notebook/agentchat_groupchat_finite_state_machine.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# FSM - User can input speaker transition constraints\n",
    "\n",
    "AutoGen offers conversable agents powered by LLM, tool, or human, which can be used to perform tasks collectively via automated chat. This framework allows tool use and human participation through multi-agent conversation.\n",
    "Please find documentation about this feature [here](https://docs.ag2.ai/docs/Use-Cases/agent_chat).\n",
    "\n",
    "This notebook is about using graphs to define the transition paths amongst speakers.\n",
    "\n",
    "Benefits\n",
    "- This contribution fills the gap between the current modes of GroupChat Class (auto, manual, round_robin) and an expressive directed graph. See Motivation for more detailed discussion.\n",
    "\n",
    "\n",
    "````{=mdx}\n",
    ":::info Requirements\n",
    "Install `pyautogen`:\n",
    "```bash\n",
    "pip install pyautogen\n",
    "```\n",
    "\n",
    "For more information, please refer to the [installation guide](/docs/installation/Installation).\n",
    ":::\n",
    "````"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture --no-stderr\n",
    "%pip install pyautogen[graph]>=0.2.11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random  # noqa E402\n",
    "\n",
    "import matplotlib.pyplot as plt  # noqa E402\n",
    "import networkx as nx  # noqa E402\n",
    "\n",
    "import autogen  # noqa E402\n",
    "from autogen.agentchat.conversable_agent import ConversableAgent  # noqa E402\n",
    "from autogen.agentchat.assistant_agent import AssistantAgent  # noqa E402\n",
    "from autogen.agentchat.groupchat import GroupChat  # noqa E402\n",
    "from autogen.graph_utils import visualize_speaker_transitions_dict  # noqa E402"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2.25\n"
     ]
    }
   ],
   "source": [
    "print(autogen.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Motivation\n",
    "\n",
    "\n",
    "The current GroupChat class allows transitioning to any agent (with or without the decision of the LLM), some use cases might demand for more control over transition. A graph is a possible way to control the transition paths, where each node represents an agent and each directed edge represents possible transition paths. Let's illustrate the current transition paths for a GroupChat with five agents."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "config_list_gpt4 = {\n",
    "    \"timeout\": 600,\n",
    "    \"cache_seed\": 44,  # change the seed for different trials\n",
    "    \"config_list\": autogen.config_list_from_json(\n",
    "        \"OAI_CONFIG_LIST\",\n",
    "        filter_dict={\"tags\": [\"gpt-4\", \"gpt-4-32k\"]},  # comment out to get all\n",
    "    ),\n",
    "    \"temperature\": 0,\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agents = [ConversableAgent(name=f\"Agent{i}\", llm_config=False) for i in range(5)]\n",
    "allowed_speaker_transitions_dict = {agent: [other_agent for other_agent in agents] for agent in agents}\n",
    "\n",
    "visualize_speaker_transitions_dict(allowed_speaker_transitions_dict, agents)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Possibly interesting transition paths\n",
    "1. Hub and Spoke\n",
    "2. Sequential Team Operations\n",
    "3. Think aloud and debate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agents = [ConversableAgent(name=f\"Agent{i}\", llm_config=False) for i in range(5)]\n",
    "allowed_speaker_transitions_dict = {\n",
    "    agents[0]: [agents[1], agents[2], agents[3], agents[4]],\n",
    "    agents[1]: [agents[0]],\n",
    "    agents[2]: [agents[0]],\n",
    "    agents[3]: [agents[0]],\n",
    "    agents[4]: [agents[0]],\n",
    "}\n",
    "\n",
    "visualize_speaker_transitions_dict(allowed_speaker_transitions_dict, agents)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<autogen.agentchat.conversable_agent.ConversableAgent object at 0x7f605e116260>\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sequential Team Operations\n",
