "Optimization terminated successfully.\n", + " Current function value: 0.615001\n", + " Iterations: 12\n", + " Function evaluations: 24\n", + "[4.7976444 0.78498201] [4.7976444 0.78498201]\n", "mu= 10 useExco= False\n" ] }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_650769/3637396732.py:24: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", + " pl.figure()\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 5.457587\n", + " Iterations: 10\n", + " Function evaluations: 21\n", + "[4.87688397 0.78487206] [4.87688397 0.78487206]\n" + ] + }, { "data": { - "image/png": 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CgoKkQ4cOSUQkHTt2rNR4gdJVV4FpGmPHjs30fdtttxU7nqtcs3r16qR9+/ZJRCQDBgzI6RyAyhk/fnzm/f+Tn/yk0nGOO+64zB8m582bV2KbRx55JNPXjTfeWOx4rnLNth5//PEkYuttc5cuXarAFGpYrvJMee68885yvwRYXXmmJIsWLcqM59RTT61UDKBi9txzz8z/83PhoosuSiIiGThwYJIk//dH2rIKTKszzygwhZr16aefJq1atcoUKhQtosh14UJFC0xvvfXWVF9k+dnPfpZpN378+KxjRQs6zjjjjFJjzJkzJ9Pu0ksvTT0noHzVkWdWrVqVifH1r3+91HYzZ87MtBsyZEix47nIM2m8++67mfML11xA1dWVAtNc5RoFpkBlNQgAqKQnn3wy83jEiBEltmnQoEGceeaZERGxYsWKzKX7K+K2226LiIhWrVrFJZdcUuHz169fH2+//XZERBx00EEl3sKk0DHHHBMREYsXL47JkycXO75p06aIiOjYsWO0adOmxBh5eXmx6667RkTExo0bKzxeoPYqehuUDRs2ZB3LZa556KGHYsWKFRERMWrUqKoOG8iBAQMGZB5X9JaMhdauXRsvvvhiREQceeSR0bVr1xLbnXLKKZl1xhNPPJF1LJe5pqjVq1fHT37yk4iIuOGGG6Jjx44pZgTkUi7yTBr3339/RGz93DJs2LBix6srz5SmrPUVUD0K33e5eM9NnTo1/vKXv0STJk3ijjvuSHVOTecZoHr9+Mc/jrVr18bw4cOz1jO1QeFebkRk9mtLsttuu2Ueb7ufO23atMzjY489ttQYu+++eybOuHHjKjxWoHTVkWdykR9yGac8hZ/jIiKGDx9e4fOBuq2mcg1AaRSYAlBphRv7LVu2jP3226/Udv379888fvnllyvUx6ZNm+Kpp56KiK0beK1atYqIiPz8/Pjkk0/i008/zVpUl6SwSCsiYscddyyzbdHjkyZNKna8d+/eERGxbNmyWL16dalxPvzww6z2QP3wyCOPZB7vueeeWcdymWsee+yxiIjo1KlTJocmSRKLFi2KuXPnxtq1ays+eKBKiq43GjSo3EfpqVOnZjb2iq6PttWkSZP45je/mTln8+bNmWO5zDVF/fKXv4wFCxbEt7/97TjrrLPKbAtUj1zkmfLMnTs3Xn311YiIOPTQQ6Nnz57F2lRXnilNWesrIPdmz54db775ZkRU/T2Xn58fP/zhD6OgoCB+8YtfxB577JHqvJrOM0D1efTRR+OZZ56JDh06xA033LC9h1NM0b3Zwv3akhT9cs+2+7nLly/PPE6bsz7++OP49NNPKzRWoGTVlWd22GGH6NChQ0RUPj9s+29ViVOWJEnioYceioitf48bMmRIhc4H6r6ayDUAZVFgCkClzZ49OyIievXqFY0aNSq1XdE/WBSek9bMmTMzV9Q46KCDYtGiRTFixIho165d9OjRI7p37x5t27aN4447LvOH0m0VvSLOqlWryuyv6PF33nmn2PHzzjsvIrZ+oL/22mtLjPGXv/wls/FY2B6omwoKCmLx4sXx0ksvxcknnxwPP/xwRETssccecfTRR2e1zVWuKSgoyFwd45vf/GZs2rQprr766th5552jc+fO0atXr2jTpk3sv//+8cADD0SSJFWaI5BO0YKGyhZjFF0HlRej8Hh+fn68//77mX/P5bqm0JQpU+Kuu+6Kxo0bp77yGJB7ucgz5Ulz1ZvqyDPbWrFiRcyYMSNGjhwZF1xwQURsLa4///zzU8cA0lu3bl28//77cfPNN8fAgQNjy5YtERHx05/+tEpxb7zxxpg5c2bstttuccUVV6Q+rybyDFD9Vq5cmckj119/fXzlK1/ZziMq7uijj44ePXpERMStt94aX3zxRbE28+fPjzFjxkTE1v3nvffeO+u4nAXbT3XnmR/+8IcREfGf//wnnnvuuRLbXHPNNRER0bBhwzj33HOLHc9FninPxIkT45NPPomIrXe9KbwQC5A7jz32WOyxxx7RvHnzaN26dey+++4xfPjwmDBhQk77OfLII6Njx47RpEmT6NSpUwwYMCCuu+66rC/hlaQ6cs0VV1wRXbt2jSZNmkT79u1j3333jZ/97GcxZ86cSs0NqN8UmAJQKRs2bIilS5dGRJR6e9dC7du3z2zEzZs3r0L9FN2I27BhQ+y9994xZsyYrIXzhg0b4rnnnotDDz00/vjHPxaL0bZt2+jcuXNERLz22mtlXvH03//+d+ZxSd8yP/roo+MXv/hFRGzd0BgyZEg88cQT8cYbb8T48ePjnHPOydxe9owzzohzzjmnQvMFaocePXpEXl5eNGzYMHbaaac4/PDD48knn4yIiO7du8fjjz9erLA+V7lm3rx5sWbNmojYegXTb3/72zFq1Kj47LPPMm2SJInp06fHmWeeGd/97ncjPz+/SvMFylZQUBDXXXdd5r+/853vVCpO0XVQeeunbt26lXheLtc1ERGbN2/OXHns0ksvja9+9atlTwKoFrnKM+V58MEHIyKiefPmceqpp5bYJtd5ptBZZ50VeXl5kZeXFx06dIivf/3rccstt8TmzZujefPm8eCDD2bdyg2omjFjxmTecy1btozevXvHJZdcEosXL46IiEsvvTTOOOOMSsf/8MMP4ze/+U1ERNx+++3RrFmz1OdWV54BatbPf/7zWLRoURx88MG1dg+0adOm8dBDD0WHDh1i7ty50bdv37jrrrvilVdeiYkTJ8ZNN90U++23X6xYsSJ69OgRo0ePLhajT58+mcdlXUl5yZIl8e6772b+W86CqqvuPHPllVfGEUccERERJ598clx66aXx3HPPxbRp0+Lvf/97DBgwIMaNGxcNGzaMP/3pT1n5oFAu8kx5in5R8Mwzz6z8hIFSvfPOOzFnzpzYsGFDrF27Nj744IO4//7747DDDouTTz653C+ZpPXCCy/E8uXLY/PmzfH555/HpEmT4vLLL49dd901c0fPklRHrpkyZUosWLAgNm/eHCtXrow333wz/vjHP0afPn1i1KhRLm4CZFFgCkClFBY/RUSqb0sWFphW9LbORW9BdPXVV8fSpUvjhBNOiDfeeCM2bNgQixcvjttvvz3atGkTBQUFMXLkyBK/aXriiSdGRMTSpUvjpptuKrGvl19+OZ599tnMfxedY1HXXXdd/Otf/4oBAwbEE088EUOGDIkDDjggBg8eHPfee2/07ds3/v73v8eDDz4YDRs2rNB8gdqrUaNG8Zvf/Cbeeuut+NrXvlZim1zkmqJ574EHHojXX389+vTpE88880ysWbMm1qxZE+PHj8/cfvLRRx+N//mf/6nS3ICy3XLLLTF16tSI2PoHh/33379ScSqyfip6lZxt10+5XNdcf/318fbbb0fPnj3jV7/6VdkTAKpNrvJMWSZPnpy5jdrJJ58cbdq0KbVtLvNMeYYOHRqzZ8+O0047rVLnAxXTr1+/eO211+KGG26IvLy8Ssc577zzYv369TF06NA46qijKnx+TeYZIPdefvnluPvuu6NRo0Zx5513VimfVLeDDz44ZsyYEZdcckl8+umncf7558chhxwSAwcOjEsvvTTWrVsXV199dUybNi2z11LUoYcemrmN9ujRo7PuMFHUr371q8wVoiPkLKiqmsgzrVq1iueeey7+9re/RdeuXeOmm26K4447Lg488MD47ne/G5MmTYpTTjklXnnllfjxj39capyq5pmyrFu3Lh5//PGI2Ppl5cMOO6xKcwaytWjRIr773e/G3/72t5g8eXLMmDEjnn/++bjyyiujY8eOERHx5JNPxoknnhibN2+udD977713/OpXv4rx48fH9OnT47XXXov77rsv81lq5cqVMWTIkFKvphyRu1zTuXPnuOCCC+KRRx6J119/PaZPnx7/+Mc/4uyzz47GjRtHQUFBXH311XHllVdWer5APZQAQCV8+umnSUQkEZEMGzas3PbdunVLIiLZbbfdKtTPNddck+knIpJBgwYlW7ZsKdZu8uTJSYMGDZKISPbaa6+koKAg6/jHH3+ctGnTJomIJC8vL7n44ouTOXPmJJs2bUo+++yz5Lbbbktat26d5OXlJY0aNSpzrAsXLkzOOOOMpFmzZlljK/xp1KhRMnjw4GT27NkVmiuQzkcffZR5vw0fPrxa+njvvfeSWbNmJTNnzkxeeuml5Jprrkm6dOmSNGnSJBk2bFiyZs2aEs/LRa6ZPHlyVk7p1q1bsmzZsmJ9ff7550mXLl2SiEiaNGmSzJ8/v1qeC/iymzhxYub92qlTp2TRokWVjnX22Wdn3ttz584ts+0999yTafvAAw9kHcvVumbOnDmZ9cyzzz5b7Hj//v0zYwCqTy7zTFl+8IMfZN7T//znP8tsm8vPT4Xmz5+fzJo1K5k1a1byyiuvJHfccUfy9a9/PYmI5JBDDknmzJmTy+nCl96KFSsy77mpU6cmjzzySHLyySdn3q/jx4+vdOz77rsviYikTZs2ycKFC4sdL8w1/fv3LzVGdeSZQqNHj86MYfTo0ZWcJVCajRs3Jn369EkiIrnsssuKHb/qqqsy78EJEybktO/hw4dnYn/00UepzikoKEhuuummpHv37iXu5UZE0qdPn2TMmDGlxrj55pszbTt37pzcf//9ydKlS5ONGzcmM2fOTM4444zM/kxhu2uuuSZHs4Yvn5rMM1OmTEkOO+ywJC8vr8T80KZNm+RHP/pRsmrVqlJj5CLPlOahhx7KxPjlL39ZlakCJVixYkWpxxYtWpTsu+++mffgrbfemvM+kiRJ7rzzzkwfXbp0SdatW1diu1zkmrVr1yabNm0q9fjrr7+etG3bNvM5bcaMGWmmCHwJ+CsRAJWyZMmSzGJ16NCh5bbv1KlTpvizIm644YashfG7775battTTz010+6tt94qdvxf//pX0rp161IX3RGRXH/99UmrVq2SiEj69etXLMY777yTdO3aNYmIpGPHjsntt9+ezJs3L9m0aVOyaNGi5P7770922WWXJCKSdu3aJf/+978rNF+gfDVRYFqS5cuXJwcccEASEck+++yTrF69usR2Vc0106ZNy2p75513ljqm2267LdPuT3/6U07nCyTJ22+/nbRv3z6JiKRp06bJxIkTqxTvxz/+ceY9W94XUW6//fZM23HjxhU7not1zcCBA5OISIYMGVLiGBSYQvXLdZ4pzYYNG5J27dpl/liRn59f7jm5yDPlyc/PT84777wkIpL27dsnb775ZmWmB1TA/fffn+Tl5SUNGjSoVPHl559/nuywww5JRCR//vOfS2yTpsA0SaovzygwhepVWNi1yy67JGvXri31eG0oMN2yZUty2mmnZc4555xzkv/85z/J+vXrk7Vr1yYvv/xyMnjw4MzxkSNHlhrr/PPPLzNfdezYMetiCX/84x9zOHP4cqmpPPPYY48lTZs2zez3/uMf/0iWLVuWbNq0KZk7d25y7bXXJs2bN08iIvna176WfPbZZ8Vi5DLPlOToo4/OnPvOO+9Ueq5A5cydOzfzBZJevXpVWz/nnntu5r3+4IMPFjte3bmmqAcffDAT59xzz63KtIB6pEEAQCW0bt068zjNbe+/+OKLiCj/drBl9dOzZ88yL+l/9NFHZx5Pmzat2PGjjjoq3nzzzTjnnHMytzUo9M1vfjP+93//Ny644ILMfNq3b18sxrBhw2L+/PnRokWLmDx5cvzoRz+Krl27RuPGjWPHHXeMYcOGxZQpU2LHHXeMlStXxumnnx4bN26s0JyB2ql9+/Zx3333RUTEW2+9Fb///e9LbFfVXFM070VEHHvssaWOqby8B1TeRx99FEcddVSsWLEiGjZsGI888kj079+/SjErsn4qXDtFlLx+qmquuffee2PChAnRunXruPXWWys8F6DqqiPPlOapp56KlStXRkTEGWecEQ0bNiz3nFx8fipPw4YN409/+lN069YtVqxYET/60Y8qHAOomGHDhsVpp50WBQUFceGFF8aKFSsqdP7IkSNj6dKlsf/++5d5q9g0aiLPALn17rvvZvZD/vznP0fLli2384jKdvvtt8djjz0WERGjRo2Ku+++O/bdd99o1qxZtGzZMr71rW/FU089FcOGDYuIiJtvvjmeffbZEmPdcccd8eSTT8a3v/3taNSoUebfW7RoEWeeeWbMmjUr2rVrl/l3OQsqp6byzOLFi+Oss86KjRs3xte+9rV49dVX46STTooOHTpE48aNY9ddd43LL788xo8fH3l5efHf//43LrroomJxcplntvXZZ5/FCy+8EBERBxxwQPTp0ydHswfS2nXXXePII4+MiIgPPvggFi5cWC39nHfeeZnHkyZNKna8OnPNtoYOHRpt27YtdSzAl1Oj8psAQHHNmjWLHXbYIZYuXRrz588vs+2KFSsyRRLdunWrUD9F23ft2jV12yVLlpTYZtddd4277747/va3v8WiRYtizZo1sdNOO0WbNm0iIuLVV1/NtP3qV7+ade7MmTNj+vTpEbH1j7KlfZjv0qVLXHTRRfE///M/sWDBgvjnP/8ZJ554YpljB+qGPn36xO677x7vv/9+jBs3Lq699toS21Ul13Tt2jXy8vIiSZKIiNh5551LHU+avAdU3MKFC+OII46IhQsXRl5eXtx7771x8sknVzlu0bXM/PnzY//99y+17bx58zKPS1s/VSXXXH/99RER0b9//5g8eXKJ8YvmlbFjx0ZERMuWLWPQoEGljhtIp7ryTGnuv//+zOMzzzwz9XlVyTNpNWnSJI455pj429/+FlOmTImFCxdGly5dKhULSOfEE0+MRx99NL744ot47rnn4nvf+16q8xYuXBgPPPBAREQcdthh8eijj5bZfsmSJZk1RM+ePeMb3/hGsTY1kWeA3Lnlllti06ZNseuuu8a6desy7/Gi3n777czjl156KRYtWhQREYMGDarxgtR77rknIrZ+2e+Xv/xlqe2uvfbaTH67++674/jjjy+x3YknnhgnnnhirF+/PhYtWhQNGjSILl26ROPGjSNi6xeSC8lZUDk1lWfGjh2b+bvVFVdcUep5hx9+eBx++OHxwgsvxBNPPBErVqzIKiDPdZ4p6qGHHootW7ZERMU+xwG59dWvfjVTrLlgwYJq2bMoum5YsGBBsePVmWu21ahRo+jdu3dMmzatxLEAX04KTAGotD59+sTkyZPjgw8+iPz8/Kxvbhf17rvvZp1TEV/72tcyjws/SJem6PHSxlIoLy8vOnfuHJ07d87695dffjnzeNs/fMyePTvz+Otf/3qZ8ffbb7/M43fffVeBKdQjX/nKV+L999+PTz75pNy2lck1LVu2jO7du8fHH38cEREFBQWlXmWsInkPSGfp0qVx5JFHxocffhgRW6+WkatN/KIbhUXXRyUpPN6oUaPo1atXmW0rk2sKr7D+zDPPxDPPPFPu2E8//fSIiOjevbsCU6ii6swzJVmyZEn861//ioitn2P22muvCseoTJ6piK985SuZx5988okCU6hm277n0tq0aVPm8R/+8Idy28+ePTuzhhg+fHiZeaK68wyQG4WfIz788MPM+7ss11xzTebxRx99VOMFpoX7uV/96lejadOmpbbr2rVr7LjjjrF48eJyP6tFRDRv3jx69uxZ7N8Lc1azZs2ib9++lRw1fLnVVJ6p6N97XnjhhSgoKIg5c+ZkrUmqK89ERKZIrHHjxqmeC6B6FF4MZHv2UZ25pjLjAb58GmzvAQBQdx1yyCERsfUWroVX9ixJ0cvnf+tb36pQH927d49ddtklIiLmzp1bZtuix8u64l9ZHn744YjYukm4bfFE0eKt/Pz8MuNs3ry5xPOAuq/wG5sl3bI6rbJyTUTEt7/97czjsnJfLvIe8H9WrVoVRx99dLzzzjsREXHdddfFBRdckLP4BxxwQDRp0iQiyr690KZNm+K1114rdk5FlZdrgJpX3XmmJA8//HDm80uuC1lzlWeKXhGjKmssIJ269J6zngGqonBftry93Ij/28+t7F7um2++mSn+OOmkkzJXNQVqp1z9vae68sybb76ZuSry8ccfHx07diz3HKB6FO7hRES1fSG2vD5qck2Tn58fc+bMKXUswJeTAlMAKu2kk07KPB49enSJbQoKCjK3Y2zXrl0MHDiwwv0MGTIkIiIWL16cdWu0bT3xxBOZx4ceemiF+3nsscdi5syZERHxve99L9q1a5d1vOi30ku7lWyhokUjJX2bHaibpk2blrnCz957712pGOXlmoj/y3sR2bltW1XNe8D/WbduXRx//PHxn//8JyIirrzyyvjFL36R0z5at24dhx9+eEREvPDCCzF//vwS2z3xxBOxevXqiIhK3zK7vFzz8ccfR5IkZf70798/077w3wqvrgxUXE3kmZIUfh5r1KhR6ttgp5FmTZNG4S26I7YWkO222265GiJQisceeyzzuCKfa3r06FHu+qHolW769++f+bcxY8ZUapy5yDNA7owZM6bcHHDVVVdl2k+YMCHz7z169Kjx8Rbuy7799tuxcuXKUtu9/fbbsXz58qxzKurKK6/MPP7xj39cqRhAzeWZivy959///ndEbL3i+rZ9VFeeKfwcF7H1SvDA9vHhhx/G//t//y8iInbddddqu9DHXXfdlXlcdE+2UE2uacaOHZvZmy5pLMCXkwJTACrtwAMPzBQ03XPPPTFlypRibW666abMN7d/+tOfFvvm9pgxYyIvLy/y8vJi1KhRJfZz8cUXR7NmzSIi4ic/+Ul88cUXxdo8+OCDMXHixIjY+m3Orl27Fmvz6aefljqX119/Pc4999yIiOjQoUNce+21xdrsu+++mQ8Ojz/+eLz44oslxvrPf/4Td955Z0REtGjRIg477LBS+wVqRnm5ZurUqZlij9IsWLAgazNv2LBhJbaraq6JiDjhhBMyt6+9/vrr47333ivWZvbs2XHjjTdGxNZbXJ5yyilljh8o3aZNm+Lkk0+OV155JSK2rll++9vfVjhOmnXNpZdeGhFbvwl+wQUXxJYtW7KOL126NFNw1q5du0zO2FYucg1Qc2oyzxT13//+N2bMmBEREccee2zWbbHLU9U8s3Tp0nj88cfL7GPDhg1x9tlnx5IlSyJi65dsWrRokXqMQLYxY8bEhg0bymxzyy23xP/+7/9GxNaC0cK70xSNUZE8UxXWM/DlVVO5pvDKxxs3boyRI0eWeLvXDRs2xE9+8pPMf59wwgnF2qxevbrUYo4kSeKKK67I5Nbvf//7vgQMtUB5eeb444+PvLy8iIj43e9+l3WF96L++te/xhtvvBEREd/85jeLXUk0V3mmqC1btsQjjzwSEREdO3aM448/vsz2QOWMHz++zCuCLl68OE499dTMFUFLugNNeblm1qxZ8cEHH5Q5jrvuuivuueeeiIjYaaedSrzgQC5yzYoVKzJ/Sy/N1KlT46KLLoqIrUX1559/fpntgS8P9+wFoEpuvfXW+Na3vhXr16+Po446Kq644ooYOHBgrF+/PsaOHRt//etfIyKid+/ecckll1Sqj1122SV+85vfxM9//vOYPn16HHjggfHzn/889tprr1i1alU88cQTmYLONm3axC233FJinOOPPz5at24d3/ve96Jv377RsmXLWLBgQTz99NMxZsyYyM/Pj6ZNm8bDDz8cnTp1KnZ+gwYN4ve//32ceeaZsWXLljj22GPjvPPOi0GDBkWnTp1i+fLl8fzzz8ef//znWLduXUREXH755a6wAVX08ssvZ30AX7p0aebxBx98UOxKOGeddVaF+3jnnXdixIgRcfDBB8egQYOiX79+mQKMBQsWxIQJE2L06NGxatWqiIg44ogjYsSIESXGqmquidiab+644444/PDDY/Xq1XHwwQfHL37xi8wVgCZNmhTXX399rF27NiIi/vznPyvGgCo4/fTT4/nnn4+IiMMOOyzOOeecePvtt0tt36RJk+jdu3el+jrssMPiu9/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Ehz+3DB8+vMbyXXWuqUt976+A9La85lK83mbNmhW33XZblJaWxh133NGg53zc5xhg1/r/7d13uFXVuTfs3wYElC4WQBArSqJRY0msiI3YJRY0HkQjJ5qoJ77qSSzJUWNiNNEYY157wY4lxhrL0Sg2jMSKigUrgqAgqIhIW98ffHu9ILssYO6C3vd1cV2TPcccZa61nj3m2M+a82c/+1mmT5+eIUOGLDSXaQ6q13GTlNdqa7L22muXt7+6ljtq1Kjy9q677lprHeuuu265nltvvXWx+wrUrSFiTRExosh66lN9HZd4dDl80zRWnAGWTZIyAb6mqhfE27Vrl0033bTWcv369StvP/7444vVxqxZs3LHHXckmb/w1b59+yTJnDlz8u677+a9995baDJak+rEpiRZddVV6yy74P4RI0Yssr9Pnz5JkilTpuTTTz+ttZ633nprofLA18ONN95Y3l5//fUX2ldkrLnllluSJKussko5hpZKpUycODFvvvlmpk+fvvidB5bYgnONFi2W7BL36aefLi+GLTg3+qrWrVvn+9//fvmY2bNnl/cVGWcWdOKJJ2b8+PHZbrvtcuihh9ZZFmg4RcSa+rz55pt58sknkyTbbrtt1lxzzUXKNFSsqU1d8yugWGPGjMnzzz+fZOk/b3PmzMlPfvKTzJs3L7/85S+z3nrrVXRcY8cYoOHcfPPNufvuu7Piiivmj3/8Y1N3ZxELrstWr9XWZMEvw3x1Lffjjz8ub1cas95555289957i9VXoHYNFWtWWmmlrLjiikmWPEZ89WdLU09dSqVSrr/++iTz/x637777LtbxwLKtMeIMsOySlAnwNTVmzJgkyTrrrJNWrVrVWm7Bhf7qYyr1wgsvlO/esOWWW2bixIk57LDD0rlz56yxxhrp3bt3OnXqlN122638x8WvWvDOK5988kmd7S24/5VXXllk/xFHHJFk/kXwmWeeWWMd//f//t/ygl11eWDZNG/evEyaNCn//Oc/M3DgwNxwww1JkvXWWy8DBgxYqGxRsWbevHnlOzF8//vfz6xZs3L66adntdVWS/fu3bPOOuukY8eO2WyzzXLttdemVCot1RiB+i2YBLCkCQwLzoHqq6N6/5w5c/LGG2+Uf17knKbayJEjc8kll2S55Zar+A5XQMMoItbUp5K7qzRErPmqqVOn5rnnnstxxx2Xo446Ksn8pPQjjzyy4jqAysyYMSNvvPFG/vSnP6V///6ZO3dukuTnP//5UtV7zjnn5IUXXsjaa6+dk08+ueLjGiPGAA1v2rRp5Thy9tlnZ+WVV27iHi1qwIABWWONNZIk559/fj7//PNFyrz//vsZNmxYkvlrzxtuuOFC+8UsaFoNHWt+8pOfJEmeffbZ3HvvvTWWOeOMM5IkLVu2zNChQxfZX0Ssqc8jjzySd999N8n8J6xU37wEKMYtt9yS9dZbL8svv3w6dOiQddddN0OGDMnDDz9caDs777xzunbtmtatW2eVVVbJ9ttvn7POOmuhL67VpCHizMknn5yePXumdevW6dKlSzbZZJP8n//zf/L6668v0diApiMpE+BraObMmZk8eXKS1Pr4zWpdunQpL2CNGzdusdpZcAFr5syZ2XDDDTNs2LCFJpwzZ87Mvffem2233TZ//vOfF6mjU6dO6d69e5LkqaeeqvPOmo8++mh5u6ZvNA8YMCC//OUvk8xfBNh3331z22235d///nfuuuuuHH744eXHfx588ME5/PDDF2u8QPOwxhprpKqqKi1btky3bt2y44475vbbb0+S9O7dO3/7298WSUYvKtaMGzcun332WZL5d8rcbrvtctppp+WDDz4olymVSnnmmWdyyCGH5MADD8ycOXOWarxA7ebNm5ezzjqr/P8DDjhgiepZcA5U39ypV69eNR5X5JwmSWbPnl2+w9UJJ5yQb33rW3UPAmgwRcWa+lx33XVJkuWXXz777bdfjWWKjjXVDj300FRVVaWqqiorrrhivvvd7+a8887L7Nmzs/zyy+e6665b6FFbwJIbNmxY+fPWrl279OnTJ8cff3wmTZqUJDnhhBNy8MEHL3H9b731Vn7zm98kSS688MK0bdu24mMbKsYAjesXv/hFJk6cmK222qrZrn+2adMm119/fVZcccW8+eab2WijjXLJJZfkiSeeyCOPPJJzzz03m266aaZOnZo11lgjV1111SJ19O3bt7xd1x17P/zww7z66qvl/4tZUIyGjjWnnHJKdtpppyTJwIEDc8IJJ+Tee+/NqFGjctNNN2X77bfPrbfempYtW+Yvf/nLQjGhWhGxpj4LfrnukEMOWfIBAzV65ZVX8vrrr2fmzJmZPn16xo4dm2uuuSY77LBDBg4cWO8XMyr14IMP5uOPP87s2bPz0UcfZcSIETnppJOy1lprlZ8aWZOGiDMjR47M+PHjM3v27EybNi3PP/98/vznP6dv37457bTT3AwEliGSMgG+hqoThpJU9K286qTMxX3k7oKPiDn99NMzefLk7LHHHvn3v/+dmTNnZtKkSbnwwgvTsWPHzJs3L8cdd1yN32jce++9kySTJ0/OueeeW2Nbjz/+eO65557y/xcc44LOOuus3H///dl+++1z2223Zd99983mm2+evfbaK1deeWU22mij3HTTTbnuuuvSsmXLxRov0Hy1atUqv/nNb/Liiy/m29/+do1liog1C8a9a6+9Nv/617/St2/f3H333fnss8/y2Wef5a677io/HvDmm2/Or371q6UaG1C78847L08//XSS+Qv0m2222RLVszhzpwXvxvLVuVORc5qzzz47L730UtZcc838+te/rnsAQIMqKtbU5bHHHis/5mrgwIHp2LFjrWWLjDX1GTRoUMaMGZP9999/iY4HKrfxxhvnqaeeyh//+MdUVVUtcT1HHHFEvvjiiwwaNCi77LLLYh/fmDEGKN7jjz+eyy+/PK1atcrFF1+8VPGkoW211VZ57rnncvzxx+e9997LkUcemW222Sb9+/fPCSeckBkzZuT000/PqFGjyussC9p2223Ljze+6qqrFnqSwYJ+/etfl+9EnIhZUITGiDXt27fPvffem8suuyw9e/bMueeem9122y1bbLFFDjzwwIwYMSI//OEP88QTT+RnP/tZrfUsbaypy4wZM/K3v/0tyfwv+e6www5LNWbg/1lhhRVy4IEH5rLLLstjjz2W5557Lg888EBOOeWUdO3aNUly++23Z++9987s2bOXuJ0NN9wwv/71r3PXXXflmWeeyVNPPZWrr766fC01bdq07LvvvrXesTcpLs507949Rx11VG688cb861//yjPPPJO///3v+fGPf5zlllsu8+bNy+mnn55TTjlliccLNLISAF877733XilJKUlp8ODB9Zbv1atXKUlp7bXXXqx2zjjjjHI7SUp77rlnae7cuYuUe+yxx0otWrQoJSltsMEGpXnz5i20/5133il17NixlKRUVVVVOvbYY0uvv/56adasWaUPPvig9Ne//rXUoUOHUlVVValVq1Z19nXChAmlgw8+uNS2bduF+lb9r1WrVqW99tqrNGbMmMUaK1CZt99+u/x5GzJkSIO08dprr5VGjx5deuGFF0r//Oc/S2eccUapR48epdatW5cGDx5c+uyzz2o8rohY89hjjy0UU3r16lWaMmXKIm199NFHpR49epSSlFq3bl16//33G+RcwDfZI488Uv6srrLKKqWJEycucV0//vGPy5/rN998s86yV1xxRbnstddeu9C+ouY0r7/+enkuc8899yyyv1+/fuU+AA2ryFhTl//8z/8sf67vu+++OssWef1U7f333y+NHj26NHr06NITTzxRuuiii0rf/e53S0lK22yzTen1118vcrjwjTZ16tTy5+3pp58u3XjjjaWBAweWP6t33XXXEtd99dVXl5KUOnbsWJowYcIi+6vjTL9+/WqtoyFiTLWrrrqq3IerrrpqCUcJ1ObLL78s9e3bt5Sk9N///d+L7D/11FPLn8GHH3640LaHDBlSrvvtt9+u6Jh58+aVzj333FLv3r1rXMdNUurbt29p2LBhtdbxpz/9qVy2e/fupWuuuaY0efLk0pdffll64YUXSgcffHB5baa63BlnnFHQqOGbqTFjzciRI0s77LBDqaqqqsYY0bFjx9JPf/rT0ieffFJrHUXEmtpcf/315TpOPPHEpRkq8BVTp06tdd/EiRNLm2yySfnzd/755xfeRqlUKl188cXlNnr06FGaMWNGjeWKiDPTp08vzZo1q9b9//rXv0qdOnUqX6c999xzlQwRaGL+ggPwNfThhx+WJ3mDBg2qt/wqq6xSTphcHH/84x8XmlC++uqrtZbdb7/9yuVefPHFRfbff//9pQ4dOtQ6WU1SOvvss0vt27cvJSltvPHGi9TxyiuvlHr27FlKUuratWvpwgsvLI0bN640a9as0sSJE0vXXHNNafXVVy8lKXXu3Ln06KOPLtZ4gfo1RlJmTT7++OPS5ptvXkpS+s53vlP69NNPayy3tLFm1KhRC5W9+OKLa+3TX//613K5v/zlL4WOF77pXnrppVKXLl1KSUpt2rQpPfLII0tV389+9rPy57W+L25ceOGF5bK33nrrIvuLmNP079+/lKS077771tgHSZnQOIqONbWZOXNmqXPnzuVF/jlz5tR7TBGxpj5z5swpHXHEEaUkpS5dupSef/75JRkeUKFrrrmmVFVVVWrRosUSJSx+9NFHpZVWWqmUpHTBBRfUWKaSpMxSqeFijKRMaFjViVCrr756afr06bXubw5JmXPnzi3tv//+5WMOP/zw0rPPPlv64osvStOnTy89/vjjpb322qu8/7jjjqu1riOPPLLOeNW1a9eFbi7w5z//ucCRwzdPY8WaW265pdSmTZvyeu/f//730pQpU0qzZs0qvfnmm6UzzzyztPzyy5eSlL797W+XPvjgg0XqKDLW1GTAgAHlY1955ZUlHiuw+N58883yly7WWWedBmtn6NCh5c/5ddddt8j+ho4zC7ruuuvK9QwdOnRphgU0Eo8vB/ga6tChQ3m7kkeSf/7550kqe9R5be2sueaadd5yfcCAAeXtUaNGLbJ/l112yfPPP5/DDz+8fNv5at///vfzj3/8I0cddVR5PF26dFmkjsGDB+f999/PCiuskMceeyw//elP07Nnzyy33HJZddVVM3jw4IwcOTKrrrpqpk2bloMOOihffvnlYo0ZaJ66dOmSq6++Okny4osv5ve//32N5ZY21iwY95Jk1113rbVP9cU9YMm8/fbb2WWXXTJ16tS0bNkyN954Y/r167dUdS7O3Kl63pTUPHda2jhz5ZVX5uGHH06HDh1y/vnnL/ZYgGI0RKypzR133JFp06YlSQ4++OC0bNmy3mOKuH6qT8uWLfOXv/wlvXr1ytSpU/PTn/50sesAKjd48ODsv//+mTdvXo4++uhMnTp1sY4/7rjjMnny5Gy22WZ1PsKzEo0RY4Bivfrqq+W1kAsuuCDt2rVr4h7V7cILL8wtt9ySJDnttNNy+eWXZ5NNNknbtm3Trl27bL311rnjjjsyePDgJMmf/vSn3HPPPTXWddFFF+X222/Pdtttl1atWpV/vsIKK+SQQw7J6NGj07lz5/LPxSxYco0VayZNmpRDDz00X375Zb797W/nySefzD777JMVV1wxyy23XNZaa62cdNJJueuuu1JVVZWXX345xxxzzCL1FBlrvuqDDz7Igw8+mCTZfPPN07dv34JGD1RirbXWys4775wkGTt2bCZMmNAg7RxxxBHl7REjRiyyvyHjzFcNGjQonTp1qrUvQPPTqv4iACxr2rZtm5VWWimTJ0/O+++/X2fZqVOnlpMLevXqtVjtLFi+Z8+eFZf98MMPayyz1lpr5fLLL89ll12WiRMn5rPPPku3bt3SsWPHJMmTTz5ZLvutb31roWNfeOGFPPPMM0nm/yGztgvgHj165JhjjsmvfvWrjB8/Pvfdd1/23nvvOvsOLBv69u2bddddN2+88UZuvfXWnHnmmTWWW5pY07Nnz1RVVaVUKiVJVltttVr7U0ncAxbPhAkTstNOO2XChAmpqqrKlVdemYEDBy51vQvOY95///1sttlmtZYdN25cebu2udPSxJmzzz47SdKvX7889thjNda/YEwZPnx4kqRdu3bZc889a+03ULmGijW1ueaaa8rbhxxySMXHLU2sqVTr1q3zgx/8IJdddllGjhyZCRMmpEePHktUF1C/vffeOzfffHM+//zz3HvvvfnRj35U0XETJkzItddemyTZYYcdcvPNN9dZ/sMPPyzPIdZcc81873vfW6RMY8QYoDjnnXdeZs2albXWWiszZswof8YX9NJLL5W3//nPf2bixIlJkj333LPRkzivuOKKJPO/IHfiiSfWWu7MM88sx7fLL788u+++e43l9t577+y999754osvMnHixLRo0SI9evTIcsstl2T+F3iriVmw5Bor1gwfPrz8d6uTTz651uN23HHH7LjjjnnwwQdz2223ZerUqQslXhcdaxZ0/fXXZ+7cuUkW7zoOKM63vvWtcoLj+PHjG2S9YsF5w/jx4xfZ35Bx5qtatWqVPn36ZNSoUTX2BWh+JGUCfE317ds3jz32WMaOHZs5c+Ys9C3hBb366qsLHbM4vv3tb5e3qy8+a7Pg/tr6Uq2qqirdu3dP9+7dF/r5448/Xt7+6h8MxowZU97+7ne/W2f9m266aXn71VdflZQJXyMrr7xy3njjjbz77rv1ll2SWNOuXbv07t0777zzTpJk3rx5td7NanHiHlC/yZMnZ+edd85bb72VZP4dGYpa9F5wcW3BuVFNqve3atUq66yzTp1llyTOVN/F++67787dd99db98POuigJEnv3r0lZUIBGjLW1OTDDz/M/fffn2T+dcwGG2yw2HUsSaxZHCuvvHJ5+91335WUCQ3oq5+3Ss2aNau8/Yc//KHe8mPGjCnPIYYMGVJnjGjoGAMUo/o64q233ip/vutyxhlnlLfffvvtRk/KrF7L/da3vpU2bdrUWq5nz55ZddVVM2nSpHqv1ZJk+eWXz5prrrnIz6tjVtu2bbPRRhstYa+Bxoo1i/v3ngcffDDz5s3L66+/vtC8pKFiTZJyctVyyy1X0bkAild984ymbKMh48yS9AdoXjy+HOBraptttkky/xGb1XeQrMmCtzffeuutF6uN3r17Z/XVV0+SvPnmm3WWXXB/XXeWq8sNN9yQZP7i2leTDhZMeJozZ06d9cyePbvG44BlX/W3A2t6pHCl6oo1SbLddtuVt+uKfUXEPWC+Tz75JAMGDMgrr7ySJDnrrLNy1FFHFVb/5ptvntatWyep+9Evs2bNylNPPbXIMYurvjgDNI2GjjU1ueGGG8rXL0UnfxYVaxa8+8LSzLGA+i1LnzfzGWBpVK/J1reOm/y/tdwlXcd9/vnnywkT++yzT/numUDzVdTfexoq1jz//PPlO/Duvvvu6dq1a73HAMWrXr9J0mBfIK2vjcac08yZMyevv/56rX0Bmh9JmQBfU/vss095+6qrrqqxzLx588qPyuvcuXP69++/2O3su+++SZJJkyYt9Oiqr7rtttvK29tuu+1it3PLLbfkhRdeSJL86Ec/SufOnRfav+A3oGt71Ge1BZMtavrmNLBsGjVqVPluMhtuuOES1VFfrEn+X9xLFo5tX7W0cQ+Yb8aMGdl9993z7LPPJklOOeWU/PKXvyy0jQ4dOmTHHXdMkjz44IN5//33ayx322235dNPP02SJX6UcX1x5p133kmpVKrzX79+/crlq39WfQdfYMk0RqypSfX1WKtWrSp+THElKpnTVKL6EcrJ/MSrtddeu6guAjW45ZZbytuLc02zxhpr1Dt/WPCOKv369Sv/bNiwYUvUzyJiDFCcYcOG1RsDTj311HL5hx9+uPzzNdZYo9H7W70m+9JLL2XatGm1lnvppZfy8ccfL3TM4jrllFPK2z/72c+WqA5gvsaKNYvz955HH300yfy7e3+1jYaKNdXXccn8u44Dje+tt97K//7v/yZJ1lprrQa7McYll1xS3l5wTbZaY85phg8fXl6brqkvQPMjKRPga2qLLbYoJwFdccUVGTly5CJlzj333PK3hH/+858v8i3hYcOGpaqqKlVVVTnttNNqbOfYY49N27ZtkyT/9V//lc8//3yRMtddd10eeeSRJPO/NdizZ89Fyrz33nu1juVf//pXhg4dmiRZccUVc+aZZy5SZpNNNilPuP/2t7/loYceqrGuZ599NhdffHGSZIUVVsgOO+xQa7tA46gv1jz99NPlBInajB8/fqEFsMGDB9dYbmljTZLsscce5UeLnn322XnttdcWKTNmzJicc845SeY/gvCHP/xhnf0HajZr1qwMHDgwTzzxRJL585Xf/va3i11PJXOaE044Icn8bxwfddRRmTt37kL7J0+eXE7Q6ty5czlefFURcQZoXI0Zaxb08ssv57nnnkuS7Lrrrgs9trg+SxtrJk+enL/97W91tjFz5sz8+Mc/zocffphk/hdTVlhhhYr7CPw/w4YNy8yZM+ssc9555+Uf//hHkvlJltVPQFmwjsWJMUvDfAa+uRor1lTfYffLL7/McccdV+OjOGfOnJn/+q//Kv9/jz32WKTMp59+WmsCRKlUysknn1yOrf/xH//hS7PQTNQXa3bfffdUVVUlSX73u98tdDfxBV166aX597//nST5/ve/v8gdK4uKNQuaO3dubrzxxiRJ165ds/vuu9dZHlh8d911V513npw0aVL222+/8p0na3rKSX1xZvTo0Rk7dmyd/bjkkktyxRVXJEm6detW45f0i4gzU6dOLf8dvTZPP/10jjnmmCTzk9CPPPLIOssDzYNntgJ8jZ1//vnZeuut88UXX2SXXXbJySefnP79++eLL77I8OHDc+mllyZJ+vTpk+OPP36J2lh99dXzm9/8Jr/4xS/yzDPPZIsttsgvfvGLbLDBBvnkk09y2223lZMgO3bsmPPOO6/Genbfffd06NAhP/rRj7LRRhulXbt2GT9+fO68884MGzYsc+bMSZs2bXLDDTdklVVWWeT4Fi1a5Pe//30OOeSQzJ07N7vuumuOOOKI7LnnnllllVXy8ccf54EHHsgFF1yQGTNmJElOOukkd3OApfT4448vdOE6efLk8vbYsWMXuevKoYceuthtvPLKKznssMOy1VZbZc8998zGG29cTloYP358Hn744Vx11VX55JNPkiQ77bRTDjvssBrrWtpYk8yPNxdddFF23HHHfPrpp9lqq63yy1/+sny3mREjRuTss8/O9OnTkyQXXHCBBAZYQgcddFAeeOCBJMkOO+yQww8/PC+99FKt5Vu3bp0+ffosUVs77LBDDjzwwAwfPjx33nlndt555xx77LHp0aNHRo8end/97nflBIWzzjorXbp0qbGeIuIM0LgaM9Ys6Oqrry5vL+7dVZY21kyfPj377bdf1llnney7777ZYoststpqq6VNmzaZPHlynn766VxxxRV56623kiSrrbZazj777KUbMHyDnXbaaTn++OOz7777Zptttsnaa6+d9u3b57PPPsvo0aNz/fXXlxPDW7duncsuu2yJH2lXhKLmM7feemv5uiiZf/1Y03Yy/4+cP/jBD4ofDFC46dOn59Zbb13oZwuuDd16661ZaaWVyv/feOONs/HGGy9U/rjjjssVV1yRDz/8MFdddVXeeOONHHnkkVl//fUzd+7cPPfcc/nLX/5SfmRo3759a1xTev3117PddtvlgAMOyG677Za11lorc+bMycsvv5zLL788Tz31VJL5X+i/4IILCjoDQENbf/31c9hhh+XKK6/M+PHjs8kmm+TYY4/Ntttumw4dOmTcuHEZPnx4brjhhiRJy5Yta/yiSFGxZkH3339/Jk6cmGT+teRXb3YCLL1jjjkms2fPzr777pstt9wya6yxRpZ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" ] @@ -528,23 +754,32 @@ "for ue in [True, False]:\n", " for mu in [0.1,0.2,1,10]:\n", " print(\"mu=\",mu,\"useExco=\",ue)\n", + "\n", " E, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[ue])\n", + " out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[ue])\n", "\n", " # plot landscape\n", - " _=getfig(E)\n", + " _=getfig(E,ng=m)\n", " pl.plot(x0[0],x0[1],'ro')\n", + " pl.plot(xb[0],xb[1],'wx')\n", "\n", " # plot histogram\n", " md=job.result().get_counts()[int(ji)]\n", " pl.figure()\n", " pl.bar([k[::-1] for k in md.keys()], md.values())\n", + " pl.ylim([0,1])\n", + "\n", + " # plot histogram\n", + " md=job_b.result().get_counts()\n", + " pl.figure()\n", + " pl.bar([k[::-1] for k in md.keys()], md.values())\n", " pl.ylim([0,1])" ] }, { "cell_type": "code", - "execution_count": 75, - "id": "8ca9230b", + "execution_count": 34, + "id": "22a07150", "metadata": {}, "outputs": [ { @@ -552,14 +787,30 @@ "output_type": "stream", "text": [ "mu= 0.1\n", + "Optimization terminated successfully.\n", + " Current function value: 0.550010\n", + " Iterations: 19\n", + " Function evaluations: 37\n", "mu= 0.2\n", + "Optimization terminated successfully.\n", + " Current function value: 0.550020\n", + " Iterations: 19\n", + " Function evaluations: 37\n", "mu= 1\n", - "mu= 10\n" + "Optimization terminated successfully.\n", + " Current function value: 0.541002\n", + " Iterations: 58\n", + " Function evaluations: 102\n", + "mu= 10\n", + "Optimization terminated successfully.\n", + " Current function value: 0.549895\n", + " Iterations: 37\n", + " Function evaluations: 69\n" ] }, { "data": { - "image/png": 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+ "image/png": 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" ] @@ -571,7 +822,7 @@ }, { "data": { - "image/png": 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" ] @@ -604,6 +891,18 @@ "needs_background": "light" }, "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ @@ -612,37 +911,172 @@ "for mu in [0.1,0.2,1,10]:\n", " print(\"mu=\",mu)\n", " E, x0, job, ji = qaoa.getElandscape(backend,mu)\n", + " out, job_b, xb = qaoa.getlocalmin(x0, backend, mu)\n", "\n", " # plot histogram\n", " md=job.result().get_counts()[int(ji)]\n", " pl.figure()\n", " pl.bar([k[::-1] for k in md.keys()], md.values())\n", + " pl.ylim([0,1])\n", + " \n", + " # plot histogram\n", + " md=job_b.result().get_counts()\n", + " pl.figure()\n", + " pl.bar([k[::-1] for k in md.keys()], md.values())\n", " pl.ylim([0,1])" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "98286d13", "metadata": {}, "outputs": [], "source": [ "# job.result().get_counts(),\n", - "job.result().results[int(ji)].data.statevector" + "# job.result().results[int(ji)].data.statevector" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "id": "5ad02c62", "metadata": {}, "outputs": [], + "source": [ + "# qaoa=QAOASwe(CR, FR)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "db872d90", + "metadata": {}, + "outputs": [], + "source": [ + "# qc=qaoa.createCircuit(np.array((1.4,2.0)), 1.0,1,barrier=True)\n", + "# qc.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "bd442ac2", + "metadata": {}, + "outputs": [], + "source": [ + "# job = execute(qc, backend)\n", + "# qaoa.measurementStatistics(job,1,1,mu=1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f959073a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "80043cf4", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "616dcd15", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f424cedd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6cd46791", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a91a7fa4", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f510b25d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "15243e59", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "36b8ad2c", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1496f3f6", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "062003cc", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a5fb941b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "caf908f1", + "metadata": {}, + "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, - "id": "ca140ae2", + "id": "33fbf3de", "metadata": {}, "outputs": [], "source": [] diff --git a/newbeginning.py b/newbeginning.py index 04c0a9b..e507632 100644 --- a/newbeginning.py +++ b/newbeginning.py @@ -1,8 +1,9 @@ import numpy as np -from qiskit import * - import itertools +from qiskit import * +from scipy.optimize import minimize + class QAOAbase: def __init__(self, CR, FR): @@ -23,7 +24,7 @@ def cost(self, binstring,mu=1, plotsolutions=False): print(x, (self.CR @ x)) return ( (self.CR @ x) + mu *excost ) - def measurementStatistics(self, job, nb, ng, nd=None, mu=1): + def measurementStatisticsDebug(self, job, nb, ng, nd=None, mu=1, usestatevec=True): costs=self.cost_vector(mu) if self.num_params==2: E=np.zeros((nb,ng)) @@ -31,7 +32,15 @@ def measurementStatistics(self, job, nb, ng, nd=None, mu=1): for j in range(ng): statevector = job.result().results[j+ng*i].data.statevector probs = np.abs(statevector)**2 - E[i,j] = costs @ probs[::-1] + res_dict = job.result().get_counts() + print(probs) + print(costs) + print(res_dict) + e1=0 + for key in res_dict: + e1 += res_dict[key]*self.cost(key, mu=mu) + e2=costs @ probs + print("E=",e1,e2) else: E=np.zeros((nb,ng,nd)) for i in range(nb): @@ -44,6 +53,43 @@ def measurementStatistics(self, job, nb, ng, nd=None, mu=1): return E + def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestatevec=True): + if usestatevec: + costs=self.cost_vector(mu) + if nb==None and ng==None and nd==None: + E=0 + if usestatevec: + statevector = job.result().results[0].data.statevector + probs = np.abs(statevector)**2 + E = costs @ probs + else: + res_dict = job.result().get_counts() + for key in res_dict: + E += res_dict[key]*self.cost(key, mu=mu) + elif self.num_params==2: + E=np.zeros((nb,ng)) + for i in range(nb): + for j in range(ng): + if usestatevec: + statevector = job.result().results[j+ng*i].data.statevector + probs = np.abs(statevector)**2 + E[i,j] = costs @ probs + else: + res_dict = job.result().get_counts()[j+ng*i] + for key in res_dict: + E[i,j] += res_dict[key]*self.cost(key, mu=mu) + else: + E=np.zeros((nb,ng,nd)) + for i in range(nb): + for j in range(ng): + for l in range(nd): + statevector = job.result().results[l+nd*(j+ng*i)].data.statevector + probs = np.abs(statevector)**2 + E[i,j,l] = costs @ probs + # print(costs,probs) + return E + + def cost_vector(self, mu, plotsolutions=False): F, R = np.shape(self.FR) state_strings = np.array([''.join(i) for i in itertools.product('01', repeat= R)]) @@ -126,6 +172,41 @@ def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np. return E, x0, job, index + global g_it + global g_jobs + global g_values + global g_x + + def getval(self, x, backend, mu, useExco, depth, sv): + global g_it, g_jobs, g_values, g_x + g_it+=1 + + if useExco is not None: + qc = self.createCircuit(x, useExco, sv=sv) + else: + qc = self.createCircuit(x, mu, depth, sv=sv) + + job = execute(qc, backend) + + val = self.measurementStatistics(job, mu=mu) + + g_values[str(g_it)] = val + g_jobs[str(g_it)] = job + g_x[str(g_it)] = x + return val + + def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv=None, method="Nelder-Mead"): + + global g_it, g_jobs, g_values, g_x + g_it=0 + g_jobs={} + g_values={} + g_x={} + + out = minimize(self.getval, x0=x0, method=method, args=(backend, mu, useExco, depth, sv), options={'xatol': 1e-2, 'fatol': 1e-1, 'disp': True})#, constraints=cons) + ind = min(g_values, key=g_values.get) + return out, g_jobs[ind], g_x[ind] + import matplotlib.pyplot as pl From 20b4cf96e5bb495993512d90153a6294897edf36 Mon Sep 17 00:00:00 2001 From: Franz Fuchs Date: Fri, 1 Oct 2021 08:49:31 +0200 Subject: [PATCH 06/12] update --- newbeginning.ipynb | 72 ++++--------- newbeginning.py | 216 ++++++++++++++++++-------------------- newbeginning_unittests.py | 76 ++++++++++++++ 3 files changed, 200 insertions(+), 164 deletions(-) create mode 100644 newbeginning_unittests.py diff --git a/newbeginning.ipynb b/newbeginning.ipynb index ad255a2..8edce17 100644 --- a/newbeginning.ipynb +++ b/newbeginning.ipynb @@ -2,19 +2,10 @@ "cells": [ { "cell_type": "code", - "execution_count": 22, + "execution_count": 1, "id": "a88a8c77", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - } - ], + "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", @@ -148,25 +139,13 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 23, "id": "d228f979", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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" ] @@ -187,11 +166,11 @@ "pl.legend()\n", "pl.grid()\n", "\n", - "pl.figure(figsize=(10,6))\n", - "for i in range(e.shape[0]):\n", - " pl.plot(x,es[i,:])\n", - "pl.xlabel(\"exco weight\")\n", - "pl.grid()" + "# pl.figure(figsize=(10,6))\n", + "# for i in range(e.shape[0]):\n", + "# pl.plot(x,es[i,:])\n", + "# pl.xlabel(\"exco weight\")\n", + "# pl.grid()" ] }, { @@ -780,7 +759,9 @@ "cell_type": "code", "execution_count": 34, "id": "22a07150", - "metadata": {}, + "metadata": { + "scrolled": false + }, "outputs": [ { "name": "stdout", @@ -928,46 +909,35 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "98286d13", "metadata": {}, "outputs": [], - "source": [ - "# job.result().get_counts(),\n", - "# job.result().results[int(ji)].data.statevector" - ] + "source": [] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "5ad02c62", "metadata": {}, "outputs": [], - "source": [ - "# qaoa=QAOASwe(CR, FR)" - ] + "source": [] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "db872d90", "metadata": {}, "outputs": [], - "source": [ - "# qc=qaoa.createCircuit(np.array((1.4,2.0)), 1.0,1,barrier=True)\n", - "# qc.draw()" - ] + "source": [] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "bd442ac2", "metadata": {}, "outputs": [], - "source": [ - "# job = execute(qc, backend)\n", - "# qaoa.measurementStatistics(job,1,1,mu=1)" - ] + "source": [] }, { "cell_type": "code", @@ -1098,7 +1068,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.9.5" } }, "nbformat": 4, diff --git a/newbeginning.py b/newbeginning.py index e507632..92ef7f6 100644 --- a/newbeginning.py +++ b/newbeginning.py @@ -15,7 +15,7 @@ def createCircuit(self): def cost(self, binstring,mu=1, plotsolutions=False): # Reverse string since qiskit uses ordering MSB ... LSB - x = np.array(list(map(int,binstring[::-1]))) + x = np.array(list(map(int,binstring))) if self.CR is None: return np.sum((1 - (self.FR @ x))**2) else: @@ -24,35 +24,6 @@ def cost(self, binstring,mu=1, plotsolutions=False): print(x, (self.CR @ x)) return ( (self.CR @ x) + mu *excost ) - def measurementStatisticsDebug(self, job, nb, ng, nd=None, mu=1, usestatevec=True): - costs=self.cost_vector(mu) - if self.num_params==2: - E=np.zeros((nb,ng)) - for i in range(nb): - for j in range(ng): - statevector = job.result().results[j+ng*i].data.statevector - probs = np.abs(statevector)**2 - res_dict = job.result().get_counts() - print(probs) - print(costs) - print(res_dict) - e1=0 - for key in res_dict: - e1 += res_dict[key]*self.cost(key, mu=mu) - e2=costs @ probs - print("E=",e1,e2) - else: - E=np.zeros((nb,ng,nd)) - for i in range(nb): - for j in range(ng): - for l in range(nd): - statevector = job.result().results[l+nd*(j+ng*i)].data.statevector - probs = np.abs(statevector)**2 - E[i,j,l] = costs @ probs[::-1] - # print(costs,probs) - return E - - def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestatevec=True): if usestatevec: costs=self.cost_vector(mu) @@ -61,11 +32,11 @@ def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestateve if usestatevec: statevector = job.result().results[0].data.statevector probs = np.abs(statevector)**2 - E = costs @ probs + E = costs @ probs[::-1] else: res_dict = job.result().get_counts() for key in res_dict: - E += res_dict[key]*self.cost(key, mu=mu) + E += res_dict[key]*self.cost(key[::-1], mu=mu) elif self.num_params==2: E=np.zeros((nb,ng)) for i in range(nb): @@ -77,7 +48,7 @@ def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestateve else: res_dict = job.result().get_counts()[j+ng*i] for key in res_dict: - E[i,j] += res_dict[key]*self.cost(key, mu=mu) + E[i,j] += res_dict[key]*self.cost(key[::-1], mu=mu) else: E=np.zeros((nb,ng,nd)) for i in range(nb): @@ -231,92 +202,111 @@ def getfig(E, beta_max=np.pi,gamma_max=2*np.pi,nb=20,ng=40): def getSpectrum(CR, FR): - I=np.array((1,1)) - Z=np.array((1,-1)) - - R=CR.shape[0] - - H_cost = np.zeros(2**R) - H_exco = np.zeros(2**R) - for r in range(R): - for i in range(R): - if i==0: - if i==r: - Zr = Z - else: - Zr = I - else: - if i==r: - Zr = np.kron(Z,Zr) - else: - Zr = np.kron(I,Zr) - H_cost += 0.5*CR[r]*Zr - H_exco += 0.5 * FR[:,r] @ (np.sum(FR,axis = 1) - 2)*Zr + Ham=False + if Ham: + I=np.array((1,1)) + Z=np.array((1,-1)) - for r in range(R): - for r_ in range(r+1,R): + R=CR.shape[0] + + H_cost = np.zeros(2**R) + H_exco = np.zeros(2**R) + for r in range(R): for i in range(R): if i==0: - if i==r or i==r_: - ZZrr_ = Z + if i==r: + Zr = Z else: - ZZrr_ = I + Zr = I else: - if i==r or i==r_: - ZZrr_ = np.kron(Z,ZZrr_) + if i==r: + Zr = np.kron(Z,Zr) else: - ZZrr_ = np.kron(I,ZZrr_) - Jrr_ = 0.5 * FR[:,r] @ FR[:,r_] - H_exco+=Jrr_*ZZrr_ - - n=100 - e = np.zeros((2**R,n)) - x=np.linspace(0,4,n) - # E=[] - for i in range(n): - e[:,i]=-H_cost+x[i]*H_exco - # if i==0: - # for j in range(len(E)): - # found=False - # if abs(E[j]-e[j,])<1e-8 - # e[:,i] /=np.max(np.abs(e[:,i])) - - emax=np.max(e,axis=0) - emin=np.min(e,axis=0) - - es = np.zeros((2**R,n)) - for i in range(2**R): - es[i,:]=(e[i,:]-emin)/(emax-emin) - - ue={} - lab={} - j=0 - ci=33 - for i in range(2**R): - used=False - ik=None - # print() - # print("new i",i) - # print(ue) - for key in ue: - # for j in range(len(ue)): - # print("key=", key, e[i,0], ue[key][0]) - # print(ue) - if abs(e[i,ci]-ue[key][ci])<1e-8: - used=True - ik=key - break - # print("used=", used) - if used: - print(e[i,ci], "already used") - lab[ik]+=", "+"{0:b}".format(i).zfill(R) - else: - j+=1 - ue[j] = e[i,:] - lab[j]="{0:b}".format(i).zfill(R) - # for j in range(len(ue)): - # pl.plot(x,ue[i,:], label="{0:b}".format(i).zfill(3)) - return x, e, es, ue, lab + Zr = np.kron(I,Zr) + H_cost += 0.5*CR[r]*Zr + H_exco += 0.5 * FR[:,r] @ (np.sum(FR,axis = 1) - 2)*Zr + + for r in range(R): + for r_ in range(r+1,R): + for i in range(R): + if i==0: + if i==r or i==r_: + ZZrr_ = Z + else: + ZZrr_ = I + else: + if i==r or i==r_: + ZZrr_ = np.kron(Z,ZZrr_) + else: + ZZrr_ = np.kron(I,ZZrr_) + Jrr_ = 0.5 * FR[:,r] @ FR[:,r_] + H_exco+=Jrr_*ZZrr_ + + n=100 + e = np.zeros((2**R,n)) + x=np.linspace(0,4,n) + # E=[] + for i in range(n): + e[:,i]=-H_cost+x[i]*H_exco + # if i==0: + # for j in range(len(E)): + # found=False + # if abs(E[j]-e[j,])<1e-8 + # e[:,i] /=np.max(np.abs(e[:,i])) + + emax=np.max(e,axis=0) + emin=np.min(e,axis=0) + + es = np.zeros((2**R,n)) + for i in range(2**R): + es[i,:]=(e[i,:]-emin)/(emax-emin) + + ue={} + lab={} + j=0 + ci=33 + for i in range(2**R): + used=False + ik=None + # print() + # print("new i",i) + # print(ue) + for key in ue: + # for j in range(len(ue)): + # print("key=", key, e[i,0], ue[key][0]) + # print(ue) + if abs(e[i,ci]-ue[key][ci])<1e-8: + used=True + ik=key + break + # print("used=", used) + if used: + print(e[i,ci], "already used") + lab[ik]+=", "+"{0:b}".format(i).zfill(R) + else: + j+=1 + ue[j] = e[i,:] + lab[j]="{0:b}".format(i).zfill(R) + # for j in range(len(ue)): + # pl.plot(x,ue[i,:], label="{0:b}".format(i).zfill(3)) + return x, e, es, ue, lab + else: + + qaoa = QAOAbase(CR, FR) + n=2 + mumax=4 + R=CR.shape[0] + ue = np.zeros((2**R,n)) + x=np.linspace(0,mumax,n) + + ue={} + lab={} + for i in range(2**R): + binstr="{0:b}".format(i).zfill(R) + lab[i]=binstr + ue[i]=np.array((qaoa.cost(binstr,0), qaoa.cost(binstr,mumax))) + return x, ue,ue,ue,lab + class QAOAChoose(QAOAbase): diff --git a/newbeginning_unittests.py b/newbeginning_unittests.py new file mode 100644 index 0000000..c2391ba --- /dev/null +++ b/newbeginning_unittests.py @@ -0,0 +1,76 @@ +import unittest +from newbeginning import * +import numpy as np +from qiskit import * + +class QAOA00(QAOAbase): + def createCircuit(self): + F, R = np.shape(self.FR) + qc = QuantumCircuit(R) + return qc + +class QAOA10(QAOAbase): + def createCircuit(self): + F, R = np.shape(self.FR) + qc = QuantumCircuit(R) + qc.x(0) + return qc +class QAOA01(QAOAbase): + def createCircuit(self): + F, R = np.shape(self.FR) + qc = QuantumCircuit(R) + qc.x(1) + return qc +class QAOA11(QAOAbase): + def createCircuit(self): + F, R = np.shape(self.FR) + qc = QuantumCircuit(R) + qc.x(0) + qc.x(1) + return qc + +Aer.backends() +backend = Aer.get_backend('statevector_simulator') + +class TestQAOA(unittest.TestCase): + + def test_qaoa(self): + + FR = np.array([[1, 1], + [1, 1]]) + CR=np.array([1,10]) + # Normalize weights + CR = CR/np.max(CR) + + qaoa = QAOA00(CR, FR) + print("cost(00)=", qaoa.cost('00', mu=0)) + print("cost(01)=", qaoa.cost('01', mu=0)) + print("cost(10)=", qaoa.cost('10', mu=0)) + print("cost(11)=", qaoa.cost('11', mu=0)) + + qaoa = QAOA00(CR, FR) + circuit = qaoa.createCircuit() + job = execute(circuit, backend) + res_dict = job.result().get_counts() + print("dict=",res_dict) + statevector = job.result().results[0].data.statevector + print(statevector) + + print(qaoa.measurementStatistics(job, mu=0, usestatevec=True)) + print(qaoa.measurementStatistics(job, mu=0, usestatevec=False)) + + qaoa = QAOA01(CR, FR) + circuit = qaoa.createCircuit() + job = execute(circuit, backend) + res_dict = job.result().get_counts() + print("dict=",res_dict) + statevector = job.result().results[0].data.statevector + print(statevector) + + print(qaoa.measurementStatistics(job, mu=0, usestatevec=True)) + print(qaoa.measurementStatistics(job, mu=0, usestatevec=False)) + + + +if __name__ == '__main__': + unittest.main() From 9e081b1dcc0792d8330c78472417545e04d1c6bc Mon Sep 17 00:00:00 2001 From: Franz Georg Fuchs Date: Fri, 1 Oct 2021 16:14:00 +0200 Subject: [PATCH 07/12] update --- newbeginning.ipynb | 461 +++++++++++++++++++++++++++++++++++--- newbeginning.py | 56 ++--- newbeginning_unittests.py | 136 ++++++----- 3 files changed, 531 insertions(+), 122 deletions(-) diff --git a/newbeginning.ipynb b/newbeginning.ipynb index 8edce17..dd672ef 100644 --- a/newbeginning.ipynb +++ b/newbeginning.ipynb @@ -139,13 +139,13 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 10, "id": "d228f979", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -175,7 +175,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 11, "id": "b6491723", "metadata": { "scrolled": false @@ -190,25 +190,21 @@ " Current function value: 0.180217\n", " Iterations: 11\n", " Function evaluations: 23\n", - "[1.49619213 2.32324746] [1.49619213 2.32324746]\n", "mu= 0.2\n", "Optimization terminated successfully.\n", " Current function value: 0.332604\n", " Iterations: 9\n", " Function evaluations: 19\n", - "[1.2908084 2.21516126] [1.2908084 2.21516126]\n", "mu= 1\n", "Optimization terminated successfully.\n", " Current function value: 0.523343\n", " Iterations: 10\n", " Function evaluations: 21\n", - "[5.62375189 1.11895102] [5.62375189 1.11895102]\n", "mu= 10\n", "Optimization terminated successfully.\n", " Current function value: 0.602647\n", " Iterations: 10\n", - " Function evaluations: 22\n", - "[5.57892859 1.12833491] [5.57892859 1.12833491]\n" + " Function evaluations: 22\n" ] }, { @@ -380,7 +376,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 12, "id": "4ac72a43", "metadata": { "scrolled": false @@ -395,43 +391,36 @@ " Current function value: 0.550011\n", " Iterations: 12\n", " Function evaluations: 21\n", - "[0.77800629 0.3925917 ] [0.77800629 0.3925917 ]\n", "mu= 0.2 useExco= True\n", "Optimization terminated successfully.\n", " Current function value: 0.550022\n", " Iterations: 12\n", " Function evaluations: 21\n", - "[0.77800629 0.3925917 ] [0.77800629 0.3925917 ]\n", "mu= 1 useExco= True\n", "Optimization terminated successfully.\n", " Current function value: 0.550109\n", " Iterations: 12\n", " Function evaluations: 21\n", - "[0.77800629 0.3925917 ] [0.77800629 0.3925917 ]\n", "mu= 10 useExco= True\n", "Optimization terminated successfully.\n", " Current function value: 0.550859\n", " Iterations: 10\n", " Function evaluations: 21\n", - "[0.78187001 1.96625657] [0.78187001 1.96625657]\n", "mu= 0.1 useExco= False\n", "Optimization terminated successfully.\n", " Current function value: 0.127283\n", " Iterations: 11\n", " Function evaluations: 22\n", - "[4.71872744 0.78586585] [4.71872744 0.78586585]\n", "mu= 0.2 useExco= False\n", "Optimization terminated successfully.\n", " Current function value: 0.181757\n", " Iterations: 9\n", " Function evaluations: 19\n", - "[4.73056665 0.78595423] [4.73056665 0.78595423]\n", "mu= 1 useExco= False\n", "Optimization terminated successfully.\n", " Current function value: 0.615001\n", " Iterations: 12\n", " Function evaluations: 24\n", - "[4.7976444 0.78498201] [4.7976444 0.78498201]\n", "mu= 10 useExco= False\n" ] }, @@ -439,7 +428,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/tmp/ipykernel_650769/3637396732.py:24: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", + "/tmp/ipykernel_17452/3425082626.py:23: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", " pl.figure()\n" ] }, @@ -450,8 +439,7 @@ "Optimization terminated successfully.\n", " Current function value: 5.457587\n", " Iterations: 10\n", - " Function evaluations: 21\n", - "[4.87688397 0.78487206] [4.87688397 0.78487206]\n" + " Function evaluations: 21\n" ] }, { @@ -757,7 +745,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 13, "id": "22a07150", "metadata": { "scrolled": false @@ -909,24 +897,228 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "id": "98286d13", "metadata": {}, "outputs": [], - "source": [] + "source": [ + "def INTERP_init(params_prev_step):\n", + " \"\"\"\n", + " Takes the optimal parameters at level p as input and returns the optimal inital guess for\n", + " the optimal paramteres at level p+1. Uses the INTERP formula from the paper by Zhou et. al\n", + " :param params_prev_step: optimal parameters at level p\n", + " :return:\n", + " \"\"\"\n", + " print(\"P=\",params_prev_step)\n", + " p = params_prev_step.shape[0]\n", + " params_out_list = np.zeros(p+1)\n", + " params_out_list[0] = params_prev_step[0]\n", + " for i in range(2, p + 1):\n", + " # Next line is clunky, but written this way to accommodate the 1-indexing in the paper\n", + " params_out_list[i - 1] = (i - 1) / p * params_prev_step[i-2] + (p - i + 1) / p * params_prev_step[i-1]\n", + " params_out_list[p] = params_prev_step[p-1]\n", + " return params_out_list" + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 35, + "id": "2ccfe6e4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.615001\n", + " Iterations: 12\n", + " Function evaluations: 24\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "mu=1\n", + "\n", + "E, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False])\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False])\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 39, "id": "5ad02c62", "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.550109\n", + " Iterations: 12\n", + " Function evaluations: 21\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "mu=1\n", + "\n", + "E, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[True])\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[True])\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "id": "688dd638", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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JycW0FNxrSynwqWU01MRxsd+Et97TjKb60upA9Xo9mpqaxGazRCIBr9eL9fV1hEIhmM1m0XGwWCz7ouTVRrVkFPKROQODalRTKJRyUGI2QrlrZCqVwsTEBIxGI0ZGRkTbq1SQrhowGo2ieAghRFRUEsRDampqshSVBKrZUajGNZLn+aLrY67jIKgOarVaUVXpbuKudxRKLTXKpRwjmFtqlKuMoLaikoA7yOOz34zBH4xnfV+jt8GbsOGnk8BPJsJguE201rIYPGPFW0aaUWMpbZqz0WhEa2srWltbRaPo9XqxuLiIaDSKmpoa0XEAqi8aVK3GGShuoKlGNYVCkUKuNHg5m75y1rFAIICJiQmcOHFCVODLPO9hOApqX5NhGFgsFlgsFlE8JBwOw+fzieIhdrsdTqcTJpNJ1XsplWpdIzmOK7o+5pMrv5vnHN3VjkKptZb5KNVRSCQSGBsbQ21trVhqlEslDOGNWR5fezoElmWLHscwGkBXC1cY+N6rwHde9kJPguhqInjjBQfuu9oAfQkNWZlGsaOjQzSKXq8X09PTCAQCWFxcRENDA5xOJ/T60pwTJanWaAkAWVO1D5KaYxgG3/zmN/H4449X7YJEoVCURenZCKWskYQQrK6uwuVyiaVGuRyGo3AYG0OGYWCz2WCz2faJh6ytrSEajWJubk4R8RClqNY1Uu76eJDjsL29jampKfz6r/+64vdaDRz+k3QIlFtrmY9S6i+FUqPTp0+LUx/zobYh/MaPUvjpzRAA+dfQaHTgUIclD7D0U+CvfrQNszaE/jYtHhx04vLpupLe30yj2N3djVu3bqGhoQHhcBhra2sghGQpKpWqFlEO1RotAcoz0Pkch6997Wt4/PHHFbo7CoVSzagxG0HuGplKpTA5OQmDwYDh4eGCNl7u+ljNdlsOmeIhTU1NWFpaQl1dXdWJh1Tje13u+pjrOCwsLOD69evUUTguKFFrmQ85aVVCCBYXF+HxeDA4OHhglFYtRyGeJPjs38Sxvh1V7JwarREJGDG5CUxuAvw/rONE3SZ+/3fuKfvctbW1Yn8Dy7Lw+/1iqZJWqxWNot1ur4hRrNZoCaDsvTEMA5ZlVR0WRKFQDh8l+vUKISejEAgEMDk5id7eXrS2th54Xjnr42GqHqmFoC5USDxkfn4eer0+S1GpGjfwlUJORuEgGIYRS6WPK3eNo6BkrWU+pBrBRCKB8fFx2O12DA0NSboPNYzS0haPz/9dBPF4UtHzZsLzHHbXXodvaRNAeY5CbhRIp9OhoaFBzMQkk0n4fD5sbW1hdnYWRqNRNIo1NTWqGMVqj0wpPdiIQqEcX5Tq1yuElGAaIQRra2vY2NjApUuXYLVaJZ33brdP+V5/rnhIPB6Hz+fD+vo6wuEwzGazuEbmioccd5QO8gmN5seVu8JREGotX3/9dVy6dEmVD4QUR8Hr9eL27ds4deqUKIcmBaUN4Q9vcPjWT4MgKjZIp5IRuOZ/gkTEg7ra/XWlSmMwGNDc3Izm5mYAENUiVldXEQ6HYbVas9QilHgGeJ6vijrQfCj5vNztizCFctzhOA4bGxtgWRZtbW2HskayLIuJiQnodDqMjIzIqiGvhNhHtXPQ38xkMmWJh0SjUfh8PlE8xGaziWvkce9FUzKjAKQdBSlO7VGlOnc5CpJZaxmNRlXzmoulP4VSI7fbLanUSM655cDxBF/6pxQm5kNln6sYsdA2XPM/BccKzT7lv+dyo/dmsxlmsxltbW0ghCASicDn82F+fh6xWAw2m01UVCq1pKbaMwpKokaEkUKhHC6ZpUYsyyKZTB7KGhkMBjExMYGenh60tbXJOu9hNTNXUwBF7lrEMAysViusVqsoHhIKheDz+TA9PY1kMgmHwyE6DtUgHqIkamQU7PbS5k0dBY6to6BmrWU+CkU1kskkxsfHUVNTg+Hh4ZLuQymj9OK0HgtbOuiNAJeKg+dTZZ8zF//2beyuvQpk3K8Sy045r59hGNTU1KCmpgadnZ2iWoTP58PU1BRYlhWNYm1trWSjWM09CkrCsuyhNItTKBT1yO3X0+l0iMViql0vX0aBEIL19XWsr6/j4sWLJZVv3K3NzErCMAzsdjvsdju6u7vB8zwCgQB8Pl/ViIcoiRoZhfb2dsXOV20cS0dB7VrLfOQzgsJG9OTJk2KdYClITa3GYjGMj4+DYRhxTHx27SEDncEMnSFdCsTzLLhUDGwqDi4VAyGlp295nsXO8ksIeRbyvICST5t9GobBd58PYWd3F2+9pwldraXVBGaqRfT09IDjONEorqysAECWWkQhg1KNUycB5RfC455WpVDuJnL79YQ1UomhocXIXcdYlsXk5CS0Wq2sUqN855XiKPA8j9nZWWxvb4sTj+vq6o5FY6/SNl+j0YhrIJAtHrK0tJT180qJhyiJ0mXDQnnzceXYOQpCFqGQrJta0YTMtCohBEtLS9jd3cXVq1ezJiiWghRDmCm1qtPpxNrDWCwmDi4jXLZ6hEajg8Zog95oAwBwbDLtOLBxcKk4pMqlppIRuOZ+gkTUU9LrkwLHEfzxP7C4vZQE4MCLs3GA3UWjPYnLJ8142xua4XSUVkKk1WpFxwpIP0M+nw9utxsLCwvQ6XRZahGCURSUJqoNpTMdx90IUih3C8VmI2g0GnAcp9q1Mx2RUCiE8fFxdHd3lx2JlbKex+NxjI2Nob6+Hvfcc4+oCLS+vo5QKASLxSKuAeWu14eFms5ONYiHKInSGQWqenREkFJqJBgqNdJmwmZeKDWyWq0llxoVOnc+MqVWh4aGoNPpwLJs1jRHYSjLpmsdwEDB62h1Bmh1BhjgACE8wr5VJKI+MIwGepMtPWwth2hwC1sLP8voR8hz/7JfcTahKMHfvNqPUDR855wMA+jtcMeAZ8eA67cC0PBBtNdzGDlrwy8NN8FkLO3x1ul0aGxsFBvOE4kEfD4fNjc3EQqFxGhU5sCVakJpR+G4G0EK5W7goNkIWq1W1YyCEExbX1/H6upqyaVGchFERAYGBlBXV4dkMgmj0YiWlha0tLSI/Yter1eceHxQfX419ihUEqniITzPV2WpF10j5XEsHAWpsxG0Wq3inmQmLMvi1VdfLbvUKJdCRimVSmFsbAw1NTWi1GruZOXM2sPtpA4vr0m9pga2uh7Y6nrS10pGEPGvg01GoNEaoDfWpPsRVl/FwZmH0o3EwiaP//53YSSSxSNdjEYLonFiPQCsvwh86xduGJggepuB+y7X4g0XGqDVlmYYchcVwSgGg0EEAoGsRaUaolFKP+M0o0ChHF0yS42K9eupXXoEAKurq7BYLBgZGVFdMY4QguXlZezs7IgiIvnW0czGXqGHLbM+H0jP8KmrqzvUwWXFOOzNeD7xEK/Xi0QigVdffTVLUaka5vHQNVIeR9pRkDsbQS1DKBikRCKB++67L++Y+XLI5ygEg0GMj4/jxIkTaGlpkXSeEvfJAAC9wYraptPiv31bk9hdfUXaL5dov342xuGvrwdL+ptptHqwqMfcLjB3Hfizf3bBqg/jVIcWD4004GxfbUn3xDAMLBYLLBYLQqEQWltbodFo4PP5xGiU3W4XjaLBYCjpOuVAS48oFAogr19PCKSpQTgcxvLyMurq6nDx4kVVrpEJy7IYHx+HyWSSndnPrc9PpVLw+/3Y2dnB3NwcjEYjDAaDuC5XW7T8sBHEQ0wmE9xuNy5fvlxQPMTpdB6KxLjSlSWRSAQ2m02x81UbR9ZRKFZrWQg1DGEqlcL4+DjMZrO4gVSaXEdhfX0da2truHz5sqwNnJJxEK1OusRrKWb0L36QwvNjwRJ+Mz8anQkxYsLoGjC6xoFPrcJpCuBTH+lFfW1pKUOhR8Fms8Fms6Grqws8zyMYDMLn82FjYwMcx2WpRVTCKKqh6HCc06oUynHkoFKjXNQKpG1sbGBlZQWdnZ0VUcsR+h+kTHWWgl6vzypFjcViWFtbg9frxSuvvCL2ANbV1R1atLwaHRbhnoqJh6yurgKAuEYWEw9REo7j6MA1GRxJR0GuARRQ2hAGAgFMTEygv78fzc3NeOGFFxQ7dyZCbSfHcbh9+zZ4nsfw8HDBTWcho5GnxaDqSLIE//VvElhxRVS9DsumMPr6SwgEW0t2FPJF7jUaDWpra1FbW4ve3l5wHAe/3w+fz4fl5WUwDJOlqKRGGpvWX1Iody+lSoMr3aPAcRympqZACMHIyAh2d3dV7+va3NzE8vKyqv0PZrMZ9fX10Gq16OvrQzgchtfrFaPllQ4MAdXpKBRah0oVD6nEvZXKcV8jj5SjUO5sBKUcBUIIVlZWsLW1hStXrqiSRciEYRix1q+trQ2dnZ2iUWBZHjqdtPdBo1Gw4UkFo7Tj5/GZv44iHEkofu5MooFNuBZ+Cp5LwWgoPXohxThrtVrU19ejvr4eAES1DSGNrdfrxcFvSsn00amTFMrdidR+vXwoqXoUDocxPj6Ojo4OdHR0iPeiVg8EIQRTU1NIJpMV6X8QYBhGzCh3d3fvCwwJZUx1dXWw2+1Vt5lXE6nOi1TxEKfTCavVWpVrZCqVOpQy40pxZBwFJWYjKFF6lEqlMDExAaPRiJGRkYo0NkUiEezu7uLy5cuora0Vv/9X1+P48asegA2gq4nggctO3He5vmCpj/aQbJSUv9XoAo+vfCe0rxlbafw7M9hdeRlCA7ZBX/pHoJSohF6vR1NTk9jsHo/H98n0CUYxewaGuvdVjHA4LNbrUiiU6qPQbAQ5KBVIE6L6Fy5cyKrbVqu0KRaLIRqNor29HWfOnKnIZryQwEhuYCiZTKYVBzc3MT09Ldp3QYZVqXs9ShmFgygkHrK8vCyW+JQrHqKmqM1x5Eg4CoIBlFtqlEu5hioQCGBychJ9fX2SG4jLgRCC+fl5eL1edHd3i05CPEnwX74exoorDEADaJ1Y9gDLPwL+8gcuWHQhnOrU4i05TbuaQ7IjB+UxYgngT38AEOgAqOMoEMLDvfYa/Nu3s75vLFFCNX3O8o2zyWRCa2srWltbRZk+YQZGNBrNUoswmaT1haihEd3V1aXY+SgUinLkZtrLWR/LkdkUSmNZls0b1VfDUXC73ZiZmYHRaERPT4+i51YCg8GwT4bV5/Nhfn4e8XhcFL6oq6vLK8N6lFFifcwUDxHk3sPhcNniIUoG08rdlx4FqtpRKLfUKJdSMwqEEKyurmJzcxOXLl0qWoahlGefTCYxNjYGh8OB7u5u8ftLWxw++w0/YvFk3t/T6IyIw4ixNWBsjQOfWkF9TQyX+s3o72kFoG6ZVD5SySRu3rwp1iXmltgkWUBndEBnTM9v4FIJsGwMXCoGnkuVfX2OS2Jr4TlEAxv7fmascEahGJkyfR0dHeIMDJ/Ph+npaSSTyQP1vQF1GrVo6RGFUn2UU2qkJJFIBGNjY2hvb88qjc1ESUdBmB/k9XoxNDSEGzduKHJeNcm17zzPizOO1tfXQQjJ6l+TE+w5ThmFYmSWepUrHlJt71c1U7WOghoGsBRDxbIsJiYmoNfrDxwzr9RAN7/fj8nJSXEew/r6OjiOww9eTeJvnvXJeg0afQ18iRr8dBL4yUQAyfgaQAiMlnpYHe3QVCD9ZjQacP78edEgZk7CdDqd4Mkd54VhNNAZzNAZ0ilFnufS06JTcXBsDISX5+ilEiFszv0YyZg/788NhsPNKBQjcwZGd3f3Pn1vQkiWURSeOzWk345zoxaFctSQOhuhErhcLiwtLeH8+fOw2+0Fj1NqSFnm/KDBwUHZr71aNoiZakC9vb37mnoz+9cOmnZcjY6CoAqoJtUgHpJKpY59GVPVOQpK1FoWQm6zVjAYxMTEhGSZtXIdBUII1tbWsLm5mdMkzeAbP7NiZs1T0nkFGEYDo7l27188gp4FpJJhaDV6WOytMNU0SD+XTNHTfClYr9eL+fl5uIMEwP15f0+j0UJjrIHeuLdR5ePwbM+BcCnojDXQagunGmPhHbjmflJ8anQZz5YaEZNi5Op7sywLv98Pr9eLxcVFaLVaOJ1OJJPJogu2XKijQKFUD6VIg6sBx3GYnp5GKpWS1ECsREZBWJNPnDghTgU+DNSYzJzb1BuPx+H1esVpx0Jtfl1dneQy1MNECPJWkmLiIfPz89Dr9XA6neA4TjHn6m7IuFeVo6BUrWUhpMq/CRv2jY2NA0uNMimnxpPjOExOTkKj0WB4eFh0NrxBHp/7tgn+UP5So3LQ6gzQ6tISZdGQC1vLL6Ln/K8qfp1ccidh7gYIvjcj8Zc1JtS3XgAA8ByHSGADiZgXAGAw2sBo0u9b0LOInaXnQYh6k0YPO4qj0+nQ0NCAhoa0g5dMJsWIlMfjwc7OjuhYHBSRKgZ1FCiU6qBUaXClkVJqlEu5joIwP6jQmnzY9lhpTCYT2traxGnHQm2+4JxllqFW42uvREbhIAqJhySTSbz66qswm81li4fcDetj1TgKlTCAGo1GzFQUgmVZTE5OQqvVHlhqlEup8m+C0e3s7ERHR4f4/RtzLL78bR9SKisBpeVCn4O5plGV8x/8tyyx+U6rha2uCzakG23ZVAwR/zoCu3Nwr71a0jnlUk3G2WAwoLm5GaFQSFTVEIbaCNOVM9UipN773WAIKZRqRul+vYOuVcw2bG1tYWFhAefPn4fD4ZB83lIdhcz5QYXW5OM+JTm3Nj9zaNnKygpYloXJZEJtba1qswfkchgZhYMwmUxoaWnB+vo6hoaGFBEPuRvWx0N3FIRSI6GeLHOjrDRarbbowBdhomNPTw/a2tpkn78UQ7i9vY35+XlcuHAhq1zk68/Gcf1lPw7WDCoP39Yk3Gs3ABAQOddS8PPP88qcTKc3w9F4EoHdOUXOd1QRSqLMZjPMZrMYkYpEIqLiRiwWy1KLKDZR9G4whBRKtSJIg7/88ssYGRlRvS+q0Iab53lMT08jkUhgZGREtkpPKeU60WgUY2Nj++YHlXNupdR4lC49kkPu0LL19XUEAoGs2QNCf0OpkfJyqYaMQj4yg9FKiIfQ0iOVyZyNICXaXy6FNvKEEKyvr2N9fb2siY5yHAWe5zE3N4dwOJxldONJgs98I4zlzXBJ9yAVnkthe/lFhL1Ld76pkt07yEbxSnodACCx3KjKgh2KkU8elWEY1NTUoKamBp2dnaLihs/nEyeKZhrFzHrj4z51kkKpVliWFddFpYahFUNYw3I3eMKGvaWlpeRZBXIDacJQSimZi8PeuB82Wq0WdrsdnZ2d4uwBoXctGo1mybBWajBYNWYUgMLy4aWKhwjZ+uPMoTkKuaVGOp1O9fHu+XoUWJbF1NQUGIaRXWqUi9QehUQigdHRUdTX1+Pq1atZH6bXFzTYCdthMOvBpWJFG3FLJRUPYXP+J0jGfDk/kWNo5RiA4scq3UYgvS+h+oyYEkhpss5U3Ojp6clKZa+uroIQAqvVivn5efA8Lzl6eO3aNXzuc5+Dy+VCIpG4AeD/Qwj5+UG/xzDMSQA3ATCEEOqVUO5q8vXrKaWqVwxBQjwzUCBkvc+dO5c18FMuUh0FYX5QIBDA8PCwpI3t3e4oZJI5eyBXhnViYgI8z+fd8CpNpcU+pCL1vqSIh6ysrGBlZUXW4LejuEZW3FEoVGup1WpVn8qbq3oklBp1d3ejvb297PNL6VEQIrinT58Wm1Az0WsZaHV6aHUGwCzMFYiDTcXApeLg+fKyLul+hJ+B5/I1RytnaJ2tF8FzSUSDmwcacKXNu9QFowqDHYpQysC13FR2KpXC8vIyvvOd72BtbQ1vfetb8dBDD+H9738/+vv7857jqaeewsc//nFcu3YN999/P86ePfsCgH9mGOYsIWS10LUZhjEA+BsAzwF4UNaNUyjHjELS4MImXk1HIXMzz/M8ZmZmEIvFSio1ynfug2xz5vygwcFByRFpuY5CueVH1eaYFHs9+WRYMze8Op1OtP3liF7IuafDpNTPUD7xkPX1dfzsZz/D1NQUpqam8Ja3vAUf//jHC57/qK6RFXUUMkuNchuWSx2GJodMI7i+vo7V1dWySo2KnT8XQghWVlawvb2Nq1evFvRAc5+v9FwBC3SGtFQqz7F7TkMMLBuXFY73uibgWb+JQltzpexe55l3ZUmtppIR/Lv/Po3zfUa87d5mtDdlD33jFfcUpJYeVZ8RUwIlIjl6vR4nT57EV7/6VTzwwAP4+te/jh//+Mfwer0Ff+fzn/88Hn/8cTzxxBMAAELIv2EY5h0AfhfAp4pc7rMAxgD8DNRRoNyl5EqD536GK7FGCtfILDUaGBioyBwjYX7QqVOnRIlQOeeWsnEX9h3VtMmvNLkb3kQiAa/Xi7W1NYRCIVitVrG/QU6kPJejnlE4CIPBgHe/+93w+Xx417vehfe+97144YUXijohR3WNrJijkFlrmU/VqFJGkGVZjI+PgxAiSftZDoUMoTC0zWAwYHh4uOhDqtcVN2AarQ4GrQ0w2dLNQnwEu645MAwDvckOhtl/7nQ/wgsIe5cPeAXlGU+N1oDeS49AkzPbQG+wIsha8cIs8PxMBAy7hRZnCvecteKhe5pBSOFG2lIgkOg87aW46+rqZE/CrGaUjjoyDIOWlhb8i3/xLwoek0wmcePGDXzyk5/M/dEPAbyxyLnfBeBXAFwF8IgCt0uhHDmkzEaoVDDN7XZjY2Oj7FKjXApl3AvPD5J3bimbf0II3G63WJpzXCgnem80GtHa2orW1lZR9MLr9WJ2dhaJRAIOhwN1dXWora2VlVWq1mZmpdfHSCSC+vp6dHd3o7u7u+BxR3mNVN1RkDoboRJGMB6Pw+12Y2BgQBV1pXyGMBwOY2xsTLKSkl4rfbPOMAyItgYNHVcApCP3Ed86UqkIdDoTdAYLkvEQXHn7EZTFZG1E59l34SBng2E0gN6BrTDwT68A//CiBzoSQpzVwlzTDLOtuezoFZHYMCdMdRQmYaqVgq00SkZyksmkJGfa7XaD47h8Q5C2ATyc73cYhmkF8CcA3ksICR3V95tCKQep0uBqr5E8zyMYDCISiUjuDZBDvteVKUeeOT+olHMfVPYrBAkZhkEqlcraBOcKOEi5XjWh1KY8U/Siq6tLbOgVBr8BkDzpmOd5RQOxSqF0piMSiRR1EASO8hqp6l+xUK1lPtQ2ghsbG1heXobNZlNNgjU3/SmMtr9w4QJsNpukc+jKeH71Bitqm0+L/46FdrB462/BpWLSTiArHXvnb+loPoOm7ntKql3SaPXgUQeDDuDYOPzb02BTUej0FlhrO2AwSXvfspHYo6Bh8qZgM+cOCI5DrqZytaeulTIocqXf8lyXQeE/yNcBfJkQ8lJpd0ehHF3kzkZQc42MxWIYGxuDTqfDiRMnKqKMU2h+UCkclFEQAna9vb2or68HIQSEEHETvLKyAo1GI9p7m812oA2t9jVACXIbejMnHc/NzcFoNIqOltVqzXrP7qaMwnFfI1VxFA6qtcyHWkZQGNbCcRyuXr2K8fFxxa8hIJQeCU1g8XhcdnmTXsG/iNnWBMJLf09lzVHYo+XEg7DV9SjW4KAzmKEzpOsi4xE3Qt4lEJ6FydqEGqe0xUSq6pEm5/NaKAWbqaksGEW1hx5VC+FwWFIPT0NDA7RaLba2tnJ/1IR0xCQfDwF4kGGYP9j7NwNAwzAMC+BJQshXS7xtCqWqKdavVwi11khh03f27Fns7u5WZAO8tbWFxcVFnD9/Pmt+UKkUcxR2dnbEWUU2mw3JZFrII3cTnEwm4fV6sb6+Ltbq19fXo66uruicmWqgUo3DuZOOBRnW5eVlRCIR2Gw2cY2sVnlUNTIKx32NVC2jcFCpUS5qGMFwOIzx8XF0dHSIAzXKGSF/EBqNBvF4HK+++iqamppKagLTKVwmL+/6chYIgp6L74XeWErEXxoMw8BgsiOwMwPv5hhOjTwu7c4UaGYuloJdWVkBkM5A+P1+2O32Y+s0SJ2hYDAYMDg4iOvXr+PRRx/N/NFbAfx9gV+7kPPv9wD4/wIYAbBRwu1SKEcCjuNkOQmA8mtk5iwfodTI6/WqmtknhGB6ehrRaBTDw8NlKykJ5HMUMmVWh4aGDsySGAwGtLS0oKWlRQwUeTwecc5MbW2tWKt/tzdEC5jNZrS3t6O9vV0cWOb1ejE1NYVIJCKujWrKsMpF6YzC3bBGquIoCNFWOR8kuccfxObmJpaXl/dFLNR0FKLRKHZ3d3Hx4kVRZlIuSmYUAAB5mpsLIvHtJ4SHRmtQ1UkQruNeew3+7duwOrvk/KKkwzQynKjc6FMkEsHk5CS2trYwOzsLk8kkDrQ5rEmYahCJRCQ3/X3iE5/ABz/4QYyMjOC+++7D2bNn/xhAG4CvAADDMJ8BMEIIeQsAEEImMn+fYZghAHzu9ymU44ZGo5EdXFBSQjwej2N0dBSNjY1Zs3zkDkWTQyKRQDQaRWtrK06fPq2ojczduKdSKYyNjcFms8mSWc08nxAo6u7uBsdxWZKiwvWEEtXDtvfVIEWaObCsp6cHs7OzovMpzB2QU9qlFkpnFKRm3YGju0aqllE4LI+b4zhMT08jlUrtK/tR68EkhGBpaQkejwddXV0lOwmAChkFWUPFDv578VwKsdBO2fMcDoLjkthaeA7RQNppZiD9gy05o5BbeyQDnU4Hk8mEgYEBAGkn0efziZMwhRRsJSdhAsrXzcoxgo899hg8Hg8+/elPw+VyAcD9AH6ZELKyd0grgBOK3iCFcpeg0+kUifbv7u5idnYWZ86c2bdW5RtKqgRerxe3b9+G0WhEX1+f4ufP3G8I85H6+vrQ0tKiyPm1Wi3q6+tRX18PIN2YurKyguXl5X32XqksiRyqwVHIhWEY1NbWispZuaVdFotFfM/KkWGVC8dxiq7JUkuPgKO7RlZfS3oZCM1R7e3t6OzsrMgHJ5VKYXx8HBaLBb29vWUbWeUzCsq9BzzPIhraBuHVHYyXSoSxOfcjJGP+O9+U8Tqk9yiU/t7k1l8Kcnu5KdiJiQlwHJeVtlYzBav0giHHCALAk08+iSeffFL452DOvT1e7HcJIX8B4C9k3SCFcgQp5TOq1WrF+vpS4Hke8/PzCAaDGBoaylt3nzuUtFwIIVheXsbOzg4GBwdx8+ZNxc6diVCRIPQ+KDkfKR9GoxFmsxlnz54V7b3H48HGxgZ4nofT6UR9ff2xLks9iNw1Mre0KxqNZsmw2u12sb9BTWdL6YyC4ChK5SiukcfGURAUhpRqjpJCMBjExMSEGLnY3NwsOzVsULxHQU4k/oAZDhodrI528GwCbCoGNhUHzyXKvcUsYuEduOZ+Ao6NZ31f1sIqtfSojIxCMWOTm4LNTVvrdDqxTEnpFOxhKzqoAcMwFgD9AAIAOADs3heX80X2/gsAhBCirt4yhVJByulRiMfjGBsbQ319fdFSHI1GI4qQlIsgR2oymbLmB6kV/V5ZWQHHcYr2PhQi8/4z7b0w+djn82WVpQqRc7VmN1RjRuGgNdJqtcJqtaKzs1OU5hUGvxFCxDXyIBlWuRzHNVJtVC09KgW5DzzHcZiZmUEikaiIgRDY2NjYN9lZiT6Las4opE/HQKs3Qas3wQiA8BxYNp6eFJ2KyVJZyiXkWcT20vMFMgIqZBTKcBTkPKe5aetEIgGfz5elriEYxXJTsIel6KAylwA8AyACIAUgDiC69+/I3v+HM76SAEYBfOswbpZCUYNSHQW3242ZmRkMDAyINkjpa+QilP/09vaitbVV/L5QIqTkpjaZTGJ3dxdOpxNXrlw59A2zTqdDY2MjGhsbQQgRlYHm5+cRj8dLnt1QjGp0FOTck9DwLJQpCc6WoMhlMBhEZ6vcnhCl10iO4w51XgTDMDUA+rA/kMYC4HEnkMbvfQHpPgfJ5S9VlVEQjJTUN10YM9/a2oozZ85U5IOSKbc6PDy8rwei3NKj9EsgkLMxLno+hXsU9p1fo4XeYIXekPaoOS4JLhVHKh4Cm4pBoz34b0kIgXfzFrybY4WvIyszIn3gWqmUY2yMRuM+dQ2fz5c1CVNonJbr+CodLQmHw6IU3iFyDmlb9TEA7QDsGV+Ovf82AKjZO+4CgFdAHQVKlVJq6ZGcTbyg+uP3+wuWGuWiRDOzICSSb36Q0qIlwWAQ4+PjsNvtaGtrk/S+VrJ/kmEYsSy1o6Njn3qe3NkNR4ly1shMZwtIZ8QyZVhramrE902udK2Sa2SVKF+9Aem1LoS0cxBDOniWGUwLZ/w3AeAGgH+SeoEj6ygItYjnzp2Dw+GQdZ1Sve9Mx6Srq2vfOdRUjCgZWbX95V9OqzVAqzXAYLKDY1OIBNaQjPnBaHTQG/cbQp5nsb30PMLe5eInllV6VF0ZhWJkqmsIKdhAIACfz4e1tTUAEPsbpKRg1ai/rIKMQgjAXxBCvi3lYIZhHgHwr9W9JQqlsshxFOLxOMbHx+F0OjE0NCQrsltqRoHneXHmTKH5QcIaqcRGTXBILl++jI2NjYpu2kp1NqTMbqirq0N9fb2sDfBRzygchMlkQltbG9ra2kS1KUGGlWVZMUtTW1t74P5R6TVSjsSxSlxCOtP+MQAdyB9Ia0Q6kKYFcBHAj1ENjoJaEZPMYWallBrJzVoICEoR586dE9NjuVSjoyAnEl9KRqEYWp0e9vo7ChfJWACRwAa4VBw6gwWE8Nic/wkSEfeB55KTGZFqwLWHlFEoRr5JmH6/P2sSplCmlC8Fe0zrL/8ZwC8AgGEYHQCGECIWUjMMo8deCo4QkkR6eM3/PoT7pFAkI3ezKdVR8Hg8mJ6ellRqlO8apaxhwmTn5ubmotl9JbLu+QaaHtW5BvlmN2RugCslgqEGaq2RDMPAZrPBZrOJ0rVClmZ5eVlcQ4UsTe49KL1GVgF+AH9KCPkHKQczDPMRAL8u5wJVmVEohBDRb2lpKWmYGSB/M5+ZvhWG0hQ7d7nGKhgMIl1FoRCqDVyTj8HsgMGczv7wPI/l0b+T5CQAapUeHX5G4SD0en1WCjYWi8Hn82VNwhSMotFoBMdxx65HgRASBBBkGIYhhLAAwDBMI4B6AFuEEH/O8b/AnmNBoRwXDlofCSFYWFiAz+fD4OAgTCaT7GuUEuwSeiDOnj0rBjiUPH8miURCbMrO3AMcVUchk9whn7kiGHq9vmCdfrVmFCqh+JQ5nwFIZ2l8Ph82NzcRCoWymsnNZrNiGS3hWochh5vD3wOwAGLQDDmBNHHTuhdIWwXwTTkXODKOwvb2Nubn54tG9KUgx1Alk0mMjY3BbrdLSt+WGy3Z3NzEysoKGDyo2JZdXo9C5dBoNPKGwalQeqRVSfVITcxmM8xms5iCzZyEybIsjEajWD6ghDGsktIj7DkJZM9B+F0Av4x0Y9Y2wzAvAPgmIWT9UG+SQlGRYuujsIGura2VVWok5xq5EEKwuLgIj8cjqwei1A19IBDAxMQETp06JQZOBCrtKFTierkiGJl1+rmzG6rRUciVR60UBoMBzc3NaG5uzttMnkwm4Xa70dDQUPY8hWrIuO8Fyvx7a2QKABiGaQZQC8C1F2jLPP5Zudeo+tIjIc0Yi8UOjOiXeo18CEbp5MmTkps5S42W5JZT/fUolAvuy5rMXL0RGTnPk1QDrtGWvtGvBsOcT4Z1eXkZfr8fr7/+elYK1m63l3S/1WAI99AgrdzwYQAfBfADALMABgD8NoAHGYb5FCFk/PBukUKRjlKlR0Kp0enTp9HQUF42WuoaJkw+rqmpwdDQkOSgSanBtPX1daytreHKlSt5JUaVbpKuRnLr9DNnN0SjUSQSCWg0mqqZ3VCpjEIx8jWTv/LKK4jH45iYmADP81k9gHKDa3IGkqpJRiCtBcDvAXgr0uuli2GY55EOpLlKPX9VZxSEusempqaSS41yOcgQEkKwtraGjY2Ngkap1HPnI18qlYGCfoKcDbZC15SOjCuqUHpUjT0K5aDVamGxWGAwGNDZ2Sk2ym1ubmJ6elqchOl0OmE2myU9G+FwWNYwGRURbvZBAN8lhPyO+AOGaUBa9eHTDMM8QQjZOYwbpFDUJPfzmhnRL7XUKBcpgTRBaai/vx/Nzc2yzi93jRQapFOp1D6VwUyOQ+mRHHJnN8zMzMBgMGB7e7tisxsO4rAyCsXQaDTQarXidHCWZeH3++F2u7GwsACdTie+bzU1NQfefzWU5u4hBNI+inQw7WkASwDO7n3vAYZhfp8QcruUk1eVo5A5ol5o3pRS9yiHYoaQ4zhMTk6CYRiMjIzI9i7lRjUKplKV9BRUlketFPIGrkl0FMrIKFSjowAgq0eh0CRMIQUrZRKm0AdRBQgPZwrABgAwDKMFYCCEuBmG+Q0A1wHcC+CfGIbRyNGJplCOErllsUrZooM28kJk//LlyyVlGuU4ColEArdu3UJzczO6u7uLrgFKNEnLpZocE2EOgdPprNjsBilUm6OQi06nQ0NDg5iJi8fj8Pl8WF1dRTgcFlWo6urq8jrikUjk0ByxHIQ3+iGkswefFH/AMK0A/gHAHzAM8yQhxCv35FVXesSyLKanpxGJRBQpNcqlkKGKRCIYGxtDZ2cnOjo6Sjq3HGNVLJWq5EdLlupRhe2ePEOrRkah+puZ5cLzfN7PjNRJmE6nE7W1teLGIxaLVYUhzJiy/D8B/GeGYcYIIf+ItGY0CCGuvQnOwkNVfX8cCiWDUu2H1+vF7du389bql0uh9VGYH8TzfNHIvpTzS7H7Pp8PU1NTkpWbDqNHoZrIXI/u5tkN5WIymdDa2orW1tYsFSpB9jfX4aqijILw8CcAuABRIVC/tzY+CuBHAC4D+LFQqiT15FWVUeA4Dqurq+js7MTp06dVeYDz6UQLjdLnz5+XPZMh99wHOQpSUqmKvuwqUj0q53pq9Cgc14yClExYoUmYQgo2lUrh2WefhVarlZxZu3btGj73uc/B5XLh3LlzuHnz5gOEkJ/nO5ZhmLNIb/rPIq31vAngbwD8pz1lhrwQQq4zDHMPgP/AMMx9AF7a+91fAvA60oPWMh0LCuVYQAhBIpHA3NycYqVGueTbyAtqg21tbejs7CxrXZYSTBNKf69evSp5Uv3dVnqUj0J/F7VmNxx3clWoch2uZ555BsvLy7BYLEilUpLUj9RaIzPWuz8G8H8zDDNBCPkB0gPYgLTzUIM7k5ll1a1UjaOwu7uLlZUVNDQ0iPVjapCpE83zPObm5hAOhxXJXhzkKEhNpSrrJ1RxtECOXZf1OqRlFHRHvJk5H6U6MLmTMD0eD27cuIHt7W1cunQJFy9exL/9t/8WQ0NDeX//qaeewsc//nFcu3YN999/P65du4abN2/+M8MwZwkhq3l+JQngL5He3PuRHhrzJ0jbpP9wwO3+v0jPSngUwANIy6SeQNqo9jAMYwQQyJVNpVCOKslkEuPj4yCEYHBwsGLlI1LmB8mh2BrJ8zympqbErIWc0l852fzj6FDIeU3HeXaDmuQ6XF1dXfjCF76Al156CcPDw+jr68O3vvWtgutvJdZIQsj39gJp/zfDML+EdOBsC+nm5ucB3No7Tlad3qE7CsJmPRQK4dSpUwiHw6peTzBUQhNxXV0drl69qlijdKEPrJxUqrL7TxklO9WcUVCh9CieiGFnZ6dojX4hqjmjoMR91dfX4/d+7/fw1FNP4fXXX8fY2FjRbNvnP/95PP7443jiiScAAF/84hfxpS99yYW0lOmnco8nhMwDmM/41grDMG9GeuNflL2U6Z8wDPOXSPckXARwHsDDAB4DsAZgg2GYx0upx6RQKoHUNUdYO06ePAmO4yqy0RXmBwUCAUVLgAutkfF4HKOjo2hpaUFXV5fs9VhqRiEYDGJsbAzAnYn3TqdT9oa42jIYpQauypndcBRRssG6qakJJ0+eRH9/Pz7+8Y9jY2Oj6NpbwTXyPyEdSPs1AG9GeipzL4D/BuAUwzBbSAfSAhJeJoBD7lGIx+Oi4s/g4CB8Ph8CAcn3XhJarRahUAiLi4uKyMllUiiqITeVquRnUV4TsHLXlXY5GReU0U8g1YBbzCaEw2Gsra0BgGgQpUiJVnNGQakokPAaNRoNLl++XPC4ZDKJGzdu4JOf/GTuj34I4I1SrsUwTD+AdwD4Tp6fNQLwIa3qwOx9afbSrz/b+xKOPQFgGOkISir3XBTKUYEQguXlZezs7Ihrx9raGjiOU3XIE8/zuHHjBhwOBwYHBxW1c/kyCkLPxZkzZ8ShWXKRsnHf2trC4uIiLl68CL1eL5aRLC0tiRvi+vp6WCyWqrTtlaDY7AZB2KK+vh5Op1Px/tFKoHSALxKJiMpf7e3tBY9Te43MZK8M6UsMw/wpgDfgTiDtVwF8COmBa2sMw3yQEBKRcm1VMwrFPrxCSjPTOMgZ9lIKhBDRGRkZGZFc/yiV3Ndbair18HoUKowcdVRZTdnSMgomk1Esc0ulUqKU6MzMjCglWkjtoJozCkpOnZSyGLjdbnAcl08qcRvpKH9B9oalXQVgRDqt+vt5DvshgAf3BscIT01eQ0EIWWAY5hSAJ6jqEeWoIpQaWa1WDA8Pi7ZGEPxQC7/fj2g0itOnTyveKA1kB9MIIVhdXcXW1lbZPRfFsvlCdiQYDGJ4eBgMw4DjuKxpvsKGeHFxEbFYDHa7XdwQV1IlqFTUClwVm93A8zycTifq6+urZnbDQSi5PgLS5VHVXCMzAmmZ/QcaQkgMwE/2voRjTwIYQbqnT7IhqfgnIDOlmTvNUU1HgWVZTExMIJVKobOzU3EnAciO3peTSi1DjCfPPcn58N5dpUeZPQp6vT5rmmM0GhUHGaVSKTgcDtTX14t1m9WcUVDKYAvycFLJ835IaZh6DIAN6frLzwH4PwF8JueYSwD+D4ZhNgHEkVZ2yPxvcu+/KQBRpDWkLwKYkHzzFEqV4Pf7MTk5mXfYp1prpDA/aHNzExaLRdFMeyZCRkGQItdoNFmOUKkUCkqyLCsOhhNKjPM5WpkbYkERzuPxiCpBQpRdKL85LqVHcsid3SAIYFTT7IaDUCOjUAVr5HUAI4SQzAe7UCBtjmGYk4SQ35Z806iwoxCPxzE+Pg6n05k3pamWEQyHwxgbG0NPTw80Gg0iEUnZlpIpN5V6eKVH1WP49qGC6pGuQGQhU0pUqNsU0tSLi4vQ6XTgeR4mk6nqHAYlIyZSoyUNDQ3QarXY2trK/VET0hGTghBC1vb+d2pvLsLXGIb5nGD09iTeNgD8S6QNKkE6csIjbQw5pCMjqb0vDkAYQNbYegql2sg3QG15eRnb29sFh31mzhpSCpZlMTU1JW7aX3nlFdXsmkajQTwex6uvvor29nZ0dnYqct58Zb/RaBSjo6Po6elBa2tr1s+Kvb5cRbhEIpFVfiNslis9t6HayBTAyDe7IZFIYHd3t6qyMkpnFKLR6KGukXvCHRcB/DbDMF6kA2bCV2ZATQimMQC+xzBMPyFkUerrrFjpkRCdLdbMq4aj4HK5sLS0hAsXLsBms2FnZ0e1DzghBMlksmz5OiUzCtUsJy8nIqNG6ZFOJ+2cWq02K02dSCQwNTWFnZ0drK+vw2aziT8/7LpNJSMmUqMlBoMBg4ODuH79Oh599NHMH70VwN/LuKQGaZukxV5adM8YvgNpaTfL3pct49+mjO+b9/77DQDqNjtRKAqSSqUwPj4Os9mMkZGRgp9hpdfIfPODhKi/GqUk0WgUm5ubuHLliiIqSgK5EX63242ZmZmyJc8BwGg0ZmnrB4NB7OzsIBQK4caNG6ivrz/0mQSHHbDKnd3Asixu3LiBYDAoZmWEMqXDfJ/UyChIcRRUXCP1SDsaT+z9vFAgjUXaYdAgXaYkK1quupsnlBr5/f59pUb7bkanU6z+kud5zMzMIB6PY3h4WGz+UitrIaRSOY4rO5V6WKVH1ax6JDWjIMf50OlKiywYjUaYzWa0tbXBZrMhFArB6/ViYmJCrNusq6uDw+GoeN2mUqpHgLy06ic+8Ql88IMfxMjICO677z585StfAYA2AF8BAIZhPoN0evQte//+INIRjnGkox1DSKdTv0UISWSemxAyqcgLolCqkEAggImJCfT39+erYc5CyfVLaO49f/487Hb7vmsoGQXObMzu6OhQ1EkA7jgKhBCsrKxge3v7wP1GqddxOBwwm82IRCI4e/Zs1kyCagoaHTZ6vR4nTpwAUD2zGw6rRwFQbY2MAngbACvuBMxqMv4t/Ne892UF8NeoJkdBmBtQW1uLoaGhA71Iper+hP6ApqYmDAwMZF1Xzgh5qcRiMYyOjqK9vR3hcFiBeksC5TIB1ZtRkINUh0dO/2o5cxSEyERm3WZPT49Yt7mzs4O5uTkYjUYx4mQ2mysSSVGyR0GqEXzsscfg8Xjw6U9/Gi6XC+fPnweAXyaErOwd0or0rAMBFmlJuJNIP6QrSM9B+O+552bSbxojNCczDNOHdCTGC+CfkI6SNAPYRdqwEjlTJymUw2J5eRlbW1sFS41yUcJRECTJI5FIVhBNyWtkIvQHGgwG9Pf3IxqNKnZuAaH0aGJiAgzDKNL3IIXcmQSZQSNh2r3Q7Kum7T/sjEIuhJCs979aZjconVE47DVyb00cL/uFHICqjsLy8jJ6e3slN0Yp8aALJU6F+gMyB64pgXA9YSCNILVZDkrat2oyHvuQU3oktZlZhqOgLzGjABQ2zLmDy3LrNu12uxhxqpa6zULIHU//5JNP4sknn8z81nPC/xBCHs/8ASHkmwC+KeW8e5t+AgAMw7wLadWHWqTLjr6NdCnSRwDcIIQUlY6jUKqFRCKBeDxetNQol3I38YlEAqOjo6ivr8eVK1fy2jAlg2lCn0BXVxfa29tVK/1NpVLY2tpCX19fSXMYlCA3aJRKpeDz+bC5uYnp6WlYrVYxaKR0FL3aHIVi8woOc3aDGj0KNptN8vFqrJFMxhskBMgYhukAYMCd/j0e6SBaMPM4qai6UxkYGFBV7jQTQgiWlpbgdruL9gdoNBpF7klIpe7u7iqe4lS0R0FWbX9lg7BySp0YiQuprIyCxB6FfEiNTJjNZrS3t6O9vV1U0/B6vSXNbqg0chUd1IJhGIYQQvZkT/890hMmFwD8O0IIxzBMFOlazd8E8B2GYTRUGpVS7ZhMJgwMDMj6Ha1Wi0QicfCBeRBENg4a+qmUoyBIoGf2CRSTMS2VQCCA2dlZOBwOdHd3K3ruQkipftDr9WhqakJTU5MYRfd4PJiamgLHcYdaoqo2ciL3xWY3CM3CSs1uUDqjEI1GD13hKcM50DAM83YA/wZAPe40M0eRzrq/Qgj5f5kSNhrVHdKUiNAIZrFYMDQ0VPRBUMIIZqZS812vXO9e2R6F6tp8lowKPQpqZBSKkaumIXd2Q6WRm1FQEUFC7gyAZkLIf2AY5mHsScARQmIMw2zjzsTKY/LQU44zpdjmUjIKmXX7UkQ2ys1aEEKwuLgIr9e7b6pzoaGkpbK5uYmVlRWcPn0abrdbsfMqTWYUvbu7e1+JqtlsFrMNpdj+assolHM/UmY3lOpgKZ1RIISoWiolBSGQBuACgM8iLeTxQ9wR/rAgXdYkpD40KCCfWoiqdBTkPGShUAjj4+Po6+tDS0vLgceXawSFVGqmSkQmQsSkLEdByeBCFRmPfRxy6VElMgrFyJ3dINRtCrMbKlW3WYhIJLJPVvCQseFOE1Yb0pESgXoAsb3/r+KHnkIpHbnrF8uyGB8fh9FolFy3X04wTbie2WzG4ODgvuspla0ghGBmZgaxWAzDw8OIRqOSg0TVsKHOlRbNndsjbIZra2slrzPV8LoElIrcF5rdIDhYcmc38DyvWMlvFbXBCYG0K0gPZXsLISSV98C0UyF7A6y6PKpcBEMiZWO0sbGBlZUVXLx4UXLksxxDlS+VmosQMSnnQ8Io+ADKGlRWcdUj6TAS0yxyKk4qnVEoRr66zUAgAI/HI85uEFQiCtVtFqsLLYVoNFoVpUe4I4+1CIBnGOaXkZaH8wEAwzAPAXgTgB/kHE+hVDVyBTzkOApCEK2npwdtbW2Sr1HqGinMK+rt7S0YYFDCUUilUhgbG4PD4cDly5fFAWiVnmug1EYx39wen88Ht9uN+fl5cTNcX19fcFBsFW1aAaiX4cjtAYxGo1k9gA6HA3V1dQVnN3Acp4oSVpUQAjCLdO9eXkehVJGPqssoCIawmKPA8zxu374NlmUxMjIiy0MsNXVbKJWaS7mG0OfzIR63ALAfeKwkquch3oe8OQrSNvWVKj1SS2dcIN/sBq/Xi5WVFYTD4bwyfIep6KAmgnEjhLzAMMxfAfh/ADQAqGEY5osAHgZwG8Cf7x1XmcYoCqXCSJUQ39zcxPLysjg/SA6lrJE7OzuYn58/8Hrl9igIzsiJEyeypGQrPSlZzc2hVqtFQ0ODKAIjbIZnZ2eRSCRQW1uL+vr6fZnmKtqwqr4+CmTObuB5XhyMWmh2g5L3VS3OWUY/3ncA1AH4DwzDPI2045BEuleBB+AjhJQ0bbhqHYVCCFKkra2tJakbyDUoB6VScynHUVhbW8PGxgZqau6DL17SKfZR3ZOZ5VxP4uuQk1HQV09G4SByh/7km91gs9kOZZhMJchoUP4LpBu07gfQCOAepAfWfI4QEqCNzJTjzEHrI8/zmJ6eRiKRkB1EE5CzhglzkgKBAIaGhg5sNi0n8i9k9C9evLjPGam0o1BJMjfDuZlmvV6P+vp6sCxbVa8/Vx61EgiOgdPpBJB/dkMqlVIsS55IJCo6A0Ii5wB8DGlhjzWkexEiABxIS6s+VcoaWXWlR8UMoWAozp49Kz4Mat5TJBIRR8BLTd2W4igIxj2VSmF4eBjPbyqpj3o81BTUUD06So5CJsVmNwSDQYyNjYnZhnJmN0gdT682e3WVPAAQQkIA/gTAnzAMYyGERPeOeS/DMIuEkFuHeKsUiiyULD0S5gc1NzfjzJkzJX/upWYUhBIgm82GwcFBSdcrZX0UFA09Hk/BjP5xdhQyyc00C/Lb0WhUnFklZBsOU35b6TLYUsg3u2F6ehpra2tYXV0tuwewilQBtXtZ9H8F4B0AvgRgDoAT6QFrJgBdyO7pk8WRyCgQQrCwsACfz6fKtMV8CM0yFy5cyJpaeRByDVYymcTo6CgaGhpE417GHLD991PVfZ1yJjNLdBRknFOvL+/xP2xDKCDUbQpOQW9vLzweT9bsBkFeTs7iUQ0ZhQxp1HsAPIb0dMmfEEL+FkCKYZjfAPAuAO8D8CSAWxmGk0I5VhTaxB80P0gOUiTE5YqIZJ5bjqPAcRwmJiag1+uLZvQPo/SoGhwTQX57e3sb58+fFyVYl5eXRdlRNeYRHMRhZBSKIfQAWiwWdHV1wWw2lz27oVpKc3Gn3OIhAC8RQj5W7OBSMu5V6Shk1mAmk0mMj4/DZrNJmu5cLoJT4vf7D+xHyIccQygY25MnT4rNOelzKGiAZL1fFZ6jIMPQaqQ6PDIWIUMZPQrViCACYDab0dHRIdZtCrMbMus2pcxuOGxDmOEk3Avgj5Guv2wC8CjDMM0AOpF2EuYBfAB7zczUSaAcV3IdBaF/zuPxKBZE02g0SKXy9kICALa2trC4uChLRCTz3FLtvlBmLNiyYlTLxv0wyS29SSQSotMgDAYTHAe1sw3VkFHIh9CjIGV2Q24PYC7VEEjbQ9j0vApAlRuqutIjnU4nGsJAIICJiQmcPHkSTU1NSt/ePoR5DFarVXIqNRepjkIxY6toRkHWwDXlrqs4UkuPUJnSo2qE47i8coTC7Ia+vr6s2Q3CtNBCsxvkTp1UAUH27beRrrf8N0jLv/0tgP8I4K8B/CYtN6IcVUrpsRPIXK8Omh8kh0JZC0IIZmdnEYlEMDw8DL1eL/vcUnsUfD4fpqamJJcZqzHI7SiRrxTWaDSK8wh4nhfnEayurkKj0YhKSjU1NYpv6qstoyBQSCin0OyGzB7A3NkN1TBsbQ/hwZ8B8H8yDKNDOmgWRbqfL460M7FKCClpWmPVZhTW1tawvr6OK1euVOSPIagpyE2l5nKQoyA0fwWDwYLGVklHobol5eWUHklVPZKRUSiz9KjakKLoIGV2g9PphMlkQjQaLSjHV2GuAvgyIeRlAGAYZgXABCHk3+/92wCAJ4QcLAdDoRwDgsEgJiYmyl6v8pFvDUsmkxgbG0NtbS2uXLlS8sZSSiBNEPW4evWqZPsjN6NQrlNx1DIYGo0GDocDDocDfX19YqPv6uqqqKInZBtKcQBzqdaMQr5gWi5SZjf4fD6sr69Lzihcu3YNn/vc5+ByuXDu3Dl84QtfwAMPPJD3WIZh3gzg3wIYQboJeR7AFwghf1bg9Dqk5VAfRnro2lkA7wYQRLqZOY50Nv5DAMYzBrRJpup2SgzDYHV1FVarFSMjI6oNmsr0wIXofilScrkUMyCCgpLFYsHVq1cLfpCUzShI/7BW3OzJ8RMkqx5JP6nhGGYU5HxeCs1uWFpawkc/+lGEw2F8/vOfxzve8Q5cuHCh6LOksiF0Ij1DQcAE4B+EfxBCkpJfNIVyxEkmk5icnMSlS5dUaabMzSgEg0GxRLbczH4xRyFX1EOuLZOSqUilUrh161ZW71YlSnHURq64Rm6jrxBBX19fBwAx2yDIisqlUvKocpE6oyuTfLMbvvvd7+JP//RPsba2hkQigbe//e1497vfnfc1P/XUU/j4xz+Oa9eu4f7778e1a9fwzne+E1NTU+jq6sp3yTcCGAfwXwG4ALwdwFcZhokTQv469+CM4Wp/DOAbAPRIr5l2pEuRzEgPKPXtHS97q1dVpUfRaBSrq6twOBw4f/68ah5p5qyGubk5hEKhklOpuRQyhMJE5+7u7gMVlBTNKFRxj4Kc66mherS0tIA6G0F9fT0sFktVRkDkUO54+kxFjVdeeQX33nsvGhsb8ZnPfAaPPPII3ve+9+X9vUKGMBKJdBFCVvP8iixDCMAA4HGGYc4AcCOt4PBmhmGSSOtER5COnIwXmkhJoVQjcmwOx3G4ffs2OI7D8PCwapvbzDVMmMdw+fJlRZySQq9XEPWor68vSbFJSoRfUDHs6+uDw+FAOByG2+3G6upqVs36cVgL5JAbQRfKUwVZUaFev76+XnLP5mGqAhZDifuyWCx47LHHQAjB9vY2HnjgATz//PN4z3vek/f4z3/+83j88cfxxBNPAAC++MUv4vvf/z6+/OUv4zOf+Uy+e/wvOd/6MsMwvwTgEaTLbQFk9fB9DGnHYBVAGOn10AdgHenyoyjSGQdXqa+5atxoIa3T0dEhTlpUC41Gg0Qigdu3b8PhcBSN7pdy7lxHQVCkKDbROROtVsHJzFUsjypv4JryjsKpU/3Q6TRYXFxELBYrWR2oWlA6iqPX6/HhD38YH/7wh4seV8gQzs/P/y6AT+UeL9UQ4o4n+RqAUwB6AGgA7CKdZn1w7+ccgFqkpzPvSH19FMpRIRqNYmxsDG1tbQgEAqpl2oE75b/T09OIxWIlz2OQSigUwtjYGE6dOpUl6iGHgxwFYQ2+cOECampqEA6HQQhBT08PTpw4ITb+CmuBw+EQ14JC73U1lR4puTHPLU8Nh8NZ9fpCMMlutxdcb3ier9o1VKn3KRKJwOFw4MEHH8SDDz6Y95hkMokbN27gk5/8ZNb33/a2t+GFF16Qczk70hv/fNyPdPCMIL2n1yBdcy68UGF9fCNKXB9V/0se9AHmeR7z8/NiVN/v9yMQCKh6T4QQvP766zh16pTiTdKZjgIhBKurq9ja2pKlSFFuRoFNxRENbEKj1SEZD4HnWWg01fmhlYxUh0eG8bZZzWhrqxebvYLBIDwej6gOJKSlc5u9qmmByERJ40wIkfQ6ixnC+fn5N8q45D5DmJEi/RgAG9KNzCakU6tWpFOq5r3vO5CuyaRQjhXC/KBz586htrYWLpcLHMepthFjWRYejwfd3d04ffq0qkG77e1tLCws4NKlS2UpyBTbZ6yursLlcokD4YLBIGZnZ5FMpisW7XY7HA4HnE6nuBYIQ82WlpZgMBjEbIPQM1GN0XI17olhGNhsNthstqyZPVtbW5idnYXFYhGzDZn7m2rOKChFJBJBe3t70WPcbjc4jsuaIg4Azc3NePbZZyVdh2GYXwHwFgD3ZX4/Y338j0ivh8L6aN77r/D/Za+Ph7p7TCQSGBsbg9PpFKP6pYyPl4PL5UIwGMSlS5dKjl4UQ1Bf4HkeU1NTIIRgeHhYVqRXV4ajkIyHEAttAYSA41mkEkEkY34wjAYarQEarR4arb5AhL56S480KmQU9IY7j3+mOhCQ3gALChHhcDgr26DVaqvSCHIcp9iMkXg8LqmRsJghBCCpy7KQIRQghCxLOQ+FctQoZkcypx5nSnXrdDqwLKuKoyAoDZrNZpw4cULx8wsIMuTCayu37Dff+8jzPGZmZpBMJkVVKCEQRAiBTqcTA0TBYBBra2swGo1wOByiSpxGo0EsFoPH48Hs7CwSiYSogFOtASM1yazXzxTDmJqaAsuycDqdqK+vl9Q0fNSJRqOSy/Fyn0+pjhTDMPchnWX/GCHklXzHEEIW831fSQ7NURDkz3LTjZnyqErC8zxmZ2cRi8XQ0NCwTwpSKRiGQSKRwKuvvoqWlhZ0dXXJ3lSW+vmKRzxIRDw5N5Q+GSE8ODYOjo0DYKDR6u44Dkch26BRXvXIaCj8ug0GA1pbW9Ha2gpCiJhtWFtbA5B2coPBYMnNXmpQbo9CJuFwWFZNcj5DCAmeoBRDmOd38r7hpTRpUSjViKAy5HA49kl1qxVMW19fx9raGi5evIjZ2VnFzy9ACMGtW7cOFPUoh1QqhdHRUTidTpw+fRqEELhcLmxubgKAuIkV7CXP8+B5HqlUCjs7O9jZ2YFGo4HNZoPD4UBjYyM6OjrAcRz8fj88Ho9YDiZkG9TaU1QruWIYLMvC7/djZ2cHu7u7MJlMSKVSqKurqxb1PEWRMmeooaEBWq0WW1tbWd/f2dnZF1zLhWGY+wE8A+D/IYR8Wep9qbE+Vrz0SCjHcblceeXP1DCCQqNUXV0dTp8+jampKdWyFolEAi6XCxcuXBCHechF7hwwQghiwS2kEqF9P8uvFkTAcynwXLrvk2G00Gj10OrMFU0ZyupRgNTSIznyqNLeaIZhRGk5IB1JGB8fz2r2EsqU5A7oUxIlexSkDpMpZggBbBf73VINIXUIKMcZv9+PycnJgipDSq+RgtpQMpnE8PCw+D01iEajiEQi6O3tPVDUo5xr3Lp1C319fWhubgbHcVhZWYHX6y24tmk0GtF28jwvVgUEAgEEAgGsrKzAYrGI68DJkyfh9/vR398Pt9uN27dvg2VZsQynWP3+cUWn06GhoUFcEywWCziOE8u8amtrUV9fD4fDoWqPTSGU3tsIg9mKYTAYMDg4iOvXr+PRRx8Vv3/9+nU88sgjBX+PYZg3AXgawH8ihHxBzn2psT5WNJTMsiwmJyeh0+kwMjKS94OktBEUUqmZmQu5Y+Slsrm5ia2tLbS3t5fsJADySo94jkU0uAkuFS9wxMEfDEI4cCwHnksh6J6HTm+BzmiF3mCFRlu+ElSRK0s+UrrqkfRzGg2lvTadTgeTyYSzZ88WbPYSFotKZhtKkX4rRCQSkZRRKGYIARTs1irHEFIoxxFCCNbW1rC5uVl0fpCSa2QikcDo6CgaGxtFtSGe51UJpAkNxWazWTUnwev14vbt2zh//jzsdjtSqRTm5+cRiUTy2uJonMVf/fMWGh063HepFs31poLZhng8jlgshq2tLWi1WmxubqK3txetra1iRF2o35+ZmYHVahWzDYcZQDoszGYznE4nOjs7xUyM2+3G/Pw8jEajGFyr1NAyJTPugPRg2ic+8Ql88IMfxMjICO677z585StfwebmJj760Y8CABiG+QyAEULIW/b+/Wak18ZrAL7BMIxQwssRQnYVewEyqJijIAw06+7uLtoAIiguKMHGxgZWV1f3Sbsp7YxkTqzs6+sr+9xSn2WOTSDi3wDhC79f8jaqBCAEbDICNhlBHIBGZ4DOkHYatHqzshtfOXMUpF5XTo+C3NTNHpnDZHKbvVKpFHw+X9bkY8EgKtU/UAgl60KlOgpAYUMI4CvA0TCEFMphINgRjuMwOTkJjUZz4AwBpdYvIXMxMDCQFdhSOhKeKeoxODiImzdvKnp+gWQyidnZWQwODsJoNCISiWBxcRGJRCLv+rHljuNr3/WAYyzYCgBjKxFo4UWrk+DqgBUX+23Q6bT7sg08z2N7exvJZBJLS0tgGEbMNtTW1uL06dMA0jY0M4AkOA3VVK6qFrkD1zLlZwGIfR/z8/OIx+Oora1FXV1dUZUpJe5JyWc7EolImrv12GOPwePx4NOf/jRcLhfOnz+PZ555Bt3d3cIhrQAyG4IeB2AB8Mm9L4EVpJX/Kk5FSo/kDDRTwgjmplJzm76UzCikUimMjY3BbrfjypUr2NraQipVnpS7ToI8aioRRjS4deDGuFyDxLNJJNkkklEfjNYGmKx1ZZ0vGznyqMr3KJRKMYOj1+vR1NSEpqYmsdnL4/GI5W75RsErhZIRE6nREqCwIXzTm960sndI1RtCCuWwiEQiGBsbQ2dnJzo6Og48Xok1spTpx6WQT9RDKEdWarNMCMH09DRYlhWv4fP5sLS0VPA6E/NBfOtnUTDaO6+dYRjwMGHDD2y8xOM7z7vhMKdwqtOA+y7VotZuAMMwWF9fB8uy6O/vF19LLBZDNBrF5uYmDAYD7HY7amtr0d7eju7u7n2zCZSehFxtEEKKrm9msxkdHR3o6OgAz/Pw+/3wer1YWlqCTqdTZaaFGhkFqcG0J598Ek8++WTenxFCHs/z78fzHXtYqO4oLC4uwuPxSFY2KHcTny+VmotWq1XEUcgc4NLSkg6KKuGEHFR6FI94kYi4JZ6teiMXRJajoHzpUanIUCwQm726u7v3jYI3m83iYqFEI5zSPQpympmPuiGkUA4DoelWKJWRQjmOgrBx53le9vRjuSQSCdy6dQvNzc3o7u7OysIqVSbJsixGR0fhcDhEhyezaTkfP3rFjZ9PEDDa4uVAjFaPYFKP1xaAV+eD0DNxOM1RXOzT496rvfvuX8g2CPKyHk9aWKSmpkbMNgizCTInITMMg7q6OjQ0NMBqtR6LbENuRqEYGo1GnM0ApBX3vF6v4vONDiujcBxQ3VFob2+XpfxTzodESKWePn0aDQ0NBY/TaDRlR2QEbesLFy5kGXhBHrUcClXEEEIQC20jFZchhytj4FrFO0TlXFAFedRSKdXg5ErLRaNRsW43lUqJ2Yba2tqSzq+06lE5uuYUCuVgDAYD3vCGN8j6vJfqKMTjcYyOjpasxicHoTcwt6wJuBNMK9dWRaNRjI6Oore3F83NzXC5XKLkaqHX9tffd2HWZZDc8ybAMBqwsGA3ZsGPJoFnx3ZRX8PiTK8Jb7xYC4tJl7chWuhhC4fD2NjYyMo2dHV1obe3V5TiXl5eFod4HeXBn0B5m3KTyYS2trai843q6+tlO1VKZxRisdixVHPKh+pPodFoVHUugoAg7VasCUygnKg/IQTLy8vY3d3N0rYWEKIl5ZDvWeZ5DtHAJrhUTNa5lO0pUNqVkNPMLPEDLtFRKOddUSJtzjAMrFYrrFYrurq6wHEcfD6f2OxlMpnEpmipxugwVI8oFEp5aLVaWcElrVYru7xVaPI9c+aMGLlVi83NTaysrBRci5UIpuVrWuY4Di+++CIAiDNxhNKVVIrDl7/tgi9mgRJLIqM1wBsz4Pkp4BcTfvQ2JfEvf+VOg3amHRbmNQjZBrfbjd3dXTAMIw57q62tRWtra9bGeHl5WbUyHLVRqrQsd75RIpGA1+sVnarMbMNBFStKZxSE+7sbqEiPgprwPI/bt2+D4ziMjIxI8hi1Wi0SiYTsawkNZzqdThzgkku5pUeEEAR9bqTLuveuyyYRDWyIcqaykPP+V7HqpNTnSPICVMZjqYbB0Wq1orQckI6Web1ecciPIC1XW1tb8Bk/qC5UDtFoVFK9NIVCqSxarRbxeCGVu2xyG4nllDjK3exlinrk6w0UKHeNXF9fx/r6uti0HI1GsbCwAKvVinPnziGVSiEQCGBzcxOxWAxEY8X3XjOChTrqOjWGGD7w1taixxSSXy007K23txcnTpxAIpGAx+MRy3CkrAPVgBprJJAOPBebbyQE1/I1jCuZUbjbFLqPZl5rDyGVmlsDeRClGKp4PI5bt26hvb0dnZ2dip5bQHB6kok7pUypRATRoEuWmk8m+ecoVAeyPmwKlx6V48BWYtaExWKBxWIRh/wEAgFxwdDr9WKUyWxWWIlqj0gkUjHZOgqFIh2pyoC5SkpyNm5yG45zRT2K/V6pWXdCCGZmZhCPx8XXEwgEsLi4CI7jxGvq9Xox6DK/FsY3fhgCtOoozrU5ovjtX+uQZYMLya8mk8m8w97q6+vFMhxh2Nvi4iIMBkOWklA1oWTQqhC5842SyWRWw3jufCM1nJejkuEpl6p0FARDUuyPKkx2LiWVKreZWeh9kHKtUtOqwlC4hoYG9PZ0AjNAIuZHPLQj+1yZVPeDLP190khUPZJ6znLeFbWiJYXQarVZzV6xWAxer1eUlhMWEyWjHOFw+K5p1KJQDpPcoaQHodPpDiznjcViGB0dPTCwVQihD0KKncsn6lGMUoJpQtOy3W7HpUuXRInS9fV1APnXuZfGfPj+aykwKjgJhPC42M3ivQ+Vn3U9aNjb6uoqzGazuCkW1JYEiVEhizM3NydmGw67JEZOM7NSGAwGtLS0oKWlJe98I4PBAKPRqEigj2YUFKaUP4hgCPM97JlDaUqVdpPTzCzMYpB6rVKiJcKMif7+fjQ2NmJ8iUM0tI1ULCDrPAXuSIFzVAESexSI1Pe+yjMKxTCbzWhvb0d7e7u4oHg8HkSjUbz++utiFKUcBQ0pUycpFErlOaiZWRBIOHfunFjbLRepm/lCoh4HnVvORktoWu7p6UFLSwt4nsfa2ppY51/w9xIcai1J+CP8gQpHciA8h7dc0eCBKwc7RXJZ3IiirdEEiyldb19o2JvD4YDdbkdzczM6OjrwyiuvwOl0Ynd3F/Pz86KiXn19verze/JRiYxCMfLNN1pYWEAoFMIrr7xS9nyjeDx+V2XcqzKjIBjC3OYUjuMwNTUFAGVJu0kxgjzPY2ZmBolEomi9ZSnnzsTtdmNmZgYXL15ETU1NOn3m3kYqppDHWs0ZBRmLBUMk9ihA2nuvqbIehVLRaDRwOp1wOp3w+Xw4e/as2AgXjUZht9vFbIQcBQ258qgUCqUyFHIUMoU2hoaGytogHuSMHCTqUQw5a6RQOXDu3Dk4HA6wLIvFxUUEg8EDgyAPDTfgoeH0vY7OBvHa7TC2fAALU8kBFMIm8P6HLDjb5yjp94vxvReTuDGTACExGBBGT4sGb7xYj572dMBGcBoIIfB6vfB6vQDSZaputxtnz57FqVOnAEBU1Muc39PQ0AC73V6RINdhZBSKodfrYbVa4XA40NLSUvZ8o3A4TB2FwyZfDaaQSm1ra0NnZ2dZD+FBRjCZTGJsbAxOpxMDAwOy6w+lGsHV1VW4XC4MDg5Cr9cjFovB5XKBS3IAlIoCKPlhVTbdJmeOQtC7BIOpBnqDFTqDFRptgUe3Aj0K1eQoCAjPnNFozCstt7q6KupV19fXo6ampuh7cDdpRFMoR4l86xfLspiYmIDBYCgotCGHYuuYFFGPYkjNugvZfKFpORaLYWFhAfF4XJb9ZhgGl087cPl0enO/5Y7j+VE/FlwsokmjdEU9Lop/9e46tDUpu0EkBPjGs3EsbEQBMGAYLVJwYG4bmLueBNh1NNiSuHSqBvdcqIder8uSX/V4PPD5fLh9+zb0er2opNTW1oauri5xfs/m5iamp6f31e6rwWFn3fPBcRwMBoOk+UbCOlmo+f9ukw+vytKjXEMopFLPnj0Lp9NZ9j0VM4KhUAjj4+Po7+9HU1NTSec+KK0qTI5mWRZDQ0MA0g/e9vZ2Wl9awb+KvPe/euvuNAzAJsJgE+H0v3XGtNNgrIFOf+fDLDWlXe3NzHLJp0ueKy0n6HWvrq6KPQiFpoNSeVQKpTLItSW566NQmtPV1YX29nZF7qnQGilV1KOUcwsI6knRaFSsHAgGg1hcXATLsmXb3pYGEx55S7psKJFi8ZOXtzCxGEckZS3Y9GxAGL9+PwvP9gKCXj2cTidqa2vLLuthWYKvPR3Ftq+ICqPOAnfMgh+NAs++7oZJG0V/uw73X26ASZfA2toa+vv7xQBroWFvwvyezNp9QkhRpaByOAprJJB/vpHX6xXnG2UqTQlO8d2Wca/ajALHcSCEYGVlBdvb27Kl3YpRyFDt7Oxgfn5eLAMqhYOiJcIkzrq6OvT09IAQIurnCxw0mVnmDSl4MoUpoyGIZxNIsAkkol4wGi10e5kGIlFC9jhmFA66J4PBkCUtlzkdFEBWtoFmFCiU6iTTURB6BM6fPy+qvyh9DQE5oh7FKOYosCyLsbEx1NTU4PLly+B5Hjs7O1hfX1clQOP3etBVF8Rb7jkJvV6PmeUwXp4MYm2XR4qYwDAa1Fui+Ogj7dDtbTLj8Tj8fr+otiRsxA/K0uYSjhP8yXfDCEaky54zGj0SxIHJdWBiLQqwIbQ4rUhqI7h8ug4Gw51sA8/zBYe9dXZ2irX7mUpBNpsNDQ0NkuYSHDWkrJGZ8406OzvzzjcKhULY3t6W7Chcu3YNn/vc5+ByuXDu3Dl84QtfwAMPPFDo+iYAXwFwFcAZAM8TQt4s53WqQdU6CoLcmk6nky3tJuX8mUaQEILFxUX4fD4MDQ2VlY4rZgQFdYgTJ06gqakJHMdhZ2dn3yRJvYLyyNUsj6oUhOeQigeRigcR9q8jGQtAo9VDozNAoyn0iBNRQk3u4nPYjVr5kKsRLQz7sdvt6O3tFReM+fl5fOQjHwHDMPj7v/97vOMd7zgws3YcDCGFclQQ1piFhQV4vV7ZPQJyriEgDDQtVUAkk0IqT7FYDLdu3UJ3d7c4fGxjYwPb29uKOwjCfIlUKoXTp0+LtvN0Tw1O96SDhP5gEtMrYbzhQraykclkEtV1WJZFMBjEzs4OlpaWYLFYxCxusZ6wHT+PP38miHiy9HkSDMMAeju2w8D3XgG+++IOaoxRDHQa8OBgE2w16Wcid9ibEJQUSpQcDgeam5vF4JHb7RZLVUudglyNlDJHId98o2eeeQbXrl3D6uoqTCYT3vnOd+Ltb3973j3BU089hY9//OO4du0a7r//fly7dg3vfOc7MTU1ha6urryXBBAH8CUAvwygVt6rVIeqLD0SGon7+vpUGfqUaQSF2k6j0YirV6+qVtsplE9duHABNpsNyWQSW1tbiMVi+94jnZJzVCTOH5CGwj0KKkiMpSMpKfB8CkhFwTAaaLSGtOOg1YPZez80DCOW4AjTHaU2/PI8L6sxuBKUm+XQ6/Vobm5Gc3Mzbty4gfvvvx/r6+t4//vfj9/93d/FY489lvf3joshpFAOC7lrJMuyiMViSKVSGBwcVCVoIQTTMkU9pA40PYh8a2S+puWlpaV9QTQl4DgOCwsLMJvNOHHiRMHz19oNeMOF4pkTnU4nikUQQhCJROD3+zE9PZ1V+pk572Zxk8Pf/CiIFKfs+sdoDYiwBrzw+gJIyo9fffg8gIOHvQkbXiEz0tPTg76+PrFUNVMYQ5iCXG3rnxSkyv0Ww2Kx4H3vex8MBgMmJyfx0EMP4Wc/+xne8Y535D3+85//PB5//HE88cQTAIAvfvGL+P73v48vf/nL+MxnPrPveEJIBMBHAYBhmIuokvWx6v7abrcbLpcLHR0dqk2GFYygEMHo7OxU7Fr5oiWCnGtm0/LW1haSyWTecyjpKFR3FEAFRyFH9YgQHhwbB8fGATDQaHXQaA1gzFqcO3cua7rj6uoqtFqtGEWxWCx5379q7FFQcuqkRqOBVqvFpz71Kfz+7/9+0WOPiyGkUI4CgpS2Xq/HwMCAatfRaDRIJpO4ceMG6urqZIt6HHTuTEdhc3MTKysruHr1KkwmE+LxOBYWFvIG0colmUxibm4OTU1NaGxsVPTcmU2yHR0dSCaT8Pv9WF9fRzweh91ux2aoHj++mYLCPoKIb3McHQ08fuUtQ3l/LnfYW11dnZjdEWS4l5eXs4Z+HhX1n0I9CqUQDodRW1uLhx9+GA8//HDeY4TPzyc/+cms77/tbW/DCy+8oMh9VIqKOApSBsoQQrC0tAS3242enh5Vx5MzDINUKoWbN2+WpTVd6NwCQjQmmUxicHAQDMMgEolga2uraB+DohmFu42iqkcEPJcCz6WQjLGYn5+HxWKBzWZDd3c3+vr6kEgkxMmXsVhMHGbmdDqzjGu1lR4pfU8Mwxy4SB8nQ0ihVDtCD9358+cxMTGh6rVSqRTW1tZw9uzZkkQ9iiE4CoQQzM3NIRwOi03LoVAICwsLijQt5xKNRrGwsICuri5F+zkKYTAY0NTUhKamJvA8jx++GsUrtxMgKpUDu9dew8V+G574jXsl/47cYW9CBiYej8Pj8YhDPzMbftXcu5WDkmtkNBo9sEfB7XaD4zg0Nzdnfb+5uRnPPvusIvdRKaoio5BZ/jM0NIStrS0kEkVUAMpkbW0NiUQCDzzwgGIN0rkIPRa1tbU4ffo0CCHw+/3Y3d3NezzHEfzpM354fSH0tRAAp6GEtCmD6trQZqNCWEXiKQV1qmAwKKa3zWazqAQkyIsKUZSlpSUYDAbU19cjmUwe64yCVHnf42QIKZTD4iBbQgjB/Pw8AoFAVg+dWpnN7e1tbG1tob29XXEnAUi/Xo7jcOvWLVgsFly5cgUAxNr4Qq9rdmkXT/3zAlpbWnDPxXqcPyG9v8zv94vqQOX2WJTCD17j8crtBNQYgEp4Hu7Vl/Gm4Xa8/12XSz5PZrZBWANyh71lllM1NTWJQz/9fj88Hg8WFhZgMpmQTCYRi8UO5b0uhJJrZCQSQX19vaRjc5/RaqxIOIhDdxQikQjGxsbQ3d2NtrY2AOm6v2g0qvi1eJ7H7du3wXEcLBaLak4Cz/N49dVX0dfXh+bmZnAch93dXfj9/rwPSDhO8OVve+ELA4AVt5YBi10hwSIFH0ilt/Xq9ChIn6Og1WpFo0gIQSKREJ87g8EAq9WKmpoaMYoSi8VE6Tmv1wufz7dPNu2wUDJaEovFZKWTj4MhpFCqESHgZLPZxKw0cKd8Vsla8UxRj97eXsXOmwvLsuKmXQjIuFwuuFyugnbjZy8v4h+uL4InBLueEMYm52AwmNHW1oArZxpx74VamIz5N4Hb29twu90YGBg4NCWfQISD0WRHMh4BzyUBRgNGAXtNWBa7ay/hPQ+fxtseOK3AnaYR1pLMbIPwlTvsTeht6O/vB8MwiEajeP311zEzM4NUKgWn04n6+nrJw8zUQokeBQEp8qgNDQ3QarXY2trK+v7Ozs6+4Fq1c6ilR8KAi1xpt3wD18olmUzi1q1baGxsRE9PD1588UVFzy/g9XoRjUZxzz33wG63I5VKYWtrC9FoNK8R3HDz+Np3PUik1PkAKbphq94xC3eQ6ChoMwxGpvHQ6dLychzHIRAIwOfzQaPRwGQywW63o6mpCbFYTJQHzJRNE2o21XJAi6F0tESK9NtxMoQUSrUh9CP09fWhpaUl62dKOwpCVt9kMuHq1avY2tpCPB5X5NyZ+P1+rK6uoqmpCW1tbeA4DktLSwWDaADw19+5hZfHdvepaSeTMSwvr2F5eQ3/9AMt6usbcKa/AfdfqUdLvRGEELF6YGBg4FBLYj7wS0YkUzxuTOswuaKBN2xCMpUEm4oDhIAp4d7YVBy+tVfwL997FSOX8wpHlMX6Lo+//dEurPooBgdsuDKQLb8qzByIRqNwuVxZw950Oh0uX74syotmDjMT1slyZ1DIRclgmhT5cIPBgMHBQVy/fh2PPvqo+P3r16/jkUceUeQ+KsWhZBQIIVhYWIDP58sr7XbQ5GS5BINBjI+P49SpU4o3MGWyvr6O9fV1WCwW1NTUIB6Pw+VyFWxavjWfwrd+4gdPVPSyFVU9UppDzChogH9+bhGBmBFvGqxHW8OdzX2+us14PC5mGzY2NqDRaNDa2opTp06BECJmG4SMlRBFsdvtFYmiVDpaAhwvQ0ihHBb5NshbW1tYXFwUVfJyUXKNFEQ9Mge2ZZafKIXL5cLy8jL6+vqQSqWQTCYxPz9fMIjGcTy+8OcvYMUVO/DcPM9hd3cbu7vbeO5FwGpzoKXBiksnrXjT8IlDz/gCgEGvwb0XanDvhfS/F9Z5vDajx4bXgHhKg1QyAsKxgEZ7YIAvFQ/B77qJ3/vQGzHQr3xQZm6dw1M/DoDj9QjFHXj6VeB7L+2gxhDF6S4D7r/SCKfdKAbWhOCax+PBzs4OFhcXRaehtrYWDQ0NomPh8XgwNTUFjuPE2T12u131LLSUvjupSF0jP/GJT+CDH/wgRkZGcN999+ErX/kKNjc38dGPflS4p88AGCGEvCXjPs8CMABoAFDDMMxlACCE3FLk5kug4o6CMFDFarUWlHZT0ggKBvfy5cuqTdIjhGBmZgbxeBxDQ0N46aWX4PV64ff7C76OH7wSx89uhQGVewiqugJEjRYFieeMRFP49g9mAAA/eg5wOGzo6WrGyIVmDA7YoNWm37hclYjt7W1EIhEkEgmsrKxAq9WKvQ0tLS3o7OwUR8JvbW1hZmYGVqtVjKIorXcuoKRkazgclvxZOS6GkEKpBoQG31AohOHh4YKlMkqtkV6vF7dv394n6qHRaBRbg4UeC+E1eTwebG9vIxAIgOO4/OW4kTg++9UXEAiXdg+RUAALoQAWloDv/XQNbW2NuDzQgDdedBYsUao0JzpMONGRDlAFIyxemtBjbtOAUMKIVCIGjk0ADLOvRCkR8SK4fQu/8cunUGdnkEwmFV1Xxpc4/NNzgX3KTIzWgAhnwM0l4MZiCFrehY56YPi8A+dO1IoiMfPz82hoaCg47K29vR1dXV1gWRZerxebm5uYnp5GTU2NuE6qUSKmZKlzJBKRNJT3scceg8fjwac//Wm4XC6cP38ezzzzDLq7u4VDWgGcyPm1ZwB0Z/z79b3/HtpurmKlR8CdVGpvby9aW1sLHq+EERSMUzAYzGtwhQnK5UYaWJbF6OgoHA4HLl68CEIIGhoa8Nxzz4FlWTidTjidTnGwFyHAX/0whOnlRIV28UpeQ+E5CqrUMkmLgsUTHCwZtjUQCGF0PITR8Xn8hV6P9tZGnDvVggcH6+C0p5+dzc1N+Hw+nD17Nqu3IRqNIhwOA0gP4xEk8oSR8JFIBB6PBxMTEyCEiFEUm82mWISD4zjFUrlSjSBwfAwhhXLYJJNJjI2NweFw4OrVq0VtgxJr5OrqKlwuFwYHB/eVSyqVUeA4DuPj4zCbzWLTslAS5Pf7YTKZ4HQ6UVtbK67R6y4//vgvX0Mipcz6kEzGxRKl7/xQi46uE/g3H+iCUV895sZu1eGtIzU473LBHwgixnRgfMmI3aARiRQPNhkBCEE8vINUaA5/+Il3wmxg4Pf7MT8/D57nxSbjcoajvTzN4ocvBcAfYIoZRgNea8eqH1j9BcG3fuqCwxRDoy2ENw+3oaUl3QRfbNib4Dg0NTWBEIJwOAy3242xsTEAQF1dHRoaGkoaiqo2UkqPBJ588kk8+eSTeX9GCHk8z/d6yrk3NahYRmF7exsLCwsFU6mZlGsEM7MWhQyuINFWjqMQjUYxOjqKnp4etLS0gOM4uN1uEEJw7tw5sCwLv9+Pra0tRCIRGM02PHPTAU+IqVyov5pLjyR7+NLfK8mlR0V+lkqlsLy6ieXVTTz9IwZ1Tgfamh0Y6NTg4fvv1Lrm06ROpVLweDxwu93Q6XRiGVp7ezu6u7vFCcjr6+sIhUKiylJdXV1ZURSl6y+lOgrA8TCEFMphEgwGMTExgf7+fklKQ+WskZmiHkNDQ3lr9wsNDpVDPB7HrVu30NHRIarjbG1tYXNzE11dXejs7EQsFoPP58Ps7CwAwOUhePrnW+B4dRriTNYmmOzd0FbXvhOEEKysrIDjOAycPgWNRoPBvTEZm+4EXp40YGVXhzgfx8d+55dhMaWjXBaLBW1tbVl7DUG60+l0wm63S840//QWi+duBUqSb2V0JgRZE4I+J+Z/wENPltDTosG9F+vQ15He7+Ub9ra2tpY17K27uxu9vb1IJpPwer0lD0VVGynyqMeJirzjKysr2N7eLppKzaQcIyhs3jNVlPJRriEUJkmeP39ebFoWylIEx0Sn04njv3f9HP7XP3oRTVbaQlWZRVQZ6elFie8LIfB6/fB6/Zi4DXzvuU10tDfj8kAz7r/qhNV0Z5HN19sQDocRDAYBQCxRcjgcaG5uBiEEoVAIHo8H6+vrYBhGTL3KjQodRo8ChUIpH47jMD09jYsXL0p20EtdIxOJBEZHR9HU1ITu7u6CNqbcYF0gEMDExATOnj2L2tpacByHlZUVeL1e8ZoMw8BiscBisaC9vR3/eH0CP3nZJT1+JBNbQz86Onvw4bcS6HTVsy7yPC/Kiub7m7Q1GPHrDwrZ4sG858jcawjrjt/vx+bmJrRarZi1KSS08czLSbx6OwRFJNkZDVjGgfkdYP7ZFAi7joHWMD7wrrTnI3XYm9PpREtLy76hqBqNRvY6qbQSXzgclpxROA5UxFFobW1Fe3u75D9UqUbK4/Fgenp6n4qSktcA0s2sa2tr4qTlRCIBl8tVcPbD7DqHr3/fC5avfHS/2lJ22Rxik0KJb0s8nsD8wirmF1bx7X/WoKHBidMn2vAb72iHPmPxydWkJoQgmUxid3cXOzs70Ol0sFqtsNls6OnpEaMowuTLaDQqRlGcTueBURSlp07KyShQKJTS0el0GBkZkf07cpUBBVGP06dPo6Ghoeix5QTShKblK1euwGw2I5lMYmFhISuIlgkhBP/rm69gaiFY0vWkUNd2CSe6G/AvHgK0mupZE1mWxdzcnLgpVgKGYWCz2WCz2dDZ2YlEIgG/34/l5WWkUinYbDY4nU7YbDZoNBp862cJTC6FoVZQMeBeRKJ2f1lsbmBNWCcDgYCojpU57K23tzdrKOrS0lLBoai5KD2QNJFIVFy16TCpiKNgNBplGTW5m1shbbe9vY2hoSFJf8BSDCEhBLOzs4hGoxgaGhK19V0uV0GnI8USfOunISRTBBpZ+zgCZT64d9ccBak9Ckq8LzzPY3fXh7rmU9AUeWZzDZRgEAsNe2ttbRXTsx6PR2yabmhoQH19Pcxm877PiJLyqNFolDoKFEoFKSQhXgi5gS6Xy4WlpSXJoh6lro8LCwsIBALipOVIJIKFhYWiQyr/99+/gvnVkGIrXjYMmnregMsnLfiVN1RXGW4ymcTs7CxaW1slD+8qBaPRiObmZnGmUzAYhNfrxfLyCl5a7sSWT513HgA867dwsd+Cf/m+e4oely8bL6gNCnssrVYr9mE0NjbmHYqq1+vFbEPmLCAlM+5A+vNaDUpaleLwi73KhOd5TE5OgmEYDA8PS/7jyW3WEvoebDYbLl26JG70dnZ2ihp4vY7Bv3vMhpcmohhfTGLbxyGVImAkSKApgdxr8ISHptr6GmS8BKKwpF8xNFo9Bs6P4PcesUHOHj1ftkEY9ra9vZ017K2vrw8MwyAej8Pj8WB+fh7xeBy1tbXisDfhPEqWHh0UcaRQKIeHVqtFKpU68DhBRSkcDmNkZERyfbdcR0RoWhbmMADY24wuH1j2cc/VfriD81he3QJLtNDpTcLNS75+PjQaA1r67sWDl3S496zya1o0zoIBYDbJ30bFYjHMz8+jq6vrwOoHJRHKkOyOWvzZMzFs+ZSflSHgXruBe8478Vu/PiTr9/IF1g4a9pY5FNXr9YrrpCBTbjKZFAukCU7M3URFVY+UJpFI4NatW2hpaUFXV5es68iRfxN0pru7u9Ha2irqBWfWWxbDqNfiwSs2PHgl/ZBNLMTw6nQC67spROMEYLTQqJUOlf3eV/IDoHwzc6XuX6sz4uzFIfzrX7sjpVoKUoa9CdmGpqYmsSnQ7/fD4/FgcXERBoMB8Xhc0sZBCrRHgUKpLKVkFA4aiCYEt2pqanDlyhXZ66PUQFpm03JHRwc4jsP29jY2Nzcl/f5AXz0G+tIR9dllP372ygqm5zcQjSWhM1ihYTTg+fwyqoXQGWrQ2juCX30Dg4Eu5Z2EbU8cf/IdD1higFmfwIk2He6/VIuWhoOHbYbDYSwuLuLEiROHZmf/8QVgxxcHITwYFQKDuyuv4E1DLXj/uy6Xfa5C2YbMYW86nU4sUWpubkZ7ezs4joPf74fb7YbX6wXHcdjY2FBsKGp1l3Ury5HNKAjNUgMDAyWl7aQaQqFp+dy5c3A4HGBZFtvb2wiFQiU9KAzD4EK/BRf602mxzd0EfjEWw9JmCoEIAU8AjYITJBm5cxp4AhS8vMKbcDVaFCSetJzPuFZvwsXLQ/idd9coXu+azyjGYjFEIhEAaflVIdtw8uRJAHca+BcXF0VJ3vr6ejgcjpKyDHKk3ygUSuU5KOIfiUQwOjp6oBR5IaQG0oR1+MyZM3A6nWBZFqurq/B4PCWtj6d6anGqpxbAJbj9Mfz4pTWMTa3B44tAqzNDo9WD8HxR+22qaURTx3nc378Cp9GKZNKp6JyB+dUwvnE9DGjNYBggzlkwuQZMrEaggwetdcDw2Rpc6N8/RMzv92NtbQ2nTp1SZLNaKn1NcWy7DQjGTWCTMbBsHMD+mQ1yITwP9+oreNv93Xj3w+eUudkM8gXWhC+PxwOPxwNCiNgQXVtbi1OnTiEUCmF5eRk8z2N6ehqpVKrkdZLn+bvKSQCq2FEoNudgc3MTKysruHLlSlYdmhykpFaF61y9ehUGgwGJREIcba/Ug9LWaMT732JMq1FMzGAj0ISVXQ3CSqW25PZ7SK7xLx/Jm3o555Qoj1pqTabOYMXVwav47XfVqK5wW0h+1ev1wuPxQKvVivKrGo1GLInz+XzY2dnB3NwczGazWLMptflKrjwqhUKpLMXWL7fbjZmZGVy4cAF2u72k80vZOAnDTIWm5VQqhYWFBYTDYUXWx4ZaM97/jlN4/ztOIZ5k8f2fzeH1yU24vWFAY4BWZwJy7L3V2YO2zn58+G2AFq375gw4nU5YLJaS7++1KT++92ICjHa/48EwDDiYse4D1p/n8O3ntlFXw+J8nwn3XqhFOJS2ywMDA6oMFJPDlVNmXDmVrnAYX9Di1rwBO0ETEimCVDIM8DwYrbztYdpJeAm/+tBJvP1Np1W572SKw/JmDCe7rGKfQG5gjef5fcPeGCY9mK6trS1rKOr29jZmZ2dlDUWNxWJ3Xca9ah0FwRBmGqzMZuLh4eGy9HSLZRSEus5IJIKhoSFoNBrE43G4XC7ZShNSiEQimJubw8DJPozsGfb/37c1SChQSSK7MbzY5l3xDMAhqh6VgM5owxvuuYoPvc2iipPgCSTxxb/bhtUInO814v4rdbBZ7zzj+YxiJBKB3+/HysoKGhsbYbfbYbVaRZm8aDQKj8eDqakpcBwnDnuz2/dHuwRo6RGFUlnk2ul8joIg6rGzsyNZ1KMUCCFYXFyEz+cT1+FoNIqFhQUkEgnFo62EEOxsbeJstxa/+tCbodFocGvajV/cWMX84iZSLIFWb4Gj4SR6ervw+MPYkz81w2w2o7W1VZwzsLm5iVgsJg77stvtkqPJ119y4/kpgNFK2+QzWgN8MQN+Pgk8N+6DnongdGcd6ps5tDQcrqMgwDAMLvZbcLE//e8tTxIvTxmwvKNFLGVEMh4GzyUBRlM020A4Du61F/G+d5zFm9/Qr8q9JpIs/vipLcQ4C8CFUV/D4twJE95wvhZmky5vYE0Iru3u7oqluTabTfz75xuKyvN80XUyHA6XHKA+qlRtj4JgCAXPO5VKYWxsDHa7HZcvXy7bGBWKyLAsi/HxcVitVjFCGwqFsL29rUoDizBUZGBgICsVqZitlXuiqiw9Un7gmsGoh0anBc8REAn1rwZzLc6d6cYb+zbg9daJTcRK4fYl8N//1g3CWJCMAT+fAp6b8MGoi6O3WYs3XrLhZNedciDBKApKIz09PeL0y93d3axhb21tbejq6gLLsvB6vdjc3MT09DRqamrEKEpmhIuWHlEo1U3u+sVxHCYnJ6HRaMTglhpwHIeJiQkYDAZxmKnf78fS0pIqJRkcx2FxcRFGoxEnT54Uz3/lTCOunGkEMIi1rRB+8tIqrA4r3vtmJu+SlzlnQFCUy5TgFNR0CkX6/+7ZLUyu6cGUWGrKaLRgYcfkOjCxli5RaqsDhgqUKB0WLfUGvOeBdEQ9keLw6pQOows8QskasKkk2FQcIARMxtrHsym4117EQ8NNaLQlsLGxgdra2rIyN7nEEyy+8NQWEvzeBl1rgCdmwHMTwM/G/DDp4uht1eHeC3Z0taSPEQJrHo8HPp8Pp06dAsMwBYe9dXZ2ikNRfT4fNjY2MD09vW8o6t2Yca/6jAKQ9uDGxsbQ19enmNZwvoyC0LTc1dWFtrY2cBwHn88Ht9utygfZ5XLB4/Hg3Llz+wyUUqXvjOwSm2psZpZxRonO3MVTjfjQIyP49g8msOEh2HFHkUhyeZ0Go6UOv3T/Jbz3TUaEQiH4fD6sr69Dp9PB6XSirq6urHrTbW8c/+NvPSCa7HMwGg2SvAUzLmDGlQT4TTQ5OFzsN+O+i05otQS3b99GW1tbVp9OsWFvdrsdTU1N4s89Hg/GxsYAAHV1dfB6vbLmKFy7dg2f+9zn4HK5cO7cOXzhC1/AAw88UPB4hmEuAPgSgBEAXgD/C8B/JnebjASFUgaZ62M8Hsfo6ChaW1vR1dWl2jUF8RChfENoWt7Y2FDleqlUCrOzs2hoaEBzc3PB4zpbbPjQr0mvh9doNKJjIGRd/X4/ZmZmxJ85nU6YzWYQQvC1f9zEZsCsWPBOKFFa8wFrz3N4fnQDv/u+DmVOriAGnQY99X40W2Lo63NgcVOL12YM2PQZkEgxSCUj4FIJeNdfxm8/OoQr5zuQSqWyMjc2m03M3JQaWIvF05mEBMkfxWc0GiR4C6Y3gOmNOBg+gCYHh8snLeht5uF2b2NgYCCrAqXQsDe73S5mG4R1MnMo6muvvYbJyUlxjT1oX3hc1seqdxR2d3cxOzuLixcvKhrlzJVH9fv9mJycFCdJsiyL3d1dUedeSQghWF5eBsuyOHv2bN7oD8MopG0seyZF5XoUJCPnNUj9PBEeK8sL+MCvXITVak3Xas568LPX1rCyEUQwFAfhAVNNPd72pvP41fvSm3jBkHR3dyMej8Pn82FxcRHJZFJcYIRBNlLYcsfxP77lBTQSHA2NETsh4NnXges3PNAzYfS11qCuyZx9mIRhbzU1NaipqUF3dzd6enqQSqWws7ODz372s5icnMS///f/Hu9+97vx1re+tWCd81NPPYWPf/zjuHbtGu6//35cu3YN73znOzE1NZV3w8IwjB3AdQDPARgGcBrAXwCIAPhvkt4wCoUiro/CunXmzBnU1dWpdj1hWNvAwADq6urAcRzW1tawu7urShBNKGXq7OxEbW2t4ucXYBgGVqsVVqsV7e3tSCaTYqYhGkvg+pgdMb60Pg8p1JmjeOLX5Tebqw0hBKurq2BZFv39/WAYBic7zTjZmV5r/KEUXprUY36dxWMPvgHnTqUDuHq9Ho2NjWhsbATP8wiFQvD7/VhfX4derxcdNKmBtWicxR//zRaSkF7qQzRGbIeAH9wECMfDanRgbteD+y450OhMX7fQsDe/3w+fzydmmux2OxoaGtDb24ve3l60t7dja2sLL7zwAi5duoSRkRFcu3Ytb1/DcVofmQMcFcW8mEJTiwsxOTkJIG0wLl26pKhqAZBuVE4kEujt7RUnSV6+fBkGgwEsy8LlchWUn/MEkmAYgjq7/BpQjuPE5pnOzs6CRvaPv2NEOFZ++jiVCGP21T+XfPyp4Q9Db8wfTdab7LDYlcnoAMDNH/yhpOMYjQ59lx6VdOzi6LcQC7kOPO5cfz0+8a/eAbPZnPfnbl8Mz76wgrqGZrztHueB58uUNA2FQjCbzXA6nXA6nQXT2Zu7cXzp772AprxaYkIINEigzUkwdMaCobOOohMqMw2jxWJBW1sbNBqN2Bx233334ctf/jJ+8IMfYHBwEO95z3vynuuee+7BxYsX8Sd/8ifi906ePIn3ve99+MxnPgPkeLoMw/wugM8CaCaExPa+938B+F0AHYcdNaFQSkCRZ5bjOFn9bzzP4+c//zkMBgMuXbqkSs30Cy+8gHvvvRc7OztYWFgQr8OyLObn54s2LbvcMbTUm0pyIgKBAFZXV3HixIlDqwUPhlP4n9/alrVBlUu7M4b/491tVVN2JEAIwdLSEjQaDbq7u5UrH4rH4ff74ff7wbKsGLkXxDhyCcdY/I+ntpBS6G9ACIEOcbTWAYMDNbh0an/JV6b8Ks/zMBgM6O/vh8FgEJ2L69ev44UXXsAf/dEf4fXXX8fw8HDe60lYH4GMNbKa18eqzChwHAev1wur1YrBwUFV6i0F+be5uTmEQiGxrjORSMDlchXUpJ9e5fDXPwyA5RhY9DvoaODw5qF69LQdnO1IJBKYmZlBa2srGhsbi9/fodmOyjQzq/fMS8uI1Nc7CzoJANDgNOMD7xqQfFWtVou6ujrU1dWJ6Wyfz4fp6WkAQG1tLerq6sS6zfWdGK5921e2kwDsabDDhA0/sPEiwT8+vwuHJYV//b4W2Cw5JW0ZkRSDwYC2tjbRKALpz148Hscb3/hG3HfffQWvmUwmcePGDXzyk5/M+v7b3vY2vPDCC4V+7V4APxeM4B4/APCfAfQAWJL+qimUuxOe5zE7O4tUKoX77ruvLFGPg8htWo7FYlhYWCio/EcIwVe+8QpuLwVhMJrR2d6MofONuOecHTrdwev4zs4Odnd3cfr0acWDg1JxuWP42nd84DXqOAmEEJztSOH9b21X5fzlwPO82BPS0dGhqBNjMpnQ0tKClpYWsCyLYDAIt9uN5eVlWCwWMdug0+kQjrL447/dBqugo5alSvUih9tLW/iNd2RnczL3mnq9Hv39/WJmnuM4cBwHl8sFjuOg0+kKOgnHbX2smKMgdaCMMLzFYrGgvb1dtaYshmHgcrnQ1NSEy5cvizXb29vbBdWQnhtN4vsvBwBoAAaIshbMbgGz30vCoNlEkyOJe8/bcHmgbt8HTFA26uvrkyRZp5ijILv0qFJOq5zrKF96ZDKopzqRmc7u6LhTt7mxsYFoNIpIyoKnX6sBtOqokoDR4UQb2eckZGIymfZ9vniex1e/+lVRn7pYTanb7QbHcftqh5ubm/Hss88W+rUWAOs539vO+Bl1FCiUIqRSKYyOjqK2thZms1k1J0EIGMRiMbFpORgMYmFhARyXX/whnmDxX7/6C7j96SBbMhHDwuIyFhaX8a1n9GhubsKl04144KoTNebs+yaEYH19HbFYDAMDA4oKRchlYS0Gs4FHOMmB0Sh7H4Tncc9pHu+8T7nMvFLwPI+5uTnYbDa0tbWpei2dTpcVWBPU+6anpxFPAv98q1Y1Rw0A2mpj+I13FHbU9Ho9Tp06leWsCpOhv/zlL+O3fuu3ip7/uK2PVZVREIabnT17Fn6/X9YIeTnE43HMzc3BZDLh1KlT4HlebFouxN/+OIJbczGgwBTDJG/Eus+Iv/s58Pe/2Ea9NY6LJ4x44GoTIuEgVlZWcPr06aJR7EwOS/WoYo6CjOvIa1GQdl6tTI3ocsis21xcD+Op7wbBqOQkEEJwpTeJRx8ubOjzOQmEEPzlX/4lfvjDH+LmzZuSF+rcDYOEBq/cPxBT4PsUyl2DlMitIOpx4sQJNDc3Y2dnR5V7EZqW9Xo9Tp48CUIIdnd3sba2VvBe3Z4wPvenLyGWyP8x5tgUNjc2sLmxge//hIGzrgFnTzbiTVfq0ejU51U2Oizuv1KH+6/UIZFk8fJEAGPzMbhDuryzE+RAeA5vvarFfZcbFLrTnPMTgvm1CPo7rbLfQ6G6wul0Fm0cVwOGYcSeOVttM774dzvgNdL2SaXQ6ojit99T3Ek4efLkvoxWKBTCBz7wAfzhH/4hHnnkEUnXOi7rY9U4Cuvr61hfX8fVq1dhNpsRDodVmVkgTJLs6upCKBQCx3HY2dkp2LTMcgRf/U4A67uc5B0rT/TYDevxo1HgR7fcMGkCONvtRN8JLaQ+/kpNVZc7np3w6jhn+64j62jl5VH1+sovRgvrEXxNZSfhck8S739bYSfBaDSKPQmZfP3rX8e3v/1tfPe735XUaNbQ0ACtVoutra2s7+/s7BRbaLaQjoxk0rT3321QKJS87OzsYH5+HhcuXFBVujgUCmFsbAynT5/G6uoqUqkUtra2sLOzU3CDMzW3ja/93ThYTppVJ4TA69nFLzy7+MVLgMVqQ09HHX7pnvpDdxIyMRp0eNPVerzpavqeJxdCeHUqhA0PwEJe/wXhUnjvm0y4eNKhyr1yHI+vfHsT7ogFhAtnDXozm4pv81iWxezsLJqamtDQoI4TIwVfMIn/+fe74Bj1nIQWexRP/Fp7wb+dTqfDyZMn980gCYVCeP/734+PfexjkpyE47Y+HnrpEc/zmJmZQSKRwPDwsBjJ1Gq1shugD2JrawtLS0u4cuUKOI7DysqKqAmdr8QpGOVx7dteBKNlGC9Ghzipx81l4OZyEBZ9DF0NPH5puAGdLYWHWmkZZRxIufKoH3gggjlXCnObWsSJHRqNWnWiKjnIEh0FrcIp5YNIpTj81fc9YLTqDDIjhOBSTxKPvb24k9De3r4vW/DUU0/hm9/8Jp5++mnJzYMGgwGDg4O4fv06Hn30TqP59evXixnSFwF8lmEYEyFEUAp4K4BNAMuSLkyh3EUIw828Xi+Ghob2RTmlSDRKRXBGLl++DIvFgrW1Nbz88sswGo0Fgwc/en4e3/3JMvgyMtHRSAhTMyFMzazAaLKgu7MZw+cbMHjGDp1WndJjuTAMg/P9dpzvT5cNb+7G8PxoAHPrSSR5ywHDyBJ4cMALTYJgfT1U9nToXFiWw//4WxdCybTtzh30ZtYncKJNh/sv1aKlIfvvmEqlMDMzg7a2NlVVs6Sw7U2gzkawG0wo0ruXS3NNFP/q1+U7CZFIBB/4wAfwxBNP4AMf+ICkax239fFQMwrJZBKjo6Ooq6vDwMBA1h+w2Ih6uQhDqQKBQFbTstVqxebmJoLBICwWC+rq6uB0OqHVarGyzePPn/YgySppqBhEUxZMu4Db/xhDo/E2PvHhobxHHlaPgqNGg197kx3hcBi3p2/Ay3ZiZkOPQNwGGBWMZKnkJ2i00l6vTl9ZR0Gv1+I//XYXFjci+MXrASxucUiwpqILjFQIIbjQlcQHijgJBoMhr5Pw7W9/G3/2Z3+Gp59+WvY05k984hP44Ac/iJGREdx33334yle+gs3NTXz0ox8FADAM8xkAI4SQt+z9yl8D+AMAf8EwzKcBnALwHwH8IVU8otzN5Nu8cByH8fFxGI3GvKIewiygcuv5BZUbj8cjNi3H43EQQhCLxeByucCyrNhsarWmS1v+97dfx2uThct1SyERj2J2bgmzc0v4xx814jffcwnne6onyyDQ2mDCcP82rvZyaGqx44XxAKaWEghE9VmTmzV8HP/q1+rQXN+KVCqFQCBQ1nToXGJxFv/j77YQ5wrNGNAizlkwuQZMrGYPejvVacT8/Dw6OjpUlaCVykCPDQM96T3G/GoYL00GsbrNI0lMsisjcmmqieJ3HinsJGi1Wpw8eXKfQxyLxfAbv/Eb+K3f+i186EMfknXNg9bHT33qU/ijP/qjHx2F9fHQHIVQKITx8XH09/ejqalp38+VchQEY2symXDlyhWxcWZrawsWiwV9fX1ZI7w3Njaw6nXipTkTSOERxWXBsyySgQn85hMjBY9RcriLHHg+rSW8vLyMC+fT06LfjvRicn00jFmfMvcly1OQ8Ro4ielv3SHJSvW1W9HXnt6Qh2MsfnbDi4nFOPwRfUk1sIQQnO9M4l+8s7iT0NHRsW9D8b3vfQ/Xrl3D008/LanBPpfHHnsMHo8Hn/70p+FyuXD+/Hk888wz6O7uFg5pBXAi414DDMO8FcD/BPAaAB/S+tCfl31xCuUYIwz/7OzsREdH/mFcwhpZjqPA87w40XlwcBAMwyAUColNy5kqNX6/H1tbWwiFw/jez93Y9au3dzHZmtHYeQEtBytTVxye57GwsACTySTKh779DY14+xvSJUA3bwdxczaMcAx44j3NsNekHQe9Xl90OrTT6RRVf6QQDKfwpW9tS5YPzR30Rjg/ai12XIyxuPcCe2CJUiXp76pBf1dapj0YTuH5Wz5MryYRiGU7YlJoqInioyU4CfF4HL/5m7+JRx55BB/5yEdkv4aD1keXywUckfWxYnMUWJYVN/7b29tYWFjAxYsXC06A9fl8cLlcOHv2bMnXFBSU2tvb0dHRAZ7n4ff7sbu7W/B3nn4phudHIwp2E2eTSkahT8zh//rX98NiKrwx/PNnDdj0lO+o8ITF7ee/LPn4//DEg9AycQwMDOzT/5921eLZ6e4CvykPjk1i9EefOfhAABqdEb0X3ivp2LnX/grJuP/A4z743nvxzl+SPs1TbQgheH06iJcm0zWwvIQaWEIIWq1bePiqRpzZkGvshExC7uLzgx/8AJ/97Gfx9NNPZ011VpjqCwVSKMqiyBopDEUEskU9nM7CO+WbN2/izJkzkgUyckkmk3j99dfR0tKC7u5u8DwPt9uN1dXVgr8TCMfxX7/yPEIx9QZz2up60dpxAo+/DagxV5cJYVlWbPptaVFGuShTTtvv90Oj0YhOQ8E5P/44vvIPHsXq+QnPFS1RqhY4jsetmSBenvRjN6AD0ZqLrpM1Oi8evhCBw+FAbW0tbDZblmMtOAm573MymcQHP/hBPPzww/jYxz6mZu9MdT3gBaioCynUWwq6zIUGUQHlZxTyTZLc3d2F3+8voP8M/Pk/BzG/llTNSYhHvGixbuPf/e6boT2g9lJiBc2ByO1RcHu8+KU3DeWPUh3SIy3nNUhtZnbYq8sQMgyDq2ccuHjSiqmpKejNzRhd5DG3kUI0adon00cIwZn2BD70K+cRj8fh9XqxsLAglgg4nU7U1dXldRJ+/OMf47/8l/+CZ555Rk0ngUKhSERYk9bW1rCxsYHBwcEDRQXKWSMzm5br6+vBcRw2NzextbVVcFO0vO7Fl75+E8mUepkEZ+sFdHU0418+DOh01bWHSiaTmJ2dRUtLi6JNv7ly2slkEj6fDysrK0ilUlmbXIZhsLETw59+zw+ioDJQbonS+S4/3veW6pNw1Wo16G5iYUYUp06dwpYniRfHg1jYZBHPKeWtt0bxr993AoSQrOyN0WhEbW0t6uvr8ypRplIpfOQjH8Gb3vQmtZ2EI0PFHAWWZTE6OgqTyYSrV68eWJNXjhHc2trC4uIirly5ArPZLCo3RKPRgn/0770Yx/x6AoQwqvgJ4cAGLvek8JFH75d0PKNQMzMgr7avu7enYCpb2bdFncVGSinf/SNn8MbBEwceV2lYlsXU1BQ6OjpQV1eHMyfT308kOTx/y4db81G4AzpAa8RAWwIf+pW0xJvJZEJbWxva2trAcRz8fj+8Xi9isRjC4TAaGhpQX18Pg8GA5557Dn/wB3+Ap59++sChfxQKpTLwPI+pqSmkUqksUY9i6HS6ktZIoWn50qVLsFqtYFkWy8vLBYNoAl/6y+fBErUUaRg0dg3jTJ8Nj9yvzhpcDrFYDPPz8+jq6oLDoY5ykYDBYEBzczOam5vBcVzWYLJAzIQfTdhVU84DgBZHDI88VH3D4ID0fIKdnR2cOnUKOp0OHc06PNqcLr2KxVm8OO7H5GIceh3wO+9NlxsxDCP21xBCEI/HEQwGkUgkMDExgbq6OjQ2NsJms4HneTzxxBMYHBzEJz/5Seok7FExR2FzcxONjY1ob5f2AJbiKGRmLIaG0lHxeDwOl8slpnUL8atvNOFsN/DCRAyrWyxCMR4MNIo0m4bcC3jnG+z45YcuSv4dpcQeZD/opMjxSn5mZPXmyLlw8YzCww9cxEfeX7g35LDIdRIyMRq0eGikAQ+N7A0m2omjszl/JkCr1aK5uRmDg4PQ6XQIhULY3d3Ff/tv/w2/+MUvEAgE8Od//v9v77zDo6zSPnxPSSW9AWmEFDoISBEQG4hSE6odcV0bi2V1122u3d11Xf10d22LfcFGglRdFEEQUKRJDyFAgJCeTDItU9/z/YEzElKYITMpcO7rmuvSYTLvmXae8zvneZ7fu23eK1sikTSPSqUiJiaGrl27ejxnazQar1qICyEoKiqiqqqKYcOGERAQgNVqpbCwkPr6+nNed8igdHYfKMZgMKMN6oJKpUEoTZuveYNKHUC3npcxsl8g1wz2T5cjm91J4Hk2sDAajRw9epSMjAyvGz60Fo1G404r3Xu4jq+3WbzO0feG1Jh67pjWdE1Me3O2SDibkGAt1wyP45qmzZKBn09vXCLZbrdTU1PD0aNHueOOO+jSpQsZGRksWLBAioQzaDOh0KNHD68mNW93S5xOp7vV6ZAhQwAwm82UlZV5/DwZScFkJJ0+7q3Q2dj4Yz1HTtmoNQqEAPV5FI0ZKvczd2pPhg9K8ervfGtIrcLTHXzRjCu161l8hVfnCd4YrrUw/inXXsrN04Z4c+U2wW63c/DgwSZFwtmoVCpSuja/q6fVaklOTnan9UVERBAREcGcOXPYtm0b999/P6+99hrPPfccX3/9tU9fh0QiOT9UKhXdu3f3yvDSm800V9GySqVyFy0bjUaOHDmC3W73aFF0y9T+3DK1P7V6C+u2FrNr/wmqqoxoAkLRaAJQzkM0aANC6dpzJNcPU3NJhn9EwqpvK9h+WE2A2kKPBDVjBkXQM7np2sizqa2t5eTJk/Tq1csjfxl/8cM+HZ//YPebSBBCkNnVyq2TOsdJwvmiUqkaCL6AgAC6du1KXFwco0ePBiA5OZnrrruOBQsWnNOB+WKh45S5n4U3k6DLSbJ79+6kpKSgKAp1dXWtcq5MiA5k1tWni40NJgff7jZz8ISNGr2C0ylQn8PZV1GcGCt2kXNFNN1jVNTX13tVdOZLodCch0VTOFtYaPs2XcgLZ+ZW1yiomDl5BDOvH+jx87QVLpGQkpLSYuGiJ2i1WpKSkhrV/uzcuZMHH3yQZcuW0bNnT+D0wkEikXRePI2RNpuNH3/8kYSEBHfHlerqaoqKigDvT52jIoKZcW0mM67NxGJz8O32U2z98SQlpZWoNcGotYEIoZxz1g4MjaVr6iAuzywlOSoUhyOyVYvAplj0eQmF5UGo1CochHKkAo6staFSSukW7WRY3zCG9I5s8j2orKykoqKiycYebYnD6eSHgyYQ/hMJ/VPszB7ffOe89sSXIiEzM7NRAx1FUXjkkUeIjo7mxRdfRK1W8+yzz8oYeQZtarjm7eM9Wdw2VbRcVVWFTqfz2dFReBctk0ZHMGk01OqNfPFtCRXGKKr0YHcIVGpNg2s5HFaE8SDPPXQloSEadDodRUVFWK1Wd5FpWFhYi+PzVTEznHZn9rTIt9P/NM7+zqhU3JIzmsnX9G2f8bSAL0WCRqMhKSmpkSHTnj17mD9/Pnl5eW6RAJx3326JROIfvNnQAc+EgtFoZM+ePWRlZbnbcpaVlVFSUuKT+BgcqOXa0T24dnQPnE6FH/aWs/77Qk6VVCFUAWgDghECVGdtDHWJSqFrSm/mjVPQqqLR6XSUlJQQEBDg9jNqzeLc6VR4fWkJ1abQJusdhDqI0jpY+b3Cis3lxHRxMDAzmNGDoggM0FBaWoper6dPnz6t9qloLVqNhgWzk0+3Xs3Xs/OQkfJaDcIHpmRCKAzp6ST7Kv8VLjucynkb5/n6JKEpkfD73/+egIAAt0hwIWPkz3TYEwVPONtJ0m63U15ejslk8kt+masTQc41pyvlhRDsPGRmxyErJVUOLDaB3WokQnOSPz58FQHa0xNMQkICCQkJ7kLTsrIyTCYTYWFhxMbGEhkZ2YSZji9H7vmTCaX5QOVT6wFvahS8+CyF+DlwqlRqfnHDWMaNyfJmZF6x7rtjHDju4LJBXRnSOxyNhwrP1yIhOTm5kUg4cOAAd911F59++ilZWf57DyQSSdtzLqFQWVnJ4cOHGTRoEF26dMHpdFJUVOTTTbSGCOLDTNwyMZXU1Ms5eETHNz8UUXDkFFabgjawCyoVRMT3JjkpmTuug6AADRBGWFgYKSkp1NfXo9PpKCgoAHBvrHmT9lNvcfDv3DLMDg/9BTSB6CyBbNwHG/boCFabSIq1MWls84092gONRs3w/lEM7x8FwLFiI5v3nr8pmRAKl/VWuH60/+rV9h0q493PDhAYHEZGagIjB8UyIKPlTVIXvhQJ6enphIc3NIxVFIUnnngCq9XKm2++KYVBC3RKoXC2k6TLabm0tBSr1eqXa5aVlVFZWUn//v3dOx0qlYpL+3Th0j6n890KjlsoPOFk4uVXNvlD0Gg0xMbGEhsbi6IoGAwGampqOH78OCEhIcTGxroNVzTq9jHiU1oQCr5EeJF6FKR1EqKqwOSIRH2Obg/ipzMRlUpN9vje9M8Ix2q1NrJl9wVfbTpC7ppCFEVh997C08ZmSV0Z3LcrV1waQ5fgpoNMW5wkHDp0iF/84hd8+OGH9O3rn9OUjRs3smvXLsaOHcvQoUP9cg2JRNI0Go2mySYdQgiOHz9ORUWFu2jZZrNRWFjYYue/1mC32zl8+DAxMTFuf4F+mTH0y4wBhnKyzMDXW46z79BJ+mQkcMu4pjsbhYSEEBISQmJiortNaFFREXa73d322eUM3RTVdVZe/6wKp4cmZGejUmuwEsHRavjXZ0YCVVWkddMw5pIIenRv20Lmc9EzOcxda6HT29j0o45DJ+wYbYGo1C0v7YSi0CuhjD6JYdTV1REeHu7zhfKPB0t4f+kBnIrAbq9jz/469uw/TEBgMEmJ8QzuE8foQdEEBzWOk1VVVVRWVrZaJAD07NmzkaGoEILnnnuOqqoq3nnnHb+IhAspPnbY1KPmUBSFffv2odVq3W++y2beF07OZ+OadK1WK/369Wtxh6FXj2B69fAsz0+tVhMZGUlkZKTbcMXlDK3VarFaegG+yUlUqTUe5xS1LBR8KCK8eKouIRoenhNOnb6OLzefosLclRpLBGptEwVpQqBWa3jozvEM6BVPTU0NhYWFOJ1O9+5UaGhoq7+PazYWsvSrIw3yGG02G0ePneTosZMs+5+a+LgYemd24+ph8SR3Pb0j5g+RcLYIOnLkCLfffjsffPABAwf6py7DbDazdetWNmzYwO9+9ztGjRrFBx98QEqKd0X7EonkNN7OSU2dKLjarAIMGzYMlUqFyWTiyJEj2Gw2v4gEV+vQlJQUoqKimnxMSrdw5s0YAAzw+HnPbBPqcDioq6tztzmPiIggKiqKiIgI9yLveKmJ977Qg4/8BVQqNXZCOVwGh8usqJQ6xg4K5OphvvNQ8BXREYFMGZvAwOPHsdmslBmi2HO0nmq9FjQNN5GE4mT8UA2jB/VDr9e7MyXOxx26OXbtP8UHyw7ibGI9YbdZKCo6SVHRSVZ8qSE2No6+mXFcPiSWbrFBDURCa0900tPTG7WzFULw97//nePHj/PBBx/45dToQouPHf5EQQjhntzOdJJMTU1126BXVFR4ldvpKU6nk8OHDxMSEkKvXr381i7rTMOV1NRULBYL+dU+fD0ejjsttRsD+7RV1wMviplVp2tRjh09ytSr+7iPoQ+f0PHdASsna4IQ6khAhUat5dH51zGwd3cAt7+Aw+FAp9NRXFxMfX09ERERxMTENAg0nrJ6fQHLvz7WYt2HoiiUV1RRXlHFxi0QERFOWmoCSTF2rrg0udUiQa1Wk5iY2EgkHD9+nFtvvZV33nmHwYMHt+oaLREaGspdd93F/PnzmTx5MkII7Ha7364nkUgacrZQsNls7N69m/j4eHfRck1NDUVFRQ3iqC/R6/UUFRX5vXWoVqttcBp/poFWaGgoFYYQvtyp9au/QGigwuhBUX57/tbgyrI47TScTi+ViisuPX3/gaMGfjhg4FSVCofQMnlEIMMHRAE08BdwuUPn5+e73aGjo6O97va0fW8xi1bke5SdoChOKivLqawsZ+N3EBoWQbf4Llw9MrXVu/w9e/ZsUiS8/PLL7N+/n48++sjnxfMuLrT42KGFgmsidPWD37t3L7169XI7SdbU1FBdXe2XCdBms3Ho0CG6du1KQkKCz5+/JYKDg4kI10Kpb57Pk/fnkn49efTea1p8rE9rFLwQCkJROHr0KH379m2wMM5KDSYr9fQkVlVrZONuEzc8NIWsno13fLRaLfHx8cTHxzdI+yoqKiI4ONjjArqVXx9i5fpjXgtTvd7Ann0G9gBff1/mUYpSc6jVapKSkhpN4MXFxdx00028+eabDBs2zKvn9Ban00lUVBQGg4Ht27fzj3/8w704Adi9ezeDBw++DzgihPjSr4ORSC5Czmwh7ipazszMdM9x5eXllJSU+O36lZWVlJeX07t3b7+kdjaHWq1usMD9emsZmw5oUfmxniC2i5n7ZiSi8ZXBkQ9RFIUjR44QEhJCUlJSgxiuUqnonxFB/4zTqTfN+Umc7Q5ttVqpra11p31FRkYSHR19ziYsW388yUerD513CrPZqOeoUc/RY6UEBoaQmBjHkL7xjBoY1WSKUnOkpaU1Ot0SQvDaa6/xww8/sGTJEr92svIkPm7ZsoX58+dP6AzxsVMIBVf6iKsoy+FwUFFRgcFgaPZLe/iEEZPZyaBe3ufemc1mCgoKmlSkbYXvfRSa58pR/bjn5tEePI/vTjm8WWc7HI4GtSFNERcVwIwrozx6vrPTvurr66mpqSE/Px+VSuVOUTq7ne2yr/L5fENRq0+vGqUoxcfQO6NhilJLY09MTGwkEkpLS7nhhhv45z//yWWXXdaq8XmC6z148cUX6d69O2PGjHEf4SqKwt69ewHGAb9VqVRxwLVCiK1+H5hE0kk539SjqqoqDh06xKBBgwgLC8PpdHLixIkWN9FOlJn5dG0N3WLUXD4kkjQv8u+FEJw6dQqTyUTfvn3bteB3+YYKfjwW4BNj1OboEVvP7VOS/JZR0BpcWQ+RkZF07979nI/31HQuKCiogTu0q938sWPH6NKlC1FRUURGNmxn+93O43zy+WEUH2V32Gz17hSl5WtOpyhdd2UGI/q2/F3t0aNHoxN7IQRvv/0233zzDUuXLm1U0+drPImPP/kYvdEZ4mOHrlFQq9UcP36curo6t9Oy1WqlrKwMi8XS7N9t3FnNFz84UKm1fPpNGQmRTob37cJlAyPPOam5VHTv3r298j3wNb4sZm6+G4KKnOsuZc6UwR4+ka9GBN6IjuDgIL+pf5VKRWhoKKGhoSQnJzcooLNarURFRRETE8OXW06yZtNJLx2lz83pnb8qysurOFF5CX+a13yNi0sknP29LC8vZ/bs2bz44otcccUVPh1fc7gCxLvvvsvs2bNJT08HTk+QarWaG264gdtuu+1XwE3A84DvC4gkkosYtVqNwWDg6NGjDB8+nICAAOx2O0eOHMFoNDYbc7cfqGXVd1ZUmp98BdZYUSt1JMYKRg0Mp2/P8Gb/VvnpdFer1fo1HdcTVn1bwY/HtH4bgxAKA1IdzBrXMU3IHA6Hu4C8a1f/dS7SaDTExMQQExODEAKTyYROp6O0tBStVktUVBT5RUaWrS3ymUg4G0Vx4tREojOfWyQ0ZVr6/vvvs3r1apYtW9Ymp1+exMdrr72WvLy8f9IJ4mObnih40ydaURT3ZOcqWrZYLJSWlrbo8PzpV2XsOqr9uepfHUSFAVb/IFj1XSUxYXYG9wrmisExBJ11lNVUZ6P24pIeVkrLaiiqDMKpjkClas2uTeOJVKVSM2/OWK693PO2me0VEtqybdmZBXSunZSPVu5l+wG9X6+bkDKAO6Y0P9m7nFvPFglVVVXMnj2bv/71r1xzzTV+HaMLp9OJRqNh+fLl6PV6Jk6c6M5PdgXtgIAAhBDlKpVqOrAM2Ncmg5NILgJc6SY2m41Ro0ahUqkwm80cOXIEq9Xa7OJ59aYKthWoGzn8KupginWwZKMD1pfTNcrBsL5hXNr3ZzOypjobtSdTxibQu4eRLXv0nKwUOAj2mWgQisKYfnDtZe3/OpvC4XC4U6Pj4tquuFqlUhEW9nM7W4vFwpff5vP11kpf76E1ICI+i6yMFK67tPnHpKamNikSFi9eTF5eHitXrmyTzV9P4+NP4q5TxMcOmXrkcpIMCgpy53UZjUbKysqaFRpOp8KruSWU1YU0W7ur0gSgqw9g/W5Yt6ua8GArA9MDuXJoDLrqEiwWyzk7G7UV0RFabrr2dNqTTm9iw4/1HC7RYBGRqNXeiZizJ0+NWsMDvxjP8EvasQLfi1mlvTatNBoNazaX+F8kJA9g/qxEEuOa/t6pVCoSExMJDW3Y8q+mpoZZs2bx5JNPct111/l1jGfi+n28/PLLXHXVVfTv3x+gUcGkSqXqC4wFpgghmj8ClEgkHuMqWnb5C6hUKvcpqKIoTS6WhRC8u6KEEzXBqM5VbKYJpNwQyOofFFZ9V05smIP+aVpigiro0aP13dp8SVZqGFmpp7vflVbV8+2uOo6WOLAo3vsKuBCKg+uHB3DZQP+9zuOlJpZt0JGVHMjYIdGEd/E8pttsNgoKCkhKSmr3z2LzzmLWba3yu0jok5XCLdc0/3mmpKQQGxvb6P4lS5awaNEiVq9e3Sh++gtP4+PBgwehk8THDicUznSSrK6uxuFwUFNTQ1VVVbO7BYZ6By9/VEq9hwYrcLplqNEWynf5sOVALUFqQb+0CGK7OoiLan+hcCbREQHkXHF6IrFYrWzcXcP+4yqM9nP7CgANVtpabQC//sWVDB6Q7K/heoQ3PgrqdlIKi5bvZcMPxX69Rnxyf+bPTiSpBZHQvXv3RpNcbW0ts2fP5g9/+ANTpkzx6xhdOJ1OFi9eTHh4OOnp6ezYsYPXXnvNvbvo+n0qiuI6BVrA6Z2SDpt7KZF0FDzZDTeZTOzevdtdtFxWVkZZWRmnTp1q9m8sVgev5pZhtDftUtzimDSB1NQH8u1BEM5uRBwwMSDdydjBUYQEd6zlQ/e4EOZce3rHuM5o59tdOvKP2zDagk63CPcA4bQxYYidob2j/DbOQ0UGPvrahEoTyrZC+KGgjmCNhfRELWOHRNI9rvldb6vVSkFBAampqe1WP+ni6y2FrFjX+pq9lgiPy6RPZmqLIiE5ObnJU5Vly5axcOFCVq9e3ciR2R94Gx///e9/QyeJjx0q9ehsJ0m73c7WrVtRqVTNOhgXl9fz+rIahOr81aJKrcZGOD8Wwa5jBoLUFWQkarh6WDTJXduvTqEpgoM0TBgRwYQR4HA62HZAz7ZDdmotEWgCmv4xuHZWQoKCeeTuKwhQWdm9ezdhYWHExMQQGXnu2g3wxt/Zt7RHHmxFlZ4f9pWBSo1QnH4ZQ3xSP+6blXROkXB220G9Xs+cOXP49a9/zfTp030+ruZQqVQUFRXx5JNPAqfNkZrKjVWr1dTX1wPcAjwlhKhus0FKJBcoZxctK4pCXV0dX375ZbMOxhU1Fv6zovq8DcjORKXRYrBpf9pc09El0ErvlACuvDSGyLD2TdU9m8iwAKaMTWDKWKi32Fn9zVGKKgMx2kIbpV25UazcMi6EsCBBYWEhQgh3jZqvUlZ+zK9j2WYrqjO8DVRqNVYRysFTcKDYjJYakuNg5IAI+qT93GXIYrFw+PBh0tLSGrkMtweHj1ZhtejRBoahUWtQfBwnw2Mz6JPVg1vGqZsVuElJScTHxze6f/Xq1fzrX//i888/bzNB5W18XLx4McC7nSE+qs6hBn0qFe12ewODKvdFznCSHDx4MBqNBofD4TZXMRgMVFdXU1dXR5cuXYiJiSEqKordh40sWW9u8KPzJUII4rqY+fXNyR3W3ruyspLS0lL69OnDoRMOth60U6YPRaX92YnwyM6PCNRY+Nvvs4mKOD3hCSHcLUJra2sJDg4mNjaW6OjoZnsLH68OY+WeDJ+M22E1sOeblzx6bM/kKP684CqfXNcbnE6FH/ZWsHnHSU6WGTDX239KmWr9z+K0SEgmJaF5kdCtW7dGOyFGo5E5c+bwy1/+kltvvbXV4zhfPvzwQ55//nn27t3Lb3/7Wx5//PEGgmbhwoXcfffdtcBwIURhuw1UIvEvPouRiqI022v9xIkTlJaWMnjwYAIDAxsULbs8YmpqanA4HO7FbVGZgyXrzY0Mt3yJSrFy+8SO51rswuFwUFhYSFRUFN26dcPpVNh5UM+OfCPldT+bkWlEPffkxBIf/bPQstvt6HQ6dDodNpuNyMhIYmJiWnSGbonNu2v4aofT49MNABQbCRGnU78itOVkZWX61a/CW3R1Ftb9cJIf9xdTVVWDRhuKWhuIEEqrahrDYzPolZXG3PEti4SmWtd/+eWX/OUvf+Hzzz9v0/qNM/EkPj766KPU1tZmdYb42O5CweUkKYSgX79+wOnjtdLS0kaTphACo9FITU0NX2/Xc7iyq3c/Oi8JUht55JYkwkI61hGri5KSEnQ6HX369Gl0IlBUamHTHisnqoMwV27nsXtHEhzU9E6Kq0VodXU1Op2uQZeDMzsE+FIo2Cx69m34P48em54azWPzr/TJdVvDkRN61n53jCMnaqnVW37SDB5aXp9BXFI/7p2RTI9u3okEs9nMnDlzuO2227jjjjvO5yX4nO3bt/Pjjz/yy1/+kq+++orCwkLmzJnDtddey65duxYC84UQzXcfkEg6Nz6LkUIIbDZbg/sURSE/P9/dItq1G3nkyBEsFkujBavD4aC2tpZvtlexryTWr/ExADPzZyQQFeHfVpPniyuXv1u3bs0uGPOLDOzKNzL1injCQpuP867GFjU1NZjNZsLDw4mOjvbYsHPt1io27adVbVyF005kiJ1+PYMYMzi6w61LbHYHm3eWsXX3CU4WlyNUAWgDfhJeXqQnhcemk5WRxu0TNM2KhMTExCZ369evX88TTzzB559/3ub+V03RUnwcNmwYCxcuDOgM8bFdhYKrKCsuLo4ePXq4W2+VlZU1efIAoCiCd1eWUFgW5NeUlNguJh68MQltByhsPhvXCYzdbicjI8Pnpx1Wq9UtGpxOJ9HR0cTGxlJZH8/KPZk+uYbNUse+DS979NiMHjH86b62afvpKTq9hTWbjnPgcBUVNSacikA4z330Gtu9D5NGqIgIrG3WHbpbt26NjpYtFgs33XQTM2bM4O677+6QPb1Xr17NnDlzcDqd2Gw2hBD3Am93holQIjlP/CYU7Ha7u2i5Z8+eANTV1XH06FGcLcw1H68pJb8k4LyLeT0hMsjM/FndPe7L39bU19dTWFjol1x+l2GnTqdDr9cTEhJCdHQ0UVFRTZ7Gr9hQzs6jGp9+HkJRCNZayEzSMnZwFF1jvXNP9jdCCPYdrubb7ScoOFKC1eZAG9gFtUrdYopSeExPevRIZnRaIRqNxv2+nplS17179ya7bn377bf84Q9/YPXq1R55SrQ1Z8fH119/nXvvvVcKhbNxOBzNOkk6nU5qa2upqqpq9u+tNievfHyKWov/jt6EEPRKtHDH1PYt9m0ORVEoLCwkKCiI1NRUvy8YXcfa1dXVlBqi2G/0TXcdW30d+za+7NFjrxiexryZg31yXV9jt9vZs2c/JXWh7Dus41S5Eavd0aRoiEvswz0zU0nrpkFRFPR6PTU1Ne5gExMTQ69evRrtflmtVm699Vauv/56FixY0CFFwpmsX7+e//u//2PlypUCWA78WghR1M7Dkkj8gV+EgqtoOSMjw92qubKykuLi5psrOBxO3lhaSrXZf91dhBD0iLMwb0pih52HjEYjR48eJSMjw+9pOkIIzGYzOp2O2tpat69AdHQ0QUFBP4m2QL++VxGBZh66qWMawgFUVFRQcLSconI1+wpKqK3TnxYN6gCEorhPDcJiepKV2ZN5P50kuNyhdTqd2x26T58+Tfp3fPfdd/zmN79h5cqVJCd3zLWbC1d8XLVqFUKIZXSC+NguQqEpJ8mKigrq6upa/LK/+OFJqo1+nAQVhcsHKEy+3H/mJa3B6XSSn59PdHQ0iYnNG3P5i+NVoazc67nvQkt4KhQG9knhoduHdshJ0G63c+DAAXr06OG2ixdCsKegmm+2nuB4SR0Gkw2hCOISe3PX9FQyEhvvwLmCjUajob6+HrVaTVxcHEIIkpKSmDdvHmPHjuXhhx/ukO9Dc6hUqhRgIrBWCHGsvccjkfgBn8ZI12lufn4+AwcOJDw8HEVRKC4upqKiosXf/4kyMyu+raFKr/VL3Z4QCpdmOJl6hX/io9OpoFarWjXH1dbWcvLkSbKyshoVdrcFFouF2tpaqqur+Xq3Fp2tcaGtL4kKNrNgdiIaTcesoayoqKCmpoasrCx3erTRbGfDD8Xs2HeS0rJK1NpgQiOS6NtvEHdc13RNgtPpJCgoCLVajV6vJyIigpCQEOLi4jh06BAPPvggy5cvd7fT7wwUFxeTkpJyN50gPra5UDh69ChlZWXuoiybzUZ5eTlms9mj5zh4zMDGnXWcqARF5UODFaed6VcEMaK///oSl1TUk5hwft0TbDYb+fn5JCYmtluBzsmaLizf7ZvUI2t9Lfs3vtLiY4YNSmP+zYN9cj1f05RIaIqSChNfbipizMg+ZCU1f0yfkJDgPiK3Wq1UVVWxYMEC9u/fT3p6Os8++yyjR49uttC8g9J5VI1Ecn74NEYePny4QdGyoigcP36c6upqj2OdEIKd+XVsO/BTwa669aJBKA6uH6blskGNDa18gckiWLjSQG2dnvhwG8P7R3Bp3xivFsBVVVWUl5fTq1evdjVMFULwet4pKv24qQkQH2bmvpkd+yThbJFwNk6nwrZ9FRRXOpg5LrnZmoSuXbu6N0eFENTV1fHVV1/x3HPPUVdXx/33388dd9xBUlLHdNFugY754Z1FmwqFo0ePUl1d7TagUBQFh8OBXq/HZDI1KuQ65/OdMrF+ey1F5QKHaIVoUKzcNS2Snon+OaYUAhZ9aeDgcStalY24cBsj+3VhxMA4j8ZssVjIz88nLS2txUWpvynWdWHZjz4SCmYd+7/9Z7P/PmZYJnfOGuCTa/kam83GwYMHSUtL80n+65kiwYXD4eCee+4hIyODkSNHsmrVKrp37+5uvdZJ6BSToETSCnza9ejgwYP07NkTtVqN0+l0mzQZjUbq6urQ6XQ4HJ6nNAsh2H9Ez/f7DJTUaBBqD3x3zsZp4+bxYWT18E8v+qpahbc/N2CxORvcL5xWokLqGdwrlDGD4wnQNr/RUlJSgl6vb3FR2hY4HE7+taQUvdW/IiExqp5fZnfc9C9PRIKnJCQkNCkA9u7dy1133cVLL73E/v37WblyJf/5z39IT09v1fXamI75AZ5FmwoFm83mnvxcDpJnftFtNhtGoxGj0YjVavXquU9V1PP1Nh1HSpzYlBCPf0Aqp4GJl9SS1D2S2NhYwsPDffrjczoFby6vo7jK2ejf1NiJ6WJhcFYwY4c2PREajUYKCwvJzMxsE9OQliirCyJ3RxaoWj8RtyQUxo3uzS3T+rb6Gv7A1yIhPj6+kfhzOp0sWLCApKQknnvuuQ4bDDyg0w5cIvEQn8dIRVEaiISzf/8mk6lB7rY3FBw3smVPHSerVCiqc6fmqBUz4wbUEh1+urDUlXvvK46WOfn4KwN2Z8vd44TTTligiQE9g7ni0nhCQ06fGLgaezgcDtLT09u9jfnO/Fr+970JmwjyWzG5q0ako+JLkRAfH99kzcHBgwe54447+Pjjj93dMjspnSJGtnnqkWsibGoCPBO73Y7BYMBkMmGxeOduffDwKdbvqKXCGI7VEdJsS7LwQCMP35JMgEZFXV0d1dXVGI1GwsLCiIuL87j1WXPUWwX/XlqDznDux6pwEhVcT580LeNGdCU0WEttbS1FRUX06dOnXfItm8JYL/g+X8uRykisqgTU2vMLGlZzDfu//Vej+ydd3Z9Z1/mmDsLX+FokxMXFER3dMNVNURQeeughoqKi+Pvf/97uga+VdIpJUCJpBT6NkfX19e6ORp5sEJjNZmpra6mtrfV4c83hcHD48GEszjD2n9BQVNH0iXwXrZlfzepGSLAWq9Xq9moQQjRr8OYNPx5xsGqTHqeX76BQnASrjfRK0ZIebyImKpSUlJQOtaFSXWtl4486Ck46qLcHt6otqgshBL2727jpev929HEJ1PPBlyIhLi6OlJSURvcXFBQwd+5cFi9ezMCBA1t1jQ5Ax/nStkCbCoUHH3yQ4uJipk+fzoQJEzzeIXc4HG7R8JPja5MIIThx4gT19fXuL2qd3s7a7dUcKLJhtgWjUmsQQpAaW8+9M5Mb/SCEEOj1eqqrq9Hr9Q0M3rz54lfrFV7/rAaz9Xy+BwpdNEZiQnXMmtCL+Nj2PUloDrtDsO2whoOnwjEqCWgCPD9utZhrONBAKKiYcf1Aplzlv2NDIQTvfZZPQkIcVw2LoUuw559nW4mERx99FI1GwyuvvNLZRQJ0kklQImkFPouRJSUlTJ48mQkTJjB9+nQGDBjg1RxQX1/vFg3Nba653H2Tk5MbzD+lVfVs2FnL0RInNhFMtwgLd+U0XSRrt9upqalxp0G5DN5CQz2f/7/50cHGH/WtfvOEUNAKI5mJKq4cFk/3OP+m/JwPxnoHm3frOHDUSp0lEJXa+zozIQQDUu3MGte4Lagv+c/H2zhUVE9SYgJD+8Vz2cAogoM8i5O+FAmxsbGkpqY2uv/YsWPcdNNNvP/++wwZMqRV1+ggdIoY2aZCQVEUdu3axZIlS1izZg2pqalMmzaNSZMmebz4cjgcGI1Gt2hwjd/pdFJYWEhwcHCzbUNN9Q7WbasGBFOvOPcP7kyDN51OR0hIiNu9uKUfQlGpk3c/r8Hu9MVCT9AloJ7UeIXxl3XMiRDAqQj2FanZcyKUGms8msCWP0+LqZoDm/59+n9UKsaNSOTaMT2Ijo72SyGaEIK/vvk9x07WAqdt1BMSYunfqzvXDI8jIab5kxFfi4TY2FhiYhoWBSqKwp///Gfq6+t57bXX/CYSNm7cyK5duxg7dixDhw71yzXOoFNMghJJK/BpjNTr9axatYq8vDwKCwsZP3482dnZDB061Ks5wXUCUFtb695cMxgMHDt2jPT09BY36QwmO+FdPJuDXQZvNTU1WK1Wd2vQltyLl22ysbvQgK+nByEEaqeB1AQYPyKO5G4db4PN4XCydV8duw6bPe5OJYRCWlQFVw89vWkZFhbml9OTNxZv5cBRfYP71GoN8fEJDOgVx5WXxhIV3vT3ory8HJ1O51eRcOLECW644Qbeeusthg8f3qprNEcbx0foJDGyTYXCmSiKwr59+8jNzWX16tV07dqVadOmMWXKlEaLqOZwOp0YjUZ0Oh27du0iLi6uSSMOX+BqYekyIgsICHAv+M5c2O4+YmfJuloU4YeFnhAEaS2kxtZzR07HTM9x8WOBke2FQZjVaagCYxtNbC6hoFKpuX3GUIb1j6Gmpoaamhq30Uprj7ZdOJ0Kf3tzK0Wnapt9THR0FL3Su3PFpQn06vGzGPO1SIiJiSE2NrbBfUIInn76aSoqKnjrrbf8VoxnNpt59dVX2bBhA2vXrmXUqFF88MEHTR7v+ohOMQlKJK3AbzHSaDTyxRdfkJeXx/79+7n66qvJzs5mxIgRXs0RNpuNQ4cOcejQIZKTk31aY3AmLi8knU6H2Wx2G0q66v6EgPfXWDhe5lmHw/PFZjhJaqyRe24e49frtAZFUU53uNIFcbgsgNIadZOF5kIojO4rGDc8xu27YzKZCAsLcztD+yJe/PuD7yk43nKOtEqlIiIqht7pCYwdGkePbqdjsy9FQkxMTJMtTk+dOsXs2bN5/fXXGTVqVKuu0RztEB+hk8TIdhMKDS4iBPn5+eTm5rJq1SoiIyOZNm0aU6dOJS6u5c5ARqORffv2kZGRQVBQECaTCZPJxDleV6upr693L2zVajUxMTEcLIlk7Q4z/vzsbfV6YgJO8sf5Hcup+EyqqqooKSmhb9++BAQEUKYTbC0Iprg2CkUbj0qtwWKq4uCW17nnxhGMGNRQ3FmtVvd763A43M7QoaGhXu+kOJ0Kf3njO06U6M/94J/o0qULPVO7MWxALF04Sc+ePf0qEv72t79x7Ngx3n//fb937KitrSUgIIDJkycD8M4775Cent6qvNQW6BSToETSCtokRlosFr788kuWLFnCrl27uPzyy8nJyTlny2QhBMeOHaOuro6BAwcihHCnJxmNRr+N90xDSaPRSHBoBP/bHYvO4F3xtbfUVRwiVF3D4w9cR2Bgx2wl7XQ6OXz4MFFRUQ02No8UG9myW8/xytM1IwjBVYPgqmEN26ELITAYDG6zzuDgYHd69Pm0z37lve84ctL770Jol3CSu0eR2R3GX57Z6tbd0dHRpKWlNbq/rKyMmTNn8vLLL3PllVe26hrnoo3jI3SSGNkhhEKDCwrBkSNHyM3NZcWKFQQFBTFt2jSys7Pp2rVrgw+rpqaGgoICBgwY0OAoVVEUTCYTRqMRs9mMorTcUaG1WK1W8r4xsK8Imm0E7APqjVWkxdTwwO2XdajCrTOpqKigoqKCPn36NDlx1JkEWw8FUFgKo9JLGdK3ZUMa19F2dXU19fX1REZGunepznUU73AqPPvad5wq81wknE1AQCApyV0Z2q8bV14a7XG+5tlER0c38r8QQvDSSy+xb98+Fi9e7HePBKfTiUajwWAw0L17d/7xj39w1113NRAnx48fp7y8nBEjRvjikh3zSyqR+I42j5E2m42vv/6aJUuWsHXrVkaNGkVOTg5jx45tcLrtareq0Wjo1atXo/nSNbfW1tZiMHjQceM8qTM6WLjKhMnSuPOfL6k5tYduUQ4evfeaDmtA5iokj4uLIz6++dhXUWOhus5O357hLT6fEMK9aVlbW+s+jfekO5UQgpff3cKxU60/4QkIDCElKZ4h/eIZNTCKwADv3v+oqCjS0tIarWsqKiqYMWMGf//73xk/fnyrx9kS7RAfoZPEyA4nFBpc/KfWZ3l5eSxbtgyAqVOnkpOTw7Jly0hMTGTy5Mkt/iCEEG7RYDKZfC4ahID3/6en4KR/d0pMdSUMSbcxb+alfr1OaygtLaWmpoY+ffr4ZWdcUZQG3alaKjR3OBWeeXULJeW+C4AajZpuXePp36sbV4+IIy7SMyOjqKioRkFBCMG///1vvv/+ez799NM2MQhyOBxotVqefPJJFi9ezNKlS91dIywWC//4xz9477333LuOjz/+OAsWLGjNZ9kpJkGJpBW0a4y02+1s2LCB3NxcNm3axKWXXkpOTg79+/fnn//8JwsWLGgy3/tsXGlDdXV16PV6n53Il9UovPeFHqvdv5t1lce30adnFxbMvdyv12kNdrudgoICunXr1uhk2Ve4nKF1Oh1Op9NdaB4S0rBlvBCCF9/ezInS5pvDnC9qjZaEhHgG9YrniqGxRIS1vAHWnEioqqpixowZPPvss1x//fU+H+fZtEN8hE4SIzu0UDgTIQQlJSUsWbKEV155haCgIG666SZmzZrV5Jesuecwm81u0eB0tm6Hw+EUvLasjrJq/+6UGHVFXDU4mBnX9ffrdVpDcXExRqOxyZ0rf+A6ftXpdOh0OoKCgtyF5qDm6de+o6zCf7tkqFQMHDiIB25ouZ91cyLhP//5D+vWrSM3N9dvOcPN0aNHD2bNmsVTTz3lPon7/e9/zyeffMJNN93Er3/9a5YuXcq//vUvPvnkE7dB4nnQKSZBiaQVdJgY6XA42LRpE2+//TarV6/miiuu4Oabb2bcuHGEhIR4/DyuDRmXcGiNaHhjtZOqSh0OBZ+0CD0boShUHv+eUUO6c2tOx91Es9lsFBQUkJyc3GamqWcXmkdERBAdHU1YWBj/eGszxeXetZ33lsiYJK4c1ZfxQ5sPA5GRkfTs2bPR+k2n0zFjxgwee+wxpk6d6tdxnk0bxkfoJDGy0wgFOL3AuvXWW0lMTOThhx9m2bJlLF26lLq6OiZNmkROTg5ZWVkep+WcKRq8cbt0UXjKySdf6zCYFFCrUPvBYMVQdZjpV8VyzeiOWbzsaklrs9nIyMhot5ae9fX1VFdXU1FVxUdrqqnVe+fy7S0RcT25bVoWgzOa302IjIwkISGhwX1CCN59911WrVrFsmXL2swfw3Wsunz5cubNm0dubi7jxo0DID8/n6FDh/KPf/yD+fPnu/+mX79+XH/99bz00kvne9lOMQlKJK2gQ8XIPXv2MHfuXBYuXIjNZiMvL4+1a9fSu3dvcnJymDBhAl26dPH4+Vy1Bi7R4O2J/IGien44YKPCEIrNbsNhrQeVQKVu/Ymz4rBReeJ7Jl3VmynX+M+g02C0Ex52/ie+rpa0qampPql1Ox+cTqe7ZuSDFYXojP6N06Hh3UnN6MfdE1VotU2HgYiICNLT0xut1+rq6pg5cya/+c1vmDFjhl/H6aKd4iN0khjZqYQCwP79+xspuKqqKpYvX05eXh4VFRVcd911TJ8+nb59+3osGurr692u0N6KhpPlVjburqeo1I7B/JObpg8WzIbKg9w+rQfDBvqv6v5EmYUArXJebVddhXJCiCZ/8G2Nxerg6de+o7LKf0V6cFok3DoliyFZzQe7iIgIunbt2uj+//73vyxZsoQVK1Z41XfcV1x99dVERUXx+uuv061bN5xOJ7///e9ZsmQJBQUFBAQEuD/HIUOGcN111/G3v/3tfC/XKSZBiaQVdKgYWVdXh8FgaOBmqygKO3bsIDc3lzVr1tCzZ0+mTZvGxIkTiYiI8Pi5XR5DrtMGb0/k84/Xs+2gjbK6EKx2Jw6bCTg/0eCw1VN9cis3Zw/h8mE9vf57T1mxxcauAgMqh5GUeMHYIdFkpnq+2K+vr6ewsJCePXt67BvlL5xOheff/Jayav9uooWEd6NHRn/umqgioBmREB4eTkZGRqM1g8FgYNasWSxYsIAbbrjBr+NsijaOj9BJYmTHbAvQAk0d88TFxXHnnXdy5513Ultby4oVK3jmmWc4ceIE1157LdOnT2fgwIEt7naHhIQQEhJCfHw8FovFLRrs9nPXHqR0DeKWCafTR8qrbWzYbeZIsR29WSCECvV5FFYZK/fwwC0DyUqLO/eDz5N9xxx8vNaAoqgI1taQGOvgmktjSE85d/BQFIUjR44QGBjYrG9FW2Kx2Hn61e+orDH59ToRcWnccp4i4ZNPPuGjjz5i9erVbSYSnE4nixcvJjw8nPT0dHbs2MFrr73m7rZht9tZsmQJv/zlLwkMDHTvrOzdu5ewsLB2D24SicRzIiMjG+1aq9Vqhg8fzvDhw/nrX//K3r17WbJkCZMnT6Zbt25kZ2czefLkRgaQZ6NSqdzPn5KSgtFodBdDe7K51qdHCH16nE6BKiqx8N2BAE7VBGG1g91qBCFQeZDvba/XoyvZzn23jGFgH/+5FH+83sKh46e7GAptOCd0sHidExwn6Rbl4LKBkQzqFd1s7DOZTBw5coSMjAyvTnH8gdOp8NfXv6VC51+REBzejdT0c4uEpjYWTSYTN9xwA3fffXebiQQZHz2j0wmFcxEVFcXcuXOZO3cuer2e1atX8+KLL3L48GHGjRtHTk7OOc1rgoODCQ4OJi4uDqvV6hYNNtu5f2RdYwOZc83pItdqvYMNu0wUFtupNSgoAtTnmAgVxYm5ajfTr4hEsVZTVcU5Dd7Ohx/y7SzbWAuoQQUWZwhHK+DoF3YC1SV0jbIy5pJIBmY2nggVRaGgoICwsDCSkpLaXSQoisLTr26hssa//bnDY9O4aXIWQ1sQCeHh4U2KhKVLl/Luu++yevXqNg0aKpWKoqIinnzySQBCQ0MbjO/YsWMUFxe728G5fhcbNmzAZDIxePBgAH+2h5NIJG2EWq3mkksu4ZJLLuGZZ57hwIED5ObmMn36dKKjo8nOzmbKlCmNOrSdjUqlIjw8nPDw8EaiwZPNtbTEYNIST6ddllRZ2bw3gOOVQdgcKuxWI0JxotI0Xp5YjFUYKvZww8RMsFdx8qTjnAZv3iIEvLfGwonm/B60XSgzwrLv4LNvS4gLszK0TxgjB8a5uy0ZjUaOHTtGVlaWV/Uh/uK/n/1ArdG/DVeCw7uSmt6fX7YgEsLCwkhPT2+0/qqvr+fGG2/ktttu47bbbvPrOM9ExkfP6HSpR+eL2Wzm888/Jy8vj3379nHVVVeRnZ3NyJEjPV6E22w2t2iwWq0eX1sIwYFDRewsVFOm74LOoKAojUWDw2FDGA7w2H1jiAgPamTwFhcX5xPn4g0/Wlnzg2fOmBqVlfhwK8P7hnHZoDgUReHQoUNERUWRmNhyIW9bIYTgg2X7yT+qo7rWjBCA8G2XjfDYVG6a3JvhvZvX1mFhYXTv3niHa9WqVbzyyiusXr26zQrZmuLDDz/k+eefZ+/evTz66KM888wzfPnll9x///18+umnDBs2DDjdku6+++473fY3L681xdYX7swpkZzmgoiRQggOHz5Mbm4uK1euJCQkhOzsbKZOndqoLfm5MJlM1NXVodPpPNpcg5/z+MOjk/jxqIZjFQFY7FpsViPC4UCl1WKuK8Fad5g//epa4mPDmjR4i42NbZVzscMpeGt1PeU13hf6CqeNyCAzvVPUdIuoo1/f3m1Wg3YuCopqWLnuMMeOl6IINZrAUFQCfPX1DQ5LIDV9IHdNUhEU0PR736VLFzIzMxuJBIvFws0330xOTg733HNPuy242yE+QieJkReNUDgTl3lNbm4uO3fu9Ni85kzsdrtbNFgszU8qTaXoWKxONvxo4sAxG5V1CooicDptBNoO8+dfjSU4qLEQcBXrupyLXeZdgYGeteh08cVWC9/+aDwvvwc1dkLUOgakaZl0VToBWv+ag50PeqONNZuL2HeokvJqE06nOL071YrJJywmlZsm9WJE3+YFWnMiYc2aNTz//POsXr3aby3xvGX79u3s2rWLu+66y90T+k9/+hN33303AE8++SSfffYZjzzyCHPnzkVRlPMtUu8Uk6BE0gouuBjpqj3Ly8tj+fLlqNVqt5dRYmKiV3NpfX29ezHf3Oaa0Wjk6NGjjVJ0ag12Nu2pp7BUQ709kOpjn/Pkg9cT1qXxwszVqcnlXBweHu52LvZ07rLaBW+uMKEztD49Ryh2QrUm+qUFcdWl8YR18S5O+5MDhTVs2HacQ4XFWKxOAoJ+Oo05z+5WwWHxpKYPOi+RYLVaue2225gwYQL3339/h9iVb8P4CJ0kRl6UQuFMXOY1eXl5fP/994wcOZKcnByuuOIKj3fuHQ6HWzTU1//cl9jpdJKfn090dHSzu+82u8LmvSZOnqrklklpHhnFWK1Wt2gQQhAbG0tMTMw5dy/yNpjZkW/2iSmcCidRwfX06aFh3MhuhAZ3vCw2m93J+q3FbNtTSkmlEbvd6bVoCItOZcJl8YwdHNrs8XZYWBjdunVr9G9ff/01zzzzDKtXr27RXKc9EULw1FNP8eabbzJ16lRqamrcrd/mzZvX2jSpTjEJSiSt4IKOkUIITp06RV5eHkuXLsXhcDBlyhSys7Pp0aOHV3OpxWJBp9NRV1fnjpO1tbWcPHmSrKysFuOXsd5BoBYCA84dZxRFcbfO1uv1br+diIiIZrMHzBbBGyuMGMy+T88RikKQ2kBWkpZxI+OJjugYpwwAxWVGvv7+OPvyT2IwmtAGhqFRa1E8jJPBYfEkpvZj1ig9XeMjm1wzhYaGkpmZ2ei9t9vtzJs3jzFjxvDII490CJFwNn6Oj9BJYuRFLxTOxG63s3HjRpYsWcKmTZsYOnQoOTk5XH311R4fLzmdToxGIzU1NezatYvu3bufM9+ztWOurq6muroap9NJdHQ0sbGxjYpl/7vGwMHj/ipkUggPMtM3BXKu6eGna7QOp1Phh73lbNx2ghMlemwOBaEoLf5Kw6JTmXV9Jr27GaipqWlwvO1yhm5OJGzcuJHHHnuMVatWuQujOjJffPEFCxcupGfPnlx11VW+6l3dKSZBiaQVXDQxUghBeXk5S5cuZenSpRgMBiZPnkx2djaZmZleLfSsVisFBQUcOnSI1NRUvxlOCiHc8biuro6QkBCio6OJiopyZw/UGhUWrjRgtvrXD8luPEXvxHpum+EzV1+fUlNrYd3Wk+zYW4ROV4c2MAy1JuB0nGziow3uEk9y+iBuvbqeeuPpUyOXM3RUVBTBwcGEhISQlZXV2BDV4eDOO+9kyJAh/OEPf+iQIuFM/BQfoZPESCkUmsHpdLJp0yZyc3P55ptvGDBgADk5OYwfP/6cxUlms5k9e/aQnp5OcHAwRqMRs9nsM7fL5nA4HOh0Oqqrq7FYLERHRxMTE8tH6xWKyvxbyGSzGEkIPsmjd3dcZ0yr1crBgwdJT0+nuMLB198Vcay4DoPZhlAEqjO+7l2iUpgzqTej+/8cwFw9xaurqzEYDMTGxtKvXz/i4uIapKxt3ryZ3/3ud6xatarD1HF4io+LsjrFJCiRtIKLNkZWVlaybNky8vLyqK6uZuLEiUybNs2jtuRFRUXodDoGDhyIoijuQmiTyX9d61yGqzqdjtra2tPiJDCOzzZrsDr86xxtqDpGoFLKkw9dT2Bgxzt9d1FWVkZtbS0pqel8u6OEbbtPUFJWgVobikYb9FN6kiCoSxwp6Zdw90QVwUE/f9ZWq9X9/mo0GgYPHkz37t0b1I04nU7uvfdeMjMzefLJJzu8SDgTPxQtd4oXL4WCByiKwvfff09ubi5r166lV69eTJ8+nWuvvbZReyy9Xu/2ejizR7WiKJhMJrfBm79Fg9PppKpGxwdfOtCZ/LNb48JWr6dr6Cl+88sxHfZHf6ZIOLt3eHGZgf9tKuLwMR06fT3B4V25YVJ/xgxo/n0LDT2dilRVVUVVVRVqtZrvvvuOXr168cwzz7By5UpSUvznf9FJ6JhfBonEd8gYCdTU1LBixQry8vIoLi52exn179+/Qf62EIKCggLsdjv9+vVrlNttt9vd5m4Gg8GvYy4srueTdfX4WSOgryyki7qaxx+cgLYD1vW5cImEXr16NfhcHA4n3+8p57udJyg6UYJQBdJnyKRGIuFMgoODSUtLo7a2lsrKSkwmE0VFRYSHh7N69Wq6d+/OX//61w67XmhDOsUbIIWClyiKws6dO1myZAlr1qwhLS2NadOmMWnSJNavX4/D4WDixIkt9sk/UzSYzWav3S49wWoX/CtPR43evx+hxVxDj6gqHpw3yq/XaQ0tiYSz0ektlFTZ6J/e/ONCQ0MbFfVVVFTwl7/8hRUrVtCjRw/mzJnD7NmzSU1N9dnr6IR0iklQImkFMkaeRV1dHatWrWLp0qUcOXKE8ePHk52dTd++fXnllVeYOXMmWVlZ51wkOhwOt7mbXq/36RgPFzv5ZJ0ep+Lfj6+2LJ+YUAN//NW1HtUfthfNiYSzEUKw73ANGakxhAY3LxKysrIanLIrisLatWt54YUXKCgoYPLkyUyfPp3Jkyd73EDmAqVTxEgpFFqBoijs3buX3NxcFi9ejKIo3H///dx4443nNK9x4ToONRgMmEwmn4gGs0Xwz9xq9Gb/fgctpmoyE2qZf0vHzLkE70SCJzQlEgD27NnD3XffTV5eHhEREaxatYqUlBQmTJjQ6mt2YjrFJCiRtAIZI1vAaDTy+eef8/HHH7NlyxZGjhzJgw8+yPDhw73yBnI6nQ1EQ2tO5O0O+OcyKwaDAZXKf4t3Xel+ukVa+d194zr0znlZWRl1dXVkZWW1pnsPAEFBQfTq1avR4l9RFH73u9+hUql4+eWX2b59O6tXr+aJJ56QQqETIIWCD3j55Zf58ssveeqpp/jiiy9YtWoVUVFRDcxrPJkoXKLBlZ7kdJ5fcdXSjfVsO2A4b1doTzAbyhmYUs+dcy71y/P7Al+LhJCQEBITExtNpgcOHOAXv/gFn376KX369Gn1dS4gOsUkKJG0Ahkjz0FFRQU5OTncd999REREkJuby65duxg7diw5OTmMGjXKq8WiqxWq6+bt5prDKViy3sipmkCsduGVK7Sn1JzaQ1pXeOjOKy8qkZCVldWoMF1RFB5//HGMRiNvvPFGq69zgdFxvxxnIIWCD1izZg3XXHON+wcihKCwsJDc3FxWrFhBSEgI06ZNY9q0aV6Z15wpGhwOh1djqtTZ2bDLTOEpO3UmBYHKZz9QU10pw7Mc3Joz2CfP5w98LRKCg4NJSkpq9B4eOnSI22+/nQ8//JABAwa0+joXGJ1iEpRIWoGMkedAp9Oxf/9+Lr/850YXVquVr7/+miVLlrBt2zZGjRpFTk4Ol19+uVcdkIQQ6PV6dzG0t6KhuNzK5n0WTlaf2xXaU6qKd9K3RzDzb/NvYw9FEajV5z/F+lIkBAYG0qtXr0afnRCCZ555hrKyMt5++22vTpEuEjpFjJRCwc8IISgqKiIvL49ly5ahVquZOnUqOTk5XpnX1NfXu0WD3e5dB6NavZ1vdtdz+IQNnVFBEaBWn98P1lR3issHqJk90b+L4pNl9SzfWM2lfbowon/z/a+boq1EwpEjR7jlllv44IMP3FbukgZ0iklQImkFMka2ErvdzjfffENubi6bNm1i+PDhZGdnc9VVV3nleiuEwGAwuEWDtyfyZdU2tuytp6gyEKtDi81iQCgOr0RD5YltDOkTxZ1zRnp1bW+pNdj428IdKIqT9NR4xgztyoCMSI/XE74WCVlZWY3MX4UQPP/88xw5coT333//Yk8xao5OESOlUGhDzjSv+eyzz7DZbEydOtVr8xqLxeIWDTabd94IxnonG3aZyD9ho7pOwang8SLcqDvOoOQ6Jl3d2yODt/PleImZN5fXguZ0kBBOOzHhdi7tFcLlQ6IJDGh+vG0lEo4fP86NN97I22+/7bZ29xcWi8Vv77Wf6RSToETSCmSM9CEOh4NNmzaxZMkSNmzYwCWXXEJ2djbjxo07Z1vyM3H5J9TV1aHT6bw+ka/RO9i8x8yRMi31jsDTosFpB7WmyTgtFIWqEz/QKyWAyVeln9PgrTXU6q38beEOzOaGrWQDAoJITY7jsku6MqxfdLPF074UCQEBAfTq1atJkfB///d/7N69mw8//NBvPhkuZIz0L1IotBNnm9fo9XomT55MTk6OV+Y1VqvVLRqsVqtXY7BYnXy+uZyCYjBYtDidAnUzuyfGmmNMHhPJ1SN7UFNT4zZ4i4mJITY21qtJvCWOnTKxcEWdWyScjVAcRITYGJQRxNXDYho4QvtaJAQFBZGUlNRosi8uLmbOnDm88cYbXHbZZa2+TnMYDAaWL1/O559/zuHDh5k7dy4LFizo0DmvZ9FpBiqRnCcyRvoJp9PJd999R15eHmvXrqVv375kZ2czYcIErx1xTSYTtbWnTcG8OZG32+3s3ltAsT6BE9WhmO1B2CxGFKfNLRqEolB54nuuHpnKzOsHNjJ4i4mJITIy0ic76tW1Vv7+1nbq680tPk6jCSCpeyyXDkjg8sFxBPy0ueZrkZCVldXo1EcIwauvvsqWLVv49NNPG4kIXyJjZNsghUIHoaqqym1eU1lZycSJE90t5Tz90ttsNoxGI0aj8ZyiQQhBcXExJpOJXr16oSiweZ+J3YU2KnQKDoeC6qeJ0Fh9hJnXxHLlyIwGz+FwONyiwWq1ul2hu3Tpcl4/1MMnjLyz2oBK49nEIhSF0AAL/dICGD2oC+WnjvhdJJSWljJr1iz++c9/Mnbs2FZfpyXuu+8+li9fzoQJExg4cCCvvvoqs2fP5vnnn/frdX1Ip5gEJZJWIGNkG6AoCtu3byc3N5c1a9aQkZHBtGnTmDhxIuHh4V49l9lsdqcntRQnrVYrhw8fJjk5maioqNN/a3GwZV89+SdVGK3B2Kwmqk5sZcLoZKaM69fg713NSWpqaqitrSUwMJCYmBiio6PPSzRU6iy88PZ2LPX1Xv2dWq0hIT6GrNRQeiUpDOzfcgtUT9BqtfTq1atJkfDWW2/x1VdfkZeX51Xq2PkgY2TbIIVCB0Sn07nNa06ePMmECROYPn06AwYM8PgHbrfb3aLBYrE0+DchBCdOnMBms5GRkdHoOZ1OwQ8HTewqsFJSrmPKZQFcNqRHi9dzOp3odDpqamowm81ERUURExNDeHi4R6Kh4LiRdz/3XCScjRCCQJWZXilarh4WTWL8+Z9wBAYGkpyc3EgklJeXM2vWLF544QWuueaa835+T/jyyy/JycnhX//6F3feeScAeXl53HXXXWzZsoU+ffpQWlqKXq+nd+/efh1LK+gUk6BE0gpkjGxjFEVhz549LFmyhC+++ILExESys7OZPHmye0HvKfX19W7RcGactFgsHD58mB49ejS78WS1O9m6vx6tMDJ6SDePrlVTU4NOp0Or1RIdHU10dLRHO+7l1Rb+8c52rBbvRMLZqFQqYmKiGNArgWuGdyU60vuFvFarJSsrq8lUn/fee4/ly5ezfPlyv6cCyRjZdrSZUDhx4gR79+6ltLSUyZMnExkZ2aIpmeQ0er2eVatWkZeXR2Fhodu8ZujQoR6LBofD4RYNZrOZo0ePolKp6Nmzp1+O6Fw9r6urqzGZTISHhxMbG0tERESTY84/ZuD9/5lQaXyTxyiEQKuykNZNxdVDI0lPDjv3H/1EcyKhsrKSmTNn8pe//KVNvBEuv/xyEhISePfdd4mMjASgsLCQESNGsHbtWoYOHco777zDxx9/THl5OVOmTOGxxx7zWQqYj+gUk6BE0gp8EiNlfDw/hBDs37+f3NxcVq9eTUxMDDk5OUyePJm4uDivnstqtaLT6SgtLWXPnj2kp6cTFuZ57PAGi8Xi3lhTqVRu0dDU4rq0sp4X392Bzdo6kdAYFRGREfTNiOeaEd3pHn/uhX1LImHRokV88sknrFy5sk2+uzJGth1tIhT27NnDhAkT6N69O8eOHSMsLIybbrqJX/3qV6SlpfniEhcFJpOJzz//nLy8PPbv38/VV19NdnY2I0aM8KhoymUQpygK8fHxWCyWVhnXeIKiKBgMBqqrq9Hr9XTp0oXY2FgiIyPRaDTsP6Jn0Zdmn4mEplApFkb21TLtyq4tPi4wMJCkpKRGx8I1NTXMmDGDJ554gsmTJ/ttnC4OHz5M7969+eKLL7juuuvc9+fm5vLss8/y7LPPMmXKFHbt2kVRURFffPEFb731Fhs3bmzQgrAD0CkmQYmkFbR6ApXx0TcIISgoKCA3N9e9WM3JyWHq1KkkJCR4tCmm1+vZv38/vXv3xm63U1dXh8lkOufftQabzeY+aXA6nURHRxMTE0NISAinys3833s7sNks536iVqANCOQP94wkPrp5saDRaMjKympyof3pp5/y3nvvsWrVKr+JqzORMbJt8btQqK2tZfz48VxzzTX8/ve/JyYmhieeeIK1a9cSFxfHSy+9REZGxrmfSNIAi8XCmjVrGpjXZGdnM3r06CbzH10iISIigp49ewKnd/5NJpP7pMHfosHVvs6Vs1lWG8SGg9F+FQkAKBZ+fUNsi5NgQEAAycnJjd672tpaZs6cye9+9ztycnL8O86fePrpp/nvf//Lt99+S7dup4+07XY7f/nLX/j444/ZuHEj8fHx7sfPmjULg8HAkiVLfFKf4UM6xSQokbSCVk2aMj76ByEER48eJS8vj+XLl6PVapk2bRrZ2dl07969SdFQW1tLfn4+gwYNarAjbrfb3elJRqPRr+N2OBzuk4bSSisrN9Vit3vXpMRbNNoAfnXrMDJTml/gtyQSPvvsM9544w1WrVrl3tn3NzJGti1+t8jT6/VUVVUxbtw4YmJiAHjqqaf45S9/SXV1NY8//jhlZWX+HsYFR3BwMNnZ2fz3v/9lx44dTJ06lU8//ZTRo0fzwAMPsG7dOnd3B4PBwPbt24mJiXGLBDj944+IiCAxMZH09HS6detGWFiY3zoGqFQqIiIiTu+ShfRkw8GYNhEJD805P5Gg1+uZM2cODz/8cJuJBIBTp04xaNCgBhPavn37+Oabbxg5ciTx8fHudn/l5eWsWLGC2267raNNgBKJ5BzI+OgfVCoVGRkZPProo2zatIlFixah0Wi48847mTBhAv/85z85ceKEe3Ps+PHj5OfnM3jw4EZpMwEBAcTHx5OVlcXAgQNJSUnxuoDaU7RaLfHx8QRHJLNyk65tRMLNl7YoEtRqNZmZmU2KhFWrVvHqq6+yYsWKNhMJIGNkW+N3oaBSqQgKCuLkyZMA7g/vjjvu4JZbbmH37t18+eWXAH7f0b5QCQoKYtKkSbzzzjvs2rWLG2+8kVWrVjFmzBjuvPNOxo8fT3FxMSkpKc0+h1qtJjw8nO7du5ORkUH37t0JCwvzi936zoN1fLLe0ir3S49wnhYJCTHNiwStVttkupHRaOTGG2/kvvvuY/bs2f4d51n07t2bzZs3N/g9fPTRR1RXV3PvvfcCP/9W3nzzTbp37+734mqJROJ7ZHz0PyqVipSUFB566CG3sVt4eDi/+tWvGDduHAsWLODmm29m8ODB5yzA1Wq1xMXFkZmZyaBBg0hNTSUy0nOjM084dsrIK+9vx273ziPJWzTaAO696VIyezQvetRqNVlZWU3WHKxZs4YXX3yRlStXEh0d7c+hNkLGyLbFL6lHDocDIYTbZOOGG25g3759bNiwgbi4OJxOpzunfubMmZSWlrJly5bzuZSkBcrKyhg/fjzp6ekcPXqUQYMGkZOT45V5javFm8FgwGw2e+12eTbb9tey9FsrKrWfRYJi5YFZMXSLa1kkJCcnNzKDMZvNzJkzh7lz5zJv3jz/jrMJ9u3bx+233052djaTJk1i0aJFfPTRR9x///089thjwOnPRaVSkZyczLx583j66af9IupaSac4VpVIWoHXMVLGx47Dm2++yYsvvkhGRgZVVVVMmjSJadOm0adPH68W/4qiUFdXR21tLXV1dect6qprLTz3xlYcfhYJak0A9948lD5pze+wu04SmvKsWLduHU899RSrV68mISHBn0NtEhkj2xafC4UDBw7w1FNPUVJSQlpaGjfddBPDhg3juuuuIyIigi+++KKBOv3Pf/7DO++8w8aNG/1qzHEx8utf/5rrr7+e6667DqfTyffff+82r+nduzc5OTlemdcIIaivr8dgMGAymc5LNKz5rpJtB+sx2YJRqX3vWgmAYuX+WTF0P4dISEpKavSds1gs3HjjjcyaNYu77rqr3Yxbli5dyh//+Ef0ej2ZmZncfPPN3H333ajVahwOB1qtlhUrVjBnzhy+//57Bg8e3C7jPAedYhKUSFqBVzFSxseOQ1lZGXfffTcffvghYWFh1NTUsHz5cpYuXcqpU6e47rrryMnJoX///l4tMBVFQa/Xu0WDoijejavKwjfby9hfUEFtbR2+DkFqTQD33jSUPj2bFwkqlYrMzMwmC5M3btzIn/70J1avXu2uD2gPZIxsO3wqFAoKChgxYgRTpkwhMzOTr776CoPBwMiRI7njjju45557CA8PZ+HChaSnpxMSEsLdd99NUVERK1eu9Ls5x8WGS1GfjaIo7Nixw21e07NnT7d5jTc5fGeKBteRuaeYLQ7Wbath9xELRkuQz04YhMPC/bNjWvRR0Gg0JCcnNwq8VquVW2+9lYkTJ/KrX/2qQ7g7Hj9+nLi4OLeYKyoqIigoyH2UGhUVxYcffthR7evb/w2USPyLxzFSxseOR3Mxsq6ujpUrV7J06VKOHj3KtddeS3Z2NoMHD/ZKNAgh0Ov17tMGbzfXqmutfLO9nL35FdToamltfxm1JoB7bhxK3/TzEwlbtmzht7/9LatWrSIpKalVY/EVMkb6H58JBSEEf/7zn8nPzyc3Nxc4ncKxcOFC3n77bfr27ctjjz3GvffeS3FxMbGxsSQlJbFhwwY2bdrEoEGDWvlSJOeDy7wmNzeXzz//nMTERKZNm8bkyZO9yju0WCxu0eAqovYUq93Jxh06dhaYqTUFnneBs3BYWDAzmqSuzfdwbk4k2Gw2br/9dq688kp+/etfdwiRcDZWq5UXXniBJ598kuzsbD777DM+++wzsrOz23tozdHx3kSJxLd4FCNlfOy8GAwGd1vy/Px8rrnmGrKzsxk+fLjXosFoNLo7KHm7uWY02/nmh3J+zK+goqoGvExvUqu13DFrEJf0jm32Ma4i8KaKtbdt28aDDz7IihUrSE1N9erabYWMkf7BpycKd9xxBwUFBWzevNl9n9ls5oMPPuDNN99k5syZPPbYY7z++uscP36c0NBQbrjhho7smndRIYTgwIEDbvOa6OhosrOzmTJlilfmNVar1S0abDbvci0dTiebf6xlW76Jan2Ax07Nwmll6jADoQH1REREEBsbS3h4eIOJXKPRkJSU1Ghnzm63c+eddzJs2DB+97vfdUiRcCYrVqzgzTff5IsvvmDAgAE88cQTTJkypSPuOHbsN1IiaT0ex0gZHzs/9fX17rbku3fvZuzYseTk5DBq1CiPvIzO5EzR4O3mWr3FwcadlWzbfYrK6jqEaDm9Sa3WMnNCT2JCTT+5M8cQFRXVYJe9JZGwa9cu5s+fz7Jlyxp0TuyoyBjpW3wiFFzHd//6179YtGgRb7/9NgMGDHD/e11dHU8//TTr1q3j22+/bRNDDknrEEJw+PBht3lNSEgI2dnZTJ06la5du3q8mLZarRiNRkwmE1ar563eLBYL+fn51NoS+PGokwqdBjRN/8iFw8r8GVGkdAt154dWV1djMBjcBm+xsbGkpKQ0migcDgf33HMPffv25c9//nOHFwlnUlZWxhNPPEFpaSnPP/88ffv2be8hnU3neTMlkvPjnDFSxscLE6vVytq1a1myZAnbt29n9OjR5OTkMGbMmEYNMs6FyWSirq4OnU7n8eZaSUkJRqOR1B49+X5PDdv2lnOqtBpFaXhSoVZruXPOEAZmRQFNG7zFxsbSv3//JlOP9+7dy1133UVubi69evXy6nW1NzJG+gafnigcOXKEyy67jEmTJvHKK68QFRXl/rfS0lKSkpJYunSpuyd9c/mBko6FEIJjx465zWvUarXbvCYxMdHjz9Bms7lFg8XSvNOkSyScubshhODHQ3o27zZQolOD+vSCXzis3Dc9itTujdONXAZvOp2OgIAAYmJiSEhIIDY2Fq1Wi9PpZMGCBSQnJ/Pss8/K76LvkW+o5ELH4xgp4+OFi91uZ/369eTm5rJlyxaGDx9OdnY2V111lddF6PX19dTW1qLT6ZrdXHOJhMzMzAan5g6Hk237avh+dzknSqoQiuAXs4cwqFdUk8/jcDiora0lODiYwMBA4uLiSEhIcPspHThwgF/84hd88sknHXGRfSHQKX7gPu96tH79eiZOnMgdd9zBk08+SdeuXQGoqqpiwoQJvPTSS1x11VXnN1ofYzabCQgI8Fr9X8wIISguLiYvL4/PPvsMh8PBlClTyM7OpkePHh4HNrvd7hYN9fX17vubEglNceConk279Fw3OoYeTYgEF2q12p1uZDAYqKioYOvWrSxatIguXbqQkZHBK6+80hHbpl0IdIpJUCJpBV7FSBkfL3wcDgfffvstubm5bNiwgcGDB5Odnc24ceO8Lqi1WCzodDrq6urccbKkpASTyURGRkaLcUtRFHR6O7FRLafb9OzZk6ioKBwOB1VVVVRUVPDKK6+gKAq7du1iyZIlXHLJJV6NW+IxnSJG+sVHYeXKlcyePZvrrruOWbNmMXjwYBYtWsT777/Ptm3bWjT+aiv279/PvHnz+NOf/sS0adPkQvE8EEJQVlbG0qVLWbp0KUajkcmTJ5OdnU1mZqbHosHhcGA0Gqmurmbnzp3nFAmeolarSUxMbOQZoSgKDzzwAIWFhdhsNqKionjqqacYOXJkq68paUCnmAQlklbgdYyU8fHiwel0smXLFvLy8vj666/p168f2dnZTJgwoUkTs5awWq3s3buXkpISkpKSfPKZuETC2ezbt48HHniAhIQEioqKuPrqq/m///s/+T3wPZ0iRvpFKADs3LmTRx55hCNHjrh3JT766COGDBlyvk/pM44fP87EiRM5ceIEXbp04e2332bSpEnyR9BKKisrWbZsGXl5eVRXVzNx4kSys7M9Mq+pr69n9+7d9O7dG7Vajclkwmw2n7dxTUsi4bHHHsNisfDaa6+hVqspKipym69JfEqnmAQlklZwXhOUjI8XH4qisG3bNnJzc/nyyy/JyMggOzub66+/3qONsaKiIvR6PQMGDHCnDNXW1mIymc5rPGlpaU12Njx+/Dg33ngjb731FsOHD8dut7Nz5065keYfOkWM9JtQANDr9dTU1GA0GunWrZtXnXP8hd1u51//+hcbN27khRde4JlnnmH58uUsXrxYToY+pKamhhUrVpCXl8epU6eYMGEC06dPb9K8xiUS+vXr16CYyul0YjKZ3DdPRYNKpSIxMbHRjo0QgqeeeoqqqioWLlzodZcKidd0iklQImkF5x0jZXy8eFEUhd27d7NkyRL+97//kZSU5HYZbmqH/9ixYxgMBgYMGNDoM7Db7W5zN4PB4NH1e/ToQUxMTKP7i4uLmTNnDq+//jqjRo06r9cm8YpOESP9KhQ6Kl999RV1dXXMmjULgNtuu42VK1eyaNEiJk6cKBeQPqauro5Vq1axdOlSjhw5wvjx48nOzmbIkCEUFBRw+PBhrrzyyhbN3hRFwWQyYTQaMZvNzbpdtiQS/vrXv3L8+HHee+89+Rm3DZ1iEpRIWsEFFyNlfGxbhBDs27fP7WUUGxtLTk4OkydPJjY2ltzcXLKyshg4cOA5hZrrpKGurg69Xt/kY1JTU4mNbeylUFpayqxZs3jllVe44oorfPLaJOekU8TIi0YoOBwOnE5ns310586dy4oVK1i8eDETJ04EYN26dVx66aVeGY9JWsZoNLrNa3bv3o3ZbOYPf/gDt956q8cBSAjhFg0mk8ktGlQqFd27d3c7NJ75+Jdeeon9+/ezaNEitFrfuEBLzkmnmAQlklZwQcRIGR87BkIIDh06RG5uLqtWrcJmsxEYGMh///tfrzoMwukTeZcjtF6vRwjRrEgoLy9n5syZvPDCC4wbN86XL0nSMp0iRl4UQuHAgQM89dRTlJSUkJ6ezvXXX89NN90EnD62c3V1cE2G77//PqtWrWLTpk1s2LCBhISE9hz+BcnRo0eZPn06t99+O7t27WLXrl0NzGs8XcwLITCbzRgMBsLDw5sUCf/+97/ZunUrn3zyid87eFgslo5qFd8edIpJUCJpBZ0+Rsr42DH529/+xqZNmxgzZgwrV64kMDCQqVOnkpOTQ7du3bwSDYqiYLFYmiygrqqqYsaMGTz77LNcf/31vnwJTSJjZAM6RYy84IVCQUEBI0aMYMqUKWRmZvLVV19hMpkYOnQo77zzDoBbtQPcfvvt/Pe//yUsLIx169YxbNiw9hz+Bct//vMfhg0bxtChQ4GfzWtyc3PZtm0bo0aNIicnh8svv/y8F/dCCP7zn/+wbt068vLyvO5n7Q0Gg4Hly5fz+eefc/jwYebOncuCBQsu9j7oF/WLl1wUdOoYKeNjx8RkMvH000/z3HPPodVqEUJw8uRJd1tyRVGYMmUK06dPJzk5+bzjTE1NDTNmzODxxx9nypQpPn4VDZExskk6xYu/oIWCEII///nP5Ofnk5ubC5zuDb1w4UIWLlzIgAED+Pjjj4HTR69qtZoHHniAjz76iG+//ZZ+/fq15/AvWux2O9988w25ubls3ryZYcOGkZOT45V5jRCCd999l9WrV/PZZ5/5fQfjvvvuY/ny5UyYMIGBAwfy6quvMnv2bJ5//nm/XreD0ykmQYmkFXTaGCnjY+dECEFpaam7LbnZbHZ7GaWnp3u88K6trWXmzJk8+uijTJ8+3c+jljGyGTpHjBRCtHTr9MybN0+MHj26wX0mk0m88cYb4pJLLhF/+MMf3Pe/8847QqVSie3bt7f1MCXNYLfbxfr168X8+fNF//79xc033yw+/fRTUV1dLUwmU7O3119/XYwfP16YzWa/j3HNmjUiJCREvPXWW+77cnNzRXR0tMjPz2/wWi4yzjW/yJu8dfZbp0bGx85PeXm5eOONN8S1114rhg0bJh5//HGxY8cOYTQam42PpaWlYsyYMeLjjz9ukzHKGNks7T1/eXS7YHudCXF6o2fo0KE4HA727dvn/rfQ0FBuvPFGxo0bx9q1a6msrARg0KBBHD16lEsvvbRdxixpjFar5aqrruLVV19l9+7d3HfffWzZsoUrr7ySefPm8dlnnzXqI/3xxx/zySefsGzZskY+Cv7g6aef5vrrr3d3CQG45JJL3HmhAJs3b2bBggWMHj2aRx55hOrqar+PSyKRSJpCxscLh4SEBO655x6+/PJL/ve//9GjRw8ef/xxrrjiCp599ln27dvXoEug0Wjkxhtv5N577+WGG25okzHKGNnJOYeS6PQUFhaKuLg4MXfuXKHT6Rr8W0lJiVCpVOKzzz5rl7FJzh+n0ym2bt0qfvvb34pBgwaJ6dOni3fffVcsXLhQXHHFFUKv17fJOAoKCoRKpRL/+9//Gtz/6aefioEDB4qtW7eKpUuXirS0NDFs2DDx+uuvi9GjR4srr7xSGAyGNhljO9LuOyHyJm9+vnVqZHy8cNHpdOKDDz4QOTk54pJLLhG/+c1vxNdffy2uvvpq8fbbb7fZOGSMbJH2nr88ul3Qk6CLdevWiaCgIHHvvfeKsrIy9/2VlZViyJAhYv369e03OEmrcTqdYteuXeLRRx8VPXr0aBTw/MlTTz0lMjMzRWlpqfs+m80mnnzySdG3b1+xf/9+kZaWJh544AFRUVEhhBDi0KFDIjU1VbzzzjttNs52ot0nOHmTNz/fOj0yPl746PV68fHHH4sRI0aI+++/XyiK0mbXljGyRdp7/vLodlE0lL/66qtZsmQJs2fPpqSkhFmzZjF48GAWLVpESUkJGRkZ7T1EjxBCXOwdAppErVYzePBgBg8e3OaFUadOnWLQoEENzOL27t3Lxo0bGT58ONu3b6e6upo//vGPxMfHA9CrVy+0Wi0VFRWA/FwlEkn7IePjhU94eDg33HBDm6UanYmMkZ2fi0IoAEydOpUtW7bwyCOP8Kc//YmAgAACAgL44osvSElJae/hNeDQoUO8+eablJSUMHjwYCZMmMDQoUNRqVTyB9PB6N27N8uXL0eIn5uffPTRR1RUVPDHP/6RJ598krlz59K1a1ecTicajYbCwkIiIyPdBnPy85RIJO2JjI8SfyFjZOfngi1mboqhQ4eyfPlyNm7cyPLly9m0aRNDhgxp72E14MCBA4wcOZKCggI0Gg0vvfQSDz74IC+99BKAezKUdAwmTJhAUlISL774Itu3b+ehhx7ivffe4/bbb6d3795s3ryZ22+/Hfh5stu8eTNqtZrU1NT2HLpEIpG4kfFR4g9kjOz8XNA+Cp0Nu93OL3/5SwICAnjrrbcAKCoq4rnnnmPHjh3MnDmTP/3pT4A8iutILF26lD/+8Y/o9XoyMzO58cYbmT9/PkuWLOE3v/kN3377rXvCM5vNzJ8/n6KiIpYuXUpMTEw7j96vyC+o5EJHxsg2QsbHzouMkc3SKb6kF9WJQkcnICCA0tJSdyszIQRpaWk89dRTjBkzhhUrVrB48WJAHsV1JGbMmEF+fj7fffcdX3zxBfPnzwegW7du6PV6CgoK3I9dvnw5+/btY+LEiRf6BCiRSCQ+Q8bHzouMkZ0bKRQ6CE6nE7vdTnJyMtXV1W5vAEVRSExM5De/+Q2RkZF88skn7TxSSXP06NGDLl26uP9/xIgRjBkzhg8++IBdu3bx3nvvcc899zBkyBBuueWWdhypRCKRdB5kfLwwkDGycyJTj9oZh8OBVvtzTfmGDRsYN24cf//733n44YeB05OhWq1m69atjBo1ip07dzJ48OB2GrHEE1xH37t37+bBBx9k9+7d9O7dm759+/LWW2+5i7QucOS2nuRCR8ZIPyLj44WLjJFAJ4mRF03Xo45IQUEBixcv5tZbbyUrKwuAK6+8kueff57f/va3hIaGcu+996JWnz74CQsLo2/fvoSGhrbnsCUe4Dr6vuSSS/jmm2+oqqrCbrfTvXt3QObQSiQSSUvI+HhhI2Nk50EKhXaisLCQMWPGUF1dTW1tLb/+9a9JS0sD4L777sNkMrkLembMmEHPnj1ZtGgRFouFyMjI9h28xGvi4uIa/L+cACUSiaRpZHy8+JAxsuMiU4/aAZPJxIMPPojdbmf06NE8/PDDzJs3j9/+9rfuyVBRFBYvXsyjjz6KEIKoqCiMRiMrV67scC3rJJJmkDO95EJHxkgfI+Oj5CKiU8RIeaLQDqjVaoYMGUJMTAw33XQTXbt2dRfu/OY3v6Fnz56o1Wpuu+02xo4dy4kTJ6ivr2fAgAEkJSW18+glEolEIvEPMj5KJB0LpcBy3AAABAhJREFUeaLQTphMpgbV/0uXLuW2227j9ttv59FHHyUtLQ2Hw0FJSYk0HZF0VjrFbolE0gpkjPQDMj5KLhI6RYyUJwrthGsSdDqdqNVqZsyYgRCCuXPnolKpeOihh3jjjTcoKirigw8+IDQ0VObsSSQSieSCR8ZHiaTjIE8UOgBCCIQQqNVqli5dyi9+8QtiY2M5ceIE27Ztk63eJJ0VGbklFzoyRvoZGR8lFzCdIkZKodCBcLUDmzBhAjt27GDDhg0MGDCgvYfVgPLycqxWqzzulXhCp5gEJZJWIGNkGyHjo+QCpFPESOnM3IFQFIWHH36YtWvXsn79+g43CR48eJC0tDTuvfdeiouL23s4EolEIrlIkPFRImkfpFDoYPTv35+dO3cyaNCg9h5KA8rLy7nrrru48sor2blzJ/fcc4+cDCUSiUTSZsj4KJG0PedKPZK0MSqVSiU64IeiUqmuB+YCLwBWYD2wHbhHCCFnRIlEIpH4FRkfJZK2RwoFiUeoVKo4YIAQ4puf/n8AsA7YBtwrhDj50/1qIYTSbgOVSCQSiaQNkfFRciEjhYKkWVQqlVYI4WjufpVK1Z/TOyfbgHuACuBOoFAI8VXbjlYikUgkkrZBxkfJxYIUCpImUalUvYBbgEVCiMM/3ec+9nX9t0ql6gd8A2wF9MBsoK8Q4kj7jFwikUgkEv8h46PkYkIarkkaoVKpMoHNQCwQpVKp/k8IUXRmbuhPk6BKCHFApVJdC+wCdMBlchKUSCQSyYWIjI+Siw0pFCQNUKlUXYDfA58DW4CXAK1KpXpBCFF05mN/mgyDgLsAEzBWCHGgjYcskUgkEonfkfFRcjEihYLkbBRO737UCCE+UqlU5cBigKYmQ2AQcBVwjZwEJRKJRHIBI+Oj5KJD1ihIGqFSqboIIUxn/P8M4L/A+8DzQojjKpVKDSQJIU6qVKpoIYSuvcYrkUgkEklbIOOj5GJDnihIGuGaBFUqlQZQhBBLVSqVCvgAECqV6mXgXiBdpVLdLCdBiUQikVwMyPgoudiQJwqSFvlpAlQJIZSfdk7eAaqBVGCEEGJXuw5QIpFIJJJ2QMZHycWAFAoSjzij3duXwKXAlUKIfe09LolEIpFI2hMZHyUXMjL1SOIpapVK9QIwHhgsJ0GJRCKRSAAZHyUXMOr2HoCkU7EfGCqE2NPeA5FIJBKJpAMh46PkgkSmHkk85kznSYlEIpFIJKeR8VFyoSKFgkQikUgkEolEImmETD2SSCQSiUQikUgkjZBCQSKRSCQSiUQikTRCCgWJRCKRSCQSiUTSCCkUJBKJRCKRSCQSSSOkUJBIJBKJRCKRSCSNkEJBIpFIJBKJRCKRNEIKBYlEIpFIJBKJRNKI/we4NbW2iSqf1AAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from qiskit.visualization import plot_state_city\n", + "\n", + "sv=job_b.result().results[0].data.statevector\n", + "plot_state_city(sv)\n", + "# pl.figure()\n", + "# pl.plot(np.abs(sv)**2,'x')\n", + "# print(sv)\n", + "# sv=np.array((0,1,1,0), dtype=complex)\n", + "# sv/=np.linalg.norm(sv,2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e30a6408", + "metadata": {}, + "outputs": [], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "mu=1\n", + "\n", + "E, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv)\n", + "\n", + "# plot landscape\n", + "_=getfig(E)\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "cf5b29f3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sv=job_b.result().results[0].data.statevector\n", + "plot_state_city(sv)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3bda9f1d", + "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, - "id": "db872d90", + "id": "98f8c01f", "metadata": {}, "outputs": [], "source": [] @@ -934,11 +1126,105 @@ { "cell_type": "code", "execution_count": null, - "id": "bd442ac2", + "id": "d22e31e9", "metadata": {}, "outputs": [], "source": [] }, + { + "cell_type": "code", + "execution_count": 37, + "id": "9857366d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P= [0.77800629]\n", + "P= [0.3925917]\n", + "[0.77800629 0.77800629]\n", + "[0.3925917 0.3925917]\n" + ] + } + ], + "source": [ + "depth=2\n", + "inter0 = INTERP_init(xb[::2])\n", + "inter1 = INTERP_init(xb[1::2])\n", + "xb_0 = np.zeros((2*depth))\n", + "xb_0[::2] = inter0\n", + "xb_0[1::2] = inter1\n", + "print(inter0)\n", + "print(inter1)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "db872d90", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.550001\n", + " Iterations: 73\n", + " Function evaluations: 126\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "out2, job_b2, xb2 = qaoa.getlocalmin(xb_0, backend, mu,useExco=[True,False])\n", + "# plot histogram\n", + "md=job_b2.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "bd442ac2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[7.85264928e-01 3.92099418e-01 3.30659526e-01 2.25933073e-04]\n" + ] + } + ], + "source": [ + "print(xb2)" + ] + }, { "cell_type": "code", "execution_count": null, @@ -981,27 +1267,132 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, "id": "a91a7fa4", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.523343\n", + " Iterations: 10\n", + " Function evaluations: 21\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOASwe(CR, FR)\n", + "\n", + "mu=1\n", + "E, x0, job, ji = qaoa.getElandscape(backend,mu)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu)\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "id": "f510b25d", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P= [5.62375189]\n", + "P= [1.11895102]\n", + "[5.62375189 5.62375189]\n", + "[1.11895102 1.11895102]\n" + ] + } + ], + "source": [ + "depth=2\n", + "inter0 = INTERP_init(xb[::2])\n", + "inter1 = INTERP_init(xb[1::2])\n", + "xb_0 = np.zeros((2*depth))\n", + "xb_0[::2] = inter0\n", + "xb_0[1::2] = inter1\n", + "print(inter0)\n", + "print(inter1)" + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "id": "15243e59", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.388510\n", + " Iterations: 104\n", + " Function evaluations: 181\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "out2, job_b2, xb2 = qaoa.getlocalmin(xb_0, backend, mu,depth=2)\n", + "# plot histogram\n", + "md=job_b2.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] }, { "cell_type": "code", @@ -1068,7 +1459,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/newbeginning.py b/newbeginning.py index 92ef7f6..c2bf715 100644 --- a/newbeginning.py +++ b/newbeginning.py @@ -9,21 +9,32 @@ class QAOAbase: def __init__(self, CR, FR): self.CR=CR self.FR=FR + self.F, self.R = np.shape(self.FR) def createCircuit(self): raise NotImplementedError def cost(self, binstring,mu=1, plotsolutions=False): - # Reverse string since qiskit uses ordering MSB ... LSB x = np.array(list(map(int,binstring))) + excost=np.sum((1 - (self.FR @ x))**2) if self.CR is None: - return np.sum((1 - (self.FR @ x))**2) + return excost else: - excost=np.sum((1 - (self.FR @ x))**2) if plotsolutions and excost==0: print(x, (self.CR @ x)) return ( (self.CR @ x) + mu *excost ) + def cost_vector(self, mu, plotsolutions=False): + state_strings = np.array([''.join(i) for i in itertools.product('01', repeat= self.R)]) + costs=np.zeros((2**self.R)) + for i in range(2**self.R): + # Reverse string since qiskit uses ordering MSB ... LSB + costs[i] = self.cost(state_strings[i][::-1], mu=mu, plotsolutions=plotsolutions) + if plotsolutions: + print("min cost=", np.min(costs)) + return costs + + def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestatevec=True): if usestatevec: costs=self.cost_vector(mu) @@ -32,10 +43,11 @@ def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestateve if usestatevec: statevector = job.result().results[0].data.statevector probs = np.abs(statevector)**2 - E = costs @ probs[::-1] + E = costs @ probs else: res_dict = job.result().get_counts() for key in res_dict: + # Reverse string since qiskit uses ordering MSB ... LSB E += res_dict[key]*self.cost(key[::-1], mu=mu) elif self.num_params==2: E=np.zeros((nb,ng)) @@ -48,6 +60,7 @@ def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestateve else: res_dict = job.result().get_counts()[j+ng*i] for key in res_dict: + # Reverse string since qiskit uses ordering MSB ... LSB E[i,j] += res_dict[key]*self.cost(key[::-1], mu=mu) else: E=np.zeros((nb,ng,nd)) @@ -57,25 +70,18 @@ def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestateve statevector = job.result().results[l+nd*(j+ng*i)].data.statevector probs = np.abs(statevector)**2 E[i,j,l] = costs @ probs - # print(costs,probs) return E - def cost_vector(self, mu, plotsolutions=False): - F, R = np.shape(self.FR) - state_strings = np.array([''.join(i) for i in itertools.product('01', repeat= R)]) - costs=np.zeros((2**R)) - for i in range(2**R): - costs[i] = self.cost(state_strings[i], mu=mu, plotsolutions=plotsolutions) - # costs[i] = cost(state_strings[2**R-i-1],self.CR=self.CR, FR=FR, mu=1) - if plotsolutions: - print("min cost=", np.min(costs)) - return costs - def mix_states(self, qc, beta): qc.rx( - 2*beta, range(qc.num_qubits)) return qc + def mix_statesY(self, qc, beta): + qc.ry( - 2*beta, range(qc.num_qubits)) + return qc + + def apply_exco(self, qc, FR, gamma): for r in range(qc.num_qubits): @@ -315,15 +321,14 @@ class QAOAChoose(QAOAbase): # super().__init__(CR, FR) def createCircuit(self, x,useExco,barrier=False,sv=None): - F, R = np.shape(self.FR) gamma=x[::2] beta=x[1::2] - qc = QuantumCircuit(R) + qc = QuantumCircuit(self.R) if sv is not None: qc.initialize(sv) if barrier: qc.barrier() - qc.h(range(R)) + qc.h(range(self.R)) if barrier: qc.barrier() i=-1 @@ -331,11 +336,12 @@ def createCircuit(self, x,useExco,barrier=False,sv=None): i+=1 if ue: qc = self.apply_exco(qc, self.FR, gamma[i]) + qc = self.mix_states(qc, beta[i]) else: qc = self.apply_cost(qc, self.CR, gamma[i]) + qc = self.mix_states(qc, beta[i]) if barrier: qc.barrier() - qc = self.mix_states(qc, beta[i]) if barrier: qc.barrier() qc.barrier() @@ -346,16 +352,15 @@ class QAOANor(QAOAbase): num_params=3 def createCircuit(self, x,mu,depth,barrier=False,sv=None): - F, R = np.shape(self.FR) gamma=x[::3] beta=x[1::3] delta=x[2::3] - qc = QuantumCircuit(R) + qc = QuantumCircuit(self.R) if sv is not None: qc.initialize(sv) if barrier: qc.barrier() - qc.h(range(R)) + qc.h(range(self.R)) if barrier: qc.barrier() i=-1 @@ -375,15 +380,14 @@ class QAOASwe(QAOAbase): num_params=2 def createCircuit(self, x,mu,depth,barrier=False,sv=None): - F, R = np.shape(self.FR) gamma=x[::2] beta=x[1::2] - qc = QuantumCircuit(R) + qc = QuantumCircuit(self.R) if sv is not None: qc.initialize(sv) if barrier: qc.barrier() - qc.h(range(R)) + qc.h(range(self.R)) if barrier: qc.barrier() i=-1 diff --git a/newbeginning_unittests.py b/newbeginning_unittests.py index c2391ba..6732f7b 100644 --- a/newbeginning_unittests.py +++ b/newbeginning_unittests.py @@ -2,74 +2,88 @@ from newbeginning import * import numpy as np from qiskit import * +import itertools -class QAOA00(QAOAbase): - def createCircuit(self): - F, R = np.shape(self.FR) - qc = QuantumCircuit(R) +class QAOAst(QAOAbase): + def createCircuit(self,string): + qc = QuantumCircuit(self.R) + for i in range(len(string)): + if string[i] == "1": + qc.x(i) return qc -class QAOA10(QAOAbase): - def createCircuit(self): - F, R = np.shape(self.FR) - qc = QuantumCircuit(R) - qc.x(0) - return qc -class QAOA01(QAOAbase): - def createCircuit(self): - F, R = np.shape(self.FR) - qc = QuantumCircuit(R) - qc.x(1) - return qc -class QAOA11(QAOAbase): - def createCircuit(self): - F, R = np.shape(self.FR) - qc = QuantumCircuit(R) - qc.x(0) - qc.x(1) - return qc - -Aer.backends() backend = Aer.get_backend('statevector_simulator') class TestQAOA(unittest.TestCase): - def test_qaoa(self): - - FR = np.array([[1, 1], - [1, 1]]) - CR=np.array([1,10]) - # Normalize weights - CR = CR/np.max(CR) - - qaoa = QAOA00(CR, FR) - print("cost(00)=", qaoa.cost('00', mu=0)) - print("cost(01)=", qaoa.cost('01', mu=0)) - print("cost(10)=", qaoa.cost('10', mu=0)) - print("cost(11)=", qaoa.cost('11', mu=0)) - - qaoa = QAOA00(CR, FR) - circuit = qaoa.createCircuit() - job = execute(circuit, backend) - res_dict = job.result().get_counts() - print("dict=",res_dict) - statevector = job.result().results[0].data.statevector - print(statevector) - - print(qaoa.measurementStatistics(job, mu=0, usestatevec=True)) - print(qaoa.measurementStatistics(job, mu=0, usestatevec=False)) - - qaoa = QAOA01(CR, FR) - circuit = qaoa.createCircuit() - job = execute(circuit, backend) - res_dict = job.result().get_counts() - print("dict=",res_dict) - statevector = job.result().results[0].data.statevector - print(statevector) - - print(qaoa.measurementStatistics(job, mu=0, usestatevec=True)) - print(qaoa.measurementStatistics(job, mu=0, usestatevec=False)) - + def test_qaoa2qubit(self): + for mu in [0,1,2.2]: + + FR = np.array([[1, 1], + [1, 1]]) + CR=np.array([1,10]) + + solution={} + solution['00'] = 0.0+2*mu + solution['01'] = 10.0 + solution['10'] = 1.0 + solution['11'] = 11.0+2*mu + + + qaoa = QAOAst(CR, FR) + + state_strings = np.array([''.join(i) for i in itertools.product('01', repeat=2)]) + + for s in state_strings: + + # check cost function + self.assertAlmostEqual(qaoa.cost(s, mu=mu), solution[s]) + + # check measurementstatistics function + circuit = qaoa.createCircuit(s) + job = execute(circuit, backend) + res_dict = job.result().get_counts() + statevector = job.result().results[0].data.statevector + + self.assertAlmostEqual(qaoa.measurementStatistics(job, mu=mu, usestatevec=True), solution[s]) + self.assertAlmostEqual(qaoa.measurementStatistics(job, mu=mu, usestatevec=False), solution[s]) + + def test_qaoa2qubit(self): + for mu in [0,1,2.2]: + + FR = np.array([[1, 1, 1], + [1, 1, 1]]) + CR=np.array([1,10,2]) + + solution={} + solution['000'] = 0.0+2*mu + solution['001'] = 2.0 + solution['010'] = 10.0 + solution['011'] = 12.0+2*mu + solution['100'] = 1.0 + solution['101'] = 3.0+2*mu + solution['110'] = 11.0+2*mu + solution['111'] = 13.0+8*mu + + + qaoa = QAOAst(CR, FR) + + state_strings = np.array([''.join(i) for i in itertools.product('01', repeat=3)]) + + for s in state_strings: + #print(s, qaoa.cost(s, mu=mu)) + + # check cost function + self.assertAlmostEqual(qaoa.cost(s, mu=mu), solution[s]) + + # check measurementstatistics function + circuit = qaoa.createCircuit(s) + job = execute(circuit, backend) + res_dict = job.result().get_counts() + statevector = job.result().results[0].data.statevector + + self.assertAlmostEqual(qaoa.measurementStatistics(job, mu=mu, usestatevec=True), solution[s]) + self.assertAlmostEqual(qaoa.measurementStatistics(job, mu=mu, usestatevec=False), solution[s]) if __name__ == '__main__': From 89b2f6a2d03e638de58b61899218253af1db3510 Mon Sep 17 00:00:00 2001 From: Franz Fuchs Date: Tue, 12 Oct 2021 10:35:49 +0200 Subject: [PATCH 08/12] iteration --- mixercalc.ipynb | 249 ++++++++++ newbeginning 3 qubit.ipynb | 652 ++++++++++++++++++++++++++ newbeginning.ipynb | 917 +++++++++++++++++++++++++------------ newbeginning.py | 139 ++++-- newbeginning_unittests.py | 19 +- 5 files changed, 1648 insertions(+), 328 deletions(-) create mode 100644 mixercalc.ipynb create mode 100644 newbeginning 3 qubit.ipynb diff --git a/mixercalc.ipynb b/mixercalc.ipynb new file mode 100644 index 0000000..9011396 --- /dev/null +++ b/mixercalc.ipynb @@ -0,0 +1,249 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "11322472", + "metadata": {}, + "outputs": [], + "source": [ + "from sympy import *" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "08f0238f", + "metadata": {}, + "outputs": [], + "source": [ + "x0 = symbols(\"x0\")\n", + "x1 = symbols(\"x1\")\n", + "x2 = symbols(\"x2\")\n", + "\n", + "y0 = symbols(\"y0\")\n", + "y1 = symbols(\"y1\")\n", + "y2 = symbols(\"y2\")\n", + "\n", + "z0 = symbols(\"z0\")\n", + "z1 = symbols(\"z1\")\n", + "z2 = symbols(\"z2\")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "1d0c09a3", + "metadata": {}, + "outputs": [], + "source": [ + "a0=1/2*(x0+I*y0)\n", + "a1=1/2*(x1+I*y1)\n", + "a2=1/2*(x2+I*y2)\n", + "\n", + "ad0=1/2*(x0-I*y0)\n", + "ad1=1/2*(x1-I*y1)\n", + "ad2=1/2*(x2-I*y2)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "2c6eb5c0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle x_{0} x_{1} x_{2} + x_{0} y_{1} y_{2} + x_{1} y_{0} y_{2} - 1.0 x_{2} y_{0} y_{1}$" + ], + "text/plain": [ + "x0*x1*x2 + x0*y1*y2 + x1*y0*y2 - 1.0*x2*y0*y1" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4*simplify(a0*a1*ad2 + ad0*ad1*a2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "00748220", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "47286d39", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "338bc5ee", + "metadata": {}, + "outputs": [], + "source": [ + "I = np.array([[1, 0],\n", + " [0, 1]])\n", + "X = np.array([[0, 1],\n", + " [1, 0]])\n", + "Y = np.array([[0, -1j],\n", + " [1j, 0]])\n", + "Z = np.array([[1, 0],\n", + " [0, -1]])" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "765b9d3c", + "metadata": {}, + "outputs": [], + "source": [ + "A=1/4*(np.kron(X,np.kron(X,X))+np.kron(X,np.kron(Y,Y))+np.kron(Y,np.kron(X,Y))-np.kron(Y,np.kron(Y,X)))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "7769a571", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[0., 0., 0., 0., 0., 0., 0., 0.],\n", + " [0., 0., 0., 0., 0., 0., 1., 0.],\n", + " [0., 0., 0., 0., 0., 0., 0., 0.],\n", + " [0., 0., 0., 0., 0., 0., 0., 0.],\n", + " [0., 0., 0., 0., 0., 0., 0., 0.],\n", + " [0., 0., 0., 0., 0., 0., 0., 0.],\n", + " [0., 1., 0., 0., 0., 0., 0., 0.],\n", + " [0., 0., 0., 0., 0., 0., 0., 0.]]),\n", + " 0.0)" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.real(A), np.max(np.imag(A))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9fbbb1eb", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "f4f5de76", + "metadata": {}, + "outputs": [], + "source": [ + "zero=np.array([[1],[0]])\n", + "one=np.array([[0],[1]])" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "5c3f2969", + "metadata": {}, + "outputs": [], + "source": [ + "zzo = np.kron(zero,np.kron(zero,one))\n", + "ooz = np.kron(one,np.kron(one,zero))" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "7c0e1e9b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.0, 0.0)" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.max(np.real(A.dot(zzo)-ooz)), np.max(np.imag(A.dot(zzo)-ooz))" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "2e96183b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.0, 0.0)" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.max(np.real(A.dot(ooz)-zzo)), np.max(np.imag(A.dot(ooz)-zzo))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8bbfcca8", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/newbeginning 3 qubit.ipynb b/newbeginning 3 qubit.ipynb new file mode 100644 index 0000000..459c2f9 --- /dev/null +++ b/newbeginning 3 qubit.ipynb @@ -0,0 +1,652 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 32, + "id": "a88a8c77", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The autoreload extension is already loaded. To reload it, use:\n", + " %reload_ext autoreload\n" + ] + } + ], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2\n", + "# %matplotlib inline\n", + "import matplotlib.pyplot as pl\n", + "pl.ion()\n", + "import numpy as np\n", + "import sys\n", + "sys.path.append('../')\n", + "\n", + "import os\n", + "import copy\n", + "from qiskit import *\n", + "from qiskit_utilities.utilities import *\n", + "\n", + "from qiskit.visualization import plot_histogram\n", + "\n", + "from newbeginning import *" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "1096f1c6", + "metadata": {}, + "outputs": [], + "source": [ + "backend = Aer.get_backend('statevector_simulator')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "913fbe8f", + "metadata": {}, + "outputs": [], + "source": [ + "# from qiskit.providers.aer import StatevectorSimulator\n", + "# backend = StatevectorSimulator(device=\"gpu\")" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "742fbfa4", + "metadata": {}, + "outputs": [], + "source": [ + "# FR = np.array([[1, 0],\n", + "# [0, 1]])\n", + "# CR=np.array([1,1])\n", + "\n", + "# # Normalize weights\n", + "# CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "bce5ef0f", + "metadata": {}, + "outputs": [], + "source": [ + "# FR = np.array([[1, 1],\n", + "# [1, 1]])\n", + "# CR=np.array([1,10])\n", + "\n", + "# # Normalize weights\n", + "# CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "cbd722cc", + "metadata": {}, + "outputs": [], + "source": [ + "FR = np.array([[1, 0,0, 0],\n", + " [0, 1,1, 0],\n", + " [0, 1,0, 1]])\n", + "CR=np.array([1,1,1,1])\n", + "# CR=np.random.rand(4)\n", + "\n", + "# Normalize weights\n", + "CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "24dce8c5", + "metadata": {}, + "outputs": [], + "source": [ + "# from data.tailassignment_loader import *\n", + "# FR,CR = npy_loader(f'../data//tailassignment_samples/npy_samples/FRCR_6_24_3_1.npy')\n", + "\n", + "# # Normalize weights\n", + "# CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "11fccaf6", + "metadata": {}, + "outputs": [], + "source": [ + "# F, R = np.shape(FR)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "65297e2a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1., 1., 1., 1.])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "CR" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "afa02c16", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x, e, es, ue, lab = getSpectrum(CR, FR,mumax=4)\n", + "\n", + "pl.figure(figsize=(10,6))\n", + "for key in ue:\n", + " pl.plot(x,ue[key],label=lab[key])\n", + "pl.xlabel(\"exco weight\")\n", + "pl.legend()\n", + "pl.grid()\n", + "\n", + "# pl.figure(figsize=(10,6))\n", + "# for i in range(e.shape[0]):\n", + "# pl.plot(x,es[i,:])\n", + "# pl.xlabel(\"exco weight\")\n", + "# pl.grid()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "d228f979", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x, e, es, ue, lab = getSpectrum(CR, FR,mumax=4)\n", + "\n", + "pl.figure(figsize=(10,6))\n", + "for key in ue:\n", + " pl.plot(x,ue[key],label=lab[key])\n", + "pl.xlabel(\"exco weight\")\n", + "pl.legend()\n", + "pl.grid()\n", + "\n", + "# pl.figure(figsize=(10,6))\n", + "# for i in range(e.shape[0]):\n", + "# pl.plot(x,es[i,:])\n", + "# pl.xlabel(\"exco weight\")\n", + "# pl.grid()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "98286d13", + "metadata": {}, + "outputs": [], + "source": [ + "def INTERP_init(params_prev_step):\n", + " \"\"\"\n", + " Takes the optimal parameters at level p as input and returns the optimal inital guess for\n", + " the optimal paramteres at level p+1. Uses the INTERP formula from the paper by Zhou et. al\n", + " :param params_prev_step: optimal parameters at level p\n", + " :return:\n", + " \"\"\"\n", + " print(\"P=\",params_prev_step)\n", + " p = params_prev_step.shape[0]\n", + " params_out_list = np.zeros(p+1)\n", + " params_out_list[0] = params_prev_step[0]\n", + " for i in range(2, p + 1):\n", + " # Next line is clunky, but written this way to accommodate the 1-indexing in the paper\n", + " params_out_list[i - 1] = (i - 1) / p * params_prev_step[i-2] + (p - i + 1) / p * params_prev_step[i-1]\n", + " params_out_list[p] = params_prev_step[p-1]\n", + " return params_out_list" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "5ad02c62", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.516114\n", + " Iterations: 12\n", + " Function evaluations: 25\n" + ] + }, + { + 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(None, FR)\n", + "\n", + "mu=1\n", + "\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[True])\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[True])\n", + " \n", + "# plot landscape\n", + "_=getfig(Ecost)\n", + "# plot landscape\n", + "_=getfig(Eexco)\n", + "# plot landscape\n", + "_=getfig(E)\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + " \n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure(figsize=(16,8))\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "250db589", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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nT/MxoDrh/0aLpoiIyN5st0XT3W9M+P+GnGYjIiKSx1IdRm+amX2ugekdzWxa1rISERHJQ6kObnA00LqB6W2AozLORkREJI/F6j1rZomjAB1qZusT7rcETgRWZTMxERGRfBP3lJNKQgcgB6Y0MH8bcHm2khIREclHcYtmX8KwecuAzwPvJ8zbDqx199os5yYiIpJXYhVNd18R/ZvyRatFRET2FnEGNzgVeNLdP4n+b5S7/zVrmYmIiOSZOHuajwLdgbXR/41xQqcgERGRvVKcwQ1aNPS/iIhIc6MiKCIiElPcY5qx6JimiIjszeIe04xDxzRFRGSvltIxTRERkeZMBVFERCQmnacpIiISk87TFBERiUnnaYqIiMSkIigiIhJTykXTzMrN7AEzq4xuDyZdb1NERGSvlFLRNLNvAa8ABwB/j27dgDlm9u3spyciIpI/4l5Ps85Pgf9295sTJ5rZj4CfAA9lKzEREZF8k2rz7P7AXxqY/gjQNfN0RERE8leqRfN54OgGph8NTM80GRERkXyW6oDtzwA/M7MK4J/RtMOBU4Ebsp6diIhIHkl3wPaLoluiXwH3ZJyRiIhIntKA7SIiIjGpIIqIiMSU6iknmFkn4EtAb6B14jx3vylLeYmIiOSdlIqmmR0OPA1UE04/WUUY6KAaWA6oaIqIyF4r1ebZnwN/BHoCHwNfIOxxVgK3Zjc1ERGR/JJq0TwUuMvdHagFit19DXA1MU85MbNLzazKzD42s7lmdtQulj3AzP5kZv82s1oz+0Mjy3U0s1+a2btmVm1mb5rZ6Sm+NhERkV1KtWhuT/h/DXBg9P9moMfuHmxmZwB3AjcDw4GXgWfMrHcjDykGPgBuAWY3ErMV8CzQHzgdGAicB1TtLh8REZFUpNoRaB5wGLAEeAH4iZl1A74NvBbj8VcBf3D3CdH9y83si8AlwI+SF3b35cAVAGZ2WiMx/4NwfPUod68r6stj5CIiIpKSVPc0rwXejf6/DnifMKhBJ3Ye7GAHZtYaGAFMSZo1BTgixTwSfQ14CfiVma02s0VmdkO0ByoiIpI1Ke1puntlwv/vE049iWs/oCWhWTfRGuC4VPJI0o/QIelPwMlAH+BuoD0wPnlhM6sfzahHjx688MILIUi/fnTo0IH58+cD0KVLF8rKypgxYwYARUVFjB49mnnz5vHRRx8BUFFRwZo1a3jnnXcA6N+/P8XFxSxYsACArl27MmDAAGbOnAlAcXExo0aNorKyks2bNwMwcuRIVq5cyapVqwAYOHAgLVu2ZNGiRQB0796dvn37MmvWLADatm3LyJEjmT17Ntu2bQNg1KhRVFVVsXr1agAGDx5MbW0tixcvBqBnz56UlJQwe3Zo4W7fvj0VFRXMmjWL6upqAEaPHs2SJUtYu3YtAEOGDKG6upqlS5cC0KtXL7p160ZlZfgKdOzYkfLycmbOnElNTQ0AY8aMYeHChaxbt46Ghyhu2PTp03F3zIyxY8cyf/58NmzYAEB5eTnr169n+fLl+pxy8jnB0KFD2bRpE8uWLQOgT58+dO7cmXnz5gHQqVMnhg4dqs+p4D+no4mrbr3YXD+nXbHQpyc1ZnYQcHB0d5G7L4vxmB6EU1TGuvuMhOnXA99y94G7efxTwAfufl7S9CVAG6Cvu9dG0y4Cbgfa+y5eYEVFhdd9aSW7Lrwj/rITrsxVFiJSR7/J+MxsrrtXNDQv1fM0uwD3AeOATz+bbE8B57v7ul08/ANCj9tuSdO7AatTySPJe8AndQUz8gbQjrB3+34GsUVEROqlekzzd0ApcBRh764NMAboC0zYxeOIOunMBY5PmnU8oRdtul4CSs0s8bUMALYSCrWIiEhWpNp79kTgWHeflTDtJTP7DvBcjMffBjxoZnMIxe5iwqkq9wKY2QMA7n5O3QPMbFj0b0fg0+j+dndfFE3/NXAZcKeZ3UU4pnkjcM+ummZFRERSlWrRfB/Y0sD0rcCummYBcPeHoybe6wjD7y0ATnL3FdEiDZ2v+a+k+18BVhCKI+7+jpmdQCjIrxKaen8P/GR3+YiIiKQi1aJ5E3CHmZ3t7qsAzKwn8L/EHHfW3e+hketuuvvRDUyzGDH/SWanrYiIiOzWboummb0OJDZz9gWWm9mq6H7dOLRdCcc8RURE9kpx9jQfzXkWIiIiBWC3RdPdb2yKRERERPJdyhehBjCzLwCDCc22C939hWwmJSIiko9SHdygJ/A3whiydWPQ9jCzSuAUd3+30QeLiIgUuFQHN/glYVSfUnfv5e69CJfkqo3miYiI7LVSbZ49Hjja3euvVenuy8zsCmBqVjMTERHJM6nuacKOp5/sapqIiMheJdWiOZVw3cpedRPMrDdwB9rTFBGRvVyqRfMKYB9gmZmtMLMVwFvRtCuynZyIiEg+SfWY5jrg84SrmQ6Kpr3h7nEGaxcRESlosYummbUENgJD3f1Z4NmcZSUiIpKHYjfPRhd5XgG0zl06IiIi+SvVY5r/A9xiZvvlIhkREZF8luoxzfGEq5ysMrOVJF1b090PzVZiIiIi+SbVovko4ZzM3V7jUkREZG8Tq2iaWTvg58DXgFaEczIvd/cPcpeaiIhIfol7TPNG4DzgaeDPwHHAr3OUk4iISF6K2zx7KnCBu08EMLM/Ai+ZWcuoV62IiMheL+6eZi/gxbo77j4HqAF65CIpERGRfBS3aLYEtidNqyHNi1iLiIgUorhFz4CHzKw6YVobYIKZba2b4O7jspmciIhIPolbNO9vYNpD2UxEREQk38Uqmu7+H7lOREREJN+lcxFqERGRZklFU0REJCYVTRERkZhUNEVERGJS0RQREYlJRVNERCQmFU0REZGYVDRFRERiUtEUERGJSUVTREQkJhVNERGRmFQ0RUREYlLRFBERiUlFU0REJCYVTRERkZhUNEVERGJS0RQREYlJRVNERCQmFU0REZGYVDRFRERiUtEUERGJSUVTREQkJhVNERGRmFQ0RUREYlLRFBERiUlFU0REJKYmL5pmdqmZVZnZx2Y218yO2s3yY6PlPjazZWZ2cdL8lmb2Pwkxq8zsJ2ZWlNtXIiIizU2TFk0zOwO4E7gZGA68DDxjZr0bWb4v8PdoueHAz4BfmdnXExa7GvgucAUwCPhedP9HOXoZIiLSTDX13thVwB/cfUJ0/3Iz+yJwCQ0XuYuBd9398uj+G2Y2EhgPPBZNOwJ40t2fjO4vN7MngJE5eQUiItJsNdmeppm1BkYAU5JmTSEUvoaMamD5fwAVZtYquj8TOMbMBkXPMxj4AmEPVUREJGuack9zP6AlsCZp+hrguEYe0x14roHli6J47wG3Ah2ARWZWG837qbvf01BAM7sIuAigR48evPDCCwD069ePDh06MH/+fAC6dOlCWVkZM2bMAKCoqIjRo0czb948PvroIwAqKipYs2YN77zzDgD9+/enuLiYBQsWANC1a1cGDBjAzJkzASguLmbUqFFUVlayefNmAEaOHMnKlStZtWoVAAMHDqRly5YsWrQovAHdu9O3b19mzZoFQNu2bRk5ciSzZ89m27ZtAIwaNYqqqipWr14NwODBg6mtrWXx4sUA9OzZk5KSEmbPng1A+/btqaioYNasWVRXVwMwevRolixZwtq1awEYMmQI1dXVLF26FIBevXrRrVs3KisrAejYsSPl5eXMnDmTmpoaAMaMGcPChQtZt24dcHQjH+nOpk+fjrtjZowdO5b58+ezYcMGAMrLy1m/fj3Lly/X55STzwmGDh3Kpk2bWLZsGQB9+vShc+fOzJs3D4BOnToxdOhQfU4F/zkdTVx168Xm+jntirl77DcyE2bWA1gFjHX3GQnTrwe+5e4DG3jMEuAhd78pYdoYYDrQw93fM7MzgZ8DPwAWAsMIx01/4O737SqniooKr/vSSnZdeEf8ZSdcmassRKSOfpPxmdlcd69oaF5T7ml+ANQC3ZKmdwNWN/KY1Y0sXxPFg1Awf+HuE6P7r5vZgYRjpLssmiIiIqlosmOa7r4dmAscnzTreELv2IbMamT5Snf/JLrfjlCME9Wic1BFRCTLmrr37G3Ag2Y2B3iJ0Du2B3AvgJk9AODu50TL3wtcZmZ3AL8BjgTOA85KiPkkcI2ZVRGaZ4cTeuk+kOPXIiIizUyTFk13f9jMugDXAQcAC4CT3H1FtEjvpOWrzOwk4HbCaSnvAle4+2MJi10O/A9wD9CV0DloAnATIiIiWdTko+ZEvVob7Nnq7kc3MG06UL6LeJuAK6ObiIhIzui4n4iISEwqmiIiIjGpaIqIiMSkoinNzuTJkxk4cCClpaXccsstO82vrq7mjDPOoLS0lJEjR9aPcrN8+XLatm3LsGHDGDZsGBdfHC64s3XrVk4++WQGDRpEWVkZ11xzjXJW3nskb8k9XT5LmpXa2lq++93v8uyzz1JSUsJhhx3GuHHjGDx4cP0y9913H506deLNN99k4sSJXH311Tz88MMAHHTQQbz66qs7xR0/fjzHHHMM27dv59hjj+WZZ57hS1/6UrPNWXk3fd7SNLSnuZdLd4u5zttvv0379u35xS9+UT/t9ttvp6ysjCFDhnDWWWfx8ccf5/plZM2cOXMoLS2lX79+tG7dmjPPPJNJkybtsMykSZM499xzATjttNOYOnUquxpusl27dhxzzDEAtG7dmvLyclauXNmsc1bejec9bdo0FixYwLnnnqvfZAFS0dyL1W0xP/PMMyxatIg///nP9QMi10ncYv7+97/P1VdfvcP8q666aoet4VWrVvHLX/6SyspKFixYQG1tLRMnTqRQrFq1il69etXfLykpqR80uqFlioqK2HfffesHza6qqmL48OGMHTuWF198caf4H374IU8++STHHntss85ZeTecd21tLZdccgnt27dnxowZ+k0WIDXP7sUSt5iB+i3mxGamSZMmccMNNwBhi/myyy6rv0LC448/Tt++fdlnn312iFtTU8O2bdto1aoVW7dupUePHk32mvakAw44gLfffpsuXbowd+5cvva1r7Fw4UI6duwIhPflrLPO4oorrqh/z/e0QswZ9t68X375ZTZt2sR1113HoEGD9JssQNrT3ItlssW8efNmbr31Vn784x/vsHzPnj0ZP348vXv35oADDmDfffflhBNOyP2LyZKePXvWX9IIYOXKlfTs2bPRZWpqati4cSNdunShuLiYLl26ADBixAgOOugglixZUv+4iy66iP79+3PllVc2+5yVd8N5//jHP6Zbt271ees3WXhUNKVBN9xwA9///vdp3779DtM3bNjApEmTqKqq4t1332XLli089NBDeyjL1B122GEsXbqUqqoqtm/fzsSJExk3btwOy4wbN477778fgEcffZQvfOELmBnvv/8+tbXh2gDLli1j6dKl9Xs51113HRs3buSOO+5Qzsq70by3bt3K4YcfnlZee+tvstCoeXYvlsoWc0lJyQ5bzLNnz+bRRx/lhz/8IR9++CEtWrSgTZs2dOvWjb59+7L//vsDcOqpp/Lyyy/z7W9/u0lfW7qKioq46667OPHEE6mtreX888+nrKyM66+/noqKCsaNG8cFF1zA2WefTWlpKZ07d64/PjRjxgyuv/56WrVqRYsWLbj33nvp3LkzK1eu5Kc//SmDBg2ivDyM+HjZZZfxn//5n802Z+XdcN4HHnggCxcuZO7cuVx22WW8//77zf43WWia7CLU+Whvvwh1TU0NAwYMYOrUqfTs2ZPDDjuMP/3pT5SVldUvc/fdd/P6669z7733MnHiRP7617/yl7/8ZYc4N9xwA+3bt2f8+PHMnj2b888/n1deeYW2bdty3nnnUVFRweWXX77DY3TBW5Gd6TdZGPLlItTSxDLZYm7MyJEjOe200ygvL6eoqIjhw4dz0UUXNdErEils+k0WPu1p7sV7mnuStmpF8ot+k/FpT1MkpkJcsaSSMyjvTBXid0SyR71nRUREYlLRFBERiUnNs82YmplE8ot+k/lPe5oiIiIxqWiKiIjEpKIpIiISk4pmHkj3mpfPPvssI0aM4JBDDmHEiBFMmzat/jEPP/wwhx56KGVlZTtdWkhEJJ8U0jpQRXMPy+Sal/vttx9PPvkkr7/+Ovfffz9nn302AOvWreMHP/gBU6dOZeHChaxevZqpU6c2+WsTEdmdQlsHqmjuYZlcJX748OH1180rKytj27ZtVFdXs2zZMvr3718/gPNxxx3HY4891rQvTEQkhkJbB6po7mGZXiW+zmOPPUZ5eTnFxcWUlpayePFili9fTk1NDY8//vgOVzsREckXhbYO1Hmae4GFCxdy9dVXM2XKFAA6derEr3/9a8444wxatGjBEUccwVtvvbWHsxQRyY2mXAdqT3MPy+Qq8XXLn3LKKTzwwAMcdNBB9Y/5yle+wuzZs5k1axYDBw5kwIABTfBqRERSU2jrQBXNPSyTq8R/+OGHnHzyydxyyy0ceeSROzxm7dq1QLiq+z333JPVi/SKiGRLoa0DVTT3sMTr6x188MGcfvrp9dfXe+KJJwC44IILWLduHaWlpdx22231XbLvuusu3nzzTW666SaGDRvGsGHD6r8o3/ve9xg8eDBHHnkk11xzjfY0RSQvFdo6UNfTbMbX08zlOJeFOoZmIebdHC6xBYWZdz79bgrxu72n7Op6mtrTFBERiUm9Z/Octg5FpDnLt3Wg9jRFRERiUtEUERGJSUVTREQkJhVNERGRmFQ0RUREYlLRlLyU7vX1AH72s59RWlrKwIED+cc//lE//fbbb6esrIwhQ4Zw1lln8fHHHyvvAs25kPOWwqaiKXknk+vrLVq0iIkTJ7Jw4UImT57MpZdeSm1tLatWreKXv/wllZWVLFiwgNraWiZOnNjs8y7EnAs5byl8KpqSdzK5vt6kSZM488wzKS4upm/fvpSWljJnzhwgDPS8bds2ampq2Lp1a/11+Jpz3oWYcyHnLYVPRTOmXDQF9enTh0MOOYRhw4ZRUdHgiE3NUibX12vssT179mT8+PH07t2bAw44gH333ZcTTjih2eddiDkXct6FTOvAQEUzhlw0BdV5/vnnefXVV2nOY+A2hQ0bNjBp0iSqqqp499132bJlCw899NCeTmu3CjHvQswZCjfvpqB14GdUNGPIVVOQNCyT6+s19tjnnnuOvn37sv/++9OqVStOPfVUXn755WafdyHmXMh5FyqtAz+johlDLpqCAMyME044gREjRvDb3/62CV5JYcjk+nrjxo1j4sSJVFdXU1VVxdKlS/n85z9P7969+ec//8nWrVtxd6ZOncrBBx/c7PMuxJwLOe9CpXXgZzRg+x40c+ZMevbsydq1azn++OMZNGgQY8aM2dNp7XGJ19erra3l/PPPr7++XkVFBePGjeOCCy7g7LPPprS0lM6dO9f3ciwrK+P0009n8ODBFBUVcffdd9OyZUtGjhzJaaedRnl5OUVFRQwfPpyLLrqo2eddiDkXct6yo0JcB6poxpBKU1BJSUmspqC6xwB07dqVU045hTlz5uT9F6apnHTSSZx00kk7TLvpppvq/2/Tpg2PPPJIg4+99tprufbaa3eafuONN3LjjTdmN9EkhZh3IeYMhZt3IdI68DNqno0hF01BW7ZsYdOmTQBs2bKFKVOmMGTIkCZ/bSIiu6N14Ge0pxlDLpqC1qxZwymnnAKETgrf/OY3+eIXv7gnX2bByLfr68WRSs6gvDNVqHnnK60DP6OiGVO2m4L69evH/Pnzs5+oiEgOaB0YNHnzrJldamZVZvaxmc01s6N2s/zYaLmPzWyZmV2caUwREZF0NOmeppmdAdwJXArMjP4+Y2aD3f3tBpbvC/wd+D3wbWA0cI+Zve/uj6UTMxcKsblQRCRbmtM6sKn3NK8C/uDuE9z9DXe/HHgPuKSR5S8G3nX3y6PlJwD3A+MziCkiIpKWJiuaZtYaGAFMSZo1BTiikYeNamD5fwAVZtYqzZgiIiJpaco9zf2AlsCapOlrgO6NPKZ7I8sXRfHSiSkiIpIWc/emeSKzHsAqYKy7z0iYfj3wLXcf2MBjlgAPuftNCdPGANOBHoClEfMioG6Yj4HA4iy8vMbsB3yg2DmPq9iKrdj5F7sQc65zoLvv39CMpuwI9AFQC3RLmt4NWN3IY1Y3snxNFM9SjenuvwWaZJBDM6t095xc76YQYxdizoqt2IqdX3FzHXt3mqx51t23A3OB45NmHQ80dimBWY0sX+nun6QZU0REJC1NPbjBbcCDZjYHeInQO7YHcC+AmT0A4O7nRMvfC1xmZncAvwGOBM4DzoobU0REJFuatGi6+8Nm1gW4DjgAWACc5O4rokV6Jy1fZWYnAbcTTiF5F7ii7hzNmDH3pFw2Axdi7ELMWbEVW7HzK26uY+9Sk3UEEhERKXS6yomIiEhMKpoiIiIxqWiKiIjEpKKZI2ZmCf8XzPuclLftatl8UsB5F8x3Q0RUNHPG3T0aGxd3/7RuejZW6Llc0UZ5d6z7P5uxzaxlNuMlKuC8PzWzbtHztDGzrPVoN7OWudqAqItbSBsoItmg3rM5YGbdgdOAcsJQff8EHnX3WVl+HiN8hp82NC/V4mFmpYRzYI8B+hAGl3gSeN7d16Qbt4HnaQE7bkw007yHAecAJxHGSq4EngWmAv9y99os5m3uXptJnKSYRcA+7r4xWzETYrfMZq5JsTsA+wBrgXbA1oY+zzRjK++dYx8AdAC2EcYJX+3uH2cpdpG712QjVkrPq6KZfWb2NFAKvEE4t/QIYAjwJnAL8GC6X1Iz+y6wEJjt7tsSprcg7GSl/YGa2XTCF3wmYRjCLxCuYbqOcM3S/013RW5mPwXmAVPcfVPC9JbAp80077nAJkKBXwOcHN1qgT8A17n7ljTz/j/Cxtpf3H1DwvSiKO+0V7hm9kXgP4ChQGtCkZ9E2EjZkm7cBp6nwY2Uur3bNN6TbxLyLo8mzQKeAZ5z98V1sbOwkdIySi9bRa1Q874UOJ+w7vuEMHrbP4FpwHR3r85i3uSq8O/E3XXL4o2wwn4fKInutwH2JRTOCcAy4Ko0Y48GPgVmAA8BVwBDk5YpBv4bOCDF2MdEeXdKmt4D+DFhYPx7gJYZ5P0v4EXgF4RB9hOXaQv8EujdTPI+Osq7TQPzLgBWEFaMHTLIewnwNvAI8NUG8v49MDiN2IsJl9+7NPquzSYU+gXAN9L5bkexD4k+q+OAoqR5LYk28tOMPQZYDjwAfAk4N3p/q4F3gO9mELsCeIrQutQqaV5RM8376Oi3dytwcJT7hOg7uQr4afJnnELsI4H5wH8CrRvIuwVhXPLOmbyGRp8/2wGb+w24AZjWyLyOwLXAZqA8jdi3E8bUvSn6sr8CPE8YYvAcQtPkyGiF2T7F2OMJW4Fto/stgRYJ878NbAS+kEbe/3+U58XAXcALwKuEa6P+iLAl+vko75SKRAHnfXEUq1t0vzhxBQCMJex9npJG3j+Jcvxq9P48RVjxLgHuBg4HDksz70eBCQ1MH0QYpWUVcE6av537Cc14rwDPRb+l8qRlRkXf95RWhsBfgN82ML1d9DzrgP/OIO/t0fv7FvA7dt64OgKYSIobbwWc95+A3zQwvVX03V8L3JdB3rXAe4SLd0wGvpy0zJHR9LQK865uTT32bHPwHPBdM/uiu09OnOHuH5nZrYQV4lhCs18q9iMMVn991MnoC4TB6YcTmm5OJ6y8prr75hRj/x24GjgV+KNHTR11zSfu/pCZfSPKe1oaeS9z93ujJrdywsrvMGAccArQF5jsCU2ge3neTxE2oL4F3Obu1VHedc2+06Nm56OAv6UYex/CCuVpd68xs8cIBX4UYU9xItATeCaNvDsTDjsQ5VvX3PtvM7uCsFK80swmu/vaFGMfQtgwXEnYCzoe+KqZvU3Ys32SsHF4lEdrxhS0Jqxo6/IujvLeCtwQfb5nmtmD7r48xdgDCHtOlYSNqDHAQ2a2AXgCeJDwOQ/x1JsQCzXv7UBnM2vj7h+bWRugxt0/Ae41s0+AH5hZmbsvTDF2H8KwqU9FeX8DeCSK+Qih5edMoIfn4phntqtwc78Rmr0eIBy/vAYYQegwUTf/c4SVwqlpxB4CfKmB6V0JHWH+QNh7OCmN2C2B/yVsuf6W0DmlS8L87oTmoNPSiN0dOLqB6fsSmldvykLe6wslbz7rS3A1odXhOcKxnx4Jy/SL8k65uRNoDxzeyHdzMKFZK933+wrCceMBjbymXtF3P6WWFKA/4Tq550f3OxA2GK4m7G3NIazcPyWpqTlm/G9F3+0jkr8/0d/OQBUwKsW4fQgr70ui+20Inf9OJxxPfyX6HD8FxjWjvE8kXL7x9KTpRdHffQiHDsamGLcHYY/4O3XvA9CJsCF7TZR3dZT3V1LNO85NHYFywMx6EZrvjgM2ED7I1YQtxlHAQG/gAtkxYxd52HtoQWi7r+/UYWZfIVy0e980YxcDlxP2otoSivt6QvPmSEITaHnjEWI/zw6dlqK8/+zu7dOM144woP8pUd5vZ5p3cgeFhPe7Nlt5RzFOIawY+xG+HxsJe4nDgfXuPibd2AnPkfxaxhE6CLVJI9b+hKa3foQ91n8QevpuiuafCtzv7h3SiF1KaFpfkjS9G2Ev/zuEjZjPpRjXCCvpCcAXCccEHyO0yHwYfbZnEJpB08m7G2HDeFnS9A6E9+lS4IwM8/4SoVWlUPIuBm4mrE8qCU2qj7j7OjPbj7COucPdO6aRdxegnbu/kzS9iFBALydc2COlvGM/v4pm7pjZoYRjakcQDlB3IhyTvM3dX8/i8xjhwPejQEd3Py7DeIOALwPDCDkfQNgb+rW7V2WW7U7P1YLQ+aOzu5+eYazewFcIx+z2I1yMPOt5J7zf2cq7F+EYTBlQEt0mE3pZp9rEubvnMuBGwrHU76QZo5SwQh1LOKa0EthKWMEPAp5y9x9mmGddx5+ahGmPA1vc/VtpxuxAuLTgyYTvxqeEjZSW0f2J7n5DJnlHz5O8kfI4UO3uZ6QZbx9C79mvElqVashy3rt4v9POO4rxZeCbhI3A/QnH6WsIRfV37v6LTPJu5DkfJ2zcfj3bsUFFM2uivbRDCcfWNgGvEY4/ro7mDyR0xtjuKb7pCbFPIfxYFhKawN7xcEpCCw8nyRcB+7r7ujTyr+tA80nS9P3d/f1U4zUQ272RruzR/A7u/mEKMdsTjsGcBXxI6NE5l+gC5ZnknRR7PbCU0FnidXd/L5O8Ex5bBOBJx1zMrNij45vp2t1pJdGGyj6e+vHM5DiDCRspgwnNhG0JxySf93DMLSuifDsRmmjPcfeXMow3kNDi05ewgdKG0NFrrocL22eNmX0O+Ctwtbu/kmaMYg+nZ3QnfC/LCM3gxWSYt5l1SP4eRO93x0zyTtxwsHCu5mDCpR/7Et7v3wNLPcuniUS/3V8Bd7r7q9mMXf8cKprZYWa/JBTM9wgrkD6EJtlJwK2ewfU9G4h9IOH8z8cJTRzLGn/0bmOPcPe5SdNaE4rcJ408LJPYGZ/fGMW5n7ACWUp4T0qAjwg9Uu929+lZjr0hiv1bd38+g9ij3X1m0rQd3m9L86TtRmLvUEDrNrDSiN2LcNz184RjaAuBl919fvSZtvXUO58lxz6M0ItzcRT/NXffULcCNrP2qTxH0op7p42UdN+LRmLvaiOlXaobEWZ2MHAVYQ9tGeE9fwmYkc5G2i5iv0k4nPEq8GJik6eZtfWEc8HTeJ6Mz8FM83kz3vDcJc/BgdLmdiNsRX0EnEDUCYXQFHEN4cu+jXA8JuVzhmLGvojQXJhqN/z+hCaqBcBtwPCk+Ubovfd5ks6HylLsVmnGHkzYmz+czzpE7AtcyGfnDN5AGuf2xYz9Y5JObYkZe1D0nmwiHA88Mml+C8Lew1eITkXJYuy6zzKd2H0JPb3fIBybmkc4tWQh4fSPPhn8dhqKvZLQUnMPcFDy60gh9v7sfApF3Xtc1yHFSO8c3oZiG0nnNyZ8h1LJ+yDChsMM4GeE3tP/JJyb+BhwXAbvd0OxZ0Xv+1+AEzJ4v7sBZxMOWSS/53U7aC2B4jTybjB2A8u1STXvlHPJVeDmdAP+i7AFWHc/+cTsm4F/k9A7Mk9iX0/Ym7qdcKx1VfTj/CHQK1qmZ7QyLsmj2FcCMxPuJ5/gfDGh59+AVOI2Qez/IgyU8CPCYAk1hNaIXxAVB8Ixq0/r3qM8iX0v4XSP7gnTehN6tq4g9JL8aqrvR8zY72cQ++7o9a6O/h+cNL9l9FzfIPXzEHcXu0VC7JTOFQR+Hb0nHRKmdSMcj51BOH58QZrvye5ib8kg9q+i92Q94dSPk0gqkNF7Mj55+p6MnfLrzGXw5nIjHGtcCpQmTCvis62euq3pK/Is9h8J3cu7E46TnEvozv0aYWv/SUK39IV5FvsYQuE6Nuk9qRvgoAthSL0f51nsuwnHoDpHtzGEjZ43ohXCa4RzSdN5T3IZ+0VgfPR/K3becPszoUdq/R5FnsSeQ9hb/TFhL+1TQnPkfxHtsRBGNFqWxnuSy9h/B26M/m9JUkEnnGL1T0IP0nyKPYuw9/ofhA541YTDSL8iOgUJ+B/gzXyKnXIuuX6C5nCLVqRvEPb4TqeBLZ3oh/WdfIlNKATfBH6UNL0zoZPEZYTmmk9Jccszl7GjOG0IA5u/R9jza9vAMq+SxhBjuYodraBOAi5Nmt6asIX8ZcKpBZ8C/5EvsaM4N0SvOXHvpBWfbUiMJhyL3Onc0D0Vm3Dc/x+EPagWhFaNEwkbF29H78VLhD2X7+dL7Cj+96I4g5I+y9bR/4MJh2aOyZfYhPMnHwEuiu4XEQ4ZXB19vrXA64Q92e/lS+x0bjkN3pxu0Qf7MLCIMHrJTwgj9gwg7HG9T8IgB/kSO+E5WjUw7dRoBZDyVmeuYxN6at4WrQAWE46HnUo49vtnwt5i3sVOeI6djodGK95svN9ZjU0YoONdQovGTie6Ryuwj/MpNqH357k0PFbwQYQN0BcIzdg7bRjtqdhRnL6EpvYqosEekuYPIYy4k877nZPYhNONvgKMbGBeO0Lfhb+k+X7nLHY6N/WezaLopNsvE4b/6kcYYaMTYaST37j7xHyJ3VjPwagnYK27u5n9Aqhw96PzJXYUp6WHq5a0J+yJHEXouFNO2Ot6jjA+6jP5Ervu3M6G3peEZW4gjOxyYj7Fjj6vUsJYvIcTRqh5kdBsOpgw4HeVp3i+ai5jJz8PoRky+fSePwI90/kO5jp2dE7pzwgDX7QibCw/Ryhqo4FX3f2cfIud8Bw79Zw1sz8Qjq8fla+xYz2/imZmzKyEcBkwCM0Diwg9WvsRhjPbCnzg7uvzNLYR9kAWe3ROaTTfCCdTr/IUz9PKZexGnq81oTfjNkLz6kbP0iWqchm7gec6GnjfUx+Ls0liWxg/9DjChtvnCceq1xOafh/yzE6rylnshOcwwoZPLWGvcAbwM3d/LF9iR3FaRBtubQjj8Y4htCyVE/YQHwL+mvibyoPYO4zy1cD8toTT737t7n/Ll9jpUNHMgJldQji/bCihgC0jdHJ5nnDR6Xd28fB8ib2F0IFhJaEDwOMeXaMvD2PvcN7Y7n5M+Ro7m3IcuwVh42Z/QiF4i3Au38ZopeuEY5Ef5HHsdoSe29M9YXQlCwOGHOfuT+dL7F08Z/25zWa2r2fxwt+5jJ30PK0ILUuzCil2g8+nopmeqLn0TUJvs18TfkTHEa4jN5hwnOYKd1+U6km+ezD2wYQC9/0odkpXdM9x7E6EDk9PE7aGX6573YkFLjpxe6WnMNrNHoydeIL8wcB7ntqoSLmM3QG4j9Cb+FNCcTDCBtxzhL2/pdGyKQ0S0MSxVxIK8MeEQxkPuvu/48ZrwtitCMcbV3gDJ+ZnMlDAnoydiVzGzojn+KDp3nojDAo8u5F5ownHZZYB+yl21mJXE7r61xL2TG4iDH5ft0wvQieHfoqdcexrCQX5sOj+IMI4yr8mDFf4JLB/qp/jHo79CuGSV/kY+0pCy8z/ETq9dGfn00E6EgZu36ljXQHEPpnUBzHJWexMbk3yJHvjjTDCzyLCteZg54sI947mf1OxsxJ7AuFE+K6EcXh/Rjh/tZbQ9HsR4cT+zYqdldgvAlc1ML0lnw0xODnN345i7xxjFuHQy4vR51dF6ME9mjCeNIRToP6p2JnHzuTWZE+0t90I508uIJywn3iOWYuE/18GfqjYmcUmFN/vA9cmTd+X0Pz7e0KT9aekeBV7xW4wdhFh7+kloj0nkoYNBI6NPuuhip1x7P0JHYe+Gd0vIVxkeUn0+c0lnJP4b8JA5IqdQexMb032RHvTjWicV+BrhKG+NhGOdYzgs+Gzvh1N76PYmcWO4hcTDbWWvLKKph1NGkPyKXajsQ8nNPfeSgNj1RKafTcTTqtQ7AxiEy69933gxAbmDScMmrAu+iwVO8PYmd6a7In2xhvwOUKz2MWEEUI2R7c3ox/XDYqdeWw+67DWL3lllTDvetIbskyxd47dgrBndSFh4IwNhNaD4wnnB3+DMODDK4qdeewoflsSBhuvuyXM/ynhYt+KnYXYmdzUezZFZtaVMNr+/0cYqHob4XqOMwnHkVoRzlGc7ElXoFfsjGJfBawljPrxHmFYrb96uJ6oEVZm77r7U4qdfuwGnutzhOHivkm4KPkmQm/RVwjnIc5W7OzEbqwXq5m1I4yY9H/ufqtiZyd2ulQ0UxSNPFFG6OG3njCe6iGEIe3WAtdl8KNR7HixhxN6Lq4Efu7uUxQ7a7E7ApsSV1TRaTdtCANqDAG2pPN5Kna82A0s0wY4A/izp3CxacXOkabetS3kG6F5YDMwJmnagYTxJqcQmiHLFTunsXsRmsOmEMaGVewsxI5i/Qa4gLDR07GRZTrVPa9iN0nsz+Xws2xWsbNx2yNPWqg3wtb96zRyxQVCx4xKQhONYuc+dmvFzmrsswgdKz4knE/7G8JA9aV8dtWR9sDjwCGKnZPYpxAGfa+LXTdE3BDFzix2tm5N/oSFfIs+rKmE84f60/DVJC4nDHis2IpdaLHrzvvsR7iY7+uEUXr+Reh08QXgEmC7Yit2ocXO1m2PPGkh3wjdzl+NVlrnEZrF2kfz2gGPEoYBU2zFLpjYhJ6h/wXckjS9DLiDcKz0A0Kno/sUW7ELKXY2b3vkSQv9Rjjw/zChl+gHhA4Zvydcf3E2KTbTKLZi50NswqXmBkX/tybp+Byh48WnwDDFVuxCi52tm3rPZiDq+n8y4YT+jwmjgTziaQ7arNiKnU+xo/gtCCuuWjO7kDD6SjvFVuy9IXZa+ahoZkeqV2NQbMUupNhR/KsIA2b/XLEVe2+LHTsHFU0RiSO6VFNtLgqzYiv2no4dOwcVTRERkXha7OkERERECoWKpoiISEwqmiIiIjGpaIqIiMSkoikiIhKTiqaIiEhM/w/o5+rsZz90UgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "plot_histogram(job_b.result().get_counts())" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "9857366d", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P= [2.34285919]\n", + "P= [2.02001283]\n", + "[2.34285919 2.34285919]\n", + "[2.02001283 2.02001283]\n" + ] + } + ], + "source": [ + "depth=2\n", + "inter0 = INTERP_init(xb[::2])\n", + "inter1 = INTERP_init(xb[1::2])\n", + "xb_0 = np.zeros((2*depth))\n", + "xb_0[::2] = inter0\n", + "xb_0[1::2] = inter1\n", + "print(inter0)\n", + "print(inter1)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "db872d90", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.000023\n", + " Iterations: 132\n", + " Function evaluations: 230\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "out2, job_b2, xb2 = qaoa.getlocalmin(xb_0, backend, mu,useExco=[True,True])\n", + "# plot histogram\n", + "md=job_b2.result().get_counts()\n", + "pl.figure(figsize=(16,8))\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "688dd638", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from qiskit.visualization import plot_state_city\n", + "\n", + "sv=job_b2.result().results[0].data.statevector\n", + "\n", + "pl.figure()\n", + "pl.plot(np.abs(sv)**2,'x')\n", + "# print(sv)\n", + "# sv=np.array((0,1,1.1,0), dtype=complex)\n", + "# sv/=np.linalg.norm(sv,2)\n", + "\n", + "plot_state_city(sv)" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "e30a6408", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 2.500017\n", + " Iterations: 19\n", + " Function evaluations: 37\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ks8aInXfeufj/EyZMyNtvv50JEybMX8OBkkydOrU43bp160bFeOaZZ4oXyOo7t6iuri7eHPbMM89k+vTpc80v13gyp7/97W+59957s+yyy+bCCy+styzQeOUYSxoycuTIPPXUU0mSrbbaKquuuuo8ZeY8XijnWFKXRx55JOPHj09S+3ESMH/efPPNvPjii0nKs00deeSR+eqrr3LggQdmm222KXm5pjgmAZpGSz/en9/rpt9cJvnvmJSUPi69//77+eCDD+arrbAoa6qxpFOnTll22WWTNH4M+Ob/LUic+hQKhdx4441JZv2+tccee8zX8kDL1xxjCdDySYpcBM1+8uKaa65Z71OJ5rwYN3uZUr322mu1xpnfehoTZ9SoUfnqq69qjbPMMsukS5cudcZYccUVi09zmd8+w6KoOcaTl156qZj0uP766+fzzz/Pcccdl06dOmXllVfOaqutlmWWWSb9+vXL448/XmecpZZaKkny2Wef1VvfnPPnHINm23fffYvjxAUXXJCZM2fOU+aFF17IfffdlyTZb7/9iuWBlqempiZjx47No48+mv79+xcvhvXs2TM77LDDPOXLNZYMGzYsSbLqqqtm6aWXzs0335z1118/yy23XHr06JHlllsua6+9di688MK5Ei+ABTNkyJDi9DrrrNOoGI05R5kxY0bx6bCzlWs8mW3SpEk59thjk8w6RunUqVO9cYHGK8dY0pBSnloyexxJyjeWfNMXX3yR1157LWeeeWb69+9f/P/Z4w0wfyZPnpy33347//d//5ett946M2bMSJIcd9xxCxR30KBBuf/++9OxY8dcdNFF87VsuY9JgKbxbTje32GHHbLaaqslSS699NJ5fqdJkg8//DADBw5Mkmy55ZZZb7315prfHMc3sChr6rHkiCOOSJI8//zzefDBB2stc/bZZyeZ9ST6ww8/fJ755RhLGvL4448Xk6l//OMfzzX2AKW57bbb8p3vfCdt27bN0ksvnbXWWisDBgxo1BsD67P99tunc+fOqa6uTufOnbPNNtvk/PPPz8SJE+tdrinGktNOOy2rrLJKFl988XTs2DEbbbRR/ud//idvvfVW4zoHNDlJkYuYKVOmFO/qr+s1b7N17Ngx7dq1SzIr0XB+fPjhh8Xphurp3r17cfqb9TQmTqFQmGu5OeM0FGPOOPPbZ1jUNNd4MucFrZqammyyySa59NJLM2nSpOL/T5s2LYMHD07fvn1zwQUX1Bpn9o+Vr7/+esaNG1dnfXM+7aC2O4w7deqUG264IW3bts2TTz6Z3r175/rrr8+wYcMyePDgnHXWWdl6660zbdq0fPe7353vHyOA5rHqqqumqqoqrVu3TpcuXbLtttvmrrvuSjLrVQp33HFHrcne5RhLampq8sYbbySZNaYce+yx2X///fPKK6/MVe6tt97KiSeemL59+8415gGNU1NTk/PPP7/4909+8pNGxSnXuU65jk1m+9WvfpUxY8Zkiy22yGGHHVZvu4DGK9dYUp85n1qy5JJLZq+99qq13DLLLJMVV1wxyawbLup7zVOpY0mSnHnmmamqqkpVVVXat2+fddddN2eddVa++OKLtG7dOpdffnm23HLL+e0WLLIGDhxY3KbatWuXHj165Pjjj8/YsWOTJCeffHL222+/RsefOHFiMany/PPPz/LLLz9fy5f7mARoGt+G4/3q6urcfPPN6dSpU0aOHJkNN9wwf/nLX/Lkk0/m8ccfz0UXXZSNN944EydOzOqrr55rrrlmnhhz3nAy540o3/TJJ58Ur60kxiUoVVOPJaeeemrxRvPdd989J5xwQh544IE888wzufXWW7PNNtvk9ttvL55X1HazaTnGkobMeRPaQQcd1PgOwyLstddey+uvv56vv/46X375Zd55551cf/316du3b/r379/gzQ2l+uc//5lx48Zl+vTpGTduXIYMGZJTTjklq6++evFNg7VpirHkqaeeygcffJBp06Zl0qRJefHFF3PJJZdknXXWyZlnnplCoVCWPgPlIylyEfPFF18Up0u562V2EtOXX37ZZPXMrqO2esodpyn7DIua5hpP5nwl3AUXXJC33347P/zhDzN8+PBMmTIln3zySf70pz9lmWWWSaFQyMknn1zrQfCuu+6aZNZrt08//fRa63r77bdz7bXXFv+es4/fjPXcc8/l8MMPz4svvpgBAwZk8803T79+/XLmmWembdu2ueSSSzJ06NAGX/MCtBxt2rTJ7373u7z44ot1PvWpHGPJZ599lpqamiTJiBEj8oc//CErrrhibrzxxkyYMCGTJ0/OkCFDiq/dfeqpp3LooYcucP9gUXfxxRdn+PDhSWY9BWDjjTduVJxynaOU89hk6NChueqqq9KmTZv8+c9/TlVVVf2dABqtXGNJfZ544oniq5369++fpZdeus6ys8eS8ePH13lD1hNPPFF8kn1S91jSkG233TavvPJKjjrqqEYtD8ytV69eGT58eM4777wF2nefeOKJGTt2bDbffPP89Kc/ne/ly3lMAjSNb9Px/mabbZYXXnghJ5xwQj744IMcccQR2XLLLdOnT5+ccMIJmTx5cs4+++w888wzWWutteZZfsstt0zHjh2TJNdee+08T9yf7YwzzpjrDT7GJWhYc4wl7dq1y7333purr7463bp1y0UXXZQdd9wxm266afbZZ58MGTIkP/7xj/P000/n5z//eZ1xFnQsqc/kyZPz97//Pcmsm1379u27QH2GRU3btm2zzz775K9//WuGDh2aF154IQ8//HBOO+20LLfcckmSu+66K7vttlumT5/e6HrWX3/9nHHGGbnnnnvy3HPPZdiwYbnuuuuy/fbbJ5n15Ns99tgjDzzwQJ0xyjWWrLjiijnqqKNyyy235N///neee+653HnnnTnssMOy2GKLpaamJmeddVZOO+20RvcXaCIFFikffPBBIUkhSeHAAw9ssHz37t0LSQprrLHGfNXz29/+tljPI488Um/ZRx55pFj27LPPnmte3759i/NmzpxZb5wzzjijWHbo0KFzzWvVqlUhSWGrrbZqsO1bbbVVIUmhdevWDZaFRVlzjSdnn312sZ4khX79+hVmzJgxT7mhQ4cWt/V11lmnUFNTM9f8SZMmFVZaaaVinAMOOKDw0ksvFaZOnVoYP3584frrry906dKlUFVVVVhsscXqHQemTp1aOOWUUwrLL7/8XG2b898mm2xS+Mc//jFffQVmee+994rb0oABA5qkjjfffLMwYsSIwksvvVR49NFHC2effXaha9euherq6sKBBx5Y+OKLL2pdrhxjyahRo+YaL9q2bVt444035qlr8uTJhQ033LBYbtiwYU2yLmBR8PjjjxfatGlTSFLo3LlzYezYsY2Odeihhxa3y5EjR9Zb9uqrry6WveGGG+aaV65jk6lTpxZ69uxZSFI48cQT55n/m9/8pljHY4891uh+A+UdS+rz05/+tLjdPvjgg/WWfffddwtLL710IUmhqqqqcNxxxxXeeuutwrRp0woff/xx4fLLLy8svfTSherq6mLMhs7Jxo4dWxgxYkRhxIgRhWHDhhWuvfbaQp8+fQpJChtssIFjEphPEydOLG5Tw4cPL9xyyy2F/v37F7fHe+65p9GxhwwZUqiqqiq0adOm8NJLL80zf5VVVikkKayyyip1xijn9ZJvao5zO6h0C/N4f8CAAcXY7733XknL1NTUFH7/+98XVl555Tqvm/bs2bNw9dVX1xnjwgsvLJZdccUVC9dff31h/PjxhalTpxZeeumlwv77719IMtfxzTd/WwLm1pxjyZNPPlno06dPoaqqqtYxYOmlly78/Oc/L0yaNKnOGOUYS+py0003FWOcfPLJC9JVWCRNnDixznljxowpbLTRRsVt7NJLLy17HYVCofDnP/+5WEfXrl0LX3/9da3lyjGWfPnll4Vp06bVOf/f//53YZlllilel3nxxRdL6iPQPCRFLmI++eST4gC/9957N1i+c+fOhSSF9dZbb77q+d///d9iPQ888EC9Ze+///5i2QsvvHCueTvuuGNxXl07s9l+9atfFcs+++yzc81r27ZtIUnhe9/7XoNt33TTTQtJCksttVSDZWFR1lzjye9///u5Dk6ff/75OsvuueeexXK1/Rjw7LPPFttR17/zzjuvmOzYoUOHeWJ8+eWXcyVP/+pXvyq8/vrrhalTpxY+++yzwsMPP1zYcsstiwe/F1100Xz1F1h4P5xNmDCh0Lt37+IP/nUlRi7oWDJu3Li5yv7iF7+os0333ntvsdz//M//lLW/sKh45ZVXCh07diwkKSyxxBKFIUOGLFC8I488srhdvv766/WWveKKK4plb7/99nnml+PYZPYPFyuvvHLhyy+/rHO+pEhYMOUeS+ry9ddfFzp06FC8sF/bDWHfdP/99xeWWmqpOseR1q1bF6688sri37169WpU2373u98V+//QQw81KgbwX9dff32hqqqq0KpVq8K1114738tPmTKlsPbaaxeSFI4//vhay5SSFFkolOeYpDaSImHBLczj/flNipw5c2Zhr732Ki5z2GGHFZ5//vnC119/Xfjyyy8LTzzxRGHXXXctzj/22GNrjVNTU1M4/PDD6x2TVltttcLpp59e/PuSSy4pa9+h0jTXWHLbbbcVFl988eL11TvvvLPw6aefFqZNm1YYOXJk4dxzzy0sueSShWTWwy0++uijeWKUayypyw477FDydR1g/o0cObJ4M9Waa67ZZPUcdthhxW35xhtvnGd+U48lc7rhhhuKcQ4//PAF6BVQbl6fvYiZ85VLpbzC9quvvkpS2qtxG1vP7Dpqq6fccZqyz7CoWRjjyfLLL5+NNtqozrI77LBDcfqZZ56ZZ/7GG2+cF198MUcfffQ8r7Xu3bt37r333px88snF163MflXLnM4888wMHTo0SXL11VfnggsuSM+ePVNdXZ327dunX79+eeyxx9KnT58UCoWceOKJeemll+arz8DC0bFjx1x33XVJkpdffjnnnntureUWdCz55iswZ7/uoTbbbrtt2rRpk6T2cQ2o33vvvZftt98+EydOTOvWrTNo0KD84Ac/WKCY5TpHSRZ8PHnjjTdy3nnnJUkuu+yyuV7XDZRPU4wldbn77rszadKkJMn++++f1q1bN7jMj370ozz//PM56KCD0qFDh+L/V1VVpU+fPhk6dGjx9bhJ7ec5pTjttNOy6aabZsqUKfnpT3+aGTNmNCoOMMuBBx6YvfbaKzU1NTn66KMzYcKE+Vr+nHPOyZtvvpnu3bvnrLPOWqC2lON6CVB+37bj/T/96U+57bbbksy6hnrVVVdlo402yhJLLJF27dpliy22yD/+8Y8ceOCBSZJLL70099xzzzxxqqqq8te//jW33XZbvv/97891PLTMMsvkqKOOyvPPPz/XOZZxCerWXGPJ2LFjc/DBB2fq1KlZd91189RTT2X33XfPsssum8UWWyyrr756TjnllNxzzz2pqqrK66+/nmOOOWaeOOUaS2rz8ccfZ/DgwUlmHeP07NmzTL0HZlt99dXTr1+/JMk777yT0aNHN0k9P//5z4vTQ4YMmWd+U44l37TPPvukffv2dbYFWHjaLOwG0LyWWGKJLLfccvn000/z4Ycf1lt24sSJxR/xunfvPl/1dOvWrTjdUD2jRo0qTn+znm/G6dSpU4Nxqqqq5lpudpyxY8c22JY548xvn2FR01zjyZzlv7lt11d23LhxtZZZccUVc9lll+Wyyy7LmDFj8vnnn2eFFVbIMsssk2TWWDNlypQkybrrrjvXsoVCIddcc02SpEePHhkwYECtdbRp0yZnn312ttxyy9TU1GTgwIG5+OKLG+gp0BKss846WWuttfL222/n9ttvrzMxckHGksUXXzzLL798cZyqb1xcYokl0qlTp4wZM6bOcQ2o3ejRo7Pddttl9OjRqaqqyjXXXJPddtttgeN+8xxlk002qbNsfec6sy3IeHLxxRdn2rRpWX311TN58uQMGjRonvivvPJKcfrRRx/NmDFjkiS77LJLi/9RFVqCphpL6nL99dcXpw866KCSl1trrbVy3XXXpaamJh9//HEmT56crl27FrfzJ554olj2m2PJ/Nhtt90yfPjwfPDBBxk+fHi+//3vNzoWMGub+tvf/pavvvoqDz74YPbbb7+Sl73ggguSJNttt12dP97Nvhbz1VdfFY8TOnfunL59+85TdkGOSYCm8W073r/qqquSzLqR7OSTT66z3LnnnpsbbrghSXLNNddkl112qbXcnnvumT333DOTJ0/OmDFj0qZNm6y00krFJMm33367WNa4BHVrrrFk0KBBxWOPU089tc7ltt1222y77bYZPHhw7rrrrkycOHGuxOZyjyVzuummmzJz5swk83e+Bcyf73znO7n//vuTJB999FG6du3aJHXM9tFHH80zvynHkm9q06ZNevTokWeffbbWtgALj6TIRdB3vvOdDB06NO+8805mzJhRfPrQN73xxhvF6XXWWWe+66gtzvzW8804vXr1ajBO9+7d5znQ/s53vpPnnnsun332WcaMGZMuXbrUGuPjjz/O559/XmtbgHk1x3gy5wWt2SerdZlzfl1tmVOXLl3mGQ+ee+654vSmm24617yxY8cWn9xQ3xMrk1lPWZitoXEQaFmWX375vP322/nPf/5TUvn5HUuSWWPb448/nqT0sa2UcQ2YZfz48enXr1/efffdJLOehFCui92NOddp06ZN1lprrQZjz+94MnXq1CTJu+++m3333bfB+GeffXZx+r333pMUCQ1oyrGkNp988kkeeuihJMl3v/vdrLfeevMdo1WrVllppZXm+f+Gjk1Ktfzyyxen//Of/0iKhAX0zW1qfkybNi1Jcu211+baa6+tt+z48eOLxwpbb711rUmRc2rMOQ5Qft+24/3XX389yaxzpsUXX7zOct26dcsKK6yQsWPHlnTdtG3btll99dXn+f/Z49ISSyyRDTbYoJGthsrXXGPJ7DEgmXU+U5+NN944gwcPTk1NTd56661873vfmydOuceSJMXEp+rq6pLWBdA4VVVVC72OphxLGtMeYOHw+uxF0JZbbplk1h3Cc17M+qY5H+27xRZbzFcdq622WjHjv6FHBP/rX/9Kkqy00kpZddVVa21rQ3HGjBmTt956q862lhpnQfoMi6LmGE9WWWWVrLzyykmS999/P4VCoc6yI0eOLE7X9kNgKWY/Sj1J9t5777nmzZmQ1NCr4qZPn17rckDLN/tOvtpedVuq+saSJHO9cnN2okVtPv/884wfPz5J48c1WNR89tln2WGHHfLaa68lSc4///wcddRRZYvfu3fvVFdXJ6n/3GLatGkZNmxYcZnFFlusUfU1NJ4ATaOpx5La3HzzzcXzjHInX84eS5ZccslGPfVgtjmfeLAgx0rALN+mbcoxCdCQ2ddAG7pumvz32mljr5u+8847efHFF5Mk/fv3b/T5FlA+5fr9pKnGkhdffDEvv/xykmTHHXfMcsst1+AyQOPMvpaSpEmeEllKHc15XDJjxoxirkpT9RdoHEmRi6Ddd9+9OF3XXcQ1NTXFVzZ16NAhffr0ma86qqqqiq+TeuONN4o/Bn7TsGHDihn3u+222zwZ9D169Cg+Ve5vf/tbJk+eXGucgQMHFqf79+8/z/xdd901rVrN+rrXd+f07DitWrXKrrvuWmc5YJbmGE+SZI899kgyKznokUceqbPcHXfcUZyeMxm6VK+99lpuvfXWJLNeP9WjR4+55i+77LJp3759kuTpp5+u90B6ziSJ1VZbbb7bAiwczzzzTPEJLeuvv36jYjQ0liT/HdeS5M4776wz1p133llMBt9qq60a1R5YlEyePDk77bRTnn/++STJaaedlpNOOqmsdSy99NLZdtttkySDBw/Ohx9+WGu5O+64o/gU+trOUUrR0HgycODAFAqFev/95je/KZZ/7LHHiv//zRvSgP9qjrGkNrPPmxZbbLH5eoVuQx5++OE8+eSTSZL9998/HTp0aFScmpqa/P3vfy/+3dhjJeC/5kw0nN9tqqFjgEKhkFVWWSXJrBtOZ//f7CfWz49SznGA8vu2He/Pvgb6yiuvZNKkSXWWe+WVV4pv42nsddNf//rXxemmvnEFvu2aayyZc3seOnRovWVnPzCnqqpqnjqaaiyZfb6VJAMGDGiwPNA47733Xv75z38mSdZYY40me9jDX/7yl+L01ltvPc/85jwuufXWW/PZZ5/V2RZg4ZEUuQjadNNNiz+qX3311Xn66afnKXPRRRcVHyl87LHHznOX3eOPP56qqqpUVVXl4IMPrrWe4447Lq1bt06SHHPMMfn666/nmv/111/nmGOOSTIr6/64446rNc4JJ5yQJJkwYUJ+9atfzTN/5MiROe+885Ika665Zq0/OHbp0iX7779/kuShhx7K7bffPk+Z2267rfiaqgMPPLDOV2wD/9Wc48kSSyyRJPnlL39ZTDCY04033li8sL/TTjule/fu85SZ8wkM3zRq1KjstttumTFjRhZffPFcdtll85Rp1apVdtpppyTJ6NGjc84559Qaa+LEiXP9aLrzzjvXWS9QHgMHDiyOJWeeeeY884cPH15MbKjLRx99NNcFsbqe0LSgY0mSbLDBBvnRj36UJLnllltqTfgeM2ZMTj/99CSzXulyyCGH1Nt+WNRNmzYt/fv3Lyb+HHvssfnd734333EaGk+S/56jzJgxI0cddVTxNfezjR8/vngs0KFDhxx++OG1xinHeAKUV3OOJXN69dVX88ILLyRJfvjDH871St2G1DeWjBgxIgcccECSZLnllsu5555ba7m//vWv84xlc6qpqcnxxx+fV155JcmsmzUkV0PdBg4cmClTptRb5uKLL87999+fZNaPb9+8CaqU6yXl4pgEKtv8Hpc01uynUU+dOjW//OUva33jz5QpU/KLX/yi+Hdt102/+OKLfPnll3XWc8EFF+SWW25JMuvajbd+QfNoaCzZaaedig+/Oeecc+o8vrjyyivz7LPPJkk222yzeZ7YWK6xZE4zZ87MzTffnGTWedHs33mA+XPPPffU+8CYsWPHZo899si0adOSJEceeeQ8ZRoaS0aMGJF33nmn3nZceeWVueqqq5LMygOpLT+kHGPJxIkTG7ypbPjw4Tn66KOTzEr0/n//7//VWx5oXt7nuYi69NJLs8UWW+Trr7/O9ttvn1NPPTV9+vTJ119/nUGDBuXKK69MMutJjccff3yj6ujRo0dOPPHEnH/++Xn22WezxRZb5KSTTsoaa6yRkSNH5oILLihe8D/xxBOz1lpr1RpnwIABueaaa/Lkk0/mj3/8Y8aMGZOf/vSn6dixY4YPH56zzz47n3/+eVq1apU//OEPdT7W+JxzzsmDDz6YcePGZd99982zzz5b3LHde++9ueiii5Ikyy+/fKN+8IBFVXOMJyuvvHJ++9vf5le/+lVGjBiRTTfdNCeddFI22GCDfP7557njjjvypz/9KUnSvn37XHzxxbXGOeKIIzJu3Ljsscce2WSTTdKhQ4eMGzcujzzySP785z8Xx5Irr7wyPXv2rDXGr3/96/zjH//I5MmTc+aZZ+a5557LgAEDsvrqq2fKlCkZNmxYLrnkknzwwQdJkm233Tbbb799o/oNi4onnnhirpPc2a+LTma9DmnOJ0InadQPgq+99loOOeSQfP/7388uu+ySXr16FZMNPvroozz22GO59tpri3fzbbfddnXWU46xJEkuueSSPP3005k0aVJ23nnnHHfccdlxxx2z5JJLZvjw4TnvvPOKT6A7++yzvT4bGrDvvvvm4YcfTpL07ds3hx12WDF5pzbV1dWNfspR3759s88++2TQoEG5++67069fvxx33HHp2rVrRowYkXPOOad4LHDBBRekY8eOtcYp13gClE9zjiVzuu6664rT8/vUkh/96Efp3Llzdtttt/T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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "mu=1\n", + "\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv)\n", + "\n", + "# plot landscape\n", + "_=getfig(Ecost)\n", + "# plot landscape\n", + "_=getfig(Eexco)\n", + "# plot landscape\n", + "_=getfig(E)\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "36b8ad2c", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1496f3f6", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "062003cc", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a5fb941b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "caf908f1", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "33fbf3de", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/newbeginning.ipynb b/newbeginning.ipynb index dd672ef..dffca33 100644 --- a/newbeginning.ipynb +++ b/newbeginning.ipynb @@ -33,7 +33,6 @@ "metadata": {}, "outputs": [], "source": [ - "Aer.backends()\n", "backend = Aer.get_backend('statevector_simulator')" ] }, @@ -121,15 +120,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "65297e2a", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.1, 1. ])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "CR" + ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "id": "afa02c16", "metadata": {}, "outputs": [], @@ -139,13 +151,13 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "id": "d228f979", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -157,7 +169,7 @@ } ], "source": [ - "x, e, es, ue, lab = getSpectrum(CR, FR)\n", + "x, e, es, ue, lab = getSpectrum(CR, FR,mumax=1)\n", "\n", "pl.figure(figsize=(10,6))\n", "for key in ue:\n", @@ -175,7 +187,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "id": "b6491723", "metadata": { "scrolled": false @@ -187,29 +199,49 @@ "text": [ "mu= 0.1\n", "Optimization terminated successfully.\n", - " Current function value: 0.180217\n", - " Iterations: 11\n", - " Function evaluations: 23\n", + " Current function value: 0.112878\n", + " Iterations: 12\n", + " Function evaluations: 24\n", "mu= 0.2\n", "Optimization terminated successfully.\n", - " Current function value: 0.332604\n", - " Iterations: 9\n", - " Function evaluations: 19\n", + " Current function value: 0.249956\n", + " Iterations: 12\n", + " Function evaluations: 24\n", "mu= 1\n", "Optimization terminated successfully.\n", - " Current function value: 0.523343\n", - " Iterations: 10\n", - " Function evaluations: 21\n", + " Current function value: 0.484243\n", + " Iterations: 9\n", + " Function evaluations: 19\n", "mu= 10\n", "Optimization terminated successfully.\n", - " Current function value: 0.602647\n", - " Iterations: 10\n", - " Function evaluations: 22\n" + " Current function value: 0.507151\n", + " Iterations: 15\n", + " Function evaluations: 28\n" ] }, { "data": { - "image/png": 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" ] @@ -231,7 +263,7 @@ }, { "data": { - "image/png": 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s4an8MGrUKElSy5YttWDBAqdtkmJfu3ZN4eHhkqQSJUqoefPmaeoLQMZ5Kjckb1+2bFnLbc+fP5+mfgDYx1P54ddffzUfid2nTx+VLFnSabt77rlHnTt31vfff68tW7Zox44dql27dpr6AnBnSX7OcOLECXO2FmeOHz9uLttxjwPAnWfUqFEaOXKkJOm+++7TwoULmTkWyGFOnTqlH374QZLUvHlz/fzzz6m2P3funHlvsmLFirr//vszfYwAsk7y6wR31wzcnwRylvDwcPPe5ptvvuly0qcWLVqoRYsWWrZsmebOnatLly6pcOHCnhwqvAxFkQCQRnfffbdWr16tgwcPKi4uTn5+zlPp3r17zeUaNWpkqM/58+fr+eefV0JCgkqVKqXly5e7LXgA4HmeyA9Jj7WbNGmSJk2alGrbiIgIdezYUZLUtGlTiiKBLOKJ3HDPPfeYy/Hx8am2Tb7e1VgAeIYn8sOePXvM5fvuuy/VtvXq1dP3339v9klRJODd7r77bnM5eZ5xJmm9n5+fqlatmqnjApD9fP311xoyZIikxHOR3377TYUKFcriUQHwtKT7kpL08ccfu22/Z88e895k165dKYoEvBz3JwG4ktb7k8uWLVNCQoL279/P+QMyhMdnA0AaNW7cWFLiDGypTem+atUqc7lRo0bp7m/58uV6+umnFRcXp6JFi2rp0qWqXLlyuuMByDyezg8A7gyeyA3ly5dXuXLlJElHjhyRYRgu2x46dMhcLlOmTJr6AWAvT+SH5B8uxMXFpdo2NjbW6esAeKeQkBD5+/tLujXP3C4mJkYbNmwwX5MrVy6PjA9A9vDDDz+od+/ekqRKlSpp2bJlPL0GAACkUL9+fXMW6X/++SfVttyfBHIW7k8iq1AUCQBp9MQTT5jLrmZpS0hI0NSpUyVJgYGBCg0NTVdf69atU9u2bRUdHa2AgAD99ttvt3zTCkD24on8YBiG23/ly5eXlFgklfSzlStXpmubAGScp84d2rdvL0mKiorS8uXLXbabPXu2uZxUkAUga3giP1SsWNFcXr16daptkxdFJX8dAO9UsGBBtWjRQpK0bNkynThxwmm72bNnKyoqSpLUrl07j40PQNabPXu2unfvLsMwVLZsWS1fvlylS5fO6mEByCIVKlSwdG8ySdOmTc2fTZ48OesGDsAj8ufPr4cffliS9Ndff+nAgQNO2yUkJGjevHmSpHz58rmdNQ7AnS8t9yf/+9//SpIcDocqVKiQmcNCDkBRJACkUYMGDdSkSRNJ0oQJE7R+/foUbUaPHm1OA923b98UsyisXLlSDodDDodD3bp1c9rP9u3b1bp1a127dk358+fXokWLVK9ePXs3BoCtPJUfANxZPJUb+vXrpzx58kiS+vfvbxYvJDdt2jSzSLp169YKCgpK72YBsIEn8kOLFi2UL18+SdI333yjXbt2OR3LkiVLNGfOHEmJszTUqVMnvZsFIJuYPHmymR+GDRvmtM3AgQMlJc7U0KtXrxSPuYuIiNDgwYMlJRZm9+jRI1PHDMAzrOSH33//XR07dlR8fLxKlCihZcuW8aEkkANYyQ8AciYr+WHIkCGSEid36NWr1y0zviX56KOPzJkiu3fvrty5c2famAF4hrv80Lp1azkcDknShx9+qJMnTzqNM378eG3evFmS9MADD6ho0aKZNmbkDMw1CgDpMHbsWDVq1Eg3btzQQw89pDfffFOhoaG6ceOGwsPDNX78eElScHCwBgwYkOb4hw4dUqtWrRQZGSlJ+uCDDxQQEKDdu3e7fE2JEiVUokSJdG0PAPtkdn4AcGfyRG4oV66c3n//fb3++uvatWuXGjRooMGDB6tWrVqKiorS7Nmz9c0330iSChUqpDFjxti2fQDSL7PzQ2BgoIYMGaKhQ4fqypUrevDBB9WnTx+FhYWpcOHCOnv2rObNm6fvvvtOCQkJkqSRI0fKx4fv0QJZac2aNTp48KD5/4iICHP54MGDKWZbSu8Xqpo3b65nn31W4eHhmj9/vsLCwtSvXz+VLl1au3bt0ocffqhjx45JkkaNGqXChQunqx8A9vFEftiwYYPatWunmJgY5cqVS2PGjFFsbGyq9ybLli2rwMDANPcFwD6eOn8AcOfxVH5o0KCBXn31VX399ddaunSpGjdurNdee03BwcE6f/68pk2bpmnTpkmSgoKCKL4GsgFP5Ifq1aure/fumjhxok6ePKm6deuqX79+atKkiQoWLKjjx48rPDxc06dPlyT5+vrqo48+Stf2AMlRFAkA6VC3bl399NNP6ty5s6KiovTmm2+maBMcHKxFixapYMGCaY6/evVqnTt3zvz/a6+95vY17777LhcPQDaQ2fkBwJ3JU7lh0KBBunjxokaNGqV9+/bphRdeSNGmRIkSmjt3rqpWrZrufgDYxxP54e2339bFixc1duxYXb16VSNGjNCIESNStMuVK5c++ugjde7cOV39ALDP999/rylTpjhdt3btWq1du/aWn2WkqGHixImKiorS4sWLtWLFCq1YseKW9T4+PnrnnXf08ssvp7sPAPbxRH749ddfdf36dUlSbGysOnXq5PY1kyZNosAKyGKePH8AcGfxZH74/PPPdfXqVU2dOlUbN25Ux44dU7SpUqWKFi5cqGLFiqW7HwD28FR++Prrr3Xt2jX99NNPOn/+vN566y2n7fLnz6/x48erWbNm6eoHSI6v/QNAOrVp00Y7d+40v+GUL18+BQYGqn79+ho1apS2bdumKlWqZPUwAWQB8gMAZzyVG0aMGKG1a9eqS5cuqlChgnLnzq2AgACFhIRo+PDh2r9/vxo2bGjDFgGwS2bnB4fDoTFjxmjTpk165ZVXdO+996pgwYLy9fVVQECA6tWrp/79+2v37t3mo3QB5Bx58+bVokWL9OOPPyosLEwlSpSQv7+/goKC9Nxzz2nNmjV8CRMAAACAJb6+vpoyZYqWLFmi9u3bq0yZMvL391eRIkXUpEkTffbZZ9q1a5eqVauW1UMF4EG5c+dWeHi4/vjjDz3//PMKDg5W/vz55efnpyJFiqhhw4Z65513tHfvXj333HNZPVx4CYdhGEZWDwIAAAAAAAAAAAAAAAAAACCjmCkSAAAAAAAAAAAAAAAAAAB4BYoiAQAAAAAAAAAAAAAAAACAV6AoEgAAAAAAAAAAAAAAAAAAeAWKIgEAAAAAAAAAAAAAAAAAgFegKBIAAAAAAAAAAAAAAAAAAHgFiiIBAAAAAAAAAAAAAAAAAIBXoCgSAAAAAAAAAAAAAAAAAAB4BYoiAQAAAAAAAAAAAAAAAACAV6AoEgAAAAAAAAAAAAAAAAAAeAWKIgEAAAAAAAAAAAAAAAAAgFegKBIAAAAAAAAAAAAAAAAAAHgFiiIBAAAAAAAAAAAAAAAAAIBXoCgSAAAAAAAAAAAAAAAAAAB4BYoiAQAAAAAAAAAAAAAAAACAV6AoEgAAAAAAAAAAAAAAAAAAeAWKIgEAAAAAAAAAAAAAAAAAgFegKBIAAAAAAAAAAAAAAAAAAHgFiiIBAAAAAAAAAAAAAAAAAIBXoCgSAAAAAAAAAAAAAAAAAAB4BYoiAQAAAAAAAAAAAAAAAACAV6AoEgAAAAAAAAAAAAAAAAAAeAWKIgEAAAAAAAAAAAAAAAAAgFegKBIAAAAAAAAAAAAAAAAAAHgFiiIBAAAAAAAAAAAAAAAAAIBXoCgSAAAAAAAAAAAAAAAAAAB4hf8HpR1URB/7OgMAAAAASUVORK5CYII=\n", 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" ] @@ -265,7 +317,7 @@ }, { "data": { - "image/png": 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WWzbYbuzYsaV2X/va1xZbXolcUo4XXnih9P6hQ4c2+f2wovq0FEVWKpcoioRPN8/hWwHdfPPNpdeHHHJIvW3atGmTgw46KEkybdq03H///U3qoyiK3HLLLUmSgQMH5vOf/3y97T7/+c9nww03TJLccsstizyiIUleeumlPP/880mSb3zjG+ncuXO9cQ4++ODS65tuummx5bfeemtqa2uTNDznhePU1tbm1ltvbbAdUKcl8kmS/P73v0+SdOvWLUcffXTTB5rkiSeeSJKsv/762WCDDRps9+UvfzlJ3WOy68sDc+fOLb1ed911G4yz3nrr1fseoHXr2rVr6fXs2bMXW16pXHL33Xfn5ZdfTpKceuqpadeu3VKNGyjP0KFDS6+b+hi4BT788MPcd999SeoeU7vGGmvU2+5rX/taVllllST1n6NUKp980lFHHZWPPvoow4cPzw477NBoe6DpKpFLynHNNdckqXu09YJzqoXNmjUr//73v5Mk22yzTbp169ZgrAW55N133y09Oqqp2rVrV3r0dn3HSUDTLTj/qMQ29frrr+enP/1pkuTiiy9Ohw4dynrfsjomAZaN1ny8X4nrpgtyUpLsuuuuDcbYYIMNSnH+/ve/N3mssKJbFrmkUt+dtNR3MAvOtxKPzoZq5PtcIEkURa6AHnrooSRJly5dMnjw4AbbLXwQ/PDDDzepj1dffTVvv/32YnGW1M9bb72V1157rd6xNhanT58+GTBgQINjLTfO0swZVkQtkU/mzp1bKrIeNmxY6Uu4+fPnZ8KECXnttdfK+vLgvffeS5J85jOfWWK7hZf/61//Wmz5gkLuJPnPf/7TYJwFX47W1NQs8UsFoHUZMWJE6fXAgQMXW16pXHLDDTckqcsRu+++e+nf33///bz88st5//33mzZwoCxz5swpvW7btm2zYjz++OOlC2RLOrfo0KFD6cdhjz/+eD7++ONFllcqnyzsr3/9a2677bb07Nkzv/71r5fYFmi+SuSSxowfPz6PPPJIkmT77bfP2muvvVibhY8XKplLGnLfffdlypQpSeo/TgKa5sUXX8zTTz+dpDLb1JFHHpkZM2bkwAMPzBe/+MWy37csjkmAZaO1H+839brpJ9+T/F9OSsrPS6+99lreeOONJo0VVmTLKpf06tUrPXv2TNL8HPDJf1uaOEtSFEX+9Kc/Jan7fmufffZp0vuB1q8lcgnQ+imKXAEtuPPi+uuvv8S7Ei18MW7Be8r13HPP1Runqf00J86ECRMyY8aMeuN069Ytffr0aTBG3759S3dzaeqcYUXUEvlk7NixpaLHTTfdNNOnT89xxx2XXr16Zc0118w666yTbt26ZdiwYXnggQcajLPyyisnST744IMl9rfw8oVz0AL77bdfKU+ce+65mT9//mJtnnrqqdx+++1Jkm9/+9ul9kDrU1tbm0mTJuWf//xn9t5779LFsIEDB2aXXXZZrH2lcsljjz2WJFl77bXTtWvXXHfdddl0002z6qqrZsCAAVl11VWz4YYb5te//vUihRfA0nnwwQdLrzfaaKNmxWjOOcq8efNKd4ddoFL5ZIFp06bl2GOPTVJ3jNKrV68lxgWarxK5pDHl3LVkQR5JKpdLPunDDz/Mc889lzPOOCN777136d8X5BugaWbOnJmXX345v/nNb7LDDjtk3rx5SZLjjjtuqeKOGDEid9xxR3r06JHzzjuvSe+t9DEJsGx8Go73d9lll6yzzjpJkgsvvHCx72mS5M0338xVV12VJNluu+2yySabLLK8JY5vYEW2rHPJEUcckSR58sknc+edd9bb5qyzzkpSdyf6ww47bLHllcgljXnggQdKxdRf+9rXFsk9QHluuOGGfPazn03nzp3TtWvXbLDBBhk+fHiznhi4JF/60pfSu3fvdOjQIb17984Xv/jFnHPOOZk6deoS37cscsmPfvSjrLXWWunYsWN69OiRLbbYIscff3xeeuml5k0OWOYURa5gZs+eXfpVf0OPeVugR48e6dKlS5K6QsOmePPNN0uvG+unf//+pdef7Kc5cYqiWOR9C8dpLMbCcZo6Z1jRtFQ+WfiCVm1tbbbaaqtceOGFmTZtWunf586dm3vvvTc77rhjzj333HrjLPiy8vnnn8/kyZMb7G/hux3U9wvjXr165dprr03nzp3z8MMPZ8iQIbnmmmvy2GOP5d57782ZZ56ZHXbYIXPnzs2WW27Z5C8jgJax9tprp6amJm3btk2fPn2y00475eabb05S9yiFG2+8sd5i70rkktra2rzwwgtJ6nLKsccem/333z/PPvvsIu1eeumlnHzyydlxxx0XyXlA89TW1uacc84p/f83vvGNZsWp1LlOpY5NFjjllFMyceLEbLvttvnOd76zxHEBzVepXLIkC9+1ZKWVVsrXv/71ett169Ytffv2TVL3g4slPeap3FySJGeccUZqampSU1OTVVZZJRtvvHHOPPPMfPjhh2nbtm1+//vfZ7vttmvqtGCFddVVV5W2qS5dumTAgAE58cQTM2nSpCTJaaedlm9/+9vNjj916tRSUeU555yT1VZbrUnvr/QxCbBsfBqO9zt06JDrrrsuvXr1yvjx47P55pvnj3/8Yx5++OE88MADOe+88zJ48OBMnTo16667bq644orFYiz8g5OFf4jySe+++27p2koiL0G5lnUu+eEPf1j6oflXv/rVnHTSSfnHP/6Rxx9/PH/5y1/yxS9+MX/7299K5xX1/di0ErmkMQv/CO2ggw5q/oRhBfbcc8/l+eefz6xZs/LRRx/llVdeyTXXXJMdd9wxe++9d6M/bijXPffck8mTJ+fjjz/O5MmT8+CDD+YHP/hB1l133dKTBuuzLHLJI488kjfeeCNz587NtGnT8vTTT+eCCy7IRhttlDPOOCNFUVRkzkDlKIpcwXz44Yel1+X86mVBEdNHH320zPpZ0Ed9/VQ6zrKcM6xoWiqfLPxIuHPPPTcvv/xyvvzlL2f06NGZPXt23n333Vx00UXp1q1biqLIaaedVu9B8J577pmk7rHbP/7xj+vt6+WXX86VV15Z+v+F5/jJWGPGjMlhhx2Wp59+OsOHD88222yTYcOG5Ywzzkjnzp1zwQUXZNSoUY0+5gVoPdq1a5ef//znefrppxu861MlcskHH3yQ2traJMm4cePy29/+Nn379s2f/vSnvP/++5k5c2YefPDB0mN3H3nkkRx66KFLPT9Y0Z1//vkZPXp0krq7AAwePLhZcSp1jlLJY5NRo0blsssuS7t27XLxxRenpqZmyZMAmq1SuWRJHnroodKjnfbee+907dq1wbYLcsmUKVMa/EHWQw89VLqTfdJwLmnMTjvtlGeffTZHHXVUs94PLGrQoEEZPXp0zj777KXad5988smZNGlSttlmm3z3u99t8vsreUwCLBufpuP9z3/+83nqqady0kkn5Y033sgRRxyR7bbbLkOHDs1JJ52UmTNn5qyzzsrjjz+eDTbYYLH3b7fddunRo0eS5Morr1zsjvsL/OQnP1nkCT7yEjSuJXJJly5dctttt+Xyyy/PGmuskfPOOy9f+cpXsvXWW+db3/pWHnzwwXzta1/Lo48+msMPP7zBOEubS5Zk5syZ+fvf/56k7seuO+6441LNGVY0nTt3zre+9a1ceumlGTVqVJ566qncfffd+dGPfpRVV101SXLzzTdnr732yscff9zsfjbddNP85Cc/yciRIzNmzJg89thjufrqq/OlL30pSd2db/fZZ5/84x//aDBGpXJJ3759c9RRR+X666/P//7v/2bMmDG56aab8p3vfCft27dPbW1tzjzzzPzoRz9q9nyBZaRghfLGG28USYokxYEHHtho+/79+xdJivXWW69J/fzsZz8r9XPfffctse19991XanvWWWctsmzHHXcsLZs/f/4S4/zkJz8ptR01atQiy9q0aVMkKbbffvtGx7799tsXSYq2bds22hZWZC2VT84666xSP0mKYcOGFfPmzVus3ahRo0rb+kYbbVTU1tYusnzatGnF6quvXopzwAEHFGPHji3mzJlTTJkypbjmmmuKPn36FDU1NUX79u2XmAfmzJlT/OAHPyhWW221Rca28H9bbbVVccsttzRprkCdV199tbQtDR8+fJn08eKLLxbjxo0rxo4dW/zzn/8szjrrrKJfv35Fhw4digMPPLD48MMP631fJXLJhAkTFskXnTt3Ll544YXF+po5c2ax+eabl9o99thjy2RdwIrggQceKNq1a1ckKXr37l1MmjSp2bEOPfTQ0nY5fvz4Jba9/PLLS22vvfbaRZZV6thkzpw5xcCBA4skxcknn7zY8tNPP73Ux/3339/seQOVzSVL8t3vfre03d55551LbPuf//yn6Nq1a5GkqKmpKY477rjipZdeKubOnVu88847xe9///uia9euRYcOHUoxGzsnmzRpUjFu3Lhi3LhxxWOPPVZceeWVxdChQ4skxWabbeaYBJpo6tSppW1q9OjRxfXXX1/svffepe1x5MiRzY794IMPFjU1NUW7du2KsWPHLrZ8rbXWKpIUa621VoMxKnm95JNa4twOqt3yPN4fPnx4Kfarr75a1ntqa2uLX/3qV8Waa67Z4HXTgQMHFpdffnmDMX7961+X2vbt27e45ppriilTphRz5swpxo4dW+y///5FkkWObz753RKwqJbMJQ8//HAxdOjQoqampt4c0LVr1+Lwww8vpk2b1mCMSuSShvz5z38uxTjttNOWZqqwQpo6dWqDyyZOnFhsscUWpW3swgsvrHgfRVEUF198camPfv36FbNmzaq3XSVyyUcffVTMnTu3weX/+7//W3Tr1q10Xebpp58ua45Ay1AUuYJ59913Swn+m9/8ZqPte/fuXSQpNtlkkyb189///d+lfv7xj38sse0dd9xRavvrX/96kWVf+cpXSssa2pktcMopp5TaPvHEE4ss69y5c5Gk+NznPtfo2LfeeusiSbHyyis32hZWZC2VT371q18tcnD65JNPNth23333LbWr78uAJ554ojSOhv47++yzS8WO3bt3XyzGRx99tEjx9CmnnFI8//zzxZw5c4oPPviguPvuu4vtttuudPB73nnnNWm+wPL74uz9998vhgwZUvrCv6HCyKXNJZMnT16k7f/7f/+vwTHddtttpXbHH398RecLK4pnn3226NGjR5Gk6NSpU/Hggw8uVbwjjzyytF0+//zzS2z7P//zP6W2f/vb3xZbXoljkwVfXKy55prFRx991OByRZGwdCqdSxoya9asonv37qUL+/X9IOyT7rjjjmLllVduMI+0bdu2uOSSS0r/P2jQoGaN7ec//3lp/nfddVezYgD/55prrilqamqKNm3aFFdeeWWT3z979uxiww03LJIUJ554Yr1tyimKLIrKHJPUR1EkLL3lebzf1KLI+fPnF1//+tdL7/nOd75TPPnkk8WsWbOKjz76qHjooYeKPffcs7T82GOPrTdObW1tcdhhhy0xJ62zzjrFj3/849L/X3DBBRWdO1SblsolN9xwQ9GxY8fS9dWbbrqpeO+994q5c+cW48ePL375y18WK620UpHU3dzirbfeWixGpXJJQ3bZZZeyr+sATTd+/PjSj6nWX3/9ZdbPd77zndK2/Kc//Wmx5cs6lyzs2muvLcU57LDDlmJWQKV5fPYKZuFHLpXzCNsZM2YkKe/RuM3tZ0Ef9fVT6TjLcs6wolke+WS11VbLFlts0WDbXXbZpfT68ccfX2z54MGD8/TTT+foo49e7LHWQ4YMyW233ZbTTjut9LiVBY9qWdgZZ5yRUaNGJUkuv/zynHvuuRk4cGA6dOiQVVZZJcOGDcv999+foUOHpiiKnHzyyRk7dmyT5gwsHz169MjVV1+dJHnmmWfyy1/+st52S5tLPvkIzAWPe6jPTjvtlHbt2iWpP68BS/bqq6/mS1/6UqZOnZq2bdtmxIgR+a//+q+lilmpc5Rk6fPJCy+8kLPPPjtJ8rvf/W6Rx3UDlbMscklDbr311kybNi1Jsv/++6dt27aNvmfXXXfNk08+mYMOOijdu3cv/XtNTU2GDh2aUaNGlR6Pm9R/nlOOH/3oR9l6660ze/bsfPe73828efOaFQeoc+CBB+brX/96amtrc/TRR+f9999v0vt/8Ytf5MUXX0z//v1z5plnLtVYKnG9BKi8T9vx/kUXXZQbbrghSd011MsuuyxbbLFFOnXqlC5dumTbbbfNLbfckgMPPDBJcuGFF2bkyJGLxampqcmll16aG264IV/4whcWOR7q1q1bjjrqqDz55JOLnGPJS9CwlsolkyZNysEHH5w5c+Zk4403ziOPPJKvfvWr6dmzZ9q3b5911103P/jBDzJy5MjU1NTk+eefzzHHHLNYnErlkvq88847uffee5PUHeMMHDiwQrMHFlh33XUzbNiwJMkrr7ySt99+e5n0c/jhh5deP/jgg4stX5a55JO+9a1vZZVVVmlwLMDy0255D4CW1alTp6y66qp577338uabby6x7dSpU0tf4vXv379J/ayxxhql1431M2HChNLrT/bzyTi9evVqNE5NTc0i71sQZ9KkSY2OZeE4TZ0zrGhaKp8s3P6T2/aS2k6ePLneNn379s3vfve7/O53v8vEiRMzffr0fOYzn0m3bt2S1OWa2bNnJ0k23njjRd5bFEWuuOKKJMmAAQMyfPjwevto165dzjrrrGy33Xapra3NVVddlfPPP7+RmQKtwUYbbZQNNtggL7/8cv72t781WBi5NLmkY8eOWW211Up5akl5sVOnTunVq1cmTpzYYF4D6vf2229n5513zttvv52amppcccUV2WuvvZY67ifPUbbaaqsG2y7pXGeBpckn559/fubOnZt11103M2fOzIgRIxaL/+yzz5Ze//Of/8zEiROTJHvssUer/1IVWoNllUsacs0115ReH3TQQWW/b4MNNsjVV1+d2travPPOO5k5c2b69etX2s4feuihUttP5pKm2GuvvTJ69Oi88cYbGT16dL7whS80OxZQt0399a9/zYwZM3LnnXfm29/+dtnvPffcc5MkO++8c4Nf3i24FjNjxozScULv3r2z4447LtZ2aY5JgGXj03a8f9lllyWp+yHZaaed1mC7X/7yl7n22muTJFdccUX22GOPetvtu+++2XfffTNz5sxMnDgx7dq1y+qrr14qknz55ZdLbeUlaFhL5ZIRI0aUjj1++MMfNvi+nXbaKTvttFPuvffe3HzzzZk6deoihc2VziUL+/Of/5z58+cnadr5FtA0n/3sZ3PHHXckSd56663069dvmfSxwFtvvbXY8mWZSz6pXbt2GTBgQJ544ol6xwIsP4oiV0Cf/exnM2rUqLzyyiuZN29e6e5Dn/TCCy+UXm+00UZN7qO+OE3t55NxBg0a1Gic/v37L3ag/dnPfjZjxozJBx98kIkTJ6ZPnz71xnjnnXcyffr0escCLK4l8snCF7QWnKw2ZOHlDY1lYX369FksH4wZM6b0euutt15k2aRJk0p3bljSHSuTurssLNBYHgRal9VWWy0vv/xyXn/99bLaNzWXJHW57YEHHkhSfm4rJ68BdaZMmZJhw4blP//5T5K6OyFU6mJ3c8512rVrlw022KDR2E3NJ3PmzEmS/Oc//8l+++3XaPyzzjqr9PrVV19VFAmNWJa5pD7vvvtu7rrrriTJlltumU022aTJMdq0aZPVV199sX9v7NikXKuttlrp9euvv64oEpbSJ7epppg7d26S5Morr8yVV165xLZTpkwpHSvssMMO9RZFLqw55zhA5X3ajveff/75JHXnTB07dmyw3RprrJHPfOYzmTRpUlnXTTt37px11113sX9fkJc6deqUzTbbrJmjhurXUrlkQQ5I6s5nlmTw4MG59957U1tbm5deeimf+9znFotT6VySpFT41KFDh7LWBdA8NTU1y72PZZlLmjMeYPnw+OwV0HbbbZek7hfCC1/M+qSFb+277bbbNqmPddZZp1Tx39gtgv/1r38lSVZfffWsvfba9Y61sTgTJ07MSy+91OBYy42zNHOGFVFL5JO11lora665ZpLktddeS1EUDbYdP3586XV9XwSWY8Gt1JPkm9/85iLLFi5IauxRcR9//HG97wNavwW/5KvvUbflWlIuSbLIIzcXFFrUZ/r06ZkyZUqS5uc1WNF88MEH2WWXXfLcc88lSc4555wcddRRFYs/ZMiQdOjQIcmSzy3mzp2bxx57rPSe9u3bN6u/xvIJsGws61xSn+uuu650nlHp4ssFuWSllVZq1l0PFlj4jgdLc6wE1Pk0bVOOSYDGLLgG2th10+T/rp0297rpK6+8kqeffjpJsvfeezf7fAuonEp9f7KscsnTTz+dZ555Jknyla98Jauuumqj7wGaZ8G1lCTL5C6R5fTRkscl8+bNK9WqLKv5As2jKHIF9NWvfrX0uqFfEdfW1pYe2dS9e/cMHTq0SX3U1NSUHif1wgsvlL4M/KTHHnusVHG/1157LVZBP2DAgNJd5f76179m5syZ9ca56qqrSq/33nvvxZbvueeeadOm7s99Sb+cXhCnTZs22XPPPRtsB9RpiXySJPvss0+SuuKg++67r8F2N954Y+n1wsXQ5Xruuefyl7/8JUnd46cGDBiwyPKePXtmlVVWSZI8+uijSzyQXrhIYp111mnyWIDl4/HHHy/doWXTTTdtVozGcknyf3ktSW666aYGY910002lYvDtt9++WeOBFcnMmTOz22675cknn0yS/OhHP8qpp55a0T66du2anXbaKUly77335s0336y33Y033li6C3195yjlaCyfXHXVVSmKYon/nX766aX2999/f+nfP/mDNOD/tEQuqc+C86b27ds36RG6jbn77rvz8MMPJ0n233//dO/evVlxamtr8/e//730/809VgL+z8KFhk3dpho7BiiKImuttVaSuh+cLvi3BXesb4pyznGAyvu0He8vuAb67LPPZtq0aQ22e/bZZ0tP42nuddOf/vSnpdfL+ocr8GnXUrlk4e151KhRS2y74IY5NTU1i/WxrHLJgvOtJBk+fHij7YHmefXVV3PPPfckSdZbb71ldrOHP/7xj6XXO+yww2LLW/K45C9/+Us++OCDBscCLD+KIldAW2+9delL9csvvzyPPvroYm3OO++80i2Fjz322MV+ZffAAw+kpqYmNTU1Ofjgg+vt57jjjkvbtm2TJMccc0xmzZq1yPJZs2blmGOOSVJXdX/cccfVG+ekk05Kkrz//vs55ZRTFls+fvz4nH322UmS9ddfv94vHPv06ZP9998/SXLXXXflb3/722JtbrjhhtJjqg488MAGH7EN/J+WzCedOnVKkpxwwgmlAoOF/elPfypd2N9tt93Sv3//xdosfAeGT5owYUL22muvzJs3Lx07dszvfve7xdq0adMmu+22W5Lk7bffzi9+8Yt6Y02dOnWRL0133333BvsFKuOqq64q5ZIzzjhjseWjR48uFTY05K233lrkglhDd2ha2lySJJtttll23XXXJMn1119fb8H3xIkT8+Mf/zhJ3SNdDjnkkCWOH1Z0c+fOzd57710q/Dn22GPz85//vMlxGssnyf+do8ybNy9HHXVU6TH3C0yZMqV0LNC9e/ccdthh9capRD4BKqslc8nC/v3vf+epp55Kknz5y19e5JG6jVlSLhk3blwOOOCAJMmqq66aX/7yl/W2u/TSSxfLZQurra3NiSeemGeffTZJ3Y81FFdDw6666qrMnj17iW3OP//83HHHHUnqvnz75I+gyrleUimOSaC6NfW4pLkW3I16zpw5OeGEE+p94s/s2bPz//7f/yv9f33XTT/88MN89NFHDfZz7rnn5vrrr09Sd+3GU7+gZTSWS3bbbbfSzW9+8YtfNHh8cckll+SJJ55Iknz+859f7I6NlcolC5s/f36uu+66JHXnRQu+5wGaZuTIkUu8Ycy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zTs+ePbP1GRMTY9SsWdOcC5w7dy5bDDvzybU+/PBDQ5LRsGFD45VXXrHtbg9AUeDJXOLO+fPnjeLFi5vXO5z54IMPzLEMGjTI6Z3qv/jiC7PNBx984DSOlXOWjNwiyXj22WdztzFAEeMqh2T23XffmcdURESEbf02b97ckGT84x//MGrVqmVIOd8p0s45iafO7YCiriDm+z/99JPx2WefGb///rs5L4iMjDRjW7lT5KZNm8z2devWNS5evJitzeHDh43y5csbUvrd9U+fPp1leVpamnHrrbcakgx/f39j+fLl2WIkJiYanTp1MiQZJUqUMI4cOZK3jQaKuILIJZmfsLV48WKnbfr06ZPj+YkducSqli1bGlL63WcPHz6cpxhAUWPHZ77uZL5TZF7ZlUsy3ymSa6vA9YeiyCLot99+MxP3k08+6bRNamqq0ahRI/NDvJw+pHflb3/7m9nP+vXrnbZZv359jgWPhmGY46hYsaJx5coVp21Gjx6dY8HjyZMnDT8/P0OS0aVLF5dj7tKli/mf3smTJy1sJVC0eSqfrFmzxu2HeO50797djLF3716X7QYOHGhIMooVK2acPXs22/Jnn33WjLNw4UKXcSIiIsx2f/zxR57GDBRVhfnB2ddff232/emnn2ZbblcuSU1NNerXr29IMpo0aULxNOAhixYtMo/hYcOG5TlO165dzS+FHD161GmbzPnk/fffz7bcrnxyrcOHDxtlypQxJBmrVq3KchGRC3eAPezKJe589tlnZj9vvfWW0zYZHzqWLl3aiIuLcxmrdevWhiSjatWqloq1nElOTjbzS4sWLfIUA0BWDRo0MKT0x2jbYfz48YYko0GDBkZiYqKlosiCmpMYBkWRQEHw5Hw/t0WREyZMMNt//PHHLtvldH01cwHDwIEDXcbYu3ev2W7kyJGWtwlAuoLIJRcuXDBj3H777S7bbd++3WzXp0+fbMvtyCVW7N6921w/PDw81+sDRdX1UhRpVy6hKBK4vvEcviJowYIF5utBgwY5bePn56dHHnlEkhQXF6eVK1fmqg/DMPT9999Lkho2bKg777zTabs777xTDRo0kCR9//33WR7RIEl79+7Vrl27JEn33XefSpUq5TTOo48+ar7+7rvvsi1fuHCh0tLSJLne5sxx0tLStHDhQpftAKTzRD6RpE8//VSSFBQUpKFDh+Z+oJI2b94sSapXr57q16/vst0999wjKf0x2c7yQFJSkvm6bt26LuPcdNNNTtcB4N3Kli1rvr569Wq25XblkmXLlmnfvn2SpJdeekkBAQH5GjcAa8LDw83XuX0MXIZLly5pxYoVktIfU1u9enWn7fr06aNy5cpJcn6OYlc+udYzzzyjy5cvKzIyUu3atXPbHkDu2ZFLrJgxY4ak9EdbZ5xTZZaQkKA///xTktSqVSsFBQW5jJWRS86cOWM+Oiq3AgICzEdvO5snAci9jPMPO46pw4cPa9SoUZKkzz77TIGBgZbWK6g5CYCC4c3zfTuum2bkJEnq2rWryxj169c343z77be5HitQ1BVELrHrsxNPfQaTcb4l8ehswBfxeS4ASaIosghau3atJKl06dJq3ry5y3aZJ8Hr1q3LVR8HDx7UiRMnssXJqZ/jx4/r0KFDTsfqLk5wcLBCQ0NdjtVqnPxsM1AUeSKfJCUlmUXWnTp1Mj+ES01N1dGjR3Xo0CFLHx6cPXtWknTDDTfk2C7z8v/+97/ZlmcUckvSX3/95TJOxoejDocjxw8VAHiX2bNnm68bNmyYbblduWTu3LmS0nNEjx49zN+fO3dO+/bt07lz53I3cACWJCYmmq/9/f3zFGPTpk3mBbKczi0CAwPNL4dt2rRJycnJWZbblU8y++abb7R48WJVrFhR48aNy7EtgLyzI5e4c+DAAf3666+SpLZt26p27drZ2mSeL9iZS1xZsWKFYmNjJTmfJwHInT179mjbtm2S7Dmmnn76aV25ckUPP/yw2rdvb3m9gpiTACgY3j7fz+1102vXkf6XkyTreenQoUM6cuRIrsYKFGUFlUsqV66sihUrSsp7Drj2d/mJkxPDMPTVV19JSv98q2/fvrlaH4D380QuAeD9KIosgjLuvFivXr0c70qU+WJcxjpW7dy502mc3PaTlzhHjx7VlStXnMYJCgpScHCwyxjVqlUz7+aS220GiiJP5JPt27ebRY+NGzfWxYsXNWLECFWuXFk1a9ZUnTp1FBQUpE6dOmnVqlUu45QpU0aSdOHChRz7y7w8cw7K8MADD5h5YuzYsUpNTc3WZuvWrVqyZIkk6cEHHzTbA/A+aWlpOn36tH755RdFRESYF8MaNmyoLl26ZGtvVy7ZsGGDJKl27doqW7asZs2apcaNG6tSpUoKDQ1VpUqV1KBBA40bNy5L4QWA/Fm9erX5ulGjRnmKkZdzlJSUFPPusBnsyicZ4uLiNHz4cEnpc5TKlSvnGBdA3tmRS9yxcteSjDwi2ZdLrnXp0iXt3LlTUVFRioiIMH+fkW8A5E58fLz27dunf/7zn2rXrp1SUlIkSSNGjMhX3NmzZ+uHH35QhQoVNH78+Fyta/ecBEDBuB7m+126dFGdOnUkSRMmTMj2OY0kHTt2TNOmTZMktWnTRrfeemuW5Z6Y3wBFWUHnkqeeekqS9Pvvv+unn35y2ubtt9+WlH4n+iFDhmRbbkcucWfVqlVmMXWfPn2y5B4A1sydO1c333yzSpUqpbJly6p+/fqKjIzM0xMDc9K5c2dVrVpVgYGBqlq1qtq3b68xY8bo/PnzOa5XELnktddeU61atVS8eHFVqFBBzZo107PPPqu9e/fmbeMAFDiKIouYq1evmt/qd/WYtwwVKlRQ6dKlJaUXGubGsWPHzNfu+qlRo4b5+tp+8hLHMIws62WO4y5G5ji53WagqPFUPsl8QSstLU0tWrTQhAkTFBcXZ/4+KSlJy5cvV4cOHTR27FincTI+rNy1a5diYmJc9pf5bgfOvmFcuXJlffnllypVqpTWrVunsLAwzZgxQxs2bNDy5cv11ltvqV27dkpKStLtt9+e6w8jAHhG7dq15XA45O/vr+DgYHXs2FELFiyQlP4ohfnz5zst9rYjl6SlpWn37t2S0nPK8OHDNXDgQO3YsSNLu7179+qFF15Qhw4dsuQ8AHmTlpamMWPGmP++77778hTHrnMdu+YmGV588UWdOnVKrVu31uDBg3McF4C8syuX5CTzXUtKliyp/v37O20XFBSkatWqSUr/wkVOj3mymkskKSoqSg6HQw6HQ+XKldMtt9yit956S5cuXZK/v78+/fRTtWnTJrebBRRZ06ZNM4+p0qVLKzQ0VCNHjtTp06clSS+//LIefPDBPMc/f/68WVQ5ZswYValSJVfr2z0nAVAwrof5fmBgoGbNmqXKlSvrwIEDatKkiSZOnKh169Zp1apVGj9+vJo3b67z58+rbt26+uKLL7LFyPyFk8xfRLnWmTNnzGsrEnkJsKqgc8mrr75qftH83nvv1fPPP68ff/xRmzZt0pw5c9S+fXvNmzfPPK9w9mVTO3KJO5m/hPbII4/kfYOBImznzp3atWuXEhISdPnyZe3fv18zZsxQhw4dFBER4fbLDVb9/PPPiomJUXJysmJiYrR69Wq98sorqlu3rvmkQWcKIpf8+uuvOnLkiJKSkhQXF6dt27bpo48+UqNGjRQVFSXDMGzZZgD2oSiyiLl06ZL52sq3XjKKmC5fvlxg/WT04awfu+MU5DYDRY2n8knmR8KNHTtW+/bt0z333KONGzfq6tWrOnPmjP7zn/8oKChIhmHo5ZdfdjoJ7tWrl6T0x26//vrrTvvat2+fpk6dav478zZeG2vLli0aMmSItm3bpsjISLVq1UqdOnVSVFSUSpUqpY8++khr1qxx+5gXAN4jICBA77zzjrZt2+byrk925JILFy4oLS1NkhQdHa2PP/5Y1apV01dffaVz584pPj5eq1evNh+7++uvv+qxxx7L9/YBRd2HH36ojRs3Skq/C0Dz5s3zFMeucxQ75yZr1qzR5MmTFRAQoM8++0wOhyPnjQCQZ3blkpysXbvWfLRTRESEypYt67JtRi6JjY11+YWstWvXmneyl1znEnc6duyoHTt26JlnnsnT+gCyatq0qTZu3KjRo0fn6//uF154QadPn1arVq30+OOP53p9O+ckAArG9TTfv/POO7V161Y9//zzOnLkiJ566im1adNG4eHhev755xUfH6+3335bmzZtUv369bOt36ZNG1WoUEGSNHXq1Gx33M/wxhtvZHmCD3kJcM8TuaR06dJavHixpkyZourVq2v8+PHq1q2bWrZsqfvvv1+rV69Wnz59tH79ej355JMu4+Q3l+QkPj5e3377raT0L7t26NAhX9sMFDWlSpXS/fffr88//1xr1qzR1q1btWzZMr322muqVKmSJGnBggXq3bu3kpOT89xP48aN9cYbb2jRokXasmWLNmzYoOnTp6tz586S0u9827dvX/34448uY9iVS6pVq6ZnnnlGX3/9tX777Tdt2bJF3333nQYPHqxixYopLS1Nb731ll577bU8by+AAmKgSDly5IghyZBkPPzww27b16hRw5Bk3HTTTbnq5x//+IfZz4oVK3Jsu2LFCrPt22+/nWVZhw4dzGWpqak5xnnjjTfMtmvWrMmyzM/Pz5BktG3b1u3Y27Zta0gy/P393bYFijJP5ZO3337b7EeS0alTJyMlJSVbuzVr1pjHeqNGjYy0tLQsy+Pi4owbb7zRjPPQQw8Z27dvNxITE43Y2FhjxowZRnBwsOFwOIxixYrlmAcSExONV155xahSpUqWsWX+adGihfH999/nalsBpDt48KB5LEVGRhZIH3v27DGio6ON7du3G7/88ovx9ttvGyEhIUZgYKDx8MMPG5cuXXK6nh255OjRo1nyRalSpYzdu3dn6ys+Pt5o0qSJ2W7Dhg0Fsi+AomDVqlVGQECAIcmoWrWqcfr06TzHeuyxx8zj8sCBAzm2nTJlitn2yy+/zLLMrrlJYmKi0bBhQ0OS8cILL2Rb/uabb5p9rFy5Ms/bDcDeXJKTxx9/3Dxuf/rppxzb/vXXX0bZsmUNSYbD4TBGjBhh7N2710hKSjJOnjxpfPrpp0bZsmWNwMBAM6a7c7LTp08b0dHRRnR0tLFhwwZj6tSpRnh4uCHJuO2225iTALl0/vx585jauHGj8fXXXxsRERHm8bho0aI8x169erXhcDiMgIAAY/v27dmW16pVy5Bk1KpVy2UMO6+XXMsT53aAryvM+X5kZKQZ++DBg5bWSUtLMz744AOjZs2aLq+bNmzY0JgyZYrLGOPGjTPbVqtWzZgxY4YRGxtrJCYmGtu3bzcGDhxoSMoyv7n2syUAWXkyl6xbt84IDw83HA6H0xxQtmxZ48knnzTi4uJcxrAjl7gyc+ZMM8bLL7+cn00FiqTz58+7XHbq1CmjWbNm5jE2YcIE2/swDMP47LPPzD5CQkKMhIQEp+3syCWXL182kpKSXC7/7bffjKCgIPO6zLZt2yxtIwDPoCiyiDlz5oyZ4AcMGOC2fdWqVQ1Jxq233pqrft5//32znx9//DHHtj/88IPZdty4cVmWdevWzVzm6j+zDC+++KLZdvPmzVmWlSpVypBk3HHHHW7H3rJlS0OSUaZMGbdtgaLMU/nkgw8+yDI5/f3331227devn9nO2YcBmzdvNsfh6mf06NFmsWP58uWzxbh8+XKW4ukXX3zR2LVrl5GYmGhcuHDBWLZsmdGmTRtz8jt+/PhcbS+Awvvg7Ny5c0ZYWJj5gb+rwsj85pKYmJgsbf/+97+7HNPixYvNds8++6yt2wsUFTt27DAqVKhgSDJKlChhrF69Ol/xnn76afO43LVrV45t//3vf5tt582bl225HXOTjA8uatasaVy+fNnlcooigfyxO5e4kpCQYJQvX968sO/sC2HX+uGHH4wyZcq4zCP+/v7GpEmTzH83bdo0T2N75513zO1funRpnmIA+J8ZM2YYDofD8PPzM6ZOnZrr9a9evWo0aNDAkGSMHDnSaRsrRZGGYc+cxBmKIoH8K8z5fm6LIlNTU43+/fub6wwePNj4/fffjYSEBOPy5cvG2rVrjV69epnLhw8f7jROWlqaMWTIkBxzUp06dYzXX3/d/PdHH31k67YDvsZTuWTu3LlG8eLFzeur3333nXH27FkjKSnJOHDggPHee+8ZJUuWNKT0m1scP348Wwy7cokrXbp0sXxdB0DuHThwwPwyVb169Qqsn8GDB5vH8ldffZVteUHnksy+/PJLM86QIUPysVUA7Mbjs4uYzI9csvII2ytXrkiy9mjcvPaT0YezfuyOU5DbDBQ1hZFPqlSpombNmrls26VLF/P1pk2bsi1v3ry5tm3bpqFDh2Z7rHVYWJgWL16sl19+2XzcSsajWjKLiorSmjVrJElTpkzR2LFj1bBhQwUGBqpcuXLq1KmTVq5cqfDwcBmGoRdeeEHbt2/P1TYDKBwVKlTQ9OnTJUl//PGH3nvvPaft8ptLrn0EZsbjHpzp2LGjAgICJDnPawBydvDgQXXu3Fnnz5+Xv7+/Zs+erf/7v//LV0y7zlGk/OeT3bt3a/To0ZKkTz75JMvjugHYpyByiSsLFy5UXFycJGngwIHy9/d3u07Xrl31+++/65FHHlH58uXN3zscDoWHh2vNmjXm43El5+c5Vrz22mtq2bKlrl69qscff1wpKSl5igMg3cMPP6z+/fsrLS1NQ4cO1blz53K1/rvvvqs9e/aoRo0aeuutt/I1FjuulwCw3/U23//Pf/6juXPnSkq/hjp58mQ1a9ZMJUqUUOnSpdW6dWt9//33evjhhyVJEyZM0KJFi7LFcTgc+vzzzzV37lzdddddWeZDQUFBeuaZZ/T7779nOcciLwGueSqXnD59Wo8++qgSExN1yy236Ndff9W9996rihUrqlixYqpbt65eeeUVLVq0SA6HQ7t27dKwYcOyxbErlzhz8uRJLV++XFL6HKdhw4Y2bT2ADHXr1lWnTp0kSfv379eJEycKpJ8nn3zSfL169epsywsyl1zr/vvvV7ly5VyOBUDhCSjsAcCzSpQooUqVKuns2bM6duxYjm3Pnz9vfohXo0aNXPVTvXp187W7fo4ePWq+vrafa+NUrlzZbRyHw5FlvYw4p0+fdjuWzHFyu81AUeOpfJK5/bXHdk5tY2JinLapVq2aPvnkE33yySc6deqULl68qBtuuEFBQUGS0nPN1atXJUm33HJLlnUNw9AXX3whSQoNDVVkZKTTPgICAvT222+rTZs2SktL07Rp0/Thhx+62VIA3qBRo0aqX7++9u3bp3nz5rksjMxPLilevLiqVKli5qmc8mKJEiVUuXJlnTp1ymVeA+DciRMndPfdd+vEiRNyOBz64osv1Lt373zHvfYcpUWLFi7b5nSukyE/+eTDDz9UUlKS6tatq/j4eM2ePTtb/B07dpivf/nlF506dUqS1LNnT6//UBXwBgWVS1yZMWOG+fqRRx6xvF79+vU1ffp0paWl6eTJk4qPj1dISIh5nK9du9Zse20uyY3evXtr48aNOnLkiDZu3Ki77rorz7EApB9T33zzja5cuaKffvpJDz74oOV1x44dK0m6++67XX54l3Et5sqVK+Y8oWrVqurQoUO2tvmZkwAoGNfbfH/y5MmS0r9I9vLLL7ts99577+nLL7+UJH3xxRfq2bOn03b9+vVTv379FB8fr1OnTikgIEA33nijWSS5b98+sy15CXDNU7lk9uzZ5tzj1Vdfdblex44d1bFjRy1fvlwLFizQ+fPnsxQ2251LMps5c6ZSU1Ml5e58C0Du3Hzzzfrhhx8kScePH1dISEiB9JHh+PHj2ZYXZC65VkBAgEJDQ7V582anYwFQeCiKLIJuvvlmrVmzRvv371dKSop596Fr7d6923zdqFGjXPfhLE5u+7k2TtOmTd3GqVGjRraJ9s0336wtW7bowoULOnXqlIKDg53GOHnypC5evOh0LACy80Q+yXxBK+Nk1ZXMy12NJbPg4OBs+WDLli3m65YtW2ZZdvr0afPODTndsVJKv8tCBnd5EIB3qVKlivbt26fDhw9bap/bXCKl57ZVq1ZJsp7brOQ1AOliY2PVqVMn/fXXX5LS74Rg18XuvJzrBAQEqH79+m5j5zafJCYmSpL++usvPfDAA27jv/322+brgwcPUhQJuFGQucSZM2fOaOnSpZKk22+/XbfeemuuY/j5+enGG2/M9nt3cxOrqlSpYr4+fPgwRZFAPl17TOVGUlKSJGnq1KmaOnVqjm1jY2PNuUK7du2cFkVmlpdzHAD2u97m+7t27ZKUfs5UvHhxl+2qV6+uG264QadPn7Z03bRUqVKqW7dutt9n5KUSJUrotttuy+OoAd/nqVySkQOk9POZnDRv3lzLly9XWlqa9u7dqzvuuCNbHLtziSSz8CkwMNDSvgCQNw6Ho9D7KMhckpfxACgcPD67CGrTpo2k9G8IZ76Yda3Mt/Zt3bp1rvqoU6eOWfHv7hbB//3vfyVJN954o2rXru10rO7inDp1Snv37nU5Vqtx8rPNQFHkiXxSq1Yt1axZU5J06NAhGYbhsu2BAwfM184+CLQi41bqkjRgwIAsyzIXJLl7VFxycrLT9QB4v4xv8jl71K1VOeUSSVkeuZlRaOHMxYsXFRsbKynveQ0oai5cuKAuXbpo586dkqQxY8bomWeesS1+WFiYAgMDJeV8bpGUlKQNGzaY6xQrVixP/bnLJwAKRkHnEmdmzZplnmfYXXyZkUtKliyZp7seZMh8x4P8zJUApLuejinmJADcybgG6u66qfS/a6d5vW66f/9+bdu2TZIUERGR5/MtAPax6/OTgsol27Zt0x9//CFJ6tatmypVquR2HQB5k3EtRVKB3CXSSh+enJekpKSYtSoFtb0A8oaiyCLo3nvvNV+7+hZxWlqa+cim8uXLKzw8PFd9OBwO83FSu3fvNj8MvNaGDRvMivvevXtnq6APDQ017yr3zTffKD4+3mmcadOmma8jIiKyLe/Vq5f8/NL/3HP65nRGHD8/P/Xq1ctlOwDpPJFPJKlv376S0ouDVqxY4bLd/PnzzdeZi6Gt2rlzp+bMmSMp/fFToaGhWZZXrFhR5cqVkyStX78+x4l05iKJOnXq5HosAArHpk2bzDu0NG7cOE8x3OUS6X95TZK+++47l7G+++47sxi8bdu2eRoPUJTEx8ere/fu+v333yVJr732ml566SVb+yhbtqw6duwoSVq+fLmOHTvmtN38+fPNu9A7O0exwl0+mTZtmgzDyPHnzTffNNuvXLnS/P21X0gD8D+eyCXOZJw3FStWLFeP0HVn2bJlWrdunSRp4MCBKl++fJ7ipKWl6dtvvzX/nde5EoD/yVxomNtjyt0cwDAM1apVS1L6F04zfpdxx/rcsHKOA8B+19t8P+Ma6I4dOxQXF+ey3Y4dO8yn8eT1uumoUaPM1wX9xRXgeuepXJL5eF6zZk2ObTNumONwOLL1UVC5JON8S5IiIyPdtgeQNwcPHtTPP/8sSbrpppsK7GYPEydONF+3a9cu23JPzkvmzJmjCxcuuBwLgMJDUWQR1LJlS/ND9SlTpmj9+vXZ2owfP968pfDw4cOzfctu1apVcjgccjgcevTRR532M2LECPn7+0uShg0bpoSEhCzLExISNGzYMEnpVfcjRoxwGuf555+XJJ07d04vvvhituUHDhzQ6NGjJUn16tVz+oFjcHCwBg4cKElaunSp5s2bl63N3LlzzcdUPfzwwy4fsQ3gfzyZT0qUKCFJeu6558wCg8y++uor88J+9+7dVaNGjWxtMt+B4VpHjx5V7969lZKSouLFi+uTTz7J1sbPz0/du3eXJJ04cULvvvuu01jnz5/P8qFpjx49XPYLwB7Tpk0zc0lUVFS25Rs3bjQLG1w5fvx4lgtiru7QlN9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" ] @@ -299,7 +371,7 @@ }, { "data": { - "image/png": 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\n", 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" ] @@ -333,7 +425,7 @@ }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ "
