OnlineGame.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6a20f23f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import time\n",
    "from numba import njit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e7daa81e",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Checks if current position is not floating.\n",
    "def CheckBelow(Environment, X, Y, Z):\n",
    "    return Z == 0 or (Environment[X,Y,:Z] != '0').all()\n",
    "\n",
    "#Checks if current position has container.\n",
    "def CheckPos(Environment, Size, X, Y, Z):\n",
    "    if not ExceedsLot(Size, X, Y, Z):\n",
    "        return Environment[X, Y, Z] != '0'\n",
    "    else:\n",
    "        return False\n",
    "\n",
    "#Checks if coordinates exceed lot.\n",
    "def ExceedsLot(Size, X, Y, Z):\n",
    "    return Size[2] <= Z or Size[1] <= Y or Size[0] <= X or Z < 0 or Y < 0 or X < 0\n",
    "\n",
    "#Check whether container is in the middle of other containers.\n",
    "def CheckMiddle(Environment, Size, X, Y, Z):\n",
    "    return CheckPos(Environment, Size, X, Y - 1, 0) and CheckPos(Environment, Size, X, Y + 1, 0)\n",
    "\n",
    "#Adds container to environment using state.\n",
    "def AddContainer(Environment, Size, State, X, Y, Z):\n",
    "    tempEnvironment = np.copy(Environment)\n",
    "    if CheckBelow(Environment, X, Y, Z) and not CheckPos(Environment, Size, X, Y, Z) and not ExceedsLot(Size, X, Y, Z) and not CheckMiddle(Environment, Size, X, Y, Z):\n",
    "        tempEnvironment[X,Y,Z] = State\n",
    "    return tempEnvironment\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "77f5035e",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Scores board based on priority :)\n",
    "def scoreEnvironment(Environment):\n",
    "    result = 0\n",
    "    for x in range(Environment.shape[0]):\n",
    "        for y in range(Environment.shape[1]):\n",
    "            for z in range(Environment.shape[2]):\n",
    "                if(Environment[x,y,z] == 'H'):\n",
    "                    #print(\"yes\")\n",
    "                    #result += (Environment[x,y,z+1:] == 'L').sum()\n",
    "                    north = (Environment[x,y:,:] == 'L').sum()\n",
    "                    south = (Environment[x,:y+1,:] == 'L').sum()\n",
    "                    \n",
    "                    result += -np.min(north + south)\n",
    "    return result\n",
    "\n",
    "#def scoreEnvironment(Environment):\n",
    "#    result = 0\n",
    "#    for x in range(Environment.shape[0]):\n",
    "#        for y in range(Environment.shape[1]):\n",
    "#            for z in range(Environment.shape[2]):\n",
    "#                result = (Environment[0,:,:] == 'L').sum()\n",
    "#                result -= (Environment[0,:,:] == 'H').sum()\n",
    "#                result -= (Environment[2,:,:] == 'L').sum()\n",
    "#                result += (Environment[2,:,:] == 'H').sum()\n",
    "#    return result\n",
    "\n",
    "\n",
    "#Returns cleared environment\n",
    "def clearEnvironment(Environment):\n",
    "    return np.array([[['0'] * Size[2]] * Size[1]] * Size[0])\n",
    "\n",
    "def singleLegalSpotRemoved(Env1,Env2):\n",
    "    \n",
    "    \n",
    "    firstEnvSpots = np.sum(GenerateLegalMoveArray(Env1))\n",
    "    secondEnvSpots = np.sum(GenerateLegalMoveArray(Env2))\n",
    "    #print(\"FirstEnv: %i, SecondEnv: %i\"%(firstEnvSpots,secondEnvSpots))\n",
    "    if np.array_equiv(Speelveld,newSpeelveld):\n",
    "        return True\n",
    "    if (firstEnvSpots - secondEnvSpots) <= 1:\n",
    "        return False\n",
    "    return True\n",
    "\n",
    "def GenerateLegalMoveArray(Environment):\n",
    "    outputArray = []\n",
    "    it = np.nditer(Speelveld,[\"f_index\",\"multi_index\"])\n",
    "    for i in it:\n",
    "        outputArray.append(legalMove(Environment, Environment.shape, it.multi_index[0], it.multi_index[1], it.multi_index[2]))\n",
    "    return np.array(outputArray,dtype=bool).reshape(Environment.shape)\n",
    "\n",
    "#Generate status of board in Boolean array\n",
    "def GenerateStatusDataset(Environment,dataType):\n",
    "    return np.concatenate([np.array([dataType == 'H'],dtype=np.float32),np.array(Environment == 'L',dtype=np.float32).flatten(), np.array(Environment == 'H', dtype=np.float32).flatten(), np.array(GenerateLegalMoveArray(Environment),dtype=np.float32).flatten()])\n",
    "\n",
    "#Checks if move is legal\n",
    "def legalMove(Environment, Size, X, Y, Z):\n",
    "    return not CheckPos(Environment, Size, X, Y, Z) and CheckBelow(Environment, X, Y, Z) and not ExceedsLot(Size, X, Y, Z) and not CheckMiddle(Environment, Size, X, Y, Z)\n",
    "\n",
    "\n",
    "def renderBalk(value,maxvalue,barlength,reverse=False):\n",
    "    bars = int((value)/maxvalue*barlength)\n",
    "    if reverse:\n",
    "        return str('#'*bars) + str('_'*(barlength-bars))\n",
    "    else:\n",
    "        return str('#'*(barlength-bars)) + str('_'*bars)\n"
   ]
  },
  {
   "cell_type": "raw",
   "id": "4042a7c5",
   "metadata": {},
   "source": [
    "https://youtu.be/wc-FxNENg9U"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6b1a0427",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "using gpu 2\n"
     ]
    }
   ],
   "source": [
    "import torch as T\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "import torch.optim as optim\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fb962dab",
   "metadata": {},
   "outputs": [],
   "source": [
    "class DeepQNetwork(nn.Module):\n",
    "    def __init__(self, lr, input_dims, fc1_dims, fc2_dims, n_actions):\n",
    "        super(DeepQNetwork, self).__init__()\n",
    "        self.input_dims = input_dims\n",
    "        self.fc1_dims = fc1_dims\n",
    "        self.fc2_dims = fc2_dims\n",
    "        self.n_actions = n_actions\n",
    "        self.fc1 = nn.Linear(*self.input_dims, self.fc1_dims)\n",
    "        self.fc2 = nn.Linear(self.fc1_dims, self.fc2_dims)\n",
    "        self.fc3 = nn.Linear(self.fc2_dims, self.n_actions)\n",
    "        self.optimizer = optim.Adam(self.parameters(),lr=lr)\n",
    "        self.loss = nn.MSELoss()\n",
    "        self.device = T.device('cuda:0' if T.cuda.is_available() else 'cpu')\n",
    "        self.to(self.device)\n",
    "    \n",
    "    def forward(self, state):\n",
    "        x = F.relu(self.fc1(state))\n",
    "        x = F.relu(self.fc2(x))\n",
    "        actions = self.fc3(x)\n",
    "        \n",
    "        return actions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "040e204a",
   "metadata": {},
   "outputs": [],
   "source": [
    "class Agent():\n",
    "    def __init__(self, gamma, epsilon, lr, input_dims, batch_size, n_actions, max_mem_size=100000, eps_end=0.01, eps_dec=5e-4):\n",
    "        self.gamma = gamma\n",
    "        self.epsilon = epsilon\n",
    "        self.eps_min = eps_end\n",
    "        self.eps_dec = eps_dec\n",
    "        self.lr = lr\n",
    "        self.action_space = [i for i in range(n_actions)]\n",
    "        self.mem_size = max_mem_size\n",
    "        self.batch_size = batch_size\n",
    "        self.mem_cntr = 0\n",
    "        \n",
    "        self.Q_eval = DeepQNetwork(self.lr, n_actions=n_actions, input_dims=input_dims, fc1_dims = 73, fc2_dims=100)\n",
    "        \n",
    "        self.state_memory = np.zeros((self.mem_size, *input_dims), dtype=np.float32)\n",
    "        self.new_state_memory = np.zeros((self.mem_size,*input_dims), dtype=np.float32)\n",
