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混合正規分布モデルの尤度函数
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"source": "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#混合正規分布モデルの尤度函数\" data-toc-modified-id=\"混合正規分布モデルの尤度函数-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>混合正規分布モデルの尤度函数</a></span><ul class=\"toc-item\"><li><span><a href=\"#パラメーターの真の値が-a=0.5,-b=1.0-の場合\" data-toc-modified-id=\"パラメーターの真の値が-a=0.5,-b=1.0-の場合-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>パラメーターの真の値が a=0.5, b=1.0 の場合</a></span></li><li><span><a href=\"#真のパラメーターの値が-a=0.5,-b=0.1-の場合\" data-toc-modified-id=\"真のパラメーターの値が-a=0.5,-b=0.1-の場合-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>真のパラメーターの値が a=0.5, b=0.1 の場合</a></span></li></ul></li></ul></div>"
},
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"source": "# 混合正規分布モデルの尤度函数\n\n黒木玄\n\n2018-03-13, 2018-09-28\n\n混合正規分布モデル\n\n$$\np(y|a,b) = \\frac{1}{\\sqrt{2\\pi}}\\left[\n ae^{-y^2/2} + (1-a)e^{-(y-b)^2/2}\n\\right]\n$$\n\nの尤度函数をプロットしてみよう($0\\le a\\le 1$). この確率モデルは $a=1$ と $b=0$ の場合に同一の確率分布(標準正規分布)を与える. ゆえに $b=0$ と $a=1$ の近くで通常なら起こらないことが起こることが期待される. \n\n最尤法の漸近論によれば, 正則モデルのケースにはサンプルサイズ $n\\to\\infty$ で尤度函数の台はパラメーターの真の値の近くに集中して来る. しかし, 以下のプロットを見ればわかるように, パラメーターの真の値が $a=0.5$, $b=0.1$ のとき, $n = 2^{18} = 262144$ まで $n$ を大きくしてもそのようにはならない.\n\nこの事実は, たとえ特異モデルになるパラメーターの真の値全体(今の場合は $a=1$ または $b=0$)が測度零集合であったとしても, その影響を統計学的に無視できないことを意味している. サンプルサイズ $"
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"source": "using Random: seed!\nendof(a) = lastindex(a)\nlinspace(start, stop, length) = range(start, stop=stop, length=length)\nconst srand = seed!\n\nusing Distributions\nusing PyPlot\nusing Optim\n\nd(a,b) = MixtureModel([Normal(0,1), Normal(b,1)], [a, 1-a])\n\n#loglik(a, b, Y) = sum(logpdf(d(a,b), Y[i]) for i in 1:endof(Y)) # very slow\nlpdf(a, b, y) = log(a+(1-a)*exp(b*y-b^2/2)) - y^2/2 - log(2π)/2\nloglik(a, b, Y) = sum(lpdf(a, b, Y[i]) for i in 1:endof(Y))\n\nfunction plot_lik(a₀, b₀, n; seed = 4649, bmin=-1.0, bmax=1.0)\n srand(seed)\n Y = rand(d(a₀, b₀), n)\n L = 201\n a = linspace(0, 1, L)\n b = linspace(bmin, bmax, L)\n f(a, b) = loglik(a, b, Y)\n z = f.(a', b)\n zmax, k = findmax(z)\n #i, j = (k - 1) ÷ L + 1, mod1(k, L) # for Julia v0.6\n j, i = k.I\n z .= exp.(z .- zmax)\n\n sleep(0.1)\n figure(figsize=(5,5))\n pcolormesh(a, b, z, cmap=\"CMRmap\")\n scatter([a₀], [b₀], label=\"true\", color=\"cyan\")\n scatter([a[i]], [b[j]], label=\"MLE\", color=\"red\")\n legend()\n xlim(0,1)\n xlabel(\"a\")\n ylabel(\"b\")\n title(\"\\$a_0 = $a₀, b_0 = $b₀, n = $n\\$\")\nend",
"execution_count": 1,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 1,
"data": {
"text/plain": "plot_lik (generic function with 1 method)"
},
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}
]
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"cell_type": "markdown",
"source": "## パラメーターの真の値が a=0.5, b=1.0 の場合\n\n以下のようにサンプルサイズ $n$ を大きくして行くと, 漸近論の予言通りに, 比較的容易に, 尤度函数の台はパラメーターの真の値の近くに集中して来る."
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"cell_type": "code",
"source": "@time plot_lik(0.5, 1.0, 2^4, bmin=0, bmax=2)",
"execution_count": 2,
"outputs": [
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"text": " ",
"name": "stdout"
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"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "2.111680 seconds (4.76 M allocations: 234.329 MiB, 4.95% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 2,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 1.0, n = 16$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 1.0, 2^6, bmin=0, bmax=2)",
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 0.257296 seconds (83.75 k allocations: 2.929 MiB, 2.81% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 1.0, n = 64$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 1.0, 2^8, bmin=0, bmax=2)",
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 0.545055 seconds (84.13 k allocations: 2.938 MiB)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 4,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 1.0, n = 256$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 1.0, 2^10, bmin=0, bmax=2)",
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 1.999134 seconds (86.23 k allocations: 2.993 MiB)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 1.0, n = 1024$')"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 真のパラメーターの値が a=0.5, b=0.1 の場合\n\nこの場合には, サンプルサイズ $n$ を大きくしても, 漸近論の予言の通りに, 尤度函数の台がパラメーターの真の値の周囲になかなか集中して来ない."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 0.1, 2^4)",
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 0.377021 seconds (661.19 k allocations: 31.127 MiB, 7.63% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 0.1, n = 16$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 0.1, 2^6)",
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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3M3ujVfpDnnXn3GSV/pA32ZZ733LLcK8lEOjtLvC97dLC0NfuQm93ce9td7p1pQWm2V3UnWzpWfmm0rWQ48v5YL1bdprcybIFOuf+jNjim0uV72VSwbb8Ap1y86OzhZcv22yB5hZsb2HmrnbEh062EDN5CzVboNkCbAfr8+y++7rZCWwF91l5t32XDaRcd6y0e213r+7PDxZ3heX+W7qmC9y16C7g7jPSDeUPIkmbQHuU17epJk6ciJUrVwbqHn74YYwfPx4NDQ3IZDJobW0NtVm5ciUmTZpUy6mSSCQSiSRUjyLqnTt3eqciAaXwq+effx79+/fHyJEjMXfuXLz99tu48847AZQ8vH/+859jzpw5+NrXvoYnnngCS5cuxd133+2NMWfOHMycORPjx4/HxIkTsXjxYmzYsAHnnXdezV8fibQ3kjRPy/77tSZpVp9CWtom45JzzqVetrWddem3yQpuaTdy5Sa7tN3a29pZurrb2L2t8pXVNXNXJxvc6pZf3a1ut+zk3G3cDCNojpJzPnrWJek0I2hWzxM0R9Yygua3wEWy+K1u/n6aa1cIPsPhnlnk5oJ8j8bSHrVQP/PMMzjqqKO8MrMTn3vuuVi2bBk2bdoUiH8ePXo0VqxYgQsvvBC33HILhg0bhp/+9Kfe2bsAMGPGDGzbtg3z58/Hpk2bMHbsWKxYsQKjRo2q3QsjkUgkEkmiHhtHXU9qa2tDS0tLd0+D1IPVHSTNl3ni5cdKkqTZ/VqTtN8u3YBcoI6RNCNj3kmMkTSr94jau18i6b6u01iIpN1yX7vNI2hG3XauNEbIaYwnaLc+RNLMFp1LKa7pMkG712LDQBStfnBsRs6MlHNcOcuVXecx5vCYcss8WTP5nckcDpkdzkbNnMaKzLmsi6vvCl6Z81ihPXjNs3IX0OHSeoc7ZmchWGZOZZ5zGedMticNu3MHMh/sgQUH6XbXGXG3z5msq4gBD2/A9u3b0adPHySlHkXUJBKJREpOnfan0Ja7AJbdHPbK5pyq4LjXAndl6rICzX3faMiRFHmOdMuMLy3OQYw5jHntfB8IWB9HVlbUFwEUC8hufA79nlmGdPv2qBeUqGihJpG6WSY0bUrSsvZxSFpF1CYkzeqrRdKydn4Pb56ks5xNupEjaxVJM2Jm5M2TtN8ezUg6lSl5M+c1bdEVkTRQouhsiQSL6X5oy12A3n1Hon/fhvJC7S3YvBe0HagOl/mFuYKFGtxiyYzWDr8Qc1evXZFrVyy38W5xfVk9d9/yhrbQVQC29vo83h3wcYxc/v9gFfNar65S0UJNIpFIH0EVrX6w7Gb079uAXNYWLNSsrFqoOfL2lMRCzeotrswv1PxWOoL1jhUkY38bfoEuBhdu/0KdSwMNLTls2D0AXb33QWb7JtULS0S0UJNINZapPTqqj64tWlZvWWltkpYRNaNfWXv+fpme01UjaVHctL/cgFyIpHnbtFfPe3lLSJonaJ6kPS9wa2eZpCW2aJ6kC0mQNFCiadeb27EbS4uy/8t9FwEIFmhZmYkncAOFtrpVi373uVaxmThRceEJqwc7rJNIJBKJtPeLiJpEqpGqaYuW9TMpq0haFk8dh6RZudYknfLZpWUkzXt5m5I0HxvNSJp5g6cyHXJbNOfV7aUIdTOQVUTSQImmWVx0uhGA