" ] @@ -353,9 +445,12 @@ " m=40*5\n", " else:\n", " m=40\n", - " E, x0, job, ji = qaoa.getElandscape(backend,mu,ng=m)\n", + " E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,ng=m)\n", " out, job_b, xb = qaoa.getlocalmin(x0, backend, mu)\n", - "\n", + " # plot landscape\n", + " _=getfig(Ecost,ng=m)\n", + " # plot landscape\n", + " _=getfig(Eexco,ng=m)\n", " # plot landscape\n", " _=getfig(E,ng=m)\n", " pl.plot(x0[0],x0[1],'ro')\n", @@ -376,7 +471,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "id": "4ac72a43", "metadata": { "scrolled": false @@ -388,48 +483,38 @@ "text": [ "mu= 0.1 useExco= True\n", "Optimization terminated successfully.\n", - " Current function value: 0.550011\n", - " Iterations: 12\n", - " Function evaluations: 21\n", + " Current function value: 0.106496\n", + " Iterations: 11\n", + " Function evaluations: 22\n", "mu= 0.2 useExco= True\n", "Optimization terminated successfully.\n", - " Current function value: 0.550022\n", - " Iterations: 12\n", - " Function evaluations: 21\n", + " Current function value: 0.208065\n", + " Iterations: 13\n", + " Function evaluations: 26\n", "mu= 1 useExco= True\n", "Optimization terminated successfully.\n", - " Current function value: 0.550109\n", - " Iterations: 12\n", - " Function evaluations: 21\n", + " Current function value: 0.529288\n", + " Iterations: 9\n", + " Function evaluations: 19\n", "mu= 10 useExco= True\n", "Optimization terminated successfully.\n", - " Current function value: 0.550859\n", - " Iterations: 10\n", - " Function evaluations: 21\n", + " Current function value: 0.887021\n", + " Iterations: 14\n", + " Function evaluations: 25\n", "mu= 0.1 useExco= False\n", "Optimization terminated successfully.\n", - " Current function value: 0.127283\n", + " Current function value: 0.061807\n", " Iterations: 11\n", - " Function evaluations: 22\n", - "mu= 0.2 useExco= False\n", - "Optimization terminated successfully.\n", - " Current function value: 0.181757\n", - " Iterations: 9\n", - " Function evaluations: 19\n", - "mu= 1 useExco= False\n", - "Optimization terminated successfully.\n", - " Current function value: 0.615001\n", - " Iterations: 12\n", - " Function evaluations: 24\n", - "mu= 10 useExco= False\n" + " Function evaluations: 23\n", + "mu= 0.2 useExco= False\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/tmp/ipykernel_17452/3425082626.py:23: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", - " pl.figure()\n" + "/home/franzf/tmp/OQC/optimization/newbeginning.py:251: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", + " fig=pl.figure(figsize=(20,10), dpi=200, facecolor='w', edgecolor='k');\n" ] }, { @@ -437,14 +522,24 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 5.457587\n", + " Current function value: 0.116218\n", + " Iterations: 10\n", + " Function evaluations: 21\n", + "mu= 1 useExco= False\n", + "Optimization terminated successfully.\n", + " Current function value: 0.549216\n", + " Iterations: 11\n", + " Function evaluations: 23\n", + "mu= 10 useExco= False\n", + "Optimization terminated successfully.\n", + " Current function value: 5.391501\n", " Iterations: 10\n", " Function evaluations: 21\n" ] }, { "data": { - "image/png": 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" ] @@ -534,7 +635,7 @@ }, { "data": { - "image/png": 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" ] @@ -568,7 +689,7 @@ }, { "data": { - "image/png": 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" ] @@ -602,7 +743,7 @@ }, { "data": { - "image/png": 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KXDL3ncLuvPPOOtvsvvvuDR6fVCKXFLXxxhuXktlX0X3rrbcWKAY0N5X4zrcxc1/xckFVKpfMfcVL51aBuii8bIb+9a9/lTcOhx56aJ1tZs2aVVpnnXXKXxQ2VAhQn//5n/8p9/PEE0/U2eaJJ55osKiyVCqVx7HccsuVPvvsszrbnHnmmQ0WVb7//vulFi1alJKUdthhh3rHvMMOO5Q3rO+//36BWULzVq18MmzYsEa/KGzMzjvvXI7xyiuv1Ntun332KSUpLbXUUqWPPvpovvU//vGPy3Fuv/32euMMGjSo3O65555boDFDc7U4v5y7/vrry33/8Y9/nG99pXLJrFmzSmuttVYpSWmDDTZQoA1Vcscdd5Q/w0cdddQCx9lxxx3LPzwZM2ZMnW3mzie/+c1v5ltfqXzyRW+99VZpmWWWKSUpPfzww/OcqHRyECqjUrmkMRdddFG5n9NOO63ONnO+2Gzfvn1p0qRJ9cbafPPNS0lKXbt2LVQQVpfPP/+8nF822mijBYoBzGvttdcuJbNvOV4J5557bilJae211y5Nnz69UOHlotonKZUUXsKiUM39/aYWXl5wwQXl9r///e/rbdfQ+dW5iyT22WefemO88sor5XbHHXdc4TkBsy2KXPLxxx+XY3zjG9+ot92zzz5bbrf77rvPt74SuaSIl156qfz4AQMGNPnx0Fx9WQovK5VLFF4CjXHPwmbo1ltvLS8feOCBdbZp0aJF9t9//yTJpEmT8tBDDzWpj1KplNtuuy1J0qdPn2yyySZ1tttkk02y9tprJ0luu+22eW5nkSSvvPJKXnzxxSTJ9773vbRr167OOAcccEB5+ZZbbplv/e23357a2tok9c957ji1tbW5/fbb620HzFaNfJIkf/zjH5MknTp1ypFHHtn0gSZ56qmnkiS9evXKWmutVW+7b33rW0lm31K8rjwwY8aM8vIaa6xRb5w111yzzscAS7YOHTqUl6dNmzbf+krlkr///e959dVXkyQnnXRSWrVqtVDjBooZMGBAebmpt8yb45NPPsmDDz6YZPYtfVdZZZU62+2+++7p2LFjkrqPUSqVT77oiCOOyKeffprBgwdnq622arQ90HSVyCVFXH311Ulm3wZ8zjHV3KZOnZp///vfSZJNN900nTp1qjfWnFzywQcflG+z1VStWrUq36a8rv0koOnmHH9U4jP11ltv5ZRTTkmSXHTRRWndunWhxy2qfRJg0ViS9/crcd50Tk5Kkh133LHeGGuttVY5zt/+9rcmjxWau0WRSyr13Um1voOZc7yVuM04fBX5PheoFoWXzdCjjz6aJGnfvn369etXb7u5d7Qfe+yxJvXxxhtv5L333psvTkP9vPvuu3nzzTfrHGtjcbp165bevXvXO9aicRZmztAcVSOfzJgxo1zIPXDgwPIXfbNmzcqYMWPy5ptvFvqC4qOPPkqSrLjiig22m3v9P//5z/nWzykWT5L//Oc/9caZ8wVsTU1Ng19cAEuWoUOHlpf79Okz3/pK5ZIbb7wxyewc8e1vf7v89wkTJuTVV1/NhAkTmjZwoJDp06eXl1u2bLlAMZ588snySbiGji1at25d/gHak08+mc8//3ye9ZXKJ3P761//mjvvvDPLLbdczjnnnAbbAguuErmkMa+//noef/zxJMmWW26Z1VZbbb42c+8vVDKX1OfBBx/M+PHjk9S9nwQ0zcsvv5xnnnkmSWU+U4cffng+++yz7Lffftl6660LP25R7JMAi8aSvr/f1POmX3xM8t+clBTPS2+++WbefvvtJo0VmrNFlUu6dOmS5ZZbLsmC54Av/m1h4jSkVCrlL3/5S5LZ32/tscceTXo8sOSrRi4BSBReNktzriDZq1evBq+uNPcJvzmPKeqFF16oM05T+1mQOGPGjMlnn31WZ5xOnTqlW7du9cbo3r17+ao0TZ0zNEfVyCfPPvtsubByvfXWy+TJk3PMMcekS5cuWXXVVbP66qunU6dOGThwYB5++OF64yyzzDJJko8//rjB/uZeP3cOmmPvvfcu54mzzz47s2bNmq/NqFGjctdddyVJfvCDH5TbA0ue2trajBs3Lv/4xz8yaNCg8gm3Pn36ZIcddpivfaVyyfDhw5Mkq622Wjp06JDrrrsu6623XpZffvn07t07yy+/fNZee+2cc8458xR3AAvnkUceKS+vs846CxRjQY5RZs6cWb7K7RyVyidzTJo0KUcffXSS2fsoXbp0aTAusOAqkUsaU+TqK3PySFK5XPJFn3zySV544YUMGTIkgwYNKv99Tr4BmmbKlCl59dVX87vf/S5bbbVVZs6cmSQ55phjFiru0KFDc/fdd2fZZZfNueee26THVnqfBFg0vgz7+zvssENWX331JMkFF1ww3/c0SfLOO+/kyiuvTJJsscUW+frXvz7P+mrs30BztqhzyWGHHZYkefrpp3PvvffW2eb0009PMvuK+gcffPB86yuRSxrz8MMPlwu2d99993lyD1DMjTfemK997Wtp165dOnTokLXWWiuDBw9eoDsfNmT77bdP165d07p163Tt2jVbb711zjrrrEycOLHBxy2KXPKzn/0sPXv2TJs2bbLssstmww03zI9//OO88sorCzY54CtB4WUzM23atPLVCeq7Jd4cyy67bNq3b59kdjFjU7zzzjvl5cb66dGjR3n5i/0sSJxSqTTP4+aO01iMueM0dc7Q3FQrn8x90qy2tjYbbbRRLrjggkyaNKn89xkzZuSBBx7INttsk7PPPrvOOHO+EH3xxRfz4Ycf1tvf3FdtqOuX0l26dMk111yTdu3a5bHHHkv//v1z9dVXZ/jw4XnggQdy2mmnZauttsqMGTPyjW98o8lfeADVsdpqq6WmpiYtW7ZMt27dsu222+bWW29NMvu2EzfffHOdBeWVyCW1tbV56aWXkszOKUcffXT22WefPP/88/O0e+WVV3LCCSdkm222mSfnAQumtrY2Z511Vvn/3/ve9xYoTqWOdSq1bzLHiSeemLFjx2bzzTfPD3/4wwbHBSy4SuWShsx99ZWll1463/3ud+ts16lTp3Tv3j3J7B91NHRLrKK5JEmGDBmSmpqa1NTUpGPHjll33XVz2mmn5ZNPPknLli3zxz/+MVtssUVTpwXN1pVXXln+TLVv3z69e/fOcccdl3HjxiVJTj755PzgBz9Y4PgTJ04sF26eddZZWWGFFZr0+ErvkwCLxpdhf79169a57rrr0qVLl7z++uvZYIMN8uc//zmPPfZYHn744Zx77rnp169fJk6cmDXWWCOXX375fDHm/lHL3D92+aIPPvigfG4lkZegqEWdS37605+Wf8z+ne98J8cff3zuueeePPnkk7nhhhuy9dZb56abbiofV9T1g9ZK5JLGzP1Dt/3333/BJwzN2AsvvJAXX3wxU6dOzaeffprXXnstV199dbbZZpsMGjSo0R9QFHX//ffnww8/zOeff54PP/wwjzzySH7yk59kjTXWKN8xsS6LIpc8/vjjefvttzNjxoxMmjQpzzzzTM4///yss846GTJkSEqlUkXmDHy5KLxsZj755JPycpFf78wplPr0008XWT9z+qirn0rHWZRzhuamWvlk7tvnnX322Xn11VfzrW99KyNGjMi0adPywQcf5MILL0ynTp1SKpVy8skn17mjveuuuyaZfYvyn//853X29eqrr+aKK64o/3/uOX4x1siRI3PwwQfnmWeeyeDBg7Pppptm4MCBGTJkSNq1a5fzzz8/w4YNa/SWOMCSo1WrVvnVr36VZ555pt6rV1Uil3z88cepra1NkowePTq///3v07179/zlL3/JhAkTMmXKlDzyyCPlWxQ//vjjOeiggxZ6ftDcnXfeeRkxYkSS2Vcz6Nev3wLFqdQxSiX3TYYNG5ZLL700rVq1ykUXXZSampqGJwEssErlkoY8+uij5dtgDRo0KB06dKi37ZxcMn78+Hp/9PXoo4+Wr8if1J9LGrPtttvm+eefzxFHHLFAjwfm1bdv34wYMSJnnnnmQm27TzjhhIwbNy6bbrppDjnkkCY/vpL7JMCi8WXa399kk00yatSoHH/88Xn77bdz2GGHZYsttsiAAQNy/PHHZ8qUKTn99NPz5JNPZq211prv8VtssUWWXXbZJMkVV1wx350D5vjFL34xz52I5CVoXDVySfv27XPnnXfmsssuyyqrrJJzzz03O+20UzbeeON8//vfzyOPPJLdd989TzzxRA499NB64yxsLmnIlClT8re//S3J7B/UbrPNNgs1Z2hu2rVrl+9///u55JJLMmzYsIwaNSp///vf87Of/SzLL798kuTWW2/Nbrvtls8//3yB+1lvvfXyi1/8InfccUdGjhyZ4cOH56qrrsr222+fZPYVfPfYY4/cc8899caoVC7p3r17jjjiiFx//fX517/+lZEjR+aWW27JD3/4wyy11FKpra3Naaedlp/97GcLPF/gS6xEs/L222+XkpSSlPbbb79G2/fo0aOUpLTmmms2qZ9f/vKX5X4efPDBBts++OCD5bann376POu22Wab8rpZs2Y1GOcXv/hFue2wYcPmWdeiRYtSktKWW27Z6Ni33HLLUpJSy5YtG20LzVm18snpp59e7idJaeDAgaWZM2fO127YsGHlz/o666xTqq2tnWf9pEmTSiuvvHI5zr777lt69tlnS9OnTy+NHz++dPXVV5e6detWqqmpKS211FIN5oHp06eXfvKTn5RWWGGFecY297+NNtqodNtttzVprsBsb7zxRvmzNHjw4EXSx8svv1waPXp06dlnny394x//KJ1++umllVZaqdS6devSfvvtV/rkk0/qfFwlcsmYMWPmyRft2rUrvfTSS/P1NWXKlNIGG2xQbjd8+PBF8lxAc/Dwww+XWrVqVUpS6tq1a2ncuHELHOuggw4qfy5ff/31Bttedtll5bbXXHPNPOsqtW8yffr0Up8+fUpJSieccMJ860899dRyHw899NACzxuobC5pyCGHHFL+3N57770Ntv3Pf/5T6tChQylJqaampnTMMceUXnnlldKMGTNK77//fumPf/xjqUOHDqXWrVuXYzZ2TDZu3LjS6NGjS6NHjy4NHz68dMUVV5QGDBhQSlJaf/317ZNAE02cOLH8mRoxYkTp+uuvLw0aNKj8ebzjjjsWOPYjjzxSqqmpKbVq1ar07LPPzre+Z8+epSSlnj171hujkudLvqgax3bwVbc49/cHDx5cjv3GG28UekxtbW3pt7/9bWnVVVet97xpnz59Spdddlm9Mc4555xy2+7du5euvvrq0vjx40vTp08vPfvss6V99tmnlGSe/ZsvfrcEzKuaueSxxx4rDRgwoFRTU1NnDujQoUPp0EMPLU2aNKneGJXIJfW59tpryzFOPvnkhZkqNEsTJ06sd93YsWNLG264YfkzdsEFF1S8j1KpVLrooovKfay00kqlqVOn1tmuErnk008/Lc2YMaPe9f/6179KnTp1Kp+XeeaZZwrNEfjqUHjZzHzwwQfljchee+3VaPuuXbuWkpS+/vWvN6mf3/zmN+V+7rnnngbb3n333eW255xzzjzrdtppp/K6+jaYc5x44onltk899dQ869q1a1dKUvrmN7/Z6Ng33njjUpLSMsss02hbaM6qlU9++9vfzrMD/PTTT9fbds899yy3q+sLh6eeeqo8jvr+nXnmmeWCys6dO88X49NPP52nQPvEE08svfjii6Xp06eXPv7449Lf//730hZbbFHewT733HObNF9g8X05N2HChFL//v3LRQX1FV8ubC758MMP52n7v//7v/WO6c477yy3+/GPf1zR+UJz8fzzz5eWXXbZUpJS27ZtS4888shCxTv88MPLn8sXX3yxwbb/93//V2570003zbe+Evsmc74cWXXVVUuffvppvesVXsLCqXQuqc/UqVNLnTt3Ln95UNePzr7o7rvvLi2zzDL15pGWLVuWLr744vL/+/btu0Bj+9WvflWe/3333bdAMYD/uvrqq0s1NTWlFi1alK644oomP37atGmltddeu5SkdNxxx9XZpkjhZalUmX2Suii8hIW3OPf3m1p4OWvWrNJ3v/vd8mN++MMflp5++unS1KlTS59++mnp0UcfLe26667l9UcffXSdcWpra0sHH3xwgzlp9dVXL/385z8v///888+v6Nzhq6ZaueTGG28stWnTpnx+9ZZbbil99NFHpRkzZpRef/310q9//evS0ksvXUpmX0Dj3XffnS9GpXJJfXbYYYfC53WApnv99dfLP9jq1avXIuvnhz/8Yfmz/Je//GW+9Ys6l8ztmmuuKcc5+OCDF2JWwJeRW403M3PfnqrI7X4/++yzJMVuI7yg/czpo65+Kh1nUc4ZmpvFkU9WWGGFbLjhhvW23WGHHcrLTz755Hzr+/Xrl2eeeSZHHnnkfLcA79+/f+68886cfPLJ5VvTzLmtzdyGDBmSYcOGJUkuu+yynH322enTp09at26djh07ZuDAgXnooYcyYMCAlEqlnHDCCXn22WebNGdg8Vh22WVz1VVXJUmee+65/PrXv66z3cLmki/eLnTOrTHqsu2226ZVq1ZJ6s5rQMPeeOONbL/99pk4cWJatmyZoUOH5v/9v/+3UDErdYySLHw+eemll3LmmWcmSf7whz/Mc2tzoHIWRS6pz+23355JkyYlSfbZZ5+0bNmy0cfsuOOOefrpp7P//vunc+fO5b/X1NRkwIABGTZsWPlWwkndxzlF/OxnP8vGG2+cadOm5ZBDDsnMmTMXKA4w23777Zfvfve7qa2tzZFHHpkJEyY06fFnnHFGXn755fTo0SOnnXbaQo2lEudLgMr7su3vX3jhhbnxxhuTzD6Heumll2bDDTdM27Zt0759+2y++ea57bbbst9++yVJLrjggtxxxx3zxampqckll1ySG2+8MZttttk8+0OdOnXKEUcckaeffnqeYyx5CepXrVwybty4HHDAAZk+fXrWXXfdPP744/nOd76T5ZZbLksttVTWWGON/OQnP8kdd9yRmpqavPjiiznqqKPmi1OpXFKX999/Pw888ECS2fs4ffr0qdDsgTnWWGONDBw4MEny2muv5b333lsk/Rx66KHl5UceeWS+9Ysyl3zR97///XTs2LHesQBfba0W9wCorrZt22b55ZfPRx99lHfeeafBthMnTix/UdijR48m9bPKKquUlxvrZ8yYMeXlL/bzxThdunRpNE5NTc08j5sTZ9y4cY2OZe44TZ0zNDfVyidzt//iZ7uhth9++GGdbbp3754//OEP+cMf/pCxY8dm8uTJWXHFFdOpU6cks3PNtGnTkiTrrrvuPI8tlUq5/PLLkyS9e/fO4MGD6+yjVatWOf3007PFFluktrY2V155Zc4777xGZgosCdZZZ52stdZaefXVV3PTTTfVW3y5MLmkTZs2WWGFFcp5qqG82LZt23Tp0iVjx46tN68BdXvvvfey3Xbb5b333ktNTU0uv/zy7Lbbbgsd94vHKBtttFG9bRs61pljYfLJeeedlxkzZmSNNdbIlClTMnTo0PniP//88+Xlf/zjHxk7dmySZJdddlniv7iFJcGiyiX1ufrqq8vL+++/f+HHrbXWWrnqqqtSW1ub999/P1OmTMlKK61U/pw/+uij5bZfzCVNsdtuu2XEiBF5++23M2LEiGy22WYLHAuY/Zn661//ms8++yz33ntvfvCDHxR+7Nlnn50k2W677er9gnDOuZjPPvusvJ/QtWvXbLPNNvO1XZh9EmDR+LLt71966aVJZv9Y7eSTT6633a9//etcc801SZLLL788u+yyS53t9txzz+y5556ZMmVKxo4dm1atWmXllVcuF2K++uqr5bbyEtSvWrlk6NCh5X2Pn/70p/U+btttt822226bBx54ILfeemsmTpw4T/F0pXPJ3K699trMmjUrSdOOt4Cm+drXvpa77747SfLuu+9mpZVWWiR9zPHuu+/Ot35R5pIvatWqVXr37p2nnnqqzrEAX20KL5uhr33taxk2bFhee+21zJw5s3wVpS966aWXysvrrLNOk/uoK05T+/linL59+zYap0ePHvPtzH/ta1/LyJEj8/HHH2fs2LHp1q1bnTHef//9TJ48uc6xAPOrRj6Z+6TZnAPi+sy9vr6xzK1bt27z5YORI0eWlzfeeON51o0bN658BYqGrryZzL5axByN5UFgybLCCivk1VdfzVtvvVWofVNzSTI7tz388MNJiue2InkNmG38+PEZOHBg/vOf/ySZfUWHSp1QX5BjnVatWmWttdZqNHZT88n06dOTJP/5z3+y9957Nxr/9NNPLy+/8cYbCi+hEYsyl9Tlgw8+yH333Zck+cY3vpGvf/3rTY7RokWLrLzyyvP9vbF9k6JWWGGF8vJbb72l8BIW0hc/U00xY8aMJMkVV1yRK664osG248ePL+8rbLXVVnUWXs5tQY5xgMr7su3vv/jii0lmHzO1adOm3narrLJKVlxxxYwbN67QedN27dpljTXWmO/vc/JS27Zts/766y/gqOGrr1q5ZE4OSGYfzzSkX79+eeCBB1JbW5tXXnkl3/zmN+eLU+lckqRcXNW6detCzwWwYGpqahZ7H4sylyzIeICvLrcab4a22GKLJLN/6Tz3CbMvmvsyyJtvvnmT+lh99dXLv1xo7HLK//znP5MkK6+8clZbbbU6x9pYnLFjx+aVV16pd6xF4yzMnKE5qkY+6dmzZ1ZdddUkyZtvvplSqVRv29dff728XNeXjUXMuex8kuy1117zrJu76Kmx2+p9/vnndT4OWPLN+UViXbcFLqqhXJJkntuTzinmqMvkyZMzfvz4JAue16C5+fjjj7PDDjvkhRdeSJKcddZZOeKIIyoWv3///mndunWSho8tZsyYkeHDh5cfs9RSSy1Qf43lE2DRWNS5pC7XXXdd+Tij0gWec3LJ0ksvvUBXb5hj7is3LMy+EjDbl+kzZZ8EaMycc6CNnTdN/nvudEHPm7722mt55plnkiSDBg1a4OMtoHIq9f3JosolzzzzTJ577rkkyU477ZTll1++0ccAC2bOuZQki+Rql0X6qOZ+ycyZM8u1KotqvsCSS+FlM/Sd73ynvFzfr6Fra2vLt7fq3LlzBgwY0KQ+ampqyrfeeumll8pfOH7R8OHDy78c2G233eb7JUDv3r3LV8f761//milTptQZ58orrywvDxo0aL71u+66a1q0mP12b+gX4HPitGjRIrvuumu97YDZqpFPkmSPPfZIMrsA6cEHH6y33c0331xenrvguqgXXnghN9xwQ5LZt+rq3bv3POuXW265dOzYMUnyxBNPNLizPnchxuqrr97ksQCLx5NPPlm+0sx66623QDEayyXJf/Naktxyyy31xrrlllvKBedbbrnlAo0HmpMpU6Zk5513ztNPP50k+dnPfpaTTjqpon106NAh2267bZLkgQceyDvvvFNnu5tvvrl8Nf26jlGKaCyfXHnllSmVSg3+O/XUU8vtH3roofLfv/ijN+C/qpFL6jLnuGmppZZq0u2GG/P3v/89jz32WJJkn332SefOnRcoTm1tbf72t7+V/7+g+0rAf81dzNjUz1Rj+wClUik9e/ZMMvtHrXP+NufK+01R5BgHqLwv2/7+nHOgzz//fCZNmlRvu+eff758V6EFPW96yimnlJcX9Y9j4MuuWrlk7s/zsGHDGmw756I8NTU18/WxqHLJnOOtJBk8eHCj7YEF88Ybb+T+++9Pkqy55pqL7IISf/7zn8vLW2211Xzrq7lfcsMNN+Tjjz+udyzAV5vCy2Zo4403Ln9xf9lll+WJJ56Yr825555bvvzy0UcfPd+vBR9++OHU1NSkpqYmBxxwQJ39HHPMMWnZsmWS5KijjsrUqVPnWT916tQcddRRSWb/euCYY46pM87xxx+fJJkwYUJOPPHE+da//vrrOfPMM5MkvXr1qvNLzW7dumWfffZ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sr0Ssqa2tzUsvvZRkfsw57rjj8t3vfjfPP/98SblXXnklJ598cnbccceSmAhUXm1tbc4999zi/7/1rW+1qJ533323uNzU+VPv3r2Ly58/f6rUeU2dn/zkJ/nggw+yzTbb5Pvf/36j/QIWj0rFmcYsOOvNiiuumG9+85v1luvSpUt69uyZZP6PXhp7pFq5cSZJhg0blpqamtTU1KRz58758pe/nDPPPDOffPJJWrdunT/84Q/ZdtttmzssoAFXXXVVcZ/r2LFj+vbtmxNPPDETJkxIkpx66qn5zne+0+L6p0yZUkxQPffcc7Pqqqs2a/tKn88A1fdFuI5o27Ztrr/++nTv3j2vv/56Ntlkk/z5z3/Oo48+mocffjjnn39+Bg4cmClTpmTdddfNFVdcsVAdC/7wZ8EfBH3exIkTi/dzEjELKmFxx5mf/vSnxUkEvvGNb+Skk07KvffemyeffDI33nhjdthhh9x8883F65X6fixciTjTlAV/KHjIIYe0fMBAg1544YW8+OKLmTFjRj799NO89tprueaaa7Ljjjtmn332afJHJuW6//778+GHH2bOnDn58MMP88gjj+S0007LuuuuW3yiZ30WR6x57LHH8s4772T27NmZOnVqnnnmmVx44YXZcMMNM2zYsBQKhYqMGVg2SDAFoEU++eST4nI5v5asSzD99NNPm9XOgo9nHD58eF599dV87Wtfy+jRozNz5sxMnDgxF198cbp06ZJCoZBTTz213hPwvfbaK0kyb968/PznP6+3rVdffTVXXnll8f8LjvHzdY0ZMyaHH354nnnmmQwdOjRbbbVVhgwZkmHDhqVDhw658MILM3LkyCYfmwR8cbRp0ya/+tWv8swzzzQ4q1glYs3HH3+c2traJMm4cePyu9/9Lj179sxf//rXTJ48OdOnT88jjzxSfHz2Y489lu9973uLPD6gYRdccEFGjx6dZP5MEQMHDmxRPc05f6o7d0oWPn+q5HnNyJEjc9lll6VNmza55JJLUlNT0/gggMWiUnGmMaNGjSo+Rm2fffZJp06dGixbF2cmTZrU4I/mRo0aVXxyQ9JwnGnKTjvtlOeffz5HH310i7YHmmfAgAEZPXp0zjnnnEU67p988smZMGFCttpqq/zgBz9o9vaVPJ8Bqu+LdB2x5ZZbZuzYsTnppJPyzjvv5Mgjj8y2226bwYMH56STTsr06dNz1lln5cknn8wGG2yw0PbbbrttunXrliS58sorF3rCRJ1f/OIXJU+7ErNg0VQjznTs2DF33XVXLr/88qy55po5//zzs/vuu2eLLbbIgQcemEceeST77rtvHn/88RxxxBEN1rOocaYx06dPz9/+9rck83+svOOOOy7SmIFSHTp0yIEHHpi//OUvGTlyZMaOHZt//OMf+dnPfpZVVlklSXLbbbdl7733zpw5c1rczkYbbZRf/OIXufPOOzNmzJg88cQTufrqq7PLLrskmT9j83777Zd77723wToqFWt69uyZo48+OjfccEP+93//N2PGjMmtt96a73//+1lhhRVSW1ubM888Mz/72c9aPF5gGVQAgBZ45513CkkKSQoHH3xwk+V79+5dSFJYb731mtXOWWedVWwnSWHIkCGFuXPnLlRu5MiRhVatWhWSFDbccMNCbW1tyfqpU6cW1lhjjWI9Bx10UOHZZ58tzJo1qzBp0qTCNddcU1h99dULNTU1hRVWWKGQpNC6det6+zRr1qzCaaedVlh11VVL+rbgv80337xw++23N2usQHnefPPN4r42dOjQxdLGyy+/XBg3blzh2WefLfzzn/8snHXWWYVevXoV2rZtWzj44IMLn3zySb3bVSLWjB8/viSedOjQofDSSy8t1Nb06dMLm2yySbHcE088sVheC1jePfzww4U2bdoUkhR69OhRmDBhQovr+t73vlfcZ19//fVGy15++eXFstdee23Jukqd18yaNavQv3//QpLCySefvND6M844o9jGQw891OJxA42rZJxpzA9+8IPiPv33v/+90bJvvPFGoVOnToUkhZqamsLxxx9feOWVVwqzZ88u/Oc//yn84Q9/KHTq1KnQtm3bYp1NXetNmDChMG7cuMK4ceMKTzzxROHKK68sDB48uJCksPHGGzuXgQqbMmVKcZ8bPXp04YYbbijss88+xf31zjvvbHHdjzzySKGmpqbQpk2bwrPPPrvQ+j59+hSSFPr06dNgHZW8T/N51bhmhOXZkryOGDp0aLHuN998s6xtamtrC+edd15hrbXWavBebv/+/QuXX355g3X85je/KZbt2bNn4ZprrilMmjSpMGvWrMKzzz5b+O53v1tIUnJudNZZZ1Vo1LD8qWacefTRRwuDBw8u1NTU1BsfOnXqVDjiiCMKU6dObbCOSsSZhlx33XXFOk499dRFGSpQjylTpjS47oMPPihsuummxX3woosuqngbhUKhcMkllxTb6NWrV2HGjBn1lqtErPn0008Ls2fPbnD9//7v/xa6dOlSvB/0zDPPlDVGYNknwRSAFpk4cWLxZPWAAw5osnyPHj0KSQpf+cpXmtXOeeedV3Ji/PTTTzdYdv/99y+Wq+8LjqeeeqrYj4b+nXPOOcXE0a5duy5Ux6efflrYbrvtil9s/OQnPym8+OKLhVmzZhU+/vjjwj/+8Y/CtttuWzzxPv/885s1XqBpS+rLwsmTJxcGDRpUTIJoKMl0UWPNhx9+WFL2v/7rvxrs01133VUs9+Mf/7ii4wUKheeff77QrVu3QpJC+/btC4888sgi1XfUUUcV99kXX3yx0bJ/+tOfimVvvvnmhdZX4rym7guZtdZaq/Dpp582uF6CKSw+lY4zDZkxY0aha9euxS8r6vvR3ufdc889hZVWWqnBGNO6devCpZdeWvz/gAEDWtS3X/3qV8Xx33fffS2qAyjfNddcU6ipqSm0atWqcOWVVzZ7+5kzZxb69etXSFI48cQT6y1TToJpoVCZ85n6SDCFxWtJXkc0N8F03rx5hW9+85vFbb7//e8Xnn766cKMGTMKn376aWHUqFGFvfbaq7j+uOOOq7ee2trawuGHH95ovFpnnXUKP//5z4v/v/DCCys6dlieVCvO3HTTTYV27doV7/feeuuthY8++qgwe/bswuuvv1749a9/XVhxxRULyfyJTd57772F6qhUnGnIrrvuWva9JKDyXn/99eIP3tZff/3F1s73v//94r7+17/+daH1izvWLOjaa68t1nP44YcvwqiAZUmrAEALLPg4xXIee//ZZ58lafpxsI21s+qqq2bTTTdtsOyuu+5aXH7yyScXWj9w4MA888wzOeaYYxZ6dP2gQYNy11135dRTTy0+vqju0UcLGjZsWEaOHJkkufzyyzN8+PD0798/bdu2TefOnTNkyJA89NBDGTx4cAqFQk4++eQ8++yzzRozsHTq1q1brr766iTJc889l1//+tf1llvUWPP5x9XWPSKlPjvttFPatGmTpP64B7Tcm2++mV122SVTpkxJ69atM2LEiPy///f/FqnO5pw/1Z07JfWfPy1qrHnppZdyzjnnJEl+//vfp2PHjs0bDLDIFkecacgdd9yRqVOnJkm++93vpnXr1k1us9tuu+Xpp5/OIYcckq5duxb/XlNTk8GDB2fkyJHFR1wn9V8/leNnP/tZtthii8ycOTM/+MEPMnfu3BbVA5Tn4IMPzje/+c3U1tbmmGOOyeTJk5u1/dlnn52XX345vXv3zplnnrlIfanEfRqgur5o1xEXX3xxbrrppiTz7+tedtll2XTTTdO+fft07Ngx22yzTW6//fYcfPDBSZKLLrood95550L11NTU5C9/+UtuuummbL311iXnUl26dMnRRx+dp59+uuTaTcyClqlWnJkwYUIOPfTQzJo1K1/+8pfz2GOP5Rvf+EZWXnnlrLDCCll33XVz2mmn5c4770xNTU1efPHFHHvssQvVU6k4U5///Oc/eeCBB5LMPzfq379/hUYPlGvdddfNkCFDkiSvvfZa3n///cXSzhFHHFFcfuSRRxZavzhjzecdeOCB6dy5c4N9AZZPbZZ0BwD4Ymrfvn1WWWWVfPTRR3n33XcbLTtlypRikkTv3r2b1c6C5ddcc82yy3744Yf1lunZs2d+//vf5/e//30++OCDTJs2Lauttlq6dOmSJHn33Xczc+bMJMmXv/zlkm0LhUKuuOKKJEnfvn0zdOjQetto06ZNzjrrrGy77bapra3NVVddlQsuuKCJkQJfBBtuuGE22GCDvPrqq7n55psbTDJdlFjTrl27rLrqqsU41ljcbN++fbp3754PPvigwbgHNN/777+fnXfeOe+//35qampyxRVXZO+9917kehc8l3n33Xez+eabN1h2/PjxxeWG4sCixJoLLrggs2fPzrrrrpvp06dnxIgRC9X//PPPF5f/+c9/5oMPPkiS7Lnnnkv9F8mwtFtccaYh11xzTXH5kEMOKXu7DTbYIFdffXVqa2vzn//8J9OnT0+vXr2KMWDUqFHFsp+PM82x9957Z/To0XnnnXcyevTobL311i2uC2ja3nvvnf/5n//JZ599lr///e/5zne+U/a2w4cPT5LsvPPODX5hWXcP6LPPPiueY/To0SM77rjjQmUX5XwGqL4v2nXEZZddlmT+j/1OPfXUBsv9+te/zrXXXpskueKKK7LnnnvWW27//ffP/vvvn+nTp+eDDz5ImzZtssYaaxQTTl999dViWTELWqZacWbEiBHFc5af/vSnDW630047ZaeddsoDDzyQ2267LVOmTClJIK90nFnQddddl3nz5iVp3nUcUFlf+tKXcs899yRJ3nvvvfTq1WuxtFHnvffeW2j94ow1n9emTZv07ds3Tz31VL19AZZPEkwBaLEvfelLGTlyZF577bXMnTu3OIve57300kvF5Q033LBZbSx4I67uQrohC65vqC8LWn311bP66quX/G3MmDHF5S222KJk3YQJE4ozezQ2k2o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" ] @@ -636,7 +797,7 @@ }, { "data": { - "image/png": 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" ] @@ -670,7 +851,7 @@ }, { "data": { - "image/png": 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v2ThDhgxpsH018sydd97Z4PEXX3xxdScJ1OvRRx9d5P7FHXfc0eT+Ro4c2eD5/eKLL1bUz7vvvlvssMMOjebGAw44oMHrsBtvvLHo2rVrg5/jTjzxxCbPF2hctfNMURTF7373u0bvvfbr16947LHH6u2jGnlmcT/HDRgwYInmDcxX6TnX2Gebhpx00kkVj9NQTqtGrlmc+0YnnXRSk+cMfPK0CQAsgcceeyxf/vKX8+GHH6ZLly758Y9/nKFDh+ajjz7K1Vdfnb/+9a955plnMmzYsIwfPz5dunRp0jjvvfdedtlllzz88MNJkmHDhuXAAw/MOuusk3nz5uXll1/O+PHjM3r06DqP/+ijjzJs2LA88sgjSZKdd945Rx55ZNZaa628/fbbGT16dC644II89NBD2X333XPvvfemffv2i/Tz4osvZs899yytyrrXXntl+PDhWWONNfL666/nhhtuyCWXXJIPP/www4cPz5prrpmtt966SXMGFtW3b98MHDgwt912W9X7bt++fYYMGZJtttkmAwcOzGqrrZYePXrkrbfeymOPPZbzzjsvL774Yq699tq0atUqV1999SJ9VCvXLPDNb34zF1xwQZJk0003zWGHHZZNN900HTt2zKuvvpqnnnoqo0eP9o11WEKTJk1KkvTu3Tv7779/tt9++6yxxhqZN29eHnjggZxxxhmZNGlSLrvsssydOzdXXnnlEo132GGH5aabbkqSDB06NN/73vfSu3fvPPHEEzn11FMzceLE/PznP0+vXr1y+OGHL3J8tXPNx1+LE088MTU1NenRo0emTp26RHMF5muuPDN48OA88cQTjbb7zne+k7vuuitJMmLEiEX2VyvPtGrVKptuumm22267DBo0KL169cqqq66a6dOnZ+LEibn44otz//3354knnsguu+ySxx9/PJ06dWrS3IH5+vbtm6FDh2bzzTdP375906tXr9TW1ua1117L6NGjc/3112fq1KnZc889M378+GyyySZVGXfMmDG57rrr0rNnz0yZMqXR9tXKM0VRlLZbtWpVerLOuHHjqjIvoDK1tbX5xje+kblz51acBxqz8PndoUOHDBo0KG+99VYmTpy4WP0cdNBBpdXA1lprrRx//PHZeOONM2fOnDz88MM57bTTMnXq1FxzzTXp0aNH/vznPy/Sxz333JP99tsvc+bMSfv27XP00Udn2LBhWWGFFfL000/nzDPPzMMPP5xf/epX6d69e4499tglmjuwqKWRZ/72t7/luOOOS5K0a9cu3/72t7Pzzjtn5ZVXzsSJE3POOefk3nvvzcsvv5wvfOELmTBhQlZcccVF+qlGnqnkc9wll1yS3/3ud0nq/hwHNN1RRx2Vb33rW/Xu79y5c1XGaexcX2utterdV41cs7CLLroogwcPrnd/z549Gzwe+JRp6QpXAJZvC74p1aZNm+L+++9fZP9vf/vb0jedTj755CaPM3z48NI4V199db3tamtrizlz5izy76effnopjkMPPbSora1dpM1FF11UanPGGWfU2f93vvOdUpvjjz++zjZ//OMfS2322GOPCmcI1OfnP/95MWbMmNKqNS+++GLpHKvmCqZ15Y6Fffjhh8XWW29dGvvxxx9fpE21ck1RFMWFF15YanfMMccU8+bNq7dtNVZUhE+zYcOGFddcc00xd+7cOve/9dZbxYABA0rn5N13393ksRZeZWuPPfZYZMy33nqrWGONNYokRbdu3Ypp06Yt0kc1c83HfelLXyqSFF//+teLIUOGlPoAlkxz5pnGTJs2rWjfvn2RpFhnnXXqbFOtPNPY9VVRFMX3vve9Uj9//OMfF28yQJn6cszC/v73v5fOuX322acq406fPr3o27dvkaS49NJLK1rlp1p55tlnny1OP/304s477yymT59eFEVRXHzxxaXjrGAKzePMM88skhTrr79+8eMf/7iiVbgac+uttxbnnXde8fDDD5euKUaMGFHqu5IVTB966KFS+/79+xfvv//+Im1efvnlYqWVViqS+auQTpkypWx/bW1tsfHGGxdJitatWxdjx45dpI9Zs2YVu+yyS5Gk6NixY/Haa681bdJAvZZGntloo41K/dx00011ttlnn30avB6pRp6p1JZbblkkKWpqaoqXX365SX0A5Racv0tztc6FVzBtqmrlmoVXMF3SFaCBTxe/JQKgycaNG1e6CD3iiCPqbDNv3rxi4MCBpSKJ2bNnL/Y499xzT2mckSNHNinWBTcKOnfuXLz77rv1tlvwiOxVV121zmKuzTbbrPQB/r333quzj9ra2qJ79+5FkqJHjx5Niheo39IqMK3E1VdfXRr7T3/60yL7q5Vr3n///aJbt25FkmKHHXao6hyAphkzZkzp/P/ud7/b5H6++MUvln4x+eqrr9bZ5qqrriqN9bvf/W6R/dXKNR933XXXFcn8x+ZOnTpVgSk0s2rlmcacd955jX4JcGnlmbpMnjy5FM9+++3XpD6AxbP++uuX/s+vhqOPPrpIUgwdOrQoiv//S9qGCkyXZp5RYArN65VXXim6dOlSKlRYuIii2oULi1tgetZZZ1X0RZbvf//7pXZjxowp27dwQcdXv/rVevt49tlnS+2OO+64iucENG5p5Jn33nuv1MdnPvOZets99thjpXb77rvvIvurkWcq8fTTT5eOX3DNBSy55aXAtFq5RoEp0FStAgBNdMMNN5S2Dz300DrbtGrVKgcffHCSZNq0aaWl+xfHn/70pyRJly5d8oMf/GCxj//oo4/y5JNPJkm23nrrOh9hssAXvvCFJMmbb76Ze+65Z5H9s2fPTpL06NEjXbt2rbOPmpqa9O/fP0kya9asxY4XWHYt/BiUmTNnlu2rZq654oorMm3atCTJyJEjlzRsoAp22GGH0vbiPpJxgRkzZuT2229Pkuyyyy7p06dPne322Wef0nXG9ddfX7avmrlmYe+//36++93vJklOP/309OjRo4IZAdVUjTxTiUsvvTTJ/M8tw4cPX2T/0soz9Wno+gpYOhacd9U458aNG5c///nPadeuXc4999yKjmnuPAMsXd/61rcyY8aMjBgxoux6Zlmw4F5uktL92rqsvfbape2P388dP358aXu33Xart49111231M/o0aMXO1agfksjz1QjP1Szn8Ys+ByXJCNGjFjs44HlW3PlGoD6KDAFoMkW3Njv3LlzNt9883rbDRkypLR97733LtYYs2fPzo033phk/g28Ll26JEnmzp2bl19+Oa+88krZRXVdFhRpJcmqq67aYNuF9991112L7B8wYECS5O233877779fbz8vvPBCWXvgk+Gqq64qba+//vpl+6qZa6699tokSc+ePUs5tCiKTJ48ORMnTsyMGTMWP3hgiSx8vdGqVdM+So8bN650Y2/h66OPa9euXbbaaqvSMXPmzCntq2auWdiPfvSjTJo0KZ/73OdyyCGHNNgWWDqqkWcaM3HixNx///1Jku233z5rrbXWIm2WVp6pT0PXV0D1TZgwIY8++miSJT/n5s6dm29+85upra3NCSeckPXWW6+i45o7zwBLz9/+9rfcdNNN6d69e04//fSWDmcRC9+bXXC/ti4Lf7nn4/dz33nnndJ2pTnrpZdeyiuvvLJYsQJ1W1p5ZuWVV0737t2TND0/fPzflqSfhhRFkSuuuCLJ/N/H7bvvvot1PLD8a45cA9AQBaYANNmECROSJOuss07atGlTb7uFf2Gx4JhKPfbYY6UVNbbeeutMnjw5hx56aFZaaaWsueaa6devX1ZcccV88YtfLP2i9OMWXhHnvffea3C8hfc/9dRTi+w/4ogjksz/QH/qqafW2cef//zn0o3HBe2B5VNtbW3efPPN/Pvf/87ee++dK6+8Mkmy3nrrZddddy1rW61cU1tbW1odY6uttsrs2bNz8sknZ/XVV0+vXr2yzjrrpGvXrtliiy1y2WWXpSiKJZojUJmFCxqaWoyx8HVQY30s2D937tw899xzpX+v5nXNAg888ED+8pe/pG3bthWvPAZUXzXyTGMqWfVmaeSZj5s2bVoeeeSRHHvssfn2t7+dZH5x/ZFHHllxH0DlPvzwwzz33HP5/e9/n6FDh2bevHlJku9973tL1O/vfve7PPbYY1l77bXzk5/8pOLjmiPPAEvfu+++W8ojp512WlZZZZUWjmhRu+66a9Zcc80kyVlnnZUPPvhgkTavvfZaRo0alWT+/eeNN964bL+cBS1naeeZb37zm0mS//73v7nlllvqbPPLX/4ySdK6descfvjhi+yvRp5pzJ133pmXX345yfyn3ixYiAWonmuvvTbrrbdeOnbsmBVWWCHrrrtuRowYkTvuuKOq4+yyyy7p0aNH2rVrl549e2aHHXbIb37zm7Iv4dVlaeSan/zkJ+nTp0/atWuXbt26ZbPNNsv3v//9PPvss02aG/DJpsAUgCaZOXNmpk6dmiT1Pt51gW7dupVuxL366quLNc7CN+JmzpyZjTfeOKNGjSq7cJ45c2ZuueWWbL/99vnDH/6wSB8rrrhievXqlSR58MEHG1zx9O677y5t1/Ut81133TUnnHBCkvk3NPbdd99cf/31eeihhzJmzJgcdthhpcfLfvWrX81hhx22WPMFlg1rrrlmampq0rp166y22mrZaaedcsMNNyRJ+vXrl+uuu26Rwvpq5ZpXX30106dPTzJ/BdPPfe5zGTlyZN54441Sm6Io8vDDD+fggw/OgQcemLlz5y7RfIGG1dbW5je/+U3p71/+8peb1M/C10GNXT/17du3zuOqeV2TJHPmzCmtPHbcccdlgw02aHgSwFJRrTzTmMsvvzxJ0rFjx+y33351tql2nlngkEMOSU1NTWpqatK9e/d85jOfyZlnnpk5c+akY8eOufzyy8se5QYsmVGjRpXOuc6dO2fAgAH5wQ9+kDfffDNJctxxx+WrX/1qk/t/4YUX8otf/CJJcs4556RDhw4VH7u08gzQvH74wx9m8uTJ2WabbZbZe6Dt27fPFVdcke7du2fixInZdNNN85e//CX33Xdf7rzzzpxxxhnZfPPNM23atKy55pq5+OKLF+lj4MCBpe2GVlKeMmVKnn766dLf5SxYcks7z5x44onZeeedkyR77713jjvuuNxyyy0ZP358rrnmmuywww4ZPXp0WrdunT/+8Y9l+WCBauSZxiz8RcGDDz646RMG6vXUU0/l2WefzcyZMzNjxow8//zzufTSS7Pjjjtm7733bvRLJpUaO3Zs3nnnncyZMydvvfVW7rrrrvz4xz9O//79S0/0rMvSyDUPPPBAJk2alDlz5uTdd9/No48+mj/84Q8ZOHBgRo4caXEToIwCUwCaZEHxU5KKvi25oMB0cR/rvPAjiE4++eRMnTo1u+++ex566KHMnDkzb775Zs4555x07do1tbW1OfbYY+v8pulee+2VJJk6dWrOOOOMOse69957c/PNN5f+vvAcF/ab3/wm//znP7PDDjvk+uuvz7777pvBgwdnzz33zEUXXZRNN90011xzTS6//PK0bt16seYLLLvatGmTX/ziF3n88cez4YYb1tmmGrlm4bx32WWX5T//+U8GDhyYm266KdOnT8/06dMzZsyY0uMn//a3v+WnP/3pEs0NaNiZZ56ZcePGJZn/C4ctttiiSf0szvXTwqvkfPz6qZrXNaeddlqefPLJrLXWWvnZz37W8ASApaZaeaYh99xzT+kxanvvvXe6du1ab9tq5pnGHHDAAZkwYUL233//Jh0PLJ5BgwblwQcfzOmnn56ampom93PEEUfko48+ygEHHJDPf/7zi318c+YZoPruvffeXHDBBWnTpk3OO++8JconS9s222yTRx55JD/4wQ/yyiuv5Mgjj8x2222XoUOH5rjjjsuHH36Yk08+OePHjy/da1nY9ttvX3qM9sUXX1z2hImF/exnPyutEJ3IWbCkmiPPdOnSJbfcckv++te/pk+fPjnjjDPyxS9+MVtuuWUOPPDA3HXXXdlnn31y33335Vvf+la9/SxpnmnIhx9+mOuuuy7J/C8r77jjjks0Z6Bcp06dcuCBB+avf/1r7rnnnjzyyCO57bbbcuKJJ6ZHjx5JkhtuuCF77bVX5syZ0+RxNt544/zsZz/LmDFj8vDDD+fBBx/MJZdcUvos9e6772bfffetdzXlpHq5plevXvn2t7+dq666Kv/5z3/y8MMP5+9//3u+/vWvp23btqmtrc3JJ5+cE088scnzBT6BCgBogldeeaVIUiQphg8f3mj7vn37FkmKtddee7HG+eUvf1kaJ0mxxx57FPPmzVuk3T333FO0atWqSFJstNFGRW1tbdn+l156qejatWuRpKipqSmOOeaY4tlnny1mz55dvPHGG8Wf/vSnYoUVVihqamqKNm3aNBjr66+/Xnz1q18tOnToUBbbgj9t2rQp9txzz2LChAmLNVegMi+++GLpfBsxYsRSGeOZZ54pnnjiieKxxx4r/v3vfxe//OUvi969exft2rUrhg8fXkyfPr3O46qRa+65556ynNK3b9/i7bffXmSst956q+jdu3eRpGjXrl3x2muvLZXXAj7t7rzzztL52rNnz2Ly5MlN7uvrX/966dyeOHFig20vvPDCUtvLLrusbF+1rmueffbZ0vXMzTffvMj+IUOGlGIAlp5q5pmGfOMb3yid07feemuDbav5+WmB1157rXjiiSeKJ554orjvvvuKc889t/jMZz5TJCm222674tlnn63mdOFTb9q0aaVzbty4ccVVV11V7L333qXzdcyYMU3u+5JLLimSFF27di1ef/31RfYvyDVDhgypt4+lkWcWuPjii0sxXHzxxU2cJVCfWbNmFQMHDiySFMcff/wi+0866aTSOXjHHXdUdewRI0aU+n7xxRcrOqa2trY444wzin79+tV5LzdJMXDgwGLUqFH19vH73/++1LZXr17FpZdeWkydOrWYNWtW8dhjjxVf/epXS/dnFrT75S9/WaVZw6dPc+aZBx54oNhxxx2LmpqaOvND165di6OOOqp477336u2jGnmmPldccUWpjx/96EdLMlWgDtOmTat33+TJk4vNNtusdA6eddZZVR+jKIrivPPOK43Ru3fv4sMPP6yzXTVyzYwZM4rZs2fXu/8///lPseKKK5Y+pz3yyCOVTBH4FPBbIgCaZMqUKaWL1QMOOKDR9j179iwVfy6O008/vezC+Omnn6637X777Vdq9/jjjy+y/5///Gexwgor1HvRnaQ47bTTii5duhRJikGDBi3Sx1NPPVX06dOnSFL06NGjOOecc4pXX321mD17djF58uTi0ksvLdZYY40iSbHSSisVd99992LNF2hccxSY1uWdd94pBg8eXCQpNtlkk+L999+vs92S5prx48eXtT3vvPPqjelPf/pTqd0f//jHqs4XKIonn3yy6NatW5GkaN++fXHnnXcuUX/f+ta3SudsY19EOeecc0ptR48evcj+alzXDB06tEhS7LvvvnXGoMAUlr5q55n6zJw5s1hppZVKv6yYO3duo8dUI880Zu7cucURRxxRJCm6detWPProo02ZHrAYLr300qKmpqZo1apVk4ov33rrrWLllVcukhRnn312nW0qKTAtiqWXZxSYwtK1oLBrjTXWKGbMmFHv/mWhwHTevHnF/vvvXzrmsMMOK/773/8WH330UTFjxozi3nvvLfbcc8/S/mOPPbbevo488sgG81WPHj3KFkv4wx/+UMWZw6dLc+WZa6+9tmjfvn3pfu/f//734u233y5mz55dTJw4sTj11FOLjh07FkmKDTfcsHjjjTcW6aOaeaYuu+66a+nYp556qslzBZpm4sSJpS+QrLPOOkttnMMPP7x0rl9++eWL7F/auWZhl19+eamfww8/fEmmBXyCtAoANMEKK6xQ2q7ksfcffPBBksYfB9vQOGuttVaDS/rvuuuupe3x48cvsv/zn/98Hn300Rx22GGlxxossNVWW+X//u//8u1vf7s0n27dui3Sx/Dhw/Paa6+lU6dOueeee3LUUUelT58+adu2bVZdddUMHz48DzzwQFZdddW8++67OeiggzJr1qzFmjOwbOrWrVsuueSSJMnjjz+eX//613W2W9Jcs3DeS5Lddtut3pgay3tA07344ov5/Oc/n2nTpqV169a56qqrMmTIkCXqc3GunxZcOyV1Xz8taa656KKLcscdd2SFFVbIWWedtdhzAZbc0sgz9bnxxhvz7rvvJkm++tWvpnXr1o0eU43PT41p3bp1/vjHP6Zv376ZNm1ajjrqqMXuA1g8w4cPz/7775/a2tp85zvfybRp0xbr+GOPPTZTp07NFlts0eCjYivRHHkGqK6nn366dD/k7LPPTufOnVs4ooadc845ufbaa5MkI0eOzAUXXJDNNtssHTp0SOfOnbPtttvmxhtvzPDhw5Mkv//973PzzTfX2de5556bG264IZ/73OfSpk2b0r936tQpBx98cJ544omstNJKpX+Xs6BpmivPvPnmmznkkEMya9asbLjhhrn//vvzpS99Kd27d0/btm3Tv3///PjHP86YMWNSU1OT//3vfzn66KMX6aeaeebj3njjjYwdOzZJMnjw4AwcOLBKswcq1b9//+yyyy5Jkueffz6vv/76UhnniCOOKG3fddddi+xfmrnm4w444ICsuOKK9cYCfDq1abwJACyqQ4cOWXnllTN16tS89tprDbadNm1aqUiib9++izXOwu379OlTcdspU6bU2aZ///654IIL8te//jWTJ0/O9OnTs9pqq6Vr165Jkvvvv7/UdoMNNig79rHHHsvDDz+cZP4vZev7MN+7d+8cffTR+elPf5pJkybl1ltvzV577dVg7MDyYeDAgVl33XXz3HPPZfTo0Tn11FPrbLckuaZPnz6pqalJURRJktVXX73eeCrJe8Die/3117Pzzjvn9ddfT01NTS666KLsvffeS9zvwtcyr732WrbYYot627766qul7fqun5Yk15x22mlJkiFDhuSee+6ps/+F88rVV1+dJOncuXP22GOPeuMGKrO08kx9Lr300tL2wQcfXPFxS5JnKtWuXbt84QtfyF//+tc88MADef3119O7d+8m9QVUZq+99srf/va3fPDBB7nlllvyla98paLjXn/99Vx22WVJkh133DF/+9vfGmw/ZcqU0jXEWmutlc9+9rOLtGmOPANUz5lnnpnZs2enf//++fDDD0vn+MKefPLJ0va///3vTJ48OUmyxx57NHtB6oUXXphk/pf9fvSjH9Xb7tRTTy3ltwsuuCDDhg2rs91ee+2VvfbaKx999FEmT56cVq1apXfv3mnbtm2S+V9IXkDOgqZprjxz9dVXl35v9ZOf/KTe43baaafstNNOGTt2bK6//vpMmzatrIC82nlmYVdccUXmzZuXZPE+xwHVtcEGG5SKNSdNmrRU7lksfN0wadKkRfYvzVzzcW3atMmAAQMyfvz4OmMBPp0UmALQZAMHDsw999yT559/PnPnzi375vbCnn766bJjFseGG25Y2l7wQbo+C++vL5YFampq0qtXr/Tq1avs3++9997S9sd/8TFhwoTS9mc+85kG+998881L208//bQCU/gEWWWVVfLcc8/l5ZdfbrRtU3JN586d069fv7z00ktJktra2npXGVucvAdUZurUqdlll13ywgsvJJm/Wka1buIvfKNw4eujuizY36ZNm6yzzjoNtm1KrlmwwvpNN92Um266qdHYDzrooCRJv379FJjCElqaeaYuU6ZMyT//+c8k8z/HbLTRRovdR1PyzOJYZZVVStsvv/yyAlNYyj5+zlVq9uzZpe3f/va3jbafMGFC6RpixIgRDeaJpZ1ngOpY8DnihRdeKJ3fDfnlL39Z2n7xxRebvcB0wf3cDTbYIO3bt6+3XZ8+fbLqqqvmzTffbPSzWpJ07Ngxa6211iL/viBndejQIZtuumkTo4ZPt+bKM4v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" ] @@ -722,10 +977,14 @@ " for mu in [0.1,0.2,1,10]:\n", " print(\"mu=\",mu,\"useExco=\",ue)\n", "\n", - " E, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[ue])\n", + " E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[ue])\n", " out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[ue])\n", "\n", " # plot landscape\n", + " _=getfig(Ecost,ng=m)\n", + " # plot landscape\n", + " _=getfig(Eexco,ng=m)\n", + " # plot landscape\n", " _=getfig(E,ng=m)\n", " pl.plot(x0[0],x0[1],'ro')\n", " pl.plot(xb[0],xb[1],'wx')\n", @@ -745,7 +1004,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 16, "id": "22a07150", "metadata": { "scrolled": false @@ -757,29 +1016,29 @@ "text": [ "mu= 0.1\n", "Optimization terminated successfully.\n", - " Current function value: 0.550010\n", - " Iterations: 19\n", - " Function evaluations: 37\n", + " Current function value: 0.471416\n", + " Iterations: 39\n", + " Function evaluations: 68\n", "mu= 0.2\n", "Optimization terminated successfully.\n", - " Current function value: 0.550020\n", - " Iterations: 19\n", - " Function evaluations: 37\n", + " Current function value: 0.484605\n", + " Iterations: 32\n", + " Function evaluations: 57\n", "mu= 1\n", "Optimization terminated successfully.\n", - " Current function value: 0.541002\n", - " Iterations: 58\n", - " Function evaluations: 102\n", + " Current function value: 0.503947\n", + " Iterations: 69\n", + " Function evaluations: 122\n", "mu= 10\n", "Optimization terminated successfully.\n", - " Current function value: 0.549895\n", - " Iterations: 37\n", - " Function evaluations: 69\n" + " Current function value: 0.501083\n", + " Iterations: 50\n", + " Function evaluations: 89\n" ] }, { "data": { - "image/png": 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+ "image/png": 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" ] @@ -803,7 +1062,7 @@ }, { "data": { - "image/png": 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" ] @@ -839,7 +1098,7 @@ }, { "data": { - "image/png": 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" ] @@ -851,7 +1110,7 @@ }, { "data": { - "image/png": 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" ] @@ -863,7 +1122,7 @@ }, { "data": { - "image/png": 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+ "image/png": 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" ] @@ -879,7 +1138,7 @@ "\n", "for mu in [0.1,0.2,1,10]:\n", " print(\"mu=\",mu)\n", - " E, x0, job, ji = qaoa.getElandscape(backend,mu)\n", + " E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu)\n", " out, job_b, xb = qaoa.getlocalmin(x0, backend, mu)\n", "\n", " # plot histogram\n", @@ -897,7 +1156,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 17, "id": "98286d13", "metadata": {}, "outputs": [], @@ -922,7 +1181,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 18, "id": "2ccfe6e4", "metadata": {}, "outputs": [ @@ -931,9 +1190,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 0.615001\n", - " Iterations: 12\n", - " Function evaluations: 24\n" + " Current function value: 0.549216\n", + " Iterations: 11\n", + " Function evaluations: 23\n" ] }, { @@ -942,13 +1201,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 35, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ "
" ] @@ -964,7 +1223,7 @@ "\n", "mu=1\n", "\n", - "E, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False])\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False])\n", "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False])\n", "\n", "# plot histogram\n", @@ -976,7 +1235,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 19, "id": "5ad02c62", "metadata": {}, "outputs": [ @@ -985,9 +1244,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 0.550109\n", - " Iterations: 12\n", - " Function evaluations: 21\n" + " Current function value: 0.000001\n", + " Iterations: 15\n", + " Function evaluations: 30\n" ] }, { @@ -996,13 +1255,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 39, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ "
" ] @@ -1014,11 +1273,11 @@ } ], "source": [ - "qaoa=QAOAChoose(CR, FR)\n", + "qaoa=QAOAChoose(None, FR)\n", "\n", "mu=1\n", "\n", - "E, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[True])\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[True])\n", "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[True])\n", "\n", "# plot histogram\n", @@ -1030,18 +1289,18 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 20, "id": "688dd638", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] }, - "execution_count": 69, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -1050,29 +1309,216 @@ "from qiskit.visualization import plot_state_city\n", "\n", "sv=job_b.result().results[0].data.statevector\n", - "plot_state_city(sv)\n", + "\n", "# pl.figure()\n", "# pl.plot(np.abs(sv)**2,'x')\n", "# print(sv)\n", - "# sv=np.array((0,1,1,0), dtype=complex)\n", - "# sv/=np.linalg.norm(sv,2)" + "# sv=np.array((0,1,1.1,0), dtype=complex)\n", + "# sv/=np.linalg.norm(sv,2)\n", + "\n", + "plot_state_city(sv)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "id": "e30a6408", - "metadata": {}, - "outputs": [], + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.504840\n", + " Iterations: 26\n", + " Function evaluations: 53\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "qaoa=QAOAChoose(CR, FR)\n", "\n", "mu=1\n", "\n", - "E, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv)\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv)\n", "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv)\n", "\n", "# plot landscape\n", + "_=getfig(Ecost)\n", + "# plot landscape\n", + "_=getfig(Eexco)\n", + "# plot landscape\n", + "_=getfig(E)\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "77cd733f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "_=getfig(Ecost+.001*Eexco)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "e256ae68", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.504770\n", + " Iterations: 16\n", + " Function evaluations: 32\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOASwe(CR, FR)\n", + "\n", + "mu=0.1\n", + "\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,sv=sv)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,depth=1,sv=sv)\n", + "\n", + "# plot landscape\n", + "_=getfig(Ecost)\n", + "# plot landscape\n", + "_=getfig(Eexco)\n", + "# plot landscape\n", "_=getfig(E)\n", "pl.plot(x0[0],x0[1],'ro')\n", "pl.plot(xb[0],xb[1],'wx')\n", @@ -1086,18 +1532,18 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 24, "id": "cf5b29f3", "metadata": {}, "outputs": [ { "data": { - "image/png": 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ud/r4yWQSfr8fa2trmJiYgNFolByLTEWlesyo1EtGIR88z0sRFKZRzWAwKkGN2QiVrpE8z2NsbAyCIGBwcFBqDFYrSLfXFCvjFUusHA5H3jLeenYU6nGNFASh6PqY6ziIqoOiImQ9vtfV5K53FMotNcqlEiOYWWp04sSJXddQTUWlTDxBAZ/8cgyBYDzr9xq9Db6EDT+4BbwwGgbhV9Hu5NB/yop3DLaiwVK+VKvBYEBraytaW1sBpN8Lv9+PxcVFhMNhWK1WuFwu8Dxf0WurBvVqnIHiBpppVDMYDDnkSoNXsumrZB0Lh8MYGRlBV1cXurq6suzRXjkK1T6nkjLeWsmwKqVe10ie54uuj/nkyu/mOUd3taNQbq1lPsp1FLa2tjA5OZlVapRLLQzh9UkBf/VsCBzHFX0cIRpA58RaGPjW68A3XvVBT4PoaaG475wD9192Q19B34HZbIbZbEZHRwcopYhEIvD7/VJNamZj9F4rKtVrtATIziiUopTUHCEEX/7yl/HEE0/AZDJV65IZDEYdofZshHLXyNXVVczPz0ulRrnshaOwFxvDYmW8Pp8PyWQSc3NzJct4a0m9rpFK18dSjsPGxgbGxsbwi7/4i6pfaz1wVzoKldZa5kNp/aUgCJiamkI4HN5VapRLtQ3hF7+Xwg9uhAAoP4dGowOPRsx5gbkfAH/3vQ2YtSEc7dDirf0uXDzRWPb7SwhBQ0MDGhoa4PP5cOLECSQSCSkVy3FcViq2mhrV+ajXaAlQmYHO5zj81V/9FZ544gmVro7BYNQz1ZiNoHSN5Hket2/fBsdxWaVGuShdH+vZbishs4w3EolgdnYWFosFq6urCIVCBct4a009vteVro+5jsPMzAyuXbvGHIWDghq1lvlQklaNx+MYHh5GU1MTLl++XPIaquUoxJMUn/yHOJY3oqodU6M1IgEjbq0Ct1YB4WvLONK4ij/6D/dUdFxRPcHhcMDhcKCvrw88z0up2MXFRQCQUrEOh6Pqikr1Gi0B1L02Qgg4jtvzDA6DwaguavTrFUJJRiESiWB4eBidnZ3o7u4uOcNIyfq4l6pH1YJSCq1Wm7eMd2FhAZFIRCrjdblcMJvNdbmBrxVKMgqlIIQgGo3u+QyPanLXOApq1lrmQ64RFEuNTp06hcbGRlnHroZRmlsX8Kl/jCAeT6p63EwEgcfW0pvwz60CqNxRyDVsWq0WjY2N0vvIcRz8fj88Hg9mZmag0+myNKrV/szrPTKl5rXV06LIYDDUR61+vULIDaatra1hbm4OZ8+elTU/qN427XtBvtdfqIx3enoa8XhcUlSqhzLeWqN2kC8SiTBHYb8j1lq++eabuHDhQlU2d6UcBUEQMD09jWAwiCtXrij6YqptCL9zncc//SAIWsUG6VQygrXpF5CIeNHotFTtPJnodDo0NzejubkZAKQyJTEVazKZJMNotVorvg8EQah5uZNc1Lxf7vZFmME46PA8j5WVFXAch46Ojj1ZI3mex/j4OFKpVNFSo1xqJfZR7xT7zDLLeLu7uyEIQpai0l6X8dYaNTMKAKSMzUHlYN8NyK61jEajVYsAF0t/ZpYa9ff375n+NC9QfPbrKYxOhyo+VjFioQ2sTf8APCc2+1T+npcTvTcajWhra0NbWxsopVIqdn5+XooAZKZia3FN+5VqRBgZDMbekllqxHEcksnknqyR0WgUw8PDaG9vR09Pz57MMFJCvWUxlK5Fxcp4FxYWQAipaRlvralGRkFO9mu/cmAdhWrWWuajUFTD4/FgYmICJ0+elMa4l3NsuUbJ5/MBABwOx67X/Mq4HjPrOuiNAJ+KQxBSZV1PMQIbt7G19DqQcb1qLDuVGmVCCCwWCywWCzo7O0EpRTgcht/vx+TkJBKJRJaikhy5uXruUVATjuMO3ELBYNzt5Pbr6XQ6xGKxqp2vUEZhfX0ds7OzOHPmDBwOh+Lj1tumfT+SW8abSqUQCAR2lfGKikr7PWhUjYxCZ2enaserNw6ko1DtWst85BpBSimmp6cRCAQUlxrlIie1KggCJiYmEIlEoNfrMTU1BZPJhMbGRmkcPECgM5ihM1h2nsOBT8XApeLgUzFQWsnAOA6b8z9ByDuT5wWUfdjswxCCb74UwubWFn76nhb0tJdfE0gIgc1mg81mQ09PDwRBQDAYhN/vx8rKCnielyIqTqczbyq2HqdOAupnOg56WpXBuJvI7dcT18hKB6KVIncdEwQB4+PjSCQSGBgYyBogpvS4chwFSimWl5exsLBQcHDZfkVtm6/X6/OW8S4vLyMUCsFsNqtaxltr1C4bFmc+HVQOnKMgZhEKybpVq1wkM62aSCQwPDwMl8uFK1euVHy+UoYwHo9jaGgILS0tOHr0qGSMY7EYfD4fZmdnEYvFsBk5DOBQxjXroDHaoDemtal5Lpl2HLg4+FQccuVSU8kI1qZeQCLqLfs1loLnKf7saxxuzyUBOPDKZBzgttBsT+LiMTMefksrXI7ynTGNRgOn0wmn04lDhw6B53kEAgGpVIkQIhlGMVsjKjHVG2pnOg66EWQw7haKzUbQaDRVHWyZ6YiIpUZtbW04depURWuknOeKU50ppbh06ZKUTV5aWgKAXbZ9P1LNzXqhMt65uTlJ8aeSMt5ao3ZGgake7RPklBqJhqoaZRTiZt7r9WJ8fLyiUqNCx86HeD5RRYnneSnSLZbaiOPgIzeLD1PT6gzQ6gwwwAFKBYT9i0hE/SBEA73Jlh62lkM0uI71mRcz+hHyXL+yl7uLUJTiH14/ilA0fOeYhAB6Ozwx4LvDwLWb29AIQXQ28Rg8bcPbBlpgMpZ/e2u1WjQ1NUmfYSqVgt/vx+bmJqanp6HX68HzPIxGY931KqjtKBx0I8hg3A2Umo2g1WqrmlEQgysbGxuYnp7GmTNn4HQ6q3Y+kWg0iqGhIXR1daGzsxOpVCprcJlYZrO5uYmpqSkYjUYpE18oWl5v5U61vJZiZbwTExNIJpNSGW+9NpmzNVIZB8JRkDsbQavVqu5JilBKkUgkMDs7i/7+flUn2OYzSpRSzM3NwePxZJ2vkMEghMBile/pE6KBrbEPtsY+AOmsQSSwDC4ZgUZrgN7YkO5HWHwdpTMP5W+iZ1YF/Ok/hpFIFo90EY0WVOPC8jaw/ArwTz/2wECCONQK3H/Ribecc0OrLd8w6PV6tLS0oKWlBUA6i3P79m14PB6srKzAYrFIi4/FYtlTx0Hte5xlFBiM/UtmqVGxfr1alB6trKxAq9VicHCwJiU/4ub/7NmzcDgcedfH3DIbMRMvil6IMqKNjY11KyO6l8GqQmW8Xq8X8Xgcr7/+esky3lrD1khl7P0nVgFKZyNUyxAmEgmMjIyAUqpKqVEuuY5CKpXCyMgILBYLrly5ItszrmCfDL3BCmfLCeln//otbC2+Ju/JZb4dLw7z+NK1YFmfmUarB4cmTG0BU9eAv/7XNVj1YRzv0uLtg26cPuws76J2MJlMkka1zWZDNBqF3+/H7OwsotFolka1mk6jHFjpEYPBAJT164mBtGoQjUaxsLAAm82GixcvVn1TSynF1NQUQqEQBgYGZIlTiJjNZnR2dkrR8lAoBJ/PJ8mIOp3Oqmdf9jNiGW9DQwO2t7dx/vx5bG9vS85XvjLeWqN2ZYnoUB5U9q2jUKzWshDVMIQ+nw+3b9/GiRMnMDk5WRUDmOkoBINBjI6O4vDhw2hra1N0HDW/jlqd/M1vOe/IF76dwkvDwTKemR+NzoQYNWFoCRha4iGkFuEybeMPP3gITc7yUoaZKXyr1Qqr1SqVeYXDYfh8PoyPjyOZTNa0ea4aig4HOa3KYBxESpUa5VKtQJoY1W9vb4der6+6k5DZI3j58uWK+x/sdjvsdrskIxoIBLC6uort7W0Eg0FJLWgv1YDqrfwVuHNNOp0uq4w3mUxmlXoZDAYpY9PQ0FCT18HzPBu4poB96SgoNYAiahpCSilmZ2fh9Xql0p/JyUlVjp2LWNu5vLyMpaUlXLhwoWiEt5DRyNNiUHckOYr/7x8SWFiLVPU8HJfC0Js/wXawvWxHoVDkPjMV29vbC0EQJI3qpaUlUEqzUrFql8Kx+ksG4+6lXGlwtaPkgiBgcnISkUgEAwMDUilKNREHiB0/flwqJVITsXcNACwWC7q7u+Hz+bCysiKpAWUrDdaGenQUCq1DBoNhVxmv3+/H4uIiwuGwVMbb2NgIs9lcldfF1khl7CtHodLZCGo5CslkEsPDw7Db7YpKf8qFUoqlpSUYjUYMDAxk1fhxnACdTt75NRoVG56q8OXdDAj4xJeiCEcSqh87k+j2KtZmfgCBT8FoKH+TLtc4azSarOY5juMQCAQkRSqtViv93W63V3w/samTDMbdidx+vXyoqXoUi8UwPDyMlpYWnDhxQrqWapXrUEqxsLCAtbU1XL58uWbKOwaDIUsNKBqNwufzYXp6GvF4HHa7XXIcDoIMqxLkro8mkwnt7e1ob2+X3kO/34/p6WnEYrGq9IiovUamUilF5W37jX3jKKgxG0GN0iOx1KhaEYtcotEolpaW4HQ6cf78+azX/XfX4vj+616A20ZPC8WDF124/2JTwVIf7R4FHOR8VkMzAj7/jRA4rrgyU6UENiewtfAqxAZsg778r0C5UQmdTge32w232w0g7Xj6/X6sr69jcnISRqNRchzKScVWo0dBdHIYDEb9UWg2ghLUCqRtbW1hcnISp0+fzrIb1Spt4jgOsVgM4XAYg4ODNal5zycwklmC2t3dLTX1+nw+KZMs2nWn06nqde6njEIx8pXxZvaIpFIpVcp4qyVqc1DZF46CaACVlhrlUomhElWGtra2VFc1KoRocFtbW7Nk2uJJiv/378NYWAsD0ABaF+a9wPz3gL/59hosuhCOd2vxjpymXc0e2RGOS8Hj8RRUPIglgP/9bYBCB6A6jgKlAjxLbyCwcTvr98YKJFTVMs4GgwGtra1obW0FAEmjWkzFWq3WLI3qUueshkZ0T0+PasdjMBjqkZtpr2R9rERmUxAETE1NIRwO520groajEA6HMTw8DJ1OhzNnzqh67ErJnM0DpB0av98vTTvW6/VSf8N+HFpWCjXWx3w9IrnOVzllvGoG0yrdl+4H6tpRqLTUKJdyMwrJZBIjIyNoaGjAwMBA0etQ48shTnXe3t7GwMAANjY2JAM+t87jk18MIBZP5n2uRmdEHEYMLwHDSzyE1AKaGmK4cNSMo33tAGpXNyldk0aLQCCA+fl5qQynsbERdrsdhBAkOUBndEBnTM9v4FMJcFwMfCoGgU9VfH6eT2J95oeIbq/s+ptxDzIKpTCbzZKiUr50dqaiUr5UbDUatVjpEYNRf1RSaqQm8Xgcw8PDcLvdBRuI1XYU1tfXMTs7i3PnzmFkZES141YLnU6XJcMaj8ezZFgbGhokx0Fpic1BySiUIrNMF7hTxuv1erPKeMXm8mLnr7f3q56pW0ehGgawHEMlNkcdO3ZMar4pdfxKorli/4PD4UB/f39Wbee3X0/iH77rV/QaNPoG+BMN+MEt4IXRbSTjSwClMFqaYHV0QlOD9JtWq8HRo0cBpF+fz+fD6uoqxsfHYbFYoDM1A0hLixGigc5ghs6QrjEVBD49LToVB8/FQAVljl4qEcLq1PeRjAXy/t1g2PuMQjHypbNFRSVRrk9MxTqdTuj1+qpIvx3kRi0GY78hdzZCLRAz3+LQz0KoNaRMbJKORqMYGBhQXH5SLxtEk8mEjo4OKSCUz643NjbKmj1Qj44CpbTq92W+Ml5xfxEKhaQy3mpmbVKp1IEvY6o7R0GNWstCKGnWopRifn4em5ubspujKnUUAoEAbt26lccpIfjii1ZMLHnLOq50FKKB0ezc+UlA0DuDVDIMrUYPi70dpga3/GOVORwhX/PX/Eqo4OM1Gi00xgbojTsbVSEO78YUKJ+CztgArbZwA1EsvIm1qReKT42u4N6qVkahGBqNZlcqVlRUWlxclIyz3W5XrQSJOQoMRv1QjjR4NRAEAdPT0wgGg7hy5UrJKLgaGYXMzIXYJL0XqD2ZOVcpT7TrYsYhMxNfKlJeL4hB3lqSub8Adg/PE8t41cxs3Q0Z97pyFNSqtSyEXPm3ZDKJ0dFRWCyWkqVGmZRb4ymqGq2uruLSpUtZsmq+oICnv2pCIJS/1KgStDoDtLp0BCgaWsP6/CvoO/tvVD9PIcRoeWubgi+ZxoSm9nMAAIHnEdleQSLmAwAYjDYQTXpjHPTOYnPuJVBavaE49RDF0Wq1UroaSKdix8fHEYlEcOPGDeh0OilVW+4CwxwFBqM+KFcaXG3EDXtTU5OU+S5FpY6CKCRy8uRJSaI0k3qwx2qRa9dFwQsxUm4ymaS/m83munzttcgolCJ3eF4kEoHf70c8Hsdrr72WpahUrmrR3bA+1o2jUAsDqNFopExFIQpH9UtTjvwbz/O4desWNBoNBgYGsiLA16c4fO6rfqSqrASUlgv9IcwN1VFxKvVZlhuY0Wi1sDX2wIZ0oy2XiiESWMb21hQ8S6+Xd1CF1Jtx1ul0WYtIvlSsKNcnNxV7NxhCBqOeUbtfr9S5itkFj8eDiYmJghv2QpTrKGRm9wsJiYgR/nqzx2qRKXhBKZUi5WLfmk6ng9FoRDKZrBuZzr3IKBSDEIKGhgZYrVasr6+jv79fUlQaHR0Fz/OKyr1E7ob1cc8dBbHUSBzt3dXVVbVzabXaggNfRB3mjY2NXVF9uSg1hJFIBMPDw+ju7t71uv/+u3FcezUAUcazWvjXb8GzdB0ABVVyLhW//4KgzsF0ejMczcewvTWlyvH2K5klUXJSsaLjUKi87m4whAxGvSJKg7/66qsYHBys6uar2IZbFNkIBAKySo0KHVsJqVQKo6OjMJlMRbP7So6tlhqPmqVHSs9tsVhgsVjQ1dUFQRAwPz+PYDCI0dFRCIIAp9OJxsZGOByOPaufr4eMQj7Ez1+j0cDhcMDhcODQoUO7yr0IIZKiUrH3kZUeVZnM2Qhyov2VUmgjn0qlMDIyArPZrKjUSO7x87GxsYGZmRmcPXsWdrtd+n08SfGJL4Yxvxou6xrkIvApbMy/grBv7s4v98buQVDT6wAAmeVGdRTsUJVivQn5UrE+nw+Tk5NIJBKw2WyS4yBGpg761EkGo17hOE5aF9UahlYMcQ3LXQMTiQSGh4fhcrlw5cqVsjbaSgNpoVAIIyMjOHToENrb24s+di837nuNRqOB2WyGXq9Hd3e3pAQkyrDqdDopw1zOXJ5yqbeMgkih9TG33CuVSiEQCGBrawvT09PQ6/VZfSLiaxMlzA8ye+Yo5JYa6XS6qo93z9ejsL29jdHRURw9elTSsS8XOT0KuVrTuYoNb85osBm2w2DWg0/FijbilksqHsLq9AtIxvw5f1FiaOUbgJKlRyq3EcjvS6g/I6YGcpusxVRsQ0MDenp6IAiClIpdWVnB9vY2vvKVr4AQgng8LiulffXqVTz99NNYW1tDIpG4DuA/Ukp/JONajgG4AYBQSplXwrirydevp4aqXilECfHMsguv14vx8XHFpUa5KHEUVldXMT8/j/Pnz8sKUtzNjkIuuUpAiUQCPp8vay6PuCGu5jyovRD7kIPc69Lr9VlytuL7uLy8jFAoBLPZjPX1dSwuLipyFPbjGllzR6FQraVWq636VN5M1SOx1Gh9fb3sUqNcSvUoJBIJDA0NoampqaDWtF5LoNXpodUZALM4VyAOLhUDn4pDECrLuqT7EV6EwOdrjlbP0Lraz0Pgk4gGV0sacLXNu9wFow6DHapQrtpRbio2FoshEAjgJz/5CX7mZ34GOp0O//W//lc8/PDDeZ//zDPP4CMf+QiuXr2KBx54AKdPn34ZwL8SQk5TShcLnZcQYgDwDwB+COCtii+cwThAFJIGFzfx1XQUMjfzlFLMzMzA7/erMmRUbiBtfHwcyWQSg4ODsuvElToKlZYf1ZtjUuz1GI1GtLe3o729PSuLLL7PYl2+y+WS/X5Xek17Sbnfodz3MRaLYXR0FF/5ylcwNzeH1dVVvP3tb8ev//qvFzz+fl0ja+ooZJYa5TYslzsMTQmiERTrHo1Go6oj34tFTMR5DKWiMrn3V3qugAU6Q9qREXhux2mIgePiisLxvrVReJdvoNDWXC27133qPVlSq6lkBL/3p+M4e9iIh+9tRWdLtlMmqO4pyCw9Auqq+Ust1IrkmM1mvPe978Wf/Mmf4JVXXoHf7y9aHvipT30KTzzxBJ588kkAAKX0dwgh7wLwWwD+sMipPglgGMCLYI4C4y4lVxo89ztcizVSPIdYauR0OtHf36+KPSmVUYjFYhgeHkZraytOnTqlaJMpV3FQ3HfU0ya/luTLIot1+QsLCyCEZA1EreRz3+8ZhWKIfSK/8iu/glQqhUQigbe//e14+eWXix57v66RNXMUMmst86ka1coIxuNxvP766zh8+LDU4KkW+QxhZpO0nKiMXlfcgGm0Ohi0NsBkSzcLCRFsrU2BEAK9yQ5Cdt+k6X6ElxH2zZd4BZUZT43WgEMXHoEmZ7aB3mBFkLPi5UngpYkICLeONlcK95y24u33tIJSZU1xpaCQ6TwRZDV/KR0DX6+oHXUUv6viNMx8JJNJXL9+HR/72Mdy//QdAPcVOfZ7APwcgMsAHqn0WhmM/Yic2Qi1CqaJM1lOnDghla+oQbGMu6ikdPr06aJ2ptix5W7+xQFZ9RjtLpdyo/fifAbxPU+lUvD7/VhfX8fk5KSkktfY2AiLxaLoHPXazKz2+hiJRNDU1IRLly7h0qVLBR+3n9fIqjsKcmcjVNsIUkqxvr6O7e1tvOUtb6lK80muIeQ4DiMjIzAajbKbpPVa+Zt1QgiotgHurvTNmUpGEPEvI5WKQKczQWewIBkPYS1vP4K6mKzN6D79HpRyNgjRAHoH1sPA118DvvaKFzoaQpzTwtzQCrOttXIDLnPB0Gg0uHz5MnieRyAQgM/nw+zsrDR7ILdpab+gZiQnmUzKSkd7PB7wPJ+vz2cDwDvzPYcQ0g7gLwG8j1Ia2m/vM4OhBnKlwWuxRobDYYRCIVVKjXIppKQ0OzsLn89XlpJS5rFL9T+IMqvLy8sAIAk3lKOhX2+2Sq1NuV6vR0tLiyQNL6rkzc7OIhqNKnrPBEFQtZRJLdTOdEQiEfT29pZ83H5eI6v6KRaqtcxHNY1gKpWSZhU4HI6qdahnpj9FxYa+vj50dHTIPoaugvtXb7DC2XpC+jkW2sTsza+AT8XkHUBROvbOZ+loPYWW3nvKql3SaPUQ0AiDDuC5OAIb4+BSUej0FlidXTCYbIqPKbeZObP2t6mpSSoJSyQS8Pv9UtOSOM1RHG6TPkd9p67VMihKpd/ynJegsPf49wA+Ryn9SXlXx2DsX5TORqjmGplMJjE8PAwAOH78eFWbXEVSqRSGh4fR0NBQcXlTqYwCz/MYHR2FXq/HwMAAgLRajaihLwiCZOMdDoesa6n3NUANclXycucOiDKs+TLxd1NG4aCvkVVxFErVWuajWkZQ1BY+dOgQ3G433nzzTdXPISKWHomKDefOnYPNpmyjq1fxEzHbWkAF+e+pojkKO7QdeStsjX2qNTjoDGboDOnNeDziQcg3BypwMFlb0OCSN2NDrqOgKbCXNhqN0uwBSimi0WiWhKjY8FtvUaVqEA6HZamOuN1uaLVarK+v5/6pBemIST7eDuCthJA/3vmZANAQQjgAT1FK/6LMy2Yw6ppi/XqFqNYaKfbPHT9+HH6/vyYbYDXVBoHijkI0GsXQ0JA0r0jM3tjtdtjtdvT19YHjOPj9fmxubmJqamrX5ON6t/W1aBwmhGS9Z6Uy8fUqj1qNjMJBXyOrllEoVWqUi9pGkFKKpaUlrKys4MKFC7BarRAEoaIR8qUghGBpaQl6vV6RYkMmOpXL45V9UZUsEBR9598HvVF5xF8uhBAYTHZsb07AtzqM44NPyLsyhRmFUo+xWq2wWq3o7u6GIAgIBoPweDyIRCK4fv161nCbeoygVILcGQoGgwH9/f24du0aHn300cw//TSAfy7wtHM5P/8CgP8fgEEAK2VcLoOxL+B5XpGTAFRnjZybm8PW1hYuX74Ms9mMYDBY9T6I5eVlLC0t4eLFi6pl9ws5CmLvw9mzZ+FwOAo+X6fTZUlhisEhcfJxrjLQ3dwQLVIqEy/23TQ0NBQc5rkXqJ1RuBvWyKo4CmIaVckXSenji8FxHEZHR6HT6TA4OCjdFHLqGMslFothaWkJDocDFy5cKNuTVjOjAADI09xcEJlvP6UCNFpDVZ0E8TyepTcQ2LgNq6tHyRNlPUxTKKVQ9DkaOJ1OWCwWhMNhnDlzBoFAQIpEGY1GKapitVrrMqKihEgkIls6+KMf/Sgef/xxDA4O4v7778fp06f/DEAHgM8DACHkEwAGKaXvAABK6Wjm8wkhVwAIub9nMA4aGo1GcVBBTQnxZDKJkZERNDQ0ZPXPKR2KpgSe56Wa98x1WQ1yN+6iE+T1ejEwMKC4ByF38nGmMpBGo4HVas3qK9lr6uE6cjPx4+PjoJRmZeLFxunc+VG1RO2MgtysO7B/18iqZRT2yuMu1htQrS+SGLVobW2teHOoekZB0VCx0p+XwKcQC21WPM+hFDyfxPrMDxHdTjvNBPK/2PJLj8r/nMT6y9yhLLFYDH6/H/Pz81KkQXQcym3UU3pdaqLECD722GPwer34+Mc/jrW1NQB4AMDPUkoXdh7SDuCIqhfIYNwl6HQ6VaL9YqnRsWPHpKZVkXxDSdVALP/RarU4d+6c6mtx5n5DFBExm82qSLvmKgMlk0msrq7C5/Phtddeq9kAs2LUg6OQiThEt7m5GU6nU3K2/H4/lpaWAGDPMvE8z6sqiS639AjYv2tk/bWklwmlFMvLy1heXpY9zVGNc2YqNmxtbVVsyA2qZxTUMx6CwCEa2gAVqjsYL5UIY3Xqe0jGAnd+qUiWTb3So0IUqr80m80wm83o6OiQVER8Ph/GxsbAcVyWDGs1FCHUXjCUGEEAeOqpp/DUU0+JP/bnXNsTxZ5LKf0CgC8oukAGYx9SzndUq9Uimcw3KFMeourP5uamVGqUS+ZQUrUQs61nz57FrVu3qrKhFSsSIpEIhoeH0dvbq0hERAkGgwFNTU2IRqM4depU1gCzVCpVtMH3biJzjcwnw7pXmXi1MwqiGpRc9uMaeSAcBY7jMDY2Bo1Go3pKsxD5FBs0Gk3RgVRyULv0KN9chUKUikZrNDpYHZ0QuAS4VAxcKg6BT1R6iVnEwptYm3oBPBfP+r0iw1HF0iMROcaGEAKbzQabzYbe3l7wPC+lsOfn5yXjKTZ/qWG89lrRoRoQQiwAjgLYBsAD4Hb+8Tn/6M5/AYBSSqtbbM1g1JBKehSSySRGR0dhsViKSnWrsYaJUEoxNTWFYDCYVf5Tjeg3IQQ+nw/r6+s4e/Ys7Ha7qsfPdz7xv5kDzPI1+DY1NVV9A1xvGQWg+BpZLBMfiURgs9mqlok/iGtktalq6VE5KL3hxVKj3t5edHZ2lnVOpYhKSkeOHMlSbFCjz0Kvto9TBYOs1Zug1ZtgBEAFHhwXT0+KTsUUqSzlEvLOYmPupQIZAfUzCpU4CuUYZq1WK6WogfTi7ff7sbq6ilAoBLPZnCXDWs53aK8UHarMBQDPAYgASAGIA4ju/BzZ+f9wxr8kgCEA/7QXF8tgVINyHYVAIIBbt27JUhhSq2E6mUxiaGhImuycubFWe1NLKcX29jYopbhy5YqqZSVKyW3wjcfjUmBI3ACXO7uhGPXoKCi5ptxMfCgUkkrk1M7Eq71G8jy/p/MiCCENAA5jdyCNAyDgTiBN2PkHpPscZNcY1lVGQTRSct90UT2hVqVGmecUlZQyUaNZOv29olCyMS56PJV7FHYdX6OF3mCF3pB+L3g+CT4VRyoeApeKQaMt/VlSSuFbvQnf6nDh8yjKjMh1FPZ2PL3BYEBraytaW1tBKZUa/USljcxFRW7zl9rRknA4vKuOeQ84g7St+jCATgD2jH+Onf+6ATTsPO4cgNfAHAVGnVJu6ZGSTTylFAsLC1hfX8elS5dkiRKo0cwsOibHjx+XIsaZx1ezjyqVSmFkZASUUhw9elTW5ruW/ZMmkwkdHR1ZG2Cv11v27Ib9RLlrZKYMq5iJDwQC8Pv9mJubg1arld43u92u+Luk5hpZJ8pXb0F6rQsh7RzEkA6eZQbTwhn/TQC4DuDrck+wLx0FsdSIEIKBgQHF3lw53jfP87h9+zYEQShY3lRNxYiyUVTbX/nptFoDtFoDDCY7eC6FyPYSkrEAiEYHvXH3lGNB4LAx9xLCvvniB1ZUelSfGYViEEJ2KW2Iw21WVlYgCEJW81chQ1eN+ss6yCiEAHyBUvpVOQ8mhDwC4Lere0kMRm1R4iikUimMjo7CZDJhcHBQtk2opEdBlCRfXV0t6JiIa6QaG7VwOIzh4WEcPnwYwWCw4uMpoRxnI3MDfOjQoaKzG+QqzYns94xCMXKzNMlkEj6fD6urq5iYmFCciVd7jVQicVwlLiCdaf8wgC7kD6Q1Ix1I0wI4D+D7qAdHoVoRE9E49PT0oKtL3gCufOdQ4lyIig2dnZ3o7u4u+NrUcBTSzWrqpSSVROLLySgUQ6vTw950WPo5GdtGZHsFfCoOncECSgWsTr+ARMRT8lhKMiNyDbh2jzMKxRCniDscDmlRCQQC8Hg8mJmZgV6vl4xjQ0ODdE8e0PrLfwXwYwAghOgAEEqpVEhNCNFjJwVHKU0iPbzmb/fgOhkM2SjdbMp1FLa3t3Hr1i0cPnwYbW1tiq6pXNUjjuNw69YtaLVaDAwMFLRBakmUr6+vY3Z2VhpqKur27yeUzm7Yb1RrjTQYDLsGovr9ful9s9vt0vuWLxOv9hpZBwQA/G9K6dfkPJgQ8kEAv6jkBHV195UyhCsrK1hYWChr4rGI0s18pmJDsYEt4rErMVbBYBAjIyMA3lb2MXZRtYFryjGYHTCY0++hIAiYH/pHWU4CoNDh2YcZhVLodDq43W643W4A6dpXv9+PxcVFScLU5XKVpc9ejHroUaCUBgEECSGEUsoBACGkGUATgHVKaSDn8T/GjmPBYBwUSq2PlFIsLi5ibW0NFy9eVByVBsoLdolKQ+LkY7WPn4nYIB0KhTAwMCBtBA/CALRSsxtcLheamppgs+3OzNdrRqHa5VSZA1HF9y0YDMLn82FpaQmUUkltyel0qprRAtKB3b2cCbHDPwOwAFLQDDmBNCnyvBNIWwTwZSUn2BeOAs/zGBsbA6W07InHInINFaUU09PT2N7elj2wpZJoyerqKubn53Hx4kX8w7B6W3ZlPQq1Q6PRKBsGVwV51HrOKJTCZDKhvb0d7e3tkiygz+fDxsYGEolEloGs5PtSJ6VH2HES6I6D8FsAfhbpxqwNQsjLAL5MKV3e04tkMKpIMUdBLDUyGo2KSo2UnCMfYmRfrtJQJcE0UWnQbrfj8uXLWRvjWjsK1T5fvtkNPp9PmnqcO7uhHh2FQhLi1UQciOp0OgFAKu/yeDyYnp6GwWBANBpFNBqFXq+v+PrqIeO+EygL7KyRKQAghLQCcAJY2wm0ZT7+u0rPUfelR+FwGCMjI+ju7kZnZ2fFH6wcQ1hIsaEU5URLBEHAxMQEEonEHSeIQEVPQUkkvn4jMko+d9mlR9r9k1EoRqZEn8lkQiQSgdPphM/nw+LiIgBkNX8p2UTUgyHcQYO0csNvAPgQgG8DmARwEsC/B/BWQsgfUkpH9u4SGQz5qFV6JJYaHTp0CO3t7RVdk9w1TBAETE5OIhqNZkX2S1FuME1UN8xVGsy87v2eUShGbrlN7uwGIJ11Lta/VmtqkVEoRW55Vzwex40bN7C8vIyJiQk0NDRIZUrlDMtTMpC0mmQE0toA/F8Afhrp9XKNEPIS0oG0tXKPX9cZBTHKXkmpUS6lDGExxYZKj51LIpHA0NAQ3G43Tp48eUdCDir6CUo22CqdUz4KzlgF1aP9nFEohNh/kzvcxu/3Y319HZOTkzCZTJLjYLFYit4j4XBYte9ehYgX+VYA36SU/gfpD4S4kVZ9+Dgh5ElK6eZeXCCDUU3ylZssLS1hZWUlrwpfOcgJpMXjcQwPD8PtduPEiROK1phygmlra2uYm5srqm54EEqP5JJvdsOtW7cQCoVw48aNms1uKMVeZBRKYTKZoNfrcfbs2ayBqKLDJfaFyJVhrYfS3B3EQNqHkA6mPQtgDsDpnd89SAj5I0rp7XIOXleOgjiiXlQY4nm+4lKjXAoZQjmKDaVQEtUQHZITJ05IdecSanoKVZZHrRXKBq7J7FHQHkxHIfe69Ho9WlpaJJlTUYZ1dnYWsVhMiqrk0/YWtb/rAPHmTAFYAQBCiBaAgVLqIYR8AMA1APcC+DohRKNEJ5rB2E9wHIfR0VHo9XpVh4yW2sj7fD7cvn0bJ0+elFRo1Dx+JmLWIhaLldwHqNUkrYR6cUy0Wi3MZjPcbjdcLlfNZjfIod4chUxKDUQlhEjvW6GBqJFIpKy9YhUQ3+i3I509+Jj0B0LaAXwNwB8TQp6ilPqUHrzuSo+i0Shee+01dHV1oaurS/UbLZ+hEhUbdDpdUcWGUsg1VuIshkIOiZqvWFkTsIonlnM6RYZWQUZB5gvR7qNmZrkIglByMTCbzejs7ERnZ6ek7e3z+TA6Ogqe56XhNiaTCbFYrC4MYcaU5T8H8D8IIcOU0n9BWjMalNK1nQnO4odffx8Og5FBufZDHPjZ19eHjo4OVa+p0EaeUor5+Xlsbm6iv7+/rDIN8fhy7L5Y/tvY2Cgra7EXPQr1ROZ6dDfPbqiEUgNRRflal8slZeLrKKMg3vwJAGuApBCo31kbHwXwPQAXAXxfLFWSe/C6yiiEQiHJEFVrBHuuTrTYA9HT01PxZOdS0RJBEHD79m1wHFc0CqSqDaoj1aNKzqeohEpmZEl7QDMKShzdTG3vvr4+abjN/Pw8PvShDyEcDuPpp5/Gww8/jEuXLhU99tWrV/H0009jbW0NZ86cwY0bNx6klP6owHlPI73pP4201vMqgH8A8N92lBnyQim9Rgi5B8DvE0LuB/CTnee+DcCbSA9ay3QsGIwDAaUUyWQSt27dqtqQ0XwbeY7jMDIyApPJhIGBgYrsnpxgmqj+p6T8924qPSpEvjWymrMbDjqFBqKKmfihoSEsLi4q+j5Ua43MWO/+DMB/JYSMUkq/jfQANiDtPDTgzmRmRXUrdeEo8DyP8fFxhEIhdHZ2Vs1JALJ1opUqNpSimKMQj8cxNDSE1tZW9Pb2Ft34qusn1FfkIwsldl3R65DnKPBcCvF4vKzoWD1nFCpZyDOH27z22mu499570d3djc9+9rN417vehfe///15n/fMM8/gIx/5CK5evYoHHngAV69exY0bN/6VEHKaUrqY5ylJAH+D9OY+gPTQmL9E2ib9fonL/H+QnpXwKIAHkZZJPYK0Ue0jhBgBbOfKpjIY+xUx683zPK5cuVIzSUaxiViNRmmgdDBtZWUFi4uLuHjxoqKei70oPaon5DpJmc29mZvfgzK7oVrkG4hKKcUrr7yC69ev45VXXsFDDz2ET3ziEwXX31qskZTSb+0E0v4rIeRtSAfO1pFubn4JwM2dxyn6suz5nSBqMHd2dqK5uRmBQKCq5xMzCuPj44oVG+QcO98X1u/3Y2xsTHZdp7r7T/VLdtRDQUZByeuQ3aNAMD4+jmQyKU09drlcsiLy9ZxRUPO6dDodHn/8cTz++ONFH/epT30KTzzxBJ588kkAwGc+8xl89rOfXUNayvQPcx9PKZ0GMJ3xqwVCyENIb/yLspMy/UtCyN8g3ZNwHsBZAO8E8BiAJQArhJAnyqnHZDBqgdxAg7hZ7+vrQyKRqPJV3aFaYiL51shM9b+BgQHFm1S5GQWe5zE1NQVKKZqamiRtfaXUWwajnMBVvs2vktkN+xG1Gqw1Gg3uuecejI2N4YEHHsAHP/hBvPHGG0XvpRqukf8N6UDaewE8hPRU5kMA/gTAcULIOtKBtG0ZLxXAHvcoiBH9M2fOwOFwwOfzlT0+Xi6CIGBmZgadnZ2KFRtKkRvVyGyQvnz5Msxms8zjqHZJCpuA1TuvvNMpOKGCfgK5BrzBYsHFixezmpjm5uag0+mkdGzm1OPcc9Sj4VRzmIzc15hMJnH9+nV87GMfy/3TdwDcJ+dchJCjAN4F4Bt5/tYMwI+0qgPZ+afZSb++uPNPfOwRAANIR1BSucdiMPYLlFKsrKxgaWlJKjVaW1sDz/NVzShQSjE2NoZkMqm6mEi+jIKo/tfc3Jyl/qcEORv3eDyOmzdvoq2tDQaDQdLWF8tvmpqaZK/RBxG5sxuamppgNBr3+GrLQ+0AXyQSQWtrK2w2G972tsKDcqu9RmayU4b0WULI/wbwFtwJpP0bAL+O9MC1JULI45TSiJxzVzWjUOjLKwgCxsfHpeiBaPSUDntRinjTt7a24vDhw6ofP/P1ikPiAChukN67HoUao0QdtQqTmXW69GeS28SUSCSkGQSiTrJoIMVG4XrOKKg5dVKOSobH4wHP8/n0zTeQjvIXZGdY2mUARqTTqn+U52HfAfDWncEx4l2T11BQSmcIIccBPMlUjxj7FY7jMDY2BkJIVj+bVqsFx3Elnl0+sVgM0WgUnZ2dOHXqlOrBkNxgWlH1PwWUapIWz3Pq1CnY7XbwPC+dLxqNwufzYXJyEolEAk6nU8o21MtMglJUI3BVaHbD2NgYOI6TsvD76X1Sc30E5MujVnONzAikZfYfaCilMQAv7PwTH3sMwCDSPX2yDUnNS4+i0SiGh4fR3t6+yxBVy1HIVGw4dOhQ1VKG4msRG106OjrQ3d2t+AtcgRhPnmtSspm9u0qPdAWamY1GY9bU43A4nKUa4XQ6EY/H60U2NAs1HZhwOKy4Tjj3Vyj9IT8GwIZ0/eXTAP4zgE/kPOYCgH9HCFkFEEda2SHzv8md/6YARJHWkD4PYFT2xTMYdYJYatTb27tLYKOawTSv14vx8XEYjcaSfXTlkplRKKX+p4RiGQWx70HM6uc6WpnlN6KYg9i0qtfrpZ4ts9l8Z9bRASg9UkK+2Q2575MYbNvL2Q2lqEZGoQ7WyGsABimlmTd2oUDaFCHkGKX038u+aNTYUcgtNcqlGkZQHG0vKjZsbm4iEpGVbSkLjuNw48YNnD59WkrhKUXd71g9qx4poBqTmXWlDUam1nJfXx84jkMgEMDs7Cymp6exurqapRqx1wZSzYiJ3GiJ2+2GVqvF+vp67p9akI6YFIRSurTzv2M7cxH+ihDytGj0diTeVgD8W6RvUIp05ERA2hjySEdGUjv/eABhAFlj6xmMeiOfrVhZWcHCwkLBvgBx1pCaUEoxOzsLr9eLK1eu4MaNG1XbeIo9gmJjtlozIPI1M2f2PeSep9DryxRzAJC32bepqemuVwjKfZ/yzW5IpVKys9K1Qu2MQjQa3dM1cke44zyAf08I8SEdMBP/ZQbUxGAaAfAtQshRSums3NdZk9Ij8Qsbj8eLNg+r7SjkU2woZzKkHCilWFhYQCKRwIMPPli2zjSgdkahjnsUFERkqlJ6VIY8qk6ng9vths/nQ2trKwwGQ5Zkms1mQ1NTE1wuV82USTJRM2IiN1piMBjQ39+Pa9eu4dFHH838008D+GcFp9QgbZO02EmL7hjDdyEt7WbZ+WfL+NmU8Xvzzn+/CEB2oxaDsdeIpaqU0qJ9AWqvkalUCiMjI7Barbhy5Qo0Go20RlajtJLneSwsLKC3t1fVrEVuhD+ZTGJ4eBgul6vsvgcge+aM2Ozr9XoxOzuLRCKBxcXFuoii73XPXO7shu3tbfj9foyMjIBSWjezG6qRUZDjKFRxjdQj7Wg8ufP3QoE0DmmHQYN0mZKiaHnVMwpiqVFbW1vJL6xOp1Ot/lJUbMjVm65G1oLneYyOjkKn08FisVTkJAB7V3pUz6pHcjMKSpwPsUehHET1hNyFRBxus7SUDgJkqkbUwkCqqXqkJK360Y9+FI8//jgGBwdx//334/Of/zwAdAD4PAAQQj6BdHr0HTs/P450hGME6WjHFaTTqf9EKc2SdqGU3lLlBTEYdYg4y6e7uxudnZ1F10g11y9xcNuRI0eyaqfFc6gtj+n3+zE/P4/m5mb09fWpeuxMR0EMEB49elSaRq8Gmc2+yWRSWvPn5uYQjUYladHGxsa7WlpULFMym824fPmyNLthY2Njz2c37FWPAlC1NTIK4GEAVtwJmDVk/Cz+17zzzwrgS6gnR2FjYwOTk5M4c+YMnE5nycerUfcnNkoXUmxQO6MQjUYxNDSE7u5udHV14eWXX674mIRQqDdNoT5rBZUi1+FR0r+ql1F6VIh8kQmNRgOHwyGV1aVSqazJjmazWTKQ1VTXULNHQa4RfOyxx+D1evHxj38ca2trOHv2LAD8LKV0Yech7UjPOhDhkJaEO4b0TbqA9ByEP809NknvnIjYnEwIOYx0JMYH4OtIR0laAWwhbVipkqmTDMZeQAhRLEGqlqMg9gdcuHBhVzBA7WBapvrf4cOHkUqpL0Ym7h02NzcxPT1dtYF0mWg0GimKLggCgsEgvF6vNIRLFMAopJynJnudUciFUiqtQ/U0u0HtjMJer5E7a+JIxS+kBFX9VCilGBgYkF2jVumNHovFMDw8jNbW1oKKDZkD1yrF4/FgYmICZ8+ezdtzUS5qBp7ryXjsQknpkdxmZgWOgq6CyIIcw6zX69HS0oKWlhZQSvOqa4iqEfUYgVI6nv6pp57CU089lfmrH4r/Qyl9IvMPlNIvA/iynOPubPopABBC3oO06oMT6bKjryJdivRBANcppUWl4xiMeiEej8Pr9SqSIK10E8/zPG7fvg1BEArOK1AzmJar/uf1eqs2CyIQCCAcDuPKlSs1r4vXaDRwOp1SQDSZTEpOQzgclkpSGxsbq1KSWm+OQqF5BXJmN4jBtGrMbqhGj4ISUZNqrJEk400SA2SEkC4ABtzp3xOQDqIFMx8nl6ruTtrb26s+F0FE3LSXaiIWm6kqgVKKubk5eDweXLlyRXVNYTVLj6Cotr+2QVglpU5EpvekrPRI3YxCMQghsFqtsFqt6O7uhiAIkmrE/Px8zSNQclCq6FAtCCGEUkp3ZE//E9ITJmcA/B6llCeERJGu1fxVAN8ghGiYNCqj3jGZTDh37pyi52i12rI32mIZcCk1PrUchXzqf6VkTMuB4zjMzMxIzdG1KPEsVf1gMBiylPPEktTl5WUAkGz9QRlklovc9bHWsxvUzihEo9E9b2zPcA40hJCfAfA7AJpwp5k5inTW/TVK6f9Dyrjh6i+MqRBRscHn88natFdqBDmOw8jICEwmk9T8le+aKvny71kzcz0ju0dBSelRdTMKxciMnACFZzc0Njbu2XAbpRmFKiJKyJ0C0Eop/X1CyDuxIwFHKY0RQjZwZ2LlAbnpGQeZcuxHuRmFra0t2WXAapQe+Xw+3L59e1fgLp86USXEYjHcvHkTbrcbyWSyLmfbEEJgt9tht9tx6NAhpFKprM1wQ0ODlG0oNxNSbxmFcq8n3+wGr9er2uwGtTMKlNI9nyEhBtIAnAPwSaSFPL6DO8IfFqTLmsTUhwYF5FMLUZeOgpKJsCMjI7DZbOjv75dlJCoxgpFIBENDQ+jr60NHR0fex4gRk8q+tCpGXOrIeOxij0uPKnEU1I5M5JvdkDncJlM1olaGKRKJSGphdYINd5qwOpCOlIg0AYjt/H8d3/QMRvkoXb8opZiensb29rbsMuBKgmmi+t/Gxgb6+/t3CXuoWdYkOiNnzpyBRqPB4uKirOft9YZar9ejtbUVra2teef0ZGYblGat6wU11sfM2Q29vb2qzG4QBEG1Mt86aoMTA2mXkB7K9g5Kad5GoB2nQvEGuOryqEoRDUmpzdD29jZGR0dx9OjRfNPuSh5fKZubm5iamsK5c+dgt9sLPk6MmJT7JfF4PEgk7Ljj/FWGokFldTxHgchMsyjKKOj3LqNQjMzZDaKB9Pv98Hg8mJ6ehsFgkCJQmbMbCtWFlks0Gq2L0iPc8ZxnAQiEkJ9FWh7ODwCEkLcD+CkA3855PINR1ygV8FDiKIgSoQ6HA/39/bJtQ7lrpDgfQavVYmBgIO8aqJajsLi4iLW1NckZCYVCVZE9L4YaG8XcOT2ZAhjBYFB26U0dbVoBVGd9lDO7QZQmL+QQ8zyveoa+jhy0EIBJpHv38joK5Yp81F1GQTSEhRwFSimWl5exvLyMixcvKt7IlBORmZmZQSAQkBWRKdcQZkZiGqz3YTuu+BD5qZ+beBfK5ijI29QrOabaqkfVQqvVwu12w+12A7gzBChzdkNjYyPsdvueKTpUE9G4UUpfJoT8HYD/G4AbQAMh5DMA3gngNoD/s/O42jRGMRg1Rq6EeCAQwK1bt3Ds2DHFEqHlZN1z1f8KUWmPgiAIuH37Nniex5UrV6R9Qq0nJVdrc5grgJFbeiPKbeebR1BHG9aarI+5sxuCwaBU0iXObmhqaspaF9W8rnpxzjL68b4BoBHA7xNCnkXacUgi3asgAPBTSsuaNly3jkI+cofSlFOCocSgZA6jkRuRKcdREF8XIQQDAwP44bJ6XzBlA9fqeI6C3GoSJapH+vJv/72sCc03u8Hn82FpaQnRaBSzs7OqOA511KOAjAblLyDdoPUAgGYA9yA9sOZpSuk2a2RmHGRKbeIzpUgvXbpUVqOl0jVMFBKR0/9QSY9CMpnEzZs3pTkMmfa31o5CLcgtvRHnEYjVDaLcdlNTU9299kx51FpACJGkycU+kEAggPX1dUxOTkqzGxKJhGqlu4lEYs/6B4twBsCHkRb2WEK6FyECwIG0tOoz5ayRdVd6VMgQihGLrq4udHV1lb1Jk/u8cDiM4eFhHD58GG1tbbKPr9TIxuNxDA0Nob29/Y4yhKr7z/qJMlSCfNWj/dHMrBaZsxva2towOTmJhoYGyUBWMrtB7nj6arNTVykAAKU0BOAvAfwlIcRCKY3uPOZ9hJBZSunNPbxUBkMRapYeiaU/Go0GAwMDZW+I5GYUKKWYn5/H1taWbPW/cjPuwWAQIyMjOH78OJqbm3f9/SA6CrnkziMQ5bbHx8exvb2Nubk5NDc3w+l07nlTt9plsErR6/V5Zzf4/X4EAgFpTaxkdkMdqQJqd7LovwngXQA+C2AKgAvpAWsmAD3I7ulTxL7IKIgetNrzCgqxvr6O2dlZ2UNwMlFisMT08MmTJ6W6OwDQqjpHof5UIO6gZDKzTEdBwTENFfQoAPWV6gXSG4Xc1HUsFoPX65VmNygZblMPGYUMadR7ADyG9HTJFyilXwGQIoR8AMB7APwSgKcA3MwwnAzGgaLQJj4SiWB4eLhk6Y8c5EiIcxyH0dFRGI3Ggup/hY6t1FEQ1+NipcZ7UXq0l45Jrtz29evX4XK5pD42o9Eo1fNXc7hnIWqdUShG5uyGYDCIrq4u8Dxf8eyGeinNxZ1o8NsB/IRS+uFiDy4n416XjoJYgykIAqanpxEKhRQNbisXSimmpqak85UzGEWuIVxZWcHi4mLe9LBWs1eqRzWeo6DA0GrkZkYULEL6CkqP6pFcEYBMAynOblAy3GavDWGGk3AvgD9Duv6yBcCjhJBWAN1IOwnTAN6PnWZm5iQwDir5HIWNjQ1MT0+XFNqQi0ajKTo9WXRKent7C6r/FTu2XLsvKjYFg8GS6/Feb9z3GkIIGhsbpX6UfMM9m5qaypYVVcpeZxQKIaoe2e32imc31EMgbQdx0/M6gKpcUN2VHul0OvA8j0QigeHhYbhcLly+fLnqN12mQkQl5yvlKAiCgMnJScRisSKTMcs6dV6U9Siod17VkVt6BPmOQqUZhXqD5/miUZxSw21yZzconTpZBUTZt3+PdL3l7yAt//YVAH8A4EsAfpWVGzH2K0rXmczHC4KAqakphMNhDA4Oqjbxt1jpkTiPodzsvtweBY7jMDw8jIaGBlnrcTUGue0nckthc6cfBwIBeL1eSVY0n2qe2tdTLxmFTPIJ5ZQ7u6Eehq3tIN74EwD+MyFEh3TQLIp0P18caWdikVJa1rTGuguparVaBINBTE1NFaxHVBux/rEchYhcijkKqVQKQ0NDcDqduHjxYsEvqJqlR1Agj1p7lJQeydzUK1I9OliOglJFh1wDKc5uuH79On73d38XhBC89NJLeOtb31oyfX316lU8/fTTWFtbw5kzZ/DpT38aDz74YN7HEkIeAvC7AAaRbrKaBvBpSulfFzj8ZQCfo5S+uvP8BQCjlNL/tPOzAYBAKS0tB8NgHAASiQSGhobQ1NSkeiAt3xqWOdi0kuy+nIy72I/Y19cne47L3VZ6pITc4Z7xeFxyGmKxmKJyVLnUa0ahVDCt0OyGTCersbERJpMJwWCwXjIKOqTlUN+J9NC10wB+HkAQ6WbmONLZ+F8HMJIxoE02dbWLpJRie3sbq6uruHz5clWdBPF9Wl1dxejoKC5cuFCxkwAUNiDhcBivv/46uru7cfTo0aJfInV7FOR/WWtu9pT4CTJLj5SU383PzWBubg7BYHDfGP1iVDJ1UtTz7u3txX333Yfvfve7AIDnn38eDz74IL70pS8VfO4zzzyDj3zkI/ijP/ojvPnmm7jvvvvw7ne/G4SQngJPuQ/ACNJ9BWcBfA7AXxBCfqXA411Iz1AQMQH4mvgDpTTJnATG3QLHcXjjjTdw+PBhHDlypCp69ZkZBY7jcPPmTXAch/7+/opKgEs5Cl6vF2+++SZOnz6taNijEjWljY0NzM3NYXt7+0DYfUCZuIbJZEJnZyfOnTuHK1euoKWlBcFgEDdv3sSbb76JhYUFhMPhimVs6zGjIGdGVybi7Ibjx49jYGAAJ0+ehE6nw1/8xV/gP/7H/4gXX3wRzzzzDLxeb9HjXL16FYcOHYLJZEJ/fz9+9KMfFXwsIeQhQsjXCSFrhJAoIWSYEPLBQo/PGK72ZwB+GsC/AfBHAK4C+CKA5wB8Hztzh8qZpVA3pUdic1QqlUJ3d3dVG3C0Wi1SqZTkUQ8ODqrmSeczhJubm1INqZxSDjUcBZ5LQqPR1XePgoLzVUP16MSJYzCbDVmlN2JKttr9MNVAzfH0DQ0N0Ol0+NM//dOSi/CnPvUpPPHEE3jyyScBAJ/5zGfw/PPPY3p6+rcA/GHu4yml/2/Orz5HCHkbgEeQLifKxQDgCULIKQAepBUcHiKEJJHWiY4gHTkZKTSRksGoRxQFcnZm7SQSCTzwwANVWyMz1zBR/e/QoUOqTGkv9Hoz5wjJVVDKPW6p/U9mz0NzczNWV1cxPj4u2f2mpibVyrf2C7nlqIlEAl6vVxpiZrfbpTVRyR6pXlQBc6n0usTZDf/lv/wXHD58GENDQ5iYmMDf/d3f4Rvf+EZe50gMpF29ehUPPPAArl69ine/+90YGxtDT0/eWJoYSPv/AKwB+BmkA2lxSqm0Pmb08H0Y6WDaIoAw0uuhH8Ay0uVHUaQzDmvlvu66KD0SjVFvby80Gg1isVjVz/nmm2/C7XbjxIkTVUvbZqZrr1y5InvzqdVWtmFPxAKIhzYBQhCPeMGlYtBo9WnHoZ5QNHBNfUfBajGhra0lq/TG6/VidHQUgiBIDU12u70ujV4uakdxCCHS6y503GQyievXr+NjH/tY1u8ffvhhTE9P36fgdHakDVsm4g3yBoDjAPqQzoJuIZ1mfevO33kATqSnM28qOCeDsS8QA2kGgwEWiwUmk6lq5xIzChsbG5iZmSlL/U8JgiDg1q1b0hyhcmxYKUeB53kMDw/DYrHg4sWLSCQSkt0PhULwer0YHh4GAMlpaGhoKGr36ykbodbG3Gg0SkPMxBk9Xq8Xi4uLUgmTnPdGbBquR9Ray2OxGE6dOoXf+Z3fKfq4QoG0z33uc/jEJz6x6/FlBNIeQDp4RpHe02uQ7u8TX6i4Pt6HMtfHqn+Spb7AuVKkm5ubiqdCKmF7exuhUAinTp1CZ2en6scXHYVM+bj+/n5Fxq/cjAKlFLHwJlKxbfEXELgkuGR6GB8h2rTDoDVAo9Xvi82vhFyZVwXG25CheiSW3thsNvT19SGVSsHv90tRJ6vVWvfZBjWNM6VU1kLo8XjA8zxaW1uzfr/zs6wBJISQnwPwDgD351yDeAEfBmBDupHZBECPtD60eeefEeleh6Cc8zEY+wkxkNbX14eOjg68+uqr4Hm+ahsxQgi2t7eRSqXKVv+TSyKRwM2bN9HW1oaenp6K5iMVslfxeBw3b95EV1cXOjs7kUqlsLy8DL/fj4aGBrhcLnR2duLQoUOSwMPi4iLC4TDsdjvcbveu+v16XDvVvqbMGT2HDx/e9d7YbDZpTcy9R+o5o6AWkUik5B6yWCDt5ZdfVnK6XYG0jPXxD5BeD8X10bzzX/H/K14f98zlEwQBExMTiMfjWcaonPHxclleXsbS0hKcTmfJCZLlotFokEgkpH6EcjStdWU4CoLAIxZcA5fMmamR8V2llAfP8eC5OACy4zToodUaQDRa1L5LQYE8ahUyCgZD4TKd3HkEuUoIiUQCfr8fDoejbmoxeZ5XbVJkPB5XVNqQuyjs2LCSHzAh5H6koyQfppS+lu8xlNJ52RfCYOwjSm2m1tbWMDc3lxXV1+l04DiuKo5CKpXC2NgYKKVVVxvc3t7G6OjorjlC5VDoOsVznD59Gk6nE4lEAvPz8wgG03umYDCIQCAAIK0U5HA44HQ60dbWJkXUPR4PFhYWpHr1vZpNsNfkil+I2Ybl5fT+Vcw22Gy2uu1RUJNoNFpy4FqxQJrYB1iKQoE0EUrpbL7fq8meOArxeBzDw8Nobm7GyZMns77kojyqmgiCgPHxcSlCMjY2VvYY+VLEYjFsbm7i4sWLZTsjSjMKPJdENLgKgUvu/mPBDTaFwCch8ElwiIAQLbR6M7hkFFq9uTbRACXevUZe7b0SR8FokBcpy1VCSCQSePPNN6VBgOL046ampqqWBJRCzR6FcDgsa+qk2+2GVqvF+vp61u83NzcBYKPYcwkhDyDdaPV/U0o/J/faSIGbs5wmLQajHskMpOX20FUrmBYKhTAyMoKenh6sra1VdQ1YXV3FwsJC3jlCarG2tob5+XlcvHgRJpMJ0WgUs7OzSCQS0iZWtJeCICCRSGBjYwNra2vQ6/Ww2+1wOp3o6enBkSNHpPp9sbcxkUjA4/HA5XLVZDZBPUEIgd1uh91ux6FDh5BKpbKktgFIkqL1moGvFCVzhvIF0uR8v+QE0vI8R/X1sealR16vF+Pj4zh16pQk15WJ2kYwHo9jaGgIra2t6O3tBSGkaoZ2cXERW1tb6OnpqShjocTmcMkoosE1UCH/65GvFsSDT8UQCSwDRAO9wQqd0Qqd3gKNtjq3iZK7lsgV6FJSelQko1AMjUYDo9GIEydOgFIqDbcRndHM4Ta1jKqoGcWRO0zGYDCgv78f165dw6OPPir9/tq1awBQMLdKCPkpAM8C+G+U0k8ruTbmEDAOMuKa1dLSsiuQBlTHURBLgM+fPw+TyYSVlRVVjy9CKUU8HsfGxkbBOUJqnGNmZgbb29vS1OhgMIj5+fmC75tGo5FspyAIoJTC7/fD6/VKgytdLhecTqdUv//qq6/C7/djbm4OBoPhrs426PV6tLa2orW1FZRSaS0U+/1cLpfU77dXmQa1y6Gi0WjJNbJYIC03y5BLuYG0aqyPNcsoUEoxNzcHj8eD/v7+gpFXNY2g3+/H2NjYrtRmOWPkiyEIAm7fvg2e53Ho0KGK6+DkyvsnY9uIhTdLbI7L+GJQAalECKlEOjKg1ZugM1ihN9mh1apZr7q3qkfGMmtvM4fJEEJgtVphtVrR3d0t6S57PB5MT0/DaDRmDbepJkql34oRiURkZRQA4KMf/Sgef/xxDA4O4v7778fnP/95rK6uAsDnAYAQ8gkAg5TSd+z8/BDSTsJVAF8khIi9DDyldEuVF8Bg7ENKBdIAdddISikmJycRiUSkEmBBEKoSSEulUhgeHgYhpOgcoUrgeR4jIyMwmUy4dOkSKKXweDxYWloq+Jy55TDaW8ww7QSO8mUb4vE4VlZWsLy8DKPRCJvNhlgshkOHDkGn0yEWi8Hr9WJychLJZHLPgkX1ACFEGurmcrnAcRz8fj/W19cxOTkJi8Uia/Kx2qiZcQfkBdOKBdIeeeSRgs+rJJBWDWriKKRSKYyMjMBisUgefiG0Wi04rjJJdEoplpaWpHkMuR6+moY2mUzi5s2baG5uRl9fH9bW1pBM5ikBUoCcHoVYaBPJWKDk45QZ4/wbdz4VB59K9zVorfkXr7JQMkdB7utQ4CjoymkGQfFhMpl1rACkBWR6ehrxeFya8liNdHWpYTJKUOIoPPbYY/B6vfj4xz+OtbU1nD17Fs899xx+6qd+amHnIe0AjmQ85QkAFgAf2/knsoC0shGDcVcg2hG5gTRAvfUrmUxieHgYTqcTly5dKqlwVgliQ/bhw4eRSCSq4iQIgoDXX38dnZ2d6OrqAs/zWFlZwebmZsHz/cNzc3j5+jQI0aCx0YGTh9148HIrOlru7Blysw0cx2F8fByhUAg3b96EzWaD0+mE2+2WzpsZLDKbzdKaUMuN8V6SuUbqdDo0NzejublZ6vfz+XxSv5+Ybah2v5/afRORSESWGlihQNqHPvQhAPsjkFZ1RyEUCmFoaAiHDx9GW1tpEZRKjSDP87h9+zYopRgYGMi7GVMroyBOdM6cIK1k8EshdEXkUakgIBpck5SMSlKHygN3UCKPqn6PQrkoMThmsxldXV3o6uqCIAgIBALw+XyYm5uTpjw2NTXBYrFUvHiqGTGRW3ok8tRTT+Gpp57K+zdK6RN5fn4i32MZjLsNJYE0QB1HIRgMYnR0FEePHlVl0Ggxtra2MDk5ifPnz8Nms2Fubk71MpDt7W1Eo1H09/ejsbERyWQSCwsLCAaDec/D8QI++8UxzC6kpeUpFeD1+vGS14+XXp+C2WxBT1cTBs424/IpF3TaOxnk5eVlcBwnDU6NRCIIhUJYXFyE0WiUGqKPHTsGIF2ikimEkSm7fVCzDZlZ90wy+/16enrAcRwCgYDU72cymaQMvNolXNXIKMgJphUKpPX29ooPqftAWtUdhUAggPPnz8vedFSyiY/FYhgaGkJHRwe6u7uLRn0r3cyLahQXL17MulnUcEIK3csCn0JkeyV/03IB5PYo7AWKBq7JVj2qfvl6uYucqEMtlhTE43H4fD6pOU4cbpMrxScXtXsU5GYUGAxGeaRSKbz++uuyA2lA5Y7C6uoq5ufnceHChap+xymlmJ+fh8fjwcDAgNTUKgbT1Nq0if0VFosFTqcTsVgMs7OziMfjeR8fDCfxJ18Ygt8fKHjMWCyKiakoJqaW8KWv69DS7MLpo43oaoyizd0g9TtmImYbtra2sLm5Ca1Wi4aGBjidTrS2tkobY7EMZ2JiQpLdbmpqOlBNv8Wy7pnodDq43W643e60vHuBEi6Hw1Hx/bJXGQVg/wfSqu4o9PT0KDJq5UYZfD4fbt++jdOnT0tTBguh0WjKNrSUUkxNTSEUCuWd6KzRaCrerGo1u5/PJWOIBlcLNi0XRO78AdReHFVZN7PcZub6yigUQ5zyKDbHBYNBeL1eLCwsQKPRSAuI1WqV9b1QW/VISUaBwWAox2AwKBrGCZTvKAiCgMnJScRisbxrl5rwPI/R0VHo9fpdc4TEYFqltkocaOr3+3HlyhW89tpr8Pl8WFlZKVi+PL8axp9/8SYScflDXQWBw/rGFtY30lUf1gYbjvTEcM+FZpw94sgq2cptiA6Hw9jeTs81MpvNUrbh5MmTu4Z8UkqzJEbrcQ6BXMpZI8WmcYvFUpV+P7UzCrFY7K5pXK/P0XkKyBz9Xqq2U6TcqD/HcRgeHkZDQ0NBjelKS484jsPa8hqAo9LvkvEgYqENZXKiGdejGqpH65U0M6tbelTJ21KNYTIajSZrvkcikYDP58P8/DwikUhWtqHQAKS9UD1iMBiVYTQaFQWXtFotUqmUonMkk0kMDQ2hqakJJ06cqOomVBxw1tnZie7u7l1/VyOYJjoiBoMBly5dAgDYbDY8//zzEARBsqWZJZ1vjHrx998YgcAre+9yiYRDGB4LYXhsHjqdHu2tjbhythVvG7yjYpNph3U6HQRBQDKZxObmJtbX16HVamGz2eByudDR0SEN+cyUGC020KzeUWONVLvfrxqzHQ5q6VguNZFHrRY8z+PWrVvQarWKRr9rtVokEglF54pEIhgaGsKhQ4fQ3t5e8HGVlk7dvHkTja7TwPzO78JbSEb9ZR0PgLIdcc1VJ5WUHsmVea3+a6jFMBmj0Yj29na0t7eDUiplG0T1jnyRp0J1oeUQjUbLGhbIYDCqi1arLVhWkw9x6FhmL50cytnsiUqDxTL7lZbnitOc29vbpcizKCJy6tQppFIpbG9vY3V1FbFYDDabDW9M8vjx6/Oqrw8cl8LKmhcPDhSf0Jsv2yAOexMj6eLcBlFiVBz2trS0VFaGeS+pxhpZab+fmhmFu02he99mFKLRKIaGhtDV1ZU3alEMpYbK4/FgYmIC586dg91uV/XYIqKBPXPmDGY9rnTTcmgdXCKs+FiZ1HWPQhVKj+RnFMp/X2o9np4QAofDAYfDASBd1yxOxAyFQmhoaEBTU5Oqkr+RSKTqcq4MBkM5SpQBl5eXsbS0pHiwmTj/SImdW15exvLycl6lwdxjl2urRAGRkydPorGxEalUCgsLC9KGG0hr+ot17zzP4399ZRzj06tlna8UBoMZH/qVizjaLT/7Wkh+NRqN5h32dvjwYSSTSXi9XinD7HA4KupnqzZqBq3yUU6/XzWcl3p32NSi/u4w3DEkhT5UceN+5syZsgabyW1mFsuaNjc3ceXKFVnSZuWkVVdWVrC4uCgZWLqZQjiwCoFTlvXIS13fyPLfJ41M1SO5x6zkXdnr8fR6vR5tbW1oa2vLqnONx+N44403srIN5V5nOByW3ajFYDDKJ3coaSl0Ol3JHgVBEKShV+UMNhP7IOTYD3GKdCKRKKg0mEm5wbSNjQ3MzMxIk5ZjsRjm5uYQi8XybtjicQ6f+tsRrG94FJ9LDg02Oz76xEW4nZVJnpYa9ma1WuF0OuFwONDe3p7VzzY/Pw+dTodkMoloNFo3wR25zcxqIaffT03nhWUUVKacm0U0hLkfaqbWtNyNez7kNDNnljXJkawTURItEYfdRKNRyZjHYjFsra1A4NSpSaznjIISOC4JnaF049BBzCgUgxACm80Gm82Gra0tXLhwAX6/H6urqwgGg7BarWUNt5EzdZLBYNSeUs3MiURCmuycT51HDnI385m9D/mmSBc6tpKNlrjue71eXLlyBVqtFpFIBLOzs0UzK3/7zRmsbXirsgK2tjTjd//tOVhM6s7CyZdtiMViiEQi0rA3u90Oh8OB3t5eHDlyBPF4HNevX8+q3ReHvak9q0cu1c4oFKNQv9/y8jISiQSi0WjJfr9SxOPxunHKakFdZhREQ5j5IXIch9HRURiNRkUb93yUMoJiM1ZHRwd6enpUPbZIZmO0OKVSrKsk0ABQqXmpTja0eVGwWMSCK0hGPdDpLdAZrdAZrNDkaXCuhaOw1xmFYuj1erS0tKClpaWi4TZMHpXBqE+KOQqBQAC3bt3CyZMnpSZQtc8hEgqFMDIyongWg5KMgiAIGB0dhU6nw+XLlwGky3QXFhZKOhu/+egJBMOH8dLNLQxPbGFtw19xIzMAHD/Wjd969Di0WvXXAEGg0GjurE35hr15vV5sbW1Bo9FI8qsAcP78eal23+v1YmZmBkajEW63uypzCYq/jtpmFIoh9vtxHAetVgur1ZrV7yc2jCtRmgqHw8xR2GtyazAjkQiGh4fR29uLjo4OVY5fytCeOnVKqn9TghwjKDYti6+HUoqNjQ0p1ahuyaGaX1Z1021K5igAGlCBRyoRQioRAgBo9SboDGmnQaffUbuS6XxUYsPq0VHId8/JHW7T1NS0Sy1MiUY0g8GoHYXWr6WlJaysrJTsEZBDqXVMLANSMiNJRG7WXWxabmtrk2TWNzY20sE0mQbc3qDHux/owLsfSJek3JwM4LWhTcwt+RCNhhVuZgnuGziK97+rT8Fz5PPazWV85flpWK0WHOppwcA5N04futO4nK9EKRKJYGNjA0tLS7Db7VJvgzgMThz2NjExgVQqVbMpyPWUdRfheR4GgyGr3y+ZTO5SmhJ7H4pJFt9t8uF1WXqUaQjFTc3Zs2elD7dSChlBsVdAaeNX7rGLRToym5adTicEQZDKRAghaUehyGRmpSh7/+u37i6fUeNTcfCpOBIRL4hGB53BglQiBEqFkgPaDkrpkYgcXfJCw23EWmYxZW21Wpk8KoNRI5TaklxHQRAEjI2NQRAEWT0Ccii0RlJKMTMzg0AggIGBgbJKN+QE00KhEIaHh3HixAk0NTWB4zgsLi7C5/OVbXs1Gg0un2zE5ZPpAOCaJ4YfvrGB29Nb8AW2iwaZCNHgocFOHG0PYXx8HC6XC06ns+zy51y+/cNp/OsP5yFQimRgG/7ANm4MT8FoNKKzvRlnjzfj3gtOWE066bUA6cDm0tISjh49ilQqlTXszWazwel0oqWlRVKH8vv90p7KbDZLgSK1Xkcm+2GNNBgMWf1+oVAIXq8XIyMjACA5Vna7Pev13G0Z97rOKExPT8Pv92dNdVSDXEOV24xViYpAsWjJ6uoqFhYWpIhPKpXCysoKotGo5CQAgE5NR7/OvqxZqNgQRAUOqXgQ8fAWElE/NFodNFoDNFo9NJrdnyelAhYWFsqSm6vXjIKSayo03GZ9fR1PPPEEEokEvvjFL+IXfuEXcPTo0aLHunr1Kp5++mmsra3hzJkz+PSnP40HH3yw0HlNAD4P4DKAUwBeopQ+JPvCGYy7nExHIR6PY2hoSIq6q7U5y5e14DgOIyMjMJvNuHz5ctk2sJSjsLm5ienpaVy4cAFmsxnxeBxzc3PSOqkW7W4zHrpkxrkeK7p7zuH67QBujHmwsuZDMhm/sx7rDfiNX7qIc0fTgcp4PI5AIIDZ2VnwPC8NUWtoaCjr+r78rVG88uZa3r8lEgnMzi9jdn4Z37pG0NjkwtG+Ftx7wY0GfRibm5s4efJklsOWK78KZA97O3HiBCiliEaj8Hg8uHXrFgRBkHrZcjfFB4VSayQhRMrKHDp0CKlUSur3Gx8fl6Zou1wuRKNR5ijsNYQQTE1NweVy7ZrqqAaZRjCZTGJ4eBgul0t2M1Yx8hlBcZpzJBLJalpeXl5GKpXKchIAQK/ip1LfzczqZzDS2RwKgU9J9aiEaNMOw47jkM7aaGEwGHbJzTU2NpaMyO1lo1YhKtWIzhxu89prr+Hee++FyWTC7/3e7+G9730vfuM3fiPv85555hl85CMfwdWrV/HAAw/g6tWrePe7342xsbFC/T1aAHEAnwXwswCcZV80g3EXImatfT4fbt++XXaZbKlzZK5johx5T08POjuLzwwoRSGVJ0op5ufn4fF40N/fD51Oh2g0itnZWcUD5kpBKcXi4iJSqRROnDgBrVaLhwba8NBAOrI8PhfEK0ObWN0I4zfedxKdLXdKuUwmkxSF5jgOwWAQm5ubmJubg8VikRppSwUcKaX4/Jdu4PasT9Y1C5TC4/HB4/HhJ28AJpMRPV2t8KfCGDzjgEGfXpPyNURnDnvT6XRoaGiQhr319vaC4zj4fD5pUyxKbjc1Ne27YW+FULpG5uv383q9+OQnP4lvfvObaGpqwo9+9CPce++9RT/rgxBIq7vSo3A4jLW1NbS1teHEiRNVuSbRCJbbjCXn2CJiFMZqtUpNy8FgECsrK7s2nJOLcURjERztVdHoy5w/IA+VexSqUOmUfwHiwXM8eC4OgECj1cOoa4Db7Zbk5ra3tyW5Ob1eLxnJfCVogiDUnXa12lkOrVaLp556Cr/9279d9HGf+tSn8MQTT+DJJ58EAHzmM5/B888/j8997nP4xCc+sevxlNIIgA8BACHkPJijwLjLUbpGUkqRTCYxNTWF/v7+Xf1FapAZTBMdknLlyHPJF0wTBAG3bt0CIURqWg4EAlhYWFB1PgyQ3jDOzMzAbDbjyJEju95/QghOHXbg1OHSpc46nU6qaRc3k4FAAOPj41nqO2azOes8qRSHT33hDaysh8p+HfF4ApPTi5icXsQ/P6dFS3Mjjh1qwQMXG9HmvnNPlBr2ZjabJflVcVMcDofh8XgwPDwMANJ6WG7WpB6QK/ebj8x+vz/+4z/GiRMncO3aNXzxi1/EH/zBH+BHP/pR3mMflEBaXe12xAap9vb2qjZSipMtR0ZGcO7cOVXPlRktEZuWxSgMpRSbm5vweDwghGTdWD+4yeHa61FQCgjcKmxNxcs9lFxP/VKNnohSiwqFwCfBpSKYn5+HwWCA1WqFxWKRFo14PL5rVHym3Fw99ijsxdTJZDKJ69ev42Mf+1jW7x9++GG8/PLLqlwLg8G4gyjbzfM8BgYGqpbZFDfzi4uLWFtbU9UhyXUUkskkbt68iZaWFvT09EAQBGxubmJ1Vf0haaKD1dLSomhKtRwyN5NdXV1IJpMIBAJYXl5GPB6XGo2hMeDTf/smfP6oaufmeR5r61tYW9/C9VE3fvUXzuHsod3bu3zZhkQigbW1NayurmYNe+vu7sahQ4ekht/FxUWEw2FpmFljY2PdBcyKIaePT8mxrly5gt///d8v+riDEkiryadcaqCMWJoTCoUwMDCA9fX1ktJs5UIpxezsLBKJBN7ylreo2vsA3NmYi+pJ4ij7fE3L6esBnnkhgeHpOxOYNTr1I0R3C3LlUTUkne3hOE7SWdZqtVLdfmtrKzo7O/PKzQGA2+2u5stQjNoZhdxyuHx4PB7wPI/W1tas37e2tuK73/2uatfCYDDSgaehoSF0dnYiHA5XtfyREILFxUWYTCZpdoFaZDoK4XAYw8PDOHbsGNxuNziOw9LSkqQAqCbRaBQzMzPo6elRTRilGAaDQSpdEYeATc+t4x+vrSGWkDdZWykWWxve9sDxvE5CPpQMexMbfsVhZouLi1klqxaLpe4CaJmouUbK6VE4SIG0PXcHU6kUhoeHYbfbcfnyZRBCoNVqkUioMJU4h8xZDBaLRXUnQSSVSuH27dslm5ZTPMXnvh7Humd3ZEGtqHV6JkOdUpXaI3kP02g00mA/0SnleR4cxyEUCoEQAqPRKGUbjh07BiBtICYnJ7G6uorV1dWayc2VQs2MgtJUf+59Wo8ZFwajXpHzXRHVycTA09LSUtW+Z4lEAsvLy7DZbDh37pzq5xADh1tbW5iamsL58+dhtVqRSCQwPz+PcDi/bOn0Coev/9CLBkMcF49bcOV0k+xZBpnqQLWcJyCi0Wiw7k3ime+sI5GsjpPQ4OrGz73tCO47U15PQWa2QVwD8g17czqd6Ovrw+HDh5FIJOD1ejE7O4tYLCb1+tXj5GI118hIJFJyTslBCqTtqaMg9ggcOXIk680Um5jUJLcMqBoenZgZSaVSuP/++6HT6RCPx7G0tLSraTkQFvDn/xJBJJpU/TqyUNHIq/3VVzZHQe5B5WYU0g6paBQppaCUZmWyeJ5HPB7flW0wm81SVKqWcnPFUDNaEovFZMkDu91uaLVarK+vZ/1+c3Nzl3FkMBjKERt8t7a2cOXKFcmuiD0Eapd+BINBjIyMoLm5uWoRYkIIPB4PUqmU1LQsTlpOJvOvhz+5lcR3Xg+CQo9wQo/nrwPfue6Bw5TAkQ6CBy+3wN6QP/C3sbEBj8ezSx2olrxyYxH/+O1pcFx1KiUczUfwyw/34Nxhde4HcS3JHfbm8Xh2DXtrbGxER0dHVq9fNBrFzZs30dTUBLfbvSfOWS6V9CjkokQe9SAE0vas9GhtbQ1zc3N5B7bkDlyrFLWbsfIhNi2LG0mdTodQKISVlZVdm7jZVR5feD6s6msshKo3ZP0FCXYhu/RIo8HTf/UKQgkLzh1vxlv7m9DSaIROp4MgCJLzIDoOqVQKqVQKwWBQcvwopWhoaJDmEojDbcbGxsDzPFwuF9xud03k5tSOlsgxggaDAf39/bh27RoeffRR6ffXrl3DI488osq1MBh3KzzPY3R0FHq9HleuXMlaQ6rhKIhr8sWLF7G9vY14PK7asUUEQcDa2hp4nsfg4CAAYHt7GwsLCwXLjb/+4yhuTkV3CXMI0MEf1+GNWeCN2SAsujg6Gnncf6EJfZ0NoJRiaWkJiUQCJ0+eVLV8SinLGxEYjXpwPN3JpKu3mLo7TuHX3t2Owx3Ve32Fhr0Fg0EAaSUoMdtw+PBhBAIBnDhxAl6vF5OTk0gkElL23el07kn2Xc1gmpyBpAcpkFbzjIIgCJicnEQ0GsXg4GBeQydnfLxcqtGMlUtutkIcsb61tbWrafknYzy+8VJQduS7YlRVPVKZKqQn5aY8A6E44nMBAAGsra7iOz8AbHYXjvQ14y3nm3HxuA06HZGMoug8AGmnQWx4FrMNYolSV1eXNAU5U4NZlJsrNfGxXPYqWvLRj34Ujz/+OAYHB3H//ffj85//PFZXV/GhD30IAEAI+QSAQUrpO8TnEEJOAzAAcANoIIRcBABK6U1VXgCDsY/IF0QQ5Ui7u7vR1dW16+9qrpFiJjwcDktrcjgcVl1tKJlMYmhoCCaTScpYbm5uYmVlJe/jOZ7ib/41iGUPL2Md0yDKWTC9CUxfS0JP1mDRbuNkN8E77z+6p04CADz67lN49N3A6mYEL7y6iJnFbfi2oxAECirwZQeS2nvP4zd+rhltjeqv8+FoEv/47VkcO9SaV34VgBRYS6VS8Hg82NzcBJB2Ont7e9Hc3Iyuri5pTo/H48H09DRMJpOUfa/WviwXOX13cpGzRh6kQFpNHQXRUDQ2NuLSpUsFPzQ1jKAgCLh9+zZ4nle9GSuTfE3LHo8HFosFRqMx6zV+7cdJvD5WvhxaOdR3gmvvHIV8a2Ao6MfNYT9uDk9Cpzeio70VF042462XG+GwpVPWGxsbSCaTsFgsu7IN29vb0Gg00kJot9vR3Nwsyc1lTnwUh9vYbDZVjJeakq3hcFi2o/DYY4/B6/Xi4x//ONbW1nD27Fk899xz6O3tFR/SDuBIztOeA9Cb8fObO/+t79uVwagBHo8HExMTOHv2bMGmW7UcBY7jMDw8jIaGhqw1WaPRqCooIjYtHz16VFL/W1hYKNi0HI5T/NU3/NguswI5RY3Y5lrw6hzw+pxXVolSLehoseJX/80pAEA8weHHN1Zx8/Ym1rfCSKZ4+U4D0aCj7xx++UENGhs4pOMu6uELRPGpL9xAMBTDm6NLkvzq8cMtuP9iE9qa7pTWZmYbUqkUJicn0dTUhPn5eQDZw96OHz8OSilisRi8Xi9u374NjuOyhr1VK9ugZt9EJBLZVQmTj4MSSKtZ6dH29jZGR0dx/PjxkrJklRrBRCKBoaEhtLS0oLe3N+8XT5ygXMlNuba2hvn5ealpmeM4rKyswOVyYWZmBhzHweVyweF04ssvGrC4Fin7XGWjasmLynMUVD2aiDpRMC6VwOLiIhYXF/HNawROZyN6Oh043s7jnQ+ezuptyMw2iEpKYhmSTqeTsg09PT3o6+tDKpWCz+fD8vIyQqEQbDYb3G43XC5X2TW0PM+r1hch1wiKPPXUU3jqqafy/o1S+kSe3/WVe20MxkGFUoq5uTl4vV4MDAwUzTyq4ShEIhEMDQ3h0KFDaG9v33V8tTIKouMjlhmHw2GsrKxgdXUVJpMJLpcLTqdTsn0rHgF/97wPCU6dDWNuiZKZbuIjv3IMRuPeDhIzGXV45709eOe9PaCU4ta0D9//yQxWN2KIxTlpeGguGo0eh09cxK+9U494dBvT09MQBEGa2WC1WisKPq1vBfFnfzuESPRO6Vmm/OqLLwN2mw29Xc3oP9uMC8ds0GoJUqkUJiYm0N7eLjX65hv2ZrPZ4HQ60dbWhu7ubin7vr6+jomJCWkCclNTU9UEZypFTukRcHACaTVxFFZXVzE7O4uLFy/KilRWYgTFZqwTJ04UlbAUJdrKcRQopZienpbkXHU6HRKJBJaWlpBMJuF2u9Hc3AyO47DpCeCz30zfWHtCPTfNyPbw5b8GuT0Kit4VShHwexHwezE8Cnzjh1vo7mzB5TPNeOCiCxZTesERHQZBEKT7l+M4SU9bo9HAbDbDYrHA5XKhtbUVlFKEQiF4PB4sLi5Co9FIRlKJwVe7/lKJo8BgMCpD7HEzm83o7+8v+V2u1FEQN+/nzp2D3W7f9fd8Q9GUIk4/3tjYwJUrVySRkvn5ebjdbjQ1NSEWi8Hv92NycjJ9XfFW/GiEgkd1KgBi22s4dRR77iTko0Efwnvua8KhQ4fgDybxwqtLmJjzwuOPgufTJUpagwWnz1zEB99thU5HAKcVHR0d4DgOgUAA6+vrknSny+WC3W5XlGmeW/bhc18eQTxeXGQlGAph5HYII7dnodfr0drShNZGLd420J6lBpSvt2F7ext+vz9r2JvT6ZSy75FIBB6PB6OjoxAEQVoP1cq+q4EceVSRgxBIq4mjYLVapQ21HMo1gpnNWKU+xHINYWbTspiqDYfDWF5e3rVZ0+l0MFrcgM4EkzmAWCQECtS4kaeOexT2sPSoEuc8mYhiZnYeM7Pz+KdnNejoOozfe/wobJbdRjGzMZoQAp7nJUOo1+ulbMOhQ4dw+PBhJJNJaUJ0JBKR5OZcLlfR789e9SgwGIzKEAQBr7/+Onp7e9HR0SHrOeWukZRSLCwsYHNzM0tFSa3ji2SW/vb39wNIB/Hm5+el4xJCJCW5zs5OPP9aBK/eigGkOk5C2DuL99zvwkNvyQ3g7i2CIGBmZgYmk0mqgGhymvBLP3MMwDGkOB6vDm/g+sgamlp78Ks/07Ar/qfT6eB2uyVhjXA4jEAggNXVVWi1WilrU6wfYGxqHX/9z+NIplKKrj+VSmF5ZR3LK8CN0VW4nA709bbgnnNNONlrzSpnAwoPezMYDFK2oaurq2D2Xez1U5J9V1tpKBwOV3UocL1RE0fB6XQqUvhRaqTyNWOpfQ4AiMfjuHnzJrq6uqQGM7GBJ7dpWcRqpDBpAojqbGhwuUApRSqxjVQ8BIHnoanyZMN68cBrh0xHQaW3xWR2QOc4A17IjsDkalKL8quZjkO+bIPVakVzczPa29ulIT2i4yAuBk1NTTCbzVmfrZpTJ8PhMMsoMBg1QqvVor+/X1GZhU6nU6yaJ0511mg0u1SUcqkko5BKpXDz5k243W709vaCUgqPx4OlpaW8j6cU+NL3QpheSlZNfCPiuY0nfv4Izhxvq8rxy4XjOExNTcHlcqGtLf+16XVaPHC5Aw9cludEEkJgs9lgs9nQ3d2NRCKBQCCA+fl5pFIp2Gw2uFwu2Gw26R54Y2QZX/rWVMVKjJRS+PwB+PwB3LgJGE0mdLU348GBLlw+kb2m5GYbeJ6Xhr0BgM1mg8PhgMPhyMq+e71eLC8vgxCCxsZGuN3uktl3tQeSJhKJmkug7yV7PnAtH0o2t+LANpvNVrRBOhelhlDsschsWl5fX0cgECjaTW8yEvzeoyZE43H8eDiCsUWCoGCHweTcuf4okrFtCFwSRKPJOA6FOrvZ+nUUqjKURbaaVOXvi9HSiOZD98Nq5GArIhOda6AypVcznVWO46RhQ5nD3g4fPowjR45ISkvT09OIx+NwOp2S3Jya8qjRaJQ5CgxGDTEajYrsodJAVzwex9DQENrb29Hd3V1ynSzXURD7Ho4ePYrm5mbwPI+VlRUpmJaP772ZwMxyApSqH9iiPI9EYAy/+/gltLfuLrHaS5LJJCYnJ7Nq+quB0WhEa2srWltbwfM8gsEgfD4fFhYWYDabMbmUwLVXNlRXuQKARDyONS+HeKr4pjpfiVI0GpWqNQwGg9QQ3dfXh0OHDinKvquZcQdQMDB8UKlLR0EuxZqxSqGkWUtsWr506RIsFgs4jsPq6ipCoRA0WZv7wlhMWjw8aMfDgwDPC7gx4cGNaR5bnAV6e/raBSGFRNQPPhlT9FqKodTwClSApkBUZ8/GKCh5CTWaCGlqaEZL372wmzg89fMCtFr5F1ko21Bo2JtGo5Gchra2NnR2dkIQBAQCAXi9XszMzCCZTMJkMkGr1VY83CYSiRTt72EwGHuLVqtFSmaJiKjMd/LkSdkb0nIy7uL0aLFpOZlMYmFhAcFgsOg69M7LRpzuAX4yGsPCOoftKAUoQCoMfHCpOLTxafyX33oLrJb6iv7GYjFMT09LgztrhViG5Nqpbvjm927jez9Zr9okZauzC7/w9qN4i4Jp0fkCazzP5x325nK5Cmbfxd4Gi8WiasZdXK/vJmqmeqQ2W1tbmJycLNiMVQo58m9i03IwGMzbtCzXSchFqyUYOG3FwOn0z/Orfrw0msSCxwCTtQmkQavejaj4+mr4BdjDZuZKMNvb0dw7CKcliafeQxU5Cbnk06TOHfYmlimJC64ov2q1WtHY2AgAuHHjBjQaDSYnJ5FMJuF0OuF2u+FwOBRHPliPAoNRW/INJS2GVquVNRBtZWUFi4uLUpBLLkozCuK8IrFpORaLYXZ2VvbQtg63Ee97KL2ZD8c4/GQ0homlBHxBCp6ngEaraK1NxrbhNq7jw089AK22OpHfLz+/hq0Aj9OHTLjvghMWk7ztVDgcxuzsLI4cObKndvar3x7Hi2+sVi24ZmvswfveeQT9JyrbZsoZ9iaWKOVm32dmZhCPx2G1WsFxnKqZ97uprHvfZRQyR9qXkpArRilDyPM8RkZGYDKZcPnyZRBCEIlEsLy8DJ7nVR3e0ddhQl+HCTzP48bQTUxvOjC7fRhqlMcQpccQKAoLTqhtUKrQzCzzmOV+dBZnF5q7r6DJlsBvvptCq1HXWPiCHFw2reQ05MqvAumNfCwWyxr2FovF0NbWhr6+PqnWc3NzE1NTUzCbzVJ0RU5dpVzpNwaDsTeUivhTSjExMYFYLKZISERE7hwFQRAwPj4OjuPQ398viXvMzc2VXe/eYNbhnQM2vHPABo4X8OZkFCMzKWz4OCRSFCAakCLBj1hwHW3Wdbzrvg54PFtwuVyqymxynIC//JdVbIbTjtdLt4Ef3wrArI/jSLsO919woL05f1Y3EAhgaWkJx48fr9mgsXz887dv4cXXV6t2fLv7EB57Vx/OHVJ3i1lo2NvW1hY2Njag1WrR0NAAl8sFt9stZd/X1tawvLyM69evw2g0SuthOdl3QRDuKicBqGNHId+cA7EZS6vVlmzGKkUxQ5uvadnr9UpTB6tRm5ZIJDAxMYG+7nYMXG7G0/9MkKysryiNwuYwqtIcAnnnkodSKdMqHBUA0NDYi6bOS2hzxvHvfkY9R1Hk5kQQz7wQA0DhtKRwuteABy854bSnN/eF5FdTqRQ2NzexuLgoqYiIsxnEWk+v14uxsTHwPA+Xy1V0uA2TR2Uw6pti61cqlcLQ0BCcTicuXrxYlp2Ss8aJ53G5XDh58iQopfB6vVhaWlItI67TajBwqgEDp9JTnEemfNiMtmBli0c4TgGqAcnIGER8C3josgU/+9DbEYvFEAgEsuYMuFwuWCyWsm13PMHhs/+4jgiXnZ0hGg3ivAW3loHRpSh08KO9keLKqQacO5puGt7a2sLm5iZOnjxZ9rwctbhwqhO+bR4Lq0GEwomCMxvKwdl8BL/ys7042VP9adj5sg2hUAjb29sA7gx702g0cLlcOH78OKLRKHw+n5R9F9dDudn3WCx212Xc69ZREA2h+MGJm/eOjg709PRUfPxCGQWxafnUqVNobGwEpRTr6+uS7m81PMlIJIKpqSkcPnxYKqNS6zRKr7doRF71BEA15FHlOTo8n0AqGYXOYAEhmpITMe3uI3C1n0NPUxyPv5OoPp7i+tg2/umHcRBN+iu5HdfjlQng5fEQDJot9LQSvOWMDacP23ZlG8TJ0BzHIRKJ5B321tXVhZ6eHmm4zdraWsHhNqz0iMGoLUrtdCFHQZyAfOTIEbS2tqp1ebsQ+wMPHz4sNcmura1hfX1d/YZkSrG0tIR4PI6H3nJMKh3xbafw8mgMs6tJ+MMUse0F/PI7W3HlfDeA9CbRbDajvb1dmjOwurqKWCwGu90Op9OpaBKwfzuJq1/bAofiJVyEEPAwYdkPLL/M42s/2oTNGEdXYwzveevRPXcSAOBojxNHe5wAAF8gjhdeW8LErA9b/igEXoAgd0J0Do1tx/H4e7pwpKM6TsLzL2/ixmQSXW4NBs7YcLKvoaj8ajKZxMbGBra2tqQ+BafTidbWVnR1dZWVfQ+Hw4rK+A4CddujIBpCvV4vNWOJm3c1yGdoxTkMYj2nqNggKtFUw0nw+XxYXFzEyZMns1KRKle0yKeWpUd72KNgNJqQSoSQjPsBAFq9BQaTHRqNHlQQshwBR8sJOFtPw21ex719W/D5GuF0OlWrdXx1NIB/+XFSchIyIYQgRc2YWQdm1lPAtXU02TicO2zC/ZdcMOoIZmZm0NfXl9XjABQe9uZwOKThNuFwGF6vVxpuc+3aNYTDYdmOwtWrV/H0009jbW0NZ86cwac//Wk8+OCDBR9PCDkH4LMABgH4APwvAP+D3m3dYQxGBeRbv8TNzvnz56taOig2LZ87dw42mw2pVAoLCwvY3t5WfY3keR6zs7MwGo04duxY1vEbHXr83P3pTXcixSMUscHtzF/OkzlnQGx8DQQCWFxczBr6VWgTv7gexRee2wbVKC9VIVoDwpwB45t23H4mBLN+q2SJUi1pdJrwyMPHAAAcx+PVkU1cH13D6kYY0XhqZ50ubZ4b20/g7eeSMNF1RCLOijI3+Xjux5t4bUoDQiyY8wBzL6aA72+gsYHD6UMm3Hs+u09EzDZ4vV74/X4cP34cgUAAPp9PGvbmcrngcDhw4sSJgtl3t9sNu90uvZa7MeNe9xmF5eVlLC0t4fLlyxWruWSSmVGglGJmZgbb29vSHIZkMomlpSUkEoksJ4HjKf73syH4fZu4dMyCt15pgclY3tu4trYGr9eLM2fO7DJQ6mUUlJZJ7e/9mtz95qXTHXj8fQP46rdHsbCewOLSGmKhdQAAIToYzU5o9WY4mo/B2Xoap7qieN/9DoRCGvj9fiwvL0On08HlcqGxsbHsetOXhwL45itJEI1Mp0NjgDdiwA9GgBeG/NAjjN62Bry90QT3Th2y0mFvfX196OvrQzKZxPDwMGZmZvDzP//zGBwcxG/+5m/ivvvuy3spzzzzDD7ykY/g6tWreOCBB3D16lW8+93vxtjYWN6sHyHEDuAagB8CGABwAsAXAEQA/IniN4/BuEvJdBQopZibm4PX662ob08OS0tLWFlZQX9/P/R6PWKxGObm5hCLqafUJ5JKpTA5OQm3210yO2LUa2F0yrOhGo1GcgzEzWEgEMDExIT0N5fLJe03RqeD+KcXoyDaypWTdpco+XCsU4vHHq6P+Q46nRb3X2rH/ZfaQSnF60OzeG14C56ggMB2DAKleQN8Ld1n8MGfa0WzQ8jK3IgD1Ox2e0WBtW/+cAPXZ7S79zNaA3wxA348BvxoNACTLo6+Ni3uPWdHb7sVXq8X6+vrOHnyZFafjjjsbXV1FSsrK1nD3sSqFY7j4PP5sLq6ivHxcTQ0NEAQBHi93rsukFa3joJGo8H09DQopWU1Y5VClKbM17QcjUaxvLwMjuOynIRAWMCf/0sUkWgKgAsv3gJeGPbArIvgZI8e77inpWBEIxOxIZvjOJw+fTpv6lNDVJqjoLT0qAaqQYpR8hpkfp8oFbAwP4P3/9x5WK1WUEoxMunFD15dwO3pZWz7PQAoGjvO4UJfBP/mLWkjZ7fbYbfb0dvbi3g8Dr/fj9nZWUlpKHeQTTF+9KYPz73Ky3cSciAaDTjYMbMJzDybABGCaHXyuHjCgnvOOGE06AsOe+N5HslkekicaPQMBgM++MEP4otf/CJeeOEFjI2NFU2Tf+pTn8ITTzyBJ598EgDwmc98Bs8//zw+97nP4ROf+ES+p/wqAAuAf0spjQEYJYScAvBRQsin9toYMhj7BdFR4Hkeo6Oj0Ov16O/vr5q2O6UU4+PjSCQSuHLliiTuMTs7W/GQrnxEo1HMzMygu7sbTqdT9eOLEEJgtVphtVrR2dkpZWAXFxeRTCYx7zHj+pwDRKu+80UIAcdrceFY/ZWxUEqxuLiIJhvw24/fk25Sj6bw4uvLuDW1hQ1PFByXLlHq6DuPf/8LLWh2EABaNDc3o7m5GYIgIBQKIRAIYHl5GXq9XnLQlATW/uUHG7g5pyuZnSAaDRKCBROrwMRqAuC3YTNGMXi2Fbl7KTnD3pxOJxwOB1paWqTs+7PPPotPf/rTCAQC+PjHP473vOc9BfuADlIgjZRYm1VbuBOJhOzHJpNJvPzyy3C73Thz5kxVSn5WV1cRiUTg9XqzmpZ9Ph82NjZAKc0yunNrPP7Pv4aLGkVKKbRCCH1twENXmnC0e7dsK8/zmJychNVqLTr45s++YUQ4VrnRTyVCmHz9C7Iff3zgN6A35k+r6U12WOzqRT5ufPu/y3oc0ehw+MKjsh47O/RPiIXWSj7u7NEm/O5vvqtglsrjj+G7Ly+isbkFDw+6Sh6P53lsb2/D7/cjFApJaU2Xy5V3s/2D6158+3WhqHpHJVA+jt97fxPcrmyDnNkQbbPZ0NLSAgCS1K9Go8EDDzyAGzduFI0AJZNJWCwWfPnLX8ajj975bH77t38bo6OjePHFF4Ec60wI+VsATZTS92T8bgDAawAOU0rnKn7hDEZtUWWN5Hle0YZbEAS88sor0Gq1WeuXmrz88su49957wXEchoeHJflJSqlUMlto/zC/EkF3m7ksadLt7W0sLi7iyJEje1oL/o0XN3BjRls1Gw0+jn/3Hie62urLURAzVBqNBr29vXn3KJRS3Bz34OZEAO995xG4Gkq/R/F4HIFAAIFAABzHSX0iDQ0NBR3cf/7+OkYW9BXvAanAocGQxNEuHe4770RLY35HJTewRinF4cOHpUZnjUaDa9eu4Xvf+x4eeOABfP/738fnP//5vGvlPffcg/Pnz+Mv//Ivpd8dO3YMv/RLv5QZSJNeGCHktwB8EkDrTiANhJD/AuC3AHTtZSCt7jIKoVAIIyMjcDgcaGtrq5oMVTwex9LSEi5evCg1LW9sbEj1a5k37mu3efzLS0GghK40IQSC1o7ZLWD2X1Og3ALaXBzuPefAwJkmJJNJTExMoL29Hc3NzUWPpV6PgopzFFS8TauXuZB33KamxqKlbG6XGe9/zwnZZ9VqtWhsbJTupWg0Cr/fj/HxcQCA0+lEY2MjLBYLXnjdh2s3quck8FwCj73NsstJAO5EUux2u9SnwPO8VIbH8zxisVjJyKTH4wHP87tKAlpbW/Hd73630NPaACzn/G4j42/MUWAwZBAIBBCJRDAwMACXq3QgoxzErMHw8HBW0/LGxgZWV1cLbCCBL14LYWY1CS3CcJoTONlrwAOX3LJKdDc3N7G1tYUTJ05UtYSqGJQCf//cKmY2jSBVahbUClH81iPNaHLW1yA4QRCknpCurq6C+y9CCC6dasalU8X3MZmYTCa0tbWhra1Nmgvk8XgwPz8Pi8UiZRvE6pF//O46bi1V7iQA6WBjhNNhaB64OReBDl5cPqbHzz7QkvW43HWvq6sLTqdTyjqITfsGgwEf+MAH8IEPfCDv+ZLJJK5fv46PfexjWb9/+OGH8fLLLxe6zHsB/Eh0Enb4NoD/AaAPe7g+1sxRkDNQZmNjAzMzMzh//jzW19cVT4aUy/r6OpaXl9HW1obGxkbwPC9NWs5tWv76S0m8eitU1nmIrgEbIeBfXga++sNVmIgfl0/YcOJE6YZs1eyT4tKjGjmtik6jpPRI3sOMhuopT2Sms7u6upBKpRAIBLCysoJXbiUwvtFWRSchiUcfMuPyqcKbB5vNlrXBz1SJ+Iu/+AupKVpOTWmuERf7IYqQ+wmRAr9nMBh5EPsELBZL1ZwEIG0Pbt68KQ015TgOi4uLUjAtl3iC4q++FYA3lC6b5aGHN6bHS+PAy+MBNBjiONQK/FS/G005JbqUUiwvLyMWi+HkyZOqCUWUwzd/uIGZTUPVgpRGEsHvfKAdVnN9xWkFQcDU1BRsNhs6Ojqqei6dTpcVWItEIggEAhgfHwchBK9PmTHvd1TlM0hL7xMMni0+qLe7uxtut1v6WRAE+Hw+fO5zn8Ov/dqvFX3uQQuk1cWdKjYTBwIBDAwMQK/XlzVCXs55ZmdnEQgEcOLECfj9fiSTSaysrCAWi2U5CbxA8b+fS2B+NaLKuTU6E5Jox0+mgZcntmDWhfGW0wb8zP35pV5V+34oPVBqG9TYUEYTtFLk7wuVtSjIyyjodLVbiPR6PZqbm3F9kmB8E1WLUglcEr/0ViOunC7uJLS17S4fo5Tib/7mb/Cd73ynZNkRALjdbmi1Wqyvr2f9fnNzs1jj4TrSBi8TMaSzAQbjLkXOhkgcbpZKpTAwMIBXX321atcjbtoHBwdhtVoRj8cxNzeHaDSa91o9AQH/5zkfosn86waFBqGkBcNLwPBiGGa9Fx1ODg9cbER3u6WgstFe8PNvbcV9FxL48ZsBTK2kEEkay+4jy8Wmj+DDj3XUdP2RA8/zmJqagsvlqqqsbj4IIWhoaEBDQwO6urrw988tY95vrtp9QIQEfusXG4v2k3Z1dWU5CUC62uX9738//vt//+945JFH5J3rgATS9txR4DgOIyMjMJvNuHz5spT60el0qjZJiU1fBoMBly9fllK3YlNxppMQiVP8+b9EEQjKGz+vFI1Wj/W1dXxzcbmgo6DRqHNfKN3wf+gX9NDqQvjRUBwz61okqAMajfrRd2WvTomnINdRqO1ixPMCZlfjIJSAwqi+jCCXxCNvNWLgTOFsVUNDQ14nAQD+/u//Hl/96lfxzW9+U1ajmcFgQH9/P65du5bVo3Dt2rViRvQVAJ8khJgopeKX66cBrAKYL3lSBuMuJZlMYmhoCE1NTTh16lTVNlHiROd4PA6XywWNRoNoNIrZ2VmkUqm8z5lc5vCP3wuAozLXGqJBjDNjxgPMfDcFrbAGlwW494IV3Sq+lkpwO41479vSG+ZEgsMrIwEMz8ThC+vKbmxubYjiPzxSuJynUq7fDuDbr4bR3kgwcLoBZ47YZZ2L4zhMTk6ipaVl1+a41qRLviyqzykSIUICH3qvC815ynJFOjs7d5WGh0Ih/PIv/zI+/OEPy3ISDlogbU9Lj6LRKIaGhtDT04POzs6sv2m1WkUN0MWIx+MYGhpCR0cHurvTpigWi2F6elpSVRC/UKseAX/xrTCSyfxGUQ08KzcR9s3h7MnCZnGvehQoT9HSbMAjDxkQj8cxPPIGthKdmN4wIiaoWE9ZpRInvU4HOe6drsapba1Wg6ceTTcczq9G8aObAcyu8ohzlUereD6FRx40YrBMJ+GZZ57Bl7/8ZTz77LOKmgc/+tGP4vHHH8fg4CDuv/9+fP7zn8fq6io+9KEPAQAIIZ8AMEgpfcfOU74E4I8BfIEQ8nEAxwH8AYD/zhSPGIz8hEIhDA8P4/jx47s2MDIilLLhOA5DQ0Ow2+04f/48RkZGMDExgUQiUbBf4McjCXz/eggU5WegeY0FnrgF33wVeO7VTTgtcZztM+K+S24Y9Hsey4TRqMNDV9x46Er6/R6aDOKN22Gs+Qh4UjroQylFi3kLD5zksLKCiqdD5+PHb/rw3Td5EI0Fiz5g8cc8/unFDTQ1cDh3xIS3nHPm7RFJpVKYmJhAR0eHajOqyuXVUT+m1/WoVjEDERL4D7/gKtjIDAAdHR2SwIdIJBLB+9//fjz55JN4//vfL+tcBy2QtmffQnFoy5kzZ/LKn6lVehQMBjEyMoKTJ0+iqakJlFJsbm4iEAigt7dXUm+wWCzYirXiudcpqFCd3ghBoNicfxnxyCYunjmM//Qf3lbwsWo5CkqNkbATkQ+Hw5iensaZ08ck+cyxVeD7E+pcV7UyaSmZWai9TP32dVjQ15HekIejHH78ZgAjs1H4wnrF0SqeT+EX79dj8FxpJyHfvfDVr34Vf/3Xf41nn31W8TTmxx57DF6vFx//+MextraGs2fP4rnnnkNvb6/4kHYAR8QfKKXbhJCfBvDnAN4A4Eda9u1Tik7MYBwwCtlpsW/vwoULu4Y8ibOA1KjnF4N2fX19aGtrA8/zcDgcuHXrFvx+PziOk5pNrVYrCCH46g8jGJmJQ82dHQ89vFE9XhwDfvDmPN73UxacP1XdenklEEJw8YQDF47bsbCwgHVvBPOeBsyv84jzpl29Z5QKuHiIw3sfOolUKoXt7e2KpkPn49uvbOGV22RXwInszBh4cRT4wbAfFn0CRzp1ePBiWvUnkUhgampKatjda+4568KlEzxeHd3G8HQUnpAO0KjU0C4k8Js/70JrU2Enob29fVe0PxaL4QMf+AB+7dd+Db/+67+u6JSlAml/+Id/iP/5P//n9/ZDIK3mjoKoz7u+vo7+/v6CZQ5qOArr6+uYnZ3FxYsXYbVapY71YDAIQkjW0JXvXk/ghRtRVGsDy3FJbMz+EKlEGO962yX8+vv6iz5+zxwFgSIQCGB+fn7XtOg9Kx1VcGJB5vdJp6t2D4Y8Giw6vOt+N951/060aiqEV0dCWPII4FG8TpPnUvj5+3R4y/mmgo+xWq0FnYRvfetbuHr1Kp599lnY7cUbuwrx1FNP4amnnsr7N0rpE3l+NwLgp8o6GYNxl5Cvby8XcY2s1FHw+/0YGxvDmTNn4HA4wHEclpaW4PV60draitbWVnAch0AggPX1dYTCMbw03QpvWFe1RSG2vYrT3SmcP3W0KsevBEEQMDMzA5PJhHsu9+ItO+9BKJzCS0N+3FpIIhTTA0SDt54jeNtAOpOr1+uLTod2uVxZqj9y+NoL6xia15UUxyAaLWK8BaOLwMhCWvXHYQzj3vPNcDgc5b8ZKmPQa/HgpUY8eCkd+JpaDOPV0RAWN3kkqam83kkhgd/8eSfa3IWdBFGNKZN4PI5f/dVfxSOPPIIPfvCDik9bKpC2trYG7JNAWs3mKHAch1QqhbGxMVBKcfr06aIGzu/3Y21tDadPn1Z8LrFp2e/348KFC9Dr9UilUlKDVq6yEQD8r+cN8GzziAY94LkUyI6uvBok4yFszP4IVEjhNx57EO+4/1jJ53zhuwaseCuPFAkCh9svf07243//ybdCS+I4efLkrsVpfM2J7473FnimMnguiaHv5R3KtQuNzohD594n67FTb/wdkvFA8eMRDf7wd96FM8fqJ1KVCcdxGBsbg8naiqE5isnFJEIJAzTaO58Hz6dw/4lt9DTGYDAYpJkNmY6d1WpFe3t73vv429/+Nj75yU/i2WefRVNTYUejQva2K5HBqD6qrJGUUmkAoti3Z7FYcPz48YLr0I0bN3Dq1KmiMs+lWFlZweLiIi5dugSDwYBkMom5uTlEIvlFPLYjAv76W34EY9X7aod9s3j7ZRve/ZB8eepawXGc1PRbqJQTADieh8efRJu79GeTKacdCASg0Wgkp6HYZ/vFf13F1Hrl/W6UT5YsUaoHAsEkXh4OYHwxiWBMD6It3TtJuTgeOu1BX0c6e2Oz2XbtO9va2tDe3p71u2QyiccffxzvfOc78eEPf7iaDfb7Yo2s2R2RSCRw/fp1tLa2FhzikUm5GYXcpmWNRoNYLIbl5WWkUqm8TgIA9DWFsenVwmJPbx55LoFELAA+FQchmrKVaqKhDWwtvAatVoP//H+9G2ePt5d+EgC11DOV3uAerw9v+6kr+Z04VW9pBapHCk5cKkOnIVr89hNvr3sn4f/f3nmHR1Wlf/xzZ9J77xBI6L0JgiIoiCIlQYq6q6jrWhfXXds217Lq/tZ1dXVd29pdsZEgVVZFFAQU6R3TSEJIz7RML/f8/ogZCWmTZCYF7ud58jw6ucw9U3Le8z3nfd9vWloaMTExDPlxv8HmcPHtIT0H8kxU6yQWTA3i4nENgdRqtaLRaCgsLHSnCKSkpLR6krBlyxb++te/8umnn/pSJCgoKHhI499pYwpQenp6uy0qu3LqLoQgLy8Ps9nMpEmTmhQtNwqWsympdPHBF1psLt+dxhprj3PtlelMHOV9A7muYrfbycvLIykpqd2iXz+12iORAM3badvtdrRaLSUlJTgcDiIjI92L3MZazzfWlnNaF+yVA52WUpQmDw9i5qSeLWw+m6iIAK66OIHJtbVUVlZhIpmD+WaqtCpkVQunBbKdWxdGkxyX1OT0JjAw0J1N0r9//2YiweFw8Itf/IJLLrnE1yKhz9BtQqGiooLMzEyPq+o7MwnabDYOHDhAcnKy2yLbYDBw+vTpZk7LZ3PFBQHMmSQ4Xqzhu2MOKnRBBIcl/Nhz14HNrMPlaPDB8LQHvqHuJJqKg4QEB/P4/fNJjvc8vUMleeswp2OTevrAAa2e9PSFP5e22qOqVWruvXUO40eltnpNT3K2SDiTQH81MyfGMHNi81qEoKAgUlJSSElJweVyYbPZEEKwa9cuwsLCiIuLIzY2loCAALZt28YjjzzCxo0b2zX9U1BQ6D4a6/ZGjRrlUTqIn59fp4RCo9NyWFgYY8eORQiBXq+npKSkzef75BsTVrtA8kF5l5BdWDXHWHHdGNJTfecN0Vkam5/079/f56k6AQEB7pQvl8vVxJgsKDiET/f4obd1LlW0PSSVGotDzaB+vcstupHa2lqqq6sZNmwofn5+TBnVEA/LKs3sPGygqMKJ1RmEJJzcMj+C1IQGsXZmmnmjQ7RWq3UL5Pj4eMLDw5FlmVtvvZWJEydy//33KyLhR7pNKAwcOLBD7U47KhRaKlquqamhtra2mdNya0iSxIiBwYwY2PDlKqvWs/2glZM1AUihMUiSGiFk7BY9DpsRIWRUrSyqNeWHMNQVkhAXzV9/t4CQoI4V5ah7qEYB0cb13vyb6VBtTkdu3LJQUKv9+f2vrmDk4NaPi3uStkRCRwgLC2Po0KHunaf6+npqamp45pln2L59O3q9nrfeeqvbe2UrKCi0jizLlJWVtVm3dzZqtbrDLcQtFgsHDhwgPT2d5ORkZFmmurqa06dPt/tv78wO5fujKo4W26jVyThdAlTqLi+mXE4bwvgDv799ClHhnU+j8hVGo5GioiIyMzM73PChq6jVandaqcPh5PmPyjE5w9r/h51Ekq3cnhXTZtFvT9EoEoYMGdKsjiMtKYRlSQ3ixmx1YrG6WnS9liSJ4OBg0tPTSU1NxeFwoNFoKCoq4uabbyY0NJTMzExWrFihiIQz6J3JaHRst6SxM0Rj0bIsy5SXl7uLljv7gaclBHLt5Q1fNq3BxNaDFvJPqxFBEQSGNOx62G0GHFYDssuFSq1GlgU1pd9hqa9kaGYaD909B7W640e13t21kfA01UfIre/Ie1UndOTiDhmuNX9mP78A/nzPVQwe0LuOUhtxOBwcP368yyIhODiYlJQU9/ddkiQiIiKIiIhg2bJl7N69m7vvvpuXXnqJJ598ki+//NJbL0FBQaELqFQqxo0b127q5Jl0dDNNp9Nx9OhRRowYQVRUFC6Xi7KyMmpqajyKkYH+aqaPC2P6uDBcLsHBfDMHC+1UapzY7AIkVYcd5x0WA2FSGfetuBj/DhTxdoRanZUPv6hlQKI/0yfEEBnmuS+QTqfj1KlTDBkyxGMB5wssVif/+rgSq+w7kaAWFu68Oq7FBXZP05ZIOJuQID9Cglq/Jj4+3t2O39/fn8TEROLi4pg2bRrQYLZ2xRVXsGLFinYdmM8Xeq1Q8GQSPLNoubEzhMPh4PTp024HSW+pwugIf7KnN0wwhnoT674+QaUpDtkvhoDIhnxKh91ETen3WOormTw2g9kXJnDs2FGio6OJjY3tUNGZt04UoGUPi9ZwtXmdNztC+apGoel3JiAggL/ct4D+Kb3vOBt+Egn9+vUjOrrzY2xMP2rp5Gzfvn3cc889rFmzhoEDBwINO5gKCgp9l44IhfLyckpKSpgwYQJBQQ2tMYuLizEajZ2KkWq1xIRhoUwY1rDDnn/KwvfHrZyudmG2yR6JBkt9NbEBZSyaNQCDXk9kZGSHOv54QvFpE+98ZgBVCHVFsKdQT6BkZWCymovHRpKW1HqKTU1NzY9pLs0be3QnTpeL5z+qxCZ8lw6kxsLdSxM6JKK6i46IhPaIi4sjLa1p/Yssy9x3331ER0fzzDPPoFKpeOKJJ5QYeQbdarjW0evbWty6XC6OHj2Kn5+fu2jZarVy6tSpNouWu4rZbKaoMI8FlwxsaCXncrH7WA37C2TqnKEEBIZxXfZUFswaCTQsBLVaLcXFxdhsNqKjo4mJiSEsLKzN8XnPcA0a6hQ8+9J3W7veDtynQyOSf7o6KDCIJ3+3sEO1IR3ln2/s4GQVZKYnMHVcIhOHhaP2UOV5UySkpqa2KBIOHTrEXXfdRW5urlskAF3q262goOB9OrKhA55vpuXn52M0GpsVLXvL0BRgcL9gBvcLbmjxfKyM/YWgMQdTb254PWf3+DfpSpk6zI/sK2ZhMpnQarWUl5fj7+9PTEwM0dHRXV6cH8jTs+YbK5L6px1ySVJhJ4QfKuBEuQW10JESK5gy8icnYyGEu436sGHDvOJT0RX81GruWpzIjgNajpfaMVgDkFTeW7oFYObua5IIC/bNctBqc3a6k5I3RUJsbKzbcLcRWZb5/e9/j7+/v1skNKLEyJ/otScKbdFS0XJ9fT1lZWXtFi13hcZOBEOHDnWfDvipVUwdHcbU0Q2TssE4hMjwn+oR/P39SUhIICEhAZfL5e5FbTKZCAsLIzY2lsjIyGZj7kS2UqtIksrjdXkbtcBeFi+eExkimNC/iuOnJEzOSFTq1o9GG4uZQ4JD+NsfsoiL9l1O6dOvbSevuB6AI8cMHDlWwFv+gaQkJzJuRDwzJsQQEdryn1h3iIRjx45x66238vHHHzN4cPsteRUUFPoO7QmFM9usNqY1GQwGiouLvWJmejYul4uTJ08SHebPTQv6I0kSunoHO49YKDhtR1svEDIYtYUsmpnERZMGAA11VWFhYfTr1w+LxYJWqyUvLw/AvbHW0bSfr/fU8vUh0WYLTUmSkKUgyrRQtt1F7tYqYiOcpMdaGdIPhgwZ0msWixFh/sy9OIG5NJww7D6q50CemWpD10zJglRm7rkmyWctUU+UOsnZokMlOYgLtzF2cCiTRsR6lI7tTZEQExPjXis2IssyjzzyCDabjVdffbXXfNa9kT4nFM4uWoaGI8LGPEtffdiVlZXU1NQwcuTIVnc6JElqIhLORq1WExsbS2xsLLIsU19fj0ajoaSkhODgYGJjY92GK2p19xvxSUBQUPccPYoOnBOo1RJzp0YwdyoY6uv5bPsxqsyJaK0RqPya5mwKZEJDQrh50RCqK0pw2hp2pwIDvZd3KYTgqVe/ofBU817jToeN0tJSSktLWf+ZipjYOIYPSmDmpHjSkxuCnbdEQmBgYKvpRj/88AO/+MUveP/99xk+fHin79EW27ZtY//+/UyfPp0JEyb45B4KCgoto1arW21larVaOXDgAP369SMlJQVZlqmtreXUqVM+GYvD4SA/P5+YmJgm/gJR4f5cNbUhplhtLr47aiE5ahBDM1quFwsODnbXWjW2CS0uLsbhcBAVFUV0dLTbGbo1Vm+p5FCJX7NTjHZRB1BnCqDOFMLeYifh35czPD2A6eOjCQ/tPSk5fmo1U8fEMHVMQz3bD8X1fHeknlO1AqcI8jiTwl/oWTxNwmY1EeAf7vW109FiJ6u/1iGjwiUCqTAEUrEXPt9bS0SQlUEpKqZPSCAirPmaqba2lpqaGq+IhOjoaLfJWSNCCJ588klqa2t58803fbJuPJfiY69NPWqJloqWKyoq0Ov1Pks1EkJQUlKCzWZr1ySuI6hUKiIjI4mMjHQbrtTV1XH69Gn8/PywWYcA3pmcJJWq/cwjSWLp/AvJTG+rZaYXxUsHjtgbP1ej0UhRYQHzZgwhJKQhXzO/VMu3x2yc0gQiVJFER4Tz9z8uJDQk0O0vUFBQgMvlcu9OhYSEdPq7IoTgry9vpfi0xYNrZepqq9leW8327yA4NIKM/gn0i7MzY1Jal0VCampqi9/HwsJCbrzxRt59911Gjx7d6Xu0hdlsZteuXWzdupXf/e53TJ06lXfffbfZ0a6CgoJndHROau1EoaWi5dOnT1NdXe2TGNnYOrRfv35ERUW1el1QoJqZE8IAzwpyz2wT6nQ60ev1VFZWYjabiYhoMNCKiIhwL/KEELy1rpxT2q77C0gqP4wOP3YXwPd5eoLUVjJS/Jg+PpJkD/0RuouhA8IZOiC8Ie3r6EkOFrqoMgRjdgS2KpYiAsz8alk/zEajO1Ois+7QLXH4pINPtuoRLbRnl/FDZw1jTxHsKTIQ4mclJcbFRWNjGZAa1kQkdHW91ZpI+Pvf/05JSQnvvvuuT1LLzrX42G3OzGc6T3rKzp07mTp1KgAnT55Eo9G4nZadTienT5/GaDSi8qKL8pm4XC7y8/MJDg6mf//+3dYuy2q1svF7FScqvNOv+cSuN3A5zK3+XiWpuPXnM5gxJbPVawAKqiP439GBbV7jKQ6bkcNfP+PRtYlxYfzhtskUFRUxbNiwVo+ha3UOwoIhKLC5wHI6nWi1WjQaDRaLhYiICGJiYpoEmvYQQvDEv7+mtNLq0fVt4edhilJLBAQEkJaW1uIEV1JSwrXXXssbb7zBpEmTujzOttDpdPj7+zNv3jwA3nzzTTIyMs68ROkvp3Cu47UY6XQ6O5QSVFdXR01NDcOGDXM/VlFRQXFxMWPHjiU4OBi73U5JSQkGg8Fbw2xCYypTd7YOlWXZbaBlMBgICQkhPDyKD76yorf6ruBXuJwsmBbAxOFRPrtHZxFCcPLkSdRqtXutYrE6+fawjiOFVjQmPyR1w859TLCZu5akNEn/ac0dOjo6usNpXwcL7KzdbmhRJLSHGiuhfjouHBXL5NHxneoY2UhUVBQDBgxosm4TQvDcc8+xf/9+PvjgA58WqXsQH6GPxMhenXqkVqtxOBycOHGiWdFyWVkZdru9RZEgRIO9eb1FZtrocMYMjujwIt9ut/PDDz+QmJhIQkKCN19WuwQFBRER4QcV3nm+troGqdV+3HfrHMaNbN+p2Ls1Ch0oZpZdFBUVMXz48DZTiOKiWv+j9/PzIz4+nvj4+CZpX8XFxQQFBbVbQCeE4LF/fcXpau8UAJ6dohQdG8fIIclcPzcZVRtvdFsioaysjOuuu45XX33V5yLB5XIRFRVFfX09e/bs4R//+EeTnZuDBw8ybty4O4FCIcTnPh2MgsJ5yJktxIUQFBQUYDAY3EXLFouFoqIirNaub2y0RE1NDVVVVQwdOtSrqZ3toVKpmhho1dYZeG2DDgfhPruncNn52ewwhqT7rj1pZ5FlmcLCQoKDg0lNTXWvdYKD/Ljsgjguu6Dh+3Ewz0BxhZWsGanN1kNnu0PbbDZ0Op077SsyMpLo6Oh2m7Dsy7ezYUfnRAKAiyAMziQ+PwCbDzSkKGWmqLiklRSl1oiMjGxRJLz00kt8//33rFq1yqciwZP4uHPnTu666645fSE+9mqhIEkSe/fuJTU11V2IYjQaOX36NC6Xq8WdYLvTxQsfVVBnajge/OhrJx9tqSAxysXkEaFMHhnZ7lGT2WwmLy+PgQMH+tyFsTWC/Jx4K/WotXPYgIAAHrlnHgP7x3r4RN5LPepIcyWn09lmbUhHOTvty2KxoNFoOHHiBJIkuVOUGgvWhRA88vxXVNR4r0vImQgho9PUUaybhErV+hsTEBDQarpRRUUF11xzDf/617+48MILfTLOM2k8iXzmmWdITk7moosuco9LlmUOHz4MMAt4QJKkOOByIcQunw9MQaGP0tnUI5fLxeHDhwkKCmL8+PEIITAajZw8ebJVQzYhBDsPahmZEUZURMeKYYUQnD59GpPJxPDhw3u0K1CN1sZ/1htxSb4TCZJs45cLotwuv72JxqyHyMhIkpOTW71OkiTGDY1k3FDP1jOBgYFN3KH1ej3V1dWcPHmS0NBQoqKimrWz3XPCwcbvDNBJkXA2jSlKe4tg748pShcMFsyc0nb6TkREBAMHDmwmEt544w2+/vprVq9eTUBA5wvAPcGT+Pijj9ErfSE+dlvqEdChdmz19fXs2rWL4cOHu80xGqvgW6tH0Bgc/OvjKuxy63/QQnYQE+ZgwpBgLhoXTVBA00muUUWf2dmopyiusLL9kI3SukBkVSSS1Lk/wLzd7+CwNT16Dg0J5a8PLiQ+1vPj4qLacD493OzorFPYrQaObP2nR9emJITxxL2zvXLf9mgsoNNoNNhsNsIjIng9N59ane96KkuSitShswgJCeaBxY4Wr/H39yctLa3F3NGqqioWL17MP/7xDy677DKfjbMl0tPTWbp0KY899hihoaEIIZAkCYfDQUBAQBJwHfAUcJEQYk+3Dk5Bwfd4LUa6XK4OOS1bLBaOHj2K0+kkLS2N1NRUZFmmrq6OU6dOtdpq1e5w8XJuBTprCELIBKqsZKb6MWN8VLuOvLIsU1RUhJ+fH+np6T3qXlt4ysh7nxtB7btFnxoLv7o6nugOiqnuwOl0ugvIExMTu+WeQgh3O1u9Xo+fnx9RUVEU1UbwxR4z3hIJLWHWFHH9VamMHta6IAoPDyczM7PZ9/Ltt99m7dq1rFmzplvXdW3FR41GQ1JS0m/pA/GxW08UPO0TXV1dTUFBgTuHXJZlKisr0el0rYqE/FMm3tqoB1XbXwJJ5Y/W7M+XB2Dzvjoigm2Myghg5sQYTIa6djsbdScDkoMY8GOnnFqdkW0HLBRUqrGJKFQd6qPc9P2Kjorkb79fSHhox46LvZt55Hl87c62ZWcW0NnsTv78zy/RGnwrEpKHXIZfQBA/n2mjpYm2LZFQW1vL0qVL+b//+79uEwkulwu1Ws3atWsxGAzMnTvXnZ/c+Lfp7++PEKJKkqRFwBrgSLcMTkHhPKFxwTZx4kSio6NxuVxUVFRQWVnZ6gJea7Dz8upqHDTk8kuSCrsI4XgZHDtlwk+qY0CCxMVjIxmQ2nQTqbXORj1FvclFbISTWgPu/HtvEqQyc/eypDZdfnsKp9PpTo2Oi2u5g5QvkCSpSTtbq9XKtgNGvj1uhk5uZHqCWVPEz69KaVckZGRkNPvur1y5ktzcXNavX98tIsHT+PijuOsT8bFX/QU0FuTU1dVxwQUXkJ+fj81mQ6PRYDKZWhUJOw5o2fCdHUnVwYWvSk29LYRvj8POozoCVBZGDowluZ9MXJSXXpSXiIvy5+qZDeLFZLHyzUETx0rb9xWApkfaqcnx/PXB+fj79ayJTEfoiU0rp9PVbSIhICCYm2fZSYltWSSkpqa2KBI0Gg1Llizh0Ucf5YorrvDZOM+m8Qj1ueeeY+bMmYwc2WAu2Lhb0ogkScOB6cB8IYRvEqUVFM5DKisrKSoqIiQkhOjoaBwOByUlJe4OgC1ReMrIe1/Ug6rlgl9JknARTGE1FH5hQyXrSYkVTB0dzoAkPwoLC0lL61q3Nm8yblgk44Y1pI8eLjDw/VEj5RoJoepY8W1LRAaaWbE0GT8fxUkhBEcL9QwfGNHhgl273U5eXh6pqak9/lnszYdvj+NTkWDSFHH93BTGDGu9jjIsLIyMjIxmm4qrVq3ivffeY+PGje5Oib7G0/h4/Phx6CPxsdcIBVmWOXLkCGq1mokTJ6JSqXC5XBQXF7vbWbY0AeZsrmJvobrLToWSSoWDCA6chP1F9QSqa8hMUXHpxCjSErvnC+YpocFqrrwwgisvbNhZ+O6onr35LvTWCNT+LaQS/fi+9UuO4Y7rxmAxm/ALD+/RY+O2CnabXdsD4yw+raH89GnCIhOQ8Ud2ubz7fkkqkgc3iISbZttJiWs+0fr5+ZGamtri6ZZOp2Pp0qX84Q9/YP78+d4bVxu4XC5Wrlzp3rnZu3cvL730knt3sfH9kWW5ccJeQcNOSa/NvVRQ6C14Mr8IISgqKkKn0zFp0iR2796NxWLh5MmTWCytt2z+9qCGz/Y6O7SZJqsazMhWbXMinEbiIyOZopaYGCV6NHacjSRJjBkcyZjBDfn3J8uM7DhUT0m1jKMDvgKNxAYbuDXbdyLB5ZL553+PUnqqEpXan+TEGCaMiGf6hPh2jc9sNht5eXn079+/x+onG/n2mJ3Ne4y+PUnQFvGzuSmMGd66SAgNDSUzM7OZSFizZg2vvfYaGzduJCzM90XoHY2P//73v6GPxMdekXpkt9vZv38/SUlJ7spwo9GI0WikpKSkRQdjl0vmldUVnNYGeX3HWZIk7HIwx04JjOYa7lyS3v4/6iH8/FSMSncRJhrqKn4os7L7hJMqQwiSX0OBlyRJTJkwhBXLL0Kv11NVVUVRURFhYWHExMQQGdl+gTd4N/tQFp5/aD0RlAL81fj5B2DQVQKgUvkTEBKNWh3Ytn21J0gqUgZfSkBgCDfOspHaikhIS0trUSQYDAaWLVvGb3/7WxYtWtS1sXQASZIoLi7m0UcfBRrMkVrKjW3suAL8HHhMCFHXbYNUUDhHcblcHDlyhICAAMaNGwc0/E2uWbPGPZe31Mryk68qOVjs16XNNMkviFoTbPxeZsO3VcSGORk3JISpoyN9tqDuLAPTwhiY1rAwrNZY2bZPxw+nrDhEWIOnUCsIIchMsDB7QiCFhYUIIYiKimrS2KKr2B0u/v7mIaqrawGQXQ5Ol1dxuryKDV+qiImJYtSQeGZMSiQuqqmos1qt5OfnM2DAAMLDfVe87SkhAS4So1XU6mScLhlUqk7XUbaEWXuSa+ckMa4dkTBo0KBmImHjxo288MILfPrpp90mqDoaH1euXAnwVl+Ij91azOxwOJDlpous+vp6Dh8+zJAhQ9y5dnV1dVRVVbkXiPX19dTV1aHX6wkNDSUoNJp3/2fB5PTdTr/scjFxkIOll6f67B7eoKamhoqKCoYPH95sUVl02sr2wzZCpSoWXzGkye+EEO4WoTqdjqCgIGJjY4mOjm7VbKWkLoz1h9r2WvCUjhQzD0yL4s8rZnrlvh3B5ZL5/nA123YXk19Uhtmoa/iFJBEQFIV/QCggdUw4SBIpgy8jIDCUG2fZSItv/SShpc4MRqORZcuW8ctf/pLrr7++cy/MC7z//vs89dRTHD58mAceeICHH364SR/11157jdtuu00HXCCEKOixgSoo+BavxUhZlnE4Wm5m0Oi0nJqaSlpaGrIso9FoKC0tbdKAwel0uhe3AQGBvLGugkqDL70FHCy+JIjRg3t2d7s1nE4nBQUFREVFERYRxzf7NBwrsVNvC2ginISQmZjpYsElPy3sHA4HWq0WrVaL3W4nMjKSmJiYdp2hW8NsdfLU6/vRanUeXR8eHs7ggXHMmJhEYoyKgoKCbvWr8BQhBIcKLRzIt1FR58RqAySpTVHWHmZtMcsuT2DiqLRWrwkJCWHQoEHNNjk///xz/vrXv/Lpp592a/3GmXgSHx988EF0Ot3gvhAfe1QoNBYtjxkzhrCwMGRZpqqqCq1W22KqkRCC/BINb28yg9p3k5/LaWfeFH8umdgzXzJPKS8vR6vVMmzYsC61qGtsEVpXV4dWq0WtVhMTE0NMTEyT/tg9JRQy+kfz0F0zvHLfrlBYauCLnUUcOXEKjabGLRD8AsPwD4hArVIjy22kKEnSjycJYVx/qZX0xOafmVqtJi0trUWRYDabWbZsGTfccAM333yzV19bZ9mzZw8HDhzgl7/8JV988QUFBQUsW7aMyy+/nP37978G3CWE8LyVi4JC38LnpqQGg4HDhw8zbNgwYmJicLlcVFVVUV5e3myucTqd6HQ6yitrWf99IE6V7xbwQpa5cJjMldO612fIUxpz+ZOSkpotGO0OF98d1nEw34LGpGbGGH9mTmo93je2CNVoNJjNZsLDw4mOjvbYsFNXb+fvb+zDWF/fqdcSEBDEgH4xTBufzPhh0b0q9etsTlVa2XXcRmmVA4NZgACpA+sTk+YkSy6LZfK4Aa1e05pI+Oqrr3jkkUf49NNPu93/qiXaio+TJk3itdde8+8L8bFHhIIQguLiYmpraxk7diwBAQFum3mj0dhqPcKBPAMfbTEhqXzXqkw4LVx/RTgjM3vnDgk0BJSSkhIcDkeLuXldxWazuUWDy+UiOjqa2NhYaizxrD80yCv3sFv1HNn6nAdXSixfNJ6ZU/p75b7eQmuw8vmOUvYeLqHidAUuuSHAq9WBBARHoVIHIIT8U6eoM0TCJZkFhPtrm7lDtyUSrFYr1113HVdffTW33XZbrwwUGzduZNmyZbhcLux2O0KIO4A3+sJEqKDQSXwqFKqqqigsLGTs2LGEhITgdDopLS1Fo9G0OgeU11h4Y4MWWep6UW+rY3U5mD81kEkjonx2j65gsVgoKCjwSS5/o2GnVqvFYDAQHBxMdHQ0UVFRLZ7GV9dZeeatvVgsZq/cX+3nT2pyLBNGJHDR+DgC/XtX6teZGIxOvj1i5kSpBb1JhSwLUKlb/e6atMVcNl5NWpwatVrtfl/PTKkLDg5m8ODBzUTCN998wx/+8Ac2btzYpqdET3F2fHz55Ze54447FKFwNk6nE4fDwdGjR1GpVAwfPhyVSoXNZqOsrAybzdaqSJBlwWuflFNSLUE7XX46i+Qy8uulCSTGeb+F1qEiF+u3VRMXbuHSSbEMSe/c5CXLMgUFBQQGBrqt2n2J0+lEq9VSV1dHRX0UR43e6a5jt+g5su25Nq+RJBXLr57AjAtaP37saRwOB4cOHaVcH8L+49WcPFmGzWYEQJLUBARH4ecfQlLmJQQFR/DzmTYGJKmQZRmDwYBGo8FgMBAaGsqIESNISUlpJhRsNhvXX389V155JStWrOiVIuFMvvrqK/75z3+yfv16AawFfiuEKO7hYSko+AKfCIXGomWtVsvYsWNRqVTY7XZOnjyJ2dz6gvNQvp7V2yw+aRfqRraxfE64uw6gt2E0GikqKuqWNB0hBGazGa1Wi06nc/sKREdHExgYSEmFiRfe3Yfd7pumNpKkon//RH57/cgONQjpTqqrq6mrqyMjYzD7860cOWmnWuvC7hAgqdwpSmZtMYsvjWPyuIZNwUZ3aK1W63aHTk5OZvz48c3SrL/99lvuv/9+1q9fT1pa710vwE/xccOGDQgh1tAH4mO3CgWTycS+fftITEx0L3ItFgunTp3C6XS2KhKaDEgIDhXUs+OAgbI6CbzQCg0gSFXPfT9PJTTY+/4JWw86+ex7QxPvAOE0khzt5KIxkUwYEevR4s/lcnHixAmio6NJSWm9wMdXlNSGsP7wYK88l92i48i251v9vSSpuO26yUwZ0/P9ulvD4XBw7Ngx0tPTiYqKAn78fubV8dV3xZzIP4VB31CnNHzarVx/qYuBSc1Pfxqdouvr66mpqUGlUhEXF4cQgtTUVG666SamT5/Ovffe2+tFwplIktQPmAtsFkKc7OnxKCj4AK+bkrpcLo4ePYqfnx9Dhw4FGtIOi4qKWq1hACipMPHWp0Ykte88gPwwc8eieGIjfbNZ11V0Oh2nTp1i8ODBLRZ2+xqr1YpOp0Oj0XCq2sn/vtXgcrb+mXUVtZ8/d1w3kaEDer64uSWqq6vRaDQtngDkn7Kw+4SN8honOp2G+dOCuHBcy5kDLpcLm81GWFgYZrOZiIgIgoODiYuL44cffuCee+5h7dq17mY4fYGysjL69et3G30gPnarUCgsLCQwMJD4+PiGJxcCp9OJzWbDaDRiMpnanAhb4oeSer7ZZ6C4WuCi463QAOLD6rnn2nSfKPJPttvZfaztvETZaSEuzMqUkeFMHReHXwv5fHa7nRMnTpCSktJjBTqnNKGsPeid1CObRcfRVoSCSqXmVzdcyPjh8V65ly9oSSS0RHm1ic+3F3PxhcMYlNL8c1WpVKSlpTWpBbHZbNTW1rJixQqOHj1KRkYGTzzxBNOmTWu10LyX0ndUjYJC5/BqjDQYDBw4cIDk5GT69euHLMvodDpKSkqaNQJpCYvVyfYDOo4UWdFbA7rcNvxMwvzNrFiaRGBA75yDamtrqaqqYsiQIT1umHrghJa3cw8gy77LKvH3D2TF9RN67clOWyLhbBwOGX//1lOoAwMDGTJkCH5+fggh0Ov1fPHFFzz55JPo9Xruvvtubr75ZlJTe3fzmRboEzGyW4VCo0W9EAJZlpFludkpgs1mo76+HpPJ1GJhV1uUlJvZslfHyQoXDhHcrmiQZZkhSUZuzhrg9Z1aIeCt/1kpOGXq0L+TnTYig82MHxzCzAsSCAr0w2q1cuLECQYMGNDmotTX6Ez+fPhtHHYppoPO0M2xmbUc/eZfzR5Xq/347S+mMiIztkvP70vsdjvHjx9nwIABXcp/ValUpKamtrjz5XQ6uf3228nMzGTKlCls2LCB5ORkd+u1PkKfmAQVFLqAV7seffPNNwwaNIjY2FhcLpd7UaTT6dDr9S22F28Nu8PFt4d0HMi3oDX5d+mkITXKwi1ZKT490Xxv7RHq6v2YOCqRC0dF4ufnee1deXk5BoPBo0Wpr9lxoIaPNxxCdLWNdhsEBATxmxsnkpbUuzyeGumISGiPwMBABg8e3Ez8HT58mFtvvZVnn32Wo0ePsn79ev7zn/+QkZHRpft1M30iRna7UGgsaG5JJJyN3W53iwabzdahe+UVVfP5dzXUGsOxycHNWnXJLgdTBlsYle7EZDIRGRlJbGws4V4wInO4BC+tsVJV17XiJdnlIFhdT2JEPVmXDiQ5sXc4YtabBbt+8KewJgKblIDKr+PH0DazhqPfvNDkMT8/f35328Vk9u+9heTdIRJcLhcrVqwgNTWVJ598sk+lG51Fnx24goKHeDVGWiyWBofkH0XCmTGysa6pUTh4csLQiNPlYs9RPXt+MFNr8PO4hkEImf6RtUwdLoiOjnbn3nsTIQQvvLuXglKt+zE/Pz9SkuMZOyyJ6eOjCQpsebHZ2NjD6XS26Mzb3Xx3uJYP1h7okKDrKEHBwdx70ySS4ro/tcoTvCkSAgICWjwhOn78ODfffDMffvghI0aM6NI9epg+ESO7vZjZbrd7JBLOxuFwuEWD1dp2YVBVVRXV1dUMHTqUgIAA6rQ2vtyj5USpA4sjECE7uObSEMYPb1h4y7KMXq+nrq4Oo9FIWFgYcXFxHrc+OxOjVfCvXBNGU8eETXvIsotAqZ4haX7MvjCBxFjvF1x3BodTsDtfzYnycOpd8S07Q7fA2UIhICCAP901nX5Jvsu1rNEYefqNvYSExTBxZCIzJsYQEer5yYg3RUJKSkqLJj6yLPOb3/yGqKgo/v73v/d44OsifWISVFDoAl4XCq4fXeDbio+NPjg6nQ6dTofL5fL4Hg6Hg8+25XOyJhiNORha6SIoZBezx6u5eHwMNpvN7dUgRINoaM3grSNYbU6efWs3lTXGVq9RqVQkJcYxYnAiMybGERnWMGfLskxRUREBAQH069evV2yoCCE4Wmhg5/5KCktqMZtNXh1XSEgo998ysZkZmzdxOuUOneacibdFwuDBg5s198jLy2P58uWsXLmS0aNHd+kevYCe/9J6QLcKhXvuuYeysjIWLVrEnDlzOm2r7XQ63aLhTNt6IQSlpaVYLJZWv6h6owOr1UViK2pcCIHBYKCurs7djSYmJoaoqKh2v/hVWpmX1xqx231XvCTLgrrSHbz21yyf3aOzCCE4fFLFwdIQNLZ41AGtL6atZg3HfhQKgYGBPHL3JSTF+a5DRVVtPY/+axtO108ToCSpiI2LZ+SQBC6bHEdKGzs03hIJkiSRmpraqkh48MEHUavVPP/8831dJEAfmQQVFLqA12JkeXk58+bNY86cOSxatIhRo0Z5NAcIITAajW7R4HS2nhff6O6blpZGdHR0w8K2qJ7vDtdTrlEhVA0LUOGyc81loQwf2HzjxuFwoNFo0Gq1TQzeQkI6lgaj01t49u296AyW9i/+EUmSiIuNZkhGIumxRgakRZGU1HsbXpSUm9i2t5IfCmvRGwx0RTOEhYfz4C0TiAr3XUerDzfXk19mJSLIwqBUFTMmJBAW6tn9vCkS/P39GTJkSDORcPLkSa677jreeecdxo8f36V79BL6RIzsVqEgyzL79+9n1apVfPbZZ/Tv35+FCxdy1VVXdXrx5XQ2pA7p9XoOHz7s1bahjRNw46QYHBzsdi9uVsF/2sW7/zPicvmueEl2OdGV7cBs0vPuc73DcKstDheY2JXnj1k1ECkgpom9u9VUx7Ht/yYoKIhr58STENMgyKKjo71eiFZebeDxF77BKbcddMMjohmckcglE+MZMfAn901vioSUlJQWA6osy/z5z3/GYrHw0ksv+UwkbNu2jf379zN9+nQmTJjgk3ucQZ+YBBUUuoDXi5k3bNhAbm4uBQUFzJ49m6ysLCZMmODxnGA0GtHr9e62ko3U19dz8uRJMjIyWt2kyy81suuIgdmTYzxKbWk0eNNoNNhsNndr0Pbci0vLdbz0/kHMlo7VIZ5NdHQUgwckMn1SAulJvTMVp5E6nZWv91RzJK+aOo2uSRfE9ggNDePG+cmkJscSFhbmk9OTlZ/XU1B+9ianTKiflX7xMjMmxpEU17IYbDTK9ZZIGDx4cLMUt9LSUq655hpef/11Lrjggi7dozW6OT5CH4mR3SoUzkSWZY4cOUJOTg4bN24kMTGRhQsXMn/+fGJiYjr0XHa7nYMHD5KQkEBUVBQmkwmz2ezVPMHGfsmNRmT+/v7ExsYSExPDwSIVq7cZ3E69vsDptFFZsBWX08L1V09j7sxhPruXN9BqtZSWljJs2DACAwOp0gp25QVySheNyy8eu0XLqQNv8/hvLiE8NACLxYJGo0Gj0biNVrxxtH26Us/jL27H1Y5IOJvAoFAGpCdxwYgYItRlZGQM9JlIEELwl7/8herqal5//XWfFeOZzWZefPFFtm7dyubNm5k6dSrvvvsu/fr188n96COToIJCF/BZjDQajWzatInc3FyOHj3KpZdeSlZWFpMnT/Z4jjCbzeh0OvLz8yktLW1xAeYtXC6Xu+99YwvLmJiYZnV/R36o5O1PTmDvYIfD9ggPDyMjPYlp4+MZlt62UOlpjGY7677Mo+i0ldpaA7JoPXUsJiaaB24eg91mQqPRYDKZCAsLcztDdzVeCAHvfW6gqKKdTU4hCFRbSYx0MHVMFMMGRgHeFQl+fn4MGTKk2Xf09OnTLF26lJdffpmpU6d26R6t0QPxEfpIjOwxodDkJkJw4sQJcnJy2LBhA5GRkSxcuJAFCxYQFxfX5h+80WjkyJEjDB48mNjYnzrlyLLsbrlqMpm8XlzUuLD9+pDE0VNB+PKtsluNVBVtQwgnK26+jAvH9e5ewbW1tZSXlzN8+PAWTwfqzYJdJ5xMHQahIc1/b7PZ3KLB6XS6naFDQkI6NPmXlmt58qWdyKJru/NqvwBSkhOZOCqRmZNiCA3q2GQoSRLJycktmv8IIfjb3/7GyZMneeedd3zesUOn0+Hv78+8efMAePPNN8nIyHAXTnqZPjEJKih0gW6JkVarlc8//5xVq1axf/9+Lr74YrKzs9ttmSyE4OTJk+j1egYNGuROUWqvzq+rnGkoaTQaCQ8PJzo6moMntKzZcrJDNRUdxT8gmMtnTuLKKb3zhMHlcpGfn09UVEPalMPp4vsjGr4/VMWp8lqcZwiohPg4HvjFGAIDfooLjfUpjWadQUFB7vTojrbPFgLe/UxPcWXHPw8/7IQHGukfY2HeZcPx9+9aJ0Q/P78W/S8qKytZvHgxzz33HDNmzOjSPdqjm+Mj9JEY2SuEQpMbCkFhYSE5OTmsW7eOwMBAFi5cSFZWFomJiU0+LI1GQ15eHqNGjWqz3kGWZUwmE0ajEbPZ3KFuEW2xO19iw04bDpsBX33eVrOG6pM7Uakk/nDXlQwfnOCT+3iL6upqqqurGTZsmFd6/jcebdfV1WGxWIiMjHTvUrV1FF9cpuX/Xum6SDgbSVIRFx/P6KGJXHZBHImxbe/OtScSnn32WY4cOcLKlSt97pHgcrlQq9XU19eTnJzMP/7xD2699dYm4qSkpISqqiomT57sjVv2iUlQQaELdHuMtNvtfPnll6xatYpdu3YxdepUsrOzmT59epONGVmWOX78OGq1miFDhjSZLxuNwXQ6XZM6P18gyzL19fWs+eI4+04YfdoRKCAoknHjRvHz2SFdqgfwFU6nk/z8fOLi4tx+UmciyzKHCwx8u78Sq8PFr64djn8bhcVCCPempU6nc5/Ge9KdSgh4Z5OekuquizYVTiKDrAzp78cl4+MJ6aBxbeN39GyRUF1dzdVXX83f//53Zs+e3eVxtkUPxEfoIzGy1wmFJjf/sfVZbm4ua9asAWDBggVkZ2ezZs0aUlJSmDdvXoeOUhtTiOrr6zGbzV3a2fjygJrvfgjA5bJjM2txOawgqbxm3GYyVFJb+j2BAf785b4FpCX33rahABUVFWg0GoYNG+aTnfGzu1O1VmheUFLL0//5Dhnf7s73H3oJf17eegG2JEkkJSW1KGKFEPz73//mu+++4+OPP+4WgyCn04mfnx+PPvooK1euZPXq1e6uEVarlX/84x+8/fbbCCHQ6XQ8/PDDrFixoiufZZ+YBBUUukCPxkiHw8HWrVvJyclh+/btTJw4kezsbEaOHMm//vUvVqxYQf/+LbvdNmKz2dyiwWzuWkvv1ngr5wD7j9f45LkbCQyNY9oFw1k0vXeeJDgcDvLy8khKSmqS/eBNGgWgVqvF5XK5C82Dg5v6SgkBb27UUVbri3RpmTB/K+kJgssmxxMT2fbnoVarGTx4cLMGH7W1tVx99dU88cQTXHnllT4YZ1N6ID5CH4mRvVoonIkQgvLyclatWsXzzz9PYGAg1113HUuWLGHAgM4ZpjWq8cYOSh0VDbV6F+u3GynXBYNfwyJelp3YzBqcDgvQedFQrymhrnw/4WGh/O13WURHer8dqsUm+Pcnegw6DYNTVcyaHE9qYuc6D5WVlWE0GpvtXPmKxuNXrVaLVqslMDCQ2NhYavUunnt7L8LHIiF92CUEhkTzwOKWi/HaEwn/+c9/2LJlCzk5OT7LGW6N9PR0lixZwmOPPeYe3+9//3s++ugjrrvuOn7729+yevVqXnjhBT766CNGjhzZ2Vv1iUlQQaEL9JoY6XQ62b59O2+88QYbN27kkksu4Wc/+xmzZs1qsctaS9jtdre5m9HYestST3G5ZF747x6KTum7/FxtERKZwmXTBjNnku86AnUFu91OXl4eaWlp3WaaenaheUREBNHR0YSFhfPmRj2n63xXUwlgM1awcFoYF05oPVW6NZGg1Wq5+uqreeihh1iwYIFPx3k23RgfoY/EyD4jFKBhgXX99deTkpLCvffey5o1a1i9ejV6vZ6rrrqK7OxsBg8e3OlcsjNFQ1st5lqiuMLKN4fslNYGINSRSJIKIVzYzFqcdhNCSKjUni2gtVUn0FcfJz42mqd+v5CgIO/vNutNMv/KNWGx/rTQFUIguepJTxRcOimWIentn2A0tqS12+1kZmb2WEtPi8XC7gNF/Hf9SZB8KxISBl5EcFg88ydbGJfR8utNSkoiPLx5a0EhBG+99RYbNmxgzZo1XS7W9pTGY9W1a9dy0003kZOTw6xZswA4ceIEEyZM4B//+Ad33XWX+9+MGDGCK6+8kmeffbazt+0Tk6CCQhfoVTHy0KFDLF++nNdeew273U5ubi6bN29m6NChZGdnM2fOnBbTIFvC4XC4RUN9fX2nxvPCu7vIL63vUIefjhIRO4B5MwcydYRvUzc7S2NL2v79+3epIUZXcLlcP7Z917JhTxB6q2/jjkVfzqXjA7niksGtXqNSqRg8eHCzBh96vZ7Fixdz//33c/XVV/t0nI30UHyEPhIj+5RQADh69GgzBVdbW8vatWvJzc2lurqaK664gkWLFjF8+PBOiwar1eoWDY4Odmcor7Wx7YCVk9WBuFSNokHGbtHjsNUjhEDVynFV3emD1GuKGNA/icfvvQq1h+KiI9ToZF5c077fg3AaSYlxcvHYKMYNi2n2XjYWygkhyMjI6NEuE0fzK3nu7b2Ab4WKWyRcYGFcZsdEAsB///tfVq1axbp16zrcd9wbXHrppURFRfHyyy+TlJSEy+Xi97//PatWrSIvLw9/f3/35zh+/HiuuOIK/va3v3X2dn1iElRQ6AK9KkY2LurT0tLcj8myzN69e8nJyeGzzz5j4MCBLFy4kLlz5xIREeHR8zqdTrcjtMFg8Hg8tToLm3eUcOKkBq3O8mN9gvfesujEwSyencaYjN4pEiwWCwUFBQwcOLDTvlHewikLXl+no0rn26+sRV/OzHEBXDljSKvXqFQqBg0a1Ey01tfXs2TJElasWME111zj03G2RDfHR+gjMbLPCYX20Ol0rFu3jtzcXEpLS7n88stZtGgRo0eP7vRut81mc4sGu71jfZ/r9A6+3m+moMIfuxSJSvJDCIHDqsduq0fIsls0VBXvwlJfzojB/fjDr2b7JM//VI3Ma+vrO3xiIjvNxIfbmDwynGlj45EkKCwsJCAgwGu+FV3hlgc+QB0YjhC+O01oFAnzJloYP7jl71JiYmKrwfejjz7inXfeYePGjR7v6nUVl8vFypUrCQ8PJyMjg+nTp/PSSy9x/fXXAw2CeNiwYfzyl7/koYcecu+sHD58mLvuuosrrriChx56qLO37xOToIJCF+hTMVKWZQ4fPsyqVavYtGkTSUlJZGVlMW/ePKKjoz16DpfL1UQ0eFqcrDNY2fztKY4X1lGnNSMLuUsnDfFpo/j5lQlkJPtuzj90ooLVm0vpl5bAReMSGDbA83nbZDJRWFhIZmZmt833reF0Cf6zTkeN3sciwVDBjDH+zJ3ZcZFgMplYunQpt9xyCzfccINPx9lID8dH6CMxsnfK8C4QFRXF8uXLWb58OQaDgY0bN/LMM8+Qn5/PrFmzyM7O7pB5DTQ4BwcGBhIXF4fdbneLBpvN1u6/jY30Z/HMhuPG/IJidhy1U2OJRwRGERAcBYDdZqCmdA+W+nKmXTCEBTPSOXz4cJsGb50h/7SLdzbVI8sdL+BW+YVQZwlh0x7Y+F0lQSotI/qrWHjZwB4XCS6XjMVqAqsJ/8BI/AN/7NvtRV+LRpEwt5MiYfXq1bz11lvdKhKgoVaiuLiYRx99FICQkBASExPdvz958iRlZWXudnCNfxdbt27FZDIxbtw4AF+2h1NQUOgmVCoVY8eOZezYsTz++OMcO3aMnJwcFi1aRHR0NFlZWcyfP5+4uLhWn0OtVhMTE0NMTIy7wUTjT1sdBaMiglhyxWBgMEazgy3flXI4r4YajRlZFgjZ5eEcI5HYfzQzhuvxdzoxGts3eOsM3+0v5aNNBbhcLjRaAwcPFxASHMyA/klMHpPA+KHhrd7TaDRy8uTJFvPve4KtB23U6lwIGSQfZCkAWAyVXDxa3aZIkCSpReFksVi49tprueGGG7pNJDSOR4mP7XPOnSi0htls5tNPPyU3N5cjR44wc+ZMsrKymDJlSqcX4Q6Hwy0a2upL3di9yeFwuPP4zVYX2w6YOFoqYXZFUVu2j4tGwLJ5Y93/5myDt7i4uE47Fx8sdPHxVwaEl1rDNiK7HIT6GxmZEcjsyYlEhHV/MZkQgnfXHGXf0VJqqysRPwoEv4Aw/AMjUKvUyB4HoeYkDJxGcFgCV06wMGlIy5NsQkJCq/mnGzZs4Pnnn2fjxo3dVsjWEu+//z5PPfUUhw8f5sEHH+Txxx/n888/5+677+bjjz9m0qRJQENLujvvvBObzUZubm5Xiq3P3ZlTQaGBcyJGCiHIz88nJyeH9evXExwcTFZWFgsWLGjWlryt5zAYDO4OSp62IbfanXy5s5jdh0+jr3fhakM0SJKK/oMmcsv8CMKDRTODt9hY7zgXf7mzkPVbihtOPVohICCQ/mkJTBiZyIWjIvH7sY2pXq93m9t1Vw2aJ1Rr7Ow8YuFkhQODSSAASeWd0xiLoZKLR6mYf1nrRrCSJDFo0KBmKVhWq5Wf/exnZGdnc/vtt/fYgrsH4iP0kRh53giFM2k0r8nJyWHfvn0em9e0hdPpdIuGM/tSy7LcboqOzeHidLWFjNTWcxgtFgt1dXVu5+KYmBhiY2MJCGh/Yf7tURfrd+p9WlAGoD39HS8/Ns+n92gPg9HO5ztK2H2wmPLyClyuhlQxtV8QAcFRqFT+CFn2uMd2wsCpBIclMme8mclDW55U4+PjWxUAn332GU899RQbN270WUu8jrJnzx7279/Prbfe6u4J/ac//YnbbrsNgEcffZRPPvmE++67j+XLlyPLcmfT9vrEJKig0AXOuRjZWHuWm5vL2rVrUalUbi+jlJQUj0VDfX29WzS01VHQaDRSVFREZmYmAYFB7NhbwZ4jFZTXGHE6ZbdoUKkCyBw+gVvnhREU2HQMjScbjc7FjQZvERERHZ671n95gs3flnXI78HPz4+U5HiGDYgiJVLLqJFDPYrNPYXR5GTHEQv5p+xojALZKSN1cu1jqa9k2nAVC2e3LRIyMzOb1e7ZbDZuuOEG5syZw913390rduW7MT5CH4mR56VQOJNG85rc3Fy+++47pkyZQnZ2Npdcckmne9s7nU6MRiN6vZ79+/cTHR1NSkqK18Zss9ncokEIQWxsLDExMS3uXmze52TLHgO+/ChlWaAv34nVpOWtZ2702X06it3h4qtdZezcW8zJ0jKc9gYBp1L5ExASjVod2GZ6UvyAqYSEJzKx/2mmjwlq8Xi7LZHw5Zdf8vjjj7Nx48YWzXV6A0IIHnvsMV599VUWLFiARqNxt3676aabupom1ScmQQWFLnBOx0ghBKdPnyY3N5fVq1fjdDqZP38+WVlZpKeneywaGuOhVqttUh+n0+k4depUi7vvLpfMrsNV7DpwmtNVRoaMmMQv5obi59f2PRsN3rRaLQaDwe23ExER0W72wIcbj7BzX0W