    "        \n",
    "        self.action_memory = np.zeros(self.mem_size, dtype=np.int32)\n",
    "        self.reward_memory = np.zeros(self.mem_size, dtype=np.float32)\n",
    "        self.terminal_memory = np.zeros(self.mem_size, dtype=np.bool)\n",
    "        \n",
    "    def store_transition(self, state, action, reward, state_, done):\n",
    "        index = self.mem_cntr % self.mem_size\n",
    "        self.state_memory[index] = state\n",
    "        self.new_state_memory[index] = state_\n",
    "        self.reward_memory[index] = reward\n",
    "        self.action_memory[index] = action\n",
    "        self.terminal_memory[index] = done\n",
    "        \n",
    "        self.mem_cntr += 1\n",
    "    \n",
    "    def choose_action(self, observation):\n",
    "        indices = self.action_space.copy()\n",
    "        if np.random.random() > self.epsilon:\n",
    "            state = T.tensor([observation]).to(self.Q_eval.device)\n",
    "            actions = self.Q_eval.forward(state)\n",
    "            action = T.argmax(actions).item()\n",
    "        else:\n",
    "            action = np.random.choice(self.action_space)\n",
    "        return action\n",
    "    \n",
    "    def learn(self):\n",
    "        if self.mem_cntr < self.batch_size:\n",
    "            return\n",
    "        \n",
    "        self.Q_eval.optimizer.zero_grad()\n",
    "        \n",
    "        max_mem = min(self.mem_cntr, self.mem_size)\n",
    "        batch = np.random.choice(max_mem, self.batch_size, replace=False)\n",
    "        \n",
    "        batch_index = np.arange(self.batch_size, dtype=np.int32)\n",
    "        \n",
    "        state_batch = T.tensor(self.state_memory[batch]).to(self.Q_eval.device)\n",
    "        new_state_batch = T.tensor(self.new_state_memory[batch]).to(self.Q_eval.device)\n",
    "        reward_batch = T.tensor(self.reward_memory[batch]).to(self.Q_eval.device)\n",
    "        terminal_batch = T.tensor(self.terminal_memory[batch]).to(self.Q_eval.device)\n",
    "        \n",
    "        action_batch = self.action_memory[batch]\n",
    "        \n",
    "        q_eval = self.Q_eval.forward(state_batch)[batch_index, action_batch]\n",
    "        q_next = self.Q_eval.forward(new_state_batch)\n",
    "        q_next[terminal_batch] = 0.0\n",
    "        \n",
    "        q_target = reward_batch + self.gamma * T.max(q_next, dim=1)[0]\n",
    "        \n",
    "        loss = self.Q_eval.loss(q_target, q_eval).to(self.Q_eval.device)\n",
    "        loss.backward()\n",
    "        self.Q_eval.optimizer.step()\n",
    "        \n",
    "        self.epsilon = self.epsilon - self.eps_dec if self.epsilon > self.eps_min else self.eps_min\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d5830c26",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "55"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "3*3*2*3 + 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "712d7dcd",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empty spots: 2\t####____________________________________\n",
      "Train progress:\t#######################################_\n",
      "Episode 14990/15000 score 37.58 avgReward 2.24 epsilon 0.01\n"
     ]
    }
   ],
   "source": [
    "from IPython.display import clear_output\n",
    "#TODO: Move learning point to after the episode.\n",
    "\n",
    "Size = (3,3,2)\n",
    "\n",
    "#High is H\n",
    "#Low is L\n",
    "\n",
    "#Generate Environment\n",
    "c =  [[['0'] * Size[2]] * Size[1]] * Size[0]\n",
    "cSize = Size[0]*Size[1]*Size[2]*3  #Set observation space size\n",
    "actionSize = Size[0]*Size[1]*Size[2] #Set action space size\n",
    "Speelveld = np.array(c)\n",
    "\n",
    "#Create agent with properties\n",
    "agent = Agent(gamma=0.99, epsilon=1.0, batch_size=128, n_actions=actionSize, eps_end=0.01, eps_dec=5e-4, input_dims = [cSize + 1], lr=0.001)\n",
    "\n",
    "scores, eps_history, avg_scores = [], [], []\n",
    "\n",
    "#Number of games\n",
    "n_games = 15000\n",
    "\n",
    "for i in range(n_games):\n",
    "    score = 0\n",
    "    done = False\n",
    "    Speelveld = clearEnvironment(Speelveld)\n",
    "    step = 0\n",
    "    containerList = []\n",
    "    #containerList = [np.random.choice(['L','H'])]*actionSize\n",
    "    for o in range(actionSize):\n",
    "        containerList.append(np.random.choice(['L','H']))\n",
    "    #print(containerList)\n",
    "    #containerList = ['H','L','L','H']\n",
    "    \n",
    "    MemoryDict = {\"newContainerType\":[],\n",
    "                  \"Speelveld\":[],\n",
    "                  \"newSpeelveld\":[],\n",
    "                  \"action\":[],\n",
    "                  \"reward\":[],\n",
    "                  \"done\":[]}\n",
    "    \n",
    "    \n",
    "    while not done:\n",
    "        reward = 0\n",
    "        \n",
    "        step+=1\n",
    "        newContainerType = containerList[-1]\n",
    "        containerList.pop()\n",
    "        Observation = GenerateStatusDataset(Speelveld,newContainerType)\n",
    "        #print(NeuralInput)\n",
    "        \n",
    "        #Neural Network\n",
    "        action = agent.choose_action(Observation)\n",
    "        \n",
    "        #Insert while loop waar alle opties geprobeerd worden.\n",
    "        nnpred = np.array([0]*Size[2] * Size[1] * Size[0])\n",
    "        nnpred[action] = 1\n",
    "\n",
    "        posX, posY, posZ = np.where(nnpred.reshape(Size)==1)\n",
    "\n",
    "        newSpeelveld = AddContainer(Speelveld, Size, newContainerType, int(posX), int(posY), int(posZ))\n",
    "        \n",
    "        #Rewarding or punishing agent:\n",
    "        if singleLegalSpotRemoved(Speelveld,newSpeelveld):\n",
    "            containerList.append(newContainerType)\n",
    "            reward = -10\n",
    "            done = True\n",
    "        else:\n",
    "            reward = 3\n",
    "            \n",
    "                \n",
    "        #Exit environment if there's been 2 too many step s (No need to punish, since it already punishes itself above)\n",
    "        if(step >= Size[0]*Size[1]*Size[2]*2 or not containerList):\n",
    "            done = True\n",
    "        \n",
    "        score += reward\n",
    "\n",
    "        #Append to memory lists\n",
    "        MemoryDict[\"newContainerType\"].append(newContainerType)\n",
    "        MemoryDict[\"Speelveld\"].append(Speelveld)\n",
    "        MemoryDict[\"newSpeelveld\"].append(newSpeelveld)\n",
    "        MemoryDict[\"action\"].append(action)\n",
    "        MemoryDict[\"reward\"].append(reward)\n",
    "        MemoryDict[\"done\"].append(done)\n",
    "        \n",
    "        Speelveld = newSpeelveld\n",
    "        \n",
    "        \n",
    "        eps_history.append(agent.epsilon)\n",
    "        avg_score = np.mean(scores[-100:])\n",
    "        \n",
    "    scores.append(score)\n",
    "    avgReward = np.mean(MemoryDict[\"reward\"])\n",
    "    #avgReward = 0\n",
    "    #avgReward = scoreEnvironment(Speelveld)\n",
    "    #print(MemoryDict.values())\n",
    "    #print(\"Episode %i score %.2f average score %.2f epsilon %.2f\"%(i,score,avg_score,agent.epsilon))\n",
    "    \n",
    "    \n",
    "    if not i % 10:\n",
    "        clear_output(wait=True)\n",
    "        #printString(content[int((i/10)%50)])\n",
    "        #if i != 0:\n",
    "        #    plt.plot(np.average(np.reshape(scores[:-1],(-1,10)),axis=1))\n",
