GitHub_collection_pykan/tutorials/physics_4A_constitutive_laws_P11.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "134e7f9d",
   "metadata": {},
   "source": [
    "# Physics 4A: Constitutive Law P11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cb0b97c3",
   "metadata": {},
   "outputs": [],
   "source": [
    "from constitutive_laws_generator import LinearElasticConstitutiveLaw, NeoHookeanConstitutiveLaw\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import random\n",
    "from sympy import *\n",
    "from kan import *\n",
    "from kan.compiler import kanpiler\n",
    "\n",
    "random.seed(0)\n",
    "np.random.seed(0)\n",
    "torch.manual_seed(0)\n",
    "torch.use_deterministic_algorithms(True)\n",
    "torch.set_default_dtype(torch.float64)\n",
    "\n",
    "N = 1000\n",
    "sigma = 0.2\n",
    "\n",
    "F = torch.eye(3,3)[None,:,:].expand(N,3,3) + (torch.rand(N,3,3)*2-1)*sigma\n",
    "det = torch.det(F)\n",
    "F *= (det > 0)[:,None,None]\n",
    "\n",
    "linear = LinearElasticConstitutiveLaw(young_modulus=1.0, poisson_ratio=0.2)\n",
    "P_l = linear(F)\n",
    "P11_l = P_l[:,[0],[0]]\n",
    "P12_l = P_l[:,[0],[1]]\n",
    "\n",
    "neo = NeoHookeanConstitutiveLaw(young_modulus=1.0, poisson_ratio=0.2)\n",
    "P_n = neo(F)\n",
    "P11_n = P_n[:,[0],[0]]\n",
    "P12_n = P_n[:,[0],[1]]\n",
    "\n",
    "# P11\n",
    "# linear: P11 = 2 * mu * (F11 - 1) + lambda * (F11 + F22 + F33 - 3)\n",
    "# neohookean: P11 = mu * (F11^2 + F21^2 + F31^2 - 1) + lambda * log(|F|)\n",
    "\n",
    "# P12\n",
    "# linear: P12 = mu * (F12 + F21)\n",
    "# neohookean: P12 = mu * (F12 * F11 + F22 * F21 + F32 * F31)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ab3826e0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 11 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu, lambda_ = linear.get_lame_parameters()\n",
    "input_vars = F11, F12, F13, F21, F22, F23, F31, F32, F33 = symbols('F11 F12 F13 F21 F22 F23 F31 F32 F33')\n",
    "P11_l_expr = 2 * mu * (F11 - 1) + lambda_ * (F11 + F22 + F33 - 3)\n",
    "model = kanpiler(input_vars, P11_l_expr)\n",
    "\n",
    "F_flatten = F.reshape(N, -1)\n",
    "\n",
    "model.get_act(F_flatten)\n",
    "model.plot(in_vars=input_vars, out_vars=[r'$P_{11}$'], varscale=0.75, scale=1.0, out_vars_offset=0.08)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c9268105",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 11 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.perturb()\n",
    "model.get_act(F_flatten)\n",
    "model.plot(in_vars=input_vars, out_vars=[r'$P_{11}$'], varscale=0.75, scale=1.0, out_vars_offset=0.08)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cce03890",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 6.38e-03 | test_loss: 6.99e-03 | reg: 1.36e+00 | : 100%|█| 20/20 [00:06<00:00,  3.00it"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "from kan.utils import create_dataset_from_data\n",
    "\n",
    "dataset = create_dataset_from_data(F_flatten, P11_n)\n",
    "model.fit(dataset, steps=20);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0f6038bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 11 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(in_vars=input_vars, out_vars=[r'$P_{11}$'], varscale=0.75, scale=1.0, out_vars_offset=0.08)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "979b8803",
   "metadata": {},
   "outputs": [],
   "source": [
    "detF = F11 * F22 * F33 + F12 * F23 * F31 + F13 * F21 * F32 - F11 * F23 * F32 - F12 * F21 * F33 - F13 * F22 * F31\n",
    "D = symbols('|F|')\n",
    "\n",
    "dataset = augment_input(input_vars, [detF], dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e47c381c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.4\n"
     ]
    }
   ],
   "source": [
    "model.expand_width(0,1,perturb=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "44cf84a3",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EFsWgQURkIclIUhcoIuMRpONpAGorRqblYObEDOKzce33tHAhqV++1T5s2L0BfW/rQ+9be7ULeofHAbvLjtsuvA3n5s7hb//ubzE6Ooq//uu/xsDAAD772c8iHA6jt7cX6XQa+/btw1/+5V9iYmIC3/n2d7Bm7RpAAF2XdKHr0i5AqK+dCCUQGgkhPBJGcCSI0HAIiWBCCx4QQGo+helj05g+Pq1tt9Pv1AWPtg1tcLe5GT6IiCxAEoVWYSIiorpKzicxPz6va61IRVO6f589NauGixMzmJ+Y1/2+dhEPwN3iRt81feh9Wy827N6A1ReuBgAoKQVCFrC5bNrFu8PjgKfNAyEJ/OD7P8D/8z/+H0xNTeGaa67BFVdcgfb2doyPj+M3v/kNXn/1dVyz6xo8+NCDuHDLhbrWEiGE2lVKWvw+EzwggGQ4ieBwEOHRMELDIcwNzSEZTqoPXhjfkfn/bK4Wly54tG1og7vVbUTJiYjIQAwaREQmkIqmlnR/Ss4ndY9JJ9KYOzOHmRMzmD4xjfBIePEfsy7GhRBweBxYf/V69F3bhw1v34Dubd2wOdTF9exOOySbhHQ8rQsGNrsN7jY3nN6FAd6K+m/j4+P4yU9/gl/96lc4deoUEokE/A4/1jnXYfeW3bjuuutw7f3XQpIkdaVwJc/HykJwyA0imeAhQYKAUMPHkNriERwKIjgcRGo+tWzwAAB3m1vX8tHa1wp3C8MHEVE9MWgQEdVYKpbSwkRmFqhEOLHkcUpaWRzAfWIGwaEghCzyXmhLNglrr1iLvt196LumD2uvWAuHZ7F3rM1ug8OrdotKRpJadytAXRPDFXDB1eLSWjUyISD7+RVFQTKZhCzLsNvsePmBlxGbjgEAdn50J7ou6dIeLxSxZCyIJEmQbFLef8v7mgvBJT4X18JHZsxHKpZaNngAgGeVRxc82ja0weV35X8wEREZjkGDiKiK0on0ku5PidDSUAGoF+fhc2FMvzmN2dOzmDs9h3QinfexANB9WTc2XrcRvW/txbor18HVor+IlmzqmAun1wmb04ZkJIlkOKm7yHe4HfC0e7TWjuxtWXwi5B0Tcf718zj4rYMAAH+PH9f+2bWQbPrH5Q0cNkkLEVpXqmKyHiKEQGwmpoaPkRBCQyEER4KQ47K2vYV4O7y64NHW1wanjwsMEhFVA4MGEZFB0ok0opNRNVAshIt4MF7w8UIIdbG8M3MIDgYxdWwqb8tGRscFHei/oR8bdm/AuqvXFewalAkXdrcdkiQhnUgjPhfX1skAFrpJtbrzXmTna80otP0vffElBIeCAIBL33cpenf15n1cvu5UmcCR/ZqFPpIkSe1apXW/yp2VVwhEp6Jai0doOITQSAhyQl42eACAr9OnCx+tva1a9zEiIqocgwYRUQXkpIz5SX33p9hsrOjvJSNJRMYimDk1g/HXx5cM4M7WsrYFAzcOoP/GfvRd2wd/l3/JuIoMu9MOp88Jh8ehBQNFVpAIJpCKpXSPdQVccLe4CweIrFBQ6DEZs2dm8fJDLwMA3K1u7P6L3bC77AWft1B3Kt3jSggdkKAbWJ739YRAdDKqjvVYmOkqPBqGnJSX3ScA8Hf7l4QPh5sTNRIRlYNBg4ioCDklIzoZ1XV/is0UDxU2hw0OtwOh0RCmjk1h7JUxzJ6