7r6ktVCoVSYlxjBqSxIyJsYSH9u4Mb7tD5vtjZo6etFOjl3E6ZVCpPfpsLYYqhiZqmH/ZEKKiolpcM0mSREZGRrO0XIfDwU033cRFF13Efffd1ytEwtn4OD5CH4mR571QOBOHw8G2bdtYtWoV27dvZ8KECWRnZ3PppZd2+HjJbrdz4MABUlNTCQsLw2QyYTabve5K6XA4qKuro66uDpfLRXR0NLGxsYSEhLBup53vjnSurZ2nyLJMZeE27DYdP8+exrzLhvv0fp3F5ZL5/nAVW74torDoFFbrjz3CJRWBwdH4+YcAwn3qEj/gQkLCk7hstIkhiQ29qM883g4PDychIaHVAsBt27bx0EMPsWHDBpKSkrrpVXaeTZs28dprrzFw4EBmzpzprd7VfWISVFDoAudNjBRCUFVVxerVq1m9ejX19fXMmzePrKwsBg0a5PFCz2QyodPpyM/Pp6ysjCFDhrS7KSeEQAg67EvUKFI0Gg16vZ7g4GCio6OJiopqlj3wZs4BDnjZFE6SJOLjYhg2KJEZE+OIj+5ez5yOIoRg695KjhXL6C2B2OwCJAmphR1zS301Fw6VmXPxALefUaMzdFRUlFv4ZWRkNEvLdTqd3HLLLYwfP54//OEPvVIknImP4iP0kRipCIVWcLlcbN++nZycHL7++mtGjRpFdnY2s2fPbrc4yWw2c+jQIQYPHtwk3USWZYxGIyaTCZPJ5HXR4HQ60Wq11NXV8dXxGE7V+NZPQHY5qSjcitNu5BfXTGfWRa33TO4N2Gw2jh8/TkZGBmXVTr7YeZLjeaUY9HXuawKCoohJHk1MyhhmjbYwdeRPE6Qsyz/2oq5DpVKRkpJCfHw8sbGxTYLOjh07+N3vfseGDRu8epLUHXi5KKtPTIIKCl3gvI2RNTU1rFmzhtzcXOrq6pg7dy4LFy70qC15cXExWq2WzMxMjEYjOp3Oo+YgXaGx7k+r1aLT6fD39ycmJoaoqCj+89FBfjip9en9AwJDWHTVJC4a1XvFQmVlJTqdzm2cWnDKyvcnrJRVOzFbfxINlvpqpgyVWTRnRJN/b7PZ3O+v0+lk9OjRZGZmNqkbcblc3HHHHQwaNIhHH32014uEM/FB0XKfePGKUPAAWZb57rvvyMnJYfPmzQwZMoRFixZx+eWXNyvMMRgMbq+HtnpUy7KMyWTCaDRiNps9LvzyhDU74ftjepA71gK1I7icdioKtyI7zNyx/DIunjTAZ/fyBmeKhLM/l7LKev73TTGHjpVQW1dNQr9JLL1qFBeNbDnvsLETlcFgoKamhtraWlQqFd9++y1Dhgzh8ccfZ/369fTr1687Xlpvpk9MggoKXUCJkYBGo3G3JS8rK3N7GY0cObJJ/rYQgry8PBwOByNGjGjyO4vF4q5paKs5iLewWCzU1tXxzpoCqrUd80rqKH4BYYwZO5YbrwjxuD6uuzlbJDT7fa2NnUesFFc6SI+qYvGVbTsSp6Wl4XQ6qampwWQyUVxcTHh4OBs3biQ5OZn/+7//61MiwUf0iTdAEQodRJZl9u3bx6pVq/jss88YMGAACxcu5KqrruKrr77C6XQyd+7cDplpCSHcosFkMnVZNLy6KYBavYS10RUagcpL3Q0AnE4bFQVfI5w2fvPL2Uwa07sXxG2JhLPRGqyU19oZmdHydY1F5GdTXV3NX//6V9atW0d6ejrLli1j6dKl9O/f3yuvoY/SJyZBBYUuoMTIs9Dr9WzYsIHVq1dTWFjI7NmzycrKYvjw4Tz//PMsXryYwYMHt7lItFqtbtFwZnMQb+JwOPnHG3uoqPFteq5/UDgTxo/lZ7OC+6xI6CgDBgxokpYryzKbN2/m6aefJi8vj3nz5rFo0SLmzZvX6QYy5wi99BvRFEUodIFG85qcnBxWrlyJLMvcfffdXHvttR6b15xN4/Foo2hoq1tEa2w9YGXHMZDPdIW2/ugKLbfuCu0JDruFysKvQXby4F1XMHpocqefqzvoiEhoj9ZEAsChQ4e47bbbyM3NJSIigg0bNtCvXz/mzJnTpXv2cfrEJKig0AWUGNkGRqORTz/9lA8//JCdO3cyZcoU7rnnHi644AKP25Lb7Xa0Wi16vR6TyeSVcZmtdp5+fTd1WrNXnq81AoKjmDJpNEtn9p42qWdTWVmJXq9n8ODBXhEJ6enpxMTENHlMlmV+97vfIUkSzz33HHv27GHjxo088sgjilDoAyhCwQs899xzfP755zz22GNs2rSJDRs2EBUV1cS8prNHbGeKho66KTd1hY5CJTVMzHarDru1qSu0J9itRqqKtiJJgj//eh6DB7ZuytMb8KZIiI6ObtWE6NixY/ziF7/g448/Ztiw1lvEnYf0iUlQQaELKDGyHaqrq8nOzubOO+8kIiKCnJwc9u/fz/Tp08nOzmbq1KkeLxYdDodbNBiNxk6Nx+Vy8fiLO9HofZveFBgSy0VTRpB9sSISHn74YYxGI6+88opX7nMO0SdipCIUvMBnn33GZZdd5u7cIISgoKCAnJwc1q1bR3BwMAsXLmThwoUem9e0hNVqdXs1OBwdy6k0GJ1sPWDmRJkaq4hEpWoYq8NWj92iR5ZdbYoGu8VAZdE3+PnBY/cuID21cycmnrJxWxmbvs6nf1oc08YnMXVMLOoOOEp6UyRERUW12t70hx9+4MYbb+T9999n1KhRXbrPOUifmAQVFLqAEiPbQavVcvToUS6++GL3YzabjS+//JJVq1axe/dupk6dSnZ2NhdffLHHbcmdTqc7Pam+3vP0ISEEazYXcLSgjlqNCVn81O3OWwSHxXPJ1GHMu/D8EQn9+/dvduIuhODxxx+nsrKSN954o9PmtucwfSJGKkLBxwghKC4uJjc3lzVr1qBSqViwYAHZ2dkem9e0hM1mc4sGu93eoX/rdoUuUWGWI1GpGoxhHHYTdosO2eVAOqOPstWsobpoJ/4BKp58MIuUhK4tvNtj3ZZTrP/yKGd+/dR+/qQlx3HBmERmTEogKKD1Cae7REJhYSE///nPeffdd91W7gpN6BOToIJCF1BiZBdxOBx8/fXX5OTksH37di644AKysrKYOXOmx23JXS6XWzQYDAaP7222Otjy3SkOnaimWmNGbsMV2lNCwpOZdfEQLp/kW8O13C2VOF1wybhIkuPb7sR4Nt4WCf369Wt24i6E4KmnnqKwsJB33nnnfE8xao0+ESMVodCNnGle88knn2C321mwYEGHzGtawm63u0VDR1vM2RwuPttRzfEyf+yqBFTqhonZ6bBgs2ixmeqoLNpOUIAfNy8eQWSYf5sGb10ld3Mp//vqaJvXqFRqEhNimDgyicumJDUxtPGmSIiMjCQhIaHF35WUlHDttdfyxhtvuK3dfYXVavXJe90N9IlJUEGhCygx0os4nU62b9/OqlWr2Lp1K2PHjiUrK4tZs2a125a8EZfLhV6vd/942obcanfyzZ7T7DtaSVWtCZdLIHdQNIREpnDhmDhmjA3wyOCts7y3qYLCqoZYLYTAT7KSHi8xbWwEmWlhbf5bb4uEtLS0ZptpQgj++c9/cvDgQd5///1Om9d6ihIjfYsiFHqIs81rDAYD8+bNIzs7u0PmNWdjt9vdNQ2etJgrLy9Hp9MxdOhQBBLfHTGxv0CgtUag9gumvu4kmtKv+fsfs4iKCMZut6PRaNwGb40Fvp5O4m2x6rMSPt92rEP/RpJUxMZGMXZYIpdMjKW6vNArIiEiIoLExMQWf1dWVsayZct45ZVXuPDCC7t0n7aor69n7dq1fPrpp+Tn57N8+XJWrFjRl1rK9ZmBKih0EiVG+giXy8W3335Lbm4umzdvZvjw4WRlZTFnzhyPHXEbvW90Oh16vd7jjoJOp4sd+yv4/lA55dX1uFy0e9IQFt2P+TMzGZ1ubWLwFhMTQ2RkpNd21N/ZUE5xbeuLYpVsIzlG5sJRYYzMjGgyZm+LhNTU1GabaUIIXnzxRXbu3MnHH39MQIDvTlaUGNk9KEKhl1BbW+s2r6mpqWHu3LnulnKd/dI7HA63aDi7xZwQgrKyMkwmU4st0Vwuwd4fzBzJ17B0dgLhoc2PgJ1Op1s02Gw2tyt0aGhoh8f84aZivtx+vOMv8iwiIsIZOSSJWRemkJ7seYvaps/RukioqKhgyZIl/Otf/2L69OldGWq73Hnnnaxdu5Y5c+YwevRoXnzxRZYuXcpTTz3l0/t6kT4xCSoodAElRnYDsiyzZ88ecnJy+Oyzz8jMzGThwoXMnTuX8PBwj55DCNFENLTXUdBms5Gfn09ycgr5ZXa+3V/G6SojdoermWiIiB1I9qwBTBr6kxho7GCo0WjQ6XQEBAQQExNDdHR0p0XD2+vLKanrwM65bCchwsnEYaGkRlswGuu9JhJSUlKaxUkhBK+//jpffPEFubm5HqeOdRYlRnYPilDohWi1Wrd5zalTp5gzZw6LFi1i1KhRnf4DdzqdTVyhS0tLsdvtZGZmemXScLlcaLVaNBoNZrOZqKgoYmJiCA8Pb1c0rNxQxNff/tDlMZxNaGgYQzISuOzCZIYN8OyEITw8nKSkpBZ/V1VVxZIlS3j66ae57LLLvDnUZnz++edkZ2fzwgsvcMsttwCQm5vLrbfeys6dOxk2bBgVFRUYDAaGDh3q07F0gT4xCSoodAElRnYzsixz6NAhVq1axaZNm0hJSSErK4t58+YRFRXl0XMIIaivr0ev17tdhM/EarWSn59Penp6k9NpIQT7j9ewY28ZpyoNWG0uImMHsGROOmMz2178WywWNBoNWq0WPz8/oqOjiY6O9njH/Y21pynTdv7kXrjsxIQ5GTsoiAtHRxEY0PkTjuTk5Bbj5Ntvv83atWtZu3atz1OBlBjZfXSbUCgtLeXw4cNUVFQwb948IiMjO2RKdr5iMBjYsGEDubm5FBQUuM1rJkyY0KkFvhCCo0ePYrFYSElJwWKxeJzD6SmNOaJ1dXWYTCbCw8OJjY0lIiKi2ZjfXVvAN9/ne/X+LTFlwmB+uXhQm9e0JRJqampYvHgxf/3rX7vFG+Hiiy8mISGBt956i8jISAAKCgqYPHkymzdvZsKECbz55pt8+OGHVFVVMX/+fB566CGvpIB5kT4xCSoodAGvTJ5KfOwcjfEsJyeHjRs3EhMTQ3Z2NvPmzWu1nXVLGI3GJsXQ+fn5ZGRkEBbWdr7/0YI6AgKCGdy/Y5+V1Wp1b6xJkuQWDS0troWA19eeplznvbldyE4iguyMGBjA9HExhAZ7LhqSkpJITm7un/Tee+/x0UcfsX79+m757ioxsvvoFqFw6NAh5syZQ3JyMidPniQsLIzrrruOX/3qVwwYMMAbtzgvMJlMfPrpp+Tm5nL06FEuvfRSsrKymDx5skdFU7Isc+zYMYKCgsjMzESSJGRZbnLS4G3RIMsy9fX11NXVYTAYCA0NJTY2lsjISN5ZV8S3ewq8er+WGJCeyu9vGdVme9WwsLAWJz8AjUbD1VdfzSOPPMK8efN8NUw3+fn5DB06lE2bNnHFFVe4H8/JyeGJJ57giSeeYP78+ezfv5/i4mI2bdrE66+/zrZt25q0IOwF9IlJUEGhC3R5wlTio3cQQpCXl0dOTo57sZqdnc2CBQtISEjwKB3WYDCwZ88e0tLScDgcHe4o2Bka6/60Wi0ul4vo6GhiYmIIDg5GlgWvrSmn0uC7xa2QZUIDrNx0VRzxMW2fArQmEj7++GPefvttNmzY0K648gZKjOxefC4UdDods2fP5rLLLuP3v/89MTExPPLII2zevJm4uDieffZZMjMzu3qb8w6r1cpnn33WxLwmKyuLadOmtZj/2OgiHRERwcCBA1t8TlmWMZlMGI1GzGazx4VfntJ43KvRaFi1uZq8k3Veff6WSO+Xyh9u7bxI0Ol0LF68mN/97ndkZ2f7aJRN+ctf/sJ///tfvvnmG/cJh8Ph4K9//Ssffvgh27Zta9JlYsmSJdTX17Nq1aouF3F7mT4xCSoodIEuxUglPvoGIQRFRUXk5uaydu1a/Pz8WLhwIVlZWSQnJ7coGnQ6HSdOnGDMmDHuHXGz2Yxer0er1Xa4o2BncDqd7pMGq9XGV0fD0dsjfX7fzEQL189NbfOa1kTCJ598wiuvvMKGDRvcO/u+RomR3YvPLfIMBgO1tbXMmjXL7dj32GOP8ctf/pK6ujoefvhhKisrfT2Mc46goCCysrL473//y969e1mwYAEff/wx06ZN49e//jVbtmxxm7LV19ezZ88eYmJiWhUJACqVivDwcJKTk8nIyCA5OZnw8HCvOSlKkkRERAT/22XrFpHQPy3FI5HQWrqRwWBg2bJl3Hvvvd0mEgBOnz7NmDFjmkxoR44c4euvv2bKlCnEx8e7c2qrqqpYt24dN9xwQ2+bABUUFNpBiY++QZIkMjMzefDBB9m+fTvvvfcearWaW265hTlz5vCvf/2L0tJS9wl6SUkJJ06cYNy4cU3SZkJCQkhOTmbEiBEMGzaMpKQkn+be+/n5ER8fz+DBQ/gmL6Z7REJ8+yIhMTGxRZGwYcMGXnzxRdatW9dtIgGUGNnd+FwoSJJEYGAgp06dAnB/eDfffDM///nPOXjwIJ9//jmA19NezhcCAwO56qqrePPNN9m/fz/XXnstGzZs4KKLLuKWW25h9uzZlJWV0a9fP4+fU5Ik9yI6IyODlJQUr/SFfvXjE+w9VNSl5/CEfmnJ/PG20R6JhJZ2l4xGI9deey133nknS5cu9eVQmzF06FB27NjR5O/hgw8+oK6ujjvuuAP46W/l1VdfJTk52efF1QoKCt5HiY++R5Ik+vXrx29+8xu3sVt4eDi/+tWvmDVrFitWrOBnP/sZ48aNa1MEBAcHk5yczPDhwxkxYgTJyck+ycWXZcFLOaepM/k+z39gnIXr57UtEhISEkhJSWn2+GeffcYzzzzD+vXriY6O9tUQW0SJkd2LT1KPnE4nQgi3ycY111zDkSNH2Lp1K3FxcbhcLveCc/HixVRUVLBz587O3EqhDSorK5k9ezYZGRkUFRUxZswYsrOzO2Re0xJms9ld13B2t4j20BlsfLmrkr3Hqqip0YLwbnoTQFpqMn+6fQx+bYiE0NDQVo+gzWYzy5YtY/ny5dx0001eH197HDlyhBtvvJGsrCyuuuoq3nvvPT744APuvvtuHnroIaBhEpQkibS0NG666Sb+8pe/eO3kx4v0iWNVBYUu0OEYqcTH3sOrr77KM888Q2ZmJrW1tVx11VUsXLiQYcOGedzi2263o9Vq0ev1mEymLo3H5ZL596pydFbfi4QBcWZunJ/W5jXx8fGkpTW/ZsuWLTz22GNs3LixVVNSX6LEyO7F60Lh2LFjPPbYY5SXlzNgwACuu+46Jk2axBVXXEFERASbNm1qosL/85//8Oabb7Jt2zafGnOcj/z2t7/lyiuv5IorrsDlcvHdd9+5zWuGDh1KdnZ2h8xrWsJisbhFQ2Oqk6eYrE62fFfJ7iNVVFbVIeS2+1p7QmpqMg91QSRYrVauvfZalixZwq233tpjxi2rV6/mj3/8IwaDgUGDBvGzn/2M2267DZVKhdPpxM/Pj3Xr1rFs2TK+++47xo0b1yPjbIc+MQkqKHSBDsVIJT72HiorK7ntttt4//33CQsLQ6PRsHbtWlavXs3p06e54ooryM7OZuTIkR4vMB0Oh7t7ktFo7PCYNHo7n3xdQ3kdyCrfFTCnx5q5aUHbIiEuLq7FLIRt27bxpz/9iY0bN7aattsdKDGy+/CqUMjLy2Py5MnMnz+fQYMG8cUXX1BfX8+UKVO4+eabuf322wkPD+e1114jIyOD4OBgbrvtNoqLi1m/fr3PzTnONxoV9dnIsszevXvd5jUDBw50m9d0JYfParW6RUNHu0VYbU627qlm16EqTlfUIrs6dlIBkJqSzEN3tC0SQkJCSElJafF9sdlsXH/99cydO5df/epXvcLdsaSkhLi4OLeYKy4uJjAw0H2UGhUVxfvvv99b7et7/g1UUPAtHsdIJT72PlqLkXq9nvXr17N69WqKioq4/PLLycrKYty4cR6LBqfT6RYN9fX1HR5bYZmRHQf0lNaAkyCvxaP+MWZuXti2SIiNjaV///7NHt+5cycPPPAAGzZsIDW17ZSl7kKJkb7Ha0JBCMGf//xnTpw4QU5ODtCQwvHaa6/xxhtvMHz4cB566CHuuOMOysrKiI2NJTU1la1bt7J9+3bGjBnTxZei0BkazWtycnL49NNPSUlJYeHChcybN69LeYc2m80tGjraLcLhcLHjQC07D1Rw6nQtTg9OKuLj47j/xiFER0W0OqG2JRLsdjs33ngjM2bM4Le//W2vEAlnY7PZePrpp3n00UfJysrik08+4ZNPPiErK6unh9Yave9NVFDwLh7FSCU+9l3q6+vdbclPnDjBZZddRlZWFhdccIHHosHlcrkdoQ0GQ4frTcoqzXxzQE9RpQuHCEKSOpdCkxpl4pfZbdcqxsTEkJ6e3uzx3bt3c88997Bu3boWRURvQImRvsGrJwo333wzeXl57Nixw/2Y2Wzm3Xff5dVXX2Xx4sU89NBDvPzyy5SUlBASEsI111zTm13zziuEEBw7dsxtXhMdHU1WVhbz58/vkHnN2djtdrdosFqtHv87q9XKsWPH0Tvi2XNMy8nSGuw2a7NFfHJyIiuW9Uev12IymYiIiCA2NrZJx6bg4GBSUlJanNgdDge33HILkyZN4ne/+12vFAlnsm7dOl599VU2bdrEqFGjeOSRR5g/f35v3HHs3W+kgkLX8ThGKvGx72OxWNxtyQ8ePMj06dPJzs5m6tSpHjf6kGXZ7Qit1+s7LBqq6qxs26+j8LQTqysIyUOxEhekYeZoG5IkERMTQ1RUVLNd9tZEwv79+7nrrrtYs2ZNm50TewtKjPQuXhEKjcd3L7zwAu+99x5vvPEGo0aNcv9er9fzl7/8hS1btvDNN990iyGHQtcQQpCfn+82rwkODiYrK4sFCxaQmJjY6cW0w+FwiwaLxdLqdVarlRMnTpCZmUl4eLh7TPuPa9i6p5Ki0hosZjPJyUn8+c5xBPg1TJayLGMwGKirq6O+vp7Q0FBSU1MZOXJki/4STqeT22+/neHDh/PnP/+514uEM6msrOSRRx6hoqKCp556iuHDh/f0kM6m77yZCgqdo90YqcTHcxObzcbmzZtZtWoVe/bsYdq0aWRnZ3PRRRe5C9XbozFeNYqGjngXlZeXU1Ft4JQ2irwyJ2ZH66IhOdLEbYsaThJaM3hLSUkhPT29WQw8fPgwt956Kzk5OQwZMsTj8fUGlBjpHbx6olBYWMiFF17IVVddxfPPP09UVJT7dxUVFaSmprJ69Wp3T/rW8gMVehdCCE6ePOk2r1GpVG7zmtZSeTzB6XS6RYPZbHY/3pJIaIljRQYG9Q9zi4SWxu1wOFCr1Wi1WsLCwkhISCA2NhY/Pz9cLhcrVqwgLS2NJ554Qvkueh/lDVU41/E4Rirx8dzF4XDw1VdfkZOTw86dO7ngggvIyspi5syZHhehCyEwGAzu0waXq/XmHuXl5RiNRgYNGuQ+JTeYHGzfr+VYsR2jPRBJ1XDCkRxp5tbs1Ba/S40Gb3a7nbi4OOLj40lISCAsLAxJkjh27Bi/+MUv+Oijj3rjIvtcoE/8gXu969FXX33F3Llzufnmm3n00UdJTEwEoLa2ljlz5vDss88yc+bMzo3Wy5jNZvz9/T1W/woNk1lZWRm5ubl88sknOJ1O5s+fT1ZWVou7EZ7icrkwGo3U1dWxb98+MjIy2hQJnhAUFERqaioqlcrtCl1dXc2uXbt47733CA0NJTMzk+eff743tk07F+gTk6CCQhfoUIxU4uO5j9Pp5JtvviEnJ4etW7cybtw4srKymDVrlscFtUIIjEajuxj6zDbk5eXlmEwmMjMzW41bVquTbw7oqDPYuebyljv8NRIZGcnAgQNxuVzU1tZSXV3N888/jyzL7N+/n1WrVjF27NiOvQkKntInYqRPfBTWr1/P0qVLueKKK1iyZAnjxo3jvffe45133mH37t0dMv7yFUePHuWmm27iT3/6EwsXLlQWip1ACEFlZSWrV69m9erVGI1G5s2bR1ZWFoMGDeqwaLBYLBw8eJChQ4eiVqsxmUyYTKZOGQ0FBgaSmpraYt6oLMv8+te/pqCgALvdTlRUFI899hhTpkzp8H0U2qRPTIIKCl2gw5OTEh/PH1wuFzt37iQ3N5cvv/ySESNGkJWVxZw5czpk1tYoGo4dO4ZOp2tTJHSEiIgIMjIymsXqI0eO8Otf/5qEhASKi4u59NJL+ec//6l8D7xPn4iRPhEKAPv27eO+++6jsLDQvSvxwQcfMH78+M4+pdcoKSlh7ty5lJaWEhoayhtvvMFVV12l/BF0kZqaGtasWUNubi51dXXMnTuXrKwsj8xrGkXCiBEjmrRolWUZk8mE0WjEbDZ7lMPZnkh46KGHsFqtvPTSS6hUKoqLi/Hz82vRWEahS/SJSVBBoQt0KkYq8fH8Q5Zldu/eTU5ODp9//jmZmZlkZWVx5ZVXenR6XlxcjMFgYODAgdTX17tThjpLayKhpKSEa6+9ltdff50LLrgAh8PBvn37lI0039AnYqTPhAKAwWBAo9FgNBpJSkrqUuccb+FwOHjhhRfYtm0bTz/9NI8//jhr165l5cqVymToRTQaDevWrSM3N5fTp08zZ84cFi1a1KJ5TWsi4WyEEG7RYDKZWhQNbYkEIQSPPfYYtbW1vPbaax53qVDoNH1iElRQ6AKdjpFKfDx/kWWZgwcPsmrVKv73v/+Rmprqdhk+s3alkZMnT1JfX8+oUaOafAZmsxm9Xo9Wq+1QG/Lw8HAyMjKafZ5lZWUsW7aMl19+malTp3b69Sl4TJ+IkT4VCr2VL774Ar1ez5IlSwC44YYbWL9+Pe+99x5z585VFpBeRq/Xs2HDBlavXk1hYSGzZ88mKyuL8ePHk5eXR35+PjNmzOiQ2ZsQArPZ7BYNLpeLgIAA0tLSWhUJ//d//0dJSQlvv/228hl3D31iElRQ6ALnXIxU4mP3IoTgyJEjbi+j2NhYsrOzmTdvHrGxseTk5DB48GBGjx7dplCzWq1otVp0Ol2bbcjDwsJaTF2qqKhgyZIlPP/881xyySVee30KbdInYuR5IxScTicul6vVPrrLly9n3bp1rFy5krlz5wKwZcsWJk6c2CXjMYWmGI1Gt3nNwYMHMZvN/OEPf+D666/vUgAym80EBAS02AJVCMGzzz7L0aNHee+991q8RsEn9IlJUEGhC5wTMVKJj70DIQQ//PADOTk5bNiwAbvdTkBAAP/973871GHQZrOh1WrR6/VNOgq2JhKqqqpYvHgxTz/9NLNmzfLqa1Jokz4RI88LoXDs2DEee+wxysvLycjI4Morr+S6664DGo5aG7s6NE6G77zzDhs2bGD79u1s3bqVhISEnhz+OUlRURGLFi3ixhtvZP/+/ezfv7+JeY23FvNCCP7973+za9cuPvroI5938LBarb3VKr4n6BOToIJCF+jzMVKJj72Tv/3tb2zfvp2LLrqI9evXExAQwIIFC8jOziYpKclj0WC329HpdFgsFvr169dMJNTW1nL11VfzxBNPcOWVV/ripTRBiZFN6BMx8pwXCnl5eUyePJn58+czaNAgvvjiC0wmExMmTODNN98EcKt2gBtvvJH//ve/hIWFsWXLFiZNmtSTwz9n+c9//sOkSZOYMGEC8JN5TU5ODrt372bq1KlkZ2dz8cUXd3pxL4TgP//5D1u2bCE3N9fjftadob6+nrVr1/Lpp5+Sn5/P8uXLWbFixfneB/28fvEK5wV9OkYq8bF3YjKZ+Mtf/sKTTz6Jn58fQghOnTrlbksuyzLz589n0aJFpKWldTrOaDQarr76ah5++GHmz5/v5VfRFCVGtkifePHntFAQQvDnP/+ZEydOkJOTAzSkqLz22mu89tprjBo1ig8//BBoOHpVqVT8+te/5oMPPuCbb75hxIgRPTn88xaHw8HXX39NTk4OO3bsYNKkSWRnZ3fYvOatt95i48aNfPLJJz7fwbjzzjtZu3Ytc+bMYfTo0bz44ossXbqUp556yqf37eX0iUlQQaEL9NkYqcTHvokQgoqKCndbcrPZ7PYyaqmLUWvodDoWL17Mgw8+yKJFi3w8aiVGtkLfiJFCiLZ++jw33XSTmDZtWpPHTCaTeOWVV8TYsWPFH/7wB/fjb775ppAkSezZs6e7h6nQCg6HQ3z11VfirrvuEiNHjhQ/+9nPxMcffyzq6uqEyWRq9efll18Ws2fPFmaz2edj/Oyzz0RwcLB4/fXX3Y/l5OSI6OhoceLEiSav5TyjvflF+VF++vpPn0aJj32fqqoq8corr4jLL79cTJo0STz88MNi7969wmg0thofKyoqxEUXXSQ+/PDDbhmjEiNbpafnL49+ztleZ0I0bPRMmDABp9PJkSNH3L8LCQnh2muvZdasWWzevJmamhoAxowZQ1FRERMnTuyRMSs0x8/Pj5kzZ/Liiy9y8OBB7rzzTnbu3MmMGTO46aab+OSTTzCZTE3+zYcffshHH33EmjVrCA4O9vkY//KXv3DllVe6u4QAjB07FlmW3d0nduzYwYoVK5g2bRr33XcfdXV1Ph+XgoKCQkso8fHcISEhgdtvv53PP/+c//3vf6Snp/Pwww9zySWX8MQTT3DkyJEmrcSNRiPXXnstd9xxB9dcc023jFGJkX2cdpREn6egoEDExcWJ5cuXC61W2+R35eXlQpIk8cknn/TI2BQ6j8vlErt27RIPPPCAGDNmjFi0aJF46623xGuvvSYuueQSYTAYumUceXl5QpIk8b///a/J4x9//LEYPXq02LVrl1i9erUYMGCAmDRpknj55ZfFtGnTxIwZM0R9fX23jLEH6fGdEOVH+fHxT59GiY/nLlqtVrz77rsiOztbjB07Vtx///3iyy+/FJdeeql44403um0cSoxsk56evzz6OacnwUa2bNkiAgMDxR133CEqKyvdj9fU1Ijx48eLr776qucGp9BlXC6X2L9/v3jwwQdFenp6s4DnSx577DExaNAgUVFR4X7MbreLRx99VAwfPlwcPXpUDBgwQPz6178W1dXVQgghfvjhB9G/f3/x5ptvdts4e4gen+CUH+XHxz99HiU+nvsYDAbx4YcfismTJ4u7775byLLcbfdWYmSb9PT85dHPedFQ/tJLL2XVqlUsXbqU8vJylixZwrhx43jvvfcoLy8nMzOzp4foEUKI871DQIuoVCrGjRvHuHHjur0w6vTp04wZM6aJWdzhw4fZtm0bF1xwAXv27KGuro4//vGPxMfHAzBkyBD8/Pyorq4GlM9VQUGh51Di47lPeHg411xzTbelGp2JEiP7PueFUABYsGABO3fu5L777uNPf/oT/v7++Pv7s2nTJvr169fTw2vCDz/8wKuvvkp5eTnjxo1jzpw5TJgw17O3oQAAB+dJREFUAUmSlD+YXsbQoUNZu3YtQvzU/OSDDz6gurqaP/7xjzz66KMsX76cxMREXC4XarWagoICIiMj3QZzyuepoKDQkyjxUcFXKDGy73POFjO3xIQJE1i7di3btm1j7dq1bN++nfHjx/f0sJpw7NgxpkyZQl5eHmq1mmeffZZ77rmHZ599FsA9GSr0DubMmUNqairPPPMMe/bs4Te/+Q1vv/02N954I0OHDmXHjh3ceOONwE+T3Y4dO1CpVPTv378nh66goKDgRomPCr5AiZF9n3PaR6Gv4XA4+OUvf4m/vz+vv/46AMXFxTz55JPs3buXxYsX86c//QlQjuJ6E6tXr+aPf/wjBoOBQYMGce2113LXXXexatUq7r//fr755hv3hGc2m7nrrrsoLi5m9erVxMTE9PDofYryBVU411FiZDehxMe+ixIjW6VPfEnPqxOF3o6/vz8VFRXuVmZCCAYMGMBjjz3GRRddxLp161i5ciWgHMX1Jq6++mpOnDjBt99+y6ZNm7jrrrsASEpKwmAwkJeX57527dq1HDlyhLlz557rE6CCgoKC11DiY99FiZF9G0Uo9BJcLhcOh4O0tDTq6urc3gCyLJOSksL9999PZGQkH330UQ+PVKE10tPTCQ0Ndf//5MmTueiii3j33XfZv38/b7/9Nrfffjvjx4/n5z//eQ+OVEFBQaHvoMTHcwMlRvZNlNSjHsbpdOLn91NN+datW5k1axZ///vfuffee4GGyVClUrFr1y6mTp3Kvn37GDduXA+NWMETGo++Dx48yD333MPBgwcZOnQow4cP5/XXX3cXaZ3jKNt6Cuc6Soz0IUp8PHdRYiTQR2LkedP1qDeSl5fHypUruf766xk8eDAAM2bM4KmnnuKBBx4gJCSEO+64A5Wq4eAnLCyM4cOHExIS0pPDVvCAxqPvsWPH8vXXX1NbW4vD4SA5ORlQcmgVFBQU2kKJj+c2SozsOyhCoYcoKCjgoosuoq6uDp1Ox29/+1sGDBgAwJ133onJZHIX9Fx99dUMHDiQ9957D6vVSmRkZM8OXqHDxMXFNfl/ZQJUUFBQaBklPp5/KDGy96KkHvUAJpOJe+65B4fDwbRp07j33nu56aabeOCBB9yToSzLrFy5kgcffBAhBFFRURiNRtavX9/rWtYpKLSCMtMrnOsoMdLLKPFR4TyiT8RI5UShB1CpVIwfP56YmBiuu+46EhMT3YU7999/PwMHDkSlUnHDDTcwffp0SktLsVgsjBo1itTU1B4evYKCgoKCgm9Q4qOCQu9COVHoIUwmU5Pq/9WrV3PDDTdw44038uCDDzJgwACcTifl5eWK6YhCX6VP7JYoKHQBJUb6ACU+Kpwn9IkYqZwo9BCNk6DL5UKlUnH11VcjhGD58uVIksRvfvMbXnnlFYqLi3n33XcJCQlRcvYUFBQUFM55lPiooNB7UE4UegFCCIQQqFQqVq9ezS9+8QtiY2MpLS1l9+7dSqs3hb6KErkVznWUGOljlPiocA7TJ2KkIhR6EY3twObMmcPevXvZunUro0aN6ulhNaGqqgqbzaYc9yp4Qp+YBBUUuoASI7sJJT4qnIP0iRipODP3ImRZ5t5772Xz5s189dVXvW4SPH78OAMGDOCOO+6grKysp4ejoKCgoHCeoMRHBYWeQREKvYyRI0eyb98+xowZ09NDaUJVVRW33norM2bMYN++fdx+++3KZKigoKCg0G0o8VFBoftpL/VIoZuRJEkSvfBDkSTpSmA58DRgA74C9gC3CyGUGVFBQUFBwaco8VFBoftRhIKCR0iSFAeMEkJ8/eP/jwK2ALuBO4QQp358XCWEkHtsoAoKCgoKCt2IEh8VzmUUoaDQKpIk+QkhnK09LknSSBp2TnYDtwPVwC1AgRDii+4drYKCgoKCQvegxEeF8wVFKCi0iCRJQ4CfA+8JIfJ/fMx97Nv435IkjQC+BnYBBmApMFwIUdgzI1dQUFBQUPAdSnxUOJ9QDNcUmiFJ0iBgBxALREmS9E8hRPGZuaE/ToKSEOKYJEmXA/sBLXChMgkqKCgoKJyLKPFR4XxDEQoKTZAkKRT4PfApsBN4FvCTJOlpIUTxmdf+OBkGArcCJmC6EOJYNw9ZQUFBQUHB5yjxUeF8RBEKCmcj07D7oRFCfCBJUhWwEqClyRAYA8wELlMmQQUFBQWFcxglPiqcdyg1CgrNkCQpVAhhOuP/rwb+C7wDPCWEKJEkSQWkCiFOSZIULYTQ9tR4FRQUFBQUugMlPiqcbygnCgrNaJwEJUlSA7IQYrUkSRLwLiAkSXoOuAPIkCTpZ8okqKCgoKBwPqDER4XzDeVEQaFNfpwAJSGE/OPOyZtAHdAfmCyE2N+jA1RQUFBQUOgBlPiocD6gCAUFjzij3dvnwERghhDiSE+PS0FBQUFBoSdR4qPCuYySeqTgKSpJkp4GZgPjlElQQUFBQUEBUOKjwjmMqqcHoNCnOApMEEIc6umBKCgoKCgo9CKU+KhwTqKkHil4zJnOkwoKCgoKCgoNKPFR4VxFEQoKCgoKCgoKCgoKCs1QUo8UFBQUFBQUFBQUFJqhCAUFBQUFBQUFBQUFhWYoQkFBQUFBQUFBQUFBoRmKUFBQUFBQUFBQUFBQaIYiFBQUFBQUFBQUFBQUmqEIBQUFBQUFBQUFBQWFZihCQUFBQUFBQUFBQUGhGf8PV3i0K1dKNCsAAAAASUVORK5CYII=\n", + "image/png": 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\n", 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" ] }, - "execution_count": 73, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -1133,7 +1579,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 25, "id": "9857366d", "metadata": {}, "outputs": [ @@ -1141,10 +1587,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "P= [0.77800629]\n", - "P= [0.3925917]\n", - "[0.77800629 0.77800629]\n", - "[0.3925917 0.3925917]\n" + "P= [3.40470278]\n", + "P= [2.35757073]\n", + "[3.40470278 3.40470278]\n", + "[2.35757073 2.35757073]\n" ] } ], @@ -1161,41 +1607,25 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 26, "id": "db872d90", "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimization terminated successfully.\n", - " Current function value: 0.550001\n", - " Iterations: 73\n", - " Function evaluations: 126\n" + "ename": "TypeError", + "evalue": "createCircuit() missing 1 required positional argument: 'depth'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mout2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mjob_b2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxb2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mqaoa\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgetlocalmin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mxb_0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbackend\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0museExco\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;31m# plot histogram\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mmd\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mjob_b2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_counts\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mpl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mpl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mk\u001b[0m \u001b[0;32min\u001b[0m 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\u001b[0mfunction_wrapper\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/tmp/OQC/optimization/newbeginning.py\u001b[0m in \u001b[0;36mgetval\u001b[0;34m(self, x, backend, mu, useExco, depth, sv)\u001b[0m\n\u001b[1;32m 215\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 216\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0museExco\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 217\u001b[0;31m \u001b[0mqc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcreateCircuit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0museExco\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msv\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msv\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 218\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 219\u001b[0m \u001b[0mqc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcreateCircuit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdepth\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msv\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msv\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: createCircuit() missing 1 required positional argument: 'depth'" ] - }, - { - "data": { - "text/plain": [ - "(0.0, 1.0)" - ] - }, - "execution_count": 38, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" } ], "source": [ @@ -1209,18 +1639,10 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "id": "bd442ac2", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[7.85264928e-01 3.92099418e-01 3.30659526e-01 2.25933073e-04]\n" - ] - } - ], + "outputs": [], "source": [ "print(xb2)" ] @@ -1267,48 +1689,15 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": null, "id": "a91a7fa4", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimization terminated successfully.\n", - " Current function value: 0.523343\n", - " Iterations: 10\n", - " Function evaluations: 21\n" - ] - }, - { - "data": { - "text/plain": [ - "(0.0, 1.0)" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "qaoa=QAOASwe(CR, FR)\n", "\n", "mu=1\n", - "E, x0, job, ji = qaoa.getElandscape(backend,mu)\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu)\n", "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu)\n", "\n", "# plot histogram\n", @@ -1320,21 +1709,10 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": null, "id": "f510b25d", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "P= [5.62375189]\n", - "P= [1.11895102]\n", - "[5.62375189 5.62375189]\n", - "[1.11895102 1.11895102]\n" - ] - } - ], + "outputs": [], "source": [ "depth=2\n", "inter0 = INTERP_init(xb[::2])\n", @@ -1348,43 +1726,10 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": null, "id": "15243e59", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimization terminated successfully.\n", - " Current function value: 0.388510\n", - " Iterations: 104\n", - " Function evaluations: 181\n" - ] - }, - { - "data": { - "text/plain": [ - "(0.0, 1.0)" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "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\n", - 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "out2, job_b2, xb2 = qaoa.getlocalmin(xb_0, backend, mu,depth=2)\n", "# plot histogram\n", @@ -1459,7 +1804,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.9.5" } }, "nbformat": 4, diff --git a/newbeginning.py b/newbeginning.py index c2bf715..57d71bf 100644 --- a/newbeginning.py +++ b/newbeginning.py @@ -14,63 +14,94 @@ def __init__(self, CR, FR): def createCircuit(self): raise NotImplementedError - def cost(self, binstring,mu=1, plotsolutions=False): + def cost2(self, binstring,plotsolutions=False): x = np.array(list(map(int,binstring))) - excost=np.sum((1 - (self.FR @ x))**2) + exco=np.sum((1 - (self.FR @ x))**2) if self.CR is None: - return excost + cost=0. else: - if plotsolutions and excost==0: - print(x, (self.CR @ x)) - return ( (self.CR @ x) + mu *excost ) + cost=(self.CR @ x) + if plotsolutions and excost==0: + print(x, (self.CR @ x)) + return cost, exco + + def cost(self, binstring,plotsolutions=False): + x = np.array(list(map(int,binstring))) + exco=np.sum((np.sum(self.FR*x,1) -1)**2) + if self.CR is None: + cost=0. + else: + cost=np.sum(x*(self.CR**2)) + return cost, exco def cost_vector(self, mu, plotsolutions=False): state_strings = np.array([''.join(i) for i in itertools.product('01', repeat= self.R)]) costs=np.zeros((2**self.R)) + co=np.zeros((2**self.R)) + ex=np.zeros((2**self.R)) for i in range(2**self.R): # Reverse string since qiskit uses ordering MSB ... LSB - costs[i] = self.cost(state_strings[i][::-1], mu=mu, plotsolutions=plotsolutions) + co[i], ex[i] = self.cost(state_strings[i][::-1], plotsolutions=plotsolutions) + costs[i] = co[i]+mu*ex[i] if plotsolutions: print("min cost=", np.min(costs)) - return costs + return costs, co, ex def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestatevec=True): if usestatevec: - costs=self.cost_vector(mu) + costs, co, ex =self.cost_vector(mu) if nb==None and ng==None and nd==None: E=0 + Ecost=0 + Eexco=0 if usestatevec: statevector = job.result().results[0].data.statevector probs = np.abs(statevector)**2 E = costs @ probs + Ecost = co @ probs + Eexco = ex @ probs else: res_dict = job.result().get_counts() for key in res_dict: # Reverse string since qiskit uses ordering MSB ... LSB - E += res_dict[key]*self.cost(key[::-1], mu=mu) + co, ex = self.cost(key[::-1]) + E += res_dict[key]*(co+mu*ex) + Ecost += res_dict[key]*co + Eexco += res_dict[key]*mu elif self.num_params==2: E=np.zeros((nb,ng)) + Ecost=np.zeros((nb,ng)) + Eexco=np.zeros((nb,ng)) for i in range(nb): for j in range(ng): if usestatevec: statevector = job.result().results[j+ng*i].data.statevector probs = np.abs(statevector)**2 E[i,j] = costs @ probs + Ecost[i,j] = co @ probs + Eexco[i,j] = ex @ probs else: res_dict = job.result().get_counts()[j+ng*i] for key in res_dict: # Reverse string since qiskit uses ordering MSB ... LSB - E[i,j] += res_dict[key]*self.cost(key[::-1], mu=mu) + co, ex = self.cost(key[::-1]) + E[i,j] += res_dict[key]*(co+mu*ex) + Ecost[i,j] += res_dict[key]*co + Eexco[i,j] += res_dict[key]*ex else: E=np.zeros((nb,ng,nd)) + Ecost=np.zeros((nb,ng,nd)) + Eexco=np.zeros((nb,ng,nd)) for i in range(nb): for j in range(ng): for l in range(nd): statevector = job.result().results[l+nd*(j+ng*i)].data.statevector probs = np.abs(statevector)**2 E[i,j,l] = costs @ probs - return E + Ecost[i,j,l] = co @ probs + Eexco[i,j,l] = ex @ probs + return E, Ecost, Eexco def mix_states(self, qc, beta): @@ -82,7 +113,7 @@ def mix_statesY(self, qc, beta): return qc - def apply_exco(self, qc, FR, gamma): + def apply_exco2(self, qc, gamma): for r in range(qc.num_qubits): hr = 0.5 * self.FR[:,r] @ (np.sum(self.FR,axis = 1) - 2) @@ -97,7 +128,31 @@ def apply_exco(self, qc, FR, gamma): qc.cx(r, r_) return qc - def apply_cost(self, qc, CR, gamma): + + def apply_exco(self, qc, gamma): + for i in range(qc.num_qubits): + w=0 + for j in range(self.F): + w += .5 * self.FR[j,i]*(np.sum(self.FR[j,:])-2) + if self.CR is not None: + w += .25 * self.CR[i]**2 + if abs(w)>1e-14: + wg = w * gamma + qc.rz(wg, i) + ### + for j in range(i+1, self.R): + w=0 + for k in range(self.F): + w += 0.5 * self.FR[k,i]*self.FR[k,j] + + if w>0: + wg = w * gamma + qc.cx(i, j) + qc.rz(wg, j) + qc.cx(i, j) + return qc + + def apply_cost(self, qc, gamma): for r in range(qc.num_qubits): hr = 0.5 * self.CR[r] if not np.isclose(hr, 0): @@ -126,7 +181,7 @@ def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np. circuits.append(qc) job = execute(circuits, backend) - E = self.measurementStatistics(job, nb, ng, nd, mu=mu) + E, Ecost, Eexco = self.measurementStatistics(job, nb, ng, nd, mu=mu) if self.num_params==2: i_b,i_g=np.where(E==np.min(E)) @@ -147,7 +202,7 @@ def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np. x0=np.array((gamma[i_g],beta[i_b],delta[i_d])) index=i_d+nd*(i_g+ng*i_b) - return E, x0, job, index + return E, Ecost, Eexco, x0, job, index global g_it global g_jobs @@ -165,7 +220,7 @@ def getval(self, x, backend, mu, useExco, depth, sv): job = execute(qc, backend) - val = self.measurementStatistics(job, mu=mu) + val, _, _ = self.measurementStatistics(job, mu=mu) g_values[str(g_it)] = val g_jobs[str(g_it)] = job @@ -207,7 +262,7 @@ def getfig(E, beta_max=np.pi,gamma_max=2*np.pi,nb=20,ng=40): return fig -def getSpectrum(CR, FR): +def getSpectrum(CR, FR, mumax=2): Ham=False if Ham: I=np.array((1,1)) @@ -300,7 +355,6 @@ def getSpectrum(CR, FR): qaoa = QAOAbase(CR, FR) n=2 - mumax=4 R=CR.shape[0] ue = np.zeros((2**R,n)) x=np.linspace(0,mumax,n) @@ -310,7 +364,8 @@ def getSpectrum(CR, FR): for i in range(2**R): binstr="{0:b}".format(i).zfill(R) lab[i]=binstr - ue[i]=np.array((qaoa.cost(binstr,0), qaoa.cost(binstr,mumax))) + co, ex = qaoa.cost(binstr,0) + ue[i]=np.array((co, co+mumax*ex)) return x, ue,ue,ue,lab @@ -326,20 +381,36 @@ def createCircuit(self, x,useExco,barrier=False,sv=None): qc = QuantumCircuit(self.R) if sv is not None: qc.initialize(sv) - if barrier: - qc.barrier() - qc.h(range(self.R)) + else: + qc.h(range(self.R)) if barrier: qc.barrier() i=-1 for ue in useExco: i+=1 if ue: - qc = self.apply_exco(qc, self.FR, gamma[i]) + qc = self.apply_exco(qc, gamma[i]) qc = self.mix_states(qc, beta[i]) else: - qc = self.apply_cost(qc, self.CR, gamma[i]) + qc = self.apply_cost(qc, gamma[i]) qc = self.mix_states(qc, beta[i]) + #if False: + # qc.rxx(beta[i], 0, 1) + # qc.ryy(beta[i], 0, 1) + # qc.rxx(beta[i], 1, 0) + # qc.ryy(beta[i], 1, 0) + #else: + # # 0011 <-> 1101 + # qc.rxx(beta[i]/2, 2, 0) + # qc.ryy(beta[i]/2, 2, 0) + # qc.rxx(beta[i]/2, 2, 1) + # qc.ryy(beta[i]/2, 2, 1) + + # qc.rxx(beta[i]/2, 0, 2) + # qc.ryy(beta[i]/2, 0, 2) + # qc.rxx(beta[i]/2, 1, 2) + # qc.ryy(beta[i]/2, 1, 2) + if barrier: qc.barrier() if barrier: @@ -358,17 +429,16 @@ def createCircuit(self, x,mu,depth,barrier=False,sv=None): qc = QuantumCircuit(self.R) if sv is not None: qc.initialize(sv) - if barrier: - qc.barrier() - qc.h(range(self.R)) + else: + qc.h(range(self.R)) if barrier: qc.barrier() i=-1 for d in range(depth): i+=1 - qc = self.apply_exco(qc, self.FR, gamma[i]) + qc = self.apply_exco(qc, gamma[i]) qc = self.mix_states(qc, beta[i]) - qc = self.apply_cost(qc, self.CR, delta[i]) + qc = self.apply_cost(qc, delta[i]) qc = self.mix_states(qc, beta[i]) if barrier: qc.barrier() @@ -385,16 +455,15 @@ def createCircuit(self, x,mu,depth,barrier=False,sv=None): qc = QuantumCircuit(self.R) if sv is not None: qc.initialize(sv) - if barrier: - qc.barrier() - qc.h(range(self.R)) + else: + qc.h(range(self.R)) if barrier: qc.barrier() i=-1 for d in range(depth): i+=1 - qc = self.apply_exco(qc, self.FR, mu*gamma[i]) - qc = self.apply_cost(qc, self.CR, gamma[i]) + qc = self.apply_exco(qc, mu*gamma[i]) + qc = self.apply_cost(qc, gamma[i]) if barrier: qc.barrier() qc = self.mix_states(qc, beta[i]) diff --git a/newbeginning_unittests.py b/newbeginning_unittests.py index 6732f7b..4651be6 100644 --- a/newbeginning_unittests.py +++ b/newbeginning_unittests.py @@ -37,16 +37,18 @@ def test_qaoa2qubit(self): for s in state_strings: # check cost function - self.assertAlmostEqual(qaoa.cost(s, mu=mu), solution[s]) + co, ex = qaoa.cost(s) + self.assertAlmostEqual(co+mu*ex, solution[s]) # check measurementstatistics function circuit = qaoa.createCircuit(s) job = execute(circuit, backend) res_dict = job.result().get_counts() statevector = job.result().results[0].data.statevector - - self.assertAlmostEqual(qaoa.measurementStatistics(job, mu=mu, usestatevec=True), solution[s]) - self.assertAlmostEqual(qaoa.measurementStatistics(job, mu=mu, usestatevec=False), solution[s]) + e,_,_ = qaoa.measurementStatistics(job, mu=mu, usestatevec=True) + self.assertAlmostEqual(e, solution[s]) + e,_,_ = qaoa.measurementStatistics(job, mu=mu, usestatevec=False) + self.assertAlmostEqual(e, solution[s]) def test_qaoa2qubit(self): for mu in [0,1,2.2]: @@ -74,7 +76,8 @@ def test_qaoa2qubit(self): #print(s, qaoa.cost(s, mu=mu)) # check cost function - self.assertAlmostEqual(qaoa.cost(s, mu=mu), solution[s]) + co, ex = qaoa.cost(s) + self.assertAlmostEqual(co+mu*ex, solution[s]) # check measurementstatistics function circuit = qaoa.createCircuit(s) @@ -82,8 +85,10 @@ def test_qaoa2qubit(self): res_dict = job.result().get_counts() statevector = job.result().results[0].data.statevector - self.assertAlmostEqual(qaoa.measurementStatistics(job, mu=mu, usestatevec=True), solution[s]) - self.assertAlmostEqual(qaoa.measurementStatistics(job, mu=mu, usestatevec=False), solution[s]) + e,_,_ = qaoa.measurementStatistics(job, mu=mu, usestatevec=True) + self.assertAlmostEqual(e, solution[s]) + e,_,_ = qaoa.measurementStatistics(job, mu=mu, usestatevec=False) + self.assertAlmostEqual(e, solution[s]) if __name__ == '__main__': From c7104475458eaed4e7a064945203c8b844cea295 Mon Sep 17 00:00:00 2001 From: Franz Georg Fuchs Date: Tue, 12 Oct 2021 16:31:59 +0200 Subject: [PATCH 09/12] update --- mixercalc.ipynb | 84 +++++++--- newbeginning 3 qubit.ipynb | 329 ++++++++++++++++++++++++++++++------- newbeginning.ipynb | 50 +++--- newbeginning.py | 172 ++++++++++++++++--- 4 files changed, 515 insertions(+), 120 deletions(-) diff --git a/mixercalc.ipynb b/mixercalc.ipynb index 9011396..623ffac 100644 --- a/mixercalc.ipynb +++ b/mixercalc.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 4, "id": "11322472", "metadata": {}, "outputs": [], @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "id": "08f0238f", "metadata": {}, "outputs": [], @@ -32,7 +32,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 15, "id": "1d0c09a3", "metadata": {}, "outputs": [], @@ -48,7 +48,31 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 16, + "id": "43a64099", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle x_{0} x_{1} + y_{0} y_{1}$" + ], + "text/plain": [ + "x0*x1 + y0*y1" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "2*simplify(a0*ad1 + ad0*a1)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, "id": "2c6eb5c0", "metadata": {}, "outputs": [ @@ -61,7 +85,7 @@ "x0*x1*x2 + x0*y1*y2 + x1*y0*y2 - 1.0*x2*y0*y1" ] }, - "execution_count": 18, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -72,15 +96,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "id": "00748220", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle x_{0} x_{1} x_{2} - 1.0 x_{0} y_{1} y_{2} + x_{1} y_{0} y_{2} + x_{2} y_{0} y_{1}$" + ], + "text/plain": [ + "x0*x1*x2 - 1.0*x0*y1*y2 + x1*y0*y2 + x2*y0*y1" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4*simplify(a2*a1*ad0 + ad2*ad1*a0)" + ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "id": "47286d39", "metadata": {}, "outputs": [], @@ -90,7 +130,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 21, "id": "338bc5ee", "metadata": {}, "outputs": [], @@ -107,7 +147,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 22, "id": "765b9d3c", "metadata": {}, "outputs": [], @@ -117,9 +157,11 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 23, "id": "7769a571", - "metadata": {}, + "metadata": { + "scrolled": true + }, "outputs": [ { "data": { @@ -135,7 +177,7 @@ " 0.0)" ] }, - "execution_count": 31, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -154,7 +196,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 24, "id": "f4f5de76", "metadata": {}, "outputs": [], @@ -165,7 +207,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 25, "id": "5c3f2969", "metadata": {}, "outputs": [], @@ -176,7 +218,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 26, "id": "7c0e1e9b", "metadata": {}, "outputs": [ @@ -186,7 +228,7 @@ "(0.0, 0.0)" ] }, - "execution_count": 50, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -197,7 +239,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 27, "id": "2e96183b", "metadata": {}, "outputs": [ @@ -207,7 +249,7 @@ "(0.0, 0.0)" ] }, - "execution_count": 51, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -241,7 +283,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/newbeginning 3 qubit.ipynb b/newbeginning 3 qubit.ipynb index 459c2f9..3be3ec7 100644 --- a/newbeginning 3 qubit.ipynb +++ b/newbeginning 3 qubit.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 32, + "execution_count": 26, "id": "a88a8c77", "metadata": {}, "outputs": [ @@ -37,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 2, "id": "1096f1c6", "metadata": {}, "outputs": [], @@ -88,15 +88,31 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 3, "id": "cbd722cc", "metadata": {}, "outputs": [], "source": [ - "FR = np.array([[1, 0,0, 0],\n", - " [0, 1,1, 0],\n", - " [0, 1,0, 1]])\n", - "CR=np.array([1,1,1,1])\n", + "# FR = np.array([[1, 0,0, 0],\n", + "# [0, 1,1, 0],\n", + "# [0, 1,0, 1]])\n", + "# CR=np.array([1,1,1,1])\n", + "# # CR=np.random.rand(4)\n", + "\n", + "# # Normalize weights\n", + "# CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "id": "22659266", + "metadata": {}, + "outputs": [], + "source": [ + "FR = np.array([[1,1, 0],\n", + " [1,0, 1]])\n", + "CR=np.array([1,1,1])\n", "# CR=np.random.rand(4)\n", "\n", "# Normalize weights\n", @@ -129,17 +145,17 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 52, "id": "65297e2a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([1., 1., 1., 1.])" + "array([1., 1., 1.])" ] }, - "execution_count": 40, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -222,7 +238,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 4, "id": "98286d13", "metadata": {}, "outputs": [], @@ -247,7 +263,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 18, "id": "5ad02c62", "metadata": { "scrolled": false @@ -258,9 +274,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 0.516114\n", - " Iterations: 12\n", - " Function evaluations: 25\n" + " Current function value: 0.350485\n", + " Iterations: 16\n", + " Function evaluations: 29\n" ] }, 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44YXc46233rpOMeryHmXZsmW5q8OWK1Q+KTdnzpz45S9/GREr1iidOnWqMS5Qd4XIJflkuWpJeR6JKFwuWdXXX38dkyZNigsuuCAGDx6c+//yfAPUzoIFC2Ly5Mnx//7f/4u99torli1bFhERp5122mrFvfvuu+Oxxx6LDh06xJVXXlmrfQu9JgHWjMaw3j/wwANjs802i4iIa665ptLnNBERn376aYwcOTIiIvr37x/f+MY3VtpeH+sbWJet6Vzys5/9LCIixo8fH0888USVbS666KKIWHEl+hNOOKHS9kLkknyef/75XDH1YYcdtlLuAbK55557YptttolWrVpFmzZtYsstt4yhQ4fW6Y6BNTnggAOiS5cuUVpaGl26dIm99947Lrvsspg9e3aN+62JXHLuuedGz549o3nz5tGhQ4fYcccd41e/+lW8//77dZscsMYpilzHLFq0KPet/upu81auQ4cOsf7660fEikLD2vj0009zj/P106NHj9zjVfupS5yU0kr7VYyTL0bFOLWdM6xr6iufVDyhVVZWFjvvvHNcc801MWfOnNz/L1myJJ555pnYZ5994vLLL68yTvmHle+8807MnDmz2v4qXu2gqm8Yd+rUKf76179Gq1at4qWXXop+/frFbbfdFmPHjo1nnnkmLrzwwthrr71iyZIl8c1vfrPWH0YA9WPTTTeNkpKSaNq0aXTt2jX23XffeOCBByJixa0U7rvvviqLvQuRS8rKyuLdd9+NiBU55Ze//GX88Ic/jLfeemuldu+//3785je/iX322WelnAfUTVlZWVx22WW5fx9xxBF1ilOo9zqFWpuUO/PMM2P69Omxxx57xPHHH1/juIC6K1QuqUnFq5a0bNkyDj/88CrbtWvXLrp16xYRK75wUdNtnrLmkoiICy64IEpKSqKkpCTatm0b2267bVx44YXx9ddfR9OmTeO6666L/v3713ZasM4aOXJk7phaf/31o3fv3nH66afHjBkzIiLi7LPPjqOPPrrO8WfPnp0rqrzsssuic+fOtdq/0GsSYM1oDOv90tLSuPPOO6NTp07xwQcfxA477BA33nhjvPTSS/H888/HlVdeGTvttFPMnj07evXqFbfcckulGBW/cFLxiyir+s9//pM7txIhL0FWazqX/Pa3v8190fx73/tenHHGGfH444/Hq6++Gn/7299i7733jnvvvTf3vqKqL5sWIpfkU/FLaD/+8Y/rPmFYh02aNCneeeedWLhwYcybNy+mTJkSt912W+yzzz4xePDgvF9uyOrpp5+OmTNnxtKlS2PmzJnxwgsvxDnnnBO9evXK3WmwKmsil7z88svxySefxJIlS2LOnDnxxhtvxNVXXx1bb711XHDBBZFSKsicgcJRFLmO+frrr3OPs3zrpbyIad68eWusn/I+quqn0HHW5JxhXVNf+aTiLeEuv/zymDx5chx00EExbty4WLRoUfznP/+J66+/Ptq1axcppTj77LOrXAQPHDgwIlbcdvu8886rsq/JkyfHiBEjcv+uOMdVY73++utxwgknxBtvvBFDhw6N3XffPfbff/+44IILolWrVnH11VfH6NGj897mBWg4mjVrFn/4wx/ijTfeqPaqT4XIJV999VWUlZVFRMTEiRPjT3/6U3Tr1i1uv/32+PLLL2PBggXxwgsv5G67+/LLL8dPfvKT1Z4frOuuuuqqGDduXESsuArATjvtVKc4hXqPUsi1yejRo+Pmm2+OZs2axQ033BAlJSU1TwKos0Llkpq8+OKLuVs7DR48ONq0aVNt2/JcMmvWrGq/kPXiiy/mrmQfUX0uyWffffeNt956K0455ZQ67Q+srG/fvjFu3Li49NJLV+tv929+85uYMWNG7L777nHiiSfWev9CrkmANaMxrfd32223mDBhQpxxxhnxySefxM9+9rPo379/DBgwIM4444xYsGBBXHTRRfHqq6/GlltuWWn//v37R4cOHSIiYsSIEZWuuF/ud7/73Up38JGXIL/6yCXrr79+PPLIIzF8+PDYeOON48orr4xDDjkkdtlllzjqqKPihRdeiMMOOyzGjBkTJ510UrVxVjeX1GTBggXxj3/8IyJWfNl1n332Wa05w7qmVatWcdRRR8VNN90Uo0ePjgkTJsRTTz0V5557bnTs2DEiIh544IEYNGhQLF26tM79bLfddvG73/0uHn744Xj99ddj7Nixceutt8YBBxwQESuufDtkyJB4/PHHq41RqFzSrVu3OOWUU+Kuu+6KV155JV5//fW4//774/jjj4/11lsvysrK4sILL4xzzz23zvMF1pDEOuWTTz5JEZEiIh1zzDF52/fo0SNFRNp8881r1c///u//5voZNWpUjW1HjRqVa3vRRRettG2fffbJbVu+fHmNcX73u9/l2o4ePXqlbU2aNEkRkfbcc8+8Y99zzz1TRKSmTZvmbQvrsvrKJxdddFGun4hI+++/f1q2bFmldqNHj84d61tvvXUqKytbafucOXPSRhttlIvzox/9KL355ptp8eLFadasWem2225LXbt2TSUlJWm99darMQ8sXrw4nXPOOalz584rja3iz84775wefPDBWs0VWOGjjz7KHUtDhw5dI3289957aeLEienNN99Mzz77bLroootS9+7dU2lpaTrmmGPS119/XeV+hcglU6dOXSlftGrVKr377ruV+lqwYEHaYYcdcu3Gjh27Rp4LWBc8//zzqVmzZikiUpcuXdKMGTPqHOsnP/lJ7rj84IMPamw7fPjwXNu//vWvK20r1Npk8eLFqU+fPiki0m9+85tK288///xcH88991yd5w0UNpfU5MQTT8wdt0888USNbT/88MPUpk2bFBGppKQknXbaaen9999PS5YsSZ9//nm67rrrUps2bVJpaWkuZr73ZDNmzEgTJ05MEydOTGPHjk0jRoxIAwYMSBGRtt9+e2sSqKXZs2fnjqlx48alu+66Kw0ePDh3PD788MN1jv3CCy+kkpKS1KxZs/Tmm29W2t6zZ88UEalnz57Vxijk+ZJV1cd7Oyh2a3O9P3To0Fzsjz76KNM+ZWVl6f/+7//SJptsUu150z59+qThw4dXG+OPf/xjrm23bt3SbbfdlmbNmpUWL16c3nzzzfTDH/4wRcRK65tVP1sCVlafueSll15KAwYMSCUlJVXmgDZt2qSTTjopzZkzp9oYhcgl1bnjjjtyMc4+++zVmSqsk2bPnl3ttunTp6cdd9wxd4xdc801Be8jpZRuuOGGXB/du3dPCxcurLJdIXLJvHnz0pIlS6rd/sorr6R27drlzsu88cYbmeYI1A9FkeuY//znP7kEf+SRR+Zt36VLlxQR6Rvf+Eat+rniiity/Tz++OM1tn3sscdybf/4xz+utO2QQw7Jbavuj1m5M888M9f2tddeW2lbq1atUkSkXXfdNe/Yd9lllxQRqXXr1nnbwrqsvvLJ//3f/620OB0/fny1bb///e/n2lX1YcBrr72WG0d1P5deemmu2LF9+/aVYsybN2+l4ukzzzwzvfPOO2nx4sXpq6++Sk899VTq379/bvF75ZVX1mq+wNr74OzLL79M/fr1y33gX11h5OrmkpkzZ67U9n/+53+qHdMjjzySa/erX/2qoPOFdcVbb72VOnTokCIitWjRIr3wwgurFe/kk0/OHZfvvPNOjW3/8pe/5Nree++9lbYXYm1S/sHFJptskubNm1ftdkWRsHoKnUuqs3DhwtS+ffvcif2qvhC2qsceeyy1bt262jzStGnTNGzYsNy/+/btW6ex/eEPf8jN/8knn6xTDOC/brvttlRSUpKaNGmSRowYUev9Fy1alLbaaqsUEen000+vsk2WosiUCrMmqYqiSFh9a3O9X9uiyOXLl6fDDz88t8/xxx+fxo8fnxYuXJjmzZuXXnzxxTRw4MDc9l/+8pdVxikrK0snnHBCjTlps802S+edd17u31dffXVB5w7Fpr5yyT333JOaN2+eO796//33py+++CItWbIkffDBB+mSSy5JLVu2TBErLm4xbdq0SjEKlUuqc+CBB2Y+rwPU3gcffJD7MtUWW2yxxvo5/vjjc8fy7bffXmn7ms4lFf31r3/NxTnhhBNWY1ZAobl99jqm4i2XstzCdv78+RGR7da4de2nvI+q+il0nDU5Z1jXrI180rlz59hxxx2rbXvggQfmHr/66quVtu+0007xxhtvxC9+8YtKt7Xu169fPPLII3H22WfnbrdSfquWii644IIYPXp0REQMHz48Lr/88ujTp0+UlpZG27ZtY//994/nnnsuBgwYECml+M1vfhNvvvlmreYMrB0dOnSIW2+9NSIi/vWvf8Ull1xSZbvVzSWr3gKz/HYPVdl3332jWbNmEVF1XgNq9tFHH8UBBxwQs2fPjqZNm8bdd98d3/72t1crZqHeo0Ssfj55991349JLL42IiGuvvXal23UDhbMmckl1HnrooZgzZ05ERPzwhz+Mpk2b5t3n4IMPjvHjx8ePf/zjaN++fe7/S0pKYsCAATF69Ojc7XEjqn6fk8W5554bu+yySyxatChOPPHEWLZsWZ3iACscc8wxcfjhh0dZWVn84he/iC+//LJW+1988cXx3nvvRY8ePeLCCy9crbEU4nwJUHiNbb1//fXXxz333BMRK86h3nzzzbHjjjtGixYtYv3114899tgjHnzwwTjmmGMiIuKaa66Jhx9+uFKckpKSuOmmm+Kee+6Jb33rWyuth9q1axennHJKjB8/fqX3WPISVK++csmMGTPi2GOPjcWLF8e2224bL7/8cnzve9+LDTbYINZbb73o1atXnHPOOfHwww9HSUlJvPPOO3HqqadWilOoXFKVzz//PJ555pmIWLHG6dOnT4FmD5Tr1atX7L///hERMWXKlPjss8/WSD8nnXRS7vELL7xQafuazCWrOuqoo6Jt27bVjgVYe5qt7QFQv1q0aBEdO3aML774Ij799NMa286ePTv3IV6PHj1q1c/GG2+ce5yvn6lTp+Yer9rPqnE6deqUN05JSclK+5XHmTFjRt6xVIxT2znDuqa+8knF9qse2zW1nTlzZpVtunXrFtdee21ce+21MX369Jg7d25suOGG0a5du4hYkWsWLVoUERHbbrvtSvumlOKWW26JiIjevXvH0KFDq+yjWbNmcdFFF0X//v2jrKwsRo4cGVdddVWemQINwdZbbx1bbrllTJ48Oe69995qCyNXJ5c0b948OnfunMtTNeXFFi1aRKdOnWL69OnV5jWgap999lnst99+8dlnn0VJSUnccsstMWjQoNWOu+p7lJ133rnatjW91ym3OvnkqquuiiVLlkSvXr1iwYIFcffdd1eK/9Zbb+UeP/vsszF9+vSIiDj00EMb/Ieq0BCsqVxSndtuuy33+Mc//nHm/bbccsu49dZbo6ysLD7//PNYsGBBdO/ePXecv/jii7m2q+aS2hg0aFCMGzcuPvnkkxg3blx861vfqnMsYMUx9fe//z3mz58fTzzxRBx99NGZ97388ssjImK//far9sO78nMx8+fPz60TunTpEvvss0+ltquzJgHWjMa23r/55psjYsUXyc4+++xq211yySXx17/+NSIibrnlljj00EOrbPf9738/vv/978eCBQti+vTp0axZs9hoo41yRZKTJ0/OtZWXoHr1lUvuvvvu3Nrjt7/9bbX77bvvvrHvvvvGM888Ew888EDMnj17pcLmQueSiu64445Yvnx5RNTu/RZQO9tss0089thjERExbdq06N69+xrpo9y0adMqbV+TuWRVzZo1i969e8drr71W5ViAtUdR5Dpom222idGjR8eUKVNi2bJluasPrerdd9/NPd56661r3UdVcWrbz6px+vbtmzdOjx49Ki20t9lmm3j99dfjq6++iunTp0fXrl2rjPH555/H3LlzqxwLUFl95JOKJ7TK36xWp+L26sZSUdeuXSvlg9dffz33eJdddllp24wZM3JXbqjpipURK66yUC5fHgQals6dO8fkyZPj3//+d6b2tc0lESty2/PPPx8R2XNblrwGrDBr1qzYf//948MPP4yIFVdCKNTJ7rq812nWrFlsueWWeWPXNp8sXrw4IiI+/PDD+MEPfpA3/kUXXZR7/NFHHymKhDzWZC6pyn/+85948sknIyLim9/8ZnzjG9+odYwmTZrERhttVOn/861NsurcuXPu8b///W9FkbCaVj2mamPJkiURETFixIgYMWJEjW1nzZqVWyvstddeVRZFVlSX9zhA4TW29f4777wTESveMzVv3rzadhtvvHFsuOGGMWPGjEznTVu1ahW9evWq9P/lealFixax/fbb13HUUPzqK5eU54CIFe9narLTTjvFM888E2VlZfH+++/HrrvuWilOoXNJROQKn0pLSzM9F0DdlJSUrPU+1mQuqct4gLXD7bPXQf3794+IFd8Qrngya1UVL+27xx571KqPzTbbLFfxn+8Swf/85z8jImKjjTaKTTfdtMqx5oszffr0eP/996sda9Y4qzNnWBfVRz7p2bNnbLLJJhER8fHHH0dKqdq2H3zwQe5xVR8EZlF+KfWIiCOPPHKlbRULkvLdKm7p0qVV7gc0fOXf5KvqVrdZ1ZRLImKlW26WF1pUZe7cuTFr1qyIqHteg3XNV199FQceeGBMmjQpIiIuu+yyOOWUUwoWv1+/flFaWhoRNb+3WLJkSYwdOza3z3rrrVen/vLlE2DNWNO5pCp33nln7n1GoYsvy3NJy5Yt63TVg3IVr3iwOmslYIXGdExZkwD5lJ8DzXfeNOK/507ret50ypQp8cYbb0RExODBg+v8fgsonEJ9frKmcskbb7wR//rXvyIi4pBDDomOHTvm3Qeom/JzKRGxRq4SmaWP+lyXLFu2LFersqbmC9SNosh10Pe+973c4+q+RVxWVpa7ZVP79u1jwIABteqjpKQkdzupd999N/dh4KrGjh2bq7gfNGhQpQr63r17564q9/e//z0WLFhQZZyRI0fmHg8ePLjS9oEDB0aTJit+3Wv65nR5nCZNmsTAgQOrbQesUB/5JCJiyJAhEbGiOGjUqFHVtrvvvvtyjysWQ2c1adKk+Nvf/hYRK24/1bt375W2b7DBBtG2bduIiBgzZkyNC+mKRRKbbbZZrccCrB2vvvpq7got2223XZ1i5MslEf/NaxER999/f7Wx7r///lwx+J577lmn8cC6ZMGCBfGd73wnxo8fHxER5557bpx11lkF7aNNmzax7777RkTEM888E59++mmV7e67777cVeireo+SRb58MnLkyEgp1fhz/vnn59o/99xzuf9f9QtpwH/VRy6pSvn7pvXWW69Wt9DN56mnnoqXXnopIiJ++MMfRvv27esUp6ysLP7xj3/k/l3XtRLwXxULDWt7TOVbA6SUomfPnhGx4gun5f9XfsX62sjyHgcovMa23i8/B/rWW2/FnDlzqm331ltv5e7GU9fzpr///e9zj9f0F1egsauvXFLxeB49enSNbcsvmFNSUlKpjzWVS8rfb0VEDB06NG97oG4++uijePrppyMiYvPNN19jF3u48cYbc4/32muvStvrc13yt7/9Lb766qtqxwKsPYoi10G77LJL7kP14cOHx5gxYyq1ufLKK3OXFP7lL39Z6Vt2zz//fJSUlERJSUkce+yxVfZz2mmnRdOmTSMi4tRTT42FCxeutH3hwoVx6qmnRsSKqvvTTjutyjhnnHFGRER8+eWXceaZZ1ba/sEHH8Sll14aERFbbLFFlR84du3aNX74wx9GRMSTTz4Z9957b6U299xzT+42Vcccc0y1t9gG/qs+80mLFi0iIuLXv/51rsCgottvvz13Yv873/lO9OjRo1KbildgWNXUqVNj0KBBsWzZsmjevHlce+21ldo0adIkvvOd70RExGeffRYXX3xxlbFmz5690oem3/3ud6vtFyiMkSNH5nLJBRdcUGn7uHHjcoUN1Zk2bdpKJ8Squ0LT6uaSiIjtt98+Dj744IiIuOuuu6os+J4+fXqcd955EbHili7HHXdcjeOHdd2SJUti8ODBucKfX/7yl/GHP/yh1nHy5ZOI/75HWbZsWZxyyim529yXmzVrVm4t0L59+zjhhBOqjFOIfAIUVn3mkorefvvtmDBhQkREHHTQQSvdUjefmnLJxIkT40c/+lFERHTs2DEuueSSKtvddNNNlXJZRWVlZXH66afHW2+9FRErvqyhuBqqN3LkyFi0aFGNba666qp47LHHImLFh2+rfgkqy/mSQrEmgeJW23VJXZVfjXrx4sXx61//uso7/ixatCj+53/+J/fvqs6bfv311zFv3rxq+7n88svjrrvuiogV527c9QvqR75c8p3vfCd38ZuLL7642vXFsGHD4rXXXouIiN12263SFRsLlUsqWr58edx5550RseJ9UfnnPEDtPPzwwzVeMGbGjBkxZMiQWLJkSUREnHzyyZXa5MslEydOjClTptQ4jmHDhsXNN98cESvqQKqqDylELpk9e3beL5WNGzcufvGLX0TEikLvn//85zW2B+qX+3muo6655prYY489YuHChXHAAQfEb3/72xgwYEAsXLgw7r777hg2bFhErLhS4+mnn16nPnr37h2/+c1v4rLLLovXXnst9thjjzjrrLNi8803jw8++CAuv/zy3An/3/zmN7HllltWGWfo0KFxyy23xEsvvRR//vOfY/r06XHiiSdGhw4dYty4cXHRRRfF3Llzo0mTJvGnP/2p2ssaX3zxxfHEE0/EzJkz4wc/+EG89tpruT9sjzzySFx55ZUREdG5c+c6feAB66r6yCebbLJJ/O///m+ceeaZMXHixNhll13irLPOiu233z7mzp0b9913X1x//fUREdG2bdu46qqrqozzs5/9LGbOnBlDhgyJnXfeOdq3bx8zZ86MUaNGxQ033JDLJcOGDYs+ffpUGeP3v/99PPjgg7FgwYK44IIL4vXXX4+hQ4dGr169YtGiRTF27Ni4+uqr45NPPomIiH333TcOOOCAOs0b1hUvvvjiSm9yy28XHbHidkgVrwgdEXX6QHDSpElx3HHHxbe+9a049NBDo2/fvrlig2nTpsVzzz0XI0aMyH2bb7/99qu2n0LkkoiIq6++OsaMGRNz5syJ7373u3HaaafFIYccEi1btoxx48bFpZdemrsC3UUXXeT22ZDHD37wg3jqqaciImKfffaJ448/Ple8U5XS0tI6X+Von332iaOOOiruvvvueOihh2L//feP0047Lbp37x4TJ06Miy++OLcWuPzyy6NDhw5VxilUPgEKpz5zSUW33npr7nFtr1py8MEHR5cuXWLQoEHRt2/faN26dXz22Wfx2GOPxfDhw2Px4sXRokWLuOuuu6ottvzpT38aF154YXz/+9+P3XbbLXr27BmtWrWK2bNnx4QJE2LkyJG5W821bds2/vznP9d9srAOuOCCC+L000+PIUOGRP/+/WPzzTeP1q1bx9dffx0TJ06MO+64I1d8XVpaGsOGDct9uXxtKNSapD7e2wFrxrx58ypdTKLi8XzvvfdGp06dcv/u27dv9O3bd6X2v/71r2P48OHxn//8J0aMGBGTJ0+On/3sZ9GnT59Yvnx5TJgwIf70pz/lbne59dZbV5kH3nvvvdh///3j+9//fuy3337Rq1evWL58ebz77rsxYsSI3BXmdtppp/jTn/5UoGcAWF19+vSJ4447Lm655ZaYNm1a7LjjjnHaaafFnnvuGW3atImpU6fG3XffnStObNq0aZVf2ipULqnoySefjBkzZkTEivd8q168A8jm1FNPjaVLl8aQIUNi9913j0033TRatmwZs2bNiueffz5uvPHG3HuA/v371+lqzq+//nqccMIJMWDAgDj44INju+22i44dO8ayZcvi3XffjTvuuCN33qZp06YxbNiwWH/99SvFKUQu+eqrr2LAgAGx/fbbx/e+973Yaaedolu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\n", 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\n", 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" ] @@ -364,7 +380,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 19, "id": "9857366d", "metadata": { "scrolled": true @@ -374,10 +390,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "P= [2.34285919]\n", - "P= [2.02001283]\n", - "[2.34285919 2.34285919]\n", - "[2.02001283 2.02001283]\n" + "P= [2.09411786]\n", + "P= [0.39182969]\n", + "[2.09411786 2.09411786]\n", + "[0.39182969 0.39182969]\n" ] } ], @@ -394,7 +410,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 20, "id": "db872d90", "metadata": {}, "outputs": [ @@ -403,9 +419,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 0.000023\n", - " Iterations: 132\n", - " Function evaluations: 230\n" + " Current function value: 0.000003\n", + " Iterations: 74\n", + " Function evaluations: 124\n" ] }, { @@ -414,13 +430,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 46, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -442,24 +458,31 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 49, "id": "688dd638", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'000': 6.36333673e-07, '001': 0.4999991211931, '010': 1.21236614e-07, '011': 1.21236614e-07, '100': 1.21236614e-07, '101': 1.21236614e-07, '110': 0.4999991211931, '111': 6.36333673e-07}\n" + ] + }, { "data": { - "image/png": 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\n", 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g8/mwv78Pr9eLe/fuZSkwqbHT9bI+VutagOqtkaIoSmsfID9oNbOEiTkQ6mAOQwloViFXDq4Ww2YKEY1GMT09jba2Nly6dClLWUANihyGAhmG4i/h0NDQgIaGBrjdboyOjiIWi8Hr9WJubi5L37qpqQla7fE8dvXQBwFU1xiqHZLDNK4ZDEatKDRbAXicWa9m0EJu3SOEYGdnBzs7O7h+/ToaGhqkNbte0Gg0aGlpkYbDXbx4EV6vV6oY0Ov10vqopC+yXqjWGlmrtVZujcx1INigVeUwh6EApeTgaqEdLcfh4SGWlpZw+fJlNDU1ST8vx2FQYrc5hRmGoufguKL61hzHwW63F9S3rpem52pu9I/D8SimMEHvB2sQYzAY1aDYbAXg8bpXTYchdy1NpVKYn58Hx3FZKki1EhqpFjqdDu3t7WhvbwcAKcBGh6yazWbJgTCbzXn3th7WR6B6axtQPeWnUg32uWtkKpXKG7TKHAh5mMMgg5JazFooO+Rew/LyMoLBoKwKUq0cBjkqjdMo0bfOVGCqBvXidNDzVGPRFARB1XkKORB0+veFCxeYA8FgMFShVFK8Fpv2zHWPliANDAzkNVefNjtmNBqzhqxGIhF4vV6sra0hEonAarVKa2Q9ldtWa207KeTWyGQyieXlZbS2tsJqteapFJ62Z6uaMIchg9xazGJfhFqWJMViMUxPT6OlpQVjY2MFHRbVJUlKnnO5kqQqp3bl9K1pdCUUCiEWi2FnZwctLS2y0RUl1JPDQOsqq3GeStQ2MkvZqPPBNK4ZDIZSlM5WACovxS12zp2dHWxtbUklSIWutdS56hGO42CxWGCxWNDb2wtCCILBILxeL+bn5xGLxcDzPA4ODtDU1ASdTqf6PeqtlKheysdoFj4ej0vrXzKZzMpA5PYI1utzVAuYw3AEIQQejweJRAJNTU0lHwK1JUlK1YNSqRTu3buH0dFRKSIvRyljLO9kAOl8QXEjn0eNv8sGgwGdnZ3o7OwEIQR37twBz/NSdIXqWzc3N8NozB8sJ8dplFVVcp5qZSrkhsIxjWsGg1EIURSxvr4uqfNVc41Ucw37+/uw2WyYnJwsGIg5S3aKKj7ZbDYMDAzA7XbD4XAgFAphe3sbhBCpxNdutysaTlePJUn1ROYaWWjQKpAtMkJ7BM/i/aAwhwGPazEDgQCi0WjRjTpFrcNQSlGJEIKVlRXE43G87nWvK7kxrkX05ujM+ddWg3cp+O5HKe6enh4pukL1rRcWFpBIJGCz2dDc3Ay73V4w4l5Psqq1anqu9nlyJerkHIjvfOc7GBkZweXLlyu+DgaDUf9k9vNtb28rlvOutsMQCoWwtLQEk8lUdP7QWYfneRiNRgwNDQFIBxl9Ph88Hg/W1tag0WhKDlmtpkpSNdakevtbiqIo63gVcyDo+vknf/In+OAHP3icl3tsvKodhkpmK6gtSSp2bCwWw8zMjDRiXknZybE6DCeQLqQGhOPk9a09Hg92dnYgiiIaGxvR3NyMxsZGKeJ0Fus8q51hKIWcA/Htb38bVquVOQwMxquA3H4+NY3M5ZTtFrK3u7u72NzcxNDQEILBYN1tMI+T3Puk1WrR2tqK1tZWAOlBn16vF3t7e1hcXCw4ZLWeSpKqQTX3KUr7BTMdCLqf/OxnP8schrNGodkKtXAYih3rdruxsLCAkZERtLS0wOVyKXrwqz09WqI+vvsFydS3BtLRFb/fD4/Hg/X1den3VL2jEupRVlXJRr8UapunKRzHIRwOF6wZZjAYZ4NCsxVqtUbSoFqufRMEAY8ePYIgCJicnEQwGEQgEFD3YQpQT5vdalJoyOrm5iZCoRAsFgusVmtVsj/1dA+reS3lrJEcxyEajR7bsMCT4FXpMFBDWMlsBTUbdrlsAC1B8vl8GB8fl/SZlZ63VhkGOVnVemlIkkOr1aKlpQUtLS0A0tEVOiBnbm4ORqMRzc3NaGpqQkNDgyqDUm+yquVu9OWup1zHg/aUMBiMs0lu5j3Tdmk0mpoF1XLXmVAohJmZGfT29qK3t1e1w8JIIzdk9eDgAJFIBHfu3JEUmJqamqR9iFKqsUZW6++pNHOulHI+VzgcZg7DWaHUbIVaGsPMY+PxOKanp2G32zE+Pp5lkJXKtdasJKlOogXlotfr0d7ejv39fVy4cAEcx8Hr9WJrawuhUEjSt25ubobJZCq6kX+1lyTJEQ6HqyZ9y2Aw6otSkuJqBDwqKdt1OBzY2NjA1atXYbPZso6r5wDWcVDJusRx6SGrGo0G4XAYV65cyVJgUjtk9Sz2ClbCWc/Av2ocBiWzFWplDDOPpSVIly5dkmoOM1FqEM9q03O1oIaskL71ysoKotFolr51bnSlHkuSquUwlCvzetYjKAzGq5FazFYo51hBELCwsIBkMimrglTtda+eSmqOE/q5eZ4/8SGr9bY+VgIt+TqrnHmHoVAtphy1rs9cXV2F2+3G2NhYQRUkpedVmolQy0nIqtYCOUNWSN/a4/Fgfn4eyWRSaqC22+1VKSX6qx+k8O2XNOhr3cFTN5vw2ltt0JUZ3a+HXgiWYWAwzhZqZivU0mEIh8NYWlpCT08P+vr6Cgb1qrHuZc6kOW3UcsaQ2iGr1VgjmcNwejjTDgOdrcDzfMnyE6B2xlAQBBwcHKCnpwfj4+NFH2o1GYZCEEKwsbGBYDAoffmp8hIH9fv/s2pUM/WtaXSFKjBtbW0hkUhAr9fD4/HIRleKvz/w8S8nMLMSBDQt2PACG98F/vRb+zBpgjjfxeOpW80Yv9ys2OBWq4ehkpKkZDKpus6VwWDUJ6IoYm9vD83NzVWfraDm2Fgshvn5eVy/fh2NjY0Fj6vWJj8cDmNhYQEmk0kKECm1rWchK6H0HioZsupwOCoaslpvc4oqeb7Oeo/fmXUY6GyFvb09WK1WmM3mkq+pxfRmj8eDR48eoaGhAcPDw1U7b6EMQzKZxPT0NCwWC7q7u+Hz+TA7OwtBEI6UhW6VOnPeT06fu1Del57qVzc1NQFI19FmRleU6FsDQDxB8AefjWHvMJL3O15jQBwGzO8B83vAJ7+yC6vOj3/1dCcG+1qKXl+1VJIqOc9pdB4ZDEY2mf18i4uLePLJJxW9TqPRVLVsVxAELC4uIh6P4+bNm0WdBaA6DoPT6cTq6iouXryIZDIJl8uFlZUV6PX6sgUyjpNq2eByPl+thqyedOa8WtfDehhOGbm1mGpmK6gxhkquY21tDS6XC5cvX8bOzo6i11VSkhQIBDAzM4MLFy6gra0NiUQCdrtdip77fD5F55X5MIquvd6o1ODTBrH+/n4AaQUmj8cDh8OBYDAIg8EgLTBU39oVEPEHn4kgFI4reg9BFDE/cwf7b3ljSYehWpGtcjMVzFlgME4/akqQcqlmUC0SiWB6ehpdXV1oaWmp+myHXERRxPLyMkKhECYnJ0EIASFEip7HYjEpuxwKhWQ3v6XmRRwXtSpJUnsNPM9LKlblDlmtZm/eSZ/nrPf4nSmHodBshVo0MhcjkUhgZmYGDQ0NmJiYQCwWq3rmIve4nZ0dbG9v4+bNm7BYLHnvp9Fo0tKjZdQkncZtYi3UG/R6vRRdAdL61h6PBxsbG5Kh+Pz9K4in9OB4AUQsPt07FnbDsfxtCMkoTCadomuqlsNQSSTmpBdLBoNRHqlUSlE/XyGqVZJEo/xXr15FY2Mj5ubmaqoOGI/HMTU1hZaWFty+fRscxyGRSGQdYzQa0d3dLcmPZm5+aX9bMplEKpVSNFy1nqmF01PukNV662GoZH0MhUJZql5njTPjMNASpNzZCmqyBtVId1J5sosXL6K9vV31edU6DHSwjSiKmJycLPmgl/QXznDTc7XPYTKZ0NPTg56eHknfOnnPDKOFGsIUxGQEvsMVaLQmaPUm6bVh3w72Vr8vORVm0/H1BZSbuq22zjWDwTgeis1WUINah4E6JxRRFLG4uIhoNIrJyUnodDrpWKUDS9UG9eiaXEiZUI7czS9VDzo4OMDU1BR4npf6A4uVp9aC41jbqoHSIavVcr7qQRQkEomgp6en4muoV069w6BktkJuJKEQlXyBaKPxwcEBbt++DZPp8eawFo1iNEJy9+5ddHd3F1SVUIvc4LZEMoHV1VUpMnDSSgRKOG59aFq+BO6xoeF5LXiDDa29twEA0eABosF9RAIOHGy+jExPzGI6vohVuSnXs55uZTDOIkokxZXay0pmFdESpM7OToyMjNR8/hAhBOvr67JrslqoepDJZMLNmzchCAK8Xq9Unpo5ILTc5t/j5CTKqgoNWXU6nfD7/YjFYhX1kNRDadNZXyNPtcOgpBbzOCZD0hIki8WCiYmJvIet0qnQcgSDQTgcDty6dUvy4JW9AYpnDGTuoVarg81mw8HBAZaXl2Vr9+uNaulDq400FPvTmaztMFnbEfRuIPePYDEfr8NQTgTlrEvGMRhniVxJ8UKbIJqFVzKbpdwS3/39faysrODKlSuy65WaQJmS9TGVSiEWiyESiciuyZWi1+vR0dGBjo4OEEKk8tS1tTVpvg9dI6tdvlSNXrJ66MOgQ1Y1Gg0sFgt6enryhqzSe6hE5bJaGfBKB5uypuc6Q81shWo2Msvh8/kwNzeHCxcuoKOjQ/YYNTMTShlEQghWVlZweHiI7u5udc4C5DSQlB2RKa2WW7ufOfzsLFGOWoKowJYTMf95XFqcR2tLi5TirqUxL3exOOuScQzGWYEQgmQyCUEQqj5bIbfMqNixtGQ2Go1iYmKi4Oa5mgNLQ6EQpqenodPpMDIyUlVnQe79OY6D2WyG2WxGb28vRFGU5vvs7u5CFEXY7XY0NzeXPTBT7joqoZ4ELGjAt9iQ1VgshoaGBsmBkJP2FkWxKve3kkwFcxjqDLUKD7XKMBBCEI/HsbCwgFu3bhWVba1WSVIikcD09DQaGxtx4cIFBAKBsq69GErMUG7tfubws0AggLW1NbS2tqKpqelEa95Pos5TiR2Wa4a+dvWq1BwWDAYlfXCa4q425dwblmFgMOofQRAQj8el9bHUd73aUqmUZDIJh8OBwcHBvBKkcs9b6rM4HA5sbGzg2rVrmJ+fP5GNceb05HPnziGVSkny3B6PB6lUCpubm2hubi6r9OYkZVVrgVxgTu2QVZ1OVxdNz6wkqY6gtZgvvfQSXvOa1yiuuax2hiGZTGJmZgaEEIyPj5f0aqvR9EwzGcPDw2hra8Ph4WFZhqPkHStQ31r48OzhZw8ePEBTUxN8Ph82NjbymsPqxUgpoZyBMkr+JKJMhsFgMGRFVzJT3JFIBBaLRUqzK9W3LnyN5S04zGFgMOoX2s+3s7ODaDSK8+fPK3qdGidAaQ/DwcEBVlZWYLfbce7cuapegxyiKGJhYQHxeByTk5PQarWqSoFriVarRWtrK1pbWxEKhbC+vg69Xi+V3lgsFmmNVGrbT0PTs1KUbPRLDVmln6epqani0qRKHQar1Vr2e9c7p8JhyC1BApR/YcoxRMW+TH6/H7Ozszh//jxSqeKymRQ1X8xch4EQgu3tbalfgUaby1Z0Ku0xqD9n5quPvrS0PIvOLqCR88y6xFpEzqtJOSVJSv4iuRmG3McjN8VNCIHP58PCwoKkb93Y2CgNmaNKI7XmrKdbGYzTSmbmXU1jMqA+w1DsWFEUsbS0hHA4jMuXL8PpdCo6byUKhbFYDFNTU2hvb8fo6GjWelsq2KX2PauhpKjRaLKCQ+FwGB6PJ8u20zWyWiVMuZw2hyGX3CGrqVQKjx49QigUwv379xUPWa3W9VDO+hpZ9w5DoVpMNaoOajIMNCqRe25CCDY3N+F0OqWNO9UWriaZURFBEDA3Nwee5zExMZHl9ZZruErdMXkFDdVvI5E5u4DWJXo8HqkukQ52Oc6Nr1LKMqpl9DCUeg/qQFgsFly/fh2iKMLv98Pr9WJ7exuEENjtdjQ1NcFut5eW1i1zoYhEImc6esJgnEZoMI3aK61Wq3rNq0bJbDQaxfT0NNra2nDp0iWEQqGqqwPm4na7sbCwgNHR0bweunrJMBSDquvRAaHUtns8HmxubkoBuObmZthstoL7E7XUm8NQ6bVotVoYjUapFFrJkNVCKBUAkOOs9/nVtcNQbLaCUgUbtYaIRlAyPcxkMonZ2VkYDAZMTk5Kv6tFfwRtkA6Hw5ienkZfXx96e3tljytlDMv7Esq9pno1k7Qusa+vL2uwC934NjU1IZVKVa0esRLK6mFQcIyYl2Eo/R6ZzyTP83nRFZ/PJ5UwZUZf6CLz+L3LN87hcLjus0IMxquFQpLiaoNk1ehhODw8xNLSUtbGvRZy4hQqmepyuTA2NiZbylONbMBxnDOTXNueTCbh9XrhdDqxtLQEg8EgbY4r2fRXy+moBoSQqqsbKRmymqnAlHseuaZqJSSTyVM/1K8YdekwlJqtQDf1Sh6ycjIMmYbL7/djbm4OQ0ND0sNX6NhqwHGcVP9/9erVglMDy84wlEwx5P+oVuZRbrAL1bZ+5ZVXoNfrpdrOk5BvrZXTkluSxCv4XMWuJbNGFsjWt6aLDF2EjEZj2Z8pFAqhsbGxrNcyGIzqUWy2QqVrnppjRVHE8vIygsFgngqSmvOqURIkhODBgwcwm80YHx8vaM/UnLNe0el0aG9vl4bARqNRrK2twe12w+VySfKtzc3Nqjaq1djsVyMzQM9T60nPckNWPR4PlpaWEI/Hs2Rw6yFYWa/UncOgRAVJjUEs13jS3oHd3V3cuHFDttmz2gZJFEUcHh4ikUhkTcEsdJ21iHTIDW47rknPWq0WbW1t2NjYwMTEBGKxWFZUgMqqNTc3lx0BUEOt0ra5Tc88X5nDkAvVt85cZKi+dTAYRCqVwu7urmJ9a0okEpHNdjEYjONBiaS42kBWuetpLBbD9PQ0WlpaMDY2lncdaoJaStezQCCAcDiM8+fP5wXwcjmNGYZSmEwmNDU1obGxET09PZJy0OzsLARBkORbS5WmHvdg02Ich8OQiVwZWKYMbjgcRjgcBgDY7XbF5Un1VOZVK+rKYaBZhdwSpFzUGDi1X3Ce55FIJLC4uAidTofJycmCX7xqZhji8Timpqag1WrR29urqJ6/JhkGGYfhpMyj0WhEd3c3uru7QQhBKBSSZNVSqVSWrFotmsPUGgBBBJQ0jedmGDRVdhhyMZlMMJlM6O7uRjgcxvLyMkRRlPpI6ByNQvrWlFAodKbrMxmMekbpbIXjyDC4XC4sLi5iZGREmtxbjfMWY3d3F5ubmzCZTCWdBeDkN/e1Rk45KLM0VavVZjX+yjl0lVCtDfJJZypyZXAfPXqEhoYGqdKD9pFQR02JotNZpS4chlIlSLmodRjUIAgCpqencf78eXR3d2f9btsZQWerATpt2oGolsPg9XoxPz+PS5cuIRaLKfpsNWvoqtOHneM4WK1WWK1WDAwMQBAEqTmMyrdmGsdqoNaQxZXNM8pretZoShu5SsbVZ703IdDr9ejr65P6SOQcMdpAnem4UnlXBoNxvBTq55Ojlj0MHMdJ0qDj4+NFAwzVKkmiw98EQcDk5CTu3Lmj+Jy1yDCcNIU26hqNBi0tLZIDF4/H4fV68xQKm5ub66pxulqZimpNeqa9lDQ4RvtIqFSwVquVypcyHbFUKnXmS5lO3GEQRREOhwNGo1HxEJNazFagJUh+vx+jo6Po6urK+B3w378WxYtTfgjJOBr0IVwZ1OFSTxJdXeU7DFR5aX9/H7dv34bJZILD4VA0SbOUMSx0H8uZw1CRTFKN0Gg0kvED0nX7tP8hGAwiFothZ2cHzc3NqspuMlFryBIKHYbcpmclDoPSJv9S5BpVnufzolRUgYnqWzc1NUmLDsswMBjHBy1BWl1dxcDAgCJ7VE6GQYlEOC1BovOHqjk0tdCxkUgE09PT6OrqQn9/f0US5dXitGQtDAaDrELh0tISQqEQjEaj1N9WjkLhcZcSHdd5ctfI3D6SeDwuScWHQiGYTCakUqlXhSjIiTkMmbWYPp8PNptNcWS42g5DKpXC3NwcNBoNOjo6sqImgbCIP/hMEE5XBADAaw2IiAbcXQPurtnwp985QHeTA09cteIdT3bDbCz8xcv0yFOpFGZnZ6HX6zExMSE96EqNXPlNzwTF3IbaaSTVFr1ej46ODnR0dIAQIkWhMstuaFRAaXOY2ghKPKXs2HIyDMc1xTLXEaON6J///Ofx3e9+F8vLy/jZn/1ZvPvd78aNGzcKnuf555/HRz7yEezt7SEej98D8K8IIT8sdX0cx10EcB8ARwhh3gnjVUtmPx+dmKwEtdlnjUaDRCJR9BgqXzo8PIyVlRVFdlHNdcitZ1R56fLly5JqEEWJbT6rJUnlRORzFQrpcL9QKITt7W0AkPoflJTd0Os4LU3Pas9TbI2UG7L64osv4g//8A8xNzeHZ555Bm95y1vwC7/wC0VFQk7jGnkiDkNuLaZa3Wi1g2mKEQwGMTMzg8HBQXR3d2NxcVE698OVFP74iz4kikT8eV0jnCHgyz8B/ur7a3jyohu/88xr84/L0E8OhUKYnp6W3jOTmjsMZRxx2mwuLWvr7e1Fb29vXlOTKIpZxrGQcVBrEBMKHYbcDIP2GB0Gteehjeh//Md/jF/5lV/B7//+72N5eRmzs7MFHYbPfe5zeP/734/nn38eTz31FC5fvvwSgK9zHHeZELJV6L04jtMD+EsAPwDwBnWfjME4O+SWINWSYgE4QghWVlbg8/mkEqTl5eWqX0NmhiHzPXOVl4DHa99JOAxnyQmxWCzS/oMGbg8ODrC8vCxlHoopFNZbDwNQnZIxNeW/dEbS29/+dgwODuLDH/4w/vW//tf49re/XVRV8LSukcfuMMjVYpaTQlWbYch9uAkh2NnZwc7ODq5fvy6VWlBn5M++GcO3XvEp3i1HAntwrv4Aa7oe2d/TGs39/X2sr6/j2rVrshkVpWncsg1X6cltMj883QYyt6mJzi1wuVxYXV2VahKbm5uzyuLUbq6VliTlZhi02tKlRseVYShGOBzG0NAQJiYmih730Y9+FM8++yze+973AgAIIf+S47ifBvDPAfzbIi/9vwFMA/g+mMPAeBWitp+vGhRac+LxOKanp2G32xWVIFV6DTSjMj09DZvNVvA96fUqaT49K5v7apN7X3Q6Hdra2tDW1gbgsbIeVSikwhiZCoXV2uhXq4ehWpS7RoZCIVitVty+fRu3b98ueuxpXSOPzWEoZgi1Wi3i8bjic6l1MHIjEqlUCvPz8+A4Lk8Fied5OL3Ajxb00BmsEJJRiELhnSAhBN69Gbh3HwIgSCbla0E5jsPCwgKSySQmJycLqvqoyTAUciwIIVhbW4PD4ZAi6XTMfKnvt6ys6hkjd25BLBaTavZDoZA01IVmwJSSKF0GfOQsZP99lWYYqqEEVanDUKqHIZFI4N69e/jgBz+Y+6tvAshPvR3BcdzPAHg3gNsAfqmsC2QwTjHFZisAtZNtlFtPaQnSpUuXJDtZSziOQywWw927d3Hx4kWpXrzQsZVm4elgVEKIFCzKHXJZyXvXkmo9B8XOkamsRwiRMvRUGMNut8sOyyuHepx7UM79pXuHUpzmNfJYHIZSsxXKUXVQ0hice36e56USpIGBAfT05GcDeJ6Hlheg1Zmg1aUnAIpiCkIyCk4MIxT0Q6NNe9hCKg7n2g8R8e9Kr0+m8j9HLBZDMBhEU1MTrly5UvRhVGMM5aC9EQaDAWNjY9IXfXNzMx2ZEV4LoMiXUzb1WPJy6gq1Bt1oNGbVJNKhLuFwGA8ePIDdbpdk1Ypt2pWUJOXOYAAAna70Br6S6ZPZ71++cRYEoWT/h8vlgiAI6OjoyP3VPoC3yr2G47guAH8C4BcJIcF6UCJhMI4LNbMVqiF8kEtuORAdDFZognK1IYRgf38fPp8Pr3nNa0o2jlbqMGROpdbr9fD5fNjb28Pi4mKWklDuBOCzhBqno5B8q9PphMfjwf3796Xsg81mU73ZrkeHoRwikYgiUZDTvEbW3GGghrCYHFw5DkMsFlN8PDWIOzs72NraKlgORI/V8TmTeHkteIMVgBU2fRvC/l1Eg3twrv0QqUQ469hkUj5SY7FY0NvbWzVlCbkMA42aDAwMoKurC4lEImvMfCKRwJfm2WasGJlDXQ4ODnDjxg0Eg0F4vV5sbm5KmsxyEamkoH4GAwBJprcY1SxJKkcRA1DniMk85xwK17Z9BsAnCCE/KevCGIxTSm7mvdRsBaUOA10f1KgqxeNxzMzMSOVAx7GJEwQBc3NzEAQBzc3NilRmyi3bpc6Qx+ORhEYEQZAUcHKVhOLxeNYgtHSG/mxkGCo5B5Vv1Wq10Gq1OHfuHDweDxwOBxYWFiSnS+lg0Gr2MJwk4XBYlez4aVwjj8VhAFDU+NRSN5q+9/z8PDQaTdFyIHpubZESJF6jgbW5H1qdATsL38j7feoow0AIwfr6OlwuF8bGxrCwsFDV3oTc46hG8NWrV2Gz2WTPodfrXxVDR6qpD53Z3wA81mR2Op1YWlqC0WiUjGM8WVgRgSKXYdAryDBU02Eo5zz0eSp1X1tbW6HRaOB0OnN/1Y50BEWONwN4A8dx//Ho/zkAPMdxKQDPEUL+q+oLZjBOAdRhKDVboRxhEKXfdZ7nEYvF8Morr2B4eFiqY681NMDV29uLlpYWLCwsKHpdOWtkKpXCzMwMTCYTxsbGZKVkc5WERFGUBqGtr69Do9FkyWee5rWyGmskXZP0er2sfCtVKLTZbNIaKResqkYPw0k7cYCykl3gdK+RNXcYlEir1dJhCIVC8Hq9GBgYwPnz5xVF+AkRkXb0ipQO8fKbvJSQrkOdmZmB2WyWIjXVVj+ixxFCsLq6Cq/Xi/Hx8ZIlI6VthLwawnFRjfeqZq1v7nkyNZmppBqdrLm61QLgUvFrk8kw6HWlv4bHJRlXDCX3VK/XY2xsDC+88ALe8573ZP7qbQC+UOBl13L+/+cB/O8AJgHs5h/OYJwNeJ6vyWwFenypbCIV/wgGg3jqqacUlyCpsbFyx+7v70sBrsbGRsTj8YokWIsdR1UJz507lzVfqdTn4Hk+K1hEMzB7e3tYX19HQ0OD9PtqlIsqpV7WSLlzyDldgUAAHo8H29vb0lwfOhhUaQN7OddS7nnKJRwOS89KMU7zGnnig9uAdPREyeAYilJZVYfDgY2NDTQ1NaGtrU2xdrSiTAAvf+sSiRTu3r2LoaGhrPH1Ss+rVLuappwfPHgAi8UiRU1Kv67kEXk/EQQB8/PzaGlpUTXH4KQ4DilC4LGkmtlsRm9vL5wpHR7mBQ1yrk0uw6A/Poeh3KbnZDKp+HUf+MAH8Mwzz2BychJPPvkkLl++/IcAugF8EgA4jvswgElCyFsAgBAym/l6juPGAYi5P2cwXq3Q6Laa40s5GIlEQgpsWa1Wxc6Cmn6KXMERURSxvLyMUCiUJZlaTMSj0PsreW+v14uVlZWiZchKMRgMMJvN6O/vh8ViQSgUgtvtlkqqaKlqManuanGSJUlqzsHzPOx2O+x2O4DHc32oQqFOp0M8Hpei8+VeUz3McgiHw+jr61N07GldI2vuMCh5AKqdYcgdJb+0tKTaGBUrJksfJ28QItFYlkxr5nkrVT/Kep9IBKFQCIODg3lRk6LnV/D+ufC8Br29vXC73dIcg0zjWG8NSyeVnkwpeMREIpdhUNb0fJIlSWrqM59++mm43W586EMfwt7eHgA8BeBdhJDNo0O6AJxXfREMxhlEScS8nDWy2Dri9XoxPz+PixcvorW1FS+//LLqcyvZFGdGkKlMa1NTE27fvp211qiZCq3kfhFC4PF4kEwmZWc5VArHcbBarbBarRgcHMyS6l5ZWYHBYJCyD9UuX6pWhqFSyuk9oHN9aNlbLBbD/fv3sbm5KTkN5WRtqiUIUKnDoKQkCTi9a2RdZBiqOYchFAphZmZGGtqlds6D5DBwxdWBCmUYtFqd7EOj1BFQYgxpOpeq+6ihPLtFJJUEOsfA6/VKQ15oHb+SdFzJdzoGybhakVLU9Jz/HGo1StSVqmcQy9WYVmoMAeC5557Dc889R/93LPN3hJBni72WEPJpAJ/O/TnHcWYAFwD4AQgAUkf/CDn/kKN/H52OVG8sPINxAlQrqEYIwcbGBg4ODnD79m2YTCaptFUpdP1VIp5A11PqoBTqkah0KnQmyWQS09PTAIBz585V1Vko9N65Ut2ZpaqRSAQ2mw0tLS1Vu5Z6WCOr0XtgNBqh0+lw9epVqXwsU761sbExq+m8ENUMqNVSdjyTWqyRteZUOgyFjqclSLTxl6ImekGjJ1yJFAPHyT9UQoH3UVOSVGy+wsrKCgKBACYnJ3H37t2S58uldEVSaSOSGSXIrONfWVmB3+/HysoK2traSsqQ1orjKknKJalAVlWuhyESCeHOnTtZxjF3MT7pkiSlknE15gaArwEIA0gCiAGIHP1/+Oi/Qxn/JABMAfjrk7hYBqNaqG16lguq0RIki8UiqQQB6jeOarMBW1tbcLlckoNS6LhqlCRR2fShoSFEo1FF56sFJpMJPT096OnpgSiKCAaDcLvdcLlciMfjWFtbQ0tLC6xW64lk6E9aaSn3PEB21mZgYACCIMDv98Pj8WBjYwM8z0uVDbn37aTXR+Dk10iO4xoADCE/oJYCIOJxQE08+gdIlzUp++KhTkqS1D50uQ6DIAhFh6KpzTAIggCeexyilD9O/tYJgryXUWmGgUZNbDZbXjpXDeUMbisW98mt43/w4AHa2toQCASk2Q80+2C1Wktedz0ZMrUkFTxiopDvMPR0d2J8fFwyjltb6cnwmfKtJ62SpFYyrkZcQdpm/S6AHgC2jH8aj/7dCqDh6LhrAO6AOQyMOqZWJUmZx/t8PszNzeHChQty+u+qUOowpFIpBINB6HQ6TE5OFrU7aux1ofvldDqxtrYmlQRvbGzUhXoOz/NobGxEY2Mj2tvbsbGxgYaGBjgcDgQCAdWzH+pljay1HKpGo8mqXEgkEvB6vXA4HAgGg1mVDdXKMFSyziod3FZDnkB6rQsi7SREkQ6iZQbVQhn/jgO4B+BvlL5BXWQY1JJpDKk0W09PD/r6+grU4BcuYZI7VsowFIHjecjJ5hbLMJSrkkSjJufPn6/Y2Jf8fssdoMLmchyHxsZGKe2cSCTg8XgkJQ46RbmlpaVmyhIn5TCUW5JkNOik6AmdmZEr3xqLxeBwONDa2lpRTWwlJUl14DAEAXyaEPJFJQdzHPdLAH6ntpfEYNSecoeV0hKk/f193Lp1S9GcAyXnLuUwUGUio9GI8+fPVzWKnht8I4RgaWkJ4XAYExMTUna2lCNWjg2txhwGnudVzX6oBdVyOqrxd1V6HXq9Hh0dHejo6MirbAiHw+A4Dvv7+xUJs1RaklRpY32F3EA68/67AHohH1BrQzqgpgFwHcB3cNYdBvqA0YjClStX0NhYWANfqaoSkNmkpeA6eE1eiUmh9ym3JCk3alIpXMndf3U32rkazXSKcuaIeWocq6UscWIOQ5lNz0ZD/tcwU74VAF5++WVotVqpJtZqtUra1mocr3KNvNr6zBrxdQAvAgDHcVoAHCFE2kVxHKfD0QNMCEkgrWn9pydwnQxGVVE7rFSj0SCRSODBgwcwmUwlI/xqKBWAo7Kj165dw8bGhuK1V8370017IpHA9PQ07HY7bt26lWX31ZQ5KaXa60quDGlmGQ6d/UADbFRFqJ5lVY+L3MoGt9sNp9OJSCQiCbPQvYUa1apKS5JO2GHwAfjvhJAvKTmY47h/AuAX1LxBXZQkqUUURUSjUezt7WVFFAqh0WgQj8cVnVtSgFBgW3leCyHPYShckqR2voJc1KRSSmcYqvI2Bd778RTl/v5+acQ8bQ7T6XSw2+0QRbEiY3RyGYbSx8hlGExGZc2DtCaWEIJgMFiW41XuYlMPJUmEkACAAMdxHCFpz4vjuDYALQCchBBfzvEv4sjBYDDqlVooCcbjcezu7mJ0dDRL3rsYSu1moeCXKIpYXFxENBqV1iw1/Q5KoWtkIBDAzMwMLl68KAVWlFxnpdSyzCm3DCcej0tlqlR4QhAERaVLxaiXDIPahvti5zGZTDh37pwkzEJVq1ZXV7MGsBaTb61UJemE18gvADADUvAMOQE1Ke1yFFDbAvAXat6gbjIMNBpQ6o8ViUQwPT0NjUaDmzdvVnW2Aj2W9jCUvGYZadVCDoMa7WhBEHDv3j3ZqEmllNXDUCP7SEfMt7S0AEhLrB0eHiIWi+HOnTvShMjm5mZVDtOJyaoqKknKzzCYjOrSpxzHSapVg4ODeY5X5qKjpG9ECXWSYcCRs0COHIV/DuBdSDdw7XMc9xKAvyCE7JzoRTIYVUapw0AIwebmJpxOJ7q7uxU7C2pmK8itZbFYDFNTU2hra8PIyIhkc2rlMLjdbng8Hty8ebPgJq0WGYbjxmAwoKurC11dXZKK0PLyMra2trCzsyP1udEhaEqplqxqpVUB1Qru5e4dc1Wrch0vWhrd3NycNX+kkgyDIAgnIvJCOQqY+Y7WyCQAcBzXAcAOYO8o4JZ5/LfUvkfdOAxKRtk7nU6srq7iypUrmJ+fV/yglSOrquGLT3pOH5t/+4o5DEq+pKFQCMFgEDdv3pSNmlRKWT0MapoYKsBoNKKzsxMulws3b96UJkTu7OyAECJ9wW02W0njWI3oiVoUlSSVmWEoRq7jFY/H4fV6pb6RzKa6cu9LKBSSjO8JwyOtR/CbAH4bwN8DWAIwAuC3ALyB47h/SwiZOblLZDCqixKVpGQyidnZWRgMBgwPDyMYDCo+fyUOg9vtxsLCAkZGRiQbVOjYShFFEW63G4QQWYGTTKpVvlPrc6p5b6vVisbGRtjtdjQ2NlY0+6FeMgzH0ayc63jR0uiFhQUkEglJoTCRSJTlMNRDcz2QFVDrBPAvkJ4eLQDY4zjuR0gH1PbKPX/dOQxykeTMVOfk5KR0jJoUqmqHQcEzI5dhKPTgKIl2UFlYk8lUE2chfR0lj6jJ+6qFNk83Njbi3LlzeU3AVCGhpaUlLz17UvWZSh4x+ZKk6g4VMhgMWX0jmU114XAYCwsLUv+D0szNSUvGZUD/KG8A8LeEkPdJv+C4VqRVIj7Ecdx7CSEHJ3GBDEa1KTXp2e/3Y3Z2FufPn0dnZyfcbreqjXqx9bfQsZkzHcbGxmQnRVfTYUgkEpiamoJWq0V3d3fJaO5J1dcfF8VmP0SjUSlDL2fn66WH4SQmNOeWRouiKPWN7O/vg+M4xONxxcHJzPPWwTNHA2q/jXRQ7asA1gFcPvrZ6ziO+3eEkEflnLxuehi0Wq2sQaQlSJ2dnbKpTiXeoJqmZ3p+jghI3/six8plGAo4DDzPF1S5oA5RLBbD5OQk7ty5o+hay6HUo69WVjXv9TUaKJPZBJypkECVJWiEoKmp6cQk4wSxvJIks6m6DkMmmU11PT09uHfvHjo7O+HxeLC9vQ1CiKKp3XVQn0mhj2MSwC4AcOmhKHpCiIvjuF8D8AKA1wD4G47jeDU60wzGcVNJDwMhBFtbW3A4HFnlOWqCZPR4NWW7yWQSDx8+hNFozJrpUMl5i0EdouHhYYRCIUWvqVXT80lHkwutb7mzH2iGfnt7G0BappvOfqgXWdWTcBhyyVQo1Gg00Ov10Gq1WcFJukYWy9yc9HNxBL24NyOdTfig9AuO6wLwJQD/keO45wghHrUnP5YMQ7k603Si8ZUrV2C322WPV+owKDWeoigiFotBSCUAFI+28LIZBvljC92DeDyO6elptLS0ZDlE1UDuXGU1PR/j90BpY3imQkJmhGBzc1M6RyAQKLuGv5xUqVBmSZLZVPw5q5Yhot8Xu90ufZ+SySR8Pp80tdtgMEjG0WKxSPeuXnoYMqY2/zGA/5PjuGlCyJeR1pwGIWSPS0+EpjftxEM+DEalyK1hqVQKs7Oz0pyDzLWwWsNQ5UgkEtjd3cWlS5fQ1dVV9Fi1DoPcRnZ3dxdbW1uSLGwkEqloptGrAZ7n8+y8x+ORZj+kUikcHBygs7Oz7AbqapQTVWuWQ7X6BwRBgMFgQEtLi1TlEYlE4PV68xQKm5ubJfnWRCJRNWGaCqEPfBzAHiApCuqO1sb3APg2gJsAvkNLmJSevO5KkoD0Q5SpECSnqVtOX0Ip6Oad4zhYG0zwlhgUqaYkSe4aMqMmdG5BrTkNJUlqDUjuDAOXy4Xt7W2phr+hoUH6giuVIC2rJEnBuiiXYbCYi19TNaMwuQ62TqeTpnYD6bS21+vFxsaG5CTMzMwgEAgodhief/55fOQjH8He3h6uXLmC+/fvv44Q8kO5YzmOu4z05v8y0lrRDgB/CeA/HSk5yEIIeYHjuJ8C8Hscxz0J4CdHr30TgAdID2zLdDAYjFNL7noXCAQwOzuLwcFBdHd3lzy+FErXSIfDAYfDIdWDl0JNlJ9u8KndFUVRqjGfmJiQNoRqFQcZaTufOcPg4cOHUmVDIpGQVPZolF0J9aK0BFSnAZueJ/d6aHAyV6FwdnYWgiAgFArB4XCoysDXao3MWO/+EMC/5zhulhDy90gPcgPSTkQDHk96zh8mVoS6cxii0Simp6fR3t6OS5cuFXwg1RhEJcd6vV7Mz8/j0qVLWFpagk7BnZErSSpErkHe2dnB9vZ21YbpKIXjij8bcvebHGOKoRoGXqvVwmKxYHh4WFKWyJUgbWlpKarPXCuHQSyjJOk4x96bTCaYTCZ0d3dL9+4LX/gC7ty5g9/8zd/E2972NvzyL/8ynnzySdnXf+5zn8P73/9+PP/883jqqafw/PPP4/79+1/nOO4yIWRL5iUJAP8T6U2+D+nhM3+CtG36vRIf6Q+QnrXwHgCvQ1pe9TzSxnWQ4zgDAH+u3CqDUU8o7cOjEpTb29vY3d0tOpun2hkGURTx6NEjJJNJXLhwQbFMudpSJ2rr4vG4pLo0OjqaN1/hpByGenBCKt2ocxwHjUaD7u5umEymvNkPSiVIT2sPQzFKrZFyCoX379/Hd77zHczOzuKtb30r3vrWt+K9731vngAA5TjWSELI3x0F1P49x3FvQjqA5kS6CfpHAB4eHaeqZq+uSpJoTfrly5elaHGx49UaIjloDeje3h5u374Nk8mUdhg0pY2CXElSIeg9oFGTZDKZFTWpNqIowul0wmq1ZtXdlZaLPfkMQ6VkPmtUWcJqtWJgYECSIKX6zDqdTmqezrxP5RggUVEPQ/6ibDlGh0HNeei9+w//4T9genoaf/RHf4SNjQ0EAoGCr/noRz+KZ599Fu9973sBAB//+MfxR3/0R3tIS6D+29zjCSErAFYyfrTJcdwbkXYAinKUSv0TjuP+J9I9C9cBXAXwVgBPA9gGsMtx3LPl1GsyGPUEIUSSFM8tQcqlnAxDoeOj0SimpqbQ2dmJgYEBHB4eIhKJKD5vsWbt3GMJIfD5fJibm5NVXaLHKZl6XWrf4ff7EQgE0NraWvZk4NMMXeuUzH5oaWnJKsEBqrMunTaHIReNRoOJiQmp9PljH/sYvvWtbxV1pI5xjfxPSAfU/gGANyI95fkcgP8HwDDHcU6kA2p+BR8VQJ1kGKhUGt1EK/nyqmnqKmQ8U6kU5ubmoNVq8yZhKtnHp0vD8hEEEZqcyW88zyORSOCVV15Be3s7BgYGqlK7J+flJxIJPHz4EGazGYeHh4hGo1JTMNBX/IRy13TMPQyEcPjYXwXg2HPg9rAJ73hNJ5oalU8zBgpH7eRmP1BliUgkIilLGI1G9RkGBfdJLsNQytDVsiRJKeFwGG1tbbh48WLBYxKJBO7du4cPfvCDub/6JoDXKnkfjuMuAPhpAF+R+V0bAC/SKhDc0T/8UVr2+0f/0GPPA5hAOqJSenfBYNQxwWAQ4XAY586dky1ByqWcDINcUM3lcmFxcTEriKc2a6A0Is9xHHZ2duB0OqXgXaHjKs0w0Ax/c3MzZmdnIYqi1BRcTBnnLGQYSp0jV4I0swSHTlBuaWmpSv9BreYwHPd5qChIV1cXnnnmmYLH1XqNzOSoPOmPOI777wCewOOA2s8C+A2kB7dtcxz3DCEkrOS9T9xhoANf9Ho92tvbFXv6lfYwhEIhzMzMoL+/Hz09PVm/4zgOOl6BQSqQYYhEE7A2ZEvMhcNh7O/v4+bNmwVTVWrJrfkEIE2/HB4ehs1mk2pIacoxHA4BKJ69OUkiMYLP/Lgf/lASQBu+PQN8a8oPDQlgsF3E627Z8ZrrrXkOWSZqjJDRaER3d7dUgkOVJba2thCLxbC2tqZYXk3JGiqXYSiF2sxAsfNUMva+VI2my+WCIAjo6OjI/dU+0lH/gnDpoWu3ARiQTrf+O5nDvgngDUcDaOgXVPaGEkJWOY4bBvBeppLEqGeK2SpCCHZ2drCzsyOVCio9p5qNbe56SgjB6uoqvF4vxsfHs3q/yikzKoUoigiFQoqyJ5U4DLRuPx6PY3x8HIIgSJOBPR4PnE4nFhcXYTabpcCS0r6304TSNTK3BCeVSsHr9eLg4EDKNLW3tyue/ZDLSWUGqn0epaIgtVwjMwJqmf0JPCEkCuC7R//QYy8CmES6509ZChAn7DAcHh5iaWkJo6OjiMfjiEZLdBlnoMZhyH2InU4n1tbWcO3aNVit1rzjeZ6HVlFJkvzti8ayHYbt7W1sbW2htbW1as4CUPhz3bx5E2azGYlE4ug6HzcF2xZNOCziS1Yqq1oJTg/B//XnKURj2X9XjtdARBPW3MDat4BPfWMPVn0IV4d0+MW3dKHZVp05DFzG7IfW1lZsbm6ioaEhS16Npmblol8FZvZlX1tOhkHJZVaroasSx0ONCoXMvVfSWPU0ACvS9ZkfAfBvAHw455gbAP4px3EOADGklSAy/504+ncSQARpDerrAGYVXTiDUUekUilpQCmV21az0VND5sY+kUhgZmYGDQ0NGBsby7MZ1SoHptCgoU6nw/DwcElbp9QJyXUY6BwHqkhICJH2EFqtNku2mw72on1vNPsA1Id85klF9rVarSSSkUql0NHRgXg8jtXVVcRisaKzH+Q46cxALuU6DHR6tFJqtEa+AGCSEJK5ySgUUFvmOO4iIeS3FF80jrGHIRNRFLGysoJAICBFLw4ODmomA5f5vktLS4hGo5iYmCj4QPM8r6iHoWCGIZaU3m9+fh6iKOLKlSvY2dlRdb0l3/8oe8BxnHQ/6eeiRi3XMJT8Sp3Q4JHZDRF//KWgonpXXmtEWDTia99/iGajH7/4zltZv69WyjZ3EckcgEZnP7S0tMBut0Or1SrKMOTKqiq5zpMuSVK6QLa2tkKj0cDpdOb+qh3pCEqx99g++s95Lj1X4b9xHPcRavyOpOF2AfxjpA0rQTqSIiJtFAWkIyXJo38EACEAhRsuGIw6JRgMShnw3t5eAI/LcGvR90bXU6rcd+HCBbkoaNZ1KKHU5p6KjYyOjkpzYUpRToaB3s8LFy5IcpmFzsHlDPZKpVKS9PTBwQG8Xq802KscSdJKHY5qOCzVWiPNZjNaW1sLzn6gvRG02iGXenMYKilJUpJhqNUaeSTwcR3Ab3Ec50E6cEb/yQys0aAaB+DvOI67QAhZU/o5jz3DEIvFpLkDY2NjWY03Spuj6PFqHAZRFPHKK6+gtbW1qPoSPbdOoyCCUSDDEIslpKhJZ2cn+vv7EQqFaqLYkEwmMT09jYaGBty+fVv6XNzR1MHc9+RKewx5PyGEIJlM1kxn+EdzBP/z634orRwhooD9jR8j6F6Fhn9z/u9rUOPJZQxA6+vrk8q83G43NjY2jhbRpxRce/Yzzh+jw1Bp2rbUPdXr9RgbG8MLL7yA97znPZm/ehuAL6h4Kx5p26TBUbr0yCj+NNKScOajf6wZ/2/M+Lnp6N9/DkBxQxeDcRLkfq92dnawtbWVlwGnw01r4TDwPI/Dw8O8AXCFjq00w0DVnhwOhzQlend3V7EjoCbDsL+/j9XV1aKqUsXInKis1WphNBql0qZkMqlIdS/zmuqBWqyRxWY/LCwsSGVetEewWtcBVG+NBMr7Gyl1GGq4RuqQdjjee/T7QgG1FNKOA490+ZKi3gXKsToMtIFKTv1Aq9WqzjAoUUoAAI/Hg0gkgtHRUUUlQemSpNIGqZBK0v6BG+79NYyOjkrKA9UYYJOLKIq4f/8+hoaGFGliAwomPRd4z+npaQCQFIXKHYgmx91VM8yNFgjJKFLJKIRktKDzIKQS2Fv5LqLBtIeu0eZ/omo4ZqUMUO7sh0Qigc9Nq1dJ4krLVp149ARQbkQ/8IEP4JlnnsHk5CSefPJJfPKTnwSAbgCfPDrPh5FOm77l6P+fQTriMYN09GMc6TTrXxNCsrQbCSFzZV08g3EKEAQB8/PzIIRgcnIyzzEoJ6uu9H13dnaQTCbxxBNPVK0kqNCx9HNyHIeJiQnp/ZQ6Amoaqf1+P2KxWNGKAjXwPA+9Xo+2tjb09fVlqe6trKxIQ79oTX8tqNZmvxrXUWw9yZ39QMu8qEpkY2Njul+0Cn+XajoM5RAOh6XMVSlqtEZGALwdgAWPA2cNGf9P/206+scC4LOoV4dheXkZPp8vr4GKUo6qQyktaEIINjY2cHBwIHm3SuB5HvoKMgxrG5v4tV98i+RF03OqUYsoZRRcLheCwSBu3bqF1tZWRedNX0d5hmJsbEyKGOzu7kqDvKgDUZEsHeHA8xrwhgboDA3pzy7G4HIuAgD0Bhs4nkcyHoJj6dtIxHzSSws1Px93jWf68yvZ/GdnGDTH6DAIglCWcVYzxfLpp5+G2+3Ghz70Iezt7eHq1asA8C5CyObRIV1Iz0qgpJCWkruI9A3cRHqOwn/OPTeX/oNwtImZ47ghpCMzHgB/g7Q/3AHgEGkDS0g9FBwzGCUIh8OYnp5GX18fenp6ZG2P2jWSbsCL2Y5IJIKpqSkpOq4kA1mJw0AlWru7u9HX15cXoa7WBOdUKoWlpSWIoojbt2/XbDOZq7oXjUbhdruxsrKCWCxW1kC046LSNVKNSlJumRctf9va2kI4HIbX61U0+6EQ1RIGKReqkqSEWqyRR2viTMUfpATH4jDs7u6C4ziMj48XlbusZg9DMpnE7OwsjEYjJiYm8JOf/ETxJrDSDEN//7ksZwEob+KlHIQQbG5uYn9/H3a7XXWKtfQYhsJH5EYMQqEQ3G53lixdMplUHb3IPZrjOEBjQmvPTQBAMhFByLOB7fmvQkjFso7VyBiJWsvOFaKcpmclRu6kFSDUNnQ999xzeO655zJ/9AP6H4SQZzN/QQj5CwB/oeS8R5t/AgAcx/0M0ioRdqTLkb6IdInSPwFwjxBSVHKOwagXCCFYXl7G1atXZUU4KOVKpRayMQcHB9L7CoKA/f2iJdR551VCphPgdruxsLBQcM5SNeRSgcdOUHt7O0KhUFU3kqXe22Qyobe3F729vRBFET6fTxqIptPp0NDQgFQqVdEadVLrWzXPQWc/RCIRtLW1obW1FR6PB5ubmwiHw7BarZIDoTQYedIOg5q9WC3WSC7jj0EDZRzH9QLQ43F/n4h0MC2QeZxSjsVh6O3tLdmfUM1BM7TB6dy5c1KpDj2/kvrPSnsY4on861ITlSlklERRxNzcnJTKffjwoerNeakeBjmVpELXSAeiZcqtOZ1OPHjwICv7UEqWrtRH0OnNsLUM5TkLgHyGoRrGsByNaSV/idymZyIKePToEVpaWgoqS5x0SZJaY1grOI7jCCHkSC71f0V6YuUqgP+FECJwHBdBupbz1wF8heM4nkmqMuodjuNw69YtRcNNywmq5a551EGhIhl6vR4+n0+VE6Cm6VkQBGxsbGB/f1/qVyh0rNKSpELHeTwePHr0CFeuXIFOp8Py8rKi66wFPM9nDUSLxWLY29tDKBTC3bt3pdlITU1NNRvgWoyTWCNzIYRAo9GUnP3Q1NSE5uZmNDY21swxqCQZHYlETnyNzHASeI7j3gHgXwJoweOm5wjSWfg7hJA/4Mr4452ISpIctKFLKYWMp8PhwMbGRl6Dk9o0qk5T2iAWUkmKxfN7Kyqt+4zH43j48KHURF2oqbnkuUv9Kco0AFRuzeFwYGRkRCpfypWlK/cLTwpsx7U1chhK1WfKv0bBMTkZBoNBj+7ubrjdbklZghpHOvtBFMWqLCiVaEyryTDUECo9NwqggxDyexzHvRVH0nGEkCjHcft4PAGzPjoMGYwSKLHlatdIuY09lRa12+15oiNqZMqVrjuEEPj9fhgMBkxMTJTsC6ukJGlrawt7e3uSUxKJREpe53E2IRuNRrS3t0v9lHQ20ubmphRxb2lpgcViKTmbox4oZ43MRS6IxRWZ/bC8vJzVJ2Iymar2N6wkMFcPayQNqAG4BuD/Rlrw45t4LBBiRrrciaYxeRSQXS3EiQ9uo6jd/OYaOFEUsbCwgEQiUXHDGM/z0PGljy00hyGeyDfqaj5f7rFU6i63Wbwch6H0d6vyL18xWbrl5WVpnkFLSwuMRqOyOQ8FPmetMgxlnUORw5D9XGk1vDT7AUiX0tFMzdLSEkwmEwghsil8tZwBh4FixeNmrW6kIyeUFgB0oAtzGBhnhkrLdn0+H+bm5jA8PIy2trasY9VmwJVAS4O0Wi2uXLlS8nilfX65654oinj06BEEQcD4+Lhk49T0DSqlnDVXjlzRjHg8Do/Hg42NDYTDYdhstqJZ53pQW6pWJr/UJj1z9gMASd6c9onYbDYkk8mKFcQqKf2tkyw8DajdQnq421sIIbLKQEfOhWoFhbpyGNSQaQyj0Simp6fR0dGB0dFR2XOpTaPqtOVnGOLxfIdBbYaBGiWHw4HNzU3cunUrT3WhFhkG2V9XaB8zZekIIVJjGFVLiMWeQNr5LUyhDMPpK0nKfja02uxnSKfT5c1+WF5ehtPpxN7entRER2c/qKHcCEooFKoHYwg8vsVrAESO496FtKycFwA4jnszgNcD+Puc4xmMU0+5DkOmhKncOlLOuUuRqYi4srKi6DVqVJLocfF4XOpXGBgYyLPZ9eow5JJZkiOKIoLBINxuN7a2tqTSppaWlnqxwxInsc6azWaYzWapTyQQCMDlcuHhw4fgOK7k7Idi11JuhiEUChXtPzpmggCWkO7tk3UYyhUDqZuSJLXQxitqmAo1UuUer4R0hqF06regw5DI/xupuQccx0EQBCwuLiISiWBiYkJ2c3hcJUnVNI8cx0lfeCpL9+0NBV59gc9ZTyVJis4rk2EoBJ39QPtB7Ha71ERHZz9kLiSlPnOtx97XGmrkCCEvcRz3ZwD+A4BWAA0cx30cwFsBPALwqaPjqq9ByWDUACX2SokyYO7xiUQC09PT0Gg0WRKmuaiV/S4EIQTr6+twuVwYHx+HVqtVvEapzTAEAgHMzMzIZkzUnK/e4PnHWeehoSEkEgl4PB5sbW0hFApBEARYLBYYDIaazUY6LipdZ+m9MhgMGB8fRyKRgNfrlWY/WCwWyYEo1DtDqSTDEIlETtxhyOjX+wqAZgC/x3HcV5F2IBJI9zKIALyEEFVyqpS6yTCohed5BINBrK+vF5RqzURNBCXd9Kxg4rCKkiQ1EEIwOzuL5uZm3Lx5s+BiUo5BLK8kqXZGV6PRQKMgUl7ocxbacNeDioQcpTIM8q9JRz5ym+hoGpsuJNSxaG5ulv0+nIWSpIxG5k8j3cj1FIA2AD+F9OCbjxBC/KzhmXHW0Gq1iEQipQ88QhAELCwsYGhoSJoWXYhqZBhSqRRmZ2elzRtdn9SUOintYYhGo5idnS06ZE5JQK1Wdr6a6PV6dHZ2orOzE4QQTE1NIR6PZ81GKieiXg9UQ9Aj82+o1+uLzn7IzNDnroWVOgy1mrtRJlcA/C7SAiDbSPcqhAE0Ii3J+rly1si6cxiUfIGTySSmpqZACMHY2JiiB05tSZCWKz0ULj2dO59KHAaqSXz+/HkMDg6WPF51hqHEHIYTMTjKmhhkf1rLHgY1hkxITwYofd6cDINOhcOQS66yBJW5zWw0p8aRPv9nQCVJBABCSBDAnwD4E47jzISQyNExv8hx3Boh5OEJXiqDUXU0Go3ipmen04mDgwMMDAyUdBaAyjMMdI7EwMAAuru7pZ+rscNKroEczVaKxWJ4/etfX7QsU4kDonadqFVJkpr312q16OnpgcViyZqNtLCwUL3ZSMdENRyGQueQm/1AM/Rra2vQarVZjeaVXIsoiic+Z4PjOM1RVv2fAfhpAH8EYBlAE9KD2owA+pHd86eKuipJUiJ9ShuAL1y4gNXVVcV/YLVNzxouifQmtfC1FypJSiTLcxgODw+xtLQkbfSUXGcx4yVn3ErPCTt+h6GSpudAMJDX7FStHgY1BkDJn5yIInI/rU5X+vlVYsjkZG5zJ5DG43FEo1GYzWZV9ycUCqGzs1Px8bUgQ1L1pwA8jfS0yu8SQj4PIMlx3K8B+BkAvwzgOQAPMwwog1HXKC1JKrWGiaKIpaUlRCIRDAwMKN40lmMvqZ2l69bVq1cl8YZyKLXBT6VSmJ6ehslkQkNDQ8kerlKb+9MWjc+EXruS2UgtLS2S4l69UQ1pVqUb/dwhe/F4HG63W2o01+v1UhmfGmerjsre6I18M4CfEEJ+t9jB5WTg6yrDUMph2NnZwfb2tpSGXF1dVXxu9U3HSpqv5K8zkVS3R6FRE5fLhYmJCSwtLVVlgI38ayo9oPookiMt4FbEoxE8fPgwS5auWvrQagysjJJuHrnlSACg05X+CpYT+chsNAfSwgD379/H2toaotEorFZrURWOTE5aYzrDWXgNgD9Euj6zHcB7OI7rANCHtLOwAuBXcdT0zJwFxlmilMNAG4BbWlpw69Yt7O7uVqUvQQ66ud/Y2IDH45HmOVQCz/NIJuUNaSSStvPnzp1Da2srHjx4oOgaT0vTczUoNhtpcXERZrM5a8NcD1SjV7DcKc8GgwHd3d3o7u6WBuJ6vd6yZj9QmfsThn7Z7wKoyYJ9bA6Dki9aIYMoCOnhVqIoYnJysqzUj9oehmAwWPK4ghkGFSVJgiBgbm4OWq1WKq8qV15OCWWpJNUDBRy4wXMDON/fliVL5/P5JC1rJRti2bdTmaVQ8ifPncEAAHpd6We5GpOeTSYT9Ho9rl27lqXCkTn7oaWlBVarNc841kEPA5WL+y2k6zH/JdKycZ8H8L8B+CyAX2dlSIyzTLE1jA4sy5TeLrYBrxSe5/Hw4UM0NDQoLgtWck45B4cKm9AMhiAIFc1rOO0oXZsy5Ugz6/nn5+cRDoexsrJS0WykalCtkqRK10eO4yS5dyoFnzn7wWg0Sr0iubMfCCH18pzRi1gE8G84jtMiHTyLIN3vF0PaqdgihChXT8igLjMMmVAt556eHvT19ZXtxSnNMBBC4HQ64fP5wHHFo9+FJj0nU8ock1gshocPH0qfTTqviuavYxncVuPvgqIMQ4mm58x6/rW1NfA8j1AoJCtLp+QZUpuliCeVlBblPxcGfW0yDMXIVOEAHs9+cDgcCAQCMJvNWcaxXnoYANwG8AlCyMsAwHHcJoBZQsj/evT/egAiIaQy1QEG45hRugHMXR9pdvrg4CBvinK1pVIpoVAIwWAQw8PD6O/vr9p5cwNlNOq7v7+fJWyidN2rg4hv3ZBbz3/nzh3Y7fa82UjU5h8XtexhUEtmYK7U7IfMKd2pVKqk6M4xoUVaRvWtSA9vuwzg5wAEkG56jiGdnf8NADMZg94UU1dFbbkG7uDgAA8ePMDly5el6ca5KP28SoxnKpXCgwcPIIoi2traSkbb+QIZhqSCkiSfz4d79+5heHg4y1kA1BnEYo5FJBLJizCVanqWyzHUhe9cqOm5gKFoaGjA0NAQxsfHcfXqVRiNRmxtbeHOnTuYn5/H/v5+0eib2lRp2RmGY3IYij1PdPbD6OgoJicnMTQ0JNVCv/Od78TMzAwePnyIcLi0Etvzzz+Pc+fOwWg0YmxsDD/84Q8LHstx3Bs5jvsbjuP2OI6LcBw3zXHcPyly+iakZzBQjAC+lPEZE8xZYJxVctewVCqFhw8fIhqNYmJiIk82shYOw/7+Pqanp2Gz2WSlTCshcz0TRRGzs7MIhUKYmJjI2pBVK3NAo8hq7lE9ZC2q8f4cx6G1tRWXLl3CxMQELly4AFEUsbi4iLt372J5eRkej6cmDmcmx9nDUMl56NyH69evY3x8HO3t7QgEAvjUpz6Ft7zlLYhEIrhz546i+1WrNTJjSNsfAngbgJ8F8O8APA/gzwF8DcB3cDS3qJxZDHVVkkQjKIQQrKyswO/3F62NpBEJpQ1jsVis4O9DoRCmp6dx7tw5mM1mbG9vp4PtVc4wEEKwu7uL7e1t3L59W9abV5NhKMT29rZUbkIj7K2treBQvJn6JKIyih7bQhkGbWlDkStLR8txdnZ2AEDKPlitVunz16Yk6eQyDEo/D539YLFY0NfXh7/+67/Gb/zGb2B6ehpvetOb8DM/8zP4j//xP8q+9nOf+xze//734/nnn8dTTz2F559/Hu985zsRDof7CSFbMi95LYAZAP8/AHsA3gHgv3IcFyOEfFbmeD2AZzmOGwXgQlrx4Y0cxyWQ1pkOIx1JmSk04ZLBOK1kDh8NBoOYmZnB4OBglipRJmodBrruyNkauiYHAgFMTExgbm6u6v0RdD2PxWKYmppCZ2enbKCwGmtULBbDgwcPYDKZsLKyIkXYW1paSur11wPVXKflZiPlCmbQ7EO1pUOr0cNQzQyDkkxB5pTu8+fP49atW/i93/s9fOITn8C9e/fw5S9/GUNDQ7KvrcUamdHj97tIB9W2AISQXg+9AHaQLkuKIJ2B2FN3Zx5TdyVJsVgM9+7dQ2NjI8bGxop+MahBrFRWdX9/H6urq7h27RqsViuCwWD6IeTSu49CFOphKJZhePToERKJRNFejEp6GAghWFhYQCKRkGY4CIIgqQE4nTEA50qeu94o1PSslbmHxTbHHMfBZrPBZrPh3Llzkizdzs4OgsGgJEuXSqVUOgwKypxkgt9KHAZ63ZVQbh+ExWIBIQS///u/j56enqJZmY9+9KN49tln8d73vhcA8PGPfxzf+MY3sLKy8s8B/Nvc4wkh/1fOjz7BcdybAPwS0n0J0qFH/34FwDCAQaSzo4dIp1/fcPR7AYAd6WnPB2o+J4NR71Ab4HA4sLGxIa1XhVDrMBSSXk4mk5ienobVasXt27fBcZyqQajFHJHc46LRKO7du5fVi1FtfD4f5ubmMDo6KtWjx2IxuN1uSa+f9nTl1vcrDebVmloG9nLVhKLRKNxut1SOQ2cZVCPTUa8lSWowm824cOECPvWpT5W8JzVcI4H0TKJ+pNdLLdJrJIfHZSN0fXwtylwf68phSCQS2NnZwZUrVxSlO2nERUlTq5zxzI2a0PNQY8jzKOoxFFJJksswJBIJRCIRtLW1YXR0tOgXvtySJGrY7XY7Ll68iFQqBY/HA1EUYbVa0d7ejs2oAQuukmfGcRYiESWt1gXuR6VzGArJ0rlcLvj9frS2tiqSpUsqcBjkMgxGw/FM6qykMSwcDksbk0LftUQigXv37uGDH/xg1s/f/va3Y2Vl5bUq3s6GdEREIiN1+rsArEg3PBsB6JDWlzYd/WNAejBNQMX7MRgnjtK+qmg0iv39fUxOTpaUFVXrMMipFNJMxtDQUJa0cma2oxRKZ8B4PB54PB488cQTNRuCtbe3h42NDdy6dQsGgwF+vx9Op1NSEOrp6QEhJKvhtd7UhY67JMpkMqG3txe9vb0QRVHKPlDlKpqhVyvXDVSnJKlclSS5ayl3ThEVBSn2WWq1Rmasj/8b0ushXR9NR/+m/13x+nisJUmFIIRge3sbh4eH6OvrU1wbqXa2gtzm2mazSVGTzGMFQSitKFQgw5ASsiMQ1OgajUYMDg6W/IKU09SVKTvX3t4uZRX8fr9kAHmeh9/ThGS8DVqdGVyhL0epbu8ToGDTs0xJUrlzGDJl6WKxGNrb25FKpeB0OrG0tCQ1A7e0tOSlLsvtYTAYjucrWIlRpbMbiuFyuSAIAjo6OrJ+fvT/ioY4cBz3bgBvAfCk3O8JIRtKzsNgnDVomQ7P81LmuBRqsgD0+Mz11Ol0Ym1tDdevX88TPVAjU15qPSOEYGlpSQrQ1MJZyAwOjo+Pg+M4BAIBbG5uIplMIhAIwOFwwGAwwGq1wmaz4fz581LWg842iMfjMJlM0jGnsbG6EoeDljfbbDaEQiGMjIzA7XZLct2ZzcClHFpKNXoYqjE0rdwMg1JRkFqvkYSQtfxXVJcTzzCkUinMz8+D53kMDQ2VFRFReyzdwJ8/fz7vjwdkRkSKn7NQhiGVkWE4ODjAysoKrl+/joWFBUVGVqkxphkGKql35coVWK1WJBIJHBwcIBqNSptEungk42FE/EmA46DVmaDVW6DVW6DRPu4TOd78glLfRP4gvcyk5GpNetbpdGhubkZ7e3ueLB2dpEzT1opKkk4ww1CJNKsag5x7348Wp5J/YY7jnkQ6xfq7hJA7Ct9L9qaX08zFYNQrtFRmdHQUCwsLil+nJgtAjxdFUdrAh8PhrMy73LFqzisHDdw1NjZiZGQEGxsbiq9XKYIgSAG7W7duQRAEuFwuqYeNSpnTY71eL9xutxRAstls6OjoQF9fn6Qk53A4sLCwIM2zaW5uLku+uxwqXd+qtT5SKdKenh709PRAFEX4/X54PB5sbm5mzUaiMue5VMPhOumSpFAopEp2/LjWyFqsjyfqMNBx8n19fejt7cX+/j5CoZDi15eTYSgWNck9VqbaJYtCGQZBSBvdtbU1eDwejI+PQ6/Xq8ocKD3O7XYjHA7j9u3b0Ol0iMVicDqdsrXmacN49D+EIJWIIJWIADgEr9FJzoPcO9+9e7dgXedxUOh+yH3BqzXpOfMcubJ0dJIyTVvveIZQqjeECPkZBnOdlyQptS2tra3QaDRwOp1ZPz84OACA/WKv5TjuKaQVHP4DIeQTKq6NOQaMM0EhBcC1tTW43W5JVlRamxR8l8spSYrFYlhYWIDdbsetW7cK2tFqOAxUaISWO4XD4ar3B4iiiLt376Knpwfd3d0QBAEOhwOHh4cFrxV4HGALh8MIBoPY3t6G0WhELBaD2WzGpUuXwHFcnoAGLV1SKt99ElTDbMqtsZnNwACyZiOFw2HYbDbFw0LVcBwqScVQmmE47jWyFuvjiTkMdON+9epV2Gw2AOkvaSqlXBVRrcPg9/shCELBqEnmsWmHgaDYKDOO42XLd1IpAVNTUzAYDFlDbZQaWSVNz4QQHBwcIJVKYXJyEkD6wd3f3y/6HoXKrEQhiUTUh0TUh3jEA47jwWt00Gj04HgNbt++nVXXaTKZJONYqQZxJRkGjaZwc3MllFJvyJykTAjB/sscsFv8nHJNz0ZT8emo1frOV1KSxCmYYqnX6zE2NoYXXngB73nPe6Sfv/DCCwDwUpFzvx7AVwH8J0LIx8q6QAbjjJFMJjEzMwOz2Yzx8fGsjazSSKiaTT3wONs/MjKC9vb2osdWUg4MAIeHh1haWsL169el/qhqS5b6/X5EIhGMjY3BbrcjlUphc3MTgYCyEu7MdRuANOjy3LlzmJqags1mg9VqRU9PDwYGBqSewa2tLYRCIdhsNrS2tqoqz1FCNQJixyFlmjkbiRCCQCAAt9udNRuJqmJWcj2iKFbl/pabYYhEIoochrOwRh57D4MoilheXpZNd5YTEVFiEBOJBGZnZwGgaNSEQjfspTIM6WO1EIXsaH40Fkdrayt6e3vzzqum1KgQqVRKqmelY80DgQBcLldBg/v1Fw/xo7k4muyNAIovBhw4iEICopBACmFwnAYHBwcwm81SXSdVlaDyejT1WKugLykw6bmS2RzF30+5EeM4DuCLb/wB+aZnU4kMQzWawoDyjaGaKZYf+MAH8Mwzz2BychJPPvkkPvnJT8LhcADAJwGA47gPA5gkhLzl6P/fiLQhfB7An3McR+s4BUKIfAiQwTij0A1zIBDA7OxsXqMxoG6NVGM3HA4HPB4PhoeHSzoLQPkZBjpozuVy5Ummq3VwikEDkmazGXa7HbFYDGtra4jH5Qfcev1xfOzPpiEIIi4MtOCJm+24NPBYZtvpdMLj8WB0dBQ6nQ6iKCIQCMDv92Nrawtmsxk2mw2NjY3S/QsGg3C5XFJ5Dm0MPunEaDVLkpTCcZw0LHRoaAiJRAIejweJRAJ37tyB1WqV9hBqsw+VlNtW4zyhUAhdXV2Kjj3ta+SxZhji8TimpqbQ0tIiu3EvV9WhGIFAQOpX2NzcVPWQK3l2OF4D5DgMHMfnOQvpn1c+kI1Ovh4YGIAoinA4HAiFQpLUXS6EEPyPrziw4jSA40zwR3UwlBzkmFtjJyAUCkmRGarZ3NHRISkneDweOBwO+P1+LC4uoq2tTfGXX1mCQbmRPQmDmBKUqCTJlCSVyDCcdENXPB5XrEv+9NNPw+1240Mf+hD29vZw9epVfO1rX8PrX//6zaNDugCcz3jJswDMAD549A9lE2npVAbjVcXOzg62t7dx48YN2broag9jowMao9Eoenp6Cs48yqUch0EQBMzOzkKn02Vl3jOPq3QzTcu4vF4vxsfHcffuXczNzSEUCkGn08na9NWdED7x2QdIxNNzmu7PBHB/Zh06nQHdnc0Y7NTiUj+PyyMjeVkHCu0b3N/fh1arlcQz+vv7JflumqEIBoNYWlpCS0sL7Ha7artcjXt03OtjLnQ20vb2NsbHx6XSrunpaQDp2Ui0ubrU+5x0SZLSDANw+tfIY3MYfD4fpqamiuorV9thcDgc2NzcxM2bN2EymbC+vq7qmhXMBAPH5d/CQt9nNSVJcqVZXq8X8/PzuHz5Mmw2W9YMAZ/PB71eL9UQGo1GJJICPvYXu/DFLKg0SK3RaCTDFo/HEY1G4XK5oNfrYTabYTKZMDw8jFgshp6eHvj9funLX7Kus4KSJNkjq9TDoMZ4KBjuLdv0vLO9gY4mXhqKk3vdJ20M1TZ0Pffcc3juuedkf0cIeVbm/5+VO5bBeLUxNzeHZDKJiYmJgiUWdLhpNUgkEpiamkJzczMuXbqE9fV1VWVGSsuHeZ5HNBrFo0eP0NPTg76+PtnjKp1xQB0SvV6PW7duQRRF9Pf3Y25uDh6PB7FYDDabDXa7HVarFRqNBi89dOHzX52BKBPMSSbj2Nzew+Y28INXODxxW49fe9dgwc9I7Stt/vV6vdjc3ERDQ4M0+8dqtWJzcxOtra2SupBer5fWSLlBroXuVbnUosev3Oug1yI3G4k2ltPZSC0tLbIObbXWSKC8+xoKhRQ7DMDpXiOPzWEwmUwYGxsrGq0sZ9CM3PF0xHksFssyvmo9c50Cx5+XaXwWRPn3qaQkaXd3F1tbW1Jzczwex97eHvR6PQYHBwGkpfc8Hg9WV1fhDSbxjYdNEPnsB1nJHSj1nclVlQgEAvD5fBBFEXt7e+ju7i5a10lVJaS/i4JrUvO3q98MQ/6zennkInieFJSlq6YCRDl1nkobuhgMRmX09/cXVJOhqO3zK4Tf78fs7CyGh4clGXM1WQONRoNEIqHo2EQigcXFRVy/fl1qiJVDbUlSpo2Ox+N4+PAhurq6JMUep9OJ/f19qdeMlhH5fD5sb2/jziLB1MKBouz1YH8n3vOOfkXXldlvAqTX5Ugkgr29PYRCIQiCgK6uLpw7dw48zyMej8PtdmNpaQmJRAJ2u13KPtRCXKRa62Ol11boOgrNRpqdnYUoipL4Cp2NVE2HoRzUZBhOO8fmMBiNxpKpN61Wq7rpOddoxeNxTE9Po6WlBSMjIxV9MWQUO/OQU0oqZPTKUUkihEg9H1Q/OhKJwOl05r2P0WhEd3c3uru7MbXoQ6PZC08oBk6b4aQp2XgXuGebjjB6O0xZw9IyHYfFxUV0dHRI0RWj0Qiz2YyGhgZpUQqFQnC5XNja2pLqOol4CemhhMWod4dBwTllolhNdivaWqx5snQbGxvQarVoaGioSmOY0rH3uWQOpWEwGLXDZrOV3DCXU5KUazto2dOtW7eyZh5U2sgsx87ODrxeL4aHh4s6C/ScSgNDdI2k8xRmZmZw6dIlNDU1IZVKYWtrC36/P+/8drsddrsdgiBi7XAb7a0JuNxB2QwDZfLWefyjdw+VvCZvIIl9TzSr94G+L8/zODw8xP7+Pi5cuCDJxzY0NEj1+7Qf0ev14vDwECsrK7LiIvUkq1rpOZRM/6blXYODg0ilUvB6vXA6nVhcXITZbEYikaiKE10ur6Y18sTnMGRSaUmSXNSkEnRaBZt7mVkMYoUZBmo4U6kUZmZmYLFYcO3aNakh7vDwsKRhvXHJjhuX7ACA5c0gvn/fg819gBAlKc98Q/CZr+9jbksDjgRhNycxOqjHkzftaLYZEIlEsLS0hHPnzqGxsVF6TSqVkpwHnudhMplgsVjy6jqTgoBSj+JxZxjUplyVOAxyJUkWy+NNfKYs3fnz5xGPx+FwOBCJRHDnzp2KZOmqMcWSwWCcLJVMbxZFEQsLC0gkErJlTzzPy8pxy1FqLaNZ/ng8jp6eHkXZTTUqSfT9Dw8Psbq6ihs3bsBkMiEWi2FjYwPRaLTo6zUaHj//5gH8/JsHIAgi7j/y4McPndje8yEeix5dD493vXkU73htd8nr2XTG8Kdf90Hk9ODIPlqtKVweNOKnrjbCaNBid3cX4XAYo6OjWYHTaDSKcDgsDY2jpTm54iLz8/MQBEFyiCrpY6gXh6GcNUmr1aKtrQ1tbW0ghCASiWBubg7r6+tYW1s7Een3cDgsKX2ddepi0rOaYzLJNJ6FoiaVoCTDIFeSJBb4MqvJMCQSCdy9exf9/f3o7OyEKIpwu93w+XylLyqHiwNW9HXosLCwAC9pwUtLJa8g7yfz29p04oHTwRfT4ccLwEuPgtDzB7AbAnjDWJckj0vJ1bSORqOIRCI4ODiAwWCQFCy0Wh1QKrstc99qqXKtNuVabtNzMZUkg8GApqYmJJNJXLhwQWoMy5SlU6r5XesplgwGozKUTm8ux2EQhLTUd1tbG0ZHR2Xfi85hUEIxhyGzN2JkZATr6+tVn68AAOvr6/D7/ZLsbCgUwvr6uupos0bDY/xKC3pbkvD5NGiw9+IH9/bR3cqhrcGD+XmflJkwmUx59+7hYhBf/lEE3JFSHuH0OAzp8f1Z4HvTfhj4MLrsSbz5iZ48G5xb3ut2u+FyuaS5P42NjVniIl6vFw6HA/fu3UNDQ4NU3qu0Wb1aVKMMqNJzcBwHi8UCo9GI4eFhaLXarNlIRqNRuj+lekMqccBeTWtkXWUY1EKN4fz8fMlmMbXwPA+dprwMA6kwwxAOh+F0OnHr1i3YbDakUikcHBwgHA6XvnAZAoEA1tbWcOHCBWy6baVfoHAnznEcksSMw5gZn/9BEt6wE2+ZlJcXyzUMNPvg8XggpJoAlJhHIFeSVOA6qxH9ANQ5sCkF66Fc2lupAgTP87KydLQ3pNTE0eNqemYwGLWjnFlFXq8Xq6urRQVHAPU9DHLHBoNBzMzM4MKFC5K8aDXlUoG0LYtEIjCbzbh165ZUxrO1tVXWxk8URWxubkIURVy6dAk8z+PX3/04YpxIJODz+bCzs5PXOP3dV/x4cU4Ex8sHfjieRwJWbPqAP/v6Pv71r+lhNsqvdbmN0+FwGKFQCNvb2zCZTJIDYTKZcOvWLUQiEbjdbszMzABIKwu1traWDCDVU4ahmpOec2cjRaPRvN6Q5uZmWWWqSpwX5jCcEgRBwP7+PoaGhjAwMKDo4VP6oGs0GmgVOQzKMwxKDKfD4cD29jba2tpgtVqRSCSwt7dXsMHMG0jif/zdPtrtPJ68bsVQb3Zq7PDwEHt7exgdHU1PCvWW/EhQG7tPpWL4mUkt3jDeWfrgIzKzD/Uoq6oWQcF6KNf0XIpChozK0nV2doIQkjdxlGYfrNZ0PS3LMDAYpx+tVltwloAcsVgMq6uruH37dskoq9oehtxj9/f3sbq6iuvXr2fZjGoOZKPNzTqdDkNDQxBFEQcHB9jb2yv4mhde2sHcig83L7fhiWutMBoe28FUKoWVlRVYrVZ0d3fLrht6vR7t7e1ob2+HKIoIBoPwer34q2/tYzfYCk7BRrNB48G/eHoQBr2yLVeuzaflu5ubm9ja2oLdbkdjYyO6u7vR398vZSeKiYtQ6sVhqEbjNCC/RnIcJ8m/9/X1QRAE+Hw+uN1urK6uwmAwSPfHbDZXNMshGo0qVrc67dRVSZIafD4f5ufnYbFYJJWgUkgTnBVOydRplPQbKJdVLWY4CSFYWVlBMBjEyMgINjc34fP54PV6Cxrx5e0oPvU1L8CZ4A4Bj3YS4IgDXU0ibg4b0WULIRGP4sqVK9JnLjTpOfc6cxFFAl7mxUIyhH/89kZcuWgved61nTAiUQFXLlhz3kPBRRW4b3fv3pU2x1Q14UQcBkU9DNmRQSWXqCTyUUiWbmdnB8FgEA0NDYhEImXJMaqVjGMwGOVRzZIkURSlzPvVq1cVbWgqGcZGZx/kDmNVe95iBINBTE9PY3h4GFtbW5JUam5zM4UQgj/7ygpemd4AAKxt7uFL3+DR0tKI0fNtmLzShKB3C11dXUUzL7mfhWZ6n25N4sWHbjzaiCEYM4LT5mcOiCiipzGA3/rF8wrKRkW88GMnrg3b0dOeXVbN8zyCwSC2t7el8tRAIIDNzc28oXG0ETyzfJU2TlsslrrJDhynZDgVWKF/Z5p9WFlZQSwWQ0NDA1KpVFmOAyGkKrOSTgN1l2GgkqLFHoDt7W3s7u7i2rVrWF1dVXxuamwVOwy8AglUmQxDIaegkOEUBAHT09Mwm824efMmkskk9Ho9vv/970MQBCmVlim596MpP/7uxzFwfLbyDeEMcPgAxx2AiCbYTBq8KenFE9dbj66h5EeC3Ab+N3/agBcferC+JyCFBvAaDUjCi/f+rB3n+xtlzpHNyzNefPnFBDiNFuRbe2i2pnB9yITX3W5SFH0iyL9vHMfh1q1bWaoJFosFsVhMuofHRUpUL6uqxOAKgqDaqMrJ0s3NzWF5eRkA8mTpihGJRNDT06Pq/RkMRm1Q4jDEYjFMTU2hs7NT1UamHJWkVCqF2dlZGI1G3L59W9aeqGmmLsTBwQFWVlZw/fp1aVrynTt3cHBwAJPJJPUYUGclkUzh//3MHLZ2DrLOQ4gIl8uLH7q8+OHLgNlkxtCgHr/xbjuMRnWbPluDDu96qhPvegoQBIKpZT9envHg0K+DyJtAiIiL7T786juHStr6WELA//OpaewfuPC17wJGkwn9PS2YuNqGscvN8Hk9cDqduHTpUt66ljs0zmazoaGhAX19fRgcHJQCSOvr61I0vNzNMaUa2YFqOQzlXIvJZEJvb6/UG+J0OhEIBHD//n3odDopCCk3Gyn3vY87OHmSHKvDoCQ1SY2W3ANAoyaiKGJiYkKaHqkUNZEOjuMQjQQAFI/MyGUYip0z9/1jsRgePnyI3t5edHV1SakzvV6PK1euIJVKwefzYW9vTyoPeXnJgNltk2z/RNb78VrEYwFcPvdYMUpJhkEu4N/brsXEkB8//1Q39KZGvHjfhdF+M5JxD6amdtDQ0ICmpibZ+sCvvXiAH85y4DTp6+U0BngjhqOmMC86h0RoSon+FHhu3G43zGYzLl68CCC9wZ2ZmcHCwgKA/NKcWqGsJCk7w8AruJ5KJz1TWTq9Xo/r168DADweD/b29iQHi94jOdnVSCTCehgYjDqh1KaeDvccHR1Fc3MzlpeXKyozKnZsMpmUhDmKBRUqyTAQQrCxsQGXy4WxsTFoNBpppkFnZyc6OjoQiUTg8/mwtJRW8+C1Fnz2G074A8GS54/FE+hub1TtLOSi0XDobU7AcDmK4eE+uP0CdvZ86GwyY3FxEQAkpyZ3E+oLJvCR//4AwWDg8XVFo1ha2cHSyg7+4isa2BstuD7Sic5egtacOFhu74PP54PH48kaGkebpwFgb28POzs70uaYRt7ViMXUS1lTNeB5Hg0NDbDb7RgZGZHmWdHZSJnqhHI9svXyOY6DusswUIOYm9bMjJr09/eD4zipNlvtuUtBB7yIqeLSbIB8hqEQuQaZysCOjo6isbERgiDg4OAAoVBIOia3keeVeTfmNqMlxxaIIkGr2Yt/9etD0GZsOMt16OfmH2Fk+IKkhPSu1z1ubhZFEaFQCF6vFzs7O9BqtWhqakJzczP+6tsezO/owRXwVDieV1SbI9v0DEiDeGjNoslkgk6ny9oc09Icq9WK1tbWsmRJS6FkPcyVVZUr8cp/jViVRn7qhPM8L9XjEkIQDofh8XgwPz+PVCqVJ0vHSpIYjONBaUmSXNMzIQRbW1vY29vLGpCqxgko1MgsRyAQgN/vx8TEBOx2e9Fjy3UYRFHE3NwcOI7D7du3QQiB3++XGpSBx0o5FosFPT09SCaTeP4v5xAIlhYI0epM+NV3X8Pk1dIZ8mIQQrCzs4NoNIqRkRFoNBp0turQ2Zru6evt7UUymYTP54PD4UA0GoXVaoXdbkcgqsMf/flDScpV/j4I8HgD+MGdKIZ6bWi1F56nU2honMPhgF6vh81mk4JIIyMjiMfj8Hg8UmkOtf+lhsbVU0lSNcjMtmTOs6J7Qdo/otFopAAbLe96NVGXDkOuQfR4PHj06JEUNaGoGfRCjy9luGhTlcFgQGe7Hdgufs5CUX5BELMGnNH3p6nZvb09bGxs4ObNmzAajUgkEnA6nUUb2jiOw8SVVkxcATYcUfzgnhurTgHxlAl8hlMgCgJGeyL4xz93Me8cinoYZFIMFy9cyJNNzfxctIZ+YGAAsVgMXq8Xn/irDRxG2xT4A+X1MHBc+nnJNI4OhwO7u7tobW2VFhKq2RwOh6Whcbl1nRUbP6JeVlWpw1AtoyrXGNbQ0ICGhgb09/dL2SwqS/fpT38aXq9XsTrX888/j4985CPY29vDlStX8LGPfQyve93rZI/lOM4I4JMAbgMYBfAjQsgbK/l8DMZZR6vV5jkAVCmQ4zhMTExkZSTVlBkpPXZrawsOhwMWi6WkswCU5zAkEgk8fPgQ7e3tUtnI4eEhHA5H0dfpdDq8/5mbiMaS+PHUIe7PH2BvP4BEIpZl401mG9779HVc6C3d23F/wYev/TiMZivBjQtmTFxphF6XvseiKGJtbQ06nQ4XL14suI7odDppfgBtnN7Y9uB//u0WUqnSE7P1eiN+5x/dwrkedcGb3OwDbfpNy5lrpaFxXV1dIITA5/PB5XJhZWVFkiVtaWmRHFBKvZUkVUqha8kc9gdAcrA2NjZw//59fOMb34BGo4HP51P0XTjta2TdlSRlGkQaNXE6nVlRk3IpZRBpxH9kZASHh4cIR0o/iHJzGAAgGk+gwZx9vbQkaWVlRdKP5jgO0WgUe3t7qrIlg90mDHb3AgDWNvbwgweHcPjMCEQ1uNR+iNeO2uByuSTDQNEo+H5qtTokc/wWNffeaDSiq6sLv/Or7fjRQy/uLQThDuqzJ04fQQiBVlMof5B1YN6Pck2zy+XC/v4+rly5AkEQpKFxGo0GRqNR2hjTiZFutxsbGxsIh8NobGyUsg/llACVo5KkUWAsjzMKk5vNMhqN+Pf//t/jP//n/4wPf/jDeN/73od/9s/+mexrP/e5z+H9738/nn/+eTz11FN4/vnn8c53vhPz8/Po7++Xe4kGQAzAHwF4FwB7rT4Xg3FWyF3DotEopqam0N3djb6+vrwNazWnN4uiiEePHkEQBIyPj+POnTtVOW8mHMdlSbO2tLRAEATs7u7C7XYrOgcAmIw6vPmnuvHmn+pGMpnEt198hBUHwe5+GBqdHu9+jRlGuBEK2YsGjL75k0O8NM+B4004DAHfegi8cN+DBn0cQ90adNu8GOxtRmenOoXAxsZG3GhsxH8a7MH37joxvXgIlycIUcjv9TCbG/C//JNbaGsqvQbfe+TB3LIXr73VgQt92c4F3Xs0NzdLpVyhUAi7u7tFh8Y9evQIqVQqS1zkpAa31Qql/RwGgwFdXV3o6urCyMgIGhsb8aEPfQjvete7oNPp8Kd/+qcYGBiQfe1ZWCPrMsNAB83Mzc2B53lMTExU5cEqZrgcDgc2NzelwW9utxt6TWm9a46Tv4XRWDLPYQDSmYXW1lbcunULgiAgGAzi8PCwrJQtdagSsSie+bkR6YEnpE8qEXI4HNBoNNIEYZ4rXaco5MyR0PC8onr7XPQ6Dd400Yo3TaQbrpe3gvjmS044vFqIXNqY3RjwI6jjES9xq+VcCkEEvvL9fbzhdjNCgQP4/X5cvnw5L8KWOTRuf38fRqNRio7Ruk6/3w+324319XXodDokEglJ61sJShyGXJUkXoH3dlJGleM4XL9+HVarFf/lv/wX9Pb24uDgoODxH/3oR/Hss8/ive99LwDg4x//OL7xjW/gE5/4BD784Q/nHU8ICQP47aP3uo46MIYMxkmiViXJ7XZjYWEBly9fRlNTU8HjlcqwFnMuaMS/ra0Ng4ODqjaLahyGVCqF6elpqbk5mUxifX297BlEsVgMy8vL+KmbffjpNz2+RzSb6nQ6EYlEpBr2xsZGaf348687sOw05JXTcrwG4ZQZM1vANOmAdiaGd7/Gj5sj6kubbA16/Nyb+vFzb+qHIIh4ZfYAP3xlBweeGGKxKGxWK973y+dgbyi9mf3OnX38zTdnQYiIV6bWoNcb0dvVhJuX2zE+YsPGxkqWIlSxoXFWqxU2mw3t7e3o6emRhsZRcRF6TFtbW9niIvVU+19OA7hWq8X169dx6dIl/M3f/A0ODw/R2Fj4GTgLa2RdOgzRaBRLS0vo6elBX19fVc+daxAJIVhaWkI4HM4a/KbRaKAtUyUJAKLR7DRjLBbDysoKTCYTLl68CEEQ4PV64fF4Cp573RFGd6sRBn3+ewiCgOXlZZhMJly6dCnri0e/zFarFf39/YjH4/B6vdjY2MC+XwvgevHPlHEujUaHD77vbTAUmUisBEII+OQB3jHOYWhoAJGYCMdhBE3mRnxxTkl4Pt9hIAB+sqjFjxf84MUUznU1gjdHMDKYPYtCTtPa4/HA5XJBp9NJes2Dg4PSULR79+5JdZ12u12q6yxkVArM6su+3hyHQVtnGQY5aKO9yWQqGDmh9+uDH/xg1s/f/va346WXXjqOy2QwXhXQzffGxgb29/dLZt7V9CUU2rwFAgHMzMxgeHgYbW1tsscoueZiEEKwubmJeDyOJ554AkajEdFoFGtrawVnEEViKSxvhXH9ok322gOBADY2NjA0NJTXh5WbTaUBtt3dXfC8Fi88NMGftJUsp+U4Dp1NwI1LCgailiAej8HEHeB9v3IJVqsVTlcUJl0KwaBfaugu1Dj9pW9v47svLQIZgbVEIoa1zT1JTrbJ3ojRC0G840kr7NbsTX5u6VIoFJJkXE0mk9Q4PTw8DI7jpLVxdnYWoihKQ+PUiItUa1p0NYe/qSUcDkuiIMW+G2dljTz2kqRSxONxOBwO3Lhxo2DUpFxyDVcymcT09DRsNhtu3bqVdX3pOQylU7mFVJIiscepRWpwe3t7EYvFIAgCDg8PEQwWVnH43Df38HBdB5AwLPoYLvXr8MaxJrQ1pfsdFhcX0d7eLkXIi2EwGKQhXz1hAVM7+/DHrdBoC0XP0/fBZDTh//jAu9HbVVlTGHVuLBYLent707XzZh7DA2kjq9FokCyVYZAtZUtfJ8dxIJoGrDoFjPhK14PKGcdAIK1QYTKZYDabwfM8rl69KjXauVwurK6uFqzrJGU0PWu0pQ1UJdJ3lErH3lut1qLHuFwuCIKQ9yx2dHTgW9/6VtnvzWAwshEEQcqWKsm8q50MnYvT6cTa2hpu3rxZtlqaklKn+fl5EEIkqWc6Y6BQxmPPFcV//1sPBM6EL/1wH02WFK6cM+K1N+wwG7VwuVySDKmc+lsmmQE2AJha9CCWCoKIqaJKhISIuDGYwi+8qXLZafp5L1y4IGW1O1vT/RWNjVbZxmmqTPjl77vxYGa96PkJEeHxerG2rYXZWDwIKxdgOzw8lGRbrVYrwuEwWltb0d3dDUEQ8sRF6FC0YuIi1XIYqjEDQRCEsjIlNDtVirOyRtZNhoHKp3k8HgwODip2FpTMbaBkZhjC4TCmpqYwNDQkW3+YnsNQWju6UIYhFktvXDMNLiEE9+7dw/r6uvRlz/1CCYKIP/7rXTj95nR0g9MgkrLgwRpwfzUEDQ7RZAridTfb0N7eXvL6crFZNHj/L6drEKdXXLjzKI79gBnQNoLj0veQA4cmeyM+/G9+FraG0nWT37uzjy98cwGd7Y0Yu9KB14+1w3wkU5dKpbCwsIC2traCzo2y7Wzxo4iQxNNvNuHmJXXOTa6qRDwex/z8PPR6PTY2NiQHIreuc2FhAclkUlKVEElpo5GXYTimkqRKzqFmimVuQKCeUs4MxmknEolgamoKWq0Wly9fVvQaNRmGTOgg0UAgIDuMTQ3FHIZEIoGpqSm0trZiYGAAq6ur+N73vidldhsaGvJs18yyH1/4QRScJm2XOI0evpgeP3oEvDjng54Po90aw08/da6ksyDHjUvNuHGpGYmkgJ9Me/FwOQRPWA9OkxkgEvDmmzxef7t070IoksRHPz2FcCSGgd5WjF9tx+1Ru2T/3W439vb2MDw8XPR6cxunQ6EQvvGiAw9mdxR9rqFz3Xj/r19WbZNzA2x0ovfQ0BCCwaDU+9DW1ib1oLjdbuzs7IDjOCn7kNsrctJrWyblBuZCoZAqR/q0r5F14TAIgoDZ2VnodDqcO3dOVUS02NyGXKjhOjw8xNLSEq5du1ZU+UfHK+hhKJhhSGB1dRVerxfj4+PgeR7xeBzd3d3SaPnFxUUQQiQJUgE6fOwvnIgK8pF/juMgwgx3zIwv/ZjgIHCIdz+l3mmg57px0YIbFy0IhUJ4ZeoO9kLd2HQb0NNpw8+/3g7XgQNCskmS2JTjr1/YxN9//xFACDY2I9jY3MMXv86judmOS+ea0d8axq0r/VnqVuUg90xIXzMhjt96tw3n+0pv2ncPovjy9924ccGEJ67ZodVmqEuJIpaXl9HQ0CDVbdLsA8dxkvNA6zoJIfB6vTg4OEAq1Y1SX6fcpmetggzDSRtVJWoYra2t0Gg0cDqdWT8/ODhQlAFjMBjFM/AulwuLi4u4evUq5ubmFJ9TjawqhfYRNDQ04Pbt2xVvaAqJnYRCIUxPT+P8+fNobW2V5NRbWloQCATgcrmwsbEBs9ksleJ8754PL84RcBr5aDDH80jCit2gFZ/+mg/v/xU9rJbynB29ToPXj7XidbdbsLW1hXVHEBuHJjg8BLfOBdFm0mBvL4GmpqaCZWGH3ig++qmHCIfTUukLy9tYWN7GZ7+iRWd7E851m3C+K4Wb10ZUyWdTZcJfeZcN73z9BXz/3h6mFg5x6A7INk7fuDKIf/qL+aqJcnzmq+uIxVJ44kYbrpxvzPr7h8NhbGxsYHh4GCaTCfF4HPv7+3A6nVL2wWazobe3FwMDA7LiInSmQT01TldSkqQkw3BW1sgTL0miUZO+vj709vZib28P0Wjp+QeUQnMb5OB5/mhzl8LExETRFFS6JKl0hqGQStLS0iqabvbj1q1b0sbz4OAAoihKNfNUN9rr9eL+7Aa+9koDoC3trRJRwJtucnj7E+U5C5l4PB5sbW3hibGRDKP3Zkl/2Ov1YnNzE0ajUWqc1uv1IITgv/zVEu5NreVfHxHhdnvwktuDlwD8zQ/8+MW3j+KNE5VcbwEnMhXBL78uhXY7KWmAljdD+NTXAoDGhN27wFdfdqHBEMdwnw5P3WyEZ39dkpgDHj+vmdmHaDSKw8NDGAwGmM1mWCwWXLhwAdyPNUCJdTm36VmnLR3RqIZBLDd6otRx1+v1GBsbwwsvvID3vOc90s9feOEF/NIv/ZLq92UwXq3kbq4JIVhfX4fL5cL4+LgUgVa62VKjkgSk7c3du3cxMDCA7u5u9R9ABrkMA3WArl27BovFgmQyic3NTQSDwSyRDiqH7fP58CdfWMF+pC09u6cEFm0Ev/PLnTAZK9viCIKAtbU1GI1GvOGJYbwx457H43H4fD5sbGwgmUzCZrPBbrfDarWC53ms7QTx/J8/RCIRyzuvKKTg2DuEYw/4ETh8/eUEPvib12EyqLfT1gYt3v2GPrz7DX0ghOD7dzZxb86NfU8MsWgU10c68HOvsyOZTBbdJxFC8Md/sYCl1XTGYnp+A1qdDl3tzbg+0obrQ3q4XdmZkNzsA1UmBACLxSLNm6Cb4syZBvSe2Wy2khOVC1EPGQYlDsNZWSNPNMOQGTWh3eVqDZzS4wVBgMPhACEEk5OTimo/eS6O9Ea18INcKMOg1RkwPDwsfYlcLpfscTqdDu3t7TBamuCNeTC9GkIwZgBfYPQxERL41beaceNi6dIbly+GfVccl8/LN4Xt7e3B7XbjypUreYYkU3+YECJNP1xaWkIqJeBvXkpgZ1f+M+XS1dGC191uLfh7JdtSuc2rQcfjg7/eBjEZgtPplBqQ6GKTaQAeLvrxue9EwWkep3w5XotwUntU7hUBT2zobRPwxtsBjJ7LzzzlqkrQoXE8zyPk7wKvs0KrMxdc0HIzDDpdaQNVjR4GpRk4OeiAxFJ84AMfwDPPPIPJyUk8+eST+OQnPwmHw4Hf/u3fpuf5MIBJQshbMs59GYAeQCuABo7jbgIAIeRhWRfLYJwhUqkUZmdnYTAYpCw18HjNUxKRVrOeut1uRCIRTE5OKtKUV1oOnOswbG5uSlLpOp0OsVgMa2trsmpOmbNi/sFbovjBfQ/WHALiYmE729kYwW/9XHfeHCQ5vn3Xhf52Ay4O5PdpJZNJLC8vo6WlRTYKbDAY0NHRgY6ODmk9oBOWt90avPDjA4hC6SoFrc6AX3jr+bKchUwIIXA4HOhuSuB1//gmNBoNwtEUIMazJmE3Njaiqakpa5OeEkR89NMz2HFkK+Glkkls7+5je3cfX/0Oh0abDcPrO/jltw3kOWOFhsbt7e3BYDBI2YeBgQGcO3cOq6urEEURq6urisVFcqlkbcs9TznrrNIMA3A21sgTcRho1MTtdmdFTYDyHIZSNZqxWAwPHz6E1WqFwWBQXL6k5DoKGS2T2QpBEOByuaSG2mLYLDr87Os78LOvB1KCgDuzfrw8F8SBTwNOe1RDLkTw3nc34FxvaUWG5c0APvY/7yERj0GnN6CvpxUTV9vxuttt0Ot4bG1tIRaLYXR0tOQXhZbj9PT0oKenBw8fuRCNrQAcX7Lbd+zGBbzvPReVDHMujlxJEg80NxoBGCW1C1rutbu7K02cXtzh8c37HLgCThj9jIQzY/sgDoOCjXyucUzEAhAjQYDjoNWZoNVboNVboNE+zmLlyaoeRROLbchPsjFMTWng008/DbfbjQ996EPY29vD1atX8bWvfS1TWakLwPmcl30NQKb00oOjf5+eok4GowaEw2FMT0/LRvrprKJqOQxUoWh/fz+r+bcU1BFQ6jCIooiFhQWkUimMj4+DECIpGSlZa7taTXj67ekG40gshR899GBqJYJQ3AhOowchIi51hvGet/WUdBZSgoj/+qU9HIZMwFwSnOhEu03A9YsmTFy2QRBSWF5eRl9fnyLnKTcr8uArSzAaDAhHUkWNmcFkwb/4Rzcx0KlA7lwg0Gjkz0b/hqIo4sKFC9LfxGLSAtBmTcL2+/3Y29uTGnZNZhv+5EubcLkKKzYevQn8fj/iySZFmZvcAJvX64Xb7ZacQJ/Ph56eHly8mC6V8vl80mA5g8EgiYsU66GrVtNzuetsJBJRXG59FtbIYy9JSqVSmJmZgdFoxNjYWN4fSW6SZTFKGUSfz4e5uTmMjo5Kkw6VoFQ7uqBKUjSuuryKotVoMDZiQQO3g66uLgRiBvxkxo/XXtEgHt7H1NQmGhsb0dzcLKU/M/nRw0P82RcfQjiKbiQTcayt72JtfRef/yqPpkYrLvTb8HNvuVDWl+3maCtujrYiFhfww/v7uDN9gJ09D5JZ0zQ5vPX1l/H0O2QHkmSjYEqyXB4idyI1x3FZE6fj8Tjmlg/w9/e4ghmbLMQ4fueXmtDTrqzJN+vqyOP/SCUiSCUiAA7Ba3SS8yAKqSzHSUwlcOfOHdhsNmloXO4m4CRLktQ0PAPAc889h+eee072d4SQZ2V+Nqj6ohiMMwzHcdjf38fy8nLBHjuqfKSkobfU+iiKIubm5qQp0ffu3VNsL5Svkeng2/3799Hc3IzBwUFJWWd7e7vk6+UwG7W4MQR0W8O4cKELc+tRRKIJDLTyWFhYgFarlTLkuf0FoUgKz39xH9HUY9tGeD32Q8ALD4Bv3vPAyIdwqb8J3f3qh8VyHId//POXAACH3hi+f3cPc8tueL0BiOTx36LBascHnr2BVntpdZ6ZZS8+9ddT0BsMGOpvweS1dtwYbpSyPGtrazAYDBgYGCgagNLpdJKcLC2V/szfbcLl9ir6bK8Zu4hfe9egomMzyQywiaIIp9OJra0tyZGg2QcqLhKNRuHxeLC4uJglLpLbT3nSJUmZsqpKOO1r5LE6DOFwGPfu3StaH6lWBq5YJmB3dxdbW1u4ffs2TCYTPB6PYsUIagw5Tja4LSGnkkREAft7DkSj5TX6hkIhrKysYGhoKK0+AGQ09HZL6U+Xy4X19XWYzWYpuvGV7zvw9e/OF7xoIorweP244/VjbtWH3//dJ2CzlPcYGA0avO013XjrE11YX1/H6m4MSzvA6qYHt0esGOn0YnMz3dRdSJ85kRQQSwjgS3xZZZueS/gZBoMBt6/24fqIgB9NefHKoxDcQR2gyV8EeBLFv3q6Da1NpRfh1e0Q/vZFL66eN+GpG00wGjQFnxFRSCIR9SEe8SAecYPX6MBrdNBo9LDbbZiYmMiq69RoNFJkhcrrVdoYVm7aVq0xZDAYlbG6ugqXy1W0x65a05vj8TgePnyIzs5O9Pf3g+O4qk6GpkSjUYRCIVy/fh1tbW0QBAF7e3tFB0EWgxCC7e1txONxjIykB5beHnlst/v6+hCLxaT+glQqJZXhBKJa/I+veiCgcCCE47WIw46p9RQ4zo1/UIFsaluTEb/89nP4mdd14tHCElzhRsysBBCLpfCOCS08BxsQE2nHptDf+0cPDvBXX52FSASkUknMPgph9tEmtFodOjua0NPK44nrzejrU3edtHH6uX94DaHIKL53dw/TC4c4kG2c5vDmp0bwD97UW/K8hBD8ty8sI5kSMXmtDbdGmrIyPn6/H7u7uxgZGYFer5caow8PD6HRaCTnoa2tDd3d3VniInT2FF0jq+kwlLtGKs3InQWO1WHQaDS4cuVKQWUiekylGQZRFLG4uIh4PJ43jE3puaknzKF4jX1uD4MoJJCMhxCJ5jc6AYDLH8effvUAA506vGGsCa2N2RtUt9uN7e1tjIyMFFReyE1/RiIRuFwu/I8vr2NlQ1kGpbm5Bf/7+26X7SxQBEHAysoKjEYj3vrUKN6Wsbml0YP9/X2sra3l9RcEw0n8n5+4h57rV9JD0IuSvzAp3UhrtRq8YawVbxhL91HMLh3i2y8fwB1pQJKYwZMwfv0tgEGbACH6ouedWw3gM9+MgNOY8Z2HwLfvu2HUxqG1FlegSJcjEYhCAqKQQAphRMMe7O/vw2w2S3WdyWQSbrcba2triEajiMfjcLvdquo689+7vLStWsk4BoNRGU1NTRgYGCi6eVGzjhWyZX6/H7OzsxgZGZEm/wLqpjIruQ4qQW00GtHW1oZUKoXNzc2iZbpf/t4+tpxJXD1vxGuv22E0PF6jBEHA6uoqTCZTWmyiwOczGo3S7KFUKgW/3497s3v47pw1Sx61EGIqgbfc0uD1Y5XPWAgGg1hfX8fIpYswm814+1Ppn9PeQK/Xi5WVFYiiKGVFqATp11/cwde/tyAbAEylktjZPcDOLnBneh8XhoL4l/9wpKxrbDA/bpwWRRHf+tEy5lYjcLoiiMWieM3NTjx51VCycVoQRHzsz+axub0HIK0K9RmNFh2tTbgy3IprQ3qEAwe4dOmSdJ7cxulgMCjNpTCbzdLQuIsXL4LjOEQiEbjdbszPzyMWi8FgMMDv98Nmk+/VVEK5a+SrLah2rA6D0Wgs+Uep1GFIJpOYmppCU1MTRkZG8oaxqckwCIIAnis+xTdTJUlIxpBMhAEQJFL5n2FpM4hPfz0I8Ga4VoBXloPQcQcY6ODx+ps2WHTp+vurV68qlljjOA4WiwVmsxk/80Y7vvfKLpbX3QiHggW/PIP93fi9f3oNOgWyng8X/ehqNaCjJd/IplIpLC4uoqWlRXaWhUajyZum6fF4sLu7i2CMw+e/5UM0EkaPgu+4bD19GbbB7/cjFdnF+96TdshC0RQgWhGL5jdO2+32rL/D/QU//uq7saxeCI7XIC6aoSHFMx65Dc8AoNNyeUPjLBYLmpubpfv58ssvw+PxYG1tDXq9XlFdZy7HlW5lMBiV0dzcXHKNUrtG5uJwOLC5uYlbt25JWcxyzl1qPd3a2sLe3h7GxsZw584dHB4e4vDwULa5GUhvNv/bVxxw+s0AdPjhHPCDGS/Mujgu9GjxxNUGeA830d7ermritFarRUtLC56yN8Ni8+OV+QD2/RoQ3ii7RpJUFL/yRguuXLCXPHcwlMJPZlx47c3Wo36BbDweDxwOh+wAOdobaDKZ0N3djVQqBZ/PB6fTiUgkgjsLwPTivqLPaG6w4tfeNaTo2GLQ8qbRQTPe9lR6qnMsnoIoJOD1erG8vCzr2ADpvpCP/I9p7DkPs88ppLC3f4i9/UN864dAg9WK80sbeM/bB2BryJ84TdFqtdLQuIODA2g0GthsNjQ0NKCzs1NS1aTD7BYWFtDQ0CCtkWpmh9RaVvWscOKyqrlU4jBk6jrLqRqUYww5HnLBbQmOS9/CZCIMIfm4XyEWyzaKP3jgxtdfToHjM1R6OA4pmLG6D6z+fQIkRdDZbAPRR3D1orpR8xzH4erFRlw9Uk9yumL4zst7mHrkhMcXkJqTr4724bmnRxQ5C3/59w5MbegBJKGBC/1twBPXbLh2wYpEIoGFhQX09vZmRaiKXR9tqBsYGMBXvrMJnTaAiNIPWGwOg0Lcbjd2d3dx+fJlKf3bcNQU1mAx5jk2DocDGo0GdrsdK3tafOMVDpymvK+MnMOg1+mg0WgeN04nEojFYnC5XNDpdDCZTEilUhgaGgLHcVK2YWlpCYlEomBdZy7MGDIYp4NarJEUQgiWlpakKdFyQSm1QTW5Y2mGP5FIYGxsDEC6TOiHP/whgsGgNLTUZrNJti8UTeETX3Aiksp2YDheg6hgxswWML0ZhxaN6GtL4um3pbIyD0rQaDiMX7Zj/LIdALCxF8GL9z3YcKaQ4izgeA1IKoh/9FYLzg+UViHcc8Xwnz99D7FoBH/3bQ52eyMuDbXi9bc70Ntpxv7+PjweD0ZGlM1Y0Gq1UoDNH4rhu1NL0BuMiMeiRZ+LpqYWfPA3r8OqoFogJYgFB4bSagGr1ZpVMp6+z1pJCj7XsbFYLLA0NOK/flFB4zSAUDCIaKxR0XyMQrKtW1tbsFgs0sRrmm0KhUJwu92Ynp4GAGloXENDQ8nvVjnZCVaSdMKoMVjAY+N5cHCAlZUVXLt2reAfsBxjyJd4hjhwaYUcIZH1c4/Hh6mpKdjtdvxwlsPcjrnomHkA4LRGHPqjaFbQBFWKzlYj3njLgBuDNvQP3sKPpzwIR+IYG9bg0aN5qaypubk5r/SJEIJPfGEXOx6TFDUXYcKGC9j4bhJ/8a09WHQh3BpuwaURe1nX93NvHsDPvXkA3kAcn32FVyCtKtfD8PiPkxIEfOiTD+H2hjDY14qfutGBJ641S8bx8PAQTqcTly9fLmq8Mx0bIF3nu7B6iK/fFcBrCvc3lDI2hOQv8IYcGb1cVYnp6WnodDqsrq7CbDbDZDIpquvMjWQpVVTJhTkMDEb9odVqVfX5AenM+/T0NGw2G27evFnQXlWaYcjM8F+6dEkqS/V4PDh37pxUcuL1erG9vQ2j0YgkGvDFFwlEvrhSEMdxSBEjbBb1zoIc3S1a3Br04x2T7TCY7fjRAzdGBwxIxX2YmXHIOjaUhY0A/utfPkAqmV730/bYh5/c8+En91ZgMJrQ2WrBGyb6wHHqgzWNDUa8/5nrAIC17SB+eG8PyxseBIIhZK6FnV0d+MAzV2BUIMn644cH+NzX5mAxm3B+oBWvudGOkXNWSYxmeXkZzc3NJQeJZTo2NMD2519V3jh9ZaQf73vPJUXHZpKrTOj1eqWJ07FYTFq3e3p60N/fj1QqJc2ZCoVCsNlsaGlpQXNzc1nroRxUaerVQt05DOWMLXc6nSCEYHx8vOgwtnJ6GIoFZkUhiUhoP89ZAABLgxVXr17Fl7+zk3YWFHwuszaMD/zDbpgrHDZDCJGavUZHR8HzPN7+2scRg/7+fsTjcXg8HqyuriKVSsFut6OpqQkGowUf+8td+GOFS1E4jQER0YAfLQArDgfe/6t9ZV9rk80ArZZHssSfpVjTczSWwv/x/D243enoxsLSFhaWtvCZL2rR0d6M871mXOoRMH77surSHIPBgBuXe3FlWMBL0+nGaVdAC2jUKSkRGUf1wVIMhr934MkbjejrfHy/CSGS6kVfX186LXykaX14eAij0SgN/7tw4QKAtHQwresUBAFNTU1obW2FzWaDIAiKFFVyYSVJDEb9oTbDIAgC7t69i6GhIdnS0UzU9jBkHhuJRPDw4UMMDQ1Jzc10CnDm+RsbG9HY2AhCCPzBMJ7/ohsiXzpKS8QU3jamxZM3in8GJUSjUaysrGTJpr7zqcfnpY6Nz+fDzs4O9Hq9VKZ6/1EAf/l30xBlssaUeCyKzZ0o/nzPjwbLbYzIzPVRylCfFUN9Vni9XiytbmM/aMPMkgd6nQZvu02wu7MBu92OxsbGghvhb/14F3/77UeS9PjD2SAezq5DpzOgu7MJPS0Er5/oRkdH4XlJctAA22//6lWEIiP4wSvpidMHrgAEmYnTt6+dw7P/4IKic3/uhX3suZMY7tXhp642osX+OLAZDoextrYmTZwWRRE+nw8ez//H3nnHt1Vf/f99tSxvyXvGdmI7dvYOmew9Ekqg0EKhg7ZQOujT0j4t7dP+StdTOp6WAi0dlNUCIcywwghkkR3HGY5HvLetvXXH7w9FimVJlhyHklB//skr19K9V+t7vuecz/l8AnuAtLS0kGlcXl4egiCExEU6OjpQqVTk5OSEiYucChI1bvu44IyjJI0HkiTR2dmJLMssXbo0ITO28VZPYsgeI/o9uKzdKHL0So/fHxiiue7iMs63+Xh39zBHWn24xOSoykoFmS6+sq4kIbOZN7b1cKzNysoFBcyvMYS9r5IkhSrOYw2FJSUlUVhYSGFhIZIkYbFYaG3v49mtWmR1YotbSbabOz4RXzUhHhKS+4+aMAhYbD5+8tDuqEN0kiTS0ztATy9s2Q3PvGvlrpvnUVE0/k2wRqNm9YIcVp8woDvaMsyb2/tODE7HP5+sRH5PvJKOg+1J1LW50QhWCrNk5lXqMSYNk5aWQmnpyURsZPchOMRnNptRqVSh5KGwsJCSkhJkWQ5RqhoaGoBAa3YsJY5o+E9bDCcxiY8aiVKSYs0BjMbg4CAej4dFixZhNBoTOvd4YmTwsSaTiaNHjzJr1izS0tIQRZHOzk4sFkvM5wuCgCEjje/dlkZHn4st+0209imIJEdW5SUfn744jaop8dejYYuPx14bwJiuYkltGrVTwxX6gt4PlZWVMTeLIxMbCCQYZrOZf21sYM/hgYSClk6n566b51NePPE1NMjjXzC3Fq1WyzXnlwOEnLDNZjO9vb0h5sBIOdkX3m7nne1NROvS+/1e2jv7aO+EHXWDVFeW8JUbx1/9h8Dg9BWrS7lidWBw+p0dLdQ3OegbcuF2u5lRlccVyzPw+Xxx49ATr/fR0qcDtOxuhl1NDpJUJkpzYcYUNWqpL5QsQGT3we1243Q66enpCTONmzJlCuXl5VHFRYaGhiIMX+PB4/HEFKf5OOKM6zAkCrfbzYEDBzAajQiCkBBHWzhhlJUIQkPPqkinZ5/HhtveD4oS04fBP2LRzcrQcd2FhVwHeH0Sb27roq7Fi9OfBiodpZn9rFlpwOfzxh1mffSlFrbtDDg21h9pQ6PVUVKUzaJZ+SyfY6SttYm8vLy4bcWRCEp5pqYZOM9lYt8xO2anLswVeSQURWFOuY+bLk0sWThwzEpNeVrUtqnH4zlRpYojqxp1sRP54R924HYlNgkxt6bolJKF0XA4HHjtnXxx3XSSk5PpGpL4x9tjPydah0GlCnA4BUFAIokuE3TtAkU2kJnio6a0h7XnR8oPj9a0Di6OAwMDJCUlBTilqank5OQgCAJHjhwJ+Z9A4rzOSUrSJCZx5iFRM7a2tjaGhobIzMxMuFN4KrTdrq4uurq6WLBgATqdDq/XS2tr67g8iKYUpPDpywObd5PFw8b32ug26/FIKagUL1ct8ZCdFpDgHItOcrzLxRNv2lBUKdi80L5FhPf6yckQmTstmakFEqbhgahDyGMhOJx89QXZpKcbqG8cwGQK91UYiZTUNL71uQXkGOJfo2fQTe+Ql3nVGVELhr29vVit1pCE7EiMdMIuLS3F6/ViNptpa2vD7/ez/YjC4cbEBqf1yalcd1F5Qo8dC4qi0NHRwbQiDRcuD9Df7E4/asGPxWKJqQgVxKOv9NE+FJ5QCIIKn6KnZQBaBkCQ88lqHObceWnMrjJE3MNoeq/JZAozjcvIyAiJiyiKwq5duwJF09ZWtFpthLT5WDgdsq5nC/7tCUOim/axHHDNZjNHjhxhxowZQOAHlei1x3Ofoigi+r0wQrPZ4xjC6xox2BODnyiKkYuuoigMDvQyLd/JFauno1Kp6B/2kpWREfqRe71eDAZDyJQteM+SJPObxw7T2NwVfh2/j7b2Xtrae3nuNRXZRgNzaz1csUokI218H68+Sc1FS3O5aGkuiqJQ12hj+0ELXYMCijpAq1JkmWXTfVx9XnQfjdGvNzgLobw7TIrWQ1WplvMWGCnI0eN0OmlqakJQLRpzsPzEySIOSbKAhrG/KwEIXHreTNZdfOrUqSBsNhvHjx8Pk73VauJXJJQoHQZBiP48QaXB4hLweOMH3OBiNbL7EHTM1GgCg2oej4eKigoMBgOSJIXasvF4nS6Xi5yc8bWoJzGJSXy4iJcwSJLE4cOH0Wg0LFy4kLq6unFRcccj2drV1YVGo2HRokXASarIeGcsgvB6vfR0NXP5igJycnLw+SVkWcHvC1T4u7u70Wq1oSr6yE3/7sMWNu70IahGVa9VOoYcOt6ug7f2Q3qSgQGXjQuWJK60FIQxM4lrL5rCtRdNweeX+KBumF0He+gZsIbmGQyGTP7rtjlkpsdPFhrbHTz1lgNBrePl7YMYUvzUliexYq6R1GQ1nZ2d+Hw+qqurE9qYJiUlheRkB01OLDubUGu0iH7fmDEyLd3Atz43j6yM+IPIY8VbRVFobW1FrVaHmcgFBpy1pKSkRFWESk1NJTPTwAtbfXRb4r9vikqHyeqhOC9+dX/04LTT6cThcNDV1RWi9wbFRVQqFW63m+HhYZqamvB6vSFxEYPBEPYZxN93fPxwRnYYQnSgKK2hzs5Ouru7WbhwIXq9HpvNNiGJuVgYGhoKON3qtbj8gS+Hy9aL6HWEPS7WIPPoBVOWZVpaWlCpVNTU1IS+eAU5gS98fn4++fn5SJKE1WplYGAg5F2QnJrJg8+0MTg4tseCIssMDZto6UomWT+xzbEgCMypSidF6CcpKQlNciqb95nJz5Qoy/FQV1cXGgqL5hEgShK/faobsztQ2QqoXaRysA3qWh2olEEMyQ7OXVgc4dgc9bVF6TCkpWj53++cS3e/i7d39nCocRDzCEWowOtQseay2Vy5MrEE54F/NtDcNsTUKdksn1/AwlojqhOT71arldbWVmpra8MClV+Mv5BH7TDEUFySJYkF09zccElZ1L+PhdHdh56eHjo6OtDr9djtdlJTU8fkdQYrK6mpqTidzgnxOycxiUmMD4lsQMYaevZ4PBw4cIDi4uIQpXG8NKNENvuiKNLT00NKSgpz5swJxa329vaYBcF4GyyHw8Hx48epqKgIiU7otIG4ok86KUQR9C5oaWkJVar3NavZd1wbX1hEpcHu9pGflbjkZizotGoW1KRg0KmYNm0RnYMidQ3DLJ+po6ujhS4IzQYmJydHvPY9Ryy8ssOHoA4kOIJai9Wr5YNjsOOoBY3gpDDTz8XLCk+pip2blcp3vjAvUPw7ZmbHgT7ausy4XK4wCXCjMYtvfW4u6Snxt4PN7VYe/tdBkpOTqK7IZvn8fKaVBLrQQUlWvV5PcXHxmJ91tMHpt3YO0zWcSow6WhgE0cbXbijAkDE+OtDo99Hn83H06FHS0tKoq6uLahpnsVgYGhoK+U2NFBf5T0sazsiEQaPRRGjHy7JMQ0MDfr+fxYsXh/42UU3q0Qi204KGWlq1gCyJuGw9SP5IM7ZYP+SRHYagX4HRaKSwsHDML5harSYrK4usrKyA8oLFyk//fAibzZ7Q/S+cW8mXrq+K64IcD5Ik0dDQgNFoDEmsffqyk52W4PBUUO1Cp9ORlZWF0WhEVjTc/2QPbil6G1wQBBQhBbM3hRe2Q1GlEl8jdYyh5+L8FD5zTSWSVEFd/VFa+3UcOW6nb9DG8rlGKrIs9PWpAkPdMdrQiqJw/6OHQh2ckJumVkthfja1FemUZjlYMG9GBP/Sl0AxTZGiPCjKLIssSSyu8nLdRYklCy9t7scvK5w73xjhUm2z2ejs7GTmzJlotVr8fn+oNRvsPiQnJ0fwOltbW7nvvvuw2WwkJycnNPz84IMP8qtf/Yre3l5mzpzJ7373O1atWhXz8YIgzAYeAJYAJuBPwE+URDmDk5jEfyhixTyLxcLhw4epra0lKysrdHzkrEEi5/b5IkU8RsLlcoWUkFJTU0MqhWN1+ls6HTy5yY5aJVOWJ7BsTkZoowkn/Qqqq6vjcsL1en1o/k4URd7b08++FjVCAvN/iA5uvyab4ryJU1PNZjNdXV2he65JhZryoBxrCX6/PzQ07fV6Q0O4GRkZvLfPxHsHlZgy3YJKhUQ6XTb426sOPnelwJSCUyveCILAvJos5tVkYbFYOHikjS5zGo2tZgS1wFVLNQwPdCGduLdYe5pDzWb++mwdkujH5/Ow+4CV3QeOo0vSM6Uoi9I8WFiTSUnJ+OYag4PT116UzsVuke0HTBw57sLi1oE6KWK/pBKtfO3GQjLT4icLAyYPG94ZorpMz7LZBpJHCMrIskxra2tIRnakaVxHR0fINC4jIyM0D+p2uxkaGmLjxo384he/QFEUtm7dyjnnnDMmVe7jEh+FBK9/2m7S7/fH5Uju37+f6dOnh6qbPp+Puro6cnJyKC8vD/sCeTweDh8+HNJ7joft27ezfPnyqH+TZZmjR48iyzIzZsxgx44dvNG0gPYuc8zhZkVROLLtgYjjuqRMZs5dyqwKDdn6ASqnTglbxMcDr19i2/5Bdhzoo6vHdIImNQqCisvOm8F1FyXWWVj/Vh9ajcD5i7LISAuvtni9Xo4dO0ZRUVHClBSPx4PJZKKze5gX92SAOjHue0mWGyH3ciR57MW+u/Ft+lu3hh3Lz07l59++GAgkZUePHqWgoCDC1Cd4b2azOaQIlZWVFeLwS5LML/5ykLaOONQ2QcCQmcknLqli2dyT78uxLhXrt43dRrUON9N19LWwY5+98XwaO70MWJPxyoHv+ozCYdZeUBJGR4uFp17vob5dF6L5aQQPJTmwdGY6ZXkyHR0dzJgxI6qBjSzLKIoS+i2mpKSQm5uLRqNBpVLh9/v58pe/TFJSEseOHePyyy/nJz/5SdT7ePrpp7n55pt58MEHWblyJQ8++CB///vfOXLkCFOmTIFR6aAgCBlAI/A+8P+A6cCjwI8URfn1mC96EpM4M3FaYqQsy/j9keoyI+FyuTh27Bjz588PHevq6qKzs5N58+ZFzMEdPXqU/Pz8hOLPwMAAVquVqqrozvVBOvDMmTNxu920trai0WiQZTnmhmlHnYk39ooR1X9B9pJvkJhWKFKY6WZ6ddUpy106XCLb6swcanFj9+gQNJFDtTrFxleuLyQjLT7lpaPPxatbTcyYmsw5sw2hTkcQAwMDDA4OUl1dnZBBmCzL2Gw2LBYLb+910WnLS0xuVfZx66XplBdPPMEZHh6mt7c3zGV59L3ZbDb0en2IORB83L4jQzz2fD1yjH1QECqVmqKCXL5+ywySdOM3Cx0JRVHYfaifXYesmF0pSEIygmThlotTKCnKiTs4PWDy8PALZpQT3leKLKPXeCgvUHPOzHT8rl5SU1PDPCdGQpblUJxUq9Xk5eWRk5ODWq1GEAT6+vpYt24dy5cv54MPPuBf//oXtbW1EedJID7CiBh5JsfHM7LDMLKCYrfbOXjwINXV1VHdHU+lwxCtjTQyKSktDUz5V1dX8/yeLhQ5jv6+oAqjwUCAQmN2p7LlCChyEakHHXzu6hSKcsc/UZ+kVXPBkgIuWBIY0KlrMPHGtja6+hy4XU7UGi2XrSzl/EXpcU26JEnmgWe76bcFNqgfHLOSpHIztUjNufMN5BkFjh07xtSpU8nISFwKTq/XU1RUhDopi5qBYVq6HfjkFIQY96IoCrXFPj5zVQkPvZfIFWL7MATbirFM5IL3Npo76XQ60Sen8sTrZvoHxqZ7nbhpdDot82vD1UaimHpHPjWaBJ93kOsvmEpeXh4uj0hrp4OCrHz6+/s5fvw4KSkpGI1GjEZjRCAdmSwE3wuJZNqHoP09EVn0kpVmoNtuYfUCI2mj2s2jVSUyMjLQ6XQoinJi2F+FzWbjpz/9KYsXL8bjieyuBfGb3/yG2267jdtvvx2AP/zhD7z++us89NBD/PznP4/2lE8DKcCtiqK4gUOCINQC3xQE4TcfdRVlEpP4qDBe47agSZrX62XJkiVRabyny725u7ubzs7O0HCzVqtFq9XS1dWF1WpFo9GE1qvgZu75d/uoa9NEpQopqiT6bNBnA0XSU9k2wM1XxKeORkNaioZLl+Vy6bKAOdmOukF2HbZi96WCSo+eQW6+OAOdJv7SUt9k5bn3PQjqFPoPwjsHTKTpvFSXalk5z4DLPojT6Yw6hBwLKpUqNOR7jmhDOWSld1hAUkVSlULPkT18cU0W+dnx9wxWhx+rwx+zCxF02Y5mIjfy3hRFCSlCNTYGxFXaB7W8ubUTWUlkGF5gxcKiCScLEKAApwhDfPG6anQ6HUNmDyg6fB4HLS0tSJJEZmZmqNM18n3sH/bwpxdPJgsQ6Np45RSO9cCxHh9IqeRnysytMnHOHGNkJ2PE7ENSUlKIxhv8ffj9flJSUvjTn/6EoigxqXgfp/h4RicMfX19HD9+nLlz58ZUaxlvwhCsxo78cjidTurq6pg2bRo5OTnIshwym9HrEnAjFNQRPyZl5BSvoKKqRHtKycJoyLKMTunnU5fmUVKygO5+F26vRG5mQEqzra2NlJSUkIzmyMXB45X49VPdOP0nqxWCIOBTUmjohoZuN4guCrKM+LUyi2aMn5+Xn63nM1cWA4Gqz+a9wxxs9mDz6FCd4GoqisKiSh/XXXgiOJyyrGqge9DQ0EBFRUVIAm8sjOZOvvhOG8NmR0JcxKKiAu790twIl2y/mMAMRpSEobAwj7y8PABS9BpmnlB7yM7ODsnlmUwment7Q4t6VlYWG96zcLhDN+b9qjRJWDxJbK33MrfaH5EwjEROTk6Y5KIsy2zevJnm5uZQ0hiLJuDz+di7dy/f+ta3wo5fcsklbN++PdYllwFbTiyGQbwB/AQoB1pj3uwkJvEfjmDMCxa5srKyqKmpOS1mbNEeO9IheuHChQiCgMvl4vjx4wiCQGlpKaWlpaHZgubmZiRZZvOhVEyezITosVq1xOUrTo/AgsNuw6Ad4M51lSQnJ9PW46QgqxyLxRLyJ4q10Xx/3zDvHJAR1CfjvqBS4xRT2N8K+47b0SgK5QXpJGV4KC8cf+V/ZmUGMysD62r/sIct+000dfnxyikhyXUNLr5yfS6GBAan+4c9/PlFE7JKjyBbKDDKLKhOY35NQHUpqLI0ffr0uAmOIAghme7i4mIcLg8vbjscCLZx4rRKpeXTa+eyeGZ8+d54CA64j+yG5Bj1gB7ICBX/rFZraHA6WGDziHr+utEWlixEhVpPvwNae70smxv7S6rX66mqCu9++f1+7r33XqZOnQoE3rdov7+PW3z8SFSS4kGlUtHR0RGaVxir5TceqVQ4uSAGM8fh4WEaGhqYPXt2iI85ODiI3R6YGdAmMoCjUoMc3kYO3pIii1y2WMO5CwsTvsdY8Pl8NDQ0UFhYGOq2lIww/ApWCFwuF8PDw/T09IR0mQVtOg+9YEWM5xmgSaHPBtvr7SyoyUAdy4giAaSlaLhiRS7V+c1otAoDjiR2HrZTmi1Sne+mvn44cM/MjnuuaEPPQxaRvz3fzKXLSxNKFkZDEATWXljB2gsrOHLcyuZdPTS1DmO32yOCXNmUIv77C7Ojyt75Eii8RHN6LimObUA0Ui5vypQp+P1+zGYzT73WTstQbmKJnOzlzk8YKc6LLdU7OlkA2LFjBz/84Q/ZunVrzHZtEENDQ0iSFCHjm5+fz1tvvRXraQVA16hj/SP+NpkwTGISMRCcM9izZw+VlZWhosNYjx+vVGoQoihy8OBB0tPTmTt3LrIsh4abR59z5GzBzvphLC43ihC/EJOhc3HnugKSdBPfjgT9CqZPnx7qcpSfkNIOqgeN3mgGxTs2H/Ce6IbEDvqCoEISUmnp9bF01sQLvfnZei47J4Pq48cpLjVyoNFLS7eLc2eJdLQeYyglJVT9j0bXaut18o9X7aAOFHQUlZ5eK2zcLfPKB4Okat2UZvu4/Nyp4zYtBUhL0fO9Ly7E5xfZVT/M7vp+uvsseL2esM9VpdFx23VzmVdtiHtOSZJ5cH0PTi9UFGpYMTuDkhGdkWCyEK0bMhIajSY0gBwssPUNDPPkO27QJDbvMS3fw6cuix3jkpKSqKysDLsPSZK44447mD9/Pj/84Q/HPP/HLT6ecR0GURQZGhoiNTWVBQsWxF1sTsUZOrjQdXR00Nvby8KFC9FoNPj9fnp7e8NMcRL6jUUb61dkkLx85rI0ahNwefT6Je7/ez0osHh2PqsX5oX5FrhcLhobG+NW0gVBCOnwBx2dm9sHeOItK4ImvjuxoihUF3n57NUTlyAdPTg9FThn9kkerSiKmM3mxBK+KI9RBBVd9kL+8rpCXnond3/q1O95xtRMZkwNvK+HjrSxo95CW5+PwSELRXkG1p2rx2w2RV24E1EQTE6KTHqjHYsFrVZLXl4et63NZme9hV1H7Axax3Cclrx8+VoDJfmxP/Ps7OyIZGHnzp18+9vf5uWXX46bLIzE6N9hAh2b0R+oEOP4JCbxH4NE4tng4CBut5vly5cn5JOiVqsTljkd2WEIeh2VlZWFFPyGhobo7u6Oe56ls7NZOhv6hjxsOWCmuUvEKyeHUVQVRaEsx8NtV42tqBPEO7tNbDvkJStdYu60ZJbMzER3IslQFIXu7u6EqEIjN5rBQdfnNw/SZoqkpUSDSvZw+5qskMLhRGCxWOjs7AwNTl+4FC488bfgJthisdDQ0IBarQ6pLun1eo622nn6HWdIZWk0BLUWl6zl2CA0PGNl3blJzJp2ao7TOq2GlQvyWbkgH6/Xy/s7Gmgb0NDWY8ft8XPJOUZyUhw4HJqIrs1IiJLE75/uxe4LbOgDzAYPgmwh3ygzvRiyky3U1o6dLES81hMFtsq0NP6rUGTr/iGOtHqwefQx359peR5uvnzsZKGqqiqsYC1JEl/96lcpLy/nhz/8YcL7z49LfDyjEoag+kJQ1urDkKsKLp4tLS2IohgalvZ4PPT19UUsrIl0GFQqFRH1Y0Xi8rkDpKj82O3CmCZZJquHn/1pH1arFYC2jl7Wv6YiNyeLuTV5LJ6RinU4oMYwXpnLpKQkZlaX8rkkB+8fsNDWJyOSEvVeFEVhabXE2vOLEzr3O7uHyDPomFkZOaDr9/tpaGiIOoQchEajCX3O8XKGaB2G4G9Ip3Jz+9qJd3CCCllJWj9fuGEugiDgFyVUgoDb7QopeahUAcWlrKws9Ho9USw3IuDxhnegVIIQCnbjgUatZsW8bFbMC8xqtPe42LSzn7Y+BUlIR1CpUCQvt1ykpWQMjeqgEtdI7N27l2984xu8+OKLYS7TYyE4BNbX1xd2fGBgYCzzwD4ClZKRCJZJE3MZmsQk/sOgKArHjx/HbDaTmpqasKliIspHQQQLaiO9jjIyMpAkie7uboaHE5j1GoGCHD3XXxRYmzu7Bti8Z4B+eyoOXxLlWSaWVasZGhoKG7CNhmc29XOkS4MgJDHk4ISngokMvY/ppRpKjXYy0rRUV1ePa98QdHS+5ap0DjTa2H3YTr9VFbMQo8PFV27IjxAKiYZBs4f39lpYNiczapd3aGiIvr4+ampqor72kV3mkpISvF5viFbV0CFyoDMv5mZ4JBRZZvVs4ZSThZHweDw0NTWxdEEFF5+gq8qygixLYV2b1NRUjEYjGRkZoY2/KEr87l+9OMXIPYyi0tNnhT4rKJKWjIN9XL4sk9qp6eO+x7RkDZctL+Cy5YHfTH2zlff3DmByJiOrAnufogwr118YO1nQ6XQRyYIsy9x9993k5ORw3333JfQ9+7jFxzOGkhSkBs2aNQur1fqheCsEUV9fT15eHuXl5UiSFHLJjda21SYwJCUIkW9jql7F8qWzMZvNoQHb9PR0srKyyMzMDFGiWjrt/PbRvXg94SZdiiwzMDDEpoEhNr0vkJmZTu3xHj6zZiraROTjRqGqLI2qskCAGbJ6eXfXMIeOe/AqaahUamRZYmWNi0tXJJYs/PXFbpr7khAEP7zVS06mxPzqFFbMNaDIIg0NDUyZMiWign3KiJpRCCSrnXz75uKoLtKjIUlyVEpR4PQBwxlFUUISanDSlG0kPcjn84UZ7Q3ZKoGxTYDCv1sCn7p2+WlJiI1pIosqrHzmyhmIsor39w5TlAU6wcrBg90hXufIgBw0ohmJuro6vvKVr7BhwwbKy8sTvr5Op2PhwoVs2rSJ66+/PnR806ZNXHfddbGetgP4pSAIekVRgtPUFwM9QFvCF5/EJD6GiEazFUWRQ4cOkZSUxIIFC/jggw8SPt94ZVWdTicNDQ3Mnz+fpKQk/H4/bW1tOByO+CeIglD13+Hgpquq0Wg0JyqsBbjdbkwmE42NjQiCEBqaDs5MiZLMX17so9+mj6CJCioNdp+GPS2wWzGiV3tZOXuYlfPHPwuhVqtYWGtgYa0BCFB9Nu8ZonMAJFUqgqBCL9j4/FUG0lPjb5vaep384zUbqJI41OlCjZlCo8KSmWnMrsygv78fs9kcl3YzEklJSSG/pn7nEOkDTuzepDGTBkWWuGyRmnPmJKbQ6PaIYdKjYX9zu2lqamLq1KlhyapKJaBShdODHA4HZrOZnp4eNBoNaWkZPPWuFFNqfSQEtRZR9jO1JD4jIhGkCEOsXZlCSUkJwxYvh5stVBXrOX78eGhw2mAwhIq6Wq02arJwzz33kJyczP/+7/8m7IvxcYuPH3mHIVjV7evrC5mxORyOuNJyp4LgEGlFRQVlZWVIkhRyxY0FjTp+whDtyxM0ngsO2AZbnyaTifb2dpKTk+kc0rL+zeNIYrzXqmC1OTBkTjmlZGE0jGkaZhSZWTHTSHZONlv2m8hMEyjM1NDQ0ACcrECPlugbqbIUWsDVgarPpn3w5p4hdIKd2nIjpRUTl4ILIhptSa2S+e9bi9Ek4LTc2uPkkRetqFQyxTmwbFY6c6szQsG5ubkZrVYb5k4ZCzqdLsxoz1bvRu5yo4pFD4KTsryCwK3rVnLp6ulx7zkegq7TtbW16HQ6dMBlK05WLYItbbPZHPpcy8vLKSgoCGuJHj58mC996Us888wzVFZWjvs+vvnNb3LLLbewZMkSVqxYwcMPP0xPTw9f/vKXT7xk4efAEkVRgt32p4D/AR4VBOE+oBr4LvDjSYWkSUwiHEFq0JQpUyguPlnQSdQ0KtGh52DRxOv1snr16pDu/PHjx2N2KGRZweeT0MfYZAbNvDQaTZhbcfC+k5OTKS4upri4OKwQI4oiSfp0nt+hxi3F76oLggpF9jOn6vQMThuS/Swst3HjxVV4fCr2HbMxb1oGFouJnu6OqBX0IA41W1n/ngdBnRR6rTJ6ui3w/DaJDe/3k6ZzsqAmlwoJTkVJ9tyFOZy7MAdJkqlrtLHrsI1+qzqsM6JIImtXJDGvJv58n6Io/OXFHrpNSSSpPZTnq1k2NyM01O1yuWhubmbatGlxPXmCvgojjfbWv9WLy59GIkqyKRoXX/9kYYSU7XihKAotLS3o9fqQN0S2IYnViwIxMujjETTKbW1tJTMzM4IKL8syP/jBD5BlmQceeGDcJnrx4uN///d/84tf/OLtsyE+fqQJgyzLHDlyBEVRWLx4cZjU41gyjqMRlLoa64MMdjCys7NDLdaRw83RsK/ByvaDSeiSx277RZOMk+TwzzXY+szMzERRFA41DvHsGweQoxl6jYJKreXTa+exesHEF8Pg4PRIj4WLlp6sjpeUlERU0IPqPEn6VH79VDcOX+wFQ1Bp8GPkYDsc6+zn+58tQnMKw1aRiPydGFJEWlqaQ4ZxsSo1DW12/vGaA0GdhAx0DkPneyJPv9NHVpqfYoOLxbXJlJVNGXfVX61Ws3peGqvmKuxvHGJ3g48BWwqCNjNi0REEgc/esJqLVkbXOB+NR1/uweWRmT89mcUzDWHv48hkIZYZ3ciWdmlpaWihb21txel08tprr5GXl8djjz3G008/TU1NzbheexCf/OQnGR4e5r777qO3t5dZs2bx6quvUlYWMp8rBKYF/6MoilUQhIuBPwJ7ADPwa+A3p3QDk5jExxQmk4mjR48yc+ZMDAZD6Hg0tb9YSCRhEEWR+vr6kJlj0AW+vb095nO9PomHNvRicSWRqvNSXaJl1XwDWZmB9cjv99Pc3IzRaKSgILbAQxAjCzGiKPKXF7tx+fUJbTIzdTbuuqHklH0cRiI4OB2kCun1cMHiQKwMGqoGK+jd3d1otdpQF3dPg5NNe6UwlaXRENQ6nJKO9+slNGorqxdESoEnCrVaxYJaA7MrU2lsbERRq6hrlejsl1hU7UIjSnR22sIq6KOhKAoPru9myJmCoAKfkkJjHzT2eRFkG7kZfvLTbVy8In6yEA16vZ6br6rA6xP5oN7CgSYnZocOQRMZt1I1Lr5xY2FCRcDufgdPvtJCZZmRFfPzwuRnoyUL0TBynkWj0ZCfn4/dbmf//v309PSwd+9enE4nHo+Hv/71r6fkuB0vPp4wPDwr4uO/3bgtaEzj9Xo5cOAA+fn5EVXdwcFBTCYT06cnVoXdtWsXCxYsiLlYdHZ20t3dzbx58+ju7mZgYACNRkNycnLM57y6dYAthwS0yZkk6cfO0I/XrcdtDzf90idp+dv9t475PJdH4r09/ew62EdP33DU5EGr03PXZxYyI4HBaVGS+NuLvWRnajh3kZGczPAfpNvt5tixYwlLkEJgyMdqtdLVO8wz72uQ1YnxIFO1Tr716eKE9Jgf3DwbWRn7h9hx+BWGuvaGHZs2xcg3bl2EyWTCYrGEWtojOyMHjll5+h33mAs4BChgKVoPX/9kQUL81Hjo6HHy2o4Bht3ZSOoshrv2smy6i0tW1ZCRkRFXseLPz/fQNjji85NFMlN81JRpmVepxTzYOWayMBoGgyFslkSWZZ588kkeeOABJEmivLycL3zhC3ziE584pdcbB6d/GGkSkzizcNrNTTs6Oujp6WHevHkRssa7d+9m7ty5cc2rIKBn39nZyaxZs6L+3ePxcODAAUpLS8nPz2fbtm1otVp8Pl/MAdYhi5c/vzCIn/Dqv6LI6AQPU/KgJNPM3BklE6KlWmw+tuw309DhxenTRzgjK7JMeY6LW68uTSh52nvUwvaDDmZO1bN8jgF90snzKYpCT08PdrudqqqqhFWFgnKyb++x0DyYG9N7KPy+Ra5aqmPRTENC1xgLXq+XpqYmSkpKwpJKCCSCNpsNs9mM0+mM6IyIksQDz/Ri9cbv4iiSnxlTFG64OH7yF/dcisLOui72Nrgwu1IQhWT0go1PXZhEbk4ks2E0uvsd/PYf+/F5TxaWU9PSmFaazaLZeaSph+ImCyMR7ICNjKf9/f1873vfY/fu3aSmprJq1SruvffehJLfU8BZESM/kg6D1Wrl0KFDTJ8+PaqTsEajGdcMQ3CQefTmX1EUGhoa8Pl8LFq0CAjIWTkcjlALSq1Wh+g3SUlJKIrCX1/soaU/CUElxODOh0MVpcMgy/Gfl6JXc/nKIi5fWYQkSWzb18+7uzrpH3Li83pISU3jliuLKM5S4nZQnG6RXz/Vi0dKoW0I9jTb0akGqChQce5CAznpMi0tLVRVVY2rShB8f3T6DBYPDnPouAO7V48qhqU9QHaKk2/cVBJzXmAk+oY8ibzFUYeeVaqTilClpaURnZFuSypbGzLiJgsACALzqnSnJVnwer2YBpq46eKA+Z3H66V/eCqGVDlESUtKSgrxdUdv+v+0oYf2oVGJgEqD1aNh5zH4oEEhSZ3D/s5hVs9LY1rp2ElcZmZmxOB5R0cHf/zjH3n00UdZuHAhra2tDA0NTfi1T2ISk5gYZFnm8OHDSJLE4sWLJ2zGNtZjLRYLhw8fpra2lszMTGRZprS0lKamJsxmMy6Xi/T09NAmU6VS0dLp4IlNdlBFbjIFQYWfFFoGoLk/ma2NLm65TEfZKfgVABgydFx9bj5XAx6fyFvbuzna7g94CQlqyrMGuGxJDj6fL27xZNMHQ2w7AoIqhS2H4f16c6gzsmKeAYelF0mSwqhTiSAoJ3v+UgOa/WaO90r4RilCjYQi+fjkBanUVsQf6FUUhbomG7OmpUXt1AeHkMvKyqIarWo0mtD+ZvRsAajZuDcFj5LYYLFO7eeKFadns9zf349B7+TL1wcSs2GrF70uDYfNSkdHBz6fL/S9S09PD/s8oiULAE6Hg4NHHRw82o5Go6WoMIs50zWcuziPJE3sz1Oj0VBVVRX2/VEUhSeeeAJZlmloaECWZbZs2TJu0ZmPG/7tCYPVauXw4cPMmzcv5sZ1vGZs0dwpRVGkrq4Og8HA9OnTkSQJl8tFf38/SUlJYWYzJpOJ5uZmPF6R1/en45ROms0k0oGJtjDI46SaeTweMrQD3H1LLRkZGRxusVKSn4LsdzA0NERra2uoOmA0GsOCyIDJw++fHUIWTn6ZBUHAr6TQ2AuNr3hQRBdFWVlIOpEFteM3ZEtL0bDmvHzWnBdQO9h+0MLuIw6GbNqw1mKxwcEd60oTWnCD1f+i6cQ394niMqka9aSRLW2v18/Gp7pJJHFXZJnz5sCly2OqFiSMoJHcSKdsfZKasqLAohzs7ATdNJubm5EkKSSX9+QmOx2jk4VREAQBn5xMQ6eTFbPH/p5lZGRE6LR3dnZy00038cgjj4RUwioqKqioqDil1zyJSUzi9OHQoUOkpqZSXl5+2szYogl69Pb20tbWFhpuFkWRtrY27HZ7mOyozWbDYrHQ0dFB60AS+9uNIX7+mFAUFlRrTzlZCD+VwkBfD9OLfVy+aioqlYr+YS+GtAwsFktogDW4jqakhCsBPr2pj6Nd2kAR8AQElRqXmMKBNtjfakejqCkv1JGU6gnzBUgUxXnJ3HhpoDJud/rZcsDM4ePuE52RE4Uoycutl6ZRURJ/ky5KEg8824vVk8ILW4dJT/JRW6Zj5TwjGWna0FzB6CHkWBg9W7CjbhC/7EFBRojD+0pSufj6DQUxB6LHg97eXmw2W1hiln2CDZGarA/NBtrtdsxmc2jm02Aw4PRpeeCJeny+sSnrouino7MfjSaZi8+JneSo1WqqqqrCOniKovDAAw+wf/9+nn766VAh+sILL4x1mv8Y/NsThoyMDJYsWTIm13C8CcPoxwflWcvLy8nLywvRaoaHhyMSAL1eT1FREUVFRTy7qQeHTwi3VUjADj2a0YuSQIchiKBU2vTp00OtuJnTgpShQIIQrA6YTKYQbzIrKwuzS8/jb7pANXYLT9Ck0GuD3UftLKidmLyaRqNm1fwsyrIdeDx2fKo0th20kqQRWV7j4+DBg2RkZJCVlRWqSo3G9joTL+/wJ1b9J3riNnLxH42kJC3f/2w5Xp/E1gNm9jU4MTm1EYFOkWUuXiiEOKrx8Mwb7ew/0s+MyhwuWFJI8Qifg2CyMG3atNCiHAvJyckkJyeHHCstFgv/2NhHjy0xNQtJdPLZKzKpLo9NLUtPT4+Qbuvp6eHGG2/kj3/8I0uXLk3oWoni/fffZ//+/axatYoFCxac1nNPYhL/KYhFHRqJiXQYgiIPNpuNRYsWIQgCHo+H48ePh3kQASGHeYPBgMPl582DvQlUdwL0lavOSTotlJvg4LRWqw1TsAv6IIw0ZLNYLPT09OB2u8nIyMBgMPD0Ow76Rop0REHQkO14r5fV8yd8y6SnarlgYQalGf0Ul2RyrEPmYLODFTMUnJZ2jtrVobmH0XQzAI9X5A/P9uE6IUEqqDQ4/Bp2N8OuJis6wUNWsoOLlpYmLK87Gsvm5rJsLlgdfrbsG+ZouxenLzmC9pWicfG1GxIz1usb9vDXl00kaWQqizUsm5NJfvbJGNnT04PD4aCqqmrMomLQc2KkGW171yB/fb4dvz8xieCpFWXcddO0mJ97rGThz3/+M1u3buW5554bU+r3VHC2x8h/+wyDoihxNaE9Hg+HDx8OVT/j4fDhwxQXF2MwGMKGxNLT05FlmcHBQWw2W0LnkiSZPUesfHDYQb9ZjUqXSXLa2JvJrobXsQ41hR1TCwKP//7zHGy08M+Nx5g2JYsLlxZSURL+4+7v7w8bsEoUHo+H7ft7efNAMqoENt2KojC3ws+Nl0zcr0CWA/QmjUYTtQoWrEqZTCZsNhspKSlkZWWFTM/e/GCQdw+c7MwUVp4Xt8LRVv88pp6DYcdmVObyrS+sSPi+fT4fb7zXQNtwGn0WLZKiY15JP8vmZIZan2N1Xp56tZV3tzWEHUtJTWNaWQ5LZhrR00dlZeUpL+A+v8z2egv7jtoZsmpQ1ElR70fyO7nt8kxqp46dLIzmWvb19bFu3Tp+/etfc/7555/SPcaCy+Xij3/8I++99x5vvfUWy5Yt47HHHgv6OZwV/MxJTGICOG0xUhTFuMnA0aNHycvLi5BHjgZJktizZw9Lly5FkiTq6+vR6/VUV1cjyzIOhyOkTJQI3B6RbXUW6lvcWN26iKKPIHv5zKUZlBfH7yx4fRIPb+jD7YOphWqWz0mnJP/k80RRpKmpKeHB6SCCjtR/fcWMUzIk9Bw1bu64NidU7Z4InE4nLS0tMav/Xq8Xs9mMxWJBFEUyMwMxKDU1FYdL5A/P9kfMh8RCscHNF9YmJoceD319g2yvG6THksKQQ4de7eGqJT5yswOFy7FmZroHPPz1FQuK6uRjFEVBK3gpzoGpuR4KjCKVlZWnNDwM0NZtZ+v+fo61DmOz2mMyQMrLp/C1T1WhiUGLVqlUVFVVhVGMFEXh73//Oxs3buT555+PmshNBB+HGHlGJgyiKLJ3796EK6ANDQ3k5ubidrvp6uoKDYOJokh/fz8ul+uU7/flLQMc7Ckb8zFdjZuwDoRvJAVB4LOfuoJnNh5EGdEOTk5JZVp5LqsXFpCVbMPtdo9rwGokREnig3oru484GLBqYraJFVnmvLlw6bKxvQKC+OCgmYIcHeVFkQu+JEk0NjaSnp5OcXF8h85gdWB4eBiLxcKuRjUtw/lhzyusPD/uedoObsDUWx92bFZ1Ht/83PKEXpPX66WhoYGysrLQYJjPL6FWBTo8ZrMZh8MRk/b12EstbNnZOOY1NFodxYXZrF5UzOqFib3XY6Gh3cl7ewbp6AdJSEWlViH6nVy/WsOiWYUx37O0tDQKC8MTw8HBQT7xiU/w85//nEsuuWTC9xYNFosFrVbLlVdeCcDf/vY3pk6dCmfJYjiJSUwA/9aEoampiczMzAi6YdQbUxR27NjBggULOHDgACUlJRQXFyOKIiaTia6uroSot9Hg9nh5/f0W2oeSsbiT0QheLppjo6TAGJUaNBJmm5+Hnx/Ap4yQAlUUNIKXkhxYWK0Dby8lJac+OO1wi2w7YObQcTd2T1LMjnay2sVXr0+McmO2+dh2wMyyuYaoyUVQXaqysjLu8C4QkvY0m830Dzt5+1A2ijqxZCFd5+JrNySmKhQPQW+IkfsRRVHCkpsg7ctgMIQNxHf0ufn7q1ZQxRnCl31kp4usOz+LgpyJzQPYnT627R9gz6Eehs0uRL8PQRAoKS7iq5+aRnKMDX+0ZAHg8ccfZ/369bz00ksJfW6ngrM9Rn7kPgzREItzGQsqlYr29nZUKlVouNnr9dLb23vKfg5BTer89PhvUVRKkqLw9Mt1jI4jbpeTQ0ecHDrShkaro6wklwv8FpbMHr+0mkatZuW8LFbOCww0HWmxs6XOSke/gqIOLNSy5OfSBSKrFyXWWXjitR4Od+gQBA/IFkqyZc6ZlcH8moAUbTA5G8OlMAyCcHIwOS+/mHePdCHIXlCPL3uPOvSc4BxGtLkCIKTzPNpwJkj70mg0GI1GNm6zsetAa9zriH4fXT1DZKSdnlmA4iyZpdMs3HplDS6fivf2minIBIPeSV1dXSi5CXZuIHqyMDw8zPXXX89PfvKTDy1ZCAYSu93Onj17uP/++0fKqiIIwlxgOdCiKMqbH8pNTGIS/yEYDyVJEAQkSWLv3r3U1NRgMBgQRZG+vj76+0/dONblctHS0sL5S0pD1BFZVlAUOYIalJWVFdbBbetx89jrVpRRVFpBEJDQ0z4E7UMgyLnkN7m47oJkcgzjr/imJWu4dFkuly4LFNj2HLay64gNk0OHoAmcL11j4/a1uQklC90D7hNV9CT2tNjRCUNMyRdYOSeT8uJUTCYTPT09EYo7Y2GktKdNtJCmt2Hz+OK6OGenuLjjuqKExEXGMi2Fk3MFo4uXgiCEhrqDvgUWiyXk6Jyeno7Tl8pz2+T4yQIEHiN7wmhKp4q0FC3Ti/3MmFJASUkJBxpMNLbZWDknidbjx5FlOSK5UalUVFZWRiQLTz/9NP/85z/ZuHHjh5YsfBxi5Bnj9Dz6MYlWPIJdhLS0NObMmYMkSbjdbvr7+2MuqLKsoBqD/y5JEseOHSM9PZ2qaSVsOjb2PaiEWNn92K9B9Pvo6B4mPa187AskAEEQqC5LRna384lV+fiUVDbvNTOzTIUxVQy1oYOKCdEUpR56rpsuU/JJzp9KT5cZ1m8ReXZzH6laB3OnpVNVfWp+EPokNV+/MfADOdZuZ8t+K239CSaG0WYYTtznnzd00TagIt8gsbAmlXNmZ4YUJYJSsonMFYwcCisrK8Pj8fDcpuPs3N+WmN65RsedNy9iTlVikrVjwW6309LSQk1NDXq9Hr0erj0/3JRtpOKFWq2muLg4IlmwWCxcf/31fP/73+eKK66Y8H3FQvD3+utf/5rCwkJWrFgRCjxCgG82G7gQ+LYgCDnAxYqi7PzQbmgSkzhLcTrN2CBARXS73axYsQK9Xo8oinR0dGC1WmM+J57Hg8ViobOzk2nTpoU2X4IgoFYLgCrMsNRmszE0NERbWxupqan0mFN5+6CAkMAGU0ZDksZ3WmhCGrWayiKZNFWAQ3+820tLt4sl01Po6e7C5/OFqEHRPAuOtdn559vOEYZsKvwk09IPLZu8IFnI1LtYOa8oIbnbaFhQY2BBjQFJktl/zMaeIzb6rZqIAluRwc0X1sTv8AO0djl47A0HapVESS4snZFOTcXJ5K2rqyvEdIhHFdJoNGGfrclk5cmXHKBKbLA9N9XGHevim6PGg6IotLW1oVKpKC0NSOoumJHDghnBvUlxRHKTkZERVaJ4w4YNISrSqfhMjOee4eyOkf92ShIEuOTxrrt9+3aWLx+bbhJ0wAxWWgsKCrDb7QwODsY8/5DFzwPrB5BkgdJcheWz0phZmRH6Anu9Xo4dO0ZhYWGA5uSF37wwdsbZ17qV4e79EcdTM8bmFaampXPP7Ysoypk4Vy5YRS8vL4/QYobAl9XtdmMymTCbzahUqpBngUar5bdP9WB2J9YiVOPm3tsKE/JYiAe3281fP1gCjL1QHT/wLJb+I2HH5s8oQEkqps86SgtcEslI8TK9VE1B6gBzZ1VPaCFo7bbzzs4+jrYMYrXYiPZz0Gh13HXLYmZOS2yg/Ll3+kjVq1m9wEjKqMqWw+Ggubk5lCwkArVajVarZXh4GI/HQ11dHdnZ2Tz00EN885vfDLOl/zBRVlbGunXr+H//7/+Rmpoa3HgIgiBogSzgJuCXwApFUfb8W25qEpP48HHaYqQkSXHnCbq6uhBFkfLy8tg3pCgcP34ci8WCx+PhnHPOwev10traitvtjvm817d28ebWZnKzM5lTk8fqBfmkp55co/r7+xkaGqK6unpcc3cBw9Jhnts6trFZ6PGSyIJKkWvOLUr4GmOht7cXq9VKZWVlVNGVoDhK0LMgLS0tJCe7v8HOKzt9UU1aI+5bUVhcJXHlyvh0sUTO1d3dTWuXg7bhNNoHICfVxYpaLxkZGXFn7xra7PzrbWdkt0LykZ0hUpbjpbpEobpy2ilv4hVFoaHdyc6DFroGQRT0UZUj89NsfOm6xJKFrj4Xr+0wM7syhUUzMsIkZUcmC1OmJGa2KggCubm5IXq0KIps27aNvLw8nnrqKTZu3Bh13/Rh4GyOkWdtwmA2mzly5AgzZszA6XTS09MT2hTGmgdo6nDz99fMIIRXKwTFS6FRZs5UFamqfqoqp4WoK5IMv3h27IShv30HQ52Rn2tGVjmSGJ0SlZOTzfe+tJD0lPibbpvDz8tbBlk2O5OpJZEb3+AGczwDt0FeYm/fEM9/kIKoSqwqrsbN1z+ZG2EKdyoI3vdW82eIR+E7fuAZLP1Hw46lZxhIzZk95vMUWSZJ42HZDD2XLp/4XIHV4eWNbV3sP9yPyeJElkTUGh23XFPJolkFCbWh//piNy39+tD96TUeqkrUrJ5vxJAqjTtZSE1NpbDw5EyDJEm8+OKL/Pa3v2VwcJDly5dz3XXXfWhJgyRJqNVqXnzxRW677TbWr18/WoIu9OEKgvAe0A98RlEUjyAIKkVRZEEQ9MBUoElRlFPjEU5iEh8d/q0JQ19fH06nk2nTpkX9uyRJHDp0CJ1OR3V1NTt37iQtLQ2HwxGz+q0oCv94sYl99e1hxwVBICvLwMyqXKqKFFJ0fqZOnXpKc3cQmCvYut/MoeMeHB4dgiYyeZBFH5cu0rB8XmLd7Dd2DOLySqyeZyTbMEoJT1Fob29HFEWmTp2a0MCtoighWc9t9Q4aB/ITM2RTZJZUyVxxmpKF9vZ2ZFmmoqIibGMsSVLIkM3hcJCSkoLRaCQzMzOUDNU1Wnl+iycB01KRNJ2Pz16VG/HenQoGTB5e39JJt0mDV05FUGvI0g1wyxUFMVUTR6Kjz8XfN9rgRJKjSCIZeh/Ty3SsmGvAMtwDEGH4GwuCIEQwDAYGBvjpT3/Kxo0byc/P5/LLL+f222//0KTFPy4x8oycYYiH7u5uOjo6QvrRer0+1CK1WCwkJyeTnZ0dNrj6/gELr33gRVBF/iAUIYkeC/TsA+RCchosfOFqHRnpegK0P4WxNrRCDErSb767ikMtDt79oJP2bhM+r+fEUE4uX15XTkoCv83uATcPbjChqPQc7gzMFRRnKyybnc786RlYrVba2trGtcEESEpKoqCgAJ+SQV7WMD3DblCPnRjpVC6+9elC0pLjf21EUUKtVsX8QdtsNo4fP05NTQ1bd8S/32gJpl9KZL5EhU9UM7vq1JSLRkOl+KjOt3PNuQtQa7TsPmQmI1UgK9Ub4akQra39lxe6OT5w8nMSVCq8cgqHOqC+3YkguSjKNiLpvCyoja6SNBIpKSlhyQIEuk1/+9vf+NrXvsZnPvMZ6uvrOXYsDq9uAgj+xn73u99x3nnnMXPmTCCS1iAIQg2wCrhKURTPiccEOWkrgduB6YIgHAa+ryhK24d205OYxBmKiVKSvF4vBw4coLCwkNLSUkRRpKKigrq6OoaHh/H5fKE1Ksjt9vpEfv/EITq7ByPOpygKw8Nm3h828z6QkZHOysUZXHaKvjVpyRouW57LZcvB55P44JCZXYctOLypCJokZL+LS+b7mFddEJcaBfD4xh5aBpIQBDV1rYG5grICFSvnZlCan0xLSwt6vT7hDSYEPoOMjAwyMjLoNJsYdDgwO3VjzhUossQF81SsXpBYsmB1+MmMYRQalJLV6XRR71utVofEORRFwel0BgqAvb1oNBq6zClsPapP0LRUTWm+5rQkC4qi4LT2cu48HVOmTMHrlzjSYmdqYUHIy0Ov14dm70Z3qEYnC4Hb02D3a9jTDLubbGgUFeWFGiSNk2klY8d1QRCYOnVqBB25vr6euro66urq0Ov1vPXWW3HFeCaCj0uM/EgShkRmFARBiHA3VhSFpqYmnE5nSD/a5/OFfiTl5eVhqjxBv4I9Lakc7UlNqJ0oyQpTCwQy0hPffEcbeoaACk9pto8rz9FQU7Oapg4XzR02zl2Qgdlspr6+a8y5gsMtNp5404kwkr+o0tNthvXvizz7bi9pWifL5hShiVKlSQRTClO464YAped4l5PN+y209kiIhKtbpOmcfOvTxaFB4bFgtfv59T/78EsastNF5lcns3KeMURhMplMdHZ2MmPGjMS5nlG/LwlUF2QPX78hm7ysidO+RiY5weRsZAVspKdCsAKYlpZGVlYWmZmZ/P3lvrBkIeJeBQE0qfRYYf37HvRJwpgUp5SUFIqKisI+J7fbzac+9Sluuukmbr31VgDmzJnDnDlzJvryIyBJEk8++STp6elMnTqVvXv38uCDD4bkD4P3FayQAF8DDgEfRDldC7AeKAP+FzgA/Oq03/QkJvExQKyEwWazUV9fz/Tp0zEajYiiyMDAAL29vSHueVCVJ8jtRpXCM28NYbPbE7u4Ssf86aemWjQagiCTndTPZy7NJTc3l7pjNnIMGSSpvXR1deH1emPOFYiSxMMbehl2nvRYCM4VNPdBc58XRDO5mRpWzcug5BTvcaSwSF2jjZ2H7fSZhbACmyL5uWZFEgtqDAmd88X3+tl/XI1K8VFoVFhUm8q86ZmhAfWWlhZSU1MpLo4vlyoIAmlpaaSlpVFaWsqQycH67RaIOVt5EoqiMLfcz7XnT9zBOUiB02q1obkCvU7DgtrAdyU4GB80LW1sbAwdNxqNDFgU/vGaPSxZiHytKiQhjZZ+MNksfPWG1DGTwNFCJxDwQvjxj3/MK6+8Qm5ugHVw7bXXTvTlR8XHLUaesR2G4IIYTBhEMTC4m5qayty5c5FlOTTcPLJ9O1KVZ8qUKWzc0s+RbtWYQ85BiKKLa1foWTZ3fF4FsToMzS2tpKdoqK2tRa1WUzs1g9qpgS9vRkYGU6ZMCc0VHDlyJFQ1yM7OZvdRBxs/EMesaAjqJJxyEpv2KwxaBvjkBD0WppakMrUkld7eXlo7++i0ZHGsw49e6+eSuU6aGu2h5CYW9aZ/2MPvnx1GUaUgqMHk0vH2AXhr3zBpSR7K8ySm5tpZvGDmmOZ9o6EQORydnaGQpHbg9OujJoMqxc03P5VHVkb8pESSZB5+tpGsTD0XLi4gb9RcSTBZqK2tHZN2NHooLKi69OgrfQx5EqvIKbLI9efpx0wWgqZvIxdLr9fLzTffzNq1a/nCF76Q0LXGg9GmM4Ig0NbWxo9+9KPQPUVTzzrRTk0GPgX8WFEUU5THtAKtgiDcDDiAJ0/7C5jEJD4miJYw9Pf309LSwty5c0lOTkaSJDo7OzGbzWGPG6nK4/H4+Omf92G12RKqvhcVlfC1T1eToj8982vNzc2UlpaG+OPzak5SY3Nzc0NzBQMDA7S2toYKMNqkVP64vh+3FGfuTpPCoBNe2OqkKFc/oSq6IAjMm57JzKkpNDY24hMEDrUqdA1KLJvhRuPz0tZmwWAwjEm9+efrvRzr1QUKp4KeHiu89IHMi9v6yUoVKci0s3y2keLiU9vE52Slce/n0ujqc7HlgJnjfTJ+OTmCUqUoMourZK5cmdh1dh2ysKXOQVWJlhXzMsnODDc8a2lpISkpiZKSkpjfJUEQSElJISUlheLiYvx+PxaLhX2HOnjrYCaCJrHPx6B38ZV1ReNOFrZt28b3vvc9XnnllXH5eiSCaKZsH7cY+ZHMMPj9/riyqXv37mXmzJno9frQcHNZWRn5+fmhjdjAwEBCakpDVh/v7TVxpNWH05eESh25uVT8Nj53VRZVZZFc/p8+owcl9hfT1HuQ3pb3Io5/9ZalnLN4VsJtUK/Xi8lk4tXtJpoH8xLkTCosmy5xzXmn1h4efa7Ozk5cLleYbXsQHo8nNDQtSVIouUlOTg78MHqc/PklK0ShfY2+jk7l5rrzMplTlcED784hXregee+T2Iaaw46tWDiFz1+/AJ9f4o1tXRxs9uLwpyGokxAkBzdfCFOKc8bUAodAsnDfnw7Q1X1SYjAtPZ3qilzOXVxIUZZMe3s7NTU1CUvljX69H9Sb2XXYTr8lUvEi7LGyyLrVehbOiD1TEkwWRn4+Pp+Pz3zmM5x//vl84xvfmLAKxWjEMZ3hqaee4pe//CX19fXcc889/OAHPxg5aC4IgnA7gUGuJYqiNEe7xgmO5htAn6IonzytL2ASk/hw8W/1KnI4HKHkICgBbjKZmDNnDmq1Gp/PR2tra0IeRJIks+/oMDsPDtDWZcLrcUdZPwRm1lbyhU+UoU6g+NbU4eDNnRZmTU1m2RxDRGfabrfT2trKtGnTEhakkGUZu91OW9cwL+7QoGgSo5nqcHHX9fmkp07ctdfr9dLU1ERJSUnEkGzw/sxmc8iwNCjrqdFoUBSFv77YQ7clvmynIkvkpHr5yg2JKSHFg8Xm4ZV32+i26HGLKSCoqCkY5qIl2WGy3LGwvc7Cm3vF0J5EUWSSVF5K81QsnZGG4O9Hr9dTUnJqfRyXR2T7AVPADNCTNGahNFPv4qvXjy0nW1FREfH57Nq1i2984xu8/PLLobh1uhAvPsLHI0aesQnDgQMHqKqqwu/3c/jwYWbMmEFGRsYJKS9TRNUkUTjcIm9/MMiBJiduKS3gkuwd4sYL1FRMyY/KO//5s3pkOfaP1mNtoaX+1Yjj//ONq5g+bfxZ7Du7h9h71IXJqY3Lmbx8iZrVCxLzcDDbfBhjVNuD7UQIZObxFilRFDGbzSFVHpMrlU11aXG1o4PISXPx9U8Wo1arEkwYnsA21BJ2bNWiKXx23QIGBgYYGBigtrYWlUrFwWYb5QVJ+Dx2TCZTmBb46MqPKEn8vwf309sXyd0NQqNNoqwkm3PmFbFiXhbaCZrktHQ6eG+/hdZeCZGTLVVFlrh2lYYlM7NiPlev11NcXBz2Gvx+P5/73OdYsmQJ99xzz2lPFoIYw3QmhD179lBXV8fnP/95Nm3aRHNzM3feeWcOsAnYDXxFUZSoE52CICwBdgDnKoqy9UN5EZOYxIeDf2vC4PF4OHz4MPPnz+fQoUNoNBqmT58eouQeP348Yefm0dc+3GJh8wedtPfa8LjdqFRq5s0o4qpV2VF556PxwUETr+8RQ11fRRZJT/Ixs0LHyvlZeF1Went7qaqqOqUCjM3hZ/NeE0c7fLj9+piUYAgYm911fWFCVFqHS8TjE2P6PbhcLpqbm6moqIgr0R38HIKGZ4JKzab9yVj9ianoKZKPmy5MZXr52NdJBEG37JycHHJzcxFFiZ5BD9kZhO4vyG4wGAwRs5Dv7zfxzn55zAKmIHnINyrMr05myazY8SsRKIrCgWNWdh220WdWoaiTQzEtXevk6zcWj5kslJeXRxj97du3j6985Su8+OKLYyqLTQSJxEc4u2PkRzbDEA8ajYa+vj4GBgZCw82SJDEwMIDD4Tjla8t+F2XGfi64aRo6fQo7680snlGO02EP8c4zMjLIzs4mIyMgtxrvdn1i9Ad4fONfsAEuWJzDBYsDlZ89R6x8cNhOnzncyVmRfNx4YQpzqxNTN1r/Vh97WzQIio/ibJlzZqazoDYjNCvS1NREcnJyiHsYDxqNhtzcAO/U7fHzy8d7QJVYBacky80d18VuW0ZDtMRWpRbo6+tjeHg4RPsCmBv0QUjXk5ubG9ICN5lMtLW1kZycTFZWFmnpGdz3pzoGBobHvLbo99LS2kNnj5nK0qWU5E/M2GVaaRoFWQJNTU3kFRnZddjF4VYv8yp86PxOGhoGQpK3I4NztGRBFEW++MUvMm/evA81WYhnOlNXV8f27duZNm0an//854FA1+Nb3/oWQDegA/4U5zKfBQ5PJguTmMTYUKvV+P1+du/eTUFBAVOmTAnNJnR0dIzL+HQkFEUhTWPlsnNSmDp1Fq3dDmxOmZqyJEwmE42NjSFJbqPRGLHhf/n9fva2qMMoooJKg8OvYWcjfNBgQSs4qCnLprAETiFfICNNyzXn5nMN4PGKbD1gCVSm3bqwId/8NCdfSjDODJg8/OlFExI6tMIwZSPM2OBkRySa6Vc0jKRGl5SU8N6efiweOZGxApB9fPaKdMoKJ+4JIIoix44dIz8/n5ycwLydRqNmyolzB+8vqJrY1taGKIqhuZGdR71sqVfish0UtZ5ei0xml2vCCUOQ+pWVbEWW/WiTs9haZ8Zk83P+bA9HjhwOScqmpaWFxcNoycLBgwe58847ee655z60ZGE88fGSSy4JGQyfbTHyI+kwiKI4pumMoih88MEHCILAwoULEQQBv99PX18fXq/3lK87NDREd3f3mNSSkUYzDoeD1NRUNtTNQpRi/2Ac5nbaD78Udiwn28gvvns1KfpTM3AZCY/Hw7Fjx/AouexvkekzS1wyz0eKxhlVEWo0/vpiN819kYo7iuQjO91PicHOirlGSksnpnfdM+jm3T1mmrpEvFI0zqRCdZGXz14dPsiVSIehafdj2E3hbstLZ+exeoGR6urqhCX+gpWfnt5B/rShC6s1sUG/JH0y3/3SUkryJu4C6XK5aGxsZPr06RGukoqihKhfJlOAxhj0GKmqqgprHUuSxJ133klZWRk/+clPPrRkAQK/WY1Gw49+9COefPJJNmzYwOzZAUlbWZZ56qmneOGFF9i3bx9DQ0Ns2rSJpUuXAiAIwgXA3cBVwIvAN0/wMUMQBKEEOEhA+eGhD+2FTGISHw5Oa4yMF+esVis7d+5kwYIFGI1GZFkODTefKkRRpLm5mfT09Ij5qNH3ZjabMZvNITddo9HI02+baR/SJ7QOKbLIZYs0nDNnYpvLIPr6+hgaMmET89jf5CE1SeScak/Y5jeoCDUabd1O/vGGPapTsSB7yMvwU2K0c9GKynEpEUZDQ5udHQetdA2BJCRH3I8ge/jiNVkUJODNpCgK/9jYg82pMGeanmVzDCTpTsYHv9/PsWPHKC4ujthEj4Vg4vnOLhOH+4wEPMXi3IssM6PEww2XnOpo+YhzKUoo6S0vL494j6JJyhoMBubOnUteXrhC1ZEjR/jc5z7HM888Q01NzYTvLRYmEh/h7ImRZ1zCIEkS9fX1uN1upk6demIwy0Nvb++YScazb/Vic8qcv9AQ4VWgKApdXV3Y7XamT58+rs2l3W7nT5uM+MTYG3+npZO2Qy+E/l89tYQffO2ShCzb48HpdNLU1BTVqXikIpTZbA4Ns2VlZaHT6ZAkmQee7abfFr8iosgiBQYfX/vk+Cr/sWC1+3j+rRY6hpNw+VMRVGrKMvu5epWBrKyssI1yIglD4+5/4DC1hR1bUGvkzltWJaSrPRo+v8S2/UPsqOuls9uE3+eJ+br1yan895eXJGyw19Bmp6o0NernP1ayEA1+vx+n04lGo8Hj8WA0GnE6ndTW1vKd73yH7OxsfvGLX5zSe3AqiGE6g9/vx2Qy8c9//pPvfOc7bNu2LVRF4cSHe2LBuxx4R1GUFkEQigC1oiidgiDcCfwMKFMUJbYF7SQmcWbi35YwDAwMhCScly9fjiRJdHV1hQoM0dA94ObZt4cpK9CweoExwjnZ4/HQ3NxMQUFBqBKdCPx+PwNDJp5804lbMST2JMnHjaeJbhOcu/P5fFE9FoKbX7PZHHL7DZqdqVQq6pusPPd+fK8CCBTYrlyqZ/Esw4TvG6Cl3cTbO/sZcqXik1MQZDdrlnqYUpxNZmbmmPsURVF4+LluBhwnY7siS6TpvFSXalk6M5XBvraosxaJwukR2X7ATH2LG5tbh6CJQWeWZWZN8bDuosSSha4+Fx6fTOWUyBmU4OcpSVLUZCHa451OJykpKSGvg8zMTHw+H2q1mltvvZWnnnqKWbNmJXRvE8UpxkcIzDAIQDFncIw8oyhJHo+HAwcOUFJSgsfjwWq1otFoGB4ejtliHb0pbnnVgyBbKM1VWDUvg9qKNFpaWlCr1dTU1IxrYxXUYl67xMnWgya6zXrQZEbe/wgO5YrFNXzlMysTOv+Q2UN6qjamY7LVaqW1tTXm5nK0IlSwMt3Y2IjfL/PK3nTccmKcSUGRuGKZ8bQkC5Ik0dXRxCVLjSekRiVau92UF1WHaEFerzdEu0kIURLbrmEtdY125k3PGPd967Rqzl+Sz/lL8lEUhfomK+/v6aGxdQiX0xE6nz45lf/+UuJu3A8/10XHcDKK5MSY6mNOZXLIzXm8yQJAWlpaKMmVZRmz2cxjjz3Gc889h16v595778VsNpOdndgcy6lgpOmMzWbjiiuuCA1rBd8nrVZLfn4+zz//PGvWrAkt0CN1phVF6RIE4a8jdKVXAX8QBOEQUAk8PZksTGIS0aXHgw63Q0NDLFy4kF27dmE2mxkcHMTpdMY814FGKy9scSOoUzjYDnVtdnTCIFOL1Jy7wEC6XuL48eMJcfNHQ6vVUpCXy3kLdexpcDJgVYdRZ0dDpXi4fU3iFfSGVis1FVFiLie9CrRaLdOmRXcqHqkINZKa2t7ezvEBPQc6jIl5FQDl+RKLZiZGAY4Hi8WCy9bNZ66pQq/XY3f6EYRMkAPCJ0FJ+KysLIxGYxg1NbDn6cHiCS8ECio1TjGF/a2w77gHrWCgosvN6vk6SvLjFw1HI1Wv4eJzcrn4HJAkhf1HrexusNNvCUjKCoIQSBZKnKy7qCz+CQl0cx593R6YdZR7yc+QmDc9lUUzMlCrVHR2doZ8QxI1ZautrQ0luR6Ph0OHDvHtb3+blpYWrr76amw2WyiGfRg4jfFREQShR1GUR0ac/oyKkR9JhyGak6XVauXQoUPU1taSmZmJ2+3m0KFDIc55NNqNwyXym3/24hlDWk0RPeSkezh3QTYLZ0RfeMaDzn4vW+o8tA7qUNQGBEGFy95Pa92zXHPJAm68en5C59nfYObP/9yLLMvk52WxYGYBF55TQHpKIIcbHBykt7eXmpqaxL0KRuCZN3vY16IKDHXHg+zhruuyKMqdON1GFEUaGhrIy8uLaA+OhCRJWCwWTCYTb3RdR7wOw7Gdf8dp6Qg7lpJZTFVFwWnrigwNDdHX10dGVhmb9w7Q0m5mzWojKtke8ssYvXiPRDBZGI2A27Sb3FQ7V6wspqLUkND96HQ6SkpKwr7zsizzve99D5/Px5133snGjRvp6+vj//7v/07pNY8H559/PgaDgYceeoiCgkhTpYaGBmbMmMErr7zCFVdcAYQWU0EQhNnANcAFwCDwE0VRDguCMAf4L2AdYAV+Dzw0mThM4izDaY2RPp8vLGGQZZnDhw+HNkjBSuyePXtwOBwYDIHO7WhFuDc/GGT7ESEmB11RFFSSi7ICgXPnG0Oc/VOFoigcag54FXQPh3sV6HBy17p80tPixzNRFPnNPw7T1TOARqultCiHxbPyOWdONhqNKkSfyszMpLBw/HLiTrfIH9f34vJHUmejvaZZpX7WXXR6ZDhNJhM9PT1Mnz59zAHyoF9BUOAl0BnJ4M8vWXD4E0sAFMnHzRenRa3mjxeSJNHY2Eh2djYOXyrb6yzo1B7mVoj4fL6w7k0s6lcoWYi4T5EUrYsp2X6uOLecjBiGdqNRUlIS8lIIor29nRtvvJEHHngAk8nEyy+/zKc//WnOP//8U3vhCWIC8ZETcTAiPgKcSTHyjEgY+vr6aG1tZc6cOej1eiRJYnBwELvdHqLdDA0NYTabSUpKIjs7G5eYzCMv2VBUiVV+dYKLb95UkPAXMd79NzY24pNTaBow0NTpYlZhH1OLdEiSRFZWVkhuNBre+qCXZzYeRBnVNREEFVlZBipL06gtUzhnYe2EsmJRlNheb2H3ESdDNk3Uyo8aN9+8MS+metJIKIrCnzZ0I0oKS2ems2hUAubz+WhoaKC4uHhcFe9EKEnHdv4Np6Uz7FhBQQE//frS05IsDA4OMjAwQE1NTcR7Hm2uIOhHEfyMH3qui84oycJoBCVlv33z2I7ZOp2O4uLisJkFWZb58Y9/jMlk4pFHHvnQaUijTWdWrVrFgw8+yM033xz2uKDB4p133snWrVvZvHlzWOdIEIQcYCcgA48Cs4BlwDpFUfaeeIwG+DZwLfA9RVHe+lBf3CQmcXrxoSUMPp+PAwcOkJeXx5QpU0KV8ra2NmRZDtFugopwQc7+8+87aB2M7xYPATrLypkCFy1NnI40FoLD16rkIvY0eHF7/FyyQMHhCMiNGo1GMjMzo8p52h0+fv1oHSazJeJvKpWGgjwjJbkqzltcQElxYq7KseBwiWzdb+JQqxeHNwlhlOS6IsucU6tw2bLcGGcIx9FWOy9usVKcrWL53IwIJ+LBwUEGBweprq4elw+R3+9ncNDEo2+48QuJsQaQfNx6RTrlp2l4uqmpidzc3KiUtWhzBSM/49YuB/94w5GQiqIiy8ycInJ9nAStuLg4oijZ1dXFDTfcwMMPP8w555wzvhc5Tpyu+Dg8PExOTk4LY8RHODNi5EeSMMiyjN/vD5l9WK1W5syZgyAIiKJIX18fHo8n6nPdbjdb9vbyTn0yqgQlPI3JTu6+qRjNBOUwIfDDbWhoID8/P2oFXRRFTCYTw8PDIdpNdnZ2aODqX6+38faWBhJ5Sw0GA9/5wgJyjKfHsn3r3h6219uxetJBrUctW/nkKj+FBTkYDIYxkxNRkvjtU92Y3ScXH0XykZUusqA6mcUzUjje3Eh5efm4OZMJJQwf/BWntSvs2NUXVHPtJTPint9k9WB3yZQVRq/KDAwMMDg4GDVZiIYgH9FkMuH1enn3UCqDrsSoVYosc/kS1ZhSuFqtlpKSkrCAoigKP/vZz+jo6ODRRx897e3VaKYzsixz3333hUxnUlJSeP7557n44osjnu92uykoKOBHP/oRd999d+i4zWYjMzPzCWAxcNEJWlIy8DLQqijK7aPPJQiCTlGUsXUlJzGJMwsfivS4w+Hg4MGDVFVVkZWVhSzLIfGOaJAkiSGThX+8ZsUtGxK6liL5+MTqZOZUnR66TbBTW11dHdEdD3LOg3KeOp0u1LnVaDT0Dbn43T8O4HLFplgFIQgq5s8q57a1007LfXu8fjZubqFtMAm7NxkENbOKBjhnVmaoODRW8rXniIVXPvCFK0TJXgqzZBbXppGf4cJqtVJVVXXK63d7r5OtdVba+mT8ij72QLLs5QtXGShOUKRj6wETFcV6inMjY6QoijQ2NpKXl5fQfMvIz9hqtTJk07D5qCFhyfUUjYu7bywcc79WVFQUYYDW29vLunXr+P3vf8+qVasSulai+DDj41e+8hWeeOKJYyQYH+Gji5EfWcIQ5JrpdDqmT5+OLMt4vV56e3vj6kc3dTp4b6+V1n4FmdiqDIqiUFng5XPXjO0IGERXnxu1Bgpzov/I3G43x44dS3hTLEkSZrMZk8mE0+nkrf0KjS39cZ8HgcXw2stmc/nKiSkXBdHf3x/aFGs0Go53OSnN1+PxuEK+FsHuzWjajdcncf8T3TjF2JUKWRJJS/Iwe6qe8xdnkTEOk5xEEoaGDx7BZe0JO7bmoumsuah2zOcNmDzc99BO3C4XySmpVJbnsnpRAXOrDQjCSVnWRJOF0WjqsPPYa2ZExjaHg0CycOkiFectGn+ycP/999PQ0MDjjz8+rspUIhiv6cy3v/1tfvjDH4YZLj3yyCPcc8897N69m8rKytDxt99+m4suusgD3KgoyouCIKgVRZEEQfgFcLGiKAsFQRCUBBeiSUziDMVpTxj6+/tpampi9uzZoaHOnp4ehoaGxnyuJMnsb7Cx+6iDfqtmzI2aSvbwuauMCW0sFQW215mYW51OWkrk+q4oCj09PdjtdiorKxNap9xudyj+9JkVXt1mQvQntg/Kys7lv26bFaLxTgTBTXFOTg55eXkoioLJ6iMzTR2izno8HjIzA8nDaL+m9/cN884BeUxPCEXykZ0mMrcqmVXzsybcGTfbfLy/z8zRdg8eKeXktSU3X7zGQGFuYp2Fxzb20jqYhKIoaAQvJTmwZEYatRXpSJLEsWPHKCgoOOU5uX+90UVjl4Cijv8dS1a7+MaNY/tmFBYWRrg09/f3c91113H//fdzwQUXnNJ9xsKHHR+vuuoqPB7P2rMhPn4kCYPL5WLPnj0UFRVRUlKCKIrIskxfXx9ut3tc52rvcfHuXgstvRKicrICoMgyS6f7WXt+Yhvu3UdsbHjfDYKaJLWHqYUqzp2fQVlRoKVos9k4fvw4VVVVCTtTjsQ7u3p5ZuNhJNEf97FqjZZbr5vPsjkTH2QNLuI2my2u/Kjb7Q4pLgW1tnX6DB7YYMYnJzg0JXv50jUGyooSH7JKKGHY8WdctnDJwPMW5XPNRbURZmxB9Ay6+dnDO/F6Ir9TGm0ShXkZVJXouPaSWvT6iVHVTDYf7+42caTNe4IXO4rWJMtcvFDggsWxKzRarZbi4uKwZE1RFH7/+9+zZ88e/vWvf8U1TTpVxDKdGc3D3LNnDwcOHOALX/hCyHTmhhtu4OKLL2bRokU8+OCDoY2C1+vlv//7v/ntb3/bpShKKQSkIE4Md70ODABfUhRlfD/6SUzizMNpjZFNTU309fUxd+5cNBoNsixjtVrp6uoalyGboijUN9vYechBj0kIc5nX4eAr6/LJSIvfwfb4JB7a0I/No0dRZNK0XqpL1ayab8CYoUeWZdra2hAEgbKysnHTJUVR4v5H6+npG4oqcDEapSVFfO2WWpI0E6dl+nw+GhsbKSoqGlOEI0i7CRYA09LSMBqN7DjsY1eTOjH50RNFzJsvPz2FwCD1q6x8GruPumhod3H+HJD9tjHN2AL3Ao++0kvHcPTPX5B9pGkdzKnUc+7iArQTLFR19LnYesBCa5+EX0mOeL/06kBnYaxkoaCgIGJmZXBwkOuuu46f/exnXHLJJRO6x1j4MOPjs88+S2dnZ1BJ8IyOjx9JwhDkgxsMBmRZPmGOFnjTfT4fDocDp9MZk5Y0GpIk0dzcjMOj5mhPCi3dIitnKBQanPj9foxGIzk5OTFbiq9uG2ZLfaSToaIoaFVeCg0+pmZbOW9F7Sk5U468z531Zrbu7aG1cwjRHymdp9Xp+dqtC6kpT4yn+NK7XdQ3D3HO3EJWzc8J+7EFVTVEUWTatGnjWsS9Xi/HOwZ5/C0J1IkNTAmyh6+uy05IAWMkEkkYjm7/E257X9ixK8+tYP70dGy2AC822NpWq9V09Lr45SM78Xnjf4dUKjXnLJzGZ09Ta9tidfDyu8fptWVgdupA0DKzqI9z50cfTISAmkdJSUlEsvDwww/z3nvvsX79+lMafk8EwcEru91OYWEh999/P7fffntYctne3k5/fz9LliwJHdu4cSM33HADkiTh8/l46KGH+PznP49Gownxr2fMmEFDQ8NPFUW5VxCEJEVRvIIg1ABPAi8pivLjD+VFTWIS/16c1hg5ODgYkmUMbkqCa4bT6cRisWA2m/H74xeg4KTxmKIrZF+jD69P4rJFCna7jaSkJLKysjAYDFG7AkNWP4+8MIhPibbplEnWeMlJsbOkNplZtVMmVDm3Ofy8v7efA0cHGBwyc1JQ7SRm1FTwxeumoVLFv47Z4uHBp4+QbUhh+fwCZleFz9253W6am5spKysjIyPB2QBOSq4/v3mA1uHE1AUVRWF2mZ/rLjg9w9Nms5nu7u6o1C846ZdhsVgQRRGDwYDBYDhR8BT4y4s99FgSi9WK5OVzl6czpWjiw9MADU3t7Dnmpdesx+nToxFcXLvMR35u7O9htGTBZDLxiU98gv/5n/8JbeZPNz7s+Hjddddx3333CWdDfPzIhp49Hk/EQjgafr8/lDzE6jwEZwpyc3Mj2lQQaDWazWaGh4dDOvbBmQIQeGxjHw3dmoR+8CrFxe1XGygrOj360bsO9vPW9nZ6h9x43C6Sk1P45MW5VFXkRLj8RsM/Xmxm666mk/enVlOYn83CWQWctyiPvp42dDodU6ac2iLu9UlsOWBmkTTD0gAAa4pJREFUf4MLk1M7Zmt7PMPTAMfa7VRPCbR1E0sYHsZtD6dzffKKmVy6uirEmQy2toftAuvfHsLvS8zkL9OQyQ+/soSM09DaDtLWgp0oRVEYMHnJztSE6Glut5uMjAyysrLIyMgIqSGNThb++te/8vrrr7Nhw4YJGwaNhbFMZzweD/fffz+PPvooiqJgsVj44Q9/yF133RVaMN99911+97vf8fLLL3PNNdfw29/+loqKCsxmM0VFRXg8ngsVRXlHEASNoiiiIAg/IGBQ8yNFUV47k1quk5jEKeK0+zCIohg3RrpcLiwWCxaLJaZ3Q3CmoKqqKqLgFRQVCW4sNRpNmBpca7eHx9+0oAiJiWIUptv50rrycb/eaHB7RF59r5mjx+0MmZ3IksiMqnwuOyedrKysmGo8QXT1Ofj94wfwjOgwa7U6SouzWTqngBkVetrbjjNt2rRTYg0AWB1+3ttroqHDh8uvj0lJUhSZpdUyl69IbEi7q9+F1yczrTT6Bn14eJi+vj6mT5+eEPVLFMXQ98ThcLL5SAZWX2IzK4rk59zZAucvmdiAeRBdXV14PJ6QFK4oSkiygug/meCM7o5ESxYsFgvXXXcd3/nOd1i7du1pubdo+LDj48aNG7nggguEsyE+fiQJw+OPP85DDz3E1VdfzZo1aygrK4u7oRVFMZQ8uFwu4KQJ1qnMFFjtTt45ZMDqTayqIIlezp2tcMWq4vgPTgBBilNQk7+x3UauUY9eK0XQgrKzs8MWekVR+P2TRzh0tCPm+QVBhdGYwYJZRVx0TkGEUc94IUkyu49Y2XnYQZ9ZhTCita3FwX99uoCM1PjXUBSFh9Z30WVOOTE07Se5+CriJgzbHsLtGAg79qmrZ3PRisiuwP2PHqSxpTdChSoaMg0G/ucrS0hPmfgQ8ehkIRZG6oE7HA7Ky8spKioiJycnlDQEvRZeeumlhD0bJoqg6cyPf/xj0tICgeq73/0uTz/9NDfddBN33303GzZs4A9/+ANPP/00M2fODHt+V1cXr732GhdddBEVFRV0dHRw5ZVXcujQofsURfkBgCAI6cAu4B3gO4qiOP4tL24Sk/hwcdpipKIonH/++RQXF7N27VouvPDChAoGbrc7tCkMFuS6u7txOBynNFPQ2q9lb7sxbIh3LCRh4q7rS0lLIA7EgyzLtLa2olarKSsrQ5QkOvs8lBelhIzYHA4HaWlpocLLyA56Q6uFPz9dN+Y8hEqloTDfyMJZBaycn4s+aWIxwOMV2Vpnob7ZhdWdFPJ3UGSZlTNELjonsc5CY7uDp94KKAoJspcCo8Si2jTmTw90R05VaSmI5g4H69814xH1CHHm9hTJz3lzVZy3KDGVqHgYnSzEwsjuSHp6OjU1NeTm5pKREfBcstlsrFu3jq9//etcf/31p+Xe4uHDio9r167lJz/5SZCSdEbHx48kYVAUhf7+fjZs2MCGDRuw2+1ceeWVrFmzhsrKyrjJgyRJdHR0cOjQIcrKyk5pQ/XCu4N80CAl5FMg+l1ctyqZpXNOj+Tc0NBQSId5LIqT1+sNqfEE5VozDUb+74km2jt7Yz5vJFQqNZ9eO5/VC0/PDz44JKzoSth20I7VKbJ2mYzLaSM5OTlM8WI0FEXhd//sYtARPt9QWHl+3M/8yNYH8TgHw459es0cLlw2NerjvT6JLfsG2Hmwn66e4aiBw2DM4sd3LSJFHz9QKIrCnzd04/AozK9OZuU8Yxj9y+Px0NDQMK4ZF7VaTXFxMT6fLyTr+uMf/5gpU6bQ1NTE22+/fcqVr0Qx0nTmtttuY/369Vx44YVAQDd6wYIF3H///dx5552h58yYMYPLLruM3/zmN0DgtQfne0Z3xX7wgx9w33337QS+BhQAdwP5wKcVRdl/JlVPJjGJCeC0d+G3b9/Oc889x9tvv01tbS1r167l4osvTmhNcLlc7N69G5fLRX5+/rg7zC6PxIPP9eLwJMXfVMoy2ckW7ri+4rQoEQY9FjIyMigsLBxT1MRut2MymUK0VKPRSHO3xD9fPowsJzbrUVBQwDc/M2PCCUPw3o8dO0Z2Th5tAxr2NjipKZEpyXLj8/lCQ9NB1cTRGMt5WpF8ZOo9lGa7uer8SvRJE5tnc7hFth0wc+i4B7tbG+HkLEt+LpqvZtWCxPY9TR0Onn3HQp4BFs1IZ25VuKFqosnCSOTl5ZGfn8/w8DCDg4O89tpr7N+/n+7ubu68804++9nPJvx6TwX/jvi4adMmdu7cuZSzID5+JAnDaAwODvLCCy+wYcMGBgcHueKKK7jmmmuora2N+sXq6uqit7eXuXPnolarcTqdOBwOXC5XhDvmWPD6Jbbtt7DvmIshhxpVFJ8C2W/n81cZqSpLrH332tZBGrs8LJuVxuKZhoj77+npwWw2j1uVx+/309M3xAP/Oo7FYkvoOWqNji/euIAFtcaErzMWurq6sNvtUYeng63tYHVKrVaHvAqSkpIQJYnfPNmNxRMZ7BJLGP6IxxmuDvKZa+dy3tKKuPctSRJvbWth71ErvYMu3C4nmZmZfPaqXAoLsuNKyiqKwh+f7aLHcjLRUWSRtCQvMyuSOGdmMn3d4xuIDyYLoxPGRx55hMcff5ysrCzMZjN33303n/rUpxI650Qw2nRGkiS++93v8uyzz9LY2IhWqw19RvPnz+eyyy7j5z//OQBvvfUWjzzyCMeOHWPmzJn89Kc/pby8HAj8tvPy8v5GwHSmF2gC7lUUpe5Df1GTmMS/Dx9ajJRlmT179vDss8/yxhtvUFlZyZo1a7jsssuiOjP7fD4OHjxIfn4+paWl+Hy+ULU22J1PFBa7j60HrDS0e3F4dVF8CiSm5Tm55aryhM/38NNHyM1K49zFBVSOotz4/f6QKk8iEp6h+zhBS31jayfv7+lOeB9QUV7KVz9VjUZ9+oani4uLMRojY64kSSG/DJfLRUZGBgaDIdQdiSbLGguKLLJ0OglTnOLB6fLw2vvN9FjSMDmTUBSB2cWDLJsTKADGk5Rt6nDw5CZnWKITVIWaU5lMeY4bv398yUJubi4lJSVhx6xWK7feeitqtZr+/n7Kysp45JFHxvVdORV8mPHxu9/9Ln/7299snAXx8YxIGEbCZDLx0ksvsWHDBjo7O7n00ktZu3Yts2bNQpZltm/fjsFgYObMmRGbPFmWQ8mD0+kcV/IgSjLv7x1kR70VhzcNQZOE7B3mE8tFppblRbhMR8Pjr/ZwpFN3UqlJ8pGTIbK4NoVlcw30dHXh9XqprKw8JdMtp1vkzR297DvcR/+AaUzKjVan5xufXUx1gg6PPYNuCnOiS9QqikJHRwc+ny/h4engYLvZbMbnk3h5bzoeOTr9q6gqvgza4S0P4HUNhx277bp5rF5cPubzRt57sHvV1GGjOC8V0ecMOWkGB/9Gz44oisIDz3bRaxnDTVxW0KldVBZpOHehgSkFYytExUoWXnzxRR544AE2btyIwWAIVc/KysrGPN+pIJ7pjMfjoaamhi984Qvce++9oUpLfX09d955J5deein33nsvAK2trezZs4f29nbuuecefvnLX/Ltb3975OWEE6YzlYqiNJz2FzOJSXz0+LfESFmWqaur49lnn+W1116jpKSENWvWcMUVV2AwGGhsbGRoaIjq6uqomyi/3x/Sx3c4xsd2sLv8vLGli+Ze8EgpKIpChbGPi5bmYDQao4o5jERnn5PfP74/TLUuSZ/MtCm5rFyYz7TiJJqbmyktLR23l08QHT0O3t/Xz9HmQWx2+5hE11m1U7n9umkksn+1OXyYbH7Ki6IXhDweD01NTUyZMoXMzPjFRVmWsdvtmM3mAD15QM+BDuOYsqwjYdC7uOv6ItSnIdEJ3nt5eTnp6ekoioLZ6iMjTR2Kj16vN6aTc4BC5YzaFQlCkUXSdD6mT9Fy/qJs0uLMC+bk5ITJlkKALnfTTTexbt06vvjFLwKEuvqn25fo3xwfEQRBy1kQH0+voPtpQFZWFrfddhu33XYbVquVV155hV/96lc0NjaiUqlYunQpv/71r6N+QVQqFenp6aEvvdPpxG6343K5kOPw2R12G1m6Xu6+qZqkpGT2NViZOa0cWfQxPDxMV1cXer0+5FMwWif/gWe66LWmhC0+glrHsFPH63vg1Z2DpGklFs80UlaukHQKgjepyRquvaCUay8oxeOVeG93P7vq++nqHUKWTrZf9cmp3HP7IkrzE5M2Xb+pnTc2H0Wj1TGlJIdl8wpYOS8bjUYdMtdTqVQJ0cVC96DXU1RURFFREc+93YPLryLBtTAGIuOxOk7ioigK7e3tiKIYdu9VU04kLvoMMjIyKCsrC3F3GxoaEAQBo9FIVlYWf3lpiF7r2O+joBLwK6kc6VIwZjrGTBhUKlXUZOHVV1/l//7v/3j11VdDwTL4Xf4wIAgCbW1tIdOZ5OTkMCOctrY2urq6Qhb2wSTx/fffx+l0Mm/ePCAQ+CoqKqioqOCJJ54gLS2NT3/60xHXUxRFBM7oxXASkzjToVKpmD9/PvPnz+enP/0phw4dYv369axZswadTkd3dzePPfZYzIqrVqslLy+PvLy8sEFYu90+5nVlWaa/p51F0zVcd0kZXp9M37CbkrxZWCwWenp6wnwKRlNuDjVb+OuzByJkxb0eN0caOzjS2BGIP8XZrFTJLMxUxk2jAphSlMbNRWnANAZMbjbv7udw0yBmi3WEXKvAkvmV3JxgV2TI4ub+v+3H5XSSnJzC1LIcVswvYOa0AOXG5XLR3NzM1KlTQ9z2eFCpVGRmZpKZmYnHI/JGXQ/x5viCyEl1cee64gn7OMDJZKGioiJ074IgkGUIxKfc3Fxyc3NDkrJDQ0O0tbWRmpqK0WhkwKbhX2+7x0wWAASVBqeoof64iwuXjPlQsrOzI5IFr9fLLbfcwjXXXMPtt5/0MqupqTmFVx0fk/ExOs64DkM09PT0cO2117J48WIGBwc5evQo5513HmvXrmXx4sVxs8sgXSaYPEiSFPb3gYEB+vr6qKmpGVO60uVyhQaS1Wo12dnZpKUb+P2zAzh8iVFRFFnkmuVals1JzBk4HsxmM8db27D689lVP4jV5uXGS7JQREeE1Gg0PPpiM9tGKC0FoVZrKCzIpqJQw7LZmVROm5hcnihKbK+3sPuIkyGbBmEE/SuRDsOh93+Pz20OO3bB8mra+3wsnl3A6oW56HWRkrKKolBRUTGue/f5AkniY2/YsfoS88JQFIXlMySuXpUf8zHBZGH0AOOmTZv46U9/yquvvvqhtFajuVSOxEjTmXvuuYef/OQnvPnmm3z1q1/lmWeeYdGiRUDgd3LHHXfg9XrZsGEDOp0upOLi8Xi49NJLKSgo4Omnnx59iYlHtklM4szGRxoj//73v/OHP/yBSy65hM2bN5OamsqaNWu4+uqrycvLS2guMJg82GzhlFdRFGlqasJoNEZVIhx5jtGUm6ysLOqaPDz32iFkRYr53JEoKszlW7fNPi3zELIs09LSgqRoaexWc/DYAFXlBuaW+0NSo2N1R7r6HPzfYwfweiNVGnW6JEoKsyjNlbh0VRVpaYl7D0WDwyWy9cRMgcObFEH/AijMdHH72sSSBY9H4uHne9FqYG5lMktnZaLVakb8PTJZSASKogQcyI8NsqkuJWEHZy0uvvbJAtKSY9eps7KyIjrqPp+PW2+9lXPPPZe77777tCRKI3EGxEc4S2LkWZEwPPvss+Tn57N69Wog0Jp68803Wb9+feiDXrt2LcuWLYurGqAoCm63G7vdjsPhoK2tDafTGdfUbDQ8Hg9tnQM8/paMok6sCqxIPm6+OJWZlYnrPY+FwcHBUKIzepgm2GEJJjijXZwVReGP/2yg7nBb3OsIKhX5udn8123zMGRMvCmlKArbD/Sx9YAVqyedopor4j7n0Hu/w+exhh1TqbUIBDJ7lUpFXm4282bkccGSAsxDXQiCQHl5+SktMIqisOeIlQ8O2ek1qcIMj6I9dlmNxDXnjj9Z2Lx5Mz/84Q/ZuHFjhNX96UAiLpVBjDSdCWpK33vvvaGKzo9+9COef/55/uu//ovPfOYzyLIcqqzs2rWLZcuW8d5777Fy5crRpz4rFsNJTGIC+MhipCiK/M///A/f//73SUkJUIWOHz/Oc889xwsvvIBOpwspEo41RBxEcONvtVoZGBhIyNRsNIJKcC9t7mLPob6EzNgApleVcucnp5+WTWFweNpgMMSUXA/6Wbjd7ggX58Y2K3/61wH8CThPqzVals6fyo2XTZnwfQN4fSKvvX+clj4Ndm9gU56VNMi1q1ITon+5PCK/f6Yfr3xSEEaRRTKTfdSW6Vg4XU9vd9uEJGW9PpEdBy0caHZjiSO7rsHN1z+ZP2ayYDQaQ9z+IPx+P5///OdZtGgR3/nOd057snCGxEc4S2LkWZEwjAWv18vbb7/N+vXrQx/KmjVrWLVq1Zg+BrIsc/ToUfx+P4WFhbhcrnE5aEKA9//adhOtfQoS0fn/Jy/o5ctr4/Pbg3B7JJLHUO8Z7/B00MXZZDIhqFS8uMVLe9dA3OcBIAhcecEs1l5QEv+xCcBqtdLa2kptbS1qTRIPvz837nPq3/stfk945UsQNKii8pwEMjLTmFNTyEVLiyjOn7gsaVOng/f3WWjtk5E4uVgrisKSKj/XXlAY87kqlYqioqIINa+tW7fy3e9+l40bN0ZoTJ9OJOpSORKKovDjH/+YP/3pT1x99dWYTKaQZNxtt91Gampq2IJ4xx13sG3bNg4ePBjtdGfFYjiJSUwAZ2SMVBSFzs5OnnvuOZ5//nkkSeLqq69m7dq1lJaWjhmzbDYb9fX1lJSUoCgKVqs1LrV3NPYdNbFtXx9tnUP4oxiVjsQ5Cyv51BXxRSwgUI0XhABNNxrGOzw92sW5z6rj1S29YVTfsZCRaeRbn5uLIW1iykUQ2JscP34cvV5PcXFAxr2l00l5kT4swQl2cEbPFDhcIn94th+fEjvuKbKMXuOhqkTDqnkG8rIm5vOjKAr7j1nZddhBn1lA0Jy8tlpx8Y0b8klLjf3eGI3GCHl9URT50pe+RG1tLT/4wQ9Oe7IQxBkQH+EsiZFnfcIwEn6/n82bN/Pcc8+xZcsWFi9ezJo1azjvvPPCOON+v5/6+nqys7PDTM08Hg92ux2n05mwg2YQXf1u3tltprknaHt+8vNXKy7uvimfrARNzZ7Z1Mv+Fg0alZephQIXLDRSVhRINIJDvBMZnv7Hi01s2dmc0LCXIKi47so5XLrs9GxoTSYTnZ2d1NbWotPp8IkCf94yJ+7z6jf/Br83nGcbO2E4iZLiQn7w5bkJuYLGQ1A6NTO7lJ1HfRzr8FGR72demStkNJOVlRXWRRAEgaKiIlJSwhPFDz74gG9+85u8/PLLUasZpwun6lIZxGuvvcYjjzxCRUUF559/PldddVXEY7q6upgzZw4//elPueOOO6LdxlmxGE5iEhPAGR8jFUWht7c3JGfucrm46qqrWLNmDVOnTg2LWYODg7S0tDBnzpzQ2qUoCjabLURdGk/yoCgKh1usbNnbR0v7EL4RFB9BELhkdQ1Xrk6sINU37OG3f9+Hx+Miy2hg9vR8LliajyE9EF+DVJtTHZ622Dz84pG9OJ3OhDapWdm5fPtzs0lNQJ47HmRZpqmpifT0dIqKisZ83Egvn9TU1EAHSJ3CgxuGEUksAZBFL59YlcTc6aeHIt3b24vdbkeVXMj2gzYGzCKXzvOjyK6YnhkGgyGCCSBJEnfddRclJSXcd999H1qycIbERzhLYuTHKmEYCVEU2bp1K+vXr2fz5s3MnTs3tDD+5S9/4Tvf+c6YFBCv1xtKHny++C3JIIaHhzlyrJN2Sw7NPQoqJK5Z4gTZH+YyHesH8JcXumnpTwr7u6IoqPAyJUehqtBJeYF23Lz80egf9vD2B73UNfRhMlmJ9hGrVGpu/sQCVs1PjFff0mHn1a1drFpYwNzqSEnZoaEhent7qa2tDVHHfKKKP2+ZHffc9Zt/jd8bruoRL2EoKS7k+1+ac1ok84LJwrRp06IOIo/2zDAYDOTk5FBZWRnR8t27dy933XUXL774YkQL9nRjoi6VQQSrLcF/e3t7EUWR0tJSHnzwQb73ve/R3t4eSyHkrFgMJzGJCeCsi5EDAwM8//zzPPfcc5jNZq644grWrFnDq6++SklJCWvXro050xf0QAgmD6PnAmNBkiSam5sxOXQcbvXT0mli1fxsSrM96HS6MX18AFq7HDzwxL4o3QqBTEMm0yuMlOc4mTdr2rh4+dFwpMXC1v19NLcN43ZFTx4KCgv4r1tnkqSNH2MUReHRF5vRatSsXlQQwTaQJImmpqaYFKqxzutwOGjvGmbDdg2KOjEWgyJ6WXdeMrMqDQlfaywEk4VohczRqlDJycmhrkJVVVXYeyvLMt/4xjcwGAz87//+7ykVRRPFGRIf4SyJkR/bhGEkJElix44dPPTQQ7z66qucd955rFu3jksuuSQh/p7P5wslD15v7LZqb28vJpMpql170GV6eHgYt9uNwWAIaydKkswfnulmwJ7Aj132Uporc/vaQjSnQU7M6vDyxtZu9tT3YrY6QJFRq7WsvaCU5QsKI1qe0XC4xcYDj+8OGaRpdUmUl+SyfEEB58zJxjQ8xMDAQICGNOKevX4Vj2yNnzAcfPd+RJ8z7JggaGMuJlNKC/ne7XMSkp1TFAWfXyZJF/29jJcsjEaQG6tWq5EkKSRFl5OTQ0NDA1/60pfYsGEDlZWVcc91ujARl8pordlnnnmGu+66i1mzZtHc3Mzll1/On/70p1iXPysWw0lMYgI4q2Pk8PAwzz//PL/85S9Rq9Vcc801rFu3jhkzZsTdsAU3rEEH5ljUXr/fT2NjI3l5eeTmRhqJjnSZ1mg0GI1GjEZjKGk50GDm0Q11yFL87n9aejpXnjeNFfNOj2Fpa5edN7a20dZtw+lyIQAF+bncelUBuTlZY4qlAMiywv89fojWjr7QsZSUVCrLclixoICqKSk0NTWRk5MT9b1JBFaHny37TTS0+2IOTQehiB5uOD+FGdMMCZ3bbPORkaqJGU/HShYirn1ChEYURZKTk9FoNOTm5pKUlERubi733HMPGo2G3/3udx9qsjASH3F8hLMkRv5HJAwA27dv56tf/SpPPfUUNpstZIIzderUkAlORkb8YWSfzxfyefB4PMBJmpDH46GysjLuTEFwqGx4eBin00lKSjrPbNXgEhOriCiyzPnz4JJzTs9i6HA4aG5uDmT6aj2bd/czpTCVoiwp1PJMS0sjOzubzMzMiB/xviPD/PnpfUgxAoVaoyEnK52VC6dw3uL8MEdNj0/FX7YlkDC88ytEf7jpUElRIYMmJ+KoalN5WRHf/fzshJOF3z/dRZ8liTSdh9pyHecvysJ4gj7m9Xo5evRowskCBFrshYWFIR6j2WzmpZde4v7778fn83HPPffw+c9/fsIVsHg4HS6VQYzkYwZx8OBBfv3rX7N+/XoyMzP52te+xh133BGtinJWLIaTmMQEcNbHyNtuu438/Hy+853vsHHjRjZs2EBraysXX3wxa9euZe7cuQlt4JxOZ4hrH6T2jpcm5PF4MJvNgZk7QaB1QMebW9tRlMRoUNnZRu753DyS9adHpKO9vR1Jkpg6dSp9wx4ONlpZPd+A1WrBZDKhKEpUSioEFALvf7Sent7BmNfQapMoLTKwclEJ86cbUasntmR6vCLb6y0cbPJgcWrCXJwV0c2NF6ZRU5GYGe3R4zaefjdAIctK9TOnUs+yOQaSdIH3tq+vD5vNNi6KdHp6esjEzePxMDg4yNe+9jUaGxvJzs7mz3/+M/Pnz//QqEhwRsVHOEti5H9MwmA2m5EkKWwASpZlDh48GDLBKSoqYs2aNVx55ZUJLWp+vx+bzUZdXR2iKJ6SIo8kSfzs0S7cUqLJgsia5TrOmXN63JttNhvHjx+npqYmYqELXfNE+3l4eBir1Rom17qz3sQ/ntuPLCfWks7Ly+UnX10Ymilw+dT8bdusuM+re+d/kfzh0nbf/dJKJM8gvWYd9cc9NLcNkW1MZc1yDcnJ0T0zRr+u3z/dRb8tJeJ4kspNRYFAaeYQi+ZNTSiZhECyUFBQEJEMHD16lNtuu417772XQ4cO8cYbb/Cvf/2LqVOnJnTeieBUXCp/9rOfIQgC9fX1vPTSS7zzzjvk5ubygx/8IKy6AoGOyq9+9Suef/55fvazn3HRRReNvoWzYjGcxCQmgLM+RjY1NVFVVRV2zG638+qrr7J+/XqOHTvGBRdcwJo1a1i8eHFCm0OXy0VnZyf79u2jpKTklIok9Y3D/OWZAwknCyVFeXzzttmnhYoqyzKtra1oNJqwecfRCBrimUymMLlWtSaJX/29jsFBU0LXEwQV1185j5XzE5Pzjge73U5LSytOCjnY7GXIKrGyxklOhkRmZiZGozGkChUNwWRhtM+CIkuk6byU5ohUFXqYN7t6XMnC1KlTwx4fHCLu7e3l8ssv5+WXX8ZoNPLggw+e+otPEGdAfISzJEb+xyQM8aAoCocPH2b9+vVs3LiRrKws1qxZw1VXXRVTZUEURerr6zEajZSUlIQ6Dy6XK+rjY8Hnl9iy38y+Yy5MDl1ME5TxyrIebbXR3uvlvIVZYVX9IMxmMx0dHdTU1EQYicXCSLnWLfuGeX/v4DiqPtn88M6FpIwYDnN61fx9ewIJw9u/RBI9YcduvnIKNdMKIobDgtK5wZkCtVodcnEOvk5FUfi/f3XFpYAF50fK8hQ+d3XhmNrgsZKFpqYmbrnlFh5//HHmzo2vCDVRTMSl8o477uDyyy/n+9//PkNDQ5xzzjmoVCpuu+02Dh06xI4dO1i/fj0LFy6Mem2fzxetPX9WLIaTmMQE8LGPkW63m9dff53169dTV1fHueeey5o1a1i2bFnMrvrw8DBNTU3MmTMHQRBCMw/B7nyisNh9bN4zQN3RPkwmC7H2LdWVpXzlxsRkWSVJ5tk3O6goSWfRDGNER1qWZZqbm0lNTaWoqCjhYmCQktrbP8S/Npmx2xNz1BYENddeNofzFp0eLx6bzUZ7ezvV1dUR8T3IcjCbzTidTtLT0zEajWEDyUdabDyzOb4pm6LIJKk8rJqTwsr5Yw9Pp6WlMW3atIhk4ec//znt7e08+uijp921eTTOwPgIZ0mMPOOcnj8qCILArFmzmDVrFv/zP/9DY2Mj69ev54YbbiAlJYU1a9ZwzTXXhExwnE4nhw8fprS0NCSJaTAYMBgMSJIUljzES8p0WjUXLsnhwiUgShIfHLSw45CDYbsWlebEBlf08MlzoaYiMc3k3YctbHjfi6DW8N7BYdKSPMysSOKCxVlkpGoZGhqip6eHGTNmjCk/G+19SktLIyUlBdduD/pkBy6nI+5impeXyw/umB9mrnbijAldV4kSjw2GzKhKEoIgkJKSQkpKCiUlJaGB5Obm5tBMwTPvyQy74le7BEFAVpJIT/HFNRLKz8+PSBZaW1u55ZZbePTRR/8tyQJEulSmpKSEDfi3trbS1dUVkpELLt7vvfceDoeDxYsXA/DVr34VjUbDW2+9RUlJCW63m6uvvpqHH36YRx55JOq143F5JzGJSZydSE5O5tprr+Xaa6/F6/WyadMmnnzySe6++25WrFjB2rVrWbFiRSiedHR00N/fz4IFC0LrQnJyMoWFhXg8nlDy4HZHmqKNhiFdx9rzS1h7fglOt8jmPf3sOdiDyWwLFaxmVBVy81WJKS35/BK/+ls9/QODbN8D/3pFS3FhDktm57F8bjagjOnhMBY0Gg05OTkMObQYDT5cLi9SnLkLlUrD9VfOZcW8xNSKxpL8hIB0eUdHR9RkAQgroo0cSO7o6CAlJYUhRzKv79XETRYg0BURZRUzp40dT1NTU6MmC7/+9a9pbm7miSee+NCTBZiMjxPBZIchDhRFobW1NWSCo9FoWLlyZUiabrQr4WhIkoTT6cThcCSUPMBJn4Lp06dTf9zLnqMOrlyWhiDZMJvNaLVasrOzycrKirrZ37xnmDf2SAhRFIQUWSZJ5aIg08l1F1WQmz1xj4KWLjvv7uzjSFM/NpstYiErLirg+1+ai1YT2bJ0eDQ8umNmxPHROPDWz5GlcLWqn9x9AcX54zPBE0WRB5/toM+eGH9TURRmTfHx6ctjS9wBFBQURMw4dHR08MlPfpJHHnkkqiTb6YLH44lJJzsVl8rnn3+eHTt2cPHFF/PMM8+wZs2aUJXlu9/9Lps2bWLv3r1xg9YInBXVk0lMYgL4j42RPp+Pd999l/Xr17N9+3YWL14cWhv+8Ic/xN0E+nw+zGYzFosloe580KdAp9ORl1/E1v1DiKLE4lo9ZrM5zGU6mmCHyyPyy78cwGw2Rz2/SqXBaEhj7vQsLltVhj5pYnVVUZTY12DmgwP9tHcN4/N5wu5JpdLy6bVzWTwzMZpxV5+Lv71qRaOSmFqoZuW8TEryT3bKLRYLXV1dVFdXj3uDqigK3b0W/vKaN2EHZ5Xs4c7rssnOjM1SSE1NjZhxUBSFP/zhD+zatYunn356XIXL8eAsiI9wlsTIyYRhHFAUhVdeeYUvf/nLTJ8+Ha/XG3LQHIvfGIQsy6Hkwel0Rk0egpX/mpqamD/2kSZswUpBdnY2Op2OjVsH2HpIQEiAT6goCjNKfdxyxdib4UShKAo79zWwr8lHW5cLk9lKYV4Wn1itIzs7cI+jHSrtHg3/SChh+FmEOsbP/utCCnITG0QeCVGU2H7Qwu6jToZsGgT1/2/vzMOiKts//j3s+76IKKKCiKiIoqbhkmu5AGrmrpmama+Vvr7qq1Yu9WuxrOw101xKzSUWd7Mgc9dSUUQQAXFFdmZYhmWWc//+gDkxwgyHZQT0+VzXc116Zs45z4Hh/s79PPdSvaEjIvh5yDG1BmfB1dW1So5DWloaxo8fj//973/aOjvWm8LCQhw6dAjHjx9HcnIypk+fjn/961/Vfg6vXLmCa9euYc6cOUJN6RUrVuDNN98EUN6lMjIyEkuXLsWUKVPwzjvv4MCBA3j48CGAf1a0Xn75Zbi4uGDz5s1VGtHpoFkYQwajHjCNRHmRiIkTJ+LOnTsgIvj7+yM0NBSDBg3S+qWtMupcgPz8fBQVVQ3lUZcetbGx0dqngOd55OfnC03YKofbFMiU+GxrDGRFhdWe+yRGxiZYNqc3XBzr19hMjUwmw58Xk3E/2xj30iRQyJUY3MsJPh7lJWXt7Oy05twBwL00GX46UQhU+jJPRDBCKVo5A13bGsKEcuDj41OvL+BFxUqcuy7BzdRSnRWXOL4U88c6wtFOu7NgYWFRpRgMEWHz5s34888/ERERoZeV92akj0Az0UgWklQLSkpKsH79ely4cAEeHh7IyMhAZGQkFixYgKKiIowcORIhISFC9v+TGBgYwNraGtbW1kIuQGFhIYqLi8HzPDIyMpCbm4tOnTrpNBrm5uZo1aqVEG6Tm5uLpKQknLvJ4X6+KziRTcrszYsxabh7nX8elVHHe7Z0tkTv7h3BcRwkBWWwtTIBUXmloEePHqGkpAS2trZwdHSEtbU1eBIZklRNnkRdk9qMjAzRv7sj+nd3rOhQWYDz1/PxOM9Ao0Nle+dCTBrmofNaLi4uVZyFjIwMTJgwAV9//bXenAUAWLJkCQ4dOoRhw4Zh4sSJ+Oqrr/Do0SN89tlnVd4bGBgorJa4uLhg5syZ+PDDD3HlyhWNLpWjR48GAJw4cQIzZswAUP4lwNTUFImJicjOzkafPn1qawwZDMZzwE8//QR/f39ERkaC53mcP38eERERWL16NTp16oTQ0FAMHTq0SiNLNcbGxnBxcYGLi4uQCyCVSlFYWAilUonbt29rLcuqxsDAQCjJWjnc5kbCAxw+V6DRNE4XBobGmDnWv8GchaKiIqSmpmLwiz6C/ZSVKmFhaijk3CUmJsLIyEgou175i3TKgyLsjiqqsvLPcRxUMMf9HOB+DgCVI1okZeKlHnbo0KZulfisLIzwcl9nvNy3PHzrUpwUV28VIr/E7J+KS6oSvP6KBRxstX/ZNzc3r9ZZ2L59O6KionDgwAG9hekwfWx42A5DLdG2zZSdnY0DBw4gMjISubm5GDFiBIKDg9GxY0dROw8JCQnIysqqc9ffR5kl2HwwB0qYi9oGc7UpxjsTWjVI2TKe53H79m3Y2NgIrey18WRJWc7UBWczXqnxHtd+X6vhNHTz88A707rXe+5A+ZZ4QkIC2rVrh0yJAc5cz4exoQoDu0KoCa4OAats3FxcXKqUSMvKysK4cePw6aefYujQoQ0yv+r4/fffERoaim+//RazZs0CAERERGDOnDm4cOECOnbsiPT0dBQUFMDHx6faa1TuUjlw4EDBGEokErRs2RLHjh3DoEGDhOY2a9euxdGjR7Fq1Sq88sorLCSJwfgHppHQro88z+Py5csICwtDVFQUvLy8EBwcjJdffllUuWqZTIbz58/rrHpXE7/8dg9/X38IubzmhGsjYxO8Pbk7vDxqv4NdHYWFhbh37x68vb1r3GlRl5SVSCRCudbcIjNEnFWIyikAAPBlmDPaDi2dG+aLa2ZmJiQSCby8vHAjpQgxiUUY4G8MTlUohICp+w2pw47Mzc3h7e1dJSRt586dCA8Px5EjR/T2xbqZ6SPQTDSSOQx6IC8vD4cOHUJkZCTS0tIwfPhwhIaGws/Pr0rpMSLC7du3wfM8fH19AZTvZKgbxYntoKkmLasEf1yWICVNBQVV7zy0cSzBm2PdRX2YiQibItOgUhL6drFBd1+bKi3cExMT4eDgICR/i4XneaRlyXHoVu8a3xvz+xqg4rPavUsb/GtKQK3upY3KzoK20qmlpaVCxSUigoODA3x8fKo8b25uLsaOHYvVq1djxIgRDTI/bQQFBcHFxQU7duwQnJaUlBT06tUL0dHR6N69O7Zv3459+/YhMzMTo0aNwsqVK6s10E8atkePHuGVV15BaGgo1q5dC6Bc8Hr16oVBgwbhs88+q215xGZhDBmMesA0UiQ8z+P69esICwvDiRMn0Lp1awQHB2PEiBHVljOXyWSIi4tDx44dhaIi+fn5whD5HUYgITUfZ69kIOV+NspKq+42mJiY4d0Z3dG6hbgCIwl38rHveBLatbbHgJ4t0NZd0zbWlICsC4VCgStxGfjtmvbqiU/C8WV4M9geLZwaZmdE7SxU9+UfKP99FhSU51cWFhbCwsICLVu2RGBgYJXn3bdvH3bt2oWjR4+KappbV5qZPgLNRCOZw6Bn8vPzceTIEURGRiI1NRVDhgxBaGgounXrBrlcjpMnT6JDhw5aw5gqOw/aOmhqIz2nBAf/uIv0fEsoeEuAA1pYZiK0nxUcHBx01l8GysvOrd/7CJLif/6wSSWHs60SvTpZoFcnGyQl3Ra2kOsCzxPiH3CIvWeJ3FInGJraVfu+mN9WAwB6+rfFvEniqg0pVTziUwvR1cum2ueUy+W4desWPD09dbVs10DdiKisrAxyuRyOjo7Iy8tD+/btMX78eCxfvhzBwcGirlVXkpOT4ePjg19//RXDhw8XjoeHh+Ojjz7CRx99hFGjRuHatWu4d+8efv31V2zduhVnzpwRHSL1/vvvIyoqChs2bEBGRga++uorZGZm4ueff0ZAQMAzuXrCYNQDppF1gIhw8+ZNhIWF4fjx43B2dhZ6ITk6OuLq1asoLS2Fv79/tV/C1PkK6sHz4kp8q7mRmImTf6UhI7sUxSUymJqaY9wgB7Rtrb2oSGWuJUrwU8R18Pw/2mxmbgEvT2f079ECrnYqpKWl1SkBWY1cocKFWAliU0ohkRnrdBw4vgxvhdrDxUGcs3D/cRFsbUxhZ1X9NbOyspCXl6fVWXgSIoJKpYKVlRXy8/NhZmYGIoKbmxsuXLiALVu24NixY6KboNaFZqiPQDPRSOYwPEWKioqEJjjx8fEgIgwfPhxr164V1fSktLRUcB7UX1y1oVQqkZiYCGdnZ7i6ukJSIEfKw2J072gNqVQqJITZ2NjA0dERNjaaX6qVShXW7U5DoVz7KgCvUsDWvBQ9O1mhf4A9TIzrXxIt5TFw5Y45MmWOMDBxEOYU89tq9PL3xFuTuom6jlLJ44s9j1FQag6QHK62KvTwMcMLXe1hZGhYJ2cBAJycnGBvb19xDyXS09OxYMECxMbGokePHli8eDH69eunt4oPALBmzRrs2rULZ8+eFUr+KRQK/N///R/27duHM2fOaMT4vvrqqygsLERYWBhsbGwEY6b+29cWYrds2TKEh4fDzc0N3t7e+Oijj+paGrZZGEMGox4wjawnRITExESEh4fj6NGj4DgOWVlZ2LNnD7p06VLjFzAiQkFBgZD3UJPzIJFINL7MP8yQwdrSGGbGPPLy8iCRSDTyIZ5cLb9wPQf7j8bq7ENkbGwKz9ZOCOrhhm4+dvUOAVapeFy5lY+riTJk5RtqFOzg+BLMDXGEq8ici9jbudgRfgM8qWBvZwtfL2cMDGwh7EzU1lkAAFNTU3h7ewv6J5PJcODAAaxfvx65ublYvHgxJk6cWGN1yfrQDPURaCYayRyGRiA7O1toeJOZmYnr16+jf//+CA0N1dkEpzJlZWWC8yCXa5YbVSgUuHXrFlq2bKm16Rzwz+pMbm4uioqKYGVlBUdHR5iZW+GLn9NRohK3ZUhE6Ourwuj+rjW/WQQKhQIJCQkwtWmHhAxnPJLawiDnCAYGWAghQY6OjlpjQTWchSfhlbC3LIOrlQTDXmyFFi7iO2qq8xgqU1hYiPHjx2POnDlo0aIFDh48iLZt22Lx4sW1eubaMHfuXOTk5GDXrl1C8uC1a9ewaNEitGnTBj/++KMQV5mZmYnWrVtj+/btQmMadRv7K1euYP/+/TA1NcWECRPQpUuXKvdSKpVISUlBx44d6zPlZmEMGYx6wDSyAdmzZw/Wr1+PESNGIDo6GiYmJggODkZISAhatGghynkoLCwUnIcnQ3tzcnKQmZkJHx8fnTkRZWVlQj4Bz/Owt7eHg4MDLsbl4+BvcaLDoSytrLF8TiCsrRqmzkx2djays7OhMGqJywlFyMnn8XIPBQx4GSwsLODg4ABbW1ut3yViE3OwIyJOY2dEjbW1NTxaWqODO4f+L/iIdhZMTEzQoUOHKotlJ06cwOeff46tW7fi7NmzOHjwIHbu3KnR+6AhaYb6CDQTjWQOQyMQEREBa2trDBs2DEC5UYqOjkZ4eDguX76Mvn37IiQkBEFBQaJWqsvKyoRSrQUFBcLKeXXxoNpQG9iHaVnYe8oQvKG4/gYN7SyoV/7btGlT7fwVCgXy8vKQm5sLhUIBe3t7jXKt5c5COgpKa15lIV4Fa7NSzBzlCDcn3c6R2kmpjEwmw2uvvYaZM2di+vTptXrO+rB+/Xp8/vnnuHPnjhAHumTJEpw4cQJbtmzBCy+8AIVCAWNjY6xZswbbtm3DxYsXq5QhPHbsGE6ePInY2FicPHkSW7duxRtvvKGPKTcLY8hg1AOmkQ2ESqXCsmXL8OGHH8LKygpEhAcPHiAiIgIHDhwAEWH06NEIDQ1Fq1Y1F+4gIhQVFQmdjR89egSpVFqrlXPgH+2JupiFv29mCjl1NWFjY4v/vtkdluYN4yzoWvlXV1/My8tDfn4+TE1Nq5Rr1eUsPIm5uTkC/T0xfqjuhnjanIU//vgDa9euxbFjx3RWtmpImqE+As1EI5nD0MRQKBRCbeLz58+jZ8+eCAkJwcCBA2uMgZTJZIiJiUGrVq1gZGSE0tKaq0E8SeK9Qhw5K0FeUc1JVsTzGNgVGN5XnCFQqXgY6iiFWlZWhlu3bqFt27aiwoRUKhUkEglyc3NRUlICS2tb/HLGEDKFuJ0Rnid4OhXgrVfb6Xyfvb19lZ2akpISTJgwARMnTsTs2bNF3a+huHnzJmbMmIGQkBCMGDECu3fvxt69e7FgwQKsXLkSwD+JWq1atcLrr7+ONWvWVBv2VlJSgqNHj2Ly5Mm4fv06/Pxq7olRB5qFMWQw6gHTyKcAESE9PV1wHoqLizFq1CiEhISgXbt2Op0HdRPWrKwsuLu7Iz8/v8bQ3uo4eiYNMfEZyM2V1LjDYG9vj2Wzu8HcTJyzUFSsgJWFdt3NyMgQ7ewQkVCuVSqVwsjICBlSYxz84z54XlwxFRNTC7w1KQBerasvgwuUl8KtLkfjzJkzWLlyJY4dO6a33YTqaIb6CDQTjdSrw5CUlITNmzdDIpGgbdu2mDp1Ktq2bVuXSz2XKJVKnDt3DmFhYTh9+rTQBGfw4MFVwnEKCwtx8+ZNdO7cWUgoUigUws5DSYm42tNqVCoeF+OkuJxQNVYSKHcWhvbgMKin9pCnyhQUqbB+XwaUPAd3R0Kfzhbw7/BPTKfaWdBVrUj3fFX4et8j5MrEVSfgeYKHYwHeHl97Z6G0tBSTJ09GcHAw5s2b1yClaatDV4fKyMhILF++HAUFBfDy8sLkyZPx5ptvwsDAQNhuPXz4MF577TVcunQJ3bp10zi/clLWq6++ColEgj/++EMvz4FmYgwZjHpQa41k+lh/MjMzhXLmEokEI0aMQGhoKDp06KBhl4kISUlJUCqV8PX1Fb4cFhcXC2FLZWVltbp3cakSZ65k4WpCFrKz8sCT5pdwZydHLJ3tLzq378jZHFxNAUwN5GjjCvTtagPPlv/oWUZGBvLz8+Ht7S0q5/FJku/lYOOeG+BFVl40Nil3Frw9au8snD9/HkuXLsXRo0e1NthrCLRpZDPTR6CZaKTeHIaEhAT06dMHQUFBsLa2RlRUFDp27IjXX38ds2bNqtMH/nlGpVLhwoULiIiIwB9//AFfX1+EhoZi2LBhOH/+PPLz8zFixAitDXGUSqXgPBQXF9fq3jKZDCfOpOCh1A5ZUmMQZ4SA1pnw8zSotj/Bk0gKFPhqfxaU9MQfNpXBzY5HgLcxLLh0eLWvm7OgRqnkcTEuH1cSi5AlMQRnpL2EXSs7Cd5+zUvn9ezs7Kpso8rlckybNg2DBw/Gu+++qxdnoTYdKu/fvw8nJydh6/XevXswNTWFm5sbBg0aBDs7O+zZs0er43Hr1i0EBARg7969GDNmTIM/SwXNwhgyGPWgVhrJ9LHhyc3NxcGDBxEZGYmMjAwMHz4cY8aMgbe3N7799luMHDkSPj4+Wm12SUmJ4DzUZneeiHDn7n1cTyrGnTQF0jPz4GBnheC+JrCzs63Sn6A6DpzKRuxdgypzM0QZWjvx6OCmgKO1HF5eXvX6bDzMKMKZK5m4lZqDgoJCrWFVxibmeHNCAHw8te/WGxkZVVsq9q+//sLChQtx5MiROveVqgmxGtlM9BFoJhqpF4dBLpdjxowZsLS0xNatWwGUJ+nMnTsXaWlpmDx5MhYsWMCMYh3heR5XrlxBWFgYIiIioFQqsWjRIkyaNElUuTKVSqXhPOj6DBQVFSElJQU+PuXdKYkI0kIF7G1MhP4Eubm54DhOiPOvbEBypAp880s2VKih/jSvgLOtAj07miMoQNyuhS6ICFdvFeJinBSPcznA8J+eFM5mmVgwuYPOZDdbW9sqpWIVCgVmzpyJF154Af/5z3/0trMwb948oUNlly5dsHHjRowfP77aDpWVKSsrw7p167Bq1SqEhITgwIEDOHDgAEJCQrSe8/7772Pnzp1ITk7WW8dNNBNjyGDUA9EayfRR/0ilUhw+fBhhYWG4du0aunXrhmXLlqFbt26iKxKqnQddu/NEhPv37wMA2rRpU55Hp+LBAeA4aPQnsLS0FCoSVp5DWHQW4h8a1qgnhiRHCwcVhve2ResWdevgXJnsvFKcvpqBuNtZkEoLhO8BRsbmmBbaEd18HLXOSZuzEBMTg/nz5+PQoUPw9PSs9xy1UReNbML6CDQTjWyYLJwnMDExgUQiEZJWVSoVnJ2dsXXrVrzzzjvYt28fvLy8MHLkSH3c/pnHwMAAvXr1wr1793DhwgWsXbsW0dHReOWVV+Du7i7E7mlLejY0NIStrS1sbW2hUqkgk8lQVFRUxXkoKChAamoqOnbsKHjgHMfB3qb8D8fMzAwtW7ZEy5YtIZfLkZubi5SUFKhUKjg4OEBlaIMfDheB50Q0qzEwRqaUQ15+7baFtcFxHPy9zWGivIfWrVsjXWKM87H5UClLMaK3FRISEmBoaCg4OZWNQXXOglKpxJtvvonu3bvr1Vn4/fff8dNPP2l0qPT09MScOXMwc+ZMnR0qTU1NsXLlSnTt2hWbN28GUG7wlEolRo0aVcW45+bmYufOnXjjjTf0bQwZDEYFTB/1j52dHcaNG4e9e/di4cKFcHd3xzfffIPbt29j8ODBCAkJQWBgoFbnwczMDC1atECLFi0gl8shkUgglUo1dueJCKmpqTA2Nkbr1q0FTTCqlKdnZ2cHOzs7oahIXl4eHjx4AAsLC9jb2+O3y0okZxhDjJyoOBNk5kgF/a0vzg5mGBhgBb9WJXBz74pz17JxMzkXg19wg7WRFHFxj2FjYwM7OzsNJ8fIyAje3t5V9CQ2NhZvv/02IiMj9eos1FUjmT7WnwbfYeB5HiqVChMnToRcLseRI0cAQMhKz83NFZqyHDt2rI7TZgDljUiGDRsmhPEQEeLj4xEeHo5jx47B0dERISEhGDVqVJUKP9XB87zgPKSlpeHu3bvw9fWtU3fK26nZ2HOSAENxNaFVKgX6+fEY1b9h4h3VpWVbt24t9E14kuo6OHt6elYxdiqVCvPmzUPbtm2xZs0avTkLQMN2qMzIyMCHH36I9PR0fPLJJ/Dz84NcLheM3759+zBjxgzcuXMHrVrproJRT5rF6gmDUQ9EaSTTx6eHRCLB6dOnERoaKhwrLi7GiRMnEB4ejri4OAwYMAAhISF44YUXRFVMUigUQpnVGzduwMzMDO7u7rXSBHUloz2/5yC9QHwIrhEvwcJJrWFh3jBfXnNycpCdnY0OHTro7OAslUpRUFAACwsLODs7IzAwsEoTvfj4eMyaNQu//PJLQ5QY1UlDaWQT0kegmWik3nIYLl68iBdffBGff/65UJNe/cu4evUq+vbti4sXL6J79+46r5ORkQErK6u6tNp+rlEneYWHh+PIkSOwtLRESEgIRo8eDRcXF50GLjs7G3fu3IG3tzfkcjmKi4tr3UEzW1KG6L8luP1QjlKluc5tYJVKgQFdeIwIEucsqFQ8lCqCqUn1Bl6pVCIhIUGns/AkCoVCSHqTy+VwcnICz/No27Yt3nvvPTg7O+OTTz7Ra5iAPjtUqpO4du/ejd9//x2hoaHYuHEjnJ2dsW/fPr09UwXNwhgyGPWgVhrZUPoIMI2sK6WlpYiKikJYWBhiYmLQt29fjBkzBi+++KLOcFWe53Hjxg1YWVnBzs4OUqkUhYWFtb5/0v0iXIwrxIMsHirOFBynXVuMeQkWTvaAuZm4hqA50jI42ppo1fmcnBxkZWWhQwfdoblqiAilpaWwtraGTCaDubk5rKysYGtri5ycHLz++uvYs2cPOnfuLGp+dUVfGtnI+gg0E41skJCkBw8eIC4uDunp6RgxYgSsra3Rp08ffPTRR1iyZAlMTU2xYMECjW0dMR12b926BT8/PwwePBiHDh3SmtDLqArHcfDx8cGKFSuwfPlypKamIiIiAlOmTIGJiQlGjx6NkJAQuLm5aRiVzMxMPHjwAD169BBqKhMRiouLUVhYiOLi4ipNcKrD2d4Uk4aXd1nMkZbh1FUpbt0rg0xuCgPDfz52KqUcg7oShtfCWfji50eQFpvByrQUXduZ4qWejrCyKL+m2llo1aqVaGcBKO+zoO4KqVQqkZOTg0WLFiEmJgYuLi7YsGGD6GvVlb1796J9+/Ya3SIVCgXi4+NRVlaG3r17AwACAgIQEBCAn3/+GUOHDkXXrl1rvLb6d/zSSy/h0KFDmDRpEhQKBWbNmoX09HS4ubnp56EYjOccfekjwDSyPpiZmWH06NEYPXo05HI5Tp48ifDwcCxevBi9e/dGaGgo+vfvr/F7UalUiI2NhbOzs5DQ6+TkBJVKJeQ8FBQUiLp/hzZW6NCm3Mm797gE529IcTdDBSVvBq7SwpQxn4dFk9vATKSzcPVWHnZFXIeBoQHc3ZzQu6srXvB3FEKlaussAOVhzN26dYOFhYWwQ3Lq1Cl88MEHyM/Px5w5c6qE8eoDfWkk00dx1HuH4caNGxg2bBjc3Nxw9+5dWFlZYdKkSXj33XfRsmVLvP/++/j000+xePFizJw5E/b29vj222+xf/9+nD9/XuuHLCMjA+PHj4e5uTkSExPh6+uLAwcOMINYT4gIDx8+FOpY8zyPUaNGITQ0FMeOHYODgwPGjRun1ZCoazuru0yLcR7UyGQyxN5MRnqhCxIfKlFQbIhubfLg20oFa2vrahPCKqN2FvJLNSs3EM/D3LgUHT0M4W6TDV/v1lU6MuvCysqqikHgeR7//e9/UVZWhpEjR+LgwYMgIvz444+ir1tb6tuhUqVSwdDQEGVlZYiPj8fFixcRFBRUbbt6pVKJHTt2YOXKlTAyMsLBgwfRs2dPfT1as1g9YTDqQbUaqS99BJhG6gulUonTp08jPDwcZ8+eRUBAAEJDQxEQEIBPPvkES5Ysgbu7u9bzVSoV8vPzhSG2G7Q6gTonn8edLAukpilBfDFG9JDD2Ki8qIi9vb3Wij4AcCU+D7sPXK9S4tXAwAhurg7o1N4GHo7F8Ouku8O15rkG8Pb2rvK5unfvHiZNmoTVq1cjNTUVhw4dwurVqzFw4EBR160LT0sjn7I+As1EI+vlMEilUgwZMgSDBg3CsmXL4ODggA8//BBRUVHCqqyHhwd+/PFHLFy4EBYWFrC0tERxcTEOHz6sc7v10KFD2Lt3L9555x2YmJhgzJgx8PPzQ2RkJDOIDYS6CU5kZCT+97//QaFQYOrUqXj11VdrbIKjprLzoFRq7xyprrZUOYGa5wkGBhx4nkdhYSFyc3NRUFAgVJOo3Npem7NQ3TOZGpbAu5Uhxg50hbmZ7rhUbc7CqlWrIJVKsWXLlqdWraShOlROmTIFf/zxB9q1a4fY2FgMGzYMW7Zs0dppMy4uDk5OTvpcRWkWxpDBqAdVNFKf+ggwjXwaqFQqnD9/Hrt370ZERAT69u2LKVOmYMiQIaJ+xjzPazgP2kJ7q6u2VBl14rVEIoFSqYS9vT0cHBw04vKvxOdi94HYKs7CkxhwhnBytsfAnu4I6q57V8DAwABeXl6CHql5+PAhXnvtNWzZskVY1X8aNIZGPgV9BJqJRtbLYXjw4AH69++PzZs3a8ST7dixA1u3boWnpyfWr18PV1dXpKWlIS4uDgYGBujUqVONSSRSqRR//fWXcN3Lly9j7Nix8PX1RWRkpBCvWbnBBqNufP311zh16hQ2bNiAX3/9FZGRkcjLy8OIESMQEhKis3Z1ZUpLSwXnoXIHzcLCQty5c0fDWdBG5WoSUqkU5ubmsLd3xPZfi1FQJq6DMwA4WhZj0eRWOudtZWWFFi1aVGnw8/HHH+PRo0fYsWOHqES4hqK+HSpVKhU++ugjfP311/juu+/w6quvIikpCePHj8f777+PSZMmPbVneQL2B8p41qmikfrUR4Bp5NMiJycHo0aNwvLly+Hi4oKwsDBERUXB29sboaGhGD58uKj8ESISkoilUqngPKg7UBsaGsLDw6PG35VSqYREIkFeXh7kcjns7OxwP9sIYccTQCQu19DQ0BjzJndHB0/tSdccx8HLy6vKsz1+/Bjjx4/Hhg0b0K9fP1H3ayiYRjYu9XIYHj58iCFDhuA///kPZs+eLWwFAcCmTZvwv//9D0uXLsX06dMbZLJXrlzBmDFj0KlTJ2EV5YcffkCXLl3Qp0+fBrnH88i5c+fQu3dvIWcBAPLy8nDo0CFEREQgPT0dw4YNE372Ylbcy8rKUFhYiPT0dCQmJopyFp5E7Tx880sOSvia43nVOFjI8O8prXUaXktLyyr5G0SEdevW4fbt29i1a5foLdu6oI8OlVeuXMHLL7+MlStX4r333hOOT548GdnZ2YiKitLb89RAszCGDEY9qKKRT1sfAaaR+qCkpASxsbF44YUXhGM8z+PatWsICwvDb7/9Bg8PDwQHB2PEiBGick/U2iaRSBATEwNDQ0O0aqV7gas6lEolzl19jANRyaKdBQNDY7w1uTs61sFZUIfBffHFF3jppZdqNdfaoE0fAaaRjUmtHQalUgkiEr5cTpgwATdv3sTp06eF5B/1quy4ceOQnp6OCxcu1HiDyolhI0eOhK2tLSwsLMDzvMYXVLVB7Ny5M1q1aoVt27YhJSUF7dq103rtpKQkbN68GRKJBG3btsXUqVPRtm1bMc/NAJCfn48jR44gIiICd+/exdChQxEaGgp/f3+dzoNEIsHt27fh6+sLpVIJmUwmVCISi0rF4+94Kf6KlyFTagjOUHeJV3tzGRZPrZuz8M033yAmJgZ79+7VcJ4aEn11qJTL5fjkk0/w9ddfQyKRAPgnXvPll1+Gs7Mzdu3a1Virjc3CGDIY9YAA/ekjwDSyqcLzPG7evImwsDAcP34cLi4uQjlzXbl06jLoZmZmcHFxEZq86QrtrY7SMiXOxmTjys1MZGblgee1hyQZGBrjrUnd0bGtbmehffv2VZrAZmdnY+zYsfjkk08wbNiwWs1RLGL1EWAa2RjUymFISEjA6tWr8fjxY3h6emLSpEkIDAzE8OHDYWNjg19//VUjrm/Lli3Yvn07zpw5o7PxhbbEsPnz58PT07OKQbx06RL69u0Le3t7REVF6Yz1TEhIQJ8+fRAUFARra2tERUWhY8eOeP311zFr1izWTbOWFBYW4vjx4wgPD8ft27cxaNAghIaGVmmCk5eXh+TkZHTr1k2jj4NcLhe6TJeWltbq3kSEa7cLcP5GAdJzDYEnnAc7syL8e0prGBpq/51aWFigZcuWVZyFTZs24ezZswgLC9NrkxZ9dagsKipC//790adPH2zcuFEo0aj+chESEoIPPvigsUITmoUxZDDqAelLHwGmkc0FIsKtW7cQHh6Oo0ePwtbWVihn7uTkJNhfnucRHx8PS0vLKo6cTCaDVCqFRCLRCO0Vg1yhwoXrObgcl4m0jDzwqn/ONzA0wpsTAtCpvZ3W8zmOQ7t27YTeTmpyc3Mxbtw4fPjhh3ptKFgXfQSYRj4tRDsMSUlJ6NWrF0aNGgUvLy9ERUWhsLAQvXv3xsyZMzF37lxYW1vjhx9+QLt27WBubo4333wT9+7dw5EjR7Q2/9KWGBYdHQ0nJyesX78e7du3F7w+lUqF+fPnY/fu3fj777/RqVMnrZOWy+WYMWMGLC0tsXXrVgDlXvLcuXORlpaGyZMnY8GCBcwg1pGSkhKhCc6NGzfQv39/hIaGIjMzE8nJyXjvvfd0Nn1TKBSC81BSUiL6viqVCgkJCZCpHHDtDuFhNgdLkzKM7lkMDiR0b35yS1Obs7Bt2zacOHECBw4cqHWTutqgru9cuUNlREQE5syZg4sXLwpdKSuHLlTm8OHD2Lx5M3799Vd07txZMN5mZmYoLCyEra0t/vzzTwwYMEAwhps2bcK2bduwdOlSjB8/Xm/PVgPNwhgyGHUlKSmJ9KGPANPI5goRISUlBRERETh8+DBMTU0RHByMV155BWvXrsXChQt1/m6A8kZz6pyH2uzO5+XlIS3tMfIVzvg7LhsZ2VK80tcFjlalsLCwgIODg0ZRETXt27ev4ixIpVKMHTsWy5Yt02iC19DUVx8BppH6RlSQNhFh586dGDJkCHbv3g2gPDP9hx9+wLZt21BQUIA9e/bgrbfewogRI+Do6Ah3d3ecPn0a586d02kMCwoKkJOTg8GDBwvbd6tXr4anpye2bduGDz74AF9++aVQI//cuXO4ePEiTp06VeMfm4mJCSQSCezs7ACUf9F0dnbG1q1b8c4772Dfvn3w8vLSq8f8LGNubo4xY8ZgzJgxKCsrQ1RUFD777DPExcVh1KhRQnMibeE9xsbGsLe3h729PZRKpeA8FBcXa72n2llwc3ODk5MTXuhWflwtlgqFArm5ubhz5w6USqXgPDg6OlZxFgBg586dOHr0KA4dOqRXZwEA1qxZg5dffhmvvvqqcMzf3x88zwu7LefPn8euXbtw48YN9OnTB8uXLxe6dAcHByM4OFjoUPnTTz+hU6dO8PX1RUpKClq0aCFstapXLPfv3w9vb2/0799fr8/GYDyvcBzHrVixQi/6CDCNbK5wHAdvb28sW7YMS5cuxf3797F//34MHDgQXl5eOHnyJGxsbHR2irawsBAWukpKSgTnQdfufF5eHtLT0+Hr2xFGRkYI6u4qvKbuoVDuUKTBzMxM0GBvb+8qzkJBQQHGjx+Pf//733p1FoD66yPANFLfiFo24DgOaWlpSE9PF45ZWFhgzpw5ePvtt5GUlIRDhw7h/PnzWLZsGYYNG4aePXvi8uXLohpmmJqa4uHDhwAgxO/NnDkTU6ZMQWxsLH7//Xfh/T169EB0dDQCAwN1XpeIoFAoYGlpiUePHgEobz6iUCjg4OCAb775BkSE7777TsyPgFEDpqamMDQ0hEwmw/Xr1/Haa6/h4MGDePHFFzF//nxERUVBLpdrPd/IyAh2dnZwd3dHu3bt4OLiAgsLCw1D+qSzUBn1+4yNjdGiRQv4+fnBz88PZmZmQjO6O3fuoKCgQKiL/fPPPyMsLAwHDx6s0ja+oUlOTsaFCxcwd+5cjaS4a9euwcPDA2VlZThw4ACmTp2Kq1evYvr06bh06RLGjRuHoqIijWu1aNECmzdvxuHDh+Hr6wsA6Nq1KwICAvDbb78BKBeNNWvWICkpCRMmTICrqysYDEbDQ0SkL30EmEY+C6ir9ly4cAHLly/H/v37YWZmhrlz52LIkCH46quvkJqaqrNng7m5Odzc3ODr6wtfX1+4ublV0S2JRILHjx/Dx6f6Pgscx8HKygoeHh7o3LkzWrZsidLSUkilUqSmpuLx48dCGFRRUREmTJiA+fPn633lvSH1EWAaqTeISOdAedgSbdiwgXr16kVxcXFUGalUSosWLaJu3bpRYWEhiUGhUJBcLhf+/9prr1GnTp0oOzubiIiUSqXw2tixY6lPnz5ERMTzvKjrV37vpUuXyMDAgNatWye8VlZWRkREV65cIRMTE7p69aro6zK0c/v2bcrLy9M4plAo6OTJkzRv3jzy8/OjKVOmUFhYGOXm5pJMJqtxFBQUUHp6Ot26dYt+/vlnio6OpuvXr4seiYmJVFhYSAUFBZSamkqXLl2iXr160ciRI8nf35/y8/Ofys9m9erV5OXlRenp6cIxuVxOq1atIl9fX4qPjydPT0965513KCsrS/h5enh40Pbt24VzeJ7X+ncQGRlJrq6u5OfnRz169CB7e3vatm1brf5u9ESNdoYNNprjqNBHNKQ+EjGNfBbheZ4uXbpU5VhGRgZ99913NGTIEOrZsyd9+OGHFBMTQ0VFRaI0UiKRUGpqKkVHR9P3339Pp06donPnzokejx49IplMRllZWXTz5k367LPPqGfPntSjRw/6+uuvn8rP5mnoIxHTyPqOGncYiMqt4ogRI5Camop169ZBKpUKr9va2mLx4sWIjY1FdHS0hiNSHQkJCZgyZQoGDRqEadOm4fjx4/j2229hYmKCcePGobi4WCOubvjw4eB5HnK5vMZklOLiYsE75rjyhmC9e/fG//3f/2Hp0qX49ttvAUAjwczT01NUGTSgvKRYdd4so5wOHTrA3t5e45iRkRFeeuklfPfdd4iNjcXcuXNx9uxZDBgwADNnzsShQ4d0hiAZGhrCwsICWVlZ6N27Nzp37gwrKytRiUlmZmZwd3eHgYEBDA0N4erqii5dumDevHnIzc1F586dERQUhI8//rjez14TaWlp6Nq1q8aWb1xcHM6cOYOePXviypUryM3NxfLly4XmMR06dIChoSGysrKEc65evYolS5Zg5cqViIuL07jHmDFj8PDhQyxYsAAzZszA33//jTfeeIPVYGcw9ERD6yPQfDWS6aNuOI6r0uSM4zi4urpi3rx5iIqKwvHjx9G6dWusWLEC/fv3x8cff4yEhASdnxcTExNB48aNG4c2bdqI6gsBlP9u1ZptaWmJtm3bYtasWXBwcEC7du0QGRmJl156qYrWNDRPQx8BppH1RXQmU/v27fHLL79g//79+O9//4vMzEzhNWNjY3Tr1k2IgwRQ7S8gKSkJffv2hbGxMQYPHozU1FQsW7YMK1aswMaNG5GXl4chQ4YgPj5eSIK9cuUKbGxsdP7BAEB8fDwGDBiAY8eOCQ1R1Ilab7zxBlasWIGFCxdi6dKlSExMRGZmJg4cOACe56uUD6uOW7duoWXLlhgzZozOL7gM7RgaGqJfv3745ptvEBsbi0WLFuHq1asYPHgwpk2bhoiICBQWFmqco1Qqcf36dbRq1Qpubm6wtraGm5sb2rdvDzc3N1hZWVWbkGdqaoqWLVtWee3YsWPYvHkzjh07ht27dyMmJgYTJ07U63MDgI+PD86fP6/xOd67dy+ysrIwffp0/PDDD5g+fTpcXV2hUpWXxUtJSYGdnZ3Gl4PMzEzwPI9Lly7B398f27dv17iPsbEx5s6diwULFsDLy6vGvxsGg1F/GkIfgearkUwfGwYnJyfMmjULx48fR3R0NHx8fLB27VoEBQVh1apViI2NrdItOjs7G3fv3kVAQAAsLCzg4uICb29vdOnSBa1bt9b6u2vTpk2VBb6ysjJMmzYNo0ePxv79+3H69Gns2bMHHh4eentm4OnpI8A0sl6I3IoQOHz4MJmamlJwcDDt3LmTbty4QUuWLCFXV1d68OCB1v0WnudpxYoVNG7cOOGYTCajr7/+mrp06UKvvfYa3bhxg/r27UseHh4UEBBAo0aNImtra4qNjdWxk0N079498vX1JUtLS3JxcaEjR46QSqXSeI9UKqWffvqJ7OzsqGXLluTt7U3u7u6itlrT09MpKCiIhg4dSq1bt6Zhw4aRTCar8TyGOFQqFV29epWWLVtG3bp1o9GjR9PWrVspMTGRJk2aRMnJyTq3ZIuKiigrK4vu3LlDcXFxdOvWLSooKKjyvoMHD1LPnj2Fbf2nSVxcHHXv3p1Wr15Nly9fpnfffZecnJxo3bp19PDhQ+I4jv7++2/h50FE9OOPP1KPHj1o//79GtcqLi6mX375hYyMjOjmzZtP/VnqQKNvpbLBhp4HEdVdH4mar0YyfdQ/+fn5tGfPHho3bhx17dqVFi5cSKdOnaIdO3bQxx9/TFKptMbQ3gcPHtCNGzfo/Pnz9ODBg2pDm4KDg2n9+vVPPUTnOddHosa3X6JGrYyhmqtXr9LAgQOpdevW1K5dO/Lx8aGYmJgafyKvv/469e3bV+OYTCajTZs2Ubdu3Wjt2rVERPTdd9/R0qVLafXq1ZSYmKjzmnK5nL788ksKCQmhpKQkmjZtGtnY2FRrEImIHj16RL/++iv99ttv9PDhwxrnTER08OBBmjBhAp0/f54uX75MrVq1ouHDhzOjqAd4nqcbN27QsmXLyNHRkYYOHUqbNm2q1sBpcx4KCwurHD969Cj16NGDMjMz9Tr/kpISra9FRESQj48Pubm5Ub9+/Wjjxo1ERPTLL7+Qh4cH3b9/X3ivTCajGTNm0IABAyg3N5eINOOWx40bR4MGDdLTUzQ4jW7o2GBDz0OgrvpI1Dw1kunj00Umk1FYWBgNGDCAXF1dae7cuRQVFVXtIpk2jXzymFQqpbFjx9Knn36qV2eB6aNWGtt+iRq1NoZq8vPz6e7duxQXF1fjiq36A9jQiWFqfv/9dwoLCxP+P3XqVLK1taUjR45ofIgq/7s2SCQSOnHihPD/v//+m1q1akVDhw7VmG8TSJx5JpDJZDRo0CDavXs33bp1i9auXUu9evWiIUOG0IYNG+ju3buiE8JkMhmdOHGCAgIC6PHjx3qbc0FBAe3atYsmTZpEgYGBtGHDBq2fh3v37lFRUZHw/zNnzpCdnR1FRUUJx/bs2UM9evSgTz/9lIhIQ9gTEhLI1NSUIiMj9fQ0DU6jGzo22NDz0KA2+kjUvDWS6ePT57fffqPevXvTo0eP6NChQzRt2jTy8/OjN998k3799VfKz88XrY/5+fk0YcIEWr16td5+R0wfa6Sx7ZeoUSdjWFdSUlLIycmJpk+fThKJROO1x48fE8dxdODAAeGYrg+vQqGg0tJSra9PmzaNbG1t6ejRo6RSqUilUlFUVFSVKj41Ud0KDBEJKynDhg2joqIi4nmeNm/eTBcuXGiQ6z/PKJVKOnv2rMYxnucpOTmZPv30U+rTpw8NGDCAvvzyS0pJSdHpPERHR5O/v7/o3aS68tZbb5GbmxvNmDGDvvjiC2rbti0tWbJE1LmlpaU0cuRImjZtGsXExNCOHTvI2tqaZs+eLcy7spCvXLmSPDw8hEomzYBGN3RssKHn0SA0N43Utz7qusfzTHWOaFlZGR0/fpxmzZpFnTp1ojfeeIMOHz5MEolEZ6jStGnTaMWKFXp16Jg+1khj2y9R46kaQyKikydPkqmpKb311luUkZEhHM/OzqaAgAD6888/a7xGfHw8vfbaaxQUFETTp0+nPXv2CK9VLkWnNogHDx6k2bNnU8eOHUWFpMhkMo3raENtFF9++WWaPXs2cRxHd+7cEX394uLiGt/LqArP83Tv3j368ssvKSgoiF588UX69NNPKTExUcN5OH36NHXt2pXu3bun1/n89ttvZG5uTlu3bhWOhYeHk729vUa4gEKhqPZZiIiuX79OAwYMIDs7O+rduze9/vrr1a725eTkkIeHB61atUoPT6I3Gt3QscGGnkeD0dQ1Ut/6WPkeTCPrhlwup+joaJo7dy516tSJpk2bRhEREZSXlyfoY2FhIc2aNYsWL16sV6eM6aMoGtt+iRpP3RgS1S8x7Pbt22Rra0tTpkyhDz/8kPr27Uv+/v40c+ZM4T2VPcvp06cTx3FkbW1Nly9frnFuN2/epMDAQDpw4ICoP6KLFy8Sx3Hk4OAgKoE6Li6O+vfvT4GBgdS2bVvauHEjJScn13geo3p4nqe0tDTasGEDvfTSS/TCCy/QRx99RGFhYdSlSxdKSUnR+xxefPFFGjNmDEmlUuFYcnIy2dra0vXr14mI6Ny5czR37lzq06cPLVq0iHJycqq9VnZ2dpXQqcqf571795KJiYned0wamEY3dGywoefRoDRVjdS3PhIxjWxolEolnTp1iv71r3+Rn58fTZw4kfbu3Utz5syhBQsW6H0Hh+mjKBrbfokajWIMieqWGKarioSfnx9NmDBBOK5QKEilUtH8+fPJwcGB4uPja5yTmEoSlVEqlTR37lyytLQUdf3U1FSyt7en+fPn0/bt22np0qXUokULmjRpUpUQHEbdyMjIoE2bNpGnp6dgjPRJUlIScRynEcNLVJ6o1aVLF/rrr78oMjKSPD09KTAwkDZt2kR9+/alAQMGiI5F/vnnn4UVokGDBml8zpsJjW7o2GBDz6PBaWoaqW99JGIaqW9UKhVduHCBXn/9derXr5/enQWmj6JpbPslajSaMSSqfWIYkfYqEt9//z35+/vTf//7X+H49u3bieM4unLlSo3XrW0lCSKiU6dOUdeuXUXtXBARrV+/noKCgjSOhYeHU+/evWnMmDFC2TBG86GhOlTq4tGjR/Tqq6+SiYkJcRxHs2fP1msCtx5odEPHBht6HnqhqWjk09BHIqaRzxpMH0XT2PZL1BDduE0f2NjYwNPTE507d4aTk5PO9xKVN9fo3r07lEolbt68KbxmYWGBiRMnYvDgwYiOjkZ2djYAoGvXrkhNTUWPHj1qnIuxsTG6dOmCqVOnwtvbGzt37kRwcDCmTp2K48ePC81CKhMQEIDo6GgEBgaKel6e5yGRSJCfny88z7hx47BixQqkpqZi165dKC4uFl5jNH0aqkNlWVkZYmJisHHjRsTGxmrcw93dHWFhYZDJZNi8eTMOHz6MwMBAXL58+ek8JIPBaBSaikY+DX0EmEY+azB9fMYQ6Vk0GWpbRaIm6lpJoi7Nv/bv30+mpqZ06dIlItKMvduxYwcZGxuL2g1hNB2+/PJLcnV11SgDt3jxYurcuTNFR0dTUFAQzZ8/n4j+qeSQnJxM3bp1o3Xr1gnnTJ48mVxdXalPnz5kYWFBoaGhwopLddy4caM5raI0+soIG2zoeTQZGlIjn6Y+EjGNfNZg+iiaxrZfokazM4ZEDVNFgkj/1ZaqIyQkhNzd3YV5VzbGHTt2pM8++6xO12U0DnXtUBkQEEARERFERPT++++TnZ0d7dmzh+RyOd28eZN8fX01Po/NnEY3dGywoefRpGjqlZZ0wTTy2YHpo2ga236JGs3SGBLVr4oEkf6rLSUmJtLChQtpwoQJ9Mknnwjn3Llzh3r27EkeHh4a5T5LSkooMDCQtm3bJur5b9++LfxBMRqXunSo7N+/P+Xn51NcXBzZ2dnRV199pXHNSZMm0ZAhQ57mY+iTRjd0bLCh59HkaKqVltQwjXw+YPooisa2X6JGszWGRHWrIkGk/2pL8fHxZGtrSyNHjqTJkyeTs7Mzvfjii/TNN98QUXlpun79+pGtrS19++23tHPnTlq6dCk5ODiIKgOalJREFhYWxHGcaOPJ0D9iO1R2795d2G5Vr56oUW/LDh8+nKZOnUpEz0SH1EY3dGywoefRJGlqlZbUMI18/mD6qJPGtl+iRrM2hkR1qyJBpN9qS9OnT6dZs2YJx+7evUuzZ88mf39/YTu1qKiI3nvvPerYsSN16NCB+vTpI8rZkUgkNH78eJowYQItWbKEDAwMaMuWLWIfm/EUEdOhsmvXrvT2228T0T8rdo8fP6aAgABatWoVM4ZssNE8RpOlqVRaUsM0kkHE9PEJGtt+iRrN3hjWFvUHbMOGDdSrVy+Ki4vTeF0qldKiRYuoZ8+eQlLNlStX6O7du6LvMXToUGHrVn2/tLQ0+te//kU9e/akn3/+WXhvWloaSSQSjaYmukhJSaF3332XDh06REqlktauXUsGBga0efNm0fNj6B9dHSrV8b/5+fnEcRydOnWKiP4xiN999x316NGDfvnll8aZfMPT6IaODTb0PJ4JnoY+EjGNfN5h+liFxrZfosZzZQwr09DVlojKt8vkcjnNnDmTgoODqaioiHieF5J57t27R0OHDqXRo0cL59TFQ05KShL+XVZWRmvWrKliEFUqlWgD+yT6bubyPFJdh8qYmBhyc3Or8jkbMGAATZw4USNZsZnT6IaODTb0PJ4p9KGPRM+GRjJ9bHiec30kanz7JWo8l8ZQTUNVW1IoFBr/P3XqFBkaGtKXX34pHFMbmUuXLhHHcXTt2rV6z19tSBUKRRWD+O9//5s+/fTTKnPThkwmI7lcTsXFxfWeF6Nm1CI5YsQIeuutt4iIKDc3l1avXl2tkWzmNLqhY4MNPY9njobSR6Lmr5FMH58uz5k+EjW+/RI1nltjqKYhqi198MEHGisaRERffPEFGRgY0KZNmzSO37x5kzp16kS3b98WNb8nK0lcvXpVeE2dAERUbhDXrl1Lpqam1LdvX+I4jq5fvy7qHnFxcdS/f38KDAyktm3b0saNGyk5OVnUuYz6ERkZSa6uruTn50c9evQge3t72rZt27MUm0nUBAwdG2zoeTyT1FcfiZq/RjJ9bDyeE30kanz7JWo818ZQTV2rLSUnJ5OTkxNxHEfvvPOORhynTCaj1atXE8dxtHTpUvrrr78oKyuLli1bRu3atRO1nVZdJYmgoCCNVZnKBrGoqIj8/f3JwcGBYmNjRT17amoq2dvb0/z582n79u20dOlSatGiBU2aNInOnj0r6hqM+iGXy+n777+nDRs2PKtC1OiGjg029DyeWeqqj0TNXyOZPjY+z4E+EjW+/RI1nntjqKa2lSSKiopo1qxZNH36dPr+++/JwsKC3n77bQ2DqFKpaOfOndSiRQtydXUlHx8fcnd3F2VsdVWSCAgIoI8++kjjPiqVihYuXEgcx9GNGzdEP/f69espKChI41h4eDj17t2bxowZIzRVYTw92OoJG2w0u/FMU5dKS8+CRjJ9bHo8g/pI1Pj2S9QwAgMAYGNjAxsbG9HvNzAwQEBAABwcHDBp0iS4urpiypQpAIDFixejbdu2MDAwwLRp09CvXz88ePAAJSUl6Ny5M9zd3Wu8vrGxMdLT09GqVSsA5Y6dp6cnVq9ejU8++QSHDx+Gp6cnpkyZAgMDA6SlpaGkpAQxMTHo0qWL6OfgeR4SiQT5+fmwsbEBx3EYN24cTExM8P7772PXrl3w8/ODubk5OI4TfV1G3WE/ZwaD0ZSorT4Cz4ZGMn1serCfcyMi0rNgVEPlJiRE5R0NLSwsaN68ecIqikKh0OhkKIa6VJIgKu+EWVv2799PpqamdOnSJSLS7N65Y8cOMjY2Fl1fm8HQQqOvjLDBhp4Hoxqau0YyfWQ8JRrbfokazBg2AEqlUtgmCw8PF7Zek5KSaNGiRTR27FjBoOniaVaSqDyXsWPHkru7uxAzWlpaKrzWsWNHoZEOg1FHGt3QscGGngdDB81NI5k+Mp4yjW2/RA2OiBp7k+OZgCvfJ+OIiOc4biyA7QByAXgA6ElE12s4vwOAKQB2E1FypeP/BvA5gPlE9H2l434AfgEwhoiSRM7RFYApET2o+L9BxXz9APwAwB1AfyK6X/G6GYCzADYR0XYR1+8AoDMRRYqZD4PBYDCeD5q6RupbHys9A9NIRrOE5TA0EFTueRHHcRwRRXIc9xaAHgACiOimrnM5jvMCcB6AIwA7juO+IqJ7FS9vAmAJ4DuO4zwBRAK4C2AqADMA+WLmx3GcL4AYAH9yHPcmET0iIr5i7vEcx70DYB2AWI7jVlZc1w9AOwCnRVzfG8A1AOYcx80Wa0AZDAaD8ezTlDVS3/pYcQ+mkYxmDdthaGA4jjNEuWF5D0A3IrpRw/stAXwDwBjABQDrAfwIYJ3aIHIcZ4DylZXPAXAApACsAIwmomsi5uQKIAJAEYBuAK4CmEtEj554nwOA5QBGAjBA+erP/JruwXGcHYAtAHgA9wEsBvAWEf1Q09wYDAaD8fzQ1DRS3/pYca4dmEYymjlsh0E/xAPoXpMhrIBH+apDHhHt5TguE8DPAMBx3BdEdLdipWMXx3FnUb59aw7gJhGliZxPAIAHKDfSZQD+BLCZ4zgNo0hEeQAWcxz3FQBZ+SESs4PhCOAxgJMAjgEoBPB9xUrSFpFzZDAYDMbzQVPSSH3rI8A0kvEMwHYY9ECFERD9g+U4zpKIZJX+PxbALgA/AficiO5xHGcEoKU6vrKW83FCedzkqYr/d0a54bqM8lWOhxXHjYhIWdvrV5zrRUQpFf82AbAUwCoA89QGsWIVyLoWRpbBYDAYzxhNSSOfhj5WnM80ktGsYQ5DE6Jiq5YnIuI4bhyAnSjfev0awFsAPAFMB1Bck7HVZtzUxysSuf5EuVGcCyALwCwAKUQUVYs5G6hjPSv+z1XM3wjAf1HJIHIc9wWAbABf1sfwMhgMBuP5o6E08mnpY8U1mUYyngmYw9DEqG8liYprVKkmUXlFp5LB6gTgFIC/ABQAGA/Al4ju1HB9jWoSOt5nBGAZgJUojwvtg/IEt9ianoHBYDAYjCfRR7WlhtTHimswjWQ8czCHoYlSyWj9jvJKEgNqqiRRcZ4XgIsoj5n8FkDlahLVXd8f5fGhEgBDiSimhusL1SQAvPlkYlg177dEeXWL1gBeEhmzymAwGAyGVuqikfrWx4pzmUYynkkMGnsCDK0YcBy3HsAQlBsRMc6CJcpXK44DmAdgNoD/VJSa06DCGJoCmIPyBK5+IpwFV5TXoz4NoDvKE8Na6Xi/AYC1ALoCGMgMIYPBYDAaiFpppL71seIeTCMZzyysSlLTpjaVJADd1STWVbOS0hXAQACDiChBxPVFVZOoREuUV6voTkRxIp+BwWAwGAwxNFS1pYbQR4BpJOMZhoUkNWFqW0mi4hxd1SQ+I6L7Fasa7kT0kOM4eyKSiLy22GoSQpIXx3HmRFRSm2dgMBgMBqMmGrjaUr30seJ6TCMZzyzMYXhGEVFNoh2AyTUZqnpUk0glot8a8JEYDAaDwag3DaWPFddiGsl4LmAOwzNMDdUkelHNHTD1Xk2CwWAwGIynTX31seIaTCMZzw3MYXgOaKrVJBgMBoPBaEyaakVCBqOpwZKenw8MOI5bh/JqEt1qWU3iAoD1AIyqSwzTUk1CbIIYg8FgMBiNSa30EWAayXg+YQ7D80NTqybBYDAYDEZToKlVJGQwmhwsJOk5oalVk2AwGAwGoynQ1CoSMhhNEbbD8JxQW2OoNoSVqklEViSJ7QRAHMd9jYpqEhzHTWaGkMFgMBjNkdrqY8U5TCMZzxVsh4FRIw1RTYLBYDAYjGcRppGM5wHmMDBEU9dqEgwGg8FgPOswjWQ8y7CQJEZtqHU1CQaDwWAwnhOYRjKeWQwaewKMZkdtq0kwGAwGg/G8wDSS8UzCQpIYtaIu1SQYDAaDwXgeYBrJeFZhDgODwWAwGAwGg8HQCgtJYjAYDAaDwWAwGFphDgODwWAwGAwGg8HQCnMYGAwGg8FgMBgMhlaYw8BgMBgMBoPBYDC0whwGBoPBYDAYDAaDoRXmMDAYDAaDwWAwGAytMIeBwWAwGAwGg8FgaOX/AX1ZkSez3ecLAAAAAElFTkSuQmCC\n", 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" ] }, - "execution_count": 47, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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"text/plain": [ "
" ] @@ -474,6 +497,7 @@ "from qiskit.visualization import plot_state_city\n", "\n", "sv=job_b2.result().results[0].data.statevector\n", + "print(job_b2.result().get_counts())\n", "\n", "pl.figure()\n", "pl.plot(np.abs(sv)**2,'x')\n", @@ -486,7 +510,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 113, "id": "e30a6408", "metadata": { "scrolled": false @@ -497,9 +521,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 2.500017\n", - " Iterations: 19\n", - " Function evaluations: 37\n" + " Current function value: 1.500003\n", + " Iterations: 22\n", + " Function evaluations: 41\n" ] }, { @@ -508,13 +532,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 48, + "execution_count": 113, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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zderUJcoDTVs0ydqhQ4dstNFGjZb9xz/+kS222CJdu3bNqquumg022CCHHHJIrr/++hRF0eI23HHHHXnhhReSLPxV7KITW/ig+/KXv5wk+de//pUxY8bUW+aMM85IkrRv3z5HH330Utv33nvvDBgwIEly4YUX5p133lmqzMsvv5yRI0cmWTjub7755o2265RTTkm/fv3SqVOnrLbaatlqq63yne98J0899VS1uwZt3uIXIctKhNhzzz2zxhprpFOnTundu3d23XXXnH322UtcKG0N06ZNy8MPP5zjjjsuX//615MsvCD0la98pVXbBS3x7rvv5umnn87Pf/7zDBkypHL3jW9/+9ut3LJk7ty5+dKXvpQFCxbku9/97nJJsloen11QS7Xsw2WshFQURf7whz8kSVZdddUcfPDB9ZYzP83KbPr06ZU+es4552SttdZa7nUuWLAgkydPzu23354DDjggV111VZJk4403zt57771E2cVXUZwxY0ajcRff/p///Gep7eaoWZldc8012XjjjbPKKquke/fu+fCHP5wjjzwy48aNW6a4ZV0vrkY115oaY46aFdny6sPL43pxWdeZzFGzQmrFW0dDTcyaNatIUiQphg4d2mT5rl27FkmKj3/8482q53vf+16lngcffLDRsueee26l7C233LLEtrXXXrtIUmy22WZN1rnZZpsVSYp11llnif8fM2ZMJf65557baIwHH3ywUvakk05qsk6otVr14ZEjR1bqOeuss4o111yz8u/3/7Vr16644IILWrhHRXHwwQdXYl1zzTUNllv8c+XAAw8srrvuuuLBBx8sbrjhhuILX/hC0a5duyJJcfjhhxfz5s1rcXugNTz//POV9/eRRx5Zs3pvuummqj5T+vfv3+BnwKK/HXfcsXj55Zdb1I6jjjqqEufvf/97S3cHWs3y6sNvvfVWscceexRJis6dOxfHH3988de//rV44IEHilGjRhW77LJLkaRo37598etf/7rBOPfcc0+x+uqrF0mKD33oQ8WIESOKu+++uxg3blxx3nnnFb179y6SFAMGDCieeOKJemOMGzeuyc+Bdu3aFaeeemqxYMGC0o4BtIb58+cXgwcPrvqctjGnnnpqk32nV69exfXXX9/s2Iuev8suuzT7uUceeWSD7VlllVWKq6++utkxobVcfvnljfaxE044odSxafH+8/zzz1f9vDPPPLNIUmy44YbFu+++W2/7L7/88ha369VXXy26d+9eJCnWXHPNJeqAtqzWfXiRDTfcsDLuzZgxo0Ux7rjjjko7Dz/88AbLmZ9mZfalL32pSFLssMMOS/TVxb8Hjxs3rpS6Gpuf6t+/fzFhwoR6n9enT5/K+Dh79uwG4w8bNqwSb/vtt6+3jDlqVjZNna8mKfbff/9i+vTpLYpf1vXialR7rakh5qhZES3vPlzm9eIyrjOZo2ZF1/ByU7CSeOuttyqPq/mFR9euXfPOO+/k7bffXm71LP5LtffXsyhOtW1tLMaytgXaglr14UW/5kyS008/PbNnz84nP/nJnHbaaRk0aFBmzJiR6667LieddFJmzpyZ4447LhtvvHH22WefZtVz3XXX5dprr02SbLPNNo0uh3/22Wdnt912y09/+tOMHj06o0ePXmL7VlttlZNOOimf+cxnmtUG+KCaOnVqZTWk9u3bV1Zbq0+nTp2y3377Za+99sqgQYPSs2fPTJ8+PePHj8/FF1+cl156Kffcc0/23HPPjB8/Pj179qy6He+++26uu+66JEm/fv2y2267LduOwUqkW7duGTNmTEaOHJmzzz47559/fs4///wlyhx44IE58cQTs9122zUYZ4cddsjDDz+cX/7yl/nlL3+51Opn3bp1y+mnn56vfe1rWXPNNRuM06dPnxx44IHZaaedsuGGG6ZDhw558cUXc+ONN+aKK67I3Llzc/rpp2fOnDkNrhoBK4ILLrigcovFAw44IB/72MeWKd7mm2+e/fffP4MHD07fvn0zd+7cPPnkk7nyyitz6623Zvr06TnooINy4403Nvv7dNkOOeSQnHPOOenfv3+rtgPKsOWWW2bEiBGNjpG18swzz1S+b//617/OKqusUmr8oijyla98pTJn8MMf/rD0OqDWlmcfvuuuuyq3Vz3ggAMqd+BprmpXWzQ/zcrq7rvvzqWXXpoOHTpkxIgRqaurq3kbOnTokB/96Ef59re/3WBf/tSnPpURI0ZkypQpOf/883PyyScvVebuu+/OzTffXPn34v12ceaoWdmsuuqq2W+//bL77rtnk002Sbdu3fLGG2/kzjvvzIgRI/Lmm2/m+uuvz6c+9an8/e9/T8eOHZsVv1ZjYHOuNdXHHDUrquXdh8u8XlzWdSZz1KzQWjsrEpa3F198sZIlfsQRRzRZfr311qusqNIcX/jCFyr1PPvss42Wveyyyyplr7jiiiW2LfpV2c4779xknTvvvHORLFwpZnG///3vK/Evu+yyRmM8++yzlbJf/OIXm6wTaq1WffiMM85Y4lclw4YNK+bPn79UubvuuqvSTwcNGtSsX51MnDixsorDKqusUvz73/9utPyrr75aHH744UWXLl3q/eVLhw4div3226+YOHFis/YV2oJar5Q4b9684hOf+ESlzlNPPbXR8tOmTWtw28yZM4u99tqrEus73/lOs9py5ZVXWgWCFd7y7MPjx48vdtttt6Kurq7e8a9Hjx7FV7/61UZXd1mwYEFx/vnnN/pr1E033bQYOXJkgzHefvvtYs6cOQ1uv//++4uePXsWSYq6urri4YcfXpbdhlZzxx13FB06dCiSFL179y4mTZq0TPEaG0OLoihGjBhR6Yd9+/Zt1spmi57XkpUSX3755eLxxx8vHn/88eKee+4pLr744mLrrbcukhQ77bRT8dRTTzU7JrSWadOmVd7PDzzwQPHHP/6xOOCAAyrnwjfeeGOp9bVkpcTdd9+9SFJ8+tOfXmpbGSsl/uQnP6nEGDJkSL3n79BW1boPF8X/reyWFq7EVBQL72bSo0ePIkmx7rrrNtrvzE+zMpo9e3ax6aabFkmK7373u0ttXx4rJT755JPF448/Xjz66KPF7bffXpxxxhlF3759i06dOhVHHHFE8dZbb9X7vP/+97+V/lpXV1cce+yxxVNPPVXMmTOneO2114r/+Z//Kbp3717U1dVVzgUamk83R83KprFz1kmTJhVbbbVV5f194YUXNjt+WdeLG9Pca031MUfNimp59+EyrxeXcZ3JHDUrunZNJS3Ciq5Lly6Vx3PmzGmy/OzZs5Ok2b+ubk49i+qor55FcZalrWW1BdqC1ujDSXLuueemXbulh8mddtopBx54YJJkwoQJmTBhQlXxX3311eyzzz556623UldXl8suuywf+chHGiw/ceLEDB48OFdeeWW6du2aiy66KC+99FLmzJmTSZMm5fe//3369u2bG264Idtvv33uuuuuZuwtfPB87Wtfyy233JIkGTp0aH74wx82Wr5Xr14NbuvevXuuvvrqrLHGGkmSSy65pKrPp0UWX1ni85//fNXPgw+Ca6+9Nrvuumtuv/32bL755vnzn/+cN998M3PmzMmzzz6bs846K3Pnzs3FF1+cHXbYIZMmTVoqxoIFC3LIIYfk+OOPzwsvvJAvfvGL+de//pVZs2bl7bffzt1335399tsvEydOzFFHHZXjjz++3rZ07dq10V/SDh48OL/+9a+TLFytadFjWJH8+9//zgEHHJB58+alc+fOufrqq7P22msvU8zGxtAkOeaYY3L00UcnWfgd+f0rrSwv6667bgYNGpRBgwZlhx12yFe+8pU88MADOeaYY3L33Xdnu+22y6OPPlqTtsCy6tWrV+X9vO222+azn/1sRo8end///vd57rnn8qlPfSojR45stfaNHDkyt912W3r06JFf/OIXpce/8sorK9/nBwwYkKuuuqre83doq2rdh2fPnp1rrrkmSdK3b9/sscceLYpz/fXXZ+bMmUmSz33uc432O/PTrIzOOuusTJw4Meuvv35OPfXUmtQ5cODADBo0KFtssUWGDBmSH/zgB5kwYUI++tGP5oorrsiOO+5Y7wqH/fv3zzXXXJPu3bunKIr84he/yMCBA9OpU6f06dMn3/jGN/LWW2/l7LPPrvTX7t27LxXHHDUro8bOWddee+1ce+216dSpU5LkV7/6VbPjL+8xsLnXmhpijpoVVS37cLJs14vLuM5kjpoVndkaVnqLn0hVs/T1O++8k6S628S2tJ5FddRXz6I4y9LWstoCbUFr9OENNtggG2+8cYNl995778rjBx98sMnYU6dOzV577ZX//ve/SZILL7wwhx56aKPPOeKII/Lyyy9n1VVXzV133ZWvfvWr6devXzp27Ji11147RxxxRMaPH5+1114706dPz6GHHrrECSzwf04++eRccsklSRaeKF5zzTVp3779MsXs2bNnPvvZzyZZ+Lnzz3/+s6rnvfbaaxk7dmySZNttt82mm266TO2AlcnkyZNz1FFHZfbs2dlss81y7733Zv/998/qq6+ejh07ZsMNN8zJJ5+cG2+8MXV1dfn3v/+db37zm0vFueiiiyoXXU877bRceuml2WqrrdKlS5d07do1O+64Y/7yl7/kiCOOSJL8/Oc/X+KWVc1xyCGHVG6rceedd7Zwz6F1PP/889lrr70ybdq0tG/fPn/84x+zyy671KTuY445pvK4NftO+/bt88tf/jLrrbdepk2blq9+9aut1hYowxFHHJFPf/rTWbBgQb7xjW9k2rRpNW/DG2+8kRNOOCFJcsYZZ6Rv376lxr/55pszfPjwFEWRtddeO3//+9+zzjrrlFoHtJbl1Yf/8pe/ZPr06UmSww8/vMXnw81JXjA/zcrmiSeeyE9/+tMkCxMcFr/laq2tttpq+d3vfpckeeyxxyrter+99torjzzySL74xS9WEh4W+fjHP56//vWv+frXv17po6utttpSMcxR80G04YYbZs8990ySPPPMM3n11Veb9fzlOQa25FpTfcxRszIrsw+Xfb34/Vp6nen9zFHTlklKZKXXpUuXrLnmmkmSl19+udGy06ZNq3wBXG+99ZpVT79+/SqPm6rnpZdeqjx+fz2L4jQVY/E4DcVY1rZAW1CrPrx4+cX7UFNlX3/99UbLvvXWW/nEJz6Rf//730kWXpSpL4FicY8++mgeeuihJAsnixs6Iezbt28l1iuvvFJZBQ74P+ecc07OPvvsJMnWW2+dm266qbSVFxb/Beorr7xS1XOuvPLKzJ8/P4lfoML7jRo1qjKOn3LKKQ1e5Nl9992z++67J0lGjx691MXayy67LMnCCaSTTjqpwfrOOuusyuNLL720RW3u0KFDBg4cmKT6zwFoC1599dXsscceefXVV1NXV5ff/va3OeCAA2pWf0vG0OWlU6dO+cQnPpEkGT9+fLMnq6Gt+dSnPpVk4QWNMWPG1Lz+Sy+9NG+++WZ69eqVNdZYI6NGjVrq7/7776+Uv//++yv/39T59R133JGDDz44c+fOzWqrrZZbb701G2200fLeJaip5dGHy1gJafLkybn11luTJNtss02TKzKZn2Zlc8EFF2TOnDnZcMMN8+6779Y7vi2+QtLtt99e+f/Fk47Ksummm+bDH/5wkoV3HGjIhhtumEsvvTRvvPFGXn311Tz55JOZMWNGxo8fn3322WeJlcLf36/NUfNBtiznrMtrDGzJtaaGmKNmZbcsfXh5XS9uSBlzZOaoacs6tHYDoBY23XTT3HXXXXnmmWcyb968dOhQ/1v/iSeeWOI5zbH4gLF4nMbq6dChw1KTpx/5yEfy0EMPZcaMGZk0aVKDv/Z+7bXXKrfLeH9bBw4cmPbt22f+/PlVt6W+ONBW1KIPb7bZZpXHi07GGrL49obakiSzZs3KsGHDKr+O+e53v5sf/OAHTbZl4sSJlcdbb711o2W32WabyuMnnniiMnkNLFwtbVFC0qabbpq//e1vlV+LlaEoimY/54orrkiSdOzYsUW/YoWVWXPHv7Fjx2bBggV56qmnst122y0V5yMf+Ug6d+7cYIx+/fpl7bXXzuTJk5v8ztyYlnwWQGuaMmVK9txzzzz33HNJFq70UuuLEG2t36y11lqVxy+88ELpK7tBLb3//Vxri1ZHmj59ej73uc81WX7EiBEZMWJEkmTcuHHp3bt3veUeeOCBDBs2LO+99166deuWMWPGZIsttiiv4dBGlN2HX3/99fztb39LsvA79qBBg1oUZ/HkhSOPPLLJ8uanWdksGt+ee+65quZzzjjjjMrj559/frmsrLjWWmvl6aefruqzoq6uLn369EmfPn2W+P+777678njx8+rEHDUfbMtyzlrW9eLFtfRaU0PMUbOyW5Y+vDyuFzemrDmytjbXBotYKZEPhJ122inJwl+YLvplV30WX852xx13bFYd2267bTp16rRUnPebM2dO7rvvvqWe8/62NhWnsbZ26tQpgwcPTrJwpYc5c+Y0Gadz58752Mc+1mA5aE216MP9+/fP+uuvnyR59tlnGy27+PZ111233jJz587NQQcdVGnTV77ylfzsZz+rqi2Lf3GdN29eo2Xnzp1b7/Pgg+6KK67IN77xjSQLfxU+duzYyqqrZfnPf/5TeVxN8sIjjzySxx57LEkydOjQpW6dAx90ZY1/i/7dVIzF47R0DJ03b16eeuqpJNV9DkBrmzFjRvbee+/KGHb22Wfn61//es3b0dwxdHlb/FfkbhvJim5lfD8/9thj+cQnPpG33347Xbp0yY033rhU4gSsLMruw1dddVXle/Gy/Ahh0WqL1SYvmJ+G5W/R58WyfFZcddVVSZJVVlklw4YNW2KbOWo+yJblnLWs68WLLMu1pvqYo+aDYFn6cNnXi5tSxhyZOWraMkmJfCDsv//+lceXX355vWUWLFhQmVzp1atXhgwZ0qw6unfvXrmN3NixYxtcknv06NGVFQ7ruz3Wfvvtl3bt2jXa1iQZOXJkkqRdu3bZb7/9ltq+aJ9nzpyZ0aNH1xvj5ZdfztixY5MsvA1e9+7dG6wPWlMt+nCSHHTQQUkW3pLm3nvvbbDc4n1q5513Xmr7/Pnzc9hhh1Vus3PEEUfkoosuqrodG2ywQeXxXXfd1WjZxU9qF38efJCNHj06w4cPT1EU6devX2677bbST8RmzJiRP/3pT0mSVVddtaoLJ4vfMqualSXgg6Y5498//vGPJAtXexgwYEC9cSZMmJDp06c3GGPChAmZOnXqUnU3x6hRoyrf7XfZZZcWxYBaeffddzN06ND861//SpJ8//vfz/e+971WactvfvObyuPW7juL3x5zlVVWyYc+9KFWbQ8sq2uuuabyePPNN695/aeddlqKomj0b/Hz+ssvv7zy/7vuuutS8Z566qnstddemTZtWjp27Jjrrruu3nKwsii7Dy86D+3QoUMOO+ywFsV4/PHHK7d43Xfffav+wZ/5aVYmI0eObHJ8O/XUUyvlx40bV/n/95+zluHBBx+srJDY0s+Ka665ptK3DzvssPTq1WuJ7eao+aB67rnn8ve//z3Jwh+7NzfRqKzrxcmyX2uqjzlqVnbL2oeT8q4XN6Ul15nqY46aNq2AD4idd965SFJ06NChuPfee5fa/rOf/axIUiQpTj311KW2X3755Y1uL4qiuO222ypl9ttvv2LevHlLbH/jjTeK9ddfv0hS9OrVq5g6dWq9cY444ohKnGuuuWap7VdffXVl+5FHHllvjDfffLPo2bNnkaTo379/MWXKlCW2z5s3rxg2bFglzu23315vHGgratGHX3jhhaJLly5FkmKbbbYp3n777aXKXHHFFZU4Q4cOXWr7ggULiuHDh1fKHHTQQUt9FjRl/vz5xbrrrlskKdq3b1+MHTu23nIPPfRQ0bVr1yJJseqqqxbTpk1rVj3Qmp5//vkmx7L3q6Yf/+1vfys6depUJCl69+5dPPHEE81u25gxY4p33323we0zZ84s9tprr0pbvvnNbzYZc968ecU666xTJCnWWGONYs6cOc1uF7Qly6MPT5w4sairqyuSFOuuu27x8ssv1xvnN7/5TSXO9ttvv9T2k08+ubJ9+PDhxYIFC5YqM2vWrGLIkCGVcr/5zW+W2D516tRi3Lhxje7P/fffX/Tq1atIUtTV1RUPPvhgo+WhNc2ePXuJsevb3/52i+I01Y8fe+yx4umnn240xogRIyox1llnnXq/czdk0fN22WWXJsu+8cYbxbXXXttomVmzZhWf+cxnKnE/97nPVd0WqLXLL7+8mDVrVqNlfv7zn1fezwMGDCjmzp27VIymvk/X58gjj6w87/nnn29B65e0eDsuv/zyBsu98MILxXrrrVc5N65vjgxWFK3RhydMmFApP2zYsBa3/fjjj6/Eue6666p+nvlpPmhOPfXUyvu5ofPJpvrx/fffXzz00EON1vPyyy8Xm266aSXOpZdeWm+5F154ocEY9913X9GjR48iSbH66qsXkydPXqqMOWpWRjfccMNS4+viJk2aVGy11VaV/nX++ecvVaZW14vLuNb0fuaoWdHVqg+Xcb24jOtM5qhZGVhDmw+MCy+8MDvuuGNmzZqVvfbaK6ecckqGDBmSWbNmZdSoUbnkkkuSJAMHDszxxx/fojp22223fPazn82oUaNyww03ZM8998yxxx6bvn375vHHH8+ZZ56ZF198McnC22Stttpq9cY588wzc8stt+SNN97IoYcemn/+85/55Cc/mSS56aabcv755ydJ1lprrfzkJz+pN8bqq6+ec845J1/5ylfywgsvZLvttsv3v//9bL755nn11Vfzi1/8IuPGjUuSHHrooS1aVQ5qqRZ9eP3118+Pf/zjnHjiiXnooYcyePDgnHjiiRk0aFBmzJiR0aNHZ8SIEUmSHj165IILLlgqxgknnFBZ9WHQoEE55ZRTMnHixEbrHTRo0BL/bteuXX7605/m85//fObPn5999tknxxxzTIYNG5bevXtn6tSpufXWW/OrX/0q7777bpLk5JNPXurXrNCW3H333XnmmWcq/54yZUrl8TPPPFNZAXiRo446qtl13HfffTnggAMyZ86cdOzYMRdccEHmzp2bCRMmNPicfv36LdV3zj777Bx++OE58MADs9NOO+VDH/pQunXrlunTp2f8+PG5+OKL89JLLyVJNt5445x22mlNtu1vf/tbJk2alGThuNuxY8dm7x+0plr04U022STDhw/Pb3/727zyyivZaqutcuyxx2bnnXdO9+7d89JLL2XUqFGV20u1b98+Z5111lJxjjvuuFx22WV5/fXXc/nll+fpp5/OV77ylWyyySaZP39+Hn744fzyl7+s3Bpj0003Xaq9M2bMyJAhQ7LFFltk//33zzbbbJM+ffqkffv2efHFF3PjjTfmiiuuqNyi6oQTTnCrOdq0Qw89NLfeemuSheetX/ziFxsdHzt16pSBAwc2u56HHnooRx99dIYMGZJ99tknm2++edZYY43MmzcvTzzxRP7whz9Ufq3evn37/OY3v0nXrl3rjfXII4/kkUceqXfbpEmTlvrcOfjgg5e4dd3bb7+dgw8+OBtttFEOOuigDB48OOuuu246d+6cKVOm5IEHHshll12W5557LsnC2+ycc845zd5nqJXTTjstxx9/fA466KAlvqO+9dZbefzxx3PllVfmnnvuSbKwD//v//5vi26f+Pbbb+faa69d4v8W/w5w7bXXLrFK2pZbbpktt9yyZTvViDfffDN77LFH5Xv38ccfn0022aTRz67VVlutxbfMguWtVn14cb/73e8qj1u6EtL8+fMr379XX331yhx1NcxPQ/P95z//yfDhw7PDDjtk2LBh2XLLLbPWWmslWXi75nHjxuXyyy/PjBkzkiR77LFHhg8fXm+soUOHpnv37jnssMPy0Y9+NF27ds0rr7ySG264ISNHjsy8efPSuXPnXHXVVendu/d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\n", 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" ] @@ -560,15 +584,15 @@ "\n", "mu=1\n", "\n", - "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv)\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,ng=20,nb=10)\n", "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv)\n", "\n", "# plot landscape\n", - "_=getfig(Ecost)\n", + "_=getfig(Ecost,ng=20,nb=10)\n", "# plot landscape\n", - "_=getfig(Eexco)\n", + "_=getfig(Eexco,ng=20,nb=10)\n", "# plot landscape\n", - "_=getfig(E)\n", + "_=getfig(E,ng=20,nb=10)\n", "pl.plot(x0[0],x0[1],'ro')\n", "pl.plot(xb[0],xb[1],'wx')\n", "\n", @@ -581,19 +605,214 @@ }, { "cell_type": "code", - "execution_count": null, - "id": "36b8ad2c", + "execution_count": 106, + "id": "92daded7", "metadata": {}, "outputs": [], - "source": [] + "source": [ + "x1=x0+np.array((0,1))" + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 109, + "id": "a89fdd8d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: -0.510003\n", + " Iterations: 14\n", + " Function evaluations: 27\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "out, job_b, xb = qaoa.getlocalmin(x1, backend, mu,useExco=[False],sv=sv)\n", + "\n", + "_=getfig(E,ng=20,nb=10)\n", + "pl.plot(x0[0],x1[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "id": "36b8ad2c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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+       "«     │                                                                                                                                                                                                    │»\n",
+       "«q_1: ┤1 Initialize(-0.00052839-0.00059761j,-0.70711+0.00060501j,0.00012489-0.00032502j,0.00012489-0.00032502j,0.00012489-0.00032502j,0.00012489-0.00032502j,-0.70711+0.00060501j,-0.00052839-0.00059761j) ├»\n",
+       "«     │                                                                                                                                                                                                    │»\n",
+       "«q_2: ┤2                                                                                                                                                                                                   ├»\n",
+       "«     └────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┘»\n",
+       "«      ┌─────────┐  ░ ┌───┐        ┌───┐   ┌───┐┌───┐      ░ ┌───┐┌───┐     »\n",
+       "«q_0: ─┤ Rz(0.1) ├──░─┤ H ├────────┤ X ├───┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────»\n",
+       "«     ┌┴─────────┴┐ ░ ├───┤┌───┐   └─┬─┘   └─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐»\n",
+       "«q_1: ┤ Rz(0.001) ├─░─┤ H ├┤ X ├─────■───────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├»\n",
+       "«     ├───────────┤ ░ ├───┤└─┬─┘┌─────────┐     └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘»\n",
+       "«q_2: ┤ Rz(0.001) ├─░─┤ H ├──■──┤ Rz(0.2) ├───────■──┤ H ├─░─┤ H ├───────■──»\n",
+       "«     └───────────┘ ░ └───┘     └─────────┘          └───┘ ░ └───┘          »\n",
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+       "«q_0: ───┤ X ├───┤ X ├┤ H ├┤ Sdg ├────────░─┤ S ├┤ H ├────────┤ X ├───┤ X ├»\n",
+       "«        └─┬─┘   └─┬─┘├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐   └─┬─┘   └─┬─┘»\n",
+       "«q_1: ─────■───────■──┤ X ├─┤ H ├─┤ Sdg ├─░─┤ H ├─────┤ X ├─────■───────■──»\n",
+       "«     ┌─────────┐     └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘┌─────────┐     »\n",
+       "«q_2: ┤ Rz(0.2) ├───────■───┤ H ├─────────░─┤ S ├┤ H ├──■──┤ Rz(0.2) ├─────»\n",
+       "«     └─────────┘           └───┘         ░ └───┘└───┘     └─────────┘     »\n",
+       "«     ┌───┐┌─────┐        ░ ┌───┐             ┌───┐    ┌───┐┌───┐            »\n",
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+       "«     ├───┤└┬───┬┘        ░ ├───┤┌───┐┌───┐   └─┬─┘    └─┬─┘├───┤┌───┐┌─────┐»\n",
+       "«q_1: ┤ X ├─┤ H ├─────────░─┤ S ├┤ H ├┤ X ├─────■────────■──┤ X ├┤ H ├┤ Sdg ├»\n",
+       "«     └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘┌──────────┐     └─┬─┘├───┤├─────┤»\n",
+       "«q_2: ──■───┤ H ├─┤ Sdg ├─░─┤ S ├┤ H ├──■──┤ Rz(-0.2) ├───────■──┤ H ├┤ Sdg ├»\n",
+       "«           └───┘ └─────┘ ░ └───┘└───┘     └──────────┘          └───┘└─────┘»\n",
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" + ], + "text/plain": [ + " »\n", + "q_0: »\n", + " »\n", + "q_1: »\n", + " »\n", + "q_2: »\n", + " »\n", + "« ┌────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┐»\n", + "«q_0: ┤0 ├»\n", + "« │ │»\n", + "«q_1: ┤1 Initialize(-0.00052839-0.00059761j,-0.70711+0.00060501j,0.00012489-0.00032502j,0.00012489-0.00032502j,0.00012489-0.00032502j,0.00012489-0.00032502j,-0.70711+0.00060501j,-0.00052839-0.00059761j) ├»\n", + "« │ │»\n", + "«q_2: ┤2 ├»\n", + "« └────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┘»\n", + "« ┌─────────┐ ░ ┌───┐ ┌───┐ ┌───┐┌───┐ ░ ┌───┐┌───┐ »\n", + "«q_0: ─┤ Rz(0.1) ├──░─┤ H ├────────┤ X ├───┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────»\n", + "« ┌┴─────────┴┐ ░ ├───┤┌───┐ └─┬─┘ └─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐»\n", + "«q_1: ┤ Rz(0.001) ├─░─┤ H ├┤ X ├─────■───────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├»\n", + "« ├───────────┤ ░ ├───┤└─┬─┘┌─────────┐ └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘»\n", + "«q_2: ┤ Rz(0.001) ├─░─┤ H ├──■──┤ Rz(0.2) ├───────■──┤ H ├─░─┤ H ├───────■──»\n", + "« └───────────┘ ░ └───┘ └─────────┘ └───┘ ░ └───┘ »\n", + "« ┌───┐ ┌───┐┌───┐┌─────┐ ░ ┌───┐┌───┐ ┌───┐ ┌───┐»\n", + "«q_0: ───┤ X ├───┤ X ├┤ H ├┤ Sdg ├────────░─┤ S ├┤ H ├────────┤ X ├───┤ X ├»\n", + "« └─┬─┘ └─┬─┘├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐ └─┬─┘ └─┬─┘»\n", + "«q_1: ─────■───────■──┤ X ├─┤ H ├─┤ Sdg ├─░─┤ H ├─────┤ X ├─────■───────■──»\n", + "« ┌─────────┐ └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘┌─────────┐ »\n", + "«q_2: ┤ Rz(0.2) ├───────■───┤ H ├─────────░─┤ S ├┤ H ├──■──┤ Rz(0.2) ├─────»\n", + "« └─────────┘ └───┘ ░ └───┘└───┘ └─────────┘ »\n", + "« ┌───┐┌─────┐ ░ ┌───┐ ┌───┐ ┌───┐┌───┐ »\n", + "«q_0: ┤ H ├┤ Sdg ├────────░─┤ H ├─────────────┤ X ├────┤ X ├┤ H ├────────────»\n", + "« ├───┤└┬───┬┘ ░ ├───┤┌───┐┌───┐ └─┬─┘ └─┬─┘├───┤┌───┐┌─────┐»\n", + "«q_1: ┤ X ├─┤ H ├─────────░─┤ S ├┤ H ├┤ X ├─────■────────■──┤ X ├┤ H ├┤ Sdg ├»\n", + "« └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘┌──────────┐ └─┬─┘├───┤├─────┤»\n", + "«q_2: ──■───┤ H ├─┤ Sdg ├─░─┤ S ├┤ H ├──■──┤ Rz(-0.2) ├───────■──┤ H ├┤ Sdg ├»\n", + "« └───┘ └─────┘ ░ └───┘└───┘ └──────────┘ └───┘└─────┘»\n", + "« ░ \n", + "«q_0: ─░─\n", + "« ░ \n", + "«q_1: ─░─\n", + "« ░ \n", + "«q_2: ─░─\n", + "« ░ " + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qaoa.createCircuit(np.array((0.1,0.2)), useExco=[False],sv=sv).draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 79, "id": "1496f3f6", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1 0 0] 1.0\n", + "[0 1 1] 0.02\n", + "min cost= 0.02\n" + ] + }, + { + "data": { + "text/plain": [ + "(array([2. , 1. , 1.01, 2.01, 1.01, 2.01, 0.02, 3.02]),\n", + " array([0. , 1. , 0.01, 1.01, 0.01, 1.01, 0.02, 1.02]),\n", + " array([2., 0., 1., 1., 1., 1., 0., 2.]))" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qaoa.cost_vector(1,plotsolutions=True)" + ] }, { "cell_type": "code", @@ -644,7 +863,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/newbeginning.ipynb b/newbeginning.ipynb index dffca33..ab6537c 100644 --- a/newbeginning.ipynb +++ b/newbeginning.ipynb @@ -190,7 +190,7 @@ "execution_count": 12, "id": "b6491723", "metadata": { - "scrolled": false + "scrolled": true }, "outputs": [ { @@ -474,7 +474,7 @@ "execution_count": 13, "id": "4ac72a43", "metadata": { - "scrolled": false + "scrolled": true }, "outputs": [ { @@ -1007,7 +1007,7 @@ "execution_count": 16, "id": "22a07150", "metadata": { - "scrolled": false + "scrolled": true }, "outputs": [ { @@ -1156,7 +1156,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 6, "id": "98286d13", "metadata": {}, "outputs": [], @@ -1235,7 +1235,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 7, "id": "5ad02c62", "metadata": {}, "outputs": [ @@ -1255,13 +1255,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 19, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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" ] @@ -1289,18 +1289,26 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 10, "id": "688dd638", "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 4.20232131e-04+4.37188737e-04j 9.99994457e-01+5.50140566e-06j\n", + " -2.19039528e-03-2.35657003e-03j -5.55856674e-04+2.42388931e-04j]\n" + ] + }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] }, - "execution_count": 20, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -1309,7 +1317,7 @@ "from qiskit.visualization import plot_state_city\n", "\n", "sv=job_b.result().results[0].data.statevector\n", - "\n", + "print(sv)\n", "# pl.figure()\n", "# pl.plot(np.abs(sv)**2,'x')\n", "# print(sv)\n", @@ -1321,7 +1329,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 9, "id": "e30a6408", "metadata": { "scrolled": false @@ -1332,9 +1340,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 0.504840\n", - " Iterations: 26\n", - " Function evaluations: 53\n" + " Current function value: 0.010012\n", + " Iterations: 11\n", + " Function evaluations: 23\n" ] }, { @@ -1343,13 +1351,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 21, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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" ] @@ -1804,7 +1812,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/newbeginning.py b/newbeginning.py index 57d71bf..d782a3a 100644 --- a/newbeginning.py +++ b/newbeginning.py @@ -14,18 +14,18 @@ def __init__(self, CR, FR): def createCircuit(self): raise NotImplementedError - def cost2(self, binstring,plotsolutions=False): + def cost(self, binstring,plotsolutions=False): x = np.array(list(map(int,binstring))) exco=np.sum((1 - (self.FR @ x))**2) if self.CR is None: cost=0. else: cost=(self.CR @ x) - if plotsolutions and excost==0: + if plotsolutions and exco==0: print(x, (self.CR @ x)) return cost, exco - def cost(self, binstring,plotsolutions=False): + def cost2(self, binstring,plotsolutions=False): x = np.array(list(map(int,binstring))) exco=np.sum((np.sum(self.FR*x,1) -1)**2) if self.CR is None: @@ -48,7 +48,7 @@ def cost_vector(self, mu, plotsolutions=False): return costs, co, ex - def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestatevec=True): + def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestatevec=False): if usestatevec: costs, co, ex =self.cost_vector(mu) if nb==None and ng==None and nd==None: @@ -250,11 +250,11 @@ def getfig(E, beta_max=np.pi,gamma_max=2*np.pi,nb=20,ng=40): fig=pl.figure(figsize=(20,10), dpi=200, facecolor='w', edgecolor='k'); pl.imshow(E,interpolation='nearest',origin='lower' - ,extent=[shiftg,gamma_max-shiftg,shiftb,beta_max-shiftb], aspect=1) + ,extent=[gamma[0]-shiftg, gamma[-1]+shiftg, beta[0]-shiftb, beta[-1]+shiftb], aspect=1) pl.xlabel('$\gamma$',loc='left') pl.ylabel(r'$\beta$') pl.colorbar(shrink=0.75, pad=0.05, orientation="horizontal") - pl.xticks(np.linspace(0, gamma_max,9,endpoint=False))#, ['0', r'$\pi$', r'$2\pi$']) + pl.xticks(np.linspace(0, gamma_max,10,endpoint=False))#, ['0', r'$\pi$', r'$2\pi$']) pl.yticks(np.linspace(0, beta_max,5,endpoint=False))#, ['0', r'$\pi$', r'$2\pi$']) #pl.yticks([0,beta_max], ['0', r'$\pi/2$']) pl.xlabel('$\gamma$',loc='left') @@ -393,23 +393,149 @@ def createCircuit(self, x,useExco,barrier=False,sv=None): qc = self.mix_states(qc, beta[i]) else: qc = self.apply_cost(qc, gamma[i]) - qc = self.mix_states(qc, beta[i]) - #if False: - # qc.rxx(beta[i], 0, 1) - # qc.ryy(beta[i], 0, 1) - # qc.rxx(beta[i], 1, 0) - # qc.ryy(beta[i], 1, 0) - #else: - # # 0011 <-> 1101 - # qc.rxx(beta[i]/2, 2, 0) - # qc.ryy(beta[i]/2, 2, 0) - # qc.rxx(beta[i]/2, 2, 1) - # qc.ryy(beta[i]/2, 2, 1) - - # qc.rxx(beta[i]/2, 0, 2) - # qc.ryy(beta[i]/2, 0, 2) - # qc.rxx(beta[i]/2, 1, 2) - # qc.ryy(beta[i]/2, 1, 2) + if False: + qc = self.mix_states(qc, beta[i]) + elif False: + qc.rxx(beta[i], 0, 1) + qc.ryy(beta[i], 0, 1) + qc.rxx(beta[i], 1, 0) + qc.ryy(beta[i], 1, 0) + else: + ## 001 <-> 110 + #A=np.array([[0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 1., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 1., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.]]) + + #U = np.exp(-1j*beta[i]*A) + #print(U) + #qc.unitary(U, range(3), 'A('+"{:.2f}".format(beta[i])+")") + if False: + qc.barrier() + # XXX + for j in range(3): + qc.h(j) + qc.cx(0,1) + qc.cx(1,2) + qc.rz(beta[i], 2) + qc.cx(1,2) + qc.cx(0,1) + for j in range(3): + qc.h(j) + + qc.barrier() + # XYY + qc.s(1) + qc.s(2) + for j in range(3): + qc.h(j) + qc.cx(0,1) + qc.cx(1,2) + qc.rz(beta[i], 2) + qc.cx(1,2) + qc.cx(0,1) + for j in range(3): + qc.h(j) + qc.sdg(1) + qc.sdg(2) + + qc.barrier() + # YXY + qc.s(0) + qc.s(2) + for j in range(3): + qc.h(j) + qc.cx(0,1) + qc.cx(1,2) + qc.rz(beta[i], 2) + qc.cx(1,2) + qc.cx(0,1) + for j in range(3): + qc.h(j) + qc.sdg(0) + qc.sdg(2) + + qc.barrier() + # -YYX + qc.s(0) + qc.s(1) + for j in range(3): + qc.h(j) + qc.cx(0,1) + qc.cx(1,2) + qc.rz(-beta[i], 2) + qc.cx(1,2) + qc.cx(0,1) + for j in range(3): + qc.h(j) + qc.sdg(0) + qc.sdg(1) + qc.barrier() + else: + qc.barrier() + # XXX + for j in range(3): + qc.h(j) + qc.cx(2,1) + qc.cx(1,0) + qc.rz(beta[i], 2) + qc.cx(1,0) + qc.cx(2,1) + for j in range(3): + qc.h(j) + + qc.barrier() + # XYY + qc.s(0) + qc.s(1) + for j in range(3): + qc.h(j) + qc.cx(2,1) + qc.cx(1,0) + qc.rz(beta[i], 2) + qc.cx(1,0) + qc.cx(2,1) + for j in range(3): + qc.h(j) + qc.sdg(0) + qc.sdg(1) + + qc.barrier() + # YXY + qc.s(0) + qc.s(2) + for j in range(3): + qc.h(j) + qc.cx(2,1) + qc.cx(1,0) + qc.rz(beta[i], 2) + qc.cx(1,0) + qc.cx(2,1) + for j in range(3): + qc.h(j) + qc.sdg(0) + qc.sdg(2) + + qc.barrier() + # -YYX + qc.s(1) + qc.s(2) + for j in range(3): + qc.h(j) + qc.cx(2,1) + qc.cx(1,0) + qc.rz(-beta[i], 2) + qc.cx(1,0) + qc.cx(2,1) + for j in range(3): + qc.h(j) + qc.sdg(1) + qc.sdg(2) + qc.barrier() if barrier: qc.barrier() From 7deffb3aed2ec795ce0574ec12d6b3715f7ce174 Mon Sep 17 00:00:00 2001 From: Franz Georg Fuchs Date: Wed, 13 Oct 2021 19:52:34 +0200 Subject: [PATCH 10/12] update --- mixercalc.ipynb | 73 ++- newbeginning 001 110 101 mixing.ipynb | 272 +++++++++++ newbeginning 3 qubit.ipynb | 209 ++++----- newbeginning.ipynb | 621 ++++++-------------------- newbeginning.py | 277 +++++------- 5 files changed, 666 insertions(+), 786 deletions(-) create mode 100644 newbeginning 001 110 101 mixing.ipynb diff --git a/mixercalc.ipynb b/mixercalc.ipynb index 623ffac..90504de 100644 --- a/mixercalc.ipynb +++ b/mixercalc.ipynb @@ -49,7 +49,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "43a64099", + "id": "140faa5a", "metadata": {}, "outputs": [ { @@ -118,6 +118,30 @@ "4*simplify(a2*a1*ad0 + ad2*ad1*a0)" ] }, + { + "cell_type": "code", + "execution_count": 37, + "id": "76017818", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle 1.0 x_{0}$" + ], + "text/plain": [ + "1.0*x0" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "simplify(a0 + ad0)" + ] + }, { "cell_type": "code", "execution_count": 20, @@ -207,13 +231,14 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 34, "id": "5c3f2969", "metadata": {}, "outputs": [], "source": [ "zzo = np.kron(zero,np.kron(zero,one))\n", - "ooz = np.kron(one,np.kron(one,zero))" + "ooz = np.kron(one,np.kron(one,zero))\n", + "ozo = np.kron(one,np.kron(zero,one))" ] }, { @@ -260,11 +285,47 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 36, "id": "8bbfcca8", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [1],\n", + " [0]]),\n", + " array([[0],\n", + " [1],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0]]),\n", + " array([[0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [1],\n", + " [0],\n", + " [0]]))" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ooz, zzo, ozo" + ] } ], "metadata": { diff --git a/newbeginning 001 110 101 mixing.ipynb b/newbeginning 001 110 101 mixing.ipynb new file mode 100644 index 0000000..d2fcd9e --- /dev/null +++ b/newbeginning 001 110 101 mixing.ipynb @@ -0,0 +1,272 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "id": "a88a8c77", + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext autoreload\n", + "%autoreload 2\n", + "# %matplotlib inline\n", + "import matplotlib.pyplot as pl\n", + "pl.ion()\n", + "import numpy as np\n", + "import sys\n", + "sys.path.append('../')\n", + "\n", + "import os\n", + "import copy\n", + "from qiskit import *\n", + "from qiskit_utilities.utilities import *\n", + "\n", + "from qiskit.visualization import plot_histogram\n", + "\n", + "from newbeginning import *" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "1096f1c6", + "metadata": {}, + "outputs": [], + "source": [ + "backend = Aer.get_backend('statevector_simulator')" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "8e79c8e1", + "metadata": {}, + "outputs": [], + "source": [ + "FR = np.array([[1,1, 0],\n", + " [1,0, 1]])\n", + "CR=np.array([2,1,1])\n", + "# CR=np.random.rand(4)\n", + "\n", + "# Normalize weights\n", + "CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "688dd638", + "metadata": {}, + "outputs": [], + "source": [ + "a=np.array([[0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [1],\n", + " [0]],dtype=complex)\n", + "b=np.array([[0],\n", + " [1],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0]],dtype=complex)\n", + "c=np.array([[0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [1],\n", + " [0],\n", + " [0]],dtype=complex)\n", + "sv=1./np.sqrt(2)*(a+0*b+c).flatten()" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "e30a6408", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.875000\n", + " Iterations: 4\n", + " Function evaluations: 13\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "mu=0\n", + "\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixerbinstring='001<->110',ng=20,nb=10)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixerbinstring='001<->110')\n", + "\n", + "# plot landscape\n", + "_=getfig(Ecost,ng=20,nb=10)\n", + "# plot landscape\n", + "_=getfig(E,ng=20,nb=10)\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "36b8ad2c", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
     ┌──────────────────────────────────────────┐┌─────────┐           \n",
+       "q_0: ┤0                                         ├┤ Rz(π/5) ├───────────\n",
+       "     │                                          │├─────────┤           \n",
+       "q_1: ┤1 Initialize(0,0,0,0,0,0.70711,0.70711,0) ├┤ Rz(π/5) ├───────────\n",
+       "     │                                          │├─────────┴┐┌────────┐\n",
+       "q_2: ┤2                                         ├┤ Rz(2π/5) ├┤ Rx(-π) ├\n",
+       "     └──────────────────────────────────────────┘└──────────┘└────────┘