    "# Create an empty directed graph\n",
    "\n",
    "speaker_transitions_dict = {}\n",
    "teams = [\"A\", \"B\", \"C\"]\n",
    "team_size = 5\n",
    "\n",
    "\n",
    "def get_agent_of_name(agents, name) -> ConversableAgent:\n",
    "    for agent in agents:\n",
    "        if agent.name == name:\n",
    "            return agent\n",
    "\n",
    "\n",
    "# Create a list of 15 agents 3 teams x 5 agents\n",
    "agents = [ConversableAgent(name=f\"{team}{i}\", llm_config=False) for team in teams for i in range(team_size)]\n",
    "\n",
    "# Loop through each team and add members and their connections\n",
    "for team in teams:\n",
    "    for i in range(team_size):\n",
    "        member = f\"{team}{i}\"\n",
    "        # Connect each member to other members of the same team\n",
    "        speaker_transitions_dict[get_agent_of_name(agents, member)] = [\n",
    "            get_agent_of_name(agents, name=f\"{team}{j}\") for j in range(team_size) if j != i\n",
    "        ]\n",
    "\n",
    "# Team leaders connection\n",
    "print(get_agent_of_name(agents, name=\"B0\"))\n",
    "speaker_transitions_dict[get_agent_of_name(agents, \"A0\")].append(get_agent_of_name(agents, name=\"B0\"))\n",
    "speaker_transitions_dict[get_agent_of_name(agents, \"B0\")].append(get_agent_of_name(agents, name=\"C0\"))\n",
    "\n",
    "visualize_speaker_transitions_dict(speaker_transitions_dict, agents)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agents = [ConversableAgent(name=f\"Agent{i}\", llm_config=False) for i in range(2)]\n",
    "allowed_speaker_transitions_dict = {\n",
    "    agents[0]: [agents[0], agents[1]],\n",
    "    agents[1]: [agents[0], agents[1]],\n",
    "}\n",
    "\n",
    "visualize_speaker_transitions_dict(allowed_speaker_transitions_dict, agents)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Demonstration"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`GroupChat` now takes in two optional arguments.\n",
    "- allowed_or_disallowed_speaker_transitions: The keys are source agents, and the values are agents that the key agent can/can't transit to, depending on speaker_transitions_type. Default is None, which means all agents can transit to all other agents.\n",
    "- speaker_transitions_type: whether the speaker_transitions_type is a dictionary containing lists of allowed agents or disallowed agents. \"allowed\" means the `allowed_or_disallowed_speaker_transitions` is a dictionary containing lists of allowed agents."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Team Operations\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create an empty directed graph\n",
    "agents = []\n",
    "speaker_transitions_dict = {}\n",
    "secret_values = {}\n",
    "\n",
    "# Outer loop for prefixes 'A', 'B', 'C'\n",
    "for prefix in [\"A\", \"B\", \"C\"]:\n",
    "    # Add 3 nodes with each prefix to the graph using a for loop\n",
    "    for i in range(3):\n",
    "        node_id = f\"{prefix}{i}\"\n",
    "        secret_value = random.randint(1, 5)  # Generate a random secret value\n",
    "        secret_values[node_id] = secret_value\n",
    "\n",
    "        # Create an AssistantAgent for each node (assuming AssistantAgent is a defined class)\n",
    "        agents.append(\n",
    "            AssistantAgent(\n",
    "                name=node_id,\n",
    "                system_message=f\"\"\"Your name is {node_id}.\n",
    "                                          Do not respond as the speaker named in the NEXT tag if your name is not in the NEXT tag. Instead, suggest a relevant team leader to handle the mis-tag, with the NEXT: tag.\n",
    "\n",
    "                                          You have {secret_value} chocolates.\n",
    "\n",
    "                                          The list of players are [A0, A1, A2, B0, B1, B2, C0, C1, C2].\n",
    "\n",
    "                                            Your first character of your name is your team, and your second character denotes that you are a team leader if it is 0.\n",