ZLfh47yov+vf0o//GfgzcMIBVm1chHU8jHUtDkZUlj8+Mu3B6nUu6PiUjSSRCCd3Fut1lh6fdA7szfxAAci7cC3SZyvXa11/DxBsTAIDNN2/G5t/eXPT5C3WnWvL4AuM5tN+TFme1KhY8Ms83Pzm/2PIxorZ8KKml9dW/0GL4yHy1rm8tGKqIiIhBg4hIR0kriE5FdbM/xWZiRccR2Ow2+Lp8cAVcCA2HMH5oHCP7RjB+cLzg7zh9Tmx8+0b039CPgZsG0HN5DyRJQiqWQjqWhpxaeuddkiQtXOS7yJWTMuJzcd3vSjYJnjZPSWMRymnNyJifnMcL//AChCJgd9ux+y92F53xKV93qkxoyBs4SmzlyNsVq8innBAC8+PzWvAIDqlT7mZ3Ncv/okBgTUAXPlrWtSwb5IiImgmDBhE1LUVWQ0X24nex6eKhQrJJ8HX6EOgJwN3mRnA4iPMHzuPMk2dw7uVzeVsfALV70/pd6zFw4wAGbhzA+resh91lhxBCa7koNPjb4XbA6Vscd5FLKALxYFy3zgYAuPwuuFsLd5PSPUcFrRkZRx85iuEXhgEAfdf24ZJ3X1LS75XanSrfdpYaOpb8TrFPPUndrsj5iBY8gkNBhM+F1Vm/lvtVm4TA2oBuqt2WdS1LWpyIiJoBgwYRNQVFVhCbjum6P0WnovnXfMgi2ST4Vvvg7/HD3+2Hr9OH4NkgBp8exOBTgxh6fkg3VazudyUJa3aswcBNarDoe1ufbnpVOSkjFU0tO+4i03qx3IV3cn6hm1TWvtidC92kyujaU0lrRkYinMDez++FnJAh2SRc+1+vhb/bX9rrltmdqpTf1Z6jQCtJucFDkiQosoLIWATB4aAWPiJjkeLHkF1Cy7oW3SKDgbUB2OwMH0TU2Bg0iKjhCEWd/jS7+1N0KlqwpSFDkiR4V3vh7/Yj0BOAv9sPb6cXM2/O4PQTpzH45CDOPnt22ZmkOi/uVAdw39CP/uv74e3w6v5dSSta16hyx13kklML3aSS+m5S7lZ32etFrKQ1I+PUf5zCqcdPAQC6t3Vjx307yt6GcrpTLfn9EsZzLDeDVrnBA5L69wyfC+sWGQyPhYs+h2SX0Lq+VdftKrAmUHbAIyIyMwYNIrK0zJoK2d2fopPFQwWgrqkQ6AlorRX+Lj9sDhtmz8zizJNnMPiU2moRGY8UfI62vjZ18PaNA+jf04/W9a1Lt1ERKxp3ke/5EqHEkpXDnT4n3K3uiu6Ur6Q1I0NOytj7+b3aOiFX//HVWDWwqqJtKbc7le73K2zlyPscRVor1CfUP6eclBEaDS2ubj4UVI+hIk9lc9p04aO1rxWBHoYPIrIuBg0isozMKtGZQJGZVrbooF2oMzppgWLhKzNoN3I+gsGnB7VwsdzMUL5OHwZuUFssBm5UZ4YqNHi5lHEXDq9DnZK2xBaEVDSFeDCuuwC2OWzwtHsqnn61lMX5SjXy4giO/PAIAKBtQxvecv9bKnq+UtbeKPV5DAsdZbZ2ZD9nOpHWxntkAshyUxtn2F12tPa26qba9Xf7V/Q3IiKqFQYNIjIlIQQSwYSu+9P8xHzeFoFcnnaPrvuTv9uvaymIz8Vx9tmzOPPUGZx54gwmj0wWfC5XwIWN121UB3DfNIDurd3L3mGWk7LWerGScRdLnjclIxFM6EKLJKndpJx+Z8UXnqUuzlfy8ykC+/5pHyLn1Vagyz98OdZsX1P5862wO1Xuc600dCx5ngqDBwCkYil1et1My8dwENHJaNH9sLvtaOvLWt18Qxt8nT6GDyIyHQYNIjKFeDC+pPtToZaAbO5W92KgWGixyL2zn4qmMLxvGGeeVIPF2IGxgl1i7C47+q7tQ/8N/dh00yasvXJt0elKjRx3kUuIhW5SkZxuUl4n3G2VdZPSPb+BrRkZk0cn8epXXwUAeFd78bb/9jZDtnMl3alKeb5Kn9uo4AGox2r2TFfB4SBi08XXbHF4HUvCh7fDy/BBRHXFoEFENZcIJ/Tdn8bnSwsVLW4tTGTChcOztLuQnJJx7pVzOPOE2hVqeN9wwdWgJZuEdVeu02aG6r2mF05vaetNGDnuIp9ULIVEMKELLzaHDZ42T979LpcRA8ALPe/+f92PmZMzAICL77gYG3ZvMOR5jehOlfucRrRyFHzOFQYPQJ1VLHu8R3A4iPhs4QkJMpw+52KXq4UZrzyrPAwfRFQzDBpEVFXJSHJJ96dULFX091wB15LuT4UWnBOKwMQbE4szQz13dkkLQLburd0YuEkdZ7Hxuo3wtHlK2hchBOTEwpS0Bo67yKWkFcTn4ku6SblaXHAFXMYFAgMGgBcSGgnhNw/8BoB6wbv7M7tLCnClKNSdasXdvqoQOpY8rwHBA1DDenaXq+BQEIlgoui2OP1O3RofbRva4G5zM3wQUVUwaBCRYZLzSS1MZMJF7gJy+Th9ziXdn5abnlUIgZmTM4szQz09iOhU4b7tqzat0gZv9+/pR6AnUNZ+VWvcRS4hBJLhJJKRpO51HB4HPG0eQxd9q1ZrRraD3zmI86+eBwAM3DiALbdsMfT5je5OpXvuKoWOJc9tUPAAgEQooQsewaEgkuHCgTvD1eJanGZ3IYC4W5df2Z2IqBQMGkRUkVQ0pQsU8+PzS6ZbzcfpdWqBIhMuXIHiaz6ERkMYfGpxZqjgcLDgYwM9AW0ti4EbB9De317OrgGo7riLfNLxNOJzcX03KbsN7ja3YS0B2arZmpERm4lh79/vhZAFbA4bdv/FbnjaS2s9KlU1ulPlPv9ygQNY4ViRckIHFv5Wpa4rsjC+R+tytfCVmi8e/t1tbl3waO1rhbuF4YOIysOgQURFpWIpbSrZTItFIly8m4bD49B3f+rxl3yxEpuJqVPOPnUGg08OYur4VMHHeto82Hj9wsxQNw6g85LOyu40K+qUtKloqvC4C89C16gKp5LNpcgL3aRyVhd3t7jhajGum1S2WrRmZBz/2XGcfeYsAGDdVeuw7e5tVXmdarZuaK9RxVaOvK9hYGtH9vPH5+Ja6Mh0vyql5dGzyqPrctXa11r2wpBE1FwYNIhIJ51Ia2Ei02KRWYBtOQ63Y3GNioXWinK6XyQjSQw9P6TNDDX++njBCzqn14m+ty3ODLVm55qKZzXSxl3EUksu9rP3baXjLvK9bjKSRDKc003K7YCn3dhuUkteuwatGRmpWArPfe45pGNpQAKu+dNr0LKupWqvlzdwGNS6oXudGoSOJa9TheCReY3YTEwXPILDQfVvVoS3w6tb3by1t7XgWCoiaj4MGkRNLJ1IIzoZXewCNT6PeLD4bDZ2p31J96dyB5TKSRkjL46o3aGeOIORF0cKLrxnc9iw/ur12gDu3rf2rrhFQRt3EU/n7Xpj1LiLfNKJhW5S6ZxuUq3uql+k1bI1I2PwmUG8+bM3AQCrL1yNK3//yqq+XrW7U+V7vVqEjiWvVaXgkXmd6FR0yWxXcqL4Oja+Tp+u1aOtr82QWdKIyHoYNIiahJyUMT+p7/4Umy0+P7/NYVvS/cnTXv4UmYqsYPz1cXVmqKcGMbR3aNnuGmu2r0H/jeoYiw27NxjSP7ykcRceB5w+Y8ZdLHl9WUEimFgy65Yr4IK7xV311gWjF+crlZJW8PwXnkdsRj3ervz9K7H6wtVVf91adKfSvV6Vx3MUfc0qBo/Ma81PzOvCR2gkVHDq6Gz+br9udfPW3lbDuh8SkXkxaBA1ICWtqKEia62KzEXecmx225LuT5XOuy+EwNSxKW0A99lnzi4bbFZvWa0Fi/7r++Hr9JX9mnm3ow7jLvJJRpJIhBK6i1C7yw5Pu6fogoBGqcbifKUae3UMh75zCAAQWBvANX96TU2CTqGL/2q1bhR7Xe31DWzlKPi6VQ4egHpMRcYjui5XoZEQlFT+1sns186ED631Y31rxWvOEJE5MWgQWZySVhCdiupmf4rNxJa9qwqoocLX5dO1Vng7vCu6+AsOBdUxFgszQ4XHwgUf27q+VZsZqv+GfrT1tVX8urnqNe4iHzkpIz4X14UcySbB0+apaV/2erVmZL/+iw++iNBICACw7e5tWHfVupq+fr61N2oRuOoVOjKvLZTSZrTKbMOK1yNRBCLnI7qpdkMjIQi5yEZIQGBNQBc+Wta11CyIE5HxGDSILESR1VCRCRSR8Qhi08VDhWST4Ov06bo/eTu8FQ+gzpifnFdbLBZmhpo5NVPwsd4OL/r39GvhYvWFqw2/sCo27sLmsMHpc8Lhcax434sRikA8GF/SPczld8HdWv1uUvm2R1Pj1oyMmZMzeOXLrwBQp0/d/Re7a34RWevuVEtev86ho5atHdkUWUFkTB8+wufCRcOHZJMQWBvQTbXbsq6lqpMlEJFxGDSITEqRFcRmYrruT9GpaN4L6GySpIaKzMJ3/m4/fJ0+Qy6sE6EEzj53Vm2xeHIQ44fGCz7W5Xdhw9s3aDND9VzeU5WLOUVWkI6pXaPyjbuQbBKcXiccXkfNLmqT8wvdpLL+VnbnQjepOnQNqccA8EIOfPUApo6qUxVvuWULBm4cqPk21Ks7VSnbUMvtqWfwANTW2PC5sC58RMYixd/j7BJa1rXoptoNrA1U/eYBEZWPQYPIBISiTi+Z3f0pOhXNe+GcTZIkeFd7tUAR6AmoocKgu33peBrD+4a1maHOvXKu4DbZnXb0vrVXG2ex/ur1Vbuo1sZdxFJ5B6LWatxFLjm10E0qa5skSYK7zV3X9QZqOZ1tMZHzEbzw/74ACHWdld1/sbukBRuroZ7dqXK3o16tHAW3ow7BA1DPIS18LEy3Gx4LF90em8OGlvU54WNNoO7HO1GzY9AgqrHMnPXZ3Z+ik8VDBaB2P8ru/uTv8hvahUBJKxg7MKbNDDX8wnDBMQ6SJGHtFWsXZ4Z624aqjjnIHnchJ+S8F2W1GnexZNsUdQXm3JXRnT4n3K3uut5pNVNrRsbhHx7G6IujAIANuzfg4jsuruv21Ls7lW5bTBI6lmxLnYIHoHaJDI2GdKubz0/MFw8fThtae1t1q5sHehg+iGqJQYOoijKr8GZ3f5qfmC+4XkQ27yrvYqBYaLEwuuuPEAKThye1Adxnnz277OJ8XZd0acFi43Ub4V3lNXR78pFTMlLRIuMuFrpG1eOCPhVNIR6M67bN5rDB0+4xxfSdZmrNyEiEEnju756DklIg2SS87b+9zbBZxipV67U3SmGm0LFke+oYPAB1LZrQSEi3yOD8xHzR37O77Gr4yJpq19/tN0UAJ2pEDBpEBhFCIBFM6Lo/zU/OlzTHvKfdo5v9ydflq8pFqhACc2fmFmeGenpw2Q/n9o3tarC4QR3A3bK2eis6Z9PGXcRSeUNZPcZd5JJTMhLBBNKJxRYfSZLURff8TlNcuJixNSPj5OMncfo/TgMAerb3YPuHt9d5i1Rm6U6Vu031Hs+Rj7ZdRcZUAKh68ADUVehDIyHdOh/RqWjR37O77bpWj7YNbfB1+kx1vhBZFYMGUYXiwbhu8bv5iXndRWch7la3vvtTt7+qd77DY2HdzFBzZ+cKPtbf5Uf/DYszQ63atKp2d0tNOu4ilxAL3aQiOd2kvE642+rbTSqXGVszMtKJNPb+3V6tjm+5/y1o39he343KYqbuVNnM1sqRd7vq3NqRLRVNaS0fma9S1hRyeB1Lwoe3w8vwQVQmBg2iEiTCCS1QRMYjmB8vMVS0uHWL3/m7/XB4qnuRHJuN4eyzZ7W1LCaPTC67fRuv36jNDNW1tavmg2CLjbuwu+zalLT1/pBPxVJIBBO68TQ2hw2eNk/V/67lMsN0tsUMvzCMo48cBQC0D7Tj6j+62lTbacbuVNnMGjoA8wYPQJ0VLrvVIzgcRHw2XvT3nD6nLni09bVVvKApUbNg0CDKkYwk9d2fJuaRiqWK/p7L79IFCn+3vyYLsqWiKQw9P6TNDDX26ljBrgwOtwN91/Zp4yzWXbmuLvPRyylZ6xplxnEXuZS0gvhcfEk3KVeLC66Ay3QXGvVenK9UiqzghX98AdFJtXvLjvt2oHtbd523aqlC3anMVNdCoSjDVN2/TBY8APVmUvbq5sGhIBLBwuPVMpx+p26Bwba+Nrjb3KZ7TyCqFwYNamrJ+aQuUETGI0sWWMvH6XMu6f5Uq+lL5ZSMcy+f02aGGvnNSMFxIDa7DeuuWqcFi9639sLprd1q1NmsMO4ilxACyXASyUhSd9fY4XHA0+Yx7aJhVmjNyJh4YwKvff01AICvy4dr/+u1pgiX+Zi1O1U2s47nyGX24AGokxZkB4/gUBDJcLLo77laXLrg0bahDe5Wdw22mMh8GDSoaaSiKW0sRab7U+50pPk4vc4l3Z9qOe+/UATGD45rA7iHnhtadru7t3Vj4KYBDNwwgA1v3wBPm6dm25pLCKGFCzOPu8gnHU8jPhfXd5Oy2+Buc9ctrJXCKq0ZGUIIvPyllzF3Zg4AcMm7L0HftX313ahlmL07VTYzd63KZYXgkZnwIzd8pOaL35xyt7l1waO1rxXuFoYPanwMGtSQ0vG0LlDMT8wjES7eDO5wO/Tdn3r8Nf8wEEJg5sSMNsZi8OlBRKcLz5zSsbljcQD3nn74u/013Nr80gl1pe5lx10stF6Y4SInmyIvdJPKWT/E3eKGq8V83aRymXkAeCFzZ+fw0hdfAgC4Ai7s/sxu0wXPXFZo3chmpdABWCN4AAtTmM/GtfCR6X5VSsu4Z5VHt8Bga19rXRf2JKoGBg2yvHQivaT703JrQWQ43A5tLEWm+1O97v6HRkLarFBnnjqD0Eio4GMDawIYuHFAmxnKLDP1WG3cRS4hBJKRJJLhnG5Sbgc87ebtJpXNzNPZFvP6t17H+OvjAIBNv70JF9x8QZ23qDR5A4cJWzeymX08Rz5anUu5YpHqv/5JbCamW+MjOBxEOlZ8AhFvh1c35qO1t7UmY/2IqoVBgyxFTspLuj/Fg8VnC7E77Uu6P9VzwF50OorBpwe1VovpN6cLPtbT7kH/nn6t1aLz4k7TXABYcdxFPunEQjepdE43qVa3pT7krdiakRGdiuL5f3geQhawOW14+2febpl+7VbqTpXNKuM5clmltSObEALRqeiS8CEniq+z5Ov06Vo92vraTDfLHVEhDBpkWnJqMVRkWitis8XnP7c5bLrF7/w9fnja6zsFYTKSxNDeIXWcxRNnMH5wvOCHu9PrxIbdG7QB3Gt2rDFVC0Ap4y7s7oUpaU3e/UWRFSSCiSWzirkCLrhb3Ja6WLdya0bGsUePYWjvEABg/a712Pq+rXXeovJYrTtVNqt1rcpmxeABqNs7PzGvCx+hkVBJi7z6u/26qXZbe1tN/35LzYlBg0xBSSuYn1QDRWZq2VIWVbLZbUu6P5lhUaV0Io3RF0e1AdyjL43mveMPqMGod1evFizWv2W9KT8w0ok00rE00vH08uMuPA5LXFglI0kkQgndvthddnjaPaZufSnEyq0ZGcn5JPb+3V51fIwEXPtn1yKwJlDvzSpLoQt2M7YMFGLl0AFYN3gA6nkcGY/o1vkIjYagpPJ/fmgkINAT0IeP9a2wu6z3XkaNhUGDak6RFUQno4trVUzMIzYdW7b5HlBDha/LpwWLQE9ADRUmuKhSZAXnXz2vBYvh54cLrr0hSRJ6tvcszgy1e0NNZ7Eqh9XHXeQjJ2XE5+KQU4t3DSWbBE+bx1LdpLI1QmtGxpknz+DEL08AADov6cQVH72izltUmUJrb1jt72PF8Ry5rBw8gIXwcT6iW908NBqCkIvsjAS0rG3RhY+WdS2WvJFC1sWgQVWlyAqiU1Fd96fodHTZDy5AvfDzdfoWu0D1qC0VZrmYFUJg6ujU4sxQzwwiPld4rEjnRZ3aGIuN12+Eb7WvhltbnlLGXTg8Djh9Tkt9YAlFIB6ML5kNxuV3wd1qrW5S2aw2nW0xckrG3s/v1RZLu+oPr0LHBR113qrKWbk7VTarjufIx+rBA1DfpyNjEd3q5uFz4aLhQ7JJCKwN6KbabVnXYonJLsiaGDTIMEIRiE5Hdd2folMlhAppMVRkuj/5On2mCRUZc4NzupmhIucjBR/b2tu6ODPUnn609rbWcEvLJ4RAOr4wJe1y4y68TtjddlN94JYiOb/QTSrrWLQ7F7pJWbxrgZUW5yvVuVfO4Y3vvQFAPZd2/ckuS+9XI3Snymb1rlW5tFabUme0MmlQVNIKwufCunU+ImOR4p/Bdgkt61p04SOwNmC6z2CyJgYNqohQ1On7srs/RSejusXN8pEkCd7VXl33J1+nz5R3U+Yn5nHmqTNaq8Xs6dmCj/Wt9qH/hsWZoTou6LDEh2yjjbvIJacWukllhSdJkuBuczfEfPWN1pqRIRSB3zzwG4TPhQEAl33wMqzdubbOW7VyjdKdKlsjhg6rt3Zkk1PyYvhY+IqcjxTdN5vDhpb1OeFjTaBh3mOodhg0qKjMnODZ3Z/mJ+cLDm7O5u3w6ro/+Tp9pu1uEw/GMfTc4sxQE4cnCj7WFXBh49s3agO4ey7rscwbcCOOu8glFIFEKLFkBXWnzwl3q9uy+5WrEVszMqbfnMb+f9sPQF3YbPend5vyhkQlGqU7Va5GGM+Rq9GCB6COUwuNhnThY35ivnj4cNrQ2tuqW2TQ3+23/HFL1cWgQTpCCMTn4rrF76KTUd3A2UK8q7y67k/+Lr+pu6WkYimM7BtRWy2eOIOx/WMFW2TsLjt639qrdoe6aQDrrlpn2sCUT6OOu8gnFU0hHozrLnhsDhs87R5TzuZVqUYaAF7I/n/br60xc+FtF6L/+v76bpCBrLr2RikarZUjWyMGD0Bt3Q6NhHRT7c5PzBf9PbvLroaPrEUGfV0+0+8v1Q6DRhMTQiARTOgWv5ufnC9pDm9Pm0e3+J2vy2f6izglreDc/nM484TaHWpk3wjSifwrtUo2CWuvWKvNDNV3bZ/lZiTKjLtIx9J599Pq4y5yySkZiWBCt6+SJKmL7vmdlt+/XI0wnW0x4XNh7Pv/7QME4PA68PbPvN1y52ExjdidKlsjhw6gcYMHoN6MC42EdFPtRqeiRX/P7rbrWj1a+1rh62T4aFYMGk0kHozruz9NzBe80M7mbnXrFr/zd/tNHyoA9UJs4vAEzjyhjrE4++xZJMKJgo/vurRLG8C98bqN8LR7ari1xmn0cRe5hFjoJhXJ6SbldcLd1jjdpLI1Q2tGxhvfewPnXjkHANh4/UZcdNtFdd6i6mjU7lTZGj10AI0dPAC1xTg4HNSFj1LWvHJ4HVr4yEy1a4Y1r6j6GDQaVCKc0HV/mh8vMVS0uLVAEegJwNflg9NrjTuIQgjMnprVZoYafHoQ85OFm37b+9vVWaFu6MfADQOWWxgsW9FxF3abulK3hcdd5JOKpZAIJnRd3mwOGzxtHjg85g/DlWqG1oyM+Fwcez+/F0pagWSXsPvTu+Ht8NZ7s6qikbtT5coXrLJZ7QK8kEYPHoA6q192l6vgcBDx2cLTvWc4fU5d8Gjb0AZPu8dS+07FMWg0gGQkqe/+NDFfcLG4bC6/S9f9yd/tt1y3hPC5sBosnhrEmSfPIDgULPhYf7cfAzcMaAO4Vw2squGWGk+RFW1K2mXHXXidph4rUwklrSA+F1/STcrV4oIr4GroD6pmas3IOPHLEzjz5BkAwJqda3D5By+v8xZVV6HuVI0YKpuhlSOjrNCBhZsIFt33RDihCx7BoaC2Ns5ynH6nbrxH24Y2dZ0jC9aAVAwaFpOKpnSBIjIeWbIAWT5On3NJ9ycrTu8Zm43h7DNntRW4p45NFXysu9WN/usXppy9aQBdl3ZZ/s2q2LgLAIvhogHGXeQSQiAZTiIZSeouTBweBzxtnoaZlWg5zdSakZGOp/Hc557T3ut2/ckutPW11Xmrqq8ZulNla6bQATRHa0e2eDC+JHwkw8miv+dudS+2evQthg+yBgYNE0tFU9pYisx6Fbn90PNxep26QBHoCcAVsF6oANQm2eHnh7WZoc6/er7gh5DD40DftX3azFBrd65tmAvPouMunHa1a1SDjLvIJx1PIz4X13eTstvgbnNbpnvfSjXydLbFDO0dwrFHjwEAVm1ehav+8Kqm2P9m6k6VrdlCB9B8wSMzIU326ubBoSBS88Vvnrrb3Lrg0drXCncLw4cZMWiYRDqeXtL9abmByxkOt0MXKPw9fkufbHJSxujLo9rMUKMvjhacWtdmt2Hd1eu0maF639rbUP3ylbSCVDSFdDydd9pdm90Gh1dtvWiUQJWPIi90k4rrW3DcLW64Whq7m1S2Rl2cr1SKrOD5LzyP2LQ68HTnR3ei65KuOm9V7TRb60a2ZhnPkavZggewMMX+bFwXPELDoZJ6bnhWeZaEDyv23Gg0DBp1kE6kdbM/RcYjSISKhwq7y76k+5OnzZozI2UIReD86+e1maGG9g4tWWQtW8/lPdrMUBt2b2i45lOhCKRiKaRj6bwBq5HHXeQSQiAZSSIZzukm5XbA094c3aSyNXNrRsb518/j4LcOAgD8PX5c+2fXNsWFdra8gaPBWzcymrGVI1szBg9gcdHg7AUGQ8OhJTef8vGu9i4JH83SAm4WDBpVJiflJd2f4nPFZ2OwO+1Luj+526w/IEoIgenj04szQz0zuOzUeB0XdGgzQ/Xv6Ye/y1/Dra2NZh93kU86sdBNKmuQu2ST4GnzWG7CAiM0e2tGhhACL33xJW3Sh0vfdyl6d/XWeatqr1m7U2Vr9tABNG/wANR9jk5F9eFjJAQ5UXwdMF+XTz/Vbl9bQ/WGMBsGDQPJqcVQkWmtiM0Wn1/a5rBpsz5luj810hRvweEgzjy5ODNU+Fy44GNb1raoweJGdcrZtg2NO+CT4y6WUmQFiWBiyaxproAL7hZ309QhVzMOAC9k9swsXn7oZQDqINHdf7G74Vv3Cmnm7lTZGDpU2vFQylWd1HjBVAiB+Yl53VS7oZFQSYsQ+7v9uql2W3tbLbFemBUwaFRISSuYn9R3fypl0Rqb3QZfl08LFP5uf8MtWhOdimLw6UFtZqiZkzMFH+td5UX/noWZoW4cwOqLVjdULXIpaUXrGtXM4y7ySUaSSIQSuosFu8sOT7sHdmdzXkgCzTmdbTGvff01TLwxAQDYfPNmbP7tzXXeovopdJHdaBeRpWrW8Ry5mrm1I5tQBCLjEd0Cg6HREJTU0s9fHQkI9AR0q5u3rm9t2psaK8GgUQJFVhCdjOq6P8WmY8u+mQELoaLTp+v+5O3wNtzdpkQ4gaHnhrSZocYPjhd8rNPnxIbdG7RxFj3bexpqAbl8io67kCQtXDTjm5iclBGfi+tq08zdpHKxNWOp+cl5vPAPL0AoAna3Hbv/YrelJ8EwQqG1Nxrx4rEUbOXQY/BYpMgK5sfn9d2uRkMQ8vKFkWwSAmsCupaPlnUtTX0jrBQMGjkUWUF0KqrrAhWdjubtD5tNsklqqMjq/uTt8DbkRXQ6nsbIiyNqd6gnBzH68mjeBeMAtfvP+l3rtWCx/i3rm+JiuqRxF24HnL7mGXeRSygC8WB8yWwiLr9LXaCJF9VszVjG0UeOYviFYQBA37V9uOTdl9R5i8yB3amWYuhYisFDT5EVRMYiuql2w6Phkq79AmsDugUGW9a2NF2PhOU0ddAQikB0Oqrr/hSdKiFUSBK8q7267k++Tl9DhgpAPQHHDoxpwWLo+aGCsz1IkoQ1O9aoU87eOIC+t/U11fRyclLWpqQtNO4i03rRzB/8yfmFblJZ55rdudBNqgmCaKnYmlFYIpzA3s/vhZyQIdkkXPtfr4W/u/Emi6gEu1MVxtCRH4PHUnJKXgwfC1PtRsYixa8R7RJa1rXowkdgTaBhrxGLaZqgIRR1erTs7k/RyWjefvLZJEmCt8Or6/7k6/Q1dFoVQmDq6BROP3Eag08O4uyzZxEPFp4pq/PizsWZoa7vh7fDW8OtrT+OuyidnFroJpU1OE+SJLjb3E0VSEvB1oziTv3HKZx6/BQAoHtbN3bct6O+G2Qy7E61vFLGczRrwGfwyE9OyQiPhrXgERwKInI+UrRGNocNLetbdFPtBtYEmuL4asigkVnwJXvxu/nJ+YLde7J5O7y67k++Tl9T9L+bPTOrzQw1+NQgIuORgo9t62tTZ4W6cQD9e/rRur61hltqDhx3UR6hCCRCiSVrpDh9Trhb3U17p2c5bM0oTk7K2Pv5vdo6RFf/8dVYNbCqzltlPuxOtTy2chSn1ajI3XwATRU8APV9KDQS0oWP+Yn54uHDaUNrb6sWPNo2tMHf7W+489LyQUMIgfhcXN/9aTJacDXpbN5VXt1aFf4uf9NcFEbGI9p0s4NPDWL2zGzBx/o6fRi4YUCbGWrV5lVN8eaRq9RxFw6vQ52StglrlE8qmkI8GNd9QNkcNnjaPZw+sAAuzle6kRdHcOSHRwAAbRva8Jb738J65cG1N0rD0FEcWzuKSyfSavjImmp3fmK+6O/ZXXY1fGR1u/J1+SxdO0sHjZOPn8Ts6dmS5kj2tHng7/FrK2v7unxNeZFz9rmz+OUf/xKTRyYLPsYVcGHjdRu1Adzd27obLmGXKx6MIx3juItyyCkZiWBCF8okSYK71Q2n32npN85q4uJ85RGKwL5/2qd2XwBw+Ycvx5rta+q8VeZVqDsVj7OlSgkdrFsFwaNJw20qlloSPqJT0aK/Z3fbsWb7Glz+octrsJXGs3TQmDwyifnJpQnR4XHA3eKGK+CCq8UFV8DVFN2fSiGEyNuFTHfHocnuPJQiNhvTBVqb3Qa7xw6nh+MuCknFUojPLY7tcXgc7CZVArZmlC86HcXEIXVdDYfXgfVXr+cFYBG53ama9eKvVOx+VrpiwUOy81jLkFOyuoZUOIFkOIlkOJl3sh1/tx9dl3bVYQtXztK39F0tLiRCCS1MuFpccAfcTdP9aSUYLMrj9DqhpBQtXPAYK87pdSIdT0NJK3C3uOHwWPrtpnYkqB/OPC9L5u3wwtPuQTqZRsemDrWGtCzJJml97iWJF37FSDYJEiT9RTRLlpd2XbFQoNzgwWNtkd1ph3eVF95Vi5PoyClZFzwSEfU616pq1qKRTqdx/vT5orM8lUNAaAdytbT3tKO1oz6DneOxOF782YtIJ/OPBzAlAWy+ajP6L+mv3yYIgWQ8WbwJt8znBKr7Bml32uFw1udiXAiBZCwJYWTRsHB3vooXzA6no241Awp3qbCCen3Yp1IpnD181tDPAkAdkGlz2Kpzh1kAnX2d6OjpMP65S92EUrqlmFEdAzNrVhkhlp+Ny6zqGZhTyRQG3xg0/H0tQwhh/L4JoHNDJ1avWW3s8+ao2Sd0KpHC5NAk+i7pq+rrCCEgJ2Wtm4vdaYfdaYdkL/8PFJmNYGpkqm5BYz44j4NPHMT1H7q+Lq9fjshoBNGZKNLuNA4/e7i+QUMRSCfScHnNfwdAkRVIkgRFKEgn03W7aFYUBalECi6vC0paUS/YjHhTq2LDj5yWkUqk6ho0qHzJWBJjb45h81Wb670pRaXmU4jNxAAPcP7U+boGDWDh5ppRFxtZUydXjYDWOlcvhtasvBeubL9NULPMdqwotGfnlBrsSyYc1StoJONJnDt+DhdcfUFdXr8cyUgS8dk4hEdg7ORY4wQNAHD73Vi9brXhB4IQAkIWCA4FMXlYHbeRGYBqd9nhbnWjZW0LWnpb4O/yw+l1lnTHwO60Y+78nKHbWq62NW24bPdlpm1qFEIgMhbBw3/9MIJng9j5lzsRkQpPjVsrkl2Cw2XumZ+EEIhNx6DICpwBp+GtCeWSbBLkqIx0PA1vhxd2l8lXLJdQ0kQQtWLmWpnt7qSn1YO1A2tNWzMhBMLnwjj686NIBBPYcOsGRJXigzZrpdK6acdB1gBnSe3jsqLnLfh6ME+LQrF9y65N9oVxKTXJPr90Y6wy3YTKqK+ZagaUf0xkaqHVIetaq9rne73f57ytXqzbvM7U72vz4/M49LNDiM/FsfHWjYjJsaq/ruVvBQohkAwncfbZs5g9MwuhCNgcNm1GKTmhruwYPheGdEBd28C32ofAmgB8XT51ik2vA3aHXUvvAgJQYKqT3YyEEIhORvHofY9ieO8wurd1w9PmQWSm/kHDCpS0og7Ml9TB5bJc54tmSZ12Vgh1jRC7m+NQqPkosoLxg+M4/tPjSIaTaFnXUvcLGEPlzKKk9Zu3SXW9I1xPSy6OM9fIJdQkX3hb8u8LgaNurSs1JmR92BKK4KD5OhOKwNTxKRz5wRFEZ6JoWddSs7+JpYOGEAKJYAInfnkC85PzcPld6Lm8B6s2r4LT5wSgBo3YTAyh0RDCo2HEZmPqoirDQQDqBZ7NaYPNYVNnw5GghgwJWPM2TpFYSGZRxJ/+3k8x+NQgVl+0Gnd++07MJeYwNTNV780zvUwXPyEEHG6HesKb4Oa8w+NAIpyAnJDN0XxPVCNCCMgJGWeePIOzz6pjSHq29+Ci2y9COBxGbLj6d/6qKXeqVu3GmrJ4kd3MF4P51hjJ1KRQ2FgSUKBvwVD/MatbDxo7bOROnSzZJPX7BsrpliMAWZYx/PwwTvzyBNLxNLou7cLW921FeD6M6Nnqt9RaNmgIIZCOpXHq/57C/OQ8Aj0BbPrtTfB2eHUnsdPrhKfdg/aBdghZIBFOIDoZRWQ8gthUDIlwAul4GnJCRlosDrq2O+1VG9TTCJLhJH75iV/i5K9Oon2gHXd+6050XdqFuVfn6r1pliEn1GThcDtMc0Fvc6ihW0krkFNyU641Q81HCIF4MI5jjxzD5NFJ2J12bPntLdhw3QbYHDaEw+F6b6Ih8k1qoV0MAupFcQNfCOdTaN0aXetGnnLkDRm2pV2EMpPWNEvYyG4NggRtFj2hCMBm7i6mjUYIgVQ0hTd//iZGfzMKSMDADQO44J0XwO62Izxfm/c1y15FCEVgeN8wwmNh+Fb7sOWWLXC1uAoexJIkQXJI8K5Sp0Hs2NIBCLWZXEmpF1WKrGhNyDaHDfPz80hMJGq8Z+aXiqbwf//8/+LIj46gZV0L7vjmHVizY40p30BqMVtUJYQiIKdkSJIEu8sORZgk1Epq8Emm1bm8TT9Og4pqqG4/VSCEQGg4hMM/OIzI+Qg87R5c8u5LsPri1bDZGmPNlyWzL2X1mxdCaGEjc+e+2bpQLRfA8oWDUkNG5vslYaMBa6xrzcgEDEDbV7Zq1JYQAtGpKA5/7zCmT07D5XPhwtsvxPq3rK/5WlaWDBpCCATPBjF1dAoOtwMDNw0sGzJyaY+TALtNnZXKCeeSx0Vj5hn8ZxbpRBpP/fVTeP3rr8O32ofb/7/b0bur13xvmEKdMSYdT8Pdar61VZSUAqGIxRnRTDSDscPjQHI+qbW4mA0vnMkoQhGYODyBo48cRTKcRHt/Oy5976Xw9/jN9562QoVuumRf9GYuFpu2C1VuAJOWtkRklBIytH/PDRuNWuNMzsga/F3vSU6akRACMydn8Mb33kB0KopATwBb378Vqzatqsv7miWDhpyUMfLiCBRZwfq3rEdgTaDhPhTMSE7JeP7vn8fLD70MV4sLt375VgzcMGDO2kvQuv+kE2nYnAZN12oAIcTirGgmHHBtc6rjleSUDCWtwO40zzYKIZCaT6nb5TXPdpH1KLKCkX0jOPHLE5BTMtbuXIsL//OFcPlLv2llBUuCeZ4ZF7ULwsxDm6QLVfad9pJaIqBv0QCKhwz9k6Iha7xci1nm+8y0vY2yz2alKArG9o/h2I+PITmfROfFndh619YlwwpqyXJBQwiBmRMziE5G4VvtQ89lPTxoa0CRFbz8pZfx/N8/D7vbjnc+8E5cdNtFpq693W1HKpZS78wH6r01eto6LybsmiTZFrpzxRSk42nj1tRYoUxAS4QSEELAZXeZZmwLWYuclnHmiTMYfGoQEGq/5U2/tclUNyQMVeBiOpfuDn4j1iGP5VpI84WN7H8rZ9raJS1HDVbjTAtPvpaaRt1ns1FkBWefPYsTvzgBIQv0XduHi267CA5vfaf6t1zQkJMyzr9+HgCwduda2D28q1ltQhF47euv4am/egqQgN/6/G9h2z3bTN/0a3epUxYraQVCFpAc5thebXtskqlaC7I5PA7ThTShqLPMCSHgCrhgd9tNtY4GWYOclHHysZMY2jsEm8OGC951Afqu7at5v+Va0i6Ql1k/qllbNTQFaqObljZnkcNya9OINS7WmqHrPsVeVFUjp2Wc/r+ncfrXpwEJ2PzOzRi4cQB2h73uN+QsFTSEUBfli03H4FnlwaoL6tPfrJkIReDwDw7jP/7rf0BJK9jzP/bgio9dYYkP5cyFfDqRhpyUIdmluh8vQgh1fIYQcLjMM9tUtswAdUmSIKdkU4Q0XZcplx3uFjfSaRMNbCFLSCfSePNnb2LkxRE43A5cfOfFWLNzTcMM+s5VySDc3IHhpB/XacjzWWjwfSkTqmQH2eJPWOLjqGRyUsabv3wTQ88Mwea04aLbL0LvNb2muU4zx1aUSCgCE29MQAiB7q3dphvg22iEEHjzF2/iV/f/CqlYCtf8l2vw1k+9FTaHdQ6bzBiIzJgIMzDz+IwMyS7B5rSps2MtrPdRT0IWSM4nAQDuFjc/qEpU77+bWWS63R3/6XGMvDgCp9eJre/firU71zZsyMgoZ+a9JY8psAhdI1hufEY1LVkl28zlzUxLiyLHQdaUtgVrmfXjRj2m6kFOyjj+s+M4+8xZ2Fw2XPq+S03XQmueLSlBbCaG8LkwnF4nOrZ0mPYOQCMQQuD0r0/j53/wcyRCCVz18atw3X+/znLhTrszn5TzLshUc0KdcQow5/iMbA6P2uCZjtc3pGXmAheKgMPjgN1t7rqZWTPWLbM45vFHj2P0pVE4fU5su3sburd1m777p6GW6Ta15KGZtSRECReZFlZKl7