From 092de7837c48c97c5a72d4404aae4778ef2ad27f Mon Sep 17 00:00:00 2001 From: Valeriya Tolmacheva Date: Wed, 22 Nov 2023 22:16:36 +0000 Subject: [PATCH] Lab Done --- your-code/main.ipynb | 192 +++++++++++++++++++++++++++++++++++++++---- 1 file changed, 174 insertions(+), 18 deletions(-) diff --git a/your-code/main.ipynb b/your-code/main.ipynb index 332f496..638768f 100644 --- a/your-code/main.ipynb +++ b/your-code/main.ipynb @@ -9,11 +9,14 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 35, "metadata": {}, "outputs": [], "source": [ - "# Libraries" + "import numpy as np\n", + "import scipy.stats as st\n", + "import statsmodels.api as sm\n", + "import math" ] }, { @@ -32,11 +35,36 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 36, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(168.5032387960064, 178.43009453732694)" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# your code here" + "#std of population is known, so we use normal distribution\n", + "\n", + "heights = [167, 167, 168, 168, 168, 169, 171, 172, 173, 175, 175, 175, 177, 182, 195]\n", + "#number of observations\n", + "n=len(heights)\n", + "\n", + "#mean\n", + "mean=sum(heights)/n\n", + "\n", + "#sample std based off known population std\n", + "std=4\n", + "s=std/np.sqrt(n)\n", + "\n", + "#interval:\n", + "st.norm.interval(0.8,loc=mean,scale=std/s)\n" ] }, { @@ -49,13 +77,66 @@ "**Hint**: function `stats.norm.interval` from `scipy` can help you get through this exercise. " ] }, + { + "attachments": { + "image.png": { + "image/png": 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dsytr8z72+j9w33oX/bW5vyVl407qikM/gKSUVlLt32P13GTkdsiPJtzoZX1gsLC4nsYw62mkFNfTWDnXQ6YH8wVdYICgvibMyIcM1LXb/KaLTTBwZe71nOJPy9n3vPqp2oCg1ixB5+/+3QBdfqN7UjbupDrMgs1pG2vZ5XdOjvevTAc9FkVODXvDrZGSVc6WgA0VrIw4Qn80NgufD1AU0HCkKeKDfdbGSvwvL+x0xOBpiAoNmodDPyynZIQIavl7oIgS/5+dd6KaXhXZ73FEqhNWKGJbOH7eFqe+jObexmRFmKDWtFQeLPI/USeOO4n56oj1VXENu9T++cyC8aMo5tdFlT6Lc68Ka54MCGoFHPOrT7LLPzg4psd4I/AzbtMV+vxjuMW1fGNdmOtKLaLuqXK/AI+HPt2lqMpXbnkjx55amqBWMvUzssobeesNLb0dp3nrewlav1QIIYQQ4h4Wc2DLPRHUffWtjREXhwmD/4N81hbUEXfcUlL210V+P09w6WN72E97KdiyMdKIjWxyA77TE//aRlHx8Mn1wACCZuP6iGmaX1o2x8iT65gv+z+lqPjyrLWp/OQUBAQBHNabATtSzZaAtHRa+K3/PU/X8FikcwzBZjEGBFkrHg4xusfvnB78C78fx64vWuASQPXXqghv+hXk5ucF/irsOjixWOh8AIXbwj9QT8v4EmX+04gGDRhdIT4XNA0xq7wscSMmrXZijxUqyb3fP72stL94nAFrqJNfRItSX0Z5bxfYrQStLRS5bkilRKUK+I3ecn3OY0aVPotyr5RoSiMsB7Aim5K/9A+qT2C+HpiuQ6aAVytUbYo8pTbloTIq/F9CDFr4eK516BRqdu2IPMVzQX2u+xlCCCGEEPe2ee2KmHBOJ2b/n9fmkTvHn6Rl55GFZfph1XZ9mHGyI3TG88id4yEkJaA3OsyIE6KYdxCnO4wGPGPkUbJmjhESWdmUEGFXRKc9cEHjgjU8uDLchwGU5BYAU/E13w5W4ddMSUBaOoIWyH24KGCR8bk5GQm8SPLzIwfGsrL9L3KYkU8hAcMNo5IzxxopKSsCz/2WwwnEOf1kwfOBEo0qmvX1MlBvUsPg1MNz6OmIgdMQU6nYEHmqqNtuxTz4IeZBE+bfe0fYjN52MprABagLy7dRqOv27VAG3DbS/oKRM9mlfGN7DRWP5JG22KMpFqW+jPbexsjjYuT6h5iNFswmq/d87t7B5lrIVcNTyfzTyHVDyv33U4JhJl3tTkZJQN5flHuVzeo5lo/LfaAI/FZtMgfUL04cAfGaPPLvn+Mlw4pscvMB09QvTNhugSpSkVWtpyRBg//m5XPdzxBCCCGEuLfFHtgKHuPl2+kqnrewo/abAT/n/79RPNBnKMmFmQfh8XHcEKHDeT+5y3KZCicjAQO2VnHfXJ1/ZTY5RAhsuZyBa3BZteys00Z/SnM+Y8aflqOfBt7zrPRYx/25GA0YgmOl/dl62qP+ew/uRXtTXjDnw86CWPB8UETuF6M7VErpeqoUhunpToZLHzL+qGamvAZPQ8zZhibMQ/L4DR1njndGt5NmvHK28lyDkx+9Frj73bjdxJkTJs68nopqYy11NRryF2kzgsWpL6O/t1GZdGL+38c56r9Q+6KJYhfH1FWBQayxCT4jUmAruvRZnHulJDPSFG6AtFSyAo7p324Ht0HR7HqZSmbApUzw2Rwjtkry85ZutBaf936GEEIIIcS9LebAVuYX7mdmSAfTb7YT+dy+OnVxFmBenqJ4SJnLXc88pl0tsqCgUu6fxhoVcPPZ2Nyf+lxb8HwQw5pSK0tRb1DQd9EXHQreHTFoGmLhV0pD1inuQS0HZm2eoCBTmU1JsXdXOlhFbjFcerk7cO26ecrcsIdXi8oZePM4py4HrTHomcB44TTGC1pKqht5bnvRoo/gWpj6MoHrhU06GfiHJtqvBQUiV2aQn1/k2xkP7vvCGjJHumm7kJjphzFJzwgMYjnmWpNtfumzZG1bcIDGt+Zc6EBTGvdFHNk5P4uz/lz0Pt/9DCGEEEKIe0vsI7aUSkpgZkj/sAXbWCVZ8QRjgkaBjfzBRdzTsJLWuPfNdzwPFn/sfWCZfgBfmUF+Rizvyhd/vsjtidhH36Qo8BtVpCA3a1VMe9Ktvtefa5ZVPlBQsqmcrIv9vofrwOmIgdMQi6jaGGKal8tAe5t/UMu7w9pzu9S+gJY/C58k8OxJz6OioY2K+mGMA910/cLEUMAIFQ/mnlYOfNbEK99c4HWEkqy+tHW1BAa1Vhaxt2kfVQWzg9mj5weAJQhs3bZzy//nrFXxrx0Jy+deOe2B0/CUgdcXWJc6GR0D4n3Bstwsl3shhBBCCCESLvbAVtYaStLBPD26woRxcAK1ev4PwcGjwBxjUUxWCZ5mlZa2pNMc5i9oXaOph4pIga0xV+RFvZVBa3DlbeOHh8ojTKtZfJnZgffc9p9OIJY1fZRk5fkfIo8dzzejWaQ1s5LCcssHBeupSO+nw1d3GH59hdFHy8kMnoZYrEYVYgDf+EeX0Afs3FbPkafUiQlARCsjD1VNI6rtHhymbk79RIdxbOakRnTH6VG/xo6Ii1LHJ7nqSyvG9/0X20+l7ntNVEVePi3h5zDiIHIMw+MJHImXnsp9CfjmxblXNxlxQmEs15eW6nfM4Lr0Dp9NMEdgayJobcjUBRnllUjJVW6EEEIIIUQsYt4VEQpQbQwMYg28q2Mknl3csrMJ2JPq2nDQVKPZRm3XA6ZZZeUoF/cBN2FWBa1VYsVmm2P0kuPmzGLWoSizCVhH3WbHkZBd9hJo1arAxeKjuOeBlOQGXOQwn8y90dvny3LLBysKUH/NL7NbjZhdwI3AaYjhdmQbsZoCfo64e+hcwd94rVCQta6W5n9+kcZS//owuh0H45JM9aXzJkP+U4bTNagiBP1G/7AwaTfX7orj1y2BI5ruz05MAHhR7tWwN3AXgc1yJeBnVcBmFrPrUtvNOdqgyZt8bPH/xZqlWUcwFslUboQQQgghREzmEdiC/E3bKPT/xa1uWn9mCXwjHIvVpaj93+A7zmG4FukP7Fz6tf9qt6lUrFvUIQAJpODBNYHnPmA0RUxLxzXTHGsnraFkg9+DikeP3jgR/uNL4YtFlPmPCJjzns+WX+S/rbqHc3rj/PNgMhq2J10+yH2k3K/usGD8aIKRQePMdSjUqEujmyOamR5+lKjb8mFC1tea04psNLVbAoK0tjt3FvY7k7m+XB1hit+knY9NC5M/jVctEdbMcmG8GBQ0Lbg/MV+8KPfKg8FkDf/Pk1aM7/unayqF+YHDuwrXaQJGIvVduBRxjTH37/ScCxg9qaJkAacu3vrUNfeH5pLM5UYIIYQQQkQ0r8AW2eXs3hw4V2hE18aBdh22uRb0nvQwOmwP6jQrKSsv9etYT9BxQstQmGccx/mf8ob/gig5WwI7rEkm8+GygDfJbsNbdAyGu3gdp7rnGtXgW89o+mcPfW//FEM0K4m7XIsTHFoRPPLPe8/NEfKP2zHMiN+/pzxcwQ6/hym34S1OXYxifZ5JF+PLLM4XnVVk+Y+K8FjmGKW2DPNBdimanJkfDbYr2D6auWcpG9ZTGGZKU9qqwIdxw2CYh/kxEx1vGxJw/h5GHVE8UI+PB9Rn+atWxf3NkSVRfZm+KnATgGETQ2GSdNZ5JtJgJ+9cDZ1A44Z/pX3Q/zellJUman25xblXjv5/pS9MXTBy9qfT038B76i54GM+VMYO/2ncg1razoepSycsdGj9y5eCqk0RRk/OQ1pGYFk3W68noDwnS7nxMNLfxs5d9Wyt28POl/oZScr2SgghhBBi8cwvsIWCwpp9VAesZ+TBdlnLM/v2cODl0/ScN2C+avL+Z9DRoz3J0cYGanfuYefzwbuaQZq6nr1r/UZq3NZx4OlDdL1vxTE2wfjYBA6rnp6XGtmvtfp1cjOorisnd5ntuBQTpYbqjf6jVFz0tH6fo90GRpzeax93DmPuO84zTVqM0ayzvnYbjeV+wcfbRo42NdI2dcy7gMd77NFhC8bznbQd2MPW/e9iS/DlhZP/+E40/pd9W8fBZw9x5ryBoWEn42NORiym6XOraXwrcMHuFQVU7y8nd/oXLgZea+KZl7oxDjsZH/PApGc6/YYMOjpebqJ2ZwPvLNZFJpSS3DX+CWbnjZdOox92eq9xzMmIRc+Q/8PYsssH2Ty2pWj6J7epl7PToyZS2bFJFXYNm9yC0oB/c/T/E6cMdtxT0ys9LkYMnRx8to2e24k41zsYTzZQs6+Jtrd1mIed3vSaMulh1Kqj/US/38i5VMoeimWtuPlJmvpyZR75AcEAC+3He7G5Zioxt91CX3sj+9+2LmBQfYKelxs4eNp3H8cmGLdb0b99iCdPBAZBc6u2oU7g6KPFuVdWTj3fSFu3Hpt9qjyb6Gtv5Nke/4iXAs0TgSMMAW9d+pR/XerBqG3imfb+mfRyDmM+f5qDT7cGlK+UtbVUqxK74UhK7v0Bo8LdF0/S1m2ZTq9xuxXjZescO1fOlhTl5raeN942MeoB8DBq6uSNaF7YCCGEEEJ8jsW+ePyU1CJ2H2kkpfk4XU7/SIuHoat6hq7qYzveCiUVjY2MNPl1mu8O0/F6Cx1h/0iBqr6Z3cWLv4tfYikoqW+k2uL/wODC0HMSQ8/sT+eWV/Lly/30RBwdl0rh3zXTMNI0syOZx4m+5yT6EMdcEhlqGhqvY2v1C3TeHaZHe5JoTzGluJ7m+pt+DyEebKZeWky9C3HGS0xB4UYNWRd104EUt1NP2/OBZa26SUPh9Kio5ZcP0krVqLF4pwo6nDMBtFAjSfw9VM6uHB2npgN3LvpONNF3YvZHU9bW0rhWx9He+B8I3WN29P1a9P1zfzaldCdVC7hw/LSkqS+VaCrVnGqfCR65r3XzzP7uEJ/NoHr/NsZPaBlI6DlkU5jnZGjYg/mCFvOFCB9dXU7DtgQPy1noe5WeR6FimKHbTvQ9p9H3nA770ZS1tdSpQ+zMQJi69HInBy93hv/u1eUcbiwnK9EBn2wVFQWdDE0PyvRg6GkNbA8L6nlrQ0FsI8WSodzY7TMbfvgY7U5kB0chhBBCiPDmOWLLJ72Uuh+3criygMzolsWJLLWI3UdeZG9xFAdTKKl46kWaN98jnb3UInY/v48KZaRrV5D/6NMc/rsaSoqjOOYKJRU/eJnDlXnRd/5XJuJGRi+luJ5jP9hKSZQ7aqWEeIDK2tzMT75XGfUxQMF9i3uZCZNSXEPjZmVsO3Mtt3yQUUaFevav87+mIT/SA/KKbKqe3UfFHDtfphXX8kpjJep1KhZvPWsF+Rv2ceI7i7hLY5LUlykbdnKsKi9ynlUoqW44zG51GarSRJ/BGuqamudMpxRlOYeP1FO4EPGLhbxXq8tofOFpqiO2HZBWXM+JH0QOQmVtbuYn+zWBm06EO94DWzm2UOmFkop99agXYqfF5V5u8tagCfpV4GL/QgghhBAi2PxHbE1ZoaTkiWbe2uHEZjDwnvEK5k/sAVNNWJlBfsYqcotKKXl4Paq/yAu/41R6HlVNp3nsloH33tUzYLk+c6yVGeR/8X5UX6mkYlMRWUkanAgrS03Dj4uo+s05zg5cwnjD5Z1qsTKDkqIyKrZvQ/OA9yniodJSMJgiHg6AFRmUPPEinY8PY9Tr0F+xYL7l9E1zAFCQm7WKnHw1Kk0ZmoeyF30787SiGg6fqmDkAz3nLugx25yMTE35UqSSv/p+HtJo2KJRkxt6sAGZpbUcPrWFkQ/0DBiuYL5uxzY2kwfTMpRk/XkBj6k0qB8tImuZb00fXiqF9W38ZJ2Os7396K9P3UsFmcpsSlQaHssN8WfLKh8oKNmgJsXgPwUsm4pHopjCl6Wm4ZUCNGe1dP3mOkPOCe8xVmaQn19ExddrqChVegOgD5SiVvTTE83U3ZCUVBxqp9B0hd8ajLxn+z0Oh2tm+tNU3tygQqPRUOY78wQAACAASURBVLgUFVJS1Jep5Ne+yFt/qeedzl5+O12+p/JsOdsf15DvK9uFpQUQaTH0mP0ex11vOpUNesvN9DkoUsnPWcNjW2qpeCSbtIWcarZQ92rYyejqSnb/uJ2KD87Rdc4wU7ZXZpCf/yWqtm6loji64Eimeg+vPrKVoV/p6Pt3o189oSBTuYrCAg0Vj2tQ5YWpjBMlq5znXinC+MtOei5YMPunVX4RFV8tnX8QeTmXm3Q1dd/+EMebBobuKihUP8ner0pgSwghhBAikj/6w6eu/17qkxBCCCESZejNeg7opn4qoOGVZirumdiAk4EXGmmfjv2Vc6yjPnCnYiGEEEIIIT5H4puKKIQQQgghhBBCCCHEEpHAlhBCCCGEEEIIIYRIShLYEkIIIYQQQgghhBBJSQJbQgghhBBCCCGEECIpSWBLCCGEEEIIIYQQQiQlCWwJIYQQQgghhBBCiKQkgS0hhBBCCCGEEEIIkZT+6A+fuv57qU9CCCGEEEIIIYQQQohYyYgtIYQQQgghhBBCCJGUJLAlhBBCCCGEEEIIIZKSBLaEEEIIIYQQQgghRFKSwJYQQgghhBBCCCGESEoS2BJCCCGEEEIIIYQQSUkCW0IIIYQQQgghhBAiKUlgSwghhBBCCCGEEEIkJQlsCSGEEEIIIYQQQoikJIEtIYQQQgghhBBCCJGUJLAlhBBCCCGEEEIIIZLSn8Ty4U8//Y+FOg8hhBBCCCGEEEIIIWLyR3/41PXfS30SQgghhBBCCCGEEELESqYiCiGEEEIIIYQQQoikJIEtIYQQQgghhBBCCJGUJLAlhBBCCCGEEEIIIZKSBLaEEEIIIYQQQgghRFKSwJYQQgghhBBCCCGESEoS2BJCCCGEEEIIIYQQSUkCW0IIIYQQQgghhBAiKUlgSwghhBBCCCGEEEIkJQlsCSGEEEIIIYQQQoikJIEtIYQQQgghhBBCCJGUJLAlhBBCCCGEEEIIIZKSBLaEEEIIIYQQQgghRFKSwJYQQgghhBBCCCGESEoS2BJCCCGEEEIIIYQQSUkCW0IIIYQQQgghhBAiKUlgSwghhBBCCCGEEEIkJQlsCSGEEEIIIYQQQoikJIEtIYQQQgghhBBCCJGUJLAlhBBCCCGEEEIIIZKSBLaEEEIIIYQQQgghRFKSwJYQQgghhBBCCCGESEoS2BJCCCGEEEIIIYQQSUkCW0IIIYQQQgghhBAiKUlgSwghhBBCCCGEEEIkJQlsCSGEEEIIIYQQQoikJIEtIYQQQgghhBBCCJGUJLAlhBBCCCGEEEIIIZLS5zawNfRmPVvr6tn6pmWpT0UsErnnn2ODWu+9r9MytNTnIuIyerWbtkMN1NZ5y3Pt/kaOvmbAgYehtxupqdtDu8E17+NLPRGtxKS3mEMC6q7xG3rO/EMjO3d583bNvkYOvtzL0ERCz1QkBScDL3jzQct555KcweiFVmrr9vBMt3VJvl/cO5I7LyVRG+rUc/TJemqe7cY2udQnswicOlrq6tla18LA0lSTYp7+JPY/cTLwQiPtUdYh1U1adhfH/i1CCCGEP8f5FvZrrbgBFKnkp3qwuZz8FgWNXGdA58QNDFz7PQ3qjCU+23vddYyS3suee1DLgVYdIwAoyFUqcDidmP9TQWbqEp+c+BxyYb5oYRywDd5ktKaAzKU+JZGkkj0vJU8bOmrSY7gL3LXwyW3IVy71GQkR2jwCW0IIIcQic+k5o7XiRoHqiRdprsz2/n7Sw/h/KUjBg6pcSY8OthT/+dKe6+fCGknv5W7SSs8Jb1Art7yRY39XStoKvGXGoyBtqc9PfA5lULKxiLRr13lw/ZokC0SI5SXZ81LytKGZpRrUK62Yv7iewtVLfTZChBdXYEtV30bzZgnbCiGEWFjjHxkxAGRtY9dUUAtghcL7sI6Cwifa6H5iac7v82cx0tuFvrWBti800fvNooX8onvTjSsMjAGo2fU3vqAW+JUZIRLsWiffevE6O15ppiLM40HmpiY6Ny3uaYkkdM/npSTqsyg1PPdTzVKfhRBz+tyusSWEECJ5fDZ2x/s/a/PIXdpTEYvF9SGXBpf6JJLY+AQOgLz7yV251CcjPg9sRr03zwkRJ8lLQohYSWBLCCHEsjfqGPb+T4piaU9ELJpxk8E7Sk/My6jj997/UShIWdpTEZ8Hk1aMF2VHApEAkpeEEPOwNGtsTToZ+lUvZ3/5IWaHi3GAlRmUFJWh2VxORXGYMadOHS3PajEW1PPWC+Vk4t0h60yXDsOtCdwoUO95mec2JWABvkkPjo/1DJzXY/zEjs3lASAlXcmXizVU7dhKSajTHNSytVUH5b6pE5MT2H7TyTvvXMLg8gAK6g6dZsda/+sy0dfVz8DgdWxjnggnVUBDqCG5Y3aMv+yk54IFs+87MpXZlPxVDbu3l5IZ65SD+VyDaxij/hwDeitDt52MegAU5D5QhLqihu1/lRdy6sPQm/Uc0M1sMjB+Q8/ZszoMlmFG7uJdIDpnDY9tqaXikezI0yecJnp+1s2A/9+uKaXi6zVUrYtyymy8eTOvlp8cqSTLaWGgt5c+49Q9VZCbtYYvb6vlG1NpMTmB7TfvcnbgEsYb3u9KSVfyZVUl27eWUzifWb5TeeE31xlyTswssr36fh7aoEKj0VCYFSIwMK/7N7WRRB4NbS9S8We+tOu/wm99352WoaRk3Va+sUNDfrr3r0Le4zXrqdq6NXT6Bpf7kPl9DZrKrWz/alHs+d3P6KCOs7396K/70mBlBvn5X2J7bS2aB8KvtDz1d7+1Ob3X5Lv2Bx8sQq0u57FHQuf/sOZb/0TJ7TAx0N3PgOV6wLEL16jQfH0LFUUh6tBE1duTTsx93fRdMAXlkxD5ftLFiOkK+vd09F31/U7XylbdzEdmpsTPbGwScZp8AuqJ8VsGBrrOBR4jZw2Pba+nOswxElrXTbqw/eYcZweMmG/5ldesNZRoNFSXq8kKzq6T0ZXP6EVK76l/m2mzRq/20vULPZeCylaocu+2G+g5/RZd13wPNkH3HMo51lFPYdAZJeK+MDaMvquTLoPFe4yVlfyofpgfvm6B9Epe/eda8iPdG3s/Bw50MkQ2e4+1UjU1a3aBy/S0SQ+OG5cw/lJPl9G3y49Vy8467cxnykNM7Vwu/bKFSKcEtyFT+ey96/bp9j1TuYayTRq2bFKTG6YsBee1UO1NSZGG6h1bUOWEam+irOOA0fMt7NRawe++RG3SxcgHes5d0PPxyJ3pfmlaRh6qsnK2bw2qLyZdDP3iXzlz1sDQXQAr7c/W0+73Ef/znUqHkPlw+phL0N5EJahuWz3ByAfn6Dqnj74fN98yk6g0WSb5P1Rde+zUFkh4Xpq6R4aZ9nKq3d+0jcfCtrfxtWNzm7s8J75vOfu5Iyz/NJ16LvRre8ffb6U23nYR5tc3WfByHmRsGH1vNwOXoigz1zr51ov9OCii8UQTmkhN310jp/Ydp88DVQ2n2btBXtzGa9EDW+5r3bS81Iv5btA/3HVhvtqP+Wo/Pap9NDeoyQpXSMYm+IwJHG9+nwM6/y1SPWQpE7GrxDA93z3EGb8tPtMylGT91x1sY04Mhm4MhgGqm/6R3cVhHnbHJ3BPOtH/QxPt1/yDVXlk+i2859C18syb3l090jLy0GxaQ6brOr+d6pgDKekFVKjvJ21VESVBBdx9rZODrf0MBcTDPIw6h9H3tKH/RRGNR5rQZM0jGaK8hvHLx9nZbvQGUcDbYGQpcDhcjNwwMfK6iR59PSd+UB72nt6yD2P76Kcc6BueOQ6AZwLbDRO2Eybe0dfz6vdCH8M/HQP+1mLglMXAuY1P05CbBwyHvdyE5M1hOzaTlqOv6rAF3ZMRh4WR1w8xcKmeV/dnM9DcRpczMJDpHnNiuKDFcPESDa3NVMRw39yDWg60BX8v3nRwWLD1Wui76uEnrZX4Hzb++zfMyHUTHa3HZ13PuMuJ4cJpDAYDjUeeJuuXhzh43jn7Hlv0tFsuYahvDd9ZH7bjcOh47Xmtd3eWmQMw6rTQo7XQ83M1zS/sQxXr4paTTgztLRw1Bm25fNeFzaKn7dAlzm5u5Fh9UeDIh0kn+peaaBucHZAedzkxX9VjvnqJW4rX2KuKtsFKQP0T1gS2zqOzyxnevGe+2o8ja/2swFZCyobVzojDQMeRkwzcDvwnbz7RYrjYz47GF6mbui7rAG1ve8fsrF4J43fxdiQzZu5C5srox6LEX0+ESb+peurlRt4pDl9PQfx1HQ4D7SHScLqO6YJCjTqgjIf7m+nyebE3MN0TxsqI3Ynh7fBlq91yib6gsmW72M2lO2lkrZzwPfAE3nMIPs/474tn3AMOPS1NWoz+xTlHyf0P348GC/oxPUZrLflrQx8DwKZ/lyGA4koem+68L2SZDuK6RNfJXj4BMlcqGPV4fC83/JaKTw0sM8unX7bA6RRvGzLpxPAvrbRdDmrDfH/f12Wh7+w56pqeY8fa8Od361M7Q1fbZreFd12Yr/ZivtqPqqaZpuq8xR9pN2Gkff9xBqbLgIJMpZL7xpyMuIbR959Gr9MH9k9cHzLwayvu9FRS7noDM5nKVWT6zQmJpZ5esvYmJsM4HE70p2e3/9P9uAvvUtVwmL0bwuT/GMpMovqnyyH/R6prs1wf0pHAvITDQHvrTxkI6pv6t/tv/LySY8/Xkh/2lOfXjsVlIfqWExY6nvc9dyhSyS9So8qBkd/NBINAQeG6Mkr+LIOsDZEXtE97WBNnu0j8fZMFL+fgtvXS8lp3YF71KzPn+jU0HdozU2bWaqjO6efULQt9F+1oAqJ4QccevOKtaxVq1KUS1EqExQ1sOXS0tvZi9