" + ], + "text/plain": [ + " ┌──────────────────────────────────────────┐┌─────────┐ \n", + "q_0: ┤0 ├┤ Rz(π/5) ├───────────\n", + " │ │├─────────┤ \n", + "q_1: ┤1 Initialize(0,0,0,0,0,0.70711,0.70711,0) ├┤ Rz(π/5) ├───────────\n", + " │ │├─────────┴┐┌────────┐\n", + "q_2: ┤2 ├┤ Rz(2π/5) ├┤ Rx(-π) ├\n", + " └──────────────────────────────────────────┘└──────────┘└────────┘" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qaoa.createCircuit(x0, useExco=[False],sv=sv,mixerbinstring='001<->110').draw()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1496f3f6", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "062003cc", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a5fb941b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "caf908f1", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "33fbf3de", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/newbeginning 3 qubit.ipynb b/newbeginning 3 qubit.ipynb index 3be3ec7..414754c 100644 --- a/newbeginning 3 qubit.ipynb +++ b/newbeginning 3 qubit.ipynb @@ -2,19 +2,10 @@ "cells": [ { "cell_type": "code", - "execution_count": 26, + "execution_count": 1, "id": "a88a8c77", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - } - ], + "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", @@ -47,7 +38,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 3, "id": "913fbe8f", "metadata": {}, "outputs": [], @@ -58,7 +49,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 4, "id": "742fbfa4", "metadata": {}, "outputs": [], @@ -73,7 +64,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 5, "id": "bce5ef0f", "metadata": {}, "outputs": [], @@ -88,7 +79,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 6, "id": "cbd722cc", "metadata": {}, "outputs": [], @@ -105,8 +96,8 @@ }, { "cell_type": "code", - "execution_count": 108, - "id": "22659266", + "execution_count": 7, + "id": "8e79c8e1", "metadata": {}, "outputs": [], "source": [ @@ -121,7 +112,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 8, "id": "24dce8c5", "metadata": {}, "outputs": [], @@ -135,7 +126,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 9, "id": "11fccaf6", "metadata": {}, "outputs": [], @@ -145,7 +136,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 10, "id": "65297e2a", "metadata": {}, "outputs": [ @@ -155,7 +146,7 @@ "array([1., 1., 1.])" ] }, - "execution_count": 52, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -166,13 +157,13 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 11, "id": "afa02c16", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -202,13 +193,13 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "id": "d228f979", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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" ] @@ -238,7 +229,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 13, "id": "98286d13", "metadata": {}, "outputs": [], @@ -263,7 +254,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 14, "id": "5ad02c62", "metadata": { "scrolled": false @@ -285,13 +276,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 18, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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cEDvttFM0adIkOnToEMcee2xcffXVm50orQ1LliyJadOmxcUXXxzf+c53ImLjSaELLrigVvOCmli9enXMnDkzfve730X//v1zd+D47ne/W8uZRaxbty6+8Y1vxIYNG+IHP/jBNimy2hZjFxRSIbfhLK6GlCRJ/OUvf4mIiBYtWsSZZ55ZYTvHqGnIli5dmttGf/Ob38Quu+yyzfvcsGFDfPTRR/Hkk0/G6aefHnfffXdERPTq1StOPPHEzdqWvYrismXLqoxbdvnrr79ebrlj1DRU48aNi169ekXz5s2jdevWsffee8fw4cNj4sSJWxU3q/PFaaQ5z1QVx6ep77bVdrwtzhdndZ7JMWqohlq8dTTbkTVr1iQRkURE8oUvfCFv+5YtWyYRkRx++OHV6udHP/pRrp+pU6dW2fbaa6/NtX3kkUc2W9axY8ckIpL99tsvb5/77bdfEhFJp06dNvv/CRMm5OJfe+21VcaYOnVqru2Pf/zjvH1CbSjUdjx27NhcP1dddVWy88475/695aNRo0bJ9ddfX8M1SpIzzzwzF2vcuHGVtis7tpxxxhnJ/fffn0ydOjV58MEHk6997WtJo0aNkohIvvKVrySlpaU1zgdqw7vvvpv7+x4+fHjB+v3HP/6Rakzp3r17pWPApsdRRx2VzJkzp0Z5nHvuubk4jz32WE1XB2rNttqGV6xYkRx//PFJRCRNmzZNLrnkkuSf//xnMmXKlOSee+5J+vXrl0RE0rhx4+TGG2+sNM6///3vpH379klEJHvuuWcyatSo5Nlnn00mTpyY/Pa3v006dOiQRETSo0eP5I033qgwxsSJE/OOA40aNUpGjhyZbNiwIbP3AGrD+vXrk759+6b+XluVkSNH5t122rVrl4wfP77asTe9vl+/ftV+7fDhwyvNp3nz5sm9995b7ZhQW8aMGVPlNnbppZdmum8qu/28++67qV935ZVXJhGR7LHHHsnq1asrzH/MmDE1zmvevHlJ69atk4hIdt555836gLqs0NvwJnvssUduv7ds2bIaxXjqqadyeX7lK1+ptJ1j1DRk3/jGN5KISI488sjNttWy8+CJEydm0ldVx6e6d++evPbaaxW+rnPnzrn946efflpp/IEDB+biHXHEERW2cYyahiTfd9WISE477bRk6dKlNYqf1fniNNKeZ6qM49PUV9t6O87yfHEW55kco4aaqfwyV5ChFStW5J6n+YVHy5YtY9WqVbFy5cpt1k/ZX6lt2c+mOGlzrSrG1uYCdUWhtuNNv+aMiLj88svj008/jS9+8Ytx2WWXRZ8+fWLZsmVx//33x49//ONYvnx5XHzxxdGrV684+eSTq9XP/fffH/fdd19ERBxyyCFVXhL/6quvjs9//vPx61//Oh544IF44IEHNlt+8MEHx49//OP40pe+VK0cYHu1ePHi3NWQGjdunLvaWkWaNGkSgwYNigEDBkSfPn2ibdu2sXTp0igpKYmbb745Zs+eHf/+97/jhBNOiJKSkmjbtm3qPFavXh33339/RER07do1Pv/5z2/dikED0qpVq5gwYUKMHTs2rr766rjuuuviuuuu26zNGWecET/84Q/jsMMOqzTOkUceGdOmTYs//OEP8Yc//KHc1c9atWoVl19+eXz729+OnXfeudI4nTt3jjPOOCOOPvro2GOPPaK4uDg++OCDeOihh+LOO++MdevWxeWXXx5r166t9KoRUB9cf/31uVssnn766fHZz352q+Ltv//+cdppp0Xfvn2jS5cusW7dunjzzTfjrrvuikcffTSWLl0agwcPjoceeqja8+msDRkyJH7zm99E9+7dazUPyMJBBx0Uo0aNqnIfWSizZs3KzbdvvPHGaN68eabxkySJCy64IHfM4Be/+EXmfUChbctteNKkSbnbq55++um5u/BUV9qrLTpGTUP17LPPxp///OcoLi6OUaNGRVFRUcFzKC4ujl/+8pfx3e9+t9Jt+dRTT41Ro0bFwoUL47rrrouf/OQn5do8++yz8fDDD+f+XXa7LcsxahqSFi1axKBBg+K4446LffbZJ1q1ahULFiyIp59+OkaNGhWLFi2K8ePHx6mnnhqPPfZY7LDDDtWKX6j9X3XOM1XE8Wnqs229HWd5vjir80yOUUMN1HZVJNuHDz74IFchPmzYsLztu3XrlruaSnV87Wtfy/Xz9ttvV9l29OjRubZ33nnnZss2/aLsmGOOydvnMccck0RsvEpMWXfccUcu/ujRo6uM8fbbb+fafv3rX8/bJ9SGQm3HV1xxxWa/Khk4cGCyfv36cu0mTZqU21b79OlTrV+dzJgxI3cVh+bNmyf/+c9/qmw/b9685Ctf+UrSrFmzCn/5UlxcnAwaNCiZMWNGtdYV6oJCXymxtLQ0Oemkk3J9jhw5ssr2S5YsqXTZ8uXLkwEDBuRiff/7369WLnfddZerQFDvbcttuKSkJPn85z+fFBUVVbj/a9OmTfKtb32ryqu7bNiwIbnuuuuq/DVq7969k7Fjx1YaY+XKlcnatWsrXf78888nbdu2TSIiKSoqSqZNm7Y1qw215qmnnkqKi4uTiEg6dOiQzJ8/f6viVbUPTZIkGTVqVG477NKlS7WubLbpdTW5UuKcOXOS6dOnJ9OnT0/+/e9/JzfffHPymc98JomI5Oijj07eeuutaseE2rJkyZLc3/OUKVOSv/71r8npp5+e+y780EMPZdpfTa6UeNxxxyURkZx11lnllmVxpcRf/epXuRj9+/ev8Ps71FWF3oaT5L9XdosaXo0pSTbezaRNmzZJRCS77rprldudY9Q0RJ9++mnSu3fvJCKSH/zgB+WWb4srJb755pvJ9OnTk1deeSV58sknkyuuuCLp0qVL0qRJk2TYsGHJihUrKnzde++9l9tei4qKku9973vJW2+9laxduzb58MMPk//93/9NWrdunRQVFeW+C1R2PN0xahqSqr6vzp8/Pzn44INzf9s33HBDteNndb64KtU9z1QRx6epz7b1dpzl+eIszjM5Rg010yhf0SJkoVmzZrnna9euzdv+008/jYio9i+rq9PPpj4q6mdTnK3JNatcoK6oje04IuLaa6+NRo3K766OPvroOOOMMyIi4rXXXovXXnstVfx58+bFySefHCtWrIiioqIYPXp07LvvvpW2nzFjRvTt2zfuuuuuaNmyZdx0000xe/bsWLt2bcyfPz/uuOOO6NKlSzz44INxxBFHxKRJk6qxtrD9+fa3vx2PPPJIRER84QtfiF/84hdVtm/Xrl2ly1q3bh333ntv7LTTThERceutt6YanzYpe2WJc845J/XrYHtw3333xbHHHhtPPvlk7L///vG3v/0tFi1aFGvXro233347rrrqqli3bl3cfPPNceSRR8b8+fPLxdiwYUMMGTIkLrnkknj//ffj61//erz00kuxZs2aWLlyZTz77LMxaNCgmDFjRpx77rlxySWXVJhLy5Ytq/wlbd++fePGG2+MiI1Xa9r0HOqT//znP3H66adHaWlpNG3aNO69997o2LHjVsWsah8aEXH++efHeeedFxEb58hbXmllW9l1112jT58+0adPnzjyyCPjggsuiClTpsT5558fzz77bBx22GHxyiuvFCQX2Frt2rXL/T0feuih8eUvfzkeeOCBuOOOO+Kdd96JU089NcaOHVtr+Y0dOzaeeOKJaNOmTfz+97/PPP5dd92Vm8/36NEj7r777gq/v0NdVeht+NNPP41x48ZFRESXLl3i+OOPr1Gc8ePHx/LlyyMi4qtf/WqV251j1DREV111VcyYMSN22223GDlyZEH67NmzZ/Tp0ycOOOCA6N+/f/z85z+P1157LQ488MC4884746ijjqrwCofdu3ePcePGRevWrSNJkvj9738fPXv2jCZNmkTnzp3jwgsvjBUrVsTVV1+d215bt25dLo5j1DQ0VX1f7dixY9x3333RpEmTiIj44x//WO3423r/V93zTJVxfJr6rJDbccTWnS/O4jyTY9RQM44SURBlv0SlufT1qlWrIiLdLWJr2s+mPirqZ1Ocrck1q1ygrqiN7Xj33XePXr16Vdr2xBNPzD2fOnVq3tiLFy+OAQMGxHvvvRcRETfccEMMHTq0ytcMGzYs5syZEy1atIhJkybFt771rejatWvssMMO0bFjxxg2bFiUlJREx44dY+nSpTF06NDNvsQC//WTn/wkbr311ojY+EVx3Lhx0bhx462K2bZt2/jyl78cERvHnRdeeCHV6z788MN4/PHHIyLi0EMPjd69e29VHtCQfPTRR3HuuefGp59+Gvvtt19Mnjw5TjvttGjfvn3ssMMOsccee8RPfvKTeOihh6KoqCj+85//xEUXXVQuzk033ZQ76XrZZZfFn//85zj44IOjWbNm0bJlyzjqqKPi73//ewwbNiwiIn73u99tdsuq6hgyZEjuthpPP/10Ddccase7774bAwYMiCVLlkTjxo3jr3/9a/Tr168gfZ9//vm557W57TRu3Dj+8Ic/RLdu3WLJkiXxrW99q9ZygSwMGzYszjrrrNiwYUNceOGFsWTJkoLnsGDBgrj00ksjIuKKK66ILl26ZBr/4YcfjhEjRkSSJNGxY8d47LHHolOnTpn2AbVlW23Df//732Pp0qUREfGVr3ylxt+Hq1PA4Bg1Dc0bb7wRv/71ryNiY4FD2duuFtqOO+4Yt99+e0REvPrqq7m8tjRgwIB4+eWX4+tf/3qu4GGTww8/PP75z3/Gd77zndw2uuOOO5aL4Rg125s99tgjTjjhhIiImDVrVsybN69ar9+W+7+anGeqiOPTNHRZbsdZny/eUk3PM23JMWooT1EiBdGsWbPYeeedIyJizpw5VbZdsmRJbgLYrVu3avXTtWvX3PN8/cyePTv3fMt+NsXJF6NsnMpibG0uUFcUajsu277sdpSv7ccff1xl2xUrVsRJJ50U//nPfyJi40mZigooynrllVfixRdfjIiNB4sr+1LYpUuXXKy5c+fmrgIH/NdvfvObuPrqqyMi4jOf+Uz84x//yOzKC2V/hTp37txUr7nrrrti/fr1EeFXqLCle+65J7cf/+lPf1rpSZ7jjjsujjvuuIiIeOCBB8qdrB09enREbDyA9OMf/7jS/q666qrc8z//+c81yrm4uDh69uwZEenHAagL5s2bF8cff3zMmzcvioqK4rbbbovTTz+9YP3XZB+6rTRp0iROOumkiIgoKSmp9sFqqGtOPfXUiNh4QmPChAkF7//Pf/5zLFq0KNq1axc77bRT3HPPPeUezz//fK79888/n/v/fN+vn3rqqTjzzDNj3bp1seOOO8ajjz4ae+2117ZeJSiobbENZ3E1pI8++igeffTRiIg45JBD8l6VyTFqGprrr78+1q5dG3vssUesXr26wv1b2SskPfnkk7n/L1t4lJXevXvH3nvvHREb7zhQmT322CP+/Oc/x4IFC2LevHnx5ptvxrJly6KkpCROPvnkza4UvuV27Rg126ut+b66rfZ/NTnPVBnHp9kebM12vK3OF1cmi2NkjlFDecW1nQDbj969e8ekSZNi1qxZUVpaGsXFFf/5vfHGG5u9pjrK7izKxqmqn+Li4nIHTvfdd9948cUXY9myZTF//vxKf+n94Ycf5m6VsWWuPXv2jMaNG8f69etT51JRHKhLCrEd77fffrnnm76QVabs8spyiYhYs2ZNDBw4MPfrmB/84Afx85//PG8uM2bMyD3/zGc+U2XbQw45JPf8jTfeyB28BjZeLW1TQVLv3r3jX//6V+7XYllIkqTar7nzzjsjImKHHXao0S9ZoSGr7v7v8ccfjw0bNsRbb70Vhx12WLk4++67bzRt2rTSGF27do2OHTvGRx99lHfeXJWajAVQmxYuXBgnnHBCvPPOOxGx8UovhT4RUde2m1122SX3/P3338/8ym5QSFv+PRfapqsjLV26NL761a/mbT9q1KgYNWpURERMnDgxOnToUGG7KVOmxMCBA+OTTz6JVq1axYQJE+KAAw7ILnGoI7Lehj/++OP417/+FREb59h9+vSpUZyyBQzDhw/P294xahqaTfu3d955J9XxnCuuuCL3/N13390mV1bcZZddYubMmanGiqKioujcuXN07tx5s/9/9tlnc8/Lfq+OcIya7dfWfF/N6nxxWTU9z1QZx6fZHmzNdrwtzhdXJatjZHXtWBvUNldKpGCOPvroiNj469JNv+qqSNlL2R511FHV6uPQQw+NJk2alIuzpbVr18Zzzz1X7jVb5povTlW5NmnSJPr27RsRG6/ysHbt2rxxmjZtGp/97GcrbQe1rRDbcffu3WO33XaLiIi33367yrZll++6664Vtlm3bl0MHjw4l9MFF1wQ11xzTapcyk5cS0tLq2y7bt26Cl8H27s777wzLrzwwojY+Kvwxx9/PHfV1ay8/vrruedpihdefvnlePXVVyMi4gtf+EK5W+fA9i6r/d+mf+eLUTZOTfehpaWl8dZbb0VEunEAatuyZcvixBNPzO3Drr766vjOd75T8Dyquw/d1sr+itxtI6nvGuLf86uvvhonnXRSrFy5Mpo1axYPPfRQucIJaCiy3obvvvvu3Lx4a36EsOlqi2kLGByjhm1v03ixNWPF3XffHRERzZs3j4EDB262zDFqtldb8301q/PFm2zNeaaKOD7N9mJrtuOszxfnk8UxMseooTxFiRTMaaedlns+ZsyYCtts2LAhd2ClXbt20b9//2r10bp169wt5B5//PFKL8n9wAMP5K5wWNGtsQYNGhSNGjWqMteIiLFjx0ZERKNGjWLQoEHllm9a5+XLl8cDDzxQYYw5c+bE448/HhEbb4HXunXrSvuD2laI7TgiYvDgwRGx8ZY0kydPrrRd2e3qmGOOKbd8/fr1cfbZZ+duszNs2LC46aabUuex++67555PmjSpyrZlv9iWfR1szx544IEYMWJEJEkSXbt2jSeeeCLzL2LLli2L//u//4uIiBYtWqQ6cVL2lllpriwB25vq7P+eeeaZiNh4tYcePXpUGOe1116LpUuXVhrjtddei8WLF5fruzruueee3Py+X79+NYoBhbJ69er4whe+EC+99FJERPzsZz+LH/3oR7WSyy233JJ7XtvbTtnbYzZv3jz23HPPWs0Htta4ceNyz/fff/+C93/ZZZdFkiRVPsp+rx8zZkzu/4899thy8d56660YMGBALFmyJHbYYYe4//77K2wHDUXW2/Cm76HFxcVx9tln1yjG9OnTc7d4PeWUU1L/4M8xahqSsWPH5t2/jRw5Mtd+4sSJuf/f8jtrFqZOnZq7QmJNx4px48bltu2zzz472rVrt9lyx6jZHr3zzjvx2GOPRcTGH7pXt8goq/PFEVt/nqkijk+zPdja7Tgiu/PF+dTkPFNFHKOGCiRQQMccc0wSEUlxcXEyefLkcsuvueaaJCKSiEhGjhxZbvmYMWOqXJ4kSfLEE0/k2gwaNCgpLS3dbPmCBQuS3XbbLYmIpF27dsnixYsrjDNs2LBcnHHjxpVbfu+99+aWDx8+vMIYixYtStq2bZtERNK9e/dk4cKFmy0vLS1NBg4cmIvz5JNPVhgH6pJCbMfvv/9+0qxZsyQikkMOOSRZuXJluTZ33nlnLs4XvvCFcss3bNiQjBgxItdm8ODB5caDfNavX5/suuuuSUQkjRs3Th5//PEK27344otJy5Ytk4hIWrRokSxZsqRa/UBtevfdd/Puz7aUZjv+17/+lTRp0iSJiKRDhw7JG2+8Ue3cJkyYkKxevbrS5cuXL08GDBiQy+Wiiy7KG7O0tDTp1KlTEhHJTjvtlKxdu7baeUFdsi224RkzZiRFRUVJRCS77rprMmfOnArj3HLLLbk4RxxxRLnlP/nJT3LLR4wYkWzYsKFcmzVr1iT9+/fPtbvllls2W7548eJk4sSJVa7P888/n7Rr1y6JiKSoqCiZOnVqle2hNn366aeb7bu++93v1ihOvu341VdfTWbOnFlljFGjRuVidOrUqcI5d2U2va5fv3552y5YsCC57777qmyzZs2a5Etf+lIu7le/+tXUuUChjRkzJlmzZk2VbX73u9/l/p579OiRrFu3rlyMfPPpigwfPjz3unfffbcG2W+ubB5jxoyptN3777+fdOvWLffduKLjZFBf1MY2/Nprr+XaDxw4sMa5X3LJJbk4999/f+rXOUbN9mbkyJG5v+fKvk/m246ff/755MUXX6yynzlz5iS9e/fOxfnzn/9cYbv333+/0hjPPfdc0qZNmyQikvbt2ycfffRRuTaOUdPQPPjgg+X2rWXNnz8/Ofjgg3Pb1nXXXVeuTaHOF2dxnmlLjk/TEBRqO87ifHEW55kco4aac+1uCuqGG26Io446KtasWRMDBgyIn/70p9G/f/9Ys2ZN3HPPPXHrrbdGRETPnj3jkksuqVEfn//85+PLX/5y3HPPPfHggw/GCSecEN/73veiS5cuMX369Ljyyivjgw8+iIiNt8jacccdK4xz5ZVXxiOPPBILFiyIoUOHxgsvvBBf/OIXIyLiH//4R1x33XUREbHLLrvEr371qwpjtG/fPn7zm9/EBRdcEO+//34cdthh8bOf/Sz233//mDdvXvz+97+PiRMnRkTE0KFDa3RFOSi0QmzHu+22W/zP//xP/PCHP4wXX3wx+vbtGz/84Q+jT58+sWzZsnjggQdi1KhRERHRpk2buP7668vFuPTSS3NXfejTp0/89Kc/jRkzZlTZb58+fTb7d6NGjeLXv/51nHPOObF+/fo4+eST4/zzz4+BAwdGhw4dYvHixfHoo4/GH//4x1i9enVERPzkJz8p92tWqEueffbZmDVrVu7fCxcuzD2fNWtW7irAm5x77rnV7uO5556L008/PdauXRs77LBDXH/99bFu3bp47bXXKn1N165dy207V199dXzlK1+JM844I44++ujYc889o1WrVrF06dIoKSmJm2++OWbPnh0REb169YrLLrssb27/+te/Yv78+RGxcd+7ww47VHv9oDYVYhveZ599YsSIEXHbbbfF3Llz4+CDD47vfe97ccwxx0Tr1q1j9uzZcc899+RuL9W4ceO46qqrysW5+OKLY/To0fHxxx/HmDFjYubMmXHBBRfEPvvsE+vXr49p06bFH/7wh9ytMXr37l0u32XLlkX//v3jgAMOiNNOOy0OOeSQ6Ny5czRu3Dg++OCDeOihh+LOO+/M3aLq0ksvdas56rShQ4fGo48+GhEbv7t+/etfr3L/2KRJk+jZs2e1+3nxxRfjvPPOi/79+8fJJ58c+++/f+y0005RWloab7zxRvzlL3/J/Vq9cePGccstt0TLli0rjPXyyy/Hyy+/XOGy+fPnlxt3zjzzzM1uXbdy5co488wzY6+99orBgwdH3759Y9ddd42mTZvGwoULY8qUKTF69Oh45513ImLjbXZ+85vfVHudoVAuu+yyuOSSS2Lw4MGbzVFXrFgR06dPj7vuuiv+/e9/R8TGbfhPf/pTjW6fuHLlyrjvvvs2+7+yc4D77rtvs6ukHXTQQXHQQQfVbKWqsGjRojj++ONz8+5LLrkk9tlnnyrHrh133LHGt8yCba1Q23BZt99+e+55Ta+GtH79+tz8u3379rnj1Gk4Rg3V9/rrr8eIESPiyCOPjIEDB8ZBBx0Uu+yyS0RsvF3zxIkTY8yYMbFs2bKIiDj++ONjxIgRFcb6whe+EK1bt46zzz47DjzwwGjZsmXMnTs3HnzwwRg7dmyUlpZG06ZN4+67744OHTqUe71j1DQ0F110Ue52yEcccUT06NEjmjdvHgsXLoynnnoqRo0aFYsWLYqIiKOPPjq+853v1KifLM4XZ3GeaUuOT9MQFGo7zuJ8cRbnmRyjhq1Q21WRbH8efPDB3C+/Knr07Nmz0is6pP0V6urVq5NTTjml0j4aNWqU6leszz33XO7XKhU9OnXqlDz33HN54/zyl7/MXW2moscpp5y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nl1teqHEOSK8+jUVpTJ8+PRdj0KBBFbZxAh7qlvo2DmVRlGhOBHVPfRuL8jn88MOTiEiKioqS9957r8I25kRQ99Tm+aHqFiVuL8eKGgU0ME899VQsXbo0IiKGDx8ejRpV/Gd+7rnn5p4/8MADBcisYjNnzozXX389IiKGDBkSLVq0qLBdvnzHjx+fez5ixIgKYzRq1CjOOeeciIhYsmRJPPXUUzVLGsirkGPRpu2/TZs2ccYZZ1TYpmvXrnH88cdHRMRjjz0WK1eurFYfGzZsiLvuuisiIlq2bBmDBw+uUa5A4TS0cai6uUSYE0Fd0BDHoiZNmsRRRx0VERFLly6NRYsW1ShfYOsUYp+/cuXKeOKJJyIi4oQTToiuXbtW2O6MM86INm3aRETFY9iDDz4Y69evrzLXiP+OhevXr48HH3yw3PK6NOcCNqpPY1Eaffr0iZ133jkiIt5+++0axQAKq6GNQ2mYE0Hd05DGopkzZ8Zzzz0XERH9+vWL7t27VzsGUDvq0/mh7eVYkaJEGpxJkyblnvfr16/Sdp/97GejZcuWERHx7LPPbvO8KpM2306dOkXPnj0jouJ8N8Vp2bJlHHLIIZXGKdtHba43NHSFGovWrl0bU6ZMiYiII444Ipo0aVJp2015fPrppzF16tRq9TNx4sSYPXt2REQMHjw4lzNQdzW0cSgtcyKoWxrqWPTpp5/mnldWaAlsW4XY50+ZMiW3vVc1hjVp0iQOP/zw3GvWrVtXYa754lSVa12bcwEb1aexKK21a9dGhDkO1BcNcRyqijkR1E0NaSy64447cs83FS4B9UN9Oj+0vRwr8q2SBmfGjBm55/vss0+l7YqLi2PPPfcs95pCS5tv2eWzZ8+OVatWVRhnr732iuLi4rwxtuwbyFahxqKZM2dGaWlp3n62XF7dvsp+CRs+fHiq14wbNy569eoVzZs3j9atW8fee+8dw4cPj4kTJ1arb6Bm6vM4tGjRojjmmGOiXbt20bRp0+jcuXOceOKJ8b//+7+xevXqKvswJ4K6pT6PRZVZt25dlJSUREREhw4don379lW2NyeCbaMQ+/yaHLMpLS2NmTNnVhinbdu20alTp0pjdO7cOXdFjy1zLeQ4B6RXn8aiNKZNmxbLly9P1VdExE9/+tPo2rVrNGnSJHbcccc4+OCD4/vf/3689dZb1e4bqJn6Og4988wzccABB0TLli2jRYsWsfvuu8eQIUNi/PjxkSRJpa8zJ4K6qb6ORVtKkiT+8pe/REREixYt4swzz0z1OnMiqBvq0/mh7eVYkaJEGpxNV/Jq2bJltGvXrsq23bp1i4iIBQsWbHali0LalG9EVHqZ6U025ZskScyZMyf3/5988kksXLgwVYwdd9wxdwWSsn0D2SrUWFSTMWTL1+WzatWq3CXuu3XrFscee2yq173++uvx1ltvxSeffBIrV66MWbNmxR133BGf//zn4/TTT49ly5alzgGovvo8Dq1cuTKeffbZWLZsWaxduzbmz58fjz76aFx00UXRs2fPmDx5coWvMyeCuqc+j0WVufXWW3NjzVlnnZW3vTkRZK9Q+/ysxpZN/84Xo2ycymJsbS5AdurbWJTGVVddlXv+pS99KW/7kpKSmDt3bqxbty6WLl0aL7/8cvz+97+P3r17x2WXXVZlYRGw9erzOPTuu+/G9OnTY/Xq1bFmzZp477334t57743TTz89jjnmmJg7d27BcgG2Tn0ei7b0zDPPxHvvvRcREaeffnq0bt061evMiaD21bfzQ9vLsaLKS0OhnlqxYkVERLRq1Spv27K3H125cmU0bdp0m+VVmU35RuTPect8axJjU5xVq1YV9F7xsL0p1FiUxRiSzwMPPJBrP2zYsLy372nRokUMGjQojjvuuNhnn32iVatWsWDBgnj66adj1KhRsWjRohg/fnyceuqp8dhjj8UOO+yQOhcgvfo4DhUVFcXhhx8eAwcOjM985jPRsWPH+OSTT2L69OkxevTomDJlSsydOzcGDBgQkyZNioMPPrjGuWzKx5wItq36OBZV5Z133omf/exnuX5++tOfVtrWnAi2nULt87MaW2oyFlYWY2tzAbJT38aifO6///647777IiLikEMOicGDB1fatnPnznHGGWfE0UcfHXvssUcUFxfHBx98EA899FDceeedsW7durj88stj7dq1mxU6Atmqj+NQkyZNYtCgQTFgwIDo06dPtG3bNpYuXRolJSVx8803x+zZs+Pf//53nHDCCVFSUhJt27bdZrkA2aiPY1FlqnvXMHMiqDvq2/mh7eVYkaJEGpxPPvkkIqLK+6VvUvYk15o1a7ZZTlXZlG9E/pwry7c6McrGqa11hu1BocaiLMaQfO68887c83POOSdv+7lz51Z4JaQTTjghLrroojj55JNj2rRp8fTTT8fNN98c/+///b/UuQDp1cdx6Prrr69w/DjiiCPiG9/4Rvz85z+Pq666KlatWhXnnXdevPDCC1FUVFSjXMrmY04E2059HIsqs3r16jjjjDNyVzb84x//GF26dKm0vTkRbDuF2udnNbbUZCysLMbW5gJkp76NRVV54403YsSIERER0bx587jjjjs2+65V1qGHHhrvv/9+uR9UfOYzn4nTTjstzj///BgwYEAsW7Ysrr766vjSl74UBx10UOpcgPTq4zg0ZcqUCr8nHXvssXHhhRfGmWeeGY8++mjMmDEjLr/88vjd7363zXIBslEfx6LK4m/6gcauu+4axx13XJXtzYmgbqlv54e2l2NFbt9MrSktLY2ioqKtfowdO3azuM2aNYuIiLVr1+bNoewtwZo3b57p+qW1Kd+I/DlXlm91YpSNU1vrDHVJfR+LshhDqjJv3rx44oknIiLisMMOi169euV9TVW3ZuzYsWPcd999uYnRH//4x1R5QENmHPqvqsaPoqKiuPLKK+P444+PiIiXXnqp3G2czYmg5oxFVSstLY2zzjorXnnllYiIOP/88+Pcc8+t8jXmRLDtFGqfn9XYUpOxsLIYW5sLkJ36NhZVZt68eXHyySfHihUroqioKEaPHh377rtvpe1btmxZ5RWe+/btGzfeeGNERCRJknsOZK8+jkNVfU9q3bp13HvvvbHTTjtFRMStt95arj9zIqh76uNYVJHx48fH8uXLIyLiq1/9at67hpkTQd1S384PbS/HihQl0uC0bt06ItJdcnTVqlW552kui7otbMo3In/OleVbnRhl49TWOsP2oFBjURZjSFX+8pe/xIYNGyIi3VUS09hjjz3ihBNOiIiIWbNmxbx58zKJC2yuoYxDWzr//PNzz59++uka51I2H3Mi2HYawliUJEmce+658c9//jMiIs4666y46aabqpVfRcyJoOYKtc/PamypyVhYWYytzQXITn0biyqyePHiGDBgQLz33nsREXHDDTfE0KFDq5VfRYYMGZK75eqW39uA7DSEcWhLbdu2jS9/+cu5WC+88EKt5QKk01DGorK3bs7qfJg5ERROfTs/tL0cK3L7ZmpNcXFxzJgxY6vjdO7cebN/d+3aNZ5//vlYtWpVLF26tMpfXc2ePTsiInbZZZfNLldaSF27ds09nzNnTuy8886Vtt2Ub1FR0Wava9asWey8886xcOHCmDNnTpX9LVmyJDfgdOvWbWtShwahvo9FW44hVdnUT0T67X/TrZubNGmSOxiUhX333TcefvjhiNh4a8Oqbn0IDZ1xqHrKXrFj7ty5my0zJ4KaMxZV7jvf+U7cddddERFx8sknx1133ZX31/JpmRNBzRRqn7/l2PLZz3620rZVjS1du3aNjz76KG+uZeNUFKNsLmliVBQHyE59G4u2tGLFijjppJPiP//5T0REXHHFFXHRRRdVK7fKFBcXR8+ePWPq1KnlvrcB2anv41Blqjr2Y04EdU9DGIs++uijePTRRyMi4pBDDqnyqtHVYU4EhVPfzg9tL8eKFCVSq/bZZ5/MY+67775x//33R0TEG2+8EYcffniF7UpLS+Ptt9+OiIjevXtnnkdaZSc1b7zxRhx00EGVtn3jjTciYuMg0bJly82W9e7dOyZNmhSzZs2K0tLSKC6uePPeFGPTa4D6PRb17NkzGjduHOvXr99s+65Idbf/l156KV577bWIiPjiF78Y7du3r3Z+lUmSJLNY0BAYh9LLN36YE0HNGYvK+9GPfhQ333xzRER87nOfi/vvv7/KW/NUlzkR1Fwh9vlbHrOpyqblxcXFsddee5WL8+KLL8ayZcti/vz50alTpwpjfPjhh7nbhW2Za6HnXEA69WksKmvNmjUxcODAmDp1akRE/OAHP4if//zn1corH/McKIz6Og5Vparxw5wI6qb6PhbdddddsX79+oiIGD58eLXyysecCAqnPp0f2l6OFbl9Mw3O0UcfnXte1WWQX3jhhVz181FHHbXN86pM2nznz58fb731VkRUnO+mOKtWrYoXX3yx0jhl+6jN9YaGrlBjUZMmTaJv374REVFSUhJr166ttO2mPJo2bVrlL8g22RaXqt/k9ddfzz13RSDYNhrCOFSRfOOHORHULfV5LPrVr34V11xzTUREHHroofGPf/wjmjdvXu3cqmJOBDVXiH3+oYceGk2aNCkXZ0tr166N5557rtxrtsw1X5yqci30nAtIpz6NRZusW7cuBg8enIt1wQUX5OY8WSktLc0dyzbHgW2rPo5D+VT1PcmcCOqm+j4WbToftsMOO8TQoUOrlVdVzImgsOrT+aHt5ViRokQanGOPPTbatm0bERG33357pb8+GDt2bO756aefXojUKtSzZ89cJfK9994bq1evrrBdvnxPO+203PMxY8ZUGGPDhg25SVW7du2if//+NcwayKeQY9Gm7X/58uXxwAMPVNhmzpw58fjjj0dExHHHHRetW7euMmZpaWn89a9/jYiInXfeOU455ZQa5VaRd955Jx577LGIiNhjjz1i1113zSw28F/1fRyqzC233JJ73q9fv0pziTAngrqgvo5FN9xwQ/ziF7+IiIj9998/HnnkkRqPW5UxJ4KtU4h9fuvWreO4446LiIjHH3+80lvhPPDAA7lfrVc0hg0aNCh32/fKco3471jYqFGjGDRoULnlhZxzAenUp7EoImL9+vVx9tlnx4QJEyIiYtiwYXHTTTdVK5807rnnnlwuFX1vA7JT38ahfJYtWxb/93//FxERLVq0qPCkuTkR1D31eSyaPn16vPLKKxERccopp8TOO+9crbyqYk4EhVWfzg9tN8eKEmiAfvGLXyQRkUREcs0115RbPnny5KS4uDiJiKRfv34Vxnj33XdzMSprU5ExY8bkXjdmzJhUrxk9enTuNd/5znfKLZ81a1bSpk2bJCKSPffcM1m3bl2FcY455pgkIpLi4uJk8uTJ5ZZfc801uX5GjhyZep2AminUWLRo0aKkbdu2SUQk3bt3TxYuXLjZ8tLS0mTgwIG5OE8++WTe3B966KFc+4suuihv+00efPDBSseoJEmS+fPnJwcffHAu9nXXXZc6NlB99WkcKikpSebNm1fpumzYsCH52c9+lotx4IEHJhs2bKiwrTkR1C31aSxKkiS57bbbkqKioiQikp49eybz58+v1vomiTkRFMrW7vPLHsOpbE7wxBNP5NoMGjQoKS0t3Wz5ggULkt122y2JiKRdu3bJ4sWLK4wzbNiwXJxx48aVW37vvffmlg8fPrzCGNviux+w9erLWLRhw4ZkxIgRuTiDBw8uFyefxYsXJxMnTqyyzfPPP5+0a9cuiYikqKgomTp1arX6AKqvvoxDEyZMSFavXl3peixfvjwZMGBA3uPS5kRQN9WXsWhLl1xySS7m/fffn2pdzYmg7irEWFSR4cOH51737rvvpnrN9nCsSFEiDdLy5cuTnj175jasb37zm8mTTz6ZlJSUJFdddVXSqlWrJCKS5s2bJ9OmTaswRtqixHHjxiVjxozJPb7+9a/nXvf1r399s2UTJkyoMEZpaWly1FFHbXZA6JFHHkmef/755I9//GPSoUOHJCKSRo0aJf/85z8rzeWll15KmjdvnkRE0qpVq+Sqq65KSkpKkieffDL55je/mYvfs2fPZPny5dV5S4EaKORYNGrUqFy7PffcM7ntttuSqVOnJn//+9+T/v3755YNHTo0Ve5nnXVW7jUvvPBC6nXu3r170qVLl+Siiy5K7r777mTy5MnJtGnTksceeyz52c9+luy00065uEcffXTyySefpI4NVF99GodGjhyZNG3aNDn11FOT//3f/02efPLJ5KWXXkpKSkqSW265Jenbt28uRosWLZIpU6ZUmos5EdQt9Wks+tvf/pY0btw4iYikTZs2yYQJE5Lp06dX+Vi5cmW5OOZEUBhbu89Pe6D5y1/+cq5d//79k7///e/J1KlTk9tuuy3Zc889c8tGjRpVaYwPPvgg2WWXXXIHxn/0ox8lkyZNSiZNmpT86Ec/yhVn77LLLsns2bMrjZP1dz9g69WXsejiiy/OtenTp0/y4osv5p3nbGnTnOyAAw5IfvnLXyZ///vfkylTpiQvvvhi8re//S352te+luywww65fn7wgx/U+H0F0qsv41C/fv2S9u3bJ+edd14yduzYZNKkScm0adOSiRMnJldddVXSrVu3XIxevXolixYtqjQXcyKoe+rLWFRWaWlp0rlz5yQikvbt2yeffvppqnU1J4K6qxBj0YoVKzarAxozZsxm9T7XXnvtZssqO+a9PRwrUpRIgzVz5sxk7733zm1gWz7atGmTPPTQQ5W+Pu1Jr+7du1fax5aPquIsWLAgOfTQQyt9bZMmTZJbb70173o/+OCDuasqVvTo2bNnMnPmzLxxgGwUaixKkiT55S9/mbuqT0WPU045JVmzZk3enJcuXZo0a9YsiYhk3333rdb6ph0TBw8enCxZsqRasYGaqS/j0MiRI1ONH7vttlvy7LPP5l1vcyKoW+rLWFT2F61pHxX9Mt6cCApna/b5aU96rV69OjnllFMq7aNRo0apfj3/3HPPJZ06dao0TqdOnZLnnnsub5ysvvsB2akPY1F1jmNvemyp7Jysqkfjxo2Tyy67rNKr2wPZqw/jUL9+/VKNIZ/73OeSOXPm5F1ncyKoe+rDWFTWhAkTcq/79re/nXo9zYmgbtvWY1HaMSDNmNbQjxUVBzRQe+21V0ybNi1uvPHGGDduXMyaNSvWrl0b3bp1i1NOOSW++93vRvfu3Ws7zZydd945Jk+eHH/605/i7rvvjhkzZsSqVauiS5cucdxxx8V3v/vd2G+//fLGGThwYLz66qtxww03xMMPPxxz5syJJk2axF577RVnnXVWXHjhhdGiRYsCrBEQUdix6PLLL48TTzwxbrzxxpg0aVJ89NFH0a5duzjwwANjxIgRMXTo0FRx7r333vjkk08iIuKcc86pVg633357PP3001FSUhLvvPNOLFy4MJYvXx6tWrWKbt26xZFHHhnDhw+PI444otrrB9RMfRmHRowYER07doySkpJ49dVX4+OPP45FixZFcXFx7LzzzvGZz3wmBg4cGGeffXY0a9Ysby7mRFC31JexKCvmRFA4hdjnN2/ePB5++OG4++67Y+zYsfHKK6/E0qVLo2PHjnHMMcfEhRdemGp7Puyww2L69Olxww03xPjx4+O9996LiIjdd989Tj311Pje974XO+20U944dWGcAzZXn8airdGlS5cYN25clJSUxJQpU2Lu3LmxcOHC+OSTT6Jt27bRq1evOPbYY+O8886LHj16bNNcgM3Vh3Hot7/9bTzxxBNRUlISb775ZixcuDCWLl0aLVq0iC5dusRhhx0WQ4cOjQEDBkRRUVHefMyJoO6pD2NRWXfeeWfueXXOh5kTQd1Wn84PNfRjRUVJkiS10jMAAAAAAAAAAADQoDSq7QQAAAAAAAAAAACAhkFRIgAAAAAAAAAAAJAJRYkAAAAAAAAAAABAJhQlAgAAAAAAAAAAAJlQlAgAAAAAAAAAAABkQlEiAAAAAAAAAAAAkAlFiQAAAAAAAAAAAEAmFCUCAAAAAAAAAAAAmVCUCAAAAAAAAAAAAGRCUSIAAAAAAAAAAACQCUWJAAAAAAAAAAAAQCYUJQIAAAAAAAAAAACZUJQIAAAAAAAAAAAAZEJRIgAAAAAAAAAAAJAJRYkAAAAAAAAAAABAJhQlAgAAAAAAAAAAAJlQlAgAAAAAAAAAAABkQlEiAAAAAAAAAAAAkAlFiQAAAAAAAAAAAEAmFCUCAAAAAAAAAAAAmVCUCAAAAAAAAAAAAGRCUSIAAAAAAAAAAACQCUWJAAAAAAAAAAAAQCYUJQIAAAAAAAAAAACZUJQIAAAAAAAAAAAAZOL/AxrhMJuIv7iJAAAAAElFTkSuQmCC\n", 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mnqkpxqf5KKpFOy5rvlhQIrSeJdcPhmXklltuqbweMmRIvWnatGmTL33pS0kWPHpi4aPeqjVjxozcc889SZK99torvXv3rjfdIYccki5duiRJRowYscT2W2+9NfPmzWu0rklyzDHHJEnmzZuXW2+9dYntC/e5S5cuOeSQQ+rNo3fv3tlzzz2TJH/5y18yY8aMBsuD1laLdpwkv/rVr5IknTt3zkknndTs91dr8803z9prr50kDT4Ca/bs2UmStdZaq9JvfFhdXV022mijJAsebQVUZ/fdd0+y4BE7r776aqvV4+qrr6689mgM+M+xL0nl+FafjTfeuPK6vuNfWfnAymbh8TFp+Bx1RbTo43w++OCDVqwJlGPhb3p5+j2feuqpGT9+fHbffffKdXtZBgwYUHm9MvVdrLiWdRteeB1aV1eXwYMHtyiPF198MQ8//HCSZLfddkufPn3qTWeMmhXdN77xjcyYMSNHH330YufStdDYOezMmTPz7LPPJkl23HHHdO3atcF89t133yTJpEmT8sADDyyx3Rg1NE9Z88XVqGaeqSnGp6F+tZovBpYdQYnUzMILqU6dOmWbbbZpMN1uu+1WeT169OhmlfHoo49WLrYWzefD2rdvn09/+tOV98yZM6feujaVT2N1nT17dh599NEkCy4427dv32Q+s2bNymOPPdZgOmhttWjHs2fPzh//+MckyX777ZfOnTsnSebOnZtx48bltddeWyzIYWktzKtNm/oPiX379k2SvP3225k+fXqD+bzyyiuLpQeatugAaUNtcFkriiLXXnttkgV926GHHtoq9YDlydprr50111wzyX+Ob/VZdKC1vuPfov+3NPnAymbRc93WOj62ht///veV15tttlkr1gSW3tixY/Pkk08mWX5+z4888kguvfTStG/fPpdeemnp+S8P5/ZQlmXdhl9++eU89NBDSZJdd901G264YYvyWTSAoaFAY2PUrOhuuOGG3H777VlzzTVz/vnn17z8xs5hp06dWnndo0ePRvNZdPv999+/xHZj1NA8Zc0XV6upeabGGJ+G+tV6vhhYNowQUTNjx45NkmyyySZp165dg+kWvXBb+J7mlvHhfBorZ+7cuXnxxRfrzadr165ZZ511GsyjZ8+elTtoPlzXF198MXPnzm1WXerLB5YntWjHTz31VOWu0h133DETJ07MkCFD0q1bt2ywwQbp06dPunbtmv33378ygNtSTzzxRGUQp6F2etxxxyVZcGF4zjnn1Jvm17/+daZMmbJYeqBpCwdZ27Vrl0022aTRtH/961+z5ZZbplOnTllttdWy4YYb5ogjjsgtt9ySoihaXIf77rsv48aNS7LgztiFF7awsvvqV7+aJPn73/+eO++8s940Z511VpKkbdu2OfbYY5fYvs8++2SDDTZIklx88cV57733lkgzfvz4DBs2LMmC4/4WW2zRaL1OO+209O7dO+3bt88aa6yRrbbaKt/5znfywgsvVLtrsNxbdBKyrECIvfbaK2uttVbat2+f7t27Z/fdd8+555672ERpa5g6dWqeeOKJnHjiifnmN7+ZZMGk0Ne+9rVWrRe0xPvvv58XX3wxP/vZzzJgwIDKEzi+/e1vt3LNkjlz5uQrX/lK5s+fn+9+97vLJMhqWfRdUEu1bMNlrIZUFEV+97vfJUlWW221HHbYYfWmM0bNiuydd96ptNHzzjsvH/vYx5Z5mfPnz8+kSZNy77335uCDD851112XJNl0002zzz77LJZ20VUUp02b1mi+i27/5z//ucR2Y9SsqG688cZsuummWXXVVbP66qvn4x//eI4++uiMGjVqqfIta764GtXMMzXG+DQfdcuqHS+L+eKy5pmMUUMztOKjo1mJzJw5s0hSJCkGDhzYZPpOnToVSYpPf/rTzSrne9/7XqWcxx57rNG0559/fiXtXXfdtdi2Hj16FEmKT37yk02W+clPfrJIUqyzzjqL/f+dd95Zyf/8889vNI/HHnuskvb73/9+k2VCa6hVOx42bFilnHPOOadYe+21K//+8F+bNm2Kiy66qIV7VBSHHXZYJa8bb7yxwXSL9i2HHHJIcfPNNxePPfZYceuttxb/9V//VbRp06ZIUhx11FHF3LlzW1wfaA2vvvpq5fd99NFH16zc22+/vao+pU+fPg32AQv/dt5552L8+PEtqscxxxxTyecvf/lLS3cHWs2yasPvvvtuseeeexZJig4dOhQnnXRS8ac//al49NFHi+HDhxe77bZbkaRo27Zt8etf/7rBfB588MFizTXXLJIUG2+8cTF06NBi9OjRxahRo4oLLrig6N69e5Gk2GCDDYrnnnuu3jxGjRrVZD/Qpk2b4vTTTy/mz59f2mcArWHevHnF9ttvX/V1bWNOP/30JttOt27diltuuaXZeS98/2677dbs9x599NEN1mfVVVctbrjhhmbnCa3lyiuvbLSNnXzyyaUemxZtP6+++mrV7zv77LOLJMVGG21UvP/++/XW/8orr2xxvSZMmFCsvvrqRZJi7bXXXqwMWJ7Vug0vtNFGG1WOe9OmTWtRHvfdd1+lnkcddVSD6YxRsyL7yle+UiQpdtppp8Xa6qLnwaNGjSqlrMbGp/r06VM8++yz9b6vZ8+elePjrFmzGsx/0KBBlfx23HHHetMYo2ZF0tS1apLis5/9bPHOO++0KP+y5ourUe08U0OMT/NRtazbcZnzxWXMMxmjhpZpeJkrKNG7775beV3NHR6dOnXKe++9lxkzZiyzcha9S+3D5SzMp9q6NpbH0tYFlhe1ascL7+ZMkjPPPDOzZs3KAQcckDPOOCObb755pk2blptvvjnf//73M3369Jx44onZdNNNs99++zWrnJtvvjk33XRTkmSbbbZpdEn8c889N3vssUd+8pOfZMSIERkxYsRi27faaqt8//vfz+c+97lm1QFWVlOmTKmshtS2bdvKamv1ad++fQ488MDsvffe2XzzzdO1a9e88847GTNmTC699NK8/vrrefDBB7PXXntlzJgx6dq1a9X1eP/993PzzTcnSXr37p099thj6XYMViCdO3fOnXfemWHDhuXcc8/NhRdemAsvvHCxNIccckhOOeWU7LDDDg3ms9NOO+WJJ57IL37xi/ziF79YYvWzzp0758wzz8w3vvGNrL322g3m07NnzxxyyCHZZZddstFGG6Vdu3Z57bXXctttt+Waa67JnDlzcuaZZ2b27NkNrhoBHwUXXXRR5RGLBx98cLbddtulym+LLbbIZz/72Wy//fbp1atX5syZk+effz7XXntt7r777rzzzjs59NBDc9tttzX7fLpsRxxxRM4777z06dOnVesBZejfv3+GDh3a6DGyVl566aXK+favf/3rrLrqqqXmXxRFvva1r1XGDH74wx+WXgbU2rJsww888EDl8aoHH3xw5Sk8zVXtaovGqFlRjR49OpdffnnatWuXoUOHpq6uruZ1aNeuXX70ox/l29/+doNt+aCDDsrQoUMzefLkXHjhhTn11FOXSDN69OjccccdlX8v2m4XZYyaFclqq62WAw88MJ/5zGey2WabpXPnznnrrbdy//33Z+jQoXn77bdzyy235KCDDspf/vKXrLLKKs3Kv1bHv+bMM9XH+DQfZcu6HZc5X1zWPJMxamiB1o6KZOXw2muvVSLEBw8e3GT69dZbr7KaSnP813/9V6Wcl19+udG0V1xxRSXtNddcs9i2hXeU7brrrk2WueuuuxbJglViFnX11VdX8r/iiisazePll1+upP3yl7/cZJnQGmrVjs8666zF7ioZNGhQMW/evCXSPfDAA5W2uvnmmzfrrpOxY8dWVnFYddVVi3/84x+Npp8wYUJx1FFHFR07dqz3zpd27doVBx54YDF27Nhm7SssD2q9UuLcuXOLfffdt1Lm6aef3mj6qVOnNrht+vTpxd57713J6zvf+U6z6nLttddaBYKPvGXZhseMGVPsscceRV1dXb3Hvy5duhRf//rXG13dZf78+cWFF17Y6N2o/fr1K4YNG9ZgHjNmzChmz57d4PZHHnmk6Nq1a5GkqKurK5544oml2W1oNffdd1/Rrl27IknRvXv3YuLEiUuVX2PH0KIoiqFDh1baYa9evZq1stnC97VkpcTx48cXzzzzTPHMM88UDz74YHHppZcWW2+9dZGk2GWXXYoXXnih2XlCa5k6dWrl9/zoo48Wv//974uDDz64ci182223lVpeS1ZK/MxnPlMkKQ4//PAltpWxUuKPf/zjSh4DBgyo9/odlle1bsNF8Z+V3dLC1ZiKYsHTTLp06VIkKdZdd91G250xalZEs2bNKvr161ckKb773e8usX1ZrJT4/PPPF88880zx1FNPFffee29x1llnFb169Srat29fDB48uHj33Xfrfd+//vWvSnutq6srTjjhhOKFF14oZs+eXfz73/8ufvWrXxWrr756UVdXV7kWaGg83Rg1K5LGrlcnTpxYbLXVVpXf9sUXX9zs/MuaL25Mc+eZ6mN8mo+yZd2Oy5wvLmOeyRg1tEybpoIWoQwdO3asvJ49e3aT6WfNmpUkzb6zujnlLCyjvnIW5rM0dS2rLrC8aI12nCTnn39+2rRZ8nC1yy675JBDDkmSPPvss3n22Weryn/ChAnZb7/98u6776auri5XXHFFPvGJTzSYfuzYsdl+++1z7bXXplOnTrnkkkvy+uuvZ/bs2Zk4cWKuvvrq9OrVK7feemt23HHHPPDAA83YW1j5fOMb38hdd92VJBk4cGB++MMfNpq+W7duDW5bffXVc8MNN2SttdZKklx22WVV9U8LLbqyxJe+9KWq3wcrg5tuuim777577r333myxxRb5wx/+kLfffjuzZ8/Oyy+/nHPOOSdz5szJpZdemp122ikTJ05cIo/58+fniCOOyEknnZRx48bly1/+cv7+979n5syZmTFjRkaPHp0DDzwwY8eOzTHHHJOTTjqp3rp06tSp0Ttpt99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" ] @@ -358,18 +349,18 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 15, "id": "250db589", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] }, - "execution_count": 44, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -380,7 +371,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 16, "id": "9857366d", "metadata": { "scrolled": true @@ -410,7 +401,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 17, "id": "db872d90", "metadata": {}, "outputs": [ @@ -430,7 +421,7 @@ "(0.0, 1.0)" ] }, - "execution_count": 20, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, @@ -458,7 +449,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 25, "id": "688dd638", "metadata": {}, "outputs": [ @@ -466,7 +457,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "{'000': 6.36333673e-07, '001': 0.4999991211931, '010': 1.21236614e-07, '011': 1.21236614e-07, '100': 1.21236614e-07, '101': 1.21236614e-07, '110': 0.4999991211931, '111': 6.36333673e-07}\n" + "{'000': 6.36333673e-07, '001': 0.4999991211931, '010': 1.21236614e-07, '011': 1.21236614e-07, '100': 1.21236614e-07, '101': 1.21236614e-07, '110': 0.4999991211931, '111': 6.36333673e-07}\n", + "[-5.28388852e-04 -7.07105901e-01 1.24892368e-04 1.24892368e-04\n", + " 1.24892368e-04 1.24892368e-04 -7.07105901e-01 -5.28388852e-04]\n" ] }, { @@ -476,7 +469,7 @@ "
" ] }, - "execution_count": 49, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, @@ -501,7 +494,7 @@ "\n", "pl.figure()\n", "pl.plot(np.abs(sv)**2,'x')\n", - "# print(sv)\n", + "print(np.real(sv))\n", "# sv=np.array((0,1,1.1,0), dtype=complex)\n", "# sv/=np.linalg.norm(sv,2)\n", "\n", @@ -510,7 +503,7 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": 19, "id": "e30a6408", "metadata": { "scrolled": false @@ -521,9 +514,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 1.500003\n", - " Iterations: 22\n", - " Function evaluations: 41\n" + " Current function value: 1.000007\n", + " Iterations: 12\n", + " Function evaluations: 24\n" ] }, { @@ -532,13 +525,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 113, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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hsuy+++5JxPpHwKZlc5MSly1blrRq1SqJiOShhx5KBg8eXGZSYrYuu+yyTF0jRozYrLqgKqiIPlzYoEGDMn1mc27q3fBI2Ly8vOTzzz8vtowxarZ2X3zxRdKgQYPMOWPh38EVfQ45bNiwTFt/+9vfiqzfcMNf/fr1kyVLlpRYz4ZHRTdv3jxZu3ZtkfXGqNna5CKZKY3rxdnI5jpTWYxPsyXKRT9O63qxpESoPEXnD4YK8vTTT2eW+/fvX2yZGjVqxNlnnx0R6x89seFRb9lavnx5vPTSSxERcdRRR0WrVq2KLXfKKadEw4YNIyJixIgRRdaPHDky1q5dW2qsERH9+vWLiIi1a9fGyJEji6zfsM0NGzaMU045pdg6WrVqFUceeWRERPz73/+O5cuXl9geVLZc9OOIiL/97W8REdGgQYO47LLLNvn12ercuXNsv/32ERElPgJr9erVERHRtGnTzPfG9+Xl5UWHDh0iYv2jrYDsdO/ePSLWP2Lns88+q7Q4Hn744cyyR2PA/x37IiJzfCvOzjvvnFku7viXVj1Q3Ww4PkaU/Bt1a1T4cT7fffddJUYC6djwma5Kn+err746Zs2aFd27d8+ct6elR48emeXq9N3F1qui+/CG89C8vLzo27dvuer4+OOP44033oiIiMMOOyzatm1bbDlj1GztLrjggli+fHmcc845G/2WzoXSfsOuXLkypk2bFhER3bp1i0aNGpVYz7HHHhsREfPmzYtXX321yHpj1LBp0rpenI1srjOVxfg0FC9X14uBiiMpkZzZcCJVv3792HfffUssd9hhh2WWx48fv0ltTJw4MXOyVbie76tdu3b88Ic/zLxmzZo1xcZaVj2lxbp69eqYOHFiRKw/4axdu3aZ9axatSomTZpUYjmobLnox6tXr45nnnkmIiKOO+64aNCgQUREFBQUxMyZM+OLL77YKMlhc22oq0aN4g+JHTt2jIiIhQsXxrJly0qs59NPP92oPFC2wgOkJfXBipYkSTzyyCMRsf677dRTT62UOKAq2X777aNJkyYR8X/Ht+IUHmgt7vhX+P82px6obgr/1q2s42NleOyxxzLLu+++eyVGAptv+vTp8c4770RE1fk8v/nmmzFw4MCoXbt2DBw4MPX6q8Jve0hLRffhGTNmxOuvvx4REYceemi0b9++XPUUTmAoKdHYGDVbuyeeeCKeffbZaNKkSdx22205b7+037CLFy/OLDdv3rzUegqvHzduXJH1xqhh06R1vThbZV1nKo3xaSherq8XAxXDCBE5M3369IiI2GWXXSI/P7/EcoVP3Da8ZlPb+H49pbVTUFAQH3/8cbH1NGrUKHbccccS62jRokXmDprvx/rxxx9HQUHBJsVSXD1QleSiH0+ZMiVzV2m3bt1i7ty50b9//2jcuHG0a9cu2rZtG40aNYrjjz8+M4BbXm+//XZmEKekfnreeedFxPoTw5tuuqnYMvfcc08sWrRoo/JA2TYMsubn58cuu+xSatn//Oc/sddee0X9+vVjm222ifbt20efPn3i6aefjiRJyh3DK6+8EjNnzoyI9XfGbjixheruF7/4RURE/Pe//43Ro0cXW+aGG26IiIiaNWvGueeeW2T9McccE+3atYuIiLvuuiu+/fbbImVmzZoVQ4YMiYj1x/0999yz1LiuueaaaNWqVdSuXTu222676Nq1a/zmN7+Jjz76KNtNgyqv8EXItBIhjjrqqGjatGnUrl07mjVrFt27d49bbrllowullWHx4sXx9ttvx6WXXhoXXnhhRKy/KHT++edXalxQHitWrIiPP/447rzzzujRo0fmCRy//vWvKzmyiDVr1sTPf/7zWLduXVxxxRUVkmRVEd9dkEu57MNpzIaUJEn885//jIiIbbbZJk477bRiyxmjZmu2ZMmSTB+99dZbY4cddqjwNtetWxfz5s2Ll19+OU4++eR49NFHIyJit912i2OOOWajsoVnUVy6dGmp9RZe//777xdZb4yardWTTz4Zu+22W9SrVy+23Xbb2HXXXeOcc86JsWPHbla9aV0vzkY215lKY3yaLV1F9eOKuF6c1nUmY9SwCSrx0dFUIytXrkwiIomIpGfPnmWWr1+/fhIRyQ9/+MNNaud//ud/Mu1MmjSp1LK33XZbpuzzzz+/0brmzZsnEZHsscceZba5xx57JBGR7Ljjjhv9/+jRozP133bbbaXWMWnSpEzZq666qsw2oTLkqh8PGTIk085NN92UbL/99pl/f/+vRo0ayYABA8q5RUly2mmnZep68sknSyxX+LvllFNOSZ566qlk0qRJyciRI5Of/vSnSY0aNZKISM4666ykoKCg3PFAZfjss88yn+9zzjknZ+0+++yzWX2ntG3btsTvgA1/Bx98cDJr1qxyxdGvX79MPf/+97/LuzlQaSqqD3/zzTfJkUcemUREUqdOneSyyy5L/vd//zeZOHFiMmzYsOSwww5LIiKpWbNmcs8995RYz2uvvZY0adIkiYhk5513TgYNGpSMHz8+GTt2bHL77bcnzZo1SyIiadeuXfLBBx8UW8fYsWPL/B6oUaNGcu211ybr1q1LbR9AZVi7dm1ywAEHZH1eW5prr722zL7TuHHj5Omnn97kuje8/rDDDtvk155zzjklxlOvXr3kiSee2OQ6obIMHjy41D52+eWXp3psKtx/Pvvss6xfd+ONNyYRkXTo0CFZsWJFsfEPHjy43HHNmTMn2XbbbZOISLbffvuN2oCqLNd9eIMOHTpkjntLly4tVx2vvPJKJs6zzjqrxHLGqNma/fznP08iIjnooIM26quFfwePHTs2lbZKG59q27ZtMm3atGJf16JFi8zxcdWqVSXW36tXr0x93bp1K7aMMWq2JmWdq0ZEctJJJyVLliwpV/1pXS/ORrbXmUpifJotVUX34zSvF6dxnckYNZRPydNcQYq++eabzHI2d3jUr18/vv3221i+fHmFtVP4LrXvt7OhnmxjLa2OzY0Fqopc9eMNd3NGRFx//fWxatWqOOGEE+K6666Lzp07x9KlS+Opp56Kq666KpYtWxaXXnpp7LbbbnHcccdtUjtPPfVUDB8+PCIi9t1331KnxL/lllvi8MMPj5tvvjlGjBgRI0aM2Gh9165d46qrroof/ehHmxQDVFeLFi3KzIZUs2bNzGxrxaldu3b07t07jj766OjcuXM0atQolixZEhMmTIiBAwfGl19+Ga+99locddRRMWHChGjUqFHWcaxYsSKeeuqpiIho1apVHH744Zu3YbAVadCgQYwePTqGDBkSt9xyS9xxxx1xxx13bFTmlFNOiSuvvDIOPPDAEus56KCD4u23346777477r777iKznzVo0CCuv/76uOCCC2L77bcvsZ4WLVrEKaecEoccckh06NAh8vPz44svvohRo0bF0KFDY82aNXH99dfH6tWrS5w1ArYEAwYMyDxi8eSTT4799ttvs+rbc88946STTooDDjggWrZsGWvWrIkPP/wwHnnkkXjxxRdjyZIlceqpp8aoUaM2+fd02vr06RO33nprtG3btlLjgDR06dIlBg0aVOoxMlc++eSTzO/te+65J+rVq5dq/UmSxPnnn58ZM/j973+fehuQaxXZh1999dXM41VPPvnkzFN4NlW2sy0ao2ZrNX78+Lj//vsjPz8/Bg0aFHl5eTmPIT8/P/7whz/Er3/96xL78oknnhiDBg2KBQsWxB133BFXX311kTLjx4+P5557LvPvwv22MGPUbE222Wab6N27dxxxxBGx++67R4MGDWL+/Pkxbty4GDRoUCxcuDCefvrpOPHEE+Pf//531KpVa5Pqz9Xxb1OuMxXH+DRbsorux2leL07rOpMxaiiHys6KpHr44osvMhniffv2LbN869atM7OpbIqf/vSnmXZmzJhRatkHHnggU3bo0KEbrdtwR9mhhx5aZpuHHnpoErF+lpjCHn744Uz9DzzwQKl1zJgxI1P2Zz/7WZltQmXIVT++4YYbNrqrpFevXsnatWuLlHv11VczfbVz586bdNfJ9OnTM7M41KtXL3nvvfdKLT9nzpzkrLPOSurWrVvsnS/5+flJ7969k+nTp2/StkJVkOuZEgsKCpJjjz020+a1115bavnFixeXuG7ZsmXJ0UcfnanrN7/5zSbF8sgjj5gFgi1eRfbhCRMmJIcffniSl5dX7PGvYcOGyS9/+ctSZ3dZt25dcscdd5R6N2qnTp2SIUOGlFjH8uXLk9WrV5e4/s0330waNWqURESSl5eXvP3225uz2VBpXnnllSQ/Pz+JiKRZs2bJ3LlzN6u+0o6hSZIkgwYNyvTDli1bbtLMZhteV56ZEmfNmpVMnTo1mTp1avLaa68lAwcOTPbZZ58kIpJDDjkk+eijjza5TqgsixcvznyeJ06cmDz22GPJySefnDkXHjVqVKrtlWemxCOOOCKJiOT0008vsi6NmRL/9Kc/Zero0aNHsefvUFXlug8nyf/N7BblnI0pSdY/zaRhw4ZJRCQ77bRTqf3OGDVbo1WrViWdOnVKIiK54ooriqyviJkSP/zww2Tq1KnJlClTkpdffjm54YYbkpYtWya1a9dO+vbtm3zzzTfFvu7zzz/P9Ne8vLzkkksuST766KNk9erVyVdffZX87W9/S7bddtskLy8vcy5Q0ni6MWq2JqWdr86dOzfp2rVr5rN91113bXL9aV0vLs2mXmcqjvFptmQV3Y/TvF6cxnUmY9RQPjXKSlqENNStWzezvHr16jLLr1q1KiJik++s3pR2NrRRXDsb6tmcWNOKBaqKyujHERG33XZb1KhR9HB1yCGHxCmnnBIREdOmTYtp06ZlVf+cOXPiuOOOi2+++Sby8vLigQceiB/84Acllp8+fXoccMAB8cgjj0T9+vXj3nvvjS+//DJWr14dc+fOjYcffjhatmwZI0eOjG7dusWrr766CVsL1c8FF1wQzz//fERE9OzZM37/+9+XWr5x48Ylrtt2223jiSeeiKZNm0ZExH333ZfV99MGhWeWOPvss7N+HVQHw4cPj+7du8fLL78ce+65Z/zrX/+KhQsXxurVq2PGjBlx0003xZo1a2LgwIFx0EEHxdy5c4vUsW7duujTp09cdtllMXPmzPjZz34W//3vf2PlypWxfPnyGD9+fPTu3TumT58e/fr1i8suu6zYWOrXr1/qnbQHHHBA3HPPPRGxframDcuwJXnvvffi5JNPjoKCgqhTp0488cQT0bx5882qs7RjaETEeeedF+eee25ErP+N/P2ZVirKTjvtFJ07d47OnTvHQQcdFOeff35MnDgxzjvvvBg/fnwceOCBMWXKlJzEApurcePGmc/z/vvvHz/+8Y9jxIgR8fDDD8enn34aJ554YgwZMqTS4hsyZEi89NJL0bBhw/jLX/6Sev2PPPJI5vd8u3bt4tFHHy32/B2qqlz34VWrVsWTTz4ZEREtW7aMI488slz1PP3007Fs2bKIiPjJT35Sar8zRs3W6Kabborp06dHmzZt4tprr81Jmx07dozOnTvHXnvtFT169Ijf/e53MW3atNh7771j6NChcfDBBxc7w2Hbtm3jySefjG233TaSJIm//OUv0bFjx6hdu3a0aNEiLrroovjmm2/illtuyfTXbbfdtkg9xqjZ2pR2vtq8efMYPnx41K5dOyIi/vrXv25y/RV9/NvU60wlMT7NliyX/Thi864Xp3GdyRg1lI9RInKi8ElUNlNff/vttxGR3SNiy9vOhjaKa2dDPZsTa1qxQFVRGf24ffv2sdtuu5VY9phjjsksT5o0qcy6Fy1aFEcffXR8/vnnERFx1113xRlnnFHqa/r27RuzZs2KbbbZJl599dX45S9/Ga1atYpatWpF8+bNo2/fvjFhwoRo3rx5LFmyJM4444yNTmKB/3P11VfHfffdFxHrTxSffPLJqFmz5mbV2ahRo/jxj38cEeu/d956662sXvfVV1/FmDFjIiJi//33j06dOm1WHLA1mTdvXvTr1y9WrVoVe+yxR7z++utx0kknRZMmTaJWrVrRoUOHuPrqq2PUqFGRl5cX7733Xlx88cVF6rn33nszF12vu+66uP/++6Nr165Rt27dqF+/fhx88MHxzDPPRN++fSMi4s4779zokVWbok+fPpnHaowbN66cWw6V47PPPoujjz46Fi9eHDVr1ozHHnssDjvssJy0fd5552WWK7Pv1KxZM+6+++5o3bp1LF68OH75y19WWiyQhr59+8bpp58e69ati4suuigWL16c8xjmz58fl19+eURE3HDDDdGyZctU63/uueeif//+kSRJNG/ePP7973/HjjvumGobUFkqqg8/88wzsWTJkoiIOOuss8p9PrwpCQzGqNnafPDBB3HzzTdHxPoEh8KPXc217bbbLh566KGIiHj33XczcX3f0UcfHe+880787Gc/yyQ8bPDDH/4w/vd//zcuvPDCTB/dbrvtitRhjJrqpkOHDnHUUUdFRMQnn3wSc+bM2aTXV+TxrzzXmYpjfJqtXZr9OO3rxd9X3utM32eMGoqSlEhO1K1bN7bffvuIiJg1a1apZRcvXpz5Adi6detNaqdVq1aZ5bLa+fLLLzPL329nQz1l1VG4npLq2NxYoKrIVT8uXL5wPyqr7Ndff11q2W+++SaOPfbYeO+99yJi/UWZ4hIoCpsyZUpMnjw5ItYPFpd0UtiyZctMXbNnz87MAgf8n1tvvTVuueWWiIjYZ5994tlnn01t5oXCd6HOnj07q9c88sgjsXbt2ohwFyp837BhwzLH8WuuuabEizxHHHFEHHHEERERMWLEiCIXax944IGIWD+AdNVVV5XY3k033ZRZvv/++8sVc35+fnTs2DEisv8egKpgzpw5ceSRR8acOXMiLy8vHnzwwTj55JNz1n55jqEVpXbt2nHsscdGRMSECRM2ebAaqpoTTzwxItZf0Bg9enTO27///vtj4cKF0bhx42jatGkMGzasyN+bb76ZKf/mm29m/r+s8+tXXnklTjvttFizZk1st9128eKLL8Yuu+xS0ZsEOVURfTiN2ZDmzZsXL774YkRE7LvvvmXOymSMmq3NgAEDYvXq1dGhQ4dYsWJFsce3wjMkvfzyy5n/L5x4lJZOnTrFrrvuGhHrnzhQkg4dOsT9998f8+fPjzlz5sSHH34YS5cujQkTJsRxxx230Uzh3+/XxqiprjbnfLWijn/luc5UEuPTVAeb048r6npxSdIYIzNGDUXlV3YAVB+dOnWKV199NT755JMoKCiI/PziP34ffPDBRq/ZFIUPFoXrKa2d/Pz8IgOnP/jBD2Ly5MmxdOnSmDt3bol3en/11VeZR2V8P9aOHTtGzZo1Y+3atVnHUlw9UJXkoh/vsccemeUNJ2QlKby+pFgiIlauXBm9evXK3B1zxRVXxO9+97syY5k+fXpmeZ999im17L777ptZ/uCDDzKD18D62dI2JCR16tQpXnjhhczdYmlIkmSTXzN06NCIiKhVq1a57mSFrdmmHv/GjBkT69ati48++igOPPDAIvX84Ac/iDp16pRYR6tWraJ58+Yxb968Mn83l6Y83wVQmRYsWBBHHXVUfPrppxGxfqaXXF+IqGr9Zocddsgsz5w5M/WZ3SCXvv95zrUNsyMtWbIkfvKTn5RZftCgQTFo0KCIiBg7dmw0a9as2HITJ06MXr16xXfffRcNGjSI0aNHx1577ZVe4FBFpN2Hv/7663jhhRciYv1v7M6dO5ernsIJDOecc06Z5Y1Rs7XZcHz79NNPsxrPueGGGzLLn332WYXMrLjDDjvExx9/nNV3RV5eXrRo0SJatGix0f+PHz8+s1z4vDrCGDXV1+acr6Z1vbiw8l5nKonxaaqDzenHFXG9uDRpjZFVtbE2qGxmSiRnDjnkkIhYf3fphru6ilN4KtuDDz54k9rYf//9o3bt2kXq+b7Vq1fHG2+8UeQ134+1rHpKi7V27dpxwAEHRMT6WR5Wr15dZj116tSJ/fbbr8RyUNly0Y/btm0bbdq0iYiIGTNmlFq28Pqddtqp2DJr1qyJU089NRPT+eefH3/+85+ziqXwD9eCgoJSy65Zs6bY10F1N3To0LjooosiYv1d4WPGjMnMupqW999/P7OcTfLCO++8E++++25ERPTs2bPIo3Ogukvr+Lfh32XVUbie8h5DCwoK4qOPPoqI7L4HoLItXbo0jjnmmMwx7JZbbokLL7ww53Fs6jG0ohW+i9xjI9nSbY2f53fffTeOPfbYWL58edStWzdGjRpVJHECthZp9+FHH30087t4c25C2DDbYrYJDMaooeJt+L7YnO+KRx99NCIi6tWrF7169dponTFqqqvNOV9N63rxBptznak4xqepLjanH6d9vbgsaYyRGaOGoiQlkjMnnXRSZnnw4MHFllm3bl1mYKVx48bRo0ePTWpj2223zTxCbsyYMSVOyT1ixIjMDIfFPRqrd+/eUaNGjVJjjYgYMmRIRETUqFEjevfuXWT9hm1etmxZjBgxotg6Zs2aFWPGjImI9Y/A23bbbUtsDypbLvpxRMSpp54aEesfSfP666+XWK5wvzr00EOLrF+7dm2ceeaZmcfs9O3bN+69996s42jfvn1m+dVXXy21bOET28Kvg+psxIgR0b9//0iSJFq1ahUvvfRS6idiS5cujccffzwiIrbZZpusLpwUfmRWNjNLQHWzKce///znPxGxfraHdu3aFVvPtGnTYsmSJSXWMW3atFi0aFGRtjfFsGHDMr/vDzvssHLVAbmyYsWK6NmzZ/z3v/+NiIjf/va38T//8z+VEsvf//73zHJl953Cj8esV69e7LzzzpUaD2yuJ598MrO855575rz96667LpIkKfWv8Hn94MGDM//fvXv3IvV99NFHcfTRR8fixYujVq1a8dRTTxVbDrYWaffhDeeh+fn5ceaZZ5arjqlTp2Ye8Xr88cdnfcOfMWq2JkOGDCnz+Hbttddmyo8dOzbz/98/Z03DpEmTMjMklve74sknn8z07TPPPDMaN2680Xpj1FRHn376afz73/+OiPU3um9qklFa14sjNv86U3GMT1MdbG4/jkjvenFZynOdqTjGqKEYCeTQoYcemkREkp+fn7z++utF1v/5z39OIiKJiOTaa68tsn7w4MGlrk+SJHnppZcyZXr37p0UFBRstH7+/PlJmzZtkohIGjdunCxatKjYevr27Zup58knnyyy/oknnsisP+ecc4qtY+HChUmjRo2SiEjatm2bLFiwYKP1BQUFSa9evTL1vPzyy8XWA1VJLvrxzJkzk7p16yYRkey7777J8uXLi5QZOnRopp6ePXsWWb9u3bqkf//+mTKnnnpqke+DsqxduzbZaaedkohIatasmYwZM6bYcpMnT07q16+fRESyzTbbJIsXL96kdqAyffbZZ2Uez74vm378wgsvJLVr104iImnWrFnywQcfbHJso0ePTlasWFHi+mXLliVHH310JpaLL764zDoLCgqSHXfcMYmIpGnTpsnq1as3OS6oSiqiD0+fPj3Jy8tLIiLZaaedklmzZhVbz9///vdMPd26dSuy/uqrr86s79+/f7Ju3boiZVauXJn06NEjU+7vf//7RusXLVqUjB07ttTtefPNN5PGjRsnEZHk5eUlkyZNKrU8VKZVq1ZtdOz69a9/Xa56yurH7777bvLxxx+XWsegQYMydey4447F/uYuyYbXHXbYYWWWnT9/fjJ8+PBSy6xcuTL50Y9+lKn3Jz/5SdaxQK4NHjw4WblyZall7rzzzsznuV27dsmaNWuK1FHW7+ninHPOOZnXffbZZ+WIfmOF4xg8eHCJ5WbOnJm0bt06c25c3DgZbCkqow9PmzYtU75Xr17ljv2yyy7L1PPUU09l/Tpj1FQ31157bebzXNL5ZFn9+M0330wmT55cajuzZs1KOnXqlKnn/vvvL7bczJkzS6zjjTfeSBo2bJhERNKkSZNk3rx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+ "image/png": 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"text/plain": [ "
" ] @@ -584,15 +577,15 @@ "\n", "mu=1\n", "\n", - "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,ng=20,nb=10)\n", - "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv)\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixerbinstring='001<->110')\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixerbinstring='001<->110')\n", "\n", "# plot landscape\n", - "_=getfig(Ecost,ng=20,nb=10)\n", + "_=getfig(Ecost)\n", "# plot landscape\n", - "_=getfig(Eexco,ng=20,nb=10)\n", + "_=getfig(Eexco)\n", "# plot landscape\n", - "_=getfig(E,ng=20,nb=10)\n", + "_=getfig(E)\n", "pl.plot(x0[0],x0[1],'ro')\n", "pl.plot(xb[0],xb[1],'wx')\n", "\n", @@ -605,8 +598,8 @@ }, { "cell_type": "code", - "execution_count": 106, - "id": "92daded7", + "execution_count": 20, + "id": "b373ed63", "metadata": {}, "outputs": [], "source": [ @@ -615,8 +608,8 @@ }, { "cell_type": "code", - "execution_count": 109, - "id": "a89fdd8d", + "execution_count": 21, + "id": "cc70deaa", "metadata": {}, "outputs": [ { @@ -624,9 +617,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: -0.510003\n", - " Iterations: 14\n", - " Function evaluations: 27\n" + " Current function value: 1.500003\n", + " Iterations: 20\n", + " Function evaluations: 38\n" ] }, { @@ -635,13 +628,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 109, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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" ] @@ -678,7 +671,7 @@ }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 22, "id": "36b8ad2c", "metadata": {}, "outputs": [ @@ -699,34 +692,13 @@ "« │ │»\n", "«q_2: ┤2 ├»\n", "« └────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┘»\n", - "« ┌─────────┐ ░ ┌───┐ ┌───┐ ┌───┐┌───┐ ░ ┌───┐┌───┐ »\n", - "«q_0: ─┤ Rz(0.1) ├──░─┤ H ├────────┤ X ├───┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────»\n", - "« ┌┴─────────┴┐ ░ ├───┤┌───┐ └─┬─┘ └─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐»\n", - "«q_1: ┤ Rz(0.001) ├─░─┤ H ├┤ X ├─────■───────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├»\n", - "« ├───────────┤ ░ ├───┤└─┬─┘┌─────────┐ └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘»\n", - "«q_2: ┤ Rz(0.001) ├─░─┤ H ├──■──┤ Rz(0.2) ├───────■──┤ H ├─░─┤ H ├───────■──»\n", - "« └───────────┘ ░ └───┘ └─────────┘ └───┘ ░ └───┘ »\n", - "« ┌───┐ ┌───┐┌───┐┌─────┐ ░ ┌───┐┌───┐ ┌───┐ ┌───┐»\n", - "«q_0: ───┤ X ├───┤ X ├┤ H ├┤ Sdg ├────────░─┤ S ├┤ H ├────────┤ X ├───┤ X ├»\n", - "« └─┬─┘ └─┬─┘├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐ └─┬─┘ └─┬─┘»\n", - "«q_1: ─────■───────■──┤ X ├─┤ H ├─┤ Sdg ├─░─┤ H ├─────┤ X ├─────■───────■──»\n", - "« ┌─────────┐ └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘┌─────────┐ »\n", - "«q_2: ┤ Rz(0.2) ├───────■───┤ H ├─────────░─┤ S ├┤ H ├──■──┤ Rz(0.2) ├─────»\n", - "« └─────────┘ └───┘ ░ └───┘└───┘ └─────────┘ »\n", - "« ┌───┐┌─────┐ ░ ┌───┐ ┌───┐ ┌───┐┌───┐ »\n", - "«q_0: ┤ H ├┤ Sdg ├────────░─┤ H ├─────────────┤ X ├────┤ X ├┤ H ├────────────»\n", - "« ├───┤└┬───┬┘ ░ ├───┤┌───┐┌───┐ └─┬─┘ └─┬─┘├───┤┌───┐┌─────┐»\n", - "«q_1: ┤ X ├─┤ H ├─────────░─┤ S ├┤ H ├┤ X ├─────■────────■──┤ X ├┤ H ├┤ Sdg ├»\n", - "« └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘┌──────────┐ └─┬─┘├───┤├─────┤»\n", - "«q_2: ──■───┤ H ├─┤ Sdg ├─░─┤ S ├┤ H ├──■──┤ Rz(-0.2) ├───────■──┤ H ├┤ Sdg ├»\n", - "« └───┘ └─────┘ ░ └───┘└───┘ └──────────┘ └───┘└─────┘»\n", - "« ░ \n", - "«q_0: ─░─\n", - "« ░ \n", - "«q_1: ─░─\n", - "« ░ \n", - "«q_2: ─░─\n", - "« ░ " + "« ┌─────────┐┌────────────┐\n", + "«q_0: ┤ Rz(π/2) ├┤ Rx(-3π/10) ├\n", + "« ├─────────┤├────────────┤\n", + "«q_1: ┤ Rz(π/2) ├┤ Rx(-3π/10) ├\n", + "« ├─────────┤├────────────┤\n", + "«q_2: ┤ Rz(π/2) ├┤ Rx(-3π/10) ├\n", + "« └─────────┘└────────────┘" ], "text/plain": [ " »\n", @@ -743,48 +715,27 @@ "« │ │»\n", "«q_2: ┤2 ├»\n", "« └────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┘»\n", - "« ┌─────────┐ ░ ┌───┐ ┌───┐ ┌───┐┌───┐ ░ ┌───┐┌───┐ »\n", - "«q_0: ─┤ Rz(0.1) ├──░─┤ H ├────────┤ X ├───┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────»\n", - "« ┌┴─────────┴┐ ░ ├───┤┌───┐ └─┬─┘ └─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐»\n", - "«q_1: ┤ Rz(0.001) ├─░─┤ H ├┤ X ├─────■───────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├»\n", - "« ├───────────┤ ░ ├───┤└─┬─┘┌─────────┐ └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘»\n", - "«q_2: ┤ Rz(0.001) ├─░─┤ H ├──■──┤ Rz(0.2) ├───────■──┤ H ├─░─┤ H ├───────■──»\n", - "« └───────────┘ ░ └───┘ └─────────┘ └───┘ ░ └───┘ »\n", - "« ┌───┐ ┌───┐┌───┐┌─────┐ ░ ┌───┐┌───┐ ┌───┐ ┌───┐»\n", - "«q_0: ───┤ X ├───┤ X ├┤ H ├┤ Sdg ├────────░─┤ S ├┤ H ├────────┤ X ├───┤ X ├»\n", - "« └─┬─┘ └─┬─┘├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐ └─┬─┘ └─┬─┘»\n", - "«q_1: ─────■───────■──┤ X ├─┤ H ├─┤ Sdg ├─░─┤ H ├─────┤ X ├─────■───────■──»\n", - "« ┌─────────┐ └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘┌─────────┐ »\n", - "«q_2: ┤ Rz(0.2) ├───────■───┤ H ├─────────░─┤ S ├┤ H ├──■──┤ Rz(0.2) ├─────»\n", - "« └─────────┘ └───┘ ░ └───┘└───┘ └─────────┘ »\n", - "« ┌───┐┌─────┐ ░ ┌───┐ ┌───┐ ┌───┐┌───┐ »\n", - "«q_0: ┤ H ├┤ Sdg ├────────░─┤ H ├─────────────┤ X ├────┤ X ├┤ H ├────────────»\n", - "« ├───┤└┬───┬┘ ░ ├───┤┌───┐┌───┐ └─┬─┘ └─┬─┘├───┤┌───┐┌─────┐»\n", - "«q_1: ┤ X ├─┤ H ├─────────░─┤ S ├┤ H ├┤ X ├─────■────────■──┤ X ├┤ H ├┤ Sdg ├»\n", - "« └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘┌──────────┐ └─┬─┘├───┤├─────┤»\n", - "«q_2: ──■───┤ H ├─┤ Sdg ├─░─┤ S ├┤ H ├──■──┤ Rz(-0.2) ├───────■──┤ H ├┤ Sdg ├»\n", - "« └───┘ └─────┘ ░ └───┘└───┘ └──────────┘ └───┘└─────┘»\n", - "« ░ \n", - "«q_0: ─░─\n", - "« ░ \n", - "«q_1: ─░─\n", - "« ░ \n", - "«q_2: ─░─\n", - "« ░ " + "« ┌─────────┐┌────────────┐\n", + "«q_0: ┤ Rz(π/2) ├┤ Rx(-3π/10) ├\n", + "« ├─────────┤├────────────┤\n", + "«q_1: ┤ Rz(π/2) ├┤ Rx(-3π/10) ├\n", + "« ├─────────┤├────────────┤\n", + "«q_2: ┤ Rz(π/2) ├┤ Rx(-3π/10) ├\n", + "« └─────────┘└────────────┘" ] }, - "execution_count": 110, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "qaoa.createCircuit(np.array((0.1,0.2)), useExco=[False],sv=sv).draw()" + "qaoa.createCircuit(x0, useExco=[False],sv=sv).draw()" ] }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 23, "id": "1496f3f6", "metadata": {}, "outputs": [ @@ -793,19 +744,19 @@ "output_type": "stream", "text": [ "[1 0 0] 1.0\n", - "[0 1 1] 0.02\n", - "min cost= 0.02\n" + "[0 1 1] 2.0\n", + "min cost= 1.0\n" ] }, { "data": { "text/plain": [ - "(array([2. , 1. , 1.01, 2.01, 1.01, 2.01, 0.02, 3.02]),\n", - " array([0. , 1. , 0.01, 1.01, 0.01, 1.01, 0.02, 1.02]),\n", + "(array([2., 1., 2., 3., 2., 3., 2., 5.]),\n", + " array([0., 1., 1., 2., 1., 2., 2., 3.]),\n", " array([2., 0., 1., 1., 1., 1., 0., 2.]))" ] }, - "execution_count": 79, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } diff --git a/newbeginning.ipynb b/newbeginning.ipynb index ab6537c..139bb0e 100644 --- a/newbeginning.ipynb +++ b/newbeginning.ipynb @@ -151,13 +151,13 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 15, "id": "d228f979", "metadata": {}, "outputs": [ { "data": { - "image/png": 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w+ajdvIVIYyOJI0eS++1vk7VkMfHZ2U5HlBhx2TJljPEAvwfyAAv82lr7y4u2mQlsAI503LTWWvuTbk3aS+69917Ky8s5c+YMhYWF/PjHP2bgwIE8+OCDnD59moULFzJ16lSefvppp6OKiMglhM6fJ7hhA0Gfj5b3DmFSUsicPx93aQkp06bpk3jS7TqzZyoEfNNau9MYkwHsMMY8a609cNF2L1trF3V/xN71xz/+8ZK3L126tJeTiIhIZ7WPNHidgNdL3fPPQ1sbyZMnM/gnPyZzwQLi0tOdjigx7LJlylpbA9R0XK4zxhwECoCLy5SIiEivajt+nMDadQTW+ggdryEuK4sB967EXVJK8tgxTseTfuKKjpkyxgwHpgFvXuLum40xe4DjwLestfu7Hk9EROTDIq2t1L/wAoE1Xhpeew2AtJtvJu/b3yZ99mxciYkOJ5T+xlhrO7ehMenAS8DPrLVrL7ovE4hYa+uNMQuAX1prR1/iMR4AHgDIy8u7ftWqVR+6Pysri1GjRl3VF/JRwuEwcb34KY1Dhw4RDAZ77fn6ovr6etK1yz2qaE2ik9blw+KOHyfl1ddIeeMNXA0NhAcMoOmWm2m6+RYi2YN6JYPWJDr1xrrMmjVrh7W26FL3dapMGWMSgE3A09baf+zE9keBImvtmY/apqioyF58nruDBw8ybty4bj04sDdHI1hrefvttzUx/TLKy8uZOXOm0zHkAlqT6KR1gXB9A7VPbSHo9dG0Zw8kJJBx++3tIw1uuaXXRxpoTaJTb6yLMeYjy1RnPs1ngN8CBz+qSBljBgMnrbXWGHMD7ef8O3ulQZOTkzl79iyDBg3qc5+2sNZy9uxZkpOTnY4iItKnWWtp2rWbgM9L7VNbsY2NJI66htxHHmkfaTBwoNMRRT6kM8dMTQc+Dew1xuzuuO1xYCiAtfbfgFLgS8aYENAErLSdff/wAoWFhVRVVXH69Okr/aMfqbm5udcKTnJyMoWFhb3yXCIisSZ09izBDRsJ+Hy0vv8+JjWVzAXzGVBaSvKUKX3ul2zpPzrzab5XgI/9F2yt/RXwq66GSUhIYMSIEV19mA8pLy9n2rRp3fqYIiLSPWw4TMOrrxLw+qh74QUIhUiZOpX8v/8pGfPmE5ee5nREkcvSBHQREel1rVXVBNf6CKxdR+jECeIGDGDgpz6Fu7SEpG7+IJJIT1OZEhGRXhFpbaX+uecIeL00vP4GAGnTp5P36KNk3D4Lo5EG0kepTImISI9qfuddAl4vtRs3Eg4GSRgyhOyvfgX30qUkDBnidDyRLlOZEhGRbheur6d28xYCXi/Ne/diEhJIv2M27tJS0m6+GeNyOR1RpNuoTImISLew1tK0cycBr4/arVuxTU0kjR5N3uOPkXnXXcQPGOB0RJEeoTIlIiJdEjpzhuCGDQS8PlqPHMGVmkrWokW47ykl+dprNdJAYp7KlIiIXDEbClH/yisEfT7qXixvH2lw3XXkf/7zZM67E1eaRhpI/6EyJSIindbq9xPw+QiuXUfo1CniBg5k4Gc+0z7SYORIp+OJOEJlSkREPlakpYW6Z54l4PPR+MYb4HKRdtut5H3vu2TMnKmRBtLvqUyJiMglNb/9NoE1XoKbNhEJBkkoLCTnaw+RtXQpCYMHOx1PJGqoTImIyJ+F6+qo3byZwBovzfv3YxITyZgzB3dpCak33qiRBiKXoDIlItLPWWtprKgg6PNR+/Qz2OZmksaOJe+73yXrrkXEud1ORxSJaipTIiL9VNupUwTXbyDo89H6wQe40tPJunsJ7pJSkidN1EgDkU5SmRIR6UdsKET9tpcJeL3Uv/QShMOkFF1P/pe+SOadd+JKSXE6okifozIlItIPtH7wAQHfWoLr1hE6fZq47GwGfe4+spaVkDRyhNPxRPo0lSkRkRgVaW6m7plnCKzx0lhRAS4X6TNm4L6nlPQZMzAJCU5HFIkJKlMiIjGmaf9+gj4fwSc3EamrI2HoUHK+/nWylt5NQl6e0/FEYo7KlIhIDAgHgwQ3bSLg89Fy4CAmKYmMuXNxl5aSWlykkQYiPUhlSkSkj7KRCI3bKwj4fNQ98wy2pYWkCePJ+/73yFq0iLisLKcjivQLKlMiIn1M28lTBNetI7B2LW3HjuHKyMBdsoyskhJSJk50Op5Iv6MyJSLSB9i2NupfeomA10f9tm0QiZB6ww3kfPUrZMydiys52emIIv2WypSISBRrOXKEoM9HYP0GwmfOEJ+Tw6DPfx53yTIShw1zOp6IoDIlIhJ1Ik1N1D79NAN+81sOHzoEcXGkf+ITuEtLSZ9xGyZe37pFoolekSIiUcBaS/O+/QS8Xmo3byZSX48rN5ecb36DrCVLSMjNdTqiiHwElSkREQeFAwGCT24i4PXS8s47mORkMu+8E3dpCdvr67l21iynI4rIZahMiYj0MhuJ0PjmmwS8PuqefRbb2kryxIkM/tEPyVy4kLiMjPYNy8sdzSkinaMyJSLSS9pOnGgfaeBbS1tVFa7MTNz33IO7tITk8eOdjiciV0llSkSkB9nWVurKywn4fDS8/Er7SIObbiLna18jY84dGmkgEgNUpkREekDL4cMEvD6C69cTPneO+NxcBj3wBdwlJSR6PE7HE5FupDIlItJNIo2N1D61lYDPR9POnRAfT8asmWSVlJB+660aaSASo/TKFhHpAmstzXv3EljjpXbLFiINDSSOGEHut79F1pIlxGdnOx1RRHqYypSIyFUInT9P7caNBLw+Wt57D5OSQua8ebhLS0i57jqMMU5HFJFeojIlItJJNhKh4bXXCfi81D/3PLatjeTJkxn84x+TuXABcenpTkcUEQeoTImIXEbb8eME1q4juHYtbcePE5eVhfvelbhLSkkeO8bpeCLiMJUpEZFLsK2t1L3wIgGvl4ZXXwVrSbvlZnK/9U3SZ8/GlZTkdEQRiRIqUyIiF2g5dKh9pMGGDYTPnyd+8GCyv/RFspYtI7Gw0Ol4IhKFVKZEpN+LNDRQ+9RTBNZ4adqzBxISyJg1C/c9paTdcgsmLs7piCISxVSmRKRfstbStHs3AZ+P2i1PYRsbSbzmGnK/8x2yliwmftAgpyOKSB+hMiUi/Uro3DmCGzYS8HlpPfQ+JjWVzPnzcJeWkjJ1qkYaiMgVU5kSkZhnw2EaXnuNgNdH3QsvQFsbKVOmMPinPyFz/gLi0tOcjigifZjKlIjErNaqaoJr1xJYt45QTQ1xbjcDP/lJ3KUlJI0e7XQ8EYkRly1TxhgP8HsgD7DAr621v7xoGwP8ElgANAL3WWt3dn9cEZGPF2ltpf655wh4fTS8/joAadOnk/fId0i//XZciYkOJxSRWNOZPVMh4JvW2p3GmAxghzHmWWvtgQu2mQ+M7vjvRuB/d/xfRKRXNL/zLgGfl9qNTxIOBIgfkk/2V76Ce+ndJBQUOB1PRHqQtdbR579smbLW1gA1HZfrjDEHgQLgwjK1BPi9bf9q3jDGuI0x+R1/VkSkR4Tr66ndsoWA10fzW2+1jzSYPRt3aSlpN9+kkQYiMaw1FOG5gydZVeEn34SY5WAWcyVtzhgzHNgGTLLW1l5w+ybgCWvtKx3XnwcesdZWXvTnHwAeAMjLy7t+1apVXf4CLqe+vp50nS8rqmhNok+fWhNrSXj/MCmvvUpy5Q5MayuhIfk0TZ9O0403YvvK19EJfWpd+gmtifOq6yJsq2rjteMh6tpgYLJhTkGE+aN7dl1mzZq1w1pbdKn7On0AujEmHfABX7+wSF0Ja+2vgV8DFBUV2ZkzZ17Nw1yR8vJyeuN5pPO0JtGnL6xJ6OxZgus3EPD5aD18GFdqKplLluAuLSF58uSYHGnQF9alv9GaOKO+JcTmt46zqsLPrmMBEuIMcyYMZnmRh9tG5/DytpccXZdOlSljTALtRer/WGvXXmKTasBzwfXCjttERK6aDYdpeOUVAl4vdS+WQyhEyrRp5P/sZ2TOuxNXmkYaiMQqay07jwUoqzjGprdqaGwNMyo3ne8tHM/SaQUMSo+e82N25tN8BvgtcNBa+48fsdlG4KvGmFW0H3ge1PFSInK1WquqCPh8BNeuI3TyJHEDBzLw059uH2lwzTVOxxORHnS2voV1u6pZVeHn0Kl6UhPjWDQ5nxXFQ7luqDsq90J3Zs/UdODTwF5jzO6O2x4HhgJYa/8N2EL7WIRDtI9G+Fy3JxWRmBZpaaHu2ecI+Lw0vv4GuFyk3TqdvMcfJ2PWTIxGGojErHDE8vJ7p1ld6efZAydpC1umDXXzxLJrWTRlCOlJ0T0WszOf5nsF+Nga2PEpvq90VygR6T+a336bgNdH8MkniQSDJBQUkP3Qg7iXLiUhP9/peCLSg/znGlmzowpvpZ/jwWYGpCbwmZuHs6LYw5i8DKfjdVp0Vz0RiUnhujpqN29uH2mwbx8mIYGMOXNwl5aQetNNGJfL6Ygi0kNaQmGe2X+S1ZV+Xjl0BoDbRufw3YUTuGNCLknxfW+kicqUiPQKay1NO3YQWOOl9umnsc3NJI0ZQ97jj5N51yLiBwxwOqKI9KC3T9RSVuFn/a5qzje2UeBO4WuzR3NPkYcCd4rT8bpEZUpEelTo9GkC69cT9K2l9ehRXGlpZP1ppMGkSVF5MKmIdI+65jae3FNDWaWfPf72kQZzJw5mRZGH6aOyiXPFxutfZUpEup0Nhajf9jIBn4/68nIIh0kpup78v/s7Mu+ciys11emIItJDrLXs+OA8qyr8bH6rhqa2MGPy0vn+ogksnVbAwLTY+zCJypSIdJvWDz4g4FtLcN06QqdPEzdoEIM+dx9Zy0pIGjnC6Xgi0oNO17WwdmcVZZV+Dp9uIC0xjrunDWF5kYepnugcadBdVKZEpEsizc3UPfssgTVeGrdvB5eL9Ntuw31PKemf+AQmIcHpiCLSQ8IRy7Z3T7Oq4hjPHzxFKGK5ftgAflF6DQuvzSctykcadJf+8VWKSLdrPnCgfaTBpk1EamtJ8HjI+frXyFq6lIS8PKfjiUgP8p9rZHWlnzWVVZyobWZQWiKfm94+0mBUbt8ZadBdVKZEpNPCtbUEN20i6PXRfOAAJjGRjLlzcZeWknpDsUYaiMSw5rYwT+8/wepKP68eOovLwIwxOfxo8QRuH5dHYnz/ff2rTInIx7LW0ri9goDPS93Tz2BbWkgaP56873+PrEWLiMvKcjqiiPSgA8drWV3pZ92uaoJNbRQOSOGbc8ZQWlRIflbfHmnQXVSmROSS2k6eIrh+PYG1Pto+OIYrI4OsZUtxl5aSMnGi0/FEpAfVNrexcfdxyir87K0Okhjn4s5Jg1lZ7OHmkYNwxchIg+6iMiUif2bb2qjfto2A10f9tm0QDpNaXEzOl79Mxty5uFL0W6hIrLLWsv3IOcoq/WzZW0NzW4RxgzP44V0TuHtqAQNicKRBd1GZEhHiTp7i1P/6XwTWryd8+gxxOdkMuv9+3CXLSBw+3Ol4ItKDTtU149tRzZpKP4fPNJCeFM+y6wpZUeRhcmFWTI806C4qUyL9VKSpidqnnybo9ZFdWcnZuDjSP/EJ3KUlpM+YgYnXtweRWBUKRyh/5zRllX5eePsU4YjlhuED+fKsUSy4djCpiXr9Xwn9bYn0I9ZamvcfIOBdQ+2mzUTq60kYNpS6u+9m2jceJiE31+mIItKDjp5pYHWlH++OKk7VtZCdnsTnbxvB8iIP1+SkOx2vz1KZEukHwsEgwSc3EfB6aXn7bUxSEpnz7iSrpITU4mKqXnpJRUokRjW3hdm67wSrKo7xxuFzuAzMGpvL8mIPt4/LJSGu/4406C4qUyIxykYiNG7fTsDro+6ZZ7CtrSRPnMjgH/6AzIULicvMdDqiiPSgfdVByir8bNhdTW1ziKEDU/n2nWMpua6QwVnJTseLKSpTIjGm7eRJguvWEfCtpc3vx5WZifuee3CXlpA8frzT8USkBwWb2ti4u5pVFX72H68lMd7FgkmDWV7s4aYRGmnQU1SmRGKAbWujrrycgNdLw8uvQCRC6o03kvPQQ2TMuQNXsn4LFYlV1lreOHyOsopjPLXvBC2hCBPyM/nJkoksmVJAVqrOj9nTVKZE+rCWw0cI+LwE128gfPYs8bm5DPrCF9pHGgwd6nQ8EelBJ2ub8e6oYnWlnw/ONpKRHM89RYWsLB7KpAKdmaA3qUyJ9DGRxkZqtz5NwOejaccOiI8nfeYncJeUkH7bbRppIBLD2sIRXnz7FKsr/bz4zmnCEcuNIwbytdmjmT8pn5TEOKcj9kv6rivSB1hrad67l4DXR+3mzUQaGkgcPpzcb32TrCVLiM/JcTqiiPSgI2caKKvw49tZxem6FnIyknhgxkiWF3kYkZ3mdLx+T2VKJIqFzp+n9sknCXh9tLz7LiY5mcx583CXlpBy/fWaTCwSw5paw2zZW0NZpZ/tR84R5zLMGpvLymIPM8fmEK+RBlFDZUokythIhIbXXyfo81H37HPYtjaSr72WwT/6EZkLFxCXkeF0RBHpIdZa9naMNNi4+zh1LSGGD0rlO/PGUnpdIbmZ+jBJNFKZEokSbTU1BNauJbh2HW3V1biysnCvXNk+0mDsWKfjiUgPCjS2sn5XNWWVVRysqSUp3sXCa/NZXuzhxhEDtRc6yqlMiTjItrZS98KLBHw+Gl55Bawl7ZabyfnGw2TccQeupCSnI4pID4lELG8cPsuqCj9b95+gNRTh2oIsfnr3JBZPGUJWikYa9BUqUyIOaDl0iIDXR3DjRsLnzhGfl0f2l75I1rJlJBYWOh1PRHpQTbAJb2UVq3f48Z9rIjM5nnuLPSwv9jBxiEYa9EUqUyK9JNLQQO3WrQTWeGnavRvi48mYNQv3PaWkTZ+OidNHmkViVVs4wvMHT1FWcYyX3j1NxMLNIwfxrbljuXPiYJIT9Prvy1SmRHqQtZbmPXsI+HzUbt5CpLGRxJEjyf32t8m6ewnxgwY5HVFEetD7p+tZ3THS4Ex9K3mZSXxp5jUsL/IwbJBGGsQKlSmRHhA6f57ghg0EfT5a3juESUkhc/583KWlpEybqoNJRWJYY2uIzW/VsLrST8XR88S7DLePy2XlDR5mjNZIg1ikMiXSTWw4TMNrrxPw+ah7/nloayN5ymQG//QnZM5fQFy6fgsViVXWWvZUtY80eHLPcepbQozMTuOx+eNYdl0hORn6MEksU5kS6aK26moCa9cRWLuWUE0NcW43Az95L1klJSSPGeN0PBHpQecbWlm3q5qyCj/vnKwjOcHFwmuHsPIGD0XDBmgvdD+hMiVyFSKtrdQ//zwBr4+G114DIO2WW8j7zrdJnz0bV2KiwwlFpKdEIpZX3z9DWYWfZ/afpDUcYUphFj9bOom7pgwhM1kjDfoblSmRK9D87rsEfT6CGzYSDgSIH5JP9pe/jHvZUhIKCpyOJyI96HigiQ2HWvnemy9Sdb6JrJQEPnnjUFYUexifn+l0PHGQypTIZYTrG6jdspmAz0fznrcgIYGM2bNxl5SQdsvNGmkgEsNaQxGeO3iSsgo/2947jbVw66gsvjNvHHMn5GmkgQAqUyKXZK2ladduAl4vtVu3YhsbSRx1DbmPPkLW4sXEDxzodEQR6UHvnayjrMLPul3VnG1oJT8rmQdnjcITquaeBTc6HU+ijMqUyAVCZ88S3LCRgNdL6+HDuFJTyVq4AHdJCclTpuhgUpEY1tASYtNbxymr8LPzWIB4l2HOhDyWF7ePNIhzGcrLa5yOKVFIZUr6PRsO0/DqqwTWeKl78UUIhUiZOpX8n/09mfPm4UrTSAORWGWtZZc/QNl2P5veOk5Da5hrctL47oLxLL2ugOx0jTSQy1OZkn6rtaqKgM9HcN16QidOEDdgAAM//WncJctIGjXK6Xgi0oPONbSydmcVZRV+3jtVT0pCHHdNyWdFsYfrhmqkgVwZlSnpVyItLdQ99xwBr5fG198AY0i79VbyHnuMjFkzMRppIBKzwhHLK4fOUFZxjGcPnKQtbJnqcfPEsmtZNGUI6Un6kShXR/9ypF9ofucdAl4fwY0biQSDJAwZQvaDX8W9dCkJQ4Y4HU9EelDV+UbWVFaxptLP8WAzA1IT+PRNw1lR7GHs4Ayn40kMuGyZMsb8B7AIOGWtnXSJ+2cCG4AjHTettdb+pBszilyVcH09tZs6Rhrs3YtJSCBjzh1klZSQdvPNGJfOjyUSq1pCYZ490D7S4JVDZwC4dVQ2jy8cz5wJeSTFa6SBdJ/O7Jn6T+BXwO8/ZpuXrbWLuiWRSBdYa2nasYOA10ft009jm5pIGjOGvMcfI/Ouu4gfMMDpiCLSg9458aeRBlWcb2yjwJ3CQ7eP5p6iQgoHpDodT2LUZcuUtXabMWZ4L2QRuWqhM2cIrl9PwOuj9ehRXGlpZN11F+57SkmeNEkHk4rEsPqWEE/uaR9psNsfICHOMHfCYFYUe5g+Kps4l17/0rOMtfbyG7WXqU0f8zafD6gCjgPfstbu/4jHeQB4ACAvL+/6VatWXW3uTquvryc9Pb3Hn0c6r9vWJBwmcf8BUl59laS9ezGRCK2jrqHpluk0X38dJOkjzZ2l10l00rp8NGsthwIRtlWFePNEiNYwFKQbZhQmcPOQeDITe6ZAaU2iU2+sy6xZs3ZYa4sudV93lKlMIGKtrTfGLAB+aa0dfbnHLCoqspWVlZd97q4qLy9n5syZPf480nldXZPWY8cI+NYSXLeO0KlTxA0aRNbdS3CXlJA0cmT3Be1H9DqJTlqXv3amvuXPIw3eP91AWmIcd00ZwvJiD9M87h7fC601iU69sS7GmI8sU13+NJ+1tvaCy1uMMf9qjMm21p7p6mOL/EmkuZm6Z58l4PXR+Oab4HKRftttZH3/e2TMnIlJ0FnaRWJVOGLZ9t5pyrb7ee7gSUIRy3VD3fyiZDILJ+eTppEG4rAu/ws0xgwGTlprrTHmBsAFnO1yMhGg+eBBAmu8BDdtIlJbS0JhITlf/xpZd99NwuDBTscTkR7kP9fI6ko/3h1V1ASbGZiWyOemD2d5kYfReRppINGjM6MR/gjMBLKNMVXAD4EEAGvtvwGlwJeMMSGgCVhpO/PeochHCNfWUrt5M4E1XpoPHMAkJpIxZw7ue0pJveEGjTQQiWHNbWGeOXCSsopjvHroLMbAjNE5/GDRBGaPzyMxXq9/iT6d+TTfvZe5/1e0j04QuWrWWhorKgj6fNRufRrb0kLSuHHkfe97ZC1aSJzb7XREEelBB2tqO0YaVBNsah9p8PAdYygtKqTAneJ0PJGPpTeaxVFtp04RXL+BoM9H6wcf4EpPJ2vp3bhL7yF54gSNNBCJYbXNbX8eafBWVZDEOBdzJ+axsngot1wzCJdGGkgfoTIlvS8cpu6FFwh4fdS/9BKEw6QWFZH95S+RMXcurhT9FioSq6y1VBw9T1mFn817j9PcFmHc4Ax+eNcE7p5awIA0nR9T+h6VKek1rUePEvCtJbusjKraWuJyshl0/+fIWraMpBEjnI4nIj3oVF0za3dWs7rCz+EzDaQnxbN0WiEriz1MLszSXmjp01SmpEdFmpqoe+aZ9pEGFRXgchGaNJFhf/d3pM+YoZEGIjEsFI7w0runKavw8/zbpwhHLMXDB/ClmdewcHI+qYn6ESSxQf+SpUc07d9PwOuldtNmInV1JAwdSs7DD5N19928evAAGRp6JxKzPjjb8OeRBidrW8hOT+Tzt47gniIPo3I1PVxij8qUdJtwMEjwyU0EfD5aDh7EJCWRcedc3CWlpBYX/WWkwcEDzgYVkW7X3BZm674TlFX4ef3wWVwGZo7N5ceLPcwen0tCnEYaSOxSmZIusZEIjdsrCHi91D3zDLa1leQJE8j7wffJWrSIuMxMpyOKSA/afzxIWYWf9buqqW0OMXRgKt+aO4bS6z0Mzkp2Op5Ir1CZkqvSdvIkwXXrCfh8tPn9uDIycJeW4i4tIXnCBKfjiUgPCja1sXF3NWWVfvZV15IY72L+pMGsKPJw00iNNJD+R2VKOs22tVH/0ksE1nipf/lliERIveEGch56kIw5c3Al67dQkVhlreXNI+coq/CzZW8NLaEI4/Mz+fHiiSyZOgR3qkYaSP+lMiWX1XL4CAGfl+CGjYTPnCE+J4dBX/gC7mVLSRw2zOl4ItKDTtU2491ZxeoKP0fPNpKRFE/p9YWsLB7KpIJMjTQQQWVKPkKksZHap58h4PXStGMHxMWRPnMm7tIS0m+7DROvfzoisSoUjvDiO6cpqzjGi++cJhyx3DBiIA/NHs38SfmkJMY5HVEkqugnovyZtZbmffsIeH3UbtpEpKGBxGHDyPnmN3DffTfxOTlORxSRHnTkzF9GGpyuayEnI4kv3DaS5UWFjMzRSAORj6IyJYQDAYIbn2wfafDOO5jkZDLvvBN3aQkpRUXajS8Sw5pawzy1r4ayCj9vHjlHnMswa2wOy4s8zBqnkQYinaEy1U/ZSITGN94g4PVR99xz7SMNJk1i8I9+SObChcRlZDgdUUR60L7qIKsqjrFh93HqmkMMG5TKt+8cS+n1heRl6sMkIldCZaqfaaupIbBuHUHfWtqqq3FlZeFevrx9pMG4cU7HE5EeFGxsY/3uasoq/ByoqSUp3sWCa/NZUezhxhEDtRda5CqpTPUDtrWVuhfLCfi8NLzyavtIg5tvIufhh8mYcweupCSnI4pID4lELG8cPktZpZ+n9p2gNRRhUkEmP10ykcVTC8hK0fkxRbpKZSqGtbz/PgGvj+CGDYTPnSM+L49Bf/cA7mXLSPR4nI4nIj3oRLAZ7w4/qyurOHaukYzkeFYWe1he5GFSQZbT8URiispUjIk0NFC7dSsBr4+mXbsgPp6MWbNwl5aQduutmDh9pFkkVrWFI7zw9inKKvyUv3OKiIWbRg7kG3PGMG/SYJIT9PoX6QkqUzHAWkvzW28R8Hqp3byFSGMjiSNGkPvtb5O1ZDHx2dlORxSRHvT+6XpWV/jx7azmTH0LuRlJfGnmNdxzvYfh2WlOxxOJeSpTfVjo/HlqN24k4PXS8t4hTEoKmfPm4b6nlJRp03QwqUgMa2wNsWXvCcoqjlFx9DxxLsPt43JZWezhE2NyiNdIA5FeozLVx9hIhIbXXifg81L/3PPYtjaSJ09m8E9+TOaCBcSla7CeSKyy1vJWVZCySj8bdx+nviXEiOw0Hp0/jmXXFZCboZEGIk5Qmeoj2o4fJ7B2HYG1PkLHa4jLysJ970rcJaUkjx3jdDwR6UHnG1r/PNLg7RN1JCe0jzRYWTyU4uEDtBdaxGEqU1Es0tpK/QsvEFjjpeG11wBIu/lm8r79bdJnz8aVqLO0i8SqSMSy/0wY3x938fS+E7SGI0wuzOJnSydx15QhZCZrpIFItFCZikIt7733l5EGgQDx+flkf+lLZC1bRmJhgdPxRKQHHQ804d1RxepKP1Xnm8lKOc0nbxzK8iIPE4ZkOh1PRC5BZSpKhOsbqH1qC0Gvj6Y9eyAhgYzbb28faXDLLRppIBLDWkMRnj94krJKP9vePU3EwvRRg1jkifD1e2ZppIFIlFOZcpC1lqbdu9tHGjy1FdvYSOKoa8h95JH2kQYDBzodUUR60KFTdZRV+Fm7s5qzDa0MzkzmK7NGcc/1HoYOSqW8vFxFSqQPUJlyQOjcOYLrNxDw+Wh9/31MaiqZC+bjLikhZepUHUwqEsMaWkJsfquGsko/Oz44T7zLcMf4PFYUe5gxJoc4l17/In2NylQvseEwDa+9RmCNl7oXX4S2NlKmTiX/739Kxrz5xKVrsJ5IrLLWsssfYHWFnyf3HKehNcw1OWk8vmAcS6cVkpOh82OK9GUqUz2staqa4FofgXXrCdXUEDdgAAP/5m9wl5aQNGqU0/FEpAeda2hl7c72g8nfPVlPSkIciybns6LYw/XDNNJAJFaoTPWASGsr9c89R8DrpeH1NwBImz6dvEceIeP2WRiNNBCJWZGI5ZVDZyir8PPMgRO0hS1TPG7+r2XXsmhyPhkaaSASc1SmulHzO++2H0y+cSPhYJCEIUPI/upXcC9dSsKQIU7HE5EeVB1oYk2lnzWVVVQHmnCnJvCpm4axotjDuMEaaSASy1SmuihcX0/t5i0EvF6a9+7FJCSQfsds3KWlpN18M8al82OJxKqWUJjnDpxiVcUxXjl0BoBbR2Xz2IJxzJmQR1K8Pokn0h+oTF0Fay1NO3cS8Pqo3boV29RE0ujR5D32KJmLFxM/YIDTEUWkB7178k8jDao439jGkKxkHrx9NPdcX4hnYKrT8USkl6lMXYHQmTMEN2wg4PXReuQIrtRUshYtwl1aQvLkyTqYVCSG1beE2LTnOGWVfnYdC5AQZ5gzIY/lRR5uG62RBiL9mcrUZdhQiPpXXiHo81H3YjmEQqRcdx35n/88mfPuxJWmkQYiscpay85j5ymr8LPprRoaW8OMzk3newvHs3RaAYPSNdJARFSmPlKr30/A5yO4bj2hkyeJGziQgZ/5TPtIg5EjnY4nIj3oTH0L63ZWU1bp59CpelIT47hr8hBW3OBhmsetvdAi8iEqUxeItLRQ98yzBHw+Gt94A1wu0m67lbzvPk7GzJkaaSASw8IRy7b3TrO6ws+zB04SiliuG+rm5yXXsnDyENKT9O1SRC5N3x2A5rffJrDGS3DTJiLBIAkFBeR87SGyli4lYfBgp+OJSA/yn2tsH2mwo4qaYDMD0xK575bhrCj2MDovw+l4ItIH9NsyFa6ro3bzZgJrvDTv349JSCBj7lzcpSWk3nijRhqIxLCWUJhn9p+krMLPq++3jzS4bXQO3180gTvG55EYr9e/iHRevypT1lqaKivbB2s+/Qy2uZmksWPJ++53ybprEXFut9MRRaQHvX2illXb/azfXU2gsY0Cdwpfnz2G0qJCCtwpTscTkT7qsmXKGPMfwCLglLV20iXuN8AvgQVAI3CftXZndwftitDp0wTWryfo9dH6wQe40tPJWrIEd2kpyZMm6mBSkRhW19zGk3tqKKs4xp6qIIlxLuZMzGNlsYfp12Tj0kgDEemizuyZ+k/gV8DvP+L++cDojv9uBP53x/8dZUMh6re9TNa//zvv7dsH4TApRdeT/6UvknnnnbhS9FuoSKyy1lL5QftIg81v1dDUFmZsXgY/WDSBpdMKGJCmD5OISPcx1trLb2TMcGDTR+yZ+neg3Fr7x47r7wAzrbU1H/eYRUVFtrKy8qpCd0bjjh188DefwpViGDA5k6xrM0gapG+g0SAQCODWW6pRJVbWpDUc4Ux9C6fqWmhuC+Myhuz0RHIzkklLisPQt/ZCxcq6xBKtSXSqCg2g8Av/3aPPYYzZYa0tutR93XHMVAHgv+B6Vcdtf1WmjDEPAA8A5OXlUV5e3g1P/xGsZfiyUaS7TxGfEEcTjTQFGnvu+aTTwuEwgUDA6Rhygb68JhZLQxsEWiz1be2/HKbEweBUQ2aiwWVChJrqCTY5HPQq9OV1iVVak+jUmpTes53iMnr1AHRr7a+BX0P7nqmZM2f27BPOmkV5eTk9/jxyRbQm0acvrsmxs42srvSzZoefk7UtDEpLpOSmQpYXeRiVm+50vG7RF9cl1mlNotNuh9elO8pUNeC54Hphx20iIt2quS3M0/tPUFbh57X3z+Iy8IkxOfx4sYfbx2mkgYg4ozvK1Ebgq8aYVbQfeB683PFSIiJX4sDxWsoqjrF+93GCTW14BqbwzTntIw3ys/RhEhFxVmdGI/wRmAlkG2OqgB8CCQDW2n8DttA+FuEQ7aMRPtdTYUWk/6htbmPj7uOUVfjZWx0kMd7FvImDWVHs4eaRgzTSQESixmXLlLX23svcb4GvdFsiEem3rLW8eeQcqyv8bNlXQ3NbhHGDM/jRXRO4e1oB7lR9IldEok+/moAuItHpVG0z3p1VrKms4siZBjKS4im5rpAVxR6uLcjSYF0RiWoqUyLiiFA4Qvk7p1lV4efFd04RjlhuGD6Qr84axYJr80lJjHM6oohIp6hMiUivOnqmgdWVfrw7qjhV10J2ehKfv20Ey4s8XJMTGyMNRKR/UZkSkR7X3BbmqX01rNru580j53AZmDU2lxXFHmaNyyUhTiMNRKTvUpkSkR6zrzpIWYWf9burqWsOMWxQKt++cywl1xUyOCvZ6XgiIt1CZUpEulWwsY0Ne6opq/Cz/3gtSfEu5k8azIriodw4YqBGGohIzFGZEpEui0Qsbxw5y+oKP0/tO0FLKMLEIZn8ZMlElkwpICs1wemIIiI9RmVKRK7aydpmvDuqWF3p54OzjWQkx7O8yMOKYg+TCrKcjici0itUpkTkirSFI7zw9ilWd4w0iFi4aeRAvn7HaOZPyic5QSMNRKR/UZkSkU45fLqesko/vh3VnKlvITcjiS9+4hqWF3kYnp3mdDwREceoTInIR2pqDbNlbw1lFX62Hz1HnMswa2wuK4s9zBybQ7xGGoiIqEyJyIdZa9lbHWRVhZ8ndx+nriXEiOw0Hpk3jpLrCsjN1EgDEZELqUyJCACBxlbW76pmVYWft0/UkZzgYsG1+awo8nDDiIE6P56IyEdQmRLpxyIRy+uHz/Jve5rZ+dzztIYiXFuQxd/fPYnFU4eQmayRBiIil6MyJdIP1QSb8FZWsXqHH/+5JlLj4d7iYSwv9jBxiEYaiIhcCZUpkX6iNRThhbdPUlbh56V3TxOxcMs1g/jW3LGknH2XubMnOR1RRKRPUpkSiXGHTtWzutKPb0cVZxtayctM4sszR7G8yMPQQakAlJe/53BKEZG+S2VKJAY1tobY9FYNqyv8VH5wnniXYfb4XFYUe5gxWiMNRES6k8qUSIyw1rKnKkhZxTGe3FNDfUuIkTlpPDZ/HMuuKyQnI8npiCIiMUllSqSPO9fQyrpd1ayu8PPOyTpSEuJYODmfFcUeioYN0EgDEZEepjIl0gdFIpZXDp2hrNLPs/tP0hqOMMXj5h+WXstdU/LJ0EgDEZFeozIl0odUB5pYU+lnTWUV1YEm3KkJ/M1NQ1lR7GHc4Eyn44mI9EsqUyJRrjUU4bmDJ1lV4efl905jLdw6KptH549jzoQ8khPinI4oItKvqUyJRKn3TtZRVuFn7a5qzjW0kp+VzIOzRnFPkQfPwFSn44mISAeVKZEo0tASYtNbx1lV4WfXsQAJcYY7xuexotjDbaNziHPpYHIRkWijMiXiMGstO48FWF3h58m3jtPYGmZUbjrfXTCepdcVkJ2ukQYiItFMZUrEIWfrW1i3q5qyCj/vnaonNTGORZPzWVE8lOuGujXSQESkj1CZEulF4Yjl5fdOs7rSz7MHTtIWtkwb6uaJZdeyaMoQ0pP0khQR6Wv0nVukF/jPNbJmRxXeSj/Hg80MSE3gMzcPZ0WxhzF5GU7HExGRLlCZEukhLaEwz+w/yepKP68cOgPAbaNz+O7CCdwxIZekeI00EBGJBSpTIt3s7RO1lFX4Wb+rmvONbRS4U/ja7NGUXl9I4QCNNBARiTUqUyLdoK65jU1v1bCqws8ef/tIg7kTBrOi2MP0UdkaaSAiEsNUpkSukrWWHR+cp6zCz6a3amhqCzMmL53vL5rA0mkFDExLdDqiiIj0ApUpkSt0pr6FtTurKKvw8/7pBtIS47h72hCWF3mY6tFIAxGR/kZlSqQTwhHLtndPs6riGM8fPEUoYrl+2AB+UXoNC6/NJ00jDURE+i39BBD5GP5zjayu9LOmsooTtc0MSkvkc9PbRxqMytVIAxERUZkS+SvNbWGe3n+C1ZV+Xj10FpeBGWNy+OFdE5g9Po/EeJfTEUVEJIqoTIl0OHC8ltWVftbtqibY1EbhgBS+MWcMpdcXMsSd4nQ8ERGJUipT0q/VNrexcfdxVlf6easqSGKcizsnDWZFkYdbrhmESyMNRETkMlSmpN+x1lJx9DyrKo6xZW8NzW0Rxg3O4Id3TeDuqQUM0EgDERG5Ap0qU8aYecAvgTjgN9baJy66/z7gfwDVHTf9ylr7m27MKdJlp+qa8e2oZk2ln8NnGkhPimfZdYWsKPIwuTBLIw1EROSqXLZMGWPigH8B5gBVQIUxZqO19sBFm5ZZa7/aAxlFrlooHKH8ndOUVfp54e1ThCOWG4YP5MuzRrHg2sGkJmrnrIiIdE1nfpLcAByy1h4GMMasApYAF5cpkahx9EwDqyv9eHdUcaquhez0RD5/2wiWF3m4Jifd6XgiIhJDOlOmCgD/BdergBsvsV2JMWYG8C7wsLXWf4ltRHpMc1uYrftOsKriGG8cPofLwMyxuawo9nD7uFwS4jTSQEREup+x1n78BsaUAvOstZ/vuP5p4MYL39IzxgwC6q21LcaYvwNWWGtvv8RjPQA8AJCXl3f9qlWruu8r+Qj19fWkp2tPRDTp7jX5oDbMtqoQrx8P0RiCnBTDbYXx3FYQz4BkFajO0OskOmldoo/WJDr1xrrMmjVrh7W26FL3dWbPVDXgueB6IX850BwAa+3ZC67+BvjFpR7IWvtr4NcARUVFdubMmZ14+q4pLy+nN55HOq871iTY1MbG3dWUVfrZV91AYryL+ZOGsKLYw00jNNLgSul1Ep20LtFHaxKdnF6XzpSpCmC0MWYE7SVqJfDJCzcwxuRba2s6ri4GDnZrShHaRxq8cfgcqyv9bNlbQ0sowoT8TH6yZCJLphSQlZrgdEQREemHLlumrLUhY8xXgadpH43wH9ba/caYnwCV1tqNwEPGmMVACDgH3NeDmaWfOVnbjHdHFWsq/Rw920hGcjz3FBWysngokwqynI4nIiL9XKc+F26t3QJsuei2H1xw+THgse6NJv1ZWzjCi2+fYnWlnxffOU04YrlxxEAemj2a+ZPySUmMczqiiIgIoAnoEmWOnGmgrMKPb2cVp+tayMlI4oEZI1le5GFEdprT8URERP6KypQ4rqk1zJa9NZRV+tl+5BxxLsOsjpEGs8bmEK+RBiIiEsVUpsQR1lr2VdeyquIYG3cfp64lxPBBqXxn3lhKryskNzPZ6YgiIiKdojIlvSrY2MZzH7Tx839+hYM1tSTFu1h4bT7Liz3cOGKgzo8nIiJ9jsqU9LhIxPLG4bOUVfp5at8JWkMRri1I4ad3T2LxlCFkpWikgYiI9F0qU9JjTgSb8e7ws7qyimPnGslMjufeYg8jzUk+u/hWp+OJiIh0C5Up6VZt4QjPHzxFWcUxXnr3NBELN48cxDfnjuHOiYNJToijvPyM0zFFRES6jcqUdIv3T9ezumOkwZn6VvIyk/jSzGtYXuRh2CCNNBARkdilMiVXrbE1xOa3alhd6afi6HniXYbbx7WPNPjEGI00EBGR/kFlSq6ItZY9VUHKKvw8uec49S0hRman8ej8cSy7roDcDI00EBGR/kVlSjrlfEMr63ZVs7rSz9sn6khOcLHw2iGsKPZQPHyARhqIiEi/pTIlHykSsbz2/llWVRzjmf0naQ1HmFKYxc+WTuKuKUPITNZIAxEREZUp+SvHA02sqaxizQ4/VeebyEpJ4JM3DmVFsYfx+ZlOxxMREYkqKlMCQGsownMHT1JW4Wfbe6exFm4dlc135o1j7oQ8khPinI4oIiISlVSm+rn3TtZRVuFn3a5qzja0MjgzmQdnjeKeIg+egalOxxMREYl6KlP9UENL+0iDVRXH2HksQLzLcMf4PFbc4GHG6BziXDqYXEREpLNUpvoJay27/AFWd4w0aGgNc01OGo8vGMey6wrJTk9yOqKIiEifpDIV4841tLJ2ZxWrK/28e7KelIQ4Fk3OZ+UNHq4bqpEGIiIiXaUyFYPCEcsrh86wusLPMwdO0Ba2TPW4eWLZtSyaMoT0JC27iIhId9FP1RhSdb6xfaRBpZ/jwWYGpCbw6ZuGs6LYw9jBGU7HExERiUkqU31cSyjMswfaRxq8cugM0D7S4PGF45kzIY+keI00EBER6UkqU33UOyf+NNKgivONbRS4U3jo9tHcU1RI4QCNNBAREektKlN9SH1LiCf3HKesws9uf4CEOMPcCYNZXuzh1lHZGmkgIiLiAJWpKGetZeex86za7mfz3hoaW8OMzk3newvHs3RaAYM00kBERMRRKlNR6kx9C+t2VrOq4hjvn24gLTGOxVOGsLzYwzSPWyMNREREooTKVBQJRyzb3jtN2XY/zx08SShiuW6om1+UTGbh5HzSNNJAREQk6uincxTwn2tkdaUf744qaoLNDExL5HPTh7O8yMPoPI00EBERiWYqUw5pbgvzzIGTlFUc49VDZzEGZozO4QeLJjB7fB6J8S6nI4qIiEgnqEz1soM1tR0jDaoJNrWPNHj4jjGUFhVS4E5xOp6IiIhcIZWpXlDX3MbGPcdZXeFnT1WQxDgXcyfmsaLYw/RrsnFppIGIiEifpTLVQ6y1VBw9T1mFny17a2hqCzM2L4MfLJrA0mkFDEhLdDqiiIiIdAOVqW52uq4F384qVlf4OXymgfSkeO6eVsCKYg9TCrM00kBERCTGqEx1g1A4wkvvnqasws8Lb58iFLEUDx/Al2Zew8LJ+aQm6q9ZREQkVumnfBd8cLbhzyMNTta2kJ2eyN/eOoJ7ijyMyk13Op6IiIj0ApWpK9TcFmbrvhOUVfh5/fBZXAZmjs3lx4s9zB6fS0KcRhqIiIj0JypTnbT/eJCyCj/rd1VT2xzCMzCFb80dQ8n1heRnaaSBiIhIf6Uy9TGCTe0jDcoqjrGvupbEeBfzJg5mZbGHm0YO0kgDERERUZm6mLWWN4+cY3WFn817a2gJRRifn8mPF09kydQhuFM10kBERET+QmWqw6naZrw7q1hTWcWRMw1kJMVTen0hK4uHMqkgUyMNRERE5JL6dZkKhSO8+E77SIMX3zlFOGK5YcRAHrx9FPMn5ZOSGOd0RBEREYly/bJMHTnzl5EGp+tayMlI4gu3jWR5USEjczTSQERERDqvU2XKGDMP+CUQB/zGWvvERfcnAb8HrgfOAiustUe7N2rXNLWGeWpfDWUVft48cg6XgdvH5bK8yMOscRppICIiIlfHWGs/fgNj4oB3gTlAFVAB3GutPXDBNl8GJltrv2iMWQkstdau+LjHLSoqspWVlV3N/7F+vv3nlL/7Ok0kcra+hVDEkpwQR05GEjkZSSSqQDkiEAjgdrudjiEX0JpEJ61L9NGaRKf0xnT+n2X/T48+hzFmh7W26FL3dWbP1A3AIWvt4Y4HWwUsAQ5csM0S4Ecdl73Ar4wxxl6uqfWggzW1rN9dTSAUwWVaGJiWSG5GEpkpCU5FEhERkRjUmTJVAPgvuF4F3PhR21hrQ8aYIDAIOHPhRsaYB4AHAPLy8igvL7+61J1Q32pJPTuf27LDfGJ4GmkJ+jRetKhPryc9WcemRROtSXTSukQfrUl0qg/V92inuJxePQDdWvtr4NfQ/jbfzJkze/T5Fs2F8vJyevp55MpoTaKP1iQ6aV2ij9YkOjm9Lp05aKga8FxwvbDjtktuY4yJB7JoPxBdREREJKZ1pkxVAKONMSOMMYnASmDjRdtsBD7bcbkUeMHJ46VEREREestl3+brOAbqq8DTtI9G+A9r7X5jzE+ASmvtRuC3wH8ZYw4B52gvXCIiIiIxr1PHTFlrtwBbLrrtBxdcbgbu6d5oIiIiItFPg5ZEREREukBlSkRERKQLVKZEREREukBlSkRERKQLVKZEREREukBlSkRERKQLVKZEREREukBlSkRERKQLVKZEREREusA4dQo9Y8xp4INeeKps4EwvPI90ntYk+mhNopPWJfpoTaJTb6zLMGttzqXucKxM9RZjTKW1tsjpHPIXWpPoozWJTlqX6KM1iU5Or4ve5hMRERHpApUpERERkS7oD2Xq104HkL+iNYk+WpPopHWJPlqT6OTousT8MVMiIiIiPak/7JkSERER6TExUaaMMfOMMe8YYw4ZYx69xP1JxpiyjvvfNMYMdyBmv9OJdfmGMeaAMeYtY8zzxphhTuTsTy63JhdsV2KMscYYfWqpF3RmXYwxyzteL/uNMX/o7Yz9TSe+fw01xrxojNnV8T1sgRM5+xNjzH8YY04ZY/Z9xP3GGPPPHWv2ljHmut7K1ufLlDEmDvgXYD4wAbjXGDPhos3+FjhvrR0F/BPw895N2f90cl12AUXW2smAF/hF76bsXzq5JhhjMoCvAW/2bsL+qTPrYowZDTwGTLfWTgS+3ts5+5NOvla+B6y21k4DVgL/2rsp+6X/BOZ9zP3zgdEd/z0A/O9eyATEQJkCbgAOWWsPW2tbgVXAkou2WQL8ruOyF5htjDG9mLE/uuy6WGtftNY2dlx9Ayjs5Yz9TWdeKwA/pf0XjubeDNePdWZdvgD8i7X2PIC19lQvZ+xvOrMmFsjsuJwFHO/FfP2StXYbcO5jNlkC/N62ewNwG2PyeyNbLJSpAsB/wfWqjtsuuY21NgQEgUG9kq7/6sy6XOhvgad6NJFcdk06dot7rLWbezNYP9eZ18oYYIwx5lVjzBvGmI/77Vy6rjNr8iPgU8aYKmAL8GDvRJOPcaU/d7pNfG88icjHMcZ8CigCPuF0lv7MGOMC/hG4z+Eo8tfiaX/rYibte3C3GWOutdYGnAzVz90L/Ke19n8ZY24G/ssYM8laG3E6mPS+WNgzVQ14Lrhe2HHbJbcxxsTTvkv2bK+k6786sy4YY+4Avgsstta29FK2/upya5IBTALKjTFHgZuAjToIvcd15rVSBWy01rZZa48A79JerqRndGZN/hZYDWCtfR1Ipv38cOKcTv3c6QmxUKYqgNHGmBHGmETaDwTceNE2G4HPdlwuBV6wGrDV0y67LsaYacC/016kdAxIz/vYNbHWBq212dba4dba4bQfx7bYWlvpTNx+ozPfw9bTvlcKY0w27W/7He7FjP1NZ9bkGDAbwBgznvYydbpXU8rFNgKf6fhU301A0Fpb0xtP3Off5rPWhowxXwWeBuKA/7DW7jfG/ASotNZuBH5L+y7YQ7QfvLbSucT9QyfX5X8A6cCajs8DHLPWLnYsdIzr5JpIL+vkujwNzDXGHADCwLettdq73kM6uSbfBP5fY8zDtB+Mfp9+Se9Zxpg/0v5LRXbHsWo/BBIArLX/RvuxawuAQ0Aj8Lley6a1FxEREbl6sfA2n4iIiIhjVKZEREREukBlSkRERKQLVKZEREREukBlSkRERKQLVKZEpN8yxiw2xjx6mW1mGmM2fcR9XzfGpPZMOhHpK1SmRKTfstZutNY+0YWH+DqgMiXSz6lMiUiPMcZ8yhiz3Riz2xjz78aYOGNMsTHmLWNMsjEmzRiz3xgzqeO+/2mM2ddx/4MdjzHbGLPLGLPXGPMfxpiki54j1xizo+PyFGOMNcYM7bj+vjEm1RiTY4zxGWMqOv6b3nH/fcaYX3VcvqbjJMJ7jTF/b4ypv+Bp0o0xXmPM28aY/9MxYfkhYAjwojHmxV746xSRKKUyJSI9ouMUGyuA6dbaqbRP7v4ba20F7ad9+HvgF8B/W2v3AQ8Aw4Gp1trJwP8xxiQD/wmssNZeS/tZG7504fN0nIoo2RiTCdwGVAK3GWOGAaestY3AL4F/stYWAyXAby4R+ZfALzuep+qi+6bRvhdqAjCy42v6Z+A4MMtaO+uq/pJEJCb0+dPJiEjUmg1cD1R0nC4oBfjTORh/Qvv5z5qBhzpuuwP4N2ttCMBae84YMwU4Yq19t2Ob3wFfAf7vi57rNWA6MAP4B2AeYICXL3jsCR05ADKNMekXPcbNwN0dl/8A/M8L7ttura0CMMbspr30vXLZvwER6RdUpkSkpxjgd9baxy5x3yDaz8uYQPsJYhu6+FzbaN8rNQzYADxC+/nSNnfc7wJustY2fyjgX8rV5bRccDmMvneKyAX0Np+I9JTngVJjTC6AMWZgx1tvAP8OfB/4P8DPO257Fvg7Y0z8n7YH3gGGG2NGdWzzaeClSzzXy8CngPestRHaT2i+gL/sPXoGePBPGxtjpl7iMd6g/S1A6PzJ0OuAjE5uKyIxSmVKRHqEtfYA8D3gGWPMW7SXpXxjzGeANmvtH4AngGJjzO20H8d0DHjLGLMH+GTHnqTPAWuMMXuBCPBvl3iuo7TvCdvWcdMrQMBae77j+kNAUceB7QeAL14i8teBb3RkHQUEO/Fl/hrYqgPQRfo3Y611OoOIiOM65kU1WWutMWYlcK+1donTuUQk+ul9fxGRdtcDvzLtB1IFgPudjSMifYX2TImIiIh0gY6ZEhEREekClSkRERGRLlCZEhEREekClSkRERGRLlCZEhEREekClSkRERGRLvj/AY6v78SRDDDnAAAAAElFTkSuQmCC\n", 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\n", 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" ] @@ -190,7 +190,7 @@ "execution_count": 12, "id": "b6491723", "metadata": { - "scrolled": true + "scrolled": false }, "outputs": [ { @@ -199,29 +199,29 @@ "text": [ "mu= 0.1\n", "Optimization terminated successfully.\n", - " Current function value: 0.112878\n", - " Iterations: 12\n", - " Function evaluations: 24\n", + " Current function value: 0.163201\n", + " Iterations: 11\n", + " Function evaluations: 23\n", "mu= 0.2\n", "Optimization terminated successfully.\n", - " Current function value: 0.249956\n", + " Current function value: 0.288940\n", " Iterations: 12\n", " Function evaluations: 24\n", "mu= 1\n", "Optimization terminated successfully.\n", - " Current function value: 0.484243\n", - " Iterations: 9\n", - " Function evaluations: 19\n", + " Current function value: 0.532567\n", + " Iterations: 11\n", + " Function evaluations: 23\n", "mu= 10\n", "Optimization terminated successfully.\n", - " Current function value: 0.507151\n", + " Current function value: 0.552850\n", " Iterations: 15\n", - " Function evaluations: 28\n" + " Function evaluations: 27\n" ] }, { "data": { - "image/png": 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+ "image/png": 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" ] @@ -263,7 +263,7 @@ }, { "data": { - "image/png": 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+ "image/png": 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xASwZ1llnndTU1KRly5ZZffXVs8suu+Tmm29OMvvxEDfeeGOdyehlxJra2tq8/PLLSWbHnOOOOy7f/e5388ILL8xT7tVXX81JJ52UnXfeeZ6YCJSrtrY2Z599duX/3/72t5tUz3vvvVdZbujcqUePHpXlL547lXVOM8fPfvazjBkzJtttt12+//3vL7BfwKJTVqxZkLlnV1lhhRXyrW99q85ynTp1yhprrJFk9g9FFvTIq2pjTZIMGjQoNTU1qampyUorrZSvfOUrOeOMM/Lpp5+mZcuWufDCC7P99ts3dlhAHYYOHVr5vHXo0CG9evXKCSeckLFjxyZJTjnllBx88MFNrn/ChAmVpM6zzz47q666aqNeX/b5DND8lobriDZt2uSaa65J165d88Ybb2TzzTfPn//85zz66KN56KGHcu6556ZPnz6ZMGFC1ltvvVx22WXz1TH3D2Xm/gHNF3344YeVezmJmAVlWdSx5uc//3nlh/ff/OY3c+KJJ+auu+7Kk08+meuuuy477bRTbrjhhsr1Sl0/si0j1jRk7h/XHXbYYU0fMFCnF198MS+99FKmTJmSzz77LK+//nquvPLK7LzzzhkwYECDP8yo1j/+8Y989NFHmTFjRj766KM8/PDDOfXUU7PeeutVnhpZl0URZx577LG8++67mT59eiZOnJhnn302559/fjbeeOMMGjQoRVGUMmZg0ZOUCbAM+vTTTyvL1fwqb05S5meffdaoduZ+dN7gwYPz2muv5etf/3pGjBiRqVOn5sMPP8xFF12UTp06pSiKnHLKKXWeuO6zzz5JZj/2/Je//GWdbb322mu5/PLLK/+fe4xfrGvkyJE58sgj8+yzz2bgwIHZdttt079//wwaNCjt27fP+eefn+HDhzf4WBtg6dGqVav85je/ybPPPlvv7FVlxJpPPvkktbW1SZJRo0blf/7nf7LGGmvkr3/9a8aPH5/Jkyfn4Ycfrjze+LHHHsv3vve9hR4fULfzzjsvI0aMSDJ7NoI+ffo0qZ7GnDvNOW9K5j93KvOcZvjw4bn00kvTqlWrXHzxxampqVnwIIBFpqxYsyCPPPJI5TFXAwYMSMeOHestOyfWjBs3rt4fmj3yyCOVJwQk9ceahuyyyy554YUXcswxxzTp9UD1evfunREjRuSss85aqOP+SSedlLFjx2bbbbfND37wg0a/vszzGaD5LU3XEdtss02eeeaZnHjiiXn33Xdz1FFHZfvtt0+/fv1y4oknZvLkyTnzzDPz5JNPZoMNNpjv9dtvv326dOmSJLn88svne5LBHL/61a/meaKSmAULrzliTYcOHXL77bdnyJAhWWuttXLuuedmjz32yNZbb53vfOc7efjhh7Pffvvl8ccfz49+9KN661nYWLMgkydPzt///vcks3/ku/POOy/UmIH/0759+3znO9/JX/7ylwwfPjzPPPNM7r333vziF7/IKquskiS5+eabs++++2bGjBlNbmfTTTfNr371q9x2220ZOXJknnjiiVxxxRXZbbfdksyeFXj//ffPXXfdVW8dZcWZNdZYI8ccc0yuvfba/O///m9GjhyZm266Kd///vfTunXr1NbW5owzzsgvfvGLJo8XaGYFAMucd999t0hSJCkOPfTQBsv36NGjSFJ86UtfalQ7Z555ZqWdJEX//v2LmTNnzldu+PDhRYsWLYokxcYbb1zU1tbOs37ixInFmmuuWannkEMOKZ577rli2rRpxbhx44orr7yyWH311YuampqidevWRZKiZcuWdfZp2rRpxamnnlqsuuqq8/Rt7n9bbbVVccsttzRqrEB13nrrrcpnbeDAgYukjVdeeaUYNWpU8dxzzxUPPPBAceaZZxbdu3cv2rRpUxx66KHFp59+Wufryog1o0ePnieetG/fvnj55Zfna2vy5MnF5ptvXin3xBNPLJJtAcuzhx56qGjVqlWRpOjWrVsxduzYJtf1ve99r/J5feONNxZYdsiQIZWyV1111TzryjqnmTZtWrHRRhsVSYqTTjppvvWnn356pY0HH3ywyeMGGlZmrFmQH/zgB5XP9d13373Asm+++WbRsWPHIklRU1NTHH/88cWrr75aTJ8+vfj3v/9dXHjhhUXHjh2LNm3aVOps6Fpv7NixxahRo4pRo0YVTzzxRHH55ZcX/fr1K5IUm222mXMZKNGECRMqn7cRI0YU1157bTFgwIDKZ/W2225rct0PP/xwUVNTU7Rq1ap47rnn5lvfs2fPIknRs2fPeuso8x7NFzXH9SIszxbndcTAgQMrdb/11ltVvaa2trY455xzirXXXrve+7gbbbRRMWTIkHrr+P3vf18pu8YaaxRXXnllMW7cuGLatGnFc889V3z3u98tksxzXnTmmWeWNGpYPjVnrHn00UeLfv36FTU1NXXGiI4dOxY/+tGPiokTJ9ZbRxmxpj5XX311pY5TTjllYYYKfMGECRPqXTdmzJhiiy22qHz+LrjggtLbKIqiuPjiiyttdO/evZgyZUqd5cqIM5999lkxffr0etf/7//+b9GpU6fKvaBnn322qjECi5ekTIBl0Icfflg5yTvwwAMbLN+tW7ciSbHJJps0qp1zzjlnnhPKp59+ut6yBxxwQKVcXV8MPPXUU5V+1PfvrLPOqiRbdu7ceb46Pvvss2KHHXaofCHws5/9rHjppZeKadOmFZ988klx7733Fttvv33lhPXcc89t1HiBhi2uL9nGjx9f9O3bt5I4UF9i5sLGmo8++miesv/5n/9Zb59uv/32Srmf/OQnpY4XlncvvPBC0aVLlyJJ0a5du+Lhhx9eqPqOPvroyuf1pZdeWmDZP/3pT5WyN9xww3zryzinmfMFxtprr1189tln9a6XlAmLVtmxpj5TpkwpOnfuXLnJX9cP3b7ozjvvLFZcccV640zLli2LSy65pPL/3r17N6lvv/nNbyrjv+eee5pUB1CdK6+8sqipqSlatGhRXH755Y1+/dSpU4sNN9ywSFKccMIJdZapJimzKMo5n6mLpExYtBbndURjkzJnzZpVfOtb36q85vvf/37x9NNPF1OmTCk+++yz4pFHHin22Wefyvrjjjuuznpqa2uLI488coHxat111y1++ctfVv5//vnnlzp2WN40V6y5/vrri7Zt21bu9950003Fxx9/XEyfPr144403it/97nfFCiusUCSzJwN5//3356ujrFhTn913373q+0lAud54443Kj8TWX3/9RdbO97///crn/K9//et86xd1nJnbVVddVannyCOPXIhRAc1FUibAMmjKlCmVk7I999yzwfIdOnQokhTbbLNNo9qZ+xdCq6666gLL/uUvf6mUvfTSS+ss88EHHxTHHntssdpqq81z46xv377F7bffXhRFUbRr165yM+2LTjzxxMprhg4dWmcbM2bMqMz40qJFC78kgpItzi/ZXnzxxUrbp556ar3lFibWTJ06dZ7XzClflylTplRm1tp+++3LGSRQvPnmm0X37t0rSUc333zzQtd58sknVz7XTz755ALLzv2jlPpms1uYOPPSSy9VZnGpb2ZvSZmw6C2KWFOf6667rvKZrmummfq8+uqrxWGHHVZJ6Exm//isX79+xWOPPVaMGTOm8vd+/fo1uX9bb7115UvXGTNmNLkeoGHf/va3iyRFhw4dio8//rhRr/3Vr35VJCl69OhRZ4JEUVSflFkUC3+Ppi6SMmHRWdzXEY1Nyrzwwgsr5QcNGlRvuUMPPbRS7tZbb6233PXXX1987WtfK1q2bFkp36lTp+KYY44pJkyYUJx99tmVv19xxRVNGSJQNF+sGTNmTOV7q6985Sv1ntvcd999lVk099tvv/nWlx1r5vbBBx9UYk7fvn2rGxhQqj322KPy2a0rMbsMI0aMqLTxgx/8YL71izLOfNGMGTOKlVZaqUhSbLDBBk2qA2herQLAMqddu3ZZZZVV8vHHH+e9995bYNkJEybk888/T5L06NGjUe3MXX6ttdaquuxHH31UZ5k11lgjf/jDH/KHP/whY8aMyaRJk7LaaqulU6dOSZL33nsvU6dOTZJ85Stfmee1RVHksssuS5L06tUrAwcOrLONVq1a5cwzz8z222+f2traDB06NOedd14DIwWWBhtvvHE22GCDvPbaa7nhhhvyu9/9rs5yCxNr2rZtm1VXXbUSxxYUN9u1a5euXbtmzJgx9cY9oHE++OCD7Lrrrvnggw9SU1OTyy67LPvuu+9C1zv3ecx7772Xrbbaqt6yo0ePrizXFwMWJs6cd955mT59etZbb71Mnjw5w4YNm6/+F154obL8wAMPZMyYMUmSvffeOx06dGhouEADFlWsqc+VV15ZWT7ssMOqft0GG2yQK664IrW1tfn3v/+dyZMnp3v37pU48Mgjj1TKfjHWNMa+++6bESNG5N13382IESPyta99rcl1AQu277775m9/+1s+//zz3H333Tn44IOrfu3gwYOTJLvuumtuu+22OsvMuf/z+eefV84xunXrlp133nm+sgtzPgM0v6XtOuLSSy9NknTs2DGnnHJKveV+97vf5aqrrkqSXHbZZdl7773rLHfAAQfkgAMOyOTJkzNmzJi0atUqa665Zlq2bJkkee211yplxSxouuaKNcOGDauct/z85z+v93W77LJLdtlll9x33325+eabM2HChHTp0qWyvuxYM7err746s2bNStK46zigPF/+8pdz5513Jknef//9dO/efZG0Mcf7778/3/pFGWe+qFWrVunVq1eeeuqpOvsCLHkkZQIso7785S9n+PDhef311zNz5sy0alV3yH/55ZcryxtvvHGj2pj7Btaci8/6zL2+vr7MbfXVV8/qq68+z99GjhxZWd56663nWTd27NiMHz8+SbLFFlsssO4+ffpUluceP7D0W3XVVfPaa6/lnXfeqap8Y2NNMjv2PfTQQ0mqj33VxD1gwcaNG5f+/fvnzTffTJL84Q9/KO2m99w31xo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yySfGzZs3nT7v2rVrRtOmTc22fvbZZ07LDRw40Czz6quvOi3z4YcfpvneAbzZm2++aSxbtsy8+vrIkSPm59euVdYiIiKMAQMGGEePHnVZJnW/eeihh1yWS7mCze4V4G7VsGFDQ5LhcDgybDeQ2zzRhw3DMGrWrGnGXb58udMy3bp1M8tMnDgx3fYdO3aY26tUqWJcvnw5XZmjR4+av5d9fHyMs2fPpiuT+irU7KxyAXiD9u3bG19++WW649QU586dM8LCwszP/I8//pjlulKvlJgd48ePNxYtWpRmfEyJa/Vqd2e/12/18ssvm3E//PDDrDYXyHGu+m9qX3/9tfl57tatW5bqWbVqlTFt2jRj586dZh9KPVeV1ZUSlyxZYkgy7rjjDmPixIlmPFcrJZ44ccJo1aqVsWXLFpcxt27dahQuXNiQZAQFBTkd8wFv4ak+7E5MTIx5h4GqVatmOc6UKVPMtr7zzjsu62KOGnndpEmTDElG9erVjeHDh9tyDOnuN+z169eNxo0bm3Xt2bMnXZnx48enOY+UlJSUrsynn36a4bG1YTBHjbwn5bOak6uJ2XG+2K7zTFYwP43bjSf6sWFk/3yxYdhznok5aiBrSEqEx2zbts38oh4wYIDTMomJiUaNGjXMH4BxcXGZrueRRx4xJBm+vr7G8ePHnZb54osvzLZMmDAh3fbTp08bvr6+hpS85LYrbdq0MetytrR+6uSsL774wmmM48ePm3V16NDB4l4CucNT/XjDhg1mPaNGjcpus13au3evWU+nTp2clqlbt655IHjp0iWnZZKSkowSJUoYkoySJUvmWHuBnJBTCU1W3H///WYiUnR0tNMynkhK3L9/v/kahIeH51g9QE7IiT586dIlM2a9evVcltu9e7dZrnv37um2T5482VKC0SuvvGKWW7ZsWbrtTPggv1m2bJn5mf/HP/6R5Th2JSU6k9mkRCtOnz5txu3Ro4dtcYHcUr16dUNKvgWsXbKblHj58mUjNDTUkGTMmTPHmDVrltukRKuGDBlixlq8eHG2YgHeICf6cGrTpk0z+0x2LupNuSWsw+Ew/vzzT6dlmKNGXnfs2DEjMDDQPGZM/Ts4p48hIyIizLr+85//pNuecsFfQECAcfHiRZdxUm4VXaZMGSMxMTHdduaokdd4IpnJjvPFVlg5z+QO89O4HXmiH9t1vpikRCD3pF8/GMghS5YsMR/369fPaRkfHx899dRTkpJvPZFyqzerrl69qjVr1kiSWrVqpdDQUKflunXrpmLFikmSFi9enG770qVLlZiYmGFbJalv376SpMTERC1dujTd9pR9LlasmLp16+Y0RmhoqFq2bClJ+uGHH3T16lWX9QG5zRP9WJL+85//SJICAwM1ZMiQTD/fqpo1a6pUqVKS5PIWWHFxcZKkkiVLmt8bt3I4HKpSpYqk5FtbAbCmRYsWkpJvsXPkyJFca8dnn31mPubWGMD/xj5J5vjmzF133WU+djb+2RUHyG9SxkfJ9W/UvCj17Xxu3ryZiy0B7JHymfamz/Pw4cN14sQJtWjRwjxut0t4eLj5OD99dyHvyuk+nHIc6nA41Lt37yzF+OOPP7R161ZJUvPmzVWxYkWn5ZijRl73wgsv6OrVq+rTp0+a39KekNFv2Bs3bmjfvn2SpMaNGysoKMhlnLZt20qSzpw5ow0bNqTbzhw1kDl2nS+2wsp5JneYnwac89T5YgA5h6REeEzKgVRAQIDq16/vslzz5s3Nxxs3bsxUHdu2bTMPtlLHuZW/v78eeOAB8znx8fFO2+ouTkZtjYuL07Zt2yQlH3D6+/u7jRMbG6vt27e7LAfkNk/047i4OH3zzTeSpHbt2ikwMFCSlJCQoKNHj+rYsWNpkhyyKyWWj4/zITEsLEySdP78eV2+fNllnMOHD6cpD8C91BOkrvpgTjMMQ/PmzZOU/N3WvXv3XGkH4E1KlSqlEiVKSPrf+OZM6olWZ+Nf6v/LThwgv0n9Wze3xsfc8MUXX5iPq1evnostAbIvKipKv/zyiyTv+Tz/9NNPmjp1qvz9/TV16lTb43vDb3vALjndhw8dOqTNmzdLkpo1a6bKlStnKU7qBAZXicbMUSOvW7BggZYvX64SJUpo/PjxHq8/o9+wMTEx5uMyZcpkGCf19vXr16fbzhw1kDl2nS+2yt15powwPw045+nzxQByBjNE8JioqChJUtWqVeXn5+eyXOoDt5TnZLaOW+NkVE9CQoL++OMPp3GCgoJUtmxZlzHKlStnXkFza1v/+OMPJSQkZKotzuIA3sQT/Xj37t3mVaWNGzfW6dOn1a9fPwUHB6tSpUqqWLGigoKC9Mgjj5gTuFm1a9cucxLHVT8dMGCApOQDwzFjxjgt8/HHH+vChQtpygNwL2WS1c/PT1WrVs2w7I8//qjatWsrICBARYoUUeXKldWzZ08tWbJEhmFkuQ3r1q3T0aNHJSVfGZtyYAvkd88++6wk6eeff9bKlSudlnnnnXckSb6+vurfv3+67W3atFGlSpUkSZMnT9a1a9fSlTlx4oRmz54tKXncr1WrVobtGjFihEJDQ+Xv76/ixYurbt26euWVV/T7779b3TXA66U+CWlXIkSrVq1UsmRJ+fv7q3Tp0mrRooXGjh2b5kRpboiJidGuXbs0ePBgvfjii5KSTwo999xzudouICuuX7+uP/74Q++//77Cw8PNO3C8/PLLudwyKT4+Xs8884ySkpL06quv5kiSVU58dwGe5Mk+bMdqSIZh6PPPP5ckFSlSRD169HBajjlq5GUXL140++i4ceN0xx135HidSUlJOnPmjNauXauuXbtq/vz5kqRq1aqpTZs2acqmXkXx0qVLGcZNvf23335Lt505auRVCxcuVLVq1VS4cGEVLVpUd999t/r06aPIyMhsxbXrfLEVVs4zZYT5adzucqof58T5YrvOMzFHDWRCLt46GvnIjRs3DEmGJKN9+/ZuywcEBBiSjAceeCBT9fzzn/8069m+fXuGZcePH2+WXbVqVZptZcqUMSQZ9957r9s67733XkOSUbZs2TT/v3LlSjP++PHjM4yxfft2s+xrr73mtk4gN3iqH8+ePdusZ8yYMUapUqXMf9/65+PjY0yaNCmLe2QYPXr0MGMtXLjQZbnU3y3dunUzvvrqK2P79u3G0qVLjb///e+Gj4+PIcl48sknjYSEhCy3B8gNR44cMT/fffr08Vi9y5cvt/SdUrFiRZffASl/TZo0MU6cOJGldvTt29eM88MPP2R1d4Bck1N9+MqVK0bLli0NSUbBggWNIUOGGN9++62xbds2IyIiwmjevLkhyfD19TU+/vhjl3E2bdpklChRwpBk3HXXXca0adOMjRs3GpGRkcaECROM0qVLG5KMSpUqGfv373caIzIy0u33gI+PjzFy5EgjKSnJttcAyA2JiYlGw4YNLR/XZmTkyJFu+05wcLCxZMmSTMdOeX7z5s0z/dw+ffq4bE/hwoWNBQsWZDomkFtmzZqVYR8bOnSorWNT6v5z5MgRy88bPXq0IcmoUqWKcf36daftnzVrVpbbderUKaNo0aKGJKNUqVJp6gC8maf7cIoqVaqY496lS5eyFGPdunVmO5988kmX5ZijRl72zDPPGJKMBx98ME1fTf07ODIy0pa6MpqfqlixorFv3z6nzytXrpw5PsbGxrqM37FjRzNe48aNnZZhjhp5ibtjVUlGly5djIsXL2Ypvl3ni62wep7JFeancbvK6X5s5/liO84zMUcNZI3rZa4AG125csV8bOUKj4CAAF27dk1Xr17NsXpSX6V2az0pcay2NaMY2W0L4C081Y9TruaUpLfeekuxsbHq0KGDRo0apZo1a+rSpUv66quv9Nprr+ny5csaPHiwqlWrpnbt2mWqnq+++kqLFi2SJNWvXz/DJfHHjh2rhx56SO+++64WL16sxYsXp9let25dvfbaa3rssccy1QYgv7pw4YK5GpKvr6+52poz/v7+6tSpk1q3bq2aNWsqKChIFy9e1JYtWzR16lQdP35cmzZtUqtWrbRlyxYFBQVZbsf169f11VdfSZJCQ0P10EMPZW/HgDwkMDBQK1eu1OzZszV27FhNnDhREydOTFOmW7duGjZsmBo1auQyzoMPPqhdu3bpww8/1Icffphu9bPAwEC99dZbeuGFF1SqVCmXccqVK6du3bqpadOmqlKlivz8/HTs2DEtW7ZMc+fOVXx8vN566y3FxcW5XDUCuB1MmjTJvMVi165ddf/992crXq1atdSlSxc1bNhQISEhio+P14EDBzRv3jx9//33unjxorp3765ly5Zl+ve03Xr27Klx48apYsWKudoOwA516tTRtGnTMhwjPeXgwYPm7+2PP/5YhQsXtjW+YRh67rnnzDmDN954w/Y6AE/LyT68YcMG8/aqXbt2Ne/Ck1lWV1tkjhp51caNGzVjxgz5+flp2rRpcjgcHm+Dn5+f3nzzTb388ssu+3Lnzp01bdo0RUdHa+LEiRo+fHi6Mhs3btSKFSvMf6fut6kxR428pEiRIurUqZMefvhhVa9eXYGBgTp37pzWr1+vadOm6fz581qyZIk6d+6sH374QQUKFMhUfE+Nf5k5z+QM89O4neV0P7bzfLFd55mYowayILezIpE/HDt2zMwQ7927t9vy5cuXN1dTyYy///3vZj2HDh3KsOzMmTPNsnPnzk2zLeWKsmbNmrmts1mzZoaUvEpMap999pkZf+bMmRnGOHTokFn26aefdlsnkBs81Y/feeedNFeVdOzY0UhMTExXbsOGDWZfrVmzZqauOomKijJXcShcuLDx66+/Zlj+1KlTxpNPPmkUKlTI6ZUvfn5+RqdOnYyoqKhM7SvgDTy9UmJCQoLRtm1bs86RI0dmWD4mJsbltsuXLxutW7c2Y73yyiuZasu8efNYBQK3vZzsw1u2bDEeeughw+FwOB3/ihUrZjz//PMZru6SlJRkTJw4McOrUWvUqGHMnj3bZYyrV68acXFxLrf/9NNPRlBQkCHJcDgcxq5du7Kz20CuWbduneHn52dIMkqXLm2cPn06W/EyGkMNwzCmTZtm9sOQkJBMrWyW8rysrJR44sQJY+/evcbevXuNTZs2GVOnTjXq1atnSDKaNm1q/P7775mOCeSWmJgY8/O8bds244svvjC6du1qHgsvW7bM1vqyslLiww8/bEgyHn300XTb7Fgp8d///rcZIzw83OnxO+CtPN2HDeN/K7spi6sxGUby3UyKFStmSDLuvPPODPsdc9TIi2JjY40aNWoYkoxXX3013facWCnxwIEDxt69e43du3cba9euNd555x0jJCTE8Pf3N3r37m1cuXLF6fP+/PNPs786HA5j0KBBxu+//27ExcUZf/31l/Gf//zHKFq0qOFwOMxjAVfz6cxRIy/J6Hj19OnTRt26dc3P9uTJkzMd367zxRnJ7HkmZ5ifxu0sp/uxneeL7TjPxBw1kDU+7pIWATsUKlTIfBwXF+e2fGxsrCRl+srqzNSTUoezelLiZKetdrUF8Ba50Y8lafz48fLxST9cNW3aVN26dZMk7du3T/v27bMU/9SpU2rXrp2uXLkih8OhmTNn6p577nFZPioqSg0bNtS8efMUEBCgKVOm6Pjx44qLi9Pp06f12WefKSQkREuXLlXjxo21YcOGTOwtkP+88MILWrVqlSSpffv2euONNzIsHxwc7HJb0aJFtWDBApUsWVKSNH36dEvfTylSryzx1FNPWX4ekB8sWrRILVq00Nq1a1WrVi19/fXXOn/+vOLi4nTo0CGNGTNG8fHxmjp1qh588EGdPn06XYykpCT17NlTQ4YM0dGjR/X000/r559/1o0bN3T16lVt3LhRnTp1UlRUlPr27ashQ4Y4bUtAQECGV9I2bNhQH3/8saTk1ZpSHgO3k19//VVdu3ZVQkKCChYsqAULFqhMmTLZipnRGCpJAwYMUP/+/SUl/0a+daWVnHLnnXeqZs2aqlmzph588EE999xz2rZtmwYMGKCNGzeqUaNG2r17t0faAmRXcHCw+Xlu0KCBHn/8cS1evFifffaZDh8+rM6dO2v27Nm51r7Zs2drzZo1KlasmD744APb48+bN8/8PV+pUiXNnz/f6fE74K083YdjY2O1cOFCSVJISIhatmyZpThLlizR5cuXJUl/+9vfMux3zFEjLxozZoyioqJUoUIFjRw50iN1hoWFqWbNmqpdu7bCw8P1r3/9S/v27dN9992nuXPnqkmTJk5XOKxYsaIWLlyookWLyjAMffDBBwoLC5O/v7/KlSungQMH6sqVKxo7dqzZX4sWLZouDnPUyGsyOl4tU6aMFi1aJH9/f0nSRx99lOn4OT3+ZfY8kyvMT+N25sl+LGXvfLEd55mYowayhlkieETqgygrS19fu3ZNkrVbxGa1npQ6nNWTEic7bbWrLYC3yI1+XLlyZVWrVs1l2TZt2piPt2/f7jb2hQsX1Lp1a/3555+SpMmTJ6tXr14ZPqd37946ceKEihQpog0bNuj5559XaGioChQooDJlyqh3797asmWLypQpo4sXL6pXr15pDmIB/M/w4cM1ffp0SckHigsXLpSvr2+2YgYFBenxxx+XlPy9s2PHDkvP++uvv7R69WpJUoMGDVSjRo1stQPIS86cOaO+ffsqNjZW9957rzZv3qwuXbqoRIkSKlCggKpUqaLhw4dr2bJlcjgc+vXXX/XSSy+lizNlyhTzpOuoUaM0Y8YM1a1bV4UKFVJAQICaNGmib775Rr1795Ykvf/++2luWZUZPXv2NG+rsX79+izuOZA7jhw5otatWysmJka+vr764osv1Lx5c4/UPWDAAPNxbvYdX19fffjhhypfvrxiYmL0/PPP51pbADv07t1bjz76qJKSkjRw4EDFxMR4vA3nzp3T0KFDJUnvvPOOQkJCbI2/YsUK9evXT4ZhqEyZMvrhhx9UtmxZW+sAcktO9eFvvvlGFy9elCQ9+eSTWT4ezkwCA3PUyGv279+vd999V1JygkPq2656WvHixTVnzhxJ0p49e8x23ap169b65Zdf9PTTT5sJDykeeOABffvtt3rxxRfNPlq8ePF0MZijRn5TpUoVtWrVSpJ08OBBnTp1KlPPz8nxLyvnmZxhfhp5nZ392O7zxbfK6nmmWzFHDaRHUiI8olChQipVqpQk6cSJExmWjYmJMX8Ali9fPlP1hIaGmo/d1XP8+HHz8a31pMRxFyN1HFcxstsWwFt4qh+nLp+6H7kre/bs2QzLXrlyRW3bttWvv/4qKfmkjLMEitR2796tnTt3SkqeLHZ1UBgSEmLGOnnypLkKHID/GTdunMaOHStJqlevnpYvX27bygupr0I9efKkpefMmzdPiYmJkrgKFbhVRESEOY6PGDHC5Umehx9+WA8//LAkafHixelO1s6cOVNS8gTSa6+95rK+MWPGmI9nzJiRpTb7+fkpLCxMkvXvAcAbnDp1Si1bttSpU6fkcDj06aefqmvXrh6rPytjaE7x9/dX27ZtJUlbtmzJ9GQ14G06d+4sKfmExsqVKz1e/4wZM3T+/HkFBwerZMmSioiISPf3008/meV/+ukn8//dHV+vW7dOPXr0UHx8vIoXL67vv/9eVatWzeldAjwqJ/qwHashnTlzRt9//70kqX79+m5XZWKOGnnNpEmTFBcXpypVquj69etOx7fUKyStXbvW/P/UiUd2qVGjhu6++25JyXcccKVKlSqaMWOGzp07p1OnTunAgQO6dOmStmzZonbt2qVZKfzWfs0cNfKr7Byv5tT4l5XzTK4wP438IDv9OKfOF7tixxwZc9RAen653QDkHzVq1NCGDRt08OBBJSQkyM/P+cdv//79aZ6TGakHi9RxMqrHz88v3cTpPffco507d+rSpUs6ffq0yyu9//rrL/NWGbe2NSwsTL6+vkpMTLTcFmdxAG/iiX587733mo9TDshcSb3dVVsk6caNG+rYsaN5dcyrr76qf/3rX27bEhUVZT6uV69ehmXr169vPt6/f785eQ0gebW0lISkGjVq6LvvvjOvFrODYRiZfs7cuXMlSQUKFMjSlaxAXpbZ8W/16tVKSkrS77//rkaNGqWLc88996hgwYIuY4SGhqpMmTI6c+aM29/NGcnKdwGQm6Kjo9WqVSsdPnxYUvJKL54+EeFt/eaOO+4wHx89etT2ld0AT7r18+xpKasjXbx4UX/729/clp82bZqmTZsmSYqMjFTp0qWdltu2bZs6duyomzdvKjAwUCtXrlTt2rXtazjgJezuw2fPntV3330nKfk3ds2aNbMUJ3UCQ58+fdyWZ44aeU3K+Hb48GFL8znvvPOO+fjIkSM5srLiHXfcoT/++MPSd4XD4VC5cuVUrly5NP+/ceNG83Hq42qJOWrkX9k5XrXrfHFqWT3P5Arz08gPstOPc+J8cUbsmiPztrk2ILexUiI8pmnTppKSry5NuarLmdRL2TZp0iRTdTRo0ED+/v7p4twqLi5OW7duTfecW9vqLk5GbfX391fDhg0lJa/yEBcX5zZOwYIFdf/997ssB+Q2T/TjihUrqkKFCpKkQ4cOZVg29fY777zTaZn4+Hh1797dbNNzzz2n9957z1JbUv9wTUhIyLBsfHy80+cB+d3cuXM1cOBASclXha9evdpcddUuv/32m/nYSvLCL7/8oj179kiS2rdvn+7WOUB+Z9f4l/JvdzFSx8nqGJqQkKDff/9dkrXvASC3Xbp0SW3atDHHsLFjx+rFF1/0eDsyO4bmtNRXkXPbSNzu8uLnec+ePWrbtq2uXr2qQoUKadmyZekSJ4C8wu4+PH/+fPN3cXYuQkhZbdFqAgNz1EDOS/m+yM53xfz58yVJhQsXVseOHdNsY44a+VV2jlftOl+cIjvnmZxhfhr5RXb6sd3ni92xY46MOWogPZIS4TFdunQxH8+aNctpmaSkJHNiJTg4WOHh4Zmqo2jRouYt5FavXu1ySe7FixebKxw6uzVWp06d5OPjk2FbJWn27NmSJB8fH3Xq1Cnd9pR9vnz5shYvXuw0xokTJ7R69WpJybfAK1q0qMv6gNzmiX4sSd27d5eUfEuazZs3uyyXul81a9Ys3fbExEQ98cQT5m12evfurSlTplhuR+XKlc3HGzZsyLBs6gPb1M8D8rPFixerX79+MgxDoaGhWrNmje0HYpcuXdKXX34pSSpSpIilEyepb5llZWUJIL/JzPj3448/Skpe7aFSpUpO4+zbt08XL150GWPfvn26cOFCurozIyIiwvx937x58yzFADzl+vXrat++vX7++WdJ0uuvv65//vOfudKWTz75xHyc230n9e0xCxcurLvuuitX2wNk18KFC83HtWrV8nj9o0aNkmEYGf6lPq6fNWuW+f8tWrRIF+/3339X69atFRMTowIFCuirr75yWg7IK+zuwynHoX5+fnriiSeyFGPv3r3mLV4feeQRyxf8MUeNvGT27Nlux7eRI0ea5SMjI83/v/WY1Q7bt283V0jM6nfFwoULzb79xBNPKDg4OM125qiRHx0+fFg//PCDpOQL3TObZGTX+WIp++eZnGF+GvlBdvuxZN/5Yneycp7JGeaoAScMwIOaNWtmSDL8/PyMzZs3p9v+3nvvGZIMScbIkSPTbZ81a1aG2w3DMNasWWOW6dSpk5GQkJBm+7lz54wKFSoYkozg4GDjwoULTuP07t3bjLNw4cJ02xcsWGBu79Onj9MY58+fN4KCggxJRsWKFY3o6Og02xMSEoyOHTuacdauXes0DuBNPNGPjx49ahQqVMiQZNSvX9+4evVqujJz584147Rv3z7d9qSkJKNfv35mme7du6f7PnAnMTHRuPPOOw1Jhq+vr7F69Wqn5Xbu3GkEBAQYkowiRYoYMTExmaoHyE1HjhxxO57dyko//u677wx/f39DklG6dGlj//79mW7bypUrjevXr7vcfvnyZaN169ZmW15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" ] @@ -317,7 +317,7 @@ }, { "data": { - "image/png": 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MPfDAA0pLS3N0fHMiJCREHTt21O23365GjRqpevXqqlSpkk6dOqUdO3ZoxowZOnjwoBYtWqSAgAC3K46mpKSoZ8+e2r59uySpc+fOevDBB1W3bl2dPn1aixcv1qxZs/TNN9+oV69e2rRpk0JCQnLEYY4axdWf//xnPfTQQx63h4aG5it+fu8Xm7rPxPw0irOC7sf5vV+cXX7uM2XHHDWQC4WdFYmSJWuVlKCgILff2nzllVfsDPLnnnsuT3WsX7/+qm93pqWlXbX91KlTVq1atSxJVoUKFTx+cyX7N1EXLlyYY/vChQvt7SNHjnQbIykpyYqIiLAkWbVq1bJOnTp11fa0tDSrd+/edpwNGzbkaZ8Bf/JHP7Ysyxo+fLhdT1xcnMdyGRkZ1pUrV3L8f2xsrDVz5kzr0qVLbp/322+/We3bt7fb+t5777ktN2bMGLvMk08+6bbMG2+8cdW4AxRlzz77rLV8+XL729cHDx60P7+mVlmLi4uzRo8ebR06dMhjmez95o477vBYLusbbKZXgLtW69atLUmWy+Xy2m6gsPmjD1uWZTVu3NiOu2LFCrdlBgwYYJeZMmVKju3ffPONvb1evXrWuXPncpQ5dOiQfb4cEBBgnTx5MkeZ7N9Czc8qF0BR0LNnT+vDDz/McZ2a5dSpU1Z0dLT9mf/iiy/yXFf2lRLz49VXX7UWL1581fExK67Tb7u7O1+/1qOPPmrHfeONN/LaXKDAeeq/2f3nP/+xP88DBgzIUz2rVq2yZsyYYW3bts3uQ9nnqvK6UuLSpUstSVaVKlWsKVOm2PE8rZR45MgRq0uXLlZ8fLzHmJs3b7bKlCljSbLCw8PdHvOBosJffdiXpKQk+xcG6tevn+c4b731lt3W559/3mNdzFGjuJs6daolyWrYsKE1btw4I9eQvs5hL168aLVt29aua+fOnTnKvPrqq1fdR8rIyMhR5p133vF6bW1ZzFGj+Mn6rBbkamIm7hebus/kBPPTuN74ox9bVv7vF1uWmftMzFEDeUNSIvxmy5Yt9kA9evRot2XS09OtRo0a2SeAqampua7nrrvusiRZgYGB1uHDh92W+eCDD+y2TJ48Ocf248ePW4GBgZaUueS2J926dbPrcre0fvbkrA8++MBtjMOHD9t19erVy+FeAoXDX/1448aNdj0TJkzIb7M92rVrl11Pnz593JZp0aKFfSF49uxZt2UyMjKsihUrWpKsSpUqFVh7gYJQUAlNTtx66612IlJiYqLbMv5ISvzxxx/t1yAmJqbA6gEKQkH04bNnz9oxb7nlFo/lduzYYZcbOHBgju3Tpk1zlGD0l7/8xS63fPnyHNuZ8EFJs3z5cvsz///+3//LcxxTSYnu5DYp0Ynjx4/bcQcNGmQsLlBYGjZsaEmZPwFrSn6TEs+dO2fVqFHDkmS9++671pw5c3wmJTo1duxYO9aSJUvyFQsoCgqiD2c3Y8YMu8/k50u9WT8J63K5rJ9//tltGeaoUdz98ssvVlhYmH3NmP08uKCvIePi4uy6/vWvf+XYnvWFv9DQUCs5OdljnKyfiq5WrZqVnp6eYztz1Chu/JHMZOJ+sRNO7jP5wvw0rkf+6Mem7heTlAgUnpzrBwMFZOnSpfbjkSNHui0TEBCg++67T1LmT09k/dSbUxcuXNDatWslSV26dFGNGjXclhswYIDKly8vSVqyZEmO7cuWLVN6errXtkrSiBEjJEnp6elatmxZju1Z+1y+fHkNGDDAbYwaNWqoc+fOkqTPPvtMFy5c8FgfUNj80Y8l6V//+pckKSwsTGPHjs31851q3LixKleuLEkefwIrNTVVklSpUiV73LiWy+VSvXr1JGX+tBUAZzp16iQp8yd2Dh48WGjteO+99+zH/DQG8L9jnyT7+ObOjTfeaD92d/wzFQcoabKOj5Lnc9TiKPvP+Vy6dKkQWwKYkfWZLkqf53HjxunIkSPq1KmTfd1uSkxMjP24JI1dKL4Kug9nXYe6XC4NHz48TzH27t2rzZs3S5I6duyo2rVruy3HHDWKu4ceekgXLlxQbGzsVefS/uDtHDYlJUW7d++WJLVt21bh4eEe43Tv3l2SdOLECW3cuDHHduaogdwxdb/YCSf3mXxhfhpwz1/3iwEUHJIS4TdZF1KhoaFq2bKlx3IdO3a0H2/atClXdWzZssW+2Moe51rBwcG67bbb7OdcuXLFbVt9xfHW1tTUVG3ZskVS5gVncHCwzziXL1/W1q1bPZYDCps/+nFqaqo+/vhjSVKPHj0UFhYmSUpLS9OhQ4f0yy+/XJXkkF9ZsQIC3B8So6OjJUmnT5/WuXPnPMY5cODAVeUB+JZ9gtRTHyxolmVp/vz5kjLHtoEDBxZKO4CipHLlyqpYsaKk/x3f3Mk+0eru+Jf9//ITByhpsp/rFtbxsTB88MEH9uOGDRsWYkuA/EtISNB3330nqeh8nr/++mtNnz5dwcHBmj59uvH4ReHcHjCloPvw/v379dVXX0mSOnTooLp16+YpTvYEBk+JxsxRo7hbuHChVqxYoYoVK+rVV1/1e/3ezmGTkpLsx9WqVfMaJ/v2DRs25NjOHDWQO6buFzvl6z6TN8xPA+75+34xgILBDBH8JiEhQZJUv359BQUFeSyX/cIt6zm5rePaON7qSUtL0969e93GCQ8PV/Xq1T3GiIyMtL9Bc21b9+7dq7S0tFy1xV0coCjxRz/esWOH/a3Stm3b6vjx4xo5cqQiIiJUp04d1a5dW+Hh4brrrrvsCdy82r59uz2J46mfjh49WlLmheHEiRPdlnnzzTd15syZq8oD8C1rkjUoKEj169f3WvaLL75Q06ZNFRoaqrJly6pu3boaMmSIli5dKsuy8tyG9evX69ChQ5IyvxmbdWELlHR/+tOfJEnffvutVq5c6bbM888/L0kKDAzUqFGjcmzv1q2b6tSpI0maNm2afvvttxxljhw5orlz50rKPO43adLEa7ueeeYZ1ahRQ8HBwapQoYJatGihv/zlL/rpp5+c7hpQ5GW/CWkqEaJLly6qVKmSgoODVbVqVXXq1EmTJk266kZpYUhKStL27dv1+OOP6+GHH5aUeVPowQcfLNR2AXlx8eJF7d27V6+99ppiYmLsX+B49NFHC7ll0pUrV/TAAw8oIyNDTz75ZIEkWRXE2AX4kz/7sInVkCzL0vvvvy9JKlu2rAYNGuS2HHPUKM6Sk5PtPvryyy+rSpUqBV5nRkaGTpw4oc8//1z9+/fXggULJEkNGjRQt27driqbfRXFs2fPeo2bffsPP/yQYztz1CiuFi1apAYNGqhMmTIqV66cbrrpJsXGxmrdunX5imvqfrETTu4zecP8NK53BdWPC+J+san7TMxRA7lQiD8djRIkJSXFkmRJsnr27OmzfGhoqCXJuu2223JVz1//+le7nq1bt3ot++qrr9plV61addW2atWqWZKsm2++2WedN998syXJql69+lX/v3LlSjv+q6++6jXG1q1b7bJPP/20zzqBwuCvfjx37ly7nokTJ1qVK1e2/33tX0BAgDV16tQ87pFlDRo0yI61aNEij+Wyjy0DBgywPvroI2vr1q3WsmXLrD/+8Y9WQECAJckaNmyYlZaWluf2AIXh4MGD9uc7NjbWb/WuWLHC0ZhSu3Ztj2NA1l+7du2sI0eO5KkdI0aMsON89tlned0doNAUVB8+f/681blzZ0uSFRISYo0dO9b673//a23ZssWKi4uzOnbsaEmyAgMDrTfffNNjnC+//NKqWLGiJcm68cYbrRkzZlibNm2y1q1bZ02ePNmqWrWqJcmqU6eO9eOPP7qNsW7dOp/jQEBAgDV+/HgrIyPD2GsAFIb09HSrdevWjq9rvRk/frzPvhMREWEtXbo017Gznt+xY8dcPzc2NtZje8qUKWMtXLgw1zGBwjJnzhyvfeyJJ54wemzK3n8OHjzo+HkvvviiJcmqV6+edfHiRbftnzNnTp7bdezYMatcuXKWJKty5cpX1QEUZf7uw1nq1atnH/fOnj2bpxjr16+32zls2DCP5ZijRnH2wAMPWJKs22+//aq+mv08eN26dUbq8jY/Vbt2bWv37t1unxcZGWkfHy9fvuwxfu/eve14bdu2dVuGOWoUJ76uVSVZ/fr1s5KTk/MU39T9Yiec3mfyhPlpXK8Kuh+bvF9s4j4Tc9RA3nhe5gow6Pz58/ZjJ9/wCA0N1W+//aYLFy4UWD3Zv6V2bT1ZcZy21VuM/LYFKCr81Y+zvs0pSc8995wuX76sXr16acKECWrcuLHOnj2rjz76SE8//bTOnTunxx9/XA0aNFCPHj1yVc9HH32kxYsXS5JatmzpdUn8SZMm6Y477tBLL72kJUuWaMmSJVdtb9GihZ5++mndfffduWoDUFKdOXPGXg0pMDDQXm3NneDgYPXp00ddu3ZV48aNFR4eruTkZMXHx2v69Ok6fPiwvvzyS3Xp0kXx8fEKDw933I6LFy/qo48+kiTVqFFDd9xxR/52DChGwsLCtHLlSs2dO1eTJk3SlClTNGXKlKvKDBgwQE899ZTatGnjMc7tt9+u7du364033tAbb7yRY/WzsLAwPffcc3rooYdUuXJlj3EiIyM1YMAAtW/fXvXq1VNQUJB++eUXLV++XPPmzdOVK1f03HPPKTU11eOqEcD1YOrUqfZPLPbv31+33nprvuI1adJE/fr1U+vWrRUVFaUrV65oz549mj9/vlavXq3k5GQNHDhQy5cvz/X5tGlDhgzRyy+/rNq1axdqOwATmjdvrhkzZng9RvrLvn377PPtN998U2XKlDEa37IsPfjgg/acwT/+8Q/jdQD+VpB9eOPGjfbPq/bv39/+FZ7ccrraInPUKK42bdqkWbNmKSgoSDNmzJDL5fJ7G4KCgvTss8/q0Ucf9diX+/btqxkzZigxMVFTpkzRuHHjcpTZtGmTPvnkE/vf2fttdsxRozgpW7as+vTpozvvvFMNGzZUWFiYTp06pQ0bNmjGjBk6ffq0li5dqr59++qzzz5TqVKlchXfX8e/3Nxncof5aVzPCrofm7xfbOo+E3PUQB4UdlYkSoZffvnFzhAfPny4z/I1a9a0V1PJjT/+8Y92Pfv37/dadvbs2XbZefPmXbUt6xtlHTp08Flnhw4dLClzlZjs3nvvPTv+7NmzvcbYv3+/Xfb+++/3WSdQGPzVj59//vmrvlXSu3dvKz09PUe5jRs32n21cePGufrWSUJCgr2KQ5kyZazvv//ea/ljx45Zw4YNs0qXLu32my9BQUFWnz59rISEhFztK1AU+HulxLS0NKt79+52nePHj/daPikpyeO2c+fOWV27drVj/eUvf8lVW+bPn88qELjuFWQfjo+Pt+644w7L5XK5Pf6VL1/e+vOf/+x1dZeMjAxrypQpXr+N2qhRI2vu3LkeY1y4cMFKTU31uP3rr7+2wsPDLUmWy+Wytm/fnp/dBgrN+vXrraCgIEuSVbVqVev48eP5iuftGGpZljVjxgy7H0ZFReVqZbOs5+VlpcQjR45Yu3btsnbt2mV9+eWX1vTp061bbrnFkmS1b9/e+umnn3IdEygsSUlJ9ud5y5Yt1gcffGD179/fvhZevny50fryslLinXfeaUmyBg8enGObiZUSX3jhBTtGTEyM2+t3oKjydx+2rP+t7KY8rsZkWZm/ZlK+fHlLknXDDTd47XfMUaM4unz5stWoUSNLkvXkk0/m2F4QKyXu2bPH2rVrl7Vjxw7r888/t55//nkrKirKCg4OtoYPH26dP3/e7fN+/vlnu7+6XC7rscces3766ScrNTXV+vXXX61//etfVrly5SyXy2VfC3iaT2eOGsWJt+vV48ePWy1atLA/29OmTct1fFP3i73J7X0md5ifxvWsoPuxyfvFJu4zMUcN5E2Ar6RFwITSpUvbj1NTU32Wv3z5siTl+pvVuaknqw539WTFyU9bTbUFKCoKox9L0quvvqqAgJyHq/bt22vAgAGSpN27d2v37t2O4h87dkw9evTQ+fPn5XK5NHv2bP3ud7/zWD4hIUGtW7fW/PnzFRoaqrfeekuHDx9Wamqqjh8/rvfee09RUVFatmyZ2rZtq40bN+Zib4GS56GHHtKqVaskST179tQ//vEPr+UjIiI8bitXrpwWLlyoSpUqSZLefvttR+NTluwrS9x3332OnweUBIsXL1anTp30+eefq0mTJvrPf/6j06dPKzU1Vfv379fEiRN15coVTZ8+XbfffruOHz+eI0ZGRoaGDBmisWPH6tChQ7r//vv17bffKiUlRRcuXNCmTZvUp08fJSQkaMSIERo7dqzbtoSGhnr9Jm3r1q315ptvSspcrSnrMXA9+f7779W/f3+lpaUpJCRECxcuVLVq1fIV09sxVJJGjx6tUaNGSco8R752pZWCcsMNN6hx48Zq3Lixbr/9dj344IPasmWLRo8erU2bNqlNmzbasWOHX9oC5FdERIT9eW7VqpXuueceLVmyRO+9954OHDigvn37au7cuYXWvrlz52rt2rUqX768Xn/9dePx58+fb5/P16lTRwsWLHB7/Q4UVf7uw5cvX9aiRYskSVFRUercuXOe4ixdulTnzp2TJP3hD3/w2u+Yo0ZxNHHiRCUkJKhWrVoaP368X+qMjo5W48aN1bRpU8XExOjvf/+7du/erWbNmmnevHlq166d2xUOa9eurUWLFqlcuXKyLEuvv/66oqOjFRwcrMjISI0ZM0bnz5/XpEmT7P5arly5HHGYo0Zx4+16tVq1alq8eLGCg4MlSf/85z9zHb+gj3+5vc/kCfPTuJ75sx9L+btfbOI+E3PUQN4wSwS/yH4R5WTp699++02Ss5+IzWs9WXW4qycrTn7aaqotQFFRGP24bt26atCggcey3bp1sx9v3brVZ+wzZ86oa9eu+vnnnyVJ06ZN09ChQ70+Z/jw4Tpy5IjKli2rjRs36s9//rNq1KihUqVKqVq1aho+fLji4+NVrVo1JScna+jQoVddxAL4n3Hjxuntt9+WlHmhuGjRIgUGBuYrZnh4uO655x5JmePON9984+h5v/76q9asWSNJatWqlRo1apSvdgDFyYkTJzRixAhdvnxZN998s7766iv169dPFStWVKlSpVSvXj2NGzdOy5cvl8vl0vfff69HHnkkR5y33nrLvuk6YcIEzZo1Sy1atFDp0qUVGhqqdu3a6eOPP9bw4cMlSa+99tpVP1mVG0OGDLF/VmPDhg153HOgcBw8eFBdu3ZVUlKSAgMD9cEHH6hjx45+qXv06NH248LsO4GBgXrjjTdUs2ZNJSUl6c9//nOhtQUwYfjw4Ro8eLAyMjI0ZswYJSUl+b0Np06d0hNPPCFJev755xUVFWU0/ieffKKRI0fKsixVq1ZNn332mapXr260DqCwFFQf/vjjj5WcnCxJGjZsWJ6vh3OTwMAcNYqbH3/8US+99JKkzASH7D+76m8VKlTQu+++K0nauXOn3a5rde3aVd99953uv/9+O+Ehy2233ab//ve/evjhh+0+WqFChRwxmKNGSVOvXj116dJFkrRv3z4dO3YsV88vyONfXu4zucP8NIo7k/3Y9P3ia+X1PtO1mKMGciIpEX5RunRpVa5cWZJ05MgRr2WTkpLsE8CaNWvmqp4aNWrYj33Vc/jwYfvxtfVkxfEVI3scTzHy2xagqPBXP85ePns/8lX25MmTXsueP39e3bt31/fffy8p86aMuwSK7Hbs2KFt27ZJypws9nRRGBUVZcc6evSovQocgP95+eWXNWnSJEnSLbfcohUrVhhbeSH7t1CPHj3q6Dnz589Xenq6JL6FClwrLi7OPo4/88wzHm/y3HnnnbrzzjslSUuWLMlxs3b27NmSMieQnn76aY/1TZw40X48a9asPLU5KChI0dHRkpyPA0BRcOzYMXXu3FnHjh2Ty+XSO++8o/79+/ut/rwcQwtKcHCwunfvLkmKj4/P9WQ1UNT07dtXUuYNjZUrV/q9/lmzZun06dOKiIhQpUqVFBcXl+Pv66+/tst//fXX9v/7ur5ev369Bg0apCtXrqhChQpavXq16tevX9C7BPhVQfRhE6shnThxQqtXr5YktWzZ0ueqTMxRo7iZOnWqUlNTVa9ePV28eNHt8S37Ckmff/65/f/ZE49MadSokW666SZJmb844Em9evU0a9YsnTp1SseOHdOePXt09uxZxcfHq0ePHletFH5tv2aOGiVVfq5XC+r4l5f7TJ4wP42SID/9uKDuF3tiYo6MOWogp6DCbgBKjkaNGmnjxo3at2+f0tLSFBTk/uP3448/XvWc3Mh+sMgex1s9QUFBOSZOf/e732nbtm06e/asjh8/7vGb3r/++qv9UxnXtjU6OlqBgYFKT0933BZ3cYCixB/9+Oabb7YfZ12QeZJ9u6e2SFJKSop69+5tfzvmySef1N///nefbUlISLAf33LLLV7LtmzZ0n78448/2pPXADJXS8tKSGrUqJE+/fRT+9tiJliWlevnzJs3T5JUqlSpPH2TFSjOcnv8W7NmjTIyMvTTTz+pTZs2OeL87ne/U0hIiMcYNWrUULVq1XTixAmf583e5GUsAApTYmKiunTpogMHDkjKXOnF3zciilq/qVKliv340KFDxld2A/zp2s+zv2WtjpScnKw//OEPPsvPmDFDM2bMkCStW7dOVatWdVtuy5Yt6t27ty5duqSwsDCtXLlSTZs2NddwoIgw3YdPnjypTz/9VFLmOXbjxo3zFCd7AkNsbKzP8sxRo7jJOr4dOHDA0XzO888/bz8+ePBggaysWKVKFe3du9fRWOFyuRQZGanIyMir/n/Tpk324+zX1RJz1Ci58nO9aup+cXZ5vc/kCfPTKAny048L4n6xN6bmyIraXBtQ2FgpEX7Tvn17SZnfLs36Vpc72ZeybdeuXa7qaNWqlYKDg3PEuVZqaqo2b96c4znXttVXHG9tDQ4OVuvWrSVlrvKQmprqM05ISIhuvfVWj+WAwuaPfly7dm3VqlVLkrR//36vZbNvv+GGG9yWuXLligYOHGi36cEHH9Qrr7ziqC3ZT1zT0tK8lr1y5Yrb5wEl3bx58zRmzBhJmd8KX7Nmjb3qqik//PCD/dhJ8sJ3332nnTt3SpJ69uyZ46dzgJLO1PEv69++YmSPk9djaFpamn766SdJzsYBoLCdPXtW3bp1s49hkyZN0sMPP+z3duT2GFrQsn+LnJ+NxPWuOH6ed+7cqe7du+vChQsqXbq0li9fniNxAiguTPfhBQsW2OfF+fkSQtZqi04TGJijBgpe1niRn7FiwYIFkqQyZcqod+/eV21jjholVX6uV03dL86Sn/tM7jA/jZIiP/3Y9P1iX0zMkTFHDeREUiL8pl+/fvbjOXPmuC2TkZFhT6xEREQoJiYmV3WUK1fO/gm5NWvWeFySe8mSJfYKh+5+GqtPnz4KCAjw2lZJmjt3riQpICBAffr0ybE9a5/PnTunJUuWuI1x5MgRrVmzRlLmT+CVK1fOY31AYfNHP5akgQMHSsr8SZqvvvrKY7ns/apDhw45tqenp+vee++1f2Zn+PDheuuttxy3o27duvbjjRs3ei2b/cI2+/OAkmzJkiUaOXKkLMtSjRo1tHbtWuMXYmfPntWHH34oSSpbtqyjGyfZfzLLycoSQEmTm+PfF198ISlztYc6deq4jbN7924lJyd7jLF7926dOXMmR925ERcXZ5/fd+zYMU8xAH+5ePGievbsqW+//VaS9Le//U1//etfC6UtM2fOtB8Xdt/J/vOYZcqU0Y033lio7QHya9GiRfbjJk2a+L3+CRMmyLIsr3/Zr+vnzJlj/3+nTp1yxPvpp5/UtWtXJSUlqVSpUvroo4/clgOKC9N9OOs6NCgoSPfee2+eYuzatcv+ide77rrL8Rf+mKNGcTJ37lyfx7fx48fb5detW2f//7XXrCZs3brVXiExr2PFokWL7L597733KiIi4qrtzFGjJDp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" ] @@ -371,7 +371,7 @@ }, { "data": { - "image/png": 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" ] @@ -474,7 +474,7 @@ "execution_count": 13, "id": "4ac72a43", "metadata": { - "scrolled": true + "scrolled": false }, "outputs": [ { @@ -483,37 +483,36 @@ "text": [ "mu= 0.1 useExco= True\n", "Optimization terminated successfully.\n", - " Current function value: 0.106496\n", + " Current function value: 0.150789\n", " Iterations: 11\n", " Function evaluations: 22\n", "mu= 0.2 useExco= True\n", "Optimization terminated successfully.\n", - " Current function value: 0.208065\n", + " Current function value: 0.252361\n", " Iterations: 13\n", - " Function evaluations: 26\n", + " Function evaluations: 25\n", "mu= 1 useExco= True\n", "Optimization terminated successfully.\n", - " Current function value: 0.529288\n", + " Current function value: 0.574270\n", " Iterations: 9\n", " Function evaluations: 19\n", "mu= 10 useExco= True\n", "Optimization terminated successfully.\n", - " Current function value: 0.887021\n", + " Current function value: 0.932025\n", " Iterations: 14\n", " Function evaluations: 25\n", "mu= 0.1 useExco= False\n", "Optimization terminated successfully.\n", - " Current function value: 0.061807\n", + " Current function value: 0.127283\n", " Iterations: 11\n", - " Function evaluations: 23\n", - "mu= 0.2 useExco= False\n" + " Function evaluations: 22\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/home/franzf/tmp/OQC/optimization/newbeginning.py:251: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", + "/home/franzf/OpenQuantumComputing/optimization/newbeginning.py:334: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", " fig=pl.figure(figsize=(20,10), dpi=200, facecolor='w', edgecolor='k');\n" ] }, @@ -521,25 +520,26 @@ "name": "stdout", "output_type": "stream", "text": [ + "mu= 0.2 useExco= False\n", "Optimization terminated successfully.\n", - " Current function value: 0.116218\n", - " Iterations: 10\n", - " Function evaluations: 21\n", + " Current function value: 0.181757\n", + " Iterations: 9\n", + " Function evaluations: 19\n", "mu= 1 useExco= False\n", "Optimization terminated successfully.\n", - " Current function value: 0.549216\n", - " Iterations: 11\n", - " Function evaluations: 23\n", + " Current function value: 0.615001\n", + " Iterations: 12\n", + " Function evaluations: 24\n", "mu= 10 useExco= False\n", "Optimization terminated successfully.\n", - " Current function value: 5.391501\n", + " Current function value: 5.457587\n", " Iterations: 10\n", " Function evaluations: 21\n" ] }, { "data": { - "image/png": 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" ] @@ -635,7 +635,7 @@ }, { "data": { - "image/png": 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" ] @@ -689,7 +689,7 @@ }, { "data": { - "image/png": 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" ] @@ -743,7 +743,7 @@ }, { "data": { - "image/png": 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" ] @@ -797,7 +797,7 @@ }, { "data": { - "image/png": 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" ] @@ -851,7 +851,7 @@ }, { "data": { - "image/png": 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KXDL3ncLuvPPOOtvsvvvuDR6fVCKXFLXxxhuXktlX0X3rrbcWKAY0N5X4zrcxc1/xckFVKpfMfcVL51aBuii8bIb+9a9/lTcOhx56aJ1tZs2aVVpnnXXKXxQ2VAhQn//5n/8p9/PEE0/U2eaJJ55osKiyVCqVx7HccsuVPvvsszrbnHnmmQ0WVb7//vulFi1alJKUdthhh3rHvMMOO5Q3rO+//36BWULzVq18MmzYsEa/KGzMzjvvXI7xyiuv1Ntun332KSUpLbXUUqWPPvpovvU//vGPy3Fuv/32euMMGjSo3O65555boDFDc7U4v5y7/vrry33/8Y9/nG99pXLJrFmzSmuttVYpSWmDDTZQoA1Vcscdd5Q/w0cdddQCx9lxxx3LPzwZM2ZMnW3mzie/+c1v5ltfqXzyRW+99VZpmWWWKSUpPfzww/OcqHRyECqjUrmkMRdddFG5n9NOO63ONnO+2Gzfvn1p0qRJ9cbafPPNS0lKXbt2LVQQVpfPP/+8nF822mijBYoBzGvttdcuJbNvOV4J5557bilJae211y5Nnz69UOHlotonKZUUXsKiUM39/aYWXl5wwQXl9r///e/rbdfQ+dW5iyT22WefemO88sor5XbHHXdc4TkBsy2KXPLxxx+XY3zjG9+ot92zzz5bbrf77rvPt74SuaSIl156qfz4AQMGNPnx0Fx9WQovK5VLFF4CjXHPwmbo1ltvLS8feOCBdbZp0aJF9t9//yTJpEmT8tBDDzWpj1KplNtuuy1J0qdPn2yyySZ1tttkk02y9tprJ0luu+22eW5nkSSvvPJKXnzxxSTJ9773vbRr167OOAcccEB5+ZZbbplv/e23357a2tok9c957ji1tbW5/fbb620HzFaNfJIkf/zjH5MknTp1ypFHHtn0gSZ56qmnkiS9evXKWmutVW+7b33rW0lm31K8rjwwY8aM8vIaa6xRb5w111yzzscAS7YOHTqUl6dNmzbf+krlkr///e959dVXkyQnnXRSWrVqtVDjBooZMGBAebmpt8yb45NPPsmDDz6YZPYtfVdZZZU62+2+++7p2LFjkrqPUSqVT77oiCOOyKeffprBgwdnq622arQ90HSVyCVFXH311Ulm3wZ8zjHV3KZOnZp///vfSZJNN900nTp1qjfWnFzywQcflG+z1VStWrUq36a8rv0koOnmHH9U4jP11ltv5ZRTTkmSXHTRRWndunWhxy2qfRJg0ViS9/crcd50Tk5Kkh133LHeGGuttVY5zt/+9rcmjxWau0WRSyr13Um1voOZc7yVuM04fBX5PheoFoWXzdCjjz6aJGnfvn369etXb7u5d7Qfe+yxJvXxxhtv5L333psvTkP9vPvuu3nzzTfrHGtjcbp165bevXvXO9aicRZmztAcVSOfzJgxo1zIPXDgwPIXfbNmzcqYMWPy5ptvFvqC4qOPPkqSrLjiig22m3v9P//5z/nWzykWT5L//Oc/9caZ8wVsTU1Ng19cAEuWoUOHlpf79Okz3/pK5ZIbb7wxyewc8e1vf7v89wkTJuTVV1/NhAkTmjZwoJDp06eXl1u2bLlAMZ588snySbiGji1at25d/gHak08+mc8//3ye9ZXKJ3P761//mjvvvDPLLbdczjnnnAbbAguuErmkMa+//noef/zxJMmWW26Z1VZbbb42c+8vVDKX1OfBBx/M+PHjk9S9nwQ0zcsvv5xnnnkmSWU+U4cffng+++yz7Lffftl6660LP25R7JMAi8aSvr/f1POmX3xM8t+clBTPS2+++WbefvvtJo0VmrNFlUu6dOmS5ZZbLsmC54Av/m1h4jSkVCrlL3/5S5LZ32/tscceTXo8sOSrRi4BSBReNktzriDZq1evBq+uNPcJvzmPKeqFF16oM05T+1mQOGPGjMlnn31WZ5xOnTqlW7du9cbo3r17+ao0TZ0zNEfVyCfPPvtsubByvfXWy+TJk3PMMcekS5cuWXXVVbP66qunU6dOGThwYB5++OF64yyzzDJJko8//rjB/uZeP3cOmmPvvfcu54mzzz47s2bNmq/NqFGjctdddyVJfvCDH5TbA0ue2trajBs3Lv/4xz8yaNCg8gm3Pn36ZIcddpivfaVyyfDhw5Mkq622Wjp06JDrrrsu6623XpZffvn07t07yy+/fNZee+2cc8458xR3AAvnkUceKS+vs846CxRjQY5RZs6cWb7K7RyVyidzTJo0KUcffXSS2fsoXbp0aTAusOAqkUsaU+TqK3PySFK5XPJFn3zySV544YUMGTIkgwYNKv99Tr4BmmbKlCl59dVX87vf/S5bbbVVZs6cmSQ55phjFiru0KFDc/fdd2fZZZfNueee26THVnqfBFg0vgz7+zvssENWX331JMkFF1ww3/c0SfLOO+/kyiuvTJJsscUW+frXvz7P+mrs30BztqhzyWGHHZYkefrpp3PvvffW2eb0009PMvuK+gcffPB86yuRSxrz8MMPlwu2d99993lyD1DMjTfemK997Wtp165dOnTokLXWWiuDBw9eoDsfNmT77bdP165d07p163Tt2jVbb711zjrrrEycOLHBxy2KXPKzn/0sPXv2TJs2bbLssstmww03zI9//OO88sorCzY54CtB4WUzM23atPLVCeq7Jd4cyy67bNq3b59kdjFjU7zzzjvl5cb66dGjR3n5i/0sSJxSqTTP4+aO01iMueM0dc7Q3FQrn8x90qy2tjYbbbRRLrjggkyaNKn89xkzZuSBBx7INttsk7PPPrvOOHO+EH3xxRfz4Ycf1tvf3FdtqOuX0l26dMk111yTdu3a5bHHHkv//v1z9dVXZ/jw4XnggQdy2mmnZauttsqMGTPyjW98o8lfeADVsdpqq6WmpiYtW7ZMt27dsu222+bWW29NMvu2EzfffHOdBeWVyCW1tbV56aWXkszOKUcffXT22WefPP/88/O0e+WVV3LCCSdkm222mSfnAQumtrY2Z511Vvn/3/ve9xYoTqWOdSq1bzLHiSeemLFjx2bzzTfPD3/4wwbHBSy4SuWShsx99ZWll1463/3ud+ts16lTp3Tv3j3J7B91NHRLrKK5JEmGDBmSmpqa1NTUpGPHjll33XVz2mmn5ZNPPknLli3zxz/+MVtssUVTpwXN1pVXXln+TLVv3z69e/fOcccdl3HjxiVJTj755PzgBz9Y4PgTJ04sF26eddZZWWGFFZr0+ErvkwCLxpdhf79169a57rrr0qVLl7z++uvZYIMN8uc//zmPPfZYHn744Zx77rnp169fJk6cmDXWWCOXX375fDHm/lHL3D92+aIPPvigfG4lkZegqEWdS37605+Wf8z+ne98J8cff3zuueeePPnkk7nhhhuy9dZb56abbiofV9T1g9ZK5JLGzP1Dt/3333/BJwzN2AsvvJAXX3wxU6dOzaeffprXXnstV199dbbZZpsMGjSo0R9QFHX//ffnww8/zOeff54PP/wwjzzySH7yk59kjTXWKN8xsS6LIpc8/vjjefvttzNjxoxMmjQpzzzzTM4///yss846GTJkSEqlUkXmDHy5KLxsZj755JPycpFf78wplPr0008XWT9z+qirn0rHWZRzhuamWvlk7tvnnX322Xn11VfzrW99KyNGjMi0adPywQcf5MILL0ynTp1SKpVy8skn17mjveuuuyaZfYvyn//853X29eqrr+aKK64o/3/uOX4x1siRI3PwwQfnmWeeyeDBg7Pppptm4MCBGTJkSNq1a5fzzz8/w4YNa/SWOMCSo1WrVvnVr36VZ555pt6rV1Uil3z88cepra1NkowePTq///3v07179/zlL3/JhAkTMmXKlDzyyCPlWxQ//vjjOeiggxZ6ftDcnXfeeRkxYkSS2Vcz6Nev3wLFqdQxSiX3TYYNG5ZLL700rVq1ykUXXZSampqGJwEssErlkoY8+uij5dtgDRo0KB06dKi37ZxcMn78+Hp/9PXoo4+Wr8if1J9LGrPtttvm+eefzxFHHLFAjwfm1bdv34wYMSJnnnnmQm27TzjhhIwbNy6bbrppDjnkkCY/vpL7JMCi8WXa399kk00yatSoHH/88Xn77bdz2GGHZYsttsiAAQNy/PHHZ8qUKTn99NPz5JNPZq211prv8VtssUWWXXbZJMkVV1wx350D5vjFL34xz52I5CVoXDVySfv27XPnnXfmsssuyyqrrJJzzz03O+20UzbeeON8//vfzyOPPJLdd989TzzxRA499NB64yxsLmnIlClT8re//S3J7B/UbrPNNgs1Z2hu2rVrl+9///u55JJLMmzYsIwaNSp///vf87Of/SzLL798kuTWW2/Nbrvtls8//3yB+1lvvfXyi1/8InfccUdGjhyZ4cOH56qrrsr222+fZPYVfPfYY4/cc8899caoVC7p3r17jjjiiFx//fX517/+lZEjR+aWW27JD3/4wyy11FKpra3Naaedlp/97GcLPF/gS6xEs/L222+XkpSSlPbbb79G2/fo0aOUpLTmmms2qZ9f/vKX5X4efPDBBts++OCD5bann376POu22Wab8rpZs2Y1GOcXv/hFue2wYcPmWdeiRYtSktKWW27Z6Ni33HLLUpJSy5YtG20LzVm18snpp59e7idJaeDAgaWZM2fO127YsGHlz/o666xTqq2tnWf9pEmTSiuvvHI5zr777lt69tlnS9OnTy+NHz++dPXVV5e6detWqqmpKS211FIN5oHp06eXfvKTn5RWWGGFecY297+NNtqodNtttzVprsBsb7zxRvmzNHjw4EXSx8svv1waPXp06dlnny394x//KJ1++umllVZaqdS6devSfvvtV/rkk0/qfFwlcsmYMWPmyRft2rUrvfTSS/P1NWXKlNIGG2xQbjd8+PBF8lxAc/Dwww+XWrVqVUpS6tq1a2ncuHELHOuggw4qfy5ff/31Bttedtll5bbXXHPNPOsqtW8yffr0Up8+fUpJSieccMJ860899dRyHw899NACzxuobC5pyCGHHFL+3N57770Ntv3Pf/5T6tChQylJqaampnTMMceUXnnlldKMGTNK77//fumPf/xjqUOHDqXWrVuXYzZ2TDZu3LjS6NGjS6NHjy4NHz68dMUVV5QGDBhQSlJaf/317ZNAE02cOLH8mRoxYkTp+uuvLw0aNKj8ebzjjjsWOPYjjzxSqqmpKbVq1ar07LPPzre+Z8+epSSlnj171hujkudLvqgax3bwVbc49/cHDx5cjv3GG28UekxtbW3pt7/9bWnVVVet97xpnz59Spdddlm9Mc4555xy2+7du5euvvrq0vjx40vTp08vPfvss6V99tmnlGSe/ZsvfrcEzKuaueSxxx4rDRgwoFRTU1NnDujQoUPp0EMPLU2aNKneGJXIJfW59tpryzFOPvnkhZkqNEsTJ06sd93YsWNLG264YfkzdsEFF1S8j1KpVLrooovKfay00kqlqVOn1tmuErnk008/Lc2YMaPe9f/6179KnTp1Kp+XeeaZZwrNEfjqUHjZzHzwwQfljchee+3VaPuuXbuWkpS+/vWvN6mf3/zmN+V+7rnnngbb3n333eW255xzzjzrdtppp/K6+jaYc5x44onltk899dQ869q1a1dKUvrmN7/Z6Ng33njjUpLSMsss02hbaM6qlU9++9vfzrMD/PTTT9fbds899yy3q+sLh6eeeqo8jvr+nXnmmeWCys6dO88X49NPP52nQPvEE08svfjii6Xp06eXPv7449Lf//730hZbbFHewT733HObNF9g8X05N2HChFL//v3LRQX1FV8ubC758MMP52n7v//7v/WO6c477yy3+/GPf1zR+UJz8fzzz5eWXXbZUpJS27ZtS4888shCxTv88MPLn8sXX3yxwbb/93//V2570003zbe+Evsmc74cWXXVVUuffvppvesVXsLCqXQuqc/UqVNLnTt3Ln95UNePzr7o7rvvLi2zzDL15pGWLVuWLr744vL/+/btu0Bj+9WvflWe/3333bdAMYD/uvrqq0s1NTWlFi1alK644oomP37atGmltddeu5SkdNxxx9XZpkjhZalUmX2Suii8hIW3OPf3m1p4OWvWrNJ3v/vd8mN++MMflp5++unS1KlTS59++mnp0UcfLe26667l9UcffXSdcWpra0sHH3xwgzlp9dVXL/385z8v///888+v6Nzhq6ZaueTGG28stWnTpnx+9ZZbbil99NFHpRkzZpRef/310q9//evS0ksvXUpmX0Dj3XffnS9GpXJJfXbYYYfC53WApnv99dfLP9jq1avXIuvnhz/8Yfmz/Je//GW+9Ys6l8ztmmuuKcc5+OCDF2JWwJeRW403M3PfnqrI7X4/++yzJMVuI7yg/czpo65+Kh1nUc4ZmpvFkU9WWGGFbLjhhvW23WGHHcrLTz755Hzr+/Xrl2eeeSZHHnnkfLcA79+/f+68886cfPLJ5VvTzLmtzdyGDBmSYcOGJUkuu+yynH322enTp09at26djh07ZuDAgXnooYcyYMCAlEqlnHDCCXn22WebNGdg8Vh22WVz1VVXJUmee+65/PrXv66z3cLmki/eLnTOrTHqsu2226ZVq1ZJ6s5rQMPeeOONbL/99pk4cWJatmyZoUOH5v/9v/+3UDErdYySLHw+eemll3LmmWcmSf7whz/Mc2tzoHIWRS6pz+23355JkyYlSfbZZ5+0bNmy0cfsuOOOefrpp7P//vunc+fO5b/X1NRkwIABGTZsWPlWwkndxzlF/OxnP8vGG2+cadOm5ZBDDsnMmTMXKA4w23777Zfvfve7qa2tzZFHHpkJEyY06fFnnHFGXn755fTo0SOnnXbaQo2lEudLgMr7su3vX3jhhbnxxhuTzD6Heumll2bDDTdM27Zt0759+2y++ea57bbbst9++yVJLrjggtxxxx3zxampqckll1ySG2+8MZttttk8+0OdOnXKEUcckaeffnqeYyx5CepXrVwybty4HHDAAZk+fXrWXXfdPP744/nOd76T5ZZbLksttVTWWGON/OQnP8kdd9yRmpqavPjiiznqqKPmi1OpXFKX999/Pw888ECS2fs4ffr0qdDsgTnWWGONDBw4MEny2muv5b333lsk/Rx66KHl5UceeWS+9Ysyl3zR97///XTs2LHesQBfba0W9wCorrZt22b55ZfPRx99lHfeeafBthMnTix/UdijR48m9bPKKquUlxvrZ8yYMeXlL/bzxThdunRpNE5NTc08j5sTZ9y4cY2OZe44TZ0zNDfVyidzt//iZ7uhth9++GGdbbp3754//OEP+cMf/pCxY8dm8uTJWXHFFdOpU6cks3PNtGnTkiTrrrvuPI8tlUq5/PLLkyS9e/fO4MGD6+yjVatWOf3007PFFluktrY2V155Zc4777xGZgosCdZZZ52stdZaefXVV3PTTTfVW3y5MLmkTZs2WWGFFcp5qqG82LZt23Tp0iVjx46tN68BdXvvvfey3Xbb5b333ktNTU0uv/zy7Lbbbgsd94vHKBtttFG9bRs61pljYfLJeeedlxkzZmSNNdbIlClTMnTo0PniP//88+Xlf/zjHxk7dmySZJdddlniv7iFJcGiyiX1ufrqq8vL+++/f+HHrbXWWrnqqqtSW1ub999/P1OmTMlKK61U/pw/+uij5bZfzCVNsdtuu2XEiBF5++23M2LEiGy22WYLHAuY/Zn661//ms8++yz33ntvfvCDHxR+7Nlnn50k2W677er9gnDOuZjPPvusvJ/QtWvXbLPNNvO1XZh9EmDR+LLt71966aVJZv9Y7eSTT6633a9//etcc801SZLLL788u+yyS53t9txzz+y5556ZMmVKxo4dm1atWmXllVcuF2K++uqr5bbyEtSvWrlk6NCh5X2Pn/70p/U+btttt822226bBx54ILfeemsmTpw4T/F0pXPJ3K699trMmjUrSdOOt4Cm+drXvpa77747SfLuu+9mpZVWWiR9zPHuu+/Ot35R5pIvatWqVXr37p2nnnqqzrEAX20KL5uhr33taxk2bFhee+21zJw5s3wVpS966aWXysvrrLNOk/uoK05T+/linL59+zYap0ePHvPtzH/ta1/LyJEj8/HHH2fs2LHp1q1bnTHef//9TJ48uc6xAPOrRj6Z+6TZnAPi+sy9vr6xzK1bt27z5YORI0eWlzfeeON51o0bN658BYqGrryZzL5axByN5UFgybLCCivk1VdfzVtvvVWofVNzSTI7tz388MNJiue2InkNmG38+PEZOHBg/vOf/ySZfUWHSp1QX5BjnVatWmWttdZqNHZT88n06dOTJP/5z3+y9957Nxr/9NNPLy+/8cYbCi+hEYsyl9Tlgw8+yH333Zck+cY3vpGvf/3rTY7RokWLrLzyyvP9vbF9k6JWWGGF8vJbb72l8BIW0hc/U00xY8aMJMkVV1yRK664osG248ePL+8rbLXVVnUWXs5tQY5xgMr7su3vv/jii0lmHzO1adOm3narrLJKVlxxxYwbN67QedN27dpljTXWmO/vc/JS27Zts/766y/gqOGrr1q5ZE4OSGYfzzSkX79+eeCBB1JbW5tXXnkl3/zmN+eLU+lckqRcXNW6detCzwWwYGpqahZ7H4sylyzIeICvLrcab4a22GKLJLN/6Tz3CbMvmvsyyJtvvnmT+lh99dXLv1xo7HLK//znP5MkK6+8clZbbbU6x9pYnLFjx+aVV16pd6xF4yzMnKE5qkY+6dmzZ1ZdddUkyZtvvplSqVRv29dff728XNeXjUXMuex8kuy1117zrJu76Kmx2+p9/vnndT4OWPLN+UViXbcFLqqhXJJkntuTzinmqMvkyZMzfvz4JAue16C5+fjjj7PDDjvkhRdeSJKcddZZOeKIIyoWv3///mndunWSho8tZsyYkeHDh5cfs9RSSy1Qf43lE2DRWNS5pC7XXXdd+Tij0gWec3LJ0ksvvUBXb5hj7is3LMy+EjDbl+kzZZ8EaMycc6CNnTdN/nvudEHPm7722mt55plnkiSDBg1a4OMtoHIq9f3JosolzzzzTJ577rkkyU477ZTll1++0ccAC2bOuZQki+Rql0X6qOZ+ycyZM8u1KotqvsCSS+FlM/Sd73ynvFzfr6Fra2vLt7fq3LlzBgwY0KQ+ampqyrfeeumll8pfOH7R8OHDy78c2G233eb7JUDv3r3LV8f761//milTptQZ58orrywvDxo0aL71u+66a1q0mP12b+gX4HPitGjRIrvuumu97YDZqpFPkmSPPfZIMrsA6cEHH6y33c0331xenrvguqgXXnghN9xwQ5LZt+rq3bv3POuXW265dOzYMUnyxBNPNLizPnchxuqrr97ksQCLx5NPPlm+0sx66623QDEayyXJf/Naktxyyy31xrrlllvKBedbbrnlAo0HmpMpU6Zk5513ztNPP50k+dnPfpaTTjqpon106NAh2267bZLkgQceyDvvvFNnu5tvvrl8Nf26jlGKaCyfXHnllSmVSg3+O/XUU8vtH3roofLfv/ijN+C/qpFL6jLnuGmppZZq0u2GG/P3v/89jz32WJJkn332SefOnRcoTm1tbf72t7+V/7+g+0rAf81dzNjUz1Rj+wClUik9e/ZMMvtHrXP+NufK+01R5BgHqLwv2/7+nHOgzz//fCZNmlRvu+eff758V6EFPW96yimnlJcX9Y9j4MuuWrlk7s/zsGHDGmw756I8NTU18/WxqHLJnOOtJBk8eHCj7YEF88Ybb+T+++9Pkqy55pqL7IISf/7zn8vLW2211Xzrq7lfcsMNN+Tjjz+udyzAV5vCy2Zo4403Ln9xf9lll+WJJ56Yr825555bvvzy0UcfPd+vBR9++OHU1NSkpqYmBxxwQJ39HHPMMWnZsmWS5KijjsrUqVPnWT916tQcddRRSWb/euCYY46pM87xxx+fJJkwYUJOPPHE+da//vrrOfPMM5MkvXr1qvNLzW7dumWfffZ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wYVK7du0konDJ7dIcd9xxmbpKWlq/aHLWo48+WmKMzz//PFPXSSedlOVeQtXIVT+eOHFipp6hQ4duabNLNWPGjEw9/fr1K7HMQQcdlDkRXL58eYllNm7cmOy8885JRCTNmjXbau2FtG2tZKZsfP/7388kIS1evLjEMrlISnz//fczr0GvXr22Wj2wtWyNfrx8+fJMzIMPPrjUctOnT8+UO+2004ptv/POO7NKMPrVr36VKffMM88U227Ch+3NM888k/nM/9d//Vel46SVlFiSiiYlZmPhwoWZuKeffnpqcaEq7LfffklE4e1f07KlSYkrVqxI2rRpk0RE8tBDDyXDhw8vNykxW4MHD87EGjt27BbFgupia/TjooYNG5bpN1vyo95Nt4TNy8tLPv300xLLmKOmpvvss8+Shg0bZs4Zi34P3trnkKNHj87U9ac//anY9k0/+GvQoEGybNmyUuNsulV0y5Ytkw0bNhTbbo6amiYXyUxpXC/ORjbXmcpjjpptUS76cVrXiyUlQs1VfH1itltPPvlk5vGgQYNKLFOrVq0455xzIqLw1hObbvWWrZUrV8bLL78cERHHHHNMtGnTpsRy/fv3j8aNG0dExNixY4ttf/rpp2PDhg1ltjUi4txzz42IiA0bNsTTTz9dbPumfW7cuHH079+/xBht2rSJ3r17R0TEP/7xj1i5cmWp9UFVy0U/joj405/+FBERDRs2jMGDB1f4+dnq1KlTNG/ePCKi1NtgrVu3LiIimjVrlhk3visvLy/23HPPiCi8vRVQvp49e0ZE4e115syZU2XtePjhhzOP3RYDCm069kVE5vhWkr322ivzuKTjX1pxYHuz6RgZUfp31Jqo6O181qxZU4UtgS236fNcnT7LV111VcybNy969uyZOWdPS69evTKPt6dxi5pta/fjTeeieXl5MWDAgErF+Oijj2LKlCkREdGjR49o165dieXMUVPT/fznP4+VK1fGwIEDN/sunQtlfYddvXp1zJw5MyIiDj/88GjSpEmpcY4//viIiFi0aFFMnDix2HZz1FAxaV0vzkY215nKY44aSpar68XAtktSIhmbTqQaNGgQhxxySKnlevTokXk8adKkCtUxderUzMlW0TjfVadOnTjssMMyz1m/fn2JbS0vTlltXbduXUydOjUiCk8469SpU26ctWvXxrRp00otB1UtF/143bp18dRTT0VExAknnBANGzaMiIiCgoKYO3dufPbZZ5slOWypTbFq1Sr5kNWhQ4eIiPj6669jxYoVpcb55JNPNisPlK3o5Ghp/W9rS5IkHnnkkYgoHNdOO+20KmkHVDfNmzePnXfeOSL+3/GtJEUnWks6/hX9vy2JA9ubot91q+oYWRUeffTRzOP99tuvClsCW2bWrFnxzjvvRET1+Sy/8cYbcc8990SdOnXinnvuST1+dfhuD2na2v149uzZ8frrr0dERPfu3WOPPfaoVJyiCQylJRubo6ame/zxx+PZZ5+NnXfeOW6++eac11/Wd9ilS5dmHrds2bLMOEW3T5gwodh2c9RQMWldL85WedeZymKOGkqW6+vFwLbJLBQZs2bNioiIvffeO/Lz80stV/TEbdNzKlrHd+OUVU9BQUF89NFHJcZp0qRJ7LrrrqXGaNWqVeYXNN9t60cffRQFBQUVaktJcaA6yUU/nj59euZXpYcffngsXLgwBg0aFE2bNo327dtHu3btokmTJnHiiSdmJnAr6+23385M4pTWTy+88MKIKDwxvOGGG0os8+c//zmWLFmyWXmgbJsmWPPz82Pvvfcus+w///nPOOCAA6JBgwax4447xh577BFnnnlmPPnkk5EkSaXb8Oqrr8bcuXMjovBXsZtOaoGICy64ICIi/vWvf8W4ceNKLHPddddFRETt2rXj/PPPL7b9uOOOi/bt20dExJ133hnffvttsTLz5s2LESNGREThcb9z585ltuvqq6+ONm3aRJ06dWKnnXaKgw46KH71q1/Fhx9+mO2uQbVX9CJkWokQxxxzTDRr1izq1KkTLVq0iJ49e8aNN9642YXSqrB06dJ4++2347LLLotf/OIXEVF4Ueiiiy6q0nZBRa1atSo++uijuO2226JXr16Zu2/88pe/rOKWRaxfvz5++tOfxsaNG+OKK67YKglWW2PcglzLZT9OYzWkJEniL3/5S0RE7LjjjnH66aeXWM4cNTXZsmXLMn30pptuil122WWr17lx48ZYtGhRvPLKK3HqqafGqFGjIiJi3333jeOOO26zskVXUVy+fHmZcYtu//e//11suzlqaqonnngi9t1336hfv340atQo9tlnnxg4cGCMHz9+i+Kmdb04G9lcZyqLOWq2dVurH2+N68VpXWsyRw3VSBXeOppqZPXq1UlEJBGR9OnTp9zyDRo0SCIiOeywwypUz3//939n6pk2bVqZZW+++eZM2eeff36zbS1btkwiItl///3LrXP//fdPIiLZddddN/v/cePGZeLffPPNZcaYNm1apuyvf/3rcuuEqpCrfjxixIhMPTfccEPSvHnzzL+/+1erVq3k9ttvr+QeJcnpp5+eifXEE0+UWq7o2NK/f//kr3/9azJt2rTk6aefTv7zP/8zqVWrVhIRydlnn50UFBRUuj2Qa3PmzMl8tgcOHJizep999tmsxpN27dqV2v83/R155JHJvHnzKtWOc889NxPnH//4R2V3B6rU1urH33zzTdK7d+8kIpK6desmgwcPTv7+978nU6dOTUaPHp306NEjiYikdu3ayZ///OdS47z22mvJzjvvnEREstdeeyXDhg1LJk2alIwfPz655ZZbkhYtWiQRkbRv3z55//33S4wxfvz4cseCWrVqJUOGDEk2btyY2msAVWHDhg1Jt27dsj6vLcuQIUPK7TtNmzZNnnzyyQrH3vT8Hj16VPi5AwcOLLU99evXTx5//PEKx4SqMHz48DL71+WXX57qcalo35kzZ07Wz7v++uuTiEj23HPPZNWqVSW2f/jw4ZVu14IFC5JGjRolEZE0b958szqgust1P95kzz33zBz3li9fXqkYr776aqadZ599dqnlzFFTk/30pz9NIiI54ogjNuurRb8Hjx8/PpW6ypqjateuXTJz5swSn9eqVavMMXLt2rWlxu/bt28m3uGHH15iGXPU1CTlnatGRHLKKacky5Ytq1T8tK4XZyPb60ylMUfNtmpr9+M0rxenca3JHDVUT6Uvo8V25Ztvvsk8zuYXHg0aNIhvv/02Vq5cudXqKforte/WsylOtm0tK8aWtgWqi1z1402/5oyIuPbaa2Pt2rVx0kknxdChQ6NTp06xfPny+Otf/xq//vWvY8WKFXHZZZfFvvvuGyeccEKF6vnrX/8aY8aMiYiIQw45pMwl8W+88cb4wQ9+EH/4wx9i7NixMXbs2M22H3TQQfHrX/86fvjDH1aoDbA9WrJkSWYlpNq1a2dWWitJnTp1ol+/fnHsscdGp06dokmTJrFs2bKYPHly3HPPPfH555/Ha6+9Fsccc0xMnjw5mjRpknU7Vq1aFX/9618jIqJNmzbxgx/8YMt2DGqYhg0bxrhx42LEiBFx4403xq233hq33nrrZmX69+8fV155ZRx66KGlxjniiCPi7bffjrvuuivuuuuuYqufNWzYMK699tr4+c9/Hs2bNy81TqtWraJ///5x1FFHxZ577hn5+fnx2WefxTPPPBMjR46M9evXx7XXXhvr1q0rddUI2BbcfvvtmVssnnrqqfH9739/i+J17tw5TjnllOjWrVu0bt061q9fHx988EE88sgj8eKLL8ayZcvitNNOi2eeeabC36fTduaZZ8ZNN90U7dq1q9J2wJbq0qVLDBs2rMzjY658/PHHme/bf/7zn6N+/fqpxk+SJC666KLMfMFvf/vb1OuAqrA1+/HEiRMzt1c99dRTM3fhqahsV1s0R01NNWnSpLj//vsjPz8/hg0bFnl5eTlvQ35+flxzzTXxy1/+stS+fPLJJ8ewYcNi8eLFceutt8ZVV11VrMykSZPiueeey/y7aL8tyhw1NcmOO+4Y/fr1i6OPPjr222+/aNiwYXz11VcxYcKEGDZsWHz99dfx5JNPxsknnxz/+Mc/YocddqhQ/Fwd/ypynakk5qjZlm3tfpzm9eK0rjWZo4ZqqKqzIqkePvvss0yG+IABA8ot37Zt28xqKhXxn//5n5l6Zs+eXWbZBx54IFN25MiRm23b9Iuy7t27l1tn9+7dk4jCVWKKevjhhzPxH3jggTJjzJ49O1P2vPPOK7dOqAq56sfXXXfdZr8q6du3b7Jhw4Zi5SZOnJjpq506darQr05mzZqVWcmhfv36yXvvvVdm+QULFiRnn312Uq9evRJ/+ZKfn5/069cvmTVrVoX2FaparldKLCgoSI4//vhMnUOGDCmz/NKlS0vdtmLFiuTYY4/NxPrVr35VobY88sgjVoCgRtia/Xjy5MnJD37wgyQvL6/E41/jxo2Tn/3sZ2Wu7rJx48bk1ltvLfPXqB07dkxGjBhRaoyVK1cm69atK3X7G2+8kTRp0iSJiCQvLy95++23t2S3ocq8+uqrSX5+fhIRSYsWLZKFCxduUbyyjqNJkiTDhg3L9MPWrVtXaHWzTc+rzEqJ8+bNS2bMmJHMmDEjee2115J77rknOfjgg5OISI466qjkww8/rHBMqApLly7NfJanTp2aPProo8mpp56aOQ9+5plnUq2vMislHn300UlEJGeccUaxbWmslPj73/8+E6NXr14lnrtDdZbrfpwk/29lt6jkakxJUng3k8aNGycRkey2225l9j1z1NREa9euTTp27JhERHLFFVcU2741Vkr84IMPkhkzZiTTp09PXnnlleS6665LWrdundSpUycZMGBA8s0335T4vE8//TTTX/Py8pJLL700+fDDD5N169YlX3zxRfKnP/0padSoUZKXl5c5FyhtPt0cNTVJWeerCxcuTA466KDMZ/vOO++scPy0rheXpaLXmUpijppt2dbux2leL07jWpM5aqieapWXtMj2oV69epnH69atK7f82rVrIyIq/OvqitSzqY6S6tkUZ0vamlZboLqoin4cEXHzzTdHrVrFDydHHXVU9O/fPyIiZs6cGTNnzswq/oIFC+KEE06Ib775JvLy8uKBBx6I733ve6WWnzVrVnTr1i0eeeSRaNCgQdx9993x+eefx7p162LhwoXx8MMPR+vWrePpp5+Oww8/PCZOnFiBvYXty89//vN4/vnnIyKiT58+8dvf/rbM8k2bNi11W6NGjeLxxx+PZs2aRUTEfffdl9XYtEnRVSXOOeecrJ8H24sxY8ZEz54945VXXonOnTvH3/72t/j6669j3bp1MXv27Ljhhhti/fr1cc8998QRRxwRCxcuLBZj48aNceaZZ8bgwYNj7ty5cd5558W//vWvWL16daxcuTImTZoU/fr1i1mzZsW5554bgwcPLrEtDRo0KPOXtN26dYs///nPEVG4YtOmx7Atee+99+LUU0+NgoKCqFu3bjz++OPRsmXLLYpZ1nE0IuLCCy+M888/PyIKvyN/d6WVrWW33XaLTp06RadOneKII46Iiy66KKZOnRoXXnhhTJo0KQ499NCYPn16TtoCW6Jp06aZz3LXrl3jRz/6UYwdOzYefvjh+OSTT+Lkk0+OESNGVFn7RowYES+//HI0btw47rjjjtTjP/LII5nv8+3bt49Ro0aVeO4O1Vmu+/HatWvjiSeeiIiI1q1bR+/evSsV58knn4wVK1ZERMRPfvKTMvueOWpqohtuuCFmzZoVu+++ewwZMiQndXbo0CE6deoUBxxwQPTq1Sv+53/+J2bOnBkHHnhgjBw5Mo488sgSVzhs165dPPHEE9GoUaNIkiTuuOOO6NChQ9SpUydatWoVF198cXzzzTdx4403Zvpro0aNisUxR01NU9b5asuWLWPMmDFRp06diIj43//93wrH39rHv4peZyqNOWq2ZbnsxxFbdr04jWtN5qihejITRURsfhKVzdLX3377bURkd4vYytazqY6S6tkUZ0vamlZboLqoin68xx57xL777ltq2eOOOy7zeNq0aeXGXrJkSRx77LHx6aefRkTEnXfeGWeddVaZzxkwYEDMmzcvdtxxx5g4cWL87Gc/izZt2sQOO+wQLVu2jAEDBsTkyZOjZcuWsWzZsjjrrLM2O4kFCl111VVx3333RUThSeITTzwRtWvX3qKYTZo0iR/96EcRUTjmvPnmm1k974svvoiXXnopIiK6du0aHTt23KJ2QE2zaNGiOPfcc2Pt2rWx//77x+uvvx6nnHJK7LzzzrHDDjvEnnvuGVdddVU888wzkZeXF++9915ccsklxeLcfffdmYuuQ4cOjfvvvz8OOuigqFevXjRo0CCOPPLIeOqpp2LAgAEREXHbbbdtdsuqijjzzDMzt9WYMGFCJfccqsacOXPi2GOPjaVLl0bt2rXj0UcfjR49euSk7gsvvDDzuCr7Tu3ateOuu+6Ktm3bxtKlS+NnP/tZlbUFttSAAQPijDPOiI0bN8bFF18cS5cuzXkbvvrqq7j88ssjIuK6666L1q1bpxr/ueeei0GDBkWSJNGyZcv4xz/+EbvuumuqdUBV2lr9+Kmnnoply5ZFRMTZZ59d6XPiiiQwmKOmpnn//ffjD3/4Q0QUJjgUve1qru20007x0EMPRUTEu+++m2nXdx177LHxzjvvxHnnnZdJeNjksMMOi7///e/xi1/8ItNHd9ppp2IxzFGzvdlzzz3jmGOOiYiIjz/+OBYsWFCh52/N419lrjOVxBw1NV2a/Tjt68XfVdlrTd9ljhpyT1IiEVGYyd68efOIiJg3b16ZZZcuXZr5Ati2bdsK1dOmTZvM4/Lq+fzzzzOPv1vPpjjlxSgap7QYW9oWqC5y1Y+Lli/aj8or++WXX5ZZ9ptvvonjjz8+3nvvvYgovDBTUgJFUdOnT4+33norIgoni0s7KWzdunUm1vz58zMrwQGFbrrpprjxxhsjIuLggw+OZ599NrVVF4r+AnX+/PlZPeeRRx6JDRs2RIRfoEJJRo8enTmOX3311aVe5Dn66KPj6KOPjoiIsWPHFrtY+8ADD0RE4QTSr3/961Lru+GGGzKP77///kq1OT8/Pzp06BAR2Y8FUB0sWLAgevfuHQsWLIi8vLx48MEH49RTT81Z/ZU5jm4tderUieOPPz4iIiZPnlzhyWqoTk4++eSIKLyYMW7cuJzXf//998fXX38dTZs2jWbNmsXo0aOL/b3xxhuZ8m+88Ubm/8s7t3711Vfj9NNPj/Xr18dOO+0UL774Yuy9995be5cg57ZGP05jNaRFixbFiy++GBERhxxySLmrMpmjpqa5/fbbY926dbHnnnvGqlWrSjzGFV0h6ZVXXsn8f9HEo7R07Ngx9tlnn4govONAafbcc8+4//7746uvvooFCxbEBx98EMuXL4/JkyfHCSecsNlK4d/t1+ao2V5tyfnq1jr+VeY6U2nMUbM92JJ+vLWuF5cmjTkyc9SQe/lV3QCqj44dO8bEiRPj448/joKCgsjPL/nj8f7772/2nIooerAoGqesevLz84tNnn7ve9+Lt956K5YvXx4LFy4s9dfeX3zxReZWGd9ta4cOHaJ27dqxYcOGrNtSUhyoTnLRj/fff//M400nZKUpur20tkRErF69Ovr27Zv5dcwVV1wR//M//1NuW2bNmpV5fPDBB5dZ9pBDDsk8fv/99zOT17C9u/vuuzPJSB07dowXXngh80uxNCRJUuHnjBw5MiIidthhh0r9ihVquooe/1566aXYuHFjfPjhh3HooYcWi/O9730v6tatW2qMNm3aRMuWLWPRokXlfm8uS2XGA6hKixcvjmOOOSY++eSTiChc6SXXFyKqW7/ZZZddMo/nzp2b+upukCvf/Szn2qaVkZYtWxY/+clPyi0/bNiwGDZsWEREjB8/Plq0aFFiualTp0bfvn1jzZo10bBhwxg3blwccMAB6TUcqpG0+/GXX34ZL7zwQkQUfsfu1KlTpeIUTWAYOHBgueXNUVPTbDrGffLJJ1nN6Vx33XWZx3PmzNkqKyvusssu8dFHH2U1VuTl5UWrVq2iVatWm/3/pEmTMo+LnldHmKNm+7Ul56tpXS8uqrLXmUpjjprtwZb0461xvbgsac2RVbe5NqjprJRIxlFHHRURhb8u3fSrrpIUXcr2yCOPrFAdXbt2jTp16hSL813r1q2LKVOmFHvOd9taXpyy2lqnTp3o1q1bRBSu8rBu3bpy49StWze+//3vl1oOqlou+nG7du1i9913j4iI2bNnl1m26PbddtutxDLr16+P0047LdOmiy66KP74xz9m1ZaiX1wLCgrKLLt+/foSnwfbs5EjR8bFF18cEYW/CH/ppZcyK66m5d///nfmcTaJC++88068++67ERHRp0+fYrfNAdI7/m36d3kxisap7DG0oKAgPvzww4jIbiyAqrZ8+fI47rjjMsexG2+8MX7xi1/kvB0VPY5ubUV/Re62kWzLauJn+d13343jjz8+Vq5cGfXq1YtnnnmmWNIE1CRp9+NRo0ZlvhdvyY8QNq22mG0Cgzlq2Po2jRdbMlaMGjUqIiLq168fffv23WybOWq2V1tyvprW9eJNtuQ6U0nMUbO92JJ+nPb14vKkMUdmjhpyT1IiGaecckrm8fDhw0sss3HjxszEStOmTaNXr14VqqNRo0aZW8i99NJLpS7JPXbs2MwKhyXdGqtfv35Rq1atMtsaETFixIiIiKhVq1b069ev2PZN+7xixYoYO3ZsiTHmzZsXL730UkQU3gKvUaNGpdYHVS0X/Tgi4rTTTouIwlvSvP7666WWK9qvunfvXmz7hg0b4sc//nHmNjsDBgyIu+++O+t27LHHHpnHEydOLLNs0RPbos+D7dXYsWNj0KBBkSRJtGnTJl5++eXUT8KWL18ejz32WERE7LjjjlldNCl6u6xsVpWA7VFFjn///Oc/I6JwtYf27duXGGfmzJmxbNmyUmPMnDkzlixZUqzuihg9enTm+32PHj0qFQNyZdWqVdGnT5/417/+FRERv/nNb+K///u/q6Qt9957b+ZxVfedorfHrF+/fuy1115V2h7YEk888UTmcefOnXNe/9ChQyNJkjL/ip7TDx8+PPP/PXv2LBbvww8/jGOPPTaWLl0aO+ywQ/z1r38tsRzUJGn3403novn5+fHjH/+4UjFmzJiRucXriSeemPWP/sxRU5OMGDGi3GPckCFDMuXHjx+f+f/vnrOmYdq0aZkVEis7VjzxxBOZvv3jH/84mjZtutl2c9Rsjz755JP4xz/+ERGFP3avaJJRWteLI7b8OlNJzFGzPdjSfhyR3vXi8lTmWlNJzFFDFUigiO7duycRkeTn5yevv/56se1//OMfk4hIIiIZMmRIse3Dhw8vc3uSJMnLL7+cKdOvX7+koKBgs+1fffVVsvvuuycRkTRt2jRZsmRJiXEGDBiQifPEE08U2/74449ntg8cOLDEGF9//XXSpEmTJCKSdu3aJYsXL95se0FBQdK3b99MnFdeeaXEOFCd5KIfz507N6lXr14SEckhhxySrFy5sliZkSNHZuL06dOn2PaNGzcmgwYNypQ57bTTio0H5dmwYUOy2267JRGR1K5dO3nppZdKLPfWW28lDRo0SCIi2XHHHZOlS5dWqB6oKnPmzCn3WPZd2fThF154IalTp04SEUmLFi2S999/v8JtGzduXLJq1apSt69YsSI59thjM2255JJLyo1ZUFCQ7LrrrklEJM2aNUvWrVtX4XZBdbM1+vGsWbOSvLy8JCKS3XbbLZk3b16Jce69995MnMMPP7zY9quuuiqzfdCgQcnGjRuLlVm9enXSq1evTLl77713s+1LlixJxo8fX+b+vPHGG0nTpk2TiEjy8vKSadOmlVkeqtLatWs3O3798pe/rFSc8vrxu+++m3z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" ] @@ -959,7 +959,7 @@ }, { "data": { - "image/png": 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" ] @@ -1004,7 +1004,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "id": "22a07150", "metadata": { "scrolled": true @@ -1014,123 +1014,31 @@ "name": "stdout", "output_type": "stream", "text": [ - "mu= 0.1\n", - "Optimization terminated successfully.\n", - " Current function value: 0.471416\n", - " Iterations: 39\n", - " Function evaluations: 68\n", - "mu= 0.2\n", - "Optimization terminated successfully.\n", - " Current function value: 0.484605\n", - " Iterations: 32\n", - " Function evaluations: 57\n", - "mu= 1\n", - "Optimization terminated successfully.\n", - " Current function value: 0.503947\n", - " Iterations: 69\n", - " Function evaluations: 122\n", - "mu= 10\n", - "Optimization terminated successfully.\n", - " Current function value: 0.501083\n", - " Iterations: 50\n", - " Function evaluations: 89\n" + "mu= 0.1\n" ] }, { - "data": { - "image/png": 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\u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"mu=\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mmu\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mE\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mEcost\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mEexco\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mjob\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mji\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mqaoa\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgetElandscape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mbackend\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mmu\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0mout\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mjob_b\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxb\u001b[0m \u001b[0;34m=\u001b[0m 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coupling_map, backend_properties, initial_layout, seed_transpiler, optimization_level, pass_manager, qobj_id, qobj_header, shots, memory, max_credits, seed_simulator, default_qubit_los, default_meas_los, qubit_lo_range, meas_lo_range, schedule_los, meas_level, meas_return, memory_slots, memory_slot_size, rep_time, rep_delay, parameter_binds, schedule_circuit, inst_map, meas_map, scheduling_method, init_qubits, **run_config)\u001b[0m\n\u001b[1;32m 292\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 293\u001b[0m \u001b[0;31m# transpiling the circuits using given transpile options\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 294\u001b[0;31m experiments = transpile(\n\u001b[0m\u001b[1;32m 295\u001b[0m \u001b[0mexperiments\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 296\u001b[0m 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set\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 165\u001b[0m \u001b[0mstart_time\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtime\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 166\u001b[0;31m \u001b[0mnew_dag\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpass_\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdag\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 167\u001b[0m \u001b[0mend_time\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtime\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 168\u001b[0m \u001b[0mrun_time\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mend_time\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mstart_time\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.local/lib/python3.9/site-packages/qiskit/transpiler/passes/basis/basis_translator.py\u001b[0m in \u001b[0;36mrun\u001b[0;34m(self, dag)\u001b[0m\n\u001b[1;32m 118\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 119\u001b[0m \u001b[0mcompose_start_time\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtime\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtime\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 120\u001b[0;31m \u001b[0minstr_map\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_compose_transforms\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mbasis_transforms\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msource_basis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdag\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 121\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 122\u001b[0m \u001b[0mcompose_end_time\u001b[0m \u001b[0;34m=\u001b[0m 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"output_type": "stream", - "text": [ - "Optimization terminated successfully.\n", - " Current function value: 0.549216\n", - " Iterations: 11\n", - " Function evaluations: 23\n" - ] - }, - { - "data": { - "text/plain": [ - "(0.0, 1.0)" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "qaoa=QAOAChoose(CR, FR)\n", "\n", @@ -1235,43 +1110,10 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "5ad02c62", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimization terminated successfully.\n", - " Current function value: 0.000001\n", - " Iterations: 15\n", - " Function evaluations: 30\n" - ] - }, - { - "data": { - "text/plain": [ - "(0.0, 1.0)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
