Lugovtsov/6.9.1-kuri-veic-law/plots.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 6,
"id": "d83b90d9-2c29-41df-a57d-4b882e24c3cf",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"# %load /home/glebi/git/experiment-automation/processing_tools.py\n",
"import numpy as np\n",
"from scipy.optimize import curve_fit\n",
"import pandas as pd\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"import scienceplots\n",
"\n",
"plt.style.use(['science', 'russian-font'])\n",
"\n",
"matplotlib.rcParams.update({\n",
" 'figure.figsize': [6, 4],\n",
" 'savefig.facecolor': 'white',\n",
" 'figure.dpi': 150.0,\n",
" 'font.size': 12.0,\n",
" 'savefig.dpi': 250.0\n",
"})\n"
]
},
{
"cell_type": "markdown",
"id": "33e783a5-ce1b-46b5-98d6-3c12dc541ab1",
"metadata": {},
"source": [
"Тводы = 24 +- 0.5 град"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "8d94c051-6f00-449a-8bbc-7c75d0ec3eeb",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"T0 = 24\n",
"k = 0.041 # мв/град.цельсия"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "2707c9c0-f2f0-4293-9a88-7d7e53e04fdd",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"df = pd.read_csv(\"data.csv\", sep=\"\\t\")\n",
"cols = df.columns\n",
"U = df[cols[0]]\n",
"f = df[cols[1]]\n",
"f0 = 857 # кГц"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "c119caab-9f68-4646-816d-9f73e62c7d45",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T = U/k + T0 + 273.15\n",
"kappaRev = f**2 / (f0**2 - f**2)\n",
"\n",
"plt.plot(T, kappaRev, \".--\", lw=.75, markersize=8)\n",
"plt.xlabel(fr\"Температура, $K$\")\n",
"plt.ylabel(r\"Магн. прониц., $\\frac 1 \\kappa \\sim \\dfrac {f^2} {f_0^2 - f^2}$\")\n",
"\n",
"plt.savefig(\"plot1.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "3636222e-9c1f-46bb-a6f9-97605e6001fd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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RBWenbR8eeeVTzDrhEJxzwiHhH6h3H3DDxa6RH7dlfwVmnh1piAkjIZMfxSDVIzZs2IA5c+Zg6tSpmD9/Pnbv3u15beXKlSgtLcVtt8W/7B4RERERkVy++HYXxo5W4e5508M/iMMBLL4M2PSut+2me4ELfhNxfIkkIau9KZVKOBwOn7ampiYUFRVBp9MhOzsbLS0tUCgUsFqtOOoo13ONdXV1WLBggd++6chd7S2cKhhERERElFz22x0YqYpg6ojxZuDpB73bJRXAktWylLQeTiT3uUmzyKnRaITZbEZhYaGnra6uDnq9HlarFZmZmcjJyZExQiIiIiKi+Prwyy5Mm6SNLPF56kHfxOfM84Hb/pyQiU+kEvKxt0AEQfBJfACgvLwc9fX1KC4ulikqIiIiIiJ5tLT9iNOXvII15i/CP4j5WWDlLd7t4/KBVfXAiKQZIwlJ0iQ/g80D0ul0WL16NRYsWBDniIiIiIiI5CFJEu5s2Iixo0ag+JQwS1tvfAeouty7ls9hRwGPvgiMGRu9QBNM0qR0giCgvb0doihCFEVcffXVPq9VVlaipKRExgiJiIiIiOLDsvlbvPnp97jtkmk4eNyo0A/Q/oWrsptnLR8tsPoV4KAIqsUlgaQpeAAAixcvRmNjIxQKBbZs2eL3uiiKKCgoQGdnZzzCTGgseEBERESUmpxOCacveQU7u3uxaeVFyBwd4r1ex/fA5acCO0TXtkoN1JmBgl9EP9gYiOQ+N6mSHwoekx8iIiKi1PTmpztx/vIm3HdFAcr1Pwtt5317gatnAR/+z9tW8wxw3vzoBhlDTH7ID5MfIiIiotTV0vYjTjxqPNQjQqjy5nAAtxQDG/7lbbvZCPy+MurxxVIk97lJU/DArbu7G1VVVdi0aZPcoRARERERxVW/wwkAKMg7KLTER5KAmpt9E5/SBcBVi6IbYIJLuuRn+fLlqK2txaxZs+QOJSnY7XbY7XaOpBERERElue69fZhR+W88/aYY+s5/fwD4v0e822dfBCx+OKnW8nE4HJ5723AlXfIDAE1NTairq/NpW7VqlUzRJDaNRgO1Wo3q6mq5QyEiIiKiCDz08qdo/6EHR2SPCW3HV03Aqlu928cXAMZnkm4tn+rqaqjVamg0mrCPkXTJjyiKsNlsmDt3rk+72WyWKaLE1tPTg76+PixZskTuUIiIiIgoTN/Z9uHP//kMhSccgrOPD6EctfUt4LbfercPzwX+/CIwJvwEQi5LlixBX18fenp6wj5GcqV7AIxGI4qKirBt2zbo9XrMnj0bhYWFcoeVsFQqFQseEBERESW55c9txr4+B+6eNz34nbZ9Dtz4S6Bvv2s7K/untXwmxiTGWFMqlVAqQ5jnFEBSVnvr7u5GbW0t6urqIIoiFD89qygIAnQ6HWbOnAmdToeCggKMGzcuXmEnFFZ7IyIiIkoNX3y7Cz+veglzT56Evyw4PbidftzpWsvn622ubfVI11o++WfGLtA4SetS193d3TCbzSgvL0dBQQFaWlpgs9k8CZFWq0VBQYEnKdLr9WmREDH5ISIiIkoNe/f3Y435C1zy80nInTA2iB16gD+cA3zU7G1bWQ+cOy92QcZRWic/brNnz8b69esBuBKilpYWWK1WNDc3w2q1QhRdVTEUCgUEQcA111yDuXPnYvLkydEOPyEw+SEiIiJKQw4H8MdLgdde8LYtXAX87tbB90kyabXOz2B0Op3n/7OyslBYWIhFixahoaEBW7duhdPpRGtrK1avXo0ZM2Zg9erVyMvLY5U4IiIiIkpIkiTB8HQr3vn8+2B3AJbf6Jv4/Pp64IpbYhNgEkqZkZ9w2Gw2rF27Fp2dnVi+fHnM3y+eOPJDRERElNzWb/oGc+97DXdcOg2GX00bfoe/rgLuG7Bo6dkXAw+uAyIsEpBoOPITpvb2dlRUVCAB8z8iIiIiSmMOpxN3NmzEhKxRuO7cY4bf4T/1vonPtJ8DNc+kXOITqaQrdR1Ns2bNgkKhQHl5ecj7WiwW1NbWwmazQRRFCIIAo9Ho8/jdQKIowmg0QqvVerarqqqi1p+IiIiIkt+eXjvWNm2BedM3+PgrG1b8Roexo4YZ3Wh9E7jtCu/2EQLwyL+B0SEuhpoG0jr5aWhoQF1dHUpLS0Par6amBgBgMpk8bRUVFcjPz0dlZSWMRqNPf6vVipKSEpjNZgiCAMD1yF1+fj6MRiOKi4sj6k9EREREyW9Prx2zl5mxebvN0/b0myJ+d3be4AmQ+JlrLR97n2vbvZZPzoTYB5yE0vqxN71ej4aGBkyfPj3ofURRREdHByorK33aa2trodPpUFNTA4vF4vNaSUkJKioqPIkM4CrBbTQaUVZWBpvNFlF/IiIiIkp+a5u2+CQ+APDRVzasbdoSeIcfdwLXngfs6nJtq0cCj7wATP5ZbANNYmmd/ISjtrYWM2fODPhaVVWVp4+bxWKBKIrQ6/V+/YuLi2Gz2VBXVxd2fyIiIiJKDeLO3cG37+0Brr8Q+Lrdta1QAMufBmYEuQhqmmLyEyL3I2mBEhD3fByr1eppM5vNAOAzijOQVqtFfX192P2JiIiIKDUIEzODa+/vByrnAx+3eNsW3gfM5tSI4TD5CVFRURG0Wi0KCgr8Xgv0OJr7ETh34YIDCYLgkyyF2p+IiIiIUsPVs6ZgtNq3Otu0SVqUFU71NkgSsOJG4PUXvW2X3Qj89o/xCTLJpXXBg3BUVlb6zfdxa2lxZd8DK7KJojhoIhNIqP2JiIiIKDVs3m7Dvj4HCqcdgiNzNBAmZqKscKpvsYMnaoD61d7tWb8CFt3veuyNhjVs8rNhwwYYjUaIooj8/HysXbsWmZmuobeVK1eipaUFeXl5uPfee2MebKJzV39zz/0BXKNBwSQz7n6h9h+O3W73a8vIyICSNd+JiIiIEspDL3+KMWol/nLN6cjJHOnf4eVngAcXe7dPPBlY8Y+UXsvH4XDA6XT6tAW6vw3WkI+9NTU1Qa/Xo6OjA7m5uVi/fj0mT56ML7/8EgCwaNEiFBYW+pV2TkcWiwUWiwWVlZVhrcXT2dkZk/4ajQZqtdrnp7q6OuT4iIiIiCh2vvh2F17+4Gv89hd5gROf5teBO670bh+ZlxZr+VRXV/vdy2o0mrCPN+TIj9FohNlsRmFhoaetrq4Oer0eVqsVmZmZyMnJCfvNU4XNZkNJSQmKi4v9EsFQH2GL9iNvPT09UKl868JnZHCqFxEREVEiqTN/gQyFAtfOOdr/RfFT4KZfedfy0ea41vLJPjiuMcphyZIluP32233a7HZ72AnQkHfBgiD4JD4AUF5ejvr6+oRfaHPXrl1xe6+ysjLo9XqfRU/dsrOzgzqGu1+o/YejUqn8fvjIGxEREVFiuavkJDzzxzP9K7v98C2w4Dxgt821PXKUa8TnqKl+x0hFSqUy4P1suIZMfhSDTJzS6XRYvXo1FixYEPYbx9r48ePj8j4GgwEAAiY+ADzzeAbjfs094hNqfyIiIiJKfpmjVTh/xhG+jXv3ANddCHzjmnLiWctn+qnxDzBFDDvy097ejg0bNuDxxx/3e62yshLLly+PaYDhkiQp5u9RV1cHURT9Eh9RFD3/7y6JPVhCI4qizxyhUPsTERERUfLau78flz/yJprbfvR9ob8fWFgKfDpgiZNF9wNFc+MbYIoZMvlZtGgR1qxZg/Ly8oBFDXJzc9HQ0ICsrKyYBRiuwUatosViscBsNgcc8Rl4rioqKgD4JkRu7gSntLQ07P5ERERElLz+8aaI55u/wvfdvd5GSQL+dB3w5svetsv/yLV8omDYme8rVqzA1q1bsWXLloCvC4IQcqWyZOce7RnsUbeBdDodBEFAfX2932sNDQ3QarUoLy8Puz8RERERJSeH04k//+czTD10HM6bfrj3hb+sABrrvNv6S4GFq+IfYApi2a8Q2Ww25Ofno6WlBfn5+X4/48eP95uPYzKZPI/IDTyO0WhEU1NTxP2JiIiIKPm82Po1xO/34IZzj0FGxk9PLb34D+Ch27ydTjzFNc+HBauiYthFTt26u7uxYsUKzJ8/HyeddFIsY0poJSUlsNlssFqtg/aZOXOmz7ZOp0NraysMBgMEQUBOTg6am5tRW1sbcP5OqP2JiIiIKPk8/MqnOHjcKPz69FxXw/v/BZZc5e0waQrwyAvAqNHyBJiCFFKQlQEWL16Muro6KBQKdHR0xDQopVIJh8Mh+zGSmd1uh1qtRl9fX0TlAImIiIgo+vb02nHFn9/CKVMPRuUvTwC2fgxccTqwu9vVYfxBwNPvuhIg8hHJfW7QIz8A0NTU5DcRf9WqVVi4cGFIb0pERERElM7GjlJh3cJzXBWKv//mp7V8fkp83Gv5MPGJuqDn/IiiCJvNhrlzfcvrmc3mqAdFRERERJSqftjVi1377AAAxd49wPUXAt995XpRoQCM/wecdIqMEaauoJMfo9GIsrIyKJVKzJkzB/fddx82btwYw9CIiIiIiFLPn9Z9iBNueR7du/YCt84DPv3A+6LhIaDwEvmCS3FBz/kBXEUPamtrPZXI3GvpCIIAnU6HmTNnQqfToaCgAOPGjQs7KM75iRzn/BARERElnh929eK4m5/HnJMOxdOdTwHPPu598YpbgEX3yRdckojkPjek5Geg7u5umM1mlJeXo6CgAC0tLbDZbJ6ESKvVoqCgwJMU6fX6oBMiJj+RY/JDRERElHiWP7cZ9z63GZ8c+xGO/L/l3heK5gKrGoAMrkQzHFmSH7fZs2dj/fr1AFwJUUtLC6xWK5qbm2G1Wj0FEhQKBQRBwDXXXIO5c+di8uTJgx6TyU/kmPwQERERJZa9+/tx3C3P45r972Px/2q8L0w/DVhrYUnrIMWt2lsgA9edycrKQmFhIQoLC336fPDBB2hubobFYsHq1atRWVkJo9EY0ypxEeZ0KcNud02my8jIgJKLYxERERHJ5p9vb8Px31hRue0Bb+NRU7mWT5AcDgecTqfn/jYcEY+rrVixYtg+M2bMQHl5ORoaGrB161Z0dHRAkiRUVVVF+vaD0uv1MTt2MtFoNFCr1aiurpY7FCIiIqK0Nm/CHjy342FkOH66ec8+GFj9CqDNkTewJFFdXQ21Wg2NRhP2MSJ+7C0cGzduhCAIuPfeewMmT+n+yFo0uIcDe3p6oFKpOPJDREREJKedXwOXnQLs3OHaHjUaeOI1YNrPZQ0rmQwc+dFoNGE99ibLjKpZs2YhNzfXUxyBYkelUkGlUjHxISIiIpJLz258+5tZ3sQnIwOo+ScTnxAplUrPvW24ZEl+GhoaUFhYiNLSUjnenoiIiIgoPux22K65GId+/4W3bfHDwDkXyxdTGpPlsbfh8LG3yLHaGxEREZHMJAm462rguSe8bVcuBG5dKV9MKSCS+1wWEiciIiIiioXaZb6Jz5x5wM1G+eIhJj9ERERERFH3/N+AR+/0bO474VTgT3/jIqYy49knIiIiIoqmdy3A0qs9m99kTcLoNS8CI0fJGBQBTH6IiIiIiKLn8w+Bmy8F+vtd29kTkPN0E5CVLW9cBIDJDxERERFRdHy3A7j2fKBnNwBAGjUGeOwljJw8RebAyC1pkp8NGzZgzpw5mDp1KubPn4/du3d7Xlu5ciVKS0tx2223yRghEREREaWtPbuA6y4Avv8aAOBUZOD3udfj0ywmPokkKZKfpqYm6PV6dHR0IDc3F+vXr8fkyZPx5ZdfAgAWLVqEwsJCGI2snkFEREREcWa3A7cUA1986GlacWw5rJNOx88OGydjYHSgEXIHEAyj0Qiz2YzCwkJPW11dHfR6PaxWKzIzM5GTkxP08Xbt2gUAGDeOFyMRERERRUCSgLvLgXfNnqa28xdg+bdn4P5zj4GS1d0SSlL8aQiC4JP4AEB5eTnq6+tRXFw87P4bN27EvHnzoFQqoVQqMX78eIwfPx5KpRKlpaXYtGlTrEInIiIiolS25h7g+b96t8+bj+syf4nssSNx2ZmCbGFRYEkx8qNQKAK263Q6rF69GgsWLIBerw/Yp6mpCRUVFSguLsaaNWuQne2qtNHZ2QmbzYa2tjYUFxejtrYWs2bNitlnICIiIqIU86+/Ao8t9W7n/wItv1+Ft+99HYt/dQLGjEyKW+20khR/IoIgoL29HaIoQhRFXH311T6vVVZWoqSkJOC+jY2N2Lp167DvsWDBAiY/RERERBScd9YDd5d5t3OPAR56DlNVY3FP6XRczlGfhJQUyc+iRYuwePFiNDY2QqFQ+CQ/AJCbm4uGhgYUFBT47SsIwV14wfYjIiIiojT3+SZXgQP3Wj45E4HVrwBZ2cgCcPMFx8kaHg0uKeb8AMCKFSuwdetWbNmyJeDrgiCgs7PTr10UxaCOH2y/ZGO322G32+FwOOQOhYiIiCj5fbcDuPYCz1o+GD0GePQl4PDJePK/W/HmpzvljS+FORwOz71tuJIm+QmXTqdDaWkp1q1bhw0bNmDjxo1ob29He3s7Nm7ciHXr1mHOnDnIz8+XO9SY0Gg0UKvVqK6uljsUIiIiouS2uxtYcJ5nLR9kZACrGoDj89Gxez8W/6MVj776ubwxprDq6mqo1WpoNJqwj6GQJEmKYkxRoVQqBx2p6O7uxooVKzB//nycdNJJQR2vrq4ONTU1EEXRp3iCJEnIy8tDZWUlysrKhjhC8rHb7VCr1ejp6YFKpUJGRgaUSqXcYRERERElJ3sfsOB84H9N3rY7a7HnoquwtmkLnvvfdnzQ3ol/LTobhdMOky/OFOZwOOB0OmG326HRaNDX1weVShXSMZIu+Vm8eDHq6uqgUCjQ0dER0nG7u7vR0tICm80GrVYLQRCQm5sbjZATjjv5CeeiICIiIqIBJAm440rghb97266uwp6KuzF7mRmbt9s8zdMmabH+jiKMHcX7r1iJ5D43KQoeHKipqclvjs6qVauwcOHCIffLysryWy+IiIiIiGhIjy31TXzO/w1wwzKsfeUzn8QHADZvt2Ft0xYWPUhQSTfnRxRF2Gw2zJ0716fdbDYPsgcRERERUZjW/cW1kKnbzLOB6ieAjAyIO3cH3GWwdpJf0o38GI1GFBUVYdu2bdDr9Zg9ezZHc4iIiIgo+t5+FbinwruddxzwwDpAPRIAIEzMDLjbYO0kv6Sb8wO45u7U1tairq7Op4iBIAjQ6XSYOXMmdDodCgoKMG7cuHiFnVA454eIiIgoAp9tBH53JrB3j2v7oEOAf7wHHHYUAGDLt7twt2kjtny3G5/s6Pbsxjk/sRfJfW5SJj8DdXd3w2w2o7y8HAUFBZ6CBu6ESKvVoqCgwJMU6fX6tEiImPwQERERhenb7cBlpwA/fOvaHq0B/voGcJwOANC5Zz9m3b0eO7v34d+GWXjzs+8h7twNYWImygqnMvGJsbROftxmz56N9evXA/BWdbNarWhubobVavUUSFAoFBAEAddccw3mzp2LyZMnRzv8hMDkh4iIiCgMu2zA784Atn7s2lYqgUf+DZx5HgCgr9+BS1a+hjc/24n6P56F82YcLl+saSrtqr0FotPpPP/vrup24FygDz74AM3NzbBYLFi9ejUqKythNBqHrRJHRERERGnA3gfcfKk38QGAO1Z7Eh9JknDz31rwxqc7sfw3OiY+SShlRn7CYbPZsHbtWnR2dmL58uUxf7944sgPERERUQgkCbjtCuDFp71tZbcDNy7zbFrFDpx996u48uwpeOjKmZ5pFhRfkdznJl2p62hqb29HRUUFEjD/IyIiIqJ4emSJb+Jz0W+BG6p9uuiEHLxcVYj7flvAxCdJpXXyM2vWLOTm5vLiJSIiIkpnjWuBtX/ybv/8HODux4Gf7hE/2t6Fj7+yAQDOOGYiVCPS+hY6qaX1n1xDQwMKCwtRWloqdyhEREREJIc3XwGWLfBuTznetZaPSg0A2Gnbh5L7X8e8B15HX3/sp2VQbCXknJ+MjAw4nU65w0hqnPNDRERENIxPrMCVvwD29bi2JxwGPP0ucOgkAMC+vn6cf28TNn7ZiRcqZ+HMYyfKGCy5pdycHyY+RERERBRT33wJXHeBN/EZMxZ49CVP4uN0Srim7j20iB148MqfM/FJESlT6poCs9vtAFyjaUqlUuZoiIiIiBJAdxew4Dzgx+9c20olcH8jcMx0T5f7XvwE697fjhvPOxa/OytPnjjJh8PhgNPp9NzfhiMhR34oejQaDdRqNaqrq4fvTERERJTq+va71vIRP/W23VUHnD7Hp9slPz8S184+GveUnhTnAGkw1dXVUKvV0Gg0YR8jIef8UOTcz0L29PRApVJx5IeIiIjI6QSqfgu8/H/etmvuBK6727PZ1dOH8Rq1DMHRcAaO/Gg0mtSZ80PRo1KpoFKpmPgQERERPXKHb+Jz8RXAtUs9m1/+sAf5hhfxyCuf+u9LslMqlZ5723Ax+SEiIiKi1NdQCzy+3Lt9ciGwdK1nLZ9d++yY98Dr2L3PjtOOniBTkBRrTH6IiIiIKLW98RLwp2u921OnAQ8861nLx+F04qrH3sYnO7pRV3Eq8oUcmQKlWGPyQ0RERESp6+MWYOE813wfAJhwOPDYy0BmlqfL7c98gPWbvsGSuSfikp9PkilQigcmP0RERESUmr5uB667ENi317WtyQQeewk45AhPl36HE9t/7EHpaZOx6OLj5YmT4obr/BARERFR6nGv5dOx07U9YoRrLZ+jT8KeXjvWNm2BuHM3hImZWFN2CkaplVD8NP+HUlfCJD+LFy+GxWLBzJkzYTQaMW7cOLlDIiIiIqJk1LcfuOlXwLbPvG13rQVOm409vXbMXmbG5u02z0umd9ux/o4iqEewOm6qS5jH3lasWIGWlhbMmDEDubm52LRpk9whEREREVGycTqBO64EWt/wtl27FPjVlQCAtU1bfBIfANi83Ya1TVviFSHJKGFGftzKy8ths9kwa9YsdHR0yB0OERERESWTh24DXvmnd/uXV7oWMv2JuHN3wN0Ga6fUkjAjPwNVVFSgq6sLGzdulDsUIiIiIkoW9auBJ4ze7VOLgLvqPGv5AMDB40YF3FWYmBnr6CgBJGTyk5XlKj0oiqLMkRARERFRUnjt38C913u3f3aiq8CBSuXTbadtn9+u0yZpUVY4NdYRUgJIuMfeAOCDDz4AAOh0OpkjISIiIqKE91EzUDnfu5bPxCNca/mM9S+gdcnPJyEncyTGjx3pqfZWVjgVY0ep/PpS6lFIkiTJHcSB5syZg6ysLDQ0NMgdStKy2+1Qq9Xo6+uDSsVfZiIiIkpRO7YBl50CdH7v2h47DvjbW8DPpskbF8VMJPe5CTfy8+yzz6K5uRnt7e1yh0JEREREiczW4VrLx534jBgB3P9swMTnkx02vPXZ97jy7DyWtE5jCTXnp7u7G+Xl5diwYQPX+YkSu90Ou90Oh8MhdyhERERE0bO/17WWT/vn3raljwOn6gN2X2rahNueseKHXfvjEx9FncPh8Nzbhiuhkh+9Xo+ysjJMnz5d7lBShkajgVqtRnV1tdyhEBEREUWH0wnc/jvA+pa37bp7gF/+LmD397b8gFc++Brl+p/h8OwxcQqSoq26uhpqtRoajSbsYyTMnJ+VK1dixYoVXNsnStzPQvb09EClUiEjIwNKJYd4iYiIKAXcXwk8udK7fcnvgbsf9ylp7SZJEs5f3oRN7Z348L6LcVBm4FLXlPgcDgecTifsdjs0Gk1yz/mpra1FeXm53GGkHJVKxYIHRERElDqeedQ38TltNrBkTcDEBwCaNn+Ltz77HrddMo2JT5JTKpURf5mfMI+9iaKInJwcucMgIiIiokS14XlgxY3e7aNPAu4z+a3lM1D7Dz04InsMrj/3mDgESIkuYUZ+9Ho92tra5A6DiIiIiBLR5vcBw6+9a/kccuSga/kMdHXhVFxxlsAKbwQggUZ+ysvLUVdXhy+//FLuUIiIiIgokXzVBlx/IdC7z7U9dpwr8Zlw2KC79Duc+HSHDQCY+JBHwiQ/xcXFWL58OXQ6HR5//HGu80NERERErrV8rj0f6PzBtT1CBTz4HDD1hCF3+7+3tuHk21/GG5/sjEOQlCwSJvkBgMrKSoiiiK6uLhiNRiZAREREROmsdx9ww8VA+xfetnv+Apw8a+jd+hxY/txm5E3MxGlHHxzjICmZJMycH7esrCwsWrRI7jCIiIiISE5OJ3DbFcDGd7xt11cDF/122F3/smELdnTuxd+uOx0jlAn1XT/JjFcDERERESWe+xYB5kbv9tyrgfLbh91t9z47Vv37Y5x01Hj8auakGAZIyYjJTwQsFgvy8/MhiuKgfWpqalBSUoLGxkZPP1EUYTAYUFRUFHAfURRRUVEBg8EAg8GAkpISWK3WmHwGIiIiooTzj4eBv9/v3T79XOD2xwZdy2cg07vt+HH3ftxVchIyMobvT+kl4R57S3QGgwFWqxWCIEAUxaCSksbGRjQ2Nvq0CYKA1tZWv75WqxUlJSUwm80QBAEAYLPZkJ+fD6PRiOLi4uh8ECIiIqJE1PQvwPhH7/axM4D7GoZcy2egq86ZgrxDMvGLYyfGJDxKbkx+QmQ0Gj3/bzAYYLFYht2nuLgYoijCZrNBp9OhqKgI5eXlAfuWlJSgoqLCk/gAgFarhdFoRFlZGfR6PbRabcSfg4iIiCjhbHrPtZaPJLm2D50E/PlFQJMZ1O6SJEGhUOCs4w6JYZCUzPjYWxwYjUa0traira0NJpNp0MTHYrFAFEXo9Xq/14qLi2Gz2VBXVxfrcImIiIjib/tW4IaLgP29ru3MrGHX8hnom8690BlexIaPvo1hkJTsmPwkELPZDAA+oz4DabVa1NfXxzMkIiIiotjr+hFYcJ7rv4B3LZ8pxwd9iBXPf4S2nbsxYdyoGAVJqYDJTwJxP0I32GNtgiCw8AERERGlFvdaPtu3etuqnwR+fk7Qh9j63S78/fU2lJxyFE6YND4GQVKq4JyfOLDZbKipqUFHR4dnu6ioyK94gSiKUZ/PY7fb/doyMjKgVCqj+j5EREREIXM4gKrLgU3vettuuhe48LKQDvOndZuhUAC3X3pilAMkuTkcDjidTp+2QPe3wWLyEwcGgwEmk8knscnLy4MoiqisrPS02Wy2oJKfYPsBgEaj8Wu76667sHTp0qD2JyIiIoqZVQsByzrvdnE58IfFIR3iwy+70Pjel/jDrCkQJgZXGIGSR3V1Ne6+++6oHS8hH3tLpVGJ4uJimM1mv2TFvYZPOI+xdXZ2Bt23p6cHfX19Pj9LliwJ+T2JiIiIouqpB4GnH/Run3k+cPujQa3lM9Ch40fj2tlHo/LiE6IaHiWGJUuW+N3L9vT0hH28hEx+JHd5wyCtXLkSGzdujE0wERqseIG7otvy5cs9bbEoYa1Sqfx+Uim5JCIioiRkWQesvMW7fawOWFUPjAj9oaSDx42C8fJ8HJY9JooBUqJQKpUB72fDlRDJz4GJi2KIjH/mzJnYsGGDT9uiRYvQ1taGVatWxSK8mMjOzgYAn5Efd1uw+xIRERElnY3vAIsv867lc9hRwGMvAWPGhnQYSZKw/LnN2PLtrhgESakqIZKfUMo35+bm+tz879q1Cxs3bkR+fr6noECiqKmpwfjx4yGK4qB9Bj7CptVqYbPZBu3rfo2LnBIREVFS+nKLq7KbZy0frWstn4NCX5TU/OG3uPe5zXju/e3RjZFSWkwLHrS3tw95M+8WyryX0tJSz/83NTWhqKgIADB+/HgYjcaQY4wls9kMm80W8By4k56CggJPW0FBAaxW66AFDURRhE6ni1W4RERERLHT+YNrLR/bT19Wq9TAQ/8C8o4L+VBOp4S7TZtw8LhRuHbO0dGNk1JaTJMfvV6Pbdu2DTuHZ6jH3A40d+5cLF68GIIgwGQywWw2o7CwMNJQY0Kn08FoNAZMWNxr+riTNwCoqKhAXV1dwCTHnUANTP6IiIiIksK+vcANFwFftXnblv0VmHlWWId77v3t+HB7F2ouz8fYUeHP/6D0E9Pkxz0S457cH0hHRweuueaakI67YsUKLF68GF1dXQmb+ACuZKa2tjZg8mMymSAIgk+pa51OB0EQUF9f77dPQ0MDtFotysvLYx43ERERUdQ4HK45Ph/+z9v2xxXA+b8O63D9Dieqn/0QR+aMwe/PmRKlICldxHTOj3vkJysra9AfQRCCfpSru7sbc+bMQVVVFRQKRVCP1MWSey7PYHEIgoCcnBzU1NT4tBsMBrS0tMBkMvntYzKZPKM/bjabDUajEU1NTZzvQ0RERMlDkoCam4EN//K2lS4Afl856C7D+bZrH0arlai6ZBpGqljBlkKjkEKtKx2iDz74ADNmzBiyz7Zt25Cbm+vZViqVcDgcAfuuXLkSZrPZ89hYXl4e9Ho98vPzodfrMXny5KjFHkhdXR1MJhM6Ozs9c5W0Wq1n7k5tba1feWuLxeLZx2azQRAEGI3GQRMZURRhMBg8yVNzczMqKiqGHEE7kN1uh1qtRl9fX0TlAImIiIjC9vcHfEtan3Uh8OBzYZW0HsjplCBBgjIjIWp3UZxFcp8b8+QnHEMlPwNt27YNFosFZrMZVqsVXV1dCVfxTS5MfoiIiEhW6xuBhfO8Ja2PyweefB0Yown7kB9t78LRh2VBNYJJTzpLueQnIyMDTqdT7jCSGpMfIiIiks0HbwNXFwJ9+13bh08Gnn43rJLWALCn144//+czrHrhY0w5JBOWO2ez0EEaS7nkhyLH5IeIiIhk0f4FcPmpQPdPaxmOGw889Q4gHBPW4fb02jF7mRmbt9s8bdMmabH+jiImQGkqkvtcjhkSERERUXR0fO9ay8ed+KjUwMPPh534AMDapi0+iQ8AbN5uw9qmLREESumKyQ8RERERRW5vj2stnx3eirW49+9A/pkRHfazr7sDtos7d0d0XEpPTH6IiIiIKDIOB2D4DbD5fW/bLTXAuZEvzj5aHbictTAxM+JjU/ph8kNERERE4ZMkYMVNwGsveNvmXwdcuTAqh182fwaOPTzLp23aJC3KCqdG5fiUXljwIEW5J4L19PRApVIhIyMDSiUXAiMiIqIo++sq4L5F3u2zL3Kt5RPBfYckSVhq2oTTj56A2Scdhj29dqxt2gJx524IEzNRVjiVxQ7SkMPhgNPphN1uh0ajYcED8qfRaKBWq1FdXS13KERERJRq/tPgm/icMBMwPhNR4gMAD7/yGe5/8RM8+78vAQBjR6lw8wXH4ZHfn4ybLziOiU+aqq6uhlqthkYT/lpRHPlJURz5ISIiophqfRMo0wP2Ptf24bk/reUzMaLD1r+zDVeveRfnHH8IGm89C+oRvH8hl2iM/IyIUWyUIFQqFdf5ISIiougSPwNu/KU38cnKBla/EnHi89+PvsOCtf/DiZPG4+kbz2TiQz6USmXEX+bzsTciIiIiCt6PO4FrzwN2dbm21SNda/nkHh3RYSVJwj2Nm3DY+NFYt/BsjBvNL28p+vjYW4qKZOVbIiIiooD29gC/Pxv4uMW1rVAAK+uBOSVROXzH7v2w7e1DHstY0xAiuc9NisfeNmzYAKPRCJ1OB0mScNBBB2HhwuiUTyQiIiKiIPT3A5XzvYkPANy6KuLEp2P3fjzz9jZcN+do5GSORE7myAgDJRpcUiQ/xcXF6O7uhtFoxPTp09Hd3Y1rrrkGs2fPxqWXXip3eERERESpTZKAFTcCr7/obfvNDcAVN0d02H19/Zj3wOtoaevA6UdPwIzc7AgDJRpaUsz5Wbx4MQoLCzF9+nQAQFZWFtasWYOsrKyhdyQiIiKiyD25Eqhf7d0+55dA5QOux97C5HA6cdVj7+D9rT/igd8VMPGhuOCcnxTFOT9EREQUFa/8E6j8tXf7xJOBxzcAo8eEfUhJknDL31rw+IYtMPzyBNwx98QoBErpIpL73KQY+SEiIiIiGTS/Dtz+O+/2kXnAI/+OKPEBgBdaduDxDVtw+ZkCbr90WoRBEgWPIz8piiM/REREFBHxU+Dy04DdNte2Ngd46h1g8s8iPrTTKeHvb7ThsjMEqEbwu3gKDUd+iIiIiCh6fvwOWHCeN/EZOQp45IWIE593v/gBtp4+ZGQocOXZU5j4UNwlxRW3YcMGbNiwQe4wiIiIiFLf3j3AtRcA33zp2lYogOVPA9NPi+iwVrEDl6z8L65Z+14UgiQKT9KUulYoFOjo6JA7FCIiIqLU1d8PLCwFPrV62xbdDxTNjeiw4s7dKL7/dYxWK/GnX8+IMEii8CVF8lNWVgZFBKUUiYiIiGgYkgT86TrgzZe9bZffBPz2jxEd9oddvbh01X/R02vHy7fpkTcxM7I4iSLAggcpigUPiIiIKCSPLwceus27XXgJcJ8JUCpDPtSeXjvWNm1B23e7seGjb/F1516Ybjkbs086LIoBU7qK5D43KUZ+KHx2ux0AkJGRAWUYf3kRERFRGnjxH76Jz4mnACv+EXbiM3uZGZu32zxtR2SPwWlHHxyFQCmdORwOOJ1Oz/1tOJKi4IFbe3s7Nm7ciA0bNuDxxx+XO5ykoNFooFarUV1dLXcoRERElIje/y+w5Crv9qQprspuo0aHdbi1TVt8Eh8A2NG5F2ubtkQQJBFQXV0NtVoNjUYT9jFkT35WrVoVVL/FixcjLy8PtbW1sNlsKCwsjHFkqaGnpwd9fX1YsmSJ3KEQERFRotn6MfDHS4D+n75JH38QsPoVIDv8URpx5+6Q2omCtWTJEvT19aGnpyfsY8j+2JvZbMbChQuH7We1WrFmzRqUlZXFIarUoVKpOOeHiIiI/H3/DXDt+cDubtf2yFHAwy+4Rn4iYO93BmwXWOiAIqRUKiOexpEQyU+wH6Kuri7G0RARERGlgZ7dwPUXAt9ud20rFIDx/4Dpp0Z02E932PB883aoR2Sgb0ASNG2SFmWFUyM6NlE0yJ78AEBhYSG0Wu2gr3d1dWHDhg2YPHly3GIiIiIiSkn9/cCt84BPP/C2GR50VXeLQMfu/Sh98A0olRmw3DYLr32yE+LO3RAmZqKscCrGjuKTKCQ/2ZOf8vJyrFmzZth+ixcvjkM0RERERClMkoBlC4C3/+Nt++3NwGU3RnzoXfvsGKlS4slrT8eM3BzMyM2J+JhE0SZ78lNSUhJUv4MOOijGkRARERGluLX3As8OqJhbNBdYGFzxqeHkThiLd5edhxFK2etpEQ1K9qsz2KptXIuViIiIKAL/fhp45A7v9vTTgHufAjIiux38y4YtWPbsh3A6JSY+lPBkv0KrqqqC6qdQKGIcCREREVGK+t8G4M7fe7ePmgo8/HzYa/m4vfHJTtz69xa89sl36HcGrvJGlEgUksxDKlOnTkVjYyOysrIG7WOz2WAwGPDqq6/GMbLkZrfboVar