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\n" }, "metadata": {} } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Define the hyperbolic tangent function\n", "def tanh(x):\n", " return np.tanh(x)\n", "\n", "# Example input vectors (can be extended or modified for actual data)\n", "vec_x_infinity = np.random.rand(2, 10) # Random input vector for A_r\n", "vec_r_infinity = np.random.rand(2, 10) # Random input vector for A_t\n", "delta = 0.1 # small value for partial derivatives, arbitrary here\n", "\n", "# Partial derivatives (assuming 2-dimensional vectors for simplicity)\n", "partial_vec_x = np.gradient(vec_x_infinity, delta, axis=1)\n", "partial_theta = np.gradient(tanh(vec_x_infinity), delta, axis=1)\n", "\n", "# Cross product operations\n", "cross_product_1 = np.cross(partial_vec_x.T, vec_r_infinity.T).T\n", "cross_product_2 = np.cross(partial_theta.T, vec_x_infinity.T).T\n", "\n", "B_r = cross_product_1.T\n", "B_t = cross_product_2.T\n", "\n", "# Combining A and B vectors and applying tanh\n", "C_r = tanh(vec_x_infinity + B_r)\n", "C_t = tanh(vec_r_infinity + B_t)\n", "\n", "# Creating the spherical components\n", "S_r = np.cross(partial_theta.T, vec_x_infinity.T).T\n", "S_t = np.cross(partial_vec_x.T, tanh(vec_x_infinity).T).T\n", "\n", "# Transforming the spherical components\n", "theta_infinity = tanh(S_r + C_r)\n", "theta_t = tanh(S_t + C_t)\n", "\n", "# Visualization setups\n", "fig, axs = plt.subplots(2, 2, figsize=(12, 8))\n", "\n", "# Plotting A_r + B_r and its transformation\n", "axs[0, 0].quiver(vec_x_infinity[0], vec_x_infinity[1], vec_x_infinity[0], vec_x_infinity[1], color='blue', label='$A_r$')\n", "axs[0, 0].quiver(B_r[0], B_r[1], B_r[0], B_r[1], color='red', label='$B_r$')\n", "axs[0, 0].quiver(C_r[0], C_r[1], C_r[0], C_r[1], color='green', label='$C_r = tanh(A_r + B_r)$')\n", "axs[0, 0].set_title('A_r, B_r, and C_r Transformations')\n", "axs[0, 0].legend()\n", "\n", "# Plotting S_r and θ_infinity\n", "axs[0, 1].quiver(S_r[0], S_r[1], S_r[0], S_r[1], color='blue', label='$\\\\mathcal{S}_r$')\n", "axs[0, 1].quiver(theta_infinity[0], theta_infinity[1], theta_infinity[0], theta_infinity[1], color='red', label='$\\\\theta_{\\\\infty} = tanh(\\\\mathcal{S}_r + C_r)$')\n", "axs[0, 1].set_title('S_r and θ_infinity Transformations')\n", "axs[0, 1].legend()\n", "\n", "# Plotting A_t + B_t and its transformation\n", "axs[1, 0].quiver(vec_r_infinity[0], vec_r_infinity[1], vec_r_infinity[0], vec_r_infinity[1], color='blue', label='$A_t$')\n", "axs[1, 0].quiver(B_t[0], B_t[1], B_t[0], B_t[1], color='red', label='$B_t$')\n", "axs[1, 0].quiver(C_t[0], C_t[1], C_t[0], C_t[1], color='green', label='$C_t = tanh(A_t + B_t)$')\n", "axs[1, 0].set_title('A_t, B_t, and C_t Transformations')\n", "axs[1, 0].legend()\n", "\n", "# Plotting S_t and θ_t\n", "axs[1, 1].quiver(S_t[0], S_t[1], S_t[0], S_t[1], color='blue', label='$\\\\mathcal{S}_t$')\n", "axs[1, 1].quiver(theta_t[0], theta_t[1], theta_t[0], theta_t[1], color='red', label='$\\\\theta_t = tanh(\\\\mathcal{S}_t + C_t)$')\n", "axs[1, 1].set_title('S_t and θ_t Transformations')\n", "axs[1, 1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Define the hyperbolic tangent function\n", "def tanh(x):\n", " return np.tanh(x)\n", "\n", "# Example input vectors (can be extended or modified for actual data)\n", "vec_x_infinity = np.random.rand(2, 10) # Random input vector for A_r\n", "vec_r_infinity = np.random.rand(2, 10) # Random input vector for A_t\n", "delta = 0.1 # small value for partial derivatives, arbitrary here\n", "\n", "# Partial derivatives (assuming 2-dimensional vectors for simplicity)\n", "partial_vec_x = np.gradient(vec_x_infinity, delta, axis=1)\n", "partial_theta = np.gradient(tanh(vec_x_infinity), delta, axis=1)\n", "\n", "# Cross product operations\n", "cross_product_1 = np.cross(partial_vec_x.T, vec_r_infinity.T).T\n", "cross_product_2 = np.cross(partial_theta.T, vec_x_infinity.T).T\n", "\n", "B_r = cross_product_1.T\n", "B_t = cross_product_2.T\n", "\n", "# Combining A and B vectors and applying tanh\n", "C_r = tanh(vec_x_infinity + B_r)\n", "C_t = tanh(vec_r_infinity + B_t)\n", "\n", "# Creating the spherical components\n", "S_r = np.cross(partial_theta.T, vec_x_infinity.T).T\n", "S_t = np.cross(partial_vec_x.T, tanh(vec_x_infinity).T).T\n", "\n", "# Transforming the spherical components\n", "theta_infinity = tanh(S_r + C_r)\n", "theta_t = tanh(S_t + C_t)\n", "\n", "# Visualization setups\n", "fig, axs = plt.subplots(2, 2, figsize=(12, 8))\n", "\n", "# Plotting A_r + B_r and its transformation\n", "axs[0, 0].quiver(vec_x_infinity[0], vec_x_infinity[1], vec_x_infinity[0], vec_x_infinity[1], color='blue', label='$A_r$')\n", "axs[0, 0].quiver(B_r[0], B_r[1], B_r[0], B_r[1], color='red', label='$B_r$')\n", "axs[0, 0].quiver(C_r[0], C_r[1], C_r[0], C_r[1], color='green', label='$C_r = tanh(A_r + B_r)$')\n", "axs[0, 0].set_title('A_r, B_r, and C_r Transformations')\n", "axs[0, 0].legend()\n", "\n", "# Plotting S_r and θ_infinity\n", "axs[0, 1].quiver(S_r[0], S_r[1], S_r[0], S_r[1], color='blue', label='$\\\\mathcal{S}_r$')\n", "axs[0, 1].quiver(theta_infinity[0], theta_infinity[1], theta_infinity[0], theta_infinity[1], color='red', label='$\\\\theta_{\\\\infty} = tanh(\\\\mathcal{S}_r + C_r)$')\n", "axs[0, 1].set_title('S_r and θ_infinity Transformations')\n", "axs[0, 1].legend()\n", "\n", "# Plotting A_t + B_t and its transformation\n", "axs[1, 0].quiver(vec_r_infinity[0], vec_r_infinity[1], vec_r_infinity[0], vec_r_infinity[1], color='blue', label='$A_t$')\n", "axs[1, 0].quiver(B_t[0], B_t[1], B_t[0], B_t[1], color='red', label='$B_t$')\n", "axs[1, 0].quiver(C_t[0], C_t[1], C_t[0], C_t[1], color='green', label='$C_t = tanh(A_t + B_t)$')\n", "axs[1, 0].set_title('A_t, B_t, and C_t Transformations')\n", "axs[1, 0].legend()\n", "\n", "# Plotting S_t and θ_t\n", "axs[1, 1].quiver(S_t[0], S_t[1], S_t[0], S_t[1], color='blue', label='$\\\\mathcal{S}_t$')\n", "axs[1, 1].quiver(theta_t[0], theta_t[1], theta_t[0], theta_t[1], color='red', label='$\\\\theta_t = tanh(\\\\mathcal{S}_t + C_t)$')\n", "axs[1, 1].set_title('S_t and θ_t Transformations')\n", "axs[1, 1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 807 }, "id": "XL0TNGLhOEih", "outputId": "0d935cad-ff8c-40a3-e0c9-523ceac1e4c5" }, "execution_count": 2, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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//XfVq1cv1c8TFxenl156Se+8845KlSqlgIAAy/nsaevWrfL09FSNGjUkSfHx8Zo9e7YOHDigZ555JsNjGzRooL/++kvx8YxqdmmnT0utW0sXL95su3pVOnTIeTEBALIlPj5eP/74ox5++GGr9uvXrysgIOCOx+e1POrs2bO6cuWKTp06ZWmLjIzUmTNn7FaUyk4u64gcysNuZ86Dfvr3Jz3y9SOKT7L+C3mj+Rt6pekrTooKAGAv//zzjzZv3qzFixdn2O/QoUPatWuX2rdvn2pf//791aVLlwyPDw0NtXrt5uamU6dOqWjRoqmGhptMJo0dO9byumzZsoqMjNS+ffskmZOpwMBAff311woKCpIktW/fXjNnzrQcExUVpSJFimjhwoUqVqxYmn2OHj2aKi7JnBy2bt1aVatWlSRVq1ZNUVFRVpN9ZnQ/smrbtm1KTEy0JE5Xr15VcHCwVqxYoTp16mR47dDQUCUkJOjMmTMqW7ZsjsWEHBQTIz34oHT7qLtRo6SBA50SEgAg+7Zt26Zr165p+PDheuGFFyztiYmJat68uaT8lUdVqFBBkZGRatq0qfr166fnnntOlSpVsuzP6RzK1lw2vWs7IodipJSNvt37rTou6JiqIPVO5DupClKfbv9UEzZOcGR4AAA72LZtmySl+U3XrZYvX649e/akua9IkSKqWLFihpuHR+rviLZv357mXAVHjx7VwIEDFRYWpsKFC8vPz08LFy5UqVKlJJmTqQ4dOlgSKUk6fPiwKlasaHkdFRWlDh06WBKptPpcu3ZN3t7eVtc+dOiQZs6caTUxaVhYWKqRUhndj9u/8fz999/Vv3//DL/xlMx/F48//riioqIUFRWlDRs2qHLlyurfv7+Sk5MzvLaPj48k3fExPzhJQoL0yCPS7SPuevWS3nrLKSEBAHLG/v37VbBgQe3cudPyGR4VFaVy5cqpSZMmkvJPHiWZi2I//vijRo8erUWLFqlq1aoaM2aMZX9O51C25rLpXdsRORRFKRt8s+cbdVrUSYnJiVbtH7T6QC80ecGqbdneZer7fV89v/J5vbDyBRmG4chQAQA5KOUD2M/PL90+a9eu1auvvqpPPvlEderUUVxcnNX+rAw7l8wJz+3J1Pnz53XPPffo4sWLmjhxotavX6+NGzfKzc3N0nfHjh0KDw9Pda7atWtbvb59joPb+xQrVkyXLl2y6jN06FBdvHhRpUqVkoeHhzw8PPTxxx9bFaXudD/69+9vlZTWr19fY8eOtWpL65vFbdu26d5777UkoOHh4Ro2bJj+/vtvnThxIsNr//fff5JklWDCRSQnS336SKtWWbe3bi3Nnp2tiXUBAM4XExOjYsWKWRWRChQooH///VePPvpovsqjUnh6euqll17S/v371apVK40ePVpRUVF2yaFsyWUl5+ZQPL53Bwt2LVD3Jd2VZCRZtU9pM0UDG1gPJ193dJ0eW/yYkg3zN7bvbXxP0dejNbPdTAEAcp+wsDBJ5nkBbp8LQTJ/CxYREaGaNWtq7ty5aS75m5Vh55K0c+dOPfroo1Zt33//vZKSkvTVV1/J9P+/rE+ZMkWJiYmqXbu2oqOjdeTIEavH2SRzojR48GBJ5gk2Dx06lGEfSapTp47VaisrVqzQhg0btH37dqtvJDdv3qwnn3xSly9fVmBg4B3vR5EiRazmLvDx8VFwcLDVt4u3O3TokC5fvpwq5oMHD8rDw0OBgYGSlO61d+3apVKlSll9owkX8cIL0u2r/tSvLy1aJBUo4JyYAAA5plixYoqOjpZhGJbc5a233tKDDz6oatWqSVK+yKMWLVqkDh06yNPT09IWEBCgiIgILV++XAULFlTt2rVzPIeyJZf18fFxag5lt5FSb731lho3bixfX19LsngnhmHotddeU4kSJeTj46PIyEj9+++/9grxjr7Y8YW6LelmVZAyyaRZD81KVZDacWaH2n3VzurxPjeTm1pVbOWweAEAOSs8PFwPPPCA/ve//+mLL77QgQMHtH//fs2bN0/33nuvDh8+LEk6duxYmsmDlPVh58nJydq3b59OnTql6OhoSVLRokUVExOj7777Tv/++68mTpyoMWPGqGTJkgoKCtLff/8tDw8Py2TgknmY+qVLlyzf3u3YsUPu7u4Z9pGkVq1aaffu3bp06ZISExM1ZMgQPf/886pdu7bCwsIsW4sWLSTdnPTzTvcjK7Zu3SqTyaTg4GCdOXNGBw8e1Jw5czR27FgNGDBA/v7+GV77999/1wMPPJBj8dhbXsihUvnkk9RtH3wgvf++dVvFitKPP0p3+EYXAJA73H///bp+/brefvttHT58WG+++aa+//57TZ8+3dInr+dRklS1alWNHDnSssqfJO3bt09Tp07VuHHjLPNK5XQOZWsum961HZFD2a0olZCQoM6dO6c7w3ta3n33XX300UeaMWOG/vzzTxUsWFCtWrXS9evX7RVmuj7d/ql6LetlGfUkmQtSczrMUd96fa36Hrp0SK2+bKWY+Bir9hltZ+iRqo84JF4AgH18++23Gjx4sN59913VqlVL4eHh+uijj9S6dWtVqVJFJ06cSPMbuux68803NXfuXJUsWVJvvvmmJPOyvE899ZR69Oihe++9VydPnlSXLl2sEqXKlStbzWGwfft2BQYGWpKMqKioO/aRpBo1aqhu3bpauHChpkyZoosXL2rQoEGp4ixdurR8fX0tRSl73I9t27bJMAxVqFBBJUqU0D333KMZM2Zo0qRJmjRpkqVfWte+fv26li1bpr59+yq3yO05VCpHj0r9+0t7995sW7BAGjbMul9wsPTzz+b/AgDyhOLFi2vu3LmaPn26qlevrj/++EPr169X6dKlJdknb5BcK4+SzCOWIiIi9NBDD6lt27Zq166dXnzxRS1YsMCyap+97sWdctn0ru2wHMqwszlz5hgBAQF37JecnGyEhIQY7733nqXt8uXLhpeXl/HVV1/ZfL3o6GhDkhEdHX3HvtcSrxmzt85O1T5j8wxDo2W1uY1xM+b9Pc+4En/Fqu/p2NNGhQ8rpOr/5to3bY4ZAPK6a9euGXv27DGuXbvm7FBy3Pr1641OnTo5Owy7+OGHH4yqVasaSUlJNh/jzPuR1rWnTZtmtGzZ8o7HZvQezUxukZNcOYfKlMGDDUMyjIEDza9XrTKMAgXMbSlbwYKGsWVLzl4XAPII8qjcKbN5VG7MoXIif3KZic4PHz6sM2fOKDIy0tIWEBCghg0batOmTekeFx8fr5iYGKvNVh/9+ZE++OMDq7bJf05W/x/7W7W5m9y14NEF2n9xvxp83EDn4s5JkqKvR6vNvDY6eOmgVf/BDQbrpftesjkOAEDuFRYWpkOHDqlGjRrprpaSW7Vt21b9+vXTyZMnbT7GmfcjrWsXKFBAkydPdmgcjuaMHMpmFy5I06aZ/zx1qvTrr1LHjtItjy/Iw0NaskSyYWUgAEDeQh51U37NoVxmovMzZ85IMg/vu1Xx4sUt+9Iyfvx4qyUUbXXh6gW99ftbiomP0d4Le1WlWBW9v/F9jVg5wqpfAbcCWth5oaLORGnMWvN1mn/WXMu7LVfPpT0VdSbKqv/jYY/rg9YfWCZOAwDkbQEBAdq6dauzw7CbIUOGZKq/M+9HWtd++umnnRKLIzk6h8qUXr2kGzduvm7ZMnWfTz+VctGcXwCAnEMedVN+zaEyNVJq5MiRMplMGW57b50vwAFGjRql6Ohoy3b8+HGbjhu7dqxlDqil/yzV+N/HpypIebp7amnXpVYFKUnac36Pas+orbVH11r1b1WhleZ2nCs3k8sMQAMAAC4gL+VQNvvwQ+mnnzLu8/bbUo8eOXtdAACQa2RqpNTw4cPVu3fvDPvcddddWQokJCREknT27FmVKFHC0n727FmrWexv5+XlJS8vr0xda//F/Zq+5eZs/+PXj1dsQqxVH28Pby3rukybTmyyKkhJkoebhy5dv2TV1qBkAy3uslie7p4CAAC4VV7JoWw2Y4Z0p2+Hn3lGeuEF+1wfAADkCpkqSgUFBSkoKMgugZQvX14hISFatWqVJYGKiYnRn3/+manVZ2wxatUo3Ui+OZT89oKUbwFfLemyRD/9+5M++usjq30F3AooMTnRqq1KsSr68Ykf5efJ8sUAACC1vJJD2WTGDMmW637yibRnj/nRvQceMM8p5e5u//gAAIDLsNtzZseOHVNUVJSOHTumpKQkRUVFKSoqSleuXLH0qVKlipYuXSpJMplMGjJkiN58801999132rlzp3r27KnQ0FB17Ngxx+Jaf2y9lvyzJN39fp5+Wt5tuaZtnpaqIOXp7pmqIFXKv5R+6f6LivkWy7EYAQBA/uWqOZRNbC1ISea5pn7/XXr1VWn0aOnECbuGBgAAXI/dJjp/7bXX9Nlnn1le16lTR5K0evVqNWvWTJK0b98+RUdHW/q88MILiouLU79+/XT58mXde++9+vnnn+Xt7Z0jMRmGoeErhmfYx8/TTy+velnrj6+3avdy91J8UrxVWxGfIvql+y8qE1AmR+IDAABwxRzKJpkpSKUoVco899TDD0ssEgMAQL5jMgzDcHYQOSkmJkYBAQGKjo6Wv7+/1b6vd32tx755LNPn9PbwVmJSopKMJEubbwFfreq5So1KNcp2zACQ112/fl2HDx9W2bJl5evr6+xwgFSuXr2qo0ePqnz58qkKORnlFnlJtn7OzBak3N3Nc06NHi35Mf0BAGSEPAquKifyJ7uNlHI18TfiNXLVyEwfZ5L5W7tbC1Iebh76pss3FKQAwEaenp5yc3PTqVOnFBQUJE9PT5kYFQEXYBiGEhISdP78ebm5ucnTkwVLMi2zBakmTaTp06UaNewXEwDkIeRRcDU5mT/lm6LUlL+m6MjlI5k+zpCh6zeuW7XN7TBXrSu2zqHIACDvc3NzU/ny5XX69GmdOnXK2eEAqfj6+qpMmTJyc7PbdJu5W2KiVKBA6vbMFKSKFpXee0/q1UviPgOAzcij4KpyIn/KF0Wp/679pzd/fzNHzjWp1SR1q9ktR84FAPmJp6enypQpoxs3bigpKenOBwAO4u7uLg8PD751zkijRtKUKVJ4+M22zBSknn5aevttc2EKAJBp5FFwNTmVP+WLotSb697U5euX09zn5+mnKwlX0tx3u0KehRSbEKstp7aobom6cjPxLR8AZIbJZFKBAgVUIK0RFwBc09at0rZt0qhR0po15jZbC1I1a5of1Wvc2K4hAkB+QB6FvCjPV1UO/ndQU/6akqq9sHdhRZaPtLkgJUmxCbF6dfWrumf2PSrxfglN3DRReWyeeAAAAGsPPWT+78aN5v+mV5C69ZckPz9p4kRzQYuCFAAASEeeHyk1atUoJSYnWl4XLFBQw8KHKSEpQe9seCdL5wzwCtCrTV9V//r9GeoPAADyrmXLpDNnzH9OTJSGDpUmTUrdz89PuvL/X/R16iR98IFUqpSjogQAALlUnh4pten4Ji3as8jyumHJhjr03CG5mdxSFaTcTe42nbNP7T7a/+x+DWowSB5ueb6mBwAA8rOePa1fp1WQ8veXunSRKlSQli+XFi2iIAUAAGyS56oqKY/TRUdH67lvn5Mp3mRpu3T5kj5Y84HeXv+21THeHt6pVti7XY3iNTTxgYlqUKqBlCTFxMTY5wcAAAAuJeUzP68/sp/y81lynOnTpdjYjA8qVEjaskX68ktpwwbJx0ciRwIAIN+zNX8yGXkswzpx4oRKly7t7DAAAEAec/z4cZXKwyOAyKEAAEBOu1P+lOeKUsnJyTp16pQKFSpkt/meYmJiVLp0aR0/flz+/v52uUZexv3LHu5f9nEPs4f7lz3cv+xz9D00DEOxsbEKDQ2Vm1venfnA3jkU7/2McX/Sx73JGPcnfdybjHF/0se9yZgt98fW/CnPPb7n5ubmsG8x/f39eYNmA/cve7h/2cc9zB7uX/Zw/7LPkfcwICDAIddxJkflULz3M8b9SR/3JmPcn/RxbzLG/Ukf9yZjd7o/tuRPeffrPgAAAAAAALgsilIAAAAAAABwOIpSWeDl5aXXX39dXl5ezg4lV+L+ZQ/3L/u4h9nD/cse7l/2cQ9zJ/7eMsb9SR/3JmPcn/RxbzLG/Ukf9yZjOXl/8txE5wAAAAAAAHB9jJQCAAAAAACAw1GUAgAAAAAAgMNRlAIAAAAAAIDDUZQCAAAAAACAw1GUyqa33npLjRs3lq+vrwIDA50djsubOnWqypUrJ29vbzVs2FB//fWXs0PKNdatW6d27dopNDRUJpNJy5Ytc3ZIucr48eN1zz33qFChQgoODlbHjh21b98+Z4eVq0yfPl01a9aUv7+//P39FR4eruXLlzs7rFzr7bfflslk0pAhQ5wdSq4wevRomUwmq61KlSrODgtZRP5kjfwobeQ+6SOvyRg5i+3IR6yRb2Ts5MmT6t69u4oWLSofHx/VqFFDW7ZsydY5KUplU0JCgjp37qwBAwY4OxSX9/XXX2vYsGF6/fXXtW3bNtWqVUutWrXSuXPnnB1arhAXF6datWpp6tSpzg4lV1q7dq0GDhyoP/74QytXrlRiYqIeeOABxcXFOTu0XKNUqVJ6++23tXXrVm3ZskX333+/OnTooN27dzs7tFxn8+bNmjlzpmrWrOnsUHKV6tWr6/Tp05Zt/fr1zg4JWUT+dBP5UfrIfdJHXpMxchbbkI+kjXwjbZcuXVKTJk1UoEABLV++XHv27NH777+vwoULZ+/EBnLEnDlzjICAAGeH4dIaNGhgDBw40PI6KSnJCA0NNcaPH+/EqHInScbSpUudHUaudu7cOUOSsXbtWmeHkqsVLlzY+Pjjj50dRq4SGxtrVKpUyVi5cqURERFhPPfcc84OKVd4/fXXjVq1ajk7DOQw8ifyI1uR+2SMvObOyFmskY+kjXwjfS+++KJx77335vh5GSkFh0hISNDWrVsVGRlpaXNzc1NkZKQ2bdrkxMiQX0VHR0uSihQp4uRIcqekpCQtWLBAcXFxCg8Pd3Y4ucrAgQPVtm1bq/8fwjb//vuvQkNDddddd6lbt246duyYs0MCsoX8CDmFvCZ95CxpIx9JH/lG2r777jvVr19fnTt3VnBwsOrUqaPZs2dn+7weORAbcEcXLlxQUlKSihcvbtVevHhx7d2710lRIb9KTk7WkCFD1KRJE4WFhTk7nFxl586dCg8P1/Xr1+Xn56elS5eqWrVqzg4r11iwYIG2bdumzZs3OzuUXKdhw4aaO3euKleurNOnT2vMmDG67777tGvXLhUqVMjZ4QFZQn6EnEBekzZylvSRj6SPfCN9hw4d0vTp0zVs2DC99NJL2rx5swYPHixPT0/16tUry+dlpFQaRo4cmWpys9s3EgUg9xo4cKB27dqlBQsWODuUXKdy5cqKiorSn3/+qQEDBqhXr17as2ePs8PKFY4fP67nnntO8+bNk7e3t7PDyXXatGmjzp07q2bNmmrVqpV++uknXb58WQsXLnR2aPh/5E+Ac5DXpI2cJW3kIxkj30hfcnKy6tatq3HjxqlOnTrqG6zlxgAAA5hJREFU16+f+vbtqxkzZmTrvIyUSsPw4cPVu3fvDPvcddddjgkmjyhWrJjc3d119uxZq/azZ88qJCTESVEhPxo0aJB++OEHrVu3TqVKlXJ2OLmOp6enKlasKEmqV6+eNm/erA8//FAzZ850cmSub+vWrTp37pzq1q1raUtKStK6des0ZcoUxcfHy93d3YkR5i6BgYG6++67deDAAWeHgv9H/pR55EfILvKa9JGzpI18JHPIN24qUaJEqtGGVatW1TfffJOt81KUSkNQUJCCgoKcHUae4unpqXr16mnVqlXq2LGjJHOlddWqVRo0aJBzg0O+YBiGnn32WS1dulRr1qxR+fLlnR1SnpCcnKz4+Hhnh5ErtGjRQjt37rRq69Onj6pUqaIXX3yRBDCTrly5ooMHD6pHjx7ODgX/j/wp88iPkFXkNZlHzmJGPpI55Bs3NWnSRPv27bNq279/v8qWLZut81KUyqZjx47pv//+07Fjx5SUlKSoqChJUsWKFeXn5+fc4FzMsGHD1KtXL9WvX18NGjTQpEmTFBcXpz59+jg7tFzhypUrVhX6w4cPKyoqSkWKFFGZMmWcGFnuMHDgQM2fP1/ffvutChUqpDNnzkiSAgIC5OPj4+TocodRo0apTZs2KlOmjGJjYzV//nytWbNGv/zyi7NDyxUKFSqUaq6PggULqmjRoswBYoMRI0aoXbt2Klu2rE6dOqXXX39d7u7uevzxx50dGrKA/Okm8qP0kfukj7wmY+Qs6SMfyRj5RvqGDh2qxo0ba9y4cerSpYv++usvzZo1S7NmzcreiXN8Pb98plevXoakVNvq1audHZpLmjx5slGmTBnD09PTaNCggfHHH384O6RcY/Xq1Wm+13r16uXs0HKFtO6dJGPOnDnODi3XePLJJ42yZcsanp6eRlBQkNGiRQtjxYoVzg4rV2MJZtt17drVKFGihOHp6WmULFnS6Nq1q3HgwAFnh4UsIn+yRn6UNnKf9JHXZIycJXPIR24i38jY999/b4SFhRleXl5GlSpVjFmzZmX7nCbDMIzslbUAAAAAAACAzGH1PQAAAAAAADgcRSkAAAAAAAA4HEUpAAAAAAAAOBxFKQAAAAAAADgcRSkAAAAAAAA4HEUpAAAAAAAAOBxFKQAAAAAAADgcRSkAAAAAAAA4HEUpAAAAAAAAOBxFKQAAAAAAADgcRSkAAAAAAAA4HEUpAAAAAAAAONz/AX7GkYDZKhC1AAAAAElFTkSuQmCC\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Define the softmax function\n", "def softmax(x):\n", " exp_x = np.exp(x - np.max(x, axis=0, keepdims=True)) # Stability improvement for softmax\n", " return exp_x / np.sum(exp_x, axis=0, keepdims=True)\n", "\n", "# Example input matrix (can be extended or modified for actual data)\n", "mat_z_infinity = np.random.rand(3, 10) # Random input matrix for A_z\n", "delta = 0.1 # small value for partial derivatives, arbitrary here\n", "\n", "# Partial derivatives (assuming 3-dimensional matrix for simplicity)\n", "partial_mat_z = np.gradient(mat_z_infinity, delta, axis=1)\n", "\n", "# Cross product operations need to be defined row-wise for the 3D matrix\n", "cross_product_1 = np.array([np.cross(partial_mat_z[:, i], mat_z_infinity[:, i]) for i in range(mat_z_infinity.shape[1])]).T\n", "cross_product_2 = np.array([np.cross(partial_mat_z[:, i], softmax(mat_z_infinity)[:, i]) for i in range(mat_z_infinity.shape[1])]).T\n", "\n", "B_z = cross_product_1\n", "B_z_softmax = cross_product_2\n", "\n", "# Combining A and B matrices and applying softmax\n", "C_z = softmax(mat_z_infinity + B_z)\n", "C_z_softmax = softmax(mat_z_infinity + B_z_softmax)\n", "\n", "# Transformation matrices\n", "Z = np.arange(12).reshape(4, 3)\n", "T = np.arange(9).reshape(3, 3)\n", "\n", "# Transforming the matrices: need to ensure Z and T have compatible shapes for addition\n", "# Slicing Z to ensure it matches T's shape for addition\n", "Z_tilde = softmax(Z[:3, :] + T)\n", "# Adjusting matrix multiplication shapes\n", "T_tilde = np.dot(softmax(Z[:3, :]).T, T)\n", "\n", "# Visualization setups\n", "fig, axs = plt.subplots(2, 2, figsize=(12, 8))\n", "\n", "# Plotting A_z + B_z and its transformation\n", "axs[0, 0].quiver(mat_z_infinity[0], mat_z_infinity[1], color='blue', angles='xy', scale_units='xy', scale=1, label='$A_z$')\n", "axs[0, 0].quiver(B_z[0], B_z[1], color='red', angles='xy', scale_units='xy', scale=1, label='$B_z$')\n", "axs[0, 0].quiver(C_z[0], C_z[1], color='green', angles='xy', scale_units='xy', scale=1, label='$C_z = softmax(A_z + B_z)$')\n", "axs[0, 0].set_title('A_z, B_z, and C_z Transformations')\n", "axs[0, 0].legend()\n", "\n", "# Plotting A_z + B_z and its softmax transformation\n", "axs[0, 1].quiver(mat_z_infinity[0], mat_z_infinity[1], color='blue', angles='xy', scale_units='xy', scale=1, label='$A_z$')\n", "axs[0, 1].quiver(B_z_softmax[0], B_z_softmax[1], color='red', angles='xy', scale_units='xy', scale=1, label='$B_z$')\n", "axs[0, 1].quiver(C_z_softmax[0], C_z_softmax[1], color='green', angles='xy', scale_units='xy', scale=1, label='$C_z = softmax(A_z + B_z)$')\n", "axs[0, 1].set_title('A_z, B_z, and C_z Softmax Transformations')\n", "axs[0, 1].legend()\n", "\n", "# Plotting Z and Z_tilde\n", "axs[1, 0].quiver(Z[:, 0], Z[:, 1], color='blue', angles='xy', scale_units='xy', scale=1, label='$Z$')\n", "axs[1, 0].quiver(T[:, 0], T[:, 1], color='red', angles='xy', scale_units='xy', scale=1, label='$T$')\n", "axs[1, 0].quiver(Z_tilde[:, 0], Z_tilde[:, 1], color='green', angles='xy', scale_units='xy', scale=1, label='$Z_{\\\\tilde{t}} = softmax(Z + T)$')\n", "axs[1, 0].set_title('Z, T, and Z_tilde Transformations')\n", "axs[1, 0].legend()\n", "\n", "# Plotting Z and T_tilde\n", "axs[1, 1].quiver(Z[:, 0], Z[:, 1], color='blue', angles='xy', scale_units='xy', scale=1, label='$Z$')\n", "axs[1, 1].quiver(T[:, 0], T[:, 1], color='red', angles='xy', scale_units='xy', scale=1, label='$T$')\n", "if T_tilde.shape == T.shape:\n", " axs[1, 1].quiver(T_tilde[:, 0], T_tilde[:, 1], color='green', angles='xy', scale_units='xy', scale=1, label='$T_{\\\\tilde{t}} = softmax(Z)^T \\\\cdot T$')\n", "axs[1, 1].set_title('Z, T, and T_tilde Transformations')\n", "axs[1, 1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 807 }, "id": "_JfbH5mlN8vd", "outputId": "9829ee2a-c747-479a-ff83-ffb462bb7542" }, "execution_count": 6, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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}, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import sympy as sp\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.patches as patches\n", "import networkx as nx\n", "from matplotlib.cm import viridis\n", "\n", "# Define symbolic variables for tensor operations\n", "lambda_symbol, phi_m, k_i, alpha_i, a_i, delta_a_i, x_i = sp.symbols('lambda phi_m k_i alpha_i a_i delta_a_i x_i')\n", "psi_diamond, theta = sp.symbols('psi_diamond