5aNpbutbStDcVUbWkVvf3BY2G4Mnaw9f2bN42zX3KBloWxH3eoCIqEkkEolEqmMRUZNIVRaRdJik2bXWJJ1ziSxrdVaNpL04ai4zGbNLF3JdUlu0lKSbEiBpAGho9uXs7uWSrAXAFpB0iiu7Ch2uEU3QLO91MGUH34cnaOFQnr5wzFk4+OADcf21l0Y3DJF6zxQt1CQSiUSKrQKANVYGm600hjgFfM7pNDzzLXmxI4zT6e6eSTKirW8SqUoSeVTHbVvykA7f5/vpltl4tp326mRfuu1SqRIhl/vl3K+05+Ht/0qlfN9bGaSsDGw3Bzf7YvHOqjL7SrlffDlnOchZDrJWp0fT7PtGux2NdjuarNJX1u4sfVnBL3a/t7XLy9fd296FZvert7Uz+OXez6b3IJve45J0iabzTZ2lr1wX8l59+auYK5Romp12pfxKl7OOsVhp5uGdbiqRNKNpVmdnEbBRe7bqVOnLsnzE7bdllyn8AasJYxqGYGrDPjgn3Q9TGwZiTMNgPGA3wrJsWL72pbIV+PL9JiNA5N6zQ7/xmPW1i/D46qfw81uWIdtrP2R77Yc7//N+ZHvtj4cf+R9MnHIaeg84FGvWPotZ3/gBTj3ju4ER/t/cn+ALx8/yyo7j4Lqf/RKf+pcT0DJqEsb/65m47w+PSP8vdoeIqEkkEolkrAesHM5I9wvtKr8DG2ek+uKewoeY7nQk/tzrr7sM69f/Hw48cD9ccdkFAICXX34VAHDpD6/Djxd8H6NHDUPfFr0UnlcsWIQHHvwLfnbtJfjk6JFY88Sz+Mp3LsfAX/fF4RNbE59/HNFCTSIlrCTzdidtkxZlLotrk5bFT/Oe3LJ6RtJAMrm7RWW/TRoIeniHcnhzp2Ox+7rx0XyO72y6ZNMux0qX7dG8LZq1KXt3q2zR3JnSUTZpIHgiFvP6thtL5zWH4qiZhzVXZuczWxYKAOakW0qLNEe+jmXBchz8v1QfnJDf5tsGd3xjuVm/vDwmfPw0t/z7vL9bWlqQyWTQ1NSIIUP2AQC88krpVMXLf3g+jv78ZISP3xJr1649uPm2X+NP992Gw1oPBgB8fORwrH3qeSz51f20UJNIe4viJDBR9YuTCjSqHHWwRqULtOyoyqgFGoC31Q2oU3/qLtDsoA1VMhO21Q3oL9BsIQ4lMOEWcLZASx3GmjpD4VmxF2hWZgt0Q+/SNerISva9lQXy7hZzIDyLC8sCqy4v3GusBrwdcWylY1l4CymssRpwBDtQIyJcq7xgeyNI+kR7hbV+ZmzkfV5/f+X/0N7egWNP/VagvrOrC+PGfsporGqKFmoSiUQiGWmTprvYphq7QfVqagyUbdsGf0BkV76cn7vons71wF03Y9iQQW6luwuTrp/lsX5mQiL1MHXHFresXvdgDVF7FUnz4VUqklbVs+3ukqOX3pZ3yrumA+U4JA3Acxpj3/vv6SYw4UmbJ2k+eYk/XahH1E3uoqEkaHY0pSFJi+rZMZVodFHWpWmOpK0QWZfpdqjm1vIwC7Dc/qUFU5eUuZO4uK3xhkwDCoVCuD2ngQP74aW//zNQ978vvoKGhtLv0QGf+jiy2Qw2vr25vM3t5fqun5guWqhJJBKJZKTPOV0Y7hTwDmw4Au9sy3EwHEV8ztv2TlajRg3H00+/gDfefAvNvZo8MuZ15BETcMPNy/Cru/4bE/7lINy9fAVe+vtrGHdwaVu7d+9euPBbM/H9y65HsVDEpAnjsGP7TjzxzP+iubERM08/rirzNxUt1CSSoZIkaUBM05UkMPGPqTpQg4Vf+et4IjYlaZmNOm257TwqTmuTtKwsO6pSlcwka3dqk7QsgQlrryLpcLrQMlEbpwRVkXSalZuC9X5btc2IOgcEkp0wZzGxE5nfmSwN4Mbibsywm2E5TmCxtlz6vaG4Gykf6VpWlA1aM9OJqwtnfw2zZn0f4z4zDXv2tOOO237sG6f8zKlHT8alF38Dl15+E9rbO3Du2SfirDO+hJdeLlP2lXO/iX0G9sO1P/0FXn/zbfTt0xvjDtofF5//lehJFK3SVw1ECzWJRCKRjDXd6cTy4k7MsZvwls9mPRxF3FDcjelOZ9Wevd+Y0Xh81W99x1g6OGfmyeHjLgFc/oNv4/JLzwsdX+mdN21Z+M7Xz8R3Zp3p3qetbxKpx6kaXt1AbUla1o8lKBG15VN+mnp1e/WcHdpvZ+ZtzjIbdJIkzcqVknRTQ6lelQY0fJRll3lK0CRIGih5faeype+LDSgTqOUj6SBRW7LDOABMd7pwQmE71lhpbIKNoSjic07eXbYFW+IK7+5yulH+/kdbtFCTSCQSKbZSAI5w8sp2pPiihZpEkqgnkLQs3tokiYluIhNdr24dkmblSklaRtAeYXMHbPjbJU7SHDkLSRoo0XR3kDRQomn3e8v1+i6l9kwhbIsOe3uLyyqFPb3liU4Utmr+2MtaqJbPkohyfZNIJBKJVMcioiaRONXCq1vWL8n4aP81ynatsj2LjqeMqlfFRvvpWdfbm11zdolKcy4Z65I0f58dqgFoZBwzJGnZNUDNtSZpVrYzsNjPy2lCidVkNmom8TGWlvDQDP44y8Cd0Bj63t6ydmbe4j1VRNQkEolEItWxiKhJJMSzRydF0v6yqVc33y5O3u5KDtUAID1YQyfrGE/OfNsGlDyUmbe2jKQ9r27O+7t8vxTr7Kdk2eEalZI0X+/Rsd/TO2mS5utZrLRH1qWrbedgufHsjlN6b2U26rDXN7j7YpXbO+5z/HdNyfejQcwqEVGTSCQSiVTHIqImfaTVU0laFR9tkm2sktOvADlJyzy6RTbqsG26RJQ8STdKTrwyIWlW7haSZtdKSZrd523QrL3txkr7SBoALCvnfV8sZl369X8l6e3t9grETsvipmU5wOtHlgzqa5CdjIiaRCKRSKQ6FhE16SMpE5JO0qtbVC8i6yTio6Pa+SlaRdCheglJy+zMUWUVScuIWZ2JTE7SQMkurX0KVpIkza7VImnm9e0SdSrVDACeXdpvo7Zt5vVd+orKQBaUrF7mke2/n4zNedbXvo///NW9mPXVM3HLz64KPOP82fOweMk9mHnWiVhy29WY9Y0f4MPtbfjtr28UTne/zxyHNzduCj3j6rnfxve/85WK5pmUaKEmkUgkUnwVCsDqtbA2b4IzZAgwZRKQ0juvuhKN2Hco/uu3f8B11/4AjbnSB7329g785rcrMHLEUKOxrrjkPPz7WdNLBTfHd++mpkTnW4looSZ9JFQvtmhVOWmvbp1sY5VmGjMlar+nd8rLNFYirSxH0CqSDtus1SRdqt9ZzkBmxzsFKxZJAyWa7gaSZuXyzzULFj9t+U7PKkvDRn3/72BfeBGst972qpx9h6F447XA9BOCvS1LEGMtpvOw7TqscePG4vU3NuCB3/0RZ84oPeuB36/EvsOHYPTofaX9RGru1QtDBg0oFdihHXV0KAfZqEkkEolkrvt/B/v0swHfIg0AeHsT7NNnAvf/vupTOGfmKfjlf97nlZfdeS/OPefkqj+31iKiJu3VqldbNF82OT86qj2fNUx137Zzwjr/VSdnt/8+T85RebzLJB20McvipXnvb0bWTbZL0q7dmdm2o7KPmZK0NHe3CUmzcsIkbaV6AfD/7JoD5aCNmv1OlIia9/rWIulCAfaFFwGOE27tnk9tX3gxiid8ybcNHmWjjme7PuvME3HZ5dfhjTffgmVZeOLJ5/CrZTfg8cefKg0VQeR+/eCqn+LKhYsCdff/8kYcMalV0qO23um0UJNIJBLJTKv/J7DdzctynBJpr14LHDmlatMYOLA/pn3xSPzq1/fDcRxMO+YIDBzYz3icOd8+BzNnHFcquFvfwwcNTHCmlYkWatJepWqceFUtkvaPm7RXtyx+WuTJHTfTWBJnSWetDgDx46V5ktaxTbN6RtJlUg56eVeFpIESTXcDSbNy+XcmgzJJh23UslzeAIDN78rv+cfY/K6PkS0kl2HM8cY695xTMXvOfADAzTf8MNZoA/r3xSdHjygV6tBGTQs1iUQikcw0dIhWM2eIXrtKdMzUw9HVWfowNfXoz1X9ed0hWqhJe4WSPvEKqI5Xt39cUfx0Nby6g+OFY6TjZhoztUnzZ0lnrc6QN7c6Ptq1VdslEo9D0gCQyez2kbPZaVhqgtbIOsaTdANH1NokHSToKJJm5bAfBDs9y8DuOmUynH2HA2+/U9rm5uRYFjB8WClUq8pKpVJ44dmHvO9FamvbiRf+9xV3cqVLv5beGLlvKYxr585d2Lxla+mGS9RN2Sz69G6u2rxN1OMW6kWLFuEnP/kJNm3ahE9/+tO46aabMGWK2AZy5JFHYtWqVaH6Y489Fg8++CAA4Ctf+Qp++ctfBu5PmDABTz75ZPKTJyWmnrrF7a8XOY5Vw1nMf18UeqUKuzINv9JNB5q1OuXOYpJjK5t6o9A9AAAgAElEQVTt3e41Ov2nbKFOZUoLfCHXpR2GlegCDZQWXd0Fmt13D9mQL9DRC3bw94P9ztiwLAeWxRZpg4U6lYZz409gnX4WHMsKLNaOu+AXb7zGdSQz30IOh2U5gQuvPn3cBdUpCPutWv0MPnv4GYE7M884Hkt+Pg8AMO+a2zDvmtsC92edfTJuuWau6dSroh61UC9fvhyzZ8/GokWLMHnyZNx+++2YNm0aXn75ZYwcOTLU/r777kOnuyUCANu2bcMhhxyC0047LdDui1/8In7xi1945UwmU70XQSKRSHuDTj4Jzm9+DevC7wdDtIYPd+Ooj6/ao5fc8ZPSN05ReP+39/zUvV/AktuuwpJb55dtzsXgov/quj8I68lGHVM33HADvvrVr2LWrFkAgJtuugl/+tOfcOutt2LhwoWh9v379w+U77nnHjQ1NYUW6mw2iyE1sKWQKlfSW9wyihb1TWKL21/2X6vpLBZZj7TxFrf+lrf6YA2emHnnMX7Lu1KS9m9rq5zHijmXznhCjkvSfgcxGUlL6i0pOetufbPfwbSvrQWgA+HwLAOdPB3OicfDWf0/wKbNwNAhcD43iSPpSha8+lkseVlFC1YNDuQAetBC3dnZiXXr1uGSSy4J1E+dOhVr167VGmPp0qU444wz0KtXr0D9Y489hkGDBqFv37444ogj8KMf/QiDBg2SjtPR0YGOjg6v3NbWZvBKSCQSaS9SKgUceXi5rBm7TNJXj1mot27dikKhgMGDBwfqBw8ejM2bNyv7P/XUU/jb3/6GpUuXBuqnTZuG0047DaNGjcLrr7+Oyy67DJ///Oexbt06ZLNZ4VgLFy7EvHnz4r8YkraqYYsGxCRdbVu0rN6201V1FgvUCxzGVOQscw6TkbVJOlCZ0xgr6zqHydo5WZn9OS91HiuTtIqgY5A0K8ckaVlqUBVJ+23VQSeyTpTDs3QlO5KyhuQcah7j2bIPFHX4QaPHLNRMvGei4zha3opLly7F2LFj8dnPfjZQP2PGDO/7sWPHYvz48Rg1ahQefPBBnHyyOBXd3LlzMWfOHK/c1taGESNGmLwMEolEIpG01GMW6oEDByKVSoXoecuWLSHK5rV7927cc889mD9/vvI5Q4cOxahRo7B+/Xppm2w2K6VtUmWqJUHL+lfTFi1q76ccXVu0iVc3EH2ghm4CE/2wK3ESE5GHt+pQjbi2aUbS8oM08iHKlpK0zNs7w5V1SBooUbOCpG2OnOUkzer53wfxjkrw97x0dRxd+zRP0mLy1DlQQ/0MzfvSZ/DtYkxFNrJTGlAUllYt9ZhDOTKZDFpbW7Fy5cpA/cqVKzFpUnSs3m9+8xt0dHTg7LPPVj5n27Zt2LhxI4YONTsmjUQikXqSUqnSn/+urq5unknP0p4CgHwXUrver9kzewxRA8CcOXMwc+ZMjB8/HhMnTsTixYuxYcMGnHfeeQCAc845B8OHDw95gC9duhQnnXQSBgwYEKjfuXMnrrzySpxyyikYOnQo3njjDVx66aUYOHAgpk+fXrPXRSrJhKZ125rERtfCFi2q9xO1qS1aRtJevUbyElm8tPqYSnl8tOgqskfnvHslkvaI2tA23StViq9WxUL7Pb09km6q0Lu7wS3rkDQANDSXj6U0JGmVjZr9SQ/bqMte3+z7dNpBY2Ma7723FQ0NadcLXK4yQEpinLl6xwudKt8v1wXv8fVlGufas3oWL+1w9eDq2bOLTrmNF4bFytw03bLFv6yigz154L33t6PX3/+IVNeewOtF0Sp9VUE9aqGeMWMGtm3bhvnz52PTpk0YO3YsVqxYgVGjRgEANmzYANsObhK8+uqrWLNmDR5++OHQeKlUCi+++CLuvPNOfPjhhxg6dCiOOuooLF++HL17967JayKRSKTukGVZGDy4DzZs+ABvvrnBoKdsoQ6Wy4utI2jLL9ChVdEtcvX8Ai4ts/a+ev4R3qIvKwuu+S40v/wn9Ft3N2q5fFpOPEMCyae2tja0tLR09zR6nOLYo+PaonU8umthi5a1qzTDmFeveaCGn5ZND9dIoUSSqoM0GDlHZRvTTQXayNmudUk6nA60TNROzv0jHpekM66fiuwgDRFJAyWa7gaSZmX+99dxUujqyodsyg6X5ctx8pL7HYEya+c4bjx6kd3vgON0uHXs3m73uovrU6pHofQ7g/wu9+qWi5L6AivvDt7vKAAdxfL3ANBZCJbZ/fbS/F1XC6Q63P8PHTZSu7ch01Zqn2pvCFzTuzNo6ypiwCNvYvv27ejTpw+SUo8iahKJRCIlK9u2kGWOcD6FF2Y+4sYKtGMLvePY7rXUruhuNReLRW8xLxZds4O7iBfcBdlxStdiofTBDe4HNDg73Ku7AMOtt9x6i9Wzdm7/olsuFIC8uyB3cQu0uzCj3S3vdhdqd+1PtbsLdTt7j2qfuZIWalLNVEuClvWPImsZQfN9VTZp0yxjooMS4mQYA9T5ukX0rCJp1lcWHy07WEPngA3e9sy8vFW2ae+ISkl2sSjbNIASTSdN0n5iDtwX1CtIWnVcpcq720/Q/iv/fZRYO7YQ82WZou6XF3VxG6/es0FLxuLrWfsin+vbQIqUobXKQiZSj/H6JpFIJBLpoygialLVVA2CZqrWSVf+sathixbX55S2aJ0MY4CarEWe3Krc3ar4aN42LatnHt1+am724qX1vL29nN0SUlYRtcOAM5dWEzUfJ81IOsr2HLgfPJrSb5e2JeRcLZKOQ9SmJC3rX+4X7h91L9iwELwq693xPKdxJ3woh3eNfrRV7H6e7f4ZkEgkEolEkoqImpSYqpVVDKguQbPxdQman5OKpGWx0f771bJF65wlLcvVnbZKNCrLLMZ7dcvOlo6KkZZ5c/NEjYZom7M+SfvszirbdCZ5kgZKdulKSVp0Kpa/HP27K/v/FqTauCStJ00bNW9z5uuraavWJOla2K6JqEkkEolEqmMRUZMqVjVIuhYEzd+vJLNYVDudPN1J26J1SJqVTXN1h67cGdKsvtkuhczIqLnRbpfGTzMql+Xs1iXqSE/ujC2/BwBpNwyHzzjGiDnNEbYGSQMlek6apOXx0wi0ixZro0vQfPiW2hs8HPLF2bFDXt8KcpaVmfx2aKmNWs9WzauWXuBE1CQSiUQi1bGIqEnGqpYtOiom2iQeWlSWxUT7y0l7c6s8tyNt1AnZotVnSTcYk7MqExlPxTw1+0/E4u+xTGWmcdHhE7Dcn2+Imn2e3p4t2ub6cGScIEmXrrmKSZr3+tYladH/m+Rt0EFK9o/P16niqsM2aY6ceVs1T+KK2GgTMe/v7oinJqImkUgkEqmORURNUqoeCFpWr2uLNvHoTtKb21+Oyt9dC1t04OoeDZS12qXkrMrVrfLq5olalHWM3UunS2OZZhorZEpX6VnSUbHR/D0ZMfM5vCsgaVauHknr7TyJ2uhmHFPamUOSk3XIHq6yScvIOdSOJ++oOGqxrdoj527MSMZERE0ikUgkUh2LiJoUUncQtKx/tQiarxedYJWENzegzi5mwa6JLRoo03KDSzJZu1Nqm1bl8JZ5dftt0IAij7cbH62baayYKQTuK0/AktmoM7bvPGnFqVc8ScsI23bfc42sY9UiaZ2dKF2btHZebs1+pXI0levbpHlbtITE/bRs6NVdTyKiJpFIJBKpjkVETQIQj6LriaD5+zoEzbfT9ebmbc1R3tyi+zwdW7Cltmg+77aubVpkiy5dw/ZoWYaxMFmXPLJ5MlYRNW+79p8hXXRtzEpvbq+dIGc3EM7LrczbbeuTtIqwXRu1LDZa5OFdbZKO+r9ZecYxWfy02qNbek8VP20aV+3P8c2Lvye71pFoof6IKe62tk7fOAszX1/pwiyr13EQMw2z0nESA/SSlpgcS+m/r9riZotv2soHyv7FWLXVzUKmZFvYugu16GhK1ULN31cuwNKQK7fMzl1ON8VOAapaoFPc0ZWixbg7FmiZTLfC+bJ8YQ7XK7e8k9oC5xdbkTOZQsyZrB6cymjrm0QikUikOhYR9V6ueidovlxLgubbmZK0jpMYoJe0JD5BB9N/NkRscfvLOQFRy46jVIVZqYha5jBWyOQNwq44MhY5hwXqJQdr+EOrDBOX8CTNk7MOSbNrd5K0bhhV/HAsWbu8lLalBK27BS5LdCI65pJJtgWuUHcce0lETSKRSCRSHYuIei9TtUKrgOoQNF9OiqBl7aIoOW6YlXc/ZtpPP1Hrhl+pjqJUpf8U2aiZLdo0cQlP1HwaUJkdWkjUbvhVKOxKRcwy2zR/sIafknmS5gnbDbdKkqRZfXfapE2lchZTkbjIRm3sRKaySXuTFSQ68V9ldT7ppgqtZSpRWqhJJBKpp6pQAFavBjZtAoYOBaZMAVKp7p4VKWHRQt3D1R0ErUvOsvooO3QtCZofT3ZUIOurImhmkzYl6xQy2t7cDa73tuwoyrR3Xz/kSmWL1iXqVMYlaS4piQlRh721Db26PZu0xN7s9/SW2aAZYdvZwBhJkDQrJ0LS990HXHAB8NZb5Rv77gvcfDNw8skQKSqNp4n3tmhMqf05UHZ9D4rtbmdDglYReJTdWUbSoVCuICnXA1mTjZpEIpF6mu67Dzj11OAiDQBvv12qv+++7pkXqSoiou4hqtQWpdtfRNHVImhRO1lfmRc3386EoEvXcjulNzdHzqYHZ0QlNZF5e6u8uRs4gtY9stKf/jMuUbPEJcxDOy9J8ylLWlLI5Mte3VJylpC0rN7kAA1VG5eokyTpUjkNnpSNSLpQKJG0I7CxOg5gWcDs2cCJJwq3wZM7fENM2oyWRfVS27QuQcuOteTjp0UHbfApRGVe3hJC7o7jLZmIqEkkEqknafXqMEn75TjAxo2ldqS9QkTUdapq2p6BaA/uuKTM18s8uPmyKI46Thy0TrsoO3SlBF22UYtjoKPs0LZH0KVP7cwGHSJmGUkr46Xl6T9NbdH8kZQFzgatS9ROxpF7deuSdIPb3zTtZ7qxTM4p17vbLVupXgCiU4BGlfl6ES3Lfg9lf5ID/3c2bRK2CcnXTkzR0bZnlZd3mJzbhe2EcdQeCXcEy6be3qr4aSaRrZovc32k8dLdQNZE1CQSidSTNHRosu1IdS8i6jpQJfbnJAhaNo5J/LPoGboe2f7+tSToYPucNkGrvLtND9JIIWWUmxvQJ2qPliXZw/xEzZOzzBbdJSHnkHe3e58n6gA1S+Og+cxikvho06xi/nZcvHS1SJrV++3Osv8DTJH/r6dMKXl3v/222E5tWaX7U6ZoHTVZ+VVskxbZrB3e29uzLXcGy1Kv7k5xfYioBVdRtjL/1RVvi+5O2zQTETWJRCL1JKVSpRAsoLQo+8XKN91E8dR7kYiou0FxCLqa5Cyrj0vQOrZof39RdjBTgtbNxx1lh45L0DJSlpN26Q8oo98GdPi+zwfuyeKhZUQtO+mK2Z9DebytPULKBtRx0bpE7WUZywjs0SFilpG0W45Dzv56f7Yxt48lPZ4yeZL2X4OK/r8T0sknA7/9rTiO+qab4Ew/Af6jIEV2Yt24aS/mWZPEI+OoQ6QsIeZCB1fuDLYLETmCiiJqvo20HE3Wtcz5TQs1iUQi9USdfHIpBEuUmSz2WdOkehQt1FVUvdqeRfUiz2vZM3SJWUbFsn6WFf9MaFUMtHc/wg5dbYIuU/BurtwpJWpVPDSfn5unYhlR+/N4szo+R3fekJxDZ0d7ntruz13kwS3z6hadHw3EI2d/v1TWK1eLpGWx0KKdo4r/BKdSwJFH+ujVkZI0K6tImPfmNs3xzfqHvMKL7WUSLnDe3sZx1DJvb0H8NJM0M1m0jboeRDZqEolEIpHqWETUiSoFi3fu0JAOPSdpexbV+8vVsD2LrpXYqMtUIyFnyZnQUbQsa6Py4o5D0HxZP2d3MB46yvbsL8s8uhvtdjjZ0thdjIglhKyqdzKSE6+kMdF25V7dMnKW3XfLdqpZScgqkpYTc/Suj44/iK5k2cPKClNv3NOvyoQcJGa+XkbocArhuOkiZ4uOnbFM4dEtJGsEJLM58/Uy4raKFiynOjRORE0ikUgkUh2LiLqGSsLunCQ5i54lslWrbM+y9nE8uE3jn1UErRsbbSMd69Sr0tWcoAEE7NK6GcV0CVrVjnl0FzMFLz5alIs7UC+Li9axRQfKPnrm61Re3T4bc+A+f+KV5AQs0ZnQfNw0T8Yykpb9juoQtO6fXlVebnk7OR2rvLt146N1bdUB+lXFTRf4OGlVbm93ClHx0+yqauOemsWIuZ5s1T2OqBctWoTRo0cjl8uhtbUVqyPy2S5btgyWZYW+2tvbA+1MxiSRSCQSqZbqUUS9fPlyzJ49G4sWLcLkyZNx++23Y9q0aXj55ZcxcuRIYZ8+ffrglVdeCdTlcjnv+zhjqlRNcpbd1yVqlQe2//u4tmdVe96+LLJRq+KfbY6Qy1ez+lQEUUdlEgOCcdCAGUH7y1mrM2SbjkvKsrzdLD83o2K/R7csV7eMtJ2MSyB8XHSULdp/31+W5eqW2Zh54ubydIfKLlHz9uaUwEZdKUmr/pxWEgXCS0bQ/H3x1YykZbZpbVu1R88dEZnGOGKWxlErvL3zLmKLSJuPtWby2koIug4Iu0cR9Q033ICvfvWrmDVrFg444ADcdNNNGDFiBG699VZpH8uyMGTIkMBXpWOSSCQSiVQr9Rii7uzsxLp163DJJZcE6qdOnYq1a9dK++3cuROjRo1CoVDAuHHjcNVVV+HQQw+taMyOjg50dHR45ba2NgCMCOWfumQEHfVJu1Jy5u+rxhPFMsvGMLE9+9vJiMS2w6cKmXpv68ZAmxA1O9GK0S4jaBkhq8q8HTpt5RMjaD4m2jsrOsLOzHtzh4jaOzOaJ2NNW7SsXTqjT8oKL+5QWXKWdJSNWkbMpmdHR9umxWL0yfdR26h5e3Gwn8ieLCPpxDOShTy8C5XbphlpF9wyI+i8Io46ykbNiXl56xJ0LUi7xyzUW7duRaFQwODBgwP1gwcPxubNm4V99t9/fyxbtgwHHXQQ2tracPPNN2Py5Ml44YUXMGbMmFhjAsDChQsxb968UH3pUAn5D81kO7vSBZkvmziEJbUgy+5HbWvzW9SmC7LJVjcQ3NZm99KW415LfyRkB2XwIVQNivtR29tJL8yyUCvRtrZ2whLlAqxYmPltbjsT3vKWOYvJFmSuvWUQaqXe0o52FpOl/eQVZ8EOS1wvO6IyahGVLdD8FrasXrUFHjp4w7+NHdrS7pC3BWIkOIl/KIfxwlzDrfAetfUNILQQOo4jXRwPO+wwnH322TjkkEMwZcoU/OY3v8F+++2Hn/3sZ7HHBIC5c+di+/bt3tfGjRtjvhoSiUQikaLVY4h64MCBSKVSIdLdsmVLiIhlsm0b//Iv/4L169dXNGY2m0U2m5XeT8IRrBbkLLvqtlWl84wTUsWTcqVHTqqJupSissHKo8HScwrjyVp1nw+xyvBHUPrSePIEnbW6AmWeqNHA0n1GO4DJQq2KmbxH2UonMe0tbYsrSxzC7Kw8rIrfApeFXbEjKmMlLYlL0mKZOYvphV3xMtnilt1XOY2pCFu6Bc7a+Z3HgGByEz7RiayscjaT0jFf9tVLaDu01V0Uh2nV8hAOXj2GqDOZDFpbW7Fy5cpA/cqVKzFp0iStMRzHwfPPP4+h7oHqSYxJIpFIJFI11WOIGgDmzJmDmTNnYvz48Zg4cSIWL16MDRs24LzzzgMAnHPOORg+fDgWLlwIAJg3bx4OO+wwjBkzBm1tbfjpT3+K559/Hrfccov2mCZizmS69mVZvZ9oq0nOomfq2KijnMGi7sso2Y4g6ri2Z33HsHJyEp6gVWQtO2qywaVgnn6z6AyU/RQtI2a+DyNoaQiVhk3a387JFOM7iaUlhC2yRcvKvG1aaovWC7syCbUyTViia5uWOYQlYatW2aTVjl/t8sQkFdqqQ3Zk5iDmtzfztmdVmR9L6jQW4US2F6hHLdQzZszAtm3bMH/+fGzatAljx47FihUrMGrUKADAhg0bYNvlTYIPP/wQX//617F582a0tLTg0EMPxeOPP47Pfvaz2mOSSCQSidSdshzH2Ts+cnSj2tra0NLSgoaG/rAsWzukSieEqprkLLvybXjyUN5XeG5Hpfk0tUWriDpjlT6R85Qs8uA2DbNiZf6oyYxH1Pp2Z5kXdzHNCDlBggaCVGzqzR0iafcqS04isy+nG0O2ZqlXNxd2pXtgRlS9jJTD4VkQttMJdYwr1WEbpgdqiI65TIyk+YM1eM/t/O5ymbXN7wn21S13FoNXFp7VWRDfZ/V5R9rG6nT/tnSWfr/tTvdviHu1WX0+FSx77crltnwR/f/8BrZv344+ffogKfUYGzWJRCKRSB9F9ait73pX6VO67SubfeIWkXTc5COqdlF0XC1y1omJNvXalsU+N6D0CVxlb/aTtcp7m49/Dnlva3pqi2zVsjjoYrr0qd+UoPl+kTHRMm9tlS06xfopYqGj7M+yFKAKr24ZMfMe21FHUprbnM3+XPIU7B9flchERdB8vYqk/bHTcb2+jUla5NnNJzbRLcts01EpQ/3ypxCNGT/dnalEiahJJBKJRKpjEVEnqFJmMrmNWkXUIs9r2RgqWzOTbqyzf7ykydkkFlpN1MEjJVWxz2XCFtuX/f3CY+h5b8u8uVW26ga7HOMszSTGkbE5QTcEyyL7sjT+mSszb27VQRiasc9IZcNe3cbx0elAvYqkg/30/g/pSuXd7adklVd3WfEIWsfrO+5hHNokHeX1LctIJitrZyCDvGyaOlRBzrUkayJqEolEIpHqWETUCcq2s7CsVMWe2qI+prbm2LHQPs/rpMhZRdT+spycu9xriUZ5UpYRtY5tmpVltmdVWWWbZu35oyY7fTQsI2bHJWWpF3eaPzBDg6D5epkNmhG1jIgVebdDtmkRNWt6dcv8JExs0v6rzp8+FVnHP0hDP6e3nJz5cWSUHL4vomxxXwVJh7KFSUjaT9yioy9FYzg+b23AZ5OWELRnq9bI9e1Kl6C783hLJiJqEolEIpHqWETUCSqdboZlpbyyyjYd5dkdl5xVNmk+v7YoS1ilR0qa598u07MuOcvImK8PETYX++y3L6tsz7q2aFkMdGcEJcu8uxkxh+KgPfuxgqDjELUuIcuyh4ls0bJ2nC1allFMRtDmJF2WyiYdJmZGp+YEHZZenHQlGchE9SU6FtVFeIHLSFpkg/aXRbZrmVc3P0aBs02HyJonaKjLoXtiL24ZQcvrq8+7RNQkEolEItWxiKgTVMlGHc6VXb6vb0eOE/8cKEuIuVyWU7OprVllgzaxO6vIWXbms9xWHfTcznh5uYP25KzVJbU169qeGRXzHtwhKubKIqL2TrRKsxOtGAmng2VdkpaV03b5dKtqEHNUO/f/CyCPj06KpOPGQosVh6DLivL+lpG0aQYyma1alOtbZqNWenfLzpCOsl1rn0MtIWdV3LTWedTi+GlZmSfm7jhFi4iaRCKRSKQ6FhF1gkqlmmPRsOiqtEVLbM2VempHeX3rn2QVz2O7wcpXTM4yGtbx5FZ5ectsz11cWZafm7dN+8vse+9MaI+AJfm1KyFoIEjRMhKOin8OlN0ro1YVWQuy4Jl6b8exSfsVdZ+3TcezQcvHFY1ZaeYx1YlY/nqpHZs/BUsVJx068SoifpqVVdnL8hJylnl1K73Cw7HTKkLuznOnZaq/GZFIJBKJRPJERJ2g0ukW2HZDIrHPqqxgOmQsqjfJt63y3ubza6dg5rEtinmuFjnzntmiMu/VbaWCtuYuha05blnoeS0lYkn2MBOCBoLUm5TNmUU8SOpFnt0yHwtdklYpyqObJ+Y48dBR0ss+Fu3dbZ55LNrrW5SZTBrbrCJmk/hp9hzZWLyXt8q7Wydu2t8+kOub8/bW9P7W9Q6vhoioSSQSiUSqYxFRJ6iGhhbYdsY8W5iAemXEnIQNOlgO18tszbZV+kgqO5lKll9b1o4/paoh4PWdLDmrYqKtVNnzuiDLsy0pR9me/eWQ/Tnti4GOTcyS+yZ0rEvQdsqsXkHLUWdC69qck8rTDVTHFh1UmJ4rj5fW9/ZmZalXNx8frUvMujbtQqevLRcvzQjZuxqelqVsX/b6tlQEzZMyZSYjkUgkEokUJSLqBFUi6mzo072MiqOoWdbHhIxFz5DV++3NDSh9Ak65BK2bHYzP/qXKIsbKfuqVkbIuScvIWRbz7KdnGQnzXtzSskfOXPYwHRpWkrKEsFm5Evuyrte2Z4OWtJfaouWx0LokLWtnLkag6cQIOjx2SXJKlhOx7L7KVh2KgZbcD9iJpSdVxSRmHS9wWby0zAatTdjqU7Rk3t3y+GkJSUdkLquW3ZoW6gTVYPVGys4pt611HL50t65NF2Lb/Q3mj4n0L8ayBTYV6hu8L0vXyW9jRy2u/MIad4FmjmD8dnVnxHY1v+CGt7glzmChRTUdLOtsa4cWYMmCzR81KVtETUKqVGFWvJMYK3Nb3PGSkJgt0CrJQqvCC3vli7TuUZXi7W3ZAizrY7YwR4Zcqba4ZQtuEs5l7Hs+DCsUliVZcGXhW1oJT1QLs3iDWblw10C09U0ikUgkUh2LiDpBZdELKTRqpen0l3XSeKrGCodKlT7dioi5VM87iPkcugydw0Rb2KWyPF2n/75o61u3DxpKV28rW0nF8u1snpz5McLU2xCsV21PS8sRRJ0yJGVZiFQULcvG4J3ErGBZd3s6ql2SzmB+VSNpiSlBl6V2IovrPKYkaBEt81vZskM2quFcpiJpab1uqlAIy1bRDpOx4vAN7cQnNSBtImoSiUQikepYRNQJKoNmpNFYEUmzMh8iFXbs6nLro4nZI2eJfVlEzXGJWWY3NrE3830abEbEQQLO8w5cpiQtsDtLbc48OatCo6LI2V9vC2zUlabp1HT4Ctib+TArWT4yCvQAACAASURBVJ+KD8RAqL0q7EpXPMVWQtKqPjJilt2XU3G5b2yC5kOteJLmKdcpyG3OSTmXyQ7ayDsaNum45KxyMrNDpKxL2Ly6w2ZNRE0ikUgkUh2LiDpBNaI30miKbV/2Uy9LwykjYb5eFiJlGmIlotq4xKzbzn/YBU+6HQZE7C/rknTQ81qTnE1sz1Ht/PRbaXIRmT2ZJ2veY9tOye8ZhkqZkDQvNUGXw6oAOfWakLQ+besRM1+OslWbJjoJpfvkydm7SuzKfspV2agr9QLn6/30rAqzUtqwNW3aPtt06WqFyFmXsI1t1lUQETWJRCKRSHUsIuoElUVvNKCXz9Zc+iQW9rAOHl4h8rwW1QXGUsQ0y2KZGWFHUW7SxMza8bHNjHY7fbRbKSHz7Zw0S9spsztHeF57NmRDcra5+7zntsjOLLM968Y0mxA0f58fo0KSDktth04q/rlMpKyfvo06rle3ystb1F7b9pwEQfP1cW3Uul7gsiMr846AoJP28uav4tjpniYiahKJRCKR6lhE1Amqr51Hg90VScq69aYEzag17cZPV2JP5tukuDFNiVnloe2nZJ02orHClMvFNPOUK6JkFRnrkrPiuEdhhq9KbMxx7vuvhlnBVCSt68ntP2rSX+dvGz/+2dRzW5+odY+mDPdX26hDBM3TbFFG1hEEzd9Xja3y3pY9iz9gQ5RNTGWTDmUiM/USL11E6UFNbdH1kJGMiYiaRCKRSKQ6FhF1ghqY/gDZVHuIfuPYm/kMYyr7cMoqCOtVFCwicGUsM0ezXbxd2C5y7fTtynwb2I57z8DWDJQ/gipp2O/1rbBNs/q45BwV46zKBmZ6P4qgffdFscyqAzDixj6L7M5Jxj9HPVPvXvLe3dJ+urZnGUHzdmYTwpb1je0Fzl42Z3cW1atydsvGCHmJq2zXAipWkLNS3UjYRNQkEolEItWxiKgTVP/Uh8ilOpSnTunYlU1JWdeOLLNh++3LPAF3eFRr6HGtSdYBapZ5VKtszCoKVtXbAht1nCxfUf2i7Me6fSskaCbxUZNMeiStsi/LVM2823KpbdL65WiyVtqdnYI+OSdF2Dq5vnW9wJktWpYFjKdd/31TklYRdkTcdPCqzvUts1nLVMu4aiJqEolEIpHqWETUCWpwehsaU1llrLKMfv31PBGrbNU6pAwAjkevYvtyMV3wtYkmYBlZO959iWe2zJtaRLUyktatF5Fz4D7ca4TndVxyNqFjXTJWtWOSxER7t4X18fJrq8m68ljmuP106nVt1VLCDhG0BhXHJeckCDu2jdp9fSYEzd+XxUnLSJqPl5bUW3lFNjFfZjKehNXnUXc/z3b/DEgkEolEIklFRJ2ghqc2o1c6Y+yRLSJwGZWzelnMMrMLi0i5dF9My/56VVupR7bM09rmPa8lntm2pWdL1rnP1+vYjSuNSa7Eriwj45gE7VVrxTrr/RlQETQ/dlKe2zpjmcZAi+7FJuZQvSYVm7RVxUfLxhHZoXVt1FJ7sMLzOoqOTUlaFj8derY6Rpq3OcvipFX1vGrhBd7jiHrRokUYPXo0crkcWltbsXr1amnbO+64A1OmTEG/fv3Qr18/HH300XjqqacCbb7yla/AsqzA12GHHVbtl0EikUgkkpZ6FFEvX74cs2fPxqJFizB58mTcfvvtmDZtGl5++WWMHDky1P6xxx7DmWeeiUmTJiGXy+Haa6/F1KlT8dJLL2H48OFeuy9+8Yv4xS9+4ZUzmUys+Y1Kv43mdIM2UfP1jJId25HagzsVduJK6x3bCefJFpFvVNnYXuwrV0rMKnty1H2VHdgk25e/HZOOjVrW1quXEbVZzLOOdAk67rjJ9EkgP3dcYmbStSf721dqozYlbL8nty5By6jXmLAFNmqlfRtaz7Dypf8HjGrtPCPrMGH77dX+e55kZKxJ1tVUjyLqG264AV/96lcxa9YsHHDAAbjpppswYsQI3HrrrcL2v/71r/Gtb30L48aNw/7774877rgDxWIRf/7znwPtstkshgwZ4n3179+/Fi+HRCKRSCSlegxRd3Z2Yt26dbjkkksC9VOnTsXatWu1xti9eze6urpCC/Fjjz2GQYMGoW/fvjjiiCPwox/9CIMGDZKO09HRgY6ODq/c1tYGABiZfgd90ikhIQNyihVRMm8flsUkh+o5r27ZsyNpmeXJjutBzbeX1usQtdvXlJjjZPCKG6PMZGpP9lN0TIJORjyVVkbQZu2Tsj1L6mW07P8+RM6axBwaR0HD/va1ip8WjROXoGUkbeKpHceuLbhGxUuX2vH1osxk0V7g9aQeQ9Rbt25FoVDA4MGDA/WDBw/G5s2btca45JJLMHz4cBx99NFe3bRp0/DrX/8af/nLX3D99dfj6aefxuc///nAQsxr4cKFaGlp8b5GjBgR70WRSCQSiaRQjyFqJssKftpxHCdUJ9K1116Lu+++G4899hhyuZxXP2PGDO/7sWPHYvz48Rg1ahQefPBBnHzyycKx5s6dizlz5njltrY2jBgxAnbLdtgNtkfIKqqVeVc7dlFJyDLiltOuxH4claFLScSy+oixRdeUwFara/+Nm/Oayd++UnLmx1T149tHjaWQzBYdx86s8d8pUiZEbUrMkYQcVS+yFxdlbTSJWdZPp313xE8DJWI1JWhtW7Wkv/++KZXzNmlG0nkxUetQs8w2bUzaNSTvHrNQDxw4EKlUKkTPW7ZsCVE2r+uuuw4LFizAI488goMPPjiy7dChQzFq1CisX79e2iabzSKbzepPnkQikUikmOoxC3Umk0FraytWrlyJ6dOne/UrV67EiSeeKO33k5/8BFdffTX+9Kc/Yfz48crnbNu2DRs3bsTQoUON59g+YBcyGcuInP31/n4hG7LMXswojZ0ipUuzUZSrImDVfZ64a5Ghi8k0o5e/n663Nv8svizrL+unM7ZCslhm2X2TsUyl3V/UzpSQZWPp0LJsDFNi5p+p075SctZtJ7IJ8xRrStCmJ1nlBc826QM1SfPe39GZycxs0/Vgs+4xCzUAzJkzBzNnzsT48eMxceJELF68GBs2bMB5550HADjnnHMwfPhwLFy4EEBpu/uyyy7DXXfdhY997GMejTc3N6O5uRk7d+7ElVdeiVNOOQVDhw7FG2+8gUsvvRQDBw4MfBjQVceAnWjPWvJtaeXi6VuETRdH5eKJ8DNk7VQLMH/MY5LhSiYLa9QcZO34epFDl25fJv51qcYLtRPUsz+0sj6yxbAKyUakzwq1kyyyUfelC7PmwqtdFizCSYVhyfolmfBEueXN5qhYAItQOmpVvDBHhXGpQry4+/EX6PBWuGrLm4l3SOMlTzUqeEZC6lEL9YwZM7Bt2zbMnz8fmzZtwtixY7FixQqMGjUKALBhwwbYdvlNXLRoETo7O3HqqacGxrniiitw5ZVXIpVK4cUXX8Sdd96JDz/8EEOHDsVRRx2F5cuXo3fv3jV9bSQSiUQiiWQ5juN09yR6utra2tDS0oJX5qXQO6exdaxDwfyWt/G2M0fSJtvUcUk57ja0v31cRyxT6q3EoUuXoEP3I7azDbe6ayIVIavayUicp2PRGNXY6ubLplvdsn5xCDsujZuQs+y+blslOccgcMUY8sM1zEhaROKyEC47ROtm9/3JVtryRfRd9X/Yvn07+vTpg6TUY8KzSCQSiUT6KKpHbX3XvfplgUaBfVlFtSJKNh0D/H23HCdsqZIQp0B9BYk/+DZ8OSk7sY5jl+oZupKRp5XSp9eknhnZR2GTFhFx1LNUdCx6ZlybdCVOZbqEreonbedrr6LxJMhZ1r7isQzbBWzU0bZoGUnbLkErSTtiHGUKUSbVfU50KAeJRCKRSB9xEVEnqZYM0CSiYU06hq9el4yZkkzWUSv7cJwwJZWtWdZPVa+6B5QpSEbWcT2tk/TQZpJRb+jZEe10Cdmr17RJR4ZIxbRF8+V69Pr2t1NRKfj7iva61BtrzATb5XmClqUCVROyTjsmq2jrj6GpWoZtEVGTSCQSiVTHIqJOUr0bgF62nKCZdLygde26lVJukt7PcezBsnpTz+okvKajbMh+6dJqEs9Oqn8kORt4Z0eNVQkdJ+X1HceWbWJbjnqmrp1ZVBfVVtjetJ+vnDQ5G8yxUkKO206kSp9VSxFRk0gkEolUxyKiTlJNvYAmO9r+K6qPImrdvl47Q6rV8Z6uJMNWVH3UM2XPlkmVyYtvZ6JqeWSbjK9rxzalYNG9JG3QqnI9eXvzfWXP0iXKUL2vrEuj3n1FuyK49hFUXAERx5mD3x5dfVu0vL0OZderiKhJJBKJRKpjEVEnqcwAIGtg442i2bgUaxoDLCLWuGRs2k4nLlmR0zrcvhr24wq9snVs2hVnAVPZqBXEaTK2yl