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Visualisation of zonotope / hyperplane intersection
{
"cells": [
{
"cell_type": "markdown",
"id": "9f55faff",
"metadata": {},
"source": [
"# Zonotope - Hyperplane intersection\n",
"\n",
"A quick visualisation of Lemma 1 from the paper [Set operations and order reductions for constrained\n",
"zonotopes](https://arxiv.org/pdf/2009.06039.pdf)."
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "c1a22567",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from itertools import product\n",
"from scipy.stats import dirichlet, beta\n",
"from scipy.spatial import ConvexHull\n",
"\n",
"\n",
"class Zonotope(object):\n",
" \"\"\"docstring for Zonotope\"\"\"\n",
" def __init__(self, generators, center=None):\n",
" super(Zonotope, self).__init__()\n",
" # generators stacked in the columns\n",
" self.generators = generators\n",
" self.dim = generators.shape[0]\n",
" self.num_generators = generators.shape[1]\n",
" # The zonotope can be offset by a center\n",
" if center is None:\n",
" self.center = np.zeros_like(self.generators[:, 0])\n",
" else:\n",
" self.center = center\n",
"\n",
" @property\n",
" def vertices(self):\n",
" # This is a stupid way to generate the\n",
" # vertices, but we are in 2D, so meh.\n",
" points = []\n",
" for comb in product([-1, 1], repeat=self.num_generators):\n",
" comb = np.array(comb).reshape(-1, 1)\n",
" candidate = self.generators.dot(comb)\n",
" points.append(candidate.reshape(-1))\n",
"\n",
" points = np.vstack(points)\n",
" hull = ConvexHull(points)\n",
" vertices = points[hull.vertices, :]\n",
" return vertices\n",
"\n",
" def intersect(self, hplane):\n",
" # Check if this zonotope intersects the hyperplane\n",
" # Use Lemma 1 from https://arxiv.org/pdf/2009.06039.pdf\n",
" left = np.abs(hplane.b - hplane.w.T.dot(self.center).ravel()[0])\n",
" product = self.generators * hplane.w\n",
" right = np.sum(np.abs(product.sum(axis=0)))\n",
" print('Intersection Score = %.2f' % (right - left))\n",
" return left <= right\n",
"\n",
" def plot(self, ax, label='Zonotope'):\n",
" VC = 'tab:orange'\n",
" verts = self.vertices\n",
" verts = np.vstack([verts, verts[:1]])\n",
" verts = verts + self.center.T\n",
" ax.plot(verts[:, 0], verts[:, 1], VC, lw=1, label=label)\n",
" ax.scatter(*verts.T, color=VC)\n",
" ax.legend()\n",
"\n",
"\n",
"class Hyperplane(object):\n",
" \"\"\"docstring for Hyperplane\"\"\"\n",
" def __init__(self, w, b=0):\n",
" super(Hyperplane, self).__init__()\n",
" # The normal vector\n",
" self.w = w\n",
" self.b = b\n",
"\n",
" def plot(self, ax, label='hyperplane'):\n",
" VC = 'tab:blue'\n",
" w = self.w.ravel()\n",
" norm = np.linalg.norm(w)\n",
" offset = self.b * w / (norm ** 2)\n",
" c = np.array([0., 0.]) + offset\n",
" ax.arrow(*c, *w,\n",
" color=VC,\n",
" head_width=.1,\n",
" head_length=.15,\n",
" linewidth=1.,\n",
" length_includes_head=True)\n",
" ax.text(*(w + offset), 'w',\n",
" fontsize=20, color=VC)\n",
" scale = 1e5\n",
" # Plot line that is perpendicular to normal vector\n",
" perp = np.array([w[1], -w[0]]) * scale\n",
" p1, p2 = perp + offset , - perp + offset\n",
" ax.plot(*zip(p1, p2), color=VC, label=label)\n",
" ax.legend(loc=1)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "51f4cf43",
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 0.24\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
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qKy0tTatXr5bX69XmzZtr5z9mZ2frs88+q53rsn//fq1bt67R5wMABI5An2seEiFx2rRpKioqqr2FeEBycrKOP/54XX311XriiSck2UviKysrlZmZqYyMDN1+++2HPe7w4cN1yy23KCMjQ263W5MmTarz8dNOO01VVVXKzMzU7bffXntL90gefvhhrVixQpmZmerbt6/+7//+7xj+xlJKSopGjBihjIwMzZo1S2PHjtXUqVM1fPhw9e/fX+eee26dIHfA1q1bNXLkSA0cOFAzZ87Un/70J0l22HriiSc0YMAA9evXr3bRxkMPPaTFixerf//+ysrK0tdff+1z7iVLlmjgwIEaNGiQFixYoBtuuKHOOT/77DO98cYbevbZZ+tskzRr1ix17NhRf/rTnzRq1CgNGDBAgwcP1tlnn33Ur+GTTz6pzMxMzZkzRw899JAk6cILL9QDDzygQYMGaf369Xr66ac1a9YsZWZmavXq1brjjjtqj9GQ741t27bpjDPOOKbrNGLECLndbvXv31833XSTBg8eLElq27atHn/8cU2ZMkWZmZkaNmyYY81UAQChyTrS7Tx/y8rKMitXrmy28x3w0ksv6dVXX9WcOXNqnxs5cqRmz5591FYyh7NkyRLNnj1bb7zxhr/KdMSBuYUH37IOdY393vAHrktg4roEJq5LYDrcdfn222/Vp08fJ0oKST//ens8HsXExKw0xhz1l1yLn5N43XXX6a233mrQwgIAAIBQ1