theta')\n", "\n", "# Placeholder functions for tensor product and tensor integral\n", "def tensor_product(a_i, delta_a_i):\n", " return a_i * delta_a_i\n", "\n", "def tensor_integral(k_i, alpha_i, a_i, delta_a_i):\n", " return k_i * (alpha_i + 1) * (a_i + delta_a_i)\n", "\n", "# Function for tensor field computation based on tensor integral and product\n", "def tensor_field_function(alpha_i, psi_diamond, a_i, delta_a_i, theta):\n", " tensor_int = tensor_integral(1, alpha_i, a_i, delta_a_i) # Using k_i=1 for simplicity\n", " return tensor_int * sp.cos(theta)\n", "\n", "# Create the logic graph for visualization\n", "def create_logic_graph():\n", " G = nx.DiGraph()\n", " G.add_edge('x', 'subset')\n", " G.add_edge('and', 'subset')\n", " G.add_edge('and', 'implies')\n", " G.add_edge('or', 'subset')\n", " G.add_edge('or', 'not')\n", " G.add_edge('implies', 'x')\n", " G.add_edge('not', 'and')\n", " return G\n", "\n", "# Function to visualize the tensor field and logic graph\n", "def visualize_tensor_fields_and_logic_graph(ax, field_function, logic_graph, field_params):\n", " # Draw tensor fields (circles)\n", " main_tensor = patches.Circle((0, 0), 1, color='blue', label='Main Tensor')\n", " aux_tensor = patches.Circle((2, 2), 0.5, color='red', label='Auxiliary Tensor')\n", " ax.add_patch(main_tensor)\n", " ax.add_patch(aux_tensor)\n", "\n", " # Draw the logic graph nodes and edges\n", " pos = nx.spring_layout(logic_graph)\n", " nx.draw_networkx_nodes(logic_graph, pos, ax=ax, node_size=300, node_color='lightblue')\n", " nx.draw_networkx_edges(logic_graph, pos, ax=ax)\n", " nx.draw_networkx_labels(logic_graph, pos, ax=ax, font_size=10)\n", "\n", " # Generate meshgrid for vector field\n", " x_range = np.linspace(-3, 3, 20)\n", " y_range = np.linspace(-3, 3, 20)\n", " X, Y = np.meshgrid(x_range, y_range)\n", "\n", " # Apply symbolic field to meshgrid points\n", " field_func_np = sp.lambdify([alpha_i, psi_diamond, a_i, delta_a_i, theta], field_function, 'numpy')\n", " Z = field_func_np(field_params[alpha_i], field_params[psi_diamond], field_params[a_i],\n", " field_params[delta_a_i], X)\n", "\n", " # Draw vector field (quiver plot)\n", " U, V = np.gradient(Z)\n", " ax.quiver(X, Y, U, V, angles='xy', scale_units='xy', color='green')\n", "\n", " # Set plot properties\n", " ax.set_xlim(-3, 3)\n", " ax.set_ylim(-3, 3)\n", " ax.set_aspect('equal')\n", " ax.legend()\n", " ax.grid(True)\n", "\n", "# Define the logic graph\n", "logic_graph = create_logic_graph()\n", "\n", "# Prepare plot\n", "fig, ax = plt.subplots(figsize=(8, 8))\n", "visualization_params = {\n", " alpha_i: 2,\n", " a_i: 1,\n", " delta_a_i: 0.5,\n", " psi_diamond: 1,\n", " theta: np.pi / 4,\n", " k_i: 1,\n", " lambda_symbol: 1,\n", " phi_m: 1,\n", " x_i: 1\n", "}\n", "\n", "# Define tensor field as an example\n", "tensor_field = tensor_field_function(alpha_i, psi_diamond, a_i, delta_a_i, theta)\n", "\n", "# Visualize tensor fields and logic graph\n", "visualize_tensor_fields_and_logic_graph(ax, tensor_field, logic_graph, visualization_params)\n", "\n", "# Show plot\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 653 }, "id": "CO-s9G_WRsyx", "outputId": "4b611c4e-35ea-480b-f8d9-f6b76b156157" }, "execution_count": 7, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "\n", "### Program 1: Symbolic Tensor Integration and Visualization on Trajectories" ], "metadata": { "id": "F1wOmALcSHjw" } }, { "cell_type": "code", "source": [ "import sympy as sp\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Define symbolic variables\n", "t, x, y, theta = sp.symbols('t x y theta')\n", "k, alpha, a, delta_a = sp.symbols('k alpha a delta_a')\n", "\n", "# Define tensor function and perform symbolic integration\n", "integrand = k * (alpha + 1) * (a + delta_a)\n", "integral_result = sp.integrate(integrand * sp.DiracDelta(alpha - theta), (alpha, -sp.oo, sp.oo))\n", "\n", "# Define symbolic trajectory for visualization\n", "trajectory_x = sp.sin(t) * sp.cos(theta)\n", "trajectory_y = sp.cos(t) * sp.sin(theta)\n", "\n", "# Convert sympy expressions to functions\n", "trajectory_x_func = sp.lambdify((t, theta), trajectory_x, 'numpy')\n", "trajectory_y_func = sp.lambdify((t, theta), trajectory_y, 'numpy')\n", "\n", "# Visualize the tensor-integrated trajectories\n", "fig, ax = plt.subplots()\n", "t_values = np.linspace(0, 2*np.pi, 100)\n", "theta_value = np.pi / 4\n", "X = trajectory_x_func(t_values, theta_value)\n", "Y = trajectory_y_func(t_values, theta_value)\n", "\n", "ax.plot(X, Y, label='Trajectory')\n", "ax.quiver(X, Y, np.gradient(X), np.gradient(Y), scale=50, color='red', label='Vector Field')\n", "\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.legend()\n", "plt.show()\n", "\n", "print(f\"Integral result: {integral_result}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 466 }, "id": "d2iEtRp1SG21", "outputId": "3e791f36-3382-415f-9d9f-a5814f894a1e" }, "execution_count": 8, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Integral result: k*(a + delta_a)*(theta + 1)\n" ] } ] }, { "cell_type": "markdown", "source": [ "### Program 2: Cross Product Tensor Field and Softmax Transformation" ], "metadata": { "id": "0RDXrIsbSSeh" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Define the softmax function\n", "def softmax(x):\n", " exp_x = np.exp(x - np.max(x, axis=0, keepdims=True)) # Stability improvement for softmax\n", " return exp_x / np.sum(exp_x, axis=0, keepdims=True)\n", "\n", "# Example input matrix (can be extended or modified for actual data)\n", "mat_z_infinity = np.random.rand(3, 10) # Random input matrix for A_z\n", "delta = 0.1 # small value for partial derivatives, arbitrary here\n", "\n", "# Partial derivatives (assuming 3-dimensional matrix for simplicity)\n", "partial_mat_z = np.gradient(mat_z_infinity, delta, axis=1)\n", "\n", "# Cross product operations need to be defined row-wise for the 3D matrix\n", "cross_product_1 = np.array([np.cross(partial_mat_z[:, i], mat_z_infinity[:, i]) for i in range(mat_z_infinity.shape[1])]).T\n", "cross_product_2 = np.array([np.cross(partial_mat_z[:, i], softmax(mat_z_infinity)[:, i]) for i in range(mat_z_infinity.shape[1])]).T\n", "\n", "B_z = cross_product_1\n", "B_z_softmax = cross_product_2\n", "\n", "# Combining A and B matrices and applying softmax\n", "C_z = softmax(mat_z_infinity + B_z)\n", "C_z_softmax = softmax(mat_z_infinity + B_z_softmax)\n", "\n", "# Visualization setups\n", "fig, axs = plt.subplots(2, 1, figsize=(12, 8))\n", "\n", "# Plotting A_z + B_z and its transformation\n", "axs[0].quiver(mat_z_infinity[0], mat_z_infinity[1], color='blue', angles='xy', scale_units='xy', scale=1, label='$A_z$')\n", "axs[0].quiver(B_z[0], B_z[1], color='red', angles='xy', scale_units='xy', scale=1, label='$B_z$')\n", "axs[0].quiver(C_z[0], C_z[1], color='green', angles='xy', scale_units='xy', scale=1, label='$C_z = softmax(A_z + B_z)$')\n", "axs[0].set_title('A_z, B_z, and C_z Transformations')\n", "axs[0].legend()\n", "\n", "# Plotting A_z + B_z and its softmax transformation\n", "axs[1].quiver(mat_z_infinity[0], mat_z_infinity[1], color='blue', angles='xy', scale_units='xy', scale=1, label='$A_z$')\n", "axs[1].quiver(B_z_softmax[0], B_z_softmax[1], color='red', angles='xy', scale_units='xy', scale=1, label='$B_z$')\n", "axs[1].quiver(C_z_softmax[0], C_z_softmax[1], color='green', angles='xy', scale_units='xy', scale=1, label='$C_z = softmax(A_z + B_z)$')\n", "axs[1].set_title('A_z, B_z, and C_z Softmax Transformations')\n", "axs[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 807 }, "id": "C0acle7CSPMm", "outputId": "cc70e0b4-1cec-4f29-b063-134bb20104f2" }, "execution_count": 9, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "### Program 3: Tensor Visualization on Logic Graph Nodes" ], "metadata": { "id": "Q2eH8rWISXZG" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "import numpy as np\n", "import cmath\n", "\n", "# Placeholder function for tensor product\n", "def tensor_product(a_i, delta_a_i):\n", " return a_i * delta_a_i\n", "\n", "# Placeholder function for tensor field\n", "# Returns a complex vector field based on tensor product results and theta input\n", "def tensor_field_function(A, a_i, delta_a_i, theta):\n", " T = tensor_product(a_i, delta_a_i)\n", " return np.array([cmath.exp(T) * np.cos(theta), cmath.exp(T) * np.sin(theta)])\n", "\n", "# Function to create logic graph\n", "def create_logic_graph():\n", " G = nx.DiGraph()\n", " G.add_edge('pi1', 'A1')\n", " G.add_edge('pi2', 'A2')\n", " G.add_edge('pi3', 'A3')\n", " G.add_edge('A1', 'B1')\n", " G.add_edge('A2', 'B2')\n", " G.add_edge('A3', 'B3')\n", " return G\n", "\n", "# Function to visualize the graph and tensor field\n", "def visualize_field_and_graph(G, field_function, ax):\n", " pos = nx.spring_layout(G) # Get positions for graph layout\n", " nx.draw_networkx_nodes(G, pos, ax=ax, node_size=700, node_color='lightblue')\n", " nx.draw_networkx_edges(G, pos, ax=ax)\n", " nx.draw_networkx_labels(G, pos, ax=ax, font_size=10)\n", "\n", " # Quiver plot using placeholder values\n", " for node in pos:\n", " vector_val = field_function(1, 1, 0.5, np.pi / 4) # Arbitrary values for demonstration\n", " ax.quiver(pos[node][0], pos[node][1], vector_val[0].real, vector_val[1].real, scale=20, color='red')\n", "\n", "# Create the logic graph\n", "G_logic = create_logic_graph()\n", "\n", "# Prepare figure and axis for visualization\n", "fig, ax = plt.subplots(figsize=(10, 8))\n", "ax.set_aspect('equal')\n", "\n", "# Visualize the logic graph and tensor field\n", "visualize_field_and_graph(G_logic, tensor_field_function, ax)\n", "\n", "# Display the plot\n", "ax.set_xlim(-1.5, 1.5)\n", "ax.set_ylim(-1.5, 1.5)\n", "plt.axis('off') # Turn off the axis\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 653 }, "id": "qEDcswsWSZG-", "outputId": "fbc3daf1-5cc1-4229-e33f-7aed7566dc87" }, "execution_count": 10, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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}, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import sympy as sp\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "from matplotlib.cm import viridis\n", "\n", "# Define symbolic variables\n", "lambda_symbol, phi_m, k, alpha, a, delta_a, x, y, z = sp.symbols('lambda phi_m k alpha a delta_a x y z')\n", "theta, psi_diamond = sp.symbols('theta psi_diamond')\n", "\n", "# Example tensor components using symbolic variables\n", "tensor_field = sp.Matrix([[2 * x * y, 2 * x + y], [2 * x + y, x ** 2 + y ** 2]])\n", "\n", "# Tensor products and integrals (placeholders due to complexity of real tensor integrations)\n", "integrand = k * (alpha + 1) * (a + delta_a)\n", "integral_result = sp.integrate(integrand, (alpha, 0, 2 * sp.pi))\n", "\n", "# Functions for hyperbolic tangent and softmax\n", "def tanh(x):\n", " return np.tanh(x)\n", "\n", "def softmax(x):\n", " exp_x = np.exp(x - np.max(x, axis=0, keepdims=True))\n", " return exp_x / np.sum(exp_x, axis=0, keepdims=True)\n", "\n", "# Placeholder function for the tensor field transformation (actual transformations are domain specific)\n", "def tensor_field_function(theta, k, a, delta_a):\n", " T = np.array([np.cos(theta), np.sin(theta)])\n", " return T * (a + delta_a)\n", "\n", "# Create a logic graph inspired by earlier code\n", "def create_logic_graph():\n", " G = nx.DiGraph()\n", " G.add_edge('x', 'subset')\n", " G.add_edge('and', 'subset')\n", " G.add_edge('and', 'implies')\n", " G.add_edge('or', 'subset')\n", " G.add_edge('or', 'not')\n", " G.add_edge('implies', 'x')\n", " G.add_edge('not', 'and')\n", " return G\n", "\n", "# Visualize the tensor field with the logic graph for each node\n", "def visualize_field_and_graph(G, field_function, ax):\n", " pos = nx.spring_layout(G) # Get positions for graph layout\n", " nx.draw_networkx_nodes(G, pos, ax=ax, node_size=700, node_color='lightblue')\n", " nx.draw_networkx_edges(G, pos, ax=ax)\n", " nx.draw_networkx_labels(G, pos, ax=ax, font_size=10)\n", "\n", " # Quiver plot, using placeholder values\n", " for node in pos:\n", " vector_val = field_function(np.pi/4, 1, 1, 0.5) # Using arbitrary values for demonstration\n", " ax.quiver(pos[node][0], pos[node][1], vector_val[0], vector_val[1], scale=20, color='red')\n", "\n", "# Transform symbolic tensor fields and logic graphs\n", "integral_result_numeric = integral_result.evalf(subs={k:1, a:1, delta_a:0.1})\n", "\n", "# Transformation matrices (using softmax and tanh)\n", "mat_z_infinity = np.random.rand(3, 10)\n", "partial_mat_z = np.gradient(mat_z_infinity, 0.1, axis=1)\n", "cross_product_1 = np.array([np.cross(partial_mat_z[:, i], mat_z_infinity[:, i]) for i in range(mat_z_infinity.shape[1])]).T\n", "B_z = cross_product_1\n", "C_z = softmax(mat_z_infinity + B_z) # Using softmax for transformation\n", "\n", "# Plotting combined visualizations\n", "fig, axs = plt.subplots(2, 2, figsize=(12, 8))\n", "\n", "# Plotting tensor fields and transformations\n", "axs[0, 0].quiver(mat_z_infinity[0], mat_z_infinity[1], color='blue', angles='xy', scale_units='xy', scale=1, label='$A_z$')\n", "axs[0, 0].quiver(B_z[0], B_z[1], color='red', angles='xy', scale_units='xy', scale=1, label='$B_z$')\n", "axs[0, 0].quiver(C_z[0], C_z[1], color='green', angles='xy', scale_units='xy', scale=1, label='$C_z = softmax(A_z + B_z)$')\n", "axs[0, 0].set_title('A_z, B_z, and C_z Transformations')\n", "axs[0, 0].legend()\n", "\n", "# Create and visualize logic graph in a sub-plot\n", "G_logic = create_logic_graph()\n", "visualize_field_and_graph(G_logic, tensor_field_function, axs[0, 1])\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# Numerical evaluations of symbolic results\n", "example_params = {\n", " lambda_symbol: 1, phi_m: 1, k: 1, alpha: 1, a: 1, delta_a: 0.1,\n", " x: 1, y: 1, z: 1, theta: np.pi/4, psi_diamond: 0.5\n", "}\n", "\n", "scalar_field_expr = integral_result * sp.cos(theta)\n", "scalar_field_val = scalar_field_expr.subs(example_params).evalf()\n", "\n", "print(f\"Scalar field value: {scalar_field_val}\")\n", "\n", "# Visualize the scalar field resulting from tensor operations\n", "fig, ax = plt.subplots(figsize=(6, 6))\n", "\n", "# Create data for quiver plot\n", "Y, X = np.mgrid[-3:3:20j, -3:3:20j]\n", "U, V = np.gradient(X + Y)\n", "\n", "ax.quiver(X, Y, U, V, scale=70, color='blue', angles='xy')\n", "ax.set_title('Scalar Field Visualization')\n", "\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "bLNo-pZvSs33", "outputId": "27ac6857-ea66-493b-bac8-6435b928717f" }, "execution_count": 11, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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}, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Scalar field value: 20.2406724711797\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import sympy as sp\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "from matplotlib.cm import viridis\n", "\n", "# Define symbolic variables\n", "a, b, c, d, e, f, g, h, j = sp.symbols('a b c d e f g h j') # Removed redundant 'i'\n", "\n", "# Example matrix using symbolic variables\n", "matrix = sp.Matrix([[a + b, c + d], [e + f, g + h]])\n", "\n", "# Functions for sigmoid and ReLU\n", "def sigmoid(x):\n", " return 1 / (1 + np.exp(-x))\n", "\n", "def relu(x):\n", " return np.maximum(0, x)\n", "\n", "# Placeholder function for matrix transformation (actual transformations are domain specific)\n", "def matrix_function(matrix, values):\n", " matrix_num = np.array(matrix.subs(values)).astype(np.float64)\n", " return matrix_num\n", "\n", "# Create a logic graph inspired by earlier code\n", "def create_logic_graph():\n", " G = nx.DiGraph()\n", " G.add_edge('x', 'subset')\n", " G.add_edge('and', 'subset')\n", " G.add_edge('and', 'implies')\n", " G.add_edge('or', 'subset')\n", " G.add_edge('or', 'not')\n", " G.add_edge('implies', 'x')\n", " G.add_edge('not', 'and')\n", " return G\n", "\n", "# Visualize the matrix with the logic graph for each node\n", "def visualize_matrix_and_graph(G, matrix_function, ax, values):\n", " pos = nx.spring_layout(G) # Get positions for graph layout\n", " nx.draw_networkx_edges(G, pos, ax=ax)\n", " nx.draw_networkx_labels(G, pos, ax=ax, font_size=10)\n", "\n", " # Get the numerical matrix\n", " matrix_num = matrix_function(matrix, values)\n", " node_values = matrix_num.flatten() # flatten to simplify assignment\n", "\n", " # Ensure node values match the number of graph nodes\n", " node_color_map = {node: node_values[i % len(node_values)] for i, node in enumerate(G.nodes())}\n", "\n", " # Creating color array for nodes\n", " node_colors = [node_color_map[node] for node in G.nodes()]\n", "\n", " nodes = nx.draw_networkx_nodes(G, pos, ax=ax, node_size=700, node_color=node_colors, cmap=viridis)\n", "\n", " # Colorbar for visualizing matrix values\n", " plt.colorbar(nodes, ax=ax, fraction=0.046, pad=0.04)\n", "\n", "# Define example parameter values for symbolic substitution\n", "example_values = {\n", " a: 1, b: 2, c: 3, d: 4, e: 5, f: 6, g: 7, h: 8\n", "}\n", "\n", "# Apply matrix_function to the symbolic matrix\n", "matrix_transform = matrix_function(matrix, example_values)\n", "\n", "# Plotting combined visualizations\n", "fig, axs = plt.subplots(2, 2, figsize=(12, 8))\n", "\n", "# Plotting matrix and transformation\n", "original_matrix_num = np.array(matrix.subs(example_values)).astype(np.float64)\n", "axs[0, 0].imshow(original_matrix_num, cmap=viridis)\n", "axs[0, 0].set_title('Original Matrix Values')\n", "\n", "# Heatmap for transformed matrix\n", "axs[0, 1].imshow(matrix_transform, cmap=viridis)\n", "axs[0, 1].set_title('Transformed Matrix Values')\n", "\n", "# Create and visualize logic graph in another sub-plot\n", "G_logic = create_logic_graph()\n", "visualize_matrix_and_graph(G_logic, matrix_function, axs[1, 0], example_values)\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# Numerical evaluations of symbolic results\n", "matrix_val = original_matrix_num\n", "matrix_transform_val = matrix_transform\n", "\n", "print(f\"Original Matrix value: \\n{matrix_val}\")\n", "print(f\"Transformed Matrix value: \\n{matrix_transform_val}\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 911 }, "id": "_c8zi0v5S4G0", "outputId": "7d671fda-5016-4d68-fa2a-166f79426dfa" }, "execution_count": 15, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Original Matrix value: \n", "[[ 3. 7.]\n", " [11. 15.]]\n", "Transformed Matrix value: \n", "[[ 3. 7.]\n", " [11. 15.]]