Hyperparameters GMRF.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "135482c9-3fa6-47d0-b126-68638185fea4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import copy\n",
    "import torch\n",
    "\n",
    "from models.gmrf.common.obstacle_map import ObstacleMap\n",
    "from models.gmrf.common.observation import Observation\n",
    "from models.gmrf.gmrf.gmrf_gas.gmrf_gas import GMRF_Gas, GMRF_Gas_Efficient\n",
    "\n",
    "\n",
    "class myGMRF():\n",
    "    def __init__(self, sigma_gz=None, sigma_gr=None, sigma_gb=None, gtk=None, resolution=None):\n",
    "        om = ObstacleMap(dimensions=2, size=(25,30), resolution=resolution) \n",
    "        self.g = GMRF_Gas(om, \n",
    "                          sigma_gz=sigma_gz,\n",
    "                          sigma_gr=sigma_gr,\n",
    "                          sigma_gb=sigma_gb,\n",
    "                          gtk=gtk,\n",
    "                          resolution=resolution)\n",
    "        \n",
    "#    def calculate_old(self, y):\n",
    "#        \"\"\" Calculates the distribution with GMRF. Takes true distribution as input, but grabs the positions of the sparse sensor network.\n",
    "#        Must be adapted, if different sampling positions are desired.\"\"\"\n",
    "#        g_c = copy.deepcopy(self.g)\n",
    "        \n",
    "#        n = 5\n",
    "#        for row in range(int(n/2), 30, n): \n",
    "#            for col in range(int(n/2), 25, n):\n",
    "#                conc = y[row][col]\n",
    "#                obs = Observation(position=((col,30-row)), gas=conc) # adjust the y axis\n",
    "#                g_c.addObservation(obs)\n",
    "#        g_c.estimate()\n",
    "#        return torch.tensor(g_c.getGasEstimate()._data)\n",
    "    \n",
    "    def calculate(self, X):\n",
    "        \"\"\" Calculates the distribution with GMRF. Must be adapted, if different sampling positions are desired.\"\"\"\n",
    "        g_c = copy.deepcopy(self.g)\n",
    "        \n",
    "        for row in range(6): \n",
    "            for col in range(5):\n",
    "                conc = X[row][col]\n",
    "                x_pos = col*5 + 2\n",
    "                y_pos = (6-row)*5 - 2\n",
    "                \n",
    "                obs = Observation(position=(x_pos,y_pos), gas=conc) # adjust the y axis\n",
    "                g_c.addObservation(obs)\n",
    "        g_c.estimate()\n",
    "        return torch.tensor(g_c.getGasEstimate()._data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4749d1e3-cff3-4f45-8997-4ce3c123ed7f",
   "metadata": {},
   "outputs": [],
   "source": [
    "#import torch\n",
    "\n",
    "# ~~~~~~~~~~~~~~~~\n",
    "# GMRF\n",
    "\n",
    "#from models.gmrf.my_gmrf import myGMRF\n",
    "#gmrf = myGMRF()\n",
    "\n",
    "from torch.utils import data\n",
    "from data.gdm_dataset import GasDataSet\n",
    "\n",
    "dataset = GasDataSet(\"data/30x25/test.pt\")\n",
    "loader = data.DataLoader(dataset, batch_size=1, shuffle=True, drop_last=True)\n",
    "data_iter = iter(loader)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c5e74ed9-f557-4c59-9b6f-00762d1c1038",
