diff --git a/reinforcement_learning/her_deep_Q_bridge.ipynb b/reinforcement_learning/her_deep_Q_bridge.ipynb
index 349b7c2..9b204cd 100644
--- a/reinforcement_learning/her_deep_Q_bridge.ipynb
+++ b/reinforcement_learning/her_deep_Q_bridge.ipynb
@@ -64,7 +64,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 138,
+   "execution_count": 183,
    "metadata": {
     "scrolled": false
    },
@@ -155,8 +155,8 @@
     "        self.state[np.split(self.location, 2)] = 1\n",
     "        self.det_valid_actions()\n",
     "        \n",
-    "        return np.concatenate((self.state.ravel(), [self.deploy], scale_down(self.location, 0, max(self.height, self.length)), \n",
-    "                                   scale_down(self.goal, 0, max(self.height - 1, self.length - 1))))\n",
+    "        return np.concatenate((self.state.ravel(), [self.deploy], scale_down(self.location, 0, max(self.height, self.length) - 1), \n",
+    "                                   scale_down(self.goal, 0, max(self.height, self.length) -1)))\n",
     "    \n",
     "    def view(self):\n",
     "        s = np.array(self.state, dtype=object)\n",
@@ -174,8 +174,8 @@
     "        if np.all(self.location == self.goal) and self.state[np.split(self.location, 2)]:\n",
     "            r = r + self.compute_reward()\n",
     "            done = True\n",
-    "            return np.concatenate((self.state.ravel(), [self.deploy], scale_down(self.location, 0, max(self.height, self.length)), \n",
-    "                                   scale_down(self.goal, 0, max(self.height - 1, self.length - 1)))), r, done\n",
+    "            return np.concatenate((self.state.ravel(), [self.deploy], scale_down(self.location, 0, max(self.height, self.length) -1), \n",
+    "                                   scale_down(self.goal, 0, max(self.height, self.length) - 1))), r, done\n",
     "                    \n",
     "        self.det_valid_actions()\n",
     "        if len(self.valid_actions) == 0:\n",
@@ -471,7 +471,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 185,
    "metadata": {
     "scrolled": false
    },
@@ -480,358 +480,62 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "0.171960320003 max 6\n"
+      "lastloc [0 3] [ 3 12]\n",
+      "(83,) (83,)\n",
+      "[ 0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          1.          1.          1.\n",
+      "  1.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.23076923  0.23076923  0.25        1.        ]\n",
+      "(83,) (83,) [ 0.    0.25]\n",
+      "[ 0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          1.          1.          1.\n",
+      "  1.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.          0.          0.          0.          0.\n",
+      "  0.          0.          0.23076923  0.23076923  0.          0.25      ]\n",
+      "[ 0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.\n",
+      "  0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.\n",
+      "  0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.\n",
+      "  1.    1.    1.    1.    0.    0.    0.    0.    0.    0.    0.    0.    0.\n",
+      "  0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.\n",
+      "  0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.\n",
+      "  0.    0.    0.    0.    0.25]\n"
      ]
     },
     {
      "data": {
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\n",
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2bNC9996r1q1ba9GiRaYjoYg7dOiQEhIStH79er3wwguFZqTzqSsGMjIyTEdCEffrr78qJiZGmzZt0rJly5SYmGg6EoCzQJkCQsx5552n1NRU3X///Wrbtq2SkpJMR0IRlTvSOS0tTbNmzVL37t1NR/pX8q4YaNiwISsGkG9+/vlnRUdH6/3331dycrISEhJMRwJwlihTQAgqW7as1q1bJ5fLpfbt22vevHmmI6GIKSojnU9dMbB+/XrTkVDE7N27V1FRUfroo4+UkpKiRo0amY4E4F+gTAEhqkyZMlqzZo2ioqLUqVMnzZ4923QkFBEHDhxQgwYN5PF4NH/+/EI/0jnvioHGjRtrzZo1piOhiNizZ48iIyP12WefadWqVYqLizMdCcC/RJkCQljp0qW1evVqxcbGqkuXLnrppZdMR0IhlzvS+bXXXlNSUpLatm1rOlJA5F0xkJiYqJUrV5qOhELuxx9/VGRkpL788kutXr1adevWNR0JgB8oU0CIK1WqlFauXKn69eure/fumjFjhulIKKSK+kjnvCsGmjVrpuTkZNORUEjt3r1bERER+vrrr7V27VrFxsaajgTAT5QpACpZsqReffVVNWzYUL169dLzzz9vOhIKmbwjnZcsWVJkRzrnXTHQokULLVu2zHQkFDL//e9/5XK5tG3bNq1fv15RUVGmIwE4B5QpAJKkEiVKaMWKFYqPj9cjjzyiyZMnm46EQuLUkc5NmzY1HSlfnbpiYPHixaYjoZDYsWOHXC6Xtm/frtTUVLlcLtORAJwjyhSAk4oXL67ly5crMTFR/fr108SJE01HQpAL1ZHOuSsG/vOf/6hNmzZasGCB6UgIcj/88INcLpd27typtLQ0PfDAA6YjAQgAyhSAPylWrJgWL16sZs2a6fHHH9f48eNNR0KQ2rt3r6Kjo0N2pHPuioHw8HC1a9dO8+fPNx0JQer7779XeHi4du/erfT0dNWuXdt0JAAB4jQdAEDwKVasmBYtWiSHw6FBgwbJ6/VqyJAhpmMhiOzZs0fR0dH64osvtHLlStWrV890JCPKlCmjtWvXKj4+Xh07dpTP51OnTp1Mx0IQ2bZtmyIiIvTLL78oIyNDd999t+lIAAKIMgXgtJxOp5KSkuR0OvXkk0/K6/Vq+PDhpmMhCPz444+KiorS1q1bT47WD2W5KwYSEhLUuXNneb1edevWzXQsBIFvvvlGERER2rdvnzIzM1WrVi3TkQAEGGUKwBk5nU7NmzdPDodDI0aMkM/n08iRI2VZluloMGT37t2KjIzUt99+q7Vr1zKJ7A+5KwYSExPVvXt3+Xw+PfTQQ6ZjwaCtW7cqIiJCv//+u7KysnT77bebjgQgH1CmAPwth8Oh2bNny+FwaPTo0fL5fHrqqacoVCHov//9ryIjI/X9999r3bp1ioiIMB0pqOSuGGjatKl69uwpn8+nhx9+2HQsGPDll18qMjJShw8fVnZ2tm677TbTkQDkE8oUgH/kcDj08ssvy+Fw6Omnn5bX69W4ceMoVCFkx44dioyM1I4dO5SamsoksjMoUaKEkpOT1bx5c/Xu3Vter1ePPvqo6VgoQJ9//rkiIyPl9Xrldrt18803m44EIB9RpgCclbCwML3wwgtyOp2aMGGCvF6vJk6cSKEKAT/88IMiIiK0a9cupaWlMYnsH+SuGGjZsqX69u0rn8+nxx57zHQsFIBPP/1UkZGRsm1bbrdbN954o+lIAPIZZQrAWQsLC9P06dPlcDg0adIk+Xw+TZ48mUJVhH3//feKiIjQnj17lJ6ernvvvdd0pEKhWLFiWrJkiR588EH1799fPp9PAwYMMB0L+ejjjz9WVFSUwsLC5Ha7dcMNN5iOBKAAUKYA/CuWZWnq1KlyOBx67rnn5PV69fzzz1OoiiBGOp+bvCsGBg4cKK/Xq8GDB5uOhXzw4YcfKioqSsWKFZPb7dZ1111nOhKAAkKZAvCvWZalyZMny+l06tlnn5XP59P06dMVFsYe8KKCkc6BkbtiwOFwaMiQIfJ6vRo2bJjpWAig999/X1FRUSpVqpTcbreqV69uOhKAAkSZAuAXy7L0zDPPyOFwaMKECfL5fHrhhRcoVEXA1q1bFRkZqQMHDjDSOQCcTqfmz58vh8Oh4cOHy+fzacSIETybWwS89957io6OVtmyZeV2u3X11VebjgSggFGmAPjNsiyNGzdOTqfz5JS/3Kl/KJwY6Zw/HA6H5syZI6fTqVGjRsnn82n06NEUqkLs3XffVWxsrM4//3y53W5deeWVpiMBMIAyBeCcWJalp5566k9/JM6ZM4dCVQjljnQ+duyYsrOzdcstt5iOVKTkXTEwZswYeb1ejR07lkJVCL399tuKjY1VxYoVlZ2drWrVqpmOBMAQyhSAc2ZZlkaOHPmnlzHNmzdPTic/YgqLU0c633TTTaYjFUm5KwYcDofGjx8vn8+nCRMmUKgKkY0bN6pu3bqqVKmS3G63Lr/8ctORABjEXzoAAmbYsGFyOBx68skn5fP5lJSURKEqBBjpXLDCwsI0Y8YMOZ1OTZw4UV6vV5MmTaJQFQJvvPGG6tWrp0suuURut1tVqlQxHQmAYfyVAyCghgwZIqfTqUGDBsnn82nhwoUqVqyY6Vg4A0Y6m5F3xcCUKVPk9Xo1depUClUQe+2111S/fn1VrlxZbrdbl112melIAIIAZQpAwA0cOFAOh0OPP/64fD6fFi9erOLFi5uOhVO8//77io6OVsmSJRnpbEDuioG8S7CnTZvGRMwg5Ha71aBBA11++eXKzs7WpZdeajoSgCBBmQKQL/r37y+n06m+ffuqefPmWrZsGYUqiDDSOThYlqWJEyfK6XSeXDEwc+ZMClUQyczMVKNGjXTllVcqOztbF198selIAIIIZQpAvnn00UflcDj0yCOPKDExUStWrFCJEiVMxwp5uSOdy5UrJ7fbrauuusp0pJB2phUDFCrz0tPTFR8fr+rVqyszM1MXXXSR6UgAggxlCkC+6t27txwOh3r16qUmTZooOTlZJUuWNB0rZL399tuqU6eOKlSoILfbzUjnIJG7YsDhcGj06NHy+XyaPXs2KwYMSk1NVUJCgq6//nplZmbqwgsvNB0JQBCiTAHIdz179pTT6VT37t3VuHFjpaSkqFSpUqZjhRxGOgc3y7I0atQoOZ3OP60YoFAVvLVr1yoxMVE33nijMjIyVLFiRdORAAQpyhSAAtGtWzc5HA517dpVjRo10qpVq1S6dGnTsUIGI50Lj1NXDLzyyiusGChAq1atUrNmzXTrrbcqPT1dFSpUMB0JQBDjpzOAAtO5c2c5HA516tRJDRs21OrVq1WmTBnTsYq8vCOds7OzVblyZdOR8A+GDBkih8OhJ554Qj6fTwsWLGDFQAFISUlR8+bNdfvttystLU3ly5c3HQlAkKNMAShQHTp0kNPpVPv27RUXF6e1a9eqbNmypmMVWYx0LrwGDRokp9P5pxUDFKr8s3z5crVq1Up33nmnNmzYoPPPP990JACFAKOCABS4Nm3aKCkpSa+//rrq1aun/fv3m45UJGVlZSkuLk7VqlWTx+OhSBVC/fv316RJk5ScnKzmzZvr6NGjpiMVSUuXLlWrVq10zz33KC0tjSIF4KxRpgAY0bp1ay1atEhvvvmm6tatq3379pmOVKSkp6erQYMGuvrqq+V2u9mNU4j17dtXU6dO1cqVK9W0aVMdOXLEdKQiZdGiRWrdurXuu+8+paamqly5cqYjAShEKFMAjGnRooWWLl2qd955R7Gxsfrtt99MRyoSUlNT1ahRI1133XVyu93sxikCevfurenTp2vNmjVq0qSJDh8+bDpSkfDKK6+obdu2euCBB5SamqrzzjvPdCQAhQxlCoBRiYmJWrZsmTZv3qyYmBj9+uuvpiMVamvXrlXjxo1Vo0YNZWVlsRunCOnZs6defPFFrV+/XgkJCTp06JDpSIXa3Llz1aFDB0VERGjdunUMwwHgF8oUAOMSEhKUnJys999/X9HR0fr5559NRyqUVq9erSZNmujmm29WZmYmu3GKoG7dumnWrFlKS0tTfHy8Dh48aDpSoTRr1ix17txZ0dHRWrNmDWsaAPiNMgUgKDRq1EgpKSn66KOPFBUVpb1795qOVKikpKQoMTFRNWvWVGZmpi644ALTkZBPOnfurDlz5igzM1MNGzakUP1LL774orp27ao6depo1apVLBAHcE4oUwCCRlxcnFatWqXPPvtMkZGR2rNnj+lIhcKKFSvUrFkz1apVS+np6ezGCQEdOnTQ/Pnz5fF4FBcXpwMHDpiOVChMnz5dPXr0UFxcnFJSUihSAM5ZwMqUZVkOy7K2WJa1NlDnBBB66tatq9WrV+vLL79UZGSkfvzxR9ORgtrSpUvVsmVL3X333Yx0DjFt27ZVUlLSyaXMrBj4e1OnTtXDDz+shg0bKjk5WSVLljQdCUAREMhnpvpI+iyA5wMQomJjY7V27Vp9/fXXioiI0K5du0xHCkp5Rzpv2LCBkc4hKHfFwMaNG1WvXj1WDJzB5MmT1adPHzVu3FgrVqxQiRIlTEcCUEQEpExZllVFUpykWYE4HwBERUVp/fr12rZtmyIiIvTf//7XdKSgkpSUxEhnSPrfioG3335bderUYcXAKZ555hn169fv5OTQ4sWLm44EoAgJ1DNTUyQNkHQ8QOcDALlcLm3YsEHbt2+Xy+XSjh07TEcKCvPmzVP79u3lcrkY6QxJ/1sxsGnTJsXGxrJi4A/jxo3TgAED1KJFCy1evFjFihUzHQlAEXPOZcqyrAaSfrRte/M/HNfNsqxNlmVt4k3lAM7W/fffr7S0NO3cuVPh4eHavn276UhGzZo1S506dWKkM/4id8XAli1bWDEg6amnntITTzyh1q1ba8GCBRQpAPkiEM9M1ZbUyLKsbZKWSIq0LGvBqQfZtv2Sbdu1bNuuValSpQBcFkCoqF27ttLT07Vnzx65XC59//33piMZcepIZ4oUTpV3xUB0dHTIrhgYOXKkhg4dqrZt2+qVV16R0+k0HQlAEXXOZcq27Sds265i23Y1SS0lZdu23eackwFAHvfee68yMjK0d+9ehYeHa9u2baYjFagZM2aoR48eql+/PiOd8bdyVwx8+umnioqK0k8//WQ6UoGxbVvDhg3TiBEj1KFDB82dO1cOh8N0LABFGHumABQad911lzIzM/Xrr78qPDxc33zzjelIBWLq1Knq1auXGjZsqFdffZWRzvhHuSsGvvjii5BZMWDbtoYMGaLRo0erc+fOmj17NkUKQL4LaJmybdtj23aDQJ4TAPKqVauWsrKydODAAYWHh2vr1q2mI+UrRjrDX7krBrZu3aqIiAjt3r3bdKR8Y9u2Bg4cqLFjx6pbt2566aWXFBbG48UA8h8/aQAUOrfffruys7N16NAhuVwuffnll6Yj5YuJEycy0hnnJO+KAZfLVSRXDNi2rf79++uZZ55Rz549NXPmTIoUgALDTxsAhdKtt94qt9uto0ePyuVy6fPPPzcdKaDGjRunxx9/XM2bN2ekM86Jy+VSampqkVwxYNu2Hn30UU2aNEm9e/fWtGnTKFIAChQ/cQAUWjfffLPcbrd8Pp9cLpc+/fRT05ECInekc6tWrbRw4UKKFM7ZAw88cHLFgMvl0g8//GA60jk7fvy4Hn74YU2dOlWPPvqonnvuOVmWZToWgBBDmQJQqN14443yeDyyLEsul0sff/yx6UjnJHekc5s2bZSUlMRIZwRM7oqB3bt3Kzw8vFCvGDh+/Lh69uypGTNmqH///po0aRJFCoARlCkAhd4NN9wgj8cjp9OpiIgIffjhh6Yj/Wt5Rzq3b99e8+bNYxIZAq4orBg4fvy4unfvrhdffFGDBg3ShAkTKFIAjKFMASgSrrvuOuXk5KhEiRKKiIjQli1bTEc6a6eOdJ4zZw5FCvnm7rvvLrQrBnw+nzp37qxZs2ZpyJAhevrppylSAIyiTAEoMqpXr66cnByVKVNGUVFR2rx5s+lI/4iRzjAhd8XA/v375XK5CsWKAZ/Pp44dO2revHkaPny4Ro8eTZECYBy/sQEUKVdffbVycnJUrlw5RUdH69133zUd6YyXlPiaAAAgAElEQVTyjnR+6KGHGOmMApW7YuDgwYNyuVz66quvTEc6I6/Xq3bt2ikpKUmjRo3SiBEjKFIAggK/tQEUOVdeeaU8Ho8qVKig6OhovfXWW6Yj/cWpI52nT59OkUKBu+22206uGAgPD9cXX3xhOtJfeL1etWnTRosWLdKYMWM0dOhQ05EA4CR+cwMokqpVqyaPx6MLL7xQsbGx2rhxo+lIJ9m2rd69ezPSGUEh74qB8PDwoFoxcOzYMbVq1UpLly7V+PHjNXjwYNORAOBPKFMAiqzLL79cOTk5uvjii1WnTh298cYbpiOdHOk8ffp0PfbYY4x0RlDIu2IgIiIiKFYMHD16VC1atNCKFSv07LPPasCAAaYjAcBfUKYAFGlVqlRRTk6OLrvsMtWtW1c5OTnGsuSOdH7hhRc0cOBAPfPMMxQpBI3cFQMOh8P4ioEjR46oWbNmSklJ0ZQpU9SvXz9jWQDg71CmABR5l112mTwej6pWrar69evL7XYXeAafz6cuXbqcHOk8duxYihSCTt4VA5GRkXr//fcLPMORI0eUmJio1atXa9q0aerTp0+BZwCAs0WZAhASLr30Unk8HlWrVk1xcXHKzMwssGv7fD516tRJc+fO1bBhwxjpjKCWu2KgdOnSioyM1HvvvVdg1z58+LASEhK0bt06zZw5U7169SqwawOAPyhTAELGxRdfLLfbrWuuuUYNGzZUWlpavl8zd6TzK6+8opEjR2rkyJEUKQS9vCsGoqKitGnTpny/5qFDhxQfH6/U1FS99NJL6tGjR75fEwDOFWUKQEi56KKLlJ2dreuuu+7kH275xev1qm3btidHOg8bNizfrgUEWu6KgfLlyys6Olpvv/12vl3r4MGDatiwoTIyMjR79mx17do1364FAIFEmQIQci688EJlZWWpRo0aaty4sdauXXvmg4cPl+67T3K5pLN5Q/6XX0rFisnr8ah169ZasmSJxo0bx0hnFErVqlVTTk6OKlasqJiYGL355punP/DTT098j7hc0r33ShUr/vPJN2+WYmPle+ABrb7+emVnZ2vu3Lnq1KlTIL8EAMhXlCkAIalixYrKysrSLbfcoiZNmmjVqlV/Pej996V33pE2bpSSkqSzeSP86NE6fv/9GjZsmJYvX66JEydq4MCBgf8CgAKSd8VAbGzs6VcM1KgheTwnPvr2lZo1+/uTHj0qDRqkA/PnK9Ky9OCOHXrllVfUvn37/PgSACDfUKYAhKwKFSooIyNDNWvWVNOmTfXqq6/++YAvv5TuuOPE51WrSt9+Kx05cuYTvvOOfJUqybN1q157/XVNnjxZjz32WP59AUABOXXFwGuvvXbmgxcskNq0+fsTvvmmjpUsqQ9uvFEjXntN6UOHqs0/3QcAghBlCkBIK1++vNLT01WrVi01b95cy5cv/9+NN9104pH2o0elDz6QfvhB+uWXM57LN2qU2n7yib7fvl19H31Ujz76aP5/AUABybtioF69evJ4PH89aO9e6fPPpdq1//ZcB7/+Wj9mZKjBb7/pwAsvKGrJEsm28yc4AOQjyhSAkHf++ecrLS1N99xzj1q1aqUlS5acuKFGDal1aykmRnruOenGG6VKlU57jqMpKVr0xRdanJ6ue+65R4mJiQX4FQAFI++Kgfr16ysrK+vPByxdeuIlfn8zsfLXX3/VExMmKOfoUc1evlwNu3eXLrxQ2rMnn9MDQOBRpgBAUrly5ZSamqr77rtPDz74oBYuXHjihp49pZwcqV8/6eabJYfjL/c9dOiQFg0YoMpbt+r7GjV0/fffS/37S999V8BfBZD/8q4YaNCggdLT0/9348KFf/sSv19++UUxMTFa9PXXqnfNNWrSqJG0f7/0449nN7QCAIKM03QAIKTt2yfVrSsVLy4dPCiNHStFRZlOFbLOO+88paamqkGDBmrXrp18Pp/aLVggeb0n/tCbPv0v9zl48KDi4+OV9fXXmjV7tiI7dZI6dJC6dJGuuKLgv4iirFQp6e67T3zetq3UubPZPCEsd8VAdHS0GjVqpJSUFNW77roT7ym84YbT3ufnn39WTEyMPv74YyWnpKjCL7+cmP537Jg0fvxpH6gAgGBHmQJMKltWeu01yemUvvlGatFCevdd06lCWpkyZbRu3To1atRIHTp0kG/2bHXs2PG0x/7+++9q2LChPB6P5s6d+79JZPPmFVzgUFK58on3sCEo5K4YiImJUePGjZWcnKwGZ1ju+9NPPykmJkafffaZUlJSVL9+/RM3tG1bgIkBIPB4mR9gUljYiSIlnXiW6pZbzOaBJKl06dJas2aNoqOj1alTJ82aNesvxxw4cED169dXTk4OI50Lyq5dUni41KSJtG2b6TTQ/1YM3HzzzWrSpIlWr179l2P27NmjyMhIffbZZ1q1atX/ihQAFAGUKcC0HTuk//xHio2VEhJMp8EfSpUqpVWrVqlu3brq2rWrXnzxxZO37d+/X/Xq1dMbb7yhBQsWMNK5oGzbduL9a9278xK/IFKhQgVlZmaqZs2aSkxMVEpKysnbdu/erYiICH311Vdau3at6tSpYzApAAQeZQowrXJl6Y03TiyHffhh02mQR6lSpZSSkqK4uDj16NFD06dP1759+1SnTh29+eabWrx4sVq1amU6Zui48MIT/61Th+EeQSbvioFmzZppxYoV2rVrlyIiIvTNN99o3bp1io6ONh0TAAKOMgWYlHcBbLly0nnnmcuC0ypZsqSSk5PVsGFDPfzww7rlllv07rvvaunSpWrevLnpeKHjwAHJ5zvx+Ycf/q9YIWjkrhi4++671aJFC91xxx36/vvvlZqaqsjISNPxACBfMIACMOnjj6W+fU9MsTp2TJoyxXQinEaJEiX08ssv6/rrr9d3332njh07skeqoH366YmX95133okdRnledongUa5cOc2ZM0c1a9bUzp07NXToUIWHh5uOBQD5hjIFmHTHHSem+SGo/fzzz6pfv74OHjyoe++9V3PnztUNN9ygxx9/3HS00HHXXdKWLaZT4B9s375dcXFxcjqdqlmzpsaMGaPq1aurLVP7ABRRvMwPAP7G3r17FRUVpY8//lgpKSnKyclR8+bNNWDAAI0dO9Z0PCBofPfddwoPD9eePXuUnp6uN954Qy6XS+3bt9c81gUAKKJ4ZgoAzmDPnj2Kjo7WF198cXKynyQtXLhQDodDgwcPls/n05NPPmk4KWDWt99+q4iICP3222/KzMzUnXfeKUlas2aNGjdurE6dOsnr9apLly6GkwJAYFGmAOA0du/eraioKH399ddas2aNYmJiTt7mdDqVlJQkp9OpoUOHyuv1avjw4bIsy2BiwIyvv/5akZGR2r9/vzIzM3XHHXecvK106dJatWqVmjRpoq5du8rn86l79+4G0wJAYFGmAOAUu3btUmRkpLZt26Z169addhKZw+HQ3Llz5XA4NHLkSPl8Po0aNYpChZCydetWRURE6ODBg8rKylLNmjX/ckzuioGmTZuqR48e8vl86tmzp4G0ABB4lCkAyGPnzp2KjIzU9u3blZqa+reTyBwOh2bPni2Hw6GnnnpKPp9PY8aMoVAhJHz55ZeKiIjQ0aNHlZ2drVtvvfWMx+auGGjWrJl69eolr9erRx55pADTAkD+oEwBwB927NihiIgI7dy5Uxs2bND999//j/cJCwvTSy+9JIfDobFjx8rr9Wr8+PEUKhRpn3/+uSIiIuTz+eR2u3XTTTf9431KlCihFStWqEWLFurTp498Pp/69u1bAGkBIP9QpgBAJ0Y6R0RE6Mcff1RaWppq16591vcNCwvTzJkz5XQ69cwzz8jr9erZZ5+lUKFI+vTTT0++9NXj8ahGjRpnfd/ixYtr2bJlatWqlfr16yefz6f+/fvnV1QAyHeUKQAh77vvvlNERIT27t2r9PR03XPPPf/6HGFhYZo2bZocDocmT54sn8+nKVOmUKhQpHz88ceKjIyU0+lUdna2rr/++n99jmLFimnx4sVq06aNHn/8cXm9Xg0aNCgf0gJA/qNMAQhpuSOdf/31V2VkZOiuu+7y+1yWZem5556Tw+HQlClT5PV69fzzzyssjJV+KPw++OADRUdHq3jx4nK73br22mv9PlexYsVOrhh44okn5PV6WTEAoFCiTAEIWXlHOmdlZf1ppLO/LMvSpEmT5HQ6NXHiRPl8Ps2YMYNChUJty5Ytio6OVunSpeV2u3XNNdec8zlPXTHg8/k0fPjwAKQFgIJDmQIQks5mpLO/LMvShAkT5HQ6NW7cOPl8Pr344osUKhRKmzdvVnR0tMqVKye3262rrroqYOfOu2JgxIgR8vl8GjlyJC+PBVBoUKYAhJzckc5Hjhz5x5HO/rIsS08//bQcDofGjBkjr9erWbNmyeFwBPxaQH555513FBsbq/Lly8vj8ahatWoBv0beFQOjR4+W1+tlxQCAQoMyBSCknDrS+eabb863a1mWpdGjR8vpdJ5c7Jv7KDwQ7N566y3VqVNHFStWlNvt1hVXXJFv1zp1xYDP59O4ceMoVACCHmUKQMjIHels27bcbrduvPHGfL+mZVkaMWKEHA6Hhg0bJp/Pp/nz58vp5McvgtfGjRtVt25dXXTRRXK73apatWq+XzN3xYDD4dCECRPk9Xo1ceJEChWAoMZvcwAhIXeks8PhkNvt1g033FCg1x86dKgcDoeGDBkin8+nBQsWUKgQlF5//XXVr19fl156qdxutypXrlxg1w4LC9P06dPldDo1adIk+Xw+TZ48mUIFIGjxmxxAkZd3pHN2drauu+46IzkGDx4sp9OpgQMHyufzadGiRSpWrJiRLMDpeDwexcXFqWrVqnK73br00ksLPMOZVgxQqAAEI8oUgCItd6RzqVKl5Ha7Vb16daN5BgwYIKfTqccee0w+n09LlixR8eLFjWYCJCk7O1sNGjRQtWrVlJ2drUsuucRYltOtGJg+fToTMQEEHcoUgCJr8+bNiomJUdmyZeV2u3X11VebjiRJ6tevnxwOhx599FE1a9ZMy5YtU4kSJUzHQgjLyMhQo0aNdM011ygrK0sXXXSR6UgnVww4HA6NHz9eXq+XFQMAgg5lCkCRlHeks9vt1pVXXmk60p/06dNHTqdTDz/8sBITE7VixQqVLFnSdCyEoA0bNqhx48a67rrrlJmZqUqVKpmOdJJlWRo7dqycTqfGjBkjn8+nl19+mYmYAIIGZQpAkVOQI53PRa9eveRwOPTQQw8pISFBKSkpFCoUqPXr1yshIUE1atRQRkaGLrzwQtOR/uJ0KwbmzJlDoQIQFChTAIqUvCOds7Ozdfnll5uO9Ld69Oghh8Ohbt26KT4+XitXrlSpUqVMx0IIWLNmjZo2baqbbrpJGRkZuuCCC0xHOqPcFQNhYWEaPny4vF4vKwYABAV+CgEoMvKOdM7OzlaVKlVMRzorXbt2lcPhUJcuXdSwYUOtXr1apUuXNh0LRdjKlSvVvHlz3XbbbUpLS1OFChVMRzorw4YNk9Pp1JAhQ3T8+HElJSVRqAAYxU8gAEVCTk6O4uLiVKVKFWVnZ+uyyy4zHelf6dSpkxwOhzp27Ki4uDitXbtWZcqUMR0LRVBycrJatmypO+64Qxs2bFD58uVNR/pXTl0xsHDhQlYMADCGMgWg0Ms70jkrK8vIbpxAaN++vRwOh9q3b6/69etr3bp1Klu2rOlYKEKWL1+uVq1a6e6771ZqaqrKlStnOpJfBgwYIIfDof79+8vr9bJiAIAxzBcFUKhlZGQoLi5OV111lbElo4HUpk0bLVy4UP/3f/+nunXrav/+/aYjoYhYvHixWrVqpXvvvVcbNmwotEUq12OPPaYpU6YoJSVFzZs319GjR01HAhCCKFMACq20tDQ1bNhQ1atXl9vt1sUXX2w6UkC0bNlSixcvPjmV8LfffjMdCYXcggUL1KZNG9WuXVupqak677zzTEcKiD59+uj555/XqlWrlJiYqCNHjpiOBCDEUKYAFErr169XfHy8rr/+emVnZwfVbpxAaNasmZYuXap3331XderU0a+//mo6Egqp+fPnq127dgoPD9f69euL3EtHH374Yc2YMUNr165VQkKCDh8+bDoSgBBCmQJQ6KxZs0YJCQm68cYblZ2dHZS7cQIhd5nve++9p5iYGP3yyy+mI6GQmTNnjjp27KioqKgiPdTkoYce0ksvvaTU1FTFx8fr0KFDpiMBCBHnXKYsyyppWdY7lmV9YFnWJ5ZljQxEMAA4ndyX89xyyy3KzMwM6t04gRAfH6/k5GR9+OGHio6O1s8//2w6EgqJl19+WZ07d1ZMTExIjNvv2rWrZs+erYyMDDVq1EgHDx40HQlACAjEM1NHJEXatn2rpNsk1bUs654AnBcA/uTVV19V06ZNVbNmTWVkZBSa3TjnqmHDhkpJSdEnn3yiqKgo/fTTT6YjIci98MIL6tatm+rVq6dVq1aFzCLoTp06ae7cucrKylKDBg30+++/m44EoIg75zJln3Dgj38W++PDPtfzAkBey5cvV/PmzXXnnXcqPT290O3GOVf169fXqlWr9NlnnykyMlJ79uwxHQlBatq0aXrooYfUoEEDpaSkqGTJkqYjFaj27dvrlVdeUU5OjurXr68DBw78850AwE8Bec+UZVkOy7Lel/SjpAzbtt8OxHkBQJKWLFmiVq1a6Z577lFaWprOP/9805GMqFOnjtauXauvvvpKERER2r17t+lICDLPPfecevfurfj4eK1YsUIlSpQwHcmINm3aaMGCBXrjjTdUr149VgwAyDcBKVO2bfts275NUhVJd1mWddOpx1iW1c2yrE2WZW3iEVUAZ2vhwoV68MEHVbt2bW3YsKHIjHT2V3R0tNatW6dvvvlGERER2rVrl+lICBKTJk3So48+qiZNmmjZsmUhW6RytWrVSosXL9abb76pOnXqaN++faYjASiCAjrNz7btXyV5JNU9zW0v2bZdy7btWkVthDGA/DF//ny1bdu2yI509ldkZKRSU1P1/fffy+VyaefOnaYjwbAJEyboscceU7NmzbRkyRIVL17cdKSg0Lx585MrBmJjY9nZBiDgAjHNr5JlWeX/+LyUpGhJn5/reQGEttyRzpGRkUV6pLO/wsPDlZqaqh07dsjlcmnHjh2mI8GQp59+WgMHDlTLli21aNEiFStWzHSkoJKYmKjly5ezYgBAvgjEM1OXSnJblvWhpHd14j1TawNwXgAhKu9I5zVr1hT5kc7+uv/++7Vhwwbt2rVL4eHh2r59u+lIKGCjR4/WkCFD9OCDDyopKUlOp9N0pKDUuHFjJScn64MPPmDFAICACsQ0vw9t265p2/Yttm3fZNv2qEAEAxCackc6161bN6RGOvurdu3aSk9P1549exQeHq7vvvvOdCQUANu2NXz4cA0bNkzt2rXT/PnzKVL/4NQVA3v37jUdCUAREND3TAHAuZg+fboeeughxcXFaeXKlSE30tlf99xzjzIyMvTzzz8rPDxc3377relIyEe2bWvo0KEaNWqUOnbsqDlz5sjhcJiOVSiwYgBAoFGmAASF5557Tg8//LAaNWqk5OTkkJ9E9m/dddddysrK0r59++RyufT111+bjoR8YNu2Bg8erDFjxqhLly6aNWsWRepfqlOnjtasWaMvv/ySFQMAzhllCoBxuSOdExIStHz5coqUn+644w5lZWXpwIEDcrlc+uqrr0xHQgDZtq0BAwZo3Lhx6tGjh1588UWFhfFr3B8xMTGsGAAQEPwUBmBU7kjnpk2baunSpYx0Pkc1a9ZUdna2Dh8+LJfLpS+++MJ0JASAbdvq16+fJk6cqF69emnGjBkUqXPEigEAgcBPYgDGjB07VgMHDlSLFi20ePFiRjoHyK233iq3261jx47J5XLp88/ZVlGY2batPn36aMqUKerTp4+ef/55WZZlOlaRwIoBAOeKMgXAiNGjR2vw4MFq3bq1FixYwCSyALvpppvk8Xhk27ZcLpc++eQT05Hgh+PHj6tXr156/vnn1a9fP02ePJkiFWCsGABwLihTAAqUbdsaMWKEhg0bprZt2+qVV16hSOWTGjVqyOPxKCwsTBEREfroo49MR8K/cPz4cT300EOaOXOmBgwYoIkTJ1Kk8gkrBgD4izIFoMDYtq1hw4Zp5MiR6tChg+bOncsksnx2/fXXy+PxqFixYoqMjNQHH3xgOhLOwvHjx9WtWze99NJLeuKJJzRu3DiKVD5jxQAAf1CmABSI3JHOTz31lLp06aLZs2dTpArItddeq5ycHJUsWVKRkZHasmWL6Uj4Gz6fT507d9bs2bM1dOhQjRkzhiJVQFgxAODfokwByHd5Rzp3796dkc4GXHPNNcrJyVHZsmUVGRmpzZs3m46E0/D5fOrYsaPmzZunESNGaNSoURSpAnbqioGtW7eajgQgiPHXDIB8Zdu2HnvsMU2cOFE9e/bUzJkzKVKGXHXVVcrJydH555+vqKgovfPOO6YjIQ+v16t27dopKSlJo0eP1vDhw01HClm5KwYOHTqk8PBwffnll6YjAQhS/EUDIN/kjnSePHmyHnnkEU2bNo1H2Q2rVq2acnJydMEFFygmJkZvvfWW6UiQdOzYMT344INatGiRxo4dqyeffNJ0pJCXd8VAeHg4KwYAnBZlCkC+yDvSuW/fvpoyZQpFKkhcccUVysnJUaVKlRQbG6v/+7//Mx0ppB07dkytWrXSsmXL9Mwzz2jQoEGmI+EPN998859WDHz66aemIwEIMpQpAAGXd6Tz448/rmeffZYiFWSqVq2qnJwcXXLJJapTp45ef/1105FC0tGjR9W8eXMlJydr0qRJ6t+/v+lIOEXuigHLsuRyufTxxx+bjgQgiFCmAARU3pHOgwYN0vjx4ylSQapy5cryeDyqUqWK6tatK4/HYzpSSDly5IiaNm2qlStXaurUqerbt6/pSDiDvCsGIiIiWDEA4CTKFICAyTvS+cknn9TTTz9NkQpyl112mTwej6644grVr19fWVlZpiOFhMOHD6tJkyZas2aNpk+frt69e5uOhH9w3XXXsWIAwF9QpgAExKkjnUePHk2RKiQuueQSeTweXXXVVWrQoIEyMjJMRyrSDh8+rISEBK1fv14vvPCCevbsaToSztI111wjj8ejMmXKKCoqihUDAChTAM5d3pHOo0aNYqRzIXTRRRfJ7XarevXqatiwoTZs2GA6UpF06NAhNWrUSGlpaZo1a5a6d+9uOhL+pauvvlo5OTkqV64cKwYAUKYAnJu8I52ffvppDR061HQk+KlSpUrKzs7WDTfcoPj4eK1fv950pCLl4MGDatCggTIzMzVnzhx17tzZdCT46corr2TFAABJlCkA5yDvSOcJEyboiSeeMB0J5+jCCy9UVlaWbrrpJjVu3Fhr1qwxHalI+P333xUXFyePx6P58+erQ4cOpiPhHJ26YmDjxo2mIwEwgDIFwC9Hjx5VixYtlJycrGeffVaPP/646UgIkAsuuECZmZm69dZblZiYqJUrV5qOVKjt379f9erV02uvvaakpCS1bdvWdCQESNWqVeXxeFgxAIQwyhSAfy13pHNKSoqee+459evXz3QkBFiFChWUkZGh22+/Xc2aNVNycrLpSIXSvn37VK9ePW3cuFGLFi1S69atTUdCgFWpUkUej0eVK1dWvXr1lJOTYzoSgAJEmQLwrxw+fFiJiYlas2aNpk2bpkceecR0JOST8uXLKz09XXfeeadatGihZcuWmY5UqPz222+qU6eO3n77bS1ZskQtWrQwHQn5JHfFwOWXX6569eopOzvbdCQABYQyBeCs5Y50XrdunWbOnKlevXqZjoR8Vq5cOaWlpenee+9V69attXjxYtORCoVff/1VsbGx2rRpk5YtW6amTZuajoR8dskll8jtduuqq65SXFwcKwaAEEGZAnBW8o50fvnll9WjRw/TkVBAzjvvPKWmpqp27dpq06aNFixYYDpSUPv5558VHR2tLVu2KDk5WQkJCaYjoYBcfPHFf1oxkJaWZjoSgHxGmQLwj/KOdJ49e7a6dOliOhIKWNmyZbV+/XqFh4erXbt2mj9/vulIQWnv3r2Kjo7WRx99pFdffVWNGjUyHQkFjBUDQGihTAH4W7kjnd1ut+bNm6eOHTuajgRDypQpo7Vr1yoqKkodO3bUnDlzTEcKKj/99JOioqL06aefauXKlWrQoIHpSDAkd8XAjTfeqISEBFYMAEUYZQrAGZ060rldu3amI8Gw0qVLa/Xq1YqJiVHnzp310ksvmY4UFH788UdFRkbqiy++0OrVq1WvXj3TkWBY