\n" ] } ] }, { "cell_type": "code", "source": [ "import sympy as sp\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "from matplotlib.cm import viridis\n", "\n", "# Define symbolic variables for integration and tensor calculations\n", "x_i, eta, beta_GammaDelta, psi_diamond, omega = sp.symbols('x_i eta beta_GammaDelta psi_diamond omega')\n", "lambda_symbol, phi_m, k_i, alpha_i, a_i, delta_a_i = sp.symbols('lambda phi_m k_i alpha_i a_i delta_a_i')\n", "\n", "# Example symbolic integral\n", "integrand = k_i * (alpha_i * omega + 1) * x_i ** (alpha_i * omega) * (a_i + delta_a_i)\n", "integral_result = sp.integrate(integrand * sp.DiracDelta(omega - psi_diamond), (omega, -sp.oo, sp.oo))\n", "\n", "# Define softmax and tanh functions for transformations\n", "def softmax(x):\n", " exp_x = np.exp(x - np.max(x, axis=0, keepdims=True)) # Stability improvement for softmax\n", " return exp_x / np.sum(exp_x, axis=0, keepdims=True)\n", "\n", "def tanh(x):\n", " return np.tanh(x)\n", "\n", "# Placeholder for tensor field using complex transformations\n", "alpha, a, delta_a = sp.symbols('alpha a delta_a')\n", "theta = sp.symbols('theta')\n", "tensor_field_func = lambda theta: sp.Matrix([sp.sin(theta), sp.cos(theta), 0])\n", "\n", "# Create a logic graph\n", "def create_logic_graph():\n", " G = nx.DiGraph()\n", " G.add_edge('pi', 'and')\n", " G.add_edge('lte', 'tensor')\n", " G.add_edge('predicate', 'lte')\n", " G.add_edge('and', 'implies')\n", " G.add_edge('or', 'subset')\n", " G.add_edge('or', 'not')\n", " G.add_edge('implies', 'pi')\n", " G.add_edge('not', 'and')\n", " return G\n", "\n", "# Visualize tensor field and logic graph\n", "def visualize_field_and_graph(G, tensor_field_func, ax):\n", " pos = nx.spring_layout(G)\n", " nx.draw_networkx_nodes(G, pos, ax=ax, node_size=700, node_color='lightblue')\n", " nx.draw_networkx_edges(G, pos, ax=ax)\n", " nx.draw_networkx_labels(G, pos, ax=ax, font_size=10)\n", "\n", " # Generate a quiver plot\n", " x = np.linspace(-2, 2, 10)\n", " y = np.linspace(-2, 2, 10)\n", " X, Y = np.meshgrid(x, y)\n", " U, V = np.vectorize(lambda t: tensor_field_func(t)[0])(np.pi/4), np.vectorize(lambda t: tensor_field_func(t)[1])(np.pi/4)\n", " U = U.astype(float) # Convert symbolic to float\n", " V = V.astype(float) # Convert symbolic to float\n", "\n", " ax.quiver(X, Y, U, V, color=viridis(0.5))\n", "\n", "# Create logic graph\n", "logic_graph = create_logic_graph()\n", "\n", "# Prepare for visualization\n", "fig, ax = plt.subplots(figsize=(10, 8))\n", "visualize_field_and_graph(logic_graph, tensor_field_func, ax)\n", "plt.axis('off')\n", "plt.show()\n", "\n", "# Combine transformations from Mina and Trajectron\n", "vec_x_infinity = np.random.rand(2, 10)\n", "vec_r_infinity = np.random.rand(2, 10)\n", "delta = 0.1\n", "\n", "# Partial derivatives\n", "partial_vec_x = np.gradient(vec_x_infinity, delta, axis=1)\n", "partial_theta = np.gradient(tanh(vec_x_infinity), delta, axis=1)\n", "\n", "# Cross product operations and transformations\n", "cross_product_1 = np.cross(partial_vec_x.T, vec_r_infinity.T).T\n", "cross_product_2 = np.cross(partial_theta.T, vec_x_infinity.T).T\n", "\n", "B_r = cross_product_1.T\n", "B_t = cross_product_2.T\n", "\n", "C_r = tanh(vec_x_infinity + B_r)\n", "C_t = tanh(vec_r_infinity + B_t)\n", "\n", "S_r = np.cross(partial_theta.T, vec_x_infinity.T).T\n", "S_t = np.cross(partial_vec_x.T, tanh(vec_x_infinity).T).T\n", "\n", "theta_infinity = tanh(S_r + C_r)\n", "theta_t = tanh(S_t + C_t)\n", "\n", "# Visualization setups\n", "fig, axs = plt.subplots(2, 2, figsize=(12, 8))\n", "\n", "# Plotting A_r + B_r and its transformation\n", "axs[0, 0].quiver(vec_x_infinity[0], vec_x_infinity[1], color='blue', scale=50, angles='xy', scale_units='xy', label='$A_r$')\n", "axs[0, 0].quiver(B_r[0], B_r[1], color='red', scale=50, angles='xy', scale_units='xy', label='$B_r$')\n", "axs[0, 0].quiver(C_r[0], C_r[1], color='green', scale=50, angles='xy', scale_units='xy', label='$C_r = tanh(A_r + B_r)$')\n", "axs[0, 0].set_title('A_r, B_r, and C_r Transformations')\n", "axs[0, 0].legend()\n", "\n", "# Plotting S_r and θ_infinity\n", "axs[0, 1].quiver(S_r[0], S_r[1], color='blue', scale=50, angles='xy', scale_units='xy', label='$\\\\mathcal{S}_r$')\n", "axs[0, 1].quiver(theta_infinity[0], theta_infinity[1], color='red', scale=50, angles='xy', scale_units='xy', label='$\\\\theta_{\\\\infty} = tanh(\\\\mathcal{S}_r + C_r)$')\n", "axs[0, 1].set_title('S_r and θ_infinity Transformations')\n", "axs[0, 1].legend()\n", "\n", "# Plotting A_t + B_t and its transformation\n", "axs[1, 0].quiver(vec_r_infinity[0], vec_r_infinity[1], color='blue', scale=50, angles='xy', scale_units='xy', label='$A_t$')\n", "axs[1, 0].quiver(B_t[0], B_t[1], color='red', scale=50, angles='xy', scale_units='xy', label='$B_t$')\n", "axs[1, 0].quiver(C_t[0], C_t[1], color='green', scale=50, angles='xy', scale_units='xy', label='$C_t = tanh(A_t + B_t)$')\n", "axs[1, 0].set_title('A_t, B_t, and C_t Transformations')\n", "axs[1, 0].legend()\n", "\n", "# Plotting S_t and θ_t\n", "axs[1, 1].quiver(S_t[0], S_t[1], color='blue', scale=50, angles='xy', scale_units='xy', label='$\\\\mathcal{S}_t$')\n", "axs[1, 1].quiver(theta_t[0], theta_t[1], color='red', scale=50, angles='xy', scale_units='xy', label='$\\\\theta_t = tanh(\\\\mathcal{S}_t + C_t)$')\n", "axs[1, 1].set_title('S_t and θ_t Transformations')\n", "axs[1, 1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "Bl4jC05dzhIL", "outputId": "b4c43fe7-e833-46eb-ce41-40027ab06574" }, "execution_count": 18, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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HDtimDRw40CjsNCXJeOWVV2zPe/fubYSEhBh79uyxTTt8+LBRvnx5o2PHjgU+l4SEBLv/W0899ZQRGBhonD592jAMw/juu+8KfH4AUJYsWrTICAwMNAIDA422bdsazz33nLFw4UIjKyurxOsq6pzijLPzxKpVqwxJxueff26bVtxj+tGjR42QkBCjZ8+edss9//zzhiTjgQceKDKehISEQttqkoynnnqqWNtlGBfaaflJMkJCQozdu3fbpuW1fcaNG2ebtnTpUkOSMWPGDJetM+8zzH+evuKKK4xOnToViD3vXL99+3bbtKysLKNSpUoX/QzzmzFjhiHJWLp0aYFtcNZ+dfZ9+Oqrrwq0mfLW8eCDD9ote8sttxgVK1a0PX/33XcNScaxY8eKjFOSMXDgQLtpee3ZZcuW2aalpaUZderUMWrXrm3k5OQYhnFhX11++eUF4s/7/zB69GjbtFOnThnh4eGGxWIxpk+fbpu+Y8eOAm2ejIwM2/vk2bdvnxEaGmqMHDnSNm3t2rWGJGPy5MkFtu2BBx6wa8vOnj3bkGSMGjXKbrnbb7/dsFgsdt+j4n63oqOjC3x+gDN030OZM3XqVFWpUkXXXnutJGsJ6l133aXp06df0t3bQkND1a9fv1LH9eijjyoxMVGJiYmaOXOmBg4cqEmTJmno0KGXtL7+/fuXKp78FUwpKSk6fvy4OnXqpL179yolJcVu2caNG9uuwEhSXFycGjRooL1799qmzZs3T9dcc41at25tt1xR5ft5UlNTJclpt73ScNW+y1OnTh117969wHRXf5YxMTHaunWrdu3aVaL4fv/9dx09elQDBgywG5OpZ8+eatiwYYHSc0l6/PHHna6rS5cudmXfeZVIt912m91+ypueP/78n8fZs2d1/PhxtWvXToZhaMOGDSXaJsl6tXHRokXq3bu3Lr/8ctv0yy67TP/v//0/LV++3PYdyvPoo4/aXVn917/+pZycHB04cEDShfE6fvjhB2VnZ5c4JgAwu65du2rVqlW66aabtHHjRr3xxhvq3r27qlWrpjlz5lzSOgs7pzjKf57Izs7WiRMnVK9ePcXExDjt+nOxY/rixYuVlZWlwYMH2y335JNPFisei8WimjVr2tppeY+FCxfa5pdWQkKCrapZsg76HRUVZXf+9PY677zzToWFhdkNe7Fw4UIdP368yHE2S8JZ+zX/9yEjI0PHjx/XNddcI0lOvw+O6/jXv/6lEydO2NoCeef477//vtjDSOSZN2+eWrdubTc0Rrly5fToo49q//792rZtm93yDzzwQKG9AvIPVh8TE6MGDRooMjJSd955p216gwYNFBMTY7fPQkNDbeNS5eTk6MSJE7YuiJfaNW7evHkKDAzUkCFD7KY//fTTMgxD8+fPt5tenO9WTEyMfvvtNx0+fPiSYkLZQVIKZUpOTo6mT5+ua6+9Vvv27dPu3bu1e/dutWnTRsnJyVqyZEmJ11mtWjVbKW5p1K9fXwkJCUpISNCtt96qDz74QAMGDNB7771nG6unJIo74GZhVqxYoYSEBEVGRiomJkZxcXG2vvaOiRRnXeoqVKigU6dO2Z4fOHBA9evXL7BcXhe3okRFRUmy9k13JVftuzyFfeau/ixHjhyp06dP6//+7//UtGlTPfvss9q0adNF48trnDv7zBs2bGibnycoKEjVq1d3ui7HOKOjoyVJNWrUcDo9f/wHDx5U3759FRsbq3LlyikuLs42Tobj51Ecx44dU3p6utPtatSokXJzc/Xnn38WGX+FChXs4uzUqZNuu+02vfrqq6pUqZJuvvlmTZ48WZmZmSWODwDMqlWrVpo1a5ZOnTqlNWvWaPjw4UpLS9Ptt99e4Mf3xRR1TnF07tw5vfzyy7axbSpVqqS4uDidPn3a6XniYsf0vPObYzskLi7OtmxRoqKiFBgYaGun5T3yukLltVNKozjnf2+vMyYmRjfeeKPdGEdTp05VtWrVdN11111ynPk5a0udPHlSTzzxhKpUqaLw8HDFxcXZlruU78Ndd92l9u3b6+GHH1aVKlV0991365tvvilWgurAgQOFtjfy5l9seyTrYO9xcXF206Kjo1W9evUCSc7o6Gi7fZabm6t3331X9evXt/v/sWnTpktqR+XFXbVq1QIXgAvbruJ8t9544w1t2bJFNWrUUOvWrTVixIhSJVnhv0hKoUz56aef9Pfff2v69OmqX7++7ZF3ReJSBjx3593VunTpIkn69ddfS/za0sS1Z88edenSRcePH9c777yjH3/8UYmJibYxBBxP2oXdtcW4hLGsnKlXr56CgoIuKTlXFFfvO2frc8dn2bFjR+3Zs0f/+9//1KRJE33yySe6+uqr9cknn7hwa+yvxDkqLM6LxZ+Tk6OuXbvqxx9/1L///W/Nnj1biYmJtoE3S3rF8lJdLE6LxaJvv/1Wq1at0qBBg3To0CE9+OCDatGihc6cOeORGAHAV4SEhKhVq1YaPXq0JkyYoOzsbNsYgMVV1DnF0eDBg/Xaa6/pzjvv1DfffKNFixYpMTFRFStWdHqecHc7pG7dukpOTi6wvrwLHvkrRi6VO7bBHeu8//77tXfvXq1cuVJpaWmaM2eO+vTp47I7yjlrS9155536+OOP1b9/f82aNUuLFi2yDap9Kd+H8PBw/frrr1q8eLHuu+8+bdq0SXfddZe6du16Sb0milJYW/NS21GSNHr0aA0dOlQdO3bUl19+qYULFyoxMVFXXHGFz7SjJOt+27t3r8aNG6eqVavqzTff1BVXXFGg6gpgoHOUKVOnTlXlypVtd7fIb9asWfruu+80ceJEtyaaSuL8+fOS5PEfwXPnzlVmZqbmzJljdyVk6dKll7zOWrVqOe1utnPnzou+NiIiQtddd51++ukn/fnnnwWqcXyZOz5LSYqNjVW/fv3Ur18/nTlzRh07dtSIESPsSsEd1apVS5L1M3e8orlz507bfHfavHmz/vjjD3322Wd2A4fm3Tkwv+J2h4iLi1NERITT79KOHTsUEBBwyd+Za665Rtdcc41ee+01TZs2Tffcc4+mT59e5OcMAP6sZcuWkqS///7bbe/x7bff6oEHHtDbb79tm5aRkaHTp09f0vryzm+7du2y6+Z97NixYlUNtW/fXm+88Ya2bdtmu+mIJK1atco2358Udf7t0aOH4uLiNHXqVLVp00bp6em677773BbLqVOntGTJEr366qt6+eWXbdNLOoSBo4CAAHXp0kVdunTRO++8o9GjR+uFF17Q0qVLlZCQUOjratWqVWh7I2++u3377be69tpr9emnn9pNP336tCpVqmR7XpJupbVq1dLixYuVlpZmVy1V2u267LLLNGDAAA0YMEBHjx7V1Vdfrddee03XX3/9Ja0P/olKKZQZ586d06xZs9SrVy/dfvvtBR6DBg2yXfHxFXPnzpUkNWvWzKPvm3f1I//VjpSUFE2ePPmS13nDDTdo9erVWrNmjW3asWPHil2d9sorr8gwDN13331Ok3Tr1q3TZ599dsnxuYs7PkvHWyCXK1dO9erVu2jXspYtW6py5cqaOHGi3bLz58/X9u3b1bNnz0uOqbicfR6GYej9998vsGxkZKQkXfRHSGBgoLp166bvv//e7nbhycnJmjZtmjp06FDirhWnTp0qcCW5efPmkkQXPgBlwtKlS51W1MybN09S8brfX6rAwMAC7z1u3LhLrmJJSEhQcHCwxo0bZ7fe9957r1iv79atm6pUqWJ3B7Lz58/rgw8+UPv27Us9ZIKviYyMLPTcGxQUpD59+uibb77RlClT1LRpU1155ZVui8VZu0Eq/r5z5uTJkwWmFfccf8MNN2jNmjW2hKRkHR/zo48+Uu3atdW4ceNLjqu4nP3/mDFjhg4dOmQ3rbjtKMm6XTk5Ofrggw/spr/77ruyWCwlTiLl5OQU6EpYuXJlVa1alXYUCqBSCmXGnDlzlJaWpptuusnp/GuuucZ25eeuu+4q9ftNmTJF/fr10+TJk9W3b9+LLr9+/Xp9+eWXkqxjJy1ZskQzZ85Uu3bt1K1bt1LHI0n79+9XnTp19MADD9i6SznTrVs3hYSE6MYbb9Rjjz2mM2fO6OOPP1blypUv+croc889py+++EI9evTQE088ocjISH300UeqVatWscZDateunT788EMNGDBADRs21H333af69esrLS1NP//8s+bMmaNRo0ZdUmzu5I7PsnHjxurcubNatGih2NhY/f7777Zb7hYlODhYr7/+uvr166dOnTqpT58+Sk5O1vvvv6/atWsXuMWzOzRs2FB169bVM888o0OHDikqKkozZ850eqW6RYsWkqQhQ4aoe/fuCgwM1N133+10vaNGjVJiYqI6dOigAQMGKCgoSJMmTVJmZqbeeOONEsf52Wefafz48brllltUt25dpaWl6eOPP1ZUVJRuuOGGEq8PAMxm8ODBSk9P1y233KKGDRsqKytLK1eu1Ndff63atWu79EYhjnr16qUvvvhC0dHRaty4sVatWqXFixfbbjVfUnFxcXrmmWc0ZswY9erVSzfccIM2bNig+fPn21WWFCYsLExvvvmm7r//fmVnZ6tDhw6aPn26tmzZohUrVlxSTL6sRYsWmjBhgkaNGqV69eqpcuXKdhXW999/v8aOHaulS5fq9ddfd2ssUVFR6tixo9544w1lZ2erWrVqWrRokfbt23fJ6xw5cqR+/fVX9ezZU7Vq1dLRo0c1fvx4Va9e3W4Ac2eGDRumr776Stdff72GDBmi2NhYffbZZ9q3b59mzpzpsm6MRenVq5dGjhypfv36qV27dtq8ebOmTp1qVwUoWbuVxsTEaOLEiSpfvrwiIyPVpk0bp0nUG2+8Uddee61eeOEF7d+/X82aNdOiRYv0/fff68knnyxxF9W0tDRVr15dt99+u5o1a6Zy5cpp8eLFWrt2rV0FJCCRlEIZMnXqVIWFhalr165O5wcEBKhnz56aOnWqTpw4cckNnzx51TyXXXZZsZb/6quv9NVXX0myXoWqWbOmnn32Wb388ssuO8EVN6YGDRro22+/1YsvvqhnnnlG8fHxevzxxxUXF6cHH3zwkt77sssu09KlSzV48GD997//VcWKFdW/f39VrVpVDz30ULHW8dhjj6lVq1Z6++239fnnn+vYsWMqV66crr76ak2ePNlld35xJXd8lkOGDNGcOXO0aNEiZWZmqlatWho1apSeffbZi762b9++ioiI0H//+1/9+9//VmRkpG655Ra9/vrrtrvRuFNwcLDmzp2rIUOGaMyYMQoLC9Mtt9yiQYMGFagIvPXWWzV48GBNnz5dX375pQzDKDQpdcUVV2jZsmUaPny4xowZo9zcXLVp00Zffvml7Q6AJdGpUyetWbNG06dPV3JysqKjo9W6dWtNnTrV766IA4Azb731lmbMmKF58+bpo48+UlZWlmrWrKkBAwboxRdfdOs54/3331dgYKCmTp2qjIwMtW/fXosXL3Z6h9viGjVqlMLCwjRx4kQtXbpUbdq00aJFi4pdJXzfffcpNzdXo0eP1jfffKMmTZpo4cKFatWq1SXH5KtefvllHThwQG+88YbS0tLUqVMnu6RUixYtdMUVV2j79u3FuotyaU2bNk2DBw/Whx9+KMMw1K1bN82fP19Vq1a9pPXddNNN2r9/v/73v//p+PHjqlSpkjp16qRXX33VdoOWwlSpUkUrV67Uv//9b40bN04ZGRm68sorNXfuXI9UnEvS888/r7Nnz2ratGn6+uuvdfXVV+vHH3/UsGHD7JYLDg7WZ599puHDh6t///46f/68Jk+e7LQdExAQoDlz5ujll1/W119/rcmTJ6t27dp688039fTTT5c4xoiICA0YMECLFi3SrFmzlJubq3r16mn8+PHFvgsnyg6L4aoRAAHYufPOO7V//3677mreNn78eD333HPas2ePqlSp4u1wAAAAYEJXXXWVYmNjL+nO1QCQH5VSgBsYhqGff/7Z1h3PVyxdulRDhgwhIQUAAIBL8vvvvyspKanIoSAAoLiolAKcOHnypLKysgqdHxgYqLi4OA9GZO16d7G78MXFxRV6i9aywhf3HQAA/iglJUXnzp0rcpn4+HgPReNdZeGz2LJli9atW6e3335bx48f1969exUWFubtsACYHJVSgBO33nqrfvnll0Ln16pVy+4uX57w1ltv6dVXXy1ymX379ql27dqeCchH+eK+AwDAHz3xxBMXvfNtWbn+XRY+i2+//VYjR45UgwYN9NVXX5GQAuASVEoBTqxbt87p3cDyhIeHq3379h6MSNq7d6/27t1b5DIdOnQo8w0EX9x3AAD4o23btunw4cNFLpOQkOChaLyLzwIALg1JKQAAAAAAAHica+4zDwAAAAAAAJRAmRxTKjc3V4cPH1b58uVlsVi8HQ4AAPBhhmEoLS1NVatWVUBA2b2eR/sJAAAUV3HbT2UyKXX48GHVqFHD22EAAAAT+fPPP1W9enVvh+E1tJ8AAEBJXaz9VCaTUuXLl5dk/XCioqK8HA0AAPBlqampqlGjhq39UFbRfgIAAMVV3PZTmUxK5ZWcR0VF0agCAADFUta7rNF+AgAAJXWx9lPZHRgBAAAAAAAAXkNSCgAAAAAAAB5HUgoAAAAAAAAeVybHlAIAeEdOTo6ys7O9HQZgJzg4WIGBgd4OAwAAO7Sb4Mtc1X4iKQUAcDvDMHTkyBGdPn3a26EATsXExCg+Pr7MD2YOAPA+2k0wC1e0n0hKAQDcLq9hVblyZUVERPDDHz7DMAylp6fr6NGjkqTLLrvMyxEBAMo62k3wda5sP5GUAgC4VU5Ojq1hVbFiRW+HAxQQHh4uSTp69KgqV65MVz4AgNfQboJZuKr9xEDnAAC3yhsLISIiwsuRAIXL+34ydgcAwJtoN8FMXNF+IikFAPAISs/hy/h+AgB8CeclmIErvqckpQAAAAAAAOBxJKUAAAAAAADgcSSlAAAopg0bNig4OFidO3f2digAAAA+7ejRo3rrrbd07733qn///kpMTPR2SPBBJKUAAF5jsXj2UVpDhgzRM888o40bN5Z+ZQAu6tw56fhxb0cBAL7BTO2mb7/9Vj179lSLFi00efJkPfLII+revbu2bNnimg8DfoOkFAAAxTBt2jRVqFBBAwcO1OnTp7V//35vhwT4vfnzpcWLvR0FAKAk0tLS1K9fP82cOVPXXnutgoODderUKVWuXFmVK1f2dnjwMSSlAAC4iLNnz+r555/X66+/rurVqys6OlpJSUneDgvwe998Q1IKAMwmOTlZZ86c0eHDh23TEhISdOTIEZJSKICkFAAAFzF69Gj16NFDjRo1kiQ1btyYpBTgZunp0g8/SImJkmF4OxoAQHHVrVtXCQkJ6tixowYNGqRdu3Z5OyT4MJJSAAAUYe/evZo0aZJGjBhhm9akSZMik1I5OTnuDwzwc/PnS2fPSgcPSrt3ezsaAEBxWSwW/fjjjxoxYoRmzJihRo0a6dVXXy2wHO0lSCSlAAAo0lNPPaUTJ06oevXqCgoKUlBQkD755JMCSambbrpJAwYMUKtWrTR58mTvBAv4kW++ufA3XfgAwFxCQkL0/PPP648//lD37t01YsQIJSUl0V5CASSlAAAoxKJFi7RixQpt2LBBSUlJtsenn36qAwcO6PTp07ZlN2/erAYNGmjt2rV6+OGHvRc04Afyuu7lISkFAL5vxowZysrKspsWHR2tTp06yWKxKDIykvYSCiApBQCAE9nZ2XryySf17LPPqnnz5mrSpInt0aVLF0myVUulpaUpJydHTzzxhBcjBvzHvHnWxFSen36S6OUBAL6tUaNGGjZsmLKzs23Tdu7cqQ8//FCjR49WfHw87SUUEOTtAAAA8EUffPCBTpw4oUGDBhWYV6NGDUVERCgpKUmdO3fW1q1b1a5dOy9ECfinGTPsn58+La1fL7Vq5ZVwAADF0KRJE3Xq1Em9evVSUFCQAgICFBgYqOnTp6tt27ZavXo17SUUQFIKAAAnnnrqKT311FNO51ksFp09e9b2fPPmzWratKmnQgP8mmPXvTyJiSSlAMDX3Xzzzbr55pudzqO9BGfovgcA8BrD8OzDXWhkAa7j2HUvD+NKASjrzN5uor0EZ6iUAgCglMaOHevtEAC/kf+ue/mtWGFNVkVEeDYeAIBr0F6CM1RKAQAAwCecPeu8654kZWVJy5d7Nh4AAOBeJKUAAADgE+bNk86dK3w+XfgAAPAvJKUAAADgEwrrupcnMdEzcQAAAM8gKQUAAACvO3tW+vHHopdJSpKOHfNIOAAAwANISgEAAMDrfvyx6K57eX76yf2xAAAAzyApBQAAAK+bMaN4yzGuFAAA/oOkFAAAALzqzBlrpVRUlPTcc9KAAfbz771X6tzZ+ndiomQYHg8RAAC4AUkpAAAAeNX69dKIEdLBg9Lrr0sVKtjPb93a2m1v/nwpOlras8crYQIAABcL8nYAAAAAKNs6drQ+8mRk2M8PC5MsFqlHD6lbN2tlFQAAMD8qpQAAAOBTnCWl8gQEWLv5AQAA8yMpBQAAAJ9SVFIKAAD4D5JSAADvsVg8+7hEnTp1ksVisT1iY2PVu3dvHTt2zIUfBoA8JKUAwLwMw9A777yjOnXqKCIiQr1791ZKSoq3w3KZZ555Rr179y5ymRMnTqhy5crav3+/R2Jyh7vvvltvv/2229+HpBQAAEUwDEMbNmzQW2+9pb///luHDh3SV199pSVLlmjMmDHeDg/wSySlAMAJk1zMe/bZZzVhwgR99tlnWrZsmdatW6cRI0a47nMopqeeekq33nqry9eblJSkK6+8sshlXnvtNd18882qXbt2gXlHjx7VW2+9pXvvvVf9+/dXYmKiy2N0Zt26dbr77rtVtWpVhYWFqV69err33nu1detWp8u/+OKLeu2119yeUCQpBQBAEXbt2qW0tDR17txZ8fHxqlq1qrp376569eopPT3d2+EBfomkFACY02+//aZ33nlHX3/9tTp27KgWLVrokUce0bx58zwey5o1a9SyZUuXr3fjxo1q1qxZofPT09P16aef6qGHHiow79tvv1XPnj3VokULTZ48WY888oi6d++uLVu2lCiGzp07a8qUKcVe/uOPP1abNm0UHR2tWbNmaefOnZo0aZLS0tI0bdo0p69p0qSJ6tatqy+//LJEsZWU25NSH374oWrXrq2wsDC1adNGa9asKXL5GTNmqGHDhgoLC1PTpk2L/PL2799fFotF7733noujBgDAat26dQoJCVHTpk0lSZmZmfr444+1e/duPfbYY16ODv6sLLehSEoBgDm99dZb6tKli66++mrbtCpVquj48eMeiyErK0vBwcFauXKlXnjhBVksFl1zzTWSpFdeeUVNmzZVZGSkqlSposcff1zZ2dmSpD179shiseiHH35Qly5dFBERoQYNGui3336zrfuvv/6ybUvXrl2dLjNv3jyFhoba3jNPWlqa+vXrp5kzZ+raa69VcHCwTp06pcqVK6ty5cpu+zyWL1+u/v37a9y4cZo0aZKuueYa1apVS126dNH333+vp59+utDX3njjjZo+fbrbYpPcnJT6+uuvNXToUL3yyitav369mjVrpu7du+vo0aNOl1+5cqX69Omjhx56SBs2bFDv3r3Vu3dvp1nD7777TqtXr1bVqlXduQkAgDJu/fr1ys7OVmxsrMqVK6fw8HC99NJLWrRoka666ipvhwc/VdbbUCSlAMB8MjMz9eOPP+qWW26xm56RkaHo6OgSr2/06NEqV65ckY+DBw8WeF1QUJBWrFghydrV7u+//9aCBQtkGIYMw9CkSZO0bds2TZkyRTNnztQnn3wiyVoBZbFY9M477+ill17Sxo0bVbNmTQ0bNsy27qSkJEnWC0fPP/+802WWLVumFi1aFIgrOTlZZ86c0eHDh23TEhISdOTIEbcmpYYOHapOnTrp8ccfdzo/Nja20Ne2bt1aa9asUWZmprvCc29S6p133tEjjzyifv36qXHjxpo4caIiIiL0v//9z+ny77//vnr06KFnn31WjRo10n/+8x9dffXV+uCDD+yWO3TokAYPHqypU6cqODjYnZsAACjj1q9frz59+igpKUlJSUlasWKFGjRooP79+ys3N7fA8jk5OV6IEv6mrLehSEoBgPmsX79e586d09NPP22XOHruuef0f//3fyVeX//+/W3tr8Iezi6wBAQE6PDhw6pYsaKaNWum+Ph4xcTEyGKxaOTIkWrXrp1q1aql66+/XgkJCdq5c6cka1IqJiZGX3/9tTp37qz69evrpptusruxTVJSkmJjY/XNN9/o2muvdbrMgQMHnMZVt25dJSQkqGPHjho0aJB27dpV4s+kpLZv3661a9dq4MCBl/T6qlWrKisrS0eOHHFxZBe4LSmVlZWldevWKSEh4cKbBQQoISFBq1atcvqaVatW2S0vSd27d7dbPjc3V/fdd5+effZZXXHFFe4JHgCAf6xfv14dOnRQvXr1VK9ePbVt21ZDhw7Vpk2b9Ndff0mSbrrpJg0YMECtWrXS5MmTvRwxzI42FEkpADCjP/74Q5GRkdq8ebNd4qh27dpq3759idcXGxtra38V9ggKCnL62g0bNhQY9+nAgQMaOHCgmjRpogoVKqhcuXL65ptvVL16dUnWpNTNN9+suLg422v27dunevXq2Z4nJSXp5ptvVqVKlQpd5ty5cwpzcuKyWCz68ccfNWLECM2YMUONGjXSq6++6jR+x4ucjlVjy5YtU//+/S9aNbZ+/XpJclq5VZS89w8PD5ckt46j6rak1PHjx5WTk6MqVarYTa9SpUqhWbYjR45cdPnXX39dQUFBGjJkSLFjyczMVGpqqt0DAICL2bt3r06fPl2gm96ePXsUFBSkmJgYSdLmzZvVoEEDrV27Vg8//LAXIoU/8ZU2lDfbTySlAMB8UlNTValSJbukUXBwsHbt2qXbbrutxOu71O57kjV5lD8pdezYMbVq1UonTpzQO++8o+XLl2vlypUKCAiwLbdx40a1bdu2wHqaN29u99xxrCjHZSpVqqRTp045jSskJETPP/+8/vjjD3Xv3l0jRoywdQks6iKnY9VYy5YtNXLkyItWjeUlk8qVK+c0nvycvf/JkyclyS5R52rO04o+at26dXr//fe1fv16WUpwi8oxY8YUmoEEAKAw69atk8ViUeXKlXXkyBGdPXtWv/76q0aOHKnHH39cUVFRSktLU05Ojp544glvhwsU6lLaUN5sP5GUAgDzqVSpklJSUmQYhu1c89prr+mGG25Q48aNJUlTpkzRlClTdN999yk3N1dfffWV7r33Xj344IMF1te/f3/deeedRb5nYeMjbt682S4RNnfuXOXk5Oirr76yxfbBBx8oOztbzZs3V0pKivbv31/gQmRSUpLtYk5aWpr27t1b5DKSdNVVV9ndsW7GjBm6+eabFRISYpsWHR2tTp06af78+YqMjLTF3KVLF40fP77A9sTGxtqN/RQeHq7KlSvbVWg506RJE0nWca4cx/qSrFVdedVQzt5/y5Ytql69ul1lmKu5rVKqUqVKCgwMVHJyst305ORkxcfHO31NfHx8kcsvW7ZMR48eVc2aNRUUFKSgoCAdOHBATz/9tGrXrl1oLMOHD1dKSort8eeff5Zu4wAAZcL69etlGIbq1q2ryy67TK1atdLEiRP13nvv2e5atnXrVrVr1867gcKv+EobypvtJ5JSAGA+1113nTIyMvTf//5X+/bt06hRozR37lxNmDDBtsz27dv1888/a82aNdq+fbt++umnQsdWKk33vdzcXO3cuVOHDx9WSkqKKlasqNTUVM2ZM0e7du3SO++8o1dffVXVqlVTXFycNm3apKCgINvdliVrd79Tp07ZqqA2btyowMDAIpeRrN3nt27daquWatSokYYNG2a7y58k7dy5Ux9++KFGjx6t+vXru+0iZ9u2bdWtWzcNGDBAX3zxhXbv3q0//vhDU6dOVYcOHbRv3z5JKvT9ly1bpm7durk0JkduS0qFhISoRYsWWrJkiW1abm6ulixZUqAkLk/btm3tlpekxMRE2/L33XefNm3aVKBE7dlnn9XChQsLjSU0NFRRUVF2DwCADzAMzz5KaMyYMbY7tRiGoZMnT+q3335T3759FRBgPYVu3rzZrnEClJavtKG82X7Kn5QKCJAK+c0BAPAhVapU0ZQpUzRhwgRdccUVWr16tZYvX64aNWoUWDY2NlZnzpyRJKc3jimtUaNGacqUKapWrZpGjRqlG2+8UQ899JDuu+8+dejQQYcOHdKdd95pl3Bq0KCB3VhQGzZsUExMjO3iTVJS0kWXkaSmTZvq6quv1jfffCPJWq3UqVMn9erVSz179tSNN96of//735o+fbrtrn3uvMj5/fffa8iQIXrjjTfUrFkztW3bVmPHjlWPHj3UsGHDQt8/IyNDs2fP1iOPPOKWuGwMN5o+fboRGhpqTJkyxdi2bZvx6KOPGjExMcaRI0cMwzCM++67zxg2bJht+RUrVhhBQUHGW2+9ZWzfvt145ZVXjODgYGPz5s2FvketWrWMd999t0RxpaSkGJKMlJSUS9ouAEDxnTt3zti2bZtx7tw5b4fiFoMHDza+//57b4eBUirqe+qNdoMvtqE8+TkEBl7IJkdEuP3tAMBn+Hu7acqUKca1115rjBs3zvj000+Njh07GhMnTvR2WC73ww8/GI0aNTJycnKKtfxHH31kjBo1ys1Rlez9x48fb3Tt2rXI17mi/eTW60533XWXjh07ppdffllHjhxR8+bNtWDBAttAnAcPHrRdaZakdu3aadq0aXrxxRf1/PPPq379+po9e7atHyQAAL5m7Nix3g4Bfqgst6HOn5fy33SIrnsA4D8eeOABPfDAA7bnzsaS8gc9e/bUrl27dOjQIaeVYo42b95c4C66nuTs/YODgzVu3Di3v7fFMC6hP4PJpaamKjo6WikpKXTlAwA3y8jI0L59+1SnTh2nt8cFfEFR31PaDVae+hzOnJHKl7/wvGpV6dAht70dAPgU2k0wE1e0n9w2phQAAABQUo6DnIeGeicOAADgfiSlAAAA4DMyM+2fUygAAID/IikFAAAAn+FYKUVSCgAA/0VSCgAAAD6DpBQAAGUHSSkAAAD4DJJSACCVwfuRwYRc8T0lKQUAAACfQVIKQFkWHBwsSUpPT/dyJMDF5X1P8763lyLIVcEAAAAApUVSCkBZFhgYqJiYGB09elSSFBERIYvF4uWoAHuGYSg9PV1Hjx5VTEyMAgMDL3ldJKUAAADgM0hKASjr4uPjJcmWmAJ8VUxMjO37eqlISgEAAMBnkJQCUNZZLBZddtllqly5srKzs70dDuBUcHBwqSqk8pCUAgCgDHrmmWe0e/duzZ49u9BlTpw4oUaNGmnNmjWqXbu2x2JzpbvvvlutWrXS008/7e1QUEwkpQDAKjAw0CU/+gFfxkDnAAAUw7p163T33XeratWqCgsLU7169XTvvfdq69atbn3fp556SrfeeqvL15uUlKQrr7yyyGVee+013XzzzYUmpDZs2KDg4GB17tzZ5fE506lTJ1ksFtsjNjZWvXv31rFjxwp9zYsvvqjXXntNKSkpHokRpUdSCgCAsoNKKQCA11he9ezAncYrl3bb2o8//liPP/64HnroIc2aNUuXXXaZdu/erbFjx2ratGl67bXXXBzpBWvWrFHPnj1dvt6NGzfq8ccfL3R+enq6Pv30Uy1cuLDQZYYMGaJnnnlGEydOvOQ4OnfurL59+6pv375FLmcYhjZs2KC33npL99xzj3Jzc7V582bdfvvtGjNmjN555x2nr2vSpInq1q2rL7/8UgMHDrzkOOE5JKUAACg7qJQCAKAIy5cvV//+/TVu3DhNmjRJ11xzjWrVqqUuXbro+++/d1u3sKysLAUHB2vlypV64YUXZLFYdM0110iSXnnlFTVt2lSRkZGqUqWKHn/8cbsxJ/bs2SOLxaIffvhBXbp0UUREhBo0aKDffvtNkvTXX3/p+PHjkqSuXbsWmC9J8+bNU2hoqO09HU2bNk0VKlTQwIEDdfr0ae3fv98tn0OeXbt2KS0tTZ07d1Z8fLyqVq2q7t27q169ehe9bfaNN96o6dOnuzU+uA5JKQAAyg6SUgAAFGHo0KHq1KlToVVFsbGxRb5+9OjRKleuXJGPgwcPFnhdUFCQVqxYIcna1e7vv//WggULZBiGDMPQpEmTtG3bNk2ZMkUzZ87UJ598Ynvtxo0bZbFY9M477+ill17Sxo0bVbNmTQ0bNsy2Pkn68MMP9fzzzxeYL0nLli1TixYtnG7T2bNn9fzzz+v1119X9erVFR0dbVunu6xbt04hISFq2rSpJCkzM1Mff/yxdu/erccee6zI17Zu3Vpr1qxRZmamW2OEa5CUAgCg7KD7HgAAhdi+fbvWrl2rb7/99pLX0b9/f915551FLlO1atUC0wICAnT48GFVrFhRzZo1s5s3cuRI29+1atVSQkKCdu7caZu2ceNGxcTE6Ouvv1ZcXJwk6aabbtKkSZMkWZNSsbGx+uabb1SpUqUC8yXpwIEDTuOSrIm2Hj16qFGjRpKkxo0bKykpSb179y5yO0tj/fr1ys7OtiUB09PTVblyZS1atEhXXXVVka+tWrWqsrKydOTIEdWqVcttMcI1SEoBAFB2kJQCAKAQ69evl6RCK4acycnJsbtTTmxs7EWrqQqzYcOGAgmpAwcO6I033tAvv/yiQ4cOKTs7WxkZGfrvf/9rW2bjxo26+eabbQkpSdq3b5/q1asnyZqUuvnmm20JKcf5knTu3DmFOckG7N27V5MmTdKWLVts05o0aVJopZTj5zF69GiNHj3a7n1Wr16tQYMG2aZt27ZNNWvWtFvP+vXr1adPH7366quSpGPHjmnYsGHq37+/NmzYoICAgsXfee8dHh4uSRft5gffQFIKAICyg+57nvbnn96OAABQTHlJjHLlyhW53E033aQBAwaoVatWmjx5st28S+2+J1mTR/mTUseOHVOrVq104sQJvfPOO1q+fLlWrlypgIAAu+U2btyotm3bFlhX8+bNbX87jhWVf74kVapUSadOnSoQ01NPPaUTJ06oevXqCgoKUlBQkD755BO7pFRRn0f//v2VlJRke7Rs2VIjR460m+asQmv9+vXq0KGD6tWrp3r16qlt27YaOnSoNm3apL/++qvI9z558qQk2SXp4LtISgEAUHZQKeVpr78uvfSSVKWKtyMBAFxEkyZNJFnHV7rlllsKzD937pzCw8O1efNmdenSRePHjy+wzKV235OkzZs367bbbrM9nzt3rnJycvTVV1/JYrHeufCDDz5Qdna2LaGUkpKi/fv3F+jSlpSUpCFDhigtLU179+4tdH6eq666Sl9++aXdMosWLdKKFSu0YcMGBQVdaEKsXbtWDz74oE6fPq2YmJgiPw/HyrHw8HBVrlzZrkrL0d69e3X69OkCMe/Zs0dBQUGKiYmx+8wc33vLli2qXr26XWUYfBdJKQAAyg6SUp6UkSFNnSolJEhuHHcDAOAabdu2Vbdu3TRgwACdOXNGbdu2VW5urtauXasJEyboo48+Uo0aNZSTk6MnnnjC6TpK030vNzdXO3fu1OHDhxUZGamKFSsqNTVVc+bMUePGjTV37lyNGTNG1apVs1UBbdq0SUFBQbYBwSVrl79Tp06pefPm2rhxowIDAwudn6d79+4aPny4Tp06pQoVKig7O1tPPvmknn32WbvlJCkqKkqSNbHVokWLIj+PS7Fu3TpZLBZVrlxZR44c0dmzZ/Xrr79q5MiRevzxx23vn5aW5vS9ly1bpm7durksHrgXSSkAAMoOuu950vffS6dPSytXejsSAEAxff/99xoyZIjeeOMNNWvWTG3bttXYsWPVo0cPNWzYUFu3blW7du3c8t6jRo3SlClTVK1aNY0aNUo33nijHnroId13333q0KGDDh06pDvvvNMuSbRx40Y1aNDAbjyoDRs2KCYmRrVr11ZSUlKR8/M0bdpUV199tb755htJ1oqsEydO2I39lKdGjRqKiIhQUlKSWz6P9evXyzAM1a1bV5dddplatWqliRMn6r333tN7771nW87Ze2dkZGj27Nl65JFHXBoT3IekFAAAZYfFMAzD20F4WmpqqqKjo5WSkmK7uuoRPXpICxdKHTpIy5Z57n0BwIsyMjK0b98+1alTp8DA2ZZXLR6NxXjF9ae8jz/+WEePHtULL7zg8nV7248//qhnn31WW7ZscTqQuDPe/DycvfeECRP03XffadGiRUW+tqjvqdfaDT7GU5/DjTdKP/xw4fkvv0gdO7rt7QAAgBsUt91A9z1P+esvKa9B/PvvUlaWFBLi3ZgAwMvckSTytM2bNyshIcHbYbhFz549tWvXLh06dEg1atQo1mu8+Xk4e+/g4GCNGzfOK/Hg0lApBQBA2UFSylM+/1zKK0rLyJCSkqTWrb0aEgCg9MaOHevtENzqySefLNHy3vw8nL33ww8/7IVIUBokpQAAKDsYU8oTDENyuCW2Vq3yTiwAAAA+jKQUAABlB0kpT1i+XNq9234aSSkAAIACSEoBAFB2kJTyBMcqKYmkFAAAgBMkpQAAKDtISrnbmTPSP7fTtnPwoHTokOfjAQAA8GEkpQAAKDtISrnbjBnS2bPO51EtBQAAYIekFAAAZQdJKXdz1nUvD0kpAGVIbm6ut0MACsX303fkT0pZLFJwsPdiAQAA7hXk7QD82u7d0rJlhc8nKQWgDAgJCVFAQIAOHz6suLg4hYSEyGKxeDssQJJkGIaysrJ07NgxBQQEKCQkxNshlXn5k1JhYdbEFAAA8E8kpdxpypSi569bJ2VmSqGhHgkHALwhICBAderU0d9//63Dhw97OxzAqYiICNWsWVMBARSRe9P589ZHHrruAQDg30hKuUtOjvTZZ0Uvk5UlrV8vtW3rmZgAwEtCQkJUs2ZNnT9/Xjk5Od4OB7ATGBiooKAgKvh8QGam/XOSUgAA+DeSUu6yeLH0118XX27VKpJSAMoEi8Wi4OBgBTNADIBCMMg5AABlCzXq7lLUAOf5rVzp3jgAAABMgqQUAABlC0kpdzh1Spo9W7rySmniRGnUKPv5vXtLrVtb/161SjIMT0cIAADgc0hKAQBQtpCUcodDh6QlS6SkJOmxx6TsbPv5HTpYk1Gffmqd9+efXgkTAADAl5CUAgCgbGFMKXdo0sT++cmT9s9jY6WAAOnBB6Vbb5XS0z0XGwAAgI8iKQUAQNlCUsoTTpywfx4be+HvmBjrAwAAoIwjKQUAQNlC9z1PcKyUqljRO3EAAAD4MJJSAACULSSlPMFZ9z0AAADYycy0fx4a6p04AACAZ5CU8oSiuu8BAABAEpVSAACUNSSlPIFKKQAAgIsiKQUAQNlCUsrdcnKk06cvPC9XTgoJ8Vo4AAAAvoqkFAAAZQtJKXc7fVoyjAvPqZICAABwiqQUAABlC0kpd6PrHgAAQLGQlAIAoGwhKeVujkmpihW9EwcAAICPIykFAEDZQlLK3aiUAgAAKBaSUgAAlC0kpdztxAn75ySlAAAAnCIpBQBA2UJSyt3ovgcAAFAsJKUAAChb3J6U+vDDD1W7dm2FhYWpTZs2WrNmTZHLz5gxQw0bNlRYWJiaNm2qefPm2eZlZ2fr3//+t5o2barIyEhVrVpV999/vw4fPuzuzbh0dN8DAACXoCy2oUhKAQBQtrg1KfX1119r6NCheuWVV7R+/Xo1a9ZM3bt319GjR50uv3LlSvXp00cPPfSQNmzYoN69e6t3797asmWLJCk9PV3r16/XSy+9pPXr12vWrFnauXOnbrrpJnduRunQfQ8AAJRQWW1DkZQCAKBssRiGYbhr5W3atFGrVq30wQcfSJJyc3NVo0YNDR48WMOGDSuw/F133aWzZ8/qhx9+sE275ppr1Lx5c02cONHpe6xdu1atW7fWgQMHVLNmzWLFlZqaqujoaKWkpCgqKuoStqwE7rlHmjbtwvPvv5d8rAEIAAAK59F2wz98sQ3lic/hzjulGTMuPF+wQOre3S1vBQAA3Ki47Qa3VUplZWVp3bp1SkhIuPBmAQFKSEjQqlWrnL5m1apVdstLUvfu3QtdXpJSUlJksVgUExPjkrhdju57AACgBMpyG4pKKQAAypYgd634+PHjysnJUZUqVeymV6lSRTt27HD6miNHjjhd/siRI06Xz8jI0L///W/16dOnyMxbZmamMjMzbc9TU1OLuxmX7HzueQUFBNF9DwDgc3JycxQYEOjtMFzKn7bJV9pQ3mg/ZWRIgTqvnH+aqH6TlDIMyWLxdhQAgNLieO5ypr37XnZ2tu68804ZhqEJEyYUueyYMWMUHR1te9SoUcPt8c3bNU8HTh/g7nsAAJ8zad0kb4fgcp+s/8TbIZhGcdtQ3mg/ZWRI/XWhu6HfJKXyD+XgLw4d8nYEAOBZf/0l/fKLt6NwrYwM6aefvBqC25JSlSpVUmBgoJKTk+2mJycnKz4+3ulr4uPji7V8XmPqwIEDSkxMvOi4BsOHD1dKSort8eeff17CFpXMrO2ztHDPwoJJqQoV3P7e7nIi/YRSM91/lRQA4D7ZOdl6eenLOpF+4uILm4RhGHpz5ZvafXK3t0NxCV9pQ3mj/RSbsk/DNUaSdchTv0hKnT0rPfusdP68tyNxraeftlYMAEBZMXu2NH++t6NwrcRE6dtvvRqC25JSISEhatGihZYsWWKblpubqyVLlqht27ZOX9O2bVu75SUpMTHRbvm8xtSuXbu0ePFiVSxG5VFoaKiioqLsHu6UnZOtOTvnaMGu+dLp0xdmlCsnhYS49b3dac7OOfppn3ezqACA0vl5/886ce6EEvcmejsUl9l8dLP2nNqjBbsXeDsUl/CVNpSn20+S1P7od6qmw2qqzZL8JCm1YIH099/Sb795OxLX+ftv6euvpe3bvR0JAHjOd99Zj+n+ZNYs6zZ58SKDW7vvDR06VB9//LE+++wzbd++XY8//rjOnj2rfv36SZLuv/9+DR8+3Lb8E088oQULFujtt9/Wjh07NGLECP3+++8aNGiQJGtj6vbbb9fvv/+uqVOnKicnR0eOHNGRI0eUlZXlzk0pkV8O/KJTGae0eO9iZVvy7VyTjyc1a8csv2nwA0BZNWv7LEnyq+O5P25TWW1DXXv6O0lSD1n3pV8kpWZZv59+9UNm9mzrv/60TQBQlOPHrV33Nm2SDh/2djSukZ0tzZkj7dsn7fZetblbk1J33XWX3nrrLb388stq3ry5kpKStGDBAttAnAcPHtTff/9tW75du3aaNm2aPvroIzVr1kzffvutZs+erSZNmkiSDh06pDlz5uivv/5S8+bNddlll9keK1eudOemlMh3260NqrTsM1qVf/gFE48nlZaZpkV7FmnB7gUyKNUGAFPKyc3Rdzus56iFexb6zfE8b5uW7l+qjPMZF1naHMpkG+rIEV2dsUKSHyWlMjOlH36w/u1PCRx/TLQBQFHmzpVycqx/L1zo3Vhc5ddfLww35MXjucXwlxZpCaSmpio6OlopKSkuL0XPNXJV/Z3q+vuMtaE4fJk0Oq+avksXafFil76fp3yz9Rvd9e1dkqTtA7erYaWGXo4IAFBSKw6uUIfJHWzPkx5LUrP4Zl6MqPR2n9yt+uPq254n3peohMsTXPoe7mw3mInbP4dJk6T+/SVJWQpWrE7qREY5hYa6/q08Zv586YYbrH9bLFJyshQX592YSuvkSalyZeuPs5AQ6/PISG9HBQDudeONFy4y3HWXNH26d+NxhYEDpfHjrX/fcIP0448uXX1x2w2mvfuer/rtr99sCSlJWlAv30wTd9/L6xoh+Vf3iFwjV9k52d4OAwA8Iq+iKI8/HM/zqpPz+MM2lVmzLrQ1QpSta7XUzENxWn2X7/tpGNYBZc3uhx8uVAtkZfnfnagAwFFamrRo0YXnixZdOA6aVW7uha7YkrR0qfVOfF5AUsrF8idvJGnDZVJy3sUjk3bfyzifoR93Xcia+lODf82hNVr5p490WwAANzIMo8A5asEe8x/PZ+1w2CY/OkeVKadPF7gldc/ABbJYvBOOS+Tk2Df4Jf/o7jbL/v+cX2wTABRl/nxrEj7PqVPS2rXei8cV1qyxHxvr3Dlp2TKvhEJSyoUMwyhwFVqSFtX95w+TVkot3rtYZ7LO2J7/cuAXncs+58WIXGfWdgZvB1A2bEzeqH2n99lNW35wudIy07wUUekdTjus1X+ttpu29dhW/Znyp5ciwiX74Qfp/Hm7ST2M+V69G1CprVghHTtmP23hQuvVabM6c6bgWCokpQD4O8dkvGT+Y58PbRNJKRfKuyW1I1sXPpMmpRyvrGecz9CvB371UjSuk1c1sHCPnwxUBwBFcDyWS9L53PP6ad9PTpY2h9k7ZjudznHdhJw0jmvnevduQKXmrMF/9KiUlOTxUFxmwYKC3Tt27ZL27vVOPADgbhkZzsdaMnNSyjBISvkrZw1+SVpYT8qxyJTd987nntf3O78vMN0fqovykogbjmxQ8plkb4cDwAelZqb63R3qHJn5eF7oeZeklLmkpxfeEDZro98w7MeTys+s2yQVvk3+cicqAK7jUP1qWosXW6tEHa1ZI5044fl4XGHzZmlPwWIabdsmHTzo8XBISrlQYQ3+ExHS+stkykqpXw/8qpPnThaY7hfjkOT7MbNoz6IilgRQVs3cNlObj272dhil9seJP7Tl6Ban8xbsWWDKxNuJ9BP6ef/PTucl7knU+Vw/aQyXBQsXWseycMasCZz16wtv2Jt1mzIzL9x5ypFZtwmA++Td1c3sCkvGm/nmFYVtk+SViwwkpVxk98nd2pS8qdD5C+rJlEkpx7sa5dlxfIf2n97v2WBczO6Ogn6QZAPget/v/F4//uHa2+N6Q2HHcknaf3q//jjxhwejcY25f8xVjuH8zjcpmSn67a/fPBwRLpmzLgR5vHg3oFIpaptWrpRSUjwXi6v89JOUmup83pIl9oMAAyjbcnOl0aOlAwe8HUnpnD8vfV+w15CNWRPyRZ2jSEqZV1ENfumfpJTJuu/lGrmFVn9J0sLd5i3V3nVil131w6I9i5RrmHjgUQAul56drkV7Fmne7nneDqXUHO9Q58iMXfiKOj9J5tymMikrS5o7t/D5XrwbUKkU1eDPybEmccymqCvrZ89aB3YHAElavVpKTrbetc7Mli0ruovewoXmuyHH7t3SpsKLaZSYKGVney4ekZRymYs1+FdXl05FmuvjXntorQ6lHSp0vpnH7HD8MXM8/bjW/73eS9GgrDLbOaysSdyTqHPnz2nlnyt16twpb4dzyf5K/UtrDq0pchmzHc/PZJ256IURKmBNYunSi1cNme1K9Pbt0o4dRS9jtjGYcnKk2bOLXsZs+wmA++Qlsc2elCrqAoMkHTlSdILHFxV1gUGyVsT+5tlqc3NlSXyUs1tSO8oNkBafMlfSo7ABZPMs3rtY2TmezaK6ysztMwtM46o6PCk7W5ozx9tRoCh5N3nINXJNPe5cYXeoy+/n/T/rXHYhY/r4oPm75iszJ7PIZX4//LuOnj3qoYhwyS7WOJbMl8ApzjYtWGCuKxMrVkjHjhW9DEkpAJL9jR6WLLGOR2dGubnFP56bycUSbZLHt4mklAsUp8EvSQv2L3ZvIC5kGMZFq7/SstK06q9VHorIdf5M+dNp1YDZKgVgbr/8Ik2b5u0oUJic3BzN/eNClyIzd+G72AUGSTp3/pyWHTRPF6mLnZ/yJO4x6QCkZUVxqm8kaetW6c8/3R6OyxSnwX/w4MWrqXxJcbZp0ybp8GH3xwLAt23deuHObmfPSsuXezeeS/X779KhwnsN2ZgpKXX4sLVr5cWQlDKfvAZ/RHCErql+jd28y09KEf+M+7hwz0LT3OFoy9Et2n1y90WXM2N1UWFJxFV/rlJKhgkHHoUpzZxp7bKd43ycZnjZyj9X6nj6cdvz+bvmm3LcuePpx/XrgV8lSTWja6pWdC27+Y3jGtv+NsvxPPN8pm3w+UoRlVS3Ql27+fVj69v+pgufj1u1yjrmiCRdfbWyI6LsZh+IufLCE7NUSx04IK1bZ/07Lk6qUMF+fnz8hb/N8kMmf9XDxZhlPwFwH8fjhVm78OVPxjdoYD8vOloKDbX+vXy5lJbmubhKI/+FIMfxrkNCpIB/0kPr1klHPVdtTlKqlE6kn1DSkSS9+K8Xtf+J/Xqw2SN282/8Q9r7vjRkT5yOpR/T1mNbvRRpyVxsANk8ZvkRk19hV9hzjBwt2WfCgUdhOjk51vP1qVPWizDwPY7J62Ppx7Tu8DrvBFMKc3fOVb3Yeppy8xTtHrzbLgklSZN6TdKyfsv0r5r/Ms3xfMm+JYoKjdJ73d/T/if2q33N9nbzX094XasfWq0udbpo4e6FpkwmlhmzZkkdO1qTM7//ruyIaLvZr1//i/WuR02amCeBM3u2VL269P770v79Up069vN/+kmaPFmqVcs827R+vbWyKzZWGjlSam//f07PPy9dcYX1b7NsEwD38YeklGFYz1HXX28d7Pyzz+znt2plHTD8scesz3/6yfMxXopZs6T69aVPPy14c4qGDaUtW6Q77rA+X+S5oStISpVSrpGrPUP26D/X/UdxkXHattN+jKXgHKnKWen9w1dq1+Bdpmkcz9o+S0EBQerXvJ/eSHjDbt719a7XE22eUEhgiDYc2aDkM8leirLkjp09ZqsacMYsP8pgbvmLA7io7HsMw7CNJ5Xfj7t+9EI0pfOvWv/S1gFb9UDzBxQcGKzsXIdzVECwOtTsoF/6/qJ3u79rinGl6sfW154he/TENU8oMiSywNiGwYHBalO9jRbfv1jTb5+uE+lF3DUH3jVggLUvc/fuksUiy3mHfRkRLN10k5SUJPXr550YS6pdO2u3lSFDpIgI6+3E8wsLk/r2lXbutDb8c03QLly9Wnr7bWsV2EsvSeHh9vNvuknauFH64gtp796C2wyg7DhwQNqwwX7atm3WxLaZpKdLX38tzZsndehQ8LgWFGS9ADFxorUrdkiId+IsiZwc6fHHrTfjePBByWKxnx8cLDVqJH3zjbVSyoPHcpJSpRQXGafosAtX9pI22e+8oLy2RsWKqhldU1dWuVK+7nDaYf2r5r+0e/Bu/e/m/+nyCpfbzY8vF6/3erynXYN36aGrHtJP+0ySGZY0Z+ecIhODZupiCfOaOVOSJVcKyvDkRQgU09ZjW7Xn1J4C0+ftMt+4UvVi6ykwIND2/HyuwzkqIEiSZLFY1L1ed4UHO/zY9EH1K9ZXaFCo7Xlh2yRJ19W5TnGRcR6LDSVUr579c4cGcHD4P/syMFDq2dNDQZVSq1b2P04cb6sdHGz9NzRUevjhC10lfNmAAdLQoVK5ctbnzrYpMFC6915p5UpzDeAOwLUKGyfQbFWUkZHSVVddeF7YsVyS6ta1VlT5usBA6bbbrP9KzhNtea6+2noBxUNMcCY0D8OQNm1xuMqXl/+IjfV8QJeoavmqGnfDONWKsY494nhlPa/BXzO6pj656RPd1vg2j8d4qS42OO7BlIPacdxEA4+WEWfP+k8bN68aWFXXSrWXavXqi98NHZ71/Y6CVVKStPbwWlNVhjrjrKrI7JxVf8GcAhy+nyGRfrAvi2r0m4Xj1fSitik42P7HGoCypbDx58zYhS8/fziWOyoq0eZhJKVcaNs26eTpQiqlTJSUclTgR4xDgz8k0ATlipJSMlK0eO/F74DIXfh8z7ffSn/84e0oXGPdun8qmBvPlOotUE6O9W658B3Ouu7lMfvxoaiqIrPyx20qqyw5F/ZlriwKDfeDZqoPNfpdxh+3CUDpHT9uHX/JmcWLpawsz8bjSv543POhRJsfnO19x5w5kgIKjiklqeDo9ibiLw3+ebvmKSvn4gdDxpXyPbNm+c/YSzNnSpIhNZol1bNulL9smz84lHpIaw+vLXS+Gbvw5eePVUX+WP1VVuWvlMpWsO3GRqbmQ41+l/HHbQJQenPnFj5O3pkzBQfWNhN/PO75UKKNpJQLWZNSflgp5fgjxqQN/ryue+VDyqtHvR528y6vcLkuK3eZJOmXA7+YYrDfsuLMGWvSxmxd0Z0xjH+SUlU2S7F7pEo7pZj9WrjQf7onmt2cnXOKnL9wz8ICiXozcYzdrMfz/PzlwgmkgHz78ryCFBbmxWBcxYca/S7jj9sEoPQK67qXx8xd+PzxuOeYaCMpZX7JydJvv0kKNP+YUo78ocF/Lvuc1h5aq/9c+x8dePKABrYaaDe/TbU22j1kt95IeEMRwRFF3qEPnjV/vpSZKf38s5SR4e1oSmfLFmnXLkmNZl6YWHehDhzwn+6JZjd75+wi55/OOK3Vf632TDBu4FhVZMbjuSN/rP4qk3JzFZDvRiTZCvaPpJQ/Xl33x20CUDpnzuiid+8xc1LKH497jok2uu+Z348//lPpUFillIm7711sTCkzOJ97XlsHbNWLHV9UhfAKTrt7RARH6Nn2z2rvkL2KLxfvpUjhaNY/Y9OfO1d4N3WzyNsWNco34D5d+HxGSkaKlu5betHlzNyFr0CllAmP54784cIJVKDB77eVUv74Q8YfKgYAlM7ChdaryEXZskX680/PxONq/njco1LK/8yd+88fhY0pRaWUV5UPLa/IkEjb86KurEeHRatZfDOPxYbCZWRIP/xw4bnZu/DNnCmp4h9SlS0XJtZZIgVk+0VSau1ac3dDnL97foFjgzM/7vrRA9G4R2F3UzUzxpTyEw4Nfr+slAoIsD7Mzh8rBgCUzsW67uUxa2PeH497PnTRxA/OjN537ly+asVCKqWMCuZNSvnLmFL5+UOirSxYssRaDZzHzImbXbukzZtlXyUlSWGpUvXV+vnni19g8nUTJkibNnk7iktnu+teSnVp3SP2M49eIe3pKknalLxJf6X+5eHoXIMxpeCzykKllD9cWZf8s2IAwKXLyrpwFTk+XmrUyH7+lVdeSMibtQufPx73qJTyLz/9JKWn//OkkDGlNv9VwbNBuZA/dvfwhy6JZcEsh/zN1q3mrfqdmTeMlGNSSpLqLVR6urR8uUdDcqnz5603ezBrWyMrJ0s7ju9Q3W2TpLG7pU332i9wurb0xSK13PyLOtbqqPm7zLmhjCkFn1UWKqX84cq65FM/ZAD4gF9+