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Last active May 20, 2021 19:39
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lab31.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "lab31.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyOjrpJYsL6sSKGVUivMcYFd",
"include_colab_link": true
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/zulonas/5e3d25c00f0c4430b2cda732218a1e01/lab31.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "sgrunLZJP0lk"
},
"source": [
"import math\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.metrics import mean_squared_error"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "JhiZyWUg3Qej"
},
"source": [
"AUTOCORR_NUM = 2\n",
"TRAIN_SIZE = 200"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "kmxkI3HfRBEL"
},
"source": [
"### TASK: 1, 2, 3\n",
"\n",
"1. Atsisiųsti sunspot.txt . Faile pateikti duomenys apie saulės dėmių aktyvumą nuo 1700 iki 2014\n",
"metų.\n",
"2. Užkrauti failo turinį į darbinę atmintį.\n",
"3. Patikrinti ar užkrauta atitinkama matrica – pirmas stulpelis atitinka metus, antras – saulės dienų\n",
"aktyvumą"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "ByN7F37ZQRne",
"outputId": "601662b3-bd52-4c47-ad9e-60ad406a809d"
},
"source": [
"data = pd.read_csv(\"https://gist.githubusercontent.com/zulonas/5e3d25c00f0c4430b2cda732218a1e01/raw/e9a16921aa5019ef4f739954156b042810fff957/sunspot.txt\", delimiter='\\t', header=None)\n",
"data.columns = ['year', 'spots']\n",
"print(data.head())"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" year spots\n",
"0 1700 5\n",
"1 1701 11\n",
"2 1702 16\n",
"3 1703 23\n",
"4 1704 36\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "NdSms1AqRNCz"
},
"source": [
"### TASK: 4\n",
"4. Pirma užduotis, kurią turi realizuoti mūsų programa – nubrėžti saulės dėmių aktyvumo už 1700-2014 metus grafiką. Grafikas turi būti pilnai aprašytas – pateikti ašių ir grafiko pavadinimus."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "U0fkKe2lSQgI",
"outputId": "6705d018-cc5b-4c7e-83f2-6f5cf5519e52"
},
"source": [
"# TASK: 4\n",
"plt.figure()\n",
"plt.plot(data['year'], data['spots'])\n",
"plt.xlabel(\"Metai (year)\")\n",
"plt.ylabel(\"Saulės dėmės (spots)\")\n",
"plt.title(\"Saulės dėmių skaičius pagal metus\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "jHH4oSUSRwec"
},
"source": [
"### TASK: 5\n",
"\n",
"5. Priimkime, kad autoregresinio modelio eilė bus lygi 2 (n=2). T.y priimame, kad sekančių metų dėmių prognozė yra įmanoma turint tik dviejų ankstesnių metų dėmių skaičių. Tuomet neuronas turės tik du įėjimus. Papildykite scenarijų, aprašant matricas P ir T, kuriose atitinkamai pateikiami (mokymosi) įvesties duomenys o taip pat išvesties duomenys.\n"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "SIlSiVRQSa6P",
"outputId": "23ceab07-2732-459c-871b-0dae3f480192"
},
"source": [
"# TASK: 5\n",
"def get_input_matrix(data_list, length):\n",
" return [data_list[i:i + length] for i in range(len(data_list) - length)]\n",
"\n",
"def get_output_vector(data_list, length):\n",
" return data_list[length:]\n",
"\n",
"X = get_input_matrix(data['spots'], AUTOCORR_NUM)\n",
"X = np.array(X) # aka P\n",
"\n",
"y = get_output_vector(data['spots'], AUTOCORR_NUM)\n",
"y = np.array(y) # aka T\n",
"\n",
"timeline = get_output_vector(data['year'], AUTOCORR_NUM)\n",
"\n",
"for i in range(7):\n",
" print(X[i], y[i])"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"[ 5 11] 16\n",
"[11 16] 23\n",
"[16 23] 36\n",
"[23 36] 58\n",
"[36 58] 29\n",
"[58 29] 20\n",
"[29 20] 10\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "L4IIKzvlS-Xw"
},
"source": [
"### TASK: 6\n",
"6. Nubrėžti trimatę diagramą, joje vaizduojant įvesties ir išvesties duomenis P ir T atitinkamai. Išanalizuoti gautą grafiką - sukiokite kol nepamatysite koreliacijos tarp duomenų požymius. Kokia yra neurono svorio koeficientų w1, w2, b optimalių reikšmių parinkimo grafinė interpretacija? Pridėti ašių ir grafiko pavadinimus. "
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 248
},
"id": "MNn8Rvu44nGP",
"outputId": "bd7fa621-6b24-4e59-aea4-5483d089163b"
},
"source": [
"# TASK: 6\n",
"plt.figure()\n",
"ax = plt.axes(projection='3d')\n",
"ax.scatter3D(X[:,1], X[:,0], y)\n",
"ax.set_xlabel(\"Pirma įvestis [w1]\")\n",
"ax.set_ylabel(\"Antra įvestis [w2]\")\n",
"ax.set_zlabel(\"Išvestis (b)\")\n",
"plt.title(\"Įvesties/išvesties duomenų grafikas\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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NItx44400NDTQ1NTEKaecwrnnnpvQnaRg7dq1XHPNNezcuZOamhoOHjzI+973vqzP0WQy8atf/YqRkRE+/elPc9ppp/GRj3yE1atX09jYiNlsjnFrZPobvlchpVlqvOcEby699FK+973vzekGfKdw++23Mz4+zu233/5OTyWPeeKSSy7h61//OmvWrEm77Y9+9CMeeeQRdfWRx6JCXvAmU3R1dS0pwgXU6PnRhhCCaDSKz+fD5XLh8/kIBAKEw2Gi0WhWvsM8ZvDCCy8kJdyhoSH++te/Issyhw8f5o477lADu3ksHeRJNw7V1dVs27YtJpK92HHeeeepvtijASEEkUiEYDBIKBRClmVkWSYUCuH3+/F6vbjdbpxOJy6XC6/XmyfjDLF582a2bt3K/v37Z30WCoW48sorKSoq4uSTT+bjH/84n//859+BWeYxH+TdC3lkDMWyjUQiCCGQJEmtYIpEIrOCJfFJ4b29vVRXV2OxWNDpdOj1evVPp9Oh0+nSZnfkkccSQdILOa+9kEdaKJatYqVqMxVSQSFlBaFQCHg7kh2JRAiHwzH75Mk4j3c78qSbR1IoZKvU4mdKtskgSZJK2srr+OPB22Qcv61er8dgMKhErNfr82Scx5JDnnTzmAVZllU3Asy2WOORK+JLR8bKnBwOBxaLhdLS0pSWcZ6Q81iMyJNuHipkWcbv9zMyMkJdXV3OiUuxdOeyn/Zfxc2h1+vV1/HKWIpVbjAY8mScx6JCnnTf41CCXOFwGFmWCYfDDA0NzakkNh3mSrqpxtP+q0A5hizLs4oUFDKOd1XkyTiPo4U86b5HIYRAlmUikYhakqz4TRcqpSvXpJvqONp/tVDOOxqNMj09zcjICE1NTQAxbgrFOs6TcR65Rp5032OIJ1uFVBRi0el0SXUh3g2IJ9FwOKw+aBQy1gbwgIQ+43xGRR5zRZ503yNIlmMbTxwLaY0eLUs3U8RnR6SzjOPJOJ/elsdckCfddzmEEASDQdxuNzabLW3a10Jaurkk3VyNk44gU5Gx4gsPhUJ0dXWxYsUKTCZTnozzSIk86b5LoS1o8Hg8dHd3s3HjxrT7LTQx5IIsczXH+cwlnowDgYBKrpAv/MgjOfKk+y5DooKGhQyOKcfI5XZLEVqXDaQv/NBCId984cd7A3nSfZcgVUHDQroMgsEgdrsdj8eD1WpV/xR9BS0Wm08Xcms1Z1JAkq7wQ5ZlOjs7aW1tzRd+vEuRJ90lDiUTQWmlkuiGXAjSDQQC9PT0MDU1xYoVK6iqqlIVxsbHx9UWNIWFhSoRK7nAiwW5fACkI91kSETGPp8vX/jxLkaedJcg4gsaIHWpbi5J1+fz0dPTg8vloqmpiTVr1iCEIBQKYbPZ1NYwMPNACAQCeL1ePB4PU1NTjI+P09fXF0PGVqs1pqXRUsRcSTfZOPnCj3cv8qS7hKDNsVWaEjY0NKS9oXJBul6vl+7ubrxeL6tWrWLt2rXqcZNZjDqdDovFgsVioaqqCp1Oh9lsjrGKvV4vo6Oj+P1+4G3L2GazYbFYkpJxLqzUXBFlLseSZTnlwyfTwo9QKEQoFGJ0dJSGhoZ84cciQp50lwCSFTREo9GMbhqdTjdnknK73XR3dxMMBlm1ahUVFRVzvlEVn65Op1MtXC0U7QfFMh4ZGVHJ2GKxxLgpzGbznOawUMi1pTsXxJOoLMt4PB71oavNNVb+zRd+HH3kSXcRI1VBg16vnxUFzyWcTifd3d1Eo1FWrVpFeXn5vMdMF0jLhIzdbjeTk5OMjY3R398fQ8aKmyJTwsilpQu5Ccqls3TnMla+8GNxIU+6ixCJyDb+RtTpdGrwLJeYmprC5/PR1dXFqlWr1Bba6bCQN6OWjKurq9Hr9aqbwufzqWQ8PDyM3+9HkiSVjG02m9qufikQhrKSydVYSkAuETIt/FBWVaOjo9TX1+fJeJ7Ik+4iQjYdGnIZHBNCMDk5SXd3N0ajkYKCAjZt2pTzGynXKWM6nQ6bzYbNZot5X5ZllYxdLhdDQ0P4/X7Vx6x1Uyy2FDbF/ZILRKPROY2ViIwjkQjj4+PU19fnCz/miTzpLgIoZNvd3c2KFSvSlurCjAjLfC1dIQTj4+N0d3dTWFhIe3s7NpuNv/3tb2mtpERjZVJSezTKgJORsdK52Ov14nQ6mZqaIhAI4HQ6Z7kp3inLeCHcC7lANBpVCzbmWviRJ+MZ5En3HUR8QYPD4WDlypUZ7TsfS1cIwejoKD09PdhsNjZs2IDFYlE/nws5ZuNHnS/mesPq9XqKioooKioCYGJigunpaVauXBlDxoODg2pZr8ViUV0UVquVgoKCBSWMXPqZc03gyR7CmRZ+aIN4k5OTVFdXYzQaZwXw3u2EnCfddwDJChq0UeV00Ov1WZOuEIKhoSHsdjulpaUce+yxFBYWztouW0LPpgx4MS3ntRF8LRkrUCxjj8fD9PQ0DodDJWOtVWy1WnN2Xovd0s0GqcjYbrdTUVExa7X2Xij8yJPuUUImBQ0K2WVycWdDjLIsEwqFePHFF6msrOS4446joKAgJ2Nng8VGuumQioyVHOOpqSkGBgbw+Xzs27cvxk1hs9kwmUxZkcVitXTnQrrJoJxf/HjvlcKPPOkuMJJ1aEh0oSh+2kxJN51PNxqN4nA46O/vRwjB5s2bE1q28ciGHGVZZnBwkLGxsRiySeQTXWqkmwx6vZ7i4mKKi4vV9/bu3cuxxx6ruikUMg4Gg+j1+lmWcTIyXqxEOdegXDbIpvBDC20ATzFqtL/NYkOedBcIykWibSWe7qmcTXAslTUajUbp7+/H4XBQW1vLtm3b2L9/PwZDZj93JpauLMs4HA76+vqoqqpi+fLl+P3+mNSteJ/oYssWyHWersFgmEXGMBNgUtwUExMT9PX1EQqFEpJxrlPGjEZjzsbKFYHPBZnkGgP8/ve/5x//+Ac333zz0Z5ixsiTbo6hzbHt6OigtLSUqqqqjCvHMiXdRD7dSCRCX18fQ0NDLFu2jO3bt6tEm01VWiqLVJZlBgYG6O/vp7q6mm3btmEwGAiFQrPIRusTnZqaYnJyklAoxPj4eEwOrWL5vVuRiowVN4VCxopQUCgUisk1NhqNWZNxLokyl1ZzLq35eDJ2Op2UlJTkZOyFQp50c4REBQ0KMWZ6s2QTHNMSdCgUore3V62z37Fjx6wbJBs/baJttWRbU1PDtm3bVCsqGUHH+0RHR0fx+Xw0NDSoZDM+Po7dbiccDmM0GmNcFFarNal1frQ6RywkDAYDJSUlMSQxNDREMBikrKxMJePe3l7C4TAGgyGhmyIZcu2qyHSllA6RSGTBrGan05lxQc87hTzpzhOpChqyzaXNZnulSujw4cOMj4+zYsUKdu7cmZNiCq2lG41GGRgYYGBggNra2hjrOVso4yYiG5hpEunxePB6vQwPD+P1eolEIphMphireLG1/Mkl0n0/ysphbGxMfVglI+Nck26q4Gu2Y+WKwOPhdDppbGxckLFzhTzpzhGJOjTEX+AGg2FBSFfRsvX5fBQVFamC16mQraUbiUSw2+04HA7q6urmRbaZwmg0UlZWRllZmfqeIhupiOA4HA6mpqYQQswK3iUSTl9qSEWURqMxKRkrKwctGYdCIQKBAD6fT/2e5urjXawBvnjkLd13IVJ1aIhHtqI06YgxXst2cnKSZcuW5WRsBdFoFLfbzdjYGMuXL88p2c616KKgoICCggJVdKe/vx+9Xq8uwZVleCLhdJvNllQEJ5fKYLnCXOZkNBopLS2dRTavvfYa5eXlajGMx+MhEonEuHEyJeNcEmUkElmwB7jL5cqT7rsFsizjdDqJRqNYrdaM8gP1ev0s1f902yeydJNp2XZ3d2c8djrSVTR6BwcHMRqNrFmzhpqamozHzwS5TBmTJInCwkIKCwuprKxU31eE0xU3hVarN766LJduisWYWwtQWloaU20IqCsHr9fLyMiI6saJ96lbLBaVjHOdfrZQlq7L5coH0pYy4gsaJiYmiEajs5Llk2G+Pt1catkmI11txkN9fT07duygu7t7wQJMC+1H1Qqna6GI4Hg8HrXU1+PxAKjLb4WQ3y0FDcnGMplMmEymGDcOxJKx1qduNBoJBoOYTCaEECkDnJlgod0L8ee12JAn3QRIVtBgNBpnJWanwlxJdyG0bONJNxKJ0Nvby/Dw8KyMh4UqYsglkWc7v0QiOMPDwwQCAcrLy/F6vUxOTqo5tPHBKSVtK9lccnVu7ySBJyJjxeg4ePAgMJNd4fV6iUajmEymWW6KTMh4Id0LeZ/uEoOS9hWNRmM6NCg3gcFgyIm7IBn8fj/Dw8NMTExkrGWb6U2qkG44HKavry8h2cZvm2vkisxzSd6JqssgeaaA0WiMcVEoboqlZOlmA0mSMJlM6PV6Ghoa1BQ1bYDT6/UmJWPFTaEl2YXMXohGozkrCFko5EmX1B0atFiIFDCtlm00GqW8vJx169ZlPH6mCfBCCAYHB+no6GD58uUp08sW0tJdTGlaqeaSLFMgEdFEIhFCoRCdnZ0xRDOXJfRiJfB4l0CiACfMJuPBwUGVjAsKCrBarfh8PoqLi3PuZlhM11YqvKdJN5MODVpka+mmShlLpGUbCASYmJjIeHylQCLVhasUTjgcDiorK1OSrXbcbMR0hoaGcDgcMU0l55OetJiRaAkeCAQ4dOiQmk3R39+Pz+dDluWEmRSpvv9cEmUuBdEznVc6MvZ4PLhcLqanp9UYiULG2r+5PrCUOSxmvCdJV8mxdTgcmM1mSktLM7qgcmHpptKy1SqQZYJU5BgKhbDb7YyNjdHY2EhTU5OqzpQOmVikWpnI8vJy2traCAaDsyLi2sIGYEHcFnNFLq1Kg8FARUUFFRUVMeNrMynGx8dj0tq0bgolrS3X/uFcYj7z0pLx+Pg4tbW1lJSUIIRQrxuv14vD4cDr9SLLMmazOaYUOt3qIRAIzAqgLka8p0g3vqAhEAgghMg42pmtpast1RVCMDw8jN1up6SkJKGWbbZ9zxKVDYdCIXp6epiYmIipUuvv759TiXE84sn2uOOOw2QyEQ6HKSwsjPFDa60bRXnL5XLhcrliSCdVLu1SQDKi1Ka1VVVVqe/HN9rUCgQpQjjhcPioiKZnilwSuLYMWJIkzGYzZrN51gNLS8ba1YPZbI6xihUynp6eXtTqYgreE6SbrKAhl+6CRFAsl4GBAfr6+igvL2fz5s1JyymztaS15BgMBrHb7UxMTNDY2DirSk2n02VcqJFoW+Wh0dPTQ1lZWYwmb7IbUmvdVFRUUFZWxsDAAGvWrMHv96tkrLRaj1clS6VHu5i0F7K1TuMbbSqIRqO8+uqrmEwmpqenk0pDZiqAsxjIOhEyCaSlIuNAIKCS8eTkJD6fj1/+8pfs378fn8/HQw89xLp161izZk3a0uVPf/rT7N69m+rqal577TUAzj//fA4fPgzA9PQ0paWlHDhwALvdTnt7O21tbQDs2LGDu+66K+vzf1eTbrIODQoMBoOaOJ8JsvV1DgwM4PV68fv9bNmyJa2SVrbdIHQ6HYFAAIfDweTkJCtXrmT16tUJb7a5ai8IIRgZGaG7u5uysjI2b96M2WyetU82xCNJUsJc2nhVsv7+/pj0LSXlK1fqWYutOEIR6K6uro5ZBSWThjQYDLMyKRbKj55LAp+P4E2yophNmzbxxBNP8OijjzIwMMDvf/