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = dataset[5000]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f76e099d-a348-484f-ae75-6379529a5f71",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Default settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "b5d87104-3a14-4d06-8b1d-d2398c1157ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "pos = np.zeros([30,3])\n",
    "\n",
    "i = 0\n",
    "for row in range(6): \n",
    "    for col in range(5):\n",
    "        conc = X.squeeze()[row][col]\n",
    "        x_pos = col*5 + 2\n",
    "        y_pos = (6-row)*5 - 2\n",
    "        \n",
    "        pos[i] = [x_pos, y_pos, conc]\n",
    "        i += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "21d0e7e0-c41e-48c7-8e9b-7be5f7f62022",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.savetxt(\"X.csv\", pos, delimiter=\",\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "9d75b663-9439-4470-ba6b-679962e6c0e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb3581d25f0>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(X.squeeze())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "cd2b1f30-da46-4874-818a-d1358fe95006",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb358195d50>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(y.squeeze())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b99e8630-643b-4962-bc58-2c7504a0e156",
   "metadata": {},
   "outputs": [],
   "source": [
    "pos = []\n",
    "i = 0\n",
    "for row in range(6): \n",
    "    for col in range(5):\n",
    "        conc = X[row][col]\n",
    "        x_pos = col*5 + 2\n",
    "        y_pos = (6-row)*5 - 2\n",
    "\n",
    "        obs = Observation(position=(x_pos,y_pos), gas=conc) # adjust the y axis\n",
    "        g_c.addObservation(obs)\n",
    "g_c.estimate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b956cd67-0807-4ffd-9aae-78f06c525f8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "DEFAULT_RES = 0.1\n",
    "k = 0.8 # Correct for variance scale\n",
    "gz = 0.1 / DEFAULT_RES\n",
    "gr = 1.128 / DEFAULT_RES # Compensated for resolution\n",
    "gb = k * 1000\n",
    "DEFAULT_GTK = 0.012\n",
    "\n",
    "gmrf = myGMRF(sigma_gz=gz, sigma_gr=gr, sigma_gb=gb, gtk=DEFAULT_GTK, resolution=1)\n",
    "y_gmrf = gmrf.calculate(X.squeeze())[None,None,:]\n",
    "plt.figure(figsize=(3, 2.5))\n",
    "plt.imshow(y_gmrf.squeeze())\n",
    "plt.axis('off');\n",
    "plt.title(f\"sigma_gz: {gz}, sigma_gr: {gr}, sigma_gb: {gb}\")\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48be2666-0279-47c5-b855-d9f9df785a3d",
   "metadata": {},
   "source": [
    "### Hyperparameter Tuning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "eb3820eb-440f-4cdd-b5e4-77cfd3f7aca6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bxcXFlzyZZs+ePTp06JDuuusuv89JQkKCRo0apa1bt6q4uNivzi233OL3/4yMDJWWlvp9l8+cOVOVlZXq27fvxX0BDkEFSCtXrtSECRP0n//5n+rRo4dSUlI0fvx45efnW+sUFBQoIiJCKSkpfuWNGze21nHuGxUVpbi4uBrTzFFRUSotLfX9f9WqVRo9erSaNWumpUuXKi8vT9u2bdPdd9/tt9/5VF9ycBujbdw7d+7UiBEj1Lt3b7322mu17utCpKamul4eOX78uKSa72NtPP/883r44Ye1evVq9e/fXykpKRoxYoT+9a9/WevY3q+IiAilpqa61nE7xrbyc4/dX//6V910002Szt5j8emnn2rbtm167LHHJKlWAZ0knThxQsaYoI5xkyZNatX2hapfv748Hk/Ijy3nr33caWlprmXl5eU6c+ZMrfsOVvX5YTvWHo9HycnJQbVZl9cfyNKlS9WsWTONGTMm6Lp1dfjwYRUWFioqKkqRkZF+P/n5+b5gYc6cOX7b2rRpIyk059C4ceMknb2EX1du3xmHDx/W2rVra7yu6667TpJ8r+2uu+7S4sWLdeDAAY0aNUqNGjVS9+7dtX79el9bBQUFrn00bdrUt/1Squ7PNiav16sTJ074lTt/R0RHR0uq/Xf5xRTUPUgNGjTQc889p+eee07ffvut/vznP+uRRx7RkSNH9NFHH7nWSU1NVWVlpY4fP+73gQz0pVxXS5cuVatWrbRy5Uq/vw5s9x3YVB8wt3tR3Mb9/fffa9CgQWrRooXeffddRUZGBjnyuunQoYM+//zzGuXVZT//+c+DbjM+Pl45OTnKycnR4cOHfbNJw4YN0+7du13rnPt+nXvPU2VlZchP0BUrVigyMlLr1q3z+4XrloIaSPUXaG2PsVS3WZu6iI2NVdu2ba3HNjY2Vq1btw66Xc5f+7jdyvPz8xUVFaWEhISg+g9GmzZtFBsbaz3Wbdu2Dfr+o7q8/kA++ugj3X777erdu7c2btzod9PzxdKgQQOlpqZaP5eJiYmSpPvuu89vxrL6l2soziHz/+4XvZCbft2+Mxo0aKCMjIwaVxmqVQc30tl7OydOnKiioiJ9/PHHmjVrloYOHaqvvvpK6enpSk1N1f/+7//WaOPQoUO+vmxiYmJcz60Lee5V9WfPNqawsDDXWfgfqzof+RYtWuj+++8/78PrqqfEVq5c6Ve+YsWKunZt5fF4FBUV5fehzM/PDzoLpl27dkpLS9Pbb7/tV/7tt9/qs88+8ys7efKkBg8eLI/How8++CDgzWuhNnLkSO3evVv//d//7SurrKzU0qVL1b17d78TrS4aN26s7OxsjR07Vnv27KkxNVqtT58+kmoe4z/96U8hv6zo8XgUERHhd+NkSUmJlixZElQ78fHx6tKli1avXq3y8nJf+ZkzZ7Ru3bqQjbeuRo4cqU2bNum7777zlZ0+fVqrVq3SLbfcYr10WVucv/5WrVrlN0t1+vRprV27Vr17976gm3TPJyIiQsOGDdOqVat0+vRpv7Fu3rzZdwN7MIJ5/bX5az09PV2ffPKJoqOj1bt374CzyaEydOhQFRQUqKqqSl26dKnx065dO0lng4lzyzt06OBr40LPof/6r/+SJP3iF78I+Wv74osv1KZNG9fX5va9HR8fr8GDB+uxxx5TeXm5du7cKUnKzMzUpk2bfAHRuWOPi4sLOPaWLVvqyJEjfoF0eXm5/vKXv9TYNzo6ulYzOu3atVOzZs20bNkyv4SkoqIivfvuu77Mtp+KWn/Lnjx5Uv3799cdd9yha665RomJidq2bZsvE8hm0KBB6tWrl6ZNm6ZTp06pc+fOysvL8334QpmSV51SOWXKFN1666367rvv9B//8R9q0qRJUCd1WFiYcnJyNHnyZN166626++67VVhYqJycHDVp0sRvzHfccYe+/PJLvfrqq/ruu+/8TsbmzZurefPmks5+kHNzc2sVMGzfvt2XEXXq1CkZY/SnP/1JktS1a1ffX3B33323XnzxRd12222aN2+eGjVqpJdeekl79uzxS92Wap8F0L17dw0dOlQZGRmqX7++du3apSVLlgT8YF933XUaO3asnn76aYWHh2vAgAHauXOnnn76aSUlJYX0GA8ZMkTPPPOM7rjjDt13330qKCjQwoULfV/0wZgzZ46GDBmim2++WQ899JCqqqq0YMECJSQk+Kbha6Nt27aSVKv7kHJzc31pylVVVTpw4IDv2Pbt29eXQTR9+nQtWbJEQ4YM0Zw5cxQdHa158+aptLS0RqZQdna23nzzTX3zzTfWp2Bz/rqfv9XCw8M1cOBATZ06VV6vV0899ZROnTrlS8uuFhERob59+9bqPqQPP/xQRUVFvsDnyy+/9B3rX/7yl77zKScnR127dtXQoUP1yCOPqLS0VDNnzlSDBg00bdo0vzZrkw0bzOtPTExUenq61qxZo8zMTKWkpKhBgwY1PkdNmjRRbm6ubr75ZvXp00fr16/3zVDn5uYqMzNTM2fOPO99SMXFxfrggw8k/f+XrnJzc3Xs2DFfECBJY8aM0VtvvaVf/vKXeuihh9StWzdFRkbq+++/1+bNmzV8+HDXDLVz1fYcWrZsmVatWqUhQ4YoPT1dhYWFeuedd7RixQplZ2fXeNjghWYyzpkzR+vXr1fPnj314IMPql27diotLdX+/fv1wQcf6JVXXlHz5s117733KjY2Vr169VKTJk2Un5+vJ598UklJSerataskadasWb57mmbOnKmUlBS99dZbev/99zV//nwlJSVZx3H77bdr5syZGjNmjH73u9+ptLRUzz//fI37uKSzVyu2bNmitWvXqkmTJkpMTPQFqecKCwvT/Pnzdeedd2ro0KGaPHmyysrKtGDBAhUWFmrevHl1fs/mzJmjjRs3nvc+pAMHDmjbtm2SzmaJSvKddy1btlSXLl1q33Ft7+YuLS01v/rVr0xGRoapV6+eiY2NNe3atTOzZs0yRUVFvv3c7ow/fvy4mThxoklOTjZxcXFm4MCBZuvWrUaSWbRokW8/24PJJkyYYOLj42uMqW/fvua6667zK5s3b55p2bKliY6ONtdee6354x//6HpXfm28+uqrpm3btiYqKspcffXVZvHixWb48OF+GTXp6elGkuvPuZkhffv2rfUYJkyYYG3T+aCv/Px8M378eJOSkmJiYmLML37xC7N+/foabU6bNs14PB6za9eugH0/8sgjpkuXLqZ+/fomOjratG7d2vz2t781x44d8+3j9n6WlpaaqVOnmkaNGvnGkZeXZ5KSksxvf/tb337VWWzbtm3zqx/MsV+8eLFp166db3xPPvmkee2114wk88033wR8fU7vvfee6dChg4mKijItWrQw8+bNMw8++KCpX7++336SzK9//WvXNtLT0wNmNp6r+nPg9uPM5tm7d68ZMWKEqVevnomLizOZmZnmb3/7W402R40aZWJjY82JEyes/XL+up+/1dk9Tz31lMnJyTHNmzc3UVFRplOnTuYvf/lLjTYlWbNKnQJ9Nzg/p9u3bzeZmZkmLi7O1KtXz4wYMcLs3bu3RpudO3c2aWlpIXv9xhizYcMG06lTJxMdHe2Xdep2PAsLC02vXr1MSkqK7xyuzmSyPQjzXNXvt9uP83NXUVFhFi5caK6//noTExNjEhISzDXXXGMmT55s/vWvf9XqPajNOZSXl2cyMzNNWlqaiYyMNHFxcaZr167mpZdeqpGxd/r0aSPJjBkz5rx9B3r45NGjR82DDz5oWrVqZSIjI01KSorp3Lmzeeyxx8yZM2eMMca8+eabpn///qZx48YmKirKNG3a1IwePdr885//9Gvr888/N8OGDTNJSUkmKirKXH/99TV+T9geFPnBBx+Yjh07mtjYWNO6dWvzwgsvuJ5v//M//2N69epl4uLi/M4BZxZbtdWrV5vu3bubmJgYEx8fbzIzM82nn37qt4/t+6L6d8S550j1vrV5qGh1fbefYB92+YM9Sfutt94ykmq8aT9mJ06cMA0bNjT33nvvDz2UoHXt2tXceuutl7TP6hTmt95665L2eyHKy8tN+/btzcCBA3/oodRa48aNzfTp0y9pn5y/l96pU6dMRESEeeGFF+pU/6f++n8M3n//fePxeGoEKbg8XdiNDLW0fPlyHTx4UB06dFBYWJi2bt2qBQsWqE+fPurZs+elGELQ8vPzNXfuXPXv31+pqak6cOCAnn32WZ0+fVoPPfTQDz28oJw6dUr/+Mc/6vTk59pav3698vLy1LlzZ8XGxuof//iH5s2bp5/97Gd1uo/iUpk0aZIGDhzom8J+5ZVXtGvXLi1atOiHHlqt7Ny5U8XFxRd1zSjO3x+Hjz/+WM2aNdO999573n0vx9f/Y7B582aNGTPG714nXMYuRRS2du1a07lzZ5OUlGQiIiLMVVddZR544AG/tYculeoHCwb6MebsZYWhQ4eaxo0bm8jISJOUlGRuvvlms3Xr1ks+5p+CrVu3ml69epn69eubiIgIk5aWZiZMmBD0Q+5CobbH2Jiz62A1a9bMREVFmfj4eNO7d2/z4YcfXvIx/5hx/v70XOmvHwgFjzEhXPviJ6D6htZArrC35LJTfUN6IIFuaMaPF+cvgEvliguQ9u/ff97nPAR1lzt+dA4dOlQj7dUpIyPD7wna+Gng/AVwqVxxARIAAMD5hO4hJgAAAJcJAiQAAACHS5LmD1wpBobd9kMPAVe49d53fughAJcFZpAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcIn7oAQC4RDye0LVlTOjaAoAfIWaQAAAAHAiQAAAAHAiQAAAAHAiQAAAAHAiQAAAAHAiQAAAAHEjzBy6FQCn2HsvfKcZbh37sf/N4wixjsNQxVVUBOrKMjfR/AJcJZpAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcyGIDQiks3LXYE+5efnabLYssQBabLcMtUBZbVKSlPMq9i/Jye/dlZe7lgTLfyHAD8BPCDBIAAIADARIAAIADARIAAIADARIAAIADARIAAIADARIAAIADaf5ACNnS+cNiY+x16ie5lpuTp6x1THmF+4YAjxMIS3bvp6J5qmt55HfHrG15TxS6b7Ck/0sBHgFA+j+AHyFmkAAAABwIkAAAABwIkAAAABwIkAAAABwIkAAAABzIYgNCyBPpfkrZMtUk6fDA5q7ljTcctHd0vNC9PDraWqXiKvdstfwZ7ovSpj3VwNpWREmJa7k1u06SFGAhWwD4kWEGCQAAwIEACQAAwIEACQAAwIEACQAAwIEACQAAwIEsNiCEbOuNmVNnrHUabzzkXue0vY6tH0+AtdAiDx53LU9bYFmL7VCBtS1vwGw1C4/t7zFv8G2xfhuAi4wZJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAfS/IFQ8rqnn5ty9wVhJUmFp9zrVFba69geJxAo/d3yqIHIfe4p+6bU/sgAVQSf5u8J81i2hFvrGMv7GfDRADwCAEAIMIMEAADgQIAEAADgQIAEAADgQIAEAADgQIAEAADgQBYbEEKecPe/OTxRUfY6cbHuG0pLrXXqlKdlGZvCLVlk1qwze50ANaTwSPc6kfavIWNZFDdQVqBtIV+y2wAEgxkkAAAABwIkAAAABwIkAAAABwIkAAAABwIkAAAABwIkAAAAB9L8gRDyxES7b2iYYq1z5upU1/L4r0/Y+zlWGMywzkpJci0ual3ftTzu6+P2/gssY7Ol2EvyxMe7V2lif2/CDx5zLfeedF/gVwqwyK6xjw0AnJhBAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCCLDQghT6z7wrNFP7Nnav2fp99xLX95+m3WOgkltkwt+4KsRW3cs9WGzN/kWv7+7wZY24ovdl9I11S4Ly4rSVVN3bP19kyxL+Tb7gX3OmElJdY6HstCtsZYltJlEVsALphBAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCBAAgAAcPAYQ44rECqDUu9z39DIPV1dkoqudn8EQPzXhfaOCizbvAFOZ8titcWW9P+4AIvlyrpYrddaxRMf514l0GK1hwpcy70nCq11vNbFai1ju8y+Atd73R8bASA4zCABAAA4ECABAAA4ECABAAA4ECABAAA4ECABAAA4sFgtEELGslCq5/hJa52Ezy2Lq5a4LwgrSQq0zcYyhnhL1pexLEgrSabMfczy2rPYbFlkYfstbUkyZZaxVVXZ+7E2dnllqwG4uJhBAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCCLDbgUwjz2bR73bR5LuSQZW3uB1mKz1QnQDwBcqZhBAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCDNHwghT0y0+4YG9a11Tl6b7FqeuNu+wG3YsROu5SbQgqwpSa7FZ9q4jy3+a/c+JMlz9Lj7hir7YrWehHjX8spmKdY6Ed8XuLd1IsBitZaFbI2xPM6ARWwBuGAGCQAAwIEACQAAwIEACQAAwIEACQAAwIEACQAAwIEsNiCEPLGxruWn2iVb66x45mnX8jFTp1nrJO0ode/fa88iO9PWPVtt0oJVruWvTc+ytpVwpsR9Q0WFtY4tW23fg/a/01o/514nvKjYWseUlVm3AUBtMYMEAADgQIAEAADgQIAEAADgQIAEAADgQIAEAADgQIAEAADg4DEBV7cEEIxBDSe7b0hraK1zyrZY7VcBFqs9ErrFaovqsFitQrlYbRP7Qr4RB90Xq/WeKLTW8ZZa0vyNZWyX2Vfgeu87P/QQgMsCM0gAAAAOBEgAAAAOBEgAAAAOBEgAAAAOBEgAAAAOLFYLhJApd1+sNayg0FonaYcl66rYsiCsJFPqvlitvAEyso65b0sodm/LBFoQtsTSf4CMMFNZ6VoeXmzvx5aRZirc2zq78crIVgNwcTGDBAAA4ECABAAA4ECABAAA4ECABAAA4ECABAAA4ECABAAA4ECaP/ADM2Ee13KPx7287h1Z0t8rqyz7B0iLt2wzVZa2JMm2LUAdWzp/wH4AIASYQQIAAHAgQAIAAHAgQAIAAHAgQAIAAHAgQAIAAHAgiw0IIU90lGu5t1F9a52T1ya7liftPmmtE3bYkkVmWRBWkjz1El3Ly1qkuJZHHyiwtiXbYrFeS6ZcAJ6oSOs2a7YaSWwALjJmkAAAABwIkAAAABwIkAAAABwIkAAAABwIkAAAABwIkAAAABxI8wdCyBMb61p+8ppka53Pnn3Ftbznb39lrVP/dIl7/+UV1jpl6e7p/J7fH3UtL5/TwNpW5Jli9w2BHjNgSec3LZtZ64Tt+9613BtogVseAQAgBJhBAgAAcCBAAgAAcCBAAgAAcCBAAgAAcCBAAgAAcPAYY9xXvQQQtEGN3DPPTFpDa51T7ZNdy+vtLrTWCTtywr2fUC5Wu/+YtS1z3H1s3rIye/8ej3t5lPsCv4HaM7bFciXJe2Wnsa33vvNDDwG4LDCDBAAA4ECABAAA4ECABAAA4ECABAAA4ECABAAA4MBabEAImZJS13LP0ePWOsnb3euo2H29NUkylm0Bk1JPnHQtjra1VWoZlyRTXu6+wWvv38h9mwmQ+SbbmmvGa68DACHADBIAAIADARIAAIADARIAAIADARIAAIADARIAAIADARIAAIADaf5AKNnS7G3p6pJkWXjVVNlT2a3p/N4A6e+W1HhrPwFS9uskzLJYbXi4tYqxjcETaGyW18O63ACCwAwSAACAAwESAACAAwESAACAAwESAACAAwESAACAA1lsQAh5oiLdNyTXs9YpaZ3qWh7zjX2BW89xS1ZcgGw5T0KCe5XGya7l4fknrG2ZU6fd+wgL0L/lvfEk2d8bY1lg12tZFFiSTCUL2QK4cMwgAQAAOBAgAQAAOBAgAQAAOBAgAQAAOBAgAQAAOBAgAQAAOJDmD4RSdLRrcWnLFGuV9nM/dy3/8rEO1jqxxe5p7qbSfeFbyZ7Ov+feeNfydv+ftSmFlVr6L7fXsaXzH8lsbq3TaL37ArOecntHpsryd58JsGAwADgwgwQAAOBAgAQAAOBAgAQAAOBAgAQAAOBAgAQAAODgMca4p4kACNqg5Emu5Z4G9iw262K1++2L1aqg0L080GK18XHuVdLc+w/PL7C25bUsVhuw/xj3DL/QL1ZbYdlwZXzVrfe+80MPAbgsMIMEAADgQIAEAADgQIAEAADgQIAEAADgQIAEAADgQIAEAADgwGK1QAh5y8pcy8OO2VP2Y4qK3TcESmW3LNYa6KkdHksKflhJiWu5t9ySLi/JVFgWxTVee50i922eUvf3TJJMlXsdE+BxAldKOj+Ai4sZJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcCJAAAAAcWqwUAAHBgBgkAAMCBAAkAAMCBAAkAAMCBAAkAAMCBAAkAAMCBAAkAAMCBAAkAAMCBAAkAAMCBAAkAAMDh/wKch2nz34/SZQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8+fJq3LixKleu7E2vW7euJPlcD263WxMmTFC9evUUERGhsLAwRURE6KuvvirS9WB3DXfv3t3nVen1unXr5peWkZEht9utV155Jeiyg1WS57Zx48aKiIjQkCFDNHfuXH3zzTdB5fP8hZmcnOxNCwkJ8Ttu15dTpUoV7++ec9iqVSvFxMT4pV9/bi9evKiRI0eqVq1aCgsLU1hYmOLi4nTp0qUSObeBnk///u//7vP7E088obCwMG3evNmb1rdvX7ndbvXt2zfougSjKPd7MJzsv51Tp06pTZs2+vTTT72vbG40a9Ysud1uVa9ePahtFue6LuljdaMDBw6oU6dOuuuuuzRz5sxibatcuXJq06aNT9rq1avVoEEDNW7cWG632/vzyCOP+LxWffDBByVdO4fvvvuu95OO623atEn16tXzvob06N+/v4wx3la1W+XSpUvavn27unfvrri4OG96aGio+vTpo8OHD/u9NfjFL37h87untfL650Jp3Xc3U6RA6p133lG/fv00c+ZMpaenKzExUX379tWxY8ds85w6dUphYWFKTEz0Sa9QoYJtnhvXjYiIUExMjKKiovzSr+92umzZMj3xxBOqUqWK5s+fr5ycHO3YsUMDBw4sUvdUz6tKqzra1Xvv3r3q3LmzHnroIc2aNSvosoojKSnJ8rXq6dOnJf3rOCYlJUmS7bo3Hu9gJCQkKDs7W40bN9bvfvc71a9fX5UrV1ZWVlbAAPvUqVNFOq5WdYuIiLC8RiT5nOfnn39eo0ePVufOnbVq1Spt375dO3bs0H333efzmuhm7K6HsLAw77G9UaVKlYLefnGUxrm9++67tWHDBpUvX17PPvus7r77bt19992aOnVqwHzFPbeecxjMue3Vq5f+9Kc/afDgwfroo4/06aefaseOHUpJSSnyuS3q86lixYo+v3uug0CfOJSEpKQk5eXl+Xyn5uH0XDvZfzt///vftX37dnXo0EENGjQocv7rFfe6Lo1jdb2DBw+qdevWCgsL08aNG4u9Pavnxffff69du3YpPDzc5yc+Pl7GGO8r7JYtW2rFihXeAKJq1apq0KCBFi1a5N3WqVOnLMvw/DFa2tfujc6cOSNjTJHqdOOzNjIyUpKKdL+XFus/p20kJydrypQpmjJlig4dOqT3339fo0aN0vHjx/0+9PVISkqS2+32u3gDBV9OzZ8/XzVq1NA777zj8xdHUT/09Zyw77//3m+ZVb0PHz6s9u3bq1q1anrvvfcUHh5exJo707BhQ8sPpz1pnoeZ57+7d+/26967e/duxw+9hg0bavHixTLGaNeuXZozZ47GjRun6OhojRo1yjJPUlJS0Me1uObPn6++fftqwoQJPuknT55U2bJlg97O9dfD9S0obrfb9gFU0t/D2fF8A7J7926fVj632619+/Y5almQpIceekgPPfSQCgoKtHPnTv3xj3/UsGHDVKFCBT355JOWeW7VuT137pxWr16trKwsn+vM841kUTh5Ph07dszyOrALqkvK9ec6LS3Npz4nT550dB+X5PM5PT1dPXr00KBBgyRJb775puMPeot7XZfGsfI4ePCgWrVqJWOMtmzZoqpVqzrelofV8yI5OVnR0dGaPXu2ZZ7rW34ff/xxPf7448rPz9e2bdv06quvqlevXkpNTVV6erqSkpJ09OhRv214vim9fls38jRg5Ofne4MXScUaT61cuXIKCQlxXKcfGsefrVerVk2/+tWvlJmZqc8//9x2vYyMDEny+3hs8eLFTou25XK5FBER4XNRHjt2rMi99urUqaOKFSvq3Xff9Uk/dOiQtm7d6pN27tw5dejQQS6XSx988IHKlCnjfAeKqEuXLtq3b5+2b9/uTXO73Zo/f77S0tK8kX2VKlXUtGlTzZ8/XwUFBd51t23bpv379xd7vCGXy6X77rtPb7zxhsqWLXvT62HPnj1+rwJL63q4/saXrvX0s2r6DqRly5aS/K/hpUuXlsrr2qJIS0tTpUqV/D6uXLp0qS5evFjscxsaGqq0tDRNmzZNkm56bjdt2uTzgC0sLNSSJUuKVYcbuVwuGWP8zu3MmTN9ru9gOHk+LViwwOf3d999V263O+DAuSWhffv2ioqK8jvXng9sO3fuXORtFmX/g2kB6NevnxYvXqy3335bffv2LfL58CjudV0ax0q69m9Aq1atVFBQoE2bNgX9itKJTp066euvv1ZSUpJ+9rOf+f1YDXwdGRmpjIwMTZo0SdK1ntWS1LZtW3355Zd+9++8efPkcrnUunVr23p4ytm1a5dP+qpVqyzLD6aFKDY2VmlpaVq2bJnP+oWFhZo/f76qVq2q2rVr33Q7PxRBt0idO3dOrVu3Vq9evXTvvfcqPj5eO3bs0Nq1awNe1O3bt1eLFi30wgsv6Pz582rSpIlycnK8vehKsgtip06dtGzZMg0dOlTdu3fXt99+qz/84Q+qVKmSvvrqq6C3ExISorFjx+rpp59W9+7dNXDgQJ09e1Zjx45VpUqVfOrcq1cvffnll3rrrbf07bff+nSBrVq1qvevlbZt2yo7Ozuof3h37tzp7dVy/vx5GWO0dOlSSdfeh3tu3oEDB2ratGnq0aOHJk6cqPLly2v69Onav3+/z5AUkjRp0iRlZmaqR48eGjp0qI4fP65Ro0apQYMGfl2Er++yamf16tWaPn26OnfurJo1a8oYo2XLluns2bPKzMy0zTds2DDNnj1bHTp00Lhx41ShQgUtXLhQ+/btk1Ty18OcOXN07733qlGjRvrss880efLkIv8FWb9+ffXs2VOvv/66QkND1aZNG+3du1evv/66EhISgq5zdna22rZtq1deeeWm30nl5ubqgw8+kHQt4PXkP3nypGJjY73fC4aGhuq1115Tnz599PTTT6tnz5766quv9Nvf/laZmZl+va9cLpcyMjICdlufMWOGNm3apI4dO6patWrKy8vz/lX88MMP2+b7/e9/r1WrVqlt27b6/e9/r+joaM2YMcPbVbukzm2ZMmXUsmVLTZ48WcnJyUpNTVV2drZmzZpVpJZGydnzadmyZQoLC1NmZqb27t2r0aNH67777vP5zmjevHkaOHCgZs+efdPvNU6cOOH9VsnTmvzhhx8qJSVFKSkp3mAnMTFRL7/8skaPHq3ExES1a9dOO3bs0JgxYzR48GCflpsDBw6oRo0a6tevX8AeTEXZf08rz9SpU9WvXz+Fh4erTp06io+P99lm9+7dFRMTo+7du+vy5ctatGiR9/XsoEGDNHfuXH399dcBg5CiXNdW91VRjpUk7/PV8z3gzp07vd/udO/eXdK1WSRat26to0ePatasWTp+/LjPzBDXP++l4J6jgQwbNkzvvfeeWrZsqeHDh6tRo0YqLCzUoUOHtG7dOr3wwgtKS0vTK6+8osOHD6tt27aqWrWqzp49q6lTpyo8PNx77QwfPlzz5s1Tx44dNW7cOFWvXl1r1qzR9OnT9cwzzwQMWh599FElJiZq0KBBGjdunMLCwjRnzhzL4R48byneeecd1axZU1FRUX49Jz1effVVZWZmqnXr1hoxYoQiIiI0ffp07dmzR4sWLXLUql8a911Qgv0qPS8vz/zyl780jRo1MmXKlDHR0dGmTp06Jisry6eHzY299owx5vTp02bAgAGmbNmyJiYmxmRmZppt27YZST49bOwGvOvXr5+JjY31q1NGRoapX7++T9rEiRNNamqqiYyMNHXr1jV//vOfbXsd3Mxbb71latWqZSIiIkzt2rXN7NmzzeOPP+7TA7B69epGkuXP9T0fPD0zgtGvXz/bbd7Ym+TYsWOmb9++JjEx0URFRZlmzZqZ9evXW2533bp1plmzZiYqKsokJiaavn37mu+//95vveTkZNOsWbOAddy3b5/p2bOnufvuu010dLRJSEgwTZs2NXPmzPFZ78Zee8YYs2fPHvPwww976zFo0CAzd+5cI8l88cUX3vWszq9nm1aD/0kyzz77rPf3M2fOmEGDBpny5cubmJgY8/Of/9x8/PHHJiMjo8iDxuXl5Znnn3/elC9f3nucc3JyTEJCgk8vLk8Pkxt72hhjzObNm4Me7M7Ty8Xqx6rX6MKFC02jRo1MRESEqVixonnuued8esMYY8yFCxeMJPPkk08GLDsnJ8d06dLFVK9e3URGRpqkpCSTkZHh12vOal8+/vhjk5aWZiIjI03FihXNiy++aCZNmuTXqyjYc3j9sZg8ebI37fDhw6Zbt26mXLlyJj4+3rRv397s2bPH8nq7maI+nz777DPz2GOPmbi4OBMfH2969uzpdx95roNgen95rgurH6vrdOrUqaZ27domIiLCVKtWzWRlZZkrV674rLN7924jyYwaNarE9t8YY1566SVTuXJlExIS4tOT1Op8bt682cTFxZn27dub3NxcY8y/nm3B9o4K5roOdF8Fc6yMMbbH//pndqDzZFV+MM9RY+yfc8ZcGwT05ZdfNnXq1DEREREmISHBNGzY0AwfPtwcO3bMGGPM6tWrTYcOHUyVKlVMRESEKV++vHn00Uf9Bgg9ePCg6dWrl0lKSjLh4eGmTp06ZvLkyT4DU3qOxY378umnn5rmzZub2NhYU6VKFZOVlWVmzpzpdy4PHDhg2rVrZ+Lj432eVVa99oy59rxo06aNiY2NNdHR0aZZs2Zm1apVPuvYPVM95+P63syled8FcttGNvd0Gf7rX/96u6pQZGfOnDEpKSnmqaeeut1VKTWerv6rV6++peU+9dRTJi4uzuTn59/ScovDMzL8ggULbndVgrJmzRrjcrnMrl27bmm5mZmZ5p577rmlZRbXj/H5dL1p06aZ2NhY7z+2RfVj3//b7XY9R3F7FOljc6cWLVqkI0eOqGHDhgoJCdG2bds0efJktWzZsvhz3JSSY8eOafz48WrdurWSkpJ08OBBvfHGG7pw4YJ+85vf3O7qlZrNmzcrPT29VOdEGjdunCpXrqyaNWvq4sWLWr16tWbOnKmXX37Z+wrgh2b9+vXKyclRkyZNFB0drS+++EITJ07UPffcU+pz2pWUzZs368knn7Rtai8Jzz//vO6//37dddddOn36tBYsWKD169ffsp6sTvwYn083s3nzZj333HNB9b77Ke7/7XYrnqP4AbkV0dqqVatMkyZNTEJCggkLCzN33XWX+fWvf23OnTt3K4r3UVBQYK5evRrwx5hrzd2dOnUyFSpUMOHh4SYhIcE88sgjZtu2bbe8zj81EyZMMLVr1zYxMTEmIiLC1K9f37zxxhtFno+uJHgGbbX7cbvdxhhjtm3bZlq0aGHKlStnwsLCTMWKFU2/fv3Md999d8vr/EP23HPPmdTUVBMVFWWio6NNkyZNzF/+8pfbUpeb3eeeVxo/pOfT7XCn7z9QXC5j7qwpq/v376+5c+cGXOcOOyR3tNTU1IDzs93sw2z8cN3sY9WbfYgNAMG44wKpAwcO3HT8i5/97Ge3qDa43Xbv3h1wnLH4+HjVqVPnFtYIJeXGiY5v5OnxBwDFcccFUgAAACWl5AbtAQAAuMMQSAEAADh0S4Y/AO5kmSE9bncVcIdbX1iy0/QA+BdapAAAABwikAIAAHCIQAoAAMAhAikAAACHCKQAAAAcIpACAABwiEAKAADAIQIpAAAAhwikAAAAHCKQAgAAcIhACgAAwCECKQAAAIcIpAAAABwikAIAAHCIQAoAAMAhAikAAACHCKQAAAAcCrvdFQBwG7lcJbctY0puWwDwI0GLFAAAgEMEUgAAAA4RSAEAADhEIAUAAOAQgRQAAIBDBFIAAAAOMfwBcLsEGnrAZfM3jil0UI7930uuEJs62OQxBQUBCrKpG8MiAPgJo0UKAADAIQIpAAAAhwikAAAAHCKQAgAAcIhACgAAwCF67QGlLSTUMtkVap1+bZldr7kAvfbsevQF6rUXEW6THmFdxJUr9sXn51unB+rpR48+AD9ytEgBAAA4RCAFAADgEIEUAACAQwRSAAAADhFIAQAAOEQgBQAA4BDDHwClzG6Yg5DoKPs85RIs082587Z5zJWr1gsCDLMQUta6nKtVkyzTw789abutwjNnrRfYDIsgBRgagWERAPxI0CIFAADgEIEUAACAQwRSAAAADhFIAQAAOEQgBQAA4BC99oBS5gq3vs3seuZJ0veZVS3TK2w4Yl/Q6bPW6ZGRtlmu3mXdO+/Yb60nJ644Kdl2W2GXL1um2/YmlCQFmNAYAH4EaJECAABwiEAKAADAIQIpAAAAhwikAAAAHCKQAgAAcIhee0Aps5tPzpy/aJunwsbvrPNcsM9jV44rwFx34UdOW6ZXnGwz1953p2y3VRiwd54Nl93fcoVF3xbz8wG4DWiRAgAAcIhACgAAwCECKQAAAIcIpAAAABwikAIAAHCIQAoAAMAhhj8ASluhdbd8c8V6YmBJ0tnz1nncbvs8dsMsBBoWwGYIhvBvrIcyMHn2QynoatGHP3CFuGyWhNrmMTbHM+CQCQyNAKCU0CIFAADgEIEUAACAQwRSAAAADhFIAQAAOEQgBQAA4BC99oBS5gq1/nvFFRFhnycm2npBXp5tHkf90mzqplCbXnO2vezs8wTIIYWGW+cJt380GZvJkQP1grSb0JnefACKixYpAAAAhwikAAAAHCKQAgAAcIhACgAAwCECKQAAAIcIpAAAABxi+AOglLmiIq0XpCTa5rlYO8kyPfbrM/blnDxblGpdk5hgmXypZjnL9JivT9uXf8qmbnZDD0hyxcZaZ6lkf2xCj5y0TC88Zz3RsxRgsmVjXzcACAYtUgAAAA4RSAEAADhEIAUAAOAQgRQAAIBDBFIAAAAO0WsPKGWuaOsJiC/dY98z7ZnXl1imvzmih22euMt2PdPsJ+a9dLd177yOr22yTF/zYhvbbcXmWk+obK5aTzIsSQWVrXsn7h9qP6FznT9Z5wm5fNk2j8tmQmNjbKZUZjJjAEGiRQoAAMAhAikAAACHCKQAAAAcIpACAABwiEAKAADAIQIpAAAAh1zG0M8XKE3tk4ZYLyhv3Y1fki7Vth4aIfbrs/YFnbJZVhjgFreZtDjXZliEmACTJst20uJC2yyu2BjrLIEmLf7ulGV64ZmztnkKbScttqnbT+yxuL7QejgNAMVHixQAAIBDBFIAAAAOEUgBAAA4RCAFAADgEIEUAACAQ0xaDJQyYzNhruv0Ods8cbttJtm9bD0xsCQp0DI7NnWItenlZmwmJpYkk29dZxXa99qz6zUXcsBmW5JMvk3dCgrsy7Hd2E+rdx6AW48WKQAAAIcIpAAAABwikAIAAHCIQAoAAMAhAikAAACH6LUH3C4hLvtlLutlLpt0STJ22ws0155dngDlAAD+hRYpAAAAhwikAAAAHCKQAgAAcIhACgAAwCECKQAAAIcIpAAAABxi+AOglLmiIq0XJJezzXOublnL9Ph99hMdh5w8Y5luAk3Mm5hgmXzxbuu6xX5tXYYkuU6ctl5QYD9psSsu1jLdXSXRNk/Y4VPW2zoTYNJimwmNjbEZ5oHJjAEEiRYpAAAAhwikAAAAHCKQAgAAcIhACgAAwCECKQAAAIfotQeUMld0tGX6uXvL2uZZ/P9et0x/8vkXbPMkfJ5nXX6hfa+5i7Wse+cNmrzMMn3WiK6224q7eNl6wdWrtnnseud985z933g1p1jnCb2Ua5vH5OfbLgOA4qBFCgAAwCECKQAAAIcIpAAAABwikAIAAHCIQAoAAMAhAikAAACHXCbgjKYAiqt9ytPWCyqm2OY5bzdp8d8DTFp8vOQmLb7kYNJileSkxZXsJ3QOO2I9aXHhmbO2eQrzbIY/MDZ1+4k9FtcXLrndVQB+smiRAgAAcIhACgAAwCECKQAAAIcIpAAAABwikAIAAHCISYuBUmauWE/aG3LqrG2ehM9tepnl2kwMLMnkWU9arMIAPdBOWi+Ly7Xelgk0MfBlm/ID9IAzbrdlemiufTl2PfDMVettXVt4Z/TOA3Dr0SIFAADgEIEUAACAQwRSAAAADhFIAQAAOEQgBQAA4BCBFAAAgEMMfwD8AJkQl2W6y2Wd7rwgm2EB3AU26wcYLsBmmSmw2ZYk2S0LkMdumIOA5QBAKaFFCgAAwCECKQAAAIcIpAAAABwikAIAAHCIQAoAAMAheu0BpcwVGWGZXli+nG2ec3XLWqYn7Dtnmyfke5teczYTA0uSq0y8ZXp+tUTL9MiDp2y3JbtJgwttegYG4IoIt11m2zuPTnsAbgNapAAAABwikAIAAHCIQAoAAMAhAikAAACHCKQAAAAcIpACAABwiOEPgFLmio62TD93b1nbPFvfmGGZ3nz4L23zlLtw2br8K1dt8+RXtx7mwPXyCcv0K+OSbbcVfjHXekGg4RdshjkwqVVs84R8c9gyvTDQRMcMjQCglNAiBQAA4BCBFAAAgEMEUgAAAA4RSAEAADhEIAUAAOCQyxhjPdMpgBLRvrx1TztTMcU2z/l6ZS3Ty+w7a5sn5PgZ63JKctLiAydtt2VOW9etMD/fvnyXyzo9wnqi50DbM3aTJktS4Z3dbW994ZLbXQXgJ4sWKQAAAIcIpAAAABwikAIAAHCIQAoAAMAhAikAAACHmGsPKGXmcp5luuvEads8ZXda51Gu9Xx6kmRslgXsmHvmnGVypN228mzqJclcuWK9oNC+fCPrZSZATz/ZzalnCu3zAEApoUUKAADAIQIpAAAAhwikAAAAHCKQAgAAcIhACgAAwCECKQAAAIcY/gAobXbDD9h145ckmwl4TYF9F3/bYQ4KAwwLYDNkgG05AYYycCTEZtLi0FDbLMauDq5AdbPZH+ZsB1BMtEgBAAA4RCAFAADgEIEUAACAQwRSAAAADhFIAQAAOESvPaCUuSLCrReULWOb53LNJMv0qH/aT3TsOm3TCzBA70BXXJx1lgplLdNDj52x3ZY5f8G6jJAA5dscG1eC/bExNhMtF9pMDi1Jxs2ExgBKBy1SAAAADhFIAQAAOEQgBQAA4BCBFAAAgEMEUgAAAA4RSAEAADjE8AdAaYuMtEzOS020zVJv/G7L9C9/39A2T3Sudfd/47aeAFmyH+Zg/1Oxlul1/r/tphSSZ1P+Ffs8dsMcHG9b1TZP+fXWEw27rtgXZAps/mY0ASaOBoAg0CIFAADgEIEUAACAQwRSAAAADhFIAQAAOEQgBQAA4JDLGGPdBQZAiWhfdpBluivZvtee7aTFB+wnLdaps9bpgSYtjo2xzlLRuvzQY6dst1VoM2lxwPKjrHs0lvykxVdtFtwZj7/1hUtudxWAnyxapAAAABwikAIAAHCIQAoAAMAhAikAAACHCKQAAAAcIpACAABwiEmLgVJWmJ9vmR5y0n4og6hLudYLAnXxt5m0N9AIJy6boQlCLl+2TC+8YjOMgCRz1WZyZFNon+eS9TJXnvUxkyRTYJ3HBBhm4U4Z5gDArUeLFAAAgEMEUgAAAA4RSAEAADhEIAUAAOAQgRQAAIBDTFoMAADgEC1SAAAADhFIAQAAOEQgBQAA4BCBFAAAgEMEUgAAAA4RSAEAADhEIAUAAOAQgRQAAIBDBFIAAAAO/R90Mud5RdesJAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "l_sigma_gz = [10, 100]\n",
    "l_sigma_gr = [10, 100]\n",
    "l_sigma_gb = [10, 100]\n",
    "l_gtk = [0.00001, 0.012, 1.0]\n",
    "l_resolution = [1]\n",
    "\n",
    "for gz in l_sigma_gz:\n",
    "    for gr in l_sigma_gr:\n",
    "        for gb in l_sigma_gb:\n",
    "            for gtk in l_gtk:\n",
    "                for resolution in l_resolution:\n",
    "                    gmrf = myGMRF(sigma_gz=gz, sigma_gr=gr, sigma_gb=gb, gtk=gtk, resolution=resolution)\n",
    "                    y_gmrf = gmrf.calculate(X.squeeze())[None,None,:]\n",
    "                    plt.figure(figsize=(3, 2.5))\n",
    "                    plt.imshow(y_gmrf.squeeze())\n",
    "                    plt.axis('off');\n",
    "                    plt.title(f\"sigma_gz: {gz}, sigma_gr: {gr}, sigma_gb: {gb}, gtk: {gtk}, resolution: {resolution}\")\n",
    "                    plt.show();\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4dab6248-8cee-42d3-b13b-df5c5c3fa0c3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}