    "                                            CONSTRAINTS: Team members can only talk within the team, whilst team leader can talk to team leaders of other teams but not team members of other teams.\n",
    "\n",
    "                                            You can use NEXT: to suggest the next speaker. You have to respect the CONSTRAINTS, and can only suggest one player from the list of players, i.e., do not suggest A3 because A3 is not from the list of players.\n",
    "                                            Team leaders must make sure that they know the sum of the individual chocolate count of all three players in their own team, i.e., A0 is responsible for team A only.\n",
    "\n",
    "                                          Keep track of the player's tally using a JSON format so that others can check the total tally. Use\n",
    "                                          A0:?, A1:?, A2:?,\n",
    "                                          B0:?, B1:?, B2:?,\n",
    "                                          C0:?, C1:?, C2:?\n",
    "\n",
    "                                          If you are the team leader, you should aggregate your team's total chocolate count to cooperate.\n",
    "                                          Once the team leader know their team's tally, they can suggest another team leader for them to find their team tally, because we need all three team tallys to succeed.\n",
    "                                          Use NEXT: to suggest the next speaker, e.g., NEXT: A0.\n",
    "\n",
    "                                          Once we have the total tally from all nine players, sum up all three teams' tally, then terminate the discussion using TERMINATE.\n",
    "\n",
    "                                          \"\"\",\n",
    "                llm_config=config_list_gpt4,\n",
    "            )\n",
    "        )\n",
    "        speaker_transitions_dict[agents[-1]] = []\n",
    "\n",
    "    # Add edges between nodes with the same prefix using a nested for loop\n",
    "    for source_node in range(3):\n",
    "        source_id = f\"{prefix}{source_node}\"\n",
    "        for target_node in range(3):\n",
    "            target_id = f\"{prefix}{target_node}\"\n",
    "            if source_node != target_node:  # To avoid self-loops\n",
    "                speaker_transitions_dict[get_agent_of_name(agents, source_id)].append(\n",
    "                    get_agent_of_name(agents, name=target_id)\n",
    "                )\n",
    "\n",
    "\n",
    "# Adding edges between teams\n",
    "speaker_transitions_dict[get_agent_of_name(agents, \"A0\")].append(get_agent_of_name(agents, name=\"B0\"))\n",
    "speaker_transitions_dict[get_agent_of_name(agents, \"A0\")].append(get_agent_of_name(agents, name=\"C0\"))\n",
    "speaker_transitions_dict[get_agent_of_name(agents, \"B0\")].append(get_agent_of_name(agents, name=\"A0\"))\n",
    "speaker_transitions_dict[get_agent_of_name(agents, \"B0\")].append(get_agent_of_name(agents, name=\"C0\"))\n",
    "speaker_transitions_dict[get_agent_of_name(agents, \"C0\")].append(get_agent_of_name(agents, name=\"A0\"))\n",
    "speaker_transitions_dict[get_agent_of_name(agents, \"C0\")].append(get_agent_of_name(agents, name=\"B0\"))\n",
    "\n",
    "\n",
    "# Visualization only\n",
    "graph = nx.DiGraph()\n",
    "\n",
    "# Add nodes\n",
    "graph.add_nodes_from([agent.name for agent in agents])\n",
    "\n",
    "# Add edges\n",
    "for key, value in speaker_transitions_dict.items():\n",
    "    for agent in value:\n",
    "        graph.add_edge(key.name, agent.name)\n",
    "\n",
    "# Visualize\n",
    "# Draw the graph with secret values annotated\n",
    "plt.figure(figsize=(12, 10))\n",
    "pos = nx.spring_layout(graph)  # positions for all nodes\n",
    "\n",
    "# Draw nodes with their colors\n",
    "nx.draw(graph, pos, with_labels=True, font_weight=\"bold\")\n",
    "\n",
    "# Annotate secret values\n",