kCuqp7GXRryM3w3ctKDw9RN+7/0YzaepOVnGbzyzTAVhMPJ0Pkfc0o3QeHmfTRUqshVKnBPTMD/SMSJ5qEuz8P4qYYd5espzMkgZaqhGBum79UWTl1z0dOhpyooSDDNeRP9z96i/VoqFbX72LFpDVmpCtxjEzN9cqeOU29aGCdjVuO3e9KF8ScHabnowp2xnur6EN/j0NHa2s+QR0Hh5qdprC1lejCOy0rfyaOcGrTQdkRL1rF6CmNdYyOaawDSSsvYku1h9ePbUD9SQJbf94waTnLwhIGRa530/E4TtgI2drZg9kBhZSMN/6t05hiTLmz/3z9xoNvK+GAnXR+U0aAOrJzcFi0tb1oYR0H+o0/y3C71TDp4nAyd76S98zgHFREqjUTlTfQcfQnSirdybNe2mdFRk07Mbx+n5fww44OdPPMsjN9NpaL+79n91YLpNy5uh4E3jpyk77aV9jf0lDVpotu5yrf7lc2jQFXzHA1VBWT6Xa7bOYzZcI4hZdmsfJSI+9fzWhusLGJ30x62PKScLi+jV7UcbdcxdNdC+/MNcNdDlqqexl3l5E9ld48T4+kWWi66MGpPo98Q5g2HR8+PnvfgySrn8P5aSrL97s/H73Lm1V4Mtw20HPtzThzZSm7Ub7EmGPqZr8OyWkXD0zupKMiYOfYHWo6+rsd2vo3W7Faay2cCb+O/Oe3teKxW09z0JKpsv/TxTOC4dokBvYeyh2NpsBJQ/4ThOP9j38O/gpLKJ9n7uIpcXz53j9m59TsjjvyCoD9KXNloadLBKhUNL+xE88DMdc3keyddr59Dc7zGu47W2hpebasB/N7MbtzHq/NYSDwR9cR0+iny2NHwNDtKZ/L6uLWf462dGAa1tLydzSthOrjx1HVMWDjj68ClKFXs2lNDxUPZ3nPwTDBqv47xugJVRui/yQ1V9t5opfV9J11tPyb3WDOaBO8Hc+7VJnpYRUV9M3Wb/Oolv3JvO3+Sc19pp/oB7z8V7mjj1R3R3/NE3BfHiJ4zb2sxpqvY+1QNj63NJu2PPYz/X0hLhYqNCvQXJ+i6YKR6rSp0Hp+0YnzfO8pMXfYlv7p74cr0LKs1NLR5F/mdHrWTV8MPw43aWVb9sgVOp7jaEF87cdkFijx2NOxjR2n2TB3msqLXnuTU5WE6Wn9MZoQXU+b/fQjz3VQ0wWXCNYz+neO0v+/E2N3CG19sZ++GRAeb55BaikadjXt1JdvLysj3b9OcBk696O2fnDprRPNtXzmYynNToyjIo+4H4Rf8jmgp25uYeOh7tYnxyWx2fCcoLzgsnHujjTODLvraj5Lz561U5YS61ijLTKLSZJnk/8h1rSJxecm/vcwrpznomkdv6Ok40cnAcD8H2pQRX77Ppx2LR+L7lh6Gurwvn1PW1vBK41Zyp6qWenDf6KW1xRu8efDReuqiCZalq+JrFxPSN1nocj7MG69ZITuozADjVh1njmsZcOppOab0KzPZPLaliFOvWxj6tZGRqq1hvteD+bIBN5Ci0VAi62AmxCKuseXCoO3E6IGU0n0ce6Z8pmIGWKEga10th4/UogJGdG28YZwdqfbS064dpqS+lWP1anKV3uOkpKbOdILilFX1Iof3lFOSlxF4zPQ8qr7tPUduXcHsDHMAay/tOqhu+kcaqorISvWdY/rMOY78ph8jgOpv2RX8RmdFBqpv7qQK4JYO463gL5hJz9zyRg7X+wW1ADIKqPrec9StBm7rOPMre+yJEMU1ALBSxe5jjVQ/GhgUAchU76OhXAF46Bu8Hv67PB5Knmjl8BOlgcdYkUF+9XdpUnuPMXDVEvSmyM6A1rudeYp6H8eeUgemg0JJYdXTND9RgNsTLj8lMm8Cqys58r2awCl/K5SUPLGPXTkAHsbvguqbzTRsLggYRpySpWbvfl+HfdCIeSz81wS4fZOhMQANO6oDg1oAKco8VFv3UacOETFKxP0jg7qmJqqLlQF5I3NdPQ3bvG8r3Hc9sLaew8/4NV4ACiWqb/09dekAFowfhVtXwcN4ajmHn68PaFxYoSCruIbnjkyVy3fp+SCGtRms79Kuc4GigIbnn54Jak0dW72HI3tKScGD8e3ugDemIzYLAKrHawI7HgCKVLKKy6nbXxl5iHYIcdc/obj0nNFacaNAVd/K4SfU00EtgJT0bPIf3Yo6oAOeyLLhwb1SQ/MRbxqnBOf7AzXeqWW3DZhn1XfxSkA94TLQ0WnFTQbVjc9Rty4wr6cVVPJcUyW5wMh5LQPhqtx513VgO3ucntvA6nIOH3maquKZBwsUqWTmlVJRXhQQDLe9e5Ke25Cytp7mhhBl76lmGksV4LHS/m/GWd8ZL7dHQfUzL9KwOaheUihRfes59uYAuHjPNI82ChJ2X4w9Wnoo51irN13TFHh3D0xVAApKNmpIAdyXr/imyIRg9e1CqFBT9UhgXbsgZTpuy69ftrDpFEcbMtVOkEHd8y9Sty47sA7LKKCi4UWaH031lqVX+sMufO2+CyX1zbPLREYemqd8x8BD39vnGJnPZcZFQclTrTTWaAKDWgBKNXufKveWg4sWbAn/7uRqb8bvpvrqnKC8kFVE9fdaaSgAsPNGtyHMlK9oykxi02Q55P/IdW3iTLV9rK7kWMvsa84sKKfhyNNUp4P7mpa2X4Rvgxa8HQuS8L7lXRN63QSgpK7OL6jlk/LAVnZtUwIe+i6bouwHxNcuJqZvstDl3Hf84DIDpBWU0/DiPjQKZpUZ72g2wHEOw7Uwhx4zojcApLJDLbs+J0pcgS2jtpGtdfXh/3tBx+jUh51XGDB5ACW7atXhR6FkVVJX6WvULxjDz/8trqcxwvoCC0qZTb4CwMpIhC07sir/PsJw+QluXff2zFRFBaGj3Cvz8A6ecOK4E/Rv0+lZxI7tYd7OrChA/de+eehXLDP3IgaRryHKY+Tkef/npj3COajZsinc/UzloVJfobc7A49xy8jALQAlu7aFeVsAZG3a4g0ShpLgvKl6vDx0Y7MimweLfBWjQsOOcNdbUIQagOsR81fgsaf+52b0fxOlqO5fwTYqCkL/U+7/nMqfCrZsDzNqYEUBhQ97/3doJHzHQPV4JYXhsmNWOdUbfUGBi6bIawf4GbroDXhklf9t2DeMaSoNFQAeI1PL1gDwx977OXLTnvCAQFhR1j/BRi/rvQtxZ1Wy66tR1p0JLhv5X6ukJNz9yylClQ7gxPGH6E4vagmoJ0YvD6D3AMU1fCNcnVigYUsWgJ3fDoZ78p5nXTdp4T2dt+NUUVsTvhwE/815F5DKjh3h3kZn8OVHVQC4L1uwTUZx3FhkbaGiNMzJrsjmId+/2f5zfhGdxN2XVOr214dP14fK2JEOeAwYTKEeHD2YL+hwACkb1sc2QnqeZTpuydYvS0A6zbcNmWonUO+kOkxbB6mUfKPW237fehe9NczHFBp2hK2DUyl5fJvvYUyHIdwxlkp2NiUA3GQk0UHYZGtvCraxPVyds0KJ5nG196HfeCn8S8q5ykzC+6fLIP/PVdcmwnTbB1VP1IQPAKWW8o1ab5s79HN9+GDtArdjsyS6b3nruncgBaUUhhlRlltQ6v0f552o+8/zbhcT2DdZ6HIe8fgZaraXe8tdQJnxjWYD72i2UPdw/Hd69ADpGlQRpnGK2CzaiK3xayZvoUpX8VCoIbl+8ovXe//HZOGTMBm5alNZdFO0FoSSrLy5P1OtCVv7Ax7c4aLbUXDbfJVUXimFEZavyH3A95Bktc9j29y5riE6mV+4f+4PrV3DgxEeBNJW+Rr+4cCHvfGb170N0Vz5auUaCsNUHInNmwryc8J3UrK+4Ms4ednh10FYMfVWYILPos0jq9dTUaoArLQ/f4guwzDjCXpAjeb+peRnh1+cVjnVEc4jN8LckRRftMHxf8M145HTFhQUPuxtBLFcj/JNt51PPvI2xuriCHl9ZR75eQAebtlnOi6FZeXkAo73j3OgvZ8hR6TNHxIlmvon2ARDJm8vM0v1painaSa6bKj+Z/i1BiCDTF/+uOVI7BNT/PWEh0+ue9OvpLQoQtuTTa7v7432MNcwz7qOGyYMHoBSVNG+bPgPK2YPwHoKI2TvlPvv95ZRz01GZq3dFZ+U0oKIw/8z/9SXJ4IDeVFJ4H3J2oI6UudyRQHqr3nvTd/7IR4c75owXPYAqezYFD54Gtp8ynT8kq9fFm86zbcNsWK+7K3bNaVzrKGTUYQqD2AC8/UweS0/QvsPkF3qWxd1gqGbrggfXAKrs5kjq8xbsrU3Efs9QErxeu8LMSx8EqZDMleZWcz+6aLl/7nq2kTway9LiiKPBEtbW+pt/8YsfBLmQWlh27HZEt63dHsScl6zzLddTFjfZOHLeUlBpOP7lbuAMqOgZFM5WYQbzebCeMk7Kq/wcQ358zozEUpca2zNtSuLP/eEL7tnKefeneUL3gdhM7/HcRuY9RUF5Ocv/CJr48MmLl02Yv7IwsiEG4djjh0kApTyYMRGKIPcglS4NoHZ7iTERcLdYWzDANlkBS3kOHrbN6pluJNv1XVGfVaxmesa/Hic2AwGLn1kwWhzwsSdOXZ4DJIbuYMQTvT5KoOsXCDEkNDE5s08sqIpEvfP73rDy0C9v5m9x1s4NThMx4lDdLyeimpjDTseD7MTor8471/JF6K6aHLjepk/d9qm/OkqsgCHx8noGDDXTm+TThy+jkzPS/X0xHpKBbUcbpjgR6/psV3u5MDlTtKyS/nG9hoqYt2tJkh89c+so/GZb9Rn7p9Gv8HGkpSNBRB/PXGHUV+Va367ka1vx3Ey86zrGJ/wvZxQkhntDoZ/cPreQOs5uFM/n2+NW3R1w3wl8L78ReQHF4DcR8op7O5kyKTH6FIHrAXoNl2hz0PEt6+JLdPxW679soVLp/m2IW4+8424yVw1V1DZF3wbBrMjTN9uzjpgFau/ADhgxOkEErEpUgymdta8ZMFssuL4r3FuTS8uvXCSrb2Zs25bucpbV495cNyeYPamF3OXmcVOk0XJ/1HUtXG764m+vfyzbPIBM8PeUYghXsAubDsWQqL7lrlrUKND7xtpGWqXQMewN9CS8oVVMb2gmFe7mLC+yUKX84KIL+QBSEsN/dwxvYi8gb4P/paSR/0SxvUhlwa9x694JHLgTMRm0RaPdzjD70Y3yx8rFn8nGH92Pe0vaWd20fDtyJT1QCkla5Sk4MR83uTd4SEO+V/ZQmFfN0O6k5x5+B/ZHTDMdYKRn5+jzwMppdsCd5EARh3DAec2twUa8zs5wdDZo/yoZ9jX8fTtYJK6CnVxKbnpMD58ib5rMax5FAPHpzHkq3DHSKa8GUlqHlVNp3ls2MDAv73LO1ftGC9oMV7QkpatZve+nVQ8EJQPlvj+JVyG0vuWi3HvaLe5OjS3nXin3c/eeSec4B15Mjfs4dV1Wxm60EvX2UsY7SbOnDBx5vVUVOX7aPib0jm3zw6wIPWPkxFfNs/Jjr4XcK+UjfjriZn0S8tQzlqLLqTUxKbGqOP33v8pyI560ezpvwneFS+sVdyXoHUqF8ci35fsMqqKOxkatKC/7EQz/WJvgt++7929M+Tb10XqU8Rq2ZXv5ZBOodoQlzOmEe8pcSdUKpm+rBV+BPPCGLd0c/Tlmd33UtKV5KSmkVNUiionDe7eRP++dR4zAOa27PJj3HyjRcZgfGKc+fTDFz1NlkX+j9+oM4a1rlYs/ECJ+Uho3zK9FI1agd5g5dRr/ZT8oDJw1OhtAz0/twMZ7CiPccTxPNrFe6pvEva5I5uyvy7glNaK4dKHjD86sxnY9NIgxRrKluiF771q0QJbWco8IMrFAv7Ls3jr1QRzGWh7/jR6D+SqammoLQ8x2sXCmUR0rnK20lj/Ifu1VnpeakCfU4SmSEkK49gMRoxjHlKU5RzeP3tevXe6ihPytvHDQ2HWLVoEtq7vc6DPt0vKU0+yPcSbhNHzN+m7tjALRXin9sV37KTJm1FKy1NT/R011R6nX4NooP2QkYHq5zhcM7Om21Lfv4RzOX1DgdO4L5qH3PRV00GCim+1UTff9RsVSgo376F58x7G/QOL/W3svKziuUNPo46m8VqwAujlgQAAIABJREFU+mcVWVmAA+9UyuLoWtJ7pWzEX0/MpN9D25tpLl/kERR4AzdgnZ5WHk2dP/03lPHttnrvuj33lMW+Lxmoyopg0ILx10Ycm30bfbiu8J4JQr59Xcw+RYyWVfleLukUqg3JUMa0A6M77oSaYNQ3aybrfyxilMDayYF/6GcEBYWbn6Rhm5rc4CLl1GFboMDWssqPCeFi1JdQaanzm6S76GmyLPJ//DKV2YAlug9PLsYSEvOUqL4lqah2NVJ9rZWea518a+851A+vJzcd3P/HwsBVO+MoUH+zmR0xr0ATe7t4T/VNIjx3ZG7QoNZaMQz2855dQ1U2gJ1Lv/aWac3G9Uu4rNK9adHW2PJmYsARxfzjT+2YAfjzWVPwFtrIhW7vQrTplTQ2VM49hStOWZubObGnlEw8jN4y0XNeR9d5I5+sXEN1fRM/+XHoBRZX/1li53PPy10jA33e9R/Uu75LnTq+qVfzkTLVWZgzX3n4LMxchmTJmzGbahD/uZ1XawpIwcNQz09ndgVbBvcvNnMvGDz+qW8tOUWU07WmpgowNVUgft7AYiudr+yjajVw20hblLvNLVz9k8Z9q3zf8Yfo12y5V8pG/PWEb2oQU1ODFl9KepovIO0b7h7N3/imleCJ/m+Sy+Lfl7RHyqlSALf0GH116bjJEPbt62L3KWKxnMr34qTTfNsQXwAVGL0zVzvhZGpAfUm4OTIRN9IBsDPiW8U6V+l/jDTui/IpKPZRqh6Mv+z3PqAV1/PD+hBBrQW2nPJjNMKu1zdlzMnIGICCrNXzmzWR2DRZJvl/Maxa5RshFEXb93/svmlxeXEul7Gw4ulbApBaxO62ZuqUwF0XBoOOrvM6eizjPLhuK82t7TxXPr8EiLVdTJ6+ydxlxv2HO+GfOzLKqNqoAOzof+dLGLsJ/S1AoaZCtZA7KHw+LVpgK6XQt9PbmBHzjciftQ1e8f5PaREPLvKD9vgdX0O1oTT8Lhq3rL7GI37uQS0tp03cV95I51taeju09Hac5q1Xmti9uSjsMNO0/CJvhHtMjzHcVqILbcxXmClA9VC4HtDM4r4LIe3+Nd7Ga8zEx5FGHk8OYxsM/U/JkjfnbUUq+dX72JsHYGfI5uuYLIP7FyuzNdJN9vDJoO8NXdGaKNdwyKOw1PsApb94JbHr3SjV7N2jAcBtuk40Ow0vXP2TQf5feHsWDtP1qN+23ytlI/56IpX8Iu/LBMf7VxK/c2A08oumFyI2X4vyDXPOGlQKABPv/W6ZLUKdEEtwX1aWot7g7agOfGAHnFz6tbfeCbUQ9GL3KWKxnMr3YqXT/NqQbB5a530A0RtNkR8kXRaMwwCplKwJ85Bovc4nkTaGsV/HOOY9RuH9/m3zzBRF86eRgip2PrHEOgrlzvQoMdW68BsxTG9ctACWU36MykfWiJvUuK996H2wp4gH57moVKLTZFnk/8XwxSLK0gFMGAcjB+PGr5m89Up6EQ/GMjRtqcyjbwnApJOB1qN03Cmg4djU86aW3p+2c/g7Nahy4giyxNguJlPfJHKZAdvHvhox5HPHzCLyQ782MgI4fqdniHnsniyismiBrZmopZOODh2OcB1QRz8d/ROAgqpNqqUbovepM8xD7gTmc+fCbwkbEzsDb+gYQc2uvymNbbRMdhnbS71biXZ09odPz0VhZzTcTloOHecMC/jVOSoqcrzn0PPz8A2u2zhAV7i3AsmWN+OUmR7ceC3h/YuR7Zf9mMP1UazdnLroIbb7o6Ck3Lv7DIOdvHN1gdYSWx3bYpwLUf/kPlLuDYbf6ubU+ShHt9wrZSMB9UTWxm1oFMBYPx2/iGH9jkRZWYratxV7n7aToWiy6koVFZu9D8aGzu7wW84vU5lTW+BFGOGy+PdlpqNq+3cjI04TBiugUKMujTDKaFH6FDFajuV7gdNpvm1I/qZt3vrT+K90hH1QnsD8Tqc3mJGzjfCbShs4dyFcHezC8Ha3d7pliGNM7ZrqNlkYCXO/3KZ+eqJ+2p1txBnmQXPSib4/QodgtdK3Y+LwnKMcQlqO+TESxzkGTGHywqSVHq0BN5CyUcOXo93wI1iC02R55P8oxJuXVhSgedz70mOgszt8ezlh4p3OJN6dLoa+pdvYTfs1D/nbnqQi4euVx9guJlHfJGKZcfTTpZvjuWPteirSAYce8y07xn+3M7/dk0U0Fi+whYKS2ifRKMB9TUtLuw6by++N0qQHx9VODj7fiRFIWVvLDtXiD9nPL1Z7M9pgNx0GJ26/RsTtsjLw6vc5+L6HlISc2gTjEwAWzBZXwHfNLQN1fa034m3tZP93j9M3aA88xt0JHFY9fSda6IpyqnlMlEV8OQdggq6uXmz+faFJD46rWg40dWJWLOR9zKaibmZb3INaEwG74npc2M4f58BrBgh7HsmRNyNy6jn1cjd6q53x4Be1HidDXSc5NQwo1DM7kyyL+xcLBSl39bQc0WIcDux4j17VcuCIdxpFytpaqh+O4ZwLttFQngFM0PNyAwffNjASdP/HncOYz3fSdkIf8IA91NnCmfMmRpyz346PD+s5ddq720thWWlUa1QsaP2TXcm3qzIAD0ZtE0e7LTj8Rw3cdTJyVUfHBf8pLPdA2QASUk9kqKmr9a5PZ+w8xDPt/QzZA++7e8yO7f1eTr3YuQDrAM3cC27rOPj8afTDfu3GpIdxuxV9by9mv0B1/rZ9VK8GxvQcfPYQXYZhRv9/9u47Pqoqb/z4Z2bSAwYSUggJKaQTeiihhV6VoghrY3dR1226lt1nXVfdfVxd3X0e1NWfu5bVVawgChZAuvQeSIAQkpCQTkgPqdPu74+Z3MyQmRCKkPB8368XmmTuzD23nbnne8/5Hrttb6Q6P43NHy/nLaeN7RsjMDTacj3kfMWqfTZlM1n/wY05LrEpLAgEyo6xY8NeDgOB06Yz2MHT1+t7T3G5us71fX3201V8h6j1Zy1rl7/IR6kX3W/V5rD59Wd4bmcj4MPipdOc1vlurq4c/vg5Xl+XYV8PXchn86tP82KaAfBhwb0p7T5DfUBR9jUvvbPP/v2mWgr3reDpV3dQ73G5O8qfwSOtvR+3fMK6HPv9oy9J46Nnn+T1/A4SlOuCCY0CMLB+zdfk2jZWO3V/23XOx85wczWw9tUX+WhfPg2221eexkfPvshHVYBrFA8tvJoG7LXcJ13j/O+Uqz6XIHDWA9zri+X78oUVpF/0vdCQs4XX//gaay8AvtNYNrXrzE53re8tAQwGS3Sm6HgahR31GL1Sl/G9CN3l3sT5NdOQs4XXX2i77py3O1qDrOUc2bKFI0VYZom8msCvcOq6JY8HwCeZJ17Q4/bSu2w+vIJHD69wuJh34lJe/d2NSYjuNmwRD8Ue5vXTtax74wnWveFKaGAv6qvKrRecD9N//hdSMp7k6Z1Xu7YoUhZGsWpFDmtffpi1Dpbw9vFn8PB5LFmcQuTFT3wCp/HsC/DisyvYV36Yt146zFtO1rQg5WrL6oilsbj+pS0Unl7No79abZlBR1ujfvG6hc3m7w/04r1nPv3Bhlq4JS7l2Z+U8Oj7GWRuWs6Dm9ovEzr+EV5J2MGv3k5z/CHd4NzsmIGy1K9Zl/q15VfrTCOG2vK2LzBXfxY/8WObL5mucfw6L4mHH+3Fulc38Nwftzhcws1/Gs8/Mc1+tpdL8iLuvr/xvPYZnttUTvqGf/GrDU4WjVrKMtvfW3JYu2I5a62ni7ePP4Fu9lOjeycu5YlZnbth+qHrn8jFz/Pshed4aWc5+9a+xD5Hlc60J7nX9vduf21YXIt6InDGs7zBSzy6IkOdgtuxafwgVa5PMg8/W4P+hU/ZV76D5X90NE12FA8nz2v71SuBZS88gduzr7GqPJ+P3niGj5x8fNLSH6LQVyFxNg/H7mB56/Xwrg+R7o3k1obx8CvPMt060uX6H5dgkqYE89anOazaBODF9NGO71Kv7z3FFegi1/f12U9X9x0Sufhv/J0XeXpdPqtefpJVjj7A1Z/Fj/6FexOcB1xC5j7AkqJPePHTl9js8FS1JHFeluhgaFDwNJbN3sLTG8op3P0vHtz9r3aLeCcu5dXZJTz4P4630ZnAyUtZsPEl1lbl8NafH+YtVy8ifV0pK6u19KJzDePeJx+g94pneN1hCi9/UhZPY+1frfcUv/iK3v69oKac6pQn+fonnZidpYucj50xfekj9N7yGh+98Qyr3nCwgKs/i5/4LdOvdnjbNdsnXeP875xrcC7polj8wpPw0nI+yt/C0//lfJuffW5p1xoWdo3vLQG8h89mgW8aa09/yq8ecFDxuHoRGRLNpIVLWTD8SoaRdv57Eege9yaB83n+Zw2899LVtTsCx88m+dN32bfF8hmRM1OcD7kXV+X6BrYAglN4+JUEpm/dwrpdezmcZ/3C9PBhcMJYUmZMY3onZ+z6Qej8mf7U6wzY8ykr1xziSHkjhWXluPX0JzkphbmL5zHYH6qbo2DnVeYeMpVT1tyLSFfIdJIOoaG2nH3b32Xf7h08/NKz7b8gg6fxh7dGkrtnPWs2Hya9qFyNeHv7+DNgQBIpM6aREn91RXXGLXEpb7wyhLUfrmZzRj6FF8rJxZXQiCEkT1/EwnFheOsyiHPlBw2MBE57kn/H7WPzqvWWcjRjqaSjhzB91iLmDveHjAzcwHl+gK5+bnbEN4WHnoTITTs4fKaE3NpGcsss3dJDA4OJTJ7D4pnJhF4UHO0qx69zytEH/4K/v5bC4Y2fsnZ7Bum1li7Avf2jSZk9j4VTneel65DOi8FLl/PJzDQ2r97A5ozstqeirl5E+oYTn5LCnJRku5vGuIV/4Vnf9WzekUNmVTnVteXkYpkiPTI0gbnz5l3eOfND1z86H5J+tpwP5liule+zS8i9YA1i9vQnLjqZBTPC27+vO18bNq5FPRE440k+HZ3Djm+/YvPhbDLVG03rtTY8hbnTUn6wWX7cImbzh7eSyNz6NWs2HiO9tdGJK6GB0YyYOY+kixMH9xzCvf/7JtPTNrD2ux2k57YFvN16+hMSGsX0yXOYNKqrHUN/Up56id5rVvDR1gwyL9SSa/IiMiKcwIsaIdf7uKg3qtDxsJvreU9xpbrC9X1d9tNVfofovIi76y98MGEf33+1g80nsq31p+X9YyenMGdy++/Zi+XW+5D86Ot8cGILa77ewI5s632bhw+DE1JYsHhOB/luXIm7ZznvDLG894h6LbsSGpHA9Dl3MX1UMN5VW0iCy8uH5ZXAsleWk7RmBau2Z5Be20huGXj7hJEydhoL51kesGbGuoKT3PRuCUv5+1/CWPnpajZn1FJdXo63jz/Jwb06X46ucD52QpkhmIeee53kg+tZtX6HWk63nv6MSJrNwnnTiLtWxbwm+6RrnP+ddU3OpZ4JLH7udZIPbmH99h3sbb3WWr/3J89n0qjgLjdx0jW/twQayspxC/KBKidDjQ2N5OalkfvyE2ye9iSv/CThsnsadvp7sVUXvzdxGxJFXGzC1bc7fMYyd/wK9u02AMHtZ08W14ym8lytcqML8X9SYwbvPfkSa6t8mL70N9w7MYreFz8tMBloKMtm3bvL+ei0AYb8gk9/l9z18tcI8UMq38Jzj63gMFF2vTSEEEKIS+oi3yGZ7y/lv7YA0zrZ40R0QeVs/vMTvJ4DSUuX8+yMbnBD0kXOf3HjlG16jl+tyIGwaTz7q0XEBXrhdlEwRt9YTtnh1bz09j4K8eLeP7/JYhkud80Urn2CX60uh6ilfPDnrju6obu7jjm2RBsD6SuWs7YKku55lodnOAhqAehc8Q5OYPFP51sSGqZldzgDixBCCCGEEEIIQckGlq/IQd8zhWf/uJTBwe2DWgBuXv6ETnyAnyYDNJKZ27VybnZvJaTvt+zP5CkjJaj1A5LA1g2RTfoBA+DPiEGdeHTi6kqPH7xMQgghhBBCCCFuBtUZhyyTpiQOIc7ZCGeV6w2ayOQmd3qHZaZa12TmjvK50aW5qUlg64Zww80DoIaymksvXbhvhyW/0ZBoQn/YggkhhBBCCCGE6ObcPKwJbMprrPk4O9B4mH37ALyIi5Qxq9dGLfu+3kIZHc8SKa4NCWzdEFEkTfQBDKx9+18cLnOSOb42n8MrnuGx1SWAD/culPxaQgghhBBCCCE65j1oLCmuQM6nvL42hwaTg4VMBspObOD1J19jnQHchvyYuZJf6+qZyjn89nMsTzOA6xCW3So79Yd2/WdFFABEzv8tD+U/x1sn9vHcE/sssz/YdhFtrFFnK8MjjGWP/4EFcj0IIYQQQgghhLgUn2SW/TyDwjd3cHj1c9y12pXQwF60jTjUU2Yzu3Lk6KX84ZfSkeKKnVjBvJd2EOoDha2zq+PDgid+QbKMQvzBSWDrRvEKY+7v3iTp1A42b9rB4ewSctWeW6709u/F4OgEkpOnMWlUWJebilYIIYQQQgghRNfVe/T9vBo3jcM71rN5RwbpZeVtwxI9fIgMTCB+dBIpKSnEBUqSravi6kVkT8itNYCrF3GDpnHvfYsYLCM7rwtN5bla5UYXQgghhBBCCCGEEEKIyyU5toQQQgghhBBCCCFEtySBLSGEEEIIIYQQQgjRLUlgSwghhBBCCCGEEEJ0SxLYEkIIIYQQQgghhBDdkgS2hBBCCCGEEEIIIUS3JIEtIYQQQgghhBBCCNEtSWBLCCGEEEIIIYQQQnRLEtgSQgghhBBCCCGEEN2SBLaEEEIIIYQQQgghRLckgS0hhBBCCCGEEEII0S1JYEsIIYQQQgghhBBCdEsS2BJCCCGEEEIIIYQQ3ZIEtoQQQgghhBBCCCFEtySBLSGEEEIIIYQQQgjRLUlgSwghhBBCCCGEEEJ0SxLYEkIIIYQQQgghhBDdkgS2hBBCCCGEEEIIIUS3JIEtIYQQQgghhBBCCNEtSWBLCCGEEEIIIYQQQnRLEtgSQgghhBBCCCGEEN2SBLaEEEIIIYQQQgghRLckgS0hhBBCCCGEEEII0S1JYEsIIYQQQgghhBBCdEsS2BJCCCGEEEIIIYQQ3ZIEtoQQQgghhBBCCCFEtySBLSGEEEIIIYQQQgjRLUlgSwghhBBCCCGEEEJ0SxLYEkIIIYQQQgghhBDdkgS2hBBCCCGEEEIIIUS3JIEtIYQQQgghhBBCCNEtSWBLCCGEEEIIIYQQQnRLEtgSQgghhBBCCCGEEN2SBLaEEEIIIYQQQgghRLckgS0hhBBCCCGEEEII0S1JYEsIIYQQQgghhBBCdEsS2BJCCCGEEEIIIYQQ3ZIEtoQQQgghhBBCCCFEtySBLSGEEEIIIYQQQgjRLUlgSwghhBBCCCGEEEJ0SxLYEkIIIYQQQgghhBDdkgS2hBBCCCGEEEIIIUS3JIEtIYQQQgghhBBCCNEtSWBLCCGEEEIIIYQQQnRLEtgSQgghhBBCCCGEEN2SBLaEEEIIIYQQQgghRLckgS0hhBBCCCGEEEII0S1JYEsIIYQQQgghhBBCdEsS2BJCCCGEEEIIIYQQ3ZIEtoQQQgghhBBCCCFEtySBLSGEEEIIIYQQQgjRLUlgSwghhBBCCCGEEEJ0SxLYEkIIIYQQQgghhBDdkgS2hBBCCCGEEEIIIUS35HKjCyCEEEKIa0+v15OecYrevXxudFGEEEIIIa7IgPDwG10E0Q1IYEsIIYS4yZjNZt74z/vk5OZRWFx8o4sjhBBCCHHZxowYwVOP/eZGF0N0AxLYEkIIIW4yRpOJ09k5DIgIJz466kYXRwghhBBCiB+MBLaEEEKIm0xLSwsl587xyIMPkBAbc6OLI4QQQgghxA9GkscLIYQQN5m8/AK8vbwYEB52o4sihBBCCCHED0oCW0IIIcRNRFEU0jNOkRgfh85FOmYLIYQQQoibmwS2hBBCiJuI0WTiZOYpBsbE4KLT3ejiCCGEEEII8YOSwJYQQghxE7lw4QKnz+QyeODAG10UIcR1ZDKZaNbrURTlRhdFCCEAS85Pg8Fwo4sh/g+QwJYQQghxEzl24iQ9vb0JDgq80UURQlwner2BFStXsXjZA7To9Te6OEIIgdFo5Mnn/8q3m7fQ3NJyo4sjbnKSfEMIIYS4iZzOOUN4WJjk17oCBpOJ4pJSyisqUBQFBcjMyuLHP1pyo4smrjOz2YxGq0VzowvSCQaDkY+/+IL9qUf5fy+9iIe7+40ukrgOFEXhfEUlBUVFKGYzAKUVFcyZOgVXqf//TzGbzSiKgq6LpR9wcXFhyfx5/PXVf1BTU8s9i27Hzc3tRhdL3KSk1hNCCCFuEkajibyCfOIlv9YV2bZjJ2+89x+7vy2cO+cGlUbcKFt37SY1PZ0+vXtz9x23496FA0VGk4m9hw+xZt16fvOzn9E/pN8l32M2m8k6k8uprNPMnT5dGprdVFNTEw8+9rjd3xJiYpgzdcoNKpG4EY4eP8HegwepqK5m3MgkpqWk3Ogi2RmTNIIlC+azcu1XuLu7sWTB/C4XgBM3BwlsCSGEEDeJ2gt1ZGbncOuM6Wg03aGvSdfi5+vHY7/4OXn5+axdv+FGF0dcY83NlqEwHh7OA1VNzc0cOHyE/UeOABAfG8vo4cO67PVUU1PDF19/y8SxyUwYM8rhMiaTCY1Gg95g4HxlJXsPHmLnnr3ccsstzJ0x4zqXWFwrrq6u/P6Rhzl//jxfrt9AbV3djS6SuIZMJhMGg7HD+spkMpGZnc3G7d8D4ObqxsTk5C4XrP7RwoXk5efz2Zq1hAT3ZWJy8o0ukrgJSWBLCCGEuElknTkDQFRExA0uSfeUNHQwACOHDJbA1k3o/ZUryc07y4vP/LHDHgNFJSXqz7W1tSiK0iUDWy16PWs3fEdldTWP/OwBh41Zo9HIBytXUV1TQ1FJKcXnzuFzS0/Ol1eQcMstN6DU4lpxdXVl3KiRGIwm9qcelcDWTebAkVReeu11Vr37jtPhxYqicL68Qv29sKgIcxecPEKn03Lv4js5eTqLbbv2MGbEiC4XfBPdnySPF0IIIW4Sp7NzCOjThz5+fje6KN2aVifP/W42ZrOZzKwstNqOb33d3dwYNWIEvr16MWzQIOJjYi75nhslr6CAr7/byMjhwwgLCXG6XGZWNiaTiaGJA3ngnrvx7d37OpZS/NC0XS/mKq6BtIyMSy7j4uLC0MREEmJj8e3Vi5HDh+Hm6nodSnf5+vfrR0JsLKnp6ew/fPhGF0fchOTOTQghhLgJWIYk5BAfK/m1rl7Xe+Itrs658+fJzS8gISamw+W0Wi1LFy/iRwvmodFoumx+LYPBwL6DhwAYGBODq5PGrIuLCy8+80fAsm0mk4lte/Zct3KKH57Zmjhe3DwURSEj83Snlk0Zl8yYpOEoioKbm1uXDcRrtVoS4+M4dPQoW3fvZfSIEV22fhXdU9c884UQQghxWYwmExlZWQyMje2yN7bdhU72303n6PETnV5Wq9Xi4eHRpRtdTc3NHD6WhotOx5DExA6XdXFxwcXFReqFm5ROp+sWs3eKzsvNLyC/qKjTy7u7u+Ph4dHlr/Hxoyx5AI+mp1NYXHKJpYW4PNJjSwghhLgJnM6x5NcaMjDhst9rNpvRG40oJhNgaQi7urqi1+vR6nTteoCZzWaMJpOlp4A1/5BWq8XFxaXDXEQm6+ebzWZ0Op16E242mzEYjShmM66uru3yHymKgsFgwKwouOh0uHQwlX3rtOcXr8NkNqOYzShYAlfXqgFgNJkwGo2YzWZcdDp01n+Xq7XcJpPJLghhMpsxm0yg0XRYbrMCitmEGdAoirqPjCYTZpPpkuVq0evV9StmM15eXs7XZbOPNRqNui5FUSz7WVEwmkx4djIwpCgKDQ1N6Fy06vnj5urqdP2251Hr+k0mE4qioAAuOp3deVh34QJbd+7sVFlst+/iY+Fs2YbGRrQ6nXp8OhoKZFd2nQ4Xm2tAbzBgNptxc3O7ZK/L/MIiCktKGBgXi1/vXp3etptBa33QenwU6/luNpvV/Xfx8q3XqKIooNGgtZ43HR3b1qT7rT2ibM/zFr0ejUaDzsVFPYZ27zWb0Vj/39F123o+KNa8SK3rMCsKZpMJBUueNE8Pj8vaR84YjUaaW1owmUx4uHug02k7rE+dUc9ja/3fer62HgPFuoyz3FCty7Z+Vmtd3XqMFJs6zNl2GIxGWvR6XF1ccHd37/CaMVnrUMVsRmtzPEzW+rv1e66zufQMBgMmsxmj0YiiKHh3qr5U0GjajrHBYFC30/a9JpOJbzZu7FQ51G2zrgetFtdL1B3NLS3q8mazgpen84CY2aygKOZ23ysAeoMBjUaDBmtwtRP7zte3NwkxMWRkZZF5JoeoSMkHKq4dCWwJIYQQN4GsM2cI6dsXv8vMn9PY1MSa9RtIP3GS4nPnMJpMxEdHMX7UKDbv2MltM2cwbnTbbGstLXrWb97CgdRUqmpqqKquxruHNwF+fRg3aiSzp05p19Oltq6OL775lvqGBopLz6HRaBiSOJBFt91KxunTfLdtO1U1tWiAoMAAbpsxg4iw/mi1Ws6Xl7Nj7z6OnjiBVqMlJLgviXGxjBw2zG49h44e43jGKerqL1B6rgyNRkN0dBT3LFzAxm3bOVtcTFV1DR5ubkSGhzEkIYHoAZFXPO243mCgvLyCtd99R2Z2DnV1dfTx8yO0XzDTUiYSGxWFaycajIeOHuPEqVNUVFdTWVmFoijExkRz76I7WL95C/nFxVRX1+BuLffQxESiIsLtyv3+pysBhYKiYhoaG1GApx59hPSMUxw5lkZ9YyPDBg1k+KBBBPfta7f+Fr2eT1Z/QVl5OWcLC6mprSMyIpzQvn1ZdNtt9PHzVRssZrOZDz5bBRrIKyyipakJgD/85hHyCgo4fOwYVTU11NTWERrSj4jQUCZPGN9h47asvJwvvllnWX9BARqtlsiIcEKCgrj7jtvt3mswGvlw5SqaW1owYsIiAAAgAElEQVSsvRksDdU//e63rN3wHekZGSTERJM0fBhxA6JIz8jgbFEhqWnp5OSdbdtfK1ehVbdJ4cdL7sTFxYWmpiY++XItF6znEEBsdBTL7r6rXbkVRaGotJS1G76jqLiEswUF9PLxITw0hKGJiUyZOAF3mwCL0WhkxcpVtBgMnM0vUD/j+T/+gdz8AvYdOkRmVjYK0DcggN69e3HPojscnkOKopBbYPmMhJj/Wz00DQYDG7dvJzX9OHkFBVRWVZMQE0NURDjVtbWUV1Ty0rNPq/vEaDSybfdujhxLp7CkhKrqarRaLYEB/gxJSGD65EkEBwbaNcpNJhNfb9xIeWUVBYWFGIwmenh78fuHf01FTQ3rNm7ijPV88vTyZOr4cSQNH46HmxvNzc3sOXSEXfv3YdAb8PPzJTKsPynJyfTu1RaAdHY+PP3bx0k/eZL0kxlUVddgNJnoHxpCVFgYY5KScHO7svxJiqJwob6eL75dR2ZWNqeyswnpF0x4aChDExMZN2ok3l5el97/1mvQrtzAM48/ypH0dDJOZ6nlDgvpR3REBKOSRtgFew8dPcbxU6eorKqmorIKNBAXHcXYUSP5ftdu8oqKGTVsKKOGDSMk2L6+MhqNHEhNJTXNcvxz8vIYEB7OgPBwkoYNJWnIYLvgS+rx46QdP8G58gpqamrQaDTERkex6Lbb+OKbb6isrqaqugY/P19iIiOZmDyGHj16qPXDxfR6PRu2biMnL4+cvLNU19QQGR5GSN++zJ0xndDgYPXcUxSF9z9diUYDuQWFtDQ3oygKz/z2cXbvP8DJrCzcXN0YNWwow4cMRqfVsn33Hg6npbHXOswY4MNVn6vbZDKZuGfRHXh6eGA0mSznkF5vdyxeeOpJh0OTW1pa+Hj1l5SVnye/qMi+rp93G3182+r61rKDwtnCIpqbm1GAP/32cbQ6Hd9u3MyRtDTQaPDt5UPvXr24b/GdHdb1YHmoNDA+joysLE7nnGHW5MlXFFgVwhHd73/7hz/f6EIIIYQQ4sqZzWbWbd5McN++jBo+rNMN3Ra9nuX/epNN27az8NY53H37QmZNnUJ9fQPvfvwJ5ZWVTBo/lhBrMMRoNPL+Z5+x6quv8fL0ZOnixTz8wDI0Gg0VlVV8t20bldU1DEkcaNcgL6+o5OV/vUlufgEVVVWUV1YS0Mef6poa/vPpZ4wcNowRgwdx5uxZDqSmsn33boICAmhsaeZvr72OT8+ejB4xAqPJyIat29h94CAGo5HE+Hh12GBxaSlvf/gheQVt63DVaVm3ZRvpJzPo4e1NYIA/dXUX2Lh9O/tTUwkODMLfz6/djXWLXs8X33wLQHxMNMMG2Q/1amlpYde+/Tz7t79jNpmYkJzM3XfcTkVVFVt27OTwsTQC/f07TOjdqqi4mLc//IiCoiLKKyupqKrCRadl3eYtpJ/MwNvLi6CAALXcx06cIHpAJD49e6rlPnL8OGvXb6CkrIyKqioqqqoI9Pfnky++JCoinO2793AkLR3f3r2JjY5WG21FJSW8+ubbfL9nL0MHJTJv1kympkykqbGRtJMZfLNpIwPCIwjo44dGo8FkMrFy7Vfs3n+Aczbrqqyu5oOVq2hqaaFfUBCeHp6cyspi2+7dXGhoICE2pl0vJkVROJh6lFfeeoejx48za8pkliycT3RkJLU1NWzZuYvDx9IYN2a0+l6D3sBfXn6FnLyzVFRWUVFZSR9fXzJzcqirv0BocF/WrN/A1h07mTJhHHn5Bbz9wYeUnS9vOxcrKzmdnUNmdjaZ2dlogKkTJ6DVajl2/ITdOVRRVUV8TEy74282m9m2azevvf0OZeXlTBk/nvvvvYfePrdwvqKCL9etp66uzrLd1uCW3mDgL8tfISc3T/3sPn386OHlxT//8z7R4eGMHTUSUNiwbRunsrIxGAwMHpjQrpFtNJlYv2Ur+YVFJI9MIi466pLnmV3Zd++horIS/z59mDx+3BUHd683o8nER6s+5+PVXzJ6xAjmzZ7F0sWLCekXzLrNWziRmUlAnz5MnThBbaBv3P49/3zvPxSVlPDzpfex5PaFDIqPp6Kyio3bv+fU6dOMHj4cT0/PtvUYjbz9wYccTD1KWXkFFZWVNDc3EzsgiueXv0xIcDBjkpIwGY3s3LefPQcPUVNTS1REOMv/9SaFxUWMHjaMkH7BbN2xk32Hj5B24iQTk8e0ncsOzofWeuvTL9ag1WgJ7huEWVHYvP179h46jJeXF+GhIe2CFiaTia07d1FRVYW/nx9TJoy3G05tNpvJycvj+eWvkHbiJMmjRvKTu5bQNzCIfYcOsXXnLjzc3YkMD79kMF69Bm3KXd/QQNaZXNas32Apd3BfzIqZTd/vYM+hQ5Zy9w9VP7uotJR3VnxIQVERFVWVVFRWEh0RwXfbttGrVy9qaurYsmMHObl5TEgeo75Pr9fzxnv/4aPPVxMUGMCMSSn8+v6f0mIwcObsWVZ//Q1Nzc3EREWp+3n9tu2sXb+BopISdf/qdFq+2vAduWfz6dmzB/36BnHu/HnWb9lKTt5ZBkSE4+3l1e66aGpu5r//53/ZuP17hgwcyG0zpzN14gQam5pIP5nB2vUb8PL2YkB4OFqtFkVRWLlmLbv2H+Dc+fPq/nJzc+PY8RPotFp27N3Hrv0H6Nc3iOC+ffntn/673RC9rDNn1PrqdM4ZFt12K66urhgMRlat/Yr9R46onx3Qp4/l+F9U9qKSEv7x1jt8v3cvyUlJzJk6hWmTUmhsauJY+nG+3bSJqPBI/K11vaIoHD1xkrXrN9iVffqkFN549z+0tLQwdFAifr17sffgIdJOZlBQXMzoEcMv3du0qIjU9HSam5uZO31at6l/RNcngS0hhBCimzMYjXy8+ksmjxvHgPDwTr1HUSwN6G++28gdt85l8fz59PLx4ZaePRmUEE9jYyOnc84wMXmMGtjS6/W89s676PV6auvqmDt9Gn0DA0mIiSExLpbdBw6SkZWFl6cnMQMi1QBbzx7e3DZjOgnx8aSmpaM3GDAYjRSfK+MvT/6ekUOHEhYawthRozh24gTllZWUnDvHvkOHeeDee7h1xnQiwvozbMgQFEXhxKlMss7kMmXCeHp6ewMQFBDA7KlTiI+NY/f+/QCcr6hk2KBEnnvyv5g8fhxJQ4YwbvQo9AYDaSdOsvvAQTw8PEiIibHrsdHc3MyX69YDEB8dxbBBg9TXTGYzO/fv57W3/01QQAB/e+Zphg0eRO9ePowYMpjyykoys7PJPZvPtIkTcXXtuKHYNzCQ2VOnkBATw64DB9Ryjx01kmefeILJ48cxYsgQxo4ehcFg4EhaOlt37mJQQgKB/v5oNBoGx8eTMm4sZkUhJzcPgMNpaTz0k6UkDR3Khi1bAfDw8GDcqJFotVqam5tZ/s83Sc/I4OnHH+PWGdMJDrIE+oYNGsTwwYM5nXOGz9asYcqECXh6eODi4kLK2GTGjBhBdV0dxaWlgKXX1Y9/tIRHfvYgY0aMYEzSCKKjBpCReZrU9ON88c23zJs10y64lZOXx99ef53Kqio+e+ctBg9MwLdXL8JCQhgxbCjRAyJZv2kzO/fuY/L4cZbheS4uLJg9iyEDE8nMzqK+oYGggADyCgt49onH2bJzl1qm4KBAZkyexJ3zbmPhnNlkZGVTUVlJfHQ0b/ztRX60cAGL589jyoTxaqCgb2AgC+fMJjEhge+tCdYdBTZ37d/PK2++TVCAPy//5TkGJcTTs0cPoiMjGTNiBL19erFy7Vds3rGTmZMn4+bmqpZ9WOIgteeQf58+bNmxk98/8jCTJ4wntF8wQwYO5GxhIUUlpRSVlHDrjOntgg0mo5G16zdQVV3D1PHjCQsN7fAcs2Ub2Orj58cEm8BhV3fmbD7/ePsdEmJjeeIXPyc4KAgvL0/6Bgbi5e3F/sNH8PfzUwNbRpOJT79YQ2mZpfddeFh/kpOSCA4KYkzSCDKzcyy9LesbGDwwQT0PdDodk8aNZezIJM6dP09ZuSUwejIzk8d/+QtmTEohon9/hg8ejMlsJuP0ac4WFnI67yzxUQN46MdLiYuOJmZAJInxcWza/j01tbX49upFzIBIdfjsgtmzGDlsKCWl5yivrLRupcKv7r+fH9+1hNHDhzN21EgC/f05cCSVYydOkJOXx9iRI+2C8a2B1tbA1sXBypq6On75u99TV1/PL3/6E+647Vb8/fyIiggnpG8Qew4e4tiJEwxOiCcoIKDDY2B7DZ7IPEVjYxNGkwk3N1d+ff/9/OSuJYwaPoyxI5MI7NOHA6mWcmfn5jJu1GhcdDr6ttbVMbHsttZ5gQH+9PTuwQP33Mtna9fQ0tJCZXU1Kclj6OXjg9Fo5KPVX7Bhy1YmjRvHow89SERYGG5ubgyMjWHsqJEYzWa+Wr8Bg15PfEw0rq6uDEmIZ+aUyQQH9+Xw0WOA5UFLythknv3db5k8zlK/jh89irPWgMuGrdsYNXwYfr6+6na3tLTw+DN/4szZsyy7+y6WLFxgV1+OGDaUvIIC1m3aQvSASAL8/XGxnkeTLqqbT5zK5PeP/JqoiAi2WIdIK8Ckscksuu1WFs+fR3NLi5pe4KN/vcHdd9zO4vnzWDx/Hu7u7tZzSMfE5DHMnzWTg0ePUXfhQltg0+b4NzU38/I/3yQtI4NnHn+MWVOn0FcteyKREeHs2neADVu3MnXiBLw8PdFqtQyKi2Vi8hhaWlrIs/YQLT1/nmGDBnH3HQuJj4kmMT4O314+7Dt8hOLSUmIHDKDfRb2CL3a+vJy9hw7R0NjIvNmz7Hq2CnE1/u/0XRZCCCFuUnUXLlBaVkZ8THSn32M0GsnOtQynCQ4Kavf64gXzcXHRYVbaZgjUaDRqDq+w0BAiwsPU1wL8/Zk9dQoAK1au4lx5Wy8ZrVZLz549GRIfR6C/P2B5gvzgfffYDZ309HBnUHw8YHmqO3rEcIYPHqQGyLTA0MSBgKUxdzQtXX2vTqfDt3dvhg0aqP4tITaWXy77qV3OHRcXF368ZDGJcXGAZZhH6027up22qZgv6i1TXV3Np1+sASw9fbytgbXWMsyeOhWwzMJ3OC3t4t3aTmu5h9oETxbddiv3332X3bAj14vKvfxf/6KiqkrdppC+fRk+eLC6/LDBg5kwZgz9gvry+C8eYtzoUcydNk3NR/Xt5s0cP3WKwQnxDBmY0K6XX1BgAMFBgQB8vPoLDEYjAG5ubkRFRhBic8785mcPMn/2LLsn9TGRkSy8da76+1srPlRzwbTo9XyzcRMX6hu4c95t7fIHuWi1DI6PJygwwNKTYvMWjNb1e3p6MighjjFJSQCcyMxk5qRJ9PD25tGfP8TkCeNZOGc20yZORKfT4ebmhpubmxq41Gg06t9a/7XSarV4enoS30EPqOaWFrbtsgS9Rg0f3r7sLi5MnTieyPBw6i5c4P3PPlO329PTk4HxsSTGW47hqdNZTJk4gYGxMWqvLK1Wy9Tx4wGob2jgmIOk9wajkUbrMFCfW25xWtZLMZtMTmdT7Iqyz1ga+rEDItvNBDhxzBhiBkTazWeq0WhIGTtG/T0uqu246nQ6Ft1mOT+37drFrn377D7P09OTqMhIYgZEApbgQPLIEcRGDWirj7RatT40m800NdRbAg8251S/oCD6Blquo/SMDFr0ert1xERF2/W4e/6pPzBmxHC1x5VWo2HKhPHMnWapV46dOMl6a6DaGdsgvd5g4I1/vweAX+/ejBsz2m7ZQQkJDEqw1LkHjxxFb1M+Zzw9PUmMj8XP10/921+f/iOjRwy32zdTUyYyd/o0ANJOnGTD5i2AfV0db52ldNe+/UxLmYiXlwd/fOwxYqOj+emPlqjfTdl5eayxPmyYmDym3Xnr4e7O6OHDANj0/Q7OFhSp6+rj60vK6LbtXnTbrTx43712AWM3NzcevPcevKzDMd949z1abHJRbdu9h6LSUnr28GbG5MntJhgJ7NOHkcOGAvDqm29TXV0NgKurKyHBwQy3eTgyZGACEf37Ex0Zwb13LmLyhPH85sEHLPn5rHWSbWDq4vrK9vh6eHjQo0cPevbo4fBYGU0m1m/e0lbXJw5slwsrPjqakUMtZf/o8y8wGAxq2fuHhKh1LUB9fT2zpk622//DBw9Rf04/deqSs3T63OLT9nkNDR0uK8TlkMCWEEII0c2dzjlDoL8/vr06n0Rao9HQ28fSKH793+/y1gcryMjMorm5Gb3RiLeXFw/ddx/uLm03sO7u7jzyswd5+vHH+PX99+NlbdS3JvsNsjbgAEpKzzlcr4uL5Yb9lp49HA7Vs21sDIyLaxdw8XRvCyTorTfgdhSF+Oho9WdH+Tu0Wi3JI9tu1jd/v0NN3gygcTKUU1EU9h4+wvmKCgDirT29WrdfURQiw/qrwYbjGRlqUONSbJsCZrPicHiGVqtlTNIIAGpr6/hqw3f25bNpUMRERlgT7esYN2o0j/38IYZYg4J19fWs32xpHPfw9nY6+1+cNVC6Y+9e9hw8aP9adFsQ1dn7JyaPYYA1+Pn97j1UVtcAcOTYMb7fsxcAb29vh0mHXV1c1OP40eovKK+satvOi5ZNjLM0zL09Pfn1/cssuV6uItl2R8fsSFoaqemWgGpr4O9ibm5uRPbvD1iGwlVWVTv9vNHDhrX7m9bm2Ds6DzQaDQ0NjQD4+Fx5YMtgdHD9XAaTdQKJq/3XWb16WRrEa9Zv4O+v/z9S09Korq3FYDBYgspTpjI9ZaJ6Leu0WsaPGcM//vo8Tz/2KAPjYtXPUhSF4OBg9feSsvMO16nVtu3/xPj4dsNCbXMKxUVFtQu4WCbDsNQnzS0t7eojDYrd+ewoR5FGo2HSuHHq73sOHbKv+zQacDIvYtn5cg4ePQpAVEQEnu7udvWVVqttq68yT9k9yOiIRqOxCwA763WTMjZZ/Xn3wYNqgBws9Vyr3j4+DIq31PexUZG88NST3DpzhmXIndHI5199rS7rrFdyRGgoof2CaW5pYevuXRhtrmPb88xkTSB/MX8/P5KtQZy8gkL2HTkCWOrL1qHpQQEBeHo4ru+GD7I8WKhvaODL9RvsXrP9fomPiUGr1eLq6srCOXP41bKf0sPmAcnlMpvNhPd33Guz7sIF1lkDij28vdtNrNBWJtu6/pDda7ZlHzF0aLsepHYPjjqRBqGXTZ3VWo8JcS1ItjYhhBCiG1MUhTN5eQyICEd3GUlYdTodyUkj1Kfg6zZvYd3mLYRY83TFREYyecL4djfCHu7ujBo+DIPBQEVVFZnZ2dTWXaC+vp7i822NQ0cNB8U6gxZAH19fh8vY/i2gj1+71zXatgaco0aY7To6Yts4Kik7r86wBqB18naTycRZm95dT//1RQBmTpmMl02Onn59g6itq6OistquUdCRzi4XZVPu+oYGjCaT2lPKtti2T/AvHg6Ze/as2tvLx8cHZ3p6t31GYXGJOnvZxetyxkWno4+fH2fO5gOWfGJ9fHtzJr9tH/r7+Tp7u9p7AqCgqIi+gZZhUor6H4v+/doCFJ1J2H8pznoxmUwmu4BtTJTjnl0ajYZbetrsu5ISAvz7tC1gU/Y+Ds7xzrgWPbYMBuOlF3KiRW/g5X/+k9q6C1f8GWA573/3yK/p04lJL4YOHMiAiHDO5J1l/5FU9h9JpYe3N0MGJhAfE8O0iRPszhmwnA8R/fvTLygIk8nEwaNHqbtQT31DPflFxZdcp23PHH+/9sfKNghpm3xbZZ0x1rKxl1ydUxHhYfTyuYWa2joKi4otwdfW81RRnH54sc35Gtw3iPc/W9lumV4+lgciFdbJK66liDCbchcXYzIa1WvUtv4O6NOnrW7RaOyGxxqNRjKzcwDLcOGePRwHgTQ6nVpnncrOxmg0qnWj0onvBK1WS7++bT1RS0rPWSZqOHtWfZgREhzs9Pul1y091Z+Liost67duq+07fHq2LXepoeqdodVq7R742MrLz+9UXW/7WkFRMWab4J9t2f0cPTzr3ESSbeuy2U8NjRLYEteOBLaEEEKIbsxoNJFbUMDA2JhLJm21pdFoiAwL49f3L+P/vfue+vei0lKK1lnyFC2cM5tF8+epeazAkmtkf2oqqWnpbN9tGZIVGdaf0H4hag8wwGkjrrUt4+Ligtm2cWZl2yPC0cxUto0KR40wjaZzndEDbQINZ/Pz7Z7oa53sR5PJzPGMU+rvC2bPcti7KzYqitioKFCUTjWoALSdLHdAgL/6c01tnaWXVmvjzWY528DKxfILi9SfbQNyHSk+dw6z2dzWg6iTDcVeNg2mwuJiBicOpKi4LaDg7dnBTGw2x7eotJRR1qClxmb1gf7+eDjpQeH4IxW7AN3lMJvN5BUUqr/38XUelLM9FoXFxYwY0jZM1HbX9eho+39ghk72JnTEbDIS4O+vDrO74s8xK3g5aZRfzMvLi0d/9iDvfPQJ6SdPApbg7p6Dh9hz8BAbtmzlf/77T3a9X4xGI9V1dWza9j3bdu+ivMIy4UD0gEj8Ozh+rRS7Ycntr1Gdzd9cnPSGaR3arCid7512Ma1GQ69bfKipraOpuZniklKiIiNsVtL+ejSbzRSfK237g6I4XE5RzCycOweTyXRZM2x2pmbTarV25S4qLSUqIqLtA6zXeECAv9OAUVFJiTpkzbdXL6fL2fZYLSwqpqy8XO0V3Nnt6uPbFmDNtwZ4ztrUl74dBGBt63rLe9tqAdv6oGcHdbMjxiu8ThVFIb/Qtq51XtdrbOra4nOldoEtu7I7GfIoRFcggS0hhBCiGzOajGRmZbNw9uzLfq+bmxtTJk7A09OTnNxcSsrKyM3Pp7zCksh4jXU4xX1LFuOi09Hc3Myna9aqvbwS4+KYNimFsUkjcHd359DRY6y1Do8zmtr3BtFotGi1bbmOHA0TtA0UOeo5Y9t4wVFgS6vpVNClo34JzoZHaTQaNdcTwIwpk+nnID/Zxe/pjE4uZveE++Lhdra9S7y9nA9tsQ2AdjQUzLbsunaN+st8TE/bPrcNKpk6WL9tY9R22+x6EHQiOGFLo9HYrb+lpQWdTmd3LjrryaRctPLaujoC+vRxuOzFOXhsCmB37rm7tw+GmO2GUDkK3mrw8vREbzBQW1dH7w56YnTEeBVDET09PVl2911X/H5bnb1GAPoFB/PEL3/O5u3fU1x6jtLz58nMzgYswde//79/8offPIynhwdms5ljJ07w2tv/pqauDj9fX37yoyVMTB6Dj48PJqORrzdu6rhsNkfLUZJ922Pl6IgbjUb1fDObFbsellfn0kOnNRqNXQ/GoMBAZk2Z3OGndvZYdLpfVwcL6rRatewBffo47W1r+4Cjrv6C08rSRaeze81oM1zz8muriz63df0XnPdQtL3mLWVu23jbuszrMoPZLhfVV2A//NtShzve0S467UXLOaaxq2vtz0+dk3pYLZNNXjZFUeyCYo7Y9vLs7IMVITpDAltCCCFEN5aTm0dTczOxUQMu631ms5kPPlvF2NGjmDBmNONHj1Jz5mRkZfH2Bx9SVFpKXkGBpfGm07Fz/wE1qLVwzhzuufMOu8aebdDJRafDaDRiNpvV4Ywam5tsRcFuqIbdC1aOcmjZDrd0NhSxM8NpzpdXqD+Hh4XZ34g7eb+CwoCIcCqtiYGzss+oM0Zerc4OAco4naX+HBbSz2mjtqNGTKjN0L2ONDS2JfYNCwmx20ed6X1iNpupqa1Vf+/frx8mk4n+IaFwwJqzq4PNtk0s3K9vX/veemo5lMvK02SrpUXPnfc/yFOP/kbNXQbOhwcZDQb69wsBLDO5VVXXOA1s2Q4BC+3Xr+2Fi45zi17fLkeZbY9BrYNxsRqNBm9vL2rq6qitrYPOT4poeb+1mW+8iqGIreW4nlLT0ik+X8acKVNYvGA+JpMJvV7P+cpKvvhmHd/v2UPG6dPo9Xo8PTyou3CBl998i/r6BoYMTOAXy5YRHNg265/eGiSwpdfr0Wp1ai5AWwZ9+/pIa7Oco2vYxcXF7u9XGtQym83U1FmuJU8PD/r1bbuGFbPZaZ0VEtxWP+Xm51+zY+Z88KO99uVuK49t6Keja9i/Tx9u6dmTugsXqK6pdVpXKkB5ZUXbumxyqHW2fq2obMuHFxbSD61Wa1df1tTWOX1vmc1Q/I6+Uy67vrK+12w288yLfyNmwADuv/du9Vha1uPguGo0hNiUvaM9UG9T1/e3brej9zl6EGGbX01jO/TWCdvvhB7eN67Hqrj5SPJ4IYQQohs7fuoUUZGRl5VfCywzq2VmZ7Nu0ybMZrPag8rNzY2hiYncdcdCwDILV4tej16vZ9vOXer7hw0a1L4Hg02jyWQycfjoMRYte0B9oquYTGpvGI0Ghz22bDnqIWF7l+2ojdbZRsMpay8PgODAgE4NTXN3c7ObQbKg2HmOnsycHNZ8912nG1SdKbeiKJy2zgwHEBjgb9dQtltTBw3YiLAwdUhNRzlOqm0aIEFBndtHthqbmu0CiCH9+uHu5kZkWFskpq7eeQ8I294RtsEh254dlmGJV9ZYbz02nT1GXl5eBAW2DQUtKCpyuJzZbKbkfJn6e+hFDWzb8l7JVPdarVbt6VBT57yhfSm2iby7g7STJ/l6/XfqzH06nQ5PT0/CQkL49f3LiIqIQK/Xc+JUJgqWZOX19ZYGe2J8vF1QC4CLAg8tLS0sWvYAh48dU/9sOwzMzb3jGSQvOdztKmJKGVlZalAlNKSfXeDNQac+y+o0GkKCg9Vrvbj0nNOJEVpaWvj3Rx9f1fBUh+XOtil3v2C7Ol9RFLshcM6uY09PTyKtk1DUNzTQ6KTOqq6uVnsbh/YL7nTP1FYmk4mC4rZrOrhvkDpkv3UfVlU7z5toO0w5ODDAfltttu1KT4PWZP9oOrc9GrAre0MHMxDW1LTV9X2DAp2ey057ol6GWps6q4cMbRTXkAS2hBBCiG7KaLQ1kC0AACAASURBVDRyKjuHAeFhl90TQKfVotFoOJGZafcEtdWIoUMJCgggNDgYV1dXzIpi15Ml0N8+kbKiKOzat7/t83U69EYjHu7uagO6dQZBtfyXuDm/kp44rTmYWn82Omi8n6+oZOO27YBlhqYZkyd1Ojhy9x23q3mFNmzdypmzZ9stU9/QwBvvvsfZs/md3ga7oSA6rcMGaHFpKfsOHQYsPZhGDR9u97ptc6ujG7yePXowc1IKAOknM7hQX99uGZPZrDZ2IvqHqrOFqeW12V/VtTXt3q8oCl999x151mT7c6dNU/PXDE1MZKx1VsrU9HSHOWT0er0a2Jo8fhx+vva5bWzzhF0qMGU2m9t6E2o06jExWIfLBgXYBzz0NkNrLjZmxAjGjhoJwKGjxxwe34LiYs6dswS25s2a2a7sXOU1oNNqCQ6y9Hy5msCW0WS8qoTm151GQ1l5OWk2ee5aubq60M/aO6lfcF8URbH0ZrNylPQ6Lf24+nNdfYPDa862V6jDYbO2++9S56HiIF/SRfXO2cJCLmYymfh202b194ljxtgN09ZqNU7rL7/evZk5eRIAJ06dYovNwwlbX2/axKFjx+yG73Xk4rUVl5S2W8ZoNKoz8gFMT0mxn9xBoyW/NTjcQf3r6uLCkvnz1d8zc3IcLnfi9Gn159lTptgFlmzrVxedzmGdcSj1qDpba3x0NGNGWHpx9uzRgxnW+rKsvNzhcESzWVGPnY/PLdx+61z7BezWd3mhrdbzsrV3alBggF3gyWw2XzS3ZpuePXqoxz8t45TDus1kMqn1yJCBCYy9qK5X7HqbdXyOtxgMl/zOq7auK9DfH08nM+oKcSUksCWEEEJ0U0aTiVOnTxMXHX3ZvVaMRiOKolBRWcXKtV/R3Nxs9/rxjAzOnT9PeP9QXF1ccNHpCLHpeXL0+Am7Rt+hY8fYub8tsGUymUhNP26ZRQrLsEK9Xq8GuRobm2hpaaG5uRmz2YzRaKSotNSuF1RVTS1NTU2YTCZMJhN19Q1q0miAluYWmpqaaLYZUmS7F06ePs2adevteqboDQbeXrGCc9ZhI3fOn0d4aKhaZr3BYNf4VBSFxqYmdf94uLvzxC9/AUBTczMrVn5u1ytJbzDw+dffkF9YxIzJkzrdy8m23J9//Q3fbduGwaaRqdfreX/lKpqss+EtWTBfTQZsNBrRGwy42qzLYDBgMBhoadG3a7DrdDoW3jqXQfHxnDt/nlfffod6m14QJpOJDVu28qV12OnDDz7guPec1eqvv1GHZ7bus+27drNq7VeAZQbKexbdrjbG3NzcePjBBwDYtf8AH6783C5Pi8Fo5O0VH3Ii09JQ/dnS+9QGcevxad0PGq3Wcg7o9egdDBUDS662OOt09rlnz1JWXm5Z9959+PXujb91ZkKT9XPtgg+KQnNLixog9XB3Z+ZkS56iA6mpfLBylf1xMhh46/0VtOj1DIyL5e47blfPAb210WfbKDUaDDQ1N6vnOMAFm54VigJNTU12w3J1Oh0xAywJuGtqay/ZkDQYDOp10tTcrDZUDQYjzc3NNDY10dTUbLcdXdmGLVspLCmx+5veYGDHnr3069uXoIAANECQTQ+t/ampdo36hsZGPl2zVk2GXVVdrZ6DWo1Gra9abOrF6poau/roQn0Dx0+1Bdlq6upobGykpaUFs9lMU3Mzp7Ky1Z6PRoNerfNaj4FWo0Fjc/X/55PP7HrWmMxmPvx8NQdTjwKWwGprkKV1u+2C9xoNDQ0Nar2q0+m4beYMIvr3ByzX6p6Dh9Rzxmw2s3PvXj5c+Tm3TpuGR2cDDRf1PFy59iu7/Wsymfho9RccPJIKwLSJE5k8fpz6muU6Nqo9Rs2Kgl6vp7mlxeF1HBs1gLvvuN2yjz7+lNNnztj1uDx1Oot3P/oEgMUL5jN2zGi7919cv67bvNmuXszJy2PFqs/V33/5wDJ1X2i1Wu647VYGJyRQ39DA6/9+125bzWYzG7ZsVYfp//aXv1Tz3hkMBvQGg30OP6Plby0teqdB+VibGVcPWI99YUkpmTk5drNvNjc309jcTIE10K8ADTbfVzqdjttmzCA8NJSy8+f52+tvqHUnWOv6rdv48tt1APz+kYfVoKmjsldfqKOpqQmDwaBeB7bXYtn5cpqbm9vdT9hq7bE1MC72siYrEOJSNJXnarvTsxohhBBCWB09foI//e3v/PvVl53m+nHGaDTy9F9fIiMrCzc3N+KjoxgYF4efb2+OnTjJ0fTj+PTsyfLnn8PLmqT8fHk5L7zyKnkFhfj7+TEgPIwpEyay78gRtu/axa+X/ZSs3Fw2fb+DW3r2xLdXL+5dfCeB/n14+MmnnJblH399ntfeeZczeXkOX//R7ZZhkZ99ucbh61EREfz9T8/g4uJCU3Mzf/7b/3AqOxtPDw/6+PoSGdaf+JgY0MD+w6kcO3GC+OhoZkyexITkMWrQZt+hw7z4j9ccriMuOpoXnnoSV1dXFEXhfEUFH6/+ku/37CEyrD9DEgeBYiY3P5/aujruW7KEEYMHO8yR5EhjYxM/+tlDACTGx1Fceo7hgwcRHRFhKfeRVI4dP8GghATuWriAhNgYtVHw3sefqEn7HXn68ccYNXxYu783NTWzbvNmVqz6nN4+PoT170+Any/ZubnkFRSSkpzMvYsX4efnh8tFDZD9h1P566uvAnDbzBmcLSggLjqa6MgIjp04yfotW3FxcWHm5EnMmTbVPs+UVV19PR+u+pyN27bTNzCAyDDLcKPc/HxKy86z6Na5LJo/Tx12Z8mJ9YDT7YyLiuKvTz/lcIhr8blzPL/8FYpLSxmaOJCI/v1Zs34DDy29jznTp6HRaNh/6DB/dXL858+exU/v+hFarRaz2Ux2bh5ffPst+w8foX9oCPHR0VTX1HAm7yyV1dUsXbKYudOn4Wm9dlr0eu5c5rzsTz7yMKeys/nKyXGMi4ripWefVo95Vk4uv/3znzvcZrA0+t/7+BO++m6j03W3mjd7Fsus29gV/efTz1izbj2jk0ZYZskcMoQhAwdy8OhRjh4/TmnZeZ77w+8ZkpCARqPBYDDw0eer1Ukw4mJiGJs0guqaWnbs3cvEscn0Cwzkjf+8D0B01AASY2NZPH8ef/jL83az4dm6b/GdNDU3s/rrbxy+Hhs1gAfvvZff/vm/nW7L2y//L0EBAZZchytXqUGR5JFJ1NfXMyghngD/AI6kpak9YR/68VImjxuLl5clL1FzSwuL73/Q6TqefuJxRg0bClh6kX7y5Rq+tSbLXzh3DhqgvKqKY8dP8qOF85kxeVKnh8aazGZW2JQ7aegQtBoNcdHR+Pn6ctha7oA+fZgxeRJzp0/D21ruA0dSeeGVV51+9rxZM3ng3nva/V1vMHD46DHeeO8/GIxGIkJDiY+J5lRWNmcLC+kXHMx9d95JXPQA9bprdaG+gXt+bnkgkRgfR8m5MkYOG0ZcTBQlJZaesEWlpYxOGsFPliwmOCio3cOipuZm1m3ewoqVq5zWl/fceQd9fH0ts/6azTz53PNOe5gBfPbOWw4TqOv1ev73jX+x/8gRgoMCGZqYyIHUowwfNIiHfrIUN1dXWlpauLOD4//5e/9Wj+eF+no++eJL1m3e4rDsMydPYumSJXh7eVrqOEXhvY8+4euNjuuN+bNnkRAdw4uvOa4vAT5/9512+QNNJhN/fOFFMrKyeHDpfdw2Y7rT9wtxuSR5vBBdiNlsxmAyY7aZTczdza3L3mQKIW6s46dOERLcl15XOCua2Wzm6cceI2pABF9t+I6sM2doOtGMn29vpk9K4a6FC+xm3gvw9+fP//U7ss/kkVuQT1bOGdauX8+g+DheeOpJEhMSGJs8hsiICE5n53DbzBn07xfMhYYG5s2aaZ8PyvrE32Qy4eXpycTkMQxJiLe8hiXBdevwirgBkZjRsHDO7HYJxDXQbvtbl+nh7c0LTz/FmnXrSc/IoLqmloiw/owfNYoJyWPw8HC3n/lPp2PB7NlotBq7xMZgP/uZRqMh0N+fX/70xwweGE9+QSFn8/Px8vZixODBTJs8CW9Pz8vqRWe76C09evBfLzzPmvX25Z4wejTjx4zGw92+3Bqtltvnzmm3b8Ey1M3Zd4inpwfzZs8iuG9f8gsLKT53jvL/z96dx1VV538cf90NcMsVERARBFTcFTXNtNIWc7J9sRxbp6lpmq2ZqWaapmmWrPk1S/3mN1s1jdNki6VZaomllEkqLrggyCayKKIiIgjce8/5/XHhei9cEFcg38/Hg8eDe+85937Ocs/yud/v53voMCMTE7numquZMmEidrutSVLLdx2DZ/3Pve1WkteksOLT1XQKCWHe7bcxOG4QQ+LiAo5uCdCtSxceuOtOhsTHUVhcQtG+fdgsFi69+GKi+0cxYdyYJjfavvtRw/b3LDMYLRS0j+zXjx8+9CArV6/hYPkRjh6r4uc//AFJo0d5l8Vmt3P9zGtOrK/69Wia+HX1sVqtJAyK5UcPP8Ta9esp2FtIYXEJXbt15arLLyMyPJyLk8Y1aeXWJHaLBdMwMEwTm93eZDvWr2lMTP/RQIEBUZH0j4wkMyeHwuJiYuqTgoFYrFZvIqOB77rzLGr7/53bNE1uvHYmt14/m1Upn7M7N5d3PlhKj+4XkTRqFDfOupZePXt6t6fD4eDOW25mysQJ7CksIjs/n/WbNjOgfyQPfPMub1feLt268uGKT5h97TWMGzECm93OtMmXMLa+/pvv8cg0TeJjBlLndAU8HmGa9OrVi27duvpvb4vlRBFwt9ubeLFarX7b4ZorLickpBMp69axPSOTXj16cNfNNzEyMZH4uEFNupzPvuZqbFab5/jR0NU7wMh0Xbt04Z47bmf44ATyCvZSWFyM0+kirG8ov/jxDxkUHd3s9zQQC/77z3VXX0XZwUNsy8xk8/bthPbuzb1z7uDipHH07dPHr+Wq1Wbj+pnXeOs1meaJ45/p+6CRIIeDiePG0v2i7mTlZFO8bz+Z2TlER/VnyqSJTJkwkS5duxAUIMnrO7Jit65deel3j5K6cSNfbUijzulk3OhR3HTdLKZMnNhsq7VOISFcf83VRPTrF/B4ecmECdjtdr8k85CEeBIHJwR8P5fb3ew5IigoiO9/+0HCP/iAffv3c/DwYebceANTJ0/yO674bn/f73TjLq/dunbl3jlzGDF0KAVFRZTUxz4iMZHrrr6KKRd7fuDx3WestpaPR1abjeuvudq7bRv2cQsELAEAngE3MnbvplvXrowYOiTgNCKnSy22RNoJ0zR5feFbZObkYgFKSks5UlHR7C/t8vVVU1tLbv4e4mJjTquwcHvmcrnI37uX+NjYtg6lw3O73Tz13PP06xvKow/cf1oJcMMwsNTfWBmGUf9nYrVZsdlsLVYCqT5+3Funy2az+d24uFwusFjO0rD2p6amro5nnv89GVlZxERH8/tf/ZIgu72++4UFi9XS+u42reSuL4pvtXoK8J/OtqipqeG2Bx4EYNaM6dw/9y5vCzRMzkncvhq2v4nnJvBkXSh9W138+JHvMHXSxd5RNRtGxjqV9eD2qYN1qvOeCqfL5bkps1pPOnhBa7ndboz6G7pzGbsvp8vF6wvf4sNPVvLA3LuYfc3V5/wz21pD17GGfdPlcnnr9p1svTd0vTZNs8nxyl0/quCpDo5wtjS0RANY8L8v0aNHD2rr6jANE4vFk+Q4myNQGoaB2zDOaH816ltsNXRXXvCXl+nRvTs1tbWeRBUQHHx24/ZlmqbnmFGffG44FzWnqrqaOQ8+BHiOr9++525vF3i328But51SYu9Uj5enyzRNXG43htuNrb4kwJlqiB3wnr/Pl8XLV/CvNxdy9RVXcN+ddzRpWSdyJtRiS6QdMYHKykqK9p0ownm+h9OWc6eh8GxLo8rU1tbyyxf+h11ZWQyKieF3P3/ya3XiX7kmhc/XpfLsE48TFNT6i0hpyuV2k5GVxeWXTD7tG2m/X2dP8QYnUPeJBmcrYXA6DLebgvoivp2Cg73ft04txHumGt8onw63T4uZ4OAQ77Y4X9//U93+BT5Frhv2hTNZDzar1X+UunPEcQ72TZvNxvlOiTjsdi6dOIEPP1lJTn4+tXV1X7sfQhprvG+dynGmpWnPxkhvp8vtdvs1DQ2p/y6dy215NpKvpmmyt+hEPcSG4+u5TL77spziDye+DRKDfGpnBZ3mej5fCWyLxeI5Zp3F49b5ir0xt2GwY1cmANMmX/y1uraV9kH9m0TaCYvFwt133M6fnvst995xe1uHI2eZYRj87Ne/ZcFbb7c4XfqOneyqH9knNz+f9B07W5y+ozlQX7T5TIY9F48t27ZjmibDhqg5vy+b1eotSNwwilRH4HujYWL6FeZvj6p8igM31+1Ezq242FgmTxjPpvR0Cn0GXZCOw2q1gk8dvroOUsAfPK12G7T3gQf0G3HbKywqIiMriysunUJC7KC2Dke+hpTYEmlHbFYrQXY7ET4jj8nXg9vtZk9h4Ulb4CUOGcywwYMBGDZ4MMO/pjUI1BLxzOXk59Ovb19Ce/dq61DaBZfLxfHjNezavdvv+Yys3VQeO9Zuawg5nU6O19SSunGj97mcvDwydme3u7hN0+R4TQ2lZWV+Nccqjh6leP/+gEPJy7ljr2+1VXmsiiUrPu5QSZELnWmaHD9eQ0FRkV/Lo6zsbA4dPtxuE0UNce8tKvY7j2fs3t0u43Y6ndTVOflq0ya/57Pz8qiqrm5Xx9evM7fbzRvvvkdVdTXTL52qFvtyTqgrokg71LhIrHR82zN2eWrlnETXLl345U8eY9vODEYMSzxvzfqlY2kYlW1I3CBsNp3KATalb2sy0tau7Gx+8dx8AN555Z+EhLS/79Ombdv5XaO4t+/KZPtvfwfAO6/+s90cBwzD4OnnnicrN9fv+b+89i+g+dHM5NyZPGECc24qYeH7ixk9bBjTp16qHw46AKfTye3ferDJ879+8Y8APPH97zF5fNL5Duuk6uoCx/2b+rif/MH3mZQ07nyH1az/vLuIJfWjYjZYvGw5i5ct9xvpVs6ttxYvYcOWLdw461qGJsS1dTjyNaWrYRGR82D7rl2tnjYkJIQJ48aew2jajkl90Ve3+5zUuumInE4nVqv1lGoTudxusvPyuOuWm7HZ1PgaPCOgPfm9R7HX36QY9QWhLRYLbsNst+spyOHgie896r25MgwD0wSr1YLbbbRp/Z9Abpl9nbfbpLe1Q31Rbqu1bYpvX8gsFgu3zr6Omtpa/v3W2/Tt04eRwxLbOiw5CYvFwhM/+D6O+uO+4XZjtVo9hb1NkyBH+6yXZrVaeOL73/Oevw3DwGqxeAq5A8HtLO5Rw4aRmJBwYuQ+n4LzbkOttc6H1LRNvL3kA26/4XpumX1dm9bglK837VnSrhg+IyJB0+GoG0/bMCywBdqkEGJ70DDKD3TsddAwulHDL83ne1kaasSci6KadU4n2fn5Z/U9fTWMcNNWBUFPhWdE8vM7Cs/Z4HK7yS8o4KJu3QgLDT1r72sYBqs+X0tiQhzRUVGtnq+wqIRjVVUMjdMvnw3GjhzR1iGclo4Ut81mY+LXNOnekdntdu669RYi+/Xjqefm88Zf/8JF3bq1dVjSAofDweR21LKptRwOR7tsSdaccaNGtnUIFzSny8U7Sz7gjhtv4KZvzPraD3AhbUuJLWlzx2tq2LhlKzl5eVitVrp07kyvXj25eOxY5v/5ZZ78wffp3PnEaFZOp5Nd2Tl8lZbG4fJyjlQcpVfPHvQNDeWqyy8jIiysyWccKC8nPz/fOyxK6cFDDB40iMFxg6ipqWV7ZiZ79u6lqrqaYQkJjBoxnKD6X8/r6urYmZlFaVkZFZWVDIiMZOSwRLp07uz3GVu27/DWFjCBA2UHCO8bxojEoVRVHycnP5+c/Hx69exBXEws0VH9z6jFSl1dHZXHjvF56lfszsvDZrUyOD6OYQkJDOjfv9W/iGzZth2n2+39xb2wZB8D+0fWx11NTv4esvPz6d2jB/Gxnrh939swDLZs34HL7cYKGKbJzsxM7rzlZor37WPr9h107dKFpDGj6dm9e5PEi8vlYl9pKVt37CQrJ4c6p5P+ERHEDYxm4rhxfgkQwzDYlL4N0zAxLZ6kXkZmJnNvuxXDbVBYUkLenj0cOXqUgf37ExszkD69erXYLaPO6SQ7N48dmZlkZufQtXNnoqP6M3LYMOJjY/zmTd+xkzqn09PqyDA4WllJ8f793HnTjaSmbWJvURFJY0YTO2AAwcHBOF0uqqureXvJB2zbmeFZXrebtK3p3ve0WCzeC6/i0lKKiks8L5gme4uLiYmKImnM6ICx19bVkbU7h60ZO9m5K5OoyAhioqO57JLJTfZPp9PJ1u07vC2mGkbfvGfOHRyvqSErN5fikn1UVVUxJCGBwXGDOuQFiNvtpraujnc+WEpkv35cevFEQupH3jFNk3+//Q5HK4/x6AP3nVJ3nZz8Pbz8j38SHxvLI/ffe9a6Lhw8dIg3Fy3i3rvuPKXEVmbObnr16EFkRPhZiUNEOrYgu53pUy9l6iWTCVbXKhFpBxx2O8899TPsDscpjWIpcjqU2JI2VV1dzR/+9ndyCwoYPCiO0F69OFZdzZdpm/jz3/8JgMVntBin08V/F73H+8uWMzQ+niEJ8XTt2pX8PQWsXb+B1V+s5aF75jFx3Di/BMqGjWn8Y8F//D77O/ffS9mhQ7y56D1qamsJ7dOH7Lw83v9oGZMmjOexh75N6aFDvLLgP2Tl5NI/MoLDh8s5ePgwPS66iGce/wmx0dHe99uybRtLVnzs9xmPfedh3l+2nI8/+4wgRxBOt4vDh8sBuPKyadwz5w66dekSYM20fMPtcrlI37mTf735FkX79nHVFZdjuNy8vWQpR48e5b475zBzxvRWJSY2b9vGBx9/4vfcjx9+qNm4Z105g3m33+YdptflcvHW4iVk5eR45x+akMCaL9fxf6/9i4TYWHbn5dE/PJzvPfgAg+PivAmFmtpaPlm9hlff+C9Jo0fRu1cv+vTqxZZt21m09EPunXMH1145w7scNTW1/PrFP/jFOjQ+ng2bt/DZ55+TnrGL+JgYMuqLR/fr25e7brmJSyZMxG5vekKtqq7mjUXvsWxlMhPGjaNfWBjOulpWrknh49Wr+dbcuYwbNdKbyKs6fpz5f37J7z2uv+Zq/vj3f7C3qIiQkE68u/RDpkycyKMP3Mfv//J/bMvY5VdQeenHn7DUZ31/46orvYmtj5NXNdkWv3jsR03iNk2Tkv37eeeDpaxdv4FxI0cyKCaGw0fKefO991m/aTPf+uZdhPfr572Q2JS+jd/96c9+7/O7p35GZnYOb773PkUlJYT26cPRY8d4Y9F7jEwcyoN3z2NAZGSTz2+vXC4XWbm5/OWV1yjatw+Az1NTuffOOcRGR5O/dy/vf7SM795//ynXoKmoqKCwpISuXbpwtjovOJ1OFn20jIrKSnLz8rhiyiWtms80TXbn5jM4bhA2NekXkXo2m63DtYYVka+3hh8XRc412+M/fvKZtg5CLkxut5tX//smKetSmXvrzdw35w7GjhrJmBHDuWLKJaxdv4HKY8e4dfZ13pZNJaX7efH//gpAt65d+OF3Hmby+CSmT5tK506dSE3bRHZePqOHD6dH94u8n9Wta1fiYmLoFBLMnsJCwNPlLHn1Gh6YeycPfHMu06deSkJsDGvXb2BvURHl5eW8++FHjBsxgscf/S4zZ0znkgnj2bJ9BwcOHuTAoUNMnjDeexHpdrsZM2oE/fqGkZmdDUDqxjQ6d+7MI/fdx1233Mx1V11FeFgY6zdtJm9PAVu3b2dk4lC6NeoyULJvH59/9RUAUyZOoL/PKIlut5sVn33GH//2D44eO8bzv/wF106/gouTxpEQG8unX3zBlu07cLtcjByWeNIbeMNtMGbUCML79SNztyfudWlp9OzenW/ffTdzb7mZ666+mrDQPmzYvIXsvDyKiksYP2a0N+HTo3t34mNjKCgs4nhNDX379GH5qlX86OGHsNmsZOXkcvTYMbp06cKYEcOxWCzU1Nby/Ev/y7LkZG6aNYtv3zOPyeOTGD1iOFMmjKei8hjvf7QMTJOh8fHYbDYsFgux0dHExwwkf28htbW1HDx8mC83bOCW2dfx8D13c9UVlzN10sUcPHyYrJxcUjem4TYMhg0e7JfsrKqu5tEnfkb6jp18/8Fv8c1bb2b8mNGMHzOGy6Zcwu7cXBYt/ZCIfmH0j4jAarVy8NAhxo4aSXRkJDsyswCIj40lr2Avv33q5yxdsYKq6mr2FhczJC6O+EGDmDJxAhePG8uXGzwjns2eeQ23XT+baZMnMW3yJMLDwogM7weAaZgMHzoU8CSuAKZNnuR9vcHnqV/x/Mv/y9FjlXz/wW9xy+xvMH7MaCaNH8+wwQmsWfslby1ewrDBg+kb2geLxULZwUNMHDeOyH792Jnlib1Lp87876uvcefNN/Ktu+dx9eWXMTAyki83bKBkfynHqqqYOG5sq7s31jmdGKbp7RoZ6C99x04OHj7M1MmTPPtfC9Oeam2hY1VVPPLTJzh67Jj3udKyMtZv2kzlsWP84a9/58ZrZzJ75tUnvfkrP3KEFas+JSY6GrvdTsXRo3z6+ReMGDrU2w1j7759rFiZTMyAKIJOo3VbyrpU3nh3EQAORxCXXzK5Veva5XLx5vvvM270aIYP+XqOmikiIiIi0lr6qVfajMvlIid/DwCXTZnil4AJCgpi3KiR3pv7Bnaf0b86d+qMpb5rod1m49oZ01m/ZQsZmVm8seg9nvz+o96bxPCwMMLDPN0CV3+5DoC0rek8//RTJAwa5H3P4UOHEh0VRd6ePSR//gW3XT+b22+8wZvA6dunD1MunsjC994nfcdOqquPE9Td0+S/obvYV5s2q1vf6QAAIABJREFUs2T58vrnxvD4dx/x67Y0feqlGG43L7/6GnkFe1m26lPuvv02/xtjn3XR+Aa8sKSE/7z9LgA/evjbDI2P94l/CDfNupb3ly1n3cY0brz2Wrr7JPgCORH3FhazDIBrZ0zn/rl3+XWVvHLaNA6UHeTtJR/w1aZNLEtexfUzr8Fut3trrhypqOD9ZcvJyMri8kunMHXSxQxNiPe2Qho0MBqLxYLL5WLBO++yKT2dSy+eyJybb/RrXda1a1du/sYsNm3dyrtLPyQ+NpYJY8dgt9uZND4Jt9vNV5u3UHH0KACP3n8/M6ZN9c4/oH9/fvzId5j/8l/YvHUrH3/6GeNHj2JoQgIAtbW1/OYPf+Tg4cPcdfNNTJ96qc+qt3BR167c9I1vsH7TZhZ9+BEJgwYRHhbGmPpaOLX1Lc3KKyr4aGUyD8y9i87BwfTvF86BsoMMiY9n9MgR3u6s1cePe9/fbrUyvpmuheNGjwKge7dubNyyNeA0x2tq+Hj1ao5WVnL79bNJqp8HwGa1MjQhgdtvvJ4X/+9vvPC/f+Eff/gfunbp4o09adQoduzKJGP3bpZ+8gnTp01l2uTJ3u/f8MShXDtjOouXr2BXdjZ1TiedWtECoKamhj//8xXKy4+cdFqr1cozz/++xaSraZo8MG8u8TExJ30/8LR+euWN/zJh3FgumzSJMSNHcuDQQUpLD7AjM5PPvljL2FGjuOPGG7zbpTluw+DV/77J56lfUby/lG9cNYM+vXt7ukp36UxNTQ2fffkli5ctp+zgIUaNGE5i/b7VWvtKS1my4sRITbl79uB2u1vV2uJYVRWFxSUMTYg/6bQiIiIiIl93SmxJm7FarZSWlQGw6IOl3H7jDQQHBXlbaVw8bixZObkYbsM7T59ePfnWvLmsTV3PjGlTCfYZAj0oKIiw0FAyMrNYv2kTLperSSsKh8/jkYlDm9S0cdjtdOnkqedlsViYfc3VTWpVda2vXeR2uzlUftivZRhAf5/WNQMiwgPW4rlsyiWsTEkhKyeXFZ9+xuTxSQzza3kR+Ibf7Xbz8aefUVNbi8PhYMTQoU2mSagvJr3/wAHSMzKYOunigO/VmNWny+fYESMC1v+addWVfLl+A0X79rHow49IHDy42ZvrKRMmYLVaCe3dm7f++Q+czjq6de0KQGZODh9/+hkA0f37B+wyGR7Wl8HxcXyVtokPVnzMiMShfnWjwsP6squ+y+HUSyY1mT8kOJhJY8eweetWjlVVkZzyOQmDBmGz2fh49Rp21re4Gjp4cMD4Y6L606N7dwoKi3jvw4948O553oSIYRiEh4VRXlFBl86duWb6Fdjtdp567Ids2b6DEYlDT5o8aUlzdQhM0+ST1WvYuSuzxdjHjxlD7549OVRezj//8wbf+9YD3oSJYZ74PoUEB3PfnDv8EkwWi8WbWC07eOjEqGcnYbPZ6N2rF2F9+rQ4nWGa7M7JZXDcoBZbJxmmSfQpdIO02WxMmTAew4SL6wvyxnSOIqxPHzZv387A6AE8/t1H6NTp5E3ibVYr1159FYXFJSSvWcOOzEzuuf02Ivr1w3Ab/GvhW3yyeg0AE8aOIW7gwFbHCZ46a+8vW05URAQ1NbXsP3CAmpoa8vbuZUgrisHvys6mU6dODPLpCi0iIiIicqFSYkvajsXC8CFDSE1LY/Gy5aRtSSc+LpboyEgGDRzI4LhBPP/LX/h1R3I4HHzjyiu5dvp0bDYbNTU1YLFQU1NDyf799LjoRJLJCHBDbvF5rm9oaMDkg6X+83p27x6wALvvzXigW/7u3bufdNEdDgejEhPJysn1tlzzTWyZhjvgfL6t3OJiYtidm4ejYK//RMaJxMWRoxXeYY1PqhUJjO7dujF5wnje+WApVdXVFO/f55fY8n2H7vXbwmq10rlTCHQ6UcA7b0+BdxTCnj0Cry+r1eodCGBnVhZ7i4tPtE6zWOjeihGfpl0ymdcWvsXx48fZsSsTl8uFYZrk+IxQ2Kd3r4Dz2h0OwsPCOFJRwbaMXZ5Eaf3+Yvosa9/QPt5ElN1ub7Y11tngdDrJ2+PZ/t26dmFAZETA6WxWK2GhoRwqL2fX7mycLteJlkCm6Y39om7dCPJJDgfS2lpUDoeDB+6686TTvb7wLQC+efttZzR4QmNWq5UJ4/xHmKqrq+NXv3+Ri7p25aetTGo1SIyL44VnniYrJ4e3Fy/huT+/xKSkJFI3baK2tpbrr7may6ZcwsCoqFOuabP6i7VsSt/G0z95jHeXfMD+AwcAyMnLP2liywSycnIZMuj06mv97fV/n/I8IiIiIufLnTffpJFd5ZQpsSVtxmG3c8nECeQVFFBaVkZhSTGFJcXe1y+/dAozp08nPjbGL7llAnuLi9m8fQc7d+2isLiE0rIyIvqF0bN7D+90gW7IfZNSIcHBLU7TKSQkYIsSv3kCJIPc7sBJqcZ69+7t/b+gsAjDMLyfZzbTYuvosWPszs0FYNfu3d4WS80pO3i41YkJwych1hyLxULvXicSQRVHK/0TZz6ro/tFgbtAGoZBSWmpz3QnTwQCFBadSGx5Pubky2WzWunZvTvHjx9n/4EDlB0+TGivXhQWFZ34/FacOPcfOMDBw4e9hdR912lonz4nXcd19aNlnoj99LgNg8Jiz3ekf0Rks9vMYjmx3+4/cICyQ4eIqq/T5htr94su4tSqWHUctbV1PP38C4QEB/Oj7zzkHezgVAQHBTE0IYHrrr4Ki9VKaloa4Gm5eMdNNzZ7jGiJYZoUFBZy5dRLiQoPJy4mhi++Wg9Abn7+SRPRbpeLrOwchg8ZclojDO0tKmZHZuYpzyciIiJyPtx5801tHYJ0QEpsSZu69OKJDBoYzdKPP2F3bh659a1RwNOqoai4hJ//6Af06uFJWNXU1bF1+w5+98c/AZ5aSkljRpOYEM/YkSN5e/ESb2HsgHwSUYFuSN1u94l0icUSsHi1T4+9gK3CWpu5uKjridEQD5WX+73mOxKkrwNlh7z/D4zqz+9+/rMWi1afrdHbfIUEn/g8p9PpfyPuE3bnkMAtgUzTpGBvofextaU6Sz6vHS4/cuKzTLM1eS2wWOjSuZP34ZEjFfTp1Ys8n1ZuzSUHLPh/RPmRihOJLZ/XwkP7njSM5rolNiSmGu+LrmaSo6ZpkrunAIDa2ppmWwo1XqVHKo56E1u+L3bu3PmUEzMdQU1tLU8/9zxWq5Unvv/oaSW1XC4XOzMzWbLiEzalpzOgfySx0dH07tmDZSuTWbYymRtnXcucG28guJkkeSBWi4V77pzjKY5vszF6+DDva/mFhbjd7oAtRb1xud1k7N7NLbOvO+WRHQHuvuP2U55HRERERKQ9U2JL2lRdXR3hYWE8MPcuDMMgKyeXHbt2kZGdw7adO8nOy2Nt6ld84+qrMEyTdJ+k1hWXXsq8O26jV33XP98WT0DArM7JbuJtNpu31pSJJ9HVuEaWb2sqtztAi5lW3mseOOSTpBoQ5XeTam3mTcLDw3A4HDidTvaVHiAoOPiMajn5aeVNclZunvf//hERzd5cO5pJuJmmScyAAd4EZEvJt5qamhOfFRnu0zLMbFXXSdMwKK+o8HmPCAzDIG7gQHJ8kqiBWCwWjvt+fkS474vef222008MbdqazpadO5l3262E+HQJbC7ZZrjdJMTGsjsvj/IjFc1uM4vV6r/cPrFbLBbv3lVXW3vSguWtacnXnhyvqeGZ539P376hPPrA/X7120zTxG0YJ23pZBgG/3l3EYuXeQaBmDB2LLNmXMEvX/gfJo4dw6Tx4/nXwoUsXracxcuW89ffP09keHiL7+nLbrNBfQwR/frRq0cPDh85Qt6eAo7X1Hhr0QWyPWMXAMOGBK6vdjKD4wadfCIRERERkQ7k6/dTvXQYNTU13Hr/t1i3YSMOh4Pg4GBGDkvkzltu5pc/eYxJSUkAbM/MxG0YHDt2jL//e4F3/ptmzfImtTya3uT/682FvPbfN73dAxvqOgHNFsVueN5C0xEJwb/4dsDWRq1oJmUYBhUVR72PI/r180sQGc3U2OrWuTOx0QMAqK2rIze/+eRMndPp1wXupFqRKHK73d6ucACR4eHNJrbMZhIiDoeDAVH9fT62+c9tGPUQPEk0P61IxJUdPsyR+vU8cEAUnUNCCAoKIsan6HbAVnf1z1dWHfPMGz2Azp1OtPzyq7NmgnGaTePchsFHn6zEaGX31eDgYKIHeLZ/eUVFs0mn6upq9tV39xw4IMovdl8Wi+Wk9aE6UouuymPH+OXzv2dIQjzf/9YDTQYl+OzzL3jkp4/7tQwNxDAMaupHspx76y389LvfIaa+QHzJgQNMn3opzz7xOBPHjaVvaJ9mW9i1hs1mI3bgif0xu76rcXN2ZGZ6umefRjdEEREREZGvo45zxyJfP/WJiU3btje5QXfY7SSNGQXU18ICsvP3cPDwYQCiIiKIDA/zm8flcvq1wjFMAywWsnLzvIktt08So9mETMM0FnD6JMK88/kk0ALd0Pq/beDP2F9Wxuq1XwKeGk1Jo0f5v0czyQSHw8Fll1zifbx2/YaA01UfP85PnvkVb7zzbsDXT1d2Xp63xciEMWMIDzt5N7xAJo1P8iaq1m3cGDC55XK5OFZVBcDEsWPp1bOn9zVvd8QWmKbJytVrvMnM8aPH4HA4sNtsjB87xjvdZ2vXBpzf5XJRecyT2Jo4Zoxft1TDMDhaWel5YLXQTM9RL7crcOLDZrPRs2cPrI2SFO4WkoJJo07sK59+8UXA6fLquysCTBw3zi8J4ruuG1oltsQV4DvQHh2vqeHHv/wVvXv24MZrZzb5fh84eJB3P/yQy6dMYWCj0VAbs9vt3D/3Lt597RVunX0dQUFB3hFcy8oOYpgmgwYO5PFHv8v/zn/O20X1dNhsNmIH+CS2WkhWu91usrJzGDRw4GnV1xIRERER+TpSYkvaTF1dHQAbt2whMzu7yet7izwtg3r17InNZmNI3CBvIuXg4cN+BcgB1m3YwLadGd7Hbpeb/QcOEBke7q1Z49vCyu02MAyj+ZZbbgPTtDR53TcJZ5ie+X2n8f2M9Iyd3mRcA5fLxSefrfZ2Fbvzlpu8NcQaWPzidPt9xpWXTePi+tZsH3/2mTfR5BvfkmXLKS8/wvXXXB1w2QLxLTie/Pnn1NZvnwZOl4uv0jZ5H195xWV+3ecAv2ST6X2q6fq9qGtXvvvAfQB8kfoVGzZvbTLN2vUntueVl0/jIp/uWRaLxS+D+OEnK5u0vNqdl8ea+uRh/8gIbrthtne9Jo0ayTdvvQWAVSmfU3bwoN+8bsPgrfcXU1tbR1RkJFddNs2/lpnFStG+fZ5/TTDql7O5fcnhsBMfGwtAYXGJN3GVu2cPob17e5NmDe/huyxOpxPDZyTDcaNGMuvKGQCsXL2GQwH2r/eXrwAgKjKC2Vdd6ZcE8e+uawaM2zclZNL0O9DeHK+p4fYHHmRfaSmb0rfxk2ee5ee/m88b775Hyrp1vL7wLV765yvU1TmZMnFCq1o7BQUFERwU5N1nKo5Wel9z1yf77HZ7s4NQtJbFYmFQ7EDv4/yCgmZb4jXU14qLjelQLelERERERM4l2+M/fvKZtg5CLkwm8O7SD6mtqyMzO4e+oaHYbTaOVlaycfMWtmXsYv+BA/zmycex2+3YrFbcbjdbd+zE5XJRW1OLzWrFarGyPHkVH3z8MffOuYMNW7YAnoRQZnY2M2dcwdGjlXy4ciXvLFnqTSiVHTpEZk4ORSX7GBARwWsL32J58iq2ZezCNE2qa2rYnZfH7txc+oaGsi4tjcUfLWP1l+uoqa0FPC1jsnNzwfQkTwBchsF7H34EQFhoKOk7dwIWOgeHsL+sjA8/Wemt3fPgvG8yY+pUbFYrpmny+sK3WLcxjU+/+MLbDe/I0aNkZGWxM2s3o4cP97Q4Gj0KwzDYkZnJF6lfYZomnTt1oraujg8+/oS3l3zAt+beReKQIa2+6d5fWkpKaioA5UeOkJufD3hGh/SN2+FwcNctNzP90ilYrVacLhf/XvgWq79cx+epqd5WbrtycikqKWHT1nSGDfUfwc1isdCtSxfGjhrJyjUpZOXmYLPZCAkOpuLoUb5Yv57/vvsebsNg7m23ctklk/1aTLlNk+0ZGeza7UmIlldUcLSyEqvFSpDDwa7du/m/117nwMGDjB4+jF8/+YRfEs5qtRIXM5DePXuRvCaFfQcOYBom3bp2oWBvIau//JJ3PlhKZHg4d954A0MHJwCwcctWktesIXlNCkUlJYAnuVG8bz9btm9n6/YdjBkxIuD6rampYeuOHZTs38/g2BhcbjfLkpOZOX06g+q7ub3+1tt8uX4Dm9PTOVCfbKuorCQnLw/TbRAZEY7NZmPYkMFUVVWxcctWCouLcTiCCO3dm/QdO0lO+Zw1a78kIW4Qv3r8p97RKTdu2crKNWtYnvxp/T4J/fr2ZcOWLWTn5RM3cCBvvr+Yjz/9lNS0Td5urFk5OWzLyCArJ4fRI4Y3u/+YwMbNWygu2Ufxvub/9h88yKHD5XTr2pV9+/c3O13Rvn2EhfY5aRKqpraWF//vr9Q5nXzn3nu44dqZ7C0qZtvOnezMyiJ1Yxq7srMpLSvjzptvYtyoUaeViOrVozv5BXuJjRnI2JEjziiZ1ViXkE4sWfEx4Bn5dPbVVwVc7q3bd5CyLpVv3nYrPZoZdVRERERE5EKj4vHS5p760Q85VF7Ofxe9R16BpwtVrx49mDBuLK/++Y/eljJ2u53rrrmaTiEhbMvIYMOWLd6uWL169GDuLTdzycQJlOzfz4bNW9i4ZSszpk1j7MiRrN+0id25eYQEB5OYkOBpgWKxUFFxlD0UYpom+XsKsNlsDB50orhyXW0t+QV7qamuYW9RMYfLjxARFkZEmKcbpMVioaT0APvruymBf22phEGxxEQPYPHy5bxY3z2sc6dOjB89mm/editRkRF+N7CGaVJYVEyXzl1ITPAkU9wuN8X79hM3KNY7XUhICHfcdCN9evdm+apVvPne+7z53vsAjBkxgse+8xCXXnzxKbXq8G2V88j991FZWcniZcu9o/B17tSJpNGjuO2G64mP8a/xsys7B5vVysCoKO/IhabbTebu7GZb+4SEhBATFcULzzzNPxe8wb/fetubMOzapQsJg2K5/aYbSYhpWk/I2ijex7/3XZau+IT5f36JivougpHh4dw75w5mzpjetGUZnnpVl02ZTKdOIbz30Uf84a9/874W2qc3s66cwc3XfYM+vXp5nzfcbjKydmO1Wj37EZ4E6q6sLEw82zsQu93OrCtncOToUT77Yi3PvvhHwkJDmTn9Ci4eN/bENjAMikr2YbFY/LZ/3t5CRiYmeqfrFBLC3XfcTt/QPnz2xVqef+ll72thoaFcP/Mabr1+tl8rN8Mw2LU7G2v9e5umidvt5lhVNbtzcjGBjKzd2KxWBkRGeraj1YppmJQeKKOHXz27ptwuF2vWreNQ+ZEWpwPAYuGDjz9pcRLTNOnVs4e3pVtzUjemsWHzFp5+7EckjRkNwGPfeYg//u3vbNjsSXKPHTmSKy69hCkTJ552S6dOnTrx5I9+gNViOeutpbp27UL/8HCK9u2j4uhRDpWX069v026+O3btosdFFxEe4DURERERkQuV5dD+ivbdx0S+tkzTZMu27YwaPgyLxUJ1TQ1FxcXY7Q76h4djt9uaHfa+praWuro6du3OZmTiUGx2u3d0QLdheLo5WiwE2e3YbDZM08TlcnlbWThdLqxWK6ZhYLPbcdjt1NXVeW9YDcPw60oXHBSE0+n0vm6aJqbF4hmJEU83PofDE2tlVRV3ffthAG6adS1333E7NbW1HC4/wqHychJiY7HZbTgCLJvT6cKsL07vidWCYRpY8NTdajyPaZo4nU4qKivJzssnol8/+oX2ISQk5JS3x8YtW/n1i38A4Kkf/oCksWOoq6vjcPkRDpaXM3hQLDarNeA2qa2r87aoajzKnmGaJx250eVy4XK52FtcjNVioX9kJI76bReI2+1mwbuLWPzRMgDefe0VTMPA6XKRX7CX7t0vonfPnnTu1Nk7ymVLnE4nVdXVFJaU0POi7oSG9gm4rA3ru2E/cLlc3mkMw8Bms7XYwqjO5aK2pobcgr3ERQ+gU6dOftM7XS7M+u6xfuvQMHA4HE1aCZmmidPlouLoUQoKi+gfEUGvHt2x2+1Nki+NY2/4DoBnX3PY7dQ5nf7dIjmRQLSfZNkAamtrz2rSp/GIpIHsLS6mpqaG+NhYv/XjcrkoLTuIaZr0De1z9kYPPQfcbjd//sc/WfPlOgB+/Mh3mDrpYr9pDMPgqeeeJyQoiJ//6IdnNBqniIiIiMjXiVpsSZuxWCyMHTXS+7hr584MiY9v1bwhwcGEBAcz0ae1SwOb1UqnRokdi8Xid5McKDkT1GgEtVN9vcGR+q6O4OmeZbFY6BQSQmR4PyLD+7U4b0NyrLUsFgtBQZ5uaKG9e5/SvE34tIAyTBOrxUJIcDAR/cKI6BfWwoz4jT7XXDKyJXa7HbvdToJPa7mWWCwWKnzWs9vtpnOnToQAI4clNj9jMxwOBz26dz9pq6SG9e0b96kIstsJ6tqV0c3EGCjZedJ4HI5Wbf/WxN54FMFTFRygZdy51lzhdrvdftLvW3ths9mIGzjQm9jK3bOnSWLL5XKRnZvLDdfOVFJLRERERMSHro5FzrL9+0tPPlE7d/aqB50bpmmyz2c9n816RyJtISE+zvt/VnZOk9Eqc/L3UFtX59dVWkRERERElNgSOWsaRli0WE901zINA6fT6S2o3h554/ZJDuXs2dNu43a7DW9LOO9zLhd1Tmezo8mJtHfR/fvTuVMnADJ278bVKLG1K3s3AIn1AxmIiIiIiIiHuiKKnCWvv/U2Wdk5fgmXdWlpZOXmYRgGzz31s9PqpneuNcRdeeyY97mUdalsz9iF2zCY/4ufn7S20vlSW1vL0/NfwGKxkLF7t/f53/zhTximyc2zrmVi0rg2jFDk9NhsNuJiY9i2MwOAwuJi4mJiAE/X4N05uQwaOJCgNujuKSIiIiLSnrW/u2yRDiw6ytPqYkh9t6La2lqK9+/neE1tG0fWsoa4JzAGE89okMX7SzleU9PWoTURHBxEbHS0dx2bwMHDhzl48BCWszxancj5YrVYiBs40JvYysnP9ya23C4X2Xn5JI0Zjb2dJJlFRERERNoLJbZEzpJ759zh99gwDCwWi3dUufbS6qmx5uI2TBML7Svu4OBgfvmTH/uNvNewfg3DVFFt6bDsdjsD+vf3Ps7KzuHqyy/HYrFQevAgBw8fZkhcXAvvICJy7jSULTBNs0nrc7fbjdPlwoLnWNaerhtEROTCoMSWyFnSuIB5R7mway7u9poiarxeG+JXYy3p6GKiB3j/356ZhcvtxmG3k7U7G4DEhNaNGisicjY5nU5WffEF6TsyCO8bypC4OJLGjAaLhcPl5axP28yewr0cLj/CgKj+XJw0joTYWL8foURERM4lnXFERETagfCwMG8B+QNlZbhcLkzTJCsvj76hofTu3buNIxSRC41hGPznnXf5z9vvctUVl7Fs1af89k9/Jjnlcz5fl8qvfv8/bNy6laj+kUQPiOL9j5bx02eeZcuOHW0duoiIXEDUYktERKQdsNlsDIiMJDMnB4DsvDwSExLIzd/DkLg41dcSkfPu4KFDrPriC+67cw6jExMZNHAgOzMzWb32S/YdOMAT3/suQ+LisFqtGIbB+rRNFO3bR8qX6xg9bFiHab0uIiIdm1psiYiItAN2m42o/pHex1nZObjcbrLz8hgxdHCTbsMiIufami/XcexYFZdePJE6p5OKigoAcvfs4eF75pGYkODtcmi1WrHaPYms8iMVuA2jzeIWEZELixJbIiIi7YDFYmGgTwH57bt2kZOXD0BCnOpricj55TYM0tK3MWHMaIKCgjhQVkbRvn0A3H3bbUwcO9Z/erebgwcPAdCndy8l40VE5LxRV0QREZF2InbgQO//23dlMm70aPpHRNA/vF8bRiUiFyKb1cqvfvpjrDYbFouF/QfKvK+NGTWiSXH4on37qD5+HIB+fftiU/F4ERE5T5TYEhERaSfiYmO8tWrcbjd7CgqIi41RnRoRaROd6ge0MAyDTdu2ATA4Lo6+AQazSN+x0/v/iKFDNSqiiIicNzrjiIiItBM2m41BA6O9j7Nyc4kfOFA3iCLSppwuF1vrRzqMHxSLze7/27jL5WZHZiYA4WH9GBQzsMl7iIiInCu6UhYREWkn7DYbMdEnEltFJfsYNnRIG0YkIgJFxSXs218KQHxMTJNuhoePlLNjlyexNXbkcIIcDkzTZOOWrZimed7jFRGRC4sSWyIiIu1IfEyM9//+4eH0Dw9vw2hERGDj1q3e/xMHJzR5fdPWdI5VVQEwecJ4LBYLOfn5/PrFP1BTV3fe4hQRkQuTElsiIiLtyLDBJ1poJQ4Z3KTLj4jI+WQYBlu2e7ohxkQPoGf37n6v19TWsnP3bgBGJg5laHw8hmHw3ocfcfmUS7BpdEQRETnHlNgSERFpR/r27cOAyEgAhibEa2QxEWlTLpeL0rIDAAweNKhJst00DKqrPaMhhoWGYrfbSV6TwrZdu5gxdSpBQUHnPWYREbmw6GpZRESkHbHZbAxN8HT1iR0woI2jEZEL3aEjRzhcfgSAAf0jmyTbrTY7Q+LjAMjds4c33l3EX177F3fdfDNxsTFN3k9ERORsU/8GERGRdsRmtRIZEc6