{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "2021030801.ipynb", "provenance": [], "collapsed_sections": [], "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "_k5tMB9V9yTc" }, "source": [ "# [분산, 표준편차 구하기(Finding The Variance And Standard Deviation)](https://min7014.github.io/math20210308001.html)\n" ] }, { "cell_type": "markdown", "metadata": { "id": "RN20_e8N93t2" }, "source": [ "### [참고]\n", "\n", "[Geogebra와 수학의 시각화](https://www.geogebra.org/m/gsARCQs5)" ] }, { "cell_type": "markdown", "metadata": { "id": "eF0DuRj6r6PN" }, "source": [ "**[영문버전]**" ] }, { "cell_type": "markdown", "metadata": { "id": "kDDu45scB_3h" }, "source": [ "https://www.geogebra.org/m/qhbmhpwe" ] }, { "cell_type": "markdown", "metadata": { "id": "bNNmntuAT-fq" }, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "CDAa7jDZs1Xl" }, "source": [ "01. Geogebra를 실행시킨다.\n", "\n", "02. 대수창에 오른쪽 방향 선택하면 아래방향으로 바뀌면서 추가메뉴가 나오고\n", "\n", " **첫번째 아래방향 --> Sort by --> Construction order**" ] }, { "cell_type": "markdown", "metadata": { "id": "V_oHd4TUs23J" }, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "pEnSGit1tPA_" }, "source": [ "03. Input에\n", "\n", " **Data1={9,7,6,6,9,5,7,6,7,8}**\n", "\n", " 입력하여 Data1라는 list를 만든다.\n", "\n", " \n", "\n", "04. Input에\n", "\n", " **Data2={6,7,7,6,8,7,7,7,7,8}**\n", "\n", " 입력하여 Data2라는 list를 만든다.\n", "\n", " \n", "\n", "05. 대수창과 기하창 경계에 마우스를 위치시켰을때 마우스 커서가 좌우화살표로 변한다.\n", "\n", " 이때 왼쪽 마우스를 누른상태로 대수창을 넓혀서 Data1과 Data2의 내용이 다 보이도록 창의 너비를 조절한다.\n", "\n", " \n", "\n", "06. Input에\n", "\n", " **NumberOfD1=CountIf[x==x,Data1]**\n", "\n", " 입력하여 NumberOfD1라는 수를 만든다.\n", "\n", " \n", "\n", "07. Input에\n", "\n", " **NumberOfD2=CountIf[x==x,Data2]**\n", "\n", " 입력하여 NumberOfD2라는 수를 만든다.\n", "\n", " \n", "\n", "08. Input에\n", "\n", " **SumOfD1=Sum[Data1]**\n", "\n", " 입력하여 SumOfD1이라는 수를 만든다.\n", "\n", " \n", "\n", "09. Input에\n", "\n", " **SumOfD2=Sum[Data2]**\n", "\n", " 입력하여 SumOfD2이라는 수를 만든다.\n", "\n", " \n", "\n", "10. Input에\n", "\n", " **AverageOfD1=SumOfD1/NumberOfD1**\n", "\n", " 입력하여 AverageOfD1이라는 수를 만든다.\n", "\n", " \n", "\n", "11. Input에\n", "\n", " **AverageOfD2=SumOfD2/NumberOfD2**\n", "\n", " 입력하여 AverageOfD2이라는 수를 만든다.\n", "\n", " \n", "\n", "12. Input에\n", "\n", " **DeviationOfD1=Sequence[Element[Data1,t]-AverageOfD1,t,1,NumberOfD1]**\n", "\n", " 입력하여 DeviationOfD1라는 list를 만든다.\n", "\n", " \n", "\n", "13. Input에\n", "\n", " **DeviationOfD2=Sequence[Element[Data2,t]-AverageOfD2,t,1,NumberOfD2]**\n", "\n", " 입력하여 DeviationOfD2라는 list를 만든다.\n", "\n", " \n", "\n", "14. Input에\n", "\n", " **SumOfDD1=Sum[DeviationOfD1]**\n", "\n", " 입력하여 SumOfDD1이라는 수를 만든다.\n", "\n", " \n", "\n", "15. Input에\n", "\n", " **SumOfDD2=Sum[DeviationOfD2]**\n", "\n", " 입력하여 SumOfDD2이라는 수를 만든다.\n", " SumOfDD1과 SumOfDD2이 0의 값을 가지는 이유를 생각해봅니다.\n", " 항상 0이므로 산포도로 사용할 수 없음을 생각합니다.\n", "\n", " \n", "\n", "16. Input에\n", "\n", " **SquaredDD1=Sequence[(Element[Data1,t]-AverageOfD1)^2,t,1,NumberOfD1]**\n", "\n", " 입력하여 SquaredDD1이라는 list를 만든다.\n", "\n", " \n", "\n", "17. Input에\n", "\n", " **SquaredDD2=Sequence[(Element[Data2,t]-AverageOfD2)^2,t,1,NumberOfD2]**\n", "\n", " 입력하여 SquaredDD2이라는 list를 만든다.\n", "\n", " \n", "\n", "18. Input에\n", "\n", " **SumOfSDD1=Sum[SquaredDD1]**\n", "\n", " 입력하여 SumOfSDD1이라는 수를 만든다.\n", "\n", " \n", "\n", "19. Input에\n", "\n", " **SumOfSDD2=Sum[SquaredDD2]**\n", "\n", " 입력하여 SumOfSDD2이라는 수를 만든다.\n", "\n", " \n", "\n", "20. Input에\n", "\n", " **DistributionOfD1=SumOfSDD1/NumberOfD1**\n", "\n", " 입력하여 DistributionOfD1이라는 수를 만든다.\n", "\n", " \n", "\n", "21. Input에\n", "\n", " **DistributionOfD2=SumOfSDD2/NumberOfD2**\n", "\n", " 입력하여 DistributionOfD2이라는 수를 만든다.\n", "\n", " \n", "\n", "22. Input에\n", "\n", " **StandardDeviationD1=DistributionOfD1^0.5**\n", "\n", " 입력하여 StandardDeviationD1라는 수를 만든다.\n", "\n", " \n", "\n", "23. Input에\n", "\n", " **StandardDeviationD2=DistributionOfD2^0.5**\n", "\n", " 입력하여 StandardDeviationD2라는 수를 만든다.\n", "\n", " \n", "\n", "24. Geogebra 상단에 File, Edit, View, Options, Tools, Window, Help에서\n", "\n", " **Options --> Rounding --> 15 Decimal Places**\n", "\n", " 소수점15자리까지 보였지만, 분산의 값은 근사값일 뿐입니다.\n", "\n", " Geogebra에는 심볼릭계산이 가능한 기능이 있습니다.\n", "\n", " 심볼릭계산으로 정확한 값을 볼 수 있습니다.\n", "\n", " \n", "\n", "25. Geogebra 상단에 File, Edit, View, Options, Tools, Window, Help에\n", "\n", " **View --> CAS**\n", "\n", "  선택합니다.\n", "\n", "26. Cas의 1이란 수 옆의 빈칸에\n", "\n", " **stdevp[Data1]**\n", "\n", " 입력하여 계산결과 확인합니다.\n", "\n", " \n", "\n", "27. Cas에\n", "\n", " **stdevp[Data2]**\n", "\n", " 입력하여 계산결과 확인합니다.\n", "\n", " \n", "\n", "28. Input에\n", "\n", " **GeogebraVarianceFunctionAppliedToData1=Variance[Data1]**\n", "\n", " 입력하여 GeogebraVarianceFunctionAppliedToData1라는 수를 만든다.\n", "\n", "29. Input에\n", "\n", " **GeogebraVarianceFunctionAppliedToData2=Variance[Data2]**\n", "\n", " 입력하여 GeogebraVarianceFunctionAppliedToData2라는 수를 만든다.\n", "\n", " \n", "\n", "30. Input에\n", "\n", " **GeogebraStandardDeviationFunctionAppliedToData1=stdevp[Data1]**\n", "\n", " 입력하여 GeogebraStandardDeviationFunctionAppliedToData1라는 수를 만든다.\n", "\n", " \n", "31. Input에\n", "\n", " **GeogebraStandardDeviationFunctionAppliedToData2=stdevp[Data2]**\n", "\n", " 입력하여 GeogebraStandardDeviationFunctionAppliedToData2라는 수를 만든다.\n", "\n", " \n", "\n", "32. Goegebra에도 분산과 표준편차 함수가 있다. 하지만, 과정이 중요하므로 위와 같이 작성함.\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": { "id": "sD_3X2FvrZk3" }, "source": [ "**[한글버전]**" ] }, { "cell_type": "markdown", "metadata": { "id": "O2Tfs-KNraOX" }, "source": [ "![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAx0AAAJoCAYAAAADAYxVAAAgAElEQVR4Aeydf8gkyXnfB4SQhSxbBkccRgQFCSwy1n/3x+IYcwgF/RVCLAZEiECIRaDEIgRJ2PjEvhchHDsiccLheBMb6WwTZMYx+OzIp3AKd0rgknjPXt/ebBRblrP6sbdnaXXyxrEuiqOt8PTMU/10d1V19Y+Z6Z75NMxb1VVPPVX1qXqn6zv9a3Hz5k136dIl92d/9md8YMAcYA4wB5gDzAHmAHOAOcAcYA6MPgcWKjoee+wxxwcGzAHmAHOAOcAcYA4wB5gDzAHmwNhzwIsOznRwpoc5wBxgDjAH5jgHnHOVX+Te//73V/bn2CfazP8ic4A5cGpzANHB6TMOzswB5gBzYNZzANHB4uzUFmf0hzl9inMA0cFiY9aLjVP8p6RPHGzOaQ78xm/8huvzsYwQHfzP2PlAnPnAHBh/DvT5npYydiwQHYiOyoSwk4P4+P+0MIUpc6A6B+Sg9KUvfanTp34gQ3RUmTLH4MEcYA6MPQfG+K5GdCA6EB3MAeYAc+Boc0APZD/7sz/rPv3pT0fFh+SJjQgURAcLqrEXVPhjTjEH0nNgjO/qyYiOhx56yB/0bLxtEnS1FXv7qfvv4q9elv30hIUPfJgDzIH6HNADmYgKuQE8JDzqeYgO5lF9HrHPnGAO7HcOjPFdfVDRYRf7GtdJYhf7Nq75sbCLbcyHTR/bn/VNfL//EPCFL3NgfnNAD2RyBqMuLmJp0xEdz7ur767+kPXQu6+65xNnzj798Nb+3Vef9z+0Neftp93DtR/IHnroYffphN+mj/nNBfrAmDEHpjsHxviuPpjoaFvM23wbT01AtdMwZiv5bR8t2+ZL7Qin+4/B2DA2zIH5zAF7IKuLjJAIGePyqieffNL98R//cWLRn8Hv0w8Xx5W6eNiKine7q88HfDx/1b37oXe7hx9+t4uKiJ3fhz9dLZ/0ixgZNpbwgx9zoHUOjPFdPUvRoQLCLixCaTbfxlPCQv2kbKwv4tUDIzzgwRxgDnSZA/UDmRUescutpIyto+uN5L/+67/uPvzhD/cXHoV4eMjVhcG2TbuzH4EzHs9f3YmNRPlCXDz86Ur/Kn6Decw5Ox+IMx+YA+PPgTG+q5OiQ34Nki/n1Edscga3bRFv821cfUuafjQtFKpNyIfa983T8oTjT2aYwpQ5cJ5zYIwDWR/R8b73va+38CjEQ0BU+Dn86U8HLoXaiZFCNNi4HfdYurUh7jnz63TW+gte/M+MMQfG+K5Oig45/Sy/BsmXc+jT5Zei1EJfYNh8Gx8DlPWhvjW0efV21PPY5x+XOcAcYA6MOwfqBzJ7SZWNyxkQ/UgZOw59RUc/4dFTGBSXTZWXXW3PepT7vj+7y6se4oxGZYw9H4QGXJgDR5kDY3xXJ0WH/JPHhEcXwSF+Yot8/SKRfPvR9DHDehvq+zntHLM9+Bp38QJPeDIH5jcH7IEsJDJCaWOKju7CY3uTd/1ejra5V1w2VTk7kvCzu/yqPCZyE3kbX/Ln97/PmM1rzMb4rm4VHTIp6sKjq+AQH6EFvp1wNt/G1ab88q2Kk1R6vazu21DLa1qobs0jnNc/COPFeDEHpj8H9EAWEhd6ZqOeNzvRsRMRdaGyvTm8TVDszqwUP8wFzozwq+9RfvXlu2X63y2M0bhjNMZ3dZbokIFT4dFHcEj5tsW8zbfxtknTxbbNV047c3xgM+5Ehyc8mQOnOwf0QHbIlwPKfYp6yXD3Y1r3y6u2l1LFfzAL35DeHPM8kdIsx/8PTJgDzIGhc2CM7+ps0SGNFeEhnz4NbxMHNt/G2+rqYqu+pEzoo/mE/HMyB5gDzIHDzAE9kOlZjZxQytjx6XtPR3fBsWXSfiP59nG6WzGREim793Ho/RuJp1oV/a3dF2IZED/MfIUznM91DozxXd1JdAwBHRIHuvAXvzbfxtvq7Gqbspe8VH5bW8jny4g5wBxgDnSbA3Ig6/OxnPuIjr6Co6g3KQ52IkPv32gRCtUbylMC5c/cnxW+2i7H6sbfciQOO+YAcyA2B/p8T0sZ6+9gokMq1UW9hrYhdrFv49YmFB/btou/UHtI4x+WOcAcYA4cdg50FR37ezngTjQ8VN570byBvMamfr+HPr1KRYves7FLr98Xwlyr8VRehJXFHvOEeTKFOXBQ0ZHqsF3s23iqjOR1tU3ZS14qv60t5PNPzRxgDjAHDj8HuoqO8cZod3mUvWTXioXkGZGSU/NejYBfI2TGa3/ZBnzCgjnAHNj3HDgr0aEwVVzUQ80n5B+POcAcYA7MZw4cT3TMhxHzmbFiDjAHjj0HJiM6jg2C+vlnZA4wB5gD85wDiI55jhv/b4wbc+C85gCig+s+ue6TOcAcYA7Meg4gOs5r4cJClfFmDsxzDix+53d+x126dGnWBxwm3zwnH+PGuDEHmANjzAFEB/NojHmED+YRc2C/c4AzHfzCieBkDjAHmAOzngOIjv0uFFiIwZc5wBwYYw4gOlhszHqxMcY/AT74MmUOzHsOIDrmPX78/zF+zIHzmAOIDkQHooM5wBxgDsx6DiA6zmPBwsKUcWYOzHsOeNHx2GOPOT4wYA4wB5gDzIG5zYGQ6JhbH2gv/3fMAebAqc8BLzpQj/NWj4wf48ccYA6c6xwIiY4XX3rZncLnkUceke6xQQACEJg1AfkuQ3RwWcWsL6s410UW/UZgMAfKOSBHYsvj/e9//0kIDhFNiI5Zr7NoPAQgsCOA6EBwVA7U9qBNvFzQwAIWzIFpzwE5ptkxQnSwzoEABCAwLQJHEx0f+9jH3F/8xV9UDhL2gEF82gd4xofxYQ4wB6Y0B+TQatuD6JjWYoPWQAACEMgSHUMx2QOBxlOiYx/1ab2HCD//+c+7q1evun/2z/6Z+6mf+in3j//xP3bf+MY3KgfEQ7SDOlgUMgeYA+cyB+S4YfuK6Bh6JKU8BCAAgXEJnITo+L//9/+673znO56MPfAcOv7000+7d77zne43f/M33f/4H//D/fIv/7ITgfWnf/qnlQPiodtFfSw+mQPMgVOeA3IAsP1DdPhDIhEIQAACkyDQSXT863/9r12Xj/bQHgg0PuaZjn/37/6d+8M//EOtrnLg0fr2Hb700kvu9u3b7sEHH3T/8l/+y0JwyNmNF154wX35y1923/zmN4/Srn33G/8sZJkDzIEpzAE5ANh2IDr8IZEIBCAAgUkQ6CQ6ZGHf5aM9tAcCjeeIjv/3//6fa/vcv3/fTUF0/M//+T/dT/zET7i/9tf+mvsv/+W/uLt371YOgNpvQhZozAHmAHNg/DkgxxvLFdGhR2BCCEAAAtMgMLrouHfvXqNn9kCg8RzR8eyzz7q2jyzujyk6/vt//+/uV37lV5wc4B544AH31re+1f2rf/Wv3Be+8IXKAVD7TTj+YgOmMGUOMAfkwGPnAaKjcSgmAQIQgMBRCXQSHTmXVtnLnLRn9kCg8RzRIYKi7fN//s//SYqOJ5980v36r/968iM22q6u4Ve/+lX3uc99zj388MNusVi4Rx99tDjTcefOnVaf+25b175gz8KNOcAcmOsckOONbTuiQ4/AhBCAAASmQaCT6OjbZHsg0HiO6MitL3Wm44//+I/dhz/8Yfe+970v+JE8sdF29Qmff/754tKq7/me73F/8id/Ujyp6tatW+7GjRvFGQ+93+O//bf/VqnnEG3r0x/KsPBkDjAH5jYH5Hhh24zoyD2CYgcBCEDgMAQmLTpkUR77/O///b89oZTokINQbHE/huAQ//LEqr/5N/+m+xt/42/4g548uUrODMmjc//Tf/pPxdOsPvGJT/h8PTjuu21aDyGLSOYAc+CU54AcEGz/EB3+EEkEAhCAwCQInIXokANRfXE/luCQR+F+6lOfcm9605vcRz7yEX/QkydZ/Zt/82/cBz7wAfezP/uz7jOf+Yz77Gc/6/PtwXFfbbN1EGfByRxgDpzyHJAjqu0fomMSa4yDNUIub2aDAASmTWDSoiMXXduZDj0Q6eJ+LMEhfuVFgB/96EeLp1Y99dRTlYOe3Ovxj/7RP3J//+///Uq6tseG+2ib9U+cBSdzgDlwynNAjhe2f4iOxBF0vXKrdSJfstYrt1gs3cWmxW6s7M2FWy4Wxb2Ri+WF02pFTKQ+Wn1KdKTK2zz1FQyL9q1ciW3jLpbatgNyCjaORAjMg0An0dH2JKl6viKwBwKN59zTYW8i/1//63+pu0aYKzqkblncy0fbMTT8D//hP7h3v/vd7h3veIf7+te/XviVm8i/9KUvuWeeeaa41+Pv/b2/5+SRunL2I1Xf2G1L1UUeC1DmAHPglOaAHBhsfxAdjUPlLmHtVovFZEVHSgy1CYtYj3PT4/63zBYLKzoU54HFWW5nsIPABAl0Eh1WBOTEtb/2QKDxHNFhRYwsyOubLOLlhm0RHfLoWnk/xre//e3KgUfr20coN4j/0i/9UiE