97Lr/8ck488cSU41166aV88Ytf5OKLL1bfe/TRR9X/X3PNNTHB1ObmZg4cODCnuSt415FuJh0aFGRr6WaCeC1bq9VKa2trRvtmY+kqDRWnpqZoaWmhra0t5Y2RrfZCNBpVLduSkpKkZJsN0vmKk3VqULQFPB4Pw8PDTE5OIstyQonId0J7YaEzDpJJQ2o1F+L96Ip+scvlmnNgSjunXGIhiiP0ej0Wi4UNGzbw//7f/8t4vxNPPBG73Z7wMyEEjz32GH/84x9zNMsZvGtIN5sODQpySbrJtGxHRkYyHiMTn24gEKC7u5vp6WnMZjONjY0xT/xkkCQpo5tHCIHT6cThcFBTU8OmTZsyJtt05DPXlLF4bQGHw4EQgsrKSpWMJycn8Xq9CCFigi/aIFWi+eaCpBTYYnEAACAASURBVN+p4ohEmguKweF2uxkdHcXhcODz+YhGo7N8oZk+pBZCwHwhHo65Lox44YUXqKmpiTGaenp62LRpE8XFxXznO9/hhBNOyHrcJU+62oKGAwcOcMwxx2TcNykXpBsOh+nt7WVkZCRhsYFCdvPNjvD7/fT09OB0OmlqaqK9vZ3Ozs6srNdUhKeodnV1dWEymaiurmbt2rUZja1835kQai59sYl8fqmCVFqfqM1mW3TuBZh/yphSzFBSUoLZbKa9vV2dYzAYVP3oii9Um9amfUhp57CQZbu5RK7Fbh5++GEuvPBC9XVdXR19fX1UVFSwb98+zj77bF5//fWsg3dLlnQT5dgGg0FkWc642mUupKuQaDgcxm63p9WyVYJvmaZqxcPv99Pd3Y3L5WLVqlW0t7er281XmBzeJtvu7m5sNhsbN27E5/MxNjaW0bjZ4GgEdlIFqeK7NHi9XvR6PR6PJyPh9GRYjGXA8dap9iGlXRkJIdSHlMfjmSUQpPUTx89t2BXkpZ4pJGBHUxm1xbnR250rnE4ndXV1ORkrEonwq1/9in379qnvKUFhgOOOO47m5maOHDnCli1bshp7yZFuqoIGo9GoijpngrmQrk6n44033lDFktNp2SrWa7YBDp/PR3d3Nx6PJ0ZZLH7suZKuUpzR1dWFzWbjmGOOUQNbgUBgUZcBzwWJyn37+/sBsNlss0pZCwoKYrIoUmn1LiZLN9txtEHN+LQ2pcnm5OQkHo+HvXv3qg81l2zijhcn8Udmzv3n+4e49ew1LC9L3fhU+f3DUZkJb5hCo46SwtwE/3LpXnjmmWdYs2YNDQ0N6ntjY2OUl5ej1+vp7u6mo6ODVatWZT32kiPdaDRKOBxOKhqebQpYptsrFqfb7aauri4hCSZCtvKOsixz8OBBVcZx3bp1SY+TTV6vQrraSjiLxRJDttptF3sZcK7GMRgMCYXTtUvxeK1eLRmbzeacN7jMlaU7H/LWCgSZzWZ0Oh1tbW1qhsn3/9SDNxDGZhTIsmDCFeC/n3mdK3fWpmwlFI1GcYXgu8904/KHkQWc1l7Jh9ZUJZhFdpgL6V544YU899xzjI+P09DQwE033cTll1/OI488EuNaAHj++ee58cYbMRqN6HQ67rrrrjmJUS050lX63SeCYulmikwu7ngt20gkQllZWVZ9zzIhRuU4fr+ftrY2Kisr0x4jG9KVJAm/38/LL79MYWEh69evV6vEEm27mCrH4pEr8k5V1JBoKa74iz0eD263m6GhIXVVIEkS/f39MfnF7yQWSndByTDBWIilMIzNPEMhwh9GMs34guMFgrS+dIPBwJ8GomCJUlNsJhKVeerQGM1VVlZWzK+abC6k+/DDDyd8//7775/13jnnnMM555wzl6nFYMmRbirkMhshmZbt2NhYTkVvPB6PSrbNzc24XK6MCFcZO91DRhHUOXLkCMFgkK1btyYlWwXZWLqKROTg4KC6VFUsJKvVitlsVs9lsQneZAutv1iL0dFRxsfH0ev1MY0kFcJRvo94ta2FxEK31zmhuZx9fU4C4ZlrOyLDKetqWbasIma7eI1el8vFoDNElTzFVMiEyWgkGhGMu4PzJl2Xy7XotXQhT7qzoGjZRiIRmpubZy0fciXv6PF46OrqIhgMqseRJImOjo6s5BpTEfrExARdXV0UFBTQ1tZGT09PWsKFzCzdaDRKX18fDoeD5cuXs3Xr1hitAUUoPBAIoNfr1WVqKBRaUD3VbJGLpbxOp8NsNs9qnRTf202rKaAN3Gn9xbl6KC10p4cPtJbjj0R5/MAwAP+0vZYTmmcvteMFglwuF8t7DxM2WDEbIRAM4vWFGO7t4OVRUn436bBYtXQlSZKE5oddHFd+Fkh1k2TrXlDGU1rxKO1vmpubk/5482026Xa76erqIhwOqxZ0ou0zudCSZSRMTk7S2dmJyWRi7dq12Gw2QqFQTtLLZFmmv7+fgYEBli1bxs6dO9Hr9YRCIbWrgNVqjWn1E4lE8Hq9OJ1OQqEQr776KpFIRA1WzeUGywUWOmUsmSi4Usbq8XhiRHAsFguhUEgt+tCuErLFQuvySpLE6WurOX1tdZK9EiMajXLG6iL+OGTA6Y8gS2bO37mcD7VVpvxuMul7Fw6Hc9axOJcQQghJkgqBFqBgyZFuKhgMBoLBYMbbK9Vre/fupaCggNbW1rQ5d3Pte6Yl20QWdPz2mWQ7xBP61NQUnZ2dGI1G2tvbYyq7si0Djt9WlmUcDgd9fX0JW7Gnch0oLcUtFgsTExNs2rQpJlgVf4PF59Nm2z4nGxxt7YVkZaxKtsD09PSsVUL895HJtZFr90KuViaRSIQqm4mvnrKSSW8YsyZ7IdV3o6S1Jep75/V6sdvt6PX6rH6LRLoL3/rWt7j77rvVTI6bb76ZM844A4BbbrmFe+65B71ezw9+8ANOO+20tMeQJGkzcDJgBUqAyiVHurmwdLUR/FAoxPr16zOq6oLsLd1wOIzD4aCgoIDm5ua0Pqe55N5OTU3R1dWFXq9nzZo1CXu4zTWnVxE/t9vtVFdXs23btjnX92uJOVWwSqu/oIi+KDoDNpsNv9+fExJYTMURSraA0WikublZfV9ZJSjt1Xt6etS+ZdosivhS31yTbq4sSIXAjXodNRnm9SbzpSvXyqFDh3jppZcYGhriuOOOo7CwkM997nN86lOfSjluIt0FgKuvvpqvfvWrMe8dOnSIRx55hNdff53BwUFOOeUUjhw5kokLZwNQCvQAzwKjS450IblVlc7fmkjLVqnAyhTKUjodnE4nXV1d+P1+ysrKMq7uykZ/wefzMTo6SigUoq2tLWXDzGyCWArpDg0N0dPTQ0VFBVu3bp13RD6TOSTqZQYzDy8lhcvpdBIIBBgZGYmppnqnJCJzmTIWP46ySkjUwUL5PhwOBx6PByGE+n0o+eq5IN/F2glYuVa2bdvGhg0bOHjwIHv27MHj8WQkZJVKdyEeTzzxBBdccAEFBQU0NTXR0tLCyy+/zM6dO9Pt+nshxAPaN5Yk6SZDMtJNpWWba3lHp9NJZ2cnMOMbDoVCOJ3OjMfPhHSVY8iyjM1mY9OmTWnHzZQUlAo1Rd1fK+GYC8zVujQajWo+reLiaWhoUAN32moqSZJiLMBkKVy5IstcjpMpTCYT5eXleChk95shJrxFNFdZ+HhrGVIkwNDQEC6Xi8nJSYBZWSXZ6PTm0mpWfPm5htPpVB9MiR7a2eDOO+/kwQcfZMuWLdxxxx2UlZXhcDjYsWOHuk1DQwMOhyPtWEKIYUmSdIAe+AhQ9K4i3Xj3gizLDA4Oqlq2icRb5pKNkGj76elpurq6kCSJlpYW9QJQWpJkilQZCQrZKscwmUy88cYbGY+dCtoKtaKiIiwWi1q3nyvk2gJNJhKulYiMT+FSbkhFIjIXyGXpbjbk5vSHufuvfRh0ElVFJjrHvPzioMznTmjE7/djNBqpq6uLcdnE6/RqFdqS+YtzbekuROZKrjIXPve5z/HNb34TSZL45je/yTXXXMO999475/EkSdIJIWRJkr4KfBiILknSTedeULRs+/v7qaqqSqllO98qNsWfqtPpEgbi5tLiJ54MXC4XnZ2dCCFiCF3RmpgvJiYm6OzsjKlQe/HFF+c9bjyOVp5uMolI7ZJ8YGCAyclJRkZGGBkZiXFRZJs18E5ZzMOuIKGoTLl1xpCoKSrAPuEnGJFjtBeSuWwUf7HS8VjxF2tbLNlstnnp38ZjocRzXC7XLBfMXKDNurniiis466yzAKivr1fLxgEGBgaor69PO54QQrlBrwZWCCHCS5J0k0FJOXnppZeora3NKOgz17xbJVPAYDCwevXqpFkP8+mrppCtLMu0tLTMepJnK3oeD+UcTCZTygq1XOGd7mSgLMmVzJHu7m6KioqwWq2zqsyUrAEt+SS7lnIlEZmtpWsx6YnKIAuBTpIIRWQMegmjXpfRWIn8xfEtlvr7+1XZzPiuHnPxny9Ujvb09HROSHdoaEgVzXn88cdZv349AB/72MfYtWsXX/nKV9Su2tu2bUs7niRJBYAFeAFokCRp6QbStNBq2QKz0plSIdvuEW63W+3YmyxTQIu5kK7X6+WVV14hGo2mzHjItqeaAqfTSUdHR8psh/cKtIIvWlWyZFkDSudabZXZO2XpNpSa2d5Uyp6eKXRv7bdryzL0ulg5Uac/TCAsU241YtSnJmIprsUSwCuvvMLatWtVpbZ4/3mmLZZg4SzdXOkuPPfccxw4cABJkli5ciU//vGPAVi3bh3nnXcea9euxWAw8MMf/jDteUiSVA78JzDKTMrYfcCvliTpKkikZbtnz56snqSZWLpKKW1XVxdGo5HCwkI2btyY0fjZkK7b7cbhcCDLMuvXr0+bXpbtcj0ajbJ//36EELS2tubEMlDgcrnUwN7R0F5dSO0FSG8FKv5in89HKBSioKCAUCikEs9cGkoms06jsiAQjlJo0qvkCjO//7kba9lYX4wnGKG2uIC6ErM6liRJPPX6KH94cxxJgkqric+8fwUV1uyyUBS51IKCgllqZPEtlrQpfvFdPYxG44KRrtLLLBsk0l24/PLLk25//fXXc/3112dziCDwDDMpY8PMEO+6JUm6oVCIrq4uxsbGZmnZKtZfpj9sKtIVQjAxMUF3dzcFBQWsXbsWq9XKSy+9lPFcMyFdj8dDZ2cn4XCYqqqqWVVMyZDpTa2MHwgEMiLzbKBYzTqdTrXSZVmO6d4wFz9pKsxnnCOjXm75fScT3hAbKnX83xMzF6BOZAUCatqR2WxWu27EE08mWr0KUWrROerhob8P4g/LlFuMXLy9ISa/VZIkWqtnu4Wi0Si90yF+/8Y4tcUF6HUSY+4Qj+0b5HMnrsz4nJV5JXNVZNJiSdtKKBAI0NfXp7p1ctViyeVy0dLSMu9xcgwJeEwI4dW+uSRJV+n71NLSklTecT6kqy2eKCwsZN26dXP2d6YiXa3+QktLC+Xl5QwPD+P1ehNuny18Pp9Kti0tLfj9/pxZtx6Ph46ODmRZZvXq1VgsFqLRqGp9J1Lj0uv1aiPNuQqGzwfDrgAXP3AAXyiKABzT4JcH+ffz5i8rqLgntIGY+N5uHo9HbZsT7xtVSq+117MrEOHBlx0UGvWUWoxM+sI8sGeAaz60Cr0u9YNHlmWm/FEkULcttRjomwrM6fyyfdAlayW0Z88eysrK8Pl8Md0rMm2xlAyLVHehBrhKkqQeYB9gB3xLknSrqqqSWqdK2limuYBaUozXms1FcCnRheP1euns7FTFbrRW03yDYzCj/dvV1YXH46GlpUVVSFOKHuZjWWiJvLW1VbWataLyqfyke/fuRQgRIxiuaNQuhFWsxfOdk0RlgeKYCEXhT13Oeftkk+2fjHi0+gJjY2Oqb9RoNBIKhZicnMRqtTLuiRCVBdaCGQOi3GJk2BnEG4pSbE5968qyTGVJAYIZ94ReJzHti9BYnlpkfCGhXIPx1Z9CCFUwPVWLJUWjN9F3netWPTnCEDPuhQ8ADYAP8C9J0k11g8wlBSwcDjM6Oqq2rNmwYcMsYe9cwOv1qlVqimUbfy5zDY7B200rnU4nzc3NswTQsykFTja2soxTiDwbGAwGDAZDjBq/VplMsQj9fn9M9oDyN1+r2KjTzSz4NNDlgNxzpb0wMjKidjvu6+tjzB1kfCKKFDJhKSggKhkw6CQKjZk1k2yrtnJKWyV/PDKBToJyi4nzj1uWdt+jDaWYJVGLpXSt55V8a21xxGKBEMIH/Ab4jSRJW4FjgPIlSbqpoJBoJlACZE6nk9HR0YRdFFLtm01Fz8GDB/H5fKplm2zfbLMdYMbH3d3dzeTk5Kw+alrMhXRDoRA9PT1MTEykHHuuSFbgoM0hHRkZoaurS12aw8zv7PP5slqGfmhNJf/5ZzvhaIioDAV6ifM3ZqZdnAq50l5Q3A5a36SxepTfvDqMxxMmGvFxUj28su/vMauDRMtxJU/3rA01vK+5nGAkSoXVlDZ7YTEhlb9YSWmz2+184QtfYHR0lC9/+cts3bqV448/no9+9KMpx04kdvO1r32N3/72t5hMJpqbm7nvvvsoLS3FbrfT3t5OW1sbADt27OCuu+7K6ByU4gghxF5gLyxRn2460ZtMshFGRkbo6emhuLhY7aSQKZRS4HSWl8/nUy3bTLtBZEO64XCYQCDA3r17aWpqoq2tLeX42ZCuEILOzk5GRkZYuXIlq1evPqp5tsmyBwKBAAMDA2qnDZ/PF5P8nyqntths4Of/vJn/+Ws/o54gbUVhzj2uZtZ22WIhU8ZOaqtm3bISXIEIFVYTpRbjrGaSw8PDBAKBmPLnUCikqtWVWYzA3ESKEgX35opclRNrS8IbGhr4y1/+woc+9CH+67/+i66uroxiIonEbk499VRuueUWDAYD1157Lbfccgu33XYbMFPSf+DAgazn+lY1msTMGksAuiVJuqmQLhtBIduSkhI2btxIYWFh1tVXSilwMtLVNpVsbm7G7XZnvBzPxKcbiUSw2+2MjIxgMBgyVv7KhHSj0Sj9/f14vV4MBkPSLsfvBBSruLi4GJPJRGNjI0BM/mh8Tq3WPVFYWEiF1cS1H55R8ero6DjqmgnafQ4Ouhl0BlhWYuaY+uKkpFRVVEBVUWzGQqJmktrvIRQKcejQoYQVZplmDDj9YQYmvQz7ICILDGmCd+mwkK3cQ6EQra2trF69OqPtE4ndfPjDH1b/v2PHDn7xi1/kZG5vCZgrF8nSLANOBaPROKvYQRG86enpoaysLKEGQzZIRuzadulan2pPT09WwuTJLF1tEcjy5cvZuXMn+/bty1o9LBG0erl1dXUUFxfT0NCQMeG+k9VmiTr9xuv1agNWCvn4/f45+8/jke35P7jHwS8ODM3cihKcu7GOM5qzz+3VQvs9OBwONm/erOYWK2Tc39+Pz+dTFcmStVYacgb4xStDBMMRxsYjBP4xzMePqZmXeyKX5cRaLERp+b333sv555+vvu7p6WHTpk0UFxfzne98hxNOOCHjsSRJagJcQogJSZKqliTpZhpIU6LkdrudsrIyNm/enJRss1n6xLsAAoEAXV1dKtnGdwqejzA5vG19OhwO6uvr2bFjR0xd/VzbsEPsA6mqqkq1micmJhZ1c8p0SKbXqwRn3G43gUCAnp4eNQ87vtIs0+sh2zLgMXeQXx4YoqjAgF4nEZUFvzwwxNaaZVhzvKrQ5hZrhfO1TTZdLtes1kp/7IsgJANVFiN6m4HeST89E35WJ8gJzhQLJXajIFcP/n/7t3/DYDBw0UUXAVBXV0dfXx8VFRXs27ePs88+m9dffz1twwPFnwt8BfgJMAHcsCRJF5JXYykpY4rwdnl5eVp5QsVHm+mNoxC7Nltg1apVSduyZ5NRoSVdrXBPXV1dwvLmbFLM4sXJx8bG6OrqorS0dNZ3dLTEaY42tMEZt9tNbW0txcXFCSvNgFkZFLmQiHQHo+h0kpo/q9dJ6HQSnmCEImv6a3DQGeC5IxP4w1E2LCtia2Np1oSTTBhcCWD6uvsh4mXEFSQUCuP1RujqCVAsl2f9UFKwUO4FRUEuF7j//vvZvXs3zz77rPqdKg8tgOOOO47m5maOHDnCli1bMh32ROAbkiS9n6XYOSIVZFlmYmKCoaEhDAZDxlqwCilm+sMJIbDb7YRCIZqamtJG9LMJjklvtcoZGBigt7eXmpqalD7bbFLMFNJVVMWsVqvq10627WJFLh8IySrNZFlWl+VaiUjFR6r8KUUhmaK+1ExRgQGXf6aFuScQobjQSLVFT7phxj0h7nupH4NOwmTQ8duDo8gCdjTlpspQCWBubYmwt3eashLB1LSTAnMxq2ptBIPBmIeSVqc3ne7CQrkXnE5nWqszEzz99NPcfvvt/PnPf47JYhobG6O8vBy9Xk93dzcdHR2sWrUqm6EngTOBi4EfLVnS1Vpiim5ub28vZWVllJSUqOkdmSBTSzQYDNLd3c3IyAjV1dVs3rw54+BYJsSoLRrw+XwZdWvIhhxDoRCHDx/GarWmLfzIxtL1+/10dHTg9/spKiqa0xI9G+Q6ZS0ZdDpdSolIj8dDX18fExMTuFyumHNPRUAFBh3/9tE2bvtDF31TflaUFXLtqc1I3nH+2uen780uqm0mzj62Vu0fpqB73Es4Kqh+K7CmlyRe7p3OGekq2LmqjIgs2N8zBpKOczYvY1Vl4nY5yVoraQN3mWb8zAW5Eru55ZZbCAaDnHrqqcDbqWHPP/88N954I0ajEZ1Ox1133ZW0x6EWGlnH7wEfB1zAH5Ys6UJs8KeqqoqtW7ei1+vZu3dvVuOkI91gMEhPTw+Tk5M0NTWpZJLpzZ+OdJWsiu7ubsrKyrBYLBlHYTNxL7jdbjo7O/F4PDQ0NNDU1JR23EzIXNHAmJ6eZtWqVZjN5phkdp/PhwCMZiuVpTOEtJhcFnOdS7xE5KFDh9Sgo0JA/f39hEKhWcLp7oiev/ZME4jIfOHERtbWvU3o/7nXyR+6PBQWGAlHBS/bnXz3/7RjMb1tHRp0sQ/DiCxiPp/PeWlh1Os4ua2SDeUCj8dDU+XsB3QmrZW0lYfKdzc6OprT1kpzKYzIRuzmnHPO4Zxzzsl6XpIkmYUQASHE7yRJelEIMSVJkrRkSXd4eJiOjo5ZzRKFEFkvi5ORrpZsV65cqebBDg4OZtV1OBnpav2qJSUlaqAvmxS2VO6F+JLd6enpjMujU1m62pS1pqYm1qxZQ++El65RLysriljxVqXd7tdG+PdnuwlFpmgs9fKlrTYCfj8vv/yyWgjwTvY2yxWEEDEVdFpotWlf7ejlp/9wEpHBbNLz4uEhLtxcw/aWGgxGI890uSkxGyg0z1zLI+4gBwddbF/5thXbVmOj3DrFwFQAo14iIgvOXB/bBj2XubVz8cNq82gVCCHo6elR9SjiWyvFd3/OBnNRGFtoSDMt178qSdJ3mJF3dEiSFAKcS5Z0rVZrQl/nXC62eNLVVmFpyVa7veLTygTxpKuol3V1daX0q2aCRBapkk3hdrtjSnadTue8Mh1kWaavrw+Hw6GmrOl0Oh78Wx93/8WOBDj9EQr0ElazAU8witmow2LS0++KcP+hCJ9utrBly5aY0t+RkZFZpb+KCtVCRruPhg6u1iru8BVSVKqntriASCTMpCfAc0fGKYlM4Q8ECIXChHQyOgn0+pnzluOee9YCA5cfv5wDAy5CEZnWaivLy2KvHW3XiPkiV8EvRXehrKwsZalvstZKFosl6TycTmdOlfNyBBl4kZmiiG6gEigCrEuWdIuLi3OWY6mQrkK24+PjrFy5ktbW1oQ+yWR90pJBS7qTk5N0dnZiNptT+lUzJQQtOWofFolS13LRhr22tjYmi8I+4eN//tKLUadjyhciGJEJyyBJ4A5EKTCYkHQSZgO8PuSB5pn9UpX+KspkyQRxFpOLIhiRGfZEsHlCrCgsTKvlEJEFE94wkgQF5kLKrEaOPXbG3XPC8H5eHAgSDUUJhkNY9ILQUAeveWODVdaCAt7fnNynmMtGkoqWbi6QKJCWaWslr9cb0+1YK47kcrlyEkjLJYQQQeBZSZLKgP1CiOeUz5Ys6aYiJCUDIJsLb2hoiL6+PhobG5OSrYK5tPiZnp7m73//OwaDgbVr16bsVqqQdCYXu16vJxwOZ1Syq9PpMp638h0e6Ohn75t2lleVcvJbgb1IVOZHf+7mL12T6Hhrea3TEYzI6N/yORr0OiBKKBLFqDcQjgrKLUbeLsyZjWSlv/EykR6PB5i5MbXJ/dlaZPO1dKd8YR