From c7ae2c6c147d4d2445f7c82d7cb9c095c469d477 Mon Sep 17 00:00:00 2001 From: Jan Mrna Date: Mon, 3 Nov 2025 05:03:03 +0100 Subject: [PATCH] Python: remove diagonal traversing --- python/pathfinding_demo.ipynb | 31 ++++++++++++------------------- python/pathfinding_demo.py | 11 ++--------- 2 files changed, 14 insertions(+), 28 deletions(-) diff --git a/python/pathfinding_demo.ipynb b/python/pathfinding_demo.ipynb index 746e0f1..83a11e5 100644 --- a/python/pathfinding_demo.ipynb +++ b/python/pathfinding_demo.ipynb @@ -81,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 1, "id": "fbdf9d2c-d050-4744-b559-abc71e550725", "metadata": { "editable": true, @@ -108,7 +108,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 2, "id": "c704cf15-95fa-49c1-af1b-c99f7b5c8b95", "metadata": { "editable": true, @@ -161,7 +161,8 @@ " x_center, y_center = center_point\n", " for x in range(-1,2):\n", " for y in range(-1,2):\n", - " if x == 0 and y == 0:\n", + " diagonal = x == y # includes center 0,0\n", + " if diagonal:\n", " continue\n", " p = Point2D((x + x_center, y + y_center))\n", " if self.IsPointValid(p):\n", @@ -220,7 +221,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 3, "id": "043a1f1c-a7a7-4f24-b69c-c6c809830111", "metadata": { "editable": true, @@ -282,7 +283,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 4, "id": "859c64f4-e65c-4905-a775-c6f17542eac8", "metadata": {}, "outputs": [], @@ -429,10 +430,6 @@ "\n", " @staticmethod\n", " def heuristic(a: Point2D, b: Point2D) -> float:\n", - " # for now we use Manhattan distance, although\n", - " # it is probably not entirely correct, given that\n", - " # we can also move diagonally in the grid\n", - " # TODO a problem for future me\n", " x_a, y_a = a\n", " x_b, y_b = b\n", " return abs(x_a - x_b) + abs(y_a - y_b)\n", @@ -473,10 +470,6 @@ "\n", " @staticmethod\n", " def heuristic(a: Point2D, b: Point2D) -> float:\n", - " # for now we use Manhattan distance, although\n", - " # it is probably not entirely correct, given that\n", - " # we can also move diagonally in the grid\n", - " # TODO a problem for future me\n", " x_a, y_a = a\n", " x_b, y_b = b\n", " return abs(x_a - x_b) + abs(y_a - y_b)\n", @@ -512,7 +505,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 5, "id": "ece3a6c8-aa1d-49a8-9f4c-06ebff72f991", "metadata": { "editable": true, @@ -526,15 +519,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "Breadth First Search : took 1.953 ms, visited 561 nodes, cost 14015.00\n", - "Dijkstra's Algorithm : took 2.933 ms, visited 2963 nodes, cost 1029.00\n", - "Greedy Best First Search: took 0.273 ms, visited 120 nodes, cost 7022.00\n", - "A* : took 0.485 ms, visited 355 nodes, cost 1030.00\n" + "Breadth First Search : took 2.202 ms, visited 595 nodes, cost 31016.00\n", + "Dijkstra's Algorithm : took 2.658 ms, visited 2020 nodes, cost 2048.00\n", + "Greedy Best First Search: took 0.327 ms, visited 109 nodes, cost 31016.00\n", + "A* : took 1.477 ms, visited 1066 nodes, cost 2048.00\n" ] }, { "data": { - "image/png": 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M5tLttuwpCVjc1LF+MElxQew/lc+5XDM1g3VcWTfA5z0ra7/9lrj69QHrqp7ExEQ+/+wzunfvXux5999/PzVq1GDW7NlMmDCB0NBQWrduzdgnngDg1ltvJTk5mcefeAKj0Uj/m29m8uTJTJ061VZH7969OXHiBK+//jp5eXn06NGDoUOHsnXrVluZQYMGsXPnTkaPHs3FixftljWXN4vFwsyZM8nMzCQ0NJROnTrx5JNPAlCvXj0efPBB5s+fz3/+8x9uvvlmp8uar7vuOlatWsWyZcvIysqiZs2atG7dmjfeeMM2n2bQoEEEBwfz3//+l9dff52QkBCaNGnCHXfcAUC3bt248847mTlzJvn5+XTp0oV7772Xd955p8TnMGPGDObOncukSZPIzc21LWsWQoiSjGkUZh0GcklBy9Wz7dqGXMB5b7MaGEyt08XVALXPw5geTXl3/SGP2ltailZFBsANBgORkZGcPX3abuIoWJeCphw7RuNGjVwuZy1QONdGRfFGzgtPeXodvPEc/OG1EFalfT1zc3M5kpJCo/h42+9cdc1X4UjysHiP5GGx90LLmgw1x5TLY32SqPLiysvDQp5cR4PBQK2oKLKysop8fhcmPSxCCCFEFXA0xwRuxE8nIgwcd5Fdu3atcJqdLLmS9Aum0jbPYxKwCCGEEFXAopRsnmplRstTcT4DRUMJNtNvx0nXc1gCzrKhTVNqnXe+d48FOBcOizb86b2Gu0n2EhJCCCGqgBHxoWgmhYIJtvastxfnnnKdj0VVSZjUgw9uUlGwBieFWS7VvCq2/CfcggQsQgghRKV3V0Iok8Lrg0XFUiMPJch+Uq0SbOZj0l0vaVZVrniuFzUapbGtuZ53OtUgy2HR57lw+LC5ysxyzr9ia2JpT9i8eTMDBgwgLi4ORVGKLIVVFMXpzyuvvOKyzkWLFjk9Jzc31+U5QgghhLgcrGgmFWNELl33HaH13j95Ne84y3TpvJp3nNa//elWsKJpKpnLg5iz6Fe67T7Eq/EWPklUeTXeQvddhyosWIEyzGG5cOECbdq04Z577imSth0gLS3N7vaaNWu47777nJYtLCIigoMHD9odK2lFjxBCCFGdOQYrPXcf5Wy+dczn3SPZJVfgJFg5tXo7ACazpdyXLhen1AFLv379XGb4BGum0cJWrlxJjx49uOKKK4qtV1GUIucKIYQQwrnighW3FBOs+COfrhLKyMjg66+/5sMPPyyxbHZ2Ng0bNsRsNtO2bVteeOEF2rVr57K80Wi07RoM1nXc3uBp/hBv5A7xh/wj/nAdPOUP+WzAP66Fp8ryHE6fPs3NN99s2/KhKuW78IQ/5A7xBnk9KlbhYKVGwxCafbKR0xG13T4/z2RiwNJk0i0/V4pgBXw86fbDDz8kPDycIUOGFFsuMTGRRYsWsWrVKpYsWUJwcDBdunTh8OHDLs+ZPn06kZGRtp/4+HhvN79SSUpKskv/Xvj2yZMnSUpKKjLkVlUVPN/du3f7/LFSUlJQdboSH+uhhx5i9uzZPm+PEKLqc+xZqf/JGlQPgpW7Gk30+2AFfBywvP/++4wcObLEuSgdO3bkrrvuok2bNnTt2pXPP/+c5s2b8/rrr7s8Z+LEiWRlZdl+jh075u3mF2UxQ8qPsG+p9f8W3276N2XKFJKSkkhKSqJjx4706dOHRx99lFWrVhXZ9XjNmjV2+8043vZE4yuuYM7cuV6pC2DgwIHs3LnTozoyMjLo1KkTt912m5daVTbx8fGcPHHCtnPzxo0bUXU6zp07V6HtEkJUTc6GgTwNVp7uUvwcU3/hsyGhLVu2cPDgQT777LNSn6uqKklJScX2sAQFBREUFORJE0tn/2r49hkUw0nbIS0iDvq8DFcO8NnDdurUieeeew6LxcKZM2fYunUrs2fP5vvvv2f27Nm2XYijoqLsznO87Wtms9m2k3R5+Oqrr7jxxhvZtWsXe/bsoU2bNuXyuIXl5eURGBgoc6+EEOXC0zkrlTlYAR/2sLz33nu0b9++TB8kmqaxe/fuCttEr4j9q+GL0VAoWAHAkGY9vn+1zx46MDCQqKgo6tWrR2JiIvfccw+zZs3i559/5quvvrKVK25IyJHFYuHFF19k6NChtlVdCxcu5JZbbqFz587069ePJ8aOBaBHz54cPXqUcePGoep0qDodYF2KXqt2bb766iuuatWK4JAQjh49yvbt2+nduzc33ngj3bt358EHH+TAgQMun19+fj4zZ86kb9++dOnShYEDB/LBBx8Ue000TWP16tXcfPPN9OnTh5UrV5Z4HVetWkXzFi2oERpKz169+PDDD4v0hCxbtoxWrVsTHBJC4yuuYParr9rV0fiKK3jxpZe45557qFmrFg8