4Pv7xj/t65QzHf/yP/9H9/u//vnvsscfcP/yH/9A98cQTxQsD99EOfLJ4ZA4wB859DsjxwTJAdNSPmLqP6FAS9TAoOoozPnpGA9FRZ8Y+BLoQGF10yCNs65s9EGg8R3TU/dT3n3vuOfeLv/iL7pOf/KT75V/+5eLeCrnBXOvYdyhnM+TSKjnL8Xu/93u+Xnlvh9zD8cUvftH90R/9URH/9//+3/v8fbcL/yxAmQPMgXObA3J8sH0+a9FhL1XaXZ5UnEGop5vLmDYXS3MZ09JdXDR/wa/aLNxSr73a+W2cpdBLtH5TLp1auou1uYRqYcrL4MV8mAN/UBTs8lN5YiL5bR9T1Ta6ExxFP4s4oqPBiAQIdCDQSXTYMw+xuJwBqW/2QKDxMUSH1PMHf/AHxVOi5GZufaKV1rGP8MUXXyzeHfLNb37TyaVVP/mTP+mkL/uoC58sHJkDzAHmQN4ckOOBZXW2oiO0eN8tnreioHmmY72SBblZUO/s7T0dW8Fh7l3Y1bMVHrv7G2qqo/ArwmZnK4t+b1Jp0ziiQ0VFfQ0i6YM3RMdghDiAQCfR0ReXPRBofCzRIW2SFxLaN6FrHfsI1+t1IXS+/OUvu3/xL/6F+6f/9J8W92vsoy585i024AQn5gBzQI4Fdh6creiILY79AbwmOkIipbiPXISIioxtGX9mQ32ZuraixAgXZ8pUBIoWlpMbS+dvGo+0Q61VOGio6RrG0iU/laflW0PT14ptka6cKjnsQAACNQInITpqfaoceOxBaIz4pUuX3E/91E+5f/7P/3lx2ZTcUzKGX3ywaGIOMAeYA/3ngBwHLL+zFR27xX7lzEXlIFkTHTmL6djCuiIUQn53i/GKnWmM9Ruz2Zlb4WDj6i2UlpOnNq1hDqdWJxhA4LwJZIkO+0U+Vjx1pmOsOvDT/wAOO9gxB5gDc5oDcii37T1f0SEk7ONct/cy+MuadqJE95tnKHaLIisIinj8ngj1VVxOtdvxl1YVzdnd06HPwd1VUXksb0J0hARFPa2+r1VoKPk5H7VvhIiOBhISINCVAKLjz1hY2AM1ceYDc4A5MMc5IAc/2+7zFh3VpcD2ng29BCh0RsJeFrUr2xAdWr7qu7LnF+a1OgpBEShv69iz6JB2xoRJLD3ct0rq4d9nUqueXQjMicDRRIc9OBBnkcMcYA4wB5gDQ+aAHHhteUSHXYpYEWDj8Ru4qzeO18pY15X4zm4lT74yQmYnKOr3hDTPhpgbzXd+U4LA5tl4pUlmJ2YTSzdFd+LC9EkzrXDSNEIIQCBIANHBmY7KgdoetImzCGQOMAfmMgfkCGfberaiI7QIrqRthYEVAFWBoW8jtzeS72769jeWb9cT1TMoNm3hFnrNlSTvREd5Y3pZhzcLnOloEwM238a3LWn+jdnE0iseCoaIjgoTdiDQkQCiA9FROVDbgzZxFpzMAebAXOaAHPtsW89WdAiIYoFs72GoXtq0FQuL8slRhS7o/p6OytkMXXzs6vZiQtJVUFxU39MRtFmro25hTDhIetdPsGZERxALiRDoQqAiOuTt2XxgwBxgDjAHmANzmwNy4EN0dDn8H9BWRUdKUOTYJJocEx2JIuNkFWKkKurGcYwXCJwegYroOL3u0SMIQAACEDgXAoiOiY50jqDIsZli9xAdUxwV2jRRAoiOiQ4MzYIABCAAgW4EEB3deB3MOkdQ7GyKS6HkLeYHa1zfiuxjiTnT0Zci5c6LAKLjvMab3kIAAhA4WQKIjpMdWjoGAQicAAFExwkMIl2AAAQgAAHu6WAOQAACEJgyAUTHlEeHtkEAAhCAQDYBznRko8IQAhCAwMEJFKLjd37nd9ylS5cOXjkVQgACEIAABMYigOgYiyR+IAABCIxPoBAdn/3sZyctOhaXF04+bBCAAAQgAIEYAURHjAzpEIAABI5PoBAdn/vc51pFx/3794tnoN+5c8fJR77cJa3vpkKiLRT/ahOrS/NzwpgPSV9f3Yqb5eN7em7G7Qu3ulKvY+PWV5e+j4srK3dxO9XKWt61VVl2J84sh9W1mn1q17RPfCyvrrs/QWSwj4E8iv5t3MWOs2WxuBx4m2yIx1SYjtaOjVs/vnJLPz+WbmXm+Obx3fzrOvdC7EiDwBEJIDqOCJ+qIQABCLQQKETHM888kxQd9+7dczdu3HCbzcbdunWr+Ehc0iRvjE0XhyFfqbyQfSwt5WdjFnj7ER3VhfC2jmqatm9xeZkvPEy7y/JbYSP72aLj9oVZlJblO7EY7GMEHsXgr93KL7DLvhxcdAzlMdLYelFRY6JjW83PFGaxfzLSIXBEAgcXHc887H5w8WPuF1962b24x48cqNkgAAEIzJ1AITqeffbZqOgQUXH9+nV39+7dRl8lTfLGEB66YG5UknGmI1QmlBauo/bLuvzCb34FDvnpl6YLYXMmwy8qVWTIL9L6q3P/55TrGZvFlVwf5WJf+755fHcG5ZA+xuKhi/3streP6HGYNtvVvR0678p5XYoMKzDUzqY16ycFAlMmcFjR8W/d31os3ALRMeUpQdsgAIEJEShEhwiH0I3kcvmUnM0ICQ7tg+SJzZBLrcRXWBBsa0nlaTvUpi1U+21YLrYXV5Zu2bj0qWpd7PmFsf0FvYzHzyw0F3V+8VdZHDftAq2IJ/n2dVk8DqyzaM1wH2Px8H6uruOcuuQcjWmtkYPaocLWOaeirHK52fDxq7WWXQgcnMDBRMcnf8wVL7FDdBx8jKkQAhCYL4FCdDz33HNB0SFf4HIZVdsmNmI7ZFOxEPKheRrWbWLpdbvmvogOub5d7l0oBYj+2t+0d875hV8pNLR+CccTHWaRGGxIKDGzD/WiugiVa/r9/SXV6/7rRRr7I/jwYiEowvJ5lGcDyntlet2fUnTyiEwrkHu2IzCvx+JcaR47EJgAgYOIjp3g+MGf+D33YhHn8qoJDD1NgAAEZkCgEB1ypiJ0pkNuGJd7ONo2sRHbPpsu2KWsjVtfsXS1actXu3TYd1GX9qq5/p4Ru6D2AmbpLq5txZ1fECYFjHqthd5fl7McLUIq92yBrzsgxjr7GMKjHEedFz607Gvooru+X0dgahvVtx3i4/baP8CgZFHvT8ktKbptm4hDYGIEDiI67L0biI6JzQCaAwEITJnApESHgNJFkYUWSuuSb23j8cxFl1/8BRbXEaFQColl7UxIWaf20YbxsyahXpS+Oi8aTZ9WDfFTX5yG6q4Kl94+zK/yloPG83jIAlvOcBjhUulfpP3B5CMz9W0a0A7xcc0+uUrnbX0u2suuyvs/fBOIQGAGBBAdMxgkmggBCJwtgUJ03Lx5M3imQ77A93l5lS4m6/Tr6fX9ur3sq01OGCrvzII3uWg3C9hQXaGFsRUdzcfhVm9kX17Vx+rmX05U9Ecvb+ry5CsF4ctagaHX+Ge2YwwfRXtG4qF92/nUR+gmx7ZSxi7CMxnY8qPxGNgOp+Mol/7tzqb5OWzH29aD6LBDSXw+BBAd8xkrWgoBCJwfgaTo2PeN5Lpor2Ovp9f36/a6H7OLpWu5bTjw1+Sqs8aeFx6tl/joIrG2IGx4rCXoQrLVf62c7I6xQB7DR6Bpzi+aM3lIO4ozHda+HNuQKAxWK4nHZqoNG9IOLRu8adzeg1Qy6iTMtI2EEJgAAUTHBAaBJkAAAhCIEEiKDimzr0fmtgkBm2/jkX4UyTG7WHrV154XXaFFuX+RXvlLuhcnufdB7Drhb57uWG5bvNl3fw9KZbFaJVbdG8HHKDxUtJW/1pd9KTlX2x7eOz7TbbsGtcPPu9CZDstDudm0MBdSITBVAoiOqY4M7YIABCDgXKvoEEgiPORmc7nUaoyXA+aIAGtj46lBi9nF0qu+movmav7QPV3UhX+B1zZuQ7Pw84tGk9ZoSkvbc3z4X8T1mv9t6H/1PoiPsh9DeHjhVn8ZngqynL60XW6X42MMpoPbEWO6cAvlUcyn0PxsTDQSIDBpAoiOSQ8PjYMABM6cQJboEEZyqZV8octTquQj8aHv5shlrwvQkL3mdQ2bvsrFmV9oN40GpMQWdRvzmNqFW1xZufVtU03O4tYsTIOXD2X52F5mtdq9q0RuxF7ZlyQezMcYPJyTlxsuvejo05dyPhyX6Rjt2N4nY3k0HyEcm59mLhKFwMQJIDomPkA0DwIQOGsC2aLjmJRUUByzDcPr1kVd6oxFrBYp26ec9YcPS2N7rwhMPRMvKu2ZOJ9LBAKzIIDomMUw0UgIQOBMCcxCdJzG2JS/WIuI6nI2pbhcqM8N4gYcPgwMJ2dClm4B0wJK5XK0gUyqlNmDwGEJHFx02Hd27DEuB2o2CEAAAnMngOg45Aj6G6W7iA5578TKNR+126Xh+KjSgofl4UXH4HlmvRKHwOEJIDoOz5waIQABCOQSQHTkksIOAhCAAAQmTQDRMenhOXrj/vIv/9Jdu3bt6O2gARA4VwKIjnMdefoNAQhA4MQIIDpObEBH7s4nP/lJ91f+yl9xb3rTm0b/fPaznx25tbiDwOkRQHSc3pjSIwhAAAJnSQDRcZbDntXpP//zP3dvfvOb3U//9E+7z3zmM6N//vRP/zSrHRhB4JwJIDrOefTpOwQgAIETIoDoOKHBHLkrFxcX7sEHH3RyiRUbBCBwHAKIjuNwp1YIQAACEBiZAKJjZKAn4u4rX/mKe93rXueeeuqpYI9u3rzpnn322WAeiRCAwHgEEB3jscQTBCAAAQgckQCi44jwJ1z1u971Lief+nbr1i33sY99zL3qVa9yr3jFK+rZfl9Eydve9jb36le/uvg89NBD7rnnnvP5RCAAgTwCiI48TlhBAAIQgMDECSA6Jj5AR2jek08+6b77u7/bydkO3X7mZ36mEBnf+73f6xaLhf9ovg1feOEF933f932Fzc/93M8V94RIGUn76le/ak2JQwACLQRmITpO443kLSNBNgQgAAEIDCKA6BiE7yQLy30cH/nIR6J9axMdV65c8aLkmWeecfLRMim/0QrJgMAZE8gWHffv33fyhX7nzp3iI3FJ67upkGgLxb/axOrS/Jww5GPz+MotLy98Pcura7cJGQ5Ni70c0KRLHzrVf23l2x3q/yrnkeRj+FA2Q/pS+Ni4dWU8lm71eIfRGKMvp+QjgykvB9TJSzh3AoiOuY/guO2XR+Q+8MADTp5cFdtUQEgY2n70R3/Ui4yXX37ZyUfL/MiP/EioCGkQgECEQJbouHfvnrtx44bbbDZOroGUj8QlTfLG2HTBHPKVygvZx9JCftZXS7Gh+UV4dR1z0zN94y6ulHUtdSF9+6IieLQNPr+ttqkskKWdQ/vinPMLYCMChcnseExoXNqYVvNXbuyZ3zaFyYfAWAQQHWORnL4fFQCxlkr+G97wBverv/qrMZMiXQVETHS85jWv8SJDHWkZuTyLDQIQyCfQKjpEVFy/ft3dvXu34VXSJG8M4aGL7UYlGWc6QmVCac061m61W9zqonbjF4tLd3E75KVvmta1Mn5LIeLrf3x35uLKRe+zLV5IHdTHGH1RRqXIKBfE/RfDx+HRnCfHaUcuU7Xrz7nZY1IgcFgCiI7D8j5Wbc8//7x7y1ve4h599NFoE+QRuT/0Qz/U+ohcFRAx0fHKV74yKjrkBnQ2CEAgn0BSdMjlU3I2IyQ4tArJE5shl1qJr6Yg0BrSeWql5dtCtS9C+WW+OPtgF1q6+Fq44KVJXpSUZy1sncEyRWXqN1SXTau0sPuOb98An718hPrXtfnqwwg+f/akZ3969aXW7ln7yGWqdj0515CxC4FjEEB0HIP64eqUy6R+/Md/vHjfhogEuXQq9N4NuQxcbh7/7d/+7dbGtYmOUL6mpZ541VoxBhA4QwJJ0SFf4HIZVdsmNmI7ZNOFe8iH5mlYt4ml1+2y9v0i1yx8bUG/AB1BdGhdV1bu4upyJ7w63sNg2+aaZxsq2Vk7PX2M0pdm3f5MR6+zNk1/WQgqRnP30Wx/mKmKjsi8rzBhBwLTJIDomOa4jNWqz3/+84WQUFEhi/+Pf/zjDffvec973Nvf/vZGeihBBYSEoU2Ehdpovu5zpkOJEEIgj0BSdMg/tty/0baJjdj22axgsHHrK5auNm35atcelgu0xcj3dPjLtuziOSVg+tTv/Q34tbqvD18uIMa69OX22q3MvS/F2F7p2R/fpp7lZcKcgo8spuXc10v92v9fsIDAtAggOqY1HvtszYc+9KFCDHz/939/5Ubx//yf/7P7ru/6LicCJWdTARETHa997WujooN7OnIIYwOBksCkRIc0KyQgQmllF8JlbH5evFx0LS4nFql+ERpYXF8OX5Llf1m+vKxesmV8ra5tzyiVtok2BDtUtr//onGAj7H6cq36JLHt2Ne4BftfTxzQF+/qRHzkMtWzVV1u3PesiEDg+AQOJjq+8S1366tfc1/4k68UH4m/+I1vuRdfenkvHzlQs1UJfPOb3yzeMi5iQe7fkE0utZL7OOQSrNytTXT88A//sFk0KZ0AACAASURBVBcd3/nOd5x8tIw82YoNAhDIJ5AUHfIFvs/Lq2Jiop5e3w91T21ywmb5cnG5uNxyeYlZXIfqCt3TUQqJmm+/yLMCo+dlLt5XrY5mZ+MpQ3z4skP6on0X8bYTYZ639Rvvgs/x7TkSD23I0dvRgalva3kjv3aDEAJzIHAI0XHr9tfd9T94rvE0R0mTvH0ID0RHePb9wi/8QiEAXve617mvf/3rTh6RK2c+RJDkbiogJAxtH/7wh73IePHFF528LFDLfPCDHwwVIQ0CEIgQSIqOfd9Irov2etvq6fX9ur3ux+xi6dtyVnCs3HrUJ1Zpy8yjYO3lVX6RZxfUukjsuFjWxbn1X1afFxviY4y+aP2VM03KI3wWKdox9XUsHtqwY7dD629lWv4f9D9Tpp0mhMBxCOxbdIio+P3E0xwlbx/CA9ERnk9yZuPNb35zIQIuX75c3FieeqJVyIsKiJjokLeO6xvJxbd8xJY3kodokgaBNIGk6JCi+3pkbloIVC+ZarPVLsbsYulSzj/GtO0Mh1bSNwwuypsLPX/vR2WR2F6p70eX+ydqbof5GKEvnlHoTEc3ETasL1swJ+Ejm6mKu26ca1OIXQgclcBeRcc3vlWc4Wh7mqOc8Rj7UitER3xafepTn/JnHuQxuqkXAaqXZ5991tkbxK3w+OhHP6pmPpRXA7ztbW9zcuO4PEJXLqv63d/9XZ9PBAIQyCPQKjrEjQiPMV8OmBIB2mxrY+OaHwpjdrH02Mvs1D50qVSo3rw0XdTZsxr2RuXqPSL+12a/aEwtBpsL/kqbDuXD/6rety9lP3QMfKhi6lB9aXsS2GzakcG0mCyR+VmZSOxAYNoE9ik65L6N3MuNi3s8Rry/Y1zRcdM99dTXRh/IX/mVX3Fvfetbi4W53Hz93ve+18lZgkNsDz74YCE8ch6Re4j2UAcEIBAmkCU6pKhcaiVf6PKUKvlIfOi7OcJNaqbqwrOZU54RUZvcUHyV91pUF8nq4yCiQxpy+8I8san2yNyOi9tgmw/mY5y+rK8uzVval255dV2+KPFgfSkX68dlOk47kkyLfyxER+j7hbR5Edin6JCbxnOf5ii2Y97bMbboWD/yiPv5EYWHPLbWni3Q+Otf//qDCI8nn3yy083j85rVtBYCp0MgW3Qcs8sqAo7ZhuF166IudcYiVouU7VPO+sOHpeEcPCo8vJirnYmrGLEDgWkTQHTkjM9NJ6JDDv5jCI+/+Iu/KC45+qt/9a+6L37xi+7b3/62+7t/9+96ESJnPNggAAEICIFZiI7TGKryF2sRUf7yqYzOFWdkhtwQrWd18OFpw9SjqJ7xGzhHSq/EIHB4AvsUHfO5vKoUFXKAb/uMITxEZHziE5/wA26f8CSXWrFBAAIQEAKIjkPOA3MZVb7okJflrdzFoKdq4aM6zPCwPPxlhoPnmfVKHAKHJ7BP0SE3h8tN4tO/kbyb6Hjk559yQ+/wkJu36zdw6yVWvLX78P8H1AiBqRJAdEx1ZGgXBCAAAQh0IrBX0fHSy8XjcOf/yNxSlIxxliM0QPK0JxUdDz30UMiENAhA4AwJIDrOcNDpMgQgAIFTJLBv0SE3h8//5YBb0bEvwSHz6u/8nb9TiA45y/Hcc8+1TjW5Qf8LX/hCqx0GEIDAvAkgOuY9frQeAhCAAAR2BA4hOoqnUn3jW07u8ZCnVBVPtfrq10Z/N4d9+pUcqMfb9vPIXG3fY489VgiOV7/61e6JJ57Q5Ggo77vQd2b81//6X6N2v/Ebv1G8cVzeOj7Fz5e//OVo28mAAAS2BBAdzAQIQAACEDgJAgcTHSO+g8OKi1h8XNGxv6GWR9fKZVXyqNyUgLAtkPd76KVYv/RLv2SzKnERHXKz+lQ/X/rSlyrtZQcCEGgSQHQ0mZACAQhAAAIzJIDoON6gyX0c8qSqN7zhDVnvM9GWvvzyy+4f/IN/UHzqN6OrDSEEIHAaBBAdpzGO9AICEIDA2RNAdBxnCsibxx944AG3XC6dPC6XDQIQgECIAKIjRIU0CEAAAhCYHQFEx3GGTMSGXCL1yle+0snN4/qRtB/4gR84TqOoFQIQmByBWYgOvd5zcvRMg2wbbdyYRKNd7aOOyIAABCBwxgQQHccZfBEWehyrh4iO44wJtUJgigSyRcf9+/edfKHfuXOn+Ehc0vpu9S+m2L7417xYXZqfE8Z8SPp6tSjqWl5sGmYx32qo+bJv45qfCrvap3x1yUv1d7NeueViy2OxWLrVusmkS13YQgACENg3AUTHvgnP139MGMnZmZzH+s6357QcAtMhkCU67t27527cuOE2m01xg5g8U1vikiZ5Y2yphXcqr0vdKT+yyNb8kOgI1aP2kheLh8ppWp8yWnZomOyvYaFtlHC1Hlor5SEAAQjsjwCiY39s5+7ZHstsXB7Xi+iY++jS/rkQaBUdIirkqRR3795t9EnSJG8M4aFfAo1Kagv6UH5uWriOjVuvttejav6+RYfWI6HdYunWZni8rb8bd7GsnvHZXOz4LC8c5zuGjwAeIACB/RBAdOyH6yl4Pczx9RRI0QcI7I9AUnTI5VNyNiMkOLRJkic2Qy61El/6haB+bZjKUzu1aQvVfhuWC+zFcumWtcV21ba5p3VJTiyupTRfQ00PhWqjYcjGRc5GaJnwWYmM/m4udpdVLZ2/ysynrRwnO4KjQSIEIDABAoiOCQzCRJugx0YJ2SAAgeMQSIoO+QKXy6jaNrER2yGbfiGEfGiehnWbWHrdrrkvi/ClW12s3caVC/J9n+lotqNHSm/R0dLfoMBYu1Vxf4cRIj2aTBEIQAAC+ySA6Ngn3Xn71nWChPI+EbmX461vfav7tV/7tXl3jNZDYEYEkqJDbhqX+zfaNrER2z6bfhFIWRu3vmLpatOWr3bpcBzRoW2RcNpbpL9ezNizGio6uK9j2mNK6yBw3gQQHec9/qne67H5Xe96l/v2t7/tHn30Ub/meOKJJ1JFyYMABEYiMCnRIX3SLwbbv1Bal3xrG49HFuGRAvU22X0b1+Ka1idUH5XQiwN9wlQ1DF9eZT1E+uv9IjosLeIQgMD0CSA6pj9Gx2qhLHY++MEPOnkDumxf+9rX/HrjHe94x7GaRb0QOCsCSdEhX+D7vLxKF+B14vX0+n7dXvbVJicMlXcdL6/SetSX3bdxzU+FXe0LX14cVMWG+uotOri8KjVU5EEAAhMmgOiY8OBMsGl6vHzNa14zwdbRJAicHoGk6Nj3jeT6D1/HWk+v79ftdT9mF0vXctsw8st/1ajYC/mzaTYeKN5I6mrfcNArIdJfLzrM/Rs+zZ796FUphSAAAQjsjQCiY29oT9KxHnvl/g42CEBg/wSSokOq39cjc/WfPdZFm2/jMXtJj9nF0qu+IovwqlFWHXn1lY672pclh8Ri/W2m88jcIZwpCwEIHIoAouNQpE+jHj32vv71rz+NDtELCEycQKvokPaL8Bjz5YD6j55iY21sPLeMtcsr31xsqw8tr6Gm29Dm2bi1icW