From 76066e83fe791b28fbd2be666b5f77a9569939cd Mon Sep 17 00:00:00 2001 From: Sebastian Mair Date: Mon, 6 Nov 2023 23:15:10 +0100 Subject: [PATCH 1/2] Fixed visualization of Iterative Deepening search; previously, only the last sub-execution of Depth-Limited search was run. --- UninformedSearch.ipynb | 354 ++++++++++++++++++++++++++++++++++------- 1 file changed, 293 insertions(+), 61 deletions(-) diff --git a/UninformedSearch.ipynb b/UninformedSearch.ipynb index 33f363f13..9ae0d5ca1 100644 --- a/UninformedSearch.ipynb +++ b/UninformedSearch.ipynb @@ -21,8 +21,10 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 1, + "metadata": { + "tags": [] + }, "outputs": [], "source": [ "from search import *\n", @@ -59,8 +61,10 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 2, + "metadata": { + "tags": [] + }, "outputs": [], "source": [ "%matplotlib inline\n", @@ -83,8 +87,10 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 3, + "metadata": { + "tags": [] + }, "outputs": [], "source": [ "simple_tree = UndirectedGraph(dict(\n", @@ -111,9 +117,19 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 4, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'A': (35, 40), 'B': (15, 20), 'C': (55, 20), 'D': (0, 0), 'E': (30, 0), 'F': (40, 0), 'G': (70, 0)}\n" + ] + } + ], "source": [ "simple_tree_locations = simple_tree.locations\n", "print(simple_tree_locations)" @@ -130,8 +146,10 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 5, + "metadata": { + "tags": [] + }, "outputs": [], "source": [ "from search_helpers import show_tree, display_steps" @@ -146,8 +164,10 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 6, + "metadata": { + "tags": [] + }, "outputs": [], "source": [ "# node colors, node positions and node label positions\n", @@ -166,9 +186,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 7, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAApQAAAGJCAYAAAA0b6PkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAB2f0lEQVR4nO3dd1RU19oG8GeoSrEg2CDG3gUERVRUQKUJ9hi7SOwaNcF2NbEm1oTojb3EBhpjBUVBFFBARaTau0YNKraooLQ53x9e+UJslIE95fmtNSsyc/Y+DxPKyzm7yCRJkkBEREREVERaogMQERERkWpjQUlERERExcKCkoiIiIiKhQUlERERERULC0oiIiIiKhYWlERERERULDqiAxAREakDuVyOR48e4dmzZ8jNzRUdh0ihtLW1UaFCBZiamkJL693rkTKuQ0lERFR8f/75J2QyGapUqQJdXV3IZDLRkYgUQpIkZGdn48GDB5AkCTVq1HjnGN7yJiIiUoD09HSYm5tDT0+PxSSpFZlMBj09PZibmyM9Pf29x7CgJCIiUpD33QokUhcf+/rmVz4RERERFQsLSiIiIiIqFhaUREREpLIiIyMhk8nw6NEjIef39PSEt7e3kHMrExaUREREGszR0RHjxo175/lNmzbByMhIQCJSRSwoiYiISKNlZWWJjqDyWFASERHRR3l7e8PT0xPLli2Dubk5KlasiKFDhyIjI+Oj7bKysjB16lRYWFjAwMAALVu2RGhoKIA3axt27twZnTp1wtslsV++fIl69eph7NixAP7/dvaBAwdgbW2NMmXKwNbWFvHx8R897549e9CsWTPo6+vjs88+w48//oh/Lrtds2ZNzJ49Gz4+PqhQoQIGDBgAADhx4gQ6dOgAAwMDmJubY/To0Xj+/Hleu4yMDHh7e8PIyAhVqlTB/PnzC/9mqikWlERERPRJUVFROHfuHI4cOYIdO3Zg7969WLZs2UfbDB06FMeOHcO2bdtw7tw5DBkyBF5eXkhOToZMJsPmzZuRlJSEn376CQAwfvx46Onp5X381qRJk7Bo0SKcOXMGtWvXhqen5weL2fj4eHzxxRfo2bMnzp49i4ULF2LBggVYvnx5vuP8/PzQsGFDnDlzBvPnz8fZs2fh4uKCrl27Ijk5GXv27EFSUhJ8fHzy5QgLC8Pu3btx9OhRJCYm4vjx40V5O9WPRERERMV24cIF0RGKpEOHDtLYsWPfeX7jxo2SoaGhJEmSNGTIEMnCwkLKycnJe33YsGFSx44dP9jvtWvXJJlMJt2+fTvf8926dZNGjx6d9/HevXslPT096bvvvpP09PSkpKSkvNciIiIkAJK/v3/ecy9evJDKly8vrVu3Lt8xaWlpkiRJUv/+/SUnJ6d855w1a5Zkbm6e9/Hnn38ueXp65jtm0KBBko+PT77nEhMTJQDSgwcPpBcvXkh6enrvzTJkyJAPvg/q5kNf57xCSURERJ/UuHFjaGtr531cvXp1PHz4EAAQEBAAIyOjvEdUVBQSEhIgSRIaN26c77Xg4GBcv349r5/u3bujf//++OGHH/DDDz/AysrqnXO3bt06799GRkZo1qwZLly48N6cFy9eRNu2bfM95+DggHv37uW7fd2iRYt8x8THx8Pf3z9f1rf9XL9+HdevX0dWVtZ7sxCgIzoAERERiVOuXDn8/fff7zz/7NkzlC9fPu9jXV3dfK/LZDLI5XIAQNeuXdGqVau818zNzREUFASZTIa4uLh32pYtWzbv369fv0ZcXBy0tbVx7do1hXxOH/LPLTENDQ3zvSaXyzFs2DB8880377QzNzfHlStXSjSbqmNBSUREpMEaNGiAgwcPQpKkfAVXQkICGjRoUKA+jI2NYWxsnO+55s2bQ5Ik3L9/H05OTh9sO3nyZGRmZiIsLAyurq7o0qULunbtmu+YU6dOoXbt2gDe7Jl+7tw5DB48+L39NWrUCDExMfmei46OhoWFxTsZ/8nGxgbnz59H3bp13/t6nTp1oKur+94sderU+WC/moK3vImIiDTY6NGjcePGDXz99ddITk7G5cuX8csvv2D79u2YPHlykfutX78+BgwYAG9vb+zatQs3btzAmTNn8NNPP2HPnj0AgEOHDmHNmjXw9/eHk5MTZs+ejWHDhuH+/fv5+vrhhx8QFhaG8+fPw8fHB3p6eujfv/97z+vr64tjx45h9uzZuHLlCgICAvDzzz9jypQpH807depUnD59GqNGjUJiYiKuXbuGAwcOYOTIkQDe3N7+6quvMHXq1HxZcnNzi/weqRMWlERERBqsdu3aOH78OK5evQoXFxfY2dnh999/x86dO+Hu7l6svjdu3IihQ4diypQpaNiwITw9PXH8+HF8/vnnSEtLw9ChQ/Hdd9/l3S6fNm0aGjVqhKFDh+Zb5mfhwoXw9fWFjY0Nrl69igMHDrxzy/otGxsb7Ny5E7t370bTpk0xbdo0TJs27b2Lt/+TpaUljh8/jlu3bqFDhw6wsrLCf/7zH1SpUiXvmJ9++glOTk7o0aMHnJyc0LRpU7Rv375Y75G6kEn//D9GRERERXLx4kU0atRIdAy1EhkZCScnJ6SlpcHU1FR0HMKHv855hZKIiIiIioUFJREREREVC2d5ExERkVJydHQER+apBl6hJCIiIqJiYUFJRERERMXCgpKIiIiIioVjKImIiJSFJAGPTgKPTwPZLwBdY6CSHWDaGvjHLjZEyoYFJRERkWjybOD6BuDCYiDz4ZuP5dmAlu6bh35loPEUoM5Xbz4mUjIsKIlIaVy9ehXnz5+Hjo5O3sxOAwMDODo6QltbW3A6ohKS/RKIdAeeJAC5Gflfk2e9eeTcBBJ8gVvbAMeDgK6RmKxEH8CCkoiEO3bsGB49eoS6deuie/fu+V57+vQpgoKCIJfL0alTJ5QvX15MSKKSIM9+U0w+jgPkmR8/Njfjza3wSA+g41G1u1LJXXFUGyflEJEwcrkc27ZtQ926ddGrVy9YWVm9c0zFihXRo0cP9OjRAyEhIbhz546ApEQl5PqGN1cmP1VMviXPBJ7EA9d/U1gEb29vyGSydx5JSUkKO8e/1axZEz/99FO+59q0aYPU1FRUqlSpxM5LJYcFJREJ88cff6BLly4wNzf/5LFaWlr48ssvERsbi0ePHpVCOqISJklvxkz++zb3p+RmvGmnwAW/O3XqhNTU1HyPpk2b5jsmKytLYed7Hz09PVStWhWyYkw+KumM9GEsKImoSBISEqCtrY22bdsWqf3x48fRtm3bQt/C7tWrF8LCwop0TiKl8ujkmwk4RZH54E17BdHX10fVqlXzPTp16oTRo0dj0qRJMDMzy/teP378OFq1aoUyZcqgSpUq+Oabb/IVco6OjhgzZgymT58OU1NTVK5cGZMmTYJcLs97/fbt25g8eXLe1VDgzS1vmUyW7w/GEydOoEOHDjAwMIC5uTlGjx6N58+f5zvX+zJS6WNBSURFsn79eowZMwbnzp3DxYsXC93+4cOH+OyzzwrdTiaToXbt2rz1TaohfiJwxPH9j5ODgZxCXp18KyfjTfv39Rs/sdix3/L394ckSYiKisKWLVtw7949uLu7o3nz5khMTMSGDRuwfft2/Oc//8nXLiAgADo6Ojhx4gSWL1+OpUuXYseOHQCAPXv2wMLCAjNnzsy7Gvo+Z8+ehYuLC7p27Yrk5GTs2bMHSUlJ8PHx+WhGEoOTcoio0F69eoVt27YhKioKGRkZ2LBhwzvjoT7m5s2bqFmzZpHPb2dnh927dxepICVSGlIugKLetpb+114xQkJCYGT0/zPH27VrBwCoVasWfv7557znZ8yYgerVq2PlypXQ0tJCo0aNsHDhQowcORLz5s2DgYEBAKBx48aYO3cuAKB+/fpYt24djh49in79+sHExATa2towNjZG1apVP5hpyZIl+PLLL+Hr65v33KpVq9C8eXM8fPgQlStXfm9GEoMFJREV2q5du/D555+jWbNmGDRoEPr06YMFCxZAV7dgs06Tk5Pfmc1dGDKZjMsIkWqwXfrh1y4tBZKmvlkWqLC09IEGE4GGE4oYLL/27dtj7dq1eR+XLVsWAwYMgK2tbb7jLl68CHt7e2hp/f8NTgcHB2RlZeHatWuwtLQEgLz/vlW9enU8fFi42/vx8fG4du1a3pVNAHnLiV2/fj2voPx3RhKDBSURFdqGDRswaNAgAMgb3xQYGIjevXsXqL0iikEdHf74IhVXye7N0j9FKih1gEotFRbFwMAAdevWfed5Q0PDAvfxz8k0//7jUiaT5Y2hLCi5XI5hw4bhm2++eee1f07kK0xGKjn8iUxEhXLt2jVER0dj27ZtAN78ohgwYAA2bNhQ4IJSUSRJKtaMUCKhTFu/2QEn52bh25ap8qZ9KWvUqBH++OMPyOXyvKuU0dHR0NPTQ506dQrcj56eHnJzP37L3sbGBufPn39voUvKh5NyiKhQ1q9fj9zcXNSoUQM6OjrQ0dHBwoULcfjw4QJPlJEUsNwJi0lSeTLZm+0UtQ0K107bAGg0Rcje3mPGjMFff/2FMWPG4OLFiwgODsa0adMwbty4vPGTBVGzZk1ERUXh3r17H1wGbOrUqTh9+jRGjRqFxMREXLt2DQcOHMDIkSMV9emQArGgJKICy8nJwebNm7FgwQIkJSXlPZKTk2FpaYmNGzcWqJ9KlSp9cGZnQWVnZxerPZFSqPMVYGLzZkxkQWjpAya2QB2fTx9