+JD4iOPPHLI5w/0ojtWP1/thJajsd8bAAC0BCExJxEAAOCA/Pz8Ot1OnNSqVSunSzgsQiIAAEATOVx7tmBASAQAACGnurpaV1xxhfr166exY8fq66+/ru0wIUnff/+9srKyJNntym6++WZlZ2crOzu7tj3Z4bbSPdQWrGeffbZOO+009erVS3fffbdPPXv37tXo0aM1ePBg9e/fv7aLSH5+vvr06VOn1rKyMkmH3zLXXwiJAAAg5Hz//fe69tpr9fXXXyspKUmrVq1SYmJibX/iJ598UjNnzqx9fUJCgnJzc/XLX/5Sv/rVryRJN9xwg379619r+fLlWrBggS6//PLa169cuVKvvvqqnnvuOUl2b+W5c+dq9erVevHFF+vsLiZJMTExWrhwoT7//HMtXrxYN954Y21f3p/XumDBAknSlVdeqUceeUQrV67U7Nmzdc011/j1a9TiF64AAIDAlXbLm34/Zv79Zx71NW63u3ab2KysLOXn5+vyyy/Xk08+qb/+9a+aN29e7QYH0k/btU6ZMkW//vWvJR1+K13JdwvWU089VSkpKZKkc845Rx9//HGdVmvGGP3ud7/TRx99pLCwMG3durV2m91D1XqkLXP9hZAIAAAcU59A1xR+vqVtWVmZJk+erLvvvlunnHKKsrKyakOdVHe71gP/f6StdBu6le/cuXO1a9curVy5UpGRkUpLS6vdqvVQtXq93kZtmVsf3G4GAACQfct33Lhx+sUvfnHYrXznzZun4cOHS2rYVrrvvfeeCgsLVVZWpldeeUUjRoyo8/GSkhK1a9dOkZGRWrx4sTZu3HjEWo+0Za6/EBIBAABqTJs2TZZlaezYsXWe93g8ysnJ0UMPPaQHH3xQUsO20j3hhBM0ffp0DRw4UJMnT/bZ1WvatGlasWKFhgwZorlz56p3795HrfVwW+b6S0hsy4fDYzurwMR1CUxcl8DEdQlMwbot3+zZs1VSUqJ777239rm0tDStWLFCbdq0OaZjPvXUU1qxYkWdUcfmwrZ8AAAAjTRp0iStX79eH3zwgdOlBARCIgAAgKSFCxce8vn8/PxGHXfmzJl12ukEC+YkAgCAZtWcU91CWWO/zoREAADQbGJiYlRQUEBQbGLGGBUUFCgmJuaYj8HtZgAA0GxSU1O1ZcsW7dq1y+lSWryYmBilpqYe8+cTEgEAQLOJjIyU2+12ugzUA7ebAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPhodEi0LKuLZVmLLcv61rKsry3LusEfhQEAAMA5EX44RpWkG40xn1uW1VrSSsuy3jPGfOOHYwMAAMABjQ6JxpjtkrbX/P8ey7K+ldRZkk9I9Hq98ng8jT0l/KiiosLpEnAIXJfA5PF4ZFmW02XgZ/i9Eph4HwtMDbkufp2TaFlWmqRBkpYd9NyVlmWtsCxrRUFBgT9PBwAAgCbij9vNkiTLslpJWiDpV8aY0gPPG2Mek/SYJGVlZZno6Gh/nRJ+xHUJTFyXwMR1CUxcl8DEdQlefhlJtCwrUnZAnGuMedkfxwQAAIBz/LG62ZL0hKRvjTF/bXxJAAAAcJo/RhJHSJou6RTLslbX/DnDD8cFAACAQ/yxuvljSSz3AwAAaEHYcQUAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAnPHFfOnBDOmuJPu/X8x3uiIAwEEinC4AQAj6Yr70+vVSZZn9uGSz/ViSMs93ri4AQC1GEgE0r+oq6Z3f/RQQD6gsk96/x5maAAA+GEkE0PQqy6UNS6S1r0vfvSXtLzj060q2NGtZAIDDYyQRQNPw7JG+WiC9OFOa3VP69GGpXT/pyiVSYpdDf05ianNWCAA4AkYSAfjPvgLpu/9K374ubfxU6jpM6jNBOv0BqVXbn143+o66cxIP6H1m89YLADgsQiKAxinZIn37hrT2DWn7Gqn7KHvxyeTHpZjEQ3/OgcUp799jf35iqpR1iZT7L6lLtpQxufnqBwAcEiERQMPtWmfPL/z2dakoX+p5ujTsGjsgRsbW7xiZ5/uuZO45Tnr2HMkYqf+5fi8bAFB/hEQAP/lift3RvdF32EHOGGn7anvE8NvXJU+p1Hu8NOYuqdsIKTzSP+fvkCFNf0WaM0nyVksDLvDPcQEADUZIBGA7VO/CV6+V1rwg7V5nB8E+E6SJ/5A6DZbCmmjdW/u+0sWvSnMmSsYrDZzSNOcBABwRIRGA7f17fBeSVFdIW5ZLl74jtesjWVbz1NKut3Txa9IzZ9tBcdC05jkvAKAWIRGA7XA9Cj177NG95ta2pzTjoKA4eHrz1wAAIYw+iQAkr1eKbn3ojznZu7DNcdKM16Ulf5JWPuVcHQAQggiJQKir2Ce9OEOKbytFxNT9WGSsvXjFSSnd7aD44QPS8iecrQUAQgghEQhlJVuk/5wmRcVL13wmnfVIzW4olv3fCQ/7tqlxQkp3aebr0scPSrmPO10NAIQE5iQCoWrzcmn+dGnYL6Tjr7cXpRyqd2GgcKVLM9+Qnp5gz1HMucrpigCgRSMkAqFozQvSO7+Tzv6H1Os0p6upv+Q0aUZNUPRWS8OvcboiAGixCIlAKPF6pffvlr5eaIctJ1YtN1ZyN2nmm9LT4+0RxeN/6XRFANAiERKBUOHZIy24wt4t5YrFUnyK0xUdu6QuNUFxgmSqpRE3OF0RALQ4LFwBQkHRRumJcVKrtva2d8EcEA9ITLWD4sqnpf/91elqAKDFISQCLd3GT6UnTrWbUU94WIqIcroi/0noZAfF1XOljx5wuhoAaFG43Qy0ZJ8/Iy26WzrnX1KPMU5X0zQSOv5069nrlUbe7HRFANAiEBKBlshbLb17u7TubemSt+wt7lqy1h3shTjPnGUvZhl5S/PtMw0ALRQhEWhpykukly6VqiulyxdJcS6nK2oerdv/1B7HeKVRvyMoAkAjMCcRaEkK1kv/HiMlu6WLFoROQDygVVu74fbaN6UP7pWMcboiAAhahESgpdjwofSfcfZOJGfOlsIjna7IGfFt7L2e170jLbqLoAgAx4iQCLQEy/8tLbhMmvyENPRyp6txXnyKHRTXvy+9dztBEQCOASERCGbVldKbN0rLHpMufUdKP9npigJHnEu6+DUp7yPpndsIigDQQIREIFjtL5SenWw3yr78PSmlu9MVBZ44l3Txq9KmT6W3byUoAkADEBKBYLRrnfTv0VKH/tLUeVJMotMVBa7YZHuXmS250lu/JSgCQD0REoFg8/0i6cnTpRN+I437oxQW7nRFgS82SZq+UNq2SvrvTXbTbQDAERESgWBhjLT0n9Kr10gXPGtvs4f6i0mULnpZ2v6F9OZvCIoAcBSERCAYVFVIr18vfT5Huuw9qdtwpysKTjEJ0vSXpZ3fSm/cQFAEgCMgJAKBbl+BNGeitG+3dNk7UnI3pysKbtGtpYteknb/IL1+HUERAA6DkAgEsh3fSI+PkrpkSxfMtQMOGi+6tTTtRakwX3r1WnuvawBAHYREIECFff+O9PR4adRt0pi7pDB+XP0qupU0bb5Usll65RqCIgD8DL91gEBjjMKXPqKIt2dJU+ZJAy5wuqKWKypemjpf2vujtPAqqbrK6YoAIGAQEoFAUlkuvfILhX3ziipmvCV1Gep0RS1fVJw05QVpf4G08EqCIgDUICQCgWLPDunpCVLFPlVe9JqU0NnpikJHZKx04fNSeYn08uX2docAEOIIiUAg2L7G3kGl+ynSeU/bt0HRvCJj7MVBFfukly4lKAIIeYREwGnfvCbNmSSdeo806lYWqDgpMsZuVF5dIb040+5PCQAhit9GgFOMkT58QHr7FumiBVLGOU5XBEmKiJbOf0YyXoIigJBGSAScUFkmLbhM+u6/0hUfSJ0GOV0RDhYRbd/2tyxp/sVSlcfpigCg2RESgeZWuk168nTJCpMu+a/UuoPTFeFQIqKk856SwiOledPtlecAEEIIiUBz2rpSeny01GeCdM7j9qpaBK7wSOnc/9jXad40qYqgCCB0EBKB5vLlS9Lc86QzHpBOvNG+lYnAFx4pTX5Cik5Q5EsX21MFACAEEBKBpub1Sh/8QVp0t3Txq1Kf8U5XhIYKj5DOeVwm1qXIl6ZLFfudrggAmhwhEWhKFfukFy+W8v5nL1Dp0N/pinCswiNUNeFRmfh20vMX2NcWAFowQiLQVIo3S0+Mk6ITpBmvSa3aOl0RGissXFXjH5ESUqXnCIoAWjZCItAUNudK/x4jDbhAOvtRu6UKWoawcOnsv0tJ3ew5pp69TlcEAE2CkAj42+rnpeenSGc9Ih1/HQtUWqKwcPv6pnSX5p4refY4XREA+B0hEfAXb7X03h3Sh/dLM9+Ueo51uiI0pbAwafxDUtte0rOTpfJSpysCAL8iJAL+UF4qvTBV2rJSuvwDqV1vpytCcwgLk858UGqfIT17jlRe4nRFAOA3hESgsQrzpCfG2junTF8oxac4XRGaU1iYdOb/kzoOlOZMksqKna4IAPyCkAg0Rv4n0n/GSUMulcb/zd7KDaHHsuwm6alDpTkTpbIipysCgEYjJALHauXT0oszpEn/J+VcyQKVUGdZ0mn3S12Pl545W9pf6HRFANAohESgoaqrpLdukT59WLrkban7KU5XhEBhWdK4P0rukwiKAIIeIRFoiLJi6bnzpF1rpcsXSW16OF0RAo1lSafeK3UfJT19lrSvwOmKAOCYEBKB+ipYbzfIbtNTmvaSFJvsdEUIVJYljblbOu5U6ekJ0r7dTlcEAA1GSATqY/1ie4HK8Gul0/8shUc4XRECnWVJo++Qep9hB8W9u5yuCAAahN90wNHkPi59+Bfp3Ccl94lOV4NgYlnSqNskK1x6erw043WpVTunqwKAeiEkAodTXSm9dbO08RPpsnckV7rTFSEYWZY06lbJCpOeOtMOiq07OF0VABwVIRE4lP2F0vyLpchY6bL3pJgEpytCsBt5s914+6maEcWEjk5XBABHxJxE4Od2fSf9e7TUaaA05QUCIvznpFnSwCn2iGLpNqerAYAjIiQCB/v+PenJM6QTb5LG/kEKC3e6IrQ0J94oDb7YDoolW52uBgAOi9vNgCQZIy39h/TJw9KFc6Wuw5yuCC3ZCb+y/wFyYI5iUhenKwIAH4REhKYv5kvv3yOVbJESOkvJ3aTyEuny96Skrk5Xh1Bw/HU/LWaZ+QbfdwACDiERoeeL+dLr10uVZfbj0i3Snm3ShIf4RY3mNfxauz3OgRHF5DSnKwKAWsxJROh5/56fAuIBxmv3QgSa27CrpeOvl56aIBXmOV0NANQiJCL0lGxp2PNAU8u+QjrhBntnlsINTlcDAJIIiQhFiakNex5oDkMvt1c+PzXB3iccABxGSEToGX2H3ST7YJGx9vOAk4ZcIp38W3tEcff3TlcDIMQREhF6Ms+XJjwste5kP07sYj/OPN/ZugBJypohjfqd9PRZ0q51TlcDIISxuhmhKfN8qe/Z0n2dpV9/5XQ1QF2DLrLb4zxzljT9Faldb6crAhCCCIkIXeFR9qrm6kopPNLpaoC6Bk612+M8c7Y0faHUvq/TFQEIMdxuRuiyLCkqXqrc73QlwKENuMDeHnLORGnH105XAyDE+CUkWpb1H8uydlqWxX07BJfIWKmCkIgAlnmedNqfpDmTpB+/dLoaACHEXyOJT0k6zU/HAppPZBwjiQh8GZOl0/8szTlH2v6F09UACBF+mZNojPnIsqy0o73O6/XK4/H445Twk4qKCqdLcFRkZKyq9hXJtAqs78tQvy6ByuPxyLIsZ07e4wyFja1WxLPnqPL852U6ZDpTRwDi90pg4n0sMDXkujT5nETLsq60LGuFZVkrCgoKmvp0QMMwkogg4u09QVXj/qLIeRfK2r7a6XIAtHBNvrrZGPOYpMckKSsry0RHRzf1KXEMQva6RLdSlKqkAP37h+x1CXCOXpfMc6SoGEW9OE2aMk9KzXKulgDDz0tg4roEL1rgILRFxrNwBcGn9xl2H8XnzpemzpNShzhdEYAWiBY4CG1R3G5GkOp1mjTxn9JzF0ibc52uBkAL5K8WOM9L+kxSL8uytliWdZk/jgs0uchYqWKf01UAx6bnWGnSv6Tnp0ibljpdDYAWxl+rm6f44zhAs4ukmTaC3HFjpHMek16YJg25RFrzglSyRUpMlUbfwZ7kAI4ZcxIR2qLimJOI4NdjtDR4uvTRAz89V7JZev16+/8JigCOAXMSEdpogYOW4suXfJ+rLJPev6f5awHQIhASEdrYuxktRcmWhj0PAEdBSERoi4xj4QpahsTUhj0PAEdBSERo43YzWorRd9ir9Q8WEWM/DwDHgJCI0MbCFbQUmedLEx6WErvYj8MipayZLFoBcMwIiQhtkXFSJbeb0UJkni/9+ivprhJp2ovSunekqgqnqwIQpAiJCG1RbMuHFqr7KCmlu7TiP05XAiBIERIR2iLj7DYhQEt06r3S/2ZLZcVOVwIgCBESEdqiuN2MFqx9X6nnadLHf3W6EgBBiJCI0BbJ7Wa0cKNukz5/Rire5HQlAIIMIRGhLTKWFjho2RI6StlXSu/f63QlAIIMIRGh7cCOK8Y4XQnQdI6/Xsr7SNq2yulKAAQRQiJCW1i43U+uqtzpSoCmE91KGnmL9O7t/IMIQL0REoEoVjgjBAyaLu3dafdOBIB6ICQCkfHs34yWLzxCGnuv9N4dUnWV09UACAKERCCK/ZsRIo4bK7VqJ616xulKAAQBQiIQGctIIkKDZdmjiUvulzx7nK4GQIAjJAKR8YwkInR0GiSlj5Q+edjpSgAEOEIiEBVHQ22EllN+Ly1/XCrd7nQlAAIYIRGIZGs+hJikrtLgGdLiPzpdCYAARkgEouJpgYPQc+JvpHVvSzu+droSAAGKkAhExrFwBaEnJlE68Sa7JQ4AHAIhEWD/ZoSqIZdKhRuk9R84XQmAAERIBKLiWbiC0BQRJY25y96uz1vtdDUAAgwhEWDhCkJZn7PsfyitecHpSgAEGEIiwEgiQpllSWP/YK905ucAwEEIiUBkHKubEdq6ZEupQ6Wl/3C6EgABhJAIRHG7GdCYO6XPHpX27nK6EgABgpAIRHK7GZArXcq8QPrwfqcrARAgCIkALXAA28m/lb5eKO1a53QlAAIAIRGIopk2IEmKc0kjbpAW3eV0JQACACERiIxnJBE4IPsq6ccvpfxPnK4EgMMIiUAUq5uBWpEx0ug7pHd/L3m9TlcDwEGERCAyntvNwMEyJkvGK339stOVAHAQIRGIiuN2M3CwsDC7wfb7d0tVHqerAeAQQiIQEWP/ImTvWuAn7hOldv2k3MecrgSAQwiJgGXV7LrCaCJQx6l3Sx//Tdpf6HQlABxASASkmjY4hESgjra9pL5nSR/NdroSAA4gJAJSzUgii1cAHyNvldY8LxXmOV0JgGZGSAQkKSqeNjjAobRqJw27xl7EAiCkEBIByR5J5HYzcGjDr5U2LZM2L3e6EgDNiJAISDVtcLjdDBxSVJx0ym12g21jnK4GQDMhJAISI4nA0QyYInn2SGvfcLoSAM2EkAhItMABjiYsXBp7r/TenVJ1pdPVAGgGhERAqmmBw+1m4Ih6jJaSu0krnnS6EgDNgJAISPb+zaxuBo7u1Hulj/4ilZc4XQmAJkZIBCQWrgD11SFDOm6c9PGDTlcCoIkREgHJHklk4QpQP6fcJq18SirZ4nQlAJoQIRGQpMhYFq4A9ZXQSRp6ufTBH5yuBEATIiQCEgtXgIYacYO0/gNp+xqnKwHQRAiJgFSzcIWRRKDeoltLJ/+WBttAC0ZIBKSakURCItAgg2dIe36Uvn/P6UoANAFCIiDRTBs4FuGR0pi7pffukKqrnK4GgJ8REgFJiuJ2M3BMep0uxaVIq+c6XQkAPyMkAl/Ml+ZfLG1eJj2YYT8GUD+WZW/Xt+RPkmev09UA8CNCIkLbF/Ol16+X9u6wH5dsth8TFIH66zxY6jZC+uzvTlcCwI8IiQht79/jux1fZZn9PID6G32HtOz/7IUsAFoEQiJC2+F2jGAnCaBhkrtJgy6SFt/ndCUA/ISQiNCWmNqw5wEc3ok3SmvflHZ+63QlAPyAkIjQNvoOe0u+g4VF2s8DaJjYZDsovsfPD9ASEBIR2jLPlyY8LCV2kWRJrdrbPRN7ne50ZUBwGnq5tPt7acMSpysB0EiERCDzfOnXX0l3FUs3rZN6nSZ98rDTVQHBKSJKGnOn9O7tktfrdDUAGoGQCPzcKbdLyx+XSrc5XQkQnPpOlCKipS9pJQUEM0Ii8HNJXew9aRf/0elKgOBkWdLYP0jv