7oqBW265RYmJiVq1apXpSADyAWUKwGnlHem8cOFCPfjgg6YjIUiUKlVKq1atUr169dS9e3fNnDnTdCSjdu/erYiICG3dulVr165VbGys6UgIEnlXDDRt2lSvvvqq6UgAAowyBeAvfvvtN9WtW1dvvfWWFi9erJYtW5qOhCBTsmRJpaSkKC4uTj179tS0adNMRzLiv//9r1wul7Zt26Z169YpKirKdCQEmfLlyystLU133nmnmjdvruXLl5uOBCCAKFMA/iR3pPO7776rZcuWqVmzZqYjIUiVKFFCycnJio+PV+/evTVlyhTTkQrUjh075HK5tH37dqWmpioiIsJ0JASp888//+SKgVatWrFiAChCKFMATvrll18UExOjLVu2aMWKFWrSpInpSAhyJUqU0LJly5SQkKC+ffvq2WefNR2pQPzwww9yuVzauXOn0tLS9MADD5iOhCDHigGgaKJMAZB0YqRzVFSUPvzwQ7366quKj483HQmFRPHixbV06VI1bdpU/fv314QJE0xHylfff/+9wsPDtXv3bqWnp6t27dqmI6GQYMUAUPQ4TQcAYN5PP/2k6Ohoff7550pJSVH9+vVNR0IhU+uSq0AAABavSURBVKxYMS1evFhOp1MDBw6U1+vV4MGDTccKuG3btikiIkK//PKLMjIydPfdd5uOhEImd8VAfHy8OnbsKJ/Pp06dOpmOBcBPlCkgxO3Zs0dRUVH66quvtGrVKtWpU8d0JBRSTqdTSUlJCgsL05AhQ+T1ejVs2DDTsQLm22+/lcvl0r59+5SZmalatWqZjoRCKnfFQOPGjdW5c2f5fD517drVdCwAfvj/9u49WO6yzvP450k3IVyVGhiBIFdvsI7XODpYzHoScJDLMCDDJcKqq0YsUBQLlnARloiIVyi1KDMoyCAOBQILhpuQEymV0Yk4isiygo4YyDLRLWVwi8vpPPtHEjci4fKkc7rPOa9XVapy+jS/3/ePX5PzPv3r5xFTMIU99NBDmTNnTu67775cd9112XvvvQc9EhNct9vNJZdckk6nkzPOOCO9Xi9nnnlmSimDHm293HfffRkZGckjjzySW2+9Na95zWsGPRIT3JotBg4++ODMmzcvvV4vxxxzzKDHAp4jMQVT1PLlyzN79uzcf//9WbRoUWbPnj3okZgkOp1OLrroonS73Zx11lnp9XpZsGDBhA2qn/3sZxkZGcmjjz6axYsX51WvetWgR2KSmDFjRq655pq89a1vzfve976MjY3luOOOG/RYwHMgpmAKevDBBzMyMpIHHnjgDx+Ghn7qdDq58MIL0+l0cvbZZ2dsbCznnHPOhAuqe+65JyMjI3niiSeyePHivOIVrxj0SEwya7YYOOyww/L+978/vV4vxx9//KDHAp4lMQVTzLJlyzJ79uwsX748N9xwQ/baa69Bj8QkNW3atHzxi19Mp9PJueeem16vl0984hMTJqjuvvvuzJ49OytXrszo6Ghe/vKXD3okJqmNN944V1xxRY444oh88IMfTK/XywknnDDosYBnQUzBFHL//fdnZGQkK1asyE033ZQ999xz0CMxyU2bNi0XXHBBut1uPvWpT2VsbCyf+cxnhj6o7rrrrsyePTvTpk3LkiVLsvvuuw96JCa5NVsMzJ07Nx/+8IczNjaWk046adBjAc9ATMEU8ctf/jIjIyP5zW9+k5tvvjlveMMbBj0SU0QpJZ/73OfS6XRy3nnnpdfr5fzzzx/aoLrzzjsze/bsbLTRRhkdHc1LX/rSQY/EFLFmi4FOpzOptxiAyURMwRTwi1/8IiMjI/nd736XW265Ja973esGPRJTTCkl5513XjqdTj772c9mbGwsn//85zNt2nDtHf+jH/0oc+bMyYwZMzI6OpoXv/jFgx6JKabb7ebSSy9Np9PJqaeeml6vl9NPP33QYwHrIKZgklt7Sedbbrklr33tawc9ElNUKSWf/vSn0+1288lPfjK9Xi8XXHDB0ATVHXfckX322SebbbZZRkdHs9tuuw16JKaotbcY+MhHPpKxsbFJscUATEZiCiYxSzozbEopOffcc9PtdnPOOeek1+tl4cKFAw+qpUuXZp999smWW26Z0dHR7LrrrgOdBybbFgMwWYkpmKTuueeezJ49O48//rglnRkqpZScffbZ6Xa7WbBgQXq93h+WUR+E73//+3nzm9+crbbaKqOjo9l5550HMgc82ZO3GOj1evnYxz4mqGCIiCmYhNYs6dzr9SzpzFAqpeSss85Kp9PJmWeembGxsVx88cXjHlS333579t1332y99dYZHR3NjjvuOK7nh2ey9hYDH//4xzM2NjahthiAyU5MwSSzZknnUkqWLFmSPfbYY9AjwTqdccYZ6XQ6Of3009Pr9XLJJZek2x2ff5q+853vZN999822226b0dHR7LDDDuNyXniuJuoWAzAViCmYRO68887MmTMn3W43ixcvzste9rJBjzQ5/c3fJHfckRx/fHLaaYOeZsI77bTT0u12M3/+/PR6vVx66aXZaKONNug5b7vttuy3336ZOXNmFi9enJkzZ27Q801ZP/xhctxxSaeTdLvJhRcmPo/WZKJtMQBThZiCSWLNks4bb7xxRkdH85KXvGTQI01eX/pScsstybJlg55k0jj55JPT6XRy0kknpdfr5Wtf+9oGC6olS5Zk//33z4477pjFixdnu+222yDnIcl22yU33phssUVy/fXJGWck//iPg55qwpooWwzAVCKmYIKavmB6nlj5RHZ9/q65Yq8rss8++2TTTTfN6OhoXvSiFw16vMnN7WAbxIknnphut5sTTjghhx12WC6//PJMnz59vY55xBVH5PKfXv6Hr+fuMDdXv//q7LLLLlm8eHFe8IIXrO/YPJ1tt/3/f58+fdW7U6yXDbXFwLKHl2X3L+yeTulkbOVYzvjPZ+TEN57Yp6lh8vKrDJigrjr8quy141557LHHMmfOnGy++eb51re+JaSY0D70oQ/l/PPPzzXXXJNDDz00jz322Hodb85uc3Lb229LPaNm5012zmX3X5bddtsto6OjQmo8/f73yamnJif64bwf1mwxMH/+/CxcuDDz5s3LypUr1+uY226+bVacuCK/Pfm3+cbcb+TMb53Zn2FhkvMrIpigDnjJATn9xtPz4PIHs9Pzd7KkM5PGBz7wgXQ6nRx33HE55JBD8vWvfz0zZsxoOtZ7XvOeJMmNN96Yf7v335Ltk9HR0Wy99dZ9nJin9cQTyeGHJ/PnJxbE6Zs1Wwx0Op189KMfXe8tBrrTuulOW/Vj4UOPPJSZW/gcITwbYgomqNtvvz0//vGP03leJ0uWLMlOO+006JGgb4499th0u90cc8wxOfjgg3PVVVdlk002aTrWokWLcuAxBybvSt7+n94upMbTypXJUUclf/d3q/7QV6WULFiwIN1uN2eeeWZ6vV4uuuii5qBa+uDSzP7K7Dzy+CM57a8trgPPhpiCCWjNks7Tj5qeP9/+z4XUeHvPe5Lvfjd57LFk6dLkmmsGPdGk9N73vjedTifz5s3LQQcdlGuuuSabbrrpczrGtddem4P+y0HJB5PdttotF//9xRtmWJ7aVVclixYlDz2UXHpp8hd/kXzuc4OeatJ58hYDX/nKV5q2GJi1/aw8PP/hfPv+b+dNF78pZ42ctQGmhclFTMEEs2ZJ5+233z5bvXKr/PqxXw96pKnnH/5h0BNMGe9+97vT6XTyrne9KwceeGCuu+66Zx1UV199dQ45/JDklOTPNvmz3Hv8vRt4Wv7EoYeu+sMGd9ppp6XT6eSUU07J2NjYc95i4OFHH86WM7ZMkmy3+XZ/uOUPeHpeKTCBrL2k8wNHP5B7H7o3NTUzPjojj5726KDHgw3ine98Z7rdbt7xjndk//33z3XXXZfNN9/8af+bK6+8MkceeWSmf2h6Hi+P5zeP/iblv5dVK5V9ZGycJofxNX/+/HS73aYtBq6959oce8OxmVampbeylwUjCzbwtDA5iCmYIG699dYceOCB2WWXXXLrrbdm27WXHIZJ7uijj06n08nRRx+d/fbbL4sWLcoWW2zxlM+9/PLL87a3vS2vf/3rc8NpN2TLLbcc52lhcFq3GDjqlUflqFceNQ4TwuRiaXSYAG6++eYccMABf1jSWUgxFc2dOzeXXXZZvvvd7+Ytb3lLHn744T95zmWXXZa5c+dmzz33zI033iikmJL6vcUAsG7r/c5UKeWFSS5Jsm2SlUkW1lrPX9/jwlRVSlnn14sXL84222wz3iPB0Dj88MPT6XRy5JFH5nnPe94ffW/t18oNN9yQzTbbbLzHg6Gx9hYD69paYNq0aen1euM8GUwu/bjNbyzJh2utd5RStkjyg1LKN2utP+3DsYG1CClIDj300HQ6nRxyyCHrfI6Qgj/eYuCprO9Gv0AfYqrWujzJ8tV//49Syt1JZiYRU9Bnb3rTmwY9AkwIXisAjIe+fmaqlLJzklcn+d5TfG9eKWVpKWXpihUr+nlaAACAcVdqrf05UCmbJ/lWkrNrrVc93XNnzZpVly5d2pfzwmTz5M9Mra1fr1eYDLxW4NnxWoHnrpTyg1rrrGd6Xl/emSqlbJTk60m++kwhBQAAMBmsd0yVVb/u+FKSu2utn1n/kQAA6Jdp0576x711PQ48e/1Yze+NSY5Ocmcp5V9XP3ZKrfX6Phwbphy3XMCz47UCz47lz2HD6cdqft9Osu6bcQEAACYh7+8CAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANOhLTJVSvlxK+fdSyk/6cTwAAIBh1693pi5Osm+fjgUAADD0+hJTtdbbkvyffhwLAABgIvCZKQAAgAbjFlOllHmllKWllKUrVqwYr9MCAABsEOMWU7XWhbXWWbXWWdtss814nRYAAGCDcJsfAABAg34tjf61JLcneWkpZVkp5V39OC4AAMCw6vbjILXWI/txHAAAgInCbX4AAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAg77EVCll31LKPaWUe0spJ/fjmAAAAMNsvWOqlNJJ8oUkb0myR5IjSyl7rO9xAQAAhlk/3pn6yyT31lp/Xmt9PMk/JTmoD8cFAAAYWv2IqZlJfrXW18tWPwYAADBp9SOmylM8Vv/kSaXMK6UsLaUsXbFiRR9OCwAAMDj9iKllSV641tc7JHnwyU+qtS6stc6qtc7aZptt+nBaAACAwelHTP1LkheXUnYppUxPckSSa/twXAAAgKHVXd8D1FrHSinHJbkpSSfJl2utd633ZAAAAENsvWMqSWqt1ye5vh/HAgAAmAj6smkvAADAVCOmAAAAGogpAACABmIKAACggZgCAABoIKYAAAAaiCkAAIAGYgoAAKCBmAIAAGggpgAAABqIKQAAgAZiCgAAoIGYAgAAaCCmAAAAGogpAACABmIKAACggZgCAABoIKYAAAAaiCkAAIAGYgoAAKCBmAIAAGggpgAAABqIKQAAgAZiCgAAoIGYAgAAaCCmAAAAGogpAACABmIKAACggZgCAABoIKYAAAAaiCkAAIAGYgoAAKCBmAIAAGggpgAAABqIKQAAgAZiCgAAoIGYAgAAaCCmAAAAGogpAACABmIKAACggZgCAABoIKYAAAAaiCkAAIAGYgoAAKCBmAIAAGggpgAAABqIKQAAgAZiCgAAoIGYAgAAaCCmAAAAGogpAACABmIKAACggZgCAABoIKYAAAAaiCkAAIAGYgoAAKCBmAIAAGggpgAAABqsV0yVUv6+lHJXKWVlKWVWv4YCAAAYduv7ztRPkhyS5LY+zAIAADBhdNfnP6613p0kpZT+TAMAADBBjNtnpkop80opS0spS1esWDFepwUAANggnvGdqVLKLUm2fYpvnVpr/R/P9kS11oVJFibJrFmz6rOeEAAAYAg9Y0zVWvcej0EAAAAmEkujAwAANFjfpdEPLqUsS/JXSRaVUm7qz1gAAADDbX1X87s6ydV9mgUAAGDCcJsfAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANxBQAAEADMQUAANBATAEAADQQUwAAAA3EFAAAQAMxBQAA0EBMAQAANBBTAAAADcQUAABAAzEFAADQQEwBAAA0EFMAAAANSq11/E9ayookvxz3Ew+vrZP8etBDMJRcG6yLa4N1cW3wdFwfrItr44/tVGvd5pmeNJCY4o+VUpbWWmcNeg6Gj2uDdXFtsC6uDZ6O64N1cW20cZsfAABAAzEFAADQQEwNh4WDHoCh5dpgXVwbrItrg6fj+mBdXBsNfGYKAACggXemAAAAGoipIVBK+WQp5X+WUn5cSrm6lPL8Qc/EYJVS9i2l3FNKubeUcvKg52F4lFJeWEoZLaXcXUq5q5Ry/KBnYriUUjqllB+WUr4x6FkYHqWU55dSrlz988bdpZS/GvRMDIdSyodW/3vyk1LK10opMwY900QipobDN5O8vNb6iiT/K8n8Ac/DAJVSOkm+kOQtSfZIcmQpZY/BTsUQGUvy4Vrr7knekORY1wdPcnySuwc9BEPn/CQ31lpfluSVcY2QpJQyM8kHksyqtb48SSfJEYOdamIRU0Og1npzrXVs9Zf/nGSHQc7DwP1lkntrrT+vtT6e5J+SHDTgmRgStdbltdY7Vv/9P7LqB6KZg52KYVFK2SHJ/kkuHPQsDI9SypZJ/jrJl5Kk1vp4rfW3g52KIdJNskkppZtk0yQPDnieCUVMDZ//muSGQQ/BQM1M8qu1vl4WPyzzFEopOyd5dZLvDXYShsh5SU5KsnLQgzBUdk2yIslFq28BvbCUstmgh2Lwaq0PJPlUkvuTLE/yu1rrzYOdamIRU+OklHLL6ntRn/znoLWec2pW3cLz1cFNyhAoT/GYZTf5I6WUzZN8PckHa60PD3oeBq+UckCSf6+1/mDQszB0uklek+SCWuurk/w+ic/jklLKVll198suSbZPslkp5ajBTjWxdAc9wFRRa9376b5fSnl7kgOSzKnWq5/qliV54Vpf7xBvubOWUspGWRVSX621XjXoeRgab0zyt6WU/ZLMSLJlKeXSWqsfjFiWZFmtdc272FdGTLHK3kl+UWtdkSSllKuS7Jnk0oFONYF4Z2oIlFL2TfLfkvxtrfX/DnoeBu5fkry4lLJLKWV6Vn0Q9NoBz8SQKKWUrPrcw9211s8Meh6GR611fq11h1rrzln1/43FQookqbX+7yS/KqW8dPVDc5L8dIAjMTzuT/KGUsqmq/99mROLkzwn3pkaDp9PsnGSb666jvPPtdZjBjsSg1JrHSulHJfkpqxaVefLtda7BjwWw+ONSY5Ocmcp5V9XP3ZKrfX6Ac4EDL/3J/nq6l/S/TzJOwc8D0Og1vq9UsqVSe7Iqo+a/DDJwsFONbEUd5QBAAA8d27zAwAAaCCmAAAAGogpAACABmIKAACggZgCAABoIKYAAAAaiCkAAIAGYgoAAKDB/wMc4+ZI2YxMWgAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa70c571a90>"
+       "<matplotlib.figure.Figure at 0x7fa6aca999e8>"
       ]
      },
      "metadata": {},
      "output_type": "display_data"
     },
     {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.45821822148 max 6\n"
+     "ename": "ZeroDivisionError",
+     "evalue": "division by zero",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mZeroDivisionError\u001b[0m                         Traceback (most recent call last)",
+      "\u001b[0;32m<ipython-input-185-e2a20971af0c>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m    105\u001b[0m                 \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms_new\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    106\u001b[0m                 \u001b[0menv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mss\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow_structure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 107\u001b[0;31m                 \u001b[0;36m1\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    108\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    109\u001b[0m                 \u001b[0;32mif\u001b[0m \u001b[0mi\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mindex\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;31mZeroDivisionError\u001b[0m: division by zero"
      ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b5d0cc88>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.11455188288 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6bec63940>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "3.35875721064 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6be128c88>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.25851633209 max 9\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b5747e10>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.21851478584 max 9\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b4799dd8>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "4.34083728535 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6be475ef0>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.34288039892 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b5aeccf8>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "3.44586626525 max 9\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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79697EvAexBQAdJKyLHPQQQfl+OOPz6677ppzzjknCyzgr2Jmu+6667LJJpvki1/8YiZNmpQlllii7knA+/AnOAB0grIss99+++Wkk07KHnvskbPOOktIMce1116bTTfdNF/96ldz6623ZrHFFqt7EvAB+FMcAOaxsiyz995759RTT813v/vdnHHGGSmKou5ZNImrrroqm2++eQYMGJCbb745/fr1q3sS8AGJKQCYhzo6OrLHHnvkjDPOyL777ptTTz1VSDHH5Zdfni233DKrrbZaJk6cmI9+9KN1TwI+BDEFAPNIR0dHdtttt5x11lk58MAD8+Mf/1hIMcfYsWOz9dZbZ4011shNN92URRddtO5JwIckpgBgHujo6Mguu+yS0aNH59BDD83xxx8vpJjjoosuysiRI7P22mtnwoQJ6du3b92TgArEFAA02KxZs7LjjjtmzJgx+d73vpdjjjlGSDHHhRdemO222y6tra258cYb85GPfKTuSUBFYgoAGmjWrFn59re/nQsvvDBHHnlkjjrqKCHFHOedd1522GGHDBkyJNdff30WWWSRuicBc0FMAUCDzJw5MyNHjszFF1+co446KkcccUTdk2gi55xzTnbeeecMHTo048aNE1IwH+hZ9wAAmB/MmDEj2267ba644or86Ec/yqGHHlr3JJrIT3/60+yxxx5Zb731cvXVV2ehhRaqexLQAGIKAObSjBkzstVWW+Xqq6/OCSeckAMPPLDuSTSR008/PXvvvXeGDx+eK6+8Mr179657EtAgYgoA5sL06dPzrW99K7/4xS9y8sknZ9999617Ek3klFNOyX777ZeNNtool19+eXr16lX3JKCBPGcKACqaNm1aNttss/ziF7/IaaedJqR4m5NOOin77bdfNt1001xxxRVCCuZDYgoAKnjzzTezySab5Prrr89PfvKTfPe73617Ek3kuOOOy4EHHpgtttgil156aRZccMG6JwHzgJgCgA/pzTffzMYbb5zx48fn7LPPzh577FH3JJrI0UcfnUMPPTRbbbVVLrnkEiEF8zExBQAfwhtvvJENN9wwEydOzLnnnptdd9217kk0kVGjRuX73/9+Ro4cmYsuuig9e3p6OszP/BcOAB/Q66+/nuHDh6etrS1jxozJ9ttvX/ckmkRZljniiCNy1FFH5dvf/nbOO++89OjRo+5ZwDwmpgDgA3j11VczfPjw3H777fnZz36WkSNH1j2JJlGWZQ4//PAce+yx2XHHHTN69OgssIAH/0B3IKYA4H288sorWX/99fOrX/0qF110Ubbeeuu6J9EkyrLMwQcfnBNPPDG77LJLzjrrLCEF3UjD/msviqJHURT3FkVxQ6OOCQB1e/nllzNs2LDceeedGTt2rJBijrIsc8ABB+TEE0/MbrvtJqSgG2rkmam9kzyUZNEGHhMAavPSSy9l3XXXzZQpU3LZZZdls802q3sSTaIsy+yzzz45/fTTs9dee+W0005LURR1zwI6WUP++aQoik8kWT/JeY04HgDU7cUXX8w3v/nNTJkyJVdccYWQYo6yLLPXXnvl9NNPzz777COkoBtr1LnoU5MclKTj3a5QFMUuRVFMKYpiytSpUxt0swDQeC+88EKGDBmSe++9N1dddVU23njjuifRJDo6OrL77rvnzDPPzAEHHJCTTz5ZSEE3NtcxVRTFBkn+UZblPe91vbIsR5dlOaAsywFLLrnk3N4sAMwTzz//fIYMGZI//OEPueaaazJixIi6J9EkOjo6suuuu+bss8/OwQcfnBNOOEFIQTfXiOdMrZlkw6Io1kuyUJJFi6K4uCzLbRtwbADoNP/93/+dIUOG5OGHH84vfvGLDBs2rO5JNIlZs2Zl5513zgUXXJDDDz88Rx11lJAC5v7MVFmWh5Zl+YmyLJdPsmWSyUIKgK7mH//4RwYNGpQ//elPGTdunJBijlmzZmWHHXbIBRdcMOeNeYUUkHifKQDI3//+9wwaNChPPPFErr/++gwZMqTuSTSJmTNnZrvttsvYsWMzatSo/OAHP6h7EtBEGhpTZVm2J2lv5DEBYF569tlnM2jQoDz11FO58cYbM3DgwLon0SRmzpyZkSNH5rLLLssxxxyTww47rO5JQJNxZgqAbuvpp5/OoEGD8vTTT2f8+PFpaWmpexJNYsaMGdlmm21y5ZVX5vjjj89BBx1U9ySgCYkpALqlv/3tbxk4cGCee+653HTTTfnP//zPuifRJKZPn54tt9wy1157bU466aTsv//+dU8CmpSYAqDbeeqppzJw4MBMnTo1EydOzBprrFH3JJrE9OnTs8UWW2TcuHE59dRTs/fee9c9CWhiYgqAbuXJJ5/MwIED88ILL+SWW27JaqutVvckmsS0adOy2Wab5YYbbsgZZ5yRPffcs+5JQJOb65dGB4BOde+9yZprJmuvnQwalDz++Af+1scffzwtLS158cUXc+uttwqp+dE99yTf/GYycGDyIZ7n9Oabb2bjjTfODTfckJ/+9KdCCvhAnJkCoGv52MeSm25K+vZNxo9Pjjgiueii9/22xx57LAMHDsyrr76aSZMm5Wtf+1onjKVTTZ+eHHJIcs01s38+PqA33ngjG220UW6++eaMHj06O++88zwcCcxPnJkCoGtZZpn//T/KvXolPd//3wX//Oc/p6WlJa+//nomT54spOZXd92V9OmTbL317LOWv/zl+37L66+/ng033DC33HJLxowZI6SAD8WZKQC6ptdeSw4/PLnggve82p/+9KcMHDgwM2bMyOTJk/OlL32pkwbS6Z55Jrn//uS++5JXXkkGD04eeigpine8+muvvZbhw4envb09F1xwQbbbbrtOHgx0dWIKgK5nxozkW99KDj00WWWVd73aQw89lIEDB6ajoyNtbW35whe+0Ikj6XSLL56ssUay6KKzP/r3T6ZOTZZa6t+u+uqrr2b99dfPHXfckZ///OfZdtttaxgMdHUe5gdA19LRkWy7bbLRRrM/3sUDDzyQ1tbWJEl7e7uQ6g5WWy155JFk5szZZ6b+8Y9kiSX+7WqvvPJKhg0bll/96le55JJLhBRQmZgCaGaPPJIsuGByxx11L2ke11yT3HhjcvHFSWtrstde/3aV3//+92ltbU2PHj3S3t6eVd7j7FWX9OCDs3/vra3J6qu/YzB0S/36zf55aG1NhgxJjj8+6dHjbVd5+eWXM3To0Nx111259NJLs+WWW9azFZgveJgfQDM76qikpaXuFc1ls81mf7yL++67L0OGDEnv3r3T1taWz33uc504rpOsskrS3j7711dckUyeXOucpjJy5OyPd/DSSy9l6NChueeee3L55Zdn00037eRxwPxGTAE0q9/8ZvYr1/3Lv6zz7n73u99lnXXWySKLLJK2trZ89rOfrXvSvHfxxR/q/ZS6q3/+858ZOnRo7rvvvlx11VUZMWJE3ZOA+YCH+QE0q6OPnv2eOXwgU6ZMyeDBg9OnT5/cdttt3SOknn8+efjh2W9izLt64YUXMmTIkNx///25+uqrhRTQMGIKoBndeGMyYIDnwnxAd999d4YMGZJ+/frltttuyworrFD3pM5x+eXJ5pu/60t/kzz//PMZPHhwHnjggVx77bUZPnx43ZOA+YiH+QE0o/vum/2cmDvvTP7wh9lnHy6/PPnUp+pe1nTuuuuurLvuuunfv38mT56cT3Wn++iSS5Lzzqt7RdOaOnVqhgwZkj/96U8ZN25chg4dWvckYD4jpgCa0eGHz/5Ikm9/O9lpJyH1Du64444MGzYsyyyzTCZPnpzllluu7kmd5/HHk2nTkpVXrntJU/r73/+ewYMH57HHHssNN9yQIUOG1D0JmA+JKYBmd+GFdS9oSrfffnvWW2+9LLvsspk8eXKWXXbZuid1rhVWSKZMqXtFU3ruuecyaNCgPPnkk7nxxhszaNCguicB8ynPmQKgy2lvb8+wYcOy3HLLpb29vfuFFO/qmWeeSWtra5566qlMmDBBSAHzlJgCoEuZNGlS1ltvvSy//PJpa2vLxz72sbon0SSefvrptLa25umnn86ECRPS4j3agHlMTAHQZdx8883ZYIMN8pnPfCZtbW1ZZpll6p5Ek/jrX/+alpaWPPfcc7npppuy1lpr1T0J6AbEFABdwk033ZQNN9wwn/vc59LW1palllqq7kk0ib/85S9paWnJ1KlTc/PNN2dN77sFdBIxBUDTu/HGGzNixIisvPLKmTx5cvr371/3JJrEE088kZaWlrzwwgu55ZZb8h//8R91TwK6ETEFQFO77rrrsvHGG+eLX/xiJk2alCW8kTFvefzxx9Pa2pqXX345kyZNyqqrrlr3JKCbEVMANK1rr702m222Wb7yla/k1ltvzeKLL173JJrEo48+mpaWlrz66quZNGlSvv71r9c9CeiGxBQATemqq67KFltska9//eu55ZZb0q9fv7on0SQeeeSRtLS05I033sjkyZPz1a9+te5JQDclpgBoOpdffnm23HLLrLrqqpk4cWI++tGP1j2JJvHwww+npaUlM2bMSFtbW7785S/XPQnoxsQUAE1l7Nix2XrrrbP66qvnpptuyqKLLlr3JJrEgw8+mNbW1pRlmfb29nzxi1+sexLQzYkpAJrGRRddlJEjR2attdbKhAkT0rdv37on0ST++Mc/prW1NQsssEDa29uzyiqr1D0JQEwBdFVPPvlkFltssbS2tqa1tTUnnnjie17/zjvvzBe/+MUstNBC+dvf/va24wwaNChrrrlmfvSjH825/Kabbsrqq6+e1VdfPRMnTpxnv4//ceGFF2a77bZLa2trbrzxxvTp02ee3yZdw/3335+BAwdmwQUXTHt7e/7f//t/dU8CSJL0rHsAANV9/etfz6233vqBrvv5z38+d911VzbYYIO3XX7IIYdk1KhRWWuttTJkyJBssskmWXHFFXPQQQfl9ttvT5KsvfbaGTJkSHr06NHw30OSjBkzJjvvvHMGDx6ccePGZZFFFpknt0PXc++992bIkCFZZJFF0tbWls9+9rN1TwKYQ0wBdBPv9iIO9913X9Zaa60kyfrrrz8noD796U/PeQW9T3/603nsscfyuc99ruG7Ro8enV133TVDhw7Ntddem4UXXrjht0HXdM8992SdddZJ375909bWlhVWWKHuSQBvI6YAurB77rknra2tSZJRo0bl5JNPzksvvfS266y66qo54YQT3vUYHR0dc37dr1+/PPfcc3nhhRey2GKLve3y559/vrHjk/z0pz/NHnvskfXWWy9XX311FlpooYbfBl3Tb37zm3zzm99Mv3790t7enuWXX77uSQD/RkwBdGH/+jC/lpaWD32MBRb436fPvvTSS1l88cWz+OKL58UXX/y3yxvpjDPOyHe/+90MHz48V155ZXr37t3Q49N1/frXv87QoUOzxBJLpK2tLZ/61KfqngTwjsQUQBdTlkU6Onq949dGjBjxoc9MffnLX86dd96ZNdZYIxMmTMipp56aFVdcMU888URefvnlJMkTTzzR0OeqnHLKKdlvv/0yYsSIXHHFFenV651/P3Q/d955Z9Zdd90stdRSaWtry3LLLVf3JIB3JaYAupjHH981L/5z1Xf82rhx4971+x555JHsvvvuuf/++7PVVltl6623zm677ZZjjz02O+64Y6ZPn55hw4Zl5ZVXTpIce+yxGTp06JxfN+rFJ0466aQceOCB2XTTTXPppZdmwQUXbMhx6fp++ctfZr311svHPvaxtLW1Zdlll617EsB7Ksqy7PQbHTBgQDllypROv12A+cGiiz6QV175fGr443uuHXfccTn00EOz+eab55JLLhFSDfY/z59rb2+vdUcVt912W9Zff/184hOfyOTJk/Pxj3+87klAN1YUxT1lWQ54v+t5nykAOsUxxxyTQw89NFtuuWXGjh0rpJhj8uTJGTZsWD75yU+mvb1dSAFdhpgCYJ4bNWpUvve972XbbbfNRRddlJ49Pcqc2W655Zasv/76WWGFFdLe3p5lllmm7kkAH5iYAmCeKcsyP/jBD3LkkUdmu+22y4UXXiikmGPixIkZPnx4VlxxxbS1tWWppZaqexLAhyKmAJgnyrLM974sAApKAAAZHUlEQVT3vRx11FHZYYcdMmbMmIa9iAVd3/jx4zNixIisvPLKmTx5cpZccsm6JwF8aGIKgIYryzKHHHJIfvSjH2XnnXfOueeeK6SY4/rrr8/GG2+cz3/+85k0aVL69+9f9ySASsQUAA1VlmUOOOCAnHDCCdltt91y9tlnv+2Ngenexo0bl0033TRf+tKXcuuttzb8zaABOpO/3QBomLIss+++++bkk0/OnnvumTPPPFNIMcc111yTzTbbLF/72tdyyy23ZLHFFqt7EsBc8TccAA1RlmX22muvnHbaadl7771z+umnpyiKumfRJK688spsscUW+cY3vpGbb745/fr1q3sSwFwTUwDMtY6Ojuy+++4588wzs//+++eUU04RUsxx2WWXZauttsrqq6+eiRMnZtFFF617EkBDiCkA5kpHR0e+853v5Oyzz85BBx2UE088UUgxxyWXXJJtttkma665ZiZMmJC+ffvWPQmgYcQUAJXNmjUrO+20U84999wcdthhOe6444QUc/zsZz/LyJEj09LSkvHjx6dPnz51TwJoKDEFQCWzZs3KDjvskAsuuCA/+MEPcvTRRwsp5jj//POz/fbbZ/DgwbnhhhvykY98pO5JAA0npgD40GbOnJntttsuP//5zzNq1KiMGjVKSDHHueeemx133DHrrLNOrrvuuiyyyCJ1TwKYJ3rWPQCArmXmzJkZOXJkLrvsshx99NE5/PDD655EEzn77LOz2267ZdiwYbnmmmuy0EIL1T0JYJ4RUwB8YDNmzMg222yTK6+8Mscdd1wOPvjguifRRM4888zsueee2WCDDXLVVVeld+/edU8CmKc8zA+AD2T69OnZcsstc+WVV+bEE08UUrzNaaedlj333DMjRowQUkC34cwUAO9r+vTp2WKLLTJu3Liccsop2WeffeqeRBM5+eSTs//++2eTTTbJpZdeml69etU9CaBTODMFwHuaNm1aNt1004wbNy6nn366kOJtTjjhhOy///7ZfPPNc9lllwkpoFsRUwC8qzfffDObbLJJbrjhhpx55pnZa6+96p5EEzn22GNz8MEHZ8stt8zYsWOz4IIL1j0JoFOJKQDe0RtvvJGNNtoo48ePzznnnJPdd9+97kk0kaOOOiqHHXZYttlmm1x00UXp2dMzB4Dux598APyb119/PSNGjMikSZMyZsyY7LDDDnVPokmUZTnnvcX+67/+K+eff3569OhR9yyAWogpAN7mtddey4Ybbpi2trZccMEF2W677eqeRJMoyzI/+MEPcvTRR2f77bfPueeeK6SAbk1MATDHq6++mg022CC//OUv8/Of/zzbbrtt3ZNoEmVZ5rDDDstxxx2XnXbaKeecc04WWMCzBYDuTUwBkCR55ZVXst566+XOO+/MxRdfnK222qruSTSJsixz0EEH5aSTTsp3vvOdnHnmmUIKIGIKgCQvv/xyhg0blrvvvjuXXnpptthii7on0STKssz++++fU045JXvssUfOOOOMFEVR9yyApiCmALq5l156KUOHDs0999yTyy+/PJtuumndk2gSZVlm7733zhlnnJG99947p5xyipAC+D/EFEA39s9//jNDhw7NfffdlyuvvDIbbbRR3ZNoEh0dHdlzzz1z1llnZb/99stJJ50kpAD+hZgC6KZeeOGFrLPOOvnDH/6Qq6++OsOHD697Ek2io6Mju+22W0aPHp0DDzwwxx9/vJACeAdiCqAbev755zNkyJA8+OCDufbaa7P++uvXPYkm0dHRkV122SVjxozJoYcemmOOOUZIAbwLMQXQzUydOjVDhgzJn/70p4wbNy7rrrtu3ZNoErNmzcpOO+2UCy+8MN///vczatQoIQXwHsQUQDfyj3/8I4MHD86jjz6a66+/Puuss07dk2gSs2bNyvbbb5+LLrooRx55ZI444oi6JwE0PTEF0E0899xzGTx4cJ544onccMMNGTx4cN2TaBIzZ87Mdtttl7Fjx+aoo47K9773vbonAXQJ3nEP6FqGDk2WXDI5+ui6l3QpzzzzTFpbW/Pkk09m/Pjx819IvfxyssYaSWtrsuqqyaRJdS/qMmbMmJFtttkmY8eOzbHHHiukAD4EZ6aArmXMmOTWW5O//a3uJV3G008/nYEDB+aZZ57JTTfdlLXWWqvuSY3Xp09y++1Jz57J448n3/pW8tvf1r2q6c2YMSNbbbVVrr766px44ok54IAD6p4E0KWIKeiihl48NL979nfZe7W98721u9G/JH/iE3UvaHp7jd8rP/ntT+Z8vsRvlsi0Z6dl4sSJWXPNNWtcNg8tsMDsj2T2WaovfanePU1uzO/GZKfrd8pn/vGZPHb1Yzn55JOz77771j0LoMvxMD/oosZsOCYnrnNi3TNoQi3Lt+Sene/Jk99+Mr2f7Z3nv/58br755vk3pP7H008n//mfyTe/mWy8cd1rmtreN+2doqPIY48+ltNPP11IAVQkpqCL+sSiztDwzjZbZbMsPn3xtLa2ZuYbM9OjZ4+svvrqdc+a95ZdNrnjjuQ3v0n23LPuNU3rkJsPyYzXZqScUWbg4IHZa6+96p4E0GV5mB9AF1CWyR//OPvX06f3T5L84Q+zP//MZ5JFFvnf6z7++OMZOHBgXljghcxaYVYOW/OwTl5bg2nTkt69Z/960UWTvn3r3dOk3nzzzZzwqxNSXlCm966985Uvf6XuSQBdmjNTQNey887JiScmF16YbLRR3Ws6zaRJyYCvz8zWI/6SadOWTpJsPeIvWXuNV/PjE2fMud6jjz6alpaWvDjzxbz27dfyH8v+R44ZfExdszvPH/+YrL12MnBgsuGGyamn1r2o6bzxxhtZfv/lU75U5ryjzkuvXr3qngTQ5TkzBXQt555b94JafOMbycILzUzbwV9P/77PJ5l9tuoLhz+ZloGfSpI88sgjGThwYF6b9lpe/e6r+fRHP527drqrztmd5+tfn/1qfryj119/PcOHD8/fP//3LLDYAtntmd0yo2NGTrv7tKy53JrZdJVN654I0CU5MwVd1M7X7ZwT7zwxF953YTa6rPucoemuPvrRZIP1ZmXsr7aZc9lvH/9GpheLZ621kocffjitra2ZMWNGPv79j6ej7MjjLz6eYlSRhY9euMbl1O21117L+uuvn/b29vz8Gz/PrCNmZfr3p6dvr77Ze7W9hRTAXHBmCrqoczfsnmdourPtd/5I9t/1u/nuuqcnSS745W759g4L56GHHsygQYNSlmXa2try+c9/vualNItXXnkl66+/fn71q1/loosuytZbbz3nay8f+nKNywDmD85MAXQRAwcmL765dO598it5Y/pCufzuLbLa6o+ltbU1RVGkvb1dSDHHyy+/nGHDhuXOO+/M2LFj3xZSADTGXJ+ZKopiuSQ/T7JMko4ko8uyPG1ujwvd1TLLLJO///3v/3b50ksvneeee66GRTSLHj2K9FjgiJx16w5pXfmuzJz+y6yzzrAksx/mt9JKK9W8kLoURfGun1955ZXZbLPNOnsSQLdQlGU5dwcoio8l+VhZlr8riqJvknuSbFSW5YPv9j0DBgwop0yZMle3C/Orf/0/Rf/X3P73Stc2+2dj+Xyk92+z0sceyO+e/GmSK5L42eju/LkB0FhFUdxTluWA97veXJ+ZKsvy2STPvvXrV4qieCjJskneNaaAalpbW+ueQO2ezALF7/PA376aZNycS/1sAEDna+hzpoqiWD7JV5Pc/Q5f26UoiilFUUyZOnVqI28W5js9kvwhybF1D6EpvfLm91PmO0mm1T0FALq1uX6Y35wDFUWfJLclOaYsy2ve67oe5gfvriiK7JXkuLc+/1KSx976tYfrdG8eysW78bMB0Fgf9GF+DTkzVRTFgkmuTnLJ+4UU8N6WSHJMkkWS9EpyTr1zAAB4F3MdU8Xsfw4bk+ShsixPnvtJ0L2dudBCWfCtX/dMslqSdTP71fwAAGgejXjT3jWTjEzyh6Io7nvrssPKshzfgGND93LvvfnWvzxcp0+SCcsumzz+eD2baBoersW78bMBUI+5PjNVluUdZVkWZVl+qSzLr7z1IaTgwyrLZIcdkjff/PevvfhicrITvwAAzaShr+YHzIVLL03+/OfZUfWvXnstOeqo5NlnO38XAADvSExBM3j11WTPPWdH07uZOTPZZ5/O2wQAwHsSU9AMjjzynR/e939Nn55cf33y6193yiQAAN6bmIK6Pfpo8tOfJm+88f7XfeONZPvtk46Oeb8LAID3JKagbrvuOvus0wf1178m558/7/YAAPCBiCmo04QJsx+2N2vWB/+e115LDjhg9iv8AQBQGzEFdZk+Pdl55+T11z/8906blhx+eOM3AQDwgYkpqMspp1Q/u/Tmm8kFFyQPPtjYTQAAfGBiCurw7LPJD3/43i+F/n6mTUt22umd35cKAIB5TkxBHfbZJ5kxY+6O0dGR/P73ybhxjdkEAMCHIqags9199+z3i5rbmEpmn9n6znfe/z2qAABoODEFnamjI9lhhw/2nlIf1IsvJscf37jjAQDwgfSsewB0KzNnJgsvnCy3XGOP+89/NvZ4AAC8LzEFnalXr2TKlLpXAADQAB7mBwAAUIGYAgAAqEBMAQAAVCCmAAAAKhBTAAAAFYgpAACACsQUAABABWIKAACgAjEFAABQgZgCAACoQEwBAABUIKYAAAAqEFMAAAAViCkAAIAKxBQAAEAFYgoAAKACMQUAAFCBmAIAAKhATAEAAFQgpgAAACoQUwAAABWIKQAAgArEFAAAQAViCgAAoAIxBQAAUIGYAgAAqEBMAQAAVCCmAAAAKhBTAAAAFYgpAACACsQUAABABWIKAACgAjEFAABQgZgCAACoQEwBAABUIKYAAAAqEFMAAAAViCkAAIAKxBQAAEAFYgoAAKACMQUAAFCBmAIAAKhATAEAAFQgpgAAACoQUwAAABWIKQAAgArEFAAAQAViCgAAoAIxBQAAUIGYAgAAqEBMAQAAVCCmAAAAKhBTAAAAFYgpAACACsQUAABABWIKAACgAjEFAABQgZgCAACoQEwBAABUIKYAAAAqEFMAAAAViCkAAIAKxBQAAEAFYgoAAKACMQUAAFCBmAIAAKigITFVFMW6RVH8qSiKR4uiOKQRxwQAAGhmcx1TRVH0SHJmkmFJVkmyVVEUq8ztcQEAAJpZI85MrZrk0bIsHy/LcnqSy5KMaMBxAQAAmlYjYmrZJH/9P5//7a3L3qYoil2KophSFMWUqVOnNuBmAQAA6tOImCre4bLy3y4oy9FlWQ4oy3LAkksu2YCbBQAAqE8jYupvSZb7P59/IskzDTguAABA02pETP02yYpFUXy6KIpeSbZMcl0DjgsAANC0es7tAcqynFkUxZ5JJibpkeT8siwfmOtlAAAATWyuYypJyrIcn2R8I44FAADQFTTkTXsBAAC6GzEFAABQgZgCAACoQEwBAABUIKYAAAAqEFMAAAAViCkAAIAKxBQAAEAFYgoAAKACMQUAAFCBmAIAAKhATAEAAFQgpgAAACoQUwAAABWIKQAAgArEFAAAQAViCgAAoAIxBQAAUIGYAgAAqEBMAQAAVCCmAAAAKhBTAAAAFYgpAACACsQUAABABWIKAACgAjEFAABQgZgCAACoQEwBAABUIKYAAAAqEFMAAAAViCkAAIAKxBQAAEAFYgoAAKACMQUAAFCBmAIAAKhATAEAAFQgpgAAACoQUwAAABWIKQAAgArEFAAAQAViCgAAoAIxBQAAUIGYAgAAqEBMAQAAVCCmAAAAKhBTAAAAFYgpAACACsQUAABABWIKAACgAjEFAABQgZgCAACoQEwBAABUIKYAAAAqEFMAAAAViCkAAIAKxBQAAEAFYgoAAKACMQUAAFCBmAIAAKhATAEAAFQgpgAAACoQUwAAABWIKQAAgArEFAAAQAViCgAAoAIxBQAAUIGYAgAAqEBMAQAAVCCmAAAAKhBTAAAAFYgpAACACsQUAABABWIKAACgAjEFAABQgZgCAACoQEwBAABUIKYAAAAqEFMAAAAViCkAAIAK5iqmiqI4sSiKh4ui+H1RFNcWRdGvUcMAAACa2dyembolyRfKsvxSkkeSHDr3kwAAAJrfXMVUWZY3l2U5861Pf53kE3M/CQAAoPk18jlTOySZ0MDjAQAANK2e73eFoihuTbLMO3zp8LIsx711ncOTzExyyXscZ5ckuyTJJz/5yUpjAQAAmsX7xlRZlkPe6+tFUWyXZIMkg8uyLN/jOKOTjE6SAQMGvOv1AAAAuoL3jan3UhTFukkOTtJSluXrjZkEAADQ/Ob2OVM/SdI3yS1FUdxXFMXZDdgEAADQ9ObqzFRZlp9t1BAAAICupJGv5gcAANBtiCkAAIAKxBQAAEAFYgoAAKACMQUAAFCBmAIAAKhATAEAAFQgpgAAACoQUwAAABWIKQAAgArEFAAAQAViCgAAoAIxBQAAUIGYAgAAqEBMAQAAVCCmAAAAKhBTAAAAFYgpAACACsQUAABABWIKAACgAjEFAABQgZgCAACoQEwBAABUIKYAAAAqEFMAAAAViCkAAIAKxBQAAEAFYgoAAKACMQUAAFCBmAIAAKhATAEAAFQgpgAAACoQUwAAABWIKQAAgArEFAAAQAViCgAAoAIxBQAAUIGYAgAAqEBMAQAAVCCmAAAAKhBTAAAAFYgpAACACsQUAABABWIKAACgAjEFAABQgZgCAACoQEwBAABUIKYAAAAqEFMAAAAViCkAAIAKxBQAAEAFYgoAAKACMQUAAFCBmAIAAKhATAEAAFQgpgAAACoQUwAAABWIKQAAgArEFAAAQAViCgAAoAIxBQAAUIGYAgAAqKAoy7Lzb7Qopib5yzw4dP8k/z0Pjsu/c193Dvdz53A/dw73c+dwP3ce93XncD93Dvfz232qLMsl3+9KtcTUvFIUxZSyLAfUvaM7cF93Dvdz53A/dw73c+dwP3ce93XncD93DvdzNR7mBwAAUIGYAgAAqGB+i6nRdQ/oRtzXncP93Dncz53D/dw53M+dx33dOdzPncP9XMF89ZwpAACAzjK/nZkCAADoFPNtTBVFcUBRFGVRFP3r3jI/KorixKIoHi6K4vdFUVxbFEW/ujfNT4qiWLcoij8VRfFoURSH1L1nflUUxXJFUbQVRfFQURQPFEWxd92b5mdFUfQoiuLeoihuqHvL/Kooin7/v527CfGqisM4/n1wCtMSamGYI2ggltiLEmIJLVLBSpyWBoVQy94JKhFahovoBYoitBQcjDAhN5VmizYVkWhaAxoFOjY1QvRCLUR6WtwriDmUt//fg8fnA8Pce5jFw2G49/e759wraXt7fR6RdGvpTDWS9ER7zTgoaZukyaUz1ULSm5LGJR08bewqSbslHW5/X1kyYw0mmOfUdh1U2UxJmgWsAI6UzlKx3cAC2zcCh4B1hfNUQ9Ik4FXgTmA+cK+k+WVTVesk8KTt64ElwEOZ6756DBgpHaJyLwMf2L4OuInMd89Jmgk8CtxiewEwCVhTNlVVNgMrzxh7Bthjey6wpz2P/2cz/5zn1HYdVNlMAS8CTwF5IaxPbO+yfbI9/QwYLJmnMouBb21/Z/sE8DYwVDhTlWyP2d7bHv9OU3jOLJuqTpIGgbuBjaWz1ErSNOB2YBOA7RO2fymbqloDwGWSBoApwA+F81TD9ifAz2cMDwFb2uMtwD3nNVSFzjbPqe26qa6ZkrQaOGZ7f+ksF5EHgPdLh6jITODoaeejpMDvO0mzgYXA52WTVOslmodcf5UOUrFrgePAW+12yo2SppYOVRvbx4DnaXa/jAG/2t5VNlX1rrY9Bs1DMGB64TwXg9R2/9EF2UxJ+qjdp3zmzxCwHni2dMYa/Ms8n/qb9TRbpYbLJa2OzjKWVdY+knQ58C7wuO3fSuepjaRVwLjtL0tnqdwAsAh4zfZC4A+yHarn2vd1hoA5wDXAVEn3lU0V0Tup7c7NQOkAXdhefrZxSTfQXNz2S4JmeXKvpMW2fzyPEasw0TyfImktsApY5nxjv5dGgVmnnQ+SLSR9I+kSmkZq2PaO0nkqtRRYLekuYDIwTdJW2ylAe2sUGLV9anV1O2mm+mE58L3t4wCSdgC3AVuLpqrbT5Jm2B6TNAMYLx2oVqntzt0FuTI1EdsHbE+3Pdv2bJoby6I0Ur0naSXwNLDa9p+l81TmC2CupDmSLqV5sXln4UxVUvPUZRMwYvuF0nlqZXud7cH2urwG+DiNVO+197qjkua1Q8uAbwpGqtURYImkKe01ZBn50Ee/7QTWtsdrgfcKZqlWartuqmqm4rx6BbgC2C1pn6TXSweqRfvy58PAhzQ36Hdsf102VbWWAvcDd7T/x/va1ZOIC9UjwLCkr4CbgecK56lOu/K3HdgLHKCppd4oGqoikrYBnwLzJI1KehDYAKyQdJjma80bSmaswQTznNquA2UFLyIiIiIi4txlZSoiIiIiIqKDNFMREREREREdpJmKiIiIiIjoIM1UREREREREB2mmIiIiIiIiOkgzFRERERER0UGaqYiIiIiIiA7STEVERERERHTwN/kGXn97j4U8AAAAAElFTkSuQmCC\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b5dd55c0>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "6.84802915883 max 9\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b56ce1d0>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "5.0362888059 max 9\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6be4cd3c8>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.3356077076 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b4767860>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "3.51262552585 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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XX35Ro0aNtGzZMj3xxBPq1auX6Uh/qFy5csrJyVH58uVVo0YNJgYAAH+JMgUUEGeeeaYyMzN1yy23qFmzZlqwYIHpSCggDh8+rIYNG2rlypWaPHmyunfvbjrSX2JiAADwT1GmgAKkZMmSWrt2rW6//Xa1aNFC8+bNMx0JMe7QoUNq0KCB1qxZo6efflpdu3Y1HekfOXliYP369aYjAQAiEGUKKGDOOOMMZWRk6M4771SrVq00e/Zs05EQo37++WfVq1dPmZmZmjp1qjp16mQ60ik5cWKgTp06TAwAAH6HMgUUQCVKlNDq1avl9XrVpk0bzZw503QkxJiffvpJderU0YYNGzR9+nS1b9/edKSQnDwxsGbNGtORAAARhDIFFFDFixfXypUrlZSUpHbt2mnatGmmIyFGHDx4ULVr11YgENCsWbN0zz33mI50Wk6cGKhfv75WrlxpOhIAIEJQpoACrFixYlqxYoWqV6+ue++9V88++6zpSIhyP/74o2rVqqWNGzdq9uzZatWqlelIYXHixEBaWpqWLVtmOhIAIAJQpoACrmjRolq2bJlq1aqlTp066amnnjIdCVHqwIEDqlGjhjZt2qR58+apRYsWpiOF1YkTA40bN9aSJUtMRwIAGEaZAqAiRYroxRdfVJ06ddStWzc9+eSTpiMhyvzwww9KSUnRG2+8oRdeeEFNmzY1HSlPnDgx0LRpUy1cuNB0JACAQZQpAJKkwoULa/HixapXr57uv/9+TZgwwXQkRIn9+/erWrVq2rx5sxYuXKhGjRqZjpSnTp4YmD9/vulIAABDKFMAjitUqJAWLVqktLQ09e7dW+PGjTMdCRHuu+++U3Jyst5++20tWbJEDRo0MB0pX+RODPzf//2fWrZsqTlz5piOBAAwgDIF4Dfi4+M1f/58NW7cWH379tWYMWNMR0KE2rdvn5KTk/Xee+9p6dKlqlu3rulI+Sp3YiAhIUGtW7fWrFmzTEcCAOQzj+kAACJPfHy85s2bJ9u21b9/fwWDQQ0cONB0LESQvXv3Kjk5WZ988omWLVummjVrmo5kRPHixbVq1SrVq1dPbdu2leM4ateunelYAIB8QpkC8Ic8Ho9mz54tj8ejQYMGKRgMasiQIaZjIQL85z//UVJSkrZt23b80voFWe7EQIMGDdS+fXsFg0F17NjRdCwAQD6gTAH4Ux6PRzNnzpRt2xo6dKgcx9GwYcNkWZbpaDBkz5498vl82rFjh1atWqWkpCTTkSJC7sRAWlqaOnXqJMdx1KVLF9OxAAB5jDIF4C/Ztq1p06bJtm2lp6fLcRw98sgjFKoC6N///rd8Pp++/PJLrV69WomJiaYjRZTciYFGjRqpa9euchxH9913n+lYAIA8RJkC8Lds29Zzzz0n27Y1cuRIBYNBjR49mkJVgOzatUs+n0+7du1SRkaG7rrrLtORIlLhwoW1ZMkSNWnSRN27d1cwGFTPnj1NxwIA5BHKFIB/JC4uTk8//bQ8Ho/Gjh2rYDCocePGUagKgK+//lqJiYnavXu3MjMzVbVqVdORIlruxECzZs3Uq1cvOY6jBx54wHQsAEAeoEwB+Mfi4uI0efJk2bat8ePHy3EcTZgwgUIVw7788kslJiZq7969WrdunW6//XbTkaJCfHy8XnjhBd19993q06ePHMdRv379TMcCAIQZZQrAKbEsS0888YRs29bjjz+uYDCoJ598kkIVg3bu3KnExER9//33Wr9+vW699VbTkaLKiRMDDz74oILBoB566CHTsQAAYUSZAnDKLMvShAkT5PF49Nhjj8lxHE2ePFlxceyAx4rPP/9ciYmJOnDggDZs2KAqVaqYjhSVcicGbNvWwIEDFQwGNXjwYNOxAABhQpkCEBLLsvToo4/Ktm2NHTtWjuPo6aefplDFgG3btsnn8+ngwYPKysrSv/71L9ORoprH49GsWbNk27aGDBkix3E0dOhQns0FgBhAmQIQMsuyNHr0aHk8nuNX+cu96h+i06effiqfz6fDhw8rOztbN954o+lIMcG2bU2fPl0ej0fDhw+X4zhKT0+nUAFAlKNMATgtlmXpkUce+c0PidOnT6dQRaGPP/5YPp9PR48eVXZ2tipVqmQ6Ukw5cWJgxIgRCgaDGjVqFIUKAKIYZQrAabMsS8OGDfvNy5hmzpwpj4dvMdHiww8/lM/nk+u68vv9uu6660xHikm5EwO2bWvMmDFyHEdjx46lUAFAlOInHQBhM3jwYNm2rUGDBslxHM2ePZtCFQXef/99JSUlKS4uTn6/XxUrVjQdKabFxcXpqaeeksfj0bhx4xQMBjV+/HgKFQBEIX7KARBWAwcOlMfjUf/+/eU4jubOnav4+HjTsfAn3n33XSUlJSk+Pl5+v19XXXWV6UgFwokTAxMnTlQwGNQTTzxBoQKAKEOZAhB2Dz74oGzbVt++feU4jubPn69ChQqZjoWTvP3220pOTlaRIkXk9/t1xRVXmI5UoORODJw4gj1p0iSuiAkAUYQyBSBP9OnTRx6PR7169VKTJk20cOFCClUEeeutt5ScnKwSJUrI7/frsssuMx2pQLIsS+PGjZPH4zk+MTBlyhQKFQBECcoUgDzTs2dP2bat+++/X2lpaVq8eLEKFy5sOlaB9+abb6p69eoqWbKk/H6/Lr30UtORCrQ/mxigUAFA5KNMAchT3bt3l23b6tatmxo2bKglS5aoSJEipmMVWK+//rpSUlJUunRp+f1+VahQwXQk6H8TA7ZtKz09XY7jaNq0aUwMAECEo0wByHNdu3aVx+NRp06dVL9+fS1dulRFixY1HavA2bRpk2rUqKGyZcvK7/froosuMh0JJ7AsS8OHD5fH4/nNxACFCgAiF2UKQL7o2LGjbNtWhw4dVLduXS1fvlzFihUzHavAePnll1WzZk2dd9558vv9Kl++vOlI+BMnTww8//zzTAwAQITiuzOAfNO+fXvZtq127dqpTp06WrFihYoXL246VszbuHGjatWqpXLlyik7O1vlypUzHQl/Y+DAgbJtWwMGDJDjOJozZw4TAwAQgShTAPLVPffcI4/HozZt2ig1NVWrVq1SiRIlTMeKWX6/X7Vr19ZFF12k7OxsnX/++aYj4R/q37+/PB7PbyYGKFQAEFm4VBCAfNeyZUvNnj1bL730kmrWrKkff/zRdKSYlJWVpdTUVFWoUEGBQIAiFYX69Omj8ePHa8mSJWrSpImOHDliOhIA4ASUKQBGtGjRQvPmzdOrr76qGjVq6MCBA6YjxZR169apdu3auuyyy+T3+3XuueeajoQQ9erVS0888YSWLVumRo0a6ZdffjEdCQDwX5QpAMY0bdpUCxYs0BtvvKHq1avrhx9+MB0pJmRkZKhu3bq66qqr5Pf7dc4555iOhNPUvXt3TZ48WStXrlTDhg11+PBh05EAAKJMATAsLS1NCxcu1JYtW1StWjXt37/fdKSotmrVKtWvX1/XXHONsrKyVKZMGdORECZdu3bVM888ozVr1qhBgwY6dOiQ6UgAUOBRpgAY16BBAy1ZskRvv/22kpOT9d1335mOFJVWrFihhg0b6vrrr9eGDRt09tlnm46EMOvYsaOmTp2qzMxM1atXTz///LPpSABQoFGmAESEunXraunSpXrvvfeUlJSkffv2mY4UVZYuXaq0tDTddNNN2rBhg8466yzTkZBH2rdvr+nTp2vDhg2qU6cOhQoADKJMAYgYqampWr58uT766CP5fD7t3bvXdKSosHjxYjVu3FhVqlTRunXrVKpUKdORkMfuuecezZo1S4FAQKmpqTp48KDpSABQIIWtTFmWZVuWtdWyrFXhOhNAwVOjRg2tWLFCn376qXw+n/7zn/+YjhTRFixYoGbNmunWW29VZmamzjzzTNORkE9atWql2bNnHx9lZmIAAPJfOJ+Z6iHpozCeB6CAql69ulatWqXt27crMTFRu3fvNh0pIs2bN08tWrTQHXfcobVr16pkyZKmIyGf5U4MbNq0STVr1mRiAADyWVjKlGVZ5SWlSpoajvMAICkpSWvWrNHOnTuVmJiof//736YjRZTZs2erVatWuuuuu5SRkaEzzjjDdCQYkjsx8PrrryslJYWJAQDIR+F6ZmqipH6SjoXpPACQ1+vV2rVr9dVXX8nr9WrXrl2mI0WEmTNnqk2bNvJ6vVq9erWKFy9uOhIMy50Y2Lx5s6pXr87EAADkk9MuU5Zl1Zb0H9d1t/zN7TpalrXZsqzN/FI5gH/qzjvvVGZmpr755hslJCToq6++Mh3JqKlTp6pdu3ZKTk7WypUrVaxYMdORECFyJwa2bt3KxAAA5JNwPDNVVVJdy7J2SnpBks+yrDkn38h13Wdd163ium6VsmXLhuFuARQUVatW1bp167R37155vV59+eWXpiMZ8cwzz6hDhw5KSUnR8uXLKVL4nRMnBpKTk5kYAIA8dtplynXdAa7rlnddt4KkZpKyXddtedrJAOAEt99+u9avX699+/YpISFBO3fuNB0pXz311FPq3LmzatWqpaVLl6po0aKmIyFC5U4MfPjhh0pKStK3335rOhIAxCx2pgBEjVtuuUUbNmzQ/v37lZCQoM8//9x0pHzxxBNPqFu3bqpTp45efPFFFSlSxHQkRLjciYFPPvmEiQEAyENhLVOu6wZc160dzjMB4ERVqlRRVlaWDh48qISEBG3bts10pDw1YcIE9ejRQ/Xr19fixYtVuHBh05EQJXInBrZt26bExETt2bPHdCQAiDk8MwUg6vzrX/9Sdna2Dh06JK/Xq08//dR0pDwxbtw49e7d+/iV2goVKmQ6EqLMiRMDXq+XiQEACDPKFICodMMNN8jv9+vIkSPyer36+OOPTUcKq9GjR6tv375q0qSJ5s+fr/j4eNOREKW8Xq8yMjKYGACAPECZAhC1rr/+evn9fjmOI6/Xqw8//NB0pLB45JFHNGDAADVv3lxz586lSOG03XXXXccnBrxer77++mvTkQAgJlCmAES1a6+9VoFAQJZlyev16v333zcd6bQMGzZMDz/8sFq2bKnZs2fL4/GYjoQYkTsxsGfPHiUkJBTYiQEACCfKFICoV7FiRQUCAXk8HiUmJurdd981HemUua6rwYMHa+jQoWrTpo1mzpwp27ZNx0KMKegTAwAQbpQpADHhqquuUk5OjgoXLqzExERt3brVdKR/zHVdDRw4UOnp6Wrfvr2mT59OkUKeufXWWwvkxAAA5AXKFICYccUVVygnJ0fFixdXUlKStmzZYjrS33JdVw8++KBGjRqljh076tlnn1VcHN+akbdyJwZ+/PFHeb3emJ8YAIC8wiM2gJhy2WWXKScnRyVLllRycrLefPNN05H+lOu66tOnjx599FF16dJFU6ZMoUgh3+RODPz888/yer367LPPTEcCgKjDozaAmHPJJZcoEAiodOnSSk5O1muvvWY60u+4rquePXtq/Pjx6t69uyZPnkyRQr678cYbj08MJCQk6JNPPjEdCQCiCo/cAGJShQoVFAgEVKZMGVWvXl2bNm0yHek413XVvXt3PfHEE+rZs6cef/xxWZZlOhYKqBMnBhISEmJmYgAA8gNlCkDMuuiii5STk6Nzzz1XKSkpevnll01H0rFjx9S1a1dNnjxZDzzwgMaPH0+RgnEnTgwkJiZG/cQAAOQXyhSAmFa+fHnl5OToggsuUI0aNZSTk2Msy7Fjx9SpUyc9/fTTevDBB/Xoo49SpBAxcicGbNuO2okBAMhvlCkAMe+CCy5QIBDQhRdeqFq1asnv9+d7BsdxdO+992rq1KkaOHCgRo0aRZFCxDlxYsDn8+ntt982HQkAIhplCkCBcP755ysQCKhChQpKTU3Vhg0b8u2+HcdRu3btNGPGDA0ePFjp6ekUKUSs3ImBYsWKyefz6a233jIdCQAiFmUKQIFx7rnnyu/36/LLL1edOnWUmZmZ5/cZDAbVunVrPf/88xo2bJiGDRtGkULEO3FiICkpSZs3bzYdCQAiEmUKQIFyzjnnKDs7W1dddZXq1aunjIyMPLuvYDCoVq1aad68eRoxYoQGDx6cZ/cFhFvuxECpUqWUnJys119/3XQkAIg4lCkABU6ZMmWUlZWla665RvVUWXgOAAAgAElEQVTr19eqVav+/MYpKVLZstIjj/yzwz/9VIqPVzAQUIsWLfTCCy9o9OjReuihh8ITHshHFSpUUE5Ojs4++2xVq1ZNr776avgOL1pU8np/fZs2LXznAkA+okwBKJDOPvtsZWVlqVKlSmrYsKGWL1/+xzecNk169NF/fnB6uo7deacGDx6sRYsWady4cXrwwQfDExow4MSJgerVq4dvYqBcOSkQ+PWtffvwnAkA+YwyBaDAKl26tNavX6+bbrpJjRo10osvvvj7G5Uv/88PfOMNOWXLKrBtmza+9JImTJigBx54IHyBAUNOnhjYuHHj6R+6e7eUkCA1bCjt3Hn65wGAAZQpAAVaqVKltG7dOlWpUkVNmjTRokWLQj7LGT5crT74QF9+9ZV69eypnj17hjEpYNaJEwM1a9ZUIBA4vQN37pRycqROnXhmCkDUokwBKPDOPPNMZWZm6rbbblPz5s31wgsvnPIZR5Yu1bxPPtH8det02223KS0tLQ+SAmadODFQq1YtZWVlhX5YmTK//m9KivTFF+EJCAD5jDIFAJJKliypjIwM3XHHHbr77rs1d+7cf/y5hw4d0rx+/VRu2zZ9ec01uvrLL6U+ffgBETHpxImB2rVra926dad+yMGDkuP8+v677/6vWAFAlKFMASYdOCDdccevV7O65RbpdP6VF6ftjDPOUEZGhu66667j21Dq0OHXC1DMnCnVr/+7z/n5559Vt25dtdu+XTunTdOFH3wgVasmjRsnXXxx/v8l8Oe2bpWqVpXuukvy+aTPPzedKGqdODFQt27dU58Y+PBDqUqVX/+/6N5deuaZvAkKAHnMcl033++0SpUqLgOAgKRjx35983h+/cGuaVPpzTclSV6vV5JO//cScMpyC1J2dramTZumtm3b/uHtfvrpJ9WpU0eBQEAzZsxQmzZt8jkppFP4Wtm9WypeXDrjDGnNGmn+fGn27DzPF8v27dunatWq6YMPPtCSJUtUu3Zt05EAICwsy9rium6Vv7sdz0wBJsXF/VqkpF+fpapUyWweSJKKFSumlStXKjk5We3atdPUqVN/d5uDBw+qVq1aysnJ0fPPP0+RigbnnfdrkZKkQoX+97WHkOVODFx//fVq2LChVqxYYToSAOQryhRg2q5d0v/9n1S9utSggek0+K+iRYtq+fLlqlGjhjp06KBnTngZ0o8//qiaNWvq5Zdf1pw5c9SyZUuDSXHKfvpJGjhQ6tvXdJKYULp0aW3YsEE33XST0tLStHTpUtORACDfUKYA08qVk15+WXrjDem++0ynwQmKFi2qpUuXKjU1VZ07d9bkyZN14MABpaSk6NVXX9X8+fPVvHlz0zFxKo4e/fXltAMGSNdcYzpNzDhxYqBx48ZavHix6UgAkC8oU4BJv/zyv/dLlvzfS5AQMYoUKaIlS5aoTp06uu+++1SpUiW9+eabWrBggZo0aWI6Hk7FsWNSy5a/XkjkDy4mgtOTOzFw6623qlmzZlqwYIHpSACQ53jBOGDS++9LvXpJtv3rv5hPnGg6Ef5A4cKF9dxzz+nqq6/WF198obZt27IjFY1efFFavVras0eaM0e6/nrpySdNp4opJUuW1Nq1a5WamqoWLVrIcRy1aNHCdCwAyDOUKcCkypWljRtNp8Df+O6771SrVi399NNPuuOOOzRjxgxVrFhRffmdm+jSqNGvb8hTuRMDtWvXVqtWreQ4jlq1amU6FgDkCV7mBwB/Yd++fUpKStL777+vZcuWKRAIqEmTJurXr59GjRplOh4QkYoXL67Vq1fL6/WqTZs2mjlzpulIAJAneGYKAP7E3r17lZycrE8++eT4lf0kae7cubJtWw899JAcx9GgQYMMJwUiT+7EQP369dWuXTsFg0Hde++9pmMBQFhRpgDgD+zZs0dJSUnavn27Vq5cqWrVqh3/M4/Ho9mzZ8vj8ejhhx9WMBjUkCFDZFmWwcRA5ClWrJiWL1+uhg0bqkOHDnIcR506dTIdCwDChjIFACfZvXu3fD6fdu7cqdWrV8vn8/3uNrZta8aMGbJtW8OGDZPjOBo+fDiFCjhJ7sRAo0aN1LlzZzmOo65du5qOBQBhQZkCgBN888038vl8+uqrr5SRkaGEhIQ/va1t25o2bZps29Yjjzwix3E0YsQIChVwktyJgcaNG6tbt24KBoO6//77TccCgNNGmQKA/9q1a5cSExP1zTffaO3atbrzzjv/9nPi4uL07LPPyrZtjRo1SsFgUGPGjKFQAScpXLiwFi9erKZNm6pHjx5yHEe9evUyHQsATgtlCgAkffXVV0pMTNR//vMfZWZmqmrVqv/4c+Pi4jRlyhR5PB49+uijCgaDeuyxxyhUwEkKFSqkhQsXqnnz5urdu7ccx1GfPn1MxwKAkFGmABR4X3zxhRITE7Vv3z6tW7dOt9122ymfERcXp0mTJsm2bU2YMEGO42jixIkUKuAk8fHxmj9/vlq2bKm+ffsqGAyqf//+pmMBQEgoUwAKtB07digxMVH79+/X+vXrdcstt4R8lmVZevzxx2XbtiZOnKhgMKgnn3xScXFM+gEnio+PPz4xMGDAAAWDQSYGAEQlyhSAAmv79u3y+Xz68ccflZWVpcqVK5/2mZZlafz48fJ4PBo3bpwcx9FTTz1FoQJOcvLEgOM4GjJkiOlYAHBKKFMACqRt27YpMTFRP//8s7KysnTTTTeF7WzLsjR27Fh5PB6NHj1ajuPomWeeoVABJzlxYmDo0KFyHEfDhg3j5bEAogZlCkCB8+mnnyoxMVG//PKLsrOzdcMNN4T9PizL0siRI2XbtkaMGKFgMKipU6fKtu2w3xcQzU6cGEhPT1cwGGRiAEDUoEwBKFA+/vhjJSYmynEc+f1+XX/99Xl2X5ZlKT09XR6P5/iwb+6/wgP4n5MnBhzH0ejRoylUACIeZQpAgfHhhx/K5/PJdV35/X5de+21eX6flmVp6NChsm1bgwcPluM4mjVrljwevv0CJ8qdGLBtW2PHjlUwGNS4ceMoVAAiGo/mAAqE999/Xz6fT7Zty+/3q2LFivl6/w8//LBs29bAgQPlOI7mzJlDoQJOEhcXp8mTJ8vj8Wj8+PFyHEcTJkygUAGIWDySA4h577zzjpKTk1WoUCFlZ2frqquuMpLjoYceksfj0YMPPijHcTRv3jzFx8cbyQJEqj+bGKBQAYhElCkAMW3r1q1KTk5W0aJF5ff7dcUVVxjN069fP3k8Hj3wwANyHEcvvPCCChUqZDQTEGn+aGJg8uTJXBETQMShTAGIWVu2bFG1atVUokQJ+f1+XXbZZaYjSZJ69+4t27bVs2dPNW7cWAsXLlThwoVNxwIiSu7EgG3bGjNmjILBIBMDACIOZQpATHrjjTdUvXp1lSpVSn6/X5dcconpSL/Ro0cPeTwe3XfffUpLS9PixYtVpEgR07GAiGJZlkaNGiWPx6MRI0bIcRw999xzXBETQMSgTAGIOa+99ppSUlJ09tlny+/36+KLLzYd6Q9169ZNtm2rS5cuatCggZYuXUqhAk7yRxMD06dPp1ABiAiUKQAxZdOmTapRo4bOOeccZWdn66KLLjId6S917txZtm2rY8eOqlevnpYtW6aiRYuajgVElNyJgbi4OA0ZMkTBYJCJAQARge9CAGLGSy+9pFq1aun8889Xdna2ypcvbzrSP9KhQwfZtq17771XderU0YoVK1SsWDHTsYCIM3jwYHk8Hg0cOFDHjh3T7NmzKVQAjOI7EICYkJOTo9TUVJUvX17Z2dm64IILTEc6Je3atZNt22rbtq1SU1O1atUqFS9e3HQsIOKcPDEwd+5cJgYAGEOZAhD1srOzVbt2bVWoUEFZWVk6//zzTUcKSZs2bWTbttq0aaNatWpp9erVKlGihOlYQMTp16+fbNtWnz59FAwGmRgAYAzXFwUQ1davX6/U1FRdeuml8vv9UVukcrVs2VJz587VK6+8oho1aujHH380HQmISA888IAmTpyopUuXqkmTJjpy5IjpSAAKIMoUgKiVmZmpOnXq6IorrpDf79e5555rOlJYNGvWTPPnzz9+VcIffvjBdCQgIvXo0UNPPvmkli9frrS0NP3yyy+mIwEoYChTAKLSmjVrVK9ePV199dXKzs5W2bJlTUcKq8aNG2vBggV68803lZKSov3795uOBESk++67T0899ZRWrVqlBg0a6PDhw6YjAShAKFMAos7KlSvVoEEDXXvttcrOzlaZMmVMR8oTuWO+b731lqpVq6bvv//edCQgInXp0kXPPvusMjIyVK9ePR06dMh0JAAFxGmXKcuyiliW9YZlWe9YlvWBZVnDwhEMAP5I7st5KlWqpA0bNuiss84yHSlP1atXT0uWLNG7776r5ORkfffdd6YjARGpQ4cOmjZtmtavX6+6devq559/Nh0JQAEQjmemfpHkc133Bkk3SqphWdZtYTgXAH7jxRdfVKNGjXTTTTdp/fr1Kl26tOlI+aJOnTpaunSpPvjgAyUlJenbb781HQmISO3atdOMGTOUlZWl2rVr66effjIdCUCMO+0y5f7q4H//M/6/b+7pngsAJ1q0aJGaNGmim2++WevWrVOpUqVMR8pXtWrV0vLly/XRRx/J5/Np7969piMBEalNmzZ6/vnnlZOTo1q1aungwYN//0kAEKKw/M6UZVm2ZVlvS/qPpPWu674ejnMBQJJeeOEFNW/eXLfddpsyMzN15plnmo5kREpKilatWqXPPvtMiYmJ2rNnj+lIQERq2bKl5syZo5dfflk1a9ZkYgBAnglLmXJd13Fd90ZJ5SXdYlnWdSffxrKsjpZlbbYsazP/ogrgn5o7d67uvvtuVa1aVWvXrtUZZ5xhOpJRycnJWr16tT7//HMlJiZq9+7dpiMBEal58+aaP3++Xn31VaWkpOjAgQOmIwGIQWG9mp/ruvslBSTV+IM/e9Z13Squ61aJtUsYA8gbs2bNUqtWrZSQkKA1a9aoRIkSpiNFBJ/Pp4yMDH355Zfyer365ptvTEcCIlKTJk2OTwxUr16dzTYAYReOq/mVtSyr1H/fLyopWdLHp3sugIJt+vTpatu2rXw+n1atWqXixYubjhRREhISlJGRoV27dsnr9WrXrl2mIwERKS0tTYsWLWJiAECeCMczU+dL8luW9a6kN/Xr70ytCsO5AAqo5557Tu3bt1e1atW0cuVKFStWzHSkiHTnnXdq7dq12r17txISEvTVV1+ZjgREpPr162vJkiV65513mBgAEFbhuJrfu67r3uS6biXXda9zXXd4OIIBKJiefvppdezYUTVq1NDy5ctVtGhR05EiWtWqVbVu3Trt3btXCQkJ+uKLL0xHAiLSyRMD+/btMx0JQAwI6+9MAcDpmDx5srp06aLU1FQtW7ZMRYoUMR0pKtx2221av369vvvuOyUkJGjHjh2mIwERiYkBAOFGmQIQER5//HHdd999qlu3rpYsWaLChQubjhRVbrnlFmVlZenAgQPyer3avn276UhAREpJSdHKlSv16aefMjEA4LRRpgAYN378ePXs2VMNGjTQokWLKFIhqly5srKysnTw4EF5vV599tlnpiMBEalatWpMDAAIC8oUAKPGjh2rBx54QI0aNdKCBQtUqFAh05Gi2k033aTs7GwdPnxYXq9Xn3zyielIQERiYgBAOFCmABgzatQoPfjgg2ratKnmz5+v+Ph405Fiwg033CC/36+jR4/K6/Xq449ZqwD+CBMDAE4XZQqAEenp6XrooYfUokULzZkzRx6Px3SkmHLdddcpEAjIdV15vV598MEHpiMBEYmJAQCngzIFIF+5rquhQ4dq8ODBatWqlZ5//nmKVB655pprFAgEFBcXp8TERL333numIwERiYkBAKGiTAHIN67ravDgwRo2bJjuuecezZgxQ7Ztm44V066++moFAgHFx8fL5/PpnXfeMR0JiEhMDAAIBWUKQL5wXVcPPfSQHnnkEd17772aNm0aRSqfXHnllcrJyVGRIkXk8/m0detW05GAiMTEAIBTRZkCkOdc11W/fv00evRoderUSc8884zi4vj2k58uv/xy5eTkqESJEvL5fNqyZYvpSEBEOnliYNu2baYjAYhg/DQDIE+5rqsHHnhA48aNU9euXTVlyhSKlCGXXnqpcnJydOaZZyopKUlvvPGG6UhARMqdGDh06JASEhL06aefmo4EIELxEw2APOO6rnr06KEJEybo/vvv16RJk2RZlulYBVqFChWUk5Ojs846S9WqVdNrr71mOhIQkU6cGEhISGBiAMAfokwByBPHjh1Tt27d9OSTT6pXr16aOHEiRSpCXHzxxcrJyVHZsmVVvXp1vfLKK6YjARHp+uuv/83EwIcffmg6EoAIQ5kCEHbHjh1Tly5dNGXKFPXt21ePPfYYRSrCXHjhhcrJydF5552nlJQUvfTSS6YjAREpd2LAsix5vV69//77piMBiCCUKQBhdezYMXXs2FHPPvus+vfvrzFjxlCkIlS5cuUUCARUvnx51ahRQ4FAwHQkICKdODGQmJjIxACA4yhTAMLGcRy1b99e06ZN06BBgzRy5EiKVIS74IILFAgEdPHFF6tWrVrKysoyHQmISFdddRUTAwB+hzIFICwcx1Hbtm01c+ZMDR06VOnp6RSpKHHeeecpEAjo0ksvVe3atbV+/XrTkYCIdPnllysQCKh48eJKSkpiYgAAZQrA6QsGg2rdurVmz56t4cOHa8iQIaYj4RSdc8458vv9uuKKK1SnTh2tXbvWdCQgIl122WXKyclRyZIlmRgAQJkCcHqOHj2qu+++W/PmzdPIkSP18MMPm46EEJUtW1bZ2dmqWLGi6tWrpzVr1piOBESkSy65hIkBAJIoUwBOw9GjR9W8eXMtXLhQY8eO1YABA0xHwmkqU6aMsrKydN1116l+/fpauXKl6UhARDp5YmDTpk2mIwEwgDIFICRHjhxR06ZNtWTJEj322GPq27ev6UgIk7POOksbNmzQDTfcoLS0NC1btsx0JCAiXXjhhQoEAkwMAAUYZQrAKfvll1/UqFEjLV26VI8//rh69+5tOhLCrHTp0lq/fr3+9a9/qXHjxlqyZInpSEBEKl++vAKBgMqVK6eaNWsqJyfHdCQA+YgyBeCUHD58WGlpaVq5cqUmTZqk+++/33Qk5JFSpUpp3bp1uvnmm9W0aVMtXLjQdCQgIuVODFx00UWqWbOmsrOzTUcCkE8oUwD+scOHD6tBgwZavXq1pkyZom7dupmOhDxWsmRJZWZm6vbbb1eLFi00f/5805GAiHTeeefJ7/fr0ksvVWpqKhMDQAFBmQLwjxw6dEh169ZVZmamnnvuOXXu3Nl0JOSTM844QxkZGapatapatmypOXPmmI4ERKRzzz33NxMDmZmZpiMByGOUKQB/6+eff1bt2rW1YcMGTZs2Tffee6/pSMhnJUqU0Jo1a5SQkKDWrVtr1qxZpiMBEYmJAaBgoUwB+Es//fSTUlNT5ff7NXPmTLVt29Z0JBhSvHhxrVq1SklJSWrbtq2mT59uOhIQkXInBq699lo1aNCAiQEghlGmAPypH3/8UTVr1tTGjRs1e/ZstW7d2nQkGFasWDGtWLFC1apVU/v27fXss8+ajgREpNyJgUqVKiktLU3Lly83HQlAHqBMAfhDBw4cUM2aNbVp0ybNnTtXd999t+lIiBBFixbV8uXLVbNmTXXq1ElTpkwxHQmISCdODDRq1Egvvvii6UgAwowyBeB3fvjhB9WoUUOvvfaa5s+fr2bNmpmOhAhTpEgRLV26VKmpqeratasmTZpkOhIQkUqVKqXMzEzdfPPNatKkiRYtWmQ6EoAwokwB+I39+/erevXqevPNN7Vw4UI1btzYdCREqMKFC2vJkiWqV6+eunfvrokTJ5qOBESkM8888/jEQPPmzZkYAGIIZQrAcd9//72qVaumrVu3avHixWrYsKHpSIhwhQsX1sKFC9WgQQP16tVLjz32mOlIQERiYgCITZQpAJKkffv2KSkpSe+++65efPFF1atXz3QkRIlChQppwYIFatSokfr06aOxY8eajgREJCYGgNjjMR0AgHnffvutkpOT9fHHH2vp0qWqVauW6UiIMvHx8Zo/f748Ho8efPBBBYNBPfTQQ6ZjAREnd2KgXr16atu2rRzHUbt27UzHAhAiyhRQwO3du1dJSUn67LPPtHz5cqWkpJiOhCjl8Xg0e/ZsxcXFaeDAgQoGgxo8eLDpWEDEyZ0YqF+/vtq3by/HcdShQwfTsQCEgDIFFGB79uxRUlKStm/frpUrVyo5Odl0JEQ5j8ej559/XrZta8iQIXIcR0OHDpVlWaajAREld2KgQYMG6tixoxzHUefOnU3HAnCKKFNAAfXvf/9bPp9PX375pVavXi2fz2c6EmKEbduaMWOGPB6Phg8fLsdxlJ6eTqECTlKkSBEtW7ZMaWlp6tKli4LBoO677z7TsQCcAsoUUAB98803SkxM1K5du47/MjQQTrZta+rUqbJtWyNGjFAwGNSoUaMoVMBJcicGmjRpou7du8txHPXo0cN0LAD/EGUKKGC+/vpr+Xw+/fvf/1ZGRobuvPNO05EQo+Li4vTMM8/Itm2NGTNGjuNo7NixFCrgJIULF9aiRYvUrFkz9ezZU47jqHfv3qZjAfgHKFNAAfLll18qMTFRe/fuVWZmpu644w7TkRDj4uLiNGXKFHk8Ho0bN07BYFDjx4+nUAEnyZ0YaNGihR544AEFg0H169fPdCwAf4MyBRQQX3zxhRITE7Vv3z6tW7dOt912m+lIKCAsy9KTTz4p27Y1ceJEOY6jxx9/nEIFnCR3YsC2bSYGgChBmQIKgB07digxMVE//PCDNmzYoJtvvtl0JBQwlmVp4sSJsm1bEyZMUDAY1KRJkxQXx3Y8cCKPx6M5c+bItm0NHDhQjuPo4YcfNh0LwJ+gTAExbvv27UpMTNTBgwe1YcMGVa5c2XQkFFCWZemxxx6Tx+PRo48+KsdxNGXKFAoVcJITJwYGDx6sYDDIxAAQoShTQAz77LPPlJiYqMOHDys7O1s33nij6Ugo4CzL0pgxY+TxeDRq1Cg5jqNnn32WQgWchIkBIDpQpoAY9cknn8jn8+nIkSPKzs5WpUqVTEcCJP1aqEaMGCGPx6P09HQ5jnP8MuoA/ufkiQHHcTRy5EgKFRBBKFNADProo4/k8/nkOI78fr+uu+4605GA37AsS8OHD5dt2xo6dKiCwaBmzpxJoQJOcuLEwOjRoxUMBpkYACIIZQqIMR988IF8Pp8sy1IgENA111xjOhLwp4YMGSLbtvXwww/LcRw9//zz8nh4aAJOxMQAELl4xAJiyHvvvaekpCR5PB5lZ2fr6quvNh0J+FuDBg2Sx+PRgAED5DiO5syZo/j4eNOxgIjCxAAQmShTQIx45513lJSUpMKFC8vv9+vKK680HQn4x/r37y/bttWvXz85jqP58+dTqICTMDEARB7KFBClyowto+8OfSffJT6NvW6sqlWrpmLFisnv9+vyyy83HQ84ZX379pXH41Hv3r3VpEkTLViwQIUKFTrtc78+8LUqTq4o27IVPBbUkIQh6lu1bxgSA/kvLycGio4oqlvL3SpJalWpldr/q/1pnwnEOsoUEKUy7s7QM1ue0btfvqukpCSVLFlSfr9fl156qeloQMh69eol27bVo0cPNWrUSIsWLVLhwoVP68zzSpynvX33qoiniAI7A0qdl0qZQlTLq4mBcmeUU+CeQHhCAgUEzwsDUermcjdr7969euutt1SqVCnl5ORQpBAT7r//fk2aNEkrV65Uw4YNdfjw4dM6zxPnURFPEUnSnoN7VO6McuGICRiVOzEwaNAgTZs2Te3bt5fjOKd15u6Du5UwM0ENFzTUzv07wxMUiHE8MwVEqVdffVVrMtYo/ux4BQIBXXzxxaYjAWHTrVs3eTwede7cWQ0aNNCLL76ookWLhnze5m82yzfLp4NHDmrQXYPCmBQwx7Ispaeny+PxaOjQoXIcRzNmzAh5YmBnz50qU6yMMrdlqv2K9spqnRXmxEDs4ZkpIAq98sorql69uooWKarKlStTpBCTOnXqpOeee06ZmZmqV6+efv7555DPqnJBFR0YcEAb227UyJdGhjElYN6QIUOUnp6u2bNnq3Xr1goGgyGdU6ZYGUlSyuUp+mL/F+GMCMQsnpkCoszGjRtVq1YtXXDBBaqcWll7j+41HQnIM/fee69s21b79u1Vp04drVy5UsWKFTulMw4cPqCSRUpKks4vcb48cTz0IfYMGjRItm3roYceUjAYPOWJgYNHDqqop6jsOFvv7nn3eLEC8Nd4RAGiSCAQUGpqqi666CId7XRUS7cv1f+3d68xltf1Hcc/X2ZZt7iATdyIBVKpMVRitLYT1Jo2bfUBNzUlNIplVURBA+VSpRV8YoOtD6qkNF43gsaIYLyAyEVBLjENSljBVllqITbCKuCYBikLy7K7vz44ix2WvfGbs/M/M/N6JZPsucz/fB/8z8685/zO72xpW/LCj70wD7zvgaHHg73i5JNPzrJly/KOd7wjxx57bL75zW9m5cqVe/z9V/3kqpx+3enZp/bJlq1bcsGfX7AXp4XhnHfeeVm2bFnXRwysm1mX064+Lfsv3z9Vlc8c95m9PC0sDmIKFogbb7wxb3jDG3LYYYflxhtvzEEHHTT0SDBvVq9enampqaxevTrHHHNMrrnmmuy///579L0nveKknPSKk/byhDAZej9i4MiDj8ydp905DxPC4uI9U7AAXH/99TnuuOPy4he/ODfffLOQYkl661vfmi996Uu59dZbc/TRR+eRRx4ZeiSYSOecc04uuuiiXHnllTnhhBPyxBNPDD0SLFpzfmWqqg5N8oUkByXZmmRNa+2iuR4Xlqqpqals3QOpM/IAAA7QSURBVLr1N5er6jf/vummm7Jq1aohxoKJ8OY3vzlTU1M58cQTc+CBBz7ttqeeK/vss8+ct4iGhe7MM8/M1NRUzjjjjBxwwAHZtGnTM+7zghe8IA8++OAA08HiMY5lfpuTvK+1dkdV7Z/kB1V1Q2tt3RiODUvO7JDanpCC5IQTTsjU1FSOP/74Hd6+q+cQLCWzP2JgRx566KF5nggWn2qtjfeAVd9I8vHW2g07u8/09HRbu3btWB8XFovZr0Rtb9zPV1jIPFdgz3iuwLNXVT9orU3v7n5jfc9UVb0oySuT3LaD206tqrVVtXZmxlbOsDvfSnLm0EMAsCgcmOTfk/zZwHPAYjO2mKqqlUm+luTs1toz3hXcWlvTWpturU1bqgS79tdJ/iTJPyV54cCzALDwfSTJS5NckmRq4FlgMRlLTFXVvhmF1KWtta+P45iwVK1M8q9J9svoTY12cwFgLo5I8vYk+yZZleT0YceBRWXOMVWjhbgXJ7m7tXbh3EeCpe0fkqzY9u/nJDkmyWsy2qEM+H87e054rsAsreUL++6b52y7uDLJPyZ5fka7+QFzM46fOK9NsjrJX1TVD7d9HTOG48LSc889+dsVK7LfrKuem+TWww/Plh1sawtL2ZYtW9Jae8aXbdFhliuuyB8tX/60pX0rly/PzNveZlt0GIM5x1Rr7d9aa9Vae3lr7Q+2fV07juFgyTn11OTJJ595/fr1ycUXz/88ACxcjz+evPe9yYYNT79+06bkK19J7rhjmLlgEbEWAibFtdcmt9+e7Oiv6hs2JOeemzz88PzPBcDC9JGPJI8+uuPbNm5M3vnOxNboMCdiCibBpk3Ju9/9zL8ebn+f88+fv5kAWLjuuy/56EeTxx7b8e2tJffem1x22fzOBYuMmIJJ8LGPJb/+9a7vs3Fj8vnPJ+vWzctIACxgp5++42Xjs23YkJxxxs5fvQJ2S0zB0B54IPnwh3f9qtRTnngiOeUUyzIA2LlbbkluuinZvHn39924MfnQh/b2RLBoiSkY2lln7dkPvCTZujX50Y+SK6/cuzMBsDBt3jz6o9vOlvdt7/HHk09+crTkD3jWxBQM6XvfS66+evR+qD21YUPynveMfgACwGyf+lTy0EPP7ns2bUpOO23vzAOLnJiCoWzdOtpJqSeKHn10tEsTADzlV78abVS0J8vGZ9uyJbnttuS66/bOXLCIiSkYysUXJ/ff3/e9jz022qXpvvvGOxMAC9e55+5+04md2bBhtKusD4iHZ0VMwRAefjh5//uf/V8PZ3vyydFuTQBw553Jl7882qio18MPJxdeOL6ZYAkQUzCE88+f+1//Nm8e7dZ0yy1jGQmABaq10bLxjRvndpwNG5ILLhjtMgvsETEF823dutHnRc31h14yWu53yil7vhsgAIvP5Zcn99wzno/N2Lw5OfvsuR8HlggxBfOpteRd75rbMoztPfhg8ulPj+94ACwcGzaMlnzPZdn4bJs2JVddNdqQAtitZUMPAEvKE08kP/tZsnz5+I65dWty662jT7EHYGlZv34UQCtWjPe4t9+evOpV4z0mLEJiCubTihXJz38+9BQALBaHHz76uAxgEJb5AQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAECHscRUVV1SVb+sqh+P43gAAACTblyvTH0+yVFjOhYAAMDEG0tMtda+m+R/xnEsAACAhcB7pgAAADrMW0xV1alVtbaq1s7MzMzXwwIAAOwV8xZTrbU1rbXp1tr0qlWr5uthAQAA9grL/AAAADqMa2v0y5J8L8nhVbW+qk4Zx3EBAAAm1bJxHKS1duI4jgMAALBQWOYHAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBhLTFXVUVX1k6q6t6o+MI5jAgAATLI5x1RVTSX5RJKjkxyR5MSqOmKuxwUAAJhk43hl6sgk97bWftpa25Tk8iRvGsNxAQAAJtY4YurgJPfPurx+23UAAACL1jhiqnZwXXvGnapOraq1VbV2ZmZmDA8LAAAwnHHE1Pokh866fEiSX2x/p9bamtbadGttetWqVWN4WAAAgOGMI6ZuT/KSqjqsqpYneUuSq8ZwXAAAgIm1bK4HaK1trqozknw7yVSSS1prd815MgAAgAk255hKktbatUmuHcexAAAAFoKxfGgvAADAUiOmAAAAOogpAACADmIKAACgg5gCAADoIKYAAAA6iCkAAIAOYgoAAKCDmAIAAOggpgAAADqIKQAAgA5iCgAAoIOYAgAA6CCmAAAAOogpAACADmIKAACgg5gCAADoIKYAAAA6iCkAAIAOYgoAAKCDmAIAAOggpgAAADqIKQAAgA5iCgAAoIOYAgAA6CCmAAAAOogpAACADmIKAACgg5gCAADoIKYAAAA6iCkAAIAOYgoAAKCDmAIAAOggpgAAADqIKQAAgA5iCgAAoIOYAgAA6CCmAAAAOogpAACADmIKAACgg5gCAADoIKYAAAA6iCkAAIAOYgoAAKCDmAIAAOggpgAAADqIKQAAgA5iCgAAoIOYAgAA6CCmAAAAOogpAACADmIKAACgg5gCAADoIKYAAAA6iCkAAIAOYgoAAKCDmAIAAOggpgAAADrMKaaq6q+q6q6q2lpV0+MaCgAAYNLN9ZWpHyc5Psl3xzALAADAgrFsLt/cWrs7SapqPNMAAAAsEPP2nqmqOrWq1lbV2pmZmfl6WAAAgL1it69MVdV3khy0g5s+2Fr7xp4+UGttTZI1STI9Pd32eEIAAIAJtNuYaq29fj4GAQAAWEhsjQ4AANBhrluj/2VVrU/ymiTXVNW3xzMWAADAZJvrbn5XJLliTLMAAAAsGJb5AQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBBTAAAAHcQUAABABzEFAADQQUwBAAB0EFMAAAAdxBQAAEAHMQUAANBBTAEAAHQQUwAAAB3EFAAAQAcxBQAA0EFMAQAAdBBTAAAAHcQUAABABzEFAADQoVpr8/+gVTNJfjbvDzy5np/kV0MPwURybrAzzg12xrnBrjg/2BnnxtP9bmtt1e7uNEhM8XRVtba1Nj30HEwe5wY749xgZ5wb7Irzg51xbvSxzA8AAKCDmAIAAOggpibDmqEHYGI5N9gZ5wY749xgV5wf7Ixzo4P3TAEAAHTwyhQAAEAHMTUBquqfq+o/q+o/quqKqnre0DMxrKo6qqp+UlX3VtUHhp6HyVFVh1bVzVV1d1XdVVVnDT0Tk6Wqpqrqzqq6euhZmBxV9byq+uq23zfurqrXDD0Tk6Gqztn28+THVXVZVa0YeqaFRExNhhuSvKy19vIk/5XkvIHnYUBVNZXkE0mOTnJEkhOr6ohhp2KCbE7yvtbaS5O8Osnpzg+2c1aSu4cegolzUZJvtdZ+P8kr4hwhSVUdnOTMJNOttZclmUrylmGnWljE1ARorV3fWtu87eL3kxwy5DwM7sgk97bWftpa25Tk8iRvGngmJkRr7YHW2h3b/v2/Gf1CdPCwUzEpquqQJMcm+ezQszA5quqAJH+a5OIkaa1taq09POxUTJBlSX6rqpYl2S/JLwaeZ0ERU5PnnUmuG3oIBnVwkvtnXV4fvyyzA1X1oiSvTHLbsJMwQf4lyd8l2Tr0IEyU30syk+Rz25aAfraqnjv0UAyvtfbzJB9Ncl+SB5L8urV2/bBTLSxiap5U1Xe2rUXd/utNs+7zwYyW8Fw63KRMgNrBdbbd5GmqamWSryU5u7X2yNDzMLyqOi7JL1trPxh6FibOsiR/mORTrbVXJtmQxPtxSVX9dkarXw5L8jtJnltVJw071cKybOgBlorW2ut3dXtVvT3JcUle1+xXv9StT3LorMuHxEvuzFJV+2YUUpe21r4+9DxMjNcmeWNVHZNkRZIDquqLrTW/GLE+yfrW2lOvYn81YoqR1yf579baTJJU1deT/HGSLw461QLilakJUFVHJfn7JG9srT029DwM7vYkL6mqw6pqeUZvBL1q4JmYEFVVGb3v4e7W2oVDz8PkaK2d11o7pLX2ooz+37hJSJEkrbUHk9xfVYdvu+p1SdYNOBKT474kr66q/bb9fHldbE7yrHhlajJ8PMlzktwwOo/z/dbae4YdiaG01jZX1RlJvp3RrjqXtNbuGngsJsdrk6xO8qOq+uG2685vrV074EzA5PubJJdu+yPdT5OcPPA8TIDW2m1V9dUkd2T0VpM7k6wZdqqFpawoAwAAePYs8wMAAOggpgAAADqIKQAAgA5iCgAAoIOYAgAA6CCmAAAAOogpAACADmIKAACgw/8BoK2P7DXcjEEAAAAASUVORK5CYII=\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa70c571d68>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.0 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b50342b0>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.72144440521 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b57bae10>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.3356077076 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b4c97e48>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.37498296051 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b47d54a8>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "6.94500211953 max 9\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b509a4e0>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "1.72144440521 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b45d8160>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0.171960320003 max 6\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b414f908>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0.652469078744 max 9\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa6b4640ba8>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
     }
    ],
    "source": [
@@ -851,7 +555,7 @@
     "    max_frames = 150\n",
     "    action_space = 9\n",
     "\n",
-    "    contin = 0\n",
+    "    contin = 1\n",
     "\n",
     "    if not contin:\n",
     "        eps = 0.3\n",
@@ -898,7 +602,9 @@
     "\n",
     "            p = sess.run(agent.p, {agent.input_s: s, agent.temperature: temp})\n",
     "            a = np.random.choice(p[0], p=p[0])\n",
-    "            a = np.argmax(p[0] == a)\n",
+    "            \n",
+    "            a = np.argmin(np.abs(p[0] - a))\n",
+    "#             a = np.argmax(p[0] == a)\n",
     "\n",
     "            s_new, r, done = env.step(a)\n",
     "\n",
@@ -916,9 +622,10 @@
     "                \n",
     "        # Hindsight Eperience Replay\n",
     "        \n",
-    "        if env.last_element_location is not None and not done: # Though very rare. No valid action is taken\n",
+    "        if env.last_element_location is not None and max(env.ss.nodes_range('x')) > 3: # Though very rare. No valid action is taken\n",
     "            index = env.last_element_added\n",
     "            i = 0\n",
+    "            print(\"lastloc\", env.last_element_location, env.goal)\n",
     "            goal = scale_down(env.last_element_location, 0, max(env.height, env.length) - 1)\n",
     "            while i < index:\n",
     "                i += 1\n",
@@ -927,19 +634,21 @@
     "                s, a, s_new = episode_buffer[i]\n",
     "                s = s[0] # remove redundant brackets\n",
     "                \n",
+    "                print(s.shape, s_new.shape)\n",
+    "                print(s)\n",
+    "                \n",
     "                # replace the goal in the state with the 'fake' goal\n",
     "                np.put(s, [-2, -1], goal)\n",
-    "                np.put(s_new, [-1, -1], goal)\n",
+    "                np.put(s_new, [-2, -1], goal)\n",
