{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Speed Up Batch Fitting Using Multiprocessing\n", "- Example: Dynamic Unlocalized Phosphorus MRS\n", " `2024-01-30 CSI AMARES Fitting (IOWA)/Data/Phosphorus/Acceptable_quality_tibialis`\n", "\n", "- This tutorial demonstrates how to use the pyAMARES library to analyze 31P MRS data.\n", "- Data provided by michael.vaeggemose@gehealthcare.com." ] }, { "cell_type": "markdown", "metadata": { "id": "ICHj0i89Yskn" }, "source": [ "Files:\n", "\n", "1. **Prior Knowledge File (CSV Format)**\n", " - Filename: `JJM_3T_v3.csv`\n", " - Description: Converted from the OXSA prior knowledge file `AMARES.priorKnowledge.PK_31P_3T_muscle_AS_TA_171122_JJM.m`.\n", "2. **P-File (Matlab Format)**\n", " - Filename: `20230922_091144_P51200.mat`\n", " - Description: Raw data file from MRI in Matlab format for processing.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PyAMARES can be installed by `!pip install pyAMARES` in the Jupyter notebook cell, or `pip install pyAMARES` in the terminal. " ] }, { "cell_type": "markdown", "metadata": { "id": "kmSfDWhSaaTb" }, "source": [ "Import needed libraries, including pyAMARES" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "FGnMEnUXAtpd", "outputId": "70d97826-423d-4c85-cea9-284adf414b65" }, "outputs": [ { "data": { "text/plain": [ "'0.3.15'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import io\n", "import pyAMARES\n", "\n", "pyAMARES.__version__" ] }, { "cell_type": "markdown", "metadata": { "id": "tla0O-qJafSj" }, "source": [ "Load Matlab file into python using `scipy.io.loadmat` or `mat73.loadmat`" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "gOcqbLkMA2DM", "outputId": "82d38235-0f99-46d4-de3f-47355c5d9ad8" }, "outputs": [ { "data": { "text/plain": [ "dict_keys(['__header__', '__version__', '__globals__', 'h', 'spec', 'par', 'fid', 'hz'])" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "filename = \"20230922_091144_P51200.matlabfile.mat\"\n", "matdic = io.loadmat(filename)\n", "matdic.keys()" ] }, { "cell_type": "markdown", "metadata": { "id": "3b2eL7cJbrO7" }, "source": [ "Extract header parameters and data used for AMARES fitting" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "jkFAXwvnBn-a", "outputId": "dd1c5c3a-2975-473d-85b3-6c9c0cbe07f1" }, "outputs": [ { "data": { "text/plain": [ "(375, 1024)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h = matdic[\"h\"]\n", "par = matdic[\"par\"]\n", "spec = matdic[\"spec\"]\n", "fidarr = matdic[\"fid\"]\n", "fidarr.shape" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "id": "I3nASZLhB6P8" }, "outputs": [], "source": [ "TR = h[\"image\"][0, 0][\"tr\"][0, 0][0, 0] * 1e-6\n", "f0_avg = float(par[\"f0\"][0][0][0][0])\n", "sw = float(par[\"bw\"][0][0][0][0])\n", "samples = float(par[\"samples\"][0][0][0][0])\n", "dwellTime = 1 / sw\n", "fact = 2\n", "beginTime = fact * h[\"rdb_hdr\"][0, 0][\"te\"][0, 0][0, 0] / 2 * 1e-6\n", "bofreq = f0_avg / 1e6 # convert to MHz" ] }, { "cell_type": "markdown", "metadata": { "id": "rx46opVnb-25" }, "source": [ "Remove dummy scans -- approx 10 points" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "id": "h36dBJJ5B1aQ" }, "outputs": [], "source": [ "fid = fidarr[9:, :]\n", "time_axis = np.linspace(0, fid.shape[0] * TR, fid.shape[0])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "FqQ4ipM4B9mL", "outputId": "140b69ae-05db-4347-eeb0-6f814257742c" }, "outputs": [ { "data": { "text/plain": [ "(0.000455, (366, 1024), 366)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beginTime, fid.shape, len(time_axis)" ] }, { "cell_type": "markdown", "metadata": { "id": "mrLz1ca6cMSR" }, "source": [ "Check the SNR of the input FIDs" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 447 }, "id": "sStRvLW5DaeP", "outputId": "37d4661d-2cd6-48cd-c09c-e18dca6203f6" }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AHTpcKWmZosTQM74bHm8a9NtCT/7GjGQPz5dw+jTKpZuJReqhYQ8h3bespfNHf3I3rgylkywNnc5PhrDa8BNbBjYtucwiMkXJgeoc0TgskvDDd8fKm1DSNPQ8Yvm7++PZpF5s9RSeO+zPgXJgUkwMfbble01jg/COb9+OuzbvCeWQ+OdZ3RIx9Egv51/nMkqdyWL0uygJyfPlnKiNXoShVwGcLaU8AcCJAM4XQpymHfNWALullEcA+FcA/9TWVhYEPQxDFdeYKZo1U9Nyy7RsJQORxWQafsjQ3T6MQ+9iYlEU62vQ0DO69fINm/H4zsDRmZV4QhM3GaAZA0Nv1jDPZs9MijzRnaI/v+spvOBfrsKGTWN4aNtebB2fxlEfuhL3aZE+VYPkkhae2CpD1ydIU2w29aGKpzdEudRmuXl6o4CG3vBlYpxkTXT0031mpE2SEhBtmsML+QkERKPRRVkyC7kGXQagor/l8J/e8lcA+Hr49w8BnCN6kLtNHTpUdjWnaH72nb7k3bRrCt++6QkAkYHI1NBlf8ehd52hs2eQLp05obKHKYuhk8EkAzRT9xOGptks1bpBXigKXQ6k37FnpoG6J/HKf78e5372Gvz63m2oNnx868bHY9/nk1HDl9i4aQzHfeQX+MXdTyXbmWJw8iZr3SfB70NDySDBayoyxh2IedcvCj0KRUqJ133xBlx5Z+TUDvJJWmDoMjLI8d8XfZkmSr5iFUIwmaz3RK6Qhi6EcIUQGwBsA/ArKaXupj4IwCYAkFI2AIwD2M9wnouFEOuFEOu3b2++kFEeaPAMV1xjpmiaQQ6cHMHfdFN+vGEzPnDZnZipe4nkD+M5PImSyhTtP4PePYaefKiiKJf073H2mcUldJZabXiJOvjN/lQvx6GehSmdoacYhYhUxN/XNfRbH98NALjh4WRxrzSGnufE11c8WZE1VACPfkYjZtBnZ/B0jdvzJW5+dBfu3BzlHTQ8mbh/2Qw9OlfDILnw9tMGIQ0/rtPPNkKunShk0KWUnpTyRACrAJwqhDiulYtJKS+VUq6TUq5bvnx5K6fIBHX+UMWNMReufZnAB5p+c2bqntJYMzV4FuXSdwxddo+hZxn0LObM723W0lB/uImhT9e8ws5XHUqum4XkosIWU4yCK8zJS7EoF99X495UWTRN8sgjIK6TJbmYDbonZeLzdksu9Fv5hFz3/cQ4+cef3YtLr3k489w+Y+gxY+0nGbonpdqhTICvruYJQydIKccAXAXgfO2jzQBWA4AQogRgEYDm63/OAmNTNdz0aHBJXXLJyzAzsQi1g3ndU5mmWUyGEov6jaH7Ycxtt0IxTQkpkeRi/o7UJpwsDZ2zKCklZhoeJqoNnPqJX+Nn4dK92dVIQ8k3zRW5klIyySV72U6yh24zqto4p+guUyG6NIacd2v1FU8agwWi8hrRqkWq93lbH9o2gW/e8Fj2hTWoTE2KVArDMPXQTf32/ej2zfjEFeYdt3gimzlsMcnQPY9LLowEzoHnvkiUy3IhxOLw7yEALwSg985PALwp/PtCAL+VXS6X95av3YJv3Rho3rpTNC8UzFRRLapL4at66nlO0X7MFDUxrU7ClF6dx5z1/s6KQ+dae82LanLsnWkop2qrUS4z9eYYWs2L6p/QOdKW7VQvhvrgnd+9HV+57tGEMdOLfXHUw/IUOqgNT+6ewvhUPfG5vmlyLMpF6yzdKUqfD5Sc2DP5qv+4Hn//47ubGle6xl31gskwFunjFQ+xfff3N+D6sFpkELmSXImbiIUn405RksnmS5TLAQCuEkLcAeAWBBr6T4UQHxdCvDw85ssA9hNCPATg3QDe15nmpuOeLZH3n+pJqMwvbWbXYQxNIoZe81jYY/pA8WOZor2/se0CZ8zdmKPTUsaBDIOuGcEsyYVr1Lp2TvJH83HokTzXDOIRKtmx7A4LjwOAH2/Ygo//9B7UvHhlQ9rI2GzQfQwZtsnzpESt4eOcz1yNEz7+S9z5ZLwWTpbkore3olWNpM8HynEZlPY35cY4D8rRKun3GBi6n3SKmtpdbXj40W2boygXKdX5Yqn/BiPtpWjoUsav8eDTe2MlJq59cDu+qTm1243cPUWllHcAOMnw/ofZ3zMAXtvepjWHihst6YbKwc+qeT5KbqRpp8kGJg2djPd03VPMK0t2oOJcEt1js91AXMuONnPoFKLoCN6G4P+07tcdiVm9zxPOdANM2Y5Nhy36rUku3BDVNYlCh040TOfw/Chix1RZtOb5GCy7ibBG3w+kH3p+Lt+wGcevWqQ+16OG0sL6AKahaxNzxXUww4qDlcKV7Ezdx3Al3s5te2YwUHaxaKgce1+f2HkuAaHhy9Rxsn1vFSsXDQJI1ob3fH7+5DX1dpCkJERcYq17PlzHxfa9VbzwX6/BYctH8Nu/ORMAcNGXbw7+P+0QcwPbgL7JFC2zATxUCTccaMQHVdrDwt+PBmLwulqPGHpWnKnnS5Tc/tPQs9hYJ0CXMEe5pDAv7b5khqeyz/Tqg1SPpNmFiHKgN+n0i8uC2aGP0ymrRN2Y1TOconXPV88GhydljClfpSUSZUW56O2llcEtj+3CI9snonIcJSc28RLrnzZMghd/81Z80rD7j16ci35rfGJMZ+ibxyK2vFcz6D6r5WJi3xw8jFdAv4/B+1+8OnDCjhkkrE6ibww632SX6kmQxpZV9hKIM7zv3PwEHt0xaXSKZjGwhi/hiP6LQ49piG2051///WO4/YndifdN8cuRhm4+l87Qsww6f/j0qn/E0JuVXFRyTcNvyqFqqsOSFilBBkgPIdWd//T7So7BoDekUXL5p5/fh3d8+3YAwNErF+CR7ZN4anxGfZ4Z5aIZPJpIPnT5XTj7M1erY8uuiBlHMvymZ2psqmY0hIUYusEpStg8Fv0mfZUS9F0knf14w+aEs50fq4ifdgzdP9pfdP8FA6m/oxPIlVzmC8qlaNANhoNWL0Wa1pF8oP3ynqdx82O78LJnHgggcHRR2OJkSj1pOrfauaZPDXpgbJMGoRV85Cd3AwAe+9RLjNeLO96C/4tq6EUTkHZPxQ06MXZ+bSll7v6m8YqCPoYqxfqITy5ZtYQAltQSRuaoa8eW+1Lp1KYmp2nom3ZNY9OuwAAdst8w7ntqL8an60qe0M8VS7xJiXLRP6+U4uG8VEPeVKM9rbpnFIEWvK4ZGHqWhr55d1RKYc9MfMLgceh7Zxp453c3YLhSMq5KuYaup/zXNX+KvhIAgnupy0ntQp8y9GDQ0o2O4lfzNXQgWCZ5nKGHN2cqJaU6uAaLQ58DCQbtgqmmSiehh6YB+XHoen9nBRvwe71zwszQZUzuyW8zD1e77PbNuPz2zflfAlBr8EkrWxbcGxogL9SdCZzRcw3dRCpIQ88CGRrOnPX7nqUx61IPrV50Jy2RH5NT1PPM9fc9bWyQP6SqGdS0cTI2Hd1vs+QS/972vVWz5CLjZQL4MZE/JfjfVIZh70znZJi+MejlDIOuh4YR3v39DbjuwR1GT3bcKRoa9HqUfOL5Ep+44l5s2zsTXsvDQMm1GnoBFEkQmo3kksXQufHVJZcpFeUSvVfkN3Oj+oHL7sS7vrch9ztAPG1flc9NuR458TwZN7b1mDGRasyb+jjQ0LMN+sLBpEHPkrR0Jl3RDDcZO/19koRMoZ68VorpukpyocQi1tYsyWWSGdekU1QmavrUGp7x/vO6LXpZDBXxFE5UE9UG7to8jrM//bvo2hnEcLboG4POmUEkucSXsaawpT/68k3JOGYRHVtl3n8powH46I5JXHrNI7juwSCOteb5qJQcuK6YEzUd2oWsh7dV6OGCpuvp0TX6e9WGh0t+8yCqDc/A0LMklwwNvZqMcikyObfqM6HxOVh22EYXaQw9qiPCjS1nmnz5b2p33TNr6ByKoWfUWecrpnyGLo3vK6eoQXLxpTmWvJ4IWwwll9jEmC65kNMbSLJkTyarJda9FA3d89XKw/PjY4rOMcPqR33gsjvxyI5Jdu3OGfS+0dA5AyAdrxo6qVSsKbs5tMGB64jEjXQdYYxDB4JlOU9c4uVYK64T1FXuI4aelmTRKrbtncEj2ydTPzdniiYZ+jdveByf/dUDcB2BM49abjyHCdw40RggTBni0AsZ9BYTSkgyGK6Ucve05U5Rzmq5H6DuRY49fV4gR16uQR8ODHqM9aYwdFPf6NIK33Qmflxg0GcMkksqQ9fixJVTtB6ffNIc0ySpAUmW7DOnKIEnfsXaISNy4+tOUUYECXdocf1WcikAPpBo8NQ9X6vLEP29Z7qhjtUZiOsIYxw6wGtvxAd1rREydNFnUS45xm3b3hlc9OWbsLvgPpHnfuZqvOHSG1M/j3IGWBv8pIZOx+2ZrjflFOXygc6UyKBLw7Wz0Or9Ju13qOxGFRvTolxYHRFuBMdCgz5QcgINXUumI6jVQI7kYmLouqGjc5t+dxpD1w19FkNP09D1lTYlUdU0P0K65GJe2QTfi+coAAEhbLBVFL8GX0manNszdc8YOmq6djvRPwaddR51ZK0Rdbwjogf9C1c/jL/5wcbge26SoZccRw2Kmbofe4BoltcfwGrDx0DJCdh9Pxn0lL0kCfdu3YtrH9yBB57eW+h8e3IGs+74AmBcYdGkXW34qQzSBL4Nmx7pMGVILCpirBuexOLh5qMWIobupvp5CMTqfF/GEnTGpusQIooiIdaql0745T1PA0AuQ19ocIrqk4ye1s+jYHQjxqNcOJSGbpDf0nbI0sOPlVNU8ymkTeicoevj0JcmDT3YhajsCgyUon4LZJaoD2LjheUkLB9NhiwC1qAXAjc83KDzAeX5Evdu3YNPXXmf2n2oUnITDMQR0KJcfMUoaHmnL5GJoQcbXPSTQed/mxxV6ZptKzDFoZsklwqT1fT7l5nRy8aJ/lDXvcAgxvT7lN+1ZWwav39ohzrnUj3dsQDIgAxXXBaHbr7eBCvdygnG7qk6yqxssymj9LLbN+OvvnM7gHyDTgw9LrmYfRQmOWXA1Rl6SpSLS8+TOWzRNLFFpTyC1zWDht5gDP2fXnN87PtcQzfFoevXpG3lXEfE2p9k6JwARAx9mSEGHbAGvRB4p5a55MK87L5ErBg+EDjXPvPL+2PvccmlWvdQrXtYMFhS5+T/0wzd8GUgufQdQ8+WXPK032YwU/eiyKQcp2hs0k6RBEzg42TvdFLLnKo1tCgX87ku/uZ6/MGXbsKemTrqnsSSkeYNOo2huE8mO7Go7vkxCXBsqoaSG5VtrhskF3Lc07WyEIUtJmUEAq9QCMTZd2GGHj6jRsnFN+vgCYZuKp/LwhZXLRmOfZ8bcV3HbvhJvZzGVtlxwOcjz4+vUvg9o+vP1D0sHzWPiYmq1dBzwZeFFLY4WYvCjirhkmmXlkyyd6aBB7dNxN7jRpnCFsmgq13alWGXrH6Gi1Kf1UPXo1wano+t49OJz9sxiR399z/H7qlIWiBEURXRsdxPkgyrS78GHycm+WeS1UUPzpUmgQTfvfaBHWj4PhYOljLL9ppA8s9IpZRbbZH7argcsnuypso2N7xotcL74N6nIjmslTj0tCgiVXiLGWudiUeEytw5ulOUImdMqyzdoNdY9BlvK31e0m7IVC09bJEmML7aqIVyXlDSI87Qo3yJeP9cfvtm7JkJSMEyK7m0Dm5EKZZ270xdDT4adLsL1FZwHaGl/vvqnF+67lG8/0d3Mg0tSuboS4au1bW47PbNOPvTV6uHYzYbJJtKuZqu62sPMhAZjlrDT6SfZzpFYxX/kmNhutYoFLa4dv8FAIDf3Ps0Gp5EyXUwOtBc0FjVxNBzImaqjThD3zPTQNl1VMkJtTtX2AfjU3U8zAgLd+6ZMDpQguuImKHV63zrGjo3gmkMPRH9Ev7O6VpaBE2ybVEWcfDatOk1l1y4X2244sacorrkQhMYn5wiycWJjdVggwup/ua257u3bMJHwyzo5VZyaR2c2RCbHp+uq85WBr1ANIbLKqjNhAydDPq1D27HtQ9ujxVTopoxlZITVpHr0zh0X2Lb3iqm6160e0uOM49DT3bJMuhxhh7/P/g7ZGlek05RX6oVXDUMNeWYrHqFJBcyAA/vmFSOswWDzTlGyak3VHYTUVNp0Bk6EDDRsivwo9s2Y0tYg4X6+nO/fTC2gsnT0Cuug8GSk5qNCrAoF2LfGZKL50s4AnA1hq4n4KjjyV+i9QPfxFkPW+TgTtEyY9ULBkuoeT7LHo+fXxl0NuHNNDw0PB/lsOieajvT2z1fJvqHSubulyLDWYPO8PO7tuLID12J392/DfdujWqg804tuQ5GKi72TEdsixjCrskaDlo8lHmNoJZE8DfFoUcaeqBT1pgTS0kubh8ydE1yoYGvnMNNMPSpWtIQpV43p9oiX3Y35RT1fGXQAWDhUJxVT1QbhSQXmtDqYWhbyXHUGDHh53dtxd1b4vHIxDBHBkrqOnm73tQ8P1GhkBg6B53vyruewouOWaHezzLoFdeB4wgMlN1syUVn6KERFyJ5Txt+sNeuXoK3zpyHpnbr95BHqKi+MjF0tmlJiU0iRMhUvZ6EQY9kU3XNqsdKekTn8lkUji9l4p7RTx0eKOHCU1bhU6+OO2c7SfjmnUEHgof4zV+9BS/+f9fik1fciw2bxhIz7qKhMvbMMIYezrxjU3Uctnwk8/yUkAQE8b++jMK5gDCDjCUWkVNmoOyoOs/9Ap2h0wNIxshTK5X8QaqHCWZKLux00sDauKasXzvLKdrwZExHpsqchK3jM7mx90Bk0GvhsrzkCmU0eJsJf/6t2/CSS66LvacYeiU/Dp1ATnogKmtbckXqpLZ3po6VCwfV+1lx6LSK1Rl6Wuq/7vB0hTBMLEGEmL7rEZEg3aCnEQQul9BHJn9DgzlUucxDvoGJlJr3tFLgDH26FmQh6xNmHkOnYm6DZReffu0JePHxB8Q+7yThm3cGXS8L+sVrHsEr//16NVu//azDAQQGeM90pKHT0nr3VA0r2AA3gcev05ZcnH3VWWRFTEN3HbiOAymb35dyrkLPmqTJK4uh752p40OX3xmrnQEkMzNLGuuJXVdbGQRtiT5XpRk8A0PP6Pua56PsOsoIcc1UCOCJXVO5GxwAUZmAuheMhZIj4mOEtSl9pywfQgCDJVftdpO3c3zN8zHT8DFYdhSbLDkiUTkyyJCWmKx5GBkoGX+vDjJmg2U3sa1b7NzaiomeLZ3JAsTQRcJhTBPGTN3Ht296Ao/vDLKHvRTpiTN06k+z5MI0dM7QQ4M+ZSjvAETjmTP0qXqwwncdEVthBPJPPMqNg44cDPtal/WaLc/cDOadQde1OELDk3jdulV473lHAwiWWOPcoLO45YU5Wme1EWWYjoVGiH+nyiIreJRL4BQN29MnBj2NodMDb9LQv/77x/CtG5/Al659NHYuys4luGxyTsQ6h/JOteEZwxa55JImCZgQMC6h4qU5Wz9w0RCe3DWllYc1M2bF0FUkRFxyice7mx3x1XByIWmgzmqEpKHuSUzVGhgsu8pglV1H6bJHrQictZ4fjmNfYmSgpGQm3bhwkDELJJcsDZ3e1xi6waB7voTrisQ+rzSOdk7W8IHL7sTrvxhkD6ftYUsTaKXk4P6n9+KS3zxodIp6TA4psd+6MLw3k2mSSyPygxGmah7qnh9sLenGGXpaHDoQ7ZhFY0vfsNsydIayoXA/APVQERYOlbBnpmEMrVo4VMK33vpsvCRcCjkCeO95R6nPPT8y0tT5cfblq+UyZ60DJVcZqXbctHu27DFu2ttuSClTMz2TBj0e+2ty