72sf8dEuP9zf2ON72S7a6tQBrCEAAAmMSQHSMSfN0fD3//PPu7W9/e6VDL7zwgv8R8X3ve18ljx0IQGA/BLJEh1Qtl1rJF7o8pUo+Eh/6bo7cLqUW5ZrXNWzWnViEN40bKVq/ZNh4wzCQ0NU+4KJHUrq/8sbyZfGYXLlnZOlW6/ZHJ/doBEUgAAEIjEYA0TEaypNy9M53vrM4Lou4eOmll4qnV733ve8t0h544AEnAoQNAhDYP4Fs0bH/psRrOM6iPN6eUI5to42HbOtpXe3r5dmHAAQgAAFX/BimwuP973+/e/Gll0/iIwdqtv4E5BG5H//4x92lS5fcq171quIdHW984xvdBz7wAffiiy/2d0xJCECgE4FZiI5OPcIYAhCAAATOkoAKDgkRHWc5Beg0BCAwYQKIjgkPDk2DAAQgAIF8AoiOfFZYQgACEDg0AUTHoYlTHwQgAAEI7IUAomMvWHEKAQhAYBQCiI5RMOIEAhCAAASOTQDRcewRoH4IQAACcQKIjjgbciAAAQhAYEYEEB0zGiyaCgEInB0BRMfZDTkdhgAEIHCaBBAdpzmu9AoCEDgNAoiO0xhHegEBCEDg7AkgOs5+CgAAAhCYMAFEx4QHh6ZBAAIQgEA+AURHPissIQABCByaAKLj0MSpDwIQgAAE9kIA0bEXrDiFAAQgMAqBWYiOObyx27bRxnNGqat9jk9sIAABCJwbAUTHuY04/YUABOZEIFt03L9/38kX+p07d4qPxCWt76YL7bZQ/KtNrC7NzwlDPjYXK7dcLHw9y9XabWqGMd9qpvmyb+Oanwq72qd8dclbr7Z9Xl7Ue+vcZm2ZLN1q3bTpUhe2EIAABPZNANGxb8L4hwAEINCfQJbouHfvnrtx44bbbDbu1q1bxUfikiZ5Y2yphXcqr0vdIT+68NY8H67Wra7VVgxj8ZSTPmVS/rrkiajQ+huiw+SpjYQZSLo0AVsIQAACoxJAdIyKE2cQgAAERiXQKjpEVFy/ft3dvXu3UbGkSd4YwkMXt41Kagv6UH5uWrOOtVvtznDowrtcjC9d4ARApSrrLxavFNjtqK2EdoulW5vh8Y1br5ZecEid2vet7427WFbPgGwudvbLi8YZoOHtwQMEIACBcQggOsbhiBcIQAAC+yCQFB1y+ZSczQgJDm2M5InNkEutxJcuuNWvDVN5aqc2baHaF+Hmwi2LBfbKlec1SiHS9su+1iW+YnGtT/M11PRQqDYahmxc5GyElgm3vRQUi+Vy1/ea6BAmhRAzosunWU7BVpEIAQhA4GgEEB1HQ0/FEIAABFoJJEWHfIHLZVRtm9iI7ZBNF8shH5qnYd0mll63y9r3C2yz6I4UtPXG4pGiw5N7i46lW13IPSulAKmc6fD9twJDhVg7k+EdwwMEIACBfgTqokMOcHxgwBxgDjAHpjMHFjdv3nSXLl1qfMvLTeNyD0fbJjZi22fLWaxbm1AdbfmhMuG0ciG+CJ8qqBSz9WrchhXjye2Ufa2IDi9mQqKD+zomN4w0CAIQ8ATqouPFl152p/CRBRMbBCAAgbkTkO+yyYgOgamLdgs2lNYl39rG4+UifLGwC+5wiXqb7L6Na2lN6xOqj0roxUH51C3ru10zlf1FdFTIsgMBCMyUAKJjpgNHsyEAgbMgkBQd8gW+z8urdJFcJ11Pr+/X7WVfbXLCZvlyAb5Y5F1CpPWoL7tv45qfCrvaF772JTq4vCo1VORBAAITJoDomPDg0DQIQODsCSRFx75vJI8ttuvp9f3YqMXsYulbP1ZwrFzO6yhC/myajcfaatO72tuy/eNlvytnOrzoMOLLp7WfAerfHkpCAAIQGEYA0TGMH6UhAAEI7JNAUnRIxft6ZG7bQtvm23gKRswuli6+yvd0mEV2opKYL5tu4wlXPqurvS84KBIRHYEbzHlk7iDQFIYABA5EANFxINBUAwEIQKAHgVbRIT5FeIz5csCcRba1sfFUH2N2sXTnf8FP3xeh5TUMtcHm2XjItp7W1b5evt9+THQUSix4uVr7fSL9WkIpCEAAAmMQQHSMQREfEIAABPZDIEt0SNVyqZV8octTquQj8aHv5sjtUmpRrnldQ6nb/4K/e0Fg3UeXRbaWFb82ntPHrvY5PtttEqJD2KxXu/d1iCBbulXOdWftlWIBAQhAYG8EEB17Q4tjCEAAAoMJZIuOwTUNcHCcRXm3Bts22niOl672OT6xgQAEIHBuBBAd5zbi9BcCEJgTgVmIjjkBpa0QgAAEIHAcAoiO43CnVghAAAI5BBAdOZSwgQAEIACByRNAdEx+iGggBCBwxgQQHWc8+HQdAhCAwCkRQHSc0mjSFwhA4NQIIDpObUTpDwQgAIEzJYDoONOBp9sQgMAsCCA6ZjFMNBICEIAABNoIIDraCJ1uvjyQhQ0CEJg2AUTHtMeH1kEAAhCAQCYBREcmqPXKtT4Sfr0qHpd+scn0OdTMvjdreeG0Wn26YyzUalOiI1a2nq6+yrB8tLzaLj0Qm5f3cuHSLzEInCcBRMd5jju9hgAEIHByBBAdOUO6dqvFYrKiIyWG2oRFTu9TNlX/KipKQeHf7WUbeWhxluoAeRCYOAFEx8QHiOZBAAIQgEAeAURHDidER4xSRXTszrxYfSHltsJj5dbqBNGhJAgh0EoA0dGKCAMIQAACEJgDAUTHbpTspUqLhZPFdLF4rqeby5j8r/iF/dJdXDQvr6raLJy/1CiyQHe6IP/NC7dcLN3FWsJte6RNvrw0O+bDTLyKKDDpEk3lab7YpD41l+Fd7ZNe/1XfD5ciFQIQcM7NQnTol8SxR0zbUQ9tuzTPphGHAAQgAIH9E0B0RBbvxcJYL6lqnulYr2QxXv/1XtLqlxaV+yoStsJhdylS7bRA4VeEjRE73qTSpki7a1NGjq+xTY+9IZtQWsxPW3qYleHS5oB8CJwxgWzRcf/+fSdf6Hfu3Ck+Epe0vpv9gkjFxb/mx+rS/Jww5kPSt18mtV9fUgUCedqGQNawpN0XtPqvh/6LXL671yvza9LSrdb6k8ywJlAaAhCAwJQJIDqKA1lVQDQGrCY6ImcYtsdDXUxvy1TOTIjf4ri0FSuNy46cKbOro16+KKNnWyLt0ObLMU82DTVdw1h6qoyWzQ53x+FKP4o05ZTtCUMInCWBLNFx7949d+PGDbfZbNytW7eKj8QlTfLG2HQRHfKVygvZx9JSfmShrvmVLxQjejQ/Fkq9mhdrQ+900z6tw4ZedETsfH7vBlAQAhCAwLQJIDpkfLaL/cqZi8qw1URHccwwZznUtkjfLaZtXPMlrAiFkN9d+YqdcWD9xmx25nK8083GU2k5eWrTGhZtXbhF/WBq+9DqBAMInDeBVtEhouL69evu7t27DVKSJnljCA9dQDcqGXEhH65j49arpRcLYlMXHaE2xdK0Dg1jdmOk65mZhf5S5PRpG2Uf/DW43maMmvEBAQhAYHoEEB06JuWxQI9F5Vq5Kg6aZyh2PuxiWhfckXsi1HdxTNrtFHE97hSCInA2wNaREB3Sh/pWT6vvh+yVRSqslyv2d/0Prg1sH4KFSYQABJRAUnTI5VNyNiMkONSB5InNkEutxJd+CahfG6by1E5t2kK134bmi3m5dMvl9iaz4BeLaWO9DutT82xaI575Bd4oZxO8D/ML1e5L216Hq79ExX/1sk6JQwACEJgvAURHeOxCl0qpULCXSFVK28W0jVeMajuFnRyTqsJmexw6ruiQlsrxObTF0sVWf7iLrQv8zfJcxRxCSxoEKgSSokO+wOUyqrZNbMR2yJZarGuehvV6Yul1u+a+iI6lW12s3SZwlsDax+qop9f3rQ8f94Ih/CQNfzDwBeqRUixVvgi96DBCxJ9qD3zh192yDwEIQGDGBBAdscGzIsDG65dIleW3i209btTKlGa12M5uJZcrm+PQ7thUOV7pfZSVsyF6s3vpVo6psc3m2XiOvbWJlVXBkTwm5woyWyFxCJwpgaTokJvG5R6Otk1sxLbPJv/s+g9v49ZXLF1t2vLVLh1GFvK7QrE66un1/XSdPXO9aDFf6uIqmL49CEi7kl+cPZtCMQhAAAJTIYDo0OOAioXdyFQWxttjghUAVYGhPlqeXqWiwTzhSmrzl/3aA47/Qcy0a3e88mY7G7+fODOh802Oa7rZuKbVw5hNMD0ilOo+OdPRIEICBKIEJiU6pJXyz1//Agil2R615VvbeDwtOmzbtD4Nrc9Qms0v4l4c9DnTkWin92vFCKKjwZ8ECEDgJAkgOnbD6o8Feowxi30rDPQsg7mMaHsMy3tPR+Vshs6oupiQdBUUF9X3dFiB4W38W/fUYV4o7Q5tekzuEoofPcsRLmd4Fv01+6FGkAYBCBQEkqJDvsD3eXmV/jPXx6KeXt+v28u+2uSEofKu5fKqcJmeqY0Dgh4YtmHli7heRegXI7XxeSHRwZeiYiKEAAROkwCiY6LjqqIjJShybBLdk2P/UTZEx1GwU+k8CSRFx75vJFeBUEdXT6/v1+11P2YXS9dy2zBxBmFnmOMnx6Zab8c9FSzmFyrvwYsOIzB8mhUivgQRCEAAAidDANEx0aHMERQ5NlPsHqJjiqNCmyZKICk6pM37emRu2+Lc5tt4imPMLpZe9ZUvOtRfKqz6Hm8veL2sd9/sgz9FHBIpvhwRCEAAAvMngOiY6BjmCAr/A9nClY+Bn2h/imaVx9vKEyOn3GTaBoEjE2gVHdI+ER5jvhxQF+upvlsbG88tY+3yypdfIPYGu65+8uqyXrvE29tY3kze4ZKtLk3AFgIQgMBECSA6JjowNAsCEICAcy5LdAgpudRKvtDlKVXykfjQd3PkjkBqIa95XcNm3e0Leq2jWbZMybEprbvGyjam7vuQt6sv/Uuclm61bn/scdeWYA8BCEBgagQQHVMbEdoDAQhAoCSQLTrKIoeP7Xch360/2pZU2M0j1hCAAAQgMAYBRMcYFPEBAQhAYD8EZiE69tN1vEIAAhCAwCkRQHSc0mjSFwhA4NQIIDpObUTpDwQgAIEzJYDoONOBp9sQgMAsCCA6ZjFMNBICEIAABNoIIDraCJEPAQhA4HgEEB3HY0/NEIAABCAwIoHDiI7fcx96S/XpgD/4E7/nXnzp5b195EDNBgEIQGDuBBAdcx9B2g8BCEAAAgWB/YsOFRx/3X3oma3I+NxP/HVXPFjkb/9bRAfzEAIQgECCAKIjAYcsCEAAAhCYD4G9i45nHnY/uFi4v/XJ6lmNrfD4MfeLezrbwZmO+cxBWgoBCMQJIDribMiBAAQgAIEZEdi76IiJik/+mFssyrMfY19qheiY0SSkqRCAQJQAoiOKhgwIQAACEJgTgWOJjl/823KPB2c65jRXaCsEIHB4AoiOwzOnRghAAAIQ2AOBo4iO4izHwu3zZnLOdOxhsuASAhA4OIFZiA59+/fB6dQq1HbUQ2umeTaNOAQgAAEI7J/AwUXHTnAs9ngTuVyqhejY/9yhBghAYP8EskXH/fv3nXyh37lzp/hIXNL6bro4bwvFv9rE6tL8nDDkY3OxcstF+QjE5WrtNiHDjDRtQ4ZpN5P1ynPQOmy4WpfuNmvbn6Vbrfv2pvRJDAIQgMDUCRxUdBzgDIfeG4LomPrMo30QgEAOgSzRce/ePXfjxg232WzcrVu3io/EJU3yxth0AR3ylcoL2cfSQn7Wq1JsaH4RmlV8Jd2Ik3q61KtpsTb0Ts8VHRE7053eTaAgBCAAgSkTOJTo0Mfk7vOSKhUcnOmY8oyjbRCAQBcCraJDRMX169fd3bt3G34lTfLGEB6pxXoqr9GoRELTz9qtdiJiebE9GyBnCbZ2S7dLSnhsZmkdGjYtxkvxgml5sTszs3EXy62I8v25WG77423Gqx9PEIAABKZE4BCiQwVH/bG5ViSMHedMx5RmGW2BAAT6EkiKDrl8Ss5mhASHVih5YjPkUivxlVqkp/K0HWrTFqp9EW4u3LJYpK9ceXVSKUTqZwdivq1PtbFpjbgXNuGzLPV6G+UlwfswbZf+FCLKCCafZuyCDkmEAAQgMG8Cexcdu/d0HOoMh4oXRMe85yWthwAEtgSSokO+wOUyqrZNbMR2yJZarGuehvV6Yul1u6x9v0g3C/eEKKrXXd8P1ukFQ1/R0TyjUdTj224Fhoqoan+C7SIRAhCAwIwJ7Ft06FkO/Z6vhrynY8ZTh6ZDAAIHIJAUHXLTuNzD0baJjdj22fRLW8rauPUVS1ebtny1aw/LxfyidrohVkc9vb7fXmcPCy9arLiInP1wKjoWrtalHhVTBAIQgMB0CexbdOiZh0OHnOmY7pyjZRCAQD6BSYkOaXZo0R5Ks11sy7e28bgRHIvaYn5XSOuph9an5tm0RtyLhj5nOsp26n0b3r/3a9uP6PB8iEAAAidNANFx0sNL5yAAgZkTSIoO+QLf5+VVsQV6Pb2+H2KuNjlhs3y5kF8sDnAZkhcHPUSHv4Qq0E6fFxIdAfsmCFIgAAEIzJYAomO2Q1c0/Pnnn593B2g9BCCQJJAUHfu+kVwFQr2F9fT6ft1e92N2sfRtOSs4Vi71Sou0n623HBttb69QBUvoaVRedBiB4dOsEOlVM4UgAAEITJoAomPSw5Ns3K/+6q+67/me73FvetObRv/81m/9VrJuMiEAgcMQSIoOacK+Hpnbtji3+TaewhKzi6WLL//Y2YwzHOonJ0y1c0ieb2/wBo1SQOmlVxsemTsEN2UhAIEZEUB0zGiwTFP//M//3L35zW92P/MzP+M+85nPjP554YUXTG1EIQCBYxFoFR3SMBEeY74cUBftqU5bGxvPLWPtouX9WYC8y5yifkxlOTbGvGO0KSoaDvRMSO0lhkGN0ihMAgQgAIH5EkB0zHPsLi4u3IMPPuj+8i//cp4doNUQgEAWgSzRIZ7kUiv5QpenVMlH4kPfzZHVwsjN5VpWF/ldQynvzwLUFujqq75Q13StOxTm2ITK5aWVoqPeNlteXnC4fV+HiKmlW6WuGbMFiUMAAhCYMQFEx/wG7ytf+Yp73ete55566qlg42/evOmeffbZYB6JEIDAvAhki45jdmu/C/luPdO2pMJuHrGGAAQgAIExCCA6xqB4WB/vete7nHzqmzyK/2Mf+5h71ate5V7xilfUs/2+iJK3ve1t7tWvfnXxeeihh9xzzz3n84lAAALTITAL0TEdXLQEAhCAAASmSgDRMdWRCbfr2rVr7ru/+7udnO3QTe7rEJHxvd/7vf4R+vIjX2iTezW+7/u+r7D7uZ/7OffTP/3TRVzSvvrVr4aKkAYBCByRAKLjiPCpGgIQgAAExiOA6BiP5SE8yX0cH/nIR6JV2SsKQkZXrlzxwuSZZ55x8tEyKb8hX6RBAAL7J4Do2D9jaoAABCAAgQMQQHQcAPJIVfz2b/+2e+CBNfidWQAAIABJREFUB5w8uSq2qYCInen40R/9US8yXn75ZScfLfMjP/IjMbekQwACRyKA6DgSeKqFAAQgAIFxCSA6xuXZ15sKgFh5yX/LW97i5N0cqU0FREx0vOY1r/EiQ/1oGbk8iw0CEJgWAUTHtMaD1kAAAhCAQE8CiI6e4EYsJm8VF0Hx6KOPRr1K3g/90A+1PiJXBURMdLzyla+Mig65AZ0NAhCYFgFEx7TGg9ZAAAIQgEBPAoiOnuBGKCaXSf34j/948b4NEQly6VTovRtf//rX3Rve8AYnl1e1bW2iI5SvaaknXrXVSz4EILAfAoiO/XDFKwQgAAEIHJgAouPAwE11n//85wshIe/xkidSyeL/n/yTf2IsttEPfehD7u1vf3sjPZSgAkLC0CbCQm00X/c506FECCEwHQKIjumMBS2BAAQgAIEBBBAdA+CNWFSEhSz+RXyICNFNhIm8CFDCnE0FhISh7bWvfW1UdHBPR4gYaRA4LgFEx3H5UzsEIAABCIxE4GCi4xvfcre++jX3hT/5SvGR+Ivf+JZ78aWX9/KRA/Wctm9+85uFuBCx8JM/+ZO+6fLiPrkEK3drEx0//MM/7EXHd77zHScfLSNPtmKDAASmRWAWokO/RI6FTutvC6V9ahNrq+bnhDEfpEMAAhCAQJPAIUTHrdtfd9f/4Dm32WycvDVbPhKXNMnbh/CYm+iQkfmFX/iF4nj4Xd/1XcXL/5544gn3/d///U4ESe5mj5OhMh/+8If9MffFF1908rJALfPBD34wVIQ0CEDgiASyRcf9+/edfKHLqVL5SFzS+m76xdAWin+1idWl+TlhzIekr1eLoq7lxSZlFsyr1x006pCo/joUaTddrzxL9W/D1brdBRYQgAAEpkpg36JDRMXvX7/u7t6920AgaZK3D+ExR9EhN5G/+c1vLo45ly9fLuKpJ1o1gJpjvxynQpu8dVzfSC6+5SO2vJE8RIs0CByfQJbouHfvnrtx40bjlx1Jk7wxNl38hnyl8kL2sbSUn41ZkIdER6hsblqsPan0kO+UfVae6aP6tyGiI4siRhCAwEQJ7FV0fONbxdmMkOBQHJInZzzGvtRqjqJDmHzqU5/yP3TJY3RTLwJUhs8++6yzN4jbY9RHP/pRNfPh9evX3dve9jYnN47LI3Tlsqrf/d3f9flEIACB6RBoFR0iKuSfOvRFW3zBXr8+ivDQL5YQmlReyD6WFvazcevV0n8xis3Jio4AGD27s1heuO7ndwIOSYIABCBwJAL7FB1y34ZcRtW2FZddyT0eI97fMa7ouOmeeuprbd0YLf/BBx8sjq85j8gdrVIcQQACkySQFB1y+ZSczQgJDu2N5InNkEutxFdYEGxrSeVpO9SmLVT7bbhxF8vtJVWL5dItd/E+oqNeb7We7nvqL1pyjLMW3sfKcWVVlDQZEIDATAjsU3TITeNy/0bbJjZiO2XRsX7kEffzBxIeTz75pHvPe97Tho18CEDgDAgkRYd8gef+siO2Q7bUIlvzNKzXE0uv2zX3RXQs3epi7TauFCAh0SFlbT02XvcreUO2lG/v1wuGnWhaVMP2S6Xa++vrIgIBCEBgBgQQHTmDdNOJ6JCD/6GER06rsIEABE6fQFJ0yA3jub/s2Gdxd8FmF9g2bn3E0tWmLV/t0mF8Ea7+c0KpQ+xCW075kE3I1+A0L1o4yzGYJQ4gAIFJENin6JjP5VWlqJADfNsH4TGJqUsjIHAWBCYlOoS4Lrot/VBal3xrG4/HRUe8TDhH2puzhfoVSgv68qKheoZDy6fPdIzX12DbSIQABCBwBAL7FB1yc7jcJN52ufHxbyTvJjoe+fmn3OHu8DjCpKBKCEBgMgSSokO+wPd5eZUukOs06un1/bq97KtNThgq7zIur9JysTo0PzdUP9Y+lGbzfXyI6NhcuGVxOdbS9Xg6sG8CEQhAAAJTIrBX0fHSy8XjcOf/yNxSlHCWY0qzl7ZA4PQJJEXHvm8kjy2w6+n1/diwxOxi6VU/7b/+qx8J61sqr26r+1pG9yUMpdn8UeIqWHhi1Sg4cQIBCEyDwL5Fh9wcPv+XA25FB4JjGnOWVkDgnAgkRYeA2Ncjc9sW1zbfxlODE7OLpVd9pUVHno920WD92Li2JZSmeWOF/jG56WuwxqoOPxCAAAQOQuAQoqN4KtU3vuXkHg95SlXxVCt5RO43vjXqE6vs06/kQD3eNv4jc3/rt37LffKTn5zs54tf/OJ4+PAEAQj0JtAqOsTz2C8HzFlYWxsbT/U0ZhdLr/o6vOio1n+ovXQ/D9UK6oEABCAwNoGDiY4R38FhxUUsPq7oGJu6c48//rj7xCc+MdkPomP8MccjBPoQyBId4lgutZIvdHlKlXwkPvTdHLkNTokGzesaNutuX4zbOurlU3nWVu1s2mHjZT850XFY8tQGAQjslwCiY7988Q4BCEBgCIFs0TGkkqFlj79Qr/ZA21MPq1bxvXq51H7cCzkQgAAEIGAJIDosDeIQgAAEpkVgFqJjWshoDQQgAAEITJEAomOKo0KbIAABCGwJIDqYCRCAAAQgcBIEEB0nMYx0AgIQOFECiI4THVi6BQEIQODcCCA65jniP/ADP+AfF28vN37lK1/pnnvuuXl2ilZDAAINAoiOBhISIAABCEBgjgQQHXMctfJR81ZwSPwVr3gFomOeQ0qrIRAkgOgIYiERAhCAAATmRgDRMbcR27bXio159oBWQwACOQQQHTmUsIEABCAAgckTQHRMfoiCDUR0BLGQCIGTI4DoOLkhpUMQgAAEzpMAomOe425Fx2tf+1on93K89a1vdb/2a782zw7RaghAIEgA0RHEQiIEIAABCMyNAKJjbiO2ba+Kjne9613u29/+tnv00Uf9jeVPPPHEPDtFqyEAgQYBREcDCQkQgAAEIDBHAoiOOY6ac7IQ+eAHP+hefvnlogNf+9rXvOh4xzveMc9O0WoIQKBBYBaiQ38FabT+QAlaf1sozVGbWNM0PyeM+SAdAhCAAASaBBAdTSZzTdFj5Gte85q5doF2QwACNQLZouP+/ftOvtDv3LlTfCQuaX03/UJpC8W/2sTq0vycMORjc7Fyy8XC17Ncrd0mZJhIq9edMM3KUn9ZxrlG65Xvo/q34Wqd6wg7CEAAAtMjgOiY3pj0bZEem+T+DjYIQOA0CGSJjnv37rkbN264zWbjbt26VXwkLmmSN8amXzAhX6m8kH0sLeRnvSrFhuYXYW0FrnnWd26aLZMbD/nOLRu1Q3RE0ZABAQjMnwCiY/5jqD3QY+DrX/96TSKEAARmTqBVdIiouH79urt7926jq5ImeWMID/2CaVSScaYjVCaU1qxj7Va7MxzLi+25jY1fmC/dLqlw1SwbPgMTsgu1pS1tLD9t9XjRtbzofHanzTf5EIAABA5JANFxSNrj1PX888+7t7/97RVnL7zwgj8r/773va+Sxw4EIDBfAknRIZdPydmMkODQLkue2Ay51Ep8pRbZqTxth9q0hWpfhJsLt1zKmY6VK68sKoWIPdmhfm15m6ZxDa1dn3irHy+OwmdqbNuj9Xsftv9RazIgAAEITJoAomPSwxNs3Dvf+c7i+C/i4qWXXiqeXvXe9763SHvggQecCBA2CEDgNAgkRYd8gctlVG2b2IjtkC21yNY8Dev1xNLrdln7IkSKsx/VMx1S1tZj43W/kjdkS/n2fr1g6Cs6Nu6iEFwLp2d5vG8iEIAABGZIANExv0GTR+R+/OMfd5cuXXKvetWrind0vPGNb3Qf+MAH3Isvvji/DtFiCEAgSiApOuSmcbmHo20TG7Hts9kFto1bX7F0tWnLV7v2sFyIL8ypAvWfE0odYhfacsqHbEK+Bqd50cJZjsEscQABCEyCAKJjEsNAIyAAAQgECUxKdEgLddFtWxtK65JvbeNxIzgql1vFS8RypL05W6hfobSgLy8a+pzpKPvKWY4gXRIhAIEZEkB0zHDQaDIEIHA2BJKiQ77A93l5VWyBXU+v74dGR21ywmb5chG+WDQvq6rbx+qo27Xtqx9rF0qz+T4+RHQkLiHz/olAAAIQmBkBRMfMBozmQgACZ0UgKTr2fSN5bIFdT6/vx0YoZhdL3/qxgmPl1olbWNSPhPUtlVe31X0to/sShtJs/ihxFSw8sWoUnDiBAASmQQDRMY1xoBUQgAAEQgSSokMK7OuRuW2La5tv46FOaFrMLpYu5fwjY1vOcKR8aP0SttnZfBtXH6E0zRsr9H02962M5Rs/EIAABI5FANFxLPLUCwEIQKCdQKvoEBciPMZ8OWDOwtra2HiqSzG7WLrzlxm13xcR9VFrUJtdW37N3R52yzM73M+xB7y4hAAEjkYA0XE09FQMAQhAoJVAlugQL3KplXyhy1Oq5CPxoe/maG3dziC1UNe8rqG43lws/ZmJUPn6iQBrU297Ks/aqp1NO2y8FB31/h22HdQGAQhAYFwCiI5xeeINAhCAwJgEskXHmJV29XX8hXq1xdqeeli1iu/Vy6X2417IgQAEIAABSwDRYWkQhwAEIDAtArMQHdNCRmsgAAEIQGCKBBAdUxwV2gQBCEBgSwDRwUyAAAQgAIGTIIDoOIlhpBMQgMCJEkB0nOjA0i0IQAAC50YA0XFuI05/IQCBORFAdMxptGgrBCAAAQhECSA6omjIgAAEIHB0AoiOow8BDYAABCAAgTEIIDrGoIgPCEAAAvshgOjYD1e8QgACEIDAgQkgOg4MnOogAAEIdCCA6OgAC1MIQAACEJgugbrokAMcHxgwB5gDzIHpzIHFzZs33aVLl6Z7JKFlEIAABCAAgRYCddHx9NNPu1P4yILpK1/5Ch8YMAeYA7OeA/JdhuhoOZCRDQEIQAAC0ydw6qJj+iNACyEAAQiECcgPJ7MQHYvLCyefY2xad1uobVM73beh5oXCkJ1NIw4BCEAAAmkCiI40H3IhAAEIHItAJ9Fx//59J1/od+7cKT4Sl7S+W2jhHUoT/5oeq0vzc8KYD0lfX92Km+Xjm5RZIy9Ub8OoQ4L661Ckm+ntC7e60uzr5vGVW+4EnrRheXXtupFwbnPN+li61bWuHtJd6TtGaa/9x178jsEt1L4x/E55PMZsW2hebB5fbr87rqzcxe0QYdJOjQCi49RGlP5AAAKnQiBbdNy7d8/duHHDbTYbd+vWreIjcUmTvDG21EI7ldel7pQfWQBpfl10aLqtK5Qm+bF0W7YtPoaPeB0bd7ETHFKP9lUXbVq3D6+u467qOYahL3954VbX6ob99lNj1M/jttQQv6NwCzR+FL9THo8R2xYbPy86CiG9ch1mcmBESJoDAUTHHEaJNkIAAudIIEt0iKi4fv26u3v3boORpEneGMJDF6mNSkZayIvfcB0bt766+0V09yu/LsS1LaFyobRYHWqbE8Z8aFuGh2u32i3Cyl9/Na0UIeVCbpn5K3EpZpSfX/Rdueh8xqTaz/Yxqtrn7g31Owa3UFvH8Dvl8RirbTnjpywRHaGZdmppiI5TG1H6AwEInAqBVtEhl0/J2YyQ4FAIkic2Qy61El+6IFe/NkzlqZ3atIVqvw3Lxc/iytItA5cciZ36tGVDaTFbW07jsfLZPiK/FKvf+NmFwCLs9sWu73ZhpnaZZyrERyFmjEjxadavEsgN88Yo11tpN4LfMbiVDSpjY/j17Cc4HqO0LXf8dB4PmYPl0BCbNgFEx7THh9ZBAALnS6BVdMgXuFxG1baJjdgO2XSxHPKheRrWbWLpdbvmvixclm71uNy7UC5i9Jd6tQ/5t2kat6GWjYVqG8rXPA1DNm5M0RGqILQwDNlpmre3iztd8JmFr9pnh3ljlO3OG+7Jr+cwpM++kWWkq19vP8HxGKVtueM3xhwsh4HYtAkgOqY9PrQOAhA4XwKtokNuGpd7ONo2sRHbPptdWNu49RVLV5u2fLVLh3HRIeVsHTZe95nKs7Ypu1Se9dEn7i+bSl7yVLJY5N7T4UVQaJGbebaktUNlu+rCsLVo0mAsv6WfbG7JdmlmD79THo/R21byac6LVJ7yJTwVAoiOUxlJ+gEBCJwagcmJDgEcWnCH0uxgtOVb23g8vDhR3zlhrP22TvWTsrU2tmwl7hdu26dQaRkNQ5dX+XssLstTpSrezE7JYXHZCghjEor69tgy+ivzOYiOntxCLCtpPf1OeTxGb1vJqCk6nHP+zEp5z1IFMTsnQwDRcTJDSUcgAIETI9AqOuQLfJ+XV+kCuc61nl7fr9vLvtrkhKHyLnF5Vdg+nKr1h3PLdkp+zDaWXvHpF279REd5E7n1Wi7eFpc7Xh7kF3Yh0ZHpy/vY9alxNqZsX3Bxabti4/vy6+so29WfW6jPY/id8ngMaJtnL5GSU3BemPEP5ld8sTNnAoiOOY8ebYcABE6ZQKvo2PeN5LHFdT29vh8blJhdLL3qp2XhUjWO7qXqCuXlpkUr7Jjhz3YkFvTFGY6u7zXwCzsjMHyaXVwmGuztQwtwKddzjPblt+hK2aZh3Op9HsvvlMdjQNsq06hk1RQVqbyKE3ZOgACi4wQGkS5AAAInSaBVdEiv9/XI3NBi21K2+TZuberxmF0svVo+vTjJ81H1aPdS5et59X3rZ3DcL8CrQqB8L4RZCHaqrMkvLnA6OTbGzTpM5oBof7/DuYWbPdxvs0/TGY+x29b0V1LVS/z6zuvSE7HpE0B0TH+MaCEEIHCeBLJEh6AR4THmywFzFtXWxsZTQxWzi6VXfaUWLvFLoao+wns59VsbGw97HJKqizAjOrwQ2f3avntfibajuP/D2yQWb5FLvvz9Izk+kl2LjNGx/Pp6B3Kr93ksv1Mej1HbFpkXBdfAfK/zZv9kCCA6TmYo6QgEIHBiBLJFh/RbLrWSL3R5SpV8JD703Ry5PHXxG7LXvK5h01dq4TJMdDTrSqdoX9JWfXObizD/C3hNbGg7skWHXAB1bbV7X4csxOWGdfPIZb+YTgiXZLciY3Qkv2Nys90e0++Ux2O8tkXmRQG1Od8ta+KnRQDRcVrjSW8gAIHTIdBJdByz27r4PWYbpG5tR044pK3qf4iPeFldhPVZ+EvZPuVsa8bwYf1pfMp+aZuOUrdwBG5ekJoze90agfWMCBxKdDz2nje6xWKx+7zRveexp93TT+/v88gjjzg5YLNBAAIQmCuB2YiOuQKeZrvLX4VF3DRvvI23uvgFvnEDetw+lDOGj7n5nXKfT7ltRd/07N3AeRuac6RNj8AhRMdWcDzkHlGR8chDbrHYr/BAdExvrtEiCECgGwFERzdep2N9+8KtrmzvQ8gXHWu3urJy4Uft5qIZw0eorin7pW2hEWtPG87Ni47B87a9tVhMg8D+Rccj7qHFwr3xPY+ZMxuPufe8ceEWDz1i0sY964HomMb8ohUQgEB/AoiO/uwoCQEIQAACEyOwf9EREhOIjolNA5oDAQhMkACiY4KDQpMgAAEIQKAfgWOIju3lVlxe1W/EKAUBCJwLAUTHuYw0/YQABCBwBgQOKjqKezm2N5NXL7cKnQ0ZlsblVWcweekiBE6cAKLjxAeY7kEAAhA4JwIHFR16I/nTu8ur3vge95hPGyYy6k/CQnSc0yymrxA4TQKIjtMcV3oFAQhA4CwJHEd0PO2e3vMTrBAdZzmd6TQETooAouOkhpPOQAACEDhvAkcTHY+9x71xsXAPPTLuGQ4944HoOO95Te8hcAoEEB2nMIr0AQIQgAAECgJ7Fx0xcVGc6TDv7hj5MitEBxMcAhCYO4HZiI79vqE7PYxad1uoXtRO922oeaEwZGfTiEMAAhCAQJrA3kXH00+7Rx5auEXl/o3tPR37vJkc0ZEed3IhAIHpE+gkOu7fv+/kC/3OnTvFR+KS1ncLLbxDaeJf02N1aX5OGPKxeXzllvrmYnlL99W124QMI2mheiOmWcnqL8u4j1GPlwOur3Z9mWDZsM01y3fpVte60N36GcNH2aJmbEj/1NsQH2P075R8pJjy0j+lQ1gncAjRIZc8FcJjsX1y1WKPl1VxeVV9hNmHAATmSiBbdNy7d8/duHHDbTYbd+vWreIjcUmTvDG21EI7ldel7pAfXShqng+vrr1rTfMJCSEUsrXlcuJj+IjXs3EXu7eRSz05bySXxay2Kce+Urcpqz4kXF2rWKV3xvCRqGFQ/3Z+B/kYo3+n5KOFqRcdxQ8FK1f+pyYGmayzIHAo0aFi4FAhZzrOYvrSSQicNIEs0SGi4vr16+7u3bsNGJImeWMID12QNipJLPBDtqm0Zh1rt9qd4dDFdLl4XLqL21tvzXLxsy8pW81LhVKj5qf60j9P+7zy/Yv72rj11aVvj7RLOcXL2JxS4Gg5v2C8cpF5NmkMH7ZNNj60f+JrqI8x+ndKPnKZlvMY0WHn9HnHER3nPf70HgIQmC6BVtEhl0/J2YyQ4NBuSZ7YDLnUSnylFtqpPG2H2rSFal+Ety/csvjV3/5aqouZ8td49WnLhtIkP5Zuy7bZZfmI/LKtZeNnErR/ts/11sl+uZBdXFnuOHUUHcK3EHWlgHM+ra3+XZu8/QAfoe6N0b8xfIzRv1Pykc00dx4HB5/EEyWA6DjRgaVbEIDA7Am0ig75ApfLqNo2sRHbIZsulkM+NE/Duk0svW6XtR9YwIX82zSN27CtLrUN2WmehiEbdxDRsXSrx+X+llKA6BmLYJvqiZ6lFRi6WDQiol7O7o/hw/rzcenTwP4VXAb6GKN/p+Qjm2nHeeTHncgpE0B0nPLo0jcIQGDOBFpFh9w0LvdwtG1iI7Z9NruwtnHrK5auNm35atcelovrhbmnQ8rZOmy87jOVZ21Tdqk866NP3F8+ln15k9RScukkOrwwComO8kxSsh9j+EhWMKB/Fb8zZzQG5zF8ZDPtybvin51TI4DoOLURpT8QgMCpEJic6BCwoQV3KM0OQlu+tY3Hy0XM4nK5SFbfOWGs/bZO9ZOytTa2bCXuF3jbp0ppGQ1Dl1f5+ykuyxOkKt5adko2iI4Yqpkz8vOpnPvO6dmEYwnEFqb+DE/Hy/5iQ0j67AkgOmY/hHQAAhA4UQKtokO+wPd5eZUukOt86+n1/bq97KtNTtgsXy5uFpczL/tpOilStP5Itm+n5MdsY+kVn36R2E906E3yhU+zeCvqbpwFKfl0Eh3eb2ghm8l5VB87VmP1rzIgp8LoyGPVhamfG4iOCrYz3kF0nPHg03UIQGDSBFpFx75vJI8truvp9f0Y1ZhdLH3rp1wsFmc4dk+sitXRlp6qK5SXm9ZWb26+P9thF95m8Va0x+YVjktG/USHERi+Lru4TbTe24/hY8qiY4z+nYCPylRIzbtUXsUJO2dEANFxRoNNVyEAgVkRaBUd0pt9PTI3tNi29Gy+jVubejxmF0uX8uV7OsyCre44cVYiYBpMSrWhnlffDzrsm+gX8ZmL/qKevgu8Zrmg6En2ZQwfyQr637NScdtsZyU7utMsdxxGU2mHBdVsU5mrl36l/29Le2LnQADRcQ6jTB8hAIE5EsgSHdIxER5jvhwwZ1FtbWw8BTpmF0svH9/afolS1EeqQbu8nLLWxsYz3Hc00cXaCKLDC5jEwi9yGZi/p+RQPpKUIovbnLZ5vwN8TIXRVNrRxrTI7zOPvWMiJ0oA0XGiA0u3IACB2RPIFh3SU7nUSr7Q5SlV8pH40Hdz5BJMLcI1r2sodftflHcvCKz78AvjEc505PZV7LQdXcrk2/ZZrA1YUAvna6vd+zpE3MlN7OYxzJkL+zF8xBkN69/W7zAfY/TvlHwkmRaZfeZxfAaQcxoEEB2nMY70AgIQOD0CnUTHMbu/30V4fs+0HTlhvtempfpv5oyRoou1xNmJTtWIv6G+puIj1PGptI12VEbHi9UuZ+wqHtg5QQKIjhMcVLoEAQicBIHZiI6ToD2ZTpS/yIu46XRjeKAPxdmixo3nAcNE0lR8hJo4lbbRjnJ0ChZ6dnLg3Cu9EjsFAoiOUxhF+gABCJwiAUTHKY5qTp9uX7jVle19LMNEx9qtrqxc5fG7OfVXbKbio9Ko3c5U2kY77Oh40TF47lmvxE+BAKLjFEaRPkAAAqdIANFxiqNKnyAAAQicKQFEx5kOPN2GAAQmTwDRMfkhooEQgAAEIJBL4NRFhxy0+cCAOcAcmOsceOSRR9zi5s2b7tKlS7nf69hBAAIQgAAEJkegLjrkAMcHBswB5gBzYDpzANExuUMnDYIABCAAga4E6qKja/mp2suCiQ0CEIDAKRBAdJzCKNIHCEAAAmdOANFx5hOA7kMAApMngOiY/BDRQAhAAAIQaCOA6GgjRD4EIACB4xJAdByXP7VDAAIQgMAIBBAdI0DEBQQgAIE9Epi86FgsFk4+x9i07rZQ26Z2um9DzQuFITubZuOh8pJmN7WxacQhAAEInDIBRMcpjy59gwAEToFAlui4f/++ky/0O3fuFB+JS1rfTRfFbaH4V5tYXZqfE8Z8SPp6tRU3y4tNyqyRF6q3YdQhQf11KNIwHcNHw6lJ2KxXbrkTg4vF0q3W3ZgZV0QhAAEIjEIA0TEKRpxAAAIQ2BuBVtFx7949d+PGDbfZbNytW7eKj8QlTfLG2FKL5FRel7pTfmQRrfl10aHptq5QmuTH0m3ZtnjMh6a3hWO1I9pOw8q2ZbWOliADAhCAwN4JIDr2jpgKIAABCAwikBQdIiquX7/u7t6926hE0iRvDOGhi9dGJSMt5MVvuI6NW6+WPk9sxhYdWm9OGG9niEw8rV5X3LJrzsZdLKtnhDYXO37LC8f5jq48sYcABMYigOgYiyR+IAABCOyHQFR0yOVTcjYjJDi0KZInNkMutRJfukhWvzZM5amd2rSFar8NywX0Yrl0y9piWm3Vp+5LGEpLpduybXYx3+pD8+uh5rf593aRMxbqN3jmYnOxu6xq6fxVaD5t5TjZ4ekSgQAEDkwA0XFg4FTkhxCVAAAgAElEQVQHAQhAoCOBqOiQL3C5jKptExuxHbLpQjfkQ/M0rNvE0ut2zX0RHUu3uli7jSsFSNczHVq/DZt1VVPUtpq63dM8Da1NKE3y6+n1fevDxweJDisw1m5V3N9hhIivhAgEIACBwxBAdByGM7VAAAIQ6EsgKjrkpnG5h6NtExux7bPZxbGNW1+xdLVpy1e7dBgXHVLO1mHjdZ+pPGubsuuTVy9T37d1D4p7oRISHQsXPDsyqEIKQwACEMgjgOjI44QVBCAAgWMRmIzoEAChxXIozcJqy7e28XhYdKjvnDDWflun+knZWhtbVuOaXw81P+Xb2jgvILb3aNT9BQWEL4PoqLBkBwIQODoBRMfRh4AGQAACEEgSiIoO+QLf5+VVusitt66eXt+v28u+2uSEofIucXlV2D6cqvWHc8t2Sn7MNpYe89k73QuIDqIjeP8Gl1f1HgMKQgACoxFAdIyGEkcQgAAE9kIgKjr2fSN5bHFdT6/vxyjE7GLpVT/hMx1Vm/a9VF2hvNw0W3OojM2XeI5NvUzWvhcd5v4Nn2bPfmR5wwgCEIDAaAQQHaOhxBEEIACBvRCIig6pbV+PzG1bFNt8G08RiNnF0qu+0qIjz0fVo91Lla/n1fetH4lrfk5YLzt8v8mJR+YOp4oHCEBgOAFEx3CGeIAABCCwTwJJ0SEVi/AY8+WAulhOdcra2HhuGWuXV765mO7uw5Yo4zn1WxsbL72UsbZ8scyxKT12jEUuywreA9LRNeYQgAAE+hJAdPQlRzkIQAAChyHQKjqkGXKplXyhy1Oq5CPxoe/myO1eagGteV3DZt37Ex3NutIp2peYVVu+lMuxifnPSZc3uC+Lx+TK/SBLt1q3P1o5xy82EIAABPoSQHT0JUc5CEAAAochkCU6DtOUcC37XkCHa22majtywmbp/BT1nyqhNqkwVZ48CEAAAqdGANFxaiNKfyAAgVMjMHnRcWrA6Q8EIAABCIxPANExPlM8QgACEBiTAKJjTJr4ggAEIACBoxBAdBwFO5VCAAIQyCaA6MhGhSEEIAABCEyVAKJjqiNDuyAAAQhsCSA6mAkQgAAEIDB7AoiO2Q8hHYAABE6cAKLjxAeY7kEAAhA4BwKIjnMYZfoIAQjMmQCiY86jR9shAAEIQKAggOhgIkAAAhCYNgFEx7THh9ZBAAIQgEAGAURHBiRMIAABCByRAKLjiPCpGgIQgAAExiGA6BiHI14gAAEI7IsAomNfZPELAQhAAAIHI4DoOBhqKoIABCDQi8DkRYe+dbtX7wYW0rrbQq1G7XTfhpoXCkN2Ns3GQ+UlzW5qY9OIQwACEDhlAoiOUx5d+gYBCJwCgSzRcf/+fSdf6Hfu3Ck+Epe0vpsuittC8a82sbo0PycM+dhcrNxysfD1LFdrtwkZRtJC9UZMs5LVX5ZxxGgMHxHXRfJmbZkt3WrdhVjKM3kQgAAE+hFAdPTjRikIQAAChyLQKjru3bvnbty44Tabjbt161bxkbikSd4YW2qRnMrrUnfIz3pVig3NL8LV2rvWdJ+QEEIhW1suJx7zoeltodShNjn1dbZZr7x/rUdCg6yzSwpAAAIQGEoA0TGUIOUhAAEI7JdAUnSIqLh+/bq7e/duoxWSJnljCA9dvDYqGXEB3axj7Va7MxzLi+0v9fIL/tZu6XZJfoFt29b0tc0NpWtaTihe1M7W1zWuPjTsWj5uv3EXy61Q88wults2Ly86nSGK10EOBCAAge4EEB3dmVECAhCAwCEJREWHXD4lZzNCgkMbKHliM+RSK/GVWhyn8rQdatMWqn0Rbi7cslhAr1x5XqMUIvrLvfq0ZUNpkh9Lt2Xb7Np8aH49tHVonk1rxL3ACp/t0f5XygmzQqiVosz5NMuxUoodCEAAAnsngOjYO2IqgAAEIDCIQFR0yBe4XEbVtomN2A7ZUotkzdOwXk8svW6Xte8X0OWiOuTfpmnchm11qW3ITvM0tDahNMmvp9f3rQ8fHyQ6rMBQoVYy83UQgQAEIHAgAoiOA4GmGghAAAI9CURFh9w0LvdwtG1iI7Z9Nrs4tnHrK5auNm35atcelpcOLWo/89s6bLzuM5VnbVN2ffLqZer7tu5BcS9UQqKD+zoGsaUwBCAwiACiYxA+CkMAAhDYO4HJiA7paWixHEqzVNryrW08bgTHolxQq++cMNZ+W6f6SdlaG1tW45pfDzU/5dvaOC8gOlxe5cuUjJzTMx2IjgpfdiAAgYMSQHQcFDeVQQACEOhMICo65At8n5dX6aK53uJ6en2/bi/7apMTNstbwTHsEiGtv1nHNsXm27i1j6Vbm1HiXkB0EB3+8rOQ6BjGbpQ+4QQCEDhbAoiOsx16Og4BCMyEQFR07PtG8tjiup5e349xjdnF0rd+rOBYuaGvm0jVFcrLTbN9DpWx+RLPsamXydr3osMIDJ9mhUiWN4wgAAEIjEYA0TEaShxBAAIQ2AuBqOiQ2vb1yNy2RbHNt/EUgZhdLF18le/pMIvoQCUpHwHzRlKqfD2vvl93pvk5Yb3s8P1SpPHI3OE08QABCIxHANExHks8QQACENgHgaTokApFeIz5ckBdLKc6Y21sPLeMtYuW97/Qt19eFPVhK4rEc8paGxsPuWzLlzI5NiHfWWmRy7Jq995nucIIAhCAwFgEEB1jkcQPBCAAgf0QaBUdUq1caiVf6PKUKvlIfOi7OXK7k1pAa17XUOre6Evtdi8IrPuwi2jNy23zELu2utrype4cmyFtlJcobt/XIYJt6VZDr0sb0hjKQgACEHCuOC6p8Hj/+99/MkweeeSRk+kLHYEABM6bQJboOCaifS+gc/um7cgJc32G7NR/KE/T1CYVqi0hBCAAgXMgoIJDQkTHOYw4fYQABOZGYPKiY25AaS8EIAABCByeAKLj8MypEQIQgEAXAoiOLrSwhQAEIACBSRJAdExyWGgUBCAAAU8A0eFREIEABCAAgbkSQHTMdeRoNwQgcC4EEB3nMtL0EwIQgMAJE0B0nPDg0jUIQOAkCCA6TmIY6QQEIACB8yaA6Djv8af3EIDA9AkgOqY/RrQQAhCAAARaCCA6WgCRDQEIQODIBBAdRx4AqocABCAAgeEEEB3DGeIBAhCAwD4JIDr2SRffEIAABCBwEAKIjoNgphIIQAACvQkgOnqjoyAEIAABCEyFAKJjKiNBOyAAAQiECUxedCwuL5x8jrFp3W2htk3tdN+GmhcKQ3Y2LTeuvsXexuvlNS8nrJdlHwIQgMAUCSA6pjgqtAkCEIBASSBLdNy/f9/JF/qdO3eKj8Qlre+Ws9gVG9nUNlaX5ueEMR+Svr66FTfLxzcps0ZeqN6GUYcE9WeLaFoqFHvNr8etry5x669LuSzb2xdudSXFfO1WheBcuovbWR690ebayi13YnVxeelW17qNqXc0YF6M7cO5/jzKtvT3MRWm+27H5vHl9v/oyqrzvCs5EzsGAUTHMahTJwQgAIF8Aq2i4969e+7GjRtus9m4W7duFR+JS5rkjbGlFrepvC51p/zIQkbz66JD021doTTJj6Xbsm3xHB8xG5tu4211xvLH8BH2vXEXO8EhddSZSxkVgSIaOokOM5bafglX18ItSaWm5kWqnM0bw4f4683DNKa3j6kwPUA7vOgoROvKrQ0/otMmgOiY9vjQOghAAAJJ0SGi4vr16+7u3bsNUpImeWMID10cNioZaSEvfsN1bNz66u6Xzd0v4/UFcKhcKC1Wh9rmhDEfdS7qK5Ues6mXSdXZxUfIbzxNf3GP/JpcWVx2ER2lmNFx9IvIKxcu/3xH+7yI901zxvCx89Wbh7bFOdfbx1SYHrId5fxEdJg5NPEoomPiA0TzIACBsycQFR1y+ZSczQgJDqUmeWIz5FIr8ZVa3KbytB1q0xaq/TYsFzGLK0u3jFzqoz5t2VCa5MfSbdk2uxwfMRubbuP1+uv7IdtQWr1cdSG7vVRKy0kYP7uQWtSZcel6edXti91lVUao+LTcX61N/Yl50WBRSRjDhzo0vrryUBdugA/P78hMD9qO1Pz0UIlMjACiY2IDQnMgAAEI1AhERYd8gctlVG2b2IjtkE0XqiEfmqdh3SaWXrdr7stCbOlWj6/dxizK9BdytQ/5t2kat6GWjYVqG8rXPA1TNpKndja06aHy9TQtW09v3a/8ej6O6NAzE8vHL7rf0+EXplZg6ALSLJqTHcubF0kXxXxqn1tpH9vcQTx2FQzyMRWmB21H1zmTM5LY7JsAomPfhPEPAQhAYBiBqOiQm8blHo62TWzEts9mF7s2bn3F0tWmLV/t0mH5S3BddEg5W4eN132m8qxtyi6Vpz5iNjbdxrWchJreNbQ+hsb9fQ71S550YVmk91j4eREUEh2pMy+xHqXnRaxUNX2Aj6E8pCFDfUyF6UHbMWDMqoPP3gEJIDoOCJuqIAABCPQgMBnRIW3XhbDtRyitS761jcfDiwytOycU32oXq8fm27i1j6XX/YfsbJqNW/+jxv1CsHmWQ+oPXV6lv7pvnyplW1OOwbbcuYuOEXiYM3izZ+rn2oEEpYq1yIMO7MwlPg0CiI5pjAOtgAAEIBAjEBUd8gW+z8urYovienp9P9QRtckJQ+WdWZyFznSEyzRTtf5mzjbF5tu4tY+li009L7Vfz8uto5OdXwj2Ex2Vp1Kpr6t6624P0eEXiqGFae7lVZZAufDvPy96+hiDxxg+psL00O3w9YWfrmZnCfFpEEB0TGMcaAUEIACBGIGo6Nj3jeSxRXE9vb4f7cju6VP1/LzyPReGtcpSdYXyctOkmhxba2PjtWYGfdVtYnWG7Lqm+bMd5vKq8nGuYQGz8GIkUZtfKBqB4dOsEEn4qGSNMS/6+RiDxxg+/OVZ9tHFx2Dq6zzE2PYbs8rUYefgBBAdB0dOhRCAAAQ6EYiKDvGyr0fmphbEUq/Nt/FUz2J2sfSqr/QiI89H1aPdS5Wv59X31U9OurWxcfWhoeblhlputNAvIEshMMoCOXDGKiRw8vuRnhd5fvr5GIPHGD5CZwGPw7TJcX/t6HGWLW8yYLVHAoiOPcLFNQQgAIERCCRFh/gX4THmywF1oZtqu7Wx8dwy1i6vfHNB092HLVHGc+q3NjauXkJpoTxrZ+Nqq2EqT20kzLWzZfLiuqgrRUeznNqEftk2afWCeknR7syX9sHfX+IFT8KH9xmZFwf3IQ3qycP3ZYCPqTA9RDsKXso6NT8rYNmZAAFExwQGgSZAAAIQSBBoFR1SVi61ki90eUqVfCQ+9N0ciTZVsnTRWEnc7Whe17DpK7K4rNXTLDd+ivalj2db1sbrvlJ51jbXzpbJi+cs6tTGiIPMxb48HWvpRcfSra6ZRz9n+tj2IzIvDu5DWtOfRzkm/X1Mhene21HAUk6IjnLuTD+G6Jj+GNFCCEDgvAlkiY5jItrfwrdbr7QdOWE3z1Vr9V9NzduzZW08VFrz28JQ2eFpuqgzgiLbqZTtU85WgA9LYytoYOqZeFGJ6PBMZhBBdMxgkGgiBCBw1gQmLzrOenROtvPlGQQRPV2eDFVcx29uQO+DCB9VavAoefj7RORM2cB5VnoldggCiI5DUKYOCEAAAv0JIDr6s6PkEAK3L9zqyvZJVfmiY+1WV1au8qjdzm3ARxUZPCwPLzoGzzPrlfghCCA6DkGZOiAAAQj0J4Do6M+OkhCAAAQgMBECiI6JDATNgAAEIBAhgOiIgCEZAhCAAATmQwDRMZ+xoqUQgMB5EkB0nOe402sIQAACJ0UA0XFSw0lnIACBEySA6DjBQaVLEIAABM6NAKLj3Eac/kIAAnMjgOiY24jRXghAAAIQaBBAdDSQkAABCEBgUgQQHZMaDhoDAQhAAAJ9CCA6+lCjDAQgAIHDEUB0HI41NUEAAhCAwJ4IIDr2BBa3EIAABEYiMHnRoW/MHqm/ndxo3W2hOlU73beh5oXCkJ1Ny42rb7G38Xp5zcsJ62XZhwAEIDBFAoiOKY4KbYIABCBQEsgSHffv33fyhX7nzp3iI3FJ67vlLHbFRja1jdWl+TlhyMfm8ZVbytuHd5/l1bXbhAwjaVrOhhHTrGT1Y401LRWKvebX49ZXl7j116Vclm3LywHXV7u+OLCsdXPNjunSra51GdGtnzF8aIuG9GUMH2P05ZR8pJjyckClM78Q0TG/MaPFEIDAeRFoFR337t1zN27ccJvNxt26dav4SFzSJG+MLbW4TeV1qTvkRxeDmufDq2vvWtN8Qm1xn5NubdriofrqZWI2Nt3G6+Vz98fwEa5r4y52byOXOupvJJcFrtZdzwv7M6mmrPqQcHXN2LRFx/Cxq2NQX8bwMUZfTslHC1MvOoofIVau/CZomzTkH5sAouPYI0D9EIAABNIEkqJDRMX169fd3bt3G14kTfLGEB66OGxUkljgh2xTac061m6lZzce3/4SXi4Ql+7i9tZbs1z1jIKtM2WrealQfGm+9VuPx2xsuo3Xy9f3Y7ax9Hr57vvKfuU5b31s3Prq0jOQ+ruJjlLMaDm/iLxykXkGawwf0puhfRnDxxh9OSUfuUzL+Yno2P5nzuEvomMOo0QbIQCBcyYQFR1y+ZSczQgJDgUmeWIz5FIr8ZVa3KbytB1q0xaqfRHevnDL4td2+2umLjbKX8bVpy0bSpP8WLot22aX4yNmY9NtvF5/fT9kG0qrl3ORX8C1bPzsgnK27MvF7eLKcjc2HUWHjGkhJEvR6HyaravRkzLB2w/w4Uboyxg+xujLKfnIZhqan+UUITZNAoiOaY4LrYIABCCgBKKiQ77A5TKqtk1sxHbIpovUkA/N07BuE0uv22XtBxZYIf82TeM2bKtLbUN2mqdhykby1M6GNj1Uvp6mZevprfuji46lWz0u99SUi3Y9Y9HaFjHw42cFhi4gjYhIORvDR9H+gX0Zw8cYfTklH9lMO86Z1Hwi72AEEB0HQ01FEIAABHoRiIoOuWlc7uFo28RGbPtsdrFr49ZXLF1t2vLVrj0sF7oLc0+HlLN12HjdZyrP2qbsUnnqI2Zj021cy0mo6V1D62No3F/GFr3kqRyLTqLDi6CQ6CjPXiXbP4aPSgU9+zKGjzH6cko+spmOMWaVytg5AAFExwEgUwUEIACBAQQmIzqkD7oQtv0JpXXJt7bxeLnIWFwuF6xad04ovtUuVo/Nt3FrH0uv+w/Z2TQbt/5HjfsFafn0L61XwtDlVf4ei8vyVKlYa8rxQHQIo5nz8POk/N9yTs8mhOdJY2aM4aPitIWpP8PT8RK/Sh3sHJIAouOQtKkLAhCAQHcCUdEhX+D7vLxKF6f1JtfT6/t1e9lXm5ywWb5cfCwuZ16C03RSpGj9kWzfTsmP2cbSQ2XqtnbfxuvtSeVZ21Y7vxDsJzr0Zn1b5zZejkkn0eEXiqHFbebYjuGj0qGefRnDxxh9OSUfXZj6fiM6KtgmvIPomPDg0DQIQAACsva9efOmu3TpUgPGvm8kjy1o6+n1/UZDdwkxu1j6tli5ICzOcOyeWBWroy09VVcoLzdN6s2xtTY2Xm93Ks/a5trZMjlxf7Zj7Mur/ELRCAyfZoVIopXefoCPivtyjnUSUGP4GKMvp+Qjm+kYY1apjJ0DEEB0HAAyVUAAAhAYQCAqOsTnvh6Z27aYtfk2nupnzC6WLr7K93SYBWagkpSPgHkjKVW+nlffV2c56dbGxtWHhpqXG2q50UK/kI0Jgb6Lvma5doFT79UYPqzPpj+bmxfv66NZ7jg8ptIOS7vZpjJXL/1Kfy+U9sSmQADRMYVRoA0QgAAE4gSSokOKifAY8+WAutCNN6n6q36OvfiK2cXSyycdtV8aFPWR6sQuL6estbFxdR9KC+VZOxtXWw1TeWojYa6dLZMX10VdR9HhxUpiMRi55MvfP3IoHx5EZHGb044xfEyFx1Ta0ca0yG+bn94JkQkRQHRMaDBoCgQgAIEAgVbRIWXkUiv5QpenVMlH4kPfzRFoSzAptfDVvK6hVOR/8d29ILDuwy9S97r4bnZZ29HMaU+xZW28XjKVZ21z7WyZvHjbom7YQl2ejrV9X4cISrlh3Tz6OXOxP4aPLYthfRnDxxh9OSUfSaZFZtv83Hrg77QIIDqmNR60BgIQgECdQJboqBc65P7+Fr7deqHtyAm7ea5aq/9qat6eLWvjodKa3xaGyg5P00Vd4oxFtBIp26ecdYgPS2P7JCmYeiZemMbOxHlLIhMigOiY0GDQFAhAAAIBApMXHYE2kzR7AuWv/yJ6utxgXZyhit6AngcGH1VO8Ch5VM6ADpxnpVdihyCA6DgEZeqAAAQg0J8AoqM/O0oOIXD7wq2ubO+nyRcda7e6snLxR+3mNAgfVUrwsDy86Bg8z6xX4ocggOg4BGXqgAAEINCfAKKjPztKQgACEIDARAggOiYyEDQDAhCAQIQAoiMChmQIQAACEJgPAUTHfMaKlv7/9s4oyVFeh8LZD+thEf8qcteTzUzVFAvot36Zl9nA+JaAYwsjGUMgHcjpqi4bWZbsz5BIwSQkQAKfSYBJx2euO2dNAiRAApciwKTjUsvJyZAACVyQAJOOCy4qp0QCJEACn0aAScenrTjnSwIkcDYCTDrOtmIcLwmQAAmQwIwAk44ZEgpIgARI4K0IMOl4q+XgYEiABEiABLYQYNKxhRr7kAAJkMDrCDDpeB1reiIBEiABEjiIAJOOg8DSLAmQAAnsRODtk47b7Rbk/yf+4HupxNigh2Ndos0qLT0tq63Dtujret4fbTVl3hfHXl+0SwkdLWOdBEiABI4gwKTjCKq0SQIkQAL7EahKOv79+xfkBf37+7v/l7rItv4hGF0qxT50PF9oryk9GyJ/tENy09y7ktqszfI7U1ohgD3dBbJSKfpoz+va1pq6tremH3Sf7Q87S2Vx7bp7aJthbWU8TfsI61Z4yTvbSYAE3oEAk453WAWOgQRIgAR8AotJx9+/f8Pv379D13Xh6+ur/5e6yKRtj79ScFpqW+O7ZKd7tDFgz5MOq58lk7F48r3GCTueHy3XdfRbW1o2IFsqxRd01vpdo19au9DdQzPeKcNYpMzXeI0/6pIACbwnASYd77kuHBUJkAAJgEAx6ZCk4tevX+HPnz/Qj6XIpG2PxAMBYTSuKqU2pbZYte104dE2MTi2AlKrnyWTAVhyyGpKz0Y+OdgqyT2dvE/J5xobJbvP2rFsh7C0dl24j3c4kGR09zG5bO6822FDpZQETkuAScdpl44DJwES+BACbtIh26fkboaVcICNtInOM1utxFYpKC21YRzQWSqhP5QpKL01TWiyABW6sIljKS1ZSa77Lul5trUNT0fLdV33teqWriXTfdGel5aOls3q6i5TbkuO28esR5CEAwmFv3aP0PZ3OdpgmrDMUkYCJHBaAkw6Trt0HDgJkMCHEHCTDnkBl21US3+iI7rP/CHYtGygDWWu48lzvfmxBK5NaO+yxz8FsfhUHPqWfS1DXZfo65XQtdrRhrKkI23Q06WWW/1zGfrmcu/Y08/l+bFpb3PSsbB22FrVtOEe72ZJn+Vz2hwnhSRAAm9NgEnHWy8PB0cCJEACwU065KFxeYZj6U90RHfLnw5KdV3b8uTQWWqHXrn0kw7pp33oem6z1KZ1S3qlNtjwdLRc19FPSsjXlpYNLdO2IYcPHB9TOmtXSmbs2yfHDI9WSYAEXkKAScdLMNMJCZAACWwm8DZJh8zAClItmZ7tUrvW9et24ArbNaU3fu0Tdkq6Wkf3zftYelqm67mdPY5hPy+1bbRp2axeSg7c7VXair12QdltH8Pdje6O53e45UoTZJ0ErkCASccVVpFzIAESuDIBN+mQF/Ajt1d5AWkuz4+txYBOTWn1188I5NurbH1bCv926zSp8nQ9udjM20rHeZseU6lti57us7qukgOMS5fLNyWcpAPbq246wcBzHk3gLqvVK8UOJPDWBJh0vPXycHAkQAIk4G+vOvpBcgSW+Rrk8vw418exp+fJ0W8oncB1qrR4VPJltdXKxHGNrtbR9XzgpTatW9IrtcFGjQ50t5fO2jHp2I6UPUnghASYdJxw0ThkEiCBjyLg3ukQCkd9Ze5SMKrbdb20Mp6eJ5/acgLXUanOxtSiPir1z9vyY9ipkWsdXYcNlGirLdFPl7V9Re/YP2/t5vL0mx767sexo6N1EiCB1xBg0vEazvRCAiRAAlsJFJMOMSqJx54/DohgtTRgraPrtX20Xl3/eYC63obukeo1/rWOrsOKJbPatJ6uQxdlqQ06Upb0Sm2wUaMD3e1lYe2crVvPbKHbPk72JAESOJIAk44j6dI2CZAACTxPYDHpEBey1Upe0OVbquRf6s/+Nkft0EuBK9rWlnPfhcB1Ifie23pOgrlssaL76npuq9SmdUt6pTbYqNGB7vayvHbyq+Tt+Bsstxu/Mnc7Z/YkgfcmwKTjvdeHoyMBEiCBqqTjJzG9JnBdniHGUVMuW/M1YN/X8Ft0X123eqB9qbT6QrbUV9r5RwIkQAKvIMCk4xWU6YMESIAEthN4+6Rj+9TYkwRIgARI4FMIMOn4lJXmPEmABM5KgEnHWVeO4yYBEiABEogEmHREFKyQAAmQwFsSYNLxlsvCQZEACZAACawhwKRjDS3qkgAJkMDrCTDpeD1zeiQBEiABEtiZAJOOnYHSHAmQAAnsTIBJx85AaY4ESIAESOD1BJh0vJ45PZIACZDAGgJMOtbQoi4JkAAJkMBbEmDS8ZbLwkGRAAmQQCTApCOiYIUESIAESOCsBJh0nHXlOG4SIIFPIcCk41NWmvMkARIggQsTYNJx4cXl1EiABC5BgEnHJZaRkyABEiCBzybApOOz15+zJwESeH8Cb5904FevfwIlfC+VGBv0cKxLtFmlpadltXXYFn1dz/ujrabM++LY64t2KaGjZayTAAmQwBEEmHQcQZU2SYAESEPjthwAACAASURBVGA/AlVJx79//4K8oH9/f/f/UhfZ1j8Eo0ul2IeO5wvtNaVlo7u3obndop+mfYTOUnRkll9HtUoMe1oZslIp+mjP69rWmrq2t6YfdJ/tDzvL5SO0/Ro24b5m8ZYNU4MESOAkBJh0nGShOEwSIIGPJbCYdPz9+zf8/v07dF0Xvr6++n+pi0za9vgrBaeltjW+LTuPNiUbaO/L9hFNQx4FWXBfI9c6S3XLX97H09FyXc/71x5bNiBbKsUHdGr9bdVL68ikYytD9iOBsxNg0nH2FeT4SYAErk6gmHRIUvHr16/w58+fGQeRSdseiUcpOC21zQZVEMzt4NPxW2jGj8e7RzsGyil4nffzg+mSLtpKpQwf7YWpuDq6r66XbJV8rrFh+UB/lJbO07K4ZpJApnV72i4NkAAJnIoAk45TLRcHSwIk8IEE3KRDtk/J3Qwr4QAnaROdZ7Zaia1SUFpqwzigs1RCvy+7e2gaCVTbkO5rpEQENztgU/e1ZNLuyXXfJb0aG56Olut67j8/tnQtme6H9ry0dLRsVp8kDfM7T1iHWb9e0IV7v4box6TD5kQpCVyfAJOO668xZ0gCJHBuAm7SIS/gso1q6U90RPeZPwSulg20ocx1PHmuV3UsiUj2bIBlX8tQ1+WSL+haemhDWdKRNujpUsut/rkMfXO5d+zp5/L82LT3RNLR3Zt+/s39zmc6TLgUksDnEGDS8TlrzZmSAAmck4CbdMhD4/IMx9Kf6Ijulj8dlOq6tuXJobPUDr3lUn1qnn28rn3oem6z1KZ1S3qlNtjwdLRc19FPSsjXlpYNLdO2IYcPHO9aIkFs7qELuEPFOx27MqYxEjgRASYdJ1osDpUESOAjCbxN0iH0rSDVkumVWmrXun5dJRxquxVs15Te+LVP2Cnpah3dN+9j6WmZrud29jiG/bzUttGmZbP6pjsdab2G/JBJx4wrBSTwYQSYdHzYgnO6JEACpyPgJh3yAn7k9iovIM3l+bFFGDo15bx/CmCffRAZ/uc+Bolu13Wt78lFJ28rHedttT626Ok+q+tbkg70iXekmHSs5s4OJHAxAkw6LragnA4JkMDlCLhJx9EPkntBcS7Pj70V8PQ8+WBHJxxteCw/wuK57+UlX1ZbrUyM1+hqHV3PB11q07olvVIbbNToQHdNmb4iFw+QZ2VMRtZYpS4JkMCZCTDpOPPqcewkQAKfQMBNOmTyR31l7lIwqtt1vbQgnp4nF1speC0/C1CyURoT2kr987b8eMmG1vfqsIESerUl+umytq/o7f2X1i1LNvAjj0w69kZOeyTw9gSYdLz9EnGAJEACH06gmHQIG0k89vxxQASrJe5aR9dr+2g9tz8eREagmpU6bnVtaEdOvaav1tF1mLRkVpvW03Xooiy1QUfKkl6pDTZqdKD7XMntVc/xY28SOD8BJh3nX0POgARI4NoEFpMOmb5stZIXdPmWKvmX+rO/zVGLtRS4om1tKb7xdate372Sjtp5Qg/jwfGaUvfV9dxGqU3rlvRKbbBRowPd50omHc/xY28SOD8BJh3nX0POgARI4NoEqpKOn0TwusC1PEuMo6YsWyq3wn5Zy27VfXXd0kb7Umn1hWypr7TzjwRIgAReQYBJxyso0wcJkAAJbCfw9knH9qmxJwmQAAmQwKcQYNLxKSvNeZIACZyVAJOOs64cx00CJEACJBAJMOmIKFghARIggbckwKTjLZeFgyIBEiABElhDgEnHGlrUJQESIIHXE2DS8Xrm9EgCJEACJLAzASYdOwOlORIgARLYmQCTjp2B0hwJkAAJkMDrCTDpeD1zeiQBEiCBNQSYdKyhRV0SIAESIIG3JMCk4y2XhYMiARIggUiASUdEwQoJkAAJkMBZCTDpOOvKcdwkQAKfQoBJx6esNOdJAiRAAhcmwKTjwovLqZEACVyCAJOOSywjJ0ECJEACn02AScdnrz9nTwIk8P4E3j7pwK9evz/KEJbGutSOOdbolXRKbfDBkgRIgASuRIBJx5VWk3MhARK4IoGqpOPfv39BXtC/v7/7f6mLbOsfguKlUuxDx/OF9prSsyHyR3vrfTX3zlTL7VtK0LHaRIb22tKzo21ZOrBvtT0v68Lj3obmNvC63ZrQOsy0r55vcw823S7cG9jTZRse2gjrJEACJOAQYNLhgKGYBEiABN6EwGLS8ffv3/D79+/QdV34+vrq/6UuMmnb468UJJfa1vgu2ekebUwIrKQj75sfYxyevLZ9jV7JV6kNPraW3b2JrOBHSotb8vEIrSQprZdCjO0xkUHiwaQjMWSNBEigRIBJR4kO20iABEjg5wkUkw5JKn79+hX+/PkzG6nIpG2PxAPB68yJujtgta2R2T668GinQXQePNv90l0LPQZPFzpL7TV6sIESfXRZatN66+spOQCnlIQUEoTu3t8ZQZ+Z37H95t4JmfWggARIgAQmBJh0THDwgARIgATejoCbdMj2KbmbYSUcmIW0ic4zW63EVilILrVhHNBZKqE/lGpLT9OEZtzekwfGsDnta4/Z09V9obNU6j66jn4i03VLx2vvddXdHejp0r4pgaSjCXFHFRKGWyHpGH3ZNkOIiYunoCfHOgmQAAkYBJh0GFAoIgESIIE3IuAmHfICLtuolv5ER3Sf+UOwa9lAG8pcx5PnevNjSTrkeYRH6EJKQI5OOubjqJdYc62VzbxsSjrmnGLCULhLMeioRCUbDJ6nuTXprlPTyrrwjwRIgATqCDDpqONELRIgARL4KQJu0iEPjcszHEt/oiO6W/50wKzr2pYnh85SO/TK5TyY1vq5j/wYup4c7c+UJdt5W378jN9Z3+4R2vyh76ZwlwMJnZuUJPYYdyzdPrNRUUACJPDhBJh0fPgJwOmTAAm8PYG3STqEFIJNTc2SrWnXun49Bb75nQ70wThQQq7Lmjbo1JZiH7raV17XOrqe68XjTXc6+q/5Ut9chQe+m+DvjKp4iLy/w9GE+2O4t6Ef7PftxpmwQgIkQAL9HXckHv/9999liPzvf/+7zFw4ERIggc8m4CYd8uJ95PYqLzDO5fmxtVzQqSmt/gGfxi9+C5PdG1L4x3FNuaXPkt0qm5uSDjzTcQvtLEFw7nYsPURuTmY5CTS7UUgCJPCxBJBwSMmk42NPA06cBEjgjQm4ScfRD5J7gXEuz489lp6eJ5/a2SfIrfM19bylz9TC/OgIm72XmKjoBEMnIvOxhLGPe8dCkpL+Toe2mdbD7We4oogESOBzCTDp+Ny158xJgATOQcBNOmT4R31l7lJQrNt1vYTU0/PkU1spyNXbq9C3phR70JvaTkdWuyVLPaa1NbrTnjsdxW+qsu502A+KLz1EHkJKWsA+ba+ybe40G5ohARK4EAEmHRdaTE6FBEjgkgSKSYfMWBKPPX8csCZw1jq6XloBT8+TT23ZScdUZ/loyddS+5KHZ/sv2V9uT5wwlliatyRG/YUHwuM3YGU/DijfYMU/EiABEqghwKSjhhJ1SIAESODnCCwmHTI02WolL+jyLVXyL/Vnf5ujdsoIai19tK0t57ZSMI1P2+c6yxKMw9Ncavf6Qf5sf9h5rhx+ULGJCUIT/K+3XXqIPI2ku7fqAXX5KmN+YW6iwxoJkMASASYdS4TYTgIkQAI/S6Aq6fjJIb5HoF1HoGas0KkpLa81/aBj9aeMBEiABK5IgEnHFVeVcyIBErgSgbdPOq4Em3MhARIgARI4hgCTjmO40ioJkAAJ7EWAScdeJGmHBEiABEjgxwgw6fgx9HRMAiRAAlUEmHRUYaISCZAACZDAOxNg0vHOq8OxkQAJkEAITDp4FpAACZAACZyeAJOO0y8hJ0ACJHBxAkw6Lr7AnB4JkAAJfAIBJh2fsMqcIwmQwJkJMOk48+px7CRAAiRAAj0BJh08EUiABEjgvQkw6Xjv9eHoSIAESIAEKggw6aiARBUSIAES+EECTDp+ED5dkwAJkAAJ7EOAScc+HGmFBEiABI4iwKTjKLK0SwIkQAIk8DICTDpehpqOSIAESGATgbdPOs7069pLY11qxwrW6JV0Sm3wwZIESIAErkSASceVVpNzIQESuCKBqqTj379/QV7Qv7+/+3+pi2zrH4LipVLsQ8fzhfaa0rLR3dvQ3G7RT9M+Qmco5vYNlWjDahNZbmPp2LOjbVk6sGu17SGrZaZ9PdpbuDV3k20IXbg3aQ0w/tutDQ9thHUSIAEScAgw6XDAUEwCJEACb0JgMen4+/dv+P37d+i6Lnx9ffX/UheZtO3xhyDTslVqs/Q9mWWnD4RVwgGdWzsNdSGH7fx4SV7bvkbPG4PYKLXBx9ayltnU/iO0wjnjmnTG9tlaMOlIjFgjARIoEWDSUaLDNhIgARL4eQLFpEOSil+/foU/f/7MRioyadsj8SgFyaW22aAKgrmdFOg29+HeRvdox4C9CaPIDeDn9paDfauPNeSSHtpQru1v6dfL6pjN7HX3/m4SOHvt/p2QWQ8KSIAESGBCgEnHBAcPSIAESODtCLhJh2yfkrsZVsKBWUib6Dyz1UpsPRtAo/9SiXH3pQTC/ZYe/Wl6CqrxoTxsTvo6Y/Z0dV/oLJW6j66jn8h03dLx2nvdmGBZ25puAfPXdkMls0kfORh9mTZDCN29GebiKcwMUkACJEACUwJMOqY8eEQCJEAC70bATTrkBVy2US39iY7oPvNXCo7RhjL348lzvarj8RP52+2YOx1VYygoWXOtlc3Mbkk6Zkb6jGF8JiYxy9WGpMJvj1u2mjH5uN2C92xNbpvHJEACJCAEmHTwPCABEiCB9ybgJh3y0Lg8w7H0Jzqiu+VPB8y6rm15cugstUNvuVQPM2efuOc+8mPY9uRof6Ys2c7b8uNn/Jb7+sxSv1Fn9UPkpQfPk3XWSIAESEAIMOngeUACJEAC703gbZIOwWQFy5ZMI11q17p+XQXPzjcmwQ9Ky1ZNG3RqS/EDXcsnZFpH19E+K5++07HMbPA5blnLErk0nkdo+zscTbg/8mdrnG1eqTNrJEACJNATYNLBE4EESIAE3puAm3TIC/iR26u8wDiX58cWTujUlPP+Onj2twDN+80l8D9v8SVb+vjWhpYqm08lHSuYLT1Ebk4m2XcfPjf7UUgCJPCpBJh0fOrKc94kQAJnIeAmHUc/SO4Fxrk8P/bAenqefLCTgtv+NyGWH2Hx3Pfysi+765Y+tqUkPcJmsr6S2cJD5MPD6fIsh36gP/lwb5CkAbFGAiRAAtxexXOABEiABN6cgJt0yLiP+srcpaBYt+t6iaWn58nFVnyAWT04rn2gb00p/aCnbei61W7JdB9dX6Or++1ZX2KW+1p6iDyE9I1huKthfXVxbpfHJEACJKAJ8E6HpsE6CZAACbwfgWLSIcOVxGPPHwesCZy1jq6X8Hl6nrz/hH32Y3Tp62O3fMLu+hoHvtRemp+0Pdt/yf5ie/x2r8QJY5Jyzmy8Y+E+RD54jF+Zm62HfIMV/0iABEighgCTjhpK1CEBEiCBnyOwmHTI0GSrlbygy7dUyb/Un/1tjtopI6i19NG2thRbXqALW1viXfS1xiqypXavH+TP9oedreV6ZksPkaeRdPd2/OpdSWia0OLXGZMKayRAAiTgEmDS4aJhAwmQAAm8BYGqpOMnR/rTgfaaudeMFTo1peW7ph90rP6UkQAJkMAVCTDpuOKqck4kQAJXIvD2SceVYHMuJEACJEACxxBg0nEMV1olARIggb0IMOnYiyTtkAAJkAAJ/BgBJh0/hp6OSYAESKCKAJOOKkxUIgESIAESeGcCTDreeXU4NhIgARIIgUkHzwISIAESIIHTE2DScfol5ARIgAQuToBJx8UXmNMjARIggU8gwKTjE1aZcyQBEjgzASYdZ149jp0ESIAESKAnwKSDJwIJkAAJvDcBJh3vvT4cHQmQAAmQQAUBJh0VkKhCAiRAAj9IgEnHD8KnaxIgARIggX0IMOnYhyOtkAAJkMBRBJh0HEWWdkmABEiABF5GgEnHy1DTEQmQAAlsIvD2SceZfl376LHC/poSZ0Vtn1wfx7os2bL0tIx1EiABEjiCAJOOI6jSJgmQAAnsR6Aq6fj371+QF/Tv7+/+X+oi2/pXClp1m9jHsecL7TWlZ0Pkj/bW+2runamW27eUoGO1iQzttaVnJ5fDXi5feww7ulxrQ+vDjpYdUV9aO+2zu7ehuQ1rLeNr2keYrXh3D22zoBONPkLb22vC9NTpwqNt0po3bdYeDfSVmjmUdLqHnlcT2sdsViHsMq8Qnvb1aBMXtRY4X9oH2AwM03pZ8+rCXa0VbNxubYhmgkxd83HWHW5ZnpIAk45TLhsHTQIk8EEEFpOOv3//ht+/f4eu68LX11f/L3WRSdsefwgULFulNkvfk5XsSBCFdivpQBts58dLcrTvXepx6Lrnx9KxZNLfk3u2LfkeNiy7Wra0dloXQTvGFcsU5faBeQpyVeIxzSii2WRTJx1eIKx1ook+iMdYrPNPNIvzVOcv7EippyUJx/Pz6rPzeG5s9uWMF/Yw7sQ2rcNsXgFJ31RHJx2enRscpaVg7cQEmHScePE4dBIggY8gUEw6JKn49etX+PPnzwyGyKRtj8QDwcbMyU7Br9i1fWSfRssn31lwafez7Xm6+bw8PU/u9Rd9/Yf+uRw6aMexlJbMk0O3pvRsaN/P1ZfXbmo/BadY4xTIIxlIyULUuY8JaXOf3xGZBM+woQNzyLrwuI93PSZ2auawpGONOfdl6WyYV7DsPOlrXKSYGEQ+j9A2g23ctYk6OllAMhX7TVc9qKQkrmlcN6xP3ofHZyTApOOMq8YxkwAJfBIBN+mQ7VNyN8NKOABI2kTnma1WYgtBLOzqstQGPegsldAfyhRA3ZomNOMWDQQm0IVNHKO05JYM+rr09Dy59EUbSm0vr0MHJdrzY20XOigtXbTpsqRXaos2YgCYf1I9HOv4MvZRwW9p7ZJ+v79mXGO97SYlIoMfHGudiRV1oM6fbHtVZyYYuW3V3z3/KnQQdN9UAB1lmEfuW01jVlU+s3mluyV7+Rqdx3MA450NShYwboHUdygia/tEGe5c9de2tg0e2d0gyy1lpyHApOM0S8WBkgAJfCgBN+mQF3DZRrX0Jzqi+8xfKThFG8rcjyfP9ebHElw1ob3Lnv4UaL1r0jEf/3qJxUrLUNflkhfoWnpoQ2nphBhwrk06ltfO9KeFMTgfg2gcy/MX8XkM8TO/DhDsNvf77JkOtN0mn74j0EXAXnP+VehgzJNnGDJf0HlyXinpsAL49QyHpfCvvbhUGH//DM70jlO8+zHeFZFzzXxOJxobE9A8odLtrJ+SAJOOUy4bB00CJPBBBNykQx4al2c4lv5ER3S3/OlgVNe1LU8OnaV26JXLcuCT+8iPYduTo12XuW5+rHX3rGs/up77KLVp3ZJeqU3beK5eXjvfduoXPzkvJUD6k3QEwX1SkQX44jDaacJ9fKA7JiL5sxb9ANNY8qQ3jd/Rib6sRGD8JD/qGIndpnnt4AsTi2PTNtE4luAticLkgfzEBOdaLCcJn7an+ui5axXWT0mASccpl42DJgES+CACb5N0CHMEDJq/JVvTrnX9egpEvKAP40Bp2Sq1iT7aa0vto7aPpbfWt9bXY9B1+Cnpah3dd1KPQacREJsB+qR3v+0G317krV3eQ7bqoI9+4DglCxKsD3c3UrKAoDj1HWJWI+mY2J/Pax7rJpv+HBydyA/jk9liTPOk46l57eYLK+LMCc1ZOV8LPPehkrs4RmvrVPI3WffMDw/PSYBJxznXjaMmARL4HAJu0iEv4Edur/IC0lyeH1tLA52a0uqvg1A/6LN7ain8a5lV9/Q8uWVDy7b20zby+pJN3a7r2o4n1zo60Ie+LucB+qT3hqRDB57Y6jTajJ+oWwH8qIugNg4MAX5mq38GYXzIetwWNHwNb64nvtOY/PPP0akZc41Ozbxq7NToYAmjrsUESrr0WGsdh5NifNPPv+iurJ+aAJOOUy8fB08CJPABBNyk4+gHyRFY5oxzeX6c6+PY0/Pk6DeUXqAy1Vo6qvOV7njk9mr779Uvt6OPS2Ox2mpl2sc+9TVrl3T7T7rzRzViEOwnHfEZgv6ZgPldjLhVazY5BMzaNpTSuLYnHSpwz+eRH/duMZ6hX9W8op3nfGHWMeG0tkLJ7470z2loXtMx98+YzHQSy5gXThKONlg/YRLHxMppCTDpOO3SceAkQAIfQsBNOmT+R31lrhWgat66Xde1Tl739Dz5tH8KVHTQh741pdiD3tT2/MjT8+Sw4LV7cvTT5Rpd3Q/1Uv+8LT+GjX1Le+0sHymwVkHzRHFuK32t7hD8JhtGwiGJiES68Uf4kp+4NShFwsrz3K9qHKuezlwefcVg3tDBnY3xAfSqeangHdfJFl+YW/RpMYkJTvoa6+grPjSPJETpxHkl9tEP73AA/SVLJh2XXFZOigRI4EIEikmHzFMSjz1/HLAmENU6ul7i7ul58qmteVA2ba87qvPlJydL/Zfaa0b5jI2avlpH12vGtk3HWbsYtI7BZzy2k4UY98agdaqHIHs+RgS+KcjV26XAYCi1jrbkzEGrGAF/bHbGHOckio7Ounn5dtb7Wp5zSjL8tXB1MKDadY8wWTkrASYdZ105jpsESOBTCCwmHQJCtlrJC7p8S5X8S/3Z3+aoBYygzdJH29pybms5AJr3mUswjnlLSjSgU1tqW+ijZWvre9io9fkaX87axWBzCPS94BRjRIzazy3eqZBg1/7K3MTASjqktVNfuzt865K/rceZQ3Ky+NyH3JFJvzjexAfhpybuYXiu5Jl5Db+O/ryvNOcJ+8mA5abR8rxmOuorjlete+abh+ciwKTjXOvF0ZIACXwegaqk4yexICj8yTHU+n7FWOGjtrTGXttX9J75g59nbLAvCZAACdQQYNJRQ4k6JEACJPBzBN4+6fg5NPRMAiRAAiRwFgJMOs6yUhwnCZDApxJg0vGpK895kwAJkMCFCDDpuNBiciokQAKXJMCk45LLykmRAAmQwGcRYNLxWevN2ZIACZyPAJOO860ZR0wCJEACJJARYNKRAeEhCZAACbwZASYdb7YgHA4JkAAJkMB6Akw61jNjDxIgARJ4JQEmHa+kTV8kQAIkQAKHEGDScQhWGiUBEiCB3Qgw6dgNJQ2RAAmQAAn8FAEmHT9Fnn5JgARIoI4Ak446TtQiARIgARJ4YwJMOt54cTg0EiABEgghMOngaUACJEACJHB6Akw6Tr+EnAAJkMDFCbx90nGmX7U+eqywv6bE+VvbJ9fHsS5Ltiw9LWOdBEiABI4gwKTjCKq0SQIkQAL7EahKOv79+xfkBf37+7v/l7rItv6VglbdJvZx7PlCe01p2ejubWhut+inaR+hMxRz+4ZKtGG1iSy3sXTs2cnlsJPL1x7Dji7X2tD6sKNle9a7h167JrQPa+Uyj909tE1pvbvwaBt1Tth2a8+bwfsjtP051oT7ZIhduKuxgNft1oZHHPZ+OnvNa5l7DcManRBCab0ebfGaahPEsp3ImpUzE2DScebV49hJgAQ+gcBi0vH379/w+/fv0HVd+Pr66v+lLjJp2+MPwZZlq9Rm6Xsyy86jTcEn2vtyEq2kZAG2oYtjlJ4c7XuX2p+ue34sHUsm/T25Z9uS72HDstvLnIAzW7pp9+6ukom09o3KBLxzQtv1dG5aSXlO+nnSgWQkjWVgppOOfXTSGKa+9JA9ncm8Krh7dmp8aR1JOPQHAjif4no5Y4FetLVkR60Vq+clwKTjvGvHkZMACXwGgWLSIUnFr1+/wp8/f2Y0RCZteyQeCBJmTnYKfsXu3EcK5hDEyCe4g14KDuf9hlFacku2Zk5r+4u+/kP/XA4dtONYSkvmyaFbU3o2tO/t9fTpf1y7ezPMpbmbd6pCsPqM6x37PELbDHZw1yQG0DGCrTtv4tziOSXBfjqv+nYEw9F/7JUqu+jsNS+LYc690tciZ8tXvl4JE2pxvSLTbXZgj+V5CDDpOM9acaQkQAKfScBNOmT7lNzNsBIOoJI20Xlmq5XYQhALu7ostUEPOksl9PtSgrl+a4v9qTJiTNic9HXG7OnW9BWdUn+0ocxt6mPooERbflzyaenCji5LeqW2aGMSlE8/hZf+WIeoLxUE4jqIjzK9nroXkgWvXeuiLluAxjFhIJXnzWAhBbwDi2nS0SFRgm24VeVeOsqkANw2r8hYzSPKPK6Gr+lg7PGEDesVzyU9lg12ZuOj4AwEmHScYZU4RhIggU8m4CYd8gIu26iW/kRHdJ/5KwWnaEOZ+/HkuV7VcQygUlDl2bfklszy6+l5csvGFpllX8tQ1+WSH+haemhDaemEGCjOEw7pZ8bjcZ2s4DKt3cQf+jRtuLfjp/O3JrRqa5Wpf7uFpvXunow9YFsnQX1uNPhp7nfzmY6Y0Iyf+st882eK9tKJc4tj3TCv2LeSe9Qv+PJ0IK9dL+NOVj/n1XYiKVZORoBJx8kWjMMlARL4OAJu0iEPjcszHEt/oiO6W/50MKrr2pYnh85SO/SWS/WpdBbp5j7yY9j25GjXZa6bH2vdPevaj67nPkptWrekV2rTNlbXY6JiBb9OohL7GMlNtt79eBCsygPgEvi6+bdz3qB/v80Hn7brhEj1U19k0DMztgaBZSxX6SjCGNeWeUWGldxrfHk60VflekV9PbYQikmtte4KFavnIsCk41zrxdGSAAl8HoG3SToEPQIqvQyWbE271vXrOgDMgpaxE8aB0rJVahN9tNeW2kdtH0tvrW+tr8eg6/BT0tU6uu+kHoNFI7j07nTEPnqtENgvJx14XiNuXZp8W9RkdKGs4503ST7EtRibTjrw7EMT7uO3bqVnijCHvXSmc5KjTfPawn3R1zC22XiiL2ExZHwznTitxBvP+MSmVXZiL1ZO9Gw3BwAAIABJREFUSIBJxwkXjUMmARL4KAJu0iEv4Edur/IC0lyeH1urA52act4/BSyzB33nykUJ/BeVVPKR69X236tfbkcfL41Ft+v6Ghu9rgoKYUeX5ofR8dNxK+nQgb0azZY+wwDNrVH6wfTZeYM5xcFbSYcaW6ymc3EWPO+u440pjWE2r90ZxknJLYkp5zW+oq6x9rFtxbmih8X6aQgw6TjNUnGgJEACH0rATTqOfpAcgWXOPZfnx7k+jj09Tz700wFWG2p+5gH+rLLsK/Xw9Dx56mnXtvazrQ3Skk2rrVZW8lndFgNJFWRGmQ4ulUWzPQt05Xc/+ucrtI1MpzdZPm/icxj5tikcSzIi45n5Snb7fGUvnZ3mVfUAf42vGp2a9cLyIsmLW87Q0N9mGb92d2lNVR9WT0mASccpl42DJgES+CACbtIhDI76ylwrQNXMdbuua5287ul5cumfgkMVvCrD6FtTSjfoKRNm1dPz5DDitXty9NPlGl3dD/VS/7wtP4aN58sUnOOOQNx6YwWevUOjD4JVbK+Kge4tzOxCp+K8SeeVvWVs+N0LJDPKVxwPzseddHaal767M+MD7jW+anSMB8PT9jOdQKjrON5Z0mdYxbprddZPS4BJx2mXjgMnARL4EALFpEMYSOKx548D1gSiWkfXS2vi6Xny9KmtHRia8UtpAD+YdCwMa9Ls8pho2Qc1fbWOrtsWn5DGAH26fnHdYmCLAN5/qBgBtIwmJi+4KzGWUSfanfrFXKP/ydSQPKixlHwpI+549tLBE/K181riXpoXfFXqeA+Bx7XoGc+Tigl6OXDGPLUz60XByQgw6TjZgnG4JEACH0dgMekQIrLVSl7Q5Vuq5F/qz/42Ry1pBHOWPtrWlmLLC+ZgS8V0lmtThr5WI9rWltoW+mrZ2voeNmp9Hu1LPvlOv1jdxAeO+/HFIHoa6Euy2fa/zyJJg/2Vud3dt7vtvLGTDhnnzJcKzMH5MB21n3DNvIrcx0HPxqx8ufMydJbXKyUdxWu2Yt0xLpbnJMCk45zrxlGTAAl8DoGqpOMncRwduO45t1eMFT5qS2t+tX1F75k/+HnGBvuSAAmQQA0BJh01lKhDAiRAAj9H4O2Tjp9DQ88kQAIkQAJnIcCk4ywrxXGSAAl8KgEmHZ+68pw3CZAACVyIAJOOCy0mp0ICJHBJAkw6LrmsnBQJkAAJfBYBJh2ftd6cLQmQwPkIMOk435pxxCRAAiRAAhkBJh0ZEB6SAAmQwJsRYNLxZgvC4ZAACZAACawnwKRjPTP2IAESIIFXEmDS8Ura9EUCJEACJHAIASYdh2ClURIgARLYjQCTjt1Q0hAJkAAJkMBPEWDS8VPk6ZcESIAE6ggw6ajjRC0SIAESIIE3JsCk440Xh0MjARIggRACkw6eBiRAAiRAAqcnwKTj9EvICZAACVycAJOOkyxw7a971+iVdEptggrteakxok3Llupb+vyEzSWfbCcBEvgZAkw6foY7vZIACZBALYGqpOPfv39BXtC/v7/7f6mL7Nm/7tGGprmpQLYJTXsPj+5Zy6/o/wjtbRh7+zjeH4Ly2rI0ItiwdEptlr4l22Kjtg/0lkoZF3SsMep26JVKz4bIH+1wHjT3Y0/cVX66e2jVtdW0j5CPrr/+xnP4dmtCa1x41MHr0zn44Dxdda6g08lLJh0nX0AOnwRI4PIEFpOOv3//ht+/f4eu68LX11f/L3WRSdu2vy7cVUA0D/aacHD8tm3Yk14/k3RMhmAcgKXRFEUlHa8N8qVSnEAnOixUtK6uF7pMmkp9Sm0TIwsHJTsSlKP9yKRjlZ/uHpqYTCBovoXJ+NS4MX4pJwk0deLagtFb8xnP41XnysK5f6ZmJh1nWi2OlQRI4BMJFJMOSSp+/foV/vz5M2MjMmnbknh092Z8M59+ejj5VHXy7j5z/waC8yUdCJxQWhBLbZa+JYMNlEs6uh19pKz5g76lW2qz9D2ZbacLjxbn8ZF3Otb6SQk9kozuPiZGzX2822HpjHOhTgjhjHzk7F17rnhn/DnlTDrOuW4cNQmQwOcQcJMO2T4ldzOshAN4pE101m21KgfrkpBYW6wkcEqf3jahtW6FZFtKbk0b7taWEWWr33YSP9Ftg94pVfap5nF/qK0sTWjueisL9Jpwj37bcQuZESS0CAxBOZUIfpfK1GNaQz+R6rrWghylbtP90I5S61kyq6/uk9dhA2XejuNSe6kt7w9dr4T+UKag9NY0cYsggvyp7ngUz7F050H7snPsDX4CzrfpuTwZU7wTou4oRtnYLx5Tp2cXebwpH5UoVZ+Tk5Pi/AdMOs6/hpwBCZDAtQm4SYe8gMs2qqU/0RHd6r/8zbuiI/Yn6yBN6pMgrxDU6b3q6S6LFfylQG3ZJ4I7y84t3GIUaeiNnyZ7PlLfCjiVKmCn1Wtl6GPpS1suz4/R/4iy5AttKHP/njzXmx9LMiCJrySXKTGYnI95p8L5KeOIp8uk3wY/uL4k4Y53YrIkHTq3dL6HmKyMSQZ1wu1MfPrzcOU5OTnXzn/ApOP8a8gZkAAJXJuAm3TIQ+PyDMfSn+iIbvUfgq+4jWOhpw5+kANpWd9dBfbxgdkuPOI2LgRXhl73UM+X5J9i4o6E7FzAPnnDVoOH37VPfEI89znkcpAnH3EbzCTYWeBT0VwKrvO2/Fib99pyeX6sbexV1z50Xdv35NBZaodeuaxMOspGKlor/eD6Mp7piMls1MG5LO5xPo4JEHWcpONN+UzOoMpzZdLn/AdMOs6/hpwBCZDAtQm8SdKR3iQRCMZPGWPwY99R6D8hniUEWLQskIp6SAhGvehjDMLiccFnHqTB5UyejSHqodKFx+Me2viptPjUwWC6k5DY2OPK28UDZPBmlVpH10u60EOpdS2ZtEO+pdT2tS3IYRPHlo5uq2nP9e3jdO7uf6dDe1zvB3f40t29/PzW51l2nsZrgDrDKrw5H32q1N59m/Q5/wGTjvOvIWdAAiRwbQJu0iEv4K/bXpUCKgSPCLxTwGQH2n3SYQZIsnDJbh8QenoxGRkCrCqfMbnIEhjlc9gyg2Blrpc/iJzPfenUg/6S3pr2I2zW+F/j19PN5fmxNQ7o1JRW/9k5ZivJ9+oWky57e5U2lp3LuknXs3N5aMrOQepkif0F+OhzQL0GFRPhSZ/zHzDpOP8acgYkQALXJuAmHa94kNx8Q4zBWZYAlLZjmUGULByCiXFLRNTLEoAtPnPb8TzJfEY9z+e4D1v2XGEcpblGP+nOgRI9XUXw7RlCe03p2bDksGe15TJPN5fnx7kdHHt6nhz9hrIyGZh22nBU6See49YdivEcjDrqnIyysV88pk6/WJHHm/KZnFGV58qkz/kPmHScfw05AxIggWsTcJMOmfarvzI3yPMVcZtR/uYuicPwUEf6HnoEVinQl33ro9YOz3RU+pTtUOPzJukuST42Fbz1j4jgK0qh14X7+CNzNyPpsAJgS+adrmt0PRsir7FTo5P7qO2zpKfbdT33p489PU+u+1bf6Zh22nBUG0jO9ebXi6GD55/iuUcdWX98MBKv67flo0+p+drp1qvWmXRcdWU5LxIggasQKCYdMklJPI74cUD3m5vGB2Dlq2zx5+kiIOj1cJfAeIBWmQoxeFB6TYPfW0ACkH5lGoEnyuRTJTrKFvTiQ7uLdzqsbWNpHGAAuzheWz7bH/5q7NTowB7Kmj5rdWr0xb+n58kx5qF8VYDn+ImfwKuk1rkW0rnb/4x6nDfmKaW+VuKdt+z8ps54Bjicf4xPPDGdcyW2X7PCpOOa68pZkQAJXIfAYtIhU5WtVvKCLt9SJf9SX/fbHDawTh6gnvwyuf0bHf2PXsnvd8TgJ/sK0NH8zF7l73Sk4EoH+8M3Ufk+U9IhX52a5jH8TkeaMfRUUIjxxt/tuAX5TZFH5+siMEx219We7Q9vNXZqdGAP5ZY+6OuVJZtoW1vOfb0qwHP8WEmHDHLymzXe9ZL99g1u16lJTn6w8zb9MU+oUQcfHPw8n2FNnHMFC3bRkknHRReW0yIBErgMgaqk4zKzjXcdht/RSN/Ai61O/g/zvQODNQGyNd5n+8NmjR3o1pawWatfo3eEzRq/1CEBEng9ASYdr2dOjyRAAiSwhsCHJR3+tikJUCfbT9ZQpC4JkAAJkMCPEmDS8aP46ZwESIAEFgl8XNLRb9Vq9VYt2Rphbz9ZpEcFEiABEiCBtyDApOMtloGDIAESIAGXwAcmHS4LNpAACZAACZyUAJOOky4ch00CJPAxBJh0fMxSc6IkQAIkcF0CTDquu7acGQmQwDUIMOm4xjpyFiRAAiTw0QSYdHz08nPyJEACJyDApOMEi8QhkgAJkAAJlAkw6SjzYSsJkAAJ/DQBJh0/vQL0TwIkQAIk8DQBJh1PI6QBEiABEjiUAJOOQ/HSOAmQAAmQwCsIMOl4BWX6IAESIIHtBJh0bGfHniRAAiRAAm9CgEnHmywEh0ECJEACDgEmHQ6YdxPX/rp2jV5Jp9QmTNCel5oX2rRsqb6lz0/YXPLJdhIggZ8hwKTjZ7jTKwmQAAnUEqhKOv79+xfkBf37+7v/l7rInv3rHm1oGvlxPvw3oWnv4dE9a/kV/R+hHcfdPo73lxiBVbksjQi2LJ1Sm6VvybbYqO0DvaVSxgUda4y6HXql0rLR3dvQxHP3Fpr2EY44dfvrJPppQrt4gXThMfkBTKvPoBPn3LThPhs8da7HxzqTryFj0nGNdeQsSIAErktgMen4+/dv+P37d+i6Lnx9ffX/UheZtG3768J9kmzkAXRjBEDbPB3X62eSjqX5IEgq6ZV0vDbIl0rxC53SGNCmdXUd7UtlqU+pbcmubrfsPNr8nB2P985AH23kiXFIWXLjjS318a4/fd1RR/Me6mfno8/q69WZdFxvTTkjEiCBaxEoJh2SVPz69Sv8+fNnNmuRSduWxKO7N2MgNf0EdvKJboqQZr7fQ3C+pCMPoiyO0LHaamWwgdLqhzYp9Z8n1zq6Dn0tQ73UBp2acm4nrX0z3h6Qc3fQ04FpjfWSTgr8ox9cO83duavyCG0zXF+4IxKTEFxTs7F24ZHbpU643bCWF+FTOtUu0Mak4wKLyCmQAAlcmoCbdMj2KbmbYSUcICJtorNuq1UK2BADwZ6UkpBYW6ymW1ma0M73gkjn0Oo7KLJlxNiKom31W2JigNUGvVNK60kAMvWp5nGXQA+ffDehuettNtBrwj1ux2nHLWTZ9pWbbNHxgsl0BwFBsFdqnroOfZHpuqVT227pWTLt02tfMw7olmyV2vL+0PVK6Pdldx+3BerzBevs3IWI5xjOk2lpXQtyPg/btxD89hfIKNO+J6PLDuQcm96FiUn/JHHB+Ae71LmF28X4ZCfG5Q6ZdFxuSTkhEiCBixFwkw55AZdtVEt/oiO61X8xkKoNmkIKmuK+9iGIwqe/ve9CUIdPfEUvBlOZrSHYTGOKgVqml3wiSJsGjzFojVGkoTcGM56PW+xbTXVREePSirUy9LH0pS2X58fof0RZ8oU2lLl/T57rVR3H81olCLpj4fyUcZhLHm2m8zIEnE+OH+0z9p8ms/EaMIPqwS51vKTjvHz0qXHFOpOOK64q50QCJHAlAm7SIQ+NyzMcS3+iI7rVfwi+JgFPoXcMnHB3wPq0F4HYLUjAPqRKakvEDUGbodc91PMlo95anw0eftc+ERTOfQ65HORpXnJnZQiEMd4ClxVNpeA6b8uPtRuvLZfnx9rGXnXtQ9e1fU8OnaV26C2XaRvUrgkjrpV4/spIcN44iYoebDyPJYBWD4pHu028ExiTDCRA1Bm2V413Si/BR58bF6wz6bjgonJKJEAClyLwJkmHCtrinYUx8I7Bj31Hof+EOAZXebCeBWhRDwnBuJbRxwqfbvCX+XT1cB514fG4h7bFcy4yz+k8EByvLcUD+sCbVWodXS/pQg+l1rVk0g75llLb17Ygh00cWzq6raY917eP9bk7XbeJfjzHCufxpIPkF1YSmp9feaf5cQqYMT495vl4hrsu1ME5lZfn5TM/N64kYdJxpdXkXEiABK5IwE065AX8ddurrABnCJBSwDQPjiQY6AMAMziT5Up2+21Rnl5MRlb4jMlElsAon0NwgiBxridfa5oHNMMxgsPyKYe+Za11rUfYrBnBGr+ebi7Pj61xQKemnPdP51d66Hiu1UviuVc4j/Ou2Xk5NHvnU95ZH1t9ps8TybNEw3NJ+jylDs6L6/DR58W16kw6rrWenA0JkMD1CLhJxyseJE/PRyiwMTjLEoDSdiwzOBObCLbG5CTq6cBq/olyTHRKPnPbcQqZz6jn+ZQH1B9Dgoe5F/1GRzFhSZLnawiyPEtoryk9G5Yc9qy2XObp5vL8OLeDY0/Pkw/9dMKRtsjB5i6ldb5GmZOYPuS3bySZ1e04J7NzcDJI6Oh+EwV1PVEnJzMcn5GhPZMzSpl0nHHVOGYSIIFPIuAmHQLh1V+ZG+T5ivjp/xjYxCBLEofxaQ0E5zGwwpv93s90VPqUcYzP3MeEZTa2acAX9RoEcF2441uGjKTDCoAtmXfyrtH1bIi8xk6NTu6jts+Snm7X9dyfPvb0PLn0TV8CMF1Xbff5ekpskKCn88b5ljN1vcz64JyM3/KWxh7tDrfn1DfBUUfW8RJ8nj8h39oCk463Xh4OjgRIgARCMekQPpJ4HPHjgClos7ebyFfZ4s/TRVDV68VEZG5PmUrBQ3x25DZ+Miz9kADooHJqL/lUiY6yhUA1PVAMvRS8LY1XjwMMYBfHa8tn+8NfjZ0aHdhDWdNnrU6Nvvj39Dx5+irb6bkBfX2+YX6bS+e8jj5ikpHOrxggZ+dlOndTMoMxD2WyobcmUgfrfHY+m8/CU3Rk0nGKZeIgSYAEPpjAYtIhbGSrlbygy7dUyb/U1/02h024kweo4+9byBu7/RsdEgDJj5cNv1kw6E1/M2OwP7NX+Tsd9gO7Sz6RTNz67VFpHsPvdKQZQ08HLON44+92DN8u9Oh8XQR+ye662rP94a3GTo0O7KHc0gd9vbJkE21rS/HlBfWwFRMCb2Ar5ZMfzZTfi8FttWEw89/y6MfYTq8X3af3L3fW1DNFcsdt9g3Z1MGayrd/XYPPypPvROpMOk60WBwqCZDARxKoSjquQwZBvd6GpYJIY1vTO809BkDZJ9iW3Bq3pefJrP6QeX20HLq1JfrW6tfoHWGzxi91SIAEXk+AScfrmdMjCZAACawh8GFJh79tSgLUtP1kDULqkgAJkAAJ/DQBJh0/vQL0TwIkQAJlAh+XdPRbtVq9VcvfrlVGx1YSIAESIIF3IcCk411WguMgARIgAZvAByYdNghKSYAESIAEzkuAScd5144jJwES+AwCTDo+Y505SxIgARK4NAEmHZdeXk6OBEjgAgSYdFxgETkFEiABEvh0Akw6Pv0M4PxJgATenQCTjndfIY6PBEiABEhgkQCTjkVEVCABEiCBHyXApONH8dM5CZAACZDAHgSYdOxBkTZIgARI4DgCTDqOY0vLJEACJEACLyLApONFoOmGBEiABDYSYNKxERy7kQAJkAAJvA8BJh3vsxYcCQmQAAlYBJh0WFQuKMOvc68pgaG2T66PY12WbFl6Wqbrnh1LR8uW6rC7pLem/Qiba/xTlwQ+gQCTjk9YZc6RBEjgzASqko5///4FeUH//v7u/6Uusmf/ukcbmkZ+nA//TWjae3h0z1p+Rf9HaMdxt4/j/SVGYFUua0cEu7X6nh7s6NLTrZHDTo2up7PFRm0f6C2VMjboLI0TeqXSsyHyRzucE8392AtojZ/u3oYmXt+30LSPMBtddw+teh0wdeLEcd01YTrNLjzaJrK+NW3WHg30lZo5lHT61644rya01ovWLvMK4WlfjzZxiWNOrx/p9WtgmNbLmlcX7mqt0rnaBv0yWLXu0yV5+ohJx9MIaYAESIAEDiWwmHT8/fs3/P79O3RdF76+vvp/qYtM2rb9eW9ceCPMA4ptXo7theDnFtKb9rEe97SOYEFs6rrnw9KxZLX2PD+QL9lGu1euHQfsrO23NN6t9mBXl3qMWi51CUzRfmTSscYPgnaMK5b6gunuk6QEOt4ckk39GuG9nmidRKxmDkUdxRrjlVJPK+wyrz6TjOu62ZczXtjDuBNbvA4PJdoHgul1D/2HMiUdnp3b1FBakJ1qTDp2AkkzJEACJHAQgWLSIUnFr1+/wp8/f2buRSZtWxKP7o5PJKefpMkbffyU7eA3qNmEVgvSm+8rh4o3+ny4ntzTE339h/65HDpox7GUlsyTQ7em9Gxo3zX13JfVR+vodk+udXQd+lqGeqkNOjWlbSf7hP92C17AXuPD11nrJ10fGE8K5JEMpGQh6tzH5Km5z++ITIJn2NCBOWRdeOA1ZmKnZg5LOtaYx9ez6MvS2TCvYNl50te4wDExiGN+hLYZbOOuTdTRL3BIpmK//IypWfe8zz7HTDr24UgrJEACJHAUATfpkO1TcjfDSjgwGGkTnXVbrdKbkn4vg01JSKwtVtPb9U1op3srhu7ZdoZ+i4Wx7UHb6rdyxGAmfVonBrXe7Zb7VPO4yxs2Ph1sQnPXW0ig14R73GrSjlvIjACnNYItwFkZ6KMbglWUkFsldFBCJz8WuSUryWELpde/xgb65iVsl2yU+uj+2gb65O04LrWX2vL+0PVK6A9lCkpvTRO3KiKAn+qOR/Fcx/k6La1rMqjgt9qPBKf9NaGvKVwLuCuAY61jjlquxmxbDxIMuU7zQFxs5LZVf5dVhQ6C7lvyn+5qYB65b29OIlc++61Pll1LtsXXOI54DsCGNT55bRrPDXVSRNZKNuldte6THrsdMOnYDSUNkQAJkMAhBNykQ17AZRvV0p/oiG71X3zTLr3hTa3FN79sP/IkuIpvpNMgSoI3fHInVuObZmZrCPLSmJZ9IrCY++ttxTdlQ2/8lNDzUdqGgGB0SshPAHK9rceWXy1DXZdLvqBr6aENpdaxZNKey/NjbWPveskX2lDmvj15rjc/loBVkmFJclPwOrku8k6F60TGEU/bSb8Nfib9x4N47Y9BNI7l+Yv4PEae3A99cd029/v4LFUKxNF2m3z6jusOejVzqNDBmG/ptSIlOPvOa57MCItsXhhPBcORZEze3PMENuWuWfYhSHzNGu+KyDlTfganf9Ed72BjLcbzYeeCScfOQGmOBEiABHYm4CYd8tC4PMOx9Cc6olv9h6BnEiAUesc3QNwd0G9ieOPHG/EtSMA+pEpqi0UMEAy97hHfhG/QW+uzwcPv2ifeYOc+h1wO8jQvubMyBKCYl80lD1LzY7vX81LtR9dzy6U2rVvS29KW98mPte+96tqHrmv7nhw6S+3QK5eVSUfZSEXrVj+pX0yq8VpgfQCgsx9cj/1rBq4bXF/Z9qrxzmZMRMxEKo3FDby9JC6OWV+jGNOYtEUd4wOJTfPawRdWNo5N20TjWIK3rMvkgfzEDedsLN3Xc9VHzz1zucchk449KNIGCZAACRxH4E2SDvXGFAOQ8U0xvkkab+AIKOKbZP5GmgUDUU8FLMI2+ljhM37imH86nPl09bCoXXg87qGNn/TKPPN5pE/x45t85GRzgXUpa/tYemv7a309Bl2Hn5Ku1tF9UUd7XqK9xnbet+ZY27d8wIbWs2Rr2rWuX0/XkB9I63PdPm+W48JKP5OBpj6Tczted+luZEoWcA2kvsPYcH3pazjpgLUu53NK+j4rRyeOGeOTiWJM86QDd1k3zWs3X1gMZ05ozsr5mPHcRxPuSO7iGPPXQTGW/E3WPfOz1yGTjr1I0g4JkAAJHEPATTrkBfx126v0mxOCoeFNPb3