++KDdkFBKSgo9e/UCoHadOqg6Hffcc49du+fNm0evXr3o06cPCxcutKs/KSmJ5cuX8+STT3L99ddz++2389tvv3Hs2DEeeughunbtyr333svx48dLfL5CiMpNr8D9jcN4oWVN7m8cxuiGpQtW8kwmPtz9Ay9uXsKHu38g25hbqYMVKEMPS3Z2Nn/+eTkl75EjR9i9eze1a9cmISEBsE6A/eKLL1yO2Y8aNYr69eszffp0AKZOnUrHjh1p1qwZBoOBefPmsXv3bhYsWFCW51QyTYP8i+6VtZhh7QRAc7JZt2Y9uvYZaNwNVB2qKaf46nTB4OEOz0lJSTRr1owNGzYwaNCgUp2bn5/P5MmTOX78OO+88w61a9fm+++/55NPPuGll16iSZMm/PPPPxgv5cBZtnQpbdu144EHHuCB+++3q+vixYu8PGMG7yxcSJ06dahXrx5Hjhxh1KhRPPjQQwB8/PHHjB07luXLlxMaGlqkPZ9++imbN29m+vTpxMTEkJGRQUZGRrHPYceOHeTm5nLddddRr1497rnnHp566imn9YN1nsntw4bxxBNPcP9997Fr1y7+7+mn7crs3LmT4SNG8PzzzzN82DB+/vlnHn3sMerUrs2YMWNs5WbNmsXkyZOZNGlSkceJj49n6RdfcNvtt3Ng/34iIiIICQnhz7/+Aqy9QiNHjuSDDz5g7969TJ06lTZt2tChQwdbHe+99x7JyckkJyczf/58nn32WeLi4hgzZgwxMTG88MILzJw5k3nz5hV7jYQQldekFpHcFVzXuvOymUv7A2loJsWtYGXWT8tZ/NfraPrLeVdm7wtAUfMrbbACZQhYduzYQY8ePWy3x40bB8Do0aNZtGgRYP0Q0jSNO+64w2kdqampdkMH586d48EHHyQ9PZ3IyEjatWvH5s2bue6660rbPPfkX0R5uYFXqlLQ4PxJmNkQgJLWpfza9yss+hCPH7dRo0Z2gaM7cnJySE5Oxmg08vbbbxMWZk1jmJ6eTp06dejQoQN6vZ6YmBjbCpvatWuj0+kIDw8vMvSRn5/Pgvnz7XrRevbsCVxeVTJx4kTWr1/Pr7/+SteuXQFrb0eBjIwM4uPjadu2LYqiuNWrtnLlSnr37o1Op6NJkyY0aNCAdevWuQze3nr7bVq0aMErM2cC0KJFC/b9/jvTpk2zlXnttdfo1bMnz06eDEDz5s35Y/9+Zs2ebRew9OzRg/FPPWW7nZKSYvu3Tqejdm3rWHK9evWoWbOmXTuaNWvGAw88AEBCQgKff/45//vf/+wClltuuYWbbroJsAb29957L/fddx+dOnUCYMSIEfznP/8p8RoJISqnSS0iGUkMWpG8qdZ0+19lnysxWPko5UXQ2e8mZA1W4MqQmytlsAJlGBLq3r07mqYV+SkIVgAefPBBLl68SGRkpNM6Nm7caFf+tdde4+jRoxiNRjIzM/n2229tf6CFc5pWirX2l0yaNImcnBzmz59vC1YAevXqhdFo5NZbb+XFF19kw4YNmEwl78QZGBjI1VdfbXcsMzOTh//1L4YOHUr37t3p0aMHFy9eJD093Wkdt9xyC4cPH+a2225j1qxZ/PLLL8U+5vnz59m4caNdLqB+/frZBUGODh08yLXXXmt37LqkJLvb+w8coHOXLnbHunTuzOHDhzGbL0+ubu9QT2k0bdrU7nZUVBRnz561O9asWTPbvwuCnyZNmtgdMxqNZGe7kRBKCFGp6BW4K7jupVvOe+JvC4xC76KTPs9kYvFf1sUqrjryD2b/SJ4bf9/9UfXcrTmgBtozbs4DOPozypJhJRbT7vgcGnZmVwnLWy0672TvTUlJoX79+qU6p0uXLqxZs4a9e/eSVOgDOyYmhqVLl7Jt2za2b9/OjBkzWLFiBRs3bCAgIMBlfSEhISgOvxX33HMPp06fZty4ccTExBAYGMi9995LvoutzBMTE/nyyy/5+eef+d///sfEiRO57rrrmDFjhtPya9euxWg0FpkbYrFY+Pvvv50mKNQ0rUg7HQM+d8oALoed3FEwQbqAoihFVnsVLlPQHmfHyhKwCiH825hGYdZhIJcUtFw9YxqFOc1iu2TfZjR9lotQxxrEaPpzLNm3mdFte3qlzeWpegYsigKBbn7wNOlpXQ1kSLMO/zjQUCAiDpr0BFXnleGekmzfvp0///zT5ZCbK0OHDqVJkyY89dRTvPbaa7Rv3952X3BwMN26daNbt27cdttt3H777ezdu5drrrmGwMBAu16G4mz58UcWzJ9Py6uuAqzDTSUt8Q0LC6N379707t2bXr168cQTT5CVleW0h27VqlWMHDmSW265xe747NmzWbVqFcnJyUXOaZGYyJo1a+yO7XBYVt3yyiv56ccf7Y79vHUrzZs3R3dporE7Ai8loXL3egkhRIGGIZfmrLhTzoljhuLn/5W2nL+R3ZpLouqsS5cpOu3WdrvPdGs5H8jLy+P06dNkZmZy4MABPvjgA8aPH8/1119P//79S13f8OHDefjhhxk3bpwt2dnq1atZuXIlf/75J8ePH2fNmjWEhITQsKF1Xk6jhg3ZsnkzJ06c4PTp08XW37RpUxYvXsyRI0fYt28fzz33XLHLzz/55BO+++47UlJSOHr0KN9//z116tQhPDy8SNmDBw9y4MABBg0aRNOmTe1+evfuzTfffON0KOuhSyuVJjzzDIcOHeLzzz+3ZV8u6LEYN24c3//wAy+8+CKHDh3iww8/ZMGCBTx1aY6Wuxo2bIiiKHz11VecOnVKhm6EEG47muPeUI2rcvER0W6d7245fyMBizuuHAC3fwgRDhNCI+Ksx32Yh2Xr1q3069ePgQMH8sQTT7Bjxw6eeuopZs+eXapv/oXdeeedPPjggyQnJ7Nnzx7Cw8P58ssvuf/++7nzzjvZvn07q1aupE6dOoB1FVfK0aM0bdaMetHFv9Hfe/ddzp47x1133WVdcTN8uG0uhjMhISF8+OGHjBo1itGjR3Py5Enmzp3rNJ/LqlWraNy4MY0aNSpyX/fu3TEYDGzevLnIfY0bN+aLzz9nxYoVtGnblrfefpt/T5wIYAumrrnmGj779FM+++wzWl99Nc9PmcLUqVPtJty6o379+kyZMoWJ//43MbGxPP7446U6XwhRfeVbNHDSk3+ZhhJsYlGK8y9CQ6/sjGZxPYyvaaCYanJHqxs8a2gFUbQqMhhuMBiIjIzk7OnTRERE2N2Xm5tLyrFjNG7UyLMdoC1mSN0K2ekQFgMJnYr0rPjDvjF5eXl06dKF+fPn261AKY2qvpfQS9Om8fbbb5N6aZ8bX/KHa1ERTp8+zcMPPyx7CfmA7CVU9RROCnc5aCncq2899jHpvHQwy+5cc16eQ1K4S2cXOr3g2KhGkxnfpeh2OZ6+np68Jw0GA7WiosjKyiry+V1Y9ZzDUlaqDhpdX9GtKFZ2djYbNmxAVVWnPRHV1RtvvknStddSp04dfvrpJ2bNmsWjjz5a0c0SQogiGWy/yj7HbYFRdhNwlWAzi3NPFQlWoGgG2ytDbuZg9ha7PCyquSZ3NXnMabBSWUjAUsUsXLiQb7/9lscee4zoEoZvqpPDhw/z0ksvcebMGRISEhg3bhwTn3mmopslhKjmXKXbn6qcY0yjMBqG6DmaY2LRoWxMzsZDVNVpBts8k4kl+zZzzJBBfEQ0d7S6gUB95f7Ir9ytF0WMGzfOlsxPXPbaq6/ymkOqfSGEqEjF7Q1k0nC6dNmOqnLFc72cptsP1Osr5dLl4sikWyGEEKKcebqRYUGwUqNRWqVOt18a0sPioCpMkPR0wixUjevgL8+hKkxg9gaZpGnljQmzci0rNwlWykZ6WIQQQohy4u1gJXN5ULUIVkACFiGEEKJc+CJYObV6u+8a7GdkSEgIIYTwIr2C/QqflGxGxJcyWFFVanZpSUDdUPJPXeDc1gNcMblHtQ1WQAIWIYQQwmsmtYjkruC61hwqZiAQnmplRjMpbgcrUQOupd4tetSgbOACAPXHtEbRVd9gBWRISJTBwoULufPOOyu6GeVi4MCBfPLJJxXdjAq1c+dOkpKSOH/+fEU3RQi/NqlFJCOJQcu1z4Cu5algUbHUyHMrWIkekosSaL+kWdHlo2mQva9utQxWQHpYSsWiWTh08RDnTOeoqa9J8xrNURXfxnynT59m0aJF/PTTT2RmZhIWFkZ8fDz9+vWjf//+nm01UIEGDhxIWloaAKqqUrt2bTp37szYsWOLTc1cGg899BDNmzfnqaeeKrHcr05W4mzdupUPP/yQkJCy78B98uRJkpKS+HXnTtq2bVts2WXLlvHKrFkcOHAAi8VCQkICffr0qTbBoRCVmV7hUs8K4LBRrvW2hs6sct5p9rdLVJV6t1g/lhXHKi4JbX4RVBUsFi+0unKRgMVNOww7+CTtE86aztqO1dLX4s7YO7k24lqfPObx48e5//77CQ8P55FHHqFp06aYzWZSU1NZtWoVUVFRdOvWzem5+fn5BAS43gTLHzz00EMMGjQIi8VCamoq06ZNY9asWfznP/8p97YMGjSIhx56yO6YXq+nVq1axZ5nMpnQeyF75Pr167njzjt56aWXGDhgAIqi8Mcff/D9Dz94XHdxzGYziqI43WxSCOG+MY3C7FLpF6WgGfWMaRTmMiFczS4tLw0DuahBASXoPDW7tOTcln0etrjykb9Sbthh2MGCYwvsghWAs6azLDi2gB2GHT553BkzZqDT6fjoo4+46aabaNy4MU2bNqVnz57MmTOHG264vONmUlISy5Yt46mnniIsPJwXX3oJgNWrV3NtUhIhNWrQpGlTpv7nP5hMl7cmz8rK4sGHHiI6JobImjXpdeON7Nmzx64dixYtok+fPnTr1o0XXngBo9Fou+/XX3+lY8eOnD592u6c1157jQcffLDY51ejRg2ioqKoV68e1157LTfffDMHDhywK7Nnzx4efPBBrr/+evr378+sWbPIycmx3f/FF18wZMgQunTpQp8+fZgwYQIAU6ZM4ddff+XTTz8lKSmJpKQkTp486bItwcHBREVF2f1A0SGhwte5a9euvPfeexgMBiZPnsxNN93E9ddfz5AhQ1i1ahUAt956KwDXtG+PqtPRo6fzzJNfff01119/Pf83fjwtWrSgefPmDBo0iNfnzbMrt3nzZu6++266dOnCrbfeyjvvvGP3en788ceMGDGCrl270r9/f15++WUuXrxou3/16tX06NGDLVu2MGzYMLp06UJaWhp5eXnMmzeP/v3707lzZ4YMGcLKlSvtHnv//v2MGjWK66+/nnvvvZeUlBSX11OI6qZhiHtfXIorF1A31K063C1X1VTLHhZN08gx5Ti9z2gx2t22aBY+Tvu42Po+SfuEq0Kvcmt4KFAJRHHV11fIuXPn2LZtG4888ojLIQnHehYuXMijjz7K+++9h06n49tvv+XuUaOYO2cOXbt25a+//uKhhx8G4PnnnkPTNG4ZMIDatWrx9VdfERkZydsLF3LjTTfx2WefERkZybp161i4cCFPP/00bdu2Zc2aNXz22WfExcUBcM0111C/fn3WrFnD3XffDVh7HdauXVuqzQUzMzP58ccfadWqle3Yn3/+yRNPPMFDDz3E5MmTOXv2LK+88gozZ87k+eef548//mD27NlMnTqVq6++GoPBwK5duwAYP348qampNGnSxNZzUlJvibsKrvOTTz6JTqfjrbfe4siRI8ydO5eaNWty7NgxW1C3aNEixowZw7rvvuOqq64i0EXCr5iYGJYsWcK+ffvsrkFhW7du5bnnnmP8+PG0bduWEydOMG3aNAAeeOABwPqeGD9+PLGxsZw8eZIZM2Ywb948nim0b1Jubi6LFi1i0qRJREZGUrt2bZ5//nn27t3L+PHjadasGSdPnuTcuXN2j//mm28yduxYatWqxcsvv8wLL7zAe++95+nlFKJKOJpjAjfy+R3NMbm8L//UBbcey91yVU21DFhyTDl0/LST1+o7azrLIwcecavsW1e+RZASVGK548ePo2kaDRs2tDt+4403kncpU+btt9/O448/bruvT58+DBw4kCuuuAKAUaNHM2HCBEaPHg3AFVdcwX+mTmXCM8/w/HPPsWHDBvbu3UtGejpBQdY2zXrlFVauXMn333/PkCFDWLJkCQMHDmTQoEEA/Otf/+J///ufXS/LrbfeyurVq20By08//URubi433XRTsc9x/vz5vPXWW1gsFoxGI61ateLJJ5+03f/f//7Xbg5HQkIC48eP56GHHuKZZ54hPT2d4OBgrr/+ekJDQ4mNjaVFixYAhIWFERAQYOs5KcnSpUvtehQGDx5s15bCCq5zgfT0dFq0aEHLli0BbMEcXA6S6tSpQ0xMjMvHf/yxx/hxyxaubtOGhg0b0rFDB2666SZGjhxpK/PBBx8wevRobrnlFgAaNGjAQw89xOuvv24LWArPd6lfvz4PP/wwL7/8sl3AYjKZmDBhAs2bNwfg6NGjrF+/nvnz59OhQwdb3Y7+9a9/0b59ewBGjx5NcnIyRqPR9t4RojpblJJtXQ2Up1J0DguAhhJsZtEh10M+57YeuLQaKN/p/ZoGWl44537a5p1GVzLVMmCpTBx7URYtWoSmaTz77LO2wKXAlVdeaXd7586dbN++3fYtHKxzFnJzc7l48SI7f/2V7OxsourWtTsvJyeHEydOAJCSksLQofZZFFu3bs2OHZeHwW655RbefPNN9u7dS+vWrVm1ahU33nhjiZNV7777bm655RY0TSMjI4M33niD5ORkFi5ciE6nY//+/Rw/fpy1a9faztE0DYvFwsmTJ+nQoQOxsbEMGjSITp060alTJ3r06FGmich9+/bl3nvvtd0ODw93WdbxOg8dOpQJEyZw4MABOnbsSLdu3WjTpk2pHj80NJSvvvqKv/76iw0bNvDLtm2M/7//Y97rr7NgwQKCg4PZv38/f/zxBx988IHtvIJgLzc3l+DgYHbs2MEHH3zAkSNHuHDhAmazGaPRSE5Oju31CAgIoFmzZrY6Dh06hE6nswUjrhQ+pyAIPHv2bLGBmBDVxZ0JoWgmhYIJtvZBi3Wi7eLcU853XAZrUrjJPS4tXbYeKvznv+BY5lf51XLCLVTTgCVEH8IvI7Y6vW+3w/yNgxcO8lrqayXW+WTCk7QIbVFiuUDFvT1AGjRogKIoReYJFHzzdfat1jFAsFgsTJkyhSGDBxcpGxwcjMViITY2lg1OJnYeTU11q50AtWvXpmvXrqxevZr69evz008/8fbbb5d4XmRkJPHx8YC192TcuHHce++97Nixgw4dOqBpGkOGDGH48OFFzo2JiSEgIID//ve/7Ny5k23btvH222/zzjvv8OGHHxYbcDhTsPrKHY7XuUuXLqxevZoff/yR//3vfzz66KPcdtttJCcnl6oNAE2aNKFJkybcf//9TPr3v2mRmMh3333HwIED0TSNBx98kB49ehQ5LzAwkLS0NJKTkxkyZAgPP/wwERER7NmzhxdeeMFunktQUJBdIOxuD4mzycWWavqHU4jCRjUMZWKYNSmcpUYeOrOKZrz8+6IEm1mce4qXDmY5r8Ahg232vrqENr+AUmgCrpYXTuZX+Zxe7Zs5k5VBtQxYFEWhRkANp/cFqfZ/vFuFtaKWvlaRCbeF1dbXplVYK68uca5ZsyYdOnTgiy++YPjw4WVaWnvNNddw8OBBmjZt6vz+du1IT09Hr9fTqFEju/uyDAYAGjVqxN69e+nfv7/tvn37is5Ov/XWW5k0aRL16tWjQYMGpe5hAGwrVQqGm1q0aMFff/1VbCCh1+vp0KEDHTp04IEHHqBHjx5s376dnj17EhAQUG4fqLVq1WLAgAEMGDCA5cuXM2/ePJKTk20rtcxmc6nrbNSoETVq1CA3NxewXo+jR4+6vB779+/HZDKRnJxsu5br168v8XGaNm2KxWJh586dtiEhIYR7CgcrBUnhzps0+0y3h7KL71kpkm7/+6KZbn/aVm17VgpUy4ClNFRF5c7YO1lwbIHLMnfE3uGTfCwTJkzgvvvuY9SoUTzwwAM0a9bMttw1JSWFxMTEYs9/dvJkBgwcSHx8PLffdhuqqvLbb7+xd98+XnzhBW688UY6derE4CFDeHn6dFq0aMHJkyf5Zs0a25yMESNGMHXqVFq2bEmbNm1Yu3Ytf//9t908DYBOnToRFhbG+++/X2R5sCsXL160rS7KyMhg3rx51KxZk6uvvhqwzpO45557mDFjBoMGDSIkJIQjR47wv//9j//7v/9jy5YtnDhxgnbt2hEREcFPP/1kN+8nNjaWffv2cfLkSWrUqEFERIRPlu++9dZbXHnllVxxxRXk5eWxZcsWWwBYq1YtQkJCWPvttzRo0IDg4GAiIyOL1DFl6lQuXrzIzf360bBhQ86dO8frr79Ofn4+1113HQD3338/Tz75JNHR0fTq1QtVVTl8+DB//fUX//rXv6hfvz5ms5nPPvuMrl278ttvv7F8+fIS2x8XF0f//v154YUXbJNu09PTOXPmTInzkISozpwFKwVJ4VwtXbZT3N5AFku1XLpcHAlY3HBtxLU8Gv9okTwstfW1uSP2Dp/lYWnQoAEff/wxH3zwAQsWLCAzM5PAwEAaN27MXXfdxe23317s+X369GH1qlW88OKLvPLKKwQEBJCYmMh9l+ZqKIrC1199xaTJk7nv/vs5deoUMTEx3NC1K506WScl9+7dmxMnTvD666+Tl5dHjx49GDp0KFu32g+pqarKLbfcwqJFi+x6Y4rz9ttv24aOatWqRcuWLZk/fz41a9YErHMm3n77bd58800efPBBNE2jQYMGtg/R8PBwNmzYwDvvvIPRaCQhIYEXX3yRJk2aAHDXXXcxdepUhg0bhtFoZOXKlUUCLW8ICAhgwYIFnDx5kuDgYNq2bctLl5aV6/V65s6Zwwsvvsjzzz9P165dnQ7BdbvhBt544w1GjxlDRkYGtWrVol3btny7di0hNay9gZ06deK1117j3Xff5aOPPrL1jBUsnW7RogVPPvkkH330EQsWLKBdu3Y8+uijPP/88yU+h2eeeYY33niDGTNmkJWVRUxMDGPGjPHeRRKiiikuWHFLNd/IsCwUTdNKcYX9l8FgIDIykrOnTxfJlJqbm0vKsWM0btSoxAmZO51kPC1QEZluK5MXX3yRM2fO8Oqrr1Z0U4SXtb/mmlKVz83N5UhKCo3i422/czoXS7qFKCuzw8KDsijL+7JwsFKjYQj1P1mDGlHb7fPzTCYGLE0m3fKzV4KViroO3mqDwWCgVlQUWVlZxWY6lx6WUlAVlcTQ4odhqqPs7Gx+//131q5dy+zZsyu6OUII4TOOPSvNPtnoUbByV6OJTFx9hw9bXHVIwCI89tRTT/H7778zZMgQmbQphKiynA0DnfYwWHm6y1Am+rDNVYkELMJj7ixhFkKIyszTOSuughXhPglYhBBCiEL0CnbLkk2axoRQ94OVPJOJJfs2c8yQQXxENEOv7MzQFeMlWPFQqWeMbt68mQEDBhAXF4eiKHz55Zd2948ZMwZFUex+OnbsWGK9y5Yto2XLlgQFBdGyZUtWrFhR2qYJIYQQHpnUIpK9VzdlXGADhppjGBfYgKeDGrgdrMz6aTnXfXITr/4xni+Ov8Krf4yn8xfdJFjxglIHLBcuXKBNmzbMnz/fZZm+ffuSlpZm+/nmm2+KrXPr1q0MHz6cu+++mz179nD33XczbNgwtm2rnvslCCGEKH+TWkQykhi0XJ3DPdZ0+19lnysxWPko5UUsOvuMtoqaj6bBlSE3S7DigVIPCfXr149+/foVWyYoKKhU+4vMmTOHm266iYkTrVOPJk6cyKZNm5gzZw5LliwpbROFEEKIUtErcFdwXbRccL55IdwWGMVU5ZzTrLV5JhOL/3oddPZ7ABV2MPtH8kwmAp1scyFK5pMkIhs3bqRevXo0b96cBx54gMzMzGLLb926ld69e9sd69OnDz///LPLc4xGIwaDwe5HCCGEKIsxjcLQcvW4ClZAQcvVM6ZRmNN7l+zbjKbPchmsKApo+nMs2bfZK+2tjrwesPTr14+PP/6YH374gdmzZ9v2dSnYH8aZ9PR0oqOj7Y5FR0eTnp7u8pzp06cTGRlp+3F34zohhBDCUcMQ93o9XJU7Zshw63x3y4mivN4vVXhn3VatWnHttdfSsGFDvv76a4YMGeLyPMUhLNU0rcixwiZOnMi4ceNstw0GgwQtQgghyuRojgncSPZ6NMfk9Hh8RLTT42UtJ4ryeV752NhYGjZsyOHDh12WiYmJKdKbkpmZWaTXpbCgoCAiIiLsfnzOYkH9Yz+6n7ei/rG/3HbO3LNnDx06dODxxx93ev/q1atZvXp1ubRFCCGqIpOmAcXlVdFQgk0sSnG+qeHQKzujWQJcn62BYqrJHa1u8Kyh1ZjPA5Z//vmHY8eOERsb67JMp06dWLdund2x7777js6dO/u6eW7Tbd9OSPKThEybRvAbbxAybRohyU+i2+77zapWr17NsGHD2LNnj11g98knn3DhwgXb7QsXLvDxxx/7vD1CCFGVjGoYyoTQ+hSsBioauFhvL8495XLC7dAV422rgRx36Cu4fVeTx2TCrQdKHbBkZ2eze/dudu/eDcCRI0fYvXs3qampZGdnM378eLZu3UpKSgobN25kwIABREVFMXjwYFsdo0aNsq0IAhg7dizfffcdM2bM4MCBA8yYMYP169eTnJzs8RP0Bt327QTNnYdy5ozdceXMGYLmzvNp0JKTk8P69esZOnQo119/vV1PSnh4OI899hh79uxhz549PPbYY9SqVctnbRFCiKrGMYPtMjUDJdhsV0YJNvMx6bx0MKvI+Y4ZbK8MuQXVHGlXRjXXZFSjyYzv4npahChZqUO9HTt20KNHD9vtgnkko0