7++yDdAwFKJ0dYXx/goxtqksourqywcHDQhS8URULCYtLxnY++HfA9p72I5ZXFHJ6MUmUzsWvLMiptJlWBS5tPGx+s0orH55J0o9Fozrr3ZhNIi/ebw+xrYXh4mBtvvJG+vj6WLVuGXq9nw4YNvP/97097LSTSXpicnOT888/HbrezcuVKHnvsMcrKyhBCcNVVV/Hkk09isVi4//772bx5c8rxJUnSCyGiwBbg34BtkiTZhBCeJUu6qaCQYjrfUDgcxm63Mzg4iM1mY8uWLRldrNmkgLlcLnXJtHHjxoyeyJlapEqvtunpaZqbm9OW7CqarZkgFArxyPMHebwbTCYj9LoZjA7x6fc1cuvvO/jdwWEkCcIRGU9ohiR0kkT0rX5dFqOE26BDMON31Oskbji9BUY7s1blipeJHBsbw+l0UlFRgcfjweFwqJZQNilMmWLSGyIUFVTZTDGE+uzhcXyhCBWFOqqKTbw+5KatxkZ7beIH6tOHxrCY9FhNBqKyjCyge9zHtrd8tjoJzlpbwafilsqJFLi0Wr3xqwKTyUQoFMLv989bJjPXnYDnM1aia+Hxxx/nhhtuoKGhAbPZzBNPPJFRtVgi7YVbb72VD33oQ1x33XXceuut3Hrrrdx222089dRTdHR00NHRwZ49e/jc5z7Hnj170h2iVJKkc4BPAmWSJP1fwChJ0uSSJd1MqtKSka5CtqOjo6xYsYJ169YxNjaWdXFEKigi39FolGXLluH3+ykuLsbpD/P4gSGmvCG2N5VxfHPFrH3Tkbo2a8NisbBy5UpWrFiRdt6ZkLnb7ebIkSNMuzz8tldHqc2MyaAjKgt+8YqDD7ZV8ruDwxgNEjppJldUFjPLbFuBHlcwQkmhgWAU3tdUyoVb6/EGo6yts1FXYmbfWG6KLvR6/axgTXwKkzaDYC6pbEII7nmpnz+8MdPuZkVZIdd/pEVN45rwhigyG5h0CXSSDr1OwhVIfl04nAFsBQZsBTO3ndMfxuF8W1Q8Gws1mVav3+9XH0odHR0xVWaZdrDQIpeku1B5un6/n+3bt3PiiSdmvE8i7YUnnniC5557DoBLLrmEk046idtuu40nnniCiy++GEmS2LFjB9PT0zENLJNNCzgE/B0Y1mfjXwAAIABJREFUACqAcqBlyZJuKihVafHQRt21gSCXyzVnH208tALlimbu9PT0TNAoEOGzPzvAsGvmRvvtwWG+eNIq/s+mWI3TVNkOSlmzUrI7Pj5OIJBZN4BUpKtkOgSDQVpbW+nsH0EwiskwQwJ6nYRep2PSG3rLhYCqTWs26vnqqc0cu8yKLyxzZNRLcYGBnavKZtXqL2Slm5LC1OcW/LrLTVS28tENTaytLsTtds+qNlMKHcrLyykqKpoVlP1r9yS/PjCM1aTHZNDTM+Hjnhf7+cqHZhLjG8sK2T/gQsiC6Ft/1UXJV1ftNTbeGHJjNekRQCgi01bztlU8X3eHYgmWlpYSCATUXHWtTGaiDhapMkiyqdRMh8WUp5sIIyMjKpHW1tYyMjICoAaOFTQ0NOBwOFKS7ltaun+RJKkTqBJCHASQJKnhXUm68ZZoJBKht7eX4eHhGLJNtn2248Pb3Rq8Xu8sgXKFRP/aPcGIO6haSqGIzL0v9iYkXS05alPLysrK2LJli2rFz6UiTYtgMEhXVxdOp5PW1lY106F4bJzSQj1Of5iSQiP+UBQdsLLCysU7VnD/S72EIjMRs0qbiZPbqijQzVhqq6uT+6sXGm8Me7juiTeRZQGSxB77NDeduZrjVlTMqjZ79dVXMRgMjI+PY7fbY5TJrFYrv35ljClfGF84CkiUmg10jb+dtXLS6gpcwQh/G5PRecOcsqaSporkesyf3FzHwLSfv/c6Z/ZvreAja992GeTKFxtvnaaSyYzPINHm3tpstpxapwvZCTjX2QtKB5R57K/4dM9iRlfzoCRJnwc+v2RJNxNNXS3ZNjQ0JPV5Zku62mNr9RdaWloSauYqpBuWYi08vU4iFJ1t9WmJVFuym0gdba4ZCZFIhJ6eHsbGxhKWMhsNer564jJ++PIkw84A1gIDN57RRoXNxBXvb2RZqZkXuyapLjJx8Y4VFJkNhEKhtHPIxNKNyIInXxvljWE3y0rMnH1sLUVp2tMo2H1whKgs1AebOxDhVweGOG5FbPK8NyRzcEKmXDJwzIoaVq8ujFEm6x2dpn/ChYhGkXQzZb7Drgjra82qrKfZqOe8zctoiAyyeeNKzKbUZeQFBh3XntrMvj4nd/2lj+e7JhmYDvCVD62itrggZylsmZB3MvH4aDSqEvHo6ChTU1McPHhQ7WGmpPJZLJas55qtMFCmcLlcOSHdmpoa1W0wNDSk+o3r6+vp7+9XtxsYGKC+vj7TYXcAz0iSZAO2ApctWdJNBZ1Ox+DgIB0dHSxfvjxGlSsRsiVdmLmw33jjDaampmhubk6pv6CQ7pZVpRQYdLgDEUx6iUBEcNaG2oTbO51OOjs7MZlMKVPLsgnqKWRut9sZGBhgxYoV7NixI+GNIEkSdUUG7rt4E75QlEKjHt1bQSRJkjhrQ23M3N1uN1NTU2l9pqlINxSRkST477/08VzHBGajnn39Lv7hcHPzx9pUV0cqxI8sSbPfcwci/OBPPfQMBSmanOK5bhefeV8jrdVWVZksYLDSXBfBVBBgYNpHJCKj18HmCpl//OMfMalsUjRMNBxCGA1picjpj/CD5+wIIai0GOmb8vOvTx7h0h0NdI4EKaqOMM+2fPOymPV6fYxV7PV6WbduHbIsx5BxvEym8pcr4ZlsoHQQmS8+9rGP8cADD3DdddfxwAMP8PGPf1x9/8477+SCCy5gz549lJSUpPPnajENrANOATqFEHuXLOkmurgjkQj9/f309vZSXFzMzp07M1rOZBvV7+npwefzsWrVKtasWZNxN4jaEjM/OP8YfvhcN5O+MO9vLufSnY0x27rdbkZHRzEYDKxfv35W/mKiuWdi6SpNN0dGRrBYLOzYsSOlf035TiRJwlqQfLtgMEhnZydut5vy8nLVZ6rckNoAlsFgwBsWdI75qCoWqjB3OCpz70v9PN85iRAzlVitVRb0b83BMe2nY8zLurdKZlMR95nrq3mhcxJXIPKWVL/g7GNqcPpnfPzFZgMHBlxM+MJUWfWUFpnwReB3r4/wPn85494QDSVmWqutlFmMGCQwG3UMOgOUW4z0hKysW11DS5VVTV+KRqN0dXXNClopVqH2Guyd9DHlC+ELyQigqEDPG64Af+6YxD0VZuzVcc7bUkBdSWIJ0r5JP/YJH5YCPevrijAbZ1/fuU4Z0+v1mEymhDKZmYrHL5QQvnIdZDt+Iu2F6667jvPOO4977rmHxsZGHnvsMQDOOOMMnnzySVpaWrBYLNx3332ZzEuxhB4CzgEswO9gCefpwts3XzQaVSul6uvrWbNmDW63O6f+I23GQ2NjI1arlbq6uqwFb1qrbXz/vGNmbePz+ejo6CAUClFRUUFZWVlawlXGTkW6QghGR0fp6uqiqKiI8vLyjBSStC6OUERGFiLmBte6J5SHTzgcVi9+5YZ0u91qj7POyRC/7gxjNB1GbzBw/uY6Tltfx+6DI/y5Y8ZVEY4KOka9TPrCVNk0ot4Zxt7W1RVx88fa+NU/hpFlOGNdFf9wuHnwZQcScNyKUpaVmNBJgJjx+xp0sK/PxUGHG71OQhaCjx1Ty+U7l/OzvYMcHvXSXmvj2PqZdL8/vDlOc5VVTV+y2+0Yq5sYmgxgM0F9iY5wwKemsiktxm02G/YxmXFvCFuBAR0So+4QkiRYXlbIkF+iwCjx914nHz1mNum+Nuji5/uHMOh1hKOC/X0uLt3RMGsFkEvSTeUSSCYerxQ2uN1uxsfH1cCl3++nr69vzuW+qZCtqyOR9gLAs88+m3DsH/7wh3OZk04IsV+SpGHALIToliSpZEmTrpZsly1bplpvk5OTWbsLkiFRtwadTofD4ci43DLVBaEt2VUCWb29vVm7DBJhcnKSjo4OrFYrmzdvRpZlDh8+nNG4kiQRlWX+68/d/HL/ILKA9zWX015r46+HhzBE/Hxq+3LVPRFf7x9/Q4ajMvf/8hCFJielNiOhcJQHXuxBmurnOXsUKaojGBQYDQbKCg2MukMUGPQEIzINpWZashDP3lBfzIa3CPKp10c50O+krsSMAF62T/PB1TNBTndIxhSKMuQOEwhHWVluRZJm8op/99oop7RV8vFjahAIaovfLhCY8M1kKuj0M+f72kSUgfEhzMaZ+XaUFXLR1no1c0MrGD7uHKHcBNP+EJIEURkqrEYi4SCyLGPU6wkneYj+7xvjlFtNqsDNwFSA7nEfa+LygnNJupAdoSWTyQyHw7zyyiuqQH4ymcxslekWKg0tF3irP9pO4IPAByRJupSlrL0AcPDgQYqKimaJeydLGUsHbSBD6dYwMDBAQ0PDLL+wUgo81x9c6eA7NTU1SwA9Wz9tvKXrcrno6OhAp9Oxbt06tfotEAhkFXR7ocfNL/7hessqg6deG+b3r8n8f/bePDqyu7r3/ZypTs0lleapNXS31KO77Xa3MTbYBsxgRuOEwfhCLiGQgft4CbksEh55XBLAcEMW911YeVxIuA48BgdwnFzCYGzM0B7abvfodmueZ5VqrjrzeX+UTrmkltSSWk7cXnevpeV2qXTq1Bm+Z//2/u7vtynqQ5BU/tuTSf57ZxvVwcsPIOR1G8N2CSoSftVPKChhSQYdPZ30uHPMDSziOg75QgG/YNIVFYj4DJobAvzWtQ1IOMDmgWQ4UUASBUaTRQRKzayMZvP7N+/gf/4iQ8An8eqeKL/oW3z++AsALqbtUBNS8Eki6aJJWJWZzxp0xANlQLUdl7PzDvu71KUpPJhIFplK67THA+Vj6Q047M4qdKemCSgSBcMiXdAxLYux6QSFos5sfpLbukKMjZmXZIS65RALPH+di0Kp6bgyXmiHhq2E67r4fL5ltdDKrHgr4vHAi3IEGEAQBGHJG+2TwP1AFyC6rlt4cZ2ZTcbhw4dXre1tpTHm/Y0kSWW3hsrsebX3b0X7wVuWz83Nreng6432biQqQbeyRNHd3X2J3N1mmA6CIHBhTkMUwHVsCrqOZjmEfDK1sRKIJ/IGZycy3NJde5mtQdgvE/XLzOcdokDRtBEEqAv7eOf1rfTNFVksmLiizP4dVfzZ7Z1gLXmcpROcmRgpN6+8erOmaajq+r5ifkXk9GRmCUjBcQVe3lXNzroQv70nQHf3DlxJ4dR4hoVcadghkTdpq/YTUER8ssSdhxr5ee8CyYLJzroQt3U/n8F5joNixaRaKYNdvR5ytD3GybEU40kNSRJpqwnz29c2MZIo0j80xB037KclLCwTgDEMA1VVafFJnJu1aYgGsBBRFZG26kvLENspeLNdsZqR63ri8d6Qy+LiImNjY6vKZIZCoW3j6G53uM8DU5fruv9TEIT/CMzCS6SmuzI2YsO+MiRJYnx8nOnpaRoaGla1xln5/s18hidtNzU1tSpXeOW2N+w0IYrktZLzayaTKdPWVovN0suqfS5FzUBUKI2T5ouX1A/FDTrEyqLAh2/p4K8eTDGfM/ApMh+6eQfxUCmD+exb99A3l0cUSvKFqiwC6iX1wmKxyPT0NKlUit7e3rJottewi0Qiy5aoed1GlUUcBxxcFFEgpz3/QBMEAb8i8Sev7uLbT0/RP5enaFjols1fPzzMu69vprMmyHuOrk4RkkWB3VUikymNqoBCwbSpCio0x1bXKwgoEn/4yg4G5vNYjsuO6gCTqSKxoEJ7VKSnMYIgCMvq+V5G2JTOoPbN89xMGh821zdKTI2YZFawB7a7vLAdsRmO7lo6vZVZ8fj4ON/61rf48Y9/jCiKfP7zn+fQoUPcdNNNG+qFAPT29i4znxwaGuLTn/40qVSKr33ta2Uq3Wc/+1nuuOOODX7TS+K4IAj3AG1ApyAIO6960F0tNgOI3pSXpzW7UTvzjWbTnvWOpw1wOfoabHzg4aFnp/mvP+0jrxvsa5L53F3XUhtZW5xkJegWDJtfDyRIF032NUU40FwCuGKxyOjoKNfGilyoD5dqnpZLXVhFlQVSBRPLdqmPqlzbtnHx6PZ4gA9fHyHe2EpDdXQZgAd9EodbL2v0RzAYLGfwO3eWrNRXOjnk83kAwuEwiymD1ohMwRbQTAfTcembL2LazrIHdn1E5fdv3sEXHx6isyZASJXJ6xbffmqKj766c1WWgBfXN0jYtbUMLRToCgZ5xa74uu9XZZH9TRFc1+Wfzs5yZiKDKotMTltU9yV4Vc/yh6aXETbU1/HO+kst1z3Gy9DQELZtY1kWuq5j2/YVaRVvpy7vdtReV4rgfPazn+W2227jgQceoK2tjUcffZSdO3duGHR7eno4ffo0UDqWLS0t3HnnnXzjG9/gj//4j/nTP/3TK9rfpfgE8GeUstw/Bq69qkF3rdjIhVLp1hCPx6mvr6elpWXDPMONuEFMT08zPDxMQ0MDsViMtra2DV14l9u2bdscPzvAXz00QdjvI+qKjKVNPvvTPv7mtw6u+XeVKwPNtPnsj3sZSRSQRZF/OTvD+25ooVVMkUwmqa+vJxwO8/Vbejg9kcayHfY3Rfje05M8M56mpcrPh2/tKusIbDQUSaQ6IG+Ic7ve96iM1RSpbNvm3FiCudw4F+cKKCKElFLjCl3kiYsThGx7GfCmixaG7RJfUjwNqTJZXWc6o/PkcJKxxSKdtSHeeKB+mVuDJAq8bGecm9aRW1wtFnIGz05laasuidLoKXhsOMnLOqsvcYNYLdZiD1y4cIFQKEQ+n1+mVVy5NK9UJVsrtlvs5oWoM3vUzbvvvpu77757y9t5+OGH2blzJ+3t7Zd/8wZDEAQV2EcJeNsoaS985KoG3a08hddya+jr67viUWBv+x5FKx6Pl33O0un0pmzYVysDVHrBDesRAn4/kaCPTNakKqjw7FRm3ammytfPT2UYSxZpqSpNYiXSGb72yAX+5s4eenp6SKVSzMzM4JNFjnWU5O3+31+N8ONnZ3Fcl6m0xgNnpnn/y7fvIt3OmEgbfOWxGSxHIhbwkdQs4n6Vl7VHqfa5jC1kKKRzPDX1DJ3VPjrqosj+ELZlUjQkAj4ZzbQRgK//ZownRpNopotPEnhuJsv/9Ybdl9XOvVxYjosgPH9evO2t1hzbaHjjq56eRPmzLKu8GvDkMSupbN5PZY38ahC72a6a7ne/+13e/e53l///y1/+Mv/wD//A9ddfzxe/+MWtTrxFgP8A3AicoqSra17VoHu5qAQgz61hYGCAcDh8iVvDVjRyV2ajCwsLDAwMEIlEymBe+f6Nbn9leaESyGtqajh27BjyRBbOXyxnakXTIb4BFoEXhuUgAPlCnnwuj+r3E4pW0dzczHzO4ImhNKlkgbZOi7BfZiaj85MLs8SDCqIoYDsuD56e5m2Hmsp12Y3EdgneFE2H+56cYHihQHs8wG9d27RsVPj44CLTaY2AT0IWRXySQLpo0jdfBECRRRaSEsFggBNJgQ/VhwloOl0BncdHkiiSgE+RubEjyleeWEQQBUI+Ed1yeejiAv/xxrZLHBugdK4WCyaO41IVVC4R/KmM2rCP2rCP2YxGxK+wUHS4oSNARL0ycFqtkSbL8qqqZF7DKp1OMzk5ucxY0ufzYdv2ttSIX6hMN5VKbWYkd9UwDIN//ud/5nOf+xwAf/AHf8AnP/lJBEHgk5/8JB/96Ef5+7//+y3tHvB14G3AB4CzgiA88ZIF3Uoh8Eq3hmuuuWaZvbIXWxG98RgGqVSK/v5+VFVdd/sbbY6tdJro7+8nHA4vA/Kj7dXctLOGx4YSaKZL2Ofysdft3tD2XdelVjHQcmkMWSEerSatWdzeU8voYpG/+OfnyGoGhm7wxPyz3Pu2fRQMG1EQyo0zSSz9O2/YxEOUdQvWYxO4rstc3sFIFNkTCC01y0pjuYm8gV8RaYisz0aAEjPgH85kmNcLhP0So4sFRpNFPvG6XWWQm0gVsV2XgCIhiwIzWY2AT0aWBNKaRSKp0R6CcFCmYLl889QiHTVBEKvoaIlwsDnCsWY/5ycS6LZDADAMC0EQMC0YmJij1l+/7MFqOy6P9C3QP5cHBGpCCm86UL/mRJ8iidx9fQsP9y6UpvCqRN5+7cYGbtaLjYJkpT9ZQ0ND+XXTNMlmsyQSCTRN4+TJk8Byu/VIJLKp4Qbbtrd1GMKLTCbD/v37r2gbP/7xj7nuuuvKx6DyWPze7/0eb3rTm7a0Xdd1LeA4pWZaDSX62D9d1aB7OdGbRCLB2NgYiqJc1q1BluVNm02m02meeeYZAPbs2bNuAX8zjARJktB1vew0sZr2gigKfOIN3ZybyvDEM2d56y3X0rjG6Ghl2LbNU089RSAQ4C/ffpivPT7FwHyOHfEgt3XX8s0T45i2Q33YR140mcvo/PTCHG++ppHqoEJySUM2o1nUR1Qao2qZSeC6bpka5FmweIR3F4Gv/HKER55Lo/qK1EXn+L/fsBvTcXng9Aym7eK6Lte0RHhVz6WiQZWRKFiMZ0x21JVEV4I+ifHFIrNZndaqUvbZVh0gIIskcgamXfId29sQ5mBzhJFEgamUzlTOwWcWsV3QTZvDrVH8ioRlOzw5ksJyqvBJIQI+GXtJiN22HYI+gRB6Wa+2WCzS19fHvKFwdtKgoz6CKIrMZ3Ue6V3A75NIFSzqIz6Otlctq9dG/DJvO1TSsDhxYpbAOg24jcaVZqaKohCPx8vUvO7u7jVpXCtHftcabrAsa1v0EVZGJpPZtBPwyvjOd76zrLRQqZX7wAMPcODAgS1tVxCEeuANQBOgAiGudgv2tSKdTpNOp7Esi717926omynLcrnrfbnI5/OMjY1RLBY5dOjQhmpKkiShGSbTaY2IKhNeQzUrn8/T399PPp/n6NGj615QoihwqDVGfky6LOB629V1ncOHDxOJRDg5mmQqrRHzKyRyBp/+114Ciogqiwgl4YJSZlg08SsSf/WWfXzpkQFGE0X2NkX40I0tPHvuLLZts2/fvrJLQ+UYqEd4P7/g8PNBm4jiEFAgkTP4+mPjNEVVAopIXVjGdV3OTGbpaQyXwXPVYymW9q1C0hfXfd6e3AX2N4X5TdTPVEYHXFRFoiFaGjMeTxbJaRaODI0BgaJeUhHzih6posl0RqdgWIiqzLH2GGcns9guhHwS7z7SzLGDreX9OXHiBHV1dQwMzFPIZxkdXQTAERQujMOxjmpqYyESeYPjQ4u8uqf2iuvB68ULIRFZSeNqbCw9JNYablhNCOfFqqWbz+d56KGH+OpXv1p+7WMf+xinT59GEAQ6OjqW/W4jUXHcdgGvAgrAWeArrusuXNWguzIbymazDAwM4DgO1dXV7NixY8P0kY3UXDVNY2BggHw+T0NDA4VCYcMnfK7g8NnfDKM7Egjw/hvbub1CS7VSOGbXrl0UCoVNPcHXaqB5ermZTIbdu3dTKBTKx+SfzswQ9ElElx4AU2md2rDCVFpDEiR028EV3DItrLnKzxfefgDDMBgcHGRm+GJ5dNm7AWF1NsHQ05Mo41OIGBimgWPanBrMMRlWaYz5aK4umQyKIhSN9bnENUGFgw0+etM6PklEt2x214d5tC9B31yesCrTGPUR9Eu0yyVmgGbZDM0X0J08rgvtNQHmMkUW8ibXtUVJF22m0zpdtUHGFzXCPomakA9VFrmuLcarumtRFYn6iI99K8ZuBUGgurqafV0qA7lZmqv8CLj0TacJqwYYBcZHE9iOzYgt0SqmqamKEolEynY62yXrCNsHupfbzlrDDasJ4eRyOTKZDFVVVeUV0FapbJVxpVq6oVCIRCKx7LVvfvObV7RPFfX0WeAvXdcdABAEoU0QhPhVDbpeeG4NhmGwa9cuqqur6e/v33SNdq3lvwcynhdZXV1d+SLaSLiuyzeeSVLQXRqqAxiWw989NkpPY5imiFJ2IK4cB+7r69vwvntsh8rmieeSMTc3R1dX1zLpSe8Gdxx32WCtKLhc21bF/qYoP70wi2nDkY4ovbN5ogGFrpoAY2NjTE1N0dnZuSGFNS86aksW2iISiqKQshw0y6aQhWcTBdqiOt1VJQfh2XAGKRct35x+vx/bhZmMhuuC4rjctTfCFHHGEgXm8wbDiQJPjaYIKCIHmiOcmTTAhZcv0bgs26F/roBmObTH/ZybyhJCRw0