bAszNzXHo0CEkJibC2toaPj4+6NevH+bPn1+ofubOnYs7d+6gTp06MDMze+8xlpaWOH78OG7duoUOHTrAysoK//nPf1ClShVFfCqkYDJJEZcKiEgjvB0nef/+/Xd2s1i0aBFWr16NGzdufPLKoSRJ2LNnD3r16lWkHHfv3sXdu3dhb29fpPZEJeHixYto1KhR4Rtmv3yzneKT+I8vcq5t8KaY5F7eJNCHvs55hZKICmzDhg1wcnJ679ZoX3zxBW7dulWgRcffztIu6lXG2NhYtGrVqkhtiZSOrtGbvblt/ADD2oCO4f+uWMre/FfHEDCq/eb1jkdZTJJS4hVKIhLi1atX2LVrFwYOHFiosZDx8fGQy+Vo2VJxM1yJFKHIVyj/SZLe7IDzOA7IeQHoGL+ZDW5qL2TMJNG/fejrnLO8iUiIsmXLQkdHB9988w38/PzyrWv3IeHh4Vi9ejW2b99eCgmJBJDJALM2bx5EKoS3vIlIiBMnTmDChAno2rUr/vjjDxw7duyD69TdunULu3fvhr6+Ph49eoTx48crZKY4EREpBm95E1GpO3fuHDp27IgtW7bA1dUVAJCWloaoqChoaWlBW1s7r2DMzs7G559/DltbW8hkMjx//hyOjo7o1q0bZs2aJfLTIMpHIbe8iZQcb3kTkVK4ffs23N3dsXTp0rxiEgDMzMzQs2fPT7YvV64cDh06BAcHB5iZmWHMmDElGZeIiAqABSURlZq0tDS4uLhg8uTJ6NevX5H7qVKlCg4fPox27drB1NQUffr0UWBKIoEkCTh5Ejh9GnjxAjA2BuzsgNatOSmHlBoLSiIqFS9evICHhwf69OmD8ePHF7u/WrVq4eDBg+jcuTNMTEzQqVMnBaQkEiQ7G9iwAVi8GHj48M3H2dmAru6bR+XKwJQpwFdfvfmYSMlwDCURlbjMzEx06dIFderUwerVqxW6ZWJUVBR69eqF4OBgLiVEQhV5DOXLl4C7O5CQAGR8ZGFzAwPA1hY4eBAw4lqUJAYXNiciIXJzczFw4ECUL18eK1euVPj+2+3atcOGDRvQtWtXXLp0SaF9E5W47Ow3xWRc3MeLSeDN66dPAx4eb9rRB9WsWRM//fST6BifFBkZCZlM9sH9zAtDJpNh165dCkhVNCwoiajESJKEcePG4fHjxwgICIC2tnaJnMfLywsLFiyAm5sb7t69WyLnICoRGza8uTKZmVmw4zMzgfh44LffFBrjwYMHmDBhAurUqQN9fX2Ym5vD3d0dBw8eVOh5FG327Nlo2rSpwvu9desWZDLZex8hISEKP58ipKamwsvLS9j5OYaSiErMnDlzEBsbi8jISJQpU6ZEz+Xt7Y20tDS4uroiKioKJiYmJXo+omKTpDdjJj91ZfLfMjLetBsxQiETdW7duoW2bdvC2NgYCxYsgJWVFeRyOY4ePYpRo0bhzz//LHLfWVlZ0NPTy/dcTk4OtLW1FX63oiSEhITAysoq33PK9rPl7XtctWpVoTl4hZKISsSKFSsQEBCAQ4cOoVy5cqVyzsmTJ8PDwwOenp5IT08vlXMSFdnJk28m4BTFgwdv2ivA26W3zpw5gz59+qBBgwZo1KgRxo0bh5SUlLzj3ndL9d+3lmUyGVasWIGePXvC0NAQ06dPz7uKuGnTprwroOnp6fj7778xYsQIVK5cGcbGxujQoQPOnDmT19emTZtgZGSEo0ePomnTpjA0NISTkxNu3ryZ9/qcOXNw/vz5vKuHmzZteufz8/HxgaenZ77n5HI5atSoAT8/v4++N5UqVULVqlXzPfT09CBJEjp37oxOnTrlrZn78uVL1KtXD2PHjgXw/7ezDxw4AGtra5QpUwa2traIj4//6Dn37NmDZs2aQV9fH5999hl+/PHHfBs51KxZE7Nnz4aPjw8qVKiAAQMGvPP/5+0V1t27d6Nz584wMDBA48aNERYWlu9cwcHBaNCgAcqUKYP27dvj999/h0wmw61btz6a8b0kIiIF+/333yVzc3Ppxo0bpX7u3NxcaciQIZK7u7uUlZVV6ucnzXXhwoV3n5wwQZI6dHj/o04dSZLJJOnNtcrCPWSyN+3f1++ECQXO/PjxY0kmk0k//vjjJ48FIO3cuTPfc59//rm0ZMmSfMeYmZlJ69atk65fvy7duHFDmjVrlmRgYCB17txZio+Pl86ePStlZWVJbdu2lTw8PKTY2Fjp6tWr0nfffScZGxtLf/31lyRJkrRx40ZJR0dH6tixoxQbGyslJydL1tbWkouLiyRJkpSRkSH5+vpKDRo0kFJTU6XU1FQpIyPjnVwnTpyQtLW18/qVJEkKCQmRdHV1pYcPH773c71586YEQIqLi/vg+3Hv3j2pUqVK0uLFiyVJkqShQ4dKjRs3zssQEREhAZAaNGgghYSESGfPnpV69+4tVa1aVUpPT893TFpamiRJknTmzBlJS0tLmjlzpnT58mXJ399fMjQ0lP773//me8+NjY2lRYsWSVevXpWuXLnyzv+ft/kbNGggBQUFSVeuXJEGDx4smZiYSC9evJAkSZJu374t6enpSd9884106dIlaefOndJnn30mAZBu3rz5wc/7vV/nkiTxljcRKVRYWBjGjx+PI0eOoFatWqV+fi0tLaxbtw49e/aEj48PNm/eXKB9wolKXW7um/KwKCTpTftiunbtGiRJUugOP19++SWGDRuW77msrCxs3boVVapUAQCEh4cjKSkJaWlpKFu2LABg3rx52L9/P7Zu3YopU6YAeHN7fMWKFWjQoAEAYNKkSfDx8YEkSShbtiyMjIygo6Pz0du9rVu3RsOGDbF582ZMmzYNAPDbb7+ha9euMDMz++jn0r59+3d+fty7dw/ly5dH9erVsX79enz55Zd4/vw5AgICcPr06bzP563vv/8+bxOHjRs3wsLCAtu2bXvnPQIAPz8/dOjQAXPmzAEA1K9fH1evXsWiRYvw9ddf5x3XoUOHvPfoY7755pu8cZXz58/Hli1bkJSUBAcHB6xatQq1a9fOu0rboEEDXLlyBTNmzPhkv+/DgpKIFCYuLg4DBgzIu2Ujiq6uLnbs2AFXV1f4+vrCz89PJcZrkRpauvTjr02dCmRlFb5ffX1g4kRgwoQiBntDKoGVA1u0aPHOcxYWFnnFJADEx8cjIyPjnYLu9evXuH79et7H+vr6ecUkAFSvXh1ZWVl4+vRpocYyDh8+HCtXrsS0adPw5MkTBAYGYu/evZ9st23btncm/RgbG+f9u3v37ujfvz9++OEHLF68+J3xlsCbgvYtIyMjNGvWDBcuXHjv+S5evIguXbrke87BwQFz5szB8+fP84YPve89fh9LS8u8f1evXh0A8PB/wywuXbr0zlJrrVq1KlC/78OCkogU4tKlS+jatSs2bNgABwcH0XFgYGCAoKAgdOjQAYsWLcq7MkGkNOzs3ixSXpSCUkcHUMC6q/Xq1YNMJsPFixfRo0ePjx4rk8neKUCz37N8kaGh4Sefk8vlqFKlCqKiot459p9jrnV08pcpb/8wlMvlH836b4MGDcLUqVMRHR2NxMREmJmZ5dv69UMsLCxQt27dD77++vVrxMXFQVtbG9euXStUpsL65x/F73uP30f3H4vgF/W9KyjeByKiYrt79y7c3NywcOFCoctW/FvFihUREhKCtWvXYv369aLjEOXXuvWbHXCKokqVN+2LycTEBK6urli+fDlevnz5zuvPnj3L+7eZmRlSU1PzPn7w4EG+jwvDxsYGDx48gJaWFurWrZvvUbkQ74menh5yC3Dr38TEBD179sRvv/2G3377DUOGDFHIUJjJkycjMzMTYWFh2LhxI4KCgt455tSpU3n/Tk9Px7lz5z44xKBRo0aIiYnJ91x0dDQsLCzyXRlVhIYNG+abBAUAp0+fLnJ/LCiJqFiePHkCV1dXjBs3DkOGDBEd5x3Vq1dHaGgoZs6ciX379omOQ/T/ZLI32ykaGBSunYHBm3YKGsaxYsUKSJKEFi1aYOfOnbh8+TIuXbqEVatW5btl6uzsjBUrVuDMmTNITEyEt7d3kZcD69SpE9q2bYtu3brh0KFDuHnzJk6ePIlZs2a996rlh9SsWRO3b99GQkICHj16hMyPrOc5fPhwBAQEIDk5GT4+PgXq//Hjx7h//36+x6tXrwAAhw4dwpo1a+Dv7w8nJyfMnj0bw4YNw/379/P18cMPPyAsLAznz5+Hj48P9PT00L9///eez9fXF8eOHcPs2bNx5coVBAQE4Oeffy7QeMnCGjVqFK5fv45Jkybh8uXL2LNnD9asWQMARRoixIKSiIosPT0dnp6e6NKlCyZNmiQ6zgfVq1cPBw4cwIgRI3Ds2DHRcYj+31dfATY2b8ZEFoS+/pvtFwtYEBVE7dq1kZCQgM6dO2Pq1KmwtLSEs7MzgoKCsHbt2rzjfv75Z9SuXRuOjo7o3bs3hg0bVqirif8kk8lw8OBBODs7Y/jw4WjQoAH69OmDy5cv5431K4hevXrBw8MDHTt2hJmZGbZv3/7BYx0dHWFhYQFHR0fUrl27QP27ubmhWrVq+R4BAQFIS0vD0KFD8d133+WNO5w2bRoaNWqEoUOH5hsasHDhQvj6+sLGxgZXr17FgQMHPnjL2sbGBjt37sTu3bvRtGlTTJs2DdOmTcO4ceMK/J4U1Oeff47du3cjKCgIVlZW+OWXXzBr1iwAKNIfCtzLm4iKJDs7G926dUOVKlXw22+/qcSkl/DwcPTt2xeHDx+GtbW16DikZoq1l7eHx5sdcLiXd4l59eoVzM3N8euvv+at3ViSIiMj4eTkhLS0NJiampb4+RRh2bJlmDlzJp49e/bBn+ncy5uIFEYul8PHxwfa2tpYt26dShSTwJtbdqtWrUKXLl3yzSQlEsrICDh6FPDzA2rXBgwN31yJlMne/NfQ8M3zfn5vjmMxWShyuRwPHz7EDz/8gLJly6JPnz6iIymNFStW4PTp07h58ya2b9+OefPmwdvbu0g/0znLm4gKRZIk+Pr64tatWwgNDX1nFqay69WrFx49egRXV1dER0cL366MCMCb2d4jR77ZTvHkSSAuDnjxAjA2fjMb3N5eYWMmNc2ff/6JWrVqwcLCAhs3bsw381nTXbt2DfPnz8fjx49hYWGBUaNGYebMmUXqi7e8iahQFixYgO3bt+PYsWOoWLGi6DhF9sMPP2DXrl04duwYypcvLzoOqYEi3/ImUiG85U1ExbZ+/XqsW7cOISEhKl1MAsCMGTPQvn17dO3aFa9fvxYdh4hIpbGgJKIC2bt3L2bOnInQ0NBCzcJUVjKZDEuXLoW5uTn69u2LnJwc0ZGIiFQWC0oi+qTIyEiMHDkSBw4cQL169UTHURgtLS1s2rQJr169wsiRI0tkGzoiIk3AgpKIPioxMRF9+vTB77//DhsbG9FxFE5PTw+7d+/GuXPnMH36dNFxSMNJkoQ7d+7g1KlTOHbsGE6dOoU7d+7wjx1Seqo1PZOIStW1a9fQpUsXrFq1Cs7OzqLjlBgjIyMEBwejXbt2MDMzw7fffis6EmmY3NxcJCYmIiYmBunp6ZDL5cjNzYW2tja0tLRgaGiItm3bonnz5tDW1hYdl+gdLCiJ6L1SU1Ph6uqK2bNno1evXqLjlDhTU1OEhobCwcEBZmZmGDRokOhIpCGysrIQEBCA1NRUZGdn53stNzcXubm5ePbsGQ4fPoyzZ89iwIAB0NPTE5SW6P14y5uI3vHs2TO4u7vDx8cHI0aMEB2n1NSoUQMhISGYPHkygoODRcchDZCbm4uAgADcu3fvnWLy37Kzs3Hv3j0EBAQgNze3lBIqhqOjY4lsH1gQZ86cgUwmw61bt4ScX1OwoCSifF69eoVu3bqhQ4cOGjmmsHHjxti3bx+8vb1x4sQJ0XFIzSUmJiI1NbXABWJubi5SU1ORmJiosAxvd0b598Pe3l5h5yD1x4KSiPLk5OSgX79+MDc3xy+//KIyWyoqmr29PbZu3YoePXrg3LlzouOQmpIkCTExMZ+8Mvlv2dnZiImJUehEnU6dOiE1NTXf4+DBgwrrv7jejikl5cWCkogAvPnlNnLkSLx+/RqbNm2ClpZm/3hwc3PD0qVL4e7ujtu3b4uOQ2ro7t27SE9PL1Lb9PR03L17V2FZ9PX1UbVq1XwPExMTHDt2DLq6uoiMjMw7ds2aNShXrhxu3LgB4M3t7FGjRmHChAmoWLEiKlasiMmTJ0Mul3/wfE+fPsWQIUNQsWJFlC1bFp06dcL58+fzXt+0aROMjIxw8OBBNG3aFHp6erh48SKysrIwdepUWFhYwMDAAC1btkRoaGi+vkNCQtCwYUOUKVMG7dq1w5UrVxT2PtGHcVIOEQEApk+fjvPnz+Po0aMc8P8//fr1Q1paGlxcXBAdHQ0zMzPRkUjFhISE4P79++997fnz54W+OvlWdnY29u7di3Llyr3zWtWqVeHm5lakfv+tQ4cOmDx5MgYNGoSUlBQ8ePAA3377LVauXInatWvnHRcQEABvb2+cPHkSKSkpGD58OKpVq/bBFRO8vb1x+fJlBAYGomLFipgxYwbc3Nxw5coVlC1bFgDw+vVrzJs3D2vWrIGZmRmqVauGoUOH4vr169i2bRssLCxw8OBBeHl5IS4uDlZWVrhz5w66d++O4cOHY+zYsUhJSeGqDaWEBSURwc/PD4GBgYiKioKhoaHoOEpl/PjxSEtLg4eHB8LDw2FsbCw6EqmJj13BK432/xQSEgIjI6N8z40dOxaLFi3CnDlzEBYWhq+++gq3bt2Cp6cnhgwZku/YatWq4b///S9kMhkaNmyIK1euwM/P773F3NWrVxEUFIRjx46hffv2AICtW7eiRo0aCAgIwLBhwwC8GS+6fPly2NraAgCuX7+O7du349atW6hRowYAYNy4cThy5AjWrFmDlStXYtWqVahRo8Y7Wb7//nuFvVf0fiwoiTTc1q1bsWzZMkRHR6NSpUqi4yiluXPn4uHDh+jRoweCg4Ohr68vOhKpiI9dKTx16hSOHDlSpLGB2trasLe3V9jEmfbt22Pt2rX5nqtQoQIAQFdXF9u2bUOTJk1QuXJlhIeHv9Pe3t4+35jr1q1b4/vvv8fz58/fuYp68eJFaGlpoXXr1nnPlS9fHs2aNcOFCxfyntPR0YG1tXXexwkJCZAkCY0bN87XX2ZmZt46uRcvXnxvFip5LCiJNFhwcDAmT56MiIgIfPbZZ6LjKC2ZTIaVK1eiT58+GDRoELZv387FpanYzM3NoaWlVaSCUktLC+bm5grLYmBggLp1637w9VOnTkEul+PZs2dIS0vLKzYV7Z+FoL6+fr7vM7lcDplMhri4OOjq6uZr9/Y2OYmj2aPuiTRYTEwMvL29ERgYiEaNGomOo/S0tbUREBCAR48eYfz48dwKj4rNwsKiyENMjIyMYGFhoeBE73fz5k2MGzcOK1asQOfOnTFw4EDk5OTkOyY2Njbf98SpU6dQvXr1947xbNSoEeRyOU6ePJn33PPnz3H27Nl3rj7+U/PmzSFJEu7fv4+6devme7wtrhs1avTeLFTyWFASaaBz586hZ8+e8Pf3R6tWrUTHURllypTBvn37cPLkScydO1d0HFJxMpkMbdu2fedq26fo6uqiTZs2Cl3WKzMzE/fv38/3SEtLQ25uLgYNGoQOHTpg5MiRWL9+Pe7cuYM5c+bka//XX39h4sSJuHz5Mnbt2oUlS5bgm2++ee+56tWrh27dumHkyJGIiorC2bNnMXDgQJQrVw79+/f/YMb69etjwIAB8Pb2xq5du3Djxg2cOXMGP/30E/bs2QMAGDVqFG7dupUvy+rVqxX2PtGH8ZY3kYa5desW3N3dsXTpUri6uoqOo3LKlSuHQ4cO5W3ROGbMGNGRSIU1b94cZ8+exb179wp061tbWxvVqlVD8+bNFZrjyJEjqFatWr7nzM3NMXLkSFy7dg1nz54FAFSqVAmbN2+Gh4cHXF1d4eDgAAAYMGAAcnNz0apVK8hkMnz11VcfLCgBYOPGjZg4cSK6du2K169fo23btggJCfnkreuNGzfixx9/xJQpU3D37l2YmJjAzs4OTk5OAN7sdrVnzx58++23WLNmDWxtbbFw4UIMHDiwOG8PFYBM4n0bIo3x8OFDODg4YNy4cRg/frzoOCrt5s2baNeuHfz8/NCnTx/RcUgJXLx4sUjDRz62l/c/6erqolq1akq3l7ejoyOaNm2K5cuXi45CpeBDX+e8QkmkIV68eAEPDw98+eWXLCYVoFatWjh48CA6d+6MihUronPnzqIjkYrS09PD4MGDkZiYiJiYGKSnp+ftDKOtrQ0tLS0YGRmhTZs2aN68OSeEkVJiQUmkATIzM9GjRw/Y2tpy7J8CWVpaYteuXejVqxeCg4PRsmVL0ZFIRWlra6NFixawtbXF3bt3ce/ePWRlZUFPTw/m5uawsLDQ2K1QSTXwljeRmsvNzUXfvn0hl8vxxx9/8OpGCdi/fz9GjBiBiIgINGzYUHQcEqSot7yJVMmHvs45y5tIjUmShHHjxuHx48cICAhgMVlCvLy8sGDBAri5uSl0f2UiIlXBW95EamzOnDk4ffo0IiIiUKZMGdFx1Jq3tzfS0tLg6uqKqKgomJiYiI5ERFRqeIWSSE2tWLEC27Ztw6FDh967uDAp3uTJk+Hh4QFPT0+kp6eLjkNEVGo4hpJIDe3YsQO+vr6IiopCrVq1RMfRKHK5HD4+Pnj48CECAwMLvWg1qS5FjKGUJAkn757E6Xun8SLzBYz1jWFnbofWFq05KYeUwoe+zllQEqmZsLAwDBw4EEeOHEGzZs1Ex9FI2dnZ6NmzJypUqIDNmzdDS4s3gzRBcQrK7NxsbEjcgMUxi/Ew/SGy5dnIzs2GrrYudLV0UdmwMqa0nYKvmn8FXW3+kULisKAk0gBxcXHo0qUL9uzZk7eDBYmRkZEBV1dXtGjRAn5+fry6pAGKWlC+zHoJ9wB3JKQmICM744PHGegawLaaLQ4OOAgjPaPiRCUqMs7yJlJzly5dQteuXbFhwwYWk0rAwMAAQUFBOHr0KBYtWiQ6Dimp7NxsuAe4I+5e3EeLSQDIyM7A6Xun4RHggezcD++oo0je3t7w9PRUaJ+3bt2CTCbDmTNnFNrvv0VGRkImk+HRo0fF7svR0RHjxo1TQCr1xYKSSA3cvXsXbm5uWLhwIby8vETHof+pWLEiQkJCsHbtWqxfv150HFJCGxI3ICE1AZm5mQU6PjM3E/Gp8fgt8TeFZfD29oZMJnvnkZSUhGXLlsHf319h5yqotLQ0jBkzBjVr1oS+vj6qVKmCjh07IiwsrETPu2nTJhgZvXv1d8+ePViwYEGJnlvVcdkgIhX3+PFjuLi4YNy4cRgyZIjoOPQv1atXR2hoKDp06ABTU1N0795ddCRSEpIkYXHM4k9emfy3jOwMLI5ZjBG2IxQ2lKJTp07YunVrvudMTU2hoyOmTOjVqxcyMjKwYcMG1K1bFw8fPsSxY8fw+PFjIXm4DNin8QolkQpLT0+Hp6cnPD09MWnSJNFx6APq1auHAwcOYMSIETh27JjoOKQkTt49iYfpD4vU9kH6A5y8e1JhWfT19VG1atV8Dx0dnXdueTs6OmLMmDGYPn06TE1NUblyZUyaNAlyuTzvGH9/f7Rs2RLGxsaoXLkyvvjiC9y7d6/AWZ49e4aoqCgsXLgQHTt2xOeff46WLVti0qRJ6Nu3b95xT58+xZAhQ1CxYkWULVsWnTp1wvnz5z/Y7/uuPv7ztnhkZCSGDh2K9PT0vKu0s2fPzvu8/3nL+1Pnfnuuo0ePomnTpjA0NISTkxNu3rxZ4PdB1fAKJZGKys7ORu/evdGwYUOO0VMBNjY2+P333/HFF1/g8OHDsLa2Fh2JSsHEkIlIup/03tfuPr9b6KuTb2VkZ2Dw3sGwKGfxzmvWVa2x1G1pkfotiICAAEyYMAEnTpxAUlIS+vfvD1tbW/Tr1w8AkJWVhTlz5qBhw4Z49OgRpk6din79+uH48eMF6t/IyAhGRkYICgqCg4PDBzdl8Pb2xuXLlxEYGIiKFStixowZcHNzw5UrV1C2bNlCf15t2rTB0qVLMX36dFy/fj0vS1HPnZmZiQULFuC3335DmTJlMGTIEIwaNQqhoaGFzqYKeIWSSAXJ5XIMHToUOjo6WLduHWcQqwhnZ2esWrUKXbp0yfuFRZorV54LCUVbaEWChFx5rsKyhISE5BVyRkZGcHd3/+CxjRs3xty5c1G/fn306dMHTk5OOHr0aN7rPj4+8PDwQO3atWFnZ4dVq1YhKiqqwNuS6ujoYNOmTfD390eFChXQunVrTJo0CbGxsXnHXL16FUFBQVi7di3at2+PZs2aYevWrXj+/DkCAgKK9B7o6emhfPnykMlkeVdp31dQFvTcOTk5WLFiBezs7GBpaYlJkyYhMjIS6rq4Dq9QEqkYSZLw7bff4vbt2wgNDRU2xomKplevXnj06BFcXV0RHR2NqlWrio5EJehjVwqXnlqKqUemIis3q9D96mvrY6L9REywn1CMdP+vffv2WLt2bd7HH7vCZ2lpme/j6tWr4+HD/791n5CQgDlz5iApKQlPnjzJK6D+/PNPWFi8e0X1fXr16oUuXbogKioKJ0+eREhICH7++Wf8+OOPmD59Oi5evAgtLS20bt06r0358uXRrFkzXLhwoUDnKKqCnltfXx8NGjTI+7h69erIysrC06dP1XJMJq9QEqmYhQsXIjw8HEFBQTAwMBAdh4pg5MiR8Pb2hpubG549eyY6DgliZ24HXa2iLVKuo6WDluYtFZbFwMAAdevWzXuYm5t/8Nh/7/4kk8nyxlCmp6fD1dUVBgYG2Lp1K+Li4hASEgLgza3wwihTpgw6d+6MmTNn4sSJE/jqq68we/bsT/bzoTs2Wlpa71wdzM5W7PJL/zz3v//Yf/vaP8ebqhMWlEQqZP369Vi3bh1CQkJQsWJF0XGoGGbMmIH27dujW7duePXqleg4JEBri9aobFi5SG2rGFVBa4vWnz6wlF26dAmPHj3C/Pnz0b59ezRs2DDf1cviaNy4MXJycvD69Ws0atQIcrkcJ0/+/8Sk58+f4+zZs2jcuPF725uZmSEjIwPPnz/Pey4pKSnfMXp6esjN/fhQgqKcWxOwoCRSEXv37sXMmTMRGhqK6tWri45DxSSTybB06VKYm5ujX79+yMnJER2JSplMJsOUtlNgoFu4Ow0GugaY0maKUo6drlGjBvT19bF8+XLcuHEDwcHB+P777wvVx+PHj+Hs7Ax/f3+kpKTg5s2b2LlzJxYvXoyOHTuiXLlyqFevHrp164aRI0ciKioKZ8+excCBA1GuXDn079//vf22atUKhoaG+M9//oNr165h9+7dWLlyZb5jatasidevXyMsLAyPHj1CRsa7k6aKcm5NwIKSSAVERkZi5MiROHDgAOrVqyc6DimIlpYWNm3ahFevXmHkyJFqO1ifPuyr5l/BppoN9LX1C3S8vrY+bKvZwqe5TwknKxozMzNs3rwZ+/btQ+PGjTFnzhz4+fkVqg8jIyPY29tj2bJl6NChA5o0aYLp06ejf//+2LFjR95xGzduhJ2dHbp27Qo7OztkZGQgJCTkg+M/TUxMEBAQgLCwMDRr1gxr167FvHnz8h3Tpk0bjBo1Cv369YOZmRkWL1783r4Ke25NwL28iZRcYmIiXF1dsWPHDjg5OYmOQyXg5cuX6NixI5ydnbkbhworzl7eHgEeiE+N517epPS4lzeRCrp27Rq6dOmC1atXs5hUY0ZGRggODsa+ffsKfTWHVJ+RnhGODj4KPxc/1K5QG4a6htDX1ocMMuhr68NQ1xC1K9aGn4sfjg4+ymKSlBLXGyFSUqmpqXB1dcXs2bPRs2dP0XGohJmamiI0NBQODg4wMzPDoEGDREeiUqSrrYuRLUZihO0InLx7EnH34vAi6wWM9YxhZ24Hewt7pRwzSfQWC0oiJfTs2TO4u7vDx8cHI0aMEB2HSkmNGjUQEhICZ2dnmJiYoEuXLqIjUSmTyWRo81kbtPmsjegoRIXCW95ESubVq1fo1q0bOnTogOnTp4uOQ6WscePG2LdvH7y9vXHixAnRcYiICoQFJZESycnJQd++fWFubo5ffvmFt7g0lL29PbZu3YoePXrg3LlzouNQIXCeK6mzj319s6AkUhKSJGHEiBHIzMzEpk2boKXFb09N5ubmhl9++QXu7u64ffu26DhUALq6ulykntTaq1ev3tkp6S2OoSRSEv/5z39w4cIFHD16FHp6eqLjkBLo378/Hj16BBcXF0RHR8PMzEx0JPqIypUr4969ezA3N0fZsmV5h4HUhiRJePXqFe7du4cqVaq89xgWlERK4Oeff0ZQUBCioqJgaGgoOg4pkfHjxyMtLQ0eHh4IDw+HsbGx6Ej0AeXKlQMA/PXXXwrfI5pINF1dXVSpUiXv6/zfuLA5kWBbtmzB999/j+joaHz22Wei45ASkiQJo0aNwvXr1xEcHAx9/YLtqkJEVFpYUBIJFBwcjK+++goRERFF2mGDNEdubi769OkDbW1tbN++Hdra2qIjERHl4ah/IkFiYmLg7e2NwMBAFpP0Sdra2ggICMCjR48wfvx4ziYmIqXCgpJIgHPnzqFnz57w9/dHq1atRMchFVGmTBns27cPJ0+exJw5c0THISLKw0k5RKXs1q1bcHd3x9KlS+Hq6io6DqmYcuXK4dChQ3lbNI4dO1Z0JCIiFpREpenhw4dwcXHB5MmT0a9fP9FxSEVVqVIFhw8fRrt27WBqaoovv/xSdCQi0nAsKIlKyYsXL+Dh4YEvv/wS48ePFx2HVFytWrVw8OBBdO7cGSYmJujcubPoSESkwTjLm6gUZGZmokuXLqhbty5WrVrFBY9JYaKiotCrVy8EBwejZcuWouMQkYZiQUlUwnJzc9G3b19IkoQdO3ZwuRdSuP3792PEiBGIiIhAw4YNRcchIg3EWd5EJUiSJIwbNw5PnjxBQEAAi0kqEV5eXliwYAHc3Nxw9+5d0XGISANxDCVRCZozZw5Onz6NiIgI7m5CJcrb2xtpaWlwdXVFVFQUTExMREciIg3CW95EJWT58uX473//i+joaFSuXFl0HNIQkydPRkxMDMLCwrgvPBGVGhaURCXg999/x6RJkxAVFYVatWqJjkMaRC6Xw8fHBw8fPkRgYCB0dXVFRyIiDcCCkkjBDh8+jEGDBuHIkSNo1qyZ6DikgbKzs9GzZ09UqFABmzdvhpYWh8sTUcniTxkiBTp9+jQGDhyI3bt3s5gkYXR1dbFjxw7cvHkTvr6+3PebiEocC0oiBbl06RK6du2KDRs2wMHBQXQc0nAGBgbYv38/jhw5gkWLFomOQ0RqjrO8iRTg7t27cHV1xaJFi+Dl5SU6DhEAoGLFiggNDYWDgwNMTU0xbNgw0ZGISE2xoCQqpsePH8PFxQVff/01hgwZIjoOUT7Vq1dHaGgoOnToAFNTU3Tv3l10JCJSQ5yUQ1QM6enp6NSpE9q1a4fFixeLjkP0QQkJCXBzc8POnTvRoUMH0XGISM2woCQqouzsbHTt2hVVq1bFb7/9xv25SemFh4ejb9++OHz4MKytrUXHISI1wkk5REUgl8sxdOhQ6OjoYN26dSwmSSU4Oztj1apV6NKlC65fvy46DhGpEY6hJCokSZLw7bff4vbt2wgNDYWODr+NSHX06tULjx49gouLC6Kjo1GtWjXRkYhIDfA3IVEhLVy4EOHh4Th27BgMDAxExyEqtJEjRyItLQ3u7u6IjIxEhQoVREciIhXHMZREhbB+/XrMnz8f0dHRqF69uug4REUmSRImTJiA5ORkhISEoGzZsqIjEZEKY0FJVEB79+7F2LFjcezYMdSrV090HKJik8vlGDhwIDIyMrBr1y4O3yCiImNBSVQAkZGR6NOnD0JCQmBjYyM6DpHCZGVlwcvLCxYWFli/fj0nmBFRkXCWN9EnJCYmok+fPtixYweLSVI7enp62L17N86dO4fp06eLjkNEKooFJdFHXLt2DV26dMHq1avh5OQkOg5RiTAyMkJwcDD27dsHPz8/0XGISAVxwAzRB6SmpsLFxQWzZ89Gz549RcchKlGmpqZ5+36bmZlh0KBBoiMRkQphQUn0Hs+ePYObmxu++uorjBgxQnQcolJRo0YNhISEwNnZGSYmJujSpYvoSESkIjgph+hfXr16BVdXVzRv3hxLly7lJAXSOKdOnYKXlxcCAwPRpk0b0XGISAWwoCT6h5ycHPTq1QuGhobw9/eHlhaHGZNmCgkJwZAhQ3D06FE0bdpUdBwiUnL8bUn0P5IkYcSIEcjMzMSmTZtYTJJGc3Nzwy+//AJ3d3fcvn1bdBwiUnIcQ0n0P//5z39w4cIFHD16FHp6eqLjEAnXv3//fPt+m5mZiY5EREqKBSURgJ9//hlBQUGIioqCoaGh6DhESmP8+PF4+PAhPDw8EB4eDmNjY9GRiEgJcQwlabwtW7bg+++/R3R0ND777DPRcYiUjiRJGDVqFK5fv47g4GDo6+uLjkRESoYFJWm04OBgfPXVV4iIiECjRo1ExyFSWrm5uejTpw+0tbWxfft2aGtri45EREqEsw5IY8XExMDb2xuBgYEsJok+QVtbGwEBAXj06BHGjRsHXosgon9iQUka6dy5c+jZsyf8/f3RqlUr0XGIVEKZMmWwb98+xMbGYs6cOaLjEJES4aQc0ji3bt2Cu7s7li5dCldXV9FxiFRKuXLlcOjQobwtGseOHSs6EhEpARaUpFEePnwIFxcXTJkyBf369RMdh0glValSBYcPH0a7du1gamqKL7/8UnQkIhKMBSVpjBcvXsDDwwN9+/bF119/LToOkUqrVasWDh48iM6dO8PExASdO3cWHYmIBOIsb9IImZmZ8PDwQL169bBq1Sruz02kIFFRUejVqxeCg4PRsmVL0XGISBAWlKT2cnNz0bdvX0iShB07dnC5EyIF279/P0aMGIGIiAg0bNhQdBwiEoCzvEmtSZKEsWPH4smTJwgICGAxSVQCvLy8sGDBAri5ueHu3bui4xCRABxDSWpt9uzZiIuLQ0REBHf3ICpB3t7eSEtLg6urK6KiomBiYiI6EhGVIt7yJrW1fPly/Pe//0V0dDQqV64sOg6RRpg8eTJiYmIQFhYGQ0ND0XGIqJSwoCS19Pvvv2PSpEmIiopCrVq1RMch0hhyuRw+Pj54+PAhAgMDoaurKzoSEZUCFpSkdg4fPoxBgwbhyJEjaNasmeg4RBonOzsbPXv2RIUKFbB582ZoaXG4PpG643c5qZXTp09j4MCB2L17N4tJIkF0dXWxY8cO3Lx5E76+vtz3m0gDsKAktXHp0iV07doVGzZsgIODg+g4RBrNwMAA+/fvx5EjR7Bo0SLRcYiohHGWN6mFu3fvwtXVFYsWLYKXl5foOEQEoGLFiggNDUXbtm1hamqKYcOGiY5ERCWEBSWpvMePH8PFxQVff/01hgwZIjoOEf1D9erVcfjwYXTo0AGmpqbo3r276EhEVAI4KYdUWnp6Ojp16oR27dph8eLFouMQ0QckJCTAzc0Nf/zxBxwdHUXHISIFY0FJKis7Oxtdu3ZF1apV8dtvv3F/biIlFx4ejr59+yI0NBTNmzcXHYeIFIiTckglyeVyDB06FDo6Oli3bh2LSSIV4OzsjFWrVqFLly64du2a6DhEpEAcQ0kqR5IkfPvtt7h9+zYOHz4MHR1+GROpil69euHRo0dwdXVFdHQ0qlWrJjoSESkAfxOTylmwYAHCw8Nx/PhxlC1bVnQcIiqkkSNHIi0tDe7u7oiMjESFChVERyKiYuIYSlIp69atw4IFCxATE8MrG0QqTJIkTJgwAcnJyQgJCeEfh0QqjgUlqYw9e/Zg3LhxOHbsGOrVqyc6DhEVk1wux8CBA5GRkYFdu3Zx+AqRCmNBSSohIiICX375JUJCQmBjYyM6DhEpSFZWFry8vGBhYYH169dzgh2RiuIsb1J6iYmJ+PLLL7Fjxw4Wk0RqRk9PD7t378a5c+cwffp00XGIqIhYUJJSu3btGrp06YLVq1fDyclJdBwiKgFGRkYIDg7Gvn374OfnJzoOERUBB6yQ0kpNTYWLiwtmz56Nnj17io5DRCXI1NQUoaGhcHBwgJmZGQYNGiQ6EhEVAgtKUkrPnj2Dm5sbvvrqK4wYMUJ0HCIqBTVq1EBISAicnZ1hYmKCLl26iI5ERAXESTmkdF69egVXV1c0b94cS5cu5SB9Ig1z6tQpeHl5ITAwEG3atBEdh4gKgAUlKZWcnBz06tULhoaG8Pf3h5YWh/kSaaKQkBAMGTIER48eRdOmTUXHIaJP4G9rUhqSJGHEiBHIzMzEpk2bWEwSaTA3Nzf88ssvcHd3x+3bt0XHIaJP4BhKUhr/+c9/cOHCBRw9ehR6enqi4xCRYP3798ejR4/g4uKC6OhomJmZiY5ERB/AgpKUws8//4ygoCBERUXB0NBQdBwiUhLjx4/Hw4cP4eHhgfDwcBgbG4uORETvwTGUJNyWLVvw/fffIzo6Gp999pnoOESkZCRJwqhRo3D9+nUEBwdDX19fdCQi+hcWlCTUgQMHMGzYMERERKBRo0ai4xCRksrNzUWfPn2gpaWF33//Hdra2qIjEdE/cNYDCRMdHY2hQ4ciMDCQxSQRfZS2tjYCAgLw+PFjjBs3DrwWQqRcWFCSEGfPnkWvXr0QEBCAVq1aiY5DRCqgTJky2LdvH2JjYzFnzhzRcYjoHzgph0rdrVu34O7ujqVLl8LFxUV0HCJSIeXKlcOhQ4fytmgcO3as6EhEBBaUVMoePnwIFxcXTJ06Ff369RMdh4hUUJUqVXD48GG0a9cOpqam+PLLL0VHItJ4LCip1Dx//hzu7u7o27cvvv76a9FxiEiF1apVCwcPHkTnzp1hYmKCzp07i45EpNE4y5tKRWZmJjw8PFCvXj2sWrWK+3MTkUJERUWhV69eCA4ORsuWLUXHIdJYLCipxOXm5qJv376QJAk7duzgch9EpFD79+/HiBEjEBERgYYNG4qOQ6SROMubiu1jf5NIkoSxY8fiyZMnCAgIYDFJRArn5eWFBQsWwM3NDXfv3v3gcbx+QlRyOIaSCi0rKwvh4eFIT0/Pt+d2dnY2tLS04OzsjHLlygEAZs+ejbi4OERERHB3CyIqMd7e3khLS4OrqyuioqJgYmICSZJw4sQJpKamQk9PL2+oTU5ODnJzc2Fvbw8LCwvByYnUA295U6EcPHgQOTk5cHZ2hpGR0TuvZ2dnIyIiAn///Tf++usvrFixAtHR0ahcubKAtESkaSZPnoyYmBgsWLAAjx49QuvWrVG9evV3jpMkCbGxsbhx4wbc3d1RsWJFAWmJ1AcLSiqQt+MfHR0dUbVq1U8en5GRgaFDh2Lu3Llo0KBBKSQkIgLkcjmGDBmC4cOHo3379p88XpIk7Ny5Ew4ODu8tPImoYDiGUs15e3tDJpPlPUxNTeHp6YlLly4Vqp/AwEB07NixQMUkABgYGGDr1q04efIkxy0RUYE8ePAAEyZMQJ06daCvrw9zc3O4u7vj4MGDBe4jLi4Ovr6+BSomAUAmk6FPnz6IiIjAy5cvixqdSOOxoNQAnTp1QmpqKlJTU3H48GG8evUKPXr0KHD7R48eoUKFCjAzMyvUefX09ODs7Iy4uLjCRiYiDXPr1i3Y2NggNDQUCxYsQEpKCo4cOYIuXbpg1KhRBepDkiTcuXMH1tbWhT5/3759cfjw4UK3I6I3OClHA+jr6+ddWaxatSq++eYbeHl54dWrVyhbtuwn2x8/fhzdu3cv0rlr1KiBuLg42NnZFak9EWmGMWPGAADOnDmTb3x2o0aNMHDgwAL1cfLkSbRu3bpI59fW1oYkSZDL5dDS4rUWosLid42GefHiBXbs2IFmzZoVqJjMzc2FTCYr1g9YU1NTpKWlFbk9Eam3J0+eICQkBGPHjn3vZL8KFSoUqJ+//voL5ubmRc7Rrl07REVFFbk9kSZjQakBQkJCYGRkBCMjI5QrVw7Hjh3Dtm3bCtT21q1bqF+/frHO365dO8TGxharDyJSX9euXYMkSWjUqFGx+vnnMmZFUblyZfz999/F6oNIU7Gg1ADt27dHUlISkpKScPr0aXTs2BEuLi64c+fOJ9s+e/as2MtpaGlpQS6XF6sPIlJfnLhHpPpYUGoAAwMD1K1bF3Xr1kXLli2xfv16PH/+HGvXrv1kWz09PWRlZRU7A/fuJqIPqVevHmQyGS5evFisfhTxc4Y/q4iKhgWlBno7JjIjI+OTx1atWvWjW5kVxNOnT2FsbFysPohIfZmYmMDV1RXLly9/79I9z549K1A/OTk5xcohSVKx+yDSVCwoNUBmZibu37+P+/fv4+LFi/j666/x8uVLeHl5fbKtmZkZHjx4UKzzR0ZGol27dsXqg4jU24oVKyBJElq0aIGdO3fi8uXLuHTpElatWgVLS8sC9ZGbm1us2+dxcXGwsbEpcnsiTcZlgzTAkSNHUK1aNQCAsbExGjZsiJ07d8LR0bFA7StUqICnT58WaSylXC6HXC6HtrZ2odsSkeaoXbs2EhISMH/+fEydOhX37t1DpUqVYGVlVaDhOQDQpk0bnDhxAm3bti1Shj///JNLnBEVEbdepE/Kzc3Frl278OWXXxa67ZEjR2Bpacm9vImoVGzbtg39+vUr9FjI27dv486dO3BwcCihZETqjbe86ZO0tbVhZWWFyMjIQrU7f/489PX1WUwSUanx8PDA77//Xqg2T548QWxsLItJomJgQUkF0rBhQ5iYmGDjxo0FGqN08OBB3L9/n2MniahUVahQAc7OzliyZEmBJthcvHgRgYGB+OKLL0ohHZH64hhKKrBbt27hhx9+gL6+PoyMjNCxY0cYGhrmvZ6Tk4OIiAg8e/YMK1euROfOndGxY0eBiYlIE6Wnp2PRokUoX748KlWqBAcHB1SpUiXvdUmScPr0ady5cwcRERG4c+cOvL29xQUmUgMcQ0kFkpaWBisrK/z+++9o3749MjMzER4ejpycHEiSBJlMBkmS0KFDB5QvXx5//vknbG1tERYWBmtra9HxiUhD5ObmwsnJCd26dYOvry8kSUJMTAyePHkC4M2yabm5ubCxsUGNGjWQlZUFOzs7jB8/Hj4+PoLTE6kuFpT0SZIkoXfv3qhduzaWLFlS4HZbtmzBkiVLcObMGejr65dgQiKiN37++WcEBQUhPDy8wKtLnD17Fs7OzoiLi0PNmjVLNiCRmmJBSZ/k7++PhQsX4syZMyhTpkyB20mShJ49e6J+/fpYtGhRCSYkInozEdDR0RGnT59GrVq1CtV28eLFOHjwIMLDw6GlxekFRIXFgpI+6u7du7CxsUFISEiRFvx9+PAhrKyssHPnTs6gJKISk5WVBXt7e4wZMwbDhg0rdPvc3Fx06NABvXv3xsSJExUfkEjNsaCkD5LL5XB1dUX79u3x/fffF7mfffv2wdfXF8nJyTAyMlJgQiKiN2bOnImEhATs37+/yPtxX79+Hfb29jh27BgaN26s4IRE6o0FJX3QihUrsGXLFsTExEBHp3gLAnh7e6NMmTJYvXq1gtIREb1x