{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"# Sage 9.1 on CoCalc\n",
"\n",
"https://wiki.sagemath.org/ReleaseTours/sage-9.1"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"'SageMath version 9.1, Release Date: 2020-05-20'"
]
},
"execution_count": 1,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"version()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[x == (2/3), x == -1, x == (3/2), x == -1/2*I*sqrt(3) - 1/2, x == 1/2*I*sqrt(3) - 1/2, x == 1]"
]
},
"execution_count": 2,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"x = var('x')\n",
"eq = 6*x^6 - 7*x^5 - 7*x^4 + 7*x^2 + 7*x - 6\n",
"sol = solve(eq, x)\n",
"sol"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"[x == (2/3), x == -1, x == (3/2), x == -1/2*I*sqrt(3) - 1/2, x == 1/2*I*sqrt(3) - 1/2, x == 1]"
]
},
"execution_count": 3,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"show(sol)"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"plot(eq, (x, -1.1, 1.6))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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TbUhrOtt9NKTzOg7nR1+kmZ+SwoOj4e5Yu6R0aAZkKNzJRykDLAfyDpru2nHIDRy1IwKis3erz60E60rqxhXaLJpiNHHdG8tEerd6dAc0JcOU+Tll7U7zRsO+l2dD/UDhATRLXvDwYu9pPbAZ0aI2CvAChAUP03JTHIEkNJAUBSBEKw7hz3Y3c5w9gA60RONJTXAjB+yRc/ermN86nyUqUzurPNfMYcpIjXq6M7sZTfyLdoDJ6tWEHgSZbzgyQLVpDbbn86uC7hw4H5owDMJIZnd82vLj3mL5rtJY3+wBCb17x7hnhDzN+Epchh3Tn13k33K7y4CuNd3n2RhmPbxnbhuI0OnVTHJZaPLI/w+Ka0LvnbO5T/Z4M5nFfMzDFyD1+4zatFcBPlWboxQXr+XpfJEmOyOXP5SHwY6byAUvYMuwNIAxBzOY5EU5FM1mEcywxojizndppmnivB5MZV1chyB0nwGZqQluRB+UmZnfhth28JyYl07LS/PK2I9W9AcdXpODdw6IbKqsgdYLE3XpzD9pT5vUtEXe0TvybcFrnBTNfFffzQAOq7q6YQzp2REDFs2cu/c0SyPzW6Z5qnhEPZJwfgJeTPcAiXg08gt6jZLRs+mvgW6jE/P6ltWWaN5qLpOGZNXNFmK3cBEWd3wlhOZnFey18WDbrBJ+1PABPGyVltV+6Zdq7clj01lfl113NdPN6+I22evH3k7+UEo4JdTlV4I4vjHvvmmuB09NRgE2VLOdxq7Io22JzfJj+QxYvRJwojoYDXCIgENnIOeOeR+YRmlUJnMSJzMcgSz2TVLA/WKMWhdRl7lh1Nw0dxRMuXIsz5AM4Yg+mxIZ/RXyHiq8Bgfvy4FSdOKOfKC6QHxw5SeO3RLSAKD5F3I2PNVVqdBqvoEkN4pK/3uahHSN7n4BpwE0EW2Wtjr4GRYX0CYZtwWhZgbRrYEnCidI6ZMRaOKRpmUwNM9t7xI3kNgyHof2NtK93Sh0C1G7VqT8aryCZoYjBi47aodyZCQRssKykf/qn/sc/up//Tmsem51Rv7Bw72WyV/bUHOj/H0fTMUy25WVu9tBlOavtJ2x1H8Rl4W4FlvKrwINuVssrhSrM87LDPTws7flJz4NANL7K7l8APvAKPJI4hekl5V33a5BAxXLaxueTKtkdWRaJZYlDJI+cAC0JPVFn6LouH3Ed2mhETP6AhUbSdYmWV1hRuvANDbyW9IdYJTljZ5hwxefwVPiQJluGt0lj+ig+0OEB3TwbpvbqwAlL2zGZrdG15AfQFEox2nmYeDUAgkxAWTR5iutjSeW8angNMogyPgVRAvpDhBh7tg9Ak3Cd7QNURUN5JQeqa8QtolonkvNaqXOuBQ60xxrk4J2CXbu1fZecQ70c6KkL1hZ2aiNaHGhc/mqoKO87rVHDZi0V8ZZUAC/4/d+Fr/jX/8snj97G3/st3+sVUcFhdNueGdztvV/8rYl1tPtvm92i6IwL3NEu5QDpWzte8gT5UGjSSgzki+tPj8Hc43Rnkzrv4Sjeurrxt1FQ7rbZef5F5n0BjtbNOfFsp2JT5DusJmcOQqO7kWjFM1zzB8AU1rG6OXLt1DX1j0yBCedlom7VBJ+GqIjprmR+W3mlzQ8SmBQZgqmkjwkPG4reoDwID5L2WbGi34ElFq5MS2CKXtOpk2KQjBPN9Mc83C+pbU8hx2/BWiAxIWddNQcWb49JEtbPNKML9MsKQiLqAdH7l4EF9aCcSQ0W3y8Co2QjgJrRsOCBqSi+S0HTNYk/qCP5wlGcfX0WchGTgfpbo/RNhU0FowVOEkwb5/r+hioA1I+HirOc3XFfvaNGx8dYGVSEQiNL3lxmf3n+EMpzd3Vv34f4hrPYr2s2OJzXqP3AEpD2gOjljfWLLXHafgbJO5CNDFTs1mcuEn+0JfpQFlNyrr2GF8oG2WFBNoHAY5cmag5KnLp6NdwSumRX1NaRkjEylCbFOkzE9xImxSBUQqmRvzhGekwj/ImZS5RZMKmQLk/VHigr+G24KdbrwHqt0/tys0cu72PUl//zIeJ0wCaac52Omn1Vh5KL3Wi68Zb2bygjjTR8l/UJtltDygBaLsxeq3SyKk7S/MZUezDZKCJBRj3ggM+GS1JOwHCooBpPUDyO4KNvf/NLGpZurllgbEtj1iM76bj4udmG38oOGpbNnP2ggwS1qaOmTpo3I7YEqV77g+Ug6l2v1Rb1POvVKb7G7jmmWYp60uZprSjSvm/p+UmtxZvdXqejC/7w7DxgHhKtE42fySAhi6Mu9GB/D3NEJeN4OlI2VXaLh5NdwDJDOqhqFW6GBwtB8rsgaPsGQFkpc7bkW7CtvgolQU68k/ao9c8vVybNDxnieTZyC8pA1OvqknKLtg9bjV4mPBgPkuAB0E0dZD9iO7ItwmBrxdU+9qkPTMcmIekUr/XKFeABbqtA7UHqVtb0n3lptvaaYRWtwLdoZQxjTJj9/yVrKzFJUlX/yUlmj3HgJKGZkbBEehDjVIASJ3PUgFJSnGit8P41DXVtaiuqhYk3PeC1v/8goyLN1vQ0STnnL2tHUndR4PEhOR1sUKQBU1XvuZnb9bSvW+RjUIso6GMv8bACBfy+/ozvt5XKZsXmdaoj2V+S3uapTY8B8xuIq5MlJfCz6vd3ibSNs/8ruN+1/JVnLHrFcvrfl6mkXKAjOvpJW0vZwxsRNkyoQeAcqjM4a/hWloTfydJzHBSzHAaf8KEuqFpjjTRKOUaqMwEdxctU6xrZrJL+WdTZTIFR6AJdO8W61Gh/grhgcGSX/QzoNRtfh3tiL8SgZ7QBoQyzNPTtMvP0vU9yxED8edQOm1TTHN9Okk75+5Ql8246K+kmIOktcR5cEy7VHf6pc3qUTiiUeocvRkYtZmRAya61K+RGJfSL5eso+zNeKHO4t2eUrqDgVNXL1c0CFn70yI8+SNfpEvgd3Gb390bFkr69oEfVCYTfVxGwzPuyp9rmHxvCfI13/dy/kfVFpvJByGOkSxq9LE/UpvD4o+/MnngJhmn75jf7XQ75UcmOeeDNHpu3Knp+a6XwsVHAIw0RIe0TZm5jfmXQV2RHrVQM0BVnDbSZ1s3S+taRQBM5T6gT01wF9AzM1vEsnv07BndVMjoSR6k3fvFQfd7Dq/xnCXAhNZIWCCkMxqoHAZ1Y0iLQs63Nadp/X+hdAvNJLgV0rZmNPDP/Jo6Xkob2WmTtDUqClTWGDEvz0422xldUDZOofp0MnMTYdWlCxDSkK7CxJZgBExa+jb6MpVuDlft/jYMLr0XdHCPNJevPa12l7rXyKbNsH2RdRbE/gsVmTBLHyCz58bGtnQ0v3n+rneQgSkNab6OAanV8TNwEldma4HUiR27IMqCVuIIbw+OckDmywC9TBocE+CGIO4ycT1Lv/u5roo7oQb+QX7qc6Tjcnt+Ti5N5V1nD2SJhF66SENk9MS01vkvZVqo7Iu4zIF7xM80munahu5SE9xdtUmXaJnqc/Q4Xff4s2lTRtbFw/DFX695iPCazHA9uMkPXtuncVrRLMBIeFp+oyFJb3xeIAIa/GFcAjas9gxgA0lLIYgqdC1rxDjVP7+FKByVNEmAO1uJeTltDXGaJsoTwB2Oaf5KEvJqxQLgjPZ5LeAK7GmUanoNtKBN0hZ3Z6crmeBCX1lzQ4uSzQqhz/Ogk/sejRV9VVBQc91eENsSePdC9g4aGLJ2dh//AAmQ8qJLQhpgENKLug9WY+RE7IB/Dfztf17DTVJkYdyjfi5FzZJ/Trv3h0vGuvZ8loTqqWLmg/BHcl06yN/VDsWyeuyZaT5dFsQmcNwdWZ5gAnYO0LHgYn+k6tdEv+MGqfVI/et4Cfy+jvjFm4JwqwTNkcqAnpvgZv5MM/ph0ET8cZhnU+oS8xuAbhupQ8bDBbrfY3gNYGl8BIC/lPJHtJ7HhI1iDpwAbkMUYm3FWhnO9wK45dszHb/Q4ZULoKs2wKRAd3SAPVtjvBYg1sBrs2wEkgQ9aIpmuyjUDETVClZ6ZjvDx7fT0pnwYROcgSCmN2A00zD1OnzUM2paY0Zn4OTtjc1nGt+7BY2+O+Me0m0E9ICMnIXY/iPlKg8tuq5c6KTex2f0A7YtLo4+A1IfhOktAiPmXUOa30eorR6oAJkcOMbX4r15rpd10W9pfFRAo7V1LumOE9bscAcL+SOzm/NZSuqemd2GmqOsHLUzAhpLHzpTCQP6iD+j74Gm3nymGQiaOHD7+n33ejcxTTRHUsWxp8PRMzC1Z7LTCb9O+OtzE/pRH6fssr5JQMFwejxEeM1muDFQisLC8hRu+nVpuPrHwAkH0ooGdLY6lOIWa4O80LtCisM32pYPaAFMwPALuJrUQbz8Vxuh3AA4AJWqOcoLZqY4a2w8b6l2aCnMM3mqUTr3s975K7H5LQKjCJhK47qv56rdsbzrNuJ+jh1YT7H7k3h2Ty/1QslVzRJhpy2xzbXYjhDJ3pX3pJSfxtjP6tjgDLxYqbxnJNA+OB+mtZRZO95eE8Y9KCHNc0VC2t55zDeWJ40z4+G6MvnXxjEcFTB0jrN4zI+7k4YdjHa1NZYPedOfOxnkZeDJnPlWabxRfthvwLkJmvB8oPTLQVNuhuN6Isjqu2em8dnTKO2Co1B3ZrLL2pJqmeKQ79CHfkzJ9AFNnRriEFlXmtLOeB4gvEYz3Cbalo4egdFlpjhQHUh4jGbP3p7R0kj4rU4jNOGfp32cvpIz/iXwusFWuvl6AKVZRXwRJBmfXQ4YUbz7FVr1Gqa1lK0AygSXAmoms+zVo5A5U/pMQoq0ShrSWCDubCWKd84/Ct4Ao0kuhkhLR05z+nCfoK51Aoebu/tQ37ZYJG189j5RvlN7h/z2RJsHRGvze7uOaY0Q+PMyERzd5dRuHfC097S4hHQDPdQbyEPu1A1Ha1wsiyyd8bDMa+US8NTtKnECbhMu/dHceA5SZlobgqdBnlLeUHOEgU3G8sXXG3qlqg4475W0R5fQDeyM/JoWiIQ/9Uc/Z0IaKOefREPBOHWFXHZ8gIyBFPOO/Jki2HF/6CW8oymkg7qn8jLQYfdsOCwdQcMDhQcAS03IKBgMNa3P9v7HTXEK7i+fZgCmVC8mNBaelt/yWp0xXtNObqqbHCxUhUxyWEofCAqiVDfw6pxXtGWrr7PGtfHVNKs1MtNbmtaGWRxQorsSBLaZXZskQP2JDRYkDJgScFTTpk0yLdJK9NLIFCzZmEnsSheOrK24cNO4elrarUZzUmDepgFLx7hX5n//rz6Hv/7nPod1JVNp2BfSq97a285P197j9dfl4KhtAznvSvzt5024jX1P5b3nZcIcHM34fPoIONp4Yr4fFvGvNHPa7rRDIT8zu8VJm9WrmICgpM6hSc6eqb6ObEI6W0uYvB8E/VVMdLrAHwnAvKyBKnYNLbNfxA1T7Y7aPTvHBBCvDYliTI8AJv0KTv2QRs14CoIijejd6gz0TpoI3bkr+y5PfS4PCfZXDA9wKKXU2BYEJlJZMCgiYMzNbL5/9jRKSk+cg6SYNv6W5/NR3mKhVCvH72uTgjRXBpps/2fP8QiSXDTk1ZnG8ZKOPkidr1JMqwdJNtMX7U12AnSAqQq7sjkrxasQmmuStjozwOSkcHn3bNltI82AKVtXWeCFm9GyeHfF7uVyXNh6RYkUHx6D7ACk8KK/7fd9Fr/t3/gsnj99G//Jd34sfb+6hyTvnb/pESDVrvzogbwXj/slVe+NlJ+/gIsfA2yvK/DvEsBIpeU8UTYf49sDRz1Paporc3p7rbjzxMk3yJ/aXeB3bpYLHT3Jc2Y27dtSQZPQjm3rloCKm5gMYODzPwit0kVgioEQ8ya0WkekIwFCGIKVDAhd8iVcZprjemdAKtY90xod0SZlFlyUesFDGzVHiX89fUz4IEAJeACw1MSJhQaUaJl0gMbTe3NdpI00Sls8B06WN0qDyoPyfbylOZ/f13dHM/9BSL0e+YZ1aEtqSGdxm72g+EiIxtO8F77DAykBNlMc1dVeEt7cVrRKVbtkaQZLDKDY5Bb/JC2NGWqXxLr5TqF7lUAbPbUTFChCJBSum13ynCzU/SHj9zI4BVP1nu0LlNfqigPqzVnHDpPc451pmLq/VSe8vgw9b+RvAAAgAElEQVQfHdA7qbd3kK63etADSsmAp933z0qKTtvcr3Kwjm3N2GuHdTz74do6GSd5Lk35EThV+iDP2pKZ5JTSTqPE/R13xQTAXAp4Kp19iUzzs0zoVEd6ovcANAW6atkVwuGTbEJjcJQBnj1z2wwcMXbNANYMSKXTIptqkTfQu9Wq/RBBMPxpveiv5KbGA4UH1CwZTDE6YCY0FhBw6SY0FL2GKdJAZVpeawXzA6AynM61S1YWSICSZCApivXwkwsEmqo/FDlsS1IftNShgW/o1E0CDCEdHbo7X6USd3drMI+atrray6EBJlC83A0gKcUNjUVw1GmWtD3T0WwelLN0NPll9gtCX3vaiv7iPSM006+AcXBAJmXAFCD591C6G4fkpjj3/Dhz8x6RXT7t+D443tWV0aQsr2ffY14GcF6UC562/e/TUZ7kPF2Xqze9QcYAC4rtp5fcq/FOFPN28jPtEZdLgdOgXNQszUxybnF4qd06+1IgtPT0Q2a0nboJTKkuHa8wQKI25F++iTO5bV2hHTiqJjf1XVe7jIbA0ZmPh3TA61ZP4OU6ZiBopk3KzHhxagJNkvBHj51f0sBfyQ0f7j88gGapeftsE6mZbzYKYJ/PC9EE+9qkmb8SC6jGs69NsjTQhGWj9dolTrf30oovwHni+cACUgBzfhIAXjUyjlt/ASSgAC+wjNgJTe3NdYreDMf32rm8ChTefEjCzwEkA0xriK/w2iYGS1GzZGa4XgPBMyhqlmaLqdtj6BrxZDT+I7oKm9AOV5jv1EZXJDZcBrzdTgw3DFG4pPWZEEobuV3RtHb0iIDjvkkzzZHbDly8N7tZ3aC71PzWBQxqlKh8l0DTjufYMQT0LOV2eXDE8s0PGe0w3VoGpnaP4cE6QLerxnJxV7wEODm1RlKOe2DvmICLzWuZ9ufSOpgWNVDJ83a+fONhi0DoUo2SA01UJ6+Q9EiBhKb0rHSaJNNgz2dppGXKwA6b1pxfUgBHHb3UF8XsfYQHBkuKDZKsRAMa1PFCwtJLoOUapjEwstp9/86Bkv9aTmtrM9DEb5f5MSFJ85awQOuHZrIEACRcVGkv0J6uldBmKIg/E7LZl3IjrRKDKAnP0dZqL4Si6S06ehNQysBRCorsednVNpS2yYzD3iIbPSW2Kv1LyoaLGZPghngWJPD6nbSrD6Uddu9U3ixsuo5qjfagJ75Q5APxzvh0lw9YMQZcETB51YVvi70myxtaY13f8f9zENW6/7hjt7/mjt0SntF3Ae/E2muIsjXPeZ16IeZp6ObkeVM6EsBFzwDaREwBCxJanMQZfUfb1PFmprhJedvVozmP/JS0jGg0l3UYkrpnT6M00h6NtE+ON6FdZIKLw5g8y9HjcGudyH6Sj0xvR+h7Av4DDA8ElqyXFFptPNtd61+Gm2BgLZMJEMD3zSUaJkUPpDLghJqe+S5x3GI+rwbpTXC83bRQnietDjFzXGVRx89xyXicWYyFZBJfmK6ow5OBJPNhcp6m9AwEYFSBS9yVSZtUhVamSdLyXnEzXJGDpbLhaH4YZVxXcSSM9kpX2FvSh4S2DVmowXU/MXoiJLI/zOP3alwsN8VtY8u/Yzj/9L/R5l/N8QoYAGAcAVK9Vikr59vaOrS1FwndUkpxvkug7QGk/ryvylH7uD/mJKujvdpgZ4r5UaNjeSk4QthJk7xYLgKk9BwlbkdsN72xxWWQPgyQEnrKmwGcjLfxSTXF7Wmryp/qKl2Xs/Zo6xrxw0Rd9oGY4QJfapoLdWZDFv8QHPksZavaaMBgqBJAZHFnDQ309Iu4ew4P4uDtYQgAhJ+yKJomA0paYJOVNCG/HKDtaZjg8i9x8u7NbprwVfGuiR8T2YaiZsm6qsYXL7Stnl7YK+EkRatKW7GRVkkVOAXaksQNJC2FJuVdnGluhTO5mQaJhSJWeM2SYGx20yRttLgU+RLqg+PrqMrvhDa6YssyAVIrCqHLirsuJyXho7TbY0Jew6kbY2eKE8deAZOKwgNS1PgR89pR7VE8cVsH4xr5ojjW4bM58Bri/5mOAU8OjhhosXzxNOnqEKBpk0t+dQUE/xGENoi0ft3QlN1LuvVdylY+Dd2W7ZpUrlOBAEOA5Mx4lGft43OVrGfi7hl3wTtrkEaOLQZ2mDepd0BzRtJUq7TtPkrnKY1AD3cld3PUHmVAKAVN2oYhA0cRSM1McEfA0fC0iUiPW4CgAZ4MBEWt0chfifHqA4UHcPBmMxyALl1VGdhA1JZncqNdntaDoh4YeQ2TP4Ry7r/Un9xteda2PM3CeaRZspzGB1gjdQNMFg88LNgrXYkW4zOQxPfTIO5AEseVrlKnlGWmAig5dseV4nyYLF0Ac+afpE5MlHd2S7pdav2kkLCK4ppKRiDWltKyK2lh29+4ImoL7xlZcJaJjFfgtU2Wz1d4R35n5mkaqdAr7VPNAUDimu/m7D02rXlfphkf97yUP7y4fdlMyLRHW1woPucR4hHiE8cVANKgjpqvNq6862jSjUn+muTFAykv0S4xPdMsRT+nuBAMEThnGGkX95hKWRgMbhLQsgtwloR3T4Nku3Rmigs00ioppPzEUl/n9qrbLpNpihjgHNEojUDPnZ296TndkPNwh+fMaFwv4/sUx84Akw0Zd+mCThtVhxlNFt5neA0+SwYVVni44bVMoBy/B/QgSQv9Lma4CKKOAKU90KSBj98nvts2sQpdGs8CwL5Sk516uvjEbNeiNquVXj7EDRgZjZ29DSgZLxRYTbtEj7LV0gk9BkOmhVoavf5or9PtI9U0YQGUN6+2EfE9CxruFr/0qoKD9wX19VpbIi2GlIdeIjXJhZd0Jjmg81kSKuv9leyNRgDJX5f5Mx2va/vDqetl4vP5TGvtyLpPA026fO6OS3h4GKL7QONIAFK9pIoAO1eJhEToLg3pZNeLWiLOq/nZ7p3Qjd/laQ+2OsCkyU5Lk5KBxqWapU6DtCS8GY3LHwBSaZ0bmNJQnrVKW7dJjimzbk+G6RKahvpG2qNDGqWMbzDN4nSqK4y7kABOB5govxuyMMThnM/2HNx/eA0+S/xaHjh5fyZfqhcsW/6lZrjouM28nJeBqCxu78BpAGUAE+2SenqRjLU/uG9kAaSAEwl117gO4uCZnMRPVKaa40qcwdKJ4svgrkD7LbczKlhj3JsJILeSVjQTXaZpUhxz9qYuojsH6ybldJTnkyvRf/n8IFgOBylzNDaeXkKCMHIvzPuOvRvtS20vUqj7U0xhO3MHfup/7RJhnryXLjkbyeIjExzAjt4MklZoyVP33NrwrIsc9aiGiYdCiEcmPNkP4vryHkCB87tJqUk3z/Inu1rULlW+QZmR+sPKpGALfTyqG9wuuAdQLgEzRhuZ6OYASV2dG68Mnblb+c2Z2/sqNYCkiQVTOj7uUj1Ai0OSDeHsq7korzqlI/NZ+UiLUy7brFnU810w/vptoE1KHbwzQf8Bh9fgs8QapahdAuWbMETJ98LGpqfC+rL/gs5AVh9vGiPO5zwEvqZt8j990vIu1yy1mI/bhFtUsSxlH4s/bjurO7P9xHxbEQySToFWtUratEgOKGnDtoKC7KSsNG3tGAnD+tfgmeKscVrH6UrvdpB+3Wgk9Fm1qZaWWGsiHAKd/5DnPAB1bqZBEp4gBKLva9yZLRkFlatP+nybS7xC8zdsAKjN1z2evLeOa5lW4hv1fDV0ONCU97WU/zWhbrEW98CGS3N/Udd2NYy0S1GGeblPT+RJmU4uDV2xk7enXYrmvNQWRPwRIMXdm2l1MYT1H+XCHhiaanuYloGhzERnZUemt0GbRCC26xSAlWmQRmY3162ctuHhcgdoys+QMIwK17YRLTWtDfjilIpyk4c5aoNSEHREm0RD+JvyBO/cZ8nDA38HmgD0ZjmFFzBWmwdNtunMzXIaykYQpV2e54taKMsDetB0JI5AB7RMgvKugu0v+ipV835z8U5olviJ+KKTt9MqEW2kVaqAyUagNFa11Qkg2aXhVOdaQBMWbBqmDDjRMg4gSRA2SJ2vIbfAs4sEgttXKJ5pltKfvMpCaFzVGPW7c65Noh1YQN1bws//5Ofw8z/5OWj5bbi+LUrVHTWzvSrPOuEZa4/yejatkuWbd4itdw+B/Ds3WuRpfcI5fkgyLRP/P9ceZV/3dscHKCYmOA3dxjuZ9pqcTh1BdWZ5qRqC2rAO+K2e7u8Zaq8LPfjwYAhDkNIDnyWUDyAn/UHcBePzkkZ8EUhtZTNn7kyOuC6JaQywKfFF81pGy9qRaZSOaJkiX2aagxB/XBgZuBmY4xjz7mqTrM640O45vCafpdXRteZ7Sos1wLTRpAodE4sjYGS+TI3PAyCp8T5vBIxa3IOrQ6ApHCmwsbZ3qTRpcZHyHGnClldi9tWcj8d7K1sBkdMqqdcuMXCy1Zlpm+KPndVPwsKKcELRhB6tnOqrlPktDcBTeZ5tuAmmSAPL8VDbWKDQPQVN4usZBgY7lOYGOxAlfbnalcwjwG/9/Z/Fb/3MZ/Hi6dv4k//0x3yX8z7SvbX1X5mNMs8Ps/tCntk5Slk9vR9T02DFv3HTrg4xnfJs/6vr2sYxN8EZRLI64vBl5SWUb6+poUtkU+IO8mblWlfaxLa0tDJugkvjn9Gddkn9YmDxzb10sZltoBly5aPpLYKhEUBqYEimQGqpz/BmN/KaU+m0SqvK/hdx1m1U7ghAmoImCcN8kJb5LQ2/eKORdQeds0gPQ8Ni/yJwFOq06TST8R9UeHCw5FX4QH/uUpZncatvq4fPZVJEYOSBEOf1QCl38lZ4MDSLxzdkur0vi/gRXYkG9EBo+wJca7cKtMwUNQKVD2WBJkBPJV9BgInyonap+i0RLR4nUI8VaL2RCr4hWGKtEoOmEUgyul+2vCnFEBe5JvQIw1i9vc54QAJLff3D1dzvwvXeaZuIV5IudeVKOvdZMnp8e5tve8AFg/wM/PQ9NT5zaaXnrLs82dW0Sjz3hf5neg6Qoh8T87S0dvl7AChqkDDIr+utxu3VpeV1ry7wuyZoMlpafRdmWqmsDPNfRKdnxQmagqEgFw6BqWC/cXUu4zoDQMqfkWmVNj6lutxrCwOkBojiH14R5BzVKnVDJmFIdTDkoZybTsR3qd8SkMghGooImFJwdFfARIuvAqd7DA/q4M1Gpg2DM5AyAQzi6eMNNEWgBIr3GiOpceBSoNTg2TjO/P124zVO/DaRN/6vAE5EEygWAWRpf802fybdLFlOoDahq6qQU6u9apCgNPNLvANJWjHM0BRn9gMB2recdPBkvNtKiYLJAaMIlJjmdwzeIh0WqP2dBxMS3f6DsO8oCbog5OIf20MznN99W5sl8MR42Gvi/lP3B4TutXeMXV/LaYn2s9b37QeTv8+zEs8cSCmVUzQgF2YBpX3XjgCS58t5xOXkAMg4W3qsYarltZWXbmJq6LJkB+zyNEzkuNty907KdIAKyWIodTiQVGiuZ0paiH7UPykzsw2BjtEiIGraoR5csRxq9WkC1qJWaes6TbRKvltGwEpDuRlA2gNDIy2TW1EkpxxAoikXwVE3xXhIDfSMNEoZELoQHGl8Buh+z+GBfJZYiGmNMT1PM02AApRYG6WwDaf/S46Bj/XvCCix31Of9mY4oTjTFT2AyuN5fvu/N0TasxYAWn6EdymaHPvCqfZX7TyinVjYK90Kf9QuRV8mFtamUTqVVRmdvu2wmLpzn9vKYsGpYRUgCitLn+Ak8O5XcfZy8bSlltNd/JpRqPCd9oUq+MTTnGCJuyMoLgMa4LRDDihxnXHfiWU43ZXTwtbPSL7y/HWSvyblo/ks8qyTOlZXT+NbXbptV2l3Omqj9/wck9o/sU7m7I8RsNIS8v2w+XwJZd3EdN3FOxlPWqDfHbM8DRM6lDmqdVojfymTnamEEo9HBOya1MJu2gGnxOaTqS9m9Q2/bguySDxPM7tJ0A5JB4i4a0emuF2t0oSHh3uqeYptQpN7R7RMblhBgYfuHgATAt1pojLZek/hQb+GsyHa0yjNfJoaZwaYeuFjednXb1wm1yZ5bVHm8M102zaOASaKiwdHTex7s5zrAdlMcqY5EgCsFZLC00Loa9Iq2c8ugO+2QjINEpvhTuXuzl4qq1LWNgjxiissA0oVJJ0BnNCd7u20S+Vd0Da4bP3EHkkvpSfw3nDgmtnzhyEs/A4okQzXwFvpsZ7A5/4KBCrA3sr1vTADUXtaojw/B0iNJwLgow7fsRx3qs0DngnqOMSl5gCp8WaHTHoed0yAJvkSQRJpmDSesQS4XTfLy7RLme2ly1PfrVGLVPNsIaj7u8UvEk0AE9rEqzsf0Q6Z5MLOuqtFsrKsHTLZ0vg0AUjCfMmBlmr+SlpmutCMtC4jv9QGiBqI4m6eapWo7hFAurMZjtsNjLVMNPWcpKWutztj2ClgymgTwFTpnLYhAh4EKAEP6rMEACMNUkw3WqMwyPI8G9daKVJirb8bUIpfzo21Sx5MKTxIGsU11HmpZolpoPjJaEJ9optJblks3d67muRMUlONVrZ1o/Z3ndyjZumkG+2sXsOkCzaAQ4+uLxt3/gwoneFBkwGkTO+TvNcgDPeh5Mr8DPg6Y3vtdfF7SRQuYVftwAwQ8rN4Uk/qu0RChP+w532htcvtoIdAUg5uOD/X/L26P5NpmTzQ6j9wsA9ApNJyeSrUldrlCBhoqaMzZ6NpKOvz51/CFX9EpfpHJriReqDmSysz0iIN8zRMcmkTO/JGDVPUPtnicrsdKB4m70W0ZU6LqogB+PGmtwEtaKS4i49ojBhHKkKXxXJJPZ2WiWkkn3TAY3XlwK6fRtlvylVtUhDZDtAsrdtr10WMmyn9RorADFzxc3laPEB4UAfvJrK0/N+0Qxuk2dMo8f9SyjVOTgtMbLZ7pkFq+WNfJQY+ciCuVGe/9YzBEwINxIfkvj20tFXKIZb2XolWaXiPIIlNcdl9pTtrlixeJcFKAhJeQLsVtwB629LuGAHSLkXQ5DRLdrWuiYE5XClqlsl33pfcH81EOzONBZ1SPQxOQqNszqTgKcQzUDT6Uo55I1jy9bRemAGdMYBaJ/nrobrnAMnXs9VlWiYr50fX1nkWtjwJZWI+gMDTy+MeAHH5oYYp5EvId893646vSV4Gkph+9PiAET0DThFYxfp5R3NoneLdzkf0GV+qagg7blR5dIAopN0O7rXdY9PbBCARrSvDXRm7lnheyXcppmkKRR6mRc2TWynU7U4zFMDTUHsUwNGQxmW5Pn5GkKn3GR4ELG0d7QWbUtxT+nTk9UAp/t+Al5TSLIgUBCiQm+S08s61S0Jxr13q8zXJjzQwTbe7fcEPaNn4AoiU1sOyFOfv+uep71MT/DVNIEnLveY7gUz3Fd4MZ2mLn5WAU+Gpvxu3wCEJW20s2PS23O2ruHOJE1BKv4pTeJOcD9wTce/hP7CHgs/oUTgarXQBCyR+bgeCBpdQ16SgaKeubR8q4y/SmfM6Mx5sbnc9g22+zPOA7GdJLH/r2ctBVORp481ASeG1VX7shdIsUTPw43kiwGn03g/JD4OBJPV0ycv7oZDaXCHtqMZJyjbiLC8DSTOTGtc1M81FeqoSobXthsN2PsnjESBlgMiZ1QJAcuCK7ULMx7ahrT5JQJNKMcW5cl6r5BRrUVboNjv3ANFRrVJ3SnfCM9MgHTHDHfJRSuSMA0MR9DwUYCrT6yHCaziUEnW79ylN041XsAlmzutr3O4RMPUCymhaab2mqaVzLVLUHAnFfT7T57RToIHzdANMJ8o5Ga/Y3NlO/bZNgft1dO/6W4vAHoEl1jDZKj5pcS3SRrejBGz8dG11VBoLJgZKt2gapnKlP3/Cu0Ot1YXszet+wvsCCzh+PaKf1bWoXav/C03t9XjX7XffDrh0tLirkrDqBZgGMGQAOxN4WkC1h+l2HTfH8a6a5Weaqq035yBqxLN29fDYt8ByI8tn8AKMtVFzh/As3w+LEG2mZVIbltZ8laL806SbbbIleUc1THHiz0xwUxqla5uSiZxplhzQGezGh/nCTh1tPEPN0oJO00Tltq/epOvWmRZpeI5SUkZlkKah6lzJiGemQdoDUSMaTzM3oUkBV8FL7PaBCe5eANNItt5DeOBzlvz/W4ylg6AdDTACUTHOZRrNdmQT2ErcPPZKNMXYjynTKAnRmFcH+XcFTKeQZ+9lQOkk1COi/udRqP+cwI8/mRJNcTwuM3OcA0yBdgbq13F1Za5+FVbByX89sinONEtriEdtUrx8GHHtWhwQzG18KXAW8lmiruIeHAEeFwY8Q/Nbx6t9+aU9J4Kl5rfke+QykMTXzN/JvhGK+RFkzQCSB0nq0qNxb4fX9p3tRigMAQ+OJvnMs5/fD2sBQbQ+8xO7te9mzovg6VINU6ox4rqYf8Abr+rckvTKyLR2kT/SQLuUapvmmqWoNbK0OrAl1OXiuo2V5Blo4i7f1SoxbcQj1PU6GJYoz7JpMZB5Vh6lHEDDELvZ4jON0ghESVJujyZJ/UZ7oPDAPkuo8e1/wTZM2521SAya+tK8GnsB2YASqP5WkgWXgZoeDG2tMNDE4Ifzm0j3vKbbUqL1W0mktbxFtFi7CDDZBAYBJbrXz8ELYKrmOWiZcNofMwCOh3uVCIWW+Sw5exTRTMt0q6hfxQFbT9fHkiCrfg30p4s5eashryKSooYJ1sZ+Y4wzZSjcgO6vvjM2MOQ0StKcuutd2mvXEPaA+v79zjkGUkd5pQdQv/ATn8Mv/Ok/AT2XnzsJe9TW/X4evJo5zmb93bRMfvb39RjdfJZ681t09G5ASUqqdW0/T1qHAyaZ+iFhyTw+dHI/v2mRzKnbPX8GkuLXcHHnnoEk3hE7MET8Iz+lI1qn+IGFtBHYB0kZbenLOXATeDJwdchElwGr7c9o0yzxEMQu4CFyXR67KaQ7WSTU9ZFHw/AZjeo4omXqeODrQ5UPPUDZBUMJbe/LuMMgKpRz0+UBwmv2WdI0PTPT+XJeq9TAF9dsYYMvgB01EDVMx/2WIv2Ilom3E/vbZaH4KeMXMrMZjzbeepf+jZdyyrdtKpLw5Hdb+Xwf0NZAi1qmswKnFe38pdJ51XnbzG4k/KpW6VTyDTCZwWsCmKC9sEYQYuj3GxZGZ2yCpD5JCSAhN8MZmIp73l2BzyWgqNHE0b7th34Y3/YHfxgv3nsbf+abP7b1wRLKA9tOrRkY2vq2aXsyoONnN5fN/ZW43lg2A1n9M2N93nephZa2F1XK6wGMBB4fpNaZDUt8Rs/TTG0xn53bpANJ0qZ0+BpOLtEwrTFPfZdnh06mNKJ32ijfZn8QDk3UwyCJaCnYycqNtU3a7eLbD+H6YwUWiJRR1u0o4wqQkAEe7bok81e6yOlb/ZAwALqLlklDHZzueNC607Q2TqPDQCcDQwOAdKejBHgYJzxOvt5zeM0+S9ql1fFmZjlBA0RcJ9OzdrT8reRK/dyEoBInf5/HmqMImpimjrenzbRNDTj5vA4wJfesrhOAhZy+twmrZdJaKxDuE9oIQJkEuNG2ek98FcBk3uoqwEoHVa4s+AgsMWCqRwkUeJIeTDkIfp9pQsYJuUY7l7SBpE7LhACU0ASQBeFFPLic3Z2EE+8Hvbmt5WdlKo0tCfBCkH+pddM6slZoBGaU8gxAxf7PNEkjTdNYcxRXTryiNqoBo+iYLRjPC+NSR2lX/8XaqI4RiIqaJIQ8K9t3o9DaGuR1Giagana6ro87seVldKp/HfB2gCpc6W4bJvMU7Awm8xQ4RU1Slt7TLDXQpAU0rSqua0YA56K00aj7dk1xlGb+kV9SBEiuDNUzdOQ2zRHdHZ2GKOaPABMP8VHA1PknZTwPFH5DnbM0BlGZWW72v5Vh0bXWnKbfWYnTfmmuCUh1d5MnDQj1tB4o2ZMieBqb4AzsNMCj8NqnJdwzwLQAVTNlzryyYFsx4seg819qUs/HzdRVV5ndtUkAA0w3WjRL5WIgpesGlkww2grn1VjBEoEk57sUN9HY5mQPqmOE9gUbkJvXJDe93UqvWTJAZUHsvw/4ivsGC6fRZWAJ0vYxEzAj09qM7mfxHrhqfOMv49ak7h5kjUaymeNAd3tRTrvRGeTN87eum3/2n/k7SVpe6zKsyzH6KjGyz/yY1qTcDCTx5Ff0u+ea1DE1wym6nTb6Ih525s5oC9UXdt2MtuvHNAJJfZpNbyOt0AeV3jXFhXQHiMKQ6ixN5Xjq1O5n0MPaIuvOgUYpuoB1oGYEojIepnFdGY8trAcIDwqWGuxYKc2xPM2gaYMjs/iW9uY542l/I275Fo/+DSZq43lNzdy2AhPQ5IGS3wZ6E1y8R5OcA0rS+yuxaU7LPzbN2YF3qKcGK5oahEx0zimcx0DbVzmwVaYk1HUDQxxfdZtd55WAE4B1Rev6wlcdfkhomY5NC2jCDZwprvsSTl27efuMW3MESpbufJRko91qAFBCQIkEl00goesIoBleyyAe9iPOj4CKNUtVq4QIiNY6th1QSvn9JXVFzDRJOslfkfk7GciKWq8I0LZub6u/jTwNSkpnICOuHgn5LRaf0+fnwzn++ZNUk0SARyKw0ZbXgaERnXfUFBBp6N64w8c89XfbcevEC+nDztyL53PlIgiyHZrrIR5Ky8jZO9TRQJL/2ZLclDbguUNak/yozDvquzRMhzJ19UQZQ6CI05lJzlk3E4B0CDAt6GTlUcAEKWuIl/g9hQcAS/XsadDwgJ27G3Dp0735DJQX46Dy7YmRp9Gixsr7M5XtG9E0x/SMZjWZton5mDa798DJpzMz3DKoD8QrsgEu+0Fdc/5uphlQaVBrid8Erl03lLbVbADJ3UveWQFZUU/4Xte2uuuKOQF4iQ0s3WAzx92g/yKOln7YH/226/cMBkpRm3Qb4yV9qx4wVeFWFm40q3UAJ1Epp9eojmVwp32l100a89oAACAASURBVDyVkROFOuAzAzXa5R3TNLXeHvss7eV7IBRnM/so9bA4hvG5RnY1mORBDEL+nqntTvkMkuwV6mSlvG4iJ3kRDI3obtmE3dftpuqXV4oWuC20CKz3Ou0S0VPgZLQB8o88r2iS0wCitDyjOXVbF2n+IYh+sOk9/6U9U9xR3yVW5Hdm/qgdStIOIEnCI+i0UJCERxIepnGZWDe1OVv59xFeyw/pao23VJZmvghstNDmQEkSHm4bxy3VznIy09wGdAAzyRkQYqDk471ZjjVMVt9Is8TmNyX6yAwX71r/tTpWNMB2WspzROF+zy1olnjMtqiBkpDX+S+V9FkbOKp3NGWj+SudA1gS0yaZz9ItoAOglB4dQCkTNFxKGliKWiIGRgaabtGAkt3dHkTy26myRws8A0VBYHUCLNlbolYpPrf+cV37I3fk7rRMFbCsNHM8OD0GoHpAezy/U2fUtvAXcVF+tDA6NgBocCgrF3ny/FcCSRGglaXXJhPQgSTOc2AllIkaoIye1VMXhu2wTBvwaqhPrd8I1EwnLu2Oh0xwtHg6IJXtzLy752klEBW/fGsARPKu4LRQ17xCWpP8Qw7eMR9EozRPJQeWuIt20kcB0tSpeyAXI6370dys3AOFBz5nyYSbAAR87D7WNjGYyUBTpAvVhcCTizZ1vCvMg8k4WusuB0pRszQ/UsBrijKgtFC+YnPgVlVkJr+2xWzxqpFaNs524ncAQPXcniTPepS1SzAhS7QIks4lbl/HAWUFM1haGlhSvpt2if2XqrSuI5xBJ+cTgBwg3UrTJN0KASWjGZ3yTDOlJqMDCIp/PaVAaEY7olXiP8JZ8Fm7xLo5gpAAlGQFO80LmiaKr95sxuBqZqpj4HV5fn/5cW+jD4yBkgQ+nyM4DoKyOmbPGNVdS1TQMwFJWR6b0LoyAeDUxaAJDQEQhZ02u+z5sOeF3uJJOQJFcdJ2O7ill8ATQRHXsWDutxQWrJAmibq0gpHYPZye5J2Tsl1XJ2m9ID3UKiU0G+rYxam8Kl04TVP3dwApGZIMRB3xWZqa6eoCuv/wwOcs+c22B0daOa1MzoeDcatBBnQfj5Bg+wuWhVp/jEAETwvRfPwyzVK8K6W9hqk5cxt4snalX8rFE5uXDSyxNxdA5zHxV3PSj2HdQBk41dUcLgNLNwq8XIs2y8YWTYBVkGTxG0BfAniEXrtUnlnf0t6ThAZ6gGSwy8BPB5DEA6WXArw0+tLw3yrAmgGbCJzCX2IdT6DZHvFr/8fP4hf+mx/Hm3/7f8OzL30B3/Mf//f4xn/pXxlbKwLwataPmUap9OOOf9K+NqnbmSkvAp0GsPby58DMB1vpPRXgVR9B0AxIcR2vZo7LTHGYg6FLAFS2+zJ/BESMDGa0eNXPP2kXtj7Sco9AaWhyY54l4VnytAGhDljRoZLkt+R/2sQWWZGuzk9JBkBGE2CT82Yg6Qgo2gNVlZ9lmzbeLJ/vVWIH4BEVb6kGKaaF+El+HQJISZrx9EWAqS3gew8PeM4SwEPXNmxLbZsmAyOfZhB1FCgJ1YOE3sRXBEy+dWutXQDX2sXdWfPT6CPNUqSN7vxFHAOkkRmuB0qNHmkbyFIsS+sJKWc0VbBUL+uVtrFuYAVwJjq+HFBCO3vptG5fyS3YQNNKq08ZKEXNUoE5ATA5oMQzTegTf+kBUwRLLyn9sqRfYgNKLxGAUqm/+itFEDQCRBLSCbiy9Mv338PX/JPfgX/893wGf+nf+0Fn8nO8dLfPfavwsn4JP5zrgFJHz8DQcQC1AZqR4/YcYPX5fVu1rGler73MNEoPkmY8zDf6PbhY/i4gCiXvsMltCoasTKgrM6MNwVNCS3d64y9rPPSYA0IdUFowBU7dz47whM54aPeO5yl19qQlSW8gaQZcLtEsnS8pS+n0OAICPS6dACob6izf/JR4aKLfJIOiu2iYkNBmjt4Xm+Biu3ja2PS75/CA5yxtqQZoDG5s9yas2t0DKuM7ql0yfqtBBnQOfsF753Jrqxd8ETBFEBQ1S/FrOA08e0ApapmcOY7yeEtZ4QHUCg+gTtjMcduZTAU4GYgxXyZMwBJfBpwYKEXt0s26Xae1HV4paEJRF2CluN6gQBZAi3YJK+JZS27bLoIiAqUIjvj+UoJWqdxfgnhX1BO7+S+0aIar7hrhLzMnmLLdNdTzqX/+0/j67/n01k9lisYvoZ2WKewzzQyH2js5iMm/PBt9jXb5YZVcbg6w+no5bflt9fbruHQU5ViX+HykPDLI9zxzEDX7+q3mFWBTl5XT1hwFQxiDGbYndQAqAp+EltXLv/1jbeHuciAIHjTVCWmgRdABp86JhmgRSE1AkwdFEtLt+YqlvIZcBpJiN0r7fuXOgMuGPfBGDJuBJAZcTtNEQ6Cgbg5dFEHQzskKw1+QucSP6S4muA5kZYvvnsKDfA3nAVAGhgx2bPcxoLqLGU6oHiR01i4xzfj83Zvm+Cu5CJJywOTTHvRwGQ+G+vKnkl6xmeWMxvdVG9iqW554oGTXSYBTOc0ZQr5MLGXL0QPePBc2vgKUJNMuGVi6XekCqWpelpXO14Jtmt4AeASvXeLdpI2TvWeV75IAJCHzmt1jXCtEa2a4hYAS4ACOA0YB9KRapNklSbw8b5P92oTFgk2iLMD5xXOs5+fVP/7le29v/SJt1HOAkmuUjmmT9gGUL5eBrzHA8ulYL0tLjmuleHkqab4cyJcD+aLep0kk8vTmuPY60gDIGunogdIIQGV1zUDVEChFmg0D7cqu3yQBRbY7S8ITd+DAMwRW/FeCT4vjj39VcHrLZ2fuqN1xpnY0k1umPTrroItn6UmeJmUdSLJ44B+tkgpEGJAkf7hFGRY15ikAYoAUAdGF6SFA4jLi2/xQ4TX5LAkM/NjQMnA6DpRkEDceK5uBo7U+ke+eJoO8dmyB1WhvZSAkgqIeMOWapFbea45ywOTBk9FWACf1gKh9Xbf9WylvW2Tt3wkKXbZn2SYm9cs5LZNW/ZVsjsCKziR31u3rNweWsOXdlnJstquapRsAjzEyw9kcsmukSUpBEcVfAHgh5SrxWxTtkpBTN1BlsCyo4MRdAQANwVQESRLSdkfZAw0oBR4R4G/+8T+Cv/lHfwx92MxwvQ9QPnZ38Vsa+x3ZbMvLoWtT1rY13KPPkq2+UchBTpYvaf7G0wGdkJsBoQ0w5eY4RDDUvbrkYGiqTRrRY/22u+4BJUmGJYCbFBSVfh1qjzjNwImAUARWDjhFfgZeo/q2fPd7b0own189duUg7X5oewq4cpCU+ScNQdGorOWHoa1dwWCGQQ+DjwxARbklg3wawotMcP3QjAGShDbki/TewmvwWbIt3ABLBEcNqjQABaK3cgZ4WlmLX/Zl3FjLhFAnCwerb+2eKjCgwSDHg6f2UyrexFaWcsdzSnhXIAAm0jTJdjaI0ViLNErfWDnQT6VA6xEDUsFSuSJYykBTBUsrmnZpBR6vzeHbfJmWshmuBUidi3TQEyCP0ExxFWHVZ5iZaUUDNNE3iYFRBERZuvKj1WHf4FVZz4ApCBs9+fsraZfK3xzK+wDvIYX32/7Qj+Kf+nd/BDgBcgJevvsV/NQ3fVNRAoy0Rx6kjMxxSOhb3hhA+Wdmz8nB2lZ+DOpYToyC0P9+5Wec/gs1n+t/241LCeWb/06AEJiBLDGQl3aBoNcOoaD1rMwF9FRzFHdttGVWh0HaTlxFMu3MI1A0BUpZ2hYRTfBMI5Vqm5auvAZ+81MyoLSBjuCwXeKsSYrO2+fAe8gctwO+LjXFdcNThiXzTXJ/vBlAWdBjS+vySXoKkDhf8rQDSBEAjQBTBFll+j1EeACfJW+Gy0HQBj7GRwf4e68xugQ0eTqLv1zsGn8Tc72YNjOCh1L823KZSU6IvuzQrdwJ3iy3Eq0CJZApjsrPgJL5MbWvPjbwdSqgaBECS53jd3aFDc4Ak+oGhtYIlgC8PJeZfwus5/Jn2YLtK7jHAJ6gQpd6mncbBfY7yMxsBoCGQEkSsCTAy6WBJXOlMsGymAZpR6tUeS4ETE7+A+6PaAZJxrd86AmWmyfb6QsLoKcy/+1QSvqZmAaKInjKANUMDGUAagyEPIjqy87Ki0tbkJA2EIKE3qf2/I4i0GIQxOVFUE/ZECqfO39LOxXfi0cCIwSUpsAHx8HPlDfSmC6hLfQ2bN8ZgSAktIvSDJwWpBqpqbZpS2upewNJ0r967LJJ3p3NcRfkTUESDUn8k6KGAIL4j7kYd2lJ8sXnd4ehR0CVgZsImhKei76Ks6n4AOG1nrPEzt3xKzi+j81yfbz3URKqw1rSi7A9HyYGSjPznNATDCiNABJrkPYAVANH3vmbaSd4cLSIB1DbIlOcDQiVvJMUrRIUN6WsaZhUFKobj9pvzEHb2UwMopbVgSlFBE3r5stkJ3bbYZRn3UxwN1qmi2xgaFXgbGDpEYAngBbApLdo4oGeIEGTJB4APZ9d2O4Mlm6XchDlsglH+0jPjoJaC2DSBRWgOGAU70cBUpaHslcukmqVun2kntptK2/F7HiApmVqu+LdjxHogdDMHBeBUF4+lsmCSc4+XxKeTM5uq11cHQI4Xja5OR5hIDUy2cm2Diy41xJ02qQIoCKYYWDF9UzBzx4tu2x3LvcEAg4P/EqBU9i1swUwMctpl79AOlDV0komuDEw0gEQEgeEovaopkO59Ou4CaAa/UhvZqrLHLorjiX8aF0wA0yxK0eO32ma+cXnD0/vzgDQQYDkAJVNwwcIr+G34TYp0IOjDERd7r/kwROXYwC0OjF4mbN3Jx6dyDRdkhTgpPREBkdtrh0HSrm2qQdKETSd0TRNBpRs23JO3mjg6gTFjRiA2sDTqWiYFmwAya56DMDJQFMBSdVE5zfgVMN0q8Dz8wa4gA2RrOuGRlbzV3oO6HNsZy6RGa7MHRNO/Nl/BpLeF+D5Uu7S7s/RAFMFSkLCKfxUnV2rgacApFJN0xENFF2377+Ldz//d+rXcO9+/u/izV/8OTz52q/FG9/4jSQUte3UBSi1s5UA0x0aaBmb3hgojb+Eu8Qc14Oro3XmIKqlbQ36+AgARSAV+RpI8jw9SOrzJeRnZrdaf/x5k9rlgqk2KaoPIj2Cn1j/xUDJ8sQ/294mapIOa4s6VN/ys3or8MqA0CDfHAmDya4ad/m1EyByCdg5Hy0HpIDqLv5MHVDirguASLOuGQEoafEpgOK0wGmc9gDUEAAdBUg03ZK/RO4tvKbfhtvgQw+CvIZpDpQk4QHRLG7lEMSXBF64VvY0FoGxLgSataU3z42AUvmbZwKgcvAUtUujeAaUmoapaZrOBRydSn4FSiW+LBtoOq3liAEGSifdwI6BJItXjRODpQKYzJfp9gy8fwvcnLd6ZCm8BSzpY0CfAOsTQF9gg0NmhivnpIjgLIJbEbwQqUCIr2cFJD1TAktLA0kMls7YNEpVABWQJDdoPucBONVfaVkagJqCowxMUf6v/59/DX/p3/reOsd+/j/8EQDAN/2rfwD/zH/6E6E+bfuL2ykNZuSA5hIaEnrjz0HQqMxenQ1EtfY0oMKr1FZYpI3zo3zdB0nGs5/fSQYFpH5Kr1k3HANKkX/doTvcGeqfgid4FHDmttBVd7Zers6B0l7+CBgtOX/nWCMpqNocupODJ3VykGQCfuKPb+/5MI0A1Qgk6SiP8wtP3Z8IWGTXyPSWHQkwMssNeYV4GdCMANQIAB0BSAyohPgfIDzgOUs2rNGJO4IgpbgBj8jD9D7eA6kcNO1rlEZ5CDxN7Lf3blz2XGuRgZcZUPLpsZZpDfmn+ozmx9RAkxaVcQNIKxRnJZMcCkiSll+1TtLuKorTskIXO5epgCEDSqcVYuCpgijLX9sFBdYVensGnt+WawVeLJBbFLRyA5wfAefHwPoYWN/HBpYK0JXtzVdZ8FKWCpKeLcAzAZ4K8HTZ7s90u78vG0h6X4Dn2rROL6RppczsZiBGTgUoPdruFSjR2ZlVq3ST0CZaJaE/glnGf90/+7vwA39L2/NO7dnxL8Y2dbcxaAAGdW0pClAlMLOZ5xIaRrRLAJTbnV196J6T8Tb0kPsrzQDStuok8EXZmpncOC411juBcz7rmD102IAK53kwBEA1+ZnDUi4Coqg5iuBnRHddGmgdOoC/s60HCAAJcE7eFwOlMIkPOn5LB6q4LtppdZOmKtKBDWda021mGjCqWJG7hUDMXUDTULM04etMczSMbigYzDDYEYpnICnhG+WlvEK8DGhGAGoEgBxA0gQgSQ+o6oK6//CgZrhj4EhxHCgZvY+PfZdGtONAycq2PFCe52siePu9OXu6AZ1tzHWiccrMc+P4GugGkswUZ0DJ+y2h0zKZVulMvGewf9O6aZhKnshaNE1F2/RIy+GT2g6grH5NDJZWqK7A+bw5eNtln56dF+DlCTjfAC8eFdD0EQAvSx0C4ASRE1a5we2y4IUIni0NID1dgPcUeE+ApwyW1g0wvZDNLPdyaad03y7ASsBHboCFNUjhqqCIQM2e1miYv2eekyRu+4T7IrH9YdIOjMjAzKW0Maja6GMANXoGgyLPN/JVYpDUwI44WludntpSvKJjvrj/E/8kqiNqkNsVQFQChvIuEHQapapO4B0/4Y/0DBRlvk8RKLm6tD3XdrEMzFwElAzsRP7wF0P6qVYOlLQDUU2j1A6fNP/NHgylpya8Ami6i2apGyLKY7NbVPAdATtT3yW5II/TAqdFuugogT0AxflZedD9nsMDHUoJeOE5A0dK8SNAyegt3oMnD6AyIPVqQMlAEqgO5gOVXZPWMOhpgOkYePLxqGkyoLOgB0pnNG2SaaUiYOL7LRqAuhXFjW5fy91IAU6L4nRaITe6OW8/UuDRSid2K/3UiQGoIpnX8waYzufNJFeljGxo5lzQzIsb4PxRAC8KWFo2FCOPcJYbvFxOeLYseLoA7y7AO+V6t1wOLMmmxHpuIKk85rxs4GctQEhugOURsD4CxLRK5YzMDjidAL2B1yYZgGKAdEIKjpz8P/W0NM5AqWqV+HtH0NoaA50x7TjgGZnjrC4M6otALOz4VEcETVmQnfyNZwakGlAagaQGhHq6z695e0Ap5sXXH5nqeAd2XVjoGW0ElPg6U37scgNNh4BSBpyWAXBa8vIdiJLA2xaGunqWApSEuqr5N0aA4rRJmGiXAjCKZy0d1SydEfBs0ib2X7J3qD5KQRYc+ept6LskF+QFgDTVOGWA6C4AKSv/QEAJeI3nLI3BkVLcAI/xKPGMTXIRPDGAykGRbSiXAiWjc/pM9Z/BwMnqWUu7OKeB9ON+S9LRNiCz7bMt71zyTy6/0RZRnHQMmm7RfJYMMJkDuIGnm5PipoznaV1xWtWDpJsClIx2c26ASc7bZWcI6LkM97o5fr9fpPetAi9OwO1HAby/lVkEkBNulxu8KEDp3UXw9gl4i8HSadMuPdXmt/RcgBcL8EK3L+hWwXY0QAE8KOAIBSgt9lGeXaZVuiEANfJjGmmc9u6XXgJI/QrOm+FMs9QBHcnBT2ZGG5vPZhqjYw7eHgGYj9L2rF67ZFJFQhyU9kEmPB4QNZ4eQDFPZpi3S3x5pfID0LMdoN/yhLsrdl2Nh7oqbwBAEVTtASV3aXsGQLtUAEN8dc7XDJQuAU4jELXs8trXb6sDSvlrD7VL4r9864DSKJ6UyerOAFQGmqq1loaXu7ua5KlLMu3QMI/By5E8CXwMakgWOV4Z8EaANAJQWXlbeA8QHuicpS22hfAlnDJ4KnGRnjYER9G014Mn73LJfFGjZBuLhTYKOVDKlO9ehGp3B+Vt/dHesgGjCJAyEJUDqaZR8qDJ084EjBaUL90IIC1oAMqBJiGwZJe0+CNswOm0rNvZTLKZ6AwYyaPtwmO7zlv60ZlA1HkDVwDw8gX0qUDlGXD7HPp8xfLyIxC8BywvgRNwu9zgfXmE95ZHeHtZ8OYi+PIJ+MoCvHPaNErvrcDTE/BsUTw/bdqkF0s5ZmCRqk2qIOlxu8vjplmKgKkDSsHR210jegKUmvzXRMMkLc68Uvg7QGLQo2iKZHX5RzVKY21SBqAYBF3i4B3rYOdu5vMr04OmUWg8eyBoxJMCoZC/cfT+S3WXG2mUVqm/FxdwYwM/RwHUoaMAkiv6KlXHGX7TJt88gBkBpxlQ2gFOZXJX6UbAqPNZCkDJtEmb6S0DLJqY0yTVJjFoilqn7nylDDQx6MqA0QAk8VlKWro7c+aOmqVUk3TK8zr/+KN5MsibgKJew6QJQCpzgvlrXdpjdRSee0ZND2qGa8BGAZjGiIGQUtyAUANIHvxEADUzw0WA1Mq0sjPwNObZQsw7O1HpgVbME/Bf1a2WCI4iYGLNU6R7MxzXcXK0ZqILe3W9RzOdaZdO8IDphA0ovbR0cQA/3WzmueVGsRSQJE9W4OW62cA+vAIfOtO1Ak/OwJMVkDPw4hZ463YTeC+eQJ+/wIqPYME/DFlfYL0F3j/d4Kk8wjvLDd5cgC8vwD9YFG+eNq3Se6cNKL1/Ap6fiibpBjifzOSm0BvZHLcf+wvl0nIupgEmc/IW0zBlJrkZcOo7utcoFT+o6Pida6EEKIJEofjlz/1n+OU/8Seh53OZw9E8NgZAI43SyMF7X5s0AlHj4wIiEmDAtA+KYrD11pe7FCiZXIpAqF39ad1OhOdd1b+yiw+AUmZmG8UPa5UEyXClvTUESlFLlAEoB5SWQXrx/MMv5GyhnCAwM5wHSkOfIQ24MACl+msAA/ph0HQATFlcpX2AaHlu1lN3RE3QIXPbHt8AMFXwkvC5vAiKEsBkQ30XDVO7tPZHv2o/+PAb4pylHBxljt5a83w5r2lqYKePz3yYjvgt5TznkAalzSx3Dnmo9VRZVDeE9oQcMM2AErq0oGmYInhaKI81TU3L1HhO2MAQa5tuuvi6ASgtGqfTul03K24eKZbHK3BeIbcr5EUBSx8+A2+swBvn7frwGXhyC8gt9Pn7OH/lJc4fAs437+KMMxQfB/AOFM9xixXPzoI3ccKXBPi1BfjiAnzxBLy5bua3pwq8r+1wSvMv0AWbT1I577JqkZ4AiwGlAqCUtEnrUZCUmeBuqlzP7xE8xX1hFpe2xr7lh/8g/rHP/pt4+c6b+B8+9s1oX8O1NXh3jVIGoO4CokZIoa+TTXHta1oLDeT0wYMbo4z4Yn4ESlFj5O/tWemlpDnqwJEgd/aeAKWohVqJvgbePd8l+20gdxyB+GEF4A+32QNKnI5giHbSyrv4vG5yU5nBItDi5K1lpDYAs82ec1n78VWd1gjHgVJ6SGWIRzA1NPWpH6qo1FO0bqrdMQBDKX2gVRqCqQ8aMM3SewDJnmO8/IPuFu4XJwF4CLCk5rPEQKekRYpJYAaUSBulDWRVkSS5H9PcNCe1TCba5pqkEU8ETJw+g4GTdnfrFd4G1jJPzNTWQJOk8ejHlPkyZWAqB0rRNFdBlQZTXeHrgJM0s9wjS5umaV2xnDdNkzxey/28aZyKhkmfnLEuL3G+fYnb94HbF5sy6uXjd/Hivffw8sUzvDg/xzN9gXf1jDdxxj/QG3xBgS8C+BKAt6Q4cy/bB3XbR3WCtWiJKjB60uLyGJAn2DRIBSxp9FNigMTxxFdJypdyh0xwdjSAE3zS5Xd/dG87MXhHNXNbm1Ee2Mx/6uSuGqX5b8iNAFoGjrJneRNcDo48dQaimMdW4T5QyvN6oGR5tT6ltnSvmAClEY7swBHTAtiZdTNf2ddvcae+01lKyxwoxbOSUlPclifhq7f8izj+k1KwSv5bb027481zme/RHlDKHL9jfGiC4zi3kbp+DV3Mr1wBy2kAeCbxoxqn9Au7EWCSpJwDU5qY1aQHVwlAwlLUHfWw3bJmGTBVK9b9hPv3WVqLuCAppHICqvBbgPrXrBA9gqZ46rcHRwyGxholjkcT3j5QmvNgJz0GTCamleioPdF/PZdplCJoyoFTDpJm11jrBNI+5Y7hN/C+TO5gS6xYZMWyrJBlA06nD62QN1bIR87AR2+xvnHG+Q3g9quAF18HPP8G4L0v3eLtL7/Em28+x69/5Sl+/Z338Oazd/EVfYI3AbypN3hrEbx7Azy7Eby4AW4fYTvT0jREBI70cUvj8QaQDCgp+SUNAVIClMR8nwJIqsApA082QDNAVQWllriUL+DgQIjUdVOOZQCgavHNjyz6CGWgKNMo9WBoD0C1PBzOX7tnieMH3TNAJIEnD/F8payGY0Cp3WNcSmmBNjxrTdsFRGX33KOPQFSmQRrSYj63q+zYtbvyt0wQ/CA/gKGal4AhlxfAUWeW2+o0oMSf3ptGKdPosBkuM6kxUJp+FTeJZwAqKvbcihLf9fH1hz5KpwQYnfpuuwhYSZInfdyGYAiYDqS9yU0JMG0LR4VkRf3ppocJ969ZWsu9nGCrUlac3dGAUQM3phFKtEvEw6Y3b6ZjjVIDTh5yxLIzTdKmm9kHTOdJGpUeNUsx3sq1k8B5U4lgKQKlCJJ8PoOrvSuCJ2+y6wCUli/rML+q1mop/MuK5ZHiRs846RnL7Rn46hXnj61Y/yHg5aeA598MPP0S8JUvLfji5xV//1de4u/9yjP8/S+8i19b38bbzx/jKYAXN09w+/gR1icnnBMN0vK4XWr+SI9Rv3qrjtumUbpp9xE46uIzkLRnigvyf/TH87YvbH9ZMTjKL4Mhitz0loOiffC0D6D2QJTPt3p6HnV3DhlQmoOkyBdBz6y+HCgNHLotrZTuXk2Qn9AN7uL9+56ybqRNOkdaBpTKWym92WHzm6WXAI4oHrVKLJ0m4EhRnLzL87Q4gmsASvZ7bwyOojLNTHRZfM88N9I0jXylUq0TGo273AlqAkKZyS2NH3Dq3os7QDMBTDOQ5ECXeL6YdholKTu0hEVBaa0L637Dw4El2NoRYJH2gmKv2zREDRAZmMlBkwdPwY6UBAAAIABJREFUEfg04OQBDIOn3pep9xha0Ux7vClEYMTmvswEl4MjD5LWrh6bEq3d1jKpLWwAKoIm1jyxxskDIQ+udoCWlLRGf6qSr6jmu6GWSq2uBppOshbNU9l8P7ri/NWK268FXnwSePYUeOcrwK9/+YRf+TrB//URxd++ucXfk+f44ul9vHz6PrA+AW5OwIdOwOMTlkfAzWPg5gnw6Anw6ENbWoqmybRGBoxqnI4E4HsFOkFrpFFLRGCoA05Mn1wRRPXO3l5gNOATNUw2e1ZARgBodeUZnMzA0wxA5SAqgrQcZGVgzrdpFPaBkhzga6BHyjtGuq8rA0rtKs/ipkcQlIKjsqMeBk4BdHEdR7RKnSlOWh1Kbzf76s1dtIMOT+wOfDGv4+v/glAXF2hiejvXmeZfL/NfOgKapg7fCv+FHcVHZzJx97NGiR2k3U8nBeB0JzA0M90R8MEk71LAlAGooQ+TaZDqD4GvFTDZH31+Qd1/uH+wdC7AyCFFiwv9sbKAAU4FQkJAyPk3lbsyyCj3qrXKfJOiJmnkt2RAKQNEI2A08llivjFg0gCsopy0vuFWr+GpDJrGJrscJMkwjlAe9Qd1Ha/Al9OeR8qP8XIbBK3NCwBg+6T3xWPg+SPg6WPgvSfAW4+BLz8+4f/WG/wKTvjVmxt88aM3ePmP3ADv3WyHVmJBQXRYF+BlMZstxbS22FdsBQQpa4uMRtqg6HPkTGykOUICgjqgMwVE2njqniD9H9imfbJ9Rxq4EJwD8AiHUhYznP24cfRbihoeqyfTPGXl90HUkfwerG1nROWCsVH3gdIWPAA6yje7j4FScrnXLQBnBp4iKBqZ5l7lSrVLuk04e+bsrfa0ShEQMZ39mGQp8nzpLpl+1dCkyFCBJurAkf20CZvM9vyPhtqlAIIu/joOLa7cdREzxlePoCcCoEyrNAFJWf0ODO0AJnCeaOLTJGPAVNSvbHarX7/SmXGCELcfpbYFeI/h/n2WmgtOWyMF//B60nKuggc7Wplz/6a1VsDapQiKGi1qkpZQxyVAiS/7CzkCp6iBOjt6BpiYvxMsZTPUIgIEtulJ6V5uYQQ9DKBajVGM+XsEO6B6Ue+cx/ntMjtza6ObI+G6heAFBM8geAfAW9jOTHrzEfDWG4/w5icf49cffQhvfs0bePktHwHe+gjw3hvA0w8D7z/ezgcov4QrgJ1b2U7VLqDDwIvSJRSPAGhPK+Tylx2+LN8ETqJVis7fMKDUAR8PZNrxF70/EPstjTVHRzRKI21RDpJM2OU7d6uvaXKtDCjGwQOlMWSSLjcHQf3p3jmvP1g24xfOG2PHMUjKQNFR2qUgie1BndPM0WuZxzuT2+BiPmd+c39NkHRqOHIEVGKcv46LoOmwdmmSnwIvHgJpXV2BEnXB1Dcp5HdA54QOVKVgi4HR7FmS0MXHG5jSHBQxH+fVs5O2tRT9koQWA2uVTCJIXVz3Gx7UDFcBUsMupSOFQFNhNCdUVTT/Jn+EgNcMMahi8BQB0kzLNAZK2ZXzRIAkId3yPXiSsrlJfb73LDrTfeNdcS4da5NGgFrSA5doVouanUzjJIE/gqIMKLWNpE34tpE0oxDvAyanbyF4CcFzbEDpXV3w5u0ZX7oFvnwG3tQF7z1+gvc//iG8/Ko3cP6GN4CXHwWeF7D09hPgrRvgbQDvCk7PgdMttp+j07Jp8Y7HMtgEgQGScK/AKYKckHa8VEeMW9l4bECvXQp7RUW4o53UA5/+BG82z2XAqYEnFkienoOhkQYqa9cxlNAEpAdIPVzaDz1QOlKC70do/urPXBq+9gwkHQVPR8HRECSFOq27mhoT9U//KYAikMRq0PhnWtAq5Q7fGYjycYX/8o0BTjS3DY8OSOi7oCkDT3tx0HMLzYAeuAsI5HRa5Uw7dBrER/wWj9onSXg4LhP+mifHAVPd99t+US+xPZ/z4l8Gd5MGdwkPYIYrL1Imhcmstn5KxoKmXapr0QCNCc0CRoRADpvpInhSAkh1YQZtlIyB0hgY7Tt8b/WMTHEbgIrgKWqbGEh5UOXNdLWDa7kFgrVrfQaOgmgLwCdqiTxIim+NEq8AiXYUa2eU+Wdsv8v2Ets5SM8BPIPgKRa8o8CvQ/BlWfHlZcHbjz4EnD4KfPgjwM2HgdOTbbWfF+CZQN4S4E1A3gTkLeD0DDi9AJZbbL+osgKyBs1WmRYqUoVB50RJf5U5gER3DWkGPaxJ2uKanKkkOYjq9oZNiDTzm9f+dA7c9NeaCSQGLL3p7XJznAdg/dW0SUeRQtRUZd5KlrI/hmZQ6BKgNNcq1bgmvkpNfPk5Zo3TEM+x4Rw8zYDSXQBUB5oE7qdN+A2HAInBUca3UN5C/D0waodKtkkv3V8KrY4mqSavBIb5SLVI0cQ2A0pHNEoZgOoOwLShjV0VgMpQm8R/gCWyahdUDeo+BJ4c+NEAhKQAJuSAqQ69lo8si3wQ75/oNUrrdkaZxW1RuKMD7jc8AFgikGRAyPDNQnGl/AVF8hTgU6XPtuBUrZOs4FI2AAZDmbM30zwwUlc2Qgz+a3rk8N07fvdgKGqWPFBqNAZJ/U+38NU/Y6X3aJtNE+DRVyiCoqaB8qDIvxW6eNzOWpq3ShZmt9v0wAsIngN4H8AzKJ5C8RTAe3LC23KDt083eCqPN6CErwWWjwOP3gBOp1LTC8jNcyxyApZHWG4WyIdOWJ4By3NgebldUkATVmqi2+3oMuFgC53kd72C6Yy1Ux1ISujpPfDipE34CQpQ4t95GwMlUQNGqL3vgVLm8D3SGo21SSbAMvXEGERFQLRSPY3Pa5Vs/bbh2wdBx4FSdpRAB5J24kyLF4B9QDRKXwKaLgFHnWZJ0fxARouDrqGWiUFRku7McSZrexBVv3rr/+oAIM6pe8+0Fl+bMeIMKDH4cQq6g6DJHVjJwzkASmxy70xqJG+GGqT4h1ZWx1HAZHEJdMH2hx/JSgz50HyRBOW8pG1BNK0Sa5F8PAIor20C3e8vvB6fpQiaQtxwjxbAtDmCM3jaFvT2Q4nxjKYIkBoIGpvjmCeCqUg/cm/AKaM1UMNHBERaNNV5LRMLkq38AvNpanXwFDrXVAaAlo4eAVIDRAy84lPquFeqdlvpGVLMbtv1AsD7kA0gAXgKwTMAz3CD95fHeCEfhiwfAfRjAL4GWL4GWN4orX4BwVPI8mg7UPKND2PBIyyPFyzvF1PcC0DsukXRMKF+0l3/OKF5Gs/+AC38+Adu1RAFYeR8jEI8007Fu9BfgdkxAezQ3Uxplt7+UnMO3lNQ1PsxWT0N6kaQs6dNmh1A2fi8N5J/hrp/bW6Nguc5onXKw1GQNIITkQagWk4177I5QJqBpktBUkcnlLDyGwLVTrJ7RXBkQGoGmmzBMN/eFX2WJO+OBDStk/gIQI20TjMzXOq7xGXCsFpXGOjIAE8FRyMQlPGOQNUAPKVAStCDJxnzDPNMphpg6kauxXPANMqD9eK9hwfwWaLFZxuPrQ0lmob8Cp6kmrXbZeY3oPkz9WDI0wxUeHDUNEdjc1xvgjNBHu+ZaS7La2mfF08oXyv9/+XubWO167a7rv9Y1977fp6H055CC60tLRpsY2ibAEUDafxgokZigrWixIIkaiOm54OmaCIhfqiY8MFEEPOgJSY2kPBmUGLUxOAHI8oXY8SXQKSJAZSc0hfAc9pznvve+1rDD3OOOf5jzDHXuvb9PHsf7dpZe80151zrWi9zzflb/zHmXKB4AyOvNK4wcMr7cnOdFai2LwagVYVfQRJovU3zclX38xvZE6T7KG14B8Un2PALuOAruMMvQPAJBO9wj6t8hKt8Dhs+jwd8A3b8Uqh8HooP+tE9tdzygO3uDtuHF2zbhu3hDtuHwOVtV5fedlh6RFOXrnyAEp+36oLQm1MGpvANJKrEuIKZKjSu+FbLPvikDRMQQelAUcKOv/rxT+Cvf/xH6dtwDlMrKHJQYZCZW+1ZTZpB6czktoYwj7Pfr3wSVqUv3sT1ds+dVsBk6xVETaCUD+QMjs6gaQVOeT0D0uSzZK05WotuV0nALdyNcwFNZXwBTTjq9TaHFRKGqVqNo1SqSQmE5p5yc969SK/gqBxzCXSJ+2Wt6hN+QSrhqMeFvAmOMkjd5LuUwuVllxQvKQ+DUQYmhiTpz7lSmF7MMiSNtMlPM/syvuz0KmY4AO0C9iWxDGwEYihIkhRPZ6jqjuCxF13L3y5Zz2iK01Ce+g+I//gAGmXAIhCSI0A6UpZqgIppDDTXkMZwNDt8R2jy/A2SGPZsvWkIdnwtzs0NXkDtC3V2JT3M9M6UPwOTF11r4ly7YFByVanB0iOAt9qcuj/BHd5B8YQNu7zBjo8AfB02fD2Ar8eGr4PiQwAPcNPpI+TyiE0esW1P2C47tgdt5jcahHJ7C8ijAOzD1J+90vS9gKaqvq96lZRvahsgm8S3xgUwWVFW81GSA1DSqDB9x4/8DvyqH/khPH35/8F/8/nvg1c6swKFcKcqoKqgqkqLsPNcSOKKMhNCLnHV5KWxBqXjad4mQ1FIk2NoCvDEjwnX+dVcAVOGn0+rLvGDyOoSextLdQV6q3fzOEvpjWLqBXe27rONLGd1LZ96PBVdOGxLbYpbQNPYRxVH4TKOfpfVJe3hPCp3rjeWqs/C36hMZ1U69YQ7912KprUyj7R6rPknYTFyt0YH7jwEgBgUeb0x/JQ0AlSArGU79LLT6/os9SUDkD0fwSRHMIUd/lbfwwZUzdlV+rO7AejwBUU0T+0h7DDCMOUKU3zgHWLqCuFskEqDnhmUIhzZIJQVDNmJ2xfeTEm6wlUmOweP50EDXMK+huPxGXT+XPjOanPu2h3//Kz2cXbXfvRXCJ6w4QkNjJqT90M/0w0X3AH4ABd8CMXnoPg6KD4H4CMoPoDino71CpEnyPaE7f4KuVyx3e2QO8V2EWwXYLugja/0CHf47jWs8CmlMw9tRgImfjPkNypMlQpqZYmX7PAd3t76ywQYYtaKUkhLZrgMIq4cRUhymNlDXoequUWXaZt5rr8LN5OBH5MfSy6R1dJvkh6kH0+HgFSkS4qfwvnHw6kqvIs++DYkeCm2WV3m1S0YRNH3G7aR+VaUbwq90D9LaVrA0wEYeV01AxM3k8teb8Vph7gKmngm0CnjUnoFR+FYtD3bfGnZ6ljC0YFZLftBBvi5QVn6VL5LGZ5kkYchCe0NIYKRD32zBCbkbVbmudeZXsdnCRjPXmVyG61SiptNch5W0QhPm4xhB1qB1LDz7KcUHbo5vPJXWjt6e57KNOeP7aw+XdN2kn43+iI9zzS3j7AQJOWl0tKuXZv53GPjE+4vLWN9701j81Hy0aF4vc0brtiw4wLBBXe4g+ABO95gx4dQfIQdH0E7KDVV6a6fn7cOItc2bzu27QrZLhC5tHGWNgImgqUu1rjKRCcZGkaG/V4W+aOPVgGG0W8JlFaV1KGZbmvl2K5k7a9kV9Uhg9WjrPUh5Imta2WKi/uboXlWiub5ljwoflfHb8cytip/gPsoVVMFXGdTBU8VNAFU5YwFRZyd+tEluWmuIKoAo0lREt9WAZc9+EwrHHwOGG0xvfRRqrZje1NXlPrhVqc0QdIAmKgqldBUwNZZ3JG6lJ3AjXHtNA1w8jAk2dxW+bRP/kuFj+OhslS5CJzBU4YkrvMqeLLnXvZmbtO9A1OGpOPweBCKYQReG5hexwyXnzMuOP07PgGUBL3HG4wH+g0TAiRxeNp8OZ45RTfDMSCpZ+ijgUdTHQGRFoAUhhmI6TUoRR+mKs3juDccgxGHo5rEKhOvZ3By6LKLtyMqUNdehN3cF816GTa5IbYm1rf1pruBUVtuAcu8MtmwY4NK+9iJ4B6CB1zwgA1vsOMDKD4c0KT6ARQP8DdPtOMRdxsXNJVJtq1/XUcg/evWcifeKy4Ak/qzif5spibR2pD8Yh16gUiuTHTY971ikrI9kU0LUGJo6FCjrCD1e1GY6HzGuEcS7l2EnlllYsiZVaCjEbwZlG6DpJXKZLAXp7l6lBCry3zPnyowsvgVSoTt+JT6ujt5O6jM5jmGmBvinwNW5sw9FKw+76szOQOmBRgdABR/qsRaa8ktd3/OTSXfe32yVo1k8jkKeRMAHZriivQct/Nv5DhpS+1h48T4zCeoYSiqXqLeV1lK+3S1SScI0l4/8TAqh/AUwt30NsCmvYkuVSUtIEn2MO5S9GeKddEvPp+l/oxVpu5ykEqKO1aX4NduAJItJf4mNtirnzfyDg4OLc9XlpQO/syHKUIU74vhaE/pMezHnM1xGYZ8naHJl5e+7QVedXgcHzvPVoDd/LbT/xaKW+zgK9CKd7s+7a99YlfQvli74QGKByjeQDowCT6A4k2Pty/bWsVshaAZ9wSPAC5t35tC7i4QbNi2rSlLVwRggvkvdXUp+JjkKbUX2SoRxxTROG4TAVO5tPTxNW2rQFxFOjbDRROWryPctwxJt8FT3ubI7+hWNWkv9rkX+4hTvj0O8nX6UfjWaQYmnWKnPAw2Y/0Z883wY3MHnyou25pYWcq3cBRmzG8GVQVuBf4GQLp9Jrmlr5uCPoFSBTM8dyY8jUvph47ei/3YJeWwEg8uQSnH9WFEgsqU4elgSBLwfgIcLX6vAqKj9PBSqDQcQDaX7Yvwuao0q0g7hfPD8vLT6/gsFQ3MWDLk8JzjGJB2DDPHyKdoPq5CaYL2Fk+95xT9hurWibcCJoOXFTjl+AxDa6UpQ1SGI4Tf3+nYriOsU7ila8hrcbWyhAFIvPQGOZ8LUpyrSRmTcow3Yn47BVuoUC8dmO6w4w6KeygBE/AG2mc3wd3BR4Rqd7Ydt8FS/4Vel8tdB6ddGixdEjRV4gYwP4dUlnNbMsBp87BJ06fAZPFgR8a1j1IeIymnge6CncgMSjUkVfBUp82t+y1O3vliZ/VJKY6e2hHLt2UFSjwdVaXPqWZnHPDuEgOUjKHCAfVKanlJKJ0ftZwWLl8FRmku4SilMTANE1yusHEATRUobYv4CqKquEsKX0Zee8rDuEh0KpUP0c0zQdcESJxWxaXfH58w2aido3HURtigiMKT0zZD0Q2gtFSjEoydAlFOF7hCleo5hxsGmn2Kx7Q8g6R6oMrXNsEBr+GztNMKP4s2M/gwSO0ynqUJkBieevtvoMRMoL1XnXZoUhuzCQZMguzbNGaxHfmOZ/jxKpMBKgMS56kBK/ouzWqSm7js5HQ8lllZqgBpH8dvatIMTLkmrWpfDce4AqUISVyYZfwBgq1XiIIL9g5L7Q3ynuY3kA5Ninuo3AO4h4YK1Sp3g72ntl/tPWg2M8NJU456BSBPfXlFg6gMS6tnUeZldGo0QPJRbJGXGZTGCNvncCRiwJI/PxL9mrxSAhycsiluDS0enwFovlCzya6qHBnuIhzl/eW3Sp60X3QGKY+P4RxX5fmsplF7aC8aGYgMPBS1ya106MYMRqt4hqhrjkOSQyyt2O8ScvJbwRkkEQAVHsACifEHs7kCVLXU+8LQUxG3hCb7vSJtT+kGS6Mty502kg/RpDJV5rgMSgf+S5WKVMLRBRi92RbHMm5XlW4fv0V8QTuCpAg/++ghl+FprgsyJNn+7UF7+en1hg4ApudtAp8TkHII4jQd8RGeGmyNOsrejrjRQoMl+3CvdkiKJguGGqexkKYzQEX/pryfuH12DscAnSvFt3WldXPOnpUle3wNkK7juCM4GTzl6ifDE4NRBidGoxgGuBg7Wch4S+wj83ZlqZngDJbusOMewAOAhw5MrCr52ybGLxkwtKpLpEMTniC963Lj5a3BE73x2WkFR+9xGjqO3X5rvGzD6n6JoGTtCb19BZVJAGw6KUqnoLQIG9REM5YrS3b/KiDiii5XWGufowg9R3kykNX5c4sd80V2rRQmn6q4PM1pCgew50y5bCyyGBCtFKa9SA+XpACjFTBdqzgKD5+lDaNPu4JaeDufM0DKYGT5IhTdbnK7UJ3g4GVDn/BY79y9IfsMncHNzYBkcWf7NTZNvGssOECpUI6CorRQgCYAWqlIWW1KwITunxThSA6HJIjApOOc/OWOwIfatPZpEgemCDwETJLgqQjP9UmuH97vyX3u9KqwtPRZSlAUzHQJpAyG1vCECEiWf8ortN+kOmGDvSGv/JSssV/nqeO0zCeL9Bx/BFAOSWtVyba7jP0g7P8S8rGClGporApvbsak/2+3xG98rhQ3XLB3ZakVy3tsySQnXW1C93FqeWX8CsbvuguodFAUyIAbgUK2RiyywVUlOq3hu+Qt9DxJsczlOwHSWI5xR9ojL8EJ0uz7ddhBic/VzWO8bj5LsXLZKV8GF4ag2hx3Dklzmcjwc1YJ8v65RPHtqJYreKpgKk8dgRep9cQlWnjb5eWwyukgPXflH2WT0s6AieMqCWZAle3Xfi8XYuCwgHMhLwGqWs+gxK10AyY2u2VQiq9EB6a4g/lpFVdBk82CQ98n7ljIp1z1TivBqYKni8fnHnFVL7nn+CzJdpAvA9Pg5VYxuqn8XFXyl7QKho5McLXZbQap9TP9WU6vN3QAUMOQzQwzKV63lJ/jdhlv6BmMxj7zUhpJDVDaaAnFPFbTGobOwOk87jpOak53GPL4CExHkKRFHG8XzyPDUBU3L2dTSZRGDZkMmrxZmStNGQB0BwMmGcDU1CbpqhJvr2PvsQF2YJJ+DD2fXIBNm5lONvROk8PJe2q7gfXTSO3IUJCQwQhkbsN4I5sduSMArdSkCE3R9JUHnfT7MINSNMNV93MNPtmEd553Na+A20qO7SNOK2A6C1e3McbfDkxzLqVSdvBDA04W0MRd+SdoKoApw9HRPKQS24aOxY5xAqXFW+5SadqK8HNmryfY9LYCnzMwysrRU4qrwOl0LCYgDFw5LnEGJboEGZAmk9uZ3xJD0cJX6chn6bBXXI7jfIKmKsHUJH6Jq4BJQ/p4+9Sc/v6O3b6fUWhffHp5ZekJU4NSPXcDmHrhCkBF8Rw31Cj2bxpgpAUoyWym6w2lL6WR8wCmduDBP0mS/5IwyETTXM43A1H2TcphByaPt9+voMkhCSEuQ94lxM/glBvcvKwaOCAXXKFQS/GReDMsbV0x0g5EBkgYkGQ+TbY0CIJX9iBQEoOlrS/bzzY3NbVvNbd9WOW/IfgujSEENJ4L6NdMsfIyrXG9q5j8lW2vdPKbF8VpBiMvRxU02XYMPqYssRmuApgzCHofJemWvGtQ8n3EtbgF0vIszNMqvt/VMsUmSeFQIo5AKBwwgQ8DkQHVTvsJj2QCJo5nYOKWPA8yZHEGbkCsnK1gV854ExjRm4HbbEJYc/xkbouzDUDJQwXM0KRp3bXkIwXpTE0K2xxAk8HRVYG9n57apfBqLUINAdJIK2ClhKgKlEoTnE6/J5u0ti3DWglMGuPGCx7XV73tUTf/D9iR3EmlL8NYSQxAGYZuBSYLv870+uMsATMMpXBw1k7QdO7DhElJwtmSw1ZJjOPpJjnp6hE519aKEUHVgTKlIX+1Hw5viOa3DE2tyvD9btPvrKEpp8UGN9bIa1hCP2svurnB4X5DEZaaSY71ZjbHGSjd0zp9iTw1Vf7bfuzSC2H7/aub4wya+n5kswYBDmDVy0vRlvbNhv9SM60hwlHbqStLyG9Z7nNUq0kzUPBbHEPS3/j4T+FvfPynx7fhLC2rSUdgI5T3TEk6N7U9H5Rij7h4+VHsAQdhFNscT5wj3uwMSnWuvj1DU3XQK5UpQNMCmColafJXSpB07XmuG4K/0nQW+Vm1itigiOEpgdMtChPbi9LIjIoNqoJd5vGUJt6r5gJwntKyDB+A0VWAJ62PQzeMnm/j9JKfUThNhphscqN5CUoLR+/S4fsGZWlSosZtVkByfeVtRTa/Vaa3WLcdQdItwDTXQS5nvPz0tfk2nLXnBSiFuA5NEyBRnJvWEGGKgEhtaS8+OZ5ejsa+NqCPaNiPvRccNWCaQWjt3zT3pOP02o9pBUbz50oqFYmrkxmQdMTleN+H5TF4OoIljCWTvoeqCtgrUoH7KUioOFlRchOcDzXAlXENTELnJKMwWm5/GEVaLSFUEIdAVAETT1OLqRRnlQ3KiqCqVOawAxTf39mh2yqQHd/6hd+Kb/3CD+L6pS/jv//8P4zZDMeVDd/725WhzwKQjvbNb44VUvEtOYKk2wFpNdmW51VyyKFp28NT1n75K2iitL2Ir/yVriluQBI6FextO3RgEj76XBEbFBUvO1NPBqpMb3LuTvLGAKbs0P28+cwnqYKnM2jKefl2jfYjgU7lfB18kfi0K3PcJe53AqVSWUKhLGGGosSsU+9cKEzFntXvpCaF9Fyfed1S+y3Nqjd/8iTP0WcJPe7lp1f/3MkAI4KXCpomfyYGpAqMbF8jrxSgpBGuNjT/pQxQtv0GGhlcgOHc5k0fILBRwAMoSVxvGDErPpVqtDLLeX4LX8PvZoA6NsVpET83nBGuVo0iaOlhyTe+qmzHsnj9CgoTQ1JLF5i/kgQ4GbPaQ+cFQ3ql39oGPs6uMMlWNHj59AS0YUwsIIlbvvi2RD5HWnyyRBhejvyWclmLv9GPJv32Gn5uhaTPEpCyqgT6jVVpW8VhsV5tdzTPU46VItTXpwNVCh+B0wqMAP/ORwFHtwwhMD6kRnnsIC1YDhwGBGA6dOjOy1a5SjWIT/Xc6waVNqr/+DSSahuZG8cmtzFrV4JwAERYq0xH0GT57DYYKNnpBvWGQYeXBi1ZOVrB1IHKlBUmmMntZmVJoZv0W6Le022Coh2qSUEaI23HNqVSmGaIOgqv6ssqrz1kLz+9qrIEoHbgzoBEz1/2XQqAlSGKQWgCJcyO3nnJwNTa2rYc+20A1QBJ+8sig5OpTq4OOIxc0fyY/OSbWS9/5iQrRnXYQGgNSfV6DUdRTUo1NOoGbAVLXHAlhec5+y2483bUpFlVmt91YeRXAAAgAElEQVRO835tsoZ4T7+Zj85McegPIPlVST4PUEsYp2F6G/vxYziXmqtKxsMI62toyYpR1GB2yhuhKu8n31s+H0W+70e4EY8rl6Pj7W/D89XRVEf3nOksv10TeymYylV1gBZxBk3hM/Xwx3SkVXCECEhjuGmhsM3W0vcDK/2S0ovOyn8pmOYIhkhd0umZvbRPm1gLHuqAOK7SERA9V2kaS8Hk3L2CqulzKHZbrF2ahbEZao4gJ1ohx1yqTBMgaTTvXdDgJ5vnWHXKytLWX+w2gL/fpvABit3URvATvvf2ac1wsa1ZQVQd5oft5aav+ThLh+a36uUlQVOGqGlwSg4fLCfFaSvWBcMBvA1yucG6UQ6AQiOtGX4qINJh1vP47Mx9pDLdDklKx7SO0xQfKX9uyEDrQF1gYxMSnbtNbWNo4rFWvBbR0FuOaxUuIDzFY5VwHtIfVD4yyyM9H4NVH3ZA+XzypGUrefygVxXHPGhkhKTZhwmYIQmIUnXGjlvUofc3s/k1jVfkGIpW8SvwqaAo50t36IYjr7c5nzRtICG6PAAorRMUhUdOXWliaKpUpqvFMzBx3rT9ODaJbKQczvBEz28JSfx801x5ErN0Yq1/Hw5EIf1U9GYgMsA59Es6WE5hArLBnHbJCZQmQTz5Hi3TKbwEo+eY5Y6WW5G33z4bxkSp3ohwdABMqd6q4rhgr0xvlue4jlzVG+ta+bOcvibjLB31iDuFp43yMgx1aBrPMatOQ2XqQLOlfXGbywC10T4COAnlkX5sdPM6NM2+S67orP2UNgpXYJSHEkjwNQHROSDNpjml+FubmHWTwu/crKxJgqaoMl1QK035DTWTdPhhb5TGg2cFJebmY3Roon1q2je1LKNtsd8S0MPN4QxMq6H8TfVhKKo+JVKZ4OI+HWnjvVzBye2AhGIbjPi1HoTlfnh/Cj6H20rheo9HpTNOz8lbTV5KaC8MQ8tZ63ysJhkcMTSVfkvqrXuWZva0bTjoVCGXKlKGp/wMMgw5RMkhJCVVSTGEM/sa4k2KEqUxNOXwc6HKAIn9lPaCB4PJLKtLR0rRYjlBVwVIK8UqQ9GFbo1tY87bcgRFlW9Shxqp0o5UpQxEle/mWR1ZgdOne2ZvnV7eZ4mHDgBuByR6YQl5dspnaXvKW4JS30cYPmCxFABbgqoNGGMx2Xqv2IL/Uy+AOj7a2yoXxVb4MR0oSFrEJ8fy21WmWlXKwORxXlOfN1coln6rMZDBb76pSzrWraJsF1ICJDk4RYWp5Z972GVgmpvP+LZjoCM9zSt+4TEBBGCkqqehMbY1XQBT9UXt8WaXfZTi2xVDk8etIYd1meo+5re1tY4D2gZpGyy2uRVn1tvOZ/R+v/Cc7bBYr8LLaToY2orHNJpmpUcwgxGln30w1+KuOa84KPGFEvH5OcAUHLwX6lEJSTmu9YBj62LwTVItIEkmBehIaSqhSdbmuBGnaIOd99O14QFyh75qEMlyPktfqk16YI47X6IPCRBMb6MOakgq2GHD3gRgkr34ZqVihqnK5HY0KGVsa479k2I9Nb+kvez0NfNZulld2lMehqcdEaoGEFF6js9gVS0JnEIcgxMtW54OSptVOtrsyTDfJL/x6AXzuX5Kt4SzyjTnVVrXFDevc+E8bpYQwhJCNjW4yeoSQ5JdLx4eIKpLR8pS9ZsGL3aMO8VvdK4GbRb2fVZeTvWUr8e66V69Pc2VAytLfC8YrOb7M795nYPVfJzo+THt6+jcbpur36qv0y2wVB3F+ZHNFW11NFW4TVKEimkqDpoOROaDM9jh9AmOUCtKgzTEw0FREm/5x4sAH+unBSOqlJeQZL1Z2361fx6KVaLxsVw6jQBC2mEHDkI8H0HTpC6JDw0Q8trvK5x30+lM1dJz1KUNtbp0hwRCWprjDsEpHVfr6aYNlMCgw8vsp6RTHi6MtwLTXLexqlSb2+btq/T5qXyp6f8bnzu5EZ4yIPU2NkLVRmFO53BWnKolQdKIY/WJACrA09i+VwIbAGiv76yQGIlFYFqFKxiqwzptkyEpKkg1IHmeueGqm5vjJsVxw11iWV2KkGQ3aJ7ZVJfHWXKVaqr5w7oMjONWyXrAZVDKkHQbLCkcMHScdX+4Zf3gOxD59WfHx6g88b1eQ1ClFM1xKPcx33ektLx+VnE9H3FuhaXVjLCn+ShXR39Wos9S2kTl5fBAlcIJnDIEDWXI0itoou3G9zgk5gknnCvfnraEpCOQqiCJgYrkld7zjZvPq8q547Y6JN3iv1SqSxpBa4IopR5x/VLapRKh00tms5vVJZvvbow7UqW2Ii1Dm4EStKlEBEa12Y2BKUMRg9AKjj4bVWlVV3rYW5WXnl7fwRt4PiBVM6tH9Iwu1wtVieEp+zCFIQWonmiKUcxrX25uTt+ed/Sm2/qJj4/2Cqy3B3+EdzR+/bsbFRiF/OSUdwtAzUA1N8S5gGaFaW7QMC2FYqabD1aTAO7+LwRMs7pUg5KrUgw3+Tfz8TswDUgS2w8oj4ETb1NPliNcC8G4jvPDPVcSfB9qaIpxmLaN5xkdvDGl5+0tR31fz1CjiltthxS33r/92evFIXNMc6Ud3XZGKOJXcTZNKM0QFOJl/cMBnFJeTj9VlYDwJViGLd73qHjtBFYAVIXXCpNSd6tp2ACyX6luUJHBc6WjtgJPItOQACsoGrAjpD7ldco3VCWpocouM4OSXHye/IxuBKXSV+luEX/pPdwuSuqRLMxw2vKPS96sHA1a3AssDgdA4LQaOgBZaVoDU1SLfIiUrCCtfJWQ8s3pXLet6+XPcnodnyUgvpyfAFLIt9V5co+5Z4ESxydoYpiaoUiL3nGWtoi7AFD072dKP+aeUbyxV+zk0+QQdGh+M7+m8jMqmrbRMk1DweSG2Avr3PzkRg60nCfHDEMPhqMYroFJBjBhAU02s4mvntbdTeMQA5bOBRJFOO/HH2CHp3i9ZkAycGFQ3UNcVJBqoK3s+o4/GdS4ojm6n3Nc3kfM9xyEqX67PoezvUaYen8l6ujseTqsnquNwg9oES/xZCoIKv2UenzlxG0tPccp7c+Kt9VNVq4HDHE4A1NWmBIkHapK1Lpjg33SZKhK6pyXFaQIUOSvVGyT/ZCWKlMKD84E3FeJlKRDICriVya2WxSlpb+SgdMmhVlPOiDBnbgD9CRgQq0ssdltTstQtAImLdKOgIjBqq4v57jXmV5dWVJ6BgMgreBpn/MemuEsjtaDnxOrR0lpCirSCooKiNIi34jbU5wpVoL+amKO3y2zN35nJrfso7Q2xTF8IYXjb8aG+ramB7TM4QhKHGt9ztagZIDkoGQmOoemGZCOXbBD6xCOdd5K0754ffWAVk1tW/rD7evADD6V/AzUcHUU/1Mf/6f4qY//LH3uxPJ4uEaC+u0tn0s85+dUWHy81fZzRbn3O76CozNQqrTR4yuQ43SKv31KJWt5IJoOVuY8K3C6pnj+DpyZ365bMsOJ/86AHkRIQk+zim4Z7hXa8qus/a2RHWtw6arS8adNGIJ4eQsILVWnnGaApQ5Jw2pp9XgBRMFfKZu+stpUwRCrSHe4DagOfmcsB8uaUpQB6HqyPpvdXGGalSX2V+I2JSpHuZ7LprdsmquBqYao15le12cJKJWlAEKI68vZgCPDFENQAU6lelQpTbafAEUC2NADY3vx/AxYR2rTJt10pw2eRKCiGD3dihHBbwtb08IwleHLC3Pc7hiYciGOjSdoPYdtcoMWqzXZ4Tvf5AhOW9+mLTM0meYR1aE8RVBa5fJ4pTWdUvlclY7ArksGpOM3JFaUzqHJ4zHWLf1bvvAD+JYv/BY8fenL+B8//wOI+oydRY0LcZ95WYV5/WxG2IavnoSy1Oad4itQWpVMFmDsaToHpRm0qrNeTWVa7nUWTw8lFCltN05G0rouFKceH2hj6/HK7RlGObYiPgCIASqHqULL4SUw9RY+9GU3dViwY1tC0cqnaNX9/9Z5yq8NmAZfAuOF97AbP4HSTV3+K5BiiLpb571laIHhmyQZhG4BpAqsMgytVKS1b9KxGW4VV9ePOa6FX2d6eVjqZjgGpeeA0UpVmsxwttwO1gmkJn+lDFAMPiGtgiON+YeKlOMkpOMivs/x0UIBVHvvEIMnAqDSl0mhwZdp70MP6MjX4o9VpSNgis0IKFw1IzUseYihxmJYXcq95GZH8BmaZOyH91tPWqQxRJzl1zJ2vgYMTLE5rs1wVbN/q19SnV6rQH5s8R7yOayW9Xk+b4rlxio8PyqvEDdErM+Kkq9rERfnGZhqzXR19kclvAalIjxdOp0P4HDIAJsLQLKWnkfr3gXYd4rXeCGABEPAqJxLH6VjYJKgJhlBZIWptfZNVeo+SyDoWYGTRv+joTKl+OyvNC1x0HvOLj23CUnJuclxe6EgTV9wupvzyEWhk0lOaoDiS7opsHlpb0DUBlhovkkFMEkFRkeO3ZWKlKGoGozyNjMcP5m3xHk99vLTq4+ztAQjSrvZyTvPrBIxIK3AibabHbwxQxHBzwRC9GCVJrusNnVw8+0lHJ/KpUHP0FRrE92ZyhRMcbqP/WSVKW5TNzOsOGR1KS5zGL0xlBBjcb5cAZOb6HKYAckVKtAyh+vjq44wpx5Pjh7ZJyo+5BZTVQasKtVN+tohm9Pro9NpbQU97G9VLeP5rvdZHUFdRhiSOL8pSxl+suntCJJWJfmWuTrr+ao/czIgqi6NAhNAZThS1MrSleKHv5J2ZWmf9wHAK98enMxvq/AGt/cwHHFcAyWVDTLMb9uIw3Dulj5MgAY1qVKNbjGxnc4LeDIhbtxTweRqdaQWHaYV6tEwvbHJ7Q41FBVmOedQbQ7c4dMj0ai59lFaKEzQIj6DU+XEvVaT+GmdFaQ5juu/yhwX6+uXR6avzedOgGMg4rw0H8IUq0YZoG4ApxB3pjBlEGKwyvmy2pTDU95eIW3agak9CNZcuGnt4LMo6gDE6lNliqsgaa0onTUnVfNSTRlo5pvu42hnSGJAog/pglUlRoZzzPGHTm449vU+5rBfoxUwYVE5VPGehkU6/4/5NVQ6+bgrCLrl3q5QoSo3c54qzMevQKksRXVJb4Ikvhpcda+NzbedxbOmcMp68MMSzWUGRwOcMAPS8FHiWUmaMbjS+DtW5A2Czj6cW4WtIgsfHTPblEkflNZN6js2H0tT0T6Wy4dMQMPrHF+tZxB6xA2mOPFLaKBkh8/AdDo0wPzt7xmSLnDl6O4gLcNR8mvCBTCLhMjKzNbUJZIecW5yW5vi1g7esS2pgGmGnqw0zUB0ZI6zOuK1/Ja+JkMHTEBDcRMIYRG/AKVDgDoBp0OF6RCOJIIQAdZsltMCpGx78bxqwNQvkI0K3v2ZWvO+A9pMc/H7ctyMuLI08nPBlgxPOawnYYx1D+dJx40WWlO6+bbu8Rmc5nC1PoPT+qgkHRsfWQSnM4iKDb/vMV6XCCvzNX2OomS/M1/7414icZsMLEf3cHW+t+TPOfLveljp3KzCXDl4N0jSsF7PtypJdT4cbHPL2cYdybzT6QfUTzIshdb13CwXunVJMsElKApF3uJkEe6VV6ksVWa3Zm4T8d5yamoSMttpYYaTEoyG2Q31/IjbTHK2zzGElRAkdSi6yQSXTWp3KJ265/yaIEmSWQ6z8rShqUmbQhMpz35KbG5reW8HpHPH7ueY344cuc9UpSruuIb/bKfXhSVgAqChRh8AUQVVAYAqUKqgaAVMlOcms1uvI0plqAKlDFcFSOX0oTJtGN9KauM4taIyf0LFm4zZLKcpntQj3RuEUeGujBW+H4w4ru3XSsTRxHBkN9dvMoPTGTBhAU0MafN0GygdvblEMPKlNfb5mtl1OoKferv5N2oHbaWjjeka1vNZ2Nnm7atlDlfr1aRh79X2fLSAm+EqZYlL9FpZijAVq3J/MlYwtLqD1ZNw21XQmLH6MWuxp7gTQJpUJXTaMFDS+WBHkT+Co16BmRM3Q5NQpZU/Z++tOiCX4Z+k6oeUe7gdmdhuHVNp5Zv0mNKHSU8wer7tbimEbMDWISV85/cIlFZpd3BTGkGU3Onky1SpS8GfaUPzTep1v5vYuoqk2ex2nRy+nwdMulg/X+anjKHoDJww5Y8vm7HeffnpxWFJ8gjeFqZ1hqLKP+lQVdpPttnq9SmtUpE4fwVHFL7FZ+nQf+kozL8/Ptx76c58/m69NMtBQ3xsIrIZLr7HezzHnTUVR43qKBmL9QxJHHbH8EpRsq798y86NNVTBUoMUbdM8zlXStJP/+E/hr/57/wRPH7xp/Hhd38nvv0P/l583T/4G8DX0SqKn/2J/wx/9Z//N6df+r6v/nlsHzwU98HOdgVF+XjnfDMoHZ1ntXa+3dFvVHvIkGIleQvrs5rE65rycsmuACr/ZnVW1XEexkyPi8zxY9Z8wMcKUjDNJXDa9+a3pIrQO48rRunrZ9BU9XaDYDLBSaIM3bCLjGECspP2LcujQSafFHgkQGJVySApK03XzXu+7Vzv3sXDD73ejhSiApBKZemuDlfmueCrtCkgCtmaNUFGZx+GIza7mYrEJjo3w90OTJWSVPWIq1UkrwfrJyznqcxvXSIYSyvER7X6Zz29OCxt+0G13V+eQlt2CyDdsAzgdAswJXDKIHQIR5a+LdJXcEQQdKwyaQKprYWB1gOChh24RVlyeMqQxPBk4QxJubCD1pHieKpKgaS1uZdcKBQhzJ9QkZCndvief6+eGJh8j+u8vgVfA1taDoHib/2p/wL/97/6+/Adf/jH8Eu+/9fjZ3/8T+Anf/MP47v/0n+JN9/xdyFfRwC4fP3n8D3/x58Ft5jbB2/6Ov8WEO+J/b5S6KzpP0KCc1xY49kpRoxYpWO2YzIwYkiqVKUKlCpI4mo7LyuIquf11Vxfh5xJ51tezgmQ4snCB6XU6MMUzHA7/JsdGg9ygJAdywqUqIJc+ipltakRh/V825NfUjWw5KnpLC2DT5JBUwVPiMBkblxKp2VQU5rQKoXpCIYqcGIIyuBE+YMKdbFLrt3losOQmmIURyR1/6WuIik7dkffptuA6XYT3Bkw3erIXcfPtf0vLljqD2W+BLtF2pTBaW4baz8mUoaX4JTzbIs0AqLKTFfCUQYeylcqR9m/qcPQnFcWYbSHlipStQ/3AoifU+nNCg96GXyUuteHUro1PeLNUA1JOQ4HyxyOUzR0OZ6427WkMBcMTo+FxtZyL7zzyfHn7NgtrW1Rna8DzN/8d/8jfOO/+E/jm374nwGg+PY/+Hvxpf/6z+Nn/oM/jm/7/T868ob9CHD/Ld8IbtJ1AqXYZH96h0el/++3PQPbc/LoIjUCUzvHyjSXS2ZUlyJExWWEqPcp8TH+hqtXgpLEA1eg7h0HUpk0nujKDKf8g+k4BJjgKIASA1Cr5LQAJRnO3a4oWRr3fFs5cj+plErSGSAFdYlAiU1vj/BtDS3skjMoZXPbmQnOeqtNahOb3+50VpTuBLiIg1OpWOnwT8IAJVaQClUpDBPAZre655vvoxomYAakWe7MT06t2UaVaDbLVQ9EBUmkdfzigqVLX9olMNO7vcRwfQDOm6AoABKDEM8H4MRX+RZgKp28MxxReGl2ExRwhBqkTsJjO61/o3kl6gAmVpxmk9se4ud0M+9x+rG6FBUBXubwalpBjYQlw9NRXFagjo9iBqTz0cDjegSmuNzfvcVX/qf/Hd/yb/yu8Etf/49+P37+L/zPxZ7a9bz+/Ffxv/6q3wy97vjo134Xvu33/S589Ou+a9o/h/3/ylB3di7H03luv27rwRjqfdVn5VooI/2Z6W0u5VUVH817Z4BUl/xnXsHqpMe8AiObhcI6pw1IWsBSuB0rOEKK74A04gyaFkoSKUrVmEr2WZPco+3mcZMQwchMbQOQEEEpmOFAfkrwU7XTOXTgJogZgFQBztHHcbPKlOLdmVu7f5K6f5Jw77YITEbJDkez31JUkc4UptUwAc83v7FvUpUnFnivQysVaQvL4xr6s55eHJbsB+xSbGpvhgRN9MyPikR8uxEuAGgJTytwel9gWsHTAogmkPo0cJTT9yqvYIwIvnW1CdqASTe08ZU2OAhxU5KbIPaD6mQWmoi935u5oM9hFGG/xTnW4yIstXgJMZ5Pirh6aTnPGrcztPIpN+s1MD397N8CrlfcffM3gZvhu2/+Rjz+1M9ivo7AB3/f34O/+yd+DB9+79+L65d+Hj/97/1x/OXv/2H8mv/lj+GD7/z26RgEwP72LfTtO9i9vX7pKydH/jxQqvdxlqeq0mqgWpUcVpOkV/2CW2Bp9l3i+AxRWu4jqk/VHI89XZXq9I8prJgNkjIggaCop9ngkwGWCAXze8iAIyRoIlBiJ28IJsfuoCTxMgLTrn0ASrnN9DYBE2Yl6ZHSBjTlJWgWx4vBi/1wl6oSdduvuvyXvkgFEAXz2wqaDJAmSGIgisDEvkprYOK4SmE6BiZ7Oo4du2vVqAam2uzGRbOVOhsoJoa5uX+N6VWVJZsFBE3qkGThXWkH6cFWxBehCphC2lak5bgMRwY/DDxH8JQVnhXkVFA1QAdDCj4GKS1+Iw09oD1uDDegMPc4iIGSm+kMpCIw6SCzoXSIYshao+K9BZZyk3obqqzAaQ5HGKrNbnEpIe59ptU5ud7gwEV5JW5rH1iei7zic7/xe/G53/g9sCb9c9//vfjLv/534Kf//f8E3/GHfhT5GBTAF3//n8AXf+yPFkdbGYbOUec4R7x+s4/YrWm+P8uXAcpm6x3noLSGmwqI6ri4n1h1nytPfA7hek2ne3K9MxzxD3NPtgBKCaKGz5LB0ubwZMckPRDgyMLAujdcr8B6rzgZ6tIFy55wfdl67m79kCV2+xdXe24aibuIe0QyuUlUlK5ocdf+e3s/LWM62YDN6t+V2a0ytS2BSRMMyQRHDE7uyN2HA9g6JJlPkmQlqc9KvkqWnuDKCkvdE+46AAeoIKpSlCowOlKW1mMqcT1Zmdr8s+kGSvz59Kb+/6KBpTtQRdKfZwYl6cscZ3nDJ5L6VbEXIVsO8AFBTAVRCZKWcJTTb1CWJjjKIHWrcrSnvJeDvNW+Lu0CtdHBpZ+bYIzTpAobdoAhCbB36rw0MNoB9aZjLNVgzBBBx/9zaFrFVcWfvy3H6zMYxfgz0HqfaQ1KvGQ8ufumbwAuFzz91M9QHsXTT/8c7r/5G8d6jTV9fdvw0d//a/D2J/+v5W9+y+/5Z/HNP/qDsHt2/dIv4H/79t9Jx3MOSPXkVdpx+no6At+qhNhv7WON59tAyZqLbZk/wtBKjbI7MwNTcefWXFhflHxbFEAea2mmO4Sxk8phAwBcd+8JB6VKF15pAhhmNgOkECZQgmD0iJvUpc0pY6EqrXq4BXWJIWgBRQZDjymOQekRPU7aJcjDBOSebppAaRnucDPC2TR3p57njvLfY2l+w0U7hClMTTL/pLGkeWWOiya3td/SrCLlOAUDE5DVpltAiZ+ueUgUfi2yJTWn4C+Cbqg/q27A9BrTqyhLXBFa08wEac8+h7luMHAayhN8pzZOm0HQyvRWrZ+Z4p7js3Srf9KzzXF6njfEqR9LixfYt+YMnLRXmqodohiIYKqT0tLyHDcVfpc9PL97e/j9mu38YNwCQ0fbHMXl6Qj2VmfTEeHhAR9933fjS3/uf8A3/JP/yEj98p/7C/j8P/EPHWzr+1Xd8dW/+Ffw4ff+6uWvyZsHyBt7RdmRsdVQ0sPl0fIeF0d2nOfkakzbng0vZ2fDsHSFv4nyHI3MKwVqzsMmOC7VrEZFfjkzRKufanUZJ0CafjhVhLYUMreBXVYInBTBAXzAEl0oO7DhpwREVWmL4RGXAanHJYduW/eecBhjKz2plt93O1SPDtKyovQI4B2lXwFcL7292ByMWBnaK0VpNQTAyty2mjMoVZBkoLQRKOEKwdMCjHI4mt7WwMRw5MrSkSnOno5bAYlBycOtoEcgYpOaq0je5LIJrtoG+PQdWm6bXscMp7EOELiStOsamDb4ixOb62Bh+DNvwJRNdExlh73k6OqXZjfxOmIaFoCgKStONwHRgekNuz/cBj9a9p7r4axMGTARTJmJDgIHpwFHjrDROdxNeZO6dAJMoEflVriId3c1zWoTh2YV5H0hKR/XLXEzHP6KH/0X8Nf+uX8dH/2G78Yv+U2/Fj/7R/403v31L+Kb/uXfBgXw137n78H9t/0KfNvv/1cAKL74Yz+OX/IbvwdvvvPbcf3Sz+Nn/tCfxFf+4l/Bt3/8u284Rp1S6iseWs4Un7epWv5cVXEVlh9CPrL1PuZ0ft69rAlqRcn8mTaKiyrTGpwyIEVOWfkszU8AABduBJiufnWr6p1HeGI1KZjjbEnpV20Sin3wrL4dPWxQJHN48lkiIJrMbRfIcPKO5rcxwoH05r0AnzOFaahJUitLtnyH6Ms0PmXCdTUJYBmG2IE7+C1lxaiIPwQlDg9lS4HLTqC0EyDlL+JVCtPuYVn5LbU44EhN2ildKS6DEvsg1a8R1Ys1m81mEGLlyM1vDkaKrC7N32l42enlYYkqBUWEI67QSmCyFyF1wLqqr5sZftwOe0HqV4/hqDLJVea5ADkJmEbeFL7V7LYME+DgQmHOq7ydpHSNJjhFU4162JfSzpGBaRMypbWK0cCp+SPZ3chhmjXDU79pS3hCEa7jpIxZTTKtnZmN3n86O485zy/9bf84nn7ub+On/q0/jMcv/jQ++J7vxK/+r/5DPPyqbwWgePfXv9juR9/u6e98GX/tX/q38fRTP4fL5z+HD3/dd+G7/rsfx0f/wHcH/KwnA9s5rj7SI5CswInTbft5HzVI1UA0+yvZugFOrHivtMcVGJlnXjbFrU1za8WJm4AjU1045wlK0lXJj0UFSApXifIo3uGzXx2UxnhL4v5KahWnItwqgVeERyN321sgK0wDmi6+7CaN05QAACAASURBVHBkpru9Q1FtftPotyTAo0pQiZ7gpjT2QZpMcZLigODYbaBkoyDweErZafu5oJRnvRMHp/ucRlB10QZHmwJb8zWKJjcHJdErtK+7b5KZ6IacCFeVaqfuysE7qk1zLzhgbYIDosqU4cghiaHHYYhBqTa1sY9SVJcq7n/J6fV7w4FAqT/37K+0wSGJAWooTIh1Rag/lOoY8d8FEKCp9ElK0BSAyODpKPw+0JQUJVOG2FcpxK9A6kJQtBX7TMvBN2KgJP2a9GJNprnYe26tLlWzhjuPFIcRF8PHRX/d3J89Mu//SFW/V++tAsKY/st/5Lfjl//ID2G+XsB3/rf/cVj/lX/gX8Ov/AO/G7HVtPBzz+EWsTrDDOBnmsFJpm18u1iVzSBVD/PgVy8ehz3z8VfYb0kGGPEvW6k1NckAKatLtm5t6Aqa4gAbEY6m2aBkvkTzZOOmVO8XZnLLI3pnYBpwlNPVi4tdzHE8HYpssrgRn8IrhQkboq/S5j3fCJKGEzcOzGlwOMo92oLTdoKjd+J53xlQYR4mgA931fNNMjTlnnDJDDepSve+dH8lTU7eCu/xxg7crCBVqlICpqEixSEEbFkNG5CBKatJGY6ACpTiUyApzE9+BB2GpAxIa3Obg1YEKuAXkYN36A3Xn/dhgsOBspRA6mzmbXa0fwZgXO+sQKmMYyBiCFqFz+Aoh5OilH2Vlv5IFSgV+89qExQOY7xPgatV1mgF05wtd1rnhjupSkto4jTQehU+iotTA6jP/pE5+uXzo5qx4yWOJKbMKHn262vwZDSpgYkBJ8LR6nfiu2A20+m0fcSj6s3VtggvVsBoIgyaKlCyuAhOEZqyqpRBaoImO2Q7Cbnx/peghGNImqBJIjjx26QBWbwFdIkZnDIsZTCiyochiXq+7aQqcXd9g6SpN1wCJ4OjqWebzGrSuxwHGlOp/64Cw53Ker6VwwKw43YOF3AU0gIcoVCWNPoqbXtTlAYExa/gZXiaYSqPrzSb4OJ6DUxANrvNUFSBUjTDISzbc5fVoxqGGJ5qVclhStL2Xlu8PDK9Xm84gpasIuVlhie7QJWpnl+gpO9X+N5ReKhNjKwrYEqQZOtTmPNsKf4IlLJKlJQj3VECVA1KMscpmmo0AZZEeFJp52PrlhcCH3Kg3wXtjXH/8O6AqDB8ADUdGm9Ea0gMnTzNYYoLvMW+1nsDT5WRawaR873cHvvZTjU0VWCT5xm+PKwhjoGJ4yL41HHVdhGectjOSB1LgoP3tvilCpQqSJrVJG9uLimN4Sgo3KDXiHDqGi/F0TQ/SnE+UpbGMAISK0Zuz0pY6itVLzhsHs7QNMJGGhsgFzQ/pTie0uSXBOBJZFKVJl8lRDNcNrm9Q2GG22h//XIoHe6WnLkns1v2RUpmuAhKGiHqHkNB0nsCpwvlH6BkNy987hdtOICkKsk1ridAWgNTBUYVPGUn76o3nDtxx56p8aXF4chgh8MZkGp4kmm59lkC5prrJaZX81niFyUGoa1aGjBpfN7D2yOnpfAVrX4y8z1DlKI/PHZcVD8MMx0BUR5raWmCoweS4ydQMtPbnqCH4wyaEkAZzJTwxArShuDHFP2WiqUU8YLRg669LXYwgoGSN1/efOS3DG4++s0PJFstLTyD0/tMERtu24834q8BNrdMt4Nahp0Zfnxf9R4zOOWWNYMQUv68jwrGfNu8r9pviY+YMSW875S/2D/KQRWugRNX7B6+LCCpgiZ/B3eOCf0/K2DiS5SnWwApr0+WF/F537xS1P4D062j67wcPmCjJQFShyNWlrTD0i5bH09JpvGUJiUJC6ftHLcCJqX8G/C0ow0VsPVLkLr+75cGTAZCYUiAFC4VJAal+yL9voPSPUhZkubEbZAkPphkAKXJ9BaXeaylGpgYkHicpcokV/kmVYWtFcbsh2TPWIQdh6PLSBd61m7xUYpQVMFULsovPb2esoT47BsUKWY4CjBFIMR594OwvUXm8FCgKC+A2GvFwCmDEq0v4SgDFIMMK0Y5fi+gqQprgi71cE6DNn8kBqrDZQIoboEaNLmC5KDEPeVso9qLIzZ2XBqElqD9WB6E9XNk0IO1o8eqAojbIeW1JocNvjb5OirmY1/3WouYUeVhqEERV+2jBqva9Fbnz75LdgWUyl3LIVSBxj14JevQlMMMStcUvqCBlfsyzSrT5MHRv9M4FV+GFZ7ofSKsr6DJwqONVISuZjaQ0BjJm35ggBsdhNBBDf8kap5K/6ReYVVmOLlg1/7RXCQTHAiW4Ka1Q3BK4XcGST38Dsmh+9Ivh9XH1uON5r1Qjyo1ablOIBTAiEHpgfJc7JL2GydhTPFiPu8JV891TzgsIekMmELJpmesUonmuMsBKAmi2pRhKD67FUC1eu4XDSyxzxIWUJTBiaEovEhpVJ4mYEr5GJhGnQLvUYee1+oNBaY2JIPSAKC0XgLUxX+8NMMdKUk73AynB3GHECWAAZNi0UOuAKWd9yt+HdDBafR+k5aZzHAMSushBRiskNIrEACtI8XxxKB1NuV9SDoW/s3qeF4GpNZ7rK7F+lj9ijJscOFegecMKkew49ftDICqfR8BktCxVyK7+SRF5ShvbfFc8VrFzea4BkUxzMB03msuAtNkejNIOZvyo7IXy6AsWaUGB6XrBlx3BHOcTYFdxeMsUCpKCZomgCLSkP4dOEhTljA7dYfPk1gcCj8lgqTsl2TAZP5J5tT91NlQ0XgRDEqpy/5w6D4ys5m6RP5IMtQkgdxp7c90n+IuCgeaRyieIPFzwGhKUwQmwVMfDuBMXdpRA1McMqCCJEvLwwTkwmclwwDnAklhpfUMUnWvNn95mSHKlyvTnNU+r4NLr9cbrhfg3gYv1aQMUEFdKtICMKU4Seli8erANEx2dpzA5NuUB7C82ZGbIGlphjNoOlKSlPKu4tgMx6a3TZIfU7XUuL61kw9+TECrNA0i0S8otjSKN4GSULhfXQ1fPu9hscbbGntrJPlBWDc0tyFLBRaeplP8Ckw+HSTpp9q+BqZ5n4Kf/fjP4uc+/s+h133ExV9dA8sZHHk8ltvP6/ZkV1DkaRU4Zc8IodxW1V/7USHtpTbDzSaEaxFmYPKZDRusMEV/pWbK1sJmoP78pClaqNWBKYCTzBUf+ywNv6UN7qPQH2z6/TUg5TANBZDUJSmVpTbvEOwieILMMARSgVKcAdAThQcgwXu9GTBZ3Dt1GBvQKuNQgxO3+STlEbknv6VkcmMIauqSAPcyK0oMSv3zJeybNEBJIyyNWdg0t1KWbECE2hyXgWn2W4qlNzt22ytK80/ilwzBBdrhKEKRxbkJrlKOVurSGTDNSx9n6bN/aa2mV/NZAnoBTnAUXpo0LVPantNOgGlTMsERPFnlab1leNtrP9a9cwGuDkthXCZWhCqliZyzVz3gAijtvs+hIO0xz8ibAYnBysAoA9IKmDDHMyBlP6ahsokV0w5Kwx/pSF0SCnMjz2krMHlfYOFtqnhOWwHSasrH7NvolOdsP6tJ01oNTHn5TV/4AXzjF34Lrl/6efylz//gwAiftYhjSEGKm/MeA5L7ua2hqK1HdNlT/m2CJdt3awK423I++kppmkEpq0zuEO7AlBUkb5ZSmoGQgQk9NyPO0qspDyPAFSRXikFdsrBQjzhpb4SmPBm8MSidAdNSScqKEjn3yB3MwdsO5cj8turl9k5ndYl7v5mSZKD0iOavND6DJ36YgedMWWIliZWmoqdbpRwJDw9wD8gDg5JC7xokifBNeoLisYHSUJUe4QBV94qrgKn6Tlz0UaqAKRQWmr2Q8auJg4+b2QyA3BCbfZNMefJ4BqIISlFhkmcsLRyK8QtPr6cs9WVQj9SXAZrgUFXBURiX7RnAZINa+ttjNNGZynQFmmm5p40KDxF+cC1gyMJXzCNzZ9NbBUrawxmC+jKoPYpaXarUJsyQNO7L5vdH7Z/SsVic/b6Z5sagltIbBoKjVQ+50VBHSOK0AWEAxZ0hB92kETPHVfCkU9zzYS2urQCpAp1567hPmWJWxxmVuXzuNfCsr+1Zj7aj9Q1+H6u0fbmf6E1kYMVY0/Lt/dgF9oLjwISTvWdQ2tCaIleWXGHyJombJgamOcwlfqrh8/hLY0oPZZ4rSBo/rNGx+4oGTmO0b3rouZUBUPouCR10jgvkwet3I14h4+crWKpUJlaR3kmtKL1L4Wyme+p1t73UboKhIOXvt1kcA1EJSUFJSnFdSZr8lS5oZrfNerE99VJjprcwuEGPN1Xp0/gt3foBXcvLBasVtPgENrUoq0irpc9sjouKUYSjlTN3VI9Wzt7eT/Z1gOlVYcl6wo2P5CIqR5wW1CeNt3QJSRxWDxsk2T4DMPU0q8eGmW4ctMPCLg1s7JuSZ2Y47Q4PpVnOAKnHDSWJVCVTgyZo4vAZKF3iOWg6pxYnMW1Upm6eY1BSoFe60o7TQFIsoYNT5cs0bA1CB0Bhi5cKOGZgWQNUhoUZknz794MkDXG3HW+dFn99Pc3HOUNlXM4+S5a2Mr2dA9EMRawiVYrSETBZeLxCwSEpbuPLlm7AFMpXcfRYHEXu8mzAZMsKkmZFicxyko9E02VzYGFGGfdTafVoDsCkyQy3xXDVG248Gv0gSFVS/nCu6QT0OZNsiovgZOMrzX5KDEUrcMrhDEUVLA1fpb6/XTBG6dYLsPXDHIBkpjZWlRIgTdB0j2Zyo+EABjil3m9taIC9QdLW4MdgSIaS5KpSACU8AcrAZIBVw9KsLrG5LStMs5+SPy9sarNxxqTP5uLVYCWCk8J9lVxRyua46Mi9Mrudq0i+dGiiUvzi06s5eFsDbc/6UJPU4ziNIcnyrVQlTuf6g/MYJAVgUjfFia0TOPFsqpPAoQn9wZx6lrGiRICEHK5MbjqHJ2hSRLMam97oWvMSSKBE6yGO75dBksVJERbLI9wO998VZF+m2Jy0HeQGv+1L6SngPLdMFSgdgdMKjHjbfLwVHPE+zkFp3nr12FeAxscWw7MZzfcf1adbgMirKwYiBzHOXylKtp3d+z3FMyBFiIraD3f83+C+FW2vF1gvufkqrQCJf+UJEZjMaNKcvWdgimMmz2a6vR9XH8aMKhW+ZLQ+32qESnOCJFC7qVFVusJBKXzuhH6TLxCAqCBxmOHIoMkgieNl9H6zb74NVUnU/ZBAQCRSAhI7dE+KEgiWNgelMVJCr3/lgjae0l1b5uEAJAFTpSrV0ARSkbQDknRIQh8e4Ardrh2QHgmS2Oz2ONI/TY+4o9G7uXQKza2GMFNbfMoaBJlfEtLsatFG+RiEMii5ilSBUkxb9XgT1M7e9hzPhfllptdRlujFKatKQWmitFE3FDB1BElsfmOVOgCTQQ8ckkxpkr6txfFspjrsfowZmHDBMMFhOwjvDlIBnFbQZOBiYU1pDEqdUIP5jZYjTJAU4vpv0a1r8VsRFsovlmwVrfpvCu/PGmx2/q4AYgUV6dgmGDpKY6hYgRHvweHiTMU5B6Wqx92ypaTYXBHMx63TOcTzjj4/BKXPhqbKOVtTmsGUwq9dhqedts/KEkNTxhrb/97Pyf63ip9LmDOBjiUftalIK3BylckaAlaXKoAqfJiA3i9C4y0re8ZpDGZQmipCeOXGfko7gOve5mCGS7AGFHBEkMQKU1CXzNzW1hUCFVeTjhy2K7NbaYYTH3CSIektSG1CGyZg+LV3ANIOOQZKNgClFMD0LEBKprfht9QHmmzO3Nc2D3XIzW5K8CQJnqo59o5jx+7ZVynrnqBSakqS+fbxU8o+RxGI5jnnz+a2WT1aA5K//hz3epvDEaIwivKqlfjsppeHJQIlgAAJDkJcB1TgVKlKp35LPTygqdcZBkWT/1IBTeFFUBHccKx3H4DwySQzr4F9ligczG85zKY4A6gEMLw+QdICmqAUx0tLTnW0LwkqhNap7R4D7wFNwt9GSpf0PSP3kOPfKuHivV8UKnDgX2NQWoHRHJ7VpCNAiucVAZHTUGxjvxfPad4vX8XqfL1qjL/H4GLx7+OLlCHJ1qMZzuMdnpRqAe3boOOOg1N+52VX02imk7FVBUsaln5l1wAl6VcNkp7gveM4XAESf0dus9/vB6Wi/jiFcp4qyyNgyqBktq8dXVUiULrST2RYQg4ncDpUltowAd7zbXbitpG6K0AKvkhn65jj7LMpNqzU6PxCQwTsDELsu3QjIIV85XhK2nrKXRTSVaVmRnuEOXO3+R0mM5w8Avrk4QRJt4BS9lnKvksy4r02oPf6AUgXCO4CNMU89hy4mmThFRxFUPJhA9afMFn1eHN1KatKsRZ76elr5rMUAAk1OAVVSb1+GPVFAVQjntYNikZYo9LE5rhJVVKf2SxH9XIzBgiCWmQ+S8MfyVQlS69gqQIkTTCV02xpahIW63RPRl1cQFIdlnZ+FmPQB7to4pBo58TFV+I+214MHuyCchzgJrx6Wjtvr0BJKNct+QwKVnC0mgyQ1uDl+0eI85gajuo8+Xj5PPx8/H3Stjnq4TaIFww+jhSW4oCU16PpLQOYp0fz20ZpR7DEpjkHJj/3fEXnZTyiftbKBr9ulhD3YbrATXPRPBehiZWnOzuzBCcq6uO7TTU9VYZ22Fw5VjK7OXVfpYPSRhUh7Sy1MML3X+jd/9A/iUHJBp+UYX6b1SMtfZIeCaIqXySOewufzQT31CFpxygWQzkyR+5hgjM1icApA5MMnyQNgNTgSFxVeujzvQxVCZcrVJqi1EDnHZp61IfM1HfIShPEfJpMbWLfptXQATMw2UjgQqUPZHaLvkgRkIwtLf4OBkkGThrWuZdbHE6gBqXsr3RufvMiOodn09zrDUn52rCE+blXTetI4KRFHXEjJIXPpGgNTaN9T9Bk5rlybDmabZvRm25H+GzKgCUzs10RTW4ZllJ4CVB0XcNS4eoSxVd5y7Au4u1C2bpV9ARIdj79xb83Cj3zKNMGIBEIKvxYg1Jeq2CiSq9UnnW4hqrj5VqBqsKxgef46izW+VhN47QZkFru/E6WISl254+/Xzl3cw6leAMiBqccx3CUl8cKkw4dCL3qzGedaWMGpLicVSZeNsNTg6c7zKBU+TDx9+sSl7QOEIJwpNOjUVWcGZTCvJNjN0ZFGfpV0LM4llMPOIKlqefbDExXEeSBJsMQATgwsUl06H5LsBTCIFjStm+lU8k93LKyVMJRERfMbawqPQB4ANRgydK2HSJXiHBPNwcl7eDk89O0rM1x1xSeYclAyYHp2p8Kd9pmlSirR3ndAGnlp8Q+SdE/CaQicTgrSh6uzW/ZR6lWlaymek1gehVYskY4PO8EPENpWkASg1UFSbqAJAaoK2Zoyua4rCRltclUpU39hj0B0TxnJ071zVCcrHecgVAGJ4vvUDSZ3DIkpTxQREUJMbyEJEnxuQK3NAKmoC6tQGmjnfXgGK9pOhYGCRRv2/UxcUptfkMRdx6+3ewm9Ns5/mz/QH2cqzUp0vK5GtBY/hU4mZoji/WIEo4Q/jsrlcmByOIqSHIT3PNgyUY98vdlM99t41hnuvBrlZe1Z1R8G2dYQgcm7Y3NETQ5OI2r2N8bcvmenrUVJJXQhFHZifknceWXH/z+kMs4e1sjUJqcuw2QOk2IfQfu0pQlgqPDXm4FKE3mN3EoMnh6i54Pbf1x81MTwfhArvkjBedtjqfwZILLPd24lxvP9BkTXPamKA3weVcuUc4ZkjIwVQ7e50MIWGl31cdNbI0hJahJF2hYjz5MEZLYBOfrtQlOkFWmHF4BEkK6P5/RJOe1W1Xff/bTq/gshaqJoYmBCQUwpbhgjkvhaZ3CBkVZaarMcYcmONANVJRmuQE20l7yBkAYKBkgmTycVSXbTwKnsW+kOLq2vFzGZTDKYSEIKvK1cZXgF04BHd+hAUESmllg431Iu1gqcb+rhkOL+FOIquCEAeIMZLL6VO/L91nHz5AFyo+0X4S43HDedq4Ww+tcnWRw4nTvjl+DUQQzVqFmnyMGHks3YKmWlvfS4y60L0OWZr+OXkT7MDDYE7sP2MP4bYVCx/hfdPXErgApShLVJaEj2DTCkkOTL+/Qen5xc2d1B/ojYp9ly3irHKDnPcdNlSPNYvVHkOwjFNldtzJhqDSaoDDyrgxYkuS35KC04SpbMx4VvdtGr7cETQ2EtAAlcWdumgdUwR3FbZiAbXNz26FvUgapOzST2z3F30vr3UbgFIcG4P1dm6I0QOcdzawsPUKE1aUnbMV4S2tYWoOS+SSZGW7rTwX7Id0PWHJIisusLrHJruoBl9Wklp7hqIImN7Wt1aUjMMp5+Gl/6en1lCVESJqeeY5Tj7sJmLSGJHuxsnaczW8ZmjiOIcngSSie1aVxs6hSFG0DpAEdenrdsz8lUGoODQ5LVkFmcMpwZOugdbrmBhX81XODpAwo/BHhDCO5+IX1lbIE+IWEH6dPDZjmRt2b42rSaa0ClioPb38LKFVwxMd4KyjF/dS/D8RjnMHp/BrkNI6b1ST2EXIo2indJkuvAcrPpzLD8bmsIMnCF4pjVcnjDabMZdoVJf96W3Nm3WD94/aOTr7kq5trJA97RazjjAXN58h8mobKpK15M1h61PZx+WF+snqiP8ujLul1xChd+XlGOrxqPkoHOiTxvUdqdrwZkiJuNE1q8Ru24fyzAdqaT3PwvkJmfyWCpqwcTT5JElWktxR+t5FT99Z7v10werntJIsE1ajTQDazOTBF36TxzTf2TRqKkvoo3n1k7gZK7MDdZ7UwKUvJRLcvzXLVfC2WZnLbezndx1PDPu7+5ZUVKNVDBESn7rWylKHpeaAU4YdVpRqMZr8m0PKlp9eFJS2e7QRBFs8QdQpMqCGpWt8oztQmqwAZnLLCJBQ//JgUoeKz2UxzgvZj4/w3RGVpbxcowNJKUbIwaMnXNkOOeBrnA0MUKGyq0O75+Bh4npUlurBumWm/yXGIx8Qj80UQiFNs5GSRxukRSrSIux2UVvlynmqJk9/m4zs+6whutl5dtwZmf+vjP4O//fGfGd+GY83E862gqQKj+ahiHk0hNn1lUEJavyyWlbJ06VvZ080QZfu7DhPYVfeRMl/fSB2z/xLBEtUHF23jBjW1qUHRBc3P91G8MdoAbGZu34ELQRO/ZFk9F56vfNGfOWcwmkGogiQUcb0p7N19BR2UTFnSDVdsPuSiRP+kI