5g2FMobOGvdkMHS9v3xf4oSP/RLn/es1xvK59CzXGl7CCGZKLn6gd1MExGDZwZLhMt70nEOwaslQwNAN0g6HlDLG0OueRNkRCVmOwCOrfnH3U5EG3JAYcB3VD3wpz6FHpuyZbmCw5KpQXG5sPvv6E7BwsARfSjXpjA6UMBLeE9Neo4QB1ifVJqJcypyhizSGHn+f/ADkQHxqz0zsnDqLpd9Chvmzv3ogljGr2hrGget6Pkkuk6yEAkfE0DXJJZTTXG2s8nBdfcKjkEgy6Pok18mYiXln0EspDJ0eKkJCcuEGfbCM09cuw6mHLgUAHHPgQrz9rCNi59MTHvjDKmWUsszTrSnKBchmiUVxwSXX4jVf+P2sz5OHK+58Ci/612vwi7ufSnyWztDjEx4/bnHYV2O6Qc/Q0HWdttrwUW34eGznFNvIl7UrfNOcKZryQxGOE1copjpYdnH7h1+Ej73iOBy8dBibdudLLtP1aNVALNh1HFx02iE46eDFANKrOv6fb96Kr14frFxqnodyyVFEJIgjTz7towPxFeVPNm4BEBkfLkMuXzAAJwy7JeM1MlBSCUVpzw8QPSODJd0p6mPBQAkHhhteRLVc4kbQyNC9pFMRiPpVr3iZpqFTliePJNprKEPbCCUXR8QnkYWaQdcnffq9fMU2RQbdcRLkI4qJT054NM5pIhZCxFZG7apaasL8M+gpjrSGpzH0wbhTtMK0MZqth9QMmuyGqXp8sCzUIhimVJEuX+28TnHoABKx0a3iIS3pqROgRKEbHt6Z+Ex3EM4oDT2+vR9/AEcGgn4dn67j5kd34ddhHZEEQ2fGRe8v2sKLn9uUkt+0UzRcyZk05dVLh/H0nmosAcVk0DnzDaJsgtC2tSsW4MJTVoXXib6nT2y0vVu9IVFxHbUkT6syaIqeeWrPDJNcon7cb2RAhd1G7XSV5JKl0Q+Ez8NgWQ9blLhw3Spc9vbnBX2SEuVidIrKwCDmbPoUHW9Y8f3xV27Gn35jPYB4X5jyCKgOjKMxdMoRmGbjlvebKQ49cIoG95ZPDjpD11eI5CvikwO/lpVcGEopS8Z6uDQiLBwqY+9MI+aw5J8Bkcefbvz5x67ESPieztCHK6XYoOTOlSrLMiuph3P+xKLTVmNbmBElxAoPGRg6GVluwOjP8ek63vbft+JPv7Ee377pCUxrmxnwZzzN57DfSMVYy0VFuTTpFK03ggeZHrAB9tBRZh/PVTC1i5bUS0bKKvmE7jtJgll7l5LRq3s+yqUoC7HhmZ2iNEESDlo8hDeeuloZUs7QXUcwhu6F3y/h4KXxNHgTIslFY+h+EOlBRk2vtpjlFCWnoi7FAElteabuRZMFm7yveWC7+psb9IlqIzFRkFNUiLhuT7+NJELflzGbMNNISi41L4j5dzUNne9YFEgu8XtG/oxBRiJ5kpN1ijKkMfS658f0dWLUtNlsXHIJPhvSNK4vXHQK/uGVxwFIGvTBshsbAFNspifnzECZMfR55BQlg7CVbQxM0ItkqSiXhIYevP73qx7CzY/uAhA4lGns3vLYrmTMcQHn47LRAXUOU3x4vUmnaN2nKJeQjbKHzuTQNp2LDOXS4Qp8GbSF+lBN6Bl7lwohcPUD2/HTO7ai7DpYOhIQjC3j08Z+IHZ53EEL8et3n4Hr33c2PvnqZ0YGXTOMrhDwfcQkl0+++nj846uOwwmrFqX2Tcygx/YtDRyD+thOMHSDVp6moQPA4ctHY6+3jE0jr9jbAiY/Tcw0EpswN0INXWfoNHHzOHduZKOM8vjkuXOyFoYtxh34ulPUFN/PfR/x4l6dsw3zboOLNA1QyvhnJKvsZvWiCcTQIw2Sz+TBjZmq6wbdQcV1lCGbUtXvfPVeRXNwzQZZ27S1C1fcuRWDZUcxBhND1zcEriaiXCJfwoNP78W//CIqdLZrsqZklu17q9h/wQAqrsNqdkfXIQN41IoFWLVkCL+5bxsAYlxJyYUM7WTNw/rHd8XbnCW5hCGGFeYAJJDRidXXNjBmkjJ4QS6670oPD3/czokqrmXFsYLrAG/6ys0AgjFz0sFLAAC3Pb7bWG2RNPTBkosjwpID9F0gMBa/e8+ZahxStVAK9RsdKGHBYBl/+OxDUvsFiMY+l1xkaLBKrqNY9pbxGRz2/p/hHaHfiRt0nXBRHLoe5QIEBv0+Vmdm89i0SpdPu4ejMcmlgcOXj6LhSewMV0H1sMiWo8k/dJ/rbLyOGFb7A5oDesfeKg5dNpIIW+R1ZRq+j4Gyk0j44qu/SpcM+jxk6OlN5rMgsRoyKBWDQScD4RqWZro9HSy7iZAmQMsULTlti3Lpgj3H2/77NvzJ19artu40lEWIMXQ/I1PUk/juLZti3x2bqiuZZMdEFTN1D4NlRz1cnI3Sdf78zMOUBATEtxRLc1bqBjOToYe+FioWxRmZiV0bJZfQoPOSuWTIy0pOCb73gcvuTLSPj7dKycGKhYNYtWQI37rx8ZiBI5DMoJMZHl2yZtkIjloZGHsnrBbKGTpHWs0ZMmYDzCmqIlkcAREO/5se3QVfAp+76qHgN7jRSjcRh+5RHHfyeodrCX48zDjtHnKZZm+1gUrJwZXvfD7eftbhWLVkSO0pquv5dJ8Vs9Ykl+g4rRREzUPJSSYW8Zoz5DjVEWfobEKwkksEXXfj4OxA1S83aGMkudBNiS/NouP4Mmqw5MYmjCkWz8rDFtvF0Dt507OupU9E+vZaetiiilaYquH7oUHXH97lCwZCgx5sUjykLX+Dcwfn0wshNTypQhSL1Ck3/QaOuhfUb8li6Fz/Nt2HSQNDp3EZRazI2P8cgrE9Ov1JBy/BYzunjG0mDV03GvQb9GeCtlCcIA1dyw6962PnJWqFCwGcfdT+AIJnQJ+wOUMnkkRt5wxdCJ2hJ8P+CHrtG+5sTHNB8fPXGoHDcv+Fg3jveUdjsOyGxbmCsEWu2yuGzopqmXYU0iUXILAXehIcl1zIcXrTB87BCasXA0BiU4xuSS7zzqBnpYtzh6kqoE8JA+FnjoCKyT0yTMJ45UkHqe/xm8CZzWDZ0Rg67VwUD1ukpWVegkgeuinB8wGmlxWNFcnyo80VqF/pgf/mDY+rMDK97cceuBC7JmuYDBNiBo0GPWKCfHnL61tz25rFwrMmQ3Jg8rBFgquxa94uDiW5sF2KaHmtkoTC+2+quMeHMEVEvPOctXj5CQca20ySiz72TWGLQFRcLo2hA0gY3g9e8Ay8JozQqbgOGr4PKSU+HUpoZWaUKXacwKNcdFC1Qv16QNBXl7zxJDW58P05+eqNryj0a3BDGZQQDjV0R3eK0piL9hkuwtABYMWiwdi54gxdhtU2BVYsHFRkUe9ztYJzRUef7Xln0LMSIzhTIelDRaCEN2rBYFndnNVLh/HwJy7AK06MDDo32jy6YIBl5gGcofvGOPT5xND1AlyxzzQNnZbiV92/HTc/uiuWKbpy4aAxmuLYAxfCl4FGP1iKGHqM/XuR/BWLT0/R0Isw9FrDx8s/f10sHDPQ0M0MnYwFjyE3TcwmDZ1+U9mJM/S6J1VUin4dIPLxHLH/KC5540l473lH4fxjV8auNxqOQ31MpDlFHUdAymAlUSk5xmdGN4yutrr1ZRDi96XrHg2uwSZafWzzOHQdXugUNRn7kuvg5ScciOceviw8loeoRn6kRSwHRL/EQDnOgoOwxWi1Rc8jZ+g0psulZJtohb6AGeSVCwfjDF1Gm1r4YVAE3XeaJEa0GkFc4rMMnUF3uvBxwpkKHadLLnp1vTTWA8QLNwUMPZ50AAQDpNrwlCGi86VtJVYUXbTnmanu8cSiyAG8cdMYXvfFG2LH8wmN4+iVCwEAT+6eDmqQhA+hb2Do+vKcEkX0dnoy0GYvveiU5O8JmzQ2VcMdT47HqhxSzDgZOb4icxRD5wY9cXpMVhtwRNzQDGuJOzQp6Nfj1wGSpVTfftYROH3tMvXadYRxRQNE5EbPnnYEVBx6ml6uS778vtF5eaRXyVDRkcDDFnU0yClq+Cpdk69q41FVwf88VFFn+qMDcR8IEQC6Hp2ba+h0jZNDZzQHRT1x5+uKhYPqWEeQDBhJN9WGr8Y0TQh6v0fjzbEGnUNfXvJKcpypRAadkn6CDs+r48INOg0WIYJBW4kx9CgOvRZuEA1Eg3u2DL2T2WSJa/n8b42hs9fTdS8x0fDPy5oxXrNfwNbJybltbxUD5SjJpaFNFkCwsopJLn5UPS/uFA1Y5n5sVxhiVTyLlP9P1yy55igXV0W5JNvFMVFtYKRSii3ZKROzrCQXYuhBmCQ36HlJNryLRypuIuSOQNdPMHQRaOiT1UYihp0fE3tt8D/xcsdBck10PJeSKgUYuinKhZ5R6nfO0Om7/H/TNTjpKjuOcooKjaGXlW8jmjQOWjyExz71EryQlRem38L7Z+WiQfzxcw7Br999Bk49dGkiDt30/Ov9zg26dYoy6IOXsyTOMiINPS655Bl0/uDRYBksuUH6rinKJVxyRQ6q4H9TJbhm0FXJJcMpyl/zEqYEvhLRy4xe9rbnYeOHXxTbimuo7OJd567FiasXxzV0L9LQ4+ePJBceyulLCccBFjMd+5YPnYvnr12mzltVej8rBdsIDCyPuSa4GrsG0hOLRgdLsfEwXI47LiOGLhMGHYgv6RMIf+f5x67EV99yqmprwqBrY079jjDKZaLqJZb+BJ3pxp6d8G+eN1DSdPBjD1yYaIfJoNe8ZLVCQllj9vruP3Tf6Xeff+zKBNPnDt+SK5T2T8fRZFEKN6lo+JHk4moTChAROs4bVy4chBACR+y/QO13wMMWqw1PfY9WArqGTjHvA2UrucSgG/Th2A1lbCtFQ9clFx2m0EdaRpmiXBrhLig0M9N1TDU5moHsYqIp33k926Ana2fwzyslJ3Z/hiouFg2XY+F9g2UHz1+7HGesXWacSFxHKEMSFJmK2K6vrSRcIVTdmODcbmz7QIrI4ZMrJRaZJBfXoBGbtPrJWiNWkhaIJv+ociJn6CLmf2l4kUFYsTDpNKUrLltQwSmHLIkMepqGrlk5inLZtncmdRs03by6BrmSx1XrOwut3T9KClKSi8Fo1xqUlJRsA/VVVC4jXm1SJY/5Pl510kH4wkWnJJj+MDOcJddROxbRBEKTNFVM3DlRUz4VZdDZvaHVEJ+AlrHNnmkzbs7Qq42I0NH/uuQSaeiWocegSy58JiwbWIYe5ZLP0KNz0LKJdDVTmJN+Q+n784mhcx3XVMaWMGmobseP1zPq6IFZMBiVTYgq0MXrxpPRLrlCabeLQvZNfamHVzqOiK3QgPj2gZQgpNf2LjlRlAsPU6X28sQiUyr+RDWsMW6UXOIx9g0/KbnQqu4lxx+AK/7q+Ynz088UiIwA/WaOSHLRNfTAqbl59zT0ne/VNbTX/BRu+IJLLk9pWcSHLmMGPYOhB/6l5I5FQPQsK8lFxuU/nuOg9HbtPJyhlx0B2lNUGXQRTRplx8H31m/C//nmrbH20jGOiGwIv06MKAo9sSggDqr0cIpB75aGPu8yRYNY12jQLxwsq8y2OEOPP5yRUzTHoBtY16CBoRMamvNJSS6zZOjdNOiceZvK2BJ40SrT8Yl4aHpQHIEFA0E5Y5oceZp9xRGKmZWcKOMuSPOeZgadtUvKkHVpxsyJDHpVY+gyXNLz7/DUfxXF4SVZIsfETB0LNIY+pNUFUlEujUCz52On2vDg+RJHrVwQ8wEQyAlIUTR6UgwhLQ7dEcE93TlZw6ol5u0Wk/u7Ru0rGxj6ocviSUArFxXT0Imhm8IWqd3EkPnGEfQaiNdp0lcBXEN3w7BFikMHIt9AyXESeyk4zNgH7YnCjoUAvnvxaapwXXSNgKHzMTJT9xQxoL5IC1vstOQy7ww6EDg/ap6Pc47eH3/9wiNxwyM7MVOvmZ2imuSiMzodFW1SGCg5ilWaGHrD8zE+XU+UE5g9Q5/V15sC3w0mUReF/Qyjhs4ewLLrwA+1IiHijraFQ2XsmWkow0cGRBX3YmGLZEhIHiOGzY0Q7fWowxWR5ELfo3tBbLviCggYnKKGOHTTxDxZ9bB8wUDc31KOM3SS3Oq+j9FyKR7yWk1upsDxyhMPwmTNw+vXBaGOaQyd2puUTwQeD5OU0gy6DlNSHq2UPvSSZ+BVLFcDABYzGS3PoLtuetgiEJe6THV0aM9WIBm2qIcWVxvBnqJ62GJQliDe3zrrr7ACZI4QOO2w/RJtdh1guhZsSzlccTFV8zBdizR06ovhiu4U5ZJL4rRtw7yTXIBo4KxbsxRH7D+qOq9sWO4nwhYzNvIFkgN7iEUZDKQw9D3TdTVR6A90q+iV5KJflxiTEPkaepnVstF1XeofYjJ6vD4PW4w09OA7emXHP/zSjfj2TU8Yl/F8k+5EITFaBcQyRZPFufi9M4WfTlSTGrpeb5x+D0W5mBzqadvBOY7ARacdEpX4LZsNuqp+qDXREQLb9lYBIHVDdH14cWNMv4HauXbFggTDXsIMOj0XZqeob9yCDmDyRtgNvoyXD+ZVHV11bDpDXzRUwthULR62KLhB1xi6MvbR79adqTpKjhMrnwwEK1daRVG/6qt5JfHZOPQkVKnS8H89BhiI9DliafTgLhrOZugk6QDBYBgqu2pvQJPk4oUGnYxPu5yizRj079z8BO57ak/mMdWGl9ombqhNGjqVPzVJLnENPQpb1I0tyQgkcajYY08z6I6jmCGlhuuSy51PjgOIDMg5R++vQs+C0rGIfU9n6KVw5QXEjaop9d9U/XCi2ggkFzYe9KxNFeWiyvVygx5tp1YESnKRukEP/tfHCjes6Rq69h2RfHZopWTKqORZslmZorVGenEunaHzGHGAM/SodnlCQ2cMfclwBePTwR4IiqEzx6upKiV9BiBWIjgttNR1hNpKkWLVp+sRQ6exo99bpaGXnY6GJM9PyYWcQeGNoC3PYuxaC1tcu2IUH33ZMXjhMfEsPB1CBA9fMBARS1U3PYB1L8ie1Bl6NyWX9//oTgDAY596Seoxx3/kl1i5aBDX/O1ZAOLyBZdS9LhrivcWIpkEA5jCFkkLjz8RUSW/uNYcbZYQfU9p6OEDoztFyTDTw/flNz9LXccVSDB0kk3IyHLjyhk6r0tOSOwXqeK74wydGKxyipOGbnCKknM5a39PjjTJhYykiaEDgfFJi3JJMHSDXDmtJp6kdePBBUU09LTVFP8/IbmwSBIy/volOENfHJYzHp+qK4PsMulFH5MlbZKIa+hmiz5ccdV4otDTuiejeut+RBo4YnHolqHHQQOAbjLpl3yXFV1DLzsO3vy8Q1Mz5zh4GNbqpcNKhzQx9GrDw0S1ofReGty1WWaKtnLTX/0f1yc2UyDUPB9PsBoc3DjwrbySGrqvMmBNmx3zWGVePlhnZDTgh8rxh58YcJ1p6KRdUr+TYd62p4o7nxxXLMhkQGJO0ZS6MyVX4DmH74eXn3BgrJ42Lf3ryvCLxH6R1UawoYUe5ULg28nRuQKDHrV1ukmGTsfp94aiYHQHJ/X9cBjGaYJu0M0aenIC1K8RfDfdoFMtF36KiPxExtMR8aJXQDxssZRiaHmcPa0adk7WIi2ca+iGaCDe7krJiSSXlFvDnZ08m1T3nel9RmUGBkpub7egE0KsFkJcJYS4RwhxtxDinYZjzhRCjAshNoT/PtyZ5gYg7Y1uMkkuXBKINPTgYTYt+dLA9br/+uNT8NGXHwvA/AASa6VBWmkTQy96z7nBue2JMTy6o9iWdZwJZUW5eH4Y8uU6qpAUd7TFswmjxKIEQy/HGXraZgll18H7X3w0rv3bs3DgYjLowTVufmwXXvb561Tbc52iWpQLf9iOXLEAl7zxJGNkFE0uAyU3IUFx/bRsGA8J34C2hykQrYhMlf1MoDbq0kqq5BK+b2ofIRG2yAylSv0PJ+u0+knnHB1UZ9SZdqL9WpTLfmFct54B6mka+gv+5XfYsGks2OsgnDT0yWtYk1wAYNdkNeEUNTF0XR7cb6QSc4qaEDPo7O8BVZ8oHGNa31cYQ5eyc/sdFKEIDQB/I6U8BsBpAN4uhDjGcNy1UsoTw38fb2srNdAAp//f9Nw1AIDjDloUHcOcomm7HKWBO0YGWNncipt+HlqCqtTvLmnouiRgipvWdwoCMgy6dl1yMI0OlNS5f/z25+HdLzwSQHwS5dup6fu0RtUu4w8/L+5F75dcB6uXDqv7ljY5mm4rd4rS0rimnKI0aZjvIxk1uncDJScR5TLJDLqJoSeiXML66yYNPc0pmtYufXKhvkxzcGZJOsmwRRNDD9qZZtD/449Oxi0fPFex2TSDrm9Bd0hYwI2HRdJ90wnFA2F9eJJH9MdqJCa5hAx9oqYIXMwpaigzzP9fuWhQSTVpksuCmEFn1TYpXDFsjx58wTX04Hd0xqDn6g9Syq0AtoZ/7xVC3AvgIAD3dKRFBRDVZwj+P+PI5Qn92GXGIKvkrglpHvXFwxUMhXGk+oNODL3kBsu22TL0ossyvR2mgWLcuIIZ/r1ZTtFQv+QFkhYPV5Q2m8bQdRtAA7nqxTV2ZdC19+l8QHpfpkkuOkPfW23grs3jqeVm+XcBLrk4ql2bx6bDdPqoJK1pYiCnOskjlEXMGRv1WVHJhcbWa8PytgSyOWkauqmaIEEfJbGAgvDvLKcoEKwwli9w1WbNWQydM95/es0z8Z2bN+G0Q6OwQEoI08cfjc1ovMTHAg87JYYeOEWj30J12nWSwROKAODAxUOMoRt/Soyh82eC7uU7z12L/UYreOkz46WQD102glVLhjBcjuoNdcKB2ZSGLoRYA+AkADcZPn6OEGKjEOJKIcSxKd+/WAixXgixfvv27aZDCoEGXNbuRcrB5csWGLp5CfnGUw/G//7l6SpEjYMnLJVdB5vHpvHQtuTuM0VRdEmmGzvTymDnRDXxHo/e4OfQt1yjiAFaXg6FuiwZR16Rj2voic0YQqNAZQa4Iwxgqf8Gw1JNZehmyUXX0B/ZPomXfu46bNod+BDyGXq4J6UrlGH+wI/uxHt+sFHVix8dKKWyuLLjxLY601P/p5s06EMVF/f9w/l4z4uOir1P109KMfkMXbfo8dR/klxIPoja/pzD9sNbTz9U+274vKT0h+uKWG2UJSMVvPPctTHCRL4P3WBTf9NqXCc6/B7wUEounVC79DpB1G6KWlm5cLCA5BI9+zHJRcWfl3DxGYcnbMfLTjgQ1/3d2aovO7WHfOFJQggxCuB/ALxLSqnHyN0G4BAp5YQQ4gIAlwNYq59DSnkpgEsBYN26dS2vObKcMATTErIo0gboUMXFEfuPGpegPGGpUnJw2e2bcdntm7Hxwy/C8ICbumxNQ9EVmW7ATXHTOyeyt5aLfd+QKeo6kQOIBjQZI56UxBm6PteS7k7SFB2n7yDPcwmiNHpzW40aupOMQyeQvyPtXnBHrRNGO1FJgq3j05ip+9E+nRn5DHwiiLa841EuzUkuQDwah0A/P00+yRpzWWGLWZLLdy4+zdCOfA2dG0hzGQAy6PH3qa/0DFwTFgyWAueqjPqGb26tt49eb9sblDU4cPGg6ss0kzGa6hQt5g+Jyhz0TkOHEKKMwJj/t5TyR/rnUso9UsqJ8O8rAJSFEMv049oFPQ7deAz3wjdpTHUPuQ7Tg8iLfvGH97x/uwZfu/6xpq4PZG/mUG14+O+bHofvy6RBLyi5pBlJ0xZ0JcdRA5nCxOg38sPLrpO6enrL8w7FZ157gtoVR9eFeXGu6HzZE7FRchHJOHT9t6WNB+4UdURYnS/s350TNeycqKpt3UZTytICUN+jDZb1sEVqX1GGngY6pz5OoxrgWRp6/LWp3/Ocovp30zX0eBXOVN+HTDL0vYqhm/0IHI4jVAarYM+wXkJXbzclYa1cNKTuTdNO0aL+EE1qbDeKRLkIAF8GcK+U8rMpx6wMj4MQ4tTwvDtNx7YD+g7rJjhOlCDULEMnW5RmTyg0kBcGMsXlAsDTe2fw9J54YaMi4OO6rg3y3z+8Ex+87C7ctWXcYNCzJRdiIGlM54OX34lPXnGveu35PkquUHohRRSZjFG5xBOL4p+5jsBrTlmVePhVaJpBQ8+S1Pg54u8hIbkQSLvWl976+eqeD8cJDEA9rJ+9e6qGyZqHHeHDzx9sPRuzUgqYPd9Wz2QUi8ahp+HCU1bhzc9dg3ede2T8d4Q/L8sQ6ysMrqFTP0wVjJcvEuVCHwlhdjg6QsSKXhHIZ0ErN7q3Lz/hQHz5TesS5yHHKA9sIBlPbx8ZbWXQF0YMPS2xiBvxeNmBYvcycmT3jqE/D8BFAM5mYYkXCCH+XAjx5+ExFwK4SwixEcAlAN4gO9ViRIY87cFUx7GQpWagZ5DpIObyGuak4rUb+IMkZWubXcR2EdKML+nQtYafkBXynKJ6GryOsak6vnjNI9G1w7RrGshkyExLzEBDz3Y8EqKohYihO0KLb85j6CbDEDI9ICm5kHadRgSi4lwylFwE6p4M08mDYyiWn/rj+vedjSvfFa+YWHGDTZaVc7XkGJNzZsvQB8suPvryYxP1iagPs85/wXEH4P++8jj12jVMpNRfeSulPMnFZZJLGvNVtcq18UtRRToBOOWQJTjnGSugQ2Uis0xRPYhCXTN8/VfnBOrwstFKLkPnviQ+xituQcmlwwy9SJTLdUjW/9GP+TyAz7erUXko5TACgusED2TzDD1bcnnhMSswU/dUBbqgPGy6VNBKCGOWQY9qbUuUCoQtjk3FDfpgExXfaMcZCtHKZOgxDb2YEeC1XNIcqannMDH0kOkBUZQLYUoZ9HyGPlh2UXKDzZJ5stbjOycBROFpplopC4fK2DtTV/fCtMEFUFx3bRY88zH1GEfgj047BB+6/C4AWup/2D8zdQ9CFHvO9HNwlGIGPb09emIRwJ2ice05rU0UTRRziqbYCzrmotMOwUWnHQIgeu7yJJfhSjxpqzBDd+K/o92Yl6n/ehx66nGOA6D5sEW9lrKO//rjdZBS4ls3PQEgSEjgqGgPaiv7i/JxrbNpeu2ZNHTD5MFXCNW6BwyVDTHNZkcsZfopp2iFGLrZoBddFZW0JXTDS96nvPtruj+kxQLJkM6pepihmaahs0nGEcFvqHsSOya4QZ/CcMXNnLAWDpYxPl2PZZwaJZdZMvQ00O9o5vxxhh5JLmXXSY3m0a+nl6fl56bzp53LlFgE8LDFcLx42QadCoXRZYKEIrO9MJ1DGfSU8yuGXnFjRr/ZnIJORbl0ZkR1GCS1FHWaNR3lkuMUBYKBSQN/qW7QdYaecfe2763ike3J7M74xs0aC29IdV7d8WeSd7hTlcojpG04rIMYutLQB+KF/Dn4Bs95DN2UWKQz57xJIc0pSpl4uoY+ncPQ+QLBCXXvhqcx9F1TueUjqFRwI5ehd+bxU5JLExp9PA6dwha9QueIfE7BOb7+J6fidesiObLE/VlZBt2ooddj7cvKEgaiEEse2JCWvWwaX35OlMtgOcgzGa64KuMVaCLKJeyrnka5zDUUNdR0w5pd2qr6D3nMJM2gaw9qFkM//Z9+i7M/c3Xife6C0Fk4TRCel0xwMjF0fnnaSkw/ZxqbIw2dMuSIoZuOrzTB0E2p/2kFjdJglFzYeXXJRRn0FH2fv+8IEe5RKbFzMnIqe77MNeiLhsrYwxh6yRFG8jFbp2ga6LRNMfRYtcVIcskjTcH14s/jC45cjledFBl0l0txKaej/IE0yaWsfC7m4m+EKPIn+i2RQY/3h0lWIe6VJrkIITAyUMJQpYTD2KYfRSdnVfK4V1EucxF004qGUzXLhPJSmQlkqHWDrn8vzQEJpCfNxCQXPdmHlZytN83QA6OmPzhpfdQI61mPagw9XUPPzxHgn/PiXHomX+4KzPCxMuhSJvp2qp7t5IsxdFZ1c8dEDUKw9O5chl7C+HRdTbaVkoMFg2W84MjlSp4ru+aSsu1ApKEXP78pb4NCLoteLy33I66hZzP0pFOUEtEosSh5fg69xMQzDlioNrROq+XCQRr8gow8gwUDJQyX3dhzX3Ty7HnY4lxEFOtcjKE3q1XmxaETdofOxqUj8RKl+s0yOSrzwI2wPiEQ82v4fuLc3KDf/OgurHnfz/DQtkjSIclFN/xpbDER5VJJj3Ipu1G9jLzVDd2baGd33xCF0HzYosM0Sl2OmqrmJBbFkl/Caou+xNPjM9hvZAArFw0CiIermbBoqIyJakNNnuQs/vqfnIrnHB6ku3eKnQdtb37cc/ZqSu7KQtl1sHi4HCvVy78WRLkEf6cNC9cJSjbo45ImRZJZj165AED6TkxkkEmr/6tz1uLzf3AygKTUZho/zz9iGd573lH4+MuPS3xGWDhUxoiWKdx0HLp1ikYokgkHRE6aZhl6nlOUQBmYS0fiYWN66VyTDJIHL0tD9yKZgrZ8M13re7dsAgDc/3RUgiCNoac9/J4vMVR2C8ahs2qLBf0bfLWhP2BFw+Xi5w3bbdLQ68WiXOjcJSfQ0B/ZMYHDlo9goOTg8Z1TsaJMJlBOwu7JUP81OBzzWP5sUPT5iH2Hx6Gzv4tMCq4jcNXfnBljtY4m4eSRJNehsMXsuj1//oLD8bwjluHE1YuNxw0ohp78rAhDdxyBt591hPHchI+87NgEgx8wZPKaYCUXA8oFl/XEOprV0NMKTOk4OywfeuZR+8fe1w14K3HoMlNyiWQKcpASOGOncrccZNCpTdSFaQ8/GdplowOouA4OWBQwIxPDrLgOK3jUpFPUS2rorSQW0XU9Pym5qLjqlPMKEU9GK4Vx6A9vn8Thy0exOqwSmJUlCkRlID72v3cH12NGkVYdRerytwrql9lq6EDxlcSSkYqxFDH9nUeSnJTiXKpNbvTMpxlzgGnoOeMvqy15eM7h+6nKrm94VrDv66Bl6K1DSS4FWWDTGnp4o/PCtU5fu8y4S1Aybnx2cehJp2gkU+iSC2fee0KDPhAy56mahxlKLFIlYt0gmkHrI9+XYcGkQENfPFzB1X97JlYsCGQHE3vOqoeuI7ljUQsMPcMp6vsyUTY4Lw4dCO59I9w1vuw42D5RRa3h4/DlI6pv8+ZnMugPhlIXn0Dod2fVgpktaNg2I+uYwhaB7IqNWYgz9GhcpD1TpVBySWOuRf0BNI5Nw08/dVqYZTP4x1cdj/e/+BmFy4twwtEJzEuGrjK/8rIRWzToeSFWedDDFIvEoeuJtfE4dPMEUfdkstoiuzbtMORLqWqw6Aw92tw43kfRtm2RoT1g0VBsiy6TAVbbeuUYdIcx9KfGZ3Dr47sTqwQeGmqEoVv5BhNTNS9Wl1ql/uck3ABRlAv17+H7j+LgkKHvnjLvCkVYqGVucmNEfcbreLcdVCummbDFFIdms0Xl1Pm0qpn0KKXdTscJCpo1fGnU2YuGHmcx9KyCZK3CdUTuPsX68YCNQ48hSiwqyNALZnFF5yfJpbUbnmDoBWZjnWlnMXRi1+bEoqTkUvekcuRVNQ2dlop6V9bYNdL6WTcYrTD0hifxqSvvxVMp9W6y7rFpExDaWHr3VA3Vho83P3cN3v/iowEUKzbFs5D5cYctG8EBYVaoqXolh56KzyUXOmcnGbqqIdMEkeETMJ9IWzXo3FguGCyxsMUUDV2ETlFPZm4ckoeIoSevk2DoHYoyyoKNQzegSD304HNi6E3GoSvJpYXGwaChF5Bc6p6Pp/fMKKbOGXta1EzDYND5sVxDjxh6PMpF3xKOUGUJSHo4IWENi8MF4pmihROLpMQtj+0GgFg0jjpnxj02GXQKJdu8expAYOD/MEzrnqo1clPZXXbvObNeMlJRpR5eedKBxu8SeOVN/TfQtTupofPt/FqF0uFbPAe//wsHy7mp/yU30NB3TFSx/8LkxtZFjS8l9Zme3awKk92ClVwMiKotFjMazYYt0vdanUR1Rl5Ecnl4+wSe/Ynf4D+vfhhAfKutNE2+4fmJiBpu4PluQhSdEkW5RDHSQJLRKMnFkPBDoBAyQpDiHa6eChr0LWPT2Dw2ra6lI4tlmuZJMuhPhptZDA+4LFHGz5Xp4pJLdOxIpYRFQ2U88H9fjD97/mGZ59hvZCBW44Xr0KUuGvQiRem++pZn4dUnH5R4P62gVVFwhr5oqJwb5UJO0c1j00ra4si7bwQaz6bJPlE3vg2SS7NQkotl6BGWDFcwOlAqbDRaDVtsdRZNy+zMwmM7AwN0zQPBTk7ZkkvE0BOp/ymTRyWUQyjyg1h+OkMPtXZDjRXCUZpBdwSTLHIeFmKPNz6SXWU5K3rAVNCT0rE3hQx9uBLfXKQoCXCFULHPtEsTEBiMPGd5peTg+vedbdzyjq7fybDFvPR4jrOO2h+ffd2JifdVRdNWJZcEQw/+zkosqjaCVarJoOfdNwK11/TsJhh6G5yizcLtMEOfl1Euf/jsQ3DOM1bkPliElg16i7NoUMIzkjuKMHTy7pPtl1lx6H7ksEzb4MK0i81Q2VWsnQbUUIpBL8LQjzlgYex1VmU7HYuHyhACuP2JMQDABy94hlFXHjRs90cwsRzahmxTWOZ2uFJSxaE8Pz/zkcttZNRMWw4WwfIFA3hy93Rs+U+3Mi/0cTbIS48vAsXQW6w3w5n46GBJ7Tua1iTXEdi8exq+hAoPNbUnD8TQTcl8+njpBUOnfrFx6AxDFVfpmVkg49Z8HHrwf6ud/q0/fTbOZbWai2jo1FYadFlRLg2VWOQbDHrweloL2XOcoMAWPViRhm6O6ecaeho7Ov2IZXjPi45UG33QLj9APqMquQ72G6mg2vCxaKiMPzvjMLzx1IMTxw1m3DvTPDlYdjFScfFkyNApmqSohED3nlL/gdZ1ZPo9fKd4krxMW8q1CzQkZlNagO7fQBucoq4joh2EMpyiVFnRzNCLtSOLoetvFVRx2opOx6HPS4NeFHRTW039b3USPWL/Ubzr3GhL1SJRLn7CoDOGzoz2j257Evc/FWR+Zkkuj2yfjL3vimDpS6GMHotDDz6PP2j/+LN7sWVs2linnOA4Au84ey3+9y9Px/854zCsXjqUG83AsTyMaV+5cDD1mCx2nLaHytLRitLQ6ftklPMd6aFPwYmMf7NRUoS3nXk4bv/7F2J/9vvIKd0q6y+C9jD04Dc3E5LHoXdzFIduPp4TikOWJslacacoMfQkidLHS95Y6ASsU3QWIOPWtOTShlmUTyLNMXTE/geiwen5Eu/+/kaVyt/wDdUWw4f5++s3xd53HYGFQyW1w7nO0HU2d/Nju/DLu58yJvzoOGz5KN5/wTOCcLeCdXYAqNofpqgGwmCGMU17KJaODGD3VDBxUbgmSQd5KwdeCrbVPAaCEAJLtMJt5JvIWnnMFnkFrJrB4qFK/kEGJCsbBv+ntYmPP1OdlmYTi4waun7N7isu1ik6G1CnNcuwoiL0rXc6N2hFNHQyxMQi+LUpkkVPaAk09KQcI6XEjzdswUkHL1bvCyGCsq4JycXM0AFgfLqBRpgpWhSuY54gTNg/NOgrMhh6luFLeyj4hiPDZV1yySknwLKEaZnfzp2FqHxxZyWXYCzNxqBP1YKJf9FQa242fTwV2YIOCCZP0+qlKJum+2taFevjpagPrp2InKKdOX9fG/RWNfTTj1gGADh8+WjL1+aGo0iUC2nWEUNnUS6hrLJ9bzX2nYbvJ8rn1n2J8ek6xqfrOGHVYvW+K4TaSQdgiUUpTlEAGJuuFWLoHM3s4xoZ9AyGnukUNb/Py5pSud+o5HIeQ4/ipZXk0saNKKieTNbKY7YgAjEbyYU2Z1483BpD1+2vwyZK4/Hh+4Nl1zjemnWKmop8dW6X4+KgfrFRLi1AaehNOnZeu24Vzjx6OfZfkM4c8xCXXPJvHjnLTE5RklV2TOgGPSm5eL6v4rp5tEAguZRVfZeGFrZoYtTjU/XMKBcTiu5YBESSS8sMPeWh4BOEviFHbsEvIdRxdGw7t4ojDb2zDJ3CFltvN638WtXQdaOcu8FF2NTBclTg7bTDluJNz1mDyzdsLuzgpUnY9MydvnYZfrJxS6HzdAqdllz2CYPerOQihJiVMQc0ycUPZJCsJR4txZth6J4hbLHuSWwZC9LoVzMt0nEEFg6WsLfaCDfj9SFElFlnIq67pmqQsjnD0BxDH4z9b8JQpblMUQA4aHE0kRETLh7lEjLFiqt093Yy9BcduwI3PLKzUJRWq4g2Up79uRYPtegUTUguwf9pqz0aY4PlYL/Wn7/r+Vi1ZBijAyW8+PgDCl+XJl9TktprT1mFc5+xAif/w68Kn6/dsHHos4DXouTSDujxuw1fZhoTYm7EOk1b0OkG3binqOdji4GhOyIoGiUlMFFrKOadFQ5GNUuKJnUA8cScPDxz1SKs2W8Yx69alHpMFkNPeyS4U40mUZJc8sLfyBANMabYzvHz5ueuwWvXre5KpuhsGDqhVcmFJlCauKg0cfom0cH/dL+PXrnQeFweKhlhi0KIxO5i3YZjGXrraDVssR3QZZ6GJ5G1ys6WXIIXCYZulFwktoxNo1JylEYNhBp6yLZISqGa3/r1CDtDiac5DZ3i2vP7fPXSYfzuvWdlHmOSJhwRtDdNcjFGSYRjYGFOUSzqj6Gyi5oX3JNWwxZNEEJ01JgDwEufeQCufXAHjti/dR8QoVWGXnIdfPGiU2KOeUeIdMlFaeiz6+sosahDXsdZwjL0WSByinbfoOvRFHXfxxCSxkmIwFkzrRl0fsOJhSc0dE9i2x6NtXsST45N46DFQ/FNjx2hdtLZM1MPN5RwVI0ME2PYEe5234qG3gyrz4Ip4mHJcAU7J2upTtEDFxsMetgufbtAHYqhV1zlqO7F+JkNXrduNV598qpZFeci6KWAm8F5x66MvXaFyEj9D+WtWfoWshKL5gLsnqKzAHm6e/FABtlx0es0xygZSzIeZFeNkotm0PfM1LF5bDqWmEP1xVcuHIxFGgQMPZi/90w3go0r3ChV39Q6mkhacoq2KSRMv3d/fe6R+OSrjweQvmw1sXqaYKjWSxqUhl52Vd2bXkh2s4EQoi3GHGhvRUIhijhFZ9fXWRr6XECnJZc+N+jkFO3NA8kfqrTkIjJ8aZJLpeQogz42Fd9S7t6tQYLRMw6IimTVfR97putYPFyO75HpIM7QQw2ddP20rEsAcFvY+WY2IXMculy2eukQDgollWZYDk2oeRqqKyLJhfq9kyGG+xKcDIZOhq7oVm5pyNLQ5wI6HYfe15JLq2GL7ULFdRTL1bVuAhnAtCiXgRI7h+YAJQnm6AMW4qr7gyqNDU9ixvMwXCnFHh4nTCwCgjrpntLQQ8klY4A1Y5yL1kMvCv3eUaEtIDuu+Ofven7sc0qoyjPotKvNUNnFG049GPc9tRfvOGtt5nf6Ec9fuwwPPp2sTz8b8L1FddC4mW1JBCJRrWzM3g2oOHTrFG0eSkPvEcPiOnKa5KIMOiuGBUSGfaDkqsnANClUSg4OYyFwni8xUW1gdCCeoOE6Qj0sM3UPkzUPQ+WoVjhfAn77T5+NR3dO4oOX3RVrYxF0mqGXHAfLRwMd/EXHrjB9BUAySoJKHuyXY9Bp0hyquBgdKOHTrz2h6Tb3A7751me3/ZxCpBfEUk7RWcpbc11yaUcWehb62qD3mqHHJJcUChxtvhAwdH3HogEmuegMHQAOWDQYM3p1z8dkzcPIQCkWOugIoUrlTtc8jE3VsHi4YoxyedahS41tLIKie4oWha5fu47AfqMD2PDhFyoJqQj2FmToNS3hyqJ9yGLoNF5mS75UYlGGwVw4WMKemcasrtMqOu0U7WuD/qnXPBOf+eX9PYtS4BOJqT4zwBl6XHKJUvMd9V2TQR+plGLRLJPVBjxfYmSgFDOqriOUkZque9g9VcPy0QH23ah9JcbmeRuLYPnoAF510kE4TZsUWoXO0OmBbTY+ejJMud8vJ8qlFkpfQ9agtx2OEKlx6FFCWnvCFrMkl+ved7Z63roNG4c+C1x4yipceMqqnl2/iOQSOUWplktcchksuzENfaDkqOgLIKgmyA0uGS6KdaaNHRwR/F0pOYFBn6zjyP0XKAPJCYMQQu1BCjT3kJVcB//6+hMLH58H3aDPNupiaU6UC8lanSxvu6/CEcKYkQywBLDS7O4vheEesCgZukpYOFhuanXXTtg49HmMIgW6iLDoDD3mFA2NTNULNoPgCUYjKVvx0RZnrhDwIBUzGCq7mKl5GJ+uY9FwWRlrnTEMt8jQ2w1dLpstgxvJMdQ0edrIlvbDEenhrO2SRx1H4D/+8GScuHrxrM7TKXR6gwtr0DuIobKL4Uqw7VsaQ6f7mq6hu5hpeJAy2MxidKAUN+iVknFvRNrizHEAePFwvD0zDUxUG1gyXGHFguLf5xpyuxycraBdDP0Hf/4cbHhiLLdkamTQLUNvN/jORTrIT9SOTScuaKL2S7fhdNgpamlIB/GxVxyLvzv/aADAz+7YYoz1JmY800iTXBxs3j2N/7ltM4A4c6bXeQwdiAzhUMXF1vGg1suS4bJi7nrb+HXalfXZCnT/R6sG/VlrluLPzjgs9zgV5WINetuRlfpPq9DZSi5zHZFTtDPntwa9gzj54CU49sAgfO7rNzyOGx5O7nCvO0F9CXz6F/fjs796AEDA0LftreI9P9gIIGnQRwZKRiNHBp0MNjGjwbKLp8aDaoyLhyvqAZMS+IszD8dRK4IkpaEYQ+/dMDlq5QKc+4wVyrB3erFgNfTOwXHSJZd6o7cRad0CjV+7p+g8RV51P1279n2Jz1/1kHqtSw7cWRm8dqO63exaVAdcr344VHawJTToS4YrEIi87n93/tH4xV+fAQCJCJleoew6+NKb1uEZBwQTY7vCIdNAEUWWobcfjhCpYymSXPqboYtwlWIll3kKXjLXuC2W9h438K6TrMlBe2RGryOGzh15dFwkuQTvD1WiqJnFw2XFGLLCqHopuRBIEmpXjZg8WIPefgyUnNQS0pSnoZed7ke4jrBO0fkKbpBp+zEO3cbz144w1DJZMhx7PcI09EOXj2LjpjEAUdii2lJN1cqIDNXi4TL2hgkWWeOrlwydQP3SraZkbX1n0Ro++erjU/MHaqHk0q6iYnMZH3nZsTjmwNbqveeh/3uvx+DJQNWGyaDHLSmfuYUQakchwrEHLcKP3vZcPH9tsO/pMGPoxx8UDZKEU5Q0dGaolmgaehrmwjKY+okkok7DMvT245RDlqbu00uSS79r6ADwR6cdgpMPXtKRc+f2nhBitRDiKiHEPUKIu4UQ7zQcI4QQlwghHhJC3CGEOLkjrZ2HOHrlApwX1hwxM/S4JeUZbsFGxfFbVHEdnHzwEvW9kUpJSSJr9otqutD39HK2ZKgGyw5GBkrKWZolucwlht6tjdr3BaY4l6AkF9vvs0KR3msA+Bsp5TEATgPwdiHEMdoxLwawNvx3MYD/bGsr5zFKroNPvfqZAGBMN9bzjbjkImVSU6RoD6qfPjIQSS6mnZkoQIUnFgFRCnwhDb2HUS6EbmnoC3J2NLLoDP7s+YdhpOLitMPaUzJiX0Xu6JVSbgWwNfx7rxDiXgAHAbiHHfYKAN+QwVN3oxBisRDigPC7+zwoBG66ngw+zTKkvpSJJSgZbQqvC5yiERt/83PX4NbHd6vjI8kl3pZlYQo8ldRNWwrTeXsN6qdOzy2/eNcZeGLXVGcvYpHASQcvwd0fP7/XzZj3aIqOCCHWADgJwE3aRwcB2MRePxm+FzPoQoiLETB4HHzwwU02df6CWPW0iaFnGHTPlwnWXdEYOk8sKjkCH335sbHjiZnznXgAYElYdXDtigX4xp+cilMzimnNBQ1dbfLc4bYcuHjIuIWdhcV8QGG+I4QYBfA/AN4lpdzTysWklJdKKddJKdctX768lVPMSwghMFh2UDUa9PTv+RKJMC9i7FVWFfCARYO46LRD8LwjliXOQQxdaBr6CNuo+Iwjl2emus+FsMUv/NEpeMdZR2SuJCws9nUUYuhCiDICY/7fUsofGQ7ZDGA1e70qfM8ixFDZTTD0IskFumasGDqrOVJyHfzDK48zft9NMPTg+3lFquhatYY/JzT01UuH8Z7zjup1Myws5jSKRLkIAF8GcK+U8rMph/0EwB+H0S6nARi3+nkcg2UXM3UPNz2yE3dtHgdQrCayXkedDPoLjgxWOHm7sjta2CKVGOAMPQ0DWqSMhYXF3EYRhv48ABcBuFMIsSF87wMADgYAKeUXAFwB4AIADwGYAvCWtrd0niNg6D5ef+mNAIDHPvWSTLmFoMeuk+Ty8Vcch788Z61KIEqDqyUWTVaD841U8m99peQA1e6FClpYWMwORaJcrgOysznC6Ja3t6tR/YiBkKFzFGHo+i5F5GCtlBwcVMB5FzlFg9dT9SAztEjxqdMO2w8/u3PrnHCKWlhY5KP34ug+gqGy0xaDboo1zwL5M0l6ed261Vg2WsErTzoo97ufed0J+Olfnt70dm8WFha9gTXoXcJg2cXYVD32Xprk8tfnHqn+1uWOpg26lil6+PJRrP/QCwux+8Gyi+MOWtTU9SwsLHoHa9C7hKGyi6f2zMTeI4ZOoYlH7D+KRz95AZ51aFTn4R1nr8VbTz9UvW621oWjbXBhYWHRv7AGvUsYrLixreMAQIZqykApKnUbFOSKbsuioTL+/qVRpYW8+uo6yKB3q+yshYVF72ANepfAy9YSqLKintTTzgJFkeTStlNaWFjMUViD3iUMVZJd7SuDHnzmKQmmfbdFT/23sLDoX1iD3iWYGDoZdApFpMzRShs3ylVRLtagW1j0PaxB7xJ43Le+qQRJLg0y6G7S+Dcb3ULQ9xS1sLDoX9jiz10Cz+gk47w13KyZDDql5ZcNDP36vzsb49O1pq9ro1wsLPYdWIbeJVxw/AHq77on8aPbnsQr//16AJGG7mdo6MsXDOCI/Rc0fV0y5JagW1j0P6xB7xJWLx3GBcevBBAw8esf2qk+I31dMfROOEWtRbew6HtYg95F/PsfnIy/PT8oAcuLbg1oDL2dG+W6VnKxsNhnYA16F8GThqqsRktCQ2/jhhJ6tUULC4v+hTXoXYa+QQWQNOjNZoNmwWaKWljsO7AGvcsghs4rL6o49AL10ZsFzQ1WQ7ew6H9Yg95llDMkl4bvG78zG0SSS9tPbWFhMcdgH/MuQ0kujKFTlEsH7LmNQ7ew2IdgDXqXYWbo8Vou7YTNFLWw2HdgDXqXQXVaYgxdc4q2E8TQhTXoFhZ9D2vQuwyq08IZ+kCLdVqKwLXVFi0s9hlYg95lUIw5N+hFNmxuFVZysbDYd2ANepdBTtF42GLnDLqKQ7d32sKi72GrLXYZ5BRtML2cUv85rn/f2Si3QSahOHSbWGRh0f+wBr3LMOnlptotBy0easv1bC0XC4t9B3Yh3mWYKikSe37JMw9IfDZbOI5N/bew2FdgGXqXYdp5yHUE7v7YeR2JdrEM3cJi34E16F2GmaEDIwOduRW2HrqFxb4DK7l0GSaG3smkH7Vjkb3TFhZ9D/uYdxkmB2gn1ZCTD16Cs45ajpGKXYxZWPQ77FPeZaRp6J3CqYcuxamHntqx81tYWMwdWIbeZbiOSDByG4FiYWHRDliD3gPo8oe15xYWFu2ANeg9wMpFg7HXlqFbWFi0A9ag9wC6Qbcx4hYWFu2ANeg9wP4LdIbeo4ZYWFj0FaxB7wGWjVZir+3mExYWFu2ANeg9wNKRuEG3GrqFhUU7YA16D6AbdJuWb2Fh0Q5Yg94DHLZ8NPba2nMLC4t2INegCyG+IoTYJoS4K+XzM4UQ40KIDeG/D7e/mf2FUw5Zgq//SZS96VivqIWFRRtQJPX/awA+D+AbGcdcK6V8aVtatI/gBUcuV39be25hYdEO5DJ0KeU1AHZ1oS37LKyGbmFh0Q60S0N/jhBioxDiSiHEsWkHCSEuFkKsF0Ks3759e5suPf9hwxYtLCzagXYY9NsAHCKlPAHA5wBcnnaglPJSKeU6KeW65cuXpx22z8FKLhYWFu3ArA26lHKPlHIi/PsKAGUhxLJZt2wfABlyG4duYWHRDszaoAshVopQMxBCnBqec+dsz7svgGq42CgXCwuLdiA3ykUI8R0AZwJYJoR4EsBHAJQBQEr5BQAXAvgLIUQDwDSAN0gpZcda3EcImLm0kouFhUVbkGvQpZRvzPn88wjCGi2ahK2yaGFh0U7YTNEeYsFgMJ/6dj1jYWHRBtg9RXuI7/zZafj53U9h0VC5102xsLDoA1iG3kMctnwUbzvziF43w8LCok9gDbqFhYVFn8AadAsLC4s+gTXoFhYWFn0Ca9AtLCws+gTWoFtYWFj0CaxBt7CwsOgTWINuYWFh0SewBt3CwsKiTyB6VUdLCLEdwOMtfn0ZgB1tbE6nYNvZPsyHNgK2ne3GfGhnt9t4iJTSuKFEzwz6bCCEWC+lXNfrduTBtrN9mA9tBGw724350M651EYruVhYWFj0CaxBt7CwsOgTzFeDfmmvG1AQtp3tw3xoI2Db2W7Mh3bOmTbOSw3dwsLCwiKJ+crQLSwsLCw0WINuYWFh0SeYdwZdCHG+EOJ+IcRDQoj39bo9HEKIx4QQdwohNggh1ofvLRVC/EoI8WD4/5Iut+krQohtQoi72HvGNokAl4R9e4cQ4uQet/OjQojNYX9uEEJcwD57f9jO+4UQ53WxnauFEFcJIe4RQtwthHhn+P6c6dOMNs6p/hRCDAohbhZCbAzb+bHw/UOFEDeF7fmeEKISvj8Qvn4o/HxNj9v5NSHEo6w/Twzf79lzBCnlvPkHwAXwMIDDAFQAbARwTK/bxdr3GIBl2nv/DOB94d/vA/BPXW7TGQBOBnBXXpsAXADgSgACwGkAbupxOz8K4D2GY48J7/0AgEPDMeF2qZ0HADg5/HsBgAfC9syZPs1o45zqz7BPRsO/ywBuCvvo+wDeEL7/BQB/Ef79NgBfCP9+A4Dvdemep7XzawAuNBzfs+dovjH0UwE8JKV8REpZA/BdAK/ocZvy8AoAXw///jqAV3bz4lLKawDsKtimVwD4hgxwI4DFQogDetjONLwCwHellFUp5aMAHkIwNjoOKeVWKeVt4d97AdwL4CDMoT7NaGMaetKfYZ9MhC/L4T8J4GwAPwzf1/uS+viHAM4RQogetjMNPXuO5ptBPwjAJvb6SWQP1G5DAvilEOJWIcTF4XsrpJRbw7+fArCiN02LIa1Nc7F/3xEuW7/C5Ko50c5wyX8SAsY2J/tUayMwx/pTCOEKITYA2AbgVwhWB2NSyoahLaqd4efjAPbrRTullNSf/xj2578KIQb0doboWn/ON4M+13G6lPJkAC8G8HYhxBn8Qxmsx+ZUnOhcbBPDfwI4HMCJALYC+ExPW8MghBgF8D8A3iWl3MM/myt9amjjnOtPKaUnpTwRwCoEq4Kje9siM/R2CiGOA/B+BO19FoClAP6udy0MMN8M+mYAq9nrVeF7cwJSys3h/9sAXIZggD5Ny63w/229a6FCWpvmVP9KKZ8OHyQfwH8hkgF62k4hRBmBofxvKeWPwrfnVJ+a2jhX+zNs2xiAqwA8B4FEUTK0RbUz/HwRgJ09auf5obQlpZRVAF/FHOjP+WbQbwGwNvSCVxA4Rn7S4zYBAIQQI0KIBfQ3gBcBuAtB+94UHvYmAD/uTQtjSGvTTwD8ceilPw3AOJMRug5Nd3wVgv4Egna+IYx6OBTAWgA3d6lNAsCXAdwrpfws+2jO9GlaG+dafwohlgshFod/DwF4IQK9/yoAF4aH6X1JfXwhgN+Gq6FetPM+NoELBDo/78/ePEfd8r626x8CD/IDCLS2D/a6PaxdhyGIFNgI4G5qGwKN7zcAHgTwawBLu9yu7yBYXtcRaHlvTWsTAq/8v4d9eyeAdT1u5zfDdtyB4CE5gB3/wbCd9wN4cRfbeToCOeUOABvCfxfMpT7NaOOc6k8AzwRwe9ieuwB8OHz/MAQTykMAfgBgIHx/MHz9UPj5YT1u52/D/rwLwLcQRcL07Dmyqf8WFhYWfYL5JrlYWFhYWKTAGnQLCwuLPoE16BYWFhZ9AmvQLSwsLPoE1qBbWFhY9AmsQbewsLDoE1iDbmFhYdEn+P8Onwfxt4FZowAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "snrlist = []\n", "for i in range(fid.shape[0]):\n", " snrlist.append(\n", " pyAMARES.kernel.fid.fidSNR(fid[i, :], indsignal=(0, 10), pts_noise=50)\n", " )\n", "snrlist = np.array(snrlist)\n", "plt.plot(snrlist)" ] }, { "cell_type": "markdown", "metadata": { "id": "5zH5UC_ldSx5" }, "source": [ "## Start AMARES fitting" ] }, { "cell_type": "markdown", "metadata": { "id": "XTA4Bju3cUVA" }, "source": [ "Initialize FID Data and Fitting Parameter Object using `pyAMARES.initialize_FID`\n", "\n", "1. **Initialize Fitting Parameters** \n", " Begin by setting up the initial fitting parameters.