KqyeQME9dYW+SxQNhYMqXtMnKnBqaVk5Myjv/0OIaeG4LD7cBld1+GdVeuM937mmWChhAC08enoaQVtPe3wxVw1XuTGpYQAkN7h/DT3/0polNRbL9vO276XzdpF55WklmATihCu8CvJ0VWoMiKuiK9ie445JIkSVusT07Kdb3rJhQ1aACAy8/znkqXWe372KPHMPrKQsi4Zxs6L+ls+NBV6doFuXfcTXGDpsFYpcbaBWuesKEFBpHz2HzPk71aujl31XLkpIzjPzmOob1DcHgcuOwDl6Fne4/pQgZgoaAhJ2XMnJqBZJPQeUlnvTenYQkhMPLiCB79nUcRGY9g2z3b8I5/fAccXuuFjIxMK0w6ka7r3ZTMnVVAnULW7N1/tFXCZXWa4HoQQiAdS0OR1bEZbM2gUmkh48fHcO7lc3D5XbjsA5eh86LGDxm5Khm0rHt/auAuVPVilRpL9mXChqxvzWi286pe5ISMo48exdDzQ3B6nbjsg5eh+zLzttBaImgIIRAeCyMRTMC7yotAD9fNqAYhBMYOjOHRDz+K0GgIF995Md714LvgClh3XnlJkrSxEPW+M69tA6C1FpiatLid6Xj9QhpbM6hcmZBx9MdHcW7/ObgCLmy7ZxtWX7jasu9llVhp16BG7UJVr/EZ+VihS5EubMhqdyktZGD51gz9E0F7nnp/FluSUG+YHn30KEZeUMeabfvAQjdQE7+vWSJoAMDMmzMQQqBjc4d6N5gMJYTA+GvjeOSDj2BucA5bbt2C//S//xPcbW5TH8ClsDvtsNltUNJqt6W6yRqfYYX5+iVJ0o/TqPEHQ6YFSE7JsNltbM0ok5kvXKpJCIF0PI2jjxzF2P4xNWR8oLlChhF/e6t077GyfK0aZqMdB/b83Z8yIaScc0sIwRXDyySEQDqZxrFHj2Fk34jaDdQCIQOwSNBIx9IIDgVhc9iwajOntDWaEOpsXo986BHMnprFpps34bZ/uw2eVZ7GqLUE2FzqoS4n6jeDUibomH18Rja7KyukpWsf0jKtGQ6vw7TNwmQemZBx5EdHMHZgDK4WFy774GVYvaV5QobGqDv2FujeU4m6DgTPoWs5MmF5tbBhk9Rp4m2S9v/Z/17sOepdZ6vSWmgfPqqFjMs+cJklQgZggaAhhEBoNIRUNAVfpw/eDm+9N6mhCCEweXgSD3/gYUy/OY2BmwZwx/93B3ydPkscwKXSugDVaZrb7PEZdlf9F9ApmZQ1RXCNu08JRWgzXjm9TtMfj7krB5uN2eu3UpnxPEd+eATjr4/D3erG5R+8HB0XNOcMhUZcSGdfYGY/p5mPc6tZMt2tSWWCgiRlBY1ywwMHhJctEzKO/OiIOjW334nLP3Q5urZ2mf6YyTB90ACAmZOL3aa0voK0YkIITB5ZCBnHptF/Qz/u+Pod8HU1VsjIXoBOSSm6vqW1pAsaFlKPaW4zb65CEWqrCrtL0jIyIePwDw9j/OA43G1uXP6hy9kCbgB2oaoRaSHQ8XClBZn3tTe+/wZGXx6Fu8WN7R/ebrlZ80z/6Z2KphAeDcPmsKG9v91SxTWz7JAxdXQKG6/fiDu+cQf8Pf6GrLFkW1iATtRnATqhCMgpWRd6rEDbXpu6SngtpwjOdJtyep01e00jVHpsZVpEzN4yYjZayPjBYUwcmoCn3YPLP3Q52gea8/OiagOdG6QLla4+Jrmqz24taHhZrRpWPYZqIbN+1BvfewNjB8bgafNg++9sx+qLrNcN1NRBQwiB8Lmw1m3K0+6p9yY1hEzIeOQDj2DqyBQ2XLcBd37zTgTWNPZsXtqd+Tp0n1LSCoQi1P6tFmuVk2xSzWefUtIK5KSsvrbH0dDHJZD/A5cfwsXpQsYbWSGjyW9KZXebMkLDdqFq3kOkbqwwy1a9CSGQmk/hje++gfOvn4en3YPt92637ELVpg4awGK3qVWbV1nuAs2MtDEZ9zyMySOT2HD9Brz7W+9GYG1jh4zsloRarxK+ZHyGBWXWUUnFUlXvX5sZ0CuE2m2q0c/75T5wV9I60ugyx8nhH2aFjA9fjraNbQ39XlYuo2pRqAuVFY81Mw0Ebya6WlvvsKkJIQSSkSQOfucgxt8Yh3eVFzvu24FVm6zbDdTUQSMVW+w2tarfukU2i8zsUg/fs9hd6t3fbPyQkZG9Sricqm33KTmxuH6GWZrrS5VZJTwz+1QtapeOLQwC91mr21SG2S6+rHbMFaMNkHz4iK67VNuG5g4Z1V4fInc6Vo7XoLI17+lZlBACyXASB799EJNHJuFb7cOOj+ywfAutaYOGEALhUXabMooQAuMHx/Hw3Q9j6tgUNu7ZqHaXapKQkaEt3hev3UrXQhZQ0gokSbLEiuB5SVmtGgtjJ6pFSSmLa2dYaDxLJUoJJIaElgYroZyUcewnxzD+mjq71GUfvIwtGQtqEXJ1U02zrz3RimWHjKljU/B3+rHjIzsa4uaJaYMGAMyemlW7TW1it6mVEELg/Kvn8fA96hS2/Tf2N2XI0C1Al0jX5G6cEIutJzanzbJrQUiSpE0xm46nqzZzlxBC7Z4FNRRatV5UPXJaxslfncS5V87B6Xdi2z3bLH/Hryqq1C0o73gNhg0qBweE62R3l5o6PgV/lxoyWntbG+J9zbRBIxVLITQSUrtNDbDbVKWEEDi3/xwevudhzJyYwaZ3bGqKgd+F2Bw22J12tftUjWafyu42ZWU2p9rCIBR1Noyq1E5At3ZGsyk08ww/jFWKrODME2cw/MIwHB4Htt61tWnXychVy8XelozXsMjg8Gp3LaPScED4oszA70PfOaS2ZHT5seO+HWhZ39Iwx6gpgwa7TRlDCIHRF0fx8N0PY/b0LDa/azPu+Nod8Hc35hS2parpuhBCv36G1evuCrgAqN2njG4RygyaV9KKGggtXq9iH6LV+pBt1A9vRVEw/MIwBp8chM1hwyV3XoKuS6yzaFUtZP72tahJZryGbnC40E/TbEbZ29VoY5esgAPCF2Va8A/9+yFMHp2Er9OH7fdtb6iQAZg0aACcbWqlhBAYen4ID3/gYQSHgtjyn7aoK3432GJ85ZIkSe2SI0nagnDVJKdkKLKiDUS3skztHG4HFFlBMpI0/GIi023K4XE03LiCYrLPSyNbNRrhfBdCYPz1cZz81UlAArbcsgU9O3rYta6QGs2mtCRsCAGhLH6ZmoSme48xDdZ9cUKLHxzBxBsT6uxS9+5A6/rG6C6VzZRXPqloCuERzjZVKSEEBp8exI8/+GOERkK4+I6L8Z+/+p/hXe1lLbEw+9TC4n3VXBci80YCLExr2yCld7W4IEkSUvMpQ7ufCUX9e2SPB7ESq22vVQghMHNyBsd+fAxySkb/Df3ovaYXNpspP77qopbdpnLlhg0dk2cNMoEmPUaUlIJjjx7D2KvqYnyX/87laO1rvJABmDBoCCEQGg4hGU3C3+2HZxW7TZVDCIGTj5/Ejz/0Y4THwth611bc9m+3wbPK05AHcKUy06ZmplGtCrG4OKDDY71pbfPJrEfi9DshhEB8Lg4hr7ybhBb6FHXQvM1purcmQ5VSL47VWFy09fD3DyMVTaH3rb0YuHEANntjHx+VqGW3qVxa2LBJuq8GeMujasnuQdVk72tKWsGJx05g5MURuPwuXPbByxp6LLL53q0FMP3mNABg9ZbVbBovg1AEjv/0OH5y308QnYri8g9djlu/dCvcbe6GPYArkb0uhJyS1S5UBr/RZWabUtKKOk2rs3FaNCRJgrvFDbvLDiWtIDYbU7tKrLCGVl87I59Sa2LU+dlIH9hCCMRn43jj399AfC6O7m3duPDWC2F3WHPRy5qp0yJ0mYkMsr/MhAPBzaVZB4QrioKzz57F2afPwu6yY+v7t2L1hasb+pg0XdBIhBIInwvD4XZwysIyCEXg8A8O42cf+xnis3Hs/N2deNc/v0vr5kI5arAuRGaweUOON5AA7yovbA4b5KSM2HQMSlqp+ENDSSmQkzIkmzoFMY9ZVbPWQQh1ZrM3vv8GIucjaO9vxyXvuURdB6c5S1IQL6DJanQLP1bwkaFNOJAZD2SRsJJZauDEL09AkiRc/J8vRs9lPQ1/3poqaAghMHNqBulEGi3rW+Buddd7kyxBkRW8+rVX8Ys/+gUS4QSu/uOr8Y7/9x1wBRgyCtHGAdgkpBNpw6e6zYw3ANCQF86SJEGyS/B2eGF32iGn1LBRSR0zF5VCCLVWFm7FLOXvbEQ3s1JZ9biTkzKOPnIUs6dm4e/2Y+v7t/L9bBnaMcHyLCu7TjyWrElbt0XOChoGdN+tNiEEZk/N4ujDR6HICjb99ias37Xe0p93pTJV0FDSCqaPT0OSJHRe3Mk3zRLIKRkvffElPP6njyMdT+PaP78WN33upobqflItkl3S6pQMJw0blJY93sDusjfseANJkmBz2ODt8GozUcWmY2WvsSEU0ZDdpjLM/gFoNkpawcnHTmL8oLrq97a7t8HX2dyz5RWSbxA460SWUebCfdmtGLnPYeYxkEIIRCejeOPf30ByPoneXb0YuKl5xpqZZi+FEAiPhRGdjsLd6kZbn/WXXa+2dCKNvX+3F0/+5ZOAAPb8jz24/q+u19aJoOVJkho0MmM1DFuETix2x2rEC+ds2S0bLr8LQggkggmk5kurpRBqyFAUBXaX3fJrZ1Si2P6WOii8EQJNpv/y8AvDcLgduPR9lzbsTCxGqecgcKKVKGechhaqM41SNvWzJ/Nfs+YMbUG+fz+E+al5dF7ciYtuv8jy092XwzxXpAKYODQBoQisvmi12heX8spcnD3110/h5Ydeht1tx299/rdwxceuaKqD1wiSTYK71Y3YbAzJSFJdKM5d+cVuZgEeJa3A7lTXnGj0C4BMf1t3mxuSTUIinEAilFDHW3iL7L8AkvNJAIDL76rRFleXJEkFPzgbIQxUi1AEzh84j1P/cQqSJOGi2y9C50WdDX/+VGrJscTuQMvjqWcqkiRBZP4oRf42WnephZaMzIxm2ce7Wd9blZSCoz8+itnTswisCWDrXVuLfy42GFNclQohEJ2KIng2CIfHgc6L+eFSiBACyXASj/3pY3jpiy/B6XfiXf/yLlzxewwZlcgsQpe5Gx8PxiseryGE2lc0GVEvnJ1+p2nvslSDJElwtbjgbnGXVMsloawBx7JkrPRDsJKpbq1USyEEpo5P4dhPjkHIApt+axPWXrm2Kfovr4R24WWhv3W9sVYmU6T7VOZny4UMs1JkBaefOI2xA2Nwt7hx2T2XwdvRfOuZmePKVABjr45BTsnouKADnnaunZFPZrrHn//hz/Ha116Dd7UXt3/1dlz+gcubpq9fNUiSBFfABafXCaGoNU5FUxXNZpEIJyAUAYfb0dAXzoVkwobTt1jLQrNRCWUxlLkCroYPZflqwGlt1W0Png3i8A8OIx1Po+9tfdi4ZyPf05bB1ozycSC4OWndp/KsJK+FDDlrsgOL/P2EEBjbP4Yzvz4Dm8OGS997Kdo2NueQgJq/kwtF6PrCCyEQGg1h5uQMHG4H1uxYU+tNsgQhBOYn5vHoRx7FkR8dQcu6Ftz57Ttx0e0X8a6fESTA3epWL5CFQCKUQGw2pq2xUexCLtPSlI6nIdnUi+1mJUGCp82