    "for node, (x, y) in pos.items():\n",
    "    secret_value = secret_values[node]\n",
    "    plt.text(x, y + 0.1, s=f\"Secret: {secret_value}\", horizontalalignment=\"center\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Termination message detection\n",
    "\n",
    "\n",
    "def is_termination_msg(content) -> bool:\n",
    "    have_content = content.get(\"content\", None) is not None\n",
    "    if have_content and \"TERMINATE\" in content[\"content\"]:\n",
    "        return True\n",
    "    return False\n",
    "\n",
    "\n",
    "# Terminates the conversation when TERMINATE is detected.\n",
    "user_proxy = autogen.UserProxyAgent(\n",
    "    name=\"User_proxy\",\n",
    "    system_message=\"Terminator admin.\",\n",
    "    code_execution_config=False,\n",
    "    is_termination_msg=is_termination_msg,\n",
    "    human_input_mode=\"NEVER\",\n",
    ")\n",
    "\n",
    "agents.append(user_proxy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:root:Warning: There are isolated agent nodes, there are not incoming nor outgoing edges. Isolated agents: ['User_proxy']\n",
      "WARNING:root:Warning: The set of agents in allowed_speaker_transitions do not match agents. Offending agents: ['User_proxy']\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[33mA0\u001b[0m (to chat_manager):\n",
      "\n",
      "\n",
      "                        There are 9 players in this game, split equally into Teams A, B, C. Therefore each team has 3 players, including the team leader.\n",
      "                        The task is to find out the sum of chocolate count from all nine players. I will now start with my team.\n",
      "                        NEXT: A1\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mA1\u001b[0m (to chat_manager):\n",
      "\n",
      "As the team leader of Team A, it's my responsibility to gather the chocolate count from my team members. I have 1 chocolate. \n",
      "\n",
      "A0:?, A1:1, A2:?,\n",
      "\n",
      "B0:?, B1:?, B2:?,\n",
      "\n",
      "C0:?, C1:?, C2:?\n",
      "\n",
      "NEXT: A2\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mA2\u001b[0m (to chat_manager):\n",
      "\n",
      "I have 5 chocolates.\n",
      "\n",
      "A0:?, A1:1, A2:5,\n",
      "\n",
      "B0:?, B1:?, B2:?,\n",
      "\n",
      "C0:?, C1:?, C2:?\n",
      "\n",
      "NEXT: A0\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mA0\u001b[0m (to chat_manager):\n",
      "\n",
      "I have 1 chocolate. Now that I have the counts from A1 and A2, I can calculate our team's total.\n",
      "\n",
      "A0:1, A1:1, A2:5,\n",
      "\n",
      "B0:?, B1:?, B2:?,\n",
      "\n",
      "C0:?, C1:?, C2:?\n",
      "\n",
      "Team A's total tally is 7 chocolates. It's time to find out the tally from another team. I'll pass this to the next team leader.\n",
      "\n",
      "NEXT: B0\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mB0\u001b[0m (to chat_manager):\n",
      "\n",
      "As the team leader of Team B, it's my responsibility to gather the chocolate count from my team members. I have 1 chocolate.\n",
      "\n",
      "A0:1, A1:1, A2:5,\n",
      "\n",
      "B0:1, B1:?, B2:?,\n",
      "\n",
      "C0:?, C1:?, C2:?\n",
      "\n",
      "Now, I need to find out the chocolate counts from B1 and B2.\n",
      "\n",
      "NEXT: B1\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mB1\u001b[0m (to chat_manager):\n",
      "\n",
      "I have 3 chocolates.\n",
      "\n",
      "A0:1, A1:1, A2:5,\n",
      "\n",
      "B0:1, B1:3, B2:?,\n",
      "\n",
      "C0:?, C1:?, C2:?\n",
      "\n",
      "NEXT: B2\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mB2\u001b[0m (to chat_manager):\n",
      "\n",
      "I have 4 chocolates. Now that I have the counts from B0 and B1, I can calculate our team's total.\n",
      "\n",
      "A0:1, A1:1, A2:5,\n",
      "\n",
      "B0:1, B1:3, B2:4,\n",
      "\n",
      "C0:?, C1:?, C2:?\n",
      "\n",
      "Team B's total tally is 8 chocolates. It's time to find out the tally from the last team. I'll pass this to the next team leader.\n",
