{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# RL based Agent\n",
    "#### realworldml.com\n",
    "#### all rights reserved, Johannes-L Löwe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import random\n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Write Env Wrapper"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Python version:\n",
      "3.6.9 |Anaconda, Inc.| (default, Jul 30 2019, 19:07:31) \n",
      "[GCC 7.3.0]\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "\n",
    "from mlagents.envs.environment import UnityEnvironment\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "print(\"Python version:\")\n",
    "print(sys.version)\n",
    "\n",
    "# check Python version\n",
    "if (sys.version_info[0] < 3):\n",
    "    raise Exception(\"ERROR: ML-Agents Toolkit (v0.3 onwards) requires Python 3\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "default_brain = \"slar\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "bins = [4,4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "action_space = [0,1,2,3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "actionStep = 20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "ranges = [[-40,40],[2,40]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# wrapper for general unity Env"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Env():\n",
    "    \n",
    "    def __init__(self, name):\n",
    "        self.name = name\n",
    "        self.inf_env=None\n",
    "        self.train_env=None\n",
    "        self.__trainmode = True\n",
    "        self.initEnv()\n",
    "#         self.trainmode = True\n",
    "#         self.initEnv()\n",
    "        \n",
    "    def start(self):\n",
    "        env = self.inf_env\n",
    "        if self.trainmode:\n",
    "            env = self.train_env\n",
    "        self.es = env.reset(train_mode = self.trainmode)\n",
    "        \n",
    "    \n",
    "    @property\n",
    "    def trainmode(self):\n",
    "        return self.__trainmode\n",
    "    \n",
    "    @trainmode.setter\n",
    "    def trainmode(self,t):\n",
    "        if t!=self.__trainmode:\n",
    "            self.__trainmode = t\n",
    "            self.initEnv()\n",
    "    \n",
    "    def initEnv(self): \n",
    "        if self.trainmode:\n",
    "            if self.inf_env:\n",
    "                self.inf_env.close()\n",
    "            self.train_env = UnityEnvironment('../envs/'+self.name+'/crawler')\n",
    "        else:\n",
    "            if self.train_env:\n",
    "                self.train_env.close()\n",
    "            self.inf_env = UnityEnvironment('../envs/'+self.name+'Inf/crawler',worker_id=1)\n",
    "        \n",
    "        \n",
    "    def step(self, aw):\n",
    "        env = self.inf_env\n",
    "        if self.trainmode:\n",
    "            env = self.train_env\n",
    "        self.es = env.step(aw.getAction())\n",
    "        aw.update()\n",
    "#         self.rewards = es.reward\n",
    "#         self.obs = es.vector_observations\n",
    "        \n",
    "    def obs(self,name,index):\n",
    "        return self.es[name].vector_observations[index]\n",
    "    \n",
    "    def reward(self,name,index):\n",
    "        return self.es[name].rewards[index]\n",
    "    \n",
    "    def done(self,name,index):\n",
    "        return self.es[name].local_done[index]\n",
    "\n",
    "    def close(self):\n",
    "        self.train_env.close()\n",
    "        print(\"closed training\")\n",
    "        self.inf_env.close()\n",
    "        print(\"closed inference\")\n",
    "        \n",
    "        \n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# env.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:\n",
      "'Academy' started successfully!\n",
      "Unity Academy name: Academy\n",
      "        Reset Parameters : {}\n"
     ]
    }
   ],
   "source": [
    "env = Env(\"slar2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "env.trainmode=True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Connected new brain:\n",
      "Unity brain name: slar\n",
      "        Number of Visual Observations (per agent): 0\n",
      "        Camera Resolutions: []\n",
      "        Vector Observation space size (per agent): 2\n",
      "        Vector Action space type: discrete\n",
      "        Vector Action space size (per agent): [3, 3]\n",
      "        Vector Action descriptions: \n"
     ]
    }
   ],
   "source": [
    "env.start()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "env.trainmode = True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Environment Consitency checker"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import itertools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<itertools.permutations at 0x7efd219d1a40>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "itertools.permutations(range(5),)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max([5,5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ConsistencyChecker():\n",
    "    \n",
    "    def __init__(self, bins,actions):\n",
    "        self.stateDict = {}\n",
    "        self.tsDict = {}\n",
    "        self.actions = actions\n",
    "        self.bins = bins\n",
    "        allStates = list(itertools.permutations(range(max(bins)), 2)) + [(i,i) for i in range(max(bins))]\n",
    "        for s in allStates:\n",
    "            self.stateDict[s] = {}\n",
    "            for a in actions:\n",
    "                self.stateDict[s][a] = {}\n",
    "                for s2 in allStates:\n",
    "                    self.stateDict[s][a][s2] = 0\n",
    "        for s in allStates:\n",
    "            self.tsDict[s] = {}\n",
    "            for a in actions:\n",
    "                self.tsDict[s][a] = {}\n",
    "                for s2 in allStates:\n",
    "                    self.tsDict[s][a][s2] = 0\n",
    "            \n",
    "    def logAction(self,orgState,action,newState):\n",
    "        self.stateDict[orgState][action][newState] +=1\n",
    "    \n",
    "    def logState(self,orgState,action,target):\n",
    "            self.tsDict[orgState][action][target] +=1\n",
    "    \n",
    "    def showNonZeros(self):\n",
    "        allStates = list(itertools.permutations(range(max(self.bins)), 2)) + [(i,i) for i in range(max(self.bins))]\n",
    "        ret = {}\n",
    "        for s in allStates:\n",
    "            for a in self.actions:\n",
    "                for s2 in allStates:\n",
    "                    if self.stateDict[s][a][s2]:\n",
    "                        if not s in ret.keys():\n",
    "                            ret[s]={}\n",
    "                        if not a in ret[s].keys():\n",
    "                            ret[s][a]={}\n",
    "                        ret[s][a][s2] = self.stateDict[s][a][s2]\n",
    "        return ret\n",
    "    \n",
    "    def showNonZerosTs(self):\n",
    "        allStates = list(itertools.permutations(range(max(self.bins)), 2)) + [(i,i) for i in range(max(self.bins))]\n",
    "        ret = {}\n",
    "        for s in allStates:\n",
    "            for a in self.actions:\n",
    "                for s2 in allStates:\n",
    "                    if self.tsDict[s][a][s2]:\n",
    "                        if not s in ret.keys():\n",
    "                            ret[s]={}\n",
    "                        if not a in ret[s].keys():\n",
    "                            ret[s][a]={}\n",
    "                        ret[s][a][s2] = self.tsDict[s][a][s2]\n",
    "        return ret"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "checker = ConsistencyChecker(bins,action_space)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# warpper for table wrapping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "values = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ActionWrapper():\n",
    "    \n",
    "    def __init__(self, name, index, bins, ranges,actionSteps,env, useLastAction = False):\n",
    "        self.env = env\n",
    "        self.name = name\n",
    "        self.index = index\n",
    "        self.counter = 0\n",
    "        self.actionSteps = actionSteps\n",
    "        self.bins = bins\n",
    "        self.accreward = 0\n",
    "        self.ranges = ranges\n",
    "        self.lastAction = 0\n",
    "        self.currentAction = 0\n",
    "        self.lastState = None\n",
    "        self.state = self.discretize(env.obs(name,index))\n",
    "        self.targetState = self.state\n",
    "        self.originalState = self.state\n",
    "        self.useLastAction = useLastAction\n",
    "        self.biggestAccRew = 0\n",
    "        self.lastState = None\n",
    "        self.lastObs = (0,0)\n",
    "        \n",
    "        \n",
    "    def action(self,new_action):\n",
    "        self.counter = 0\n",
    "        self.biggestAccRew = max(self.biggestAccRew,self.accreward)\n",
    "#         checker.logState(self.originalState,self.currentAction,self.targetState)\n",
    "        self.accreward = 0\n",
    "        self.setTargetState(new_action)\n",
    "        checker.logAction(self.originalState, self.currentAction, self.state)\n",
    "        self.lastAction = self.currentAction\n",
    "        if new_action>=len(action_space):\n",
    "            raise ValueError(\"action too big\")\n",
    "        self.currentAction = new_action\n",
    "        \n",
    "    def setTargetState(self,action):\n",
    "        #copy and remove last action part\n",
    "        ts = list(self.state).copy()#[:-1]\n",
    "        a = [0,0]\n",
    "        if action == 0:\n",
    "            a = [-1,0]\n",
    "#             if self.state[0]==0:\n",
    "#                 a=[1,0]\n",
    "        elif action == 1:\n",
    "            a = [0,1]\n",
    "        elif action == 2:\n",
    "            a = [1,0]\n",
    "        elif action == 3:\n",
    "            a = [0,-1]\n",
    "#             if self.state[1]==0:\n",
    "#                 a=[0,1]\n",
    "        \n",
    "        ts = [max(0,min((self.bins[i]-1),ts[i] + a[i])) for i in range(len(ts))]\n",
    "        self.targetState = ts\n",
    "    \n",
    "    def useCurrentState(self):\n",
    "        self.lastState = self.originalState\n",
    "        self.originalState = self.state\n",
    "    \n",
    "    def needsInput(self):\n",
    "#           return tuple(self.targetState)==tuple(self.state)\n",
    "        return self.counter>=self.actionSteps\n",
    "    \n",
    "    def discretize(self,obv):\n",
    "        space_ranges = self.ranges #[(-20,20),(-math.radians(50), math.radians(50)),(0,3),(-2,2),(-5,5),(-2,2)]#[(-100,100), (-1,1), (-math.radians(24),math.radians(24)), (-math.radians(50), math.radians(50))]\n",
    "        clamped_obv = [min(space_ranges[i][1],max(space_ranges[i][0],obv[i])) for i in range(len(space_ranges))]\n",
    "        mapped_obv = [int(round(((clamped_obv[i] - space_ranges[i][0])/(space_ranges[i][1]-space_ranges[i][0]))* (self.bins[i]-1))) for i in range(len(space_ranges))]\n",
    "        return tuple(mapped_obv )#+[self.lastAction])      \n",
    "    \n",
    "    def update(self):\n",
    "        self.accreward +=self.env.reward(self.name,self.index)\n",
    "        values.append(env.obs(self.name,self.index))\n",
    "        self.lastObs = env.obs(self.name,self.index)\n",
    "        self.state = self.discretize(env.obs(self.name,self.index))\n",
    "        \n",
    "    def getCurrentIndex(self):\n",
    "        if self.useLastAction:\n",
    "            return tuple([int(i) for i in self.state]+[self.currentAction])\n",
    "        else:\n",
    "            return tuple([int(i) for i in self.state])\n",
    "        \n",
    "    def getReward(self):\n",
    "        if tuple(self.state) == tuple(self.targetState): #and (self.lastState==None or tuple(self.state)!=tuple(self.lastState)):\n",
    "            return self.accreward\n",
    "        else:\n",
    "#             print(self.state,self.targetState)\n",
    "            return -5\n",
    "    \n",
    "    def getAction(self):\n",
    "        self.counter +=1\n",
    "#         print(\"action\",[self.targetState[i] -  self.state[i] for i in range(len(self.state))], self.ranges, self.lastObs)\n",
    "        return [self.lastObs[i] - ((self.targetState[i]/(self.bins[i]-1))*(self.ranges[i][1]-self.ranges[i][0])+self.ranges[i][0])   for i in range(len(self.targetState))]#[self.state[i]-self.targetState[i] for i in range(len(self.state))]\n",
    "    \n",
    "    def done(self):\n",
    "        return env.done(self.name, self.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "min(ranges[1][1],max(ranges[1][0],5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "((-5 - -5)/(60--5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "class StateTrier():\n",
    "    \n",
    "    def __init__(self, bins, env):\n",
    "        self.bins = bins\n",
    "        self.wrap = ActionWrapper(default_brain,0,bins,ranges,actionStep,env, useLastAction=False)\n",
    "        self.env=env\n",
    "        self.env.trainmode = False\n",
    "    \n",
    "    def trial(self):\n",
    "        for s in list(itertools.permutations(range(max(bins)), 2)) + [(i,i) for i in range(max(bins))]:\n",
    "            print(\"trying \",s)\n",
    "            self.env.start()\n",
    "            self.wrap.targetState = s\n",
    "            counter=0\n",
    "            while self.wrap.state != self.wrap.targetState and counter<100:\n",
    "                self.env.step(self.wrap)\n",
    "                counter+=1\n",
    "                print(\"\\r\\t is at\",self.wrap.state, self.wrap.getAction(),end = \"\")\n",
    "            print(\"reached \",counter, s)\n",
    "            time.sleep(0.2)\n",
    "        self.env.start()   \n",
    "        for s in list(itertools.permutations(range(max(bins)), 2)) + [(i,i) for i in range(max(bins))]:\n",
    "            print(\"trying \",s)\n",
    "            self.wrap.targetState = s\n",
    "            counter=0\n",
    "            while self.wrap.state != self.wrap.targetState and counter<100:\n",
    "                self.env.step(self.wrap)\n",
    "                counter+=1\n",
    "                print(\"\\r\\t is at\",self.wrap.state, self.wrap.getAction(),end = \"\")\n",
    "            print(\"reached \",counter, s, values[-1])\n",
    "            time.sleep(0.2)\n",
    "        print(\"not implemented yet!\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Environment shut down with return code 0.\n",
      "INFO:mlagents.envs:\n",
      "'Academy' started successfully!\n",
      "Unity Academy name: Academy\n",
      "        Reset Parameters : {}\n"
     ]
    }
   ],
   "source": [
    "trier = StateTrier(bins,env)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "trying  (0, 1)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Connected new brain:\n",
      "Unity brain name: slar\n",
      "        Number of Visual Observations (per agent): 0\n",
      "        Camera Resolutions: []\n",
      "        Vector Observation space size (per agent): 2\n",
      "        Vector Action space type: discrete\n",
      "        Vector Action space size (per agent): [3, 3]\n",
      "        Vector Action descriptions: \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t is at (0, 1) [12.818756103515625, -1.4062849680582676]reached  17 (0, 1)\n",
      "trying  (0, 2)\n",
      "\t is at (0, 2) [3.096343994140625, -5.78867467244466]reached  21 (0, 2)\n",
      "trying  (0, 3)\n",
      "\t is at (0, 3) [0.106903076171875, -5.438404083251953]reached  27 (0, 3)\n",
      "trying  (1, 0)\n",
      "\t is at (1, 0) [12.86906941731771, 0.022798538208007812]reached  4 (1, 0)\n",
      "trying  (1, 2)\n",
      "\t is at (1, 2) [-0.8822733561197893, -5.907544453938801]reached  38 (1, 2)\n",
      "trying  (1, 3)\n",
      "\t is at (1, 3) [-0.2299601236979143, -4.678638458251953]reached  55 (1, 3)\n",
      "trying  (2, 0)\n",
      "\t is at (2, 0) [-12.38057704766591, 0.07510042190551758]reached  2 (2, 0)\n",
      "trying  (2, 1)\n",