3+vbYgpA0CAkAody4m+kde9IP37ldCVAcOo6TGrVTprdS7orid2MgCBESAQOJSZROmkWqzSBY/XFfGnn15KnRJJhNyMgCBESgcPJukQqypN+eN/pSoDg8/49UpWn7nPsZgQEFUIicDgRUdKYu+3RRG+109UAwYXdjICgR0gEjqTPBCmqlbTmBacrAYILuxkBQY+QCBzJgVWaH/xBqtjvdDVA8DjUbkaRsexmBAQRQiJwNF2GSl2ypaWPOl0JEDwO7GaUUDNymJBqP84839m6ANQbIRGojzF3Sp/9Q9q70+lKgOCReb70m6+l8CjpupUERCDIEBKB+nClSwMulJbc73QlQPCJjJMqma4BBBtCIlBfJ82SvnlF2rXO6UqA4BIVT0gEghAhEaivOJc04lfSojudrgQILpFxLPwCghAhEWiI7CulHV9J+R87XQkQPCJjpcp9TlcBoIEIiUBDRMZIo++U3v295PU6XQ0QHKLiGUkEghAhEWiofufY//36ZWfrAIIFC1eAoERIBBoqLMxusL3obqmy3OlqgMAXFSdVcLsZCDaEROBYpJ0gdciQch9zuhIg8EXGS5VlTlcBoIEIicCxGnO39MnfpP2FTlcCBLaoOBauAEGIkAgcq7Y9pb4TpY8ecLoSILDRAgcISoREoDFG3iKteUEq3OB0JUDgYuEKEJQIiUBjtGonDb/GXsQC4NBYuAIEJUIi0FjDrpW2LJc25zpdCRCYItmWDwhGhESgsaLipFG32Q22jXG6GiDwRMWxuhkIQoREwB8GXGjfTvv2dacrAQJPZCy3m4EgREgE/CEsXDr1HmnRnVJVhdPVAIGF281AUCIkAv7SY7SU7JZWPul0JUBgiaIFDhCMCImAP516j903sbzE6UqAwBEZTzNtIAgREgF/6pAh9Rwn/e+vTlcCBA5GEoGgREgE/G3UbdLnT0vFm52uBAgMNNMGgpJfQqJlWadZlvWdZVk/WJZ1iz+OCQSthE7S0CukD+51uhIgMBASgaDU6JBoWVa4pEclnS6pr6QplmX1bexxgaA24nppwxJp22qnKwGcx+1mIChF+OEY2ZJ+MMZskCTLsl6QdLakb37+Qq/XK4/H44dTwl8qKmjX0jSiFDbiRoW/c5sqpyyQLKtBn811CUwej0dWA68lJJkwRVWVq6K8TLL8P8uJ3yuBifexwNSQ6+KPn9bOkg6efLWl5jlJkmVZV1qWtcKyrBUFBQV+OB0QHLwDL5L27lDY+kVOlwI4ywqzG2pzyxkIKv4YSTzUP6tr9yYzxjwm6TFJysrKMtHR0X44JfyN69IUoqWx9yps0V1S79Ok8Ib/uHFdAhPX5RhExinaqpaa8GvHdQlMXJfg5Y+RxC2Suhz0OFXSNj8cFwh+PU+T4ttKq+Y4XQngrKg4tuYDgow/QuJyScdZluW2LCtK0oWSXvPDcYHgZ1nS2HulJfdLnr1OVwM4JzJOqixzugoADdDokGiMqZL0S0nvSPpW0nxjzNeNPS7QYnQaJLlPkj592OlKAOfQBgcIOn5ZZmaM+a8xpqcxprsx5o/+OCbQooy+Xcp9TCrd7nQlgDOi4rndDAQZdlwBmkNSV2nQdGkx/4ZCiGIkEQgIhfvq3wLHH6ubAdTHiTdKfx8i7fhGak+/eYQYFq4AjvixpFzL8gqUm1eo3LxC/VhaXu/PJSQCzSU2yQ6K790hXfSS09UAzSsynpFEoIkZY7SlqEzL8gq1bEOBcvMLVVpWqaFpLuWkp2hKdlelu6IVf3f9jkdIBJrTkMukZf+S1i+Wuo9yuhqg+UTGsjUf4GfGGK3fta9mlLBAy/IKVeU1ynG7lON26YqT0tWjbSuFhf3U0rohOxQREoHmFBEljblLevd26aoPpbBwpysCmkcUcxKBxvJ6jb7bsad2lDA3r1DREeHKSXdpePcU3TCmp9JS4vy2fSghEWhufc+WPntU+mKeNHCq09UAzYPbzUCDVVV79fW20to5hcvzi5QSH6WcdJdO7dtevzujj1KT45rs/IREoLlZljT2D9JLl0h9J9ojLEBLFxVHCyjgKDxV1fpiS4ly8wq1dEOBVm0qVmpyrLLdLk0alKr7zumvdq1jmq0eQiLghK45Uucsaek/pJNucroaoOlFxkmVrG4GDlZWUa3PNxVpWc2cwi+3lKh7u1bKTnNp+rBuevjCQUqOj3KsPkIi4JQxd0n/HiMNniG1aut0NUDTiopn4QpCXml5pVZuLNKyDXYoXPvjHvXpmKAct0tXn9xdWd2S1Tom0ukyaxESAaekdJcyz5c+/LN05mynqwGaVmQscxIRcgr3VWh5fqEdCvMLlLdrnzJTk5Ttdummcb00qEuyYqMCdwEjIRFw0km/lR4dKuVcJbU5zulqgKbDwhWEgJ2l5TW3jgu1LK9A24vLNbhbsrLdLt01oZ/6pyYqOiJwQ+HPERIBJ8WnSMdfLy26S7pwrtPVAE0nKo7bzWhxthTtr7l1XKjc/EIV7qvQ0DSXhqW7dN6QVPXtmKCI8ODdAZmQCDgt52pp+RPSxk+lbsc7XQ3QNFi4giBnjFHe7n01o4R2MPRUee3G1ekuXXJCmnq2a12ncXWwIyQCTouMkUbfLr37e+ny9+0WOUBLw8IVBBmv12jdzj11QmFkmKWc9BRlu1267pQecreJ91vj6kBESAQCQca50md/l75+WcqY7HQ1gP9FsuMKAltVtVffbC+tDYXL8wuVFBupHHeKTunVTrec1ltdXKHV15aQCASCsDC7wfarv5R6j3e6GsD/2LsZAaaiyqsvtxZrac2cws83FqljUoyy3S6dNaCT/jAxQ+0Tmq9xdSAiJAKBwn2S1K6PlPu4lHWF09UA/hUVz5xEOKqsolqrNhfZi0zyCrVmc7HcbeOVnZaiqTld9eAFA+VysHF1ICIkAoHk1HukJ0+X+p4rxSY7XQ3gP+FRkjFSdaUUHjjNgtFy7fVUaUV+YW0o/GZ7qXp3aK1sd4quODFdWWnJSgigxtWBiJAIBJK2vaQ+Zyn80wdVPfoep6sB/Meyahav7JNik5yuBi1Q8f4KLc8v0rINBcrNL9QPO/eqf+dE5aSn6Nen9tSgrkmKiyL2NARfLSDQjLxV4X/rr+pl/5asKskKl7JmSuP/6nRlQOMcWLxCSIQf7NxTruV5RcrNK9CyvEJtKSrToK5JynG7dPv4vsoMssbVgYiQCASaD/+s6soKRVjGfmyqpRVP2P9PUEQwo6E2GmFbcZmW5RXUrj4u2FuhoWn2bib3D85Uv04JigzixtWBiJAIBJqVT6laks/06ZVPERIR3GiojXoyxmhjwX7l5hVqaU0wLK+sVrbbpew0l6YPS1OvDq0V3oIaVwciQiIQaEy1pDB5ZRTu8zwQxCIZScSheb1GP+zaq2V5hfacwrxChVmWctJdynGn6JqRPdS9bctuXB2ICIlAoLHCJRlVGUvhB2451z4PBLEoGmrDVu01+nZ7ac1OJgVanl+k1jERyk5z6eSebXXzab2VmhxLKHQYIREINFkzpdwnJVmSDgqJ/c9zqCDATyLjCYkhqrLaqy+3lmjZBjsUrthYpPYJMcpxu3RG/46666x+6pgY63SZ+BlCIhBoxv9VqvJKq56V5LVHEDsNkrbkSiVbpcTOTlcIHBsWroSM8spqLc8v0vL8Iq3cXKLVm4rVLSVe2W6XLhjaRQ+cN0BtWkU7XSaOgpAIBKLT/2z/iT7oTfSTh6SnzpRmviElpjpXG3CsWLjSYu3zVGnlxqKalccF+npbqY5rF68h3ZJ16Qi3hkxzKTGWxtXBhpAIBIsRN9ijik+dKc14Q0rq4nRFQMOwcKXFKNlfqeX5hcrNt9vRfL9jjzI6JSon3aXrRx+nwV2TFSF7sV10NCOGwYqQCAST438pWWE1QfF1Kbmb0xUB9cfClaC1e69Hy2v6Ey7LK9Smgn0a1DVZOW6Xfnd6bw3okqSYyLqL6zweOjIEO0IiEGyGXyOFhUtPjZdmvi4lpzldEVA/kXFSxV6nq0A9bC8pq21avWxDgXbu8WhomkvZbpfum5ShjM6JNK4OAYREIBjlXFUzojhemvGa5Ep3uiLg6KLipb07na4CP2OM0ebCstqm1bl5hdrrqVJ2TSicmt1VfTom0Lg6BBESgWCVfUXNiOIEOyimdHe6IuDIWLgSEIwxWl/buNoOhV5jlJOeohy3S1edlK4e7VrRoxCERCCoDbnUHlF8eoI9R5GgiEAWFc/CFQdUe43W/lhaO0qYm1eouOhwZael6ITj2ujGsT3V1RVHKIQPQiIQ7LJm1r313OY4pysCDi0yloUrzaCy2quvtpbUBsLl+YVq2zpa2e4UjevXQbeP76tOSTSuxtEREoGWYPDFdnucpydIF78qte3ldEWAr8g4qYLbzf5WXlmtL7aU2Hse5xdq1aZipSbHalh6iiZnper+yZlq25o2NGg4QiLQUgyaZo8oPnO2NP0VqV1vpysC6opiWz5/2F9Rpc83Fis3r0BL8wr11dYSHdeulbLdLs0YnqZHpiQrKS7K6TLRAhASgZZk4BR7McszZ0vTF0rt+zpdEfCTyDipsszpKoJOaXmlVtQ0rc7NK9R3P+5Rv04Jyna7dO2oHsrqlqxW0fw6h//xXQW0NJnn2yOKcyZKF70sdchwuiJA+mK+9O4d0t7t0oMZ0ug77O9V+CjcV1G7vV1uXqHyd+/TwK5Jyk5L0W/H9dagrr6Nq4GmQEgEWqL+50qWJc2ZJF20QOqY6XRFCGVfzJdev/6nUcSSzfZjiaAoaUdpeW3T6ty8Qv1YUq6stGRlu1265+wM9e+cqKgIGlej+RESgZYqY7I9ovjsZOmil6SOA5yuCKHq/Xt8bzNXltnPh1hINMZoS1FZza3jAi3LK1RpWWXtbiYXDu2qPh1bK4LdTBAACIlAS9Zvkr3q+dnJ0rQXpU6DnK4IoahkS8Oeb0GMMdqwe19N02p7pLDSa5TjdinH7dJlJ6TruHatFMZuJghAhESgpet7lj2iOPc8aeo8qXOW0xUh1LTuIO3Z7vt8Ymrz19LEvF6j73bsqTOnMDoiXDlul4Z3T9ENY3oqLYXG1QgOhEQgFPQZb696nnu+HRRThzhdEULF5ly77U1YhOSt+un5yFh78UqQq6r26uttpbWhcHl+kVLio5TtdmlMn/b63Rl9lJoc53SZwDEhJAKhotfp0sR/SM9dIE15XuqS7XRFaOnWvCC98ztp0mOSp9Seg1iyxR5BDNLVzZ4qu3G1HQoLtWpjkTonxyrb7dLEQZ113zn91a51jNNlAn5BSARCSc9x0qT/k56fIl34nNQ1x+mK0BJ5q+1A+PVCaeabUrs+9vNBGArLKqq1alORltYsNPliS4m6t22lHLdLF+V01UMXDFRyPI2r0TIREoFQc9yp0jn/kl6YKl3wrNRtuNMVoSXx7JEWXGGPHF6xWIpPcbqiBtlTXqkVG4vskcINBVr74x716Wg3rr765O7K6pas1jGRTpcJNAtCIhCKeoyRJj8uzbtIOv8ZKW2E0xWhJSjKt0epU4fY31cRgT/CVrSvQrn59k4muXmF2rBrrzJTk5Ttdummsb00qGuyYqNoXI3QREgEQlX3U6Rzn5DmXyyd95TkPtHpihDM8j+RXrpEOuE3Us5VdjP3ALSztFy5+YU1LWkKta24TIO6JSvH7dKdE/qqf2qioiMIhYBESARCW/pI6bwnpRdnSuf+R0o/2emKEIw+f0ZadLd0zmNSj9FOV1PHlqL9taOEy/IKVbivQkPT7B6F5w1JVd+OCTSuBg6DkAiEOvdJ0vlPS/NnSJP/LXUf5XRFCBbVVdJ7t0vr3pEueUtq29PRcowxytu9r04o9FRVK8edomy3SzNHpKlnu9Y0rgbqiZAIQEo7Qbpgjj1H8ZzHA240CAGovER66VKpulK6fJEU52r2Erxeo+937tUn63Zo+cZirdhUrMgwSznpdii89pQeSm8TT+Nq4BgREgHYuh1vt8V5YZo06V/ScWOcrgiBqmC99PyF9nSFcfdJ4c2z2req2qtvt+/Rspo9j5fnFyopNlJZXZM0smeKfndmX6UmxxIKAT8hJAL4SddhNUFxqjTxn1LPsU5XhECz4UNpwWXSyFuloZc16akqqrz6cmuxltXcPl65sUgdE2OU7XZpwoBO+sPEDLVPiJHH45EkRUdHN2k9QKghJAKoq2uONOUFe6To7EelXqc5XRECxfJ/S0vulyY/0SSLnMorq7VqU3HtnsdrNhcrrU28ctwpunBoV/2/8wYopRVBEGguhEQAvroMlabOl56/QJrwkNT7TKcrgpOqK6W3b5Hy/idd+o6U0t0vh93rqdLKjUVatsEOhd9sL1WvDq2V7XbpihPTlZWWrAQaVwOOISQCOLTULDsoPne+ZLxSnwlOVwQn7C+UXpwhhUdLl78nxSQe86GK91doeX6RcmvmFP6wc6/6d05UjtulX43pqcHdkhQXxa8lIFDw0wjg8DoPlqa9JM091w6Kfc92uiI0p13r7NHkXmdIp94jhTWsyfSuPZ6adjR2KNxSVKZBXZOU43bp92f21YAuNK4GAhkhEcCRdRooXbRAerYmKPab5HRFaA7fL5IWXiWNuUsaPL1en7KtuKymP6EdCnfv8diNq9Ndun9wpvp1SlAkjauBoEFIBHB0HQdI01+Wnp1sB8WMyU5XhKZijLT0n9Inf5MueFbqNvwwLzPaWLC/tmn1srwClVVUK9vtUrbbpenD0tSrQ2uF07gaCFqERAD106G/NH2hNGeS5PVKmec5XRH8rapC+u+N0paV0mXvScndaj9kjN24+kA7mty8AlmylJNuh8JfjExX97at6FEItCCERAD1176fdPGr0jMT7RHFARc4XRH8Zd9uad50KTZJuuwdVUe20rdbS2pCYYGW5xepVXSEctwunXRcG80a20tdXDSuBloyQiKAhmnXxw6KcyZKploaONXpitBYO75R5XNT9WXXacpNmaRlz32rFRuL1D7Bblx9Rv+OuuusfuqYGOt0pQCaESERQMO16y1d/Jr0zNmSt7reCxsQOMorq7V6c7Fyly9T7pffarX+oK5hicqO9Oj8IV30wHkD1IbG1UBIIyQCODZte0ozXpOePsu+9Zw1w+mKcAT7PFX6fFORlm2w5xR+ta1Ex8Xt0zDPZ7pk3EQNycpRYhyNqwH8hJAI4Ni1OU6a+Yb09AQ7KA65xOmKUKOkrFIr8u1AuDSvUN/v2KOMTonKdrt03cldNfjr+xS/+wtpyvNSYqrT5QIIQIREAI2T0l2a8bp969lUS0Mvd7qikLR7r0fLa9rR5OYVamPBPg3qmqxst0u3nt5bA7skKSYyXNqzQ5p3kZTQUbr0bSkq3unSAQQoQiKAxjsQFJ8+y+6zl32F0xW1eD+WlNc2rc7NK9SO0nINTbPb0fxhUoYyOiUqKuJnjau3r5FemCYNnCadfLMURmNrAIdHSATgHy53za3n8fZilmFXO11Ri2GM0ebCsjqhcE95pbLdLuW4UzQ1u6v6dEw4cuPqb16V3vi1dMZsKeOc5iseQNAiJALwn+Ru0sw3pafG27eeh1/rdEVByRij9bt+aly9bEOhvMYoJz1F2W6XrjrJblwdVp/dTIyRPnpAWvmUvb1ip0FNXj+AloGQCMC/krraQfHAiOKI652uKOB5vUZrf9yjZXkFNbuZFCo2Klw57hSN6N5Gvx7TU91S4hreuLqyTHr1WqkoX7riA6l1hyapH0DLREgE4H9JXWqCYs2q5xN+5XRFAaWy2qvPNxZpyXe7tG7HHi3PL1Sb1tHKcbs0rl8H/X58X3VOamTj6tJt0gtTpZQe9rWIpBE2gIYhJAJoGompdW89n3ij0xU5xlNVrTWbS5RbM6dw1aZixUeHa0epR49OHaz7J2eqbWs/Nq7eulJ64SIp+3LphN9IbJ0H4BgQEgE0nYROP40oer3SybOcrqhZ7K+o0ucbi2tD4ZdbS3Rcu1bKdrt08fA0PTIlWWWV1Rr+pw90fPcUJcdH+e/kX74kvfVbacLDUp/x/jsugJBDSATQtBI6HtRwu1oaeYvTFfldaXmlVuYXaWnNnMLvftyjvh0TlJPu0jWjeiirW7JaRdd9u02q+e+zSzfqutHHNb4Ir1dacp+0Zp69t3aH/o0/JoCQRkgE0PRad6g7R3HkrUF9C7RwX0XtApNleQXK371PA7okKdvt0m/H9dagrjWNq+vh4Q++b3xIrNgnLbxK2rvLXqDSqm3jjgcAIiQCaC6t2kkzakYUvdXSKb8PmqC4o7Rcy/IK9dkPu7RiY5F+LPEoK83ezeSes/upf+ck38bV9TAlu4uez93cuOKKN0vPT5E6ZkqTn5Ai/Di