    "        #    plt.show()\n",
    "        #print(GenerateLegalMoveArray(Speelveld))\n",
    "        #print(Speelveld)\n",
    "        unique, counts = np.unique(Speelveld.flatten(), return_counts=True)\n",
    "        occurrences = dict(zip(unique, counts))\n",
    "        if '0' in occurrences:\n",
    "            print(\"Empty spots: %i\\t\"%(occurrences['0'])+renderBalk(occurrences['0'],Size[0]*Size[1]*Size[2],40,reverse=True))\n",
    "        else:\n",
    "            print(\"No empty spots! Almost done!\")\n",
    "        #print(occurrences)\n",
    "        \n",
    "        print(\"Train progress:\\t\" + renderBalk(i,n_games,40,reverse=True))\n",
    "        print(\"Episode %i/%i score %.2f avgReward %.2f epsilon %.2f\"%(i,n_games,np.mean(scores[-100:]),avgReward,agent.epsilon),flush=True)\n",
    "        \n",
    "        \n",
    "    \n",
    "    for l in range(len(MemoryDict[\"newContainerType\"])):\n",
    "        agent.store_transition(GenerateStatusDataset(MemoryDict[\"Speelveld\"][l],MemoryDict[\"newContainerType\"][l]), MemoryDict[\"action\"][l], avgReward + MemoryDict[\"reward\"][l], GenerateStatusDataset(MemoryDict[\"newSpeelveld\"][l],MemoryDict[\"newContainerType\"][l]), MemoryDict[\"done\"][l])\n",
    "    agent.learn()\n",
    "    \n",
    "    #print(Speelveld)\n",
    "    \n",
    "    avg_scores.append(avgReward)\n",
    "#    x = [i+1 for i in range(n_games)]\n",
    "\n",
    "#    plot_learning_curve(x, scores, eps_history, filename)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7982cef7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MaxEpisode = min(15000,n_games)\n",
    "SmoothingFactor = 200\n",
    "\n",
    "plt.plot(np.array(range(int(MaxEpisode/SmoothingFactor)))*SmoothingFactor,np.median(np.reshape(scores[:MaxEpisode],(-1,SmoothingFactor)),axis=1),color=\"navy\",label=\"Median score over \"+ str(SmoothingFactor) + \" games\")\n",
    "plt.axhline(y = Size[0]*Size[1]*Size[2]*3, color = 'r', linestyle = '--',label=\"Maximum score\")\n",
    "\n",
    "plt.legend()\n",
    "plt.title(\"Training score reinforcement learning\")\n",
    "plt.xlabel(\"Episodes\")\n",
    "plt.ylabel(\"Score\")\n",
    "\n",
    "plt.savefig('result2.png',dpi=300)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "21fe0928",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Save Model\n",
    "T.save(agent.Q_eval.state_dict(),\"mart.pt\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "11728286",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Load Model\n",
    "agent = Agent(gamma=0.99, epsilon=1.0, batch_size=128, n_actions=actionSize, eps_end=0.01, input_dims = [cSize + 1], lr=0.001)\n",
    "agent.Q_eval.load_state_dict(T.load(\"mart.pt\"))\n",
    "agent.Q_eval.eval()\n",
    "agent.Q_eval.state_dict()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0099ea79",
   "metadata": {},
   "outputs": [],
   "source": [
    "actions = 17\n",
    "randomized = [i for i in range(actions)]\n",
    "\n",
    "\n",
    "indices = [i for i in range(actions)]\n",
    "randvalues = np.random.random(actions)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6f20100d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#Zip random values with indices\n",
    "neuralOutput = dict(zip(f, randvalues))\n",
    "#Sort neural output\n",
    "neuralOutputSorted =sorted(neuralOutput,key=neuralOutput.get, reverse=True)\n",
    "\n",
    "\n",
    "np.random.shuffle(randomized)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e6bf94eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "neuralOutputSorted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "33c030b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "neuralOutput"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "be7c502d",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "77524db4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from IPython.display import clear_output\n",
    "content = []\n",
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    "content.append(\"                                                                    <br>                                                                    <br>                                Bk5q.                               <br>                                Uq iB:                              <br>                            .:,  .N .B                              <br>                           YBJ7YL::B Jq                             <br>                           .2Jvrr7r8Z B                             <br>                                :jkvBvBr                            <br>                           .7YUjYrJJ7LU1F22r.                       <br>                         JEP7:.          ,:jNNi                     <br>                       LML.     . . . .      .PB.                   <br>                      OX   ............. ...   iB:                  <br>                     BY   ..................... :B,                 <br>                    M2   ....................... LO                 <br>                   ;B   ........................  B.                <br>                   M7  .........................  Er                <br>                  .B. ....... . ..... . ......... Er                <br>                  :B   .....     ...    ........  Zr                <br>                  :8  .....  ,N:  .  7U  ......   B:                <br>                  .B   ..... qBB    ,BBi ....... .B                 <br>                   Bi .....  ,G: :i. qk  ....... :B                 <br>                   0Y  .....  .J00SPSr   .......  B:                <br>                   Gr ..... ,MM7:,:,iuMv  ..... . 1X                <br>                   B,  ...  ,BPF5XPXFPMN ..... .  vO                <br>                   1B          ...,..     .      ,B:                <br>                    LM1i..                    .vXB:                 <br>                      .LBO22Skk2FFkFkFkFkFk1SBB:.                   <br>                       Or      ............. ,E7                    <br>                      B:                       Mv                   <br>                     UU  . .Sr ....... ..Si  . ,M                   <br>                     XJ . .B1  ........  ,B7   .B                   <br>                     M7   .Br  . .....   .MU .  M:                  <br>                    .B  .   i0i     .   PY.     ku                  <br>                     MY     YBL        ,BM,    ,B,                  <br>                      FXr  .BLi8Ek5JX2BY:Mj  :2q:                   <br>                       :kEkN:.iBYuEFNrMu..2qP0v                     <br>                     .r:,,: LBui:,MBr,:7ME.,:.:i:                   <br>                     .iri;::UO1XkqUJFXk5kk,:i;i;.                   <br>                        ..::::ii;:,,::i::,::,..                     <br>                                                                    <br>\")\n",