\n", "\n", "2. **Preview the Loaded Parameters** \n", " Display the parameters in a figure to visually verify and adjust as needed.\n", "\n", "3. **Preview the Loaded Prior Knowledge Table** \n", " Display the prior knowledge table, which has been converted from the MATLAB file `AMARES.priorKnowledge.PK_31P_3T_muscle_AS_TA_171122_JJM.m`, to ensure it faithfully reproduces the OXSA's prior knowledge dataset." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "id": "ZumBhBJRD4eW" }, "outputs": [], "source": [ "# Normalize and calculate the mean FID from all FIDs\n", "fid2 = fid / np.max(np.abs(fid))\n", "fidsum = np.mean(fid2, axis=0)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 961 }, "id": "oGyOw0bCEIEP", "outputId": "8c54c7f8-5e5b-461a-8428-1ee5fba90167" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Checking comment lines in the prior knowledge file\n" ] }, { "data": { "image/png": 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\n", 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PCrPMEPiaPibPDEBATPBATP2BATP3AATPAATP2GATPGATP2NAD
Index
Initial ValuesNaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
amplitude111111BATP/2BATP/21AATP1GATP1
chemicalshift06.74.834.383.02-16.54BATP-15HzBATP+15Hz-7.48AATP-16Hz-2.22GATP-15Hz-8.4
linewidth204020202020BATPBATP20AATP20GATP20
phase0PCrPCrPCrPCrPCrPCrPCrPCrPCrPCrPCrPCr
g0000000000000
BoundsNaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
amplitude(0,(0,(0,(0,(0,(0,(0,(0,(0,(0,(0,(0,(0,
chemicalshift(-0.5,0.2)(6.00, 7.10)(4.19,5.03)(3.69, 4.39)(2.87, 3.27)(-17,-15)(-17,-15)(-17,-15)(-8,-6)(-8,-6)(-3,-2)(-3,-2)(-8.45, -8.35)
linewidth(3,23)(10,60)(5,30)(5,30)(5,50)(0,(0,(0,(0,(0,(0,(0,(5,30)
phase(-180, 180)(-180, 180)(-180, 180)(-180, 180)(-180, 180)(-180, 180)(-180, 180)(-180, 180)(-180, 180)(-180, 180)(-180, 180)(-180, 180)(-180, 180)
g(0,1)(0,1)(0,1)(0,1)(0,1)(0,1)(0,1)(0,1)(0,1)(0,1)(0,1)(0,1)(0,1)
NaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
\n", "
" ], "text/plain": [ " PCr PME Pia Pib \\\n", "Index \n", "Initial Values NaN NaN NaN NaN \n", "amplitude 1 1 1 1 \n", "chemicalshift 0 6.7 4.83 4.38 \n", "linewidth 20 40 20 20 \n", "phase 0 PCr PCr PCr \n", "g 0 0 0 0 \n", "Bounds NaN NaN NaN NaN \n", "amplitude (0, (0, (0, (0, \n", "chemicalshift (-0.5,0.2) (6.00, 7.10) (4.19,5.03) (3.69, 4.39) \n", "linewidth (3,23) (10,60) (5,30) (5,30) \n", "phase (-180, 180) (-180, 180) (-180, 180) (-180, 180) \n", "g (0,1) (0,1) (0,1) (0,1) \n", "NaN NaN NaN NaN NaN \n", "\n", " PDE BATP BATP2 BATP3 \\\n", "Index \n", "Initial Values NaN NaN NaN NaN \n", "amplitude 1 1 BATP/2 BATP/2 \n", "chemicalshift 3.02 -16.54 BATP-15Hz BATP+15Hz \n", "linewidth 20 20 BATP BATP \n", "phase PCr PCr PCr PCr \n", "g 0 0 0 0 \n", "Bounds NaN NaN NaN NaN \n", "amplitude (0, (0, (0, (0, \n", "chemicalshift (2.87, 3.27) (-17,-15) (-17,-15) (-17,-15) \n", "linewidth (5,50) (0, (0, (0, \n", "phase (-180, 180) (-180, 180) (-180, 180) (-180, 180) \n", "g (0,1) (0,1) (0,1) (0,1) \n", "NaN NaN NaN NaN NaN \n", "\n", " AATP AATP2 GATP GATP2 \\\n", "Index \n", "Initial Values NaN NaN NaN NaN \n", "amplitude 1 AATP 1 GATP \n", "chemicalshift -7.48 AATP-16Hz -2.22 GATP-15Hz \n", "linewidth 20 AATP 20 GATP \n", "phase PCr PCr PCr PCr \n", "g 0 0 0 0 \n", "Bounds NaN NaN NaN NaN \n", "amplitude (0, (0, (0, (0, \n", "chemicalshift (-8,-6) (-8,-6) (-3,-2) (-3,-2) \n", "linewidth (0, (0, (0, (0, \n", "phase (-180, 180) (-180, 180) (-180, 180) (-180, 180) \n", "g (0,1) (0,1) (0,1) (0,1) \n", "NaN NaN NaN NaN NaN \n", "\n", " NAD \n", "Index \n", "Initial Values NaN \n", "amplitude 1 \n", "chemicalshift -8.4 \n", "linewidth 20 \n", "phase PCr \n", "g 0 \n", "Bounds NaN \n", "amplitude (0, \n", "chemicalshift (-8.45, -8.35) \n", "linewidth (5,30) \n", "phase (-180, 180) \n", "g (0,1) \n", "NaN NaN " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pkfile = \"JJM_3T_v3.csv\"\n", "FIDobj = pyAMARES.initialize_FID(\n", " fidsum,\n", " priorknowledgefile=pkfile,\n", " MHz=bofreq,\n", " sw=sw,\n", " deadtime=beginTime,\n", " normalize_fid=False,\n", " flip_axis=False,\n", " preview=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "35SgyhX6dmbr" }, "source": [ "### Initialize Fitting Parameters from the Mean Spectrum\n", "\n", "Fitting Strategies\n", "There are two primary fitting methods available:\n", "\n", "1. **leastsq: Levenberg-Marquardt Algorithm**\n", " - **Speed**: Faster\n", " - **Description**: Levenberg-Marquardt algorithm, can be used to obtain the initial fitting parameters for `least_squares`.\n", "\n", "2. **least_squares: Trust Region Reflective Method**\n", " - **Speed**: Slower\n", " - **Description**: Trust Region Reflective, the method used in OXSA. Though it is slower, it often yields better fitting results.\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "DrF36XZlEQ0L", "outputId": "0a384eab-fda9-4929-e74d-233c951f5c47" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A copy of the input fid_parameters will be returned because inplace=False\n", "Autogenerated tol is 7.949e-07\n", "Fitting with method=leastsq took 4.872845 seconds\n", "Estimated CRLBs are calculated using the default noise variance estimation used by OXSA.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/jxu125/git/pyamares/pyAMARES/util/crlb.py:54: RuntimeWarning: Warning: The matrix may be ill-conditioned. Condition number is high: 1.441e+14\n", " warnings.warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "a_sd is all None, use crlb instead!\n", "freq_sd is all None, use crlb instead!\n", "lw_sd is all None, use crlb instead!\n", "phase_sd is all None, use crlb instead!\n", "g_std is all None, use crlb instead!\n", "Lmfit Fitting Results:\n", "----------------\n", "Number of function evaluations (nfev): 1000\n", "Reduced chi-squared (redchi): 0.00022850571236512654\n", "Fit success status: Failure\n", "Fit message: Tolerance seems to be too small. Could not estimate error-bars.\n", "Norm of residual = 0.462\n", "Norm of the data = 11.827\n", "resNormSq / dataNormSq = 0.039\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "out1 = pyAMARES.fitAMARES(\n", " fid_parameters=FIDobj,\n", " fitting_parameters=FIDobj.initialParams,\n", " method=\"leastsq\",\n", " ifplot=True,\n", " inplace=False,\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "G7ei2bC_dznX" }, "source": [ "Modify the plotting parameters to visualize the AMARES fitting results." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "gsKYRa8YEJV9", "outputId": "6e4f1399-3810-473d-c943-8d9d6682e7ee" }, "outputs": [ { "data": { "text/plain": [ "Namespace(deadtime=0.000455, ifphase=True, lb=5.0, sw=5000.0, xlim=(15, -20))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plotParameters = (\n", " FIDobj.plotParameters\n", ") # Get the template of plotParameters from an FID object\n", "plotParameters.xlim = (15, -20) # Set the ppm range from 15 to -20 ppm\n", "plotParameters.ifphase = True # Enable phasing of the spectrum for better visualization. Note: As AMARES utilizes a time-domain fitting strategy,\n", "# phasing the FID is not required for the fitting process but may be useful for visualization.\n", "plotParameters.lb = 5.0 # linebroadening of 5 Hz\n", "plotParameters" ] }, { "cell_type": "markdown", "metadata": { "id": "-rImArPieVFj" }, "source": [ "Visualization of the AMARES Fitting Result (Optional)\n", "- This section demonstrates how to plot the fitting results using the `pyAMARES.plotAMARES` function.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 861 }, "id": "SMEPSdUYebr9", "outputId": "f22912af-9334-4b1c-8c6e-69b060f826d6" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyAMARES.plotAMARES(\n", " fid_parameters=out1, # `out1` is the output from `fitAMARES` containing the fitted parameters.\n", " fitted_params=out1.fittedParams, # # Optional: If omitted, `out1.fittedParams` is used by default.\n", " plotParameters=plotParameters,\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "BduoitoHf7BS" }, "source": [ "The fitted parameters of the mean spectrum can be accessed using `out1.fittedParams`." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "i5cVTjVJf_oU", "outputId": "782308b7-4260-4de8-b958-9b333f9b8e33" }, "outputs": [ { "data": { "text/html": [ "
name value initial value min max vary expression
ak_PCr 0.42801070 1.0 0.00000000 inf True
freq_PCr 0.99136334 0.0 -25.8603225 10.3441290 True
dk_PCr 33.1927771 62.83185307179586 0.00000000 72.2566310 True
phi_PCr -0.30070732 0.0 -3.14159265 3.14159265 True
g_PCr 0.00000000 0.0 0.00000000 1.00000000 False
ak_PME 0.08179148 1.0 0.00000000 inf True
freq_PME 352.457521 346.5283215 310.323870 367.216579 True
dk_PME 188.495559 125.66370614359172 0.00000000 188.495559 True
phi_PME -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_PME 0.00000000 0.0 0.00000000 1.00000000 False
ak_Pia 0.07026761 1.0 0.00000000 inf True
freq_Pia 246.430174 249.81071534999998 216.709503 260.154844 True
dk_Pia 53.8685244 62.83185307179586 0.00000000 94.2477796 True
phi_Pia -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_Pia 0.00000000 0.0 0.00000000 1.00000000 False
ak_Pib 1.6481e-06 1.0 0.00000000 inf True
freq_Pib 204.144163 226.53642509999997 190.849180 227.053632 True
dk_Pib 5.94144907 62.83185307179586 0.00000000 94.2477796 True
phi_Pib -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_Pib 0.00000000 0.0 0.00000000 1.00000000 False
ak_PDE 0.05883560 1.0 0.00000000 inf True
freq_PDE 155.759171 156.1963479 148.438251 169.126509 True
dk_PDE 108.069092 62.83185307179586 0.00000000 157.079633 True
phi_PDE -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_PDE 0.00000000 0.0 0.00000000 1.00000000 False
ak_BATP 0.05341679 1.0 0.00000000 inf True
freq_BATP -824.492774 -855.4594682999999 -879.250965 -775.809675 True
dk_BATP 42.8820085 62.83185307179586 0.00000000 inf True
phi_BATP -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_BATP 0.00000000 0.0 0.00000000 1.00000000 False
ak_BATP2 0.02670840 0.5 0.00000000 inf False ak_BATP/2
freq_BATP2 -839.492774 -870.4594682999999 -879.250965 -775.809675 False freq_BATP-15
dk_BATP2 42.8820085 62.83185307179586 0.00000000 inf False dk_BATP
phi_BATP2 -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_BATP2 0.00000000 0.0 0.00000000 1.00000000 False
ak_BATP3 0.02670840 0.5 0.00000000 inf False ak_BATP/2