3EUBIIyQCaD6t2tbcej7LHlEcfUfABUVjjLYUldX0KLRvHxeXVWpomktDuiTo3MGdNKBriiLCG79byZUnddfzuZu111Plczu6XjbnSvOmS8f/Uhr+y4D7WgIIboREAM0rvk3dvZ7H3O1ouDHGaMPufTVNq+1QWOk1yna7NMzt0mUnpOu4dnbjao/HI0l+CYiS5G5j75s8f/lmXXqCu2GfvPp56d3fSxP/KfUc65d6AOBghEQAzS8+RZrxmh0UvdXS2D80W1D0eo2+27HnoDmFhYqOCFOO26Vh6Sm6YUxPpR1L4+pGePiD7+sfEr3V0vt329vszXxTate7aYsDELIIiQCcEeeyV+HOmSS98ztp3H1NEhSrqr36Znuplm2wA+GKjYVKjotSjtul0X3a6dYzeis1Oc7v562vCQM66fU12+r34vJS6eUr7IUqVyy2v4YA0EQIiQCcE+eSLn7FDopv3yKddn+jg6KnqlpfbinRsppRwlUbi9QpKVbZbpcmDuqk+yZlqF1CjH/q94OrT07X62u2qbyy+sgrogvz7AUqXXOk0x+QIvzYWxEADoGQCMBZscnS9FekZ8+R/jtLOuOBBgXFsopqrdpUVLPQpFBfbClWelu7cfW0nK566IKB/m1W7Wd9OyZIkl5bs03nD+ly6BflfyK9dIl04k1S9hUsUAHQLAiJAJwXmyRNXyg9O1l680bpjNlS2KEXh+wpr9SKjUW1cwq/3V6qPh0TlO126cqT05XVLVkJMZHNW38jHJj7+PD73x86JK58WvrgXumcx6TupzRzdQBCGSERQGCISZQuelmae6705q+lMx+UwsJUtK9Cy/MLa0cK1+/aq8zUROW4U3TjqT01qGuyYqPq17g6UI3q1VaLv9tV98nqKnv18g/vSZe8LbXp4UxxAEIWIRFA4IhJ0M6zn1fu3DuV+/D/aZnpp63F5RrcLVk5bpfunNBX/VMTFR0R3KHw564d1UOLv9ulymqvIsPDpLJi6aVL7V6Sly+yb8kDQDMjJAJw1Nbistr+hLl5hSrYV6GhXS9STuFrmtx+i/r98m5FRAbP7eNjkdXNDoHvfbNDZ3TaLz13gdRjtDT2j1I4b9MAnMG7D4BmY4xRfsF+5eYV1Lak8VRVK8edomy3SzOOT1Ov9q0VFmZJFf3tsPTGddLZj0phLWv08GAH5iX+7+0XdYYelkbdJg25xOGqAIQ6QiKAJuP1Gn2/c69y8wq0tGakMCLMUo7bpZz0FF17Sg+lt4k/dOPqqHhp6jw7KL7yC3tnkRYcFH/f9mOdXTpXmjlXcp/odDkAQEgE4D/VXqNvtpVqWc2ex8vzC5UYG6lst0ujerXTLaf1VmpybP13M4mKl6bOl16YIr18pTTpXy3v9mt1pfTWzZoS9qFOr7hLi7udoJYbhQEEkxb2bgugOVVUefXl1pLaULhyY5E6JMQoJ92l8QM66Z6zM9QhsZGNq6PipCkvSC9MtXcbOefxlhMU9xdKL86QImIUc/UH2nT3x/rf97s0slc7pysDAEIigPorr6zWqk3FNXseF2jN5mKltYlXttulC4d21f87b4BSWkX7/8SRsdKFz0vzpkkLLpMm/1sKD/LFLLu+k56/UOp9pjTmboXX3Er/++IfCIkAAgIhEcBh7fVUaeXGIuXWjBR+va1UvTq0VrbbpctPdCurm0uJsc0U1iJjpAvmSvOn2+1hzv1P8AbF79+TFl4tnXqPNGha7dN9OrbWivwiBwsDgJ8QEgHUKtlfqdz8wtpQ+P3OvcronKhhbpduGN1Tg7slKS7KwbeNyBjpgmel+RdLL86Uzn0yuPYwNkZa+g/pk4elC+dKXYfV+fB1pxyna+Z+LmNM/edtAkATadS7vWVZ50m6S1IfSdnGmBX+KApA89i1x2PvZrKhQMvyCrWlqEyDuiYpO82l287sq8zURMVEBtgyioho6fxn7JD44gzpvKfs5wJdVYX05m+kbauky9+Tkrr6vOTUvu0lSSs3FmlImqu5KwSAOho7JPCVpHMk/csPtQBoYtuKy2rmE9pzCnfv8WhomkvZbpfun5ypfp0S7B0/Al1EtHTe09JLl0jzpksXzAnsoLhvt11nnEu69B0putUhX3bga//3D37QU5dmN2eFAOCjUSHRGPOtpHrfFvF6vfJ4PI05JfysoqLC6RJwCP64LsYYbS4qU25+kVZsLNbyjcXaX1Glod2SNaRbki4YnKGe7VspPOynn19vVaU8VY0+dfM561+KePUq6fmpqjrnP1JEI1dSH4XH46nf+91XC6TFf5JKt8qKb6tIVap60MWqPulmSWHSEd4HuyRG6sO123mvbAC+VoGJ3y+BqSHXpcknF1mWdaWkKyWpS5cuTX06IGQZY7R+1z4t31is5flFWr6xWJKUnZakod2SdcUJaUpvE9ey5rqFR6rq7H8p4rVfKHLBTFVOfqrJg+JRfbVA+u9NUmWZwmQUsf9HVYVFy+vqKVlHH6X9xcjuum3hV8xLBOA4yxhz5BdY1iJJHQ7xoduMMa/WvGaJpJuONicxKyvLrFy58hhLRVM48C/w6OgAvlUXgupzXaq9Rt9uL63d8zg3v1CtoiOU7bZvHw9zp6iLqwGNq4NZdZW08Eq77+CU5+2WOU2gXj8vD2ZIJZt9n0/sIv36q6Oeo7yyWr1vf1tvXn+C+nVKPNZSQwrvY4GJ6xKYPB6PYmJiVhpjhhzttUcdSTTGjPFPWQAao7Laq6+2lmhZTShckV+otq2jlZOeotP7d9AdE/qqU1LThKOAFx4hTXpMeuVqexu/KS/YTbibizH2gpRvXz90QJSkki31OtSBhUL/XLJef5862F8VAkCD0QIHCFCeymqt3lpQGwpXby5WF1ecctwunZeVqr+cm6k2TdG4OliFR9jb9r3yC+m58+19n6Pim+581VXSps+ktW9I375ht+fpM0GKbyft2+n7+sTUeh86OS5Sb3yxXX+f6sd6AaCBGtsCZ5KkRyS1lfSmZVmrjTHj/FIZEGL2ear0+aYi5eYV6rP1u/XN9j06rn1r5bhdumREmoZ0cykxLkibRzeXsHBp4j+lV38pza0JiodZSXxMqjwKy/9I+uEt6bu3pcTOUu8J0kULpLa9JMuS2vWVXr9eqiz76fMiY6XRd9T7NNePPk53v/6N/+oGgGNw1DmJ/sScxMDDnBHnlJRVakV+YW1LmnU79iijU6Ky3S4NSm2tQV0S5UpowpGwlsxbLb12vVS4QZr2YuOComePvUPKt6/L/LBIpl1fhfU9S+o9XkrudujP+WK+9P499i3mxFQ7IGaeX+9T7vNUqd+d72jxTSPlbsP3wNHwPhaYuC6BqSFzEgmJIY4f4uZTsNduXL10gx0MNxbs08CuScpxpyjb7dLALkm189G4Ln7g9Upv3CDtWidd9JIU3br+n7uvQPruv/at5PxPpK45Up8J8rhHS/HtmuW6pN3ypi4c2kX3T85s8nMFO35eAhPXJTD5deEKgGPzY0m5luX9NKdwR2m5hnRLVrY7RX+YlKGMTomKigiCxtXBKixMGv+QvcvJnHOkQRdJHz1w+NG9ki3S2jftxSfb10jpI6WMc6VzHpNialYZN2M/vqiIML2wfDMhEYBjCImAHxhjtLmwTMtq9jxelleoPeWVNe1oUjQ1u6v6dEyo07gazSAsTDrzr9KcSfao4oE7JyWb7XmDe36UvFV2MCzKk3qeLg37hdT9lCZro1Nf15/SQ7PfXedoDQBCGyEROAYHGlcfCIW5eYWq9hplu13KSU/RFSelq0fbVgojFDovLEwq+OGngHhAZZm06E5pyKX2qGLaCVJ44CwMumhYN81+d522l5SpY2KItjYC4ChCIlAPXq/R2h/3KPeg28exUeHKdrs0onsb/XpMT3VLaWG7mbQkpVsP/bzxSmf+v+atpZ6S4qIkSU/8L0+/H9/X4WoAhCJCInAIVdVefbWtVLk1I4XL84uU0ipKOW6XxvZrr9+P76vOodq4Ohglph5+F5QA9++PCYkAnEFIBCR5qqq1ZnNJ7Ujhqk3FSk2OVY7bpUmDUnXfOf3VrrXDewLj2I2+o9G9C51w1cnp+teHG5wuA0CIIiQiJO2vqNKqTcVatsEOhV9uLVGPdq2UnebSxcPT9MiU5NrbfWgBDqxibkTvQidcOsKtf324QQV7PUphdx