    "content.append(\"                                                                    <br>                                  .                                 <br>                                YBiqE                               <br>                                 GY LB                              <br>                            LYL;. 7U 0J                             <br>                           :B1r7Yj:B:.B                             <br>                             irr77ruB 0,                            <br>                                 i81BUPY                            <br>                           :YUk5Ui;vrrYU5FS7,                       <br>                        .FN1i,           .,7FE7                     <br>                       uG;    . . . . . .    .UB:                   <br>                     .MU   .................   :Br                  <br>                     Br   ..................... .B:                 <br>                    ML   ....................... 7B                 <br>                   rM   ........................  B.                <br>                   O;  .........................  E7                <br>                  .B  ....... . ..... . ......... 0r                <br>                  :M   .....     ...    ........  Zr                <br>                  :O  .....  ,Mr  .  JS. ......   M:                <br>                  .B   ..... PBB    :BBi ....... .M                 <br>                   8i ...... .F:.:i..1Y  ....... :B                 <br>                   PY  .....  ,UNX1S57   .......  B:                <br>                   8r ..... :BGr:,::iJBU  ..... . jq                <br>                   B:  ...  .GkXSXSPkk0P  .... .  L8                <br>                   7B.            .       .      iB.                <br>                    iZF7:,....           . ...,jZG.                 <br>                       YBj25k15USSkSXFkFkFPF1MB,                    <br>                       M:                     Ni                    <br>                      Nu  .  :.         :.    .B.                   <br>                      B: .  k0   . ...  :B,    Mi                   <br>                      XU  . Ek,.  . .  .rB, . .B.                   <br>                       B:    YYUX. . YPYJ: .  EL                    <br>                       UE      LB.   UB      ,B                     <br>                        Mi     ;0    iE      M7                     <br>                         FSU7,:NBXkjPSB7:iu1P:                      <br>                       ...:v7U8BrYPUk:MBkv7r...                     <br>                     .rr;::.LML:,,BBr,:;0N.,:ir7:                   <br>                      :r;ri:UO2XkqUJFXS1kS:iirii.                   <br>                        ..:::,iii:,,::i::,::,.                      <br>                                                                    <br>\") \n",
    "content.append(\"                                                                    <br>                                 :,                                 <br>                                BqrML                               <br>                                .N: BU                              <br>                            77i,  U7 Bi                             <br>                           YBLvYYL.B:,B                             <br>                            :7rri:r2B O.                            <br>                                :jO5BPBU                            <br>                          .rFk5Y7:::::i7jFkUi                       <br>                        :N0Y,.            .:JG2                     <br>                       NN:    . . ..... .     LB7                   <br>                     ,BL   .................   .Bj                  <br>                    .B:  ......................  Br                 <br>                    B;   ....................... iB                 <br>                   YZ   ........................  B,                <br>                   Bi  .........................  Z7                <br>                  .B  ....... . ..... . ......... 0r                <br>                  :M   .....     ...     .......  Or                <br>                  iO  .....  iBY     0M. ......   B:                <br>                  .B   ..... PBB    ,BBi ....... ,B                 <br>                   8i .....   7,:Lu::Li  ....... ,B                 <br>                   PY  .....  iXPUL5kj.  .......  M:                <br>                   8i ..... :BOr::i:iLBN  ..... . Jq                <br>                   Bi  ...  .52kkqXqF5FY ..... .  2X                <br>                   rBi                           LB                 <br>                    ,XSYr;,:,,.... ......,.,,i;5GP                  <br>                       7BvjU1UuUF1F1S15j1FFFJMB.                    <br>                       Z:     :        :      Z                     <br>                      .B:     BS.vZSU :B: .   Ou                    <br>                      .BB:     L0Zi.BBM      8M2                    <br>                       OJ0i          .M,   .0LB,                    <br>                       :O7Jkr:        0:.ijF;0Y                     <br>                        .UYLLYFY:..iqMLLu7Lv0i                      <br>                           7JvivUj7jUviiijL,                        <br>                             ,iGqU275YM7:.                          <br>                       .,::i.:;B7vFY5:8J:,:i::.                     <br>                     .7rrii,2BUi:,BBr,:7MM::iir7:                   <br>                     .i7;ri:UO1XkqUJFXk5Xk:iir;i.                   <br>                        ..::::ii;:,,::i::,::,.                      <br>                                                                    <br>\") \n",
    "content.append(\"                                                                    <br>                                                                    <br>                               BXLG;                                <br>                               JS: 0q                               <br>                            ..   rL U0                              <br>                           MqLYL:.5X M7                             <br>                           u277;rrrMU B                             <br>                             .,rJMMUB1Bj..                          <br>                          :v1jjr:,:,.::7J1qF7.                      <br>                        rOkr.              :v8S.                    <br>                      .Mk.    . . ..... . .   iBJ                   <br>                     iBi   .................    MS                  <br>                    :B, .......................  B7                 <br>                    B: . ....................... :B                 <br>                   U0   ........................  B:                <br>                   B:  .........................  N7                <br>                  .B  .......   .....   ......... Z;                <br>                  :M   .....     ...     .......  Or                <br>                  :M  .....  7B2     MB.  .....   B.                <br>                   B.  ..... SBM    .BB:   . ... :B                 <br>                   87 . .     :.:Yu7,i: .,.   .. ,B                 <br>                   EJ  .  .77iYB577u0qj82XZ5.  .  Br                <br>                   M: .  jMYruB5E::,Mr..   7B,  . Y8                <br>                   Bi   qN      FBLMM       qX    5k                <br>                   :B;  M.  .   .jZB,       8i  .2B                 <br>                    .Sk7BN     .   ;F0ji. .PB;;5NJ                  <br>                       ;B8E:,,       .7Uq225;SB                     <br>                       M, ;P1qqJ.             B,                    <br>                      ,B       iU0Y.      .   21                    <br>                      .B   .  .:J81XNj:.   .  Uq                    <br>                       Bu   :PqL:   ,r1SN2.  .B,                    <br>                       .Bj   .          ..  :B7                     <br>                         jZv,             ;X0.                      <br>                           ;25L:,. . ,,7jFv.                        <br>                              :BBGZUBPBr.                           <br>                       .,iii,:7B77FY5:8Ui,:ii:.                     <br>                     .7rrii,2Bui:,BBr,:7MM::iir7:                   <br>                     .i7;ri:UM1PkNUJFXk5XX:iir;r.                   <br>                        ..::::ii;:,,::i::.i:,..                     <br>                                                                    <br>\") \n",
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    "content.append(\"                                                                    <br>                                                                    <br>                               iUUr                                 <br>                               B5.jM.                               <br>                                vJ .B,                              <br>                           ,7r;: .S..B                              <br>                           BMvv7L:JB ;Z                             <br>                            :i:r7JY1M,B                             <br>                             ,rrL5BFNSMSjYi.                        <br>                         :Uq27:,.      .,iYXPJ                      <br>                       ,Mq;                 .7M2                    <br>                      uB:    . .............   SB                   <br>                     PE   ................. .   vB                  <br>                    2M   .....................   PS                 <br>                   :B   .......................   B                 <br>                   GY  .........................  Or                <br>                   B. ............... ..........  Zr                <br>                  ,B  .......    ...   . .......  0r                <br>                  iM  ...... .r.  .  ,:  .......  Mi                <br>                  ,B   ..... SBB    .BBi ....... .B.                <br>                   B, .....  rBv    .BB. ......  :B                 <br>                   0L  .....   i1NPXj:   ....... .B                 <br>                   0L .....  L0ji:::vUF, ........ Xj                <br>                   B,  .... :BEU2S1FU1BB  .... .  7O                <br>                   qk     .   ::i:i:i:,   . .     Br                <br>                    ZZ7.                       :LBY                 <br>                     .LUB1F5117;Y7vrJLr:vL7j10ZU7                   <br>                       UE .,,BEBBB:7BMBPBL::.rB                     <br>                       B      iLL     ,B.     07                    <br>                      ,Mr:            FU     ;2P                    <br>                       B;NXi.   .   .qZ   :YMi0r                    <br>                       10 :1XPXNqO1SBBUFFP57 rB                     <br>                        UG:       .         FM                      <br>                         .L5r,          .iJF:                       <br>                            71222vvrY7k1SY,                         <br>                       ,,i:: ,LB5FMNOLBS:.,i::,                     <br>                     .7rrii.UBji,.BBr.:7MO,:iirri                   <br>                     .ir;ri:UM1XPNUjSXk1PX:iir;r.                   <br>                        ..::::iii:,,::i::,i:,..                     <br>                                                                    <br>\") \n",
    "content.append(\"                                                                    <br>                                                                    <br>                               .1UP.                                <br>                               LB,,BJ                               <br>                                 2i MU                              <br>                           ;kYvL:.ur B:                             <br>                           FB7vLYLiBr,B                             <br>                             ..,,vLYB:B,                            <br>                            .,rr7jONNXMFJYi.                        <br>                         :UN17:,.      .,iYXPJ                      <br>                       ,Mq;                 .7M2                    <br>                      uB:    . .............   SB                   <br>                     PE   ................. .   vB                  <br>                    2M   .....................   PS                 <br>                   :B   .......................   B                 <br>                   GY  .........................  Or                <br>                   B. ............... ..........  Zr                <br>                  ,B  .......    ...   . .......  0r                <br>                  iM  ...... .r.  .  ,:  .......  Mi                <br>                  ,B   ..... SBB    .BBi ....... .B.                <br>                   B, .....  rBv    .BB. ......  :B                 <br>                   0L  .....   i1NPXj:   ....... .B                 <br>                   0L .....  L0ji:::vUF, ........ Xj                <br>                   B,  .... :BEU2S1FU1BB  .... .  7O                <br>                   qk     .   ::i:i:i:,   . .     Br                <br>                    ZZ7.                       :LBY                 <br>                     .vUB1FF1YJYJ7L7L7Lrr7Lj10ZU7                   <br>                       jN .:.ir.,i:::::iri::.rM                     <br>                       B:    7B   .    7B     Mi                    <br>                      .Bu  .  UE127BNYU8:    .B5                    <br>                       BBr     .:  E0:.     .FBi                    <br>                       J0Y2r.       :B    :UUkG                     <br>                        YX7vN7     :Nr  :SU7SZ                      <br>                          rL7XuLrL7UUiijPurJ:                       <br>                            rvLkSvr:7vqJL7.                         <br>                       :,i:: ,vBuUGX0rB1: ,i::,.                    <br>                     ,vrrii.UBJi,.MBr.:7MO,:iirr;                   <br>                     .iriri:UM1XPNUjSXk1PX:iirir,                   <br>                        ..::::iii:,,::i::,i::..                     <br>                                                                    <br>\") \n",