4se0YkWWt4aWvNxYCwVTZlcGUVKcvai/rF7qs7JxPv78ptz4DAa1rg0Z0EGYvvC7y8ufamY9aTiKhJJBKJRKpjEVEnqYZeQIOIUCuw8cbNklVJ3mmTNpWoIu/pOvK8rpSGgepnA5PVi56roljpWBXEQOuOZUrYKkr0f6+iV2V7g3FMbcxx+wlpXjCfqL4atudSWYOKlW2iPawraW/qvV0P3t5MRNQkEolEItWxiKiTlJ0B7IbqeD97Yxj+yCqhYt24Yt1+lTyzUpmMW6mHte4zhTmvDW3NsrnUMu+27tiVxFHrkLFWWVCflE1a2T/i2Unav1X9DPuY0m35vtwOrcwKphzb3NYddY501LNk7WspImoSiUQikepYRNRJihG19H4FdGtK0kxV8YKuNItWArmtTe3bWrHKlRJyQhm+RPeSjm0W1es+I66d2Ctr0Ky0HDGWSTkwB80xdeeiM4e4Num4zxa9Xq5tUuQs6xesq5CgK+mnSdCq3N+U65tEIpFIJBIAIuraSpcCReSdlN00SVU7P3WctnG9p3WekdRpUlFz0SbpmPQr6i8bS5M0C7Dx136H4d3MIAzueBcT3n8SKX/nKBqs2OZcAXGb2pxV5VjPTpDSNeag43nN1wf6Asb9RTQbq6+vv8rDPGrOST2T71dN0UJNIpFia8WgY3HZ/ldjU26YVzd0z9u46h8/xLHvrujGmZFIe49ooU5STgFwErAmFGJ4A5sqVs5rQ9tyEmci67aJaz9mMsnUpbpfqT1ZNIYu9Xr1CgIT1UvbiPusGPolfO2QJeB7bc4NxdfGLcUdf/03HPvOH/TmVCnVxhknjod4rHLEnCq1SbsyJU/xvWhiVpVlc4h6tnQOBq9Ddw66Owey+XenyEZNIpGMVYCNy8b+qLRIW8E/I45bvvzgH6FAf2JIpIpFRJ2kil2lT7rd4dXMy5SYk6Bar10FdmLVs2rtmR1nLrqUG1UflyCN+8d79l/3mYxNjcMlDy8t1u807Yu/9v4sJr27Rj6eioB152Rqq67GmCblmIRcvm9aVtuJY43lG89knKReXxyKl5ej46xl5VqIFuok1bUD6BK8pcaLpsFCn+T2sm67amwza49tuDh69w0Wqrh9qrFAJzWXihbqcJN37UHi8fh2qUHAbtmHo4iFSzqXmB9AqrFwa45dXgDcP/CCP/QVL5bes00WS70FWNY+1lyr9CFBp792GFYdbXkz0b4UiUQy1uA9mxNtRyKR5CKiTlJd24FOUWhVFYi60vSVOu3iUmoS95V9E35md5J1LZ6RpDMZgAmvP46hO97C5uZhnk3aL8spYujOtzHh/1YBTlE8vpBqxVOoaCtf2F+/rw4Rl9qZE2hcMtZ9pnD8ao6tOX4tdgxk9boEbUr71RQRNYlEMlbKKeKq1d8DUFqU/WLl+Y9/DylH9WmPRCKpRESdpNq3AynRJ1gF5Zm0q5RivXZVfEZ3kLSqf0VzitHHdC5J7yDEmZshvR/7t3txR8cMXPavN2BTnxFe/dAdb2H+I3Nw7KsPJP5MNfXy7Rn1mFOeul6P+kTj1PJZsnErfZb5axDNIR7dmtbr7CzI+3a/zZoWahKJFFvHrn8Ax/zz9/jrvp/Du81DMXjnJkzYsJpImkRKULRQJ6kdnUChm4naa1eDZ1WLfhOdQwVzrAadq+53y46BIdVy/VIAJr3yF69adZhBkGSi0zOWx0yIQIVziB6rKnOoEjlqzSHxZxi8/r3g2VHPtHT/PhuKbNQkEolEItWxiKiT1PYuoFPDnpEoOSfdrpbPSoKo9R6ViG2/2jsMGmPEIUW3JzeO/Pc0LsWU78edYxLPrmBuVX921OuO/55V/uzq/Txl4/fE37HutFUTUZNIJBKJVMciok5S2zuADt+nLlN7hYn/TdJ0G6d9UvbyGGMqP1GHxlV/GlZ/Ytazp5qPa/B6NJ9tMkfdtvrtknstyc+tPn8WNf0ZdMN7qtuulu990q+vmiKiJpFIJBKpjkVEnaCsD/Kwsn6ijvdJLM4nOHmfymxB4j4xP98l+rqS7xf/WXvX+1HT96FGP99a/D7Q66/+699rXrehiKhJJBKJRKpjEVEnqOy2ZuQyBp/GqmD7SNKekrRtphq2nkQ/zdbx663nnwX9DLpvLHrvu2+sWpA0U48j6kWLFmH06NHI5XJobW3F6tWrI9vfe++9OPDAA5HNZnHggQfi/vvvD9x3HAdXXnklhg0bhsbGRhx55JF46aWXqvkSSCQSiUTSVo8i6uXLl2P27NlYtGgRJk+ejNtvvx3Tpk3Dyy+/jJEjR4baP/HEE5gxYwauuuoqTJ8+Hffffz9OP/10rFmzBhMmTAAAXHvttbjhhhuwbNky7Lfffrj66qvxhS98Aa+88gp69+5tNL/ctl7INdT4s08deCTKVA/ekjLV69zqcV61JAdj1eH7xVSPP0ugPudVj3Niqofff8txnIpynrHullX9N3rChAn4zGc+g1tvvdWrO+CAA3DSSSdh4cKFofYzZsxAW1sbHnroIa/ui1/8Ivr164e7774bjuNg2LBhmD17Ni6++GIAQEdHBwYPHoxrrrkG3/jGN7Tm1dbWhpaWFrx70hD0oYXaU33/56vPudXjvOrhD5VUdfh+MdXjzxKoz3nV45yYTH7/2/IFtKx+Ddu3b0efPn0Sm0Nsol66dCluvPFGrF+/HgAwZswYzJ49G7NmzUpscn51dnZi3bp1uOSSSwL1U6dOxdq1a4V9nnjiCVx44YWBumOOOQY33XQTAOD111/H5s2bMXXqVO9+NpvFEUccgbVr10oX6o6ODnR0dHjltrY2AC5RpwXnUZNIJBKJFFOxFurLLrsMN954I84//3xMnDgRQHlRfOONN3D11VcnOkkA2Lp1KwqFAgYPHhyoHzx4MDZv3izss3nz5sj27Cpq8+abb0rnsnDhQsybN8/4NZBIJBKJZKpYC/Wtt96KO+64A2eeeaZXd8IJJ+Dggw/G+eefX5WFmonfYnccJ3LbXae96Zhz587FnDlzvHJbWxtGjBiBjV3D0NuJb/ZPoRC7bzWVsupzXkB9vmcpq36PeEzX4fsF1OfPkakef//r+/2qz99/u07npaNYq0qhUMD48eND9a2trcjn8xVPSqSBAwcilUqF6HnLli0hImYaMmRIZPshQ4YAKJH10KFDtcYEStvj2Ww21usgkUgkEslEsRbqs88+G7feeituuOGGQP3ixYtx1llnJTIxXplMBq2trVi5ciWmT5/u1a9cuRInnniisM/EiROxcuXKgJ364YcfxqRJkwAAo0ePxpAhQ7By5UoceuihAEq28FWrVuGaa64xnuOG/DD0QkZ6P8lPwUl/yk92bsl9ck2aAJN4nfTex1O9/v4r52XobvtR/xkUHHM/naR3CEQ/g6ITzymyHkhce6H2b/ValoUlS5bg4YcfxmGHHQYAePLJJ7Fx40acc845yc/SN4eZM2di/PjxmDhxIhYvXowNGzbgvPPOAwCcc845GD58uOcBfsEFF+Dwww/HNddcgxNPPBG/+93v8Mgjj2DNmjXe65g9ezYWLFiAMWPGYMyYMViwYAGamprw5S9/uWqvg0QikUgkXWkv1M8991yg3NraCgB47bXXAAD77LMP9tlnn6omC5kxYwa2bduG+fPnY9OmTRg7dixWrFiBUaNGAQA2bNgA2y5/apo0aRLuuece/PCHP8Rll12GT3ziE1i+fLkXQw0AF110Efbs2YNvfetb+OCDDzBhwgQ8/PDDxjHUALChMByNyMb+dBiHEkyfFefTftxP9XHeB9P3IP57Xf33oRavP+6zevzr5yi3rl5/BXPjX38nGvT6aT+jPJ7pe8C/fl1y1plbAcGxKv1/UNCgZ93Xz5N4dxB2xXHUpHIc9byDfoRcKhe6b/qDTWmcC6k7ps5YAGAn+szk/2jq/pHUfbbOHwL9sfTeF53XkOT8dcdLcv66zyw9l34G5bG652dQenbSP9ePxv9n0d/DasVR13EmAxKJRCKRSD0qhWi9671CP2TRGKpXUa0OqSrHUNzX/pQYMY5qnpXOMZFnVNBfNb+kdhSifhYq0lCPHb+/6nck8bn59vIqec8AIO1UTmjG7x2/xV3B+5dSzJ/NTbYVHn5dwXaRv3OqZ7PtZIi3uvn3jd8SF73nBZcRK3W8K291q+cmnX9oSz/Ir7I5si3xWmyFE1GTSCQSiVTHIqJOUFvz/ZBxmqpKnrJPd5XSYBzSrAb9xn1vVJ/M47yGuHOJ877EfS/jzyFMOXGJUJukDZysQnNxEppDVB9NQpbOQZOKxXOQkDKbAzc34/fBkc+hIOE19uy8hETTEpoNEaqvv4y+ZfOOS95RpB2aAxRzcJKh/0pERE0ikUgkUh2LiDpBfVBoRgN6wUL0STBxqFhGSEkTaJJziEO/poSYJGlKx6ry6xa1r/brNaH6ip/JaM6A4mV2Uxn1yOzLXnsNWg5RasS8tZ4Zqlc/U0b5srAtmW3a5H2Vzze6nidxGYH7X6OMoD2qlfkJyGKTDA7dklE2e6aKrLtTRNQkEolEItWxiKgTVDt2IC/4NGbxn4fcT4d2xOckWZ9QvfuRMlzP7optX7Jni3YDTOk7CTKr52dWgzyrRfOVUHzs1+ORqMZrkrQ1/jlzpKi0LzuVk7Ls9Ukp2e/lLvHiDj1D00atS+Iie3TKktig+fdU4v3tEamUlsM2Xkbdsl2MkLg/S7LEJlFULyNmb94KspbZqmvh/U1ETSKRSCRSHYuIOkG1YwfSCJ8eJqdd/Xo5AVev3numo24bqJfSfyqyv+g18oRfLdLWIexqPIN/ju4zdGlXZ248CcueoaR1R9xObrOWv245OUe388bkXovO+Dz58q9P14bNU6yQknUJWdtGLbZN69ikZeWwDVpse+ZJWmZvLjipMPnr2ph50o5B2Gl+fgmTdTVFRE0ikUgkUh2LiDpBtaMNKXQlQr+mRFzpM03moPusSqhe+gzH8BmOJa53Py3HofikqTcJotb1NBeSpcqmLKNRmX1Zg6D5cUPzVJCz149vp5iLn7iV76nuHBS26xAt+yiXt1VLCVkSR66yTYu8w0NkLLFF83MMk3OQLHm7s9BmzZGwakypDAk7ZRXD86uQrGspImoSiUQikepYRNQJqhN7kBK4LfY0wq70WZWQdNLP0KV8O2IOPMXL2wVJxZZ43EcRuym9yvrxJBY1buK2aE1P7oDXu8r2rCBn6c4Bm6uInjVt6rzdW5fEWTsRLWuTspKQ9WzTAaKWeGV7961oMuZt0CakLc1ExtuqFcQcEvc+8RRccGw5+dcBMatERE0ikUgkUh2LiDpBdTg7kHI6YVnit9WEcpPy5q7Enqz7rCRt1nVJ1DGfpZozK3c5EWMpKF1K5zGoNzaVs/aa1Gvr2ImTpl1uvMhdDH7eCmLukrWLGEeHugPzVJC3LiUDZdpWEXI1SFtqe1YRNOeJL6PiyHE0x+AzmNWDrZqImkQikUikOhYRdYLK57ejWMyE6m1b/DbLyFtUb9IWqI5dvDts1El7mEeNnxSl65K0qFzpWHmFV7ztyInc1PNaRtAm9uIkxgDk5Kzj9a3y9pbNJQny9l4vGOWlA/Vd3OuVkjJH3FGx0mUbstj7W5e0tb29BVSr9O6WkbGkXpeKS3WK+WuScy3jqYmoSSQSiUSqYxFRJ6h8/kPYdpioZdQbdd+YoBOgdt25VCNmm69PyiYtq48avxpjqspJjuUvm4yjS+PKOHMJiUfZn2VjxLE5B8bmiFRkJ5bOkxtLl7xlNu8yNYepXGrnZnNyxMRd4Nrr0DJPjGFvbU3Slvbn5uQnbJl3t8SrO3TilcXX2/r9JX1VRCyi8lqLiJpEIpFIpDoWEXWC6uraDtsu2wDjkLSsXkbMccaq9NmVjqljV6+mV7eqXy0Imi93B0HzZdUYBUEfoEzi5XorOI7DcryX6oUe1zLylXh/izzIhf3Zcxx9b2+VrdmbA2cH7+I86fm5iYhbRNv+ehlx86TNVPR+VmrS5km5/Lq4epdEQydeefZmjjgj7NBS+7Vu3LSMwCUe3f7XJKNyJumJXnUgImoSiUQikepYRNQJKp/fJSRfFVnr9CnwiXwSImiTZ1frmaxdQVBn+gwVDfL1orIuOcsIU+cZ/LjsXq08zHVoPu5cZO8Pu+YDp6sF6dtygj9PXbuvVy8gZ3/7gF3cgHxFz/ToV+HdzeqLjgFJS4m5ctKW2aSlpKywZesStpCSFYSsIms+xll28lkB4ZO7dPoAohh1cX3RsVF0ZAdqVyYiahKJRCKR6lhE1AmqWNwFx5dJStdGXRQ4Hca1b5vasqNouVqe57JnanmcK55R4Mqq8fzlJGhcVDYhclPbs4zqTcZRjaH7eoqG/f31sr7l84XNyFsW4+z31NYl57jEXeT6+e3nKrt2paRd5Ofm68feay82OxQfHR0XLSNlmQ2b3Q+cR62b21the1aRNR9nHXg9Ei/uerRV00KdoAqFdlhcaINfcbbAdftGLfpR/aPGNQ35Khar77hmssiL6qNek2yRV5VV28+yRUhUTmpB5sfTThQ6SgAAIABJREFU+XBQ6YLMl3X6myzm/r58PVvQbfePrM4WuumCnNTiWkQxtHgXDZ8RtRCLxmPvT9H3IYG1LS/uQUc0aVISxdY4vwgLw7M0t7bjLtjlZ9uh55hugYdeRzeEadHWN4lEIpFIdSwi6gRVLHbAsuSffVRUzGg4ql0lVK7T33+fp/NaJGGJ+0zdZ+lQv2rsEOVL6k1IXJecTZ3JdLaja0HOqmfrkjP/TFW/8hY6e54vVExBzkU+IQrnqBaiWgmhi0hbRsAq0i5yFMzEk3YUNfPb47KQOP+WNaB2IuPpV0jkkrZxyZpJtuUtSgMaJmhFqtBuPIyDiYiaRCKRSKQ6FhF1girZqMOffRiROU4+dM8vRlxR7ZKgctX9pJKrVDIXXUKW2ebjkLiu7V07gYuCxIsRFC+j70rs37JxTJ3A+HZJOJFVaqtW9SvPtTxHVud4DmtB+3ZcG7UOaRvbmiUU7L0fTvRcAtQcImZb3JandwUF6zqdCes0bdCyOcgcvwL0rGhbfh1Bu3Y9OJURUZNIJBKJVMciok5QJRIOf/YpFMSEHCaxcDueyiqlch1qd5x4RJ1kmlPTOcQ9lCSK+uM+QzW2CdV7Yynue2Mp6LbI1fu/17V3m9qqZc+OY6uOQ86yOfI7Akq7NkfacT21basYtn+rSFhC2OX2dqB9FGHHJeaiE3y/dL3DA+OqEptUSNZ8Ox0PbVVqUXV/yetPUETUJBKJRCLVsYioE1TJ69tS2mSZeKoV9dOncaZge10i948Xl8arQeJJ2cN1nl0JfYvqVTZq/7gm1B05luK+N14CtuokiNuEgEX3HcWzouZo+gxdm7bKUzuFojTWWtvWLImXDtmf2fvrG9eU2mV2cVO6haXZxlc2pdRIApc8uzu9uXVFRE0ikUgkUh2LiDpBlUhTFhCo2z+Kls3b8kSuQ+IywlXtAMS9L9o1KPcV03tcmzQv0S5ApbZppkRt1DHGimrvRMWNV2Br9vfXIW7TuGhVP11C1/E8N7WbO95xny5hS4i0y9GzYwMVEDbXXsfjWpdyK2pX5WdW007MVKlNO456DFF/8MEHmDlzJlpaWtDS8v/bO/MgKcr7jT8zsxeoDMZ1WbRQwKQAg5YHARa1ND8M4kWOqhgK3ZiUggcEFVMWFB6IEc+y/MN7Q4xG1Cq1SEmK2njEm1PCxgNq44WouAQN7BLR3Z2Z9/fHTvf2vNNvv2/39Mz07D4famrot9/322+3K+8+/T3eJJqbm7Fv3z5l///+97/43e9+h3HjxmHo0KE46qijsHDhQnR2dub063tVnft56KGHin07hBBCiBEVo6jnzJmDzz//HK2trQCAefPmobm5GWvWrHHtv2vXLuzatQt33303jj32WHz66ae4/PLLsWvXLjz77LM5fR999FHMnDnTPk4mkwXNVReZrcIkIlt1Lb9+ca/+QVQ44N8f7nZedS6/5rfqvPucVPac7aprq3zvYSnvIKo+qPL2sqPyc5vmdJv6jZ3tpfJRe+VRF6rKdb5sS2E7VV9Q5VyownZGfYdhCwCqY6mc+/NUwwNAzZfDp10RC/X27dvR2tqKDRs2YMqUKQCAlpYWNDU1ob29HePGjcsbM3HiRDz33HP28THHHINbb70VF110EVKpFKqq+m99+PDhaGxsLP6NEEIIIT6piIV6/fr1SCaT9iINAFOnTkUymcS6detcF2o3Ojs7MWzYsJxFGgAWLFiASy+9FGPGjMEll1yCefPmIR5XewW6u7vR3d1tH3d1dQEAMpkUYjFzH7XfHGk3gqhwZ/9i+MP1Nvv6uSlQ1bXC8n97+b79KuIwlbdf1R2m4jZR285joVLrBfi2w86jNlHaQVW5rJz9zkGIuNaPHbbCrrZ+VgNEXuv7VeVcy96CswjK2va5DzIqYqHu6OhAQ0NDXntDQwM6OjqMbHz99de45ZZbcNlll+W033LLLZg+fTqGDBmCl19+Gddeey2++uorXH/99Upbt912G26++WZ/N0EIIYQEoKwL9bJly7QL3ubNmwHAVakKIYwUbFdXF84991wce+yxuOmmm3LOORfkE044AQCwfPlyz4V6yZIlWLRoUY79UaNG2VHfpv7iTMa/gg5DhQPBlbgJ4Shwf/5vU4XtNU49H++56GzrlHdfP7NrqI4LUdwqtW1qoxDfdtB8aJ26lfu59febP+1XYXvZ9RspbilnpT/YQqFUe7P/LRIio/Q1h3Ut6zgu7wXtozJZlaKimNv+0iZzqYRcaS/KulAvWLAAs2fP9uwzevRovPPOO9i9e3feuT179mDEiBGe4/fv34+ZM2fi4IMPxurVq1FdXe3Zf+rUqejq6sLu3buVtmtra1FbW+tphxBCCAmDsi7U9fX1qK+v1/ZrampCZ2cnNm3ahMmTJwMANm7ciM7OTkybNk05rqurC2eddRZqa2vx/PPPo66uTnutrVu3oq6uDsOHDze/EQm/KtVUgQP+VbhpTrQbOpWqGxemWpd3x8pH7fd2zkV1T16V2VQR54VGmntFnpteQzVHP4pbp5R1NozHu7T7VcyqcUEitQuN6jbtB1vB5vvHrX+CrXN5ilHlDy7Ad20cpS1dq9r6GfSp4v34x63a3KY1vlXKWyaNREX7uyvCRz1hwgTMnDkTc+fOxcMPPwygLz3rvPPOswPJvvjiC0yfPh2PP/44Jk+ejP3792PGjBk4cOAAnnjiCXR1ddlBX4cffjgSiQTWrFmDjo4ONDU1YciQIXjllVewdOlSzJs3j4qZEEJIJKiIhRoAVq1ahYULF2LGjBkAgFmzZuG+++6zz/f29qK9vR0HDhwAAGzZsgUbN24EAHz/+9/PsfXJJ59g9OjRqK6uxgMPPIBFixYhk8lg7NixWL58OebPn1+iu+qjkGhvHYUo8KBvBorh9zZFp7xVwfxCpDyql5mrcUDv63ZT3CZq29muUtyybZ3dWKxKa0u+dv6c/Slt57GbygaK65uW+4ftm5b7yWrfOVOr6rcuB9uvckZM+n/QoSZ7lVHa3j5pa5zJNZzHmVi8/1jjQ87ZP9plDrKvWae8vVSzyt8dRX92TAgh9N2IF11dXdkiKQlf6VmF4Od1uR90W1V6EXROJuNMbev6BdkARHfeb3uQ9CzTfn5fibsFlfm1FaS4inUctKiK38IoXv1N+4bZz9xW378nVmlMeROPvFKk2faq7CLqdl5lI29MwGvI46xX7XFHsRVrMbRs1aIne5x2PV+VPa6J9Xie72+3+vfa5+VzYV3D2a8rlcahb35gpwKHRcUo6sogDeevPcVaTAH//mJTTBR4IX5vtzmVUoGbRJqH4ef2anefg1ptO/vqlLKuqpxJ9Hf//L0XYNX9mSpt51sMnT/bWrhE9h//QiuUOfsXyzft1a/QKmdaVZvtl7+7Vkqpai2fdMbUJ20tHxplnfNLlELxKpW05IuW62z7iRI3VcrWNUz2si4ViheBhBBCCIkCVNRFpJjR3+Wcg6nfu5QR56b+cZN+hfi5ndcI0u7Xv22aw+3l2/br1w5TaZtGjuuqoeUr0kz2W61y/fTNtV14P7+2lNHhXsq5z0D2uO+rN1aV59dWKWfLJ61T1rZiVpzPuJ3Pnksrxup80X7P910rV7XrFLPVPwrR4VyoI4SfRbVYr9WDLKIqClnQTRdcv/29+pku9kEXchVugWyqxS7/2u6v68MMJvO7gJvaicWqjMfmLdzWOMUrcguTgifygl3MV96qa8ftBRfZ41x0QWdVzoAt9KdGuS7KPhdk3Xl7IVYEgKWd5+3X4e6vvE1fcedvNZn7P4buvPPauoU4bT/j8r0K56tvQgghJMJQUVcoxQomC+PaYQawhRW4ZjLnsF6vqxW3d7CaCX5TwmR176aG/bwmd85fp7RN7PgdKyvsvDnkKezsfbsEoelSvCCNDUthx1GVp5wtxayzEZf+ybbspKRgMy91HFQ5p1XK2RqnSO/KKSXqlrLl6JuS1a2mEIqd1iWlWsmvvtMirg040ynmlK3AS6+sqagJIYSQCENFPcAph/IO85o6P7dOnarm4sfHHVagmnXe7Z78+rVNMVHafvzZ7jaD+cn73jzo/dhe96Mb56Ww/SphGZU/Wdcvg1Rg5QxJeauCzbyKk+gKlyiVtRUEaKKcHeed6tnKSU5LT832WSuUscqfrEqlSruoX50iLqdi1kFFTQghhEQYKmoCwExRRvGaQRW3n2uHpaS9zqvuo5RKu9Br9fvmzX3Zal80XMfqIs214xzHXv7rvvbiR30HV865yFHhiWw/OY0rRz1rCpeoorlNlDPQnyrmVM+ynzthl0KVlXRuVLjOF+1HcbupbT8UOj4IVNSEEEJIhKGiJlrCjvIu5TWDKO6wcrhNfdteqCLIi6G0dTnaxfBlm0axq5SybEelsN2up/Jfq0hLylunnBMe/7zqlLPKhko55881lXM+R1krSn7mFS5RRHOrIrblqHk3RS6rcXmM7KvW5U2rFLccwZ1GoiD/drmhoiaEEEIiDBU1KZgoKe4wcriLHUlu0k9XGrSUPm1ZaYfpyzaNFDetXCbbyVfY6jcoqipn+X7i7H1kv1WPIy2pZa8SojplHFP0Mz2fq6zdfdKqaG9ZBfeqlLakyPPVc8buYylnyzet8lXLedUq5SyrY7cI7ihUGAsKFTUhhBASYaioSdEppeIO41phR5L7UdCqPoXkaAPhKm2dwtb5rt1tmVVtc8/F1vuwLZy+b5Uat+dmUN2sr11fiQzwVuA6ZSz3U0WNywrard0zEhz5vmWVT1rOhZYjuvOiwBH3UNv+fNUq5SxHf5v4m/3maJcDKmpCCCEkwlBRk7JTyhzuMHzbatUaXGkXkoNtcl6esxzJXQimdcYtwlTYqjno8qmd1/KTew0Eq0QG5CrwQpWzHDXuR1nLkeBytLepT1o3zi0K3PZNG/qqgypnNyXu5b+OOlTUhBBCSIShoiaRJqzo7iDXCWsXMD9KO6wc7SBR47ICLrTGuUm0uM6nrFPYfvOw3cbqcq/z5hRQWbvhVzmr/N5+lHUG1h7VfbbkaG9rL2tY/z0VPmmVL1ulktMibqzC5f2q/eZNB8GvrVL6sKmoCSGEkAhDRU0qklJEkhcrV9vL76pSwH77+YkaV/uxldMMRDkVtts4v9fQ+671Nb4Bd7+0qXKW/d6mylo4elhj5R23dNHeKjUs1/T28lXn+aYVvmpZneuivy28osKDRITn9lNuNF90qKgJIYSQCENFTQYkxfRtF2rbTzW0sKqgeSlwUz+2aaS4qW/bqbCDqnc5cluFW/61Lv9blautnItxzfCU1ietU85ybrc8PibnBLv4qoWtarN9pHrapj5pnRK3zidimbxI8/wob3d1rovY1kWFVzpU1IQQQkiEoaImg4qoKu1CI8b9+rLDqC8eVGG7XadftQbL7w5Sj9xvznaYyrrYPmlVHnV/te18NW750k3zq1U+6bTkd+4/zs+jVveV3wgoqocZ+p37ds8KXie83FBRE0IIIRGGipoQ5Cq4YudoF1IFrVgK2+tc2Arb6xph7dRlqn6DjMnP0faOCk/EatTXzH6b+qQLifa2jlV+bDm/WuV7ttSrHKEtR4e7+ap1Nkyjv9Mxw32oK3jHLCdcqAmRKHaRlUKKqwRduFXX8foFJeyF2zTIzEmhC7fXeF0qly7YTNffwloinGlc5QoiyyBl25TPmQaX6V51e73Wjks2VKldVlCZfX9SUJl9f4ZpWl59KwG++iaEEEIiDBU1IYaUMhAtbIVtcp2wiqiYFlCJxap8q+2wgs7KH2zm/qq6mEFkll231+FwbXcPLjN91S23x5HJe6WtKoDiDEBznu+/e7M0LS+iGDSmgoqaEEIIiTBU1IQUSCHBYmHbLERhmypo+bzpOGtuJmpYl9IVpu/adKyxYjbol7GfmZmyNvVJW6hUc8ZljKW2TYPLVIVQtL5qEc/zPasKoMj02zJL05JJOdKzKhEqakIIISTCUFETEjKVqrDD9lHL49x812FEhvfZdLfnb2y4/cNU1oX4pIFchW3uo3aPApfVr8qH7ZaCpfM9y9HfGY3S1m2s4aeUaJTLjlJRE0IIIRGGipqQIlOMaPGgNoMobF3xlEKUt0lkuNu1/Pqu3eagGltOZa3yORfik5bHqdS2qr1/u06R7Wfukwb6c6UBh7qW1Lcc/S0j27SOVYVMvJS2qXKWbZSzeAoVNSGEEBJhKmah3rt3L5qbm5FMJpFMJtHc3Ix9+/Z5jjnjjDMQi8VyPrNnzy7YLiFhIETK/oRt05RMJmV/dDZVtk3Pu7Wr5qMa6/fYsifP0evjd4xpf6N+yAT6WH/CGKNrT4s40iKOjPVBHBnHUiK3Wx85WtyJymZaM65/fCL7idvKN68PErZKrjQqZqGeM2cO2tra0NraitbWVrS1taG5uVk7bu7cufjyyy/tz8MPPxyKXUIIIaQUVISPevv27WhtbcWGDRswZcoUAEBLSwuamprQ3t6OcePGKccOHToUjY2Nodrt7u5Gd3e3fdzV1RX01ggBEH6keBB7YW0A4sdHHUbOtQleUeGq+fmNJPfjs1b10W2RKfuRLbx80vI4v1Hfxr5qTf3uuGNTDl30two5nzqVHVfJOdImVISiXr9+PZLJpL2YAsDUqVORTCaxbt06z7GrVq1CfX09fvjDH+L3v/899u/fX7Dd2267zX5VnkwmMWrUqALujhBCCFFTEYq6o6MDDQ0Nee0NDQ3o6OhQjrvwwgsxZswYNDY24r333sOSJUvwr3/9Cy+++GJBdpcsWYJFixbZx11dXVysSahUosIuJDpcFc3td0cu06jweFyt5kuhrFV9Mpnvsifq+r6kcbJyVlUuC7MyWUxS1qq8apMIblWetDzWbz61jrSIB4oQjwplXaiXLVuGm2++2bPP5s2bAQCxWCzvnBDCtd1i7ty59t8nTpyIH/zgB5g0aRL++c9/4qSTTgpst7a2FrW1tZ7zJoQQQsKgrAv1ggUL8qKwZUaPHo133nkHu3fvzju3Z88ejBgxwvh6J510Eqqrq/HBBx/gpJNOQmNjYyh2CSk2xVTYfquche27dp4z3ZErLGXdZ8v1dvLwW188iLLOm6fkszat+V1IZbJ+X3RGc17jq3ZRy6a+6EKxd8aq4D2onZR1oa6vr0d9fb22X1NTEzo7O7Fp0yZMnjwZALBx40Z0dnZi2rRpxtd7//330dvbi5EjR4ZqlxBCCCkWMSGEKPckTDj77LOxa9cuO71q3rx5OProo7FmzRoAwBdffIHp06fj8ccfx+TJk/HRRx9h1apVOOecc1BfX49t27bh2muvxZAhQ7B582YkEgkjuyZ0dXUhmUyGfMeEmBNGPfGgtnQ7dHnZU50zbVddW+5nHTvbVbZ0Y3XjVN/Ofqo+iUSdpw2rprelaq1vuT0uHTvPW+dUY3Tt8nFVTGTb+9RydSyV811lHSOlPufo42kjr18vAKA2+10T68l+Z9vRY7er+lRlfdO6dsuHbdlJyOdjGXSl0jj0zQ/Q2dmJYcOGISwqIuob6IvePu644zBjxgzMmDEDxx9/PP7yl7/Y53t7e9He3o4DBw4AAGpqavDyyy/jrLPOwrhx47Bw4ULMmDEDL730kr1Im9glhBBCyknFKOooQ0VNokKUlbWXXd21VCpXNwevcaYKWdVfVsq6fs7+gRV1rKbvWFLUcVvthqeoVTbiecq6T/jIKjjqilpWyFTUhBBCCAlEReRRE0LMCDM63K+tQvKu/e5prcrN9hMVro8sh+tYmSB51qpdwuRr541VVC4LUplMt4uWaV61QH9UN+Ad/a3Lk1blUw/2hYqKmhBCCIkwg/0XFUIGNMVQ2MXIu9YpaFV7IfnW5jaQN9YNWVnL5I7zzjE3za9OSDnPtj3lcdyltrdZ3rRsS1bgukplacRtBV2lriflimof6/7dsHqNbaUrMLeaipoQQgiJMFTUhAwi/KpiLxsWpr5rr6hwUwXtt91LWftX5/Dsb6GqSOacq84XLduKxdyvJWLuBrz8zyqftM5XLSvwQrAVsmI3rWqf9uRKZOlsRHY6Zh0nKnqnLS7UhAxCgpQQ1dkKI9islAu2rsyohW7Blq9pUcjmHPK1lb8USMFlcvlPt9facsCZ6Stw3QJuElQmvw5XkVaUIR2sDO67J4QQQiIOFTUhg5wwXocHsZPJpHxvnanbmtKPsjbdwEO+luq1teraoWzOYRhcZrI5h2rTjYz9ajju2p6voP0FlbmhStOCIthMfkVeygUs6BabYUBFTQghhEQYKmpCCIDwUrn82DFN4VLZMFXBbsra71aZqvtR+Y/VxVhcu2cxC1QzDS5z8z+riqMETcvK93Un4EYG8TwFrUrTysDMl20FpakU+ECBipoQQgiJMFTUhBBXSum7DltZq9qdx37KjbrZ9Fs61OQ56lS31n+u8TM7S4jqfNVB07IERNZOfvS3rKDlNC0VulKi6QGurKmoCSGEkAhDRU0I8SSKytqikNKjfsqNul1TpaxVc7Vw25TDrU+fTd013a+l8lVnUIz8ae/ob6eK1iloXeETnU86rfCPF4NSliCloiaEEEIiDBU1IcSIsKPCTZS1RdB8a69r+Ck36jVOl+ssj3Prq0bn/1ZEtSt81TGXTTnCyp+Wc7jte/VQ0brtLNOK6HBzZW2+WUeUoaImhBBCIgwVNSEkEIX6rp1+Yh1Bo8JNIrlNlbWFLirctHKZCTpb8nkzX7W/bS39oqr97fx72qcPWtmumau1WUeNycQjDBU1IYQQEmGoqAkhBVGIsg5SHxwIR1n73XHLy5YT08plfddA9hrKLjn9EgmVz9q93aoB7vQ/h+2TVvWTSSOeV5FM3iXLUsx+FfRA80nLUFETQgghEYaKmhASClFS1ibX8XvNQiuXufWxUClr093DVHtlW/2dvmqVTzpsBW2ST61TzDoftClpkQBi/tR2AqXLk9ZBRU0IIYREGCpqQkiohKGsLXQ2TP3IJtf02mnLeQ2/Pmq3yG2/Kr7fFnJs6XzVbnnVKqWs2y3LVEGrdtPKiHheLrXa55wbFS73U0WND5QobxkqakIIISTCUFETQopCGDXCTW34VdYmUd+FVi6zCDMKXGfLJK/a1Ced0Og4tYLORd5NS/6727Epul21BgpU1IQQQkiEGei/iBBCykxYNcLDmINXRTJVe9D8arndKwrc733odtfy8lXLPumw8qftOXoobNm3rDquMjw/WKCiJoQQQiLMYPvFhBBSZoL4rgv1VXvZMbXtV4FbuEWB+92PWiaorzoWq9LW9varoFXjLKvOfGq5IpnqWM6zVu2ipcLK3XbmTqc1O26ZUo78ai7UhJCy4GdTDucYIJwFO8gGHl7XCBJc5hVY1neNvm+rdKg8zu8rcCFSQKwveanQTTl021zmL+yJvAVYd6wi6LggRKHwCV99E0IIIRGGipoQUjaCpnCFoayDvvIOui2m057fwDKV8jbdWMS5mYfbRh1A8KCyvLlq0rT6bJilZ5VSOUcZKmpCCCEkwlBRE0IqlrB81iY2C03bsnDadSsv6j5/5PST56DbBtNtMxJrow6/m3LI+EnTMlbShhpysChsKmpCCCEkwlTMQr137140NzcjmUwimUyiubkZ+/btU/bfsWMHYrGY6+eZZ56x+7mdf+ihh0pxS4SQLEKktBHQYYzPZFK2itWNLdacrPYwbMt2VO3Wfee0Zf+I7Mf42o4xwmW8dWz9cV7PIo24XbzESQZxVzWtapdJi3h/GtYAomJefc+ZMweff/45WltbAQDz5s1Dc3Mz1qxZ49p/1KhR+PLLL3PaHnnkEdx55504++yzc9offfRRzJw50z5OJpMhz54QQggJRkUs1Nu3b0drays2bNiAKVOmAABaWlrQ1NSE9vZ2jBs3Lm9MIpFAY2NjTtvq1avxq1/9CgcffHBO+/Dhw/P6EkJKT6EbeYSxxaZf33ShJUZzx3jP0TSvWvZVO+ea1+azVKiusIkqnxpQFy5RbVupajf1YYdV5KTcVMQ7gvXr1yOZTNqLNABMnToVyWQS69atM7KxZcsWtLW14ZJLLsk7t2DBAtTX1+NHP/oRHnroIWQy3q+Buru70dXVlfMhhBBCikFFKOqOjg40NDTktTc0NKCjo8PIxsqVKzFhwgRMmzYtp/2WW27B9OnTMWTIELz88su49tpr8dVXX+H6669X2rrttttw8803+7sJQogxxVbWfWU8zcuMmvQzVeTONougeeQyOtUPOKK+rbZspTLbtqGCVvWX23OP+0p7WtHa9iYbUqnQdMx9842g22GGQVUZK5SVVVEvW7ZMGfBlfd5++20AfUFfMkII13aZb7/9Fk8++aSrmr7++uvR1NSEE044Addeey2WL1+Ou+66y9PekiVL0NnZaX8+++wzwzsmhBBC/FFWRb1gwQLMnj3bs8/o0aPxzjvvYPfu3Xnn9uzZgxEjRmiv8+yzz+LAgQP49a9/re07depUdHV1Yffu3UrbtbW1qK2t1doihBRGocraCz+51UHm4lWxTL8Vps5237fKVy3X+HbOSfZfW5XK5O0vVZhuzuF27KxOljMvjS9Z5au2x1eGFzcwZV2o6+vrUV9fr+3X1NSEzs5ObNq0CZMnTwYAbNy4EZ2dnXmvst1YuXIlZs2ahcMPP1zbd+vWrairq8Pw4cP1N0AIIYQUmYrwUU+YMAEzZ87E3Llz8fDDDwPoS88677zz7IjvL774AtOnT8fjjz9uL+YA8OGHH+L111/H2rVr8+yuWbMGHR0daGpqwpAhQ/DKK69g6dKlmDdvHhUzIRGimDXB/UZphxEFXqiPWmdHjiL3jPqWKpX53ebSn486F12Nb/t8QKVdChIx8xz0oFTEQg0Aq1atwsKFCzFjxgwAwKxZs3DffffZ53t7e9He3o4DBw7kjPvTn/6EI4880h7npLq6Gg888AAsRpNGAAAR+0lEQVQWLVqETCaDsWPHYvny5Zg/f35xb4YQQggxJCaEcHcaEGO6urpYJIWQEhJUgXqN0/mq5bEqW1a7fN5pX+6jsm2NUfVPJOp8nY/H6/LOxeN934ls9Hc8q9+s74Tm2PquQo322Pp7TTYIuDbWk/NdHUu5ttfG+77rssdVUr86u383AGBo7LvsdXrsY+ffnedqY70AgCGxb3OOrX2o5X5yu1NRd6XSOPTND9DZ2Ylhw4YhLAa2B54QQgipcCrm1TchhFgUw2cddhR4KXzVqopmXvtR5/mmFdHffnfTCuKjtnzMuqhtVd61inQ2X7sQEjF/edPxWAbxIvmrqagJIYSQCENFTQghDoodBe5lSz5vmlct/1PuNQc511oeo4v+zpurDyVt/T0t+uK0Vco4Y6i0wyBRxopjplBRE0IIIRGGipoQUrEU4qsuxw5dgHud8bB91W41vq1j2X8di/m7H9N8aqM8asn3bNX4DpoX3e+b7g1oIR85T9qv7zoMqKgJIYSQCENFTQipeIKoXJMdtoDgUeCl8FX7jThPJKqU8/Ib/W1fS7M/ddzFR62q+e2XjGa3rYHCQL0vQsggpBibePgNLgvDpoXpVpv9dvu+5Y03nP1Vr8X9Ypqm5eyve4WrehUup3HpNvEYaPDVNyGEEBJhqKgJIYOasFW4yStwXYpX2HOwyGRSecFjclBZ2GlabulZGfu7dGlYlQyfDiGEEBJhqKgJIQOOUgaXlcJX3d8f2f46y+4+amfBE10BFzmoTMZPGpZXe6VQzsIoVNSEEEJIhKGiJoQMWIoRBR702m5lPIvlq5Y348i1rygdqksV81nQRNXP2WaVErWiu2WftRXdbfuwQ4zylguZRBkqakIIISTCUFETQoiDKPmqZdv9/ZHtn9tPpdCd51WlQ02jv/Pmrix0It0DMgX7qU23xRxoDK67JYQQQioMKmpCyIAnar5qr7KiznYL4w0z8qLF8+2qSoeaXsO0IpmqtKjznFVKNGilMdNKZf2bdeixorujtP0lFTUhhBASYaioCSGDBj/qMYq+avkacm1vtT3Yc1LV+JYVtm6TDnucj+hvlf/aIi1tsuHXFz1Qa4BTURNCCCERhoqaEEI8CEtZe+VRm253aaHzaXv1U0V5+30D4FdZF4JfZZ3K+qT7fdO92jGqvOoqha+6lHnYVNSEEEJIhKGiJoQMOtx2sIoSbr7lILj5o7U1vn3mU/vxUcvVyvzuoiXvV10OX3Q5osGpqAkhhJAIE91fKQkhJEIE9VW72TH1TavmkH9tZK8NV3tOhV5oHrVtU1ORTBfh7Wk7AsrZlHgJfNVU1IQQQkiEoaImhAxKSlWtLIzc7UKVt3Oc7hqm+dT2OMNdtTLIIK7oa+2ipa4s5q4pVe0DjcFxl4QQQkiFQkVNCBnUBFWrhfiqTfOoTf3eOlTVyJzXUFU3U9r02G/aq90L3e5YxVDWiZhZFLdpv2JARU0IIYREGCpqQggpAWHWGS8k+ttSzipVb5pPnTcnjY/amUfdHxHurboH277TKvgUCCGEkAhDRU0IIYiGr1pF0EplbtHfKiWtWg5U6l2137SpWs615b0vtdyuUtoDVYFzoSaEkBLiVb7U72YdQa5t/bMv21a96pb7W2la8pKoCh5zLty6ADSLdBm3q7SCxkq56YaOgfnrByGEEDJAqJiF+tZbb8W0adMwdOhQDB8+3GiMEALLli3DEUccgSFDhuCMM87A+++/n9Nn7969aG5uRjKZRDKZRHNzM/bt21eMWyCEVABCpJSve8PoHwbWNVWfTKbv4zY365zp/OX+9risQnYGiXm1u95Hto/1RyaNeE7qVUbE+1+DuxwXgwTSZdmIw0nFLNQ9PT345S9/iSuuuMJ4zJ133ol77rkH9913HzZv3ozGxkb85Cc/wf79++0+c+bMQVtbG1pbW9Ha2oq2tjY0NzcX4xYIIYQQ31SMj/rmm28GAPz5z3826i+EwL333oulS5fiF7/4BQDgsccew4gRI/Dkk0/isssuw/bt29Ha2ooNGzZgypQpAICWlhY0NTWhvb0d48aNK8q9EEIGD25BZTpfdNgFUJyKWXdN1WYdeeelNC1d4RPhUM2qQLOwgsHK6eMuBhWzUPvlk08+QUdHB2bMmGG31dbW4vTTT8e6detw2WWXYf369Ugmk/YiDQBTp05FMpnEunXrlAt1d3c3uru77ePOzs7i3QghpCwIIfyOCGBPbpMXsIxruxByu/VqNpbzLUT+SpX/Gru3b0RMZL+txTL3