0AzYyQiJBQWl6plflFNfMJC7T2xz3q2zFB2W6XrhnVQ4O7Jql1TOAsWkATyDw/4EPhz7VPsEev5yzdqF+N6elwNQBCDSERLVLhvoraVce5+QXK27VPA7okKdvt0k3jemlw1+TaxtVAoHvkgx8IiQCaHSERLcLO0nItyyusbUmzvbhcg7slKyfdpbvP6qf+nZNoXI2gNC2nq+Yu2+R0GQBCECERQWlz4f7akcJleQUqLqvU0DSXctwuXTCkq/p0bK2IcEIhgt+VJ6Vr7rJN2lNeyZQIAM2KkIiAZ4xR3u59tf0Jc/MK5anyKifdDoWXnJCmnu1a07gaLVK3lHhJ0rzlm3X5iekOVwMglBASEXC8XqN1O/fYo4Qb7C3uoiPClOO2Q+F1p/SQu008jasRUh5+/3tCIoBmRUiE46qqvfpme6ly8wq1dEOhVmwsVHJclLLTXBrdp51uPaO3UpPjnC4TcMzEgZ30yuptTpcBIMQQEtHsKqq8+mJLce3t4883FqlTUqyy3S6dPbCT7puUoXYJNK4GDvjFyB56ZfU2lVdWsyofQLMhJKLJlVVUa9XmIi3bYIfCL7YUy902XjnuFE3N6aoHLxgoVzyNq4HD6dm+lSRp4aqtmpLd1eFqAIQKQiL8bk95pVZuLKpZeVyob7eXqneH1sp2p+jKk9OV1S1ZCazSBOrtwPzbR97/npAIoNkQEtFoRfsqtDy/sDYUrt+1V5mpicp2p+g3p/bUoK5JioviWw1ojDF92mnRtzudLgNACOE3Nxps557yn3YzySvUlqIyDeqapGHpKbpjQl9lpiYqOoJ5U4A/XTOqhxZ9u1MVVV4awwNoFoREHNXW4jLl5hXUziks2FehoWnJynGnaPLgVPXrlEDjaqCJDeqSJEl6++sfddaATs4WAyAkEBJRhzFG+QX77VBY06fQU1WtbLdL2WkuzTg+Tb3a07gaaG4Hz0skJAJoDoTEEOf1Gq3fvU+rtmyvbUkTHmYpx+1StjtF14zsoe5taVwNBIJh6S4t3VDodBkAQgQhMcRUe42+3V5aM0pYoNz8QiXERCjHnaKRvdrp5tN6KzU5llAIBKBfjjpOSzcsU7XXKJzRfABNjJDYwlVUefXl1pKaRSYFWrGxSB0SYpTtdmn8gE76/enHqX1CjKKjo50uFcBRHN89RZL00bpdGtW7ncPVAGjpCIktTHlltVZtKrZDYX6BVm8qVlqbeGW7XbpgaBfNPm+AUlr9FAg9Ho+D1QJoiANzgR/54HtCIoAmR0gMcns9Vfp8Y5GW5RUoN69QX28rVc/2rZWT7tJlJ7iV1c2lxFgaVwMtRUbnBH2+qdjpMgCEAEJikCnZX2k3rs635xR+v3OvMjonKsft0g2j7cbV8dFcVqCluu6U43TVnJXyeg1dBgA0KdJEgNu1x1NnN5PNhfs1qGuSstNc+t0ZfTSgS5JiImlcDYSK0TW3mZfnFyonPcXhagC0ZITEALO9pEzLNhTWtKMp0K49Hg1Ncynb7dJ9kzKU0TlRkTSuBkLWgcb1f1/8AyERQJMiJDrIGKNNhftrm1bn5hdon6da2TWh8KJhXdW7QwKtLgDUkZYSp/99v9vpMgC0cITEZmSM0Q8799Y2rc7NK5SRUY47Rdlul64+OV092rWiRyGAI7p+9HH6zfw1MsbwfgGgyRASm1C112jtj6W1ex4vzy9UXHS4ctwpOuG4NrpxbE91dcXxJg+gQc7M7KjfzF+jr7aWqn9qotPlAGihCIl+VFnt1Vc1jauX5RVqRX6h2raOVrY7Raf376A7JvRVp6RYp8sEEOSiI+zFav/88Af9Y1qWw9UAaKkIiY1QXlmtNZuLa0Ph6s3F6uKKU47bpXOzUvXnyZlq25qdTAD4X9tW0frvlz86XQaAFoyQ2AD7K6q0cmNRbSj8amuJjmvfWjlul2Yen6ahaS4lxtG4GkDTu250D93x6tdOlwGgBSMkHkFJWaVWbiysbUmzbsce9euUoBx3in45qocGd0tWKxpXA3DAuVmpuuPVr/XDzr3q0a6V0+UAaIFIOAcp2Gs3rj7QkmZjwT4N7Jqk7LQU3XJ6bw2kcTWAABEXZb99P/bRev3l3AEOVwOgJQrpkPhjSXntnse5eYX6sbRcQ7olK9udonsnZqh/50RFRdC4GkBgio0M1/wVWwiJAJpEyIREY4y2FJXVjBIWKDe/UKVllRqa5lJOeoqmZHdVn440rgYQPK4b3UN/efs7p8sA0EK12JBojNH6XftqRgkLtCyvUFVeoxy3Szlul644KV092rZSGKEQQJCaltNNf3n7O20tLlNn2msB8LMWExK9XqO1P+5Rbp49SpibV6joiHDlpLs0vHuKfjWmp7ql0LgaQMuRGGt3U/j3/zbozgn9HK4GQEsTtCGxqtqrr7eV1s4pXJ5fpJT4KOWku3Rq3/b63Rl9lJoc53SZANDknvwkn5AIwO+CJiR6qqr1xRZ7N5OlGwq0alOxUpNjle12adKgVN13Tn+1ax3jdJkA0KyuHdVdjy5e73QZAFqggA2J+yuqtGpTsZbVzCn8ckuJurdrpew0l6YP66ZHpgxSUlyU02UCgKNmHJ+mRxev1+69HrVp9dMOTwV7PXLFRzHFBsAxC5iQWFpeqZX5RbWhcO2Pe9SnY4Jy3C5dfXJ3ZXVLVusYdjMBgIMduIPy57fWKic9RR+u26ml6wu1a69Hf7tgoCYO6uxwhQCClWMhsXBfhd24ekOhcvMLlLdrnzJTk5Ttdummcb00qEuyYqNoXA0AP2eM0YbddveGD9bulCS9uHKL3vxyu/ZXVEuS4qPCxSAigMZo1pBYUlap21/5SsvyCrS9uFyDuyUr2+3SXRP6qX9qoqIjCIUAcCTfbCvV+f/6TNVeI0kqq6yu/diBgChJYWGWUuKjfT4fAOqrWUNi8f5KdUuJ03lDUtW3Y4IiwtnNBAAaIjEuUlVer8orvUd8nTGSK5552wCOXbOmtG4pcbr8xHRlpiYREAHgGHROitWvx/RU7FH2ka/yepXSipAI4NiR1AAgyFx2glsdE4/c8quiyqtkOkAAaARCIgAEmYjwMD104SBFRxz+LTwy3FK/O9/W5H9+Wuf58spq9fz9W0q75U29/PmWOh+b81m+0m55U/OXb26SugEEF0IiAASh/qmJOi8r9bBBMSE2SgNSk7Rmc7H2eqpqn1+RX6SKKns+4yc/FNT5nE/X24+P75HSRFUDCCaERAAIUree0Udxh2kVlhwXqeO7p6jKa5Sb91MY/GT9boWHWRqenqJP1++ufd7rNVq6oUBdXXFsaQpAEiERAIJWfHSE/nJu5iEXsaS0itbxPdpIqjti+OkPu5XROVGn9++g7SXl2rBrryTpm+2lKtpfqRGMIgKoQUgEgCB2at8Oyna79POGEe1bR2tw12TFRIbpkx/sEcPS8kp9ta1UI7qn6Pjudhj8pOYW84FRxeHd2zRf8QACGiERAILcnydnKiq87mhix8RYRUWEaWiaS9/t2KPdez1aur5A1V6jET3aqEe71mqfEK1PawLkJz8UyLJUGx4BgJAIAEGuQ2KMfntar9rbzlHhYWrb2t5tZXj3FBljL0r5dH2BoiLClNUt2f5Yeoo+21AgT1W1lucXqme71mrTil1aANgIiQDQAlw8PE1dXLGS7PY3Bxppj6i5ffzpD7v16frdGtItWTE1YfL4Hm1UvL9Szy7dpP0V1axqBlAHIREAWoDwMEsPXThIMRFh8h60JV//zolKiInQe9/s0LodezWix09zDg/8/z+X/CBJOp75iAAOQkgEgBaiT8cETcnpqrLKaqXE27eNw8Is5aSnqGBfhaS6cw47J8WqW0qcdu+tUHiYpZx0lyN1AwhMhEQAaEF+O663Ljn+p1vPkjSiJhi2jo5QZmpSndcfGD3M6JyohJjIZqsTQOCzjDHNdrKsrCyzcuXKZjsfjs7j8UiSoqOZrB5IuC6BiesSmLgugYnrEpg8Ho9iYmJWGmOGHO21jCQCAADAByERAAAAPgiJAAAA8EFIBAAAgA9CIgAAAHwQEgEAAOCDkAgAAAAfhEQAAAD4ICQCAADAByERAAAAPgiJAAAA8EFIBAAAgA9CIgAAAHwQEgEAAOCDkAgAAAAfhEQAAAD4ICQCAADAByERAAAAPgiJAAAA8EFIBAAAgA9CIgAAAHwQEgEAAOCDkAgAAAAfhEQAAAD4ICQCAADAByERAAAAPgiJAAAA8EFIBAAAgA9CIgAAAHwQEgEAAOCjUSHRsqwHLMtaa1nWF5ZlLbQsK8lPdQEAAMBBjR1JfE9ShjEmU9I6Sbc2viQAAAA4LaIxn2yMefegh0slnXuk13u9Xnk8nsacEn5WUVHhdAk4BK5LYPJ4PLIsy+ky8DP8XglMvI8FpoZcF3/OSbxU0ls/f9KyrCsty1phWdaKgoICP54OAAAATeWoI4mWZS2S1OEQH7rNGPNqzWtuk1Qlae7PX2SMeUzSY5KUlZVloqOjG1UwmgbXJTBxXQIT1yUwcV0CE9cleB01JBpjxhzp45ZlzZA0XtJoY4zxV2EAAABwTqPmJFqWdZqkmyWdbIzZ75+SAAAA4LTGzkn8u6TWkt6zLGu1ZVn/54eaAAAA4LDGrm7u4a9CAAAAEDjYcQUAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4IOQCAAAAB+ERAAAAPggJAIAAMAHIREAAAA+CIkAAADwQUgEAACAD0IiAAAAfBASAQAA4KNRIdGyrHsty/rCsqzVlmW9a1lWJ38VBgAAAOc0diTxAWNMpjFmoKQ3JN3R+JIAAADgtIjGfLIxpvSgh/GSzJFe7/V65fF4GnNK+FlFRYXTJeAQuC6ByePxyLIsp8vAz/B7JTDxPhaYGnJdGhUSJcmyrD9KulhSiaRRh/j4lZKurHnoiYmJ+aqx54TftZG02+ki4IPrEpi4LoGJ6xKYuC6BqVd9XmQZc8TBP1mWtUhSh0N86DZjzKsHve5WSTHGmDuPcKwVxpgh9SkMzYfrEpi4LoGJ6xKYuC6BiesSmOp7XY46kmiMGVPPcz4n6U1Jhw2JAAAACA6NXd183EEPz5K0tnHlAAAAIBA0dk7i/ZZl9ZLklbRR0tVHef1jjTwfmgbXJTBxXQIT1yUwcV0CE9clMNXruhx1TiIAAABCDzuuAAAAwEezh0R2aQlMlmU9YFnW2pprs9CyrCSna4JkWdZ5lmV9bVmW17IsVgg6zLKs0yzL+s6yrB8sy7rF6XogWZb1H8uydlqWRXu1AGJZVhfLshZblvVtzXvYDU7XBMmyrBjLsnIty1pTc13uPuLrm/t2s2VZCQeacFuWdb2kvsaYo81lRBOzLGuspA+MMVWWZf1ZkowxNztcVsizLKuP7Dm//5J0kzFmhcMlhSzLssIlrZN0qqQtkpZLmmKM+cbRwkKcZVknSdor6RljTIbT9cBmWVZHSR2NMZ9bltVa0kpJE/l5cZZl7wYQb4zZa1lWpKSPJd1gjFl6qNc3+0hiQ3dpQfMwxrxrjKmqebhUUqqT9cBmjPnWGPOd03VAkpQt6QdjzAZjTIWkFySd7XBNIc8Y85GkQqfrQF3GmO3GmM9r/n+PpG8ldXa2Khjb3pqHkTV/DpvDHJmTaFnWHy3L2ixpmtjvORBdKuktp4sAAkxnSZsPerxF/NIDjsqyrDRJgyQtc7gUyL4rYlnWakk7Jb1njDnsdWmSkGhZ1iLLsr46xJ+zJckYc5sxpoukuZJ+2RQ1wNfRrkvNa26TVCX72qAZ1Oe6ICAcatNm7oQAR2BZVitJCyT96md3EuEQY0y1MWag7DuG2ZZlHXaaRqP3bj5MAezSEoCOdl0sy5ohabyk0YbeSM2mAT8vcNYWSV0OepwqaZtDtQABr2bO2wJJc40xLztdD+oyxhRblrVE0mmSDrnwy4nVzezSEoAsyzpN0s2SzjLG7He6HiAALZd0nGVZbsuyoiRdKOk1h2sCAlLNAoknJH1rjPmr0/XAZllW2wPdSyzLipU0RkfIYU6sbl4gqc4uLcaYrc1aBHxYlvWDpGhJBTVPLWXVufMsy5ok6RFJbSUVS1ptjBnnaFEhzLKsMyT9TVK4pP8YY/7obEWwLOt5SSMltZG0Q9KdxpgnHC0KsizrBEn/k/Sl7N/3kvQ7Y8x/nasKlmVlSnpa9ntYmKT5xph7Dvt67ioCAADg59hxBQAAAD4IiQAAAPBBSAQAAIAPQiIAAAB8EBIBAADgg5AIAAAAH4REAAAA+Pj/1nhopxUFd/kAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = -0.42\n",
"Hyperplane intersects Zonotope: False\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 0.79\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 2.15\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 1.02\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = -0.29\n",
"Hyperplane intersects Zonotope: False\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 0.15\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = -0.21\n",
"Hyperplane intersects Zonotope: False\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 0.13\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 0.46\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = -0.62\n",
"Hyperplane intersects Zonotope: False\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 1.02\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 1.47\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 1.10\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intersection Score = 0.11\n",
"Hyperplane intersects Zonotope: True\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x864 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = 5\n",
"D = 2\n",
"\n",
"for i in range(15):\n",
" W = np.random.uniform(-.5, .5, (N, D))\n",
" c = np.random.uniform(-1, 1, (1, 2))\n",
" # c = np.zeros((1, 2))\n",
"\n",
" w = np.random.uniform(-1., 1., (1, 2))\n",
" # w = np.array([[1, 1]])\n",
" b = np.random.uniform(-1, 1)\n",
"\n",
" ztope = Zonotope(W.T, c.T)\n",
" hplane = Hyperplane(w.T, b)\n",
"\n",
" intersects = ztope.intersect(hplane)\n",
" print('Hyperplane intersects Zonotope: %s' % intersects)\n",
" fig, ax = plt.subplots(1, 1, figsize=(10, 12))\n",
" ax.set_xlim([-3, 3])\n",
" ax.set_ylim([-3, 3])\n",
" ax.set_aspect('equal')\n",
" ztope.plot(ax)\n",
" hplane.plot(ax)\n",
" ax.text(-2.8, 2.8, 'Hyperplane intersects Zonotope: %s' % intersects)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a2053af5",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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