    "content.append(\"                                                                    <br>                                                                    <br>                                SSqL                                <br>                                BS jB                               <br>                             .   :N 7B                              <br>                           7BUuU7.iE 2U                             <br>                           iMYLrJLiB5 B                             <br>                               .ir77B:O:                            <br>                            .:7r7LE0qXMFJYi.                        <br>                         :UN17:,.      .,iYXPJ                      <br>                       ,Mq;                 .7M2                    <br>                      uB:    . .............   SB                   <br>                     PE   ................. .   vB                  <br>                    2M   .....................   PS                 <br>                   :B   .......................   B                 <br>                   GY  .........................  Or                <br>                   B. ............... ..........  Zr                <br>                  ,B  .......    ...   . .......  0r                <br>                  iM  ...... .r.  .  ,:  .......  Mi                <br>                  ,B   ..... SBB    .BBi ....... .B.                <br>                   B, .....  rBv    .BB. ......  :B                 <br>                   0L  .....   i1NPXj:   ....... .B                 <br>                   0L .....  L0ji:::vUF, ........ Xj                <br>                   B,  .... :BEU2S1FU1BB  .... .  7O                <br>                   qk     .   ::i:i:i:,   . .     Br                <br>                    ZZr.                       :LBY                 <br>                     .7XB5SF1U5Jj7L7L7LLYvLj1qBY7                   <br>                       M;..:..,::;iiiiii::::.,Oi                    <br>                      0u     :          ,.    .B.                   <br>                      B: .  S0   . . .  :B,    M;                   <br>                      PU  . ZP,.  ...  .rB: . .B.                   <br>                       B:    YJ2q, . YNYj: .  ZY                    <br>                       uE      LB.   1B      ,B                     <br>                       .Mi     rk    :G      B7                     <br>                         FXU7,:0Br7r72B7:iU1q:                      <br>                       ,..:v7U8BY1MNGrMBkL7r....                    <br>                     :Lrr::.YMv:,.BBr.:;EN.,:irr;                   <br>                     .iriri:UO1XPNUjSXS1Xk,iirir,                   <br>                        ..::::iii:,,::i::,i::..                     <br>                                                                    <br>\") \n",
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    "content.append(\"                                                                    <br>                                                                    <br>                                                                    <br>                                                                    <br>                                                                    <br>                                                                    <br>                                                                    <br>                                                                    <br>                                                                 iXY<br>                                                          v8FX   B:N<br>                                                 .::,.    iM,rB  B .<br>                                            iuPXkFU22SSG17  5;,O M r<br>                                         :kZSr,         :7qU:O:;B7 B<br>                                       r80:      ..... .   .7MBiB UU<br>                                      NN,   .     ....... .   LBjYP <br>                                    7Bi  . .  .:.  .........   .BN  <br>                                   5B.  .   :XGXG5. ........... .Bi <br>                                 LBF   .  .XMv   FB  ........... .B.<br>                               .BF.      LBY      B, ............ :B<br>                               BL     .70Z.  .   PZ  ...........   B<br>                               B:  .7FPL:   .   uM  .............  2<br>                               ,M:Y0j:         5E    ............  0<br>                                BOi       .rSS;kS.GB: ........... .B<br>                              1O,      .rBB2r7BMiBBB. ..........  07<br>                            XMY   .   vE7;Mqi.7M ..  ..........  ZE <br>                          iBY   ... 7BB    LMS7B.    .......   :M5  <br>                         YB.  ..... i.Y8i    r82  .........  .0B:   <br>                        :B   .......   :MZ.      .......   ,UBL     <br>                        G5  ...........  rBu    .......  .087       <br>                        0P  ............   UM7   ... .  ,B7         <br>                        .B, .............    Yk7.      7B:          <br>                         7B.   ........... .Mq2BPkvr:7k0            <br>                          iB:   . ....... :M2,i  .;iUBi             <br>                            BEi.         7M.       :Bv              <br>                           rE1BXqU;.     kN  Y1uUjkX,               <br>                         :UB:G5 ij5GEqFEBGMBBL,::,                  <br>                       .BB1i:YB,,.,.::.MB,:rSBr.:ir7:               <br>                       .OGqMEZJ::i:i::,7NPPX5O7iirii.               <br>                           .,.:ir;rrr;r:::i::.::,.                  <br>                                                                    <br>\") \n",
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    "content.append(\"                                                                    <br>                                                                    <br>                                                                    <br>                                                                    <br>                                                                    <br>          ..                                                        <br>        ,BULUFv                                                     <br>         Gur::iXF                                                   <br>            :YY.:N;     . .                                         <br>        ,7LLr;UMY:MF;UFS1kSPqPL:                                    <br>       NB7YL1r;jOMj7:..     ..72E7                                  <br>       :jY;  :UF:      . . .    .U8:                                <br>            XU.   . ......... .   ,B7                               <br>          7B:  .............    ..  Ev                              <br>         YB   ..............  YP15Z. 87                             <br>        :B   ..............  Pq.  :B. B:                            <br>        B7  ............... :B  .  YB :B                            <br>       .B. ...............  ,B   .  Bi LB:                          <br>       :B  ...............   B: . . vM  ,M2                         <br>       :B  .........   .. .BBu   ..  B7   ZN                        <br>        B.  .......     .  kBY;j, .  .BL   B:                       <br>        25 .......  LB1    .ir,7M,     BY :B                        <br>         B, ....... iBBi LM5jJUYBB,     MkO.                        <br>         ;B  .......  : FE::,iL0YrB. .   B,                         <br>          LM.   .....  1M,ru0kY.  rG  .  :B                         <br>           7B;   ....  BMFFL.     iBL ..  EB.                       <br>            .B1  ....   :      iPZY:: ... .7B:                      <br>              MY   . .     .rFX5i    .....  ,B                      <br>               B;       ,LqFJ:    .........  F1                     <br>                BEr77YXBU:.    ............  1F                     <br>                Br:LL:FB,:  . .............  B:                     <br>                FP     rYBv  ...........   .Bj                      <br>                 PMr:.   iM.  .......     7Mr                       <br>                  .7YPPi  5j           .iBk                         <br>                      .ZY:ZEY:,:::iiL15OBX0                         <br>                   .,,.,iS5BLBB25X1UYr.:B:PE7.                      <br>                  rrri:,Mqv:,vB..,,.,,.8O,:7GBU                     <br>                  :r;r:;EP2qXqY::::i:i,LNNEEPMr                     <br>                    ..,,,,::i::irir;ri;:,,,.                        <br>                                                                    <br>\") \n",