xQT4t+4AivvHpQECAJbt9cOHpxWRkhc8YaOjgZ+rTD5IGvclXfE6SiHweafERTCXJUPPkuV5+vLVfbkcfL9nU7bq+xobW3bPujcfy4enm8vy4ZAu6pdLqPzvXbSWVYE+vI/ibB+i5oeyayptnx0lfnouaPIqVXXdDVwTwoy6u2TiwrD36mz4fJduChuesMp+9fhrT6qSjZsw1OjXzqrFTowNGUddiAiVdeqy1jscyyWfrrrvvWGfSsSNMmiIBEiCBAwi4SccrHiQ33/DxZjx+2h+TDvf2vbXdCqTwpjl+Cue96W7xGZOO/BO+zGfUy97oo89xT77suYKsMFcEh5ghSk+Odq/c2s+zJ/KSTautVqZ9ok9Nqfst1WFvSU/aPd1cnh97tj09Tz61k4I887qaKj9xtMZP0u0/6c4fEYvXo06ycf0M10t8hmCSlKuEKSYj+ZRgR9uGThqXz8rRiWNW13OUjb7y494txrNiXtHOc74w6+Lry0N+M0keyNe8pmPunzGZ6SROaSmSzFz3OKB9K0w69uVJayRAAiSwNwE36RBHr/7K3CDPV8RtRvkbuAT349MaCM7jGyTeHPd+pqPSp4xjDKhikjQbmwoc+jwJ37iDN/ku3PFtMQckHV7g6smtE22N7tr+ue38OLe31C76NTpb7NbY1r51Pfenjz09T677Vt/pmHbacJQCSj9gH8ymhGF67ienc1vpa3WH6yLZUImGTkAk0o3fWpf8xOswRcLJbX4HVLWk6nxsQ9tcHn3F69bQyV6zquZljHOLL8wp+rSYxAQnfeVy9DV7LVM6cV6JffST39nCQA4qmXQcBJZmSYAESGAnAsWkQ3xI4nHEjwOmNyY7mJBvRMGfpzsJeuKb39yeMmV+e9XwCZ/0QwKQft0ZAR/K5FMlOjoIQj06hV56U+7nVRivHgcYoMQ4cIzSk9e2Q69ULvl4tq+2r+uW3aV26VOjk9uu6bNWp0a/NN66/vNAN5/bPseOnxi0jud5PJ5fjzKfdHngyxOmeuk6y0dtXU9pTGA1lNk1F00lfd9PQce5duOcxI+j4/uz5uXbWe+rMJ+RS0oy/LVwdTDA7zqXAAAOsklEQVSg2nWPa7FfhUnHfixpiQRIgASOILCYdIhT2WolL+jyLVXyL/V1v81hD72TB6jj71vIG539Gx3yKa782Ff84cDZb2YM9mf25JtXcAtCDUH//kaf3MQAISUdyz4RJNz6ryxN8xh+pyO5g948ANLjkG+JeXS27jSQmgYEpbY0hm0BuO4vdfjK5UccL/laat863hq7a+dbsom2teV8DMtB5bzPFonjJwabw3nuBaeYJ2LUfgTxTsXwGmD+Bk8cqn2N9Hd64l3S4VuXjEt/tOLMIfqQSlln8kOm8npkOdtlXsOvzU9e+zb5SvOZsJ/M2fhtIsPX5HUrey1ete6Z72cPmXQ8S5D9SYAESOBYAlVJx7FDeKV1BCx6G5b67Y64PeKVY3qdLwR8taU1stq+ovfMH/yUbECnVJb6W22wZbVtlR1hc+tY2I8ErkqAScdVV5bzIgESuAqBD0s6/G1TEhj6Wx+ustycBwmQAAlckwCTjmuuK2dFAiRwHQIfl3T026ZavVWrZkvHdRacMyEBEiCBKxJg0nHFVeWcSIAErkTgA5OOKy0f50ICJEACJCAEmHTwPCABEiCB9ybApOO914ejIwESIAESqCDApKMCElVIgARI4AcJMOn4Qfh0TQIkQAIksA8BJh37cKQVEiABEjiKAJOOo8jSLgmQAAmQwMsIMOl4GWo6IgESIIFNBJh0bMLGTiRAAiRAAu9EgEnHO60Gx0ICJEACcwJMOuZMKCEBEiABEjgZASYdJ1swDpcESODjCDDp+Lgl54RJgARI4HoEmHRcb005IxIggWsRYNJxrfV0Z4NfxV5Twlhtn1wfx7os2bL0tEzXPTuWjpYt1WF3SW9N+xE21/inLgl8AgEmHZ+wypwjCZDAmQlUJR3//v3rvwP9+/s7yL+8uIvs2b/u0YamkR/nw38TmvYeHt2zll/R/xHacdzt43h/iRFYlcvaEcFurb6nBzu69HRr5LBTo+vpbLFR2wd6S6WMDTpL44ReqbRsdPc2NPEauoWmfYQjLqH+eo1+mtDWXKjdPbTqGp+PrQuPyY912nbXzRHXZhPuExBduKuxJM5tSJfwfjp7zWuZew3DGp0QQmm9Hm08lxO79DqUXgdrGFpn8nMyJh3P8WNvEiABEjiawGLS8ffv3/D79+/QdV34+vrq/6UuMmnb9ue9KeENLA8Wtnk5thcCm1tIb7bHetzTOoIGsanrng9Lx5LV2vP8QL5kG+1euXYcsLO239J4t9qDXV3qMUL+aHHNZOXeJ6UTcBbddPdJMoTxNyoT8Mav7Xo6N60EICGEpJ+/jqRrFmMZSp107KOTxjBdFz1kT2cyrwrunp0aX1pHEg6dvIJRXC9nLNBLtmoYqgXbqcqkYyeQNEMCJEACBxEoJh2SVPz69Sv8+fNn5l5k0rYl8ejuzRjoTj/VnHyil97BZr7fQ5DeWF85VLzB5ww8uacn+voP/XM5dNCOYyktmSeHbk3p2dC+a+q5L6uP1tHtnlzr6Dr0tQz1Uht0asq5nXQOIjCUa2jQywPuGg+eTvqQIPrBNdzcnbsqVp9xbLHPI7TN8FqAuyYxgI4X1co5xvlLsJ8xQFAd/Rvz3UVnr3lZDMfXzjiHSl+LnC1f+XrNecX1iuMZ7pb0yYuWzbvuLmHSsTtSGiQBEiCBXQm4SYdsn5K7GVbCgRFIm+is22qVgogYV8Bg/35lb7Gabq9oQqs+LY3ds60Bt6YNd2MLiLbVb/eIgYr+xFN2GuhtK7lPNY+7vPHjE80mNHe9vQV6TbhHe+24hWzY8oBgUkrZXjbZERInN1Sgm4ndBED00Adl3lcfQwcl2vJjbRc6KC1dtOmypFdqExtoz8sa+6U+ur/lJ2/HMWziWJelNuhBZ6mEfl9KgNyfd/q8xfnm3IGL5zrO12lpXZPpE3AVxCM4v2nfenQYh9eudVGX62EcDwayao4pcB44qvGOry29HLbhVpXxA5EndZRJ8bxtXpGxmkeUeVwNX9PB2OMJG9YrnkvTsdQwnA1pBwGTjh0g0gQJkAAJHEjATTrkBVy2US39iY7oVv8tvmnOLcVAJO4nHwITfOra94hvgNMgSoIMfIoqevENMbM1BCnpzXPZJ96k5/6mgY2hN34C6PmYbK/IcAzjnN6lEBVPnnXffGjZ1zLUdbnkDLqWHtpQah1LJu25PD/WNvaul3yhDWXu25PnelXH8fpSgaruWLhOZBxmrB1tpusjxCDV8YM+kvi36s6m9WGBjA/6FYl30p36xrXd3O/j81bT9ni9jZ/6y3zzZ0z20onIn5lX7FvJPeoXPrzwdCCvXa+QErzJ67De3lbgHPnsWGHSsSNMmiIBEiCBAwi4SYc8MC7PcCz9iY7oVv8h6Km99Y43Q/lEFTmQlvWOVWAfH6LtwgNbQOKnsYZe91APl45v7tp+jc8GD79rnwh45j6HXA7yNC+5szIEoDrImJPNg9T8eN5jH4n2o+u59VKb1i3pbWnL++TH2vdede1D17V9Tw6dpXboLZcpECwlrst2Mg1cs/E6knacv06iEvsYSbmV2cRr7hb6O5S47rKhyF2D+DC4toP+/esKxoZrUIyofvkHDvG1aC8dNWiMS3xKQL9mXpGhfj3A3AzuNb48neircr2ivh5bLWfFZ8cqk44dYdIUCZAACRxA4E2SDuvNfnwzi29uxpshPpmNb6T5G2D2Bh31dDDSfzQ3DfZrfLpBV+bT1cNqduHxuIc2fhos88znkT7FR4C6VMK6lEu6pfa1/bW+HoOuw19JV+vovqijPS/RXmM771tzrO1bPmBD61myNe1a16/ra2h+/sR+Ved21B4qsY+2m5/nXp90pxF3IqzzG73LOt4ck3zIQzA2fZ3j2YcmbrlMz78ggN9LB7NJ5aZ5beE+uZur1yuNRWqz8URfNeuVeOd3OfpktL/DUeI8HcteR0w69iJJOyRAAiRwDAE36ZAX8Ndtr0pvYgjQEJikN8dC0hHfMPM32WS3f3P09GIyMvSv8hmTCR3YyCIln34ANOjJV2qm+er55fNIiw/9JBlqnjzXy4+39svt6OMlm7pd19fY0Lp71r3xWD483VyeH5dsQbdUzvunc2728HSuHK8Bfb6lur55ELtm18cgtwL72ENtl9Ln8kKfvrunU5gj5hQH79lQ4+uryeY8eIbuXjremJL92dpt4V5kiDlJmY1nja+om7/2afu6nuboc9b62+pMOrZxYy8SIAESeBUBN+l4xYPk5hsQAojx0/6YAMQtEAaa+CaoAxzRwxvr+Elm1MveLLf4zG3HYWU+o57nUx5QfwwJHsZRmCuC0ehurHjyXC8/3tovt6OPSzattlqZ5QN9S6Xut1SHnSU9afd0c3l+7Nn29Dz5YCcFdH2i7m7f8bxWyK3rJsrya260Z7bj2hivhYf8To8k3tpGptObK88xPoeRb5vCsSQjMp6Zr2S3z1f20tlpXuazKznXGl81Orndnru1FurOsPU6VcOw4pTbosKkYws19iEBEiCB1xFwkw4Zwqu/MjfI8xXx0/8xEIlvhuq2P4LzGKzgzfEWZC/7EHfp5ysQ1Bh6xWc6Kn3KOMZgLyZJs7FNk46o12BsXbjjm3usN/PxnPACUE+OU8lr9+Top8s1urof6qX+eVt+DBsol9pFr0YH9lDW9lnS0+26Dj9W6el5crGRAu7p+WXZ3y5LwTk+KEjnr/dta0af/LpV1/bMbrx+lueYGKQ7NmDWl31Gka796CuOB+x20tlpXvquaRwznlPDa0SNrxoddYc2+op88Bo1nEGRd7yzpM+sGoZaf786k479WNISCZAACRxBoJh0iENJPI74ccD4xoVPI7NSvlUGf54u3hx7vfgGOQ88lCm1lznpDZ+AynF6c132md5cJwEO5hGdQg+BzTirwnj1OMAAJXzhGKUnr22HXqlc8vFsX21f1y27S+3Sp0Ynt13TZ61OjX5pvG5/FUxCR5fxFMwnueXYOV+jjzgWdZ47ffR1G5MXXDdjGXWi3XS9Ls/RvuZcX3ES+lmHqT/9evSUHTxJXjsvh6EasvmaJowiw8kzHNm8MB45Jxxf2o6VCOWnUw2fvM8ex0w69qBIGyRAAiRwHIHFpENcy1YreUGXb6mSf6mv+20OewKdPEAdf99C3gzt3+iQNzr5Jqr0a7n5b2YM9mf2Kn+nI73ZpqRj2ScCm1u/PSrNY/idjjRj6KlgbGzs4u92DN9s8+hsXR1kramnMWwLwHV/qcN3Lj/ieMnXUvvW8dbYXTvfkk20rS1lDF5wB1s6MF07Zkt/8uOdt+kPe5pbgYZBqmvcuW71dZDZ3TZH+zoahlP67Z1h1pPrUsajA/MRzCYd3A5duXZF7t54lK9RZf67Q4aOrKN+LZvPPd3BKp1fNXwwrr1KJh17kaQdEiABEjiGQFXScYzrn7CKYERvw1LBG7Ys/MTQXuATwWhtaQ2ptq/oPfMHPyUb0CmVpf5WG2xZbVtlR9jcOhb2I4GrEmDScdWV5bxIgASuQuDDkg69P3y6zUACw+k2gqssMedBAiRAAtcnwKTj+mvMGZIACZybwMclHf22qVZv1Rq2dc23EZx7YTl6EiABEvgkAkw6Pmm1OVcSIIEzEvjApOOMy8QxkwAJkAAJlAgw6SjRYRsJkAAJ/DwBJh0/vwYcAQmQAAmQwJMEmHQ8CZDdSYAESOBgAkw6DgZM8yRAAiRAAscTYNJxPGN6IAESIIFnCDDpeIYe+5IACZAACbwFASYdb7EMHAQJkAAJuASYdLho2EACJEACJHAWAkw6zrJSHCcJkMCnEmDS8akrz3mTAAmQwIUIMOm40GJyKiRAApckwKTjksvKSZEACZDAZxFg0vFZ683ZkgAJnI8Ak47zrRlHTAIkQAIkkBFg0pEB4SEJkAAJvBkBJh1vtiAcDgmQAAmQwHoCTDrWM2MPEiABEnglASYdr6RNXyRAAiRAAocQYNJxCFYaJQESIIHdCDDp2A0lDZEACZAACfwUASYdP0WefkmABEigjsD/ATcGvvURt1nCAAAAAElFTkSuQmCC)" ] }, { "cell_type": "markdown", "metadata": { "id": "BL-gxodZWjld" }, "source": [ "01. Geogebra를 실행시킨다.\n", "\n", " \n", "\n", "02. 대수창에 오른쪽 방향 선택하면 아래방향으로 바뀌면서 추가메뉴가 나오고\n", "\n", " 첫번째 아래방향을 선택 --> 정렬기준 --> 구성순서를 선택한다." ] }, { "cell_type": "markdown", "metadata": { "id": "X44ozcRwWtFL" }, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "Y9ku4Y0sWzwZ" }, "source": [ "03. 입력창에\n", "\n", " **자료1={9,7,6,6,9,5,7,6,7,8}**\n", "\n", " 입력하여 자료1라는 리스트를 만든다.\n", "\n", " \n", "\n", "04. 입력창에\n", "\n", " **자료2={6,7,7,6,8,7,7,7,7,8}**\n", "\n", " 입력하여 자료2라는 리스트를 만든다.\n", "\n", " \n", "\n", "05. 대수창과 기하창 경계에 마우스를 위치시켰을때 마우스 커서가 좌우화살표로 변한다.\n", "\n", " 이때 왼쪽 마우스를 누른상태로 대수창을 넓혀서 자료1과 자료2의 내용이\n", "\n", " 다 보이도록 창의 너비를 조절한다.\n", "\n", " \n", "\n", "06. 입력창에\n", "\n", " **자료1개수=세기조건[x==x,자료1]**\n", "\n", " 입력하여 자료1개수라는 수를 만든다.\n", "\n", " \n", "\n", "07. 입력창에\n", "\n", " **자료2개수=세기조건[x==x,자료2]**\n", "\n", " 입력하여 자료2개수라는 수를 만든다.\n", "\n", " \n", "\n", "08. 입력창에\n", "\n", " **자료1합=합[자료1]**\n", "\n", " 입력하여 자료1합이라는 수를 만든다.\n", "\n", " \n", "\n", "09. 입력창에\n", "\n", " **자료2합=합[자료2]**\n", "\n", " 입력하여 자료2합이라는 수를 만든다.\n", "\n", " \n", "\n", "10. 입력창에\n", "\n", " **자료1평균=자료1합/자료1개수**\n", "\n", " 입력하여 자료1평균이라는 수를 만든다.\n", "\n", " \n", "\n", "11. 입력창에\n", "\n", " **자료2평균=자료2합/자료2개수**\n", "\n", " 입력하여 자료2평균이라는 수를 만든다.\n", "\n", " \n", "\n", "12. 입력창에\n", "\n", " **자료1편차=수열[원소[자료1,t]-자료1평균,t,1,자료1개수]**\n", "\n", " 입력하여 자료1편차라는 리스트를 만든다.\n", "\n", " \n", "\n", "13. 입력창에\n", "\n", " **자료2편차=수열[원소[자료2,t]-자료2평균,t,1,자료2개수]**\n", "\n", " 입력하여 자료2편차라는 리스트를 만든다.\n", "\n", " \n", "\n", "14. 입력창에\n", "\n", " **자료1편차합=합[자료1편차]**\n", "\n", " 입력하여 자료1편차합이라는 수를 만든다.\n", "\n", " \n", "\n", "15. 입력창에\n", "\n", " **자료2편차합=합[자료2편차]**\n", "\n", " 입력하여 자료2편차합이라는 수를 만든다.\n", "\n", " \n", "\n", "자료1편차합과 자료2편차합이 0의 값을 가지는 이유를 생각해봅니다.\n", "\n", "항상 0이므로 산포도로 사용할 수 없음을 생각합니다.\n", "\n", " \n", "\n", "16. 입력창에\n", "\n", " **자료1편차제곱=수열[(원소[자료1,t]-자료1평균)^2,t,1,자료1개수]**\n", "\n", " 입력하여 자료1편차제곱이라는 리스트를 만든다.\n", "\n", " \n", "\n", "17. 입력창에\n", "\n", " **자료2편차제곱=수열[(원소[자료2,t]-자료2평균)^2,t,1,자료2개수]**\n", "\n", " 입력하여 자료2편차제곱이라는 리스트를 만든다.\n", "\n", " \n", "\n", "18. 입력창에\n", "\n", " **자료1편차제곱합=합[자료1편차제곱]**\n", "\n", " 입력하여 자료1편차제곱합이라는 수를 만든다.\n", "\n", " \n", "\n", "19. 입력창에\n", "\n", " **자료2편차제곱합=합[자료2편차제곱]**\n", "\n", " 입력하여 자료2편차제곱합이라는 수를 만든다.\n", "\n", " \n", "\n", "20. 입력창에\n", "\n", " **자료1의분산=자료1편차제곱합/자료1개수**\n", "\n", " 입력하여 자료1의분산이라는 수를 만든다.\n", "\n", " \n", "\n", "21. 입력창에\n", "\n", " **자료2의분산=자료2편차제곱합/자료2개수**\n", "\n", " 입력하여 자료2의분산이라는 수를 만든다.\n", "\n", " \n", "\n", "22. 입력창에\n", "\n", " **자료1의표준편차=자료1의분산^0.5**\n", "\n", " 입력하여 자료1의표준편차라는 수를 만든다.\n", "\n", " \n", "\n", "23. 입력창에\n", "\n", " **자료2의표준편차=자료2의분산^0.5**\n", "\n", " 입력하여 자료2의표준편차라는 수를 만든다.\n", "\n", " \n", "\n", "24. Geogebra 상단에 파일, 편집, 보기, 선택사항, 도구, 원도우, 도움말에서\n", "\n", " **선택사항 --> 반올림 --> 15 소수점 아래 자리 선택**\n", "\n", " 소수점15자리까지 보였지만, 분산의 값은 근사값일 뿐입니다.\n", "\n", " Geogebra에는 심볼릭계산이 가능한 기능이 있습니다.\n", "\n", " 심볼릭계산으로 정확한 값을 볼 수 있습니다.\n", "\n", " \n", "\n", "25. Geogebra 상단에 파일, 편집, 보기, 선택사항, 도구, 원도우, 도움말에\n", "\n", " **보기 --> CAS 선택 하여 CAS 창을 보이게 합니다.**\n", "\n", " \n", "\n", "26. Cas 창의 1이란 수 옆의 빈칸에\n", "\n", " **표준편차[자료1]**\n", "\n", " 입력하여 계산결과 확인합니다.\n", "\n", " \n", "\n", "27. Cas 창에\n", "\n", " **표준편차[자료2]**\n", "\n", " 입력하여 계산결과 확인합니다.\n", "\n", " \n", "\n", "28. 입력창에\n", "\n", " **Geogebra분산함수자료1=분산[자료1]**\n", "\n", " 입력하여 자료2의표준편차라는 수를 만든다.\n", "\n", " \n", "\n", " \n", "\n", "29. 입력창에\n", "\n", " **Geogebra분산함수자료2=분산[자료2]**\n", "\n", " 입력하여 자료2의표준편차라는 수를 만든다.\n", "\n", " \n", "\n", "30. 입력창에\n", "\n", " **Geogebra표준편차함수자료1=표준편차[자료1]**\n", "\n", " 입력하여 자료2의표준편차라는 수를 만든다.\n", "\n", " \n", "31. 입력창에\n", "\n", " **Geogebra표준편차함수자료2=표준편차[자료2]**\n", "\n", " 입력하여 자료2의표준편차라는 수를 만든다.\n", "\n", " \n", "\n", "32. Goegebra에도 분산과 표준편차 함수가 있다. 하지만, 과정이 중요하므로 위와 같이 작성함.\n", "\n", " " ] } ] }