GOdgSYyFnUOWXmUppSJLAkZZYuebsurCzLsjuVcTZK5uC7fEAL+us5uRYCoDupiqKhkVjVckl2LBtFjJFqmIB8vk8MzMzy5TJTNMkk8lsyWSzMraLX7tV9sJqVLZz587R0tJS1uutpLJ5WbGnyraZjPjFZr8+MzPD6dOnef3rXw8l/dw8MCAIwruAtwAnrmrQdRyHc+fOUSgU2LVr17Kn7WYbY6vpNXjKYvPz83R0dCwDmc3UaE3bZaFgUxMsXcAljqrLMxdHqHOT6+rabiQ8toMHvt4Ys6clXLndyqzq9fvr+dtfDWO7LpbjokgSL++K0xYP8pqeOH92/0kmU0VmMho/OzfBaxoNXr73Uh2KjcSx9iru2FfHD58ZJ5fV0SyXgCISCfkI+WUmcybt9dV86JUtNIWlZe6/2XyRR6cchjICmiMSD8i8Y6+f3Z1BGiIK3zoxhV8WiQUU/LLIczN5DrdG6J8roFsOqiyykDfZ3xSmdy6PIAjUh31MzLvomk1Ws3jTwQb2NYYxbYd00eLnF+eZy+q4LoT9Eq2rMBVg+QpDEASOdVRxqDWK7ZS+34XpHGenskgCOK7LjTvraKpd3mg1TZN0Os3i4iKTk5Nlt+NgMLhMGnOjjagrdT3wYjspY47jEAqFUFV1mWi6ZyXknetKg83K8sRaBpu5XG7dXs2/dTQ2NvLggw/yhje84SBwK/ALQRAU4E7g18Arr2rQlSSJtrY2YrHYJSdks6I3lSBt2zajo6NMT0+vCYiV7zcsh8eHF8kUTbobIst8rwAUSUAU4MJsEZ9iEfWBYxnEgzFednDzALYyPNCdmZlhaGiIurq6NceYvak0URS5eVcNkijwy/4EfkXkLdc00RYvAcIz42kKpkOTKpBOp5GRGRPquGeFLKRlOwwtFNAtm4agSFVo+USc5bgYlkNAEfmdG9vIJBeYN2TOzBSRRZGMZlIbUqkOOhxrj9JVVzp2lY4GT44kGR0eQ3dNFNFhaCHPZ3+ZY8/5JJYgM1eAHfEAtu0gLTWpXBdu6KgqMSNsl854gNfuqyM6kOAfnpwkUzTJGy4dVRK37o6XSwaKJFIb9vH6ffVMZ3RkEVqrA2s2uFYrC6gVgx/7myM0RFU0yybsk6kKXsrTVhSFaDRKIBBg7969wPP6A15dvNJOqBKIt2OJvlZsJ+NgLQBfy0qo0mp9enp6me289wDymCMvppHniYkJj00xRKl5FqFkwX7Gdd0vC4Jw5KoGXaDsS78yNstG8ChgY2NjjI+P09LSsm5G54GuYTl85se9PDeTRaAErn94Syev2P38KOf5qSymXcp4dUsnVYCbd8bpat+xYcDVzZJKV1iVVjUPfOrkMxyfk3k2qeAfzHGPm+LWVYRoKkeBBUHg5TtrVnUkzhX08lKwpqaGlGZzcjzDR79/jh3xIPccayPil/kfvx6hdzaLAPhlgd+/uZWGpVHkZyayfPvpaUzbZUc8wIdu3kHBgoawQmPUZWyxQE63yWg2uPCbwRSv3F1bttrxYi5rkNVs6iOlbCepuWQ0k87WJiTHYrQ3wUImh2PYDGdKNDFHE3nNgSiNNTEk+Xm+bHMsgLzUNNNsGJwv8vmHhvjT13RxXcVIc1VQWRUgV8ZGarG14csD18rtrKY/UGkn5OkUV06beWC8Xcaf/1726964d6XVOpRWBF7T7rHHHuMzn/kMs7OzvOc97+HQoUPccccdHDy49kTmatHR0UEkEkGSJGRZ5umnn2ZxcZF3vvOdjIyM0NHRwf3337/hEkY4HOaee+7hwx/+cF4QhH8Bbgb2An+19JboVQ+6a8VmMl1vZDeXy2EYxmXFbuB5Z4Wzkxl6Z3M0Rkv8Us20+caDL9uYAAAgAElEQVTjY9y8q6Z8Ez3y7ASiXapZJmw/8zmD05NZ/vQH5/nIbV3cuAroefsF8I8np/jHZyZxgX1NET52+27Cfrlsl14oFOhz6jk5n6UmLGM5Ll95dIh4SOGals0pjel6iQoVKmZRJAEhECWjO5ydzNBWHSDqlxleyPOVXw7xqp5aLkxnaKkqffdEzuBHzyb4vZvamEwVue/JSaoCMqosMpbI8Tc/HyAqwEzW5Fh7jJmMTjFnElYlDrREsV346YV53nGkGcd1y6WBHdV+LMfFdkECCqZDQBaRRJFoKMiRTtB0G1kWiakyN3eEafDbmPk0z81OYppmOUM8O22RLBo4LvglUBSRZMHgZxfm2VEd2BBArjxH/5a+Zp6dUKWokTdtls1mmZycpFAo8NRTT225PLGZfdpobMdxUhSF6upqqquraWtr441vfCO33norn/jEJzhz5gzZbHZL2/3FL36x7Hjee++9vPrVr+bjH/849957L/feey+f//znN7StFcMnPxQE4TiQdF3XMxD83FUPumtNOG2kplupv1BTU0MwGGTXrl2b+nzdshErRjl9kkhWKx3fdDpd4nLmTBR/ABeLVM7GJ4mEVZmwKvGVXw5zrDOOtEKty/tez4xn+N7JCeIhBUkQeHYqw1d/NchrmwyKxSLd3d1MTEzw/bMa0UApo1MkyGkWZ8bTXNMS48xEmm88NkpOt+n06+zqtvD7S6WBjGYt6eU6yxpv+/btQ7ceY0YJs5DTaa3ys7cxAgLUhVWmMxoDs1kMy0YzHYI+iZAqkyxaKIrCQiGPKIoEfDKO61IwXXoHF9lf7ZATgohygfqwQlSVqI+ogIsguFyczfHXPx+kby5PTVDhmtYor+mp5bbdNfyif6EEtD4Rn+gQUsVSLVoQec9NLeyqW13o3MsQs9ks8tQ8hq6TN10UwUU3DII+GduySBeNfzfQvZLtrJw2y+VyHDlyZFl5wpOI9GzXN8IgeKHce7crstks0WiU/fv3X/GARGU8+OCDPProowC8733v49Zbb90w6AL89m//Nt///vcfAOaAMSAtCEIamAGSVz3orhXryTtWjgRHo9HypNdK6shGors+XBa5DigSi3mTo21hzpw5g2VZ7N69m/YeP30/PMvovI5lgU8Raany41ckMppF0bAv4e16jbrB+VJTRV7KrGXH4Mm+Sf7D4QPU1dUhCALT09NEVJGkZpaJ97YD0UApK/3Mv/bik0UUWeRX4zq1J6e545oWvvTIIOmCiWnq3NZgctvB9mX162pV4GXXNIELn/tpX3lAwLBtCrrFEyNJ+ubyjC0W2REPoCoSty6VVaL+Eti6QCJTZGIhQyygcHRvOzmj1IB8VU8dX3x4iJxe0tbN6jbNUYVoQCHsk0gVTfpmc0iCwAduauMVu+NMpzVES+PixCKzGQNBELhld3xNwIXlGeItapQTc6WST1HTifgV6oIi6Wyakb4MyVGx7O22kW76v2Wmu9HtwNbKEyt93V7soJtKpa5Yd0EQBF772tciCAIf+tCH+OAHP8js7Gx5OKKxsZHZ2dlNbfOtb30r3//+9x8HaihxdeNAFRAFmq560F3rgq8c062MZDJJf3//miPBm72J6iIqn7ijh79/bJSFrMaBaoej4SRTThNPz+j4FmZ52+Em/ssdu/nOry/wyERpJj/ok1jI6bRVBwmtMmvvXfT1ERXHccnn8+i6jiH4ONTetKzWJYoiv3Wwli8dn2U2U6pjt1T5eXVPPY/0zmM6LvElUI+qIseHkvQvaKTzRdDz+GQfx5Nh3lzTVL7xT44m+e+ndcKDF/BJAofbolyYzpWODyCLEA+qHG6V6JvL0TeX5y3XNPLGg6X92l0f4oa2EA+dn0J3BHyqyk099ZiOW37YVIdVaiMq6YKFC8RDEoYNoiASUCQUSWAxb5DTDNIFnb31QfY1hEilUrT7dVraO5FFYVOKZQ1Rlffd0Mo/nprm1NAcVWGVXQ1h3npNIweaI8vkEmdmZshms2VhmErNXm+pvp2g+0KD9+XKE7lcbpmvm2mayLKMYRibHvtduU8vRLNvO8RufvOb39DS0sLc3By33347e/bsWfb7rTBB7rnnHu65554vrPX7qx5014qV5YVKC5u1ptQq9Ro2EiWuq0NHtcrv7JVJJHS6urroy8j8f78eIewvjY/e+5M+Pn57F7ft8PH6G7r50iODzGUNumqDfPT23aueVG9fuoI6zb4iYwWJgBoi7lf4vVd0LHuvKIq0xXz89V37OT9VqsUe2VFFSJUvkQi0HBBdh5GZBepCCrGaGiRZZi6rM5vV8CsiZ8bTfOpHF9E1h3DERRTg5GiK/3RrJ3nDpjbk42vHR4kFZKqDCq1VfibTRW7ZXVPyNVsayDjoz3Psjh7SlsIDpycZmc8zKYvkDZvb99SSKVrUh1UONEUI+mTmsxrPTmcpmDa67VLQLabSGv3zRaazJn/4ih0EJLfslqwIDrhg288D30ayxYMtUfY0hjn+RIprDu0jqMpl/du15BK9pXoymWRsbKxcJ/b7/RhGqdSzFq1pI7GeAeRmYiuuEauJ4TiOw+nTp/H7/eXvXFmeqBz7vaxWxguUMafT6SseAfbEcurr67nzzjs5ceIEDQ0N5VHg6enpZQnOdsRLFnS9Rpc3/uot9dc7SR5QbxR0JUlicHCw7BC8e/duRFHkb596jrBfLqtezWZ0To5n2CXYHGyJ8vV7Di/xYle/ybzpru//4mnOZ1Tq6xt4TWuMnfVhumpCl5QivOZYY9RPQ3T5OPDLuuI8eGaGiVQR13HQDIu3dAo8kYyiqgqSLGPaJbffvtkcn/7RRQZmc+RNB58I+myWjniQolVqpjVE/LRVS3TUBJlIadSHVUynBHo1IZnh4WFmZ2eXDWQ8fHGegfkCmaJFJKBwsDmMZjqcHk8zliwylS5SHynZ41QHFeayBhnNIlkwqQkp7KwNMrhQ5P/5eR9vaCrS0tJCc3NzaeR36cdbVttLGrmiKJZBbDUwUySRkE8kHl5b9N2LSmGYynOk6zqJRKIseFRJa/Ky4lAotCEw/beaIttoiKKIIAg0NjaW5Ui96zKbzZLL5Zibm6NYLCKK4rKG3Uqt3hfzCLDjOEQiEfL5PD/72c/4i7/4C97ylrdw33338fGPf5z77ruPt771rdu41y8B0F3rKVssFikWi5w/f/6SwYm1YjNuEJOTk+WxxpXUMlkSl3lkua6LIkvYS7VMQRBQJIGJZJFkwaQpplK7dPOn02n6+vronSvwkymVqrCfXNZg6MwM/+erdq6q2bDeoEZYlfnLN+3mgScukkhl6amLcuP+To7qCl/+5TB5XcfF5fY99fzw1DR53cJ0SjxX3QZHt7kwkyUow/dOjGAjURdWuaW7lpqgwnRGQwBe1e5nqu8czc3NHDt2rHzj98/l+cGpaaoDCs0xP3NZA0kQOD2eJqBKtFf7SeQNFnI6t3TXUB9VOeqT6Z/Lcmo8S8gnokouej7Lc7MSf/7Go/jVS5e5Hug6joPjlFwhPACuHF7wfq4UmLylelVVFalUqtzI8WhN2WyW8fFx8vl8GbQrgWklCL3YasNwaYZaOfa7sjxROeBQqdUbiUReMJPMKxW7mZ2d5c477wRK3+Huu+/m9a9/PUePHuUd73gHf/d3f0d7ezv333//du0y8BIA3ZWh6zpDQ0OkUilkWebYsWMbvpgvB7qVbIfa2lpqa2tpamq6ZOl05+EmvvDTfuazOrbjElJlbumuY/D8WPk9/3R6ivtPTiKKAgICf3BTC8HCDJZl0dPTw0/GLqLKbpmz6rguvxxY4Nodlz7Z16KBOY5Ttqi/fU87LS2H6e/vx3Vd9jRG+E+3dpHIG+yqDzOdKuK4LomcgW45ZfEXwymJynTWBFFEUESXTL7Ar58d5Y4uHy9rVTGLeWqUKN37SxrFumVjmRZBn8RYsoAqC6SLLjOJAo4LvxlcxCeL7G0IoyoSUb+PqqDC7rowz05nqQ370K0Q5yezaJpGLmfiC0ZokOVVAdc7BpX/rTwGXiZcmREbhoFlWViWdUVAvBIsK2lNXlTWiWdnZxkcHMS27bJUYiQSwTCMF1WmCxt/EKw24ODZznvsiWw2y5NPPllWJatUoNvqwyaVSi2bbttsdHV1cebMmUter6mp4eGHH97ydi8XVz3oeiescmTX0wV48sknN1XjWg90E4kE/f39RKNRjhw5gqqqXLhwYdX3H2iO8sk39vD40CI+SeS2nloaoiqDS7+fTBW5/+Qk8aAPUYBEKsNf/+Q5/vZdB2moL2UQPlnEcp7ftu2Ab42baTXRc+/hUF9fv4x3LIoied3iW48OMZooIADtNUFeu6eWyVSRnG5TScATAUWCxYLFzroQoiDgiArVIRkTHduyaGpsxLEMzp49y3MJi/6MhE9Vaa8N01kfAwQ00yrVXx23PLGlWy6xgITrwlxWo606wKP9CwzMZpHtIj5Xw1JULCWA4wh85OYdGzqPK48NPC9C4h2b4eFhWltLSmGVpQnYXEa8EWDaSJ14cXGxvHTfKKVrtdhuU8qtAmKl7bzP50NVVXbu3LlMgW5+fp5CoVBmWlSuBDZyz3pGrFdbXPWga1kWQ0NDq47serSxKwFdb7nv8/kuYTust6zfXR9eVSAFYDFvIgJasUBRK2JLfjRBYqwg4ckn39Qe5sJCipml5bskirxuf8Oq26u0bE8mkyXrITlAuLWHUGw55UkURX49lGI0YdIUVXFdl6G5HGcjClUBhXTBxLBLVC+RkoV5SJWwXIdkwUARBYKiSSKZp0+tok/zISUd3nxNC01NKr9KT9DZLGAZOgPTSdILc6i6TTrvlri8fpn2eIiBRBFRFEhpJZeF/c0RLkxnkCydXDqFKfl55d5WXrO3Dt1yaY8HaYhevv66XnjDJIFAgCNHjizrxq+VEVeeX6/O6f0btl4WWFkn9uhbjY2Nl1C6NlMnfjHSvLx9WkuVbL3yROX39qRDvXixid1sNK560DVNE1EUVx3Z9Whjqrqxm7USdCsbcD09PcuylNXev9FwHAc3n2AxnUGQfSQ1ibyuoSoiX3l0kHcfbeN1+xtorfLzf9zUQF9WARdu2hVnR/xSRwooAUCxWOTUqVOlWmb1Dr77zDxu/wSOC3dd28yr99SV3zuXNQjIEi4uCBBQZeZzJvVRlfqwj9OTGQpLLgnRgExtWKUx4kPXNBLZPEI4gN8XZDRlEg2AJAh87+kpXre3DkkSCQf9EAwQDEcxbIf/cqyFv/5ZP+l8kWxR58zYAjkD8oUCe+sCdNaFOVgj8q9nBqiPBnjttV0oisx0WqOjJnTJWPBmwzRNBgcHyeVydHd3r3ouV2bE3rmC55tzqzXsvPN/pRmmtyJbjdK1Wp0YWMat9erEL0b79cs1p9crT+RyOZLJJOPj42VnknA4zGOPPcbCwsKGpVtXxvj4OO9973uZnZ1FEAQ++MEP8pGPfIRPfepT22m/vmpc9aAbDAbp6OhY9XdbseApFAqcP3+efD5/2QbcZpTGvBv08ccfZ9KOgBJgOFHAdkEUAMFlLmtw3xNj3NZThyRJ1AVdjuwpLYE10+bp0SSm7bK7PlRuvBmGwfj4ONlslkOHDhGOVvGxH54nGpAJKBKm7fDDU1Nc0xIlHlQ4NVXg4nSG6aLANa1VRPwlq/G9TWEUSeB/nZtd2l+wXZeQIrE7LnNLbZ6muhpOLNbzxHCKgfk8huUQVkuNtaLlcKwjRrpoElJEogGFjGbSWh1AVWQ++Mouvndyih+fn6UmFuFIPIBmmsykCrxSSPLUc3OcnYNgqkB1YpLr26KYKFxJa8l1XSYmJpiYmKCjo4Oenp5NZaWr1YkrG3bZbJbh4WHq6+uxbXtL5YnKfV1r39arE3syiV6dWJIkRFEkkUiUjSa3Etul3+Dt62az78ryRKV9jjdZODAwwPnz53n/+99PJBLhzW9+M3/+53++4e3LsswXv/hFrrvuOrLZLEeOHOH2228H2E779dU/+wXb8osgNqO/YJoms7OzpNNp9u3bx/79+y97g64G6obl8MTwIgs5g67aEIdao6RSKfr6+rBtm4OHDvO1f+pHkko2MwXDxnbBsksOuwt5g4szWWolqSwKXjBs/uvP+plIFkEAvyzyJ6/eyYXBUb53ahZHUumOB7khHCOnW5i2W1bFUiQRAUgXTc5NJjkxY9NUHWCxmOc3vTM0hwX2NwRxcklqVAWfLNBZEySsysjYKHaBd+6WaN5xkG8/M8vPnptFlUVyuk3IJ2EscWR10+b4YJL+uTyPFA1qQyov76pCMx0+85M+8rqFXxKpCSnsa46W9ilTxI9JrKGdjKGxv91mPquT0gweG0lxc5PM+VPzZd2ESCRCNBrdUPPFG4LxHJm3q4MuiuKyzNnjfK9XnvAobOsB8WYz1LXqxOPj42QymXJ2WGmps5k68XaKqm+nVY9Xnvj0pz/NM888ww9/+EP8fv+mp8aamprKU2eRSIS9e/cyOTm5Lft4ubjqQXe9C2MjmW6ljGNtbS2BQGDZk3W9kCqAEUpaBl9+dIhzkxkUSUAzTI7W2tzc5mf//v309vZiOiKm7SIKArIkIggOgluy4nbdUt3z0b553rQrwEJWJ5bXue+JcU6OJemujxD0SUwl0tz7wFMUBJWGunokLC7MZ/n2iXF+58YdVAUVFvM6Od1mMlVEAHTD5OnRNLURFc2QubYrRKZocdOuak6PLvLzwRyT6SKZrMmuGDhFcAUXSw2zb+9enhhNs5g3CSoSEb/Egk9CsxxkUSBrWCiSwNnJNLrloJk2I4sFsrrFkTaD6YyBIonsqg2S1W16pxaJCBq2FGBXayPRWBRpUqe7Pkx1UCFdNJFFkfe/fk9p7NgwyGQyZLPZMjdUkqQyCHujq6IoomkafX19OI7DgQMHVjUJ3Wq4rsvU1BRjY2OXZM5rlSc8APZ+YPU68XaAnCAIKIpCLBajra2tvM9eg27l6G/lhN3KOvF2K4y9ELSxbDZLLBZDlmW6VkiObiZGRkY4deoUN9xwA8ePH98u+/U146oHXdia6E2l2Lcn45jL5RgfH9/QZ85ndZ6eKFAo5KhtMokGFIYTBZ6dytAYkclksjiWyclEkA/dcQifLCJJEgHZpSnmZ2Qhj+u6SGKJmeC6UBP20VYd5MxEhkcvzmKaFnM/mkK3XEzbZSJZZHcUYmEVyx/FL5aaXKbpUO0XODORwXZcdtYG+cbjY2Q0i5gq01Eb5H8cH6M66GN4IYftssQY0BlLFomHfBxsiROPmQyenuK5pEPUr7Co2UR8RT75vScIKy5ZQyaqCCzkLKJ+iVTRpTbk40BzhIszWYpLPGS/IqGZDot5k/MzOWpCPvw+kYlknvaATtaWkMNxdtaEuPtYC6mCheOWdqokCynQURMoiwD5fL4yRc8Lz7E2m80yOjpaVohzHIfGxkaampq2vLReLbyGaiwW23DmfDkg9urElmWRSqWora3FMIxy06lyGxuNlRnzWtzaSpnEyjqxxydez9V5s/FCNfe2Mn23MnK5HHfddRdf+tKXiEaj22m/vma8JEB3rVAUhWKxuOw113WZmZlheHiYuro6jh07Vp642WgNeDxZ5G8eGiCd19B1jTPJfj722t0UdYNisUBCN4lGo1RVVTGbNcqDEl6j4z/fvosvPTyIYTskciam7NBS5ac27GM4USBVMFFlgaxmYTngkwREwcWwXEbzMnujfg63xjg3mS1nSDnDxrJ1/ui7Z8jpFiGfRFCREEWBurCP6bQGrkuyYBELKMxkNXTTJlUs7d+TAxrZfJ6C6aIJAlnLxrJdRFEiK0cpIiD5XHaEXVw7z1TGZFfYZX+DQmvMQbRVRhNFTNtBEsUS19eFVN5EN2xc26Q2ILK/rYb3Hm7hurbn+ca1IR83dFbz1EgKUYSqgI871mBqVJ7beDxOdXU18/Pz5HI52traqKqqIpfLMTExUXZgCIVC5Yx4s2R9wzAYGBigWCyyd+/eK3YpWAnECwsLDAwM0NDQUBYw2sqEnReO42zo+61VJ/ZobPPz82SzWU6cOEEgEFiWFW/2YbaZKc+NxnbUnE3T5K677uI973kPb3/724Hts19fL14SoLvRTNe7wCu5tuu9f634X2enmU4XyekmrmUjpQo88Phz7JAzVAUUbDGEKylMZ3QOt8UI+J6f67dtm4a4n8/duR/DclAkgfNTWX50bgbNtJlKa4RVGVUWyBQtnKWGVlVAIaPZmI7LLbtreef1LXztN6Ocn8pg2TYjKZuueoGxxSK4LnnDpiakUDRLcomG5QACIVWiKqgwtlhAkUQM0yZj6sxaAqKkEFQdgorIXM6kLuwDF6bSGj5JZGdtEF0QONgZ5gOd1dzQXlUmwNeOLfCvzzqYNjjuktIVoAg2Bc1CcwRkRWY2Z1O/YvRWEATesL+BYx3VmLZDPOTDt8aIdGXkcjl6e3vx+/1cd911ZQpYJZA4jlP2s5uZmaG/v79MR/KAOBqNlh+8XlQ24To7O2loaNhW0RZN0+jt7UUQBA4fPlx2QaiMyuk6x3HKZYn1Gna2bW85w/dKDt6PKIrs2bOnfI7T6TQTExMYhoHP51sGxP/WEpHe/X4lWhe/+7u/y969e/mTP/mT8uvbZb++XrwkQHet8Hi663FtK2OjoHt6Is1ESiMgCxR0i4WpFPurq3nvm27k4HUW33t6gpmMzqt66rjr2uby361kO3jqWAdbohxsiTKT1hj4QZ68XsQwTRQRTAdEQSgxERy4vr2K9924A0EQ+MNbOnluJkfvdIrvptO0hAWSeRBECc2yyRsOOd0ioEg0x1QOt0b51UCChZyBYTvItk1IdhEVP3nNILJ0NWQ1G1yXomETDcikCxa249JRE8QviexpDHNjZ8nwMRQK4fMHsBcFGqqyLOSMpezbRXSgTnVJCxCXBTqqJTqrJH5+YYb3vbzjkhumJrQxFSuvkZXNZunu7r6MTb14ScPJs8LJZDIsLCwwPDyMaZrlsVVRFJmZmaGmpmZbm3DeZ4+NjTEzM1N2Ul5v3zc6YbfdFLZKbq3n4uBlgWtpMKxVJ94MV36jkcvltkwXAzh+/Djf/OY3OXjwIIcPHwZK9LDvfOc7V2S/vpF4SYOuYRjlC2Itrm1lXM5VwYucboHrYBg2IiCIMm1N9ZyeyPDzi/NIosC7r2/hwArXhstRzOIhmbjPYdbVKVgiklhiKpSkEG32NYX55B3PN28kUWBfY4igDD+KhFnIaYRFg6msjeUI1PvBtsEvQzysMJnScF2XZE4DIOCXqa0OktFsWqsDmLaLLNrMZHQsBwqmTcQvk9MtOmoCdNWGEICnRlK8qruu/ND4Rd8Cjw0laYsHCSkixaJGfcRH0pTZ3xJjJJFHEmFXvYpgGwyMpXlCnCmzEjxQvJxKl+u6TE5OMj4+viUKmBdrac16SnSeYtjCwkL55vay4itREvMGV7yy1lZAca06sW3bjI2Nsbi4SGNj4zIKm/d3m6GwrZedrqfB4AFxZZ1Y0zRmZma2VN5ZK9Lp9GXv5/Xi5ptvXnV1vN2c3NXiJQG6K28CTdMYGBggm82iqipHjhzZ0nZWi0wmg88qUOuHgqOi6Tohn8xTI0n+5ewMdREV14UvPTLIf35t9zKTytG0xeJsim4rwMGWaPnzXNdlZnaO+x/rRUKhvjqGIIBqFTjS3cZCXqcjHuQd17fiV6RlHXGAoukwnDTIaRayKFAdDHB7VwxNNxlJ5JlIaRzv09FtCCsQVATiYT+GA/VhH7GAS0sswK8GFskbDrGAgmY6xAISsggtVSq3dNchiSXbdhBKgxVLcW4yS21QRiimyTg6gk+lLh7lbTurGVvUmEgVOdgcpSnmZyajcWNbMzcebEDXdTKZDJlMhunpaYrFYnnZ6oGcRw/zaHfV1dUvSPY5MTHB1NQUXV1dy2qr3j56Vjiapq25j2uFZ4FkmiYHDx7cVkYFlK7J3t7esiGplzysbNhVlihc1123YbeVkoAsy5fUiR3H4cSJE8iyzPz8PENDQ2W335X6xJt5mG2HrOO/V7wkQNcLwzAYHh4mkUiwa9cu9uzZw9NPP33F2zVth3Q2z/jwAKZp8q6XdXL/6QWqHJfnJjVkHzw3k2Uxb5LVTGojKj5J5LHBRBl0Hzw9zbeeXEASwN+f57aeOt57Q1v5hnl8xuVcLkQ8pBKXHXySSyFT4PHhRUI+mf65AjMZnT9+dVeJesCSnq8Ln/jn5zCtEgBrpk3BFLmuPc6DZ2aJx8IMLurotosNFGwo2C5JrdRgXMwUOdioMmUZ7KzxM5uTiPpLPmtNMT9Bn0h9RGU2oxP0yWQ1k2Md1ajykkOFbWPkM8yks7Q21HJbUwMji0XecaS57M/WN5vjoYvzTKU1dsQD3NZTyo48O+5K0ZJKetjs7Cz5fL7c0W9ra6O2tnZbl6pe9llbW8vRo0cvUdXyJsQqNVVX7mOhUECW5UsobIIglOvCO3fuLIP5doVpmmVJyZVgvt6E3cpaMSyvE29nSUAUS6yd5ubny2ye2+9qdWIPhC9XJ94O14h/r3hJgK5t2wwODjIzM0NHRwfd3d2XdIE3E5WcyYeeneabxwdZzOuIip89TTFaqgx8kshAMocA3NhZzeNDi+i2w0LeLOnLIvCKXaVtHB9I8IWf9SHgoEoCjT4f3z0xzuLsFDc2STTv6OLksyPUR1UifpmIHwbnc0ynLA51+EGAiCrx7FSGuYxGQ/T5Je7F6SyzWQNJKGGxKIos5Ey++utRNNMmldfI6SCJgFsSMZcEiAQUJLE0wru7oQpN1zg1maZg2OTzAiFVQQoL7IpX8ebDrTw5kiSRM9hRE+f6HVW4bklMfHh4mFd01vCLiSApC5IpnZ11IfY0Pl9v624Is6s+hGW7l3V58Ohh1dXVjI2NUSwW2bNnD4qikM1mGWoiYsMAACAASURBVBoaolAorMnT3WhcSfZ5OQrbyMgImUwGXdcJBAK0tLSgquq2UJzgeSPV0dHRTTX51lNiq8yIDcNgcXGRqqoqTNPcVklMYNU6MbDMSqiyTrxSDEcUxW1xjfj3ipcE6C4sLCBJEjfeeOMlHMXNhld3FQSBR0/18bXHp4lHQ8xqArblMpYs8MxYip11IXbWhjiR0XjouXl0qyQEbtsOjgOmY3OoNcZcVue+J8aQRJGALJLIG8xPpPGJ8Nh0kBEtwOlfX2CxYCKR5kBLjJ6GMAKlLHYuq2HaLkGfiEtJ+KbyexVMCwGXVNFCkUrC7bbjMrGYpzEkYrpgAeLSs8dd+okFJFRJRLMcUEo8XX8oy8hikbFEAQuXkUSRl9c7nDs1Q0SSaIlGifgE5ud0JiYmCAaDXHvttaiqSk+nzkRKQ5VFdtWHLmEfiIKAT778+XBdt7wMbWxsXFb7XCmS4mWbHk/XE9P2wNi7QSvDcRzGx8eZnp4uZ5/bER6FzRPE9vv9HDx4sDwuXElhq8zmNlvjzOfzXLx4kWAwyPXXX38J62IrUdmw89T0mpqaaGlpWVckfiNAvBlq11piOJVOx7lcjq9//etMTk4Si8X45S9/yaFDh64IgH/yk5/wkY98BNu2+cAHPsDHP/7xLW9rI/GSAN3GxsZNC8+sFZIkMTY2xvT0NPN2jHi8VJ8SsQiqMomciV8pmSaqsohhQ9H7bKHkBtwcU1ksmHz7qXGaY34ESkaNi7kiuumCCFVhPztqwjx0cZ6akI+6kI9EweTsRBpJEGiPB5hbTNI3m8UnS1iOy41d8UvcakvLfpGsLmBaDtaSTbnpCsxpIppZ0sa1KWW4LA1G1IZ8zGcNJEnAdl1+1b/AfM6gPqJy57XNOC7kdQs9EuBlh5owTbPsKus5JLiuy/DwcLkRdrg1ekXL51wuR19fH6qqlsF8rZBlmXg8TjweL79m2zbZbJZMJsP4+HgZ5DxwA5icnKS+vv6SUsKVxsppNc81A7jEBmc1ClulGeZqFDbbthkZGSGRSNDT07Pt9UzDMErqdJa1LoVto0psHhBfqT/aalZCBw8e5Atf+AJzc3P84Ac/4FOf+hQ//elPt+ThZts2f/RHf8RDDz1Ea2srR48e5S1veQv79u3b8j5fLl4SoLveSfV8zDaiizo/P086ncbv93Ps2DEC03l+MTaMbjvkdJu8XnLt1W2HuKwwndJK012AIIDggu04nJ/OYFoucxkNUSx9flR2cFwBR4CALHFtWwzDcnHcElD7ZBFRFFgsmFzTGuG23TXMp3No8wWKpokiuEzPLfDrUxfZ3RynuiqGqqqcGk9TF/azmDPQXFAAQRKQhJINe4mduwS4QMwvEVBEFvIlVTHTsnnouXkkAeJBhclkkcaIn+YqP47jUtDtslPGzMwMnZ2d1NfXIwhCeUmdyWRWXfZ7OgmXO/amaTI0NEQmk7ksBWy9kCTpkhvUtm0WFxcZHBwsGy3Oz89TLBaXlSeuBICz2Sy9vb1EIpHLZp9bobABzMzM0NLSwvXXX7+tKmLesNDIyAg7d+5c1w9soxN2lQ07XdeRJGmZS/GVht/vR1VV3vjGN/KOd7zjirZ14sQJdu3aVR4jfte73sWDDz74v0H3SsLj3q73FPSaKaFQiNraWlpbW1EUhUOtMWrCPn7ZO09at7Gd0tBByb3XJVEwl5b84DilbDKl2QiATwLddpEsG90GQZBKNuiWSXtNEBeBTNHAt5RpCgKICIR9Em+9poHFgslk1qajLoLtwvBCnuGMy0+Hdc7PT3OsdpLptMa5YRMRh4N1MiNZSt5mkoRhO7jYyFJp32RJQBYFdtYF6a4Pc317FfURP/efnCSgmsSDCvM5g4xmMrJYoDbsI5E3aA/LZbO+ldmht6SuzDYrgXh4eJh8Pr9m/bUyO2xvby/X4rcrPE7s7OzsMk5sZbY5PT1d1mqoXPZHo9HLLvsty2JwcJBMJsOePXu2zBtdi8Lm8ctN08Tn8zE1NcXi4uK2UdgKhQIXL14kEAhsuVSxXsMunU7T29tbprDB1oTiV4vtqulOTk6WdSoAWltbefLJJ694u+vFSwJ0NyJ6sxro5nK5sn3N/v37CYfD9Pb2LitV6KbNnqYIQ/MF/IpAwXQRKQmRe2VLq6JX59VMdRtE21lSBRO4piVGPCQzPbdIbTxIPKhwsDnC6/bV8dXfjLKYNxEE+N2XtxFWFdKahU8plQfmcjqOA5GAjCv5ODlvUFNdQ1abwkFgQZdxii6SYBMQS2wL3SxluH5JBKmUUcuSQG3Ih1+ReVlnnCdHklQFFHK6jSyJxAIKAUVEEiCVK9DkJmmUw3RfZqlfGasBscffzGQyjIyMLLP49hSeotErK02sDG/6cGVdGNbONj0h7bm5uWWWOisn1yrdJ3bs2LHtD4tKPnJl9rkeha1yzPlyFLbKh1FPT8+2N6Rc1y1bZh04cKD8MLlceWIzQOz5E16N8ZIA3fViNXlHTdPK0ny7d+9eBhAeSC/mDe57fIyT42kEF2RZJOxXSGtF/IqEJIBW4SW2MrzXS2An0hQLEPIJLEgCRzuqedfR1rJ54it3xTk/neX4QIJvPzXJPz4zTWNUpTao4FckEnmDeFAmb9jMZjWmE1n+20QSSZbQLJf2aj9VIYVEziSs/v/tnXd4VHX2xj93anqlhSQkpJEEFCEBQSyAoCDCWlZEVFaxLj/WqBhhxcWGoiiKixUbdtZVgVUUUCmCQmgiECAEEkoS0nuZ/v39MbnXmzAJKRNAyPs8PGSSmVtm5r73fM95z3u0SAgOF9dgtjiosTjQSs5ofGgPA1dGedMtwK9+0q4Bg16Dh15DWa2VWrONUH8jo8Mc+EpVxMUltkuArn5PZf2mrKE2m8307t0bi8WiFJnkQphMiK1VJIBzIOnBgwebba91BXURTpY3ydOkq6qqlGW/2WzGZrPh4eFB7969CQoKcivhVlVVceDAAZfGOk1J2GSP2cYSNjURy++lHH3KEjl3G56XlZWRkZFBz549SU5ObvDetMWJrSkidtfUiNDQ0AYmVzk5OcpY9o7COUG6LbV3tNlsZGdnU1RURFRUFImJiSe9Vh598+mvR8mvNNMr0JOs4hoqqm3oJAmbXaAzSpTUj9xpDgLwMWqJ7uKFyeag1uLA4RAMiw7CbrcrX7Ciaivv/3KM/QXV6DSS0wNXgKdRS59uBsICPMktr8NXDzVVlZSaJXw8DJisdnQayKkwYdRrlZHvI+O60tW3kvQTVVSYrHT3NZLQzQutsPNzZgnltSecHhC+OqK7+mI2SlRrNYR7SVzoW05irxglb+suOBwOjh49SkFBQZOqATkibq0iAf4oNBUXF590I20rJElSlv3dunVTNODR0dGAM9rKzc3FYrEoYn/5htFa/wNZ9lhRUdHqVEVTLmJqCZvswiZJEqGhoQQHB7vVqNxmsyndfP3792+xf25L8sSuCnYFBQVuiXQHDRpEZmYm2dnZhIaGsnTpUj777LN2b7c5nBOk2xz0ej0Wi4WjR4+Sk5NDeHh4gzlqrp5fUWsmt9xEzwAPgrz0aDUSBwuqcSDo6mtEr5WoMdvQaTVobHaaUgJ7GjQMigjgnksjySqpdUptfEupq6ni26Ol2BwQ5K3nix15HCmtxeEQOCQJjUaiuMZCsKQnOSIQb1HL+7+WcaRawsfDiEZjpc5qw2Jz+vIKydnI4GPQUFxrxQH0DfHlWFkdPkYdw6KdqoefM0sw6Dzo17sLAsGxkhr8vYwk+tdSVlaGj9FpjF1TU0NJSQl+fn5tqgirIYSguLiYw4cPu1zqq+Gqo0mtSDh27Jgy0tzHx0chuLq6OrKzswkJCemQ6K2oqIjDhw/Ts2fPBtvv0aOHco4mk4nKykrKy8uV0TIeHh4nEbGrG1lRURGHDh0iLCyM2NhYt9zs1GkeeftRUVH4+Pic5MIm57Llm1pru/3k7UdERBAfH9/u428uT2wymXj55Zc5fvy4W6w7dTodr732GldffTV2u52pU6fSt2/fdm+3OUinuNu571bYwbBYLCfduYUQ7Nmzh9LSUsLCwoiMjDzlF6qgoICyikre22OmrNZCTlkdGslZjBrbrzuBXnqOldbx44ECCiudeV2dRqLO5myMrVdlAWDQwNCoIC6NCWZScigSgvTDx/h8+wlsNqfxd1YVVFoEJyptWOsbF5yKC4Gfp5Z+QWByaOkR5E9OhZlDRbVUmmwIwEuvwaCFaouDHr4GEkP8GJ3Yld+OV6KTJHYcr6BXkCcXhfnhEII1+4oIC/CgZ4AzCskvryFYqmJsnD8xMTEYDAbq6uqU1tyqqiosFouS15SXqy0l4pqaGjIyMjAYDMTGxrrN31Ym4pKSEnJzc3E4HHh4eDQ4Rtm4pj2oq6sjIyMDrVZLXFxcq45fnX+V30uTydTAb8JoNHLkyJE2bb8lMJvNZGRkANCnTx+X21cXFeXIWC1hk99PV0U2i8VCRkYGQogmt+9O7Nq1i5SUFCZMmMCsWbPcolHuQDR55zlnSVcWeWu1WgIDA1s8qrmkpITc/EKW7LOxNsNpXiMBGg2E+nvQxVtPfmklkQF69pUKyuusaCQJu0PCbLNjc856VJoZevgaCfDSMyDMj9huPkgSbD9WQWSwFzpJ8PXOPLJLTFjFyW92oAFGxndhw+EKQvw9KKm2UG6yYqt3IbcLJ0l39zMwKCKQLr5Gevh5MKR3IMU1FqrqrGw7Wo4AHEJg1GrILTcR4m+gtLSME5UW7hjWmysSw5p8P+SWTZk8KisrFTmTTHKNdaVWq5Xs7GwqKiraJQFrCna7nezsbEpLS4mNjSUwMFAhYjkqbqzRlaO4lkjD1KmQuLg4t6QqZJjNZqX1taKiAr1e3yA10ZJC2KmgLsTFxMS0ugFELWGT30+bzaZI2Hx9fTGZTEp7c3MyM3fAbDYzf/581q9fz9tvv82FF17YoftzE8590rVarUr3T0ZGBjqdjri4OKqrq6moqCA2NrZF26moqGDF1kzWn9BworwOo17LiQoTOo0zb2W2gZAkevh5EB7oSUVNLbVWB2h0VNZZKauz4nCAXgsGrXMGmp+nnmHRARwrNVFSY8HToMVbr6VPDx82HSqloMqMXgN1qv4Oo4RT06sBkwMCPDQgSdRanSbh3kYtFpsDh4A+3X1J6uVPkLeB3HITD4zojb5eWlFWa6G42oKnXktXHz0fbTjA5qwSfH19GHNhGFcndkPTygtcCKFclPKFKRMxOHOdERERhIeHu72qX1hYSFZWFmFhYYSGhjYbzdrtdiWKUxOxOjXRmIjlm3WPHj3o1auX21MVciErKCiI3r17KyOf1ARXW1uLXq936eVwKtTU1LB//358fX2Jjo52mzGQfPOVG2Rks/TGN4z2SNhc4bfffiMlJYUbbriB1NTUsz26VePcJ13ZOMZsNjeIrkpLSykoKCAhIaFF26murub9tXs5WOvJ0ZI6fI1aDhdWUm0RCAFarYQQ4Ouho4uPgf7djRwurkXoDPh76Nl7opIqk9N/VsLph+tt0OCt12C2C2rMdhz10bBWKyEhMOgkrHaBqZ50NTjlXY76abxarYROApPNjski8DOAn4eGEpPAqNNydUJXenfzpcZsw+oQ3H9ZZINzUudVu3XrRs+wcHQ6LTo3EkpZWRkHDhzAaDTi6elJdXV1A8lVc8vUlkBOVRiNRmJjY9uca1YTsRwZA3h6eipV//j4+HZPiGgM2QO4pqaG+Ph4vL29T/n8xkTcnN+Ew+FQCn0d0bEmm7rn5uYq0X9jCVtlZWWbJGyuYDabef7559m0aRNvv/12h5iJdzDOfdLNzMzE09OTLl26NPiA5THZLV2SmEwmvt74G98d01FQUUu1yYrJDhYH6CSwCacMzDkKB5JCvdEKGwfLBToJSmutVNfZkDTO54n6FICkcSof1EU3reT8Z3E4W3cdON9wD52zu83icKY0JAn0Og2SENjqPxF/Dy0Rfjpi/CUOFFYjHA6MBj3XJgYTFxqs5F7l1lqDwUBMTEyLJVQthWwcY7FY6NOnTwMykSVX6ovSbrc3yBeeqglBVpyUlZV1CJnIqYS8vDyFSGQiVheY2tq1ptb0RkREEBIS0uZIUO03IfvWajQaDAYDlZWVdOvWjZiYGLePxpGjZz8/P6Kjo0/5PqglbJWVlYpxjVrv3Fyn4o4dO3jwwQe56aabeOSRRzpkqOVpwLlPujabzaVBeF1dHfv372fgwIEt2o7VauWFLzextcBBtU1Ljc3pQYAAa/27IbfVGnUaooKMeGjs5NVAtcWOxWbHZge9XkKDM4I12/94GzUSSqSr14BR60wryBG0zS7QaZyPu/oY6eproNbsoKjGglEnMXVIOMP7dMHugC4+Bjz0WgqrzNRabHhp7DjMtUoVvba2FnBW2bt169auSLMx1BMQoqOjT7rZNQU1EcsEIhOxOiLWarUKWYWHhxMaGurWZSs47QFlzWpkZORJ1fLGqQm5a63xcTaF2traBoXE9ipBGsNqtZKRkUFNTQ1dunTBZDK1K5fdGPINqbCwkPj4+Hbd8NSdilVVVdTU1DSQA544cYKYmBgWLlzI5s2befvttztcRdDBOH9J12azsXPnTgYPHnzKbZSXl/Pzzn2893stkSHB6HV6fjlcgsXubO2tMp8sDvPQgs3uJE8kMOq11FmdQxkdQmB1NHwTZXWDhNNMXK/TYNBqGXdhN/bnVVNjtmHQabhjaC9yy+pYmV6Il0FLgKeesEAPwgI9uTmpafG2bMidm5tLREQEfn5+ypddHWmqiaMtEqHDhw/TvXt3IiIi2p33VBdu1DcMo9FISEgIgYGBbps4AM6ia2ZmJmazmfj4+BbbOjZV6ZeJWK2akMkqLi7O7SO81bntyMhIevTo0eCG1FQKpTWRe2VlJQcOHFBuSO7ObcMfDmIVFRXMmDGDXbt2odVqGTVqFKNGjeLWW291+z5PI5ok3T9l3O4KTUVBWq32lA5ktbW1HMjIYNOxOn44LsiuhMOVJVAv3dJpnPlVVzDZnVGvWYBBo8Fsd+BvlCivc2Cp5+h6K1ulmUJuFTbqNPgYdQT5GAnwMDA4MpCjpbVc2687w2KC2XiohIG9/OnmY0Sn1VBRZ6W5e6Tc+iqPg5EvKh8fH2XYnprgCgoKFJerlkRwNTU1HDx4EL1e36pur1NB9h4wGo1UVVWh1WpJSkpCo9Gc5MbVmkizMdRV/aioqFY3gDTXPiwf5/79+6mrq8Pb21vR8bpzGq7JZOLAgQPo9XqSkpJcRs9arRZ/f/8GkWlL/SYkSVJaeBMTE92e21ZDp9NhNBp59913qa6u5qeffqJ3796kp6dTUlLSYfs90zhnIl273d4kuf76669ccsklJ/3eYrFw+PBhysvLKdZ35/NdJeSUmyisMiPVh6QtsUCXL1ujXsJD5xwCeby0ztkmXP8OOoQzJxzgAaF+enr4eRAS6E2/8EDsQmLnsXIkJAZHBjAqoSsaSaK42sJHacdBgEYjUWe1M3FgCNFdG14IMhnqdDpiY2NbTYaNl9LqyEhenhYWFioSsI7o1ZdNuZvLe6oJTj7OlhKxXGj19/cnKirK7XlCOXq2WCzExcXhcDhOOs72rDCEEBw/fpy8vDy3ydjUfhOVlZWUlZVRW1uLt7c33bt3dykHdCfS0tJ45JFHmDx5MikpKX/W3G1TOPfTC7KBiis0Jl15iF9eXh69e/cmJCSEV346zJ6cCtJPVFFndloi2lpx9kYNeHvo0Gs19Ovpy+7cSgwaQWWtzRnxSk5CvffSXgTp7WhtdUquUKvV4untjDSCA/0bVHuLqszsOF6OzS64INSPiKA/lsLqqbixsbFuJUNZ95qTk0NRURE6nU6pSrfHG6ExZImfj48P0dHRrb7AXeVehRAKEXt5eSl+BB2hSlDfMJqLntU3DHnJ39KiouzHEBgYqMjM3Al1C298fLwivWwsB1QXwtqTn66rq2Pu3Lns3LmTxYsX06dPHzeezVmDTtIdOnQo4JxrL7eMRkREKF/gR7/ey67jFeRXmLDYhZJ7dZWPdQWdBq7q04ULwvypMlnYlJFHrdmBl5enU/mg1fLazf3o5ntyFKouMlRUVFBbW3sSwan1j7K/bU5Ojsucnjsg2wr6+fkRFRWFXq9v0JIrE5x6yS0TcUuORb5hVFdX06dPn3aN024M9bSGwsJC9Ho9er2+WX1uW1BdXU1GRgbe3t5tUg00zmXLRCwTnI+PDyUlJe22jmwO6hbeplYYsi5bTcRt9ZvYvHkzqamp3H777TzwwANuv4GcRTj3SVee7eQKW7duJTIykqysLPz9/YmOjm5wp84srObRr9LJKq52Gos3sx8NTsNylSABD51ET38PLgr35/YEPWUlxdR69WDdkToqzTb0Gom7h0U0mBt2KsiC+YqKCkX/6OHhgU6no6Kigq5duxITE+P2L63ZbFZcwOLi4k4ZGcoyJvmfrCdVE7E6cm88YaEjbhhqMpSjZ3X01rhjrbWtw+qOOHfL2GR1R15eHnl5eeh0OrRa7UmpifYu+dvbwqv2m5CJuDm/idraWp5++ml2797N4sWLiYuLa9fx/wlw/pJudXU1W7duxc/Pj4SEBJei9HmrMvh+bz7ldXZA4LA7/WdP1kKAl04iups3BwtrsNgEBq1ETDdvJIeNYJ2Zh0b0JiYyHI1GQ3mtlWqzjUAvPd7G9uWrqqurOXDgAA6HA19fX2pra0/yRWhP/k0tAVOPIW8LZGG/mogNBgNGo1Exn46Li3N7rlDW9JaXl9OnT59T2lK66lhrbKbT2NVM7ljr2bMnYWFhbq/qq8fmxMfH4+Hh0aTe2ZXX76nQmkkRrYUrv4lPP/2UtLQ0ioqKGDVqFI899hjR0dFuv9GehTj/SFcW7cuTC5pawpqtdv65fB9bskuptdgw6rSYbQ60kqDa4mx4AGeEaxMQ7Cnh522kxmynpMZKNx89RslGD18DQ2JDuOvSSLeP2c7KynJZxJJbM+Vo2JUkzM/P75TRsKx66N69O7169XJ79CxHVdXV1Yqnbl1dHUajscFxNuXCdSqoJVTt1fS68nCQp9dWV1ej0+lITExs1fTglp6DTIYtUVaovX5d5V5d3YRNJhP79+9Xuvo6uqW2pqaGp556igMHDjBx4kQKCgrYsWMHzz//PPHx8R2677MA5z7pAorB9JEjRygsLCQqKoru3btz4MABevTo4VIvabM7ePa7DHYcKyO7pE6ZqBvkbaC8xoLV4UAjOadD+HloefzyrmzKKqfObCbYIMir02Dw9OaiyC5cNyAUXw/3NR/IedvWdDLJF6NMxHLlXL3kk5fR7VU9tORYcnJyyMnJcUkk6qhInUJpTMTNQR4509724ObO4dixYxw/fpygoCClcOcOw/XG5+Dp6UlMTEybybA5TwwhBNXV1cTFxXW4QY0Qgk2bNjFz5kzuvvtu/v73v5/LudumcO6Trjwi5OjRo4SFhREeHq5cBJmZmfj7+zf4sqnd6ncer+CLHXlsPVJGrdWBl15DryBPbh0cxodbcsivMNHdz8DcCQmE+xuUIYqRkc6oVs69yjktf39//Pz88Pf3b9MFVFJSwqFDhwgODm6RHeWp0DifKRdChBD07NmTHj164OPj49YIvby8nIMHDxIYGEhUVFSLLrrGy9OKigqlYKMmYoPB0MC0vCNGzsAfqoGAgICTzqG5oqJMxqci4o4emwPOtFR6ejoGg0HxxHC3GqHx/p544gkOHjzI4sWLFcP38xDnPukCSpdUY6I7cuQIBoOBnj17NphYKoRQRoHklNWRWVRDZkE1wT4GBkcEEF4vz5JfI+skmyoAycUF9XLfarXi7e2tEHFzy/2amhoyMzPRaDTExsa22H2/pVDLm0JDQ/H19VWOU07DNFUAaynUhbjGXgxtPebG1pImkwmr1UpAQADh4eFtvrk1hbYOnFTPglO/p40jYkmSGozN6YiOr+ZaeJtTIzS+ubUUQgg2btzIrFmzuPfee7n//vs7pIvtT4Tzg3Rle8fGyMnJwW6306tXL+x2ewOyPRXk0exZWVltynm6Wu7LOlKZiI1GI0ePHqW8vFzxh3U3XEnAGqOpAph8Efr7+zeZd5Xbj/Py8tpdiGsKJpNJMeUODw9vEBW7o70ZUIZSusvvoTERy5GmfA5du3ZtscyupWhLC6/65iYfr5qI1cbrjVFVVcWcOXPIysrinXfeITIy0m3n8ifG+U26+fn5lJaWEh0djUajaTHhVlZWcvDgQby8vIiOjnbr5AO55zw/P5+qqiplxpVMxO01spbRWgmYq9c3l3f19/dXcsOujGPcAbWyQj1KXY3GRjqVlZWtahuWp0TIPszuzg3DH5rYnj174uPjc5JtY3tXGXa7XWnhTUhIaHcjiEzE6puGTMQ1NTXk5OSg1+t58cUX+fvf/869997r9uh26tSpfPvtt3Tr1o29e/cCcPPNNys33/LycgICAti1axdHjhwhISFBabYYMmQIb731lluPpxU4P0lXTiOop/9KktSAMFx9ueWJtRaLhdjY2A4RpZeWlpKZmamYWQMNdLnqKFMm4tYUuhwOB8ePH+fEiRNujTzV+szS0lIKCwux2+0EBAQQGBiIv7+/W93M5PepW7durTbXkbvA5Pe0cbeavNzPyckhPz/f7VMiZLRkbI66QUb+/HU6XYPURHNErJ7C627zeDXkz3/btm28+OKLZGRk4OvrS0xMDCkpKYwaNcqt+/v555/x8fFhypQpCumqMWPGDPz9/ZkzZw5Hjhzh2muvdfm8M4Dzg3RlpzF1kQxoENna7fYG5FZTU6OQm4+PDxUVFZSXl7fKrrA1qK2tJTMzE4DY2NhmpUdylCkfq9lsVpZ7MhG7IjdZAiYTVUdGnvL7pK6aq5f78nG21pxGlvxZrVbi4+Pdlt9Woj1XhgAAIABJREFUFxWLi4spLS1Fr9cTHBysmMS4o70Z2j82R53uqaqqajBaXX5PDQYDhw4doq6ujoSEBLfXARpDCMH69et57LHHmD59OnfddReSJHHs2DF0Ol2HjC9vikyFEPTq1Yu1a9cSGxvbSbpnAlarFZvNdlKR7FQwm81kZ2eTn5+PwWBQdJlqcmuvgkBtxh0TE9OmiEqdd5OJWJ3LNBqNnDhxQhl06G4JGPzRHHAqQndlTtM4l+1qnLpcsMzNze2w+VtWq5VDhw4pfgweHh5ua2+W0VFjcywWi3KsRUVFVFVVKeb98rF6enp2SKRbWVnJ448/Tm5uLm+//Ta9evVy+z5coSky/fnnn3n44YfZvn278ry+ffsSFxeHn58fc+fO5bLLLjstx+gC5wfppqam4uPjQ3JyMklJSfj6+p7yy1daWsqhQ4cIDAwkMjISvV7fZNOBmjBa2jKqjnY6woxbdrPKysqiqqoKvV7foGLursjNZDJx8OBBhBDExcW1KaJq3AFWVVXVgNzkiCk4OLhDjF3UDQinakFuSolwqrxrR4/NgZNbeGXZojpH3Jx3R2shhGDt2rXMnj2blJQU7rzzztOqTGiKdP/+978TExPDjBkzAGfwVF1dTXBwMDt27OC6664jPT39lJ2JHYTzg3QzMjLYsmULaWlp7Ny5E4vFQr9+/UhKSmLQoEH07dtXWY6XlZUp469bIs9Su1lVVFQ0yA83VfwqKysjMzNTcYdyt3WdmkTUhO5KQ9rWQo16Mm5TRaz2wGazUVpaSnZ2NiaTSTGnUb+v7ojc5AYEDw+PNndjuVJ3qI9VCKGYKXXEUMvWtPDK3h3yv7q6ujYRcUVFBY899hiFhYW89dZbhIeHu/WcWgJXpGuz2QgNDWXHjh2EhbmeZj18+HBeeuklkpOTm93+oUOHOuImf36QbmOYTCZ27drFli1b2LZtG+np6cpFbTQaefHFF4mPj2/zxaE2e5HdwYxGI15eXlRWVipDDt3dMgp/+MPKy9dTkUhTcjC1frhxOkLODXfUZFy1+U3v3r3p3r07kiQ1ONaKigqFMJo71qbgcDg4cuQIRUVFHdKAYLFYlBu4fJyuuurae9NwRwtv4yGS6lZseWUkE7EQgh9++IE5c+bw8MMPM2XKFLd+/q5UCU8++STvvPOOkvt+7rnnuOaaazhy5AgXX3yxUhf497//jRCCefPmsWHDBmWbRUVFBAUFodVqycrK4rLLLmPPnj0uU3lCCKxWKxMnTmTTpk18++23DBkyxG3nx/lKuo3x1Vdf8eSTT3LNNdfg4eHB9u3blQ62QYMGkZSURHJyMoGBgW26SGRf0pKSEvz9/bFYLIopjZow2hPxWiwWpXDSp0+fdsmCzGZzgxSKXKjz8vKivLwco9FInz59OiQ3LHd7+fn5tSjn6aqoqO7+cyXmLy0t5eDBgx1603A1Nscd7c3qfTSewutOND7W3bt3s2TJEjQaDTabjTfeeIPk5GS354hdqRKefPJJfHx8eOSRR5Tn3XLLLfz4448UFxcTGhrK9OnTeeedd7j00ksZOnQo999/v/Lcr776ijlz5qDX69FoNDz11FOMHz++2eNYtmwZv//+O/n5+TzzzDOtLnY2g07SBcjNzSUoKKhBKkGOhNLS0khLS2P79u1UVVWRkJCgkHD//v2bJR51xNY4b6vuh5cJQ/ZCaK6g1BiyBExuPmjtqJmWwGazcejQIYqLi/H19cVisbRbheBqH23p9moMtXRNfl/l7j9vb2/Ky8sBSExM7JCKvjw2pyW63sbtzY2VKE3dNFo7hbe9EEKwevVq5s2bx6WXXoqvry87duzgqquuIiUlxe37a5w2cEW6APPmzQPgn//8JwBXX301Tz75pOKR3RqUlZWRnp5Ojx49iImJUX4/duxYrrvuOqZOneouueO5PyOtJXAlZ9FoNERFRREVFcUtt9wCOJfie/bsIS0tjQ8//JDdu3ej0+kYOHAgAwcOJDk5mdjYWLRaLfv376eqqoqAgACSk5NP+sAkSVKIQD2nTF7iHTt27KScq7+/f4M8pqwYaDz7zF1Qd92FhIRwySWXKDcBtdY1Ly9PGeWjvmm0pFCnHkXeq1cv4uLi2nXTkCQJT09PPD096d69u3KsR44cIScnBx8fH2w2G7///nu75qq5Og/55tfSHLckSXh4eODh4aHkYdU3jbKyMo4ePaqsinx9fZWmhISEhA4pxjVGWVkZs2bNorKykhUrVtCzZ88O36crvPbaa3z00UckJyezYMECAgMDyc3NbbD0DwsLIzc3t9Xb/vjjj3nhhRcYPHgw33//PatXr+bCCy8E4NFHH2Xu3LlKoNWROK8i3bZCCEFVVRXbt28nLS2NrVu3sm/fPmw2G127duXhhx8mOTlZyUm2BbI4Xt0codfrMZvNGAyGFvnDtgXymHC9Xk9sbGyLlr3qQl1FRUWDyr6r4ldNTY3iotVRloKy33BjiVbjBgn1TUMm4pasNKB5Axx3QE5XZGZmKtJFd7U3N7fP77//nqeeeoqZM2cyefLk06ZMaBzpFhQUKNr4f/3rX5w4cYL333+f6dOnM2TIEG677TYA7rrrLsaOHctf//rXFu/r119/5YknnuDZZ59l8ODBPPfcc6xevbpBTnj27NkUFhYyb948unTp0t7T64x02wNZpTBy5EhGjhzJmjVrePzxx3nwwQfx8PAgLS2NN998k+LiYmJjYxXJ2sCBA1usEtDr9QQFBREUFKRMJigqKiIkJAS73a4MPWypec6poJ5+0Nphk1qtloCAgAavURe/8vPzlaKSw+FQhjW6MV/W4DyysrIoKysjPj7+pBuTbMGoTmOo27DllUZzulx1e21Hjc1R7+Oiiy5ScvXq9ubWTm8+FUpLS5k5cyZ1dXWsWbNGWYmdKcgrFoB77rmHa6+9FnCuUI8fP678LScnp8VNGLJePzw8nFdffZXExEQA/va3v7Fnzx7MZjMajQa9Xs+cOXO4/vrrWbZsGXfccUeH+Q13RrptQF1dHXq9/qSIw263s3//ftLS0ti2bRs7d+7Ebrdz4YUXkpycTHJyMgkJCU1GKmpJUFhYGKGhoQ2iDvUFWFFRoTQctEaTqy7+hIWFERYW1iFCejliCwwMRK/XK3377pp0AX+oK9zR+tp47FBNTY2idKmsrCQkJISoqKgOiQJb28LbXOOJmoibOlYhBCtXruSZZ57hscceY9KkSWdkkkPjSPfEiRMK8b/yyiukpaWxdOlS0tPTmTx5Mlu3biUvL48rr7ySzMzMVt1oCgoKCAgIUFZyGzduZMaMGWzevBmtVovdbker1bJmzRpeeeUVnn32WQYOHNie0+sspJ0JyE0WO3bsYOvWraSlpXHgwAH8/f0V7XBycjKhoaFs3boVwOUMt+agjtrUmly1p68sA6qpqSEjIwMPDw9iYmI6xNSlrq6OAwcOuExXNDbZVjedyMfakoGRcqMG0GGddxaLhQMHDmAymQgICKC2ttbltIv27Fs9hbe9LbyuZsCpRw/Jkrvq6mpSU1Ox2Wy8/vrrDaJLd8GVHCw1NZVvvvkGg8GgGE/9+uuvFBcXY7PZCAsLo6amBkmSCA0NJTIykrffflsh4WeffZb3338fnU7HwoULGTt2bIuPZ9OmTXzwwQe89957CrkuXbqUX375hUWLFmG1WhFCKNfDxIkTMRqNLF68uD2fSSfpni0QQlBcXKyoJTZt2kR6ejqBgYH89a9/ZejQoQwcOBB/f/92zyhT54dlLwp5CoW7CVeth42NjW2xtKmpnKua2GSDdXURKyYmxh15t5NwqrE56mGMLVUhuEJLpvC2F+rc+48//sjChQspLy8nKSmJW265hVGjRjXZWNAeuJKDrVmzhpEjR6LT6Zg5cyYAL7zwQof4JcgphXXr1ikqheTkZBYtWsTll18OwPvvv49eryc0NJRp06bx6quvMnr0aKqrqxk7diwpKSlMnDixPYfRSbpnIyorKxkxYgSpqakMGDCArVu3snXrVnbs2EFtbS19+/ZV0hL9+vVr08TW/Px8pUvK09NTKdbZbDalQCM7g7U1PyyrK9ylh5XJQm1KBE5Nqb+/PzExMW73oIW2jc1xZbIuS9fURCynlNo7hbctKC4uZsaMGUiSxAsvvEBOTg7bt29n4MCBXHHFFR2yz+bIdNmyZXz55Zd8+umnbiPdqqqqk3LtISEhRERE8O9//5uSkhI+/vhjPvvsMwD++te/snHjRi644AJSU1O5+uqrlddZLBZ3BCWdpHu2wmazuczxWiwWdu3apagl9u7di4eHBwMGDFCIuLkcozyG3MvLyyWBuDJXB07KDzdHbGo/ho5qopB1vRUVFfTs2VNpb5WX+uqiYlsJTD02Jy4urt0m8k15+2q1Wmpra+nVq1eHDAB1dRzLly/n+eef51//+hc33XTTacvdNkem48eP5+abb+a2225rt0lNSUkJ06ZN45prruFvf/sb69atIzs7m6lTp/Lll1+yevVqdu/eTUpKCr///jt33HEHCQkJPPTQQwAsWLCggTzSjTn7TvXC2YqmimoGg4HBgwczePBgwHkBlZeXs23bNtLS0li+fDlZWVmEhoYycOBApaNOkiQ2bNhAr169mpWZyfk+Hx8fpRKsjjCzs7OpqalBp9M1yA8bjUZlmX/ixIkOXebLBb+mdL3yUr+8vJxjx461qftPHpsTHBzMoEGD3HLRqd/bnj17YjKZ2LdvHxqNhsjISGpqahRnLHcbE8koLCxkxowZ6PV61q5d2yHKkbbg2WefRafTceuttwLOaFQ2OWqLSc1nn31GTk4Ow4YNA8DLy4v//ve/ir3rTTfdxOjRo/nvf//L5s2bFUXE7Nmzle+tnOc9XVK5zkj3Twy5S002+Vm5ciUlJSUMGzaMoUOHMmjQIPr3798uwxg5slQv9a1WK76+vkRERBAQEOB2aY26GNeaKQ6Nu/+qqqqadIeTI2i5AaG9s9yaOp7mWnibMiZSN560doKEEIKvv/6a+fPn8+STT3LDDTecFcoEgCVLlvD222/z008/NelH0lKTGhkHDhzgww8/JCQkhNtvv53AwEA2bdrEtm3bWLlyJX5+frz//vuUlpZy0003ceutt/Lwww8rr3dzdKtGZ3rhXMfzzz9Pfn6+4ncqm/zs2rULSZK46KKLlG6bPn36tHppa7FYyMzMxGw2ExkZ2YCMGysQWmp72Rhqc3R3+Qy4coez2WxYLBa6du1KRESE2ychQ9tbeF2ZKOn1+pPMflwdb0FBATNmzMDT05NXX321Q1YgLUVj0l21ahUPP/wwGzZsaBB1t8akpiksW7aM9evXM3z4cK6//nrAmV6bM2cOCxcuJDU1lRdeeIG6uroON3lXoZN0z3XIFVtXv6+urmbHjh2KfvjgwYMEBweTlJREUlISgwcPbtJbVo7WcnJymvR8cKVAaMlYJDXKy8vJyMiga9euHTIdF/4YmyOEICQkRPFMVk9kUI9GagsRNzeFt61ovNowmUyKdK2wsJCePXuybds2XnrpJZ5++mmuu+66DoluXUnBSktLufnmmxWP4i+++IJp06axfv16CgsLkSSpwXdLbpuW55e1xqRGTgPIkOshFouFhQsXUlZWxm233Ubfvn0B54rp3nvv5bLLLuPee+9VXteB0a0a5w/prlq1ipSUFOx2O3fffTezZs0604d01kFWNWzdulWJiPPz84mJiVH0wwMGDGDXrl1UVlYSFxfX6rbX5sYiqYnNarWSmZmJyWTqMBtMtSFRU2Nz1P6zFRUVLgdwnirNUVnZ+im8bT0f2UDn7bffZvny5RQUFDB06FCGDRvG/fff3yGz3lxJwR599FGCgoKYNWsWzz//PGVlZbzwwgt89913LFq0iO+++460tDRSUlJIS0tr9zHI8rcbbrgB+CPY2L9/P++99x5hYWHce++9yveotra2Q75TLcD5Qbp2u524uDh++OEHxa7x888/V1r/OtE07HY7Bw8eZMuWLWzcuJGVK1fi7e3NsGHDGDRoEIMGDSIxMbFd+VuLxaKQsOzZYLVa6dKlC6Ghofj7+7vd6F32ffDx8WnV2ByZ2NTWl3IbdmMpmLun8LYEDoeDL774gldeeYW5c+cyfvx4srOz2bZtG9dcc02HTUtonDbo06cP69evJyQkhBMnTjB8+HAyMjK47777GD58uGIipX5eS1FRUYHZbFZMgj799FOee+45br/9dh566CHFn0LG119/zYYNGxgxYgTXXXed8nuHw9Hi0V1uxPmhXti6dSsxMTFERUUBMGnSJFasWNFJui2AVqslISGB+Ph4li9fzssvv8wNN9ygmMAvWrSI9PR0fHx8lNxwcnJyq3S5BoOBrl27Kn69wcHBSidScXExWVlZbR6L1Bhys0ZxcXGbxuaoncHkri25UFdRUUFhYSGHDh3CarVisVgICgoiLi7utERV+fn5pKSkEBQUxIYNG5SoNjo6mujo6A7fvxoFBQUKkfbo0YOCggLAaaOqnjIhO4O1lHTLy8t56aWXlLRAVlYWH3zwAevWrVNIuKamBm9vb0VXO27cODIzM0lPT8dsNhMWFsawYcNO62ihluCcIl1XH3RLlzTHjx9nypQpFBQUIEkS9957LykpKU262Z+rkCSJ5cuXK1HB0KFDFd9SIQQlJSVs27aNLVu2sHTpUo4dO0avXr0Uk5+kpKQmTeDtdjtHjhw5aX6Yn59fA9tLufCVk5PTYI5aSyv6cn64e/fuJCcnu+2iU9t0duvWjczMTGpra4mLi8NkMp10vG0datkUHA4HS5cu5d///jfPPfcc48aNOyPKhKbgjmjSbrdjt9sJCAhgzpw5ZGdns2PHDvr06UNhYSHPP/88Xl5eZGdnk5uby/r16xVjJaPRyPjx43nppZdYtmwZr7/+upvOzL04p0i3PdDpdCxYsICBAwdSVVVFUlISo0ePBuChhx46yVj5XEZTF44kSXTp0oWxY8cqve/yIMa0tDTWrl3L/Pnzqa6uJjExUYmIL7zwQkUmFBUV1SwRqglLblFVV/TlKb6yl4BMxEajUZnyW1dXxwUXXNBhUae6hTc+Pv6k90seallRUUFWVpZSqGuJAqEpnDhxgpSUFLp27cqGDRva3cDhLnTv3l0xqjlx4oQShbbFGUy+oQ8ePBiDwUBlZSUvv/wy/v7+PP744yxcuJDvv/+eIUOGcOedd3LfffexYsUK/vKXvyjfp8TERGbNmkVkZGSHeIu4A+cU6bbHAi4kJESJtnx9fUlISGiTUfL5Bo1GoyxrJ0+eDDhzt7IJ/BtvvKGI8y+77DIlPxwTE9PiCFSn0ym2lzLU43uOHTtGbW2tkh/uqAtO3cI7cODAJjvgdDodgYGBDYhRrUDIy8trUKiTydjVMTscDj777DNee+015s2bxzXXXNOh0W1GRgY333yz8jgrK4unn36a8vJy3nnnHfz9/cnOzua7777jmmuuYcKECXz44YfMmjWLDz/8kL/85S8ATJgwgddee41JkyaRlpaGv7//KVMLAQEBrF27lvfee48tW7bwySef8NBDDzFv3jxWrFjBLbfcwsiRIwFYt24dNTU1xMXFnbQdV787m3BOFdJsNhtxcXH89NNPhIaGMmjQID777DNFQtJSHDlyhMsvv5y9e/fy8ssvs2TJEvz8/Bq42Xfi1LDZbIwaNYoHH3yQESNGNDCBP3z4MN27d2+QH27LCCJ5bI5WqyU8PFyRgbV1LJIrtGYKb2u22dg8x2q14uXlhVar5ejRo0RFRfH4448TEhLCggUL3D5U81Sw2+2EhoaSlpbGBx98wIoVK8jPz6e4uJju3bvz1FNPcd111zFx4kSOHTtGREQEX3zxBUFBQQghmD59OqtWrcLLy4sPPvjAZcNDY/nWm2++yaxZs3jyySeVVt0PP/yQTZs2cccdd9C/f39SU1P57bffmD9/vmJgcxbi/FAvAHz33Xc8+OCD2O12pk6dyuzZs1v1+urqaq644gpmz57NDTfc0KSb/akQGRmpmMjodDq2b9/uUtN4rhN4c/rh3Nxc0tLSFNlaSUkJcXFxSn54wIABTeZvWzI2R213KDdGNDcWyRXcMYW3pZA9Gw4dOsSTTz7J7t278fX15dJLL2X8+PGKTOp0Yc2aNTz11FP88ssvTc4vcxc++eQTxSPhyy+/JD8/nxtvvFEh6tTUVLRaLdOnT6eiokIJpJr6fp0FOH9Itz2wWq1ce+21XH311Q1aBWW0xhEpMjKS7du3N+gKakrT2Akn7HY7+/btU6Lh3377DSFEAxP4+Ph4du7cSXV1NeHh4a3WD7sai6Q2zpH1uB09hbcp5OTk8MADDxAeHs5LL72Ep6cnu3fvpra29rRHdVOnTmXgwIFMnz6dJ598skNWfCaTib///e8cP36cuXPnMmTIEKqrq3n44YeJj4/nwQcfRKPRsG3bNr788ktmzpypfBaNmyXOMnSS7qkghOBvf/sbQUFBLFy4UPl9U272p4Ir0m1K09gJ15AlWrIJ/K+//sovv/yCl5cX48aNU/wl1NOX24LGU4VNJhNWqxUfHx969+5NQEBAh1/cDoeDjz76iLfffpsXX3yR0aNHn9EIzmKx0LNnT9LT0+nevXubV3yN0Zgo9+/fzwMPPMAPP/xAUVGRMlQU4Omnn8bLy4t169bxv//9j/j4eLed32lAJ+meCps2beKyyy7jggsuUHJMzz33HJ9//rniX9DYzb459O7dW5FO3Xfffdx7770EBAQoo8GFEAQGBiqPO9E8hBBcc801jB07lptuuqlBfjgvL4/evXsr0fDAgQPx8/NrNWnJLbwFBQVERkbicDjaPBapNTh+/Dj/+Mc/iIqKYv78+R3W2NAarFixgtdff501a9ac9Lf2euAWFBTw1VdfMW7cOLp3787EiRPJyspi2LBhFBUVsWbNGg4dOkR5eTkrV65k6NChXHLJJcBZnU5ojE7SPd3Izc0lNDSUwsJCRo8ezaJFi5gwYUIDkg0MDKSsrKzJbZyqkny+aIdlNOU97HA4OHToEFu2bFFM4E0m00km8M0pGk7VwtuasUgthcPhYMmSJbzzzjssWLCAK6+88qwhlEmTJnH11Vdz5513Am1f8UFDovzkk0948cUXueaaaygtLSUhIYH777+fPXv2KN189913H5MmTWLEiBHKNk6TX4I70Um6ZxJyEeKdd95pc3qhcSW5I4sa5wLMZrNiAr9t2zbFBH7gwIEKEffu3VtJX3h5ebW6hbfxWKS6uroWycAAjh07xvTp04mLi2P+/PmnpXW4pcVdg8FAr169yMrKUhpYbr/99jat+GTIN8yZM2fy1FNPsWPHDu6++27+8Y9/MG3aNMCZapg/fz4ZGRmsWLHirPEAbiM6Sfd0oqamRpEr1dTUMHr0aObMmcNPP/1EcHCwUkgrLS1l/vz5Ldrm6awkn4uQTeDlAaEyEZvNZq666ir+8pe/kJSURHBwcJujzcZ+DY3HIhUUFBAfH89//vMfPvjgAxYsWMDIkSNPW3R7poq7e/fu5ZVXXmHx4sWMHj0ao9GIyWRi9uzZjBo1isLCQgwGA3PmzMHX15dnn33Wrfs/Qzg/vBfOFhQUFCi+njabjcmTJzNmzBgGDRrExIkTee+99xRNY0uxdOlSxTwE4LXXXuOjjz7q1A63EJIkERgYyNVXX83VV1/N66+/jtVqZfbs2eTm5rJx40ZefvllKioqiI+PV9zWZBP4lu7DlV+DbHv51ltvsXnzZkwmE+PHj+fYsWNYrdYz2jm1YsUK1q9fD8Df/vY3hg8f3i7SdeVZW1lZqTjKjRgxglWrVvHzzz+j1WrJycnh1VdfZfr06bz44otKw8lZrkxoFzoj3T8B2lpJbqn/aWBgIEIIUlJS+O677/Dy8mLJkiUMHDjwdJ/qaUNlZSW+vr4nRZlWq5X09PQGJvAajYYBAwYojRxxcXGttrl87733WLJkCQsXLmTQoEH8/vvvbN++nenTp5+2XGVHFndrampYtGgR48ePp2/fvvz888+Ul5czYcIEDh06xF//+lfWrFlDaWkpzz33HHa7naFDh/Luu+9y/fXX88QTTyjb+hMVy5pD0ycghGjuXyeEEO+++65YvXq1KCsrOyP7X758uRg9erTLv2VnZ4u+ffu6/NuGDRvEjh07Gvw9NTVVzJs3TwghxLx588Sjjz4qhBBi5cqVYsyYMcLhcIjNmzeLwYMHu/ks/pxwOByisrJSrFu3TsybN0/ccMMNol+/fmLEiBHikUceEUuXLhWHDx8W1dXVoqam5qR/e/fuFSNGjBAPPPCAqK6uPqPnkpOTI4QQoqCgQFx44YViw4YNwt/fv8FzAgIC2rz9rKwsYbVaRXp6uvj0009FWFiYWL9+vRBCiEcffVTMnTtXCCFESUmJeP3110Vqaqr47bff2ry/sxxN8mpneqEFuOeeexg9ejRFRUUkJiayZMkSqqurKSoqIjY2tsP3//nnnzdILagrycuWLaNfv34uX3f55Zdz5MiRBr9rajm5YsUKpkyZgiRJDBkyhPLy8gb7OV8hSRK+vr4MHz6c4cOHA85A5cSJE4oJ/OLFiyksLFRM4JOTk+nfvz+ff/45H3/8Ma+++iqXXXbZGY/eZB+Sbt26cf3117N169YmDWvagvDwcKZNm0ZUVBSzZs1Cp9Pxn//8h2+//Za+ffsqOe6goCCleAZnzO/2zKE5Rj4Tt4ezDXv27BG9e/cWQghRU1Mjrr32WrFu3TqRnZ0tnn32WeV5drtd2O12t++/urpaBAUFifLycuV3t912m+jXr5+44IILxPjx40VeXl6Tr28cCasjG4fDoTweN26c2Lhxo/K3kSNHim3btrnzVM5p2Gw2kZ6eLt5//31x3333iYiICHHTTTeJmpqaM31oQgjn96iyslL5eejQoeL7778VPacwAAAQbklEQVQXjzzySIOVT2pqarv2s3r1ajFlyhSxevVqIYTz+/d///d/wt/fX1xwwQUnPd/hcLRrf2cxOiPdtuKnn35S+ryLi4vp168fO3fuZMCAATzwwAPK8xrn5RwOh5Kbak/Oztvbm5KSkga/+/jjj9u8PTXOq+iig6HVaklMTCQxMZE777zztOQlW+MBHR8f77bibmPNrDpSveqqq9i5cyfff/89YWFhJCYm8tprr9GtWzfFt0L93pyP379O0j0Ftm/fjtVqxWw2880333Ds2DEGDRrEE088QWRkJDfddBOfffYZQUFBdO/enSFDhtClSxeXRGu329tNwu1FW/1PXRXlUlNT+eabbzAYDERHR/PBBx8QEBDAkSNHSEhIoE+fPsAfQwjPJ5wOMmmtB/Tvv/9+0jaCg4P56aefWrVfjUbD0aNHWb9+PePHj8ff318Za6/T6bjvvvtITU3lhx9+wN/fn9DQUGbPnq0UH89HolXjT9XicSawefNmDAYDY8eO5YcffuCBBx4gKSmJkpIShg0bRm5uLh999BGbNm1i7dq1vPDCC8ydO5fZs2fz+OOPc/DgQUS9QkSr1TYgXCEEdrsdh8Nx2s5H9j8FTvI//eijjxBCsGXLlpP8T++44w5WrVrVYFujR49m79697N69m7i4OObNm6f8LTo6ml27drFr167zjnBPF0JCQhSFSUd7QMvfYYA33niDMWPGsHPnTlJTU5VWYXleXGBgIDfffDM7duxQOgi1Wq2y+jvv0Vzu4bRmQM5CmM1mERwcrDy22WxCCCF27twpxo4dK6qqqsTixYvFbbfdpuRcP//8c3HRRReJRYsWifvvv1/ce++94s033xTjxo0T9913X7P518awWCztOv5JkyaJHj16CJ1OJ0JDQ8W7774riouLxciRI0VMTIy48sorRUlJiRDCmVubNm2aiIqKEv369XOZz21OKfH111+LyZMnn/J5negYZGdni/DwcFFRUSGeeOIJERERIS644AJx5513itLS0jZvV/7OC+FUHWzcuFHMmjVLmEwm8cMPP4gePXqIu+++W2zZskUIIRrUNV588UUxc+ZM8frrr7f9xP68aJJXO0m3Gfz444/Cx8dHCOEkYCGcX6oVK1aISZMmCSGEePzxx8Wrr76qFATmzp0rZs6cqWzDYDCIN998U+Tm5oorrrhCrFmzRgghxKeffipuvPFGcc8994g1a9a4LMKtWrVKvPTSS6KwsLBDz7OlaI5Mr732WvHxxx8rz/Py8hIXXXSRuPzyy8XPP/98Og/zvENVVZUYOHCg+Oqrr4QQQuTn5wubzSbsdrt47LHHxJ133tnufXzzzTfi0ksvFUePHhU1NTXitddeE8OGDRPLly8Xd999t3jiiScUSaVM1MXFxeLxxx8/l2VhzaGTdNuCnJwc8e233wohhLBarUIIIWpra8WcOXPEjBkzRG1trUhJSRGff/65EEKIoqIikZqaKt577z0hhPPLr1YLpKSkiHfffVcI4Ywajhw5IpYtWyZuvPFGUVBQcNL+HQ5Hk4qIjlBKnApNke7cuXPFddddp9x4TCaTKC4uFkIIsX37dhEWFiYqKiqU5995552ia9euDbb1xBNPiJ49e4r+/fuL/v37i5UrVyp/e+6550R0dLSIi4sTq1at6qjT+1PCYrGIq666SixYsMDl39uy6sjNzW3w+LrrrhPjxo0Tu3fvFkIIUVdXJyZOnCgyMzOFEM7Pc9SoUcq1IsSZ+X6eZWiSVztzus0gNDSUcePGOWUe9bkpvV5PUlIS48ePJycnh4qKCsVU+ejRo5hMJqUFdOPGjcTExCh/0+v1+Pj44HA4+Oabb/jXv/7FwYMHKSsrY9u2bSftf8qUKaxcuZKdO3fyww8/NMj9ulJL2O32DnkfmsOSJUv49ttv+fTTT5UCidFoVCY5JCUlER0dzcGDB5XXuMoPg7P4I+eBZde0ffv2sXTpUtLT01m1ahXTpk07I+d5NkIIwV133UVCQkID0/0TJ04oPzen43aF0tJS5syZw5EjR1i0aBFbtmxhwoQJrF27lsjISAA8PDyw2+3MmDGDxYsXc+jQIWbNmsW4ceOU7fzJHMFOKzrfmWYg6pP+6mqrTqdjwoQJXHHFFcTGxrJgwQLF67OyshKtVqtIdZYvX05SUhLgVANYLBb69u3Lu+++y5IlS5g6dSp5eXk4HA6sViuAQqwnTpxACIG/vz92u53U1FQ0Gg1CCHbu3MmCBQsAp/wHnF/yxq2p8jhr+TzcjVWrVjF//nz+97//NZi8W1RUpBBjVlYWmZmZREVFKX+//PLLWzyJYcWKFUyaNAmj0Ujv3r2JiYlh69at7j2RPyl++eUXPv74Y9auXctFF13ERRddxHfffcejjz7KBRdcwIUXXsi6det45ZVXTrkt+XsXFBSEt7c3/fr148cffyQsLIw777yTAQMG8NhjjynP//DDD4mOjmbDhg0sXryYK6+8EqDDvmvnEjolY82gKWmLWqeoJo8RI0YwfPhw5QscEhKifBkzMjKoqqqiS5cubN++nTFjxjB8+HCsVitlZWXKduRtZ2RkYDAYiIqKIi8vT5F2HTx4kA8++IDw8HDsdjtvvPEGH3zwAaGhodx2221MmjRJOZ7GJLx+/Xqio6MJCQlRKs0t9RC45ZZbWL9+PcXFxYSFhfHUU08xb948zGazIlOSpWE///wzc+bMQa/Xo9FoeOutt1pEsq5MfHJzcxkyZIjynLCwsPNuSvOqVatISUnBbrdz9913M2vWLAAuvfRSlyTXWm/lxrrbiy66iMjISK688krCwsIAZ8ScmJjILbfcwiWXXIK3tzcvvPCCor2Vt3G+y8FahOZyD6c1A3KO4/jx42LdunXCZrOJL774QvTr10/cfvvt4tJLLxUTJkxQ8mhy7viNN94Qjz76qCgpKRH79u0T//jHP0ReXp6YN2+euOeee4TdbhfPPPOMmDJlihBCiDVr1ojHHntMmEwmcfjwYTFt2jQxZswY8fLLL4vc3FyRl5cnpk2bJvbv36/s51//+pfShXa6O4Ma5xqbKv783//9n1KgE0KIqVOniv/+97/KY1f54YkTJyq54YiICNG/f39lnx4eHsrf7rvvvo4+zXbDZrOJqKgocfjwYWE2m8WFF14o0tPT3bJt9We+b98+cddddyn1iSNHjojevXuLnTt3Ks9ZtGiR8PLyOmk7nflbl+jsSDsTUEeSYWFhStRw0003cfHFF7Nr1y6sVisFBQVKJChHHFlZWYSHh2MwGEhISCAnJ4dly5Zx6NAhbr31VgoLC9m6dSt79uzhyiuvxGAwUF5ezrXXXsuPP/6I0Whk7ty5LF++nO3bt3Po0CHef/99jh49yoMPPsjll1/O008/raQn1BGKOAMuT3IeHJxeF9deey1w6qaNO+64g+nTpzNlyhTld//5z3+Un2fMmKEYccMf+uE/C7Zu3UpMTIySnpk0aRIrVqwgMTGx3duWP+OlS5fyySefkJSUxJtvvkl+fj4PPvgg99xzD7NmzWL16tW8++67TJ8+nYiICKDhd6Qzf9s6dJJuB0K9dG9MZL169aJXr14nvUbu7CkrK+Piiy9WJgrITRh33303F198MVVVVZjNZrZv345Wq2Xjxo3k5+fTv39/li1bxt69ewkICOCZZ54B4P3332fSpEnExMSg0Wj44osv2Lp1K0899RQajYbdu3fTq1cvIiIiTiLc0tJS3n33XQAmT56s3DzciaZMfCZMmMDkyZN5+OGHycvLIzMzk8GDByuvc2XqI0MIwRdffMHatWvdfrynC7m5uYSHhyuPw8LCSEtLa/P29u3bpxC23W5n8+bNzJo1izlz5jB16lRWrVrFsmXL+Pbbb/nnP//J77//zqhRo6iurub6669n/PjxQGdXWXvQeYs6TXD1JRVCuOxGy87OxtfXlxtvvBFwerxOnDiR2tpa7r77bry8vPD19aWqqoqcnBwCAgIYP34899xzD56ensyfP58pU6bw3HPPKVHfwYMHSU5OZvbs2YwcOZJjx44RHByMt7c38+fPZ8GCBVx33XX85S9/Udp85WM7ePAgaWlp7NmzR4k65QhZPo/W4JZbbmHo0KFkZGQQFhbGe++912Txp2/fvkycOJHExETGjBnD66+/3uI89MaNG+nevXsDJ7js7GwGDBjAFVdcwcaNG1t13H9mCCGYMWMGAwcOZOHChcqMt4SEBMaMGcP//vc/AMaMGUNcXBw//fQTBw4c4KOPPlJUDLIipRPtRHO5h85/Z+Yf0A/4BrjzFM8bAewBtgLvARcDwUC3+r8PB/Lqf/4AuBnwrH/8FnBX/c+HgMvrf+4N+NT/rK3//2bgGSC40e91Lo5J/pvnaXy/IoG9Ln7/JjBD9dioOock4Djgd6Y/71Oc21BgterxP4F/tnFb/wD+BzwPrAYC638fBywF7ql/3AP4ELiJ+kEH6s+281/7/nVGumchhBB7hRDjgU8AJCdOCu+EEOuEEBcAtwH/BTKBAcBmSZJWAZOB7yVnmC0BWUKIOkmSggAvnKQD8DpwlyRJtwkhsoUQ1fXblwWxoYA6JP9BkqRBQgibJEmj6rdHo9f8Q5KkIkmS3pckKZTTDEmSdMANgJLgFUKYhRAl9T/vAA7jJJyzGduAWEmSekuSZAAm4STOFkP6Y5m1E+gDzMH5XZkpSdIkIcRB4AtgvCRJfYUQ+cDjQoj/inq2hQafbSfagU7SPYshhLDW/y9cfeHli0kIcVAIsUoIUSqE+BGIB54ClgMP1l84OcBnkiSNAi7ASaLF9a9/BVgA3ChJ0rON9uEJdAGKhBAl9fvMBDwkSfIBVgLT6p87TZKkgfXk8HX9MfgDBtX2ZkqStEaSpEFuepuawijggBAiR7XvrvLNS5KkKCAWyOrg42gXhBA2YDrOyHQ/8IUQIr2V2xCSJElCiF+ALTg/z5k4V0ZvSJI0Aednug0YU/+a49CAsDvhJnQW0v7EkKOQ+gtK/bMV2Nzo6fNwXlRVQABwAiiQJGkyzujnbeB3nKkNJEnS12+nJ86oWG5z8sGZ0kgGgoA1gI8kSV44yeEnIYQFOCRJUgmQi5Pw5Qv4TZwkHV1/PO2CJEmf40yjdJEkKQd4QgjxHs6I8PNGT78ceFqSJCvOm879QojS9h5DR0MI8R3wXTu3IepvknXA/TjJdQ/OVc7tQD4wTwiR1/h17dlvJ05GJ+meA2i0BFTIV/1YCFEDrFC9bHX9844BlwDLgF+AxxttvhfO1ERu/XaqJEkyARNx5oV/xUnMFwPZQoiM+u36AuFAqRDCKt8YJEmqxRmx7XXTud/SxO/vcPG7r4Cv3LHfPyOEENWSJO0DFgLXCyFWAEiSlI4z919R/1gjhDh9fqPnGTpJ9xyFqwhFvpjUkbEQYhOwycUmZHlCBGDGGQnJiMNZiMrDGTFGAZfhLMbICMJZ1Ntf/1hbv82LAStQ2LYz60Q78R9gMM6bpbwy2q/6WXQSbseiM6d7HkG+mNSELEmSRpIkrSRJmkbPlZ8TAhwXQhxR/dkbZ7ohE6fyYSxOUv1e9ZyuOPO58uvk3OAA4CjONEcnTj9qcSpUuoDrVVInOhb/D9aqLMeO2+LrAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "80dzLpaATVM5"
},
"source": [
"### TASK: 7\n",
"7. Išskirkime iš įvesties P ir išvesties T duomenų rinkinių fragmentus, turinčius po 200 pradžioje esamų duomenų – taip vadinamą apmokymo duomenų rinkinį. Remiantis šiuo rinkiniu apskaičiuosime optimalias neurono svorio koeficientų reikšmes (autoregresinio modelio parametrus). Likę duomenys bus panaudoti modeliui verifikuoti. Tuomet, panaudojant jau esamas P ir T matricas,apibrėžkime dvi naujas – Pu ir Tu, kurios turės pirmus 200 duomenų."