      "\t is at (2, 1) [-1.257641156514481, -5.23863665262858]reached  13 (2, 1)\n",
      "trying  (2, 3)\n",
      "\t is at (2, 3) [-0.101400693257645, -6.15185546875]reached  40 (2, 3)\n",
      "trying  (3, 0)\n",
      "\t is at (3, 0) [-12.008739471435547, 0.668337345123291]reached  17 (3, 0)\n",
      "trying  (3, 1)\n",
      "\t is at (3, 1) [-12.921995162963867, 0.21018250783284564]reached  15 (3, 1)\n",
      "trying  (3, 2)\n",
      "\t is at (3, 2) [-5.665924072265625, -6.040622075398762]reached  19 (3, 2)\n",
      "trying  (0, 0)\n",
      "\t is at (0, 0) [12.171875, -0.1593918800354004]reached  20 (0, 0)\n",
      "trying  (1, 1)\n",
      "\t is at (1, 1) [-0.4006144205729143, -5.998702685038248]reached  14 (1, 1)\n",
      "trying  (2, 2)\n",
      "\t is at (2, 2) [-0.4148448308308872, -6.046801884969074]reached  35 (2, 2)\n",
      "trying  (3, 3)\n",
      "\t is at (3, 3) [0.0421905517578125, -5.447444915771484]reached  29 (3, 3)\n",
      "trying  (0, 1)\n",
      "\t is at (0, 1) [12.637359619140625, -0.799779574076334]reached  19 (0, 1) [-27.36264038  13.86688709]\n",
      "trying  (0, 2)\n",
      "\t is at (0, 2) [2.824798583984375, -5.431914647420246]reached  6 (0, 2) [-37.17520142  21.90141869]\n",
      "trying  (0, 3)\n",
      "\t is at (0, 3) [-0.406768798828125, -5.035270690917969]reached  7 (0, 3) [-40.4067688   34.96472931]\n",
      "trying  (1, 0)\n",
      "\t is at (1, 0) [-0.0348307291666643, 5.024922847747803]reached  21 (1, 0) [-13.36816406   7.02492285]\n",
      "trying  (1, 2)\n",
      "\t is at (1, 2) [0.8883870442708357, -5.295558293660481]reached  9 (1, 2) [-12.44494629  22.03777504]\n",
      "trying  (1, 3)\n",
      "\t is at (1, 3) [-0.5427958170572893, -4.882984161376953]reached  7 (1, 3) [-13.87612915  35.11701584]\n",
      "trying  (2, 0)\n",
      "\t is at (2, 0) [-0.17134316762287938, 5.887650012969971]reached  21 (2, 0) [13.16199017  7.88765001]\n",
      "trying  (2, 1)\n",
      "\t is at (2, 1) [-0.009986241658523909, -4.7077795664469395]reached  2 (2, 1) [13.32334709  9.9588871 ]\n",
      "trying  (2, 3)\n",
      "\t is at (2, 3) [0.33806292215983547, -6.016426086425781]reached  13 (2, 3) [13.67139626 33.98357391]\n",
      "trying  (3, 0)\n",
      "\t is at (3, 0) [-0.5551338195800781, 6.207381248474121]reached  20 (3, 0) [39.44486618  8.20738125]\n",
      "trying  (3, 1)\n",
      "\t is at (3, 1) [-0.8777351379394531, -4.5405947367350254]reached  2 (3, 1) [39.12226486 10.12607193]\n",
      "trying  (3, 2)\n",
      "\t is at (3, 2) [1.27294921875, -6.21356709798177]reached  6 (3, 2) [41.27294922 21.11976624]\n",
      "trying  (0, 0)\n",
      "\t is at (0, 0) [12.9139404296875, 1.05991530418396]reached  43 (0, 0) [-27.08605957   3.0599153 ]\n",
      "trying  (1, 1)\n",
      "\t is at (1, 1) [-9.137736002604164, -4.5802160898844395]reached  5 (1, 1) [-22.47106934  10.08645058]\n",
      "trying  (2, 2)\n",
      "\t is at (2, 2) [-12.586050113042191, 0.77430025736491]reached  14 (2, 2) [ 0.74728322 28.10763359]\n",
      "trying  (3, 3)\n",
      "\t is at (3, 3) [-12.22974967956543, 0.8522071838378906]reached  15 (3, 3) [27.77025032 40.85220718]\n",
      "not implemented yet!\n"
     ]
    }
   ],
   "source": [
    "trier.trial()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "(trier.wrap.ranges[0][1]-trier.wrap.ranges[0][0])"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "trier.wrap.targetState"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "trier.wrap.targetState[0]/(trier.wrap.bins[0]-1)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "trier.wrap.lastObs"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    " trier.wrap.lastObs[0] -( trier.wrap.targetState[0]/(trier.wrap.bins[0]-1) *(trier.wrap.ranges[0][1]-trier.wrap.ranges[0][0]) + trier.wrap.ranges[0][0])"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "trier.wrap.lastObs"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "40- trier.wrap.lastObs[0]"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "trier.wrap.state[0]-trier.wrap.targetState[0]"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "[(self.targetState[i]/(self.bins[i]-1))*(self.ranges[i][1]-self.ranges[i][0])+self.ranges[i][0] - self.lastObs[i] for i in range(len(self.targetState))]"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "trier.wrap.discretize((11,0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "ts = (3, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "targetSat = [ts[i]/(bins[i]-1) for i in range(len(ts))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1.0, 0.0]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "targetSat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "40.0"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(ranges[0][1] - ranges[0][0]) * targetSat[0] + ranges[0][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "values = np.matrix(values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "values = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Qlearner():\n",
    "    \n",
    "    def __init__(self,bins,action_space,env,n_episodes=1000,minalpha = 0.6, minepsilon = 0.1, alpha=0.8, epsilon = 0.7,successReward = 550, useLastAction = False):\n",
    "        self.action_space = action_space\n",
    "        self.wrap = ActionWrapper(default_brain,0,bins,ranges,actionStep,env, useLastAction=useLastAction)\n",
    "        self.alpha= alpha\n",
    "        self.epsilon = epsilon\n",
    "        self.minepsilon = minepsilon\n",
    "        self.minalpha = minalpha\n",
    "        self.gamma = 0.9\n",
    "        extra = [len(action_space)]\n",
    "        if useLastAction:\n",
    "            extra +=[len(action_space)]\n",
    "        self.q_tab = np.zeros(bins +extra)\n",
    "        self.episode = 0\n",
    "        self.explore = True\n",
    "        self.env = env\n",
    "        self.useLastAction = useLastAction\n",
    "        self.biggestRew = 0\n",
    "        self.biggestLast = 0\n",
    "        self.qtab_hist = {}\n",
    "        self.step = 0\n",
    "        self.rewardHist=[]\n",
    "        self.episodeRew = 0\n",
    "        self.successRew = successReward\n",
    "        self.maxEpisode = 1000\n",
    "        self.doneEpisode = None\n",
    "        self.testRewHist = []\n",
    "        \n",
    "    def currentEpsilon(self):\n",
    "        if not self.explore:\n",
    "            return 0\n",
    "        return (((self.maxEpisode-self.episode)**2)/self.maxEpisode**2)*self.epsilon +self.minepsilon\n",
    "    \n",
    "    def currentAlpha(self):\n",
    "        if not self.explore:\n",
    "            return 0\n",
    "        return ((self.maxEpisode-self.episode)/self.maxEpisode) * (self.alpha-self.minalpha) + self.minalpha\n",
    "    \n",
    "    def bestAction(self):\n",
    "        return np.argmax(self.q_tab[tuple(self.wrap.getCurrentIndex())])\n",
    "    \n",
    "    def nextAction(self):\n",
    "          return random.choice(self.action_space) if random.random()<self.currentEpsilon() else self.bestAction()\n",
    "        \n",
    "    def updateQtable(self):\n",
    "        reward = self.wrap.getReward()\n",
    "#             self.rewardHist.append(reward)\n",
    "        self.episodeRew += reward\n",
    "        if self.explore:\n",
    "            max_next_action = np.max(self.q_tab[self.wrap.getCurrentIndex()])\n",
    "            prevState = self.wrap.originalState\n",
    "            lastAction = self.wrap.lastAction\n",
    "            action = self.wrap.currentAction\n",
    "            self.biggestRew = max(self.biggestRew,reward)\n",
    "            self.biggestLast = max(self.biggestLast,max_next_action)\n",
    "#             self.qtab_hist[self.step]=np.copy(self.q_tab)\n",
    "#             self.qtab_hist[str(self.step)+\"RA\"] = (reward,action)\n",
    "#             self.step+=1\n",
    "#             if max_next_action>self.biggestRew:\n",
    "#                 raise Exception(\"issues!!!!\" + str(self.wrap.getCurrentIndex()))\n",
    "            alpha = self.currentAlpha()\n",
    "#             print(\"ALPHA\",1.0-alpha,self.q_tab[prevState[0],prevState[1],action], reward, max_next_action,self.q_tab[self.wrap.getCurrentIndex()] )\n",
    "            if self.useLastAction:\n",
    "                self.q_tab[prevState[0],prevState[1],lastAction,action] = (1.0-alpha)*self.q_tab[prevState[0],prevState[1],lastAction,action] + alpha*(reward+self.gamma * max_next_action)\n",
    "            else:\n",
    "                self.q_tab[prevState[0],prevState[1],action] = (1.0-alpha)*self.q_tab[prevState[0],prevState[1],action] + alpha*(reward+self.gamma * max_next_action)\n",
    "\n",
    "                \n",
    "    def test(self):\n",
    "        print(\"testing...\",end = \"\")\n",
    "        self.explore = False\n",
    "        self.episodeRew = 0\n",
    "        self.learn(test=True)\n",
    "        print(self.episodeRew)\n",
    "        self.testRewHist.append(self.episodeRew)\n",
    "        if self.episodeRew>self.successRew:\n",
    "            print(\"done\")\n",
    "            self.doneEpisode=self.episode\n",
    "        self.explore = True\n",
    "    \n",
    "    def learn(self, test=False):\n",
    "        self.env.start()\n",
    "        self.episodeRew = 0\n",
    "        while not self.wrap.done():\n",
    "            action = self.nextAction()\n",
    "            self.wrap.action(action)\n",
    "            while not self.wrap.needsInput() and not self.wrap.done():\n",
    "                self.env.step(self.wrap)\n",
    "            action = self.nextAction()\n",
    "#             print(\"\\r\",self.wrap.targetState, self.wrap.state,action, end=\"\")\n",
    "            self.updateQtable()\n",
    "            self.wrap.action(action)\n",
    "            self.wrap.useCurrentState()\n",
    "        self.rewardHist.append(self.episodeRew)\n",
    "        if self.episodeRew>self.successRew and not test and self.doneEpisode == None:\n",
    "            self.test()\n",
    "#             self.episode+=0.3\n",
    "#             print(\"------\")\n",
    "#             print(\"\\r\\repsilon:\",round(self.currentEpsilon(),2), end = \"\")\n",
    "#             print(\" state:\",self.wrap.targetState, self.wrap.state,\" a:\",action,end = \"\")\n",
    "            \n",
    "        \n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "learner = Qlearner(bins,action_space,env,useLastAction=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Environment shut down with return code 0.\n",
      "INFO:mlagents.envs:\n",
      "'Academy' started successfully!\n",
      "Unity Academy name: Academy\n",
      "        Reset Parameters : {}\n"
     ]
    }
   ],
   "source": [
    "learner.explore = True\n",
    "env.trainmode = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "learner.episode=0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 0)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.wrap.getCurrentIndex()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 0., 0., 0.])"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.q_tab[(1,0)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.episodeRew"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "756 ms ± 105 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Connected new brain:\n",
      "Unity brain name: slar\n",
      "        Number of Visual Observations (per agent): 0\n",
      "        Camera Resolutions: []\n",
      "        Vector Observation space size (per agent): 2\n",
      "        Vector Action space type: discrete\n",
      "        Vector Action space size (per agent): [3, 3]\n",
      "        Vector Action descriptions: \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "756 ms ± 105 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n",
      "epsilon: 0.8 rew: 167.93  ep: 0 |684 ms ± 39.1 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n",
      "epsilon: 0.8 rew: 157.33  ep: 1 |788 ms ± 24.2 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n",
      "epsilon: 0.8 rew: 274.14  ep: 2 |794 ms ± 22.2 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n",
      "epsilon: 0.8 rew: 75.06  ep: 3 |"
     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-33-a93a28e5cf39>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m900\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m     \u001b[0mget_ipython\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun_line_magic\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'timeit'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'learner.learn()'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      3\u001b[0m     \u001b[0mlearner\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mepisode\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mi\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m     \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"\\r\\repsilon:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mround\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlearner\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcurrentEpsilon\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mend\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m\"\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m     \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\" rew:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mround\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlearner\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mepisodeRew\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mend\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m\"\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/MLU/lib/python3.6/site-packages/IPython/core/interactiveshell.py\u001b[0m in \u001b[0;36mrun_line_magic\u001b[0;34m(self, magic_name, line, _stack_depth)\u001b[0m\n\u001b[1;32m   2312\u001b[0m                 \u001b[0mkwargs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'local_ns'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msys\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_getframe\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstack_depth\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mf_locals\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2313\u001b[0m             \u001b[0;32mwith\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbuiltin_trap\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2314\u001b[0;31m                 \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   2315\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2316\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m</home/johannes/miniconda3/envs/MLU/lib/python3.6/site-packages/decorator.py:decorator-gen-60>\u001b[0m in \u001b[0;36mtimeit\u001b[0;34m(self, line, cell, local_ns)\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/MLU/lib/python3.6/site-packages/IPython/core/magic.py\u001b[0m in \u001b[0;36m<lambda>\u001b[0;34m(f, *a, **k)\u001b[0m\n\u001b[1;32m    185\u001b[0m     \u001b[0;31m# but it's overkill for just that one bit of state.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    186\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mmagic_deco\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 187\u001b[0;31m         \u001b[0mcall\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mlambda\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    188\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    189\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mcallable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/MLU/lib/python3.6/site-packages/IPython/core/magics/execution.py\u001b[0m in \u001b[0;36mtimeit\u001b[0;34m(self, line, cell, local_ns)\u001b[0m\n\u001b[1;32m   1160\u001b[0m                     \u001b[0;32mbreak\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1161\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1162\u001b[0;31m         \u001b[0mall_runs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtimer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrepeat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrepeat\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnumber\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1163\u001b[0m         \u001b[0mbest\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mall_runs\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mnumber\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1164\u001b[0m         \u001b[0mworst\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mall_runs\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mnumber\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/MLU/lib/python3.6/timeit.py\u001b[0m in \u001b[0;36mrepeat\u001b[0;34m(self, repeat, number)\u001b[0m\n\u001b[1;32m    204\u001b[0m         \u001b[0mr\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    205\u001b[0m         \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrepeat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 206\u001b[0;31m             \u001b[0mt\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtimeit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnumber\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    207\u001b[0m             \u001b[0mr\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    208\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mr\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/MLU/lib/python3.6/site-packages/IPython/core/magics/execution.py\u001b[0m in \u001b[0;36mtimeit\u001b[0;34m(self, number)\u001b[0m\n\u001b[1;32m    167\u001b[0m         \u001b[0mgc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdisable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    168\u001b[0m         \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 169\u001b[0;31m             \u001b[0mtiming\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minner\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mit\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtimer\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    170\u001b[0m         \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    171\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0mgcold\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<magic-timeit>\u001b[0m in \u001b[0;36minner\u001b[0;34m(_it, _timer)\u001b[0m\n",