freq_BATP3 -809.492774 -840.4594682999999 -879.250965 -775.809675 False freq_BATP+15
dk_BATP3 42.8820085 62.83185307179586 0.00000000 inf False dk_BATP
phi_BATP3 -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_BATP3 0.00000000 0.0 0.00000000 1.00000000 False
ak_AATP 0.06773969 1.0 0.00000000 inf True
freq_AATP -377.396563 -386.8704246 -413.765160 -310.323870 True
dk_AATP 41.7646910 62.83185307179586 0.00000000 inf True
phi_AATP -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_AATP 0.00000000 0.0 0.00000000 1.00000000 False
ak_AATP2 0.06773969 1.0 0.00000000 inf False ak_AATP
freq_AATP2 -393.396563 -402.8704246 -413.765160 -310.323870 False freq_AATP-16
dk_AATP2 41.7646910 62.83185307179586 0.00000000 inf False dk_AATP
phi_AATP2 -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_AATP2 0.00000000 0.0 0.00000000 1.00000000 False
ak_GATP 0.05759985 1.0 0.00000000 inf True
freq_GATP -117.113245 -114.81983190000001 -155.161935 -103.441290 True
dk_GATP 48.9614629 62.83185307179586 0.00000000 inf True
phi_GATP -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_GATP 0.00000000 0.0 0.00000000 1.00000000 False
ak_GATP2 0.05759985 1.0 0.00000000 inf False ak_GATP
freq_GATP2 -132.113245 -129.8198319 -155.161935 -103.441290 False freq_GATP-15
dk_GATP2 48.9614629 62.83185307179586 0.00000000 inf False dk_GATP
phi_GATP2 -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_GATP2 0.00000000 0.0 0.00000000 1.00000000 False
ak_NAD 0.02618298 1.0 0.00000000 inf True
freq_NAD -434.453418 -434.453418 -437.039450 -431.867386 True
dk_NAD 92.0581523 62.83185307179586 0.00000000 94.2477796 True
phi_NAD -0.30070732 0.0 -3.14159265 3.14159265 False phi_PCr
g_NAD 0.00000000 0.0 0.00000000 1.00000000 False
" ], "text/plain": [ "Parameters([('ak_PCr', ), ('freq_PCr', ), ('dk_PCr', ), ('phi_PCr', ), ('g_PCr', ), ('ak_PME', ), ('freq_PME', ), ('dk_PME', ), ('phi_PME', ), ('g_PME', ), ('ak_Pia', ), ('freq_Pia', ), ('dk_Pia', ), ('phi_Pia', ), ('g_Pia', ), ('ak_Pib', ), ('freq_Pib', ), ('dk_Pib', ), ('phi_Pib', ), ('g_Pib', ), ('ak_PDE', ), ('freq_PDE', ), ('dk_PDE', ), ('phi_PDE', ), ('g_PDE', ), ('ak_BATP', ), ('freq_BATP', ), ('dk_BATP', ), ('phi_BATP', ), ('g_BATP', ), ('ak_BATP2', ), ('freq_BATP2', ), ('dk_BATP2', ), ('phi_BATP2', ), ('g_BATP2', ), ('ak_BATP3', ), ('freq_BATP3', ), ('dk_BATP3', ), ('phi_BATP3', ), ('g_BATP3', ), ('ak_AATP', ), ('freq_AATP', ), ('dk_AATP', ), ('phi_AATP', ), ('g_AATP', ), ('ak_AATP2', ), ('freq_AATP2', ), ('dk_AATP2', ), ('phi_AATP2', ), ('g_AATP2', ), ('ak_GATP', ), ('freq_GATP', ), ('dk_GATP', ), ('phi_GATP', ), ('g_GATP', ), ('ak_GATP2', ), ('freq_GATP2', ), ('dk_GATP2', ), ('phi_GATP2', ), ('g_GATP2', ), ('ak_NAD', ), ('freq_NAD', ), ('dk_NAD', ), ('phi_NAD', ), ('g_NAD', )])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "out1.fittedParams" ] }, { "cell_type": "markdown", "metadata": { "id": "9kJnqg65h2zU" }, "source": [ "#### Accessing Detailed Fitting Results in the FID object, such as `out1`\n", "\n", "1. **Detailed Peak Parameters including Multiplets**\n", " - **Variable**: `out1.result_multiplet`\n", " - **Description**: Contains the fitted parameters for each peak, including sub-peaks within multiplets.\n", "\n", "2. **Peak Parameters**\n", " - **Variable**: `out1.result_sum`\n", " - **Description**: Provides the summation of all multiplets, offering a consolidated view of the spectrum's fitting results.\n", "\n", "3. **Enhanced Visualization of Data**\n", " - **Variable**: `out1.styled_df`\n", " - **Description**: This data frame is styled to highlight statistical reliability, color-coding entries where the Cramer-Rao Lower Bounds (CRLB) are less than 20%. This visualization aids in identifying the most statistically reliable parameters.\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 363 }, "id": "nWAyTazZh1iC", "outputId": "e1cf9dfa-a60e-40b2-fc7d-ff4e93f6cc94" }, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
 amplitudesdCRLB(%)chem shift(ppm)sd(ppm)CRLB(cs%) LW(Hz)sd(Hz)CRLB(LW%)phase(deg)sd(deg)CRLB(phase%)gg_sdg (%)SNR
name                
PCr0.4280.0030.6220.0190.0014.67610.5660.0910.864-17.229-0.3682.1360.000nannan49.769
PME0.0820.0079.1066.8150.0440.64460.0007.11111.851-17.229-0.3682.1360.000nannan9.511
Pia0.0700.0045.1464.7650.0080.16417.1471.1986.984-17.229-0.3682.1360.000nannan8.171
Pib0.0000.00181244.6313.94718.202461.1561.8913084.591163100.438-17.229-0.3682.1360.000nannan0.000
PDE0.0590.0059.0093.0120.0260.87734.3994.17212.127-17.229-0.3682.1360.000nannan6.841
BATP0.1070.0033.269-15.941-0.0070.04613.6500.9767.151-17.229-0.3682.1360.000nannan12.423
AATP0.1350.0042.775-7.297-0.0050.06313.2940.6374.795-17.229-0.3682.1360.000nannan15.754
GATP0.1150.0043.233-2.264-0.0070.29915.5850.9696.219-17.229-0.3682.1360.000nannan13.395
NAD0.0260.00520.577-8.400-0.0480.57029.3037.85026.789-17.229-0.3682.1360.000nannan3.045
\n" ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "out1.styled_df" ] }, { "cell_type": "markdown", "metadata": { "id": "v4xCAh-8e81r" }, "source": [ "DC correction" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "siQHxcCVETIK", "outputId": "14b204fd-c40e-40f0-bfe5-2c251c6b5ea5" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DC correction by the mean of the last 256 points\n" ] } ], "source": [ "quarter_length = round(FIDobj.timeaxis.shape[0] * 0.25) # 1/4, 256 points\n", "fid3 = np.zeros(fid2.shape, dtype=fid2.dtype)\n", "dc_offset_arr = np.mean(fid2[:, -quarter_length - 1 :], axis=1)\n", "fid3 = fid2 - dc_offset_arr[:, np.newaxis]\n", "print(\"DC correction by the mean of the last %i points\" % quarter_length)" ] }, { "cell_type": "markdown", "metadata": { "id": "3Nc9s_5Dfvkm" }, "source": [ "Futher Optimization of Initial Parameters for batch fitting (Optional)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 964 }, "id": "IJlCGzH1K099", "outputId": "33b91772-d28a-4b09-bcf2-1190c07322a0" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A copy of the input fid_parameters will be returned because inplace=False\n", "Autogenerated tol is 9.188e-07\n", "Fitting with method=least_squares took 3.171307 seconds\n", "Estimated CRLBs are calculated using the default noise variance estimation used by OXSA.\n", "Lmfit Fitting Results:\n", "----------------\n", "Number of function evaluations (nfev): 15\n", "Reduced chi-squared (redchi): 0.01191279256392595\n", "Fit success status: Success\n", "Fit message: `ftol` termination condition is satisfied.\n", "Norm of residual = 24.064\n", "Norm of the data = 38.047\n", "resNormSq / dataNormSq = 0.632\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "FIDobj.fid = fid3[\n", " 1, :\n", "] # Update the FID in the FIDobj to the first spectrum of DC-corrected FIDs.\n", "out2 = pyAMARES.fitAMARES(\n", " fid_parameters=FIDobj,\n", " fitting_parameters=out1.fittedParams, # You can use either FIDobj.initialParameters, which are directly loaded from the prior knowledge,\n", " # or the fitted parameters from a previous round of AMARES fitting, such as out1.fittedParams.\n", " method=\"least_squares\",\n", " ifplot=True,\n", " inplace=False,\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "DLsTEbhoiM9P" }, "source": [ "Fitted Results from the First FID:\n", "- The results obtained from fitting a single FID are less reliable than those derived from the mean spectrum.\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 363 }, "id": "DQDUUtYLiRIk", "outputId": "326030ee-7908-47af-a0c6-9ff70d1cf150" }, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
 amplitudesdCRLB(%)chem shift(ppm)sd(ppm)CRLB(cs%) LW(Hz)sd(Hz)CRLB(LW%)phase(deg)sd(deg)CRLB(phase%)gg_sdg (%)SNR
name                
PCr0.4520.0173.7170.0260.00518.3509.3740.4995.178-19.3552.26911.4130.0000.000nan2.683
PME0.0310.057180.4206.6970.83712.16760.000141.056228.880-19.3552.26911.4130.0000.000nan0.181
Pia0.0940.03636.8395.0300.0791.53026.74612.93647.089-19.3552.26911.4130.0000.000nan0.560
Pib0.0060.009149.1093.7620.0270.7061.1674.995416.694-19.3552.26911.4130.0000.000nan0.033
PDE0.1070.04440.0112.8700.1495.03844.31924.07552.886-19.3552.26911.4130.0000.000nan0.633
BATP0.1300.02216.157-15.9330.0290.17911.0943.65932.110-19.3552.26911.4130.0000.000nan0.771
AATP0.1840.04222.216-7.2620.0660.88728.95011.45038.504-19.3552.26911.4130.0000.000nan1.090
GATP0.1100.02421.246-2.2540.0421.83514.2525.92040.442-19.3552.26911.4130.0000.000nan0.655
NAD0.0110.023205.125-8.3500.1972.29111.83831.881262.197-19.3552.26911.4130.0000.000nan0.066
\n" ], "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "out2.styled_df" ] }, { "cell_type": "markdown", "metadata": { "id": "2T1GsPJuibzu" }, "source": [ "### Batch Fitting: Loop to get all amplitude results\n", "- `run_parallel_fitting_with_progress` is designed to batch fit multiple FIDs simultaneously, utilizing a specified number of CPUs to enhance speed performance.\n", "\n", "- It typically takes 7~10 min to fit 366 FIDs using the 2 CPUs available of Google Colab." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "2lbQDscbihh6", "outputId": "20b331a5-8525-4ca6-ce2a-b9f65c798579" }, "outputs": [ { "data": { "text/plain": [ "(366, 1024)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fid3.shape" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 66, "referenced_widgets": [ "f9e4a53d868f47fcae6054d5d3325bf6", "830d8f5a22fa4ca5a34d6e84f41ae67c", "74a7517f01ee408ea39a16010fd48168", "10d2a39001494706ac19770c33870c35", "dc82d93e98ed4c658c88071c1c5a191b", "efa3788e3f9249eb8fa119a483bbf36c", "4804e78471fa498abbf008d62b0b664f", "2ae56afd56f047a19051e67744ebaf87", "d6057073ccde4421adac403a0d5af898", "b2309bec23a24c43b7b7a151eaf8fe47", "cf875057de9044c7a8697eaf7e6bd9be" ] }, "id": "ihuIZMpT9Sk9", "outputId": "52f7f1a8-1989-4ae8-e5e1-54f77a28156d" }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "126e6776b7a64bedb7e015e9c2e0ba42", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Processing Datasets: 0%| | 0/366 [00:00" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(time_axis, fid_amp_smooth[:, 0], linewidth=3, label=\"PCR\")\n", "plt.plot(\n", " time_axis, fid_amp_smooth[:, 2] + fid_amp_smooth[:, 3], linewidth=3, label=\"Pi\"\n", ")\n", "plt.title(\"PCR and Pi kinetics\")\n", "plt.xlabel(\"Time (s)\")\n", "plt.legend(loc=3)\n", "\n", "# Adding vertical lines for exercise start and recovery start\n", "plt.axvline(x=80, linestyle=\":\", color=\"k\", linewidth=2, label=\"Exercise start\")\n", "plt.axvline(\n", " x=time_axis[recovery_start_time],\n", " linestyle=\"--\",\n", " color=\"k\",\n", " linewidth=2,\n", " label=\"Recovery start\",\n", ")\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 472 }, "id": "hN7QCoLKNZ5k", "outputId": "8243aaae-ce6b-485e-c33a-af8754947322" }, "outputs": [ { "data": { "image/png": 