6ftCZQQgekT3mZzX6hrf9HUDjbbXQempCAdOXK7M3eaOxxNztx3aD3etr19wkRsJK5HCN5GWAozm+RaeEM2wz1PXVJcsQ2HbntChKBIBiz5rBMszT5LsxO4rbtJmrv/Mxi9DyhV/khrVckhyjTRPHzAy05fG2UJEYyq3nHZp2kJTCktmfAnaLoowuCUO3qlp8l3CbMZjlWm4ADOM+jG7fEYpfeOYzjCjgZPpjLdRUiypfYLyNeyWgIdgK49rh+QphIXFKWE6GrwBMpjN4Z9lkal7mSm1QGx6mQJgyGOlSGlcE5f+wmt8iDlR/+NVfr7g9I5eNlvx/V8BfL1qNM4V8vzy77wW/HLvvBP4elLX8ZPfv4fQ6xq1uqSAxArS2Zy8+OoVCYt15TWuLxeUnq1XilLFmM4ZOm5s/614ZW4Gc6vGa8rXTWldTfD2fdwGY6sLriox1/68k58fWMTuwGT3Q2rA/nZofnZ0NSn4PA6xjU5gyUUcb60pm7rteOupCjBm3n7Tlv44K3MKtI0I65/Ao97B3cYv25NUbIxlcZ4Sn2ZR+suHbmHSU18YMlijv5KCrnbm+ltY9VneFL5UrIpzsJtvVaVHrEtB6eMDt7bML3tA2CauW3jb/hO86wq1YqSq0kOT/w9uFpNiuvPA6W1cpRVpQqeXmt6FVgCYoUwnm8CHY6zKm8Oa1CVWprMwwnoMTSZisSAtDTBWUWJ6INQwhIwfRJNFc13CQ486MdjoLQTKI1Kks1ytO3c6MBZxUDIxlXJ4QxLBkW2vqc4O2gCJxtFHJy2YYYkjatz6y79cyiADRMQYCCu0mSN9WrKwJIhJcadO3Jjsb/18rbfRcqDIr0+u+P4DFS27j3H/DcMhHa4OY3Dtp9bFCcNcTqlMAjx8hLSHZIw5V3DUg+rm+jstWYTK2fVUfQQPZheQet4ngVUD6R6oYQlECyNignj+R3xdK143LZYIcLrhEUa+jGGOGDcszUoYUrLpjlbbnRlAClAaR9aylsI3mlHByUVSU1Fku6oLWtwQgemDktX0WZ6A7yH8Z0MB+29AKTsxM3O28NfafJhQnDk1qwsmZ+SFOY3U5i0UJgkKkzRZ8lMcwZgbpLbOiC5T9K1K0n7KGv3MFDaCZhmdWkNS9EUVwGSm9+OIOkElLQAJVmrSxUYMXAB1hK8DjK9OCzdFw184Zu4NsedhIPvUl6nuDGSt3ZIggPSgCb1MLvRPVEF+aQOShZegZJVcgrP82TxO9oYIdcGNErmuFE5Vst0LYc/JuAgZOFrhKJSXWJIEvi33mxJv31agdOBBV8l5g5Yk2QJ/eKogQbFhwfBw+e+QpVpK+ep9nNrvmq7o3y+31lFW+1jnvSmOFOOfL3ly2Dk6pKCXxdAaXH/VbiO07TktaIMj3RXlzSEVrDkYV83D6XrOE83qu20Jw17jQWUQEkTJHFYe6OiDkoXBS7i61u32AhXeqASQnVEeKZA+TVuG8JT3l52aNlC9rAjNDUIsV7ucg67htaE7TBIUrzDTl37pc/AWyXdRTtKCKlISJC0NUD6BMBX4bD0iOanpHcY330DA9CN82R2W6pIcH+lB9ru0n2Vgp/S28Vynjdy+o7qUnb8dkVp78BkLwQblABI+viYgnvoWDZQ0mfAUlaUIhwZOGWTnA8FEON8PcIRK0YGUAxTs8fckaoUuye8xvTqZjgASzDKPk17is+qUmmGo7ysKl2UoAkORWEJH2Igq0sGTEegxA7e0FjhjDc/M1Z9mgAAIABJREFUOgd0s9zefRqYIhmODhsZieEBQH3cA4afDEshv100QVSULC0dV1V5KzAfJChtXI1iEmvQbeMjSKqmlqZF3MuAUvyd2u8oH/8cVx97TF9VBVV8izP44Wvq72VYgBJDkqe9LzA9d1l7Pa1hKZrf/K85e5ufU9wL49WOXRMo0UHlYUJ4fYKmFB4NjzZIEnqLs7pB+z7tZ/NQITia+WKvnkcAFSg5KjE4VdAkIa1d6dawWdXQ+nkp3kE7KGmEJQurDLXorZpqFFWlTwT4RN0EZ/Nb8ZG6AcRhAipV6GBGBqWuTNkwAdUQAQOm7hTuYG2DTjIgVbD0tkOSARL7MdX+Sw2OzKhp2h2b3NDVI8EDhIAJHZR8mSEp+irNZrhQdsFmtxqSsrokFFeZ3iIArZSk2dE7AxLH2bSqfT/L6cVhiQV9NikpMB68clZJ663IeNgf2tLZm+IcnFoPFht3qVWnMiBpqEppNlAy9YmVJqsoK1haVXwGcYJekW6Ut18gO0+OpzowgI4Co3208ZsGKGXTmmC68NMxZmhazMNUZnGJKRTqcWOSULJ1nJBS/Awxo9HX4oeEYaRI/8xAiSdPOzbPocgDxN+pppZepd0Wt9Hx23oFSnbVbA8OSRwbf4Ndoeff9zhJ676c45TS/JhW2/hwAARKwsrSHaL61CFJmzcTeztlhbTyQ1z5L2aVaShMcHPb1oFpDCOQLlhWl0JdwCd/No/9RvhhUHIIAkChCpK4WTKcvvYfuUJ7829eOZpgKc6MDwGctIMSQZOZ3towAW3YAd0E6JC0DfDROE7SXQSgYHa7x2yK42+8Bd8kSWM0tUpVgpnMzG3pLOVtHybAQWmfVKZHAqioLm14gqYeb5demhsIbWhjY25dTRpfXxkmuUpViopSNRDlyleJgEmzuQ3YhEfkntWloCgJg1Dhn6QRmtiJO0NTK5+2pOL9gtMrwNJ1PMfeXAgBgPSGVUZlYeGp95wmVQnetoex2JBMcSnewMgGqGRICsCE7qeEGDb/JX7jXI27xJWfHc8dHZd2KDHXolD3UaUZ1HUCJQjG9+dCvIFThqWN4giahgK1qIgPwYm2GxU+33DQOihfEW8f4I0gAooD4o/eAiy+7acDpef/7tocCKzPL12ftLVP9hv2FFT57HysYLCC1LaL6pJvXZnjdBSmHJfB6Wh9hqjj8JGyFFAIBknRVLdjV6+ETXsa35cFwotOOSOu5yFEJmVJPc7UpW2n+sHunsb6jU/8VGGq5rF9NKtFgOJ1mdJqlLI6qsHoE64dflhVyqa4DEmzBvMJuolOgU9E8MnGH8uVNlRAHm4l+yDxOEmlb5LPel+kB1gC/FtvGEMEoBoiYJrjGW54W4CSAdTcS848wGzspA37UIrM3PYADfMMSyvzGw9EWQ0XwLAkJSzFUc3mz5as1SUDqUo9ovGSJEITwM+KwpXS+AyN6YVp5sVhqd189AdZeg+QftLU4utQDDxsFUioD/TADIcamoKTtzoosVkuf4rQPmFiihKHKyfwI1Diys+GBxjHIwggNbInB2+6hGMJg6MthftJD1giQUFjO1mrTOPHKK2YlNNXzMDHvNjPmMa2K5PUHL7Ff+llQWk96WL/MX213VG806nHbXBwspsLOsYjULIj9Zs+h1aglJcZnCQtMdLroiYURgjP60cGO/JHUgOpKwTAk+rwYTQgmUzotKygKQ8nwkqTmeA2OCBddtQKNB3HYW+4g3qlelYj5lT4k/PFXNmvqe3eRq66dlhCUIpmv6Xb5k9sVuDtDrzdmm/T00VxvRPsBjn9w7ZjmAACHtxjBqQMRvdpu0pZukNTly67g5I+dQftCvfWMxYmuX0xyveGR+gApdY4P0DGfA90VclAyR2617BkI3crKUtnJjg2vaEEpKAuIZrh5nGUZt+k7KeEHkZ/xqzBEJVUvj1fi6N69f/vsCR4olq+PbhC4dVsDVa/PqMitXUX2CMgWTNRq0oyAdRV5yXPF21mt5thid4eq55xSr9jCpMKxrcuB0zdeWVZ9mLbMAbZHWE6Od3jejD1rSpb0LEipa22W7BEK8PiaaC809QyzD3gCkiiXnO3gpJWB7iIuwWU+HKtf3M6mbDNCrS0jOV4p9CcN677AI+2nVdtprocQ1OEI+n5+PeE9usDYGpIt/UIUEX7fhoO67JiBY1LAqU2kGJzFFTsrWKmZ9bWeccrpWnAEmJcBUvmAL7tfTnuSPuN4btZ1BenzyAojZZrjJ/duPN/SXFWns3X64orHvHU1aQtfOQ2w5KB0IwSW5nvXXcKf9yAp01wvSj2/iFb3KOH0cdX8t5w87AANTChAKhaWdohWxt0EqWixOY2PosKlhywtANT9FdyVcl6u9lQAA/Y8AYb3sBgSTs4maqkJ7AUIclhqXLqPgIloFtCh8IkkDho86gJFopS0fMNSuWtNzoyPdxaPPDWMCI+By84vbyypE+0Yi0+hysSkP7WZY+sdGDyynfLPk09z07xpTlOIxytQUknYLqoRH8lmq3C5c8b5HnAEilL5gC/GzB10Nm7shQuG18qKsV69bA5jbv8Fn9/0cKsWyqkcF61vEfMsthPjJJUw3NmofWzcZHiUss8ddztoHTLb+Zzkf4LuRmrfn/Oka9D/o31uu3bCkgGpdpDiH8lghKD0U5b8DL7NFlvKgtfx36LzvopL8Z6XWQdjqDmt9T/FCMcP7oI7HrFVXc8qQ7YCWquonzhWUKTzSATHAiWejwPG7Bp361Glat8XovnubgY4WZUZrg53kuI313Ow/Wp4tpNcI8DkvaOAtpR4UhZYkBSgqTNYQlNa7mKYL8o9nuB3gtwr60b/z2ADknld9tsVO4ATAL7rElUliTC0oPlbfvBdoWIj4NUK0tuUMzQpMhI2PLueIsN76DdR+nSIekOe4cfxQOab9Ibmi3uHnv3WZph6a6vm29SGIxSGZL66NxSDRmwhqYGOmSCkwhJw8fPajoyf4t6+vA30lb2hMHHHgpjBY7L+WB5X356FTPcmBTgx7FNK2ACzO7eLytE2bVLeoWSK2VtzuFWAaEwySGa4JZmOPjQAQ5McZ6cPqmCLcdcSrMd39UUIekwZRU3WoGcIOkJAZiGmsQVK3m9n4ISUhhFOJdJpdu4mnTcytsn26+Vl26v0DAekx3Mc0Gp2o5BhU/qlv1Vp1vnOXqkV2kevwIlg0ef47rpGPZOmEHJ9uk3uIImb0oZkBicjpbXEHYgWkOTP8+rdX5ZIpjSzA8c0esX3QB9wq5XPGnriqrafZjsJSXNQS1O6vHK4ZuVpjvtjZl290I7LKoX+HdPQal6nrlwaEYihEwSMofaONTOdvf3fhev2Ltb8tV7tYEGkVwAkuNDlaYDmh7RvjG3bwL0QSNxL8CD9CWwPyhBDWbT2+SXpHWPOPZXoqEC5E4h295gKXwgN87o8LMlSGJwQgj7+o63uND4Sa2Xm0GR4AMo3qT5gSDJ/ZWaKa527uZRuyMk5V5vp6pSMZtD99xDzcGorToMzXAUw0NBsuJ51l7FYvyi0yvA0iOFMyBZXIInmlVjnFSj0VoFOCpcr0CHiW4xn5nhrr2yiwpTBCXzRyh9EviFVuvjsQ/98hiN+8XLjn0AnOfh1L3BP51CcHQTJPF0ts7xNkuKr7glp5eTxN8T+2c+J75+CyjNTtPVQXH+vK95Wy33l/dz1DxVMbnJ4kmgi60snWEnp/+dj/8E/s7Hf3J87sThJYNSrTK1/HtYsrrkytI5MLVwBCbeTwQoNucxFPGzzXMGJ78Oo+wMCd9A6QLoI3R/xFUF2sFp+A6RWW7MBCyVsjQNLaAJluCwxNtUsPRsUKpOvi+PkCljPNfAG+XTfvfaqD8NlNy5W0hRqmBJJ5R4C1OTNIFT+3hIkzsEuNsaIDWCAN4A+gDgXmpVKYPSmKX5IRkYJaiaTHN3CogPu2mwhIUzd0RA1sma3rYRONm8DdPbjg3tY7dvsOEDbHgD4ANIV5Saf9KbDkoPHY5suR4yQJIJLjt1OzzdrijNCtNohfvDJv058+dHEU1oiqwOKbV9I4+1CVlhQrGPV5peV1kCkIFJKWzxQkqTAChHUyQ4GreyxwupTU10ERNfev3jvkuRM2QA0q4yhg2wnnEGSQZODkpamORkqnBLB2/04QnMAdQuk8b6XS6IpjeDpQst2Vepajk4DigL2rpq/Qym0XoVv5rLvvLBMCDluAqU9CAPivz5B+M2Oh/QtI1OcdUxzRQZz8qPvYrX03W/yd/whd+Oz3/hh3D90pfxf37+N8GrOU15McJRUeK0DEYGUbcBk4cbMPF+cjhCVhPzXT2mWSqVifJxt1FWlHZfV5uHmnSdfJhQAIsNMLmCpLw+YEk6LPXtt74/qwvQ64bV7y5npHCaYqnVsMzeY3Y17c6g322DpXe4jpGD3uISvHNs+UmYdTJQfdLByCCpmd5ah3ncbe1C3QvwoMDD1lSlN9KWDw2UzPakA4YMdmShLpF/U3IEH2qTDROwRVCCLkbqLr2uPoHiq2k94uKGt9jwiAuu3WwmeMClQxI6MDVAav5KBko6HLwNkh6UTW/q5QxZVdI2WCqSGQ4GR+S8rTMkCbx9Ci2v9jKkmH2NVqBUrYPD8BcGeN7o2E3bvNL0esqSAoMQx+MrKUxxWXk6HFGRb9820uzmbb1SlG6e27iiVOmVlcw95NRh6UnbxXrSqC490pJ9l1iyt8LBb5GsYj1pUqdAp946Y3jXWbIPTk7cZxXqwcSYECKqjAflMyRpjki/sZpqrkiRcVk7e1fbIOXPB1r9+HF6bcI7n1bXIcYfgZL9ZtaX2DQXzXAZqnT8os0GQ3Yu1pUig5HlZSDMoNRG5okAZE0vQ5eN4FNAkdp+CJ4OZoxtCJBs3v2FysPdZL8LrioQe5PpNnD2Y9L0POdnvQIn/gTKnbijt16BrVc0SjPsN1K9MX7z7Pk+eLhmRPcd5BqZH/MrbFwlG1vpChsuIBqZKmfu5qHj6LARQDXPnWZ226AXaZ98eNiADzogvVEHpjTrg6A78XRwWoBSOZ4SmoJ0Jz6eUjC9jU8Dd0duByaU/ko2Gyh9ZazvHSu3jpkXPOEeT3jAPlSkOO/4ABig9GaAUlSXvDdcpSxpACXzYWJIqj6Ua35I0tvJ0UXfyjfQu/Z7WRwQE2Z9P1BiJYnjR7FVfC1UJeC1lKVwUgmOGIomQKJwtT4qRNs2q01tli4Y+puud3q0SrbVjxJBBt3HQB2S7vrSIIlBaWPgKd5OMyjdq/eKu+wETNKvjrRK1ebhp2RymFGdVar2xnvrrRFfBBbNtwpwvylOOwOh27kh7qDcrgalWrW5FW5yev6dVV4+3OqAefv1aa7jJeTwUAVKMc1hyKbss6Qpn0HQKs7AyEDJTXION5bP1ree37dRonrfj6lJrlTZt914RBedYGkrZjYzEiQRFLU46XEWlg4kgn2X5sO0N5pRVYcl9mViSDpRmWxub/u9YTJY2tE+rr3wk5pehrLCVWwzCswoAjmS/ZViGjsw2BU1fyUGpaYquYHJUcGAaSvVpa9C8FVoUJceN8H1smG/U8jd1gDojQIfbB2W+vqbGphwL9AHdCdw1OY4VpHy+kX7Z0zazZxAiea5V9xqEISvon2w5SsQfLVfpXdDTbrHtUNQU5I+hOBDKD7Ejg8HMJljtylLGKAUB6RsQwjcETRFQJpBycxw1bhJAlc8JYzTw2Vd1mVudF0/ASUGrKo4hiXln9KXDcZnPr1Cb7jCZ0k9HMfzkJBWA9QMTRrS2izKrmejoyOmt03dmsJk0IT2Znrt4GTjLV1UBygZJD3twJMKLioNdrSGJq78ss+SARjD0qB2wQAkvdDy2irZqRK1S160xMKBBEGTktnzCIVXjXvIF37oYIPVdMw4YR+3DRuAKW4GjRVcHYGSwcHq4C2mfpBX13KOZ7+l6pg5T06z2X7fqkaFQ5GFbZt9iosqk4Kv/XwPGJSkiLNvtpmhh32hssLUIUgyLG1QPKUmnUBpUpJsvgD7I4UJovZWJ+x7c/x+2q/tedUduu9BURrPczKXjbfs5L+YzXCmLKErS/YpFAMjYVN6BUlZQQZBU12IionBiXe8Ww047gigwwRnH+zwQSg3+NABPEzAnnq56QROb6F4twkeLxuu9wq937rZTRoYfZCA6aEApntpqlMwyyV/Jhs3qatOuItpuFPI1h26pX8kN4BSHyhSDZjsw7gMTKwqfRWCr6CB0lc6OH2C5o11xQX7cOT+EAZKOz4E8FEPf9ABiYEpKks0xpKwqqSuKqn3hou+SYKL9KdLHZI2UovM7+im8jfWHZKiCU0RfJi4+Fn6ACcPN9Me80Iq33mcmZvK/aebvgY+S8DUsobWWhbpNVRxpTzN/DZpy+Cm1pm6w9Uw1fW4XZsUeUEDol3b2VxVhtJksHNnENWhSXb1AjIKlPtHsAnuaQfuGLb6kUkfBkCvGB/c3anbnuSCyxVoutzDUXx1mWmWfFtyWgKukA8xfDPz11wRkiMkrKY1MB37J8XwuZluddAVSJ1PVX6P83PJSlqGKZ3StrGdfdlrVpcyIHGhjXHR7JaXDErW847VJIMnV5oMkFpVbh+/tQ/gZvWoNduKDaobVCxsNmp7oyBAmkCJ1CaGqb1tv+/vOjAB+/7UVaV9qEugJTlBDpUpO3zbi1VWlvAEXJ7aMy792ZYKkipoqoBpKkRV61TNcWf2ysjKkl11VpXavHcg8j5fNSTt5Oas3b1Z8bhtuN4p9rsN+4NCDYY+wKwovZE+IqOQ/9IG3O+xt9y9tF50XUVCH8iyUpaQ/ZQGKD3RskOSsMJUKUsETGrQ1OYNnwBiwwO03m5v0BSkD7HhQwg+goET8KGiO3vvPmyAODQZKD1Ag7/SPcz0Zv5J2mFdul+tBEhqMG+QlHxspy/VF+UurMtUJllRUhiEERxxmb1pmbbN8S88vW5vuA44Uzi3slXaCpgqX6ZyTu5qXKn2eCGwumDDpr1SVsGuG3YV3JPj94ClndQhJWWJKlErRDbG0lXbcAFm0rvbaXv07QTNN+kK7E+9PmdYyvUhXaHRhNJlG8B0MA+lieP4kqdbNQCsACU+js9uyjC0hqMaMrDI6wd+Cygdmefmc+bt3v+8ZlDi7VghytsD2cE7z3n4AcAVqxmUON2WBkcMSgY9BkYWVqB/Sd2HMjA48mX1YgOCqubI1z9CNEESwdNOELWzssTLy1jf9R32vZvL9KkrPdoqevMvUl/yiwtD0xiMkmDpDq4s3V0dlmwfDExZYVrCVL9lMzDliCNg8rld/aYyNViy4QLMY2cnILIlaH1PSwan9uHdd5vgaVPslw1qjtwGRx/YUrq0IkYLwdF7wBOD0pgB7dAkfQgC6TchwlK7QQ2Umq/DDEzd0Rs1MIFUpW0sm6p0wVcBvEUbT6kNNvmA1uutgVJTlD6CKUvm5M2O3qYqAfG7cC3eTXBuehsGbAVEfemdj7SX2T72UTC5SQ1Iq5fzPEN9Pxl2QhzDTwqPhobDRXGuV15kekVYyuTHhJjCQF+vgMnWpYe6Q+cgWzmYSXp3/QboUORKU6tYJbytXgYw7Sq466a6oSztUVka/kesAFkl20HJoOs+w5adnbUJXVGyOVfOdu3ELhFB0VgnRhQ69bEsQCnso/8Ag1PFtaV6leezKbLHDdMamJ6jJkUAWec782NaxdePM5vajvIeQ6HDTgQa91kyiDkCJO4Dl2tGWawb6NhxGJBlENpDvH+Pzs1z1Yd+25fcrsXcTXbmxKdp3nn9McaZyrSnvDuZ53Zg3wW6C7Q/gLprVJmKt+7h9E3AVPks4am9AG1P3dE7gVMYBC6tr5y8Q/frqTSxYng8/7/svXu4LllZ2Pl716rvsvc+e5/T94amGwS5KCqg6W6EgBrFUaN4SZgYfVDRGBKPZjLGMRoz0o4aZIwziREnGh/BC/I4RqMYRzOaBGMmKsgQY0Q7gkBz7W77cm77u1WtNX+sS71rVX3f3qexD/MHdZ511rXqq11Va9Wv3vdd7zLR94/EexNgqYuIkJxQmoFMJQFSjw2GBS7KVgIsrcWzNp6NNbiJ72e8ZTslSkjKcQVHWqqkQ6MDeZFdrGQJU4qxCZbC0iZIWrw2QNIuYEJJlnol5ALPMSbaLNlo7N0bdSeJkWUPyz6eAzz7mAhLVLCknVImqZLPcbJbSlIlrXITH6RJEr0dixMkra+Vl7WQLEHyTkmW9LpbTkaftUHIj5mCHlU+VKvV+ZFndysYjT3jj//2UVbDnZAfqOd0WR8P7J5G82kgVwSQ3QxEzW2WNCkRPk1IY7DeYiIwGW+CWNNJUNVFu6XGS5A0OclSpn4A9dmDd5IsbbwwibDVpAGWfuBLH8Ougy4Zg6bj+RJeRMWJBwtJkqkuiQYmHSJcedUuw9YITOlL7vX5DG98eVtO2rZC0wg4+LoOvKj6UchI6XCAEqzKupPhqD7G6baxPj9mtF7bB9VwpGGmlDAlWColS9tdB4xB11is63u46UFLQ5TL6VI1pw2/DfhUlgDJ4iWBUQ1NQarkseTpojvDZry8BqUMSwLO4J2hc5uQ9l3sfy7YgCfpT4KkGpRcL11qJHpZ9uGjiDactlbF6ZAkymnmq5Yq5XT1sho+ebvAuKcwr9JChyMs4kqE2OCxW88DGzfk1nKVBS5iQ/SnJJ61CGvjaa0PoDRJ0iQNSj5IlQawZGDmelCauqFUqZGd0BSYWpSzIY83wbjbR79K3rdx4Vy1qK3voYnC2HsDMpQsWQkz4YjKx4YNU7oIPZY9fIajAxXvxfRcQjoZgCdP3hOIrgL6Z6nBRImSx3ofJZm+lxw5D10CpBFQchKfpVgeTUX6R8X3IL7VsNurfHL3o+rHwKgAITWmboUiBWE7x+DHb7vGrgOoAEhvUl2oEVDS7UagaXdaQ1JFDlodl9PaorqXMEkEJnEW8UFVZ5yh8SFMnTB1sPZRYhTVa8m3SrZZclEF5zybCFgDA29KWEohOfEy6q8sYCm+FyX+KclHU5YojbhoFXUJMiiNQJKY8lKmE9hqy7QLnLbd4tFG2z4lhuC0W+WGas8JdcO2fkfdrg48PHsZKR0rSyVDgBrCkd4/1fWwpA28a1AqX6ypZljXh6QqK4GprNPwpCVL+mXdQ1MJT9qBWFLZ9bAEXbRVim18F/toEygkBdfSg1LSZVvC4osxuEoS5Uxf5hq8s3QuOLF0ztPFkICpljBl2yUNS/RLUlgHomDJtiEvSso0FvSkjhqYCmkTnn6WR7qnpfQouXDogSn8iMRg0jXGZVja4CtY6oFpUaQNxxiO8SyiKm6NYWMM7cT3EqWsdiOKVDQoqXRSwdW2S2NG3k0VrA8OLnMweWjvpy3Ha+CDgbdPM2h8Us3ltRxIxt/JpYBnTXA0uUC4guEKQaqUQGnNjDYabEuGpH2EA+AAHwOFdClJmAJgSZYmNeJpXASjGJuYTpIkcb6SIiVAGgOlCDpZgtRD0xCM/AgoQfHuHsS+rNdlut1YHSP7bm37+G8fJcmS2vKFGLt4JwBUAU2pvoKoWhW3C5wGwJTsIkpokhibmDbe4l3DxDU4L7ReBqCkBzfnNCwFsCraSmjr6WGpi/sk04n02pMKjjIYjcT1IkCi/rwBNEWplE6jLlctVarVf/UzXLsmON0jPkZTYxDUt9k+e2zbvhJrdrVNLbaBUrnHSeA0bK9Bry4b/p3b4UjDT29LFMrTvBdtFD4EpJERMh9zKIHSKrcESb4q69NDVdzwJV7Ck82QVOqj+pd7hqTg6INSyqTyrlV1TQCoApIUNEVICmENzgYJU0cGpc51pXSpkvwkKZN1/Wy4LFnyPSw5pY6TLsRhFkkfSw1MtTF4gqXqCdL+CEoJX2/46BUIeAVLEqUqnpYNNkqWXLFoRylZ0tY6IVyJkqUVnlY8XePxU4+f+16iNPNx5psGJXqp0pQKkGoJE0N1XJIoZUDyBK/gJor7pAAlr6FRifOkyvc3IgKT34Cs8dk79wLLcVY6GjZMIijt4xQgwRmEQzxnsBmWgkqunyUXVHGS7ZUC+wnGeUznMc4jXQCjFAePyqjFT2UY+zqOz4q2VSKBkYImPURwihhfvp/TcYt3fTVWbgOjk+quwXaNlzs5zTbykvFj5ZUII48LUsbqDZ2ds9fgpKEpxr5yL1DaMFnENxGa0hfqJE41bmicxTpbgFII4WFMC+UmYFo7z8RJVsMJ/amkj9zU1sUHzAuIEYwBifOTw8wO6dNRg5hASac1OGUJlAYlLWnaBk01HO0or2+dZuTBHa9496TNI+ptcXWQ1IPCLhC62nx9flezlec4nJ6vf29MqlQD1JgaDk6CplKqVLYZgpOp6rRUKb2kdZ0uU+C0xYK5lyr1cSFyyVCkpEvEPK2q30QoSmVJslSHiQoRojqTVRZBHS7gXP+yqqAp9flks6Rmt9NEyRIbcDGYFGK5bECZzvSQpG0WNSgNOLe+X0Opko8H95HKUj6u0IbEBU4CLHnlubtftGNo1myyvVKQrRhWYnGN76VJSZKU9EyzkZChCKV20+q3mM6QZJRkyZfAlFaLNY4wYMZBVq9N5ZWH0Oj8agDyvpTGBeIN9ktIuCJdttoKdkpTHHMce3gOEM4Ah8ChwCGWQ+AMngPfS5bmwJ5IL1XyMPESpEedQzpB2gBIxbTqvPyExNPsgcm7BEMxTvZMhQ8kH58nBTNJQjkw1lbxIK3G2LHBb+uAWMFVsUM99l377drAUn1xTp0/iTh3ANTgjZve5iqt3+46rSVM1NBUfYkqWBKXQpMHWXEG2xkaJ4X0yEdYWrvY5x3YjrwiuTfxVZKkSr7/aEAELx5jegBKcCTWRyNGyWVaZ78zaImTUtvltLo0hXpul6RJ346x20PqHz6XyVij3FjdxgQGnngCY1BU50uAGkqLhm0CtFQnUOVPqh/7M8YTcJA0AAAgAElEQVTBaOx8NRwNy0pwCkd/9LU/zoXX/ji+62JZuJklIKV4e1rjk4ak8kVc1w0NybXBeIKjQndVg9NALackS95RemtVwEQTy5MkqRlJb+jVcJOQ9xvw69iv1wqcLHRRNdclnXiD69a0rmXVtXjX4TofJL8xSEcvWRqBpQRFTYQlq4CJqJJLAoykohuTLA3Ucflu6XtUQ1IvneuBaUOYS7XBKHWTY8KGMNW/9LHUS5OCFCkooQIsRX/VYmhtAiUb5sRnHZOP0iRGQIkKkiiBaUIcNJNkiWjzIL1kSdklZWAyJhJs/Liqpx766uIWkKQvtHoWE/WyAVYEG6Y1RtY00fnkngSp0RkRDgWOgHOE+IgoXRKy24C5F2YuaCcmTrBOaDqH6SQAUuuCHVINSf1aXT00Zad+CowiMPm0iG1tlD06vd/3785tkKTbMNbmhLGxPtZHCYq2bddQDbcVJ0+/nQqYxsrSg1AB1Cgo6TiKdwpoGjEQTV+jCpqMmzB1U5puytRNmXXCLEKRieN9G2Fp6WDSBVjKtko2fiBYNXNOQhkGjAVrwVRO1uoFIvWMkDFwEiVxqu2bChumEUiq7ZdGDb51OWXdtr7w5/CkMA5M+uh1flebXWW7O/TV/S3bgE9Dkf7duqyvO3v+b3D2/NfhLl7i3WefRk/DqU3f3lfxEJ7G87vAaQyshlKmbeCk0j6pSmLw6kWlVXEZmBJEtZTQNAJQbhJFO1qqtAkAVQCTCt0E3Aq6FV23wrs1Xbem7Vo2DtouwlIMCZby+9/HMaAF1j2juQ2YdQgSQwFKya5pTBXnUWo4vfVwWkuUtIF8AKXk61kv6zHFsY72StohZW/SnNRtKRxjWIpjZS1tY6Mhtw0SpT0bxSa+lyzVkFTAEhGIXJlOUqTsY2mLzVK2V4qPvijJEvTP1ygUKQKtVzYetOvoxYHBYaWRDRPpmAnsiedA4BDhrHjO4bkOz1k8R1jO0Bt4zxGmTmhaCTMlN4K0IQQvyCdAUh2yai2mty5sm+LUvet8eqRGHrRctGMsfKz2RSfucu2g6hp78M6FJ7xFdtSf+u2jbnRNu4WKDgVIsUxLmIp0LWEyceBNkqYgtvd+irgpxs2wbo9J55m6GZPO5PWgui7aK3UBlqZd8LuSJEsufjy0k+jPSaCNKjlJmoa8kCSYCchUwZJOp3WRdkmYRtRxWbKkIalSxWlAGqjg9OVkBJp2xbu2rf3jJEAqy/zgB8eAKLWsf7Av8yNl27excxzP14bqteRpu1sEXVar4fq/qGzbx72kiCr21b7j4HQyMFUvnwqcBvGoS2slYSqAKcVtn/eRNjIwTejVckmylCROawVMKnQpPYVuGvKdxXWC6zxt52idy971TZQUJ5cixfvfRaPuqNPyazArsKsQiwamdXgHiwKnwjeTupS9G5EaTkupki8gKc00NKSJ58IEIdjiOGycBdfkifLJnFmr3gIsRbPmxtJOPN3U42e2N9iu58XnqV6yBZToIWkSKTMBU6MAKUFTY0o1XAYlX0qWskRawXle/E+FrILS3UMNaKCOoWbQSUtjWqbimBs4EDhj4MgIZ4FzBq6DCEvRfYCDuRNmXUeTno21wMrj1w42Aq3g26CGC1/QoiCp6h4JhPI6hwqU4nlLDUMDw+s6/1i304yLVZvTvAeuDSPl7aNkszRGp1dBR74u3tVGhuWo8twBylgGNk0mL+pZquassl2yJMkSbgpuj2SUYLoNs26K6xq6ztB20WC0g9YJxx1c7MC6YI/UeU/bhOVUWgOthbYR3DSAkM3TakFULDMwafApZP/0oBQ916ZJf9rQWxQcZTBKZXW6BiaqMvpLCLGcsm0R6+00fSs3PD0g9bufDEm7yx97Tx0+rbWvpRKShr85TPvRcr1/cp1RnsW4Wm5bPEz70fKybAyYhmqibfkR9Ue2qk5glOBpBJxqaCrCRKWTKi7C0zZgyqGJYl+BTvCtsOnWmK7Ddh4bJcXJfUB6788IH0lNG6RIrMEtwS6DwMquQJYgGpqiei4BEzUwpcujb61ayG4ISsM19ZLf7jC+NaSFMjpMNOxulDchlKuAFCxLcSwbw2bi6OYeN4/G3HMPczviQEj6OBlwp5lyOtagNPHRWl4BU5aiO2WrhHJsRS9ZygOSp3fJruCoAKQERtWHcpHv4SNBk5GWxjhmBvZNAiU4Mp6z4jhnPOfEc9ZbzjgCKHXCtBXsRgIYrQVWDlaCrCV4Lk5ekNPCpc4HWyRHD0UuuA2oJUgytkCtjtF/Rz02fgRUsnXXeNxt9aPlXr1YPsLzegzbR9HAu+7dI3V+W30sq8fmNEiclrvyeK4vegVOozPolJil8BKsVHJuCt0xdHvQzaHbQ7oZTTtnr51BO8N0TVDJdXDcwaMu+GlCOjrxtC568zDCphE2U3AzMHPwadDZA7MHfg/MLAQ39chUMFtAKUuS8hRahsbdomLp/9wBJMF2YEJdOn1pqWCKkfRVbTUw7SpjR3ldN7b+W91e18mgZHw7zfnugsBtA4Yf+V9Llmx1zG1gtKsuAc+usqH0adyYfNwGKr3kh+kRFUg2zB0DpSo9UMdVwUVgyvE0SppSmKoQgam1MW7w3Yqu3bDuWmzbBmPcCDMT6e2Z5w4mLdgkWVpGYFqE2ERY0lImPyJZKtRxmU/ra6jX5CvX1HPx+e5jCB8Rvbi5Jc2Cs8Xst+QqYIFlIYalWFaNZT2xtDOP3/Ow78t58HMJYJTigaNJp6RJ0oNSE0Gp8T0kNfTgtC3U9ph5LEowoZ+j9D5Jg9oue9U4zmftAup4HWIcjYGZhQMDhxbOClxn4DrxXCeecx6OHOy3MNtAsxbsKkJSDi7EGwlqhWSrVKja4m9nCZJ6/2lpmVdjRg1IuV/uHldy2dUAjtTH2tZOZ0agqN7n2nIScK1tlor3wzZYutr0KesGxSOvsgRJRXsFTWNuCLYZf/skXZqF0M3x7R62PWDWnsFuDmnaA0wndA4u+jCeWDqcb2k7z9rDxhg2E8Nmbmj3wO0LZh/8Pkh0zuH3BZNsAKL6zcTx3GxTvSUwsv2fUavacqxhSAf69JjUyDMCReryDrx9j6VPvZ0ejoaOI8egZKx+WNdDwdWe9G5g8sXvDc9vqBrcNsAN1XB+pL8M4ac+TmqxC6JSPJ4eA6ZUXuJTrZargclH6BkDphiPQZOej5/iApi0Ok4bfSfDIgVMWsLUTqCdQrfEbVa07ZJlu4JuA53DuLhwqsCaKCTYBGkSC/ALkGNwi1BmIij5CEomnoJJwJTi+OfnRXz15VbXLUiUQkfVkJRqQ3DZeiy18wgtnhUtKxqW0Sd1WCLWcCyWhbGsjGVtLetJw2bqgk3Svu89Lu4RAGne9ZBULFvilHNJryRJRCiKoNQkOKri9BGYVirW412WKtG/uDXcaElSGv8HzonTrMmJGtdTWk0EiO8EI4Hn5hYOLBxFWDpLH46c47DzzKM0kWMDCxdsMtYONhGOWhOlSRUobQWk+N/oQrNj4LJl7KrLE2RuA6bR8VtDz8hxdo35V1X3WMbfq9+usWSpGoR9VVY4UttRdopB/eQyfQ66qS+bKmjqn4ESmnySNjkh+WkRpzpYN43SpTmmO4Npz9K0a0y7pnP7XKFhisfQ0dGypmXpYWkMq6lls2dpz1jckYWz4I5AjqA7BDlDGIWT/n8a7Jd8HGh8ZcydBw8FSXk2m5IkaSmShqFC0gSns0Paki6B6RSd8MRtDEDqg5xUP9Zm20lsh6jTbacFvHq2Xf2bY4PFdlgaHr8+usaaukS3H9aVe54EVKfJ9xhVrmCrjXJHwElLmTRAZemSVtHtAKYc1hGYZkFflj+CptDNQmiX+PaYdtPgNwbfCrQrrPPMCeyw8nEG7CZIkPwxuCtgroBfhmDWQerk1wGQfHIpoJxXZglTvASS3o/F9XMRejrSM5RKfQak9K/LKa/qW1pWrFgwiV6EbLZPuiINC9uwnDSsp0GixNwHODqQEPYl6KIyKLlyMdy8CG4CJIkSJK+kRF6FBEQajKSf+TaYCUcJTPkSRdjQF65wIZMgqVOAFJ8V10YTi7XSHMTnwU8RWiZmw8z4oIYTOAOc8fRqtxZmrceuHCwEjl0ISxf0tBsXZ1+muIajiLUZlIqXVbWlugQoKZ3GjQQ1FcSMjd8aov5c2unzGanfud+13a4dLGXizZmRPOC3tPEqzgfcMRiP7aMpXP+OH9unSmsjun7UIc82cKKCCfYMydhoM4lfn3NkcwDtIbI5i/WHGA6AGS0NqzgF9yKGi53lsjSsZp7uEPz1AjdJsA48Evyh4A9Cn2UPZBb6tHYfk/ws1So3PXicNKNtzP6ogBwVl/CjynS7On21ZWObjGXGB47x5UhOC0d1+9OcYAlEw7PS9ka7zmH7b/otf2vYJ0mTLDJQw4397tXktwPUeNkuw/ItZdkPjn6xKVjKtKDtmFJdAiZl3zQIWtJUh00Zkk8dv1JhLxCOW0C3wHUzXDulay1ubWFjsN2Gva5l4T2LDvba4DKABbhjsMdRBbcIgGTX4ecTtxl1itJRePn2CZi8eu/4BJjBRqdETo1JbQwbOiYxXuPj3LeOJRvmLJhxzJRLTLhAw6NMuMCEK37Cspmw2nNs9ie4AwkfbvsGDiIV7HnYc3E5Ex/XgvOVATeli/MBJIkyIfC9o0kNSZX7k5CW3iGliUCQpxurZ67QEtj+eUshqbo8/RjfEUCmXUG3gPYYuhV0LcZBw5KZX7OH48DBQRdUbtNNuL8SYZiVi06rJBv7JzcRYbq/hJtcaDOqQRqnYMf1A24WOVL2JaGHmbG42B+VRx0LVTcWj4GSL4+FPo8qP6jzFKo5/aLJD/7ju11DP0sVEJHKxiCIEmbqAbQGobG0GiL0AFKm6/3q49edRdVlN/EwmI3QkQ0/8zS2jYV2it/MkfYA78/gOKDjgDX7LNnnMntcYI9HmfMIM5bNDPancJ2HW4BbPVzXwKGBfcHPwUVjyTTbTRoKjeDAHil+ONVAhAIlD6eTGJ0WhnaAkB+rvpqvhq1tt8HG6Q/it+ZOPsFyXxmUnHwOdfttvzl6BdW2XbI0fkZjpeNl26+P39LKD/4v2++INShlgKrslzI8KZFL6pBxodTharXa42PtPnvDAJqyam7Vxy4aHbnjIGVop/hNw2bdwNrSbFYsNisWmw3LtmO5hiYacrsFTBIordRPKSBKzOeiwbhzIc5/gv6Iy8+DKxC1V2t2OGyEJFuEjiZC05KOBS0z1sxYMuUKMy4x41FmPMyMC8xYMGXTzOj2Pf4ccCTBmnnfwL6NUiYfPXUTFzhLoOSrCSh+aG90km84MxKbsXwFSvrZ8lCCEurVkWAlityzTapyVNp1sNnAZg2bFjYeaS22M0xb2GuX7LWwv4JZtEvjGNoFrOMjZNcO03bRLUAMemWJtKRD/rqN/SH7ipL4fIsq13BUl6t8BqQRUBIU9KR8vHyiAYct6RqqZKROw1Cdv0poepy3awNLxbsiXhRN9nnwY0dZNXAOvkpVvp4CKqp87Eu1jouHUT2UxQO4o17U+efzEqABM8GbGa7bo2Ofjn1aDlhxyDFHXOaIixyy3D+Ao324fg9umsOtM3jCFK5zyJkGmVv8xOCnklXnSXqkw5iRdv1gb7Uris9njhl5Nqt8tl3SZWP71dtjfeZPYoVT/cBJIHPS/idtpz7JHb+37Rxla6sAKttg6TTHfix1pyk7HWj1LzRPeuXnvpvAKavfVL4I3Uhax5FCfBfUK4W6Thl+uxQrtVy3jtKEFXRLaOewmcK6gaWFlWWztKxXC9Yry2q9YrVasVq1TFfRZimFaMxt2nA6ScUmEY6SEXf950os00NXum5BspSuXFjoOKnl9Iw4l0MCpgBNLRPWTFgxY8mMK8y5zJxLMWym8yAmO+zgnAvz4Q8lqN72TFy+JIZpp+ySosF2ciSZgw+OqZKKTYe0yJ52BWC9AiKJbOGppee9E8pqcEqglAdGKlAy9OsEGvLknW4SpyebaITdwaoLOtaVQdYNdmWZrA3TFcyXS6YLaI7BXAZ3OQii1ksCf3cG6wyGtLB7GpjTuUsf67RhWJbT/WGKdukaiGpTtE+AImWbYv/Upgp1GVva6+NTtc3t6jq131j5NdgeEyx577l06dLpGq+v6B1jHNOpY4+ld0l6qPJj6rWxeq3zxYdRqC53rpckuZSPI1Ke8RBHqvQ5l9Y1SPVWf9W6XO+b+PXiGpyfsmLKReZckj0uc8CxnGFhD1nNz8DREdx6GMINR3B0Bg72YT7DTxu8bcDYPN1XvIRBNn5gON3n4kM/2leKuH8QC27akc9lKjH2/MrWzPZ9/ry30yDR1bT3O1pt2/ex40WZ23Z8t1rhV6u8j4v91F24nF8I6bzHEGV3PDTRHqZHjpu6ZI871b7bvS/lY6Y+nccI1S8d5DWE9IJtOp/6ctep8q7Ph4XfyOsQOdcLmZKEuJP4knRRUjwJ1tprHyy31z7YnCxdNNYFFoZ2NWGzmLBeL1kupyxXa+x6AytHt/G062Dw3bRhBmzjfHZmaTxxkdQoIFHxQIBQPB8eEBUTDbuDiwBPWAHOSTD4DkvnGloJcSeWjTQsaVhIw4IpCz9l6acsTQSlg3n4oDs8A2f2YX8f9mcwn8NsAtMpTCbQTMA2YOOME9Eio2grkCQ12pdJXhjTgDXh+puYNhLaJTgwKl3AA9VLv+ow+qnTkO26PnYddMlWqYuLekqA4tUMFvuwOApTmhcGt5jiFnO6xT7t8jLrxRVWizXLxQa54tgsYLWAyQYmnTBxBovBiMUYg6SlF0wM1oa/z6S4+vsKCZpO+yCCLKDGx2ulrkuWvEl8gZj+RZKhxgyBafBCyS+csq6AJtWekXwBa/TpQTtUHLeLF+ubu3M7PDwM78ZTbuL9VgdHW7eLFy9y9uzZq93tY9vHto9tH9s+tn1s+9j2se2jvl24cIGjo6NTt39MsHRaydLFixe5/fbbed83/x2OZrNeKqRVZcUXI4Xk587XvYG3fvVX9O1rm6Qxe6X4TXrnz/4ib33ZS0ckTEmahJIW6XLHnb/673nr571YfZW6+BvpS0OX63zHnb/zR7z1zqf1XyFdFOHT4qWLMzYcbupZTeHCXPjAXPi9qefv/8QFnvOt1/OuG/e5fHgWDm+Fo9vh6MlweDvs3QzzI2j2MM0UsQ1iGoxpWH/653HwO78RzXgFQYiC3ShpFfp/FPEH7n4ht//uf8qwrmRMOVVIllT9n971fJ72lt+paoebjOTeedddfPxb3rJ1n21bd/Eif3zHHTzrvvuwV/Gwp6dP/+5p2uvtXXfdxdPivn5boy3Ff3r3XXzc7w5/