]
},
{
"cell_type": "code",
"metadata": {
"id": "DKvppj1dWDV6"
},
"source": [
"# TASK: 7\n",
"x_train = X[:TRAIN_SIZE] # aka Pu\n",
"x_test = X[TRAIN_SIZE:]\n",
"\n",
"y_train = y[:TRAIN_SIZE] # aka Tu\n",
"y_test = y[TRAIN_SIZE:]\n",
"\n",
"train_timeline = np.array(timeline[:TRAIN_SIZE])\n",
"test_timeline = np.array(timeline[TRAIN_SIZE:])"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "jCrn4MryT9Af"
},
"source": [
"### TASK: 8\n",
"8. Sukurkite tiesinės autoregresijos modelį panaudojant apmokymo duomenų matricas Pu ir Tu. Python mokomoji medžiaga pateikta adresu https://realpython.com/linear-regression-in-python/ ."
]
},
{
"cell_type": "code",
"metadata": {
"id": "TQuGrcxfZcmO"
},
"source": [
"# TASK: 8\n",
"regr = LinearRegression()\n",
"_ = regr.fit(x_train, y_train)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "AxDIxjRIUGLW"
},
"source": [
"### TASK: 9\n",
"Pavaizduoti gautas koeficientų reikšmes."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "JXSbl3qt6Naq",
"outputId": "0191fc1c-1f96-41cb-eb0d-7f814547de3d"
},
"source": [
"# TASK: 9\n",
"w1_coef = regr.coef_[0]\n",
"w2_coef = regr.coef_[1]\n",
"bias = regr.intercept_\n",
"print(\"Tiesinio modelio svoriai:\")\n",
"print(\"w1 = %f\\nw2 = %f\\n\" % (w1_coef, w2_coef))\n",
"print(\"Regresijos šališkumas(bias):\")\n",
"print(\"bias = %f\" % (bias))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Tiesinio modelio svoriai:\n",
"w1 = -0.676082\n",
"w2 = 1.371509\n",
"\n",
"Regresijos šališkumas(bias):\n",
"bias = 13.403683\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ma9fG8OOVAL7"
},
"source": [
"### TASK: 10\n",
"10. Sekančiame žingsnyje atliksime modelio verifikaciją – t.y. patikrinsime prognozavimo kokybę\n",
"atliekant modelio veikimo imitaciją. Pradžioje tai atliksime su apmokymo duomenų rinkiniu, kuris\n",
"buvo panaudotas svorio koeficientams apskaičiuoti.\n",
"\n",
" Tarkime, turime suprognozuoti salės dėmių aktyvumą 1702–1901 metais. Tuo tikslu padavinėsime į\n",
"modelio įėjimus aktyvumo rinkinius tokiais metais: 1700 ir 1701, 1701 ir 1702, …, 1899 ir 1900. Tai\n",
"galima atlikti automatizuotu būdu paduodant įvesties duomenis, esančius matricoje Pu. Pasėkoje\n",
"gausime rezultatų vektorių Tsu, t.y. prognozuojamas aktyvumo reikšmes 1702–1901 metams.\n",
"\n",
" Kadangi turime tikrąsias dėmių aktyvumo reikšmes nagrinėjamu laiko periodu (Tu), jas galime\n",
"patikrinti su prognozuojamomis reikšmėmis (Tsu). Gautame grafike vaizdavimai turi būti\n",
"paženklinti skirtingomis spalvomis bei turėti legendą.\n",
"\n",
" Modelio verifikaciją taip pat atlikite su nematytu duomenų rinkiniu – testavimo rinkiniu, t.y. su\n",
"duomenimis nuo 201 eilutės. Bei sukurkite analogiškus grafikus vaizduojant Tu ir Tsu reikšmes."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 573
},
"id": "5mjKNVuHZ42S",
"outputId": "7f178d1d-603f-4f70-aac5-cf227e25db99"
},
"source": [
"# TASK: 10\n",
"# train data\n",
"pred = regr.predict(x_train)\n",
"\n",
"plt.figure()\n",
"plt.plot(train_timeline, pred, label=\"Prognozuoti duomenys\")\n",
"plt.plot(train_timeline, y_train, label=\"Pradiniai (apmokymo) duomenys\")\n",
"plt.xlabel(\"Metai (year)\")\n",
"plt.ylabel(\"Saulės dėmės (spots)\")\n",
"plt.title(\"Saulės dėmių skaičius pagal metus\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"# test (unseen) data\n",
"pred1 = regr.predict(x_test)\n",
"\n",
"plt.figure()\n",
"plt.plot(test_timeline, pred1, label=\"Prognozuoti duomenys\")\n",
"plt.plot(test_timeline, y_test, label=\"Pradiniai (testavimo) duomenys\")\n",
"plt.xlabel(\"Metai (year)\")\n",
"plt.ylabel(\"Saulės dėmės (spots)\")\n",
"plt.title(\"Saulės dėmių skaičius pagal metus\")\n",
"plt.legend()\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "l6UFyB9BVTFm"
},
"source": [
"### TASK: 11\n",
"Sukurti prognozės klaidos vektorių e (žr. išraiškos 1.2 paaiškinimą). Nubraižyti prognozės klaidos grafiką. Aprašyti jo ašis ir suteikti pavadinimą."
]
},
{
"cell_type": "code",
"metadata": {
"id": "1Xd7YaOIdZhg",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"outputId": "2ac89531-93b5-4f6e-dfad-dafccccdbc96"
},
"source": [
"# TASK: 11\n",
"def get_error_vector(initial, predicted):\n",
" return [initial[i] - predicted[i] for i in range(len(predicted))]\n",
"\n",
"err_vector = get_error_vector(y_train, pred)\n",
"plt.figure()\n",
"plt.plot(train_timeline, err_vector)\n",
"plt.xlabel(\"Metai (year)\")\n",
"plt.ylabel(\"Klaida\")\n",
"plt.title(\"Prognozės klaidų vektorius\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Crtgb550V4YI"
},
"source": [
"### TASK: 12\n",
"\n",
"Nubraižyti prognozės klaidų histogramą (`hist`). Ją pakomentuokite.\n"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "Dn9Ocd3ifgjM",
"outputId": "f3dece26-6bee-44b6-f936-7bb55a513255"
},
"source": [
"# TASK: 12\n",
"\n",
"plt.figure()\n",
"plt.hist(err_vector)\n",
"plt.xlabel(\"Paklaida\")\n",
"plt.ylabel(\"Dažnumas\")\n",
"plt.title(\"Klaidų vektoriaus histograma\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "uD2Zu_QzXKoe"
},
"source": [
"### TASK: 13\n",
"13. Remiantis (1.3) apskaičiuoti vidutinės kvadratinės prognozės klaidos reikšmę (ang. Mean-SquareError, MSE):\n",
"\n",
" 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)\n",
"\n",
" Šiame darbe MSE įvertis neturi viršyti 300.\n",
" \n",
" Apskaičiuokite prognozės absoliutaus nuokrypio medianą (ang. Median Absolute Deviation)\n",
"\n",
" ![image.png](data:image/png;base64,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)\n",
"\n",
" Palyginkite skirtumus tarp MSE ir MAD įverčių ir pakomentuokite.\n",
"\n",
" Sekančiuose punktuose sukurto scenarijaus tekstą modifikuosime, kad modelio svorio koeficientai būtų skaičiuojami iteraciniu metodu – atliekant neurono apmokymo procedūrą. \n",
"\n"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "UXltU7CLfnZY",
"outputId": "65a50085-2927-4c0e-82f1-bedad4326f8c"
},
"source": [
"# TASK: 13\n",
"\n",
"def get_mse(initial, predicted):\n",
" err = 0.0\n",
" for i in range(len(initial)):\n",
" err += (predicted[i] - initial[i]) ** 2\n",
" return err / len(predicted)\n",
"\n",
"def get_mad(predicted):\n",
" return np.median(np.absolute(predicted - np.median(predicted))) \n",
" \n",
"mse = get_mse(y_train, pred)\n",
"mad = get_mad(pred)\n",
"print(\"Vidutinės kvadratinė paklaida:\")\n",
"print(\"MSE = %f\" % (mse))\n",
"print(\"Absoliutaus nuokrypio mediana:\")\n",
"print(\"MAD = %f\" % (mad))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Vidutinės kvadratinė paklaida:\n",
"MSE = 217.172080\n",
"Absoliutaus nuokrypio mediana:\n",
"MAD = 19.172113\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "lgUkipQYi_7R"
},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "VF1o5zj1fRt3"
},
"source": [
"### TASK: 14, 15, 16\n",
"\n",
"14. Scenarijų išsaugokite nauju vardu (padarykite sukurtos programos kopiją).Eksperimento būdu parinkite mokymosi greičio lr reikšmę (0< lr <= 1). Parenkama reikšmė (pvz. 0.1), ji naudojama modelyje (žr. sekantį žingsnį). Jei modelis nekonverguoja, parinkta reikšmė mažinama (pvz. 10 kartų) ir procesas kartojamas kol modelis nepradės konverguoti.\n",
"\n",
"15. Panaudojant aprašą pateiktą adresu https://www.bogotobogo.com/python/scikit-learn/SingleLayer-Neural-Network-Adaptive-Linear-Neuron.php sukurti tiesinį neuroną.\n",
"\n",
"16. Apibrėžti siekiamą mokymosi klaidos MSE reikšmę (ang. error goal) intervale 150 – 300 ir maksimalų epochų kiekį (pvz. 1000). (Pastaba. Vienos epochos metu modelis panaudoja visą duomenų rinkinį. Vienos iteracijos metu modelis panaudoja tik vieną duomenų rinkinio eilutę.)"
]
},
{
"cell_type": "code",
"metadata": {
"id": "MTHmtGR5i7IN"
},
"source": [
"### TASK: 14, 15, 16\n",
"\n",
"class AdaptiveLinearNeuron(object):\n",
" def __init__(self, rate = 0.01, niter = 10):\n",
" self.rate = rate\n",
" self.niter = niter\n",
"\n",
" def fit(self, X, y):\n",
" \"\"\"Fit training data\n",
" X : Training vectors, X.shape : [#samples, #features]\n",
" y : Target values, y.shape : [#samples]\n",
" \"\"\"\n",
"\n",
" # weights\n",
" self.weight = np.zeros(1 + X.shape[1])\n",
"\n",
" # Number of misclassifications\n",
" self.errors = []\n",
"\n",
" # Cost function\n",
" self.cost = []\n",
"\n",
" for i in range(self.niter):\n",
" output = self.net_input(X)\n",
" errors = y - output\n",
" self.weight[1:] += self.rate * X.T.dot(errors)\n",
" self.weight[0] += self.rate * errors.sum()\n",
" cost = (errors**2).sum() / 2.0\n",
" self.cost.append(cost)\n",
" return self\n",
"\n",
" def net_input(self, X):\n",
" \"\"\"Calculate net input\"\"\"\n",
" return np.dot(X, self.weight[1:]) + self.weight[0]\n",
"\n",
" def activation(self, X):\n",
" \"\"\"Compute linear activation\"\"\"\n",
" return self.net_input(X)\n",
"\n",
" def predict(self, X):\n",
" \"\"\"Return class label after unit step\"\"\"\n",
" return self.activation(X)\n",
"\n",
"\n",
"learning_rate = 0.0000001 # aka lr\n",
"epoch_no = 10000"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "-yoj2BZUf8cq"
},
"source": [
"### TASK: 17\n",
"Įvykdyti modelį. Atspausdinti gautas po apmokymo svorio koeficientų reikšmes. Jas palyginti su gautais 9 žingsnyje.\n"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "emXiSgrMt-2L",
"outputId": "a6c58c0e-47e4-4487-8416-f1b963f4df2e"
},
"source": [
"### TASK: 17\n",
"\n",
"aln = AdaptiveLinearNeuron(learning_rate, epoch_no).fit(x_train, y_train)\n",
"\n",
"\n",
"print(\"Regresijos šališkumas(bias):\")\n",
"print(\"bias = %f\" % (aln.weight[0]))\n",
"print(\"Tiesinio naurono svoriai:\")\n",
"print(\"w1 = %f\\nw2 = %f\\n\" % (aln.weight[1], aln.weight[2]))\n",
"\n",
"# Tiesinio modelio svoriai (9 žingsnio)\n",
"# w1 = -0.676082\n",
"# w2 = 1.371509"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Regresijos šališkumas(bias):\n",
"bias = 0.934576\n",
"Tiesinio naurono svoriai:\n",
"w1 = -0.586254\n",
"w2 = 1.462604\n",
"\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "d7nIlMZegtwz"
},
"source": [
"### TASK: 18, 19\n",
"\n",
"18. Papildomai prie užduotų darbo metu klausimų, atsakykite raštu ir šiuos klausimus:\n",
" - Ar mokymosi procesas yra konverguojantis? Jeigu ne, pamąstyti kas gali būti priežastimi ir pakeisti atitinkamą parametrą.\n",
" - Kokios yra naujos neurono svorių koeficientų reikšmės ?\n",
" - Kokia yra neurono darbo kokybės įverčio MSE ir MAD reikšmės ?\n",
"\n",
"19. Procedūrą pakartoti kitoms 17 punkto parametrų reikšmėms. Ištirti jų reikšmės įtaką į mokymosi proceso eigą ir prognozavimo kokybę. Kokia yra maksimali leistina mokymosi proceso greičio koeficiento lr reikšmė, kuri užtikrina proceso konvergenciją? "
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 573
},
"id": "8uBP166tzzvf",
"outputId": "caefe773-c661-4981-9bba-c41001c84959"
},
"source": [
"### TASK: 19.1\n",
"\n",
"# train data\n",
"pred = aln.predict(x_train)\n",
"\n",
"plt.figure()\n",
"plt.plot(train_timeline, pred, label=\"Prognozuoti\")\n",
"plt.plot(train_timeline, y_train, label=\"Pradiniai\")\n",
"plt.xlabel(\"Metai (year)\")\n",
"plt.ylabel(\"Saulės dėmės (spots)\")\n",
"plt.title(\"Saulės dėmių skaičius pagal metus\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"# (unseen) test data\n",
"pred1 = aln.predict(x_test)\n",
"\n",
"plt.figure()\n",
"plt.plot(test_timeline, pred1, label=\"Prognozuoti\")\n",
"plt.plot(test_timeline, y_test, label=\"Pradiniai\")\n",
"plt.xlabel(\"Metai (year)\")\n",
"plt.ylabel(\"Saulės dėmės (spots)\")\n",
"plt.title(\"Saulės dėmių skaičius pagal metus\")\n",
"plt.legend()\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 573
},
"id": "TKfBMoK_9zLA",
"outputId": "965dd664-323f-4bea-ab53-6cf90765ac6b"
},
"source": [
"### TASK: 19.2\n",
"\n",
"err_vector = get_error_vector(y_train, pred)\n",
"plt.figure()\n",
"plt.plot(train_timeline, err_vector)\n",
"plt.xlabel(\"Metai (year)\")\n",
"plt.ylabel(\"Klaida\")\n",
"plt.title(\"Prognozės klaidų vektorius\")\n",
"\n",
"plt.figure()\n",
"plt.hist(err_vector)\n",
"plt.xlabel(\"Paklaida\")\n",
"plt.ylabel(\"Dažnumas\")\n",
"plt.title(\"Klaidų vektoriaus histograma\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": "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"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "z-QOwfAf1dgw",
"outputId": "6dc5048c-69a3-4006-ecb0-cd4eb15e6293"
},
"source": [
"### TASK: 19.3\n",
"\n",
"mse = get_mse(y_train, pred)\n",
"mad = get_mad(pred)\n",
"print(\"Vidutinė kvadratinė paklaida:\")\n",
"print(\"MSE = %f\" % (mse))\n",
"print(\"Absoliutaus nuokrypio mediana:\")\n",
"print(\"MAD = %f\\n\" % (mad))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Vidutinės kvadratinė paklaida:\n",
"MSE = 272.983622\n",
"Absoliutaus nuokrypio mediana:\n",
"MAD = 22.217019\n",
"\n"
],
"name": "stdout"
}
]
}
]
}
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1803 43
1804 48
1805 42
1806 28
1807 10
1808 8
1809 3
1810 0
1811 1
1812 5
1813 12
1814 14
1815 35
1816 46
1817 41
1818 30
1819 24
1820 16
1821 7
1822 4
1823 2
1824 9
1825 17
1826 36
1827 50
1828 64
1829 67
1830 71
1831 48
1832 28
1833 9
1834 13
1835 57
1836 122
1837 138
1838 103
1839 86
1840 65
1841 37
1842 24
1843 11
1844 15
1845 40
1846 62
1847 99
1848 125
1849 96
1850 67
1851 65
1852 54
1853 39
1854 21
1855 7
1856 4
1857 23
1858 55
1859 94
1860 96
1861 77
1862 59
1863 44
1864 47
1865 31
1866 16
1867 7
1868 38
1869 74
1870 139
1871 111
1872 102
1873 66
1874 45
1875 17
1876 11
1877 12
1878 3
1879 6
1880 32
1881 54
1882 60
1883 64
1884 64
1885 52
1886 25
1887 13
1888 7
1889 6
1890 7
1891 36
1892 73
1893 85
1894 78
1895 64
1896 42
1897 26
1898 27
1899 12
1900 10
1901 3
1902 5
1903 24
1904 42
1905 64
1906 54
1907 62
1908 49
1909 44
1910 19
1911 6
1912 4
1913 1
1914 10
1915 47
1916 57
1917 104
1918 81
1919 64
1920 38
1921 26
1922 14
1923 6
1924 17
1925 44
1926 64
1927 69
1928 78
1929 65
1930 36
1931 21
1932 11
1933 6
1934 9
1935 36
1936 80
1937 114
1938 110
1939 89
1940 68
1941 48
1942 31
1943 16
1944 10
1945 33
1946 93
1947 152
1948 136
1949 135
1950 84
1951 69
1952 32
1953 14
1954 4
1955 38
1956 142
1957 190
1958 185
1959 159
1960 112
1961 54
1962 38
1963 28
1964 10
1965 15
1966 47
1967 94
1968 106
1969 106
1970 105
1971 67
1972 69
1973 38
1974 35
1975 16
1976 13
1977 28
1978 93
1979 155
1980 155
1981 141
1982 116
1983 67
1984 46
1985 18
1986 13
1987 29
1988 100
1989 158
1990 143
1991 146
1992 94
1993 55
1994 30
1995 18
1996 9
1997 22
1998 64
1999 93
2000 119
2001 111
2002 104
2003 64
2004 40
2005 30
2006 15
2007 7
2008 3
2009 4
2010 16
2011 57
2012 58
2013 65
2014 79
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