+vRpeHl5ISkpKW9XsKJas2YN1q1bh5MnT0JXV1dBCYnUHwtKeq+rV6+idevWiI6ORsOGDYvd399//w1LS0usXr0a7u7uCkhIRARkZGTAxsYGc+fORZ8+fYrdnyRJ8PDwgL29PWbNmqWAhESagQUlvSMnJwft2rVDv379MH78eIX1e/ToUQwZMgQpKSkwMTFRWL9EpLkmTJiAtLQ0bNu2TWF93rt3DzY2NggODkaLFi0U1i+ROmNBSe9YsGABwsLCcOTIEYXPdhw/fjwePXqk0B/+RKSZwsPDMXjw4BL5I3X79u2YN28e4uPjUbZsWYX2TaSOWFBSPsnJyejUqRPi4+NRo0YNhfefkZGB5s2bY968eQq5PUVEmuntMJo1a9bAzc1N4f1LkoS+ffvC3Nwcfn5+Cu+fSN2woKQ8mZmZaNmyJXx9fTFkyJASO48iB9ATkWYaOnQo9PX1S3Si3+PHj2FpaYmAgAA4OjqW2HmI1AELSsozbdo0XLp0CXv37i3yshsF9f333yMhIQEHDhwo8XMRkXoJDAzEt99+WypLkQUHB2PcuHFITk5GuXLlSvRcRKqMBSUBAGJiYtC7d28kJyejcuXKJX6+4i5CTESaScRmCcOHD4ckSVi/fn2pnI9IFbGgJLx8+RLW1tZYsmQJevToUWrnPXfuHBwdHREXF1fobdKISPNIkoRevXqhXr16pbqd64sXL2BlZYVly5bBy8ur1M5LpEpYUBLGjBmD9PR0bN68udTP/dNPPyEoKAgRERHQ1tYu9fMTkerYunUrFi9ejDNnzkBfX79Uz338+HH07dsXKSkpMDU1LdVzE6kCFpQaLjQ0FMOHD0dKSgoqVKhQ6ufPzc2Fk5MTunXrBl9f31I/PxGphjt37sDW1haHDx+GtbW1kAyTJk3CrVu3sHPnTo79JvoXFpQa7OnTp2jWrBk2bdqETp06Cctx48YN2NnZ4dixY2jSpImwHESknORyOVxcXODs7Izp06cLy/H69WvY2tpi+vTpGDBggLAcRMqIBaUGGzBgAExMTPDrr7+KjoK1a9di9erVOHXqFPT09ETHISIlsnz5cgQEBCAqKgo6OjpCsyQkJMDNzQ0JCQmwsLAQmoVImbCg1FA7d+7Ed999h8TERBgYGIiOA0mS0KVLF7Ro0QJz584VHYeIlMSVK1fQpk0bnDhxAvXr1xcdBwAwb948REdHIyQkhLe+if6HBaUGSk1NhbW1NQIDA2Fvby86Tp6//voLzZs3x/79+2FnZyc6DhEJlpOTAwcHBwwcOBDjxo0THSdPTk4O2rRpg6FDh2L06NGi4xApBRaUGkaSJHh5ecHa2ho//PCD6Djv2LFjB2bNmoXExETun0uk4X788UdERkYiNDQUWlpaouPkc+nSJTg4OODUqVOoW7eu6DhEwrGg1DAbNmzA8uXLERsbq7RjFfv164cqVapg6dKloqMQkSCJiYlwdXVFfHw8PvvsM9Fx3mvZsmXYsWMHoqKiuOwZaTwWlBrk5s2baNmyJSIjI9G0aVPRcT7oyZMnsLS0xJYtW+Ds7Cw6DhGVsszMTLRo0QJTpkzBoEGDRMf5ILlcjk6dOsHFxQXTpk0THYdIKBaUGkIul8PJyQmenp6YPHmy6DifdOjQIYwaNQopKSkoX7686DhEVIqmTp2Kq1evYvfu3Uo/6eX27dto0aIFjh49CktLS9FxiIRhQakh/Pz8sHfvXkRGRqrMrZmRI0ciKysLGzduFB2FiEpJdHQ0vvjiC6SkpMDMzEx0nALZtGkTfvnlF5w+fbrUd/AhUhYsKDXAhQsX0L59e8TGxqJOnTqi4xTYy5cvYWVlBT8/P3Tr1k10HCIqYar6PS9JEnr06IHGjRtj/vz5ouMQCcGCUs1lZ2fD3t4eI0aMwMiRI0XHKbSoqCj06dNHpa5WEFHRjBo1CpmZmSp5V+Lhw4ewsrLC7t270aZNG9FxiEodC0o1N3v2bMTGxuLgwYNKPxbpQ6ZMmYJr166pxHgqIiqaQ4cOYfTo0UhOTlbZcdN79+7FlClTkJSUBENDQ9FxiEoVC0o1FhcXhy5duiApKQnVq1cXHafIXr9+jRYtWmDq1KlKPeOTiIrm7coOW7duhZOTk+g4xTJ48GAYGxtjxYoVoqMQlSoWlGrq1atXsLGxwaxZs9C3b1/RcYotMTERLi4uSEhIUNo16YioaNRp7dlnz57B0tIS69evh4uLi+g4RKWGBaWa+uabb/DXX39hx44doqMozA8//IDIyEgcPnxY6XbNIKKiUcfdsY4cOYKhQ4ciJSUFFStWFB2HqFSwoFRDERERGDhwIFJSUlCpUiXRcRQmJycHbdu2xaBBg5RqX18iKprU1FRYW1tj//79sLOzEx1Hob7++ms8ffoU/v7+oqMQlQoWlGrm+fPnsLS0xMqVK+Hh4SE6jsJdvnwZbdu2xYkTJ1C/fn3RcYioiCRJgqenJ2xtbTF37lzRcRQuIyMD1tbWmD9/Pnr37i06DlGJY0GpZnx8fKCjo4O1a9eKjlJifv31VwQEBCA6Oho6Ojqi4xBREaxbtw6rV6/GyZMnoaenJzpOiTh16hS6d++OpKQkVK1aVXQcohLFglKNBAUFYeLEiUhOToaxsbHoOCVGLpfDxcUFzs7OmD59uug4RFRIN27cQKtWrRAZGYkmTZqIjlOiZsyYgbNnzyIwMJDLnpFaY0GpJtLS0mBlZYUdO3agXbt2ouOUuDt37sDGxgZhYWGwtrYWHYeICig3NxdOTk7o1q0bfH19RccpcVlZWbCzs8P48ePh4+MjOg5RiWFBqQYkSULv3r1Ru3ZtLFmyRHScUrNlyxYsWbIEZ86c4f65RCri559/RmBgICIiIqCtrS06Tqk4e/YsnJ2dERcXh5o1a4qOQ1QiWFCqAX9/fyxcuBBnzpxBmTJlRMcpNZIkoWfPnqhfvz4WLVokOg4RfcL58+fh6OiI2NhY1K5dW3ScUrV48WIcPHgQ4eHhXPaM1BILShV39+5d2NjYICQkBDY2NqLjlLq3++fu3LkTDg4OouMQ0QdkZWXB3t4eY8aMwbBhw0THKXW5ubno0KEDevfujYkTJ4qOQ6RwLChVmFwuh6urK9q3b4/vv/9edBxh9u3bB19fXyQnJ8PIyEh0HCJ6j5kzZyIhIQH79+/X2Mkp169fh729PY4dO4bGjRuLjkOkUCwoVdiKFSuwZcsWxMTEaPzyOd7e3ihTpgxWr14tOgoR/cvp06fh5eWFpKQkVKtWTXQcodasWYN169bh5MmT0NXVFR2HSGFYUKqoq1evonXr1oiOjkbDhg1FxxHu77//hqWlJVavXg13d3fRcYjofzIyMmBjY4O5c+eiT58+ouMIJ0kSPDw8YG9vj1mzZomOQ6QwLChVUE5ODtq1a4d+/fph/PjxouMojaNHj2LIkCFISUmBiYmJ6DhEBGDChAlIS0vDtm3bREdRGvfu3YONjQ2Cg4PRokUL0XGIFIIFpQpasGABjhw5grCwMM4W/Bf+8iJSHuHh4Rg8eDD/yHuP7du3Y968eYiPj0fZsmVFxyEqNhaUKiY5ORmdOnVCfHw8atSoITqO0snIyEDz5s0xb9483l4jEujtMJQ1a9bAzc1NdBylI0kS+vbtC3Nzc/j5+YmOQ1RsLChVSGZmJlq2bAlfX18MGTJEdBylxQkAROINHToU+vr6nCj3EY8fP4alpSUCAgLg6OgoOg5RsbCgVCHTpk3DpUuXsHfvXo1ddqOgvv/+eyQkJODAgQN8r4hKWWBgIL799lsu5VUAwcHBGDduHJKTk1GuXDnRcYiKjAWlioiJiUHv3r2RnJyMypUri46j9DR9EWUiUbjZQOENHz4ckiRh/fr1oqMQFRkLShXw8uVLWFtbY8mSJejRo4foOCrj3LlzcHR0RFxcHGrVqiU6DpHakyQJvXr1Qr169bgdaiG8ePECVlZWWLZsGby8vETHISoSFpQqYMyYMUhPT8fmzZtFR1E5P/30E4KCghAREQFtbW3RcYjU2tatW7F48WKcOXMG+vr6ouOolOPHj6Nv375ISUmBqamp6DhEhcaCUsmFhoZi+PDhSElJQYUKFUTHUTm5ublwcnJCt27d4OvrKzoOkdq6c+cObGxsEBYWBmtra9FxVNKkSZNw+/Zt/PHHHxz7TSqHBaUSe/r0KSwtLbFx40Z06tRJdByVdePGDbRq1QqRkZFo0qSJ6DhEakcul8PFxQXOzs6YPn266Dgq6/Xr17C1tcWMGTPQv39/0XGICoUFpRIbMGAATExM8Ouvv4qOovLWrl2L1atX49SpU9DT0xMdh0itLF++HAEBAYiKioKOjo7oOCotISEBbm5uSEhIgIWFheg4RAXGglJJ7dy5E9999x0SExNhYGAgOo7KkyQJXbp0QYsWLTB37lzRcYjUxpUrV9CmTRucOHEC9evXFx1HLcybNw/R0dEICQnhrW9SGSwolVBqaiqsra0RFBSEVq1aiY6jNt6+r/v374ednZ3oOEQqLycnBw4ODhg4cCDGjRsnOo7ayMnJQZs2bTB06FCMHj1adByiAmFBqWQkSYKXlxesra3xww8/iI6jdnbs2IFZs2YhMTGR++cSFdOPP/6IyMhIhIaGQktLS3QctXLp0iU4ODjg1KlTqFu3rug4RJ/EglLJbNiwAcuXL0dsbCzH+pWQfv36oUqVKli6dKnoKEQqKzExEa6uroiPj8dnn30mOo5aWrZsGXbs2IGoqCgue0ZKjwWlErl58yZatmyJyMhING3aVHQctfXkyRNYWlpiy5YtcHZ2Fh2HSOVkZmaiRYsWmDJlCgYNGiQ6jtqSy+Xo1KkTXFxcMG3aNNFxiD6KBaWSkMvlcHJygqenJyZPniw6jto7dOgQRo0ahZSUFJQvX150HCKVMnXqVFy9ehW7d+/mpJESdvv2bbRo0QJHjx6FpaWl6DhEH8SCUkn4+flh7969iIyM5K2NUjJy5EhkZWVh48aNoqMQqYzo6Gh88cUXSElJgZmZmeg4GmHTpk345ZdfcPr0ae5AREqLBaUSuHDhAtq3b4/Y2FjUqVNHdByN8fLlS1hZWcHPzw/dunUTHYdI6fF7RgxJktC9e3c0adIE8+fPFx2H6L1YUAqWnZ0Ne3t7jBgxAiNHjhQdR+NERUWhT58+vNpCVACjRo1CZmYmr+oL8ODBA1hZWWHPnj1o06aN6DhE72BBKdjs2bMRGxuLgwcPciySIFOmTMG1a9c4HozoIw4dOoTRo0cjOTmZ444F2bt3L6ZMmYKkpCQYGhqKjkOUDwtKgeLi4uDp6YnExERUr15ddByN9fr1a7Rs2ZIzVok+4O3KCFu3boWTk5PoOBpt8ODBMDY2xooVK0RHIcqHBaUgr169go2NDWbNmoW+ffuKjqPxEhMT4eLigoSEBK6pR/QvXLtVeTx79gyWlpZYv349XFxcRMchysOCUpBvvvkGqamp+P3330VHof/58ccfERERgcOHD3PXD6L/4e5SyufIkSMYOnQoUlJSULFiRdFxiACwoBQiIiICAwcOREpKCipVqiQ6Dv0P9yUmyi81NRXW1tbYv38/7OzsRMehf/j666/x9OlT+Pv7i45CBIAFZal7/vw5LC0tsXLlSnh4eIiOQ/9y+fJltG3bFidOnED9+vVFxyESRpIkeHp6wtbWFnPnzhUdh/4lIyMD1tbWmD9/Pnr37i06DhELytLm4+MDHR0drF27VnQU+oBff/0VAQEBiI6Oho6Ojug4REKsW7cOq1evxsmTJ6Gnpyc6Dr3HqVOn0L17dyQlJaFq1aqi45CGY0FZioKCgjBx4kQkJyfD2NhYdBz6ALlcDhcXFzg7O2P69Omi4xCVuhs3bqBVq1aIjIxEkyZNRMehj5gxYwbOnj2LwMBALntGQrGgLCVpaWmwsrLCjh070K5dO9Fx6BPu3LkDGxsbhIWFwdraWnQcolKTm5sLJycndOvWDb6+vqLj0CdkZWXBzs4O48ePh4+Pj+g4pMFYUJYCSZLQu3dv1K5dG0uWLBEdhwpoy5YtWLJkCc6cOcP9c0lj/PzzzwgMDERERAS0tbVFx6ECOHv2LJydnREXF4eaNWuKjkMaigVlKfD398fChQtx5swZlClTRnQcKiBJktCzZ0/Ur18fixYtEh2HqMSdP38ejo6OiI2NRe3atUXHoUJYvHgxDh48iPDwcC57RkKwoCxhd+/ehY2NDUJCQmBjYyM6DhXSw4cPYWVlhZ07d8LBwUF0HKISk5WVBXt7e4wePRrDhw8XHYcKKTc3Fx06dEDv3r0xceJE0XFIA7GgLEGSJMHV1RXt27fHd999JzoOFVFgYCC+/fZbJCcnw8jISHQcohIxc+ZMxMfH48CBA5zcoaKuX7+OVq1aISoqCo0aNRIdhzQMC8oStHLlSmzevBkxMTFcfkbFeXt7o2zZsli1apXoKEQKd/r0aXh5eSEpKQnVqlUTHYeKYc2aNVi/fj1OnDgBXV1d0XFIg7CgLCFXr15F69atERMTgwYNGoiOQ8X0999/w9LSEqtXr4a7u7voOEQKk5GRARsbG8ydOxd9+vQRHYeKSZIkeHh4wN7eHrNmzRIdhzQIC8oSkJOTg3bt2qFfv34YP3686DikIOHh4Rg8eDBSUlJgYmIiOg6RQkyYMAFpaWnYtm2b6CikIPfu3YONjQ2Cg4PRokUL0XFIQ7CgLAELFizAkSNHEBYWxtl2aoa/fEmd8I8k9bV9+3bMmzcP8fHxKFu2rOg4pAFYUCpYcnIyOnXqhPj4eNSoUUN0HFKwjIwMNG/eHPPmzePtQVJpb4dxrFmzBm5ubqLjkIJJkoS+ffvC3Nwcfn5+ouOQBmBBqUCZmZlo2bIlfH19MWTIENFxqIRwAgOpg6FDh0JfXx+rV68WHYVKyOPHj2FpaYmAgAA4OjqKjkNqjgWlAk2bNg2XLl3C3r17ueyGmvv++++RkJDAJVZIJXEpLM0RHByMcePGITk5GeXKlRMdh9QYC0oFiYmJQe/evZGcnIzKlSuLjkMl7O0i0GPGjMGwYcNExyEqMC7Wr3mGDx8OSZKwfv160VFIjbGgVICXL1/C2toaS5YsQY8ePUTHoVJy7tw5ODo6Ii4uDrVq1RIdh+iTJElCr169UK9ePW4nqkFevHgBKysrLFu2DF5eXqLjkJpiQakAY8aMQXp6OjZv3iw6CpWyn376CUFBQYiIiIC2trboOEQftXXrVixevBhnzpyBvr6+6DhUio4fP46+ffsiJSUFpqamouOQGmJBWUyhoaEYMWIEkpOTUaFCBdFxqJTl5ubCyckJ3bp1g6+vr+g4RB90584d2NjYICwsDNbW1qLjkACTJk3C7du38ccff3DsNykcC8piePr0KSwtLbFp0yZ07NhRdBwS5MaNG2jVqhUiIyPRpEkT0XGI3iGXy+Hi4gJnZ2dMnz5ddBwS5PXr17C1tcWMGTPQv39/0XFIzbCgLIYBAwagUqVK+O9//ys6Cgm2bt06rF69GqdOneL+uaR0li9fjoCAAERFRUFHR0d0HBIoISEBbm5uSExMhLm5ueg4pEZYUBbRzp078d133yExMREGBgai45BgkiShS5cuaNmyJebMmSM6DlGeK1euoG3btoiJiUH9+vVFxyElMG/ePERHRyMkJIS3vklhWFAWQWpqKqytrREUFIRWrVqJjkNK4u3Xxf79+2FnZyc6DhFycnLg4OCAgQMHYty4caLjkJLIyclBmzZtMHToUIwePVp0HFITLCgLSZIkeHl5wdraGj/88IPoOKRkduzYgVmzZiExMZH755JwP/74IyIjIxEaGgotLS3RcUiJXLp0CQ4ODjh16hTq1q0rOg6pARaUhbRhwwYsX74csbGx0NPTEx2HlFC/fv1QpUoVLF26VHQU0mCJiYlwdXVFfHw8PvvsM9FxSAktW7YMO3bsQFRUFJc9o2JjQVkIN2/eRMuWLREZGYmmTZuKjkNK6smTJ7C0tMSWLVvg7OwsOg5poMzMTLRo0QJTpkzBoEGDRMchJSWXy9GpUye4uLhg2rRpouOQimNBWUByuRxOTk7w9PTE5MmTRcchJXfo0CGMGjUKKSkpKF++vOg4pGGmTp2Kq1evYvfu3Zx0QR91+/ZttGjRAkePHoWlpaXoOKTCWFAWkJ+fH/bu3YvIyEjeGqACGTlyJLKysrBx40bRUUiDREdH44svvkBKSgrMzMxExyEVsGnTJvzyyy84ffo0d1CiImNBWQAXLlxA+/btERsbizp16oiOQyri5cuXsLKygp+fH7p16yY6DmkAfs1RUUiShO7du6NJkyaYP3++6DikolhQfkJ2djbs7e0xcuRIjBgxQnQcUjG8WkSladSoUcjMzORVcSq0Bw8ewMrKCnv27EGbNm1ExyEVxILyE2bPno3Tp08jODiYY5GoSKZMmYJr165xPBuVKI7bpeLas2cPpk6diqSkJBgaGoqOQyqGBeVHxMXFwdPTE4mJiahevbroOKSiXr9+jZYtW3LGLZUYrixAijJ48GAYGxtjxYoVoqOQimFB+QGvXr2CjY0NZs2ahb59+4qOQyqOawJSSerfvz8qV67MtU+p2J49ewZLS0usX78eLi4uouOQCmFB+QHffPMNUlNT8fvvv4uOQmrixx9/REREBA4fPsxdS0hhuDsTKdqRI0cwdOhQpKSkoGLFiqLjkIpgQfkeERERGDhwIFJSUlCpUiXRcUhNcF9lUjTuH08l5euvv8bTp0/h7+8vOgqpCBaU//L8+XNYWlpi5cqV8PDwEB2H1Mzly5fRtm1bnDhxAvXr1xcdh1SYJEnw9PSEra0t5s6dKzoOqZmMjAxYW1tj/vz56N27t+g4pAJYUP6Lj48PdHR0sHbtWtFRSE39+uuvCAgIQHR0NHR0dETHIRW1bt06rF69GidPnoSenp7oOKSGTp06he7duyMpKQlVq1YVHYeUHAvKfwgKCsLEiRORnJwMY2Nj0XFITcnlcri4uMDZ2RnTp08XHYdU0I0bN9CqVStERkaiSZMmouOQGpsxYwbOnj2LwMBALntGH8WC8n/S0tJgZWWFHTt2oF27dqLjkJq7c+cObG1tcfjwYVhbW4uOQyokNzcXTk5O6NatG3x9fUXHITWXlZUFOzs7jB8/Hj4+PqLjkBJjQYk3Y5F69+6N2rVrY8mSJaLjkIbYsmULlixZgjNnznD/XCqwn3/+GYGBgYiIiIC2trboOKQBzp49C2dnZ8TFxaFmzZqi45CSYkEJwN/fHwsXLsSZM2dQpkwZ0XFIQ0iShF69eqFevXpYtGiR6DikAs6fPw9HR0fExsaidu3aouOQBlm8eDEOHjyI8PBwLntG76XxBeXdu3dhY2OD0NBQNG/eXHQc0jBpaWmwtLTEzp074eDgIDoOKbGsrCzY29tj9OjRGD58uOg4pGFyc3PRoUMH9O7dGxMnThQdh5SQRheUkiTB1dUV7du3x3fffSc6DmmowMBAfPvtt0hOToaRkZHoOKSkZs6cifj4eBw4cICTI0iI69evo1WrVoiKikKjRo1ExyElo9EF5cqVK7F582bExMRw+RYSytvbG2XLlsWqVatERyEldPr0aXh5eSEpKQnVqlUTHYc02Jo1a7B+/XqcOHECurq6ouOQEtHYgvLq1ato3bo1YmJi0KBBA9FxSMP9/fffsLS0xJo1a+Dm5iY6DimRV69eoXnz5pg7dy769OkjOg5pOEmS4OHhAXt7e8yaNUt0HFIiGllQ5uTkoH379ujbty/Gjx8vOg4RACA8PByDBw9GSkoKTExMRMchJTFx4kQ8fPgQ27ZtEx2FCABw79492NjYIDg4GC1atBAdh5SERhaUCxYswJEjRxAWFsbZaqRUJkyYgLS0NBYPBIB/ZJDy2r59O+bNm4f4+HiULVtWdBxSAhpXUCYnJ6NTp06Ij49HjRo1RMchyicjIwPNmzfHvHnzeHtTw3EYBCkzSZLQt29fmJubw8/PT3QcUgIaVVBmZmaiZcuW8PX1xZAhQ0THIXovTsAgABg6dCj09fWxevVq0VGI3uvx48ewtLREQEAAHB0dRcchwTSqoJw2bRouX76MPXv2cNkNUmpcIkazcSkpUhXBwcEYN24ckpOTUa5cOdFxSCCNKShjYmLQu3dvJCcno3LlyqLjEH3U20Wsx4wZg2HDhomOQ6Xo4cOHsLKy4mL3pDKGDx8OSZKwfv160VFIII0oKF++fAlra2ssWbIEPXr0EB2HqEDebrN3+vRp1KpVS3QcKgXcjpNU0YsXL2BlZYVly5bBy8tLdBwSRCMKyjFjxiA9PR2bN28WHYWoUH766ScEBQUhIiIC2traouNQCdu6dSsWL16MM2fOQF9fX3QcogI7fvw4+vbti5SUFJiamoqOQwKofUEZGhqKESNGIDk5GRUqVBAdh6hQcnNz4eTkhG7dusHX11d0HCpBd+7cgY2NDcLCwmBtbS06DlGhTZo0Cbdv38Yff/zBsd8aSK0LyqdPn8LS0hKbNm1Cx44dRcchKpIbN26gVatWiIyMRJMmTUTHoRIgl8vh4uICJycnzJgxQ3QcoiJ5/fo1bG1tMWPGDPTv3190HCplal1QDhgwAJUqVcJ///tf0VGIimXdunVYvXo1Tp06xf1z1dDy5cvh7++P6Oho6OjoiI5DVGTx8fFwd3dHYmIizM3NRcehUqS2BeXOnTvx3XffITExEQYGBqLjEBWLJEno0qULWrZsiTlz5oiOQwp05coVtG3bFjExMahfv77oOETFNm/ePERHRyMkJIS3vjWIWhaUqampsLa2RlBQEFq1aiU6DpFCvP263r9/P+zs7ETHIQXIycmBg4MDBg4ciHHjxomOQ6QQOTk5aNOmDYYOHYrRo0eLjkOlRO0KSkmS4OXlBWtra/zwww+i4xAp1I4dOzBr1iwkJiZy/1w18OOPPyIyMhKhoaHQ0tISHYdIYS5dugQHBwecOnUKdevWFR2HSoHaFZQbNmzA8uXLERsbCz09PdFxiBSuX79+qFKlCpYuXSo6ChVDYmIiXF1dER8fj88++0x0HCKFW7ZsGXbs2IGoqCgue6YB1KqgvHnzJuzs7BAREYGmTZuKjkNUIp48eQJLS0ts2bIFzs7OouNQEWRmZqJFixaYMmUKBg0aJDoOUYmQy+Xo1KkTXFxcMG3aNNFxqISpTUEpl8vh5OQET09PTJ48WXQcohJ16NAhjBo1CikpKShfvrzoOFRIU6dOxdWrV7F7925OWiC1dvv2bbRo0QJHjx6FpaWl6DhUgtSmoPTz88PevXsRGRnJS+ukEUaNGoXMzExs3LhRdBQqhOjoaHzxxRdISUmBmZmZ6DhEJW7Tpk345ZdfcPr0ae4ApcbUoqC8cOECOnTogNjYWNSuXVt0HKJS8fLlS1hZWcHPzw/dunUTHYcKgP/PSBNJkoTu3bujSZMmmD9/vug4VEJUvqDMzs6Gvb09Ro4ciREjRoiOQ1SqeLVLtfCqMmmqBw8ewMrKCnv27EGbNm1Ex6ESoPIF5ezZs3H69GkEBwdzLBJppClTpuDatWscj6fkOO6VNN2ePXswdepUJCUlwdDQUHQcUjCVLijj4uLg6emJxMREVK9eXXQcIiFev36Nli1bcsawEuPMfKI3Bg8eDGNjY6xYsUJ0FFIwlS0oX716BRsbG8yaNQt9+/YVHYdIKK5pqNz69++PypUrc+1Q0njPnj2DpaUl1q9fDxcXF9FxSIFUtqD85ptvkJqait9//110FCKlwF1XlNMff/yBmTNncncjov85cuQIhg4dipSUFFSsWFF0HFIQlSwoIyIiMHDgQKSkpKBSpUqi4xAphbf7Qg8aNAhjx44VHYfA/deJPuTrr7/Gs2fPsHXrVtFRSEFUrqB8/vw5LC0tsXLlSnh4eIiOQ6RULl++jLZt2+LEiROoX7++6DgaTZIkeHp6wtbWFnPnzhUdh0ipZGRkwNraGvPnz0fv3r1FxyEFULmC0sfHB7q6ulizZo3oKERKafny5fD390d0dDR0dHREx9FY69atw+rVq3Hy5Eno6emJjkOkdE6dOoXu3bsjKSkJVatWFR2HikmlCsqgoCBMnDgRycnJMDY2Fh2HSCnJ5XK4uLjA2dkZ06dPFx1HI924cQOtWrVCZGQkmjRpIjoOkdKaMWMGzp49i8DAQC57puJUpqBMS0uDlZUVduzYgXbt2omOQ6TU7ty5A1tbWxw+fBjW1tai42iU3NxcODk5oVu3bvD19RUdh0ipZWVlwc7ODuPHj4ePj4/oOFQMKlFQSpKE3r17o3bt2liyZInoOEQqYcuWLViyZAnOnDnD/XNL0c8//4zAwEBERERAW1tbdBwipXf27Fk4OzsjLi4ONWvWFB2HikglCkp/f38sXLgQZ86cQZkyZUTHIVIJkiShV69eqFevHhYtWiQ6jkY4f/48HB0dERsbi9q1a4uOQ6QyFi9ejIMHDyI8PJzLnqkopS8o7969CxsbG4SGhqJ58+ai4xCplLS0NFhaWmLnzp1wcHAQHUetZWVlwd7eHqNHj8bw4cNFxyFSKbm5uejQoQN69+6NiRMnio5DRaDUBaUkSXB1dUX79u3x3XffiY5DpJICAwPx7bffIjk5GUZGRqLjqK2ZM2ciPj4eBw4c4OQCoiK4fv06WrVqhaioKDRq1Eh0HCokpS4oV65cic2bNyMmJobLnxAVg7e3N8qWLYtVq1aJjqKWTp8+DS8vLyQlJaFatWqi4xCprNWrV2PDhg04ceIEdHV1RcehQhBaUKakpOD27duQJAna2tpo1qwZatSoAQC4evUqWrdujZiYGDRo0EBURCK18Pfff8PS0hJr1qyBm5sbAODJkyeIjY1FdnY2AMDU1BT29vYcv/Qet2/fxtmzZyGXyyGTyVCzZk00a9YMAPDq1Ss0b94cc+fORZ8+fQQnJVJtkiTB3d0drVu3xqxZswAAmZmZiI6ORkZGBgCgbNmyaNu2LbcyVTKlXlC+evUKR48exevXr2FtbY06depAJpMhNzcX8fHxuHPnDipUqIDvvvsO/fr1w/jx40szHpHaCg8Px+DBg+Hv749Hjx7BxMQE7dq1g66uLiRJwsOHDxETEwMAcHR0hImJieDEYsnlchw7dgxPnjxBjRo1YGtrCy0tLUiShGvXriE5ORlly5bFoUOH8OTJE2zbtk10ZCK1cO/ePdjY2GD9+vV4/fo19PX14eTklLf+dHp6OiIiIpCZmYnmzZtzApySKNWC8tKlSzh79iy8vLw+Olv7wYMHmDt3LubNm6fxv9SIFCU7OxsTJ07E119/jYYNG37wuNzcXISFhaFcuXJo06ZNKSZUHk+ePEFQUBC8vLxQqVKlDx736tUrLFy4EJ6enmjZsmUpJiRSb/PmzUPLli3h6ur60THJcXFxuHv3Lrp3786xy4KVWkF58eJFpKamwtnZuUDHS5IEf39/dOvWDeXKlSvhdETqLTc3F1u2bEG/fv0KvPRWSkoK/v77b43bSODZs2cIDg5G//79C/wLKiwsDDVq1ODwHCIF2Lt3L+zs7GBubl6g4x88eIDjx4/jiy++KOFk9DEfHSzl7e0NmUwGmUwGXV1dVK5cGU5OTlixYkXeuKuCePHiBS5cuFDgYhIAZDIZBgwYgH379hW4DZG6+ef34D8f9vb2hepn79696NOnT6HWcbW0tISOjg6uXLlS2NjCfOj9SkpKKnAfQUFBhSomAaBz585ISUlBenp6EVITqYcHDx7gm2++Qb169VCmTBlUrlwZbdq0wa+//oqXL18WqI+oqChYWVkVuJgEgCpVqqBVq1aIiIgoanRSgE+Ovu/UqRNSU1Nx69YtHD58GF5eXpg1axbatWtX4B+e4eHh6Nq1a+HDaWmhRYsWOH/+fKHbEqmLt9+D/3wcPHiwwO1fvHgBY2NjGBoaFvrcrVu3xtmzZwvdTqT3vV9NmzYtUNvk5GTY29sX6dZZ165dER4eXuh2ROrg1q1bsLGxQUhICObNm4eEhATExsZi+vTpOHr0KIKCggrUz4MHD4o0JrJGjRp49OgRlHjhGrX3ybV49PX1UbVqVQCAubk5rK2t4eLiAhsbGyxevBhz5sz5aHtJkpCTk1Pk6f+NGzfGrl270KRJkyK1J1J1//weLIrw8HB4eHgUub2RkVFeUaoKivN+Xb16Fb179y7yeTMzMyFJEsdykcYZPXo0tLS0cObMmXx/vNaqVQuenp4FKvSSk5NhaWlZ5Ax2dnY4c+YMxzMLUqT1QZo2bQo3Nzfs3r37k8fGxcWhVatWRTlNHkNDQ7x69apYfRBpqtzc3GKt5+bs7IzIyEjFBVJS6enpxS6aW7ZsiYSEBAUlIlINjx8/RmhoKMaOHfvBOyEF+SPr+vXrqF+/fpFzfP7557hz506R21PxFHnBucaNG+PGjRufPO7BgwewsLAo6mkAABYWFrh//36x+iBSVSEhITAyMsr3mDp1aoHbF3dxYF1dXZW64vbv98vd3b1A7e7du4fPP/+8WOf+/PPP8ddffxWrDyJVc+3aNUiS9M6kNAsLi7zvw1GjRn2yH0UsZM7F0MUp8vYzBb2to4jxDEZGRgUe0Eukbtq3b4+1a9fme65ChQoFaquo8USqNC7p3+9XQRc/fvnyJczMzIp9flV6r4hKUlRUFHJzczFixAi8fv36k8cr4nuH33/iFLmgvHDhQoEGziriysbz588L/AuUSN0YGBigbt26RWqrSlcWFaWo71e5cuXw4sWLYp9fE99z0mx169aFTCbDpUuX8j1fq1YtAG++JwtCEd87/P4Tp0i3vM+dO4eQkJACDV6vWbNmsZcd+fPPP7k/LlERFWaJr/fJyMiAjk6R//ZUGRYWFrh582ax+rhw4QLq1KmjoEREqqFSpUpwcXHB8uXLi3U3MSsrq9hZivvzjorukwVlZmYm7t+/j7/++gvJycnw8/ODo6MjbG1tMWnSpE+eoFmzZsVadkSSJGRmZkJPT6/IfRCpsrffg/98pKWlFbh92bJl8/bALYrw8PBCrSGrqsqUKVOg23Ifc/HiRTRu3FhBiYhUx8qVKyGXy2Fra4vt27fjwoULuHLlCrZv347k5GRoa2t/sg8rK6tCrRn7bxcuXPjoLmBUsj5ZUB45cgTVqlVDjRo10LFjRwQFBWH27Nk4fvx4gde1MzAwKPIvtPj4eLRo0aJIbYnUwdvvwX8+mjdvXuD2zs7OxVofMSsrC/r6+kVur0qK8wvt5cuXMDIyUmwgIhVRu3ZtJCYmws3NDd9//z2aN28OGxsb+Pn5YcyYMVi6dOkn+6hbty6uX79e5Az8g06sUtl6MTMzE7t370b//v0L3W7Xrl0YMGBACSUj0gzBwcFo2bIlKleuXKh2hw8fRpMmTQq1a4Wq8/f3R58+fQp9V8Tf3x9ffvklZ5kSFUNCQgK0tLRgbW1dqHbnzp1DRkYG7OzsSiYYfVKRlw0qDH19fbRv3x579uwpcJusrCwEBARwb04iBfDw8EBYWBgeP35c4DZRUVEwMzPTqGISAL744gv4+/sXeCyWJEnYtWsXnJ2dWUwSFZONjQ0ePXqEixcvFrjNlStXcPfuXRaTgpXKFcq3UlNTERYWhk6dOqF69eofPO7s2bNITk4u0lUCIno/SZKwZ88eVKlSBW3btv3gbMi///4bISEhaNq0qcbuUJWZmYmdO3fC2tr6o9s23r17F+Hh4XB1dUWVKlVKMSGRejt+/DieP38OFxeXD9YB2dnZCAsLQ9myZeHk5FTKCenfSrWgBN78Ujt58iT++usvmJmZoVatWjA0NMTff/+Ny5cvIyMjA02bNn1ngVQiUozU1FScOHEC2traaNKkCSpWrIjMzEzcvXsXd+/eRbly5eDk5KQRM7s/5dKlSzh//jwMDAzQsGFDlCtXDunp6bh58yYePXoEc3NztGrVikuVEJWA9PR0HD16FFlZWahfvz4qV64MmUyGtLQ0XL58Gbq6unByclKZbWHVXakXlP/0+PFj3LlzB+np6Shfvjxq165d4PWqiKh4cnJycPXqVTx9+hT6+vqoVq3aR+8caLK3ReTff/8NQ0ND1KhRAyYmJqJjEWkESZLy/oiTJAmVKlVCnTp1+IeckhFaUBIRERGR6iuVSTlEREREpL5YUBIRERFRsbCgJCIiIqJiYUFJRERERMXCgpKIiIiIioUFJREREREVCwtKIiIiIioWFpREREREVCwsKImIiIioWFhQEhEREVGxsKAkIiIiomJhQUlERERExcKCkoiIiIiK5f8AhNP91qlXY1AAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "show_tree(simple_tree_data)" ] @@ -214,8 +247,10 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 17, + "metadata": { + "tags": [] + }, "outputs": [], "source": [ "def breadth_first_search_graph_vis(problem):\n", @@ -292,9 +327,40 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 18, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "b8f9c48796aa4134a68d40200fc4c3de", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "1f6374b2b29b4118b39dff32643301a8", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "all_node_colors = []\n", "BFS_problem = GraphProblem('A', 'F', simple_tree)\n", @@ -319,7 +385,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -338,7 +404,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -358,9 +424,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "show_tree(simple_tree1_data)" ] @@ -381,7 +458,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -461,9 +538,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "37dc92b23a1347d69710a9ce7cb32058", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "b97c4b175ea643959af5aec4e7722411", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "all_node_colors = []\n", "UCS_problem = GraphProblem('A', 'G', simple_tree1)\n", @@ -483,7 +589,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -505,7 +611,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -525,9 +631,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "show_tree(simple_tree2_data)" ] @@ -569,7 +686,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, "outputs": [], "source": [ @@ -634,9 +751,47 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "1aa97b278b4b4fe7a96ebf808df87191", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "5b147f490cb64f6e986e8f3e4edccc1b", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "all_node_colors = []\n", "DFS_problem = GraphProblem('A', 'K', simple_tree2)\n", @@ -665,7 +820,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -685,7 +840,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -705,9 +860,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "show_tree(simple_tree3_data)" ] @@ -742,7 +908,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -784,7 +950,7 @@ " node_colors[node.state] = \"gray\"\n", " iterations += 1\n", " all_node_colors.append(dict(node_colors))\n", - " return 'cutoff'\n", + " return (iterations, all_node_colors, 'cutoff')\n", " \n", " else:\n", " cutoff_occurred = False\n", @@ -799,17 +965,16 @@ " node_colors[child.state] = \"orange\"\n", " all_node_colors.append(dict(node_colors))\n", " result = recursive_dls(child, problem, limit - 1, iterations, all_node_colors, node_colors)\n", - " if result == 'cutoff':\n", + " if result[2] == 'cutoff':\n", " cutoff_occurred = True\n", - " elif result is not None:\n", + " elif result[2] is not None:\n", " return result\n", " if cutoff_occurred:\n", " node_colors[node.state] = \"gray\"\n", " iterations += 1\n", " all_node_colors.append(dict(node_colors))\n", " \n", - " \n", - " return 'cutoff' if cutoff_occurred else None\n", + " return (iterations, all_node_colors, 'cutoff') if cutoff_occurred else (iterations, all_node_colors, None)\n", " \n", "\n", " # Body of depth_limited_search:\n", @@ -818,7 +983,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ @@ -829,7 +994,7 @@ " \"\"\"Search the deepest nodes in the search tree first.