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o1kfyPI+pqSlEIhFcuHBBzLjXs88rh8zlqEIrbyAQgNfrFVt5BUUlq9W6Y5i3Hm12vfpInueL+sfcwEFQHVSr1aKq0u3EbR8oVNpqlEs1RpAQgoWFBWxubuL8+fM7ehWVVlTaDQrpUwtzGalUCjabLUtRot4+nPVqnIHiBppqVFMoFCnkSoNXc+irxo/FYjGMjIygubkZR48ezbJHuxUoKP2ahZajbm5uYmZmRlyO6nQ6aybDWi716iM5jivqH/PJld/Oe45u60Ch0l7LfFQaKKRSKYyOjsJoNIqtRrnsl4xJMQR9aqvVip6eHvA8j0AgAJ/Ph+XlZUQiESwuLqKxsRF2u70uDGO9ZkuA7IpCKUpJzTEMg+9+97t45JFHaibNS6FQdhe5dyNU6iOFGbfjx4+LSaNMdsM/7sbBMN9yVK/Xi5WVFQQCAfA8j5WVFUmtvLWiXn1kuf6xVOCwsbGB8fFx/MZv/Ibs91oP3JaBQrW9lvmopP9SaDU6dOgQWlpaCj7udggUclGpVFnVhGvXrsFqtcLr9WJubi5Lv9pqte6KMarXbAlQnYHOFzh85StfwSOPPCLT3VEolHpGid0I5fpInucxPT2NcDic1WqUS7n+sZ7tdjno9XqxlTccDmN2dhYAxFbehoYGUYp1NxM89fizrtY/5gYOs7OzeOqpp2igsF+Qo9cyH+WUVQkh4gr4c+fOwWQylbz27RYo5MPlcqGtrQ1Aeujb5/PB7XZjamoKer1eDBwaGhpqYpzqNVsCyHtvDMOAZdkdcyMUCmV/Ice8XiHKqSjE43EMDw+jsbER58+fL7nDqBz/uJuqR0qi1WrR2dkptvKGw2F4vV5MTEwgmUxmtfIqsbV6L1FORaEUDMOIgdl+5bYJFOTstcyHVCOYSqUwNjYGvV6PoaEhSfdRj0ap1uRmgXQ6HVpaWsRKjKBPvbS0hHA4LOpTOxwOGI1GRQKHes9MyXlvt/v7j0LZ78g1r1cIqcm0ra0tTE1N4dixY2J/fqnr3u72Kff7Z5hby1GFVt5gMCi2KvE8n7UctR5aeWuJ3Em+SCRCA4W9jtBrefXqVZw5c0aRw52UQCEQCGBsbAwHDx4UF7BIgRrC0hTSp56ZmUE8HhcVlRwOh2yZcZ7n63b7tJzvF/reo1D2NxzHYXV1FSzLor29fVd8JM/zmJmZQTAYxODgoGQ7vR/FPiqhVNVFWI4KpOczBUWl+fn5rFbf3WrlrSVyVhQAiMvz9iv1ecqRkcxey2g0qlgGuFj5kxCCpaUlrK2t4ezZs2W/ofbqHgU5KSd7X0ifWlBUYlk2qwxb6WG/3isKcqJEhpFCoewuma1GLMsimUzuio+Mx+MYGRmBy+XCwMDAruwwKod6S96V64s0Gk3WctRkMgm/37+rrby1RImKgtVqle169ca+DRSU7LXMR6GsRiqVwvXr16HVajE0NFRRFFtvRmk3qOb7z9Sn7u3tFfWpfT4fFhcXRX1qh8MBm80m+XdUzzMKcsKy7G1XmqZQ9ju583oajQaxWEyx1ytUUdje3sbk5CT6+/vFg2s5UP9YPTqdbsdyVK/XK7bymkwmcTBaqVbeWqJERaGjo0O269Ub+zJQULrXMh/5jGAwGMTY2Bj6+vrEIdxKkFpaFYIShmHED/V+WAMvINfvsZA+9fb2NmZnZ7P0qS0WS8HXrcetk4D8lY79XlalUG4ncuf1BB8px9LQYuT6MUIIZmZm4Pf7y2o1ynddqYHC5uYmFhYWxMVlFotlXyR75Lb5BoMB7e3tYitvNBqF1+sVW3kzFZX2osiF3G3DwlzkfmXfBQpCFaGQrJtS7SKZZVVCCJaXl7G6uoozZ85U/QaSYgiF+Ye+vj5oNBr4fD6srq6KQ0tOp7OsbHm9oWSbTz59auHnFwqFYDAYxMAhU5+aEFKXTkbuSsd+N4IUyu1Csd0IKpUKHMcp9tqZgUgikcDIyAjsdjsGBwersu1SnksIwfT0NILBII4cOYJwOIy1tTXRvguJo72cLVfqvjOXowqtvIKiUm4rr91u3xOKSnJXFKjq0R5BSquRYKiUOCwLh3mWZTE2NgaNRlNxq1GhaxdiZWUFy8vLOHv2LAwGA1iWhd1uR19fH1iWzcqWa7Va8dC7H3sP5UCv16O1tRWtra0ghIiKSvPz86K6gcPhULSftxrkDhT2uxGkUG4HSu1GUKvVilYUhGSax+PBxMQEjh49isbGRsVeT0AIShwOB86fP49UKgWz2YyWlhbRvmdmyy0WS8mKfL21O9XyXlQqlbgcNbeVd2lpCYQQMWiop59RJtRHlse+CBSk7kZQq9WyR5KZcByHV155Bb29vWhvb5ftuoWMEsdxuHHjBnieF4MSlmWzHqPRaNDY2Cga5Hg8niUjKhx6nU5nXW/d3a3BYYZhYDKZYDKZ0NHRIepT+3w++Hw++P1+ceirXlq95H6P04oChbJ3yWw1KjavV4vWI7fbDY7jMDAwUBN/Iyw1PXLkCJqamvLKiAr2vbOzUxS+8Hq9e6oiv5vCGrmtvCzLwufzYXt7G9FoFFevXhX9Y720elEfWR57OlAodzeCUoaQEIKVlRXEYjG85jWvkT2yzBcoRKNRDA8Po6OjA11dXZKNhMFgELc5Zh56haUswlBvvWYCdptMfepoNCrK3AqtShzHZelT74Z8Km09olAoQHnzekIiTQkSiQSWlpZgNBoxMDCg+GFRUBpcX1/H+fPnYTQaJT0vU/giX0Veo9HA6XRSJcIiaDQaNDU1weFwIBKJ4MSJE/B6vVmtXkLgYDabdyXAkbuzJBKJwGKxyHa9emPPBgrFei0LoYQhZFkW4+PjYh+fEuWn3EBhc3MT09PTOHnyJGw2W1XXFQ693d3dWSXEaDSKy5cvi9WGetBWrrc2H0II1Go1LBaL2OrFcRz8fj98Ph8WFhbAMIxoFG02W01+hkooOuznsiqFsh8p1WqUi1KJNK/Xixs3bqCpqQkGg0FxG8iyLK5fvy62/1bzerkV+UQiAa/Xi/X1dUQiEcRiMTGbvpsV+XqU6hbuSafTia28AMRWr4WFhaxWXkFRqRZwHEcXrpXBngwUyjWAAnIbwlAohNHRUfT09KCjowMvvPCCbNfORMheCCoRgUAAFy5cKNjmUqnRyCwher1enD59Gj6fT9RWFoa+HA5H1lDv7Uq+zL1arc7Sp06lUvD5fGJwp9PpFJ8Rof2XFMrtS6XS4HLPKBBCMDc3B4/Hg4GBAfh8PsTjcdmun49wOIzR0VF0d3crIlep1+vR1tYGnU4Hn8+H1tZWeL1esSJvs9lEH1nLanI9BgqF/JDRaERHR4fYyhuJROD1ejE1NYVEIgGr1ap4Ky/1keWxpwKFancjyBkorKysYGlpCadPn1b8DcIwDFKpFC5fvgybzZa1kIZleWg0ymRotFqtqK2cOfQ1NzeHWCwmbjt2Op110Ztfa6QY58yfIbBzRsRkMok/Q7kUN+jWSQrl9kTqvF4+5FQ9SiaTGBkZgcViweDgIFQqleIblN1uN+bm5nDy5MmaLL/KXOzZ3d0NnufFbcfCfp56qsjXGin+Md/PMHNGRKlWXrl9ZCqV2tdnoD0TKMixG0GO1iOh1QgAhoaGapI1iMfjcLvdOHHihCjhCQB/91QcP3/VA7ABdDcT3HvWgbvPuqBEXqHY0NfY2Jg49CV8oOt16EtOKslK5M6IRKNR+Hw+zMzM7Ai+KtWnVmJGweFwyHY9CoUiL4V2I5SDXIk0odVIGCCW+/q58DyPeDyOtbU1XLhwoSbynPnmBlUqlZgJB25VkzMr8vlktuVgL1UUipE7I6JUK6+Sojb7kT0RKAgGsNxWo1yqNVRCWbOrqwudnZ0VX0cqwj6GjY0NdHV1iUY3niT482+FsbgeBqAC1A4seICFnwHf+Ok6TJoQjnSp8cBQI44fsCtyb4WGvoSKgzD0tZ9lWKs1zpn61J2dnSCEIBQKwefz4caNG0ilUrBarXA6nWXpUyuhEd3d3S3b9SgUinzkVtqr8Y/VDOgSQjA/P4+tra28A8RKBArxeBwjIyNgGAbnzp2rKz+TW00WkkJzc3OIRqOiDOt+rcjLEbyUauXVarViq1ex5ai5yJlMq/Zcuheo60Ch2lajXKqpKKyurmJxcRGnTp0qOt0uV2QvVC5UKhV6e3vFa867OXzq237E4sm8z1Np9IhDj5FlYGSZA59ahKshhjOHjPiV17Sg0a7MwFWhoS+hxcZsNmetgN8PyJ25ZxhG1Kfu6ekRS9mZ+tRSpPqUGNSirUcUSv1RTauRnCSTSYyOjqKhoQEXLlwousdILoTKRX9/PyYnJ+v+oJYrs51ZkRdabISkULmJnv1SUShFbvAlnDNWVlYQCoXEVl4pc5T19vOqZ+o2UFDCAFZiqDiOw/j4uLiroFirkVwL3SKRCEZGRsTKxcrKCjiOw09fTeLvn/aV9T2otA3wJRrwzHXg38ZCUHEr6GzkcNdJK1472AydVpnymzD0JbTY5A4sCUNfe2WTYz6UNs65pWyhauPxeDA7Owu1Wi2WsjP1qZWQftvPg1oUyl5D6m6EWuDz+TA+Po7Dhw+LB7h8yLWkjBCChYUFbG5uVrSPoR4OiJlJIWFpWW5FPtO2l7rnegwUCCGKvy9zzxn5qjaCD1VKlSqVSu37Nqa6CxTk6LUsRLnDWkKrUWdnJzo7OyXLy1Xzpsk/kMXg278wY3LZU/F1AYBhVCAaB5b9wPJzwN//YhNGdQhHOlR43QUXTh3O7kOXy/gUG/paWloCgD059KVExqQYuVWbZDIJn88n6lPr9Xo4HA4kEglZD/Y0UKBQ6odKpMGVug/hwC5lV4EcFQWWZTE6OgqDwVCwclEL5N7MnNtik5spN5vNWaIXewEhyVsrirXyZqpSyb0n6naouNdVoCBXr2UhypF/W1tbw8LCQlkKCtX0ePI8j+npaUQikayBLG+Qx2d+YIA/lL/VqBpUah0ScGF0FbgyF0Cn6TI+8fE3yP46O163xNCXXq8XezfrWYZ1t7M4Op0OLS0taGlpAZDWp/b5fFhfX8fW1hY8Ho8szoUGChRKfVCpNLjcCK1GJpNJ8oG92kBBkCPv6+tDW1vbjn/fbXssJ/kq8j6fL6siL/hQrVZbl997LSoKxSjWyhuLxXDp0iVZBFhuB/9YN4FCLQygSqUSKxWF4DgON27cAMuyZasaVSr/lkgkMDw8DJfLlTWQdXmaxRd/4EOKZcu+ZjlEA2tYn30W5oNORV+nELl9h5kyrEL5MJVKIZFIVKwEpBT1ZJyNRiOMRiOi0SgcDgf0en2Wc6lUzvZ2MIQUSj0j97xeqdcqZtf8fj+uX7+OQ4cOiUkKKVQTKAiJu0Jy5EKGv57ssVxkVuS7urqyDrzLy8sA0j5Ur9fXvMpdjFpXFEohJCjtdjs8Hg/Onj0rtnvNz89nJTDL6Wy4HfzjrgcKQquRIH2lpJqQWq0uuvBFmA3o6OhAV1dXTeTlhP7O/v5+sewIAN96Oo6nXvYDUHZNvM99HdvLlwGQrGrIbhre3IUswtDX+Pg4WJataujrdkBof8t1LrnDc5lzIsUC4tvBEFIo9YogDf7yyy9jaGhIUZtczO4TQrC4uAi3241z587BZDJVdO1y4HlebBsplrgr59py+DW5W4/KIV9Ffn5+HsFgEJcuXRIr8g6HA2azeVdb0+olaMlE+P0XauXN7GwQfs7FlBtp65HCZO5GkJLtr5ZiB/n19XXMz89XtaylnEBBMLobGxtZA1nxJMEnvx3Gwlq4onuQCs+lsLHwIsLe+Yx7UvQlK0IoH+r1epw7d27H0FfmNuly5NH2M/nkUfPpUwtzIkKQLgRgVqs16/n7feskhVKvsCwr+kW5lqEVQ/BhuQe8VCqFsbExGAwGDA0NVXQALDeRFovFMDIygpaWFhw7dqykgs1uHdx3G61WC4vFAqPRiK6uLrEiv7CwgEgkIstunkqot4qCQCH58EKtvJnKjULgkLkcVfi3/cyuBQq5rUYajUbx9e75ZhQ4jhMzFtUua5E6oyAMZOn1+h39nVdnVdgMW6EzasGlYuBY+X8mqXgIazP/hmTMl/X1vWBo8w19+Xy+LHk0IXDYK0NfciOl/JwZYAHpg4Df78fW1hZmZmag0WjQ0NCA9fV1sCy7Z5WpKJS9SL55PblU9YohSIhnZu4DgQDGxsZw8OBBtLa2VnztcgKF7e1tTE5O4vjx45KWPd7OgUIu9VKRr6c2qEyk3pfQytve3p41JzIzM4N4PA6LxSKePfZ7Iq3mgUKhXku1Wg1W4V78XNWjaDSKkZERtLW1obu7W5ZyZClDKAxk9fb2or29fce/a9UM1Bot1BodYLSBEB5cKg42FQOXioPnq6u6pOcRfgGe2zkcnWln94rh1ev1aG1tRWtrqyiPlinDKiwsE4a+bgcqWbim1WrR1NQkLvVLJBKYnZ3FF7/4RaysrOCd73wnHnjgAbz97W9HV1dXwetcvHgRn/nMZ7C+vo5EInEZwB8QQn5Z6PEMw/wKgP8G4CSABIDnAfwhIWSqrG+AQtknFJIGFw7xSh7uMg/zhBAsLS1hbW2tolajfNcu5VMIIZibm4PX68Xg4KDkDHi5/kqOZZn15B8LfT+lZFiVrMjX68xIJZ+hfHMioVAIv/zlL/GNb3wDHo8H0WgUDzzwAN761rcWDUT2oo+saaCQ2WqUO7BczTI0qWQaQbfbjdnZWZw8eRI2m0326+dDGMgqtrQt9/3LMCpodCZodGkjzXPszaAhBpaNA0R6Kde7PgbPyhUUmnsgCs9DKE2mPJrwYQ4Gg/B6vVheXgYhRCzBVrP+vd6RI5Oj1+tx/PhxfOc738E999yDT3/60/jZz36GxcXFgoHC9773PXzsYx/DxYsXcc899+D48eMvAPgJwzDHCSFLuY9nGKYPwI8A/G8ADwNoAPBpAE8AOFTVN0Ch7DFypcFzP8O18JHCawitRnq9HkNDQ7IEJ6X8YyqVwsjICBoaGjAwMFCWDZNazRfOHfV0yK8luRX5ZDK5Y2GZkFirNjDc6xWFYgitvL/3e78HvV6PSCSCwcFBvPjii3jb295W8Hl71UfWLFDI7LXMp2pUKyMobDxOJBIYGhqSNctcyBAKA1nCaxYbHNVqihswlVoDndoCGCzpYSE+gq31aTAMA63BCobZ+QFIzyO8gLB3oei1y4g59gQqlQp2ux12ux3ArfYaYf27MKzkdDp3dehLbuTOOqpUKhw+fBiHDx8u+rjPfvazeOSRR/ChD30IAEAI+QjDML8K4N8D+JM8TxkAoAXwJ4QQDgAYhvkkgJ8zDNNICNmW7ZugUOoYKbsRapVMCwaDWFhYKChDWinFKu7BYBCjo6NlKyllXrucYeb9RqXZe51Ol7ciL7TXVFORr9dhZrn9YyQSgcvlwgMPPIAHHnig6GP3qo9UPFCQuhuhFkYwkUjA4/Hg4MGDJYejKiGfIYzH4xgeHpY0kAUAWrV0I8YwDIi6AY2d5wAAqWQEEd8KUqkINBoDNDoTkvEQ1vPMI+Qjt6Kw3wxqbnuNMKwkDH01NDSIZdh6k2EtBzkzOclkUpJEcDKZxOXLl/HYY4/l/tO/AnhNgaddApAC8LsMw3wFgAnAvwPwKg0SKLcLUqXBlfaRwkHR7/fj/Pnzsg9oFvq+VlZWsLy8jLNnz1b8mlKlyd1uNyYnJ6HT6URbb7Vayz4L1FtSSY5DudwVeZ7ny5KXrxVyVzoikQh6enpKPm4v+0hFf4uFei3zobQR3NjYwPT0NMxmM3p7exV5jdzyp8fjwcTEBI4dOyYOjZZCU8X7V6szw95yVPx7LLSJuWvfB5eKSXp+rjxqPaFE0JI7rBQOh7OGvorJh9Z7ECXX70+q9Nv29jY4jsuXDdwAkHeLHyFkgWGYNwL4fwF8AYAKwFUAv1bVTVMoe4BydyMo6SNZlsXY2BhSqRT6+/trouIi7Czieb7q9qZSFQVCCKanpxEKhTA4OAhCiLjVfmJiAiaTCS6XC06nU1QgLEW9+4Bqya3IsywLn88nVuQzg618FfnbqaKw332kIoFCqV7LfChlBHmex+TkJGKxGM6fP4+xsTHZX0NAaD0SBrI8Hk9ZA1kAoJXxN2K0NIPw0n+m+9zuFYVhGFgsFlgsFvT09OyQDxW0q4Whr3o1gnITDofLUnTIE6AwKDAUwzBMK4CvAvgmgO8CsAD47wC+zzDM6wnZb81wFEqaYvN6hVDKRwaDQYyNjaG3t7fqvnSpCEIi7e3tFe0syqVYoCDMPlitVpw/fx6pVAqEEFEKU1C08Xq9ogKioAzkcDj2xK6eWgwOazSarIp8PB7PkmHNrcjXqzyqEhWF/e4jFasolGo1ykUJIyjoMDc3N6O/vx+EkKpWyJdC2AVx9epVmM1mDA4Olv2G1Mhsk8r5oPJ1fC6rtcHJlQ8Vhr7W1tYQCoWg1+uRTCYRjUazNJX3G1J3KDQ2NkKtVsPtduf+UzPSGZN8/AcAEULIHwlfYBjm/QCWkS7FPlfRTVModQ7HcWUFCYD8PpIQgpWVFaysrIgbj2dnZxVvAd7a2sLU1BROnDghZqurpVCgIKgMHjx4sODsQ6aiTXd3t5gk8ng8mJ+fh0ajEX2BsHjrdh6IFjAYDGhvby9YkRdwOBx11YIkd0XhdvCRivz2hDJqOR+kch9fCqE8lqvDrGSgkEgksLi4iP7+/or1puWsKAAA8gw3FyIWjePKlStwOp2iI6sXdtso5w59BQIBTExMZGkqC85kP8mwRiIRSVlGnU6HgYEBPPXUU3jooYcy/+mNAP6xwNNMAHJPJcLf93+5hnLbolKpyk4iySkhzrIsrl+/DrVandX2U+5StHIghCAej2NxcREXLlyATqeT7dr5Du7CElUhCJJKbpIokUjA6/WKi7csFgtMJlNNFuBJZbelSPNV5G/cuIFIJIJr167tqMjvZjVe7oqC1Kr7XvaRioV5uxVx8zyPqakpRCKRHcZIyQ/SysoK3G43Ojs7q1pKI3tFAdK/Z4PBgBMnTsDn8yGRSODKlStZB+DdGvDdbSOYC8MwMBqNMJlMOH36tKipLMjMCUNfDocDNputpqVruT9z5bQeffzjH8fDDz+MoaEh3H333Th+/PhfA2gH8CVAVGsYIoQI0hCPA/iPDMP8KYDvIF1W/XOksyWXZf1GKJQ9jkajkeVwKmTZe3p60NHRkfVv+ZaSykEymcTIyAgAYGBgQBEhEcH2CWeAWCxWUmVQCnq9Hm1tbWhraxMXmK2vr8Pv9+PSpUt1Ibldbz5SrVZDr9ejqakJdrsdyWRSnAkJhUIwGAxZi1Free8cx8kapJbTerRXfWT91INkQGg1ampqwtGjR2vy5hMiZ47jcODAgaoPavJXFKT/DAhuLTBbX1/HiRMnxGyKUE7MNIp7oXdTKTL7LwVNZZvNhr6+PnHoa3t7G7Ozs9BqtWK/q1C6Vgq5HUY5RvDd7343PB4PPvGJT2B9fR0A7gHwZkLI4s2HtAE4mHGvP2cY5rcA/BGAPwQQA/ASgF8lhERk+yYolDqjks+oWq1GMrlzUaZUCCFYXV3F0tJSwSx77lJSOfD7/bh+/TqOHDmC6elpReyf0JGQTCYxPDwMp9OpyBlAWGDGMAw4jsORI0eyBnz1ej2cTidcLte+bkmVQqaP1Ol0WTMhsVgsS4ZVSEg6HA5ZD/GF7kvOgC4ajRbci5XLXvWR+yZQEPoepa58l4Pcgaybm/aquqZO9hkF6R+IfKpHueXEzANwpuqByWRSzCjWW7YEKG5sCg19CaXrhoYGMeCSqrAhld1SdBB49NFH8eijjwp/Hcj8N0LII7mPJ4T8PYC/L3ZNhmFMSC+XCSBddmVv/uFy/hDcKssSQXeaQtkPVDOjIOwPAlA0yy7M2ckBIQTLy8tZm52np6cVsecMwyAcDosBiWB7lUK4/1xbL+cegnLYSz6SYRiYTCaYTCZ0dnZmVeRXV1fB87w4TK5EQnI/+kilUbT1qBLKfcPzPC/Knsnd91iMfANZcsxZ7GpFocStq9VqNDY2orGxEQDErMDc3BxisRgsFgtcLpfsRnG35xPyUc77NN/Ql8/nw8TEBFKpFGw2m9iqVG2ZfLcVHRTiDNKbKCNIa0rHAURv/j1y8//DGX+SAIYB/MNu3CyFogSVBgpCq1F3dzc6OzsVeY1cOI7D9evXoVKpcOHCBfFgJrQIyX2ojUQi2N7eVmT/QznkHoCFPQRLS0tgGKaq3Q3FqMdAQeo95avI+/1+MSGZb5i8GuT2kRzH7eqwNsMwDQAOYGcijQXA41Yijb/5BwD4chST6qqiIBgpqT/0eDyOkZERuFwuRfoe80EIwczMDAKBQN4ZiGr7O9PfAgHKmC0oer1yrlPmgdxoNKKjowMdHR1iVsDj8WB5eRlAWu3A5XLJMrxUb0awUmOTOfSVqbDh8/mwuLiY5Uwq+bnJnS0Jh8Nobm6W7XoVcgJpW/VRAB0ArBl/bDf/24j0ensNgFMAXgENFCh1SqWtR+Ue4ldXV7G4uIhTp05Jao+QY5g5EolgZGQEXV1dOwITuUVLMuXPjxw5IilIqNX8ZOYeggMHDmT16U9MTMBsNou2Xu7Kcj1QqY/UaDRZCcl4PA6fzydW5Kv9ucnpI+skiXkn0r4uhHRwEEM6eZaZTAtn/DeB9HzDj6S+wJ4NFISMfjnLzAQqjb6FgSybzZY3MFFSMaJiypxRuPW08oxpZlYASGtXZw4vGY3GrOGlctjL2ZJS5JNhzTf05XA4JLV3KdF/WQcVhRCArxNCfiDlwQzDPIi0rByFsm8oJ1DgOA7j4+MghJQ10FvtjMLGxgZmZ2dx8uRJWK3WvNfneV6Wg1oikcDw8DCamprQ3Nxc00HiSoKN3D79zN0NQmXZ5XLBbreX/fPZzz7SYDBkDZPn23lRTkVebh9ZjsSxQpxButL+UQCdyJ9Ia0I6kaYGcBrAz1EPgYJSGROe58WMfrnLzDJfo9xSUSAQwNjYGA4fPlwww1qPgUKlMwrVotVq0dzcjObmZhBCxN7NqakpJBIJsQcx39bjvYDcxkag0NBXZnuXMN+Qr81ut/svFeInuKkXzTCMBgBDCBEbqRmG0eJmCY4QkkRak/qbu3CfFIpkyj1sSg0UwuEwRkdH0dnZic7OzrJ8caWqR0ILcDgcxoULFwq2nspRdQduDUgfPXoUjY2N4uzDXiHf7ga/3y/aeqHdxuVy5d16vBdQwkcW2nmRWZEX/KPVas37+nL7yDrAD+CrhJAfSnkwwzC/A+A3ynmBujqhlTKEQquR0+nE4OBgRR+ecg/zwkDW6uqqOJBV7NrVGqt4PA5AxjkLGWcUKr8FBmazGWazGV1dXeB5XjSKwtZjwSjm60Hcz9mSYhQb+hobG8s79MVx3L6bUSCEBAEEGYZhCCEsADAM0wTABcBNCPHnPP450GVtlH2GlEBhbW0NCwsLkluNcqkk2SVk9l0uF86fP1/ULsqRTFtZWcHy8nKWP97rC9DUajVcLhdcLheAW7sbhK3HmTLl+RJE9eojla7y5FbkhU4Gt9uNqakpGAwGMXAQKvJyVbSAdAdAHexN+kek9y0ISTPkJNLEN8zNRNoS0lueJbNnAgWPx4OJiQn09/eLH6ZKKMdQZQ5kZS6lKUS12RKv14sbN24AeF3F19hxT2XMKORTPVICITAotNAmdxV8PToApSoKxZAy9KXX62UdGKyT1iPcDBLIzQDh3wN4M9KDWRsMw7wA4LuEkJVdvUkKRUGK+UdBpptl2ap2B5Q7B+Hz+TA+Pi5m9ktRTTKN5/ms7zHTH9c6UFD69fLtbshMEOXubqjHQCFTHrVW5HYyxGIx+Hy+rIp8LBYDy7KyCN/UQ8X9ZqLMf9NHpgCAYZgWAHYA6zcTbZmPf7rc16j71iNheNjv91fUaiTlNfJRbCCrEJVmSwghWFpagtvtxsDAAP5+VMbsfhmtR/nuqxbkGsVwOAyPxyPubrBarWBZdlcO54WoB8OcO/SVSCSwsLCAQCCAV155RRz6cjgcZc+FCNSDIbyJCmnlht8G8GEAPwUwBaAfwO8CeC3DMH9CCBndvVukUKQjV+uR4Ks6OjrQ1dVVlV2S6sMIIVhcXMTGxgbOnz8v2b5UmkyLx+MYHh5GS0sLenp68s4H1mNCSQ6E3Q1WqxW9vb3inh5hd4PBYADHcTCbzXXhlwRqUVEoRmZFvqOjA4QQBINBMenMcZw421DJXAhQ3kJSJclIpLUC+H2ktz1zANYZhnke6UTaeqXXr+uKQiKRwMjICOx2e8WtRrlIMYTCQNaJEyfE4Vy5rp1LroycSqUCg+zB4moo52dWD4Y2UxVIMIpbW1vweDy4dOmSuNBG6d0NpainoEVAr9fDarWKrUrC0JcwF2Kz2cTAQWrGMRwOV9TCoADCL/q1AH5MCPm/xH9gmEakVR8+wTDMhwghm7txgxSKkuSzdevr65ifny84PFwuUhJpLMtibGwMOp1O9FlSqcRHClWLYt0Ee731qBzy7W6YnJzE2toalpeXYbVaRZny3Zz/242KQjEYhoHNZoNer8f58+fFinzmXIhQqbFYLJLuvR5ac28iJNI+jHQy7XEA8wCO3/zavQzD/BdCyI1KLl5XgULminoh6pNa0pRKMUModSCrEOVmNWKxGIaHh8VMkIickUJZrUe5f999wysMdW1ubuLMmTM1291QinoMFACIMwq5Q188zyMQCMDr9Uoe+gIg9sfWAcKbMQVgFQAYhlED0BFCthmGeS+ApwDcBeBHDMOoytGJplD2EhzHiWo51bQa5VLqIB8OhzEyMoLe3l60t7fLfv1MMhe2lapayDUkXQ714B+B9O6GhoYGNDY2wmaziVnzXLltuXc3SKGeAoVc8lXkvV4vVlZWEAqFYDabRR9Z6L0XiUSKzq3WEOEH/XqkqwePif/AMG0AfgjgTxmGeZQQ4i334nXXesSyLGZmZuD1ejEwMCC7vnAhQyVUL5xOZ8mBrEKUY6yEQCjfJmk5P1rVbmauBzLLqbXc3SD1nuoJnufz9l6qVCqxzArsHPoqVKmJxWJ1YQgztix/AcD/YBhmhBDyT0hrRoMQsn5zg7PwJq6/Xw6FkkGl9kNoNWpvb0d3d7esdqjYQV6oXlQ6KC1cX8oBW5B3BZC1sK0QuzGjUE8I/ihzdwNwS257dXX1ttjdUA25LdCRSAQ+n29HRd5ut4tJyTqqKAhv/gSAdUBUCNTe9I0PAfgZgLMAfi60Kkm9eF1VFIS+x5aWFgwODipy0MunE13uQFaxa5cKFAghWFhYwNbWVsGZC1ltUIV7FOqJQodyJXc3lKKeKwpSei0zh76A7C3b0WgUWq0Wly5dgkqlkpytvHjxIj7zmc9gfX0dJ06cwJUrV+4lhPyy0OOZ9C/1Y0iXRvsAeAF8gxDyx4WeQwh5imGYOwD8EcMwdwN4CcAa0goAV5FetJYZWFAo+4ZUKoVr167h5MmTZbXFSiXfQV5YahaPx6uuXkhJpgmV9vb2dskzF7dT61Eh8v2cSu1uyJQp32eSoVWRWZEXlBqFivzS0hIAYGFhAQsLC2WdLZTykRn+7q8B/FeGYcYIIT9FegEbkA4eGnBrM3NZfSt1Eyh4vV7Mz8/D6XTiyJEjir1Opk50pQNZhSgVKHAch7GxMWi12qKBkLxxQuWbmfea4a3l7oZ6rihUEsBkVmoIIeJG15WVFQwNDeG+++7DBz/4QRw/fjzv87/3ve/hYx/7GC5evIh77rkHFy9exJUrV37CMMxxQshSgZf9SwBvAfCHAEaRXg7TJuF2/yfSuxIeAnAv0jKpB5GuNvQyDKMHEMiVTaVQ9io8z4uHuzvvvLNqUQ+pCEPEzc3N6O/vr9rmlfKRgvJfvkp7MXaj9aiekOKrpexucLlccDqde3Z3g1Lkq8hvbGzg+eefx/Xr13H9+nW86U1vwkc+8pGCP7da+EhCyL/cTKT9V4ZhXod04syN9HDz8wCu3XxcWR+WXQ8UCCGYm5vD9vY2Dh8+jEgkoujrCYaqmoGsYtcu9IGNRqMYHh6WpKIk7+ezjNajrHuoHyNRyaE8d3eDsJhFCEiF2Qen05l3d0Mp6rmiUO19MQyDzs5OfOITn8AvfvELPPPMM3j22WeLOqPPfvazeOSRR/ChD30IAPD5z38ef/M3f7OOtJTpn+R5jaMAPgLgdM6A1dVS93ezZPplhmG+gfRMwmkAJwG8AcC7ASwDWGUY5pFK+jEplFog1eZEo1GMjIygtbVV8ZbKTIT22GPHjolS1tVSyEdmJu0qaTmWWlEghGBtbQ2EELhcrooDrnqrYFTiI/PtbvB4PJJ3N+xF5Bqw1mq1ePOb34yNjQ285S1vwdve9ja89NJLRa9dQx/535BOpL0DwP1Ib2XuQzroOMIwjBvpRFpA0jeLXZ5RSCaTGBkZgcViwYULF+D3+xEMBks+rxrUajUikQjm5+crHsgqRKGsxvb2NiYnJyWXi+U8o5eneiTf69YbuYtZCu1ucLlckoxiPVcU5CohC9+j2WzGr/3arxV8XDKZxOXLl/HYY4/l/tO/AnhNgae9HcAcgF9lGOZxpCPaXwD4w1zVopu7E3xIqzowN/+obi6P+cXNP8JjDwK4gHQGJQUKZQ+zsbGBmZkZnDhxAna7HR6PBxzHKSrckJm8k3tOMF9FQVD+U6vVFSftpBzcOY7D6OiouG9mfHwcHMfBbrfD5XKJOwluV/R6Pdrb29He3i7ubvB4PAV3N+xF5E7wRSIRtLS0oK+vD319fQUfp7SPzORmG9LfMAzzVQB34lYi7a0APoD0wrVlhmEeJoRIyswrWlEo9uEV5gIOHz4s9kmXu+ylEkKhkGgA5VZzyf1+CSGYn5+Hx+PBhQsXJEfluzWjUK9TCkocygvtbsjdeGy32/MalnquKMi5dVLKe3Z7exscx6GlpSX3nzaQzvLn4wCAHgDvAfAI0m++vwDwY4Zh7sopjf4rgNfeXBwjvEnzGgpCyCzDMEcAfIiqHlH2KsJcQCwWw9DQkBgYCIIfSpFKpRCLxZBMJhWZE8xNpgmV9s7OzmzlvzIpNSQtzD10dnaitbUVHMehp6dHlMjM3EkgZNn30rCv3D4yc3eDsNwzd3dD5vxfPSbN8iGnfwSkDzMr6SMzEmmZ8wcqQkgMwL/d/IObjz0MYAjpmT7JhqTmrUfC4Xlra2vHXICSgYJgeIPBILq6uhSRfMz8sLAsi9HRURgMBgwMDJSnNS1rRaEc1aPM59VPaVXp+8i3u0HYeDwzM5NXEaieKwpyOfdwOFzWsrU8P49iA1MqAHoADxNCpm4+/2EAk0hXBF7OeOwZAB9kGGYNQBxpZYfM/yZv/jcFIIq0hvRpAGOSb55CqROEVqOWlpYdcwFK+shgMCjO0B09elQR+5ZZURAq7UK1pBqkJCWFuYfMQCtTIlPY5Cu0XAnDvi6Xa0fCqJ78I6B8hTvf7gav14uZmRnE4/GKdvTsBkpUFOrARz4FYIgQknnwL5RIm2YY5jAh5Hcl3zRqHCgkk0mMjo7CbDbnLTEqZQQzB7L6+voQjUZlf41MIpEIhoeHK25tkvfzLv1iQtZACTWNaqnloTxXXzl3d4PVakUikZBlwZHcyJkxkZotaWxshFqthtvtzv2nZqQzJvlYB8AKBvAm00hnObpx0wjelHhbBfDvkDaoBOnMCY+0MeRuPid18w8HIAxA2R5GCqVK8tk0IWNb6PCcuWtITlZXV7G0tITTp09jdHRUsYOnoDooJAsLKf+VS6G23+XlZayuru5oocr3/TEZm3yFuTYhYTQ7OwudTicO+97uCkHCz6mzs3PHjh5h8JfjuLpLqMldUYhGo7vqI28Kd5wG8LsMw3iRTpgJfzITakIyjQHwLwzDHCKEzEn7LmvYeuT3+3H9+vWsVqNclAgUcgeyNjc3FVVHEOTrTp06VfFBUt6KgvSLMQwjOiphqr+trU12adFy2W1jk7u7IRgMYnp6GnNzc1haWqrZ7gYpyJkxkZot0el0GBgYwFNPPYWHHnoo85/eCOAfCzzteQAahmEOEkJmb37tANI2aVF4ECGEZRjmV5GWdjPd/GPJ+Lsh4+vGm//9NgDJg1oUym7D8zympqYQiUSKtqnK7SM5jsONGzfAcRwuXLgAjUYjZv2VsmUrKytwOp2ytjblZvgzVaKk7GHIR+6wr1BtmJmZQSwWA8dx8Hg8dSEtups+MlcRKJlMwuPxIJVK4ZVXXqmr3Q1KVBSkBAoK+kgt0oHGh27+vVAijUU6YFAh3aZUlmqQ4hUFYW/A5uYmzp07V3R5k0ajka3/Umhxyh3IUqpqQQjB7Owskskk7rrrrqpUAnar9YhhVDh69CgIIRgZGRHbtZLJpDjIVA9GcTcRFtpYLBa0t7fDaDTC6/VibW0NwWAQJpNJHIreDaMoh+qRQDll1Y9//ON4+OGHMTQ0hLvvvhtf+tKXAKAdwJcAgGGYTyJdHn3g5lOeBnAFwN8yDPMHN7/2OaQrCZcyr00IuV7lt0Kh1C2xWAwjIyNobm4u2fIjp/8SWpza2tqyFrcJryF3C0k0GsXc3BxsNhuOHTsm67UzA4VkMonh4WE0Njbi2LFjsh2gjUYjOjs70dnZiXg8jtHRUfh8PszNzUGr1YrVhsyFlbcjOp0OTU1NWF9fx7lz5+pqd8NuzSgAivnIKIA3ATDjVsKsIePvwn+NN/+YAXwH9RQopFIpDA8Pw2g0SlIzkKvvL5VKYXR0FCaTaUfWopwV8uW+ntlshslkqlpKjGEI5NumUM7CNXLz9RlotVq0traioaFBLMF6PB7Mzs5Cr9dnGUWl2e2KQj6EzIRWq81aaCP0bk5MTCCZTIpG0eFw1MwoyjmjINUIvvvd74bH48EnPvEJrK+v4+TJkwDwZkKIkPloQ3rXAYC0jjPDMG8B8L8BPIv0huWnAHw8dwj55tIZJmN46wDSmRgvgB8hnSVpAbCFdHmVlLN1kkLZDTIruFL3BsgVKGxtbWFqaipvi5MSyTTh9bq6uhTp7RfODqFQCKOjozh8+LDYT68Egu0/dOgQgHR7s8fjEdtTa92zX28+khAClUpVcneDVqsVqw212N0gd0Vht33kzf+OyvYNFUDRd/DMzAw6OjryTXrnRY43iWAoDhw4gNbW1h3/nrlwTQ7C4TBGRkbE1/N4PFVfU86Kb3kL1/J/uVgJNh6PK34YrjcjCBTucVVyd0OtKXc9/aOPPopHH30080vPCv9DCHkk9/GEkHWkl6YV5eahnwAAwzC/DuC/ALAj3Xb0A6RbkX4HwGVCyD9LvmEKZReJx+NYXV0tSxGv2kO8UPn2+XwFX1fOZJogter1ekUJ9EBA/q5AhmEQiUQwOjqK06dPl2W35MBgMGS1p2b27AvS3C6XS7HDcL35yEL7CnLPEvF4HF6vt2a7G5SYUShHGEcJH8lk/KCFBBnDMJ0AdLg1v8cjnUQLZj5OKooGCsePH1dc7jQTYZtsMUMhDFPJwcbGBmZnZ3Hq1ClZVZTkbD1COapHEh+XWYLleV7MEAiHYcEQ7OcSrJTMhJTdDUJlph4X2pSr6KAUDMMwhBByU/b0D5Hu3ZwF8J8IIRzDMFGkezXfB+CfGYZRUWlUSr1jMBhw7ty5sp6jVquRSCQqej1hb5HVasXg4GBB2yxXoCAo/xmNRlH5r5SMaSUIm+RDoRDuvvtuRXdMCBTrfsjt2Rfs/sLCgniwdLlccDgcNbnX3UBq5t5gMNR0d4PcFYVoNFqTropiZAQHKoZhfgXpJW0u3BpmjiJddX+FEPI/mQoOZfWrY1UGPM/jxo0bYFkWQ0NDRUt9chhBQgimp6cRCoVw4cKFHR/2aqP73RpmztRHldoGplKpsg7DQoYgUyFIMIqVlmDrLVsCVHZPubsbQqEQvF5v1u6Gelr8U25FQUEECbljAFoIIX/EMMwbcFMCjhASYxhmA8C9GY+nUOqaSmxapRWFQCCAsbGxomIi1b5GJkKlva+vD21tbeLXC6kTVYoQjKjVajQ2NtblwTvX7geDQXg8HiwvL4NhGLHaUE2Vud58ZCX3U87uhkoP53JXFAghuz6zKSTSAJwC8CmkhTz+FbeEP0xItzUJ2WwVCsinFqIuA4Vy3mTCIpXcgaxCVGsEU6mUmJU5f/78jtcTMiZVBQpynhHL2cwsw8tlZgjyyaYJ1YZySrD12G5ebWYi0yhm7m4QjGK+3Q21JhKJZDn5OsCCW0NY7UhnSgRcSPdwAjRQoOxTyvVfhBCsrKxgZWWlpJiIQLXJtM3NTczMzOSttMvZ1iQsa+vp6UFDQwOWlpYkPW83D9QMw8Bms4kS5MlkMqvKLFQbnE5n2UFPPQUKcmTuM3c3CDsuqt3dwPO8bDMjdXQuERJp55Deu/AAISSV94HpoKLsA7Di8qjlIhgSKVGaMCAldRAs8/qVIMw/HDx4sODchZAxqeoQKeOGZAblLFyT941frAQbiUSyqg2ljGI9GUFA/gxOod0Ns7OziMfjsFqtolEs9LMq1BdaKdFotC5aj3Arhp0DwDMM82YAaqRl3sAwzOsB3AfgpzmPp1DqmnIFPMoJFDiOw/Xr18EwDIaGhiRnPiv1kYQQzMzMIBAIYHBwUNH5B0H2/OTJk7DZbAiFQorKnudDDn+p0+nQ2tqK1tbWrNablZUVABCrDRaLpahtr6NDKwBlNkVL2d1Q6mfFcZwsezty761OCAGYQnp2L2+gUKnIR91VFARDWMyoZQ5klbuwpdKKwvr6Oubn50sOSlVrCGOxGOJxNW5ViaqkwjexEpsnC5Vgl5aWwDCMmEnJ/aDXW1kVkL/XMZd8uxuEzJNQrnY6nbBareLPZjcVHZREMG6EkBcYhvk7AP83gEYADQzDfB7AGwDcAPC1m4+r3WAUhVJDpEqIRyIRjIyMoKurC52dnWW9RiU+Uqi0WywWDAwMFJ1/qMavEEKwtLQEt9ud5ftrvSlZCX+U23qTSqXg9XqxurqKYDCIhoYGMXDIF4TVk49U2j/m293g9XqxsrKCUCgk7m5wuVxZ50M576tegrOMebx/BuAE8EcMwzyOdOCQRHpWgQfgI4SUJYsqULeBQiGE7c4Wi6XoQFYhyjUoPM9jenoakUik5PwDUF2g4PV6cePGDZiM98AXK/14KZTz86nl+z6zBHvgwAHxg768vCyWYDNnH+qNWgYvwu4Gu92OAwcOiA5kbW0NExMTMJlMYo/rbmlEK03GgPLXkR7QugdAE4A7kF5Y8xlCSIAOMlP2M1IO8RsbG5iZmRGz7eVSrg8rpTSYSTUzCjzPY3x8HISQHXLrtQ4UakGu9HY4HN4x6OtyuWC1WuvuexfkUWtFbmVG2N0wPj4OlmVFZcZUKiWbj0wkErJXJ2TgBICPIi3ssYz0LEIEgA3AFwB8rxIfWXetR8UMYTkDWXLck7C4xel04ty5c5KeW2mgsLS0hPX1dQwMDOClDTl/LfWTZShGoRLs6OgoUqkUtFotAoFAVgZ9N9nNKkeuAxGMohDQTk1NySJXK3U9vdLc7KsUdKNDAL4M4MsMw5gIIdGbj3knwzBzhJBru3irFEpZyNl6JCS1wuFwWZKr5bxGLm63G3Nzc5IlSSv1j4lEAteuXUNLSwt6enrySlPX22FZThiGgcVigcViEWfafD4f3G43pqamkEgksLGxgebm5ro4vMrdBlsOxXY3bG5uIhQKobm5uerdDXWkCqi+WUX/PQC/CuBvAEwDcCC9YM0AoBvZM31lsScqCpUMZFVLMBjE6Ogojhw5UtbilkoqFjdu3ADHcRgcHIRarYZa1j0Klc0o7KbhzS3But1ubG5uihl0s9ksDkXvpqxoPQQsmUbR6XRicXERjY2N8Hg8Ve9uqIeKQoY06h0A3o30dsl/I4R8H0CKYZj3Avh1AO8C8CiAaxmGk0LZVxQ6xCcSCYyMjMDhcOQV2SgHKRLihBBMTU0hEonkVf4rdu1yAwUhQdjf3y/q7+eyG61HuxmY5A76Xrp0CRzHiRl0odqwWwp6ta4oFCNzd0MqlUJLSwsSiUTW7gZhVrKc80S9tObiVjb49QBeIoR8tNiDK6m412WgkNmDKbz5AZQ1kFUNa2trWFxcxNmzZ8uOGMsxhMlkEteuXUNTUxN6e3tF465SyWiA6uAwWy0ajQYNDQ04cOCAWILNlBXNLMHWi3HaDQRFh2K7G8pZaLPbhjAjSLgLwF8j3X/ZDOAhhmFaAHQhHSTMAHgPbg4z0yCBsl/JFyj4fD6Mj4/j6NGjohhCNahUKqRSeWchAdzax2C32yVX2jOvXc4Be319HQsLCyUThLt9cN9NGIaBWq1GZ2dnXgU9g8Egzv8Zjcaa3NNuVhSKwfM8jEYjXC7Xjt0NKysrIIRIPk/UQyLtJsKB81UAitxQ3bUeaTQa0RAK8mfCci+l33g8z2NychKJRAIXLlyoSEZLaqBQrGIhb0WhPmcUyiGzzSezBNvT05NVgp2cnBT79Z1OJwwGwy7feW3hOG6HYSu1u6HYQptyt04qgCD79rtI91t+BGn5t+8D+GMA3wHwPtpuRNmrVDJjJ0AIweLiItxuN86fPy/bIbBY61EwGMTY2BgOHTpUUfuv1BmF3IqFlNnA2zVQALJ9ZKaCniAr6vF4MDU1hWQymbWvR6nEaz1VFDLJFcoptLtBaOkqtruhHpat3UR4408C+M8Mw2iQTppFkZ7niyMdTCwRQira1liXFQWO48RouNKBrHJJJBIYHh5GU1MT+vv7Kw5KpAQKQl9noYqFnIECypBHzVSVrMdsQD5yS7DRaBQej0dcwLfbJdhaUkrRId/uhsyFNsLuBpfLBaPRiGg0WrMMVAnOA/giIeRlAGAYZhHAGCHkD2/+XQeAJ4SUloOhUPYBLMtibGwMWq0WQ0NDstq2Qj5sbW0NCwsLkucRyrl2Jpm7iqRWLG631iOpZMqKdnV1if3629vbmJ2dhU6nExNrch5667WikC+ZlonU3Q12u33XK+4ZaJCWQ30D0kvXjgN4G4Ag0sPMcaSr8R8AMJqxoK2sF6grVCoV1tbWAKCqgaxSZEbgQg+kHKXbYgZE0JkOBoNFFZTqpaJQL4ZQ6uAwwzAwm80wm83iEFPuZsdal2BrSblbJzONIpDOkHi9Xly5cgW///u/D7VajR/96Ed4wxveUDJYv3jxIj7zmc9gfX0dJ06cwOc+9znce++9RZ8DAAzDHAZwBQBDCClkdR1I71AQMAD4ofAXQkiy5AtRKPsEjuPwyiuvoKenBx0dHbJfP7eiwPM8pqamEIvFJCn/FaNUoBCJRDA8PCxJQSmTctSUwuEwgsEgXC6XbMu3dhupPjKzXx+AWG0QDsKCOlC1QhhKy6NWitQdXUDx3Q1/8Rd/gWeffRbNzc149dVXMTAwUPT7VdI/ZixX+2sA3wagRdpnWpFuRTIivaDUd/PxZR/s6qr1KJFIYHl5GUajsagWc7UIhlCj0WBlZQXLy8uyDUkXMoQsy2JkZAQNDQ0lh81krSjUYVRfK9RqdcESbCKRENtu7Hb7rq9hl4Nq19NnGsWXXnoJ999/P65evYq//Mu/xH/6T/8JDz74YN7nfe9738PHPvYxXLx4Effccw8uXryIX/u1X0MkEukmhBRcl3qzEvD3AJ4F8Noit6YD8AjDMMcAbCOt4HA/wzBJpHWiI0hnTkYLbaSkUOqRcn2c2+1GLBbDXXfdpVhbYKYPy1T+O3r0aNU+udjzhQWqp06dgtVqLfu6Us4/QjXfbrdjeXk56+BsMpnqMguuJEajUWzt5nleVAean5+HVqsVK8zl/mzqcfcRUN19Ze5u+NSnPoWvfOUrePnll/GFL3wBs7OzePbZZ/Neu5B/HB8fR3d3d8HXK+UfM2b4Pop0YLAEIIy0P/QBWEG6/SiKdMVhvaJvHHVUUfD7/bh+/Tqam5uh1WoVfZOpVCqwLIvJyUmwLCvrkHS+QEGYtejt7UVbW1vJa6jVMm5mLkf1KPfve6yiUIxCJViv14u5uTnodLoso7gXkTOLo9frodVq8YlPfAJA8ffCZz/7WTzyyCP40Ic+BAD4/Oc/jyeffBIzMzP/HsCfFHmZTwEYAfAL5A8UhBe9BOAIgF6ke+m2kC6zCs/hANiR3s68Wfq7o1D2FsL8XDweh9lsVrTlQUikCZX2cpX/yoUQgoWFBWxtbVXcRVAqUCCEYG5uDj6fDwMDA2KiMJFIwOPxYG5uDrFYTOzfl5I8qhf/CMjjI1UqVZYQRjweF/1jLBYT224cDkfJSowgrFGPyHW2ZBgGd999Nz7ykY8UfVwh//jFL34Rn/zkJ4s9tZR/FLgH6eQZQfpMr0J6vk/4RgX/+BpU6B8V/01K+QALOwTOnz+PUCiEQCCg9G3h6tWraGtry6vJXA25gcL29jYmJyfLmrWotqLA8xxioQ2oVBqwqbh0I0Lqc0ZBiexEvhJsbi+iIJmW6zDqyUFkIqdxJoTskMvNRzKZxOXLl/HYY49lff1Nb3oTZmZmXlPo+gzD/DqAtyA9f5C3VJFRIv0o0qvK9Ui3HWmR1oc23vyjR3qhTFDCt0ah7Cni8TiGh4fR3NyM/v5+vPLKK+JBVwlUKhUikQjGx8cVlyPnOA7Xr1+HWq3G4OBgxYmOYucMjuMwNjYGnU6Hc+fOgeM4bG9vw+fzwWKxwOFwiG1Ofr9fDByE/n1hZiv39eoNue/JYDCgvb0d7e3t4HkewWAQHo8Hi4uLUKvVYmIt3y6Ceq4oyEUkEinZ+lfMP77wwgsFn1emf/xjpP2h4B+NN/8r/H/V/nFXQz6WZXH9+nVoNBpxICsajZa9Pr4cfD4fAoEAjh07pkh/p6C+IChSbGxsZK2al4KmikCBYxOIBtbAc+kOjETUg0TUC5VaC7VaB5VaC0aVP1NCCEEymdzV3QS7hdFoREdHBzo6OnaUYDUaTVZ5ul6NIMdxsi3bicfjkuY4tre3wXEcWlpasr5+8+95m4wZhmlDemnaOwkhoVI/S0LIgrS7plD2FqXe+16vFzdu3MjaIaDRaMCyrCKBAs/zmJ2dRTwex7333qtoVlgIgNra2oq2YEih0M9RWNTW1taGrq4usCyL9fV1bGxsiOIX6+vr0Ol0sFqtsNls6Ovrg0ajKagWZLfb69L+K4lKpYLdbofdbgdwS3Zb2EVgtVrFxJpWq63bGQU5iUajJeXzi/nHp59+Ou9zKvCPc0UfIAO7FiiEw2GMjo6iu7s768CeKY8qJ4QQLC8vY21tTdTIVQKGYURFCoZhdqyal0Kln69UIoJocB3I3KfBqAAQ8FwSPJe8eY9qqDU6qNQ6MCqNaPQIIMpmAumMQj0YxVofzEuVYC0WC1iWVcxZV0q1MwqZhMPhsnaI5MsoYWc3m8C3kFYxeqmSe2MKvBkqGdKiUOqRzHacgYGBLKnncjYnl4Og/Od0OhGPxxW1bUKr8bFjx0Q7KzeCBPnRo0fhcDiQTCaxuLiIYDAo+mTBXvI8D5/PB6/XCwAwm82wWq1wOp2i3r7P58PW1hZmZmZgNBqRTCaRSCTqYhNyrcmV3RaqDcvLy2AYBgzDiEnT3T4/KEU5qkdlVlzqzj/uSuuRMFB08uTJHQd2JYwgx3G4ceMGCCG4cOECJiYmFKta8DyPpaUl9PT0oLu7u7JdEhWc9RJRH+LhrR1fZ7Dz9QnhwKZiQCoGgElXGjRaaNRGnD17Vvx5eTwerK2tiZsLnU6n5A2ccrLb57/cEqzX64XP58O1a9egUqnEn025m4/lRs4sjtRlMo2NjVCr1XC73Vlf39zcBICNAk97PYDXMgzzpzf/zgBQMQzDAniUEPJ/ir0mDQgo+5lUKoWxsTEYDIa87ThK+Ejh4N7f3w+bzQaPxyPr9TNJJpO4ceOGrLsfctnY2MDs7CzOnDkDo9GIRCKBubk5xOPxvI9XqVTiz5nnecRiMUQiEayursJgMMBiscBut+PQoUNi58O1a9cwPj4OjuPgcDjQ2NgIq9W6bw/GhWAYBjabTWytTiaTmJiYgMfjwfr6urjk0+Vy7cr5QUDuoCUajZb0kcX8Y26VIYO68481TYcKMmvRaLTg2ne5jWBmebOrq0uMdMtdIy+FQCCApaUlNDc3o6enp+LrlNN6RAhBLLyJVKzQXEepDwYBxyXAcQnwbBQLCwtiz2FnZydcLlfW5kIAYhtOLQ/G9WJ8VSoVrFYrzGYzzpw5I5ZgFxcX85Zga0k50m+liEQikioKOp0OAwMDeOqpp/DQQw+JX3/qqacAoFAT5qmcv78dwP8PwBCA1YpumELZB4RCIYyOjhaVB5XbRy4vL2NlZUWcR+B5XpFEmjCQzbIs7rnnHkUqFoQQzM/Pw+PxYHBwEGq1GuFwGPPz82DZ/GtWWI6DJsNu5lYbOI6D1+vF9vY2VCoVGhoaxIDgzJkzYjVibW0NExMTaGhoEJNHt2Mbr06nExef2u128fwwMjICAGK1vtZBlZwVd0BaMq2YfyykIog69I81CxTi8ThGRkbQ2NhYVGZNrVYX/ECXi9Dfefz4cTgcjqzXkNsQrq2tYXFxEb29vVVfS+p7mec5xILrYJPRgo8p64NIkLXsTsismM1mdHV1oa+vD8lkcsfBuLGxUZISQqXUW/kyc5lMsRIsADGTYrFYFP8eSi2TKQepgQIAfPzjH8fDDz+MoaEh3H333fjSl74k7EL5EgAwDPNJAEOEkAcAgBAylvl8hmEGkV6YNpZ7bQplP5NpE6QuNJPLf/E8j/HxcfA8n6X8p0RveSqVwvDwMBwOB4xGo2JBwujoKNRqNc6fPw9CiGiLCyVZXxrx4slXU9CoOLQ6CQaPNuDM0ewDbG61IRwOY3Z2FqFQCOPj42K1QTjXhMNheDwejI6OAqitD6gXBB+Zu/k4lUrtCKqEn4/SQZXccxORSESSRHEh//jhD38YwN7wjzVpPco3kFUIOYxg5iBxbn8nIG07ZDmvlVkl2draQiwWq+qaGgnyqBybRDSwKg4tF6RMwxSNRjE7O4uDBw/CbDYjHo8jEolgY2MDRqMRJpMJVqsVzc3NALBDCeF20KQuZHDylWC9Xi9WVlYQCoUUzzTJmTGR2noEAO9+97vh8XjwiU98Auvr6zh58iSeeOIJ3HfffYs3H9IG4KAsN0ah7DN4nseNGzeQSqUkLTSTw0cKlfbW1taKW2SlEg6HMTIygkOHDqG5uRmbm5uyJ3+SySSi0Sg6OzvR3d0NlmXhdruxsVGo+xH4p2fcuDavAaPWgoMWqz5g9SUO//T8JmymFPq7dbj7jAPWhluVYYZhsLKyApZlcejQIaRSKXg8HmxtbUGtVqOhoQF2ux3t7e3o7e1FKpWC1+vF8vIywuGwWHF2Op11Nd8mN4SQvD5Sq9WiubkZzc3NIIQgHA7D6/WKs5EOh0OcIZU7YFWioiAlmVbIP2Z0ndS9f1T8nbq0tISVlZW8B/Z8VHuIz5RbKzRIrFarZQkUhFXzNpsNZ8+ela2tqVTrEZuMIhJYyx5aLkC+GYWC3NSa7u/v3zE8x/M8UqmUKB+n0WhgMplgNpvR09ODgwcPVqVJXfy28hud3UKqk9PpdGhtbUVraysIIQiFQllGUcikyFWClXtGoZxh5kcffRSPPvpo3n8jhDxS7LmEkK8D+Lr0u6NQ9gepVAqvvvpqWQf2agMFn8+H8fFxRQeJBTY3NzEzM4NTp06J2Vdhi7Jch7ZQKISRkRHo9Xp0dnYimUxieXkZfr8/7+M5jsdX/nkN7oApbx6NUWsRTGjxyjTw8lQAOiaOriYVLhxvABJraGhoyCurzvO8KO9OCBGTana7HceOHQPDMGJibWlpSZxvKyQxupfJrLoXgmEYWCwWWCwW9PT0gGVZ+Hw+uN1uTE1NwWg0ij8fOQbGd6uiAOx9/6h4oOByudDW1ib5F1TNhyUWi2F4eBgdHR3o6uoq+DiVSlV1RkbIkuT2kgqT/tVQbJg5EfOnh5alvkYZC9c4QvDdn8VxYmkNrxtqRWfLLf3szN+fRqMBz/OIRCIIh8Nwu90wGAwwmUx5NalnZ2eh1+sLalKXot5mVysxOJklWCHTlFmCNZvNYqapUqMot+qRkkudKBRKOsN64sSJsj5rlQYKmcp/UhN3lSIsOPN6vRgcHMyqoArJNDlslRCInD59GsPDwwiFQlhdXS1Y1Y/GWXzhH9yIstJ2QzCMCimYMLcFzP2CBeFsaGzgcOKgB3eetMNouHWEym1RSiaT2NragtvthlarFe1/V1cXDhw4kCUxGo1Gi+7u2WtU4iM1Gg2amprQ1NQkStd6PB6Mj4+DZVmx2mCz2So68MtdUYjFYooN49cbigcKZrNZ0b0IAh6PBxMTEzhx4oSo9VuIarP+wqr506dP74gohWxJNRR6L8dCm0jG/GVdq9zAy+Px4lmPF8++NAmjyYTerkbceboFQ6ec0GRsgss1isLB1+PxQKvVwmw2w2w248CBA1Cr1UU1qaV86Osp2yJH2Ty3BBuJRODxeHD9+vWKS7C7oXpEoVAqR8iqlpMMUavVSKVKtJzmwHEcxsfHRcluJQ+iHMdhdHQUer0eAwMDO2ySHMk0QT52e3sbAwMD0Gg0aGxsxBNPPIFUKiVq/me2wK5vx/DVH3vBMZUvkGPUenhiwLNjwC9G/DBo4uhr0+CuU1Z0txZPrPn9fvh8vqxqg8PhENVvAoEAPB4P5ufnodVqs9p49xrV+kiGYcQzRHd3NziOg8/nE+cnDQaDmFiTelhXYrdDPXU6KElNZhSUJFNvWupiM7VajUQiUfFrbW9vF1w1L0frUTIeBnBr+JrwPKLBdbDJSPkXq6ZCE43ixuQSVtZ8ONJ3AY22/D/bfJrUQgmWYRgYjUaYzWY0NTUV1KQuVmKsx2FmOQ0EwzBoaGgQS9qFSrBOp7NoFlDOFi2h35dCodQXarW6oMxnPoRKe3t7u6j8J4VK7G4sFsO1a9fQ1dVV0H5U6yOFIWwA4tCyz+dDJBLBkSNHkEqlEAgEsLa2Ju692Qjo8eRlFRi1fBlgRqVCgjfhxgoPrTqYFSjkkptYSyQS2NjYwPr6OvR6PSwWC2w2G3p7e3Ho0CHE43F4PB7MzMwgHo+LiSOpibXdRm4fqVar0djYiMbGRgAQqw2ZiUen01m0zVnOikK9dTkozZ6ephEWm+l0urLWv1diqIQ18FqtNm+WpJprZ7KysoItdxxCoMBzKUQCq+DZZEXXK2tGIQ9trU34L793Dga99A9YPqMYi8WwubkJvV4Po9EIi8WCw4cPg2GYHSVGp9NZ15rUSgcuhUqwExMTSKVScDgcolFUymlEIpE9mcmiUPY75SgDCnYjV/mvFML+o3LsnDD7UOq1qqm6J5NJXLt2Dc3Nzeju7gbP89jY2MDa2pp4r1qtVjxU8jyPJ55bw6UZLRgFqiiE5/D6syrcdz6/lG0+Ci1783g8YtJIWPYmqOn5/X5sb29jZmZGzKa7XC5F28eqQem5QpPJBJPJhK6uLnAcB7/fLy5F1el0YmIt04cpUVGox/OJEtRloCAYkmK/1Gg0iuHh4R2bnaVQ7jBzPB7HtWvXSs4+AJWXVQkhmJycRDwex5Ejp/HLRYBNxhANroHwVbRuVfFGPn60G3/w8PGqPgylqg3CB76trQ2dnZ15NakJIWU5OaWp5Xr6QiXYTKchDEXLSTgcljyoRaFQKiffUtJiaDSaku28pZT/SiHMQUi1c8vLy1hdXZX0WpUm08LhMIaHh3HkyBE4nU6wLIuVlRV4vd68PooQgu88uYGZDSMYlfwHOsIl8e7XmXDsgLX0g4uQm1iLRqMIh8NYWVnJWvZ28OBBqNXqvIkjlmVr6pdKIWWYWS4y1RaBdFXL6/WK1Rih2pBKpWhFoULqsvVIMISF3vTCjMDJkydFKcpyKGeYWWqWRKCSbAnLshgeHobVasXp06dxfRFIxoOIhTakDy0Xup+KKgoM7n/NUbzv1/uqeu185BrFeDyOaDQqVhvMZjMaGhqyNKlnZmawvLwMt9tdF5rUu9kKVawEG4lEMDU1JYvSlJStkxQKpfaUGmYWqt8ajaag8l8ppB7meZ4XD6xSZx8qSaZtbW1henoap0+fhslkQjKZxPz8PKLRwjuE/vaf17DiM1aTKyuIisTxu293oK1R3mFWqcvempub0dHRIbZdra+v49KlS+Kis1rsJSjGbioVGo1GdHR0oKOjQ5wN8Xq92NzcFO+pWgn3eDx+W1Xc67KiIBjC3M22mUoKhWYEpCDVCK6srGBlZaWsVfPlZkuEykhvby9aW1vBsiyCAS9iQek9qEUp84PAqFR491vO4oE7Cq4Xl41MoyhsAw0EAvD5fFCpVKL8qtVqhcVigcPhEBfo7KYmdT1lbjJLsK+88gpcLldWCVYIrIxGY1lGsVx5VAqFUhuKBQqCPyk2I1Dtawgkk0kMDw+jsbFRlP+UQjk+UqiMbG5uikPL0WgUc3NzJQe6f+dt7RieDuLyjTDWvQALgywJHoMqiv/wrlY0mJT3OfmWvYVCISwvL8NoNIryq3q9HhcuXBBFMTIluBsbG2ueWKtlRaEYKpVK3ASt1+tBCIFGoxEl3IUzRLkLY8PhMA0Udpt8PZgsy2J0dBRGo7HojIDU6xczgsKq+UQiUbZCRDlGMLNaYbVakUwmsbm5iXg4BqB63eA05X1Yf/8Dd+L04fKrNFL42x9OY2bJhxOHmnD/hVZ0NN8KvnJ/n0IJNhgMYnZ2Ft3d3QAgZlN2U5O6ngIFAcEwFyvBliO/V45GNIVCqR2F/Nf29jYmJyclKf+VopQfE3YXHDlyBE1NTWVdW2rVXRhaJoRgYGBA7NVfXFyU9HyGYXD2iA1nj6T9mXs7judH/JhdZRFN6cGoyq+4ukxRfPjBNmgUmHdY2Yzj737igVlPcLxPjztP2dFgupUszac0uL29jYWFBaytrcHpdMJms6GtrQ09PT2iEqGw8NNisYiJtdwkrNzUmwAJkK7OGI1GtLS0oL29HTzPZy2MLecMcbvJh9dl61GuIRR2FvT29qK9vb3qeypmBIUsidPpRH9/f9n3L7Wsurq6iqWlJZw/fx46nQ7JZBLr6+tIJpNQy/hbKff++cg8FhcdcDgcaGhokOVAzHE8PvvNMUzNrAIAntn04JkXJmAymXGguxF3nGnB4AnHDvlVQghmZ2fhcDhgMpnEgS9h2ZugElRrTep6NIL5dMlzS7CZ8nsajaboFm0qj0qh1IZybUmufySEYH5+Htvb25KV/0pRzEe63W7Mzc3hzJkzFdkIKcm0zGpFT08PeJ7H5uYm1tbWyn49gdZGAx58fXroOJFk8fJYACOzMWwH1WDUxX9mhBB0WH2480gMM9NhOBwOMZMvB+NzIXz/mQgYlRHJOPD8DeC56wEYNHH0NKtxx0kLDnTe+lkLftnv92N5eRmHDh1CMBgUl8yZTCZxtkE4x4RCIXg8HqysrIBhGLHa3NDQoIg/q3cfqVKpRBldAFlniEgkklVtyA2sbreKe91WFARDKCxUOXnyJKzW6oaGBAoZqlAohNHRUXHVfCWUypYQQjA1NYVoNCoqNUWjUbjdbvF7LrWZucwbKuuhp06dQiAQwObmJubm5mA0GkWFnUqyEPE4iz//8lWsu7d3/Fs0GsHYRARjE4v4ukaD1mYnTh1NVxssRmBiYgLt7e1iP37mQLSw7I0QAqPRKC57q4Umdb1WFIrdk0qlgsPhEOdscrdo55ZgaUWBQqlPMv2joPyn1+vLUv4r5zUECCGYmZlBMBjEhQsXKs5KlwoUhMTgoUOH4HK5wLIsVldX4fF4Knq9fOh1Gtx33oWjHRvp6+rbcXkiiqUtghTRg8lYVEp4Hq85TvCmOw8BSPen+/1+zM3NgeM42Gw22O32ig/cLwz78K+XU2BU2a3UgvzqlBuYcifB8OtosnI4ddCIwRM2hALpvQL9/f1Zv4tMpcHMZW82mw1dXV3o6+tDMpmE1+vF0tLSjkNxLdt4a0kpH6nX69HW1iYqTQnVhuXlZQAQqzEWiwXRaJQGCruN0Ho0MzMDv9+/Y7OjHNfPNYIbGxuYnZ3F6dOnq8qkFjOCLMtiZGQEDQ0NOHPmjJjl3dzczHqcVsYEeLnDzGq1WuzpE6Q5vV4vJiYmAEA8bEoZBPIEE/jkly4hEAiWfF2OZbG6tonVtU08+W/XYTKbcajHidcatXC5sjP4+TZgxuNxbG9vQ6fTwWg0oqGhAX19fXk1qe12OxobGyuWF93NQa1ClKsRrdfr0d7evqMEOzExgf/6X/8rOI7D5OQkzp07V/L3fPHiRXzmM5/B+vo6Tpw4gc997nO499578z6WYZj7AfxHAEMAbABmAHyOEPK3km+eQrmNEaqtkUgEIyMj6OnpkaXSnvsamX5MaP01mUw4f/581cu0ClXdhfapU6dOwWw2I5VKYWFhAeFwuOLXywchBEtLS0ilUjh69CjUajWOH7QDAHzBJJ4f9mNyKYlIQo23vsaI8/128bkGgwGtra23ZgqDQWxubmJ+fh4mk0nMUks5cD/+3BZenWbAqEo/lqj02AwDPxsGnr7qg14VwZEuJ1wtLFobs1uUgOzEWuayN7PZLM78CQnRzBacTBWhagZ+641yfCTDMLDZbKJYjhBYrays4Lvf/S6uXbuGhoYGbG9vi4nMQuwH/8iUaJORRQOq3OVmU1NT4i9A0NqXk1QqhatXr2JoaEgckPb5fDhz5kzVvXs8z+Pll1/GXXfdlfV1YRFNT08P2trawLIsPB6PWCrMJBIHPvcjedQUAtszWJn4ieTHf+fzv1vw34SeR5/PJy6ycTgcsNlsOz6Ai2th/OXfXkYsVliVQioarQ6d7S6cO96M+843Fx0i43le/JO57K2hoQFarVbscxV+9pVoUi8tLUGn06G1Vbp2ttJEIhEsLCzgxIkTVV9rZWUFDz74IM6ePYuxsTH8+Z//Od7ylrfkfez3vvc9vP/978fFixdxzz334OLFi/ja176G8fFxdHd37/jgMgzzXwCYAPwEwDqAXwHweQAfIIR8p+qbp1BqS9U+kuM4yXsRBH7xi19Ao9Hg1KlTslXaM5menobNZkNzc7M4IC1XQDI7Owuz2bzDfi4uLsLtdot+OBaLYW5uDslkZTuECsFxHGZnZ2E0GtHZ2Snb+UII3vx+P/x+f1ZrSz4xiW8/6cb0urbq1yeEQIMEWh0E546acfaIpeCBmOd5EEJEH5m57M1qtUKj0YjVZo/Hg1gsBrvdXraS3quvvooLFy5U9X3Jzfj4OLq6uqqulHMchy984Qt4+umnxXamp59+Om/ysIR/BHKGSOvVP9ZdoBAOh3Hp0iU0Nzfj+PHjcrz8DoTD/IULFzA2NgaDwYAjR47IkiUmhODFF1/Ea17zGvFrfr8f169fF4eWOY7D5uZmwSxJIgX8xQ/kCRSCnlks33hC8uOLBQqZCPsQfD4f/H4/dDqdWG2YWo7ii9++CjYlr4EHAIZR4bWvOYb3vblb0j3mGkVhtsFkMoltX4JRFDSpXS4XbDZbwffD4uIiDAaD2OZUDwSDQaytraG/v7/qaxFCcO+99+LatWtiGbtQy9Ydd9yB06dP48tf/rL4tcOHD+Nd73oXPvnJT0rygAzDfB+AmhDyYNU3T6HUlpoGCsLc1vz8PF772tcqJoEpHOa1Wi0mJiYqliLPx/z8vFjRBG5JrLIsixMnTohtH4uLi5JlzKWSTCYxPT2N5ubmsoewK3ktIWiIx+OiQpHZ3ICv/GgDm2F5pVVFuDj+wzudaHSUTnzlJtYE+dXM+YvMxJqwzExQ0itEPQYKY2NjOHDggCztx9/5zncQCATwR3/0R0XnFUr4R0CC2kw9+MeatB5JXSgjDEl1dHTINiRU6H44jsOrr75a0cK2UtfOZG1tDYuLizh37hz0ej2SySTcbnfR4Ekjv6CC7KhUqqzSXDweh9frxT89NYGfv7IBUsV26mL09XXh3b8iTfYvV35VaLERsj3CbENra6s48Ovz+bCxsYGpqSmYzea8mtR7cUahXBiGAcMwUKvVBQ1rMpnE5cuX8dhjj2V9/U1vehNeeOGFcl7OCmCl4pulUG4DhNZVs9kMk8mkqE4+wzDY3NxELBaTbUBaILOtKZVKieIhvb294HkeW1tbWF1dle31BKLRqKigJ1fQUwydTofm5mY0NzeLvmdz24d//KEPSUaZ1ydsEg/db5IUJADSl70dOHAAarUasVhM3NuTTCYlJdbqBTl9ZOaMQqEgYT/5x7qYUSCEYHp6GqFQCBcuXMDW1lbZ7Url4PP5EI1GMTQ0VLWMXCGEwa9QKCQOmcViMayvrxfMkgTDSQAqWBs0SCeqqi+JMqjNh9dgMODF6yn87GV31UviCnH29BE8+psHK1qgIxiI3GVvkUgEm5ubMBgMYrXB5XKBYZiCmtT1ohGdSbkzCsWQKu+7vb0NjuN2VFZaWlrw9NNPS7oGwzBvAfAAgLvLvE0KZV8gxZYIA759fX1oa2uDx+NRTH1NUBgCgKGhIdkPgELiMBKJYHh4GAcPHkRzczNYlsXa2hq2trYKPnfFHUVHS3k7YYBsdSCpO5HkRKVSgTBm/L/PRcAyyrw+YWP47Tfb0NNe2Yxlvr1GmcveLBYLrFYrmpqa0NnZCY7j4POlB6qnp6dhNBqz5LnrDTl9ZCQSKfl97if/uOuBQjKZxMjICGw2mzgkJSxVUYKlpSWsr6+LQ0dKQAjBtWvXYDKZcPbs2VvZhM3NgpWV2aUw/uobl5BIpIdt7V33y3MzNTrQfvkfJvHK1TmFrq7Cfa85hod/vXS7keQr5hhFlmURCATg9Xqh0WjE2YaOjo4dmtQejwfBYBAcx9VEk1oKcmZLYrFYWeXZXKct9QDDMMzdAL4D4KOEkFfKvE0K5bZAENo4deqU2F8tCHLIrVCTSCRw7do1GI1GxbLEKpUKwWAQS0tLOHnyJBoaGpBIJLC4uIhQKJT3OYQQfP1Hs7g6Og+1Rov2FifOHmvC3eeaYDIU/xlsbGxge3t7hzpQLVlyx/D1J/wgKmWCBBUfxYff2Ygmp7RKQsnr5UmshUIhBAIBLC0tZS17E+ZIhTbe8fFxRCIRzM7OorGxEVartS4SaxzHyfZ+LkcedT/4x11tPSokR5pv4Vq18DyPGzdugOM4DA4O4uWXX5b1+gLxeBzRaFTc+cCyLLxeL3w+X8HnPHdtG9/6wVVwXPp79vt8sHXKc8avxQc0EEwgkeRgbrAgHArJGpswKhXe+oYzeOtrlRsczjQeGo1GLMFGIhFsbGyI1QaLxYLGxkbMzMzAbDYjGo3WTJO6FHJnS6QYwcbGRqjVarjd7qyvb25ulpzfYBjmHgBPAPi/CSFfrOJ2KZR9STE5UiUChUAggLGxMfT39yORSCAej8t27Ux8Ph+8Xi/uuOMOaLVaxONxzM3NFewiSKY4fO6bY1hZS1c5ODaF5dUNLK9u4F9+xsBht6P/UCPuO9+M9uZbCQ5CCJaXl5FIJNDf3y/7Pp1y8AaSaLRy2AokgBI7G8pFhzA+8p62rOVsclNo2dvGxgY0Gg2sViusViva2trQ1dWFS5cuwWq1Ym1tDZOTk2Ibr9PpVLRlrhhyJtOkyIfvJ/+4axWF9fV1zM/P55UjlbI+vhySySSuXbuG5uZm9PT0KHaQEwytXq9Ha2srUqkUtra2CmZJAOD7P13EU7+8oVi7DhjlW49sVj1+/7fSg+drm1E8c2kDY9Nb2N72g/CV/x5VGh1+6+1n8drzypQyJxdDSCQJTh3KXm+fzygKy960Wi02NjbQ19eH7u5uUZNakJYTNKkbGxtrqkm9G9kSnU6HgYEBPPXUU3jooYfErz/11FN48MHCc1cMw9wH4HEA/40Q8rnq75hC2bvk80epVAojIyOwWCx55Ujl9pGZs3QmkwkbGxuSWxClwvM8JicnEY1G0d7eDq1Wi1AohPn5+YLfizeQwF9+7RpCofwS24QQeH0+vPCqDy+8Og2j0Yy+bheGTjXCrNqGyWTCoUOHdj2jffaoDWePpucSppfCePl6EMsbPBK8AUwVdtusCeOjv9kOnU5+P0MIwTOXNnHqsB2N9lvBTb7EWiAQELdm6/V6+Hw+HDt2DEePHgXDMAiHw/B4PBgdHQUAsY23lok1Ye5ODqT4yP3kH2seKPA8j6mpKcRiMQwNDeU9SMlpBIPBIEZHR3H06NGSerfVsL6+joWFBZw9exZXr15FKBQS1Q7yQQjBX//dOK5PLil2T4AcUw7l0d5swm+9uQ9AH+JxFs8Pb+HS6BaW1jxIxGOSP6garR7vfEMPzh3SKtKL+8qYDz98LglGpcF3n3bD2cDi5AED7j3vQIPx1nsyV5N6Y2MDXq8XLpcL4XA477I3QZN6YWGh5AZkueB5XragJBwOSy6rfvzjH8fDDz+MoaEh3H333fjSl76EtbU1fPjDHwYAMAzzSQBDhJAHbv79fqSN4EUA32YYRigVcYSQws3JFMptglBpP3jwYMHMo1w+UlgAGolEcOHCBdGGqFQqWQMRYWjZ4XCgp6cHW1tb2NzcLDq0PLMUwpe+ew3JpPTKRiwWwfhkBOOTSxktSlrcc64RxhItSrXicHcDDnenk6P+YBIvjPgxsZREMKYBo5aebW9QbeN9b7ABkF84hOV4fPYbY1hZ3cAPnwTMDRYc6HLiztPNOHnYVjCxlkqlMDY2BpfLhRs3bkCn04nyq52dnejt7UUqlRKXvYXDYXHZm9PpVDSxJkVQRyqRSETSvq394h9r1noE3FrL7nQ6xUgzH3IZQUFF6ezZszsOPsIG5WqzsJnlYWFoub29Hc888wwSiYQoGZoZOUfjHP7n/3MFm5s7txVnXBmyHPN3MZNiMGjwwB1teOCO9KbDaze28PQLC3B7UggGQyikLGgwmvH77z8LV0MSGxsbmJubg9lshsPhkLzIphg/f3UbT13mxSU3jFoHX0yHX14Hnh31Qa+J40CrGnefseJg1y1jsLa2Bp/Ph+PHj4uzDYWWvfX29uLgwYM7NiBXokktBY7jZFMmkWoEAeDd7343PB4PPvGJT2B9fR0nT57EE088gZ6eHuEhbQAOZjzlEaR1oh+7+UdgEUBvtfdOoexlBJ9VavGnHD5SqFpYrdYdixUF+yYH0WgU165dw4EDB9DS0oJYLIaJiQm8+uqrMBgMol3PbK16/toW/t/HR8FXUZEu1KL02sFWtDXK08tfLXarDm++pxlvBsCyPJ55ZQljCyxCcRM4Rp/3jEQIQW9TDL/5+k74/X7MzMyA53lxZ4PZbK4qIRVPcvjM3w5ja+vWJuxIOITRGyGM3liERqNFa4sTp4824Z5zTeJeo1QqhcnJSbS1tYmDvrnL3hoaGkQlpaamJjAMIybWlpaWoFKpxMRatd+HkkhpPQL2j3+syR4FoU9/bGwMR44cKalfnEgkMDo6isHBwYpeL/PwfubMmbwHy5dffhkDAwNVHTo5jsPo6Ki4h4HneYTDYWxsbIAQApZlxQ+JcPhi0YAvfn8a0UjxTZM9p96RtUa+UiLBVSyM/EDy46XuUSiXUCiE2dlZHD58GGazGR5/HM9c3sDoxDbcGz5wXAoAYGqw4Y8/NIC2xluHXkIIwuGwuLNBpVLB4XDA6XTCYDCUZUz+5blNPH9dJf05fAItdg69TUkcbEni+PGjBYPLUsvegMo0qaUwNzcntjxVy9NPP43nnnsOf/mXf1ntperTylMo8lG1jySEIJFIiJn9U6dOlRy6nZiYQFNTU8UKM4Li0IEDB/IujvT7/VhdXa16gaPX68WNGzfEoWWWZbG0tIRAIABCCGKxmGjXAcDhcODZazG8cHkeMh0/dnCwrwMffd+xujqEEkLEvRF9fX1QqVRYcUfx4mgAc+scYqwejEoNwvM43ZPCOx9oy3q+cNbw+/2idKfD4RCXqEklEmPxqa9czbsINi8MA5vVioPdTnQ6Yxg83VVQJKbYsjdhaWsikYDX64XH40E0GoXNZoPL5YLD4ag6sfbKK69gaGioqmsIvOMd78B3vvMdOXYp1c+bsAg1qSisr69jdnZW7H8sRTXZEkFruqGhoeiq+dwV9eUSj8dx7do1dHZ2oqOjAyzLikNaAhqNBo2NjaKk5ssjbnzzn64rsoisMLuvbez3+7GwsID+/n5x+7HLbsCDD/TgwQd6kGI5vDLmxfCED7/16wdgt2S/LRmGgcVigcViQXd3N5LJJHw+HxYXF8VFNk6nE1artWiF6PtPrePqXJmbMFV6bASBjaAJL01zML+ygkOdWtx3zoH2puysVO5sQyKRQCwWw+bmJnQ6nRg0HDx4UJTLzdSkttvtaGxsrEhtZLcUHSgUSnXwPI/Lly/DbrfvyOwXohofubW1hampqaJbneWoWKysrGBlZQUDAwPQarVIJBKYm5sT23EZhoHJZILJZEJHRwfi8Tgu/v0kFpY3q3rdYgydO4j3v+WAYtevBJ7nMTs7C4PBkDVD2dlqwkOt6fNSNM7ixVE/NCrgtQNtO66RedYQEmt+vx9ra2tQq9Vi1Ubwv/nwBRL49FevIhIpPFO5A0IQCARwZTSAKwCefNGPznYHzh1rxh2nXTDobh3uc9t4hb1FHo9nx7I34QAeCATg8XgwPz8PrVab1cZbDnK3L4fD4ao3PO8lahIoWK3WrP7HUlRqpIRV8729vWhr2/lhkuM1gFtDy8eOHYPNZpM0tPzTF9z44U9Hy1hEJk82ZbezJltbW3C73Thx4kTBLJlWo8bdZ5tw91lpmzJ1Oh1aWlrQ0tIiSs/6fD4sLCxAr9fD6XTC4XBkqSt87cermFrLX8qVCqNSI8qaMbIADM+HoYIHHU4eg8csuHBiZ98mUHjZm8FggNlsRktLS0lNaiktRcIqeTkIh8OSW48oFEp1qFQqHD16tKyDh0ajKVsZkBCChYUFbG1t4cKFC0XVZ6pJpBFCMDk5iXg8jsHBQXGYdX5+vuA9R2Is/uJrY/B4CqsDVgPDqPCWB47jjXcVPxfUGpZlMT09DYfDkbeyI2AyaPDABWnV4szEWldXFxKJhJisS6VSsFgscDgcsFgsop9yb8fx2a9fQjwWq+r7SSbjmFtYx9zCOn7wpApOpw39B9LtXq2NxRNrkUgka9mbEDT09fXh0KFDiMfj8Hg8mJmZQTweF5e92e32kkkyuReSJhIJRZcC1xs1CRSEkqNUKjnMbW9vY3JyUvKq+UoNYebcg8FgQCqVwsbGBmIFPmCEEHz1BzN4+cpMWa8j04SCbFephNXVVQQCAbGnXwlUKpXYm0kIETdET09Pg+M42Gw2/OhFwB1skFe2lWFAYMCKD2Amw7hwovB7LtdACdWGaDQqLnsTqg1Op3OHJjXHcXA4HEU1qeWUR41GozRQoFBqBMMwsFqtZQ1blpvo4jgO169fh1qtFmfpilGpf2RZFsPDw7DZbDh9+jR4nofH48Hy8nLB7291M4r//c2riMWU2Z2kVmvxgXeewbl+hyLXr5RkMompqamsnn4l0Ov1YmKN4zgEg0F4vV4sLi7CaDQikjTi7348h1RK3iW3hPDweHx4ORjGwHEXgMLVjNyggWVZeDwebG1tQaVSoaGhATabDU1NTejo6ADHcfD7/dje3sbMzAwMBoOYWMtXNZGz4g6kP7P1volaTupDBqAKhN6+zc3NslbNlzusRQjB3NwcfD4fBgcHxXXmGxsbSKVSRZ87dLoZiRSH6blt6WU9QmSaZS7vInINeC8sLIBlWfT399fsAyXMBXR0dKCjowOJRBJ//b1V+OP5y+tycKg1jt95W2dZz8m37E2YXdBoNDCZTDCbzWhvb0d3d7c447O2toaJiQlxe3SmJrXcGtFKKoRRKJTqUKvVJf2OgNAmK9gTqdcvt+KeWdFvbW0Fy7Jwu93Y2Ngo+jynVYc33H0Q125sYm3DC46V9n1JQW8w4iPvP4futvpqpYzFYpiZmUF3d7ekxKZcCG1IDocDhBAMT27jG/98XdafeSZarR4f/XcD6Cnj558vsRYOh8UlfZnL3g4dOgSVSiUm1iYmJpBKpbISa0LQK1cijRAiq4LSXqCmqkdyw/M8rl+/DoZhJGVJMilH/o3jOIyNjUGn0+HcuXNiD6AUrWmGYXD6sA2nD6eNwdpWHD97aR3Xpzfh9fpBSKHny/RGLDtQIFCpgHA0ie//dAGnj7bg3FEr1Gpp1+F5HjMzM9Dr9buqX82yHD77XTdCSWWCBEIITnQn8f5f66jqOvk0qYUSrNvt3rHsrZAmdSKRoDMKFMoepdBS0kKo1WpJC9H8fj+uX7+OY8eOwel0Sr5+uRUFn8+H8fFxcWg5lUphaWlJ0lCs0aDBG+9qxRvvagUhBFcnfHhpeBMLK9tVtcJYbTY89ttnYbcos+Drucur2PAR3H2uCa0u6W0o4XAYc3NzOHjw4K7a2asTPnzzB2PgeXmX2wro9EZ8/JHzWUvwKkHKsjebzYbW1lZ0dXWJbbxutxtTU1MwmUyKVMh3u627luzZioKwar61tRXd3d1l/9KkGkLhdYSNg5klr0pobzLg4bem9wxEYiz+7dVNXB7bwPqGR5GonimzLMETYGM7jM989SoCwTBevDQLrVaHrs5GnDvWhnsHXDAb8kfmHMdhYmICDocD7e3tctx+RbAshz//xhrinDJGmBCC8wdTeOgN8n+PpZa9CdWGrq4uUZPa4/EgFovh2rVrokpENZrUUqXfKBTK7iAl47+6uoqlpSWcP3++bFW1chJpwtDy+fPnodPpkEwmRTnocmEYBuePOXH+WDqoWVgN45dXNzE5t41gIAipCbRGlw3vvM+KRNSHpN4h+zbgf3p6Bv/20gIIIfjFizdgtVhwoLcRF0604OShwkvE/H4/lpeXceTIkaKDxUrz6pgH3/qna0USldVhMJrwhx8cQJND3u+x2LI3QoiYVHM4HDhy5AgYhkEkEsHa2hqCwSAuXbokLnuzWCwVHfYFVcPbiboNFIrtOchcNV9pb58UQyssa+vv74fdbgfLstje3kYgEKjoNXMxGzV4y33teMt97YjF4viXn09gbh1YcQfkK22VKbE6Pb+NL33/OuKxW/2KqVQSc/NrmJtfww+eVKGp0YHjh1rw2sEWdLakDUEymcTExATa29t3vW1Fo1Hjg29txC+v+jC1wiGWSkvLyQEhBHcd5fC2+5UfisunEiGUYAGI8quCmsW5c+fEakM1mtTl7FGgUCi1p5j/EjYgJxKJskREMpFSnRSWtUWjUXFoORKJYG5uruxB60L0djSgt6MBwAHMLqzjl5c3sbLFY9vjK7hj4dSxHvzug4cRj8d37BlwOBxVL778+g+v48rYWtbXgqEQro2GcG10HjqdDp3tLpw51oq7Tjlg0Kftt7Bkrr+/v6T8rdKcP+YAw5zDK6ObWFzxyDofYjI34D9/8DwcNuWHfQspDbrd7qxlb8I5sa+vDz6fDysrKwiFQrBYLGJiTervJBaL3XYV97oNFARDmGuwclfNV0qpisLGxgZmZ2dx5swZGI1GsCyLjY0NRKPyD1xFIhFMT0/jV+49IMrVffofNUjJYGvLNYif/9Y1cFzhnwvheWxuerC56cEzL4zDYmlAb5cLHS4WrxvqhtNpr/KO5aGj2Yj3/Eo6ixZPcHhu2Ifh6Rg8QTWgrsyAEZ7Ha08Dv/qaqrWT88JyHL7yT+twWtW475yjpEqEsOzN7XZjaWkJbW1tsFqt6OnpwYEDB8Rlb/Pz84hGo+Kyt1Ka1LT1iEKpLeXa6UKBQuYG5P7+fsUyn4IMucViwZkzZ0Spy6WlJdkWtQkQQrC8vAwuGcfD7zgJtVoNluXw0ogXl8Y2sLzmTQ/iMgxef3c/3vG69MyY0WiE0WhEW1ubOAe2traGWCwm9riXktTOhON4fP7bw5hbLN5NkEwmReWfHz2pQlOTA91tDTjcTnDhXL9iwh7loFarMHjCicET6crN6mYUv7yyiYnZbfh8gYorDRaLBX/8u4OwNChztByZDuD54RBOHTJh6IQNOm1x+VW/3w+v14vt7W1otVo0NDSIMuQMwyAUCsHj8WBlZQUMw4jVhmKJtXA4XNXZcy9StzMKgiEUorzM7EWlWZJ818+FEIL5+Xl4PB5xaDmRSGB9fV3y8Fg5CKvMM3cMAIBaxUCZ8aLipNgUVIx0QxYKhTE6HsYogJ+9tCWpRanWGPRqvGGoEW8YSv9+x2dDeHEshKVNghSRtrCN8DxOtK3jYJMRHo9K9s3KLMfh03+3inDSjCUPcHUuDDW20e4CLhxrwPl+K9TqWw5NMIqEEMzOzqKzsxORSAShUChr2ZvL5RJl96RqUtPWIwqlvsnnv8LhMEZGRnDo0CE0Nzcr9tpCm2NPTw/a2trAcRw2Njawvr4u+2txHIe5uTno9XocPnxYtNUajRr3nG/CPeebQAjBjfkgkkkeZwsoG+XuNBKkqoXhWEE5r1BWORpP4rNfv4bNrfK6CXjCY2PTg41ND14dBv7lOR8O9DZi6GQLThws3KJUazqaTXjPr/YC6EUszuKF4W1cvbGNNbdH8t6nBksDHry/AcHABlSMverKTS7XpgL4p+cSYFQm/Owa8PQVL8y6BA60a3D3aXvBxJrH44HX68WRI0ewvr6O1dVVcdmb3W5Hd3c3+vr6kEwmRTWoSCQCq9UqJtYyz5u3Y8W97isKwK1V8zabDWfPnpXlzZevosDzPMbGxqDRaHD+/HkQQhCJROB2u2XPkgDpRXQejyfvjgGVTJ+v8rc7V97yVKhF6Y2vaUOzQ5mBsnJhGAYnDllx4pAVsVgMl65OYjXkwuwaQTihB6Pa+ZEgPIdfv1ODu8+cQigUEkuXGo0ma0N0pbAsh0/93SoiqVtZfIZhwMOIFS+w8jyHHzy7CZspieO9erz2vBM2ixYsy+LGjRtob2/PasErtOzNYrHgwIED4rI3r9e7Q5O6oaHhtjSEFMpeIjdQ2NzcxMzMDE6dOqVokC8MLZ84cQIWiwWpVAorKytZi0blIpVKYWpqCo2NjUU34DIMg+MHpCsH5UpqR6NR+P1+TE5Oiv/mcDjEuY5tTxif+7sRBEORqr+nHS1KHS6c7W/D/YPKyaOWi9GgwQN3tOL1Qy1YXV3FxHwIC5tqzC55EQnnV210uZz4z797FmqGz6rcCIdxq9VaVWLtyoQf//xCMss/p/camTC2BIwuRqCGF20OHueONODs0XRizePxwO12o7+/P+uwn7vszWKxiFUmIcgOBoPweDxYXFyEWq2Gy+WCxWJBMBi87SrudR8oCFmSQqvmq7l+5uE/dzia4zgEAgFsbW3J9poCmfKhx48fz1v6ZBiZNinsUsZCaFFKcAbcM1CdMpASCO1e588cxr03P/Qsx+Gl0QCuTETg9qsBlR6EZ/HgvXoMnrADSC8PFNp74vE4fD4f5ubmxM3KuYtsSpFMpSsJUba44WHUWgQTWrw0Cbw4EYCWicFhDOE1p5w71ExKLXszGo1oaGhAc3Nzlia12+3GI488gmQyie9///t4+9vfjq6urqL3dfHiRXzmM5/B+vo6Tpw4gc997nO49957C38fDHMKwN8AGALgBfD/APgf5HbTm6NQqkDwj4Jst9frxeDgoOxDu5lktv3q9Xokk0ksLCwgEqn+AJ1LNBrF7Owsurq6YLfbZb++AMMwMJvNMJvN6OjoQDKZFCsNyWQS4bgGP/i3LSQS8u4YANItSvOL23A45TvXyAUhBEtLS2BZFg/cc6uFbdufwC8vb+L69LY4J9LS3IT//MFT0GjUANRoampCU1MTeJ5HKBSC3+/HysoKtFqtGKCVk1i7dN2Pf3k5lTeJJ5BOrBmw6gdWX+Hx4xe30KCLo9kSxa/ff3BHB0puG284HEYoFMLy8nLWsrfe3l4cPHhQbOP9+te/jq9//euwWq34yU9+gvvvv7+oUMB+8Y9MideX7ebK/aCNj4/DaDRifX1dkSzJ2toaEokE+vr6EAqFMDIygqNHj8LhcIDneVmHljPhOA5TU1Oick2h6shf/7Me4Vj1cpepRAhTr35d8uONlhaoGHnix6bWPvzB+w+j2VEfLUgCwWAQc3NzOHr0aNEP+fxaBGyK4HBP6ey6EFj6fD6EQiEYjUZRr7pQOTuR5PCpv1tDnKuy35FLwGlhcfqQEfeedcJYpOVLCBx4ngchBA0NDWhtbYVKpRKXyNx111344Ac/iCeffBIf+MAH8L73vS/vtb73ve/h/e9/Py5evIh77rkHFy9exNe+9jWMj48Leu1Zb26GYawApgA8C+C/AzgK4OsA/hsh5C+r+yFQKLuCLD6S47iyBoB5nsdLL70Ek8kEvV6Po0ePyr6v5oUXXsBdd90FAJienkYkEsHJkyehUqkQiUQwPz+vSDtuIBDA0tISDh48uKu94JfH1vHtH0+CVWjHgEpjwD13nsK7XmdX5PqVIrRfq1Qq9PT0FDyjsCyHa5N+nOt3ZLXFFkIYLvf7/WBZVjyMNzQ0FHzvvjTqw5OvslWJkRDCQ8sk0NnI4MKxBhw7UFjtSPCLhBBRTKenpwc2m00MLp544gn8wz/8A7q7u/Hyyy/jmWeeydsKL8E/Ahk+sp79Y10GCoQQvPLKK2BZtuSq+Upxu91iL7ZQsjWZTGBZFpubm0WzJD/+5Ra8/hTuO2dBX6f0ACaRSGBychJtbW1oamoq+tjP/1iPYFSOQCGMqVe/JvnxcgUKnb1H8fH39cJiqq/thYFAAPPz8ztmQuREKGf7fD74fD4AgN1uh9PpFPs244l0kJDg5XWEhOdh0MRxoF2NB1/fDJOh8O9SpVKho6NjRxvenXfeicnJyZItfnfccQdOnz6NL3/5y+LXDh8+jHe961345Cc/CewMFP49gE8BaCGExG5+7f8P4N8D6NztrAmFUgG7EihEo1E8//zzOHbsGDo7y1v4KJUXX3wRAwMDuH79OsxmMw4dOiTKUS4uLhZsxw1HkvjuT+ZxpNeBu864sgZOS7G5uYmtrS0cPnxY0epIKf7tpSX86Olp8ArJh2p1DXjj/Sfxq3fU1ywYz/PiTEhnZ6eiw/BClVsYDhaqDcKh+/lhL566zMmmWChAuCScDSyGjptx56ni27obGxvR2toqBhAA8N3vfhczMzP4q7/6q6LPleAfgexAoW79Y81aj6QulBGWm/E8j4MHDypmLFQqFbxeL7xeLwYGBqDRaJBMJrG+vo5kMv/wDs8TfOVH65jf1IFh9JhcT4Iha+hw8Rg6bsbAMXvBD5bQ6nLgwC1lo6L3J9fns9wPugwdT4ePnsTH3tsJvbY+BrUEvF4vlpeXcfz4cUWdUGY5u7OzE6lUCn6/H6urq4hGo9DqzPj+czqkoMASGJUKCd6EbX8URn1hA6vRaNDR0ZH1c+B5Hv/n//wfUZ+6WE9pMpnE5cuX8dhjj2V9/U1vehNeeOGFQk+7C8AvBSN4k58C+B8AegHMF//uKBSK1+vFjRs3xMOckly6dAk9PT1ob28Hx3HY3NzE2tpawcevuMP4/LeGEYtFMXpjCT98Uo2mJgdOH23CvQMtsFvyV1cJIVhZWUEsFkN//+4qA/3T09P4+YuLkDFPmoXOaMdv/MoJ3H2qvpRzeJ7H9PQ0LBaL4nuQNBoNnM5026wwC+r3+zExMQGGYbCwZcKrcxbZgwQAYNQ6eMMMbObi125qasr6fPE8D6/Xiy9+8Yt4//vfX/S5+80/1tWMgrBqvqOjA1arVZEBYiD9C19aWkIikRBLq9FoFG63u6A2dTzO4XPfX0cwbsw6exNGnx44fY7HD551w2VhcfawAXefcYr6yT6fD4uLiyVbXTKRLZCv4YwCw6hw6sxpPPpgK9SyRTrysL29LfYJVquYVS5arVbs2wxHU/j0t9bBQrlhqMaGKP7gvYWzQWq1ekeQQAjBN77xDfzrv/4rrly5UtJRb29vg+O4HUOGLS0tePrppws9rRXASs7XNjL+jQYKlNsSqZnb5eVlrK6uYmBgAFeuXFHsfoRM75kzZ+ByuZBKpbC2tlZ00ejVCQ+++cPRrMWhPOGwsbmNpza38dQvJ2C3W9F/IB00dLWmD8qFlI12i74uB054U1hY9SMSiQIyJnJNlka89y3HcObQ7i1bywfHcZienobD4Sg6OK4EDMOgoaEBDQ0N6OzsxM9f2cCrc2owMrfSCRCOxbvuN+LYgcIJ28bGxh1BeCgUwnve8x782Z/9GR588MGir7Hf/GPdBAqCmsLx48fhcDiwvLws29KWTJLJJK5duwaLxQKDwQBCCILBIDY3Nws+Z9ObwN/84zZYUuKQr9LBE9HdlO7ywGJIoLsxiYPNYQye26lsVIyyxYoKXafcC1VoFFVqLe664yz+3ZsbFYtNvvPkGggBXnvegc4W6ZtGNzY2sL29jePHj+9qpiocY/GZb7sVDRJcpgj+43sLz76o1Wp0dnbuqKh861vfwg9+8AP8+Mc/LqslK/d1CCGlHH3uG4wp8HUKhXITnucxMTGBVCqFCxcuKGrH1tfXsbCwALs9LXGZSqWwsLCAcDhc8DlPPreCnzwzUaJrgMDvD+ClKwG8dGUGJpMZfV1O9DSyOHu8UVaxkmo4c7QRZ46ml4YurAbx/FU3phcD8PvD4LhUxYGMxd6G33nnERzsUKaavbYVw49+4UF/rwF3nbLDoJd2vGNZFlNTU2hubt71Zak/f3Ubz44pGCTwLN71Wj1OHiwcJLhcrh0iHqFQCL/5m7+Jj370oyWDhEz2i3+si9ajzBXwQsZd2F8gJ+FwGMPDw+L69JGREUxPT4MQUnCYZnwujG/9axBQlZcBYFRqhJMmjK+ZcH3Vhp+ObOBgmwr3nbOip710y4maket9UZ5R6z/UhvXtBELhCCCxP1OjNeLcyU7cfcQHr5eRfccAIQR/8/0VrAfSGaixpQhUxIuORoI7jltw/pi14IdvbW0Nfr9/18vZLMvhM99aR4ooV252mqL4+PuKBwm5lQQgPXT13e9+F48//rjk4cHGxkao1Wq43e6sr29ubhbLSLmRzoxkIgi+b4BCoexASG41NTXh2LFjWZ9vCQcPyRBCMDMzg1AohMHBQYyPj2N+fh7xeLzgaxBC8LUfTuPa9cWyXy8ajeD6ZATXJ4GnXvGiq2MbgydbcOcpFzSa+pht6+2worcjfagMhBN49tU1jM/6sbEdQCqVkuxdbc5O/MoFNfRkE5FI9duhc5lfCeObPw0DahM2x4BfjPhg0iZwsEODe8/a0ezMf35JpVKYnJxEe3v7DvW8WvPSqA/PjkHRIOGd9+px8lBhKV2n05k5aAwg3Tb+nve8Bx/60Ifwnve8R9Jr7Tf/uKsVhdxV85kHuWIr6itha2sL09PTOH36NEwmEziOg9Vqxfz8PILBIEwmE5xOZ9bW2p+/6rk5TFPdKnKGYZDkjbixCtxYTUCFADpdBPeetuDE4fxvWvn2KJR3off++kF0tjlxY2YDP/3lPDZ8BF5/CBzL5r2WVm/BO371DN54oUHcMbC8vAydTif+PPX6yn9+HMfjs99dgS+avWOAMIabLV8s/uEXbjjMKZw6aMRrBxwwGTRiz2s0GkV/f7/siiDlotGo8bF3t+AXl324sZhAKJ5/Z0OlOIwR/CcJQULu7+IHP/gB/vZv/xaPP/54WdrQOp0OAwMDeOqpp/DQQw+JX3/qqaeKZVxeBPAphmEMhJD4za+9EcAagAXJL06h7DMKfW6DwSBGR0dx5MiRHQIYggiBHAkQjuMwOjoKo9GIs2fPgud5tLa24urVq9je3gbLsuKwqbC1Np5k8dffHMPqevUS4qlUQtxm/A9PqNHS7MTp/ibcP9gCs7E+Gh9sDXq89XV9eOvrgGSKxRPPTGB6MYYtfwLxWByFkr4tHYfwHx7qhtmQHgSvZjt0PsZng/j+MzEw6lsJIEalRoy7tWNAAw86GoELxyw4cTCt+pNIJDA9PY3Ozk5FJWilcsdJO+yWMF4ZC2F5myBF9BXsgcoP4Vn8xj16nC5w3gLSQUJPT0/W12KxGN773vfi/e9/Pz7wgQ9Ifr395h9rpnqUSqWyZg6SySSGh4fhcrnQ19e3w1Bub2/D4/Hg6NGjVb0uIQSLi4vY3NzEmTNnxKFlt9stViyEYRqPxwO/3w+tVosXJo2Y3Swso1UtPBvDb95vwvnj+aP4r/6rDm5f9Q6A51O48cKXJD/+f/3xb8BqVmNhYUFUBgqGk/j5y2sYndzG2mYAqVQSDACDyYH3veM07jyxMwsdj8fh9Xrh8/nAcZyo+lNsNXouiSSHv/h29iKyUqRVf2JosydwqofHnYNHdr3nNR8sx+GVsQAuT0Sw7kvvbKgUhzGCj/9WZ0GJOkHdKLel6F/+5V/wuc99Do8//jgcjuLqD/n43ve+h4cffhgXL17E3XffjS996Uv46le/iuvXrwuyev8LwBAh5AEAYBjGBmASwDMAPgHgCNLyb3+22/JvFEqFyOIjCSE7RDTcbjfm5uZw+vTpvAsQX331VZw5c6ZqYQZhNrCzs1Pcq7K9vY2VlVvt0izLitKW0WgUvMqI7z/tQTiUfwGXHLS3teEPHj4mzvrVCzzPY3Z2FgaDQVQGuj7jxcujm5hb8iMUioDnOTAMg+6+Y/j9hzpg0DM7riGo/gSDQVFOO1P1RwrpHQPJspJOhEvCaU6huSGAN9zViUaXXfJza4kvmMRz13yYXE4hnNBVnFgjPIt33KPH2SOFgwSHw7FDCjYej+O3fuu38Pa3vx0f/vCHyz5HlPKPf/Inf4L/9b/+18/3gn+sWaDAsqxYIQiFQhgdHS26at7n82F9fR3Hjx+v+DV5nsf4+DgIIeJ1YrEY1tfXC1YrUhyPz39vBdth5frICRvG//UOJ3rbC0ujfe1pHdY8cgQKLG688EXJj/+jD70WaiaO/v7+vDMVLMfh+SsbuHrDizfecxgnDpQ+4ApOxuv1IhqNwmKxwOl0itrE+QjHWPzFt9eRrEI+lBACFRLocJVuUdptFtYi+OXVAGbXOSRYg+Tyq4Hx4p2vScJ1s3qTGwwUChJ++tOf4lOf+hQef/zxrK3O5XLx4kV8+tOfxvr6Ok6ePIm/+qu/wn333QcAYBjmGwDuJ4T0Co+/uVDmC0gvlPEB+BKA/06lUSl7FNkDBaEFKBgM4vTp0wVn265cuYJjx45JFsjIRyAQwNjYGI4dOwa73Q6O47C6ulp0aHlizo+vfH8EyZT8S8gEjvf34fcePAhVnYlisCwrDv0WmqnY2I7il5fXEEro8fCbO6HRFP8eMuW0haWYQtBQ7Hf77BUPfn6Nr27HAM/BpE3gUIcG9xRpUdptWI7DpfEgrk1HsOlXg0hMrBGOxfnuTZw+3AC73Q6LxbKjAicsVss8GySTSTz88MN4wxvegI9+9KMVnxuK+cdHHnkE3/jGNxb3gn+seaCwsbGB2dnZglkSgWAwiMXFRZw6daqi1xMqFo2Njejp6RG3BG5ubhaclQiGWXzue27EucoNbym0JID/+FsdsFuKv9G/+TMdlrerDxQI4TD+/EXJj/+dd57C6+4bVKyfX/g9eL1eBAIBGAwGsUVJcIjeYBJ/9feb4CDv7yGtn5xuUXrdoBN6XX1lqoD05+TKtetY8dsxs8bAF9FmlZQzsRkieOx9nUilkmL1RmgRcDgcsNls6Ozs3BEk/PznP8ef/dmf4Yknnii5z6NK6svLUyjyI+uuIZZlMTo6CpPJhCNHildDh4eHcfDgwaJ+tBhutxvz8/M4ffo0DAYDWJbF4uIigsFgwec8d9mNf3hyHDwvX1twFgyD++7sx7veoKzsayUkk0lMTU2htbVV0aHfZDIp7uBJpVKw2WziIVd4Pzz54hZemmBka80B0gGLBnF0NAJ3nbKiv7e+djwIbG9vY2xqA+tBOxY3COJc/sQa4Tm87TVanD1izare6PV6sY2uubl5R0dLKpXCb//2b+Ouu+7CY489pnRycU/4yJo1/xFCMDs7C5/PhwsXLpRUAKpmRiEcDmNkZASHDh1CU1MTWJYVD1KFWFyL4f/82AfCKBckWPUB/Mf39kg6oDKyDTOXZ0h6+noVHfpVqVSw2Wyw2WwghCAWi8Hr9WJiYgIAQFRW/P0v1YBK/t8Do9bBF9Ph2kwEb7hD9stXDcuyGB8fx6EDXRi6OVhGCMHwVBAvjYWwss2Agx4Mw8CqTwcJarUKarUB7e3tota53+/H9vY2QqEQYrEYGhsb4XK5oNPp8Oyzz+JP//RP8fjjjysdJFAolDKIRqMYHh4W9xaUQqPRVOQjBV8cCAQwODgIlUqFeDyOubm5ogIi339yHs+9OgulBFhUKi3e+asncd/A7irv5CMWi2FmZgbd3d2w2Qq3sMiBTqdDS0sLWlpa8P+1d97hUVZpH75n0khI7w0SEhJ6L4oNFUWRklBFV1DX7qLu2tbddVXU3f1cV3fdXduiWLGRIN1VsYCIIiX0kgQIENKT6X3eOd8fbEZC2iSZSYFzX1euCyYz856ZzJzn/M55nuenKAp6vZ6amhpKSkoICQlhW1EAhytCvb6AValUKARzvNrJMJOPhGAHqampoaqqikvGD3CnaBnNTrbs0XKgxIrW5I/KLxDhUpg+IYDRAyMB3MJACOF2iK6srESlUuFyuYiLiyMsLAyXy8Udd9zBmDFjOkMk9Bg6TSgcP34ch8PB6NGjPSrcaa9QqKmp4fDhwwwbNozevXvjcDiorq7G0EouZUSoP2Oz/Thw3ITBEoTaz3tvjcsl6Bdn4s5ZjWsxmsMDR3SPaPMHXXSm74KKkJAQQkJCSE1NpfiEnqXrjODXseLxlogJMfHrG5rP5+8q6kVCampqg+4TKpWKkQMiGDngdHCqrLWy7aCeayekNPka/Pz8iI2NZfjw4QQHB2MwGKiuruaFF15g8+bN6HQ63nrrrU7vlS2RSJrH5XKxd+9eBg8e7PFC1M/Pr80txOsNTQMDAxk1ahRCCAwGAyUlJa0+V/++4VRrUyg5WYvVYvbqIiogMJhfzhnBkMzut4ttNBo5evQomZmZbWr44A38/PyIiooiKirqtNfN2lJKarzbMelMhOJk5qVBjGghn7+rqBcJ2dnZDeo4QkP8mXxhLJMv/N/GWpEef7Vfk92NVCoVwcHBJCQkkJGR4d5EPnr0KLfeeiu9e/cmMzOTRYsWSZFwBl1So+Dp/Xfu3Mn48eM9fszx48epqKhgxIgRBAQE4HA4qKiowGq1tv7gM7DaFDbv1lBQaKbO0Hzqhye4FCfjBjiZfWVKmx730aYAjpR7R6zs3/xvPP1TPvXraWRndn4/64NHDbz7ubFD73VrJIabue9639nStxeHw8HBgwcbiYT2oFKpSE5ObtTm9KeffuKRRx7h+uuv58cff0Sj0fDVV1916FqeDMfXF5BIuhivph61haKiIiIiIpqt8zsbq9XK7t27SU5OJjU1FUVRqK2tpbS0tBX/gyauXaJjc0E1RSWnTy47MqWGhIbzwIIRJMX6Jj/e6VRYu7maoRmh9O/btjQtrVbLyZMnycrKapO/jLcRQvDGqjLKtL7LeBCKg+uvDGFQv+4n1poTCe0hLCyMjIyMBhvWiqJw3333AZCamsqGDRtYtGhRqw7MXqBHxMhO9VFoC205Uag3o3E6nYwdOxY4PSmWl5e3y7StV5AfV42P5arxoCiCbQe0/HTASEWdGvw8nywUp41Rfaq4IDsWi8XSpqIzr3bzVKk8NlJTuqBmZscBHXkbLT4VCX1jLNw9u0/rd+xk6kVCnz592tV56ExUKhVJSUmNRMLOnTt54IEHWLlyJf369QPwmeu5RCJpHy15DTVFW2JkfZvVgQMHEh0djdPppLy8vEWj0ZbISo8gKz0C6E95tYWNOyo5WFyNRqOjLdopIjKKeZMiCFSZcDr9O7wIPBuj2cm/8yqwuULYXWJH5SonPlJh7IBQRg0Mb/Fkubq6mqqqqmYbe3QWiuLi1bwyai2+8+ARip0Fk0PJ7NO+ehdf4k2REBoa2kgkuFwuHnroIaKionjhhRdQq9U8++yzMkaeQbcVCp5Omg6Hg127dhETE0N6ejoulwuj0UhlZWWbd0maws9PxYXDorhw2Omjv10Ha/lqezUacyguVXCzr8vlNHHrlAgyU4eg0WgoKSnBZrMRFRVFdHQ0oaEt5xj6eVFnqlB5PHV3RXF9Qkwgg9NMHCkzt6njj6f0T7TyyxndrzjOFyLh7KPxPXv2cO+995Kfn+8WCUCX+0pIJJKG+Eoo1DcQGTFiBMHBwdjtdk6cOIFOp+vIcN0kxQUz/9p0IB2twcb6jUcpLNGj1ZlaLHrO6NeHe+dnYbda0Gg0lJWVERAQ0Ki5RXuprLWyZHUtiurnBbZQB1Gph3XbXKz9sZrI3g6G9uvFxSMiCe51ejkkhKC8vBy9Xt/lRp31XDA0lJ2HjVS2oeOPx7js3HpdGGlJnZtW5QneFAn1aUVni4THHnuMgIAAt0ioR8bIn+keTibtxGQyuTs/xMfHu9tw1tbW+uR6Wq0Wlb2UX80dQHBwMMfLLWzcqeFomQubEuRe4KoUA7+Zl0BC7OkThPj4eOLj492FphUVFZhMJkJDQ4mJiWmyTag3P6MqlR9CeLbz5KEZs1dJTQhmwXWn3yuDycG3O+vYf9SGzhyIyq/9wUIIwdC+dn4xpW1pX23heJmZQ8dNXDYqmuBengcUb4uExMTERiLhwIED3HHHHXzyySdkZWV16BoSiaR70ZpQEEJw9OhRNBoNY8ee7mRns9k4duwYFovF6+NRFIWaypNcPCyEG6YOxGZX2LK7hp0HqjhVXofidPzvnirGjcpiwbTT5laBoaGEhobSp08fLJbToqGwsBDAvbHW1rSf4hNGln1pBL/mT/FVfgHorAF8fxA279fQO9BGVqo//eLMhPYSZGdnd4vFop+fmnFDIhk3JBKAI6VGftir50SlwN5BUzKVy8YdMyJJivVdStOXP9aQEhfIoIy2+VJ5WyT079+/kUh48sknsdlsvP76693ib91d6bQaBZfLhcPhaP2OZ7BlyxYuuuiiJn9XW1vLoUOH3EXLiqJ4VLTcXioqKqiurm72GLJWa+fbHXWcqrFxR06Ke3eiOc5uExocHExMTIzbcGX1Vn/2lnjnuPPgltdxueyt3xF47N4pDB/ku4V1W3AqClv36th+yESltm2mZEIIMqKrmH5px92hm+NoqYkla3So/IIQLhfB/lay+vgxcXQUyXHNT7y+EAlnt0g8fPgwN998M8uWLWt3i+HW2LRpEwUFBVx66aWMHj26yeH55MISSffBZ6akrVFeXo7FYiEjI6PR7xRFYf/+/fj7+7tNS41GI8eOHWtXOm5rOBwOioqKiI6ObtJfwOlU2HlIw0+7q+ifFs21l7ReB3d2m9D6ts+tmXZuP6Bl7Q+2dm8yCeEiQGUlLUHNJcMjSE/pfjvt9dTqbHy/S0vhSQdGe1DbPBWcZnIutNOvTwxhYWE+WSi/vfYUx2v+FwsVOzGhToZm9mLC8EiCAptfI9XU1FBdXU1WVlaHRUJISAj9+/dvcDIkhODZZ5+lrKyMpUuX+uTUyIP4CD0kRnaaUGjKebI1mhMKJ06coLy83F207HQ6qaio8MkuSb2zs81ma/Rh8+Y1zGYztbW1aDQa/P39OVCTTWFFuFee/9CPS1CcnhV0//aeaxkxuPul6QDsOlTN1z9Vo7GE4aT5tC8hBBMGKky+IKKBO3T97lRISMe7RhSdNLJ0raHJugohBH71/aiHhjEi+2ejN2+KBIDExETCwhoWnx05coRf/OIXvPvuu4wcObLD12gKs9nMyy+/zMaNG9mwYQMTJkzg3XffpU+fBnUgPWISlEg6QJc1/KiqqkKn0zU6LbTZbOzatYukpCT69OmDoihoNBpOnDjhk9TS+tahffr0ITIy0uvPD6ffG51Oh0ajwWw2Ex4eTmRkJOHh4Q0WuF/+WMP3B/Bq+qrKZSUpSjB2UG9GDojods0w6rHanPz3uxKOVKgx2EJarPnzExZ+NSsWlbB02B26Od5cdYpSTdMbZsKl0DvwZ6O3uKifT4zqRUJ2dnaH11vNiYS//vWvFBUV8e6773q9LgY8jo/QQ2JktxcKEyZMcH8xXS4Xhw8fxm63M2TIEFQqFRaLhcrKyjafVniCoigUFRURHBxM3759O22CsFqtrPtJzaFy77QoO7T1TRSHudX7hfbuzd/+kEt4mO+OIduLXq/n6NGjDBw4kF69elGtsfLtDi2HT9gx2Xu5d1KEy8Xlw+Gaixp6BDidTjQaDXV1dVgsFsLDw4mOjm4UaDzh8HEDb6/3vENTvdHb0H6BxAZX0D8jzSsiISEhgfDwhmLy+PHjzJ8/nzfffNNd2O8rtFotAQEBTJ06FYClS5eevbvZIyZBiaQDdJlQqK2tdZ9y12MwGNizZ0+DouXKykoqKiq8NcwG6PV6SkpKOrV1qMvlamCgFRISQlRUFBt22Dh4Ksh3rUOFi4sHwdUXdj+fByEEx44dw8/Pj759+wKw74iebfuNnKr72X8HIAAz981NIKx3QIPHN+UOHRUV1ea0r7Z2aBJC4K+ykhoLA1MF4YF6BgwY0GGREBwcTFZWViOR8I9//IOCggI+/PBDnxapexAfoYfEyG4tFLZu3cqYMWPw9/fH4XCwe/duoqKi6NevHy6XC5PJRGVlpU+q0+12O4cPHyYhIcHj9nPe5MsCf34q9M6H+PDWpTgdphbvEx0VwXOPzaB3iO88DNqLVqulpKSEQYMGNZlCVN/OdlehhdEDgrlyXMsTuSfu0M1x8Jied/9rbv+xtkshOMBGdqofl7WSotQSTYmE0tJS5s2bx2uvvcaFF17Yruf1FEVR8PPzw2AwkJSUxN/+9jfuuOMO96S8e/duRo4ceS9wRAjxhU8HI5F0HV0mFHQ6HaWlpQwZMgQ4fcJQXFzs9lBRFIWTJ0+2aDTaEaqrq6msrCQrK8snqZ2eIITAZDLx9toqaq2RvruOy8WlQ2HS+O4nElwuF0eOHCE4OJiUlJQmhVJZtYXNu3VUaZz8cnoiIa2kRttsNrRabQN36KioqFabsAgh+M/KU1ToOtChSbETE+ZkWGYwFw6LaDFFqTl69erVKG1JCMErr7zC5s2bWb58OYGBvuuy6El83LJlC/fee+81PSE+duti5vpiLZvNxu7du8nIyHC7FdYXLTcndCxWBbUaj1yQz8ZsNlNYWEi/fv187sLYHF5vj9oCqcnx/OmRqQT4d313h7Opra3l1KlTDBkypNlF/JntbD2hJXdolUrlTlE6u53t/mI973/ZfpEAoFL7YVVC2HMcdpeY8KO2yRSlloiPj28kEsrLy7n++uv55z//6XORAD93x3rhhRdISkri4osvdk+C9eZRwCTgEZVKFQtcLYTY6vOBSSQ9lPa2EK/fTa6trXUXLdvtdo4dO4bZ3PxJcp3ORnRE2xf4QghOnTqFyWRi0KBBXdoVyOF0sWS1Fr090mfXEC4nU8cHMm6o767RXuqzHiIiIkhKSmr2fslxwcy7yvNNqaCgoAbu0DqdjqqqKo4dO0bv3r2JjIwkIiKi0UL89fxTVBo72MbVL5BacyDf7oVvdv9cZH7JyEhiI1s/3WhOJLz55pt8++23rFixwqciof560HJ8/J+P0Ws9IT522okCtN1QpqCggISEBI4dO8bQoUMJDQ3F5XJRU1PTYmu3U1UWXvm0DpcIIDTIyrCMIK4cF0NoSOu6qH73esCAAW3yPfA23+715/sD3jlRKNz2Dg6bvsnfDc7uyx8WXd0t8y6rq6upqKhg0KBBPskjbIr6Arq6ujpsNhuRkZFER0dzrELw0VeWDomE1ogOMfPwTS17PcTHxzcSr5WVlcyePZu//e1vXHnllT4bX1OkpaUxd+5cFi9eTO/evRFCoFKpcDgcBAYGJgI3AM8BFwshtnfq4CQS3+O1GKkoSpsKjS0WCwcPHiQgIAC1Wu1OQTKZTBw7dqzFdNyP/1vC99uKCQwKIr1PLBeNTGDUwKhW44DL5eLo0aP4+/uTlpbWpXHDYHLw77xK7MK3/gLXX9m7W5qQOZ1OdwF5QkJCp1yz/gRHo9Gg0+nw9/cnMjKSyMhI3lxTQ43Jh38Ll4t5EwMZnNl87WZQUFCTXZLefvttVq1axcqVKzt1XddSfKyrqyMxMfE39ID42KknCm3tE221Wjl27BhjxoxxFy1XVla2uEuy67COj782o/LrhUoFJkdvfjwMPxzUEOxvZUBffyaNiyY2qvFOSn1no5Z2rzuLfvE2dh7UYnJGoO6wEVnTk/mEsQO57+ZLOvjcvqGiooLa2loGDx7cqTtWgYGBjXZSthSU8+2BCNQ+FAmBajOL5ia3eJ+4uLhGIqGmpoa5c+fyl7/8pdNEQv2x6qpVq9Dr9UyZMsWdn+zOgw0IQAhRqVKpZgIrgX2dMjiJ5DxBURTq6urIysqib9++7pP2EydONJuO61RcvPzhIY4cOwWA3WalsLiUwuJS3g8IIDUplvHDE7hweAz+Z5mRtdbZqLPZdkCHIlTuxZfXcdn45dQI+ib6bvHbXpxOpzs1Oja289KhVCoVoWe0s7VarWg0Gv79SSkmV7TPriuEi0uG0KpIaKpL0rJly8jPz2fNmjWdIhI8jY//E3c9Ij526omC3W73SCgIITh06JB70R4ZGYnNZqOioqLFOofPNlezaZ9otUWYEIJAtYXMZD+uHBtFSnwvTpw4gdVq9Vlno/Zid7j4Yb+JPUcEWmsYav+2T1pF29/DbtU2uO26K0dx08wxXhplY5yKq1Gg8ZRTp06h1+u90vWgo+w4oCNvkxWV2neaOlBt5rc3JbfowxAbG9uoALquro5Zs2bxxBNPMG3aNJ+NrzmuuOIKIiMjefXVV0lMTGwUsFUq1WBgPzBNCLG+0wcokfieLjlRqC9adrlcXHLJJTidTqqrqykrK2v2MUazk78t3UWdBzULarU/iQnRjBmSwKWjYxEuB8XFxaSmpnqlEYM3qaqzsqlAS/EpJ1YvGXb6CQv3zIwlJtI3tReKS7DzgI4RA0IJDGhbbLHb7RQWFpKSktLlfwtFcfHy8jI0Vh+eJHhQRB4YGEh2dnajDd7ly5ezdOlS1q1b16iFuK9pLT4ePHiQwYMHC3pAfOx2NQpOp5Pdu3cTERFBXFwciqJgMpmoqKhodpdECMHS1WUUVwR5NEmoVCocIoRDp+BgqQmVq5rESDuTJyR1+cL0bAID1EwcGcbEkadfZ0FhDdsOK1QZQlD7e3gc2nDxxqwpY5h17QjfDBg4VaHn+aUFCAGZ6fFcODKJMQMj8GvFbloIwcmTJ7FarQwYMKDLDVB+2q/l0+9svhUJqvaJBK1Wy9y5c/nd737XaSJBURSWLVtGWFgYGRkZ7Nixg1deecW9u3hmd7L//e0WcXqnpNvmXkok3QVPd8XPLFres2cPDoeD0tJS6urqmn3MyQoT/3p/F1ZL693vAFwuJ2XlVZSVV7H2KzUREb0ZOSiR9G6YghMf3Ys5k07PQQaTg80FGg4ct2OwBbZr7g7AyL2zY4kM941IcDoFr62sptboz/ptGiKC7fRPVnPJqGgiw1q+ps1mo7CwkL59+3ZZ/WQ9iuLiX8vL0HUDkZCVldVIJKxcuZIlS5Z0mkhoa3z897//DT0kPnbqiUJrhjJms5ndu3eTnp5OYmIiFRUV7NmzB6fTSXR0dJMOxnaHwj8+PIXW6qXWbC4bKTEuLhoWxsgBnhWXdhVFJ638sN/GyZoghH9Esw6NxTuXYTPXoVb5sWD2ODKSg9zO0PXvq7cEUvHxOl56dxdWa8N6lICAQPqmxjFmaBKXjoqmV1DD6wkhKCkpQVEUMjMzu/x9dyoKLyw7hdbcq20mNm0gQGXmsQUti4SYmBiioxse6er1eubMmcP999/PvHnzfDK2pnC5XDz77LM89dRTwOn2cytXruTqq69udF+LxUJISIgOWCyE+HunDVIi6Vw6zZS0fo6sqalh+PDh+Pv7s2PHDo4fP05QUFCzDsY7D9bx3so9ZzgjdwCViqjISIZkxXLlBYkeFZd2FXaHwo97tewqtFBn8veonXWov4l5E9UYDDqEEO4aNW+lrFhtglc/rUJvbSKNVbjoHWCnb4JgwtAI+iQ1XNxarVaKiopIT09v5J3TFWzfr+Wzn8wNWq96EyFcTBgouGZCXLP3CQgIIDs7u1Fx8rp163jxxRdZv359p526tDU+JiUlodPpHuwJ8bHbCAWNRsOBAwcaFC3XG5AZDAZqa2vR6XT07t2b6OhoIiMj0Rid/OuTKhy+KmZSbPRLdHF7btMtx7oD1dXVlJeXEx3fny0HnByt9MehikSt+nnxeWTnhzhsOh679xqGZJ9Wt0IId4tQrVZLr169iImJISoqqt2Fw3sPV/Pqh3twOFpug6v2U5MUH8OwgYlcPj6B6DB/jhw5gp+fH+np6d3qvbbaFL4r0LCr2EydIcBj74TWCFCZ+e2CpBbb1EVHRxMTE9PgNqPRyLx587j99tu56aabvDKW9vDBBx/w3HPPsXfvXh555BGeeOKJBn3UlyxZwp133qkFxgkhirtsoBKJb+kUoeByuThw4AAAgwYNAn4uWq7vf19XV4fT6WywuF33XRlfbjroE6M1gLCwMOZfN5Bh2ZE+ef6O4nQ6KS4uJiIigjJdMNsPGKnU+iHUjXfu40PN3D3751jvcDjcztB2u52IiAiio6NbdYZuDoPZxWufVmF2tB5DhBAE+dlJinYxOjuYzJQgjhw50ql+FZ5yqsrC97t1HC1zYlW8k/olhIsLB7i49qLmW9MHBAQ02Zr3iy++4M9//jPr16/v1PqNM/EkPj766KNotdqsnhAfu4VQKC0tpbS0lBEjRhAYGIiiKFRWVmIyNez9L4TAaDRSV1fHgSMaNh2KQ+Xvwx0Nxcat14WTlda5uW2eUlZWhkajYeDAgQ1OBPQmJ5t2mTlUqsbiiqCycD2P3D6etJSmlXV9i9B6Yebn50d0dDTR0dEe98feuquMtz7dj9KGrh2nURER3puMvlFcNzGT9OTuZ/ZWjxCCgsN6ftxn4FSNCpeqfTsp/ph55KZEwkKaL46OiopqNMmZzWbmzZvHggULuPXWW9t8XV+wfft2du3axe23386XX35JcXEx8+bN4+qrr6agoGAJcK8Qoq0fComkp+BzryG73c6uXbuIj4+nb9++bsOxkpKSRvHU6XS6W4ev/8HEsZO13hpekwzI6sO91w/oVps79dTn8icmJjaaSwuPG/lhr56T1QInvciMt7FgavPNJOobW9TV1WE2mwkLCyMqKspjw85avcKSVTXYlPY1xFC5bMSFOxmaEcSFw2O6ZStzOF0Hs3mXhoMlNnSWgHZ1CRTCxdj+TqZd2nzBvL+/P9nZ2Y3WJ9988w1PPvkk69ev7xL/q7NpKT6OHTuWJUuWBPSE+NilQkEIQWFhIWazmWHDhqFSqbDb7ZSXl7dYtLypoJbPtjp9mjvuh4X758Y2sBbvLgghOH78OA6Hg8zMzBYnKptDwW53NXBhbA2bzeYWDYqiEBUVRUxMDMHBwU0GhK9/PM7H6w55xfguNLQ3/fslMGFkEqMGhHXLAFTPiXIzGwu0HClTsDmDUalbH6tamJgzwQwua7Pu0E2JBKvVyg033MCsWbO48847u+X7sm7dOubNm4eiKPWNC+4G3uwJE6FE0k58KhSMRiN79uwhKyuL2NhYFEWhqqqqxaJlq13hH+/upay82ltDawIVl4zvz7xr0n14jfZjsVgoLi72KJdfZ3QQEep5fKw37NRoNOj1eoKDg4mKiiIyMrLJ0/iyGidvravFKbzTNU8lFCJDbGSl+HHxyBjCQ33rCdBenIrC9gN6dh02UanzA7/WNx2FcDEwUcfQPhb8/Pzc7+uZKXX+/v5kZWU1SrP77rvv+N3vfse6deta9JToKs6Oj6+++ip33323FApnc6bzpNPpZM+ePYSFhZGZmYnL5cJisVBRUdGiO+VHX5Sz+1iATxdKvQNMPHRjSqM8+u6Ay+WiuLiYoKAg+vbt6/MFo9PpRKPRUFtbi9VqdR9rh4WdXsSv+eYoa74qQgjvu2MHBgWRnhrHlIkZDM3sXset9TgcDg4cOEBUXAq7ixT2ldjRW5ouovPDwm9vSiQ0xN+9K1hXV+cONtHR0aSnp5Oc3HBny2azcdNNN3HttdeyaNGibikSzuSbb77h73//O2vWrBHAKuA3QoiSLh6WROILfCYUqqurKSoqYtiwYYSEhKAoCmVlZdTU1DT7HDVaKy++vQujweCtYTVCpVIz89phXD6263dsm8JoNHL06NFOSdMRQrhTv7RardtXICoqiqCgII6WOVj2RR0ufNRaW7gIDdCx6Po0gtrYPamzqKqqora2FnVwCj/tN3KiWuAQQY1qKoUQjM10Mu2y054QTblDx8bGMnr06EY1Iz/88AMPP/wwa9asITU1tdNeW3uoj49r165FCLGSHhAfu0QoWCwWdu3aRVpaGklJSSiKgl6vp6qqqsXHv7y8lFMa36amJEea+dXc1G65GFMUhUOHDhEVFdVoMdlZ168/fjUajWw9aGf7Pt8ebUfEpvLrBYNIje1+k2C9SEhLSyMyMtJ9u1M5XUS345CZSq0fqIPww8Ijv0ggvImTnfpgoygKiqKgVquJjY1FCEFKSgq33HILl156KQ8++GC3/Fw2h0ql6gNMATYIIY519XgkEh/gdVNSIQQnTpygsrKSESNG4O/vj8Ph4Pjx4xhaEAAnyk289M4OHI62GZu2Bf+AAH45ZyRD+0f67BodQavVcvLkySZ3nDsDq9WKVqulrq6Ok7UB/FgcASrfxS6HVc/lw+Gqi9J9do2OUFVV5fb6ODM9ulZr47tdWopKHZjsQaBSMzrDyYyJTRvHKYqC0WgkLCwMu91OeHg4wcHBxMbGcvjwYR544AFWrVpFWlpaZ720DlNaWkqfPn3upAfEx04XCjU1NRw4cIAhQ4YQERGB0+mkrq4OjQe9nev0dr76qZaDx51YHN4pmqlHCMGIdDvzr+n8Bbgn2O12Dh06RHJycpcV6JzJm/n7+XHnCZ9eIzq+L79ZMJDE6O53stOcSGiKg8f0pMQFE97C8XZERIQ7p9Jms1FTU8OiRYvYv38/GRkZPPvss1x00UWd5lDtJXqOqpFI2odXY2S927LL5WLw4MHu244dO4bN1rIAEEKw/6iezTsqOHK8GpvV4s2hERwcwgMLR5Ec3/0MyOC0+WRlZWWT/fQ7m52HLKz5wQgq38Uuh0XD5HGBXDa2j8+u0RGaEwlnY7M7OVZmYWB6852c/Pz8yMrKIjg4GCEEOp2OL7/8kj/96U/odDruu+8+br31VlJSUnzxUnxJj4iRnSoUTp06RVFRESNGjCAoKMjd5aGmpgaLxdKmzgx6k4NvttWx76gNo71jLSyFS+Hq0WquHO+7BbjBrPDxFxUMTu/FBcMi29SO1Gq1cujQIdLT01tdlPoaIQSvfLCHXQeaz5H1BnGJ6Tx4czax4d1PJNjtdg4ePEh6erpXelmHh4fXuzS6cTqd3HXXXWRmZnLBBRewdu1akpKS3K3Xegg9YhKUSDqAV1OPtmzZQkxMDGlpabhcLoQQ7tSNlur2mqL4hIFvt1VQXFKN2Wxq/QEtEBUVxSO/HEloiO82KjbtrKOs2sYlI8JJTWxbylBZWRl6vb7VRWlnsHm3ka92WqGZduXewG6uY/pFwVw4snsujD0VCZ6gVqvJysoiJKShQN27dy933HEHL774Ivv372fNmjX85z//ISMjo0PX62R6RIzsVKFgNBqB0394l8uFSqVyp1LUG6sZjUbMZnObRIPFqvDt9jp2HbGgtwS1qchZKDYuzKhieHYEMTEx7tx7b1JZa+Pf+TUonD4KFS4H0aEORmX34pKR0fQKbP6LZDQaKS4upn///p3uLHg2iuLixbd2UXis0qfXSUzpz8MLM4gIPfdFQlhYmNuQpR5FUVi0aBEpKSn86U9/6lHpRmfRYwcukXiIV2OkRqMhODgYRVHcTq7133+LxYJWq0Wr1WK1Wtv0vCfKTXz9UzmFR2swGttWv5AQF0XOJSHExka7c++9zcpvq9l1TIVKpUYIgb/KRp9YmDAslOy08GYfV9/Yw+l0kpGR0eUmnZt2Gfm6wNqsp5E3sJtqmXN5GKOGNN8VqCvxtkjo379/o1qTgwcPcuutt/LRRx+5T956KD0iRnZ66pHdbm8kEs7G5XK5RYPJZGqTaLA7FNZ/d5K9Rx2YHWEttudSuazcMzOa5LggdDodtbW1GI1GQkNDiY2N9bj1WUsUnTDx1nodNNG3GU6fZoQH2xiWEcjEMdENWmZqtVpKSkoYOHBgl+Rbno3BaGXZuiMUHdeg15vABwXMKWnZPLygH6HBXTvhN0VniASXy8Wvf/1rIiMj+etf/9rlga+D9IhJUCLpAF5PPVIUpcX4CKdPmTUaDTqdDoulbSlGpZVG1n5dzMlKKwaDkZZewujh/bglpz82m83t1SCEICoqqlmDt7YgBLyzrpzjNc2LD7WwkRTlYuyg3ozIjmjgcHv06FECAwPp06dPt9hQqdU5+WGvgeJSG1oToPb3qmiwm6q44epohmZ3z0LyzhAJhYWFLFy4kGXLljFs2LAOXaMb0PUfWg/oVKHwwAMPUFpaysyZM5k8ebJHO+RCCEwmEwaDAbPZ3GILzvoiMIvFQlZWFgLYskfL9gNmqvUNnRmD1GZ+c0Nio+JSIQR6vZ7a2lr0en0Dg7e2fvB/2q/j0++sHp9wCJeL3oFWBvb1Z0SGwGKsYdCgQV2eb9kUJ8v1fPNTBQeP1FKrMeBSnB2eqNMzBvPQTX3pFeS7787WPTX0SQ4lObZtAc7bIiE0NLRRCzeXy8Wjjz6Kn58fL730Uk8XCdBDJkGJpAN4LUaWlZUxdepUJk+ezMyZMxk6dKhHc0B9dxitVovZbG7xvvXuvqmpqURFRVGjtfHtTxXsLaxGo9WeXrkDKpWKay8fzJRLGtfsORwOd13hmQZvZ6eGtIbD6eK1FeXUmdvQoMRlJy7cycj+vQgPqCI2JrrRZkt3wWx1snWfif0lFmr1IPDvUF2lw1TJwuviyO7nuxRpndFOwSENFw6PbTHToSm8KRJUKlWTWRTHjh3jhhtu4J133mHUqFEdukY3oUfEyE4VCi6Xi4KCApYvX87nn39O3759mTFjBtddd51Hi6/67jD1ouHMNqqKolBcXEyvXr2abBsqhGDbfi0/7Dud/vSrucn4t/JhPtPgrf5IuN69uLUvwuc/1PDtbtHuieG0M6OF/il+XD4mktRuWkAGoNFb+eqHU+wtqqWyWo/TYW+zaOjTL4vbrgsnPi7KZ8Loo/8e46vvDgEQGhZGdr84LhubxOCMltPNOksk/PGPf8RisfDKK6/4TCRs2rSJgoICLr30UkaPHu2Ta5xBj5gEJZIO4NUYqdfrWbt2Lfn5+RQXF3PVVVeRk5PD6NGjPZoT7Ha7WzScbVhqMBg4duwYGRkZTW7S6Y12vtlWxd7Caq69pC9jh8Q0us/Z1Bu81dXVYbPZ3K1BW3MvNlqcvJJXiUVpfxdD4XIQHeJgWGYvJgyPpFdQ92304FRc7DhoYk+xiQoNKMKvTXWVdkMZ0yf4MWRAKqGhoT45PdHo7fz1jR2YTEbUKjWxsVEMy45n4ph4IiNa9mqorKxEo9F4TSRkZmYSFtawuPnEiRNcf/31vPHGG4wbN65D12iOTo6P0ENiZKcKhTNxuVzs27ePvLw81q1bR0JCAjNmzGDatGlER0e3+vh6N2GDwYBWq2X//v3ExcX5bHehXqTUG5EFBAQQExNDdHR0o4XtR59XsLvE32tfZiEEASoraYkqLhsZTlbf5rsDdDVWm5Ovt55i+75KyqsMOBz2Vr4JKgYMHs6dMyLQ604fbdcbrXjjaLueZWuP8O0PhU3+LiioF+l947hwZCIXDovG3+/ngOwLkZCYmNjgsyGE4Omnn6aqqoo33njDZ8V4ZrOZl19+mY0bN7JhwwYmTJjAu+++S58+Puua0SMmQYmkA/gsRhqNRj777DPy8/PZv38/V1xxBTk5OYwfP96jOcLhcKDVatHpdBw7doyKigqysrJ8UmMApzfr6vvem81mt6Hk2XV/1Robr6+qddfseQPhUgjvZWNQWiCXjIgirA0Gap2NEIL9R0x8V1BNrSkIpxKAqoW/p8NUxl0zUwkNFtTV1WEymQgNDXU7Q3sjXmi0Vp57c2czRe8qwiPCGJgRx8SxifRJbLhp2Rki4dSpU8ydO5dXX32VCRMmdOgazdEF8RF6SIzsMqHQ4CJCcOjQIfLy8li7di0RERHMmDGD6dOnExsb2/LOhNHIvn376NOnDwEBAZhMJpxO3xvdWSwW6urqqKurQ61WEx19utBr6dpaSut8W08Q29vAg79I9+k1OkJNTQ1lZWVkZWezfV8dP+2rpuSUBovZiqrBR0rF0OEjWDQ3Eb8zXI1tNpv7vXU6nW5n6JCQkHaJr3dXF/Pd1iKP7uvn709yQgyjhyZy8YhITpQU+Vwk/N///R/Hjh3jnXfe8XnHDq1WS0BAAFOnTgVg6dKlZGRkuAsnvUyPmAQlkg7QKTHSarXyxRdfsHz5cgoKCrjkkkvIzc1ttWWyEIJjx45RW1tLWloaBoMBvV7v8/GeaShZ3/8+KiqKGoM/H3xpRKh95yYsFAdzLgtiaFakz67RERRFoaioiMjISBITEzleYeXHfUZKKhxYbH6o/H7+eyqmU/zq+n4kxP58AiSEwGAwuM06e/Xq5U6Pbk/77Bqtleff2IHF0nLaWj3BwSH06xvDhBGJJESc9o3wVrepzMxMwsMbFq9XVFQwe/Zs/vGPfzBx4sQOX6MlOjk+Qg+Jkd1CKDS4oBAcOXKEvLw8Vq9eTVBQEDNmzCAnJ4eEhIQGf6y6ujoKCwsZOnRog6NUq9WKwWDAZDLhcDh8PmabzUZFZS3vfmHB4or06bWCVDoeXdCX4F7d85i1qqqKqqoqBg4c2GDSEkKw+1At3++q5MjxOoxmKyNHDOeeWQm09P2rP9qura3FYrEQERHh3qXy5Cj+7ZVFfL+tuF2vRaVSEx0dwYhBiVw5LomE2PbvxPXu3ZukpKRGIuHFF19k3759LFu2zOceCYqi4Ofnh8FgICkpib/97W/ccccdDSb448ePU1lZyfjx471xyR4xCUokHaDTY6Tdbuerr75i+fLlbN26lQkTJpCbm8ull17a4HTb5XJx8OBB/Pz8yM7Ods+X9caZWq0WvV7fpmYh7cHlcmEwGPhpbw3fHw5tscFIh6+lOLh0qOCqC7pn3YLT6aSoqIjY2Fji4uIa/b5G62DLXgNFpTYsJi33zOlLTGTzrWLrMyvq6urQarXu03hPu1NV11l5ful2rG0siK/Hzz+APsmxjBuawPjh0QQFtF8sZGRkNNqQq6qqYtasWfz1r3/lqquuavdze0IXxEfoITGy2wmFBhf/X+uz/Px8Vq5cCcD06dPJzc1l5cqVJCcnM3Xq1Ba/EDabzS0a2tqH2lP0Jid//7ACm8u3rtERQToe+kUa/v7dr20oQHl5OXV1dQwcOLDV3YVTVRaS44JbFAln43K5GnSnaq3Q/I38QrbuPNLWl9Es4eFhDMhM4PJxiWSneZ7+FRISQnJyciOR8O9//5sff/yRTz75pFMK1p1OJ/7+/jz11FMsW7aMFStWuLtGWK1W/va3v/H2228jhECr1fLEE0+waNGijuwU9YhJUCLpAF0aIx0OBxs3biQvL4/NmzczZswYcnNzGTJkCP/85z9ZtGgRffv2bfbx9XNq/U9LzUI6wtfb69i0x+VVk9SzcTntTL3Qn/FDu96QtCkcDgeFhYUkJiYSE9N6/Ud7qHeG1mg0KIriLjQPDg5utCNeWWvlb0u3e82YT632Iz4uiuED4rhsTEKLBqNn05RIqKmpYdasWTz77LNce+21XhljS3RBfIQeEiO7tVA4EyEEZWVlLF++nJdeeomgoCBuuOEG5syZQ3p6ukfHQjabzd1ytTWXS08pq7HySn4tLpVv042SIwz8al5at2gB1xSlpaUYjcYGO1e+pP74VaPRoNFoCAoKcheaBwQE8J/lh9m266jPrt+rVzATxvTjxutatoxvTiT85z//4euvvyYvL89nOcPNkZaWxpw5c1i8eLH7JO6xxx7j448/5oYbbuA3v/kNK1as4F//+hcff/wxQ4YMae+luueHVSLxHt0mRjqdTjZv3sybb77JunXruOyyy7jxxhuZNGkSwcGtb2LVd/yrL4b2lmhY8XUVe46rfeotIJwW5l3Rm8GZkT67Rkew2+0UFhaSmpraaaapZxeah4eHExUVRVhYGBW1Vl5YugO7zbvu3W5UKiIjIrjz+mGkxre8NurXr1+j90Sj0TBr1iwef/xxpk+f7psxNkMnxkfoITGyxwgFOD2R3XTTTSQnJ/Pggw+ycuVKVqxYgU6n47rrriM3N5esrCyPFtN2u90tGtpqXlOPzujkr+9XItS+Ewkul4tBKWZunt7ygrSrqG9Ja7fbyczM7LKWnhaLxV1o/tmPFopKan16vaBevXnk9nGkJTUfgIODg0lJSWkkEt566y3Wrl3LypUrO80fo/5YddWqVdxyyy3k5eUxadIkAA4dOsTo0aP529/+xr333ut+zODBg7n22mt58cUX23vZHjEJSiQdoFvFyD179rBw4UKWLFmC3W4nPz+fDRs2MGDAAHJzc5k8eXKjvvRNUb8RUy8azuww2BbWf1/DT4Ute0J0FOE0cdu0KPokdq0haXPUt6Tt27evV2rd2oOiKOj1ejQaDSfK9KzZrMfh8M5maXOMGNKP22b1b/E+6enpREVFNbhNp9Mxe/ZsHn74YWbNmuXLIbrpovgIPSRG9iihALB///5GCq6mpoZVq1aRn59PVVUV11xzDTNnzmTQoEEeTVAOhwOj0YjRaGyzaDCanXyzo469R6zoLUGo/byXZ+5SnIwf4GTWld3Tpr2+UE4IQUZGRrc47fj3BwfYvf+4T68R1Ks3j9w2jrTklkVCcnJyI+H03nvvsXz5clavXt3mvuPe4IorriAyMpJXX32VxMREFEXhscceY/ny5RQWFhIQEOD+O44aNYprrrmG//u//2vv5br+AyGR+JZuFSN1Oh0Gg4HU1FT3bS6Xix07dpCXl8fnn39Ov379mDFjBlOmTGlUONoU9W3C60VDW5uFHDtl4vvdOkoqXTjp5dWTBbVi4J5ZCcRGdb0haVNYLBaKi4vp16+fR75Rvqa0wsw/3tmO3e5bkTB8SD9ub0UkpKWlNepwaTAYmDNnDosWLeL666/35RCbpJPjI/SQGNk9K2JboKljntjYWG677TZuu+02tFotq1ev5plnnuHEiRNcffXVzJw5k2HDhjW72x0QEOAuAHI6ne6ThtbMawBCQ/yZfmk80y8Fq01hU4GGgkIzGlMg6g4UbSlOO9eM9ePK8b4VCXlfnsBkdnD1RSkkx3k+2bpcLo4cOUJgYGCTvhWdjRCCfy47wL6DJ3x6naBevXnoly2LhF69ejUpEj7++GM+/PBD1q1b12kiQVEUli1bRlhYGBkZGezYsYNXXnnF3UbY4XCwfPlybr/9dgIDA907K3v37iU0NLRbBDeJROIZERERjXat1Wo148aNY9y4cfzlL39h7969LF++nKlTp5KYmEhOTg5Tp05ttLNbj0qlIiwsjLCwMPr06YPRaESn06HRaDxqFtIvpTf9Uk6fYpRWWdhcoOVouQu7K6hDNQuB6LnvhmRCQ3zXQalWZ2P5l9UMSOvFRSMiCQr0fMlkMpk4cuQImZmZHp3i+JrjZUb++e5On58kDB3Uukjo27dvI5FgMpm4/vrrufPOOztNJMj46Bk9Tii0RmRkJAsXLmThwoXo9XrWrVvHCy+8QFFREZMmTSI3N7dF8xp/f38iIyOJjIxEURT3SYPFYmm1O0SvID8mXxjL5AvB4VTYvEvLjsMmavUBDVyhW0Nx2hifXklKRAg1NWqPDN7aw5K8In4qON0RaPNPhYSGhjGwfzxXXpDUoleDy+WisLCQ0NDQRqk1XYHL5eIf7+3nYGGpT68TEBTCQ78cS7+UlkVCSkpKo8/XihUreOutt1i3bl2nBg2VSkVJSQlPPfUUcLpmIiEhwf37Y8eOUVpa6m4HVz/ujRs3YjKZGDlyJIAv28NJJJJOQq1WM2LECEaMGMEzzzzDgQMHyMvLY+bMmURFRZGTk8O0adOIjW2+ILh+gZSSkoLZbHYXz3rSLCQ1Ppj515yeP6vrrGws0FJc6sSq9GqTaAhyVXPNaCuaWj9wtW7w1h7KaywsWa1BqEOo3A8b92oIDbQxOD2Qy0ZHExrS/PLJaDRy7NgxsrKyPKoP8TXHSo386/0dOB2+aehSz5CB6dw5p3WRcHYxt8ViYf78+SxYsIAFCxb4cogNkPHRM3pc6lF7MZvNrF+/nvz8fPbt28fll19OTk4OF1xwgUeLcEVRMJlMGI1GzGZzm1rKKYqL9RuPsP846Ky9Ufk1X7zqcpq5ZUo4A9LDGxm8xcbGuot1O4IQgn+8d4ADh5vffQ8ODiEzPZ6J45MYkRXh/hIoisLhw4eJjIwkOTm5Q+PwFkIIftpby5ZdFRw9UYPFbPb6lzYgKJiHfzmejNTmTwKCgoJITU1tJBLWrl3LSy+9xLp16zqtkK0pPvjgA5577jn27t3Lo48+yjPPPMMXX3zBfffdxyeffMLYsWOB0y3p7rnnHmw2G/n5+R0ptj53Z06J5DTnRIwUQlBUVEReXh5r1qwhODiYnJwcpk+f3qgteXNYLBZ3elJbU3grqg2s/66UKkMoVmdQAy+Bs0noreeuOWm4XK5GBm8xMTFecS4uOWXinf8aoJkNPuFyEexvJbuPP5eNiiIm8uc5UqfTceLECbKysjqtBq01TFYn3+2oYtfBKioqNbhc3veaGjwgjbvnZbd4nz59+jQSoVarlRtvvJHc3FzuuuuuLltwd0F8hB4SI88boXAm9eY1eXl57Ny502PzmnpcLpdbNJhMphZFw9kpOgA7D+r5Ya+esjo/OEM0CKeRX82OJTWh8Y5zfbFuvXNxdHQ0MTExBAa27dhVUVz835t7KTle5vFjAgKD6Ncnngmj4gn3ryIhPq6B6u5uHDiqZdO2Cg4frcFgMLSpBWtTBAQF85tbx5PVp2WRkJKS0kh0fv755zz33HOsW7fOZy3x2sr27dspKCjgjjvucPeE/sMf/sCdd94JwFNPPcWnn37KQw89xMKFC3G5XO0tUu8Rk6BE0gHOuRhZX3uWn5/PqlWrUKvVbi+jszu4NUd9m06tVoullR79RqORo0ePulN0jGYn3+2sY/9xO0ZroFs0CJeLzHgzC6Y1bvda3+a13rm43uAtPDy8zXPXwaN6Pv7G4rHfgxAuAlVWMpL8GJmpxmmtJjs7u82xubNwOBV+2lfLT3uqOFlWh9MLqUgDs/tyz7wBLcba1NTURt4RNpuNBQsWMHnyZO67775usSvfifERekiMPC+FwpnUm9fk5+fz448/csEFF5Cbm8tll13m0c69EAKTyYTBYMBsNjdoKacoCocOHSIqKqrJ3XchBPuOGNm8W0+dzsG9cxKJCm99B8Jms7lFgxCCmJgYoqOjW929sDsUnn1tF+UVVa1eozn8/ANITY7lghGJTBwTR2AHDFY6g9IKE1//VMG+omo0Gi200VzIP7AXv7gujZGD4ps93m5OJHz11Vc888wzrFu3rklzne6AEILFixfz+uuvM336dOrq6tyt32655ZaOpkn1iElQIukA53SMFEJw6tQp8vPzWbFiBU6nk2nTppGTk0Nammftum02m1s0nF33p9VqOXnyZLO77xark+93a9l71Eq/RBW5V7Res1dv8KbRaNDr9W6/nfDw8FazB3Yc1LLmBzsqdfuysoUQ+GOlT5yKi4eH079v985hF0Kwt1B3+jT+ZPtO4/umxrFwagpRUZHNrplSUlKIj49vcJvD4eCWW27h4osv5qGHHuoWIuFsfBwfoYfEyPNeKJyJw+Fg06ZNLF++nM2bNzN69Ghyc3O54oorPDpeEkJgNpsxGAzodDr27dtHcnJyi/me3hhzbW0ttbW1KIpCVFQUMTExjYplzVaFxS9vp66uzmvXVvv5kRgfw9ihiVx5QQK9g7t3yYtGZ+WLH8rYsbccrd6IaKVPeEBgL+5bOIa4MDt1dXUNjrfrnaEDAwNJTU1tFIA2bdrE448/ztq1a92FUd2Zzz77jCVLltCvXz8uv/xyb/Wu7hGToETSAc6bGCmEoLKykhUrVrBixQoMBgNTp04lJyeH/v37e9xhUKPRoNPpKCkpobKykuzsbJ8ZTtZ3bKqrq0On0xEcHExUVBSRkZGNsgc2F9SxoUBBpfbe5pfKZSMp2sUFQ0IZ1j+8Wy6Gz+RoqZEvtxzn2EktJpO51dP47P59uHVGX7Ta035G9c7QkZGRbuGXnJzcKAPB6XRy2223MWrUKH73u991+/fFR/ERekiMlEKhGRRFYfPmzeTl5fHtt98ydOhQcnNzueqqq1otTjKbzezevZs+ffoQEBCAyWRqdx/qtuB0OtFoNNTW1mK1Wt2iweEK4JlXt2PQ6312bZVKzbiRGdwxJ8tn1+goNpuNgwcPkpGRQWBgCBt3VLFtbxWnymtwOht27wgI7MUDN49jQPrPO0Iulwu9Xk9tbS0Gg4GIiAiGDBlCQkJCg6Dz/fff89vf/pa1a9d2mzoOT/FyUVaPmAQlkg5w3sbI6upqVq5cSX5+PrW1tUyZMoUZM2Z41Ja8pKSE6upq+vbti8FgwGAw+Hy89Rt5Go0GrVZLQEAA0dHRREVF8fV2DVsOqHzqHI1i57ap4aQmdn5bbE+pqKhAq9WSnZ1NrdbOt9sq2F9cQ12dlrM/6v0z+rDohgGo1T//rW02m/v9dTqdZGdnM3jw4AZ1I4qicPfdd9O/f3+eeuqpbi8SzsQHRcs94sVLoeABLpeLH3/8kby8PDZs2EB2djYzZ87k6quvbtQeS6/Xu70ezuxRbbFYMBgMmEymNvehbg+KoqDRaDhyvJr31ld6zaa9OSIjI3lq0bhue6pwpkg4u3e4oij8uLeOLbsqKDlRg8sluP+W8QxKb/7Y2N/fn/DwcDQaDTU1NajVan744Qeys7N55plnWLNmDX369PH1y+ru9IhJUCLpADJGAnV1daxevZr8/HxKS0vdXkZDhgxpkL8thKCwsBCHw8HgwYPdv3M6neh0OrRaLXofbmidicVioa6ujs9/1HNCH+db52jhYsJAwTUTumcKKjQUCWfn3BvMDjZtr2T3oRoqq+rISE/mvhsbioSziY2Nxd/fn+rqakwmEyUlJYSFhbFu3TqSkpL4y1/+0qNEgo/oEW+AFAptxOVysXPnTpYvX87nn39Oeno6M2bM4LrrruObb77B6XQyZcqUFvvkW61Wt2jwpA91ezlebuKvS37Cbmuf87SnxMbG8OS9Y+gV1D3rFVoSCWcjhMBgdhLeu/mj8ICAAFJTUxucIlRVVfHnP/+Z1atXk5aWxrx585g7d667gP08pUdMghJJB5Ax8ix0Oh1r165lxYoVHDlyhKuuuoqcnBwGDRrESy+9xOzZs8nKymp2kagoSgPR0JYOg23lg/+WU1ge6FvnaJeLicPhirG+S0HuKC2JhLOx2RUC/NUtioTExESSkpLc/3e5XGzYsIHnn3+ewsJCpk6dysyZM5k6dapHDWTOYXpEjJRCoQO4XC727t1LXl4ey5Ytw+Vycd999zF//vxmzWvOxmazuUWDJ32oPeVQiZ6X3t7m877JiYlx/PHuUd22qLktIsETAgICSElJaZRTu2fPHu68807y8/MJDw9n7dq19OnTh8mTJ3f4mj2YHjEJSiQdQMbIFjAajaxfv56PPvqILVu2cMEFF/DAAw8wbtw4j9qS13czqv9xtVJX5ilCCN5cVcYprW89DoRL4eoxflw8Irr1O3cRFRUV6HQ6srKyOtK9x01CQkKjlFuXy8Vvf/tbVCoV//jHP9i+fTvr1q3jySeflEKhByCFghf4xz/+wRdffMHixYv57LPPWLt2LZGRkQ3MazzZsbDb7W7RYLO1v2XZrkItry3bhuLjFKfUlET+cNcI/P18mNfZAbwtEvz9/UlNTW0kEg4cOMAvf/lLPvnkEwYOHNjh65xD9IhJUCLpADJGtkJVVRW5ubncc889hIeHk5eXR0FBAZdeeim5ublMmDDBo8WiEAK9Xu/uoNRe0SCE4NX8U1QbfVsrIFxOpl0YyNjBkT69TkfwtkiIj48nJaVhZyqXy8UTTzyB0Wjktdde88p1ziF6RIyUQsELfP7551x55ZXuBaQQguLiYvLy8li9ejXBwcHMmDGDGTNmeGxeY7fb3T4NbTWvsdoVNm6rZOvuSsoqalAU7wuGfv2S+e2tw/A7z0XC4cOHufnmm/nggw8YOnRoh69zjtEjJkGJpAPIGNkKGo2G/fv3c8kll7hvs9lsfPXVVyxfvpxt27YxYcIEcnNzueSSSzxuS24wGNyioa3NQsqqLWzaqeVouYJd9PJ6fYJQHMy6rBfDsyK8+rzexNsiIS4ujtTU1Aa3CSF45plnqKio4M033/ToFOk8o0fESCkUfIwQgpKSEvLz81m5ciVqtZrp06eTm5vrsXmNw+Fwi4bWzGvOxulU2FxQw/cFFZSWVeP0Qk3EwOy+PLhwsE/zOq02hW+3V3LZmARCerVtcvGFSEhJSWlkoHPkyBF+8Ytf8O6777qt3CUN6BGToETSAWSM7CAOh4Nvv/2WvLw8Nm/ezLhx48jJyeHyyy/3uC250WhEp9Oh0Wja3CykRmvl2x1aikudWF0dFw1CcXD9lSEM6hfWoedpjYJDGvzUKoZlRbQ5FntbJMTGxjZq3iGE4LnnnuPIkSO8884753uKUXP0iBgphUIncqZ5zaeffordbmf69OltMq9xOp1u0XC2eU1rKIqLrfvq2LyjnGMnqtvlyJiRFsvN01I8MnhrLxarwpP/3oZGo0GlUhMbG8XIQQlcdWEi0REtBw5viwQ/Pz9SU1MbiYTjx48zf/583nzzTbe1u6+wWq0+e699TI+YBCWSDiBjpBdxOp1s3ryZ5cuXs3HjRkaMGEFOTg6TJk1qtS15PSaTCa1Wi0ajaXOzEJ3RwcYddRw64cDs6NXmdqnCaeOq4UaGZMV6ZPDWXjbtqCL/sz0IIQgICKJPagwXDk9g3JDoVk/5O0sk/P3vf2f37t188MEHPvPJqEfGSN8ihUIXcbZ5jV6vZ+rUqeTm5npsXqMoSgPR0JbuEEIIdh7U8OWWE5w4VYfD3rpoGD+qPzfPSKOurs5t8BYdHU1MTIzHk3hrmK0KT/zrJ3RabRO/VREZGcHQAQlcPSGZ5LiGE0NniYTS0lLmzZvHa6+9xoUXXtjh6zSHwWBg1apVrF+/nqKiIhYuXMiiRYt6Uku5HjNQiaSdyBjpIxRF4YcffiA/P58NGzYwaNAgcnJymDx5sseOuGaz2Z2e1Na6P6PFybfba9h7xILNFdq6EZti59brwogKdTUweIuOjiYiIsJrO+rfbqvk08/3Nhnv/fwCSE6MZuzQBC4eFduoyYi3RUJMTEyjzn5CCF5++WW2bNnCJ5980ih+ehMZIzsHKRS6CTU1NW7zmurqaqZMmeJuKeepaDCZTBiNRo9EgxCC0tJSTCYT2dnZHDxq4Oufyig6Vo3FbGp0/0svGMDCGRkNbnM6nW7RYLPZ3AZvvXv3btcX1WRx8sS/fkKv03l0/9CwMAZlJjBpQhKpcQFeFwkpKSmNjr7Ly8uZM2cO//znP7n00ks7fJ2WuOeee1i1ahWTJ09m2LBhvPzyy8ydO5fnnnvOp9f1Ij1iEpRIOoCMkZ2Ay+Vi+/bt5OXl8fnnn5OZmcmMGTOYMmUKYWGepfhYLBa3aPCk7s9ms1FUVERqaiq9gkPZvEvL3qNWdJZAVOqGi36Vy8YdMyJJiv15w6ze4K2urg6tVktgYKDb4K29ouGrHytYtWEfeLApqFb5ERcXzajBcUwcm4BBV+NVkRAdHU1aWlqD24QQvPHGG3z55Zfk5+d7lDrWEWSM7BykUOiGaDQat3nNyZMnmTx5MjNnzmTo0KEefcFdLpdbNJhMpkaiQQjBiRMnsNvtZGZmNnrOohMGvvqxnEPFVZhMRiZdNoj51zScEM6m3uCtrq4Os9lMZGQk0dHRhIWFeSQa9EYnT728td3u0UG9epGZFsekC1PblbN5Jmq1mtTU1EaTXGVlJXPmzOH555/nyiuvbPfze8IXX3xBbm4u//rXv7jtttsAyM/P54477mDLli0MHDiQ8vJy9Ho9AwYM8OlYOkCPmAQlkg4gY2Qn43K52LNnD8uXL+ezzz4jOTmZnJwcpk6dSmRkpEfPYbVa3aKhqbo/q9VKUVERaWlpjTaenE6FLXu07CqyUGcMwE+lcM+saGIjW059qTd402g0+Pv7ExUVRVRUlMc77p9vKWfd1/s9Eglno1KpCAsLZeSQJCaNSySqlRTe1oiKiiI9Pb3R7W+//TarVq1i1apVPk8FkjGy8+g0oXDixAn27t1LeXk5U6dOJSIiokVTMslp9Ho9a9euJT8/n+LiYrd5zejRoz0SDUIITCYTBoMBs9mMoigcPXoUlUpFv379Wl1Q6412wkPbdnRYb5hTW1uLyWQiLCyMmJgYwsPDmxyz3mjnyX//hNFgaNN1miMgMIh+feO5ZHQi44e2nrN5Jmq1mpSUlEaTXHV1NbNnz+bPf/5zp3gjXHLJJcTHx/PWW28REXG6c0ZxcTHjx49nw4YNjB49mqVLl/LRRx9RWVnJtGnTePzxx72WAuYlesQkKJF0AK/ESBkf24cQgv3795OXl8e6deuIjo4mNzeXqVOnEhvrmcGZ3W5Ho9Gg1Woxm81YLBaKiorIyMggNDS0xccqigu7w0Vwr7adEFitVvfGmkqlcouG5hbXn20u47NvDuCdj5uK8IhwBmXGceUFSSTFtm1BHxkZSXp6eqO1w/vvv8/HH3/MmjVrOuWzK2Nk59EpQmHPnj1MnjyZpKQkjh07RmhoKDfccAO/+tWvmlSlkqYxmUysX7+e/Px89u/fzxVXXEFOTg7jx4/3qGhKURR27tyJoijExcV5zbymJVwuFwaDgdraWvR6Pb179yYmJoaIiAj8/PzQ6O0sfvknTEbviISz8Q8IIDU5lkkXpHLhiJYDR3Mioa6ujlmzZvHkk08ydepUn4zzTIqKihgwYACfffYZ11xzjfv2vLw8nn32WZ599lmmTZtGQUEBJSUlfPbZZ7zxxhts2rSpQQvCbkCPmAQlkg7Q4Rgp46N3EEJQWFhIXl6ee7Gam5vL9OnTiY+P9+iUuba2lq1bt5KSktIp8RFOC5X6kwZFUYiKiiI6Otq9oF27sZQvNh3CV4dXIb1Dye4Xx6yr+hIZ1vKmYHMi4ZNPPuHtt99m7dq1rYorbyBjZOfic6Gg1Wq56qqruPLKK3nssceIjo7mySefZMOGDcTGxvLiiy+SmZnZ0cucd1itVj7//PMG5jU5OTlcdNFFTeY/1rtIh4eH069fP4QQWCwWt8FbW/tQt4f63tf1OZsOEcR765uuifAmaj9/7r5xLKMGNu+WrVarSU5ObrTboNVqmT17Nr/97W/Jzc316Tjrefrpp3nvvff47rvvSExMBE63EPzzn//MRx99xKZNm4iLi3Pff86cORgMBpYvX+6V+gwv0iMmQYmkA3QoRsr46BuEEBw9epT8/HxWrVqFv78/M2bMICcnh6SkpCZFg1ar5dChQwwfPpyQkBCcTqc7PcngpdPu1nA6ne6TBrvdzu5j/vy0u9Tn101KjOORXw5v0Tw1IiKiySyETz/9lNdee421a9e6d/Z9jYyRnYvP3bL0ej01NTVMmjSJ6OjTNuaLFy/m9ttvp7a2lieeeIKKigpfD+Oco1evXuTk5PDee++xY8cOpk+fzieffMJFF13E/fffz9dff+1uDWcwGNi+fTvR0dH069cPOJ2zGBISQkJCAhkZGaSmpnq1M0NTqFQqwsPDSU9PJzVtYCeJBD/umj+mRZGgUqmaFAl6vZ558+bx4IMPdppIADh16hTDhw9vMKHt27ePb7/9lgsuuIC4uDh3r/DKykpWr17NggULutsEKJFIWkHGR9+gUqnIzMzk0UcfZfPmzbz//vv4+flx2223MXnyZP75z39y4sQJd/3e8ePHOXToECNHjnSnzfj7+xMbG0v//v0ZPnw4ffv29fkc6+/vT1xcHAMGDKCwMrxTREJiQusioX6D8WyRsHbtWl5++WVWr17daSIBZIzsbHwuFFQqFUFBQZw8eRLA/ce79dZb+cUvfsHu3bv54osvANrU3lPyM0FBQVx33XUsXbqUgoIC5s+fz9q1a7n44ou57bbbuOqqqygtLW3U6/hMgoODiY+Pp1+/fvTp04fIyEif9T6uqrPy9CtbO0Uk3HH9WEYPjm72Ps2JBKPRyPz587nnnnuYO3euT8d5NgMGDOD7779v8H348MMPqa2t5e677wZ+/q68/vrrJCUl+by4WiKReB8ZH32PSqWiT58+/PrXv3Ybu4WFhfGrX/2KSZMmsWjRIm688UZGjhzZbI2An58fMTExZGZmMnz4cNLS0oiMjPRZG868L46z8YdCnzz3mSTEx/LobS2LhLCwMDIyMhq91s8//5wXXniBNWvWEBXV/EacL5AxsnPxSeqR0+n8nxHI6YXm9ddfz759+9i4cSOxsbEoiuLOqZ89ezbl5eVs2bKlPZeStEBFRQVXXXUVGRkZHD16lOHDh5Obm9sm8xqbzeZOT7Lb7R0eU2WNlWdf24rV0jazuLaiVvtx+/wxjBsS0+x96kXC2YVXZrOZefPmsXDhQm655RafjrMp9u3bx80330xOTg7XXXcd77//Ph9++CH33Xcfjz/+OHB6ElSpVKSmpnLLLbfw9NNPe6XlnZfpEceqEkkHaHOMlPGx+/D666/zwgsvkJmZSU1NDddddx0zZsxg4MCBHokAl8uFXq9Hq9Wi0+m8Utfw8X9L+H5bUYefpzXi42J47PYR+Ps3X98YGhraZGfEr7/+msWLF7Nu3Tri4+N9PdRGyBjZuXhdKBw4cIDFixdTVlZGeno6N9xwA2PHjuWaa64hPDyczz77rMHC7D//+Q9Lly5l06ZNPjXmOB/5zW9+w7XXXss111yDoij8+OOPbvOaAQMGkJub2ybzGrvd7hYNbTWvqeed1Uf4cWcJTkfHRUdzqNV+3DZ/DONbEQlJSUmNXrvVamX+/PnMmTOHO+64o8uMW1asWMHvf/979Ho9/fv358Ybb+TOO+9ErVbjdDrx9/dn9erVzJs3jx9//JGRI0d2yThboUdMghJJB2hTjJTxsftQUVHBnXfeyQcffEBoaCh1dXWsWrWKFStWcOrUKa655hpyc3MZMmSIxx0G60WDVqttl2io09n45/t7qdNo29UG1VPi4mL4XTtFwqZNm/jDH/7AunXr3PUBXYGMkZ2HV4VCYWEh48ePZ9q0afTv358vv/wSg8HABRdcwK233spdd91FWFgYS5YsISMjg+DgYO68805KSkpYs2aNz805zjfqFfXZuFwuduzY4Tav6devn9u8xtMcPrvd7vZp8MS85uxxbdtXx8Yd5Rw7XuWRK7SnqNRqbps3hguGNd/hqDmRYLPZuOmmm5gyZQq/+tWvuoW74/Hjx4mNjXWPtaSkhKCgIPdRamRkJB988EF3ta/v+jdQIvEtHsdIGR+7H83FSJ1Ox5o1a1ixYgVHjx7l6quvJicnh5EjR3osGgwGg1s0tLVZiMHo5JvtFew+VEVNjQYhvNeBKTY2mt/fMbJFkdC7d2/69+/f6LVu2bKFRx55hLVr15KSkuK1MXUEGSN9j9eEghCCP/7xjxw6dIi8vDzgdArHkiVLePPNNxk0aBCPP/44d999N6WlpcTExJCSksLGjRvZvHkzw4cP7+BLkbSHevOavLw81q9fT3JyMjNmzGDq1Kke5x06HA63aGjKvKYlhBDsLtSx8acyikuqsFrb9vgzUanV3DpnDBNaaIOqUqlITExs1MLNbrdz8803M3HiRH7zm990C5FwNjabjeeff56nnnqKnJwcPv30Uz799FNycnK6emjN0f3eRInEu3gUI2V87LkYDAZ3W/JDhw5x5ZVXkpOTw7hx4zxOZTEYDOh0OjQajbsOxVPMViebtlex80AVVVV1uET7OxTGREfxuztHERjQvEgICQlp0r1527ZtPPDAA6xevZq+ffu2ewy+RMZI3+DVE4Vbb72VwsJCvv/+e/dtZrOZd999l9dff53Zs2fz+OOP8+qrr3L8+HFCQkK4/vrru7Nr3nmFEIIDBw64zWuioqLIyclh2rRpHpvXOJ1Ot2gwm9teh3DomJ6vtpZx+Eg1FrPR48ep1GqmXJpKv3gH4eHhxMTEEBYW1mCyU6lUJCQkEBYW1uCxDoeD2267jbFjx/Lb3/62W4qEM1m9ejWvv/46n332GUOHDuXJJ59k2rRp3XHHsXu/kRJJx/E4Rsr42POxWCzutuS7d+/m0ksvJTc3lwkTJnjkZQSn/ZC0Wi0ajcbdmdBTrHaFLbuq2b63krLKOlyK56IjMjKC2RNDCPBXEx0dTWRkZKNd9pCQEPr379/otRQUFHDvvfeycuVKd+fE7oyMkd7FK0Kh/vjuX//6F++//z5vvvkmQ4cOdf9ep9Px9NNP8/XXX/Pdd991iiGHpGMIISgqKnKb1wQHB5OTk8P06dNJSEjwaDGtKEoD0dCWrh1Wq5VNPxykuDKIopK6Fl2bVWo1C2eN4ZJRse7istraWgwGg9vgLTIykuTk5EYiwel0ctdddzFo0CD++Mc/dnuRcCYVFRU8+eSTlJeX89xzzzFo0KCuHtLZ9Jw3UyJpH61OajI+npvYbDY2bNjA8uXL2b59OxdddBG5ublcfPHFHncMNJvN7vSkttb9lZaeYtt+LUfLBaXlNSjO5kVHdHQUj90xil6Bfs0avEVHR5OVldVIJOzdu5c77riDvLw8srOz2zTGrkbGSO/g1ROFI0eOcOGFF3Ldddfx0ksvERkZ6f5deXk5KSkprFixwt2Tvrn8QEn3QgjBsWPH3OY1arXabV6TnJzscXeIetFgMplaFA1Wq5VDhw6RmZnpXtifqjTzxY/l7C+sRKfVue+rUqlZMGs0l46Oa/Q8Zxq81Z8mxMfHExMTg7+/P4qisGjRIlJTU3n22WflZ9H7yDdUcq7jcYyU8fHcxeFw8M0335CXl8eWLVsYN24cOTk5XH755R4XoVssFrdoaK3ur6ysDKPR6K4jUBQXOw9q2LKrkhOlNTgcP4uO6KgoHrvztEg4m3qDN5PJREJCgjtGhoaGolKpOHDgAL/85S/5+OOPu+Mi+1ygR3zBvd716JtvvmHKlCnceuutPPXUUyQkJABQU1PD5MmTefHFF7n88svbN1ovYzabCQgI8JlfwLmIEILS0lLy8/P59NNPcTqdTJs2jZycHNLS0jwWDSaTCaPRiNlsbtAdoimRcDbVGitfbCln7+EqrpvYj8vGtNyerT7dyGAwUFVVxdatW3n//ffp3bs3mZmZvPTSS92xbdq5QI+YBCWSDtCmGCnj47mP0+nku+++Iy8vj40bNzJy5EhycnKYNGmSxwW1NpsNjUaDVqttVPdXVlaGyWRqsiMRnI7Re4p0fL+zAr3Rxq8XDKFXUPNGqr169SIrKws4/TmsqqripZdewuVyUVBQwPLlyxkxYkQb3gFJG+gRMdInPgpr1qxh7ty5XHPNNcyZM4eRI0fy/vvv884777Bt27YWjb86i/3793PLLbfwhz/8gRkzZsiFYjsQQlBRUcGKFStYsWIFRqORqVOnkpOTQ//+/T0SDUIIt2iora3lwIEDLYqEthIfH9/IMdLlcnH//fdTXFyM3W4nMjKSxYsXc8EFF3jlmhI3PWISlEg6QJtjpIyP5w+KorBlyxby8/P56quvGDx4MDk5OUyePLmRf09z2O12NBoNOp2OoqKiFkVCWwkKCiI7Oxt//4ZCYt++fdx///3Ex8dTUlLCFVdcwd///nf5OfA+PSJG+kQoAOzcuZOHHnqII0eOuHclPvzwQ0aNGtXep/Qax48fZ8qUKZw4cYLevXvz5ptvct1118kvQQeprq5m5cqV5OfnU1tby5QpU8jJyfHIvMZisbBr1y53oZTZbG5zS7mziYuLa3C8D6dFwuOPP47VauWVV15BrVZTUlKCv78/qampHbqepBE9YhKUSDpAu2KkjI/nHy6Xi23btpGXl8cXX3xBZmYmOTk5XHvttR5tjJWUlFBXV0dKSgp6vR6j0fNmH00RFBREVlZWoxOj48ePM3/+fN544w3GjRuHw+Fg586dciPNN/SIGOkzoQCg1+upq6vDaDSSmJjoceccX+JwOPjXv/7Fpk2beP7553nmmWdYtWoVy5Ytk5OhF6mrq2P16tXk5+dz6tQpJk+ezMyZM5s0r7FYLOzevZvBgwe7fRyEEFgsFrfBW1tFQ1MiQQjB4sWLqampYcmSJR53qZC0mx4xCUokHaDdMVLGx/MXl8vF7t27Wb58Of/9739JSUlxuwyfHbcAjh07hsFgYOjQoe6/gdPpdNc0GFpo9tEUgYGBZGdnNxIJpaWlzJs3j1dffZUJEya0+/VJPKZHxEifCoXuypdffolOp2POnDkALFiwgDVr1vD+++8zZcoUuYD0MjqdjrVr17JixQqOHDnCVVddRU5ODqNGjaKwsJCioiImTpzYotnbmaKhtT7UsbGxjTwghBD85S9/4fjx47z99tvyb9w59IhJUCLpAOdcjJTxsXMRQrBv3z63l1FMTAy5ublMnTqVmJgY8vLyyMrKYtiwYc0KNUVR3KJBr9e3eL3AwECysrIaFVmXl5czZ84cXnrpJS677DKvvT5Ji/SIGHneCAWn04miKM320V24cCGrV69m2bJlTJkyBYCvv/6aMWPGeGw8Jmkdo9HoNq/ZvXs3ZrOZ3/3ud9x0000eByCr1eoWDWf3oY6JiSE6OrrBbUIIXnzxRfbv38/777/fKB9T4jN6xCQokXSAcyJGyvjYPRBCcPjwYfLy8li7di12u53AwEDee+89jzsMKoqCTqdz/5y5xgsICCA7O7uRSKisrGT27Nk8//zzTJo0yeuvS9IsPSJGnhdC4cCBAyxevJiysjIyMjK49tprueGGG4DTR631x2/1k+E777zD2rVr2bx5Mxs3biQ+vuWuOpK2c/ToUWbOnMnNN99MQUEBBQUFDcxrPF3M22w2t2gICwtrUiT8+9//ZuvWrXz88cc+7+BhtVq7q1V8V9AjJkGJpAP0+Bgp42P35P/+7//YvHkzF198MWvWrCEwMJDp06eTm5tLYmKixx0G9Xq9u3tSRkZGIzFYU1PDrFmzePbZZ7n22mt99XLcyBjZgB4RI895oVBYWMj48eOZNm0a/fv358svv8RkMjF69GiWLl0K4FbtADfffDPvvfceoaGhfP3114wdO7Yrh3/O8p///IexY8cyevRo4Gfzmry8PLZt28aECRPIzc3lkksuaffiXgjBf/7zH77++mvy8/M97mfdHgwGA6tWrWL9+vUUFRWxcOFCFi1adL73QT+vX7zkvKBHx0gZH7snJpOJp59+mj/96U/4+/sjhODkyZPutuQul4tp06Yxc+ZMUlNT2x1n6urqmDVrFk888QTTpk3z8qtoiIyRTdIjXvw5LRSEEPzxj3/k0KFD5OXlAae76SxZsoQlS5YwdOhQPvroI+D00atareb+++/nww8/5LvvvmPw4MFdOfzzFofDwbfffkteXh7ff/89Y8eOJTc3t03mNUII3nrrLdatW8enn37q8x2Me+65h1WrVjF58mSGDRvGyy+/zNy5c3nuued8et1uTo+YBCWSDtBjY6SMjz0TIQTl5eXutuRms9ntZZSRkeHxwlur1TJ79mweffRRZs6c6eNRyxjZDD0jRgohWvrp8dxyyy3ioosuanCbyWQSr732mhgxYoT43e9+57596dKlQqVSie3bt3f2MCXN4HA4xDfffCPuvfdeMWTIEHHjjTeKTz75RNTW1gqTydTsz6uvviquuuoqYTabfT7Gzz//XAQHB4s33njDfVteXp6IiooShw4davBazjNam1/kj/zp6T89Ghkfez6VlZXitddeE1dffbUYO3aseOKJJ8SOHTuE0WhsNj6Wl5eLiy++WHz00UedMkYZI5ulq+cvj37O2V5nQpze6Bk9ejROp5N9+/a5fxcSEsL8+fOZNGkSGzZsoLq6GoDhw4dz9OhRxowZ0yVjljTG39+fyy+/nJdffpndu3dzzz33sGXLFiZOnMgtt9zCp59+islkavCYjz76iI8//piVK1cSHBzs8zE+/fTTXHvtte4uIQAjRozA5XJhtVoB+P7771m0aBEXXXQRDz30ELW1tT4fl0QikTSFjI/nDvHx8dx111188cUX/Pe//yUtLY0nnniCyy67jGeffZZ9+/bhcrnc9zcajcyfP5+7776b66+/vlPGKGNkD6cVJdHjKS4uFrGxsWLhwoVCo9E0+F1ZWZlQqVTi008/7ZKxSdqPoihi69at4pFHHhHDhw8XM2fOFG+99ZZYsmSJuOyyy4Rer++UcRQWFgqVSiX++9//Nrj9k08+EcOGDRNbt24VK1asEOnp6WLs2LHi1VdfFRdddJGYOHGiMBgMnTLGLqTLd0Lkj/zx8U+PRsbHcxeNRiPeffddkZubK0aMGCEefvhh8dVXX4krrrhCvPnmm502DhkjW6Sr5y+Pfs7pSbCer7/+WgQFBYm7775bVFRUuG+vrq4Wo0aNEt98803XDU7SYRRFEQUFBeLRRx8VaWlpjQKeL1m8eLHo37+/KC8vd99mt9vFU089JQYNGiT2798v0tPTxf333y+qqqqEEEIcPnxY9O3bVyxdurTTxtlFdPkEJ3/kj49/ejwyPp776PV68dFHH4nx48eL++67T7hcrk67toyRLdLV85dHP+dFQ/krrriC5cuXM3fuXMrKypgzZw4jR47k/fffp6ysjMzMzK4eokcIIc73DgFNolarGTlyJCNHjuz0wqhTp04xfPjwBmZxe/fuZdOmTYwbN47t27dTW1vL73//e+Li4gDIzs7G39+fqqoqQP5dJRJJ1yHj47lPWFgY119/faelGp2JjJE9n/NCKABMnz6dLVu28NBDD/GHP/yBgIAAAgIC+Oyzz+jTp09XD68Bhw8f5vXXX6esrIyRI0cyefJkRo8ejUqlkl+YbsaAAQNYtWoVQvzc/OTDDz+kqqqK3//+9zz11FMsXLiQhIQEFEXBz8+P4uJiIiIi3AZz8u8pkUi6EhkfJb5CxsiezzlbzNwUo0ePZtWqVWzatIlVq1axefNmRo0a1dXDasCBAwe44IILKCwsxM/PjxdffJEHHniAF198EcA9GUq6B5MnTyYlJYUXXniB7du38+tf/5q3336bm2++mQEDBvD9999z8803Az9Pdt9//z1qtZq+fft25dAlEonEjYyPEl8gY2TP55z2UehpOBwObr/9dgICAnjjjTcAKCkp4U9/+hM7duxg9uzZ/OEPfwDkUVx3YsWKFfz+979Hr9fTv39/5s+fz7333svy5ct5+OGH+e6779wTntls5t5776WkpIQVK1Y0cpI+x5AfUMm5joyRnYSMjz0XGSObpUd8SM+rE4XuTkBAAOXl5e5WZkII0tPTWbx4MRdffDGrV69m2bJlgDyK607MmjWLQ4cO8cMPP/DZZ59x7733ApCYmIher6ewsNB931WrVrFv3z6mTJlyrk+AEolE4jVkfOy5yBjZs5FCoZugKAoOh4PU1FRqa2vd3gAul4vk5GQefvhhIiIi+Pjjj7t4pJLmSEtLo3fv3u7/jx8/nosvvph3332XgoIC3n77be666y5GjRrFL37xiy4cqUQikfQcZHw8N5AxsmciU4+6GKfTib//zzXlGzduZNKkSfz1r3/lwQcfBE5Phmq1mq1btzJhwgR27tzJyJEju2jEEk+oP/revXs3DzzwALt372bAgAEMGjSIN954w12kdY4jt/Uk5zoyRvoQGR/PXWSMBHpIjDxvuh51RwoLC1m2bBk33XQTWVlZAEycOJHnnnuORx55hJCQEO6++27U6tMHP6GhoQwaNIiQkJCuHLbEA+qPvkeMGMG3335LTU0NDoeDpKQkQObQSiQSSUvI+HhuI2Nkz0EKhS6iuLiYiy++mNraWrRaLb/5zW9IT08H4J577sFkMrkLembNmkW/fv14//33sVqtREREdO3gJW0mNja2wf/lBCiRSCRNI+Pj+YeMkd0XmXrUBZhMJh544AEcDgcXXXQRDz74ILfccguPPPKIezJ0uVwsW7aMRx99FCEEkZGRGI1G1qxZ0+1a1kkkzSBnesm5joyRXkbGR8l5RI+IkfJEoQtQq9WMGjWK6OhobrjhBhISEtyFOw8//DD9+vVDrVazYMECLr30Uk6cOIHFYmHo0KGkpKR08eglEolEIvENMj5KJN0LeaLQRZhMpgbVswyXzQAABAFJREFU/ytWrGDBggXcfPPNPProo6Snp+N0OikrK5OmI5KeSo/YLZFIOoCMkT5AxkfJeUKPiJHyRKGLqJ8EFUVBrVYza9YshBAsXLgQlUrFr3/9a1577TVKSkp49913CQkJkTl7EolEIjnnkfFRIuk+yBOFboAQAiEEarWaFStW8Mtf/pKYmBhOnDjBtm3bZKs3SU9FRm7JuY6MkT5GxkfJOUyPiJFSKHQj6tuBTZ48mR07drBx40aGDh3a1cNqQGVlJTabTR73SjyhR0yCEkkHkDGyk5DxUXIO0iNipHRm7ka4XC4efPBBNmzYwDfffNPtJsGDBw+Snp7O3XffTWlpaVcPRyKRSCTnCTI+SiRdgxQK3YwhQ4awc+dOhg8f3tVDaUBlZSV33HEHEydOZOfOndx1111yMpRIJBJJpyHjo0TS+bSWeiTpZFQqlUp0wz+KSqW6FlgIPA/YgG+A7cBdQgg5I0okEonEp8j4KJF0PlIoSDxCpVLFAkOFEN/+7/9Dga+BbcDdQoiT/7tdLYRwddlAJRKJRCLpRGR8lJzLSKEgaRaVSuUvhHA2d7tKpRrC6Z2TbcBdQBVwG1AshPiyc0crkUgkEknnIOOj5HxBCgVJk6hUqmzgF8D7Qoii/93mPvat/7dKpRoMfAtsBfTAXGCQEOJI14xcIpFIJBLfIeOj5HxCGq5JGqFSqfoD3wMxQKRKpfq7EKLkzNzQ/02CKiHEAZVKdTVQAGiAC+UkKJFIJJJzERkfJecbUihIGqBSqXoDjwHrgS3Ai4C/SqV6XghRcuZ9/zcZBgF3ACbgUiHEgU4eskQikUgkPkfGR8n5iBQKkrNxcXr3o04I8aFKpaoElgE0NRkCw4HLgSvlJCiRSCSScxgZHyXnHbJGQdIIlUrVWwhhOuP/s4D3gHeA54QQx1UqlRpIEUKcVKlUUUIITVeNVyKRSCSSzkDGR8n5hjxRkDSifhJUqVR+gEsIsUKlUqmAdwGhUqn+AdwNZKhUqhvlJCiRSCSS8wEZHyXnG/JEQdIi/5sAVUII1/92TpYCtUBfYLwQoqBLByiRSCQSSRcg46PkfEAKBYlHnNHu7QtgDDBRCLGvq8clkUgkEklXIuOj5FxGph5JPEWtUqmeB64CRspJUCKRSCQSQMZHyTmMuqsHIOlR7AdGCyH2dPVAJBKJRCLpRsj4KDknkalHEo8503lSIpFIJBLJaWR8lJyrSKEgkUgkEolEIpFIGiFTjyQSiUQikUgkEkkjpFCQSCQSiUQikUgkjZBCQSKRSCQSiUQikTRCCgWJRCKRSCQSiUTSCCkUJBKJRCKRSCQSSSOkUJBIJBKJRCKRSCSNkEJBIpFIJBKJRCKRNOL/AYneFyCpT8f0AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from qiskit.visualization import plot_state_city\n", "\n", @@ -1329,82 +1151,19 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "e30a6408", "metadata": { "scrolled": false }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimization terminated successfully.\n", - " Current function value: 0.010012\n", - " Iterations: 11\n", - " Function evaluations: 23\n" - ] - }, - { - "data": { - "text/plain": [ - "(0.0, 1.0)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "qaoa=QAOAChoose(CR, FR)\n", "\n", "mu=1\n", "\n", - "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv)\n", - "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv)\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv, mixerbinstring='01<->10')\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixerbinstring='01<->10')\n", "\n", "# plot landscape\n", "_=getfig(Ecost)\n", @@ -1424,96 +1183,22 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "id": "77cd733f", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "_=getfig(Ecost+.001*Eexco)" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "id": "e256ae68", "metadata": { "scrolled": false }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimization terminated successfully.\n", - " Current function value: 0.504770\n", - " Iterations: 16\n", - " Function evaluations: 32\n" - ] - }, - { - "data": { - "text/plain": [ - "(0.0, 1.0)" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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AHeAMp2qJL+PHj7fmef31192OyTjpWKJECZOQkOAxVvPmzY0kU7FiRVvNWu5cuHDBqi+NGzf2KwaArOrVq2ek9NtoO2HMmDFGkqlXr55JSkqy1RSZV/skxtAUCeSF/Nzfz2lT5Lhx46zx7733nsdx3o6vZm5gePjhhz3G2LZtmzVuwIABttcJQLq8qCUnT560Ytxwww0ex61fv94ad/fdd2db7kQtsWPLli3W81u1apXj5wOF1eXSFOlULaEpEri8cR++QmjWrFnW48cff9ztmKCgID366KOSpISEBC1cuDBHcxhjNHv2bElSdHS0mjZt6nZc06ZNVa9ePUnS7Nmzs9yiQZK2bdumzZs3S5Luu+8+hYWFuY3z2GOPWY+///77bMvnzJmjtLQ0SZ7XOXOctLQ0zZkzx+M4AOnyo55I0gcffCBJCg8PV58+fXKeqKTVq1dLkurUqaO6det6HHf77bdLSr9Ntrs6kJycbD2uVauWxzi1a9d2+xwABVupUqWsx+fPn8+23Kla8uuvv2r79u2SpBdffFEhISG5yhuAPa1atbIe5/Q2cBlOnz6tBQsWSEq/TW21atXcjrv77rtVunRpSe4/ozhVTy7Wu3dvnTlzRjExMWrZsqXP8QByzolaYsf06dMlpd/aOuMzVWbnzp3TX3/9JUlq1qyZwsPDPcbKqCX//POPdeuonAoJCbFuve1uPwlAzmV8/nDiPbVnzx699tprkqTx48eraNGitp6XV/skAPJGQd7fd+K4aUZNkqT27dt7jFG3bl0rzrfffpvjXIHCLi9qiVPnTvLrHEzG5y2JW2cDgYjzuQAkiabIQmjJkiWSpBIlSqhRo0Yex2XeCV66dGmO5ti1a5cOHjyYLY63eQ4cOKDdu3e7zdVXnEqVKikqKspjrnbj5GadgcIoP+pJcnKy1WTdrl076yRcamqq9u3bp927d9s6eXDs2DFJ0hVXXOF1XObl//3vf7Mtz2jklqS///7bY5yMk6Mul8vrSQUABcuMGTOsx9HR0dmWO1VLZs6cKSm9Rtx5553W748fP67t27fr+PHjOUscgC1JSUnW4+DgYL9irFq1yjpA5u2zRdGiRa0vh61atUoXLlzIstypepLZ119/rR9++EHlypXTO++843UsAP85UUt82blzp5YtWyZJuvnmm3XllVdmG5N5f8HJWuLJggULFB8fL8n9fhKAnNm6davWrVsnyZn3VK9evXT27Fl169ZNt9xyi+3n5cU+CYC8UdD393N63PTi50j/q0mS/bq0e/du7d27N0e5AoVZXtWSiIgIlStXTpL/NeDi3+UmjjfGGH322WeS0s9vde3aNUfPB1Dw5UctAVDw0RRZCGVcebFOnTper0qU+WBcxnPs2rRpk9s4OZ3Hnzj79u3T2bNn3cYJDw9XpUqVPMaoXLmydTWXnK4zUBjlRz1Zv3691fR47bXX6tSpU+rfv78iIiJUvXp11axZU+Hh4WrXrp0WLVrkMU7JkiUlSSdPnvQ6X+blmWtQhgcffNCqE6NGjVJqamq2MXFxcfrxxx8lSQ899JA1HkDBk5aWpiNHjuj3339Xly5drINh0dHRuu2227KNd6qWrFixQpJ05ZVXqlSpUvriiy907bXXqnz58oqKilL58uVVr149vfPOO1kaLwDkzuLFi63H9evX9yuGP59RUlJSrKvDZnCqnmRISEhQv379JKXvo0RERHiNC8B/TtQSX+xctSSjjkjO1ZKLnT59Wps2bdLQoUPVpUsX6/cZ9QZAziQmJmr79u3697//rZYtWyolJUWS1L9//1zFnTFjhubNm6eyZctqzJgxOXqu0/skAPLG5bC/f9ttt6lmzZqSpHHjxmU7TyNJ+/fv19SpUyVJLVq00DXXXJNleX7s3wCFWV7XkqefflqStHbtWv38889uxwwbNkxS+pXou3fvnm25E7XEl0WLFlnN1HfffXeW2gPAnpkzZ+qqq65SWFiYSpUqpbp16yomJsavOwZ6c+utt6pixYoqWrSoKlasqFtuuUUjR47UiRMnvD4vL2rJyy+/rBo1aqhYsWIqW7asGjZsqGeffVbbtm3zb+UA5DmaIguZ8+fPW9/q93Sbtwxly5ZViRIlJKU3GubE/v37rce+5omMjLQeXzyPP3GMMVmelzmOrxiZ4+R0nYHCJr/qSeYDWmlpaWrcuLHGjRunhIQE6/fJycmaP3++WrdurVGjRrmNk3GycvPmzTp69KjH+TJf7cDdN4wjIiL06aefKiwsTEuXLlWTJk00ffp0rVixQvPnz9frr7+uli1bKjk5WTfccEOOT0YAyB9XXnmlXC6XgoODValSJbVp00azZs2SlH4rhe+++85ts7cTtSQtLU1btmyRlF5T+vXrp4cfflgbN27MMm7btm0aOHCgWrdunaXmAfBPWlqaRo4caf37vvvu8yuOU591nNo3yfDCCy/o8OHDat68uZ588kmveQHwn1O1xJvMVy0pXry47r33XrfjwsPDVblyZUnpX7jwdpsnu7VEkoYOHSqXyyWXy6XSpUvr6quv1uuvv67Tp08rODhYH3zwgVq0aJHT1QIKralTp1rvqRIlSigqKkoDBgzQkSNHJEmDBg3SQw895Hf8EydOWE2VI0eOVIUKFXL0fKf3SQDkjcthf79o0aL64osvFBERoZ07d+r666/Xxx9/rKVLl2rRokUaM2aMGjVqpBMnTqhWrVqaPHlythiZv3CS+YsoF/vnn3+sYysSdQmwK69ryUsvvWR90fyuu+7S888/r59++kmrVq3SV199pVtuuUXffPON9bnC3ZdNnaglvmT+Etqjjz7q/woDhdimTZu0efNmnTt3TmfOnNGOHTs0ffp0tW7dWl26dPH55Qa7fvvtNx09elQXLlzQ0aNHtXjxYg0ePFi1atWy7jToTl7UkmXLlmnv3r1KTk5WQkKC1q1bp3fffVf169fX0KFDZYxxZJ0BOIemyELm9OnT1mM733rJaGI6c+ZMns2TMYe7eZyOk5frDBQ2+VVPMt8SbtSoUdq+fbtuv/12rVy5UufPn9c///yjjz76SOHh4TLGaNCgQW53gjt16iQp/bbbr7zyitu5tm/frilTplj/zryOF8das2aNunfvrnXr1ikmJkbNmjVTu3btNHToUIWFhendd99VbGysz9u8ACg4QkJC9Oabb2rdunUer/rkRC05efKk0tLSJEkbNmzQe++9p8qVK+uzzz7T8ePHlZiYqMWLF1u33V22bJmeeOKJXK8fUNiNHTtWK1eulJR+FYBGjRr5FcepzyhO7pvExsZq4sSJCgkJ0fjx4+VyubyvBAC/OVVLvFmyZIl1a6cuXbqoVKlSHsdm1JL4+HiPX8hasmSJdSV7yXMt8aVNmzbauHGjevfu7dfzAWTVoEEDrVy5UiNGjMjV/90DBw7UkSNH1KxZMz311FM5fr6T+yQA8sbltL/ftGlTxcXF6fnnn9fevXv19NNPq0WLFmrVqpWef/55JSYmatiwYVq1apXq1q2b7fktWrRQ2bJlJUlTpkzJdsX9DK+++mqWO/hQlwDf8qOWlChRQj/88IMmTZqkatWqacyYMbrjjjt044036oEHHtDixYt19913a/ny5erZs6fHOLmtJd4kJibq22+/lZT+ZdfWrVvnap2BwiYsLEwPPPCAPvnkE8XGxiouLk6//vqrXn75ZZUvX16SNGvWLHXu3FkXLlzwe55rr71Wr776qubOnas1a9ZoxYoVmjZtmm699VZJ6Ve+7dq1q3766SePMZyqJZUrV1bv3r315Zdf6o8//tCaNWv0/fff68knn1SRIkWUlpam119/XS+//LLf6wsgjxgUKnv37jWSjCTTrVs3n+MjIyONJFO7du0czfPGG29Y8yxYsMDr2AULFlhjhw0blmVZ69atrWWpqale47z66qvW2NjY2CzLgoKCjCRz8803+8z95ptvNpJMcHCwz7FAYZZf9WTYsGHWPJJMu3btTEpKSrZxsbGx1nu9fv36Ji0tLcvyhIQEU7VqVSvOI488YtavX2+SkpJMfHy8mT59uqlUqZJxuVymSJEiXutAUlKSGTx4sKlQoUKW3DL/NG7c2MyePTtH6wog3a5du6z3UkxMTJ7MsXXrVrNhwwazfv168/vvv5thw4aZKlWqmKJFi5pu3bqZ06dPu32eE7Vk3759WepFWFiY2bJlS7a5EhMTzfXXX2+NW7FiRZ5sC6AwWLRokQkJCTGSTMWKFc2RI0f8jvXEE09Y78udO3d6HTtp0iRr7KeffpplmVP7JklJSSY6OtpIMgMHDsy2fMiQIdYcCxcu9Hu9AThbS7x56qmnrPftzz//7HXs33//bUqVKmUkGZfLZfr372+2bdtmkpOTzaFDh8wHH3xgSpUqZYoWLWrF9PWZ7MiRI2bDhg1mw4YNZsWKFWbKlCmmVatWRpK57rrr2CcBcujEiRPWe2rlypXmyy+/NF26dLHej3PnzvU79uLFi43L5TIhISFm/fr12ZbXqFHDSDI1atTwGMPJ4yUXy4/PdkCgu5T7+zExMVbsXbt22XpOWlqaefvtt0316tU9HjeNjo42kyZN8hjjnXfescZWrlzZTJ8+3cTHx5ukpCSzfv168/DDDxtJWfZvLj63BCCr/KwlS5cuNa1atTIul8ttDShVqpTp2bOnSUhI8BjDiVriyeeff27FGDRoUG5WFSiUTpw44XHZ4cOHTcOGDa332Lhx4xyfwxhjxo8fb81RpUoVc+7cObfjnKglZ86cMcnJyR6X//HHHyY8PNw6LrNu3Tpb6wggf9AUWcj8888/VoG///77fY6vWLGikWSuueaaHM0zevRoa56ffvrJ69h58+ZZY995550sy+644w5rmaf/zDK88MIL1tjVq1dnWRYWFmYkmX/9618+c7/xxhuNJFOyZEmfY4HCLL/qydtvv51l53Tt2rUex95zzz3WOHcnA1avXm3l4elnxIgRVrNjmTJlssU4c+ZMlubpF154wWzevNkkJSWZkydPml9//dW0aNHC2vkdM2ZMjtYXwKU7cXb8+HHTpEkT64S/p8bI3NaSo0ePZhn7f//3fx5z+uGHH6xxzz77rKPrCxQWGzduNGXLljWSTGhoqFm8eHGu4vXq1ct6X27evNnr2P/85z/W2G+++Sbbcif2TTJOXFSvXt2cOXPG43KaIoHccbqWeHLu3DlTpkwZ68C+uy+EXWzevHmmZMmSHutIcHCwmTBhgvXvBg0a+JXbm2++aa3/L7/84lcMAP8zffp043K5TFBQkJkyZUqOn3/+/HlTr149I8kMGDDA7Rg7TZHGOLNP4g5NkUDuXcr9/Zw2Raamppp7773Xes6TTz5p1q5da86dO2fOnDljlixZYjp16mQt79evn9s4aWlppnv37l5rUs2aNc0rr7xi/fvdd991dN2BQJNftWTmzJmmWLFi1vHV77//3hw7dswkJyebnTt3muHDh5vixYsbKf3iFgcOHMgWw6la4sltt91m+7gOgJzbuXOn9WWqOnXq5Nk8Tz75pPVe/uyzz7Itz+taktmnn35qxenevXsu1gqA07h9diGT+ZZLdm5he/bsWUn2bo3r7zwZc7ibx+k4ebnOQGFzKepJhQoV1LBhQ49jb7vtNuvxqlWrsi1v1KiR1q1bpz59+mS7rXWTJk30ww8/aNCgQdbtVjJu1ZLZ0KFDFRsbK0maNGmSRo0apejoaBUtWlSlS5dWu3bttHDhQrVq1UrGGA0cOFDr16/P0ToDuDTKli2radOmSZL+/PNPDR8+3O243NaSi2+BmXG7B3fatGmjkJAQSe7rGgDvdu3apVtvvVUnTpxQcHCwZsyYof/3//5frmI69RlFyn092bJli0aMGCFJev/997PcrhuAc/KilngyZ84cJSQkSJIefvhhBQcH+3xO+/bttXbtWj366KMqU6aM9XuXy6VWrVopNjbWuj2u5P5zjh0vv/yybrzxRp0/f15PPfWUUlJS/IoDIF23bt107733Ki0tTX369NHx48dz9Py33npLW7duVWRkpF5//fVc5eLE8RIAzrvc9vc/+ugjzZw5U1L6MdSJEyeqYcOGCg0NVYkSJdS8eXPNnj1b3bp1kySNGzdOc+fOzRbH5XLpk08+0cyZM3XTTTdl2R8KDw9X7969tXbt2iyfsahLgGf5VUuOHDmixx57TElJSbr66qu1bNky3XXXXSpXrpyKFCmiWrVqafDgwZo7d65cLpc2b96svn37ZovjVC1x59ChQ5o/f76k9H2c6Ohoh9YeQIZatWqpXbt2kqQdO3bo4MGDeTJPz549rceLFy/Otjwva8nFHnjgAZUuXdpjLgAunZBLnQDyV2hoqMqXL69jx45p//79XseeOHHCOokXGRmZo3mqVatmPfY1z759+6zHF89zcZyIiAifcVwuV5bnZcQ5cuSIz1wyx8npOgOFTX7Vk8zjL35vext79OhRt2MqV66s999/X++//74OHz6sU6dO6YorrlB4eLik9Fpz/vx5SdLVV1+d5bnGGE2ePFmSFBUVpZiYGLdzhISEaNiwYWrRooXS0tI0depUjR071seaAigI6tevr7p162r79u365ptvPDZG5qaWFCtWTBUqVLDqlLe6GBoaqoiICB0+fNhjXQPg3sGDB9W2bVsdPHhQLpdLkydPVufOnXMd9+LPKI0bN/Y41ttnnQy5qSdjx45VcnKyatWqpcTERM2YMSNb/I0bN1qPf//9dx0+fFiS1LFjxwJ/UhUoCPKqlngyffp06/Gjjz5q+3l169bVtGnTlJaWpkOHDikxMVFVqlSx3udLliyxxl5cS3Kic+fOWrlypfbu3auVK1fqpptu8jsWgPT31Ndff62zZ8/q559/1kMPPWT7uaNGjZIktW3b1uPJu4xjMWfPnrX2EypWrKjWrVtnG5ubfRIAeeNy29+fOHGipPQvkg0aNMjjuOHDh+vTTz+VJE2ePFkdO3Z0O+6ee+7RPffco8TERB0+fFghISGqWrWq1SS5fft2ayx1CfAsv2rJjBkzrH2Pl156yePz2rRpozZt2mj+/PmaNWuWTpw4kaWx2elaktnnn3+u1NRUSTn7vAUgZ6666irNmzdPknTgwAFVqVIlT+bIcODAgWzL87KWXCwkJERRUVFavXq121wAXDo0RRZCV111lWJjY7Vjxw6lpKRYVx+62JYtW6zH9evXz/Ec7uLkdJ6L4zRo0MBnnMjIyGw72ldddZXWrFmjkydP6vDhw6pUqZLbGIcOHdKpU6fc5gIgu/yoJ5kPaGV8WPUk83JPuWRWqVKlbPVgzZo11uMbb7wxy7IjR45YV27wdsVKKf0qCxl81UEABUuFChW0fft27dmzx9b4nNYSKb22LVq0SJL92manrgFIFx8fr3bt2unvv/+WlH4lBKcOdvvzWSckJER169b1GTun9SQpKUmS9Pfff+vBBx/0GX/YsGHW4127dtEUCfiQl7XEnX/++Ue//PKLJOmGG27QNddck+MYQUFBqlq1arbf+9o3satChQrW4z179tAUCeTSxe+pnEhOTpYkTZkyRVOmTPE6Nj4+3tpXaNmypdumyMz8+YwDwHmX2/7+5s2bJaV/ZipWrJjHcdWqVdMVV1yhI0eO2DpuGhYWplq1amX7fUZdCg0N1XXXXedn1kDgy69aklEDpPTPM940atRI8+fPV1pamrZt26Z//etf2eI4XUskWY1PRYsWtbUtAPjH5XJd8jnyspb4kw+AS4PbZxdCLVq0kJT+DeHMB7MulvnSvs2bN8/RHDVr1rQ6/n1dIvi///2vJKlq1aq68sor3ebqK87hw4e1bds2j7najZObdQYKo/yoJzVq1FD16tUlSbt375YxxuPYnTt3Wo/dnQi0I+NS6pJ0//33Z1mWuSHJ163iLly44PZ5AAq+jG/yubvVrV3eaomkLLfczGi0cOfUqVOKj4+X5H9dAwqbkydP6rbbbtOmTZskSSNHjlTv3r0di9+kSRMVLVpUkvfPFsnJyVqxYoX1nCJFivg1n696AiBv5HUtceeLL76wPmc43XyZUUuKFy/u11UPMmS+4kFu9pUApLuc3lPskwDwJeMYqK/jptL/jp36e9x0x44dWrdunSSpS5cufn/eAuAcp86f5FUtWbdunf78809J0h133KHy5cv7fA4A/2QcS5GUJ1eJtDNHfu6XpKSkWL0qebW+APxDU2QhdNddd1mPPX2LOC0tzbplU5kyZdSqVasczeFyuazbSW3ZssU6GXixFStWWB33nTt3ztZBHxUVZV1V7uuvv1ZiYqLbOFOnTrUed+nSJdvyTp06KSgo/c/d2zenM+IEBQWpU6dOHscBSJcf9USSunbtKim9OWjBggUex3333XfW48zN0HZt2rRJX331laT0209FRUVlWV6uXDmVLl1akrR8+XKvO9KZmyRq1qyZ41wAXBqrVq2yrtBy7bXX+hXDVy2R/lfXJOn777/3GOv777+3msFvvvlmv/IBCpPExER16NBBa9eulSS9/PLLevHFFx2do1SpUmrTpo0kaf78+dq/f7/bcd999511FXp3n1Hs8FVPpk6dKmOM158hQ4ZY4xcuXGj9/uIvpAH4n/yoJe5kfG4qUqRIjm6h68uvv/6qpUuXSpIefvhhlSlTxq84aWlp+vbbb61/+7uvBOB/Mjca5vQ95WsfwBijGjVqSEr/wmnG7zKuWJ8Tdj7jAHDe5ba/n3EMdOPGjUpISPA4buPGjdbdePw9bvraa69Zj/P6iyvA5S6/aknm93NsbKzXsRkXzHG5XNnmyKtakvF5S5JiYmJ8jgfgn127dum3336TJNWuXTvPLvbw8ccfW49btmyZbXl+7pd89dVXOnnypMdcAFw6NEUWQjfeeKN1Un3SpElavnx5tjFjxoyxLincr1+/bN+yW7RokVwul1wulx577DG38/Tv31/BwcGSpL59++rcuXNZlp87d059+/aVlN51379/f7dxnn/+eUnS8ePH9cILL2RbvnPnTo0YMUKSVKdOHbcnHCtVqqSHH35YkvTLL7/om2++yTZm5syZ1m2qunXr5vEW2wD+Jz/rSWhoqCTpueeesxoMMvvss8+sA/sdOnRQZGRktjGZr8BwsX379qlz585KSUlRsWLF9P7772cbExQUpA4dOkiSDh48qLfeesttrBMnTmQ5aXrnnXd6nBeAM6ZOnWrVkqFDh2ZbvnLlSquxwZMDBw5kOSDm6QpNua0lknTdddepffv2kqQvv/zSbcP34cOH9corr0hKv6XL448/7jV/oLBLTk5Wly5drMaffv366c0338xxHF/1RPrfZ5SUlBT17t3bus19hvj4eGtfoEyZMurevbvbOE7UEwDOys9aktlff/2luLg4SdLtt9+e5Za6vnirJRs2bNAjjzwiSSpfvryGDx/udtwnn3ySrZZllpaWpgEDBmjjxo2S0r+sQXM14NnUqVN1/vx5r2PGjh2refPmSUo/+Xbxl6DsHC9xCvskQGDL6X6JvzKuRp2UlKTnnnvO7R1/zp8/r//7v/+z/u3uuOnp06d15swZj/OMGjVKX375paT0Yzfc9QvIH75qSYcOHayL37z11lse9y8mTJig1atXS5KaNm2a7YqNTtWSzFJTU/XFF19ISv9clHGeB0DOzJ071+sFY44cOaKuXbsqOTlZktSrV69sY3zVkg0bNmjHjh1e85gwYYImTpwoKb0PxF1/iBO15MSJEz6/VLZy5Ur16dNHUnqj9zPPPON1PID8xf08C6lx48apefPmOnfunG699Va99NJLatWqlc6dO6cZM2ZowoQJktKv1DhgwAC/5oiKitLAgQM1cuRIrV69Ws2bN9eLL76o2rVra+fOnRo1apR1wH/gwIGqW7eu2zgxMTGaPHmyli5dqg8//FCHDx/WU089pbJly2rlypUaNmyYTp06paCgIL333nseL2v81ltv6eeff9bRo0f14IMPavXq1dZ/bD/88IPGjBk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\n", 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- "text/plain": [ - "
" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "sv=job_b.result().results[0].data.statevector\n", "plot_state_city(sv)" @@ -1587,21 +1260,10 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "id": "9857366d", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "P= [3.40470278]\n", - "P= [2.35757073]\n", - "[3.40470278 3.40470278]\n", - "[2.35757073 2.35757073]\n" - ] - } - ], + "outputs": [], "source": [ "depth=2\n", "inter0 = INTERP_init(xb[::2])\n", @@ -1615,27 +1277,10 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "id": "db872d90", "metadata": {}, - "outputs": [ - { - "ename": "TypeError", - "evalue": "createCircuit() missing 1 required positional argument: 'depth'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mout2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mjob_b2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxb2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mqaoa\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgetlocalmin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mxb_0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbackend\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0museExco\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;31m# plot histogram\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mmd\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mjob_b2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_counts\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mpl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mpl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mk\u001b[0m \u001b[0;32min\u001b[0m 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NotImplementedError - def cost(self, binstring,plotsolutions=False): + def cost2(self, binstring,plotsolutions=False): x = np.array(list(map(int,binstring))) exco=np.sum((1 - (self.FR @ x))**2) if self.CR is None: @@ -25,7 +25,7 @@ def cost(self, binstring,plotsolutions=False): print(x, (self.CR @ x)) return cost, exco - def cost2(self, binstring,plotsolutions=False): + def cost(self, binstring,plotsolutions=False): x = np.array(list(map(int,binstring))) exco=np.sum((np.sum(self.FR*x,1) -1)**2) if self.CR is None: @@ -48,7 +48,7 @@ def cost_vector(self, mu, plotsolutions=False): return costs, co, ex - def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestatevec=False): + def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestatevec=True): if usestatevec: costs, co, ex =self.cost_vector(mu) if nb==None and ng==None and nd==None: @@ -104,7 +104,7 @@ def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestateve return E, Ecost, Eexco - def mix_states(self, qc, beta): + def mix_statesX(self, qc, beta): qc.rx( - 2*beta, range(qc.num_qubits)) return qc @@ -112,6 +112,94 @@ def mix_statesY(self, qc, beta): qc.ry( - 2*beta, range(qc.num_qubits)) return qc + def mix_states(self, qc, beta, binstring): + if binstring=='01<->10_ind01': + qc.rxx(-beta, 0, 1) + qc.ryy(-beta, 0, 1) + qc.rxx(-beta, 1, 0) + qc.ryy(-beta, 1, 0) + if binstring=='01<->10_ind12': + qc.rxx(-beta, 1, 2) + qc.ryy(-beta, 1, 2) + qc.rxx(-beta, 2, 1) + qc.ryy(-beta, 2, 1) + elif binstring=='001<->110': + #A=np.array([[0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 1., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.], + # [0., 1., 0., 0., 0., 0., 0., 0.], + # [0., 0., 0., 0., 0., 0., 0., 0.]]) + + #U = np.exp(-1j*beta*A) + #print(U) + #qc.unitary(U, range(3), 'A('+"{:.2f}".format(beta)+")") + qc.barrier() + # XXX + for j in range(3): + qc.h(j) + qc.cx(2,1) + qc.cx(1,0) + qc.rz(-beta/2, 0) + qc.cx(1,0) + qc.cx(2,1) + for j in range(3): + qc.h(j) + + qc.barrier() + # XYY + qc.s(0) + qc.s(1) + for j in range(3): + qc.h(j) + qc.cx(2,1) + qc.cx(1,0) + qc.rz(-beta/2, 0) + qc.cx(1,0) + qc.cx(2,1) + for j in range(3): + qc.h(j) + qc.sdg(0) + qc.sdg(1) + + qc.barrier() + # YXY + qc.s(0) + qc.s(2) + for j in range(3): + qc.h(j) + qc.cx(2,1) + qc.cx(1,0) + qc.rz(-beta/2, 0) + qc.cx(1,0) + qc.cx(2,1) + for j in range(3): + qc.h(j) + qc.sdg(0) + qc.sdg(2) + + qc.barrier() + # -YYX + qc.s(1) + qc.s(2) + for j in range(3): + qc.h(j) + qc.cx(2,1) + qc.cx(1,0) + qc.rz(+beta/2, 0) + qc.cx(1,0) + qc.cx(2,1) + for j in range(3): + qc.h(j) + qc.sdg(1) + qc.sdg(2) + qc.barrier() + else: + raise NotImplementedError + return qc + def apply_exco2(self, qc, gamma): for r in range(qc.num_qubits): @@ -159,7 +247,7 @@ def apply_cost(self, qc, gamma): qc.rz( 2*gamma * hr, r) return qc - def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np.pi,delta_max=2*np.pi,ng=40,nb=20,nd=40, barrier=False, sv=None): + def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np.pi,delta_max=2*np.pi,ng=40,nb=20,nd=40, barrier=False, sv=None, mixerbinstring=None): depth=1 circuits=[] if self.num_params==2: @@ -167,16 +255,16 @@ def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np. for gamma in np.linspace(0,gamma_max,ng,endpoint=False): if useExco is not None: - qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv) + qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv, mixerbinstring=mixerbinstring) else: - qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv) + qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv, mixerbinstring=mixerbinstring) circuits.append(qc) else: for delta in np.linspace(0,delta_max,nd,endpoint=False): for beta in np.linspace(0,beta_max,nb,endpoint=False): for gamma in np.linspace(0,gamma_max,ng,endpoint=False): - qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv) + qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv, mixerbinstring=mixerbinstring) circuits.append(qc) @@ -209,14 +297,14 @@ def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np. global g_values global g_x - def getval(self, x, backend, mu, useExco, depth, sv): + def getval(self, x, backend, mu, useExco, depth, sv, mixerbinstring): global g_it, g_jobs, g_values, g_x g_it+=1 if useExco is not None: - qc = self.createCircuit(x, useExco, sv=sv) + qc = self.createCircuit(x, useExco, sv=sv, mixerbinstring=mixerbinstring) else: - qc = self.createCircuit(x, mu, depth, sv=sv) + qc = self.createCircuit(x, mu, depth, sv=sv, mixerbinstring=mixerbinstring) job = execute(qc, backend) @@ -227,7 +315,7 @@ def getval(self, x, backend, mu, useExco, depth, sv): g_x[str(g_it)] = x return val - def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv=None, method="Nelder-Mead"): + def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv=None, mixerbinstring=None, method="Nelder-Mead"): global g_it, g_jobs, g_values, g_x g_it=0 @@ -235,7 +323,7 @@ def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv= g_values={} g_x={} - out = minimize(self.getval, x0=x0, method=method, args=(backend, mu, useExco, depth, sv), options={'xatol': 1e-2, 'fatol': 1e-1, 'disp': True})#, constraints=cons) + out = minimize(self.getval, x0=x0, method=method, args=(backend, mu, useExco, depth, sv, mixerbinstring), options={'xatol': 1e-2, 'fatol': 1e-1, 'disp': True})#, constraints=cons) ind = min(g_values, key=g_values.get) return out, g_jobs[ind], g_x[ind] @@ -375,7 +463,7 @@ class QAOAChoose(QAOAbase): #def __init__(self, CR, FR): # super().__init__(CR, FR) - def createCircuit(self, x,useExco,barrier=False,sv=None): + def createCircuit(self, x,useExco,barrier=False,sv=None, mixerbinstring=None): gamma=x[::2] beta=x[1::2] qc = QuantumCircuit(self.R) @@ -390,152 +478,15 @@ def createCircuit(self, x,useExco,barrier=False,sv=None): i+=1 if ue: qc = self.apply_exco(qc, gamma[i]) - qc = self.mix_states(qc, beta[i]) + qc = self.mix_statesX(qc, beta[i]) else: qc = self.apply_cost(qc, gamma[i]) - if False: - qc = self.mix_states(qc, beta[i]) - elif False: - qc.rxx(beta[i], 0, 1) - qc.ryy(beta[i], 0, 1) - qc.rxx(beta[i], 1, 0) - qc.ryy(beta[i], 1, 0) - else: - ## 001 <-> 110 - #A=np.array([[0., 0., 0., 0., 0., 0., 0., 0.], - # [0., 0., 0., 0., 0., 0., 1., 0.], - # [0., 0., 0., 0., 0., 0., 0., 0.], - # [0., 0., 0., 0., 0., 0., 0., 0.], - # [0., 0., 0., 0., 0., 0., 0., 0.], - # [0., 0., 0., 0., 0., 0., 0., 0.], - # [0., 1., 0., 0., 0., 0., 0., 0.], - # [0., 0., 0., 0., 0., 0., 0., 0.]]) - - #U = np.exp(-1j*beta[i]*A) - #print(U) - #qc.unitary(U, range(3), 'A('+"{:.2f}".format(beta[i])+")") - if False: - qc.barrier() - # XXX - for j in range(3): - qc.h(j) - qc.cx(0,1) - qc.cx(1,2) - qc.rz(beta[i], 2) - qc.cx(1,2) - qc.cx(0,1) - for j in range(3): - qc.h(j) - - qc.barrier() - # XYY - qc.s(1) - qc.s(2) - for j in range(3): - qc.h(j) - qc.cx(0,1) - qc.cx(1,2) - qc.rz(beta[i], 2) - qc.cx(1,2) - qc.cx(0,1) - for j in range(3): - qc.h(j) - qc.sdg(1) - qc.sdg(2) - - qc.barrier() - # YXY - qc.s(0) - qc.s(2) - for j in range(3): - qc.h(j) - qc.cx(0,1) - qc.cx(1,2) - qc.rz(beta[i], 2) - qc.cx(1,2) - qc.cx(0,1) - for j in range(3): - qc.h(j) - qc.sdg(0) - qc.sdg(2) - - qc.barrier() - # -YYX - qc.s(0) - qc.s(1) - for j in range(3): - qc.h(j) - qc.cx(0,1) - qc.cx(1,2) - qc.rz(-beta[i], 2) - qc.cx(1,2) - qc.cx(0,1) - for j in range(3): - qc.h(j) - qc.sdg(0) - qc.sdg(1) - qc.barrier() - else: - qc.barrier() - # XXX - for j in range(3): - qc.h(j) - qc.cx(2,1) - qc.cx(1,0) - qc.rz(beta[i], 2) - qc.cx(1,0) - qc.cx(2,1) - for j in range(3): - qc.h(j) - - qc.barrier() - # XYY - qc.s(0) - qc.s(1) - for j in range(3): - qc.h(j) - qc.cx(2,1) - qc.cx(1,0) - qc.rz(beta[i], 2) - qc.cx(1,0) - qc.cx(2,1) - for j in range(3): - qc.h(j) - qc.sdg(0) - qc.sdg(1) - - qc.barrier() - # YXY - qc.s(0) - qc.s(2) - for j in range(3): - qc.h(j) - qc.cx(2,1) - qc.cx(1,0) - qc.rz(beta[i], 2) - qc.cx(1,0) - qc.cx(2,1) - for j in range(3): - qc.h(j) - qc.sdg(0) - qc.sdg(2) - - qc.barrier() - # -YYX - qc.s(1) - qc.s(2) - for j in range(3): - qc.h(j) - qc.cx(2,1) - qc.cx(1,0) - qc.rz(-beta[i], 2) - qc.cx(1,0) - qc.cx(2,1) - for j in range(3): - qc.h(j) - qc.sdg(1) - qc.sdg(2) - qc.barrier() + if mixerbinstring is None: + qc = self.mix_statesX(qc, beta[i]) + #else: + #qc = self.mix_states(qc, beta[i], mixerbinstring) + #qc = self.mix_states(qc, beta[i], '01<->10_ind12') + qc.rx( - 2*beta[i], 2) if barrier: qc.barrier() @@ -548,7 +499,7 @@ class QAOANor(QAOAbase): num_params=3 - def createCircuit(self, x,mu,depth,barrier=False,sv=None): + def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstring=None): gamma=x[::3] beta=x[1::3] delta=x[2::3] @@ -563,9 +514,9 @@ def createCircuit(self, x,mu,depth,barrier=False,sv=None): for d in range(depth): i+=1 qc = self.apply_exco(qc, gamma[i]) - qc = self.mix_states(qc, beta[i]) + qc = self.mix_statesX(qc, beta[i]) qc = self.apply_cost(qc, delta[i]) - qc = self.mix_states(qc, beta[i]) + qc = self.mix_statesX(qc, beta[i]) if barrier: qc.barrier() qc.barrier() @@ -575,7 +526,7 @@ class QAOASwe(QAOAbase): num_params=2 - def createCircuit(self, x,mu,depth,barrier=False,sv=None): + def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstring=None): gamma=x[::2] beta=x[1::2] qc = QuantumCircuit(self.R) @@ -592,7 +543,7 @@ def createCircuit(self, x,mu,depth,barrier=False,sv=None): qc = self.apply_cost(qc, gamma[i]) if barrier: qc.barrier() - qc = self.mix_states(qc, beta[i]) + qc = self.mix_statesX(qc, beta[i]) if barrier: qc.barrier() qc.barrier() From e08da1a6c9a78b9350df09e34b517af1888ec9b1 Mon Sep 17 00:00:00 2001 From: Franz Fuchs Date: Wed, 13 Oct 2021 21:56:32 +0200 Subject: [PATCH 11/12] iteration --- mixercalc.ipynb | 14 ++- newbeginning 001 110 101 mixing.ipynb | 168 ++++++++++++++++++++------ newbeginning.py | 46 +++---- 3 files changed, 164 insertions(+), 64 deletions(-) diff --git a/mixercalc.ipynb b/mixercalc.ipynb index 90504de..1de61ab 100644 --- a/mixercalc.ipynb +++ b/mixercalc.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 4, + "execution_count": 52, "id": "11322472", "metadata": {}, "outputs": [], @@ -326,6 +326,16 @@ "source": [ "ooz, zzo, ozo" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e94c26f2", + "metadata": {}, + "outputs": [], + "source": [ + "001 -> 110 -> 101 -> 001" + ] } ], "metadata": { @@ -344,7 +354,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.9.5" } }, "nbformat": 4, diff --git a/newbeginning 001 110 101 mixing.ipynb b/newbeginning 001 110 101 mixing.ipynb index d2fcd9e..299d689 100644 --- a/newbeginning 001 110 101 mixing.ipynb +++ b/newbeginning 001 110 101 mixing.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "a88a8c77", "metadata": {}, "outputs": [], @@ -28,7 +28,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "1096f1c6", "metadata": {}, "outputs": [], @@ -38,14 +38,14 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 33, "id": "8e79c8e1", "metadata": {}, "outputs": [], "source": [ "FR = np.array([[1,1, 0],\n", " [1,0, 1]])\n", - "CR=np.array([2,1,1])\n", + "CR=np.array([1,1,1])\n", "# CR=np.random.rand(4)\n", "\n", "# Normalize weights\n", @@ -54,12 +54,12 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 78, "id": "688dd638", "metadata": {}, "outputs": [], "source": [ - "a=np.array([[0],\n", + "eeo=np.array([[0],\n", " [0],\n", " [0],\n", " [0],\n", @@ -67,7 +67,7 @@ " [0],\n", " [1],\n", " [0]],dtype=complex)\n", - "b=np.array([[0],\n", + "ooe=np.array([[0],\n", " [1],\n", " [0],\n", " [0],\n", @@ -75,20 +75,40 @@ " [0],\n", " [0],\n", " [0]],dtype=complex)\n", - "c=np.array([[0],\n", + "eoe=np.array([[0],\n", " [0],\n", + " [1],\n", " [0],\n", " [0],\n", " [0],\n", - " [1],\n", " [0],\n", - " [0]],dtype=complex)\n", - "sv=1./np.sqrt(2)*(a+0*b+c).flatten()" + " [0]],dtype=complex)" ] }, { "cell_type": "code", - "execution_count": 44, + "execution_count": null, + "id": "3b8321be", + "metadata": {}, + "outputs": [], + "source": [ + "mixerbinstrings=['001<->110','01<->10_ind01','0<->1_ind2']" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "6a969b6d", + "metadata": {}, + "outputs": [], + "source": [ + "sv=1./np.sqrt(2)*(eeo+eoe).flatten()\n", + "mbs=['01<->10_ind12']" + ] + }, + { + "cell_type": "code", + "execution_count": 87, "id": "e30a6408", "metadata": { "scrolled": false @@ -99,9 +119,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 0.875000\n", - " Iterations: 4\n", - " Function evaluations: 13\n" + " Current function value: 1.500000\n", + " Iterations: 6\n", + " Function evaluations: 23\n" ] }, { @@ -110,13 +130,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 44, + "execution_count": 87, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ "
" ] @@ -152,8 +172,8 @@ "\n", "mu=0\n", "\n", - "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixerbinstring='001<->110',ng=20,nb=10)\n", - "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixerbinstring='001<->110')\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixerbinstrings=mbs,ng=20,nb=10)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixerbinstrings=mbs)\n", "\n", "# plot landscape\n", "_=getfig(Ecost,ng=20,nb=10)\n", @@ -171,7 +191,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 44, "id": "36b8ad2c", "metadata": { "scrolled": false @@ -180,31 +200,101 @@ { "data": { "text/html": [ - "
     ┌──────────────────────────────────────────┐┌─────────┐           \n",
-       "q_0: ┤0                                         ├┤ Rz(π/5) ├───────────\n",
-       "     │                                          │├─────────┤           \n",
-       "q_1: ┤1 Initialize(0,0,0,0,0,0.70711,0.70711,0) ├┤ Rz(π/5) ├───────────\n",
-       "     │                                          │├─────────┴┐┌────────┐\n",
-       "q_2: ┤2                                         ├┤ Rz(2π/5) ├┤ Rx(-π) ├\n",
-       "     └──────────────────────────────────────────┘└──────────┘└────────┘
" + "
     ┌────────────────────────────────────────────────┐┌──────────┐ ░ ┌───┐»\n",
+       "q_0: ┤0                                               ├┤ RZ(3π/2) ├─░─┤ H ├»\n",
+       "     │                                                │├──────────┤ ░ ├───┤»\n",
+       "q_1: ┤1 initialize(0,0.57735,0.57735,0,0,0,0.57735,0) ├┤ RZ(3π/2) ├─░─┤ H ├»\n",
+       "     │                                                │├──────────┤ ░ ├───┤»\n",
+       "q_2: ┤2                                               ├┤ RZ(3π/2) ├─░─┤ H ├»\n",
+       "     └────────────────────────────────────────────────┘└──────────┘ ░ └───┘»\n",
+       "«          ┌───┐┌─────────────┐┌───┐┌───┐      ░ ┌───┐┌───┐     ┌───┐»\n",
+       "«q_0: ─────┤ X ├┤ RZ(-1.0996) ├┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────┤ X ├»\n",
+       "«     ┌───┐└─┬─┘└─────────────┘└─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐└─┬─┘»\n",
+       "«q_1: ┤ X ├──■───────────────────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├──■──»\n",
+       "«     └─┬─┘                         └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘     »\n",
+       "«q_2: ──■─────────────────────────────■──┤ H ├─░─┤ H ├───────■───────»\n",
+       "«                                        └───┘ ░ └───┘               »\n",
+       "«     ┌─────────────┐┌───┐┌───┐┌─────┐        ░ ┌───┐┌───┐     ┌───┐»\n",
+       "«q_0: ┤ RZ(-1.0996) ├┤ X ├┤ H ├┤ SDG ├────────░─┤ S ├┤ H ├─────┤ X ├»\n",
+       "«     └─────────────┘└─┬─┘├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐└─┬─┘»\n",
+       "«q_1: ─────────────────■──┤ X ├─┤ H ├─┤ SDG ├─░─┤ H ├─────┤ X ├──■──»\n",
+       "«                         └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘     »\n",
+       "«q_2: ──────────────────────■───┤ H ├─────────░─┤ S ├┤ H ├──■───────»\n",
+       "«                               └───┘         ░ └───┘└───┘          »\n",
+       "«     ┌─────────────┐┌───┐┌───┐┌─────┐        ░ ┌───┐          ┌───┐»\n",
+       "«q_0: ┤ RZ(-1.0996) ├┤ X ├┤ H ├┤ SDG ├────────░─┤ H ├──────────┤ X ├»\n",
+       "«     └─────────────┘└─┬─┘├───┤└┬───┬┘        ░ ├───┤┌───┐┌───┐└─┬─┘»\n",
+       "«q_1: ─────────────────■──┤ X ├─┤ H ├─────────░─┤ S ├┤ H ├┤ X ├──■──»\n",
+       "«                         └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘     »\n",
+       "«q_2: ──────────────────────■───┤ H ├─┤ SDG ├─░─┤ S ├┤ H ├──■───────»\n",
+       "«                               └───┘ └─────┘ ░ └───┘└───┘          »\n",
+       "«     ┌────────────┐┌───┐┌───┐             ░  ░ ┌──────────────┐»\n",
+       "«q_0: ┤ RZ(1.0996) ├┤ X ├┤ H ├─────────────░──░─┤0             ├»\n",
+       "«     └────────────┘└─┬─┘├───┤┌───┐┌─────┐ ░  ░ │  RXX(-7π/10) │»\n",
+       "«q_1: ────────────────■──┤ X ├┤ H ├┤ SDG ├─░──░─┤1             ├»\n",
+       "«                        └─┬─┘├───┤├─────┤ ░  ░ └──────────────┘»\n",
+       "«q_2: ─────────────────────■──┤ H ├┤ SDG ├─░──░─────────────────»\n",
+       "«                             └───┘└─────┘ ░  ░                 »\n",
+       "«     ┌──────────────┐┌──────────────┐┌──────────────┐ ░               ░ \n",
+       "«q_0: ┤0             ├┤1             ├┤1             ├─░───────────────░─\n",
+       "«     │  RYY(-7π/10) ││  RXX(-7π/10) ││  RYY(-7π/10) │ ░               ░ \n",
+       "«q_1: ┤1             ├┤0             ├┤0             ├─░───────────────░─\n",
+       "«     └──────────────┘└──────────────┘└──────────────┘ ░ ┌───────────┐ ░ \n",
+       "«q_2: ─────────────────────────────────────────────────░─┤ RX(-7π/5) ├─░─\n",
+       "«                                                      ░ └───────────┘ ░
" ], "text/plain": [ - " ┌──────────────────────────────────────────┐┌─────────┐ \n", - "q_0: ┤0 ├┤ Rz(π/5) ├───────────\n", - " │ │├─────────┤ \n", - "q_1: ┤1 Initialize(0,0,0,0,0,0.70711,0.70711,0) ├┤ Rz(π/5) ├───────────\n", - " │ │├─────────┴┐┌────────┐\n", - "q_2: ┤2 ├┤ Rz(2π/5) ├┤ Rx(-π) ├\n", - " └──────────────────────────────────────────┘└──────────┘└────────┘" + " ┌────────────────────────────────────────────────┐┌──────────┐ ░ ┌───┐»\n", + "q_0: ┤0 ├┤ RZ(3π/2) ├─░─┤ H ├»\n", + " │ │├──────────┤ ░ ├───┤»\n", + "q_1: ┤1 initialize(0,0.57735,0.57735,0,0,0,0.57735,0) ├┤ RZ(3π/2) ├─░─┤ H ├»\n", + " │ │├──────────┤ ░ ├───┤»\n", + "q_2: ┤2 ├┤ RZ(3π/2) ├─░─┤ H ├»\n", + " └────────────────────────────────────────────────┘└──────────┘ ░ └───┘»\n", + "« ┌───┐┌─────────────┐┌───┐┌───┐ ░ ┌───┐┌───┐ ┌───┐»\n", + "«q_0: ─────┤ X ├┤ RZ(-1.0996) ├┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────┤ X ├»\n", + "« ┌───┐└─┬─┘└─────────────┘└─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐└─┬─┘»\n", + "«q_1: ┤ X ├──■───────────────────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├──■──»\n", + "« └─┬─┘ └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘ »\n", + "«q_2: ──■─────────────────────────────■──┤ H ├─░─┤ H ├───────■───────»\n", + "« └───┘ ░ └───┘ »\n", + "« ┌─────────────┐┌───┐┌───┐┌─────┐ ░ ┌───┐┌───┐ ┌───┐»\n", + "«q_0: ┤ RZ(-1.0996) ├┤ X ├┤ H ├┤ SDG ├────────░─┤ S ├┤ H ├─────┤ X ├»\n", + "« └─────────────┘└─┬─┘├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐└─┬─┘»\n", + "«q_1: ─────────────────■──┤ X ├─┤ H ├─┤ SDG ├─░─┤ H ├─────┤ X ├──■──»\n", + "« └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘ »\n", + "«q_2: ──────────────────────■───┤ H ├─────────░─┤ S ├┤ H ├──■───────»\n", + "« └───┘ ░ └───┘└───┘ »\n", + "« ┌─────────────┐┌───┐┌───┐┌─────┐ ░ ┌───┐ ┌───┐»\n", + "«q_0: ┤ RZ(-1.0996) ├┤ X ├┤ H ├┤ SDG ├────────░─┤ H ├──────────┤ X ├»\n", + "« └─────────────┘└─┬─┘├───┤└┬───┬┘ ░ ├───┤┌───┐┌───┐└─┬─┘»\n", + "«q_1: ─────────────────■──┤ X ├─┤ H ├─────────░─┤ S ├┤ H ├┤ X ├──■──»\n", + "« └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘ »\n", + "«q_2: ──────────────────────■───┤ H ├─┤ SDG ├─░─┤ S ├┤ H ├──■───────»\n", + "« └───┘ └─────┘ ░ └───┘└───┘ »\n", + "« ┌────────────┐┌───┐┌───┐ ░ ░ ┌──────────────┐»\n", + "«q_0: ┤ RZ(1.0996) ├┤ X ├┤ H ├─────────────░──░─┤0 ├»\n", + "« └────────────┘└─┬─┘├───┤┌───┐┌─────┐ ░ ░ │ RXX(-7π/10) │»\n", + "«q_1: ────────────────■──┤ X ├┤ H ├┤ SDG ├─░──░─┤1 ├»\n", + "« └─┬─┘├───┤├─────┤ ░ ░ └──────────────┘»\n", + "«q_2: ─────────────────────■──┤ H ├┤ SDG ├─░──░─────────────────»\n", + "« └───┘└─────┘ ░ ░ »\n", + "« ┌──────────────┐┌──────────────┐┌──────────────┐ ░ ░ \n", + "«q_0: ┤0 ├┤1 ├┤1 ├─░───────────────░─\n", + "« │ RYY(-7π/10) ││ RXX(-7π/10) ││ RYY(-7π/10) │ ░ ░ \n", + "«q_1: ┤1 ├┤0 ├┤0 ├─░───────────────░─\n", + "« └──────────────┘└──────────────┘└──────────────┘ ░ ┌───────────┐ ░ \n", + "«q_2: ─────────────────────────────────────────────────░─┤ RX(-7π/5) ├─░─\n", + "« ░ └───────────┘ ░ " ] }, - "execution_count": 35, + "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "qaoa.createCircuit(x0, useExco=[False],sv=sv,mixerbinstring='001<->110').draw()" + "qaoa.createCircuit(x0, useExco=[False],sv=sv,mixerbinstrings=['001<->110','01<->10_ind01','0<->1_ind2']).draw()" ] }, { @@ -264,7 +354,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.9.5" } }, "nbformat": 4, diff --git a/newbeginning.py b/newbeginning.py index 3d2bac0..1d1446a 100644 --- a/newbeginning.py +++ b/newbeginning.py @@ -113,16 +113,14 @@ def mix_statesY(self, qc, beta): return qc def mix_states(self, qc, beta, binstring): - if binstring=='01<->10_ind01': - qc.rxx(-beta, 0, 1) - qc.ryy(-beta, 0, 1) + if binstring=='0<->1_ind2': + qc.rx( - 2*beta, 2) + elif binstring=='01<->10_ind01': qc.rxx(-beta, 1, 0) qc.ryy(-beta, 1, 0) - if binstring=='01<->10_ind12': + elif binstring=='01<->10_ind12': qc.rxx(-beta, 1, 2) qc.ryy(-beta, 1, 2) - qc.rxx(-beta, 2, 1) - qc.ryy(-beta, 2, 1) elif binstring=='001<->110': #A=np.array([[0., 0., 0., 0., 0., 0., 0., 0.], # [0., 0., 0., 0., 0., 0., 1., 0.], @@ -247,7 +245,7 @@ def apply_cost(self, qc, gamma): qc.rz( 2*gamma * hr, r) return qc - def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np.pi,delta_max=2*np.pi,ng=40,nb=20,nd=40, barrier=False, sv=None, mixerbinstring=None): + def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np.pi,delta_max=2*np.pi,ng=40,nb=20,nd=40, barrier=False, sv=None, mixerbinstrings=None): depth=1 circuits=[] if self.num_params==2: @@ -255,16 +253,16 @@ def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np. for gamma in np.linspace(0,gamma_max,ng,endpoint=False): if useExco is not None: - qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv, mixerbinstring=mixerbinstring) + qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv, mixerbinstrings=mixerbinstrings) else: - qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv, mixerbinstring=mixerbinstring) + qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv, mixerbinstrings=mixerbinstrings) circuits.append(qc) else: for delta in np.linspace(0,delta_max,nd,endpoint=False): for beta in np.linspace(0,beta_max,nb,endpoint=False): for gamma in np.linspace(0,gamma_max,ng,endpoint=False): - qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv, mixerbinstring=mixerbinstring) + qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv, mixerbinstrings=mixerbinstrings) circuits.append(qc) @@ -297,14 +295,14 @@ def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np. global g_values global g_x - def getval(self, x, backend, mu, useExco, depth, sv, mixerbinstring): + def getval(self, x, backend, mu, useExco, depth, sv, mixerbinstrings): global g_it, g_jobs, g_values, g_x g_it+=1 if useExco is not None: - qc = self.createCircuit(x, useExco, sv=sv, mixerbinstring=mixerbinstring) + qc = self.createCircuit(x, useExco, sv=sv, mixerbinstrings=mixerbinstrings) else: - qc = self.createCircuit(x, mu, depth, sv=sv, mixerbinstring=mixerbinstring) + qc = self.createCircuit(x, mu, depth, sv=sv, mixerbinstrings=mixerbinstrings) job = execute(qc, backend) @@ -315,7 +313,7 @@ def getval(self, x, backend, mu, useExco, depth, sv, mixerbinstring): g_x[str(g_it)] = x return val - def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv=None, mixerbinstring=None, method="Nelder-Mead"): + def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv=None, mixerbinstrings=None, method="Nelder-Mead"): global g_it, g_jobs, g_values, g_x g_it=0 @@ -323,7 +321,7 @@ def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv= g_values={} g_x={} - out = minimize(self.getval, x0=x0, method=method, args=(backend, mu, useExco, depth, sv, mixerbinstring), options={'xatol': 1e-2, 'fatol': 1e-1, 'disp': True})#, constraints=cons) + out = minimize(self.getval, x0=x0, method=method, args=(backend, mu, useExco, depth, sv, mixerbinstrings), options={'xatol': 1e-2, 'fatol': 1e-1, 'disp': True})#, constraints=cons) ind = min(g_values, key=g_values.get) return out, g_jobs[ind], g_x[ind] @@ -463,7 +461,7 @@ class QAOAChoose(QAOAbase): #def __init__(self, CR, FR): # super().__init__(CR, FR) - def createCircuit(self, x,useExco,barrier=False,sv=None, mixerbinstring=None): + def createCircuit(self, x,useExco,barrier=False,sv=None, mixerbinstrings=None): gamma=x[::2] beta=x[1::2] qc = QuantumCircuit(self.R) @@ -481,12 +479,14 @@ def createCircuit(self, x,useExco,barrier=False,sv=None, mixerbinstring=None): qc = self.mix_statesX(qc, beta[i]) else: qc = self.apply_cost(qc, gamma[i]) - if mixerbinstring is None: + if mixerbinstrings is None: qc = self.mix_statesX(qc, beta[i]) - #else: - #qc = self.mix_states(qc, beta[i], mixerbinstring) - #qc = self.mix_states(qc, beta[i], '01<->10_ind12') - qc.rx( - 2*beta[i], 2) + else: + for bs in mixerbinstrings: + qc = self.mix_states(qc, beta[i], bs) + qc.barrier() + #qc = self.mix_states(qc, beta[i], '01<->10_ind01') + #qc.rx( - 2*beta[i], 2) if barrier: qc.barrier() @@ -499,7 +499,7 @@ class QAOANor(QAOAbase): num_params=3 - def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstring=None): + def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstrings=None): gamma=x[::3] beta=x[1::3] delta=x[2::3] @@ -526,7 +526,7 @@ class QAOASwe(QAOAbase): num_params=2 - def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstring=None): + def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstrings=None): gamma=x[::2] beta=x[1::2] qc = QuantumCircuit(self.R) From 683587bb129e47a62cae47b3b0c1a41c921c8a4b Mon Sep 17 00:00:00 2001 From: Franz Georg Fuchs Date: Fri, 15 Oct 2021 16:22:40 +0200 Subject: [PATCH 12/12] update --- mixercalc.ipynb | 529 +++++++++-- newbeginning 001 110 101 mixing.ipynb | 1160 +++++++++++++++++++++---- newbeginning.py | 255 ++++-- 3 files changed, 1643 insertions(+), 301 deletions(-) diff --git a/mixercalc.ipynb b/mixercalc.ipynb index 1de61ab..57b9467 100644 --- a/mixercalc.ipynb +++ b/mixercalc.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 52, + "execution_count": 111, "id": "11322472", "metadata": {}, "outputs": [], @@ -12,139 +12,205 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 131, "id": "08f0238f", "metadata": {}, "outputs": [], "source": [ - "x0 = symbols(\"x0\")\n", - "x1 = symbols(\"x1\")\n", - "x2 = symbols(\"x2\")\n", + "x0 = symbols(\"x0\", commutative=False)\n", + "x1 = symbols(\"x1\", commutative=False)\n", + "x2 = symbols(\"x2\", commutative=False)\n", "\n", - "y0 = symbols(\"y0\")\n", - "y1 = symbols(\"y1\")\n", - "y2 = symbols(\"y2\")\n", + "y0 = symbols(\"y0\", commutative=False)\n", + "y1 = symbols(\"y1\", commutative=False)\n", + "y2 = symbols(\"y2\", commutative=False)\n", "\n", - "z0 = symbols(\"z0\")\n", - "z1 = symbols(\"z1\")\n", - "z2 = symbols(\"z2\")" + "z0 = symbols(\"z0\", commutative=False)\n", + "z1 = symbols(\"z1\", commutative=False)\n", + "z2 = symbols(\"z2\", commutative=False)\n", + "\n", + "I0 = symbols(\"I0\")\n", + "I1 = symbols(\"I1\")\n", + "I2 = symbols(\"I2\")" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 132, "id": "1d0c09a3", "metadata": {}, "outputs": [], "source": [ - "a0=1/2*(x0+I*y0)\n", - "a1=1/2*(x1+I*y1)\n", - "a2=1/2*(x2+I*y2)\n", + "a0=1/2*(x0+1j*y0)\n", + "a1=1/2*(x1+1j*y1)\n", + "a2=1/2*(x2+1j*y2)\n", "\n", - "ad0=1/2*(x0-I*y0)\n", - "ad1=1/2*(x1-I*y1)\n", - "ad2=1/2*(x2-I*y2)" + "ad0=1/2*(x0-1j*y0)\n", + "ad1=1/2*(x1-1j*y1)\n", + "ad2=1/2*(x2-1j*y2)" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 133, + "id": "76017818", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle I_{1} I_{2} x_{0}$" + ], + "text/plain": [ + "I1*I2*x0" + ] + }, + "execution_count": 133, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A=simplify((a0+ ad0)*I1*I2)\n", + "A" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "id": "2f29f651", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle 0.25 i x_{0} y_{0} + 0.25 x_{0}^{2} - 0.25 i y_{0} x_{0} + 0.25 y_{0}^{2}$" + ], + "text/plain": [ + "0.25*I*x0*y0 + 0.25*x0**2 - 0.25*I*y0*x0 + 0.25*y0**2" + ] + }, + "execution_count": 134, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "expand(ad0*a0)" + ] + }, + { + "cell_type": "code", + "execution_count": 128, "id": "140faa5a", "metadata": {}, "outputs": [ { "data": { "text/latex": [ - "$\\displaystyle x_{0} x_{1} + y_{0} y_{1}$" + "$\\displaystyle 0.5 \\left(x_{1} x_{2} + y_{1} y_{2}\\right)$" ], "text/plain": [ - "x0*x1 + y0*y1" + "0.5*(x1*x2 + y1*y2)" ] }, - "execution_count": 16, + "execution_count": 128, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "2*simplify(a0*ad1 + ad0*a1)" + "B=simplify(a1*ad2 + ad1*a2)\n", + "B" ] }, { "cell_type": "code", - "execution_count": 17, - "id": "2c6eb5c0", + "execution_count": 108, + "id": "b2c29f4b", "metadata": {}, "outputs": [ { "data": { "text/latex": [ - "$\\displaystyle x_{0} x_{1} x_{2} + x_{0} y_{1} y_{2} + x_{1} y_{0} y_{2} - 1.0 x_{2} y_{0} y_{1}$" + "$\\displaystyle 0.5 I_{0} \\left(x_{1} x_{2} + y_{1} y_{2}\\right)$" ], "text/plain": [ - "x0*x1*x2 + x0*y1*y2 + x1*y0*y2 - 1.0*x2*y0*y1" + "0.5*I0*(x1*x2 + y1*y2)" ] }, - "execution_count": 17, + "execution_count": 108, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "4*simplify(a0*a1*ad2 + ad0*ad1*a2)" + "B=simplify(I0*(a1*ad2 + ad1*a2))\n", + "B" ] }, { "cell_type": "code", - "execution_count": 18, - "id": "00748220", + "execution_count": 125, + "id": "2c6eb5c0", "metadata": {}, "outputs": [ { "data": { "text/latex": [ - "$\\displaystyle x_{0} x_{1} x_{2} - 1.0 x_{0} y_{1} y_{2} + x_{1} y_{0} y_{2} + x_{2} y_{0} y_{1}$" + "$\\displaystyle 0.25 \\left(x_{0} x_{1} x_{2} + x_{0} y_{1} y_{2} + y_{0} x_{1} y_{2} - y_{0} y_{1} x_{2}\\right)$" ], "text/plain": [ - "x0*x1*x2 - 1.0*x0*y1*y2 + x1*y0*y2 + x2*y0*y1" + "0.25*(x0*x1*x2 + x0*y1*y2 + y0*x1*y2 - y0*y1*x2)" ] }, - "execution_count": 18, + "execution_count": 125, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "4*simplify(a2*a1*ad0 + ad2*ad1*a0)" + "C=simplify(a0*a1*ad2 + ad0*ad1*a2)\n", + "C" ] }, { "cell_type": "code", - "execution_count": 37, - "id": "76017818", + "execution_count": 36, + "id": "e4f2bacf", "metadata": {}, "outputs": [ { "data": { "text/latex": [ - "$\\displaystyle 1.0 x_{0}$" + "$\\displaystyle 0.5 I_{0} \\left(x_{1} x_{2} + y_{1} y_{2}\\right) + 1.0 I_{1} I_{2} x_{0} + 0.25 x_{0} x_{1} x_{2} + 0.25 x_{0} y_{1} y_{2} + 0.25 x_{1} y_{0} y_{2} - 0.25 x_{2} y_{0} y_{1}$" ], "text/plain": [ - "1.0*x0" + "0.5*I0*(x1*x2 + y1*y2) + 1.0*I1*I2*x0 + 0.25*x0*x1*x2 + 0.25*x0*y1*y2 + 0.25*x1*y0*y2 - 0.25*x2*y0*y1" ] }, - "execution_count": 37, + "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "simplify(a0 + ad0)" + "A+B+C" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "00748220", + "metadata": {}, + "outputs": [], + "source": [ + "# 4*simplify(a2*a1*ad0 + ad2*ad1*a0)" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 8, "id": "47286d39", "metadata": {}, "outputs": [], @@ -154,7 +220,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 58, "id": "338bc5ee", "metadata": {}, "outputs": [], @@ -171,17 +237,17 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 42, "id": "765b9d3c", "metadata": {}, "outputs": [], "source": [ - "A=1/4*(np.kron(X,np.kron(X,X))+np.kron(X,np.kron(Y,Y))+np.kron(Y,np.kron(X,Y))-np.kron(Y,np.kron(Y,X)))" + "AA=1/4*(np.kron(X,np.kron(X,X))+np.kron(X,np.kron(Y,Y))+np.kron(Y,np.kron(X,Y))-np.kron(Y,np.kron(Y,X)))" ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 43, "id": "7769a571", "metadata": { "scrolled": true @@ -201,13 +267,13 @@ " 0.0)" ] }, - "execution_count": 23, + "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "np.real(A), np.max(np.imag(A))" + "np.real(AA), np.max(np.imag(AA))" ] }, { @@ -220,18 +286,20 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 65, "id": "f4f5de76", "metadata": {}, "outputs": [], "source": [ "zero=np.array([[1],[0]])\n", - "one=np.array([[0],[1]])" + "one=np.array([[0],[1]])\n", + "plus=np.array([[1],[1]])/np.sqrt(2)\n", + "minus=np.array([[1],[-1]])/np.sqrt(2)" ] }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 13, "id": "5c3f2969", "metadata": {}, "outputs": [], @@ -243,7 +311,92 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 90, + "id": "68a65ab1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.+0.j]\n", + " [1.+0.j]\n", + " [1.+0.j]\n", + " [0.+0.j]] [[0]\n", + " [1]\n", + " [1]\n", + " [0]]\n", + "[0.00000000e+00+0.j 1.11022302e-16+0.j 5.55111512e-16+0.j\n", + " 0.00000000e+00+0.j]\n", + "[ 0.00000000e+00+0.j -1.11022302e-16+0.j 1.11022302e-16+0.j\n", + " 0.00000000e+00+0.j]\n", + "[0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", + "[0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", + "eigenvectors\n", + "[-0. 0.70710678 0.70710678 -0. ]\n", + "[ 0. 0.70710678 -0.70710678 0. ]\n", + "[1. 0. 0. 0.]\n", + "[0. 0. 0. 1.]\n" + ] + } + ], + "source": [ + "H=(np.kron(X,X)+np.kron(Y,Y))/2\n", + "v=np.kron(one,zero)+np.kron(zero,one)\n", + "\n", + "print(H.dot(v),v)\n", + "\n", + "le,ve = np.linalg.eig(H)\n", + "for i in range(2**2):\n", + " print(H@ve[:,i]-le[i]*ve[:,i])\n", + "print(\"eigenvectors\")\n", + "for i in range(2**2):\n", + " print(np.real(ve[:,i]))" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "id": "34c80d5b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0],\n", + " [0],\n", + " [0],\n", + " [1]])" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.kron(one, one)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6fcb4b77", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a3daf6a7", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 14, "id": "7c0e1e9b", "metadata": {}, "outputs": [ @@ -253,7 +406,7 @@ "(0.0, 0.0)" ] }, - "execution_count": 26, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -264,7 +417,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 15, "id": "2e96183b", "metadata": {}, "outputs": [ @@ -274,7 +427,7 @@ "(0.0, 0.0)" ] }, - "execution_count": 27, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -285,7 +438,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 16, "id": "8bbfcca8", "metadata": {}, "outputs": [ @@ -318,7 +471,7 @@ " [0]]))" ] }, - "execution_count": 36, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -329,13 +482,269 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "id": "e94c26f2", "metadata": {}, "outputs": [], "source": [ - "001 -> 110 -> 101 -> 001" + "# 001 -> 110 -> 101 -> 001" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "id": "56d96756", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[0.+0.j],\n", + " [0.+0.j]]),\n", + " array([[1.+0.j],\n", + " [0.+0.j]]))" + ] + }, + "execution_count": 143, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(.5*(X+1j*Y))@zero, (.5*(X+1j*Y))@one" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "id": "2a92da7b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[0.+0.j],\n", + " [1.+0.j]]),\n", + " array([[0.+0.j],\n", + " [0.+0.j]]))" + ] + }, + "execution_count": 144, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(.5*(X-1j*Y))@zero, (.5*(X-1j*Y))@one" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "id": "f4acea62", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[0.+0.j],\n", + " [0.+0.j]]),\n", + " array([[0.+0.j],\n", + " [1.+0.j]]))" + ] + }, + "execution_count": 146, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(.5*(X-1j*Y))@(.5*(X+1j*Y))@zero, (.5*(X-1j*Y))@(.5*(X+1j*Y))@one" + ] + }, + { + "cell_type": "code", + "execution_count": 147, + "id": "62ebf581", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[1.+0.j],\n", + " [0.+0.j]]),\n", + " array([[0.+0.j],\n", + " [0.+0.j]]))" + ] + }, + "execution_count": 147, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(.5*(X+1j*Y))@(.5*(X-1j*Y))@zero, (.5*(X+1j*Y))@(.5*(X-1j*Y))@one" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "id": "a3fdd2d5", + "metadata": {}, + "outputs": [], + "source": [ + "A=1/4*(np.kron(X,np.kron(X,X))+np.kron(X,np.kron(Y,Y))+np.kron(Y,np.kron(X,Y))-np.kron(Y,np.kron(Y,X)))\n", + "B=1/2*(np.kron(I,np.kron(X,X))+np.kron(I,np.kron(Y,Y)))\n", + "C=np.kron(I,np.kron(I,X))" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "id": "91858a9f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j]]),\n", + " array([[0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [1.+0.j],\n", + " [0.+0.j]]),\n", + " array([[0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [1],\n", + " [0],\n", + " [0],\n", + " [0]]))" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A@np.kron(one,np.kron(zero,one)),\\\n", + "B@np.kron(one,np.kron(zero,one)),\\\n", + "C@np.kron(one,np.kron(zero,one))" ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "26e38761", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j]]),\n", + " array([[0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j],\n", + " [1.+0.j],\n", + " [0.+0.j],\n", + " [0.+0.j]]),\n", + " array([[0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [0],\n", + " [1]]))" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A@np.kron(one,np.kron(one,zero))-np.kron(zero,np.kron(zero,one)),\\\n", + "B@np.kron(one,np.kron(one,zero)),\\\n", + "C@np.kron(one,np.kron(one,zero))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dc2a4c5b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a1e6ecf1", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "42d1fbc3", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9fbd4b57", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "68da3060", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "26f2caf0", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0a4d3b72", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -354,7 +763,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/newbeginning 001 110 101 mixing.ipynb b/newbeginning 001 110 101 mixing.ipynb index 299d689..51408bc 100644 --- a/newbeginning 001 110 101 mixing.ipynb +++ b/newbeginning 001 110 101 mixing.ipynb @@ -38,7 +38,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 3, "id": "8e79c8e1", "metadata": {}, "outputs": [], @@ -54,61 +54,198 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 38, + "id": "385263ae", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([0, 1, 0, 0, 0, 0, 0, 0]),\n", + " array([0, 0, 0, 0, 0, 0, 1, 0]),\n", + " array([0, 0, 0, 0, 0, 1, 0, 0]))" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "zero=np.array([[1],[0]])\n", + "one=np.array([[0],[1]])\n", + "zze = np.kron(zero,np.kron(zero,one))\n", + "eez = np.kron(one,np.kron(one,zero))\n", + "eze = np.kron(one,np.kron(zero,one))\n", + "zze.flatten(), eez.flatten(), eze.flatten()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, "id": "688dd638", "metadata": {}, "outputs": [], "source": [ - "eeo=np.array([[0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [1],\n", - " [0]],dtype=complex)\n", - "ooe=np.array([[0],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0]],dtype=complex)\n", - "eoe=np.array([[0],\n", - " [0],\n", - " [1],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0],\n", - " [0]],dtype=complex)" + "# eeo=np.array([[0],\n", + "# [0],\n", + "# [0],\n", + "# [0],\n", + "# [0],\n", + "# [0],\n", + "# [1],\n", + "# [0]],dtype=complex)\n", + "# ooe=np.array([[0],\n", + "# [1],\n", + "# [0],\n", + "# [0],\n", + "# [0],\n", + "# [0],\n", + "# [0],\n", + "# [0]],dtype=complex)\n", + "# eoe=np.array([[0],\n", + "# [0],\n", + "# [1],\n", + "# [0],\n", + "# [0],\n", + "# [0],\n", + "# [0],\n", + "# [0]],dtype=complex)" ] }, { "cell_type": "code", "execution_count": null, - "id": "3b8321be", + "id": "0697eb80", "metadata": {}, "outputs": [], - "source": [ - "mixerbinstrings=['001<->110','01<->10_ind01','0<->1_ind2']" - ] + "source": [] }, { "cell_type": "code", - "execution_count": 85, - "id": "6a969b6d", + "execution_count": 6, + "id": "5e8e0e8c", "metadata": {}, "outputs": [], "source": [ - "sv=1./np.sqrt(2)*(eeo+eoe).flatten()\n", - "mbs=['01<->10_ind12']" + "sv=1./np.sqrt(2)*(zze+eez).flatten()\n", + "mixers=[Mixer('001<->110', np.array((2,1,0)))]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "36b8ad2c", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.4999999999999996\n" + ] + }, + { + "data": { + "text/html": [ + "
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+       "«q_2: ┤ Sdg ├─░─┤ S ├┤ H ├──■───────────────────────■──┤ H ├┤ Sdg ├─░──░─\n",
+       "«     └─────┘ ░ └───┘└───┘                             └───┘└─────┘ ░  ░
" + ], + "text/plain": [ + " ┌──────────────────────────────────────────┐ ░ ░ ┌───────┐ ░ ░ ┌───┐»\n", + "q_0: ┤0 ├─░──░─┤ Rz(0) ├─░──░─┤ H ├»\n", + " │ │ ░ ░ ├───────┤ ░ ░ ├───┤»\n", + "q_1: ┤1 Initialize(0,0.70711,0,0,0,0,0.70711,0) ├─░──░─┤ Rz(0) ├─░──░─┤ H ├»\n", + " │ │ ░ ░ ├───────┤ ░ ░ ├───┤»\n", + "q_2: ┤2 ├─░──░─┤ Rz(0) ├─░──░─┤ H ├»\n", + " └──────────────────────────────────────────┘ ░ ░ └───────┘ ░ ░ └───┘»\n", + "« ┌───┐┌───────┐┌───┐┌───┐ ░ ┌───┐┌───┐ ┌───┐┌───────┐┌───┐»\n", + "«q_0: ─────┤ X ├┤ Rz(0) ├┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────┤ X ├┤ Rz(0) ├┤ X ├»\n", + "« ┌───┐└─┬─┘└───────┘└─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐└─┬─┘└───────┘└─┬─┘»\n", + "«q_1: ┤ X ├──■─────────────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├──■─────────────■──»\n", + "« └─┬─┘ └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘ »\n", + "«q_2: ──■───────────────────────■──┤ H ├─░─┤ H ├───────■─────────────────────»\n", + "« └───┘ ░ └───┘ »\n", + "« ┌───┐┌─────┐ ░ ┌───┐┌───┐ ┌───┐┌───────┐┌───┐┌───┐┌─────┐»\n", + "«q_0: ┤ H ├┤ Sdg ├────────░─┤ S ├┤ H ├─────┤ X ├┤ Rz(0) ├┤ X ├┤ H ├┤ Sdg ├»\n", + "« ├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐└─┬─┘└───────┘└─┬─┘├───┤└┬───┬┘»\n", + "«q_1: ┤ X ├─┤ H ├─┤ Sdg ├─░─┤ H ├─────┤ X ├──■─────────────■──┤ X ├─┤ H ├─»\n", + "« └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘ └─┬─┘ ├───┤ »\n", + "«q_2: ──■───┤ H ├─────────░─┤ S ├┤ H ├──■───────────────────────■───┤ H ├─»\n", + "« └───┘ ░ └───┘└───┘ └───┘ »\n", + "« ░ ┌───┐ ┌───┐┌───────┐┌───┐┌───┐ ░ ░ \n", + "«q_0: ────────░─┤ H ├──────────┤ X ├┤ Rz(0) ├┤ X ├┤ H ├─────────────░──░─\n", + "« ░ ├───┤┌───┐┌───┐└─┬─┘└───────┘└─┬─┘├───┤┌───┐┌─────┐ ░ ░ \n", + "«q_1: ────────░─┤ S ├┤ H ├┤ X ├──■─────────────■──┤ X ├┤ H ├┤ Sdg ├─░──░─\n", + "« ┌─────┐ ░ ├───┤├───┤└─┬─┘ └─┬─┘├───┤├─────┤ ░ ░ \n", + "«q_2: ┤ Sdg ├─░─┤ S ├┤ H ├──■───────────────────────■──┤ H ├┤ Sdg ├─░──░─\n", + "« └─────┘ ░ └───┘└───┘ └───┘└─────┘ ░ ░ " + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "val, qc, job = qaoa.evaluate(np.array((0,0)), backend, mu=0, useExco=[False],sv=sv,mixers=mixers,barrier=True)\n", + "\n", + "print(val)\n", + "\n", + "# plot histogram\n", + "md=job.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])\n", + "\n", + "\n", + "qc.draw()" ] }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 8, "id": "e30a6408", "metadata": { "scrolled": false @@ -119,9 +256,9 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 1.500000\n", - " Iterations: 6\n", - " Function evaluations: 23\n" + " Current function value: 1.000002\n", + " Iterations: 15\n", + " Function evaluations: 29\n" ] }, { @@ -130,13 +267,13 @@ "(0.0, 1.0)" ] }, - "execution_count": 87, + "execution_count": 8, 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" ] @@ -172,8 +309,8 @@ "\n", "mu=0\n", "\n", - "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixerbinstrings=mbs,ng=20,nb=10)\n", - "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixerbinstrings=mbs)\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixers=mixers,ng=20,nb=10)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixers=mixers)\n", "\n", "# plot landscape\n", "_=getfig(Ecost,ng=20,nb=10)\n", @@ -191,140 +328,873 @@ }, { "cell_type": "code", - "execution_count": 44, - "id": "36b8ad2c", - "metadata": { - "scrolled": false - }, + "execution_count": null, + "id": "1496f3f6", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "1d816a54", + "metadata": {}, + "outputs": [], + "source": [ + "FR = np.array([[1,1, 0],\n", + " [1,0, 1]])\n", + "CR=np.array([2,1,2])\n", + "# CR=np.random.rand(4)\n", + "\n", + "# Normalize weights\n", + "CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "062003cc", + "metadata": {}, + "outputs": [], + "source": [ + "sv=1./np.sqrt(2)*(eez+eze).flatten()\n", + "mixers=[Mixer('01<->10', np.array((1,0)))]" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "a5fb941b", + "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.6249999999999996\n" + ] + }, { "data": { "text/html": [ - "
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-       "«                         └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘     »\n",
-       "«q_2: ──────────────────────■───┤ H ├─────────░─┤ S ├┤ H ├──■───────»\n",
-       "«                               └───┘         ░ └───┘└───┘          »\n",
-       "«     ┌─────────────┐┌───┐┌───┐┌─────┐        ░ ┌───┐          ┌───┐»\n",
-       "«q_0: ┤ RZ(-1.0996) ├┤ X ├┤ H ├┤ SDG ├────────░─┤ H ├──────────┤ X ├»\n",
-       "«     └─────────────┘└─┬─┘├───┤└┬───┬┘        ░ ├───┤┌───┐┌───┐└─┬─┘»\n",
-       "«q_1: ─────────────────■──┤ X ├─┤ H ├─────────░─┤ S ├┤ H ├┤ X ├──■──»\n",
-       "«                         └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘     »\n",
-       "«q_2: ──────────────────────■───┤ H ├─┤ SDG ├─░─┤ S ├┤ H ├──■───────»\n",
-       "«                               └───┘ └─────┘ ░ └───┘└───┘          »\n",
-       "«     ┌────────────┐┌───┐┌───┐             ░  ░ ┌──────────────┐»\n",
-       "«q_0: ┤ RZ(1.0996) ├┤ X ├┤ H ├─────────────░──░─┤0             ├»\n",
-       "«     └────────────┘└─┬─┘├───┤┌───┐┌─────┐ ░  ░ │  RXX(-7π/10) │»\n",
-       "«q_1: ────────────────■──┤ X ├┤ H ├┤ SDG ├─░──░─┤1             ├»\n",
-       "«                        └─┬─┘├───┤├─────┤ ░  ░ └──────────────┘»\n",
-       "«q_2: ─────────────────────■──┤ H ├┤ SDG ├─░──░─────────────────»\n",
-       "«                             └───┘└─────┘ ░  ░                 »\n",
-       "«     ┌──────────────┐┌──────────────┐┌──────────────┐ ░               ░ \n",
-       "«q_0: ┤0             ├┤1             ├┤1             ├─░───────────────░─\n",
-       "«     │  RYY(-7π/10) ││  RXX(-7π/10) ││  RYY(-7π/10) │ ░               ░ \n",
-       "«q_1: ┤1             ├┤0             ├┤0             ├─░───────────────░─\n",
-       "«     └──────────────┘└──────────────┘└──────────────┘ ░ ┌───────────┐ ░ \n",
-       "«q_2: ─────────────────────────────────────────────────░─┤ RX(-7π/5) ├─░─\n",
-       "«                                                      ░ └───────────┘ ░
" + "
     ┌──────────────────────────────────────────┐ ░  ░ ┌───────┐ ░   ┌───┐  »\n",
+       "q_0: ┤0                                         ├─░──░─┤ Rz(0) ├─░───┤ H ├──»\n",
+       "     │                                          │ ░  ░ ├───────┤ ░   ├───┤  »\n",
+       "q_1: ┤1 Initialize(0,0,0,0,0,0.70711,0.70711,0) ├─░──░─┤ Rz(0) ├─░───┤ H ├──»\n",
+       "     │                                          │ ░  ░ ├───────┤ ░ ┌─┴───┴─┐»\n",
+       "q_2: ┤2                                         ├─░──░─┤ Rz(0) ├─░─┤ U1(0) ├»\n",
+       "     └──────────────────────────────────────────┘ ░  ░ └───────┘ ░ └───────┘»\n",
+       "«     ┌───┐┌───────┐┌───┐┌───┐ ░ ┌───┐┌───┐┌───┐┌───────┐┌───┐┌───┐┌─────┐ ░ »\n",
+       "«q_0: ┤ X ├┤ Rz(0) ├┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├┤ Rz(0) ├┤ X ├┤ H ├┤ Sdg ├─░─»\n",
+       "«     └─┬─┘└───────┘└─┬─┘├───┤ ░ ├───┤├───┤└─┬─┘└───────┘└─┬─┘├───┤├─────┤ ░ »\n",
+       "«q_1: ──■─────────────■──┤ H ├─░─┤ S ├┤ H ├──■─────────────■──┤ H ├┤ Sdg ├─░─»\n",
+       "«                        └───┘ ░ └───┘└───┘                   └───┘└─────┘ ░ »\n",
+       "«q_2: ─────────────────────────░───────────────────────────────────────────░─»\n",
+       "«                              ░                                           ░ »\n",
+       "«      ░ \n",
+       "«q_0: ─░─\n",
+       "«      ░ \n",
+       "«q_1: ─░─\n",
+       "«      ░ \n",
+       "«q_2: ─░─\n",
+       "«      ░
" ], "text/plain": [ - " ┌────────────────────────────────────────────────┐┌──────────┐ ░ ┌───┐»\n", - "q_0: ┤0 ├┤ RZ(3π/2) ├─░─┤ H ├»\n", - " │ │├──────────┤ ░ ├───┤»\n", - "q_1: ┤1 initialize(0,0.57735,0.57735,0,0,0,0.57735,0) ├┤ RZ(3π/2) ├─░─┤ H ├»\n", - " │ │├──────────┤ ░ ├───┤»\n", - "q_2: ┤2 ├┤ RZ(3π/2) ├─░─┤ H ├»\n", - " └────────────────────────────────────────────────┘└──────────┘ ░ └───┘»\n", - "« ┌───┐┌─────────────┐┌───┐┌───┐ ░ ┌───┐┌───┐ ┌───┐»\n", - "«q_0: ─────┤ X ├┤ RZ(-1.0996) ├┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────┤ X ├»\n", - "« ┌───┐└─┬─┘└─────────────┘└─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐└─┬─┘»\n", - "«q_1: ┤ X ├──■───────────────────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├──■──»\n", - "« └─┬─┘ └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘ »\n", - "«q_2: ──■─────────────────────────────■──┤ H ├─░─┤ H ├───────■───────»\n", - "« └───┘ ░ └───┘ »\n", - "« ┌─────────────┐┌───┐┌───┐┌─────┐ ░ ┌───┐┌───┐ ┌───┐»\n", - "«q_0: ┤ RZ(-1.0996) ├┤ X ├┤ H ├┤ SDG ├────────░─┤ S ├┤ H ├─────┤ X ├»\n", - "« └─────────────┘└─┬─┘├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐└─┬─┘»\n", - "«q_1: ─────────────────■──┤ X ├─┤ H ├─┤ SDG ├─░─┤ H ├─────┤ X ├──■──»\n", - "« └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘ »\n", - "«q_2: ──────────────────────■───┤ H ├─────────░─┤ S ├┤ H ├──■───────»\n", - "« └───┘ ░ └───┘└───┘ »\n", - "« ┌─────────────┐┌───┐┌───┐┌─────┐ ░ ┌───┐ ┌───┐»\n", - "«q_0: ┤ RZ(-1.0996) ├┤ X ├┤ H ├┤ SDG ├────────░─┤ H ├──────────┤ X ├»\n", - "« └─────────────┘└─┬─┘├───┤└┬───┬┘ ░ ├───┤┌───┐┌───┐└─┬─┘»\n", - "«q_1: ─────────────────■──┤ X ├─┤ H ├─────────░─┤ S ├┤ H ├┤ X ├──■──»\n", - "« └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘ »\n", - "«q_2: ──────────────────────■───┤ H ├─┤ SDG ├─░─┤ S ├┤ H ├──■───────»\n", - "« └───┘ └─────┘ ░ └───┘└───┘ »\n", - "« ┌────────────┐┌───┐┌───┐ ░ ░ ┌──────────────┐»\n", - "«q_0: ┤ RZ(1.0996) ├┤ X ├┤ H ├─────────────░──░─┤0 ├»\n", - "« └────────────┘└─┬─┘├───┤┌───┐┌─────┐ ░ ░ │ RXX(-7π/10) │»\n", - "«q_1: ────────────────■──┤ X ├┤ H ├┤ SDG ├─░──░─┤1 ├»\n", - "« └─┬─┘├───┤├─────┤ ░ ░ └──────────────┘»\n", - "«q_2: ─────────────────────■──┤ H ├┤ SDG ├─░──░─────────────────»\n", - "« └───┘└─────┘ ░ ░ »\n", - "« ┌──────────────┐┌──────────────┐┌──────────────┐ ░ ░ \n", - "«q_0: ┤0 ├┤1 ├┤1 ├─░───────────────░─\n", - "« │ RYY(-7π/10) ││ RXX(-7π/10) ││ RYY(-7π/10) │ ░ ░ \n", - "«q_1: ┤1 ├┤0 ├┤0 ├─░───────────────░─\n", - "« └──────────────┘└──────────────┘└──────────────┘ ░ ┌───────────┐ ░ \n", - "«q_2: ─────────────────────────────────────────────────░─┤ RX(-7π/5) ├─░─\n", - "« ░ └───────────┘ ░ " + " ┌──────────────────────────────────────────┐ ░ ░ ┌───────┐ ░ ┌───┐ »\n", + "q_0: ┤0 ├─░──░─┤ Rz(0) ├─░───┤ H ├──»\n", + " │ │ ░ ░ ├───────┤ ░ ├───┤ »\n", + "q_1: ┤1 Initialize(0,0,0,0,0,0.70711,0.70711,0) ├─░──░─┤ Rz(0) ├─░───┤ H ├──»\n", + " │ │ ░ ░ ├───────┤ ░ ┌─┴───┴─┐»\n", + "q_2: ┤2 ├─░──░─┤ Rz(0) ├─░─┤ U1(0) ├»\n", + " └──────────────────────────────────────────┘ ░ ░ └───────┘ ░ └───────┘»\n", + "« ┌───┐┌───────┐┌───┐┌───┐ ░ ┌───┐┌───┐┌───┐┌───────┐┌───┐┌───┐┌─────┐ ░ »\n", + "«q_0: ┤ X ├┤ Rz(0) ├┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├┤ Rz(0) ├┤ X ├┤ H ├┤ Sdg ├─░─»\n", + "« └─┬─┘└───────┘└─┬─┘├───┤ ░ ├───┤├───┤└─┬─┘└───────┘└─┬─┘├───┤├─────┤ ░ »\n", + "«q_1: ──■─────────────■──┤ H ├─░─┤ S ├┤ H ├──■─────────────■──┤ H ├┤ Sdg ├─░─»\n", + "« └───┘ ░ └───┘└───┘ └───┘└─────┘ ░ »\n", + "«q_2: ─────────────────────────░───────────────────────────────────────────░─»\n", + "« ░ ░ »\n", + "« ░ \n", + "«q_0: ─░─\n", + "« ░ \n", + "«q_1: ─░─\n", + "« ░ \n", + "«q_2: ─░─\n", + "« ░ " + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "val, qc, job = qaoa.evaluate(np.array((0,0)), backend, mu=0, useExco=[False],sv=sv,mixers=mixers,barrier=True)\n", + "\n", + "print(val)\n", + "\n", + "# plot histogram\n", + "md=job.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])\n", + "\n", + "\n", + "qc.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "caf908f1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 1.250001\n", + " Iterations: 16\n", + " Function evaluations: 29\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" ] }, - "execution_count": 44, + "execution_count": 51, "metadata": {}, "output_type": "execute_result" + }, + { + "data": { + 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5550iVyQ84YQTMmfOnPTs2TNvv/12g/suWLCg9opx2267bUaOHJmddtopG220UWbPnp0//vGP+fd///fMnz8/P/zhD9OhQ4d897vfXeM1QlNq6nN40KBBjfo59IQTTsjkyZOT1P1z6M9//vPa78nr8/7772fIkCFZsmRJvvjFL9b7npT3p2nplixZkuOOOy6LFy9u1Ne3xmjXrl122223fO1rX8vAgQOz8cYbZ4MNNsg777yTp556Kv/xH/+Rl19+OTfeeGNatWpV5xVH582bl+HDh+fJJ59MknzrW9/KP//zP6dfv36ZOXNmbrrpplx22WX/v707j9tqzh/H/7rrVtFKtIkSSqMII2P7JrIrEpNlUg0jY/mMsc0wizB2xvAZig8je7YGmU+WtChKCS1kC6FU0iZLddf5/dGv63Pn3q7q3Nd1V8/n49HjcbrP+3q/X+e6rvc513mf13mfePPNN+O4446LsWPHRs2aNUvUY4yaTdlvf/vbOPfcc8tcX7t27Q2qf0OvF6d1rckYNZuqyu7DG3q9uLgNuc5UnDFqNkr5zoqEXFkzU0phYWGpd27edNNNmSzyq666ar3aGDVq1Fp3eBYVFa21/uuvv0523HHHJCKSrbfeusw7V4rfjfrEE0+UWP/EE09k1vft27fUOhYuXJg0aNAgiYhkxx13TL7++uu11hcVFSVdu3bN1DN69Oj12mbIlVz04SRJkl69emXaGTx4cJnlVq1alaxYsaLE33v37p3cfffdyY8//ljq67777rvkoIMOysT64IMPllru/PPPz5S59NJLSy1zxx13rLXPgarsr3/9azJ06NDM3deffvpp5vub1ixrgwcPTvr165fMnDmzzDLF+82hhx5aZrk1d7ClPQPcT3Xs2DGJiKSgoKDcuCHfctGHkyRJ2rVrl6n3+eefL7XMiSeemClz6623llj/5ptvZta3atUqWbJkSYkyM2fOzPxWrlatWjJv3rwSZYrfhbohs1xAVXDssccmjz/+eIlz1DW+/vrrpHXr1pnv/KuvvrrebRWfKXFD3HzzzclTTz211vFxTb3Z3u1e2u/1n/rd736XqfeOO+5Y33Ch0pXVf4v797//nfk+n3jiievVzgsvvJAMHDgwmTRpUqYPFR+nWt+ZEp955pkkIpLtttsuufXWWzP1lTVT4pdffpkcfvjhybhx48qsc/z48cmWW26ZRERSv379Uo/5UFXkqg9XZOHChZknDOyyyy7rXc9dd92VifWaa64psy3j02zqbrvttiQikt122y25/PLLUzmHrOg37Pfff5/sv//+mbamTJlSoszNN9+81jWkVatWlSjzr3/9q9xz6yQxRs2mac33tTJnFEvjenFa15qyYYyajUku+nCSbPj14iRJ5zqTMWo2dpIS2SxMmDAhs7Pu169fqWVWrlyZtG3bNvMDcPny5evczjHHHJNERFK9evXkiy++KLXMY489lonllltuKbF+zpw5SfXq1ZOI1VNul+XII4/MtFXa9PrFE7Qee+yxUuv44osvMm0dd9xxWW4l5F6u+vCYMWMy7fTv339Dwy7T1KlTM+1069at1DJ77bVX5iRw8eLFpZZZtWpVss022yQRkTRs2LDS4oXKUFkJTdn4+c9/nklEmj9/fqllcpGU+P7772feg86dO1daO1AZKqMPL168OFPn3nvvXWa5yZMnZ8r16NGjxPrbb789qwSj3//+95lyQ4cOLbHegA+bm6FDh2a+8//1X/+13vWklZRYmnVNSszGnDlzMvWedNJJqdUL+bLbbrslEasfAZuWDU1KXLJkSdK8efMkIpIHHngguf/++ytMSszWxRdfnKlryJAhG1QXVAWV0YeLGzhwYKbPbMhNvWseCVtQUJB89tlnpZYxPs2m7vPPP0/q1KmTOWcs/ju4ss8hBw8enGnrn//8Z4n1a274q127drJo0aIy61nzqOjGjRsnK1euLLHeGDWbolwkNKVxvTgb2VxrqogxajY2uejDaV0vlpQISVJyDl/YBD3zzDOZ5b59+5Zaplq1anHGGWdExOrHT6x53Fu2li5dGq+88kpERBx++OHRvHnzUsudeOKJUa9evYiIGDJkSIn1zz33XKxcubLcWCMi+vTpExERK1eujOeee67E+jXbXK9evTjxxBNLraN58+bRpUuXiIh4+eWXY+nSpWW2B/mUiz4cEfHPf/4zIiLq1KkTF1988Tq/Plvt2rWLbbfdNiKizEdgLV++PCIiGjZsmNln/FRBQUG0atUqIlY/2grIziGHHBIRqx+x8+mnn+YtjgcffDCz7LEY8H/HvojIHN9Ks/POO2eWSzv+pVUPbG7WHB8jyv6Nuikq/jifH3/8MY+RQDrWfKer0vf58ssvjy+//DIOOeSQzHl7Wjp37pxZ3pz2XWy6KrsPrzkPLSgoiF69eq1XHR999FGMHz8+IiI6deoULVq0KLWc8Wk2deeee24sXbo0evfuvdZv6Vwo7zfsDz/8ENOmTYuIiP333z/q169fZj1HHXVURETMnTs3xowZU2K9MWpYd2ldL85GNteaKmKMGkrK1fVi2BxISmSzsOZkqnbt2rHPPvuUWa5Tp06Z5bFjx65TGxMmTMiccBWv56dq1KgRv/jFLzKvWbFiRamxVlRPebEuX748JkyYEBGrTzpr1KhRYT3Lli2LiRMnllkO8ikXfXj58uXx7LPPRkTE0UcfHXXq1ImIiKKiopg5c2Z8/vnnayU5bKg1dVWrVvqhuHXr1hER8c0338SSJUvKrOeTTz5ZqzxQseIDpGX1wcqWJEk88sgjEbF639ajR4+8xAFVybbbbhvbbLNNRPzf8a00xQdZSzv+Ff/bhtQDm5viv3XzdXzMh8ceeyyzvNtuu+UxEthw06dPj3feeSciqs73+Y033ogBAwZEjRo1YsCAAanXXxV+20NaKrsPz5gxI15//fWIiDj44INjp512Wq96iicvlJVobHyaTd0TTzwRzz//fGyzzTZx880357z98n7DLly4MLPcuHHjcuspvn706NEl1hujhnWX1vXibFV0rak8xqihpFxfL4ZNnZEaNgvTp0+PiIhddtklCgsLyyxX/ORtzWvWtY2f1lNeO0VFRfHRRx+VWk/9+vWjSZMmZdbRtGnTzB00P431o48+iqKionWKpbR6oKrIRR+ePHly5q7S/fffP+bMmRN9+/aNBg0aRMuWLaNFixZRv379OOaYYzIDuOvr7bffzgzilNVH+/XrFxGrTwqvu+66UsvceeedsWDBgrXKAxVbM8haWFgYu+yyS7llX3311dhjjz2idu3asdVWW8VOO+0UPXv2jGeeeSaSJFnvGEaNGhUzZ86MiNV3xa45sYXN3dlnnx0REW+99VYMGzas1DLXXHNNRERUr149zjrrrBLrjzzyyGjZsmVERNx+++3x3XfflSjz5ZdfxqBBgyJi9XG/ffv25cZ1xRVXRPPmzaNGjRqx9dZbx1577RW///3v48MPP8x206DKK34RMq1EiMMPPzwaNmwYNWrUiEaNGsUhhxwSN9xww1oXSvNh4cKF8fbbb8dFF10U5513XkSsviB0zjnn5DUuWB/ff/99fPTRR/H3v/89OnfunHn6xu9+97s8RxaxYsWK+M1vfhOrVq2KSy+9tFKSrCpj3wW5lMs+nMZMSEmSxMMPPxwREVtttVWcdNJJpZYzPs2mbNGiRZk+euONN8Z2221X6W2uWrUq5s6dGyNGjIju3bvHo48+GhERbdq0iSOPPHKtssVnUVy8eHG59RZf/95775VYb4yaTdmTTz4Zbdq0iS233DLq1q0bu+66a/Tu3TtGjhy5QfWmdb04G9lcayqPMWo2ZpXVhyvjenFa15mMUbNRyuOjoyEnfvjhhyQikohIjj322ArL165dO4mI5Be/+MU6tfOHP/wh087EiRPLLXvzzTdnyr7wwgtrrWvcuHESEcnuu+9eYZu77757EhFJkyZN1vr7sGHDMvXffPPN5dYxceLETNk//vGPFbYJuZarPjxo0KBMO9ddd12y7bbbZv7/03/VqlVLbrvttvXcoiQ56aSTMnU9+eSTZZYrvl858cQTk6effjqZOHFi8txzzyW//vWvk2rVqiURkZx++ulJUVHRescD+fDpp59mvt+9e/fOWbvPP/98VvuUFi1alLkPWPPvwAMPTL788sv1iqNPnz6Zel5++eX13RzIm8rqw99++23SpUuXJCKSmjVrJhdffHHyv//7v8mECROSwYMHJ506dUoiIqlevXpy5513llnPa6+9lmyzzTZJRCQ777xzMnDgwGTs2LHJyJEjk1tuuSVp1KhREhFJy5Ytk/fff7/UOkaOHFnhfqBatWrJlVdemaxatSq19wDyYeXKlUnHjh2zPqctz5VXXllh32nQoEHyzDPPrHPda17fqVOndX5t7969y4xnyy23TJ544ol1rhPy5f777y+3j11yySWpHpuK959PP/0069dde+21SUQkrVq1Sr7//vtS47///vvXO67Zs2cndevWTSIi2XbbbddqA6qyXPfhNVq1apU57i1evHi96hg1alQmztNPP73Mcsan2ZT95je/SSIiOeCAA9bqq8V/B48cOTKVtsobn2rRokUybdq0Ul/XtGnTzPFx2bJlZdbftWvXTH37779/qWWMUbOpqeh8NSKSE044IVm0aNF61Z/W9eJsZHutqSzGqNkYVXYfTvN6cRrXmYxRs7Ere7op2ER8++23meVs7vCoXbt2fPfdd7F06dJKa6f4nWo/bWdNPdnGWl4dGxoLVAW56sNr7uaMiLjqqqti2bJlcdxxx0X//v2jXbt2sXjx4nj66afjj3/8YyxZsiQuuuiiaNOmTRx99NHr1M7TTz8dTz31VERE7LPPPuVOh3/DDTfEoYceGtdff30MGTIkhgwZstb6vfbaK/74xz/GL3/5y3WKATZXCxYsyMyGVL169cxsa6WpUaNGdOvWLY444oho165d1K9fPxYtWhTjxo2LAQMGxBdffBGvvfZaHH744TFu3LioX79+1nF8//338fTTT0dERPPmzePQQw/dsA2DTUidOnVi2LBhMWjQoLjhhhvi1ltvjVtvvXWtMieeeGJcdtllsd9++5VZzwEHHBBvv/123HHHHXHHHXeUmP2sTp06cdVVV8W5554b2267bZn1NG3aNE488cQ46KCDolWrVlFYWBiff/55DB06NB566KFYsWJFXHXVVbF8+fIyZ42AjcFtt92WecRi9+7d4+c///kG1de+ffs44YQTomPHjtGsWbNYsWJFfPDBB/HII4/ESy+9FIsWLYoePXrE0KFD1/n3dNp69uwZN954Y7Ro0SKvcUAaOnToEAMHDiz3GJkrH3/8ceb39p133hlbbrllqvUnSRLnnHNOZszgL3/5S+ptQK5VZh8eM2ZM5vGq3bt3zzyBZ11lO9ui8Wk2VWPHjo177703CgsLY+DAgVFQUJDzGAoLC+Ovf/1r/O53vyuzLx9//PExcODAmD9/ftx6661x+eWXlygzduzY+M9//pP5f/F+W5wxajY1W221VXTr1i0OO+yw2G233aJOnTrx9ddfx+jRo2PgwIHxzTffxDPPPBPHH398vPzyy7HFFlusU/25Ogauy7Wm0hijZmNV2X04zevFaV1nMkbNRi3fWZFQ2T7//PNMlnivXr0qLL/DDjtkZlRZF7/+9a8z7cyYMaPcsvfdd1+m7EMPPbTWujV3lR188MEVtnnwwQcnEatniinuwQcfzNR/3333lVvHjBkzMmXPPPPMCtuEXMtVH77mmmvWuquka9euycqVK0uUGzNmTKaftmvXbp3uOpk+fXpmFoctt9wyeffdd8stP3v27OT0009PatWqVeqdL4WFhUm3bt2S6dOnr9O2QlWQ65kSi4qKkqOOOirT5pVXXllu+YULF5a5bsmSJckRRxyRqev3v//9OsXyyCOPmAWCjV5l9uFx48Ylhx56aFJQUFDq8a9evXrJb3/723Jnd1m1alVy6623lns3atu2bZNBgwaVWcfSpUuT5cuXl7n+jTfeSOrXr59ERFJQUJC8/fbbG7LZkDejRo1KCgsLk4hIGjVqlMyZM2eD6ivvGJokSTJw4MBMP2zWrNk6zWy25nXrM1Pil19+mUydOjWZOnVq8tprryUDBgxI9t577yQikoMOOij58MMP17lOyJeFCxdmvs8TJkxIHnvssaR79+6Zc+GhQ4em2t76zJR42GGHJRGRnHzyySXWpTFT4t/+9rdMHZ07dy71/B2qqlz34ST5v5ndYj1nYkqS1U8zqVevXhIRyfbbb19uvzM+zaZo2bJlSdu2bZOISC699NIS6ytjpsQPPvggmTp1ajJ58uRkxIgRyTXXXJM0a9YsqVGjRtKrV6/k22+/LfV1n332Waa/FhQUJBdeeGHy4YcfJsuXL0+++uqr5J///GdSt27dpKCgIHMuUNZ4ujFqNjXlnbPOmTMn2WuvvTLf79tvv32d60/renF51vVaU2mMUbOxquw+nOb14jSuMxmjZmNXraKkRdjY1apVK7O8fPnyCssvW7YsImKd765el3bWtFFaO2vq2ZBY04oFqoJ89OGIiJtvvjmqVSt5mDzooIPixBNPjIiIadOmxbRp07Kqf/bs2XH00UfHt99+GwUFBXHffffFz372szLLT58+PTp27BiPPPJI1K5dO+6666744osvYvny5TFnzpx48MEHo1mzZvHcc8/F/vvvH2PGjFmHrYXNz7nnnhsvvPBCREQce+yx8Ze//KXc8g0aNChzXd26deOJJ56Ihg0bRkTEPffck9X+aY3iM0ucccYZWb8ONgdPPfVUHHLIITFixIho3759/Pvf/45vvvkmli9fHjNmzIjrrrsuVqxYEQMGDIgDDjgg5syZU6KOVatWRc+ePePiiy+OmTNnxplnnhlvvfVW/PDDD7F06dIYO3ZsdOvWLaZPnx59+vSJiy++uNRYateuXe6dtB07dow777wzIlbP1rRmGTYm7777bnTv3j2KioqiZs2a8cQTT0Tjxo03qM7yjqEREf369YuzzjorIlb/Rv7pTCuVZfvtt4927dpFu3bt4oADDohzzjknJkyYEP369YuxY8fGfvvtF5MnT85JLLChGjRokPk+77vvvnHKKafEkCFD4sEHH4xPPvkkjj/++Bg0aFDe4hs0aFC88sorUa9evfjHP/6Rev2PPPJI5vd8y5Yt49FHHy31/B2qqlz34WXLlsWTTz4ZERHNmjWLLl26rFc9zzzzTCxZsiQiIn71q1+V2++MT7Mpuu6662L69Omx4447xpVXXpmTNlu3bh3t2rWLPfbYIzp37hx//vOfY9q0abHnnnvGQw89FAceeGCpMxy2aNEinnzyyahbt24kSRL/+Mc/onXr1lGjRo1o2rRpnH/++fHtt9/GDTfckOmvdevWLVGPMWo2ReWdszZu3DieeuqpqFGjRkRE/Pd///c611/Zx8B1vdZUFmPUbKxy2YcjNux6cRrXmYxRs7EzWsMmr/iJVDZTX3/33XcRkd1jYte3nTVtlNbOmno2JNa0YoGqIB99eKeddoo2bdqUWfbII4/MLE+cOLHCuhcsWBBHHHFEfPbZZxERcfvtt8epp55a7mt69eoVX375ZWy11VYxZsyY+O1vfxvNmzePLbbYIho3bhy9evWKcePGRePGjWPRokVx6qmnrnUCC/yfyy+/PO65556IWH2i+OSTT0b16tU3qM769evHKaecEhGr9ztvvvlmVq/76quvYvjw4RERse+++0bbtm03KA7YlMydOzf69OkTy5Yti9133z1ef/31OOGEE2KbbbaJLbbYIlq1ahWXX355DB06NAoKCuLdd9+NCy64oEQ9d911V+aia//+/ePee++NvfbaK2rVqhW1a9eOAw88MJ599tno1atXRET8/e9/X+uRVeuiZ8+emcdqjB49ej23HPLj008/jSOOOCIWLlwY1atXj8ceeyw6deqUk7b79euXWc5n36levXrccccdscMOO8TChQvjt7/9bd5igTT06tUrTj755Fi1alWcf/75sXDhwpzH8PXXX8cll1wSERHXXHNNNGvWLNX6//Of/0Tfvn0jSZJo3LhxvPzyy9GkSZNU24B8qaw+/Oyzz8aiRYsiIuL0009f7/PhdUleMD7Npub999+P66+/PiJWJzgUf+Rqrm299dbxwAMPRETElClTMnH91BFHHBHvvPNOnHnmmZmEhzV+8YtfxP/+7//Geeedl+mjW2+9dYk6jFGzOWrVqlUcfvjhERHx8ccfx+zZs9fp9ZV5DFyfa02lMUbNpizNPpz29eKfWt/rTD9ljJqqTFIim7xatWrFtttuGxERX375ZbllFy5cmPkBuMMOO6xTO82bN88sV9TOF198kVn+aTtr6qmojuL1lFXHhsYCVUGu+nDx8sX7UEVl582bV27Zb7/9No466qh49913I2L1RZnSEiiKmzx5ckyaNCkiVg8Wl3VC2KxZs0xds2bNyswCB/yfG2+8MW644YaIiNh7773j+eefT23mheJ3oM6aNSur1zzyyCOxcuXKiHAHKvzU4MGDM8fxK664osyLPIcddlgcdthhERExZMiQEhdr77vvvohYPYD0xz/+scz2rrvuuszyvffeu14xFxYWRuvWrSMi+/0AVAWzZ8+OLl26xOzZs6OgoCD+9a9/Rffu3XPW/vocQytLjRo14qijjoqIiHHjxq3zYDVUNccff3xErL6gMWzYsJy3f++998Y333wTDRo0iIYNG8bgwYNL/HvjjTcy5d94443M3ys6vx41alScdNJJsWLFith6663jpZdeil122aWyNwlyqjL6cBozIc2dOzdeeumliIjYZ599KpyRyfg0m5rbbrstli9fHq1atYrvv/++1ONb8RmSRowYkfl78aSjtLRt2zZ23XXXiFj9xIGytGrVKu699974+uuvY/bs2fHBBx/E4sWLY9y4cXH00UevNVP4T/u1MWo2ZxtyzlpZx8D1udZUFmPUbOo2pA9X1vXisqQxRmaMmqqsMN8BQC60bds2xowZEx9//HEUFRVFYWHpX/33339/rdesi+IHjOL1lNdOYWFhicHTn/3sZzFp0qRYvHhxzJkzp8y7vb/66qvM4zJ+Gmvr1q2jevXqsXLlyqxjKa0eqCpy0Yd33333zPKak7GyFF9fViwRET/88EN07do1c3fMpZdeGn/+858rjGX69OmZ5b333rvcsvvss09m+f33388MXgOrZ0tbk5DUtm3bePHFFzN3i6UhSZJ1fs1DDz0UERFbbLHFet3FCpuydT3+DR8+PFatWhUffvhh7LfffiXq+dnPfhY1a9Yss47mzZtH48aNY+7cuRX+Zi7P+uwLIJ/mz58fhx9+eHzyyScRsXqml1xfhKhq/Wa77bbLLM+cOTP1md0gl376fc61NbMjLVq0KH71q19VWH7gwIExcODAiIgYOXJkNGrUqNRyEyZMiK5du8aPP/4YderUiWHDhsUee+yRXuBQRaTdh+fNmxcvvvhiRKz+jd2uXbv1qqd48kLv3r0rLG98mk3NmuPbJ598ktV4zjXXXJNZ/vTTTytlZsXtttsuPvroo6z2FQUFBdG0adNo2rTpWn8fO3ZsZrn4eXWEMWo2bxtyzprW9eLi1vdaU1mMUbOp25A+XBnXi8uT1hhZVRtrgzXMlMhm4aCDDoqI1XeYrrmzqzTFp7M98MAD16mNfffdN2rUqFGinp9avnx5jB8/vsRrfhprRfWUF2uNGjWiY8eOEbF6pofly5dXWE/NmjXj5z//eZnlIJ9y0YdbtGgRO+64Y0REzJgxo9yyxddvv/32pZZZsWJF9OjRIxPTOeecEzfddFNWsRT/4VpUVFRu2RUrVpT6OtjcPfTQQ3H++edHxOq7wocPH56ZdTUt7733XmY5m+SFd955J6ZMmRIREccee2yJR+fA5i6t49+a/1dUR/F61vcYWlRUFB9++GFEZLc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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "qaoa.createCircuit(x0, useExco=[False],sv=sv,mixerbinstrings=['001<->110','01<->10_ind01','0<->1_ind2']).draw()" + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "mu=0\n", + "\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixers=mixers,ng=20,nb=10)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixers=mixers)\n", + "\n", + "# plot landscape\n", + "_=getfig(Ecost,ng=20,nb=10)\n", + "# plot landscape\n", + "_=getfig(E,ng=20,nb=10)\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" ] }, { "cell_type": "code", "execution_count": null, - "id": "1496f3f6", + "id": "6b5349a8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": null, - "id": "062003cc", + "execution_count": 13, + "id": "c36d1a07", "metadata": {}, "outputs": [], - "source": [] + "source": [ + "FR = np.array([[1,1, 0],\n", + " [1,0, 1]])\n", + "CR=np.array([2,1,2])\n", + "# CR=np.random.rand(4)\n", + "\n", + "# Normalize weights\n", + "CR = CR/np.max(CR)" + ] }, { "cell_type": "code", - "execution_count": null, - "id": "a5fb941b", + "execution_count": 14, + "id": "66c99dcc", "metadata": {}, "outputs": [], - "source": [] + "source": [ + "sv=1./np.sqrt(2)*(eze+zze).flatten()\n", + "mixers=[Mixer('0<->1', np.array((2)))]" + ] }, { "cell_type": "code", - "execution_count": null, - "id": "caf908f1", + "execution_count": 15, + "id": "d944a9c8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.4999999999999996\n" + ] + }, + { + "data": { + "text/html": [ + "
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+       "«q_2: ─░─\n",
+       "«      ░
" + ], + "text/plain": [ + " ┌──────────────────────────────────────────┐ ░ ░ ┌───────┐ ░ ░ »\n", + "q_0: ┤0 ├─░──░─┤ Rz(0) ├─░───────────░─»\n", + " │ │ ░ ░ ├───────┤ ░ ░ »\n", + "q_1: ┤1 Initialize(0,0.70711,0,0,0,0.70711,0,0) ├─░──░─┤ Rz(0) ├─░───────────░─»\n", + " │ │ ░ ░ ├───────┤ ░ ┌───────┐ ░ »\n", + "q_2: ┤2 ├─░──░─┤ Rz(0) ├─░─┤ Rx(0) ├─░─»\n", + " └──────────────────────────────────────────┘ ░ ░ └───────┘ ░ └───────┘ ░ »\n", + "« ░ \n", + "«q_0: ─░─\n", + "« ░ \n", + "«q_1: ─░─\n", + "« ░ \n", + "«q_2: ─░─\n", + "« ░ " + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "val, qc, job = qaoa.evaluate(np.array((0,0)), backend, mu=0, useExco=[False],sv=sv,mixers=mixers,barrier=True)\n", + "\n", + "print(val)\n", + "\n", + "# plot histogram\n", + "md=job.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])\n", + "\n", + "\n", + "qc.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "069f144b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 1.000003\n", + " Iterations: 12\n", + " Function evaluations: 24\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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FA60//vGPDc4xefLkurX22GOPJr5K+OR9UufwQw89VLfO8OHDV3bbjXr66afr1tlzzz0bHLPNNtvUfRE4c+bMBscsXLiw0rlz50qSyjrrrNNs+4Xm0FxBU1Nst912dSHStGnTGhzzSUSJzz33XN3/g4EDBzbbOtAcmuMcnjlzZt2c2267baPjnnzyybpx++67b73jl156aZMCox/+8Id1426//fZ6x73hw+rm9ttvr/s7//3vf3+F5ykVJTZkeaPEpnjttdfq5t1vv/2KzQstZfPNN68kH94CtpSVjRJnzZpV6datWyVJ5dprr61cffXVy4wSm+rEE0/8/9q773Arqnt//O8DiCgI2EARBVFRIxpL1Ni+SuwajC0halBJTDSWG6PGqClqjC1qjLlRiFcjSjTEQhT1Ygy2WLDGhmLvBRQpioU6vz/4sS/IKRsYzjnA6/U853kGZu21PjN7rz171nxmTaWuoUOHLlRd0Bwsij48p4EDB1b6zMLc1Dv7kbA1NTXFG2+8UWsZ49Ms6d56662iXbt2lXPGOX8HL+pzyCFDhlTa+tOf/jTP+tk3/LVt27aYOHFinfXMflR0586dixkzZsyz3hg1S6LGSGgq43pxNaq51tQQY9QsbhqjD5d1vVhSIhTFvHP4whLo5ptvriz379+/1jItWrTIoYcemmTW4ydmP+6tWpMnT85dd92VJNl1113TtWvXWsvtv//+ad++fZJk6NCh86wfNmxYZsyYUW+sSXL44YcnSWbMmJFhw4bNs372Nrdv3z77779/rXV07do1u+yyS5LkX//6VyZPnlxne9CUGqMPJ8mf/vSnJEm7du1y4oknzvfrq9WrV6+sssoqSVLnI7CmTp2aJFl55ZUr3xlfVlNTkx49eiSZ9WgroDo77bRTklmP2Hn99debLI5rrrmmsuyxGPB/x74kleNbbdZZZ53Kcm3Hv7LqgaXN7ONjUvdv1CXRnI/z+eKLL5owEijH7M90c/o8n3rqqXnnnXey0047Vc7by9K7d+/K8tL03cWSa1H34dnnoTU1NenXr98C1fHyyy/n4YcfTpLsuOOO6datW63ljE+zpDv66KMzefLkHHbYYXP9lm4M9f2G/fzzzzNq1KgkyTbbbJMOHTrUWc8ee+yRJBk7dmzuv//+edYbo4b5V9b14mpUc62pIcaoYV6Ndb0YlgaSElkqzD6Zatu2bbbYYos6y+24446V5QceeGC+2nj00UcrJ1xz1vNlrVu3zte//vXKa6ZNm1ZrrA3VU1+sU6dOzaOPPppk1kln69atG6xnypQpeeyxx+osB02pMfrw1KlTc8sttyRJ9txzz7Rr1y5JMn369Lz55pt566235kpyWFiz62rRovZDcc+ePZMkH330UT7++OM663nttdfmKg80bM4B0rr64KJWFEWuvfbaJLO+2w444IAmiQOak1VWWSUrrbRSkv87vtVmzkHW2o5/c/7fwtQDS5s5f+s21fGxKfztb3+rLG+wwQZNGAksvNGjR+epp55K0nw+z4888kgGDBiQ1q1bZ8CAAaXX3xx+20NZFnUffvXVV/PQQw8lSXbYYYesvfbaC1TPnMkLdSUaG59mSXf99dfntttuy0orrZQLLrig0duv7zfshAkTKsudO3eut5451993333zrDdGDfOvrOvF1WroWlN9jFHDvBr7ejEs6YzUsFQYPXp0kmTddddNq1at6iw358nb7NfMbxtfrqe+dqZPn56XX3651no6dOiQ1VZbrc46Vl999codNF+O9eWXX8706dPnK5ba6oHmojH68NNPP125q3SbbbbJmDFj0r9//3Ts2DHdu3dPt27d0qFDh+y1116VAdwF9eSTT1YGcerqo0ceeWSSWSeF55xzTq1lLr300owfP36u8kDDZg+ytmrVKuuuu269Zf/9739nk002Sdu2bbP88stn7bXXTt++fXPzzTenKIoFjuHee+/Nm2++mWTWXbGzT2xhafejH/0oSfKf//wnw4cPr7XMWWedlSRp2bJljjjiiHnW77777unevXuS5JJLLsmnn346T5l33nkngwYNSjLruL/xxhvXG9dpp52Wrl27pnXr1llxxRWz2Wab5ac//WleeumlajcNmr05L0KWlQix6667ZuWVV07r1q3TqVOn7LTTTjnvvPPmulDaFCZMmJAnn3wyJ5xwQo455pgksy4IHXXUUU0aFyyIzz77LC+//HJ+//vfp3fv3pWnb/zkJz9p4siSadOm5Yc//GFmzpyZn/3sZ4skyWpRfHdBY2rMPlzGTEhFUeSvf/1rkmT55ZfPgQceWGs549MsySZOnFjpo+eff35WXXXVRd7mzJkzM3bs2Nx9993Zb7/9ct111yVJ1l9//ey+++5zlZ1zFsVJkybVW++c659//vl51hujZkl2ww03ZP31189yyy2XFVZYIeutt14OO+yw3HPPPQtVb1nXi6tRzbWm+hijZnG2qPrworheXNZ1JmPULJaa8NHR0Cg+//zzIkmRpNh7770bLN+2bdsiSfH1r399vtr5+c9/Xmnnscceq7fsBRdcUCl7xx13zLWuc+fORZJio402arDNjTbaqEhSrLbaanP9//Dhwyv1X3DBBfXW8dhjj1XKnnLKKQ22CY2tsfrwoEGDKu2cc845xSqrrFL595f/WrRoUVx88cULuEVFceCBB1bquuGGG+osN+f3yv7771/cdNNNxWOPPVYMGzas+P73v1+0aNGiSFIccsghxfTp0xc4HmgKr7/+euXzfdhhhzVau7fddltV3yndunWr8ztg9t92221XvPPOOwsUx+GHH16p51//+teCbg40mUXVhz/55JNil112KZIUyy67bHHiiScW//u//1s8+uijxZAhQ4odd9yxSFK0bNmyuPTSS+us58EHHyxWWmmlIkmxzjrrFAMHDiweeOCB4p577ikuvPDColOnTkWSonv37sULL7xQax333HNPg98DLVq0KE4//fRi5syZpe0DaAozZswottpqq6rPaetz+umnN9h3OnbsWNx8883zXffs1++4447z/drDDjuszniWW2654vrrr5/vOqGpXHXVVfX2sZNOOqnUY9Oc/ef111+v+nVnn312kaTo0aNH8dlnn9Ua/1VXXbXAcb333nvFCiusUCQpVllllbnagOassfvwbD169Kgc9yZNmrRAddx7772VOA855JA6yxmfZkn2wx/+sEhSbLvttnP11Tl/B99zzz2ltFXf+FS3bt2KUaNG1fq61VdfvXJ8nDJlSp319+nTp1LfNttsU2sZY9QsaRo6X01S7LvvvsXEiRMXqP6yrhdXo9prTXUxRs3iaFH34TKvF5dxnckYNYu7uqebgiXEJ598Ulmu5g6Ptm3b5tNPP83kyZMXWTtz3qn25XZm11NtrPXVsbCxQHPQWH149t2cSXLmmWdmypQp+eY3v5kzzjgjvXr1yqRJk3LTTTfllFNOyccff5wTTjgh66+/fvbcc8/5auemm27KjTfemCTZYost6p0O/7zzzss3vvGNnHvuuRk6dGiGDh061/rNNtssp5xySr7zne/MVwywtBo/fnxlNqSWLVtWZlurTevWrbPPPvtkt912S69evdKhQ4dMnDgxI0eOzIABA/L222/nwQcfzK677pqRI0emQ4cOVcfx2Wef5aabbkqSdO3aNd/4xjcWbsNgCdKuXbsMHz48gwYNynnnnZeLLrooF1100Vxl9t9//5x88snZeuut66xn2223zZNPPpk//vGP+eMf/zjP7Gft2rXLmWeemaOPPjqrrLJKnfWsvvrq2X///bP99tunR48eadWqVd56663ceuutGTx4cKZNm5YzzzwzU6dOrXPWCFgcXHzxxZVHLO6333752te+tlD1bbzxxtl3332z1VZbpUuXLpk2bVpefPHFXHvttbnzzjszceLEHHDAAbn11lvn+/d02fr27Zvzzz8/3bp1a9I4oAybbrppBg4cWO8xsrG88sorld/bl156aZZbbrlS6y+KIkcddVRlzOBXv/pV6W1AY1uUffj++++vPF51v/32qzyBZ35VO9ui8WmWVA888ECuuOKKtGrVKgMHDkxNTU2jx9CqVav8+te/zk9+8pM6+/K3vvWtDBw4MOPGjctFF12UU089dZ4yDzzwQG6//fbKv+fst3MyRs2SZvnll88+++yTnXfeORtssEHatWuXDz/8MPfdd18GDhyYjz76KDfffHO+9a1v5V//+leWWWaZ+aq/sY6B83OtqTbGqFlcLeo+XOb14rKuMxmjZrHW1FmRsKi99dZblSzxfv36NVh+zTXXrMyoMj++//3vV9p59dVX6y175ZVXVsoOHjx4rnWz7yrbYYcdGmxzhx12KJJZM8XM6ZprrqnUf+WVV9Zbx6uvvlop+4Mf/KDBNqGxNVYfPuuss+a6q6RPnz7FjBkz5il3//33V/ppr1695uuuk9GjR1dmcVhuueWK5557rt7y7733XnHIIYcUbdq0qfXOl1atWhX77LNPMXr06PnaVmgOGnumxOnTpxd77LFHpc3TTz+93vITJkyoc93HH39c7LbbbpW6fvrTn85XLNdee61ZIFjsLco+PHLkyOIb3/hGUVNTU+vxr3379sWPf/zjemd3mTlzZnHRRRfVezfqhhtuWAwaNKjOOiZPnlxMnTq1zvWPPPJI0aFDhyJJUVNTUzz55JMLs9nQZO69996iVatWRZKiU6dOxZgxYxaqvvqOoUVRFAMHDqz0wy5duszXzGazX7cgMyW+8847xbPPPls8++yzxYMPPlgMGDCg2HzzzYskxfbbb1+89NJL810nNJUJEyZUPs+PPvpo8be//a3Yb7/9KufCt956a6ntLchMiTvvvHORpPj2t789z7oyZkr87W9/W6mjd+/etZ6/Q3PV2H24KP5vZrcs4ExMRTHraSbt27cvkhRrrLFGvf3O+DRLoilTphQbbrhhkaT42c9+Ns/6RTFT4osvvlg8++yzxdNPP13cfffdxVlnnVV06dKlaN26ddGvX7/ik08+qfV1b7zxRqW/1tTUFMcff3zx0ksvFVOnTi3ef//94k9/+lOxwgorFDU1NZVzgbrG041Rs6Sp75x1zJgxxWabbVb5fF9yySXzXX9Z14vrM7/XmmpjjJrF1aLuw2VeLy7jOpMxahZ3LRpKWoTFXZs2bSrLU6dObbD8lClTkmS+766en3Zmt1FbO7PrWZhYy4oFmoOm6MNJcsEFF6RFi3kPk9tvv33233//JMmoUaMyatSoqup/7733sueee+aTTz5JTU1NrrzyynzlK1+ps/zo0aOz1VZb5dprr03btm1z2WWX5e23387UqVMzZsyYXHPNNenSpUuGDRuWbbbZJvfff/98bC0sfY4++ujccccdSZK99947v/rVr+ot37FjxzrXrbDCCrn++uuz8sorJ0kuv/zyqr6fZptzZolDDz206tfB0uDGG2/MTjvtlLvvvjsbb7xx/vGPf+Sjjz7K1KlT8+qrr+acc87JtGnTMmDAgGy77bYZM2bMPHXMnDkzffv2zYknnpg333wzP/jBD/Kf//wnn3/+eSZPnpwHHngg++yzT0aPHp3DDz88J554Yq2xtG3btt47abfaaqtceumlSWbN1jR7GRYnzz33XPbbb79Mnz49yy67bK6//vp07tx5oeqs7xiaJEceeWSOOOKIJLN+I395ppVFZY011kivXr3Sq1evbLvttjnqqKPy6KOP5sgjj8wDDzyQrbfeOk8//XSjxAILq2PHjpXP85Zbbpnvfve7GTp0aK655pq89tpr+da3vpVBgwY1WXyDBg3KXXfdlfbt2+cPf/hD6fVfe+21ld/z3bt3z3XXXVfr+Ts0V43dh6dMmZIbbrghSdKlS5fssssuC1TPzTffnI8//jhJ8r3vfa/efmd8miXROeeck9GjR2ettdbK6aef3iht9uzZM7169comm2yS3r1755e//GVGjRqVr371qxk8eHC22267Wmc47NatW2644YassMIKKYoif/jDH9KzZ8+0bt06q6++eo499th88sknOe+88yr9dYUVVpinHmPULInqO2ft3LlzbrzxxrRu3TpJ8t///d/zXf+iPgbO77WmuhijZnHVmH04WbjrxWVcZzJGzeLOaA1LvDlPpKqZ+vrTTz9NUt1jYhe0ndlt1NbO7HoWJtayYoHmoCn68Nprr53111+/zrK77757Zfmxxx5rsO7x48dnt912yxtvvJEkueSSS3LQQQfV+5p+/frlnXfeyfLLL5/7778/P/7xj9O1a9css8wy6dy5c/r165eRI0emc+fOmThxYg466KC5TmCB/3Pqqafm8ssvTzLrRPGGG25Iy5YtF6rODh065Lvf/W6SWd87jz/+eFWve//99zNixIgkyZZbbpkNN9xwoeKAJcnYsWNz+OGHZ8qUKdloo43y0EMPZd99981KK62UZZZZJj169Mipp56aW2+9NTU1NXnuuedy3HHHzVPPZZddVrnoesYZZ+SKK67IZpttljZt2qRt27bZbrvtcsstt6Rfv35Jkt///vdzPbJqfvTt27fyWI377rtvAbccmsbrr7+e3XbbLRMmTEjLli3zt7/9LTvuuGOjtH3kkUdWlpuy77Rs2TJ//OMfs+aaa2bChAn58Y9/3GSxQBn69euXb3/725k5c2aOPfbYTJgwodFj+PDDD3PSSSclSc4666x06dKl1Ppvv/329O/fP0VRpHPnzvnXv/6V1VZbrdQ2oKksqj58yy23ZOLEiUmSQw45ZIHPh+cnecH4NEuaF154Ieeee26SWQkOcz5ytbGtuOKKufrqq5MkzzzzTCWuL9ttt93y1FNP5Qc/+EEl4WG2r3/96/nf//3fHHPMMZU+uuKKK85ThzFqlkY9evTIrrvumiR55ZVX8t57783X6xflMXBBrjXVxhg1S7Iy+3DZ14u/bEGvM32ZMWqaM0mJLPHatGmTVVZZJUnyzjvv1Ft2woQJlR+Aa6655ny107Vr18pyQ+28/fbbleUvtzO7nobqmLOeuupY2FigOWisPjxn+Tn7UENlP/jgg3rLfvLJJ9ljjz3y3HPPJZl1Uaa2BIo5Pf3003niiSeSzBosruuEsEuXLpW63n333coscMD/Of/883PeeeclSTbffPPcdtttpc28MOcdqO+++25Vr7n22mszY8aMJO5AhS8bMmRI5Th+2mmn1XmRZ+edd87OO++cJBk6dOg8F2uvvPLKJLMGkE455ZQ62zvnnHMqy1dcccUCxdyqVav07NkzSfXfA9AcvPfee9lll13y3nvvpaamJn/5y1+y3377NVr7C3IMXVRat26dPfbYI0kycuTI+R6shubmW9/6VpJZFzSGDx/e6O1fccUV+eijj9KxY8esvPLKGTJkyDx/jzzySKX8I488Uvn/hs6v77333hx44IGZNm1aVlxxxdx5551Zd911F/UmQaNaFH24jJmQxo4dmzvvvDNJssUWWzQ4I5PxaZY0F198caZOnZoePXrks88+q/X4NucMSXfffXfl/+dMOirLhhtumPXWWy/JrCcO1KVHjx654oor8uGHH+a9997Liy++mEmTJmXkyJHZc88955op/Mv92hg1S7OFOWddVMfABbnWVBdj1CzpFqYPL6rrxXUpY4zMGDXNWaumDgAaw4Ybbpj7778/r7zySqZPn55WrWr/6L/wwgtzvWZ+zHnAmLOe+tpp1arVPIOnX/nKV/LEE09k0qRJGTNmTJ13e7///vuVx2V8OdaePXumZcuWmTFjRtWx1FYPNBeN0Yc32mijyvLsk7G6zLm+rliS5PPPP0+fPn0qd8f87Gc/yy9/+csGYxk9enRlefPNN6+37BZbbFFZfuGFFyqD18Cs2dJmJyRtuOGG+ec//1m5W6wMRVHM92sGDx6cJFlmmWUW6C5WWJLN7/FvxIgRmTlzZl566aVsvfXW89Tzla98Jcsuu2yddXTt2jWdO3fO2LFjG/zNXJ8F+S6ApjRu3Ljsuuuuee2115LMmumlsS9CNLd+s+qqq1aW33zzzdJndoPG9OXPc2ObPTvSxIkT873vfa/B8gMHDszAgQOTJPfcc086depUa7lHH300ffr0yRdffJF27dpl+PDh2WSTTcoLHJqJsvvwBx98kH/+859JZv3G7tWr1wLVM2fywmGHHdZgeePTLGlmH99ee+21qsZzzjrrrMry66+/vkhmVlx11VXz8ssvV/VdUVNTk9VXXz2rr776XP//wAMPVJbnPK9OjFGzdFuYc9ayrhfPaUGvNdXFGDVLuoXpw4vienF9yhoja25jbTCbmRJZKmy//fZJZt1hOvvOrtrMOZ3tdtttN19tbLnllmnduvU89XzZ1KlT8/DDD8/zmi/H2lA99cXaunXrbLXVVklmzfQwderUButZdtll87Wvfa3OctCUGqMPd+vWLWuttVaS5NVXX6237Jzr11hjjVrLTJs2LQcccEAlpqOOOiq/+93vqoplzh+u06dPr7fstGnTan0dLO0GDx6cY489Nsmsu8JHjBhRmXW1LM8//3xluZrkhaeeeirPPPNMkmTvvfee59E5sLQr6/g3+98N1TFnPQt6DJ0+fXpeeumlJNV9D0BTmzRpUnbffffKMey8887LMccc0+hxzO8xdFGb8y5yj41kcbckfp6feeaZ7LHHHpk8eXLatGmTW2+9dZ7ECVhSlN2Hr7vuusrv4oW5CWH2bIvVJi8Yn4ZFb/b3xcJ8V1x33XVJkuWWWy59+vSZa50xapZmC3POWtb14tkW5lpTbYxRszRYmD5c9vXihpQxRmaMmuZMUiJLhX333beyfNVVV9VaZubMmZXBlY4dO6Z3797z1cYKK6xQeYzciBEj6pySe+jQoZUZDmt7PNY+++yTFi1a1BtrkgwaNChJ0qJFi+yzzz7zrJ+9zR9//HGGDh1aax3vvPNORowYkWTWY/BWWGGFOtuDptQYfThJDjjggCSzHknz0EMP1Vluzj61ww47zLN+xowZOfjggyuP2enXr18uu+yyquNYe+21K8v3339/vWXnPKmd83WwNBs6dGj69++foijStWvX3HXXXaWfiE2aNCl///vfkyTLL798VRdO5nxkVjUzS8DSZn6Of//+97+TzJrtoXv37rXWM2rUqEycOLHOOkaNGpXx48fP0/b8GDJkSOW3/Y477rhAdUBj+eyzz7L33nvnP//5T5LkF7/4RX7+8583SSx//vOfK8tN3XfmfDzmcsstl3XWWadJ44GFdcMNN1SWN95440Zv/4wzzkhRFPX+zXlef9VVV1X+f6eddpqnvpdeeim77bZbJkyYkGWWWSY33XRTreVgSVF2H559HtqqVascfPDBC1THs88+W3nE61577VX1DX/Gp1mSDBo0qMHj2+mnn14pf88991T+/8vnrGV47LHHKjMkLuh3xQ033FDp2wcffHA6duw413pj1CytXnvttfzrX/9KMutm9/lNNCrrenGy8NeaamOMmiXdwvbhpLzrxQ1ZkOtMtTFGTbNWwFJihx12KJIUrVq1Kh566KF51v/ud78rkhRJitNPP32e9VdddVW964uiKO66665KmX322aeYPn36XOs//PDDYq211iqSFB07dizGjx9faz39+vWr1HPDDTfMs/7666+vrD/ssMNqreOjjz4qOnToUCQpunXrVowbN26u9dOnTy/69OlTqefuu++utR5oLhqjD7/55ptFmzZtiiTFFltsUUyePHmeMoMHD67Us/fee8+zfubMmUX//v0rZQ444IB5vgsaMmPGjGKNNdYokhQtW7YsRowYUWu5J554omjbtm2RpFh++eWLCRMmzFc70JRef/31Bo9lX1ZNP/7nP/9ZtG7dukhSdOrUqXjhhRfmO7bhw4cXn332WZ3rP/7442K33XarxHLcccc1WOf06dOL1VZbrUhSrLzyysXUqVPnOy5oThZFHx49enRRU1NTJCnWWGON4p133qm1nj//+c+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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "mu=0\n", + "\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixers=mixers,ng=20,nb=10)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixers=mixers)\n", + "\n", + "# plot landscape\n", + "_=getfig(Ecost,ng=20,nb=10)\n", + "# plot landscape\n", + "_=getfig(E,ng=20,nb=10)\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1037b7e7", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "f7876a2b", + "metadata": {}, + "outputs": [], + "source": [ + "FR = np.array([[1,1, 0],\n", + " [1,0, 1]])\n", + "CR=np.array([2,1,2])\n", + "# CR=np.random.rand(4)\n", + "\n", + "# Normalize weights\n", + "CR = CR/np.max(CR)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "1d626808", + "metadata": {}, + "outputs": [], + "source": [ + "sv=1./np.sqrt(3)*(eez+eze+zze).flatten()\n", + "mixers=[Mixer('001<->110', np.array((2,1,0))), Mixer('01<->10', np.array((1,0))), Mixer('0<->1', np.array((2)))]" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "5ea46990", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.8333333333333328\n" + ] + }, + { + "data": { + "text/html": [ + "
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+       "q_0: ┤0                                               ├─░──░─┤ Rz(0) ├─░──░─»\n",
+       "     │                                                │ ░  ░ ├───────┤ ░  ░ »\n",
+       "q_1: ┤1 Initialize(0,0.57735,0,0,0,0.57735,0.57735,0) ├─░──░─┤ Rz(0) ├─░──░─»\n",
+       "     │                                                │ ░  ░ ├───────┤ ░  ░ »\n",
+       "q_2: ┤2                                               ├─░──░─┤ Rz(0) ├─░──░─»\n",
+       "     └────────────────────────────────────────────────┘ ░  ░ └───────┘ ░  ░ »\n",
+       "«     ┌───┐     ┌───┐┌─────────┐┌───┐┌───┐      ░ ┌───┐┌───┐     ┌───┐»\n",
+       "«q_0: ┤ H ├─────┤ X ├┤ Rz(π/4) ├┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────┤ X ├»\n",
+       "«     ├───┤┌───┐└─┬─┘└─────────┘└─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐└─┬─┘»\n",
+       "«q_1: ┤ H ├┤ X ├──■───────────────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├──■──»\n",
+       "«     ├───┤└─┬─┘                     └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘     »\n",
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+       "«     └───┘                               └───┘ ░ └───┘               »\n",
+       "«     ┌─────────┐┌───┐┌───┐┌─────┐        ░ ┌───┐┌───┐     ┌───┐┌─────────┐»\n",
+       "«q_0: ┤ Rz(π/4) ├┤ X ├┤ H ├┤ Sdg ├────────░─┤ S ├┤ H ├─────┤ X ├┤ Rz(π/4) ├»\n",
+       "«     └─────────┘└─┬─┘├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐└─┬─┘└─────────┘»\n",
+       "«q_1: ─────────────■──┤ X ├─┤ H ├─┤ Sdg ├─░─┤ H ├─────┤ X ├──■─────────────»\n",
+       "«                     └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘                »\n",
+       "«q_2: ──────────────────■───┤ H ├─────────░─┤ S ├┤ H ├──■──────────────────»\n",
+       "«                           └───┘         ░ └───┘└───┘                     »\n",
+       "«     ┌───┐┌───┐┌─────┐        ░ ┌───┐          ┌───┐┌──────────┐┌───┐┌───┐»\n",
+       "«q_0: ┤ X ├┤ H ├┤ Sdg ├────────░─┤ H ├──────────┤ X ├┤ Rz(-π/4) ├┤ X ├┤ H ├»\n",
+       "«     └─┬─┘├───┤└┬───┬┘        ░ ├───┤┌───┐┌───┐└─┬─┘└──────────┘└─┬─┘├───┤»\n",
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+       "«          └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘                      └─┬─┘»\n",
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+       "«                └───┘ └─────┘ ░ └───┘└───┘                                »\n",
+       "«                  ░ ┌───┐┌───┐┌─────────┐┌───┐┌───┐ ░ ┌───┐┌───┐┌───┐»\n",
+       "«q_0: ─────────────░─┤ H ├┤ X ├┤ Rz(π/2) ├┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├»\n",
+       "«     ┌───┐┌─────┐ ░ ├───┤└─┬─┘└─────────┘└─┬─┘├───┤ ░ ├───┤├───┤└─┬─┘»\n",
+       "«q_1: ┤ H ├┤ Sdg ├─░─┤ H ├──■───────────────■──┤ H ├─░─┤ S ├┤ H ├──■──»\n",
+       "«     ├───┤├─────┤ ░ └───┘                     └───┘ ░ └───┘└───┘     »\n",
+       "«q_2: ┤ H ├┤ Sdg ├─░─────────────────────────────────░────────────────»\n",
+       "«     └───┘└─────┘ ░                                 ░                »\n",
+       "«     ┌─────────┐┌───┐┌───┐┌─────┐ ░           ░  ░ \n",
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+       "«     └─────────┘└─┬─┘├───┤├─────┤ ░           ░  ░ \n",
+       "«q_1: ─────────────■──┤ H ├┤ Sdg ├─░───────────░──░─\n",
+       "«                     └───┘└─────┘ ░ ┌───────┐ ░  ░ \n",
+       "«q_2: ─────────────────────────────░─┤ Rx(π) ├─░──░─\n",
+       "«                                  ░ └───────┘ ░  ░
" + ], + "text/plain": [ + " ┌────────────────────────────────────────────────┐ ░ ░ ┌───────┐ ░ ░ »\n", + "q_0: ┤0 ├─░──░─┤ Rz(0) ├─░──░─»\n", + " │ │ ░ ░ ├───────┤ ░ ░ »\n", + "q_1: ┤1 Initialize(0,0.57735,0,0,0,0.57735,0.57735,0) ├─░──░─┤ Rz(0) ├─░──░─»\n", + " │ │ ░ ░ ├───────┤ ░ ░ »\n", + "q_2: ┤2 ├─░──░─┤ Rz(0) ├─░──░─»\n", + " └────────────────────────────────────────────────┘ ░ ░ └───────┘ ░ ░ »\n", + "« ┌───┐ ┌───┐┌─────────┐┌───┐┌───┐ ░ ┌───┐┌───┐ ┌───┐»\n", + "«q_0: ┤ H ├─────┤ X ├┤ Rz(π/4) ├┤ X ├┤ H ├──────░─┤ S ├┤ H ├─────┤ X ├»\n", + "« ├───┤┌───┐└─┬─┘└─────────┘└─┬─┘├───┤┌───┐ ░ ├───┤├───┤┌───┐└─┬─┘»\n", + "«q_1: ┤ H ├┤ X ├──■───────────────■──┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├──■──»\n", + "« ├───┤└─┬─┘ └─┬─┘├───┤ ░ ├───┤└───┘└─┬─┘ »\n", + "«q_2: ┤ H ├──■─────────────────────────■──┤ H ├─░─┤ H ├───────■───────»\n", + "« └───┘ └───┘ ░ └───┘ »\n", + "« ┌─────────┐┌───┐┌───┐┌─────┐ ░ ┌───┐┌───┐ ┌───┐┌─────────┐»\n", + "«q_0: ┤ Rz(π/4) ├┤ X ├┤ H ├┤ Sdg ├────────░─┤ S ├┤ H ├─────┤ X ├┤ Rz(π/4) ├»\n", + "« └─────────┘└─┬─┘├───┤└┬───┬┘┌─────┐ ░ ├───┤└───┘┌───┐└─┬─┘└─────────┘»\n", + "«q_1: ─────────────■──┤ X ├─┤ H ├─┤ Sdg ├─░─┤ H ├─────┤ X ├──■─────────────»\n", + "« └─┬─┘ ├───┤ └─────┘ ░ ├───┤┌───┐└─┬─┘ »\n", + "«q_2: ──────────────────■───┤ H ├─────────░─┤ S ├┤ H ├──■──────────────────»\n", + "« └───┘ ░ └───┘└───┘ »\n", + "« ┌───┐┌───┐┌─────┐ ░ ┌───┐ ┌───┐┌──────────┐┌───┐┌───┐»\n", + "«q_0: ┤ X ├┤ H ├┤ Sdg ├────────░─┤ H ├──────────┤ X ├┤ Rz(-π/4) ├┤ X ├┤ H ├»\n", + "« └─┬─┘├───┤└┬───┬┘ ░ ├───┤┌───┐┌───┐└─┬─┘└──────────┘└─┬─┘├───┤»\n", + "«q_1: ──■──┤ X ├─┤ H ├─────────░─┤ S ├┤ H ├┤ X ├──■────────────────■──┤ X ├»\n", + "« └─┬─┘ ├───┤ ┌─────┐ ░ ├───┤├───┤└─┬─┘ └─┬─┘»\n", + "«q_2: ───────■───┤ H ├─┤ Sdg ├─░─┤ S ├┤ H ├──■──────────────────────────■──»\n", + "« └───┘ └─────┘ ░ └───┘└───┘ »\n", + "« ░ ┌───┐┌───┐┌─────────┐┌───┐┌───┐ ░ ┌───┐┌───┐┌───┐»\n", + "«q_0: ─────────────░─┤ H ├┤ X ├┤ Rz(π/2) ├┤ X ├┤ H ├─░─┤ S ├┤ H ├┤ X ├»\n", + "« ┌───┐┌─────┐ ░ ├───┤└─┬─┘└─────────┘└─┬─┘├───┤ ░ ├───┤├───┤└─┬─┘»\n", + "«q_1: ┤ H ├┤ Sdg ├─░─┤ H ├──■───────────────■──┤ H ├─░─┤ S ├┤ H ├──■──»\n", + "« ├───┤├─────┤ ░ └───┘ └───┘ ░ └───┘└───┘ »\n", + "«q_2: ┤ H ├┤ Sdg ├─░─────────────────────────────────░────────────────»\n", + "« └───┘└─────┘ ░ ░ »\n", + "« ┌─────────┐┌───┐┌───┐┌─────┐ ░ ░ ░ \n", + "«q_0: ┤ Rz(π/2) ├┤ X ├┤ H ├┤ Sdg ├─░───────────░──░─\n", + "« └─────────┘└─┬─┘├───┤├─────┤ ░ ░ ░ \n", + "«q_1: ─────────────■──┤ H ├┤ Sdg ├─░───────────░──░─\n", + "« └───┘└─────┘ ░ ┌───────┐ ░ ░ \n", + "«q_2: ─────────────────────────────░─┤ Rx(π) ├─░──░─\n", + "« ░ └───────┘ ░ ░ " + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "val, qc, job = qaoa.evaluate(np.array((0,1*np.pi/2)), backend, mu=0, useExco=[False],sv=sv,mixers=mixers,barrier=True)\n", + "\n", + "print(val)\n", + "\n", + "# plot histogram\n", + "md=job.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])\n", + "\n", + "\n", + "qc.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "47ca3933", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.480839\n", + " Iterations: 11\n", + " Function evaluations: 22\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "mu=0\n", + "\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixers=mixers,ng=20,nb=10)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixers=mixers)\n", + "\n", + "# plot landscape\n", + "_=getfig(Ecost,ng=20,nb=10)\n", + "# plot landscape\n", + "_=getfig(E,ng=20,nb=10)\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "611f4923", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "31e99a52", + "metadata": {}, + "outputs": [], + "source": [ + "sv=1./np.sqrt(3)*(eez+zze+eze).flatten()\n", + "mixers=[Mixer('001<->110', np.array((2,1,0))), Mixer('01<->10', np.array((1,0)))]" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "059e5ffa", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.870762\n", + " Iterations: 14\n", + " Function evaluations: 27\n" + ] + }, + { + "data": { + "text/plain": [ + "(0.0, 1.0)" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qaoa=QAOAChoose(CR, FR)\n", + "\n", + "mu=0\n", + "\n", + "E, Ecost, Eexco, x0, job, ji = qaoa.getElandscape(backend,mu,useExco=[False],sv=sv,mixers=mixers,ng=10,nb=5)\n", + "out, job_b, xb = qaoa.getlocalmin(x0, backend, mu,useExco=[False],sv=sv, mixers=mixers)\n", + "\n", + "# plot landscape\n", + "_=getfig(Ecost,ng=10,nb=5)\n", + "# plot landscape\n", + "_=getfig(E,ng=10,nb=5)\n", + "pl.plot(x0[0],x0[1],'ro')\n", + "pl.plot(xb[0],xb[1],'wx')\n", + "\n", + "# plot histogram\n", + "md=job_b.result().get_counts()\n", + "pl.figure()\n", + "pl.bar([k[::-1] for k in md.keys()], md.values())\n", + "pl.ylim([0,1])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "32d6d69d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2f3fa5df", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c0955c4a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2d82e403", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e6d2c23b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0306f040", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cdce338a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "943b4b53", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c74924ec", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "17ea95a2", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "91603f86", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "178d2fb5", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "170948bf", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "01d91572", "metadata": {}, "outputs": [], "source": [] @@ -354,7 +1224,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/newbeginning.py b/newbeginning.py index 1d1446a..ed2c19d 100644 --- a/newbeginning.py +++ b/newbeginning.py @@ -4,12 +4,20 @@ from qiskit import * from scipy.optimize import minimize +class Mixer: + + def __init__(self, string, indices): + self.string=string + self.indices=indices + class QAOAbase: + def __init__(self, CR, FR): self.CR=CR self.FR=FR self.F, self.R = np.shape(self.FR) + self.mixer = [Mixer('0<->1', np.array(range(self.R)))] def createCircuit(self): raise NotImplementedError @@ -103,25 +111,96 @@ def measurementStatistics(self, job, nb=None, ng=None, nd=None, mu=1, usestateve Eexco[i,j,l] = ex @ probs return E, Ecost, Eexco + def apply_RXXX(self, qc, beta, indices): + qc.h(indices) + qc.cx(indices[0],indices[1]) + qc.cx(indices[1],indices[2]) + qc.rz(2*beta, indices[2]) + qc.cx(indices[1],indices[2]) + qc.cx(indices[0],indices[1]) + qc.h(indices) + return qc + + def apply_RXYY(self, qc, beta, indices): + qc.s(indices[2]) + qc.s(indices[1]) + qc.h(indices) + qc.cx(indices[0],indices[1]) + qc.cx(indices[1],indices[2]) + qc.rz(2*beta, indices[2]) + qc.cx(indices[1],indices[2]) + qc.cx(indices[0],indices[1]) + qc.h(indices) + qc.sdg(indices[2]) + qc.sdg(indices[1]) + return qc + + def apply_RYXY(self, qc, beta, indices): + qc.s(indices[2]) + qc.s(indices[0]) + qc.h(indices) + qc.cx(indices[0],indices[1]) + qc.cx(indices[1],indices[2]) + qc.rz(2*beta, indices[2]) + qc.cx(indices[1],indices[2]) + qc.cx(indices[0],indices[1]) + qc.h(indices) + qc.sdg(indices[2]) + qc.sdg(indices[0]) + return qc - def mix_statesX(self, qc, beta): - qc.rx( - 2*beta, range(qc.num_qubits)) + def apply_RYYX(self, qc, beta, indices): + qc.s(indices[1]) + qc.s(indices[0]) + qc.h(indices) + qc.cx(indices[0],indices[1]) + qc.cx(indices[1],indices[2]) + qc.rz(2*beta, indices[2]) + qc.cx(indices[1],indices[2]) + qc.cx(indices[0],indices[1]) + qc.h(indices) + qc.sdg(indices[1]) + qc.sdg(indices[0]) return qc - def mix_statesY(self, qc, beta): - qc.ry( - 2*beta, range(qc.num_qubits)) + def apply_RXX(self, qc, beta, indices): + qc.h(indices) + qc.cx(indices[0],indices[1]) + qc.rz(2*beta, indices[1]) + qc.cx(indices[0],indices[1]) + qc.h(indices) return qc - def mix_states(self, qc, beta, binstring): - if binstring=='0<->1_ind2': - qc.rx( - 2*beta, 2) - elif binstring=='01<->10_ind01': - qc.rxx(-beta, 1, 0) - qc.ryy(-beta, 1, 0) - elif binstring=='01<->10_ind12': - qc.rxx(-beta, 1, 2) - qc.ryy(-beta, 1, 2) - elif binstring=='001<->110': + def apply_RYY(self, qc, beta, indices): + qc.s(indices) + qc.h(indices) + qc.cx(indices[0],indices[1]) + qc.rz(2*beta, indices[1]) + qc.cx(indices[0],indices[1]) + qc.h(indices) + qc.sdg(indices) + return qc + + + + def apply_mixer(self, qc, beta, mixer, barrier=False): + if mixer.string=='X' or mixer.string=='0<->1': + qc.rx(2*beta, mixer.indices) + elif mixer.string=='Y': + qc.ry(2*beta, mixer.indices) + elif mixer.string=='01<->10': + qc = self.apply_RXX(qc,beta/2, mixer.indices) + if barrier: + qc.barrier() + qc = self.apply_RYY(qc,beta/2, mixer.indices) + if barrier: + qc.barrier() + qc.rz(beta,2) + #qc.u1(beta/2,2) + + #qc.rxx(-beta, mixer.indices[0], mixer.indices[1]) + #qc.ryy(-beta, mixer.indices[0], mixer.indices[1]) + elif mixer.string=='001<->110': #A=np.array([[0., 0., 0., 0., 0., 0., 0., 0.], # [0., 0., 0., 0., 0., 0., 1., 0.], # [0., 0., 0., 0., 0., 0., 0., 0.], @@ -134,68 +213,30 @@ def mix_states(self, qc, beta, binstring): #U = np.exp(-1j*beta*A) #print(U) #qc.unitary(U, range(3), 'A('+"{:.2f}".format(beta)+")") - qc.barrier() + if barrier: + qc.barrier() # XXX - for j in range(3): - qc.h(j) - qc.cx(2,1) - qc.cx(1,0) - qc.rz(-beta/2, 0) - qc.cx(1,0) - qc.cx(2,1) - for j in range(3): - qc.h(j) + qc = self.apply_RXXX(qc, beta/4, mixer.indices) - qc.barrier() + if barrier: + qc.barrier() # XYY - qc.s(0) - qc.s(1) - for j in range(3): - qc.h(j) - qc.cx(2,1) - qc.cx(1,0) - qc.rz(-beta/2, 0) - qc.cx(1,0) - qc.cx(2,1) - for j in range(3): - qc.h(j) - qc.sdg(0) - qc.sdg(1) + qc = self.apply_RXYY(qc, beta/4, mixer.indices) - qc.barrier() + if barrier: + qc.barrier() # YXY - qc.s(0) - qc.s(2) - for j in range(3): - qc.h(j) - qc.cx(2,1) - qc.cx(1,0) - qc.rz(-beta/2, 0) - qc.cx(1,0) - qc.cx(2,1) - for j in range(3): - qc.h(j) - qc.sdg(0) - qc.sdg(2) + qc = self.apply_RYXY(qc, beta/4, mixer.indices) - qc.barrier() + if barrier: + qc.barrier() # -YYX - qc.s(1) - qc.s(2) - for j in range(3): - qc.h(j) - qc.cx(2,1) - qc.cx(1,0) - qc.rz(+beta/2, 0) - qc.cx(1,0) - qc.cx(2,1) - for j in range(3): - qc.h(j) - qc.sdg(1) - qc.sdg(2) - qc.barrier() + qc = self.apply_RYYX(qc, -beta/4, mixer.indices) else: raise NotImplementedError + + if barrier: + qc.barrier() return qc @@ -245,7 +286,7 @@ def apply_cost(self, qc, gamma): qc.rz( 2*gamma * hr, r) return qc - def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np.pi,delta_max=2*np.pi,ng=40,nb=20,nd=40, barrier=False, sv=None, mixerbinstrings=None): + def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np.pi,delta_max=2*np.pi,ng=40,nb=20,nd=40, barrier=False, sv=None, mixers=None): depth=1 circuits=[] if self.num_params==2: @@ -253,16 +294,16 @@ def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np. for gamma in np.linspace(0,gamma_max,ng,endpoint=False): if useExco is not None: - qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv, mixerbinstrings=mixerbinstrings) + qc=self.createCircuit(np.array((gamma,beta)), useExco, barrier=barrier, sv=sv, mixers=mixers) else: - qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv, mixerbinstrings=mixerbinstrings) + qc=self.createCircuit(np.array((gamma,beta)), mu, depth, barrier=barrier, sv=sv, mixers=mixers) circuits.append(qc) else: for delta in np.linspace(0,delta_max,nd,endpoint=False): for beta in np.linspace(0,beta_max,nb,endpoint=False): for gamma in np.linspace(0,gamma_max,ng,endpoint=False): - qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv, mixerbinstrings=mixerbinstrings) + qc=self.createCircuit(np.array((gamma,beta,delta)), mu, depth, barrier=barrier, sv=sv, mixers=mixers) circuits.append(qc) @@ -290,19 +331,35 @@ def getElandscape(self, backend, mu,useExco=None, gamma_max=2*np.pi,beta_max=np. return E, Ecost, Eexco, x0, job, index + + def evaluate(self, x, backend, mu, useExco=None, depth=1, barrier=False, sv=None, mixers=None): + + if useExco is not None: + qc = self.createCircuit(x, useExco, sv=sv, mixers=mixers, barrier=barrier) + else: + qc = self.createCircuit(x, mu, depth, sv=sv, mixers=mixers, barrier=barrier) + + job = execute(qc, backend) + + val, _, _ = self.measurementStatistics(job, mu=mu) + + return val, qc, job + + global g_it global g_jobs global g_values global g_x - def getval(self, x, backend, mu, useExco, depth, sv, mixerbinstrings): + + def getval(self, x, backend, mu, useExco, depth, sv, mixers): global g_it, g_jobs, g_values, g_x g_it+=1 if useExco is not None: - qc = self.createCircuit(x, useExco, sv=sv, mixerbinstrings=mixerbinstrings) + qc = self.createCircuit(x, useExco, sv=sv, mixers=mixers) else: - qc = self.createCircuit(x, mu, depth, sv=sv, mixerbinstrings=mixerbinstrings) + qc = self.createCircuit(x, mu, depth, sv=sv, mixers=mixers) job = execute(qc, backend) @@ -313,7 +370,7 @@ def getval(self, x, backend, mu, useExco, depth, sv, mixerbinstrings): g_x[str(g_it)] = x return val - def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv=None, mixerbinstrings=None, method="Nelder-Mead"): + def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv=None, mixers=None, method="Nelder-Mead"): global g_it, g_jobs, g_values, g_x g_it=0 @@ -321,7 +378,7 @@ def getlocalmin(self, x0, backend, mu, useExco=None, depth=1, barrier=False, sv= g_values={} g_x={} - out = minimize(self.getval, x0=x0, method=method, args=(backend, mu, useExco, depth, sv, mixerbinstrings), options={'xatol': 1e-2, 'fatol': 1e-1, 'disp': True})#, constraints=cons) + out = minimize(self.getval, x0=x0, method=method, args=(backend, mu, useExco, depth, sv, mixers), options={'xatol': 1e-2, 'fatol': 1e-1, 'disp': True})#, constraints=cons) ind = min(g_values, key=g_values.get) return out, g_jobs[ind], g_x[ind] @@ -461,7 +518,9 @@ class QAOAChoose(QAOAbase): #def __init__(self, CR, FR): # super().__init__(CR, FR) - def createCircuit(self, x,useExco,barrier=False,sv=None, mixerbinstrings=None): + def createCircuit(self, x,useExco,barrier=False,sv=None, mixers=None): + if mixers is None: + mixers=self.mixer gamma=x[::2] beta=x[1::2] qc = QuantumCircuit(self.R) @@ -473,33 +532,30 @@ def createCircuit(self, x,useExco,barrier=False,sv=None, mixerbinstrings=None): qc.barrier() i=-1 for ue in useExco: + if barrier: + qc.barrier() i+=1 if ue: qc = self.apply_exco(qc, gamma[i]) - qc = self.mix_statesX(qc, beta[i]) else: qc = self.apply_cost(qc, gamma[i]) - if mixerbinstrings is None: - qc = self.mix_statesX(qc, beta[i]) - else: - for bs in mixerbinstrings: - qc = self.mix_states(qc, beta[i], bs) - qc.barrier() - #qc = self.mix_states(qc, beta[i], '01<->10_ind01') - #qc.rx( - 2*beta[i], 2) - if barrier: qc.barrier() + + for m in mixers: + qc = self.apply_mixer(qc, beta[i], m, barrier=barrier) + if barrier: qc.barrier() - qc.barrier() return qc class QAOANor(QAOAbase): num_params=3 - def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstrings=None): + def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixers=None): + if mixers is None: + mixers=self.mixer gamma=x[::3] beta=x[1::3] delta=x[2::3] @@ -513,20 +569,26 @@ def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstrings=None): i=-1 for d in range(depth): i+=1 + qc = self.apply_exco(qc, gamma[i]) - qc = self.mix_statesX(qc, beta[i]) + for m in mixers: + qc = self.apply_mixer(qc, beta[i], m, barrier=barrier) + qc = self.apply_cost(qc, delta[i]) - qc = self.mix_statesX(qc, beta[i]) + for m in mixers: + qc = self.apply_mixer(qc, beta[i], m, barrier=barrier) + if barrier: qc.barrier() - qc.barrier() return qc class QAOASwe(QAOAbase): num_params=2 - def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstrings=None): + def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixers=None): + if mixers is None: + mixers=self.mixer gamma=x[::2] beta=x[1::2] qc = QuantumCircuit(self.R) @@ -540,13 +602,14 @@ def createCircuit(self, x,mu,depth,barrier=False,sv=None, mixerbinstrings=None): for d in range(depth): i+=1 qc = self.apply_exco(qc, mu*gamma[i]) - qc = self.apply_cost(qc, gamma[i]) if barrier: qc.barrier() - qc = self.mix_statesX(qc, beta[i]) + qc = self.apply_cost(qc, gamma[i]) + for m in mixers: + qc = self.apply_mixer(qc, beta[i], m, barrier=barrier) + if barrier: qc.barrier() - qc.barrier() return qc