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+nZTyUXXf9ajBDlE8eJ4kCiUlJXLy5Mnxpj8Er9eLy2Xq2IdxYeswF7YOc2Hr0GfDhg3NUsoxKbtgFOKJQutEmRl7Nor72zohxKtSmSin5Xkp5S1h544G7kGJlCtRZq++KqU8YvR7kydPZv369QnKUOjt7WXEiBFJnWsmbB3mwtZhLmwd+gghamIflRri6apaAuyVUu6XUnpQpv1fHOf1zwXellK2qsbibZT5HENCTc2w3bchxdZhLmwd5sLWkX7iaSeVERp3pw4l2F04lwkhTkWZJf1tKeUBg3PLwk8UQtyIMmGK8vJyKisrmTBhAs3NzXg8HioqKqipqaGwsBCXy0VraytlZWU0Njbi9/spLy+ntraWvr4+GhoaaGtrY9KkSdTV1eFwOBg7diwHDx5k9OjReL1eOjo6gtd0u92UlJRQX19PSUkJfX19dHV1Bffn5ORQVFREQ0MDpaWldHV10dPTE9yfm5tLfn4+TU1NjBs3jra2Nvr6+oL78/PzycnJobm5OW5NbW1t9PT0UFtbS1FREYAlNR05coTOzs6I52Q1TUeOHKG+vj5q3rOCpo6ODiorK+N+n8yqyePxJF1GmEmTEILKysqkygg9TcNJTK8qoSzCdJ6UMhCu/FqUFa9u0RxTjBKAq18IcRPKrNgzhBDfQQmt8CP1uP8FeqWUv4j8JYVFixbJZLuqOjo6KCwMj5tnPWwd5sLWYS5sHfoIITZIKRel7IJRiKer6iChAdvKCQueJaVskUrgMIBHUeJDxXVuKqmvr499kAWwdZgLW4e5sHWkn3gMxzpgmhBiijqt/yqUeO9BhLIcZoCLOLo851vAOUKIUUKIUSiL2rw1+GTrU1JSMlSXHlZsHebC1mEubB3pJ+YYh5TSK4S4BaXAd6IEetsuhLgfWC+lfBUlDPNFKEHmWlGCaiGlbBVCPIBifECJXNo6BDoA6Ovri32QBbB1RMfnl6ysbGHjwU4WlBWwfEYxTodudPeUYD8Pc2HrSD9xORFLZQnJN8K2/VDz+S6UcMt65z6OstDIkNPV1TUcPzPk2DqM8fkl5z6yibU1HXR7fOS5nSytKOStG+cPmfGwn4e5sHWkn4yaOV5RUZHuJKQEW4cxKytbWFvTQZfHhwS6PD7W1nSwsrIl5rnJYj8Pc2HrSD8ZZTis7BetxdZhzMaDnXR7fCHbuj0+Nh1MesXZmNjPw1zYOtKP9efta8jJyUl3ElKCrcOYBWUF5LmddGmMR57byfyygihnDQ77eZgLK+rQG5ezoo4AGWU40jERZiiwdRizfEYxSysKI8Y4ls8oTvlvBbCfh7mwmg6jcbnnvzg53UlLmozqqmpoaEh3ElKCrcMYp0Pw1o3zefba2dx/3hSevXb2kA6Mg/08zIbVdBiNy/1tnd1VZQpKS0vTnYSUYOuIjtMhuHBWCRfOGh4/ePt5mAur6TAalzvQ705TigZPRrU4rOzepsXWYS5sHebCajoC43Ja8txOphUOXSt5qMkow9HT05PuJKQEW4e5sHWYi3Tq8Pklr+9o5oG3q3h9RzM+f+wVVAPjcvluJwLIV8c4llir4RSC6ZaOHUyQQztOv7mwdSTHUM2M7+3txZ2dM6yz7oeCdOWrwUw+DTzTTQc7ma/ed09/X6rX4xi2IIcZNcZRU1PDjBkz0p2MQWPrMBfDqWMoZ8bvr6rmW+/3Deus+6EgXflKO8gNoZNPY4236Y3LWfn9yKiuqtzc3HQnISXYOszFcOoYypnxnzYx7LPuh4J05SujQe7P6joS7r4Ca78fGdXiyM/PT3cSUoKtw1wMp45oM+MH60W2p10O2bWHk3TlK73Jp7lZDl7ccpifv3cg4Vacld+PjGpxNDU1pTsJKcHWYS6GU4eRB04qZsZPzPEM2bWHk3TlK71B7mNLRrCvpTepVpyV34+ManGMGzcu3UlICbYOcxFLRyoHs4dyZvwXF1fwQlX1sM66HwxG9zVV+SrR5xaYfPr6jmZWbG5CAn4p2XKoO+S4eFtxVn4/MspwtLW1WS4cgR62DnMRTUeqB7MDhVO4B04qBq87O9qH7NqpJtp9TUW+Gsxz++2HdcHzsl0OHAJ8mmGNeFtxVn4/MspwWHlhFC22DnMRTcdgPG2MiGdmfDKtnL6+vpBrD/eCWIkQ7b4e6xh8vkr2uYWf1+f14xSQ43LQ7/Un1Iqz8vuRUYbDyvHttaRbR6oKlHTrSBXRdAzlYLYRydaWtTrSsSBWIkS7r2eeMvh8lexz0zvPJ+HquWM4rjQ3pBUX6z2y8vuRUYPjVo5vryWdOgIFytVPbeeeN6u4+qntnPvIprhdDLX8OzyPoRzMNiJZl12tjnQsiJUI0e5rrHwVz+zuZJ6bzy8Z8EmynKGGNd/t5MoFY7n77ClcOKskaDRivUdWfj8yynBY2b1NSzp1pKJACby4j27rT8iv3axEex5G4SSGcsBZr9bb5fHxq3/VRr3fWh1G13h+Y2PC8xGGgmj3NdrziLfik+hzC1z3l6tr8WgGNPLcDt3z4nmPrFxeZVRXlZUXRtGSTh2D7XoJ7wL504Y2U3WBJEO05zGUg9lG6M0nAHhvbxuf1nYa3m+tDr1rOAWs2HI4pK8+Xc8t2n2N9jziHbtI9LkFrts94A9uczsFd3x+EvecMyXivHjeIyuXVxnV4mhubk53ElJCsjqSCcAWzmC7XszeBZIM2uehd48DA87argotqXguWrS1ZS2x7rdWR+AaeVlKEeByKOf3ef2meW5Oh2D5jGLmlxWw8WAnKytb8Pll1Pcj3qWFteMP8Rh7vesO+CRup9A9L573yMrlVUa1OCZMmJDuJKSEZHSkarBzsPMI0jFYnCzxOgEEnofH62fJw+vY2dTDgE+q3RQjo97joRiE1taWf/WvWt7b24bWFBndb22+cjoEb9wwL6hH2/0S6zrDhdG9+/tVUw3PiWdp4WSeSaJLFuu9R0smFeDzSx54u4oFZQWcPGF8orfENGSU4WhubqawsDDdyRg0yehIlVvoYLte0rEmeDIkUng0NzeTl1/AkofXsVkz2avL42dNTXvUezwU7rpw1GUX4NPazrjud3i+WrW7lX0tfbpGQ3udQIvp75uVmc5XzCuNaFkNhWuv0b174bMD3HDGSN1z4qn4JPNMEq1Qhb9Hc8bn85sP6rjmmR3B8+eOyeL920+yZBduRhkOj8eT7iSkhGR0pLKmP5gV9tKxJngyJFJ4eDweVla2sLMpch2IHo8/6j2O9lyWzyhOuLDVFtBzx+fj80tK87PwdsiY8wjC85Ve2gIEBovPmT6ac/60kX/tawtOcnv2s0aOH5/HpXNKWTixgDOPHcVJv1mfUEssHozu3daGXsNzolV8AvfuV/+qTehdCZy3bOpIPjd5JC6H4ITy+GaaB96j13c082ltaH7b1Ojn9R3NOB3ClHNpopFRhsPKftFaktFhlpq+9sVdV32ExZNHmfJlSMTQVlRU8PcPG3Rr5llOYXiPte6boZ44TuaMz4+rxRNuKH7zQV2wAAp4hfqkMgFtSnEOv7xomu44S0CHFr08k+NycPncMVy5YGzQsH1c3REyM9oPbDnUzdZDVeRmOUBAt+fooHGXx8+HVW28vqOZi48fo6slnkLSKE+fOrPM8BzQr/hoW5jhTgWB6+o9R6OW6Q/OmhzXXI1oxqrHK/nmikpae7wpNbjDQUYZDivHt9eSjA4z1fQDL+6xjmZmzDDXuEaARAxtTU0NC8pKyMtyhHjVAMwszdW9x4ECZ011e4jRyHYJSvOzWFvTzkdV7fR5levptXjCC61sl4MBnz9YiGsL8z6vn6bOAZwO/cHagA5tvjLKM09cPSt4jY0HO4NpDEdCxP0I0O+V3PHKnoh5DYmMKxilb0Z2O5DYOGB4CzOAgKjvSrSW6fIZxVE1xTJWAmjoHAh+7/L4eX9/G/etqtL11DITGWU4MmF8A5LTkQ630FiY7XmE196XTCrk01rjwcvA/SssLGT5uGJOnDySNdXtdA/4cTsFM0tz+fT2xbr3WM99UwB+Cftb+3jwn7WEt1/CWzx64S2iEatrMvx5xJNnFpQVkONyxPxtPQ609XP9szu4asFYfH6Z8LiCUfoaGw7pHq8di/FLydTiEWQ5HCycWMCGA/rdcmdMK+L2UycZvitG810+q+sAiKopmrHKVkOUhDPgkzz0zxo+rm43dcsjLsMhhDgP+DXgBB6VUj5ocNxlwApgsZRyvRBiMrAT2KUeskZK+c1Bp9oAlysz7GCyOgYzNjEUmOl56NV4l0wq4Okvz2LroS7dwctA7dHlciVsmPUKHIlSMAQ+h5PtcoS0eKKNQegRq2tS73nEyjPLZxTzucmFIWMc8TLglzzzWSMvbz1MQXbkvJN4xuD00qfVEagMbKjr4MXNTWxv7IlIZ77bwTHFI8hzO+jSdKnlu53cfuqkqL+/oKyAXJ2W5otbDiOliNrdafT8zphWxLiCbJ75rFH3Nz0+mRIHiqEk5psthHACvwfOBuqAdUKIV6WUO8KOKwC+BawNu8Q+KeX81CQ3Oq2trZSWWngFeBVbR+rR63L4tLYTp0Nw99lTdAcvjwbVU3REK2TD+7rnjs/XnaQXjRFZDnx+GZwbYjRJL8vpCAbXA6UVo9fdEp6mKbQEn0e84w1Oh2DVTQt4fUczf9vUyMH2fiqbemjv89Hv9ZOb5cDtctDj8dJvILV7wK/bpZXsGFwgX8XqCgrQ5fGzt7lXXTujL6Gu3OUzijm2ZESINx3A3pZefFJG7e40GkO69ZSJOB2CFzc30mt0z0zqwh4gnirhEmCvlHI/gBDiOeBiYEfYcQ8ADwHfTWkKE6CsLPqgmVXQ6jBzBNNYmOl5xBoMj7b/8ydG12HUmtF2hYWPT+jR1uvlmmd2BFs6RnMBbls2MdhKAth6qCuiBaSXpoVlubw7Q0lAIuMNAYP52w/r2FDXRZfHFzIYHxhEv+nvlTR2DUScr0eOSz9URzwE8pVRV5AePQN+Lp07hhPKCxPqynU6BJfMKWXLoaqQVmKPx4/LQdRxxeUzilkyqSCktTbg8/ObD+pY+Y15LJlUwPq67pQa1eEiHsNRBhzQfK8DlmoPEEKcAEyUUv5DCBFuOKYIITYCHcDdUsoPwn9ACHEjcCNAeXk5lZWVTJgwgebmZjweDxUVFdTU1FBYWIjL5aK1tZWysjIaGxvx+/2Ul5dTW1tLb28v48ePp62tjUmTJlFXV4fD4WDs2LEcPHiQ0aNH4/V66ejoCF7T7XZTUlJCfX09JSUl9PX10dXVFdyfk5NDUVERDQ0NlJaW0tXVRU9PT3B/bm4u+fn5NDU1MW7cONra2ujr6wvuz8/PJycnh+bm5rg1HT58mHnz5lFVXcM3325n46FeegYkuW4Hc8dk8X8XljJh/Lhh09TSeoRVe9o55MtjvLOb82cWk5c7IqamvXv3MmfOnIjnFFiDYDif03iXH7dL0O89+vqPcAlmlmRTWVnJxGwiuiQC+7du3crkyZMN896TH+xmTXUb3QPKtbs8PtZUt/P/nVXMTYun8tHuBhZWFPHIuhblWXqlErJBKK2FAIEZ2x9WtfHHVZu4YMYonv/iZP62roYD/W6mFQqWlMLUKfkc52ohN9dJfn4+x7n6GTduFAdqa4J574n3d/FJdRs9mjR9eqCTR97eTGlpKZ9UtdHj1aS3pp3H/rmN0yZl6z6n7b0FIef0ef00dvTTduQI+/e2cM4xFVwxPZvffzag2w0XztkV2Tx2+SQO1h0IPqf9VdV82qQscTsxx8MXF1fQ2dEe8T61tLSQnZ3Nmn3E3ZWX63YwRnawaHQui0aPoK2tmf6+3Jh5b39VNc2tPbgcggF/aN6ZPSaHy8r7WdPopqrLQZm7n8sXTgzRdOkUwUdVAp9qOXwS1tS08di7W/jd6Xl8UJfF7g7Jizu7ONQ5gNevXPv4EienVeRSWVkZs9xLx5oeQsroj1kIcTlwnpTyBvX7tcBSKeUt6ncH8E/gK1LKaiHEauA76hhHNpAvpWwRQiwEXgZmSyk7jH5v0aJFcv369UmJ2b17N9OnT0/qXDMR0PH6jmaufmp7SI0q3+3k2WtnD1sTdjAzn83yPHx+GTEXwSng88eMYtVNkR4w4Tr37d0TVccDb1dxz5tVEQXmlxaU8pcvzQ5ePzBwK4BL5ozB6RD85oMD/HNvW8Q1p47OYfddyU8O00uTAO4/bwoSDPfdffaUhK8XOOf1Hc1c9Zdthp5WAfTycCL5LNr7oUee28GJSbi5aj3jtJpiXU/bS7CrqYe/ftaoe9++WDHAMcdOC/kNrdOF25VYRCghxAYp5aKETkqSeFocB4GJmu/l6rYABcDxwGohBMA44FUhxEVSyvVAP4CUcoMQYh8wHUjOMsSgvLx8KC477AR0xOpeGY5urMHMfDbL81hZ2cKntZ0h3URZTge3LSsP3q9og996OrT3fsAnyc0SwRZHgGc3NrGtoZs1ty3iPx7fElIoHur0BAuej6s7IryW6js8gxoc1etfz3UfHXxPdM5PPO7LRuMBWvSiyfr8kvtWVfHB/rag63K0fBZ4HuFdeblZDo4pzuH48QWAZErxCNxOByeUF3DO9NEJvSt6aYLogQ0DlYM7XtlDfYeHfq8/6gqB5eW5Ed53Hp9kX0sfq3a3mnZ8A+IzHOuAaUKIKSgG4yrgS4GdUsp2IKgwrMUxBmiVUvqEEFOBacD+FKY/hNraWsvP4/D5JU9+sJtmx8jgpCCtJ4g2DIS2hpab5eDYkhFcos7mjXcxmVgMZuZzss8j3G0WYMuhrqSNo56Gfq+frYe6QiaoGQ1+h+vQu/cIQbivlESZKDf7Z2s43D0QfI5dHh8fVbVz/bM7uGJeKeML3VS1hq4G1+f181ldR9KFh974yPElzmCBneicn3jmCRmNBwTQK3QD9zK8gAbjAeLA84jX0y1aawYIemX5/OAUgvlliofdh1WRadIGNtSbnPlxdXtIJSDaCoF7du9i48Fsy8R20xLTcEgpvUKIW4C3UNxxH5dSbhdC3A+sl1K+GuX0U4H7hRADKBNOvymlbE1FwvWw6vq9AY42jdvoGWgNeqzkuZXBOG2mC28JdA/42Xyomy2HqoLHvXHDPM5/dPOgAuzp1TSznII+r59z/rQpZB5E+LXjfR7xzI7Weg4l2uUw2Fn14Tr07n1WlPTUtvWHjGWAUqA881kjr2xrZmpxDtlOQX9YIfXC5ibmTShIymjqFaoLigaC5yc658eokAaliypQeZhfZuxNphdNNnAv9WblGz0j7fMIRNAFpYIARGjRazV/sL+Ne97azyfVHaytCe2KynEJBnxS15HBqOIWzfnBaIXAoqIiFvhdpoj4kChxOdpLKd8A3gjb9kODY0/TfH4BeGEQ6ctIjFoBR5utSu4LZOY7TpuEywFetUa0srLFcEKTNiT2j96pHnSAvUBNU9vP6/FJ/r/VtSEvV7LB+xKZHZ3sb6RiVn14v3VEiG2/DD6jiHOlUtvWKxy7PD72NfcyodBN1ZH+kH3bGnu46qntUdfHiNaiDG9BNTQ0BM8zal0lcr1o3mThNW/Qj1L73MZGXSPjdorgMwpP04IiGXKNWGMjei1OjzrRTkoiCvs+r157KTRNiUzODKwQqJdnzRTxIRHMM0MrBbS1tTFu3Lh0JyMq0TK6XgbvGVDc/t7f3x5yzjHFORHdWFq6PT4+qmobdDM4UNO8b1UVD/2zJlj46b1c4dcOfx56hVKqZ0dH05DsrPqW1iNc8/KhEOMW0W+t9q9va+ghXEFulmBaSS77Wvp0C8meAT+Ti0dQfaQ/pIvHL0koJEmsFlms9yPR6xnNjXn6y7O4bVl5SF9/eIEY+K2Pqtojrut2Cr5/RgX3nKMMuocPHk8udPDgxU62NXQz4JOsrWkP6QYMv09GC18lMhlem6ZAUMJ4PLqiuR0HnofZIj7EQ0YZjkmTJqU7CTGJNths1KXi9UeGNghMaNp1uFe3sHU5BD6pzEbW7s92Oahs6uH1Hc1xZ1CnQ5DlFMFZz0aE1yi1z8OoUFo2pSils6OjaUh2Vn1lfyFra5pCjJtev/UbN8zj9R3N3PziLpq7B/D5lQHpEytG8sYN81i1u5XnNzayYsvhiGfi13lW4QSWhwV0jW6sFlms9yPR6xlGrz3UFVzUyqhADPxWuN5sp2BGaW6wZe3zy4jW7u4jPi5/chtSEhFAMpAGbeUiUKvXG0eJhxyXg5OnjAwZm4k1OTPH5WDCSHfUoJOB52G2iA/xkFGGo66uzhTun9GINth815mTWVpRyCdVbfR6ZbBAcorI0AaBCU27D/fqhi7w+iX/2teGUygZ2ieV/wM+P39V+9YTGS+I9qIYhfPWPg+9QumjqnZOrCgc1OxoPeJxCDA6Rm/7+5WHIu6/Ub/1pXNLufj4MboF5oWzSlg+o5hDnUdnOweeyb/2tcW1HKd2eVg9oxutRRbr/Ug0NH+ssaNoBaJRjX1Urot9Lb3ct0oZqyvNz9J17w2MGcUzNqJtNT/4bjXhl4t0awjl8rljQgI/gvFCTYHJmfG0HKxQXhmRUYbD4TD/SrjRXrZABn/sn9tokvnBzPf6juaI2mie28kJ5YWcUF7IK9uaI5rhgRchEHJ7WUUhazQ1vFi1yfAC9JzpoxN+UbTPY+PBzog09nn9/HVDQ3CGdWBG8viCLL60cBxup4N5E4xnR+sRT3eLUd/8zSeX893X9kZ0r1x+jDvimUXrt45WYGq7zcJbH/H0nATGsD6qasfrl7r5wqhFFuv9SMUqd/H2zxuF42jr9YXkUW+HxOUQeGMst+tygM8fWbnQ5uOF5QXMHJvHljB3YbdLcNmcMfgkvLT1cIgxCjzn8DwXrftT66lnhM8vWV3bz/M1VZaLCAFxTAAcbgYzAbCzs5OCAnN7I8RTsGl1xJq8BqHhI/Sa7gI4/diiiCVGjSZ9GaUx0N1i1BcbbmxOKXNTNFKJyPr6jmaueHIbvgEPuf4+cmUfOdJDgcPHz86biPAN8Mj7++ns7sXh9VDg9HHcaBff/lwpwjuAHOhH+rxIvxd8PqTPC34f0q9+9imfD7R28+HeFqTPixM/Tukn2+Fn0YRcxuQ6kX4f+1t6OdDag5QSATjwIwAnUt0mcaD8dwmoGJlFS4+XXo8XKSVOIcnNclBRlA3SD0i1CixBSqT0g1Q+hyJBQq/Xj8cn8fr89IQZU0Hkswu0hIyPkUjAgdKlOHqESzlR/cl+r58+rw8k5GQ5yHY5dNIGUkra+7x4/RIpwYHE5XRQmKNZOztCkmTA78frVwr4aN5l4XT1e/H6QSIRCIQAv066HAj8ccxHdwhBbpaDLOdRA6n8hnJ/BCAMrjXC5SQnyxGRJpcD8rNTX78OTVfo70z980Yc7pyEr2m2CYCW4eDBg6afxxHPQK1WRzyT17TX8/gkv/pXbcTcj5OnFMW9xKhRX/eq3a2cOyUXV9sh9mzezb/2DbBwlBfZ3Y63o5W/f7yb3rZWRnt7OEI/Hzv7mTnKgeztYkZfN+u7u8iS3sib8qjy7yfh2xuheWcCNxcYCVygt2MPBNbvG6/+xU0T5IZv88CA8Ty3qGSpf6CkNybxDwGBD3xhC0i6gPzAF0/0y0XkBj/4Y4Sfcqp/6uFxE3FPU4EvNA1x/4YH/B6d4/3g18myg2W4fmeoyCjDMXr06HQnIS5iDYZpdcQzeU17PZ9f8nF1e0Rr4e6zJutu13Yr+D19DDQdoPGjNVzUsoNSbxulvlbG+o4w1neEih+1U+XpYiowVT1HO7pypo6Wga6jn7MALw66HTn0imx6RTZeRxYTSwrp9DvZ0+bDI1z0CzceXAwIF3Mrilk0pQThcit/Tic4nOp/F8LpAodD/e9iS2Mvv/+kgR4f+HDgFU6yXC6+c8YUpMPBT949QLdXqedJIfAj1LZF4A/8woHSfhDkZDm589SxnD9vEgiBEOpkPyFA/SyC3zXbEBDWNfTunlZufXEP3QNHn6dDCFxOBx6vnxEuB1kupcXYO+AnN8vJgvIC/vKlWVzzzHbW1GhX4jta0RDAd06fxH+dXM75f97EnuZeBvyKJ9CATwYLUqmek+108OiVMzj7OL0updAWg9BpQPgkXPHkNjbUddLj8THC7WLhxAJWXH88zsB9SAKfX3LZk1vZcKCTHo+fXLeylsYL188B4K1drby8tYmali4auv0caAu1kAK466xJfOc0ZaXDn6+u4afv1OoqdLsEHq8M+Y3h6ir6+eoaHnynNqL1H0i7yMoelnQMhowyHF6vhUx2FLQ6Eu13jtaiCWzfvruaguZ9FB/5iA0/+z/G9x1ioKEab0s9SMkyYJlB2jzCRaujgDZHAW2OfLqy8lk0YxL13hG8VuOjzZFHpyOXbpFDjyOHM2aVMWHcaGZOHMMZs8u48MlK1tZ2RnTTraxs4Va9uFxXzaY0Dm+T4LoMsoNdUw6zt6U3ZNLkqRfP5yfvVvPPrEJkVui5gZ6b8HHWgDfN4sWl5JQPPtLvuk0D7JOjkGFv3TUnjA0Osp8zfbRud+D1Z7tZ+dR2Xa+rfLeTacdO5nNP7mdzSzaI7KNNAGfE4Upa2rJYPtL4vkZzMFi5o5l/HoIuXy444YgPOuolq+r8g/IMcgIv37zMcL3wh9dX8a99vfik2sZxhj7IfLeT2VPLcOYXAXD8VC997lbdAfRrFoyNcGxIBfE4Zhw/1YtvRFtEXtem3exklOHo6OhgwoTElpQ0I1odyQxAhrRAOlro3bCK3l3r6a/axszqHUxvPxxyfG/gg8NJ1tiJuMZO5tVDbnb259PoHEWTazSNziJa3cU0yzykCK3t3r9wCvPLCvhbWMHvACprHPTv6yPPXc/SDV288Y35ugXjYAZaw9dlyHYKRuY4WVReyLjCLI4tyeVHb1er6yeEzn1xOwXfPX0Sn1R3hAzQa10p9+zeZfi7g11DW2+QXa81uuVQl+6KcYFJaQA7m3oi9hvx4pbD/OAs/eVJY4Xo0Ju0l6owGUatcb21zwMI9D3uls8oZmZpbkTsrDy3w9CxYTDEOw/mnOmjOaY4hx2N3XhVl20rTPrTklGGo6KiIt1J0CXRAkarI95QD4Freo800r35X/TuXEvvzk8ZqN8Xcf0uxwh2ZU1kV9ZE9mWV0ThiPP99xTLOOWkOfoeLlZUtvPCvWt7TidrqdoUOvgdaP+EFf7bLgcfnj/DiCgRv03tpbz2lnHEFSvTYy+eVRvi/x5pxHyjM+n2Spm4vTftD05+XJXC7nBEhXO47V+l4Mxp30stXqVxDO1kvJO2ktJ+8W53QHIW9Lb2GHnWxQnR8XB05aS+R+TXJxCKLtva50fKvTofg09sXs+Thdexs6lGCUarzaozWiR9MXLd45sH4/JLzH93MXk134rHFI3jjhnmW8qrKKMNRU1NjusHxeN1DtRl2kr+JWkdpSAY2CvXQ0z/A5/z72O/ayUVsx1O9PeT3hTuHnGMXMGLGYnKOnccjBwr47kd9+MXR/ncBnNo3irMcrqgrquWpgRT1VlELN3CVajhpLUaRfcPjU+W4HMHCKWA8PF5/SAGgRFkdaTjjXg8llIufO06bhNspIgyEkUELz1eJRnMNMJgZ7EZGJzApbUFZAXk6S5zOHZfLrHH5PLepKWR7j8dv2EJINERHIosyhbcO441FZrT2eY7LEXX5V7fLwYY7lgwqEGK8BXo882CsGg03nIwyHG63O91JiMCoFvL6jmacDsGGug5e2nKYfS29dHuUpThdQuKjiW6PfoyilTub6dy1kVvaPmR5z1rG+Y4A4EExFLnHn0LO8Z9jY/Z01spy5k0aHXxZpuc3k7t+u+6YidGKatquACOX3HDjN2d8Pi9tbQouJKT9nXAjkB0WVK7P62d/ax9X/mUbM0pzufj4MTy1/lBILKcuj581Ne2GM+6N6FHDVhitO6GHNl8lE81VS7KzhGMZneUzijlx8kjddR1W7W7l9R0tIfcnWgSBREN06E2QMyI8j4XHIvtgfxv3raqKCFuut/a5U8DnJuu3HiCyQnbXmZMN0ziY5QMCxDMemegkS7OSUYajpMR8N14vo3R5fNzxyh6augYi+4oHjvrABI4NvEx3nzSSrtXPM/6VJ3iqoy54Tp2zhHdzFzJ52bl8/ZovIF3ZmtpTHXnuQ1GXIw3UFn/ybrVuzf2MaUXceoqyJMtD79VEvIRGE+oWleXzWX1PyO+cM300Sx5eF9LvbBRUrt8n2Xyo23B9h0CtOTDj/qOqyMB64egF2jPqngisr/DXdR1kfbKdK+Yp63UnGs01VcQ7sdBo/GhNTTvdHn/MCAKB49/f1xay6p0eOS7FA21lZUtcradYrcNAy+bj6vaQNDkdR9c+f3b9QbKyskK6M/UmrCYSGToVBXo8XZFzx+cnNGnTrGSU4aivr6ewsDDdyQhBL6PkuBzUd3hiFnIBpvfso+C5P7Ln8TVk+QcoAJqdRfwjdyn/yDuJze5jyM928eyJs3G4c3h9R3PU2pO2gAmsW/2Td6t11//Idzu59ZSJ/PbDOsOX0Ki2ds3sEUwcXRIyZrGysiWhQdxoZKndTYFCM7CIzsH2/ogQ5RC5iFD4Cm/aWrrTISImXj63sZFJo3J0Cz5t5NR0YWRYAvfnkbc383FzVshsdb2atdMheOOGecx48JOIiL0OAW5NOJhEQ9jE0zr0+KRubT8wK/s4V0vU9VECQUD3tfRGDX4YK12BybQ+v4w7plu0VqHPL/nNBwcY8B19v5wClkyy1sA4ZJjhMFuLwyijjC90Ux22cI8ei/oq+a/2lzm5bxsAfgTd007hmEtv4Ob1o1lT2023x0d+WM3GqJWjDZAXiJsUviCR3vofEBlkUfsS6tbWBvw8vqUbr7+bwIp3gWP1ausCItZ1jsWEgiwGfH4eeFsJ2xAoNFdWtvBZXQdev1LQ+aVy7RPKQx0LntvYyIf724JGxqO2cJY8vI77zpsa4cXjk1DX1h9REQiPnJpujFpRly4o46O3myIqLHo161W7W2nqipz5d/zYXO5ffgwrNjfFNEB6aGvlgTEOv4yckB6tth/+nutVXALdoPFe02j5gF/9qzai9RONaK3CeCbzWoWMMhx9fbEL4+FEL6MIIVg8sYDDXZ6IkOgCyM1yMLd/LzcffpbFfcq06S6Rw/MFZ/Bc/pl844wTuXvxFN5cKA1rNka1Om2AvEDNKHxBIiBi8FivC0v7Ehr9XqDXLSICsM4g7pxxudxz7tRgrKh4WmMH2j1c/sQ2/BDSWog2hhA+OKvHzqYe/r45soBVNEkmFmXT1DWgO0idLoLzWMLGzLRjU5f9dS8bDvVHnKvXVbLxYCc9OsEFL5unBHHUcw+Od4wn0DpcsbkJn1Rq9C9va9b11tMj/D03GswPXwMlnvlP4csHdHn8Sa0Bo0e8K1FagYwyHF1dXbEPSiGx3Pf0MorXL3lp62Hys13kZkl6BiRZDigfmc1/zhScvv1xCvcqa2Z1OHJ5ouA8nio4lw5nHvlxRh4Nr9UF0C7y9PqOZv6+uSmi8NQbPI416KdXWwtHGwHYaBDX7XJw8fFjeH1HM99+eXfE+hQR91+zU9ta2HDHkrgHQfUY8ClzrI28eH558TScDmGa9ROiGUPtol4bD/VFjCcZeUQZzTk5obzQcH8iffXars/cLAd5bidZPn/ESpd6dHV1Raz5HrHEchQPQCOMlg9I1eD1YO+Zmcgow5HsPI5k/Lfjcd+LVhPvH/BRWpBNfUc/fq+X8+peZPmWF3H7+/E53Rw56Rp+7DyP9+t9ut1RsdIeaFH8Sp2PoX0VAoPz9R1hQY3Qz8jhg3656qJFGw4cXapTr7amd93wfuDAGEtg0D2Q/sPd3jjC2kWys6knau0wHtfdXLeDy+eVUt/Rr+vFExiQDXcrTleU01jGMLCoV6+OE4KRR1Ssgd7BzEmJ1dLVjrvp3dPyiZPi6mKNFZRTj6Es3CPeIwtO/AuQUYYjmXkcyfpvv76jOcSLR6+PN9oCMj1eSX1HP1N6a/hxy5+Z46kC4K28E/lZ0ZW0NY5jyaRcnv6ycdjyWGkPpCM8uKHR4LxR7VNb2H9W18GLaldIYM2EwG8aLfYUPnCsXZsiFYs7aRnwyai1Q72CQYlAS3DhpaWTlFr1qccUcdLkkWyuaqRo5MiISYmp8P1PBbGMYSDI5Zrqdno0xsMoZHjAGC6bOpLPTR4ZMj6k9XKKZ06KtgvNpy59vKc5cundQEv3rjMnx7ynT324O64u1mRcn4dyKdfwe1bsb+fGs6018S9ARhmOnJzEQxEn47/t80vueGVPRMHb5fHx/MbGYKY16jcFcDvgy0f+wX8feZ4sfNQ7i7mn+Gu8P2KecoBHWYbT6TCecxBP2vVehNL8LKp0Buej+eNrDdHP3zug661iNLv5u6dPYvHEwogapFH6Pzd5pO5aDZfOKWF7QzeVh3voN3DhzXU7otYOYy3AM0edjHjNMzuC++eWZvGyzn1Jhe9/PMRq1Ri1bLXzb+4+azLv7mxgS9NA1ALRyBj+4KzIORCxCuZwr7UAOS4RufSuwVwivXu6p10aGp5E5ufoMZhJmvFeP3DPqqurLWk0IMMMR1FRUcLnJOO/vbKyRbebB2DFlsMc6twUjOuzsrIFpwNmluYGA++Nd/bysyOPsPjIOgD+mn8mvxh1Fd2OEQmlI560670IPr/kmmd2RBTM8fjjx7OCobYLYcmkAl7b3szP36uNa8Z3t8eHy4Fure8vX5oNwPXP7tBd9dDtFIbhJAJEKxgC4yuBGeygFFybGvzct6qKLKcIKbiHYzJXPK0ava7EY0tGcOnc0pCWwqvXz+STBl/UAjGVxjB8lnSAPq/UXXo3HkcMgCWTR5O3sWPIxgqSnaSpJZ4uzGTKK7OQUYajoaEh4YeRTJ9mtLg5fV5/cPA5fADw2JIRfK2snTPfvYestnp6XHn875ib+If7BNxOgcMv8evUwgab9vAXweeXES6R8frjx7OCYaBQHuVr45FtnpAV12LN+A6sbPiDs6YY1vquWjA2YtXDRFxioxUMesagx6tMSlMM39GCezgGO+MpyOOtJR9uauTCWTOiFoipNIbRutCMlt6N557Oye9JaXdSqsep4u3CTKa8MgsZZThKS0sTPifRPk2fXzKg4+qnpcvj42+bGiP6YcfWruHsz36L09NDS+ksjlz9C746cgKFW5p4Z08rh7uOhlOPZ2JQMv2x2v7rEysK+XB/Ox9VtwXDScSqYYZ7ULmdgmOKczhnurKGiLZQfnZtFZVN1RHXCMz4/t7pFRxTnBMSgE4b+yoer7FUu8QuKCsgV8ddWC8m1VD2hweItyDXqxyEB8GM5/1IpTGMNtnPaOndeO7p+HFjeevGUSnpTkp2nEpvpvqq3a1BL6+1Ne0xJx8mU16ZhYwyHF1dXQkv5pRIn6a2zzZWJNI3draEvPBXd77D/7Y+iRPJyoKT+V7ODWT9ow23q4PeAV+Em2Q8E4MS7Y/VCzCX6OSrwKxibaypfS29nP/o5oiXbX2t/n3KUj1nAlFCAz738UYJHcp+6OUzijm2ZIRhmBMIvT9D2R8OyRXkRoXhn88bHfP9SKUxNHLTDp/BryV8noeEYKiXAIH3fLDdSZD8GKeeV9eAz0+3x6+7fLPeO5VMeWUWMspw9PQkF8oi3j5NvT7bLAeMGpFFU3foLNu2Ph8OoSwQ9J9tL3N7+woA/jTqEn5ZcCkIgWfAbzjvId6JQYn0x0YLMKclVsG0ancr+1r6QiZJ6QWnO7YQ3cl+M0uVhTMHEyU0Ht3JdEE4HYJL5pSy5VCVoTuw9v6koj88Wto31HVwTHFOxMJU0Qpyo8LwzV2C/5wc3WU9lUY53BtPO5PfKUTU8TRtN29492my77keyY5xhvcmaPN4vHHMUqljuMkowzHU63HoT+iD2ePzaNJZu0JK+FbHy/xX+wr8CH496Zv8SZwc128NxcSgeOYwuBxQmp+Fz6/M6AUiCt9oYbe14RmuPWU6L1Tt0p3s99B7NSnrS9dz+ZxfdjRUe6KusgsnxvZSGkrfe70ard5gtxFGhWGDLy+u30+lMdReK95uoVitgFS+58mOccbjLh5Yutcoz5h1/aB4yCjDMdTrcRhlslOmFPFRVWS3zM1tL/Bf7S/hFw4aL/0R5825gKfDvJn0yHZiWDgNZiAvVoA5gRISpaq1j2ue2cGSSQWAiCh8bz2lXPc64cHp6g7UGtZeU9WXHs3lUxuqPRHvoPDumhwnTC/Ni7vgDk9fos9Lr0a7r6WPE8oL4irMje7tOKdx99twEG+3UKxWQCrf82S65uIJ1JiX5TBc9yWAGdcPipe4DIcQ4jzg1yjLAj8qpXzQ4LjLgBXAYinlenXbXcDXAR9wm5TyrVQkXI/c3NyhujRwdMnH8MHcu8+azKvbDof0i1/fsZJb219CCgcTbvsNM5ZdGuLNpO0b9ah9o4ElS+86qYivfn5mREaLtphRPAWZXoA5ULoOstU+2gHNIPDH1R0AEZMcbz0Fw4mN2hc8NzfXsPaaqr70aC6f4cTbognvrinL6uO6U2ck3F2T7MDrYD2bjO7teceNSij9qSZeXbEqFal8z5PpmtNzfw68x9ruxFjOGkNdXg0lMQ2HEMIJ/B44G6gD1gkhXpVS7gg7rgD4FrBWs20WcBUwG5gAvCOEmC6lTG5acAzy8/NTfs3w4HF7m3siBnPdLkfIEpVndKzlziN/BWDszQ9TuOxSQD+TBrwxtJm2ve2I7gzc8HUstK6tegWKXm1XL9zH1kNduiv26bkcd3t8bD3UZTixUfuCR3seqepLj7fbIDxtsdAavNbW1qT6+JOdEzHY1pjRvW1vO2J4znCETolXV6xKRarfc6PKjdE9ifc9jnX/hqK8Gi7iaXEsAfZKKfcDCCGeAy4GdoQd9wDwEPBdzbaLgeeklP1AlRBir3q9TwabcD2amppS6qUQLXhc+GBuYInK91a9S9n//REHktFfuoui0y4POU8vk4Z/19NhtI6F0RKg0Wq74b8XmPgWPjcix6UsL6u36IzTIbjnnCl8XN1u+ILHeh6p6EuP1m3gFIp3Wvgks0RJJl/5/JLnNjZGLtQVR8shFa0xvXtrpGO4QqfEqytWpSLV77kese5JPO9xLIZDx1ARj+EoAw5ovtcBS7UHCCFOACZKKf8hhPhu2Llrws4tC/8BIcSNwI0A5eXlVFZWMmHCBJqbm/F4PFRUVFBTU0NhYSEul4vW1lbKyspobGzE7/dTXl5ObW0tLpeLhoYG2tramDRpEnV1dTgcDsaOHcvBgwcZPXo0Xq+Xjo6O4DXdbjclJSXU19dTUlJCX18fXV1dVFRU8MT7u/ikui1k+VMt3R4fq3fU8blxDpqamhjjHGDSX28Fn4e8M66meeZZ9NXVkZOTQ3Nzc9ya+vv76ezq5umP9lDV7WTO2Bw+rT6i663hcsDEnAEqKytDNK1vdfFJVVswNlGXx8eamnYeeXszy48roqioiIaGBkpLS+nq6mIK3Swqz+PT2k56vZLcLAfHlzhxZ2ez4WA3vQNK19zxJU7m5PfS3NxMc3Mzf79qKi98doCtDb2cOrOMGdntNDYcwuVy0dfXR2dnZ8RzCkx6SsVzOq1iEseXONnc5KP36DQYcrMEc0pc/PcZU/mwsp75E/K58PhS9uzexbhx42hra6Ovry94/fz8fMPn1NfXR319fdS8p9VUVj6Rcx/ZxGc6IcxHuAQzS7KprKyMmvd+fWoOaxrdVHU5KHP3c/nCiRysO0BPT08wzbm5ueTn59PU1BSXJp/PF5JPAnnvhY31wdUBA3nlk6o2/vrJXs4+piBl71NNTQ1/OqeIdc2j+WRvEyceU8KJYx3s2b1LV9MpE8ZxfK6gr68ZT39eiKZky4h4894rW5t078nza6s4daI7RFNOTk7E+xTPcxo1ahSVlZVR814imoYTIWX0+QhCiMuB86SUN6jfrwWWSilvUb87gH8CX5FSVgshVgPfkVKuF0L8DlgjpXxaPfYxYKWUcoXR7y1atEiuX78+KTHV1dVMnjw5qXP1eODtKu5509gtM9/t5NlrZ3PhrBL8nj4O3H0x/fu3krvgDMZ97/94c097Uk3/ffuruGlVW8SKZnube+gOM2LzxufphhHXS7sA7j9vim48n8CEsb9vbgpZsQ9Iujsp1c/DiECXQsDlUy8o32BIVMfrO5q5+qntEa2NHJeDk6fEPyaVaox0JJpX0s1w5KvhuCep1iGE2CClXJSyC0YhnhbHQWCi5nu5ui1AAXA8sFoIATAOeFUIcVEc56aUVC/kFE/wuEAz+/AT99K/fytZpZMove13nPfYtqSb/qv2tEf0je9t7uXYklz2NvfqLnMaT9qzXQ4qm3p4fUdzSKGq1ywPrNg3mPkSw7Ww1lDNpQiQqA6jcZdoQSSHAyMdVlsnYjjy1XDcE7MtPJcI8RiOdcA0IcQUlEL/KuBLgZ1SynYg+MaGtTh6gb8KIX6JMjg+Dfg0dckPJdV+0fEGj+v44EXaV/0F4XIz/r8fYdUB76ACxR3y5dHtaQ3Z1jPg59K5YzihvDCu2r+eB5VRPKrBBLaL1hdsZT91LYnqMFoESS+E+XBipGM4QqekkuHIV8NxT6z8fsQ0HFJKrxDiFuAtFHfcx6WU24UQ9wPrpZSvRjl3uxDibygD6V7g5qHyqILU+0XH4/njqd9H45++B8CYr95PzjFz2fh21aDcKcc7uw2D/yVS+7/1lHJuPYWY60MPxv0zmtE51tFsWT91LYnmK7MWxEY6hjqUeKoZjvkPw3FPMn4eh5TyDeCNsG0/NDj2tLDvPwZ+nGT6EmIo3NuidYNIn4+G392O7Ouh4JQvMPKca4HBN3PPn1nMC1Uy4YLHqPa/bEpR1PWhB5PeaEZn/kxzuBsO1tU00Xxl1oI4lnv0UHb3pZLhcmMd6nuS6e64liGZhZwGw5FX/0Df7g24Ro+n9Bs/RR3jMaxxnjN9dETEUr3CJC93RFIFTyILI2kNw2BqyNGMjvZxpGuJ1VS4miaTr8xYEA/3+zFU2DrST0YZjubmZkpKhudF7a/bQ8vzvwBg7H/+AmfeyOA+owlC5z+6Oa4CLKAj0YIn0YWRtEu5JltDjmZ09uzeRUlJ/DGKhoJULEw0nPlqKLF1mAsr68gowzFhwoRh+R0pJU2PfB/p9VB45pfIW3B6xDHhNc7XdzTHXYAlqyPZhZH00hsv0YxOQMdwLbGqRyoWJhqufDXU2DrMhZV1ZJThaG5uprCwcEiure1q+XzTPxm3Yw3OwmLGXHt3XOcnUoAlqyNa7X8ou06Mrh3QMRxLrBqRCrfKocxXw4mRjnR1IyZLpj8PK5BRhsPj0V8HfLBou1qyets459DPACi+7oc484viukYiBViyOsw2KBvQkc55AqnwcBqqfDXc6OlIZzdismTy87AKGWU4hsovWtvV8oP2lxjl62T9iFkUjjmNC+O8RiIF2GB0mGlQNqAjne6pqTCmVva316KnI53diMmSyc/DKmSU4UjGLzqeZnqgq2XywCGu7nwXP4L7i67hmvouLpwdfYW+AIkUYFb279YS0JHultBgjWmmPQ8t6exGTJZMfh5WIaMMR6L9hfE20wNdLd9teo4sfPwt/zRqcifrhu+IRrwFmFX7PcPR6jBTSyhRMvF5BLBauBHI7OdhFRzpTkAqcbkSs4PaZroktJkORwP/bajr4IKs/ZzVu4Fukc3vii4Phu+4+qntnPvIpuAyq+nQYVZsHeZCT0egGzHf7USghEYxwyz3aGTy87AK1k25Dq2trZSWlsZ9fLRm+vIZxUdbI/1enml6CoB1079Iu3c0PoPwHcOhwypeMIk+D7OSyTrS3Y2YDJn8PKxCRhmOsrKIpT6iEq2Zrm2NnNi3nYV9lbQ78lg77TL6t3aFXCfVfcLRdFjJCybR52FWMl2H1boRM/15WIGM6qpqbGyMfZCGaM30YGtESr7V/gIAjxVegCcrjzy3M+Q6qe4TjqYjVveamUj0eZgVW4e5sHWkn4xqcfj9kWtkRyNaMz3QGpnXvokT+vfQ6ijgxeLl/HleKYc6PUPqWhpNh5W8YBJ9HmbF1mEubB3pJ6MMR3l5ecLnGDXTA62Rr370GgDPjLqAuVNKg8cOZZ9wNB1W8oJJ5nmYEVuHubB1pJ+M6qqqra1N2bWcDsErZ8Di3h143Hksv+nWiIXq7z57SnCVPC0Bb6wH3q7i9R3NCXtcRdNhJS+YVD6PdGLrMBe2jvSTUS2OVCzaHvBY2lDXwedW/ZwKoGvJFzl3/mTdVkW4h1MiUXCT0WElL5hUPA8zYOswF7aO9JNRhmOwBDyW1lS3U9JTz5X1/8KDi6sPLuKYRzZFFP56Hk7HFOewr6WXLs/QuetazQvGxsYms8iorqq2trZBnR/wWOoe8HNN5yocSF7NO5lq/0hdzyU9D6edTT10e/RX2xsuHWbB1mEubB3mwso6MspwTJo0aVDnBzyW8vy9XNL1AQBPFZ4DKEbhV/+qDRmz0PNw8vgkWc7QbqNEB68Hq8Ms2DrMha3DXFhZR0YZjrq6ukGdH/BYurj7QwpkL+uzp1PpPhrB8r29bSEhRgLHa8nLcjCzNHdQg9eD1WEWbB3mwtZhLqysI6PGOByOwdnB5TOKWTqpgGur3wHg6YJzQvaHT7gzChf+xg3zWLW7NenB68HqMAu2DnNh6zAXVtaRUYZj7Nixgzrf6RC8fHIP9e8epDe3mMUXXU5fTRer97ahdajVTrgz8nAazOD1YHWYBVuHubB1mAsr67CuydPh4MGDg75G53vPAVB2wXXcd/507vj8pKghRmLN6UiGVOgwA7YOc2HrMBdW1pFRhmP06NGDOt/X3U7X2jcAGHn6VUB6JtwNVodZsHWYC1uHubCyjozqqvJ6vUmf6/NLPv7704z19NE9dSmOEiUcQDom3A1Gh5mwdZgLW4e5sLKOjGpxdHR0JHVeYCJfy9t/BeDHPYtDFmcaiu6oaCSrw2zYOsyFrcNcWFlHRhmOZBd/X1nZQsvurczqr6Ldkctr7hPSGqrcyovYa7F1mAtbh7mwso64DIcQ4jwhxC4hxF4hxJ06+78phNgqhNgkhPhQCDFL3T5ZCNGrbt8khPhjqgVoqampSeq8jQc7ObtNmfD3j9yT8Ah3wrO9U0myOsyGrcNc2DrMhZV1xBzjEEI4gd8DZwN1wDohxKtSyh2aw/4qpfyjevxFwC+B89R9+6SU81OaagPcbndS5y0Yn0dhzxoAXss7GUhvqPJkdZgNW4e5sHWYCyvriKfFsQTYK6XcL6X0AM8BF2sPkFJqO+vygMTiiKeIkpLk5k2cJvYzzttCvauEjdnH4nYKjinO4Zzp6fF6SFaH2bB1mAtbh7mwso54vKrKgAOa73XA0vCDhBA3A3cAbuAMza4pQoiNQAdwt5TyA51zbwRuBGVxk8rKSiZMmEBzczMej4eKigpqamooLCzE5XLR2tpKWVkZjY2N+P1+ysvLqa2tpauri/Lyctra2pg0aRJ1dXU4HA7Gjh3LwYMHGT16NF6vl46OjuA13W43We/9DYA1Jafgcjrw+CR7W3r5/K8/5ulLyigePYqGhgZKS0vp6uqip6cneH5ubi75+fk0NTUxbtw4WlqPsGpPO4d8eYx3dnP+zGLyckfQ3Nwct6bGxkYWLFhAbW1tMPRyoppKSkqor6+npKSEvr4+urq6gvtzcnIoKiqKW1NbWxt9fX3B/fn5+eTk5MTUtHv3bubNmxfxnKymacuWLUydOjVq3rOCpu3btzNq1Ki43yezampqaiI3NzepMsJMmrxeLy6XK+73KZam4URIGb1xIIS4HDhPSnmD+v1aYKmU8haD478EnCulvF4IkQ3kSylbhBALgZeB2WEtlBAWLVok169fn5SY5ubmmFY8fP2M844tpPqmBfg7j3DlpAfZJI6uyuV2Cr5/RgX3nDMlLk8qvTDria7FEa8OK2DrMBe2DnORah1CiA1SykUpu2AU4mlxHAQmar6Xq9uMeA74A4CUsh/oVz9vEELsA6YDyVmGGPT19UXdr1ewfzVvN7d0HqF91BQ2UxZyvMcneeifNXxc3R5X4a8Nsw7Jr8URS4dVsHWYC1uHubCyjnjGONYB04QQU4QQbuAq4FXtAUKIaZqvFwB71O1j1MF1hBBTgWnA/lQkXI+urq6o+/XWzyjbvxqAgfnnkZcdaUc9Phm3a65emPVkvLNi6bAKtg5zYeswF1bWEdNwSCm9wC3AW8BO4G9Syu1CiPtVDyqAW4QQ24UQm1DGOa5Xt58KbFG3rwC+KaVsTbGGILH8ojccCC3YHdLP57uUxs/8Cy5naUUhbmdkqyLewl83zHoS3llW9u/WYuswF7YOc2FlHXHN45BSviGlnC6lPEZK+WN12w+llK+qn78lpZwtpZwvpTxdSrld3f6CZvsJUsrXhk5KdL9on1/y0tamEHevhf27GO3vxDN6EiMqZvDWjfP5/hkVEcYj3sI/VXGtrOzfrcXWYS5sHebCyjoyKlZVTk6O7nafX3Lfqip2NHaHbD+7R2ltlJ5yIUIInALuOWcKH1e3Rwxwx1P4pyqulZEOq2HrMBe2DnNhZR0ZZTj03NICA+If7G9jQLsUuJRBw1Fw4vLg5sEW/oNdi8NIhxWxdZgLW4e5sLKOjIpV1dDQELEtMCDu8YW6HR/vqWKCr4WOnGLe9UwMBjSE4Q9qGI6eDiti6zAXtg5zYWUdGWU4SktLI7bpeToBnN67EYB/uOZz2V+2s/CXn+Lx+iOOSwd6OqyIrcNc2DrMhZV1ZJTh0HNv0/N0cgo4tXczAKtHzMfjk2w+1M2Sh9eFtDzShZXd9LTYOsyFrcNcWFlHRhmOnp6eiG3hnk55WQ7Gyk7mevbTTxZrcmYFj93Z1JO2UOpa9HRYEVuHubB1mAsr68iowXEjv+hbTylnXEETAqgYncPuV/8FwNqcmfQ5soPHDfgkmw52DmpgOxVY2b9bi63DXNg6zIWVdWRUiyPcL9rj9bPwl5/yxb9s46+fNfLytsM8+1kjJ3cr4xv/GjE/5PhctyNtodS1WNm/W4utw1zYOsyFlXVkVIsjNzc3+Nnnlyx5eB2bDx2du9Hl8SPbuzm5bxugjG8EyHE5OLFiZMKT9YYCrQ4rY+swF7YOc2FlHRllOPLz84OfV1a2sLMpsg9xZvceCv09VGdNoC6rlByXgwkj3fzyomlpcb3VQ6vDytg6zIWtw1xYWUdGGY6mpiZGj1YWX9p4sDNi7gbAqf1Ka2PkwtN5YN6UpGd3DyVaHVbG1mEubB3mwso6MspwjBs3Lvh5QVkBeVkOugdC52ac7lVWvJ192jksXTRlWNMXL1odVsbWYS5sHebCyjoyanC8ra0t+Hn5jGJOnDySvCxFotspOHEMTO/ZBw4nubNPSlMqY6PVYWVsHebC1mEurKwjo1oc2oVR9GJOndq1gYb1PnKOW4RjhHn7F628wIsWW4e5sHWYCyvryCjDEe4XHR5wsOkxZbnz3LnLhj1tiWBl/24ttg5zYeswF1bWkVFdVbH8onu2fghA7pxThyM5SWNl/24ttg5zYeswF1bWkVGGI5p7m7e1AU/dbkT2CEZMWzCMqUocK7vpabF1mAtbh7mwso6MMhzRFkbp2fYxACNmnojIcg9XkpLCygu8aLF1mAtbh7mwso6MMhzNzc2G+3p3rgEwtTdVgGg6rIStw1zYOsyFlXVklOGYMGGC4b7enWsBGDHrxOFKTtJE02ElbB3mwtZhLqysI6MMh5EF97Y346nbg3DnkDN17jCnKnGsXBPRYuswF7YOc2FlHRllODwej+723p2fApAzfaHpxzfAWIfVsHWYC1uHubCyjowyHEZ+0YFuqrqSOTzwdhWv72g2xUp/RljZv1uLrcNc2DrMhZV1ZJThMPKL7tmhDIz/YE8x97xZxdVPbefcRzaZ1nhY2b9bi63DXNg6zIWVdWSU4SgsLIzY5uvppL96O16crHFMQQJdHh9razpMsUysHno6rIitw1zYOsyFlXVklOFwuSIjqPTt3oCQfra5p9DrOOo33e3xselg53AmL270dFgRW4e5sHWYCyvryCjD0draGrGtd9d6ALblTg/Znud2mmKZWD30dFgRW4e5sHWYCyvriMtwCCHOE0LsEkLsFULcqbP/m0KIrUKITUKID4UQszT77lLP2yWEODeViQ+nrKwsYlvfns8A6J04j3y3EwHku50srSg0xTKxeujpsCK2DnNh6zAXVtYRs60khHACvwfOBuqAdUKIV6WUOzSH/VVK+Uf1+IuAXwLnqQbkKmA2MAF4RwgxXUrpS7EOABobGykoONqKkH4/fXs2AvCj/7qUzx/ODoZYN9uqf1rCdVgVW4e5sHWYCyvriKeTbQmwV0q5H0AI8RxwMRA0HFLKDs3xeUDAXeli4DkpZT9QJYTYq17vkxSkPQK/P3S1v4FD+/B3t+MaPZ7sMWVcOIZgiHUzE67Dqtg6zIWtw1xYWUc8XVVlwAHN9zp1WwhCiJuFEPuAnwG3JXJuqigvLw9+9vkla1a/D8CRcbNN63qrh1aHlbF1mAtbh7mwso6UDetLKX8P/F4I8SXgbuD6eM8VQtwI3AjKzaysrGTChAk0Nzfj8XioqKigpqaGwsJCXC4Xra2tlJWV0djYiN/vp7y8nNraWrq6uigvL6el9Qi3vNfN2Rve43Lg0aZSNv3qI1788jSk30dHR0fwmm63m5KSEurr6ykpKaGvr4+urq7g/pycHIqKimhoaKC0tJSuri56enqC+3Nzc8nPz6epqYlx48bR1tZGX19fcH9+fj45OTk0NzfHramxsZEFCxZQW1tLUVERoCwzOWnSJOrq6nA4HIwdO5aDBw8yevRovF6vKTXt3r2befPmRTwnq2n67LPPmDp1atS8ZwVN27dvZ9SoUXG/T2bV1NTURG5ublJlhJk0eb1eXC5XUmWEnqbhREgZvSYuhDgJuFdKea76/S4AKeVPDY53AEeklCPDjxVCvKVey7CratGiRXL9+vXJaKGhoYFx48bx+o5mrn5qO09Xf5+ZA7V8aez/sqtwFs9eO9sSXVUBHVbH1mEubB3mItU6hBAbpJSLUnbBKMTTVbUOmCaEmCKEcKMMdr+qPUAIMU3z9QJgj/r5VeAqIUS2EGIKMA34dPDJjs7Gg53Ivm6mDxxgACfb3ZNNPW/DxsbGxkrENBxSSi9wC/AWsBP4m5RyuxDiftWDCuAWIcR2IcQm4A7Ubiop5XbgbygD6W8CNw+VRxUozU+ABWUFLPLX4ESyyz2JPke2qedthBPQYXVsHebC1mEurKwjrjEOKeUbwBth236o+fytKOf+GPhxsglMhEmTJgGwfEYx20YcBGCLe6rp522EE9BhdWwd5sLWYS6srCOjZo7X1dUB4HQIritVYt1PW7iYZ6+dzVs3zjftvI1wAjqsjq3DXNg6zIWVdVg3WIoODsdRO9i/fysAl114BjlTzD8grkWrw8rYOsyFrcNcWFmHdVOuw9ixYwHwdXcw0FCFyMome+JxaU5V4gR0WB1bh7mwdZgLK+vIKMNx8KAyrtFfpbQ23BUzEa6sdCYpKQI6rI6tw1zYOsyFlXVklOEYPXo0AH37tgBYYn1xPQI6rI6tw1zYOsyFlXVklOHwer0A9O8PGI456UxO0gR0WB1bh7mwdZgLK+vIKMPR0aHEWuxTB8azj5mXzuQkTUCH1bF1mAtbh7mwso6MMhwVFRXKwPih/ZYdGAdrL2KvxdZhLmwd5sLKOjLKcOyvqmb16o8A6C2dht9hTW9jKy9ir8XWYS5sHebCyjoyxnD4/JIb3zzC86+tBuAfnWM595FNlgqnHsDtdqc7CSnB1mEubB3mwso6MsZwrKxsYfNhD1N6qwHY5ipnbU0HKytb0puwJCgpsdaERSNsHebC1mEurKwjYwzHxoOd9Hj8HDegrBtVmVVh2Yi49fX16U5CSrB1mAtbh7mwso6MMRwLygoocEmmeZRJNbvd5ZaKiKvFyjURLbYOc2HrMBdW1pExhmP5jGLOHdlCNgPUOcdAToGlIuJq6evrS3cSUoKtw1zYOsyFlXVY0+1IB6dDcO/Uw/AZiIkzePba2SyfUWyZiLhaurq60p2ElGDrMBe2DnNhZR0ZYzgARvW10AnMWbSQEgssEWuElf27tdg6zIWtw1xYWUfGdFUBdOz+DIDsybPTnJLBYWX/bi22DnNh6zAXVtaRUYZDNFYBkF0xM80pGRw5OTnpTkJKsHWYC1uHubCyjozpqvJ1tkL7YUT2CFa15LNxWxULygosOc5RVFSU7iSkBFuHubB1mAsr68gYw9FfsxOA/dmTuPqZnXR7fOSpa41badlYgIaGBktnqgC2DnNh6zAXVtaRMV1VA00HkAg+o5wujw8JdHl8lpw9Xlpamu4kpARbh7mwdZgLK+vIGMMx8oyrePyyF/hF4WUh27s8Pj6rs1b4Yiu76WmxdZgLW4e5sLKOjDEcAJNH59CfUxSx/cUthy0V7LCnpyfdSUgJtg5zYeswF1bWkVGG49pTpnNsyYiI7Xtbei3VXWVl/24ttg5zYeswF1bWkVGGo+5ALZfMKSV8GLzH47dUsEMr+3drsXWYC1uHubCyjowyHLm5uSycWECe2xmy3WrBDnNzc9OdhJRg6zAXtg5zYWUdGWU48vPzWT6jmKUVheS7nQggX3XJtVKww/z8/HQnISXYOsyFrcNcWFlHxszjAGhqamL06NG8deN8Vla2sOlgJ/MtOAkwoMPq2DoSY2BggLq6uiGLmjowMEBjY+OQXHs4+XfXkZOTQ3l5OVlZWUOQqviIy3AIIc4Dfg04gUellA+G7b8DuAHwAoeBr0kpa9R9PmCremitlPKiFKU9gnHjxgFKpNwLZ5VwoUUDHQZ0WB1bR2LU1dVRUFDA5MmTESL1FR2v14vLZf264r+zDiklLS0t1NXVMWXKlCFKWWxidlUJIZzA74HlwCzgaiHErLDDNgKLpJRzgRXAzzT7eqWU89W/ITMaAG1tbUN5+WHD1mEuhktHX18fxcXFQ2I0AHw+35Bcd7j5d9YhhKC4uDjta3nEM8axBNgrpdwvpfQAzwEXaw+QUr4npQw4Ja8BylObzPhI981MFbYOczGcOobKaAD4/f4hu/Zw8u+uYyjzSLzE004qAw5ovtcBS6Mc/3VgpeZ7jhBiPUo31oNSypfDTxBC3AjcCFBeXk5lZSUTJkygubkZj8dDRUUFNTU1FBYW4nK5aG1tpaysjMbGRvx+P+Xl5dTW1jJixAgaGhpoa2tj0qRJ1NXV4XA4GDt2LAcPHmT06NF4vV46OjqC13S73ZSUlFBfX09JSQl9fX10dXUF9+fk5FBUVERDQwOlpaV0dXXR09MT3J+bm0t+fj5NTU2MGzeOtrY2+vr6gvvz8/PJycmhubk5bk0+n4+enh5qa2uDsWysqGlgYIDOzs6I52Q1TQMDA9TX10fNe6nQ5PV66e3tJTs7m/7+fhwOB06nk4GBAbKysvD5fPj9/rj3O51OhBB4vV7cbjdCiJDrh+8fGBgAICsrC4/HE+xGibZfSonP5wtJk8vlirp/sJqcTie9vb243W68Xm9UzWbWlJWVRW9vb0Sa49E0MDAQUUYMK1LKqH/A5SjjGoHv1wK/Mzj2GpQWR7ZmW5n6fypQDRwT7fcWLlwok2Xnzp1Jn2smbB3mYrh07NixI6HjvT6/fG37YXn/qv3yte2Hpdfnj3p8T09PzGs6HA45b948OXv2bHn55ZfL7u5uKaWUhw4dkldeeaWcOnWqPOGEE+Ty5cvlrl27EkpvqohHhxUYjA69vAKslzHK81T9xdNVdRCYqPlerm4LQQhxFvAD4CIpZb/GMB1U/+8HVgML4rZqCWJl9zYttg5zYUYdPr/k3Ec2cfVT27nnzSqufmo75z6yKWpoHafTabgvwIgRI9i0aRPbtm3D7Xbzxz/+ESkll1xyCaeddhr79u1jw4YN/PSnP43wCPJ6vdHTnKKxiXh0GBErjcPJYHSkm3gMxzpgmhBiihDCDVwFvKo9QAixAPgTitFo0mwfJYTIVj+XACcDO1KV+HCsvDCKFluHuTCjjpWVLayt6UgoEnSifePLli1j7969vPfee2RlZfHNb34zuG/evHksW7aM1atXs2zZMi666CJmzQr3mVGM7n//938zb948PvnkE55++mmWLFnC/Pnzuemmm4LG5M033+SEE05g3rx5nHnmmQC0trbyhS98gblz53LiiSeyZcsW/H4/06dPD3FYmDZtGo2NjRw+fJjLLruMxYsXs3jxYj766CMA7r33Xq699lpOPvlkrr32Wk499VQ2bdoUPP+UU05h8+bNCd2bVGCGsYpkiWk4pJRe4BbgLWAn8Dcp5XYhxP1CiICX1M+BfODvQohNQoiAYZkJrBdCbAbeQxnjGDLD0dzcPFSXHlZsHebCjDo2Huyk2xNag+/2+KKG1kmktu31elm5ciVz5sxh27ZtLFy40PDYzz77jF//+tfs3r07Yl93dzdLly5l8+bNFBcX8/zzz/PRRx+xadMmnE4nzzzzDIcPH+Yb3/gGL7zwAps3b+bvf/87APfccw8LFixgy5Yt/OQnP+G6667D4XBwwQUX8NJLLwGwdu1aKioqGDt2LN/61rf49re/zbp163jhhRe44YYbgunYsWMH77zzDs8++yxf//rXeeKJJwDYvXs3fX19zJs3L+57kyrM1PpJlLiciKWUbwBvhG37oebzWQbnfQzMGUwCE2HChAnD9VNDiq3DXJhRx4IyJbROl8Z4xAqt43a7Y163t7eX+fPnA0qL4+tf/zp//OMfo56zZMkSwzkFTqeTyy5Tljp499132bBhA4sXLw7+VmlpKWvWrOHUU08NXiMw2fLDDz/khRdeAOCMM86gpaWFjo4OrrrqKn784x/z1a9+leeee44rr7wSgHfeeYcdO47WSzs6OoKhyy+66CJGjFACoF5xxRU88MAD/PznP+fxxx/nK1/5Ssz7MhTE8zzMivVn0Whobm6msLAw3ckYNLYOc2FGHYHQOmtrOkJWu4wWWsfr9cbsVw+McWiZPXs2K1asMDwnLy/PcF9OTk7wN6WUXH/99fz0pz8NOea1116LmqZwFi9ezN69ezl8+DAvv/wyd999N6C4t65Zs0a3a1GbxtzcXM4++2xeeeUV/va3v7Fhw4aEfj9VxPM8zEpGxaryeDzpTkJKsHWYCzPqcDoEb904n2evnc39503h2Wtnx1wiOdl5A2eccQb9/f088sgjwW1btmzhgw8+SOg6Z555JitWrKCpSRkGbW1tpaamhhNPPJH333+fqqqq4HZQWjzPPPMMAKtXr6akpITCwsLgYP0dd9zBzJkzKS5WjOU555zDb3/72+DvhRtALTfccAO33XYbixcvZtSoUQnpSBVWno+SUS0OK8e312LrMBdm1ZFoaJ3s7OykfkcIwUsvvcTtt9/OQw89RE5ODpMnT+bhhx/m4MEIB0tDZs2axY9+9CPOOeec4DyG3//+95x44ok88sgjXHrppfj9fkpLS3n77be59957+drXvsbcuXPJzc3lySefDOq48sorWbx4cXCsAuA3v/kNN998M3PnzsXr9XLqqacadrMtXLiQwsJCvvrVryZ1T1JBss/DDAjF/dc8LFq0SK5fvz6pcysrK5kxY0aKUzT82DrMxXDp2LlzJzNnzhyy6/f29gb7+a1MKnTU19dz2mmnUVlZicORno6XwejQyytCiA1SykWpSFssMqqrymz90Mli6zAXmaLDqv3p4QxWx1/+8heWLl3Kj3/847QZDbD288iorqpMiJgJtg6zkSk6rDxvQMtgdVx33XVcd911KUpN8lj5eWRUiyMwqGZ1bB3mIlN0WHnegBZbR/rJKMNRVlaW7iSkBFuHucgUHVaeN6DF1pF+MspwZMKqYGDrMBuZoiMQCdbq2DrST0YZDiv7RWuxdZiLTNFhY5MqMspwlJenZf2olGPrMBeZoiOeNaqFEFxzzTXB716vlzFjxnDhhRcOZdISIp1rbYMysfCNN45GYHr11Vd58MEHo5wBTzzxBLfcckvItqysLPr7+znrrLOYP38+zz//PDfccEMwbMpPfvKT1Cc+RWSU4aitrU13ElKCrcNcZIqOeGbA5+XlsW3bNnp7ewF4++23TTfGk+6Z/OGG46KLLuLOO+9M+Doej4eNGzcGr3nllVfy6KOPBqMMm9lwZIafoUpaVsIaAmwd5iIdOnZfPjSBFaevqI95zPnnn88//vEPLr/8cp599lmuvvrqYHiR1tZWvva1r7F//35yc3N55JFHmDt3Lvfeey+1tbXs37+f2tpabr/9dm677TYAfvnLX/L4448DSqiP22+/PeI3fT4fd955J6tXr6a/v5+bb76Zm266iV/96lds3bqVxx9/nK1bt3L11Vfz0Ucf8dBDD7Fv3z727t1Lc3Mz3/ve9/jGN76BlJLvfe97rFy5EiEEd999N1deeSWrV6/m3nvvpaSkJBjt9+mnn0YIwYYNG7jjjjvo6uqipKSEJ554gvHjx3PaaaexdOlS3nvvPdra2njsscdYunQpP/zhD+nt7eXDDz/krrvuore3l/Xr1/O73/2O1157jR/96Ed4PB6Ki4t55plnGDt2rO59bm1t5ZprruHw4cPMnz+fF154ga9//ev84he/YMWKFcGAk7Nnzw6GXjELGdXisLGxGTxXXXUVzz33HH19fWzZsoWlS4+uFK0X6jxAZWUlb731Fp9++in33XcfAwMDbNiwgf/7v/9j7dq1rFmzhj//+c/BWraWxx57jJEjR7Ju3TrWrVvHn//8Z6qqqvjWt77F3r17eemll/jqV7/Kn/70J3JzcwElXtY///lPPvnkE+6//37q6+t58cUX2bRpE5s3b+add97hu9/9LocOHQJg48aNPPzww+zYsYP9+/fz0UcfMTAwwK233sqKFSvYsGEDX/va1/jBD34QTJfX6+XTTz/l4Ycf5r777sPtdnP//fdz5ZVXBlsJWk455RTWrFnDxo0bueqqq/jZz35meJ9LS0t59NFHWbZsGZs2beKYY44J7nvwwQeDASfNZjQgw1ocbW1tjBs3Lt3JGDS2DnORDh3xtAwSJdD9FIu5c+dSXV3Ns88+y/nnnx+yzyjUOcAFF1xAdnY22dnZlJaW0tjYyIcffsgll1wSjE576aWX8sEHH7BgQehCoKtWrWLLli3BKLzt7e3s2bOHKVOm8MQTTzB37lxuuukmTj755KCOiy++mBEjRjBixAhOP/10Pv30Uz788EOuvvpqnE4nY8eO5fOf/zzr1q2jsLCQJUuWBMer5s+fT3V1NUVFRWzbto2zzz4bUFo+48ePD6br0ksvBZTYVtXV1THvXV1dHVdeeSWHDh3C4/EYhpsHa8/jyBjD4fNLtvcW8Pe3q1hQVsDyGcVRI4WamUmTJqU7CSnB1mEuEpk3cNFFF/Gd73yH1atX09JivKqgFm3QPqfTGbVgfOmll7jvvvsAePTRR5FS8tvf/pZzzz034tg9e/aQn59PfX19iI7wmdexZmLrpU9KyezZs/nkk0+inhNLT4Bbb72VO+64g4suuijYPWaEPY8jzQTWX77uud1xr79sZurq6tKdhJRg6zAXicwb+NrXvsY999zDnDmh67AZhTo3YtmyZbz88sv09PTQ3d3NSy+9xLJly7jkkkvYtGkTmzZtYtGiRZx77rn84Q9/CKZx9+7ddHd3097ezm233cb7779PS0sLK1asCB7zyiuv0NfXR0tLC6tXr2bx4sUsW7aM559/Hp/Px+HDh3n//fdZsmSJYfqOO+44Dh8+HDQcAwMDbN++Peq9KSgooLNTf6XF9vb2oDNBIJqvEbGeR1ZWlmnnemSE4Qisv9zjlXGvv2xm0hl4LZXYOqxLeXl5cHBby7333suGDRuYO3cud955Z8zC8YQTTuArX/kKS5YsYenSpdxwww0R3VSgDJrPmjWLE044geOPP56bbroJr9fLt7/9bW6++WamT5/OY489xp133hlcz2Pu3LmcfvrpnHjiifzv//4vEyZM4JJLLmHu3LnMmzePM844g5/97GdRuxndbjcrVqzg+9//PvPmzWP+/Pl8/PHHUTWdfvrp7NixI+hCG35/rrjiChYuXEhJSXzh7o248cYbmTt3Ll/+8pcHdZ2hICPCqj/wdhX3vFmFVokA7j9vCnefbdzHaFY6OzspKDBeAtQq2DoSY6jDqvt8PktHZA3g8/l44IEHyM/P5zvf+U66k5M0g3kedlj1FBBYf1lLrPWXzUwii+OYGVuHuUj3/IdUYetIPxkxOB5Yf3lNdRs9AzKu9ZfNzOjRo9OdhJRg6zAXmRIe3uVyRR10tgpWfh7WTbmGwPrLT3+0hwN9Wcy3uFeVld30tNg6EkdKOWTrNJitWzpZ/t11mEF/RnRVgWI8lo7xc/fZU7hwVolljQYQ9Iu3OraOxMjJyaGlpWXICgafzzck1x1u/p11SClpaWkhJydnCFIUPxnR4ghQUVGR7iSkBFuHuRguHeXl5dTV1XH48OEhuf5QtmaGk393HTk5OWkPvJlRhqOmpoYZM2akOxmDxtZhLoZLR1ZWVtSZxoOlsrIyI56HrSP9ZExXFVh7JqYWW4e5sHWYC1tH+skowzHYCTdmwdZhLmwd5sLWkX4yynAEYtlYHVuHubB1mAtbR/ox3cxxIcRhoCbJ00uA5hQmJ13YOsyFrcNc2Dr0qZBSjknh9QwxneEYDEKI9cM15X4osXWYC1uHubB1pJ+M6qqysbGxsRl6bMNhY2NjY5MQmWY4Hkl3AlKErcNc2DrMha0jzWTUGIeNjY2NzdCTaS0OGxsbG5shxjYcNjY2NjYJkTGGQwhxnhBilxBirxDiznSnJxpCiMeFEE1CiG2abaOFEG8LIfao/0ep24UQ4jeqri1CiBPSl/KjCCEmCiHeE0LsEEJsF0J8S91uNR05QohPhRCbVR33qdunCCHWqul9XgjhVrdnq9/3qvsnp1VAGEIIpxBioxDidfW75XQIIaqFEFuFEJuEEOvVbZbKVwBCiCIhxAohRKUQYqcQ4iQr6tAjIwyHEMIJ/B5YDswCrhZCzEpvqqLyBHBe2LY7gXellNOAd9XvoGiapv7dCPxhmNIYCy/w31LKWcCJwM3qPbeajn7gDCnlPGA+cJ4Q4kTgIeBXUspjgSPA19Xjvw4cUbf/Sj3OTHwL2Kn5blUdp0sp52vmOVgtXwH8GnhTSjkDmIfyXKyoIxIppeX/gJOAtzTf7wLuSne6YqR5MrBN830XMF79PB7YpX7+E3C13nFm+gNeAc62sg4gF/gMWIoyo9cVnr+At4CT1M8u9TiR7rSr6SlHKYzOAF4HhEV1VAMlYdssla+AkUBV+D21mg6jv4xocQBlwAHN9zp1m5UYK6U8pH5uAMaqn02vTe3mWACsxYI61O6dTUAT8DawD2iTUgaW/tOmNahD3d8OmGWN4oeB7wF+9Xsx1tQhgVVCiA1CiBvVbVbLV1OAw8D/qV2Hjwoh8rCeDl0yxXBkFFKpcljCT1oIkQ+8ANwupQxZKs8qOqSUPinlfJQa+xLAcoskCCEuBJqklBvSnZYUcIqU8gSU7pubhRCnandaJF+5gBOAP0gpFwDdHO2WAiyjQ5dMMRwHgYma7+XqNivRKIQYD6D+b1K3m1abECILxWg8I6V8Ud1sOR0BpJRtwHsoXTpFQojAQmfatAZ1qPtHAi3Dm1JdTgYuEkJUA8+hdFf9GuvpQEp5UP3fBLyEYsytlq/qgDop5Vr1+woUQ2I1HbpkiuFYB0xTPUjcwFXAq2lOU6K8Clyvfr4eZcwgsP061eviRKBd09RNG0IIATwG7JRS/lKzy2o6xgghitTPI1DGaXaiGJDL1cPCdQT0XQ78U605phUp5V1SynIp5WSU/P9PKeWXsZgOIUSeEKIg8Bk4B9iGxfKVlLIBOCCEOE7ddCawA4vpMCTdgyyp+gPOB3aj9E//IN3piZHWZ4FDwABKzeTrKP3L7wJ7gHeA0eqxAsVjbB+wFViU7vSr6ToFpZm9Bdik/p1vQR1zgY2qjm3AD9XtU4FPgb3A34FsdXuO+n2vun9qujXoaDoNeN2KOtT0blb/tgfeZavlKzVt84H1at56GRhlRR16f3bIERsbGxubhMiUriobGxsbm2HCNhw2NjY2NglhGw4bGxsbm4SwDYeNjY2NTULYhsPGxsbGJiFsw2GT0QghitUoq5uEEA1CiIPq5y4hxP8bot+8XQhxXZT9Fwoh7h+K37axGQ5sd1ybfxuEEPcCXVLKXwzhb7hQAiWeII/GiAo/RqjHnCyl7BmqtNjYDBV2i8Pm3xIhxGmaNSvuFUI8KYT4QAhRI4S4VAjxM3VNiDfV0CoIIRYKIf6lBt97KxA6IowzgM8CRkMIcZtQ1izZIoR4DoIxilYDFw6LWBubFGMbDhsbhWNQCv2LgKeB96SUc4Be4ALVePwWuFxKuRB4HPixznVOBrSBBu8EFkgp5wLf1GxfDyxLuQobm2HAFfsQG5t/C1ZKKQeEEFsBJ/Cmun0rytopxwHHA28rPU04UcLGhDOe0IWUtgDPCCFeRgk7EaAJmJC65NvYDB+24bCxUegHkFL6hRAD8ujgnx/lPRHAdinlSTGu04sSByrABcCpwH8APxBCzFG7sXLUY21sLIfdVWVjEx+7gDFCiJNACSkvhJitc9xO4Fj1GAcwUUr5HvB9lNDl+epx01GCKtrYWA7bcNjYxIGU0oMSfvwhIcRmlGjAn9M5dCVKCwOU7qyn1e6vjcBvpLLmB8DpwD+GMs02NkOF7Y5rY5NihBAvAd+TUu4x2D8W+KuU8szhTZmNTWqwDYeNTYpRF+8ZK6V832D/YmBASrlpWBNmY5MibMNhY2NjY5MQ9hiHjY2NjU1C2IbDxsbGxiYhbMNhY2NjY5MQtuGwsbGxsUkI23DY2NjY2CTE/w/GTHRDcDCnTgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(\n", " xx,\n", " PCr_recovery_raw,\n", " \".\",\n", " color=[0, 0.4470, 0.7410],\n", " markersize=10,\n", " label=\"PCr recovery\",\n", ")\n", "plt.plot(\n", " xx,\n", " fitted_curve,\n", " \"-\",\n", " color=[0.8500, 0.3250, 0.0980],\n", " linewidth=2,\n", " label=\"Mono-exponential fit\",\n", ")\n", "\n", "# Assuming f0_avg has attributes 'a', 'b', 'c' for the fit parameters and gof_avg has an attribute 'rsquare' for R^2\n", "plt.title(\n", " f\"PCr recovery = {round(params[0], 3)} - {round(params[1], 3)}*exp(-time/{round(params[2], 3)}), R^2 = {round(r_squared, 3)}\"\n", ")\n", "plt.xlabel(\"Time (s)\")\n", "plt.grid(True, which=\"both\", linestyle=\"--\", linewidth=0.5)\n", "plt.legend(loc=4)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "colab": { "provenance": [] }, 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