ggQOJ6NevrcMRkQtc7569uHr6FfTu0YMZ06Y1eT04yMENM6/BYrGQlZMDwK+ffJyh8fFqrSUiIueF5dD+Cg1VIiIi0o643QZut0s3hSLSLjidTiwWC/YWav4ZhoHL7cYCWK1WbDbb+QtQREQuaGqxJSIi0s7YbFZu89CsAAAgAElEQVRsNiW1RKR9cDgcJ53GarUSpJqAIiLSBnT2ERERERERERGRDkmJLRERERERERER6ZCU2BIRERERERERkQ5JiS0REREREREREemQlNgSEREREREREZEOSYktERERERERERHpkJTYEhERERERERGRDkmJLRERERERERER6ZCU2BIRERERERERkQ5JiS0REREREREREemQlNgSEREREREREZEOSYktERERERERERHpkJTYEhERERERERGRDkmJLRERERERERER6ZCU2BIRERERERERkQ5JiS0REREREREREemQlNgSEREREREREZEOSYktERERERERERHpkJTYEhERERERERGRDkmJLRERERERERER6ZCU2BIRERERERERkQ5JiS0REREREREREemQlNgSEREREREREZEOSYktERERERERERHpkJTYEhERERERERGRDkmJLRERERERERER6ZCU2BIRERERERERkQ5JiS0REREREREREemQlNgSEREREREREZEOSYktERERERERERHpkJTYEhERERERERGRDkmJLRERERERERER6ZCU2BIRERERERERkQ5JiS0REREREREREemQlNgSEREREREREZEOSYktERERERERERHpkJTYEhERERERERGRDkmJLRERERERERER6ZCU2BIRERERERERkQ5JiS0REREREREREemQlNgSEREREREREZEOSYktERERERERERHpkJTYEhERERERERGRDkmJLRERERERERER6ZCU2BIRERERERERkQ5JiS0REREREREREemQlNgSEREREREREZEOSYktERERERERERHpkJTYEhERERERERGRDkmJLRERERERERER6ZCU2BIRERERERERkQ5JiS0REREREREREemQlNgSEREREREREZEOSYktERERERERERHpkJTYEhERERERERGRDkmJLRERERERERER6ZDaTWIr8/V5zJ47j9mvZ7R1KB3fjgWedTn3Id7JOZM3cpL538e4Ze79vJxacbaikxac+ffgXG+zMpKf8cT47Mqy8/zZcqouvONqS/unSAvcZWxb9CJPPXJ//fnzfh55bD5/Ty1p68jatQvvGCOUreLZufOYPfdZknWYFa8MXpvrOR68tuPcfIKON2dZWQrPPTCPW364iDx3WwfTXnSc68jyVc96vg/PrKK8rYM5Recq9naT2JKzKCyCJAAi6Nn9TN4om7RVZdThJDmr+KyEJudaW24z7S8i0gG5y0j+3RM8tSSdbRVOgrqFEhXipLA0GxyhbR2diIjIWVeenkJqDdSVZZB7uK2jkVNVmOdpvRI2eCA92ziWU3WuYrefxfeS9iKkC10AiCSs15m8UTxJM0JZsgquHR55VkKTc60tt5n2FxHpeKq+fJWXs5zgiOPR3z7NlRH1L9RUU+dwtGlsIiIi50LPUdOYFJLDtvDxDDmj+0U5/0oozPL8lxQb3bahnLJzF7tabH0ddevuyX46HATZzuSNHAy560UW/etF7ks6o6Zfcpbk/fehkzTbbMttpv1Fzq2T7//tQ0eJUwCq2bbe060l9voHTiS1AEI6n+E5tIPLWsi31N1MRC4AF+R5O3QaT76ygIW/nknUBXKu+9ps58oCMksBookd2MF+gDuHsSux1dGVreLFJ17kjZXpFFY4658MJSoaiI4grP6ZuooCtq1cyIu/eJbkojaKVc6MO4e0tdVtHYVI2+go+39HiVPqVXHsiOe/kTERLU96gclLS6G0rYMQETnXdN6+MHydtnNhNqkAjniiwk42cTtzDmNXV8SOrrSElKJ0WJDOOwsgqFsEk5ISoQawZpP8lzTW7cgmr9LpnaXnIaB/m0UspytnI8mVQEc7gImcDR1l/+8ocUq9MgoL6v+9QH6xbpWv0w2AiEhLdN6+MHyNtnPh7nTqABLjiWrrYE7RuYy99YmtmjT+/sBLLMPBDU+8yn3DA0zjzuGd7z7LG5VA3Dz+/cyMgAXBylc9y92v50DYLfzlxdkBF6oqP4W3Fy4lJbuMcifg6Exs/3guu3EeN4w9STFXdxmZny5l8YqNbCqrpg7o0j2UkWNnc/tt04jtFmCeslU8+8MFpPnEXb55Ea+9s4rUomrqcDDp/j/w5OWNulhVlpD2yUKWrM5gW4UTcNAzNIKRl9zCfTeOoucpXSiXkfzMY7zcipEMb3hiAfcNhyprKDeMjWZbcTVQR2lpCSmrG0ZxSuWNfAAHUWGhOICukYmEOaqBzqcUT9K8F3n6qqbrvXzHKhYvXcGmvDIKazzPdekeyqBBiUyaNIPLJkTT5VTWgdtJ6a4UklemkJZbQl59K7SgbqGMGz6NWbfNZuSp1vJt2LbRc/jnb2cSVpZB8tKlLEtrSPg5iAqLZ9z1c7j9kvp43dXkffkBi5PXkZZfQVVDDEkzuXH2DIYEiKF85bPcvSCnxX3fLx7iePSPT3PlyZbncAbLFi7gjdQSqgByFnD33AU+E/i+T0vbrOG1+ul7VVO4YTnvLE9p9TK27OT7C3B635kdC5g9fxXMeIKl9yTWb5+FvP32OlLr32PuL17ltsEnC7HR99xdxrZli1i2Or3RsaKFddAQCzN44Y15DGn2wzJ4be58lnDi+9okjnO8TzZWvnkp73ycwrqG42pId0YmTuOG264lqf9Jjgnn87jq65T2/0DLvIjXFp/YxwnpTmzsaG6cM4dpMS0sc0UBaSnLSU7JIfNw/frCQVRMIpOuvIUbL2l0bDvDOANylrFtxSKWpWSwrbQ+/vpzYdKlM5k1PbHp98Xd8L1OZVuRz/kzfhRXXn49l02IaOaY3PD9jebRF3/NlX1at72r8lNYvHgVqRkFnnOAozOx8eOZNXs2Vw5veWEbzh8pPvtja7bNWTnvVBSwbf06kletIqX+qSXz57HEO0Ez26vhu7o523t+6tI9mqTJ05h1VfPfw8zX5/HTVT7HgsoCUt5ZyDupGZ5lCJnJC6/M8RxPGo4xUx9j6YOjqCpKJfmd5ST7ruPG10MBj2XRJF1+LbddPYmoQN/PQNwVZH78Jq8tTiWzBiCHl384j5d9Jmnp+H7er91acjaO937vdx62/fk8N5yL661WqitNJ3nRCpIzsv0+d0h8EtOuuZYrExvOCS2cRxtpWM/e64QGrTkP3fsogxb9gTcqYdKDL/Pk1JbKKTjZ9reHeGqtk6Ap3+PNh5II8n35rN4XnFBXmkHKqhWkbN5Dru/5IH4UV15zC7MCfr8aXfeFBr4OiI0d3bpjdqPz6VnfV8rSWfKfRf7HuhaXr6lWHS8bnO55+1xfx56v40BL17ON460sIGXpIpLXNV7m1p1jTut833BO+GTriWsgHESFRRCbOJ5pM6aRFN2K0idtdR3JKe6PrVZNUbanRkBsfHR9Xe2Tx+25JvDfR/MWPsQPllU3PW42Xo61L3L339Kp6zaDF/44jyEhPq81Ou979rvZzJ0zjagmq6d1sZ+u1ie2QhIZOQqWpTtJ3Z7DfcPjmk6TX58JBchJY1vFDKY12d+c5GbVV8JPSgyQ1Kogc8FjPLWyzJPN885WTV5+Onl/eIzkpIf5zQ8mBU4clKby8m//SnKj0R2qKspIXf0qqWuXcttjv2bu8GZ2xMpqjlFN6euP89NVFX5xh4X6L0xd1kKemr+CTCd+05WXFZCy5EVSPk7ksd8+wbRWZ4aD6No7lNjKZl6uOVJ/AeAgqL4TaZfEmdyXONNnomoyfWKPmvEEf7wn0f+keza4y0j5/RO8uMPZ5KWqijK2bU5h2+Z1FDn+xreTWtt/toAlP/4Fr/nU8+jSPZQw4wh5lWWkpi4iNTWZG554nvua234tvn0JeekLeO5Pq8hrtM0KSzMo/McvSF43jz89EkHy0y/yTpn/stVVlpG6egGpa9fx6PynufI8ZfzLd6wiOc9JWDeH54Tm6ExsL99DQQ+6ntKFUgGlpWWkvNp0+3mXcfUHzHr0N3x74tmtlXXG35mqaurcZaT87glPsWevaHqeSuHLnBIKS1N5o9ljxQJS165o+VhxNpynfTKIMtL+9ijPrq3wf6Gmgm2bl7Jt8womzXmax2ZFBz5WnMfjamOnvf+7S0iZH+AYVVNBXkYKL/5iHctueJLf3BLXZJmr1r/E3S+nnTgHOToTG+agtLSCwvx0Cv+RzpKUefzlZzMIs51hnM0I/F3hxLnwYASTpyf6nwdLU3l5/iskN9pPcFaTl5HK3zNS+ddHM3nh53OIbXa3LqAwO5035r/UZH/zbu/UVB777fcI++QXgc/VGSm8nLGO1HnzAydA3GWkvvwsz6U13R8bts3iqx7jhXmNzl1n8byT+clLvLYeoDNdaLjoCyXMe7HWeHtVk7foOX6+pKD+4tr3swtIWbGAlBUfcOVDT/PolOYvVp1VTihN4dknFpDmuxj9Q5v+iFxQwrZVK3ju9Qz/z/ReDz3Bmqse47dXl/DSzxeQWhMgriV/JeXzbF6YP48hrTmUVWwl+bMc6rp1JqjGc9PfM7QHPX0KV/QMCXSUaONrt5ac8fG+bbb9uT03nOPrrWZVk7fwOX66rMB/P6mPedvmFZSGjfdJbJ1FLZ2HwkaTNLUzbyyrJnXdVqqmTmv+hqsyjeS1TqAzt13un9Q6+/cFHoVLHuORRT4bK6Q7sd2cFJWdOLYvb/F6P4fCkjJS/9v8cffljHUsC3TchWaPvXU++8qsRx+mfzRQ0Hjm1ildNZ8fBDrWNSzflO/xaFRLH9DMvuVzDHp7+Dz+9JMzO2+f1+vY9nDfsqeEwqx0Xm52mf9KyscpzS/z6Z7vS1fxXIDzmmfZCygsLSBlbTG/+evDjAxpPI2/triOPJ39sfX2kJsB4CApIUAJheoClr30LH/f0fgazrOPpuY/zL9/MokuQM/eEUAO7CmhnMTA5+eaDN7+bzp1OJh21/UnklruCtJefZb5n/uf9z373aukppfwpz/OIdZv+U4S+xk6ha6InRkyKg7ScyjN2kM5cU0WPm9jCqU4iOrloPBwBmnbq5k2pdEJ0Z3NtjQAB5NGBEiOpbzCU04Yd8MT3Hd9ImEN16buCvI+/is/X5hBYdorvJOW1PTCtTqD1+ovXKKS5vHYvTOIbTg3OstI+9d85n9exjsv/g9RLzzNtEDXH6VlZK78H/6+qpohVz3MozOTiAp1UFddDcG+061i/vwVZDodDLnqezw2Z9SJWCtyWPbX5/j7jgxe/O0Cwv6fvbcPavM8E71/p36l9UAYjLcadSkMjiKOCeNCkyjNkddv1GyFu5i8Np4y9LBmSRMncTwZXKdsffAmZrvYrlk3NF4zPo7bxGkoKW8YOsbeYFqLbqqMa71OVKcQj4IHRTGDq42OTo01FI0rDT3vH88jIQk9QhISYO/9+0s2+rif++O6r/u6r4+j0ZZNZfIxNndijPu3OYOVen0DNQpG1cBIL53DPtSbmtg13UvX8El6DJlWTKQqUp1Xg7DWSFvr0xgKI8Yi6Mdz7RIWa5CND6SSFK4Eo7kE+2cm6s0PU1aUP5e4d3qCwWPtnLrmY6DHSk1HdRqepFaO/AByN2zl6JPbKAsN2KyX0beO035hgpmrvex9AWZu51DV9G2e+po+fPMf8Nh44/BJBm866XrDysbWBIpPBil4dA/HHo3wCCup458SeYQtSJDBY63MzBZS/53d1FcWhvs54HFw/o1OTl/1Mdh1hKIvdlCTqbDVTKwZ73WsP32Trms5VDXspv6xUrQ5KgLT/uScEMNYaW8dhjUGmr/3BKZ78yP6IDTOXvp+dB7T8bosuvku0Zy0dtMezKGqqY3Gx/QUhPo96GW0V/odW287b3y+i12PxHTkUsrVOKQ7/0f7jmNnDbXP7pm70Yxp89jAa1g2dlATs7fmVm5kS2GQtY9vw/gVfYSxA6ZsJ3nphI3Ja70MfGgK70MZXafhtQK591bT8vQWKkLy8LYfz40PsH9WGq0sRIyTusRM2/MNVITk8myQqU+t9JzoxTIxxL5OTZRRLpaBVzthdTlPte5ky/2a8NqYutLNka5hxm476HqxGW4H0cabE6+3037Rh737dayPtMZccPkZ+6ms5K410LznCar0+eF2et7v5siPrLgudNJR2EGbeW5CZXLfKavv5Fg9RHqEVO3uVPQI8Vx4mX0DEwTIp6rp29Hr6Lab0Z+f5MjQBJZX28ldo7zneiatnH6rG3uegV3P1vHV9YXkfi7IzJ+Yv3YnennpJyp0j+6k5ZsmikP9OD2B5fWX6bL7cF3o5On3gszMllD/nT3UV86N14zzHJ2H+7HfHKbzzEZ+vCOOzhXLWhPNnaYIz+ISGv8xCU/D5dbdEjduUfJ+WcY+63tDtvWt+HguvCwf9FRUVD/NrscNFOdLzxaYdnPjQzseXRLzNK0fT7wPqdduo2ywl7GrQ/zabZq3L4SY+dAqeXnmmTBENjUr5wKJ4q+YqfitG9N2M4YvlczNv1k/rn97mX39TiaHu7Fsnr+fhTh/rJUB1sTVA0Iy23XhJOf/7y5q7438ZJCxt9ol2avSUPtsK41f0UTpjZbek5zq6kSdZh7ogKOb9p84mEGF7tGn2f+kca7vgl7GLvTS1XuclxJUqQ3PLVUJ9c2xsnCI4x292K520/5WIa/IRpSU9+0l12NXwLnF2csLHUFURdUc2l03p1cQscfcdtDVa8Ow1xjz/enu9z6sb0hGreJNu2n7ljFKDwv43bguWrEGH17QqAXLo0emMx+TxjMhGxnLuS92w5r1Yuls59S1IKwuZ1frbmrkPvcMtfP8W04CIxYueY1UaaBA+0XAKRv+idsnnl91MzANFG2j3hjanP2M/fQl2t/zzZMLMyPd7PvBMJM3h/n1xw3oIvWqRG3PACkljy8o/zI6AOcIY/O8itx8bPcD5dTXb0QNWG0j8263+HQEWxDAQEW8vSsYpGJHB/vrIhQjgFX56Gr20GJUAUEGL4/Mu+1xnT3JwE1Qr2+irTlCMQJQaTA820ZLpQqCTrp+bp/3eQkrXd0TVDR1cLTJSLFGaoQ6J7I6kg9bdy/2IBSbWzjUVBnd1nw9Nd/dT+Na4OYwp3/lZrGEDFaoKmnZo7AYfTa6jlnxUMiTj5up2mpGi4+BzpPYfPE+kD6TLqmKlOHxuujDBYAqB+0GM43PV8dYaRdGW3OQQzvNVJTkR1ejyiuh5rkGDAA3PmA03SpNa6s5/N26uc0BYJWGih27ebIIIMjMbTB8q43mzfqocBa11siu52UF76qdUSXPujuAmds51Lbsp/HBwqh+VmvLqf1uB816ADdv9Nvmr+G0yNCacZ6jaxhqW/+F5ppytDny+sxLtXpZkMBqE22H91Clz4/pAyO79tVJLtk3bYxmu9jCEszJQDCIYYf0+YLIfldpqGg6yNGafCDI4FvnmYz57NLJ1cwSCKqo3XuQpx6NCUtTaTDsbJH71o3l/ThzbbWBp462UPtotFELoMC4m2azvA9dHc9CyyWFzh6U+vzY9xowRMrD1Tlo9SZqNkVrUaFxYm01R9ubopRPVqko0JtpPryH2jwIXOum8xeJ9qV8Gltbqd2giRqfggebaN4m/W7gdhDWN3Fob5w58cy3acwDkC64onCepWvYByo9zS/umVNy5XZqjTs5vLMSNUHsb/UzGnFbm619Z0F8Nnp6ndJt5XOH5q+j1YVU7DjIsR16wMdA55tR7Y7EPtDNAGaOduyhZkMhuSpglYrcnPgHNnXl0xx+NsKoBZBXQtWzT1CjAkk+5FP/3TYaH4wer1z9VlqelG7BPBc/wJV+DyzMsutuCRuXvrxfxrHP9t6QdX0rFp+V091SXxqaOji0wxg2aoGUI1b36FaMWcsBu8A+VGigStZ9rB8qyUcf9kuSHCp73BQha7J8Liis5tDBnVQ9WBI9/1bloKvdzS653b+9qjxYoT0xnh5geGY/u4qk5/j1SEzb3MOcvuADVNQ8d5CnjJp5emNNcxvN+iCB+c60SeDG0j3MJKA27ubos8bovlNpKKvZQ9sOPYGgwg+E12m+rNvGysJq9rdWUwxMXujGktaxbJn02GU/twQJlDRw7HsN0XoF0h7T+pwRNRCw/46PY2Vf2vv97/nkKoCe2m8Y5+lh6pxCyjY3sKsmS0ZwmbT1yCzPx8D164wCaEspigkBdfW1S56AKj3Nh1vDRi0AbXUdWwBwMhmqDJObI80Pz6345z2/nYF+N6Cipm6ueubMxZO8NOwD8qltiZYLuZXV1OoBgtxwR8ukRG3PBKlVRSwqZ6OsrH4c6wl6w47FA5SUU2YopwpgZP4kn3KNS1V2Kr/M/XGtrEa2PKZ0HZdDhcEgvXR7o0t1zjr49QUfkEN9vdJNdD4PPSp9PnDZgWtW4Wc2NNGilB8IwPsBlpEgUE79dgUr6yo9xr+RvmPsA8fiyoqGDVY51O7djTGeh/asF8vx17AGgQ3VfLUIWG+mXg8ER+g8PoxH6XnT4XOScJu87k5DyUwTTSE6FUQtyBQxPG6Of+hZVch95bLAVpmoV5qD+nLZo2487TasCPTb2K7kxbdKg+nx0EZ1KTMGvAyuGW31tzPigaj7ejUVSl9TVI4hD8CL5w+L/qmELM2cTCRXQbelTvqOm8PYInP8LaVczTTaLVRVKs3xQir+m9QW1/9K/dSmLSqRXlx3Z75ktPcDrFcBNDQ2JumiHh4nqNlRp2zYyankmw2SoWPsHauyoUO/TT7gzaf4v4bWr4ot2xUuWVbpKXtAejk2Ga2xjV2UDjBa898phkXkGkySDhG0Y4+cj8ux7wBTly3S3qrdRv0m5RAp7ea/kwx6QRsWu1Li9Rwan08yLBAVW6pjb8BDX1NKmU5+rd9GTXl840ju+koqAKbdeLJ6GbMCdLcEpCvvl2/sl1lfyYC+FcvUZatUCUtbzZNfW8K9IJKE+5CGjX8jy8d/t8+75AHAfYnBqwCFmB6IuFxY6nNBTLuLpcHC7k6wny2wJ94v/y12T5x8f5gxAO02tsR6dIc/r8FUHT/eZEFu2OVq7Rqe3GZQ9FzRPraFGoW/hdfphjq+qaQf6k1s0cJCBkBFlkmPXQnnlppqZV1EXf5l+fvdTMU4USxmv5e8/9xMupexiEmaemS25+MN14j0Yn1JtIexd5ieQckIbdr57fl97vPKlY5LKA5Nl3yN/B3X8cSE6gO4zr7JYBDQN1Af8rYOhyZCcU2cuTzrY0qea0Xa6Hmp2PYMkZphCz0Vj0i3braPojOcT9olJVm7oRStnI8LbPx2JNK67mdsRPqcoVIfX1lbX8p9CdwK1bnypyZilKP/cDIaBHiYsgQGXPW6dZKSF7zOZJwBBKh5bGNCV82Aaxw7QEklZQnSABTfK8cLOt2LKJntxSobrIrNe2hUWGBTtm5OX5Pyb9WYQ+2PMFBc66brV5m6doOyjWaKAc97x9nXNcSYJ61rmhTRoC1ZzOdV6IqUlSntF+QvLylUPkyuCh0e/PxR4Vb2TkCtK0zogqve8LC00eDgk7jaXWpkbs1oqDVl4oZmodjufArkDeGGJ3PrJl47lmRO6hPLVfLLMZRI3zF2PUIzWUK5mmnUlfqEm+Y9OfJEjD1oJ0HBF9al26wFmbk2Iq2VPAMV9y70bpmwJ3QlFQoGjhBzhg4HnyhsTAnlg6ZQ+jwlCcs0q2Wt3/OnSBOUm08+kvYKY7w8nSFWl6ArgdjbvuXZd+b0lvh5QSOIMOhZHQrefNotGBcqchGmhPsUxVQ+2lBj1iUYr8+p5APYTHb3rBWguymTrrxfzrFfbn1lsfpWLJF9+eXwrf9Ss9A+lPsVs2Q88ZyPvuSR8XxolYw8G6r5asSUWtpzwXzC8yEBC+2JUq4dYvbEuUTPC60BdWkphiTaGsvM9XHpkiXPwP2JvPVWl1IWd/0E+WRcGqyKyvIE41tIsfz5hAZABZZHj11uOQCgp6w0gV6Rly/vPxNMRnXrYvb7cjZuzgf8DBw7QNeggyXZ7mNIT4/M9nz08sk1ydhn0EXroq7hfll/NLM91gtm1oe9t1+6XCjaSEVIf9MUUiS3e57Hpc/K24OSV1Zj49xF5ox9SApNpJz6LbFj62fy335G3zSgMmKIWrPKbc8UKeTYktDdb4BhG56r43jQy3H3bkb/Py+QQ9XD0gOG8nFZPhzhyUdkC/xtB6MjABoeKldYqMWJD9yK/MEr3z5beekJ6wJvToQenS7xwWDqpnwDPdHLM429i/ithfFcOCm5FK4101yvHINbsKmF1744zOnTXqoi8ouoDdvYVRkkUN1AzQLVTlJC38ChZj///KoV1+Ve9l3uJbewkm9ur6Mq1UqIMcxMjHDpsp3RjxxM+gN4wpUwFksJ2mS6INEh4S6h4gsLdMTqNRTkAdNBPDeTraKpTObWTCX3ZSRMIcm5kHWWaE4u+Plc7lkDTMCk1wvIG+ISytVMs+AcX4igF5fNxqWPHNhdXvDfkqsRZZc/Tt+SXmg1yY/57aCsQGukdZuIzxeiA0ZDSmgc41Ryfbdu7sYvWWa9eGRNf+AHkRUIkySL+44yM/xR3oCK/3LhhNbaUHJjWdGdN4ZfSqwoR7MObRJFMQyFK0CYLbvuloh05f1yjv3S7A3Z07fm/RJ/lEVbMn2ZHZLYh1ZXYtykYvCiH8tlJ/X6yEObG/u/S7qMadPDUQfWJTkX+CYYvfwB9qsjjP7eT9A3VxU2GdLbE1NYA2ulA7I9xV8I+OUfWHDPk43512L//xZTcvePvtXC1rdSbECSLI8euxLOLcntQ/NY5H6vqz9E27SUmNzS24GlV0XZg9XUf6MquUqIGSC9NZPl+Xh7ApcTQMNDURbWUEoo0H1dDpMO+pm55eWTD4cZOHMJ+7QcovhCZN5ENffkAdOxOmGQsTO92AC18Qk5tFD6/49HZK8ro1mKIpsNMuP34vnwEmfeGcLqDiKFKD4RnQNNse2ZI2XDliNHaBkAACAASURBVGSRt2GfcOCarkabB7hHsN5ASqQo3zAXPLARQ7cT+2UHrmcMlK0CboyHb6ITWuXTYMrze+nFvEoHSqRaSS7yt+Q4zNX56PKTSfeWplHAM8wpOUa3cc/C7uu595ppPhj7v4VUfXdPer+/AAWP7OTYg1sZe/ccfWcuYXePcPrECKd/lIPBvJvm/55iWWO3la4fdM9V9JL7V3tvJRWlGtR4Gb0wIt2WCbKMfIM9DTP+GRZt2FqqNSNIkxwK5P070sNmKeXqimHWz9iZI/xzuAKaXBUuZw3GDZUU58HMxCUGr2XHPT68VlJQVKe8KSRoWLW0BsYobnqRUhjNr7SnRGwFvozvOwviYyqFPHvq5ezfO5CVLWPu4rFfcn3Ly6Qs2opWgiFWERUVj5nRXhzCM3yJsf+ul84vAE4rAx5AZaTKEK2jZFXHmXVj/Z+ddF0OVR5TUaxdgyq/BJOxFK0KPFeHsS4+nW8cvHjSrHKYLJ7PFvsDc3MrurJtAnJSrxUv9NgUWex+vyofw7Od/GybA+s7/fRcdDJ25RztV86hztNT/8xu6h9cibIky/MxZEuhnOK/ivj/mw5+KxsSXf2tbO2f/9Hce6vZ/0IDFVGGyrnz3tStCEeGG0OcHvYDhTEhwuOMhazXtuPU2eb/jlpjYNeep6m6N2YNKLU9g6Rs2GJtOQ9pwe4ZYdQRxPiIiqmrHzAGaDc9PBcHrCnnoSKw37By6eMmyjbA5FU7HkD9SCW6BD+RDrn5GsAJbOS5ziYpEWiWyF2jAbxQso1/OrCY6nQJmHUz+IqUQLisbr+UK2slotJQtnknbZt3MjNhw/Lzs7x9xY19qJMnLhvYf2APxmTkjs9G54uvSyGXhgaaG8zRiRIBcHBaGLaWiLn46NycxQeQLcmaESwCP1OyJ7T2L+a2r6WUqysFV9//YN+gD1Ql1D/7NNvjeAJNXbjO4LU4cSoZILxWEpVejqFAUwg4kvuB2WXw5w+RtyZ8GVj1TCeNCtV9FyRT+05S5FNQhLQMkiCwnP17B7KyZcxdOvbLom+tQasFPEjhRpmMIMg0+oepyhuiZ9qK9cMGyuS8Mq7LVukMYzLNq8SWPR3Hh+2HB+gcCcJaA7uebaDqfs28JONjP8mWYUsOSc3OdgeEwukW8wNzc+v+7W20mbPjCSL02BTJ0H6v1pZTtbONqm/5mHzfQt+ZIaxuJz0/bMFq2M2hvcYVNhbZnY9T1+Vc5etLokO6P3NLSdllQka1e75YjmGDgYceKY8q1jGHhuJ1gDPSkcGHrfesZNsxN1EV6Yx0040rYqtT52koygH+Uo9hQzkbDRvRxRb3WajtGSTFHFsAhdwv31TYXROAF/slJ6DCWKmPep+UVC2IbcQJ+HB9JJ2cqu4vXWSz56P+S3kBBb1MZbla3drPx4tDzyyuviOcuiFVCWr5fxLlhlg55JYYqf1OB72v7KZmLXDTTmeSFYwm3+2XEu3lVdPSXB1HyVr5qJM1AHmjhc9ysGA897SXyWkAFdq1i791Woo1s2SsViVX+vymm2wXVEyaBZOc3+LmZ9KrYs3cgWMp5eqK4LYdy6CUY8z45D/QaMxWeJsy99wjK0GeFNbKmjXyZVES4/S/3XLoV0nqoYSLJRTiTCjEefEsZt9JjjVhb8bJPyxcXtgTuqotTCGU9D8xK1vG3J1jvzz6lhzuTnJ9OYccJrMgPjwZyAcKwCo9pscLgSAWu1zFc9aJ/aLkzVBvnH9Cz5qOc8PK2yNBpMIDe6jZMN+olV1yuUdWbRcct9t+0jHthnXnBfe8YDgsMpo1rP2C9EpKpZAd7io9dinI9H6/Kp9iYx0tR1/nzeeNUkVB+2v02VfahUJ25+OkS85VqF8Xvc/8GVnvMXO0p5veE50c6+zk0Hd2Uru5UsGoJSEZbWH0M7m9zvP0yIUSGmMLJYSLt+hpfqWb/pPS7xz7x900bjUpGrUStj2DpGHYAt2XNqIGPHYHk9NORp2AysTG+6PfV2wwoUMuM317nLFrkExy27QoKkW6VBnh1x+msmmmTq6uXLpVnLZinxfrvXgCjm46B6XyqLueTbIq1kpCY2TXThMAgZHxpA73M7fkxfRIpXJFrxvOZTcIJSIkGJhInBTU86ljSSt6xeUjZ/yKPzKBa7+TEgxSzn0ZKFuR7TWzpCxQQSREwDW+cuarc5xPEuXi8IZcmHMoWxdxu7SEcnVFMH1LXrt6DPcr3bLNJQbNBgVlX5aMVNMjfJzsDfxfhSoWj2C/mliBnLk2Is3LvHLuS8pCm0lKKKuU9n/rxQ8ym8snjX0nOVTc/yXpIOux/47JRBX5Zp2MfSi9NJVn/gLvrmRFy5i7c+yXR9/KR/clSUfyjIynkDg9IrH/Zwnmx+1xxhTLvKaO9gETZUDg4geM3gY+viQlQ1YoAJA1HefWLfkiYiMVioUH3HzyUQZ/M4ocikqTHLeJ8ZTzawHkritNbs+bncB1NX4bdeWS0cnz3gdpVU1NhrtKj10SsrffFxh3s+tRgCD28SzHyqZMNuejm0l57hl0MQUjwpfuqReKCSXBD/wZwI/9l1I1y+KaOkyxqvDqXDm/oI/AnzLU9gySlmELfblUMc0zzpjtd1gBtckwF4ceokhWtqcdfPKeAwuAvpKypG5fUmS1garNUu/bevsZzebNX+FGtleqAD89vUN4Mjlp/Q56Xh1mEhWGHbsVy6PeMaxdk1oltM+8CsLPz+j588rl6VcCIa+J4Ahjnyq8xz/C4Dvp+YsXaL8ovZhwL37Oec5jGVE4AM86Gei2EQDUm0w8lIn1ms01s9SE3audjCrlWZr1Yn3HtvwGzDA2zr+rdHPkZ/SMXEmlaBtRxXqWUq4uQEbn/4K4mVIyWnqGOR8np0CIRbezyCC7fbt54/Xh5L4j7GEAlt5+xpRsW/4R3u6VQhbLHjdlPCXAwqioMEuVDbnay9tXslTGO9V9ZwFyv2KmRgV4hngjQXVhz4Wf0SNXAorNwXPHsVYjV0qaSLtEfFKsIBkTj7t67JdY3yr+ilkyDNzo59SFZD0Z5rzm7FeVLwU9756XStJnisKN1GwAqbq7nzG7lQBQ9jeG+AUAsq7juPEo2PUCI0NS7q8sMTduZxlU0hvxYx8eTq/SY8SeN/DOiOIYB+wWybgYB+2mbZhUwPQQPb9IXcdOat++m/TYJWFp9nvtmuRD/ZZKj1zsfFQknEcrTiGMolBVUju/VVyn8SkolCsUTrqZclvpswVBZeTJbXHyIOWVUKYF8GK1p/BsidqeQdIzbK0up6ISYBzL8AigYoshXvCsHsOjOcAEg7+UhJXuy8nlDEkH3bbd1K4Fpq289MIB+mwTTEVudEE/UxMjWN7q5JTiIS8Z8jE2NUi3jM5env+H4wxedROIXCS3/XicVgZPtNOXZOoT8DPac5yBm6A27qbVvHJzEIz1tnP6wgiT3vmaxMyElVOvS9WNyjZWJhW2pdtglFwdr/bTY/NG9WXA58Ry7H/w0ntB1Cs5QjG8OXs5/cpJ7DG1aWcmbPQcPs5AUJXeoauwRBJaQSt9/zbBTOR8S1FAq1VBBo4doccW8z3eEXrajtBzE8ljcLtBsRJnamRrzSwDctUkAMuPXmbQGa1tBjwOBrva6ZpQkbtC5qtapcL+Vvv8kslBL6PdR2h/zw/kU9tomrdel06uLkAG578icm5I8NPXdw5X5NDOBvFc6WZfay+jqgQDu+h2FlLzdDXFQOBaN3t/0M+YO6LDZ4Nyf1ujvC61f/s0jWuBm8O8dLibUXeM/HEO0/XicalE81ozT31tmULc9dtoNstlvH/YzEtv2Zj0RT/fjHeC0Qu9dJ6wRoV8ZHrfSZrVBhp3VqImiL27na4Lzpg14GX0rQPsfUtKy2DYUTcvB88dx6pCivUAQc6fOYcr8kCZ4QPBipEx8bgLx37Z9K3Cap6ryQeC2LtbOdLvwBPpWXDby+SVYXrejfTAUFHxiNxe+2t0DDijZWrQy9jgcdrfmiB3dSYbnI/xMSMAlo/7uWSVwnJqNinJzSzpOPpyybCKg75eW8z+7cN14Tgv/MDKVKI9abEUmngqJLOPHaHnSpw503WADhtpzplCqholA4jnveO81D0S9zn3vWoDpefMN9LYoEcN2HsPsLdrKHrfBALTblzvnePUwd75ueOS2rfvIj12qUh7v3fQd/B1LFcmmIr1Ppr1MfneSU69B1CIsTKFs/JS6JGw+PmoxOSEXISvlPtiH3t1JSZzDhBk8NU4ZxO3A8vr7XQOx9lDQ44Zs34unetnDDA01BH/jqaQjV+XDF5j/Uc4NW8PmcDe38m+t2IWQKK2Z5DUk8cDkENZpR5GnIy5AZV5XhhiCN2DJrSDQ7g8XiCHjRuyqEznlPPU4RbUbcfp807Qc+IAPQpvNTQt8re0ZtoOw5G2bmxeO6c67JxSeGutKcnvdPTLB0xQOXrZ16JcTva+bW00P7pcJZOBPzkZ6O5koFv6Z26+Bq16hhtef/i2JXdDEy1/m9x4qx+oY9d6O13XfAyeaGHwhFT15Y83vbISmU/VcwcxOVp56b1sPFAmKKSqqRrLD4Zw3bTR3hLHrWN1OS2Hq/mkpTP1UvcaE/Wbz2K/4MPef4CGszno1sANr58trd08tSH5r6pq2kPB8HF6Thyg70ScN6g01Lf8Q2Y9BrOxZpYFFRXfaMJofx3bbSenvtc8/znk/tP2H6Ari0lXk6Xq2TYqLr/Mkd4OLHHFigrjt9p4akOcXWwp5WoiMjj/lZEU7PMdw0xe62fv8/1SYszP3cIlK2PqkmqOPr2G0wd644fqZKKd+gYONfv551etuK6eY9++c3HeZObojoh/rtJTf7gVOjrpmRjmpX3Dcb9arTHT1t5E2bIdvnMo+/t/4dDnDtB+wcvo0EmeH1J4q76JpyL/neF9JxVyN7Vw4s/Haf+RHUt3O5bueO9SYWw6yP4VfCmVPBpM9WYGvi+vhd1nKdCsgVtepkytnPtWupn/47BSZIwCd9vYL6e+pas/RNt0Ox3vebENdGCLpwiZW2mMbK+hjuYNdjqvBrH3t9Mwr9qXCt3mFo5+oZ/nuzO34aorH6ZGZWNweFjS1ypNGBKp3dnQcVYbqG3QY+l2MnnxJM9cPCnJvT/fwjUt7UnFht2ceNTBMz+0Jv9wKZFD2d+30fJZK51XJ+j7YQt9896TT01zG2XvHaBzJPVfUG9oou1bbvb+xMHYhU6euTD/PcWb9vBKuZXnfxT/B7Sb2zhBB3u7Hbgu97LvstIZysy87k92375r9NilIv39/o/XrPRcC81puRKof27eS3prCzWpbPdLokdKLGo+KjD5qWws2lBK0by/qiir/wcax4/QM6FwNkFhD83JYS3g8pxnwBmEPDP1jyrvZQVf281+RztH7KE9JM6bzNUptD1zpGnYgoLyL6PDiQtQP1KuHKevr8SoGmIgCKg2UnFvur+YJHmVNL78KlUjQwz8wsqoy8ukbO1V52koKtZT9dgWvvqVDCgfhWb2n3oY12/Oc8ZiZ/SGN3yTl5uv4b77DJg2mzEpGP3mEU78BjM+b7S3QAxrby9vkFPZ9oO0rT2Pxepk7KaXKZ9Xmgt5GnTF5dRs3UpVKlVvVmmo+scu7vtNL2+f+YDfev1Meryo8zQYDSZq6rdSoYGp23p4bwVYChRQlzdw7GgllnPnGLwyHj4M5+aXYHhsC/VfN1Kc5yWgJ40iMCrKdvwLx9b18vbbl7D5/Li8Koq15RSvSe2bPMFCdrV3YXz/PH3nrdg/9TGDNH4PGarZvtVMWTb080yvmeVCY2L/K6XYf9nLwG/GGZMP1rH9N2Ynq9WEkkNP2foSjMYu3rw6zJlzQ1jH5X5fnU9FuYna+i0YihKEzyylXFUkc/M/EeoNTZx4pZKBn/ZjcUwwOe3FhYrieysxVtWx/a9LyF3loEyFQg6azLSz4JGdHCuvnjfHUOWgKyrlq1vM80MJ88qpb+/C+P4w59+1cik0zqocdKWVVD22ja9+pXDJE+LPY1UOFU2d/OzrI1j6h7A45mQlqhx0a9dxv8nEFlN0taOM7zspon10Dyfud2C5MIT1koPRSPm+0UTN5izJzWVCXd7E0YMlvN3bj8XhY8rrJTdfg7EwgwsuxIqQMcrcVWO/nPrWqnwMz3by5hYblr7z/HrcHT6oqvM0lJUaqd28LuZDGkzf7UL3/nn6ztvm9AZVDrrSh+fW/VW5tFemWG2gypzD4JAfUFHzmGFhb/ss6DjazW28WWrl7d5z0t7t8+JS5aArN1D1t3XUPKiBmzMYIK0cV0mxKnIMYnTGDXNzZuyaCtJKIQ9acyuvlUnzwuKYkNZ/aO8KPafDgRoUwxW1m1vpfcSJ9Z2zWOwR+yYqirWF6B40UWM2xam+msK+fbfosUtFWvt9Od88vBvtO1YszuvckGUUqCjQaCjbkO45ZWn0yBDpz8d4+LkxLnlbVehK4kfT5Oipb/8hFb/q58yQJNtDZ5Oy0tC8jNNpawspAuzTfjyoMO3Ylvjyc5UG495/4ce28/REyANW56PTlct7dWQerSTaniH+yx8+8/2fLH6/QCBYMXixfK+FLicYmjpp23ynaOECgUAgEAgEAoFAIBDEJ70cWwKBQCAQCAQCgUAgEAgEAsEyIwxbAoFAIBAIBAKBQCAQCASCOxJh2BIIBAKBQCAQCAQCgUAgENyRCMOWQCAQCAQCgUAgEAgEAoHgjkQYtgQCgUAgEAgEAoFAIBAIBHckwrAlEAgEAoFAIBAIBAKBQCC4I/kvf/jM93+WuxECgUAgEAgEAoFAIBAIBAJBqgiPLYFAIBAIBAKBQCAQCAQCwR2JMGwJBAKBQCAQCAQCgUAgEAjuSIRhSyAQCAQCgUAgEAgEAoFAcEciDFsCgUAgEAgEAoFAIBAIBII7EmHYEggEAoFAIBAIBAKBQCAQ3JEIw5ZAIBAIBAKBQCAQCAQCgeCORBi2BAKBQCAQCAQCgUAgEAgEdyTCsCUQCAQCgUAgEAgEAoFAILgjEYYtgUAgEAgEAoFAIBAIBALBHYkwbAkEAoFAIBAIBAKBQCAQCO5IhGFLIBAIBAKBQCAQCAQCgUBwRyIMWwKBQCAQCAQCgUAgEAgEgjsSYdgSCAQCgUAgEAgEAoFAIBDckfxfy90A/BNYe3s5Yx/HNR0EVQ660o089UwTFZrlblwWuDnCwE/6sTgmmLwNrM6nonwLTzVXUzRxjvaOfsa0DZw4XI021e++cY69rf24MNL22m4Mq7PQfoEggrGfNLFvGDC3cu5b5cv2Hf8pmZ7A2hcjO4tKqWrYTU15znK3TiAQ3FV4sXyvhS4nGJo6aduchoJ220Hf/k56pivZ37kHY36Gm3i1m60dw4CZoz1NlEX+zWvlyP7X+W3eVo6+XIduVYZ/W5AiGZhPAoFAIBBEsLyGLb+D060dDNyU/pmbr2Htn7y4JlXcs3ZZW5YdPMO0t3ZjDwKoKNCsgVteRgM5aFXgutjP6G1gwssUpGzYmrk+jgugZB3FwqglEepzKtl/rCXzivRyElbi00AYkcLMOK2cOTeMLWRsVuWgK32Ymq1bqdqQIWXb76Tv8BF6JoKZ6Xu/g9MvRstOtd+L61MvrBFGLYFAsAJx2enzBgE7H0+ypPvx1IgV223gtoNPboJO2FEEWSTg6OaF7w8zudbM0Y4mysS2LBAIBFlnWQ1brrMnpYPZWjOHDjdRkSf9f+B2EPVdd5vmw9bdiz0I6vUNnPjHarTyMwZugxrQlpSTyzjFtRvRpfELky4HAOr1Jal7e92NzHqxnOzGHlRheu7pu8uoJVg8s15s/7ODzsteApH/H/TjcljpclgZMOymrdkYXqtp4bbS1fE6lpuLbG8ErjPH48tOfxC1UKAFAsFKRGegXmOlj41UFC/tTxdUmjCudjL6Vw9TdjdenApWFOryBpo3f8C+C8N09lRy4tlK1MvdKIFAILjLWT7D1qyDX1/wASpqmhrCBzMA9WrVsjUra3g/wDISBAp5cmd11EFZLXtXFTzWSu9j6f6Am09GggAYdesW09K7hqlfnaTLCegbeGrTXWjV2tDEuZ6mOH9wcLqxgwGgtrWbpzYsdcPuBIKMvdXOkcs+UJVQ37yb+spCyaA+G8Tz8TB9P+rFYj9J+0/zeeVb5WkppVOXX+efX7XiCqooXqti8qY/A213Yr8ofU/NjhjZmXMXyk6BQHAH4MPa0UznFxJ4pK4up/6V16lf2oZJaEzsf820HL8s+E+JirK6J6h59ziD771G36Yf0lgu9meBQCDIJsuXPP7TEWxBQGXC9MDdL+xnro1gB9Cb2ViYhR+YnmDMA1BCRalw2eC2nb5eJ6Ci5nETBcvdHsHKwj3M6Qs+IJ/GFw/S+GDhnJfoKhXaDdU0H26hNg8mh08y4Ez1B/xMDrTzTJdk1DI2HaTt8Qwt/NkZ/jgNUIJu3d0vOwUCwR2A73dcurrcjRAIVhA5BmrrCgEffX1Wppa7PQKBQHCXs2yGrcmrdjwA5aUU33Vhh7EE+XhkBADt+nXZMbJMjmMDUJVSLOIQmXl/mMEgkGemyiAO/4Jopq5+wBjAhjpq9Apvyqvkmw3lgI++YXt0uOICzFx+jRf6nQRUGuq/28X+zYXM/MG96HYDcNPLDQBUoq6tQCBYEcyM2CQdRCAQhNFuqsYI4OzHcm25WyMQCAR3N4sORZy6OsyZc0NYx71MBUGdp+GhDSZq6rfOr2oY9DL27jCD/27FdkMOyRk5SUPjSen1+ibePGBO3vAz7cb+7lks747wW6+fAFIS5fvuM2Cq2ULV+pjws1k/k++fp++8FfunPmaA3PwSDBvNbN9qQpcX70cAZy/PfG8ITyjp86yPsV/1c+bsJWy+IKzOx2iso7HBRHGks5RvArv1PJZf2rH5pP/yDLazdVB6rd7cSn+T5LI/NdzOEz9xQkkDP1aoiBjd1yoKisrZ3vA0tZX5TN24Lh28y0tRSl0xdaWf02dinv2xOp7aXklBrHFx2kbn7pNY9U28+T0zBfjx2M7Tc3YY2w0/AVUOZV8y0/itOioS5atIdYxSbWdcvFz6dynfmO7rJuV8ZdNu7L/sZeA344zJbUOVg27tOu5/xIDJZKJMG98oFjvvWZ2PTvdltjc0YLp3AY+50O++62DUF0QqJFBIxV+n8owZZtbH5PtWzr9r5ePJW1KVPZJcHxFMXTlH3y+sXIrol4pyE7X1WzAULcKTcNbL2K/OcWbog6h5VPHgVr5Zn1zbIvG4JRcsXVkpuQnel/uACRMOrJcduJ4xUJbk2OQ+8gQt7wf54zdaqJIdtQJ/WlwYYsDjxHbZgnXILnl/4qTrhSa6wu+IUwksLPNsjN6Qx0SVg660kqrHtvHVrxSSG/eZQhWr9DS/0kaVBvCOMPDTXs585JZk/Yad/Lg1SW/IRay1mRs2LH3n+fW4W56XKgo0pWx8zMSWx4wUK4x9qNpm7Xe7eWrDfNmvztNQVmqk/u/r5vYq7wiDfUNYro6Hf6v43nKqtjRQpdhXMc+YhXUdKnBgD/eBPP/LTVRtN2MojLO2vA4s584xeGUcly9yPZuo2WymTCF59tL0W2h+ldDceZCqzye3vmc+tXLmTJqFHhbbH3JYd9w2FJXy1WTmSDxCRUAebeHcs5Xh+W6J/f7tTdQ+KDdy1svoYD+DUftqCYbHtlD/9XhrIvnw9FSr1AbcNgZef5O+a7J8G+5ga1RNkwi55B2m/YVu7ETIlRChv4V0jrjrqRRT9Va2f6089fWUqGJiBKnv7RmUlaE2hvp+egLruX4sl2JlitI4w9SFdp7odkJYd1MgwVgsuewEmPXj+s1ZzlguRf3OQ4Zqtm9VXp9h0pG/sf0968f1m17eflvW7VHReOB16teH2ijLqV/+jlGP1EZQUawtRFf+MCazCUNJjE6b/zBfrXwd24gfi91J/XqlmzSBQCAQLJb0DVv+CQaPt3PqajDqvwPTXmy2fmw2C7Wt/8JTG+YUAY+1m1d/6QZUqCCsvGrlHFP3VJYmbdSay10T/f8zPi+jV4Yo/uu66D/ctHP64EkGvMGY909gHXod67CV5o42quJYlKauj+MBtH+hhukRetqOy5V9ZG77sL37Or91B/lx2DAXZOyd4/RcAdQq1AQJyJUQC2Qvi/vXz+XCmnRJB23thtL5Rq1ZL7audo7YfRH/GWTqxginf/AdRr/VQX3ooF5aMv+grjBWM74JrAOd2D7dzZvfNUZ/LuQBlpuLetaN5QcH6Ir8fNDP2JVzvHTdz9GjTZTFqcKY8hil0854TDsZdQLksHFD/PCvwNVu9nUOz2sbQT8ujwPXOQeDV4L8uCPGyBh3LIDbPlwOK50HLnFmcwtHm+LnZApc6+WljiHGon43yJRXekbrL8ppOdyKaSm97vx2up4/jiXcJhUFGg33THuZTGJ9AKjxYn+1mfaL8/tl9Mo5Rq8MYWxoo6WmJPVcVR4bXYdPzku+PuPzYnv3dWwXz1HfcpDGDakbztYulJMqL19az8HrTN5kYeU6TD7G5paU26OMj9/2neTMdWC1CvX0fHkCMc/vsdHV8RqWGJknJce3ccph4413qjn6YgM6xa7zEfiTtF5e6BhmMuIvgS9okpLXi1pr8ZL7E2TK62Cwz8HgmfM0tu6nfr3y2LtujGAdOk5nnL1q9Mo5Rj+yUd9ykKrPjrP3Jw75sDL3W5OfjnD6xAiWa62Kudaytq6V5A3y/Lf1w5dMGKLEnB9X/xFeHJiIeZbQfteNdegsVc+10bxJeUIvRb/BBJPjI/R0xOypRKxvm42Ww3vQ/vIAL11QKvRwCVtTB22b4z1PZvrjhnsC10evsW9wYn4bPh3BdWKEt61NHPuuOb1iExNuRoeHOBLbl6Hv/2Erv97cwuGvuzn+YrdU4S/2WQZOYn1vfEmrsLku9nPpVi7a1X7JO1dImQAAIABJREFUELc6H11+5Gin2JAJNx7PMK/Oe0Zp3Q90Oxh4x0jb93ZjyGQS+EXu7ZmQlWGuu5m8NkKXokw5ifUX1qzrCksjA5B0v++f5NS1OOeJd7uxXRyi9rk2nnokfq7URcvfGT+BWS/W77fSFdWGEgpCc8wzzJE46w6CTHommPRMYL34ew6d3E1FlD6cQ4WxEkZG8Fz8ANcOfVrFoQQCgUCwMOkZtma9WDrbpU1odTlP7d3Jlvs1Uo6aoBf76+20X/Qx0Pky9x1twyTrilpzC8fMwM1h2vdIN0XPHWzDlKJyErjazUtdViZRoXukgT1NJnT58gE16GPyo+sQmaTR7+D096QqYmqNiea9dZhCtyo+J4PHj3DqmpOuw90UxzHShIxOxarrnH6xm/N5ZtoObwvfzMyMdLPvB8NMXuvH4jRTrwdQUbajk2M7AEc3dd8fBpWJ/a/Euyl0Mym7KBt0JTF/82L9QaukWKg0VDXs4amvlUi3X7Ne7D9up/2t4wTkDbvi3hhDTsxY7WrdTY1eardnqJ3n33ISGLFwyWuMurHzTIxLynv+LS59/zW6vJXsam2gKjTO7iHaX+zFfnOYQXsdZZuildeUxyjNdsYj4PgdVgAepuzeOG+YdTJwYhhXUIWhbj/NNXoKIpoS8E4wajvPmGZjjJHRz9hPZcV3rYHmPU9QJbeR2SCe97s58iMrrguddBR20GaOaahnmI6OIcaCKso276GloZKwk4rPyeDJI5y66qDzcDdaBWNhVsipxGQsJLC2mu0bN6IrjOgMr41TB08yeNPJqTN2TM8Z4iun1m7agzlUNbXR+FhEfwa9jPYep/3CBLbedt74fBe7HknhoON3cFo2ahUbmmh50owupNsGvdjf6KDjPS99nS9THCFrFuRzKiDIqNsLJPjQbT+Smutk0pP4rdklH2NzpxTSEL5pL6HxH9vir4eIflOXmGl7voGK0LjOBpn61ErPiV4sE0Ps69Rw4h+VDuNePB8N09E3jKfETNuz1VQUaVD/2c/MbBLjuNi1Fi+5PxDwObF2n+TU5Ql6Ol6mIIHRdbS3k1GVhtpn9/DNvy4Jew7MfDrM6Ve6sdz00nesmcHbQYIlZg7taaAitDBnfbj+7V/Z1+9kcvg4A8ZX527vQ2RtXUfIG5WGqrqd1H+tXLoImg0yc9PNJx+Oo34g+rDnufAy+wYmCJBPVdO3o9fjbTejPz/JkaEJLK+2k7sm+vJpSftNZuDVTkmPaI3QI4CpK90c6Rpm7LaDrheb4XYQbTwZIOsb9u7XsT7Siinm7Jup/rD3tjMahLLqFpq/URm+kIt81pmrvfS9v5FmYxpWpYleXvqJCt2jO2n5poni0HNMT2B5/WW67D5cFzp5+r0gM7Ml1H9nD/WVc/014zxH5+F+7DeH6TyzkR/vWBrPkLL6To7VR3h6bdrNsSQ8vRQJWvnnF4MEtWYOxcgtz8dnOX3sHLabNtqPfpETh7dmKJXFIvd2YNGyMhJnLy90BFEVVXNod91cHxAxzrcddPXaMOxN4rIvTZZKBoyePYmdQuq/Ey3n8TmxvPGvdNm9DHQdQfvFDmqKYj6cCfnrvY71p2/SdS2Hqobd1D9WijZHRWDaL9tlfVjfkIxaxZt20/Yt49z6BwJ+N66LVqzBh2OMWhK560rRMYJr2sEnHtCJdCECgUCQFdLK0DL5b53SrcZaM4deaaV2w5xyhUqD4Zn97CoCgk56huNkXZ6ckEJp8kopTvXGzTtMR6d0G1ZsbuFos3nOYAKgyqf4wUqKw5uLH/sbnZJRa30DJ17eOWfUAsjXU9OymxoVcHOYQXtsuNCc0ck+0M15TRMn2pui3I1zK81s0Uq/9cd5tzkRRiKlMMGIxO+xyaBnLnbLnlL51LYcpHnznHLBKg2GZ75N4+oJRm8A6Lkv5gdcfe3SWKn0NB9uDRuLALTVdWwBwof2MEEmXRPSy/d66fKaONqxh5rIcS40s8Ugt9Efcw+e8hil2874eP5DnnPrS+IrvTevMzYNYKK+NvqgDaDWlGDYuptGY8wJyXmWrmGf1MYX98wpviAlHDfu5PDOStQEsb/Vz2jUXPBh6+7FHpT65FBThPIF0jz87n4a1wI3hzn9qwzlY0oKFRXPdtBSZ4o2agFojOx61owaCFx04FL4hkAwiGFHG82bY/pTpaGi6SBHa/KBIINvnY+6yV4I19mT8tptoq054kArf7fh2TZaKlUQdNL18+TzYOnKJQNdwGpl3pIP42fs/32TwRTau1II9Rtrqzna3hR1MGKVigK9mebDe6jNg8C1bjp/oTzfBt7qZlQXknuyDFDlkJuMgWaxay1ecn9Ana+nqvkgbY/mSGP/yhDKokGFaWcbTz1aEhUOk3uvmV07jJKh9naQmbVmDh1omjuYAazKR1f7bZo3APixXIndz7K4rq+dpVPug9qWgzTXlM8dplapyNWUULHZTFlkOJLPRk+vkwAqTM8dmr8eVxdSseMgx3boAR8DnW/GyKlIstlvkeTT2BqjRwAFDzbRvE26qAncDsL6Jg7tjSMDnvk2jXkADuwfxSzmTPZHMEjFjg4O7aiMOtRKz/oPtBolY7nliiOlfHyRqCuf5vCzEUYtgLwSqp59QtJRCDJzO5/677bR+GB0f+Xqt9LypGRQ8lz8QFFWr3yCzOSYOfTifLml3VDH/sMNGABunGXg/UxUmWWRe/sci5KVUQQJlDRw7HsN0X2ANM6tz0nrL2D/HR8rrt9MsDQyIBBUUbt3/zw5T76eqr2H2F+pAty80W+L8QrLkPx1nqNrGGpb/0WSs7IntzovR27P7/nkKoCe2m9EG7UA1DmFlG1uYJdSws4iPRUATOC6Huu6LBAIBIJMkbphy2ej76wbyKF2Z11Uqfkwqwqp+G/SjZbHeX1eJZDJT6X8R2woJfbyJTFBRn8ubWLoG2j7+wSuzSGcZ3nDFgT07Hq2Or5XQk4lD8lGGpvrevTfwkYnJENeSzzPhlt4FE9Vc0aiuGGCoJz4fdbJ4FsjBIDimm/Hv0leVYIulC9D+2V0kYZC7zA9gz4k5eTb8z0afF75MFhCcdQF5ASuUHUjlZ7mF+OFNdxiyhv/eVMeo7TbGZ+p/yU3rLgwvvt/ePyuJ2UoCzF2UTLWac1/p+gdkmswUQUQtGOP1OO8H2AZCQLl1G9X6JNVeox/Iz3g2AeOlVNBp7BQVsquMxl3zAGMbHlMeXB0W+okb6Obw9iSrTA46+DXF3xADvX1Sh5F+Tz0qLR4A5cduGaT+2r1A1XUrwWCNjo6z+GKjfTyObF0HeAlqz/10MnlJtxvULOjDp2SR0NOKDk+jL1jTXAQLqd5T5rhVYtcaxifoFbR8SSHim82SPPqxlmsSvNKZaIm1nAmoy4tlec2GB6vVvCmyqesUvKk9dzwRh+ssriux2zDktwz/F3SYbZTly1Yg4B2G/Wb4j8zgHbz30nGoKANi5JlN5v9Fol+G1UKY1z8X0N9qmLLdoV8Qav0lD0gvRybjD64ZrQ/Esq4HO6vlL2U3N40ZbeKLdUK3jc5pZSF4pf026gpV8V7F7nrK6VxmXbjmU6rESsCw+PVyqGUWjO1m2Qj4sUR5XmVAova26NYhKyMoaZa+XvU5V+W5B5upuZHKWeOpZIB2i1UVSoNeD7GrWa0QMB+idHIeZ1B+autVtCxZdQqADeT7nSMqRqKZRnn8d1K4/MCgUAgSIaUDVthRbFoGzWKGxHckxNy4479i58b49LpuEKXYr4d3yUGLwaBHBobFIxUMYQUFvWmLQlyEai4R9YmA3+O+ZPLIYe1qajZURdf2brplquUxTO8zBmJ5oUJyih5dAU+tNA3DVBO/Ral012QYGifXV8S9XnXcL/sGWdme6xyMuvD3tsvGdSKNlIR2Tee8bDyULbtaQVFz4tHduoq0kY8dBpjlHY74+LFI59tKrQKh5C1D1NVqQKcdL14gD7bBDMLGkTcfPKRdNNm3JAgxGN1CVI0aZAb7jkrUMA1Lj1jSSVlyucriu+VD0dOdwIPlCVmbeHCBmh9KfclupXOL8dQAuBn7HqSmvh/OBkNAjxMWYIuV69bJynYch6spFilp/7FJoyrIXCtn73PN1G3u4W9LS3s3b2Trc+303Ulh/rWp2VvwRzuWarQ0MXy6Qi2IEAlFQoH4BBzB2EpRCIuRjMKZ5uFSWutORm9LK01U+UChvGIeTU6rmB11RUqy6GIuV1UqGyYVa+S+3FmJsobJ3vrOqIPDJVJ7pN+xkbkXI2GcsUiIkCUMcjqGI//niz2W9R7dAoXEACakFG9JGG1X7XcQZ4/Rf5KhvtjfWIZl7tG7oeJdA1bJdwXX0UA8tGGHmBdgv76nEqeKzNxvcfvDFToihLdYKkoe0C+iXSMp+QBHJ/F7e1RLEZWRqGnrDSB7A7lfmQiwWVTBlgiGcCX9InXp75cNuQ5+CRiwDMnfzXUmhKF7pazcXM+4Gfg2AG6Bh14UnK8yg2fMexKc0cgEAgEiybFHFs+Ri/LScr/W2Xcyn0Lc51PHAAqykpSS1gz85FdMnDkmTAklT7Cgd0q7T5VDyR7OIgm7F2WZ6bKoGDIC4VWxnpcQUQozvwwQQklj64go5dtkiKQUFma4Y/yBZBBty7i/918LN88675ukrw2gn5mbnn55MNhBs5cwj4th/69EJ20OXD9OqMAlFPzmIKm7ZmQE3VGP1fqY5R+OxdCrWhUy8f4fBu7jrdz6uoEPScO0POjHAyb6qh/XKE626w37JU38IMmBlJoB8DUTdnaNtHLM429KX56CZgN4vn0EvZLDkZHnHj+PMONUPW6ZEh02AIgl3vWABMw6fUCSWj/f/DKXkRWXnrCmmxLkkdrZv+pSkbPdNP3m3HGvF5c01J1MVOtXHUqOEw7AIUUZOTAsgTcDsrKu4aChapFfr4QHTAaOiDFWWCG0jQS/odJY60R4I+yYb1gzUKeShq0JcAEjHoU8qUpeW5GoU9oOFEia+t6diaFPggxwx9ll4jiv1x4smqL5Y6TPYzm9VEW+y2Sii8kowesS8pbN5rl6I/FsA5tEqkZDAmMCHcHJSjdSYVQ/+UatIAn6GVqGkixKm4Ui9zbI1mcrIwkubmQdZZIBiw4p1flck8eMB3Ec9NPqCBB5uRvJfctcHunqz9E23Q7He95sfR2YOlVUfZgNfXfqJpfCXEeORTc7ctWIBAIVgApGrZ+zydyvqkKveLVIgAeuUofmjXRrvVhg0i5gqFHmUlXRAhjMq7eXrdciUuPTpfIc8HLpByBqFuzJuL/57zLtI8+rBjSEzZ+xcuhtWA+MSWPrrn/N6wvVVaWpp2MTgDkULYuYnO96eC3srLm6m9la//8j+beW83+FxqoiGnXDdeI9KLShEFhvw4bv2KeK+UxWkQ7F0VOCTWtr/PVCRuWn5/l7Stu7O92Y3+3m9xCI0/tfoKqyNLeN72yV15sJTplClbPjdpUyL1tXsUoxQam8DCLY8bRz5EfngvnDVHnaSjKyaWovBJDUS7cvo71PeciPcjmFLtorwplpjy/l16octCtTSY97hruSTUEZJWGiroWKuoU/u70yh4B6Rysl4cpbwp5nFYl9ujKCKmutXDocXKolzFWNGvrOixvUjk0+pi6kex7Izwp7lpEf9y15GsoBjwhz7TFGLYWubcLloJ8CrTAdCinq2zYWkq9alU+hmc7+dk2B9Z3+um56GTsyjnar5xDnaen/pnd1D94hygJAoFAcJeSmmHLmyjkLuqNTMre/LovFkYZZcIGEW0pRSkpIz48E8G436mIxy0Zlfhi4tuvWTeTsh3u/r+KfLCQdxkYy5XcjyJCKzfo5+XHWDCfmJJH1+1b0k0kKnSFyrdBMx9a5VDJSnSRP/CZW/a6ksjN16BdDfd8sRzDBgMPPVJOcX48Rd7HpNOv+DwhwsavB8ojShenMUZptzMz5JYYqf2Okdqgl7F3z9F35hJ2t42uA3Ystfs5VKeXniNvTdiZpeqZThpTLPokhal4oWQb/3RAIVfMcuDsZd/3h5hERdnmp2neZoxOXAzgHca1aMOWP5yTTfsXyR0KcvM1gBPYyHOd8aqJZp8p17j03JUKhR9WIAWaQsCR3Jtnly6RbdJrLV+TkmdmIN1M3Rkga+s6LG9SqcaZT0ER0pJJgsASjv3yIPrjrsUXunDIXXyI+CL3dsFS4GNKVkByc+a00uXQq9Tacqp2tlH1LR+T71voOzOE1e2k54ctWA27ObTXGKcdfoWctAKBQCDIJCl6bIVQJc7O5R3BNgGgocoQ7dkVNojE5INamAABOTfL2pxUDR2qBGFpwMcjnAfAyEOVEd+tEG4Xxex1PlYMrUwin5iSR9f0rXDCdEW3/Fk3vz4vH2BL1kVVGeTPyGFkZo72pGAUmL0ue+UlChX18sk1yfgVHf6Yxhil205F1kieQc5QLoMkb9BUGso276Ttaw24/u1l9vU7GRt4DcvGDmoKgdVrpLCuGFf4ZFn7+ULAqxzmsiwEsf9ySDogbGjin5oWUTb8upspyhM81y1ufia9KtYkNyYZDTdJCzeX/l06FRsfKc9aSfWMs2YNOsBFEv32v91yuGdyhRkywkJrjTVotYAHpm4ttNbmcv0p5tTLIllb16tzyJXyYyfRByHmZN/kH3wsJPs8k3LHFWpWiDzKNKI/5lDLoVwLvc+HZ/FJqxbJwsbcmc/kXEmqJMKtF2KRe/tKQ52T5E7ljb5UXE4W1NUiLnq1a+fGZ1n1qlX5FBvraDHW8ZTtJC+dsDFpf40+u4Fdhlj9dy4sejn2KYFAIPjPQmrJ48M3W4krsbiGz0rGGn01G6PclOa8gaINIskwl3xRUlKTQD7gETrgxcWHbchKANCaTVREGIfmvMtiqg1GEk5wHS+0cuF8Yi7HB9KLlCtEgudXr/GGHGqh3VAa7eWwWiX/O8Uksv8xISs7hrkqTLHcnsDlhHnhj+mMUbrtVETF2pDiM+lOPYnvqhx0tbvZVQLgZswVysxfQpls9LRe/CDlSky5unLJaDdtxX4t1UZli7nKloYHlQ034QStiXCO80mi8fOGQk5j50wCikqR9MMRfv1hNks/xSdw+ay0vlRGqpRiclcif1XOxjyAEexXE1dwmrk2IocUl3PfIvOkpIziWivk/gelNWy1jyTO8+ZzYJdDsStKl/7AkL11XUpZqFLvVUeSue5U3P8lyd3EY/8dk4mS9M86GftQemkqL11EO1cyoj/mkEO5gBufJZClt8cZUy6PumSMOhOFUwf55GqC9A8ps7i9faUxV8QgcaEKz6fJypUl4CNn4iIATgcWIFbPXil6VYFxN7seBQhiH5+I8w5vOCqkIO+OuSITCASCO47UDFurS9DpAfxYLsf37w9c7aZz0AfkU19vir5BCXsDpXC4DZNDkXxw8bz3Aa4FK2sBf6WnYoGDsefCv9I5IiUnb6yJrsCVjHfZzPVxyeMhXmjlgvnEIgx9sUlH12pkQ5cTl2t+iETgajft3c6wYmKQyvXMUVSKdC6y89uR5MsTh58n1gMskhshQ0dM+GM6Y5RmOxOhLZYPJi43nmTakICCvNDtoIoKs1maB1d7eftKim0t3Mj2ShXgp6d3aNHtyjSTXoXDzqwX65AtiW+wcf5dJV97P6Nn5MqXRdtIWHwoktUGqjZLcsLW2x9d5jvbuIfoeFUq3mCor2Ne3YhZH6PnTnLqRD/2FVO+UmaVHtPjkqespbefMaWp6h/h7V7pgFj2uAklO/ZSMbfWQPfYNunAYv8ZPYrGOT+jb/fKFVNTmFeZJGvrWkXFI0bUQODimwn6IJrcr5ipUQGeId74lXLsi+fCz+iZRjba3tkeKokQ/RFiTTjHoT2BodTz7nkG04zILNDKOsj1NC6UYnD9cohRpSnv7OfUxSCgouYxQwY8aRe5t680Qhe6wRHGPlV4j3+EwXdSyMWYbTznsSjpf7NeLP3DBAD1JhMPRerZK1Cv0q6Jc7bxTMie0RrK/v/27j+m7fvO4/hzF319kVFEG8lih0DkHKJQlMFuczc5y+ZGNekRtIRIERVXxrZcbymKqBLRVektoMoJCuuVtAdCCd2Sqj5SJIQUGs1lxUydo16t7rxIoIg2iuvOomJD1pJaXFCExe3+sAnGmIQfgQB5PaRIxNjm8/39+by/n+/7vWXm+eXWwGXa287S84meVRQRWaqFBbawsNMZry442vuftPYllW6fjDHqP8/Lzf0MA7l7aqhILTV/dzZQakBkfnK/VxoPgoz10tzaTyh5LB6LMuzvpuuTpBc3FPLU1MD47dfpuJp04ZiMEvI0cdQdZAID23M1OGbc8J/f7LK7ydLTBL/um08sOdBnTZltsGEbTxTHf/Rc7Jwe1E9GCfW1cKzJR1Z1JeUA5GHdkrKuNxbjcJqBGJ5zr+MJzgxcTIwM4T3vorl/5sV0anlM2/PmzHNz60+JvENpgl8L3kaLbOe9ZGwvjrchNsDnf07zhoiP9jPd+IIj3E7txMcifNZ1lvYwYNixbU/6Xf5+ap2Jks9najlx0c9wNOkLJmPcjoQZ7Oukuc2X0rnPxF5dGZ+BFOzkyEsteK6N3H10E4A744wGfXjaXHTNM0XS0lgoejIeABntfzfNuh+go+E4rWHjvvnSTIZB4KJrdhnsWIRB92lcV8aBTMqrHAvKn2TdX0P5ZmDMx4lj9XT5w9ya8f3j3AoP4L3YTPucgbU5TMZmrn9gIhom0N3EkZc7CcQg11bD4T1pZgJdfw9Xlx+P/zIut3/V3eXP+ufnqdoM3OznRKObwZGZO/rtYD+tv2ihZwzY7OTQ0/cuBrJoiz3Wskt5oSwTiNLTfJqOqynHSjSIt7X+7n5VUe1cZJXepVq+49pk+xfqig3i66CeC1dm7vsT4yOErlym52ry+dRG1b8WYyJGwO2itS+YcrxEGLxYz9GLQcDA9tzBGbOU1x2tj4TpQCmBX9PUE5zuu0H8WPS04LoYJmPj4nJaZuUmitwE36PLn9zXSvxbQFtNd3y4Gt0EwjOvSbeuunm5Mf74vGl7JeX/9IDyby7p2r7K5NgoyQGIcOGNswRGU879YT8djS30xIxV83i9yYjR8+ZpOvzhmftlNIi31UVrEDDyOXzAltIXWal+1RBdJ8/jvRrmVurM9Mkow1fO0n4FIBt78ez+wu0bQ/GxgFHM1n+Y+b2eN7vx+P1caHXjX8mbdyIi69CCc2xl7KrhVKieE30RvO56vO7UdxgUlL3Cqcr8WYPhec0GuheLk8MvDDF6LsBwwM3RwKw/jq3aMeP/1ooG6sLHab4WputMHV2zPpFJyQsN1O5KuRjNa3ZZhOHr8U5DuscX7jvj656BPjP2A6XkDvQyfLOfEzX9KW1uorY4SLMbMLalqZxlUFDxElU3TtMRDtL+ai3taZpgq06/PPZ7BvPis/VmPf4Ii9hGi2nnfVgK+XYOBL6M4A2MUJaTOmiPMXr1Mp6rlxNNiFfdi0UjDE91WgwLFXU/ThnkmCn40S859Xf1uPoiDPae5UjvHG3Ir+ZQ6mtZThoa4XSDG38kQHtTIO2yApQ75vjFA5a1u5ryD5rouZlY94YZ62aD0dFoPFhj5FF1/Hked9fTmm6GfULJzxoo+uR1Tnc24U1bddvA/pMGDu1Y4GwIcyGHGuswNbTQFQnT0VZPxxxvXdA+AvBpJweb+hNVICemlznR3qLyOl45UEhGmvx8E2O3p2c93I7/vFoGCQBsyKei8Tg0NdMR7ufEy/1p32ayOGlwVVOwbIP5xR5rYK34Ja9xmhOeMF1njqc5dyc+e/QkVak3UVbSsh3XmdiPNHC4xUX7tQg9b9XT89bsd9mq7YkbHHEZu+po+78WXG8F8Lpdaa7RAAb26pO84lz/+V60PuJMtoPU7gjQfC1GoNtF5awKxAbWPXW89vVujrjnmXE/2Y5Sarf7aL4exdNWh+d8Jta/HycUzaP2jQZK5r1qbdQefQzPm724fjH3eetUnZOshVbBndMSr+2rSjYl1aV4/6OX0E0/rro0M643FlLXWMrndc30rHwDU1j46c9ruH3xNB1t9XS1pXmLYaGi7iVK0t29WKF+1f9e99Fx3TfVIHKzHsMY/4rQWOzua/af1CXyRCaL8elAfCxg+m7hzOrqd8aTbvg8gAqfIiKPuEUkjzdTUN3Mr77Vz6XLvfhuROJ3QDdmUlTooOK5/RRlpR9kzGc20P1k7XqRtu0D9PxXN7+/MZK4qBg8btnGzt0O9tpTZz5ZcPy8Fesf3qfrfR+BL+KDV9MmC9+27ePZgw6s6eJW85ldNhZkMJEkP3V68XxmfN030JdfyRsnLbzd3o33y3EmDDMF33BS9aODFFmAyEB8ID5XnglzPhWuMxT9rptLvf/DHyPj8encmywUbLPh2OPE8UTS+roTJjTn8kyZzkUy6/HHhAVvo4W2876ysX0/m/bOEUIf+Aj9sHJmZ2Kzg8PHwdrnI/D5CKHoOKHRceKdlWys9r1UPGMnN10HY4OZoupm3n1mAG93L96hG4Sm7uwaZqybt/CEw8FeR7rKOEC2k1fanyT03+9zyRtg8MvI3RkEGZkWtm6dWt4FLO5SmAs59EYztktuuj4cYjA6TmgUMjLzcOx0cmCfA+sm+Gy7AXMGtvIp2J6H3d7KO9fSnxfKK/Ziy1nkIz6biql6/RwlA730/NbHYGg6KGLaZCEnN5+S3Xt56jsLHJQaZqyZBqFohNAYs7bfrOqQSUzfcFBhCdD11WOUPFO8OpNNbyqkwtWK/Q/9vP+hj4+ntolhxrqtmJLd+3nqO9lpA3cPzBKPtYLKk7zzfT+/f8+H99qN2eeS3XN8dqUt13FtzqPs+Hl2Jo6rPybt+xmZFoq+VcoB2+z9PusHL9L2xBDevl58Hw8xmDhHZWTmYdvpoGyPk4L1G8OZResDILkv5J/eRw1MYbz/AAADGUlEQVQz1m1PUrZvHyU7LHBtC/MuJZn6/f/exOOX3HT8bojPxqKEJs1Y/3ELWQsKnEeYyK7htRYHgQ866flwanvFj3tH6T4OPF3I4w/6vLXUa/sqYiqs5M3XivFevozn6vRyZGTmYds9dc6NMJHP4jb1g2QUs7UwnwJXK/a0/fRSDuy7z/G57P2qQp5trCHrNz68wT/xZWSc4dEI8X3SQsGOe7Qx+jFeP4CZit0pM842FuLYY8Hb9xU53y0hzalcREQW4Gt//Uv0byvzpyJ4X62jNQiOF85Rt2s95rFINsSFqiZ6MFP16jkqHkb+l0fZeID2Iy14YgZlR8+lqVIjIiIiq0KkH9cxNwHyFzjDS2T1GvUc5986RyCnkl81lT6kR+ZFRB4NC8yxtQSTI4mqIPeaDbSO3E0Wubh8YrJEZht792cDMTy/WeU5MURERERk/RgP0NM9Apgpr3pYeSBFRB4dKxfY+mIoXr1qVvLE9elussj8bWxdl8loV7/cH77I4Rwg2MmFj+5R4lxERERE5AEJvfcOnhiY7M9TtUNPDYiILLcVC2yFPvHFK+nZUpInrktRAh/Fk0Vav1m46vMxrFsbsik7Vo3NiOE7/y6BNV7FW0RERERWuWAnzZ4obHZy6qep1RxFRGQ5LCJ5/DxNxpjAwLQBbn/RTUfvOGCm3FG8Pk/wSct766N36bgGkE/Z92aVSJGVlOWk4W3nw26FiIiIiDwK8itp66h82K0QEXmkLF9g66aPpmNuAkkv5TpfXL/TcT/t5GBTcmlqA1t1jRKgioiIiIiIiIgsk+ULbG0wyNhkwFgM06Zs7E9XcuhA4fqcrQVgmMndCMN3ICOzkJJnK6n6gaJaIiIiIiIiIiLL5Wt//Uv0bw+7ESIiIiIiIiIiIgu1clURRUREREREREREHiAFtkREREREREREZE1SYEtERERERERERNYkBbZERERERERERGRNUmBLRERERERERETWJAW2RERERERERERkTVJgS0RERERERERE1iQFtkREREREREREZE1SYEtERERERERERNak/wdbs2b+09gn0gAAAABJRU5ErkJggg==" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![image.png](attachment:image.png)" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 37, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "for 80% confidence:\n", + "left end: 0.20248138545542083\n", + "right end: 0.3118043288302934\n" + ] + } + ], "source": [ - "# your code here" + "#calculating 80% confidence by hand to understand logic, then checking using stats library...\n", + "c=0.8\n", + "z = st.norm.ppf(1-((1-c)/2))\n", + "pr=27/105\n", + "print(\"for 80% confidence:\")\n", + "print(\"left end: \", pr - z*np.sqrt(pr*(1-pr)/105))\n", + "print(\"right end: \", pr + z*np.sqrt(pr*(1-pr)/105))" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Interval for 80% confidence: (0.20248138545542083, 0.3118043288302934)\n", + "Interval for 90% confidence: (0.1869856177645281, 0.32730009652118613)\n" + ] + } + ], + "source": [ + "from statsmodels.stats.proportion import proportion_confint\n", + "success=27\n", + "n=105\n", + "alpha1=0.2\n", + "alpha2=0.1\n", + "\n", + "print(\"Interval for 80% confidence: \",proportion_confint(success, n, alpha1, method='normal'))\n", + "print(\"Interval for 90% confidence: \",proportion_confint(success, n, alpha2, method='normal'))" ] }, { @@ -76,11 +157,34 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 41, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "425" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# your code here" + "#finding z value:\n", + "c=0.99\n", + "z = st.norm.ppf(1-((1-c)/2))\n", + "\n", + "std = 4\n", + "error = 0.5\n", + "\n", + "#error=z*std/np.sqrt(n)\n", + "#np.sqrt(n)=z*std/error\n", + "n=(z*std/error)**2\n", + "\n", + "#since we are selecting sample size of people, we have to round up to the nearest whole number\n", + "math.ceil(n)" ] }, { @@ -94,11 +198,36 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 47, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "3138" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# your code here" + "#finding z value:\n", + "c=0.80\n", + "z = st.norm.ppf((1+c)/2)\n", + "\n", + "p=27/105\n", + "q=1-p\n", + "error = 0.01\n", + "\n", + "#error=z*np.sqrt(p*q/n)\n", + "#np.sqrt(p*q/n)=error/z\n", + "#p*q/n=error**2 / z**2\n", + "n= p*q*(z**2) / error**2\n", + "\n", + "#since we are selecting sample size of houses, we have to round up to the nearest whole number\n", + "math.ceil(n)" ] }, { @@ -121,11 +250,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 51, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(6.303419026585921, 25.69658097341408)" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# your code here" + "n1=40\n", + "mean1=418\n", + "std1=26\n", + "\n", + "n2=50\n", + "mean2=402\n", + "std2=22\n", + "\n", + "c=0.94\n", + "\n", + "#(mean1 - mean2) follows a normal distribution with mean equal to difference between population means\n", + "#std of difference = sqrt (std1**2/n1 + std2**2/n2)\n", + "\n", + "mean_diff=mean1-mean2\n", + "std_diff = np.sqrt((std1**2/n1)+(std2**2/n2))\n", + "\n", + "st.norm.interval(c, loc=mean_diff, scale=std_diff)\n" ] } ], @@ -145,7 +301,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.11.4" } }, "nbformat": 4,