Created
October 28, 2020 13:20
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CS166 Random Walks
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Random Walks" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import random\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"import scipy.stats as sts\n", | |
"import warnings\n", | |
"warnings.filterwarnings('ignore')\n", | |
"%matplotlib inline\n", | |
"\n", | |
"class RandomWalk:\n", | |
" \n", | |
" def __init__(self, prob_right = 0.5, n_steps = 30):\n", | |
" self.prob_right = prob_right\n", | |
" self.n_steps = n_steps\n", | |
" self.position = 0\n", | |
" self.path = []\n", | |
" \n", | |
" def run_barrier(self):\n", | |
" for i in range(self.n_steps):\n", | |
" if self.position == -4:\n", | |
" self.position = -3\n", | |
" elif random.uniform(0,1) < self.prob_right:\n", | |
" self.position += 1\n", | |
" else: self.position -= 1\n", | |
" self.path.append(self.position)\n", | |
" return self.position\n", | |
" \n", | |
" def run_partial_block(self, positions):\n", | |
" for i in range(self.n_steps):\n", | |
" if self.position in positions:\n", | |
" if random.uniform(0,1) < 0.25:\n", | |
" self.position += 1\n", | |
" else:\n", | |
" self.position -= 1\n", | |
" elif random.uniform(0,1) < self.prob_right:\n", | |
" self.position += 1\n", | |
" else: self.position -= 1\n", | |
" self.path.append(self.position)\n", | |
" return self.position" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"0\n" | |
] | |
}, | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"reflected_walk = RandomWalk(prob_right = 0.5)\n", | |
"reflected_walk.run_barrier()\n", | |
"\n", | |
"print(reflected_walk.position)\n", | |
"plt.plot(list(range(0, 30)), reflected_walk.path)\n", | |
"plt.ylabel('Position')\n", | |
"plt.xlabel('Step')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"n_trials = 200 \n", | |
"end_pos = [RandomWalk(prob_right = 0.5).run_barrier() for _ in range(n_trials)]\n", | |
"plt.hist(end_pos, bins = 50, density = True)\n", | |
"plt.xlabel('Final position')\n", | |
"plt.ylabel('Count')\n", | |
"plt.xlim([-25, 25])\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"-2\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"block_walk = RandomWalk(prob_right = 0.5)\n", | |
"block_walk.run_partial_block(positions = [6, 7])\n", | |
"\n", | |
"print(block_walk.position)\n", | |
"plt.plot(list(range(0, 30)), block_walk.path)\n", | |
"plt.ylabel('Position')\n", | |