      "\u001b[0;32m<ipython-input-26-50a22b7ed184>\u001b[0m in \u001b[0;36mlearn\u001b[0;34m(self, test)\u001b[0m\n\u001b[1;32m     87\u001b[0m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwrap\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maction\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maction\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     88\u001b[0m             \u001b[0;32mwhile\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwrap\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mneedsInput\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwrap\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdone\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 89\u001b[0;31m                 \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0menv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstep\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwrap\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     90\u001b[0m             \u001b[0maction\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnextAction\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     91\u001b[0m \u001b[0;31m#             print(\"\\r\",self.wrap.targetState, self.wrap.state,action, end=\"\")\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<ipython-input-8-72569a5f989c>\u001b[0m in \u001b[0;36mstep\u001b[0;34m(self, aw)\u001b[0m\n\u001b[1;32m     43\u001b[0m             \u001b[0menv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrain_env\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     44\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mes\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0menv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstep\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maw\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgetAction\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 45\u001b[0;31m         \u001b[0maw\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     46\u001b[0m \u001b[0;31m#         self.rewards = es.reward\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     47\u001b[0m \u001b[0;31m#         self.obs = es.vector_observations\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<ipython-input-19-99fb3c199f8a>\u001b[0m in \u001b[0;36mupdate\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m     70\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     71\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maccreward\u001b[0m \u001b[0;34m+=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0menv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 72\u001b[0;31m         \u001b[0mvalues\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0menv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mobs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     73\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlastObs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0menv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mobs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     74\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstate\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdiscretize\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0menv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mobs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<ipython-input-8-72569a5f989c>\u001b[0m in \u001b[0;36mobs\u001b[0;34m(self, name, index)\u001b[0m\n\u001b[1;32m     48\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     49\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mobs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 50\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mes\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvector_observations\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     51\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     52\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mreward\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "for i in range(900):\n",
    "    learner.learn()\n",
    "    learner.episode = i\n",
    "    print(\"\\r\\repsilon:\",round(learner.currentEpsilon(),2), end = \"\")\n",
    "    print(\" rew:\",round(learner.episodeRew,2), end = \"\")\n",
    "    print(\"  ep:\",i,end = \" |\")\n",
    "    if learner.doneEpisode !=None:\n",
    "        break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "learner.explore = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Environment shut down with return code 0.\n",
      "INFO:mlagents.envs:\n",
      "'Academy' started successfully!\n",
      "Unity Academy name: Academy\n",
      "        Reset Parameters : {}\n"
     ]
    }
   ],
   "source": [
    "env.trainmode = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Connected new brain:\n",
      "Unity brain name: slar\n",
      "        Number of Visual Observations (per agent): 0\n",
      "        Camera Resolutions: []\n",
      "        Vector Observation space size (per agent): 2\n",
      "        Vector Action space type: discrete\n",
      "        Vector Action space size (per agent): [3, 3]\n",
      "        Vector Action descriptions: \n"
     ]
    }
   ],
   "source": [
    "learner.learn()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# draw q-table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "68.4546127319336"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.wrap.biggestAccRew"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "def drawQtableVal(tab):\n",
    "#     for a in range(len(action_space)):\n",
    "        for y in range(tab.shape[1]):\n",
    "            for x in range(tab.shape[0]):\n",
    "                print([round(i,1) for i in tab[x,y]],end = \"\")\n",
    "            print(\"\\n\")\n",
    "#         print(\"\\n\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "action_visuals = [\"<- \",\" . \",\" ->\",\" ^ \"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "def drawQtablePath(tab):\n",
    "#     for a in range(len(action_space)):\n",
    "#         print(action_visuals[a])\n",
    "        for y in range(tab.shape[1]):\n",
    "            for x in range(tab.shape[0]):\n",
    "                if x==2 and y==0:\n",
    "                    print(\"|\",end = \"\")\n",
    "                else:\n",
    "                    print(\" \",end=\"\")\n",
    "                print(action_visuals[np.argmax(tab[x,y])],end = \"\")\n",
    "                if x==2 and y==0:\n",
    "                    print(\"|\",end = \"\")\n",
    "                else:\n",
    "                    print(\" \",end=\"\")\n",
    "            print(\"\\n\")\n",
    "#         print(\"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "prevState = learner.wrap.originalState"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "354.1702379733324"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(learner.rewardHist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[152.98877643, 152.83501543, 126.48947455, 157.20347736],\n",
       "        [143.96592285, 181.01031941, 141.46958193, 139.0315559 ],\n",
       "        [142.11626052,  63.22343107, 195.54387118, 153.04490877],\n",
       "        [ 16.82985963,  26.83273697,  -0.8636217 , 104.32632653]],\n",
       "\n",
       "       [[165.78551826, 145.17568882,  98.41985983, 145.86697678],\n",
       "        [171.18616397, 158.04635294,  91.84959456, 164.02421645],\n",
       "        [140.51239154, 110.7717982 , 107.98879713, 111.0389524 ],\n",
       "        [ 30.56067487, 117.80380119, 129.46891558,  13.27326588]],\n",
       "\n",
       "       [[170.0574098 , 114.30540218, 101.20003657, 154.11255223],\n",
       "        [152.94947953,  41.70576037,  26.98544645, 105.77882983],\n",
       "        [131.39658012,  86.77058921,  99.02828765,  78.10275425],\n",
       "        [110.96179994, 118.17360505,  92.78114229, 101.80285724]],\n",
       "\n",
       "       [[149.56142653,  48.52624642,  66.93268403, 103.56603909],\n",
       "        [ 83.45259156,  79.47153859,  41.0413453 ,  20.0193086 ],\n",
       "        [107.95926516,  64.27113298,  93.85742464,  84.03302076],\n",
       "        [114.77456906, 111.09390707, 101.21468571,   0.        ]]])"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.q_tab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([152.98877643, 152.83501543, 126.48947455, 157.20347736])"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.q_tab[prevState[0],prevState[1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{}"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.qtab_hist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[153.0, 152.8, 126.5, 157.2][165.8, 145.2, 98.4, 145.9][170.1, 114.3, 101.2, 154.1][149.6, 48.5, 66.9, 103.6]\n",
      "\n",
      "[144.0, 181.0, 141.5, 139.0][171.2, 158.0, 91.8, 164.0][152.9, 41.7, 27.0, 105.8][83.5, 79.5, 41.0, 20.0]\n",
      "\n",
      "[142.1, 63.2, 195.5, 153.0][140.5, 110.8, 108.0, 111.0][131.4, 86.8, 99.0, 78.1][108.0, 64.3, 93.9, 84.0]\n",
      "\n",
      "[16.8, 26.8, -0.9, 104.3][30.6, 117.8, 129.5, 13.3][111.0, 118.2, 92.8, 101.8][114.8, 111.1, 101.2, 0.0]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "drawQtableVal(learner.q_tab)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "68.4546127319336"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.biggestRew"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "195.54387117594345"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.biggestLast"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  ^   <-  |<- | <-  \n",
      "\n",
      "  .   <-   <-   <-  \n",
      "\n",
      "  ->  <-   <-   <-  \n",
      "\n",
      "  ^    ->   .   <-  \n",
      "\n"
     ]
    }
   ],
   "source": [
    "drawQtablePath(learner.q_tab)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "transition = checker.showNonZeros()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f556c0ad0f0>]"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(learner.rewardHist[:-2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f556c031fd0>]"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.cumsum(learner.rewardHist))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "354.1702379733324"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(learner.rewardHist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{(0,\n",
       "  1): {0: {(0, 1): 30,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 2,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
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       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
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       "   (3, 3): 0}, 2: {(0, 1): 0,\n",
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       "   (1, 2): 0,\n",
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       "   (3, 0): 20,\n",
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       "   (1, 1): 0,\n",
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       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
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       "   (1, 2): 0,\n",
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       "   (3, 0): 12,\n",
       "   (3, 1): 0,\n",
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       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}},\n",
       " (3,\n",
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       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
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       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
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       "   (2, 2): 0,\n",
       "   (3, 3): 0}, 1: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
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       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 1,\n",
       "   (3, 1): 2,\n",
       "   (3, 2): 4,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
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       "   (3, 3): 0}, 2: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
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       "   (1, 2): 0,\n",
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       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 7,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}, 3: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
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       "   (2, 1): 0,\n",
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       "   (3, 0): 2,\n",
       "   (3, 1): 6,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}},\n",
       " (3,\n",
       "  2): {0: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
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       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 6,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 7,\n",
       "   (3, 3): 0}, 1: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
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       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
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       "   (3, 2): 3,\n",
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       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 2}, 2: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 9,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}, 3: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
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       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 3,\n",
       "   (3, 2): 5,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}},\n",
       " (0,\n",
       "  0): {0: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
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       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
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       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 29,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}, 1: {(0, 1): 16,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
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       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
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       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 13,\n",
       "   (1, 1): 1,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}, 2: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 18,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 17,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}, 3: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 73,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}},\n",
       " (1,\n",
       "  1): {0: {(0, 1): 11,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 15,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}, 1: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 1,\n",
       "   (1, 2): 14,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 12,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}, 2: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 10,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 9,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}, 3: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 6,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 10,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 0}},\n",
       " (2,\n",
       "  2): {0: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 9,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 7,\n",
       "   (3, 3): 0}, 1: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 3,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 2,\n",
       "   (3, 3): 0}, 2: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 9,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 10,\n",
       "   (3, 3): 0}, 3: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 1,\n",
       "   (2, 1): 2,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 5,\n",
       "   (3, 3): 0}},\n",
       " (3,\n",
       "  3): {0: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 1,\n",
       "   (2, 3): 3,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 4}, 1: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 5}, 2: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 1,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 6}, 3: {(0, 1): 0,\n",
       "   (0, 2): 0,\n",
       "   (0, 3): 0,\n",
       "   (1, 0): 0,\n",
       "   (1, 2): 0,\n",
       "   (1, 3): 0,\n",
       "   (2, 0): 0,\n",
       "   (2, 1): 0,\n",
       "   (2, 3): 0,\n",
       "   (3, 0): 0,\n",
       "   (3, 1): 0,\n",
       "   (3, 2): 0,\n",
       "   (0, 0): 0,\n",
       "   (1, 1): 0,\n",
       "   (2, 2): 0,\n",
       "   (3, 3): 2}}}"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "checker.stateDict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(0, 1) -> 0 -> (0, 1)  0.94\n",
      "\t    -> (0, 0)  0.06\n",
      "(0, 1) -> 1 -> (0, 1)  0.48\n",
      "\t    -> (0, 2)  0.48\n",
      "\t    -> (0, 0)  0.04\n",
      "(0, 1) -> 2 -> (0, 1)  0.57\n",
      "\t    -> (1, 1)  0.43\n",
      "(0, 1) -> 3 -> (0, 1)  0.5\n",
      "\t    -> (0, 0)  0.5\n",
      "(0, 2) -> 0 -> (0, 2)  1.0\n",
      "(0, 2) -> 1 -> (0, 2)  0.5\n",
      "\t    -> (0, 3)  0.29\n",
      "\t    -> (0, 0)  0.21\n",
      "(0, 2) -> 2 -> (0, 2)  0.5\n",
      "\t    -> (1, 0)  0.06\n",
      "\t    -> (1, 2)  0.44\n",
      "(0, 2) -> 3 -> (0, 1)  0.5\n",
      "\t    -> (0, 2)  0.5\n",
      "(0, 3) -> 0 -> (0, 3)  1.0\n",
      "(0, 3) -> 1 -> (0, 3)  1.0\n",
      "(0, 3) -> 2 -> (0, 3)  0.62\n",
      "\t    -> (1, 3)  0.38\n",
      "(0, 3) -> 3 -> (0, 2)  0.57\n",
      "\t    -> (0, 3)  0.43\n",
      "(1, 0) -> 0 -> (1, 0)  0.54\n",
      "\t    -> (0, 0)  0.46\n",
      "(1, 0) -> 1 -> (1, 0)  0.52\n",
      "\t    -> (1, 1)  0.48\n",
      "(1, 0) -> 2 -> (1, 0)  0.42\n",
      "\t    -> (2, 0)  0.58\n",
      "(1, 0) -> 3 -> (1, 0)  1.0\n",
      "(1, 2) -> 0 -> (0, 2)  0.37\n",
      "\t    -> (1, 2)  0.63\n",
      "(1, 2) -> 1 -> (1, 2)  0.36\n",
      "\t    -> (1, 3)  0.64\n",
      "(1, 2) -> 2 -> (1, 2)  0.5\n",
      "\t    -> (2, 2)  0.5\n",
      "(1, 2) -> 3 -> (1, 2)  0.45\n",
      "\t    -> (1, 1)  0.55\n",
      "(1, 3) -> 0 -> (0, 3)  0.38\n",
      "\t    -> (1, 3)  0.62\n",
      "(1, 3) -> 1 -> (1, 0)  0.25\n",
      "\t    -> (1, 3)  0.75\n",
      "(1, 3) -> 2 -> (1, 3)  0.36\n",
      "\t    -> (2, 3)  0.64\n",
      "(1, 3) -> 3 -> (1, 0)  0.1\n",
      "\t    -> (1, 2)  0.1\n",
      "\t    -> (1, 3)  0.8\n",
      "(2, 0) -> 0 -> (1, 0)  0.6\n",
      "\t    -> (2, 0)  0.4\n",
      "(2, 0) -> 1 -> (2, 0)  0.64\n",
      "\t    -> (2, 1)  0.36\n",
      "(2, 0) -> 2 -> (2, 0)  0.53\n",
      "\t    -> (3, 0)  0.47\n",
      "(2, 0) -> 3 -> (2, 0)  1.0\n",
      "(2, 1) -> 0 -> (2, 1)  0.38\n",
      "\t    -> (1, 1)  0.62\n",
      "(2, 1) -> 1 -> (2, 1)  0.5\n",
      "\t    -> (2, 2)  0.5\n",
      "(2, 1) -> 2 -> (2, 1)  0.55\n",
      "\t    -> (3, 1)  0.45\n",
      "(2, 1) -> 3 -> (2, 0)  0.4\n",
      "\t    -> (2, 1)  0.6\n",
      "(2, 3) -> 0 -> (1, 0)  0.11\n",
      "\t    -> (1, 3)  0.56\n",
      "\t    -> (2, 3)  0.33\n",
      "(2, 3) -> 1 -> (2, 3)  1.0\n",
      "(2, 3) -> 2 -> (2, 3)  0.5\n",
      "\t    -> (3, 0)  0.17\n",
      "\t    -> (3, 3)  0.33\n",
      "(2, 3) -> 3 -> (2, 3)  0.6\n",
      "\t    -> (2, 2)  0.4\n",
      "(3, 0) -> 0 -> (2, 0)  0.52\n",
      "\t    -> (3, 0)  0.48\n",
      "(3, 0) -> 1 -> (3, 1)  1.0\n",
      "(3, 0) -> 2 -> (3, 0)  1.0\n",
      "(3, 0) -> 3 -> (3, 0)  1.0\n",
      "(3, 1) -> 0 -> (2, 1)  0.5\n",
      "\t    -> (3, 1)  0.5\n",
      "(3, 1) -> 1 -> (3, 0)  0.14\n",
      "\t    -> (3, 1)  0.29\n",
      "\t    -> (3, 2)  0.57\n",
      "(3, 1) -> 2 -> (3, 1)  1.0\n",
      "(3, 1) -> 3 -> (3, 0)  0.25\n",
      "\t    -> (3, 1)  0.75\n",
      "(3, 2) -> 0 -> (2, 0)  0.07\n",
      "\t    -> (3, 2)  0.43\n",
      "\t    -> (2, 2)  0.5\n",
      "(3, 2) -> 1 -> (3, 2)  0.6\n",
      "\t    -> (3, 3)  0.4\n",
      "(3, 2) -> 2 -> (3, 2)  1.0\n",
      "(3, 2) -> 3 -> (3, 1)  0.38\n",
      "\t    -> (3, 2)  0.62\n",
      "(0, 0) -> 0 -> (0, 0)  1.0\n",
      "(0, 0) -> 1 -> (0, 1)  0.53\n",
      "\t    -> (0, 0)  0.43\n",
      "\t    -> (1, 1)  0.03\n",
      "(0, 0) -> 2 -> (1, 0)  0.51\n",
      "\t    -> (0, 0)  0.49\n",
      "(0, 0) -> 3 -> (0, 0)  1.0\n",
      "(1, 1) -> 0 -> (0, 1)  0.42\n",
      "\t    -> (1, 1)  0.58\n",
      "(1, 1) -> 1 -> (1, 0)  0.04\n",
      "\t    -> (1, 2)  0.52\n",
      "\t    -> (1, 1)  0.44\n",
      "(1, 1) -> 2 -> (2, 1)  0.53\n",
      "\t    -> (1, 1)  0.47\n",
      "(1, 1) -> 3 -> (1, 0)  0.38\n",
      "\t    -> (1, 1)  0.62\n",
      "(2, 2) -> 0 -> (1, 2)  0.56\n",
      "\t    -> (2, 2)  0.44\n",
      "(2, 2) -> 1 -> (2, 3)  0.6\n",
      "\t    -> (2, 2)  0.4\n",
      "(2, 2) -> 2 -> (3, 2)  0.47\n",
      "\t    -> (2, 2)  0.53\n",
      "(2, 2) -> 3 -> (2, 0)  0.12\n",
      "\t    -> (2, 1)  0.25\n",
      "\t    -> (2, 2)  0.62\n",
      "(3, 3) -> 0 -> (2, 1)  0.12\n",
      "\t    -> (2, 3)  0.38\n",
      "\t    -> (3, 3)  0.5\n",
      "(3, 3) -> 1 -> (3, 3)  1.0\n",
      "(3, 3) -> 2 -> (3, 0)  0.14\n",
      "\t    -> (3, 3)  0.86\n",
      "(3, 3) -> 3 -> (3, 3)  1.0\n"
     ]
    }
   ],
   "source": [
    "for k in transition.keys():\n",
    "    for a in transition[k].keys():\n",
    "        m = 0\n",
    "        first = True\n",
    "        for ns in transition[k][a].keys():\n",
    "            m+= transition[k][a][ns]\n",
    "        for ns in transition[k][a].keys():\n",
    "            if first:\n",
    "                print(k,\"->\",a,\"->\",ns,\"\",round(transition[k][a][ns]*1.0/m,2))\n",
    "                first = False;\n",
    "            else:\n",
    "                print(\"\\t   \",\"->\",ns,\"\",round(transition[k][a][ns]*1.0/m,2))\n",
    "                "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "vals = np.matrix(values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[41.98542023]])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(vals[:,0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[-42.01132202]])"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "min(vals[:,0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[42.188694]])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(vals[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[-0.]])"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "min(vals[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([107.95926516,  64.27113298,  93.85742464,  84.03302076])"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.q_tab[(3,2)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.argmax(learner.q_tab[3,2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0, 0)"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.wrap.getCurrentIndex()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4, 4, 4)"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.q_tab.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 1, 2, 3]"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learner.action_space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.choice(learner.action_space)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# running test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Environment shut down with return code 0.\n",
      "INFO:mlagents.envs:\n",
      "'Academy' started successfully!\n",
      "Unity Academy name: Academy\n",
      "        Reset Parameters : {}\n"
     ]
    }
   ],
   "source": [
    "env.trainmode=True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "try:\n",
    "    os.makedirs('rlgraphs')\n",
    "except OSError as e:\n",
    "    if e.errno != os.errno.EEXIST:\n",
    "        raise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "numberEpToRew = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "trail  0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Connected new brain:\n",
      "Unity brain name: slar\n",
      "        Number of Visual Observations (per agent): 0\n",
      "        Camera Resolutions: []\n",
      "        Vector Observation space size (per agent): 2\n",
      "        Vector Action space type: discrete\n",
      "        Vector Action space size (per agent): [3, 3]\n",
      "        Vector Action descriptions: \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epsilon: 0.43  ep: 156 |testing...615.548617079854\n",
      "done\n",
      "epsilon: 0.43  ep: 157 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[240.2, 310.8, 225.8, 273.0][285.4, 257.6, 238.0, 255.3][254.9, 146.3, 177.5, 226.2][228.1, 150.3, 164.2, 176.0]\n",
      "\n",
      "[282.5, 310.3, 315.8, 234.5][287.7, 293.3, 183.4, 256.9][311.4, 192.2, 200.5, 169.4][263.6, 141.7, 135.6, 185.1]\n",
      "\n",
      "[276.3, 255.9, 310.9, 267.9][258.1, 275.5, 329.5, 289.8][288.1, 203.5, 184.7, 304.2][175.2, 166.6, 165.6, 211.9]\n",
      "\n",
      "[200.5, 238.2, 198.9, 264.7][214.4, 194.6, 179.8, 274.5][173.4, 180.7, 176.3, 167.4][169.2, 64.4, 47.0, 201.5]\n",
      "\n",
      "  .   <-  |<- | <-  \n",
      "\n",
      "  ->   .   <-   <-  \n",
      "\n",
      "  ->   ->   ^    ^  \n",
      "\n",
      "  ^    ^    .    ^  \n",
      "\n",
      "trail  1\n",
      "epsilon: 0.38  ep: 181 |testing...328.97332549095154\n",
      "epsilon: 0.35  ep: 203 |testing...696.659822396934\n",
      "done\n",
      "epsilon: 0.35  ep: 204 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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O2r8Vt5/cjbo1KidsfQlNCuEetg23G7ea6Gyk7dsacF0i43HOudJi49ZsHh4/nRcmLKBF3eq8cFkfDu+c+OOopbognnPOlUWfz0zn1tFpLM3YwsUHteOmE7pQs2rxfF17UnDOuRJi3eZtDH1nGqN+XEyHxjV546qDSGnXoFhj8KTgnHMlwHtpy7jjrSms3byN64/qyPVHd6Ra5YrFHocnBeecS6KV6zP561tTGD9lOT1a1mHEZQfQvUXdpMXjScE555LAzHhj0mLufWcqmdm5DD6xK1ce1p5KFZNbvNqTgnPOFbNFazZz65g0vpy1ij7tGjDsjJ7s1bhWssMCPCk451yxyck1Xvh2Pg+/PwMBQwd05/y+balQQckOLZ8nBeecKwazV25g8Kg0Ji1YyxGdG3P/6T1pWa96ssP6fzwpOOdcAmXl5PKfz+fwj49nU6NqRR47ex9O27clUsnZO4jlScE55xIkbXEGN49KZdqy9Zzcqzl3n9qdRrWqJjusnfKk4JxzRSwzK4e/fzSLp7+cS8OaVfjPhftzQvdmyQ4rLp4UnHOuCH03dzVDRqcxb9Umzk5pza0n703d6okrYFfUPCk451wR2JCZxUPjZ/DihAW0blCdl6/oyyEdGyU7rELzpOCcc3vo0xkruW10GsvWZ3LZIe35ywmdqVGldH69ls6onXOuBFi7aRtD35nK6J+W0KlJLUZdczC929RPdlh7xJOCc84Vkpnxbtoy7nxrChlbsrjhmE5cd1QHqlYq/gJ2Rc2TgnPOFcKK9Znc/uZkPpy6gl6t6vLSFX3Zu3mdZIdVZDwpOOdcHMyM1ycu4t53p7EtO5dbT+rKZYckv4BdUUv0PZrrAc8APQADLgNOAK4E0kOzW81sXGh/C3A5kAPcYGbvJzI+55yLx8LVmxkyOpVv5qymb/sGPHhGL9o1qpnssBIi0XsKjwPjzexMSVWAGkRJ4TEzeyS2oaRuwDlAd6AF8JGkzmaWk+AYnXOuQDm5xvPfzOeR92dQsYK4b2APzj2gTYkqYFfUEpYUJNUFDgcuATCzbcC2ndT7GAC8amZbgXmSZgN9gG8TFaNzzu3IzBUbuHlkKj8vWsfRXZtw38AeNK9b8grYFbVE7im0J+oiek7SPsAk4A9h2vWSLgImAn82s7VAS2BCzPyLw7jfkDQIGATQpk2bxEXvnCuXtmXn8uRnc/jXp7OoXa0yj5+zL6fu06LEFrAraok8QlIJ6A08aWb7AZuAIcCTQAdgX2AZ8LfCLNTMhptZipmlNG7cuIhDds6VZ78sWsep//qKxz6aSb8ezfnwj4czoARXNE2ERO4pLAYWm9l3YXgkMMTMVuQ1kPQ08E4YXAK0jpm/VRjnnHMJtWVbDo99NJNnvpxLk9rVeOaiFI7t1jTZYSVFwpKCmS2XtEhSFzObARwDTJXU3MyWhWYDgcnh+VjgFUmPEh1o7gR8n6j4nHMO4Ns5q7lldCrzV2/m3D5tuOWkrtSpVnoK2BW1RJ999Hvg5XDm0VzgUuAfkvYlOkV1PnAVgJlNkfQ6MBXIBq7zM4+cc4myPjOLYe9N55XvFtK2YQ1eubIvB3cofQXsiprMLNkx7LaUlBSbOHFissNwzpUyH09bwW1jJrNyQyZXHLYXfzy2M9WrlP4SFfGSNMnMUgqa5lc0O+fKjdUbt3L321MZ+8tSujStzVMX7s++reslO6wSxZOCc67MMzPG/rKUu9+eyobMLP54bGeuObIDVSqVrRIVRcGTgnOuTFuWsYXbx0zm4+kr2ad1PR46oxddmtVOdlgllicF51yZlJtrvPrDIh4YN42s3FxuP3lvLj2kPRXLcImKouBJwTlX5sxftYkho1OZMHcNB3doyAOn96Rtw7JZwK6oeVJwzpUZ2Tm5/Pfrefztg5lUqViBYaf35OwDWperK5L3lCcF51yZMH35egaPTOWXxRkcu3dT7j2tB83qVkt2WKWOJwXnXKm2NTuHJz6dw78/nU3d6pX557n70b9Xc9872E2eFJxzpdZPC9cyeFQqM1dsZOB+Lbmjfzca1KyS7LBKNU8KzrlSZ/O2bP72wUz++/U8mtWpxn8vSeHoruWzgF1R86TgnCtVvpm9iiGj01i4ZjMXHNiGwSd2pXY5LmBX1DwpOOdKhYwtWTwwbhqv/rCI9o1q8tqgA+m7V8Nkh1XmeFJwzpV4H0xZzu1vTmbVxq1cdURUwK5a5fJTwK44eVJwzpVYqzZu5a6xU3gndRldm9XmmYtT6NXKC9glkicF51yJY2a8+fMS7n57Kpu35vDn4zpz9ZEdqFzRC9glmicF51yJsnTdFm4bk8anM9LZr01UwK5TUy9gV1w8KTjnSoTcXOPl7xcybNw0cg3uPKUbFx3UzgvYFTNPCs65pJubvpEho9L4fv4aDu3YiAdO70nrBjWSHVa5lNCkIKke8AzQg+iezJcBM4DXgHZE92j+nZmtVXRN+uPAScBm4BIz+zGR8Tnnkis7J5dnvprHYx/OpGqlCjx0Zi/O2r+Vl6hIokTvKTwOjDezMyVVAWoAtwIfm9kwSUOAIcBgoB/QKTz6Ak+Gv865Mmjq0vXcPOoXJi9ZzwndmzJ0QA+a1PECdsmWsKQgqS5wOHAJgJltA7ZJGgAcGZqNAD4jSgoDgBfMzIAJkupJam5myxIVo3Ou+G3NzuFfn8zmyc/mUK9GZf59fm/69WjmewclRCL3FNoD6cBzkvYBJgF/AJrGfNEvB/IKlrQEFsXMvziM+01SkDQIGATQpk2bhAXvnCt6kxasYfCoNGav3MgZvVtx+8l7U98L2JUoiUwKlYDewO/N7DtJjxN1FeUzM5NkhVmomQ0HhgOkpKQUal7nXHJs2prNw+/PYMS382lRtzojLuvDEZ0bJzssV4BEJoXFwGIz+y4MjyRKCivyuoUkNQdWhulLgNYx87cK45xzpdiXs9K5ZXQai9du4eKD2nLTiV2pVdVPfCypEnZ5oJktBxZJ6hJGHQNMBcYCF4dxFwNvhedjgYsUORDI8OMJzpVeGZuzuOmNX7jw2e+pUqkCb1x9EHcP6OEJoYRL9Lvze+DlcObRXOBSokT0uqTLgQXA70LbcUSno84mOiX10gTH5pxLkPGTl3PHW5NZs2kb1x7ZgRuO6eQF7EqJhCYFM/sZSClg0jEFtDXgukTG45xLrJUbMrlr7BTGpS2nW/M6PHfJAfRoWTfZYblC8P0459weMzNG/biEoe9MZUtWDjed0IVBh+/lBexKIU8Kzrk9snjtZm4dM5kvZqaT0rY+w87oRccmtZIdlttNO0wKkv5JVJqiQGZ2Q0Iics6VCrm5xosTFvDg+OkA3H1qdy48sC0VvIBdqbazPYWJ4e8hQDeiekUAZxGdReScK6fmpG9k8MhUJi5Yy+GdG3P/wB60qu8F7MqCHSYFMxsBIOka4FAzyw7DTwFfFk94zrmSJCsnl+FfzOXxj2dRvXJFHjlrH87o3dJLVJQh8RxTqA/UAdaE4VphnHOuHJm8JIObR6Yyddl6TurZjLtO7U6T2l7ArqyJJykMA36S9CkgoiJ3dyUyKOdcyZGZlcPjH89i+BdzaVCzCk9d0JsTezRPdlguQXaZFMzsOUnv8WsZ68HhamXnXBn3w/w1DB6ZytxVmzhr/1bcfnI36taonOywXALtMimEm98cC+xlZvdIaiOpj5l9n/jwnHPJsHFrNg+Nn84L3y6gVf3qvHh5Hw7r5AXsyoN4uo/+DeQCRwP3ABuAUcABCYzLOZckn89M59bRaSzN2MIlB7fjphO6UNPrFZUb8bzTfc2st6SfAMKtM70AunNlzLrN27jnnamM/nEJHRrXZOTVB7F/2wbJDssVs3iSQpakioQL2SQ1JtpzcM6VAWbGe5OX89e3JrNucxbXH9WR64/u6AXsyql4ksI/gDFAE0n3AWcCtyc0KudcsVi5PpM73prM+1NW0KNlHUZc1ofuLbyAXXkWz9lHL0uaRFTZVMBpZjYt4ZE55xLGzHhj0mLufWcqW7NzGdKvK1cc2p5KXsCu3Ivn7KN/AK+a2RPFEI9zLsEWrdnMLaPT+Gr2Kvq0a8CwM3qyV2MvYOci8XQfTQJuD3dQG0OUICbuYh7nXAmTk2u88O18Hho/gwqCoaf14Pw+bbyAnfuNeLqPRgAjJDUAzgAelNTGzDolPDrnXJGYtWIDg0el8uPCdRzZpTH3DexJy3rVkx2WK4EKc/JxR6Ar0BbwYwrOlQJZObk89dkc/vnJbGpWrchjZ+/Daft6ATu3Y/EcU3gIGAjMAV4FhprZungWLmk+0cVuOUC2maVIugu4EkgPzW41s3Gh/S3A5aH9DWb2fqG2xjmXL21xBjeN/IXpyzfQv1dz7jq1O41qVU12WK6Ei2dPYQ5wkJmt2s11HFXAvI+Z2SOxIyR1A84BugMtgI8kdTaznN1cr3PlUmZWDo99NJOnv5hLo1pVGX7h/hzfvVmyw3KlRDxJ4WngPEn5tY+AZgmofTSA6CD2VmCepNlAH+DbIl6Pc2XWd3NXM2R0GvNWbeKcA1pzy0l7U7e6F7Bz8YvnpOQngIOAc8PwhjAuHgZ8IGmSpEEx46+XlCrpv5Ly7s3QElgU02ZxGPcbkgZJmihpYnp6+vaTnSuXNmRmcfubaZw9fALZubm8fEVfhp3RyxOCK7RE1z461MyWSGoCfChpOvAkMJQoYQwF/gZcFm/AZjYcGA6QkpKyw3tIO1defDp9JbeOSWP5+kwuP7Q9fz6+MzWqeAE7t3sSWvvIzJaEvysljQH6mNkXedMlPQ28EwaXAK1jZm8VxjnnCrBm0zbueXsKb/68lE5NajHqmoPp3cZviuj2TMJqH0mqCVQwsw3h+fHAPZKam9my0GwgMDk8Hwu8IulRogPNnQC/Z4Nz2zEz3kldxl1jp5CxJYs/HNOJa4/qQNVKXsDO7blE1j5qCowJ50NXAl4xs/GSXpS0L9Gex3zgqrCeKZJeB6YC2cB1fuaRc7+1Yn0mt42ZzEfTVtCrVV1evrIvXZvVSXZYrgyRWcHd8pLqmNn6cCXz/2NmaxIaWRxSUlJs4kSvuOHKPjPjtR8Wcd+4aWzLzuUvx3fh0kPaeQE7t1skTTKzlIKm7WxP4RWgP1HtIyPaS4j9u1cRx+mcK8CC1Zu4ZXQa38xZTd/2DXjwjF60a1Qz2WG5MmqHScHM+oe/7YsvHOdcnpxc47mv5/HIBzOoVKEC9w/syTkHtPYCdi6h4jpvTVJLoppH+e1jzyJyzhWtGcs3cPOoVH5ZtI5jujbh3oE9aF7XC9i5xIun9tGDwNlEB4DzDvwa4EnBuSK2LTuXf382myc+nU3tapV5/Jx9OXWfFl7AzhWbePYUTgO6hPITzrkE+WXROm4emcqMFRsYsG8L/tq/Gw29gJ0rZvEkhblAZcCTgnMJsGVbDo9+OINnv5pHk9rVeOaiFI7t1jTZYblyaodJQdI/ibqJNgM/S/qYmMRgZjckPjznyrZv5qziltFpLFi9mfP6tmFIv67Uqeb1ilzy7GxPIe8CgElEVxs754rI+swsHhg3nf99v5C2DWvwypV9ObhDo2SH5dxOT0kdAfnlKjLzri4OdZC8o9O53fTR1BXc9mYa6Ru2MujwvfjjsZ2pXsVLVLiSIZ5jCh8DxwIbw3B14APg4EQF5VxZtHrjVu5+eypjf1lK12a1GX5hCvu0rpfssJz7jXiSQjUzy0sImNlGSTUSGJNzZYqZMfaXpdw1dgobt2bzx2M7c82RHahSyUtUuJInnqSwSVJvM/sRQNL+wJbEhuVc2bAsYwu3j5nMx9NXsm/rejx0Zi86N62d7LCc26F4ksKNwBuSlhLVPWpGdDGbc24HcnON//2wkAfGTSc7N5fbT96bSw9pT0UvUeFKuHhKZ/8gqSvQJYyaYWZZiQ3LudJr3qpNDBmVynfz1nBwh4YMO70XbRp6j6srHeK9Z18XoBtQDegtCTN7IXFhOVf6ZOfk8t+v5/G3D2ZSpVIFHjyjJ79Lae0lKlypEk/tozuBI4mSwjigH/AV4EnBuWDasvUMHpVK6uIMjuvWlHtP60HTOtWSHZZzhRbPnsKZwD7AT2Z2qaSmwEuJDcu50mFrdg5PfDqHf386my/MysUAABhpSURBVLrVK/Ov8/bj5J7Nfe/AlVrxJIUtZpYrKVtSHWAl0DrBcTlX4v24cC2DR6Yya+VGBu7Xkr/270b9mlWSHZZzeySepDBRUj3gaaKSFxuBb+NZuKT5wAaiktvZZpYSbu/5GtCO6B7NvzOztYp+Wj0OnERUb+mSvNNgnStJNm/L5pH3Z/LcN/NoVqcaz11yAEd1bZLssJwrEvGcfXRtePqUpPFAHTNLLcQ6jjKzVTHDQ4CPzWyYpCFheDDRsYpO4dEXeDL8da7E+Hr2KoaMTmXRmi1ceGBbbj6xC7W9gJ0rQ+I9+wgAM5tfBOscQHTgGmAE8BlRUhgAvGBmBkyQVE9SczNbVgTrdG6PZGzJ4v53p/HaxEW0b1ST1wYdSN+9GiY7LOeKXKGSwm4w4ANJBvzHzIYDTWO+6JcDeYXjWwKLYuZdHMb9JilIGgQMAmjTpk0CQ3cu8sGU5dz+5mRWb9rG1Ud04MZjO1Gtshewc2VTopPCoWa2RFIT4ENJ02MnmpmFhBG3kFiGA6SkpBRqXucKI33DVu56ewrvpi5j7+Z1ePbiA+jZqm6yw3IuoXZ2k50GO5vRzNbsauFmtiT8XSlpDNAHWJHXLSSpOdHZTABL+O1ZTa3COOeKlZkx5qcl3PPOVDZvzeEvx3fmqiM6ULmiF7BzZd/O9hQmEXX/CGgDrA3P6wELgfY7W3C4D0MFM9sQnh8P3EN0w56LgWHh71thlrHA9ZJeJTrAnOHHE1xxW7JuC7eNSeOzGen0bhMVsOvYxAvYufJjZzfZaQ8g6WlgjJmNC8P9gNPiWHZTYEy4iKcS8IqZjZf0A/C6pMuBBcDvQvtxRKejziY6JfXS3doi53ZDbq7x8ncLGPbedHIN7jylGxcd1M4L2LlyR9HJPjtpIKWZWc9djUuGlJQUmzhx4q4bOrcTc9M3MmRUGt/PX8NhnRpx/8CetG7gBexc2SVpkpmlFDQtngPNSyXdzq+lLc4HlhZVcM4lS3ZOLk9/OY/HPppJtUoVePjMXpy5fysvUeHKtXiSwrnAncAYomMMX4RxzpVaU5ZmMHhUKpOXrOeE7k0ZOqAHTbyAnXM7TwqSKgK3mtkfiike5xIqMyuHf34yi6c+n0v9GlV48vze9OvZPNlhOVdi7DQpmFmOpEOLKxjnEmnSgjXcPDKVOembOKN3K+7ovzf1angBO+dixdN99JOkscAbwKa8kWY2OmFROVeENm3N5uH3ZzDi2/m0qFudEZf14YjOjZMdlnMlUjxJoRqwGjg6ZpwBnhRciffFzHRuGZ3G0owtXHRgW246sSu1qib6Qn7nSq94qqT69QKu1MnYnMXQd6cyctJi9mpck9evOogD2u30In3nHPHdjrMacDnQnWivAQAzuyyBcTm328ZPXsYdb01hzaZtXHtkB244xgvYORevePajXwSmAycQlak4H5iWyKCc2x0rN2Ry51tTeG/ycro1r8NzlxxAj5ZewM65wognKXQ0s7MkDTCzEZJeAb5MdGDOxcvMGDlpMfe+O40tWTncfGIXrjxsLy9g59xuiCcpZIW/6yT1ILoHgt970JUIi9Zs5tYxaXw5axUHtKvPsDN60aFxrWSH5VypFU9SGC6pPnAHUSXTWuG5c0mTm2u88O18Hnp/BgLuGdCdC/q2pYIXsHNuj8Rz9tEz4ennwF6JDce5XZu9ciNDRqUyccFaDu/cmPsH9qBVfS9g51xRiOfsoznABKLjCF+a2ZSER+VcAbJychn+xVwe/2gW1atU5G9n7cPpvVt6ATvnilA83UfdiG56cxjwsKQuQKqZDUxoZM7FmLwkg5tHpjJ12XpO6tmMu0/tQePaVZMdlnNlTjxJIYfoYHMOkEt0+8yVO53DuSKSmZXD4x/PYvgXc2lQswpPXbA/J/ZoluywnCuz4kkK64E04FHgaTNbndiQnIv8MH8Ng0emMnfVJn6X0orbTupG3RqVkx2Wc2VavPdTOBS4FrhC0jfAF2b2cUIjc+XWxq3ZPDR+Oi98u4BW9avz0uV9ObRTo2SH5Vy5EM/ZR28Bb0nqCvQDbgRuBqrHs4JwT4aJwBIz6y/peeAIICM0ucTMflZ0tPBxovs0bw7jfyzk9rhS7tMZK7ltdBrL1mdy6SHt+MvxXajpBeycKzbxnH00CtgHmEN017WLgO8KsY4/EJXFqBMz7iYzG7ldu35Ap/DoCzwZ/rpyYO2mbQx9Zyqjf1pCxya1GHn1wezftn6yw3Ku3InnJ9gDwE9mllPYhUtqBZwM3Af8aRfNBwAvmJkBEyTVk9TczJYVdr2u9DAzxqUt586xk1m3OYvfH92R64/uSNVKXsDOuWSIpzjMVOAWScMBJHWS1D/O5f+dqKspd7vx90lKlfSYpLzzClsCi2LaLA7jfkPSIEkTJU1MT0+PMwxXEq1cn8lVL07iuld+pHnd6oy9/lD+fHwXTwjOJVE8SeE5YBtwcBheAty7q5lC4lhpZpO2m3QL0BU4AGgADI47WsDMhptZipmlNG7sd88qjcyM139YxDGPfs7nM9O5pV9Xxlx7MN1a1Nn1zM65hIqn+6iDmZ0t6VwAM9us+C4hPQQ4VdJJRPdhqCPpJTO7IEzfKuk54C9heAnQOmb+VmGcK0MWrdnMLaPT+Gr2Kvq0b8Cw03uylxewc67EiCcpbJNUnegWnEjqAGzd1UxmdgvRXgGSjgT+YmYX5B0nCInlNGBymGUscL2kV4kOMGf48YSyIyfXGPHNfB5+fwYVK4h7T+vBeX3aeAE750qYeJLCncB4oLWkl4n2AC7Zg3W+LKkxIOBn4OowfhzR6aiziU5J9duAlhGzVmzg5lGp/LRwHUd2acz9A3vSol5cZzQ754qZopN9djAx+jXfiuhL+kCiL/IJZraqeMLbuZSUFJs4cWKyw3A7sC07l6c+n8O/PplNzaoVufOU7gzYt4UXsHMuySRNMrOUgqbtdE/BzEzSODPrCbybkOhcmZS6eB03j0xl+vINnLJPC+48pRuNankBO+dKuni6j36UdICZ/ZDwaFypl5mVw2MfzuTpL+fSuHZVnr4oheO6NU12WM65OMWTFPoC50taAGwi6kIyM+uV0MhcqTNh7mqGjEpl/urNnNunNUP67U3d6l7AzrnSJJ6kcELCo3Cl2obMLIa9N52Xv1tImwY1eOWKvhzc0QvYOVcaxVMQb0FxBOJKp0+mr+C2MZNZsT6TKw5tz5+O70yNKl7AzrnSyv973W5Zs2kb97w9hTd/XkrnprX49/kHs18bL2DnXGnnScEVipnxduoy7ho7hQ2ZWfzhmE5cd1RHqlSKp2KKc66k86Tg4rY8I5Pb35zMR9NWsE+rujx4Zl+6NvN6Rc6VJZ4U3C6ZGa/+sIj7351GVm4ut520N5cd2p6KXqLCuTLHk4LbqQWrNzFkVBrfzl3NgXs1YNjpvWjXqGayw3LOJYgnBVegnFzjua/n8cgHM6hcoQL3D+zJOQe09gJ2zpVxnhTc/zNjeVTA7pdF6zimaxPuHdiD5nW9gJ1z5YEnBZdvW3Yu//5sNk98Opva1Srzj3P345Rezb2AnXPliCcFB8DPi9YxeGQqM1ZsYMC+LbjzlO40qFkl2WE554qZJ4Vybsu2HP72wQz++/U8mtSuxrMXp3DM3l7AzrnyypNCOfbNnFUMGZXGwjWbOa9vG4b060qdal7AzrnyzJNCObQ+M4sHxk3jf98vom3DGvzvygM5qEPDZIflnCsBPCmUMx9NXcFtb6aRvmErVx2+Fzce25nqVSomOyznXAmR8KQgqSIwEVhiZv0ltQdeBRoCk4ALzWybpKrAC8D+wGrgbDObn+j4yovVG7dy19tTefuXpXRtVpunL0qhV6t6yQ7LOVfCFEcVsz8A02KGHwQeM7OOwFrg8jD+cmBtGP9YaOf2kJnx5k9LOPbRzxk/eRl/Oq4zY68/1BOCc65ACU0KkloBJwPPhGEBRwMjQ5MRwGnh+YAwTJh+jPwE+T2ydN0WLh8xkRtf+5m2DWvy7g2HccMxnbyiqXNuhxLdffR34GagdhhuCKwzs+wwvBhoGZ63BBYBmFm2pIzQflXsAiUNAgYBtGnTJqHBl1a5ucYr3y9k2HvTyck17ujfjUsObucF7Jxzu5SwpCCpP7DSzCZJOrKolmtmw4HhACkpKVZUyy0r5q3axJBRqXw3bw2HdGzIAwN70aZhjWSH5ZwrJRK5p3AIcKqkk4BqQB3gcaCepEphb6EVsCS0XwK0BhZLqgTUJTrg7OKQnZPLs1/N49EPZ1KlUgUeOqMXZ6W08hIVzrlCSVhSMLNbgFsAwp7CX8zsfElvAGcSnYF0MfBWmGVsGP42TP/EzHxPIA5Tl65n8KhU0pZkcFy3ptx7Wg+a1qmW7LCcc6VQMq5TGAy8Kule4Cfg2TD+WeBFSbOBNcA5SYitVNmancO/PpnNk5/NoV6NyjxxXm9O6tnM9w6cc7utWJKCmX0GfBaezwX6FNAmEzirOOIpCyYtWMvgUanMXrmR0/dryR39u1HfC9g55/aQX9Fcymzels3D78/g+W/m07xONZ679ACO6tIk2WE558oITwqlyFezVjFkdCqL127hwgPbcvOJXajtBeycc0XIk0IpkLEli/vencrrExfTvlFNXr/qIPq0b5DssJxzZZAnhRLu/SnLuePNyazetI1rjuzAH47pRLXKXsDOOZcYnhRKqPQNW7lr7BTeTVvG3s3r8OzFB9CzVd1kh+WcK+M8KZQwZsboH5dwzztT2bIth5tO6MKgw/eickWvV+ScSzxPCiXIknVbuHV0Gp/PTKd3m3o8dGYvOjapvesZnXOuiHhSKAFyc42XvlvAg+9Nx4C7TunGhQd5ATvnXPHzpJBkc9I3MmRUKj/MX8thnRpx/8CetG7gBeycc8nhSSFJsnJyefrLufz9o1lUq1SBh8/sxZn7ewE751xyeVJIgslLMhg8KpUpS9dzYvdm3HNad5rU9gJ2zrnk86RQjDKzcvjnJ7N46vO51K9RhSfP702/ns2THZZzzuXzpFBMJs5fw82jUpmbvokzerfijv57U6+GF7BzzpUsnhQSbNPWqIDdiG/n06JudUZc1ocjOjdOdljOOVcgTwoJ9PnMdG4dncbSjC1cfFA7bjqhCzWr+kvunCu5/BsqAdZt3sbQd6Yx6sfF7NW4Jm9cdRAp7byAnXOu5POkUMTeS1vGHW9NYe3mbVx3VAd+f7QXsHPOlR4JSwqSqgFfAFXDekaa2Z2SngeOADJC00vM7GdFJ+g/DpwEbA7jf0xUfEVt5fpM/vrWFMZPWU73FnUYcdkBdG/hBeycc6VLIvcUtgJHm9lGSZWBryS9F6bdZGYjt2vfD+gUHn2BJ8PfEs3MGDlpMUPfmUpmdi6DT+zKFYe19wJ2zrlSKWFJwcwM2BgGK4eH7WSWAcALYb4JkupJam5myxIV455atGYzt45J48tZqzigXX2GndGLDo1rJTss55zbbQn9OSupoqSfgZXAh2b2XZh0n6RUSY9JqhrGtQQWxcy+OIwrcXJyjee/nscJf/+CHxesZeiA7rw26CBPCM65Ui+hB5rNLAfYV1I9YIykHsAtwHKgCjAcGAzcE+8yJQ0CBgG0adOmyGPeldkrNzB4VBqTFqzliM6NuW9gD1rV9wJ2zrmyoVg6vs1sHfApcKKZLbPIVuA5oE9otgRoHTNbqzBu+2UNN7MUM0tp3Lj4LgLLysnlX5/M4qTHv2JO+kYe/d0+PH/pAZ4QnHNlSiLPPmoMZJnZOknVgeOAB/OOE4SzjU4DJodZxgLXS3qV6ABzRkk5njB5SQY3jUxl2rL1nNyzOXed2p3GtavuekbnnCtlEtl91BwYIaki0R7J62b2jqRPQsIQ8DNwdWg/juh01NlEp6RemsDY4pKZlcPfP5rF01/OpUHNKjx1wf6c2KNZssNyzrmESeTZR6nAfgWMP3oH7Q24LlHxFNb389YwZFQqc1dt4uyU1tx60t7UrVE52WE551xC+RXN29mQmcVD42fw4oQFtKpfnZcu78uhnRolOyznnCsWnhRifDpjJbeNTmPZ+kwuO6Q9fzmhMzWq+EvknCs//BsPWLtpG0Pfmcron5bQsUktRl59MPu3rZ/ssJxzrtiV66RgZrybtow735pCxpYsbji6I9cd3ZGqlbyAnXOufCq3SWHF+kzueHMyH0xdQc+WdXnpir7s3bxOssNyzrmkKpdJ4dPpK7nh1Z/Ylp3LLf26cvmh7ankBeycc658JoX2jWrSu0197jq1O+0b1Ux2OM45V2KUy6TQrlFNRlzWZ9cNnXOunPE+E+ecc/k8KTjnnMvnScE551w+TwrOOefyeVJwzjmXz5OCc865fJ4UnHPO5fOk4JxzLp+ie9uUTpLSgQW7OXsjYFURhlMa+DaXD77N5cOebHNbMyvwJvelOinsCUkTzSwl2XEUJ9/m8sG3uXxI1DZ795Fzzrl8nhScc87lK89JYXiyA0gC3+bywbe5fEjINpfbYwrOOef+v/K8p+Ccc247nhScc87lK/NJQdKJkmZImi1pSAHTq0p6LUz/TlK74o+yaMWxzX+SNFVSqqSPJbVNRpxFaVfbHNPuDEkmqdSfvhjPNkv6XXivp0h6pbhjLGpxfLbbSPpU0k/h831SMuIsKpL+K2mlpMk7mC5J/wivR6qk3nu8UjMrsw+gIjAH2AuoAvwCdNuuzbXAU+H5OcBryY67GLb5KKBGeH5Nedjm0K428AUwAUhJdtzF8D53An4C6ofhJsmOuxi2eThwTXjeDZif7Lj3cJsPB3oDk3cw/STgPUDAgcB3e7rOsr6n0AeYbWZzzWwb8CowYLs2A4AR4flI4BhJKsYYi9out9nMPjWzzWFwAtCqmGMsavG8zwBDgQeBzOIMLkHi2eYrgSfMbC2Ama0s5hiLWjzbbECd8LwusLQY4ytyZvYFsGYnTQYAL1hkAlBPUvM9WWdZTwotgUUxw4vDuALbmFk2kAE0LJboEiOebY51OdEvjdJsl9scdqtbm9m7xRlYAsXzPncGOkv6WtIESScWW3SJEc823wVcIGkxMA74ffGEljSF/X/fpUp7FI4r1SRdAKQARyQ7lkSSVAF4FLgkyaEUt0pEXUhHEu0NfiGpp5mtS2pUiXUu8LyZ/U3SQcCLknqYWW6yAystyvqewhKgdcxwqzCuwDaSKhHtcq4ulugSI55tRtKxwG3AqWa2tZhiS5RdbXNtoAfwmaT5RH2vY0v5weZ43ufFwFgzyzKzecBMoiRRWsWzzZcDrwOY2bdANaLCcWVVXP/vhVHWk8IPQCdJ7SVVITqQPHa7NmOBi8PzM4FPLBzBKaV2uc2S9gP+Q5QQSns/M+xim80sw8wamVk7M2tHdBzlVDObmJxwi0Q8n+03ifYSkNSIqDtpbnEGWcTi2eaFwDEAkvYmSgrpxRpl8RoLXBTOQjoQyDCzZXuywDLdfWRm2ZKuB94nOnPhv2Y2RdI9wEQzGws8S7SLOZvogM45yYt4z8W5zQ8DtYA3wjH1hWZ2atKC3kNxbnOZEuc2vw8cL2kqkAPcZGaldi84zm3+M/C0pD8SHXS+pDT/yJP0P6LE3igcJ7kTqAxgZk8RHTc5CZgNbAYu3eN1luLXyznnXBEr691HzjnnCsGTgnPOuXyeFJxzzuXzpOCccy6fJwXnnHP5PCk4F0iqJ+na3Zz3Rkk1YobnS0oLlSs/LwuVaF354EnBuV/VI6qauztuBGpsN+4oM+sFfAbcvgdxOVdsPCk496thQAdJP0t6WNJNkn4Iv/bvBpBUU9K7kn6RNFnS2ZJuAFoAn0r6tIDlfksoUiapXWxtfEl/kXRXeP6ZpAclfS9ppqTDEr3Bzm2vTF/R7FwhDQF6mNm+ko4nKnvSh6hW/VhJhwONgaVmdjKApLpmliHpT0R7BqsKWO6JRCUn4lHJzPqEm8PcCRy7h9vkXKH4noJzBTs+PH4CfgS6EhWTSwOOC7/oDzOzjJ0s41NJS4B+wP/iXO/o8HcS0G53AnduT3hScK5gAh4ws33Do6OZPWtmM4nuhJUG3CvprztZxlFAW+Bn4O4wLpvf/t9V226evIq1OfievEsCTwrO/WoDUZltiIquXSapFoCklpKaSGoBbDazl4gKC/YuYN584cZNNxJVsmwArACaSGooqSrQP6Fb5Fwh+S8R5wIzWx3uUjaZ6G50rwDfhkqyG4ELgI7Aw5JygSyie1xDdG/g8ZKWmtlR2y13Wah2eZ2ZDQ1VPb8nqns/vTi2zbl4eZVU55xz+bz7yDnnXD5PCs455/J5UnDOOZfPk4Jzzrl8nhScc87l86TgnHMunycF55xz+f4PDI8fLCTJm6MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[220.7, 271.9, 199.8, 218.7][254.6, 228.6, 173.4, 204.5][271.2, 221.3, 142.4, 232.1][176.0, 168.7, 156.6, 175.3]\n",
      "\n",
      "[236.8, 252.3, 230.6, 214.7][275.9, 246.2, 207.6, 217.1][282.2, 216.6, 169.9, 220.6][233.2, 175.0, 181.1, 188.8]\n",
      "\n",
      "[255.1, 231.1, 294.9, 241.0][296.2, 218.2, 220.4, 266.4][248.9, 203.6, 165.1, 209.9][177.1, 173.1, 188.5, 187.1]\n",
      "\n",
      "[177.3, 207.4, 191.9, 233.6][186.2, 194.8, 205.3, 222.7][198.1, 191.1, 192.0, 200.6][192.6, 191.0, 165.8, 193.6]\n",
      "\n",
      "  .   <-  |<- | <-  \n",
      "\n",
      "  .   <-   <-   <-  \n",
      "\n",
      "  ->  <-   <-    -> \n",
      "\n",
      "  ^    ^    ^    ^  \n",
      "\n",
      "trail  2\n",
      "epsilon: 0.43  ep: 156 |testing...196.58945088461041\n",
      "epsilon: 0.38  ep: 186 |testing...-64.65650616958737\n",
      "epsilon: 0.31  ep: 223 |testing...695.5261133015156\n",
      "done\n",
      "epsilon: 0.31  ep: 224 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[234.5, 243.2, 234.2, 238.0][283.8, 256.0, 211.7, 215.4][273.6, 207.6, 162.2, 202.6][189.3, 187.6, 175.5, 190.6]\n",
      "\n",
      "[232.6, 302.7, 253.0, 248.7][301.5, 213.5, 227.5, 208.5][275.7, 210.7, 178.3, 236.4][203.5, 169.4, 192.8, 209.7]\n",
      "\n",
      "[253.7, 229.7, 315.9, 250.9][259.1, 238.4, 261.3, 273.8][215.5, 240.0, 229.9, 284.9][213.3, 171.0, 219.2, 238.7]\n",
      "\n",
      "[211.9, 183.0, 219.0, 234.7][218.6, 208.8, 215.9, 265.6][233.2, 220.0, 188.3, 222.3][225.3, 179.1, 199.4, 196.7]\n",
      "\n",
      "  .   <-  |<- |  ^  \n",
      "\n",
      "  .   <-   <-    ^  \n",
      "\n",
      "  ->   ^    ^    ^  \n",
      "\n",
      "  ^    ^   <-   <-  \n",
      "\n",
      "trail  3\n",
      "epsilon: 0.34  ep: 206 |testing...872.4009147137403\n",
      "done\n",
      "epsilon: 0.34  ep: 207 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[196.4, 208.5, 189.5, 195.9][208.4, 224.5, 186.5, 194.3][229.2, 192.7, 179.7, 195.2][213.8, 188.1, 165.1, 176.7]\n",
      "\n",
      "[222.7, 285.8, 215.6, 206.0][272.8, 219.7, 171.0, 200.4][242.6, 201.5, 208.6, 191.2][219.6, 187.4, 132.4, 211.9]\n",
      "\n",
      "[206.7, 213.5, 218.3, 203.5][213.0, 238.2, 255.8, 250.9][211.0, 214.8, 203.7, 246.9][185.4, 194.9, 172.3, 226.5]\n",
      "\n",
      "[196.1, 179.5, 215.2, 194.4][195.7, 218.0, 195.3, 223.6][206.0, 214.6, 235.9, 201.0][214.9, 185.0, 208.0, 217.6]\n",
      "\n",
      "  .    .  |<- | <-  \n",
      "\n",
      "  .   <-   <-   <-  \n",
      "\n",
      "  ->   ->   ^    ^  \n",
      "\n",
      "  ->   ^    ->   ^  \n",
      "\n",
      "trail  4\n",
      "epsilon: 0.42  ep: 162 |testing...808.1788873970509\n",
      "done\n",
      "epsilon: 0.42  ep: 163 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[209.5, 267.8, 204.3, 220.4][250.5, 216.7, 214.9, 213.3][233.2, 210.3, 145.5, 208.7][202.5, 160.5, 155.8, 162.5]\n",
      "\n",
      "[231.1, 260.0, 217.0, 206.7][254.5, 226.5, 214.4, 232.6][263.0, 190.1, 152.9, 221.4][235.3, 172.0, 173.8, 155.1]\n",
      "\n",
      "[194.7, 215.5, 232.4, 218.2][172.4, 224.0, 287.6, 219.8][182.5, 213.4, 215.9, 262.7][181.0, 181.9, 145.4, 223.5]\n",
      "\n",
      "[206.3, 201.8, 232.2, 216.3][206.8, 207.9, 258.9, 228.9][171.3, 193.0, 190.3, 219.3][206.6, 199.3, 182.7, 129.9]\n",
      "\n",
      "  .   <-  |<- | <-  \n",
      "\n",
      "  .   <-   <-   <-  \n",
      "\n",
      "  ->   ->   ^    ^  \n",
      "\n",
      "  ->   ->   ^   <-  \n",
      "\n",
      "trail  5\n",
      "epsilon: 0.31  ep: 225 |testing...734.5093567669392\n",
      "done\n",
      "epsilon: 0.31  ep: 226 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[198.2, 232.1, 181.7, 183.9][247.5, 231.8, 174.4, 186.2][244.2, 184.0, 184.0, 174.7][181.9, 146.6, 164.5, 174.5]\n",
      "\n",
      "[215.3, 273.1, 190.8, 189.0][260.4, 205.0, 175.5, 196.7][228.2, 206.9, 137.0, 202.5][197.7, 150.0, 168.2, 168.6]\n",
      "\n",
      "[204.1, 195.6, 276.7, 216.7][201.5, 204.9, 185.0, 229.5][180.4, 188.9, 152.9, 179.8][161.2, 159.4, 152.0, 166.0]\n",
      "\n",
      "[174.8, 171.8, 175.9, 184.9][181.4, 193.9, 206.8, 189.3][192.4, 195.6, 197.1, 180.7][189.5, 192.8, 186.1, 179.5]\n",
      "\n",
      "  .   <-  |<- | <-  \n",
      "\n",
      "  .   <-   <-   <-  \n",
      "\n",
      "  ->   ^    .    ^  \n",
      "\n",
      "  ^    ->   ->   .  \n",
      "\n",
      "trail  6\n",
      "epsilon: 0.57  ep: 91 |testing...301.02318077906966\n",
      "epsilon: 0.38  ep: 184 |testing...88.30586709082127\n",
      "epsilon: 0.37  ep: 192 |testing...266.3866545408964\n",
      "epsilon: 0.35  ep: 202 |testing...791.1154708862305\n",
      "done\n",
      "epsilon: 0.35  ep: 203 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[248.0, 303.9, 249.9, 258.0][299.6, 255.1, 223.0, 253.7][244.9, 254.4, 204.6, 244.9][259.8, 175.3, 195.7, 168.9]\n",
      "\n",
      "[258.0, 281.5, 275.3, 278.1][320.8, 305.2, 244.3, 260.5][302.3, 220.7, 158.3, 208.1][252.9, 181.9, 168.6, 223.5]\n",
      "\n",
      "[302.5, 262.4, 326.1, 283.4][280.4, 249.7, 287.8, 324.0][252.2, 253.6, 206.8, 257.9][187.4, 181.2, 213.3, 237.7]\n",
      "\n",
      "[267.0, 248.7, 193.0, 280.1][239.1, 236.5, 217.7, 217.5][219.1, 206.0, 216.1, 273.7][208.8, 221.1, 214.2, 225.1]\n",
      "\n",
      "  .   <-  | . | <-  \n",
      "\n",
      "  .   <-   <-   <-  \n",
      "\n",
      "  ->   ^    ^    ^  \n",
      "\n",
      "  ^   <-    ^    ^  \n",
      "\n",
      "trail  7\n",
      "epsilon: 0.45  ep: 147 |testing...359.3466951092705\n",
      "epsilon: 0.31  ep: 223 |testing...774.9003054499626\n",
      "done\n",
      "epsilon: 0.31  ep: 224 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[217.6, 258.8, 193.9, 211.9][207.6, 287.1, 202.8, 198.2][238.1, 248.8, 164.4, 205.9][201.4, 169.5, 169.3, 150.9]\n",
      "\n",
