taxiV3_SMDP_IOQL.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "PA3_VSS_TZ",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/showman-sharma/taxi-v3-learning/blob/main/PA3_VSS_TZ.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#The TAXI V3 Environment\n",
        "\n",
        "### References:\n",
        "\n",
        " [Recent Advances in Hierarchical Reinforcement\n",
        "Learning](https://people.cs.umass.edu/~mahadeva/papers/hrl.pdf) is a strong recommendation for topics in HRL that was covered in class. Watch Prof. Ravi's lectures on moodle or nptel for further understanding the core concepts. Contact the TAs for further resources if needed. \n"
      ],
      "metadata": {
        "id": "pn7PKu9r0asK"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "'''\n",
        "A bunch of imports, you don't have to worry about these\n",
        "'''\n",
        "import random\n",
        "import numpy as np\n",
        "import random\n",
        "import gym\n",
        "from gym.wrappers import Monitor\n",
        "import glob\n",
        "import io\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "from IPython.display import HTML"
      ],
      "metadata": {
        "id": "P_DODRgW_ZKS"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "'''\n",
        "The environment used here is extremely similar to the openai gym ones.\n",
        "At first glance it might look slightly different. \n",
        "The usual commands we use for our experiments are added to this cell to aid you\n",
        "work using this environment.\n",
        "'''\n",
        "\n",
        "#Setting up the environment\n",
        "env = gym.make('Taxi-v3')\n",
        "\n",
        "env.reset()\n",
        "\n",
        "#Current State\n",
        "print(env.s)\n",
        "\n",
        "# 5x5x5x4 grid = 500 states\n",
        "print (\"Number of states:\", env.nS)\n",
        "\n",
        "# Primitive Actions\n",
        "action = [\"south\", \"north\", \"east\", \"west\",\"pick\",\"drop\"]\n",
        "#correspond to [0,1,2,3,4,5] that's actually passed to the environment\n",
        "\n",
        "# either go left, up, down or right\n",
        "print (\"Number of actions that an agent can take:\", env.nA)\n",
        "\n",
        "# Example Transitions\n",
        "rnd_action = random.randint(0, 3)\n",
        "print (\"Action taken:\", action[rnd_action])\n",
        "next_state, reward, is_terminal, t_prob = env.step(rnd_action)\n",
        "print (\"Transition probability:\", t_prob)\n",
        "print (\"Next state:\", next_state)\n",
        "print (\"Reward recieved:\", reward)\n",
        "print (\"Terminal state:\", is_terminal)\n",
        "\n",
        "state = env.reset()\n",
        "print (\"Decoded state:\", list(env.decode(state)))\n",
        "env.render()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fYNA5kiH_esJ",
        "outputId": "d8185646-9a27-4035-ee6c-a0df19354988"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "474\n",
            "Number of states: 500\n",
            "Number of actions that an agent can take: 6\n",
            "Action taken: east\n",
            "Transition probability: {'prob': 1.0}\n",
            "Next state: 494\n",
            "Reward recieved: -1\n",
            "Terminal state: False\n",
            "Decoded state: [3, 2, 0, 3]\n",
            "+---------+\n",
            "|\u001b[34;1mR\u001b[0m: | : :G|\n",
            "| : | : : |\n",
            "| : : : : |\n",
            "| | :\u001b[43m \u001b[0m| : |\n",
            "|Y| : |\u001b[35mB\u001b[0m: |\n",
            "+---------+\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def stateData(state):\n",
        "  picdrop = state%20\n",
        "  pos = state//20\n",
        "  y = pos//5\n",
        "  x = pos%5\n",
        "  drop = picdrop%4\n",
        "  passenger = picdrop//4\n",
        "  return x,y,drop,passenger"
      ],
      "metadata": {
        "id": "NxWzrIztj-8C"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Task 1\n",
        "Complete the code cell below\n"
      ],
      "metadata": {
        "id": "Jmv5c0XoK8GA"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#Update_Frequency Data structure? Check TODO 4\n",
        "\n",
        "# TODO: epsilon-greedy action selection function\n",
        "def egreedy_policy(q_values,state,epsilon):\n",
        "  if q_values[state].any() and random.random() > epsilon:\n",
        "    #print('greedy', np.argmax(q_values[state]),q_values.shape)\n",
        "    return np.argmax(q_values[state])\n",
        "  choice = random.randint(0,q_values.shape[-1]-1)  \n",
        "  #print('random',choice,q_values.shape)  \n",
        "  return choice"
      ],
      "metadata": {
        "id": "bh_oghc7Ledh"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Task 2\n",
        "SMDP Q-Learning, Q-table and update frequency. "
      ],
      "metadata": {
        "id": "N8VJYkqoLqlO"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from IPython.display import clear_output\n",
        "import time"
      ],
      "metadata": {
        "id": "5HhaS4VTCGf9"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Fully deterministic policy"
      ],
      "metadata": {
        "id": "WLiOXRTlsbD7"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "policyOptionR = np.array([[1,3,0,0,0],\n",
        "                 [1,3,0,0,0],\n",
        "                 [1,3,3,3,3],\n",
        "                 [1,1,1,1,1],\n",
        "                 [1,1,1,1,1]\n",
        "                 ])\n",
        "policyOptionG = np.array([[0,0,2,2,1],\n",
        "                 [0,0,2,2,1],\n",
        "                 [2,2,2,1,1],\n",
        "                 [1,2,1,1,1],\n",
        "                 [1,2,1,1,1]\n",
        "                 ])\n",
        "policyOptionY = np.array([[0,3,0,0,0],\n",
        "                          [0,3,0,0,0],\n",
        "                          [0,3,3,3,3],\n",
        "                          [0,1,1,1,3],\n",
        "                          [0,1,3,1,3]\n",
        "                          ])\n",
        "policyOptionB = np.array([[0,0,0,0,3],\n",
        "                          [0,0,0,0,3],\n",
        "                          [2,2,2,0,3],\n",
        "                          [1,1,1,0,3],\n",
        "                          [1,1,1,0,3]\n",
        "                          ])\n",
        "policyOpt = [policyOptionR,policyOptionG,policyOptionY,policyOptionB]"
      ],
      "metadata": {
        "id": "AxQls_CYV266"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "figure, axis = plt.subplots(2,2,figsize=(10,10))\n",
        "for i in range(2):\n",
        "  for j in range(2):\n",
        "    labels = {0:'south',1:'north', 2:'east', 3:'west'}\n",
        "    annot_text = np.vectorize(labels.get)((policyOpt[2*i+j]))\n",
        "    ax = sns.heatmap((policyOpt[2*i+j]),ax=axis[i,j],annot = annot_text,fmt='')\n",
        "    axis[i,j].set_title(\"Policy hardcoded for option {}\".format(i*2+j)) \n",
        "    c_bar = ax.collections[0].colorbar\n",
        "    c_bar.set_ticks([i for i in range(4)])\n",
        "    c_bar.set_ticklabels(['south','north','east','west'])\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "id": "eL59-rNqjPY0",
        "outputId": "a81b413f-ad2b-425f-e615-266f4e3c8317"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 8 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#Fully deterministic\n",
        "rewards0 = []\n",
        "T = 1\n",
        "goal = {0:[0,0],1:[0,4],2:[4,0],3:[4,3]}\n",
        "Neps = 1500\n",
        "for i in range(Neps):\n",
        "  state = env.reset()\n",
        "  done = False\n",
        "  tot_rew = 0\n",
        "  while not done:\n",
        "    x,y,pas,drop = env.decode(state)\n",
        "    \n",
        "    #Go to passenger\n",
        "    findPas = False\n",
        "    while not findPas and not done:\n",
        "      optact = policyOpt[pas][x,y]\n",
        "      state, reward, done,_ = env.step(optact)\n",
        "      tot_rew += reward\n",
        "      x,y,pas,drop = env.decode(state)\n",
        "      if x == goal[pas][0] and y==goal[pas][1]:\n",
        "        findPas = True\n",
        "      # clear_output(wait=True)\n",
        "      # print(env.render()) \n",
        "      # time.sleep(T) \n",
        "\n",
        "    #Pickup passenger\n",
        "    optact = 4\n",
        "    state, reward, done,_ = env.step(optact)\n",
        "    tot_rew += reward\n",
        "    # clear_output(wait=True)\n",
        "    # print(env.render())\n",
        "    # time.sleep(T)\n",
        "\n",
        "    #Go to drop location\n",
        "    x,y,pas,drop = env.decode(state)\n",
        "    findDrop = False\n",
        "    while not findDrop and not done:\n",
        "      optact = policyOpt[drop][x,y]\n",
        "      state, reward, done,_ = env.step(optact)\n",
        "      tot_rew += reward\n",
        "      x,y,pas,drop = env.decode(state)\n",
        "      if x == goal[drop][0] and y==goal[drop][1]:\n",
        "        findDrop = True\n",
        "      # clear_output(wait=True)\n",
        "      # print(env.render())  \n",
        "      # time.sleep(T)\n",
        "\n",
        "    #Drop passenger\n",
        "    optact = 5\n",
        "    state, reward, done,_ = env.step(optact)\n",
        "    tot_rew += reward   \n",
        "    # clear_output(wait=True)\n",
        "    # print(env.render())\n",
        "    # time.sleep(T)\n",
        "  rewards0.append(tot_rew)   "
      ],
      "metadata": {
        "id": "g3DKFWD8Uq-r"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize = (10,5))\n",
        "avg_rews0 = [np.average(rewards0[i:i+100]) for i in range(len(rewards0)-100)]\n",
        "plt.plot(avg_rews0,label = 'Model Score')\n",
        "plt.plot([9.7 for i in range(len(avg_rews0))],label = 'Solved line')\n",
        "plt.xlabel('Episodes')\n",
        "plt.ylabel('score averaged over previous 100 runs')\n",
        "plt.title('Fully hardcoded model')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 368
        },
        "id": "Mp8qd6Xg-svu",
        "outputId": "78ecd0b5-903d-4cbd-dbbd-ba95ffbd0304"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f1ed2d06c50>"
            ]
          },
          "metadata": {},
          "execution_count": 55
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Deterministic policy over options with Q-learning Option policies"
      ],
      "metadata": {
        "id": "uvkM0PY5sfmL"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "nO = 4 #number of options\n",
        "goal = {0:[0,0],1:[0,4],2:[4,0],3:[4,3]}\n",
        "def Option(env,state,Q,goalNum,eps=0.1,goal = goal):\n",
        "  optdone = False\n",
        "  x,y,pas,drop=env.decode(state)\n",
        "  \n",
        "  if (x==goal[goalNum][0] and y==goal[goalNum][1]):\n",
        "      #print('Reached ',goalNum)\n",
        "      optdone = True \n",
        "      if pas == goalNum:\n",
        "        optact = 4\n",
        "      elif drop == goalNum:\n",
        "        optact = 5 \n",
        "      else:   \n",
        "        optact = 1 if (goalNum in [0,1]) else 0\n",
        "  else:\n",
        "    optact = egreedy_policy(Q[goalNum], 5*x+y, epsilon=eps) \n",
        "  return [optact,optdone]\n",
        "\n",
        "'''\n",
        "Now the new action space will contain\n",
        "Primitive Actions: [\"south\", \"north\", \"east\", \"west\",\"pick\",\"drop\"]\n",
        "Options: [\"OptionR\",\"OptionG\",\"OptionY\",\"OptionB\"]\n",
        "Total Actions :[\"south\", \"north\", \"east\", \"west\",\"pick\",\"drop\",\"OptionR\",\"OptionG\",\"OptionY\",\"OptionB\"]\n",
        "Corresponding to [0,1,2,3,4,5,6,7,8,9]\n",
        "'''"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 54
        },
        "id": "NYhKG-z7FlEQ",
        "outputId": "28442a51-9670-47bf-8fa9-8358592d3b8b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "'\\nNow the new action space will contain\\nPrimitive Actions: [\"south\", \"north\", \"east\", \"west\",\"pick\",\"drop\"]\\nOptions: [\"OptionR\",\"OptionG\",\"OptionY\",\"OptionB\"]\\nTotal Actions :[\"south\", \"north\", \"east\", \"west\",\"pick\",\"drop\",\"OptionR\",\"OptionG\",\"OptionY\",\"OptionB\"]\\nCorresponding to [0,1,2,3,4,5,6,7,8,9]\\n'"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            }
          },
          "metadata": {},
          "execution_count": 56
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#deterministic option choice. Option policy from Q learning\n",
        "rewards1 = []\n",
        "T = 1\n",
        "goal = {0:[0,0],1:[0,4],2:[4,0],3:[4,3]}\n",
        "\n",
        "\n",
        "# Add parameters you might need here\n",
        "gamma = 0.9\n",
        "alpha = 0.1\n",
        "\n",
        "Qopt = {i:np.zeros((env.nS//20,env.nA-2)) for i in range(nO)} #Q-values for each option\n",
        "eps = {i:0.1 for i in range(nO)}\n",
        "eps_min = 0.01\n",
        "eps_decay = 0.99\n",
        "count = 0\n",
        "Neps = 1500\n",
        "for i in range(Neps):\n",
        "  state = env.reset()\n",
        "  done = False\n",
        "  tot_rew = 0\n",
        "  while not done:\n",
        "    x,y,pas,drop = env.decode(state)\n",
        "    \n",
        "    #Go to passenger and pickup\n",
        "    findPas = False\n",
        "    option = pas\n",
        "    while not findPas and not done and (pas<4):\n",
        "\n",
        "      optact,findPas = Option(env,state,Qopt,option,eps[option])\n",
        "      [x,y,_,_]=  list(env.decode(state))  \n",
        "\n",
        "      next_state, reward, done,_ = env.step(optact)\n",
        "      [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "\n",
        "      tot_rew+=reward\n",
        "\n",
        "      eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "      tot_rew+=reward\n",
        "      reward_surr = reward\n",
        "      if findPas:\n",
        "        reward_surr = 20\n",
        "      if optact<4:  \n",
        "        Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        "      state = next_state\n",
        "\n",
        "      # clear_output(wait=True)\n",
        "      # print(env.render())\n",
        "      # time.sleep(T)\n",
        "\n",
        "\n",
        "    #Go to drop location and drop\n",
        "    x,y,pas,drop = env.decode(state)\n",
        "    findDrop = False\n",
        "    option = drop\n",
        "    while not findDrop and not done:\n",
        "      # optact = policyOpt[drop][x,y]\n",
        "      # state, reward, done,_ = env.step(optact)\n",
        "      # tot_rew += reward\n",
        "      # x,y,pas,drop = env.decode(state)\n",
        "      # if x == goal[drop][0] and y==goal[drop][1]:\n",
        "      #   findDrop = True\n",
        "      optact,findDrop = Option(env,state,Qopt,option,eps[option])\n",
        "      \n",
        "      [x,y,_,_]=  list(env.decode(state))  \n",
        "\n",
        "      next_state, reward, done,_ = env.step(optact)\n",
        "      [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "\n",
        "      tot_rew+=reward\n",
        "\n",
        "      eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "      tot_rew+=reward\n",
        "      reward_surr = reward\n",
        "      if findDrop:\n",
        "        reward_surr = 20\n",
        "      if optact<4:  \n",
        "        Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        "      state = next_state\n",
        "\n",
        "      # clear_output(wait=True)\n",
        "      # print(env.render())  \n",
        "      # time.sleep(T)\n",
        "\n",
        "  x,y,pas,drop = env.decode(state)\n",
        "  if pas==drop:\n",
        "    count+=1\n",
        "    clear_output(wait=True)\n",
        "    print('Success ({}/{}) = {}%'.format(count,i+1,100*count/(i+1)))\n",
        "    # clear_output(wait=True)\n",
        "    # print(env.render())\n",
        "    # time.sleep(T)\n",
        "  rewards1.append(tot_rew)   "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gYbxYRpdG_up",
        "outputId": "a9fd7669-8b12-4e3b-822e-73634f2c7e90"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Success (1486/1500) = 99.06666666666666%\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize = (10,5))\n",
        "avg_rews1 = [np.average(rewards1[i:i+100]) for i in range(len(rewards1)-100)]\n",
        "plt.plot(avg_rews1,label = 'Model Score')\n",
        "plt.plot([9.7 for i in range(len(avg_rews1))],label = 'Solved line')\n",
        "plt.xlabel('Episodes')\n",
        "plt.ylabel('score averaged over previous 100 runs')\n",
        "plt.title('hardcoded policy over options with Q-learning Option policies')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 368
        },