kaKjpQ8/lPbtkzp0sJ///PPWRvxdd1l/OGdd/G7oPodKKbciKeUCtq57ktNKqVSV19yFIZ4NyoXKxI8YP6gW8Dfnz0vff19wulmrpWbNkhR9UKq2tuDMuuYfV2rFCunECfMmpQzD0Lzea7Tv20elnFDJ4nBL49xASdLGOR0155afdWODG70QZen540UGf6z+KpP8sVIqJ8e+T7O/JG986IcMAB9Qr561S8CAAVJYWMEETmCg1LChNH26NYF16pR34iwNKqXciqRUKeXmOialCo4pdVKxduPimI1jAifznPn/E1Ip5fuWLbMmORyZMXFz8KB1vCU1LKS/fdV1UsSxi960xJflDSWwYoV0+rRXQ7kkoUGhSlwYrNy8XJQlx34Bw3q6zM6WFi+2mPZmCGVhTCl/2KYyyR8rpXyowe9S/lgxAODS1akjheQrwMhxaEPlP0Y0ayZVqeKZuFzJH497PnSBgaRUKa1fLx0+nG+Ck0qpk4rVb79JR496NjZXyXT4T7j7D/P/J6RSyvc5dt3Lk5hY8Lzg65zedS8/iyHVTdTGjdKRIx4Ly2UMQ5o92/p3To60eLFXw7lkdhcYHCuljADny5lM/qqiQEugLBaLF6NxDX+s/iqT/LFSyoca/C6Vf7sCAyU/OI4AcCFnlVJmR6WUW5GUKqW8HydXXCF9/rmcjil1JrSiDMO83Vr2HbDfpp3bzP+fkB8xvi03t/CbeKSkSGvWeDae0po5U7qqQ7IstZcVukzd7gsVECBTVkslJUkHDlx4bsZjXVaWtQovOFh6/HGpxw32Sal6dQPVr5+1XTVvXsGLgGaRv6rIXyqK/LH6q0yiUso88m+Xv2wTANfxx6oif9wmH7pwQlKqlPbvl2bMsN5x6vbb5bRSqv2NsfrgA2nDBq+EWGo7d9lv07YtQaa+7btEdw9ft3atdOhQ4fPNdDfZnBxp5EjpsXe/l6HC/+OcqbJQGzflmvIcl1cllWfBApnuGLF6tXTffdKePdL48VJsJfusU7nIAP3vf9LOnVKvXuY9nudPyPtLhShjSvkJKqXMwTDst8sftgmAaxXVfc+s/LFSyoe2yQ++Id41ZcqFqmXDkNMxpQIrxWrgQHNeWc/Olvbsy5aaXph28niw/vhDatDAe3GVFt33fFthXffyLFhgTfSYQWCgdO210utfFr1RyWeTdb7iJv2//9fcM4G5kGNV2+HD1kR9s2beiedS/OtfUseOF54bsq+Usshael63rvS//5kv6SZJObk5dolRf0nGc5HBT1ApZQ65Dl2b/WGbALiWP3bf88fjuQ9Vf1EpVUr5u9Fbk1IFK6VUsaIkc/5//OUXKTPb4QubE6zERO/E4yoMdO67DOPiSanff5eOH/dMPK5wOuO0luxbctHlFu423yjue/ZImzcXnG62LnyOQ6LkGvZXEQIcTpdmHEKlQDLeT457jpVSgRYTnmxBpZRZ+OM2AXCtslAp5Y/bxJhSfsTJmFKKjfVOLC4wY4YKVH8pN8j8SSkqpXzWli3S7t1FL2MYMtV3cO7OuQV+ODuzYI+J+iX+w7HrXh6zJaUcOVZKBfhBosPxO+gvFUX5j+dBAUF+MXh7mUSllDn44zYBcC0qpcyBSin/VGillEmTUufP/1OxEuiYlArW0qUFk6tm4lgppVw/OLD4iYtVSeUx07hSs3ZYNyouIk6d4263mxd5roHqVqgrSVpxcIXOZJ3xeHylUdiA9CtWWAelN6uC3ffMf7p0PO4FWvzjuJd/u/yl+qtMclIpFRrqpVhcpSxcWfeHbQLgWj6U7HAZfzz2USnlnwobU8qsSalff/2ni5RDok25QUpLM98d0PJzrBg4sJcfMr4iLylVv750883281q3lmrWtP69cGHBoS180dmss9p+bLvG9hir/U/uV0JcX7v5MRnNtX3gdk3qNUmVIytr6b6l3gn0EiQnSytXOp+XkyMtXuzZeFzJsfuePySlHI972Rnmb1AZhqGcfPvKX6q/yiSHxnFOQLApu8naKQtX1v1hmwC4lj923/PHY58PJQ/N38r2IRcbU8psZsz45w/H7ns51v+EZuo+5ejIMftt2rHNDw6WfmD3butYPV9/LW3fLnXrZj//2mulP/6Qxo61/n/btMk7cZaExWLRpsc3aXCbwYoIjlBmdsFqleDAYD3a4lHtGrxLdWPreinSkpszp+gBv83chc8fu+85dlvOSDd/g4o77/mP3Cz7fWn4Q4KxLFxZ94dtAuBa/th9zx+PfVRK+TE/GVMqJydfNyonlVKSuZNSf+y230/bt/BDxhfEx0sbNkh33mk9fzk7VoaGSoMHS3v3ShUqeCfOkogIjlBIYIjtuWNSKihfF6rw4HA1jmvssdhKq7DxpPLMn2/Ou9RJkiH/q5Q6ccr+WJ5+Jsi0+yePv46TVRZlp9sfG3P9IcFYFq6s+8M2AXAtKqXMgUop/+RPY0otWyYdPfrPEydjSknSb7+Zc8wYw5B277Pfpr27g3X6tHfiwQXlytnf1ayoBH5kpFSrlmficqXM8463rzfnSS019eLd8w4fNkc1mzO5jpVSMv9VvoWLHQaSzgjWzp1eCsZF/PWOgmVR9jmHSil/+BFTFq6s+8M2AXAtKqXMgUop/+RPY0rZuu5JBSul/um+l5Mj/fyzx0JymU2bpNQz9vvJOB9sym3xdz50rHSZAkkpkw42vWCBlJV18eXM2oXPHyul5i8sWPW6cKF3YnEVKqX8h2OllEGllG/yx20C4FpUSpkDlVL+yWmlVESk6b60OTnSzJnWvwMCpKBQhx/RgRe+sGbswvf113LSJTFYS5Z4JRwUwR8vSjgmpYIDQgpZ0rflv+teURfAzJuU8q8xpc6ckZavLFj1avaklOMdBRlTyrwcK6X84oDvjycxf7xaBMC1qJQyBx86npOUciHDkAICM+ymBUeZYNAbBytWSKdPS489Ju3cKVWoaP+FfW1ksN55xzp+u9mSUoYhffONCnZJzCEp5Yv88aJElh9038vMlH78UapdW5o4UXrzTfv5Tz0lvf++VKWK9Xhixm6+uYZ9UsrslVLz5klZjv+hcoP088/W/WlWVEr5jwKVUkHmOzYW4I8nMR+6sg7AR/njcYLjuVuZu5XtgwIcuu8FxZiv615EhLR/v/XHZr16Uo5h/4WNKhekp56S9uyxDkh97Jh34rwU69db4y5wR8HcIG3fLh065JWwUAgfSuC7jGNSKsSElR179kjjxlnvhPjYYwXPYZGR0pAh1uVGj7YOXm82uQ7d9wJMfrqcOVNO76R67py0fLlXQnIJxpTyH+czHBv8fvAjhivrgOulp1tv1wzf5Y/d9zieu5W5W9k+xjAkS4D9JedgEyalWra03gUtT47sv7ARodYvbHS09J//SHFxnoyudL755p8/Chm8/aefPBsPiuZDx0qXycoxf6VU48bSAw9c2B+FVWlHRkrPPSd17uzR8FzEsVLKvKXn585ZK9sKu5OqmbvwUSnlP86fc2zwm+/YWABX1gHXW7hQmjvX21GgKP7YfY/juVuRlHIha1LKoYFswqSUI8dKqfBQczZAbF33JKcVA9LF7yYGz/LLpJTjmFImrJRy5HhBzB/aHjmOA51bzHu6XLRIOntWhSbjzZyUYkwp/+FYKWWhUso3+eOJGeYyc6a5T1xlAZVS5uBDx3M/+DR9h9O778WaqIyoELmOlVJh5myArF1r7ZYoyelA55K0ZMk/yUWLR0NDIfzy+J9r/u57jnzoQosL2VdKBZq4UirvxhWFVUpt2iT9/bd02WWejcsVqJTyHzmZDt/PEPMfG7myDrhYZqa1SiorS8rIkMLCvB0RnKFSyhx86Hhu3ku/PsoItN+5gbEVvRSJ6+TKfpsiws3ZALFVSUlOBzqXrGNK/fGH52JC0fzx+O9Y2eEPSSl/rJRyHFPKrAOdZ2VJc+b886SQClHJfDetyMOYUv4jJ8N+XwZQKeWbfOjKOsqgxYul1FRrQmrZMm9Hg8L4ULLDZTieu5U5W9k+ylopdeGHTFCOZPGLpJT9FzbShJVSubkOSakCA51f2Ca68PkOHzpWuow/JqX8se1hON59z6Td9376Kd/dDwuplJLM2xPCsVLqfJYffPnKKMdKKQuVUr7JHw/4MA9b6a+sfdPhm/yx+x7Hc7cyZyvbRxmGlBNw4YdMUK6kWPOPKZVrsf/CmjEp9dtv0p9/Sg0aSB9/LEVVsE8MDOgfpGbNrH8vWeKFAOGUXyalHLvv+cFgvv5YKWU4dN8LMGn3vfzt94pVCh9kf9Eia/LebByTvGfTzP//qawqUCkV4gc/YriyDrhOdrb0/fcXnpOU8l3+2H2P47lbkZRyodxcQ7mBF1r1wbmSKpq/UsqwOI4pZb7/hPv3S7NnS9u2SQ8/XLD6q8u1wVq/XvriC2nfvoI/suEdPnSsdBl/TEr50IUWl/GH7nvnz1vb79dfL/36q/TwI/Y7qmb1IP3+u9Stm3T8uJSU5J04S8OxUir1tB98+cqo3CwqpUzBHw/4MIeff5ZOnrzwPG9ARPgef7xayfHcrczXyvZh53Pt/wP6S6WUY1KqXLj5/hP26SPdfLMU8M83PsdhnKxy4cEKCJDuvVdatcr8SSnD8HYEruFDx0qXOe+HSSl/bHsUqJSymG+jTp2yXkieN0/617+kzOyClVItWli77i1dKh075qVAS8ExyZty0vz/n8qq3Ez7fRlo0jv92uHKOuA6+Ut/85h1QER/l78Bb7Fc+AFmZhzP3coPviG+w/GKbXCO/CQpZb9d4WHm/9o4VkqVj7jwnzAsTAoJ8XRErrN6tXTggLejcA0fOla6jGNSKtQPklL+WKXtWCkVYMLTZVyc1Lz5heeZDjsqf/e9zp2l7t09E5crHfjTfptOnwwqcNyAOThWSgWEmv/YyJV1wEVycqTvvis4nS58vin/1Up/OUaUheO5PyelPvzwQ9WuXVthYWFq06aN1qxZU+TyM2bMUMOGDRUWFqamTZtq3rx5dvMNw9DLL7+syy67TOHh4UpISNCuXbvcuQnF5ji2RZC/dN/LPyh4TrDCwizeC8ZFCgzebsLqr8K89JL1LoL+wB+TUtmG/yWl/HE8S8dKKYsJK6UcZZ13OEdZzL+j5i+y36acrGBt3uylYNygLLWhjCwqpUzBH0/M8H3Ll0tHjxacbtYBEf1d/mSHP1yplMrG8dxfu+99/fXXGjp0qF555RWtX79ezZo1U/fu3XXU2UFF0sqVK9WnTx899NBD2rBhg3r37q3evXtry5YttmXeeOMNjR07VhMnTtRvv/2myMhIde/eXRkZGe7clGLJdqyUypVUoYJ3gnGl/Hdsyg3yi/+DuQ5dEstH+kej6uefrXcPJCnlu3IcK6X8YKOolDKHLIcdFWzyOz+ePy/9tNTxjoLB+u0378TjamWtDZWbbb8vA014U5UCfOgqtMtQKQVvcNZ1T7L2O9+40bOx4OLyHyf85RhRFo7n/lop9c477+iRRx5Rv3791LhxY02cOFERERH63//+53T5999/Xz169NCzzz6rRo0a6T//+Y+uvvpqffDBB5KsV/jee+89vfjii7r55pt15ZVX6vPPP9fhw4c1e/Zsd25KsWRnnrN7HphrMf0X1jAMKSDfj7Ncc29PHsdxsspHmP+AaRjSiy9a//bXpJQ/nNfOO1RKhZn8GCH5Z6WUHCul/CIp5TimlLl31Pz50qlUh4NEbpBWr/ZOPK5W1tpQolLKHPzxahF8W26uNGuW9btWrdqF6Xm9UejC51scK9f84bgnlY3juT9WSmVlZWndunVKSEi48GYBAUpISNCqVaucvmbVqlV2y0tS9+7dbcvv27dPR44csVsmOjpabdq0KXSdkpSZmanU1FS7hzvkpJ2yex6Qa/4va4bj3XD8Jillv11R5cy/Xbt3S1FRUsVKhg79ff7iLzABH0rgu0yOY/c9P9gof6yU8oeBzh1l5fhXpdSxY9LwF+y36V/tg+UjvdFKxVfaUJ5qP0mS4Vgp5Q/d6v3xJOaP2wTftm2bdNdd1ttj9+p1YXpiojRpkpSvGhQ+wB8bhZJ/Hvt8aJvcljU5fvy4cnJyVKVKFbvpVapU0Y4dO5y+5siRI06XP3LkiG1+3rTClnFmzJgxevXVV0u8DSXVvEVjHa1/TtnpZ5R98pgsGeluf093CwsJ0pl/Z+jMuWylZ5xXRpbJb0v3j7OvHtGZc9lKO5uttPRshQSbvwriWNhKVXx4gmJ7rFVG7RslventkErN6Nde4TdsUFBAsIIsQQqqslpSfW+HVSp7X5+hM+eydDYjW+cys1U9LsrbIZVabq9HFFb7SwUHBCvQEqSQJp9L6nXR1/myBcNG6GzGC8rJzVGukavoyDBvh1RqXw8dpDPnHtXZjGxlZJ1X+YhQb4dUKg8+KOUad+vF7FuUeva8UtKyVbVKsDIftFaOWkw8/KGvtKE81X6SpA6bxivzzHvKOHNemWeydVWVSI+8r1u9+qq1hDk72/oID/d2RKU3aJD06KPW7Tl/Xgo193FEkvTVV9Ijj1gPGhaLdfveesvbUZXOggVS797WyofgYOmOO6SPPvJ2VJemSRPp7betf48bZ903WVnWK7FXXSX16+fd+Erj4EGpfn3rPgoKkq68Uvr1V29HVTrBwVJ6urWM/vx5/xnz68gR6/bkHc/94Y6CW7Zc2J7z5716gzbzl/IUw/DhwzV06FDb89TUVNWoUcPl7xMYaFFchTCpQphUrZLL1+8NFotFkWGhigzzg0ZHPuEhoQoPCVVctLcjcZ2mlZtqzh9zlJqZqoeuNvEJOp+MnHM6d/6cJGvX2JAg858AwkKCFBYSpEp+9N3Lys1QxvkMZcg6Lk1gkPkbIFGRIYqKNPFtOJ0IDgpUhfLhqlDeD34Y/yPAEqCIkHBFhEjx/wzhWN6/Tlde5an2kyRZgoMUWiFIoX4wFKdNUJD14Q/JqDyBgdbt8adtys6Wzp698NwHxlgrtawsKTPT+pCkc+eKXt4sgoMLVnOYuWIlO9u6r7KyrM/PnPFuPK5gsfjX8SFPaKh/JOHzCwnxmVvOu+0XXqVKlRQYGKjk5GS76cnJyYqPj3f6mvj4+CKXz/u3JOuUpNDQUEVFRdk9AH9TPrS8Hr7qYUlSk8pNvByNa2Tn+tcYOP6qwJ1H2U9AqfhKG4r2E8oEw7B/buYyyzw+NFYMisB+AiS5MSkVEhKiFi1aaMmSJbZpubm5WrJkidq2bev0NW3btrVbXpISExNty9epU0fx8fF2y6Smpuq3334rdJ1AWTKo9SAFWALUtEpTb4fiEucd72hp8jFw/JVj8jA4gP0ElAZtKMCD/DEp5UNjxaAI7CdAkpu77w0dOlQPPPCAWrZsqdatW+u9997T2bNn1e+fvr/333+/qlWrpjFjxkiSnnjiCXXq1Elvv/22evbsqenTp+v333/XR//0gbZYLHryySc1atQo1a9fX3Xq1NFLL72kqlWrqnfv3u7cFMAU6lSoo/ub3a8aUe7pXuFpVOCYg2PykP0ElB5tKMBD/DEpRQWOObCfAEluTkrdddddOnbsmF5++WUdOXJEzZs314IFC2yDbB48eFAB+QYJa9eunaZNm6YXX3xRzz//vOrXr6/Zs2erSZMLXZGee+45nT17Vo8++qhOnz6tDh06aMGCBQoLM/8gtIArvJ7wuiz+0KCSk0opKnB8kmPykIo2oPRoQwEe4o9JKSpwzMExKcV+QhllMQzHI7H/S01NVXR0tFJSUhgfAfBh1d6ppsNph23PU4elqnxoeS9GBGe6fdFNiXsTbc9XPbRK11S/xosRAa5Fu8GKzwF+6dNPpYcfvvD8ySeld9/1Wjgu8fHH1rsI5hk69MId7OA7Vq6U2re/8Lx7d+udEwE/Udx2g/lvZQXAbzGmlDkwphQAwLSolIK3UCkFSCIpBcCHMaaUOTCmFADAtPwxKcVYRebgmDxkP6GMIikFwGc5JjsCLYFeigRFYUwpAIBp+WNSikopc6BSCpBEUgqAD8vfLSwoIMhvBnD3N1RKAQBMyx+TUlRKmQOVUoAkklIAfFj+ZAeJDt/FmFIAAL/hD0kpKqXMgUopQBJJKQA+yjAMu6QUiQ7fxYD0AADT8scbkVMpZQ5USgGSSEoB8FE5Ro7dcyqlfBcD0gMATMsfu+9RKWUOVEoBkkhKAfBRDJ5tHgUqpahqAwCYhT8mpaiUMgcqpQBJJKUA+CgGzzYPxzGl2FcAANPwx6QUlVLmQKUUIImkFAAfxeDZ5kFVGwDAtPwxKUWllDlQKQVIIikFwEdRKWUe7CsAgGn5Y1KKSilzoFIKkERSCoCPovrGPOi+BwAwLX9MSlEpZQ5USgGSSEoB8FFU35hH/n0VYAlQgIVTCwDAJPwxKUWllDlQKQVIIikFwEcxppR55K9qYz8BAEzFH5NSVEqZA5VSgCSSUgB8FJVS5pF/X7GfAACm4o9JKSqlzIFKKUASSSkAPooxpcwhJzdHhi406NlPAACftmGD9O670rlzzufnJaWys6XJk6XVqz0Xm6tQKWUOVEoBkkhKAfBRVEqZA/sJAGAqjRtLL70kXX659P77BZNT2dnSp59KDRtKjz0mNWrknThLg0opc6BSCpAk8esBgE9iTClzYD8BAEwlNFTq1k367jvpyScLdtf773+l3Fzr3wkJUnS0x0MsNSqlzIHkISCJSikAPooKHHNw3E903wMA+LxevS787TimVF5CSpJuuskz8bgayQ5zIHkISCIpBcBHMaaUOTjuJ5KHAACfd8MNxVvuxhvdG4e7kOwwB5KHgCSSUgB8FJVS5lCgUoruewAAXxcfL7VqVfQyV14p1a7tkXBcjmSHOZA8BCSRlALgoxiryBwc9xPJQwCAKfTsWfR8s1ZJSQygbRYkDwFJJKUA+CgqpcyBbpYAAFPKP66UM2YdT0oqmOygAsc3USkFSCIpBcBHkewwB5KHAABTuuoq6bLLnM+Lj5datvRsPK5EpZQ5UCkFSCIpBcBHFUh2WEh2+CK6WQIATCkgoPAufDfeaJ1vVlRKmQOVUoAkklIAfFSBZAeVUj6JSikAgGkV1oXPzONJSVRKmQX7CZBEUgqAjyLZYQ50swQAmFaXLlJIiP208HDrdDOjUsoc2E+AJJJSAHxUgWQH3cJ8EslDAIBplSsnXXut/bSuXaWICO/E4ypU4JgD+wmQRFIKgI8i2WEOjCkFADA1xy58Zr7rXh4qcMyB/QRIIikFwEcxppQ5kDwEAJha/sHOLZbCx5kyEypwzIH9BEgiKQXAR2xO3qwvN32pnNwcSUUnO7Yf266tR7d6ND44x5hSAABTq1NHuuIK69+tW0tVqng3HlegAscc2E+AJJJSAHxE3di6enjOw2o2sZm+2/6d0zGl1h1ep9u+uU1NJjRRTFiMdwIt446dPabZO2bLMAxJBZOH+bvvnc06S/IQAOD78qqj/KHrnmRfgRMYaK0Ag++hUgqQRFIKgI+ICI5Qp9qdtPXYVt36za169ZdX7eaPWzNOLT9uqVnbZ6lV1VaqFlXNS5GWbZUiKmnAjwPU5pM2StyTWKCbZVBAkE6dO6X//PIf1Xqvlg6lHfJSpAAAFFNeFz5/SUrlr8Ch+sZ3USkFSCIpBcCH9Kjbw/b32eyzdvOOpR+z/X1ro1s9FhPsWSwW9ajXQ2sPr1W3L7tp8PzBdvN/OfCLar1XSy///LJyjBx1rt3ZO4ECAFBcbdtKLVpc6MZnNi+8IK1bd+F5/gqc/NU3R45Ikyd7Li7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\n" }, "metadata": {} } ] } ] }