jDRCPzy5d1E8INWQoaXVsRqOFsmrsSyMu4CeEQGQsgkP/fgjJcBJrdqzBBe+8gGtllICtGWR1umluAV2rRm5LBgDLXOsIITD95jSO/fgYhCJwwTsvQPfl3U17rtY2aAhg8sgkjjx8BKGRkDZIZui5IShpBd3bupuyWakU4dEwHvnQIzj5y5No72/He773HgzcMMBaGUSSJG28hqfNow4QT8qIzcYQm46pA5ZlRRc6Mv+vyAoSwQSS80l1MbtWN2wOW/P+bRbuOnlWeRanvp2N6eqXjqWRmk9p9Wr01ox8qtmaYZVjLzoVxcHvHkRsOobOiztxyZ2XwO5iyCgq+09ukTu8RAUtXIlmQoUuZGQaM+zqMW6FYz18LqzOMBVNoveaXmy8fiNstuZtoa3pYHAhCwSHgojNxHDiFyfQs70HoZEQ5ifnEegJqH1yLXAQ1VpwKIgff/jHGNk3gs6LO3Hnt+5Ez/bGX+SlHiRJHcBsd9uRiqaQjqXV1cOD6mJydufCzEg2CRDq9MLphDqVbeaiudHuzldCkiTABng6PNr6GrGpmDpuRQDJSBJCCG2F8Uas13KDws30nPUSn43j0HcOYf78PNoH2nHpXZc23SDJSnGmqTJxQUPT0rpOYTFcSJKkb8mwUMiIzcRw8NsHEZuNoXtbNy687cKmb6GtadCQHBI2/dYmOH1OTLwxgdGXRgEA3g4vNv3WJk7Lmkc6nsYv/ugXGNk3gp7Le3Dnt+/kYPkqy0zZ6gqoYw3S8bTaopFWkE6kkU6kl/yO3WWHu8UNm7OJWzJySJIEm90G32of4nNxpBNpJEIJ7d9dflfTrlxfzX22Qj2VlIKjDx9FaCSE1r5WXPaBy+BucVti2+stdw0B1owagWSX1LEYOYPCrRQylLSCIz88gvC5MFYNrMK292/jdS3qML2t3WXHxus2IrAmgNBwCO4WN7q2damDQWH9PsdGc7gduPqProaSUnDLQ7eg44IOAKxTqVY8249NXWvD6XNCSStQUgrklKzddZHsEhxuh25RPqv/bQy/C7+wzkY6vhjSHF4HHG5HVV6vXspapLCK+2yFetocNvS9rQ+yLGPre7dqE4BYYdvrTbKpd3sz/dVZszIsXKuyZqWrZa0ku6Qfe5SVLazwN7M5bNiwewOUtIJtd2/TxmpaYdurqWZBQ5IkRKYiOPabY4s/bAGSSCL8RrhWm1GWZCyJtu62ur2+ZJMwemQUL9peRHpnGr/67q/qti2lCk+GsemKTfXeDHVcQCRWnSe3qV+Zpl45IQOJ5X+lGKEI2J31a16VIKk1C1epZhkLu5hKppBKplb0VIqiwOHk3SKrkSQJwfEgzkpnIdYLHN1/tN6bVFQ8Esfq3tX13gz1bi8EIFnn4qXuKzYLQEisWSXyzQRVs9fOs+p9UfUsmwTMjc1hUBqE0qfg8EuH67gxpYlH4ujs66z660iiRmeeoihIxBKWOdEznC4nnK76rO4syzJmJ2brerJXwt/mhy/gq9vrCyHUqWkttkKTTbLVbVYNIQQURanLa6+EJEl1HWRntfezbPXqiqAoCmKRmOVq5/K44HLXbzY5q9UrW72ONdasMqxb+RRFQTQctdzCkC5v9d/XahY0iIiIiIioeTTvfFtERERERFQ1lu/gfG7/OcgpGXanHeuuXFfvzbGEzErNkiTB5mDWLFV0eqFZVAJ8q+vXNcxKolNRbeCqr5M1K5UVF6mqt3P7z0FOyrC7+FlQDqEI7fOAx1ppWLPKKLKifYba7Lz2KEUjvK9ZPmicf+08kpEkXAGXZf8ItfbPm/8ZodEQWte34lNnP1XvzbEMIauL8/ENsnRKWmHNqCZO/PIEEsEE3G1ufhaUIXsBUrMMQjY71qxCIue/VNSxR49Z/n2Nn/5ERERERGQ4Bg0iIiIiIjIcgwYRERERERmOQYOIiIiIiAzHoEFERERERIZj0CAiIiIiIsMxaBARERERkeEYNIiIiIiIyHAMGkREREREZDgGDSIiIiIiMhyDBhERERERGY5Bg4iIiIiIDMegQUREREREhmPQICIiIiIiwzFoEBERERGR4Rg0iIiIiIjIcAwaRERERERkOAYNIiIiIiIyHIMGEREREREZjkGDiIiIiIgMx6BBRERERESGY9AgIiIiIiLDMWgQEREREZHhGDSIiIiIiMhwDBpERERERGQ4Bg0iIiIiIjIcgwYRERERERmOQYOIiIiIiAzHoEFERERERIZj0CAiIiIiIsMxaBARERERkeEYNIiIiIiIyHAMGkREREREZDgGDSIiIiIiMhyDBhERERERGY5Bg4iIiIiIDMegQUREREREhmPQICIiIiIiwzFoEBERERGR4Rg0iIiIiIjIcAwaRERERERkOAYNIiIiIiIyHIMGEREREREZjkGDiIiIiIgMx6BBRERERESGY9AgIiIiIiLDMWgQEREREZHhGDSIiIiIiMhwDBpERERERGQ4Bg0iIiIiIjIcgwYRERERERmOQYOIiIiIiAzHoEFERERERIZj0CAiIiIiIsMxaBARERERkeEYNIiIiIiIyHAMGkREREREZDgGDSIiIiIiMhyDBhERERERGY5Bg4iIiIiIDMegQUREREREhnPUewNWQgiBSDiCyGwEARGAEAKSJNV7s0xNCAFZkQEAsiKzZiUSQmB6ehqRcASBlgB8XT7WrYjcmvl7/KxZCYQQmJqaQiQSQSAQQGdXJ+tWhBAC0WgUkWAEASc/C0qVe6x1dXexbkWwZpVZUrce1q0YIQRi0RgiIYu/rwkLmp2dFQ888IDYvHmz2ImdYhd2iZ3YKTZv3iweeOABMTs7W+9NNJ3smn0KnxJ/jb8Wn8KnWLMisuvmh18EEBB++Fm3ZWTXLICAaEGLCCDAmhWRXTcJkvbFuhWWXbPrcJ14B94hrsN1rFkRPNbKx5pVJrtuNti0L9atsOya3YAbxLvwLnEDbrBszSwXNB577DHh9/uFJElCkiRd0Mj8zO/3i8cee6zem2oauTXLDhqsWWG5dcsOGqxbfrk1yw4arFlhuXXLvpBh3fLLrVl20GDNCuOxVj7WrDK5dcsOGqxbfrk1yw4aVq2ZpYLGY489Jux2u7DZbAKAAKALGpmf2Ww2YbfbLfWHqJZ8NcsOGqxZfvnqlh00WLel8tUsO2iwZvnlq1v2hQzrtlS+mmUHDdYsPx5r5WPNKpOvbtlBg3VbKl/NsoOGVWsmCSFE9TpmGWdubg69vb2IxWJQFEX7+U7shAsuJJHEq3hV+7nNZoPX68XIyAja29vrsMX1V6hmn8Kn0IpWhBDCA3hA+zlrpipUNz/8kCBBQGAe89rPWbfCNQsgoNUsgoj2c9ZMVahuEhb74QosvkWzboVrdh2ugwcexBHHs3hW+zlrpuKxVj7WrDKF6mbLmn9IQdbPWbeCNbsBN2jva0/hKe3nVqqZZWad+sY3voFoNKr7AyxHURREo1F885vfrPKWmRdrVhnWrXysWWVYt/KxZpVh3crHmlWGdStfI9fMEi0aQghs2bIFp0+fRu7mFmrRAABJkrBp0yacOHHCmiP1V2C5mhVq0QCau2bA8nUr1KIBNHfdlqtZoRYNoLlrBixft0J3TIHmrttyNSvUogE0d80AHmuVYM0qs1zdCrVoAM1dt+VqVqhFA7BOzSzRojE9PY1Tp04t+QMUI4TAqVOnMDMzU6UtMy/WrDKsW/lYs8qwbuVjzSrDupWPNasM61a+Rq+ZJYJGJBIp/qBlhMNhg7bEOlizyrBu5WPNKsO6lY81qwzrVj7WrDKsW/kavWaWWLAvEAgU/LcUUrr/5tPS0mL4NpndcjXLdPvJ7f6TrRlrBixft0wTeW5TebZmrBtrVpnl6laKZqzbcjVLIqn7bz7NWDOAx1olWLPKFPs8yHSlLaQZ67ZczRJI6P6bj9lrZvkxGsuxSv+1amDNKsO6lY81qwzrVj7WrDKsW/lYs8qwbuVr9JpZouuUJEm4//77K/rdT37yk6b+A1QLa1YZ1q18rFllWLfysWaVYd3Kx5pVhnUrX6PXzBItGkDhOYYLsdIcw9XCmlWGdSsfa1YZ1q18rFllWLfysWaVYd3K18g1s0SLBgC0t7fj4YcfhiRJsNmW32ybzQZJkvDII4+Y/g9QTaxZZVi38rFmlWHdyseaVYZ1Kx9rVhnWrXwNXbOVLSxee4899pjw+/1CkiQhSZK2JDsA7Wd+v188/vjj9d5U02DNKsO6lY81qwzrVj7WrDKsW/lYs8qwbuVrxJpZLmgIIcTs7Kx48MEHxebNm3V/hM2bN4sHH3xQzM3N1XsTTYc1qwzrVj7WrDKsW/lYs8qwbuVjzSrDupWv0WpmmTEa+QghMDMzg3A4jJaWFnR0dJh+UEy9sWaVYd3Kx5pVhnUrH2tWGdatfKxZZVi38jVKzSwdNIiIiIiIyJwsMxiciIiIiIisg0GDiIiIiIgMx6BBRERERESGY9AgIiIiIiLDMWgQEREREZHhGDSIiIiIiMhwDBpERERERGQ4Bg0iIiIiIjIcgwYRERERERmOQYOIiIiIiAzHoEFERERERIZj0CAiIiIiIsMxaBARERERkeEYNIiIiIiIyHAMGkREREREZDgGDSIiIiIiMhyDBhERERERGY5Bg4iIiIiIDMegQUREREREhmPQICIiIiIiwzFoEBERERGR4Rg0iIiIiIjIcAwaRERERERkOAYNIiIiIiIyHIMGEREREREZjkGDiIiIiIgMx6BBRERERESGY9AgIiIiIiLDMWgQEREREZHhGDSIiIiIiMhwDBpERERERGQ4Bg0iIiIiIjIcgwYRERERERmOQYOIiIiIiAzHoEFERERERIarW9DYs2cPJEmCJEnYs2dPvTZjCbNuFxERERGRlViyRSMUCsFms2mBoNKv73//+/XelWU1y34ajXWjWuGxVj7WjIioeVgyaBw4cABCiBU/z65duwzYmupplv00GutWPl78VYbHWvlYs/Lx/KwM61YZ1q18rFlhlgwa+/fvX/FzdHd3o7+/f+UbU0XNsp9GY93Kx4u/yvBYKx9rVj6en5Vh3SrDupWPNSvMUe8NqMSBAwd03//TP/0T7rzzzrKew+12G7lJVdEs+2k01q18vPirDI+18rFm5eP5WRnWrTKsW/lYs8IsGTRy/6A33XRTQ/5xmmU/jca6lY8Xf5XhsVY+1qx8PD8rw7pVhnUrH2tWmOWCRiQSwYkTJ7TvPR4PLr300jpuUXU0y34ajXWrDC/+ysdjrXysWWV4flaGdasM61Y+1qwwy43RePXVV6Eoivb95ZdfDofDcnmpqGbZT6OxbuXjxV9leKyVjzUrH8/PyrBulWHdyseaLc9yQSO3eerKK6+s05ZUV7Psp9FYt/Lx4q8yPNbKx5qVj+dnZVi3yrBu5WPNlme5oJHbPHXFFVfUaUuqq1n202isW/l48VcZHmvlY83Kx/OzMqxbZVi38rFmy7Nc0GiWP2iz7KfRWLfy8eKvMjzWysealY/nZ2VYt8qwbuVjzZZnqaARjUZx7Ngx7XuXy4Vt27bVcYuqo1n202isW2V48Vc+HmvlY80qw/OzMqxbZVi38rFmy7NU0Hj99dchy7L2/bZt2+B0Ouu4RdXRLPtpNNatfLz4qwyPtfKxZuXj+VkZ1q0yrFv5WLPiLBU0cpunDhw4UNbS7h/+8IfrtOXlaZb9NBrrVj5e/FWGx1r5WLPy8fysDOtWGdatfKxZcZYKGrnNU+WyytLuzbKfRmPdyseLv8rwWCsfa1Y+np+VYd0qw7qVjzUrzlJBY6VLvFvlg6pZ9tNorFv5ePFXGR5r5WPNysfzszKsW2VYt/KxZsVZZqLfeDyOI0eOaN8HAgEcOnSorOfYsGGD0ZtluGruZzgcxoEDB/DKK6/glVdewf79+3Hy5EkIIQAAZ86cKXklSyOfywhWqdupU6fw2GOP4dlnn8XBgwcxMjKCRCKB9vZ2XHrppXjHO96Bj370o+jp6Slr2yvFi7/yVfNYM/L4MNM5apWa8fxsDKxbZVi38rFmxVkmaBw8eBDpdFr7fvv27Q25vHs19/O6667Da6+9ZrrnMoIV6nbffffhG9/4Rt5/m5ycxDPPPINnnnkGf//3f4+HHnoIH/rQh1b8msuxQjhLpVL41a9+hf3792P//v04ffo0pqenMTs7C7fbjXXr1uGqq67C+9//ftx2222QJKms7a9EtY41o48PM52jVqhZM52fRgUqM56f1aqb0ftqphsBgHXqZqabAVaomSnOUVEn119/vQAgAIjrr7++6OO/9KUvaY8HIP74j//YFNtltGru5/bt27XnbWtrE3v27BFr1qzRfnbmzJm6PJcRrFC3m266SQAQPp9P3H333eLf/u3fxDPPPCMOHDggfvKTn4gPfehDQpIkAUBIkiS+973vGbYP+bz44ou6mr3tbW8z7Ll37Nihe+7cr1JrNjw8vOzzZH9de+214ty5c4btQyHVOtaMPj7MdI5aoWbNcn7ee++9JZ1Pra2t4lvf+tayz2XG87NadTN6X416jzSKFepm5LFrBCvUzAznqGVaNHL7we3cubNOW1Jd1dzP3/3d30VXVxeuuuoqXHDBBZAkCXv27MH58+fr+lxGsELd1q1bhwceeAAf/ehHEQgElmzv7bffjltvvRX33HMPhBD4xCc+gdtuuw0+n8+wfcmW2+S7Y8cOw55bLNyVA4C2tjbs3LkTx44dq+j46OjowPXXX4+rrroKAwMDWLNmDVatWoVgMIjXX38dX/nKV3Do0CG88MILuOmmm3DgwAF4PB7D9iVXtY41o48PM52jVqhZs5yfIyMjAACfz4fbb78dN954Iy666CK0tLRgeHgYP/zhD/Gd73wHoVAIv/M7vwOn04n3v//9BZ/PbOdnNd/XjNxXI98jjWCFuhl97K6UFWpm9HNVxPDoUqJyWw527typS1779+83xXYZrVb7mZG9vyu9g2Lkc5XLynXLdccdd2jP/ZOf/MTQ5872sY99TFezr3zlK4Y994MPPii++93vijfffFMoiiKEqKxmsiwLWZaXfUwqlRK33Xab9twPPfTQSjd/WbU+1nKt5Pio1zlq5ZpV87mWU63z88Mf/rB44IEHRDgcLviYf//3f9det7OzU8zPz+d9nBnPz2rVzeh9Neo90ihWqJuRx64RrFAzM5yjlph1KplM4vDhw9r3DocDW7dureMWVUez7KfRGq1uN910k/b/b775ZtVeJ/dujJGtQJ/85Cdxzz33YMuWLSvq82mz2WCzLf825XA48JnPfEb7/qmnnqr49Yoxw7FWq+PDKI1WM6ufn9/85jfxJ3/yJ0tabbLdfffduOOOOwAAU1NT+PWvf533cWY7P4Hq1c3ofTXqPdIoVqibkceuEaxQMzOco5YIGocOHUIymdS+v/TSS+F2u+u4RdXRLPtptEarW/a+2O32qr1GvS/+jNTa2qr9fygUqtrrmOFYq8XxYaRGq1mznJ9GBqpanZ9mqFut9tVIjVa3WtwMaLSaVfO4tUTQ4PgMWk6j1e3JJ5/U/r9ab1xmuPgz0re//W3t/y+++OKqvY4ZjrVaHB9GarSaNcv5aWSgqtX5aYa61WpfjdRodavFzYBGq1k1j1tLDAav5oAbM2mW/TRaI9XtpZdewq9+9SsA6uDUPXv2VOV1zHDxtxKKomBiYgLHjh3D//k//wff/e53AQAulwt/+Id/WLXXrfexVqvjw0iNVLNmOj9XEqjqdX7Wo2712lcjNVrdanEzwOo1q+Vxa4mgYYY33Vpolv00WqPULRQK4b777oOiKACAz33uc3C5XFV5rXpf/FViamoKXV1dBf+9ra0N3/3ud3HJJZdUbRvqeazV8vgwUqPUrJnOz0oClRnOz1rVzQz7aqRGqlutbgZYsWb1Om5N33UqnU7j4MGDup9Z4aKoXM2yn0ZrlLrJsox77rkHR48eBQDcdddduPfee6v2eo0SzgBAkiT8l//yX3D8+HHccsstVXudeh5rtT4+jNIoNWum89PoQFWr8xOo//taLffVSI1St1reDGiUmhn9XHkZOodVGUqdRva1117TTR82MDBgiu0yWq33M8Pq09s2Qt0URdEtRHTVVVctO33fSqVSKeF2u3V1m5ubq9rrZay0Zul0Whw6dEgcOnRIvPbaa+KJJ54Qf/u3fys2bNgg7Ha7uPXWW8Xw8LDxG76gXseakcdHrc/RRqhZs5yfQqjn2C233KK97l133VXW79bz/Kxl3aq1r/X4DG2EumWeu9Jjt1xWrVm9zlHTB42vfvWruj/mu9/9blNsl9FqvZ8ZVg8aVq+boijiD/7gD7Tn2r59u5ienjZuQ/NohHCWLRwOi3e84x0CgOjp6RFHjhwx7Lmz1eNYM/r4qPU5avWaNdP5Wa1AVavzs151y7bSfW2mm3XZVlq3Wt8MaISaVeu58jF916l6N0/VSrPsp9GsXrf7778f//qv/woA2LZtG37961+jo6Ojqq9ZzfUz6iEQCOBb3/oWvF4vxsfH8fGPf7wqr1OPY60ex4eRrF6zZjk/hRD4+Mc/jm984xsAgO3bt+Pxxx9fdr2CUtXq/DTD+1qt9tVIVq9bNY/dQqxes2o+Vz6mDxr1HhRXK82yn0azct3uv/9+PPTQQwDUmTGefPJJdHZ2Vv11rR7O8unu7sbu3bsBAM888wzGxsYMf41aH2v1Oj6MZOWaNdP5We1AVYvz0yzva7XYVyNZvW71uBlg9ZpV+7lymX7WqX379tV7E2qiWfbTaFat2yc/+Un8y7/8C4DFi5jlZoMwkpXD2XKyLwIHBwexdu1aQ5+/lsdaPY8PI1m1Zs10ftYqUFX7/DTT+1q199VIVq5bvW4GWLlmtXqubKYPGkSN5k/+5E/wxS9+EcDim2N3d3fNXt+q4ayY0dFR7f9bWlrquCUrU+/jw4qMrFm962/VcFZMtc9PM72vWem9yKp1q+fNAKvWrJbPlc30XaeIGsmf/umf4p//+Z8BqCuJ8iLSGIODg9qbv8/nw+bNm+u8RZXh8VE+I2vWTPWvZaBqlPOzFM20r0Yqp271vhlgFkYea9U8btmi0UROnjyJvXv36n52/vx57f9/9KMf6ZrOAoEA3vve91b9uczOqH399Kc/jQceeACA2kT5xS9+ERMTE5iYmCj42qtWrcL69etXuAfW9Z3vfAfvfOc7sXr16oKPmZycxF133YVUKgUAuOeee+D1emu1iYYx+vhohnPUyJo10/lpVKBqpvOzmfbVSEbXrRluBhhZMzMct5IQQhj2bGXYs2cPnnnmGQDA9ddfj6effroem7GEWbfLCF//+tfxkY98pOTHb9y4EYODg1V/LrMzal/7+/tx9uzZsl773nvvxde//vWyfscM8l3kfv7zn8fx48cBAP/wD/9Q0kXunj178OKLL+LWW2/Fnj17cOmll2LVqlVIp9MYHR3FM888g2984xuYnZ0FAFxwwQXYt2+f5QZNA8YfH81wjhpZs2Y5Pz/96U/jC1/4AgA1UH3/+98veqFWKFA10/lp9L4a9R5pdkbWzchj18yMrJkpzlFDJ8stQ73WqyjGrNtlhK997Wu6uZ+LfW3cuLEmz2V2Ru3rxo0by3oeAOLee++t6b4axaiaZZ+Pxb5uueUWMTY2VtsdNZDRx0cznKNG1qxZzk8j97OZzk+j97UZzk8hjK1bs5yjRtbMDOcou041kfvuuw/33Xef6Z7L7IzaV6vdLTaD73znO3j66afxzDPP4LXXXsP4+DgmJychyzLa2tpwwQUXYNeuXbj77ruxa9euem/uihh9fDTDOWpkzXh+lq+Zzs9m2lcjsW7lM7JmZqg/u07lMOt2ERERERFZCWedIiIiIiIiwzFoEBERERGR4erWdYqIiIiIiBoXWzSIiIiIiMhwDBpERERERGQ4Bg0iIiIiIjIcgwYRERERERmOQYOIiIiIiAzHoEFERERERIZj0CAiIiIiIsMxaBARERERkeEYNIiIiIiIyHAMGkREREREZLj/P8HZnVzUi3TJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1000x400 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.get_act(dataset)\n",
    "model.plot(in_vars=[D] + list(input_vars), out_vars=[r'$P_{11}$'], varscale=0.75, scale=1.0, out_vars_offset=0.08)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b9e1f419",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 2.91e-04 | test_loss: 3.21e-04 | reg: 2.95e+00 | : 100%|█| 20/20 [00:17<00:00,  1.15it"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model.fit(dataset, opt='LBFGS', steps=20);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c4cb8a27",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.get_act(dataset)\n",
    "model.plot(in_vars=[D] + list(input_vars), out_vars=[r'$P_{11}$'], varscale=0.75, scale=1.0, out_vars_offset=0.08)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "da08a01d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.6\n"
     ]
    },
    {
     "data": {