        "id": "fzUkmPd4Lvdj",
        "outputId": "bf448690-a701-467d-816e-d5f25278123c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f1ed2d469d0>"
            ]
          },
          "metadata": {},
          "execution_count": 58
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "state = env.reset()\n",
        "done = False\n",
        "tot_rew = 0\n",
        "while not done:\n",
        "  x,y,pas,drop = env.decode(state)\n",
        "  \n",
        "  #Go to passenger and pickup\n",
        "  findPas = False\n",
        "  option = pas\n",
        "  while not findPas and not done and (pas<4):\n",
        "\n",
        "    optact,findPas = Option(env,state,Qopt,option,eps[option])\n",
        "    [x,y,_,_]=  list(env.decode(state))  \n",
        "\n",
        "    next_state, reward, done,_ = env.step(optact)\n",
        "    [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "\n",
        "    tot_rew+=reward\n",
        "\n",
        "    eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "    tot_rew+=reward\n",
        "    reward_surr = reward\n",
        "    if findPas:\n",
        "      reward_surr = 20\n",
        "    if optact<4:  \n",
        "      Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        "    state = next_state\n",
        "\n",
        "    clear_output(wait=True)\n",
        "    print(env.render())\n",
        "    time.sleep(T)\n",
        "\n",
        "\n",
        "  #Go to drop location and drop\n",
        "  x,y,pas,drop = env.decode(state)\n",
        "  findDrop = False\n",
        "  option = drop\n",
        "  while not findDrop and not done:\n",
        "    optact,findDrop = Option(env,state,Qopt,option,eps[option])\n",
        "    \n",
        "    [x,y,_,_]=  list(env.decode(state))  \n",
        "\n",
        "    next_state, reward, done,_ = env.step(optact)\n",
        "    [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "\n",
        "    tot_rew+=reward\n",
        "\n",
        "    eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "    tot_rew+=reward\n",
        "    reward_surr = reward\n",
        "    if findDrop:\n",
        "      reward_surr = 20\n",
        "    if optact<4:  \n",
        "      Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        "    state = next_state\n",
        "\n",
        "    clear_output(wait=True)\n",
        "    print(env.render())  \n",
        "    time.sleep(T)\n",
        "\n",
        "x,y,pas,drop = env.decode(state)\n",
        "if pas==drop:\n",
        "  count+=1\n",
        "  print('Success ({}/{}) in {}th episode'.format(count,Neps,i))\n",
        "  # clear_output(wait=True)\n",
        "  # print(env.render())\n",
        "  # time.sleep(T)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "SmycDdLVOKfo",
        "outputId": "54a9d6dd-74a2-469c-9ea8-ddfa8e5d0850"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "+---------+\n",
            "|R: | : :\u001b[35m\u001b[34;1m\u001b[43mG\u001b[0m\u001b[0m\u001b[0m|\n",
            "| : | : : |\n",
            "| : : : : |\n",
            "| | : | : |\n",
            "|Y| : |B: |\n",
            "+---------+\n",
            "  (Dropoff)\n",
            "None\n",
            "Success (1487/1500) in 1499th episode\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "figure, axis = plt.subplots(2,2,figsize=(10,10))\n",
        "for i in range(2):\n",
        "  for j in range(2):\n",
        "    labels = {0:'south',1:'north', 2:'east', 3:'west'}\n",
        "    annot_text = np.vectorize(labels.get)(np.argmax(Qopt[2*i+j],axis=1).reshape(5,5))\n",
        "    ax = sns.heatmap(np.argmax(Qopt[2*i+j],axis=1).reshape(5,5),ax=axis[i,j],annot = annot_text,fmt='')\n",
        "    axis[i,j].set_title(\"Policy learnt (Only Q-learning)) {}\".format(i*2+j))\n",
        "    c_bar = ax.collections[0].colorbar\n",
        "    c_bar.set_ticks([i for i in range(4)])\n",
        "    c_bar.set_ticklabels(['south','north','east','west'])\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "id": "wqA-njyMUwaS",
        "outputId": "66ad94b7-350b-4471-a645-af28bb7feacd"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 8 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## SMDP learning of policy of selection options, with option policy from Q learning"
      ],
      "metadata": {
        "id": "kIU9LaeesrwU"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#### SMDP Q-Learning \n",
        "\n",
        "rewards2 = []\n",
        "T = 1\n",
        "goal = {0:[0,0],1:[0,4],2:[4,0],3:[4,3]}\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "# Add parameters you might need here\n",
        "gamma = 0.9\n",
        "alpha = 0.1\n",
        "\n",
        "#Q-Table: (States x Actions) === (env.ns(48) x total actions(6))\n",
        "nX = 5; nY = 5; nPas = 5; nDrop = 4\n",
        "q_values_SMDP = np.zeros((nPas*nDrop,nO))\n",
        "updates_SMDP = np.zeros((nPas*nDrop,nO))\n",
        "\n",
        "Qopt = {i:np.zeros((env.nS//20,env.nA-2)) for i in range(nO)} #Q-values for each option\n",
        "eps = {i:0.01 for i in range(nO)}\n",
        "eps_min = 0.01\n",
        "eps_decay = 0.99\n",
        "eps_main = 0.5\n",
        "count = 0\n",
        "Neps = 1500\n",
        "\n",
        "# Iterate over Neps episodes\n",
        "for i in range(Neps):\n",
        "    state = env.reset()    \n",
        "    done = False\n",
        "    tot_rew = 0\n",
        "    # While episode is not over\n",
        "    while not done:\n",
        "        \n",
        "        # Choose action       \n",
        "        x,y,pas,drop = env.decode(state) \n",
        "        subState = nDrop*pas+drop\n",
        "        option = egreedy_policy(q_values_SMDP, subState, epsilon=eps_main)\n",
        "        eps_main = max(eps_min,eps_decay*eps_main)\n",
        "        reward_bar = 0\n",
        "        optdone = False\n",
        "        move = 0\n",
        "        prev = state  \n",
        "\n",
        "        #Go to location and drop/pick\n",
        "        x,y,pas,drop = env.decode(state)\n",
        "        optdone = False\n",
        "        while not optdone and not done:\n",
        "          # optact = policyOpt[drop][x,y]\n",
        "          # state, reward, done,_ = env.step(optact)\n",
        "          # tot_rew += reward\n",
        "          # x,y,pas,drop = env.decode(state)\n",
        "          # if x == goal[drop][0] and y==goal[drop][1]:\n",
        "          #   findDrop = True\n",
        "          optact,optdone = Option(env,state,Qopt,option,eps[option])\n",
        "          \n",
        "          [x,y,_,_]=  list(env.decode(state))  \n",
        "\n",
        "          next_state, reward, done,_ = env.step(optact)\n",
        "          [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "          reward_bar = gamma*reward_bar + reward\n",
        "          move += 1\n",
        "          tot_rew+=reward\n",
        "\n",
        "          eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "          tot_rew+=reward\n",
        "          reward_surr = reward\n",
        "          if optdone:\n",
        "            reward_surr = 20\n",
        "          if optact<4:  \n",
        "            Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        "          state = next_state\n",
        "\n",
        "          \n",
        "\n",
        "            #--\n",
        "        _,_,pas,drop = env.decode(state) \n",
        "        subState = nDrop*pas+drop\n",
        "\n",
        "        _,_,pas,drop = env.decode(prev) \n",
        "        subPrev = nDrop*pas+drop\n",
        "\n",
        "        q_values_SMDP[subPrev, option] += alpha*(reward_bar + (gamma**move)*np.max(q_values_SMDP[subState, :]) - q_values_SMDP[subPrev, option])\n",
        "        updates_SMDP[subPrev, option] += 1\n",
        "    rewards2.append(tot_rew)\n",
        "    x,y,pas,drop = env.decode(state)\n",
        "    if pas==drop:\n",
        "      count+=1\n",
        "      clear_output(wait=True)\n",
        "      print('Success ({}/{}) = {}%'.format(count,i+1,100*count/(i+1)))\n",
        " \n",
        "        "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "EWU4MmyJs2Up",
        "outputId": "a82d6fb7-6877-478d-cd49-267b4a3145e4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Success (1480/1500) = 98.66666666666667%\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize = (10,5))\n",
        "avg_rews2 = [np.average(rewards2[i:i+100]) for i in range(len(rewards2)-100)]\n",
        "plt.plot(avg_rews2,label = 'Model Score')\n",
        "plt.plot([9.7 for i in range(len(avg_rews2))],label = 'Solved line')\n",
        "plt.xlabel('Episodes')\n",
        "plt.ylabel('score averaged over previous 100 runs')\n",
        "plt.title('SMDP over options with Q-learning Option policies')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 368
        },
        "id": "yWFNcJAovK5X",
        "outputId": "775f30c2-6ac8-46b2-c97d-065a2fff4f5c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f1ed3bcbc10>"
            ]
          },
          "metadata": {},
          "execution_count": 62
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "state = env.reset()    \n",
        "done = False\n",
        "tot_rew = 0\n",
        "T = 1\n",
        "# While episode is not over\n",
        "while not done:\n",
        "    \n",
        "    # Choose action        \n",
        "    x,y,pas,drop = env.decode(state) \n",
        "    subState = nDrop*pas+drop\n",
        "    option = egreedy_policy(q_values_SMDP, subState, epsilon=eps_main)\n",
        "    eps_main = max(eps_min,eps_decay*eps_main)\n",
        "    reward_bar = 0\n",
        "    optdone = False\n",
        "    move = 0\n",
        "    prev = state  \n",
        "    while (optdone == False) and not done:\n",
        "        \n",
        "\n",
        "        #--\n",
        "        #Go to location and drop/pick\n",
        "        x,y,pas,drop = env.decode(state)\n",
        "        optdone = False\n",
        "        while not optdone and not done:\n",
        "          # optact = policyOpt[drop][x,y]\n",
        "          # state, reward, done,_ = env.step(optact)\n",
        "          # tot_rew += reward\n",
        "          # x,y,pas,drop = env.decode(state)\n",
        "          # if x == goal[drop][0] and y==goal[drop][1]:\n",
        "          #   findDrop = True\n",
        "          optact,optdone = Option(env,state,Qopt,option,eps[option])\n",
        "          \n",
        "          [x,y,_,_]=  list(env.decode(state))  \n",
        "\n",
        "          next_state, reward, done,_ = env.step(optact)\n",
        "\n",
        "          clear_output(wait=True)\n",
        "          print(env.render())  \n",
        "          time.sleep(T)\n",
        "          \n",
        "          [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "\n",
        "          tot_rew+=reward\n",
        "\n",
        "          eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "          tot_rew+=reward\n",
        "          reward_surr = reward\n",
        "          if optdone:\n",
        "            reward_surr = 20\n",
        "          if optact<4:  \n",
        "            Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        "          state = next_state\n",
        "\n",
        "        #--\n",
        "\n",
        "    _,_,pas,drop = env.decode(state) \n",
        "    subState = nDrop*pas+drop\n",
        "\n",
        "    _,_,pas,drop = env.decode(prev) \n",
        "    subPrev = nDrop*pas+drop\n",
        "    \n",
        "    q_values_SMDP[subPrev, option] += alpha*(reward_bar + (gamma**move)*np.max(q_values_SMDP[subState, :]) - q_values_SMDP[subPrev, option])\n",
        "    updates_SMDP[subPrev, option] += 1\n",
        "x,y,pas,drop = env.decode(state)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "OvOc1A1fyRwy",
        "outputId": "eb497105-3041-4174-fb08-4ebe82f86b62"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "+---------+\n",
            "|R: | : :G|\n",
            "| : | : : |\n",
            "| : : : : |\n",
            "| | : | : |\n",
            "|\u001b[35m\u001b[34;1m\u001b[43mY\u001b[0m\u001b[0m\u001b[0m| : |B: |\n",
            "+---------+\n",
            "  (Dropoff)\n",
            "None\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Qmax_SMDP = np.argmax(q_values_SMDP,axis = 1).reshape(5,4)\n",
        "labels = {0:'goto R',1:'goto G', 2:'goto Y', 3:'goto B'}\n",
        "annot_text = np.vectorize(labels.get)(Qmax_SMDP)\n",
        "figure, axis = plt.subplots(1, 1,figsize=(10,10))\n",
        "ax = sns.heatmap(Qmax_SMDP,ax=axis,xticklabels = [\"R\",\"G\",\"Y\",\"B\"],yticklabels = ['R','G','Y','B','Taxi'],annot = annot_text,fmt = '')\n",
        "c_bar = ax.collections[0].colorbar\n",
        "c_bar.set_ticks([0, 1, 2, 3])\n",
        "c_bar.set_ticklabels(['goto R','goto G', 'goto Y', 'goto B'])\n",
        "\n",
        "axis.set_xlabel('Drop off points')\n",
        "axis.set_ylabel(\"Passenger location\")\n",
        "axis.set_title('Policy learnt by SMDP')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 639
        },
        "id": "olEAGuZ30gfE",
        "outputId": "3765016b-6b8f-4fe2-ef97-3cae7e890400"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Policy learnt by SMDP')"
            ]
          },
          "metadata": {},
          "execution_count": 64
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize = (20,10))\n",
        "plt.plot(avg_rews0,label = 'Fully deterministic')\n",
        "plt.plot(avg_rews1,label = 'Qlearning on Policy options')\n",
        "plt.plot(avg_rews2,label = 'SMDP')\n",
        "plt.plot([9.7 for i in range(len(avg_rews2))],label = 'Solved score line (9.7)')\n",
        "plt.xlabel('Episodes')\n",
        "plt.ylabel('score averaged over previous 100 runs')\n",
        "plt.title('Various learning models')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 639
        },
        "id": "iaAw7O_L4w9h",
        "outputId": "c10dfced-7196-48e0-9b36-ebb60940d588"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f1ed2bc5110>"
            ]
          },
          "metadata": {},
          "execution_count": 65
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "figure, axis = plt.subplots(2,2,figsize=(10,10))\n",
        "for i in range(2):\n",
        "  for j in range(2):\n",
        "    labels = {0:'south',1:'north', 2:'east', 3:'west'}\n",
        "    annot_text = np.vectorize(labels.get)(np.argmax(Qopt[2*i+j],axis=1).reshape(5,5))\n",
        "    ax = sns.heatmap(np.argmax(Qopt[2*i+j],axis=1).reshape(5,5),ax=axis[i,j],annot = annot_text,fmt='')\n",
        "    axis[i,j].set_title(\"Policy learnt (Fully learnt SMDP)) {}\".format(i*2+j))\n",
        "    c_bar = ax.collections[0].colorbar\n",
        "    c_bar.set_ticks([i for i in range(4)])\n",
        "    c_bar.set_ticklabels(['south','north','east','west'])\n",
        "   "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "id": "aH12pvxXvNtV",
        "outputId": "b687a2de-4c1f-4af0-ba87-4233d138e7b4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 8 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# IOQL"
      ],
      "metadata": {
        "id": "1V0fADGF6D6R"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def Sub(state, nPas = nPas, nDrop = nDrop):\n",
        "  _,_,pas,drop = env.decode(state) \n",
        "  subState = nDrop*pas+drop \n",
        "  return subState "
      ],
      "metadata": {
        "id": "PKfXluLdEQzN"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "#### Intra Option Q-Learning\n",
        "\n",
        "rewards3 = []\n",
        "T = 1\n",
        "goal = {0:[0,0],1:[0,4],2:[4,0],3:[4,3]}\n",
        "\n",
        "\n",
        "\n",
        "# Add parameters you might need here\n",
        "gamma = 0.9\n",
        "alpha = 0.1\n",
        "\n",
        "#Q-Table: (States x Actions) === (env.ns(48) x total actions(6))\n",
        "nX = 5; nY = 5; nPas = 5; nDrop = 4\n",
        "q_values_IOQL = np.zeros((nPas*nDrop,nO))\n",
        "updates_IOQL = np.zeros((nPas*nDrop,nO))\n",
        "\n",
        "Qopt = {i:np.zeros((env.nS//20,env.nA-2)) for i in range(nO)} #Q-values for each option\n",
        "\n",
        "\n",
        "eps = {i:0.01 for i in range(nO)}\n",
        "eps_min = 0.01\n",
        "eps_decay = 0.99\n",
        "eps_main = 0.5\n",
        "\n",
        "count = 0\n",
        "Neps = 1500\n",
        "\n",
        "# Iterate over Neps episodes\n",
        "for i in range(Neps):\n",
        "    state = env.reset()    \n",
        "    done = False\n",
        "    tot_rew=0\n",
        "\n",
        "    # While episode is not over\n",
        "    while not done:\n",
        "        \n",
        "        # Choose action  \n",