eP5s0332Tv3r189NFHnDt3jtjYWHr06MFnn31GeHi47ZzU1FRU9XKs1LlzZz799FMmT57Ms88+S5MmTfjss898ti+NpmloOTnO78zNtb9tsRD40X+BonPHC2LxwI/+S85VV4HqRvwXFOR6zZsT69atIyEhgUaNGtGvXz9mzZrF/fffj6IoDBgwgKSkJEaPHg3Ahx9+WKrl5EIIUZ1dXPux03T7U5VzdpluFx3Kdtqzgqo6TbfvmOn2jlY3SM+KFyia5th5VTkZDAYiIyM5e/p0kfksubm5pBw7RuNGjQgODsZy8SKHrk2qkHZeePcdCA52u/x9993HjTfeyB133IHJZKJfv368+OKLdOjQgW+++YYvvviCK664AoC///6b22+/nZtvvtlXzRfVVPtrrilV+dzcXI6kpNAoPp7gS+93T7evF8KROS+vzOdeXPsxJya+jMWklGlvIFSVK57rRY1GaR5nsPX0d8OT6+APbTAYDNSKiiIrK6vY+ag+n8Miyi4lJYXff//dlqNGr9dz00032YaFzp49y/z582nbti1t27Zl/vz5nD17tiKbLIQQfs+fghXhvmrZR6WEhNB8h/N5J7suzc0poB44SMisWSXWmTN+PJbEFiU/eFCQO00EYNWqVZjNZvr37287pmkaer0eg8HAyJEj7cqHhoYycuTIUn8bdmbnr796XEdFk+sghHP+8I3cG8rSBsc5K63W/MLpiNpun+84ZyVzeRATV9/BxJJP9RlvvBbeeE/4WvUMWBQFpUYN53c6DNdYrm6NpXZtlDNnnOY/1ACtdm0sV7d2bw6Lm0wmE19//TXJyclF5vJMmDCBtWvXMmzYMAAGDBjgtccVQoiqyjFY6bn7qEfByl2NJjJx9R0+bLEoTIaESqKq5N19F+BqoRvW+70YrAD8+OOPnD9/nltvvZWmTZva/fTq1YuVK1d69fGEEKIqcxaslGYYyFmwIsNA5UsCFjeYk5Iwjn0CrbZ9JK7Vro1x7BOYk7w/gXflypVcd911hIUV3beiZ8+eHDp0iAMHDnj9cYUQoqqRYKVqqJZDQmVhTkoip3171AMHUc6dQ6tZ0zpnxcs9KwVee+01l/clJiayvRwS1gkhRGmoCnRN0BEbrpB2XmNLqhlLKdehelqHXsFuSbJJ05gQWrpgpfCy5LiwKD498CUZbJVgpYJJwFIaqoql5ZUV3QohhPA7gxP1zO0bTHzk5S9xx7IsjF2by4oDzvff8XYdk1pEcldwXeuuy2Yu7Q2koZViNdCsn5az+K/X0fT2SeI0TZFgpYLJkJAQQgiPDE7Us3RYCPUj7Jcm1I9QWDoshMGJJX839rSOSS0iGUkMWq7O4R5ris+vss+5Fax8lPIiFp1jsAKgoTpdeiHKi/SwCCGEKDNVgbl9gy/9W3G4T0HTND64NYSro40utxZUgCc7BqFgXcVZ2jpUDUZk1cWSW1BbUbcFRjFVOec8Yy3WYaDFf70OuqLJyBXFGrQs/ms+T3QYKFlrK4hcdSGEEGXWNUFnN4TjSFEUIoNhSnf3M3yXto4LGYGkbiju40xBy9UzplEY7x5xvtvykn2b0fRZLvtQFAU0/TmW7NvM6LY9S/cEhFdIwCKEEKLMYsPdGyb57i8Tf56xOL2vaW2V3k1K/jhyVcfVWiB13GhDwxDXj3HMkOFGDe6XE95XPQKWS/17VWTbJCH8nu13rRQbfYrKKe28e39Xp20xsumo2el93Rrq3ApYXNVxf2M949xI9no0x/XE3biwqJIrAOIjot0qJ7yvWky61emsk7Dy8/MruCVCVA8XL14EIEDG+qu8kIDivwxaNI3ULAtbUp0HKwBbUs0cy7JgcVFPSXXsTjdTNLVnYRpKsIlFKc6Hg/JMJj498KW1pItqNA0UU03uaHVDMY8jfKla/DXR63TUCAnh1KlT6PV6VB/lTvEXubm5Fd0EvyDXwXvcvZaapnHx4kVOnTpFzYgI25cFUTX1bqJjxfAaKJcmxmrYT7wtCECS1+YWm0vFosHYtbksHRaCRdNKVUe7kBDebNCAgtVAVoV79qzHFueecjrhtiApnDXPirUOTbPvHCwIYu5q8phMuK1A1eLKK4pCTHQ0KampHE1NLbbs6dOny6lVvnMkJcXjOuQ6WFWF6+ANpb2WNSMiiK5XzzeNEX6hdxMdK0fUIFivsGJ/Pkv25TO7dzDxkZc/6Y8bNJLdzKGy4oCJ2z7PuZSHxb062oWEsLBBA0JVHb9cuMDR0POMCI6y5mG5RAk2szj3FC8dzCpyPqpaJIOtilIkD4tqrsldTR5jfJch7l4e4QOKVkUmdhgMBiIjIzl7+jQRERFOy1gsFvLz84vtvmzZurWvmlhu/ti71+M65DpYVYXr4A1uX0tFIUCvd9qz4g+7+worj3fm/esH8hbfbgtWhi/NId9SvpluHYOVR04cJ1fTimS6XZSS7Xwps6pyxXO9qNEorUgG28KZbuMjormj1Q0ue1aqyvu6IndrNhgM1IqKIisry+XnN1SzgMUdVeHNV1W2jveUXAfvkWtZtXj0ev71A8oXd6OYjXbBSnlyFay4rZhgpbSqyvu6MgQs1WJIqDQq8kUT3lVV/pBUFZ7+bsnr6T1lvZaOw0BVIVjJXB7ExNV3MNF3Ta4UPP39Ko/Pzqo9+1QIIYRXVNVg5dRq2Ui2spCARQghRLEkWBH+QAIWIYQQLkmwIvyFzGERQggBFF2hExIAK4aXb7CiAu1DalBXr+OUyYwZjbdLE6yoKjW7tCSgbij5py5wbusBrpjcQ4KVKkACFiGEEAxO1F/KgXK5413TNBSl/IKVG8PCmFgvmtiAANuxgkRy7gQrUQOupd4tetSgbOACAPXHtEbRSbBSFUjAIoQQ1dzgRD1Lh4UUOV6QwXbJvvxyCVbmxNUvcly91IalWedKDFaihxTNyKzo8tE0yN5Xl1Orv/dqm0X5kjksQghRjakKzO0bfOnfRTer1IBZvYNRfbiPpQpMrBddbBueqlvP9QeWqlLvFuv3b1f7bYY2vwhVfFuWqk5ePSGEqMa6JuiIj1SdBgpgDSASIlW6JvhuX6j2ITWIDQgotg2xAQG0D6nh9P6aXVqiBmW7DFYUBdSg89Ts0tJbTRYVQAIWIYSoxmLD3es6cbdcWdTVuxcMuSoXUDfUrfPdLSf8kwQsQghRjaWdd295sLvlyuKUyexRufxTF9w6391ywj9JwCKEENVYSADFbghr0TRSsyxsSXUvqCiLnTkXScvPx+KiHRZNIy0/n505F53ef27rATRzgNP7ADQNLMZwzv30h1faKyqGBCxCCFFN9W6iY8XwGrbVQI4BQ8Ht5LW5pd51uTQswPTMDKBo8FTQhumZGThdqKSqXDG5h201kGPMU3A786t8sJRzxjvhVaUOWDZv3syAAQOIi4tDURS+/PJL2335+flMmDCB1q1bExoaSlxcHKNGjeLkyZPF1rlo0SIURSnyk5tbdImaEEIIzznLYHvCYP9pf9ygcdvnOaw4YPJ5e9ZnZ5N88gTnzPY9ORkmE8knT7A+O7voSQ4ZbLP3RaPlhdkV0fLCyVgezOnVO3zZfFEOSp2H5cKFC7Rp04Z77rmHoUPtt+O+ePEiv/76K88++yxt2rTh7NmzJCcnM3DgQHbsKP7NEhERwcGDB+2OBQcHl7Z5QgghSuAq3f6y/dl2mW63pJp92rPiaH12NgrpzK3fgL+NRqZmZLAz56LrnpUi6fa/L5rp9qdt0rNSRZQ6YOnXrx/9+vVzel9kZCTr1q2zO/b6669z3XXXkZqaSkJCgst6FUUhJiamtM0RQghRCsXtDWTRYNNR381VcUdBfHTWbGa7izkrxe4NZLFwbsu+cmmrKF8+n8OSlZWFoijUrFmz2HLZ2dk0bNiQBg0acMstt7Br165iyxuNRgwGg92PEEII1/xhI0OPyUaG1ZZPU/Pn5ubyzDPPcOeddxIREeGyXGJiIosWLaJ169YYDAbmzp1Lly5d2LNnD82aNXN6zvTp05k6darX26wLDPTofHNeXoW3QfgXT98T/vB+8EYbPL0O8rvlmcLBitb8Zm595l1yF1fc9SjTa+GDYKUq/H5WFz7rYcnPz2fEiBFYLBbeeOONYst27NiRu+66izZt2tC1a1c+//xzmjdvzuuvv+7ynIkTJ5KVlWX7OXbsmLefghBCVAmOPSvakHdBV8k+aKVnpdrzSQ9Lfn4+w4YN48iRI/zwww/F9q44o6oqSUlJHD582GWZoKAggoKCPG2qEEJUac6GgSqyZ6VMJFgR+KCHpSBYOXz4MOvXr6dOnTqlrkPTNHbv3k1sbKy3myeEENWGzFkRVUmpe1iys7P5888/bbePHDnC7t27qV27NnFxcdx22238+uuvfPXVV5jNZtLT0wGoXbs2gZfG+kaNGkX9+vWZPn06AFOnTqVjx440a9YMg8HAvHnz2L17NwsWLPDGcxRCiCpPVbBbkhwSACuGV75gRVGs36Pr1gylR/2WHOsdS7AEK4IyBCw7duygR48ettvjxo0DYPTo0UyZMoVVq1YB0LZtW7vzNmzYQPfu3QFITU1FLbTN97lz53jwwQdJT08nMjKSdu3asXnzZq677rrSNk8IIaqdwYl65vYNJj7y8t9VTdNQlMoVrAzp3panzxohVyMhT2NBnsbpb07wwY06vvpdgpXqTtGK20SiEjEYDERGRnL29OlSz5kpTFYJCW+TVQhW3vjd8FRVuZaFDU7Us3RYCACqYr+jsqZpDF+awxd/2Geq9cfXYkj3tryQZs1uXvhZWC7dfjY2mOUbd3u9HfL76R2eXEeDwUCtqCiysrKK/fyWvYSEEKKSUhWY2zf40r+VIvdrwKzewahF7/IrqqqSfN4I2AcrYP2Q0oDkbKNdz7yofuTVF0KISqprgo74SNVpsALWICYhUqVrgq6cW1Y63ZISicrWigQrBVQg6rxGt6TE8myW8DMSsAghRCUVG+5e14m75SpKdJh7KSrcLSeqJglYhBCikko7794URHfLVZRTF4xulcvIdq+cqJokYBFCiEoqJMA6sdYVi6aRmmVhS2rFbmhYHFVVGRxh7Tlx9UwswOlwhU3bD5Rbu4T/kYBFCCEqod5NdKwYXgNFUdA0DYtD4FJwO3ltLhY/7WBRVZV5N7Wl59EcCkIqx9XXBauE5oQFYbFUgrXZwmckYBFCiEqmcAbbLw9Y86ycMNhHJccNGrd9nsOKAyYXtVQsW7CSchGzAlNig3k2NpgzYfbzbc6EKz5b0iwqF5/u1iyEEMK7HIOVYV9Yk8It259tl+l2S6rZb3tWjEajfbASE8yySwHJl6pKt6REosOCyMg2smn7AelZEYAELEIIUWm4ClYALBpsOuq/c1UKGI1GPr+nv9NgBcBisbBh2x8V10DhtyRg8TLJemjlj5k0K4q/tMMT/vB6+ouKyoxaXLBSXm3wVJFhIIdgpSJUhezm/tCG8iBzWIQQws95M1ipKP4YrIjKRQIWIYTwYxKsCGElAYsQQvgpCVaEuEzmsAghhB9QFexW+YQEwIrhlStYUR1W+GzZeYg5va6WYEV4hQQsQghRwQYn6pnbN5j4yMud3pqmoSiVJ1gZ0r0tyeeNRJ2zwLkcAHJbNCVYghXhJRKwCCFEBRqcqGfpsJAixwsy2H6yN79SBCsvpOUWOR5ssqbbX944jGVrdpR/w0SVInNYhBCigqgKzO0bfOnfRXdU1oBZvYNR/XizZVVVST5v3ZTQVTN7nLqAqsrHjfCMvIOEEKKCdE3QER+pOg1WwBrEJESqdE3QlXPL3NctKZGobM1lsKIAUec1uiUllmezRBUkAYsQQlSQ2HD3uk7cLVcRosOCvFpOCFckYBFCiAqSdt69zX7cLVcRMrKNXi0nhCsSsAghRAUJCbCuBnLFommkZlnYkuq/ewRt2XmI3GKWb1iA0+EKm7YfKLc2iapJAhYhhKgAvZvoWDG8hm01kMUhcCm4nbw21293XVZVlTm9rratBnJspgXrHJY5YUGy47LwmAQsQghRzhwz2A5fmsMJg/3H/XGDxm2f57DigKmCWlk8xwy2S68I458w+7k2Z8IVno0NZrnkXxFeIHlYhBCiHLlKt79sf7ZdptstqWa/7lkpkm5/zQ6mOmS63bT9gPSsCK+RgEUIIcrLXz+43BvIosGmo/47V6VAcXsDWSwWNmz7o2IbKKosGRISQojy8NcPKF/cXan2BnIkGxmKiiQ9LMJv6QIDK7oJfsGcl+dxHf5wLf2hDd5QludRFXdd3vnA7Xz++LNlrs8b7wdv/G5UBVXld6skErAIIYQPVcVgZUpMsEfBihBlIUNCQgjhI1U1WJFhIFERJGARQggfkGBFCO+SISEhRLWnKni0pNjx/JAAWDG88gUraqFlyacuGBkcESTBivAbpe5h2bx5MwMGDCAuLg5FUfjyyy/t7tc0jSlTphAXF0dISAjdu3fn999/L7HeZcuW0bJlS4KCgmjZsiUrVqwobdOEEKLUBifqSRkbxsYxoSwZWoONY0JJGRvG4ET3vs85O/+bOytfsDKke1s2tmvBgnMWnjuew+tnLfQ8moMZCVaEfyh1wHLhwgXatGnD/Pnznd4/c+ZMXn31VebPn8/27duJiYnhpptu4vz58y7r3Lp1K8OHD+fuu+9mz5493H333QwbNoxt27aVtnlCCOG2wYl6lg4LoX6EfYbW+hEKS4eFlBi0uDq/IN3+J3vzK02w8kJaLnWy7buVNKwfEn6av05UM4pW3M5bJZ2sKKxYsYJBgwYB1t6VuLg4kpOTmTBhAgBGo5Ho6GhmzJjBQw895LSe4cOHYzAYWLNmje1Y3759qVWrFkuWLHGrLQaDgcjISM6ePk1ERERZn1K1WR7ma1VlKa4/8Idr6Q9t8DZVgZSxYdSPUFAVpcj9Fk3jbI7Gk98anX5gK8BrfYKoHaKguDj/uEGj8dxsv81YC9ZhoI3tWlAnW6Pos7DuB3QmXKH7rwftstZ6+p6QZc2X+dvvRll48loYDAZqRUWRlZVV7Oe3V+ewHDlyhPT0dHr37m07FhQURLdu3fj5559dBixbt27lySeftDvWp08f5syZ4/KxjEYjRuPl7coNBoNnjRdCVCtdE3TER7ruZFYVhTo1FD4aHFKm+lVFISFSoWuCzq8z2HZLSiTqnOtuIBWIOq/RLSlRstiKCuXVgCU9PR2A6Ohou+PR0dEcPXq02POcnVNQnzPTp09n6tSpHrRWCFGdxYY7608oak+6mbTsol0ksWEKbWJ0XnucihIdFgTnctwrJ0QF8skqIcfuUU3TnHaZenLOxIkTGTdunO22wWAgPj6+DK0VQlRHZy66N04zdm2u0x6Sbg11bBwTWuL5aef9eDwIOHXBWHIhICPbvXJC+IpXA5aYmBjA2mMSGxtrO56ZmVmkB8XxPMfelJLOCQoKIihIIn4hROmF6OHpLta/H66+HBXMQdmS6nw4Z0uqmWNZlmLnwBR3vj9QVZXBEUFwNgcNip3Dsmn7gXJunRD2vJo4rnHjxsTExLBu3Trbsby8PDZt2kTnzp1dntepUye7cwC+++67Ys8RQoiyCNHD6jtq0OsKPTn51t4Pi8Pag4LbyWtzXU6YtWjW3peynl/RbEnhLi1dBmtwUpgFaxAzJyzIbsKtEBWh1D0s2dnZ/Pnnn7bbR44cYffu3dSuXZuEhASSk5OZNm0azZo1o1mzZkybNo0aNWpw55132s4ZNWoU9evXZ/r06QCMHTuWG264gRkzZnDrrbeycuVK1q9fz48//uiFpyiEEFaFg5XzRo0+iy8SE6Ywt28w8ZGX+xeOGzSS1+ay4oCp2PpWHDBx2+c5ZT6/ojjLYKsByeeNRBWar3MmXGFOWBDLJQeL8AOlDlh27NhBjx49bLcL5pGMHj2aRYsW8fTTT5OTk8MjjzzC2bNn6dChA9999x3h4eG2c1JTU1HVy507nTt35tNPP2Xy5Mk8++yzNGnShM8++4wOHTp48tyEEMLGWbCy9bi1b2HlwewyZ7pdccDk0fnlrbh0+18WynSbkW1k0/YD0rMi/IZHeVj8ieRh8S9VMW9HRfGHa+kPbfBEccFKdeLNvYEkD4v3VIW/deWRh0U2PxRCVGkSrFjJRoaispPND72ssn8TFf7HH76JVtb3pC+Clcp4LR2DlZ0P3M7njz9b7u3wNn94X3rjb74/vKcqQ2+VBCxCiCpJelasnPWsVIVgRVQ/MiQkhKhyJFixkmEgUZVID4sQolJTFexW6Ow4aWbliOoXrKgOK3y27DzEnF5XS7AiqgwJWIQQldbgRP2lHCiXO4tzTRrBeqVaBStDure15lA5Z7HtC5TboinBEqyIKkQCFiFEpTQ4Uc/SYUV3Ug7WK2iaxrQtxmoTrLyQllvkeLAJNGB54zCWrdlR/g0TwstkDosQotJRFZjbN/jSv4vugKMB/0oKRPXvjZI9pqoqyeetmxK6eqo9Tl2wS9QpRGUl72IhRKXTNUFHfKTqNFgBaxCTEKnSNUFXzi0rX92SEonK1lwGKwoQdV6jW1JieTZLCJ+QgEUIUenEhrvXdeJuucoqOsy9HevdLSeEP5OARQhR6aSdd29HEXfLVVYZ2UavlhPCn0nAIoSodHacNJNrch2MWDSN1CwLW1Kr9qTbLTsPkVvM0gkLcDpcYdP2A+XWJiF8RQIWIUSlEqKHlSNq2FYDWRz2by24nbw21293TPYGVVWZ0+tq22ogx6dqwTqHZU5YkOy4LKoECViEEJWGYwbbf39v5ITB/qP6uEHjts9zWHHAVEGt9D3HDLZLrwjjnzD7+TpnwhWejQ1mueRfEVWE5GERQlQKrtLtz/w5zy7T7ZZUc5XvWSmSbn/NDqY6ZLrdtP2A9KyIKkUCFiGE3ytubyCLBpuOVu25KgWK2xvIYrGwYdsfFdtAIXxIhoSEEH5NNjK0ko0MRXUnPSxepgsMrOgmiEvMeXkV3QTA8/eEN55HZX1fFg5WtMBQQkd/wY//ua6im1XuvB2s+MP7oar8fvrDtfQGf/g7VRLpYRFC+CXHnhXtji+ggQQr0rMiqisJWIQQfsfZMJAEKxKsiOpNAhYhhF+ROStWEqwIYU/msAghKoyqYLckecdJMytHVM9gRS20LPnUBSODI4IkWBGiEAlYhBAVYnCinrl9g4mPvNzRm2vSCNYr1S5YGdK9LcnnjUSds8C5HOvBszmYkWBFiAISsAghyt3gRD1Lh4UUOV6Qbn/aFmO1ClZeSMstclzDOmZfhXPgCVEqModFCFGuVAXm9g2+9G+lyP0a8K+kQNSid1U5qqqSfN66k7Lj01WwXovkbCOqKn+qhZDfAiFEueqaoCM+UnUarIA1iEmIVOmaoCvnlpW/bkmJRGVrRYKVAioQdV6jW1JieTZLCL8kAYsQolzFhrvXdeJuucosOizIq+WEqMokYBFClKu08+7NynC3XGV26oLRrXIZ2e6VE6Iqk4BFCFGudpw0k2tyHYxYNI3ULAtbUqv2pFtVVRkcYe05cXU1LMDpcIVN2w+UW7uE8FcSsAghyk2IHlaOqGFbDWTR7D+qC24nr83FUoU7WGxJ4Y5aly6DNTgpzIJ14u2csCAsFsd7hah+vB6wNGrUCEVRivw8+uijTstv3LjRafkDB+QbhRBViWMG239/b+SEwT4qOW7QuO3zHFYcMFVQK32vSAbb2GCejQ3mTJj9nJ0z4QrPxgazXHKwCAH4IA/L9u3bMZsvd+Xu27ePm266idtvv73Y8w4ePEhERITtdt26db3dNCFEBXGVbn/mz3l2mW63pJqrdM+K0Wh0mW7/y0KZbjOyjWzafkB6VoQoxOsBi2Og8fLLL9OkSRO6detW7Hn16tWjZs2a3m6OEKKCFbc3kEWDTUer9lyVAkajkc/v6e8y3b7FYmHDtj8qroFC+DmfzmHJy8tj8eLF3HvvvSguci4UaNeuHbGxsfTq1YsNGzaUWLfRaMRgMNj9CCH8i2xkaFUQrFy3N1P2BhKijHyamv/LL7/k3LlzjBkzxmWZ2NhYFi5cSPv27TEajfz3v/+lV69ebNy4kRtuuMHledOnT2fq1Kk+aLVnzHl5HtehCwz0QktEVVFZ3w/+GKxUxLX0xa7Lnv6d8Yf3lD+0oaqoLp87iqZpPhsx7tOnD4GBgaxevbpU5w0YMABFUVi1apXLMkajEaPxcm4Cg8FAfHw8Z0+ftpsLU1qevmjV5Y1TEn+4Dt5ogzdUhdeztHwRrPjDe6q0fBGsQNUIWIT3+MPvhidtMBgM1IqKIisrq9jPb5/1sBw9epT169ezfPnyUp/bsWNHFi9eXGyZoKAggoIk+6MQ/sYfe1Yqgq+CFSGqK58FLB988AH16tWjf//+pT53165dxMbG+qBVQlQdqoJHK2w8Pd9ZHTtOmlk5ovoFK6rDCp8tOw8xp9fVEqwI4UU+CVgsFgsffPABo0ePRq+3f4iJEydy4sQJPvroIwDmzJlDo0aNuOqqq2yTdJctW8ayZct80TQhqoTBiXrm9g0mPvLyvPljWRbGrs11K4eJp+e7qiPXpBGsV6pVsDKke1uSzxuJOmeBczkA5LZoSrAEK0J4lU8ClvXr15Oamsq9995b5L60tDRSU1Ntt/Py8hg/fjwnTpwgJCSEq666iq+//pqbb77ZF00TotIbnKhn6bCQIsfrRygsHRZSYuI1T88vro6CDLbTthirTbDyQlpukePBJmu6/eWNw1i2Zkf5N0yIKsink27Lk8FgIDIyUibd+gl/uA5VcdKtqkDK2DDqRyioTlIFWDSN4waNxnOznQ7veHq+t+ooC394TxWmqiob27WgTraGs6QNGvBPuEL3Xw96PQGcTLoVhfnD70alnnQrhPC+rgk6uyEYR6qikBCpsPuhULKMRaOFyCDFo/NLU0fXBF2VTgrXLSnROgzkggJEndfolpQoCeGE8AIJWISoRGLDi0/AWKB1tM6jx/H0fHC/rZVVdFiQbc5KieWEEB6TgEWISiTtvHtjLM/+kMvvp4p++7+qrsoLPYPLfH5p6nC3rZVVRrax5EKlKCeEKJ4ELEJUInsyzBhNGkF6570XBfNHpv2Y53T+yMqD8GD7wBLnn7g6vzR1bEmtusNBAFt2HrKuBnIxP9mCdcflTdtl53khvMGnewkJIbwnIgjWjgwl6NJKHIvDfPmC28lrc10GGxYNxq7NtStfmvO9VUdlp6oqc3pdbVsN5PhULVjnsMwJC5Idl4XwEglYhKgEIoLgu7tC6dBAxz8XLTz1XS4nDPYfk8cNmltLklccMHHb5zllPt9bdVRWjhlsl14Rxj9h9j1NZ8IVno0NZrnkXxHCa2RZswN/WEpbFZYc+sN1qCrLmh2DlZ4fXeS3DItfZrotSx3u8of3lKt0+46ZbjdtP+DTnhVZ1iwK84ffDVnWLEQ15ypYAevQjCfLhj0931t1VBbF7Q1ksVhk6bIQPiZDQkL4qeKCFVG+ZCNDISqe9LA4kK5W7/DGdfCHIZ2Kej29HaxUhWtZUa+FBCu+4Q/DGFVFVfl7WxLpYRHCz0jPiv+QYEUI/yEBixB+RIIV/yHBihD+RQIWIfyEBCv+Q4IVIfyPzGERogI4Lgfek2Fm7UgJVipK4WXJpy4YGRwRJMGKEH5GAhYhytngRD1z+wbb7XhckG5fgpXyN6R7W5LPG607LxdsZng2BzMSrAjhTyRgEaIcDU7Us3RYSJHjBen2X9pilGClHA3p3pYX0nKLHNewjpdXiayaQlQRModFiHKiKjC3b/ClfxfdNFADkjsGoTrf11B4maqqJJ+37qTseMkVLr0e2UZUVf5MCuEP5DdRiHLSNUFHfKTqNFgBaxCTEKnSNUFXzi2rnrolJRKVrRUJVgqoQNR5jW5JieXZLCGECxKwCFFOYsPd6zpxt5zwTHRYkFfLCSF8SwIWIcpJ2nn3ZkS4W0545tQFo1vlMrLdKyeE8C0JWIQoJ3syzBhNroMRi6aRmmVhS2r12EywIqmqyuAIa8+Jq1fEApwOV9i0/UC5tUsI4ZoELEKUg4ggWDsy1LYayKLZf0wW3E5em4tFOlh8ypYU7qh16TJYg5PCLFgn3s4JC8JikVVbQvgDCViE8DHHDLZPfZfLCYN9VHLcoHHb5zmsOGCqoFZWD0Uy2MYG82xsMGfC7OcNnQlXeDY2mOWSg0UIvyF5WITwIVfp9uduy7fLdLsl1Sw9Kz5WXLr9Lwtlus3INrJp+wHpWRHCz0jAIoSPFLc3kEWDTUdlrkp5KWlvIIvFwoZtf1RcA4UQJZIhISF8QDYy9B+ykaEQVYP0sDjQBQZ6dL45L69KtMFTnj4Hb9VRERyDlVpPbGbXS63KXF91vpaekmDFf3njPSl/b62qy++39LAI4UXOelaILnuwIspOghUhqhYJWITwEhkG8h8SrAhR9ciQkBBloCrYrfLZk2Fm7UgJViqC6rDCZ8vOQ8zpdbUEK0JUMV4PWKZMmcLUqVPtjkVHR5Oenu7ynE2bNjFu3Dh+//134uLiePrpp3n44Ye93TQhvGJwop65fYOJj7zcQWk0aQTpFQlWytmQ7m1JPm8k6pwFzuUAkNuiKcESrAhR5fikh+Wqq65i/fr1tts6nevdZ48cOcLNN9/MAw88wOLFi/npp5945JFHqFu3LkOHDvVF84Qos8GJepYOCylyvCCD7UtbjBKslJMh3dvyQlpukePBJmu6/eWNw1i2Zkf5N0wI4RM+CVj0ej0xMTFulX3rrbdISEhgzpw5AFx55ZXs2LGDWbNmScAi/IqqwNy+wZf+XXRHZQ1I7hjE3G35kgTOx1RVJfm8dVNCV3tb9zh1gamqKgnghKgifDLp9vDhw8TFxdG4cWNGjBjB33//7bLs1q1b6d27t92xPn36sGPHDvLz812eZzQaMRgMdj9C+FLXBB3xkarTYAWsQUxCpErXBNc9isI7uiUlEpWtuQxWFCDqvEa3pMTybJYQwoe8HrB06NCBjz76iG+//ZZ33nmH9PR0OnfuzD///OO0fHp6OtHR0XbHoqOjMZlMnD592uXjTJ8+ncjISNtPfHy8V5+HEI5iw119PJatnCi76LAgr5YTQvg/rwcs/fr1Y+jQobRu3Zobb7yRr7/+GoAPP/zQ5TmKwzdW7dLOtY7HC5s4cSJZWVm2n2PHjnmh9UK4lnbevXEed8uJssvINnq1nBDC//l8WXNoaCitW7fm8OHDTu+PiYkpsoIoMzMTvV5PnTp1XNYbFBREUJB8exLlZ0+G2bYayBmLpnHcYN3IUPjWlp2HrKuBXGxubcG64/Km7QfKtV1CCN/xeeI4o9HI/v37iY2NdXp/p06dWLdund2x7777jmuvvZaAgABfN08It0QEwdqRobbVQBbNvhel4Hby2lyZcOtjqqoyp9fVttVAjpfbgnUOy5ywIJlwK0QV4vWAZfz48WzatIkjR46wbds2brvtNgwGA6NHjwasQzmjRo2ylX/44Yc5evQo48aNY//+/bz//vu89957jB8/3ttNE6JMHDPYPvVdLicM9h+Txw0at32ew4oDLr7yC69wzGC79Iow/gmz7/E6E67wbGwwyyX/ihBViteHhI4fP84dd9zB6dOnqVu3Lh07duSXX36hYcOGAKSlpZGammor37hxY7755huefPJJFixYQFxcHPPmzZMlzcIvuEq3P3dbvl2m2y2pZulZ8TGn6fbX7GCqQ6bbTdsPSM+KEFWQomlalfgzazAYiIyM5Ozp00RERJS5Hn/YudMf2uCpqrB7qLf2BvL09agK19JTsjeQPXlPWcnfWyt/2fm6rAwGA7WiosjKyir281s2PxTCCdnI0H9IsCKEANn80Ov84ZuLP7ShMiscrGghtah1/wp2vdSqwtrjD98iK4pjsLLzgdv5/PFny1xfZb0OjvyhV8AfrqU/9Cz4w3XwBn94T5VEeliEKMSxZ0UbuQKiKy5Yqc6cBSt3exCsCCEqNwlYhLjE2TCQBCsVw9kwkAQrQlRvErAIgcxZ8ScyZ0UI4YzMYalE9AqMaRRGwxA9R3NMLErJxlTOa7xUBY+W83p6vi/asCfDzNqREqyUhQq0D6lBXb2OUyYzO3MuUporpzosSd6y8xBzel0twYoQoggJWCqJSS0iuSu4LlquHsxAIDx1tYnFuad46WBWubRhcKKeuX2DiY+83DF3LMvC2LW5biVM8/R8X7WhIN2+BCulc2NYGBPrRRNbKCN1Wn4+0zMzWJ+dXeL5Q7q3Jfm8kahzFjiXA2BNty/BihDCCRkSqgQmtYhkJDFouTq741qujpHEMKlFpM/bMDhRz9JhIdSPsM8qWj9CYemwEAYnFh/7enq+L9tQkG7/pS1GCVbcdGNYGHPi6hOtt7/m0Xo9c+Lqc2NYWLHnD+nelhfScqmTbd81VpBuf3njMAlWhBB2pIfFz+kVLvWsgHWHlMIUQOOu4LrMULJ8NjykKjC3b/ClfysO9ylYNI0FNwdz6J+LTodmVAUW3Fz2871RR3Hng/VDMrljEHO35UvG2hKowMR60dZ/u3gtno2O4WheqtPhIVVVeSrLuouyq/3Ye5y6wFRVlYy1QggbCVj83JhGYdZhIJcUtFw9YxqF8e6Rkrvhy6Jrgs5uCMWRqijEhivse6T4b9W+Ot9bbUiIVOiaoGPTUdltuTjtQ2rYDQM5UhWFuno9Kxtf4bqSi66jQgWIOq/RLSmRDdv+8KClQoiqRAIWP9cw5NKcFXfK+UhsuKvvwfYMuRaMTtoapIOI4JJHH12d74063D3f3edandXV60ouBGSbzeQ52fkjKEBPqBu9WNFhQaVtmhCiCpOAxc8dzTGBGwkIj+b4bpfgtPPujZEM/DTHae9Et4Y6No4JLfP53qjD3fPdfa7V2SmTez1Qj544wfaci0WO9+jQkgXnSh7qycg2lrptQoiqSybd+rm+tUr6kNVQgq1LnH2lfWzx36gtmkZqloUtqc4/yLakmjmWZcHiYp/Nks73Rh3eaIOwMmmay+sI1muZlp/PTifBCsCmnYc4HY7L5c8W4HS4wqbtBzxvrBCiypCAxY8tbR9Nywu1Lt3SLv0UpgEKeXozeh+NZDzZMZDZfayTVTUnH1QFt5PX5rqcrGrRYOzaXLvypTnfG3V4ow0C2gaHsDC+AaqiFPt+mJ6Z4TwgUVUaTe7BoptUFIoGLRasc1jmhAXJhFshhB0JWPzU0vbRtMy2Biu/hPzDx6SjBNt/+1cCLaBoBGQHsaF9PG5M0SiVJzsG8uqlYGXqJiNDP8/hhMH+A+q4QeO2z3NKzIGy4oCJ2zw43xt1eKMN1Vnb4BDeiW9AqKrjlwsX+L+0k2SY7K9ZhslE8skTzvOwqCpXPNeLGo3S2NZcz4vta3MmzD7SPhOu8GxsMMtlSbMQwoGiacX07VYiBoOByMhIzp4+TURERJnr8YedNx2DlXt3nwKcZ7od2zSC+/SxYFHIirhAj53HyPXCF1PHYGXKRut8gqqY6ba488tjB9Ly4On72jFYeeTEcXI1zf1Mt4WCFU1TyVwexKnV24tkut20/YDLnpWqssOwP5BreZns1uwdnlxHg8FAragosrKyiv38loDFQUW/+VwFK8V5qpl3gxZXwUp1JAGL62DFbS6CldKSD1nvkWt5mQQs3lEeAYsMCfmRsgQrALMPG3jPlAaqRqQh1KPhIQlWRGH+EqwIIYT0sHhZWaPtwsFK3WGdqP3s26WuI3vJHE6+/B5aGXtaCgcr2vXj0W6YAE6ywrrDG986/KF3ozp/eyocrNTocB31X38dNSTE7fPzTCYGLE0m3fKzBCuF+EPvhj/8bvmLqvA7XtnfU9LDUok49qyUJVgBCLsjmbhn7itTT4tjz4onwYqo/Bx7VjwNVu5qNFGCFSGERyRgqWBlHQZyJeyO5FIPDzkdBpJgpdpyNgzkabDydJehPmyxEKI6kEy35cTZCp9Pr/FusFJg9mEDNIP79LG2oKXHzmOYtKJteLyDzFmprNxeoVOK868u5ZyVPJOJJfs2c8yQQXxENEOv7MzQFeMlWBFCeJ3MYfEyZ+OAk1pEXtpx+XJ8qOgtaCZr14djsOKtWeuFVw/lhxkJzNehGS+3QQ02EdveQER8bpFgxR9mzvvDOLu/jm/fGBbGxHrRdpsQpuXnMz0zw3kOFDfO/8dkIlRVCHYSrDh7LWb9tJzFf72Ops+yHdMsAShqvtNgxV+vZXmr7PMNqpqq8L6s7O8pmcPiJya1iGQkMWi59untC4KVzIjzXutZcWRbPXQpuZxmtG+DJVfHiZ9qseZnvfSsVCI3hoUxJ64+0Xr7DtJovZ45cfW5Maz4HatdnV9bpyNY1XEwN7fEnpVZPy3no5QXseiy7I5bgxW4MuRm6VkRQniVBCw+pFfgruC6l