      "image/png": 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EaZhQVGXma4kpnVyzZfvjT44mAQXw+D1w+V1ZTTXlOh2VTTbTMJEcTsJT6oGn1JP1a3KqjGh1k1Yux944JuMycwx3D+PsqbPY9eNdOV3nnZfegQK5b2Zn3jyDgf4BfLvr2zldJ5PMwDRNqVNIpmZC13SU1WR/HPF80sm0NfW21LZlAWT94xXW91xem/+dc0RUPNLmLzbdtEnap9F0LI33fvYe+l/sx0DJQM7X23rLVqmflM9/cB6vPvEqLqy/kPO13D43EkMJlDbk/hTjaZOjkzBc2Y3WFuPxeTA5Oil1C3V8KA5d6NKuR0TOJHXFVVGUnL4A4OybZ7H/7v2YvDCJrz31Ncdkm/6aHJzE03/xNL7+669Ly2UaprR8ENlPtWWTTZjC/r2MbEYm99IjIudzzMprOpbG2//+Nvrf6seNf3cjQttDjnvmVCaewVPbn8LOH+5E65+3Sr22EELK6CoZTcJX4UMykZSQaspypr0WYWdLSsxGRI5U9L2iQghcOHYBz33rOWgJDXc8fQdad7Y6rlhM3cSv/vJXaL+jHdc9cJ3UaTZvmRfp8bSUa+kpXep9P75KH5JROWWgJbScT8QkostDUUcuwhQ4/sxxvPvTd3HDd2/A1V+52nGlAlgFuH/XfpSuLcWXf/xl6TudfBU+xM7Fct56PT0dJjOfr9yHif4JoDa36+QjGxE5V9HKRU/rOPTDQ4gcj+CrnV9F9acK86iU5RJC4OVHXsbE2Qncc/CevGScvmauU2N6Spd+I6WsbFpc4/0vRFeQokyLJaNJHLjvALRJaxqs5qoaxxbL4ccO49T/nsJdL96V1ycJq24VRjq3xe5UNJWXJy27vC7oydx2eKXG8pONiJyp4OUy3j+OZ+98Fus+uw63PHaLY08gFELgaOdRHPmvI9j9+u685yypLclpbUMIYY0uXPJLuqS2xLqJc4XsbA6c8iSi/CjoPEX0kyie73geWx/cis13bnbkaAWw3gxP/OYEXv/n13HfW/ehpK4k76+puKxtvyudfjJ1M6snCqw4m1h5NiNjnafj1P/eRCRfwUYuo5+M4rldz+HGR250fLF0/7YbL/7ti7jn4D2obK4syOsqigJVVWFq5or+fXI0mbdpJ0VRoLrUFd+jkhxJFqSgicg5ClIuEwMT2P+t/dj2T9vQ9ldtji6Wnt/14IWHXsCu3+9CbVuOW6SWKVAbQGIksex/J4SAqZt5PTa4pK4EieEVZjNMqJ6i73onogLK+//xqfEUnv2bZ3HjIzdiw20bHF8sB+4/gLtfuhv1m+oLnkH1qPbU2HLkc0ps2oqzafnPRkTOk9dyMTQDz939HK6981q0397u2DcYIQS6n+/GgQcO4K4X78KaLWuKkkNRFLg8y9+ZlRzJ35TYNEVR4PK67EPbspUYTnBKjOgKlLdyEULgpe++hLqNddj6oNwHR8okhMCJX5/A7x7+He5+6W6s/czaouYJ1AaQjCazHiFMTzvlc0psWkldCVKjKetxMFkoZDYicpa87RY79vQxjPWO4ZvPf9PRxXK08ygO/csh7Pr9LgQ3BosdCapq7aoShoDiXvrnlpnIwO13F+RnrKgKBETWRwSkJ9IFy0ZEzpKXkctY3xgOP34Yd/zyDscedSuEwB/+7Q84/Ohh7H59tyOKBQCgAIGagLV4vsQIQQiB9GS6YDcnKoqCktoSxIfiS/7d6RMqS2o5JUZ0JZI+chGmwP5v7cetP7kVgWpn3pFt6iZefuRl9L3Rh3sP3YuyNbkdqiWby+eCMAUM3Vj0cS6ZWAZuX2FHBu6AG+aIueQhYplYBi6vizdOEl2hpA8rDj9+GHXtdQhtD8m+tBSZyQz23bkPkY8iuOfVexxXLIA1QgjUWqOXhdZeTMNEOla4UcvsbCV11uhlsWyp8RRKg/IOQCOiy4vUckmNp/CnX/wJt/3nbY6cZ5/on8Avb/klAtUB3Pn8nY5+/LvL64LL40J6PH3Jm7gQAonhBPyV/qKMDNx+NxRVQXpinmymQHwoDn9VcbIRkTNILZcDHQdw856b4fY57+m3A0cG8NT2p9D+1+34yk+/4vgdTNOjFz2lIxPL2PeYmLqJxHACLo8LnlJP0bKV1pciM5lBZnImm6EZiEficPvcUs+UIaLLj7QWSI2nEA1Hsekbm2RdUprYQAy/uf03uO0/bkP7Hc693+ZiiqKgJFiCVDSFxHACikuBqZtw+93wVfiK+n0oqoKyhjIkRhLQEhoU1crmKfEUPRsRFZ+0cun7sA/tD7Tjk/c/kXVJAECgLPc1hb7TfdjyD1sg1gqcfPukhFSW0src1xT0zNI3THrKPTA0A8IQ8AQ8UF3qkv9OxpSUltGgLHG+sbfSCyNjQJgC3hIvVHcW2Vg8RKueIpb7PI8FxEZjMi5zCSEEKmorcrrGeGRcUpq5hBCoqq/K6RqmsbIHVWYj123gTs5GRM4mrVyyJUwBI2M4cpuqEMK6t0Rx3qfr6fUW1e28R9cLIWBq1sMpnZaNiIqj4B8fhz8axpPXPYnhj4YL/dJLOv/+efyo5Ec4//75Yke5hKmbiA/FYer5G02slKmZmLwwueLjAoho9eHcBBERScdyISIi6VguREQkHcuFiIikY7kQEZF0LBciIpKO5UJERNKxXIiISDqWCxERScdyISIi6VguREQkHcuFiIikY7kQEZF0LBciIpKO5UJERNKxXIiISDqWCxERScdyISIi6VguREQkHcuFiIikY7kQEZF0LBciIpKO5UJERNKxXIiISDqWCxERScdyISIi6VguREQkHcuFiIikY7kQEZF0LBciIpJOEUKIQr1YT08P9j66F3gGwDeAe//+XrS1tRXq5RfV09ODvf+6F55feKDt0nDvPzorW9d/d6G/ux9NVzeh44EO52X7qB9N7c7J1tPTg66uLoTDYYRCIXR0OCMXwGwr5dRsTs0FFDmbKJCuri6hqqpoUBvEw3hYNKgNQlVVsXfv3kJFWDJbo9oo9mCPaFQbHZfNo3pEpVIpPKrHkdmqlCrHZJvO5XK55vxa7FzMtvqyOTWXE7IVpFw+/vhjoaqqACCCCIqH8bAIIigACFVVRU9PTyFiLJltDdaIPdgj1mCN47KpUEU5yoUK1XHZXHCJClQIF1xFzzY718VfTvqZMdvln82puZySrSBrLl1dXVAUZd4/UxQFnZ2dhYgxL2ZbGadmc2ougNlWyqnZnJoLcEa2gpRLOByGWGBpRwiBcDhciBjzYraVcWo2p+YCmG2lnJrNqbkAZ2QrSLmEQiG7RaOI4hk8gyiiAKwWDYVChYixZLYRjOBn+BlGMOK4bCZMxBGHCdNx2QwYiCMOA0bRs83OdTEn/cwuxmwLc2o2p+YCHJIt7xNvwhnzf8x2ZWRzai5mW33ZnJrLKdkKtlts7969jt1VwWyrK5tTczHb6svm1FxOyFbQ+1xOnTqFzs5Oe8/1fffdhw0bNhTq5RfFbCvj1GxOzQUw20o5NZtTcwHFzVbQciEioisDH/9CRETSsVyIiEg6lgsREUnHciEiIulYLkREJB3LhYiIpGO5EBGRdCwXIiKSjuVCRETSsVyIiEg6lgsREUnHciEiIulYLkREJB3LhYiIpGO5EBGRdCwXIiKSjuVCRETS/T8LJKdXV37u5gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 500x200 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = model.prune()\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "5ea7ff33",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fixing (0,0,0) with log, r2=0.9999966767727161, c=2\n",
      "fixing (0,1,0) with x^2, r2=0.9999980195191509, c=2\n",
      "fixing (0,2,0) with x^2, r2=0.9998412733282299, c=2\n",
      "fixing (0,3,0) with x^2, r2=0.9996084382228987, c=2\n",
      "fixing (0,4,0) with 0\n",
      "fixing (0,5,0) with 0\n",
      "fixing (0,6,0) with 0\n",
      "fixing (0,7,0) with 0\n",
      "fixing (0,8,0) with 0\n",
      "fixing (0,9,0) with 0\n",
      "saving model version 0.7\n"
     ]
    }
   ],
   "source": [
    "model.auto_symbolic()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "913c6947",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 3.31e-11 | test_loss: 2.89e-11 | reg: 0.00e+00 | : 100%|█| 100/100 [00:18<00:00,  5.44"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model.fit(dataset, opt='LBFGS', steps=100);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "54c149df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(in_vars=[D] + list(input_vars),out_vars=[r'$P_{11}$'], varscale=0.75, scale=1.0, out_vars_offset=0.08)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "3b437862",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0.42 F_{11}^{2} + 0.42 F_{12}^{2} + 0.42 F_{13}^{2} + 0.28 \\log{\\left(2.5 |F| \\right)} - 0.67$"
      ],
      "text/plain": [
       "0.42*F11**2 + 0.42*F12**2 + 0.42*F13**2 + 0.28*log(2.5*|F|) - 0.67"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from kan.utils import ex_round\n",
    "\n",
    "ex_round(ex_round(model.symbolic_formula(var= [D] + list(input_vars))[0][0],5),2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a49171ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.41343859507523656"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.28*np.log(2.5) - 0.67"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d970e515",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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