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Author: Pankajcoder1

Cp_algorithm/Sieve_of_Eratosthenes_Having_linear_Time_Complexity.cpp

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+/*
+    written by Pankaj Kumar.
+    country:-INDIA
+*/
+#include <bits/stdc++.h>
+#include <ext/pb_ds/assoc_container.hpp>
+#include <ext/pb_ds/tree_policy.hpp>
+using namespace std;
+using namespace __gnu_pbds;
+typedef long long ll ;
+typedef vector<ll> vl;
+#define speed cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(0);
+// define values.
+// #define mod 1000000007
+#define phi 1.618
+/*  Abbrevations  */
+#define ff first
+#define ss second
+#define mp make_pair
+#define line cout<<endl;
+#define pb push_back
+#define Endl "\n"
+// loops
+#define forin(arr,n) for(ll i=0;i<n;i++) cin>>arr[i];
+// Some print
+#define no cout<<"NO"<<endl;
+#define yes cout<<"YES"<<endl;
+// sort
+#define all(V) (V).begin(),(V).end()
+#define srt(V) sort(all(V))
+#define srtGreat(V) sort(all(V),greater<ll>())
+#define printv(v) for(ll i=0;i<ll(v.size());i++){cout<<v[i]<<" ";} line;
+// some extra
+#define sz(V) ll(V.size())
+/* ONLINE JUDGE */
+// #ifdef ONLINE_JUDGE
+//     freopen("input.txt", "r", stdin);freopen("output.txt", "w", stdout);
+// #endif
+// template
+template <typename T>
+T mymax(T x,T y)
+{
+    return (x>y)?x:y;
+}
+// function
+
+ll power(ll x,ll y,ll mod)
+{
+    ll res=1;
+    // x=x%mod;
+    while(y>0)
+    {
+        if(y%2==1)
+        {
+            res*=x;
+            // res=res%mod;
+        }
+        y/=2; x*=x; // x=x%mod;
+    }
+    return res;
+}
+ll str_to_num(string s)
+{
+    return stoi(s);
+}
+
+string num_to_str(ll num)
+{
+    return to_string(num);
+}
+// datatype definination
+#define ordered_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
+
+/* ascii value 
+A=65,Z=90,a=97,z=122
+*/
+/*  -----------------------------------------------------------------------------------*/
+
+ll solve()
+{
+    ll n;
+    cin>>n;
+    vl v(n+1.0);
+    vl prime;
+    for(ll i=2;i<=n;i++)
+    {
+        if(v[i]==0)
+        {
+            v[i]=i;
+            prime.pb(i);
+        }
+        for(ll j=0;j<sz(prime)&&prime[j]<=v[i]&&(i*prime[j])<=n;j++)
+        {
+            v[i*prime[j]]=prime[j];
+        }
+    }
+    for(ll i=2;i<=n;i++)
+    {
+        if(v[i]==i)
+        {
+            cout<<i<<" ";
+        }
+    }
+    line;
+    return 0;
+}
+
+int main()
+{
+    speed;
+    // freopen("input.txt","r",stdin);
+    // freopen("output.txt","w",stdout);
+    ll TestCase=1;
+    // cin>>TestCase;
+    while(TestCase--)
+    {
+        solve();
+    }
+}
+
+/* stuff you should look before submission 
+* int overflow
+* special test case (n=0||n=1||n=2)
+* don't get stuck on one approach if you get wrong answer
+*/