245mxOiEZ0X4rO0+gBz/zSgBFgoSONvz3q7cWZtn7ZBeI8KTKwXbf23wzyjgtsT60W7/MUu7nzlUrr9SJ3O6S7LBfJMJhb/9fqlc5yXOZj9I3kmyRwshPAemcPiQ2MahdkNAxWloOXqGdMojHeP+GbzwjGNwtDyitu80PdtEN7TPqSG3TCOI1VRiA0I4K36DThtLrqRY5ROV+z5iqIQExBA+5AaTndaBliybzOaPstpCG6tAzT9OZbs28zotj2LfT5CCOEuCVh8qGGIHtzY/LdhiO9eBn9og/Ceuvrid84ucH0Jw0KePM4xQ4ZbdbhbTggh3CGfUj50NMcEbsxjOprju65zf2iD8J5TJjeiT+DTs2c5lp9f5Hh8QAAjatVycob7jxMfEe1WG9wtJ4QQ7pCAxYcWpWTz1NWmSxNunc9hUYLNLDrku6EYf2iD8J7fci6Sa7EQrDqfpWLRNDJMJl7MzHC6xFkFuoWFEa3XF5nDUvj8nS6GgwCGXtmZ2fusq4Gc0TRQzTW5o9UN7jwlIYRwi0y69SGTBotzC1YAOU5itN5enHsKkw8XlpfcBoWU3Pyidwm/EwDMiqtPsKqiaRoWh4mxBbenuwhWACyX7i9cvjTn55lMDF0x3rYayHFubsHtu5o8RqBevg8JIbxHAhYfe+lgFh+TjhJs38WuBJv5mHReOpjl4kzft4EAC2Y0GhLCK3Fx0t3mxwKAV+Pq0ys8HKPFwpv/nCbDYRVOhslE8skTJeZhWZ+dTfLJE6U+3zGD7ZUht6CaI+3KqOaajGo0mfFdhpT+SQohRDG8njhu+vTpLF++nAMHDhASEkLnzp2ZMWMGLVq0cHnOxo0b6dGjR5Hj+/fvJzEx0a3H9efEcWBd4vxb8xaAwiek8fKhLJc9K75K2uYs227nGqHMi6tPoKry7XkD/3fyJCYftqE0/CG5lT8klXIMVh49cZyfL170SaZbV+fnXLzoNN2+Y6bbO1rd4LJnxR+upT+o7Em+qpqq8L6s7O8pdxPHef1L9aZNm3j00UdJSkrCZDIxadIkevfuzR9//EFoaGix5x48eNCusXXr1i2mdOViKkiDosHytAs+HQYqrg2OS5c3X7jAEydPMC+uPn3CIyAO/u/kyfJvnHDKVbAC1uEdV0uP3eH2+arqcm+gQL1eli4LIcqF1wOWtWvX2t3+4IMPqFevHjt37uSGG4qfhFevXj1q1qzp7SaJEjgLWrT8fJRi8nUI3ysuWCk3qsoVz/WSvYGEEBXO59MWsrKsczRq165dYtl27dqRm5tLy5YtmTx5stNhogJGoxGj8XI6eYPB4HljqzHHoOX1Zs1sw0MVpSp01ZZV4WBFCQykyevz2NK5c5nrK9O1vBSs1GiUhqapZC4PYuLqO5hYxjb4wzCjP/CH5+EPbagq/GE4xhsqwzChTyfdaprGuHHjuP7662nVqpXLcrGxsSxcuJBly5axfPlyWrRoQa9evdi8ebPLc6ZPn05kZKTtJz4+3hdPoVopCFryLBb6hEfIRNwK4tizUv/1eYR6EKyUiZNg5dTq7eXbBiGEKMSnuzU/+uijfP311/z44480aNCgVOcOGDAARVFYtWqV0/ud9bDEx8f77aRbgD8SW4CmcFvan/xhcN13UdHfRG8IdT4RV/ies2GgLefOeVxvqd4TPgpWKvp9LYQv+EMPS2XoHSlOhe/W/Pjjj7Nq1So2bNhQ6mAFoGPHjhw+fNjl/UFBQURERNj9CO+QnpaK4U9zVqRnRQjhb7z+OaRpGo8//jgrVqxg48aNNG7cuEz17Nq1i9jYWC+3ruLoL60QAhgSG8qh866XNfsDV6uHLHi2lNYfeLoc2Bdt+C3nIrPKO1hRVWp2aUlA3VDyT13g3NYDXDG5hwQrQgi/5PWA5dFHH+WTTz5h5cqVhIeHk56eDkBkZCQhISEATJw4kRMnTvDRRx8BMGfOHBo1asRVV11FXl4eixcvZtmyZSxbtszbzasQk1pEcldwXbRcayr0O4ll5NV1WZx7qlwSx5WVY9BSL0FPrD6AmEKrh9Ly85memVFisjJ/cWNYGBPrRdvtWFzez8FZGwrS7ZdXsBI14Frq3aJHDcoGLgBQf0xrFJ0EK0II/+T1IaE333yTrKwsunfvTmxsrO3ns88+s5VJS0sjNTXVdjsvL4/x48dz9dVX07VrV3788Ue+/vprhgyp/NkyJ7WIZCQxl/byuUzL1TGSGCa1iHRxpn8oCFryLRbahdQg2iEpWLRez5y4+tzo4e7A5eHGsDDmxNWv0Ofgqg0F6fbfO/NPuQQr0UNyUQLtAzRFZ023n72vrgQrQgi/49NJt+XJHzPd6hXYe3XTEjcebP3bn3bDQ/42OVEFNjdpSi2dDqWYDfNu+vsvvx0eUoF1VzQpcdM/Xz6HsrbBq5P6VJWWb16HEpiNkyZY9wfKC+ePf20Di3evhL+9r4XwBpl067kKn3QrrGnwtVw9zoMVAAUtV8+YRv7dO9E+pAa19XqnwQqAqijEBgTQPqRGObfMfe1DahAbEOA0UIDyeQ7+0IaaXVqiBjkPVgAUBdSg89Ts0tJnbRBCiLKQgMWHGoa4N0XI3XIVpa5eV3KhUpSrCP7wHPyhDQF1i98eo7TlhBCivEjA4kNHc9zLXuJuuYpyymQuuVApylUEf3gO/tCG/FMXvFpOCCHKiwQsPrTrnBGU4qYIaSjB1l2T/dnOnIuk5edjcTHdSdM00vLz2enBRny+9ntuDsZi5mRomsYZk8mnz+G3nIvkFtMGSzlcx3NbD6CZXe8RpWlgMYZz7qc/fNYGIYQoCwlYfKRdzQD+27AhaAUJWBw/7K23F+ee8ut8LGDd1Xd6Zob13w5Bi6ZpKIpCuinfb99MwYrC/PoNCLq0EsfVc4jQ6ejuo5VCAcCsuPq21UCObSi4PT0zw3cTl1WVKyb3sK0Gcow/C25nfpXv9Qm3QgjhKX/9jKnU2tUM4ONGDSFHDyEmvgs8hRJs382vBJv5mHS/zsNS2PrsbJJPniDDZD98ddZsti159seMuMGKwhv1G9AxNJQLFjNzTp0q8hzSTSZ2XryIXlF4La4+Pb0ctDhmsH3zn9NF2pBhMpF88oTvcsE4ZLDN3heNlmf/PLW8cDKWB3N69Q7ftEEIITwgy5q97Np6oXbBysiUo+w6l49esa4aahii52iOdRjIVc+KPy//dJYl9no/3XvIMVh54NhxdufmOH0OCvBybBz9IyLI1zSePHmCH7wQPLhKt1+abLuevh/yTCaumnlr0Qy2jpluf/rDpz0r/vy+FqKsZFmz59xd1iwBixflH97N3yPvLBKslFZl/MPubxsmugpWiqPDu0GLt/YG8uT9kGcyMWBpMumWnys8g21lfF8LURIJWDwneVjKWf7h3RwbM8rjYKWy8qcNE8sSrACYgWfSTvK1wUCAh8ND/rCRoT8FK0II4SnpYXFQlkjXcc6Kp8FKZf4mWtE9LYWDFaVGDeLffouQtm1LVYdmMpH2739zfs3aMvW0+EOw4u1dl6vKt8iq0ktTmf9GCO/zh98NT9ogPSzlxNvBSmVXkT0tjj0rZQlWABS9nthp0wjv17fUPS1VMVgRQgh/IAGLGxrQgH3sw4QJM2ZMmNjHPnpHJEiw4kRFBC3OhoHKEqwUKAhaSjM8JMGKEEL4jr+tQvU7m9nM9VyPgoKGZvv/VVzFN9n7OHnqabLrri85WFEgtEUo+kg9piwTFw5eKJqapQRmi5lfT+3idM5pokKiuKZuO3RqKdK4e6EN7tZRELTMi6tPn/AIiIP/O3kSiwJdmtcmukYAGRfz+enQGSylbIPqUMfOw2eZH+f+nBV3r6Oi1/NM2kkA+kdE8FpcfdvwkGMb/nfoDLNiSxGseOO1cFzls/UAV0zuIcGKEKJKkjksDgqP4xUEKwCKkw0MtUsLUX8NXMu1ef1d1hnRPoKYkTEE1r5cd96ZPNI/Tsew01CkvLOxwPXHvmfmzlfIuJhpOxZdox5Pt/8/bozv5fI5lLUN3ngeYD+n5TfVSFxIIFEXLl/L06Eas8xnWbUn0+n5jga2qcd4XS27OvJUjUCLUiRY8fQ6gvVaOq4e+iQwm/6BYXZtMOo0gsyKW8GKN16LqAHXUu8WPWrQ5bk1mjngUlI47wcrlX2M3Ftt8Bcyh0UU5g+/GzKHpQI1oEGxwYr1uAooXJPXjwY0cFomon0E8Y/FE1DLPh16QM0A4h+LJ6J9ycHV+mPfM37L03YfsgCZF08xfsvTrD/2fbHne6MNZa2joKclH42rLUHUuWB/LWtfUJieW5uBbeqV2IaBbeoxPbd2kToCLQoa8GFwdrE9K2W9jo6rh0blhxdpQ5DZ2ob/Bl0oMVjx9LWIGnAt0UNyUQLtJwIXZLDN3ldXelaEEFWOBCwurGUtyqX/ilNQZg1rnN1JzMgY6z8V+3oUVQENYu6MobiHMFvMzNz5CpqT8YKCYzN3zsJscbFhnhfa4GkdP168wMUg64iHYxEV6/GndLVQi2mDqsB4Xa2C5jh1e0CEyzo8vY5m4N/pJzHqNJRi2nBrYJjr5+GN10JVqXeL/lIdzouENr8IqvxqCyGqFpnD4kIiibY5KyXR0EgISSBmcIzd8YBaAXbd/o4UVSGwTiDxj8STf/by/JeZO1+x/TvjYkaRHgHHx864mMHTP00gukY0cOlDz8M2eON5FGivBRH5q+vrqAJ1Lyi82aUpmYrzgKGepiPqlOs6lEt19BvRkJ2KEfD8OoL9tWyvBRFUzPNw1obCvPFaBMVF2Q0DFalDASXoPDW7tOTcln0uywkhRGUjAYsL7vSuFC4LENU7qkyPFZkUaXf744NLSl3H+mM/2P5dlnY4tqEsXNXR4HcL/Fpyyveup/R4+pZs0CCUo1eFA55fR7C/lu4+j8JtKAtvvBYBdUM9rkMIIfyJBCwuaJf+c7eHRdEUMlfbf4MPqBNArc61Sjz/7M9nyf/n8jfqfz/zjO3fJy+k8U2Kk+EmBzc36kdcaCwA015+2eM2FOZpHam6YKBGieevr5dHmua8hyVW0XFjZsmTwlKPZpP5dy7g+XUE+2vp7vMo3IbCvPFaBMfXI6JtiVWQf+pCyYWEEKISkVVCDgpmSu9jH1dxldvn7WMfrWltf1CB5rObE1AzwDpHwYFm0cg/m8+h8YfslrQWnm1ttpjpt6o/mRdPOZ1/oaBQr0Y91gz8yrY01262dxnb4I3nUUBVYGO7FtS+oDidNGUB/gnV6LHroMslzmWpw9PrCPbX0uPn4Y3XQqen5ZvXoQQYnM5h0TTrrst//GubVzcyrOyrELzVBn8hq4REYf7wuyGrhCpQX/raelmKU1CmH/2c3Un6x+mgWD+M7O6yaKBA+ifpxebf0Kk6nm7/f0DR1UoFt59uP951PhYvtMHTOiwazDKfRYEiOxJbsM79mG0+W2w+Fk/r8Pg6euN5ePpaKCp1+j6BMXOg9RyHcgW3M7/K9+muy0IIUREkYHHhOMfZwhYAl0FLwfEf1W0c57jTMoadBo7NP0a+Q1K5/LP5HJt/zK28GzfG92JW15nUq1HX7ni9GvWY1XWm0/wh3m6Dp3Ws2pPJxOAznAm1v5b/hGpMDD7jVh4WT+vw9Dp6ow1lvo6KSp2bkwlr1ZP8rCv5Z0MTtDz7zLtaXjgZy4M5vXpHic9DCCEqGxkScuDYLeYq023B/7fXP8OQgavJWDIR07l01xWXIrOpq641dzO0uuzaK8dMt644Zoj1RqZbV3V4eh3B9bX0+HmU5joWClY0i5nTK2dw8dDPRTPd/vSHz3pWKnuXs7fa4C9kSEgU5g+/G+UxJCQBiwNnL1oDGrCGNVzJlbZAZT/76R80gvy7HiUwKgGT4VTJQYub5I+Rd/jDL7HHXAUr5cwfrqU/tMFfyN8IUZg//G7IHBY/cZzjtKY1evTo0KFHT2tak2r8nYxP/03e6VT0EXWJvmM6+poxJVcohDv8JFgRQgh/ID0sXnDqvJGRH+zgz1MXiI0I4pP7kmhYu+Tlr0K4YrZoPL18Hyv2pKFTFeYNu5p+V0WXfKIQQlQy0sNSjuqGB/HxPdfStG4oaQYjd763naNnitmpV4hiSLAihBBFScDiJRK0CG+QYEUIIZyTgMWLJGgRnpBgRQghXJM5LD7gbE5Lg5ohbD96lszzRuqFB5HUsBa64rYndsJs0Tyqw9PzpQ2+a8M18TWZ+OXvEqwIIaqdCl/W/MYbb/DKK6+QlpbGVVddxZw5c+jatavL8ps2bWLcuHH8/vvvxMXF8fTTT/Pwww+7/Xj+FLCAfdBSM0RPgE7lVPblZV8xEUE8d3Mifd38UFr7ewb/+eYA6YbLuwCXpg5Pz5c2+LYNwQEqufkWCVaEENVOhU66/eyzz0hOTmbSpEns2rWLrl270q9fP1JTU52WP3LkCDfffDNdu3Zl165d/Pvf/+aJJ55g2bJlvmheuSgYHoqJCOJcjskuWAHIMBh59NM9rP09o8S61v6ewaOf7rH7gCtNHZ6eL23wfRty860J3+7tlCDBihBCOOGTHpYOHTpwzTXX8Oabb9qOXXnllQwaNIjp06cXKT9hwgRWrVrF/v37bccefvhh9uzZw9atW916TH/rYQFrt3+XWZvIPO88oY4CREcEsf6JLi6HE8wWjRvn/VTkA87dOjw9X9pQfm0AiI0MYvO4G0o9RCWEEJVVhQ0J5eXlUaNGDb744gsGDx5sOz527Fh2797Npk2bipxzww030K5dO+bOnWs7tmLFCoYNG8bFixcJCAgoco7RaMRovPyH32AwEB8f71cByy9HznDn+7KviyidT+69lo6Na1d0M4QQolxU2JDQ6dOnMZvNREfbd2tHR0eTnu48bX16errT8iaTidOnTzs9Z/r06URGRtp+4uPjvfMEvCjzvOtv0kK4Iu8bIYQoSu+rihXFvktb07Qix0oq7+x4gYkTJzJu3Djb7YIeFn9SLzzIrXLv3tWOpIa1nN63/ehZ7l+8q8x1eHq+tKH82+Du+0YIIaoTrwcsUVFR6HS6Ir0pmZmZRXpRCsTExDgtr9frqVOnjtNzgoKCCAry7z/sSQ1rERMRRIbB6HQjXgWIiQyiW7Mol3MWujWL8qgOT8+XNpR/G1wFTEIIUZ15fUgoMDCQ9u3bs27dOrvj69ato3Pnzk7P6dSpU5Hy3333Hddee63T+SuVhU5VeO7mRMD6YVRYwe1n+yUWO8HS0zqkDVWrDUIIUV35ZFnzuHHjePfdd3n//ffZv38/Tz75JKmpqba8KhMnTmTUqFG28g8//DBHjx5l3Lhx7N+/n/fff5/33nuP8ePH+6J55arvVdEsGNGG6Aj73qCYyCAWjGjjVt4OT+uQNlStNgghRHXk08RxM2fOJC0tjVatWvHaa69xww03ADBmzBhSUlLYuHGjrfymTZt48sknbYnjJkyYUKkTxznyx+yq0obK3QYhhKgKKjzTbXnz94BFCCGEEEW5G7D4bJVQeSuIuwznz1dwS4QQQgjhroLP7ZL6T6pMwHL+0hNu2LhxBbdECCGEEKV1/vx5IiMjXd5fZYaELBYLJ0+eJDw83GnuloI8LceOHZMhIw/JtfQOuY7eI9fSe+RaeodcR/dpmsb58+eJi4tDVV2vBaoyPSyqqtKgQYMSy0VERMibx0vkWnqHXEfvkWvpPXItvUOuo3uK61kp4JNlzUIIIYQQ3iQBixBCCCH8XrUJWIKCgnj++ef9Pp1/ZSDX0jvkOnqPXEvvkWvpHXIdva/KTLoVQgghRNVVbXpYhBBCCFF5ScAihBBCCL8nAYsQQggh/J4ELEIIIYTwe9UiYHnjjTdo3LgxwcHBtG/fni1btlR0kyqdKVOmoCiK3U9MTExFN6tS2Lx5MwMGDCAuLg5FUfjyyy/t7tc0jSlTphAXF0dISAjdu3fn999/r5jG+rmSruWYMWOKvE87duxYMY31Y9OnTycpKYnw8HDq1avHoEGDOHjwoF0ZeV+WzJ3rKO9J76nyActnn31GcnIykyZNYteuXXTt2pV+/fqRmppa0U2rdK666irS0tJsP3v37q3oJlUKFy5coE2bNsyfP9/p/TNnzuTVV19l/vz5bN++nZiYGG666Sbb/ljispKuJUDfvn3t3qfffPNNObawcti0aROPPvoov/zyC+vWrcNkMtG7d28uXLhgKyPvy5K5cx1B3pNeo1Vx1113nfbwww/bHUtMTNSeeeaZCmpR5fT8889rbdq0qehmVHqAtmLFCttti8WixcTEaC+//LLtWG5urhYZGam99dZbFdDCysPxWmqapo0ePVq79dZbK6Q9lVlmZqYGaJs2bdI0Td6XZeV4HTVN3pPeVKV7WPLy8ti5cye9e/e2O967d29+/vnnCmpV5XX48GHi4uJo3LgxI0aM4O+//67oJlV6R44cIT093e49GhQURLdu3eQ9WkYbN26kXr16NG/enAceeIDMzMyKbpLfy8rKAqB27dqAvC/LyvE6FpD3pHdU6YDl9OnTmM1moqOj7Y5HR0eTnp5eQa2qnDp06MBHH33Et99+yzvvvEN6ejqdO3fmn3/+qeimVWoF70N5j3pHv379+Pjjj/nhhx+YPXs227dvp2fPnhiNxopumt/SNI1x48Zx/fXX06pVK0Del2Xh7DqCvCe9qcrs1lwcRVHsbmuaVuSYKF6/fv1s/27dujWdOnWiSZMmfPjhh4wbN64CW1Y1yHvUO4YPH277d6tWrbj22mtp2LAhX3/9NUOGDKnAlvmvxx57jN9++40ff/yxyH3yvnSfq+so70nvqdI9LFFRUeh0uiLfCDIzM4t8cxClExoaSuvWrTl8+HBFN6VSK1hpJe9R34iNjaVhw4byPnXh8ccfZ9WqVWzYsIEGDRrYjsv7snRcXUdn5D1ZdlU6YAkMDKR9+/asW7fO7vi6devo3LlzBbWqajAajezfv5/Y2NiKbkql1rhxY2JiYuzeo3l5eWzatEneo17wzz//cOzYMXmfOtA0jccee4zly5fzww8/0LhxY7v75X3pnpKuozPyniy7Kj8kNG7cOO6++26uvfZaOnXqxMKFC0lNTeXhhx+u6KZVKuPHj2fAgAEkJCSQmZnJiy++iMFgYPTo0RXdNL+XnZ3Nn3/+abt95MgRdu/eTe3atUlISCA5OZlp06bRrFkzmjVrxrRp06hRowZ33nlnBbbaPxV3LWvXrs2UKVMYOnQosbGxpKSk8O9//5uoqCgGDx5cga32P48++iiffPIJK1euJDw83NaTEhkZSUhICIqiyPvSDSVdx+zsbHlPelMFrlAqNwsWLNAaNmyoBQYGatdcc43dkjPhnuHDh2uxsbFaQECAFhcXpw0ZMkT7/fffK7pZlcKGDRs0oMjP6NGjNU2zLiF9/vnntZiYGC0oKEi74YYbtL1791Zso/1Ucdfy4sWLWu/evbW6detqAQEBWkJCgjZ69GgtNTW1opvtd5xdQ0D74IMPbGXkfVmykq6jvCe9S9E0TSvPAEkIIYQQorSq9BwWIYQQQlQNErAIIYQQwu9JwCKEEEIIvycBixBCCCH8ngQsQgghhPB7ErAIIYQQwu9JwCKEEEIIvycBixBCCCH8ngQsQgghhPB7ErAIIYQQwu9JwCKEEEIIvycBixBCCCH83v8D2viwYiF3ZhIAAAAASUVORK5CYII=", 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", 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" ] diff --git a/python/pathfinding_demo.py b/python/pathfinding_demo.py index d58ed1b..8827cef 100644 --- a/python/pathfinding_demo.py +++ b/python/pathfinding_demo.py @@ -56,7 +56,8 @@ class Map: x_center, y_center = center_point for x in range(-1,2): for y in range(-1,2): - if x == 0 and y == 0: + diagonal = x == y # includes center 0,0 + if diagonal: continue p = Point2D((x + x_center, y + y_center)) if self.IsPointValid(p): @@ -304,10 +305,6 @@ class GBFS(PathFinderBase): @staticmethod def heuristic(a: Point2D, b: Point2D) -> float: - # for now we use Manhattan distance, although - # it is probably not entirely correct, given that - # we can also move diagonally in the grid - # TODO a problem for future me x_a, y_a = a x_b, y_b = b return abs(x_a - x_b) + abs(y_a - y_b) @@ -348,10 +345,6 @@ class A_star(PathFinderBase): @staticmethod def heuristic(a: Point2D, b: Point2D) -> float: - # for now we use Manhattan distance, although - # it is probably not entirely correct, given that - # we can also move diagonally in the grid - # TODO a problem for future me x_a, y_a = a x_b, y_b = b return abs(x_a - x_b) + abs(y_a - y_b)