\"\"\"\n", "\n", " result = depth_limited_search_for_vis(problem, limit=limit)\n", - " if result == 'cutoff':\n", + " if result[2] == 'cutoff':\n", " print(\"Due to the limit=%d, the goal state cannot be reached\" % limit)\n", " all_node_colors = []\n", " node_colors = {k : 'white' for k in problem.graph.nodes()}\n", @@ -842,9 +1007,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "2b6a91846d0b4784a14c51c087be0394", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "9f6013c718f442d08ba393a6f646f7a3", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "all_node_colors = []\n", "DLS_problem = GraphProblem('A', 'F', simple_tree3)\n", @@ -866,29 +1060,67 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "def iterative_deepening_search_for_vis(problem):\n", + " all_node_colors = []\n", " for depth in range(sys.maxsize):\n", - " result = depth_limited_search_for_vis(problem, limit=depth)\n", - " if result == 'cutoff':\n", + " iterations, new_all_node_colors, res = depth_limited_search_for_vis(problem, limit=depth)\n", + " all_node_colors += new_all_node_colors;\n", + " \n", + " if res == 'cutoff':\n", " print(\"Due to limit=%d, the goal state cannot be reached\" % depth)\n", " continue\n", " else:\n", - " iterations, all_node_colors, node = depth_limited_search_for_vis(problem, limit=depth)\n", - " return(iterations, all_node_colors, node) \n", - " \n", - " if iterations:\n", - " return (iterations, all_node_colors, node)" + " return(iterations, all_node_colors, res)\n", + " return(iterations, all_node_colors, res)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "cd92357a2a2240259da00de374dcce05", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "b528d884f3dd43c6a18326f6061789d5", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "all_node_colors = []\n", "IDS_problem = GraphProblem('A', 'M', simple_tree2)\n", @@ -932,9 +1164,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.9" + "version": "3.7.12" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } From 73d4a2e70e21d718f44aa33aef9d5fb02605c8d9 Mon Sep 17 00:00:00 2001 From: Sebastian Mair Date: Mon, 6 Nov 2023 23:48:54 +0100 Subject: [PATCH 2/2] Cleared notebook. --- UninformedSearch.ipynb | 289 ++++++----------------------------------- 1 file changed, 37 insertions(+), 252 deletions(-) diff --git a/UninformedSearch.ipynb b/UninformedSearch.ipynb index 9ae0d5ca1..e960765fd 100644 --- a/UninformedSearch.ipynb +++ b/UninformedSearch.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": { "tags": [] }, @@ -61,7 +61,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": { "tags": [] }, @@ -87,7 +87,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": { "tags": [] }, @@ -117,19 +117,11 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": { "tags": [] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "{'A': (35, 40), 'B': (15, 20), 'C': (55, 20), 'D': (0, 0), 'E': (30, 0), 'F': (40, 0), 'G': (70, 0)}\n" - ] - } - ], + "outputs": [], "source": [ "simple_tree_locations = simple_tree.locations\n", "print(simple_tree_locations)" @@ -146,7 +138,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": { "tags": [] }, @@ -164,7 +156,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": { "tags": [] }, @@ -186,22 +178,11 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": { "tags": [] }, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "show_tree(simple_tree_data)" ] @@ -247,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "metadata": { "tags": [] }, @@ -327,40 +308,11 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "metadata": { "tags": [] }, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "b8f9c48796aa4134a68d40200fc4c3de", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "1f6374b2b29b4118b39dff32643301a8", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "all_node_colors = []\n", "BFS_problem = GraphProblem('A', 'F', simple_tree)\n", @@ -385,7 +337,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -404,7 +356,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -424,20 +376,9 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "show_tree(simple_tree1_data)" ] @@ -458,7 +399,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -538,38 +479,9 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "37dc92b23a1347d69710a9ce7cb32058", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "b97c4b175ea643959af5aec4e7722411", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "all_node_colors = []\n", "UCS_problem = GraphProblem('A', 'G', simple_tree1)\n", @@ -589,7 +501,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -611,7 +523,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -631,20 +543,9 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "show_tree(simple_tree2_data)" ] @@ -686,7 +587,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -751,47 +652,9 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "1aa97b278b4b4fe7a96ebf808df87191", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "5b147f490cb64f6e986e8f3e4edccc1b", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "all_node_colors = []\n", "DFS_problem = GraphProblem('A', 'K', simple_tree2)\n", @@ -820,7 +683,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -840,7 +703,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -860,20 +723,9 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "show_tree(simple_tree3_data)" ] @@ -908,7 +760,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -983,7 +835,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -1007,38 +859,9 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "2b6a91846d0b4784a14c51c087be0394", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "9f6013c718f442d08ba393a6f646f7a3", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "all_node_colors = []\n", "DLS_problem = GraphProblem('A', 'F', simple_tree3)\n", @@ -1060,7 +883,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -1080,47 +903,9 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "cd92357a2a2240259da00de374dcce05", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(IntSlider(value=0, description='iteration', max=1), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "b528d884f3dd43c6a18326f6061789d5", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(ToggleButton(value=False, description='Visualize'), Output()), _dom_classes=('widget-int…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "all_node_colors = []\n", "IDS_problem = GraphProblem('A', 'M', simple_tree2)\n",