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@Antara000
Created April 4, 2024 16:36
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{
"cells": [
{
"cell_type": "markdown",
"id": "4760924e",
"metadata": {},
"source": [
"***Bilangan Acak :***\n",
"- Bilangan acak adalah sebuah bilangan yang dipilih seakanakan secara kebetulan dari suatu distribusi tertentu sehingga seleksi suatu himpunan besar bilangan-bilangan ini menghasilkan distribusi yang mendasarinya.\n",
"- Hampir selalu, bilangan-bilangan tersebut juga perlu saling bebas, sehingga tidak terdapat korelasi di antara bilanganbilangan berurutan.\n",
"\n",
"***Bilangan pseudo-acak (pseudo random) :***\n",
"- Himpunan nilai atau elemen yang acak secara statistik, akan tetapi diturunkan dari sebuah titik awal yang diketahui dan umumnya diulang-ulang lagi dan lagi.\n",
"- Menyediakan nilai-nilai yang diperlukan bagi proses-proses yang membutuhkan keacakan, seperti menghasilkan sinyal uji.\n",
"- Disebut ‘pseudo’ acak karena algoritmanya dapat mengulangi pembangkitan kembali urutan bilangan-bilangan acak, dan sebenarnya tidaklah sepenuhnya acak.\n",
"\n",
"***Bilangan acak sebenarnya :***\n",
"- Untuk kualitas tinggi bilangan acak sebenarnya (true random numbers) dapat dibangkitkan menggunakan efek-efek fisika seperti derau termal dalam sebuah dioda atau dari suatu sumber cahaya.\n",
"\n",
"***Algoritma :***\n",
"- Algoritme khusus tersedia untuk membangkitan bilangan pseudo-acak, yang memiliki sifat statistik terbandingkan, tetapi nilainya tidak dapat diprediksi karena bergantung pada sejumlah nilai-nilai awal (seed).\n",
"- Sering suatu iterasi ri+1 = f(ri) digunakan untuk menghitung deret bilanga pseudo-acak.\n",
"- Dengan bilangan bulat 32 bit terdapat 2^32 bilangan berbeda, karenanya periode bilangan tidak dapat mecapai 2^32\n",
"\n",
"***MonteCarlo :***\n",
"- Metode Komputasi Statistik: Monte Carlo adalah teknik statistik yang menggunakan simulasi berulang dengan bilangan acak untuk memperkirakan hasil suatu fenomena.\n",
"- Pembangkitan Bilangan Acak: Menggunakan pembangkitan bilangan acak untuk memasukkan ketidakpastian dalam model matematika atau algoritma yang dijalankan.\n",
"- Simulasi Berulang: Model dijalankan berulang kali menggunakan bilangan acak yang dihasilkan untuk memperoleh berbagai skenario atau hasil yang mungkin.\n",
"- Analisis Hasil: Hasil dari simulasi digunakan untuk menganalisis distribusi probabilitas atau variasi hasil yang mungkin dari fenomena yang dimodelkan.\n",
"- Penerapan Luas: Digunakan dalam berbagai bidang termasuk fisika, ekonomi, keuangan, dan teknik untuk memodelkan sistem kompleks dan mengatasi ketidakpastian.\n",
"- Permasalahan fisis seringkali melibatkan integral berdimensi tinggi, seperti misalnya pada integral lintasan (path integrals) dan rata-rata termodinamika (thermodynamics averages).\n",
"- Jenis integral ini tidak dapat dievaluasi dengan metode standar: persegi, trapesium, Simpson atau Euler, Runge-Kutta."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "84753879",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Tentukan fungsi linear (y = mx + b)\n",
"def fungsi_linear(x, m, b):\n",
" return m * x + b\n",
"\n",
"# Tetapkan parameter untuk fungsi linear\n",
"m = 2 # Kemiringan\n",
"b = 3 # Intercept y\n",
"\n",
"# Tentukan rentang nilai x untuk simulasi\n",
"x_min = 0\n",
"x_max = 10\n",
"\n",
"# Tetapkan jumlah sampel acak\n",
"num_samples = 1000\n",
"\n",
"# Hasilkan nilai x acak dalam rentang yang ditentukan\n",
"x = np.random.uniform(low=x_min, high=x_max, size=num_samples)\n",
"\n",
"# Hitung nilai y yang sesuai menggunakan fungsi linear\n",
"y = fungsi_linear(x, m, b)\n",
"\n",
"# Plot fungsi linear sebenarnya\n",
"plt.plot(x, fungsi_linear(x, m, b), label=\"Fungsi Sebenarnya\")\n",
"\n",
"# Plot titik-titik simulasi\n",
"plt.scatter(x, y, label=\"Titik-titik Simulasi\", color='red', alpha=0.5) # Sesuaikan warna dan transparansi\n",
"\n",
"# Tambahkan label dan judul\n",
"plt.xlabel(\"X\")\n",
"plt.ylabel(\"Y\")\n",
"plt.title(\"Simulasi Monte Carlo dari Fungsi Linear\")\n",
"plt.legend()\n",
"\n",
"# Tampilkan plot\n",
"plt.grid(True)\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "1e6765e8",
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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dyp07d0qN8NqzZw/R0dGEhoaqVmOAYp10y/rFbWVlRW5uLvfu3VMTNJIkERsbS/PmzUs8FiA2NrbIvse3rV69Gh0dHTZt2qT263jjxo1PNP6Kkj+GrKwstc+pLCukxWFlZUVcXFyR7Zrmp127drRr1468vDzCwsL44YcfmDx5MnZ2dgwZMqRC52/atCm7du2iS5cudOzYkT179lC3bl1A/f0W5vH3W5773crKqkyffT6aPtONGzeSlpbG+vXr1X6gnDlzpoR3Wnb++OMPpk2bRlBQEDt27KBx48aV0u/zjliZeY7R9ICFAvNARX8xlhV3d3fCw8PVtu3Zs6fUBGIymQxJkoo8mJcsWUJeXl6xx9nZ2TFixAheeuklLl++rBalURECAwMZOXIk/fr1o1+/fsW269SpExcuXODUqVNq23/77TdkMhkdO3Ys97mLW63p1asXkiRx9+7dIisAzZo1w8/Pr8R+P/zwQyRJYsyYMWRnZxfZn5OTw3///QcUPAge/xx+/vnncr+fwuQ7UT/upPr333+TlpZWYhRU3bp1cXBw4M8//1SLSLp58yaHDx9WayuTydDW1lYz6WVkZLBy5conGn9FyU/o9/g9kT/fFSEoKIg9e/aoCQSFQsG6deuKPUZLS4uWLVuqViIev27LS0BAALt37yYrK4uOHTuqfkQU934fDxIoz/3esWNHdu/erSbg8vLyWLNmTZnHq+m6liSJX375pUjbx1fCyoKlpSW7du2ifv36dOzYUS1SUVBxxMrMc0y3bt1wdnamd+/e1KtXD4VCwZkzZ5g3bx7Gxsa89dZbVXr+V155hWnTpvHpp58SFBTEhQsXWLBgAWZmZiUeZ2pqSvv27Zk7dy7W1ta4u7uzb98+fv31V8zNzdXatmzZkl69euHv74+FhQUXL15k5cqVBAYGVkqOk19//bXUNm+//Ta//fYbISEhfP7557i5ubF582Z+/PFHJkyYUCE/jHxRMnv2bHr06IGWlhb+/v60adOGsWPH8tprrxEWFkb79u0xMjIiJiaGgwcP4ufnx4QJE4rtNzAwkJ9++omJEyfStGlTJkyYQMOGDcnJyeH06dMsXrwYX19fevfuTevWrbGwsGD8+PF89tln6Ojo8Mcff3D27Nlyv5/CdOnShW7dujFlyhSSk5Np06aNKpqpSZMmvPLKK8UeK5fL+d///sfo0aPp168fY8aM4eHDh0yfPr2IqSEkJIRvvvmGoUOHMnbsWBITE/n6669LXL2qSnr27ImlpSWjRo3i888/R1tbm+XLl3P79u0K9/nxxx/z33//0alTJz7++GMMDAxYtGiRKnQ+399t0aJF7Nmzh5CQEFxdXcnMzFRF7XTu3PmJ31vjxo3ZvXs3nTp1Uq3Q1K9fn86dOzNr1iwsLCxwc3Nj9+7dKjNlPuW53z/55BP+/fdfgoOD+fTTTzE0NGThwoVFUgWURJcuXdDV1eWll17igw8+IDMzk59++okHDx4Uaevn58f69ev56aefaNq0KXK5nGbNmpV6DhMTE7Zt20b//v3p0qUL//77b4V+1AgKUWOux4IaZ82aNdLQoUMlb29vydjYWNLR0ZFcXV2lV155Rbpw4YJa2+KimebOnavWLj9CYd26dWrbC3vy55OVlSV98MEHkouLi2RgYCAFBQVJZ86cKVM00507d6QBAwZIFhYWkomJidS9e3fp3LlzRY6dOnWq1KxZM8nCwkLS09OT6tSpI7399ttSQkKCqk1FoplK4vFoJkmSpJs3b0pDhw6VrKysJB0dHalu3brS3Llz1SLBiptTSSoaGZGVlSWNHj1asrGxkWQyWZFIjaVLl0otW7aUjIyMJAMDA8nT01N69dVXpbCwsFLfpyRJ0pkzZ6Thw4dLrq6ukq6urmRkZCQ1adJE+vTTT6X4+HhVu8OHD0uBgYGSoaGhZGNjI40ePVo6depUkWiU4cOHS0ZGRhrP9Xg0kyQpI3OmTJkiubm5STo6OpKDg4M0YcIE6cGDB2Ua/5IlSyRvb29JV1dX8vHxkZYuXarxPEuXLpXq1q2rujZmzZol/frrrxojX0JCQjSeqzzRTMX1kc/x48el1q1bS0ZGRpKTk5P02WefSUuWLCnzeB6/TyVJkg4cOCC1bNlS0tPTk+zt7aX3339fmj17tgRIDx8+lCRJGQXXr18/yc3NTdLT05OsrKykoKAg6d9//1Xr6/HrsDgA6fXXXy+y/ezZs5K1tbVkZ2cnnT9/XoqJiZEGDhwoWVpaSmZmZtLLL78shYWFFbl+ynq/S5IkHTp0SGrVqpXa+128eHG5PtP//vtPatSokaSvry85OTlJ77//vrR169Yi30P379+XBg4cKJmbm6vuw+LmqrjvwAEDBkj6+vrS5s2bS51XQfHIJOmx7FACgUAgeKbp2rUrUVFRTxyZIxDUFoSZSSAQCJ5h3nnnHZo0aYKLiwv379/njz/+YOfOnWUykQoETwtCzAgEAsEzTF5eHp9++imxsbHIZDIaNGjAypUrefnll2t6aAJBpSHMTAKBQCAQCJ5qRGi2QCAQCASCpxohZgQCgUAgEDzVCDEjEAgEAoHgqeaZdwBWKBRER0djYmIi6mAIBAKBQPCUIEkSKSkpODo6qhU01sQzL2aio6NxcXGp6WEIBAKBQCCoALdv3y61VtwzL2ZMTEwA5WSUpWLvs0xOTg47duyga9eu6Ojo1PRwnmnEXFcPYp6rBzHP1YeY6wKSk5NxcXFRPcdL4pkXM/mmJVNTUyFmcnIwNDTE1NT0ub9Jqhox19WDmOfqQcxz9SHmuihlcRERDsACgUAgEAieaoSYEQgEAoFA8FQjxIxAIBAIBIKnmmfeZ0YgEAieNfLy8sjJyam28+Xk5KCtrU1mZiZ5eXnVdt7nkedprnV0dNDS0qqUvoSYEQgEgqcESZKIjY3l4cOH1X5ee3t7bt++LfJ1VTHP21ybm5tjb2//xO9ViBmBQCB4SsgXMra2thgaGlbbw06hUJCamoqxsXGpycsET8bzMteSJJGenk58fDwADg4OT9SfEDMCgUDwFJCXl6cSMlZWVtV6boVCQXZ2Nvr6+s/0A7Y28DzNtYGBAQDx8fHY2to+kcnp2Z4pgUAgeEbI95ExNDSs4ZEIBJVH/vX8pD5gQswIBALBU8Tz4EcheH6orOu51oiZWbNmIZPJmDx5smqbJElMnz4dR0dHDAwM6NChA+fPn6+5QRYmNxcOHoS//1b+m5tb0yMSCAQCgeC5pFaImRMnTrB48WL8/f3Vts+ZM4dvvvmGBQsWcOLECezt7enSpQspKSk1NNJHbNoEPXrASy/B668r/+3RQ7ldIBAIBE8VMpmMjRs3Vuk5pk+fTuPGjav0HM8zNS5mUlNTGTZsGL/88gsWFhaq7ZIk8d133/Hxxx/Tv39/fH19WbFiBenp6axatarmBrxpE0yeDMePQ1qackUmLU35evJkIWgEAoGgECNGjEAmkxX5u3btWk0PTUVMTAw9evQodn98fDzjxo3D1dUVPT097O3t6datG0eOHKnGUQpKosajmV5//XVCQkLo3LkzX3zxhWp7ZGQksbGxdO3aVbVNT0+PoKAgDh8+zLhx4zT2l5WVRVZWlup1cnIyoHQueuIkU7m58PXX8PAhmJiQYmSGSW6mcnt2tnL7vHnQqRNo1/jUFiH//Vdnsq3nFTHX1cPzNM85OTlIkoRCoUChUFTruSVJUv1b3nNLkkS3bt1YunSp2nYbG5tqfx/FYWtrC1DseAYMGEBOTg7Lli2jTp06xMXFsWfPHhISEsr8HvLnsLT2TzLXFSU7OxtdXd1qOdfjKBQKJEkiJyenSDRTee7rGn3irl69mlOnTnHixIki+2JjYwGws7NT225nZ8fNmzeL7XPWrFnMmDGjyPYdO3ZUThTA228D8N9NObuilQtbr/nk0chSQuXHtGPHk5+nCtm5c2dND+G5Qcx19fA8zLO2tjb29vakpqaSnZ1dI2OoiIk//yH1+PdvWloaEydOJCkpiT/++EO1/cMPPyQiIoJNj1a5e/XqRcOGDdHT02PlypXo6ury2muvMXXqVNUxV65cYdKkSZw5cwZ3d3e++uor+vXrx++//05ISAjZ2dl8/PHH/Pfff6rw9hEjRvDOO+8AYGFhoWr7OElJSRw8eJBNmzbRtGlTVft69eoBBT+Yk5KS+Oyzz9i8eTNZWVk0btyYmTNn4ufnByh/aOfl5TF//ny+/vprHjx4QNeuXZk/fz5mZmaq8/3xxx98//333Lx5E1dXV8aOHcvo0aMBuHXrFo0aNeK3335j8eLFnDx5kjp16vDNN9/QokULAO7fv8/777/P0aNHefDgAe7u7rzzzjsMHDhQdY5evXpRv359dHV1Wb16NfXq1ePDDz+kd+/ebNy4kenTp3P58mV8fX1ZuHAh3t7e3Lp1i8aNG7N7926aNGmi6mvx4sX88MMPhIeHo1AomDx5Mvv37yc+Ph5nZ2dGjRrF+PHji70+srOzycjIYP/+/eQ+5nuanp5e7HGPU2Ni5vbt27z11lvs2LEDfX39Yts97uksSVKJ3s8ffvih6gIF5YXm4uJC165dMTU1fbJB//orfPwxGBkRX6cdu1oNBWDZFS0sMlKYte8Xgq8fR/buu8p2tYycnBx27txJly5dRGn5KkbMdfXwPM1zZmYmt2/fxtjYWPWdKUkSGTlVn/JekiRSU1IxNjFGJpNhoKNV5igUHR0dtLW1NX7/atqnq6urtk1bW5vVq1fz9ttvc/ToUY4cOcLIkSPp2LEjXbp0QaFQ8Oqrr+Li4sKRI0dISUnh/fffB5R5TExNTZk3bx7bt29nzZo1uLq6cvv2bW7fvq123vy2j2NoaIixsTE7d+4kODgYPT09jfPTq1cvLCws2Lx5M2ZmZixevJh+/fpx6dIlLC0t0dPTIzIykk2bNvHff/+RnJzMmDFj+PDDD/n9998B+OWXX5g5cyazZ88mMDCQM2fOMG7cOKysrBg+fDjGxsYAfPnll8yZMwdvb28++eQTxo4dy5UrV9DW1iYlJYVWrVrx8ccfY2pqypYtWxg/fjwNGzakZcuWanM6fvx4Dh48qMosDcoFgW+++QYbGxsmTpzI5MmTOXDgAL6+vnTq1Il169YRFBSkeu+rV6/mtddew8zMjJycHDw8PHjjjTewtrbm8OHDjB8/Hnd3dwYNGqTx+sjMzMTAwID27dsX0QL5QrEs1JiYOXnyJPHx8SqlC8qkUPv372fBggVcvnwZUK7QFM4MGB8fX2S1pjB6enoaLzYdHZ0n/7IzMIDMTMjKYkzCBmY+EjMADwxMGN/9HerH3+DNqJt0l8mRa1dOzYnKplLmQlAmxFxXD8/DPOfl5SGTyZDL5apkaunZufhOr/5VqQufd8NQt2zfbzKZjM2bN6sJhR49erBu3TqV/0zh5HD5IqnwNn9/f6ZPnw5A3bp1+fHHH9m7dy/dunVjx44dXL9+ndDQUOzt7QGYOXMmXbp0Uc3V7du38fb2pn379shkMjw8PIqMs/C8FkZXV5fly5czZswYfv75ZwICAggKCmLIkCGqoJU9e/YQERFBfHy86vkzb948/vnnH9avX8/YsWORyWRkZmayYsUKnJ2dAfjhhx8ICQnhm2++wd7enpkzZzJ37lxCQkIwNTXFy8uLS5cu8csvv/Daa6+pxvfee+/Ru3dvAD7//HMaNmzIjRs3qFevHi4uLioxBzBp0iS2b9/O33//TWBgoGq7l5cXc+fOVb3Oz8Q7c+ZMOnbsCMDUqVNVK1v6+vqMGTOG8ePH8+2336Knp8fZs2c5c+YM69evRy6Xo6enx+eff67q09PTk6NHj/LXX38xZMgQTZcHcrkcmUym8R4uzz1dYw7AnTp1IiIigjNnzqj+mjVrxrBhwzhz5gx16tTB3t5ebfk4Ozubffv20bp165oZdJs2YGSkFDRaWrSIvlikyUXbOky070jXeXvZePouuXm1wyYsEAgENUXHjh3Vvuu///77ch3/eKSrg4OD6uF7+fJlXFxcVEIGUJlc8hkxYgRnzpyhbt26TJo0iR3ldAUYMGAA0dHR/Pvvv3Tr1o3Q0FACAgJYvnw5oPxxnpqaipWVFcbGxqq/yMhIrl+/rurH1dVVJWQAAgMDUSgUXL58mXv37nH79m3GjBmDs7MzpqamGBsb88UXX6j18fh85P/Yz5+PvLw8Zs6cib+/v2o8O3bs4NatW2p9NGvWTON7Lanvvn37oq2tzYYNGwBYunQpHTt2xN3dXXXMokWLaNasGTY2NhgbG/PLL78UOXdVUGMrMyYmJvj6+qptMzIywsrKSrV98uTJfPnll3h7e+Pt7c2XX36JoaEhQ4cO1dRl1VOnDrRsCVu3QmYm32/9jlajftbY9NqDLCavOcN3u64wsaMX/Zo4oaNV48FjAoHgGcJAR4sLn3er8vMoFApSklMwMTVBLpdjoFO+VWcjIyO8vLyKbJfL5SqH13w0OX0+/gtdJpOpnGNLcz0ACAgIIDIykq1bt7Jr1y4GDRpE586d+euvv8r8HvT19enSpQtdunTh008/ZfTo0Xz22WeMGDEChUKBg4MDoaGhRY4zNzcvts/8cRd+Pz///DMNGzZUq830uGNs4fnI7yP/+Hnz5vHtt9/y3Xff4efnh5GREZMnTy7iZ2VkZKRxTCX1rauryyuvvMKyZcvo378/q1at4rvvvlO1X7t2LW+//Tbz5s0jMDAQExMT5s6dy7Fjx4qdg8qi9oXcFOKDDz4gIyODiRMn8uDBA1q2bMmOHTswMTGpmQHJ5fDWW3DqFCQmYp8YTYO461yw8yz2kKjEdD74K5zvd19lQgdPBjZ1Rq+Wmp8EAsHThUwmw1C36r/GFQoFubpaGOpqV2q9IBsbG86dO6e27cyZM+UyL9SrV49bt24RFxenckHQFFRiamrK4MGDGTx4MAMHDqR79+7cv38fS0vLCo29QYMGqtw0AQEBxMbGoq2trbZK8Ti3bt0iOjoaR0dHAI4cOYJcLsfHxwc7OzucnJyIjIykd+/emJqaVmiuDxw4QJ8+fXj55ZcB5Wd39epV6tevX+6+NDF69Gh8fX358ccfycnJoX///mrnbt26NRMnTlRte3xVqaqoVUsFoaGhaipPJpMxffp0YmJiyMzMZN++fUVWc6qd4GAYOBBMTUFHhzV/fljqIdbGutx5kMHHG84RNCeUZYciyawGpz2BQCCozQQHBxMWFsZvv/3G1atX+eyzz4qIm9Lo0qULnp6eDB8+nPDwcA4dOsTHjwIw8lcWvv32W1avXs2lS5e4cuUK69atw97evsRVk3wSExMJDg7m999/Jzw8nMjISNatW8ecOXPo06cPAJ07dyYwMJC+ffuyfft2oqKiOHz4MJ988glhYWGqvvT19Rk+fDhnz57lwIEDTJo0iUGDBqlMZNOnT+err75i0aJFXLlyhYiICJYtW8Y333xT5vnw8vJi586dHD58mIsXLzJu3DiVc29lUL9+fVq1asWUKVN46aWXVMUi888dFhbG9u3buXLlCtOmTdMoLKuCWiVmngrkcujdWylmZDJM8koPkUxIzeb9bnWxN9UnNjmTGf9doO3svSzef520LFEGQSAQPJ9069aNadOm8cEHH9C8eXNSUlJ49dVXy9WHlpYWGzduJDU1lebNmzN69Gg++eQTAFV0jLGxMbNnz6ZZs2Y0b96cqKgotmzZUqaVD2NjY1q2bMm3335L+/bt8fX1Zdq0aYwZM4YFCxYAStG0ZcsW2rdvz8iRI/Hx8WHIkCFERUWpBax4eXnRv39/evbsSdeuXVUrHPmMHj2axYsXs2rVKho1akRQUBDLly/X6LBcHNOmTSMgIIBu3brRoUMH7O3t6du3b5mPLwujRo0iOzubkSNHqm0fP348/fv3Z/DgwbRs2ZLExES1VZqqRCY9brB8xkhOTsbMzIykpKQnD83OJyICRo+Gs2dBJqPlqJ+JM7Yq9bCNr7fhfHQSP+69zt2HGQBYGOowqq0Hr7Z2x1S/aqMxcnJy2LJlCz179nzmIz9qGjHX1cPzNM+ZmZlERkbi4eFRYjqLqkChUJCcnFxh00d1c+jQIdq2bcu1a9fw9CzeDaA28jTM9cyZM1m9ejURERFP3FdJ13V5nt+1c6ZqOyYmoK+vzPJrbMxvG/5XpsP6LjxEdq6C0Pc7MGegP+5WhjxIz+HrHVdo+9Uevtl5hYfpNZMMSyAQCJ5WNmzYwM6dO4mKimLXrl2MHTuWNm3aPHVCpraTmprKiRMn+OGHH5g0aVJND0cNIWYqgqsr1K0LkgSpqdSNi9TYTDe3qDCZ8d8Fhiw+Sr8mTux6J4j5QxrjbWtMcmYu3+++Spuv9jB72yUSUrM09CgQCASCx0lJSWHixInUq1ePESNG0Lx5c/7555+aHtYzxxtvvEHbtm0JCgoqYmKqaYSYqQhyObz5pnKFJisLJIluV48WaZatrUv9pLtFtp+8+QDvj7dyPy2bPo2d2D65PT8OC6C+gylp2Xn8FHqdtrP38L9NF4hPzqyOdyQQCARPLa+++ipXr14lMzOTO3fusHz5cqysSjf9C8rH8uXLycrKYs2aNUXCxWsaIWYqip+fMqpJJgNJYtH6LzQ2u2jmRH9jzfUlWny5m8PXEpDLZfT0c2DLpLYsebUZjZzNyMxR8OvBSNrO2cu0jedUPjYCgUAgEAjUEWLmSejVCywtQVu7xKRNG1IMmNLNBzODog6KQ5ccY/a2S6rET50b2LHx9TasGNmCZm4WZOcqWHn0Jh3m7mXq3+HcSix74S2BQCAQCJ4HhJh5Enx8wNYWdHXByoqzKzWHoEkyGQv3XGNWfz9sTIrWjfop9Dodvw4l9VGYtkwmI8jHhnXjA1k1piWBdazIyZNYfeI2HeeF8s7aM1y/l1qlb00gEAgEgqcFIWaeBHd3CAhQ/l+hwExWfCK81BwFX265yKKXA7A3LRpWGZWYju9n27kWn6LaJpPJaO1pzZ9jW/HX+ECCfGzIU0isP3WXzt/s441Vp7gcm1KkL4FAIBAInieEmHkS5HIYPhysrZWvU1NZ/+fUYpvfeZDB7K2X+X10CxzNNOeJ6PzNfv45U9RpuJm7JStGtuCf19vQpYEdkgSbwmPo9t1+xq0M49zdpEp5SwKBQCAQPG0IMfOkBAdD375gbw86OgQk3Cix+fGo+yzef4M14wJxtjDQ2Oat1Wd4d+1ZcjRU3G7kYs4vrzZjy6R2hPg5IJPB9vNx9PrhIK8tO86pWw8q410JBAKBQPDUIMTMkyKXw7hx0Lix0nfGzo73w0quxLo27A7bz8eyZlwgblaGGtv8feoOzb7YVWxodgNHUxYOC2DH5Pb0beyIXAZ7L9+j/4+HeXnJMY7dSHzSdyYQCARVzvTp02ncuHGJbaKiopDJZJw5cwZQ1vGTyWQ8fPjwic/foUMHJk+eXGKb5cuXq9VxKsuYy0tlvqeSeHwun5SqmIuKIMRMZVC/PgwaBBYWkJ7O60fXlXrIF5svciU2hTVjA/Gw1lyKPSkjhxZf7i5RmHjbmfDdkCbsfrcDg5o5oy2XcfBaAoMXH2XQoiMcuHqPZ7xihUAgqKXIZLIS/0aMGMF7773H7t27VceMGDGiSC0hFxcXYmJinqjQcHFiYf369fzvfwVZ3N3d3dUKHgMMHjyYK1euVPjcAKdPn6ZXr17Y2tqir6+Pu7s7gwcPJiEhAYDWrVsTExODmZnZE52nunn886sphJipLBo1Am9v5eqMrm6ZDpn4xymSM3NYM7YVnjZKQaOjJUNXS/1jGbz4KD/vu16iKPGwNmLOwEbsfa8Dw1q6oqsl53jUfV759Tj9fjzMnktxQtQIBAJQKCAqSlljLipK+bqKiImJUf199913mJqaqm2bP38+xsbGpSa409LSwt7eHm1t7Uofo6WlJSYmJiW2MTAwwNbWtsLniI+Pp3PnzlhbW7N9+3YuXrzI0qVLcXBwID1dmW5DV1cXe3v7EtN81EbK8vlVB0LMVBauruDkBA8fglzO8Q3FOwLnk5GTx6gVJ9DWkrN6bCB17UzIyZMw0tOijZf6xTFr6yVeXXpcFb5dHC6Whszs58f+DzryWht39LTlnLn9kJHLw+i36ChnE2UoFELUCATPJRcvwldfwaefwv/+p/z3q6+U26sAe3t71Z+ZmRkymazItsJmiunTp7NixQr++ecf1epNaGhoqaaRjIwMQkJCaNWqFffv3y+yPyoqio4dOwJgYWGhWhUCdTNThw4duHnzJm+//bbq/FDUzPQ4kZGReHl5MWHCBBQaxOHhw4dJTk5myZIlNGnSBA8PD4KDg/nuu+9wdXUFiq4c5Z9z06ZN1K1bF0NDQwYOHEhaWhorVqzA3d0dCwsL3nzzTfLyCiJpZTIZGzduVDu/ubk5y5cv1zj2vLw8Ro0ahYeHBwYGBtStW5f58+ertQkNDaVFixYYGRlhbm5OmzZtuHnzJiDMTM8ecjm0aqX8f24utmllc8S9fT+D8b+fxMxAh1VjWlLP3oQH6TlciklhXFAdtbYHribgN307V+NKD8e2N9Pns94NOTglmHHt62Coq8X56BSWXtGi98Ij/Hs2mjwhagSC54eLF+H77+H0aWUEZt26yn9Pn1ZuryJBUx7ee+89Bg0aRPfu3VWrN61bty7xmKSkJLp27Up2dja7d+/G0tKySBsXFxf+/vtvAC5fvqxaFXqc9evX4+zszOeff646f2mcO3eONm3a8OKLL/LTTz9prHRtb29Pbm4uGzZsKNcKeXp6Ot9//z2rV69m27ZthIaG0r9/f7Zs2cKWLVtYuXIlixcv5q+/SvbTLAmFQoGzszNr167lwoULfPrpp3z00UesXbsWgNzcXPr27UtQUBDh4eEcOXKEsWPH1roVJCFmKhM/P1VUE9nZtLtTtvLoxyPv8+H6CCyNdPlzTCt8nUxJTMtm7YnbzBnor9ZWkqDLt/v572x0mfq2MdHjw571OTglmAlBHuhrSVyJT2XSn6fp8s0+/jp5h1wNUVMCgeAZQqGADRsgIQEaNABTU9DSUv7boIFy+8aNVWpyKgvGxsYYGBigp6enWr3RLcFsHxcXR1BQELa2tmzevBkjI83+h1paWiqRY2trq1oVehxLS0u0tLQwMTFRnb8kjhw5QlBQEO+88w6zZs0qtl2rVq346KOPGDp0KNbW1vTo0YO5c+cSFxdXYv85OTn89NNPNGnShPbt2zNw4EAOHjzIr7/+SoMGDejVqxcdO3Zk7969JfZTEjo6OsyYMYPmzZvj4eHBsGHDGDFihErMJCcnk5SURK9evfD09KR+/foMHz5ctaJUWxBipjIxM1M6Azs4gIEBK7bMLfOhf5+6w9ztl7Ew0uWPUa1o5GzGg/QcZm6+yIqRLfCxM1Zr/+afp5n+73mN4duasDTS5Z3O3nwWkMdbwZ6YGehwIyGN99adpeO8UP48fovsXCFqBIJnklu34NIlcHFR1pMrjEwGzs7KlZlbt2pmfBWkc+fO1KlTh7Vr16qJnh49emBsbIyxsTENGzasknPfunWLzp0788knn/Dee++V2n7mzJnExsayaNEiGjRowKJFi6hXrx4REcX/6DU0NMTT01P12s7ODnd3d4yNjdW2xcfHP9F7WbRoEc2aNcPGxgZjY2N++eUXbj26FiwtLRkxYgTdunWjd+/ezJ8/v0wrVtWNEDOViasrtGypXJ3R0kKeV7J/y+P8GHqdBXuuYmaow8rRLQlwNScpI4c3Vp3iy35+DA90U2u//HAUfRYcIq4clbUNteGNjp4cmhrMlO71sDLS5fb9DD5cH0GHuXv57UgUmTnFZzIWCARPISkpkJkJxaxcYGSk3J/ydGUUDwkJ4cCBA1y4cEFt+5IlSzhz5gxnzpxhy5YtVXJuGxsbWrRowerVq0lOTi7TMVZWVrz44ovMmzePixcv4ujoyNdff11sex0d9Xp+MplM47bCfjoymayIKSsnJ6fYc6xdu5a3336bkSNHsmPHDs6cOcNrr71Gdna2qs2yZcs4cuQIrVu3Zs2aNfj4+HD06NEyvefqQoiZykQuh379lPWacnPB2przy8eWq4uvd1zh6+2XMdXX4bdRLWnhbklKZi4jlp2gdyNH5g9prNb+QkwyLb/czdFy5pUx1tNmQgdPDkzpyLReDbA10SM6KZNP/zlPuzl7WXLgBunZ5RNjAoGglmJiAvr6kJameX9amnJ/KVE91YGurq6aQ2tJfPXVVwwfPpxOnTqpCRonJye8vLzw8vLCzc1N1S9Qat9lPb+BgQGbNm1CX1+fbt26kVJOIairq4unpydpxX0mFcTGxkZt5eTq1auqiClNHDhwgNatWzNx4kSaNGmCl5cX169fL9KuSZMmfPjhhxw+fBhfX19WrVpVqeN+UoSYqWzq14cXX1TaotPSMEov/y+dBXuv8e7as+hry1k+sjmt6liSmpXLq0uPY2+qz+ZJbYscM2TxURbvLzl8WxOGutqMauvB/g868r8+DXE00+deShZfbL5Iu9l7+TH0GimZxat6gUDwFODqCvXqwe3bSse7wkgS3Lmj/O6qBX4Q7u7uhIeHc/nyZRISEkpcVQD4+uuvGTZsGMHBwVy6dKnYdm5ubshkMjZt2sS9e/dITdVcrNfd3Z39+/dz9+5dVQ6Y4jAyMmLz5s1oa2vTo0ePYvvctGkTL7/8Mps2beLKlStcvnyZr7/+mi1bttCnT58Sz1FegoODWbBgAadOnSIsLIzx48cXWc0pjJeXF2FhYWzfvp0rV64wbdo0Tpw4odofGRnJhx9+yJEjR7h58yY7duzgypUr1K9fv1LH/aQIMVMV5OecMTYGS0smHV1T7i7+PnWHYUuOkZWjYNmIFrT1siY9O48Ry06QlJ7DqWld8LJV96P5csslJv5xqkLiQ19Hi1cC3Ql9vyOzB/jhamlIYlo2c7Zdpu3svXy36wpJ6ULUCARPJfmrxtbWcOECJCUpV4+TkpSvra2VZVk0ROJUN2PGjKFu3boqH45Dhw6Vesy3337LoEGDCA4OLja5nZOTEzNmzGDq1KnY2dnxxhtvaGz3+eefExUVhaenJzY2NqWe29jYmK1btyJJEj179tS40tKgQQMMDQ159913ady4Ma1atWLt2rUsWbKEV155pdRzlId58+bh4uJC+/btGTp0KO+99x6GhpozzQOMHz+e/v37M3jwYFq2bEliYiITJ05U7Tc0NOTSpUsMGDAAHx8fxo4dyxtvvMG4ceMqddxPikx6xjOpJScnY2ZmRlJSEqamptVzUoUCJk+Gv/+GlBSktDQ83v+3Ql25WBqw+JVmeFgbMW7lSfZduYeetpxfXm1Ga08r/rfpAiuO3FQ7xsncgGWvNcfHTn3JOCcnhy1bttCzZ88SlTpAbp6Cf89Gs2DvNW7cU96cJnravNrajVFt62BpVLbEgM8r5ZlrQcV5nuY5MzOTyMhIPDw80NfXXKi2VC5eVEY1Xbqk9JHR11euyPTtq/y3GBQKBcnJyZiammoMPRZUHs/bXJd0XZfn+f3sz1RNIJfDCy8oowRSUylPNL61sZ7a69v3M+j/42F2X4xn8atN6VTPlqxcBaN/C+PA1QRm9PHl+5eaqB1z92EGXb/dz79lDN/WhLaWnP4Bzux8O4gfXmpCXTsTUrJyWbj3Om1n7+HLLReJTym747FAIKgF1K8PU6fC55/DtGnKf6dMKVHICARPA0LMVBXBweDjo7RHSxIXvxlYpsMSUrNo6mahti0jJ4/XV51i/q6rLBwWQLeGdmTnKhi38iQ7L8TxQiNHtkxqV6SvSY/Ct58k5FpLLqN3I0e2vtWOn19piq+TKenZeSzef4N2s/cy/d/zxCRlVLh/gUBQzcjl4O6uzIvl7l4rTEsCwZMiruKqQi6HLl2U/8pkGCjK7m9y8uYD+jZ2LLL9x9DrjP/9JF/28yPEz4HsPAUTfj/JtnMxNHA05fS0LtR5rGjl8sNRvPTL0XKFb2t+OzK6NbTnvzfasmxEc5q4mpOVq2D54SiC5oTy0YYIbt8v3mNeIBAIBIKqQoiZquTFF5WJ9B65Ja1aO63Mh248E81LLVyKbA+9fI+Bi47wRrAXLzRyJFch8fqq02wKj8bCSJcdb7cvko/m5M0HdPlmH8cii9YsKS8ymYyO9WxZP6E1f4xuSUsPS7LzFKw6dosOX4fy3rqzRCZUbqihQCAQCAQlIcRMVVKnDrRpo1qdaR1bfNigJv48fpvO9YtWao1MSGPgT4fp4WtP/yZO5CkkJv15mo2n76KtJWdGH19+eMyPJjkzl5eXhrH7btGEShVBJpPRxsuaNeMCWTsukHbe1uQpJP46eYdO80J5a/XpMtWQEggE5eMZj9kQPGdU1vUsxExVIpfDW2+BnR1oa0NeHiGXSw8zLMyui/GYGRSN0kjLzmPCH6dwsjDgxabOKCR4e+0Z/jp5B0Dl5/I4/97S4o3VZys1d0wLD0tWjmrJhomt6VTPFoUE/5yJput3+5nw+0nORydV2rkEgueV/GitkhKgCQRPG/nX85NGI4rQ7KpGoYB33oGdOyE5GSkhAY+3Kl7hVBOd69tiqKvNv2ejkcngq/5+DG6uTH71MD2bFxYc4tZj/ix1rI1Y9ErTIuHblcG5u0ks2HONbedj1cb4ZrA3jVzMK/18tZHnKWS4Jnne5jkmJoaHDx9ia2uLoaFhtVUuVigUpKamYmxs/FyEC9ckz8tcS5JEeno68fHxmJub4+DgUKRNeZ7f2lU1UMEj5HIYNw4yMmDvXmR6ehjmZJKuU8E8ERrYdTEeTxsj2vvYsP/KPab8HUFOnsTLrdwwN9Rl73sdmPHfeX4rlI/mRkIavb4/yNwX/enT2KnSxgLg62TGoleacjk2hQV7r7EpPJpdF+PZdTGe9j42TAr2opm7ZaWeUyB4Hsiv4vykhQXLiyRJZGRkYGBgUG0C6nnleZtrc3PzUquTlwWxMlNd7NqlNDnduUOWrj51Ry2t9FOY6Glja6rH9UdJ7qb3bsCINh6q/f+cus1ba8OLHDeitTsf9ayPrnbV/Aq4fi+VH/deZ+OZu+QplJdbqzqWTAr2JtDT6pm8YZ+3FYOa4nmd57y8vFLT/FcmOTk57N+/n/bt2z9X81wTPE9zraOjg5aWVrH7xcpMbcTODhwdISsLPT290tuXET1tOVmP8sikZOWSmlBQHHL6fxfIVUiMblcHgJ5+9kRfOsXscPWPffnhKCLuJrFwaAD2ZpW3YpSPp40x8wY14q1O3vy07xp/nbzD0Rv3OXrjGE3dLHgj2IsOPjbPpKgRCKoCLS2tEh8CVXG+3Nxc9PX1n/kHbE0j5rpiPLsGudqGiYnyT1sbbt1i2brpldJtVq6CwDpWqtePr7N9sfkiP4UWVEB1NIKwjzriZG6g1u7kzQf0+uEAh6+XXFjtSXC1MmRWf3/2vd+R4YFu6GrLOXnzAa8tO0GfhYfYcT5WRGoIBAKBoNwIMVNduLpC06aQnQ2pqXS8EVZpXR+5kciYdh7F7p+97RLf776qem1moMP+Dzryciv1CrkJqdkM/eUYi/aVv/p2eXA0N2BGH18OftCR0W09MNDRIvxOEmNXnqTH/ANsDo9BoRCiRiAQCARlQ4iZ6kIuh/79oZCJKeTSgUrr/pcDkcwe4IdeMX4v3+y8wne7r6lWbrTkMr7o68eCoU2KtP1q6yUm/F6x6tvlwdZUn096NeDglI5M7OCJsZ42l2JTeH3VKbp+t58Np++Qm1fxUgwCgUAgeD6oUTHz008/4e/vj6mpKaampgQGBrJ161bV/hEjRiCTydT+WrVqVYMjfkLq1wdfX9XLH/6ZU6ndT/k7guWvtcCqmIrWC0NvsOmWXG3VpZe/Izvebl+k7bbzsbyw4BCXY6s+8Z2VsR4fdK/HwSkdeauTN6b62lyLT+XtNWfp/M0+1p64/UT1pQQCgUDwbFOjYsbZ2ZmvvvqKsLAwwsLCCA4Opk+fPpw/f17Vpnv37sTExKj+tmzZUoMjrgTaFwgHOWUzpXzaq0GZu3//r7P8NaE1njZGGvfvipYze/sVNUHjY2fC2U+7Ym+q7vwbmZBG34WH+OfM3TKf/0kwN9Tl7S4+HJoazPvd6mJppEtUYjof/B1Ox69DWXn0Jlm5edUyFoFAIBA8PdSomOnduzc9e/bEx8cHHx8fZs6cibGxMUePHlW10dPTw97eXvVnafmU5ycZMwYMDVUvjy94udRDPt90gbkD/cvU/Z0HGby37ix/T2it5hhcmF8P3WTGfxfUBI2ZoQ6HpgYzrKW6H01GTh5vrT7zxNW3y4OJvg6vd/Ti4JSOfNyzPtbGetx9mMG0jedoP2cvSw9GkpEtRI1AIBAIlNSa0Oy8vDzWrVtHWloagYGBqu2hoaHY2tpibm5OUFAQM2fOxNa2aL2ifLKyssjKylK9Tk5OBpSx+9WZl6FYtLSUgmbxYgAsFFmlHKDk/b8K8sM4WxjQuZ4Ny4/c0tj25M0HvLr0GH+OasG0fy+w/nR0kTbLD0eRnZvLZyH1kcsLQqKn96pHCzfzIvlolh+O4uztB8wf3AiHKgjf1oSODEYEujCkmSNrT95l8YFI4pKz+HzTBRbuvcaotm4Mbe6CkV6tuYxV5F9rteKae4YR81w9iHmuPsRcF1CeOajxpHkREREEBgaSmZmJsbExq1atomfPngCsWbMGY2Nj3NzciIyMZNq0aeTm5nLy5Mlic7VMnz6dGTNmFNm+atUqDAutiNQmDsTK+CuyfDkjmlgpsNGHHXdLXlwbWy+PW6kytt3R3C7QVsGgOgrkj6V4iU2HWWeLigRjbYkRPgq8zar/sslVwPF7MnbelXM/SzlgQ22JDg4K2ttLGNQ+TSMQCASCCpKens7QoUPLlDSvxsVMdnY2t27d4uHDh/z9998sWbKEffv20aBBUT+RmJgY3NzcWL16Nf3799fYn6aVGRcXFxISEmo2A/DjTJsG33+veuk9aV2FumnubsGJqAcltrEx1kUulxGXrHkVqJefPV8P9EPrMUWTnJFDt+8PkZCarbZdLoN3u3gzpq17jSS6y8lT8O/ZGBbtjyQqUVlzykRfm1dbuTIi0A1zw5pPNJWTk8POnTvp0qWLSHxVhYh5rh7EPFcfYq4LSE5Oxtra+unIAKyrq4uXlxcAzZo148SJE8yfP5+ff/65SFsHBwfc3Ny4evVqkX356OnpaVy10dHRqV0XxsiR8N13kFU2M1NxlCZkAO49JkYeZ1NELIlpOawc1QJtrYIVHCsdHY5/1JmPN57jz+MFJi2FBHN3XOXsnWS+HtQIU/3qnVcdHRjS0p0Xm7uxKTyaBXuucTU+lYWhN1h++CYvB7oxpl0drI0rL9Nyxcday667ZxQxz9WDmOfqQ8x1+Spp17o8M5Ikqa2sFCYxMZHbt29rrK751OHlBU0KcrxEze5VKd0G17PF3ar85rQjNxIJmhtKzmN5XeRyGbP6a85Hs+NCHH0WHOJSbHKFx/skaMll9GnsxPbJ7flpWAANHExJy87j5303aDt7D5//d4G45MwaGZtAIBAIqo8aFTMfffQRBw4cICoqioiICD7++GNCQ0MZNmwYqampvPfeexw5coSoqChCQ0Pp3bs31tbW9OvXryaHXTnI5TBjhlpkU2Ww51I8UYnpdK6v2Um6k6MCe1PNKxZ3H2bg/fFWjVFLvfwd2fVO0Xw0kQlp9Ft4mI2nqyd8WxNyuYwefg5sntSWX4c3o5GLOZk5CpYeiqTd7L18sjGCOw/Sa2x8AoFAIKhaalTMxMXF8corr1C3bl06derEsWPH2LZtG126dEFLS4uIiAj69OmDj48Pw4cPx8fHhyNHjmBiYlKTw648OneGAQPAzAzkci7N0+wHVBF2XYzXuH13tJxfXglgw8TWxR7r88lWjQ9/L1sTwqd3LeKTkpGTx+Q1Z/jsn3M1mtxOJpPRqb4dGye25reRLWjubkF2noLfj96iw9xQpvwVzs3EtBobn0AgEAiqhhr1mfn111+L3WdgYMD27durcTQ1gFwOH34ICQmwfTv6uSX7tlQWvRceYflrzYmc1ZPZ2y6zaN/1Im3azt6Lv7MZb3XyJsjHRuVLY6qvw6lPuvDRhghWn7itdsyKIzeV1beHBeBgZlCkz+pCJpPR3seGdt7WHL1xnx/2XOXw9UTWhN3mr1N36NPIkYkdvfCyNa6xMQoEAoGg8qh1PjPPHfXrQ7t2IJOBXM6uX8ZXy2lHLDvB78duMbVHPeYM9Ef78dhsIPxOEqNWhNFq1h5mbr6gKm0gl8v4aoC/Rj+aU7ce0uv7gxy+VnXVt8uKTCYj0NOKVWNa8feEQDrUtSFPIbH+9F26fLuP11edqjF/H4FAIBBUHkLM1AbMzUFbG2QyvB5Un+/JtI3nmP7veQYEOPPbyBaY6GteqEtIzeKXA5F0+24/vX84yIrDUTxIy37kRxNUpH1iWjYv/3qMn0Krtvp2eWjqZsny11rw7xtt6NrADkmCzeExdP/uAGN/CyPiTlJND1EgEAgEFUSImdpAw4ZKMZOnTNHf53xotZ16+eEo+i48RCMXczZMbI2zRcnmoYi7SXz273lafLmL8StPEpWQxulpXTB+LAuvQoLZ2y4xbuVJkqu4+nZ58Hc2Z/Grzdj6VjtC/B2QyZRRWb0XHGTEsuOcvFl6qLtAIBAIahdCzNQGWrcG10c1kSSJ+Zu+rtbTR9xNouFn2zHW02HDxDY0djHX2M7J3IBJwV40dDQlJ09i2/lYRv8WRpdv9zGomQuNnM2KHLPjQhwv/HCw1plz6juYsnBoADvfbk+/Jk7IZRB6+R4DfjrMsCVHOXojsaaHKBAIBIIyIsRMbUBbG95+W/lvDdJq1m5+OXCDVWNa0sPXvsj+uw8zWH44ijkD/dn6VjtGt/XA2liXhNRslh6K5GwxppqoxHT6LjxUo+HbxeFla8K3gxuz590ODG7mgrZcxqFriQxZfJRBi46w/8q9WmMqEwgEAoFmhJipLYwaBY0bq15GVlISvfKyeP8NGny6nY71bBnZxqPI/uTMXEK+P8jV+FQ+6dWAIx92Ysmrzeje0B4dreJLG2TmKJi85gyf1nD4dnG4Wxsxe6A/oe934OVWruhqyTkedZ9Xlx6n34+H2X0xTogagUAgqKUIMVNbkMth2DBlVBNQ/RWP1Pngr3D+PH6L+g6a62FM+vM0s7ZeRC6T0bmBHYteacqxjzozvXcDfJ2Kr6Hx25GbDPr5CDFJGVU19CfC2cKQL/r6sf+Djoxs44G+jpwztx8yakUYId8fZGtEDAqFEDUCgUBQmxBipjbRrBkUSggY/u2gGhyMMhnexZjifV1+3neDEcuOk5SudPC1NNJlRBsPNr3Zjq1vtdO4sgNw5vZDWn+1p1aEbxeHvZk+n/ZuwIEPghkXVAdDXS0uxCQz4Y9TdJ+/n3/O3CVPiBqBQCCoFQgxU5to1Qrq1FG9NM2u/Sn4D1xN4IWFB7kSl6K2vb6DKZ/2bsDVmT3o29ixyHGSBEOXHKP/j4dqpdkpHxsTPT7sUZ9DU4J5M9gLEz1trsSl8tbqM3T+Zh/rwm4XqWclEAgEgupFiJnahLY2TJwIurqqTb+v/rgGB1Q2bj5y8N12LqbIPh0tOd8NacLud4vmowFlkj2fT7bywV9nS1wFqmksjHR5t2tdDk4N5t0uPpgb6hCZkMb7f4UTPC+UVcdukZWbV9PDFAgEgucSIWZqG6NGQffuqsimtjfP1vCAykZ6dh7jfz/FNzsua/Qp8bQx5tyMbmhpyDQMsDbsDj3mHyDk+wMsPRhJYqrmyuk1jZmBDm928ubglGCm9qiHtbEut+9n8NGGCDrMDWXF4Sgyc4SoEQgEgupEiJnahlwOX32lLHPwiLZRp2twQOXj+z3XGPNbmMZEecZ62lz9QrPZKZ/z0cl8vukCLb/czdjfwthxPrZWmnGM9bQZH+TJgQ+CmdarAbYmesQkZfLZv+dpN2cvvx6KIktoGoFAIKgWhJipjdSvD35+qpe/r5lWg4MpP7svxdN34SGu30stsk8ul/HdkCbMH9K4xD5yFRI7LsQxduVJWn25m8//u8CF6NpnhjLQ1WJUWw/2f9CR//X1xcncgHspWXy17QozTmmxaN8NUmpRBmSBQCB4FhFiprZSKOdMfrj208SNe2l0mreP3RfjNO7v09ipWD8aAENdLXr5O2BtrEdimjIpX8/vD9Bzfu00Q+nraPFKKzf2vteBOQP8cbU0IC1Xxrxd12jz1R6+3XlFFfUlEAgEgspFiJnaSp8+oKen/L8k1VgSvSdl1IowBi06UqIfjSbSs/M4fD2ReYMasXREM3r62aOrJedCTIEZasxvYWw/H1uroqF0teUMau7C9klteNkrjzrWRiRn5jJ/91XazN7DnG2Xap0QEwgEgqcdIWZqK15e0Lat6uXTtzZTwPGo+9T5aAvrT90pImqM9bSJnNWTXv4ORY67n5bNa8uOczEmhQUvBXDso0583qchjZzNyFVI7LwQx7iVJ2k1azcz/jvP+ejaU/laW0tOcxuJLW+2ZsHQJtSzNyE1K5cfQ6/TdvZeZm6+QHxyZk0PUyAQCJ4JhJiprcjlMH8+ODmpNkV8+2INDujJeWftWep/uo2Np++SW8ipVyaTsWBoAN8OblTkGIUEc7dfZuzKk8jlMl4NdOefN9qy4+32jGtfBxsTPe6nZbPsUBQh3x+kx/wD/HowkoRasvqhJZfRy9+RLZPasfiVpvg5mZGRk8cvByJpO2cvn/1zjuiHtTMbskAgEDwtCDFTm2nYEKZOBTMz0NPDRMqt6RE9MVm5yhpNwfP2FcnN0q+JM7ve0exHs+tiHC8sOKjKReNjZ8KHPetzZGowy0Y0J8TPAV0tORdjkvnfpgu0qmVmKLlcRteG9vz7RhuWvdacAFdzsnMVrDhyk6C5e/lwfTi379f+JIkCgUBQGxFiprbTqxe0bw8NGoBMxto/ptT0iCqFW/fT+WhDBO3n7GXJgRukZyuFmpetMeeL8aO5mZhOvx8Psf7UHdU2bS05HevZsnBYAMc/7sT/arkZSiaT0bGuLX9PaM2q0S1pVceSnDyJP4/fpsPXoby79iw3NESBCQQCgaB4hJip7bi6KsscGBtDTg4t7pyv6RFVKnHJWXyx+SJtvtrDD7uvkpSRg9EjP5qefvZF2mfmKHhn7Vk+2RhRJOOuuaEurzwyQ+18uz3jgoqaobp/t58lB27UuBlKJpPR2sua1WMDWTc+kHbe1uQpJP4+dYfO3+xj0p+ni5SIEAgEAoFmhJip7cjl0K8fZGYqCxoBXa8cqeFBVT4P0nOYt/MKbb7aw+xtl0hMy+bHYU2Z92JRPxqA34/eYtDPR4v1N/G2M+HDHo/MUK81J8RfaYa6FJvCF5sv0urL3YxeEca2czVvhmrubsnKUS3Z+HobOte3RSHBv2ej6frtfsavPMm5uzW/oiQQCAS1GSFmngbq11euzjxi8YaZNTiYqiU1K5efQq/T5qs9TP/3PIGeVhr9aHS15Jy9/ZBePxzk4NXiq29ra8npWNeWhUMfmaH6+tLIxZxchcSui3GM//0kLb/cxfR/z3PubhKSVHOVsBu7mLNkeHM2T2pLD1/lqtS287H0+uEgo5af4MzthzU2NoFAIKjNCDHztNC/P2hpqV7KFRXPlR/gal4JA6pasnIVLD8cRdDcvfyy/wabJ7VV25+dp0BfR879tGxeXXqMhXuvacxlUxhzQ11eaeXGP6+3UZmhbE30eJCew/LDUfT6QRkNteTADe6l1JwZqqGjGT+93JQdb7fnhUaOyGUFWZVf+fUYxyPv19jYBAKBoDYixMzTQtu24OGhenljbp8Kd3Xq1kO6NrCrjFFVOTl5EmvCbtP7h4P08nfA1dJQtS8zR4G2XFYofDuMpIyyZdnNN0MdLs4MNWs3o1ecYNu5mBozQ/nYmfD9S03Y9U4QA5s6oyWXceBqAoN+PsLgn49w6FpCja4kCQQCQW1BiJmnBW1tmDsXdHRUmwyyK550bceFOF5u5VoZIysz3rbGFT5WIcGm8BhuPRa+nPtoNUZXS86ui/G8sOBguWo4FTZDnfi4M1/09aWxizl5ColdF+MZ//upGjdD1bEx5usXGxH6XgdeauGKjpaMY5H3GbbkGAN+OszeS/FC1AgEgucaIWaeJvr2hYEDVS8vfDuw+LZl4PejtxjS3KXcxzV2Ma/Q+a7GK0OOrY31KnR8SWTnKbA21uNmYjr9fzrE3yfvlH7QY5gZ6vByKzc2vt6GXe+0Z3yQZ60yQ7lYGjKrvx/7P+jIiNbu6GnLOXXrIa8tP8ELCw6x/XxsqaY2gUAgeBYRYuZp49VXlUn0qJwSB6tP3C73MU/qiFpVYdEJqVm4WxmSmaPg3XVn+XhD0fDtsuJla8LUHvU4PDWY5a81p5e/A7ra6maoUctPsDUipsLnqCgOZgZMf6EhB6Z0ZEw7Dwx0tIi4m8S4lSfp+f0BNoVHkydEjUAgeI4QYuZpw8cHDAxUL68+ge/Ms0hUYjpuVobIZPDHMWX49t0nKBegrSWnQ11bFgwN4MRHSjNUE1elGWr3pXgm/HGKll/u5rN/zhFxp3rNULYm+nwc0oCDUzoysYMnxnraXIpN4Y1Vp+n67T7Wn7qjVjZCIBAInlWEmHnacHdXcwTWeYKopmeVm4npSJKygvXZ2w/p9f2BEsO3y0q+GWrDxDbseieICR08sTPV42F6DiuO3KT3goN0/+4Av+yvXjOUlbEeH3Svx6EpwUzu7I2pvjbX76XxztqzdPpmH2tO3KrxXDoCgUBQlQgx87Qhl8O4cWqbDvw0soYGU7vJf4A/SM/h5V+PsWDP1UrzKfGyNWZK93ocntqJFSNb0LuRI7raci7HpTBzy0Xafb2fxZfkbDsfV21mKDNDHSZ39uHQ1GA+6F4XSyNdbiamM+XvCDp+HcrKI1Fk5gjxKxAInj2EmHkaGTYM7ApCq12S42twMGXH2cKg9EZVyNc7rtDgs23cT8uutD615DKCfGz44aUmnPi4MzP7FZihzj+Q8+bqs9VuhjLR12FiBy8OTunIJyH1sTHR4+7DDKb9c56guXv59WAkGdlC1AgEgmcHIWaeRrS14a231Db9vP6LGhqMZgLrWBXZdudBxX1XKovMHAUB/9tJvx8PcfhaQqU6ypoZ6DCspdIMtX1SGzo7KYqYobp9t5/F+68Tn1LxsPqyYqirzeh2dTjwQUdmvNAQBzN94pKz+N+mC7Sbs4dF+66TmvX0V2IXCAQCmfSMJ6hITk7GzMyMpKQkTE1Na3o4lUduLtSrB9evqza5T9lUgwMqSmMXc3S0ZJyIelDTQykWa2Nduvva08vfkebulmjJKyNGDHJyctiyZQvduvfg+M0k/jp5h+3nY8l6ZPrKX9EZ2NSZTvVt0dPWKqXHJycrN4/1p+7yY+g1bt9XCktzQx1GtvFgeGt3zAx0Sumh9pE/zz179kRH5+kb/9OCmOfqQ8x1AeV5fmtX05gElY22NnzzDbz0EqQrE8l9uHcpszrWHv+Zp6GWUEJqNr8fvcXvR29hY6JHT197QvwdaeZmgbwShI2WXEZ7Hxva+9iQlJHD5vAY/jp5m1O3HrLnUjx7LsVjZqBDn8aODGzqjJ+TGTJZ5Qiqx9HT1uKlFq4MbOrMP2ei+XHvNW4kpPHNziv8sv8Gw1u7M6qtBxZGulVyfoFAIKgqhJnpaeaFF9ScgccdX1+Dg3n6uZeSxYojNxn08xFazdrN9H/PExZ1v9Kchs0MdBja0pX1E9uw+90gJnbwxN5Un6SMHH47cpMXFhyi23f7+XnfdeKTq84MpaMlZ2BTZ3a+E8T8IY3xsTMmJSuXBXuv0Wb2HmZtuVijtakEAoGgvNSomPnpp5/w9/fH1NQUU1NTAgMD2bp1q2q/JElMnz4dR0dHDAwM6NChA+fPn6/BEddC5swBb2/Vy0bRV2pwMM8O8SlZLD8cxcBFR2j91R4+/+8CJ28+qDRh42ljrAynnhrMbyNb8EIjR/S05VyJS2XW1ku0mrWb15YdZ3N4TJVFIGnJZfRp7MS2t9qz6OUAGjqakp6dx8/7b9Buzh5m/Hee2KSq9+0RCASCJ6VGxYyzszNfffUVYWFhhIWFERwcTJ8+fVSCZc6cOXzzzTcsWLCAEydOYG9vT5cuXUhJSanJYdcutLVhyhTQU5YI+GflOzU8oLLTvaF9TQ+hVEz0tIlNzmTpoUgG/HSYtrP38MWmC5y+9aBSIpPyzVDfv9SEE590ZlZ/P5q6WaCQYO/le7y+SpmUb9rGc5y9/bBKoqHkchndfR3Y9GZblo5oRmMXczJzFCw7FEX7OXv5eEMEdx6kl96RQCAQ1BC1zgHY0tKSuXPnMnLkSBwdHZk8eTJTpkwBICsrCzs7O2bPns24x3KtFMcz6wBcGIUCAgPh+HGg8hyB3+3iw7ydVbvSMz7Ik0X7rhfZHljHiiM3EsvUh7mhDg/Ty1YtuyL42BnTwMGUXRfj1aJ/nMwNCPF3IMTPAX9ndV+XJ3Xiu3Evlb9P3WH9qbvEFFod8bY1ZmBTZ/o1ccLWVP/J3lgxSJLEwWsJ/LD7Gsej7gOgLZfRP8CJiR28cLc2qpLzVgThLFk9iHmuPsRcF1Ce53et8ZnJy8tj9erVpKWlERgYSGRkJLGxsXTt2lXVRk9Pj6CgIA4fPlyDI62FyOXQp4/yXyBydq9K6XbezitM6OBZKX0Vx6J912nmZoGvk/qFeuRGIuPa12Fc+zql9vEwPYe2XtaMLUPbinAlLpWNZ6Jp4mrO9y81oU9jR4x0tbj7MIPF+2/QZ+Eh2s3Zy6ytFystl0wdG2Pe71aPg1OCWTmqBX0aK81QV+MLzFAjlh1nU3h0pZuhZDIZ7bxtWDs+kNVjW9HGy4pchcTasDsEzwtl8urTXIsXq6MCgaD2UOPRTBEREQQGBpKZmYmxsTEbNmygQYMGKsFiVyg5XP7rmzdvFttfVlYWWVkFzovJycmAUu3m5FTdr/caZ8AAmD8fKtkE91PodWQyqMr1u7CbytDtFu4WHC8Uxv3z/htYGOqw5JUmvLn6LBk5xafkP3gtgYPXEpg/yJ9fD0URfje50sd54GoCB64m4GJhwD8TA7kUm8LWc3HsuRzPnQcZ/LzvBj/vu4GrpQHd6ttgngbZ2U+eoK+Vuzmt3M35LKQuW87FseF0NCdvPST08j1CL9/DVF+bXv729G/ihL+TaaVGQzV1MWX58KacvvWQhftusO9KAhvPRPPP2Wi6N7BjYoc61LM3qbTzlZf8e/qZvrdrAWKeqw8x1wWUZw5q3MyUnZ3NrVu3ePjwIX///TdLlixh3759PHz4kDZt2hAdHY2Dg4Oq/ZgxY7h9+zbbtm3T2N/06dOZMWNGke2rVq3C0NCwyt5HbUMhwdtHa1yrVhpvNMjjj2tyHmSX7UEdYKXgVGLlLDya6Ugk5Wg+7zu+uTgYwoWHMk4nyjj/QEaOoqCtjb5EEyuJxlYKHA2hsnRGfAacuCfn+D0ZDwvNiZ2BREsbBc1sJMyqIML6dipsvyMn4kHB3PpZKOjqrMDVuPLPJxAInl/S09MZOnRomcxMNS5mHqdz5854enoyZcoUPD09OXXqFE2aNFHt79OnD+bm5qxYsULj8ZpWZlxcXEhISHh2fWbyWboU3n1X6UMDeE9aV8MDKhkrI10Sy1Fa4KMedfkvPIaIKlh1KQsLhjRiYegNLsYWXf36eqAfvfzsycrNI/RyApsjYth7KZ4cqUBo1LE2pIevPT197fC2Na6UFZQ8hcTRyPusPxXNjotxZD5avZLLoJ2XNf2bONKpng16OpWblO9SbAqL9kWy5XysatWuvbcVr3fwJMDVvFLPVRI5OTns3LmTLl26PPf+BVWJmOfqQ8x1AcnJyVhbWz+dYqZTp064uLiwbNkyHB0defvtt/nggw8A5SqOra2tcAAujhs3oGVLSFBWiM7U0qHeexsqrft69ibYmeqz78q9SutzVFsP5DL45UBkmdpbGenS0MmM/RUcg4m+NimZFU/hb6KnzT9vtOH73VfZeCa6yP7Jnb0Z3a4OenKJDf9tQcetCdsuxLP38j21ytVetsaE+DnQy98Bb7vKMdMkZ+awJTyGv07eUZnuAEz1tXmhsSMDm7rQyLlyk/Jdi0/lx73X+OdstKo0RGtPK94M9qZVHcsqSwCYj3CWrB7EPFcfYq4LKM/zu0bFzEcffUSPHj1wcXEhJSWF1atX89VXX7Ft2za6dOnC7NmzmTVrFsuWLcPb25svv/yS0NBQLl++jIlJ2R4Az5WYUSigc2fYu1e1qbJLHLTwsOSTkPq8sOBQpfVZx9qIXv4OfL/nWqX1WRL17E3Q09HibKEMxfXsTbikYcWlOHS15Kyf2JrdF+P5dlfRiK/e/vY00brDK/2VX0gpmTnsuRTPf2dj2H/lHtl5BcLGx86YED9HQvwd8LKtHFtNZEIa60/d4e+Td4guFA3laWPEwKYu9GvihL1Z5UVD3UxM46fQ6/x18g65j0RNc3cL3gj2pr23dZWJGvHFXz2Iea4+xFwX8NSImVGjRrF7925iYmIwMzPD39+fKVOm0KVLF0AZIjpjxgx+/vlnHjx4QMuWLVm4cCG+vr5lPsdzJWYAfvsNRo6EPGWES7yRBS3eWFnpp/n3jTYM++UYKZVYqHBgU2f+OnkHHS0Zvw5vzpnbD/mmCkPDW9Wx5EpcqqqKdksPS15q4crey/H8o2HVpTgmd/ZGX0eLr7ZeKrKvoaMJn/X2pbm7heqBnpyZw64LcWwOj2H/1Xvk5BXcgvXsTQjxcyDE34E6Nk8ubBQKiSM3Evnr5B22notRN0N5K2tDdWlgh34lmaHuPsxgUeh11py4rRJsjZzNeDPYm071bStd1Igv/upBzHP1Iea6gKdGzFQHz52Yyc2FRo3gwgXVpqoqQNnTz54tEbGV2qevkynn7iZjqKvFqjGt8HU05dtdV1i4t2gumqpAJoPBzVx4t2tdtp6L4dN/yp5xuiQznKGuFl/09SXE30GtqGRSRg47L8SxOTyaA1cTVKsaAA0cTFV5bCojt0tKZg5bIpRmqMLFP031tendSFkbqrGLeaUIjrjkTH7ed4NVx2+qBFR9B1PeDPaie0P7Sql7BeKLv7oQ81x9iLkuQIiZQjx3Ygbg339h8GDIVJoXLlu70W3UwhoeVPmxMNRh3fhAvGxNuJeSxaytF1l/6m61nNtYT5s3g714sZkLAf/bWal9v9PFh6EtXbE21lPbnpSew/YLsWwOj+HQNXVh4+tkqjRF+TngavXkUXlRCWn8XYwZakBTZ/o3ca4UM1RCahZLDkSy8kgUadnK1UJvW2PeCPail7/jE1cpF1/81YOY5+pDzHUBQswU4rkUMwC9e8OmghWZqlqdqWoczPT5e0JrHM0NADh16wHvrTvLjXtp1XJ+ZwsDpvVqwHe7rnIxpnKjqAY1c+a1Nh7Udyh6XT5Iy2bHhVg2hcdw+HqiyrkWwN/ZjBA/B3r6OeBi+WTCJt8M9ffJO2x5zAzV9pEZqmslmKEepGWz7FAkyw5HqRywPayNmNjBk75NnNDRqlgYvfjirx7EPFcfYq4LEGKmEM+tmAkNhW7dICcHJIn7BqYETFpV06OqEJ42Rqwb3xpLI2XilDyFxB/HbpbLBPSkOJjp09LDUmME05MSWMeKUW09CK5nq9H8cj8tm+3nlSs2h68nULjWZSMXc3r5OdDT3wGnR4KvoqRk5rA1Ipa/Tt5RlTEAZQRYvhmqyROaoZIzc/jtcBRLDkaqSlA4WxgwoYMnA5s6q5ngyoL44q8exDxXH2KuCxBiphDPrZjJzYVmzSAiQrXJ/f1/a3BAT0YjF3NWjW6JkV5BIsD7admVbgKqSVwtDRnZxp2BzVww1tOc8DAhNUslbI7eSFQTNk1czVUrNo5PKGyi8qOhTt3l7sMM1fY6NkYMrAQzVFpWLr8fvckvB26QkKp0wLY31WdcUB1eauFa5pUg8cVfPYh5rj7EXBcgxEwhnlsxA0oz09ixEBcHCgXxFja0GLuspkdVYdp5W7NkeDO1X++SJPH6qlOV7ohcXmb28+XjDecqpS9DXS2GtnBleGv3Es1I91Ky2HY+ls3h0RyLvK9WcqKpm4VK2DyJ6FAoJI6qoqFiyXhUB0omg7Ze1gxs6ky3hvYVNkNlZOfx5/Fb/Lz/OnHJymSX1sZ6jG3vwbCWbmriVRPii796EPNcfYi5LkCImUI812IGYMECmDEDEhLIMTCo8qzALT0sORZ5v/SGFSTE34HvhzQp4ji66tgtPtoQUcxRlUNpCfdWjGzBd7uucPrWw0o7Z/eG9oxs66EW2q2J+ORMtp5TrticuKkubJq7K4VNDz8H7J6g0nZqVq4qGup4pLoZqpe/0gwV4FoxM1RWbh7rwu7wU+h11UqQhaEOo9vV4ZVAN0z1NX+piy/+6kHMc/Uh5roAIWYK8dyLmagoGDQITpwgx9CQP5ev4tOTT3fNpiHNXZjV36/IQ3PbuRjG/36qhkalxMPaiFFtPfhkY+Ws0uSjoyXjq/7+9G7kiK52yc6ysUmZbD0Xw+bwGLVMwDIZNHe3pJe/A9197bE1qbiwuZmYxt+n7vL3yTvqZijrR9FQAU44mJXf1JWTp2DDqbssDL3GzcR0QBk6PqKNByPbuGNuqF5wSnzxVw9inqsPMdcFCDFTiOdezCgUEBQEBw+SY2jIllWreOvI0y1mQJmJeO24wCLbj1xPZOxvYaUm86tjbcSNhKqLiGrqas7JSlyhKUz3hvZ80c+3SGi3JmKSMtgSoTRFnSo0HrkMWnpYEfJI2JSlL00oFBJHIx+ZoSIqzwyVm6dgU3gMC/Ze41p8KqAMl38l0I1RbT1U4xVf/NWDmOfqQ8x1AULMFOK5FzMA06bBF1+QY2DAlj//xOqDmbzc77OaHlWlsHlSWxo6mqltOx+dxPClJ0hIzSrmKCVrxwUy6OcjZT7XK63cWHn0ZoXGmY9MBpV5x80Z6M+LTZ3LZNq5+zCDrRExbAqP4UyhUg5yGQR6WhHi50i3hnZYVVDYFGuG0tOmV6OKmaEUComt52L5Yc9VVbkJfR05w1q6Ma59HSwMtMQXfzUgHrDVh5jrAoSYKYQQMyiT59nYkJOXx5Y//6Tn0KF4v7m2pkdVaXSqZ8vrwV4EuFqott1MTOPVpce5mZiOsZ42AW4WGotT7noniH/P3C1zXaj3uvrQoa4tM/47r5ZFtzz09LMn9PI90h8lkasMPG2MmPtiozKHTt++n64yRZ29k6TariWX0drTihA/B7o1tMfCSLeEXornVmI6f5+6w1+PmaE8rJXRUP2aOJUr4kqhkNh9KZ4f9lwl/NF4dbXlDGrqhFdOJMP6iS/+qkQ8YKsPMdcFCDFTCCFmHjFpEjm//sqWVavoOWwYm+q04u2eb9f0qCqVNl5WvNGxoFrzvZQshi89zoWYZIz1tJnWqz4z/rtQRER83LM+9mb6vLvurFpl65K49L/unI9O5pudlzl0LbHcY3UyN6CJqzn7rtx7oiremhjS3IUXmznTxMWiTGUDbiWms+WRsIm4qy5s2nhZ08vPga4N7Yr4q5QFhULiWOR9/jp5hy0RMRrNUF0b2GOgWzYzlCRJ7Ltyjx/2XOPkI38gLZnEgABn3gj2qZTsyIKiiAds9SHmugAhZgohxMwjFApyevZky4QJ9Bw6FJ309Kc2K3BpNHOz4I1gL4J8bEjJymXsb2EcvXEfXS0584c0BmDCH0UdhVeNacnrf5ziwaNkbqXx8ytN6dbQnsPXE5i344rq4Voe6lgbkSdJxCRllllIlYcRrd3p6edAM7eyCZubiWlsjlAKm/PRBRmPteUy2npbE+LnQNcG9pgZlv9LNjUrl62PzFDHipihHB6ZoUqO2spHkiSOXE9k/u4rHIt8JGrkMvo0duT1jl54VkKRTkEB4gFbfYi5LkCImUIIMVNAzrlzbLl+nZ6zZqFz4wZ7rbx4rc/HNTae3o0c+e9s5WfULcyilwPoUNeWyavPsO18LDIZfNHXl4FNnan7ybYi7We80JAVh6O4kZCGXAZuVkZEluAobKCjxYEpHbEy0iX0yj3m7bjMubuVW/agMrAx0aOHrz09fB1o4WFZpppIN+6lsuWRj02+vwooI6vaedsQ4udAl4Z2xYZNl0S+GervU3e480DdDDUgwIl+Ac5lymick5PDD6u3cDrLjgOPVshkMujl78gbHb2oa29S7rEJiiIesNWHmOsChJgphBAzBahuksOH0Vm8GHJycH9jTY2O6f1udZm7/XKVn2doS1dychWsO3kHUBZ7fDPYi/Wn7vLuurNF2ge4mnPq1kO05DJ6+ztw6tZDbt1PL7b/9j42LHm1GTpaMrafj+Xr7Ze5Vk31o8qLtbEu3Rra09PPgZYelmiXoS7StXilsNkcHsPluAJho6slp72PNb38HelU3xaTcgqbfDPU36eUZqh8E6BMBm08C6KhijNDFf7iPx+bxoI919h1MU61v1tDO94M9sbXyUzj8YKyIR6w1YeY6wKEmCmEEDMFqG4SbW10xo4FS0uW+nTkc+9uNTqu1p5WHL5efr8TgBbulmp1hMrDq4FuTO/dkJv30+n4dWiJbUe0dgdg+eGoEtsF+djwzaBGGOnImLlyG/vuG3PrfobGtk7mBmrOsTWBhaGOStgEelqVqeDj1bgUNj9asckPmwalQ24HHxtC/B3oVN+u2JIMxZGWlcvWc7H8dfI2R28UfKbGetr08leaoZq6qZuhNH3xn49OYuHea2w9F6uKHAuuZ8sbjzmJC8qOeMBWH2KuCxBiphBCzBSgukl0ddEZPx7s7SEtDfdes2t6aE/Ehz3qEeBmwYuLyh5mnY+RrhbHPu5MSmYOgbP2lNg2xM+Bl1q4Mu2fcyWankCZdbeN8T3GDuzOv+FxfL/7KtFJmeUeX3ViZqBD1wZ29PR3oI2ndanJ+QCuxKWwKTyGTeHRapXM9bTldKxrS4i/A8H1bEstS/A4t+8XmKFuFxKD7laGymioR2aokr74r8alsGDvNf47G62qYdXWy5o3g71oWceqXON53hEP2OpDzHUBQswUQoiZAlQ3SYMG6AwaBCkpEBvLARtvXhn8RU0P74l5t4sP83ZeqfDxLzZ1VpmhiqOJqzkLhgaw4nAUi/ffKLXPOtaGjGpXh56+Dvxz5i4zNl0oNc+Mn5MZC4cGcOrWAyavOVOOd6DMlptcCdFRJvradGlgR4ifA229rUutZi1JEpfjUtgcrlyxKSz29HXkBNezJcTPkY71bDDULbuwUSgkjkcVREMVNkO19rSiXyMHpNtn6Nu7+C/+yIQ0ftx7jQ2n75L7SNW08LBkUrA3bbysnqgK+POCeMBWH2KuCxBiphBCzBSgukm6d0dnyhRYuxZiYgCe2cimfJwtDHiQlk1aJeR2cbE0YNmIFiRn5vDu2rOlrtKA0lTSP8CJAQHOHLyWUKqfkLmhDt8NbkyHurbkKST+OXOXd9YW9e0pjnbe1lyITiYxLbvMx+RjpKulNk8metp0qm9LDz8HgnxsSs3mK0kSF2NS2BwRzabwGFVZAlA6TAfXt6WXnwMd6tqWOSQblGaobedi+evkHY7cKDBL6mlJvNDYmUHNXWnmVnw01O376fy07zrrwm6Tk6f82mvias6bwV50rGsrRE0JiAds9SHmugAhZgohxEwBajfJtWvKmk3nlDWEVgT04rMu42t4hFVLiJ8DHevZsvLoTc4WyoBbUf4c04omrubM332Vn0Kvl/m4Fh6W9G3sVKbCmJM7ezMp2FsVVv0wPZv1p+7y+aYLZTrXSy1cufMgnQNXE8o8vnwaOZsRl5xFbHKBecxIV4vg+nb09LUvkxiRJInz0clsCo9hc0S0msnIUFeLTvWVqz8d6pYukgpz+34660/dZd3J22rRUO5WhgwIcKZ/0+KjoWKSMvh53w3+PH6LrEfh8L5OprzR0ZuuDezKFML+vCEesNWHmOsChJgphBAzBRS5SSZNgh9+ALkcZDLc3/unpodY5dSzN2HxK82IS8lk8f4b7LwQV/pBJTCyjQefhNQn4m4S41aeVHvwl4a1sS6GutolRkmB0sl58atNiyStuxCdzLqTt1l2KKrUc9WzN8HKWJfLsSkkpJZvtcbV0pBmbhYcvZGo5vdjoKNFcD1bevjZ07Fu6X4xkiQRcTdJZYoq7PxspKulNGv5O9LO27rMwiYrK5sFa7cSrefK1nNxRcxQ+dFQmkxb8SmZLDkQye9Hb6qOq2tnwuvBXoT4OZQpfP15QTxgqw8x1wUIMVMIIWYKKHKThIZC9+6Qmwt6euzwbMHYnu/V9DCrHFN9bX4YGkCQjw037qXy68FI/jh264n6DK5nSyNnc47eSFQzgeRjbaxXaq2o0vj3jTb4O5sX2Z6Vm8fui/FM23iuTGYlQ12tCpdSGNTMGS25jANXE9RWRPR15HTwUQqbskQySZLE2TtJbA6PZnN4jJpIMtF75K/jX7q/TuFrOlsh02iGMtbTJsTPgYHNnDWaoe6nZfPrwRusOHyT1EcFSuvYGPF6By/6NHYsU+j6s454wFYfYq4LEGKmEELMFFDkJsnNhWbN4Px55U9ZuRz3yX/X9DCrjUnBXrzdxQeZTEZiahYL9l4r0ypHRene0J7zMUlqphZrY91yrZQMaubMnIGNit0fm5TJzC0XKyUZoZWRbrHiKMDVnABXC3LyFIReuafmF6OrLae9tw0h/kphU1pSPYVC4sydh2wOV+axKby6ZaKvTdcG9vTyd6CNV9EIq+K++G/fT2fD6bv8dfKO2sqXW74ZKsAJZwv10gdJ6TksPxzF0kORJGUos0C7WhoysYMn/QOcyxTd9awiHrDVh5jrAoSYKYQQMwVovEk2bYKJEyEuDrKzuWTtRvdRC2t2oNXMnneDqPMo/f3D9Gwaf76zSs/Xv4kTmyNiyMpVqOof2Zrosf18bJnrNBUesyYkSWJt2G2m/F26X05pOJjpY2uqX6yfUU8/ezxtjMnIzmPPpXhuFHKI1tWS09bbmp5+DnSpb1dqGQSFQuL07QdsCo9hS0QMcckFq1mm+tp0a2hPyCNho6MlL/WLX5IkTkQ94K+Tt9kcHqPm2Jxvhuruq26GSsnMYeXRmyw5EMn9R2LO0Uyf8R08GdTMpVy+Pc8K4gFbfYi5LkCImUIIMVNAsTfJpk3w6adw+jTw7EU2uVsZEpVYsl8KwCut3BjdzgMncwM++Duc9afuVsPolJgb6vB2Zx/0tOVMXV82AdK/iRNf9PMtNdT5UmwyL/xwiOy8J6/9NLSlKxtO3VUVjCyMoa4WXRvY4WNvQkpmLrsuxHG1UFI97UfCraefPV0blF6RW6GQOHnrgXLFJiKGeykFwsbcUIduDezp1tCGh5eO07tX6V/86dkF0VCFkzQa6WoR4u/AwKYuNHcvMEOlZ+ey6tgtFu+/Qfyjc9ua6DG2fR2GtXQrVyTW0454wFYfYq4LEGKmEELMFFDiTbJwIbz7LhgYsMezOSM7v1Uzg6wiOtS1ITtXUeZMw/2aOHHgasIT+7lUhPe71cXBTL/ModjfDm5En0ZOpUbhRD/M4KMNEYRevldsG29bY2QyuBKXWmwbgF7+DigkiS0RsRr3mxno0L2hPfUcTHiQls2OC3Fq9Z205DJae1rRw9eBbg3tsDLWK/F8eQqJsKj7bAqPYeu5GDXTnJG2RK/GzvRu5EyrOmUrz3DngTIa6u9Td9RMZK6WBWYoF0ulGSozJ4+1YbdZFHpd5dtjZaTLqHYevBroXu5Mx08j4gFbfYi5LkCImUIIMVNAiTfJihVKc5OJCejr4z7k+TI1lZWOdW3YW4IYqAgGOloaVzpsTPTUViNKws3KkO8GN6ZJGdL1x6dksnjfDZYcjCy2Tf8mTjRxNWf/1YQSI7605TIGNXfhvzPRpGRpNpFZGenS08+Bho6mxKdkse1cLBdiCopxymXQqo4VPfyUwsbWRL/E8ecpJI5FJrL5kbC5n1ZQ5dzSSJfuvkofm5YeVqVGJEmSRNjNB/wVdodN4dFqZqjAOkozVA8/pRkqO1fB+lN3+DH0usoPx8xAh5FtPBjRxh0zg2f3wSMesNWHmOsChJgphBAzBZR4k1y7Bu3aKbMCm5jwMEei8ehfa2agtRxdbTnZuRUz2RQXSfR2Zx8ycvJYtK/s+Wo00bm+HV/09cXerGRBAPAgLZtlhyL5fs+1YtsEuJrz1QB/7qVksedSPL+WIICMdLUw0NUucTXL3lSfEH8H/J3NuPMgg23nYom4m6TaL5MpQ9F7+jnQ3dceO9OS30dGZhY/rN1OoqEbOy7E8SC9QNhYG+vSw9eBEH8HmruXXik8PTuX7ecLzFD534xGulr09FPWhmrhYfkoiWE0C/deU/kHmehp82prN0a1rYNlKeazpxHxgK0+xFwXIMRMIYSYKaDEm0ShgBEjYONGyMqCvLxalXfG3lS/XDlcaiuNnM3o5mvPxtN3NZpyXmjkiK2JHquO36pw+DTA+CBPJnf2LpOzanJmDr8djuK7XVdV6f41MWegPyF+DtxPy2bRvutPHM7uYmlAL39HGjmbczMxjS3nYtWcjGUyaOpqoRI2jhqS4BW+ppFrcfSGcsVm2/lYHhYSNjYmevT0tSfE35FmbhalmuTuPEhnw6m7/FWCGcrR3IDNETEs2HNV9Vka6mrx8iPfq9JWmJ4mxAO2+hBzXYAQM4UQYqaAUm+SixdhwgQ4cgSys0nSM6LR5DXVP9BaRP8AJ+48yOB4ZNHK3HraclUG2fIglykdaSd18qbFzN0a2+hqySvFYXfei43oH+BUplT9aVlKh9c52y+p0v1r4sWmzgxq7kIzNwvikrNoNUvzeygPdWyM6O3vSICbBVfjUth6LpaTNx+otWniak7II2GTH1Zd3DWdk6f0j9ocHs3283GqUGtQOvH29HOgl78DAa4lCxtJkjh58wF/nbzDpvAYVR4agFZ1LBnY1IXuvvYcvJrAD3uucj5aaT7T05bzUgtXxgd5lmmVrLYjHrDVh5jrAoSYKYQQMwWU6Sb55x94/XW4q4zkedYimyrKe119uBCTXMThtWsDO3ZUMIuwhaEO73WrS0JKNt/uqniBTBdLA7XcNZp4NdCNMe3q4GxhUKqwyXd4/WLTxRIFlYe1EQObOjMgwBljfW0W7LlWLjOZib42NiZ63HmQoWa2q2dvQu9GyhWUCzHJbI2I5cTN+2oFOhs5m9HDz4Eu9aw5dzS0xGs6O1fBoesJbA6PKRL+bm+qT08/pSmqiYt5icImIztPZYY6dD1BNR7DR2aoAQHOpGfn8sOea5x5tMKkqyVnYDNnJgR5qhyKn0bEA7b6EHNdgBAzhRBipoAy3SRRUTBgAJw6BcA63068H/J29Q2yBhkQ4MzV+BTC7yQV26aBg6ma82pl4OtkyvggT95YdbrIvjrWRmp5W4pjeu8GtPOxYdgvx0o1x4X4O9DMzYLm7pbUszcpNvonO1fBhtN3+PSf86WuQHWoa8OgZi609bZm4+m7fPrP+VLHXJhO9WxRSBIHryWorQo1cjajdyNHmrtbcvbOQ7ZExHA88j6FrWHORhKDA73p1dgZD2ujEs+TlZvHoWsJbAqPYef5ODWnZUezAmHT2MW8RNF392EGG07d4a+Td9TC/l0sDejfxBkHM33Wn76rWtHTlsvo18SJiR29Sh1jbUQ8YKsPMdcFCDFTCCFmCijTTaJQwLBhsHq1atPztDozsYMnhrpafL2j4islFcXD2khjBe7FrzTlcmwKW87FcrEEIdXSw5I/x7Ti8PVEJq0+rUr4VhJGuloEuFnQ9JG4aexiXqTGUm6egv/Co/lwfQSZOSWLGnNDHfo2dqJ/gBOXY1OYve1SuTIcm+pr07uRIzcT0zl8PUFNtDR3t6B3I0daeFgSFvWArediOHI9Ua1NfQdTevra08PPAS/b4pMKglLY7L+SwObwaHZeiFOLZHIyNyDE34EQP6WzcnHCpjQzlKulIdfiUzl16yGgNDH2buTIGx298LYzKfO81DTiAVt9iLkuQIiZQggxU0CZb5KzZ6F5c8hR+hls927FuP6fVNMoa57hgW40cbXgg7/Cyc5ToK8jRy6TqTnkasll5JXgLPs4rwa64WFtxIz/ylbt+nEmdvDk3a51ufMgnb9P3ikxAumf19tgY6LHhD9Olbs6uJZcRkNHU5W4aeZmge2jiCKFQmLb+VjeW3e2TM7JDR1NGRDgjJ6OnN+P3ipRiGnC39kMC0NdEtOyOHdXPZQ70NNK6WPjYsqv/+3nrtyWIzfuq30mPnbG9PRzoKefAz6lCIfMnDz2XbnH5vAYdl2MU3t/zhZKYdPLzxFfJ9NihU1JZih7M31ikzLVCmH28LXnjY7eNHCs/d9L4gFbfYi5LkCImUIIMVNAuW6Szp1hd4Fj5/O0OpNPIxdzlRgw1dfGRF9HVen5pRYutPGyZs+l+DJnCu5Uz5ZvhzSm38JDXL9XuulIE7veCVKtOBy6lsCwJceKbTuhgycnox5wPOp+kfejCbkMNOkzNytDlbhp7m5BHWtj9l6O563VZ9RWIopDV0tOlwZ22Jjoceb2Q5U/SXnwtjUmPTuPlMwckgv5vGjLZfiY5vFaJ39aedpw5EYiWyJiOPSYucrL1li1YlPP3qREE1JmTh6hl+PZFB7D7ovxajmA3KwMCXlkimrgULywiX6YoaoNpWm1rTCd69vxZrAXjVzMyzgb1Y94wFYfYq4LEGKmEELMFFCum+TKFfD1Va3ObKrXljf6TK2GUdZu6tgYceOREGnjZcUPLwVgZqDDsCVHOXqjaMSTJo5+2IlN4dF8sflihcfxRV9f2nlb42ppyI4LcUxefUZj4r3HcTI3YFqvBoz//aTG/f7OZtS3N0VHW8bJmw+5FJvM498QFoY6NHWzoKmbJdm5Cn4MvVbmqC57U32cLQyIS8ks1Wm5OGQyiowJlPl/Ota1eeQ8bMmhawlsiYjhwNUENUdmD2sjevrZ08NXmcivJGGTkZ3H3svxbA6PYfelODUzm4e1kUrYFCeQJEni1K1HZqizMcUmFgRo72PDpGAvmrlblnEmqg/xgK0+xFwXIMRMIYSYKaBcN4lCAS1bQliYatPzuDpTGk7mBvz8SlMaOpryY+h15m6/DChXcpJLKBqpryPnxaYu/H7spsYHc1lxNNMn0NOaADdzIu4ksfrE7TId1z/AiWEt3Rjw02GN++tYGzG0pSvdGtpz/V4qJ28+4ETUfc7cfljEb6YsSQTlMtDTVs90XNHQ9rJgqKtFp/p29PZ3IMDNgoNXlcIm9Mo9tbG6WhrSw8+eED8H/JyK940BZVK9PZeUwmbPpXi1sdexMaKXnwMh/o742Blr7CcjO48dF5RmqIPXEor93FvVsWRSsDeBnlZlCqmvDsQDtvoQc13AUyNmZs2axfr167l06RIGBga0bt2a2bNnU7duXVWbESNGsGLFCrXjWrZsydGjR8t0DiFmCij3TfL77/Daa5CrfCjv8whg+KDPq3iUtZNO9WzZfSm+2P0h/g58PbAR/5y5y0cbIlBI4GehoEUDD349dLPaxqktl2lMfNfO25oDVxOKbB8Q4IxcButO3tHYn76OnN7+jrwS6Ia/sznZuQouxCQTFnWfE1H3CYt6QGIZHI3zaepmgbZcxomo+xpNWlWBib42XRvY07uRA01cLNh39R5bI2LYezleTZg5mRsoV2z8lGHaJQmJtKxcdl+KZ3N4NHsvqwskL1tjQh7lsSnOyTffDPX3yTvFRqs1dbPgzWAvgnxsalzUiAds9SHmuoCnRsx0796dIUOG0Lx5c3Jzc/n444+JiIjgwoULGBkpwxdHjBhBXFwcy5YtUx2nq6uLpWXZlmKFmCmg3DdJbi60aKGqpg3P9+rM5M7enI9OLrFWUTtvawCVcGjmZk5jFwtVHaRGzmacLSH0u6Lo6yhXR0oSCG91UjqbjltZ1MRU2koSKE1QL7dyo7e/o6pitCRJRCakEXbzAWGPxE1ZQsmHB7phrK/N5vCYMlU0Lwtlccq2MNShu68DvRspV2L2X0lgy7kY9jzmG+Nopk93Xwd6+tmXmlgvJTOH3ReVPjb7r9xTM2n52BkT4udIiL/m6CqlGerhIzOU5vpWnjZGTO1Rn871bWtM1IgHbPUh5rqAp0bMPM69e/ewtbVl3759tG/fHlCKmYcPH7Jx48YK9SnETAEVukn+/RdefBGylb++L9q402PkgiocZe3GzcoQf2dzNodHl2tl4ZVWbqw8qlyhmdDBk6txKey6WPxKT0UY3daDZu6WhEXd5/D1xGLz4fRt7IiJvo5qPOXFVF+bF5u5MKylK3Vsij6gE1KzOPlI3Kw+frtEPxFdbTnDA92ITspk76X4EqOkLI10yclVFNufjYkePnbGWBnpcTzyfqn5dmxM9AjxUwqb+g6m7L9yjy0Rsey+qB6mbWeqRw9fB3r42tOslBpPyZk57LoQx+bwGPZfvafmhFzP3kTlY6Np3jJzCqKhNK2iASwY2oSevg6llmOobMQDtvoQc13AUytmrl27hre3NxEREfj6+gJKMbNx40Z0dXUxNzcnKCiImTNnYmtrq7GPrKwssrIKCt0lJyfj4uJCQkKCEDM5OezcuZMuXbqU7yYZNgw2FazIeE9aVwWje7qwNdEj/lFF63p2xgxu7syMTZfKfPzYdu6YG+owZ/vVSh1XXTtjZvf3paGjKQ/Sszke+YA3Vp8t8/GF31dZaO1pydDmLnSqZ1Ns8r2M7Dw2RcTy0caSE+nZGOuSkaMoMULKzkQPNytDsvMUnLmteYXLRF+bQU2daOFhydW4VPZfTeDkrYclrtooE+bZE+Jrj5etEQevJbLtfBy7L91TG4+NsS5dG9jRvaEdzdzMi33PAMkZOey6FM+Wc3EcupaoZv6rb29CT187evja42ZVNDNwTFIm/5yJZsmhKJIyis7HW8GejG/vUeL5K5MKf3cIyo2Y6wKSk5OxtrZ+usSMJEn06dOHBw8ecODAAdX2NWvWYGxsjJubG5GRkUybNo3c3FxOnjyJnp5ekX6mT5/OjBkzimxftWoVhoZPbzrx2kRaDnwUpl16w1qGoZZEel7V/KI105Ho665g62058ZnKc/iYKcjOkxGVWvw5uzvnsfuunBxJ2cbOQCIu48nH2NVJQTdnBdqPnnXRaTA7vGyfmbORhAxIzoaknLKNxUxXorWtgkA7CbMSikbfz4Kvw7VIy32y96gjl2huoxznmURZsf01tlQQ5KDAwRAuJ8m4+FDGhQcykkt4Xxa6yr6bWCuw1VcedyZRRsR9GRmFrh9jbQl/S4nGVhJeZhJaJbyltByIeKDs53KSDIVU0NjZSKKJlYLGVhLWj5VxkiS4mQp7Y+ScSSwqXDxMJMbUzcPo+X7mCZ5R0tPTGTp06NMlZl5//XU2b97MwYMHcXZ2LrZdTEwMbm5urF69mv79+xfZL1ZmiqfCil+hgC5d1CKbntbVGQMdORmlZLGtKEa6Wszq15D/wmPZ+ciENLipI+ODPOn4zYFSjlZiZqDNxz3qMWPzRdKyKl41G8Db1ojZ/X3xczIDlCsFTb/cW+bjdbXlGOpo8bBQkcbS0JLL6FLflqEtnGnlYVmsj0dsciZ9fzxaLufh4ujqpKB14/rsuHSPw9c1h8f7OZkyPNCNHg