0dfXx1LXRERE6WzLR8DvzvCWtM4+GHj6XeDIvIgOK+7cjbOXvgrNyBF4/e45mJAVWSJFFKxI7nNln/PT1tYGnU4ndxhEREREqefAtXxGjQYe+XfEic+ufXaUPvgG9tsd+LdhFhMfShqyJz9arRZVVVXDlro2Go3xC4qIiIgo2fXsdiU+333l2lYoAOMzwIknR3zox5u24LOvu/HU9WfgpMnZER+PKF5kT37mzZuHRYsWDduvs7MzDtEQERERpQC7Hbi1BPh8k7dt8cPArF9G5fB/PP9Y5AvZOOu4Q6JyPKJ4kX3Oz7Zt25Cbmxu1fuTCOT9ERERpSpKApWXAur942353a1RKWr/28XeYkZuNrDHqiI9FFK5I7nNlr/b27LPPBtWvqakpxpEQERERpYDaZb6Jz+wS4JaaiA/b3PYjiu9/DTc9+X7ExyKSi+zJj9lsDqqfyWSKcSRERERESe75vwGP3undnnE6cO/fI17L5+vOvfj1g29g3Gg1qktnRBgkkXxkf+wtIyMj6DV8HA5HjKNJHe7hwJ6eHqhUKmRkZECpVModFhEREcXKe03AgnOB/n7X9uSjgafeBrQ5ER127/5+nPsnCz7eYcNLVYU4ZerBUQiWKHQOhwNOpxN2ux0ajSY5S10DwIwZMyCKIvR6fcDXu7q6sGHDhjhHlRo0Gg0A4K677sLSpUvlDYaIiIhi44vNwM2XehOf7AnAYy9HnPgAwA1P/A8ftHdiddkpTHxIVtXV1bj77rsjOobsIz/XXHMN1qxZA4vFAovFghUrVgzZj4LDkR8iIqI08d0O4LJTgO+/dm2PGg08+TpwwsyoHP7F1h34YFsHlhSfFJXjEYUrGiM/sic/TU1NKCwsBAB0d3dj8eLFMBgMmDx58qD9aHis9kZERJQG9uwCfncm8MWHru2MDODB54BzLo740L19DoxS84tTSjyR3OfKnvwEsnLlSuTl5eHSSy+VO5SkxeSHiIgoxdntwHUXAO8OKB51+6PA/GsjPvRH27twyarXUFd+Ks45gWv5UGJJ6lLXVVVVfm2LFi1CVlaWz2uB+hERERGlJUkC7i73TXyuqoxK4vPDrl6UPvgG9tsdOPKgMREfjyiRyJ78NDY2YtOmTWhvb/f5ycnJQUFBAebMmYMNGzbAYrHIHSoRERFRYlhzD/D8X73b55YCf1we8WH7+h24/JE38XXnXvztujMw5ZBxER+TKJHI/tjbcKWu3eEpFAqWug4BH3sjIiJKUf/6K7DkKu+27kygbj0wclTYh9zTa8dayxd4+k0RX3y7G8tKp+OmC46LPFaiGIjkPlf2UtdarRZVVVXQarWD9unq6oLRaIxfUERERESJ6B0zcHeZd3vy0cDD/4o48Zm9zIzN222etvp32/GHwqkYO4pfoFJqkT35mTdvHhYtWjRsv87OzjhEQ0RERJSgPt8E3DLXu5ZPzkRg9StAVnZEh13btMUn8QGAzdttWNu0BTdz9IdSjOxzfgwGQ1D9KioqYhwJERERUYL6bgdw7QVAz27X9ugxwKMvAkfkRnzoVzd+HbBd3Lk74mMTJRrZk5/c3OB+aYPtR0RERJRSdncD157vXcQ0IwNYWQ8cXxDxoZ/471a8/fkPAV8TJmZGfHyiRCN78rNq1aqg+j3++OMxjoSIiIgowdj7gFuKgS2bvW23PwqcdWHEh641f46bnnwfBXk5OO6ILJ/Xpk3SoqxwasTvQZRoZK/2NmfOHLz66qtR60curPZGRESU5CQJuONK4IW/e9v+sDgqJa0feeVT3PbMBzj96AlovPUsAK65P+LO3RAmZqKMxQ4ogUVynyt78jNcqeuBWOo6eEx+iIiIktyjd7nW83E779fAiqddj71FQJIkVNS9h2+79uKfN58FzUjZ618RhSTpkx+9Xu8pdS2KIrKzs31KX0uShHXr1jH5CQGTHyIioiT23BPAnX/wbhecBdS+CqhHhn1ISZKw3+7EKLUSDqcT9n4Jo9TKKARLFF9Jvc5PeXk51qxZ49luampCdnY2ZsyY4dPvmmuuiXdoRERERPH39qvA3eXebeFY4MHnIk58qp/9EK9/shPPV56DsaNUUKqjECtRkpG94EFJSYlfW6DH4AL1o+HZ7XbY7XaOmhERESWDzza6Chy4/90+6JCf1vIZH/YhJUnCkvqNWPnCx5iYNQrqEbLf/hGFxeFweO5twyX71V9YWBjVfuRLo9FArVajurpa7lCIiIhoKN9ud5W03rvHtT1aA/z5ReCwo8I+pCRJWPwPKx56+VPMPXkS/nbdGVCP4KNulJyqq6uhVquh0WjCPobsyU9VVVVU+5Gvnp4e9PX1YcmSJXKHQkRERIPZZXMlPj9869pWKoFVDcDx+REdtvLpVjy2/nPMP20yHr/mNKg46kNJbMmSJejr60NPT0/Yx5B9zk9jYyPmz5+PrCxXfflt27ahu7vbp+CBzWaDxWLB8uWRl3ZMNyqVigUPiIiIEpm9D7j5UmDrx9622x8DfnF+xIfWCTm44qw8PHzVTCgjrBJHJDelUgmlMrKRy4So9sZS19HHam9ERERJQJKA264AXnza21Z2G3Djn8I+pMPpxJc/9ECYmBmFAIkST1JXe9NqtaiqqvIZ6TlQV1cXjEZj/IIiIiIiioc/3+mb+FxwGXDDsrAP1+9worz2XVg2f4t3lp2HI3LCnxtBlIpkT37mzZuHRYsWDduvs7MzDtEQERERxcmzjwN1AxKdn58DVD8BBPlEzIHs/U78fvXb+FfzV7j+3GNwePaYKAVKlDpkf+xt27ZtyM3NjVo/cuFjb0RERAnszVeAGy7ylrTOOw74+9vAOG1Yh9tvd+B3j76Nl6w7cMuFx2FpyUlBTysgSjaR3OfKnvwcaOPGjRBFEYIgYPr06XKHk7SY/BARESWoT6zAlb8A9v1UsergQ4F/vAccOinsQ177+Ht46g0RVb86AVWXTGPiQyktqef8uD3++OMwGAyw2Ww+7TU1Nbj11lvlCYqIiIgomr75ErjuAm/iM2Ys8OhLISc+e3rtWNu0BeLO3RAmZuLqWVNx3BFaXH/uMTEImih1JETys3jxYtTU1KC4uBjZ2dnQarWw2Wzo6OjAokWL0NzcjH/+859yh0lEREQUvu4u11o+P37n2lYqgftMwLEzQjrMnl47Zi8zY/N2m6dt2iQt1t9RFMVgiVKT7MnPs88+C6vViq6uLs9aPwPZbDbMmzcP69atw6WXXipDhIOzWCwwGAwwmUwQBGHQfqIowmg0eiraiaKIqqoq6HS6qPQnIiKiBNe337WWT9sn3rYla4Azzg35UGubtvgkPgCwebsNa5u24OYLjoswUKLUJnvy09DQgPXr1w/6ularxfr167FgwYKESH4MBgOsVisEQYAoirBarUP2t1qtKCkpgdls9iRINpsN+fn5MBqNKC4ujqg/ERERJThJAu78A9D8mret/A5g7tVhHe6zr7sDtos7d4d1PKJ0IvtSv+PHjw+qX6BRITkYjUaYzWbU1tYGNRJTUlKCiooKn5EhrVYLo9GIsrIyvzlOofYnIiKiBPfIHcBL//BuX/Rb4Pp7wjqUracPr3+yM+BrXNSUaHiyJz/BViNJxqolFosFoihCr9f7vVZcXAybzYa6urqw+xMREVGCM9UBa+/1bp88C7j78bDX8ln+3GZ83bkXRxywhs+0SVqUFU6NJFKitCB78pOVlYVdu3YN2WfXrl3o6uqKU0TRYzabAWDQ+UBarRb19fVh9yciIqIE9sbLwLIF3u0pJwAPrANU6rAPeVfJSXj21rPRvOIC3FM6HVeenYd7Sqdj/R1FGDuKS1sQDUf25Ke0tBQlJSX48ssvA76+ceNGFBYWYt68eXGOLHIWiwUAPIULDiQIgs+coVD7ExERUYL6uBVYOA9wOl3bEw4DVr8MZIb+GP8Pu3pxxz8/gL3fiTEjR2D2SYdh7CgVbr7gODzy+5Nx8wXHMfEhCpLsBQ9mzJiBwsJC5ObmIj8/H4IgIDs7G52dnbBarRBFEZWVlZg1a5bcoYZMFMVBE5lo9CciIqIE9HW771o+mkzgsZeBQ44M+VA7bftwoXEDtn63CxfojsCpPzs4urESpRnZkx8AqKyshE6nQ0VFBVpbWz3tWq0WDQ0NmDt3rozRhc9mswWVzLj7hdo/GHa73a8tIyMDSqUyqP2JiIgoBN1dwILzgI6fihIolcD9jcDRJ4V8qG+79uKCFRvQ/v0e/P36M5j4UFpyOBxwukdQfxLo/jZYsj/25qbX69HW1oauri60traiq6sLnZ2dSZv4hKKzszNm/TUaDdRqtc9PdXV1qCESERHRcPr2Azf9Ctj2mbftrjrgtNkhH+rrzr04794mfPnDHjx94xm4KD/0USOiVFBdXe13L6vRaMI+XkKM/AyUlZWFGTNCW+k4UYX6CFssHnnr6emBSuX7HHBGRsLkvERERKnB6QTuuBJofcPbds2dwCW/D+twL1l3YEdnD5656ReYfdJh0YmRKAktWbIEt99+u0+b3W4POwFKqORn48aNsFgsaGtrQ35+PgoKCjB9+nS5wwqbe+5SMP3C6R8MlUrll/wQERFRlD10G/DKP73bF/8OuHZp2Icr1/8M+mmHcu0eSntKpTKq0zUSIvnZtWsXSkpKYLFYIEmSp12hUKCkpAR1dXUYN26cjBGGR6vVQhTFQV93L1jqHvEJtT8RERElgPrVwBNG7/YpemBpXchr+bTt3I3r//I/rK04FUfkaJj4EMVAQiQ/s2bNgtVqRXFxMYqKiiAIAkRRREtLC9auXQtRFPH+++/LHWbICgoKYLVaBy1QIIoidDpd2P2JiIhIZq+/CNx7vXd76jRXgYMQ1/LZ8u0uXLCiCbv22vFVx14ckRP+nAYiGpzskz8WL16M7OxsdHV1oaGhAWVlZSgsLERZWRlqa2vR2dkJrVaLVatWyR1qyCoqKgAg4GiOexSntLQ07P5EREQko4+agUWlA9byOdxV0jrEtXw++7ob591rwe59djy36BxWdSOKIdmTH1EUsX79emRlBf6LQqvVYv369Whubo5zZJHT6XQQBAH19fV+rzU0NECr1aK8vDzs/kRERCSTHduA6y4E9u11bXvW8jkipMN8usOG85c3YV+fA89XzmLiQxRjsic/giAE1S83NzfGkYTOPULjHpUJxGQyoa6uzmc0x2azwWg0oqmpye/xtlD7ExERUZx1d7rW8un83rU9YgRw/7PA0SeGfKjOnj6olAq8YJiFn085KMqBEtGBZJ/zk5OTE1S/vLw8v7Zdu3bFvRBCXV0dTCYTOjs7YbVaAQCFhYUoKCgAANTW1vokdDqdDq2trTAYDBAEATk5OWhubkZtbW3A+Tuh9iciIqI42t8L3PhLoP1zb9tda4HTikI6TM/+fmhGjsDpR0/AppUXY5Sai48TxYNCGlheTQbPPvss8vLyhixpvWvXLtTX16OsrMynfc6cOXj11VdjHGFystvtUKvV6OvrY6lrIiKiaHA6gcpfA682eNuuXQosuCukw1jFDpQ88DpWX30K1/AhCkMk97myj/zodDosXrwY8+fPx4wZM/weIRNFEfX19aiqqsLGjRs97Z2dnbBYLPENloiIiNLXg4t9E59fXeVayDQIe3rtWNu0Bf/b8gOaNn+LsaNUOCJnTIwCJaLByD7yk5GRAcUwdfAlSfLr425zOByxDC9pceSHiIgoip551Lek9alFwKMvAUH8G7un147Zy8zYvN3maZt66Di8cfccjB3Ff6OJQpXUIz+CIECn06GoKLRnZbu6ulBVVRWjqIiIiIh+8t8XgBU3erd/duJPa/kEd9O1tmmLT+IDuNb1Wdu0BTdfcFwUAyWi4cie/Gi1WjQ0NAzfMYBw9yMiIiIKyub3gcr53rV8Jh7hKmk9NviCS+LO3SG1E1HsyF7qeu3atbLsS0RERDSkr0Tg+guB3n2u7bHjXInPxMODPsTW73ZBmDA24GvCxMxoRElEIZA9+ZkxY4Ys+xIRERENytYBXHse0PmDa3vECOCBdcDPpgV9iDc/3YnT73gFPfv7MW2S1ue1aZO0KCucGsWAiSgYsic/q1atCqrf448/HuNIUpPdbofdbmdhCCIiomD17gNuuBho/8LbdvdfgFMKgz7E6598h7n3vYaczJG47Mw8rL+jCPeUTseVZ+fhntLpWH9HEYsdEIXI4XB47m3DJXvyYzabg+pnMpliHElq0mg0UKvVqK6uljsUIiKixOd0ArddAWx8x9t23T3AxVcEfYjXPv4OJfe/joPHjcLLt+mRO2Esxo5S4eYLjsMjvz8ZN19wHBMfojBUV1dDrVZDo9GEfYykKHXtxtGL4LlLAPb09EClUiEjIwNKJVePJiIiGtKqhcDf7vNuX/oHYOlaIMh7lU922HDWXa9iQtYovFxViKMODjzfh4hC53A44HQ6YbfbodFokrPUNQAUFhZCq9UO+npXVxc2bNgQv4BSiEql4jo/REREwfjHI76Jz+lzgDtWB534AMAxh2XhunOPxu/PmYpJB4X/7TQR+VMqlRF/mS978lNZWYkVK1YM2++aa66JQzRERESUlpr+BRhv8m4fMx24zxT0Wj7vfP49jjtCC61GjaUl02MRIRFFgexzfg466KCg+pWUlMQ4EiIiIkpLm94DDL8G3DMBDjkSePQlQBNcKWrLh9/g4poN+ONf349hkEQUDbInP8FOOSosDL7CChEREVFQtm8FbrgI2N/r2s7Mcq3lM+GwoHZfv+kbzH/oDRw+fgyWzecSHESJTvbkJ9hiB1VVVTGOhIiIiNJK14/AgvNc/wWAESrXWj5TTwhq91c3fY1fP/QGjsgeg5dv0+OIHM7xIUp0ss/5qa+vR1FREbKysgbtY7PZYLFYsHz58jhGRkRERCnLvZbP9q3etnueAE6eFdTuP+zqxRWPvIUjczR4uaoQh2WPiVGgRBRNLHWdotylrsMpAUhERJTSHA5g4TzAss7bduOfgLLbQjrMi607oMvNZuJDFGeR3OfKPvKj1WpRVVU1bKlro9EYv6CIiIgoda1a6Jv4zC0Drg7u8fqXP9iBQ7JGQyfk4ML8I2IUIBHFiuzJz7x587Bo0aJh+3V2dsYhGiIiIkppTz0IPP2gd/uM84A7HgtqLZ8XW3fgij+/hRm52bAsKQr6yRUiShyyP/a2bds25ObmRq0fufCxNyIiogNY1gG3FHtLWh+rA/76OjBm7LC7vtDyFX736FvIm5iJlxYXYqJ2dIyDJaLBRHKfK3vyQ7HB5IeIiGiAje8AVxd6S1ofOgn4x3vAwYcOu+vzzV/hysfewpRDxuGlxbMwIYuJD5GcIrnPlb3UNREREVFMfbnFVdnNs5aPFlj9SlCJT2+fA7c9Y8VUJj5EKYEjPymKIz9EREQAOn8ALj8V+KrNta1SA7XrgZlnBX2Ird/tQtYYNQ4eNypGQRJRKDjyQ0RERHSgfXuBGy7yJj4AUP1kUInPc+9vx5r1nwMAphwyjokPUYqQvdobxZbdbgfgWk9JqVTKHA0REVGcOBzA4suAD//nbbtpOXDBbwJ239Nrx9qmLRB37sbe/f1ofO9LHH+kFledMwUjVfz3kygROBwOOJ1Oz/1tODjyk+I0Gg3UajWqq6vlDoWIiCg+JAmouRnY8C9v27xrgD8YAnbf02vH7GVm3Fm/EX99rQ0N734J9YgMPHPTL5j4ECWQ6upqqNVqaDSasI/BOT8pyv0sZE9PD1QqFUd+iIgoffz9AWDlLd7tX1wAPPQvYETgB14eeOkT3Fm/0a/9ntLpuPmC42ITIxGFbODIj0ajCWvODx97S3EqlYoFD4iIKH2sbwRW3erdPi4fWPnPQRMfABB37g6pnYjkoVQqI/4yn4+9ERERUWr44G2g6nLvIqaHTwYefXHYRUyFiZkhtRNR8mLyQ0RERMmv/QvXWj59+13b48YDj70MHHTIkLs1t/2ITe2dOP5IrU/7tElalBVOjVGwRCSXpHjsbcOGDQCAWbNmyRwJERERJZyO74EF5wHdna5tldo1x0c4dsjdPtlhw9xVr0E1IgMvLi7EfzZ+DXHnbggTM1FWOBVjR/GxcaJUkxQFD7Kzs6FQKNDR0SF3KEmDi5wSEVFa2NsDXD0L2Py+t63mGeC8+UPutu37PZi9zIzevn68cpseJ0waH+NAiShaIrnPTYqRn7KyMigUCrnDICIiokTicACG3/gmPrfUDJv4fNu1Fxcbm7Brbx9eMMxi4kOURpIi+TEajXKHQERERIlEkoAVNwGvveBtK70WuHLhsLv+Z+M3+KZrH0y3nIWTpx4cwyCJKNEkxWNvFDo+9kZERCntb/cBqwYkOmdfBDywbsiS1gNt+34PcicMXQWOiBJTJPe5rPZGREREyeU/Db6JzwkzAeMzQyY+vX0OLFj7nmftHiY+ROlJ9uRn1apVQfV7/PHHYxwJERERJbzWN4HbfuvdPjwXeOTfwBjNoLv0O5y4avXbePpNERs++i4OQRJRopI9+TGbzUH1M5lMMY6EiIiIEtq2z4EbfwnY+1zbWdnA6leAgyYOuovTKeG6v/wPL7buQOXFx+Nqrt1DlNZkn/OTkZERdCU3h8MR42hSB+f8EBFRSvlxJ3D5qcDX21zb6pHAWgugO2PQXSRJwuJ/WPHY+s9Rof8ZVv42n9VjiVJA0pe6LiwshFarBQCIoojs7GzPNuD6y2vdunXyBEdERETy2tsDXH+hN/EBgHufGjLxAYDtP/bgqTfaMP+0yai5nIkPESVA8lNeXo41a9Z4tpuampCdnY0ZM2b49LvmmmviHRoRERHJrb8fqJwPfNzibVu4CphTMuyuRx08Fv9dOgfChExkZDDxIaIESH5KSvz/8gr0zUygfjQ8u90OwPV4oVKplDkaIiKiEEgSsOJG4PUXvW2/uQG44pYhd/u/t0RoRqrwy5lH4ujDsmIcJBHFi8PhgNPp9NzfhkP2ggeFhYVR7Ue+NBoN1Go1qqur5Q6FiIgoNH9dBdSv9m6f80ug8gFgiMfXXmj5CgvW/g8PvfwJnE4uZUiUSqqrq6FWq6HRDF7dcTiyJz9VVVVR7Ue+enp60NfXhyVLlsgdChERUfD+Uw/cX+ndnvZzwPh/wBBPMfz3o+9w1WNv42eHjUPDLWfxUTeiFLNkyRL09fWhp6cn7GPI/thbY2Mj5s+fj6ws17D0tm3b0N3d7VPwwGazwWKxYPny5TJFmbxUKhWrvRERUXJpeQO47Qrv9hGCay2f0WMG3eX9rT/i1w+9gUO1o/H8onNwUOaoOARKRPGkVCojnsbBUtcpiqWuiYgoKYmfApefBuy2uba1OcBT7wCTfzboLpIk4SLjBnz6dTfW31GEvImZ8YmViGSR1KWutVotqqqqfEZ6DtTV1QWj0Ri/oIiIiCj+fvwOuPZ8b+KjHgk88kLAxGdPrx1rm7ZA3LkbwsRM1Jadit29diY+RDQk2ZOfefPmYdGiRcP26+zsjEM0REREJIu9PcB1FwJft7u2FQpgxT+A6af5dd3Ta8fsZWZs3m7ztJnebcf6O4riEysRJS3ZCx4YDIag+lVUVMQ4EiIiIpJFfz+wqBT4pNXbtuh+oGhuwO5rm7b4JD4AsHm7DWubtsQwSCJKBbInP7m5uQCAXbt2ob29fdh+RERElEIkCVh+A/DGS962y24EfvvHQXd569OdAdvFnbujHBwRpRrZkx+lUomcnBwsX74cFotF7nCIiIgonp6oARrWeLcLL3GN+gxizfrPYd78bcDXBM73IaJhyD7nJysrC6IoekpdExERUZp46f+ABxd7t088xTXPZ4hStl937cXJUw5C9147Pv2629M+bZIWZYVTYxktEaUA2ZOfefPmMfEhIiJKN82vA0uu8m5PmuKq7DZqtF/XH3b1Yl+fA5MO0mBpyUlwOCX09Tt9qr2VFU7F2FFc2oGIhiZ78jNUieuBNmzYgFmzZsU2GCIiIoq9tk+Am34F2Ptc2+MPAla/AmQf7Nf1469sKH3gdYwbo8Kb95wLZUYGlBmAeoQSN19wXHzjJqKkJ/ucn4MOOiiofmazOcaREBERUcz98K3vWj4jRwEPv+Aa+TnAi607oK9ej+69fVg2fwaUGbLfthBRkpN95MdsNqOoqGjIR99sNhsaGxuxfPnyOEZGREREUbV3j2stn2++dG171vI51aebJEm478VPcE/jJkw5ZBzq//gLTD10nAwBE1GqUUiSJMkZQEZGBhQKRVB9HQ5HjKNJHXa7HWq1Gn19fVCp+Aw0ERHJrL8fuOFi4K1XvG2GB4HLbwLgWrjUPYdHq1Gjdv3nOP2YiXjy2tOh1ajliZmIElIk97myj/xotVpUVVUNOfenq6sLRqMxfkERERFR9EgSsOxa38Tntzf7JD6zl5l9Fi6dckgmnrz2NCY+RBRVsic/8+bNw6JFi4bt19nZGYdoUo/dbgfgGmFTDlE6lIiIKGYeXw48u9a7XTQXWLjKs7m2aYtP4gMAW7/bjSdfa2NRAyLycDgccDqdnvvbcMg+c9BgMATVr6KiIsaRpCaNRgO1Wo3q6mq5QyEionT076eBh2/3bp90KnDvU8CA4gUfbOsIuKu4c3esoyOiJFJdXQ21Wg2NRhP2MWSf8zOUZ599Fs3NzVAoFCgqKmKp6xC4n4Xs6emBSqXiyA8REcXf+/8FKuYA/T99SztpCvD0u67S1j/5+CsbCu9Zj579/X6731M6nSM/ROQxcORHo9GENecnoZOfgebMmYNXX31V7jCSBgseEBGRrLZ8BPzuDGB3t2t7/EGuxGdASeuPtnfh/OVNkCQJOZmj0DZgpGfaJC3W31HEhUuJyE9SFzxwW7duHZqbm2Gz2fxeE0URoijGPygiIiIK3fff/LSWz0+Jz6jRwJ9f9FvL55DxozFt0ngs/40OwsSxnmpvwsRMlBVOZeJDRFGXECM/s2fPhsViGfT1oqIirFixAjNmzIhjVMmNIz9ERCSLnt3Alb8APtvo2lYogAfWAYW/8nTZ8u0uTDkkM+ilLoiIBorkPlf2ggcrV64EALS2tsLpdMJoNMLpdMLpdKKrqwvr169Hbm4uEx8iIqJEZ7cDt5Z4Ex8AMDzkk/i89vF3OGPJKzA+/1HcwyMikj35aW5uxvr16z3JjSAIaG9vBwBkZWVBr9fDaDRi1apVQxyFiIiIZCVJwLIFwNsD5udecQtw2Q2ezVc3fY3i+1/DweNGYf7puTIESUTpTvbkRxAEv+0DH4HLysrCjz/+GM+wiIiIKBR1fwLW/cW7XVQM3LrSs/nv1q/w6wffxBHZY/Cf2/WYfPBYGYIkonQne/LT3d3tsz1jxgwYjcZh+xEREVGCeOHvwJ+XeLdnnA4s967lYxU78NtH3oIwcSz+c3sRjsgJf40OIqJIyJ78uB9zKy0txW233QYAmD59Os4991zs3u0qeblx40a0tLTIGSYREREF8l4TcNcfvNtHTQUe+hcwcpSnafrkbNx2yTS8cpseh2hHxz9GIqKfJES1t3nz5qGxsRH5+fmecteCIKC7uxtarRY2mw1GoxELFy6UO9Sw1NTUoLm5GaWlpdDpdBAEAaIoora2FlarFWaz2W8fURRhNBqh1Wo921VVVdDpdEG9J6u9ERFRzH2x2bWWz55dru3sg11r+RyZBwB47v3tOPv4QzBeo5YxSCJKNZHc5yZE8gO4HmvLysrybFutVhgMBrS2tmLevHlYs2aNjNFFpqamBgaDwa9dEAS0trZ6Ehw3q9WKkpISmM1mz5wom82G/Px8GI1GFBcXD/ueTH6IiCimdn4NXHYKsHOHa3vUaOCJ14BpPwcArFn/ORY93YqrZ03FA1fOlC9OIko5KZH8pDL3yI8oirDZbNDpdCgqKkJ5eXnA/nl5eaioqEBlZaVPe2NjI8rKyrBt2za/hOlATH6IiChm9uxyreXz+SbXdkYG9tWYsKb/GIg7d+Obzr1Y/+G3OOOYCWi4+Sxkjua/Q0QUPZHc546IUUx+2tvbMXnyZNn2l5vRaPSrbBeIxWKBKIrQ6/V+rxUXF6OkpAR1dXV+iREREVFc2O3ALcXexAfA/lsfQOGbo7B5+0ZP29hRI/D3605n4kNECSVuBQ8qKipk3T9ZuOf/DJYoabVa1NfXxzMkIiIiF0kC7qkA3h0wV/XKhXgsR4/N220+Xff09uPpt7bFNz4iomHELfmJtFqbKIpRiiSxudc4GuyxNkEQYLVa4xgRERHRT9ZUA/960rs9Zx5wsxHizt0Buw/WTkQkl7g99tbV1YWcnBxkZ2eHvG9nZydsNlv0g4ojm82GmpoadHR0eLaLior8iheIojjsfB4iIqK4e/5vwGN3ebd1ZwB/+hu6e/vx7hc/BNxFmJgZp+CIiIITt+QHcCVAXV1dYe2rUCiiHE18GQwGmEwmn8QmLy8Poij6zN+x2WxBJT/B9rPb7X5tGRkZUCqVwYRNREQEvGMGll7t3Z58NPDw89ixx4G59zXh82924bDxo/FN1z5Pl2mTtCgrnCpDsESUShwOB5xOp09boPvbYMXtsTeTyYTKykqYTCY4nc6Qfjo7O33KYCeb4uJimM1mv2TFYDDAYDCE9RhbZ2dnUP00Gg3UarXPT3V1dcjvR0REaerzD4Fb5gL9/a7t7AnA6lewuVuBwnvWo23nbjx1/RloNV6Ie0qn48qz83BP6XSsv6MIY0ex2AERRaa6utrvXlaj0YR9vLiXuv7ggw/Q0NCAnJwcFBcXB13Bbfbs2Vi/fn1sg4szURSRl5eH4uJimEwmAMD48eMBYNARsvz8fFitVrS1tQ1ZPc5dArCnp8evBCBHfoiIKCjf7XCt5fP9167t0WOAJ1/HW8pJmHf/axihzMA///gLnHb0BHnjJKKUNdjIj0ajSexS124zZszAjBkzAADPPvss1qxZgylTpuDqq68ecr9Ai4QmO/f8p4EjP9nZ2UGN6gQ7d0qlUnGdHyIiCt3ubuDa872JT0YGsLIeOL4AR/3YgxMmjcef/3AyfnboOHnjJKKUplQqo/qlfUIsctrd3Y26ujooFAro9XpMnz5d7pCipqamBsuXL0dra6vfSI3NZsP48eOh1Wo9Iz3ukZ3B/ljc84SG+2PjIqdERBQ2ex9w7QXAexZPk3THY3jt+EtwzgmHuLYlKenn4xJRcorkPjduc36GkpWVhUWLFmHhwoXo6OjAypUrsWrVKuzatUvu0CJmNpths9kCVqtzj/AUFBR42tz/P1h1O1EUodPpoh4nERERANdaPkvLfRIfx5WVuH6PDhfXbMBL1h0Akr8QERGlp4RIfgYqLCz0JEINDQ2oqqrCc889J3dYYdPpdGhtbQ2YsLjX9CkqKvK0uRdzDbSukTshKi0tjUGkREREAFbfDbzwN8+mffY8lDhm4++vt+H350zBnJMOkzE4IqLIJFzy47Zu3TqYTCbU1NSguLgYM2fOlDuksFRUVKC+vj7gayaTCYIg+JS61ul0EAQh4D4NDQ3QarUoLy+PWbxERJTGnnvClfz8pO+kMzB75GUwf7QTd5WchAevnIkRyoS9dSAiGlZC/Q3W3t6Oqqoq5OTkoKSkBGazGYWFhWhoaEBzc7Pc4YVFEATk5OSgpqbGp91gMKClpcVT5W0gk8mEuro6n9Efm80Go9GIpqYmLoJKRETR9/arwN0DvlwTjsXyc6qx6du9ePyaU7HwouP5qBsRJT3ZCx7s2rULDQ0NqK2t9Uz0FwQBFRUVKC8vT+r1fQayWCwwmUzo7OyEzWaDIAgwGo2DJjKiKMJgMHiSp+bmZlRUVECv1wf1fix4QEREQftsI/C7M4G9ewAAUs5EKP7xHvomHokPv+xCQd5B8sZHRDRAJPe5siU/GzZsQG1tLRobGz2Vy4qLi1FVVeUphU3hY/JDRERB+e6rn9by+QYA0D9yDCoL78O91WUYpeaacESUeCK5z43rOj/t7e2ora1FXV0dbDYbJEmCTqdDRUUFysrKhtx33bp1uPTSS+MUKRERURrYZQMWnO9JfJyKDJQefh2+GTEJu/b1YZR6tLzxERFFWdxGfkpLSz2jPO5J+xUVFcjNzQ1q/5ycHHR0dMQ4ytTBkR8iIhqSvQ9YcB7wvw2ephuP/AO+PPs3eOqGMzFuNP/tIKLElBQjPyaTCUVFRaioqEBhYWHQkyZ37dqF+vr6Qde9ISIiohBJEnDX1T6Jz6qJF6PvkqvReNXPoRqRUPWQiIiiJq6PvQmCgPfff99Tuc096DRUItTV1eVZD4eIiIii4NG7gH8/5dlsy78IfRfdg9WXnsiKbkSU0uL22NuUKVOwdevWsPfPyMiA0+mMYkSpjY+9ERFRQM8+DiwdMM925tnAmv8A6pGyhUREFIpI7nPjNq6t0+ki2j/YEs9ERETkb0+vHevur4Xj7ms8bW2aI9F/37NMfIgobci+zg/Fhjsj7unpgUqlQkZGBpRKliwlIkpHe3rtuH7hGjzyZiUynb0AgG9VWnzzcBPyz4jsy0kionhxOBxwOp2w2+3QaDSJPfJD8tBoNFCr1aiurpY7FCIiksk/n30dy9++05P47MkYiWJhEd7oHiVzZEREwauuroZarYZGown7GBz5SVEc+SEiIgDALhu+vUiHQzu3AQD6kYF5wq0wZ03HlWfn4ZHfnyxzgEREwYnGyE9cq71R/KlUKhY8ICJKU47efej6w/mexAcA/njk72HOmg4AECZmyhQZEVHolEplxF/mM/khIiJKAXt67VjbtAXizt0QJmZCf8Ih+P66EhR++a6nj3Hir/C3g84BAEybpEVZ4VS5wiUikgWTHyIioiS3p9eO2cvM2Lzd5mnrf6ABi3Z6FzG1n38Z1GdW4crv90CYmImywqkYO4pPBhBRemHyQ0RElOTWNm3xSXyu+nEDFu183tvh5FlQLXsCN6vU8Q+OiCiBsNobERFRkhN37vb8/+zujbj/qye9L045AXhgHcDEh4iIyQ8REVEys/X04cMvuwAA0/duw9/aH8YIOAEAe8ZNAFa/DGRmyRkiEVHC4GNvRERESeqdz79HWe272P5jDwpG7cYzm1dhrHM/AKBHORoZj70IHHKkzFESESUOjvwQERElGXu/E9WNm3DevU3otTvw7wXT0fTdgzik3wYAcGYokfGACWNOmilvoERECYYjP0RERElmwePvof6ddpw7/TA8dsUMHLzol8C2zzyvZyytw+hzLpAvQCKiBMXkh4iIKAlIkgQAUCgUWDD7aPx8ykEoOycPiqrLgZbXvR2vuRO45PcyRUlElNgUkvtvU0opdrsdarUafX19UKm4jgMRUbIZuGjpYePH4JMdNuQLOfjjBcd5Oz1YBfxlhXf74t8By54EFIr4B0xEFCeR3Ody5IeIiCjBBFq0FAAOyx7j3WhY45v4nKIHltYx8SEiGgILHhARESWYAxctdTtEO9r1P6+/CPzpOu8LU6cB9zdyLR8iomEw+SEiIkowAxct9Wv/uAVYVAo4XWv5YMLhwGNcy4eIKBhMflKc3W6H3W6Hw+GQOxQiIgqSMDEzYPt0VTdw7QXAvr2uBk2mK/E55Ig4RkdEJA+Hw+G5tw0Xk58Up9FooFarUV1dLXcoREQ0jLc//x6/qtmAy87IxbRJWp/XTjtEiasabgQ6v3c1jBgB3P8scPSJ8Q+UiEgG1dXVUKvV0Gg0YR+D1d5SlLsKRk9PD1QqFTIyMqBUKuUOi4iIBvHkf7filr834+Bxo/Bvwywcnj3GU+1tarYa1627EcoP3vLuUP0k8KsrZYuXiCjeHA4HnE4n7HY7NBpNWNXemPykKJa6JiJKbO5S1lu/3YXPvunG+1s7MDMvB/930y+8hQ0A19wew2+A/9R72669G1hwZ/yDJiJKACx1TURElOAGrttzePYY/Ov97fh4R7fn9fEaNRpuPgsHjRvlu+ODVb6Jz6+uAq5ZEqeoiYhSC5MfIiKiGBts3Z6Bunr68NSbIm4euIjpPx8Dnqzxbp9aBNxZy7V8iIjCxIIHREREMTbYuj0H8ilx/dq/geU3eLePPumntXz4KDMRUbiY/BAREcXYYOv2HMhT4vqjZqByvnctn4lHAI++BIwdF6MIiYjSA5MfIiKiGJt88Nhh+0ybpEVZ4VTgKxG47kLvWj5jx7nW8pl4eIyjJCJKfZzzQ0REFGMFeTlQABhYXvW4I7Jw6c8nYUfnXggTM1FWOBVje3cB157vu5bPA+uAn02TI2wiopTD5IeIiCgGBlZ3EyZm4r9L5+CNT76D+P0eb7IzasD8nf29wI2/BNo/97bd/RfglML4B09ElKKY/BAREUXBcKWsp03SYv0dRb4Jj5vTCdx2BfDB296266uBi6+IQ+REROmDyQ8REVGEgillvXm7DWubtviWsnZ7wACsN3m3L/0DUH579AMlIkpzTH6IiIjCMHCk5+vOvaGXsnb7vz8Df13l3T59DnDHaq7lQ0QUA0x+iIiIQhTMSE8gnlLWbhueB4w3ebePmQ7cZ+JaPkREMcLkh4iIKAjhjPQM5Cll7fbh/wDDr71r+RxypGstH01m4AMQEVHEmPwQERENI5yRnoClrN3FDr5qA264COjd59p2r+Uz4bDoB09ERB5MflKc3W4HAGRkZECpVMocDRFRclrbtCWoxKfoxENxePaYwKWs3bp+BBacB3T+4NoeoQIefA6YekJ0gyYiSjEOhwNOp9NzfxsOJj8pTqPRAADuuusuLF26VN5giIiSyMDH3Da2dw7bf9okLf5+/RmBEx633n2utXy+3OJtu+cJ4ORZUYiYiCi1VVdX4+67747oGApJkqThu1GysdvtUKvV6OnpgUql4sgPEdEwhlunJ5CgRnrcnE5g4TzA/Ky37YZlLGlNRBSkgSM/Go0GfX19UIVYIIYjPylOpVKFfFEQEaWbcOb0BDXSM9Cqhb6Jz9yrgbLbQguUiCiNKZXKiL/MZ/JDRERpKZzqbflCNqZNGh/cSM9ATz8EPPWAd/v0c7mWDxGRDJj8EBFRWgjnsbYD/XLmJNx8wXGhvXHTc0DNzd7tY2cA9zUAI/hPMBFRvPFvXiIiSnnhLko6kN86PcHY+C5g+A3gnl576CTgzy9yLR8iIpkw+SEiopQU6aKkQ67TE4ztW4EbLwb297q2M7O4lg8RkcyY/BARUUqIxmNtIVVvG0rnD661fLp+dG2PUAEP/QuYcnx4xyMioqhg8kNEREkvWo+1hVS9bTC9+4AbLnaN/LhVPwnMPDuy4xIRUcSY/BARUVKS/bG2QBwOYPFlwIfvedtuuhe48LLIjktERFHB5IeIiJJCQj3WNphVt7qqu7kVlwN/WBzd9yAiorAx+SEiooQUjWRnoKg91jaYpx50refjdub5wO2Pci0fIqIEwuSHiIgSQrSTnZg81jYY87PAylu828fqgFX1XMuHiCjB8G9lIiKKi4HJjTAxE785PRf/9/a2qCU7QBweawtk4ztA1eXetXwOOwp47CVgzNjYvzcREYVEIUnuv60pldjtdqjVavT19UGlisM//kSU9kJNbkapMtBrd0bt/adN0mL9HUXxSXjc2r8AfnsaYOtwbWdqgaffAYRj4xcDEVGaieQ+l8lPimLyQ0TRJndyc6C4PtYWSMf3wOWnAjtE17ZKDdSZgYJfxC8GIqI0xOSH/DD5IaLhDJXMJEJycyDZk50DXXsB8ObL3u2aZ4Dz5ssXDxFRmmDyQ37cF0VPTw9UKhUyMjKgVCrlDouIIhRKwhIogVEA2NG5N6hkJt7JzYESLtk50LbPgQXnAV9vA242Ar+vlDsiIqKU5nA44HQ6YbfbodFomPyQlzv5cbvrrruwdOlS+QIiksmByUKoN9CR7h/N4+3ptWP2MrPPYp7DJSxyJzBDOTC2hE92AvlxJ/DSP4ArbmZJayKiGFu6dCnuvvtuzzaTH/KQc+Qn2jeL0Rbr+IY7fqjvP9w3/fG+GZc7mQhl/0DJQiiT4iPdP9jjvXJbIUapRmCkyvU7uu37PbD19GFfXz/29Tmwt68ffXYntnf04M76jSG/r1yGS26ifS0TEVFq48gPDUquOT/RvlmMtljHN9zxQ33/YL7pj8XNeCjxuPuPVivhcEqQJMApuf4r/RSvMiMD9n4nvu/uxaX3/RefDHjU6vgjtLDcWQTNyBH4unOvd38ATqeEUSolDsseAwD49OtuXPbwG9jy7W7P/lMmZuL1u+dg3Bg1dnT0oP2HHkiSBIdTQuN77fjb66Lf55h36lE4b8bhcDhd/fImZuLkqQcDAJ5+U0RPrx1OCdjw0bf4z8Zv/PY//egJOOmo8bA7nD/9SLi75CRM1I7GW599j4de/gT9Dsn7er8T1805ZsjkZc5Jh6Hx1rMBAL+48z/4oL3T5/UMhQJX/ELAX19vC7i/HJjcEBGRHDjnh/zIlfw88NInAW/uNKNGQDNyBNTKDHz64K8AACtf+Air13/h1/fpG87AaUdPwHtbfsBvHnrT7/UK/VQYfjUNAHDsH/+FXrvD5/VjDs/CK7fpXX3r3sX6Td6b1737+7G3z7c/AIxRKzFmpHfZq5rL81Fy6mTs6OjBL+561dPufqrlAt0RePiqnwMAZi8zQ9zpuhnv2d+PPb39fscf+9PnH+x1zcgRGDNyBAb+Ot54vqtUbjDf9B93RBa+7twLwLXUiPs4nzzwK2g1atRZvsCd9Rs97e53ubjgSNS/0+53vAwFkJGhwK9Pz8VjV58CAJh26/No/6En4PvfUzod7d/vwRP/3er32lv3nIuTJmfj361fBfzzdO+/oOhoHHx1vd9rZxwzwfPnOVgMS+aeiMpfnoD7/v0xlpo2BXyPoVx1zhTPn2feDevwfXdvUPspMxRQKTOgUirw2t3n4meHjsPLH+yA4elWjFBm/PRaBlQjFLj+3GPw+ic78dfX/JOX447IwrVzjsHvzsoDALzYugO7e+0YrVJi9EglxqhHYJRaibc+3Yk7G0L/fMEa7pE5JjdERJQIIrnP5SKnFFXuJOBAB2eORL6QgxHKDE/b5IPH4qzjJvr1Ha9xzVXSjlEHfD13Qqbn/888diL6Hb7zGY7I0Xj+/4QjtbD3e19vETuw7fs9fsecqB2NAiHHs32IdjQAYKRK6YlhYGJy9KHjPP+vy83GoT/1t27rCJjcHJQ5ErrcnEFfn5A1Cvk/vb971kDuwWPR9NG3fn0DGaMegfNnHOFJzhQKBRQAVCNc53vKIZmYe8pRPsdXKIAfdgW+yZ966Dj84tiJKMjznpNfn56LfzV/hU+/9l+EUty5G/pph2LsKBUyMgAFFFAoXO8xIWsUAOBnh47DSUeNx6YvuwLurxqhwLL5M5ChcMXv/u9h40d7+uVNzAyY/Gz/0fVnelHBkZhyyDhkZLhGSl5s/QpPv7nNr//Vs6bi12fkIkMBKDMycFDmSM9r6+8ogiRJUGZk4K//3YL7X/rUb/+7Sk7ELRccj4wM/zke5884AufPOMKvHQC+6tgbsH3+6bmexAcALswPvP+xh2fB9N6XUZvzM1wyE0xyc/MFxwU8NhERUSLiyE+KSrSRn3tKpyfETVKs4xvu+KG+/2D9g90/0ngj7S/3/sky5yeU40Wr2htHaoiIKFnxsTfywzk/gXHOT2jxRto/EfaXu0BDrI9HRESUbpj8kB85FzlN9Js7VnsLLd5I+yfa/kRERJTcmPyQHzmTHyIiIiKiWGHBgxQkiiKMRiO0Wq1nu6qqCjqdTt7AiIiIiIiSFJOfBGS1WlFSUgKz2QxBEAAANpsN+fn5MBqNKC4uljlCIiIiIqLkkzF8F4q3kpISVFRUeBIfANBqtTAajSgrK4PNZpMvOCIiIiKiJMXkJ8FYLBaIogi9Xu/3WnFxMWw2G+rq6mSIjIiIiIgouTH5STBmsxkAfEZ9BtJqtaivr49nSEREREREKYHJT4KxWCwA4Cl0cCBBEGC1WuMYERERERFRamDyk2BEURw08SEiIiIiovCx2luCsdlsQSU/wfaz2+1+bRkZGVAqlWFER0REREQUPw6HA06n06ct0P1tsDjyk6Q6OzuD6qfRaKBWq31+qqurYxwdEREREVHkqqur/e5lNRpN2MdTSJIkRTE+itD48eMBAF1dXQFfz8/Ph9VqRVtb26BFEQDvyrc9PT1+K99y5IeIiIiIksFgIz8ajQZ9fX1+97nD4chPgsnOzo5qP5VK5fcTr8TH4XBg6dKlcDgccXm/VMXzGDmew+jgeYwOnsfo4HmMHM9hdPA8Rsdg51GpVAa8nw0XR34SjHtkZ7A/lry8PIiiOOjrbu6Rn3Ay4mhJhBhSAc9j5HgOo4PnMTp4HqOD5zFyPIfRwfMYHaGcx0jOOUd+EkxBQQEAV0GDQERRhE6ni2NERERERESpgclPgqmoqADgSnIO5E6ISktL4xKL3MO40Xj/SI8h9/7RkAifIRFiiJTcnyER/hyiQe7zkArnMRE+g9z7R0MifIZEiCFSifAZEiGGSMn9GRLhzyFe+NhbAsrLy0NxcTGMRqNPe11dHQwGA7Zt2zZsmetoDMFGegy590+EGPgZEiMGfgbGEK39EyEGfobEiIGfgTFEa/9EiCHZPkMk78V1fhKQyWRCYWEhKioqPBXdbDYbjEYjmpqaglrfx53TRlIH3b1vuMeQe/9EiIGfITFi4GdgDNHaPxFi4GdIjBj4GRhDtPZPhBiS7TO4+4QzhsORnwQliiIMBgMEQUBOTg6am5tRUVEBvV4f1P579+6NqAY6EREREVEi6+npwZgxY0Lah8lPinI6nejt7cWIESOgUCjkDoeIiIiIKCokSUJ/fz9GjRqFjIzQShgw+SEiIiIiorTAam9ERERERJQWmPwQEREREVFaYPJDRERERERpgckPERERERGlBSY/RERERESUFrjIKQ3JYrGgtrYWNpsNoihCEAQYjUbodDq/vnl5eTCZTAFfC6SmpgbNzc0oLS2FTqeDIAgQRRG1tbWwWq0wm83R/jiyCOUcAq41noxGo2e7s7MTpaWlKC4uHrK/e/FbURRRVVUV9J9DsojleUyXaxEI7zwaDAYAQHZ2Njo7O4e8vng9Rn4e0+V6rKurQ2trKwDX76coiqioqEB5eXnA/qFeW+lyLcbyPKbLtQiEfh7dLBYLDAYDTCaTZ2H6QHg9Rn4eo3Y9SkSDMBqNktFo9GkrLy+XAEiVlZU+7V1dXRKAYX90Op3P8QP1EQRB6urqisdHjLlQzqEkSZLZbJbKy8v92svLywP2b21tlQRBkNra2jxtXV1dkiAIkslkisInSAyxPo/pcC1KUujn0WQySVqtVmptbfW0tbW1SVqtNuD1xesxOucxHa7HyspKn/MhSa7rB4Ck1+v9+od6baXLtRjr85gO16IkhX4eKysrJb1eL5WXl0t6vV4C4HNOD8TrMTrnMVrXI5MfCqitrS3gP+KSJEk6nU4CIJnNZk+b2WyWtFqtJAiCpNPpAv4A8PmlMBqNUnFxsaTT6SRBEKTi4mKptrY25p8tXkI9h+72wRz4F6e77cCbMEny3mylwj9O8TiPqX4tSlLo59H9hcZgyWKg64vXY3TOY6pfj21tbRKAgF9QuG+ADvydDvXaSpdrMdbnMdWvRUkK7zwOVFlZOexNO6/H6JzHaF2PTH4ooMrKykG/jTCZTBIAqbi42NNWW1vrl+0fuM+Bv/hGo3HIizzZhXoOW1tbh7xpLy8v9/klN5vNfgnlQAAC/mWbbGJ9HiUp9a9FSQr9PLpHMgJdX+5v8ng9+orGeZSk1L8e3Z870O9pcXFxxNdWulyLsT6PkpT616IkhX4eDzTcTTuvx+icR0mK3vXIggcUkNVqRUlJCerq6vxecz+farVaPW1tbW2DPrdqs9lQX1+PysrK2ASboEI9h+7tA9vc3PMK3NzPtg72bKxWq0V9fX1YsSeSWJ/HdBHqeWxpaQEQ+Ppy9zeZTJ42Xo/ROY/pQKfToa2tDU1NTX6viaIIACgoKPC0hXptpcu1GOvzmC5CPY+hSpfzHuvzGE1MfiigoqIiaLXagBeqzWbzaxs4sfxAZWVlWLt2bTTDSwqhnkOdTgetVov8/Hy/Gyur1YrOzk7o9XpPm8ViAQDP5MkDCYIwaAKQTGJ9HtNFqOcxmGvHfWMP8HoEonMe04UgCH7XiiiKsFqt0Ov1Pl+mhXptpcu1CMT2PKaTUM5jqNLpvMfyPEYTq71RQJWVlYOO1Lj/oQ7mIq6pqUFFRcWgv/Q2mw01NTXo6OjwbBcVFQ1a2SyZhHMOjUYjKioqUFFRAZPJBJPJhJaWFhiNRr9vU0RRHPS8ppJYn0e3VL4WgdDPo06nG/Yf5IE3+7weo3MeB7al8vUYSEVFBXQ6nd9IWKjXVrpci4OJ1nl0S8drERj8PIaK12N0zqNbVK7HiB+co7Tjnrg21BwfSXJNfgtU3cPNaDRKer0+6ImqqWSoc+ieAIkAFfIGAiBptdpB38M9+ToVJlIOJhrnUZLS+1qUpMDn0T1XJdDz1QOrO7rPGa/H6JxHSUqv69E9gVkQhEELSYR6baXjtRiL8+g+brpci5IU3Hk80HBzVXg9Ruc8uo8bjeuRyQ+FxD1xL5iLubi4eMjKHoNd4LW1tUElV8lquHPY1tYmFRcXe26k8FOJyAN/2YP9CzVVJ6tG6zy6+waS6teiJA1+Ht2VewJNUHWfl4HXF6/H6JxH9z6BpPL16P591el0fp8/1Gsrna/FaJ5H9/ECSeVrUZKGPo8Hilbyk27X44GCSX6idT0y+aGgdXV1SVqt1qeS0WDc/+CHw71vMO+TbIY7hyaTyWe0bODoxYHlMLVabdr+hRrN8ziUVL4WJWn481hbW+u3fkJbW5vP+XTj9Rid8ziUVL8eJSnwdRLqtZXO16JbNM7jUNLhWpSk4M7JcDftvB6jcx6HEur1yIIHFLSysjLo9fqgntusra0Ne2JbdnY2gOAmCieboc6h1WqFwWDwWaG4uLgY27Ztg16vh81mQ1lZmec193kaTrD9kkk0z+NQUvlaBIb/nS4vL4fJZILBYEBNTQ0MBgMsFguKi4ths9l8nmPn9Rid8ziUVL8eAdf8AAAoKSnxtIV6baXztegWjfMYTJ9UvhaBwOcxVLweo3MehxLy9RhyekVpqbKyMqRveNyLTw3GvbjfUM/BD/VNSTIa7hzq9foha+C76+S7ub9JGYwgCGGPviWyaJ/HdLwWJSn03+mB3Odl4Ogar8fQBTqP6XA9uke9AnGvFRLJ33Xpci3G+jymw7UoSaGfxwMNN2LB6zE65zGa1yNHfmhYdXV1EEUxYOWYQKxW67BrqZjNZthstoBVjjo7OwEkTj34aAjmHLa0tAz5md3lxN3nzN030Dl0HztRykpGSyzOY7pdi0Dov9MHclc1MxgMnjZej16RnMd0uB6LiopQUlKCxsbGIfuF+3ddulyLsT6P6XAtAqGfx1DxevQV7nmM5vXI5IeGZLFYYDabAz7OMdjaPu5/+HNycgY9rk6nQ2tra8BfeHdN/KKionBCTjjBnkNBEIa8acrOzoZWq/U8IuMeRg60j/svh9LS0ggiTyyxOo/pdC0CwZ9HURQxfvz4gIt5uh9rHbheEq9Hr0jOY7pcj1qtNuBndF8/A9cLCfXaSqdrMZbnMV2uRSC08xgqXo/ROY/RvB6Z/NCg3N9ohlqbPZhvPSsqKgZd0dhkMkEQhEHX0kgmoZzD0tJS1NbWDvp6Q0MDysvLPds6nQ6CIAQ8jw0NDdBqtT79k1ksz2O6XItAaOdRFMWA37CJoojGxka/Lz94PQ7eN5TzmA7XY3FxseezHMj92QeOhoV6baXLtRjr85gO1yIQ+nkMFa/H6JzHqF6PQT0cR2nHXb1Ip9MF/NFqtYOWGHavazHUvAtJcj2/eWBd9srKSkmr1aZE+cxwzqFer5fKy8v9qpHV1tYGnFfQ2trq9wxsV1eXJAhCSpxDSYrPeUz1a1GSQj+PXV1dfqXB3dfbYL/bvB6jcx7T4XosLi72mx9gMpkkAFJ5eblf/1CvrXS4FiUp9ucxHa5FSQr9PB64L4Yps8zrMTrnMVrXo0KSJCnsNIxSVlFRkWcYcTAmkyngirp1dXUwGAxoamoa9jlWi8UCk8mEzs5O2Gw2CIIAo9GYEqshh3sOGxsbPSMX7vNQWlo66OrFoijCYDBAEATk5OSgubkZFRUVPo/SJLN4ncdUvhaB8M6j+9oC4KlKVlVVNeTvNa/H6JzHVL8eAdfvqPubXPfomMFgGPRaCfXaSvVr0S3W5zEdrkUgtPNYV1fnOSfuCmNardYz56S2ttZvBITXY3TOYzSuRyY/RERERESUFjjnh4iIiIiI0gKTHyIiIiIiSgtMfoiIiIiIKC0w+SEiIiIiorTA5IeIiIiIiNICkx8iIiIiIkoLTH6IiIiIiCgtMPkhIiIiIqK0wOSHiIiIiIjSApMfIiIiIiJKC0x+iIiIiIgoLTD5ISIiIiKitMDkh4goTRQVFUGhUEChUCAvLw9FRUUoKirC+PHjPe35+fme9ry8PE+7xWKRO3xKITU1NZ5rz/1TVFQEg8EQsP/AazEvLw81NTVxjpiIUoVCkiRJ7iCIiCj28vPzIQgC1q5dC61W62m3WCwoKiqCIAhoa2vz2cdqtaKwsBBr165FcXFxnCOmVFdUVASLxQKTyTTk9VVXVwej0Yja2lro9fo4RkhEqWaE3AEQEVH8mEwmv7bs7GwA8EmI3HQ6HYxGIzo7O2MdGqWhlpYWABgy8bFYLGhra/NLzImIwsHH3oiI0oQgCGHtp9freeNJUWe1WmGz2YYcyampqYHNZoPRaIxjZESUyjjyQ0SUJsJNfgRBgM1mi24wlPbc88iKior8XrPZbFi+fDkqKirCvm6JiAJh8kNElAZsNlvAm8xgRbIvUSBmsxkA/EZ+rFYr6uvrOdpDRDHBggdERGnOarUiPz8fOp0Ora2tw/ZvbGyE2WyGVqv1jAgZjUbPnCH3t/aNjY0QRRGVlZWD3si6iy0AQHl5OSoqKqDVamE0GtHQ0ACbzQadTofS0lLPPh0dHZ5qX3q9HkVFRaisrAwpRqvVirKyMthsNoiiiLa2NlitVoiiiI6ODoiiCEEQhrwBr6mpQVtbG7RaLURRxMyZM/3iEEUReXl50Ol0npt8d+zl5eXQarWwWq2eSf9arRa1tbVobGz0fD6j0QidTuc5XyUlJZ7zsnbtWgCIy2eJNoVCAQAYeBtSV1eHtrY2Jj5EFDsSERGltdbWVgmApNPphu1bXl7u16+2tlbSarVSV1eXX7ter5eG+qfGvW95ebnfa0ajUQIgtba2+r021HFDibG4uFgCIBUXF/u9j16vl3Q6nd8+7v3a2tr8+uv1ep+21tZWqbi42KdNp9NJWq3Wp62yslKqra31+3yB3ru2ttbvmPH4LNHkvuYGvkd5ebknfiKiWGHBAyIiCkpjYyPq6ur8KsaVl5cjOzvbb42W7OxsVFRUAHB9o38gm83mmc8RqNKcu22o1yKN0T3qVFpa6hldcTOZTLBarSgpKfGLu7Gx0e9YRqMRFovFM2oDAJ2dnZ5z4OaurjdQRUWFz7wq97EDnbfW1taAIyOx/izRNHC+jyiKMBgMnhgaGxs5x4yIYobJDxERBaWsrAyCIAScgK7X69HQ0ODXrtVqUVxcHPBmvaGhIeprtoQTIwC/ZAHwxm6xWGC1Wn3adTqd33u4j9Hc3OxpG5jgDUUQBHR0dPjEKggCamtrB+0/mFh9lmhyz/fp6OhAY2MjjEYjBEFAeXk5AGD58uUxeV8iIhY8ICKiYdlsNs+NvPtb+4E6OzsH/ba+qqoK+fn5sFqtAW/MEyHGwdqLiorQ2NgIi8XiE/vAuVHu+TWiKPodK5SFYQ9MECsqKmAwGGCxWDxJYmNjo9/oTbw+SzS5/3xmzpzpc44MBgPq6uo8i5oSEUUbR36IiGhY7pvh7Oxsz8jKwB+j0TjoWkDukYWB3+ZbLBbMmzcvYWIcjHtE5MD9bDYbSkpKkJeXh5aWFuh0uqgXCHCPggwc/TGbzWGPlsn5WQZyjzzp9Xq/5FAQBOj1es/jeERE0caRHyIiGtbAOTbhrLtiMBg881rcFcWi/chbpDEG4k6o8vPzPW1WqxWFhYUoKCiI6eKv7kfV3HNgOjs7kZeXF/bx5PwsAw21vg8Az2jX8uXLQxo5IyIKBkd+iIhoWO7RE/cNdCBDPSLlHsWoq6vzlF6OtkhjDMT9SFhBQYGnzWAwwGaz+RVVOPDY0Ri5qKqqAuA6b7W1tZ7zGA65P4vbYOv7uLnnO1mtVp/5SURE0cDkh4iIgmI0GiGK4qA3pAdWDDtQeXk5amtrfeawRFu4MQZKmGw2G+rq6lBcXOwzR6alpQVardav4lxLS4vPdjSKBbgfGaytrfWMmg0nUT+Lm3vkZ6j5X+4KeYMVfCAiCheTHyKiNBfs5Pbi4mJUVlaipKTE7wa7oqLCbyK+2Wz2SUIqKiogimLA9xmqLdj+4cToVl9f73fMkpISn4VE3ebNmwebzebz2dyjJ3q9fsiRJ2DowguBuM/bcIUO3GL9WWpqajB+/PiARSWGE0ziA3hHhdwjhURE0aKQpAFLKxMRUVpwr4XT2dnpV/rY/ViUyWQKONJgsVhQW1uL7Oxsz+sD15ax2WwoKyvzPCpVXl4Oo9EIrVaLoqIiz3HdMbhviMvLy1FRUQGtVova2lrU1dXBZrNBp9NBr9d71p4xmUye9W/0ej1KSkr8HgcbLsaB56GiogKtra2e0Y62tjaIooiZM2cOOvG/pqYG9fX1KCgogFarRU5ODiorKz1r6QiCAIPB4LmJt1qtqK+vhyiKnvPi/lxFRUVDjoTZbDbk5+cPOycnXp+lqKjIM3rnfoRtOAaDAVarFS0tLZ4RrIKCAuh0Or+qbjU1NVi+fLkngdNqtdDr9X6P5hERhYPJDxERpa2BCUMsy3BHwp0wDVeBLZ6fxZ3MsRw1ESUbPvZGRESUwCItdBALiZooEhENh8kPERFRgrBYLMjPz/eZhxVsoYN4stlsyMnJkTsMIqKQcZ0fIiJKW+55JZ2dnfIG8pMDK9UtX7486EfL4vlZDAYDK7ERUVLinB8iIko7VqsVZWVlPomGe1K93KMsA8txByrScKB4fxaLxQKbzcYFSIkoKTH5ISIiIiKitMA5P0RERERElBaY/BARERERUVpg8kNERERERGmByQ8REREREaUFJj9ERERERJQWmPwQEREREVFa+H9Rpaget9OwvQAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"line = lambda x, k, b: k*x + b\n",
"si = 38\n",
"T_tail = T[si:]\n",
"kappaRev_tail = kappaRev[si:]\n",
"popt, pcov = curve_fit(line, T_tail, kappaRev_tail)\n",
"\n",
"plt.plot(T, kappaRev, \".--\", lw=.75, markersize=4)\n",
"plt.plot(T_tail, line(T_tail, *popt), lw=1.5, c=\"C3\")\n",
"plt.plot()\n",
"plt.xlabel(fr\"Температура, $K$\")\n",
"plt.ylabel(r\"Магн. прониц., $\\frac 1 \\kappa \\sim \\dfrac {f^2} {f_0^2 - f^2}$\")\n",
"\n",
"plt.savefig(\"plot2.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "f5e0e9df-c3c2-4980-a0ba-e0eb2cb86ff4",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 10.83492707, -3177.29142511]),\n",
" array([[ 1.47017342e-01, -4.44001012e+01],\n",
" [-4.44001012e+01, 1.34151101e+04]]))"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"popt, pcov"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "4da5f1c6-0eae-4946-99f9-19cbb000b51d",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"293.2452987878977"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Theta = -popt[1]/popt[0]\n",
"Theta"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "8facb2b3-e789-4f70-a276-44fc1e90ab74",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"115.82361625604054"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pcov[1][1]**.5"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "17b27e0c-9e6b-43c5-8583-d797319b73cd",
"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": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}