      "[200.4, 300.7, 206.0, 207.2][305.2, 224.8, 211.4, 214.3][287.0, 216.6, 181.6, 223.8][250.9, 189.7, 183.8, 206.3]\n",
      "\n",
      "[215.1, 199.5, 264.6, 203.0][266.5, 234.3, 266.2, 272.2][203.5, 213.7, 187.3, 278.5][192.9, 167.0, 180.9, 238.1]\n",
      "\n",
      "[195.7, 194.0, 195.2, 213.8][201.2, 183.1, 198.9, 213.8][189.5, 181.6, 174.1, 214.6][198.7, 153.3, 188.6, 182.3]\n",
      "\n",
      "  .    .  | . | <-  \n",
      "\n",
      "  .   <-   <-   <-  \n",
      "\n",
      "  ->   ^    ^    ^  \n",
      "\n",
      "  ^    ^    ^   <-  \n",
      "\n",
      "trail  8\n",
      "epsilon: 0.28  ep: 249 |testing...363.50784289091825\n",
      "epsilon: 0.22  ep: 289 |testing...524.7376679517329\n",
      "epsilon: 0.22  ep: 297 |testing...870.5046949088573\n",
      "done\n",
      "epsilon: 0.21  ep: 298 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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®\u0014©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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[240.0, 305.3, 251.5, 247.4][275.6, 207.4, 237.0, 247.6][240.9, 212.6, 190.8, 236.1][210.3, 152.4, 144.3, 155.4]\n",
      "\n",
      "[257.8, 293.9, 217.5, 246.3][279.6, 257.3, 203.9, 241.1][293.2, 207.0, 193.1, 269.8][259.9, 201.3, 173.6, 168.7]\n",
      "\n",
      "[248.9, 207.6, 302.4, 218.8][273.0, 236.1, 306.2, 258.4][208.1, 195.7, 244.4, 280.6][171.4, 177.0, 177.4, 223.0]\n",
      "\n",
      "[190.8, 198.6, 241.9, 201.1][194.2, 203.5, 240.8, 279.0][190.6, 192.8, 197.2, 244.2][221.7, 193.4, 180.3, 183.0]\n",
      "\n",
      "  .   <-  |<- | <-  \n",
      "\n",
      "  .   <-   <-   <-  \n",
      "\n",
      "  ->   ->   ^    ^  \n",
      "\n",
      "  ->   ^    ^   <-  \n",
      "\n",
      "trail  9\n",
      "epsilon: 0.45  ep: 147 |testing...82.72144684568048\n",
      "epsilon: 0.44  ep: 149 |testing...525.61716683954\n",
      "epsilon: 0.42  ep: 161 |testing...501.1135404855013\n",
      "epsilon: 0.39  ep: 180 |testing...179.14184302091599\n",
      "epsilon: 0.28  ep: 250 |testing...833.3737959861755\n",
      "done\n",
      "epsilon: 0.27  ep: 251 |-----\n"
     ]
    },
    {
     "data": {
      "image/png": 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YWFhYWOSGNRoWFhYWFrlhjYaFhYVFj+Ent+/C927Z0ZV9W6NhYWFh0WP42R278ePbd3Zl39ZoWFhYWPQYpusB+ovdKfhhjYaFhYVFj2HGj1AuuF3Z94IaDSL6/4joHiL6IxF9n4jKRPRoIrqFiLYQ0Q+JqKi2LannW9T7Gxdy7BYWFhaLFVU/RF+xx4wGEa0H8HYAZwohzgDgQvY0/g8AFwghToTsdfwm9ZE3ARhTr1+gtrOwsLCwSGGmHqK/Fz0NyCq7fUTkAegHsAfACwD8WL3/TQCvVI9foZ5DvX8WEdFhHKuFhYXFEYHpetB7noYQYjeATwPYAWksDgG4HcC4ECJQm+0CsF49Xg9gp/psoLZfcTjHbGFhYXEkoNqLmgYRLYP0Hh4NYB2AAQB/Ng/7PY+INhHRppGRkbnuzsLCwuKIQhBGqIcR+nrNaAD4UwDbhBAjQggfwE8BPBPAUkVXAcCxAHarx7sBbAAA9f4SAKPpnQohviKEOFMIceaqVZmNpywsLCx6FtUgAgD09xo9BUlLPY2I+pU2cRaAzQB+C+DVaptzAfxCPb5YPYd6/2ohhDiM47WwsLBY9JiuS3a/3GtGQwhxC6Sg/XsAd6uxfAXAewC8i4i2QGoWF6qPXAhghXr9XQDee9gHbWFhYbHIUa1LT6Nb9NSC9ggXQnwIwIdSLz8E4CkZ21YB/OXhGJeFhYXFkYoZPwTQPaOx0CG3FhYWFhbzCKanelHTsLCwsLCYZ7Cn0XMhtxYWFhYW848q01PW07CwsLCwaIeZeu+G3FpYWFhYzDNY07BCuIWFhYVFW1StpmFhYWFhkRczVtOwsLCwsMiLmS4n91mjYWFhYdFDmPYDFD0HrtOdzhHWaFhYWFj0EKr1sGteBmCNhoWFhUVPYcYPuxZuC1ijYWFhYdFTmLaehoWFhYVFXlT9sGvhtoA1GhYWFhY9hRk/7Fq4LWCNhoWFhUVPYaZuNQ0LCwsLi5yYrlt6ysLCwsIiJ6q+FcItLCwsLHJixhoNCwsLC4u8qAcRil73pnZrNCwsLCx6CEEk4LndKSECWKNhYWFh0VMIQgGvS3WnAGs0LCx6Hpffsxfv/cldCz0Mi8OEMBLwXEtPWVhYzBI3bh3FT3+/e6GHYXGY4EeR9TQsLCxmjyCKUA8j1INooYdi0WWEkYAQgOdYT8PCwmKWCEIBIO4dbdG7CCK5MLBCuIWFxazhK6NRqYcLPBKLboMXCJaesrCwmDVCtfqcrllPo9cRRNJodKtrH2CNhoVFz8OPrKdxtCAI5QKhYKOnLCwsZouQNY1Zeho3bDmAGWtwjgiEaoFgNQ0LC4tZg8XR2XgaB6ZqeM3XbsHFd9qQ3SMB7FX2rKZBREuJ6MdEdB8R3UtETyei5UR0BRE9qP4vU9sSEX2eiLYQ0V1E9KSFHLuFxWLGFZv3ae/An0P01GRVfmZs2p+/wRkQQmD7gUpX9n00ItRCeO/SU58DcJkQ4lQAjwdwL4D3ArhKCHESgKvUcwB4CYCT1N95AL54+IdrYbH48cj4DN78rU247J49AGLKolLr3NOoBfIzU9XuiOg3bh3F8z9zDXYenO7K/o82+L0ccktESwA8B8CFACCEqAshxgG8AsA31WbfBPBK9fgVAL4lJG4GsJSIjjnMw7awWPSYqEqvoOrLCcRX4uhsPA3ex1SXIq8OVuoQAjg00x1P5miD1jR61NN4NIARAN8gojuI6GtENABgjRBij9pmL4A16vF6ADuNz+9SryVAROcR0SYi2jQyMtLF4VtYLE5MK1qKJxAOw5zNxF/1w1l/Ng8iIcfGY+01HJr2cdW9+3Jte8EVD+Azl98/p+PxAqFXQ249AE8C8EUhxBMBVBBTUQAAIYQA0NHVJIT4ihDiTCHEmatWrZq3wVocfuwYncYNWw4s9DCOOFSV0eAJmY3G9CyEcG00ukRPcTJa0KNG4x0/vANv+uYm7D1UbbvtDVsO4HcPzu165/NZ6EV6CtJT2CWEuEU9/zGkEdnHtJP6v1+9vxvABuPzx6rXLI5QfODnd+PSu/Y0ff85n/otXvO1W5q+b5GNBk9DrT4rs/I0OPIq/2dveWgUUU4jwGPsVU/jkfEZAJKGa4daEGkjPVv0dHKfEGIvgJ1EdIp66SwAmwFcDOBc9dq5AH6hHl8M4HUqiuppAA4ZNJbFEYhL7tyDG7dmr6wsxz17zPhJoxHOwdNgIXwyp6dx754J/PVXbsbN20ZzbR/0uNEYKHkA8hndehChNseikocjuc/r2p7z4W0AvktERQAPAXgDpCH7ERG9CcDDAP5KbfsrAC8FsAXAtNrW4ghGEEZoNlfk5YEtGjGToqf8OXkanWkabFzyGhkucdKrRmNQGY08568WhHM2GuFh8DQW1GgIIf4A4MyMt87K2FYAeGvXB2Vx2BBEAkJkTxa/uWcvAKDYxRVTr4KjpJStmKOm0ZnBYQPF3Ho7xGJ9b5ZtHyjKKTaPEa3PAz3FyX29qmlYHOUIIqFXw2mwcNirk0k3MaMmei2E6yq3nXsaneZp1NlopH43IQSue2CkYZFwtNBTeejW2jzQU+y59WrIrcVRDCEEwkg0padCNblEAi1FVT+M8MaLbsOdO8e7McwjEjPa00iu4qdnkdyn8zTqQVOv0IQfcG5Ictuv/W4bXvf1W3HVvfsTr/e6ED5UlkZjIofRYE8jz3luBj7vPSmEWxzd4Iu7madh0ht+C29jfNrH1fftx+93jM3vAI9gNBPCZ+NpMF0iRD56i39XFmQZ1z0oc6bSobW97mlwDai8nkYkGg1uJwg1PWU9DYseA1/czRZVpjFpNaH0enLYbDDdIIRzGZHZh9wC+cRc1jT81O+xdf8UACC9AE4nIPYa+HsdalO7K4qEpvaqwex1jV5P7rM4iuG3iZoxX2+18ur1SWc2mGmWpzEbIdyYwPIYDa1ppDyNR5RGlebs+Xdr5nEe6eDfoJ2nUTfO11zE8NjTsEbDoscQtKGnTKORnoCytrOeRgxNT6UywutBpFeieWFOYHnE8KzoqfHpOLEtPSFG2rD15u8X5DQapjGt+bMXwwOraVj0KtgQNFtghsYbrbyIdISQhUFPGV5YX8FNvJcXtU7pKRbCDR1q854J/bjaxNPoVaPP0UxtPY1gfjwNPu9W07DoObSjJUztu5XR0J5Gj9Ibs0EshMdRakv6CgA61zWqfqh1iHyaRqMRv2/PpH5cS02IPKn2Kr2Y39MIjcez9zQOR3KfNRoWC4J29FQQRTqxrxU9FQvhNp+DYWaE86S1YrAIABibbl8DyUQ1CLF8oAQgHz2VpWnsn6zpx800jV41+uzttQu5nTdPgwsW2jwNi14Du9FN8zQioFSQl2drIVz+79WV6mwwbeRpsHFev7QPALB/otb0c1mo+RFWKoMz2+ip0aka1gyXQNQ4IWpPsUOt5UgBX5eTtaAlBVdLGI25eBoqesoK4Ra9Bp7MmiUyRUKg5EkevlVWeDzpWKPB4EknFEKfu/XLpNHYN9G+RHdiX0GIlYPK0+jEaBiT4MFKHSsGSih5ToOn0evRb6ahaOVtzLen0bM9wi2OXgRtPI0gjFDymJ7KIYQv0knnR7ftxHUPHN5mYOxpRIanccySMgBgX4eeRtWPMNznoeBSZ5qG6WlU6lgxWES54Db1NHo15NY8D610jYSnMYc8DZvcZ9GzaKdpRCKmp3IJ4YvUaPzPNVvw3VsePqzHNDPCmQbsK3pYMVDEvskOPQ0/RNlzMVDy8mkauoxIPAmOVmpYMVBE2Ws0GsFR5Gm0NhrxeZkLPcVaUhcdDWs0LBYGbT2NKIrpqVZ5Govc0/BDMavqsrNFFIkEPaVXng5h9XAZ+3PSUz+4dQc2vvdSVGoBSgUXZc9NTGzNkJWncXCqjuUDJZQKzempXqUXzeuyVeSaSU/lOc+tjldwCUSWnrLoMejaU00m+yiCpqdaCeGR9jSMle1UDR+++J7EjbhQ8MPosBqNGWMlb9JTrkNYM1zKTU999soHAQBj0z7KBQdFz8l1PmMhXJXE8ENU6qGkp45CTyOKhF71p0urmJgvITyIRFfDbQFrNCwWCO247FAIbTRaUU9ZQur1Ww7gohu34769E80+dtgQRGJWNZ9mC9NohCKexAuugzVD5dxC+Orhkn5cLrgoZojYWUjnaXCb0+UDRZQLTsOEGPW8phHpxMpWRne+hPAgFF0NtwWs0bBYIPBkljVZcEJaSd1srarchhkFC7nhTd5uc92EH0SJibzbmKknPQ0z2WvNcAkHpmot6T7G6iHDaHguSjk9jXQ/jdEpaTRWDBRRyqC4gh5P7gsjgb6iuo5bnPdEct9cjEYUdTXcFrBGw2KBEAvhje/xa7mip9R9aBoNNhaVWfSPmG/4UXRYx2FSYWEk4mQvV2oakZDRTCZ2jU3jMR+8DA/uizO3Vw2V9WNNT+UwNul+GqMVSYetGCyilOFpLPZAhrkiyGk0Ep7GHGhVPxRdbcAEWKNhsUDgFWZWngZPIOVCfiE8YTSqbDQW3tMIQqFDYA8HkvRU7Gl4joM1wxx2m6Sorti8DzN+iO/cHEd5DZfjTtDlgoui6+QqpKc1CvWbxfRUCeWC2zQj3FwYVP0QB6Y6Cw1erAiNul+t6D1+z3VojlVuo67maADWaFgsEOLaU43v8USny4i0KliYoWlMVmVo4+QCGw2hynhM18OW3QfnE6aBioyQW9clTTmlxfBB1ZJ0shbg7P/6HT72y80JI1wuOCgVXNTyeBphkm5io7FisCiT+3LkaXzht1vwyi/ckOPbth/LXCKR5gNBKPTiJ+1pCCG0d8dGY7jszVnT8Cw9ZdGLaJWnwd5DnKfRWWn0ydri8DTMqK+5JGx1Ap5wiFRGuFGLiGmS9ETKLUknqwH+uHsCX7t+W6IWFHsauTSNVJ7Ggak6Ci5hqORlJvcFOhkw3vdDByrYc6g6p7anAPDcT/4Wj/vw5XPax1wRCcNopM7fTVtH8cILrsOW/ZPaaAyVC3MqWBhEwnoaFr2JWAhvfE/TUx6v0FpET2XkaSwWesqcCA+XrsGTdtlzZe2pKKY9OBQzrR84Kqbf7HthekYlz1FCeOd5GgcrNSwfKIKIUM7K08igF0cmawgjMafJE5CNn+a6j7kiiAT6lbFOa0IjioJ7eHQatSBE0XPQl2FYOzteBK+L2eCANRoWCwSe5FtpGtrT6DBPg6OnJnNkMHcTfhCP+3DpGjwvFVySVW4NIdylbKPBv8XDo9PxfozfpVRwM+tGZYENPOckTNUCDJdlWfZSRp5GlqfIesZCG/35gKlppBc/rBHtm6ihHkQouU5mWHInCELraVj0KFr109BGQ+dp5MgIN27IqcVCTy2Ap8GeRVF5GloId52mngZ7B2YJc3NRXPbcjpP7WAifroeaFisXnKZNmIKUpwHM3zmbaZNcKYTAf15+fyJ6bL4QRJGmp9LnjynLfRPSIyop7WhunobVNCx6FDypZGmrbEhKeeipjJWqNhqHMWopC6Yhm/E7G8vV9+3Dv//q3o6PGQcRkAq5lSfYa0FPpT25obKXoKeWDxRzh9zWU/TUTD3UK21NmRn74QUBj6nqh/OeZ5OOxLr6vn24cesB/bxSD/H5q7fg8s375uV4JkK18i+6jeePjcP+yar0NDxX6j5z1jQsPWXRg2hVGj1IeRqthPCsKreLhp4KZ+9pXPbHvfjBbTs7PqY2Gp6jNA32NEjTFulotPT5XdZfRCgE1i0p4xdvfSZOWTuUO+RWlxFR/2f82NNgutGcFGMhXP43J/j5MvojKaPxxos24Zyv3qKf8+TthxH2HJrBg/smIYTArdsOzlmM57IeBZcahHCTnqoFEYpKO5pTcl9oQ24tehRxE6bGm5JXueUmXLAJnpfN/XDI7YLTU4bR6FTTqNTDXJnbaSSMhognY8+J6an0OU+f32X9BVkzySE8fsNSAHLCz5fcx5qGMhr1UAvB/Hua9AuPJdJGIxbj58vTGJlsnfPBWk0QCnz6Nw/gn753B27ZdhB/9eWbEv3NZ4NIKKPhOfDDKEEZmvRUPQhR8pzMCLNOYOkpi55F2CIjvMHTyCGE8zb1INKTwEJnhCcrnHY2lkotaFngrt0xi56jCi5bDPoAACAASURBVBY20lPp85k2Tn1FF6FIFr4ruo3UUhbS0VPT9VAbC46GMwX1tKZxwJjgp+f4+/GKu12iIE/SQSQwVfNxaMbXkWR5ysG3AofAMj116gd/jXO/fqs6bqOnUW4RcLDtQAUfvWRzy5wf6WlYesqiB8ETYishvOA5Mt+gg9pTpnex0LWnTOFzusPVY6VNe9Bm4PNZdJ1Eu1fPpaaeRpquiiJ5Pl2jvHZRGfB23kZd01OxRtGfpqf8ZKkT879JJc3VUxzuk1FbByZb90XXRiOMEIQC1SCMy8vP4je4b++EHnsYCriOg4LroB7Isi7XbzmQOO5opYbpWntP45r79+PrN2xraQSPCk+DiFwiuoOIfqmeP5qIbiGiLUT0QyIqqtdL6vkW9f7GhRy3xdzAK9YsypgnNZckD99qxR1XuZX7Yx1jsOQtuNEwJ+PpDscyVQsRRqJjTp2NRNFzZMhtBj2VNhJpeioUApGQ9BSDvb52EVRxRrihaShPgwMbzEmRxxtmeBqz+f3CSOBTv7kPew7N6NdGprIr+/I4ND0VCfiRQNUPE95HJ6j6If78v2/QJVl4Ei8qeooxXQ+0YRIC2D0+E2saTc4xn6tWoc9HS8jtOwCYYSL/AeACIcSJAMYAvEm9/iYAY+r1C9R2FkcoWoXcxj0g5GTXihKJUp7GZE3qGWuGS6jUgjkLmXOBOe5Khz01eKXaSs/JAp+PAnsaavI2PY3G6KnGIoJNPY22RiOmC4UQCaNRVp6GOelleRrsmczG07hp6yi+8Nut+Oglm+Os9Caexs/v2I0nn3+lpqL8MEIQRqj6cQ+UTj2NXWPTqAcRxqZ9/XkWws1zd88jE4nM/N3jMyh5LjzXaWqo+PVW3l4Q9Tg9RUTHAngZgK+p5wTgBQB+rDb5JoBXqsevUM+h3j+LutmeyqIjfOG3W3DPI4dyb9+qjIj2NBwHnku5Qm75hmIOeu2SMoJ5yCqeC8ybu1NPQ9MbHU5aph6ULiPCk0lDnkaanhICYYSEp8FGo9X5NEVeWfcpghCy1SyQLYQHKU/xwFQNxywpo+g6TQ1t1Q/xn1c8kEnj7ByTCYr9RU9/93T0FOPq+/ZjZLKG3ePSEwnC+Hxxa9ZOPY0dB6cT3zGIIrgkPQ2zmOSdO8dR9aNEW9aS58BzCEEYIYoEvnfLjoS3xca9VRRbEImeL43+WQD/CoDPwgoA40IIPlO7AKxXj9cD2AkA6v1DavsEiOg8ItpERJtGRka6OXYLhSCM8Knf3I9L79qT/zMcPZVx/cc9IOIVczOkV6p8k60d7ks8XwiYgnOlHkIIgdGc1Vs53LRVL5EsaD3IVUK4UbCQJ6iGkNvUyjUIhYr6iV8r5TAavLJ3CLpQIwD0KQ9D78OY9NKe4uhUHSsGShgouU09jU3bx/D5qx7Epu1jDe/tOSQNwDFLykb9q+xzfq9q0jWmiioGRoFHNhqt9LQs7DwoabGqL3/vSEB5Go6O6gOAu3YdQi0IsXHlgKaTip5cJEVCju39P7sbb/zGbfozfoanYfZMAbgJ0wIaDSJa3upvLgcmorMB7BdC3D6X/aQhhPiKEOJMIcSZq1atms9dWzQBi7ydlD9g76FVnoZDklLpJE+DNY1jlsgy4AsZdmuO+/69E3jVF2/EmedfiS37W2ceM0UiH3e20k2G3Mb9NDxH9o12HWqIvuFcgpWDRQDsaSTpqTyaBk/SfQUZacVhxv0pT8OkZeIkz3hCLBUcDJS8pr8dT75Z/Sn2jMtJu6/oZkZkmeAJfmyajUakxzGmKavZexpxWXo2GvH3eWDfJKp+iDVDZbzksceo48d6BP/+t24/2GDAzN/gY5feq6Ox5DZiwWtP3Q5gk/o/AuABAA+qx3Od7J8J4M+JaDuAH0DSUp8DsJSIuJj/sQB2q8e7AWwAAPX+EgCjcxyDxTyAb+5OOtTpTOAW9JTnOCg47egp/s+ahhzLGmU0FtLTqBu1p36/Yxx37BiHEMCW/VMtP2fSMq0MZhZM4ZujoADpeQAyuKBRCI/QX3Cx6QMvxEvOWIswEjq/gBHTU81/Y/6dmI7iSbLckKfRXNNgIbdVIMOk1nsyjIbyNLh0CJFc1LTStsaV/hCEsZE1NYlOEBuNSJ9n1yWUvKTRmKwGqAURygUHr3/GRgDA3bsO6QnfpN7+76adenxA8jfYOjKFhw9W9HN/oZP7hBCPFkIcD+BKAC8XQqwUQqwAcDaAOdUcFkK8TwhxrBBiI4D/DeBqIcRrAPwWwKvVZucC+IV6fLF6DvX+1WIhVU4LDc5B6CSTtVXnPr5RHUfWTOpECNeahmo4NNc4+7mAJ/wBNWk+4wTJpu5vk2xWSfDYnXoakcrJQCKvgucR16HGkFujB4PrUCyEJ6Kn2ve55kl8oCS3nVAr5H4dPdU4IabzNPwwgus46C+6iS6EJvg3zVpM8KTN9N5gyYMQSUonrYSOpYRwADg0HVNWnWAnG40gy9OQ52NZfwFTtQBVX+awPOlRS/F3z3o0PvbKMwxPI/7unGCohXDjN5iqBQm6L1xEIbdPE0L8ip8IIX4N4BndGRLeA+BdRLQFUrO4UL1+IYAV6vV3AXhvl45v0SGYhuikZwTzs62q3LpE8NzGlXHWtmaehkPQVMtC1p/iCZ89h3Oe+ii4DjV0zktjbkYjLoMeChlCWnAlNQVACa1peioup82fCyKhS6YD+fI0eDLjaCleWXMZkQHlgZgeRIOnocY70MLTmGriafhhhN2KnuLEQK6wa3o3hVR0EWsaZtmV2NPI7+kJIbTRmqmHsafhOCi4pK+DlYMlTNUCzPgyN4OI8IGzT8NzTl7VQE85FFcfZoNmGo3Jqp8wMP5hSO7z2m8CAHiEiD4A4Dvq+WsAPDJfgxBCXAPgGvX4IQBPydimCuAv5+uYFvMH9jQ60TT4BmjlaXC9pFYTZzpPww9lZq3ZWGihkJ5gn3/KaqweKjV0zksjETHTsRAewXUIDpEWSU2PwXGoYSL0DfHUJelpRJHQhgKIuyjm8TQ4ZHZCrayZlhru8zBc9rB9NKZT0smZzMkPljzsPZRtXJsZjd1jM3o/rLPxdVD1QyxRyX7pc3qQPY0oLvA4NgtP42Clrr2jahAZi5+YHgSk0Xhw/xTGK74+Nww3RU+duHoQ2w9U9PiAZDDCVDVI1PIKo+7naeQ1Gn8D4EMAfgZAALhOvWZhEXsandBTrTLCRSyEe46TSwg3hdSC62DVoKSn2tUd6ibY2H32r58AP4wwUPKwericw9NopG/yosHTCKPEytpTryfHGXsajhLKG8qI5IqekvvtT2kabESICMevGsRDI3ISjCKhkzvNUN2CQyh5rYTwbHrKNEYzBj0FxNdmFImGhcp4hTWNSP9mfIxONA32cjyHUPNDI3LNSRjglart7mQtaDAabLzZaz9x9SAe2LcXE1Vfl95JeBq1APUgghACRDIRttsht22NBhG5AN4vhHhHV0diccSC3e6OjAZ7Ghk3Jd8cujpoB3kafhih6DoY7vMwVPKwa2ym6We7DZ40nn3SSqwYlBPF6qESdhjNjrJgUmqz0TTY02BtwuS4HaVZmPCNbTxH0oFRip7qKHqqmNQ0+oyJ8fhVA7hxi4xfMQ2i1jaUvtJXcDump+7bK6PS+ouuNryD2tNoHnjBwnoQioYFSp7z/7XfPYSL73wE737RKQCANcNlVP1Qh5Nz7SkGU6dAXFqF4aboqRNWDQIAdoxO63DgmnHv8LmQorqMWkvTb/ONtnsXQoQAntXVUVgc0ZjW0VMd0FNa02h8j29s1yF47fI0RLyfKBLwA4GCK3ni9cv6sGus9QTdTfAEa4ZArhkuYd9kB5rGLKKnuDhhFMloIDftaWTkafBE4yihvJmn0cpo1JvQU/wckJPg3okqplK1tUya0XNlyO10PTvqaSoVcrvn0Ay2jkzhnkcmsH5pH1YPlbT3O6Q0DY7sM4+ZFsT9KGosqZLD0+BjszaydkkZM6anoYRwxkq1gADiIo6MQgY9BchihTwWDjiRUWHQ2wvRSEd2A3lN0h1EdDERvZaIXsV/XR2ZxYLjjh1j+N2D7RMk2dPoJHoq7hHeQgh3pKZRDyP8/I7dmSGWUWq16ocRCp68aY5d1r/AngaHu8Y38ZqhMsan/Zahq6bRmE0ZEZOeCsIocXzXaQwsSERPaQ8FmUJ4y5DbIGk00iG3AHD8ygEAwLaRSsIgxvSU1FcGSl7TjP7Y05Cf+fP/vgFnfeZa/HH3IZy2bhgF19HagqlpyM/EYzxlzZAubcJjaEh0zGE0akq/4MiptUvKqPqxpuE5lKCnVhlGo7mnIcfLnsbDo5W4knPIddbiZMFaEBu8wiKJnipD5kS8AMDL1d/Z3RqUxeLAF367Bedf2r57HHsandBTfEO1EsI5euqOHWN45w//kGnAgtRqlTUNADh2WR92jc0sWP0pnoAKCU9Dai1v/e4duOyPezM/N2VoGh2XEQllUp4UwtGw8nSb0lNx9BTTU8mMcDnxb94zgR/cuiP72Gq/fQU5UbOnkaSn5CT40IGpZCazpqciLYQDsQEVIi7eGGsa8vyybrXtQAWnp41GStPgY77rhSfj5299ptZf5P5EQ0mVPNFT7H1tU5rKmiFJTwXG4se8BlYNtfI0kkZjqOxhzXAJ20en9fflEFsznNxMJnQXmp4CACHEGzL+3tjVkS1y7Dk00zS6Y7Himvv34zOX3597+1oQ5Yo+qhgRI1n4zOX34+d37E685us8jcZJMTLpKcfR2x6s+I3bJiaeSGsagDQaU7VAZ9QebtSNbGzG6mE5YVx57z68/2d3Z34uGXLbeRkR11V5GjrkNr7Ns4xGoMRnfj9LCGdN4/u37sR7f5o97jQ9NVkNUHCTE+ZxK/rhELB1pJKip1T0m6LX4qKF8tp687c24UMX36P3a56bJ6hGUQBw+rolKHqOQU8ljYZZm6tccBMGLTDyNPRrOYy2NhoHKhgseRgqe2rlr+hJx0HRWP0n6Kl09JTD9FRMba4ZLmNkspYI9gBiLYa3Z81jUXgaRFQmorcS0f8Q0df5r6sjW+R470/uxv/f5KZfrLjkzj345o3bc29fC6JceQ7toqd+cvsuXHFvsv+yrj3VssotJW4ArkZqwhQ2Q8Xhx55GPwAsGEXFrTfNupqrh8r68Ylq1Z2GKQB32ogpFNLTYJop3f6TX0+OM5XcJxqFcFPIBbIDGJieMoXwvtSkWC64OHnNEC6/Z69eDHBrWiBOTtOehrq2to9O60x6Pj9slM2xnb5uOFHsMI6eSpYr4cnZ1FvqYdTg+ebx9HgS33aggiV9BW0I2NtxHaSip2IhvJyip/h3YA2moLyUIIri2lMB01PxdVILQh1AslhKo38bwFoALwZwLWR5j9YFdHoQfhjhfT+9G7vHZzBR9RdsBTtbjE/XO6r66odRrtpNcZ5GtnBZDaKGypwtM8JTngYj63ybC8OQNQ2XNQ1ZtHChxPAgtcoHgA3L+/TjiWr29WO2hu20YB7XkeIKtTLDupGe+tK1W/Htm7bLbaKY0tO0lmjM7zANeFYhxTjkNvY0+opuw3b/8LwTcN/eSVxyp0z1KqlgBxZyPUcK4UDsddWCUJe6T0dP1cMIKwaK+Kfnn4hjlpRR8OIy5EM6uS/pafDEao4va9HTiacxPu1jaX9BGwIeOzdhYiwfMI1G8vzwuPg+jfuLC30tsK6UpKdiT8N1FwE9BeBEIcQHAVSEEN+ELGf+1O4Na3Hi4dFpfP/WHbhp66ieoI4kjCmjkZfj90MprrUSP4H45ohEdsbwTD1ELZA9r7nKa6s8jSiKjYYZc55lNKIo6WnUg3gC3NBFT2OqFuB7t+xoeS7rQdRQ0mGoXMCD578Ef33mBhysZPd5MPM0OhbC1aTLxQZrxvkA5Eo2jAQ+8ev78MFfSLrHbNzjqQKR6YKFQHJFnzWurOS+tKcBAGc/bh2OXzWAr9+wDYAUg4NIJIRcNhraqwgiTNaChMBsZkg/8VFL8c8vPgVESTqM6SkdPWV4sUBSb8lKTs3jaZgLMWk0kv1APEPTKHkOSp6r6b6Sl/I0ND0lx+u5qutfGAvdsacR3w9VP4wbcC0GegoAj26ciM6ALBa4ujtDWrzgHyuMZBJQvcMbeqExribddi07Gfx92/VqNims9I0nhGyfWQsifPbKB/EnH7sSY5V6onNfeuLVAiJRoswzF5YzYdJTHD3FVMBwn4eBootHxudfe7pys9Qkth2oNN0miKIGTwOQwviKwSIOVurZIaW1QE9mneZpBJHsuOcYK1bTcLnUmNznp5P7VPiyk6I5TIolK/SWrysuWDhRDfRjE65DeMwxw7oGV9HlLoMxj8/1q3Rds0B6vdxkSx7PyM3JyF4HGvM0zKZUQJKeyiq4mWdhaJ6LpX3FhjIqrkMoqPGxQWFj1uBppITwgitzPMy6WHw8k8ZMayjdRN69f4WIlgH4IGThwM04Cjvn8Yo7UElTnYqUCw2edPOW++CVTbtKsWZhuXTYLTfiqQUR7tw1DgC44t59iZVqet5MCOHGBDCew9MwNQ0iwnBfAVO1+acReYJpVlQPUL0Nmqz6lg8UEUQCEzON53aqFjQtedEOXEaCV9L1IKVpZAnhUTxO9i7qYYan4ZmeRuO4eMXNBRrrQaR7aaQxUHT1OEoFN+FpeA7pOlWanvIjTFWDBCVj0lOmcS4Y40xnhJtVgIEkPZVlCHNpGg2eRpKe8hxCyWWj4STG1aBppEJuPUVt+WHsYdUyNI2qH+rzUfAWgdEQQnxNCDEmhLhWCHG8EGK1EOLLXR3ZIkRNexpCR+ocKYgioYXkdnQTg28G05N47YW34Ie3JUMuK7Xmnobuw+yHOGn1EADgV3fvSUyGaYrKzNMotKGnsjwN8zPteoWPTNba9rfIAv/2rcKM6y2Kx3EEzYFKY5mTA1M1Xdp9Nv00XIf0hF/1w4boqURzqFqgxHIOuZWv+2HUUI6i5LWeYDn0mg0egERIqwnz9ZLnyEq0QRyinBbC62GESj3EhDFR8qLND6KEd5F4rPpua6PRQE+1LoqRS9MIk0ajxPSUFsJJ5w6xZ8EeUMlLaxqp6CnlpfhG2fYsIbzqh7oU/6Kgp4hoKxF9l4jeQkSnd3VEixi6AX0oEiujIwGT1UCLzq3aRZrgm0FrFpHADVsO4O7dybau0/VQ36jpSrd88deCSBur6x88gNGpmM9vFrHiGCtmIC5XfWjax55DM4lt5eOoYdU5WPZahg1fcOUDOO/bnbeG4Ru3VQ+Rdp4GgExdY2SyhnXKaHSap8FGg6mlGT9MeAgcHcXYP1mDn4iektv6YdTS08iiOPk6GTaMRpp+YTD9ZO6Xrw/P0DTYqPF5MOt26Uk0jBKra9NoeI4MrU3nafCKvj9DqDfBGsjV9+3Twn0aaXqKcy+magY9xZ6Gei/2NJrTUw7FAQh1owAin/upmp8QzoMoNrrdRN69nwbgy5Clyj+ljMjPujesxYW7do3jgiseMDQNoTSNI8fTGDPCVfNGUMXcqbzhJqo+ItHoTUzXA6xQ9XRmUnTNjOFpxLyySKzgmnkaXip6iumpZ/3H1Xj6v1/d8FmtabhJeqKVp3Foxs+kiNqBz2H6+5popmkA0OfLNJ6AnGim6yHWLZVRVp22ew1U7Sm2VTOGQQfkJGoaopHJmhxnlqeR1jQSQniG0aiHGCi6TRPZTJieBu+XzylnUBdcwlQtTNxnnBtFFE+e9ZSnwat6QGoCfQW3QdNwMzSNLPB1+o0btuN/rtmauY15Py3pL2jKq2IYjWIDPSUNa6MQHht7pmZZ09C1p/zY0+DFR4KeWiRGI4QUw0PIft771d9RgV/dvRefu+pBPQH6KrpkNvTUH3aO4/xLNx/2LOWk0chHT/H3Y9qBV8Vpo1OphYmL1wRPqrUgQjUIG+L9gUZNw6xym6anokgkkprS/ZG59hRjsEXbUEDegHnPhwk+N608jXrQvPXmigE5mY6m6Kn9E3GPa6BzeiqKpC7hNvE00gUL909WE3kanJvhh8k8DSBZ8iKLnqrUAgyUvISGctoxQ5njNCdr3q/J4wPQLV9Nz5g78y3pK8TCcEoIT+gbroNywdEecNrTaOYJMTjMdaYe6sq5adSN62dpX6xpTGlNw9GeUKmtEB7TUzxG1jR05z7taQTaKNeCSNNTi8VoTAD4LIBtAM4VQjxdCPH33RvW4gJPEFy1M1T0VKc3NAC88gs34Ku/29ZRvsR8wBSR8x7bNy5OIG5MYxqGMBKY8Q2jkdo336xVP0TND7FxZb8uFMcTW4OnYfDO5mpLiGQWrDy++ThZewpQnkYLeqoWhC2L8DUDf6YV1Sc9jTb0VMrT4Igi9jQ6LY0uC/7F9FQ1ZTTSBQv3T9QSlF4ypyO573aexlQtwGDJS0xapx4znDnOgYSmkWwDywZsoOihUg9SnoakJZf1FzU95adowIRn5RLKBVcvXszSHkBsvEwjZp4D3r4ahE2DHpKaRkxPZXsaaXoq29Oo+WHKaIiGgoXsaRDJ1/g3KXrZ19x8Ia/R+BvIHhr/COAHRPQRIjqre8NaXNBGQ8VFy+ipaE70VCtaoxsws6nzaBpcIRWIL/5YSI8/zyvtFU08jarpafgRBkse1qisaL6R0iGgOrmPSN84x6qkuEOpsFvT4IRCZGsarTyNIOood4WR1jSyPm/mP6TBjaJGU5rGSNpozKaMiCGE+6FIUCCO6hHOE+PIVC2hvZjjTYfcnrh6MLGyTaNSC9BfchMhvqesbeJpmJqGpqc4zDSOMEp7GttHp+E6hFWDJdSV1hFGAkW3USMBZJe+csHVixle6PEx2FiwhsLHZfBEPVNvYTRUr29ACuF9qRIonhsXLCyr/4PtQm6DOICh4JHK04g9Kz+MsG+iiqGyJ4V+I+R2UXgaQohfCCH+BcDfA/gVgNcD+GUXx7WowD8GR+9wW0g/7GyyMRsCTbegNbqBMaNuU562rCaXzlEgTE+ZhoGpq+WKbmmgp4xQx0pdNp1Zt1QaDZ6oRGr+iSIBUiIgUxXHLZeJeuMzyUk2XV47rWkMKU2j2e/Ek1+nQQ1peuq5n7oGb/3e7xPbpA1YGisHSw1GQ3saTE/NsoyIOeEnNQ3ZuY/P2/6JWqLdq/m5tBB+/v96LL70t08CkH2+pKbhJfo5cLvVNExPQwvhRsQQIA1LpRYm6MOHRqawcrAoEwKNiTSpYyTDb8sFI3rKKFcOGHkTGUaj6Dqxp+HLkjoNOUWq9MjTj1+BU9cO4dhlfdrTmMwSwtXxXvbYY/D2s05quD54XGZwgs7TMMqIXHDFA9hzqIqXP26dFvoXldEgop+o3tyfA9AP4HUAlnVzYIsJzBUyPcV5GkJ0Ft1y+8MH9ePpFqvfbqBTT8OkbGJPQ35/c5XJBoWF3fS+TdH80Ixsb7lWTYhFdXOl6anAyEbmG+dRymiki0QmhPAwmacByBWdEM3zKdjV71TXYC9zph5irFLHjoPTuPSuPcnv0cZoLB8o4kCqs+D+ySqKrqObNnWc3BcmPQ0gufJ2XUr8tvsnqw3tXvW2GV4Sr+j9Jp7GYMlLTODNkNA0vKSmYXoaU7Ugcb1NVCWP7zmkqhUoSialYzA8h9pET0kDYXoarDcMlOJckqrqXZEOAuHjP/X4Fbjsnc9Bf9HTGo2mpwxtjj2SM9YvwbteeHLDeUl2WXT09xEivlbHp318+bqH8KonrcdLHnsMyp6Lmh/pZMduG4287V7/HcAdqiHTUQeeIMaNZvNxpzgBr7WWprFp+5h+3CoprBsYmzY1jRyeRiqWX+5D0VOGN8HvMT2VFobN5xMzPsoFRxft4xupQdMw6h7xNo9aofowpDKwTaPNdEVSCJcr3Skl0qbBE2inugZPFlU/xLUPyJLtPDn7YYTv3PwwKrUwEX6axqlrh/Dj23dhZLKmaR9+7DoEos6T+7ifhkkRJYwGUWLiYyNslkZnpIVwIF7RNwu5HSh5egJ/5okrmo7T/C14ktXRU4amsW+i2kCFrR4qK6MRGTx+MjdDj9d1VPRUa03DDAFmT2Ow7Ont42TOIDMh0DRaJc8BUbwwzNI0msHMjeHzwNczsxOsMT7zhJXyeEroZ0O+KKrcQmaAv4+IvgIARHQSER01/TT4x5jQHcNiUaqTkMgHVZVOYCGMRr0htLEVTKGTQ27HMjwNzoHgZLUGTcN4fmjGR9lzdU8JNkINeRphbDQ4b4A9jSyjke5BkBDCy8l+1Wnwd+k0MIGNatUPcfV9MpDwMYq/v/mhUXzkks24f99ky1Xfm571aPhhhAuv36ZfMw1IwSgLnxe6YGGiQm08UXkOJejJvRNsNOIqt4xsTyM2jGlU6iEGSi4818Fv3vkcXHjuk5uO0/Q0eHw6TyMRPdUYqLBqsKQS3gyjkUjuk+Mmkt+hbITcxp5GMiOcFxeA4WkUPYSRpKDZaFRqIQ5Mxd4hG08zsoyIUPbidrUJTaON0Uj3cwcMGjd1KfB1UvYWIT0F4BsA6gCeoZ7vBvCxroxoESKtaQQGJ5zlpjfDwUody/rlxTmdo+T4fGJ82seaJc1FzDSy6KmxDE2Di6atHGKjkZ0RDihRtuBi7ZLktmmemHl5IL5hNq6QRsM0vIBcWevEQnWstKYByNVZEEa4d89E4vM8UXVqNDjMcsYPcZ1qDsUT/HajB3irVd/xqwbxkjOOwfdueVi/tn8iNhqyuGDnQrhZRgRAQ8gtn6eS52hjGudptDYahRYLj0ot0FrFKWuHWk6QiYxwHXKb8jRKrqKnkguR1cMlFBQ9ZWaRp8cY6whOQlszv9tj1g7jBaeuxpOOi3ty/PkT1uHdLzwZw30FnY/Fl+iV9+7DUz9+lU4uzfI0+JjZyX2tp1zznLNhKzb5DC/USgUnUXtqsRiNE4QQn4QqXCiEmAbQXR9oEaGeMhomb9/JSvBgd27ruQAAIABJREFUpa57PBxuT2OyFujcgDxtWU36gUs5jGVET/GNsbSvgIJLDSJ7OkqsXHCwdrgv8Vra04giod30J29cjhefvgbHrRjA+qV9iWz0iCNn1E3FxzJvGl0ttRrg0rv34GWf/10iIIEnKtNIvu7rt+LzVz2YcVZimOWwmbbkc7ZjNPaG2hWPO2XtECaqgY6SGpmqYbUyGq6aGDtByAULm2gankP69zNLdKfzNNKP0/tKexpRJDBdDzMpwCyY0VNpTYNX2DpPo4GeKunchSx6ShsNQ+yONY0khbOkv4Cvv/7JWLckviZPXjOEt511EgqqInC1Hh//3j0TCCOBfRPyGtKaipc2Gq6+rj2jNHqpjadhRq+l6SkgaVQaPQ0uI7I4jEadiPoACAAgohMANBbN6VH4KU3DvIg7SfAbrdR0P4XDHXJbDyLtds/W09Df3zA6bDQGy17i5mSkjUi54OIpj16Of3jeCXj7WScBaC2EP+aYYXz5tWei6Dk4ac1gYlxBJBCK+IZNC6lAzE9P1XzsPVRFJJJ9LGJPIx7n5kcmdMOfZuAbdJ9hgPhaeDjhabS+xbgiKoeETszIngz82bkWLATQUEaET/eyftNoyG2SxQ0b96/pqXSCp1pYDOY1GoXGENlaymsYVH3C03k2q4ZKuh5T+jPm/jxDR+CFHv9uaS/K1IDinBUHfiQSutwjysNgpoCvx3Rmt+lluQ5hqOxhsORh/dLkgikNafB5TEmPCYhpPYdio18qOLKfRkYkWTfQ1miQbDv2JQCXAdhARN8FcBWAf+3qyBYR0qWIzQkmb67GTF2W0WBPI09HvPlEPQj1Dd2JplFwScebH1SeRjVD0xgseQnumDFTTz4vey5ch/CePzsVG1STJDYaVT/E+392N/YcqjbkCACNne7CSHaY056G3ygEDhmaBnuKZiRNuggcICeEdpM1bz+iNIFywdGv7TiYj54CgLKaBGbqkrsPIqENSVZF2iz81Zdvwkcv2QyANQ0n2d+7yUrV9DR4VW6e92whXO4rfd2z52x6EK3guY6eaNP0YiyEy32xh8vX76qhsqKn4h4TpSxPgyOWPDeR0wE0eoBehpbA4cnmQmiPKrPPi756hqcDJIV11lWuf8/z8fLHr8t1bsxxmNcQ03/LB0r6tyx57mGlp9ouC4QQgoj+BcDzADwNkpZ6hxDiQFdHtojAFyav0MxJN29IJJeL4G5y3aKnuMF8miaoh5FqAOPkoqf4AlzaX9R5DuPTdRBx7S0Z2z9ZDVB0ZQKVGQ/PSEdTmRmwPCnxeb34D4/ge7fsABCX0TBx4uqk0WBtiScdPpZ5Aw8amoamFzMipvg1Fj3b0UJcyoHzKlYOlnTnQtNopJswpaE9DT8uscI9KAo56albtx3ErdsO4v+8/DRJ7TloSk+ZRmPZQKOn0T7klump5Li0x5nT0wAk/VQL6pqyiSu7qsQ7tS/OZVk+IK9Fk57K0jQ4I7qgz2dslNKaBsP0sMzs+CBs5mkoo6E1jaSxXGX0Aed9LzU8u1bwHELd+JxJN7FRNmt6lQvyns7qSd8N5DVJvwdwvBDiUiHEL48mgwE0UlBJTSOfp8GJcWuHy3Coe/TUu390J/7iizc2ZBL7gdBlovN4GrzNsv4CKvUAlbqcSFkXqWrvy4+zW71GeiptoEy3nRd3vPp7+GCsBWStck9ak+FpCKHzPWoZ9JSpaaQ1qYTHqENopejZLhOb6RmehFYMllALIhyYqmO6Hmrj2E7TYKMxXQ/15MSvea7TUR4QT4qe4zSnp4zzusL0NHJGT/F2jfXHpNEYaFIKPQtMtbAnFGeEy2OwARozjAYQ01MyL6fRu+QJnA122TDMoW5U1Jye4sdccsU0GmzYZtJGI+VpmL3gs85jK5jlQ8z/QHx+Vw4mW8Zy9FTRdRI96buBvEbjqQBuUtVt7yKiu4norm4ObDEh7YpXZ0FP8WppxWARA0Wva57GXbvHcd/eSfzf23clXueibuWC21GextL+Iiq1QN+47AHwBD1VDfTN3V90G75XHk+D6SmzLWvWjXbiqmRJCg59jumpRqPBhjLpaTRGTPFrzFW3y8RO/+6rBouoBxF2KMP3J8fJ3NdW/TaAeBU844f62DyZci5CXtzzyCHZcY9SyX0mPWVMjglNI2f0FFHcSc4EU5h56SkgngAbo6fikFvAuHcGihhW2hm3QM2atNmAcEQYZ2jPmJ5GygNMJgTG50IK4Y2/odY0wkbvFpARXox0Zn07aHqKv4exb742TE+DF4J+0LzW2Xwir9F4MYATALwAwMsBnK3+HxVo6WnkDNWMV0sl9BXdroTcVv1QT7z/lYr+keWjXRmel5ERftv2g3jjRbfFNfvV91o1WIIfCjwyLvfL2dzsaUwaRmOw3FiGfMYPMVyOV5+mp0HaaMjnO01aJ2PCWtJf0GGGgPQ0QiH0SjWOnkp+dkjVn5pI0VPmeeDX2Oi1m6zTuQMrB0vww0hTU0/ZKBPbDkw19sswwU2AZgxPo1yIV8rt6E/TI7pjx7j0NNxUGZFU9BRj+UCcm5CZp9Fksiu4lLjuN20/iJseGgXQGT3FBqah9pTDnobSNNS984onrsfrnr4xsc10RsRcwUtOuv1G61i+vgsNmoZJT8WeRhCJzLI7nGjH11BaCF9tTOpZ+lwrmJqKOR4gNqQm/WV6Gs2qKs8nch1BCPFw1t9cDkxEG4jot0S0mYjuIaJ3qNeXE9EVRPSg+r9MvU5E9Hki2qK8nSfN5fidID1BmCv1vCGRBw0XO2tFPh94aKQCIYBT1gzhkUPVxMRXDyK16nYz6anbth/E1fft1xMrf5ZXTA+ppLq0pzFZC7TYPFQqJJrdA9KQmVyu2amM7yUhBIQQ2Dpi0FNNbrSPvuJ0/NWZxwKQmkaU4WmkQw650m1a0zB/x+l6iItu2Bbn4oQCV927D+d89ebMulVpo7JysIRIxP0xTl8nq7umS5+nwcllVT/URi/2NJy2Ho8ZlPCHneNxwcIc9NSyDHoqEXLb5DcoeE7C03r1l27SIcp5Q26B5p6Gq42GNGqjlTocAv788evwzy8+RY8BiANKzEm7mKJ12KMan6431zQSlXHj6KkwEg3BHEB7IXzVUKMmlxex0UgGCgDZnoYs/S7LiHRbBAfyexrdQADg3UKI0yAF9rcS0WkA3gvgKiHESZBRWu9V278EwEnq7zwAXzxcA00bhkTIbc6QyNFKHZ5DGC576O8SPbV1RIaJPmGDTFTiyCahqr/GmkbjsXnFxDcBT4prVfb2Q2rfnM3NN/hUNTYag+W4DPlYpY6/+crN2LK/okNIgWb0lBSUzXauzcS8lz72GDzteLmKZ0+jMSM8ZTSUBxRrGiGue2AEu8djOuz6Bw/gw5dsxjX3y+xuPxK4c+c4btw6mlkl11xIlDxH6zpsdLkqb7rJUhqsX8z4saehjYZLCKIIf9x9qGnBRVMb27J/Ki5Y2FQIjx8vz6CnTG6/maeRRU8xOvE02GA2ZISriY+vm/0T1Ya2qLq0hvptWoXc8n7Gpn3tuTVoGomkuniFH0RRZs8Uvn+zal8BSXqqUzTQU5mahklPucq4BV1v9QosoNEQQuwRQvxePZ4EcC+A9QBeAeCbarNvAnilevwKAN8SEjcDWEpExxyOsaYpqITRyElPHZyqY9lAEUSkPI35p6e2jkyBCHjchiUA4mxtXeqghRCejiji59rTGEl5GkFcB4cniiGjteoVm/fhpodGcWCqlugZnRDC1fUdCYEH9iX7dGcJ4QyzEmgUoaWmAciGPaOVuu4vPV0P8YaLbkuW71ClIR5RtZiCMIKvVqXjlaT3BCSNxpK+gj4mH2OjqpX1luee0PR7AIbRMEpva3rKIdy7ZwJn/9f1uGHLaObnqwmRNsz2NBIht/Fny0U3FuwzPI1mAm7BbR5M0a4TngkOqdW1p1Ih03zdVOphw0qet+GCma2S+0xPI4wiXUHZRHaehtI0NG0YHyMdPdWKnuoUjfRUvO8Ny/vgUDKSkK+hyWrQsGDqBhbS09Agoo0AngjgFgBrhBBcLnQvgDXq8XoAO42P7VKvpfd1HhFtIqJNIyMj8zK+tOhpRgTlpqem6zpapa9L9NTWkQqOXdanVyE8gZulDkoZEU5AY5IbryS598VDByogavQ0Jqs+hlT566GSh6l6gCgSWvsA0NRokCGEc4Zt0bhhm4FvIt1LwYsnXvl+8rMblvXjwX2Tms8em64jjESiYi7Th/u00RB6QZAuxw4kr4nhvoKetCaqPkoq4GD7J16Gc576qKbfAwDKhhDeQE+5jj4vjxhekQn+vcoFR19TXqsqt4anUXAc/dtlNWFqRk+VvGRNLLOseEfRU+pzOiM8VXuKw7jNbfTY2dOoN3oaWpNwk0ZjbNpX0WVZUWHy81yvSo5DaRq6Z0xsCGZSyX2N9NRcPA0ev6KnjGS9E1cP4c4PvQhnrF+iX2OPbaLq9zw9BQAgokEAPwHwTiFEojCQkD55R3UUhBBfEUKcKYQ4c9WqVfMyxrQrbvLInYTccsjgQNHrSsjt1v1TOGHVoKaLOPPZvLDLhdaeRtrjWKMm/x0HpzFcjhvM1AKZkzBVCzQ1M1QuQAjJM5s/2qDRAtRcrblGnsaUGusqo4RGM/B7QRQhFGaeRjZVsGF5f8JIc2b7fiObm8VWLuDnR3Gy1Hiq8RPTfTxZDpc9TQtMVoOGCa4VTE9Dh9wa0VOMg9PZNBfz7Uv7ivqachyCqfOm+2noxy7pa4VfT+RpNBXCnYSHbUYidSL6sqfBE12c0d8Y4dXoaShNo9boafBjs/ZU0XOUpyEyry29qneSBjYMhT6vZjLkdBtNI02ndQI27IUMeqrgkjb0DL6GJmaC3jcaRFSANBjfFUL8VL28j2kn9Z97ke8GsMH4+LHqta6Cm6yYMKmJvCG3Y5W6Fh77i25XMsL3HJrBscv6dOMb7WkYF3bJczOjp+LchaSmsWqopBP6lg/ErSyrfqSyUEUiegqQlJVZaE+uGOXn+jLyNCJlfPh4QGujwTd4OiM8q4wIII2GCc4wNjUUfm3fROxpcLKU2SoXkOG4QkCXPV9ieBqTVb9tJVMTZUPT0FnVKqLKFGfHKtlGg1fnS1U+DYC2BQsZBbe1p9Fs/uFOcgy+djpNDzhj/RI8YcPSRO6HLAkf74i91EZPg6On5HdOVrlNGg0iwrL+AsaUEJ6OnDK3TedrcPSU51DCY2YD36xg4VwQR2815mlkRUexZ3poxu9tTUOVJ7kQwL1CiP803roYwLnq8bkAfmG8/joVRfU0AIcMGqtraEc/5c0In6oFemXK9NRFN2zTtMh8oKIKxg2lyoGbWbOyImZzeirdX6LsufpmWdpfMHofhHr/w+VY0+DjmufFXH03C7mdqsmMaD5Wq9h2U9NgIZyouRD+qJTRSHsOPAYgDpENwkiHs46nVvlsUNloDJuaxkzQkdEouA4KLmHGD2PuvJjk5AE0vU74M8N9Bf0dWjVhSoeW8m+XFXLbTFcyhXAh5KT61uefgK3nvzTHN47xiiesx8/f+ky9sq75UQN1xCJ2MyG8laZh7mtZfxFj0770NDImVpOSMl/j6Km+gqs9wL6Cm9A0zF7284G4LUCjp5FFrR1N9NQzAbwWwAuI6A/q76UAPgHghUT0IIA/Vc8B2Wb2IQBbAHwVsl9519HOk8hLT1X9UE+cAyUPByt1fPiSzbjsj3sByD4R6c5vnYBLKgwUPb16nMygp/IK4XEXMNJRNsv6i3pCrPlRolghEEfOTFaDRCbzw6OV2GgkQm5jj2Gq5mOg5OpVUyeahqN6ic9k0BsAdI0rRtoIZMGPRFN6is/Rkj6mpwp6pTlZ8xMUXB70FVwlhAeJhj3mORhrSk+FaizxKth1mudpmK97rmPQU3zMeN95hHA/lF5XX8HtOB8hPb5KrZFeWdrXjp4K4FByrFmZ1Ev7Cxifrstchix6KoMKkpqGjJ4qFVxNpx2zpJygp5p5GSelyt7kRSFFTzWjFxlmVYHDYTTyq1bzDCHE9WheXv2sjO0FgLd2dVAZaGcU8hqNWhBlUjSsOzz/09cAAF72uJfNYpRGwbii2+Bp1FJCeB5Nww8jtYInSasdqGBZf1FP/rUg1OG1HE9vGiszv+CkNUM6q7eUCLmV/4UQqNRCDJY9vWrKq2lERrQQT6Dpm3j5QBEDRVevSsdSRqDgNtZ4CoxieM2MBtOASXoq0BNdXvQVZXACkaz+yh6YOQEcrNRx754JDJa8BN3G+tpSw2g0COFNJp2CQxgqMT2VP0+j6MW9IqpaiJ89h68XG7UgYfwA09NI/qY8yU/XmkdWpbWRB/dPNdU0Clkhxw4hElL07is6uibYMUvL2D0W99No1u/ikrc9Kzd9bUJ7PWz8PNPQN47d7E3SrtbZfGDBhfDFjraZwTkuCiFkCWcuzGaGJU5W/URWb9RBrSETzO0OlDzd4rJpyG1W9JTfSE/xZLNMexoFo/dBhMma3P9Qip6Smob8Hl/62z/Bh15+mm6Bad78Zp6GzCwvxKWfc2gagaKnXIfgOfHqN73aIiI90S5V3LaJ4ZSwyPvWbX5T0VP1BnoqbnE6WQ1m52koeqpsXBtJT8PH275/Bz74iz8mPsv0lJkL47QMuU1rGkn9xKyVlSdPQzd0mgejIceUPOYS9b3SE3NR01ON3gmXOvESnkZRJ/dl1QPzUjqCfCxfm6oF6DM8jbXDfUaeRqPRYpQLbua11Q5m7Ssgu8SJCS5FA3S/lwawgJ7GkQI/iBubZBkIfr8VeDLjCbPfuEkmqwH+sHM8sW1fB7HuDF37R312qOxhYqYxLLDUNnoqDrllbYDLTSwbMOgpQ9Mw8zT4O/GFftoxwygXXG2wTJGTH0ZCoFILMFhy9aqpVaVOnvikEC6NTxY9YWLD8n48uH8KKwaKicxzHvdoSjPwI1PTaEZPNXoaYSQ6XnWXFT0FJBcU5qpxZLKGqh/q5EEGT9pLUp6G48SrbdMAm4bAMyJx4tLo8b5b0VM6n6dJGY1O4Doks/ZrQcOkyAuWpsl99TBzoiy4lPI0Chiflgu0Vh0JCwlPw1wIuHjuKatwaEaGmM8YyX3zPVGnM8KzGjOZ6CuaRre3NY0jAlyQbFjx1+kLLk+THL6x9GQikiLxNffH+SRZ2ad5oD2NopFoV8sIufVcBKq0eWKMaU0jw9NY2l+QExIpT0MZjaGUpjFVjaOnWHQsGRFUDLNgIScJMnXXKrmPb4wgYk8jvYJu/OyTHrUMJ64abBgDUXbpC1lBlekpaVB++vtd+OPuQ3rxcNyKfpQ8ByeuHkzcrJ2GW/YVXZ2nYVKXZpTPVC1AEAnsn6xhdMrsPKiMhpHdbRYsTE9o6SS2tUtKKLiUSQs2FcKNPI3aPNBTQHztpCdFpt1KhezvUakFmSv94b5CIjR1WX8RQSQwPuNnTrxpSgiIJ+tKXRqNZ5+0Cp/6y8fr6EchZLvZuRjMLKQzwtlzkmPK8DTMa+ZoSe5bzKgrT4IvwHTGax56qmokYAHJUM/Jqo/bHx7Tz2drNNJVRofKhezkPh39lF1Pi79PPYzi2j0qVHh5v8xo50q5PJlybamBogeipKbBN15JGSwTZj+NSi3AQMkzhPDm3zX2NGQ/DdfwNFiHSeMtzz0el73z2Q03OHtAaQSRSU/J3+tdP7oTZ//X9dq7XLekD5s/+mf4k+OWJyau9ATXDiyEz/hhwsvMivIBgPv3xtnznGSZ8DTcOE8jPaGahsBzCP/ricfi0rc/W1/f7arcAklPozoPngYQLzwahHDWNFKvFw1PI2t1fdEbnpLIxuf9HJiqZQvhTaKnALkIMifmvqJs5VoLopaaxmyRNZZ0wqIJc046HFVuLT3VAt+/dYfmLjk0caAYl8oA8tFTmvdVk+brnrERM36IG7aMYrIaJDj22Sb9zfiNngaXtDD7KPMYakEEI8E1ztMw2mLyzbBcexpMFcj2kmPTdbhOHLbpOITBoqwouypVGK7kuQ1cv1lGhAsfmsX6moFvJo7wchwZ4TUyWWvqnrMhSXsBJc9t6hnw73YoRU/duUvSiUUv7lthThxp49gOfQUXh2Z8CKRWjU0m7Xv3TuIZJ64EIBcZBZc03w5IWkV7GmkBOTUpekQ4eU1ccr5dEybeJxvU+fI00kmGjCV9cUtTE/w7T9WCRPUBxilrk2X02Vs+MFlPFGpkkIrAS+ZEJDUNBl+jM/VQ13SbT8SehhFG7DlAPczMMWG9UIj/196ZR9lR3Xf++6uqt/TyelN3q1tqLS2pQYtBIAlhNhkLIpaQMPGQBDtmSGwP42PIGBN7xhx7HMcnJ06cZSaJPU48gYR47AFPZjxwzjgxWPHJJHEwCIeA2YwMAkmWBNpaS/frt935o+6tulWvql7VW/r16/59ztHpp3r16tV9VXV/97fPj0+DNY0Ifv/xV/DQ9w4ACNc04kRPqVW9mjT7sil84oaNGO5NS6FRdEp/1Oq/8PgLRwNj9pWmodpM9mVTVY7wtGU45++3jTvmKaVplFxb8cbxHLrTJiaHe+Q4bE3j5PkiBqX2oVD1p/yaxjVTw7h+03LoKFt7RWkaacuxz0Y6wk0V12+P2STCBtmgqZZN1y+4VLYwUD1JqgXD6dmiJ7flL+Q94SmSp71O7AjXzFNen4Z9HFU0sjttYrg3jZePuIUT8sUysj7Bp2te/gnN2W4GN+uJo2mkTbfPRzN8GoD7fPnzHZSGUMvMVovBnmhNQx3Tk9xnuIJJv6bqGs0Uy60xT2las8JJvgzQJIjIEWqLOuS2E8gXK8gX7QlarYT8TWbiCA0nacu3As1lUziTP4tT5wvYvKIPx8/NRQqN2UIZd331GWwcy+Fv7t3lec9t4FNdPFAPuV03Yk/8P377HNZKIWDvo/oDKEe4cEL9Lp4YwIufu9HZV2kahVLJ05MBcCvdln2axp1Xrq0ajzKVlMoVzBTskFvHPBWhZbuahj0uwyAnJr5W9FmwpmE/aMtzGadgIeBqfeWKwFtnXD/C/rfsir9BpSuCvqMWXSkT+ULZznfQwyflOFcv68bRM3msXdaDoZ40XvaZp/TCg4A3T8M/2bq2++AfOMxpruMxTzXLp+GYp7zf6TjCfcf3ZIDHmLSVllwKCbkFbB9SKiB6Kl/0BqeoazRbKNmBKw2O3Y/fEQ5oWe4h567aLbAjvM3MFstOPLoKndMLshHFK1jo2H19K9DejIVjZ/IoVYRTPTbKp6EmSX3SUDiahkdoeB3hGctwut+piU/hRE+Vqx3hfhxNY6bg6f6mxnR2TvdphN9i6v7X+0u7Dtnwz6mHXo3LNMip+hlUxlxHXQM1H2YsV9MYH/AmAerXQtWk0lep+goz1SRNo0v7rJrYVUb72uFurB/pwYETbvRXvmi3ltUFlZ6nkfYJsKDMZx19e9glsB3hXp9G0jH7USZO/4Qepml4tbzadnx/HksQpk/T0M9FD53t1pLpzswWnQVls/CH3AK6TyP8mQS8OR2tgoVGCMVyxZPVrKKn9EibrpQZ0zwVvBrLZS1H6KyQE1aUTyPqu5Sm0eWE3KaQL1acTHHAftj7u1MYzWXwqiY0VBQIoGeEV0JXLY5PQyvC6I4pFahpBKE0DRUY0JuxnAcyasFk+YUGEaZGc+Ef8J074FYszWgTrhLc6pxnCm7Zd1VlVmlqQLimkXTVrfI0Zgolb6KWnLVXD3XDIGByuAcTg904qzWUcsxTPk2jlnkq7NrGLY1ul6UXzr3dSIE+AFror998aOLud6/HDVvGPNv1yT2OpuEPFAjCMry5Hfp+fdrnHfNUoYzp2WJVQmKjBPU2CaoNpqPOKcjn0WxYaITgNxNtWz2IrRP9jl0fiC80nNVYgHlKsVIKjXxADoVCr+fkD5k9L+PV1QOk50z4K3FOLe/1CA1vr2w3IzwqaWm2UMapmWqnYq/yaYQ0u9FR85Pyr9jRU8ErTh3Hp1FyzVNrh7tD99dRk9uynjQsg5CxTGecSnCrVW++WHFs4W/Lirjrht3SEM3yadjtOis4Xyh7BI767YZ7M3jgzsvwK1dNYqUsiXLo1Iw8RzviStd6TMNtwuSPOqolNOK0e1W/V7FSaZqmERZyCwCfuGEjLpro92wLqjUVhWUabp2tkIk1ZVJg9BTgFRpdmiP8dAuERlD4b1AeiY4ymbF5qo34zUQXjuXw6D1XY9DThS6u0FBZs96fW1drx/ul0Iipabyp9dMG7A5mur9FL+nhr8Q5NZrD/mNnnW5wutAIytPws2KgC2+enMGpmaKn+xsAWa6jFNrsRkdNbE6SYMIyIq6mEX+lqybXrrSJvq6UJ+RWaRr6JKDMb6pJU5imoT/M9eRpALbvJMgR3pu18O6NoxjuzWBCCg1VxmJWahq6sLEz5MOip6pXsTq6oAgtIyLPq1gWjg+scU2jurJvFH3ZFLZKQRJlAtVRC5ywe8vyCQ3LY55yn1W1sDk1U0ChVPEIlGaQCjJPhQRrKJRZk81TbcRfPtxVD92frCttOmGfUYQ7wjWhMVDbp6ELDX9W8/lC2eNv6dFU6EKpAoPcB3LDaC/OF8o4Ip2+emSQt/ZU8O2xdlkPjp7Jo1wRVZqGZRoolUVosxsdJTRU/a1ePU8jIrnP7whXD9IlqwawXpvUg1CTa3fart6rC41Vg90wDfI00FEC5PhZOyBi/YiraehCVU/AqqeMSNBrNU69ydHEoK1RHTo1izdPzCBfrEgTW4gjvMo8Zf8NNU8Z5GiAtTSNQqniaMaNahr+zPQ4fODqSQDAk68FdzX0o5zhYfelrqkD3mddX0io51Yt3JqvaRhV56n8NmHmJyXIOOS2jfjNU07fYe1CdqVMnMsXsfelY5HH8ofcKnShocxTUUJDLwLod2Tb9nB3wtGT+Pyx5MpprI6hC8iCViI9zDw1qU3M/ugpVZcorDCz/VEsAAAduUlEQVScjnr7jFaOpLsOR7iaIL/5kSux99eujfxOp5RL2sQtF49j98ZRZ9tYfxZ/9eErcPtlq539/ZqGPvZq56x9Hol9Gp7InOoyIvp9Mtht1+f6xr6D2PW738WzB0+jK2VWOcIB+3fymzOCJiQ/SlhE+TQAe2Hhz0GqlyjzVBg3X2R3e75majjW/spKEDauX/+ZLZ6EQI+moQmGZb32PaFaIDdbaAQ3XzJgRGju8xlyy0IjhHyopuEVGj948zQ++NA+HDjuXfl7jxVc1M2JTTfIydOI6wj/0bGzmJ4t4h/3HwdgR0/pNa2cJD4ZS+7tM2yvVg9L526QeWomoC+zYnKZO3H6o6dUi8ywwnA6Kk/gjOYId81T4Z9TY1EakprkgvIO/Chhmk2Z+LU9F+KOK9Y64+zJWLh09aBnglATzXHp09CjcKqK6Mn/J51AddOHXrxPN08piAgrB7o8EXSqtpdCTSwmUXX0FEVH4eifD5ug1KRWKNmNuFIm1Vwg1KIvoXnKPg8Dz312D/7L7ZfE2l/dq2GCadcFI542qmHRUxnLRF/Wwo/fthddrfNpeB3hUc+Tem5YaLQR/4o/qNyy7qMoi3Azlb9goUKtIAd70jANsqOS5ET4f/75MN444RVEKtIqbRl46vWT+OO9r+KOB76Ps/kiZgolT1aw+q5C2X6w9e9ensvAIOCIIzS85qljZ/J46+wcNo4FRyTpTucqoSHNU0k0Db3wYdo0kDaNyJtffW7Op2nEQU3oHq1MblOJkUFRM0rT0KObQoVGQlPNtReO4gu3XYzP3LIZ120adbar6+n3G034+oNkUwYMQ69PpCb98DyNqDDVoNavOuo3mJ4tOtFbjVKPeQqwJ/O4QlqF78b1geiahl8wDOcyLdQ0qheoKdOI1MJcTaP1Pg1O7gshzDyl1HuDvEKgEBH1NCd7JVQLDftmU5NCViZ55YtlfOwbz+Lnt0/gC7dtdfZXEVO7pkbwnZeO4a9+cAgVARydzuP8XBkrBtzJRZ3vXLFS5dS2TAPL+7I4fFr5NLyaxlOvnwQA7JwcChxPLpvCcG8ax89Vh9ymTLIrxFaCm93oqIdC+TR6MhaICF9836XYvKIv9HOq5IMechsX1zzl3vq7N43i+Lk5jEhtT7cbZywDPWnTKRLoqQ3lG5/TkzrhJJpNmfiFHauqtt980TjG+rMY7fOWyVB+DYWaMDKyvIfyFdmahs8RXiPeX30OCM/T2LZmAADwD/uPy5L/ja89c06eRuvWsYM1fBp+9Ovrz8UY7mmd0AiKcEtbFHneahHU7JImQbCmEYJfaKR8tmDL8K6Gg8qNO8eSK32/+USZIlRYp4rXP3RqBkIA+7RChoCrabzrwhEAbsnuI9N5W9PIVK+eg3wagB0pdGR6FiXNLp2VZdOfev0ketImNo+HT9xrpYmqyhFuGBDCbYMZhZrczuVLHifkni1jVROjH9Mg5zdPYhpRE5w++a8f6cX9N29yro/fLNCbtZxWql0pM/TBVNsbdQorsikTV66vttevH+mBaRB+arNdlkWZPdVf1xeS8kT7Ae5vHjUBGTU0jfH+Lmwa78PfvvyW7EjZuKYRlhHeTGr5NPzo94HfTzWcc+/75udpBERP+fqD+JlP8xRrGiHo5im9P4Hev1cXLFGaRtiD5QgNuQKyM4MrTlTGa2+fx4lzc1gmV8DKp7FpLIeRXMbJHTg6ncf5QtmzetY77BUCGsWMD3ThxZ+cwR0PPIWfTNtmqr5sCoVSBU8fOIltawYjb9K1wz147tC0xyQGuA9aPqDfsx81J81qrXDjopeySGKeUlpAVOkHfeKyTEMmdNo1i9KWgb33vctTaVbhRk81t6yEn9t3rsZVG4bx5Gsn8MSLx3BKdUX0BWt8/d9e7tw7iqDGPn78PaqD2L1xBH/yd6/Z0WdN1DRa2XluoIZPw0+UGWtY+12bHXIbVEbE9mnEMU+xptE29IiioMqXlkGeXAndLxB0rKDVp6oQq6Ix7CSvMg6enHX20cumq94dlmngxi1j2LrKNhMcmc5jZs7n09CjpwIioVb02y0rv//6Cbxxwh5HLmvh5EwBLx89i8vWBpumFB