"plt.xlabel('Step')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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sAl4LbAN+DLyz634SsCHJvjFeX1Vf6WuskqQD9XkNgqraxCAEhsvWDr0u4PJGv+3AWX2OTdKhW7zmxmds77j6whkaifrkk9SSpCYDQpLUZEBIkpoMCElSU68XqTV3eRFTeu5zBiFJajIgJElNBoQkqcmAkCQ1GRCSpCYDQpLUZEBIkpoMCElSkwEhSWoyICRJTS61Mce4BIZmwvDfnX9zzx3OICRJTQaEJKnJgJAkNRkQkqQmL1JrQl7Q1mwwlQvc/s1OL2cQkqSmXgMiyfIkW5NsS7KmUZ8kH+nq705yzqh9JUn96i0gkswDrgFWAEuBi5MsHddsBbCk+1kNfHwKfSVJPepzBrEM2FZV26vqSeAGYOW4NiuB62rgDuBFSU4Zsa8kqUd9BsSpwIND2zu7slHajNJXktSjVFU/O07eDLymqi7ttt8GLKuqfzrU5kbgd6rq6932rcC/An5usr5D+1jN4PQUwN8AtvbygUZ3ArBnhscwW3gs9vNY7Oex2G82HIuXVNWCVkWft7nuBE4b2l4I7BqxzTEj9AWgqtYB657tYKdLki1VNTbT45gNPBb7eSz281jsN9uPRZ+nmDYDS5KcnuQYYBWwcVybjcAl3d1MrwB+WFUPjdhXktSj3mYQVbU3yRXATcA8YH1V3Zfksq5+LbAJeC2wDfgx8M6D9e1rrJKkA/X6JHVVbWIQAsNla4deF3D5qH2fI2bN6a5ZwGOxn8diP4/FfrP6WPR2kVqS9NzmUhuSpCYDYpok+Q9JHuiWDNmQ5EVDdb/RLRmyNclrZnCYh0WSNye5L8nTScbG1c21YzGnl4xJsj7Jw0nuHSp7cZJbkny3+/1XZ3KMh0OS05L8cZJvd//f+Gdd+aw+FgbE9LkF+MWqOhP4DvAbAN0SIauAvwksBz7WLSVyJLsX+EfAbcOFc+1YuGQMAJ9k8L/1sDXArVW1BLi12z7S7QX+ZVX9AvAK4PLub2FWHwsDYppU1c1VtbfbvIPBsxswWCLkhqp6oqq+x+COrWUzMcbDpaq+XVWtBxbn2rGY80vGVNVtwPfHFa8EPtW9/hTw+sM5pplQVQ9V1f/uXj8GfJvB6hCz+lgYEP14F/Dl7rXLhuw3147FXPu8ozqpe96J7veJMzyewyrJYuBlwJ8yy4+FXxg0BUm+CpzcqHp/Vf23rs37GUwnP7OvW6P9c/7WsVGORatbo+w5fywOYq59Xk0iyQuBLwBXVtWjSetPZPYwIKagqv7BweqTvB34FeDv1/77h0dZcuQ5Z7JjMYEj8lgcxFz7vKP68ySnVNVD3erND8/0gA6HJEczCIfPVNUXu+JZfSw8xTRNkiwH/jXwuqr68VDVRmBVkuclOZ3Bd198cybGOAvMtWPhkjFtG4G3d6/fDkw04zxiZDBV+E/At6vqw0NVs/pY+KDcNEmyDXge8EhXdEdVXdbVvZ/BdYm9DKaWX27v5ciQ5A3AfwQWAH8B3FVVr+nq5tqxeC3we+xfMubfzeyIDq8knwVexWDV0j8H/i3wJeAPgUXA/wHeXFXjL2QfUZKcB/xP4B7g6a74fQyuQ8zaY2FASJKaPMUkSWoyICRJTQaEJKnJgJAkNRkQkqQmA0JzQpKfJLlr6Gdxktufxf4+meRN0znGoX3/tSSf716f3d0qu6/udXNxVVjNDG9z1ZyQ5EdV9cJp3N8ngf9eVZ+frn1O8D7vAMaq6oo+30dqcQahOSvJj7rfr0rytSSf777T4zPdk68kuSrJ5iT3Jlm3r/wg+/xakt9LcnvXZ1lX/uIkX+q+L+SOJGd25a8cmtV8K8mx3ezm3u7p698CLurqL0ryjiQf7fq+JMmt3T5vTbKoK/9kko90Y9je10xHRz4DQnPFC4b+Id7QqH8ZcCWD7234OeDcrvyjVfVLVfWLwAsYrLU1mflV9beBdwPru7LfBL7VfV/I+4DruvL3ApdX1dnA3wEe37eTbonwq4DPVdXZVfW5ce/zUeC6bp+fAT4yVHcKcF433qtHGLN0AANCc8Xj3T+yZ1fVGxr136yqnVX1NHAXsLgrPz/Jnya5B/h7DL7saDKfhZ9+F8JxGXy74HnAp7vy/wEcn+SvAP8L+HCS9wAvGvpOkVH8MnB99/rT3Xvs86Wqerqq7gdOmsI+pZ8yIKSBJ4Ze/wQ4KsnzgY8Bb6qqvwV8Anj+CPsaf2GvmGDp76q6GriUwezkjiRnTHnk7fcd/jyze01pzVoGhDSxfWGwp1vHf9Rz+RfBTxdo+2FV/ZDB16++pSt/FbCn+z6Al1bVPVX1IWALMD4gHgOOneB9bmewQizdvr8+4vikkfh9ENIEquovknyCwQqcOxgs3z2KH3S30B7HYOVagA8A/znJ3cCP2b/E85VJzmcwa7mfwTcRnjK0rz8G1iS5C/idce/zHmB9kl8HdgPvHPnDSSPwNldpGiX5GvDeqtoy02ORni1PMUmSmpxBSJKanEFIkpoMCElSkwEhSWoyICRJTQaEJKnJgJAkNf1/VwMVz1W2CLIAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"end_pos_block = [RandomWalk(prob_right = 0.5).run_partial_block(positions = [6, 7]) for _ in range(n_trials)]\n", | |
"plt.hist(end_pos_block, bins = 50, density = True)\n", | |