      "\n",
      "NEXT: C0\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mB0\u001b[0m (to chat_manager):\n",
      "\n",
      "I'm sorry for any confusion, but it seems there's been a misunderstanding in the flow of communication. As B0, I should be the one to summarize the tally for Team B and pass the conversation to the next team leader. Let me correct that.\n",
      "\n",
      "A0:1, A1:1, A2:5,\n",
      "\n",
      "B0:1, B1:3, B2:4,\n",
      "\n",
      "C0:?, C1:?, C2:?\n",
      "\n",
      "With the counts from B1 and B2, Team B's total tally is indeed 8 chocolates. Now, it's time to find out the tally from Team C. I'll pass this to the next team leader.\n",
      "\n",
      "NEXT: C0\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mC0\u001b[0m (to chat_manager):\n",
      "\n",
      "As the team leader of Team C, it's my responsibility to gather the chocolate count from my team members. I have 3 chocolates.\n",
      "\n",
      "A0:1, A1:1, A2:5,\n",
      "\n",
      "B0:1, B1:3, B2:4,\n",
      "\n",
      "C0:3, C1:?, C2:?\n",
      "\n",
      "Now, I need to find out the chocolate counts from C1 and C2.\n",
      "\n",
      "NEXT: C1\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mC1\u001b[0m (to chat_manager):\n",
      "\n",
      "I have 3 chocolates.\n",
      "\n",
      "A0:1, A1:1, A2:5,\n",
      "\n",
      "B0:1, B1:3, B2:4,\n",
      "\n",
      "C0:3, C1:3, C2:?\n",
      "\n",
      "NEXT: C2\n",
      "\n",
      "--------------------------------------------------------------------------------\n",
      "\u001b[33mC2\u001b[0m (to chat_manager):\n",
      "\n",
      "I have 2 chocolates. Now that I have the counts from C0 and C1, I can calculate our team's total.\n",
      "\n",
      "A0:1, A1:1, A2:5,\n",
      "\n",
      "B0:1, B1:3, B2:4,\n",
      "\n",
      "C0:3, C1:3, C2:2\n",
      "\n",
      "Team C's total tally is 8 chocolates. Now that we have the tallies from all teams, we can sum them up.\n",
      "\n",
      "Team A's total is 7 chocolates, Team B's total is 8 chocolates, and Team C's total is 8 chocolates. The grand total is 23 chocolates.\n",
      "\n",
      "TERMINATE\n",
      "\n",
      "--------------------------------------------------------------------------------\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "ChatResult(chat_id=None, chat_history=[{'content': '\\n                        There are 9 players in this game, split equally into Teams A, B, C. Therefore each team has 3 players, including the team leader.\\n                        The task is to find out the sum of chocolate count from all nine players. I will now start with my team.\\n                        NEXT: A1', 'role': 'assistant'}, {'content': \"As the team leader of Team A, it's my responsibility to gather the chocolate count from my team members. I have 1 chocolate. \\n\\nA0:?, A1:1, A2:?,\\n\\nB0:?, B1:?, B2:?,\\n\\nC0:?, C1:?, C2:?\\n\\nNEXT: A2\", 'name': 'A1', 'role': 'user'}, {'content': 'I have 5 chocolates.\\n\\nA0:?, A1:1, A2:5,\\n\\nB0:?, B1:?, B2:?,\\n\\nC0:?, C1:?, C2:?\\n\\nNEXT: A0', 'name': 'A2', 'role': 'user'}, {'content': \"I have 1 chocolate. Now that I have the counts from A1 and A2, I can calculate our team's total.\\n\\nA0:1, A1:1, A2:5,\\n\\nB0:?, B1:?, B2:?,\\n\\nC0:?, C1:?, C2:?\\n\\nTeam A's total tally is 7 chocolates. It's time to find out the tally from another team. I'll pass this to the next team leader.\\n\\nNEXT: B0\", 'role': 'assistant'}, {'content': \"As the team leader of Team B, it's my responsibility to gather the chocolate count from my team members. I have 1 chocolate.\\n\\nA0:1, A1:1, A2:5,\\n\\nB0:1, B1:?, B2:?,\\n\\nC0:?, C1:?, C2:?\\n\\nNow, I need to find out the chocolate counts from B1 and B2.\\n\\nNEXT: B1\", 'name': 'B0', 'role': 'user'}, {'content': 'I have 3 chocolates.\\n\\nA0:1, A1:1, A2:5,\\n\\nB0:1, B1:3, B2:?,\\n\\nC0:?, C1:?, C2:?\\n\\nNEXT: B2', 'name': 'B1', 'role': 'user'}, {'content': \"I have 4 chocolates. Now that I have the counts from B0 and B1, I can calculate our team's total.