    "content.append(\"                                                                    <br>                                                                    <br>                                                                    <br>                                                                    <br>              .F2Uj.                                                <br>              ,BL,,Fq.                                              <br>                :LY ,M;                                             <br>             ii:.:78J Nr                                            <br>            BPLU1UYi0N:B7:vvYL7i:                                   <br>            iuYi..:qEMGS2Y7rr7rUFOk7                                <br>                 r2Yi             iXBr                              <br>               EG7       . .....    .G8                             <br>             7Br    ...............   JB                            <br>            5B   ...................   PB.                          <br>           LB   ...................  .X5SUBk                        <br>           B:  ...................  ,B7    B:                       <br>          YM  ...................   B7  .  N:                       <br>          X1 ...............       JB  .   M,                       <br>          0U  ......... .... .i  iB1.  ..  B:                       <br>          F0  ........    .. SBB .uFv. .. .BB.                      <br>          iB  ....... iMr     BB.   X8  . .ZrE                      <br>           B7  ...... ;BB, ,7rii.   .B. .  0iM,                     <br>           ,B   .....  i5 2BSUJvFMS  Bi .  iBX                      <br>            LM   .....   Xk:.:iYXBu  PL  . ,B                       <br>             UM   ..... GBLU0EGY:    21 ..  M                       <br>              kM   ...  iUvr:      :7BL  .  Z.                      <br>               Bi . . .        ,7P0XL:  ..  B5                      <br>               iB.        .rUZZkvi     ... .JB:                     <br>                UBJr7r7JX5qur,      .......  iB                     <br>                Xj.vv7jBr      ............  :B                     <br>                FS     258, . .............  SF                     <br>                 MP:    ,B:  ...........    UB                      <br>                  i5Ok.  rX   . .....     :ZP                       <br>                     iB: vB            .:PE.                        <br>                      ,ZSUrMXYr:iiirUUSGBNE                         <br>                    .,...:vM7BMYu1UYvr.iB:q07.                      <br>                  :77i::B8Y:,LB...,.,,.GO,:7EBF:                    <br>                  .iirirZP1qXqY::i:i:i,LNq0EXB7.                    <br>                     ...,,:ii::irir;ri;:,,,..                       <br>                                                                    <br>\") \n",
    "content.append(\"                                                                    <br>                                                                    <br>                                                                    <br>                    vq1F,                                           <br>                    BE,,5X.                                         <br>                     .7J ,O:                                        <br>                  iii:.i8: M:                                       <br>                 BGLrLLLvBL.B                                       <br>                 :Yrr::;PFBNBEF5X1UYi.                              <br>                     ,rYj7.. ..,.,:rYq07                            <br>                  .UPL:               ,2B:                          <br>                 kEi     . ...........  .BJ                         <br>                ML  ...................   Bj                        <br>               B;  .....................   B,                       <br>              8Y  .......................  7M                       <br>             ,B  .........................  M,;0EPFr                <br>             F1 ................. .....     ZBL.  .M1               <br>             87  ............. .   .... .i:Nq      Pq               <br>             NL ........    ..  ;i  ... UB77  . . iB                <br>             FU  ......  r.  . .BBL  ..  u5  . . ,B:                <br>             :B  ...... iBB,    YB; ...   BL  . .Br                 <br>              Mr ......  0B. YUUri   ... ,B. .  BL                  <br>              ,B. ......   7M17ir7PBY .  FM  . .B                   <br>               18  ..... .q8::rvYXSBL   .B,  . YZ                   <br>                B:  .... iBPPPSUji.     Mk  .  Bi                   <br>                55   . .   .         ,:FB  .  iB                    <br>                .B:           .:;71SZF5;  .   B;                    <br>                 BMUr;::ivL2FqNSL7:,     .   XM                     <br>                Lq :LLLOB7:,.         . ... :MB                     <br>                YM    .B:.     .............  B                     <br>                 MS.   :qB. ...............  iB                     <br>                  7E5.  .M   .............  :B:                     <br>                    ;B. .B    . ..... .   .JB,                      <br>                     JOLXGY,            .5N;                        <br>                      .:  .MBSYi;ir7UjUNBGG                         <br>                     ....rjMiBM7YuJYvr.rB,P07,                      <br>                   ivri:BMY::LB..,,.,,.GO,:7EBUi:                   <br>                   :irirGq5NXqY::i:i:i,vqqN0PBv:.                   <br>                      ....::i::iririri;:,,:..                       <br>                                                                    <br>\") \n",
    "content.append(\"                                                                    <br>                                                                    <br>                          :7i                                       <br>                         2BiLZi                                     <br>                          jU: 2S                                    <br>                       ,.   7j LF                                   <br>                      BkYYj7i8B 1i                                  <br>                      uur7;;r7XM:B                                  <br>                          :rqB5qNENu5Fj;,                           <br>                       LXkLi.      ..::L5Zj                         <br>                    ,X8L.           .     JBY                       <br>                   JB;   . .............    Z8                      <br>                  XM    ...................  XG                     <br>                 JM  . .....................  B7                    <br>                .B. ....................... . rB                    <br>                SU . .......................   B,                   <br>                B,  ............... .........  0r                   <br>               .B. ........  .....   ......... 2J                   <br>               .B   ......    ... ,v. .......  