"plt.xlabel('Final position')\n", | |
"plt.ylabel('Density')\n", | |
"plt.xlim([-25, 25])\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"from numpy import cos, sin, radians\n", | |
"\n", | |
"class BrownianMotion:\n", | |
" def __init__(self, n_steps = 5000):\n", | |
" self.n_steps = n_steps\n", | |
" self.x = 0\n", | |
" self.y = 0\n", | |
" \n", | |
" def run(self, variance = 1):\n", | |
" xs = []\n", | |
" ys = []\n", | |
"\n", | |
" for step in range(self.n_steps):\n", | |
" angle = radians(np.random.random()*360)\n", | |
" step_size = (np.random.normal(loc = 0, scale = variance))**0.5\n", | |
" self.x += step_size*cos(angle)\n", | |
" self.y += step_size*sin(angle)\n", | |
" xs.append(self.x)\n", | |
" ys.append(self.y) \n", | |
" return xs, ys, xs[-1], ys[-1]\n", | |
" \n", | |
"brown = BrownianMotion()\n", | |
"xs, ys, final_x, final_y = brown.run()\n", | |
"plt.plot(xs,ys)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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kHijikrGJ/P7swa0+AexpbZH0G/oYNvXurwT6GGOKRGQW8C7Qv8GNiVwHXAfQu3fvNghPKdUaxhjyiyvqyjDuI1F3HiyhovpoOaaLXY4ZlxxVV2NPiXWRFO3C1QFKH40pr6rmic+38u8vs4gND+ala8YybWCc02GdkLb4L+QAiW73E7Ba83WMMUfcbn8kIk+JSIwxJq/+xowxzwLPAqSmptb/8FBKtZOSiqq6VnptjX1bXjHbc4s4UlZVt16gv9An2kropw6Os0oxdp/2aFeQ15VjWmvd7gJuf2s1m/cXMndMAveeM4SuoR2rde+uLZL+CqC/iCQDu4FLgMvcVxCRHsB+Y4wRkXFYUzofbIN9K6WOQ1V1DbsPlx4zSKm2JLO3oOyYdXt1DSE51sV5J/UiJSbcnmLARXxkxynHtEZFVQ3/WpLJk0syiXYF8Z+rUjltcHenw2q1Vid9Y0yViPwK+BSry+YLxpj1InKDvfzfwFzgRhGpAkqBS4wx2opXqh0YY8grqmig22MRu/JLqKw+euhFhASQEhvOxBR7egG7T3tSTJjX9jP3hA17jnD7vNVs3HuEC0bFc9+5Q4gMC3I6rDYh3px7U1NTTXp6utNhKOWVisurjpkQzH0kamH50XJMkL8fSTFhR6cWsOvsyTEuojphOaY1KqtreHrpNp74fCuRYUH85YJhnD60h9NhHRcRyTDGpDa23Hc/ypXqACqra8g5VPqjPu1ZeUXsP1J+zLrxkaGkxLq4YHR8Xas9JcZFr8hQ/P00sTdn875Cbp/3A+t2H+G8kb3443lD6ebqHK17d5r0lfJSd85fzVvpOcc81jU0kJRYF6f0i61rrdf2jnF6yt6Oqqq6hmfSsnh88Va6hATw9OWjOWt4T6fDajea9JXyUlMHxNUlfRF4ZO5ILhwdr+WYVqioquFQSQX5xdZPXlE5L3y1ndU5Bcwa3oM/zx5GdHiw02G2K63pK+XFSiuqeSs9m2fTsth9uJRBPbpw47S+nD28p0/0oGmKMYbiimryiyo4WFzOoZIKDhZVWL+LK8h3v23/FLp1Pa3VLSyQP58/jHNG9HLgWbS95mr6mvSV6gAqq2t474c9PL00k225xfSJDuP6KX2ZMyae4IDOUdaprjEcKqngUPGxibrRn5KKY+bpcRfk70eUK4huriCi3X5H1bsd5QoioVtop+qppElfqU6kpsawaMN+nlqayZqcArpHBPOLU1K4bHxvrxvxWlZZXdfizi+pIL+4vK4l7p68DxZbif5waSWNpaMuwQFEhduJOuxowq7/E+0KppsrkPDgAJ8tg2nSV6oTMsbwdeZBnlqayfJtB+kaGshVk5K4ZlJSu/Q4qakxHCmr/FGirm2R196uLbHkF1cccy1Zd/5+QrewIKJcgfWSdjBRYYFEhQdbrfOwIKLDrd/Hc+UqX6dJX6lObtWuQzy1dBufbdhPWJA/l47rzbWTU+jRNaTRv6k9oXlsDbyc/JJK8ovL65VSKjlUUkF1TcO5IjTQ32pl2wm6tpwS1UBpJcoVRERIIH7ahbTdaNJXqpMzxlBUXsV3Wfn85aONZOUV1y07Y2h3IkICj7bOS6xyi/vgLXciEBka+KNEHeXW8rZa5EFWuSUsyKuu/6p0cJZSHU5VdQ2HSysbrHv/uLRSzqHiymNmunT36fr9dbdP6RdD76iwRmrhVos8MjTQ53sFdXaa9JVqZ6UV1VaXwuLKY7oW5tergefbJzgLmjqhGRJQl6jjI0MY1iuirsV9bIklmGpjeHNFNq9+u5Oi8ioC/IWfTujDuOQoz74AyqtoeUep41B7QrNFXQqLW3ZC02plBxLtCm60m2FteeVETmgWlFby32928MLXO8gvrmBsUjdumtaPaQNjfbaHS2emNX2lmlBRVVOvjFJeV0apbXm7dzM8VFLZ6AnNsCB/t7r30dZ3Q/XxaFcwXUICPHpCs7SimjdX7OLZtCz2FJQxuGdE3UAvnZun89Ckr3xG7QnNJrsU1nusuROaP+pS6Ao85rd7i7yjzH1TUVXDez/s5t9fbmNbbjFJ0WFcP7UvF47uPAO9fJkmfdVhVVXXcKik8sd17yLrBObR7oWVzZ7QrB2h6V73rt+l0L1FHhkW1Olbv9ZAr308uWQba3dbA72unZzCpeO8b6CXajlN+spr1J7QbKz27d5DJb+kgsMllY1uq0tIQKPD6xvqWugK8tf6dSOMMXyVmcdTS7bxTdZBIsMCuXpSEldPSuo0Fw7xJZr0VbuoqTEUlFY2WPc+ZsCPW6+VssqGW+HuJzQbG17v3rUwUkdotpuVuw7x1JJtLN5oDfS6bFxvftHMQC/lXTTpqxYpr6o+2qXQ/p1f3PjkV4dKKmjkfCZhQf4/Tth2i7v+8PpoVzARob47T4q32ryvkKeXZvL+mr34izBnTDzXT+lLUozL6dBUMzTp+7Cq6hrW7i6w6uElTZdTilpwQrN2Mqv6JzDr907pKCc0VfN2HSzhmbRtzMvIoaq6hlnDe3LTtH4M6RXhdGiqEZr0fZQxhuv+m8FnG/Yf83hQgF+9uvfR+VLcB/nU/vjCCU3VvANHyvjP19v537e7KCqvYvrAWG6a3o+xSTrQy9to0vdR76zK4bY3V3PjtL6cMbRHXYtcT2iq1igoqeSVb3bw4nJroNe4pChunN6XaQN0oJe30KTvgw4UljHz0TT6xrqYd8MkbamrNldSUcWbK6wreu0tKGNIzwhumt6Xs4bpQC+nNZf0tQtEJ2OM4d5311FaWc1Dc0fqAajaRVhQANecnMyXd0znobkjKKuq5levrWLGo1/y5opdjV7RSjlPk34n8+HavXy6fj+3zRhAv7hwp8NRnVxQgB8Xpyby2W1Teery0biC/blrwVqmPLSE55dlUdxIBwHlHC3vdCIHi8qZ+Vgaid1CWXDjJJ0iV3mcMYZlW/N4ckkm323PJzIskGsmJXPVpD460MtDdD59H3LfwvUUllXy0NwJmvCVI0SEKQNimTIgloydh3h6aSaPLd7Cs2nbuGy8NdCre4QO9HKSJv1O4pN1+/hgzV5unzmAgT26OB2OUozp043nrxrLpn1HeHrpNv7z1XZeXr6TOWMSuGFqCn2idaCXE7S80wkcLqlgxqNpxHUJ5r1fnUygtvKVF9p5sJhn0rKYn55DVU0N54zoxY3T+jK4pw70akvae8cH/On9DRwuqeDhi0Zowldeq0+0i79cMJyv7prOtZNT+Hzjfs56fBk/e2kFGTvznQ7PZ2iG6OC+2LSft1ft5qZpfRnaq6vT4SjVrLiIEO6ZNZjld5/Gb2YOYNWuQ8x5+hsufuYblm4+gDdXHzoDLe90YEfKKjn90TQiQgN4/9en6AUwVIdUUlHF699n81xaFvuOlDG0VwQ3TevHmcN66DiTE6DlnU7sgQ82cqCwjIfnjtSErzqssKAAfn5KMml3TuehOSMorajml6+tZOajX/LWimwd6NXG2iTpi8iZIrJZRDJF5O4GlouIPGEvXyMio9tiv74sbUsub6Znc92UvoxMjHQ6HKVaLSjAj4vHJvLZb6by5GWjCQ3y584Fa5j68BL+89V2Sip0oFdbaHV5R0T8gS3ATCAHWAFcaozZ4LbOLODXwCxgPPC4MWZ8c9vW8k7DisqrOOOxNIID/fjo5sk6lbHqlIwxpNkDvb7fnk+3sECuOTmZqyYm0TUs0OnwvJYnBmeNAzKNMVn2Dt8AZgMb3NaZDbxirE+Yb0UkUkR6GmP2tsH+fc6DH29kT0Ep82+YqAlfdVoiwtQBsUwdEEvGznyeWrKNRz/bwjNfbuOnE/rw81OSidOBXsetLco78UC22/0c+7HjXQcAEblORNJFJD03N7cNwutclm/L49Vvd/Gzk5MZ00fnMle+YUyfKP5z9Vg+vmUypw3uznPLsjjloSX87p217DpY4nR4HUpbJP2GTq/Xrxm1ZB3rQWOeNcakGmNSY2NjWx1cZ1JSUcXdC9bSJzqM354+0OlwlPK4wT0jeOLSUXxx+zTmjE5gfnoO0x5Zwi1vrGLTviNOh9chtEXSzwES3e4nAHtOYB3VjIc/3cyu/BL+NmcEoUFa1lG+KynGxV8vHM6yu6bzi8kpfLZhP2f+Yxk/f2kFGTsPOR2eV2uLpL8C6C8iySISBFwCLKy3zkLgSrsXzwSgQOv5xyd9Rz4vLd/BlRP7MCEl2ulwlPIK3SNC+N2swSy/+1RumzGAjF2HmPP0cn7yzDd8uSVXB3o1oE0GZ9m9c/4B+AMvGGMeEJEbAIwx/xbrOmr/As