\\n\\nA0:1, A1:1, A2:5,\\n\\nB0:1, B1:3, B2:4,\\n\\nC0:?, C1:?, C2:?\\n\\nTeam B's total tally is 8 chocolates. It's time to find out the tally from the last team. I'll pass this to the next team leader.\\n\\nNEXT: C0\", 'name': 'B2', 'role': 'user'}, {'content': \"I'm sorry for any confusion, but it seems there's been a misunderstanding in the flow of communication. As B0, I should be the one to summarize the tally for Team B and pass the conversation to the next team leader. Let me correct that.\\n\\nA0:1, A1:1, A2:5,\\n\\nB0:1, B1:3, B2:4,\\n\\nC0:?, C1:?, C2:?\\n\\nWith the counts from B1 and B2, Team B's total tally is indeed 8 chocolates. Now, it's time to find out the tally from Team C. I'll pass this to the next team leader.\\n\\nNEXT: C0\", 'name': 'B0', 'role': 'user'}, {'content': \"As the team leader of Team C, it's my responsibility to gather the chocolate count from my team members. I have 3 chocolates.\\n\\nA0:1, A1:1, A2:5,\\n\\nB0:1, B1:3, B2:4,\\n\\nC0:3, C1:?, C2:?\\n\\nNow, I need to find out the chocolate counts from C1 and C2.\\n\\nNEXT: C1\", 'name': 'C0', 'role': 'user'}, {'content': 'I have 3 chocolates.\\n\\nA0:1, A1:1, A2:5,\\n\\nB0:1, B1:3, B2:4,\\n\\nC0:3, C1:3, C2:?\\n\\nNEXT: C2', 'name': 'C1', 'role': 'user'}, {'content': \"I have 2 chocolates. Now that I have the counts from C0 and C1, I can calculate our team's total.\\n\\nA0:1, A1:1, A2:5,\\n\\nB0:1, B1:3, B2:4,\\n\\nC0:3, C1:3, C2:2\\n\\nTeam C's total tally is 8 chocolates. Now that we have the tallies from all teams, we can sum them up.\\n\\nTeam A's total is 7 chocolates, Team B's total is 8 chocolates, and Team C's total is 8 chocolates. The grand total is 23 chocolates.\\n\\nTERMINATE\", 'name': 'C2', 'role': 'user'}], summary=\"I have 2 chocolates. Now that I have the counts from C0 and C1, I can calculate our team's total.\\n\\nA0:1, A1:1, A2:5,\\n\\nB0:1, B1:3, B2:4,\\n\\nC0:3, C1:3, C2:2\\n\\nTeam C's total tally is 8 chocolates. Now that we have the tallies from all teams, we can sum them up.\\n\\nTeam A's total is 7 chocolates, Team B's total is 8 chocolates, and Team C's total is 8 chocolates. The grand total is 23 chocolates.\\n\\n\", cost={'usage_including_cached_inference': {'total_cost': 0.5525399999999999, 'gpt-4': {'cost': 0.5525399999999999, 'prompt_tokens': 18174, 'completion_tokens': 122, 'total_tokens': 18296}}, 'usage_excluding_cached_inference': {'total_cost': 0.5525399999999999, 'gpt-4': {'cost': 0.5525399999999999, 'prompt_tokens': 18174, 'completion_tokens': 122, 'total_tokens': 18296}}}, human_input=[])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "group_chat = GroupChat(\n",
    "    agents=agents,\n",
    "    messages=[],\n",
    "    max_round=20,\n",
    "    allowed_or_disallowed_speaker_transitions=speaker_transitions_dict,\n",
    "    speaker_transitions_type=\"allowed\",\n",
    ")\n",
    "\n",
    "\n",
    "# Create the manager\n",
    "manager = autogen.GroupChatManager(\n",
    "    groupchat=group_chat,\n",
    "    llm_config=config_list_gpt4,\n",
    "    code_execution_config=False,\n",
    "    is_termination_msg=is_termination_msg,\n",
    ")\n",
    "\n",
    "\n",
    "# Initiates the chat with Alice\n",
    "agents[0].initiate_chat(\n",
    "    manager,\n",
    "    message=\"\"\"\n",
    "                        There are 9 players in this game, split equally into Teams A, B, C. Therefore each team has 3 players, including the team leader.\n",
    "                        The task is to find out the sum of chocolate count from all nine players. I will now start with my team.\n",
    "                        NEXT: A1\"\"\",\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "front_matter": {
   "description": "Explore the demonstration of the Finite State Machine implementation, which allows the user to input speaker transition constraints.",
   "tags": [
    "group chat",
    "fsm",
    "orchestration"
   ]
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}