5L                   <br>                B. ...... .BB,    MBM  ....... Ej    7jJ77,         <br>                8L  ..... .BB:    rBJ .......  ,B  ,B1i:irFO:       <br>                .B  ...... .i,vqkkvi   .......  YGrM:      :B.      <br>                 NY .....   LNY:::rjX5. ......  .B:   . .   B:      <br>                 uF  ....  BBL7YYF1UXB. .. .    LB        :N5       <br>                 r8   . . .rJLj77;i,.         :2M.  .rUF5YBr        <br>                  B:                   ..:iY2NX7  :1PY. :r          <br>                 7GZkri,,,,.::iirrYuS50FXS57i   i0X:                <br>                LM  :Y7LJ551uuYY7vi:,,.        PP.                  <br>                8F     ,:               . .   kr                    <br>                .B   rBMr. . . .............  Or                    <br>                 Nr   BZ  .................   B.                    <br>                ,B   EvO7  . . ...........   B2                     <br>                iBvrBF  Bu      . . . .    iBv                      <br>                  7L.    YXv,            7SJ                        <br>                           NBqSYYvLvLjSkBGB                         <br>                     .,:,7UM:8E:7JYYL7,rB,kZL,..                    <br>                   .77i:BMY::LB..,,.,..Z8,:rNBji7.                  <br>                   .:;irGq1NXqY::::i::,vPPPqkMLi,                   <br>                       ...::i::irir;rii::::..                       <br>                                                                    <br>\") \n",
    "content.append(\"                                                                    <br>                                                                    <br>                               ;UUr                                 <br>                               B5.jB.                               <br>                                Lj .B,                              <br>                           ,77;: .F..B                              <br>                           BMvL7v:JB rZ                             <br>                            :i:r7jY1B,B                             <br>                             ,rrL5B50SMSjYi.                        <br>                         :Uq27:,       .,iLPPY                      <br>                       ,Mq;                 .7M2                    <br>                      uB:    ............. .   kB                   <br>                     qZ   ...................   vB                  <br>                    1M   .....................   qS                 <br>                   :B   .......................  .B                 <br>                   8Y  .........................  Or                <br>                   B. ................. ........  Er                <br>                  ,B  ......     ...     .......  Er                <br>                  i8  .....   ;.  .  ,:  ......   Mi                <br>                  :B  ...... SBB    .BBi ....... .M.                <br>                   B, .....  rBv  . .BB. ....... :B                 <br>                   0L  .....   i20PXJ:   ....... .B                 <br>                   Nv .....  LEj;:::7UF,  ......  kJ                <br>                   M,  . .  :BEU2S5FU2BB .......  7Z                <br>              ,.   52     .   ::i:i:i::   . .     0:    .           <br>           iNPU1qFLkB0r,.                      :7BBYvUXP20k,        <br>          jM:    ,:  :1qNSk55U1Jj7L7L7LvYvYuFkZXJ, .::    iMU       <br>         iB    .         .,:,::::;i;i;iii;i:,.              Br      <br>         iB       ...                             .         M7      <br>          UMii. iPF055EE   .................  rM5Pkkkqi .i:NZ       <br>           .LSMqP.    .B. .................   BY     .qP8XY:        <br>                       5M  . . ...........   JB        .            <br>                        5M;     . . . .    .N8                      <br>                         .Yur.           iJj:                       <br>                           YBGM2uYJYjYUNBOB                         <br>                      .:.72B:0k:rv777r,7B:PZL:.,                    <br>                    :7riBMJ::LB,.,:,:..Z8,:rNBJ:7i                  <br>                    .iir8N5NXqY::::i::,vPXPXFMLii,                  <br>                          ,::::iririri;:::::. .                     <br>                                                                    <br>\") \n",
    "content.append(\"                                                                    <br>                                                                    <br>                               .12P.                                <br>                               LB,,Bj                               <br>                                 2; MU                              <br>                           rkJvL,.jr B:                             <br>                           SB7vLLLiBr,B                             <br>                             ..:,LLYB:B.                            <br>                            .,r;7jOq0XMFjYi.                        <br>                         :UN1v:,.      .,iLPPY                      <br>                       ,Mq;                 .7M2                    <br>                      uB:    ............. .   kB                   <br>                     qZ   ...................   vB                  <br>                    1M   .....................   qS                 <br>                   :B   .......................  .B                 <br>                   8Y  .........................  Or                <br>                   B. ................. ........  Er                <br>                  ,B  ......     ...     .......  Er                <br>                  i8  .....   ;.  .  ,:  ......   Mi                <br>                  :B  ...... SBB    .BBi ....... .M.                <br>                   B, .....  rBv  . .BB. ....... :B                 <br>                   0L  .....   i20PXJ:   ....... .B                 <br>                   0v .....  LEj;:::7UF,  ......  kJ                <br>                   B,  . .  :BEU2S5FU2BB .......  7O                <br>                   qk     .   ::i:i:i::   . .     Br                <br>                    XF:..                      .;N7                 <br>                     YBBqSk55U1Jj7L7L7LvYvYuFSNBBi                  <br>                  ,SPY.  .,:,::::;i;i;iii;i:,.  .U0Y.               <br>              YX5Nqi                              .7G1U27           <br>             Bj,..       . .................         ,,:kB          <br>            N5    .   i0i .................   ZS:        PN         <br>            Bi      :8Y8O    . ...........   uBrk8.      :B         <br>            jB.   . B:  1M;     . . . .    .qG   7B      GX         <br>             LM5YOZMY    .YUr.           iJj:     5MGPYuZ1          <br>               ,:.         YB8M2uYJYjYUNBOB          .i,            <br>                       ..r1B:0k:rv777r,7B:PZL,..                    <br>                     ;riBMJ::LB,.,:,:..Z8,:rNBJ:7.                  <br>                     :irMZ5NPqY::::i::,vPPPXSMLii.                  <br>                         .,::::iririri;::::,. .                     <br>                                                                    <br>\") \n",
    "\n",
    "\n",
    "def printString(instring):\n",
    "    for i in instring.split(\"<br>\"):\n",
    "        print(i)\n",
    "        "
   ]
  }
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