+    "                \n",
+    "\n",
+    "                env.ss.show_structure()\n",
+    "                1/0\n",
     "  \n",
     "                if i == index:\n",
     "                    done = True\n",
-    "                    if max(env.ss.nodes_range('x')) > 3:\n",
-    "                        r = env.compute_reward()\n",
-    "                        print(r, \"max\", max(env.ss.nodes_range('x')))\n",
-    "                        env.ss.show_structure()\n",
-    "                        \n",
-    "                    else:\n",
-    "                        r = -0.5                    \n",
+    "                    r = env.compute_reward()                       \n",
+    "                       \n",
     "                else:\n",
     "                    done = False\n",
     "                    r = 0\n",
@@ -950,7 +659,7 @@
     "                buffer = buffer[-buffer_size:]\n",
     "            \n",
     "        # Train\n",
-    "        if len(buffer) >= 1750 and count % 5 == 0:\n",
+    "        if len(buffer) >= 1750 and count % 2 == 0:\n",
     "\n",
     "            batch = np.vstack(buffer)\n",
     "            batch = batch[np.random.randint(0, len(buffer), size=50)]\n",
@@ -977,7 +686,7 @@
     "                                            feed_dict={agent.input_s: s_, \n",
     "                                                       agent.executed_actions: a_, \n",
     "                                                       agent.next_Q_r: target_Q})\n",
-    "            if count % 3 == 0:\n",
+    "            if count % 8 == 0:\n",
     "                # update target network\n",
     "                update_target(operation_holder, sess)\n",
     "\n",
@@ -986,55 +695,1691 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 83,
+   "execution_count": 162,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "4"
+       "array([[ list([array([ 1.  ,  1.  ,  1.  ,  1.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  1.  ,  1.  ,  1.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  1.  ,\n",
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+       "        0.  ,  0.  ,  0.  ,  1.  ,  1.  ,  1.  ,  1.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
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+       "        0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
+       "        0.25,  1.  ])]),\n",
+       "        4, -0.2,\n",
+       "        array([ 1.  ,  1.  ,  1.  ,  1.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  1.  ,  1.  ,  1.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  1.  ,\n",
+       "        1.  ,  1.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  1.  ,  1.  ,  1.  ,  1.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
+       "        0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,  0.  ,\n",
+       "        0.25,  1.  ]),\n",
+       "        False],\n",
+       "       [ list([array([ 0.        ,  0.        ,  0.        ,  1.        ,  0.        ,\n",
+       "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
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+       "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
+       "        1.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
+       "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
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+       "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
+       "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
+       "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
+       "        0.        ,  0.        ,  0.        ,  0.        ,  0.23076923,\n",
+       "        0.69230769,  0.        ,  0.75      ])]),\n",
+       "        7, -0.2,\n",
+       "        array([ 0.        ,  0.        ,  0.        ,  1.        ,  0.        ,\n",
+       "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
+       "        0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
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+       "        False]], dtype=object)"
       ]
      },
-     "execution_count": 83,
+     "execution_count": 162,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "env.last_element_added"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 218,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
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-       "        834, 1155, 1128, 1585, 1141, 1223,  778,   11, 1260,  953, 1123,\n",
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-       "        864,  922,  542,  684, 1652, 1132,  111])"
-      ]
-     },
-     "execution_count": 218,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "np.random.randint(0, len(buffer), size=150)"
+    "batch\n"
    ]
   },
   {
@@ -1061,7 +2406,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 269,
+   "execution_count": 160,
    "metadata": {
     "scrolled": false
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@@ -1077,97 +2422,111 @@
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-      "  -0.15968733 -0.0625282  -0.12409107]]\n",
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       "action 0\n",
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-      "action 8\n",
-      "0.3 False\n",
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       " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
-      "[[-0.04085039 -0.11100997 -0.11088704 -0.12791041 -0.09517156 -0.12062193\n",
-      "  -0.11678745 -0.00902648  0.06009494]]\n",
-      "Needed a 0th try\n",
-      "action 7\n",
-      "-0.1 False\n",
+      "[[-0.03649651 -0.14858671 -0.14166556 -0.17035529 -0.09940475 -0.07325736\n",
+      "  -0.02810554 -0.04082692 -0.03025234]] [0, 4, 5, 6, 7, 8, 9]\n",
+      "action 6\n",
+      "0 False\n",
       "\n",
-      " [[ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
-      " [ 0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.]\n",
-      " [ 0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
-      " [ 1.  1.  1.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
+      " [[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
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       " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
       " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
-      "[[-0.08655569 -0.14578378 -0.14116323 -0.12681305 -0.12672246 -0.20102227\n",
-      "  -0.20830132 -0.30769739  0.23941685]]\n",
-      "action 8\n",
-      "0.3 False\n",
+      "[[-0.04036011 -0.05266269 -0.00984545 -0.10497606 -0.04280802 -0.17977664\n",
+      "  -0.16444431 -0.15246916 -0.03463341]] [0, 1, 2, 3, 4, 8, 9]\n",
+      "action 2\n",
+      "0 False\n",
       "\n",
-      " [[ 0.  0.  0.  0.  0.  0.  1.  0.  0.  0.  0.  0.  0.]\n",
-      " [ 0.  0.  0.  0.  0.  1.  0.  1.  0.  0.  0.  0.  0.]\n",
-      " [ 0.  0.  0.  0.  1.  0.  0.  0.  1.  0.  0.  0.  0.]\n",
-      " [ 1.  1.  1.  1.  0.  0.  0.  0.  0.  1.  0.  0.  0.]\n",
+      " [[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
       " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
       " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
-      "[[-0.04457501 -0.0959407  -0.099599   -0.10792491 -0.1050294  -0.16658401\n",
-      "  -0.17009808 -0.14854448  0.03204997]]\n",
-      "Needed a 0th try\n",
-      "action 0\n",
-      "17.9853007856 True\n"
-     ]
-    },
-    {
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ALVhgVvCrV+/q5y5btkyNGzdW6dKlFR8frzJlyqS5n5dfflmhoaF64YUX5PV6NW7cuEsG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\nAABJRU5ErkJggg==\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fa54de77898>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
+      "[[-0.03649651 -0.14858671 -0.14166556 -0.17035529 -0.09940475 -0.07325736\n",
+      "  -0.02810554 -0.04082692 -0.03025234]] [0, 4, 5, 6, 7, 8, 9]\n",
+      "action 6\n",
+      "0 False\n",
+      "\n",
+      " [[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
+      "[[-0.04036011 -0.05266269 -0.00984545 -0.10497606 -0.04280802 -0.17977664\n",
+      "  -0.16444431 -0.15246916 -0.03463341]] [0, 1, 2, 3, 4, 8, 9]\n",
+      "action 2\n",
+      "0 False\n",
       "\r",
-      " 18.5853007856 14.045941546\n"
+      " 0 0.0\n"
      ]
     }
    ],
@@ -1195,7 +2554,7 @@
     "    print(\"\\n\", env.state)\n",
     "    \n",
     "    a_dst = sess.run(bot.predict_Q, {bot.input_s: [s]})\n",
-    "    print(a_dst)\n",
+    "    print(a_dst, env.valid_actions)\n",
     "    \n",
     "    for j in range(8):\n",
     "        a = np.argmax(a_dst)\n",
@@ -1221,7 +2580,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 272,
+   "execution_count": 143,
    "metadata": {},
    "outputs": [
     {
@@ -1229,121 +2588,117 @@
      "output_type": "stream",
      "text": [
       "\n",
-      " [[ 1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
-      " [ 1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
-      " [ 1.  0.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [[ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
       " [ 1.  1.  1.  1.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
       " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
       " [ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.]]\n",
-      "[[-0.03687305 -0.07890798 -0.08160341 -0.13590157 -0.13331383 -0.10783958\n",
-      "  -0.12274271 -0.08435958 -0.1891897 ]]\n",
-      "Needed a 0th try\n",
-      "Needed a 1th try\n",
-      "Needed a 2th try\n",
-      "Needed a 3th try\n",
-      "action 5\n",
-      "-0.1 False\n",
+      "[[-0.01786325 -0.055416   -0.08617482 -0.08815897 -0.03658652 -0.08668041\n",
+      "  -0.0850154  -0.08539797 -0.04319948]]\n",
+      "action 0\n",
+      "0 False\n",
       "\n",
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       "\r",
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    ],