OxaTbMbkOVjLSTo7g3T2bH+7gHXt7C8BduS4NYc+21Wxvn9fY6Ine/xd9pp9/RKi71jEerL9unOOM9nvRLYdsR5k0JPt02cjHe/N9u37rs4G0aWz39XZoLJaWMFl2W/kBps5d8/qSmV/KfH9s+PNgF2oOzo6AAAjRozIaR8xYgQ+/fRTu09DQ0Pe2IaGBnu8G7fddput8AkhAxV/fkkhvPun092e58nA4euvv0YymQzNXlkX6mXLlmkXvM2bN2PSpEmBr2H9hmYhhMhpk8+79ZFZsmQJFi1aZB/v27cPRx99NHbu3Bnqf5yBTFdXF0aNGoXPPvsMw4YNK/d0KgY+N//wmQWDz80/nZ2dOOqoo/C9730vVLtlXagXLFiA2bNne/YZPXp0INuNjY0A+lTzyJEj7fb//Oc/tspubGzE7t2788bu2bMnT4k7qa2tRW1tbV57MpnkD7RPhg0bxmcWAD43//CZBYPPzT/xeLhx2mVdqOvr61FfX18U22PGjEFjYyNefPFFnHjiiQD6Isdfe+013HHHHQCApqYmdHZ2YtOmTZg8eTIAYOPGjejs7MS0adOKMi9CCCHEDxWTnrVz5060tbVh586dSKfTaGtrQ1tbG/73v//ZfcaPH4/Vq1cD6HulffXVV2PFihVYvXo13nvvPfzmN7/B0KFDMWfOHADAhAkTMHPmTMydOxcbNmzAhg0bMHfuXJx33nmM+CaEEBIJKiaY7MYbb8Rjjz1mH1sq+ZVXXsEZZ5wBAGhvb8+JwL7uuuvw7bff4sorr8TevXsxZcoUvPDCCzjkkEPsPqtWrcLChQvt6PBZs2bhvvvu8zW32tpa3HTTTa6vw4k7fGbB4HPzD59ZMPjc/FOsZxYTYceRE0IIISQ0KubVNyGEEDIY4UJNCCGERBgu1IQQQkiE4UJNCCGERBgu1IY88MADGDNmDOrq6nDyySfjjTfe8Oz/3HPP4dhjj0VtbS2OPfZYO21sMOHnmbW0tOC0007DoYceikMPPRRnnnkmNm3aVMLZRge/P2sWTz/9NGKxGH72s58VeYbRw+8z27dvH+bPn4+RI0eirq4OEyZMwNq1a0s02+jg97nde++9GDduHIYMGYJRo0bhmmuuwXfffVei2Zaf119/Heeffz6OOOIIxGIx/PWvf9WOee2113DyySejrq4OY8eOxUMPPeT/woJoefrpp0V1dbVoaWkR27ZtE1dddZU46KCDxKeffuraf926dSKRSIgVK1aI7du3ixUrVoiqqiqxYcOGEs+8fPh9ZnPmzBH333+/2Lp1q9i+fbv47W9/K5LJpPj8889LPPPy4ve5WezYsUMceeSR4rTTThM//elPSzTbaOD3mXV3d4tJkyaJc845R7z55ptix44d4o033hBtbW0lnnl58fvcnnjiCVFbWytWrVolPvnkE/H3v/9djBw5Ulx99dUlnnn5WLt2rVi6dKl47rnnBACxevVqz/4ff/yxGDp0qLjqqqvEtm3bREtLi6iurhbPPvusr+tyoTZg8uTJ4vLLL89pGz9+vFi8eLFr/wsuuEDMnDkzp+2ss84Ss2fPLtoco4bfZyaTSqXEIYccIh577LFiTC+yBHluqVRKnHLKKeKPf/yjuPjiiwfdQu33mT344INi7NixoqenpxTTiyx+n9v8+fPF//3f/+W0LVq0SJx66qlFm2OUMVmor7vuOjF+/Pictssuu0xMnTrV17X46ltDT08PtmzZkrNdJgDMmDED69atcx2zfv36vP5nnXWWsv9AI8gzkzlw4AB6e3tDL24fZYI+t+XLl+Pwww/HJZdcUuwpRo4gz+z5559HU1MT5s+fjxEjRmDixIlYsWIF0ml/u2VVMkGe26mnnootW7bYLqmPP/4Ya9euxbnnnlv0+VYqqrXg7bffRm9vr7GdiqlMVi6++uorpNNp1+0yVVthdnR0+Oo/0AjyzGQWL16MI488EmeeeWYxphhJgjy3t956CytXrkRbW1spphg5gjyzjz/+GP/4xz9w4YUXYu3atfjggw8wf/58pFIp3HjjjaWYdtkJ8txmz56NPXv24NRTT4UQAqlUCldccQUWL15ciilXJKq1IJVK4auvvsrZMMoLLtSG6LbLLLT/QCToM7jzzjvx1FNP4dVXX0VdXV2xphdZTJ/b/v37cdFFF6GlpaVom9tUCn5+1jKZDBoaGvDII48gkUjg5JNPxq5du3DXXXcNmoXaws9ze/XVV3HrrbfigQcewJQpU/Dhhx/iqquuwsiRI3HDDTeUYroVidszdmv3ggu1hvr6eiQSibzfMp3bZco0Njb66j/QCPLMLO6++26sWLECL730Eo4//vhiTjNy+H1uH330EXbs2IHzzz/fbstkMgCAqqoqtLe345hjjinupMtMkJ+1kSNHorq6GolEwm6bMGECOjo60NPTg5qamqLOOQoEeW433HADmpubcemllwIAjjvuOHzzzTeYN28eli5dGvrWjgMB1VpQVVWFww47zNgOn6yGmpoanHzyyXjxxRdz2l988UXlVphNTU15/V944YVBs3VmkGcGAHfddRduueUWtLa2YtKkScWeZuTw+9zGjx+Pd999195Jrq2tDbNmzcKPf/xjtLW1YdSoUaWaetkI8rN2yimn4MMPP7R/qQGAf//73xg5cuSgWKSBYM/twIEDeYtxIpGA6AtKLtpcKxnVWjBp0iRUV1ebG/IVejZIsdIYVq5cKbZt2yauvvpqcdBBB4kdO3YIIYRobm7OiZR86623RCKRELfffrvYvn27uP322wdtepbpM7vjjjtETU2NePbZZ8WXX35pf/bv31+uWygLfp+bzGCM+vb7zHbu3CkOPvhgsWDBAtHe3i7+9re/iYaGBvGHP/yhXLdQFvw+t5tuukkccsgh4qmnnhIff/yxeOGFF8QxxxwjLrjggnLdQsnZv3+/2Lp1q9i6dasAIO655x6xdetWO6Vt8eLForm52e5vpWddc801Ytu2bWLlypVMzyom999/vzj66KNFTU2NOOmkk8Rrr71mnzv99NPFxRdfnNP/mWeeEePGjRPV1dVi/Pjx4rnnnivxjMuPn2d29NFHCwB5n5tuuqn0Ey8zfn/WnAzGhVoI/89s3bp1YsqUKaK2tlaMHTtW3HrrrSKVSpV41uXHz3Pr7e0Vy5YtE8ccc4yoq6sTo0aNEldeeaXYu3dvGWZeHl555RXXf6es53TxxReL008/PWfMq6++Kk488URRU1MjRo8eLR588EHf1+U2l4QQQkiEoY+aEEIIiTBcqAkhhJAIw4WaEEIIiTBcqAkhhJAIw4WaEEIIiTBcqAkhhJAIw4WaEEIIiTBcqAkhhJAIw4WaEEIIiTBcqAkhhJAIw4WaEEIIiTBcqAkhBdHa2opTTz0Vw4cPx2GHHYbzzjsPH330UbmnRciAgQs1IaQgvvnmGyxatAibN2/Gyy+/jHg8jp///Oc5+z0TQoLD3bMIIaGyZ88eNDQ04N1338XEiRPLPR1CKh4qakJIQXz00UeYM2cOxo4di2HDhmHMmDEAgJ07d5Z5ZoQMDKrKPQFCSGVz/vnnY9SoUWhpacERRxyBTCaDiRMnoqenp9xTI2RAwIWaEBKYr7/+Gtu3b8fDDz+M0047DQDw5ptvlnlWhAwsuFATQgJz6KGH4rDDDsMjjzyCkSNHYufOnVi8eHG5p0XIgII+akJIYOLxOJ5++mls2bIFEydOxDXXXIO77rqr3NMiZEDBqG9CCCEkwlBRE0IIIRGGCzUhhBASYbhQE0IIIRGGCzUhhBASYbhQE0IIIRGGCzUhhBASYbhQE0IIIRGGCzUhhBASYbhQE0IIIRGGCzUhhBASYbhQE0IIIRHm/wGtkfhegZcnbAAAAABJRU5ErkJggg=="
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 0.221568 seconds (81.80 k allocations: 2.814 MiB)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 7,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 0.1, n = 64$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 0.1, 2^8)",
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 0.585956 seconds (82.20 k allocations: 2.824 MiB, 12.69% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 8,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 0.1, n = 256$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 0.1, 2^10)",
"execution_count": 9,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 1.771081 seconds (84.23 k allocations: 2.873 MiB)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 0.1, n = 1024$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 0.1, 2^12)",
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 7.434339 seconds (95.39 k allocations: 3.198 MiB)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 10,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 0.1, n = 4096$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 0.1, 2^14)",
"execution_count": 11,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": " 32.142182 seconds (132.26 k allocations: 4.042 MiB)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 11,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 0.1, n = 16384$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 0.1, 2^16)",
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "118.886001 seconds (279.71 k allocations: 7.417 MiB)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 12,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 0.1, n = 65536$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@time plot_lik(0.5, 0.1, 2^18)",
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 500x500 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "stream",
"text": "467.475714 seconds (869.61 k allocations: 20.920 MiB, 0.00% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 13,
"data": {
"text/plain": "PyObject Text(0.5,1,'$a_0 = 0.5, b_0 = 0.1, n = 262144$')"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/3e385f7dfdf61e92d3e2458cf2494f1c"
},
"gist": {
"id": "3e385f7dfdf61e92d3e2458cf2494f1c",
"data": {
"description": "混合正規分布モデルの尤度函数",
"public": true
}
},
"kernelspec": {
"name": "julia-1.0",
"display_name": "Julia 1.0.0",
"language": "julia"
},
"language_info": {
"file_extension": ".jl",
"name": "julia",
"mimetype": "application/julia",
"version": "1.0.0"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": true,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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