+6ZhK/9Z6LqrSnlCM0yqGlvRVq1TtXrCTuA2DWa55KudFTYXhr/pAj3NVqbtVQN67fvLzqc64jvLWPVTZlYmp5DmuktveGvA/V2NTvum6kt2oVXKv2lL5PlDB+94WjKFcE/v7V403xaagky7j+hnpQi7O4mkbUfkpo5DJWw0EAfvz9NADgZ7euwAdliHEQTnVo9mm0j7wmBLzdvOQqzPQKjUhNo1QOXX1+8X3btOqxBvLFMt48OYOMZZt5nnnjFPbIEgrKPJUyCZ+7dQsqArj8t/biJ6dnMVMMjp4qlOxe136H6Hh/V1UvkL6ulJP/sXoo2jy0cawPG8eqzVfqoc+XKjUnADW5FWQ/8iRYBml5GvE/p36XqO6IfvOUyn+pVZhuvjQNxRbp99m90Xaeq7FF/e61MsIBLeQ2QhjrPqdmmeM+c8tmXCIXQq0gsSM84p5UQqPZWgYQXOV21wUj2HXBSOhn1D3H7V7biB76qq/S9RaMdka4t5JsEPkI84t+I6hmPAdPzmD1UDf6ulJ4+sBJ531lnkrJstYm2b6J10+chxAIjJ6yzVMBmsZAdQ8CvazJsM+sERePphEzegpI7sCzTHK0u6guf36cjPBI85Q3aEDVG4vSTvTPzZfQWNabwQu/cYMzFjV5R2l4QROSnzjmqe60Jf1i+ab4NADg/e9c05TjhOEKjbjmqSihYWstzfZnAHrJkPjPRDeXEWk/Kk8jJ8NAFbq98ZsfuRIf33MBgBrRU6VKrIlEOcIPnprFqqFu7Fg7iOcPTzu+k6B6TmP9Wce+rsfz69FTc+VKVbz+Cl9FV8CbL6A7+pKgVOt8sRzDp+Fd0Sf6HsP1aSQxD6iHqzegxat7bP28CL0ZpZ1Er7Hmyzyl05OxHDOS+t4oDcEIsJdX72P/rfW76hpyJ+CYp2JqtVGRXMOyakArhMb1m5bj0z+9qaa2r6OqGPgDH1pBZ1ztNpCXTYj6u1Mee7u64exy3Dn83LYJALbQePTZw041VM+xYsayZ2WJbKVp7FgzhGJZ4LlD0wC8moZivD/rVDy9Yt0yZ7vq5e34NALMU4BXUDRD03B7ECTUNBIKDd2nkcQRvmk8hz/4ha249sLR0H38hQiVptFVY3Kcb03Dj1rxRxZ7jOHTUAKllq9ICY1maRqtpjttYuVAF1b0Vy+YglC/VZCGOdyjzFPNN9b0d6fwoWvWxUpWVVy2dhCPf2wXppbHq/bcCCw0QsgXy8ikDPRlU15zhe+hU5PdubkS7n3kWTz89MGAY8WLZe9KmTg6nce5uRImBruwfc0gADgmKtenoQsN+wHYPN6HdVpdJCK7gquKnvKvfpf1pHHjljHctWuds81p20rVSXtxUavtONFTRkOaRn2OcCLCe7ZNRJrDLF/0VK9jnoqeIDKW0ZTs6HpxzFMxwmmjhLT6eC1hrIRGvX3t5xsiwnc/fi3uiGkGU7dVT4BWqjTxVmga9UC+tr2thIVGCHZzGxO5rOWZ0Pz2XiUMpmeLELJtqR87IzuGppEynBajqkvb+pEe7JNCw42ech9mVZn1lq3jVcfLyLyLoDwNwyD8yR3bcdt2N6lMhT0OyQz1enAc4XE0DZ8ZKNH3mPXlacQ6tifUsTp6Koy0ZTQlkqhemqVp6P04olAVf49MV2vXC5W0ZcTWTNX95Q8rB+wFxMqBLk/3y6UCO8JDyMsw2WumhnFqxu2nbfmS/NSKTZmIZgJqR83J7mq10J2zqgbO1okBfO/HdhXPIE1jx9pBXD45hH8tzWQ6Gcu2+0eVOR/uTTsVcNWkU69pCtDzNMoxoqfc10k1DVPzaSRxhMdBF2Be81S0QMimDGRrCJZW4s/TCMLt3BcVYWXE0t4mZW+Rn5zO19izM1k91I3rNy3Hr+7eEPj+39x7TdtMke2EhUYI+WIZXSkT9+ye8my3HJ+G/dCpyfiMIzSqNY24WbNqUhruTWN5nz1x92YtJ/zX9Wm4D/TEYDce+XdXBB4vbRmheRrueAyM5DKYKZQdrakRoeFETyXICFfnmgTLIKc1bavi5AG7j0FvzOipD149iT2bxyL3aSVqAovsRUJxoqfCS4joqBpYU8t7a+zZmaRMA392547Q93Uf4FKChUYIs8Xg3Ap/ir8qFHc6StMoBSf3+VGr1KnRnOMES2uZz6r2VNw4c9enES40AGBM1qFSAlCFE9aDOrckZUSAxhzhzY5W8jfi6YlpntowmsOGmG1nW4ETPRVH06iRpxFH00iZBh69+6pEUT5M58NCI4SwiKegGPa0ZWjmqWBNI44aS7CPqfpdAPZKV02OenJfHFQv79liOXKVPNafxYnzBUew+EtPJMEKSIQMgxowT+m/QfM7p3nLN6iaXrXMU+1GaYpREz4RYffGUVwakURnaGVzarG1hcl4zMKk44QGEd0I4A8BmAD+TAjx2634nnyxUlXZEqj2aQD25Oz3aRw+PYu/fv4IPnTNOqdgYS1UT471vkY/pYpApSJQLNsRSXFD8TKWgdMzBVREcASI4sPvWo+j03mnKF9j5qnqSLMwPNFTdZQRUfQFXKdGMA27e50Q9oIgrnmq3dy4ZRyE2hP+g798WeT7VkxHOLM06ajoKSIyAXwJwE0ANgN4LxFtbsV3KZ+Gn5qaxpwtNB556k385v99CcdkW9Q4moaqWnrdJreukdNas1yxGxsliDLKWCZOymJ2Uclsl64exE0XjTvf1Zh5Kr6m4XWEJy0j4t66rbAt61WNXfPUwl5jXTTRj4/fcGHDxzFimqeYpcnCfgqq2QlgvxDiNQAgoocB3ArgxWZ/UZhJKShkMWMZOCH7bc8UbfPUftnVS1WijePTuH7zcrz++Zs9moSy9RfKlci+3UGkLQMnztlCI0hr8qO0oeFckzSNmAULgeQ+DXXsbMpoSQ8ByyQUyvZ41H2QixC8iwkzgXmKWXp0lKYBYCUAPXvukNzmQER3EdE+Itr39ttv1/1F+YjKtPZfLWtY8zsoTePVY7bQOCqFSZR5yHf+nv+rCbFYSi40MpaBs3NuV7xaXLJ6AO/duQo7ZFJhPXh9GtHnqg+1nugpoHURLE5ItWVgxUAXvvxL2/DTF1fnwixGTIM1DSacThMaNRFCfEUIsUMIsWNkJLwqZC1mQ8xTatL2+jTc/WYKZRTLFRyQrVpVH+6+Oic3j3mqLGIXWwO8PcnjCI2+bAqff8/FDU3ESXwaROQIjuR5GvYHm+3PUPiv800XjccW/J1O3OQ+ZmnSaULjMAC9L+aE3NZ0wsxTbnJUcI7BbLGMA8fPO5FOjtCoM8JHTV6qxHlSTUPR26LJ1Y/eKjXOxOPmDSQvWAi0UNNQPeHnsfjgQsEkipWnwSxNOu3WeBrAFBFNElEawO0AHmv2lwghZO/j+D4NnecPTzuvXU2jvknbMU85Po0kjnDNWZyZn0QkT92mGELDcPJRkpcRAVrTzwBwhdJ89CdYaBgGtbQZEtPZdJS+LYQoEdE9AL4NO+T2QSHEC83+HlVzJtCnYQb7NHRUVVoAOHyqMU1DTVpzpQpKlUpkUpYf3Ww2X5pGkjwNAA2bp+I4+OtBCef56E+w0FAVkhkmiI4SGgAghPgWgG+18jtUA6Ygn0ZQ03f/avSHh6cx3JvB8XNzTfBp2N9Tj3lKF2YqQa3V6OapJJpGUjOQ1WKfhmUaIGp+iZJO4Od3TODYmbl2nwazQOk4oTEfmCbhF3eswoVj1SUhgvI0/GasAyfOY9VQN87NFZ2Q23rr7qdN+9jFsqjbPJXWihG2miTRU4Cbq5G8jIi9f73CuBaWQUtSywCA3Rur+58zjIKFRgB92RR+57aLA99LBWSE+ye84+cK2L5mEAdPppAvziGbqn/SdqKnSvVET9mfnS/TFJAsTwOoX9NQwrN15iljSfozGKYW/FQkxJAlJryaRvXPOJLLOKaTRlbDanIslMt15GnYgipOuG2zSJIRDrg+jaSOcCfktlWOcJMSZd8zzFKBhUYdWAYFahr6ttFc1lkFNzKxuZqGqCu5D5hfoaELilg+DaPekNsWaxqGsWTNUwwTBT8VdWAnP7k/ndI0hnrcmk2juYyTQ9CIszbjqz2VxKehBM58mqeIyDnHOJqGUWeeRst9GiaxeYphAuCnog7ef/kavHujm22eMauFxkgu46zwG9I0pCNcRU8lC7mVCXDznMkcVAk4DMcRXrdPo1VCw2DzFMMEwI7wOvj0Ld7Cuip6almvrmlo5qlGfBoy5La+5D7p05hHTQOwJ/TZYtzoKbfZVBJcn0arzFNLN3qKYaJgodEE0o6m4VaHHe3TzFMNTGxprYxIKalPIzX/Pg0guD5XGPWap1pdsHD72kGM9WdbcmyG6WRYaDQBd3I2kbEMFMoVLOtJOyv8RjQNPeS2WBaJyjtk2uDTAPQ+6vHNU0n7aXSlLRgE9Lcoeuoj125oyXEZptNhodEElDaQsUz0ZCzkyLaJ9zUhesopWNiAeaptPo0Y50p15mnctn0Cm8Zy865FMcxSh5+4JqC0ga60ia6U6QiJZvg0POapSn1Vbue7pHei6Ck5nKQ+jf6uFK7cMJz43BiGaQz29DUBtaLvSpnIZS2Mys53vZnGfRqGYYewKk0jWbvX9vg0rDp8Gq3ovscwTPNhTaMJOJpGysRnfmazo1koYdFoLkHKNKRPI5kjfN1IL/797g2enuPzgeXU54ofPcWRSgzTGbDQaAJqRZ9Nm7hyvWsyuWztEO69fgo7J4caOn7aMlCUnfuS+DRMg3Dfngsb+u56SBI9RXU6whmGaQ8sNJqA0jSyPhNLNmXi3usvaPz4UtMoVZJFT7WLZNFT9eVpMAzTHvhJbQIZzRHeClKmgfOyx0cnrMhVJeBWtntlGKY98JPaBNYs68HUaC82jfe15PgZy8DMXAlAZ0yuKos9Uec+doQzTEfA5qkmMNSTxhP3vatlx09bBmakppGk9lS7SFZ7is1TDNNJ8JPaAaQtA+cLStPoAPNUHXkanTAuhmFYaHQEKdPA+Q4yT7maRryQ25RJTmY4wzALm4U/AzFImwZmlXkqQbvXdpEkesruv8G3IcN0Cvy0dgBpy8C5DtI0nDyNWD3CO2NMDMPY8NPaAaRM1xHeCROsmxEezxHOJUQYpnPgp7UDyFgGShUBIN7qvd0kqz3FkVMM00nw09oB6CvxTogyShI9pfcUZxhm4cNCowPQJ9VsqjVZ580kSfSUyY5whuko+GntAHRNY3K4p41nEo+keRosNBimc+CntQNIm7Z20ZM2Mda38PtWJ6lyaxqG0y6XYZiFD5cR6QBULaf1o70dkQSXJE/jo9dNoViutPqUGIZpEm1Z4hHR7xLRy0T0HBF9k4gGtPfuJ6L9RPQKEd2gbb9RbttPRJ9sx3m3i4xcua8f6W3zmcQjSZ7G9jWDeOe6Za0+JYZhmkS77AJPAHiHEOJiAD8CcD8AENFmALcD2ALgRgD/lYhMIjIBfAnATQA2A3iv3HdJUJThtquHutt8JvFIkqfBMExn0RahIYR4XAhRkv99EsCEfH0rgIeFEHNCiNcB7AewU/7bL4R4TQhRAPCw3HdJcPDkDIDOERquT4N9FQyz2FgIPo0PAHhEvl4JW4goDsltAHDQt/3y1p/awkAVK1w73BlC44Z3jCFfKmOwu7He6AzDLDxaJjSI6DsAxgLe+pQQ4lG5z6cAlAB8rYnfexeAuwBg9erVzTpsW/ncre/A/3zmEC5dNdjuU4nFyoEufOTaDe0+DYZhWkDLhIYQ4vqo94nolwHcAuA6IYSQmw8DWKXtNiG3IWK7/3u/AuArALBjxw4RtE+nsWqoG/f9VOO9xhmGYRqlXdFTNwL4DwB+Vggxo731GIDbiShDRJMApgA8BeBpAFNENElEadjO8sfm+7wZhmGWOu3yaXwRQAbAEzLv4EkhxIeFEC8Q0TcAvAjbbHW3EKIMAER0D4BvAzABPCiEeKE9p84wDLN0IdcytPjYsWOH2LdvX7tPg2EYpqMgomeEEDuC3uOYSIZhGCY2LDQYhmGY2LDQYBiGYWLDQoNhGIaJDQsNhmEYJjaLOnqKiN4G8EYDhxgGcLxJp7PQWUpjBZbWeHmsi5dWjXeNEGIk6I1FLTQahYj2hYWdLTaW0liBpTVeHuvipR3jZfMUwzAMExsWGgzDMExsWGhE85V2n8A8spTGCiyt8fJYFy/zPl72aTAMwzCxYU2DYRiGiQ0LDYZhGCY2LDQCIKIbiegVItpPRJ9s9/m0AiI6QETPE9GzRLRPbhsioieI6FX5tzNaBfogogeJ6C0i+qG2LXBsZPNH8lo/R0Tb2nfm9REy3s8S0WF5fZ8lopu19+6X432FiG5oz1nXBxGtIqLvEtGLRPQCEX1Ubl901zdirO29tkII/qf9g92v48cA1gFIA/gXAJvbfV4tGOcBAMO+bV8A8En5+pMAfqfd51nn2HYB2Abgh7XGBuBmAH8NgAC8E8D3233+TRrvZwF8PGDfzfKezgCYlPe62e4xJBjrOIBt8nUOwI/kmBbd9Y0Ya1uvLWsa1ewEsF8I8ZoQogDgYQC3tvmc5otbATwkXz8E4F+18VzqRgjx/wCc9G0OG9utAP5S2DwJYICIxufnTJtDyHjDuBXAw0KIOSHE6wD2w77nOwIhxBEhxA/k67MAXgKwEovw+kaMNYx5ubYsNKpZCeCg9v9DiL5QnYoA8DgRPUNEd8lty4UQR+TrowCWt+fUWkLY2Bbz9b5HmmQe1EyNi2a8RLQWwKUAvo9Ffn19YwXaeG1ZaCxdrhZCbANwE4C7iWiX/qaw9d1FGY+9mMem8WUA6wFcAuAIgN9v7+k0FyLqBfC/ANwrhDijv7fYrm/AWNt6bVloVHMYwCrt/xNy26JCCHFY/n0LwDdhq7HHlOou/77VvjNsOmFjW5TXWwhxTAhRFkJUAPw3uGaKjh8vEaVgT6JfE0L8b7l5UV7foLG2+9qy0KjmaQBTRDRJRGkAtwN4rM3n1FSIqIeIcuo1gD0Afgh7nHfK3e4E8Gh7zrAlhI3tMQD/RkbZvBPAtGbm6Fh8dvufg319AXu8txNRhogmAUwBeGq+z69eiIgAPADgJSHEH2hvLbrrGzbWtl/bdkcILMR/sCMufgQ7+uBT7T6fFoxvHewoi38B8IIaI4BlAPYCeBXAdwAMtftc6xzf/4Ctthdh23U/GDY22FE1X5LX+nkAO9p9/k0a71fleJ6Tk8m4tv+n5HhfAXBTu88/4Vivhm16eg7As/LfzYvx+kaMta3XlsuIMAzDMLFh8xTDMAwTGxYaDMMwTGxYaDAMwzCxYaHBMAzDxIaFBsMwDBMbFhoM00KI6HNEdH0TjnOuGefDMI3CIbcM0wEQ0TkhRG+7z4NhWNNgmIQQ0fuJ6CnZy+BPicgkonNE9J9l34O9RDQi9/0LIrpNvv5t2RvhOSL6PbltLRH9rdy2l4hWy+2TRPRPZPc8+U3f93+CiJ6Wn/mN+R4/s7RhocEwCSCiTQB+EcBVQohLAJQB/BKAHgD7hBBbAPwdgF/3fW4Z7JIPW4QQFwNQguCPATwkt30NwB/J7X8I4MtCiItgZ3ur4+yBXR5iJ+yCddv9xSYZppWw0GCYZFwHYDuAp4noWfn/dQAqAB6R+/x32CUgdKYB5AE8QETvATAjt18B4Ovy9Ve1z10FuzyI2q7YI//9M4AfANgIW4gwzLxgtfsEGKbDINiawf2ejUT/ybefx1kohCgR0U7YQuY2APcA2F3ju4IcjgTg80KIP0101gzTJFjTYJhk7AVwGxGNAk5v6jWwn6Xb5D7vA/AP+odkT4R+IcS3AHwMwFb51vdgV1IGbDPX38vX/+jbrvg2gA/I44GIVqpzYZj5gDUNhkmAEOJFIvo07K6HBuzKsncDOA9gp3zvLdh+D50cgEeJKAtbW7hPbv9VAH9ORJ8A8DaAX5HbPwrg60T0H6GVqBdCPC79Kv9kV87GOQDvx+LqfcIsYDjklmGaAIfEMksFNk8xDMMwsWFNg2EYhokNaxoMwzBMbFhoMAzDMLFhocEwDMPEhoUGwzAMExsWGgzDMExs/j9wpsDKIl5MJAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[198.5, 262.6, 206.4, 201.8][223.8, 203.5, 199.8, 218.8][246.2, 219.1, 182.0, 174.2][207.8, 164.1, 139.0, 161.5]\n",
      "\n",
      "[252.2, 278.4, 235.8, 212.4][288.7, 232.9, 204.7, 206.8][213.5, 183.9, 138.2, 186.6][178.3, 126.4, 149.2, 58.0]\n",
      "\n",
      "[241.1, 215.7, 277.2, 236.5][194.4, 195.9, 268.7, 242.0][210.9, 210.2, 208.9, 256.3][196.3, 175.4, 182.9, 174.5]\n",
      "\n",
      "[171.7, 175.9, 218.0, 178.4][178.5, 177.5, 196.1, 225.4][194.1, 186.7, 206.1, 184.4][185.5, 193.7, 158.8, 199.2]\n",
      "\n",
      "  .   <-  |<- | <-  \n",
      "\n",
      "  .   <-   <-   <-  \n",
      "\n",
      "  ->   ->   ^   <-  \n",
      "\n",
      "  ->   ^    ->   ^  \n",
      "\n"
     ]
    }
   ],
   "source": [
    "for t in range(10):\n",
    "    print(\"trail \",t)\n",
    "    maxEp = 500\n",
    "    learner = Qlearner(bins,action_space,env,successReward = 600, useLastAction=False)\n",
    "    learner.maxEpisode=maxEp\n",
    "    for e in range(maxEp):\n",
    "        learner.learn()\n",
    "        learner.episode = e\n",
    "        print(\"\\r\\repsilon:\",round(learner.currentEpsilon(),2), end = \"\")\n",
    "        print(\"  ep:\",e,end = \" |\")\n",
    "        if learner.doneEpisode != None:\n",
    "            numberEpToRew.append(learner.doneEpisode)\n",
    "            break\n",
    "    print(\"-----\")\n",
    "    plt.plot(learner.rewardHist)\n",
    "    plt.title(\"Reinforcement learning: \"+ str(t) + \" Episode Reward\\n 600:\"+str(learner.doneEpisode))\n",
    "    plt.xlabel(\"episode\")\n",
    "    plt.ylabel(\"reward\")\n",
    "    plt.savefig(\"./rlgraphs/epRew\" + str(t)+\".png\")\n",
    "    plt.show()\n",
    "    plt.plot(np.cumsum(learner.rewardHist))\n",
    "    plt.title(\"Reinforcement learning: \"+ str(t) + \" Accumulative Reward\\n 600:\"+str(learner.doneEpisode))\n",
    "    plt.xlabel(\"episode\")\n",
    "    plt.ylabel(\"accumulated reward\")\n",
    "    plt.savefig(\"./rlgraphs/accRew\" + str(t)+\".png\")\n",
    "    plt.show()\n",
    "    plt.plot(learner.testRewHist)\n",
    "    plt.title(\"Reinforcement learning: \"+ str(t) + \" Test rewards\\n 600:\"+str(learner.doneEpisode))\n",
    "    plt.xlabel(\"testRun\")\n",
    "    plt.ylabel(\"reward achieved\")\n",
    "    plt.savefig(\"./rlgraphs/testRewRew\" + str(t)+\".png\")\n",
    "    plt.show()\n",
    "    drawQtableVal(learner.q_tab)\n",
    "    drawQtablePath(learner.q_tab)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[156, 203, 223, 206, 162, 225, 202, 223, 297, 250]"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "numberEpToRew"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[156, 203, 223, 206, 162, 225, 202, 223, 297, 250]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "214.7"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(numberEpToRew)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "38.54880024073382"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.std(numberEpToRew)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:mlagents.envs:Environment shut down with return code 0.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "closed training\n"
     ]
    },
    {
     "ename": "UnityEnvironmentException",
     "evalue": "No Unity environment is loaded.",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mUnityEnvironmentException\u001b[0m                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-81-1baceacf4cb1>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0menv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m<ipython-input-8-72569a5f989c>\u001b[0m in \u001b[0;36mclose\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m     59\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrain_env\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     60\u001b[0m         \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"closed training\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 61\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minf_env\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     62\u001b[0m         \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"closed inference\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     63\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/MLU/lib/python3.6/site-packages/mlagents/envs/environment.py\u001b[0m in \u001b[0;36mclose\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m    472\u001b[0m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_close\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    473\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 474\u001b[0;31m             \u001b[0;32mraise\u001b[0m \u001b[0mUnityEnvironmentException\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"No Unity environment is loaded.\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    475\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    476\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m_close\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mUnityEnvironmentException\u001b[0m: No Unity environment is loaded."
     ]
    }
   ],
   "source": [
    "env.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Comparison using recorded data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "tfGA = 1.8\n",
    "tfRL = 0.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "genetic = [98, 31, 4, 35, 16, 30, 19, 5, 16, 4, 59, 43, 23]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "rl = [156, 203, 223, 206, 162, 225, 202, 223, 297, 250]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "gaTime = [i * tfGA for i in genetic]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "rlTime = [i * tfRL for i in rl]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats as stat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ttest_indResult(statistic=-6.137559128836237, pvalue=5.278191429023976e-06)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stat.ttest_ind(gaTime,rlTime,equal_var=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "means rl: 150.29000000000002 ga: 53.03076923076923\n"
     ]
    }
   ],
   "source": [
    "print(\"means\",\"rl:\",np.mean(rlTime), \"ga:\",np.mean(gaTime))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "std rl: 26.984160168513675 ga: 45.19406674154311\n"
     ]
    }
   ],
   "source": [
    "print(\"std\",\"rl:\",np.std(rlTime), \"ga:\",np.std(gaTime))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "gaStepFactor = 9\n",
    "epL = 400"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "gaSteps = [i*gaStepFactor * epL for i in genetic]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "rlSteps = [i * epL for i in rl]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ttest_indResult(statistic=0.7588693643715171, pvalue=0.46154798283023424)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stat.ttest_ind(gaSteps,rlSteps,equal_var=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "std rl: 15419.520096293529 ga: 90388.13348308623\n"
     ]
    }
   ],
   "source": [
    "print(\"std\",\"rl:\",np.std(rlSteps), \"ga:\",np.std(gaSteps))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "means rl: 85880.0 ga: 106061.53846153847\n"
     ]
    }
   ],
   "source": [
    "print(\"means\",\"rl:\",np.mean(rlSteps), \"ga:\",np.mean(gaSteps))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.boxplot([gaSteps,rlSteps])\n",
    "plt.gca().set_xticklabels(['GA', 'RL'])\n",
    "plt.xlabel(\"Algorithm\")\n",
    "plt.ylabel(\"Steps Needed\")\n",
    "plt.title(\"Boxplot Comparison Steps Needed\")\n",
    "plt.savefig('rlgraphs/boxplotcompStepsNeeded.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.boxplot([gaTime,rlTime])\n",
    "plt.gca().set_xticklabels(['GA', 'RL'])\n",
    "plt.xlabel(\"Algorithm\")\n",
    "plt.ylabel(\"Time in s\")\n",
    "plt.title(\"Boxplot Comparison Walltime\")\n",
    "plt.savefig('rlgraphs/boxplotcompWallTime.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
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