        "        _,_,pas,drop = env.decode(state) \n",
        "        subState = nDrop*pas+drop      \n",
        "        action = egreedy_policy(q_values_IOQL, subState, epsilon=eps_main)\n",
        "        eps_main = max(eps_min,eps_main*eps_decay)\n",
        "        \n",
        "\n",
        "        option = action\n",
        "        optdone = False\n",
        "        prev = state  \n",
        "        while not optdone and not done:\n",
        "            \n",
        "            # Think about what this function might do?\n",
        "            optact,optdone = Option(env,state,Qopt,option,eps[option])\n",
        "            next_state, reward, done,_ = env.step(optact)\n",
        "            \n",
        "            tot_rew+=reward\n",
        "\n",
        "            \n",
        "            #Option Policy Learning\n",
        "            [x,y,_,_]=  list(env.decode(state)) \n",
        "            [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "\n",
        "            \n",
        "\n",
        "            eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "            tot_rew+=reward\n",
        "            reward_surr = reward\n",
        "            if optdone:\n",
        "              reward_surr = 20\n",
        "            if optact<4:  \n",
        "              Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        "\n",
        "\n",
        "\n",
        "            #finding all options giving same action call\n",
        "            \n",
        "            for o in range(nO):\n",
        "              optact_o,optdone_o = Option(env,state,Qopt,o,eps[o])\n",
        "              if optact_o == optact:\n",
        "                eps[o] = max(eps_min,eps_decay*eps[o])\n",
        "                if optdone_o:\n",
        "                  q_values_IOQL[Sub(state), o] += alpha*(reward + gamma*np.max(q_values_IOQL[Sub(next_state), :]) - q_values_IOQL[Sub(state), o])\n",
        "                else:\n",
        "                  q_values_IOQL[Sub(state), o] += alpha*(reward + gamma*q_values_IOQL[Sub(next_state), o] - q_values_IOQL[Sub(state), o]) \n",
        "\n",
        "                updates_IOQL[Sub(state), o] += 1\n",
        "            state = next_state \n",
        "        \n",
        "    rewards3.append(tot_rew)\n",
        "    x,y,pas,drop = env.decode(state)\n",
        "    if pas==drop:\n",
        "      count+=1\n",
        "      clear_output(wait=True)\n",
        "      print('Success ({}/{}) = {}%'.format(count,i+1,100*count/(i+1)))\n",
        " \n",
        "        "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "313_XFpXhGCK",
        "outputId": "9236b7b5-d320-44a7-aa41-dd0846244d90"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Success (1473/1500) = 98.2%\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize = (10,5))\n",
        "avg_rews3 = [np.average(rewards3[i:i+100]) for i in range(len(rewards3)-100)]\n",
        "plt.plot(avg_rews3,label = 'Model Score')\n",
        "plt.plot([9.7 for i in range(len(avg_rews3))],label = 'Solved line')\n",
        "plt.xlabel('Episodes')\n",
        "plt.ylabel('score averaged over previous 100 runs')\n",
        "plt.title('IOQL over options with Q-learning Option policies')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 368
        },
        "id": "M-ZO17978jeA",
        "outputId": "9d0e8188-78bd-4cf4-d647-6a1142448490"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f1ed684d3d0>"
            ]
          },
          "metadata": {},
          "execution_count": 98
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "state = env.reset()    \n",
        "done = False\n",
        "tot_rew=0\n",
        "\n",
        "# While episode is not over\n",
        "while not done:\n",
        "    \n",
        "    # Choose action  \n",
        "    _,_,pas,drop = env.decode(state) \n",
        "    subState = nDrop*pas+drop      \n",
        "    action = egreedy_policy(q_values_IOQL, subState, epsilon=eps_main)\n",
        "    eps_main = max(eps_min,eps_main*eps_decay)\n",
        "    \n",
        "\n",
        "    option = action\n",
        "    optdone = False\n",
        "    prev = state  \n",
        "    while not optdone and not done:\n",
        "        \n",
        "        # Think about what this function might do?\n",
        "        optact,optdone = Option(env,state,Qopt,option,eps[option])\n",
        "        next_state, reward, done,_ = env.step(optact)\n",
        "        clear_output(wait=True)\n",
        "        print(env.render())  \n",
        "        time.sleep(T)\n",
        "        \n",
        "        tot_rew+=reward\n",
        "\n",
        "        \n",
        "        #Option Policy Learning\n",
        "        [x,y,_,_]=  list(env.decode(state)) \n",
        "        [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "\n",
        "        \n",
        "\n",
        "        eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "        tot_rew+=reward\n",
        "        reward_surr = reward\n",
        "        if optdone:\n",
        "          reward_surr = 20\n",
        "        if optact<4:  \n",
        "          Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        "\n",
        "\n",
        "        _ ,optdone_next = Option(env,state,Qopt,option,eps[option]) \n",
        "\n",
        "        #finding all options giving same action call\n",
        "        \n",
        "        for o in range(nO):\n",
        "          optact_o,optdone_o = Option(env,state,Qopt,o,eps[o])\n",
        "          if optact_o == optact:\n",
        "            eps[o] = max(eps_min,eps_decay*eps[o])\n",
        "            if optdone_o:\n",
        "              q_values_IOQL[Sub(state), o] += alpha*(reward + gamma*np.max(q_values_IOQL[Sub(next_state), :]) - q_values_IOQL[Sub(state), o])\n",
        "            else:\n",
        "              q_values_IOQL[Sub(state), o] += alpha*(reward + gamma*q_values_IOQL[Sub(next_state), o] - q_values_IOQL[Sub(state), o]) \n",
        "\n",
        "            updates_IOQL[Sub(state), o] += 1\n",
        "        state = next_state \n",
        "    \n",
        "rewards3.append(tot_rew)\n",
        "x,y,pas,drop = env.decode(state)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8V8sjqz8ACFk",
        "outputId": "9fdb3df6-a291-4663-ce78-b8c7404c679f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "+---------+\n",
            "|R: | : :G|\n",
            "| : | : : |\n",
            "| : : : : |\n",
            "| | : | : |\n",
            "|\u001b[35m\u001b[34;1m\u001b[43mY\u001b[0m\u001b[0m\u001b[0m| : |B: |\n",
            "+---------+\n",
            "  (Dropoff)\n",
            "None\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Qmax_IOQL = np.argmax(q_values_IOQL[:,-4:],axis = 1).reshape(5,4)\n",
        "\n",
        "figure, axis = plt.subplots(1, 1,figsize=(10,10))\n",
        "ax = sns.heatmap(Qmax_IOQL,ax=axis,xticklabels = [\"R\",\"G\",\"Y\",\"B\"],yticklabels = ['R','G','Y','B','Taxi'])\n",
        "c_bar = ax.collections[0].colorbar\n",
        "c_bar.set_ticks([i for i in range(10)])\n",
        "#c_bar.set_ticklabels(['south','north','east','west','pick up','drop','goto R','goto G', 'goto Y', 'goto B'])\n",
        "c_bar.set_ticklabels(['goto R','goto G', 'goto Y', 'goto B'])\n",
        "axis.set_xlabel('Drop off points')\n",
        "axis.set_ylabel(\"Passenger location\")\n",
        "axis.set_title('Policy over options learnt by Intra Options')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 639
        },
        "id": "9DPWkvRmD2xw",
        "outputId": "d2d926dd-fcf4-479d-e977-8227da6e0406"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Policy over options learnt by Intra Options')"
            ]
          },
          "metadata": {},
          "execution_count": 100
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 2 Axes>"
            ],
            "image/png": 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SFjVIs1RVWw/xupIkacup8kK6LZxnSZIkqYczeEuSNFaOWWpisiRJktTDZEmSpLFa4zNrrxaTJUmSpB42S5IkST08DCdJ0lg5wLuJyZIkSVIPkyVJksbKAd5NTJYkSZJ6mCxJkjRWjllqYrIkSZLUw2RJkqSxcsxSE5MlSZKkHiZLkiSNlWOWmpgsSZIk9TBZkiRprEyWmpgsSZIk9TBZkiRprDwbronJkiRJUg+TJUmSxsoxS01MliRJknrYLEmSJPXwMJwkSWPlAO8mJkuSJEk9TJYkSRorB3g3MVmSJEnqYbIkSdJYOWapicmSJElSD5MlSZLGyjFLTUyWJEmSepgsSZI0ViZLTUyWJEmSepgsSZI0VlWzrmBNMFmSJEnqYbIkSdJYOWapicmSJElSD5MlSZLGymSpicmSJElSD5MlSZLGymvDNTFZkiRJ6mGzJEmS1MPDcJIkjZUDvJuYLEmSJPUwWZIkaay83EkTkyVJkqQeJkuSJI2VY5aazG2z9Io97zvrEnQNHf6T42ddgq4Ff/Yk6ermtlmSJEkDM1lq4pglSZKkHiZLkiSNlZc7aWKyJEmS1MNkSZKkkaoF51lqYbIkSZLUw2RJkqSx8my4JiZLkiRJPUyWJEkaK8+Ga2KyJEmS1MNmSZIkqYeH4SRJGiunDmhisiRJktTDZEmSpLFy6oAmJkuSJEk9TJYkSRork6UmJkuSJEk9TJYkSRqr8my4FiZLkiRJPUyWJEkaK8csNTFZkiRJ6mGyJEnSWDmDdxOTJUmSpB4mS5IkjVU5ZqmFyZIkSVIPkyVJksbKMUtNTJYkSZJ62CxJkiT18DCcJEkjVU5K2cRkSZIkqYfJkiRJY+UA7yYmS5IkST1MliRJGisnpWxisiRJktTDZEmSpLFyzFITkyVJkqQeJkuSJI2V8yw1MVmSJEnqYbIkSdJYOWapicmSJElSD5MlSZLGynmWmpgsSZIk9TBZkiRprByz1MRkSZIkqYfNkiRJUg8Pw0mSNFLlpJRNTJYkSZJ6mCxJkjRWDvBuYrIkSZLUw2RJkqSxMllqYrIkSZLUw2RJkqSx8nInTUyWJEmSegzSLCV5SJKnTT3+YpKN3e3hQ+xTkiRtpoVavdsaNlSy9ELguKnH2wMHAPcFnrrck5IcluTUJKeectG3BypNkiSp3VDN0nZV9YOpxydW1c+r6vvATss9qarWV9X+VbX/ATvvM1BpkiQJoBZq1W5r2VDN0vWmH1TV06ce3nCgfUqSJG1xQzVLX0zypE0XJnkycPJA+5QkSZvDMUtNhpo64DnAh5I8GjitW3ZXJmOXHjrQPiVJkra4QZqlqvoZcM8k9wPu0C3+aFV9eoj9SZKka2DBeZZaDDopZdcc2SBJkqQ1y0kpJUmSeni5E0mSxmqND7xeLSZLkiRJPUyWJEkaK5OlJiZLkiRJPUyWJEkaqSqTpRYmS5IkST1MliRJGivHLDUxWZIkSWtOkkOT3HQztn9Skn+eerxrku8kudVKz7VZkiRprNb2hXQPBZqbJeBdwC2S3L97/Erg3VW1caUn2ixJkqSZS/KyJGcmOTHJMUme3y3fL8lJSc5IcmyS6yV5OLA/cHSS05PskOSgJF9O8tUk706y/fTr12Q0+1OANyfZHzgIeENLbTZLkiSNVC3Uqt2SHJbk1KnbYYt1JDkAeBiwL/BAJo3QoqOAF1XVnYGvAodX1QeAU4GDq2o/oIANwCOr6k5MxmQ/9f/3fqvOAD4OfAp4RlVd1vI52SxJkqTBVdX6qtp/6rZ+avW9gA9X1S+r6kLgIwBJdgN2r6oTuu2OBO6zxMvfFvhuVX1rhe0A3gH8qKqOb63ds+EkSRqrcZ4Nt9DdmpksSZKkWfsc8OAk65LsDDwIoKrOB85NcmC33SHAYsp0IbBLd/9MYO8k+yyx3bVmsiRJ0lhtVr4ynKo6JclxwBnA2UzGJp3frX4scESSHYGNwOO65Ru65ZcC9+iWvz/JNsApwBFbqj6bJUmSNA/eWFUv75qizwJfAqiq04G7b7pxVf0r8K9Tiz4F/PZKO6mq7wF33JzCbJYkSdI8WJ/k9sA64MiqOm3WBS2yWZIkaaRqjgZ4V9WjZ13DchzgLUmS1MNkSZKksZqjZGmemSxJkiT1MFmSJGms5mTqgHlnsiRJktTDZEmSpJGap7Ph5pnJkiRJUg+TJUmSxsoxS01MliRJknqYLEmSNFKOWWpjsiRJktTDZEmSpLFyzFITkyVJkqQeJkuSJI1UmSw1MVmSJEnqYbMkSZLUw8NwkiSNlYfhmpgsSZIk9TBZkiRppBzg3cZkSZIkqYfJkiRJY2Wy1MRkSZIkqYfJkiRJI+WYpTYmS5IkST1MliRJGimTpTYmS5IkST1MliRJGimTpTYmS5IkST3mNll6+v3OnnUJuoaezm/NugRdCzc4+vhZl6Br4ecH+/OnzVCZdQVrgsmSJElSj7lNliRJ0rAcs9TGZEmSJKmHzZIkSVIPD8NJkjRSteAA7xYmS5IkST1MliRJGikHeLcxWZIkSephsiRJ0kiVk1I2aWqWkmwN3Hh6+6r6/lBFSZIkzYsVm6UkzwAOB84GFo9uFnDnAeuSJEkDc8xSm5Zk6VnAbavq50MXI0mSNG9amqUfAOcPXYgkSVpdzrPUpqVZ2ggcn+SjwK8WF1bVmwarSpIkaU60NEvf727bdTdJknQdUDXrCtaGFZulqnoFQJKdu8cXDV2UJEnSvGg5G+6OwHuA63ePzwH+vKq+PnBtkiRpQI5ZatMyg/d64LlVtVdV7QU8D/j7YcuSJEmaDy1jlnaqqs8sPqiq45PsNGBNkiRpFZgstWk6Gy7Jy5gcigN4DJMz5CRJkq7zWg7DPR64IfDB7nbDbpkkSdJ1XsvZcOcCz1yFWiRJ0ipy6oA2yzZLSd5cVc9O8hEm14K7mqr6k0ErkyRJmgN9ydLiGKU3rkYhkiRpdTnAu82yzVJVfam7u19VvWV6XZJnAScMWZgkSdI8aBng/dgllh26heuQJEmrrCqrdlvL+sYsPQp4NHDLJMdNrdoF+MXQhUmSJM2DvjFLnwd+AuwB/M3U8guBM4YsSpIkDa8WZl3B2tA3Zuks4CzgHqtXjiRJ0nxpuZDu3YG3Ab8FbAdsDVxcVbsOXJskSRrQwhofS7RaWgZ4vx14FPDfwA7AE4F3DFmUJEnSvGhplqiqbwNbV9WVVfWPwAOGLUuSJA3Ns+HatFxI95Ik2wGnJ3k9k0HfTU2WJEnSWtfSLB3CpDl6OvAc4BbAw4YsSpIkDc8ZvNu0NEvnAJdV1S+BVyTZGth+2LIkSZLmQ8vhtE8BO0493gH4j2HKkSRJq6Vq9W5rWUuztK6qLlp80N3fsWd7SZKk64yWZuniJHdZfJDkrsClw5UkSZI0P1rGLD0beH+SHwMBbgI8ctCqJEnS4Bzg3WbFZqmqTklyO+C23aIzq+ryYcuSJEmaDy2XO9kWeCpwn27R8Un+zoZJkqS1zcudtGk5DPdOYFvgb7vHh3TLnjhUUZIkSfOipVk6oKr2nXr86SRfGaogSZK0Otb6ZUhWS8vZcFcmufXigyS3Aq4criRJkqT50ZIsvQD4TJKNTM6G2wt43KBVSZKkwa31ySJXS8vZcJ9K8ptc/Wy4Xw1bliRJ0nxYtllK8qfLrNonCVX1wYFqkiRJq8Cz4dr0JUsP7llXgM2SJEm6zlu2WaoqxyVJknQd5tlwbVrOhpMkSRqtlrPhJEnSdZBnw7XpTZaSbJXknqtVjCRJ0rzpbZaqagF4x+a8YJKPJdn7WtQkSZJWwUJl1W5rWcuYpU8leViS1nf6j8AnkvxVdxFeSZKkNaulWXoy8H7gsiQXJLkwyQXLbVxV7wfuAuwKnJrk+Umeu3jr21GSw5KcmuTUDWf+aHPehyRJ2kxVWbXbWtYyg/cu1+B1LwMuBrYHdgEWWp5UVeuB9QDnP+7+DjuTJEkzt2Kz1B1+Oxi4ZVW9KsktgD2r6uRltn8A8CbgOOAuVXXJlixYkiRpNbVMHfC3TJKh+wGvAi5iMuj7gGW2/yvgEVX19S1SoSRJGsRaH3i9WlqapbtV1V2SfBmgqs5Nst1yG1fVgVusOkmSpBlraZYuT7I1k+vBkeSGNI5BkiRJ88vBwW1azoZ7K3AscKMkrwFOBF47aFWSJElzouVsuKOTfAk4CAjw0Kr6xuCVSZKkQTlmqU3L2XDXB34GHDO1bNuqunzIwiRJkuZBy5il04BbAOcySZZ2B36a5GzgSVX1pQHrkyRJA1nrk0WulpYxS58E/qiq9qiqGwAPBP4N+Asm0wpIkiRdZ7U0S3evqo8vPqiqTwD3qKqTmMzQLUmS1qCFVbytZS2H4X6S5EXAP3WPHwmc3U0nsNbfvyRJUq+WZunRwOHAh7rHn+uWbQ382UB1SZKkgRWOWWrRMnXAOcAzlln97S1bjiRJ0nxpmTrgNsDzgb2nt6+q+w1XliRJGtqCU3g3aTkM937gCOBdwJXDliNJkjRfWpqlK6rqnYNXIkmSVtWCY5aatEwd8JEkf5FkzyTXX7wNXpkkSdIcaEmWHtv9+YKpZQXcasuXI0mSNF9azoa75WoUIkmSVpdTB7RZ8TBckh2TvDTJ+u7xbyZ50PClSZIkzV7LmKV/BC4D7tk9/hHw6sEqkiRJq8LLnbRpaZZuXVWvBy4HqKpLwNxOkiSNQ8sA78uS7MBkUDdJbg38atCqJEnS4Byz1KalWToc+HfgFkmOBu4FHDpkUZIkSfOi5Wy4TyY5Dbg7k8Nvz+quFydJktawtT6WaLW0nA13L+CXVfVRYHfgJUn2GrwySZKkOdAywPudwCVJ9gWeC3wHOGrQqiRJ0uA8G65NS7N0RVUV8BDgHVX1DmCXYcuSJEmaDy0DvC9M8mLgMcB9kmwFbDtsWZIkaWieDdemJVl6JJOpAp5QVT8Fbg68YdCqJEmS5kRTsgS8paquTHIb4HbAMcOWJUmShrZgsNSkJVn6LLB9kpsBnwAOATYMWZQkSdK8aEmWUlWXJHkC8LdV9fokXxm6MEmSNKwFxyw1aUmWkuQewMHARzfjeZIkSWteS9PzLODFwLFV9fUktwI+M2xZkiRJ86HlciefZTJuafHxRuCZQxYlSZKGV7MuYI1YsVlKckPghcAdgHWLy6vqfgPWJUmSNBdaDsMdDXwTuCXwCuB7wCkD1iRJklaBlztp09Is3aCq/gG4vKpOqKrHA6ZKkiRpFFqmDri8+/MnSf4Y+DFw/eFKkiRJq2EhTh3QoqVZenWS3YDnAW8DdgWeM2hVkiRJc2LZZinJOuApwD7AzYB/qKrfW63CJEnSsDwbrk3fmKUjgf2BrwIPBP5mVSqSJEmaI32H4W5fVXcCSPIPwMmrU5IkSVoNa/0stdXSlywtDuymqq5YhVokSZLmTl+ytG+SC7r7AXboHgeoqtp18OokSdJgFjwZrsmyzVJVbb2ahUiSJM2jlqkDJEnSddACRkstWmbwliRJGi2TJUmSRsp5ltqYLEmSJPWwWZIkSeoxt4fhdnzD+lmXII3SpW+YdQW6Nna46YGzLkHXwhX/uLr7c+qANiZLkiRJPeY2WZIkScPycidtTJYkSZJ6mCxJkjRSTh3QxmRJkiSph8mSJEkj5dlwbUyWJEmSepgsSZI0Up4N18ZkSZIkqYfJkiRJI2Wy1MZkSZIkqYfJkiRJI1WeDdfEZEmSJKmHyZIkSSPlmKU2JkuSJEk9bJYkSZJ6eBhOkqSR8jBcG5MlSZKkHiZLkiSNVM26gDXCZEmSJKmHyZIkSSO14KSUTUyWJEmSepgsSZI0Up4N18ZkSZIkqYfJkiRJI2Wy1MZkSZIkqYfJkiRJI+U8S21MliRJknqYLEmSNFLOs9TGZEmSJKmHyZIkSSPl2XBtTJYkSZJ62CxJkiT1sFmSJGmkahVvW1qSQ5Pc9Bo877lJvpnkq0m+kuRNSbbte47NkiRJWosOBTarWUryFOAPgLtX1Z2AA4CfATv0Pc8B3pIkjdTCHE1LmeRlwGOA/wF+AHypqt6YZD/gCGBH4DvA44GDgP2Bo5NcCtwDuCfwRia9zSnAU6vqV5vs5q+A+1TVeQBVdRnw1yvVZrIkSZIGl+SwJF/wfeEAAA9cSURBVKdO3Q6bWncA8DBgX+CBTBqhRUcBL6qqOwNfBQ6vqg8ApwIHV9V+TI70bQAe2SVG2wBP3WT/uwI7V9V3N7d2myVJkkZqYRVvVbW+qvafuq2fKuVewIer6pdVdSHwEYAkuwG7V9UJ3XZHAvdZ4q3cFvhuVX1rhe2ukuQPk5ye5HtJ7tm3rc2SJEm6zquqC4CLktyye/zxLpX6GrBd33NtliRJGqk5Ohvuc8CDk6xLsjPwIICqOh84N8mB3XaHAIsp04XALt39M4G9k+yzxHbTXge8M8nuAEkCrFupOAd4S5KkmaqqU5IcB5wBnM1kbNL53erHAkck2RHYCDyuW76hW744wPtxwPuTLA7wPmKJXb0T2An4YpJfARcxadS+3FdfquZnJPy0y8/ZOJ+FSdIc2+GmB668kebWFZf9aFUvbfvyvQ5etd+1Lz/r6N73lmTnqrqoa4o+CxxWVaetTnX9TJYkSdI8WJ/k9kwOix05L40S2CxJkjRaC6uaY/WrqkfPuoblOMBbkiSph8mSJEkjNU8zeM8zkyVJkqQeJkuSJI2UuVIbkyVJkqQeNkuSJEk9PAwnSdJILcy6gDXCZEmSJKmHyZIkSSPl1AFtVi1ZSrJHd3VfSZKkNWOQZinJ3ZMcn+SDSX47ydeArwFnJ3lAz/MOS3JqklPfddQxQ5QmSZI6tYq3tWyow3BvB14C7AZ8GnhgVZ2U5HbAMcC/L/WkqloPrAe4/JyNa/2zlSRJ1wFDNUvbVNUnAJK8sqpOAqiqb3okTpKk+eDZcG2GGrM0/flfusk6EyNJkrRmDJUs7ZvkAiDADt19usfrBtqnJEnaDJ4N12aQZqmqth7idSVJklab8yxJkjRS5kptnMFbkiSph8mSJEkj5dlwbUyWJEmSepgsSZI0UuWopSYmS5IkST1sliRJknp4GE6SpJFygHcbkyVJkqQeJkuSJI2UlztpY7IkSZLUw2RJkqSRMldqY7IkSZLUw2RJkqSRcsxSG5MlSZKkHiZLkiSNlPMstTFZkiRJ6mGyJEnSSHkh3TYmS5IkST1MliRJGinHLLUxWZIkSephsiRJ0kg5ZqmNyZIkSVIPmyVJkqQeHoaTJGmkHODdxmRJkiSph8mSJEkjtVAO8G5hsiRJktTDZEmSpJEyV2pjsiRJktTDZEmSpJFaMFtqYrIkSZLUw2RJkqSR8nInbUyWJEmSepgsSZI0Us7g3cZkSZIkqYfJkiRJI+XZcG1MliRJknqYLEmSNFKeDdfGZEmSJKmHzZIkSVIPD8NJkjRSTh3QxmRJkiSph8mSJEkjVeUA7xYmS5IkST1MliRJGiknpWxjsiRJktTDZEmSpJHybLg2c9ss7XDTA2ddgq6hV+x531mXoGvh6fc7e9Yl6Fq49Mf/OesSpOucuW2WJEnSsLzcSRvHLEmSJPUwWZIkaaQ8G66NyZIkSVIPkyVJkkbKGbzbmCxJkiT1MFmSJGmknGepjcmSJElSD5MlSZJGynmW2pgsSZIk9bBZkiRJ6uFhOEmSRspJKduYLEmSJPUwWZIkaaSclLKNyZIkSVIPkyVJkkbKMUttTJYkSZJ6mCxJkjRSTkrZxmRJkiSph8mSJEkjteDZcE1MliRJknqYLEmSNFLmSm1MliRJknqYLEmSNFLOs9TGZEmSJKmHyZIkSSNlstTGZEmSJKmHzZIkSVIPD8NJkjRS5aSUTUyWJEmSepgsSZI0Ug7wbmOyJEmS1MNkSZKkkSqTpSYmS5IkST1MliRJGinPhmtjsiRJktTDZEmSpJHybLg2JkuSJEk9TJYkSRopxyy1MVmSJEnqYbIkSdJIOWapjcmSJElSD5MlSZJGyhm825gsSZIk9bBZkiRJ6uFhOEmSRmrBqQOabPFmKcn9qurTSf50qfVV9cEtvU9JkqShDJEs/S7waeDBS6wrwGZJkqQ54ADvNlu8Waqqw7s/H7elX1uSJGm1DTbAO8l7kuw29XivJJ8aan+SJGnzLFSt2m0tG/JsuBOBLyb5oyRPAj4JvHnA/UmSJG1xg50NV1V/l+TrwGeAc4DfrqqfDrU/SZK0eRyz1GbIw3CHAO8G/hzYAHwsyb5D7U+SJGkIQ86z9DDg3lX1M+CYJMcCRwL7LfeEJIcBhwFk693YaqudBixPkqRxW+tjiVbLkIfhHrrJ45OT/M4Kz1kPrAfYZrub+Q1KkqSZG6xZSrIOeAJwB2Dd1KrHD7VPSZLUzjFLbYY8G+49wE2APwROAG4OXDjg/iRJkra4IS53sk1VXQHsU1WPSPKQqjoyyfuA/9zS+5MkSdeMY5baDJEsndz9eXn353lJ7gjsBtxogP1JkiQNZsiz4dYnuR7wUuA4YGfgZQPuT5IkbQbHLLUZolm6UZLndvcXrw/3ju5P5wKQJElryhDN0tZMUqQssc4WVpIkrSlDNEs/qapXDvC6kiRpC6pamHUJa8IQA7yXSpQkSZLWpCGSpYMGeE1JkrSFLTg6pskWT5aq6hdb+jUlSZJmZcipAyRJ0hwrJ6VsMuTlTiRJktY8kyVJkkbKMUttTJYkSZJ6mCxJkjRSjllqY7IkSZLUw2RJkqSRWjBZamKyJEmS1MNkSZKkkSrPhmtisiRJktTDZEmSpJHybLg2JkuSJEk9bJYkSZJ6eBhOkqSR8nInbUyWJEmSepgsSZI0Ug7wbmOyJEmS1MNkSZKkkfJyJ21MliRJknqYLEmSNFKOWWpjsiRJktTDZEmSpJFynqU2JkuSJEk9TJYkSRopxyy1MVmSJEnqYbIkSdJIOc9SG5MlSZKkHiZLkiSNVHk2XBOTJUmSpB42S5IkST08DCdJ0kg5wLuNyZIkSVIPkyVJkkbKSSnbmCxJkiT1MFmSJGmknDqgjcmSJElSD5MlSZJGyjFLbUyWJEmSepgsSZI0UiZLbUyWJEnSmpPk0CQ33cznbEjy3SSnJ/lKkoNanmezJEnSSNUq3gZwKLBZzVLnBVW1H/Bs4IiWJ9gsSZKkmUvysiRnJjkxyTFJnt8t3y/JSUnOSHJskusleTiwP3B0lxLtkOSgJF9O8tUk706y/Qq7/AJws5ba5nbM0hWX/SizrmFISQ6rqvWzrkPXjN/f2uV3t7b5/W1Zq/m7NslhwGFTi9YvfpdJDgAeBuwLbAucBnyp2+4o4BlVdUKSVwKHV9WzkzwdeH5VnZpkHbABOKiqvpXkKOCpwJt7SnoA8KGW2k2WZuewlTfRHPP7W7v87tY2v781qqrWV9X+U7fppvdewIer6pdVdSHwEYAkuwG7V9UJ3XZHAvdZ4uVvC3y3qr61wnYAb0jyLeB9wP9pqd1mSZIkjckLquo2wIuAd7c8wWZJkiTN2ueABydZl2Rn4EEAVXU+cG6SA7vtDgEWU6YLgV26+2cCeyfZZ4ntlvN2YKskf7hScXM7ZmkEPOa+tvn9rV1+d2ub3991UFWdkuQ44AzgbOCrwPnd6scCRyTZEdgIPK5bvqFbfilwj275+5NsA5zCCme6VVUleTXwQuDjfdvGCakkSdKsJdm5qi7qmqLPAodV1WmzrgtMliRJ0nxYn+T2wDrgyHlplMBkSZIkqZcDvFdZkiu7CbS+luQjSXafdU1qk+TGSd6XZGOSLyX5QpL/Neu6tLJMnJjkgVPLHpHk32dZl9pM/bv5lSSnJbnnrGvSuNgsrb5Lq2q/qroj8AvgabMuSCtLEiaTl322qm5VVXcF/jdw89lWphY1idCfArxp6myb1+LP31qx+O/mvsCLgdfNuiCNi2OWZusLwJ1nXYSa3A+4rKquOruiqs4C3ja7krQ5quprST7CZG6VnYCjquo7My5Lm29X4NxZF6FxsVmakSRbAwcB/zDrWtTkDkym39fa9gom3+NlTK4rpbVhhySnMxn4uyeT/7xIq8ZmafUt/tDfDPgG8MkZ16NrIMk7gHszSZsOmHU9alNVFyf5Z+CiqvrVrOtRs0u7q8ST5B7AUUnuWJ6hpFXimKXVt/hDvxcQHDOxVnwduMvig6p6GpNk8IYzq0jX1EJ30xpUVV8A9sCfPa0im6UZqapLgGcCz+tmG9V8+zSwLslTp5btOKtipLFKcjtga+Dns65F4+Ev6Rmqqi8nOQN4FPCeWdej5XXT4j8U+L9JXgj8D3Axk8HCkoa1OHwBJon8Y6vqylkWpHFxUkpJkqQeHoaTJEnqYbMkSZLUw2ZJkiSph82SJElSD5slSZKkHjZL0oxNXVH9691V1Z+XZFV/NpM8M8k3khydZPsk/9HV9Mhr+bp/kuQvV9hm7ySPvjb7kaQhOXWANGNJLqqqnbv7NwLeB3yuqg7fZLttquqKgWr4JnD/qvphkrsDr66q+w+xryX2fV/g+VX1oNXYnyRtLpMlaY5U1c+Aw4CnZ+LQJMcl+TTwqSTXT/KhJGckOSnJnQGSvDzJe5J8Icl/J3nSUq+f5LlJvtbdnt0tOwK4FfD/krwIeC9wQJcs3XqT5x+f5C3duq8l+Z1u+XJ1HZrk7d39DUnemuTzSTYmeXj3sn8NHNi95nOS3CHJyd3jM5L85hb+mCVpsziDtzRnqmpjkq2BG3WL7gLcuap+keRtwJer6qFJ7gccBezXbXdn4O7ATsCXk3y0qn68+LpJ7go8Drgbk1mQv5jkhKp6SpIHAL9XVeck+SL9Sc+OVbVfkvsA7wbuCLyip65pezK5APHtgOOADwB/Ob2/7j2+paqOTrIdk0tbSNLMmCxJ8++TVfWL7v696S6NU1WfBm6QZNdu3Yer6tKqOgf4DPA7m7zOvYFjq+riqroI+CBw4DWo55hu/58Fdk2y+wp1TftQVS1U1X8BN17m9b8AvKRLufaqqkuvQY2StMXYLElzJsmtgCuBn3WLLm586qYDEIcakHht9vOrqftZ8sWr3gf8CXAp8LEuqZKkmbFZkuZIkhsCRwBvr6XPvvhP4OBu2/sC51TVBd26hyRZl+QGwH2BU5Z47kOT7JhkJ+B/dcs21yO7/d8bOL+qzl+hrpVcCOyy+KBrFjdW1VuBDzM5vChJM+OYJWn2Fq+ovi1wBZPDWW9aZtuXA+9OcgZwCfDYqXVnMDn8tgfwqunxSgBVdVqSDcDJ3aJ3VdWXr0G9v0zy5a7exzfUtZIzgCuTfAXYAGwPHJLkcuCnwGuvQY2StMU4dYB0HZDk5cBFVfXGgfdzPJPB2KcOuR9JmicehpMkSephsiRJktTDZEmSJKmHzZIkSVIPmyVJkqQeNkuSJEk9bJYkSZJ6/H/Vaf1oaDXayQAAAABJRU5ErkJggg==\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Qmax_IOQL = np.argmax(q_values_IOQL,axis = 1).reshape(5,4)\n",
        "labels = {0:'goto R',1:'goto G', 2:'goto Y', 3:'goto B'}\n",
        "annot_text = np.vectorize(labels.get)(Qmax_IOQL)\n",
        "\n",
        "figure, axis = plt.subplots(1, 1,figsize=(10,10))\n",
        "ax = sns.heatmap(Qmax_IOQL,ax=axis,xticklabels = [\"R\",\"G\",\"Y\",\"B\"],yticklabels = ['R','G','Y','B','Taxi'],annot = annot_text, fmt = '')\n",
        "c_bar = ax.collections[0].colorbar\n",
        "c_bar.set_ticks([i for i in range(10)])\n",
        "\n",
        "c_bar.set_ticklabels(['goto R','goto G', 'goto Y', 'goto B'])\n",
        "#c_bar.set_ticklabels(['south','north','east','west','pick up','drop'])\n",
        "axis.set_xlabel('Drop off points')\n",
        "axis.set_ylabel(\"Passenger location\")\n",
        "axis.set_title('Policy over default actions learnt by Intra Options')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 639
        },
        "id": "PXf-iNewMocK",
        "outputId": "334d90af-a66d-4d52-c882-56e5551a5f3d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Policy over default actions learnt by Intra Options')"
            ]
          },
          "metadata": {},
          "execution_count": 101
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "figure, axis = plt.subplots(2,2,figsize=(10,10))\n",
        "for i in range(2):\n",
        "  for j in range(2):\n",
        "    labels = {0:'south',1:'north', 2:'east', 3:'west'}\n",
        "    annot_text = np.vectorize(labels.get)(np.argmax(Qopt[2*i+j],axis=1).reshape(5,5))\n",
        "    ax = sns.heatmap(np.argmax(Qopt[2*i+j],axis=1).reshape(5,5),ax=axis[i,j],annot = annot_text,fmt='')\n",
        "    axis[i,j].set_title(\"Policy learnt (Fully learnt IOQL)) {}\".format(i*2+j))\n",
        "    c_bar = ax.collections[0].colorbar\n",
        "    c_bar.set_ticks([i for i in range(4)])\n",
        "    c_bar.set_ticklabels(['south','north','east','west'])\n",
        "   "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "id": "n2XLIyxST3xd",
        "outputId": "5164ba5c-9112-4015-b98f-41d000213447"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 8 Axes>"
            ],
            "image/png": 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\n"
          },
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            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize = (20,10))\n",
        "plt.plot(avg_rews0,label = 'Fully deterministic')\n",
        "plt.plot(avg_rews1,label = 'Qlearning on Policy options')\n",
        "plt.plot(avg_rews2,label = 'SMDP')\n",
        "plt.plot(avg_rews3,label = 'IOQL')\n",
        "plt.plot([9.7 for i in range(len(avg_rews2))],'--',label = 'Solved score line (9.7)')\n",
        "plt.xlabel('Episodes')\n",
        "plt.ylabel('score averaged over previous 100 runs')\n",
        "plt.title('Various learning models')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 639
        },
        "id": "VLjs1LtrHltY",
        "outputId": "dc60dbc1-448d-4234-f045-e85c36350ed1"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f1ed014d9d0>"
            ]
          },
          "metadata": {},
          "execution_count": 103
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x720 with 1 Axes>"
            ],
            "image/png": 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To+bWqHaquKGLH/ooVNR5DV8NMJrKZCA1wGJ9kYSVYCg1hGM6fP+e7+f9u99P1smy0d4g0AE9iVtnun2zVdoVHNMhaSfvyvZfT8Nr8OzSs+zK7cIxHbrj3STtJEEYEOqQVtDCCzwubFzgYvkiy41l/NDnHQPv4GDPQWpubbsz/vTi0+zK7mI8P07drTNZmGS9vY5lWBTiBRpug7Pls5xZP0O5VSZhJeiKd/Hene9lZ24nbuAyWZgkbsYJdIBjOnf78Lzt+evr1D79GToXL+CXN/DXSsT27MFwYlFwZ7MGQOuVE4TV6uuuS8XjGMkkutPB6u8n2Ngg2Ni4vYYYBkYiQdhooOJxYnsnie/dB6ZB65UT2H19KMehffECiQMHMPN56s98FW9hYTv9XSUS13Uyb1w/YYjZ1RU9pHBdnLExEvcfpvHsc/jF4s2L5HLRPts2XR/+MM7EOP5qkbDZBCC+by/24CBBtYr2POIHDuAP9lBavEz53AlUaZ3MRod4qUbywEHi+/djdvegFHirq3QuXMAsFOhcuoxfXMXIZvGXVzCyGbTvE5/ciz0yTNhqkX7sMcx8Hm9lBSOdQdkWncuX8YtFNr/wBfADko88QuX3f5/WyZPEJiexBwexenu3H854CwtgWSSOPIDd14ezazfa8wh29LM6mET197Azu5OYtlhurBCfWUJ/5kvoTpuO28ZPxagloZmy6N7/AM7hQxRbReZrc7SnLrO/az97rWHmNucopxX5oTF2hnlirqZ9/gLe4iIq5hCsrxM2mijbInHkKPGDBzHzOdpnzxJUKrReOYFfLEb7u7wMClIPP0LYaJB44AGSxx4kqNUwC4U3VSrxrS6oN/CLRWK7d73mPGG7jRGPs95aZ6G+wGhmFMdweGn1JZ5dfpbnl59Ha013opuRzAg5J4dt2pwonuD5lecBUChGM6Ps7dpLwkrgmA6Lm4t4oUfVrRIzYpxeP/2G7bWUxURhgqbXpB20+cjBj3Cw5yAAxWaR6eo0Q+khFIrV5iovrrzI6bXTVDqV7XUoFJrXvn9KWAlsw6bm1m73MGIqk2P9x5goTFDtVCk2i5TbZR4beozDvYdpB2164j2sNlfZmd3JeH5cAlP3CO15tE6coH3hAp0LF+lcuEBnZgYjnSLz7nfjTExgdfegHBszm8Uvlwk367TPnwM/wOrr3XqInSFst3CnZ2ifOUPYbuPs3ElsYoLCj3wYq1DAXViMrjO7xt7wPOWtrBBUa8QmxrcDJ0YqBZ6Hcl7tB2mtaR0/jl/eQLdbJO6/P3rDsrGHh265Ha01ut2OrrGx2J08nOgwRBk3DyOtgwC/VMIvrRGb3HNb29VBQP1LX2Lz81/AnZvDyKTpXLhIUC6jXXd7vsTRo5iZDGZPN8owUbZN4cM/TGxiAu15aK0JymXqTz9N++xZdLuDkYhj5HIYjkPykUcwczmcXbu+Ja8fSqmXtNbHbpougSZxNwS1Gq0TJ2idPImybJwdo9gjo1g93firq3irReL37cMeGEA5Dlpryr/zu6z9xm9EJ0fPA8PA6uvDnZnZPlkox0H7/k31sWahgJnP44zvJr53H7nv/R6csbHbbm8n6HBp4xI9iR6yThaz0Wbt4ilKwymmm3O8c/id9CZ7CXWIoa4/OXqBx8WNi8zUZrhfjWK3AypuFevnfhXv7HnIZ9Hf9QQ7v+uDtM+cwRoYIPOe90RP6e8RLb9FsVlktbHKF+a+wPnyeSzDYnduN2utNSYLkwQ6YKoyxXR1mobbYE9hDxudDXbndm931obTw9TcGpvu5htuszfRy0cOfYQXV14kZaeYq83xSumVm+Z75/A78UKPtt+m5beYrk7Tm+hlLDdGPpZnqjJFwkqw0lyh4TbIWxnyVoZkKk/cU2TLbaxmh77xg4wlRsi+dIncl0/gbWyg6k1M26G4t4cTR/KsUedsawYvZjIU62MlrFDKwe78bixlkYvleN+u9/Hene8lbsWva+dr1XmHOkRrjRd6OKbDpY1LUdBNB6y31rENG8MwGEmPMJIZ2V7u4+c+zr978d+RslIU4gU23U0mC5Mk7ASVdoWknWS2NstIZoSx7Bhtv41GEzNj5GI5LMPCVCb9yX6UUiSsBGutNfqT/RjKoCfRw2hmlHwsf8t2e2H0vbaUhUaz6W6iUFQ7VT5z5TN8ef7LtIP29vyO4dCb7KXSqdDwGjetL21HZad1r37TewOpAYrNIqGO/q5zdc0D05pTYwozhLUcGMrkQXawr5wgvl5ns1XBrVVpORDzIDSg1Oeg/IDuIMH9yUmclofpBqTyvRgPHOCit8hEJ0d+wyPWCUkMjZIYHiWf6QHTwuoqRIGFLWY+j5FI3NTetxOtNfUvf5n2yZNRZ8v18FZXsQcGQIcE1RpYJv7SMu7sLEYuizJM2ufOQRBEwfbubqzubjqXL0MQRB2zdArtuiQO30/ue7+H+H33UX/6GcxsBjOfp3X6NMowiO3dR3zvZNQ5vkbYbuOvrOCtrKI7bXQQEDYahI0GweYmZjpN6rHHsIeHwTDQrRYqFrvtJ4lhu407O0frxCu4U1MYmSx+qUTi0EGs3l4wLRKHD2EkEtT+4i9oPP0MZi6HPTxE5U/+BL9YInn0KM7uXdhDQ5jZXPS6vx8zl6MzNcXy//EztF56aXubKh6HMLyu83tVMwbxzvW/4LKZUGRar92HCxW0EiaJVkCzJ0WqGUbXz41rAnumiT04GAWLbmRZGLEYYaOBl01Semwf3WsdYpUmrG1g2Db2nnEWkm3cxibdVyo4azUM9/qM4EoKkm1wAggUmBo6tqKdMPG0T7oN8WsWacSgEY/+bnPNW+wXr/FLNraNmUwSdjrRDZBSUZ9g6+GOchysnh68UglnZISg0yZYWt5eXMVi6E6H9Ld/O9n3vQ9lmYTtNrrdoXNlhs0XXyA2OETqyFGSD70DNdjP+XCJmlvjaN9RAKpulbnaHM3NMvvb3fTfdxTDufuBbTdwqbk1Gl6D/mQ/cSseXXcWl2ifOom7sEB8chJnfAK/WMQe6EfZNkYqFQV5tY6yCXM5mi8eZ+PznyOcW8CdvYK/dQybx/bh7d1JsrhJRwXUysvElspYviZXbNBImqgg4KVxxce+3aCajq4ruQY82R5n7f5RNmpFFjurbHhVgjBgKD3EB8Y/wJ7CHh4beuwNH6pU2hXqXh03cOkEHdbb6yStJIV4gRdXXsQyLM6Xz7NUXyJpJ1ncXOTk2snXXedEfoI9hT08Nf4UPYkeam6NQz2HCHVIuV3m4sZFjg0co+W1+OrSV1msL9LyW3T8DuP5cfKxPPOb8yilyDk5uhPddMW7GEoPselucnz1OLZhs1Rf4i/n/pLV5iq5WI6+ZB+2YfPCygu3bFfGyfDR7/wo+7r2fQPfiG9t2nXBNLevB2G7HV0fbtHX6UxP46+tYQ8NU/nkH+HNzuJemcWvbGDE4qhYlGkbrK8D0YOE+OQkzsQ4wdo69aefjs5Ht6DicVDq5gcZtk3ygQdAa7zVVbzFRVAKq7d3uyzLyGQgDInt3YvV10fYbGB1dUfB/8VFVCKONzsXzZvNEjYa21k3hCHxgwfJ/8AH6Vyeovqnf0pYv7nvBYBpkjjyALFdu9BhCDp6wN8+exZvfh6A2J49OGM7sYeGyb7/u4nv3x89ePF9dBBgxGKY+Txhs4lfLGJks5j5fHRd3rrX0a5L5+Il1n7jN6g//TTm1f2bmIjOVctL+KtFCILo2MViOGNjqFgMM5cDrTHSacxCnvjkJJt/+Ve4c7P4K6voTid6gDDQC8023t4xukbGSd7/AK3WJtmJfSQOHsAPfTQa24gyd2/Vb296W5mUWw8s3+wYTm9XEmgSd02wuUnts59FGQbaD6Ia1t/8zajzp9SrJ77XYGQyAISbm8TvP0x87z6UbaN9H295idiuXaTe+S6050ZR+K0/eN1sEjabqHgcZ3T0TbW52Cyy6W7SCTpcqV7hV77+Kyw3os7U1UDS1ZteiJ6QxawYDa/BeG6cx4Yfo9KpMFub5dz6Odzw5hsHtGZiCZ56PuQdFzXGNYfBGBki/+R3YXV34xdXab78SpT1pDVBfZNgvYwzPo7XahC2mpj5PJtZm0s9Ht6Ofpxqi81KkRV/ndErLQaW2ziFLlQ6hf2OB9n0N/n6UIf1YJMRL02I5mD3ATbdOjObV9gcyBDaJpZhcaV6hZeLL+OGLran6XPjHHJ2MdcLF6qXGE5HT5oNZbAjs4Px/DhxK8659XPkYjlma7MkrSRPjD7BmbUz9CZ7eWr8KbriXTimQ92r44c+poq2ZxkWK40VfvrLP02gA/qT/TS8BmPOIO8dey+7eveS+NJxdrYzBPk0mVQXiQfup336NO6VK9GFbHUVHYRRVlsuh5nJYKTSuLOzVP/szwjrdczuru0O8o3i+/dj79iBmcsRtprU/+pL0dOgW2inHUrDKaoFh9PDAc93bZAP4xzI78O7dJlUIyTVCknXPDaO7iK9VOVKvM5gzWCx3+Z8ts58IaBjR8GYW35XtoxlxxhOD5N20nxh9gsc6DnAjswOAh2QtJK8tPoSjumQj+WpdqrsyO7gZOkkNbeGbdjEzBiBDqh1avjaf6M/AwAydobDvYfpTfbiGA5XaldYqi9R7VTZ9G59TLriXTy580neM/wulr/4GZyRUS6l67gL89BdIFfoJ24lMJXJ3q69TBYmKcQLBGHAqbVTzFRnyDpZ+lP9xMwYE/kJ1ttRWaO1WmbpI38fe3lte3s6k8LwA3Tr1p251+Na4NzeobiJNhQ6HqPaFaPZlyFTamDu2kk8nWfoie8kvmMniQMHrnty+GZ5i4vR0z3TxMzn2fjEJyAIiE1OYqTSUdlvq7nV+VSk3/VOrMHB6zo+2vfBMKJzcBjiLS7izc/jb2zgLy9jpFJ0Lk/RfOGFKHun3QbTxOrtwb08hbe0FAXYlEJZFvbAAN7qKgRBtG+WhdXVFXUuG43tLJzs97yf+OTkN7zvb2elZon52hzPTH2R82e+wlwhYE/PPvblJkktb/D0if/OZtgkm+9j14rmwUqBWN8AsUMH0fksK12KF2onKZ8/iTu/QE/bIm7ESMRShEcPUFmcYa4rpLd3J/HQ5AsrX8YPoy/64Lom2wINPDptM1DyWd/TQ5eVpRN6nLRWWMz52KOj5HN9lE9+nSvdAa34a3emr567HE+TDhweGn6Eh1oDjE3VsS7NcTndxE5n6PXiNDI2nzuiqNgujww+Qk+ih2G7l1TDp/LMVzAvz5Fsa5IqRmLPJLN2jdPWKiOZEQZWOvjVKnPhGi9unODcYEijP83RniM8OPEujvQf5cTCi3jnLjJxrkq5vMjZPTE2Yj7Pp1fpyw/THetiobHIpfJF+msmue4BnjxlkV+sEs/k2fNX06gb+iWBAReGoa8KPdckqcz3QMuBpKuYGlScG4Ej05pDM5qkC74Bbj5JfuceUgcP0XzHfZSvXMDPpegpuaQ2WriXp9DtNqHrYsTjUYZAOoURT+Ds2EH8vn2YXd24M9MY6QyEAe7iIt7sHK0zpwnWy8TGxzF7e0g+eAzdaRPokCvrl/kUp/jLvhIVIzo3qlAzvGHwt1+KsfdCk1z9hkFrb6ATMRrf8RDmy2dJLKzjmwor0DRjUOy1qfdnmMq08N023/WSJuHCegYSLtQTilJfjGTDY3FXlu4gTsHIMPDCNNoy2dw3QjxQxE/PQBDgTIzjTs9gpNPE99+H9gMIAuyhIbTnYebzUUnryDBGPI7V24vV24uRSHD1XubN3vDV3Bq/deI3mbSH8RyD4a4xDnQfYKoyRcyKkXWyDKQG3tQ677Rqp8p0dRpTmdS9OgOpAV5YfoFfPP6LdIIOE/kJHhp4iE7QoSveRd2r0/bb2IbNaGaUdtCm5tbYk9+DG7hMV6fpBB1KrRKmMpnITzCaGaU/1U/CSnBf133b/ZCsk6XaqVL36szV5nh68WkyToZd2V14oUculiNorGO5DeK1ZcY6TabzgygnTWv9Eo4Zo8dtk/RaDA08yMzoA5xYP8Naaw1DGVjKZNLKsNsp4Lp1Rq0UZAah776bSo9eU+CB14RYdnuZsNlEex7t8xdwp6cwczlUPEHr1Em82TnqX8+CiSIAACAASURBVPpSlOE6Pg6mSfP557EHB4kf2E/y4UcINmu05mfpfO3568fbMU2c0dHtsu2w06bVqNGwAyoPT3L43T9IYXRi+3u42lhldu0y68vTtFeXcb0WQ2YPo4N7SRZ66d29n3rQIq5s/EoV040yjZTjYBUK25ttX7xI7dOfxpubI374MEY8Qev0KZRt07lwEW9+PgqUex720BDOrl0E6+skjh7F6u+j9dLXtzODAZRpUP3zT+HNzYFlkX3ySZIPP0xszwTKsuhcnkKZBkG9jrewSO1znyUorWEWCugwxEgkcHbvInnk6HY2l7eyjDe/EN3bmeZ2QGj70PX0EJTLryYCXJ3HMKLXW6XmRjZL7nveT9hqo2yb9unTGOl0VC4/OIg9MIiZzdB8+RXqTz8NpkFgAI6NrtUI1zdQzTbtrjjFkRiNvi6K47380dA8q+3SdntswyYfy1Nqldhb2EvNrVFsFklYCQ73Ho4+u81ZuuJd2IZNpVMhYSWodCporRnLjhESslRfYjg9TN2tYxkWjw8/jlLRQ9e0k6bu1knaSQqxAiEhI+kRqp1q9PA9M8zPPPozb+Z0cM+SQJN4y/kbGzSff57iL//ydlT9qtQT76L7J36C+KHDKAXuwiLe/Bz+2hpWfz9WoUD7wkX8tRLBRiWKvh8+RO4DH7hlOuWdEIQBlU6Fj57+KB87+7Hr3utL9vFTR35qO7NHKUVfoo/eZC/diW6+PP9lmn6TlJ3iueXnOFk6SV+ij+HMMId6DnGo9xCDqUHOrJ1BoynECpTbZQDiVpzO9BRnv/hJvrqjyb55zd/+Skj3Jlhb5+nyZB+2B23lUTNcXFuR2WjTMH18ExId6K1C5hb32e24wUq/g1Vvk21C9jUqQK4VKljPG3iEuIUk2TBGPNdN4twsautptZnLkXz8MWJju/DHBonZCcL5Rby5ObyV1egCZpo4u3cR27ULZ2wX9ugI7VOnCZtNck99AH9tPcpg6OqKAmmmibe4hJnNMPvJj9M4fZL0YgV3epqwVotufru68Eul1268ZWH19aJMi7BeJ6jVrrvgpR5/HKu3F+15xMZ3Y4/uwEgm8ZaXMOIJrJ7uqI76mu+ZXy7TPhVd1IOtrAll29S/+EU6M1dg62nv1Sdab1ZoGdT2DtOxIb/WZvZf/wixnTvpinUBUef5UvEczy89T6VeYpkKewp7+Plv+3m6E91ventaa/zQZ7Y2i6994macdtCmK95FuV0m0AHFRpGF+gIXyhc4uXaSUrNEoAN25XbRm+glH8vzbUPfBkDylctkv3YGPTYCg30Mnlmlc/JUlAJ+eeqm7dujoyQffBBn927MbAZ3ZobOpcuEjQZWXy/Ozp2oZBK7vx+rr49gY4PWqdPUPvMZgkoFI5Gg95/+kyjwoRStEyfBMjGzOVIPP4Sza1c0NloqFQWbk0l0u407PY1KJDEzacJUAiuVxrRsLi6epPmFv2S0d5xSFhrdKdZVA3dlhercJa6sX0YHAclGQN7OUnVrrDSWSW60SXU0k8sGmUZIKa/oL4fkG68Gr1pxg6nvPkhlR4HOZoVSUOW+Zp7B3Aj3HXiChBNlDPjFVWJ799K5eJHG156ltTRPa2Yas1h+05+vtZU1487PYyST0ZPMIMAeHSUolwkqlZuWUbZN8tFH0K6HkYqyjaJA/m5Sjz9O7vueAq1RpnndOD3f6A3e31SdoEPdrdP0m4Q6pNKpsLC5QKVToTvRTV+ij5bf4lPTnyJhJTANk4SVoNwuU2qWWG2u0vAa1z24eHjgYbKxLC8sv8BGJyoJ3FPYw795/N/csWyFYrPIbG2WcrtMtVPFNmxWm6uUmiUc0+Fk6SSbXjQe3UR+gr5kH1OVKeY353l06FF+eO8PU4gXOF8+z1p7jSAM2HQ3qXQqvGvkXezr2kepWaIdtBlOD7/+mHbtGiweBzMGpgOl89DagNwIZIei18PHIP364+istdZ4bvk5Xlx5kReWX2ChfnNWlm3YjGRGMDDYkd1B029SbBYZSA5wpP8IbuByonRiO8uy2CzS2Vin0FSkjAQ7e/bQ3zVKOeaxt/8gTa/J5tIs9rkZBiswecXD0gblYJPus0tYHZ+wp0BwdD9Le7poXDhLZXGG7oZi91KAfYug9uquHE4mR1255HwnGmS20US12qRKdYzg1v30oCtLY/cAjayDPbWAU2mQrd48vmRoGmjLxC+ksTfqGB2PwFLMPjjM1/tbvNhVoZiHsaJmRzHKEM02wNDw+JmQvQtwcQQuHcizs52mWnBofd/fYr6zTLldZiA5wN/a8bcYdvrQSlMNm2SdLHsKe25ZptyZnqH4738Jb34BwoDEA0doHj+OXyqR+c4no6zJpaUo22RrXDQzn8dfX79lmW1s3z785WVULEbi/sNRhoGx1fcYH49KOVtNgs062u3QPneeoFLBnZkhqG/iXrocjbOyleHi7NyBMzFBfN99UXbEffcRP3AgetBXq0VtWVoC28adnmHj4x/H6u8n9egjBBsbuPMLePPzaN8n8+STWF2FqIzzxiESfBfO/DdQBlTnwIrDAx+GRIHOzAytV06QfMcxnJEok9lbWsKdm4tu1oHlqVOc6u/w3OYpvh5eIcgkSC5V6G1ZtPqypNdb2Bt1xoqanWsGDSck04TBCtRTJu24wUZPnCWnwaHpgMCIgoi5Jix2KzaToEd6mE00uJTqUMxDK6nwvsFTfSoMabxO/11pzbeteuxZDRlej5ELFF4hju90kxrdS3/DIREPyRY0WRok+ntRQZ3O85+hU9ygsx6jtZknMLpxlzdumRkaGopm2qJxdJLUeg3HU8S0jd45TKmySPrMHIlG9DfUiMGVySyre7pJju4kX2xx4WCOi+lNpivTtIM2naCzHcC/al/XPjbaG9S9Oi2/dd1D6RuNZkZZqi+hUPjaZyw7Rle8ix3ZHdQ6NSYKE5jKxDZsElZiO+Pmwf4HSTtp8rE8XfGu7fXNVGfQWmMaJt3xbtJOmsX6Imk7jamia9FUdYqpyhTtTpO+GlxSJex0hoHkAN2JbnoSPSilOF8+z1h2DD/0yZppeq0cVurWP3i0sLlAuV2mV6ep/dl/xynXyWS6CFvtKDjV6eAuzGP3D2CPjhBulPFWi5gpB7/VptmsoFpljO4ksW9/F9nR/Sw3Vlia+SKrYYdT7RIz7SLF9gb9QUCP22Fa+SxbJo0bvo9moBkqw1IXxJQmpTWB6XDMynFEx/BaZb6aTHHcr/AdXQcZbFY4pwL64wUGuvey0lrjcvkCfbECO5VDaWOKJiEjKk4rniFjJ7ExuGQCyW4KiW5KrRK9iV5qbo2vLn51a+w4Gy/o0O1kWXdrtII2aPCJvg/jToHv6jrIP/jOX3/N78ffJBJoEm+JsNGg8eKLbPze79F4+pntsZAGf+5nozKTdBoVj2P33Z1BsDtBh5eLL3N67TTrrXUqnQobnQ0q7QrLjeXt4M+HJj/EwwMPYxs2w5lhdud2v6lxXRpeg5SdeuMZr9HyW/zJ5T9BoWj7bc4vvcJz019BuS6N7iQtv0V3vJv7uu+LxgbQ8OjQo0BUxrS/cB/7wj7aU5dJ9g6R6u4jqNWI7d6Nsm2aXpNmp87iy89QSHSROjePUkYUdFEwU5tBKcVYbJjO5Uu4U1MEnQ5heQMzl8NbWSH1yCPE9uxBxWI0n3uO+tNPb3d6rjJzuWhA3q0BeztT07jz81G54+tRCiOVui591ywUiE1M4EyMYw8NbY8Jknr4YTJPPhmVytTr1L/8FWJ7Jkg9+uhN5TGh66KbTfzyBs7oyDdtMFutNc1nn8Wdm4/KDVIp4nsnMXt6CGs1lOPgzszgjEe18mZPT/QkanGB1omTNJ57jrBajbJHlCL58MNRmVE2izc3hzs3Fz0pMgycHTtIvfOdGOkUSimSx46hgxBlRUGAxgsv0Dl3jvbFi9uDkga1Gon77ydstUg88ADxfXtpX7iAN7+AkUrhLcyDZeGMjZE8+iB+eZ2w3oi2YZi0Tp3CX18H39/ObHHn5wjW1gkqlSjLcOszVo5D7L59KBS5D34QFPirxShoVKnQPH6czsWL+Kur28fPGhggtns37vw8frG4Xe5yreRDDxE/dJD8930fsT17vimf4+3SWrPaXGWttca+rn2YyiTQAV+c+yKt6jpLp15Al9YZ/9Jldl64ObDzehpJg8V8yHpWcW5UoTT0NAx6GgafORyw2A1DZYi5Gq2gkB/kwN7HSa1Uyc9ukLy8RMxXZEZ2EbaaZFJdZPK9BMurmPkc8QMH6fTlmDbLbBQsHio8gJeKkUhmKcQLb9zAG7T9NgubCyTtJEPpoTe9/OsJdUjDa5BxMt/Q8kEYcLlymQsbF1iuL9PwGxzpPULaSRMzY4xkRq7rqIc63O6s+9rnzNoZFuoLXNy4yInSCaqd1x9P6irbsEnaUclR02/SFe+iL9FHX7IPx3QYz4+zJ7+HXbld7M7v3l6u2CzihR7D6eFvaH/vKWEAa5cg9OHrvwtzz0G7CvVV8N8g+9BKwHt/Dh78CbBub/yPV4qvMLc5x5HeIyTtJEv1Jcbz4296DLtblcDfjqBSwVtd3b7mXnWhfIE/vPiHuOtrPFrvZ2D3IVSjxXyswZnaRf6i+hylVolcLLf9/TKUQT6WJ+i0ya806K1qZvoVMR/MAJa7wLdevcPKxXKMZ3cTX2+wa/gAgzpLLtPLOzs7cf/ii2BEg9tavT3E9u4j+dBDOCPDhDpkqjLFUn2Jy5XLdMW7CHVI02+SsBL0JfvIOVmG0sNvegDt1xSGUTAxngPz1YDkdSUobhOa65AfhfUpiGXRqR68heiHVkLXxS+W8BYWaDzzDM7YToJ6A29uNsqECkPchYWbsiquFdt/H1ZvL7