3t0NGScSk2lX1X7rHvagJhNx8W27eRnhZj2noQ4meHo5kBRyPvs/VcHLsuxqvNi4WhDp3r29KjoR2t6liiU8KKyYP0bHZdVK7YPJ7oz8/JlB6+dvRoaI+zhXqV8MycPDaciebTfzWH9C95pQntvKyrxAQlVguqDzHXBTx1KzNvvvkmGzduZP/+/Xh4eJTa3tvbm9GjRzNlypRS2wqfmQKeyBa7Ywf07q3yncmWa+Pz/sbKH+QzwCch9UnNzGH+7qtIyGjqZsGcgf58suEcR24klqmPjnVt6FjPttw1jjQxoYMnb3XyRl9HizyFxKgVJwi9fE+tjYGOFnXtTSqU0K44PG2MlOHfTZ0xM9B8vcUnZ9Lz+4MkpBZv2vK0MeLOg4xSw7jbeVvzdhcfdl2IY23YHY19WhjqMKqtB0NbumFppFxCSsrI4eDVBPZejmdrRIyav8zjvNfVh75NnLAz1efojUS2RMSy/XysWukIMwMdujSwI8TPgTZe1uhqFy9s7qdls/18LJvDY4qUb2jkYk4vPwd6+jvgZK4ubK7fS2XgT4d5kF5UaI5p58HLrdxws6q8GlDCj6P6EHNdwFPjMyNJEm+++SYbNmwgNDQUb2/vUo9JTEzEycmJxYsX8+qrr5baXoiZAp7oJlEolFmB9xb8sn+eI5vKgouRxO005a9kGxM95g9pzMojN9l6LhaZDBo5m6uJByNdrSIPUmM97VKz7Ib4O9DI2Ywvt5Tss/NeVx/GtK+DnrYWvx+9yScbzxVpY2WkS3JmjprjanA9W87cflimWk+a0NeR06eRE68EuuH7aJXocRJSs+gx/wD3ivHXebmVK229rLl9P4MTUfdLrVQ+oYMnVka6HLiawL4r9zS2GdLchdfaeFDXviB8WqGQuBCTTOjleP49G82VuNRizzGufR1GtfXA0kiX45H32XIuhm3n4tRElIm+Nl3q29HDz4F23tbo62gV219CahbbzimFzbFI9ZpTTVzNCXlUmsGxkLDJyM5jyt/h/Hs2ukh/DR1NGR7oTk9/B4z1nswsLB6w1YeY6wKeGjEzceJEVq1axT///KOWW8bMzAwDAwNSU1OZPn06AwYMwMHBgaioKD766CNu3brFxYsXMTEpvVCbEDMFPPFNsmMH9OkDmQVRIkLQlI8BAc7oasv487gyuZ27lSG37qejkJT7Xg10o8/CQxXqe9/7HVhx+CZLD0WW2K6tlzXdfe2xMdHTGKb9OA0cTPnp5QDSs/M4cj2Rw9cTORaZSEopodyaaORiziut3Ojl76DxwZ74SNQU54T8citXJnTwwtFMn8iENPZfjuPLLRfJVhRvWmnsYk5kQhpJxZjLmrtbMKGDJx18bIuYaB6mZ7P/agIbTt1h72XNogjghUaOfBJSHytjPU5E3WdrRAxbz8WqvQ9jPW061belh68DHeralChs4lMy2X4ulk3hMRyPuq+WYK+pm4VK2NibKZ1ssnLz+OPoLT7fpLn2V78mTgxs6kxgHasKmaHEA7b6EHNdwFMjZoqzpy9btowRI0aQkZFB3759OX36NA8fPsTBwYGOHTvyv//9DxcXlzKdQ4iZAp74JlEooEcPpah5hBAzSl5o5Kjx13FZMDfUISkjB0mCPo0dmfdiI5YdimLmlvKXO9DVljN3oD9vrT5TpvbWxrplqmptqq/Nd0MaE1zPDoA8hcT56CQOXE1QZT0uD2YGOgxq5sywlm64Wxc1h5QmaoY0d2FiBy8cTHVU1/SluHR6LzhY7rEU5vM+DRkQ4FykcjgoV23ORSexNuw2vx+9VWwfzd0t+LKfH542xpy89YAtETFsjYhVCxU31NUiuJ4tPf2UwsZQt/iVk/jkTLY+WrE5cVNd2DR3LxA2tqb65OQp2HD6Lp/9c15jeQsncwP6BzgxIMBZ47wXh3jAVh9irgt4asRMdSDETAGVcpNEREDr1pBasPwuBI2SsE86c+t+Ov1/1FwioKyE+Dvw3eDG7LkUr6q55GljxMQOXry7rmxh1n5OZlyKTVYzF1UGk4K9eKuzT5FcK4mpWYz+LYzTtx6Wu8+2Xta8GuhGcD3bIqHGCalZhHx/gLhkzaKmfxNH6ku3GDGg4JqWJImf99/gq61lD5V/nFdauTEuqA7OFsVHQN5Py2b1iVvM2Va8mHO2MOB/fX1p62VNxN0ktoQrV2zyC5aC0l+pYz0bevg6EFzPVqOQyic2KZOt52LYHB5D2M0Hqu0yGbRwt6SXvwPdfO2xNNRlc0QMP+y5xrV4zaay5u4WDGzqTE8/B0z0S/4+EA/Y6kPMdQFCzBRCiJkCKu0mmT4dCoW/+721mhT9oknAnke+G9yYPo0duZ2YSvuv9z9RX3MG+GNppMuHGyK4l5KFjYkevw5vxvV7qby9puy5Yyqbdt7WzB/SROVAW5jr91KZufkie0oo/VASkzp583IrV2xN1GOU76Vk0fuHg8UmwnvB34FJnb3xslU3PZ+Ius+Li45UaCz5rBsfSDM3ixKz7+YpJP47G817685qLCcBykiv6S80pFsDO2KSMtlyLoYtETFqBTf1tOUE+dgQ4q8UNiWJjJikDLZExLI5PJpThUSkXAYtPawI8Xega0M7wqIe8MOea1wsJomivo6cHr4ODAhwprWnZjOUeMBWH2KuCxBiphBCzBRQaTeJQgHW1vCg4JehWJ0poK2XNV/2bcDpQ3t4YOXL9HIk09OEgY56gcZFLzfFwlCHsStPkpSRg5WRLiPbenArMZ01YWUrNPmkmOhr8/uoljRyMde4f9+Ve/xv04ViVwXKwoqRLWjvba0mIuL/3959hzddbw8cfydNmu6996KMtuy9UUBANk7cE5UfDq7jer3Xi+t60evGgRMXTlRkqaAMFZC9N6XQ0r33zu+P0LQhbenMt2nP63l4NJ+MnqZNcvoZ5+SXMuPNP0nJqz+pubK3Pwsui6KHn+lrPT6jkEe/PWAym3Gxhvpa1QjzdOC/c3rTP8S90RNKANtOZ/HIt/tJymm4M/i8MRFM6OmL1kbNz4dTWXvQtLWDrY2a0dFeTI71Z3wv3wZPhAGczy1h3cEUVh9IMdlUrlbBsEhPpsT5o1Wr+fyvs4220whwtWN2/yDmDAgivM4ylHzAWo4817UkmalDkplabfoiefxx+O9/jRf/MXE+y/tNbmWEnc/03v54Ouv46M+ENn/sf17Zk3c2x5NZWIaLnYZ3bhrA0HBPVh9M4f4v9l76AdrAlXH+vHxtH3Qa882sFVXVfL79LK9sONng5tum9qrasHCMSW+jlLwSZr+1tcGk5ooYXxZc1s3s9NT53BLe3nSq3j0vGrWKEVFeRHg7svtsDgcaiaubjxMTevkyKMyD/qHuDSYaer2eA0l5PLfmKDsS6q+BAzAlzo/Levji62JoxbDmYArxGbU9rrQ2KkZGeTE5zp+JvXxxc2i4MmFidrFxKaruc2ujVjEswhMXew3HUws4Xefx6zMw1LAMdWVvf+xskA9YC5FkppYkM3VIMlOrTV8kpaXg4gIVtR9SXWl2xsvJlm4+zk2uG2Mpz82K5YYhoej1ev5v+V7WHExps8cO9rA3WRKpa1Q3wwmpsd19zGqi5BaX8+qGk3y6/Wy9LQUu7+HD7SPDyS2u4I3fTnIstaDROJbM7cdlPXxwsNVwJj2fWUu2kFte/xLQ+J4+LLism9kMUkZBGR/8cYZ3Np+u934BrnbMGRDEyCgvXlp/gh1nGk5EVCro7uvMgFB3BoV5MDDMnUA3e7NlqepqPXsTc1m2NYFVjWwWjw104bLuPgS42XM+t4SfD6eaHBHXqFUMj/JiSqwfE2P86l3uq3Euq5g1B1NYczCZQ+drl5ls1CpsVCqTpphg2EDu66LjfE6J8Wi4nVbNxJ6+BFUkcf91k7DTNVLiWbSaJDO1JJmpQ5KZWm3+IlmwAJbUNp084RXCxDveav3jWsjCCdHsOZdjVkCuqUZ18+LeMZHMff+vJt0+wNWO5AZmEtrawxOjGR7lhY1K1eKj3vWZHOvHU9NjuOvT3exvoMBeNx8nxnb3Zmx3HwaFeRiXZE6mFfDMmqNsaaDuy5Vx/jw0wbDvJT2/lJd+OXHJZbPrBwXhWXSWSeNGMu/zfSYba+saE+3N/ZdHMSDUw2Q8r7iCj7cl8OGfZ8itpwAdwJBwD64eGIyznaZJR9kB/F3tTJKbHn4uJpumq6r17DiTzQ97zzf6Pbo5aBkT7U2Quz1FZVVsj88ySfZqZlsmx/lxRYwfXk7mLV5qJGQWGRKbAykNNiEFQ3I2MNSdIHcHDp7PM1kq9He1Y049y1Ci7UgyU0uSmTokmanV5i+S6mro0wcO1RZf60qzM2Com/LatX0Z+79NTbr9P6/siVqlarAeSFtz0mkYGObe4oStITufGI9er2f6kj8b7U7taGvD8CgvY3IT4GrHxuPpPLv6KPGZ5sscahXM7BvIg+OjCbnQgFGv1/PfdcdYuiW+0ZgivB2JCXBtdNZjRJQnCy7rxtAIT5PxorJKvthxjne3xDd4HNxJp2Fqb3/G9/RlxZ4k1h1KbTSei+/bL8TNmNz0DXYzHseuqKpm6+ksVu1P5tvdSQ0+hkoFvYPcCPN0oKS8isScEpNNvTUbf6dcSGx8XOwafKz4jELWXthj09hM2MRevoyO9uZoch7f7T5n0ptqQJ1lKJdLnIYSTSfJTC1JZuqQZKZWu7xINmyA226DrCwoL6dcr+qSbQ5m9g3gh31NrzPzyBXd+fCPM23Sm0gpc/oH8dSMGDYfz2D+8j0m1wW62VNWWW3WUqCbjxPjevgwIsqLI8n5vLXpVL3F9zRqFVcPDOb+y6Pwd61dtkovKOX5tcf4fu/5VsU+ONyDBy7vxvBIT5PloNKKKlbsSeKdzacbXFIDQ4uFqwYEY6OmwcrL3Xyc8HO1Y++5XLMqzhq1ipgAFwaGeTAozJ0BoR54O+soq6xiy4lMVu1P5qfDqZQ30sLB09GWUE+HC53GK0ziValgUKgHU+L8mBRbW1yvPqfSDYnNmgMpHE+rP7EZGOrGUMcsouP68f2+FDafyDAuQ+k0aibF+nHVgCCGR3qZHdsXzSPJTC1JZuqQZKZWu7xIqqth4UJYswbS0qCoiLBHfmybxxb1stfa8NysWHKLK9hxJpufDjd9hqA9zBsTwdzBIYx/ebNJXZvhkZ7cNiKc46n5bDyewd5zOSYl+h1tbejp78Kei8brstWouXFIKPeOjcTbuXYJpapaz2/H0nl+7RHiM4vrv3MTDAh1Z8FlUYyJ9jZJaiqrqll1IJk3N55u9ESWjVrF2GhvRnbz4sM/z9SbAE2K8ePmYaGcyihkZ0IOuxKy6924HObpYExuBoZ54O9qx8ZjGazan8xvx9MbTWzUKvB00lFaUUVJeZXZqawBoe5MifNncqyfSTuEi51MK2DNhRmbhr7vD28dSGyAK9/vPc+3u5M4edEyVE1RvghvKdfQEpLM1JJkpg5JZmq124vk6FF48kn49VcoKKBSbUPUQyva7vGFmbhAVz69YzBuDrYUlVWy4Iu9xtouthp1ox987WVQmDtRPk7GVg01HrmiO3eOCqekvIrfT2ay6XgGm09kNNpc8mL2WhtuHRHGvNERJid5Kioq+OS7taQ4RvH+Hwktjr13kCv3X9aNy3v6mCQ11dV6fjmSypsbT3PwvOnJIA9HW5NeUh6OtszoG0BSTgnrG+gd9ekdgxkZ5UVyXim7ErLZmZDNroQcjqcVcPE7sYej7YV9N4Y9N6l5pfx0OJUtJzIaPUJ+KX2D3ZgS58fkWH+CPRouCngirYDVB1J4c+OpejduXzswmCen9eJUeiHf7k7ix/3JJqfWZBmqZSSZqSXJTB2SzNRq1xfJhg1w111w9izo9V1u70xbcnPQUlFZ3Wj3ZjD0TPrsziF4ONpSVa3nmdVHWLY1ATB80Dw4oRtTX/+jQyxlhXk68O9pMYzr4QMYkoTDyYaGjptOmM/aNMRZp+HOURHcPjIMZzutye90FWrWHkzh0+1nW1SJuMbjk3tw16gIk+Jxer2eLSczefO3U8Yj1moVxAa64u2k48D5PJPEpneQKxFejg0uPd4zJpK7RoXjeWHDbl5JBXvO5VxIcHLYn5hr1iVcp1HTJ9iNbj5OZBeVcz63hEPn85r0vDWkd5Ark2P9mRLn12CXbb1ez6GkHBZ99Se7M83r6+g0al66pg8jo7z481QWK/Yksel4usky1BUxhmWoEVGyDHUpkszUkmSmDklmarXri6S6GubNg2XLoLISPRDehROaW4eFcPhkAjvrefNvSz38nPnsziHGUyzL/jzD06uPUK03LPO8cm1fnlx5iJ8PG2YKxnb3pnegK1tOZnIgKbdVH4QtcXkPH56c1svsgzO3uJzfT2ay8Xg6G46kkX+JJpbuDlruGRPJ9QMD2bjhZ7Pf6UPn8/j8r7P8sDe53h5FTWGnVfP0DEMrgrpLMzvOZPPmxlMm3bjH9/QhNtCVYykF/HoszbjcZqtRMzjMgz3nciiuJzmN9nXiyakxZpV3yyurOZScZ0xudiVkk3PRaSuVyrBvpim9tZoiJsDFuBR18RJRzXvH5MmT+f10Dnd8vKvex5gS58e03gHEBLjy0+EUvtllugzl53JhGWpAEJGyDFUvSWZqSTJThyQztdr9RXJR3yaZnbGMbj5OfH7XEGMLgN+OpbFg+V6KyquI8nHig1sG8tn2s7z3u6Gb9lUDgvjPrDiKyyv581QWW05ksPZQSou6YLfG3aMjiPZ1JtjdnmAPB3xd7LBRq4yzNiv2JBlnmhozJ6yKp265Aid782PJ+aUVfLc7iU+3n71kkbjGBLnbM6qbF0MjPBkW6YmPsx2Hzufx5sZT/HQ41bhENKqbF3MHh5CcV8o3uxJNTgp5O+uortY3OFP2yBXduXpgkFkrBzDMjsRnFpkkN3WrBbe1Hn7OTIkzzNhE+TjX+96RXlDKQ1/t489T5rWWdBo1E2P8uDLODw9HHasPJLNyn+kyVP8QN64aEMyVvf0brW7c1UgyU0uSmTokmallkRfJ7Nnw/ffGi5LQNO7KOP82K2w3NMKDIeGehHs5UlJRxTOrj1BcXoWnoy3v3jyQIyn5/HvlIar1MCzCk3duHICrQ21zxtMZhdzy4c4Ga7W0N62NikA3Q2IT5O5AsIc9we4OJOYUN9rMscbMvgE8P7s39rbm1Yj1ej3b47P5bPtZfj6c2qo9JwBRPk4Mj/RkWIQnXs46vthxjpX7ko17SwaGujN/XBSeTrZ8uzuJH/aeN5ltaqx1wqhuXtwxMpxR3bwbXZLJKChj99kLyc3ZHA6fz2vS9+Ws0+Bkp0GtUjXpZ93Nx4lJMT44ZJ/gjjmTsbU1LZqXXVTOh3+cYcnGU/Xe39HWhgm9fJnQy4/yqipW7Techqp5rmqWoWqKFHb1ZShJZmpJMlOHJDO1LPIiOXECevY0LDsBd87+Jxu6DW2fryWapYefMzEBrqzYY6hlEuntyLLbBpttAs0qLGPAsxuUCLHNPDszlst6+NR7cic9v5QvdybyxY5zJqeK1CpatOymUkEPPxeC3e05eD7P5DFjAlyYPy6Kcd19WH80jW92JfLHqUyzzb4NPe5D46O5ZmBwo0eraxSXV7IvMZddCTnsTMiu90j4xUI8HAjzckSv17MzIZvSisY3jkd4OTAlLoApcf709Hc22SydV1LBx1sT+OCPMw22r3DWaZjQy5fB4R5kFZWzct95k+rGfi52zLpwGqpu+4quRJKZWpLM1CHJTC2LvEiqqyEqCs6cMQ7J7AzM6hfImcwikyaA7cnLSdfk00LdfJyY2S+QcC9HwjwdCfNywMFWw4s/H+PNjfWX+7eEIHd7vJ11JOeWkJbf9JNPFxvf05cbhoYwItLLpEFkZVU1vx5L57PtZ/n9ZKZx3NtZZ7KZtzGhng6cbcJyT4S3I/eNjWJG3wDSC8r4bncS3+xO4lx205aKLu/hw/WDQxjb3RuNTdP2YVVV6zmWmm9MbnYl5DRa4BBgXHdvgtwd+PNUZr1FDesK83Rgcpw/V8b5ExPgYkxsCssq+XTbWd7/Pb7RzefOdobEJszTkZS8UtYdSjGpwtwvxI2rBgQxtXdAl1qGkmSmliQzdUgyU8tiL5KPPoLbbzde/KHXWB6c9nD7fT0rMq67NxvbuBpvQ2xt1MzoG4CHky1LNzdePfdivi46wjwdsdWoTT7oazxyRXe+2pnY5A/jlnK1N5TzHxnlRaSPEwWlFSTmlLDnbE6rCuddNSCIwWEeBF1YyiqrrOarnef4eldSg7MKDfF0tOWu0RGczSpm2+nMS+5l+eeVPblxaCi2Nmp2JGTz9a5E1h1MbdJGZS8nW+YODuGaQcEEuTd8rLo+er2e87kl7ErIYUdCNsv/Mm+2WVfkhYrK2UXl7EzINjtdVVewhz1TYv2ZHOdPnyBXVCoVxeWVLP+r/qrKznYakz1aLnYaxvXwwV5rQ3JeKX+eyjQuQ9nWOQ3VFZahJJmpJclMHZLM1LLYi6SyEqKjZXamA7n4w6O7rzMPTYjmns9Mew25OWgb7FFUn2sGBvH1roZL8LcltcpQu2RcDx8u7+FLtK8Te89m8bfPt3OmoPYDLsrHqdFCdw0J9rA3HLNOatrek/o8NqkHQyI8OJNRxLb4LLadzmpwX4qzTsOSG/ozLMKTssoq1hxI4etdiexp4rHysd29uW5QCJf39EHbxNmai+UVV7DrbDZLN8c32tUbIMhRj43OkYKySrIbmXFxd9Ayp38Qk+P86RfsRnlVNd/sSuTtTaeNvcncHLT0DXbDw9GW309mmsyEuTlo6R/iTkVVNedzS0y6h/u66JjdP6hTL0NJMlOrXZKZpKQkgoKC2iRAS5JkppZFXySrV8M110CJ4Y08y96FAfcvb9+vKZptWp8AjqbkGz/85w4JYeGEaBKzi0nIKuJMZjEJmUUkZBVxICnvEo/WPgJc7dDYqM1mgQLd7Bkb7YVjfgIRPXvz+m+1H5aDwgwbcP88lckn2842OqvQHqJ9nbhqQBCTY/3R62HracOx85oj8hfrE+TK5Dh/hkV4Ym9rw4o9SXy353yTlru8nXVcPSCI6waFGPtZtVRJeRXv/R7Py+tPNHo7O636kvtratw6PIwre/sTF+jKyn3neXPjaePP0tVeyy3Dw4gJcOGPk5msO5RictTc3UFLkLsDJRVVpOWXmiTkfYMNy1DTegcYN7J3BpLM1GqXZMbNzY033niDm266qU2CtBRJZmpZ/EVy773wzjvGizI7Yz3+eGyc2TKGXq8nu6ic8S9vNqt5Ygl+LnZUVldTWlFNcXmlyWZdO62aAaHunEovNO6vUangqv5B3DI8jC93nuOrnYnG+i8DQt0ZHO5BWl4pG4+nt+v3E+HtyKy+gUyO8yPS24njaQU8tuJgg13Hne00DAn3YHC4BxVVevYn5vLbsfQmzRaNjPLi+sEhTOjla7I/qCXKK6v5/WQGr/16ss0S2asHBDGzXyDJuSW8vfm0cdbFSafh5mGh3DYinJPpBaw5kMJPh1JN9tw46zTYatSUVlSZFJS01aiZ2MuXqwYEXfIEmDWQZKZWuyQzb731Fn//+9+ZMGEC7777Lp6enpe+UwcgyUwti79ISkshIABycgC6fCE9a+Nip2Fmv0AGhRk+WH3rdGHen5jLjDf/NLn9VQOCGBPtzYIv9lo61EbZa21YcHkUE3v5sXTzaVbsSTImQlf29ueh8d0oLq9i0/EMNh5PZ19irslpI1uNmggvRyK9nUjLL2XX2ZxWx3TT0FDG9/Ll0Pk8Xvy58WPn7g5auvk6k55fSlJOSZOSGk9HW64aEMS1g4LbpEdSQXEpr3z5CynaANY1MLvUXEMjPAj3cmJnQrZxZtBea8ONQ0O4a3QEHg62/HUmm9UHUvjpUEqTEk5fFx2z+gVx1YBAonyc2yROS5Nkpla77Zk5c+YMd9xxB0eOHOHdd99l+vTprQ62vUkyU0uRF8mTT8JzzxmPasvsjPUK9XRg8IXEZnC4B8HuDgx5/lezpZBTz03mvd/P8NIvx6ms1hPoZs+jk7qzbGtCq9oMtIUX5vRmQJg7r244yar9hlYDahXM6hfEA5d3I8TTgZyicraczGDzhR5SF5/I6eHnTE9/Q6+kE2kFHaJdRGOGRnhw/eAQrojxw05rXoOnKeq+d5RXq9hwNI1V+1PYciKD8qq2X8Kz1ai5flAw88ZEEuBmT0VVNdvjswwzNodTm7Svy1qXoSSZqdXuG4CXLFnCQw89RM+ePdFoNCbX7dmzp7kP164kmaml2Itk4EDYXbvRVBIaZd04NITPtjd+kqUpfF10DArzoLCskk0XndD6et4wbDVq7v9iL+eyi7FRq3jg8m5MifNj/MtbzB4rzNOhXSvaXmxm3wAu7+nLyn3JbDhqmGnQqFVcOyiYBZd1M9Z1qa7Wc/B8HpuOZ7DphPmsTXP2jijN7cLG3OsHBzd71qKh9468kgp+OZzKqgMpJieQ6mpp/R4wFFK8akAw942NNNZDqqiqZuvpLNYcSOanQ6mXbH1hq1EzoWYZKsqryUfblSLJTK12TWbOnj3LrbfeypEjR7j77rvNkpl///vfzY+4HUkyU0uxF8mXX8L11xsvro8azF1znrTc1xeKiPZ1YsW9w3ly5WHjMeoh4R68fG1fXttwwuwUlKejLW/M7cem4xm8u6V5R8lbytHWhmg/Z5MZI1uNmpuGhnLv2Ehjz6saNbM2m45nsKWeWZvm8He1I9jd4ZKniNrDoDB3rhsUwpW9/Zs0W9OU946swjJ+OpzKqv3J/HUm25j0qVSGmkH+LvZ4OdtyOr2I42kF9T5GY64aEMR9YyNNls3KK6v581Qmqw+k8MuR1Eu25PBx1jGrfyBX9Q+im2/HXIaSZKZWuyUz7733Hn/7298YP348S5cuxdvbu9XBtjdJZmop9iIpLwcPDyiqPWIpszMdm4udhv/O6c39X+xtden/6X0CsNOqWbHnPFXVelzttSye0xs/VztmXrTvBuD/xkVxy/AwXl5/gi92tH4GqaUcbG24bUQYd4+KrHeZ4lKzNk117cBgYoNc2Z+Yy/ojaU2uc+PjrDOr39Jcdlo11w4M5vohIfTwa/j9sbnvHWn5paw9mMKq/ckmR81t1CpGRHkxupsX3s46jqcWsCshh31JuZQ38cRZL38XXr2uL9EXJSNllVX8cTKTNQdSWH8kjYJLVD/uc2EZanoHW4aSZKZWuyQzkyZNYseOHbz66qvcfPPNbRKoJUgyU0vRF8mDD8Jrrxkvpju6Mfj/PrNsDKJFHG1tjKdHnO003DMmkpNpBRxIyrtkldjGTO8TwHOzYolb9IvZdV5Otjw13dCxut8zv7R4mSLcyxEfZx1/nWnd7Mddo8J5YHw0TjpNg7fJLirn9wuzNptPZDRai6U+1w8O5u7RkSTlFLPuUCq/HE5ttCN27yBX7hgZTkyAC4k5JSRlF3MkpYAVe5KanBhczM/FjnvHRhoagHrY4+9qj41a1ar3jqScYtYcSGHVgWQOnc83jtvaqBnT3Zupvf0ZE+3N6YzCC9WKc/jtWFqTfuYPjY/mnrER6DSms0ulFVX8fjKTNQeSWX8kzeT008VsbdRMiPHlqv5BjOqm/DKUJDO12iWZmTBhAh999JHV1ZqRZKaWoi+Sykrw94fM2mqyMjtjvbycdMzsG4CPi46isioKyyo5l13MvsTcJrcCqDEswpOc4nKTDtM1hkd6smh6DJuOp/OftcdaHK+fix1T4vwZHO6Bva0NK/ee57sWVhAe292bQWEextYPYZ6OOF6U5NTM2mw8ns6m4xnNamMxp38QCy6LItjDgd1nc1h3KIWfD6Uaa+hczNdFx98n92Ba7wCzD+JzWcV8uzuR13+rvwnkpWjUKgLc7Alys0NfmMmw3tGEejkZG4F6O+lM+jNdypnMIlbvT2bVgWSTnkx2WjWX9/RlWm9/xnb3QadRczrD0CX8rzPZTar2PLtfIA9NiDbrNVZaUcXmExmsOZDChqNpFDeS2Hg765jdL5CrBii3DCXJTC2pAFyHJDO1FH+RrFwJc+ZAleHNpBoVEY+tsnwcwiKcdJpLNjpsCpUKbh8RztAITx7/7kCjsxVNYatRMzjMg9HRXozq5o1Oo+amD3a0qlu4j7OOMC9Hwj0dCfc29LgK93Ik1NMBO62Ncdbmt2PprNyX3KTHnN4ngPsv70aUjxN6vZ79SXmsO2Sov9JQP6i/TYjm7jHmMxU1UvJK+O+6Y02O4VLstGpDYuNu6HYefCHJMSQ7Do32VDqeWsDqA8ms2p9ssvnbSadhYi9fpvbxZ2SUt7FeTnpBKTvP5PDKhhNNqvB8/+XduHNUOC52tTGUVlSx6Xg6qw+k8OvR9EZbSPQJcjWchuoTgJuDbYO3a2uKv093IJLM1CHJTK0O8SK5/3544w3jxVHz3ifRzU+ZWITVeeSK7vx6NM24D8PZToOtvoKsspYXSvN21jGqmxcRXo5sOZnJjlYuSV0swNWOMC9HY7IT4ulAYWklr/16skm9rSbH+vHg+Gi6+xlmCvR6PcdSC1h3KJVvdiWadOmuEexhz8e3DW60xkxmYRlPfH+wwarE9QnxsMfPxZ7EnGJS80svuUfIxU5jkuQEezgQ5G7ohxXk7oC9rQ16vZ7Dyfms2p/M6gMpJkmlq72WybF+TO0dwNAID5OZp6KyShb9eJhvdl+6nYaTTsPDE6OZ1icAzwubukvKq9h4PJ01B1L49Vhag6fSbG3qnIaywDJUh3if7iAkmalDkplaHeJFUl0NI0bA9u3GIVluah+2GnWL905Yk24u1dx2WSw/Hkhle3z7nAwa290bWxtD082mNIRsCrUKAtzsScpp2oyQk07D8ruG0DvIzWT8dEYhP+w9zxsNLCXNHxfJtQMbbnWg1+vZFp/F3Pf+anLsgW72PDszlmAPB5JzS0jMKSYx2/DfpOxiknJKmnTSy8tJZ0hy6szoZBaUsS8xl72JuSb7jrycbJkS58/U3gEMDHVHXafS77msYu79fDeHk/Pr+zJmQjwcuGdM5IXCfY4Ul1fx2zFDYrPxeHqD7S9qlqHmDAgy24DcVjrE+3QHIclMHZLM1OowL5KDB2HUKMgzlEg/7+zNiPs+Ui4e0Sk8NqkHg8M9+Gz72Ub3WLg5aCkorTSpieLhaIu7g5bTGQ1vaA71dOC9mwdSVlHNr8fSeHXDyUvGZKtRMyzCk3AvRxx1NiRkXeh1lVnU6KbUS7lxaAj/N662Hk6N+IxC5n26m5P1LMP4uui4cUgok+P8GqwzU1xeyd9XHOTH/U1fhnJ30DJ/XBTDI73o4edsTDKKyipJyikhMbvYJNlJvJDstGYJUqWC24aHM71vgLFLN0BybglLN5/m421nm/V4fYLdmBrnz8Awd8K9HI17bDadyGjwD4LeF5ahprfxMlSHeZ/uACSZqUOSmVod6kVy993w3nvGi511dmZ4pAdbT1u+joi4tFHdvNh7Ltf4oerlpOPKOD9CPB05mJTL7yczG5xdWDwnjslx/lRV6Xngq31sOZFR7+0uNrGXL3MGBDEyyoui8koSLjTyPJNlSHDOZBbVuxG6Mc52Gm4bEc6c/oEEuzugVquorKpm2dYEnl1ztN77RHo7MjnWn0mxfsQEuNS7iXfDkTTu/GRXs2JRq+CKGD+GR3oyLNKTSG+neh9br9eTW1xhluQk5pSQlGNIdpo7qzizbwATevkR7GGPTmPDN7sS+fyvcy2aSRsY6s7QCE96+DuTU1TO5hOZ/HosrcFltSlxflw1IIjR3bxbvQzVod6nFSbJTB2SzNTqUC+SP/6AKVOgwPDGXaLR0fNvK5SNqZ0snhPHYysOKh2GaIbeQa48NCEanY2avYm5fLb9bL17U/oGu3FZDx96B7myPT6bpVtON6vWzN8mRDO9bwChno7GMb1eT0peKUs2nmL5Xy2rs9MnyJUhEZ6EejoQn1HEp9vPNpgcBHvYMznWnyti/OgX7GayfAOQUVDGguW72X6m+T2pvJ11DIvwNCY3IR4OTTr9VF2tJ6OwzHRW58L/n84oatKJOSedBgdbm1bX4gHo6e9CDz9ncorLScsv42hKw8tZd4+OYE7/IOMep+bqUO/TCpNkpg5JZmp1qBdJZSX07QuHDxuHOuvsTJ9gN/47O47Jr/2udCjN5uWkI9LbsdV1WroKLyfbek9bxQa6mNRYqU9soAsPT+zOiCgvtBf+uq+squaHfcm89usJErNbftqqqfxc7LgixpdJsYZj7DUdqCsqKvhx9VryvGJ5ek3Lj8gHutkztE5yE+Bm36LHqaiqJiXX0Bvr420J/H4y89J3akPOOs0li/K52Gl4+IruTOsdgLtj05ehOtT7tMIkmalDkplaHe5F8u67cO+9xiaU0HkTmpuGhrJwQjT9nlmvdCgt8sJVvUnNK2Xp5tOt2uvR1XX3dUaP3qTGSkNuHBrC/Zd1w8fFjoqqar7ZlcQbv52sd4aovUzs5cvcISEMCnFlwy8/MWXKFDQaDTsTcnj8uwON7jFqijBPB4ZFejIs0ouhER74ONtd+k4NKCitYP2RNFYfSOG3Y+n13kanUTe4ubc9xQa68ND4aMZEX3oZqsO9TytIkpk6JJmp1eFeJPWcbFoy7Br+N9p6Kkw317Q+Afx0KIWKqo71sovyceLmYaE8ufLwpW/cAnGBruSWlFtkdqE+9lqbNjuFpJS4QFduGBLC+iNp/NrAh/XFnHUabGxUTeoy3RQ9/Jy5ZXgYPfycCfdypKC0kg/+OMOyrQnNepxAN3tS8krMqvxG+TgZZm0iPBka4dmsGY26covL+elQKqsPpLD1dKbJ1xkc5sGgcHcOJOVZfEYHzI/aX6zDvU8rSJKZOiSZqdUhXySHD8Pw4ZBfOwXfWWdnrEGfIFcmxvjx9qbTbVLw7mL9Qty4rLsPnk46tp42NAi0dtZwBN7f1Y4oHyf2J+Zesst0c9jaqOkV4IK3s47dZ3Oa3MJBo1YxNMKTSG9H1GoVf8Vnc+SifSgqFfTwczEmN4MjPEwK4DVVRkEZ6w6lsHp/iklTT7UK+oe4U1ReRUJmkTHZ9XS0ZXb/QMZE+3A4OY/3fo9vdaHGhswbHcE9YyJNkrYO+T7dkOpqOHfOsPfR2RlCQkDddnV4rCaZef755/nuu+84duwY9vb2DB8+nMWLF9O9e3fjbfR6PU899RTvvvsuOTk5DBkyhDfffJOYmJgmfQ1JZmp12BfJc8/BP/9pvJjk4s3Ie+WodmcX4e3I+J6+XNbDBy8nW37cl9zisvut1Z4zNxFejhSWVbbJRlQlTOzli62NitUHU9vl8YPc7bl2YDATYnxJyCxi6+kstp3OMjterlYZZqeGRXoxLNKTQWHuONg23CurPsm5JYYGmAdS2H+JFhNuDlruGBHOzcPDcLXXkppXys8XuoLvOtv8zdCXMibam8en9CDQxZbf1v/c8d6nL3b0KHz3HezeDYWF4OQEAwbA7NnQs2ebfAmrSWYmTZrEddddx6BBg6isrOSJJ57g4MGDHDlyBEdHw+7+xYsX89xzz7Fs2TKio6N59tln2bJlC8ePH8fZ+dK7xSWZqdVhk5nKSvDzg6ws45DMznR8UT5OTSor3xRuDlrGdffh8p4+9Aly44Ev95p0W7YklYoWdb/uCtp7z8mobl7cNiKMMdE+ZBWVsT0+m22nM9l2Osuk5QGA1kZFnyA3hkd6MjTSk/4h7thp62/jUJ9zWcWsOmCoOtzY6SRnnYZbR4Rx+4hw4wxKekEpPx9OY93BFLbHZ7W4EWpjuvk40ivAtbZ68oUWEf6udoo3w+ToUXjqKUPNsLIywwyNWg06HcTFwb//3SYJjdUkMxfLyMjAx8eHzZs3M3r0aPR6PQEBATz44IM89thjAJSVleHr68vixYuZN2/eJR9TkplaHTaZAbPZGT0QLgmN4nr4OXMms6jBD7CYABfuGxtlmMZvoyUjjVrFwDB39pzL7fDLN51BlI8TcYGu2GnVFJRWsu5QqklBQSXdOjyM4ZGGooNaGzW7z+ZcmLnJNGu8aatRMyDE3XhSqk+wm/FU2KWcSi9g1X5DZ+/4BjY1a21U3D4ynDtHRuDtrDOOZxWWGRKbQylsPZ3V7s+djVqFv6udSZITVCfZ8XbSmR2vb1PV1bBwIaxYAaX1bEa3s4OrroKXXmr1kpPVJjOnTp2iW7duHDx4kNjYWOLj44mMjGTPnj3069fPeLsZM2bg5ubGxx9/bPYYZWVllJXVTufm5+cTHBxMZmamJDMVFaxfv54JEyZ0vGSmstKQyafXbmzse8/HFNnWX4JdWNbcwUEs39FwD5wZffz5+6Ro1h9N58kf6y/U1hFNifXlX1f24PeTWXy/L5ltLWyH0NCRbGvk4agl0M3QETuzsIwDlzhS7uVkS1ygC0k5JZxMb93ppqay06rxcrSltLKakooqisrMlwgdbG0YEOLG0AgPhoZ7EBPgYjxq3hBD36tC1hxMZc2h1AZbTdw4JJh5o8PxczE9fZVTXM6Go+n8dDiNraezqawnsalv5s/dQXvh/q3fqK3TqAl0syPI3b72n1tNPyx7XO01zep0biYhAa6+GpKTQaMh0c2PNeGDufrMNjwLsqG8HPz94ZtvICysVd9Lfn4+Xl5e1pXM6PV6ZsyYQU5ODr//bqjHsXXrVkaMGMH58+cJCAgw3vbuu+/m7Nmz/Pzzz2aPs2jRIp566imz8eXLl+PgIB+M1uaBbc1bExfK8nfQM8ynmtIqWJvY9Cn/1vK115NW0vI36KvCqxjpq6fmPb6sCs4VqtibpWJHhoqK6nb8S7eN2Kj0+NlDcSXklCsTb4SznmG+1YQ46jmaq+KvDDUpxR3ruYtzr6avp55urnocNaBpYPJAr4dzhbAnS83eTBV5Febfh6+9nnk9qvCs50R5cSUczFaxL0vF8TwVVfra+9uq9ehswFYNhZVQVlV7nQo9WjWUt9PvnJ2NHk8deOj0eNpd+K8OPOwM/9U18WWr18PmVBXfJxjuMCesitH+bZtOFBcXM3fuXOtKZubPn8+aNWv4448/CAoKAmqTmeTkZPz9/Y23veuuu0hMTOSnn34yexyZmWlYh56ZqXHPPfDFF8aLKU4ejL59qYIBiZYKcLUzWwpoTw62NpRVVrd6mv/p6T2Z3TcA3UX7LzILy1h3KK1VReMsRWujYna/QALd7Cgpr2LNoVTOKXQsvjEd6SRYbIAL7g5a3By0uDvYXvivFjd7La4OWuIzivjzdBYbj9d/nPvFObHM6ONf76xHfkkFG49nsO5wGr+fyjL5ngNc7fB21uFga0NmYVmrZ7c8HLX4Otvh66LD10VHYVkV53NLSMopadLsoYej1tDZ3M3BZHYn2N0e/7RzZD76BD+UuPDK8OtN7rf9k/vwrCwBW1vD8tNLL8Hcua36XqxuZmbBggX88MMPbNmyhfDwcON4S5aZLiZ7Zmp16D0zNSorIToazpwxDslm4K7Ly8kWD0dbTqYXtsmm3Jl9A/hhX9ObKAI8MzOW2f0CcdTVzhJuOZHBoh8PE59pmWWVuhxtbbh5eBjOdhq2x2c3uS+Um4OW8spqiltY9HCwdzX+AYEkZBVzJCW/Q9RK8nKyZU7/IEZHe5NTXM7ec7nsOZfDXoU2j9e4fUQ4o7p54X6hgam7oy3OOsPyTkFpBb8dS2fdwVSzDt1B7vb0DnQhKy0FJ09ftsVnt/jnVSPC25FBoR4MDHMnJsAVrY3KrEVETX+sghYe2x9/cjvvr3weNBdeIzqd4Y/SKVNaFbvV7JnR6/UsWLCA77//nk2bNtGtWzez6wMCAnjooYd49NFHASgvL8fHx0c2ALeAVSQzAD/+CDfeaOzbJJuBxYtX9cbHxY7dZ3N4/ddLd6tuzOOTe5CYU8xn21vW9+hfU3sxoacvfq52LNt6htc2nFSsKrKnoy39QtzoHeRGqKcDpzOK+H5vUrsWJ7xpaCh3j44g2MOwbF9eWc2q/ck8s+ZImxXna6mRUV5cOygYP1c74+xKSXkVidnFJs08T6YXcvai01HtTaNW4eagxc3BFo8Lsdlq1OxPyq3352WnVTO7fxB+LnbklVSw+URGm5we9HKyZeCF5GZgmGEvUc1G6Txj809DkvP93uRGT3rVOP3iDGz0F040qVSGejPr10NERKtitZpk5r777mP58uWsXLnSpLaMq6sr9vaGnh2LFy/m+eef56OPPqJbt2785z//YdOmTXI0uwWsJpkBeOYZwwmnC0uGT11+Fx8NnKFwUKI9+brouGZgMG80UmvmmoFB3DkqgsKySma/tbXFX+uqAUFM7e3Pv1YeavUH//WDQ/j9ZIZxs6iDrU2r/5pujTBPB3oHueFkpyG/pIKswnK2xWdd+o4tMLNvAON6+DAs0hMfZzt2nMnmzY2n2FxntmhAqDtxga5kFZXz+8kMRRIee63NhQRHi4ejLW4OtrjaaympqCKvpIL0/FJ2JjS/doyzToPrhaWpE2mFHWbJ7GJeTjo8HLUkZBZTXmUao73Whr7BbgwKc2dAmAd+Lnb8cjiVb/ckNSnhe2/F00w4tcNwQaUyLDNdfTV8/HHXOc3U0I7qjz76iFtvvRWoLZq3dOlSk6J5sbGxTfoakszUsqpkproabrjBcPyvwvDmJ8tNXcc1A4P4elfDp6dc7bWM6+5tXDJSqeC24eH4uer4z9qm72n58NaBbDmR2exy/E3hrNPQN8St3pL5E3v5Mjjcg+fWHrVITZtgD3tsVCrySirIL61st+PD0/sEcGVvf5x1Gj7dfpafDqcav79R3by4d0wkOq0Nm4+ns+lEBgeS8kzu72KnYUiEJ7Y2aorKK9l0vGlLaNamT5Arw6O8cNDakFNcQU5x+YV/FWQXlpGSW0ylvv02Tgd72JOWX9YmyVfC4qm1F2xswMcHPvkExo9v9WNbTTJjCZLM1LKqZAZgwwa45hrIMfzFlOngysAFnyscVMf16KTuvPzLiXqPg3YVl/Xw4Y3r+7Hw6338fDitTR/bzUHLQ+Oj8XO1Y/G6Y83aL+PuoK332O3oaG/+eWVP9ifm8vh3B5v0s/N3taO0oqpNjvE2ha2N2uyv+dYYGOrO/HFRjO3uTWZhOVtOZLDpRAZbTmSQV2L6PfXwc8be1oaS8irO55RcslO1NZrdP5D7xkYR5eME1L5PT7hiEkUVkJZfyqr9yXz+17l2aTHSGuvfv5duWYm1A46OcO218N57bdLWQJKZOiSZqWV1yUx1NUyaZFh7vWDofctIdfZSMKiO7Y3r+3FFjB+v/XqCNzeeVjocxdw5MpzR0d7c/OGONn/smAAXnp4Rw4BQD6qq9azan8z/fjneYE2Spgj1dOD5WXFUVut57/d4RRogNsX4Ht5sONZ2syW3jwjnvnGReDnpqKrWsy8xl03H09l0PIOD501nbZx1Ghx1GorLKxvtLzUk3IN9ibmNVir2ddExINSd3OIKUvNKSc4robSiYy0R9fJ3pn+oO/1D3Al0s8fD0RYnOw2Hz+fz8+FUfjmSZpb8+bnYEeblgNZGbZHfIZNZGYDYWPjyS2hiu6FLkWSmDklmalldMgPw008wdSpU1e5BkOWmxoV7OTJvdARjunsz7PnflA6n05rdP5C/T+6Bj3NtkZHCskq+35PES+tPtHhvyAtzetPD35llWxP4bs95s+vnj4tEp7Fhf2Iu+xJzyWpic8eOrk+QK9G+zkT6OBHh5YirvZaErCL+OJVV76zNpXg62mJva9Ngkums0zCjXwDXDw6hl78LeSUVJOeWkppfQkpeKSm5paTkXbic2zETnvZgo1Y1aRny9AvTDZt+a2i18PbbcMcdbRaLJDN1SDJTyyqTmepqmDABfqv9UC6z0dD94R+Ui8lK+LnYcfvIMJb8dqrNOiW72mub/aHS2Q0Mdef16/sR4GZvdl1idjEr953nf7+caNFj/21CNCfTC/lxv/lx8rX3j6KnvzPnc0vYn5jHvsQc9ifmmXSGtnYatYoQDwdCPR0oLKvkXHYxafnNb9iptVE1epS8d5Ar1w8OYVqfAJx09Rfq1Ov15JVUGBKcC7M5qXmlZglQezUs7UhmHfqNV9a8bDo4ejRs3Ng1u2ZbgiQztawymQE4fBjGjoXM2mnT7gtXUKbVNXwfYdTQfo2Wig10wUalYv9FmzcFzOgbwIALSwM9/JxNGgLmFpdzx8e72N3GHZfX3j+KXgG1722VVdWcTC/k291JfPDHmUbuKS5mr7VhZr8ArhsUQu8g12aX/dfr9eSXVBoTnZS8UlLySvj1aDpHmnDE2VqYLS9ptfDXX1CnHlxbkGSmDklmalltMgPwwQewYAGUGKaMpfZM1zUyygu1WkVSdrEiReuaQ2ujYnKsP5Nj/Rga4Ym7oy2n0gt4atWRNt/T8PW8YQwKczf7AD50Po/n1hxtk+PZLnaaNpvla6lLzbK0lV7+Llw/OJgZ/QJxsWv8/TK/tIKk7BKScoqN1XaTcoov/LekU81m7lhyEz5FFyXk99xjWGJqY5LM1CHJTC2rTmaqq+H22w1HtauroaKC/T4RzLjxJaUjEwqI8HZkVt9ALu/uxaEdW+g9dAy/Hs/kxZ+PKx1aq1w7MJj0glI2tuJI8qhuXjw+uSc9/JxNuifvPpvDy+uP8+ep2qQmyseJYRGenM0uZn9irtV86Aa42hHgZo+vqx3eTjqyi8qJzywkPqOozWv8qFQwvqcvo7t54e1sdyFZqU1UzucUNynBc3fQEuTuQKBbnQaQ7g74u9lRVFbFn6cyea2VBSEtwWxWZvRo2Ly5Xb6WJDN1SDJTy6qTGTAsN912m6HVQXk5VFUR9n9fKR1Vl9En2I3UvJIW7VloT952emYODGdy7wD6BrmhUsHag6nMX76nwfs422noG1x/DZiOwN/VUPW1tR/MA0PdGdnNi/4h7vQNccPFTsvW05n87+fj7LlQ8t/R1oY7RoZzx8gIcorL2Z9k2Fi8PzGXQ8n5La5FYqm+SyqVYRZleKQnwyO9CPZwIDWvlPjMQk6kFfDdnvMWKWLo4WhrkqQEudtfSFwcCHS3b3AvzsWy8ou5Y+mv7Mtqu70nbcUskbG3hwMHICqqXb6eJDN1SDJTy+qTGYDVq+Hvf4dTpwwzNFVVhD3yo9JRdRnezjpm9Ang/Q66F8PVXsu0Pv5cEWNY1jmRVsCVr//R4O2DPewZHuHFV7sSG7xNZ9Ld15n+oW70C3GnoLSSFbuTjHs5XO213D06gluHhxn7UJVXVnM8tYDdZ7NYu/0w2ThzOrOo2YX+xnX3btVsU3No1Cr6BLsxItKTYZFe9Atxo7i8ihNpBfyw9zxf7my7n/W9YyOZ1S+QIHd7HGzrT1ZKK6rIL6kgt6SC3OIK8koqyC4q42RaIUdT8zmWUmAVJ9K++vwxhiQdNh2cOBHWrWvTTb91STJThyQztTpFMgPwyy9w771w/jyUlTH67vc45+5/6fuJNvPszFieXn2k3r+8B4a6s6uNN7m21Jhob64fHIyznZYb3v+rTR/b21lHRoH5LJWbg1bxHkWt4eVky71jo7hhSAh2FzqH133vKK2Cg+fzjLM3+xPzSM23XHd0oQyzWRkHB9i+HeLi2u1rSjJThyQztTpNMlNdDY8+aqgymW/4q1Jqz1je+zcP5PHvD5p9oLvaa3liSk9iA125+p2tijVhrE/vIFezEvrt4bv7huPtpGPb6SweXXGg3b9ee/F3teOFq3rj56xl79bNzJpW/3tHal4p+5MuJDdJuRxIzLOaar0OtjaUVlTRhQtnX5JZTRmAp56CJ59s168ryUwdkszU6jTJDBj2z1xxhWF2BtgeHMt1c/+rcFBdzxd3DeW5tUc4dN782OnIKC/+MyuOHQnZPPzNfgWia74+wW6k5ZU2aaZhYi9fDifncz63/qJswyI8WX7XEAB+OZLGM6uPmBRwiwlw4XCy9R3XDXSzJ9TTAV8XO3xcdPg62+HrYoeviw5fFzu8nXXY2qiJzyxkX2IeG4+ns+ZAitJhd0hRPk7EBLgQ5unIqgPJxGd0vNN5T/z2AXft/N50cOhQ+PPPdlteqiHJTB2SzNTqVMkMwIMPwmuvGS/K7EzHUVNF1E6r5uGJ3Yn2dWb+8j0UlFYaKxT//buD7R7H5Fg/evi5sDcxp1lNCxfPiePPU1n1Fqura/ldQ3C117L+SBrrj6TVm5zM7hfIrSPC6ObjzNItp3l702nKKquxUau4aWgoo6O9+Cs+mw1H0zh90YdZlI8TGrWKY6kFTY5ddEx2WrVVVhA2W15ydIRt29p1eamGJDN1SDJTq9MlM6dOQe/eUnvGSllyU2jvIFduGBLCFTF+bDyeznNrjpFZeOlTWfeOjWTF7iTS69kbU8NZp+GLu4cSE+DC+dwSvt9znpfWm1f89XXRMbGXHz39XdhwNI3fjqUD4OWk4++TezC7XyDnsovZcDSNX4+msyMhu9Gy8uFejjw4vhs6jZo/TmWyYvf5LlF9VljO8f/NRFdVZ7lQrTb8Afl//2eRry/JTB2SzNTqdMlMdTVMnmzYEHzBt7GX8fCVCxUMynLstTby4dVMzjoNs/oHMndICD38XEjPL2Xplvg2q5Q7rrs3o6O9iQlw5d7Pdjf7lIpOoybS24nSiipS80stcqRYGHg56Vg4IRp7WzWr96fw64Vks6u6/88vWPjH56aD8+fDkiUWi0GSmTokmanV6ZIZgIMHYeRI40ZgkOUm0TyDwz1w1mk4mpJPcp51n8pRq6CHnwuV1dWUV1ZTVllNSgf8nibF+DGmuzdu9lpOphfycj0zWUob192bfiHulFVWkVNcwc4z2ZxML1Q6LIsxW14aNw42bGj3fTJ1STJThyQztTplMgPw5pvw0ENQYTgOK8tNojPQadQ8PrkHldV6yi4kJmUVVeSVVLD3XC7H02QfTVel06gpa8eChKdfno1NzfKSRgNOTvDFF4a6MhbUnM/vppUkFKIjmz8fMjLg6adBr0cF3Lnje94fPEvpyCxmep8Aisur2HA0TelQRBspq6xm0aojSofRoQS525ucCKtrXHdvon2dWbol3sJRWV57JjIffbMIm+oLy5vV1WBrC1Onwvjx7fY120LHq5csREs8+SQMHGi8+M+NHygYjOX9uD+50ycyXk62SofQaUyO9eOeMZEEutkrHUqzNJTIAGw8nmFMZPoEuzElzo8h4R6WCq3TGBe/C/R6sLEx/OvXz1B13YLLSy0hMzOic1CrDTvs77wTKitBryd+8TQiHluldGSijWQWdvyS79Zi3aFUi3/NOf2DiPZ1ori8il+PpdVbm6itGCoTt9vDd1rHXppt+J/qatBqwdMT/vlP6NlT2cCaQJIZ0XnMnQsvvwyHDkFVFWr0vLFyMQtmPKZ0ZEJYhIejLa72Ws5kdrziayv2JBn/v5uPE/eOjSQ2wJXK6mp2nMlm9YEUq+na3Rn969d3saus8weDszNce22HX16qIcmM6Dw0Gnj2WbjvPkNl4Opqph37XZIZ0WVkF5WTbQVNC0+mF3apk0HW4I5dFzXs7dUL5s3r8MtLNawjSiGaaupUQx2EwEDj0JmLjxgKhkbIXgIhhMG6Dy8qgmdvD088YRXLSzVkZkZ0PtOnG3bgX3cd5OWhAhave43HJj+gdGQdxvb4bKVDEB3EbSPCcLXXklNUTnZxBcdT8zmRJrMmXYVXUQ49MxJMB0ePtprlpRqSzIjOaeJEGDLEWB342gPrJZmxIj38nHGwtWHPuVylQ7Fao6O9UQGJ2cXEN7KH5qM/EywWk+h4di25yXTA1hYWL7aa5aUa1hWtEE2lVhsK6el0xiFZbmob47p7c9eo8Hb9GsdSC9hzLpcJvXyxtZG3qZbYciKDzScyGk1kRNd25OU5pgMqlWGfTJ8+ygTUCvIuITqviRNh1CjjRRXwn5/eUC6eTmLj8Qze+71tehldyvojaZRXWV+nYdE2PBxt6envgpeT7tI3Fs3yyVf/wqHiogaql10Gr76qSDytJctMovNSqw0vzMsvhzRDQbm5+3/mH5MWKBuXEFbI205PXKgPwR4OBLrbE+hm+K+fix1rD6bw9OrWVSvuE+RKbKArn/91zjjW0OmsUE8Huvs6czQ1n8TshgvptZazToODzoa0/Et3WLc2oxP2mg6Ehho6YlvZ8lINSWZE5xYTY2hzMG+ecej0C9OJfPTHRu4khLhYRqmK345ntNnjOdtpmNDLl+/2nAdgf1Ie+5PyGrx9iIcDj07qzuAwD3xc7MyuP5dVzA/7zrdp08qCskoKyirb7PE6iv2vXms6oFLBP/5heL+0UtaZggnRHHfeaXJU20ZfzUurX1YwICFEQWmlMZFpinPZxXz4xxlO1VOfJq+4gi0nM/jtWHqL4xnf05d5oyMYEOre4sdorjfn9uf16/tZ7OsBLPv6SVzLLtpH1a+f4X3SiknX7C6k03bNboq//oKhQ02GwqSzdqc2f1wk43v6UlZZzcp9yXyx49yl7ySsgkoFi6bFoLFRsf5IGltPZcneqiZKuPgghE5neH/sgJt+m/P5LclMF9KlkxmAkSPhzz9NhiShEZ3N3CEhDApz5/Pt59h1NkfpcDoMb2cd43v6otfr2Xg8vVPug7mUEy/OxLb6omWzBQvg9deVCegSmvP5LctMouv44w+IijIZ2rzUuqdWhbjY8r/O8dBX+4kJcGH5XUO4Z0yk0iF1CBkFZXyx4xxf7kzskonMpON/micyAwZY7emli8kGYNG1HD8Ow4bBjh0AhOamctXB9XwbN0HhwIRoWx9vO8vH2842+34LLosixMOB87klHDqfz4ajae0QnbC0d3543nRAo4EPPrDa00sXk2RGdC1qNbz/vuG4dobhZMb/1r4myYwQF7zx2ymlQxBtrN6Coddf3yH3ybRU50jJhGiOuDi4/36os2/o2EuzFQxICCHax7a3bkF18aCPD3z4oRLhtBuZmRFd0z/+Abt3w6pVUFWFXWU573z3HPfMfkLpyEQLzOoXwH/n9MZGpWJHQjZz3/tL6ZA6vStifAnxcKBaDx/80XhFaD8XOybH+dHL3wW9HrbHZ/Hd3qYfyxYt51+QZTrg6mpYXtJ0ro9/Rb+bLVu28OKLL7J7925SUlL4/vvvmTlzpvH6W2+9lY8//tjkPkOGDGH79u0WjlR0Omo1PPss7NsHCQkATDq5TdGQRMt9vzeZ7/cmKx1Gl/Lz4abvpUnNL+0wDS3ttTbcPCyU0xmFHEnOJzmvtEn3e+26vuw4k21Sobijq/cY9osvwtTO16dO0WWmoqIi+vTpw5IlSxq8zaRJk0hJSTH+W7t2rQUjFJ1aTAw8/rjJBjhpRilE51ZSUcXSLfFsOJrepESmX4gbE3v58sT3h6wqkTFpIqlWG/5NmwZ33KFcUO1I0ZmZyZMnM3ny5EZvo9Pp8PPzs1BEosu5805Ytgy2GWZlVMBnXz7Bjdc9p2hYQoiOYe+5XKVDaLa3v/+PeRNJb2948slOc3rpYh1+0WzTpk34+Pjg5ubGmDFjeO655/Dx8Wnw9mVlZZSV1f4Q8/PzAUPBuIqKinaPtyOr+f67+vNg5u23Ydw4KDX8lTYkve16uwhl9Q9xY29iLp2pNKiHo5bsoq7xGrbVqCmvlMq+zTU+cS8V9va1A87OsGgR9OgBVvT+35zPqg5TAVilUpntmfnqq69wcnIiNDSUM2fO8K9//YvKykp2796NTld/S/hFixbx1FNPmY0vX74cBweH9gpfdEIPbOvwub64hDj3am7qVo2tGtJK4Pn98jPtSIZ4VzMpuJr8cjiQreZgtor0UrOzN6IZXh1aiaqTPIXFxcXMnTvXutoZ1JfMXCwlJYXQ0FC+/PJLZs+u/yhtfTMzwcHBZGZmSjuDigrWr1/PhAkTumY7g8ZUVkJsLKSkGIfKbDTEzv9CwaAEGLorF5S2rnPx5r+NIsDNnoqqanot2tBGkbWMl5MtmYXlisYgOqeVyx+hV2aC6eCIEbB6tVUuL+Xn5+Pl5dWkZMaq/kzx9/cnNDSUkydPNngbnU5X76yNVquVD/AL5Lmoh1YLr7wCM2dSsyahBZ747QOeu6xzbpizFgWlldwzJpJ3Np9u8WOMeel3xvf0YUi4J7P7BSp6LDizsJx5YyLQ6+HdLfGKxSHaVlsk3a3RPSOBPolHTQdtbOCFFwynmKxQcz6nrCpVy8rKIjExEX9/f6VDEZ3R9Onw0ksmQ3ft/F6hYERd72w+Td9gN+aNiWjxY2w4ms5za492iPomSzfHtyiRee26vhx66gr+eWXPdohKtIaSiQzAzx/+n/ngnXdCv36WD0YBiiYzhYWF7Nu3j3379gFw5swZ9u3bx7lz5ygsLOThhx9m27ZtJCQksGnTJqZNm4aXlxezZs1SMmzRmT30kOENoA6zWg1CEfsSc1m6OZ7Xr7fMm/OVvf157bq+eDnZWuTrNcUDX+4j9t8/8+yao5e+segy6n2PmjwZ3nnH8sEoRNFkZteuXfTr149+FzLHhQsX0q9fP5588klsbGw4ePAgM2bMIDo6mltuuYXo6Gi2bduGs7OzkmGLzu699+DKK02GTGo2iDbn7tD06eT7v9jbjpFA32A3ANYcSOHFn4/z3Kw4wr0c2/VrCtFSO5bcaD44dKhhn0wXouiembFjx9LY/uOff/7ZgtEIUcePP8KQIbBrFwAOFWXcsfMHPhg0U9m4Oqmc4o5zXHRfYq7x/5NySpj36W7lghGiEX2Tj+FTlGs66OoK775rlRt+W6NrfbdCNJVaDc89B3VqNfzrt/cVDEgIIUz98OnD5oN33GFoptvFSDIjREPGj4eJE02GpN2BEO3PViMfTZdS79J3aCgsXmz5YDoA+Y0RoiE1szMBAcYhFXDwlauVi0mILqCjVf0dFOZOhHfH2Tf17w1LzdsVqNXw8sudrht2U0kyI0RjYmIM7Q7qLDc5l5cQkZWoYFBCWAdvZx2DwtwZGeWFvdZG6XBabGdCDvEZRUqHYXTb7lXmg3ffDQ0Uk+0KJJkR4lKmT4dPPjEZ+u39exUKRgjrkVFQxs6EHI6l5jOzXyAPT4xmQi9fpcOyavUew37sMcMfXV1Y15yPEqK5rroKHn3UUE3zgoTFUwl7rGsdfxTta3a/QNwdbdHroaC0glUHkimt6FhLLi2RWVjOFzvOKR2G1at3z96998J//2v5YDoYSWaEaKrFi+GHH+BEbVftIy/PodfCFcrFJDqVjlCdWHRM6z78P8z6R/bvD0uWKBFOhyPLTEI0x8GDJhvsHCrKeHTTMuXiEUJ0euNO76RnRoLpoL09fPhhl6sn0xB5FoRoDltbs/5N9/31LZ4XF64SQog28tG3T5kOqFRw++3Qp48yAXVAkswI0Vz33w/XXGMytLu+kuJCCNFKZht+VSoYOxZef12ReDoqSWaEaImvvjJLaKSgnhCiLdVb02rUKHjzTVleuog8G0K01BdfGN5YLlABR1+ShpRCiNZ798fncS4vMR308DBs+O3ZU5mgOjBJZoRoKbUali416YNiX1nGjiU3KRiUEMLa9XKrZlzCHtNBtdrQQLIL9l1qCklmhGiNnj3h888hONg47etTlMNXXz+hcGCiqxnf0weN2uzwrrBC83rWU1vorrtgjsz8NkSSGSFaKy7OMPUbGGhMaPqnnrjEnURr2MiHtpkNR9OprNYD4GKnIcjd3uw2Whvre96uGRjEugdGsWRuP6b29lc6nHZ38vV69slcey28847lg7EiUjRPiLYwfTpkZMADD0CRoYfLa8MqeWCbvMTaQ1W1nteu64u7vQ0rftvBlgw7coorlA6rw8gvreSuURFM6e3PR3+e4bPthuq7Whs1oZ72nMsu7nDNHOvydLTFzUHL6Ywivt6VxNe7kpQOySJOvTAdvZ3OdDAuDpYvVyYgKyIzM0K0ldtuMzvhdOCtGxQKpvN74Mt9bDiawRh/PTseH8fJ5yYzu1+g0mF1GC+tP8HlL23ms+3ncHPQAlBcXsWp9EJ6+rswIspT4QgbllVUzukO1NjREna+cSMa/UUJppOTYRlbTi5dkjxDQrQVtRoeegicnY1D9pXl7H3tegWD6tw+2X6Ohds1/HPlEQ4k5bL4qt5sfmSs0mF1OLkXzVrtT8zlz1NZzX4cZzuZaWwPQ88ewLs413RQrTb0XJINv00iv5lCtKW4OHjuOUMX2wvcSwv425ZPeWm0nHJqL1/tSuKrLrIUoaSC0kqlQ+h0Ribs5bOv/mV+xd/+BvPnWz4gKyUzM0K0tQUL4LrrTIe2fYVXUY5CAQkhOqp6ExmAf/zDsoFYOUlmhGgPb75pNrRL6s8IIeqot2p4cLDhv7JPplnk2RKiPdR01g4NNRk267MiOgxvZ92lbyREG4lfPA2zg/JhYfDttwpEY/0kmRGiPb3wAnTvbjJ06oXpCgUjGpNRUKZ0CKKLOPDKNajRmw56esKPP0KPHsoEZeUkmRGiPU2aBIcOwZVXGoc0+mp+e/duBYMSQijlu0//hkt5semgRgPvvScnl1pBkhkh2ptGA999V7sWDkTkJDNvu0wnC8uz06pRWV8h4E7hpdUv0z/5uOmgVgt//zvMmqVMUJ2EJDNCWIKtreG4to2Ncejxzcu4ft9PCgYluqLSimr0+kvfTrStkQl7mXP4N9NBrRZefBGeeUaZoDoRSWaEsJT582HhQpOh539eQkRWokIBCSEswbGs2PwItkYDr71maIEiWk2SGSEs6YUX4GrTRnK/vX+vQsEI0TTRPk5Kh2DVDr9q2uYErRamTIF585QJqBOSZEYIS/v6a5g712RIjmyLjuxEeqHSIVit+MXTTAdUKhgxwtCqQGrJtBl5JoVQwqefws03mwzVW0BLCGG1Tr44w/wIdkAAvP469OypTFCdlCQzQihBrYaHHwYPD+OQCpmhEaKz2P7mLWirq0wH7e3hjTfkCHY7kGRGCKXExcGzz4KdncnwsZdmKxSQEKIt/Pjxg/gVXtSVXKcz/AEjR7DbhSQzQijp3nvhq6/Ay8s4ZFdZzjO/vKVgUEKIlnpq/Tv0Tj1lOqjTweefw9NPKxNUFyDJjBBKmz4dzp41vOFdcNPetWxaepeCQQkhmsumuopb9qw2HVSr4bPPYM4cZYLqIiSZEaIjcHCA//zHZCgsN4WPvvm3QgEJIZqjT/JxTr84w/yKu++Gq66yfEBdjKLJzJYtW5g2bRoBAQGoVCp++OEHk+v1ej2LFi0iICAAe3t7xo4dy+HDh5UJVoj2tnAh9O9vMjQufjf//PU9hQISQjTVyk//Zj74yCPw9tuWD6YLUjSZKSoqok+fPixZsqTe61944QVefvlllixZws6dO/Hz82PChAkUFBRYOFIhLGT3bhg2zGTozl0r+cfGDxQKSAhxKfWeQpwzx1AkU1iEosnM5MmTefbZZ5k92/z0hl6v59VXX+WJJ55g9uzZxMbG8vHHH1NcXMzy5csViFYIC9m61fAXXZ0+Tnfv+J4H/pDfeyE6mnoTmcmT4VtpJGtJHXbPzJkzZ0hNTWXixInGMZ1Ox5gxY9i6dauCkQlhAS+8AN98A56exqGH/lzOhBPbFAxKWJMpcX4MCnNXOoxOrd5EZuBAWL3afFy0K43SATQkNTUVAF9fX5NxX19fzp492+D9ysrKKCsrM17Oz88HoKKigoqKinaI1HrUfP9d/XmwhDZ5rqdOhY8/httug9JSqKzkrZ9eZmnGTP434oY2ilR0VmsPpiodQqd28vWrqbC3Nx3094cPP4SqKsO/FpD36VrNeQ46bDJTQ6VSmVzW6/VmY3U9//zzPPXUU2bjv/zyCw4ODm0enzVav3690iF0GW3yXL9nugE4GAg9qOdsYcOvAyFE+3ltWCVrh31R/5Xx8YZ/rSTv01BcXNzk23bYZMbPzw8wzND4+/sbx9PT081ma+p6/PHHWbhwofFyfn4+wcHBTJw4ERcXl/YL2ApUVFSwfv16JkyYgFarVTqcTq1Nn+vjxw3HtteuhfJyAKYA1895ml2B0t9FtE6Qmx1lldVkFJYrHYpVOPn61fD6RYMBAbBiBfTq1erHl/fpWjUrK03RYZOZ8PBw/Pz8WL9+Pf369QOgvLyczZs3s3jx4gbvp9Pp0NUpPlZDq9V2+V+MGvJcWE6bPNexsfCvf0FxMaxcaRz+9rNHuO66/7A9tHcroxRdWVJuqdIhWI0G98gsWwYxMW36teR9mmZ9/4puAC4sLGTfvn3s27cPMGz63bdvH+fOnUOlUvHggw/yn//8h++//55Dhw5x66234uDgwNy5c5UMWwjL69nTcDpiwACT4S+//AdTj25RKCghuo56E5nevdslkRHNp+jMzK5duxg3bpzxcs3y0C233MKyZct49NFHKSkp4b777iMnJ4chQ4bwyy+/4OzsrFTIQihHo4GPPoKxYyE72zi85McXcKgo5eveExu+rxAKU6vAxV5LbrH1bWy15IyMaBlFZ2bGjh2LXq83+7ds2TLAsPl30aJFpKSkUFpayubNm4mNjVUyZCGUFRdnaFZ30SmKF9ZdvIgvRMdSrafzJDJxcfDJJ5LIdCAdts6MEKIB8+fDiy+Cu2kNkYTFU3ntR6k4KkRbqTeRsbExFLbsKZvvOxJJZoSwRvPnw8aNEBlpMjzj6Ba+/vwxhYISovOoN5EBuOsucHKybDDikiSZEcJa9eljON100VT34KTDPPjH5woFJYT1azCRufZaaRzZQUkyI4Q1i4kxtD247DKT4Qf//IInN7yrUFBCWK96Exl/f9ixA7780vIBiSaRZEYIa9ezJ/z8M8yaZTJ8++4feW/F0woFJYR1GXZ2f/2JTGQkrF8PgwZZPijRZJLMCNEZaDTwzDMQGgp12n1MOLWD3969W8HAhOj4Fmz9ki++fML8itBQWLVKTi1ZAUlmhOgsYmJgyRKzTcEROckceuVqhYISomP77Msn+Nvvn5lfMWWKoceSnFqyCpLMCNGZTJ0KP/wA06aZDDuVlzS8qVGILur3t29n5Nn95ldMmmSYkVHLR6S1kJ+UEJ1NTIwhobn3XrOrzkhCIwQAR16eQ3B+uvkVw4bByy9LImNl5KclRGekVsNbb8GcOSbDKgynNbplnlUmLiE6gDOLp+JQUWZ+xYAB8MEHsrRkhSSZEaIz+/ZbuOIKs+H1H8yXk06iS0pYPBVVfVdcc43h+LUkMlZJkhkhOruffjJMm2tM+8pOOLWDbz57VKGghLCseX+taHjf2Jw58NVXsrRkxeQnJ0RX8NBDhr86fXxMhgedP8L+V69VKCghLGPrW7fy+KaP6r/yqqsMM5jCqkkyI0RX0a8fvPceBAQYmuVd4FpWxOGXr1IwMCHaT/ziaQQUZJpfYWtrmLH85hvLByXanCQzQnQl06cbestERRnezC9wrCiVo9ui0zn9wnTU6E0HVSro2xd27TLMWIpOQZIZIbqa6dNhxQq4/nrQak2ukoRGdBYJi6dio682HfT0NJzy270b4uKUCUy0C0lmhOiKYmLgww/hzTfBxcXkqoTFU/nwm0XKxCVEGzBLylUq6NEDfv0V7rlHNvp2QvITFaKrUqvhrrvg00/NNgZfFr+Loy/NaeCOQnRML6x9rf7ZxYgIePFF6NPH8kEJi5BkRoiubvp02LABBg40+YvVvrJMlp2E1Tj1wnSuObje/Iq4OFi50tDqQ3RakswIIQxv+J98YmiupzItKZaweCr3/7lcocCEuLSExVPRXLw/BmDiRNi3T7pedwGSzAghDHr2NPwF+69/mSU0C/9YzqaldykUmBD1W/rdsw3PHg4dCj//LPtjugj5KQshaqnV8NRT8NprJrVoAMJyU2TZSXQYJ1+cwRUnt9d/5bBhsG2bZQMSipJkRghhbsEC+O47cHIyuyph8VQ++PYpBYISAvoknyBh8VS01VX13+COO2DrVssGJRQnyYwQon7Tp0NODowebXbV5ad3ymknYXHfffo3Vn66sP4rg4MN9ZPef9+yQYkOQZIZIUTDNBrYvBlefRV0OpOrak47BealKxOb6FISFk+lf/Jx00G12rC5d9kyiI+H2bMViU0oT5IZIcSlPfAA7NwJ3bubXfXnO7ezeemdCgQluoIN79/T8F6tyZMNvZVuucWsK7zoWiSZEUI0TVwcHDliaINw0Wmn0NxU2Rws2lz84mlEZSXVf+WkSfDjj4ZTeKLLk2RGCNF0ajUsXw7ffgvu7mZXJyyeyls/PK9AYKIzeXfFMyQsnmreJLLGpEmwbp0cuxZG8psghGi+2bMhPR1uvNHsqinH/5RZGtFiZxZPZeKpv+q/0s4OXnnFkMgIUYckM0KIltFoDH2dvvsOHBzMrk5YPJVf35unQGDCGv30wXwSFk9FVd+VTk7w8MOQlwcPPmjhyIQ1kGRGCNE6s2bBjh0QFWV2VWT2eRIWT2XUmT0KBCaswagze0hYPJUemWfrv8GgQYYSAS++CLa2lg1OWA3Z/i2EaL2YGDh+HObPh3feMbv606+fRA+EP7ba8rGJDutMQzMxNe66C95911LhCCsmMzNCiLahVsPbb8MPPxgKmF1EhWHpafVH91s8NNGxLFn534aXlMDw+7NnjyQyoskkmRFCtK0ZMwwFzJYtAw8Ps6tj0+NJWDyVky/OsHxsQlHTj2wiYfFUph77o/4buLgYZvYSEqBfP4vGJqybJDNCiLan0RgKmWVkwLXX1nsTbXUVCYun8v63T1s4OKGEM4un8vqq/9V/pa0t3H8/ZGXBvHly5Fo0m/zGCCHaj1oNX35pWDKoZ4MwwPjTO4hfPI3g3FQLBycs4eSLMxpfUgoPh127DJ3apYqvaKEOncwsWrQIlUpl8s/Pz0/psIQQzdWvn2GD8Jo1MGIEuLqaXK1Gz+9L7+TEizOViU+0uYOvXN14d2u1Gu69F06dMlSXFqIVOnwaHBMTw4YNG4yXbWxsFIxGCNFiajVMmWKo3pqQAP/7n6HDcUWF8Sa21ZUkLJ4qJ5+s2M43bsS7OLfhG2g0MGwYvPEG9OljsbhE59bhkxmNRiOzMUJ0Jmo1RETAW28ZjnQ//jgUFJjcpObkU5mNhrF3v0eKi7cysYomW/3R/cSmxzd+o7Fj4b33DD9/2Rcj2lCH/206efIkAQEBhIeHc9111xEff4kXixDCesyfD3/+CRMm1LtfQldVyba3byNh8VT+9asc0+2IavbENJrIuLjAihWwcaNh75QkMqKNdeiZmSFDhvDJJ58QHR1NWloazz77LMOHD+fw4cN4enrWe5+ysjLKysqMl/Pz8wGoqKigos50dldU8/139efBEuS5boYePWDVKsPS02OPwS+/1Huzmw+v5+bD63lw0oOsiR5h2RiFmROvX23Y1KuzpcHfch8feOIJQw8vjcZkSVHUT947ajXnOVDp9foG2pJ2PEVFRURGRvLoo4+ycOHCem+zaNEinnrqKbPx5cuX41BP/xghhHUqroTHd3bov8c6nSiXahbEVCsdhugiiouLmTt3Lnl5ebi4uDR6W6tKZgAmTJhAVFQUb7/9dr3X1zczExwcTGZm5iWfjM6uoqKC9evXM2HCBLRardLhdGryXLdSZSUsX27YX5GUZGgwWGV+KqbC3p5173/I3/6SpKY9/bVsHtuXvsmE229HW1LS8A2jow09lEaOlGPWLSTvHbXy8/Px8vJqUjJjVb9tZWVlHD16lFGjRjV4G51Oh06nMxvXarVd/hejhjwXliPPdQtptXDHHXDbbXDuHOzda+iaXM+eOY0aTr5+NdqSEnYG9uLqG19QIODOZ/bBX3l57SuAIWkE0JaU1J/MBATAkiWGpqOiTch7B836/jt0MvPwww8zbdo0QkJCSE9P59lnnyU/P59bbrlF6dCEEJagVkNYmOHfjBnw9NPw0ktQWFjvzQedP0LC4qkAbA+O5bq5/7VcrJ3AkHMH+eKLf6CmiRP2ffrAgw/W7okRQiEd+rcvKSmJ66+/nszMTLy9vRk6dCjbt28nNDRU6dCEEJamVsOiRfCPf8B338Ezz8CZMw3efGjiIWPNmicn3MOn/adaLFRrMjxhP59/9UTj3avrcnY2JDA33yxHrEWH0aGTmS+//FLpEIQQHY2tLVx3neHf998bxrRaaGAvhwp4Zv07PLP+HQD2+kcz6+aXLRRsx/TuimeYeOqvpt/Bzs7w36+/NhQ+lARGdDAdOpkRQohGTZ0Ka9cajnbv3AmffGJom1DnEMDF+qWcMC5FlWh0LO97Bc9cfrelIlbE/K1f8fDvnzZ99gXA0dHQhuKGG+Dyy+HIEbjiCklkRIckyYwQwvoNGwajR8NDDxk2CW/ZYvi3ebOhfk0D7CvLuGPXj9yx60cAKlVqVsRdzmOTH7BQ4O1DU1XJif/Navrelxo6naFP0m23GdpOhIUZkpeKCkMyI0QHJcmMEKLzUKsNFWajouD226G62tD/6dlnITm53uPddWn01Vx7YD3XHlhvHEtz8mDI/E/aO/IWe/bnN7ny2B+4lxZc+sb10WgMnasXLIArr6xNYISwIpLMCCE6L7Ua7r7bkNj88Qf8/ruhc/e+fY0uRdXlW5htXJaqq0ql5pBvJO8PmsmqXmPaOHBT6uoqfvz4IbplnUNXVdm6B1OpDDMw4eEwd65h75Fs5BVWTpIZIUTnp9EYmhyOHQv/+heUlhoK8v3xB5w6BadPGwrzNYONvpo+qSd5Y9WLvLHqxXYJu024uUG3bmBvb1hCGjAARo2SBEZ0KpLMCCG6Hjs7w7LKggWGy5WVhsRmxQr49ltITVU2vrYQEGDoTB4RYThOHRIiyYvotCSZEUKIujM3r70GJ0/CBx8YNhBnZUF5OeTmQkEL96W0J50OhgwxnD5SqSA21rCBNzpakhfRZUgyI4QQdanV0L07vHBRW4TqasOS1MqVhmQnPt6w76a83LD/JDfXcCw8MfGSG42bHIdOB97e4OFhSLjKyqCoyFBrJzoarr4arrnGcFmILkySGSGEaAq12pBAPPJIw7eprIStWw29pDZsMCxX6XTQo4chKTl0CM6eBRsbcHEx7N0pLAR3d8O+lgEDID0diosNCdIdd9QWrBNCNEiSGSGEaCsajaHezejR8IB116oRwprIgqoQQgghrJokM0IIIYSwapLMCCGEEMKqSTIjhBBCCKsmyYwQQgghrJokM0IIIYSwapLMCCGEEMKqSTIjhBBCCKsmyYwQQgghrFqnrwCs1+sByM/PVzgS5VVUVFBcXEx+fj5arVbpcDo1ea4tQ55ny5Dn2XLkua5V87ld8znemE6fzBRc6HIbHByscCRCCCGEaK6CggJcXV0bvY1K35SUx4pVV1eTnJyMs7MzKpVK6XAUlZ+fT3BwMImJibi4uCgdTqcmz7VlyPNsGfI8W44817X0ej0FBQUEBASgVje+K6bTz8yo1WqCgoKUDqNDcXFx6fIvEkuR59oy5Hm2DHmeLUeea4NLzcjUkA3AQgghhLBqkswIIYQQwqpJMtOF6HQ6/v3vf6PT6ZQOpdOT59oy5Hm2DHmeLUee65bp9BuAhRBCCNG5ycyMEEIIIayaJDNCCCGEsGqSzAghhBDCqkkyI4QQQgirJsmMoKysjL59+6JSqdi3b5/S4XQqCQkJ3HHHHYSHh2Nvb09kZCT//ve/KS8vVzo0q/fWW28RHh6OnZ0dAwYM4Pfff1c6pE7n+eefZ9CgQTg7O+Pj48PMmTM5fvy40mF1es8//zwqlYoHH3xQ6VCshiQzgkcffZSAgAClw+iUjh07RnV1NUuXLuXw4cO88sorvPPOO/zjH/9QOjSr9tVXX/Hggw/yxBNPsHfvXkaNGsXkyZM5d+6c0qF1Kps3b2b+/Pls376d9evXU1lZycSJEykqKlI6tE5r586dvPvuu/Tu3VvpUKyKHM3u4tatW8fChQtZsWIFMTEx7N27l759+yodVqf24osv8vbbbxMfH690KFZryJAh9O/fn7fffts41rNnT2bOnMnzzz+vYGSdW0ZGBj4+PmzevJnRo0crHU6nU1hYSP/+/Xnrrbd49tln6du3L6+++qrSYVkFmZnpwtLS0rjrrrv49NNPcXBwUDqcLiMvLw8PDw+lw7Ba5eXl7N69m4kTJ5qMT5w4ka1btyoUVdeQl5cHIL+/7WT+/PlceeWVjB8/XulQrE6nbzQp6qfX67n11lu55557GDhwIAkJCUqH1CWcPn2aN954g5deeknpUKxWZmYmVVVV+Pr6moz7+vqSmpqqUFSdn16vZ+HChYwcOZLY2Filw+l0vvzyS/bs2cPOnTuVDsUqycxMJ7No0SJUKlWj/3bt2sUbb7xBfn4+jz/+uNIhW6WmPs91JScnM2nSJK6++mruvPNOhSLvPFQqlcllvV5vNibazv/93/9x4MABvvjiC6VD6XQSExN54IEH+Oyzz7Czs1M6HKske2Y6mczMTDIzMxu9TVhYGNdddx2rVq0yefOvqqrCxsaGG264gY8//ri9Q7VqTX2ea96YkpOTGTduHEOGDGHZsmWo1fJ3REuVl5fj4ODAN998w6xZs4zjDzzwAPv27WPz5s0KRtc5LViwgB9++IEtW7YQHh6udDidzg8//MCsWbOwsbExjlVVVaFSqVCr1ZSVlZlcJ8xJMtNFnTt3jvz8fOPl5ORkrrjiCr799luGDBlCUFCQgtF1LufPn2fcuHEMGDCAzz77TN6U2sCQIUMYMGAAb731lnGsV69ezJgxQzYAtyG9Xs+CBQv4/vvv2bRpE926dVM6pE6poKCAs2fPmozddttt9OjRg8cee0yW9ZpA9sx0USEhISaXnZycAIiMjJREpg0lJyczduxYQkJC+N///kdGRobxOj8/PwUjs24LFy7kpptuYuDAgQwbNox3332Xc+fOcc899ygdWqcyf/58li9fzsqVK3F2djbuSXJ1dcXe3l7h6DoPZ2dns4TF0dERT09PSWSaSJIZIdrRL7/8wqlTpzh16pRZkiiToi137bXXkpWVxdNPP01KSgqxsbGsXbuW0NBQpUPrVGqOvo8dO9Zk/KOPPuLWW2+1fEBCNECWmYQQQghh1WQXohBCCCGsmiQzQgghhLBqkswIIYQQwqpJMiOEEEIIqybJjBBCCCGsmiQzQgghhLBqkswIIYQQwqpJMiOEEEIIqybJjBDCqlRVVTF8+HDmzJljMp6Xl0dwcDD//Oc/FYpMCKEUqQAshLA6J0+epG/fvrz77rvccMMNANx8883s37+fnTt3Ymtrq3CEQghLkmRGCGGVXn/9dRYtWsShQ4fYuXMnV199NTt27KBv375KhyaEsDBJZoQQVkmv13PZZZdhY2PDwYMHWbBggSwxCdFFSTIjhLBax44do2fPnsTFxbFnzx40Go3SIQkhFCAbgIUQVuvDDz/EwcGBM2fOkJSUpHQ4QgiFyMyMEMIqbdu2jdGjR7Nu3TpeeOEFqqqq2LBhAyqVSunQhBAWJjMzQgirU1JSwi233MK8efMYP34877//Pjt37mTp0qVKhyaEUIAkM0IIq/P3v/+d6upqFi9eDEBISAgvvfQSjzzyCAkJCcoGJ4SwOFlmEkJYlc2bN3P55ZezadMmRo4caXLdFVdcQWVlpSw3CdHFSDIjhBBCCKsmy0xCCCGEsGqSzAghhBDCqkkyI4QQQgirJsmMEEIIIayaJDNCCCGEsGqSzAghhBDCqkkyI4QQQgirJsmMEEIIIayaJDNCCCGEsGqSzAghhBDCqkkyI4QQQgirJsmMEEIIIaza/wNv0l5hXp22LAAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Tentukan fungsi kuadratik (y = ax^2 + bx + c)\n",
"def fungsi_kuadratik(x, a, b, c):\n",
" return a * x**2 + b * x + c\n",
"\n",
"# Tetapkan parameter untuk fungsi kuadratik\n",
"a = 1 # Koefisien x^2\n",
"b = -2 # Koefisien x\n",
"c = 5 # Istilah konstan\n",
"\n",
"# Tentukan rentang nilai x untuk simulasi\n",
"x_min = -5\n",
"x_max = 5\n",
"\n",
"# Tetapkan jumlah sampel acak\n",
"num_samples = 1000\n",
"\n",
"# Hasilkan nilai x acak dalam rentang yang ditentukan\n",
"x = np.random.uniform(low=x_min, high=x_max, size=num_samples)\n",
"\n",
"# Hitung nilai y yang sesuai menggunakan fungsi kuadratik\n",
"y = fungsi_kuadratik(x, a, b, c)\n",
"\n",
"# Plot fungsi kuadratik sebenarnya\n",
"plt.plot(x, fungsi_kuadratik(x, a, b, c), label=\"Fungsi Sebenarnya\")\n",
"\n",
"# Plot titik-titik simulasi\n",
"plt.scatter(x, y, label=\"Titik-titik Simulasi\", color='red', alpha=0.5) # Sesuaikan warna dan transparansi\n",
"\n",
"# Tambahkan label dan judul\n",
"plt.xlabel(\"X\")\n",
"plt.ylabel(\"Y\")\n",
"plt.title(\"Simulasi Monte Carlo dari Fungsi Kuadratik\")\n",
"plt.legend()\n",
"\n",
"# Tampilkan plot\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "1856b8a8",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Estimasi Luas Area di Bawah Kurva: 0.0\n"
]
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Definisikan fungsi kubik (y = ax^3 + bx^2 + cx + d)\n",
"def fungsi_kubik(x, a, b, c, d):\n",
" return a * x**3 + b * x**2 + c * x + d\n",
"\n",
"# Tetapkan parameter untuk fungsi kubik\n",
"a = 1 # Koefisien x^3\n",
"b = 2 # Koefisien x^2\n",
"c = -3 # Koefisien x\n",
"d = 4 # Istilah konstan\n",
"\n",
"# Tentukan rentang nilai x untuk integrasi\n",
"x_min = 0\n",
"x_max = 2\n",
"\n",
"# Tetapkan jumlah sampel acak\n",
"num_samples = 1000\n",
"\n",
"# Hasilkan nilai x acak dalam rentang yang ditentukan\n",
"x_values = np.random.uniform(low=x_min, high=x_max, size=num_samples)\n",
"\n",
"# Hitung nilai fungsi kubik pada setiap titik x\n",
"y_values = fungsi_kubik(x_values, a, b, c, d)\n",
"\n",
"# Hitung nilai maksimum dari fungsi kubik di rentang yang ditentukan\n",
"y_max = max(y_values)\n",
"\n",
"# Hitung luas daerah di bawah kurva menggunakan metode Monte Carlo\n",
"area_under_curve = (x_max - x_min) * y_max * (sum(y_values < 0) / num_samples)\n",
"\n",
"# Plot fungsi kubik\n",
"plt.plot(np.linspace(x_min, x_max, 100), fungsi_kubik(np.linspace(x_min, x_max, 100), a, b, c, d), label=\"Fungsi Kubik\")\n",
"\n",
"# Plot titik-titik simulasi\n",
"plt.scatter(x_values, y_values, label=\"Titik-titik Simulasi\", color='red', alpha=0.5) # Sesuaikan warna dan transparansi\n",
"\n",
"# Tambahkan label dan judul\n",
"plt.xlabel(\"X\")\n",
"plt.ylabel(\"Y\")\n",
"plt.title(\"Integrasi Monte Carlo dari Fungsi Kubik\")\n",
"plt.legend()\n",
"\n",
"# Tampilkan plot\n",
"plt.grid(True)\n",
"plt.show()\n",
"\n",
"# Tampilkan hasil estimasi luas daerah di bawah kurva\n",
"print(\"Estimasi Luas Area di Bawah Kurva: \", area_under_curve)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f30e1547",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Estimated Area Under the Curve: 0.0\n"
]
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Define the function (y = sin^2(x))\n",
"def sin_squared(x):\n",
" return np.sin(x)**2\n",
"\n",
"# Define the range of x values for integration\n",
"x_min = 0\n",
"x_max = np.pi # Integration over one period of sin^2(x)\n",
"\n",
"# Set the number of random samples\n",
"num_samples = 1000\n",
"\n",
"# Generate random x values within the defined range\n",
"x_values = np.random.uniform(low=x_min, high=x_max, size=num_samples)\n",
"\n",
"# Calculate the corresponding y values using the sin^2(x) function\n",
"y_values = sin_squared(x_values)\n",
"\n",
"# Calculate the maximum value of sin^2(x) in the defined range\n",
"y_max = max(y_values)\n",
"\n",
"# Calculate the area under the curve using Monte Carlo method\n",
"area_under_curve = (x_max - x_min) * y_max * (sum(y_values < 0) / num_samples)\n",
"\n",
"# Plot the sin^2(x) function\n",
"plt.plot(np.linspace(x_min, x_max, 100), sin_squared(np.linspace(x_min, x_max, 100)), label=\"sin^2(x)\")\n",
"\n",
"# Plot the simulated points\n",
"plt.scatter(x_values, y_values, label=\"Simulated Points\", color='red', alpha=0.5) # Adjust color and transparency\n",
"\n",
"# Add labels and title\n",
"plt.xlabel(\"X\")\n",
"plt.ylabel(\"sin^2(x)\")\n",
"plt.title(\"Monte Carlo Integration of sin^2(x)\")\n",
"plt.legend()\n",
"\n",
"# Show the plot\n",
"plt.grid(True)\n",
"plt.show()\n",
"\n",
"# Show the estimated area under the curve\n",
"print(\"Estimated Area Under the Curve: \", area_under_curve)"
]
},
{
"cell_type": "markdown",
"id": "e82bdd2d",
"metadata": {},
"source": [
"***FFT***\n",
"Transformasi Fourier Cepat (FFT) adalah algoritma yang digunakan untuk mentransformasikan sinyal dari domain spasial (atau domain waktu) ke domain frekuensi, dan sebaliknya. Ini adalah alat penting dalam berbagai bidang, termasuk pemrosesan sinyal, pengolahan gambar, komunikasi nirkabel, fisika, matematika, dan banyak lagi.\n",
"- Transformasi Fourier Cepat (FFT) adalah algoritma untuk mengubah sinyal dari domain waktu ke domain frekuensi, dan sebaliknya.\n",
"- FFT secara efisien menghitung Transformasi Fourier Diskrit (DFT) dari sebuah sinyal.\n",
"- DFT adalah transformasi matematis yang merepresentasikan sinyal sebagai kombinasi sinus dan kosinus dengan frekuensi yang berbeda.\n",
"- FFT menggunakan algoritma pembagian dan penaklukan untuk mengimplementasikan DFT dengan cepat.\n",
"- Keunggulan utama FFT adalah kecepatan eksekusinya, yang memungkinkan analisis cepat sinyal bahkan untuk sinyal yang sangat panjang.\n",
"- FFT digunakan dalam berbagai aplikasi seperti analisis frekuensi, deteksi pola, pemfilteran frekuensi, kompresi data, demodulasi, dan banyak lagi dalam pemrosesan sinyal dan komunikasi nirkabel.\n",
"- FFT adalah alat yang sangat kuat dan penting dalam berbagai bidang, memberikan kemampuan untuk menganalisis dan memproses sinyal secara efisien dalam domain frekuensi."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c75add27",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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