4ESoBrjDHNdsvR3juWsspqZj2+jPKqGhbdNgVXsM6Tp1RDisureP37XTy/bDv7jpQxLN4a6HXGUN8Z6KWXS+wE/vrRRp5Jy+LVn4/nlP4xToejlNcrr6rm3VW7eXrpNnYcLCEl1sUNU/ty/knxBAV07jGpOiK3g1u16xDPLcvi0nGJmvCVaqHgAH9+MrY3n98+jX9dNoqQAH/unL+GaQ8v4QUfH+ilLX0vVl5VzTlPfEVReRWf3jaFiBAdkKLUiTDGsHRLLk8v2cb3O/KJcgVxzaQkruyEA730ylkd2D8/z2TrgSJevGasJnylWkFEmD4wjukD40jfkc9TS7fx98+28ExaFpdP6G0N9OriGwO9NOl7qXW7C3j6y23MGZ3A9IFxToejVKeRmhTFC1dHsWHPEZ7+chvPpWXx4tc7uGhMAtdP6Uvv6DCnQ2xXWt7xQhVVNZz3r684WFzB4tumdrqvn0p5kx15xTyTto0FGbupNoZzR/Tkxmn9OuxlR/VEbgf09NJtbNpXyAPnD9OEr1Q7swZ6jSDtzulcMymJRRv2c8Y/0vjFy+ms3NX5BnppS9/LbNp3hHP/+RVnDevJE5eOcjocpXzOoeIKXv5mBy9+vYOC0kompERx07R+TO4fgzXkyLtpP/0OpKq6hgueWs7eglIW3TaVKFeQ0yEp5bNqB3o9tyyL/UfKGR7flZum9eWMoT3w8+KBXlre6UCeXZbF2t0F/Gn2ME34SjnMFRzALyankHbndB68cDiFZZXc+L+VzHzsS+alZ1NZ3TGv6KVJ30tkHijkH59t5axhPZg1vKfT4SilbMEB/lwyzhro9c9LRxEU4M8d89cw9aElvPT1dkorqp0O8bhoeccLVNcY5v57OTvyill021RiuwQ7HZJSqhHGGJZuzuWppZms2HGIaFcQ15ycxBUTk+ga6nzHCx2c1QG88NV2Vu06zOOXnKQJXykvJyJMHxTH9EFxfL89n6eWZvLIoi38+8usuit6efNxrEnfYdvzinlk0WZmDI7jvJG9nA5HKXUcxiVHMS55XN1gymfStvHC19u5ONUa6JUY5X0DvTTpO6imxnDX/DUEB/jxwAXDO0R3MKXUjw2L78qTl41me14xz3y5jTdXZPP699mcN7IXN07ry4Du3jPQS0/kOuiVb3bw/Y587j1nCN31As9KdXjJMS4enGMN9Lp6UhKfrNvH6Y+lce0r6azykoFeeiLXIdn5JZz+WBpjk6N4+Zqx2spXqhM6VFzBS8t38NJya6DXpL7R3DStHyf3i263Y14HZ3khYwyXP/8da3IKWHTbFHpFhjodklKqHRWVV/H6d9ZArwOF5YxI6MpN0/px+pDubT7QSwdneaHXvt/F8m0H+d2swZrwlfIB4cEBXDslhWV3TecvFwynoLSSG17N4PR/pDE/I8ejA720pe9huw+XcsZjaYxM7MqrPx+vZR2lfFBVdQ0frdvHU0sy2bSvkPjIUK6bksLFqYmEBvm3atva0vcixhjueXstNcbw4IUjNOEr5aMC/P04b2QvPr5lMi9cnUrPriHct3A9p/ztC55ckklBaWW77VuTvgfNy8ghbUsud505yCv77yqlPEtEOHVQd+bfOIm3rp/IsPiuPPzpZk77+1LKKttnegftp+8h+4+U8ecPNjAuKYorJvRxOhyllJdxH+i1fk8BIYGtK/M0RpO+Bxhj+P07a6moquFvc0d49bSsSilnDYvvyrD4ru22fS3veMB7P+xh8cYD3HHGQJJjXE6Ho5TyYZr029mBwjLuf389o3pHcs3JyU6Ho5TycZr029l9762npKKah+eOwF/LOkoph2nSb0cfrtnLx+v2ceuM/vSL854Jl5RSvkuTfjs5WFTOH95bx/D4rlw3OcXpcJRSCtDeO+3mj+9v4EhZJf+7aDwB/vrZqpr32Yb9VFTVcPYIvVymaj+a9NvBovX7WLh6D7fNGMCgHhFOh6M6iFe+2UFhWZUmfdWutAnaxg6XVPD7d9cxuGcEN03v63Q4qgPJLSwnJtx7L7OnOgdN+m3szx9sJL+4gofnjiBQyzrqOOQVVRDbJcjpMFQn16ryjohEAW8CScAO4GJjzI8uDyMiO4BCoBqoamoGuI5syeYDLFiZw6+m92vXEXWq86muMeQXa0tftb/WNkXvBj43xvQHPrfvN2a6Meakzprwj5RVcs+CtQzoHs6vT+vndDiqg8kvrqDGQGwXTfqqfbU26c8GXrZvvwyc38rtdVh/+XAjBwrLeGjuSIID2meiJNV55RWVA2hLX7W71ib97saYvQD277hG1jPAIhHJEJHrmtqgiFwnIukikp6bm9vK8Dxj2dZc3liRzbWTUzgpMdLpcFQHpElfeUqzNX0RWQz0aGDR749jPycbY/aISBzwmYhsMsakNbSiMeZZ4Fmwrpx1HPtwRFF5FXcvWEtKjIvbZg5wOhzVQR1N+noiV7WvZpO+MWZGY8tEZL+I9DTG7BWRnsCBRraxx/59QETeAcYBDSb9juZvH29iT0Ep866f2G7zX6vOL6+wAoAYremrdtba8s5C4Cr79lXAe/VXEBGXiHSpvQ2cDqxr5X69wrdZB/nvtzu5elISqUlRToejOrDconKCAvzoEqzjJVX7am3SfxCYKSJbgZn2fUSkl4h8ZK/THfhKRFYD3wMfGmM+aeV+HVdaUc1dC9bQOyqMO84Y6HQ4qoPLKywnNjxYr5us2l2rmhXGmIPAaQ08vgeYZd/OAka2Zj/e6OFPN7PzYAmvXzuBsCBtnanWyS0q19KO8ggdMnoCMnbm8+Ly7VwxoQ8T+0Y7HY7qBPKKKojVk7jKAzTpH6eyymrumL+GXl1DueusQU6HozqJvCIdjas8Q+sSx+mxxVvIyi3mvz8fR7iedFNtwJqCoUKTvvIIbekfhx+yD/NcWhaXjE1kcv9Yp8NRncShkgqqa4xOwaA8QpN+C5VXVXPn/NXEdQnhd2cPdjoc1YnoaFzlSVqfaKF/fZHJlv1FvHj1WCJCAp0OR3UidQOz9ESu8gBt6bfAut0FPLV0GxeOjmf6oMamF1LqxNS19LW8ozxAk34zKqtruGP+GqJcQfzhnCFOh6M6IS3vKE/S8k4znl66jY17j/DMFWOIDNOv36rt5RaWE+TvR0SIHo6q/WlLvwmb9h3hn19s5dyRvThjaEMTjSrVerlF5cR20SkYlGdo0m9EVXUNd85fQ0RIIPefq2Ud1X7yiir0JK7yGE36jXhu2XbW5BTwx9lDidZaq2pHeYU6Gld5jib9BmQeKOKxxVs4c2gPzh7e0+lwVCenUzAoT9KkX091jeHO+asJC/LnT+cP1Tqralc1NYaDxRXEdNHyjvIMTfr1vPj1dlbuOsx95w4hrkuI0+GoTq5uCgZt6SsP0aTvZkdeMY8s2sxpg+I4/6R4p8NRPiCvSC+TqDxLk76tpsZw54I1BPr78cAFw7WsozxCB2YpT9Okb3v1u518vz2fe88eQo+uWtZRnqFJX3maJn0gO7+EBz/exJQBsVyUmuB0OMqH5BZaSV9r+spTfD7pG2O4++01CPDXC7Wsozwrt8iegiFUp2BQnuHzSf+NFdl8nXmQe2YNJj4y1OlwlI/JK7RG42pjQ3mKTyf9PYdLeeDDjUxMieaycb2dDkf5oLyicu25ozzKZ5O+MYZ73l5LdY3hb3NG4OenLS3leToaV3mazyb9BSt38+WWXO46cyC9o8OcDkf5KCvp62hc5Tk+mfT3HynjT++vZ2xSN66cmOR0OMpH1dQYe4ZNbekrz/G5pG+M4ffvrKO8qoaH5o7Uso5yzOHSSmsKBq3pKw/yuaS/cPUeFm/cz29PH0hyjMvpcJQP04FZygk+lfRzC8u5b+F6TkqM5GenJDsdjvJxeYWa9JXn+VTSv2/hOkrKq3l47gj8tayjHJZrt/RjdVpl5UE+k/Q/WruXj9bu45YZ/enfvYvT4Sh1dIZNbekrD/KJpJ9fXMEf3lvHsPgIrpuS4nQ4SgFWuTHQX+gaGuh0KMqH+MSEH398fz0FpZX89+fjCfT3ic851QHUDszSKRiUJ7UqA4rIRSKyXkRqRCS1ifXOFJHNIpIpIne3Zp/H67MN+3nvhz38cno/BveM8OSulWqSjsZVTmhts3cdcCGQ1tgKIuIPPAmcBQwBLhWRIa3cb4sUlFTy+3fWMqhHF26a1s8Tu1SqxXQ0rnJCq5K+MWajMWZzM6uNAzKNMVnGmArgDWB2a/bbUn/+cAMHiyt45KKRBAVoWUd5F2uGTW3pK8/yRCaMB7Ld7ufYjzVIRK4TkXQRSc/NzT3hnS7ZfID5GTncMDWFYfFdT3g7SrUHawoGnWFTeV6zJ3JFZDHQo4FFvzfGvNeCfTR0lso0trIx5lngWYDU1NRG12vKkbJKfvf2WvrFhXPzaf1PZBNKtauC0kqqaoy29JXHNZv0jTEzWrmPHCDR7X4CsKeV22zSgx9vYm9BGQtunERwgH977kqpE5JXNzBLk77yLE+Ud1YA/UUkWUSCgEuAhe25w/W7CwD49Wsr+fuizezIK27P3Sl13HLr5t3RE7nKs1rbZfMCEckBJgIfisin9uO9ROQjAGNMFfAr4FNgI/CWMWZ968Ju2pvXT+Sfl46if/cuPLkkk2mPLOWify/nzRW7KCqvas9dK9UitaNx9YLoytPEmBMqm3tEamqqSU9Pb9U29hWU8c6q3czLyCYrt5jQQH/OGtaDuWMSmJASrVMrK0f856vt/PmDDay6dybdXNraV21HRDKMMY2Om+r0I3J7dA3hxml9uWFqCj9kH2ZeRg7vr97D26t2Ex8ZypzR8cwZk0CfaJ1mWXlOXlE5AX46BYPyvE6f9GuJCKN6d2NU72784ZwhLNqwn/kZOfxzSSZPfJHJuKQo5o5JYNaInoQH+8zLohySV2iNxtVvmsrTfDK7hQT6c97IXpw3shd7C0p5Z9Vu5qfncOeCNdy3cL1V/klNYEKyln9U+7D66GtZR3meTyZ9dz27hnLTtH7cOLUvK3cdZn5GDh+4l3/GJDB3dIJePF21Kb02rnKKzyf9WiLCmD7dGNOnG/edO4RP1++zyj9fbOWJz7cyLtku/wzX8o9qvbyicgb20Os6KM/T7NWAkEB/Zp8Uz+yT4tlz2C7/ZORw5/w13L9wPWcN68ncMQmMT47S8o86bsYYnWFTOUaTfjN6RYbyy+n9uGlaX1buOmSXf/ayYGUOCd1CmTM6gbljEkiM0vKPapmC0koqq40OzFKO0KTfQlb5J4oxfaL4wzlDWbTBKv888cVWHv98K+Pdyj8uLf+oJugUDMpJmp1OQGjQseWft1fmMD8jhzvmW71/Zg23yj/jkrT8o34st1BH4yrnaNJvpV6Rofzq1P78cno/Mnba5Z81e5mfkUNilFX+mTNayz/qqNqWvk6rrJygSb+NiAipSVGkJkVx37lD63r/PP75Vv6xeCsTU6KZOyaBs4b3ICxIX3ZflltYO9maJn3leZp92kFokD/nj4rn/FHx7D5cytsZOcxfmcPt81bzh/fWHS3/JEfpRbF9UF5ROf5+QqROwaAcoEm/ncVHhvLr0/rzq1P7kb7zEPPTc/hgzR7mZeTQOyqMOaMTuHB0vJZ/fEjttXH1fI9ygiZ9DxERxiZFMTYpivvOOzr467HFW3hs8RYm9bXKP2cO0/JPZ6ejcZWTNLs4ICwogAtGJXDBqARyDpXw9kpr8Ndv3lrNve+u4+wRPZk7JpGxSd20/NMJ6cAs5SRN+g5L6BbGzaf159en9mPFjkPMz8jmwzV7eSs9hz7RVvlnzpgE4iNDnQ5VtZHcwnL6x+kUDMoZmvS9hIgwLjmKcclR3H/eUD5ZZ5V/Hv2sXvlnaE9Cg/S6vx2VMYaDRRU6w6ZyjCZ9LxQWFMCFoxO4cHQC2fl2+WdlNre9uZp7g9dz9vCezE1NILWPln86miOlVVRU1+jALOUYTfpeLjEqjFtm1JZ/8pmfkcP7a/bwZno2SXb550It/3QYuToFg3KYJv0Ows9PGJ8SzfiUaO4/bygfr9vH/Ixs/v7ZFh5dvIWT+8Ywd0wCZwztoeUfL1Y3Gldb+sohmvQ7IFdwAHPHWLN7ZueXsGBlDgtW5nDrmz8QHhzAOSOswV9jtPzjdTTpK6dp0u/gEqPCuHXGAG4+tT/f2+Wfhav38MaKbJJjXMwZHc+FoxPopeUfr3B0CgY9kaucoUm/k/DzEyakRDMhJZo/2uWfeenZPLJoC3//bAun9LPKP6cP0fKPk2qnYOgWpklfOUOTfifkXv7ZdfBo+eeWN36gS3AA54y0yj+je2v5x9PyCiuIdukUDMo5mvQ7ud7RYdw2cwC3nNaf77Zb5Z93V+3h9e+zSYlxMWeMNfdPz65a/vEEHY2rnKZJ30f4+QkT+0YzsW80f5w9lI/WWnP+P/zpZh5ZtLmu/HPG0B6EBGr5p73kFZXrPPrKUZr0fVB4cAAXpyZycWoiOw8Ws2DlbhZk2OWfkADOGdGLi1ITGJUYqeWfNpZbWE7fuHCnw1A+TJO+j+sT7eI3Mwdw62n9+Xb7Qbv8s5vXv99FSqyLuWMSuHBUAj26hjgdaodnjCGvqEJH4ypHadJXgFX+mdQ3hkl9Y/jT7Co+si/5+NAnm3nk082c0j/W7v3TXcs/J+hImTUFg9b0lZM06asfCQ8O4OKxiVw8NpEdecW8vTKHBSt3c/Prq+gSEsC5I3sxd4yWf45Xnk7BoLyAJn3VpKQYF785fSC3zhjAt1lW+eftlTm89t0u+sa6mDsmkQtGxWv5pwXy9Nq4ygto0lct4ucnTOoXw6R+Mcf0/vnbJ5t4+NNNTLbLPzO1/NOo2snWdFpl5aRWJX0RuQi4HxgMjDPGpDey3g6gEKgGqowxqa3Zr3JWl5BAfjK2Nz8Z25sdecXW4K+MHH79+ioi7PLPRamJjEzoquUfN9rSV96gtS39dcCFwDMtWHe6MSavlftTXiYpxsXtpw/kthkD+CbrIPPSs1mwMof/fbeLfnHhzB2TwAWj4ukeoeWfvKIK/ASdgkE5qlVJ3xizEdDWnMLPTzi5Xwwn94vhSFllXe+fBz/exEOfbGLKAKv8M2Ow75Z/8orKiQ4Pxl+nYFAO8lRN3wCLRMQAzxhjnm1sRRG5DrgOoHfv3h4KT7WliJBALhnXm0vG9WZ7XjELMqy5f371mlX+Oe+kXlw0JpERPlb+0SkYlDdoNumLyGKgRwOLfm+Mea+F+znZGLNHROKAz0RkkzEmraEV7Q+EZwFSU1NNC7evvFRyjIvfnjGQ22YOYPm2POZn5DAvPYdXv91Ff7fyT5wPlH9yiyp0SmXluGaTvjFmRmt3YozZY/8+ICLvAOOABpO+6pz8/YTJ/WOZ3D+WI2WVfGiXf/768Sb+9skmpg6IZe6YRGYMiSM4oHOWf/IKy+kb43I6DOXj2r28IyIuwM8YU2jfPh34U3vvV3mviJBALh3Xm0vH9SYrt4gFK3N4e+VufvnaSrqGBjL7JGvw1/D4zlP+McaQq5OtKS/Q2i6bFwD/BGKBD0XkB2PMGSLSC3jeGDML6A68Yx+8AcBrxphPWhm36iRSYsO544xB/GbmQL7OtMo/b67I5pVvdjKgu1X+OX9UPHFdOnb5p7C8ioqqGi3vKMe1tvfOO8A7DTy+B5hl384CRrZmP6rz8/cTpgyIZcqAWApKa8s/2fzlo0387ZPNdvkngdMGd8zyT20ffZ2CQTlNR+Qqr9M1NJDLxvfmsvG92ZZbxIIMq/xz06aVRIYFMntkL+aOSWRYfESHKf/kFVUAOjBLOU+TvvJqfWPDufPMQdx++kC+sss/r6/I5uVvdjKwexfmjklg9qheXl/+ydXRuMpLaNJXHYK/nzB1QCxT7fLPB2v2MD8jhwc+2siDn2xi+kCr/HPqoO4EBfg5He6P1M6wqUlfOU2TvupwuoYGcvn4Plw+vg+ZB2p7/+SweOMBuoUFMvukeOaOSWBoL+8p/+QVleMnEOXSE7nKWZr0VYfWLy6cu84cxG9PH8iyrbnMz8jhte938dLyHQzqYZd/Top3/ARqXlE5US6dgkE5T5O+6hT8/YRpA+OYNjCOgpJK3rfLP//34Ub++nFt+SeRUwfFOVL+yS3U0bjKO2jSV51O17BAfjqhDz+d0IfMA4XMy8jhnZW7HS3/5BaVO/5tQynQpK86uX5xXbjnrMHccfpAltm9f1777tjyz/mj4tv9BGteYTkpOgWD8gKa9JVPCPD3Y/rAOKYPjONwSQXv23P//N+HG3nw401MGxjHRakJTB/Y9uUfY4w9w6aWd5TzNOkrnxMZFsQVE/pwxYQ+bNlfaA3+WrWbxRv3E+UKqpv7Z2ivrm2yv6LyKsqrarS7pvIKmvSVTxvQvQv3zBrMHWcMZNlWq/zzv2938eLXOxjcM8Iq/5zUi+hWJOza0bha01feQJO+Utjln0FxTB9kl39WW71//vzBBv760UZOHRTH3DEJTB8UR6D/8ZV/dGCW8iaa9JWqJzIsiCsmJnHFxCS27C9kvj33z6IN+4l2BdX1/hnSK6JF29MpGJQ30aSvVBMGdO/C72YN5s4zBpJmD/569dudvPD1dobUln9GxTc50raupd9FT+Qq52nSV6oFAvz9OHVQd04d1J1DxRV1g7/+9MEG/vpxbfknkWkDY39U/skrLEcEosI06SvnadJX6jh1cwVx5cQkrpyYxKZ9R1iQkcM7q3bz6Xqr/HP+KKv8M7inVf7JLaog2hVEwHGeC1CqPYgx3nvt8dTUVJOenu50GEo1q7K6hrQtVvln8cb9VFYbhsVHMHd0Aos27Ce/uIJPbp3idJjKB4hIhjEmtbHl2tJXqg0E+vtx2uDunDbYKv8stHv/3P/+BgBO6RfjcIRKWTTpK9XGurmCuGpSEldNSmLj3iMsXL2HcclRToelFKBJX6l2NbhnRF1tXylvoGeWlFLKh2jSV0opH6JJXymlfIgmfaWU8iGa9JVSyodo0ldKKR+iSV8ppXyIJn2llPIhXj33jojkAjudjqMFYoA8p4NohY4cf0eOHTR+J3Xk2KHx+PsYY2Ib+yOvTvodhYikNzXBkbfryPF35NhB43dSR44dTjx+Le8opZQP0aSvlFI+RJN+23jW6QBaqSPH35FjB43fSR05djjB+LWmr5RSPkRb+kop5UM06SullA/RpH8CROQiEVkvIjUi0mCXKRFJFJElIrLRXvcWT8fZmJbEb693pohsFpFMEbnbkzE2RkSiROQzEdlq/+7WyHq32c9xnYi8LiIhno61IccRf6SIzBeRTfZ7aKKnY20gphbFbq/rLyKrROQDT8bYlJbE723HbXPHoFiesJevEZHRzW1Tk/6JWQdcCKQ1sU4VcLsxZjAwAfiliAzxRHAt0Gz8IuIPPAmcBQwBLvWS+O8GPjfG9Ac+t+8fQ0TigZuBVGPMMMAfuMSjUTau2fhtjwOfGGMGASOBjR6KryktjR3gFrwjZnctid9rjtsWHoNnAf3tn+uAp5vbrib9E2CM2WiM2dzMOnuNMSvt24VYB0C8J+JrTkviB8YBmcaYLGNMBfAGMLv9o2vWbOBl+/bLwPmNrBcAhIpIABAG7Gn/0Fqk2fhFJAKYAvwHwBhTYYw57KH4mtKi115EEoCzgec9E1aLNRu/lx23LTkGZwOvGMu3QKSI9Gxqo5r0PUBEkoBRwHcOh3I84oFst/s5eMeHVndjzF6wDlAgrv4KxpjdwCPALmAvUGCMWeTRKBvXbPxACpALvGiXSJ4XEZcng2xES2IH+AdwJ1DjobhaqqXxA15x3LbkGDzu41QvjN4IEVkM9Ghg0e+NMe8dx3bCgQXArcaYI20VXwv229r4pYHHPNK/t6nYW/j33bBaQMnAYWCeiPzUGPNqmwXZ9P5bFT/WcTka+LUx5jsReRyrFHFvG4XYqDZ47c8BDhhjMkRkWhuG1iJt8NrXbseR47Z+GA08Vv8YPO7jVJN+I4wxM1q7DREJxHrj/M8Y83bro2q5Nog/B0h0u5+Ah0okTcUuIvtFpKcxZq/9NfZAA6vNALYbY3Ltv3kbmAR4JOm3Qfw5QI4xpraFOZ+m6+dtpg1iPxk4T0RmASFAhIi8aoz5aTuFfIw2iN/R47aelhyDx32canmnnYiIYNVkNxpjHnU6nhOwAugvIskiEoR1InShwzGBFcNV9u2rgIa+tewCJohImP1/OA3vOanYbPzGmH1AtogMtB86DdjgmfCa1JLY7zHGJBhjkrDeM194KuG3QLPxe9lx25JjcCFwpd2LZwJWKXNvk1s1xujPcf4AF2B9wpYD+4FP7cd7AR/Zt0/B+pq1BvjB/pnldOwtjd++PwvYAmzDKgt5Q+zRWD0vttq/oxqJ/Y/AJqyeSv8Fgp2O/TjjPwlIt98/7wLdOkrsbutPAz5wOu7jid/bjtuGjkHgBuAG+7Zg9fDZBqzF6rHW5DZ1GgallPIhWt5RSikfoklfKaV8iCZ9pZTyIZr0lVLKh2jSV0opH6JJXymlfIgmfaWU8iH/D6A5OalbmqNpAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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