Fdu6Ox32pVdKuNe+UKnamp7bIgiMZpIwi2S66uW69hRNe/q9csQ2EXEuhA4VeiAKZhKxKjKULXx7ANDFrRPzNAb9WC2okAt5nA7aRoLfsQRDekzsgARsKifekW5a3XULaF9m4RyTTAyQS4LqhESDrlE7gWoZGms+ahvRAVD/ATGj+u2bQUhSWT0ATbvf4uXllgZRReRmOmDdymg2GnCA2L1q5BNnJJuo0OXn+KzkOPYSeSrActakFA6dk/ZaJWYp9hU2icIbANrMI7OGMOEp5eJffCHLFKdF4IVFTubr/2x0egoBPXJFtbWUwKpgbAS2jMjM9ULsZsGjb6HXp9Td4NOTcI9ZjiinHr4M/ewCTXtog7mokw4OtmSIjmrAUGBl0Y9CiHSRUjGcsSsxL0jT7G7u79mO0Kx698gRfcNQbSwxQwSVsJDvQcYHjwGD2pAWzT5tLGJWYrUxRbJV4unWQkPUzg1smlBnhm9vNYYcB8ZwNDB5SDN87SjpsxYoaDZZisd67va/QkelhrvZr9bSnrtrPZb2SjKCiLqvY5EtocTY9SCjs8215hgZvXuSPWhRd41IMWWUyyyiKrLCyg3FqjoaCjFJuGQfMNEghsrdnrugx5PhcTKTqmzV4nT0+zyo7aKkkjjrJixEbewVC8m0HPpWv8vdjxAvbn/zWgoFWOgru9k7BwnKbXIKl1dK3xX+cJfGYwOlcBlKchuCGAme6H4Qdh5mmw43iGjVlfxdABOtry9mhunjKpmIpkEJDWGia+A370k7f5CdzbJNAkvqm067LxiT9k7dd/naBcxszlKPzIh0k99hiJw4ffsl+q0Vqj0Td1Eqer0/zeud/j87Of3w4mpe00uViOQqxALp6jK9ZFLpajP9nPjx/48XviCb0buLiBS9pJ0/AaJK3kPdGuq3QYEjabNJ756nYH1kjd3Ebt+3iLi7hzczi7dqE7HRpfexZroB/tugQbFYKNDfz1NYxYHK1Dch94isTBA3dpz+6e+le/yvxH/i7KcYgfPkRQ3sAZHcUZG8NIpwmqVVqnTtI+sTWuxK3KT5XCGRsjNjkJhooCRqkU7dOnMXPR4LhoHY3P0t9P0GhEv34VhnQuX75lkMfIZLBHR1DWVu2672HlCzhjY1i9PXT95E/iF4sE5ais08y8cWAgqNVwZ2aITU5GAcJrOhvadfGKpaieP5WMxrm5jXXeizrFVfyZWcxCNCaBNTrK2dUTfOnknzK9fplh8gSZBKNFzXoyYGoyzYGeg9zfdz9tv81SfYnlxjJNr8m+7n08MvAItmlTd+ucWjvFH1z4Ay6UL2Aog1CHZGNRuUOgX+2lZ5wMI+kRBlODhDrk6cWnr3v/qrHsGEf6juCYDjPVGfZ376fYLDJXmyNmxah2qnSCDoVYgUK8QDto8/JqVFqrUBzsOcj+7v30J/tZbiwT6hClokF852pznCidYNPdZH/3ft4z+h5SdoortSsUm0X6k/0MpAa4UL7AdHWaK7UrrDRW8EKP0cwoSSvJQGqA3bkoMPPE6BN0x7uZqk7x6elPU+1UqbpVap0ada9Od6Kb1cYqTf/VgX5u7Gjbhk1PooeYGWMwNci58rnrBv2F6KZ/PD/OvsI+dud3k7SSJKwETb+JYzo80PsAhXhhO2sp0AFH+46Sdm799PeO0ToK3PgdSPfdXGriNmBzBfI7oHQhummHVzvNf131UhQ06tTg4mej4EGzDKleMCy49DmobGUzWwnY8UhU5pIbjjI3Aj/6eeermUy1RagugDLh2V+D6b+C7Ag8+o+geyJ6f/1ytJ+BD+5mFLQYewwWX4o6/JlB2PFodDPxjdI62peVU9G+1YtRsCPZBXYSYhnY9/7o/wBeC5ZehupiFDjZ+923HRyDKLB19fu/3l7HUhYZJ4NpmPihjx/6nCuf43LlMj3xHvqSfSilMJSx/XfomE70WS9+HRpFSA/AwCG4equTHYLaUjRPPAfP/wfYXIbMAEy+L9rP7FC0fKonKl0aOPSNH8Nrj6XWr45tVy/CH/wdmH8uyuAZfSj6no49HrWrMgfzL0RZbjqE7HD0uRsWHPrBqF07H4/2ce0iJHug/0DUdq8Vfb90CI0ievks7uwsnbUW4eoVlHaxR3fivPvHMcbux2gsRd+n3n1RZp1bBycdbTvZjWf0EZRKtL/4e7TPnkLFUlgZm6DhYvX1Q2UOpV3SOxTG+knctSZmLIzGt2qtoT2XZqWAzu6kcnITr+ph2KB9TahjhB6EW80N2x0IAqxcDCsRksxvkB1t0VpzqC/FaKzGieUD+h/xMWMhulXHTgTUFuKYlsb3LPyGwk752OkAt2oTy3lYiQBnqBvj0FOw58noe9lch7nnYe5ZdOkSTL4f7vsuVO8kVObBdNA6hNwoYXGOTlAg2GjgLSxGZddX/y0tYXZ1RaVelkVnehrdvGZQNcvCGR7GKxajcuxr+ikqHsMZGY3G7QMwTdJPPEH6Pe8mceAAzsQEraCNKleIVy8wd+4rlBJtavWAdjtFu75JMDWDWlhham+OkcOPstmfxks5nF34Gierl0mHAf9ydYX3NNtb35HhKHustkh5+Aid7jFW/RYzGxdJNMrsb7fYYcSjv5NYGgq7oqCC18SvLWJW5lHde6JzrpOM5uvc5mDvmUE4+AMQz0fnzBO/H607Nxytx29H570brsmuFcfy2wRAs2sM88AHqbfKnKvN0EJTqs2y1qnSNhQdpdgTmvTE8nh+h+VYgvlMN8PJPuLJXpQyWF47zx4rwwPVIobfZsVvsL80QwCsWCYbpsmiZeEr2OsGrCSz2IZDtbPBQqabIvr/Z+++4+S6ysP/f26bO322r7RatVW1JFuyJFyRC8aNblMcDMFAKCYBp1FSvgm/EBISQl7ECQTsQICQgCEYjME2YLAdG1fZsi1bsmTJ6tpdbZ9ebvv9cWZmtVo125JG0j7v12tfOzt3ZvaZmTN37nnOc84lGgQ8bVts1Vyivs85hDmv7NOV6WPQNEl6HvsMg3VhmwCYjkHGtMlokNbBBdrMGDE7hR1pIoLONDOO0TSLsJ2ilB+gUkrTZcbomrWGaeFWkpqpBgw0TX1e9/+uq+Qh9PIG9vFc6HtG3XfmuVAaU5+LnY+o7XPWqG3xdkjNnPj/iqPqvdr5COx7Dnqfgf710LUSwkmVzEp0QqxD7Zd0E3QDmudA6wL1Hvc+o/5OTn95cZ/EJNEkjht3dJTdv/chShs3Ej3nHFo++AGiK1c25Exqn3/s89yz/R7OaD0D27AJgoA9uT3sSO8gZIRYM2MNb53/VlZ1rnrFI+RCHG/F5zeo+eith54W5/T31+fblzZsUF9kgY9fKBJdeTZGU9Oh71tLCM2Zo9YE2Y+XzeLs3o3R2qqmXWUyYFqYLc1yavOT2P7f5ZqmMVQcYsvoFnRNpzfXy/qh9fTn++nL9VFwC1w15youmHEBFa9SPzV3upxm3cA6nh54Gtd36Yx2siOzg85oJ3OSc8i7eZKhJFEzSqaSYbg0TMSIsKR1CWd3nM2OzA6e3PckG4c3knfypOwUtm5T9stqvQIrzsrOlZiayX277xuPF414KD7hJAHTY9NZ3LKYOak52IbNxuGNaGjszu5mV1YlL/afslCbqpwMJVWMVpTh4jBtkTZWdKxgaetSpsen4/ouW0a3UC6NUfJd1g48xWh2L2knx5BbYH7TfFZ1riJkhCh7ZV4z7TV0RjtPrjMV7noMfvsv6kA5W11nLpSA9kUqaRNthUgzrP0P1Sk6UPMc9TvaCjPPU9N2UjNVYiHWAdFm9XiZvfDs92HlDTD7gvGkdikNOx+GH39Edc5BHXhbEfV/nQI4JeheDXMvUvdb9YHxxMzRCAJ46T74vy+qpESNUU3gGCHVGfQcKAxNvv/sC+GMN8P0Fep56gbs+C0Ylqqw2vuUqrjqOAPaFsK+52HT3SrRVclN7kAe2AnUTWiZB4vfAM/drl7Dmukr4JyPqASfEYJdj0A5B7seVR3KUEwlSPZtgJ5LYMZKFYtuqvd066+h51L1WvoO5IfGR9XjHer+8U713Hc9CgMvgJOHLfceulLMCKnb18bWdUs979Ed6r4H07Gk+jon1HNZei1MWwZ9z0I5qzIk0Rb1kKGo6kT1rlNx54dgzxPw/I9Ve1n6NpXcGHxBdfYvuEm1kz1r1fvR//x4bF1nw/zLwSvD4Isw+3wY2ARb74X8YabNH06sXa3hM7ZLvaZ28shJgtYFKhkwtvPg20Nx9dpk+1Q7X/RG9X62LxpPmC19m2pzR+BV14CsD6YUR9XrlO2Hke0Ut/VirXoTZkeH+mzkB9V7ALD7cfUz73Uw7SyV7B3equKasUp9dvUTczp1L5fHz+cob95M4al1lDdvxpo1EyMex54/HwC/XKG0YQOV7duJLF+OfcZi7HnzsHt6jvDor4BTVPuM47TkBum9sOVX44miea+D4S0qaVFLuOcGYP0PYNsDQKCuW3qNSvKO7Vb77HCTSp7OOk/tV4ojKrmemqn2WyPb4PFbYGCDanfJauWwFYXl71b7XgLoW6/2YZFmyPXDjodVe68xbPX/k9PVZxpgwZUqlvbFah9nhtXn2k6Nv26eM6kdF0tpbMNGt8KqTfauU/tQI6SeU/ti9TvWfvxef3HSkESTOG6Gv/lNBv7pS8y4+WYSV1zesIqbvlwfV9x+BQAr2lfUz3jVHe9mccti3rnonROmSAghhJhs/8rQVzKNyA98Kl6lfubFIAjIVDJqnYhqh+f+XffTGesEoDPaSWuklaJbpD/fX19X53AylQwP7nkQgKgZ5cIZF2Ibh6kiKWfhrk9W1wMaUR2EwGNiYTvqwN6rQKRFVdJ0na063IGvrrciR79I7dHY+hs1vWzmOdAyV3UEep9WnYxEp+o0/uZzsPkeVZFkhNRIarRVdUpmna+uG96iEg6ZXtWxqWRVBcOCK1Q1Tsdi1alPdsPAxmoC5DGVpGmapRIOB04J2F9iOnS/RnWec9XFcdsWwiV/ppIWPZeo0dzjYXAzFMfU6H982oTpVvg+9D2t4rOTqrO28U546lvqOR2KXZ22VdhvXb2mWapKq3s1LLoaWnpUQifWrhI8vqeSH6M7YeMdKuHy0v2qSuQtX1FVVENb4Jd/oaoWJtDG3z8rqpIvdlK9F/snsDRDJb8GN6kEjKarTmPhMOv/pWaqGGaeqxJ6yemqA7vveRUzgUpY2NVkZKYP5l8GrfPUellb71XVHjsfVu9p8xzVxjbdpe6/87dH/14dKFqtjtrxEHQsheXXqbYyffnE2xVGVGXe8BaYdcHE93h/2X7VbiPN6nFz+9TfvgdmSHXCQVVlpWap18Itq9trmvp8bLpLfVaS01WidXCTun84pZKMiWnqNXrpN+r1X/Z2VcHmllWSzy2pOJrnqE57Zq/qUAtxOEGgPtNwVMnHg3Ir6r5H+x2UG1QJ3fyQSva0zlf7ASGOMUk0ieOm/3OfI33X3Sx6/LEj3/g4+sLjX+CHm3/I3dfezfT46VOOKIQQU4JTVNUcdlKNAHsOTD9LVX4MvKA6c2e9qzr9qlt11rf8So3YR1pUIiXcpDr0bWodBgY3qYTDC3eqg/zZr1XVF81zVCc48KF5tvrf2T51W7eskhtDm1Vc4SZVEVAYBisGXStU0iXeAWu/oSo9Lv6Mus3RVA4EgaqoWf8DeOLWg99Gt6BziUoSVfKqo1sYAQJVpXDJn6uKnoPxvWoVTOfh4/B99Xi6oRJxmT7VaS4MqxhDMdUxeek+VZWz5ynoXqWee9NsWHjly5oidkIFgXo/9z5Vrf7IqbakW+r971iqEhO5QfU+N81SP5576CTHwQxtVYmHacvGr/M9GNkOmT3jUzOirQfvHBZGVHxmWCX64h0q4VEcUx3K2nSRSkElQYqj6va5AZVUaemBtvmv/vU6nN6nIdGlphLufkxViyVnqOedG1DtMNunklvTl49Xbc1YrZ6Dbhy0IkIIIcTpQRJN4rjZfePHcPr76bnjJyfsf/qBz768GjG8a/td/HLHL9k0som3znsrn3/t509YHEIIIV6hih1j3wAAIABJREFUXY+pBTRf83uqOuTnfwyj29W2cEpVExRHVRVLx2LYvfbQ03wOJ9ykplEtu1ZNbTgaTkmdGS29R01dKGdVJzrbpxJY/evHR6drNEN1sM+9USVhRneoapOuFer+u59QU9GGtqgpRGjqub/2j9UUo9p0pK4Vaq2c3nWqUueCT6g1RoQQQgghTjKSaBLHzba3vg2rq4uZXzv+p2jcMrqFH27+IQ/tfYi9ub316xe3LOZ1M1/H9WdcT8o+RgudCiGEeHnSe6oLc2pqgeiZ56r1Qoqjat0H31OJm8FNqhppfy3z1DQVMwTnfkxVQJQy46e5L2XUeilOUU05KmVg9QdVkqowpJJIlYJaoDM/pNaxmHmumq50rKd0OyVV+ZOYpk5RPvSiSjwNvACb75542/3X96klzRa9ERZeMb5ekhBCCCHEKehQiaaXUR8sxME5/f1EV608Jo9VS3yWvBIRM4If+DzW+xjrh9YzJzmHm9fdzJ7cHs6ffj43LL2BslvmnOnnsKR1yTH5/0IIIfbjFFXyqGm2WuuhtgbKY/+uptTUzpgzd4267dpvqMSKGT509ZFhq/VhZl2gqnW2/hraFqj1ZayJi9PXk0yg1gCqnQlr5jnj18+5cPyynTjylLFjwQqrNYMAznzHxG37NqpEWtsCVdXU+4yaYtaxBOZd+vLPkCOEEEIIcYqRRJN4VbxcHj+dxpz+6tZE8gOfrz7zVb71/LcAcHyHtkgbmXKGij9xgdJbLr+FC7oueFX/TwghxEFsuhse+TeV4IlPU2sb1c5sVmOE1HoyzXPVWkmaru4D6mxRnUtUBVPrfFXBNPsCte5ScVQt1jzvdWpqXM3iN5y453cidC5RP6ASY2e8ubHxCCGEEEKcYJJoEq+K2686INa0l59o8gOfvbm9vDT2Et974Xs82vcoF3VfxLymefi+z3NDz7Fs7jKWtC7hwq4LGSoOoWka85rmHeunIYQQp6cgUAmerb9RZ8yqTe0q59QZqJyiOnXywivVGkGbfq7up+lqvaD2M9SpyIdeVAsPO0V1RrOulWrNoxq3om5/YEWSEEIIIYSYciTRJF4Vp0+d5tjqOnyiqT/fz3c2fIfH+x8nV8kREJAupym6RQBaw63cdPZNfOjMD6EdYi2NpnDTsQ1eCCGOl30bVBVPsuvozkR2tDK96kxWrfMnrjvkVlSVUe86dYarUFyd0ezxr09ctFozVEVRrF1NfbMT6tTfz34fzAhc+EdqcepIkzojVu204Ediho7dcxRCCCGEEKc0STSdIjzXJ/AnL9xuhoyj2+74TFr4XQPTeuXbNU3D6etVl9s6cCvepO2GpRMEAR//1SfYkd7BrMQskkaK7lg30xLTWNA6n7ZIG6vbXoNt2HiOP35/XcMwdYBJj73/9iAIJtyvvt3QMIyj2O4HeO7k7bqhoR/Fdt8P8A+23dTRde3Vb/d8fG/ye2uYOtpRbPc8n+Bg2y0dTTuK7Sdp2zOsattwPDjw7i9n+2Ha1pG2S9s7Tm1Pc9HGduA1Lzg52156G+T6ccPTVCJmzxOqUmjDHWha9ezofc/iBpY6nfqaT8Kya6Bp9uHbXmEUbe3XMQafg3ATbvtyVSW081E11Wx0G9retRiaS9AyH08LqyRSdgCcHKCh4WJoHkEAHiFY/BY1fWv2ayHejpZox4jEJ7etwjCgoydaxtuemYID2u9p3/Zkv3fE7bLfk7Ynbe+A7dL21HZpe4feLm1P2t4hYj+dSaLpFPHwj7by3AN7JlynGxof++qlADzwP5vY9Gj/hO12zORD/3wRAPf+5wZeenpwwvZ4i80Nf68WUb3ra+vZvXFkwvaWrhjv/utzAbjjy+vo35aZsL1zbpKLI/2g69zx7b2M9G2ZsH3mGc1c+fElfPGJL7LqgXdxabl1wvaes9u5+qNqYddv/ulDlPLOhO2LzpvG69+v1rn4jz95EN+d+Ak+8+IZXPTuRfhewC03/R8HWnnlbM6/Zh7lvMs3P/nQpO3nvrWH1VfPITta4rt/+eik7WuuW8BZl85kpC/PbX/7xKTtr3vfYs64oIuBHRlu/+JTk7Zf+eFlzF/VwZ5NI/zsX5+dtP3Nn1jOrKWtbH9mkF/c+vyk7dd+ahXT56V48Yl9/OY7L0za/jt/dQ6tM+I8/2AvD/3gxUnbf/fz55Nsi/DMvbt47I5tk7Z/8EuvJRIP8cTPtrPuFzsnbb/x3y7BsLSTtu294zPq5Ab/+4UnGemduOjwzDOaecsfng3A9/6/x8kOlyZs37/tfefPH5G2d4CGt73zvoqx49c8rH+e53onntZdNzQ+9m8XgW40pu21F3mHcT0A/zv0L4y4swEbWAGsYGZqF2858+ew8Gq+98i1ZN02+CHwwx3ADnpmDHP1H10E8Q6+82cPUSpMPPBbFCnz+ulPQmGI/+i/Fh8LGD/ZwZkLB7novEH87Y9yy0O/N+m1W/kan/NX9lNOF/jmbfNhX21LDshx7ls1Vl8dl7Yn+z3Z7x1A2p60PWl70vak7U0kbe/4tD3d1PjYVy6d9HqcbiTRdIqYe1Yb8WZ74pX7zWaYt7KD5mkTz2RTy9ADLDx3Gh1zkhO2h8LjmdQzLphO96LmCdvDcat+edlFM5i7vH3C9lgqhHNHH2ZHB8tfP4tSbuLOO95i88kHPskDex7gDWe8h8tmr8LcbwpJU0e0fnn1G+dMGglo6Rp/Pue9Zd6kTHP7zASgRhvOv2byuk2dc9XzNUP6Qbd3LVBT8eyoddDt03rUYrXRZOig29tnqcePN4cPur11hoq/qSN60O2p6vNv6YoddHuiJVz9P4mDbo8mQ9U4kwfdbkfVx3vGwuaDbq9l0mctacGOTN4VaNXmc7K2vZrll82c1PYSrePrxKy8cjaVojthu7S9k6DtOUVmZf8Xu60fWuaqMiA7CbseRdt+H2gw17+HeOo5NSUMqo3Sg3//NKx6P/PmXUBzy3QYeUktUF0YxohE1ZSvgRdY2LSVjkVpGN4GbhF6LiHUs6oex1G3vd6nYcMdAMQqI7DsdZDsYvmOPkpaGdoWqilosXYSbUth9fsBWNm9V7W9wog6C9ngZppyj8LX/wKiraw2evA6poEVgfReaJ5Ly5q3wZrPQeBz3u2PEoSSExbObp+5Apa0oJ33B5zftmvSa9s5NwkLmzErHueX90zaLm1P9nsg+z1pe9L29idtT/2Wtidt70DS9pRj3fYOtUzM6UabVEZ2mlm9enXw5JNPNjqM05I7OMjeT36KoFxmzm3fn7T9tk238XeP/x2fWv0p3rf0fQ2IUBxMyfGwTX3K7OTECZYfVtO9aqelL4yoJJAdV39n+uDHH4b+9VBKq0Wlh7eC56hkUPMcuP6HaqHqGrcMe9fBll+q08XvfQrGqkmWcBOUxg4dTyiuprdFmqD/OZXMWnCFWuNo0dUwffn4GkSeC/d8Sk13O+9GuP1D6tT0gQdzL4az3qWSXme/rzo/7hXofx7u/hTkB2H+62Hf82ra2uoPwms+dHTrIQkhhBBCCHES0DTtqSAIVk+6XhJNp74gCBjOV8iXXQoVr/rj4voBnYkwjudTctT1+YpLZ1Jdlyu5FB2PM2ek6EiG8YOAWMjE0A/f0QmCgJFvfZuBL34RgMTVV9H95S9PuM0vtv+CTz34Kc6bfh63XH4LuqYf7KFOayP5CtuHckQsk46kTUs0hH6E1/ZgSo7HYLbMUK5MtuQSMnVcL6DsepSr8611DfwAXtyXZTRfIWabREMGw/kKrbEQFdfnpcE8z/em2TlcIBoySIRNupujnDkjxZ7RAmMFB8cPcFwf1/dxq3Opm2Mh8mUX09AwNA00jUzRoeL6zO+IEzJ1NCBsGYQtnTltMWIhE8fzSYYtEmGTsuujabC0K0lPW/yIr0MQBOTKLgEQtQxMY+q1n1NKEMDme2Db/fDUd9TZzc66Tq0f9PyPIRSDC/9QVfXsXQej28FOwbW3qGRP7THSuyHRdeQkThCoNZFuu1499mWfBQLoXKqSUKM7oX0xdK2AeIe6vVeBF3+pFsce2wWZvSohlpoFM1aq2+1Zq6qX6jRYdQO0LoBzPwqGdaiIqmEFFCoqkXuwNhsEAfnq/rlQ9siV1X56+1BOPf2iw2i+QmvcJmIZxMPqc5QpOowVHNJFh2zJxbZ0cmWXXMll10iBbYN52uIh5rbHcL2AsGUwkq8wkC0xmndIRS2aoxYhU6dQ9pjRHCFsGegaeH5ANGSSK7uYukYkZBCxDMKWUb8cDam/2xM2tqkTs01aYyFKjk9n0qYlFqonroMgoOz6FCseJddTv6ujeLalE7EMkhGL0XyF4XyFkuMRqT52azyEbZ5caxY4no+pa/iB2s8O5sqM5Cu4XsC0VJjhnKq260jYJMKq3bp+wLO7xxgrqtFPXdPwfJ+y69MUDdGZtOlMhGmKWgQBDOXLZIouIUPHMjVMXSdkqjU5NA1SEUutYeEH5EoumZJqB9mSQ67s1i9nSupyruxg6jpx2yRmm8Rtg+ZYiGnJMIauMbctRqHi4XoBMdsgFbHIlV2iIROzum8uOB57R4vkyg4tMZtpyTCRKbCehHh1Kq5PtuQQDZlUXB/b0tE1jRf3ZdV2z0cDLEPHNnVSEYtIyMAydCqeT8RSl8XUUevDjBUcIKApGqIpYuH6Aaau4QXBq/5e8PyA0UIFy9ApVjx0TR3b6pqG4/lsHcixqT/LSL6MhoY61NXQNVVUo+saGpCKhlS8uQrDefVdUKh4GLqGqWvkyi57RouUHI9ZLTHmtkWZ0RQhU3IpOR6eH9SP22vfp+0Jm0zJJVN0iFgGIVOnMxmmM2kzWnDIlVzUR0Jj53Ae1w/Illx0TX3XVFyfrqYwGhoVz0fXNHraYzRFLNJFh+ZYiJbq/j9mq2MK+YyJY00STaewXcMFHnhxgNG8w2ihwlihwmjBqf8eyVfIld0jP9BRMHWNmG1imzrdzREiIYPORBiv2oEqVFzedOfXWPHiExTtKFvOupCnF5/P5uZZZIrqQFcLb6fc8i00P8lZ2l9TdjSmp8IUKh5Fx6MvXcLUNUKmjmXo6BoM5yq4flA/6KgdbJQcj7LrEa52dmK2SSxkVn+rDktb3KYtHqItYdOZDBO3zfoB+sa+DBHLYHZr7IgJtEMJgoCxgoMXBKSLDk9sH2Gs4OAHAf3pEn3pErapM5wvM5ApM5gtgwbZ0sT3xNA1FWfcxvMD2hM2ubJL2fEZzJXJVDslHUmbhG0RrnYmX9yXO+pYNQ0Stqk6EX5AqHrwBjCrJcqyGUkWdibIFFXHZOtgji37cnQkVUfCMnQsQ8MyVEfZ9XyGcxWSEQs/CPD8AD9Q75Opa7zQl0XTVD++7Kpk5kC2fNgY47ZJd3OkftnQNcYK1bZdfQ0cz2f/XZNt6szviNPVFMH3A7xAfbn2p0vMaI6wYmYT01MREmGToVyZ0YJDpugwkC3h+zAtFaZY8UhGTFIRi7BlUHbHE7Cx0PiX+/RUBEPX2D1aIBk2SYQtNCASMtA1jR3DeSquT9w2qXg+L/Rl8YOAsKmTK3t0JG3mtcdJhE0SYZNcyaUjGaY5alGoeAzlyvgBtERDFBwX2zSY2RypJyZyZZf+dKna9n1G8uoz7/kBA9kyYUuvdxKbohbN0RBjRYfesSL96RLZskuh7JIru9imzrIZKSxDr34+HVKREO0Jm6Fceb+DD4OKF9AeD+H6AaPVg76y69McC9HdHKHsqoUSawdfMdvE0nWyxTLznv4CC7d/F4DtXW8i0Ax69v6UkpFga8flzM09TSy7HV8zyERmct+cP2ZD9Bxy1c+IZWqEDIOYbezXOVbJUkPXeHFfjud70+waLpAIm7RUD5xqP+1xm5htMrctRri6sGMQBDh+QLrgUHa9+m3jtkoGlNKDVDbehbH55xhDm4jk9zAWncPmrmvoN7tY3v8jtk57Ez8N1jCULZMIm/SlSwxkS7hewLyOOARQ9nyKFZd8We0fRwsOmgZNEYvmWIhydYFJxw8YK1RwDrIY5tGqJZ/KjkeimsRti9ss6UoymC3z0mAOTdMoVly6miK0xVUSKFNUn6+K6xO2DPaMFnH9oP5+juTLNEdViXjRUcmhouNRcryjijdhmxiGRrEynvx+pVIRi7a4aqPtiXB9n5mMWCTDJgs6Ehi6OuBuiqrnFq0mS4JAfX66myPYplFP3ISq+7NMycH3A0KmXr+uWPHYPVpg13CBnSMFdo8U2DVSoHesSL7isnukSMjQ8YMAQ9de9fPbX6i6wOyRXuNwdTHR0kEWmj2QZWjEbRPXC8hXXA6yduohaRpYuo5X3dcfKBWxaIpapCIW89rjhKtJhETYIld26vcxdZ1syWG04JAIm3Q1Rdg7WqwPMATV13JuW4zmaAjb1ElG1OPWfmxLZzhXqQ+wGLqGZagknGlouF7A3rEi0ZBBujiecOtKhfH8gGTEQtc0OpOqDc1ti9X3sbXkba7somta/TtsrOAwmFPJ2UjIqO+D9k+6RizV1iqef9jKYL+6v7YMDccLcH31nRYE4AcBAdXfQcBI3lELCfsBY0UHXYO4baFpsHO4AMBAtkSx4pEpuYzmK+g6hAydbMlF0yAZsWiKhAhQndBYyODM7iaKjodd/Rx0pSLVRKSL4/m4foBRff65sovnBwSBSgaN5iss6IzTnrB5oS/Lht40YwWnmlC1GC1UGM5VSBcdSq5XT4AeTRs9kkTYpDkaojkWojlq0RIN0RQN0RKzaI3bZEsOrh8wkqvQkbSxTQPH83G8gICApkiIaMggV1YDq11NYZqiIWIhg6bo+FQY11PJ34qrfpdddRKFGc0RTF2jUPEYzlXIlp16O9HQaIpatMftVzRweLLLl1286qBz0fHIV48lihWP9oSNVd0X+n6AH6jPUu34rVDd39SOFV0vYMtAjnSxUv9+BEiELXrHimwbyhMEAa4fVJNMB2foGgs7E8RtA9s06se0tf1BoaI++6ahMbtFTa0azpcZKzhMS4XJl1029GYoHGQxZhgfqH25DF2jJabaWu35Rm2DGU3q+2fXSJ6dw4X6d4apaxjVvo/rBRSdg8dzNCxDIwjUIIZlaOQP8dz2p2kQD5lkyy7RkFHf9/alS7QlQoRNg46kXU8CtydsZrVEidsWrq8+J44X4Ho+XqD2HS3xEJau1weJwpZOW9wmHjYxNA2jGueu4QK5slv9XrdJhk08X+3Dh3IVHM8nEVb9geFchef2ptk5nMev7k5SUfXd0xINEbYM1u9JM1as0NMWY25bHNvUmdMWpez6tMRCGJpGMmLh+QGx6jGf76u2FqpOtytWPAICihWPoVyFouMxWqjgVAeE8mWXsWKFtrhN2fFJV/sn+7IlKq6vjskzZUYLlfpxZ6U2UF/9fFjVfcRQrlzd7wbVfZV6Pc/raeXW903KzZySJNF0CvvF8/3c+N9qAbiEbdIUU53Lpqj6Em6OhpjdGiUZtoiGDKLVgyOAwWwZ29TrB0ph02Awp66LhtRO+4kdI5QqHpoGo4UK2ZKqjOodK1J0PAYyZUxDIxoyiVka/+/rnyAfS3HzO/6CAd+qdgAskhGTjPEo68v/gU6EhXycQmY2IUNnX6ZM3DYJVRNYnh/UDww8P6AlHsLUVaVMLSFVcf16jCXXo1BWFVn5sku+orYfTMjUcTyfsGnUd+QhQ2duW4ye9hidSTWSrEbaPZIRi47qiELJ8RjJq059oeIxVnR4aSDH3rHiQf9XImzSlYrg+D6tsRAdyTDtcRs/CJjVEqWnPUbZ8RnIqgTUQLbEUK5CEAT1g/CQoZMIm3SmwhCoA0vX9yk6HiFD56zuJmY0RWhLhEiGLSquj2nohC29Wk2k4Vc/x12pCKmoVa8qsE2dsusTMvQTdlCUribljOr7WUt4VDyf5/dmWL9njL2jRQxdI1tSBzW1dpyKWPX3MBoysQx1sJcpOmzqzzKUK2NUv6xNXWNaKsyL+3JsG8xNOlCI26qSTAP2ZcpEQka9iq9G01Tn/VAHIEejdvBQrrbXV/JYIUOnuyVCseLRnylxNLvlAw+OIpbB9KYwybBFzDZUlUrJ5fneNEGgOolx2yRTchjIqsRCpuRM+BwZeOgEOJgYeHzc/Cm9QQu/8lbTqmVoJcMbjcdYoO1la9DFzmAaVxprOVffxLfdK/gn9zryqCRimDKOZuEFOiEcFmq72RrMoISagx8LqaRJbRSu4vrkK+4hn3t3c6ReiVGrhql98b8ctQM094AGE6NInjDURjNRr29XKkxXU4RMyVGdllQE1w/YMZzHMjRCpkHE0onbKvk6py1W34+MFCqEqyOxlqHRHFMjtVHbJGrVnj/0tMcwdR1D1+hqijBSrfTJlBxs06h3vmsHSCdSrSK26HjsHC4QBCoZNZwrY5sG+zIldg6rBTLDloFdrWysVUXVLrt+QNlRHbpMyaG1mvirff6GcuV65eZg/XKFwWz5mAykxELGpIPxg3UwYiGDWa0xulJhNA2WzUiRL7tomkYQBHQ3R2lPqMGCvnSRGU1RAtSgQ3G/x184LUF7Qu1/VJJEJfFHCw77MiX2ZcoMZEpomkZXU5hUxMLd7yB0/4TWvurtIpaqRK1Viibqv8cv75/8CIKAkuOTK7sMZsvsy5TIlByGchViIVUpmis5pIsu8bBJpuhQcjx0XSMZtpjRHCEZNhnJV+hLl+hPl1TVXaHCSwM5StUYM0X1XWYZOgHqYDsRVsnibMllX6bEzJYoQTXBogGOF9CbLh7Vvu5oGbp20AQZqH1sPGySLTmvKtl74P9pi9v1qrC2uI3j+ewdLdKfKb2q75WDqSXkWqKheqIoETbr1ZDpooMGxMMm6eqx1CtVS5DVzGqJ0hYPMVD9PLZE1ec3FbEIhwwStllPBifCFsP5CnFbfe6LFY9F0xIYmqY6ZJpqI4WKS6aojrv8QP3PfFl19karA6mj+erlfGXS5zdk6oc8DjyUuG3iV4+PDtVWLEMjbBpkj7DfqR2HREMGCzoT1eNVnZCpfqsfNUg6ty3GnDa1Xkuxoo7vVCfYoG+sRMlVx6O7R4rEbJNkxKweV6vXtJa8zVYTeplaFWPRpex6dCTCFB1V4RoEqqI+bKlkW0fCZkZTpL4/Dpk6YwWHsaJD2fGpeD5lx2PHcJ59mcMPFL5cIUOnKWrVq+xrbXVaKkxPWwyrWhE/rz1Oa1xVxo4VKozkKxjVaiPXD9jQm8HxfPIVlTjVder7S9s0aI5ZlByfncN5dF2jNaaOl/vSJcKWzpkzUsxpi9UreGvJZqfaBhZ1Jlg0LcG0VLi+nwp8CFAJgyBQA5wj+QqmrtNabftHOq72fVWtlQib9WRE7XrXV4PXY4UKqYh6r2sJ3/50if5MiZbq8/ADNchbq0qyq8cCQUA9UQzUq5b3jBYZyJZojdtkiqogYedwgdFCheZoiGzJqVcUdyRsBrJlHM9ntOCo7x/Hpz9TekXHWEfbLg41oFHTHLUwdFWMkC46E74Tw5ZOa8w+qu+QWKh6/FG9f1NUJaAOLAZ4uXQNWuNqtkrZVfsm2zQwDbVfQNNwPR8/gLa4eh9rA/lWdbBrQWec95w7+1XFcbKQRNMprFhRUyyaolbDyx0rO3bw0lVXM/3vPk/T298+Yduzg8/y3rvfy/nTz+fLl36ZmBU7xKMcG7WRlKFcuf7Tly6RLjhYhqoGWtKVRAO2DuR4aTDH9qE8A5ky2bJbHw0pu169s6FXpymoToFOWzxEZzLMOXNb6qPg58xtoaspUh9JkLWOGs/1/PoBcK0De6j3pTbl0K6+n7UpKY7nM5Ap05cu4ngB3c0RcmWV2AT1RecHKikQMnRKroep63QmbeK2OtjXdY100WHbYI5CxSNbcojZqhImU1TTCdoTdr2KL2abFCouWwdz7B4pELFMZrdGmd0arR4UGjRVD0BAJVtqU41UIs9lpFChuVplcLRtsVbJUkt45kouid6HSN75QdANsud/muS2u9B3PTL5vmiUW8/ASu/EcPM40Q6y53+G3bPfTnPMVlN+ggDL0ElG1LTJrQM5YiHVIY6HzUNO0fX9gILjUagmk/Nll4rn09MWmzASvf/7Xuu4Z0su24fyeNXvNA2VBKxVR4zkHUbyZUbyTr0iq1ad0ZlUHf2OhI2GRrw62lbx/HoFlGicWtJtrOCwoTeNZajqw1zZpbk68ljrZIdMnYFsGdfzqVQ7IrVkdVdTGFPX64nNSnU/MKs1yqyWKLNbYzRHj/5zJI5ObX9zoFK1YqLs+vVESe2n7Hi0xu1qNZuq0HJ9NZrueGogY3oqTLro0FHdB9cG0qBWURyohF62xOb+HNmSQyJs1ZPcybBVrywCaI6GaIuHaI6GKFengB1Y4Zcre+zLlIiFTFzfZzBbpuh4qhoqqwblupsjdCbD9LTH8f2gWiGspt7omoauU62QUdclqxXCQUA9iZkpqQqxOW0xdA1aYi9vWqnr+eyoVoAWKh6e77NntFivFqrF5HqqiikeNjENDV1TnSTb1NkykGOs4LBoWqI+CNRIperAZ3PMwtDV4Gem5OBUB98sQ0NDY6xaQROzDQYyZXrHiowV1ffc3rFidYBAJYHqCSFLXfb8gG1DeQpll85UmKaIOp6gnnCAwWyJsaJTT3SMFRy2D+Xrxxb7V0iVHZ9CNal0NFIRNQhaq9o5nFpyzzI0+jMl4rbJzJYojufXK+ft6mdiX7pE2VXTmMuup6anRS1V+Wnq2IYaBJ7fGcfSdfIVVfUSDamEcdgyGMiWqlU01dO2VwfZmqOhegJc16lWyWnVgZPwSTcdWhy9dEHtAy1DqydHDF0to1Hx/PrA/FCuTMX1Kbk+Q9ky+YpKmNWqJLubIyQjVn1AaTBXxtLVd29HtVIuW3IIAlXxtqQrWf3cjStWvGrlnMeMJjXjZjCrKopyZZftg2rAK1tyMKrH4rquMZApEzLVgJdwYcygAAAgAElEQVSpa+zLljB1nY6kGvSsTd2PWKriMWTojBXV8XkqYrEvUyJkqAovP4DOpF0fQDwdqxpfKUk0iVctcBx2vOe9lNavZ+5Pfkz4jDMmbP/i2i9y26bbeOh3HjruSaZXy/F8td4Q4Pg+6YJDMmLJItni9Pfkt2DtNyDbB6veD5t/AWM7oZKDpurIythOdaazK7+gFvLOD0KsDaItak2j9oXge5AfgmjrK18YWwghhDiN1ZJ+u0cK6LpWX/dO0yBXUtP7TENd3xq36xXptenu6aKL6/kkI6pqMRmxiIdM6eQKIU4ah0o0Se9AHLX8I49QWr8eAHvexFNYur7Lfbvu49zp5570SSZgQmWYrRt0JGXERZzGPBd2PaISTBt/qs70lpgOD/0zpGbCiush0gLnfBjshDo7W9tCCCcP/Zi6AYnOE/cchBBCiFOMaag1Jud3xI/q9lp1imHYMuhIho98ByGEOElJokkctfK27QD0/OxOtNB4SWPRLfL5xz7P3txePrn6k40KTwhxMJ4L//N22PaAqlI66zp4882gGbDveWhfpM7ctr/u02NxQiGEEEIIIcSJJ4kmcdQqO3ZgpFLYCxbUr3N9l08/+Gke2P0ANy6/kdfPfn0DIxRCTOCU4M6PqyTTpf8Pzv3oxCqlGSsbFpoQQgghhBDi9CSJJnHUKtu3E5ozZ8J1tSTTn53zZ7znjPc0JjAhxGSeC9+9Rk2Zu+yzsOZPGh2REEIIIYQQYgpo7CnMxCkje//9FJ54gtDcufXrRkuj3LvzXm5YcoMkmYQ4mfSth598VCWZ3vZ1STIJIYQQQgghThipaBJHVNq4kT03/SFGSwvJN1xdv/7x/scBuHzO5Y0KTQhxoOd+BD/+MGg6XPwZWPHuRkckhBBCCCGEmEIk0SSOKP/oY+A49Nz5U8y2NkCtzXT7i7eTsBIsbV3a4AiFEDz3I9jxW1j3HZh1PrzzOxBvb3RUQgghhBBCiClGEk3iiLx0GgwDo7UVgIpX4fq7rmfz6Gb+6ry/wtSlGQnRUKU03P576vLCq+Dt3wT76E6lLIQQQgghhBDHkmQIxBF5mTRGMommaQC8MPICm0c3c+PyG3nXonc1ODohBFt/rX6/67/gjLdA9bMqhBBCCCGEECeaJJrEEfmZDEYqVf97/eB6AN658J2NCkkIARAE8PR/w0Nfglg7LH6TJJmEEEIIIYQQDSWJJnFE3lgaPZWs//3c4HN0RjvpiHY0MCohpiDfg75nIDcA+UF48lvQuw5aeuC6/wbdaHSEQgghhBBCiClOEk3iiLxMBqOlGYAgCHhq4ClWtK9ocFRCnObyw/DLv4C+Z2HZ2yHVDff+NeQHxm+jW7DsHfD2b0glkxBCCCGEEOKkIIkmcUReOk1ozhwAtme2M1AY4Lyu8xoblBCnq+Io3HkTbHsAnCJ0nAH3f15ta50PV30BmueC70L3a0DXGxquEEIIIYQQQuzvlEs0aZp2FXAzYADfCILgHxoc0mnP22+Npnu23wPAedMl0SQEAC/8DNb9F7TMg8v+CkIxKGXAioJR3cVW8vD4Lao6acX1sPDK8fuXc3Df30LfeuheBc98H0pjsOhquOjTMO1MGNkGhRGVdJKzyQkhhBBCCCFOYqdUoknTNAP4KnA5sAdYq2nanUEQbGxsZKevwPeri4En+eZz3+Trz36dS2ZewszEzEaHJqaSIDj5poZV8rDuu/CLz0B8Gmz5Faz7Dix5G2y+C5pmwdu+ptZRWvcdVYFkJ2HjHXDGm6FjKWy+G4ZfAievHnPXIzD/crjkz1XSqaZ1nvoRQgghhBBCiJPcKZVoAs4BtgZBsA1A07TbgLcCkmg6TvxsFoKAYtTk5nU3c/nsy/nHi/6x0WGJqWRgE3zzCnjXt2H2a0E3T9x0sSAYv+y7YFjqcrYffvxh2P6gqlz6g8eg/3lY+w149nvqDHCjO+HrrwVNh5XvUwmo2RfCIzfD//2TqoSadQGc/V44850wYyW4ZQhFT8xzE0IIIYQQQojj4FRLNM0Adu/39x7g3ANvpGnaR4CPAMyaNevERHaaKqxbB8Bmv4+AgI+e9VEs3WpwVOKU5VZg66+h52I1xexItzUstSB2OQ3fvQYMW1UKXfUF6LlkPPFzKNsegH0b1LS2oc0Q64BNP1dnZ7vyC5Caof5PJQfRlvH7Db8EP/koDG6GeIc629vYTmhfDAsuV5VMpTQsvx5WfwAizTB3jfrJDUAoDtk+9b9mXwjdq8cf+6JPwerfU+svpWZMjFeSTEIIIYQQQohT3KmWaDoqQRDcCtwKsHr16uAINxeHse8f/oHQvHn8V+smuulmYfPCRockTkWFEfjtl+HFX8DQi5DshrPeCef9AcTb1W0GXlBVPqM7YHCTWrPIdyY+TvdrILMH/ucdkJoF8y6F/JBK5Kz+gFobKTUTRrdDbh/8zzvBq0x8DCOkKpV2PwFtC2DHbyHw1VpIS94Gw1vh2e+P3960oXMZLH2buu3DN6v//cFfQvtBPg/xDvW7dR5c+IcHfz32T2oJIYQQQgghxGnkVEs07QX2Xxyou3qdOA68XB5n5y4G33cFz+Tu4x/X/CPaybZOjjj5rf8h3PtZyPbCjFVw/sdhYCM8/K+w4Sew6A1qsettD4BbUvdpngNnvgOevQ0I4PcfU2sgnff7anrZ5nvUukeb7oLCkFoT6Td/M/l/65aqXOpcCh1LYP0PYP7r1ZpI37tOJbMu+IRapHvbA9D/nLrfivfABTdB08yJlVdBAOk9EO8EM3R8XzchhBBCCCGEOAVpQXDqFPxommYCLwKXoRJMa4HrgyDYcKj7rF69OnjyySdPUISnl+Kzz7Ljut/hpx9awoM9Re665i5JNImjt+O3qkLp8a+rv1feAG/51/HtOx+Fn/4+ZHqhdT5MXwGX/JlKOs2+QE2Lyw9DcURVHh1KEFQX1d6qklBPfRtWfQCS02HmuYe/b41bUZVSuqmmybXMfVVPXQghhBBCCCFOd5qmPRUEweoDrz+lKpqCIHA1Tfs48EvAAP7zcEkm8eqUt24F4H5zK1fP/oAkmcTRCQJ4+r/hzo+rv898J8w6H5ZeM/F2s8+Hm56efEa5pv2KFmOt6udwNA0Wv3H874s//fJjNkPQ0vPy7yeEEEIIIYQQYoJTKtEEEATB3cDdjY7jdOel06R/9nMCO0RfyuOcaec0OiRxssoNQqRpfGHu3/yNWo+paRbc8HNonn34+0sCUwghhBBCCCFOG6dcokkcf4HrsuN33k1l92563385gX4vPU1S7SEOUMnDnTfB8z9SZ3VLzVDT4Ia3wsKr4NpbIZxqdJRCCCGEEEIIIU4gvdEBiJOPNzpKZft2Ov74j3nyog4iZoTOaGejwxInk+0PwX+8Dp6/Hc58l1rEuzACbYvUgt3X3CJJJiGEEEIIIYSYgqSiSUziZTIAmNM62Tb2GHNTc2V9JqHkh+DZ78P9fw/xDnjvj9RZ3IQQQgghhBBCCCTRJA7CS6fVhWSCTXs3saZ7TWMDEieHsd3wjcsgtw/aF8Pv3qHO7CaEEEIIIYQQQlRJoklM4o2pRNMWt5fR8igXd1/c4IjESeHOT0ClAB++D2asanQ0QgghhBBCCCFOQpJoEpN4GZVoeij7NGEjzGtnvLbBEYmGKo7Cd6+F3nVw5d9LkkkIIYQQQgghxCFJoklM4lenzt078ihr5qwhakUbHJFoCN+HXY/AY1+D3qdhzSfhNR9udFRCCCGEEEIIIU5ikmgSk3jpNIGmsYcRbppzRaPDESdSOQs//gjE2mH3EzD4grr+sr+GNX/a2NiEEEIIIYQQQpz0JNEkJvHSGdxoCDSfC7ouaHQ44kTa8BPYfHf1Dw3sJKz+IFz4Rw0NSwghhBBCCCHEqUESTWISL50mH9GY1zSPZCjZ6HDEifLUt+Fnfwit8+HjT6rqplAMdKPRkQkhhBBCCCGEOEVIoklM4o6NMhJyOLvj7EaHIk6U3mfgrj+FRBdc/regaRCWJKMQQgghhBBCiJdHEk1ikpGBXWRsn4u7L250KOJE8Fz4yY1qXaaPPQzRlkZHJIQQQgghhBDiFKU3OgBx8imMDqAl46zpXtPoUMTxNrYbfvBetej3VV+QJJMQQgghhBBCiFdFKprEBH7gY+UqJNvmoGuShzytZfvhe9fBwAYIxWHxmxsdkRBCCCGEEEKIU5wkmsQEu9I7iZUCyq3TGx2KONZ8X/3WdZVk+tqFUByF834fznwHGLI7EEIIIYQQQgjx6kjPUkywZe96ugNo6Zjd6FDEsRIEcP/fw3M/VImlJW+FZ28DNPjI/TB9eaMjFEIIIYQQQghxmpC5UWKCnXs2ANAxrafBkYhjZnQHPPhFcIoQaYZ1/wXJGfC+OyTJJIQQQgghhBDimJKKJjFBb99mAMItbQ2ORBwzOx5Sv2/4GaS64dGvwlnXQbNUrQkhhBBCCCGEOLYk0SQmGOzfDoCRTDY4EnHMbHsA4p3QthA0DS7+dKMjEkIIIYQQQghxmpKpc6IuU8lQHhsGwEilGhyNOCYKI7DpLlj0BpVkEkIIIYQQQgghjiOpaBJ16wfXEy+qy7okmk5tTlEtAv7QP4NbgnM+3OiIhBBCCCGEEEJMAZJoEnX/99zPePsjASAVTaesXY/D09+FjT+FckZdt+oD0Lm0sXEJIYQQQgghhJgSJNEkAPADn55/v4dUUaPzzz+DbtuNDkkcyehO6F0He56E+ZfB7Avhe++C0pha7NspQPNcuPQvGx2pEEIIIYQQQogpQhJNAoDtY9tZttUh/aYLWHbDDY0ORxxJEMB/XgnZPvX3o1+BjqUqyfTe22H+6xsbnxBCCCGEEEKIKUkWAxcAPLd7LaYP7bMWNzoUcSSjO6H/OZVkWvZ2+MxOWPI2GNgA7Yuh59JGRyiEEEIIIYQQYoqSiiYBwIs7nmIR0NY5p9GhiMP57b/Arz87/vdln4VIE1xzCyx+Iyy6GnSjcfEJIYQQQgghhJjSJNEkAMgM9QJgNTc3OBJxSCPb4b6/hUgLeA40zYLm2WqbFYaz3tXY+IQQQgghhBBCTHmSaBIAOGOjgJxt7qS29hug6fCxhyHWAQSNjkgIIYQQQgghhJhAEk0CgCCdBkCXRNPJKQhg013QcwkkuxodjRBCCCGEEEIIcVCyGLhQMnkAjFRTgwMRk3gu/OC9MLodFl7V6GiEEEIIIYQQQohDkkSToOAUCBccAIwmqWg66Tz2Vdj0c1j8JnWWOSGEEEIIIYQQ4iQlU+cEY+Ux4sUA37bQbbvR4QinBI/8G2R74ezfhfv/XiWZrvtv0LRGRyeEEEIIIYQQQhySJJoEo+VR4kUIErFGhyL2bYSf3QR71qq/n/xPdZa5N3xJkkxCCCGEEEIIIU56kmia4ga/8lWC22/j0r4A79w5jQ5H/OgDMLId3vEtSHXD47fABR+H5PRGRyaEEEIIIYQQQhyRJJqmML9UYvjWWwlM2DgTVv7VJxsd0tQ2/BIMboKr/gGWXauum3lOY2MSQgghhBBCCCFeBlkMfAorPPUUQaXCl97sc+efnMOsnhWNDmlqqeTh0X+H/JD6++nvqt8Lr2xcTEIIIYQQQgghxKsgFU1TWOGJtQSGwYbugH9bfiOGbjQ6pKlj30b43xtg6EUY3gLL3w2//TKcdR209DQ6OiGEEEIIIYQQ4hWRRNMU5u7bh9uSoBzK0Z3obnQ4U8uvP6sqmZIz4NnboP85iDTDm77c6MiEEEIIIYQQQohXTKbOTWFeOk0paqJrOtNi0xodztSRH4aX7oOVvwvvuxOcgjrL3Hm/DyE5858QQgghhBBCiFOXVDRNYV46TTYC02PTsXSr0eFMDb4PP7sJfE9Nk2ubD2/5ippCt+ZPGx2dEEIIIYQQQgjxqkiiaQrz0mnGYi7dcZk2d0L4Htzzadj0c3Vmuc6l6vqVv9vYuIQQQgghhBBCiGNEps5NYeXRIfbqaVZ2rmx0KFPDY1+Dtd+A8z8O597Y6GiEEEIIIYQQQohjThJNU1QQBPjpDG48zA1Lb2h0OFPDC3fC9OVw5d+BpjU6GiGEEEIIIYQQ4piTRNMUVciOYHgB3V2LiVmyAPVxlxuE3U/AwqsbHYkQQgghhBBCCHHcSKJpilq/9WEAemYub3AkU4DvwwNfUFVMy65tdDRCCCGEEEIIIcRxI4mmKWp0aA8AbZ2zGxzJFHD3n8KT34RV74f2RY2ORgghhBBCCCGEOG4k0TRF5Yf7AUi2zWhwJKe5TC+s+y84+73whi81OhohhBBCCCGEEOK4kkTTFFUcGQQg2trR4EhOY74HP/koaDpc9CnQjUZHJIQQQgghhBBCHFdmowMQjVEZGwHASKUaHMlpbO03YPuD8JavQPOcRkcjhBBCCCGEEEIcd1LRNEV5Y2lAEk3H1aNfgdmvVdPmhBBCCCGEEEKIKUASTVNUkMnimjpaONzoUE5P2X4Y2wWLrlZnmxNCCCGEEEIIIaYASTRNUUa2gBO30SQJcnzsWat+zzynsXEIIYQQQgghhBAn0EmXaNI07Z80Tdukadp6TdN+omlaU/X6OZqmFTVNe6b68/VGx3qqcn0XK1/Gi0caHcrpa8fDYIRg+vJGRyKEEEIIIYQQQpwwJ12iCbgXWBYEwVnAi8Cf77ftpSAIVlR/bmxMeKe+fYV9xIqgJRONDuX05Lnw/O2w4Aow7UZHI4QQQgghhBBCnDAnXaIpCIJfBUHgVv98DOhuZDyno95cL/FSQKi5pdGhnJ42/ATyA3DWdY2ORAghhBBCCCGEOKFOukTTAT4I3LPf33M1TXta07T/0zRtzaHupGnaRzRNe1LTtCcHBwePf5SnmL25vcSLEGnpaHQop5+R7fCLz0DXSlj8xkZHI4QQQgghhBBCnFBmI/6ppmm/BqYdZNNfBkHw0+pt/hJwgf+pbusDZgVBMKxp2irgDk3TlgZBkDnwQYIguBW4FWD16tXB8XgOp7K9ub3MLkG8tbPRoZxeggDu/AT4Hlx7K+hGoyMSQgghhBBCCCFOqIYkmoIgeP3htmua9n7gTcBlQRAE1fuUgXL18lOapr0ELASePL7Rnn5G97xE2IFQu1Q0HTNju+BfzlSXX/830LagsfEIIYQQQgghhBANcNJNndM07Srg08BbgiAo7Hd9u6ZpRvVyD7AA2NaYKE9tiQfXAxC/9NIGR3Ia2frr8csr3tO4OIQQQgghhBBCiAZqSEXTEXwFsIF7NU0DeKx6hrmLgM9pmuYAPnBjEAQjjQvz1FR0i8x8upfM7Fbsnp5Gh3P62P7/s3fnYZKedb3/39/unqX37unpmUwmM1nIJCRhCWTAAIIsgSBHBDlAQJSfeBQ8RAOKqPzwKB7hnKM/8XCOsgUEgoqABhTMBkEWkXUSQhaykMk6k1l6eqne9/v3R9VAZ5jprumup57uqvfruuq6q57qup9PruSffK77vp9/h/Zt8Kbv+6Q5SZIkSVLdWnVFU0rp7BNcvxq4uspxas5th77P6YcS8bOPzztK7XjgP+Ce6+G8n7dkkiRJkiTVtVW3dU7ZuvuOf6dlGrZd+PS8o9SOG98BrZvhknfkHESSJEmSpHxZNNWZkTuK5zN1Pe5JOSepEf17Yd934KLXQce2vNNIkiRJkpQri6Y6M/fgQwBs2HXcHYo6GQ9+Ez76Imhqhse/PO80kiRJkiTlzqKpjszNzzE9OMDshiYaNm7MO87alhJ85vWwrhl+7YvQtTPvRJIkSZIk5c6iqY48MvoIzeNzpPbWvKOsfY/cDIWH4Gd+D07xYHVJkiRJksCiqa4cnjhM2yRER3veUda+m/8WGprgnBfmnUSSJEmSpFXDoqmODE8N0zqZaOzszDvK2ta/F26+Cnb/KrRsyjuNJEmSJEmrhkVTHRmeHqZtEpo6u/KOsrbdfR2keXj6FXknkSRJkiRpVbFoqiOFqQJtE7Ch21U4yzYxBN/5IPTsgq4deaeRJEmSJGlVsWiqI0dXNG3o3px3lLUnJfj+J+F9F8PQQ/CY5+adSJIkSZKkVacp7wCqntHRAdbPunVuWfZ+CT77BmjZDD/3HrjgpXknkiRJkiRp1bFoqiNTQ/0AHgZ+subn4Jvvg+ZN8Ds/gKYNeSeSJEmSJGlVcutcHZkZGACgsbMj5yRrzPV/UFzR9NNvtmSSJEmSJGkRFk11ZNv3HwFg4wUX5JxkDXnwG/DdD8NTfg2e8aa800iSJEmStKpZNNWRC/b0cWDXJtbv3Jl3lLVhfAD+/pXQfSY89w/zTiNJkiRJ0qpn0VQnUkps6p9h+OyteUdZO26/GqZH4BUfhebuvNNIkiRJkrTqWTTVienxEdbNwbouC5OyHPg+fOV/wdbHwbYn5p1GkiRJkqQ1waKpThw59AAAG7s35xtkrfjOlTA3Df/5w3knkSRJkiRpzbBoqhP9fQ8B0LbJrXNleejbcPrTYct5eSeRJEmSJGnNsGiqE0N9+wDo2HxqzknWgOFHoP+HsOOpeSeRJEmSJGlNaco7gKpj+Mgj9AKbenfkHWX12n8TXPMW6L8PohF2vSDvRJIkSZIkrSmuaKoT4wN9AHT2npZzklViZhIO3gYp/fjarZ+GR74HW8+H138ZTnl8fvkkSZIkSVqDXNFUJ6aG+gFY19mVc5JV4lvvhS/9dzjzWfCiv4Drfh/u+zKc8Uz4lX/NO50kSZIkSWuSRVOdmCkMkgIa2tvzjrI6PPydH4/vXXAW05bz88kjSZIkSVINsGiqE2l4lOnmJqLB3ZIAHLgVnnAZPOutcPtnYOfFcPvV8FNvyDuZJEmSJElrlkVTnWgYGWO2dWPeMVaHPR+BkUdg2xNh8y549u8Xr5/1M/nmkiRJkiRpjXN5Sx0YnxmnbXiWuU2deUfJ32QBrn1r8f1jnptvFkmSJEmSaoxFUx3om+hj00gitvTkHSV/e/8N5mfhddfDlvPyTiNJkiRJUk1x61wdODx2iE2jEFtPyTtKvgYfLD5prrkbTntK3mkkSZIkSao5rmiqA31HHmTjDLRsOy3vKNU31g//+tswMQjfej8U9sPLPwKNdqySJEmSJFWa/7ddBwb33ceZQPdpj8k7SvXt+UjxRcDd18Ku53s2kyRJkiRJGbFoqgOj+x8C6nRF00PfKI57/qY4Xvia/LJIkiRJklTjLJrqwPSBRwBYd0qdndE0MQQPfB0e/0pY3wK958FjX5R3KkmSJEmSapZFUx1ofuAQM+sbWLd9e95Rquu2f4S5aXja5XDqhXmnkSRJkiSp5nkYeI1LKdHz8DAjO3qIxsa841TP5DB8632w7YmWTJIkSZIkVYkrmmrc8PQwOw/NMfLsOjqf6ci98NcXFd+/+lP5ZpEkSZIkqY64oqnGDezbS8sUNJx1et5Rque2fyyOz/lDOOfSfLNIkiRJklRHLJpq3EjffgA29G7NOUkV/eBf4PRnwM+8FSLyTiNJkiRJUt2waKpxY/2HAGjZtCXnJFXSdzf03QnnvzTvJJIkSZIk1R2Lpho3MdAHQNvmU3JOUiW3fwYIOO/FeSeRJEmSJKnuWDTVuOmhfgA6ek7NOUkVDD8C33wv7HoBdGzLO40kSZIkSXXHoqnGzQwNAdCxeXvOSarg+j+A+Rn42f+VdxJJkiRJkuqSRVONmx8aYqYRmtra8o6SrXu+UDwE/Fm/C5vOyjuNJEmSJEl1acmiKSLeFBEdUfQ3EXFzRLygGuFUAcOjTLQ0ErX89LX5ueJqps3nwNOvyDuNJEmSJEl1q5wVTb+aUhoGXgB0A78MuDdpjWgYGWOyZV3eMbJ1+2dgYC889w+haUPeaSRJkiRJqlvlFE1Hl8K8CPjblNIdC65plWscnWSmdX3eMbIzcghueBuc8nh4rE+akyRJkiQpT+UUTTdFxBcoFk03REQ7MJ9tLFVCSommkQnoqNHzmWYm4W9fCtPj8NIPQINHjkmSJEmSlKemMv7mvwAXAvellMYjogd4XbaxVAmHxg/RPD5Hw6YteUfJxrfeC4d/AL/4j3DK4/JOI0mSJElS3VuyaEopzUfEIeD8iCinmNIqcWf/nXRNQlPv9ryjZOO2q+GMZ8I5nk0vSZIkSdJqsGRxFBF/BlwG/ACYK11OwNcyzKUKuOfQ7TxrBrq2npF3lMqbGimuZnr2H+SdRJIkSZIklZSzQumlwLkppamsw6iyCkceAWDjps05J8nA/puABKftzjuJJEmSJEkqKef05PuAdVkHUeVNDfYD0NjZmXOSDDz83eK43aJJkiRJkqTVopwVTePALRHxJeBHq5pSSldkESgi3gH8OtBXuvT/ppSuLX33NoqHk88BV6SUbsgiQ62YHRoEarRo2vcd6H0sNHflnUSSJEmSJJWUUzR9rvSqpv+dUvqLhRci4nzgVcAFwKnAjRFxTkpp7ngTCFJhGICGWiuaUoJ934XH/lzeSSRJkiRJ0gLlPHXuqmoEKcNLgE+Wzoq6PyLuBZ4KfDPfWKvY8BgAjZ01turnm++FiUHY8VN5J5EkSZIkSQuU89S5+yk+Ze5RUkpnZZKo6Dcj4rXAHuAtKaVBYDvwrQV/s6907SdExOuB1wPs3Lkzw5irW8NIqWjqqoGiaXoMPvmLsOsF8MX/VlzN9IRX5p1KkiRJkiQtUM7WuYWnLW8EXgFsWslNI+JG4JTjfPV24P3An1Ist/4UeDfwqyczf0rpSuBKgN27d/9ESVYPZudnWT82xXxjAw2tLXnHWbmbroL7vlJ8NXfDS/4amjbknUqSJEmSJC1Qzta5/mMuvScibgL+aLk3TSldUs7fRcSHgH8tfdwP7Fjw9WmlazqOkekRukdhtquViMg7zsrt+ciP31/0K8WySZIkSZIkrSrlbJ178oKPDRRXOJWzEmpZImJbSulA6eMvALeX3n8O+ERE/CXFw8B3Ad/JKsdaV5gq0DMM8701UMgMPgD9P4SLXm1LMTUAACAASURBVAeFh+Fpv5V3IkmSJEmSdBzlFEbvXvB+FrgfyPJwnD+PiAspbp17AHgDQErpjoj4NPCDUo7LfeLciQ1PD9MzkuD03ryjrNy9XyqOF78Res/JN4skSZIkSTqhRYumiGgAPpBS+lSV8pBS+uVFvnsX8K5qZVnLCpND9AxD07bjHYW1xtz7JejcCZt35Z1EkiRJkiQtomGxL1NK88Bbq5RFFTQycJANs7Bx23EfzLd2zE7D/V+Fs58HtXDWlCRJkiRJNWzRoqnkxoj43YjYERGbjr4yT6YVmdq/D4CW7TtzTrJC938Vpkfh7LLOj5ckSZIkSTkq54ymy0rj5QuuJeCsysdRpUwfPgRA+/bTc06yAinBtz8Irb2w6/l5p5EkSZIkSUtYsmhKKZ1ZjSCqrJmhQQDWd/fknGQFvvFXcO8X4Xl/BE0b8k4jSZIkSZKWUM7WOa1B84VhABq7unJOsgJ3fh62XwTP+O28k0iSJEmSpDJYNNWodLRo6ujIOckK9N8LpzweGvzPVJIkSZKktcD/g69RMTzGZHMj0diYd5TlGR+AiQHoOTvvJJIkSZIkqUyLntEUEZ3AC4HtpUv7gRtSSkNZB9PKNI1OMN26Pu8YyzdwX3G0aJIkSZIkac044YqmiHgtcDPwbKCl9HoOcFPpO61i60enmGlvzjvG8t335eK46TH55pAkSZIkSWVbbEXT24GLjl29FBHdwLeBj2cZTMuXUmLD+Axpc0veUZZn8EH4t3fB2Ze4okmSJEmSpDVksTOaAkjHuT5f+k6r1MTsBK0TCTra846yPA9/G0hwyZ94ELgkSZIkSWvIYiua3gXcHBFfAB4uXdsJPB/406yDafmGp4dpm4CZzs68oyzPvu/CulbYcl7eSSRJkiRJ0kk44XKRlNJVwG7gq8BU6fUVYHdK6WPVCKflGRofoHUSmrq68o6yPPv2wPYnQ8MafWKeJEmSJEl1atGnzqWUBiPiyyx46lxKaTD7WFqJkcFDtAHru3ryjnLyZibh4G3wtMvzTiJJkiRJkk7SCYumiLgQ+ADQCeyjeC7TaRExBLwxpXRzdSLqZI0eOUgb0Lxpc95RTt7BW2F+Bk7bnXcSSZIkSZJ0khZb0fQx4A0ppW8vvBgRFwMfBZ6YYS6twET/IQBaerbmnGQZ9u0pjtstmiRJkiRJWmsWe6RX67ElE0BK6VtAa3aRtFJTg/0AtG8+Necky3DXNdB9JnRsyzuJJEmSJEk6SYutaLouIq4BPs6Pnzq3A3gtcH3WwbR800MDALRs2pJzkpOwbw/03QUPfh0u+ZO800iSJEmSpGU4YdGUUroiIn4WeAkLDgMH3ptSurYa4bQ8s4UhABq718hT51KCDz+v9CHgSb+UaxxJkiRJkrQ8Sz117jrguiplUaUMDQPQ2NGRc5AyHT2XCaChEVrX4CHmkiRJkiRp0TOaTigirqx0EFXQyBgTzY1EY2PeScrzwy8Uxw0d8JL35ptFkiRJkiQt2wlXNEXEphN9BbwomziqhMaRCaZb1+Udo3wHb4Xe8+Dyb+WdRJIkSZIkrcBiW+f6gAcpFktHpdLnNXTKdP1ZNzbJTFtz3jHKd/B2OP1peaeQJEmSJEkrtFjRdB/wvJTSQ8d+EREPH+fvtUpsHJ1hvudEC9JWmfEBGN4HWx+XdxJJkiRJkrRCi53R9B6g+wTf/XkGWVQBs/OzNE/Mkdrb8o5SnoO3FsdTHp9vDkmSJEmStGInXNGUUjrhqcwppb/KJo5WamR6hLYJmOhcY0+c2/7kfHNIkiRJkqQVW9ZT57R6DY0P0DoJTd1deUcpz/6boOdsaD7R4jlJkiRJkrRWWDTVmOHBgzQA67vWyBlN+2+C7bvzTiFJkiRJkirAoqnGjB45CMDG7s05JynDWD+MHoJTPAhckiRJkqRasGTRFBHPiIjW0vtfioi/jIjTs4+m5RgfOARAy6atOScpw5G7i2PvY/PNIUmSJEmSKqKcFU3vB8Yj4onAW4C9wMczTaVlm+zvA6C195Sck5Sh767i2HtuvjkkSZIkSVJFlFM0zaaUEvAS4K9LT6NrzzaWlmtqqB+Azs3bc05ShgPfh3Wt0HFa3kkkSZIkSVIFlFM0jUTE24BfAq6JiAZgXbaxtFzTgwMArOte5YeB33Ut3PQx2PV8aPCoMEmSJEmSakE5/4d/GTAF/JeU0kHgNOD/yzSVlm1+aAiAxo6OnJMs4aaPQcd2eNmH8k4iSZIkSZIqpGmpPyiVS3+54PNDeEbTqpWGR5lsbiQaG/OOcmITg7D3S3DxG6Fpfd5pJEmSJElShSxZNEXECJBKH9dT3DY3mlLqzDKYlqdhZIzp1g15x1jcvptgfra4bU6SJEmSJNWMclY0/ejg74gIioeCX5xlKC1f0+gkc+2rvAPcfxMQcOqT8k4iSZIkSZIq6KROYU5F/wxcmlEercDM3AzNY7Okjra8o5zY7Z+Br/wP6DkbNvjwQkmSJEmSakk5W+detuBjA7AbmMwskZZtYHKAtklo6FyFB4Hf8wUgwXeuLH6+8NW5xpEkSZIkSZW3ZNEEvHjB+1ngAYrb57TKDE4N0jYB0dmVd5RHe/Ab8IlX/PjzM99SfEmSJEmSpJpSzhlNr6tGEK1cYWKQtkmY7d6Ud5RH+8G/PPrzOT+bTw5JkiRJkpSpJc9oiojTIuKzEXG49Lo6Ik6rRjidnJGBgzQAGzb15h3l0Q7dAdt3w9v2weXfhR1PyTuRJEmSJEnKQDmHgX8U+Bxwaun1+dI1rTJj/YcAaNm0JeckC6QEh26HrRcUD//uPSfvRJIkSZIkKSPlFE29KaWPppRmS6+PAatsyYwAJgaPANC2moqmkYMwMQhbH5d3EkmSJEmSlLFyiqb+iPiliGgsvX4J6M86mE7eVGEQgI1dPTknWaDvruLYe26+OSRJkiRJUubKKZp+FXglcBA4ALwc8IDwVWh6uFg0NbR35JxkgYG9xXHzrnxzSJIkSZKkzJXz1LkHgZ+vQhat0OzwMACN7W05J1mgfy+sa4H2bXknkSRJkiRJGTth0RQRv5dS+vOI+CsgHft9SumKTJPppKWREQAaOlbRiqb+e2HTYyAi7ySSJEmSJClji61ourM07qlGEK1cGh0nBTS0tOQdpSil4hlNpz457ySSJEmSJKkKTlg0pZQ+X3p7W0rp5irl0Qo0jE0w07yOaCjn6K2MHbkX/v7lMPQQPPtteaeRJEmSJElVUE4j8e6IuDMi/jQifEb9KtY0NsVsy4a8YxTdcx0M3g+7XgBPeFXeaSRJkiRJUhUsWTSllJ4DPAfoAz4YEbdFxB9mnkwnZXJ2kg2Tc8y3NucdpejID6GlB17zj7AaVlhJkiRJkqTMldUApJQOppT+L/AbwC3AH2UVKCI+FRG3lF4PRMQtpetnRMTEgu8+kFWGtWh4epiWqQRtq+B8pm99AG6+Cnp25Z1EkiRJkiRV0WKHgQMQEecBlwEvB44AnwLeklWglNJlC+79bqCw4Ou9KaULs7r3WlaYKtA6CQ2ntucdBa7//eLYtSPfHJIkSZIkqaqWLJqAjwCfBF6QUnok4zw/EhEBvBJ4brXuuZYVpgq0TEFTe0e+QVL68fsNOWeRJEmSJElVVc4ZTU8DrgSqvVTmmcChlNIPF1w7MyK+FxFfjYhnnuiHEfH6iNgTEXv6+vqyT7oKFKaLRdP6zq58g0yNFMctF8Bz3p5vFkmSJEmSVFVLFk0R8WKK5zJdX/p8YUR8biU3jYgbI+L247xesuDPXg38w4LPB4CdKaUnAb8DfCIijrtkJqV0ZUppd0ppd29v70qirhnDE0O0TMGGzk35Bhk9VBx/+s3Q2pNvFkmSJEmSVFXlbJ17B/BU4CsAKaVbIuLMldw0pXTJYt9HRBPwMuCiBb+ZAqZK72+KiL3AOcCelWSpFaOFIzQkaO7enHOQUtHUtiXfHJIkSZIkqerKeercTEqpcMy1dNy/rJxLgLtSSvuOXoiI3ohoLL0/C9gF3JdxjjVjrHAEgI0dOa9oGjlYHNu25ptDkiRJkiRVXTkrmu6IiF8EGiNiF3AF8I1sY/EqHr1tDuBZwH+PiBlgHviNlNJAxjnWjMnBfgAaO3I+gHv0cHG0aJIkSZIkqe6UUzT9FvB2itvWPgHcALwzy1AppV85zrWrgauzvO9aNj08CEBDe1u+QYYegsYN0Nydbw5JkiRJklR1ixZNpa1q16SUnkOxbNIqNTtc3N2Y+4qm+74MOy+GiHxzSJIkSZKkqlv0jKaU0hwwHxGdVcqjZZobGQGgoS3HFU2DD0LfXXDOpfllkCRJkiRJuSln69wocFtEfBEYO3oxpXRFZql08kaK/2pyXdF06I7iuOOn8ssgSZIkSZJyU07R9JnSS6vZ2DgADe3tOWYoHQTefkp+GSRJkiRJUm6WLJpSSldFxHrgsUAC7k4pTWeeTGWbmZ9h3fg0c+saaVi/Pr8gR58419qbXwZJkiRJkpSbJYumiHgR8EFgLxDAmRHxhpTSdVmHU3mGp4ZpmYL51o35Bhk9DBs7oWlDvjkkSZIkSVIuytk695fAc1JK9wJExGOAawCLplWiMF2gbRJSe44HgUNx61zrlnwzSJIkSZKk3Cz61LmSkaMlU8l9wEhGebQMw1PDtE1AdOZ5PlM/HLwd2rbml0GSJEmSJOWqnBVNeyLiWuDTFM9oegXw3Yh4GUBKyYPCc1aYKtA2mWg6rTO/EFc+GwoPwdYL8ssgSZIkSZJyVU7RtBE4BPxM6XMf0Ay8mGLxZNGUs8J0ga4JWNe1KZ8As1PFkglg6KF8MkiSJEmSpNyV89S511UjiJavMFVgxwRs6O7JJ8Aj3yuOTRvhef8tnwySJEmSJCl35axo0io3PDrAxhlo7snhIO5b/gG+/r+hYR389g+gNaeyS5IkSZIk5c6iqQZMDPQB0NTVVd0bz8/DNW+BmTG47O8tmSRJkiRJqnOLPnUuIhoi4pXVCqPlmRrqB6Cxs8qHgRceLpZMP/ceOO/nqntvSZIkSZK06ixaNKWU5oHfq1IWLdPc0BAADdUumvruKo5bzq/ufSVJkiRJ0qq0aNFUcmNE/G5E7IiITUdfmSdT2eaGCgA0Vnvr3OE7i2PvudW9ryRJkiRJWpXKOaPpstJ4+YJrCTir8nG0LCMjADR2VrFoOnwX/Pu7oedsaK5ywSVJkiRJklalJYumlNKZ1Qii5WsYHgOgsauKW+fu+AxMj8Kr/61695QkSZIkSavaklvnIqIlIv4wIq4sfd4VEZ78vErMzc/RNDbFfEPQ0NpavRs/9E3Y+jjYvKt695QkSZIkSataOWc0fRSYBp5e+rwfeGdmiXRSRmdGaZ9IzLU1ExHVuensNOzbA6c/fem/lSRJkiRJdaOcoukxKaU/B2YAUkrjQJUaDS2lMFWgbQJSR1v1bvrQN2BmHM58VvXuKUmSJEmSVr1yiqbpiGimeAA4EfEYYCrTVCpbYapA6yREZ3v1bnrPDdC4Ac56dvXuKUmSJEmSVr1ynjr3DuB6YEdE/D3wDOBXMsykk1CYLtA2kWg4tUoHgacEd18HZ/0MrK/imVCSJEmSJGnVK+epc1+IiJuAiylumXtTSulI5slUlsJUgbZJWNfVXZ0bHrkHBu+Hp/9Wde4nSZIkSZLWjCWLpoj4PPAJ4HMppbHsI+lkFKYKbJuAjd091bnhPTcUx3NeWJ37SZIkSZKkNaOcM5r+Angm8IOI+KeIeHlEbMw4l8o0PD5A8zQ092ypzg0f+ib07ILO7dW5nyRJkiRJWjOWLJpSSl9NKb0ROAv4IPBK4HDWwVSeyYHiLsamamydSwke/jbs+Kns7yVJkiRJktaccg4Dp/TUuRcDlwFPBq7KMpTKNzlYLJoaOzM+DDwl+J87YHoEdjwl23tJkiRJkqQ1qZwzmj4NPJXik+f+GvhqSmk+62Aqz+zgIACNnV3Z3mhyqFgyAZz7n7K9lyRJkiRJWpPKWdH0N8CrU0pzWYfRyZstDAHQ2JVx0VTYXxxf8TFo6832XpIkSZIkaU0qp2j6N+DyiHhW6fNXgQ+klGayi6WyDY8C0NiV8da54VLR1Lkj2/tIkiRJkqQ1q5yi6f3AOuB9pc+/XLr2a1mFUvkahseAKpzRVHi4OHb4tDlJkiRJknR85RRNT0kpPXHB53+LiO9nFUjlm0/zNI5OMN8QNLS1ZXejB74O17yl+L5ta3b3kSRJkiRJa1pDGX8zFxGPOfohIs4CPK9pFRibGaNtIjHXtpGIyO5G3//kj983lPOfjCRJkiRJqkflrGh6K/DliLgPCOB04HWZplJZClMF2iZhviPD1UwAE8Un23Hp/8j2PpIkSZIkaU1bsmhKKX0pInYB55Yu3Z1Smso2lspRmC7QNgGRddHUvxfOfRE87fJs7yNJkiRJkta0clY0USqWbs04i05ScUVTonFbhgeBz8/BwH2w6/nZ3UOSJEmSJNUED9xZw4anhmmbgHVd3dndZOghmJuCzbuyu4ckSZIkSaoJFk1rWGGquHVuQ/fm7G7Sv7c49pyd3T0kSZIkSVJNOOHWuYh48mI/TCndXPk4OhnD4wO0TMPGTb3Z3aT/h8WxxxVNkiRJkiRpcYud0fTu0rgR2A18n+JT554A7AGelm00LWV8oA+A9d2bsrvJkR/Cxk5ozXDVlCRJkiRJqgkn3DqXUnpOSuk5wAHgySml3Smli4AnAfurFVAnNjV4BIDGzq7sbtJ/b3HbXER295AkSZIkSTWhnDOazk0p3Xb0Q0rpduC87CKpXDNDgwA0dmb41LkjP3TbnCRJkiRJKstiW+eOujUiPgz8Xenza4Bbs4ukcs0PFQBo7MpoRdPEIIw8AlvPz2Z+SZIkSZJUU8opml4H/FfgTaXPXwPen1kilS0NjwDQ2JXRiqZDPyiOWyyaJEmSJEnS0pYsmlJKkxHxAeDalNLdVcikMsXIGJDh1rnDFk2SJEmSJKl8S57RFBE/D9wCXF/6fGFEfC7rYFpcSommkQlSBA1tbdnc5JHvwcYu6Dg1m/klSZIkSVJNKecw8D8GngoMAaSUbgHOzDKUljYxO0Hz+ByzbRuJhnL+NZ6kuVm4+zo4+xKfOCdJkiRJkspSTkMxk1IqHHMtZRFG5RueHqZtEuY7WrO5wQ+/ABMDcP7PZzO/JEmSJEmqOeUcBn5HRPwi0BgRu4ArgG9kG0tLKUwVaJuA6Mhg29zsNFz3e9CzC3ZdWvn5JUmSJElSTSpnRdNvARcAU8A/AMPAm7MMpaUVpgq0TSYaOjI4CHzvl6DwMLzgT2HdxsrPL0mSJEmSalI5T50bB95eemmVKEwXaJ+Apq6uyk9++2eguRse87zKzy1JkiRJkmpWOU+d+3xEfO6Y199GxJsiYtnLXSLiFRFxR0TMR8TuY757W0TcGxF3R8SlC66/sHTt3oj4g+XeuxYUVzTBhu6eyk9+6HbY+TRoWl/5uSVJkiRJUs0qZ+vcfcAo8KHSaxgYAc4pfV6u24GXAV9beDEizgdeRXG73guB90VEY0Q0Au8FfhY4H3h16W/r0vDYAC1T0NyzpfKTjxyE9m2Vn1eSJEmSJNW0cg4Df3pK6SkLPn8+Ir6bUnpKRNyx3BunlO4EiIhjv3oJ8MmU0hRwf0TcCzy19N29KaX7Sr/7ZOlvf7DcDGvZ+GAfABu6N1d24tmp4tPm2k+p7LySJEmSJKnmlbOiqS0idh79UHp/9FFn0xlk2g48vODzvtK1E13/CRHx+ojYExF7+vr6MoiYv8nBIwA0dlb4MPDRQ8XRokmSJEmSJJ2kclY0vQX4ekTsBQI4E3hjRLQCVy32w4i4ETheY/H2lNK/nGzYcqWUrgSuBNi9e3fK6j55mhkcAKCxq8JF08jB4thm0SRJkiRJkk5OOU+duzYidgGPLV26O6U0WXr/niV+e8kyMu0Hdiz4fFrpGotcrztzhQIAjZV+6tzRoskVTZIkSZIk6SSVs3UOYBdwLvBE4JUR8drsIvE54FURsSEizizd+zvAd4FdEXFmRKyneGD45zLMsarNDw8Dbp2TJEmSJEmrx5IrmiLij4FnU3zS27UUn/r2deDjK7lxRPwC8FdAL3BNRNySUro0pXRHRHya4iHfs8DlKaW50m9+E7gBaAQ+klJa9mHka10MjwEZFE0D90PjBmjpqey8kiRJkiSp5pVzRtPLKa5k+l5K6XURsRX4u5XeOKX0WeCzJ/juXcC7jnP9WoplV91bNzJBCmhob6/sxAdugVMeDw2NlZ1XkiRJkiTVvHK2zk2klOaB2YjoAA7z6LOSVGWTs5NsHJ9ltnUj0VDu7scyzM/DgVvh1CdVbk5JkiRJklQ3ylnRtCciuoAPATcBo8A3M02lRRWmCrRNwHxHa2UnHrgPpkfg1AsrO68kSZIkSaoLixZNERHA/0wpDQEfiIjrgY6U0q1VSafjKkwXaJ0EOtoqO/Hg/cWxZ1dl55UkSZIkSXVh0X1XKaXEgjORUkoPWDLlrzBVoH0i0VDpg8BHDhTHjm2VnVeSJEmSJNWFcg74uTkinpJ5EpVteGqYtklY19lV2YlHDhbHtq2VnVeSJEmSJNWFcs5o+ingNRHxIDAGBMXFTk/INJlOqDBdYOcErN+0ubITjxyAlh5o2lDZeSVJkiRJUl0op2i6NPMUOinDo/20TkHzpt4KT3wA2t02J0mSJEmSlmfJrXMppQeBHcBzS+/Hy/mdsjN5uLjFrXnrqZWdeOQAtJ9S2TklSZIkSVLdWLIwiog/Bn4feFvp0jrg77IMpcVN9x0GoGlLhVc0jRx0RZMkSZIkSVq2clYm/QLw8xTPZyKl9AjQnmUoLW6+fwCAps0VLJqmRmH0IHSdXrk5JUmSJElSXSmnaJpOKSUgAUREa7aRtJToHwKgqbeCh4Efubs4bnls5eaUJEmSJEl1pZyi6dMR8UGgKyJ+HbgR+FC2sbSYpsGR4tjTU7lJD99VHHvPq9yckiRJkiSpriz51LmU0l9ExPOBYeBc4I9SSl/MPJlOaH1hnMm29cS6dZWbtO8uaFwP3WdUbk5JkiRJklRXliyaIuJ3gE9ZLq0ezYUppjvbKjvpge9D77nQuOR/EpIkSZIkScdVzta5duALEfHvEfGbEbE161A6sem5aZrHZ5nvqmDRNDsND38Hdj69cnNKkiRJkqS6s2TRlFL6k5TSBcDlwDbgqxFxY+bJdFzD08O0TUC0V/DBf498D2Yn4IyfrtyckiRJkiSp7pSzoumow8BBoB/Ykk0cLWVocoi2SWjo7KjcpPv3FMedF1duTkmSJEmSVHeWLJoi4o0R8RXgS0AP8OsppSdkHUzHV5gu0DYJ67q6Kzfp4TuhZTO02R9KkiRJkqTlK+fk5x3Am1NKt2QdRksrDPexbRZSd0/lJu27C7acV7n5JEmSJElSXVqyaEopvQ0gIrYAGxdcfyjDXDqBsf6DADRv6q3MhClB393whMsqM58kSZIkSapb5Wyde3FE/BC4H/gq8ABwXca5dAITA30AtG6q0MP/Rg7C1DD0nluZ+SRJkiRJUt0q5zDwdwIXA/eklM4Engd8K9NUOqHJwX4AWjZV6DylkQPFsWN7ZeaTJEmSJEl1q5yiaSal1A80RERDSunLwO6Mc+kEZoYGAGjq6qrMhKOHi2NbhVZISZIkSZKkulXOYeBDEdEGfA34+4g4DIxlG0snMjs0BEBjZ2dlJhw7WjT5xDlJkiRJkrQy5axoegkwDvw2cD2wF3hxlqF0Yml4BICGShVNo4eKo0WTJEmSJElaoXKeOnd09dI8cFW2cbSUGBljviFoaG2tzISjh2FjJzRtqMx8kiRJkiSpbpWzokmrSOPoBNOt64mIykw4etjzmSRJkiRJUkVYNK0x60anmGmr4OojiyZJkiRJklQhZRVNEdEcEedmHUaLm5mfYeP4LKmtpXKTjh70fCZJkiRJklQRSxZNEfFi4BaKB4ETERdGxOeyDqafNDw1TNtkInW0VWbC+Xko7IfO0yoznyRJkiRJqmvlrGh6B/BUYAggpXQLcGaGmXQChakCrZPQ2FGhJ86NH4G5KejcUZn5JEmSJElSXSunaJpJKRWOuZayCKPFDU4N0jYB67q7KzPh0MPF0RVNkiRJkiSpAsopmu6IiF8EGiNiV0T8FfCNjHPpOAbHjtA6BRu6N1dmwoJFkyRJkiRJqpxyiqbfAi4ApoBPAAXgzVmG0vENDxwAoLliRdO+4mjRJEmSJEmSKqBpsS8johG4JqX0HODt1YmkExnrPwxA2+ZtK5toZgL+6Vfh/q/Bhg7Y2FWBdJIkSZIkqd4tuqIppTQHzEdEhU6f1kpMDPQBsLG7Z2UTfffDcPe1MD0KT3wVRFQgnSRJkiRJqneLrmgqGQVui4gvAmNHL6aUrsgslY5rarAfgMbOFfZ+d/4rbOiEXZfAM3+3AskkSZIkSZLKK5o+U3opZ7OFQQAaOlZYNI31FUuml3+kAqkkSZIkSZKKliyaUkpXRcR64JzSpbtTSjPZxtLxzBdGAGjsWmnRdARaKnSguCRJkiRJUsmSRVNEPBu4CngACGBHRPw/KaWvZRtNx4rhUQAaOzqWP8nsNEwVoLW3QqkkSZIkSZKKytk6927gBSmluwEi4hzgH4CLsgymn9QwOs5M8zqiqZx/bScwfqQ4trqiSZIkSZIkVdaiT50rWXe0ZAJIKd0DrMsuko5ncnaSjeOzzLU1r2yiseKT6yyaJEmSJElSpZWzNGZPRHwY+LvS59cAe7KLpOMZmhqibRJSe+vKJho7uqLJrXOSJEmSJKmyyima/itwOXBF6fO/A+/LLJGOa2hqiNaJRPS2r2yio0WTh4FLkiRJkqQKK6doagL+T0rpLwEiohHYkGkq/YTByUHaJqGpq2tlE/3ojKaelYeSJEmSJElaoJwzmr4ELDwYqBm4MZs4OpGhguYiCgAAIABJREFUqSHaJmB916aVTTRyEBo3wMYVFlaSJEmSJEnHKKdo2phSGj36ofS+JbtIOp6h0oqmjd0r3PI2egjat0JEZYJJkiRJkiSVlFM0jUXEk49+iIiLgInsIul4Rgp9NM1Dy6YtK5zoALRvq0woSZIkSZKkBco5o+nNwD9GxCNAAKcAl2WaSj9hbOAwAOu6u1c20cgh6D23AokkSZIkSZIebcmiKaX03Yh4LHC0nbg7pTSTbSwda2qgeIh3Q2fnyiYaOQhnPXvFeSRJkiRJko615Na5iHgFxXOabgdeCnxq4VY6Vcf00AAAjR0rKJqmx2GqUDyjSZIkSZIkqcLKOaPpv6WURiLip4HnAX8DvD/bWDrWXKEAQGPXCoqm0YPF0TOaJEmSJElSBsopmuZK438CPpRSugZYv5KbRsQrIuKOiJiPiN0Lrj8/Im6KiNtK43MXfPeViLg7Im4pvVZ4KvbakoZHAGhcyda5wr7i2HFqBRJJkiRJkiQ9WjmHge+PiA8Czwf+LCI2UF5BtZjbgZcBHzzm+hHgxSmlRyLiccANwPYF378mpbRnhfdec1JKxMgYsMKiaeD+4th9ZgVSSZIkSZIkPVo5RdMrgRcCf5FSGoqIbcBbV3LTlNKdABFx7PXvLfh4B9AcERtSSlMrud9aNzE7QfP4LPNNjcTGjcufaPABaGiCju1L/qkkSZIkSdLJKuepc+PAZxZ8PgAcyDJUyX8Gbj6mZPpoRMwBVwPvTCml4/0wIl4PvB5g586dmQfN2tDUEK2TMN/e8hPl3EkZvB+6dkJjOf2iJEmSJEnSyVnpFrgTiogbI+L247xeUsZvLwD+DHjDgsuvSSk9Hnhm6fXLJ/p9SunKlNLulNLu3t7elf6j5G5wapC2CUgdbSubaOB+6D6jIpkkSZIkSZKOldnSlpTSJcv5XUScBnwWeG1Kae+C+faXxpGI+ATwVODjlci62g1NDtE2CY2dHcufJKVi0bT9osoFkyRJkiRJWiCzFU3LERFdwDXAH6SU/mPB9aaI2Fx6vw74OYoHiteFuTRH91QT6zq7lz9JYR9MFWDr+ZULJkmSJEmStEAuRVNE/EJE7AOeBlwTETeUvvpN4GzgjyLiltJrC7ABuCEibgVuAfYDH8ojex6eddqzOL1hM209pyx/kkOlXm7r4ysTSpIkSZIk6Ri5nAqdUvosxe1xx15/J/DOE/ysrvd8zQ8VaOzsXP4EPyqaXNEkSZIkSZKysaq2zun40vQ08+PjNHatoGjquwc6d8KG9soFkyRJkiRJWsCiaQ2YGx4GoGElK5rGj0Db2n8CnyRJkiRJWr0smtaAo0VTY8cKiqaJQWjeVKFEkiRJkiRJP8miaQ2YGyoArOyMpvEBaF7BU+skSZIkSZKWYNG0BswVhgBWdkbTxBC0uKJJkiRJkiRlx6JpDWjq7qb90ktp2rJleRPMzcJUwRVNkiRJkiQpU015B9DSmi+8kNP+z3uWP8HkUGkiVzRJkiRJkqTsuKKpHowPFEdXNEmSJEmSpAxZNNWDicHi2GLRJEmSJEmSsmPRVA8mXNEkSZIkSZKyZ9FUD/ruLo6tyzxMXJIkSZIkqQwWTbVubha+cyWc/tPQtSPvNJIkSZIkqYZZNNW6w3fA8H646FfyTiJJkiRJkmqcRVOtO3BrcTz1SfnmkCRJkiRJNc+iqdYdvBXWt8Gms/JOIkmSJEmSapxFU607eBtsfRw0+K9akiRJkiRly/ah1vXfC73n5J1CkiRJkiTVAYumWjY9BmN90HV63kkkSZIkSVIdsGiqZUMPFcfuM3KNIUmSJEmS6oNFUy0bfLA4uqJJkiRJkiRVgUVTLRsqFU3dFk2SJEmSJCl7Fk21bPBBWNcCrb15J5EkSZIkSXXAoqmWDT5Q3DYXkXcSSZIkSZJUByyaatnQg26bkyRJkiRJVWPRVKtSKm6d8yBwSZIkSZJUJRZNtWpiEKZHXNEkSZIkSZKqxqKpVg0+UBy7z8gzhSRJkiRJqiMWTbXqwf8ojlsvyDeHJEmSJEmqGxZNteqOf4ZtT3RFkyRJkiRJqhqLplo0MwH798CuS/NOIkmSJEmS6ohFUy0q7CuOPWfnm0OSJEmSJNUVi6ZaNPRgcezakW8OSZIkSZJUVyyaatHQw8Wxa2e+OSRJkiRJUl2xaKpFQw9BQxO0b8s7iSRJkiRJqiMWTbWo8DB0bIeGxryTSJIkSZKkOmLRVIuGDxSLJkmSJEmSpCqyaKpF4/3QsinvFJIkSZIkqc5YNNWiiQFo6ck7hSRJkiRJqjMWTbUmpdKKJosmSZIkSZJUXRZNtWZqGOZnLZokSZIkSVLVWTTVmvH+4mjRJEmSJEmSqsyiqdaMDxRHiyZJkiRJklRlFk21xhVNkiRJkiQpJxZNteZHRdOmfHNIkiRJkqS6Y9FUa1zRJEmSJEmScmLRVGtGDkJTM2xozzuJJEmSJEmqMxZNtWbkILRvhYi8k0iSJEmSpDpj0VRrRg9B+7a8U0iSJEmSpDpk0VRrRg5A29a8U0iSJEmSpDpk0VRrRg5B+yl5p5AkSZIkSXXIoqmWTI3A9IhFkyRJkiRJyoVFUy15/zOKY5tFkyRJkiRJqr5ciqaIeEVE3BER8xGxe8H1MyJiIiJuKb0+sOC7iyLitoi4NyL+b4SPVXuUlGDoweL7c1+YbxZJkiRJklSX8lrRdDvwMuBrx/lub0rpwtLrNxZcfz/w68Cu0ss2ZaHJQnF8wbuguTvfLJIkSZIkqS7lUjSllO5MKd1d7t9HxDagI6X0rZRSAj4OvDSzgGvRWF9xbNuSbw5JkiRJklS3VuMZTWdGxPci4qsR8czSte3AvgV/s6907bgi4vURsSci9vT19WWZdfUYPVwcW3vzzSFJkiRJkupWU1YTR8SNwPFOpX57SulfTvCzA8DOlFJ/RFwE/HNEXHCy904pXQlcCbB79+50sr9fk8ZKRZMrmiRJkiRJUk4yK5pSSpcs4zdTwFTp/U0RsRc4B9gPnLbgT08rXdNRo6WVW60WTZIkSZIkKR+rautcRPRGRGPp/VkUD/2+L6V0ABiOiItLT5t7LXCiVVH1aawPogFaNuWdRJIkSZIk1alciqaI+IWI2Ac8DbgmIm4offUs4NaIuAX4J+A3UkoDpe/eCHwYuBfYC1xX5dir29hhaOmBhsa8k0iSJEmSpDqV2da5xaSUPgt89jjXrwauPsFv9gCPyzja2jXa57Y5SZIkSZKUq1W1dU4rMHYY2nzinCRJkiRJyo9FU60YPeyKJkmSJEmSlCuLplox1gdtFk2SJEmSJCk/Fk21YGoUZsah1a1zkiRJkiQpPxZNtWDscHF0RZMkSZIkScqRRVMtGO0rjp7RJEmSJEmScmTRVAt+tKLJrXOSJEmSJCk/Fk21YOjh4thxWr45JEmSJElSXbNoqgWD98OGDmjZlHcSSZIkSZJUxyyaasHA/dB9BkTknUSSJEmSJNUxi6ZaMHAfbDoz7xSSJEmSJKnOWTStdfNzMPQQbDor7ySSJEmSJKnOWTStdaOHYX4GOj0IXJIkSZIk5cuiaa0bP1IcW3vzzSFJkiRJkuqeRdNaN1Yqmlo255tDkiRJkiTVPYumtW68vzi2WjRJkiRJkqR8WTStda5okiRJkiRJq4RF01o3fgSigf+/vTuPj7K6+z7+OUkgCQTDTtFUEyAgS0JCQkQBTbGC1AWJpYA8ynLTW5TVCoJWClSx8Dwp4I1UCoWAoBALspTWW0UTZFEwgWHfMSItlkXCkrAFzvPHDNOELBAyZDLwfb9e87rmOudcZ34znNdF8ss5Zwiu4e1IREREREREROQ2p0STr8s9DsE1wU//lCIiIiIiIiLiXcpO+LqcY1CllrejEBERERERERFRosnn5R7XRuAiIiIiIiIiUiEo0eTrzhyBqnW8HYWIiIiIiIiICAHeDkDK6PQP0Ojn3o5CRERERERESuHixYscOnSIc+fOeTsUkRIFBQURFhZGpUqVrqu9Ek2+7PxpuHAaqv3E25GIiIiIiIhIKRw6dIhq1aoRHh6OMcbb4YgUyVrL8ePHOXToEBEREdd1jZbO+bLT/3Yeq9X3bhwiIiIiIiJSKufOnaNWrVpKMkmFZoyhVq1apZp5p0STLzt92HnUjCYRERERERGfoyST+ILSjlMlmnzZ6R+cR81oEhEREREREZEKQIkmX6YZTSIiIiIiInKD/P39iYmJcT+ysrKKbTtnzhwGDRoEwNixY0lOTr6h18zKyqJFixbXbPPBBx/cUP/XY/r06bz33nsltsnIyGDIkCHF1l8d47Xa3060GbgvO/k9VK4GgdW8HYmIiIiIiIj4mODgYBwOh7fDKORKEueZZ5657mvy8vIICLi+FMeAAQOu2SY+Pp74+PjrjvFa7W8nSjT5sqO7oXYkaF2viIiIiIiIzxr3t+3s+Ncpj/bZ7M47GPNE81JfFx4eTkZGBrVr1yYjI4Phw4eTnp5eZNv9+/fTrVs3Nm7cCMDevXvp3r27+/yKzMxM+vXrB0DHjh3d5ZcuXWLUqFGkp6dz/vx5Bg4cyPPPP8+oUaPYuXMnMTEx9O7dmyFDhhTZLj09ndGjR1OjRg127drFjBkzGDNmDNWrV2fr1q386le/IioqirfffpuzZ8+ydOlSGjZsyNixYwkJCWH48OEkJiZy3333kZaWRnZ2NrNmzaJ9+/akp6eTnJzMihUrWLVqFUOHDgWc+xV9+eWXhWKMjY11tz9z5gyDBw8mIyMDYwxjxozh6aefLvW/ha/S0jlfdmwP1Gni7ShERERERETEB509e9a9bK5r166lvr5hw4aEhoa6Z0WlpKTQt2/fQu369u3L1KlT2bx5c4HyWbNmERoayjfffMM333zDzJkz+fbbb5kwYQLt27fH4XDw0ksvFdsOYOPGjbz99tvs2bMHgM2bNzN9+nR27tzJvHnz2LNnDxs2bKB///5MnTq1yPeRl5fHhg0bmDJlCuPGjStUn5yczLRp03A4HKxevZrg4OBCMeb3xhtvEBoaytatW9myZQsdOnQo9WfryzSjyVedO+nco6l2Y29HIiIiIiIiImVwIzOPPMETS+f69+9PSkoKkyZNIjU1lQ0bNhSoz87OJjs7mwcffBCAZ599lo8//hiATz/9lC1btrBo0SIATp48yd69e6lcuXKBPkpql5CQQEREhLtt69atqV/f+YVZDRs2dM+gioqKIi0trcj3kJSUBEBcXFyR+1S1bduW3/zmN/Tq1YukpCTCwsJK/ExWrlzJwoUL3ec1atQosf2tRokmX3Vsn/OoGU0iIiIiIiLiIQEBAVy+fBmAc+fOXbP9008/zbhx4+jQoQNxcXHUqlXrul/LWsvUqVPp1KlTgfKrl+qV1K5q1aoFygIDA93P/fz83Od+fn7k5eUVGceVNv7+/kW2GTVqFI899hj/+Mc/aNu2LZ988sn1vcHblJbO+apTh5zH6nd7Nw4RERERERG5ZYSHh5OZmQnA4sWLr9k+KCiITp068cILLxS5bK569epUr16dNWvWAPD++++76zp16sS7777LxYsXAdizZw85OTlUq1aN06dPX7Ndedm/fz9RUVGMHDmS1q1bs2vXrkIx5vfII48wbdo09/mJEyfKK9QKQYkmX3X6B+exWn3vxiEiIiIiIiK3jDFjxjB06FDi4+Px9/e/rmt69eqFn59fgY2+80tJSWHgwIHExMRgrXWX9+/fn2bNmtGqVStatGjB888/T15eHtHR0fj7+9OyZUsmT55cbLvyMmXKFFq0aEF0dDSVKlWic+fOhWLM7/XXX+fEiRO0aNGCli1bFrtk71Zl8v8j34ri4+NtRkaGt8PwvJVjYd1UeP0o+ClfKCIiIiIi4kt27txJ06ZNvR2GRyQnJ3Py5EneeOMNb4ciN0lR49UYk2mtjb+6rfZo8lWn/w0hP1GSSURERERERLyma9eu7N+/ny+++MLboUgFoUSTrzp9GKrV83YUIiIiIiIichtbsmSJt0OQCkbTYXzVmX9rfyYRERERERERqVCUaPJVpw9DiGY0iYiIiIiIiEjFoUSTL8o7D2dPaEaTiIiIiIiIiFQoSjT5otM/OI/ao0lEREREREREKhAlmnzRmX87j5rRJCIiIiIiIjfo0KFDdOnShcjISBo0aMCgQYM4f/48AOnp6Tz++OM3PYb+/fuzY8eOm/461zJ27FjuuusuYmJiaNGiBcuXLy+xfXh4OMeOHQPggQceKI8QC0hPT2fdunXu8+nTp/Pee++VexxFUaLJF50+7DxqjyYRERERERG5AdZakpKSeOqpp9i7dy979+7l7NmzvPLKKx59nby8vBLr//KXv9CsWTOPvuaNeumll3A4HPz1r3+lX79+XL58+bquy5/wKS9XJ5oGDBjAc889V+5xFCXA2wHIDXAvndOMJhEREREREZ/38Sj4Yatn+/xJFHSeUGz1F198QVBQEH379gXA39+fyZMnc8899zB+/PgCbXNychg8eDDbtm3j4sWLjB07li5dupCVlcWzzz5LTk4OAO+88w4PPPAA6enpjB49mho1arBr1y5mzJjB2LFjqV27Ntu2bSMuLo758+djjCExMZHk5GTi4+MJCQlh6NChrFixguDgYJYtW0a9evXYv38/vXr1Iicnhy5dujBlyhTOnDlT6D1NmjSJ2bNnA86ZUsOGDSMrK4vOnTvTrl071q1bx1133cWyZcsIDg4u9rNp2rQpAQEBHDt2jM8//5y33noLay2PPfYYEydOLNQ+JCTEHc/EiROZP38+fn5+dO7cmV//+td069aNjRs3ArB37166d+/uPr/C4XAwYMAAcnNzadiwIbNnz6ZGjRokJibSsmVLVq1aRV5eHrNnz6Zu3bpMnz4df39/5s+fz9SpU/n8888JCQlh+PDhJfZ13333kZaWRnZ2NrNmzaJ9+/Zs376dvn37cuHCBS5fvszixYuJjIws9vO5Fs1o8kWnfwC/AKhSy9uRiIiIiIiIiA/avn07cXFxBcruuOMOwsPD2bdvX4Hy8ePH06FDBzZs2EBaWhojRowgJyeHunXr8tlnn7Fx40ZSU1MZMmSI+5qNGzfy9ttvs2fPHgA2bdrElClT2LFjBwcOHGDt2rWFYsrJyaFNmzZs3ryZBx98kJkzZwIwdOhQhg4dytatWwkLCyvy/WRmZpKSksL69ev5+uuvmTlzJps2bQKcyZ2BAweyfft2qlevzuLFi0v8bNavX4+fnx8XL15k5MiRfPHFFzgcDr755huWLl1a7HUff/wxy5YtY/369WzevJlXXnmFhg0bEhoaisPhACAlJcWd3MvvueeeY+LEiWzZsoWoqCjGjRvnrsvNzcXhcPCnP/2Jfv36ER4ezoABA9wzsNq3b3/dfeXl5bFhwwamTJniLp8+fTpDhw7F4XCQkZFR7Gd8vTSjyRed+pdz2Zyf8oQiIiIiIiI+r4SZRxXBp59+yvLly0lOTgbg3LlzHDx4kDvvvJNBgwbhcDjw9/d3J5UAEhISiIiIKHB+JYERExNDVlYW7dq1K/A6lStXdu8LFRcXx2effQbAV1995U7wPPPMMwwfPrxQjGvWrKFr165UrVoVgKSkJFavXs2TTz5JREQEMTEx7n6zsrKKfJ+TJ09m/vz5VKtWjdTUVDIyMkhMTKROnToA9OrViy+//JKnnnqqyOtXrlxJ3759qVKlCgA1a9YEnLOrUlJSmDRpEqmpqWzYsKHAdSdPniQ7O5uHHnoIgN69e9OtWzd3fc+ePQF48MEHOXXqFNnZ2UW+/vX0lZSUVOhzuP/++xk/fjyHDh0iKSmpTLOZQDOafM+3X8LWD+En0d6ORERERERERHxUs2bNyMzMLFB26tQpfvjhB5o0aVKg3FrL4sWLcTgcOBwODh48SNOmTZk8eTL16tVj8+bNZGRkcOHCBfc1VxI+VwQGBrqf+/v7F7l3U6VKlTDGlNjmRlzPa8N/9mhavXp1oVlCZfH000/z8ccfs2LFCuLi4qhVq3Srk658JsWdl8aVzyL/5/DMM8+wfPlygoOD+cUvfsEXX3xxw/2DEk2+J2stWAtJf/Z2JCIiIiIiIuKjHn74YXJzc93fVHbp0iVefvllBg0aVGj/ok6dOjF16lSstQDuJWknT56kfv36+Pn5MW/ePC5dunRTYm3Tpo17udvChQuLbNO+fXuWLl1Kbm4uOTk5LFmypMzJooSEBFatWsWxY8e4dOkSCxYscM8UKsojjzxCSkoKubm5APz4448ABAUF0alTJ1544YUil82FhoZSo0YNVq9eDcC8efMKvE5qairgnLUVGhpKaGgo1apV4/Tp06XuqygHDhygQYMGDBkyhC5durBly5YS21+LEk2+5tQ/ncvmgkK9HYmIiIiIiIj4KGMMS5YsYdGiRURGRlKrVi38/Pz47W9/W6jt6NGjuXjxItHR0TRv3pzRo0cD8OKLLzJ37lxatmzJrl27Cs1i8pQpU6YwadIkoqOj2bdvH6GhhX8fbtWqFX369CEhIYH77ruP/v37ExsbW6bXrV+/PhMmTOBnP/sZLVu2JC4uji5duhTb/tFHH+XJJ58kPj6emJgY91JDcC678/Pzo2PHjkVeO3fuXEaMGEF0dDQOh4Pf/e537rqgoCBiY2MZMGAAs2bNAuCJJ55gyZIlxMTEuJNK19NXUT788ENatGhBTEwM27ZtK/O315krGclbVXx8vM3IyPB2GJ4zLwnOnoD/TvN2JCIiIiIiInKDdu7cSdOmTb0dhtu6devo2bMnS5YsoVWrVt4Op4Dc3FyCg4MxxrBw4UIWLFjAsmXLvB1WqSQnJ3Py5EneeOONUl2X/1v5vKmo8WqMybTWFgpMm4H7mlP/gloNvR2FiIiIiIiI3EIeeOABvvvuO2+HUaTMzEwGDRqEtZbq1asze/Zsb4dUKl27dmX//v1l3vvIV3gl0WSM6QaMBZoCCdbaDFd5L2BEvqbRQCtrrcMYkw7UB8666jpaa4+UW9AVxal/QcSD3o5CREREREREpFy0b9+ezZs3ezuMG7ZkyZIbvjY9Pd1zgZQTb81o2gYkAQV2tLbWvg+8D2CMiQKWWmsd+Zr0upKUui2dPw3nT8Idd3o7EhERERERERGRQrySaLLW7oRrfiVfT6Do7eRvV6d/cB6VaBIRERERERGRCqgif+tcd2DBVWUpxhiHMWa0KSFLZYz5b2NMhjEm4+jRozc3yvKUc8x5rFrbu3GIiIiIiIiIiBThpiWajDErjTHbingU/12A/7n2PiDXWrstX3Eva20U0N71eLa46621M6y18dba+Dp16pT5vVQYua5EU5Va3o1DRERERERERKQINy3RZK39ubW2RRGP6/kOwh5cNZvJWvtP1/E08AGQ4PmoK7jc485jFc1oEhERERERkbIZP348zZs3Jzo6mpiYGNavX09iYiJ333031lp3u6eeeoqQkBAAsrKyCA4OJjY2lqZNm5KQkMCcOXPcbefMmUOdOnWIiYmhWbNmzJw5s7zflniZtzYDL5Yxxg/4Fc5ZS1fKAoDq1tpjxphKwOPASi+F6D3uRFNN78YhIiIiIiIiPu2rr75ixYoVbNy4kcDAQI4dO8aFCxcAqF69OmvXrqVdu3ZkZ2dz+PDhAtc2bNiQTZs2AXDgwAGSkpKw1tK3b18AunfvzjvvvMORI0do3rw5Tz75JPXq1SvfNyhe45VEkzGmKzAVqAP83RjjsNZ2clU/CHxvrT2Q75JA4BNXkskfZ5Lp9kuL5hyHSlWhUrC3IxEREREREREPmbhhIrt+3OXRPu+teS8jE0YWW3/48GFq165NYGAgALVr/2flTI8ePVi4cCHt2rXjo48+Iikpie3btxfZT4MGDZg0aRIvv/yyO9F0Rd26dWnYsCHfffedEk23Ea9sBm6tXWKtDbPWBlpr6+VLMmGtTbfWtrmqfY61Ns5aG22tbW6tHWqtvVT+kXtZ7nGoqv2ZREREREREpGw6duzI999/T+PGjXnxxRdZtWqVu+7hhx/myy+/5NKlSyxcuJDu3buX2FerVq3YtatwouzAgQMcOHCARo0aeTx+qbgq3NI5KUHuMW0ELiIiIiIicospaebRzRISEkJmZiarV68mLS2N7t27M2HCBAD8/f1p164dCxcu5OzZs4SHh5fYV/79nABSU1NZs2YNgYGB/PnPf6ZmTW3/cjtRosmX5B5XoklEREREREQ8wt/fn8TERBITE4mKimLu3Lnuuh49etC1a1fGjh17zX42bdpE06ZN3edX9miS25NXls7JDcpRoklERERERETKbvfu3ezdu9d97nA4uOeee9zn7du359VXX6Vnz54l9pOVlcXw4cMZPHjwTYtVfItmNPkKayHnKFSt4+1IRERERERExMedOXOGwYMHk52dTUBAAI0aNWLGjBn88pe/BMAYw/Dhw4u8dv/+/cTGxnLu3DmqVavGkCFD6NOnTzlGLxWZEk2+4kIO5J1VoklERERERETKLC4ujnXr1hUqT09PL7L9mTNnAAgPD+fs2bPF9tunTx8lnW5zWjrnK3KOOI8hdb0bh4iIiIiIiIhIMZRo8hU5x5xHzWgSERERERERkQpKiSZfccY1o0mJJhERERERERGpoJRo8hU5R51HJZpEREREREREpIJSoslXuBNNtb0bh4iIiIiIiIhIMZRo8hU5RyEoFAICvR2JiIiIiIiIiEiRlGjyFWeOaNmciIiIiIiIeExISIj7+fbt2+nQoQNNmjQhMjKSN954A2utu37p0qVER0dz77330qJFCxYtWuSu69OnT4Fzub0p0eQrco5B1brejkJERERERERuMWfPnuXJJ59k1KhR7N69m82bN7Nu3Tr+9Kc/AbB582aGDx/OsmXL2LVrF3/7298YOXIkmZmZXo5cKqIAbwcg1ynnCNS519tRiIiIiIiIiIczjfKOAAAThklEQVT98NZbnN+5y6N9Bja9l5+89tp1tf3ggw9o27YtHTt2BKBKlSq88847JCYmMnDgQJKTk3nttdeIiIgAICIigtdee40//vGPfPDBBx6NW3yfZjT5ipyjEKIZTSIiIiIiIuJZ27dvJy4urkBZw4YNOXPmDKdOnSqyPj4+nh07dpRnmOIjNKPJF1y6CGdPaI8mERERERGRW9D1zjwS8QWa0eQLco45j0o0iYiIiIiIiIc1a9as0H5LBw4cICQkhDvuuKPI+szMTOLj48szTPERSjT5gpwjzqMSTSIiIiIiIuJhvXr1Ys2aNaxcuRJwbg4+ZMgQXnnlFQCGDx/OH/7wB7KysgDIyspiypQpjBgxwlshSwWmRJMvyDnqPGqPJhEREREREfGw4OBgli1bxptvvkmTJk2IioqidevWDBo0CICYmBgmTpzIE088QePGjWncuDHvvvsuTZo0cffx/PPPExYWRlhYGPfff7+33opUANqjyRdYoFYjJZpERERERETEY86cOeN+HhUVRXp6erFtk5KSSEpKAmDUqFG8/vrrfPLJJ1SuXJk5c+bc5EjFlyjR5Asifw6RmdduJyIiIiIiInKTTZgwwdshSAWmpXMiIiIiIiIiIuIRSjSJiIiIiIiIiIhHKNEkIiIiIiIiIiIeoUSTiIiIiIiIiIh4hBJNIiIiIiIiIiLiEUo0iYiIiIiIiNyGxo8fT/PmzYmOjiYmJob169eX2D4xMZGMjIwyv+6cOXMYNGhQmfvxlLFjx5KcnAzA7373O1auXOmRfg8fPszjjz8OwIULF+jbty9RUVG0bNmS9PT0Iq/p3r07MTExxMTEEB4eTkxMDABbt26lT58+HonrZgvwdgAiIiIiIiIiUr6++uorVqxYwcaNGwkMDOTYsWNcuHDB22F5VF5eHgEBpUt7/P73v/fY60+aNIlf//rXAMycORNwJoyOHDlC586d+eabb/DzKzj/JzU11f385ZdfJjQ0FICoqCgOHTrEwYMHufvuuz0W482gGU0iIiIiIiIiXrbkjxsLPbamHwLg4oVLRdbvXHcYgLNnLhSqu5bDhw9Tu3ZtAgMDAahduzZ33nknAJ9//jmxsbFERUXRr18/zp8/X+Da6dOnM2LECPd5/hlK8+fPJyEhgZiYGJ5//nkuXboEQEpKCo0bNyYhIYG1a9cWGdOqVavcs3liY2M5ffo0ABMnTnTPBBo1ahQADoeDNm3aEB0dTdeuXTlx4gTgnHU1bNgw4uPjefvtt8nMzOShhx4iLi6OTp06cfjw4RI/lz59+rBo0SIAwsPDGTNmDK1atSIqKopdu3YBkJOTQ79+/UhISCA2NpZly5YV2dfixYt59NFHAdixYwcdOnQAoG7dulSvXr3E2WHWWj788EN69uzpLnviiSdYuHBhifFXBEo0iYiIiIiIiNxmOnbsyPfff0/jxo158cUXWbVqFQDnzp2jT58+pKamsnXrVvLy8nj33XcLXPv000+zZMkS93lqaio9evRg586dpKamsnbtWhwOB/7+/rz//vscPnyYMWPGsHbtWtasWcOOHTuKjCk5OZlp06bhcDhYvXo1wcHBfPzxxyxbtoz169ezefNmXnnlFQCee+45Jk6cyJYtW4iKimLcuHHufi5cuEBGRgZDhgxh8ODBLFq0iMzMTPr168dvf/vbUn1OtWvXZuPGjbzwwgvu5XXjx4+nQ4cObNiwgbS0NEaMGEFOTk6B67799ltq1KjhTuS1bNmS5cuXk5eXx7fffktmZibff/99sa+7evVq6tWrR2RkpLssPj6e1atXlyp+b9DSOREREREREREv6/pyq2LrKlX2L7E+OKRyifVFCQkJITMzk9WrV5OWlkb37t2ZMGECsbGxRERE0LhxYwB69+7NtGnTGDZsmPvaOnXq0KBBA77++msiIyPZtWsXbdu2Zdq0aWRmZtK6dWsAzp49S926dVm/fj2JiYnUqVMHcO5DtGfPnkIxtW3blt/85jf06tWLpKQkwsLCWLlyJX379qVKlSoA1KxZk5MnT5Kdnc1DDz3kjrFbt27ufrp37w7A7t272bZtG4888ggAly5don79+qX6nJKSkgCIi4vjo48+AuDTTz9l+fLl7sTTuXPnOHjwIE2bNnVfd/jwYff7BejXrx87d+4kPj6ee+65hwceeAB/f/9iX3fBggUFZjOBcybUv/71r1LF7w1KNImIiIiIiIjchvz9/UlMTCQxMZGoqCjmzp1LbGzsdV3bo0cPPvzwQ+699166du2KMQZrLb179+YPf/hDgbZLly69rj5HjRrFY489xj/+8Q/atm3LJ598Uur3BFC1alXAufysefPmfPXVVzfUD+CekeTv709eXp6738WLF9OkSZNirwsODubcuXPu84CAACZPnuw+f+CBB9zJvKvl5eXx0UcfkZmZWaD83LlzBAcH3/B7KS9aOiciIiIiIiJym9m9ezd79+51nzscDu655x6aNGlCVlYW+/btA2DevHnumUP5de3alWXLlrFgwQJ69OgBwMMPP8yiRYs4cuQIAD/++CPfffcd9913H6tWreL48eNcvHiRv/71r0XGtH//fqKiohg5ciStW7dm165dPPLII6SkpJCbm+vuMzQ0lBo1ariXkRUXY5MmTTh69Kg70XTx4kW2b99+ox+ZW6dOnZg6dSrWWgA2bdpUqE3jxo3Jyspyn+fm5rqX13322WcEBATQrFmzIvtfuXIl9957L2FhYQXK9+zZQ4sWLcoc/82mGU0iIiIiIiIit5kzZ84wePBgsrOzCQgIoFGjRsyYMYOgoCBSUlLo1q0beXl5tG7dmgEDBhS6vkaNGjRt2pQdO3aQkJAAQLNmzXjzzTfp2LEjly9fplKlSkybNo02bdowduxY7r//fqpXr05MTEyRMU2ZMoW0tDT8/Pxo3rw5nTt3JjAwEIfDQXx8PJUrV+YXv/gFb731FnPnzmXAgAHk5ubSoEEDUlJSCvVXuXJlFi1axJAhQzh58iR5eXkMGzaM5s2bl+mzGz16NMOGDSM6OprLly8TERHBihUrCrSpWrUqDRs2ZN++fTRq1IgjR47QqVMn/Pz8uOuuu5g3b567bf/+/RkwYADx8fEALFy4sNCyOYC0tDQee+yxMsVeHsyVDNytKj4+3pa0k7uIiIiIiIhIedu5c2eBPX3k1rNkyRIyMzN58803y9zX+fPneeihh1izZg0BAeU/Z6io8WqMybTWxl/dVjOaREREREREREQ8rGvXrhw/ftwjfR08eJAJEyZ4JclUWhU/QhERERERERERH9S/f3+P9BMZGUlkZKRH+rrZtBm4iIiIiIiIiBfc6lvZyK2htONUiSYRERERERGRchYUFMTx48eVbJIKzVrL8ePHCQoKuu5rtHROREREREREpJyFhYVx6NAhjh496u1QREoUFBREWFjYdbdXoklERERERESknFWqVImIiAhvhyHicVo6JyIiIiIiIiIiHqFEk4iIiIiIiIiIeIQSTSIiIiIiIiIi4hHmVt/h3hhzFPjO23F4QG3gmLeDEJ+mMSSeoHEkZaUxJGWlMSRlpTEkZaUxJGV1q4yhe6y1da4uvOUTTbcKY0yGtTbe23GI79IYEk/QOJKy0hiSstIYkrLSGJKy0hiSsrrVx5CWzomIiIiIiIiIiEco0SQiIiIiIiIiIh6hRJPvmOHtAMTnaQyJJ2gcSVlpDElZaQxJWWkMSVlpDElZ3dJjSHs0iYiIiIiIiIiIR2hGk4iIiIiIiIiIeIQSTSIiIiIiIiIi4hFKNPkAY8yjxpjdxph9xphR3o5HKiZjzE+NMWnGmB3GmO3GmKGu8prGmM+MMXtdxxqucmOM+R/XuNpijGnl3XcgFYUxxt8Ys8kYs8J1HmGMWe8aK6nGmMqu8kDX+T5Xfbg345aKwRhT3RizyBizyxiz0xhzv+5DUhrGmJdc/49tM8YsMMYE6T4kJTHGzDbGHDHGbMtXVur7jjGmt6v9XmNMb2+8F/GOYsbQ/3P9X7bFGLPEGFM9X92rrjG02xjTKV+5fm+7TRU1hvLVvWyMscaY2q7zW/4+pERTBWeM8QemAZ2BZkBPY0wz70YlFVQe8LK1thnQBhjoGiujgM+ttZHA565zcI6pSNfjv4F3yz9kqaCGAjvznU8EJltrGwEngP9ylf8XcMJVPtnVTuRt4H+ttfcCLXGOJd2H5LoYY+4ChgDx1toWgD/QA92HpGRzgEevKivVfccYUxMYA9wHJABjriSn5LYwh8Jj6DOghbU2GtgDvArg+vm6B9Dcdc2fXH+k0+9tt7c5FB5DGGN+CnQEDuYrvuXvQ0o0VXwJwD5r7QFr7QVgIdDFyzFJBWStPWyt3eh6fhrnL3d34Rwvc13N5gJPuZ53Ad6zTl8D1Y0x9cs5bKlgjDFhwGPAX1znBugALHI1uXoMXRlbi4CHXe3lNmWMCQUeBGYBWGsvWGuz0X1ISicACDbGBABVgMPoPiQlsNZ+Cfx4VXFp7zudgM+stT9aa0/gTDIU+qVRbk1FjSFr7afW2jzX6ddAmOt5F2Chtfa8tfZbYB/O39n0e9ttrJj7EDj/CPIKkP9b2G75+5ASTRXfXcD3+c4PucpEiuVaOhALrAfqWWsPu6p+AOq5nmtsSVGm4PzP8LLrvBaQne8HrfzjxD2GXPUnXe3l9hUBHAVSXMsv/2KMqYruQ3KdrLX/BJJx/uX3MM77Sia6D0nplfa+o/uRlKQf8LHrucaQXBdjTBfgn9bazVdV3fJjSIkmkVuMMSYEWAwMs9aeyl9nrbUUzKaLuBljHgeOWGszvR2L+KwAoBXwrrU2FsjhP8tVAN2HpGSuJQJdcCYt7wSq4qN/zZWKQ/cdKQtjzG9xblHxvrdjEd9hjKkCvAb8ztuxeIMSTRXfP4Gf5jsPc5WJFGKMqYQzyfS+tfYjV/G/ryxFcR2PuMo1tuRqbYEnjTFZOKd7d8C530511xIWKDhO3GPIVR8KHC/PgKXCOQQcstaud50vwpl40n1IrtfPgW+ttUettReBj3Dem3QfktIq7X1H9yMpxBjTB3gc6OVKWILGkFyfhjj/aLLZ9bN1GLDRGPMTboMxpERTxfcNEOn6tpXKODeeW+7lmKQCcu1JMQvYaa2dlK9qOXDlGwt6A8vylT/n+taDNsDJfFPM5TZkrX3VWhtmrQ3Hea/5wlrbC0gDfulqdvUYujK2fulqr78Y38astT8A3xtjmriKHgZ2oPuQXL+DQBtjTBXX/2tXxpDuQ1Japb3vfAJ0NMbUcM2s6+gqk9uUMeZRnNsJPGmtzc1XtRzoYZzfehmBc0PnDej3NsnHWrvVWlvXWhvu+tn6ENDK9bPSLX8fCrh2E/Ema22eMWYQzgHmD8y21m73clhSMbUFngW2GmMcrrLXgAnAh8aY/wK+A37lqvsH8AucGxjmAn3LN1zxISOBhcaYN4FNuDZ6dh3nGWP24dz8sIeX4pOKZTDwvuuH7AM47y1+6D4k18Fau94YswjYiHOpyiZgBvB3dB+SYhhjFgCJQG1jzCGc39pUqp9/rLU/GmPewJksAPi9tbaojX3lFlTMGHoVCAQ+c33HwNfW2gHW2u3GmA9xJsHzgIHW2kuufvR7222qqDFkrZ1VTPNb/j5k9EcfERERERERERHxBC2dExERERERERERj1CiSUREREREREREPEKJJhERERERERER8QglmkRERERERERExCOUaBIREREREREREY9QoklERETkBhhjLhljHPkeo67RfoAx5jkPvG6WMaZ2WfsRERERuRmMtdbbMYiIiIj4HGPMGWttiBdeNwuIt9YeK+/XFhEREbkWzWgSERER8SDXjKP/a4zZaozZYIxp5Cofa4wZ7no+xBizwxizxRiz0FVW0xiz1FX2tTEm2lVeyxjzqTFmuzHmL4DJ91r/x/UaDmPMn40x/q7HHGPMNlcML3nhYxAREZHblBJNIiIiIjcm+Kqlc93z1Z201kYB7wBTirh2FBBrrY0GBrjKxgGbXGWvAe+5yscAa6y1zYElwN0AxpimQHegrbU2BrgE9AJigLustS1cMaR48D2LiIiIlCjA2wGIiIiI+KizrgRPURbkO04uon4L8L4xZimw1FXWDngawFr7hWsm0x3Ag0CSq/zvxpgTrvYPA3HAN8YYgGDgCPA3oIExZirwd+DTG3+LIiIiIqWjGU0iIiIinmeLeX7FY8A0oBXORNGN/PHPAHOttTGuRxNr7Vhr7QmgJZCOc7bUX26gbxEREZEbokSTiIiIiOd1z3f8Kn+FMcYP+Km1Ng0YCYQCIcBqnEvfMMYkAsestaeAL4FnXOWdgRqurj4HfmmMqeuqq2mMucf1jXR+1trFwOs4k1kiIiIi5UJL50RERERuTLAxxpHv/H+ttaNcz2sYY7YA54GeV13nD8w3xoTinJX0P9babGPMWGC267pcoLer/ThggTFmO7AOOAhgrd1hjHkd+NSVvLoIDATOAimuMoBXPfeWRUREREpmrC1qNreIiIiI3AhjTBYQb6095u1YRERERMqbls6JiIiIiIiIiIhHaEaTiIiIiIiIiIh4hGY0iYiIiIiIiIiIRyjRJCIiIiIiIiIiHqFEk4iIiIiIiIiIeIQSTSIiIiIiIiIi4hFKNImIiIiIiIiIiEf8f3ayV4KqnPZ8AAAAAElFTkSuQmCC\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize = (20,10))\n",
        "X = [i for i in range(len(avg_rews0)-100,len(avg_rews0))]\n",
        "plt.plot(X,avg_rews0[-100:],label = 'Fully deterministic')\n",
        "plt.plot(X,avg_rews1[-100:],label = 'Qlearning on Policy options')\n",
        "plt.plot(X,avg_rews2[-100:],label = 'SMDP')\n",
        "plt.plot(X,avg_rews3[-100:],label = 'IOQL')\n",
        "plt.plot(X,[9.7 for i in range(100)],'--',label = 'Solved score line (9.7)')\n",
        "plt.xlabel('Episodes')\n",
        "plt.ylabel('score averaged over previous 100 runs')\n",
        "plt.title('Various learning models')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 639
        },
        "id": "_P6HnqtFKdJo",
        "outputId": "fa172fe3-24fc-47be-8bd9-f22743f84f74"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f1ed0231650>"
            ]
          },
          "metadata": {},
          "execution_count": 104
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize = (20,10))\n",
        "X = [i for i in range(100)]\n",
        "plt.plot(X,avg_rews0[:100],label = 'Fully deterministic')\n",
        "plt.plot(X,avg_rews1[:100],label = 'Qlearning on Policy options')\n",
        "plt.plot(X,avg_rews2[:100],label = 'SMDP')\n",
        "plt.plot(X,avg_rews3[:100],label = 'IOQL')\n",
        "plt.plot(X,[9.7 for i in range(100)],'--',label = 'Solved score line (9.7)')\n",
        "plt.xlabel('Episodes')\n",
        "plt.ylabel('score averaged over previous 100 runs')\n",
        "plt.title('Various learning models')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 639
        },
        "id": "2YvRLhF2f0zY",
        "outputId": "2d7da0a7-3ba1-4582-d43c-3b049b0bee11"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f1ecfc8cc10>"
            ]
          },
          "metadata": {},
          "execution_count": 105
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# IOQL without state compression"
      ],
      "metadata": {
        "id": "1kOQ-i39_jWs"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#### Intra Option Q-Learning\n",
        "\n",
        "rewards4 = []\n",
        "T = 1\n",
        "goal = {0:[0,0],1:[0,4],2:[4,0],3:[4,3]}\n",
        "\n",
        "\n",
        "\n",
        "# Add parameters you might need here\n",
        "gamma = 0.9\n",
        "alpha = 0.1\n",
        "\n",
        "#Q-Table: (States x Actions) === (env.ns(48) x total actions(6))\n",
        "nX = 5; nY = 5; nPas = 5; nDrop = 4\n",
        "q_values_IOQL = np.zeros((env.nS,nO))\n",
        "updates_IOQL = np.zeros((env.nS,nO))\n",
        "\n",
        "Qopt = {i:np.zeros((env.nS//20,env.nA-2)) for i in range(nO)} #Q-values for each option\n",
        "\n",
        "\n",
        "eps = {i:0.01 for i in range(nO)}\n",
        "eps_min = 0.01\n",
        "eps_decay = 0.99\n",
        "eps_main = 0.5\n",
        "\n",
        "count = 0\n",
        "Neps = 1500\n",
        "\n",
        "# Iterate over Neps episodes\n",
        "for i in range(Neps):\n",
        "    state = env.reset()    \n",
        "    done = False\n",
        "    tot_rew=0\n",
        "\n",
        "    # While episode is not over\n",
        "    while not done:\n",
        "        \n",
        "        # Choose action  \n",
        "   \n",
        "        action = egreedy_policy(q_values_IOQL, state, epsilon=eps_main)\n",
        "        eps_main = max(eps_min,eps_main*eps_decay)\n",
        "        \n",
        "\n",
        "        option = action\n",
        "        optdone = False\n",
        "        prev = state  \n",
        "        while not optdone and not done:\n",
        "            \n",
        "            # Think about what this function might do?\n",
        "            optact,optdone = Option(env,state,Qopt,option,eps[option])\n",
        "            next_state, reward, done,_ = env.step(optact)\n",
        "            \n",
        "            tot_rew+=reward\n",
        "\n",
        "            \n",
        "            #Option Policy Learning\n",
        "            [x,y,_,_]=  list(env.decode(state)) \n",
        "            [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "\n",
        "            \n",
        "\n",
        "            eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "            tot_rew+=reward\n",
        "            reward_surr = reward\n",
        "            if optdone:\n",
        "              reward_surr = 20\n",
        "            if optact<4:  \n",
        "              Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        "\n",
        "\n",
        "            #finding all options giving same action call\n",
        "            # IOQLoptions = []\n",
        "            \n",
        "            for o in range(nO):\n",
        "              optact_o,optdone_o = Option(env,state,Qopt,o,eps[o])\n",
        "              if optact_o == optact:\n",
        "                eps[o] = max(eps_min,eps_decay*eps[o])\n",
        "                if optdone_o:\n",
        "                  q_values_IOQL[(state), o] += alpha*(reward + gamma*np.max(q_values_IOQL[(next_state), :]) - q_values_IOQL[(state), o])\n",
        "                else:\n",
        "                  q_values_IOQL[(state), o] += alpha*(reward + gamma*q_values_IOQL[(next_state), o] - q_values_IOQL[(state), o])    \n",
        "                updates_IOQL[(state), o] += 1\n",
        "            state = next_state \n",
        "        \n",
        "    rewards4.append(tot_rew)\n",
        "    x,y,pas,drop = env.decode(state)\n",
        "    if pas==drop:\n",
        "      count+=1\n",
        "      clear_output(wait=True)\n",
        "      print('Success ({}/{}) = {}%'.format(count,i+1,100*count/(i+1)))\n",
        " \n",
        "        "
      ],
      "metadata": {
        "id": "def_flnMgTH3",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3941fa15-93db-4004-93ec-09b883a6f741"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Success (1469/1500) = 97.93333333333334%\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "state = env.reset()    \n",
        "done = False\n",
        "tot_rew=0\n",
        "\n",
        "# While episode is not over\n",
        "while not done:\n",
        "    \n",
        "    # Choose action  \n",
        "    _,_,pas,drop = env.decode(state) \n",
        "    subState = nDrop*pas+drop      \n",
        "    action = egreedy_policy(q_values_IOQL, subState, epsilon=eps_main)\n",
        "    eps_main = max(eps_min,eps_main*eps_decay)\n",
        "    \n",
        "\n",
        "    option = action\n",
        "    optdone = False\n",
        "    prev = state  \n",
        "    while not optdone and not done:\n",
        "        \n",
        "        # Think about what this function might do?\n",
        "        optact,optdone = Option(env,state,Qopt,option,eps[option])\n",
        "        next_state, reward, done,_ = env.step(optact)\n",
        "        clear_output(wait=True)\n",
        "        print(env.render())  \n",
        "        time.sleep(T)\n",
        "        \n",
        "        tot_rew+=reward\n",
        "\n",
        "        \n",
        "        #Option Policy Learning\n",
        "        [x,y,_,_]=  list(env.decode(state)) \n",
        "        [x1,y1,_,_]=  list(env.decode(next_state)) \n",
        "\n",
        "        \n",
        "\n",
        "        eps[option] = max(eps_min,eps_decay*eps[option])\n",
        "        tot_rew+=reward\n",
        "        reward_surr = reward\n",
        "        if optdone:\n",
        "          reward_surr = 20\n",
        "        if optact<4:  \n",
        "          Qopt[option][5*x+y, optact] = Qopt[option][5*x+y, optact] + alpha*(reward_surr + gamma*np.max(Qopt[option][5*x1+y1, :]) - Qopt[option][5*x+y, optact])\n",
        " \n",
        "\n",
        "        #finding all options giving same action call\n",
        "        \n",
        "        for o in range(nO):\n",
        "          optact_o,optdone_o = Option(env,state,Qopt,o,eps[o])\n",
        "          if optact_o == optact:\n",
        "            if optdone_o:\n",
        "              q_values_IOQL[(state), o] += alpha*(reward + gamma*np.max(q_values_IOQL[(next_state), :]) - q_values_IOQL[(state), o])\n",
        "            else:\n",
        "              q_values_IOQL[(state), o] += alpha*(reward + gamma*q_values_IOQL[(next_state), o] - q_values_IOQL[(state), o]) \n",
        "\n",
        "            updates_IOQL[Sub(state), o] += 1\n",
        "        state = next_state \n",
        "    \n",
        "rewards4.append(tot_rew)\n",
        "x,y,pas,drop = env.decode(state)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "WbdkSBdMwqXG",
        "outputId": "f58eaa2b-186f-4d8b-a9a3-f0ca4e12d5b5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "+---------+\n",
            "|\u001b[35m\u001b[34;1m\u001b[43mR\u001b[0m\u001b[0m\u001b[0m: | : :G|\n",
            "| : | : : |\n",
            "| : : : : |\n",
            "| | : | : |\n",
            "|Y| : |B: |\n",
            "+---------+\n",
            "  (Dropoff)\n",
            "None\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "figure, axis = plt.subplots(2,2,figsize=(10,10))\n",
        "for i in range(2):\n",
        "  for j in range(2):\n",
        "    labels = {0:'south',1:'north', 2:'east', 3:'west'}\n",
        "    annot_text = np.vectorize(labels.get)(np.argmax(Qopt[2*i+j],axis=1).reshape(5,5))\n",
        "    ax = sns.heatmap(np.argmax(Qopt[2*i+j],axis=1).reshape(5,5),ax=axis[i,j],annot = annot_text,fmt='')\n",
        "    axis[i,j].set_title(\"Policy learnt (500 state IOQL)) {}\".format(i*2+j))\n",
        "    c_bar = ax.collections[0].colorbar\n",
        "    c_bar.set_ticks([i for i in range(4)])\n",
        "    c_bar.set_ticklabels(['south','north','east','west'])  "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "id": "0vHqcaxEElht",
        "outputId": "cfdddc79-f240-4f4a-ac2f-424760011bd1"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 8 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "avg_rews4 = [np.average(rewards4[i:i+100]) for i in range(len(rewards4)-100)]\n",
        "\n",
        "plt.figure(figsize = (20,10))\n",
        "plt.plot(avg_rews0,label = 'Fully deterministic')\n",
        "plt.plot(avg_rews1,label = 'Qlearning on Policy options')\n",
        "plt.plot(avg_rews2,label = 'SMDP')\n",
        "plt.plot(avg_rews3,label = 'IOQL')\n",
        "plt.plot(avg_rews4,label = 'IOQL without state compression')\n",
        "plt.plot([9.7 for i in range(len(avg_rews2))],'--',label = 'Solved score line (9.7)')\n",
        "plt.xlabel('Episodes')\n",
        "plt.ylabel('score averaged over previous 100 runs')\n",
        "plt.title('Various learning models')\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 639
        },
        "id": "6Ixi63wD__vi",
        "outputId": "b5db57a5-a4e1-4eaa-923a-044a6f0a57f9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f1ed0639650>"
            ]
          },
          "metadata": {},
          "execution_count": 96
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        ""
      ],
      "metadata": {
        "id": "I2Ggpn_Sw9SO"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}