9zSSpffefRd3pH391p8dSJbaD32ID3763dz2B39Ic9ttxbHriZ9j8f2ffhc3//ZbCglRqt+ajplHX3AXZ//T7xZt9JyJbeUe2PzFuzG/Fff1UcZU9PUkLYp9PkmAnYPP/0vwr3+jlyB1laQpS5C8kjR14cv0r3wevPGXYbYXpAltB22KY3qzgXUb0usNrNewWsOPfT986Svh8hIuLeBKCNPjFdctl9ywWHHDasn16xUH7Zr9bs3Ub3hj916+zt5I41smOBrfYUl+tR3Wly4ktSvJ76bjVQgw4mZVKBYnSPbCToLQ5tVL+JZ9CfbKBjoTHOB2RugsbBph2QhXGuHhief+meeBCTzQCFd+dwP/3U1w9jo4uB72r4f9czA/E67ddBYlS1OYzKBpQrqZwLfcA//s+4K0qWmi1ClJTqIkJUtTlERFDPzVr4Bf/LmQztIV00uWpIqztELgcz4XfuM3yg5TiDO9Cun5iM/Ly74Ifurn40y1DpYbWKzh4goeWcAjxzEsuO7igqdeXPKMSwuefPFRvu+9/5x/efav8YS2Y89dYebD3MKJbJjQMTE+/rmCMYI0Eq5HI9z5of/KW5/yvOCLwKqQJEw5XeVFuPO3/y1vfdHn9tdKS6QKSVwlNTLCnf/653nrS1+m2rBdspQlR6HNnW/8Cd76la+opESVFCpLisjtLq7X3P5Pf4D3/d1v4Wg+J78VCglVtT/kdnf+7E/z1re+ldNuVytZekxqOBG5KiI72p9yNJ+ETA07A2BK5WCtcHQwqcqHUDU00HZYIxwdNFWdC6NEhiNRwNSfm7VwdGh6o8kESh6yV1RV5/PxHLaBwxs6hI7eK3CY++vtJiwCN2txex2r6C/pwgGciXdi/tyHmd3yMJcPHob9New1MD+A2RFMD2AyRRqLGIMYgzE+AJEVzHVNxiOj/qW8DP5FaLIWc24/l7E1HoEna7FnD/XTsQWWhqVp3+2INbKpF7w9OoqwdPoH3qffPTo7rNj+U3kTa7GHZ3e2GZT78X13HaMuE2uxZ8Z/V6dF3QqfnlfAnDnCxP1rIKohSMdiLObg7Gi91qrnMnU8sRY5ODf+B237A1LeWMz+OaV+S/0MSj8zCpJSbBqYnqvgyPdpE1VuySioi1bSJj5H5izIHqU/pmjH1Kmw2URw2gRY8g0sroPjFVxZwqUlXF7RHK+YLFdMlyvm6xXzzYo9VuyxZMoSwwfY687SsGZCS0NbmF6bImhFmsPQsYdBz3lLL6FiecsISF6i+Y0JLgr2Zz6AkoXO+uBjM7qPmiR/bVPYm8HePGjYphauADzhQnAitDeB+TSEmYm+k4iz3ST6SZKwnlNjwyy2s74y4DY9IFkbAakO8aV/dhoBIKrsUjBqFksqQ/rYWjh72F+cDEn0kNRBsd5a60IQC/b6qJ6Nz0Xbhvt+vIYLK3h4BQ+tMI+uMBfW2IsrmkuPAjC78KwwM47LzLkc5xcumbKhMR3Wekzjw0LojnC9ECwNR92NDFVhpr+pWZ1Vpi2GIznq1ZQFLFXpyvbJYjhqzgzKB2q3kTIrlqPJwQ5AUuUatAgfeUfTA46m86pOH4eyPG7W2qvikqvdroGBN73PjLRlYKICJ1S55/xdzwmdbnQ0HoGlnIbzn/asMPuiaM8IcDHIn/+UpwSnagMI0+epynpq4hs++Tq40VPMBDBE3yHA3CEHDnMA9gzYA5jsh9m0AGdug8Mb4cr8mOX0AkwfhumD0BxEw8cl3h7izT6GOcIMYcbk/H+PcCnKlVIINgBRtgQZmEpwOjr/dYSXQkJ9YAc66TbXn38leaYGxEG7hBeJX75UpTec/wb9UBR1p9+uHrJu+Ibz2ynnhP2v/9uPYd+4//V/6yr2rdqd27ZvVaavtADRxrc3sdux71j5wd88r2Za7dh3JD//G+fDYzUCRqKGgCG9gfna82nszC82SR8mLn2wxHQdf/nXh6nYnYR8cuaX8ya+DGNdG/PH0cj3soSXfCvROaAPtkkbA2sVVjYuSeFg0cBTPhMensJlDxfDcZpjy3TZMF3NmG02TLsNU9bMWAfpAgvu5ElYzmJZYVhjaGMIH13BiihYFgULo3AzhY6/RBP7l1Mf2nHsMeNBImN8xkFgQqN86do4nV/i2iyTGcxmgYP2Z3BmFia9PQLMz6xpzxzTTadhDbiph8kSmgU0eyHYOZg52BnYaaCvL35+sHQ20YbJpFXAm96mSeKMlWS/k9Jf9WWEtWBs/4dI/KNQ6WzMFe+pCPyNV8SHTI1jGphqbxIbohE38CVfA8eWvDjeFeBSvBAPG3jIwoMTeGiGv9jSXWppjzs2yz0AVtzOBoOLq+kFK7AVE9ZYt0akRVxLXmU9vmvOn/kk8DdSfKhnNwIqXYTwt52/4znAwbBe1HFElaXrIcL5Z30a+HkPJ9nwPF43qfIqff45zw8Pka/qNdwUC4amvyMNUGnR01RXtUvH0eXA+fPneTy3x6SGO+2WbJsu/KNv4Wg2jaUaUPyW/BYg2dlex67PF3VuvE09mybXO1U2FsIXqddrD5iQFttCCs0GJi1+3iIHGzjcwNmWzaHn4gF8aAb/eQEv/xT4knfAe4/gQw1csteznDyBrnkiNE8EexOYcyBHGDmkYR9LgCbDDMsEw4TwTRHWdzIRnIJkqQ4lOIEM0kNo2g1QpQRJBv9TpcdSY+3y5oMa7g/PnePZjz66XbK05akeLd7RA7ZW+RPqdZ0fKavb+ZEynd9Rv7XOw+YD7+e+p9/O7X/yPprbntR3n+q3/bZ89XcWed+/a/T3Rqrf8i0yyA/mZOh0Dj52V0/hoK/zpVTJ+VLNlqRJ2ni7i9KCnI6SpksX4JXPh3/6W+FF33ZB5bLpwoynTRvidQurFpZtUMcsW1hsQjjewOU1cnlNc7xhttxwZt1xQ9txo3fchON6Ws6wZs6SCcfR1eMxliUNayxrLBsFTUN4khjIcYSoNCtX+VXTq3To1TqcmgnfNeQ1gpNLkm4PNnM4nsHFCTw8gYcm8ICD3/8huOV/gtWZfVbTfTaTfdpJ/PJLoUnxHjSzGKYBmlJsJ30wUSWXIarpVXMplihl0nERTJlmJE7ituwzyUdAilDcEuHYR+N9B0sfodgF55FXOrjQwUMd3N/Bh1t4sIWHHdddcdyx8Dx1A7d3l/lBPoef5te4gynXs+Esaw5Zs8eaKSswS2iW0KzwzRpp2iiFc0HQYH2cKehPcKEgPRTblI5wYXR+pC6VSVWWpDm67uSZQuMxI+X0+YvrJWe//9u48K2v6dVwxb4jx8mbwHf8bR7P7XGVLM1mM171+S9iNrdhyqhPVK9H4yqfiHG0jPLNUpTptIyU+apcqvJ0bjUtp080XRXbiqGfXeDJU1asD+Jm7UtkLjAPziQ5Evw5oTts8fsOaWBvBZ/zD+DoJjhq4BiLNx5jV6zsJVrzEE48SPi0Eb9EOMTICkOSMk0JK4an0MQQelWSNvWxUX9fsm5K+RKY9HWR0evkq7i8ZNu31MJXeXVv6j1mM27+zu9EZrNhu130AqVEY9d2mkaPoY3URX6kbNfxR8qEITBlCU4TrpFpZoHttx1n0NJzgAkAACAASURBVF+q9NWWpd/36ty8Olfdblu+ICkofZul4ON3Sx2j1CpVaKt0CospfN7fCjH0Po/WKZYgWVhLkFylsBBYGFhYzMIhxw3NsWeyFOZrw55z7OHVMmkdczbMWNIwzR85lmmULq0wbLCsETYYBU6Sg+6FwX4pXvHYJX2/QHYUziTpkYs8kh1BxiBTkDnBz+Y+2H3CupOzMPEv+tik9fCEz4TDM8LxrMU0S2g6OrvG2wWYBciCvMidLMOB00rfEtdlymEyEtKsuXSStiwTNZtuIIFKD4xVw1S8WqKvUyxLzetnIt37lYkzHON9vgJc8nAJuCghXBK4ZOGyxy2g3QgrZ9lwwOfwjay5jQUT1ni6+EOGDZhVcL7UHENzjDQraNbQtCEYF2ZXmxR8GZKrhDxM13lR6aosX5f0IG2BE8kN+n0Gx64hSO8zAjtUvwvMrPCqF38BMxuXo9DHGaSr98LJL5qPeHvcYemeL37xjkFfKEb5vMBf1Wb0c3gkfVLdaPnIi153qJQXdTpaj2sE0cZz1vTu+qcmOmQzYaGgPY878LhDz+aMZ3kAV0zHMQ4/8XzO98I7O5i2MPfCHEdn1nizAHOZVixOEtr0BqBx0i+GGYZphKZ2FJjqz5EamkLa0avuSmjS8CT6GiFIfR1HYae/x6Lb5Hui9pEqHzczm3HrPfeccF9PUX4t6h9L3RgQ1ZC367lXeZkEWJJm1qvhdvSlBDP5zvgyHoMiDWsajop9dgHRWFkGpPgbHryL40Uh2JVexdb5XlKQHcNqYJLKDYDEF2NMb2bwovOwTBIlo6QLPkgYVib700mAxMKHsPTI0jNZwWQpzDaGfWfZz6AkcflGF70YNSQrQ4PBYrE0GBoMK4JE2KoWwvDzxVd9No5VaehSkiWJS1ZmLUcKUe0mswhH+wTtzUEPS5sm+JpcmzBr/plfENgA29HZFa1t6ZqWtW37F73tonQ9uiU3swBNZh3UcWYWYkkLWuoTipAkDWFtFw1KKhZH78GyemDyRUpgZKqXrgrpHeOlh+xWehXsmgjJTgGyj3kb49DOr4XWG1ZYVlhewHewJBhJ7ANzPDM8jbSIWWPNMgCmiYBp4oKAEt2367VtpKN3RunxA79/UC7/ra9D/6cPYynbFA30NdtWX8PLtrrtx5w1U+75jC/d3m7XMa7B9vjbLBW/MAI+8JHnTyrXv70tL6osPzw6LUNDuCTKtCkkUJIQ5iZ6sbUwB5l53BxWUbR92Rgu0PEIHZfoWOLobDDYbnzAnrU4OtngZQWywDHB0ORB1WKiew2f7RoMHSJJXD8hiOwDMIXYRUhy9FIlU6V7+KnBqQzhwpfSJnVJi2u9BZT0V3G+kVfZAbYC+XDbKV26SrjJZ3+1z+QJ57v1uH5H/Vi6tlnyI/tuKRuLBwB0mnQNUlWQkTL93tNa8hBEAZMGJA1OqqxV+dpJdytxVfcq3pgASBvpV4HPoORhGUHp2MMx0bGkYNZC0xrmrWHPWc7QcQbPAUTZL2HGG5YGT5ONuH2U+ZpRONJy3zATjtx/S3wKdzKxgVbDpbUiEzS5xCmRW1yUKrFPXKCbsGj3FOZNAKW0GHBroDWe1nZsjKO1js46vHW0jcMn1VETgclsgv2S3UQYmIWy9OMZkiYREiYBFMwkAkIT6yqPneJiXQkMISQQcmQtQBrPk/W702NOfECz/Vt8vlofnwuvngvXq+qSMXiUgjqETZQRXsFyCRtB2TBDgpNyA2IczrZM7YbGrLBmpUBJxXnl5G7k7+/BqehQ+YO/6uQnfvnFbWz4PRGmqjLZ0k5Gyk71g1vy14aVrgEsTUbKTg0/NeCM1W+tLLMahnJZgiMNSbE8e3xV0JR4IulwMyTF0EjoBWn9o7SoZAx+EqbjLqxw0QgXsDxMx8M4LtBxTEfrHWFGQfjqnAh0OHyUCTtWCEsMM5psn5RmvMUZMpKmFrsqNCq2hG6tDcGTOD/BT4pNla4lTDXkjM+Iy7dhAEofASSl3R5r2Qnlo0/gKY8jMFSPnfbcduVPqNO/KyOwVOxzNXENVztgqK4fAyXtTJ9qvNeglOMMSulFRglKgzgBkihJUpUeA6W1KV+M6whIKV76IE2IS1ckWJK1YDth6oMV4QEdZ3CcwbNPGAZmJFiSApaClJi0vnUFRT72vOQeIPVvS7BZSh8yxc55zPLxwHlt2CRZmgYQSqBk5gSb3jnIXgCnLi6n1DXBkmAFrCI7bkyyeQ/Q5IwD6xEbZte5xuOzdGkT4CiHKDXJ6WmEpGmUpsR8lq5EUDKTCpQSMNSghIIlUbCUHs5Ynj1/x4uXOk5ewkrFxSw5G0Hdx2HLZ9shb4S2MywxXMFwUcn8J2JoxGBMsBlrrWPfOua2ZWpbbAJLs1Jh3V8nbR8rro/1KhKpwwgKnFTHLN51qfOqzn4qUDrlNgpGJxxcQ9borteIjqrt2sPSVvZRD+qJm3657mhTk7QGphqM0IAUYp/1v1Kp23wpUUqQFKVKfhKASeZEIwWPn0XVN3AF4TLCRRwXMVzyjmMJlgqdhK/CXiAvNIRVwT0tjjXCGuNXWJlimBC+R5WiLP0ZxWBbhh6UPD0o9dAUjuTpQakfkIegpMP2R3k7KI1B0kngJH0zfY9PCSej0qWrganTtj3Nb9dQdhVgNNi/rtdtuqpNBVbbwGi0bAsUjYUalLZCUp0egBIKmBhRt1VxBiNfApIOtTRp43sSWPs48y1C0oo+pGVKEiithIkL0oM5hj1MnH7hshouWGJ4JvioIIcGRxMlSwmYdJ/twUiHNCMuLY7c0fdHwt5CHKfopUtRe6WBySdgmoKP67dJBCTmQRjELLDBzIS/IS1h10ZYCr6ZwFkPZoNYaK2ntR5nO5xRk11sVM+ZTgGTCpJAKa7Vl+DAVNIkUwFCGqtJl0IULBnyKgtpmPKxYfFBHAfO3H9iRx0DpxR79ZsRlpwVWi+snGGB4TLhuZhKCBMbYInouDwEh7OOqemYmFZJlVb4LF3agHSIui5SAJO+JuXXhy+AKZy0nEb6lIBr53a17+0y+Zj2kbHCx3e7Bmq44jWgtm3lJ9VvKa+v2YBOK0ACysUCY0cxGpSkL8s2STICSjFMTFCzTzxuYnBTcFNPNwmDygq4jHCJjksIl3FcwbDAsYpWR2mJhzSjLQGTI60WnowD2zhjZoOwoVezabcAafgcQhPUg7HN7Xo4SldQqlQ6ct9m7Bboe1W6D9gFTCdB0vgvxdPenT9tWZUfBRGV3wo6p/m9He3r6fX1eWwFHX2sWrKkj7UFigo7JdW2zm8Dom3pnB8BJHFlvoajfkKqr6RKKDCqQakCpm2QlGFJolQJBUqUoLQsocmsBbsRmghKYcVHwwFGgVIIwcmHjzZLEs2YfYSl0o+SnuHWuwpwqi5JhEc+WpSEJc2IS8BEki5FkyANTD7aWyf7JWbgYtzZcHkiQ2VYak285FGCFSahtaysxxuHT4BkNCi5GGtQ6lSsQ7LTSYCkYg1JxTdbug5CPzsu7as7j1D4GxpIpnRHUkn9Ua8gKdCv4CfhDq07CY4CfHTwIsLUGJpoj+5tgNCNhbU17BnD3Fqm1tIYizUTxEwRs0FMG9wLmAiRRqvkklGeU/GItEkDlKiFcIr1cmpwqv7+Uw1wVd1peObENtcOirZtHzEs/cIv/AI/8iM/wtve9jYeeugh3v72t/Pc5z63bzCihnv9v/svvOKf/cqgfPGz/yPzqR3uUFCkHykfyUsd14AUKzUw6dWpjcrnRRsVJBWgZOLMNwmSpcZEEWvoCKsISguEKwRDv0s4ruAiKDn+6y+seMuPHPPA2zasH/I89+3XY5/bRKNPE+U9YTlMKFZzIhhzbyhnuWn3ADXmbLlEOS5hKhwLiIakfd6RRottj/IQkuAkMAovY8/93/W/8NCP/gu6Rx5h/+67edJrf4j5Jz47H6HePvxd9/DAd39XUdbccguf+P4Pj/bxAXY/Ftg6oU0BNCftf1L6Ksry755CDVfDUa6vYWobIKl6SfZFNSg5lVc2uCnt9fmNSJEk2ygJfjDLTYFSyzBOgPS7Pw6/80Nw+QG4/hnwgnvgpjv7WW955puH9/wSvOMfMthueTNsJrAG2wqTtmPaJW9njn1MXB47wNIePhr0Eo27fZQumQhLYflaW/hSapH8x7XxQ0i7CUigpCdnjPTAVJxUcUodlyVMGpqUjyUTDcFdnKzW2jBf5YPvgH//S/Chd8PxI/Dpfx+OPj1wR3akbT2YFmccXbZXanv4ybO7uh6eNBzlWMFRTisAMPTApEFJO27ERKCw5b4+Xo+sLWAY52OOQFS6nn/2H+EPfgAuvB02H4Lr/iV+8sXBTZMRVg6OkWCZIcIHeTM/u/yswa36P2/6Iz5x+qy4/rBhZidMjGViJjTGYaWLoKQlbrUdU0tvBK47jQKlMfumHFOVp7yKi2tRXZddg+EO1nn1//Oz/MK9v80fP/R+9popL7j9E3jNZ38Nz7zpSdt3Sts1ZKiPGJauXLnCC1/4Ql72spfx9V//9cMGExi8lqxwtD/j3h/5evTNmB/EGQ1StSceoxYH7oSjkTh3prpzxXxanVrHxitpEhUsmfg14WBisnjbxSm2a9HSesnhcoSmBRInCjsWVwy3vHDGLS/b421ff4EkKTIFLCXkSUsehJlwxMFV4sCKtIj68tzuR2nsUvmtl5bBXhqadkmZ6vtZgpIU9zyUPfi/fj8P/m//O7e//seZPeOZPPA938u7XvK5POuP78UeHhZ90yM5PXv2s3nqr/VLGoi1Oz+MTqWOq8HqMdTX6TGIysfYAUXFfiPjWNr/0de9lguvey2+i/4C4gfnTgPtkXz6vSxV0gBUQVEhUaqgSRtp13kNSXl8V8FXH8wBjlBBg5LvZzFpidIf/CL8+j+Ez3wN3PwX4A9+En7l5fCF/w6mT4iqN1EqOBO8xj79l+Oq8i5OH9+HdYdpoXESTROFPYQ9HHsRmA5ieh5hKWm2EiyFOategVKbP356K/SGIH9K8BT6da9+2wJMIy/2ASxV0ISaKWeSLfUEXISpLo5pvoUnPhWe/RJ402uCN+/9Jhw/+3UyxPVvHZ1xURXnerWgJaYVFBXpXaDkFSihxnLpJUREUJJOxbWaKj6s6Tj5QxgFTVtCnkws4Bdw7rlww9fCvX81vBNMmLXctr1rpqkP39LHsfP+vbP3cmNzxIGBAwNnJjfyiPWsDOwZYW4Mc2OZGZiID0uiiMNEaBJpEanhqTIATx0qp8sOKAUojQCUHgzStR4bePTgVLyjx97XvsrDb973Ds7/hZdy5xOfQes6vuPNr+dz3/CdvOMb/gUHszn/f9k+Ylh6+ctfDsB73vOek38hvUFteKZvvfkMg0/cepP0X0WoxRtchnU53YNR71A0fTnEWSMqnwBJUoexOvYZlLwVaIJ+2lvBNyE4K7Ri2JCkScoO1PfQtEBYIqzwrMXwjJcfcSueD71nDVyAOHMtGXDb2KvDyuEgkma/uay31l+ffVpLmUrj7IQq42X6/wBmYUs2TFB2hiFkjdzI3HZoFK5qvePBf/KD3PId3865L/syQLj9J17PH95yK4/+zM9wwytfWR5Zvf3FNkxuvSUeqDqbLf14AC5126vN7wKybe3q8Semx6BKxwX8pNjDua8+z9mvOo+7dJF3f8LZEkr0vvWYqMFHlddhAEiuqnPDdIa1SoLUfwD7XsKU4UiyHSsOfHwX+FqyVIASlVQJeMsPw7O+Ep728iA5eu73wH1vhnf8FDzj20rJ0ppgxewFNjeHmU9rF51TOkxcLX6GMI+QtB/hqEx75rgMSiEENVyaFWeZZFgS2ihv0o5+wjgQ8j0k9bNXy/6bQz3ujajjkkoOZctE5UQ7lXVNcGr+nLvhaXfDFYmw1ITVTtJSKgmUUvAGxHg2psWZNd5IhCoNSCn2fUhwlGyTxnwK5bQwkCjpQJS2aPWdj8d0nsK8QkmXRNl8ZYmTdgLZAE/5y/jr/jI8CtwLZiqYJtiMdSb4L106mLighFjEMclPbkaacxgbJlFfiU5EW9sbzm9MVH0aYSJCIwZrbJAyicWIQ6LdUoh7o2+pQEmk6mwFOKm0eHz9tSRayzAy2BRl9M/eKQfJX/vr31+A1ute+m3c/ANfxts+9Ke8+CnPKY+1/QXzuG8fndlwFi4v1jz55T9M5zzP/fib+e6v/Ys87+k3k8EoXxQpIaqAJekv5CgowdApVz+I9B5MfZ/PxtsoOPKFdCl0eAmGeUbojOCMoTPR/AHHGpPtQBc5CAscywhKyyhV2uDjt6PDkdSQvRPJJF2Kq8Bl1AjjRf/WEVRHKUT2qb4jDLTp7SOxrHRxV9oo1ZCUfi/k+9syArrqyS7rdz/x63e/m/bDH+bMS16Sy8x0xpnP+Ayu/PZ/CrC0havX7/wT3nHHbchsxv6dd3Prd/8jZh/31LLhDrDZlR8zzNZp0UUnQZE+3q6ykX23AVJdl9VcUErkd0BScbwtYLQVkOI7biBd0tIkrQ3QkiMVepWbaqMmAGVgSlDU0UuQtEuAFK/W8MDvw7P/bvCP0xLeQjd+Bjz4NrhDevcAyU5pLeCO4T2fE07QPBNjv4Gme2aQKKFhSQcTJUpaqqTVcERYCrPhAij1UzlKn2iJZGppUq+GK4GJsmtFqbnvB4tRYMrQFNMZllR5F9VwM4n2SvF3pjbAUnKGnQApwVNSzVnjaU1Ha9bRvqmyS8owpFRtGZygMM7W6TyOj4FSNH7XPoqMfsjC8VMzLEiSLuWY3v+lcvAZfGdKuKEzYC88VmYGdhZ+3kXYWbW9xcYqCnp/7JHn4fySWyafyBec+4c87+Cz6GxvNK9X1pmZcO3DEnuCFYMVwYrDisWKx0icBS0RjAqJko67/m8fU9PpQaKWOA0GB0bSKh6TMtUQNRCQeC7EhcCv37ue7Ygy9r55fLdrCEvpVSI86+Nu4PX/4Av55KfdyMUra/7pz72VF37TG/j9138NT7/9uqrDj8U7IGksP+hYUHyl5K8JX6brjhO/ilyCI3F0EiRJrbhoam3ix6mLKrYETMIyg1JwALDGsRZRsCT4CEs+D4pJuhSsl8KcmdI5HXGP3taof/P0wBRAKUBU2jM5snOUwKTLiXXqC6QAJ31v9Y06DSB5Vd6n2w9/GIDJLbcUfaK5+WbW9903PESM9++6m9tf9xPMPv4ZtA/cz/2v/l7e9Rkv4Blv/0OaG27YCUlbpT9V/iRg2pbOV2iszQ4wyvuOtR2DpxqC0i10JcjoD8fTqNUGwVXt3EidGocL6VIFSLXqrVC7JfVhIUlKwCT41isHgigfStJbIV98OOxgbg7+kTYuvI3szbB8c3Aumbx0r1wwMnQfD4evAZ4O7UVk9ZO49muYyM8x97czjaDUw5LJkqU5poClWYSlAFjJwDtIlsZAKWGUfkOXTmWHkqWi/2ZqCje4lixpdZJWz2VYSg6xU72FSXyRTyUAU6dgad70oOSkByUyKAVQWJoOjMcbT5eNt7VEiX5cLiDJ9+WFyQTsliqlP6QCJi15MSZIkBQoSdOP+wGUfA9JUUWZJvIwleBDbxMVpzOw+2kUDWVrCaZZDWDME/i0ox/l9vmnMZMV7zz+KX7o/s/mG5/0Zj7l4MXBaN72sLSKgDqNYSI+SplSSCDm42vKY6KqMZg3VLMIMzgpvXwNTQNIqgaHImwZeFK6gKMtwKTSHsc3/9+v5S/e8Rw+6ZZnUG71oL2l/HHargqW3vCGN/BKpQL51V/9VV70ohed/hfiH/f8597G85/7xEyVL/zU2/jUr349/+xf/b/84N/7bAU8fYfv9xd1k+gHg1SfxosRUMqO2nRnix3T19CUOo7xQeVmfZAmCXQi0Y1LEJxv0KAUIGntYVUAkw+rI+D5rTc8whtf+T4Ifx0v/dU7OPei/diFEyylQdJkWIIwXyb9ET0sJUgqH2wNOL1EqC6PYmpqUb7yCBzrw75QdiBUnKCquuGDrQSrR97wRt7/yn4RxI/7lTfFalPt5hGRcbhAOPq8LyjK9u9+AX/8CU/jkZ/6CW76H755+PNV+jGB0K5jnABB4ayHIDQmOarbFZCT2ur9U7mCpTFJUE7DKBwlwBpIl3S5llhpUBpJa0lSGqN71ZuUUqWuStfAFE01vAalHFTZMj6HaxPSrfRw5CWUZYkSYfab/zSQ5yEbh+08DZ/Gmi+l829kzrdFg+4ASj0caUhyCpTSTDhts0ScBdfEvt0vgM1o6ClnDJTSJjqhgtf5CpgK1ZINgJN4I0mgXJQuaVdVEFZ1SrDUKVBKENbzS5y+HmHJGxeWb0rqrWxzpGHJVxKl9DcIpTRJQ5It00k0JMmWsyFL3cUgse0QmFCrqkgBStm5eJo1GH1GQpQs7fksMHHxMbNGWAGH5pk80T6TfQtnDLz4zKdzwb2PX3/kH/PUwxfTWeiMzxKmXrokTA1MjYRJ1wYmItn/cRehKZnT9lKmJoNhrZqrIUmSLVP91aPDVoAi1/tiUArlUpdV9Sn/jb/6ffyX+9/Ff/zaH6NQSxXapWsDR/V2VbD00pe+lLvvvjvnb7vttpN3qtVw+v0ZYcgg3PlJt/In738kiDVV3alAqVjrhqpjVfkc+wKcJH61BBFygKbQqSV2flGLmEv8gJXw8YqwjtC0jqq1pIZb4XO8jPEzX3od33j3QQAoPPa2JnjFjcfs/5B+EDVRLC+DgbO8qCUwVQ8+pdSpV8mZvE8NXMMyqeqkKtfns+2hLiHq6KVfyDPuvjPfLL9aA7D58IeZPOEJuV374IM0t9wyPNyWfmgPDpg/+5NZv/NPRuvHjlFAyZZ9TtNm7LzGwAhOB0eDv7Eqq6VLeX+n2itpUA1MNUQN6lzZrsgrKNoKSlolp1VrldqtlirVEqVi/a6toEQPSxtAbgxvvcsPRj2SCTZIi4fA3hQlS1HatCak1yZM4uqEpnNMfAN8Cp73MccywyvJUkr7Apx6UOphKS13MiW4DCjXbuxVbL7q56VEaeRLMIZ+PNAPmApaFVdJmtLkMaN4w6u4s0G60ZkQoJIsRUhy0gOTV+NuKPM40+HF0xmhEwl0pt20pPH5JEDKeTMMSn8mYumN4xMwtQgRloxBjAmz+Jr4zNWrqmip0pTg8ij6zSRCO4CdgtkPp0/sQ06ga/tVU1Y2wI6JMHnz3vO59+JPc8Umw/jeLUNres8WsxhPJEqZTL9YhPZgE8xsBSM2fF6LxL81uqVIIBU7fCov4Ud93YwOADvAaWSQ8jUwCVU7+KZf+0e86b/9B/7DV7+OJx3dVtTtTl+b7apg6fDwkMPDw6v/heJzJ10oyYTovec//7cH+OSn39TPnkv0mD+chqDU2yN5igFhJySlICU4RSDysaM78XiR/MXkJJlM+2iKSY43EZqSZGmtJUwRlpYKmszhhMPDhgmeBs8CR4uLkqUwCvUu6hIshUHVFaL49AelC9Jvfa5/YE8GoW1lVHVSHVsDE0W6PKvxrTk8pDk8zDfNe2huvZXLv/4bHDzveQB06zWXf/M3eeKrX9P/xFis0m65YnXvH3HwwhddlZH1RwpMY7ZIeb8RMDptXO9b2xlttTuCoYH3FkgaAJAGqEqatC0mta2kR+LpgaiWLPW2qQUs+S2QVBpx+1KSlJ0AuZiew9Hz4P5/Dwdf1KvhLrwZDj4/wNKG6LWbsArHxgfVSeeZuDAsLfhj5jydOZY5TkmWekgKYJRAyWUVXFLD9TZLwV5Jiv5cA1KyUzSD8j6MgZLapEpvGyMVMCV+kQg4IkGyNInA1JlesjSpYCnbLcVxNJ1igqhs9C2OjekwYujMBi/BDrQfqzUsJThK53waWEoLhidg2ihY2lBMfBELNkiDpInPogalaHOfVmLJUqVqAhokyZJiDcLf4DbQxcdxFaEmnfqHVm9nb/IEjuO1Scbx2Y+qAqdNBKQETcGOqQSmcmEJwYhgJMygNmJiTJwk1A8mUkiPNCSNAdMJg0mGITUI1SCV3/+Ob/o3382/uvff8uav+gk+7vonq2d2xwCv06d50XyE20dss/Twww9z33338cEPfhCAe++9F4Bbb72VW2+9FSbwVd/+S9x28yGv/ua/BMB3/fBv8fzn3MbTn3yOi1dW/OBP/x7/+d4HeO2rXhJGJQ1EQDG9P5XHMkmdcnQQEAYDQhbzojpyD0kJlHo4ioDk+8m7nSdLlIJpRFLFKWCSBEpJFRdgaY1njWcTQxvh6/jhjofvW3HxgxsAju9ds2GFvdVgbw2SJR87vz/xK7Pe6tkM0MNPn64f7lJ0OhZEtdsOTKfb+rYiwk1/9+9w/6tfzezpH8/s6c/g/le/GrO/z3Vf8RX5l971ks/m7Bd/KTee/0YAPvj3v4WjL/giJrffQfvAAzzwfd9Dd/Ei13/lV4fj/jkDU5GuyrbuvyXeKV3aBkx1m+p25Q9DVLoCoyJdqdxGwcntjrVN0lhZhqLUZosR9zZJUmHArdJ+A4VkKVkhp/Lb/g780dfB9Hkwvwvu/3FYfwBu/Nrw9nrom4BbMM13YDrw6x9A/HOx/ikYLnHM69jwR9zOPRGWEiSJsk3SwKShKdkBS+E2wChYGkqSxqBovL+rnkOxFePl9lCbLCSJRxpbEzQ5C1dW8MEPBFsagIsfgofeCZyD2ROVhCkCko6T5Cn9KQGYWkQkeAAXsqquH79ToIKjBEzjUqUASgGKxKd8+rTtJ88gNkzFRwGTkizJJDxL0nhkGp6lAEoS2h1fpnvkncgyXA+3ejdu+fsI1zPZv4OL7/12usUHeMKTfhLXwQf/7J9wpnkK182fzdSvuf/CT/PuSz/PS+74eQVL8SPd9EFLmKZGwZIMJUsBmHwPThANwqWf+JeeLElyg9Jx8cAbuJY25aDy26ApDkiiB6xqsDr/a/8zP/Nff5lf+mv/nMPZOT58+VEAzs7PsDed920LNtQRxwAAIABJREFU9ZtKXyO13EcMS29605t4xStekfNf/uVfDsCrXvUq7rnnHpgI991/AdNIljI9emXF37zn/+LDD17h7OGM533iLfzmG7+COz/1CfFLRr2x8nIkOk8PT0Vnl2o8KWeCeNXGqzIfO2m/Pmc/X6zFBw9GeWwWNR4bWlz8IO2BaY1hLS6aQJgISE6le1hKwPS+N13k917x3nwd3/nlIX3rq27n1nvOQV5NatyOIWFPf6G2ocoQmoYz2YZv3u3YU4PSCZA09lzLIMHN3/qtuOMl7z//jdkp5dN+7d9gDw9zn1v96btoH/qzfMzN+9/Pe7/qr9P92Z9hb7qJg7uez9N/83eYPvnJJ0PQYwCmk45V1I9B0EnlW4BpDIoSQBWgo4+v4WUMmKoPxUJapEBLx8V+lepNG3EPpEwdQ1WckihlaOogL2lSSJQoJUkRjnxeGDeVmSBFaoGzL4PbH4L3vwbaD8P0E+Gmn4PujiBRaj8ACMYbGgedu8iGb2PFgxgOmfFsPo6f5To+NarZRKnXfFTLjQFTsFMKoNTPhpvgMVnlFkIt/vZbgakf5Eo7Q/p413eKHjOrw2bJkoKlbLRt4N1/DH/vb/WH+oV/HOJP/RL4wldX7Stoqo2/w6ytkHbppZuXMUnnJuUJFbA0BCXJEqVestRLlRIoRYjCQLTpERPNFLxHGumlSZsITBGOaonS+oHf45Ef/ax8PS695Zu5BOw/5au54VNej3MfouvuC2uDttCZNe958Fv4k80HMGaPw9mzecGTf4Vbz30Bx/H6JAlchiUhe0mfSnjEpybZj/kMThmWCMbflhFJE/2cJe0JwYioy+ypTTS0mm7UNlZBU/Fhvg2kgDTQ/B9vewMAn/mTX1k8pj/+xd/P13zqX8ltJe2Tj3ttN/H+1AuyPbbtT78zJhRV5jiaguULHdK9syxVJ2N5VVYYBPbBEwwLc4i/61TexbyjDx2ejrQim89xi4txCBscrdfw4wIMic+SpQRIqyosVRxmyvmsrttgcTT05qC9l5Y05PbfrJNcFue0VqFRsQ42x+OGpYYayvq8MD6Qp2VQ6tE4freMiQEH1viE2NPnc/+q8zEagY+8jZSdKDXyKjqh7UkSJH+15SeVbcurcSjlu0sX+dO7z/LU376AOTgatE0gNFY2qB+LUzutUqvqExB5Xa/sk1KbBEm+CD4bc/silpCOkBTSHlK8IajnNjq4Pr2O6bhQrrQO23qs80y8Y+pTz9Pg0xttJyPuPu2zt+6UTvl9PPtIXkx3jqNhg4nzZD1XYjim98q2iHUpP3RCUrYNFpHYDUw6mLkQ5j5PbRe1qHc+mZiWlD8AcwASg98DN4duCpsprBtYNcHuZmGCJ4ZjiX7kJOQHQbVbmGBPv5QwMXEpsBJhbQxrsYFMZAYmruYrezFdh7SI3RyRgK5IsiJL5vfzIqbKi9f7zBE3hW6CrAVZgcRLLAuQZczHWJdtzaeyJdg1mDU06/4WTV28NQL7NoQ9A3MT3AXMTLBTmkVImpmgdkv2SiH2YQGJBEomuBdoonouzUS0Ma3ByZgemnQI0OQRE+2Z4js2pYUYx3dsqh8YgmsJVM4zrKcup1/LLpejhCg1S8Tt25/C47ldg7XhiH+QEP64FIN+Lw7SdbuxtXuMKqsl1UTVGvGLhpiOef1B3EFYckqCyq3XAkj1URulTOgPWslSf62G6/3b9dKkdYSp1DbZPQUw6387PBJ62nAvVdJi+9qWwRcXZwxATt76ltsYOl3J0xxz2OakvXzRakvrEZhIfWcr3FRlwumASTj5mMWxToK2+thjf4v+O9T44E+b9yof1XDa9GBMqjSmjssdRJUV8YgkqY4HkqUIR6KkSFrtlnwo9So3wXc+lI0acqPUbgGeZCMRmKRcyiRJmlJ6HcBJNg7TGmyXFrlNnyJJcuQKKdJc5fWMtynaoLvP9583Epc6kf+Pu3eL2aXJ7rv+q553728OHo/teDI+ESf4IJSRneQCGSKjCAEBFJkEg5zDRYjCBcIfF2BxECCQLSxDUIQQ0liEk+xIYIgQBERAIggJhBBwg4RBYBkTexzb44k9h2/mO+z9Pk8XF1Wr1n+tWtXd755vP5/lftVvV1dVn6qrq379X6vr6V/CNb/ENrysKkn8EpK/cLzK8y3ZCr+n6Hqy163nGypRb5pUbdKqpea3Lc7Fwnw5mvdWKq59UMU6lCWB/X5KNutLWXPSdkrSCD+65aQsDcfvPpBv6TaFh0tTjtRH6VqH2S3+moizUoGW/fTlgjZu1XstvOmtfOwvB/1S9TJRrFzHIJ9Uhqow6fLaIUmXCk3j17jgVaWHDkRjNByMUXFort00J/TqS7Wz14cBTD0dCA3Q2XX2S2K/pujjtIq703TfQSknOJJOpz3S1bRWEJXXHTjBxxWLV7OaA6Sd2X+h3E1wNbpKVFzF4MmZ4mTzbXIHpKYy2RfJmhZNcPq4th/L1QK6QLoypL9PrsvqBq4zuT4OVFenAo8N63mIen8mbp3zhl5CyIHKHgQxNBzk0bAeK/tC7cnAtHPczB/pKG2A1KsAUgW++DOfxhd/5tOoW/c8JViKeR1EhbCLi6CUrWdmt97BpMAUwg6YxsPXVCT98mg8hOynxG8gjwBedj8m95tv6MDUIem6QR4xQOkBDZaajhu/ZNsIguQEINmS9d729LanufRndKNwfTIkZc+4n5agFNfFliUCVD8dHboIlwZNowPvt4V9libfJZ6p878SADzKtVPGy04a+um/2QnH5/403MKYazDB4REiF0jV0dDJZ0n4Ux0FptJ+veEi3RxX518PYViqNMPKyrlX9eEYHCSW9oXcdbNf2RnAROXnQIlNcqJmOHFDByg0Of8lKDzVPg48AZP6MYFtB9knBfY5UUR5gyb+IfYzwIQRFgYmsGvInHfEj7j7THdUlvpEoDQpRcmzL9J+QFbXa99uWGP63aodnmqPs35AngBKPmz+pKYoZS+4+jUct9mtbS6Tf9JKWdoG3CjNX6DvuUImNAYlG4vJQ5M2tOzPULPCddPReryBq/xx2aY9r6fxyQ3vV4Gg/69KFCeBaaweAJMe48nAlO0nAx/ePjuXCEYH8RMgASkwfd0ffxNf90Nv4vblt/AL3//xCYZcm0VKUhx1e/mVm6btgNIER0FJmsIMTFda7w9avREwBUVJHyp5hIOk+ihwbywvbRu5dUjaGJQ2PEeZIMh8k7YlKHkfJQWlOozmBkvtKdbR+AvEPf9eIT4LTPH5bktZeFlMoETx8eku6OoSCT1qxd/Et5VRVVIwcI7fDAPFx0sBbrJh6795VvHYYUmASUHamwmKqilKHpge0V5A23L88LgAKAVyKd3JW+ZxHRmS+jwDhBfGVMbRYZ9K71C2LnYWfcyFLCChnPQruQycvN+S/zpOQWrpuxSWh/NUOwUiXfwYNbv2umWN2KxE+bBBFYez9Kyhfr3TnZWl3uVMz7gQOIkVFoFSpfVRfKLFXA2QBPBDMNZdSMqAaZ69ojS/2Dbnbm+Os3b5pYu3vLa/1liiY5J++Vb7+6gCUwQl5X9WlqqrwgZPNlxkBk0riIrhtl7T9NWk1zVP6ypO58PQpL+rdAKYgB14SeK+KmA6c8y6SMtAK8YfAdPeejDDsXluN7xQkxwwnV0Gk9sKkhwwXeEVphOqklzRxl0aD1sFXgL1pdjvvb2sfaiBirJVXKq+kmwdaoqDoXmWRDmKM9z6sz63153NfcuqypJ2L/q87JvUV5AEC9c4QCzlCA9j9pRzXOVOMqhLQ1mqOSw5cCpwipPG33o8+jEepTZgwhWbPKKq3KLDqIiNdC79kxub+Wu3vp4qSxGgVJFqHb6Uh/Z13EOBbDMsTSa42K0lsDSGf3po/ktl1FngdmtudLWaS8gYfkHLq/jyZFh6FpYMUQ/SHhNnkiNoGqY4RIUpqkvUswj5N9F1m4FH/yqayZRqNVUu6QKHgtXUALr1LI2Xr3e6g7I0uhh6ChM4CqBUO1iZSiTOtFYh2GolKNI4DHPWoHOs1aVbsuzK/3J4l9xlon8ZBxzOVxRyEjdYiuMq1e6Yre+k4kR8+zJuHk6A/R9sNpjaA6YWl31dt16TkMJgluXV86H1umraMcGLPlNn/ITuDkx1sZ8IPzGNt9uDoyzuaB3wg/UGMEKHI+lx6VAADExHytItX2eTm4MkBaorJmDafegImuSKpiI5pUnG2En1pYZbz1E2NXS3nx55o6tJ0YyWzbOpzcORjdRtYyo1WNrGD5pcgPEKYe/h/vmw9ZW6hJ240ZT6uhbjaSu3t1BHK1qHfSnNMlbIbykq8ykoBUCKnb8eWE1Yj2h+TMAVG4w0CnTMuYcARmpaI0gKpjgkoOTGYkLxXdHlAXiQ+ZuiDJIYloRgSQiWFJSeAfKsw1J/k96uwFXre7XtlVDYlKnqklOaCJSiunTrYHQT+ownQNNpdQkBmtCdwcXH2dBYYmUC8oESbUsrwZP24loBk0Yvg6VYoV/T9NphqT4Ao4vphTL9PInGhXUGI/9byN2/R7T9VxgiSIJ97Ni+cGvEzorShj4qN/bVpemr5WRWCFI/JDW7zWMq6Rd1WIDSA8GSqklsgmNI4nAZ+zCVKbUwJ3Mvcwcy4QYtG3JQui0FQg00wRdvwptWO+rYLDb2SikRLvhYC2DCyJvsl5Yp6IR8QqeRHjMDpmz7JD0Do1cGJq3onJ+AScFI8y7NbwGYwCB0BpiiX9LC9JY9cKnprTvdaljisAHuzUQg19q/rGsPe9na60Z7DSkBdI5UoxmO5nheCoESG8/dk3IAS8fPbnz+EFLHVCm+rvegdVTzQYGnAJdLm/HQ4pwZDmtYOlqHdqgCjFZarr0symgXSzeblWrKElRZEgYlDq+VJQdL6jBe+qjXuAyIExAsVUBqTSBJclAiRW64YT3YUuvrdgNuW6veqtxo86ZlywqeQhKHWVnSF/+L2NKZ4WheKUw218QUNwZhGNfslCYJAIXYG/mfbYcEvyeAIEnjNY4r6aK+v4/TXXyW2uW0JmH4HPW4GpWkHjY4WoAS2NyWQVI0v3l16da3WypL8Oa34D6x95I7+Zo+hjhVltRXqX0Jo82owtEzSFCXJAUmP9L3PDZLtC5nDqRNcfI/zeubzsjuvkm2vNWlWpqHr1VH0PLwi8JqwEUNO3BZAdMTQOhJ+Q6Ou2d2G/Cyio/bJDA0jqHrrBTRNmM/wcS2giSOjyNwZ1+4HSlKbpk4dA9wus7h1ARHs5ox4kNXO0SJDk55s46tiOChtifKRtY2kxkvjwEppmE4iavZTtUr8zhssxrKjpUluPg1NHmAGsCT1G+XJ4S1DkncRlWOC3DpHX0t/RZ2dn0yLAHjxdiklN5dyo36gOYoJb31LMH8NmApBSX+qZM9UxzDUoGUh/abcUVmWNpTlrCAJXX2Zlh6QPNl13B/HratOX9rW+TUu6Q87ZcmAix1YIqw5H9H7qTChDBTmlB8qjLthIXC9jQImvlOn5BWGUUGRWBUmTtNrx2WNvVaE//M+jnAUVXzmweljdY1vLk0UpHg1aUbZnjaB6W2zTl1SQiEIhhlsw0XwLCk77v23mumN6GmNgLT2ro8vRfAf9NgjXI2GrhXmuYGOmvMvVM5wjYYeb0V2+Iz4HAw9BQw4WUPfxDAhCxPhB2OJ8hxcJQB05k4Oo9oelsC0wqOYlwEJAUh/1YyyQ8DnFY+S/EtZe+tJebpEKVprWPrv7wm7dfZHyB4VhmUZmA68kMyMNI4VpQw8vGXcO0Hi1rX3e+Mawct7giOTkBTtRiuww6CuI4gLMM2BRgmITXDbR2WuhvYrs/SLcbRdfPHLejt9lYrqrRX2q1/YlPAsKSwo07a7Kt0RYQmn8cPIzDBklzQvo57AEr7Ae8BSqNOBVjSzl/g1SWd6cO+wsqShp8BRevuralM11t7Nqu2IXprBeNnZbJyjnP/FZfht+RUpghLWPgvJeA0epMEkJ4MTFrzKU5Bycx4vW2meqoV+HVz091gSS8nKkb0kpsCFD9Q6qPk1CWxdQYnNcs5QBKh9rsmbbm4dnfPHOdn+704VpRyZckgrV2LVruoKLGylA0myeMwsbhv8ORNcTMkGSjF6qoC6xqeLB2UruG2FLHw7CtlW6oGP9rmXaiYgeo0MD0VhLJ8Sf7d42Z5QnoKRrC0DIQQ4tO4jfZFpjTnu8TAtBcOKlJmiuMH6lVVpaVzd4Qk/V0490DWEVfGNoJyA0oF2u+kyvDnGMBTeXRtmaDIPrNgkIJToRSUdHhY20ZVJZDPkvlytNusH3gA/lnBiHsSKGWQnNQ3B0lUhzisS+4Aa+9YUVr7rkXP5qGlwgQOrxQ1uH4BqNiqveIKbg2WxF5VPSTNqtJshuORvBWkdMwm3e6htdalQC4PQ/mR5xgAPpnhgOYgruuC7uQtA5QGIF0Imh7aMyD0ll2vDZjUj2lMvQlXHyaGUHcPAkCp/9LcgwRTnBhQqcJ0g/YoQVUC9SoSoImhCN23icpq6mUk+jhlMOXTtAbrcV7n9Nph6dqX/nk12JlUpQSg1opS9FXKTHBmfruF+PjSq2a5IzPceWCqEyhdxzW022ufwq7AaFaXYvwMTmur86w0ebOch6eWFt/69uEpS8NOGuUZQATX4I8GvIf3HLtHHqzzAK8ZmBbQNO1rBUYhPQOhPZByZrZ4Dj1tpSqxyQ0BhI5AKVWZYjwpSEufpdWbyt6DSPvk0cBlY1DqA/cV4KECz2tXl6Tiee2gVA2aGIxmM1tUk2Zgsv2g68SFvrtqz4TeOtl9NuKzY9Os+MKW1Z6rqV6Hejf2V/NlAcZPtgFmPrtJG0maTUQOltDb4BEvpCoJMmDi0xU0TyUd/65tZZVg/hpupSp5cOLfjBug5GAp3ClBM8090M+e1NCx69whKZrgCsMSQ5PC0iPaAJZqQqb6Xm9oPre19SUKlLfafZaysg+gtBEEzT+4G0xyMEXphmCWA80ym+Gin9JKcRq9jISyw5xnBU5U2187zLx2WHocl8J+RxGGZmiKMLWF+MwMF01wLd78kjJwUlNYsBL09pfhyY+zlANTNMVJX1boSN9mdrOHsnQTnIJQTeHpAg9J/D7AwLRy0/Pw5EHJvp5jeMogaWWaW4HT1PjXnib80yf9JvatGhhUiz+CjmQ54GUvD+/nIN8AsLOgtoA+B3wZGMX0E3Dk8m8hbrPyoIdlUpUGQC3Mb6twCkpRQYpmuGzueTKAWkGVwhG6MlU5rZ9X2Too1Q5K6D8+Wm1+DuC5hoUgCpIoSz6cKUs28yhp7K/Eb8FjRBqsFKWzX7BKf75aneJlnYBJ65nuLda/uCx9Zn+m2svypn5LobM2pV4H3bUXxQhLfK0GSuit5AVXXEYb336Q6goDoD1Y0h/QjaoSm+D0pTX+tpy2iUD7/bhLmx8EUgt2QYnDCTzxEAxyJWjqkDSUpivG79Bh66a5/oKzVYwPlFS1c0MyBFBiSFJwypy9b0jUJai6ZICk9VgoLvotpcBE23C5TYAkmMq4hDStKPwkvK7pjspSe7wi/Hjnba8iTXAkMygxRHkgytSlGZAiOK1McdcBTvZzJzMwRXVJ8xawM/dGkGNjKpk/kgcjjfO/5bYyyfFsQMRhJ5xi9mVSMxwPalmSOFPH9uBoH5p63eDfexsQ0OuLa+Qt35khAaY8Sf5DYNrb3xGoRSCiuD3T2wqMUjjaiXcdZIQoTQ/KEg8X4FSmnranODl/pRul3TCrTWEb97MnZ+AqSr69txZ76CG9g7+gDlAyE5kMaHpepf3OlgIU5XtehaBHzXB7EOXVpGaGa6rSA8w7hkcea7eIP6JYPDOUNs+WNva9qCMRjDhtZYrTsiyhfmor9KzAORQrIEVQ4rlWhiPpH/nY9ejVFFxwFaHbbb/eqa1sgY7CrbCkX8qxY3ccwfsC1NWAltbejbshtUFNvfT1zJOTWr2Sg1I0xSkslSutMyjphw9kltPfWaxcJdiHCfP80JcXWmbDCAyfJhgQqY8TA9EtrE++SyHMwwYw9OwqTXEWgyb09XtNd4Gl2F/sK0kzNM2mt/lrOHsYvdp0m9K9ya2tW3xUk+Z22cZGylWlSmGFJIzrZB8jIfAxv6MMis4ss49Ac+dvBqcMlGZIkt04/nFcB1Ni2wjH8dgR+pYawaBXGA8edWwDnICXLE8Sfl3AhCxvPHalqBUAwW9zBE2TysT7DqoSKqYxlQZAVcrLylLFvsq0ACLXcieq0lJxyrZJFCc+htboIvo9KalKMCWJVabnUGWJwEmaT5NTiSoIngycHiiPzQIzwRUUFGrspd8a/zFEDkkIcStggoEQAPMMTmDpAJwcMG1dWRqKnXjzZp+fw9SkK6SvC7XFtq4q05gr0AYe9uUhVG7aUreXzqYYFQdMPFCltrEMS/R1nAMlry55tUnNcH2kIBGIFKAkd6EC4wdneS6yVpYew/Ia5ge/ZP8/Nc0pNKS/zUezfgkXwwxYN3SgEoIkip/8lbJ1rIApN8dpnPVEHo6iurRRjb8XL90ZlmYlaW1y89CUg1JUj7zvkilJx8pSZo4zcBL3EqsmOlOOIiSZI/cNNhCkvld6p+wIOxk4reBoFY7mN1vPFaY8LTp/e7NcvC5zDGdwyuKgjSHBw9T5U7qDmQhTnIawLWzfZ4DJgckBMCGe086xR954Datrd3QU0uH3sVKUPv+ffhqf/8/st+FUHUhVJe0Ea1hfQJBud9aXSWfnqxQhaLWegROF9WdRdN9CoHQp7Ul7qLUDTleMIiRROKY90/wQPOvDDTwTjP09QGHKm90Yop7hggs27nrHE8GjytgzBjwNkpI5QI82qhkIjTDmeFPpBGXcIxlwWoqMTveZtDbvGQyU9MXSFCaFJG3v40+9WFm0K9eRfGScYFOVhNIeUHCDDSfwMJYzKKmzdzS9qaN3jKM/KcClQEpt841gSJ8xhA5+wBJmlYl9l1aglAETvyRswLY1YHJDDNSgMHUgegjLlcKkzuJslis9f4SidP0pwBTiOF+cS78WLd/4pLzO6e7KEkMRPcMBlDR8BpSiU/fsuxT9lryyNEPTbIozwXcGpnn4AN2HDTbZHrwCG0+pOmBa+R+dgSK/rvtlSKqjIViDE/swxR/mzdcZkgROPSJAmsxw5HS6+/UXfNqeojPBFObwGWACTuzr6LgrqMugifNVe+hriE/BKG4boOkbfvBNfMMfexO3r7yFn/sjHx8d3y4kbZihifY7meDqGqawE+fS2ETHEBWhaqVE9TCPfXOp1PCXDjYMPkLrsgNIDpYacD2g70+Ah8q/2ti/Y61CSpaQh6GQOmKmsnYrkyE0wNCQzZjiJKbRs8P1ZReYJsDq4KW9J4102MpcUApwqTIGPjFjGIayNPsv6WzQVBFh0a7JyqtC/ZZ0ABYbTkD3vgdK9rLafgaF42efpXGvRCxNLg2WGJJ01rPtt2IJSh2SSoSmOCsk3eD8l3jGrQFTvcGGGZAw06PH5jinLBFcKSBtAZJ0fbyKywxJAg9Mk98ShSdw4jidCY4mvybcb7oDLFklj6AUzW8elHzcCpQydYkhKlOXbpSeq0praDJfJf+lHEPSbZwbqzvqrZCZybJ5zx9p31cph6bMh0lhSr/6mAFqgiR10B7KUv8VcJyAJv1JE22AF52/gY01+Edwkjp0h3yiq+8zMCGC2M7+BxBFaNK8odPa9VvCThrHY+4IoxP4tE5Ao+vT6N8BviJAnVWcnFp0C3kW5jjdV6VzVJ+a4dEnLfwMbbgAB0UMRyOuTrD0AOmQJC6/Ooxf+vKBj9tnHarABqFE/z/rR3Ws2cvFyiMm6U5GnMS07vvHdU+nXE2intU5wNDyBsitfRVWLoLLJngowFYFN7EBUIa7dY2Q1NtfmVUmmyMscn/Q1rbek6iRryxB6QGGawGgJIJS6c7b9jKoqtKkRF0EqP0LOYYlyeaa+C1J/nVcBKVLByMGp2CCrs0i2XyaqB1Tr4fxaxcSlCUxeGIFSgEpQtJQlqTDFK1nClPm6B1VpaU5Tixe0za6LgdLd6Cmuzp4z87coAfFlKQIRRGaYpjBSLe9JWkMTbdk/ebW9xQlM7vx25LV08HWgFN1IiTZOsNNBjr74FRomUGThzYPSpm6lEETQ5IpSwZErYGJgMT+TK3BlrWfDSgOASgiFGWQcwRMZ8IZMCXp2XkB83Wkx8mgKYMnhM40A54en/0USjyH6Ss5jovrCVQxJEHhaAFK46F9BcVpd47gRKAXhwgY4BIAaVoPAOSWUGjq6x2KLhSn67wsPcxmCuvyAXGVa3Xf92BJQYiOwDIGtEe21hS8z1Bv3e9LjV4VBknx9zMGMAnKBQNJtE29oSntCk1eVdJ22Uxw9vI7q0uVSk7bV+n7qiPFxmAyIFJIUkdvhaQYl30Fx8pS5s/Uz0wukEv/sd1nClYGScjAKUITm+V4vlL4Bg9OBEvS7WU6YKY+2xuaOU4nZeGoMPGXcQ8EQBGcGJoufdsVJO2pTVxrHRQRODkwgp1D9GtCj7vHdPdxlhiQNtjXcQxPa/ObpR9BEytNt5DmzW8RkjJVqQZQ4uFd4oPu1ZioLHlAiuaxHKSeriLNUGbQlJnnGI78l3Mr85xXkVbrOhSA91FyIMTARHmACqmSKklLkME+TAH728bwU4FpQFAGbRGGIvAgXP8CjGrY3nV6DE0JULm4kHcyzwWwcmDEeRP1yEHTASC9CjQ553E631G7CZSGfxFBkAKTW4eB0wRMtJwgCR6UCkzdGi1AtW6fydNaPnoxjj+SuQdLUoDKsMR2He3e9CbH/dFRRz1gYCJYutHyKq3he+jAtAlKFVyqtsXNFHd1S8MYBSRT33NzHGjdYyagLt83lFEtgArvYdocuQu1jfP4SezcbS+V3gTHQwiEr+NQIfIAKRfg4dLUJ5EZjpCAUg8Pps1McApGcZmY4YYLJttpAAAgAElEQVQvU3geN30ea3iMJFGV6NarCW7rdXzE0XpqiothGOzsqUoRnBigOH0CqTuBEnB3WMp8kTwgHUHT7K+0Cu9DEytLEZr2TXFxfDz9Is/AaA+UMmjZAyQDoVmFimk+viTblpDGQOShyYMRKUliYQ9FBkwAqUrUmcfO2UCoJsAktp1VoBxuzsAPrT8VmMD54z7jxPASt9X07LwIUKbDJKAz8vD+GKrC+QptG4HIxVFDO0AoS6+WNvr/CErGBe4aHCDVsHzKXO26tOZFRYlhJ1OPPDiJV5FA5rWwHIAEgySOK9VagAZLleqSNzS1QumJo/FfARO1LbUYMLEtp9yoV6YCivtKIKm6Yba1DsjkrzRASXve/kLUx7wmMxxwEw9LkzmOSmMFS1bNe7sA81Jq+2mtvY2/ZCY5P4iBpvM4TNZu28CUrCJlfwCqAlMfUgDSv4QT53zcOnWZQGly9C4EUFFdSlSlCZo2AiY1zxEwcVsRuZj9m/TWO3UJpiRp2uT0TUAUgelIVZpG+w41fuNwACn32LzG6U4+S+0OGRhhPBxRNWLFyX/dxj+W60HqCJrYJOfDMzTNYy5FaLJ9GABaFbARtCOAZOqSBxqvEGXglClRx+BV6bzEnUPurzTy1VlZMv8ka0iGqlT9Z88ekCQAUgAoriAA4jABcemAJ8DH0hy32j7Lm0DTKZVpcSzuD0dato0ej+Ei2y+B0YCZmBbyxH3v/VxKBKlpnSFqo+1jOFOQuCFIVKmzkDRgCfZGyz5DzzAD0dLc1peXLB6mKPEyKksKRm7Z73+7D4YEoHV3XwHkkBS7EgImPfpQlootpwrA++NjwXrQMcIhsPJZcsBUAaGfLLpBaPhcGUMtmHrfYUkMlmZg8rAUy0Vxxn5ns2LDrb+0mhmuBB8lVZxYUdK2ej10QGaCow5bWtkNE9wALJ8PBV5hin5MQ1GSNraSxjEoZU7evcOKoMTjltX+gqODWXKdiw7gutmF1qOqxP5KOrTAETBJiJvgSPKlwtEwxdF2oQa/1um1w1Lz42nAZA/AyoF7TlupS2szXA5GBk1HylKmLmmd07eYAgcFQY0JIjyAtXP1DDesEkVgmtdNTSphGRWkGZC8uY3jBLPKJO4a2T/JgIkcuRUUNEydm1uHB6bZHLcGoz0fJcEijdZHnjPQVO2hPBwyINseBByctAdNcTuGorCtU5wWZRXhNFWWduIyvyYGnOmLOc6XAVTY3rXYNcyJEiUV44dK1eGUfY1WCtOpJbx5TU1wY8TjBJacKQ4GTAZHfFM4Lpl4LLK5W4FrX4aydAGKzhvGkNtKa2HQR4CgqIbwUIwA77cE+hpOOijb/gyW2NG7xT2DqU6sLDEgbRRGgCVVnEzdMd8h6+J1rDgdf6kNK+BHf+JRva8DmnIznLgjcsw4F/1S7qJhtP1UK/ahLClcZQpTnC9oPwqtwMSmuGsAIwKlqDINcKLndEBTr4Zspoug5IBJLE0hSRWn0cMsgCnU2gmKxr4wQ9GICwA1at4diOkDc/A2CNozv2Xq0gxHnG5vLisT3NpnSX3jGiTNP4Gib0B822dQstlDkQcphpj8y7QZiDK1KAOttYLFALRWlKJvEpvcZnjqTUdVZ24QFEkOSNpP6DoyYJIJVCawWYWz9TN5zuy7EjQlhzgCJl6XEJd9+Ra3FVg8lyEoPH0CzufOfXWdt1nGbZhAak9tUmjKVCEHQGG52pbHddJz06dw/KZVCbCD+Su1qBxdxMOQfkHHX7lx3Fhq51CpQ+Aw9BwXBc4F526ShDDPcxuDSi9PDEtjLIVL0qvIfJxxSuKXO6pS/K2NS1eWTVVqSx1/qQFTb0dr5uyt/cSsLOk6lwsPlVBhdgZtve0LOR5SIAcljPCeuhTASQifpMNVIUWpq23p13GFoGk133r6zdbHfAmglMESAVPmK4gK59Ok0FT09odZlaUqpvKwqqQgNQGT1l7xaVyj1dSXqUpOXYIBlfSqcAdOAvAB+CxFE5u1lZn5zadFxWlteouglDl3Z1/H2UNt2/EwBYDCBcCqTB728LMyxx0BTuZrtO+HNC+9GW5SuSqDUocjaf5J3pmb4anB0VCV2MzWG1teNxOcPpWjUljDDMzLg7gUouJ2O3ED1FZ5jqCpx6UfN50Apnguu1lCvyph/64cqs8jMS2BndNxQTVy6ztQlSpPK4Upzhvtv8/qSH2BwcukLDHw1DmO08Y+KLwCpPEEUrjU8MH/uCFcWC2ujpth90RGDYiQtIKmfuQ67DcETFpQVFEl7LvClvTMtrI2EKoOmCwsCk00SE8p0lUG/X0CP/7SeAkV6QrTDEsrkxxC+XB51V6IN9irdwZKIGAyXyUPShGSgPYyGDyWHCyNWEEbg6leIA9lOH2DlaQATR6YxMGSFDQgirAUQSkxwTEsMTzFl5cBTqF96VXCQIn4+YI1MBVKn1SlGJeBU7J0oCQWxzXidU93gyVgavdIQYrxDEjZuEpHoMRw5AepZJ8jU5IysLKH1m6FKSp7kBR9gzJz1zq8pzT59D1fqP3wWlGa1aZETarWWLUOUE1tEZhoBmZ4QpLW4zII2vVFSuJSEEryLoHrDDTRPjg9PWy2/9X56T5DGabXH8Bo5A154v5qKAO3uwhJWdwKjKLClEDP7hxVqM0fT+dRsyMoMfQgqEYKPwxIfTlMbwxKkscpKLk36GoNv4clKhB302dgsruxAqQ403M/HLy77KB+S9CT4f314/AxCZqs/LWH7HFRVbpJ/+KlF5BIO4WOGg9QB+/Z/BZBiYcRWA1SGcNmsrOWeaPK5IfD9D+wa3ErSIpfxVm7N4HTSO3oNqCoq00KPhGW+owBT9WA6amw1O1nEmDJgRKJju45Y4VJwanXyQoDlQgy0SSnIFQprEvdhvNtlGelLk0qEyz+HpCk0x18lrRSzz5L1h5GE1vuu7Qyw82gtHboZt8kD0qmHsU3G9ADw8MDeBASzLBxSfI9HZgiJOWqUvRZKkn8GpBmE5wkaR6SGI5SFYnDADXGbXVK4+VeOFtfxb1q2l7+mCc5d4l59na7Bw5hin5PDDLxXKzDzsGL4ybzG3z8GcXpEKQiKJ1ZTxQnVZWGE7UEdah6kxvD0QqYHCiF9MzMFhUmTdPhJGdS3KiQ+UaFafJVUlCisPa61dqGFq/KUoGZ4qrdaGeCo26GoSgdPoDDtIwmuSsaLKFBwkX6T6GAP47hsH8pZX+lzBzn2+TYTba4MvbHr9jsjeqBKZ5ZM9ElytIuNKGv9/svtXfkApTuu0SQhN7JR58lFDRfJI2/9vgrwdIVsxrFJjlSk+L4S9LJhmGJR77PlKa6dTipBiwXGAzV/jxUwA0boPEpMHEaPERlqtKe2pTVhNc13VFZigCUDyMQASkqSZx2BEr7vkretyl/o1FQikJhBkZCYYsHAc7TgGkGouO4BIwqrcsCkKZ4u25WlhokyQRE6rMwQ1K1MDTej7kE2DIqRwLbzk0rkDkDOIu8y2PFuKccI5nkYPvd5EU5xH3WCvzGf/Fp/OZ/ab8Np+XJ22b+SQ6IkMcPyKL9TGCEsL4AqxSiFrPQvrXxdeYzmJktAo/7waAMmODhiP2Rohlu5atkWFNnVSkUeN7AEyhVXSfZYWqHAjCxGW44uhQMKc51LzLu3zhehKWuMEkGTWEYAVaWADRzXJE+yKG4l9J8cEqvLK3AyXeP+iLewgIbALOVvP6/AQRHfvDKTEmK0CTjK+DJzbvqGYmdrVDOTkhtpPCeV5+tMCYTBjxVAiVx4DSUpqgoETQNeGKVKYLSrVeLCE7WwTZo6tw/fJqoulykVZHhx6Q1UQieEGaxLoNBite3k8tRE+Q+wHSnr+HaZKrS+ou4DKK2JE+uLhlI3ULczeVlG7meF+AbEnujGKBAqssMP7l5LqpMK/VprST5cAZWmSN5xSX4InXfpBUwheUAwqrvyt1HqcID05ZB0hzuFWANSCF+CmfrfRJOelWYqWE/2f7eR2haTcuHvobD7kCdAPjEH30Tn/iBN3H78lv4P//hj1t69fmmzSM89bgMnsZ9ho87C0pTfchmWB2pIFxgUJI1+EwmN+yb1bI80XE7Xadza1ySXMjSJswTg0AEpABKCknqs5SZ4qDv/bpbauNG2RM4scLEpjinKnFYvLJUpHW6IrhUwVaBS/8JFIWmlTnuLCjFsGFgQxsFJn1FrqNd4y/fDJwA9mtiaNJ1Vpb0RdL8mACHT7TOvkwVUkr7Yq6iQxQOlSUMcBIDIwInadZE5/gNBiW1kwVH7zFuKYGS3u9pkNjeSddehTeqpvxcDvCxmukgKdbcLW4XgQnHy3uBEnB3B++oqu8DUss3m+iOHbujmS0CV+Y46OdoWsu+CjunKkWAykbITkAnDXvliKvjlFbn/eVglJnbii+LKqOTUyUgAtESkqhDrTHMFYM68D2H6xRodqYp/8HG7wt4vcZpgIhODDRh3W1XQ6OS3aOwTTrMAJCC0ykwgs8f59QZnOqFBkoByuaVnsOZ4KlQOMYXzoO+ro14tcZc14XWFZRE2JOGCpsp0t8d+LuTt0keyfj5Z78lBSaeQTe3yxhs7hunROExbAASExxyM1xftqEc2NHbIIhNcNnglKbunwMlLTdDlDJS2wvzhg0NGllVKtPglYXyqKrEZjeDpQyIDJMi7mqP8wDIpQHTQ+nMKv429Y2HktRvszPJ6XpUlUhZcqBEypLzX9qScPXxGjfS6NlUaFKA0qoSYSgdg4mWcTsXlnxZOyDF4QNe93QXn6VWqecfzw3gSnFx6IBcPdpz7GZz2+b2q4BkPjja+AiFs+XaP8nDUw5JR6rSSoHycIVpm2wIgDb0fq1e4ZqPtQdMBkn6sNStpsDEnW30YfXqEr/NhuVe+KuYXmU3zhz4W2E6eTJTo5EAUgTPaZMAuLxN5qvk4uk4mYI0qU44gCnYUvq/MaZSIeBBDkUOhHbSMpUpA6OVujRajYowqvCC/LKbMa7yCJJ4PShMEoFJHVZANyh06amqFMLTeEsc9rAktw4A+hMo1fyRtE3Wn7rNPqaZv4bz0MRDCXBJy1iyClRxHT2CYVr8So5BykxzClDXsc8JkARkhgOdQQJMvdGU8tDNbgVQR26heqOw1JdORdKBKqMaxaBU+i3v5CG6vsGZ5VJoqnkY1cdpldb6sdGznFUfffHQeDWj8fPF8VrVHCD1smS4iuX8uqe7jrMEeJ8lP1RA9vUbA9Ta5Ob9miSEeV/eF4mXZmYzR24FqDw+fCH2JEjKwuuBInNVieLqvM8qpQGTgyrxeWr0S6Ilq0mjAIVeJ0DgVCdz2xh3ieMAp0pUjgdtTxNvs5xew5MyzkmnV6Sn6dSmHb/6tNzNohwZZrgf5/UJruDvU4SYwQG03yUoZVAU95lsz07q7ETKkMSvEksVKaw7ENL1amC1pybxb1aNr+DoTVe4cKcL57sSJ2nP2eSMvQNJOguVxHBgKeG4AZbAz2iApT0zHI+xFL6OkwtQuifwpYONOnnrqN4bgFtNvoyT1RAC6KUq/WqyrjKiSptuXV9iZCsOjKL/kgLUdbSZMqBJxnEaME0GN8qhZ0W4p2CktxiqhDEsicGSwlOveB6UZAalDkcDmqKiVCgcoaliUpqc4lQtTV+i43O89WXG3lxrB4djjt8oPAApwhM9a64KvMbpLj5LAKjSr4EogtE8TEA+2/ZC6yzhgqouf9XlASHGtWoezWyrcKY4nYekY4VpD5j29pP5I/WwSAcmGjOpzqCULmMnS53cDE4Bhri/iB37K4BE1adqNb3ig7THNad3+X7A0WIf0zmcyXMmXe+h5kmgxgGUplVr4OJpCeUZ+TJ4SurG6EwUlCRRkwA/enYCTEOX7VB0CetjOySQBFOO3DoSSHIFsVfZOYqa/ghKw7n7YJaAj0N60BsV4Qu21B6Nw6NBTmApgaTmKyP9a0WFMIMb1XYeaBkdvK3tZ6VJ+44ZmkBxGTzp/7aPaPRjf6UCP5QAO3hfYYBUKD7zWQLgwna20+/FFb1CUqrINAf2X3LgZLfXwZGmsaLEatMWwgk06T2f4IlAaYRrPmvboYpTBkUpOIk9cykggeAJ9oJyr+nODt5rc9uR2U3jkjG1FrItv30w66uKZCCUwVFUk2YY2jfFfXXhHIi8o3cGTOt86ZduGSBtO6DUHxLnv5SAk97sDJIE1BFnEHEAFvWpD8cKVk7u50mHOwKj9wOcXnGafJZoqhwgQHGJ4V5OahIdJzacuxaoFSQxrKE3jDDVxylDyP2UOM35IPG21YCrgICL0hnA1pBkZdzSsouMBa4FzZ17DNPV70KTAtIFw19x9J56/ABLDEjj3Ch+3JsQjgA1HERlmOhkAy7VtJYNqi6xv1JQlWAYE9t1hiLftrc4NsRx4WqK9e16FHV+Z0BiaGJIsrbW1KYZk4SOPyGphDsrgOACSIVc+v716ziGI5nDEZYGHGk8wdIERwUejkI4M8FFeHLLBJxqCKv5fYImCUvazZ66pKqSVt178dLdfkjXym/tszSHozlNsCV5Z3s2m9usMns4ag3P+NILZcrHEBQ/p8/Dr0Nh8hAFsPlMH7K9baLZja6rRlDygOS9+FyBh1kcCO2OnxQ7xYNpyjJ65SQ+affnjulgP2cn3nd2nOrjKyo++2/9GH7jP/l3cPvSF/DR7/0+fNu//Gl8+Ds/Ne1Wz+9X/+0fxWf/wo+59Idv+CS+96989vj8IvRQXHYpK3B1gLQ4RkUCREhuCYFVPGa6D22MAff7bxkgjUY3wI1TiShPts3KNDdwpdrbrEOVBJ7mQlwVpCTLBJT0aBMwcQkQMLG6pAXL36jzSeyBkfZSrCjFuDBQ5RhqoApKbe1yOyNbPgDD5DYPH6Btvy5XL8FcXi0sIx0UZ2Psac9Th9O391maVaUm8aQmuCncYypovZ9FhCWgAXW5QLbabpnIGPHbD1TZ0zJQKtWNEjG+RgwKE0hlmuAoCxMkZf5LEZSyMdQiNGkfwQUxVbtedSZ1CR6mFIDn5+31TXcyw2klZ0iaVaQcmlh94u0Mvmo/hoLSqsFhFcnMbh6iMMKZsnT8VRz7LsXwq6hNk1pUj4Aqiat+GADUQqa2xDeJHoDsK7ioKk1wlIQVpEb8q076ZGhHvXhSHCiFbdzTdRaaIhAdxYXjf+4v/Ov43H/wb+Db/7Wfwod+z3fjsz/54/iFP/v34Pf+Nz+Hy0c+lh8PwIe+41P4rp/87+yBKJf8uPF8Qp5loxIAZbdfp/vH+VIgqphUJk2e4CxeS6g3Dg/EYcE8EwwxEGVmuLhPVoYiNGncaFUob1SYrFz0IlY3K4aztmsBTxKvPABT7WF18Oav4abasANLWwhnpjhaCpvmOjiVDW3cJSgwSXemZ1OcLTPTWwZKa3iy6xJguGobMG195q/k4m/DmaoEF299yQxMCKH8zk5XVi59uInLGNByqEwBmmZYwvg6roVr+xmaHjegKZrj4lACUUU6qSy5l+eDcIUtt3C3HCjBK1AMTwxTWU1+ndMHbIbbX7elTGFdClU/U4YYcoSW+8pShKc9ZWnf/JYrS68KT7U3gOfg6OLPV8dJqgU26nYwuelbAKlKK/MbVjPydQdJoDRQf87pq5q/Bzx70wqa4vZZ3NE58P53AKZuFZ/7qX8T3/TD/yK+/u/7QaAC3/7nfho/+wc/ic//V/8RPvFD/9j6kJcHPPvGb5oanqdcvpv2IEXzL/K4yz7Ik53fCpQq7S/eBocJDEqy+BoOXX1iGNJtE0CKMOSUIhgIMUwVio/wBNrOl8gZYFqAUY6FMIfuCErk7M2DUko8Duh55XWhuqZhilv5MMUl+TAJpJdvUJf6Og8vUMdyPZRAfEkGFJrsWjzKNEdqP5yAtulshlN1qVBahCLdXxa/gqUMntp9acNNwKBoDGQpBk4RjjQ/x98wmeImUFJnb1acDpQlfnneXVIf4oBKq1+ftc3fYOtj2Q9XaleVKoESfFPLz+g9pruOszQ7eMcRtOOYS7zd/ICYGuShiBuEPXAChWdT3b6ylH8JtzK/vQo8rRy813HTvpyZTWycjO5TwKY3rdyTv5J7SxBIrUFVImUKFI81JKX9Bk+x8veng9t0VJh6FPK7+Or3wdtPxzk7RTCKx+tL6cuXv/zXcP0bn8XXfv8fHpuUN97A1/ytfwhv/+//Mz7xxz0s8ddfLz7z8/jZv/dbIM/fwEc/9X341h/+CbzxzX/zfMw+bS9foL54MTq22ztvjX0NC8xR+fephpUJdDiZznm1rz0QS/MTtKxGA56gaC9tESdYgBTFa/mNcDg/b4IbBHLiWgO8cJwbtXsPmgIw1T7jgvaDuug9F6gSAE6WPfJRisC08l3Kxl7Sn0ApHZRIUWJlqQGT91c6/iKOyxDTUqY/4Nr3rANW6gCVZXhUsYqUhTNIwlhKH8cqhaMJ+azujHxFj9X3JdUGsRR4ULpRuMtnTmmi5eTDlA0jUDFDVMUMUQswmuLDOs/xQ6AbPU+112b9IV+ulqLLUHave7rz13D0coJoXjNgyqRXqlpjCVilnWGoNS5z2jkT3FejLOV+TDvhmgCPLPLKHhzR+fZaFlWkAUUbg1L18DQaSRkV3gApYD7PSMJIwmem2Hfo8gBy0sMkMFOB3X0dPoAMXeEYEo71+BvNx+jhE5902z184yfx8ld+aT5Wj/jo934ffve/8hfxod/13Xj8zV/Hr/17P47/5x/9g/jUz/xfePja3+HBp4c/+zP/Kn7tL/7YfLqhUXHgeXCJy6n6w2eMoNGZT9NI4xXKx4iwhCZdz6ApgaMBPBlIIQAQPASVRRqXlbe40cqpFl0Ws/aEGTTxl28dkGprC7wZjiuA0DMawnrae8DU4WiY7WkYAcnMc6V1+q2cGzBtHZhUPVK/JYaoXFnifgBjmZvivHHMcuiAldrz3NCAqTl+MxjNsGRWidwU10Pi76jCk4ujuqVXIv1BklLbWEzDj6liDBXQq4L0B2KCpludQakPi+3GWVLlicw6q0Epl6B0BE7JOnX4Bk2gNCRmOgKm0bSG8nvd0wcwgrdCUvYw8MwqUlvOMJTHafP61YDS0ddwMxApXDHkROXp6f5K55QnQa39fFlF2gIosXktU5SiOa5afr45Lg0+zd3s2DnW3VXXhqdham0m9UjC/pJ0VCzVqDjpw7hM5OOMDVqZfP4v/4f4zL9gatF3/Pt/pWWlFlQASLU3xmz/H//+v380LB/5zu/B13zP346f/aPfgd/8r38a3/QnfmS+VgDf/Kf+eXzTP/Qjo4G7vf0W/o8//TdNlyBT4NwU79nR5gOU9na0SA+44JytT6tMe/Hw0ORgLMbDN87St5266OR25he4AqO9mZWkCExhjCVVlmSjwqt2kvFcIjxFSBphsc4u+yJuAiUZhSdonbaO7K2QFM1wDEoPmEEptzRwmQKyWFq6vshb782q0r6iZP3LSmXyvZbG29n6Mw5XJurZBaB0UJIGopPj9w250qR5N8oXTXMrE1ymMNUkLVtGcArrq7ip/6i2usGauNik+7v6eqcPRFkySOIymt8QommthrjZmTtTkgyGNN+rgNKRsvQUU9xXD09xaIFeRhsaKC1ACKoo1ZAe4yqWv/m2HGMJ8PDESyzWgbmWSxLW26tQVJO4ZNfjsGcAadF/pJtwZLU4VZQ+/of/Afwtf+D7Rnp98QJAU5ie/85vHts8fv5zePjGT6b7H4egk7h8+KP48Hd+D1788s/7FoPOoTx/A/LwhjVu1U55eflJwqo8TzVK1NCloETHONqfAH4ASLwaGAng/ZN0qQBUuYWAV5R6+oQvQueYXdzuVU1XabP7Yi1FQ+xDUwJLohU0OUeFodEYB2CK8LT7G3EclnY6/SdQBB2UqvTdmqltg/kx7YOSX2pZRn+l2JVaiYtLbfsZ9AcEZemMooQRw/vmdD6bCFPas3EPWDsggfi27Dp+Y1KXKG6jOAWegl1H71dWmDJwKqOgpzgHVQGatJ/RvkXvl+7utx0sbaMqzBDpKz2QNEduVjbPgWgflFZ5fVqmIik8ZUCVwVOWHk1uQnmbaW0JT+HrNyCY4vjLNgaiDI42YIy2zSpTlQmuxk0K0OQAKd5YJEss1iVJompQab1KHj4CpRryTeHVlPVl6QEsjbNcvuZjuHzNx+yh3yoePvFN+PL/9Ffx0U/9AQDA9vIlvvK//Q/41n/mz7UGLts377gC2+MLvPeL/zc+9vv/jt6A0jkEaNrvrA+m7HxOTHwfhcJp3p08FZhVnAhMyTzyEdi4dIIpB0y8/wyKsvMhCOXLGFX4VAHO3aafCd/2ACpCk/th3c2f9DivSgt6uDJIyoYOGOo1MDl3R7+l0tKkAKX//ImO7D0pSzUBJVmBUjv3HJSsTO1WeJgRqHDmv9NG8FsyJYnBieNWKpOvD/FOA1qPgmFRqtsOaLdzOH73B6yBkiTqUk/vksyAIY1jCGKIqiFtAVCjqFbLkoR3QCn2K7wefz4L1ZQmLsd7THeApTLCs7lt3VDk4INF/AxKfl8lzevTMhVp5b+UAM/Y5qtXk6LvEiDtazY97tbPpRYgjJGklXuEa4hnqGI4YiiKgMSKUwCkKQ4whQk+3k0JkHC77VsUmgkO0mEDhM4nHuspoKT9x94mQotFRqmtQfvkn/0n8dmf/Am88Xu+Cx/69u/Cr/3kT6B8+CP4HT/wp0aD+HN/5u/C1//d/yB+55/8JwABfvnP/9P4uj/0A3jjk78Lj7/5Ofzqv/vjuL39Fr7xj/wjviwYksQ6coAa29jfrq77oDx4iuV/VE5ju1XecH56zs4sJjMuTAghHoo4LUJRBCfnxL0CJ9pPVqSjPuxOdJFpRS/JusJRLIGuKqn5jf2XhhkO8K/xdMYKR3oOGTCl8LSIY7Dqprj29ZWgFLt2VpCisqQgFQGJl4AHp+jLhHSpvUtrYXU4gSjxFRMAACAASURBVA3q8G39j0IRg9ERJNld5LhZTeK7PZ+5LS293Vcp/dj9azls9GwPdanOzt4dVlOn7oIckBJl6dAMF1WlGuITUNo1y3FezH3NmA6ft69+eu2w1D5750krlFUPC69gBwkgeeUoNl2zWpT5LWUQVUJa/PItizuCo6g8vYoprp+nOm4nfkgMSlFZSlUmDTM0xXCk+ywOyTKG4zT1LrZMlSQJ8ckuR1zsiesifnH89Nz2Ju57KMybfvIf/2exvfcuPvMv/XAblPL3fx+++6f+W1w+ZgrUi1/+BTx+4TcG4Dz++l/H//fP/Ulcv/AbePj6T+Brvudvw+/9qf8Fb3zLt7f7wMCUQNPuuS97+YPrlp0se8eU5DYs8sbLcnAiBkQKM6nSRMC0giblh7NAFCtdPH3ZSxyRe91mmB0UJVc6meE0Lprh9CK5R0J7iCsd/wiSzvwECkOS+iw1j+42QKUqUvDApANWtl15dSn+0O4MSLEsuUy1B8EIexzqH+xhw43WtLy9w7eG92BpoSzReVhcvIqV63ovpe7L1Lip9PZeZjOcwCtJuuxglfooHS0rZnBigCpJfKHtSGEadYhAaDLVhbBbwtLvwEhjeu2wBAdLVnkrVSgghyCFpJ3mDBj5V2a42QQ3b7Pvq5Q5dz/VZylXntbwBJSuJvVj0TAA3tRWx1AAudkNBlVpWFJ/pQhFGTQxIDk16WwN1g50bt9aWgZKIezWC/JJ5tMSPm48h5DmTEb5rg/jpQi+5Ud+FN/6T/2onQyXIYDf99//oov7jj//H7vGZZg9NE6vO5DFaFBCeToRY3WyJ8tkvsBkv30ap7M6/mJ/Omq3wwTJ0SFtGfq2DFVZnrG/HXAC7y8UyVivu8UQri/bA1fkJG4JT/prqeSv5Mxw1Z+kq0AgIBJKTsJPUZMuusQwxclFehkZGpiX1XqAyghJMyzNmgyS5R7WtA+RtnHMpiLFr+M8JPk9lCTOK0t2t8XOSuz22JnyVekVd8Ol1kEBVGnCjfYlcIpTBCQIng5KK2VJgSgCEoESm+IcTClcBYDKfJjGsxXyV0q7x/SBwNK6STpWkfaXGTCZkqQNzKw65aa3HKISn6QalaOFz5IUVIlwFT/97w+dglIV+9KNYeemQNTjt0oQJMBWZ0fvDcDCAXzPDLcbBhw0jWlRgRWOIiSN+KRaLEGphMPUEDzRgWseofC0PNiXm3rjt0jajw8ZJDs+LysMQAIwjbjsWLHHR1g/utaYnuSfwHSVPzsH8Y2/QwcZt/5YXaJ8EYRW4DTCdS6SbD4qB7/1UZji3BhLyTJTlSbFKSpLvdcEPcSVjqnHd52SWKcXf/7EAROHKa47eetPoIxlAUofTsBUJcGDzGAUVaWVeQ7Yg6X84WbV6TZCgwxhP7ib+Srd4MFI92jrq6O5NOG4StBNV8h+THG7S9+zwMZjmpSlOnybDIRk9CWjygmmIQXSoQZKEs+AVH1cNMPxS1+mLsW0VVwFdj8ieT+nO8KSryYeajDW183SMTAt38hc3qga7StKXhFi0NmBp/GW4ZWjfT+lfpzxkyQdlLryg4rZvLYXjvnpzWAy3zE0xTC1q+mMZBnDOmWd5KJHqmHZxTVL7w8oq0nOV0noHJadmKWPH2XM2tWjffCxFmmS5F11thLWXZpun5VbpTzc5/a4VNmJcbRPCevxnGq2P902PoZJnjRM56T9uz7FUVkS5CCUzrq/Opvl9vIjxC/v86kpXPSuuhTOcIyztGN6Q1SX+vokXWwtPI2rJPQsywxMCkcxnI3ureoSARNDlGy9haSfQdkqwu/FeTBipQnJEj3dl7VfrjQfLvF2PMWyQX2jTY8K07GKJO44cx4NxyupmPHPSmP4MaEAl9JASauDggoDki61X7hVD1cMRr2qnQKmDJAiKJGZjsFogE8GTwfQNNrV3y6wJP0QesvF3X4/H8PQ/pyrS6t132SuFaUsLZrlcjgCGKgWpjZN743VPEYSUMdbGWalaNsJVx+P/tUb+zDtgVJWiSso/ARYcs7AQnHaPssMSJX6ilopzKC09XU+prZ4QvGLDjm0Vs3kFtvZfq5xF9P+ap5HQp6wa8un1xU2HP64CSQJx3Frn5yDxJV4T/b7mSm/u4Zsn0fp1FdPzuf9PkxmNtEn1u9yCT0xn9D6GciKp0zXfXTJ6ykWdjJPg1DqkuGJISkCFJvhSifK+IBWe/j4oYzANNoAseVZZUldBPTruIvFKUKowtQGRdFdn1OTVs7esdLu6T12V6x/2noZ1UF+42wRYcm2lCkOlKLHmM8u1ogISBhXOl99u9fDLFdlQAwPLzC+mBugFNZXS61qCTBxGyzZkkBp1BeCJgdDJ+AJgHcgh8XfY7qTstSqiAemDIZaOs/7AHXeTykqS3vmuLWiJOOrtLG9FIjs+SRJEsdDCXQFaThuo5vRkDtrd3Objxfny6RvbrMJzof31KU9U5yDoxOgNG6rJid9xRKUaochbcNpuwrYg6h59fhCy51zEQ7QsSUcK9te4rXyMfvS+Q8dwVQ8Nw0HOJwECQpHRWcy5dE2EveRXXNWBtk+nzKFvlniNfe4ONbRML1RnPRtVDGa4ApJft5OwwFi9zqzWATZ+hy7KMhJgotnHOHowOxmjkJ9uZH0xhVws3MZIBTXQ7i/cE2gROEaTXAFzVcpxI1BKiGN5dB+BoXBKFOXVqAErEFptTSc4d5GS0YHFNj6fhWYXgWWMI4HOtZ8RnU8k9LPYVxlXVy9XGwfWp1qULIE5sc0gVINgCRhHanS5FSnBTApHGXmOG2vIzRFeHJxvB3H4z7THWDJDvEqqtK6IeG88Ys3D0iZ8L5Sklh1ima2ZiJjRajD0xgnyatNEZ7Gfrs/EgiUnPLj4AjHClKAoQmmKuWjME6CUlZpWVU65dwtM+y4uKw3qxgDSlZ9SApBUj/Xyg+QhHByHu741DnzsSsoLm6b7U8fWj1+78D5fIS30bjN7240QnqNPbwCpMksF+alGU7mfbn9xrJK8kzlsf+4uvx63yVuS9c1+SthjovAtKpKK4ACb5+l1znvasrT6Cakhb9zlsLx4aqX8BRAaTh4t461TfogMclLAklxXTwcVQozSCXqUmqOE0BEUDbgUmYUGJtjrS4hWc8rrl/K+A8Xp8MJtCEFNmzjGC3HDEsFHututHc+irhQVhvOnbkuV+h4gTSHMDtONLUJZnAa1Y1Mc0FRci9sB8A00iqlMTxFKOK4CEgZNHH4TtPdfZb2oUhzrNSkkmxz3DzmQHSkKDH4ZGpT9uVbpiJd4EFpZWpDajrb8006giZvgsuPsQtKmp6BE5JwMrloeuIzp+3aG9ChJHGbrsAU9x3eNMbo3tnU4zNXkaFwcFzIO3bN++f+RtclLHU/2dsQnf8hJPVl6urCaQL82l/+ND77n38a9XZzeWWxXdoq78SP84/5diYG4xT+wjWkJrckroS0zOk7thani4DOLaa/2rQ4C5muJslzpCxFYOrmODXFuQelVzA2rWkl13jwJjKHGYj2QImHENCwACLS7lmR8evyPFjlvqq0hqSV8sRLSdZnLaidyeYeci3j9pWcOBOdLj0wyTiG0NHiWQmyq8ivqEJ6v5qn9/6nqB+TzKY1BqVMSWKw6pedqkxaLQmkRhoB00gjQBppAZqWULQCqTtNd/BZama4udLafEZNOgKnPD4Do7WSZKrTPABl7oNk62eUJcBUJDei9qicGpZ9ZUkr2jYrUXvQ5NYrbRfIvoYK69aB3BzHyzCxv9LRcACqEg1FSYGJ9xfDQucTzy1O4bgSziG1itC22f7cyfT18SDzufX8zi7Pu2BIWjVAQnF8vrqjPn/zD76Jb/ljb+L65bfwv/7Ax83XJlzXUm06pIikbA7mzC8p22eEJTdncVmeenzqqznLH6csbi6MLE5sdXlGeyC0Mr/pQ36zuNG7qZO3PvT61kGVcgATFmAUwlvIM9oeobZILK+emg4p0D95hwBF2r7UoHRWVdI+JY/nQp6XQusRdbzi1Mprc8pRgYLSvKXQEc6oSRGSsuWlPQ/9lo14YXCiEqgNkoeZrjZYdr8lx6AUv4bTpbYzDFkLZWkCJFqyqsSAFFWmAU0xLmnbXdydpruZ4QT6BvBUVSl++m/zDERngYn3uW9yM1BqlB6durMhBCawUvMdwYqSvY6RNCtFNYkXIMtfLZwqUDVfX/kuubgMQlaw1MOu/iYdauWw3YLhuN1/4cUUpbAchxQ7V4UrN1FfAG4IkuPrbzF5YGrNT+bwHSdtyMZxBVAzh3/waScFMzgRMI0Gko/P0MRVmN8Ck95fIWLxKPm8K2KIDJDFZfn38iT7sc7AX6KEuFgELo7zVb/fM5eU5V/F6TS321yZsotfnNHejZrS9sBJG4n+wI88vYIy7Oi5HI21FAEqdfDGgKZcZUIzyUnPV1oLaqeVfAlXMcJjKR6a8juV3zmhOEYkC1WXt+UcZ4OoHunSwqw44cTy4OxdHVY/JsZLAiYFJcVP/V25TZoltvuLteqk9wHUh1SDIK1yrE71ascvbw6QBN7kdmSG0z6JIar6fCtoYnh83dNdzXCtCvqHfU9VmiFoD6DWZjgL+7iVynRm6IBcUbIlDyJpZjeY2Y1+1PBJQwIchCczGwNYXazXeR0RnnpljaqS81+CxY8ptMFa/MOfVBocKbRUIVjqbX8KSaA2Pjw84xRk0aEl/U4VjA+Qpi/isvY2m6hMdJ39llq51lEYDEpxEDf3FUlodLhaC0JcuLbMZLfnIJ7Np3ydYnw2Zfl2jvfKylI4jWmbUEfTbRbh9JpOTWcKOJsPFKZD5UkVJoUorkR0bnHoAMgajs7A1ARQFMe/F6ftz3hYZzPbeoDKLO7YBOeXQIQlhNANNoK4XeS4mL5tBk0MVDda6tF4yWe18r4iv6QRz+tstjP/tAFSvZ5JaQ1H6sxNPkwQeCVJq2oGSgJr6xiABAZAGkdhBeQUijKQysJ3mj5wnyVuGNZpZZlnNsedU5XOLReqE4JpjZUo/rKtKsyId7JOYOe0E/dBOJrjBvRwes3ToSDH7cEKlAhgHCDVEBWe+jjopPonDTgSOECqldZ1v9m+FsDGcOQaADFAc5DEYczh3SmWRyyj+JBvvWgOQMmtU4PFkLTb3wLewXvVV8eyQhKPsJ+kfE/NYZ9jovN5Ciw96TRk3hZhH7yeheO032YfFWI2U8XkuNPwRAqTEChp+gB3hIcE+xDE0DQBEYVrEq/mNzUHFRn7HVZCMdgxg+LRaN77cLSKjyHWgfS/tvL+J1e2fjyFITXNbT0nq0o3t39b3kJsPEOOb4Uj9RLyRVC60FLTS49T60gHpdqXCkNsigv9hXvx4naHQYnbJwYgVpI0LoRTdSm8aC5B6bcTLMVxljCWs/mMG4aVqmSNBuc9A0x9WTmdR9T2gKQN1RqUxEbWRjIEwAAlhpW6gCOZ4CnzR3qKo/cETboeoI2hiE16Ix9DyxEshYrr2mFdCpyqlKlJdUMDpAL09sGpVyNYFuflKmAdx1Y52UFSUUhqPWgt1jgYJFXrR+hyskn0givM5LbzkJu6VA2adBuIV5a06gMenMIsMYx13nRbJGlYhMVWj/a93H5x/sP3SChZ3pdD7G4XLxU74fUUCyjbw6oAVpA0KrGPW0ESChwoOajiB4UeSvcsydPCEY52wWqOaz8Sq2doo3rXCmwyg9EMSC18BE9Itmn/Lc1Kv/0pAm3QAQU2KPS0XFFhWkESL+NR4xkFJUn47Ht81XwMSJQ+Su3SfZzsWW0/xE7nQw/Z5L8kAEr18NQbSP4iNxs+QNOzuDH3Z31qI0N8Bk33mu6mLGnFeLqqlKlEK3McK1AJMNXVF3HeTLcLSENFEqBauMFRAyYEUMpUpNPK0m0RvwNGkwmu+vUMnPScU3higIqQFCvsBCvWpo6K0ItaIWmY4DocDSdvXbZnfYDXAK3Nts0fHA9KNfQtCmgygKnvn4CpbS+2v6SnlHEo8dn23oZiHg1zQ9PByPnkUmM14hBOSxsZsVOP/e9pcFrNWMRhZ3vM21XkxxGeOSmuJ6eyd2pH01Pzx2lUQbeTr6awM0ii8K7CpKAU/Jgke2DkJByF9fhF3ARIQu1Tj+sKk2xh+036PW/LAuBS7Yd2V7CUKU1cEzJoyoBlVpg0rCiEAUyADljZGqJ9VSlbIjmP80uATXUZIMVlEietB0SR4bsEkeXPnThQKmgveHqjNI1BSLBWlFhxCvDk2sgkfoInVy6vb/oAfhtOq+V5OMoaEL/9vO4aGhfOl7lPUrJeS7s/VYZ5TXR8JAUOCmeQ4+NkgqP3XU1K1hWGIjiNCrwHSlRpp1G8ORw6yBrnYIJzqtLWwAnVs5nup7dRfowl+ONxP8RKloLTUJYIniRUm/58o0p1l5NOPG5BBkERmpCEqfxSSGJA0rY69rnF9qenszLDHUITTuaL2yRT3Ac708e0CEvQJDk+dHYqr3rqB5c0Zx65Fw+Bu8jszEKb9UqQFEBJ9EGhPEIVj0E/nvMKlBR0VtBEALRUldgsp1/HAb3zBv12XA5Eaz+ldg0ZJOXXOaOTULyhD082aOUaklhxir5K+v+2PMP1UoHHzkUOl5XyMjhJM81B2k+mMPiE5zJ+JTfSFGrILOdAZ6EoOXVJt+E2csvjR/0DXNv5uqcPzGcpa6oyx+0VFHGDsm9+iyB0tMx9kxooLcxs03AAnAaCknW+AUS3Of0QjG47aRGSGIYozsETAxKDkubr6w6UjiprdssZklTp2QyU+Lc+efw8B0t6/ouX5aEosYp0wawsBWAyJ+8FDbJZReFmPP16LuKzh/IDkjBgL/8xrOuxz03KdjRe3NKq9UX73Hq8Hzcj5MNB/oN57zqOlCUkpxBPJzu9p0xH+XkoomyZn6EGjwone6krSdqOkuR8lS5oMrU6fAPWGMgMQ6NertIonA5QSfH9pdBBk4KSxt3sRguauiGQMTzTWVga9wZeb5lrTRY36zx2RyTsvSlM+htySgQy1KYITLo39lW6pUfzR12daV9SGzVfMS+1hLg01SOrQkp/Q5UyVKYUlATWnmmbQlCTxTl1KcTF8AClFUBpcev+7PJf+3SncZZayCqtVoR5kMlccSpJWgQn/0bmP/3vx0r8k/y+ooJEAEc2/aEoMRRNAFTnAScXfki1v2Wddugm09ye6jRBUhLn4ivFB2DiCuu+kkMS5mhJlmyC47kPWlcvQH2w47h2m263Pw8lDp5lcusY4HQBUKoHJQFEKike627QV3LfALcHXZqPgJ44MH7TVDsRBSjn50SFN94Gtb+jY9BeQywcBCloRWVpD4yeoiI9SXF6wr4YlhCyQubNEcLZetzP3j7idnMh+ynWjDpa/ycWlssTgOkpX8S5uASi3EVXW2FQ4q/jlnBEaRpmKBptjkxxwkMJsBmoR1Ud1btoFx8Aqc5xEIvTG5YjBN9Mb4az9RbyaS1ezXLtWGySi2DEKpVXn+wMWJGKZ2aTj1tfYftpFM1TYf5KHp7MFKc7KnY+he6HVs0Ot6xoS60U1qWMaqsuHpNpbi9MQDQB1Bbygpavebrbb8MBeu3RVGZVclaVshG7IzjlatJsbjsBSC5drGfe0FUlrEEpiTs2wRHo3GbomcJJnghQEa6OwClTmEY6AVMcg8k1qrBwjB5T1jfE9rz/WHrt51Qf4NQlAObfpI1sBLdwvOGLRMcQ/VF2B0rVQImaQEHtz/LeExmaNNFORmDQ1BtEbhg2mOIEOJ9bFwas8Sj+aKMh4v52zwwXFKUszu3rRP/+lHxP2cdopCl6XEsoeVmEed2VWzIt0482pMnXEnGL44uf2yx/U5M8S1CK/ko0SCUqAQo9PPHlZ3rTCfErUGKg2gGo5bAC/dRK+AyVwWhDbqLjfKBlrBFCcVG/kR7HS5/W4s1TiYHJH2NtjgPtPSpM+8sWrhQ3m90sz54pbhXX6pVARj2ZTG9aZasPZ/5KoOVI3yhcQ5jzJwD129xnKTZjuYIUlaM5f64mHZvdoh/TjsQNlT3I1KbLDai1OoVowAvneSIoHTpx75jmsDLBBd+nI3VpAqhKaRGQIiwx0KyYQmDinM6kKI2lqkodlPTtcey6b6cdPI/BxMdyrh4dkixcR1hKJUXJxgtWUApHX16ca/xqWEcxn1qR9jamefRhl34P+vmPsL8sazD4EQDl7Q3Nr/ylT+NX/hL93EmBL5cKB0lLaOpx91KbUt8lhj4tq2Rz7ISBeZvDaZGpngjb9qszPCqwaHIL7ZWDJKrsKTz1N5BR6SudUqjjDpgkgaUk/H4AUkGXa2TUxeLKzCCooV/ezdt9kJHGSyRpus7/56U9zdLDOpzADbW3GNs4D3MJ59+Lu9ExMjNcPMO9s+G46pYZIHnXdwYlU58s3HrMZgstQ/lOlWlqGxzk9DYMgqFETekKRxvFL6DImfo4/kzz/D5Nd4elXEE6MrlxQ5GAU+W0DkiSA9NY1lW8jEEkMwUpA5/2bWtMk/Nfwd3W6UvFKULSDjSdMcGtAGo0fgfQNEApVF5uW/UWr0xw9QJsD0C9YQBk3QiY9FZfMfyb7HjUg5Ji5CDpAQ2UFJJKe9qkqIrULtTCPb5f3HjRpQdzvJXu2rg6mUgQ9RVE+vmPvnWAkm++Y9itK/R0ePq2P/Emvu2H3sTtrbfwP/6d/edOIhyt+u2V0lSowTsxvyo0sX+E81mSsAxlEOOycCy7LD6P9FOEJNdWB7Osn+kAe5A0bqbGRVDi+ExRUjDq4QFMG8zBGzAJufYHkx82YFKVMiDaA6UelgyghjosZtfqI3rL1m5ykbZdFb1K8rrph7TvvYTuTfRVsjBDkoQ0jYtglMWpWzd676Gth/ktKU4JMh+m7GhRz/Jn5pczCvalZCVQ20vayNdLjIhEtTqRcGyRNsyAqkz8rGbDB2wY9cuZ5jYf12BHKIxDULKhVnBXUALu+NtwgN7KXFXSh/+cOY7gqGbqkW9gJqWJ/Zm6eSSOtn0ISnrDTsDUoQluw/gKblKQYnwGRRGIwjqD1F58OtfFuravWhbUY7ix7vo02t1+e1JQugD1iuGvNIFS3w4lnLceiB9iNrE9tL5iAFOpQNGnre1EOiRp2PcQANIn0nfH0sPW4BVa7/I2ugOlxvfef7x9bbz3Oo4R+++xrm9phdIqrVO/HFWlkY+XWn5ZPy7n09+P/MLnH4p73YHsh2M5TvFZhsU01QhJwCk9UiyQzOyWpR2B0gE8jfXqDxfruj6sANaqUpLG4LQX3k6Ei4yOsWDWPqKjt6YhxOlTBErPa8iZtBbWp9d7J2lxqtM3ty1a0Ozc7feyPhPZSTu6gswEpyUSS5C3LSGfvSU105z0Kiq+/dmo2mr8ACMCJQaiVZiBSPdHfY/7ku5O0519ltaqEn8Jl5njZhNbTFuZ4bzJbeSptMxMbrqMEFTXEPRKJrgAQfHLuD01aReSIiCRTxMrTpnChBsmSMr8miamqPBmMYUmehInYOomuI3Nb11Z2p7bPkfb3Nv74aMVHxiBgdKFQOlBw7XBkqiAbgUhdHHa4Fnzm03cxGSzelZ0WRvSj6HA1NP6k8+/G5c1lFOYoUjXdbe9QRn+S9wH74ERpx0pSU9UmqZj8fG2RX4uZV6XuXMQzHExnK2P+FXCzhS5YT5KVgBJ/HSDkhc/CevOVLcHT+y/pK/rlU5x8+8E7oLowk59DUdpG6WdAaQeFo3r9Wur/ZstaeBU0PyZ+Es5wLr/CE7xx0CAPSdv0P9cXbqF/N64pkXBX8rt72HWrbJ6LFMct01rU5zGVRf2cTFfhqT95a83KkNR0jaIQUnjheIDPJ0CJSvMpeqkl+vGWH1N0wfus2QP/xmlKQEnEaRmuGw5emmxB5reiCIQeVMbJrgwlUlO+SXtmuUyZemWhxH3t4KkJE+M31WY2Gmcrp/LZPhrcaXW9X5XdPih0fb2Wc1l7Ku0KTA9w6QujeEFet4BdTr1faqKJJdqoHSpDZQutW/YZsHVXWidGgnMT6KYigRwszmrSuOtfgKn0h58Tes//eA7eW4q/WXSLtrE6wRRw79H+1RttPRxqrbc/UIumuaeqERN+4txvcGNeVzLEdYR10M4i1uta8QUf2Y63OhMIZVFoRTaNkKR3pgTKlNUmMYXcVq3N//ikX7GihyWWFVyJriwno3wrUMIBH8lU5gaGBm/D2ORw4IZknRpNyjzW1rVHMHa7Vrvzo221XV9HVJgam1KfI5lHGHeu+X0rUyeb50W4UgT2I9Jp6gyxTawv8h1Mmr7Ml8mbLQvraobhRWopXoIElMPobtnvnQATnH0kjzauztMv0V8lhJVqSaqkvA4TJQm5nPk0lJzG/Iv2wIMYaszRKljd4CpM+rRyj9p6cQd4YpUJmeay4DoIG7AUQCoNJzMDE5aacvWisy9CXTI4co82lkBttJmpyw9A7ZnaOa4m8HSJh2USh2g5EBWv9i4APIAyDOgPhPIQ4VcNshl8wUwIOlKOzNfpfWTmDVX8R20A1DV5l2BybcKXubujVDpzXHSv7rGLfIbj+lURjaDJu2LV2Y4oTiZ41PISvp8d4xs3hbbjE4SbrBKLmldcXcgrid3h+OyPPPKEybaznc3XEBAVJRiG8j+bHMBBUBK46PpTQub4Knq2BX9AXXfX6Pn14uQHViS0GnxOuVzcASvQFUxn/PunwTy83Tb9me7qUsyqtfRGNV6KUjCgNCVn6tBEXH4jvkfPWmg5Mdh0n21XLOaxC9a8SyyuL2zXSFiBKWKNsxAgCNJ4EnKfDx1Jyj2oKqv2QChDjgNkGSsGxBVD0cbbdvXd53B7wRKwG8Zn6X9wSatJc3MdoXyJ0MN8Jdt7I9Ud8CnYoadA0A6BUocl3zh5sxuK5PbETRpesgfwQkcDsu6GahMsKQVVityL8/OGi68UZvMX7aNdlQImFRVetbn53YOW4WJw4eMQQAAIABJREFUgQVNKXpm59MrmgMlPAfkOQyW5IoiCSQNhSnQX6+xWY3WZezcZNTHbYSH2W00PAIPSrzs5rluc4gwMPgtCTtVSdMVkHQ/QUnag6NXGrySIOlMHgYnzc+gxF/CjV1Yu2xLCeuLO5ZNciZTnyb2E78+n5me/KowYqEmQDRtf6AgTeY37VU2nzYpS9VfkF7HUOMXF74HSCvAijBEsDTaokJhPRcBpJhJjn2VFA8Brzix35L/GVrGiAkDXNysA7W4zBwnaE//rR9h66BUaTuEveVHl7Hm41ZnGTW1eIWxhmbtzzqcp5OCXsQ7a5NSPABHwUfj60F4QBbsJV33z23/nYDpriN456pSdMz2cTMcaYNh+Sw/f9UGB0eIHXwGRhGI9gApAaoUlBZfs2U+SdHslpnZJmjaU5GCgiQrSOJ8AbqiojSgiLhCAan08NbD2wbcqNzjmEnaOQ5TnCpLz4H6CNQrsN0wXj6q9HzP6Py4g+8mN3lG88OGIldAHrHhJQRXFIIl+3lMBiXvEDlOdloyIOk6wbtsQFVQUjMcg9MKmDrlaEOjR61zeDRMHCYgGoNSkuj6FEXJ+SQx6HAfHuJ5PrI8RaUpy+84htbdchV/EN6PtCltj+Uoj3byvs4cF9KRSe0MKMU48ldSgEo9/DWL0JKgB8AEQe7RWYBTpjJNsETxNKK3lp9cANkERet76PYZnIA1NsxxHL8PSQhxPmzKEp+dAlOLUw1K0qWF45nEs+PjzKi+BqUIPEfPyQqUtD1rRKPqOGo/WwUfvaw9UKJ2/BCaFJRo/V7T3X/uZHQkMHDyX7S1EvYmN78N+x9F36SRX/2IEhjSzrvNddwAD0iyrzSdAaUVCPF2bJZbKUs7YCQLIDoVR+uFjs2qklsydBKEDgjaDJy2DksKTLcNuNU2X/pyuCsIcCvVvoh7BtyeAduHBNujnc8mbYPazXSsbg8/pQegXAB52CAPN8jlCuAlBC9Q6ksAV1RcAVzRvoBrFy7jyQQAM6LYxCL5XC8ZmoQ6K5EN5mlRew1evK1NHX4B+3GY6U2mz2aFKNTSxMxwAgdSGRw5vySOD+uun98xyY08O2mT0hQAKipJiOv+Fk3BNN/BtnFagRKhh3vJdbdG9J/ObV3OFM7u+A6r+BMANd4siK5rRXtr0Ye5taHtQuLFyhxm8FnlC7DkTG6Fwhzf6UNN00VNPr0cK/xXcpdKYe3uxf+SGkL6uKEhvDKI3egusrp0C+m85eYKkL+Qi8AUj8ZxQmmrs95L17aG4gTjvEY6fd4s2oBM7ZU2IpwH7UUP6G2MPqzVmeE8KPVGTyFoQFP10MRQLlaU9zTF3cUMx/w6qUYq8wYlaYKjUaF0HCXdtr8yd7OFDQEAryYtwGlACz3wh4Ck0LWFbQheljAVfJYQ8g94OgAjty2b0KKprcdF1UmPyYrXZIlSIDoxxc5CXb62Hr7pskPTtdryCuCxb3cV4FqA6wNwewPYPoKmMvUHp16A+gbaWEvaqfY+QS4V5VKxXTaUyw2lXCF4CeAFCl5gk5coeOywZF/CNQ+TduESrsmaJ9+4WWPHZmDrrBwwUWO0VpVsco1e/+Z/OGdTjtHO9eUEQ2SGW/osVThgScGoUFoGOQd9/lEf7/a5YVh+IiQK7HrSskrSs7wxnEesJ22753hxefx+X6FQUqfuIwWpnsh78fm49xqdj8CrS+HiUyBCgKIQdmCc5JMQr+qSOn/3cyhVxn3mL9101+yvVCHtmw6xm8HqU14rDH724sTFe2DSu6hKk7UCraz9Ex/PQMZ+56NlZzvHcW3MVaTzJrg1NKkfU8wvY3iUMQSEiKlLA4j6CSkocZihaEPvkMWrTXcEJeBOypLeIO+zZKaLFhedvDk9+RkTHh8JMoDHjZFEyzPAlEEQQ9RkllrBFC+jo3YAJoagCEBLZYkhaWVCI1DidT3v4cagnSRBEndOevNGJ1QwTEOg9NG+AqbcV5hf0tYVJDGF6boBjxV4uQGlX9/11qDqegGuz4Hbew2WtG2vD0D9EIBHjK/s5ILmm/SwoVyuKJcrqlxR5REFLwG8BwWmOmCpmd50fCX39du4NG6OqO5RnZQEkuQwnP1IgzZqtmzlbh2qOlKOBq/6MACvONVqJjruF4/UpAhNBE6SxKX9e13P01cvce7QJL2uabRefNZJuEl8+ikO4npM03Kd8nPNcWFpd9cf/wwoMeQkhbSrIG1JHJniHCHHbehqna9SvNgDWMrCEZ7615+7sCQ+XtVRbyQXuhpvgst8lBpM+fispqxUJU6/hViv/Bgwxa4kd/peKUxCe/RnM59TvIrQlvRS8G3OXAr5Po6gifNYWznar9rbMu13tGAEMygRJKV+SkJh0PI1T3c0w7UbO/kdCZnjsPZLAsTGRtL9kIo0fdFWAfdjtlWQfuGmjt4rgOJlXcTzck9Z4rRolguqkTPLMSRlKlNQlhiYCilLtUOJVkL+IGasg2btmCqF2410YfQ8EAMYB0x0W5jbrhV43IAXN+DhKpBHYHsEbrfeZj6v2K5wPktbAeqHBPgYxtc0zT/phvLsivrwErX0GS8AgiXgJaQ+onaHbv1eRaZXFO6erS76sO+IFJx0yPAIStpZNXMZe1h0QJI6jmbL3hB14mkLaioZkPhruABE456VJD2DJu2vIxAxZGXxDEMrDoj9fQCnqjDej89KkdbJOMWGX3jlKVPYZg+cGgfUkC4+r1i83bVYCHFWUsziM4jKwGhL4tjsRuvYeqHTjWDzm573GSDi9QmOFmllEe5qkjPXjPpriKDddzaqN8ZpZZB0DhN4mf0XeP8l9lsyh2/9hETXdRSmLRwjB6UY489hdfZRra5JXgYcCkuML7RtAk3VGhT9cq7tp9i2MjZtV1F1296ZMBj1xj517g4AdS9QAu4BS2MMJEArgwFPgX4yu1Saqocj7Yml9upguD6BjRbsBDsMVRkg7QHTU5cLKJpMcMHsFp25Ixg5xYggKypIbnwlLacFHPk7QHOvz0Nx6rdz/jS0356er4ZZT2+DmeAet6YsvbEBz27As2tbPq/Aexvw3lbx3lZxvVU83vqO3hDga0urDw+AvAHIhyvwxiPqs/dQL++gyjsdlnR+CemqUkX7Nafx1lVhP2WSloCCe6HZ1u03VUpvEj006Ttv/NA5jjs8LalMxxhN2kbR/RiAQhD0mZ/+NH7pp+234YYZrl/O5LOk9zBCVBKn8ymV6WCenMS3+RgD6vX22CLtMKyATkWdSqwxTGM3cJudcUO7jdzB9w4j/cpN6WAvPoKR3gyea4jrlcMNLcDh0ZP5ctgDoiyNwWelLDEUbcCAIuW06PAt2jYK1Q8ZdVp1DX0dsfswq0tPCUd1KYMW7tluyZasF2nb185PR3SzAvJwJNN+zl7BfnoGTfv5d5WlWkJalq/3LDo8hlZPAdT8wGAEweKLuDr6m5EGuRsw3dlnyc+pLxJYSVIgUpMbzB9JgYngxgETxaVQRHlZI32ykhSX0QcpwFBmYpvAKvgi1RUkBf8mBi5znsQwZWgl1K/TBRjAVACDIlAcA1VPH22qVmqxuDixmj9OqRo4qb/Siwp8BMC7AD5agXcq8PYV+PK2YXvc8OLF1ujpCuCNC/AND8B2AZ4B9SMAPrKhfvgl8PxtbOVLqPIVVLwLA6WrAyX+UYL5zZ9NawxF8U1dQeiGBkOsIG29qZ5BaR+SFg2gFnaNTfi4CAdP3/5n3sTv/tM/jMcvfhl/9fd93PpJgioeEM7e2kMFYJAKcS4+m0klcp1myJeKKLr/zSdB6+BiimU4OYgfTTKKcExpmDhA43kGPCu0R+TowjktKkhaoImq5Ao6gyWCo+ivNLbXoQS0N1pc2AqW9OEu4vNGeOJ8I0z5pIf1MiM4KZHoF3LSno1RbWRWkfQZr7vhY3zYwyUJORSS2IdJ0/VyIizF48oUmo+7PlsOZ1cXr35VOmWxXYQhTYt+TIXird6PlwV9OLRABMHR+yCNH8DXPN3RZ8mEwAySqHuG+iIBMoYAcA30ljhwRzhagNMuDLke/SBvBkFhmcHQZGJbwVGEJwo7nyTaLgISKtove3DpCpd0D/eKp7NTmGQGK+23Oax13ykA3O7GNhQETLUZy14CeCHAu9Jg6cu3ijceK7DdcHvnirfeu7Ub8bUCvPMA3B6AiwBvXIEPvYvtjS8Bly9A8AUI3gLwLgQvILhiww0F5sjtT5JLyM8ekhoQyQAgW2qrLw6Uas+jjQWDkv/lKi+TU+M24ECb3HaDxhsVQ48CK3VkY+gA7oOpB5/UobA/LhqJcbFvzzpWfosUW0/nDZ4FtE5ZwVi58C08ms7k0V1KEpeFJY/nuPjFvXWrdHGjULZFGtfLDV5ZIkByY0ZEWKL4YYMNP32iS33QUX1HtISluC7ufk6+SSWkBXiSAlQHTmgvCtpYiKiXNfThEAGKCN0T310fOXPPcf5u5f+zNR+/Do9Lg/0sihaKP49ZbTo6y72rq1P6ufCeU7d/A8v9mKSHW0Mh2mBUoDlt93q3ydJHKTXF8cN1h+n1w5LkPkspJFUeTkAVJJhfUgY9tfo4B1MSzG/0cBJErcxvS3DaWTIFLKEqU5aiz9JtHWYfJeHjVTvXCD8KSsWVuKlHY10Q7gql97RSLaxKlYOnvu46faoF3AYPYIJXmd7dgK9sgo+9BD6Cio9iwxduj3j72RXvfeWG67s33F7egNsjsL1Are8AeAvAl1DxJQBfQVOVHtH8k7gt9x0RA5AB0oWWF0pXRUnDN7CS5EHJGhPh73bEQGlAEz30o6EbgGDnKySVsJ+R/lzK2NdopzqESYWU2vtQ39mdcubW48Q+PO5nZz77NZxb9oqi9WtUHMnKaWfaTfRT/qVbDJt/jMbF2R9TKIILJAGloRTFdFaWAjBl8buwxGDV67P0c+OvPfpz7EHI15/pSzdtZ0sMYzbFDQUJgIh94UqKUhWx4hgjRLf8UjQ4ux7z60gbEDfoJ+P+PB0pxC05xtb2wjpHYGLn7z2fJX+01VmuwkYZeZ49dSlAk0SAanm9H5PBuztjVZj0OksddYi/oBttSx+WQqzgYHU0Xs37P91BWdIuF2g3OfFPUkiiz/+1wAbgaCF2+MnMai5OwUq3zWBI6+UOMGXgtJwzlWmhLC1NaPFLt+CXxOdbKAzAAwuVfKkNglRlysBpF6LE72usV1OlSm/7h1lP17NOjeJcB1PbfK3Aywq8exN8GQ/4Iiq+iA1fvAm++OIRX3zvLXz+3S/gC29/AV95+wvAO28BH34bKO8Az98FLi+A8oib3MZjveGC6kDHQAg0y2Jp0JTN25jhQGmDmd604eGPnXOXU98Aa4PJDWdpDU17pW7PhRZmXw6xQJUlFh8SQDo0v2X5eRuaU7MaQVBUj5Z5GcpBFYbqz5jOtJNPaUvFgxBCmGFoD5gYqNomewVFBTCBVBafgRHFZ2CUwhKN9O0KmoApXtCR31JUkNIw5dU0jtdOUeI6V4oGTK1d8mChp3M0npI+mXt5+O75eI8tvqfzYUEcWkDGJZnDN0/RgLd3dol5foT38G+gI4VLkn/l7H0SlLJ83L4N6RtUn1oD4BQmrTsa1rboDtMH6LMUB6aEKUmbhR3oBOgZBafbLOIYnPb8ll7ZwTv7Au5AWYrmttTsFue+r6gcsbO2U4B0PQvXE3kk2UYszKA01oXi6XxUsSp0brGLGFhdmwP4ywq8gOAdAF9BxZfwiM8/vo1fffk5fOa9z+CX3vlFvPjKX8fjV/4G8KG3gdLHGHiuZFBQccGGZ6h4jornaFX+GYAHCB7GskGMrl96nIY17RLidF1ByaApgtI8rpKBkm92fXidVqy/1SEFQq8tBEuW16e7G7CAoJUj9+EXcTwXv1ya7XpnWXv/L4C9DITycpOkwd18WlTpMtlJlpe/qs/ys5P33AbGQoyFHkDJxUcwYnjqBT2BkQ4dkDl4X0IBb3QRPEtYhvgMiFhd2pADkmAGpCxNTXFUfO1lW++BhyRGgBjGuCevFs5Bhu+0D/OzPAOTotI2zi3TjzIta//sOL6GPGeuNAMoe6gtT7E0HsnbnQtDlD4V/Seeqj0LAmAMN9CBafTp9PBNHzG/5uk+Pkv9gmqv3dOXbhkEJXH7JjdMILRSk06Z3c4A08pf6YwJbk9Zil+2semtn/9QdgIkTVCDnq5QA8ufgVIap+BD+x9hXmr8mAUXiXE1iesYIl3z6W3trb7EFS/xEu/hPbyNt/AlfP72m/ja62fw7Pr/Yrv+PK7Xv4bPXn8d1+s7bcTL7QFt1Mo3UPAM/3977xuy23Ldh/3Wft5z3nslXSl23USu6jiuYxrjKJXsoBqM/aWNaTH0QyHg/rHjQGW13JaWln4otNSiBZXSQCu4Rk6huAWRQmlC1IC+GlOaD8aV0hZTfUkUoT+xaunee67uufec8z57+mFmzfzWmjWz9/Oe875XxHsO+zwza9bMnlkze9bvXbP27BMe4grXOJVL8BALHkLwoF4KnoAHEAeiGpg6l/QZFlCtpayCpB4c2UWyxc2veHrTXHZZZb4CmPRU4zIX+K+vejbTIm37TQfXgxrW005JblqYHJBSReZpmzwMlMp9NR4tjEaOXguMguxcY4lv9Ot5wsvcz2499IJdXd7IiuQAU/ThP4NKIxB1crykjQRloRp0Zuq35NIGHKEHTyLUNekBkhCfj0uO6/xYREwzKmDqJoiFAkwfASmv+iWg93H7JIPivB6ooFP5P5/9VgUxubvv0Z54D5p8O3pApHwMjOB4KI+AerUupcDapHxlrtdhStzDVKZtW7/aTvHeh/75wz0dHQDoIKdyAE9z4oZ1rmaQEwGmEW8HosbgqIIiznO/Q8A0ceieAqWNLThzBABZqhgk1fUMDcAILIgxlh/AgKawzOzyIAnAkgrY0XwBTknyryQsqQGkE11XQCmn+SnzS8IiK06yZr5lhSw3gDzFujzG+fwWbvAGnuB1fAB/hPef/z9cpW/ggXwNL199DT94/S384UvfwaOXnuCda+Dp1QOcl2uccV0tSguusdTfDJgED4EKmvyvgib+PUMBEwOkDJzywjYHSnSmEpySD37nNCngSpqiYB7Wf+qztGRkLazIVCfvBEcXA6OoXHDV/DU3TbGAWpbUyLFrWdxgYpCzxZMK3wwweTAUdbFpAB7RLcExKHJ51YrkAVNAN8DKgyUHmsw2nHZoHXR4AyxFAInG2ViNzPYbwOCpi1ewlNNNfNL0qlgrEp/gbcdmH0jaG5/9P9qW847fbalnYfn7gUrO4lstbuuUjS8df07vBEoEwJtFqq5cVM7Ow5b223IoQCm19ULfpKsP2d2He/JZAnTVkVQmqXmwWjyyChm6B0TKG4EopkXgiPkiwERlR4dNXmpRCt94C0CTnFt7h75IGk+91afmB4BHmI62XHZgSVxeQgVKagHi31OxJOU4cMXXAlwl4LTk7zcpSFrkjEWeYVlu8nV6BlnfRVrfxrq+jvX8bdzgW3iIb+IB/hEern+Eh/IdfPDBd/HDL7+B73zgLbz+ylO88UrC6+8D3rh6hjcXQT444AZP8QxnPMOKBwCeIFWQ9BCCbIFCoWX3cgZR5/K7EljirTYFShYsNaBkjwVg4AST1l9eVv2SGtDI3MIf00WCNSjo3HlB4Gj0qn8IimaYwF1+56lalqSXVV0g/YqODXrA50HQrK4hcHL1cF3ZmVjnAvdEAQ3FQ0HPAJCnOyBkgFFEc9twAA1kAUVAUVTaSV2/3To+tS7BgSJpTRiBp4oghMTS8oQXxATIWiS85Cel9drCARt6kGSfznlculgfb88+AyNrWWJaaysfXglqvd3SG/+/pwfb8RhEbQElbmUAhsxdOE3nMtV1Tlqj2J9JfZtxP+HufZbSkiefX0kUDI3iCm4iwLS6OjwQimgROFK+LRC0h2cnUIosS3XrjRy4tW9LkUEFOjIGSd6qZC1CAS24TqN4IlCEBpwUGNVfyZOKgdKDcl2J8qxYljOWdANJzyDLk3ydnkDWd4DT95DSm1jXb+P87Os44R/ghH+IK3wdD0/fwfsfvI0fun6Kpy+f8c77V3zvAwnffT/w7WvgWxD8I6z4o3SDN5HwGCvexYpnuMENbnDGU6x4COAaghssuIHgWfnV64weHGk8ES25SxeLFreLGoOmfsFrH1Cg56fm+cVDl9ei/PT8JZ3jqkCibbgLwNGu7bcLQNFmfgTkFBOMwmi13FhFq5IM+CIwNMwrdSRH63GD24IbCnkvMHIWI13w4PL8AVtIaOctMW2Adg36EwJQMupoDJ68tUlB0MyilCitIhqAJ1Wmsua1KkkDTP6p4max+o+ePo1Hqj3iERcfgafI8Tt3X0jFqeBXV0PUIh/HsKXznnK8gZ+Wx0Cpv78vF610LR2dxVTK1rfl/P3L/2Xdu69w95allfClLn7GepQCYCQDq5JsWpVCvyUuswZ8BFCmlqYRzyVAydHq1huV1/1Yb/0R6UFPZFUy1iOxdZwGoCkCSSekWqZZlMQCJKD6GikYymApWcuSJFwtCUs647TcQNINZHkGpCfA8i5wegdYHwOnt4H0CJJex/Lg2zidv4nTs2/iCt/AA3wT1x94Ix9C+TKQXsrfj3t8BfzgCfgABNfIXkgPkfAyEt6qgOmcz/BOwA0y1CmzMj/Y0kDQgoQF1lk7BkfxBbS1u4+3BcPSzmiPPVmSki6lVAdZHKpfg6TgL+1UfaGw9EBkCo5GwGgL+Mz07ghoGYXq7kHGlyofbUcTVxQdEOIQOWq/KMBUG1L3S7cA0yiPkEYFRQmEPtBbl0ZgiXloGy4cFE7KGBCxhWgJ0hFgio4ZqF2VKoIUgKcqFgZPyPesKlb4qBK34USDXf+sEYrXsZrHI6fuOB0DJf4/EX0tLWuj0B4QIY4equyPz/n2AKXRoZTi6sjzsNt6o0/q1DwRqlfHxflsCvJ8Mc/U3YZ7AEvlV8FQCJh6sGPBk+VHxMv5TBuBI8q/2IrkefwWXQCQeHvNbMetqEcAIDm9U+ZC6Fhd4hLRMUmjWYZqWjxIar/eonRC8z/ieLUmLcDVClyJFD+kFcuy4oRiSVpusOAZkJ4CeJLB0ukxkB4Dp+8B6S0gvQngdWD5I8jyXSw3jyB4F8v1Da5+EJAfBJZXALkG1gW4TguW84LzVbYVnXHCggUvYcH7ccLbOOEdLHgHJzzBUs/zPmPFihtkmFSX0CL/Bp5Q45ElCS6eg437v638r4dQZ5f2y2v7ypSvXQHT3//rr+Hv/9Zvts+dRDpZd2RGYGaky2cWpgh4bWGAQd1avzp561oSLosba+XWIZJcR5TPgCkESvorvTiMgnZny7ROr4FAvBWJaBUwOZoubB5ISbI8HYjygInqThpXdt/JHWlzazGgB9y9KF27KG6+iD4ONV4V9dLW0PYXA1o/KM6ANk345nGb9vYd/xRH/NoVzlNaDJjiu/ucy1s/810Sx7cEeT1o4jWuTztg1K2YbmuuPicwPJuLwHOGuwdLetpqmYWR79FewGRAkOdlQMQ0D6Jcfmcp8mX1N3DsruUnTt0eICkPHwWg/awWoTIfjEO2AiICRkMgFaS9RckAozQASrAWpAqWEgGkwvMABSxBLUwJp2WF4AayPgPkGbA8hYBAEt4F0rtAejsDpfUtYHkEnN4EljcAvA5cP4LIU+AKOL3vIdIPXGP5J55BXgHwULDghOubBe97tuCV04J3lgVPy/evrrHgfTjhe1gMYHoXJzzFgqdIeIYVZznjDLYL6bLZgyN6ZOvC4FUchvEIFPlfm99KRWCJTm1RTY0FIsCP/9uv4sd//VXcvP4WvvAjHzLnLHlLUQRa/DEDUbmOf2c9wzpZR2v5ovQqlhiFPetkwJN8XCw9ubjWEwGlIVbwjdi0Ihm0gCqIEDB5EKTgagscJSrvAFNVlLpolx56AewBTLUJlM/bb5rmpvl8tjiZt+BKumI5MU3Ur9wvUjtBTzWPTcvrlXAUt+nIesQ54niivDhu/yxK5cHjgyt9G/r/e57tnsV8HhzZPlln7ibR2VacgirOY2DE+VoXSag+R2yPu7tw9z5LZ3rGPEjSB4OAkIk7WuSL1IGnEh9akJhvnfB5MDVz8GZfo8lbb2xh6oBSautDB4qUToDJn3cUWZFOnAeyKMkIHCWK60lCzqIEC5QyWEr5xXvR9IrTsgLrDRQk5dO0322/6d2SfoyEtwG8BayPkK1K+ZLlTeD0NuTBU8hLCfjAFfAD18CfOOUPyD3IPXtwI7h+tuD9J8EHr054tixIsuBKTvUduJdwwttYcC0L3sGCd5E/hJLP+F7LB1HOBI3K/IV6mrTP53oV1xY+u7XG1BaH4Yx/CQSJQEhxdvnVFA+otUFkQV23ym+1zlSAkoxiG1qYRvqcrz1bbxN8YOqMABrl1+WwDVALe9dKCUCSjw94qoKVgMa/YT4phYFAkvFHU4GU8Z+eveTAkbEueRA1AksMmIKtOwVMCmDgis78lSLrksF44uaTGIBkxSVWbGcaeLUwqWhEsJY1b3yCd077uI4ZzwM/4WQQt5yWy49wH7dpFUNuN3+AlwETw6XVtXLUrijOAMfnxTX1eeK42hxi/yRA2lu9RjqAflS01S3IrgasEbVuAbf7rsK9bMMJkJ8zfngCy9FoW203nUHWwMIUbqN5vghMzQCTO6U7AljVkkRKxesbv11WLUflVxBbmKYgqeSZrbbk3mZD6qxHnTWJf3WrTctJyvFlxWnN225Yb5APiXwKrE8BeRdYFDC9i/zJ3HcAPAZCsPQIuPoe8PBd4KWb/JXdD14BH3oIfOAEvJRyp9ICnAUPbhY8PAvetyx4IgtuJH+25FSuK/rVk5P0egrBM6BuzZ1xrptuQH5kG1DyEKg91BYC+bh9+Fv6HP42axPTIuuSLpha91IWFWQlo2BpYf2cnPKJSKlDAAAgAElEQVRJgUJCUTY0QT2I4cvzz+oa1FmfXeZXy5LeIwqePuBLE55LAFONSw+U+LLl1SJQMjo/JP2ywVo7nup2i6XHwCjIM1tqEaIdoVxdKUp7qyOlKjKggW0Swuy7cAyAIosRW59CK5K4+SK2yd7pW1qTFwgZr3qrkh2jFrehQQmb1/NFkMIDo6junq+lWbWBWqLQSbp1oG+dv2/PNwNKPi+n+zwGLd7eJZXep0dbcQSswvLKc/fhfnyW9JlTwOSBzosATBQfOn/vtCZdDJjctlsHlKh9+svbOeZVf/RAqG7Jict3IMlYjYif314z1iRHmwIk/1usSSckLMuKZT1jwTmfkaRAaX1arEpPAbwLrMWZG+9ArUqQx4C8DaTvAae38i++l2kP3gGunwIvrxkgvfIA+IDk9MPSiVWAGwGeCU4PBA+WBS+J4P3LUhbGBe3zOkv5146UfIAFTyB4igXPIHiGsjVXAJOWk1Kuh0oxDQG90c6DtCpH+9vHl44XWIvjd1EDxcnVnOC9BXi2aFvgh/T/bgfvCYCqf1SUtgvgdx9q33bRXFBAY9I+HgAmD46UJ7myXqd3Kuii7TgGTEFe3Y7zQlxt2gxAIGxDb9/1bEqJpBECFwdiRhamGUAagaK15DtQVK8CmITzyhyT8rZotTDp3ENOt3GLgcw8ntPi8sRRfTkPoNaAz+fnJ52dvldTn0371q0bPdxqrc2J+hv933hn6Ra3wEmoxLj8fYTvf5+lPYApiEeAaNPCdFvA5I4EAJUx220OKIUnam+BI08L4qcgHgEmtjKFvkmwAEnB0QnAaUm4WvNbYwYk4akFSuvTYlHy22/FsiSPIfI4fwg3vQOkx4C8k0HVg6fA9Rl4GcD7TsD7HwLvv8pg6QHaonqWDFhvBFdXgusk5Y239k5bBk1Z0mopOjkr0xOoBSnRttyC/Inf9sFdrSO2N+ke+xLQmC9PGGspGlmZZsCpxRtgKs+aWpNKHAuagYB1cqSnd9CmoGhUZlZfxLe0+upFiq51Nv8kR/ZvFnf5VNbnm7hsgCaxdI8PWjle4CNh8PaaS08tSSwsRhfRIK2wVioPmE6Ojpwn63YnZwBpcfmV5vhHjtxh2uZJUFagz4LU9VeBURtTfmvOp3kS9RNPXJ5PK1drVmw9ivJWl6dQaK2tBPwBlnELt4AS0P4Ii/JsSW+/kkHcUmZpofL2GRGKN34F9VGv7ibcvc/SWiafeyaHYOhSwBTwzLbhTP5zACZ20DbHADBAYqCU2vKmv9Uq5AFS+Q0duANaZ0kK4s2alAJrklQrk/FNggVMGSjptVaLUhbGswaSkAFSqoDpCXQLThgsyWNgfQzgMeSqWJvkCZAK4Lo+5+22lwV435J/X07AdWpgCU3Op1XwYM1nc+upSMXeVa/sgdQAk9qM1NDL43ODhBX61Sbt5w30gW5gyYMoCeO8FFrQxMDJv+nW/p60wGq0nLLSk24bTgLltNfCFNIjfe+umZP39BgBzVd9z/WqJhP3OwqUHwIm4hmBIohLu/zRSd45rT4y6qbbC6mjGeExyt2yJElAZ4U62n6LAJPKZbX1JaAeDFg7zPNKXNUyBkwKembbbIGFKTlQBClNXXpeWVEPq9RbUecIeoCOFKBJI8yHOoIdH6XFcfW8cdyuEMDa1aF0fQTVk2kN+ez/sxZj0uIeAsV5Gs8Prs2PLErlAa85Ou81xQ94BJyi3txNuBfLUhUfT2D6nVqbLgVME5A024bbBEwjaxKBp7rlVurVIyC6LbcBCIoA014L0wgw+QMkefut23pL7cwku+2WKliqliTkN92wnIH1GfLp18WZOylAKnH/9ptalZICpAKS5ClwusnCPKV8uPZLAry8AC8t2cJ0nYCHqTQuFcUp1Un+lAQPkuCc8nlKL8EeNdkOAGj74EIPoVJPyEdV5jIKms6oH34mqJVrX6i0tT41IKTnIvGHd731KN6SiwHSYumi9yB1Xh4+fv3+uaxJM/oAEFUdPCg3q5OBUjWajVb6wZoZ6b49gOlWoEls13Mev6XlVVYkBAeOpm/IJUcfWJJMPRE4igbtZJuJdcAq7tfTKR0BptpMcSKZpLk+n79SXNu/ZMC0VFobBx6fpINIeaCxtJOsn4gyyLvEsrQOy7W0drtBpFT+7wGTbddWD0bWpZltSbr/43wJ0p5fJvlcfgZW7yZ8X5yzZJ7pSwGTi2s9EUhi3ggQ7QVMbFliK5LWr7+6NJVntaYrzYEf79C9BzB1b7gFIMkDpAgwVeuRAUzkl4RsTVKQJLhBtrIUi1J6VkCTWpYYNHmwVK70BJDyuzwF0k0RHnIjrpdsSXpJgJcAXIsFS4xCk1rLpH4S92FpZfu4SbMu9S/85wdOIY6+Dag9PSPR23IWIC0VEPEWnAImPpvX+yrx0qcAqlmbvvE3fwf/4Lf+Nl7//f8XT7/zBv7Sl/5X/ImPfRTe+tTqzw8SW5d4G451ZbgzE+njQL/OdOyut962QJW/fHkf3OrvgRDgaBLQ6HaeZwSKOJ1cvt+Ws2VVzbFwZj5J2vkIHDGdBbllYdoLmLj1QFtkgdiSJK6KIN0ZxC4oEwEoIxKXD2nzQ/34RC1LYnoG9FtvnIcwHqdZ5Y954zy/Mvg6NT9RvtqWAPMaAZXc02p7L5vnQZTthwculj+yKLWe2hpkks/lZ3K8m3CvDt4VMG1YlOB+L3bujqxGzDsBRKP8CobcdpsBTKV/dUIXBT6yHE233ka/oG22gGZBUrKHSibBSaRtwaXYkmS33JC33CpQ0q0otSbl04oaaMogSdanECgIUrBEv3iCfMbSE2SAld9Hy3/+IZ9DoNakl8qln3G7Qj7sqVlvjVq4Kq3UT+Lqx02egS1MCityyUQPqbcbSV2amoVJgZCVi4KkWdpbltokslakFee3H+OHfu4v4J/+y/8ifv+T/2Vp8Vo0MZ3ejQUirWy1LklC/ZCu6tQ1VYXSucqkgd71ep2By+Da3HqblJ2Wj9bFnbQORMkGsBJLi0CTP+yyKS3W+f7180xrwG8k2L3oNTIXThzKLt53BQxoSkteGIcARyZ5RIusQrO06bL0xwlEgAklXZJpAZYUHxuQm9XibWyi+FbawocXYVlau7TNW+sD0mBU29rf01JNj61L7f/GEwMj5pdJmtcx7rHmj4CTved9hPf2nKUREBqBpwgwMZ8HSR4wBfQRYKrXuc/jshUkoVuqGhjiuDwHUEowztuLTPyTUmRVSgUw2a23zlcpJZxE3yNToJS9fsAWJaglyceLU3cioFQtTPp2nOaXtDwDlnNu+BXyGUovnaxV6SGyr9KD1ExkdREHJKk9x1qYHsBamuzncC1oKjXBPrRtAp+RN+US9FRv9YZSSxL/epB0Jvo2WPozv/IvATjh8Ve/Xe8vBQz5rbjcXmt5aCAvy0nYu5V1YaSPR/o7yrslKNplZYrKtuGwQ+aypnSmSU/npnAdhu7KG6DEl/TdyypN0D5dozcaCWh1dL/abAGe5wFM3KNsIQV9BT62KgWdvs3J3xUcAR2AigCXT/P4FQdvrXspeakw2XFtg54onVye5537KPl0nMerj7flMCSx+a2tPAf9O3b7WgC0NcbmymYqkoWEaVuGefya1gZVXPm+HXcX3rNzloaAieMDK1J9ePR3D0hKmIKeoVP32eZVSxK1q15oSxeDIcEEKKFdns9st3k6LO3kaPaASdp+QzuBOz4qINVtNwVJWckrSCpASW4K2HlG11N7qbN33ZbTz5yUa30KyNNc51L8lBQoXReg9PKawVIFSmj+Sic0/aEyr/2R+pud1BtoUstS82FCBUxtMdTF0f6iTmGFWT3gsf5IS5c/B0uLo7e/NcXRO+sSVpyfvIP1ybn0fMHNo++VsinWswOwc4neRYrr7XT7CFSNyg52nWoZHSr+pcCAhvOTZ1S6xHmsu0O6u4fvItfNl2i+5P+8vWEsvMiS5Pl30HftsWr7iJYW1DfjqkDlxQKkyOpUuy+2K36bjsuWxUFE66T7CfIfWIW0JFTLUu6WPvtugHek56Cpz+Pu+CMlG72lPWiiR4OuVNqfqATX2+ZT3Fq2HkXpqL8MssTljtMxj89n4MSSGT3RLza8Zz5LDHKm4GkAmLacvDv+Dfoep+4KmGg9Cd9yE4oDxmI0OhbAOH27qwNKBI4UHPTnKIl9880BJLPlVviaEzcDpQgkFXAEfzkrk/oteSBl+Mop36dzPunyAbKv0vUV8NK5xFHAUrLOVYwy3fqpYEmBEgOmG+SjAh7CwxYGTvxrwdJalyFG7G3bLd+ZrUjboMnGFxNvC5T6I61ZYWGFtSYt+IPP/DX835/+r9EFQbYsiVhwtGoerAAv1LthXmTFGpUbWZi4niIO1d2qC7mPm6HwGJDj8jsQRMHrd0OHIEnqyo+wQb7dCLw4hDgS7AvZapsBpq4H+RqCHk+PaAMeD5Bm+VtWJQZUCpJqHJDSBtG1t0yMVEalxVu6jXUMLSLerS03buKorAdGMWjKFIU+TXTtwUkEYtjiZNeQqBWjNAMjXqcY5GynM2UEhLjn3NMWv6/w/eGzNANGI/oIMI1AkueJwNGABqJVgJTs0qW/3pK0BZSmb8Alu60WWZrCbbikwMkeCWC23CieAZaCJGtRMltucoOUCOQUujBQEgZIbHGidC1bQNhyBk5rBkMPBXhYAJJeD5MFS2pZIqCkgcdBN8MyaLKASTcVH6AHSz1oYgWn9p0GmFJnWfL+SanmjcDSP/z87+D3P/XXaz9+4YufwZ/8+Y+B/+pr9ehf9tayBKz48//Jf4Cf/A//XSj0ffbm2/hbf/rHIZKsg7fXuwNjxS7AFIEivUblBv5IYb0r1E2r1ckDHoVCZ5U/y+94gvy0I79aJ4f5Tfe3qkYCmgGm5xikEEiNABP3ogyEEGJVqVxsQcLlAKlz5u55UgSS9McBJqxSu6KHVS40xMaazINaB242ES9Ji4nNQZJNK3/tEv0mKsNK2AIlDovJy/nef8mnbT/E1Kr1aRmf3rIwsbtB4/Fbc/cV3jufJQ+ECDRNwdMlIClRfAak9PJnJSUb9yBJHzIFRALs9lHSsltAyX/LTUHWSYJfxG+78dEB/iRuLSMpYRH2TQqsSsZXiUEUA6PI4kSXaLlzid8Ay1q+n5KyZUkB00PJQKluv6XWeP7KMOkGrx5OIId2CMkgg6fWWwtfrHUp1YVTsJDPUyr/1vJXWwNHrTQDpERxe5eP/Ct/ET/0z/+50uorvO8jf8rw53tr3X4BSjV+un6Aq+uXW4+TtjsZPWyO3SFdevH22wAUhTrc6+tIx/t2eNywtGdQ18nhckkZW6CJeSJQFPEwBvAhyvdl9Wyl3E0WkAovAEydYC+xMkUTgK8ChLwklDednI4PpDoSkE/Xbvl89CBpVIbTzB8BJqNbpYlhBfQg13qsQDej+u/D+XQc359uze3Bh4cmDJpavJXl+ZZ/29le/edRfEuWIN+DqC2L0t6tOGtNimgNKDFw0nosiLrrcL8+SyU9BEKOvgswzeIjwBTEQ+sS3RcEkqolKQJKSnP5uw6anPyeOA0LirylabT1xtalapwRPduat93OQLpBBTMdWNItuQlAqnk3/bWU++h3Ypa1AaEHUkASikUp9UBJ/ZWqea6tnw0wtQMm67Yk2rbcTYl7sNSDJoU07eEVtNOR1N3bAyFvVWLgZH0FMu3hK9e4fuX91MITLBgC1RH9hdbAU7U+1XsVuZRtOKNzX7QBw+nxTidHZb1+dvlqzKi6XwGTgqYqnUEQy7MFmphvCxRV/kjnB+V9N/OcHQnQdXyIXmeDMULBowGCoyG+p6ANgi7uCdj1zTjvgzTi4fyVyoxAU3lDLgnVARKF1qE05IWyRb3C7U/1xiCt8eTSPt+na9OCfO1Gn94GTVUE4BUnFRFyr9Zazrbs9v5KlqbcEQjS/AgIsdWcy9gF6z79lt5Tn6U9h1HeCiRxfN1BDwBTt+WW2rB5y5Ggtx4pbfj2G+K8yD8pAkzdydxIzYKUYI8IgH8jjrfgVGFbS1IyVqXiV5T01CECQ973iEGRt0SJ5tEJnpJyQ6pFCQUwgaxKabdlKQGMBwqLGMucOn3fUPxMUvB2HwZNVhGhTtJkuPw2G1uYvLXJlmuWpAVPv/sm3v7ad/DON18HALz1la9CsODlD/9JvO/DH658DKKsudu/DQcrmBUOMCUjy/717UAXb+n1qFy04zPJ9/pcANYiLZCeDoMYVg8ROp4o3AYUzfLNgv/cTmIkvBBMReBoQDN1RAOmUlTFpYu7DDobCcbR2CI0onWgqaQdYPI0q7spDUDUw7v0lLfXdIzsnJpblmSY1/JbE8f5HppcCpRa+/0jyT6XfluNQ29Raul91iVbRigdbcVFNC4jrh7t2cZD+4LCvYKlCpgICPHvxYBJy4zAUKJ4AJL4EuLl9aAOlxRdIqSngzjTRscB6Ftbm1tvk7Tdhgs+YZIYOPVvxOUjARKkfqvFW5PIp6jbjgvyFCjxdltkWdJ76cRYJDfw4dLA0UOxW28GKKXWEUG1LGno1Ym1MOl2HPsynYl+Bbb35HwLlvJd2iLUIJVuxbVjL+uKP4h7i5RVSt/4wv+Bv/tX/1rt2//+y/8pAOAv/Oefwsd+41XwggR3P7VINctSaoAGaDqwAqZkdZ9oGYmEOnXIDnV7tL12Sb7DB8I6HlRGk1vrp8vf0uP+Vpvr86x+MeIqv9S5Wccjwc3Md91ADWhdPTwgvgdaPeVFwgoFOUgT5uppAU8EmpopBRGI6tJo9eVt4ab6c6/aE7m4QU0ujS49duxeJ2Wj/Ezr81s8p1aT39OyyK1dabx+aAtmFiYGWh4EaQu5L7fZiustTLYenQR3H+7n23DuedsFihzfECRxfCdgwtrTqn9SeXB0LdB1XAALiNCDo0sAE1uWLtmCi7bdom04cySAq2PBSiBpRd16C8FRsBWnQKgDSpouwMvXqUBJ1ibQ0wJcLcWalPojAvRMJQVJ/PVfY1lK4OfJL1CLucQAJ92eO8P6NDXAFFmb2leN+EOW6lMksHap2ILk37fjxWrFn/21v4Q/+2v/MrWIvc0icNQWvvYXWlvW666EByllLdr1JjnTt/T6xvbaNN/lJW4LUN9c9yqHQ9piuEV+Bx287vfXJB/CQElvxgLaK1xfxpvmBsLuQFOEQCne5ZX5ltYmp7oNx533QoiE4mgKeKK0B0AeBHEaAiNelxYPmlQ1C4GmRGUKc4JN4wWkG9ARkxMBJaCNBFuXUqUwdmzpJk7ugQpV6/PWpsXxjCxM4vJj14CW5oGJfZKE4n09tODfQ7gfn6UyLmYLLjmA0/TK+NBJzbsUMDmeenZSodU2JqtzjW8SLBCqdAUgRIt8l2bHBlzio2T8lfxvatakRRpIuiIeSXqqMzlxJ3W2buBGgq04iQCUbq2ZbTZKrw40STl4UhHjlQBXJ+DBarfe8omSzaJ0lazZjNHP4JnxQKnFxcnPbVmWR51BE8MT+5J/BkvNb6lZlfp36jxA4m24vlZ23G4gy5u3rcLraAVV5LfhFGkg/LTJTEffZidoCKhm+Q4DVJ+l4H51yBUv+LhWFehm+F8Z0Cd1bOr/zXyp+jvVVFMKlwmX6WnCPwNIqeVLcrxcD+h3bcLzwu067oUgFvwobZZWJGNo0pCEBDxRGtJ22yTfR1KbPv4PrcbYutcvOrdP52aJy7WbYGnAnxx/7SK8z1UToa5bKcwFLAhCpXmQpPftyzTh+nSjRuCJt+KshSkCU22k7j7cy4d0NRhQNLMiuTSDnxmY2n1MgK4F3pLkLgY8Ji0DwAR0ViTBABRhDJT4vCXzvbeE7JCd7DbcqRysFh1A2fygE5baafu2W2LHbgJGITgKL66v/Mo5g7DlTIDpDCxrvhTZPVjyLOTTudmyNHPsNpaldmkUfjzNJSbNb8pl1+rmYq3gaYWFNHp8AC81FihFViWvLtvyFefp1W/TWZ4IVPExm3TEnnmdurDSX+kX7wSVOjaPDAiMITU/yvNbc6Srq54m2RugNFo/hfij30F+VMcweEzAl/R4ohYSrdwqjRQISELhjQbECb8bjNGWGzC0NBHwzqEsrJVFbIe9AEa0CoKkTxvwE9ECnjKvE6dV3L4MkP2XVGJ1PHyQNt/geMIy87QHRZqfDEeb7jkuFKc21XJj65LytCsVGv8xBrQ5oneAyfeWoojW8+z1WRoBJc/DD/3dhvvzWQL2g6IgzUAoBEkc9yBJ70cgzViTgH7LTeMMgmDBkQKh6bYbYC1KDIY8jfJG/kreb6nbfksMpFIp752H1aKkW2MEerq34EaWpDN6q5Jus50bXdMcX9a2m3QleQvuwdIfEcA+SuY1P5DA3aBBfxP4bw6nRipg8sBSQdOKHjStToqaPqG9Ao56v7Z0xVtte9I9QOr5GzCKeLp26F8sxafjNsBoeFbSqMyFlqQZqFIe9Vsyq/+WjtqbN+CZ6Xh/je7hy+pMaawKcvYMyh7hzUDTCDBFdG49HE1QzX+hgCJBiQNDAZ+CGeaL3oqL/JFGaUx4eAhUhZclxw9ocmmff0k6BbTWXM9j15kU8NMIBenGa1eKVHgIOdbAx5No2luYvCM3MAZKbVXueS4BSjx57j7cj88S0PqzBxTpuGg6yuNyE8AEyueHsL71CgeQBM2RG2iWJQUuFFf+ke+StyJ5EBVuvSGgpRgo+fOTvGUpt0v9k1akdIbI6kBSb1Wy1iIHpjpeBUcKlAg0gcCTFJDGliU9KuDB4t54kwaU6pd+k/VZUrTKl4MrHBN63PSXrUpnk27+Swya3JSqV1vQeJGZgZc9aV1cfL5dfKIyzMeWJQOYqtzyxKxvBBlFNQc3mzr9lpakDnh5UKZhBb+4ZKReQwBYuiC27Eivj8IlW3C+jdmSxY30QmIwHAkwGpgt0OTAUESv9SPgRZCngAl5Ib719+IKjfUgg6Y6Pz3YKTyzNIhWxS5ujhRFXxDSAphPoOQe28MrLwdJlpYCntGWW+PPa9pqaGNrUpxuq8dqas6gqUEaDQpcWrzdlWkRcOLavNUpAk97gVLfyrsK3xfnLPn03m23DjBxvAAmoXpqfawrNO7AjoBAECzQERD44birY2RFYgdx45tE9VnLkAIlwVI+hMvWEHtkQP4VySdx58mmjtweAKkliS1K0YGUwTZbR3NxHYDEJ30mVOfsExooeiDWN6n6MScYq5LfgmOUy29uudDrcv+milbHH+JtHzBpliUGTYl6lWtZ6x1T+T+hLXsEVm4FnjZoyab/4LX/AX/wm/8j0vlcZOB9qIpkuuMCSCBU5eYW26DsliWpA1YbvMovdN865G2t79+Go3QvvVJ0Y70d6XZ/n1H9cVlFBFKwRi8w6QRJwgqFp9aggN9YriJ6BKQ8cEKbEMkNkgpy1uk9ACni8wBoVFdgNRIVdS1L9awlU0B+tZIBU5kTSx0rGnOP1NFe+mCa54nKcLo2qYQtXyWuI7kyUVrr0PtwWe/43b8hx+bc/g24nrbl7C1Dmv86AUKgpFf3JL7wcL/nLAFDi1JoYYryAjDV/amvZdiapM+4u6olSeOIARGDn5m1KfRdAjorUkgTBlEeKAELUnNGTnDHB7QyIglLSsWKpMDlBqIWoPo7Aj8KpHgLzVmb2JoUWZgqH2lanfdXQj5JUo4HEGtVqt9jSQFQUiHTYE2AEse1Ce3yvksWJFmLk/ddyn9/qdLTrbikE74DN8B+cIQdPGP6T736a/ipV/8tPHvrMX77Qz+GdvK3FF5pStMBke4h2ZE3BT2avwGIQktSwNtZtEhaHNj/yCwDwTzpQqCDfX5Ud5qUNyMrPGJusd91mJUXiheeF5gDQR2detNZlYChRUlYCsrnpFU774USCcnRIquS8o2sSGlEk8YPLSsU14gTUaHVP6LdBIpd85s9pN2Ag1B5S5ulWbJt3WE1a8v0ICnisfUpL6Au4D0g6i1Ms605D5S07xLwMM1L1AOsXkJ3Ge73nCUgtgxpOmG87Rbl+XgEmPSZpmebDRLVkpRI/3JaLHjasjaF224Yg6IYKNk8PpHbnNJdf1MFU1mx66vrDrhElqXIWlSBVLQlF2yxJW+1IutSHbyiTU9L+bSJkI+S7ABKRbD8BWEdDFaaToHCkaNrMb89ePLvqTHQOkEXH3tggC44+bet8hYM+SXzAkvSThovgT3okqFQbuvkbfS219/JlR+Ap9HLXIwBBKjGxCo+oV8lB3PBBObtpDbPTzvLx6NCShpN4T7fIPAARKCJ6YxSA1pnVVoGvNxzL4WB0LZAUwSQPPghq1GYTo4GKgeqC45Hh0SoXVo8WZdiEQ+I0JhLUHsJJjxpM93K8MqRXL4RA/FoOgJJ/g06gV+llHs17dq2MEVnKmnagylevPcCpf6bcXcd3lufJdWjmi4TfOr0zXkBYBLmTa3+UEFKAz0jHyVBDJ46axPQWY684/emZQljoNS/AedwA/JWzCL5oMlmVQqsSTWdt+AknZE4PQVZ/lpdfG3xegw6miD1Dbj6UVyhMw5S2XYTC5Qi65LWV5FvIsXj5mDw2+bB2JfJW50aeLLXiWrQNbq1xDtZR3l+CbTKZ48lSSe72Y4T/zac41e9C7lMJ/u8gSVoa3ttCIqI1lmRIr2vg0qKzaydg3XU6+stHl+PHxGef/0oYui7pGVZ6WmH62sKo+220ZbaFDQFtA4cof1GViWhdH29uPDWLbrUFn8vgEu25/bSOq0vjAB6IAXAgCZNJ5hy9fuKZXz7z6LoeMVptpdEPMnRZuneobvR/CqjPG0FAPH1NmwFTla07Y1fqb3RsJS7WevRnjOWYlB0KVDieexX/Rcfvi99lsItOcrzW20MnipddQL6tfYSS9LUwjSI79qKAzrL0snQZAiUrLUpmW03SQnV2iMe2OgxAfbKxwRcApB2AigpA8ECqNYj/YUDTL7IAqwAACAASURBVOgdu43AgBAkeQuTC6xDwzmBOUiK6XlbNE+1dgZTfoSTeXy9o3UIeAY80XKovx2vWJpdIj2/VKHcevstAjQRsLmkDg+c2AiSgnqpKyYMaKwkouBBTaXrJTavH0F7Hz7NppXvR1lKZ5JI7dZYmJeAI6Z7cJT6vM56FNGpR0rX59Eo1EBAe7fj9lqRIkDkaaC6AECk6ZSSVl3TeGkCLTo+GL4hV9Pd5MptUqjgyyRHi9OZlgIeT5un89xTUfgVR/kUAvkWMEfbitO23hdQUunzIN99uNejA2Y+SqHFKbIwOYBUgRFBYq8Yq14VB37QdO0ewDSyMIUHUFI8BEdBfndcAJXpTuoG2vZbyh1RoGQcukPrEvsjPQcYMr+rq3MtgiidPUkBQ0vZckt0fhJ6y5I6gtdOAz1o4oEsg1nC6PHxc6PNkd61VufO2MrkTzTKtbf3SNrqr8tasLQaPguM/PLVaZQhb2tRWw67QzLZKb5cF4EmZ+gY+SB3oChN6giMJz5tDCBK194nNCuREzZLaVd+4YnorNM7GvHPrEkRTtBmpYsHw+fNLEp78iYASeB4Qb+kFBPagHQf2JVtYVxC29p+i3gAGEsSiGbwnlQylrz8rLL1RlxEa+vFjOa37rw92vO0J9zyzPyXtmij+dqoPSjKYS9QYsAzAk+aL1TfaAW/+/B9dc5Sl44sTIF1Sdf9uv4nJ0ppAOY2IKnzUZrEvRP4bssSgi04KmOcuE3ZYlHi7bAKiNi6NPA92g2i1kF6dTRCtLK2jvDbb51lKRXgJHREAMUNcoRV8AsNNmT63IweM9bL/mJHzdF1qlCkPbjub2vMLUsclA70SxhM2tYRquoQLLXlFTCASXXfens9bQDNJfo8SA+BE9GNdal2yoIYBTyjoPo3pDNBAhrziU13IxXkWwzQapb6fyR0B3a6rbgNi9Isr/NTKi0WBPX4PG34CDBpEbFC6QWxTVvRQI04Wo0rXSwPHJ823PN42pLbofqAnqIa8kjM/ZQYCnA55uF0MnyeJ1oZ+pWirUD9CiNQNRq/IRefx9R6YgEPKL4FnPw5S3B1iaH3p35HErq7cPdgKVg1hm+6+XRkYSpl2Zo0801S8Y5AEscjYKT6OAJTFzt2B7w5vwGgBpjEHAvQgyzdeisG08TCOSMFgEjS2b4RN7Me1bfoSr2dT1IAjhKhWd1+U8ATbruhB0YeJFWTGzC0LOn6IalTSj44HTq5tkHSUpqfz11pcETcffi+Mb1Xr6O/7SKfJrscRhccWCrlJGV/jMDCtAmMWOdOrqEztwc8M+AUWaQiPh+ieUB8yecpXSzdS5x5olHq84NRi/BAbSPPwAsGZOTgNcsLLUqA9VPiepQGy19BU6m+KjvtXMIYMI0EQrRqLSryYb69IElsfYKeVjsgjlbOIati0W074SkoxcrP9pD4ibfWpN661IMiobjlSY5vno5XF56jSo99mJRHOT0ois6C2wOUPE0Certf9HHduw734uCtcjXfhttjYWLrkQNTHVBCsHzo+p/USjAHSZ5vaytuc/uN4+LAE8eJl110ulO7a5m85VYtShUoKQjSuAVRyTtv84fyJLISBRYoD5K6dBkg9lWqIAi03Sbum28SAyY2r5lBBHp0TA9MWdQjZRirG6uammUp+hW0Nw813axLVnfnCarLmqfHNOXtl7nc/kjFpqCMtVx1Dt7U0N2gZyvfgx7WyyOeGXAK4qr3k6/XhdFhklVqMqBzeotHgjKDOiKlM9qGs4IdCGR2FsP0EygjaxMBn9DaxHlAD6i08TpAQnwSdHokGOKt4Ed6vmjrbXagZbUqUX1sAh4BJxPEYM94S66VG4Mm++SrGLgc21SWgCdaFSzd87X0aJXxK0yj84lL2QbVeLi2FwGURtYklSTz6ByPnvQXG+73nKWEKSDyFiYE8foXZmrT2C8VCnx8WpXdru22gG+3g7eLh2/FYWQxaoYUf0p3fVM+FeEZUFR+jVXIWpAasBpss9U6BtYjBmYhUKIBqr5KaOCnnswtY5AUmuCitA4s6mCzAuRFRUOgT7v5468IKOkv5/EHAdq52f29/dtvLc+rWOZnmi5dPa1f6lJ338i6VE9eBp4bNF0ErEYCj7DABDTVOkE8vYA7KTMtAkUzHj+KI93veafO4YKihHj89wgushz5vAAghXQWfGRtCkATL8aejhQDHXhawLObFtBH1iYFU3A05asZnI9sgaX6UypjIzB/s43elGNbidZ/uXUpBk4tz8KTNODzK0WzCdmyjd8eTdnq9ieE7QFKi+v9iNZbk6yU2LIUPfQvPtzvOUu6Nk8AknHkdnGuQ0qdZlmgidtZlUra+C453t1HBWhcy1B85sc0iptdJqWhB0q5XaolPFBiwJO33Coo6vyRqIwBTx5s+by15zFASQeyCNJ8g0XId8nnoR0LcIoEAkoDBgl70EQhUoyROvH0JeTz4KjF2TCsQMl/Cbv5DvmQ5dUvi0wP1S5mFiYtO/JZEh0jXmf2Apod+ZVnYkWaAqIRFnA8yQ1klWOwdqaA7ueI6k6T9vlUTyR5wOpuztvU+WhKuB8Yb0obCWpmORrkh0BIyzAN2/Tk6WujbforjehE22NFivhAvEwD8fE9Vx4Dy6eGWUCXn/GRiRy883af7qGD5+MVwPPxiuH/cONyFvS01UT5/OozW3n4CWlAvwdK+/yTvASEylue1lr/Zc67CfcOlgxgYgtTculA/2pZ1YmRcgtBUiIeGQAmn6ZyXRwxgNp07AaKr5EHR2IA0QL7ZpwgBRalYuHRM5JggY+E22fOH4mtQwykQquRd+4OLE11YKR10AOkCpRksu0GhFtw3srU6QvJ653wQ9srRA6kZyPVU37tCb0eNNmlwD7SfB/+9S0Tk7bq2S5ZUX6kkvsy4XLIDQoBTyznEDiNwA7zeAGnAU9Ul8MK+u1WLIWFFWcTaiexSnO6zPMkqiPBS50kKyOJ93re0F15voQ7EAgvBULrfJymXvojQCWOhhYX7KN3rytyHH1nvZAuphE9siIJ8fk35JiPetVkj6p3PF/Gi5lvKVUvkmneSsSTrcIB4XSrK3r6mb4FkrgPifiYpjxMs/Sez1udOvzZ9XxmYbrUuTuqU+czza07DPfjs1TC1CdJf3k3ZwCUwrU7BaApBfHCH70dFwGmyPp0O5C0He93odrJ3D1QckCIrUDG2duDK6UxaCIAFAIpqmcGlIxikwaO6tYbLChiYGR+WRBuIMygo963f5sp2lPn3PZ4RXGvfry1aekuCR9jvh8MrVfN/ePulz5Pa3X47b2/99r/hP/rtc8jnVfXR7ovrTPVctMLYZfu3cUzM4w43TqyJJl6HLrg434iKXJGL/2Wn1y+ictoBFodveJxceKJdb73e4sE7MGOF/6WVYnrHIGjaBA8nflJEqn81mfUSSsB9oO7RgCxYEZWpE2ARLxG00sT7+j+kXUJtqx+Q85vvysk4BHRQh5M9XBAKK4iG9P8SmHTmW+PNYlXksa/588xpQhSaBNjoBRvxfWSmVmZrGUpWuNfdLjXt+GMz1LRr6NvwTFAqkAJvb5k0CNwOtXle1AUOX57IOTL7XXq1rbs2YrznzPJ9GJNQjG78bkJ3dabB0oeSEXWJQZNFIenBeCoyysDxMJgh+7Z1tsWQKqmHJ9PdDc5+sdmqD4DfCAubdWPB00tL/7Eo29FtOz2oIdpdlkSiqOLt6XuY6/+m/jYq38FTx69g8996KeofPBged0ZddDnj4R0QT2bPIwDBlarxHkq3zIlRmFmUapx8ZKNgZHG/WjxfaLRGulmE0SVgBNGKLzIQjQSegScInBECincdgPs9h3lC0ujog4CSb7zsi2cGZ2dvfV2kcO2B001jyaFTO5DtFTRBH2ot0qjf9JnW24tnctaQLRN8zac5Pj61aK3Os0cwP0qpDPF2TOQQvDigdKWNanFx1YmXmn1nncb3nufpYIF6i5OBJQwXkvZwBCBIAOYgNDitAmYXF4HkoDedwkpsCDlt6Yiy1K34ySAfrpCOouQgqMBaGLr0KZ1KYoPrEdsAvR0FUg9F0maI/cMKDFgWly8u2jwzEV0mm78y6H/alH73XNFTcvWpFQf8QTvtdTfrw/R0uZ7ERnmNc5Lod6r1clAyfwNrIrNb69p5kzvchroBZUCPq/7Wb9PLElepyeNF13OVuyZhEx+MGe6uHhlEcQDno5XJuVR+lRpXglEQhwNhM8bgKMKghzNlGFFVerQ+WLygPFbcyvVl6jzKQAl0gtwB3AJ6d7ipLQq3rjOaB6FT+1iB1R0EMVLpj5MBgZoemRx2oIWHjjxXPJ8LW9sYWJ6tOXGVibPn9M6J9rT08f2WZNierR119/prsJ747NEAEnTSGjnJykfBnoRDgApvdAu8VvadO52eSFIorwti5O3JrVzlsScuaRHA1hgEgEltTgF5yJ1QEqtR966NABVU9Ck9y10PYBSAQ87dEegyFuPtvIZtUb+SshvEUXKb/YYRQBmpPu3L+81YhfY6F5b7ep70+JS4x4GNFrs4G35zKZP1HnMdfEefX0xHxs6+EFP83xZneyS+TGZITiSCWja4DHgRwIa87l8O4pS9Xhr7gVC3LXlxgJVUDMCOwPQpM0agaqaDzRFoOyljOm4Sz+vf1JCb3FiXg6RxWlrS5C7t0h5Q47oIu1vO2kQQKXBthIx6Qam0oTWnmw4es+n5fu5um1hYr5k6murhwdOybQASCHYiXyRgAgk9fCSLUv9H6Z3Ed4znyVjqCjpyHm7XoIO8Aic3hTMrUhAZznSSToCUFHeCCR1RwRoHRx3ZVpcLVHltB5JEL/tBrUcMTgK3nDrwI/3bfKg5+x4J1alqHx3rpLEW28LNixLLBi6xMXF0XkCFMDEygzYD5hkkN7Q687KxHX0Mb7nuGV+KfS8vIx5Wl+nhHw2LVybPiz6oFElslNIFwOsyKq0h48MGO5PZqj+9WGvRWnG40FPpXk+6UdmrJPtyVjtZ48QI3AU5Y1MeTssS+LSml9llSjfdqNtxSXYT6CwEJyw9gAXr8VD/6SAzuUNeOIndUCrVs1WZ3tDTuoOapPW9mdNxiApl/e0rY+JMKDROpkWPS6enug+M/AkYHXut+7YGj5qvZdIA0m99FhSLK27De+Zz5Jal/zb5soXKSTn09tblCgdWZEECC1HWwCqiwOb1iNJgngrruGJCrpqXE/kLkBpp2VJQsATgaYLrEddPBFforQDSnoZnyXtNAYWpB1XNxGSpdcnR+qEi2FD4/JpCdJbV/83jr6nZD+G6uvv2+FVLIfR1pumk+MB0Xr1HB85oI3JE/KFWImwg8/p9+F23QhIkd5nXBeKS3pSoryQTnG/1dblUz2ez4zCSO9rA01bglkpg9O9pwIUTA+uGjlzA4gtS1ofLC20OBFvWnMbuxO9I8GMBHUJnWgVNO3g3boXf2SXxseIBMAi482klu4hQWRniYBT+xWXbnw9KLKAiK1OdrXogVPm78FTRMv0NpNbbOvtOJ5rM+tTt/jfaXhPfZb0o/QArdNwl6DfdfE0l47efot8kzjfW45mzt5DqxIYGAVHBFD9/ZadWpPK9DUO3Q34pABAxcBqYiUa8XRmvwFoUtSrc5Q71lmSkt2Sq2AK28CJ13umeZBEV3ubqH9IWcHVORfQ9l49UOKrneo9u988r1fJbUn0vWF6A0T1+UrtWWs62S9tQHMqbrzGkqTlmTbS03v1+Uy/T/JCAMWiCISqgCaka1x6ej8Sva73v3qvmCcF+YHCqmM1E2YkCAZAewbBgyrACrqkQ8sSl2EpMXAKlFtoWSKh7AUt4mnAfivSBm/hb+Nf2q7iDXixlPFqrJ0tZAWqjgEcoBJgy1dpy5oUOXpHNF1VXPMHQGk/eLJ1tTnfgsb7Xmo8Akm9PU7rmq2uLybcL1gqaX6LVEqeeXQFPdgBOovRlkVpN0CapGcgqcaB0AI124o7ufoFCkDcJ0wQbLuZ7TgGVuzD5K1Re6xHPq5T3luXSPOKtM5ND5uk3wqQimC2LE07lbB/XkaQgsPWI7b3tnEzxdSytbO+/bj7JdsBnbDOthxuf3BXuOB+Pevlv8W3ZU0a8BneADSpk7doGxL9woKgKs2I5uIz8LQFivbo+y0eE4Tn0oWCnG67RQL3gGtmWYIt2+W5fJ5uLOiu85HQRoIkumKzIb/jbQLum70M7hdZlxYhwNSqjE71B8abSzNrkgdEHjjx/IvA0wgQjS1MI6AUg6cZvcmA/5xla1IkhcbTb925h/wOw/2BJaDp2GTjoeKRkqb87mUoQW9hojKhn9JWOtk2TLfe0AOoBpJkePaS/S5sApKeqOysSZ1lqbcUxVtwxNNZqQJANNpyq2/PpZYPHrSyyPLhk9PzkxKMBaoDRpS/BZ4idIL26x+d2aO0pfu3eHje6qWLA9ci3MDut2/T3p5IpUdXK9d/ztXXV+JiX4XeBEQRT3DtPiZglOd/KU90DRXKQ566DGSi+cGKweeHfFt1BDz9b17Monyvz13TMRcoC3IAjAwIuhQgMW1G54bzvTSsk45T5zdpE17VPfIcdXjaSiOxDO5H5huRth3fbGtjh24PA4C923CNvg2eorffLFBiQOV5c1p6ERT+GVDKlx4woN5Mtvfjt+O4x02aNCJ3Gu7ewduNKh/vArhHXRBuuW1alNDzDP2UXH4Hkkp9u6xKNZ1aXi0bHBGgeZJBUu5HEQZvv+GM1FmWVoisxen7jMusRgMANQJHIIA0OlPJIAQZOG4nOkQKPUjac2TADiVcFZyubaSo9Lo0BNWH9Ln+l7KoXPpQtxbH/HGvIl4pD5rfSoutTMqQ6MEq1EggQadf6BtxW7wzw4qT1khYUV6a8IXgZgcPpJd2Z+sLedrMSTNfpS2hPte2G9OILwRIaXAvX5bUqZ/Oe4Ry0RlMwMVvu2m5EurT26EA6UBSdfwufUlSlkxxDt0Sg6Q1BZBBLM0DIk+PnbpzHzxt65iACCiNQBLgRdSvNGttGa03Vc4at4Ap+tRJe8xvs8JfHu7FwVvKLzBdZy+zKE14aj0KeLSMy9+9DUf1M/AJz12idAeSACzSQJIockwJxiG7WoPOLR4Bo2gL7pKtNgOa9Cn3ACmhHYyVUB3NuPPRFltnRUoOOFE+W4s8SBrRoglkp92tQlDVXp0OPV3Jzmn2W7K//j7joMtcRPeaJrqTts0vW62eurTqw+IfVIqHb8ONeJke8fo6d1xTva/5TWydYCLyLmuRK8+/u3TwpJ6tOlRkuwW2aXVyac7vAFJy9Y6Ak88zDc9rDJaSXns+48MUCXIg2PB4AMdvbiftx+S7J2zZuKfhG9NlzUdB+Kk/c/6OrEk9ULK8bT7F4KmnjYDS6Cyl2227+SFgIGa9S1UKkUQ4LzrB++7DvViWJEjXq0yikUVJH7/nfRNuCe4VnrHk0h4EVYzg09JAkVCat9zadp+CJLXUMHgZvMUWbqHt5UvjMqFFKVGcrUoeKMGdwI1mUZput0UXlRGikYWjgSZHd1cz8sbKKpyn6B85pkXx7Utcbfzrc7YeeNv6ntv29P987fP40mt/A2v3uZOojMZdS3yHBvQXYiXiMfb6d8+1wOweSetO31tpaf41vAOerswePtkGWJ4nykfR7qF1aXTEeQiAHEDqtt1G4MjVP9x64/v5NrLcdK1JCD99UoUxEo7EwrrkmAEdwMhi5MvP+NeILlb3l+IRIIohAXoLk6NFwGcfUIqOCGhAyVuJ4m23uTXJw2EGYcyrgT/C2+YiSwRUQnm21s0XF+4cLC1Anejm0SkLGgMbAeY+SRFtkg4BUnBvD4Jmb8fF23QSv/nm0u1YgDKVZEVKa55CzrIk3oG75kVO3C8aXBFQUvCkvx1QEuerlCxNQU89K4F4ItAkk/iei4BSFGaASTn4EZzFEastuiQs1UL/oM8f/bj1UZmfefVfx8+8+it48ugx/tsPfZzK83IWXdIq1Wgn43n8hfgx6epLv5Jiem221/tebJGgpGcbAZ4oeL0OmdcT6X6T53jcqLTYEPxEgtgSugdIA3CExckhAk9aH4XRpPZHZSfg1talu6QrSAoAVQrQgnjr0qqiI7poVvDOl4yBD69t7Xe8PZfAAKnnb12MHMBjXuXHhN7njVecfOlcso7f1oIEWOgIk3fX4e7BEvWje2wlBkPTLbiAFm7BwdY9/bTJRroBqGTy2zbdxD+ptieDpN6ReyfAuXVeCvISmgUp9enubTjK67bgEh0NQHEGRgyUzAfwiMfTJCFVD33UgZGRVakEPesOrWdd8DR7DGCnlkx8rvsVHul23KCRw9r70OdsLwzSLVHaphl/uZkeCZEKIeh4B4Zc/lA3b/CFenzHNSpTT7cQJzVKh9IcCKpTUjLJczxpwMP6OcpDzeeZqYqlF0IKBCGd1WlkPfL1MjiK7hlZlUqQQZmu7ErVpwFwcUK8Lei5lB5aiwrvWsZn2eBfge4NuSrT+FhGXV4N8JH9/koR8FmD+yVHTy5vBKoikcwcvi0fB+lS7XlMjhL7LTW+uw93D5aoHwJ0vsEeHAnRIqvTssFzsWM31+vS4bbczvSC5NpYfJQqYMpTJ81AU7Q11+WRJWgXoEqTPC0XriZWsB0yDC528B5alBIJXgcmkfBpYkTbcmbilAenKMpI8bTAlP5hkyAe/fZXgvop+bfhtJQ7KzsIcY5VlrMrLivDskQvjrChNWnc6TkgCmgv1ME70v18b+1iPxRGosNfmefXuFzG4/NHeltcfNN0t8ufaQCOAMRWqaXdcgSCZo7d3ZReWzvSWjpZ6vXC6ITkeDCgj/hndLUigUTE/IElaQiSIFa3l7byG3IRFAAVGVmYtuhpg5YCeutCvL0WH0aZ+9mDJFsPTH1jK1OuTd+Si9Yy7vH2cSwvMtzPNlwJAhjgU/WdIARMF2/BAaGVqQNQCEBTkPZWJM2PfJdG/HnrDXXrTdiJGu77b88NhDxvQmdNCutJQT2aViVKA8ogyb/5xmkDjHy6TALvpxQBJaUP/ZRSWWPpwXGKq8VHmjOiNFr0u0Vr9bXGJvj7PN/jvlW25bflqC/jpKRvDlEllzh1V35H29Tfe68F010mbo+6wnBfhsBHBvToV6K5FfOMQJHec5pfeKQ03s6fncKbgqMUlKe/2oeO4tSELiR33yDUcivqQKmCDMGM9AK6DRjaAkmh1pceaSRAdBtuBJKoTF72xQ5DEQRLaQWqa8d+S5KlJ5O3DyjNrUm5nT0NiPyQlB+IxLm1HcfPlXf+bvR2B00/zyq6L9w/WNJLsOmztHsLjsrNANLF225UJtchZmutWZFI5xt+ffMtgw7xoKTEUwCSBDY931a7BDRpXoLddtO4y9OB09+69Qa33SYUT9tAaUZThVgHNCEESsh58Uc9vALTlJhUFGTyG+hjutrbcDmPOaNH2j/gz/+Xki2duna2llgptSVMbIGooyU9BEQRTfk9z4B3Dwbw+lsSkEgZ6bRxQx8JahwcXxr8QuK8Li4b+ZjjAj4Z+taCEyc4D6I234bbqpdX/XVfm6IBYYGNAAwG9FmZTrvLNkgCiYrofAKC1pNqWstIXnrdPfRZ1+coS2FgMUoBXXoLU7ttDJ7igygbHS4P2AeSmgVpbGWyfBz6sW+PrV29cxid4n234X634Rzw2fJZqlYnBDROB3XNABLXE23LXWpl8g7d1kldAQgBnT3+SrvSyQEon45AE+WZbTcHvuoTTYBpz4GRW0BJHE2Ir+6lEl01XqElBVE6uPSgdQoMqH+b+G8nbQUZ/HpaxNeuFusPFfALRKAsNnNGgVUvt6unN/7JfX3nJwIYOoP7X69fHT28IouS0/Wd37Nrvj/F23d2BIbMnAp4Q6Dk+MIy0pfvMIBwL3jO+04PrqkzuGD8Jh3n+5C2773nOAETAlU6AzxeSJcApNGWWvTGXACSbDnp0QqAevJ3B5SkYkgIj6bUIqBi+z+Yuw2eQGWABnp6a9IIJMXAh+kRgLJ8FkCNLhs8hSfA5SvkbcL9Wpak6bj6GAlCEGWsThGt1DX9Jlzh23wTDhhusylPlw90ViX71huQ/ZPYanMJKPL8nA7AzaYVKrl8BkMlXYFdavfxAl3gtttAb8GxMJTGaRW0o4mj1UG3QMnSAbiHDeZXYdJlD5LltjVEep3jsYP3qFamXv6wxyVikGTvqvRIcoouEurej9d/wKjz6Lq7U5f78pc6ebNOrrs5OlejP2Ulmi99GG3LdbSAL6r/Nv5KOgPbvUm77hLK3nyyIu3e1gtCODH3WpdIlc60aBVeIKyZID3gmYGkyiMBzfF3yGSUR8Ix4sv0agUVzb5sKw7oQRUcv23StjVpBpKa+Oy5TAjK9NcMKPk8faj9Fz8b/TZr6KXh7s9ZQrCuCl4MYArKevDjediCdPk2HIwVqVmdslNvbp+69RagUa1K7iO4dbstQab+QhugqoIg5fXpCDRF6QT7FlyyQptalZJz5FZBiUtTPeKEawY1NQH7tVQSEtut4R+0VB84fbK8YusVY6Qqgdmbcd2crrQGlKSmGmfqan0RLoqsVn0fGl0cry1f8hkocYW2kyZ+qX/SLr15S37PV9s2CX5eRLOB9XNHC/h8fcO4q69ZQlmP94qlzSmYAZh/cFcforSRD8tzMfCa1UtBnPDqh/2cNH3nVbgjILRFj6xF/oq25qbgqZWRLk9Cy1MqSkZUFuVH3yxTqeltL3PqRmg1mtGBEUhCCKwStRUBvxdTC6OH8pKVMLlYvIa/yHAvlqVwLRVMfY+UZ9lB221RQk8bvx2XHCDKS1HozA00kFR9kxS0OIBTQU4BUChO34N8m6Y6I5+kCoKoPgOiKF/b6N+CY7DlLUveqdsDoEstTHw0gBA9fONNB5zyAPprnUASlDZTgGaVNo/pLL4n3a78L9VfVnLbC8MlS0ccWh/zHSOQn9gbdQAAErpJREFUNIMIpaxvSPhA93nieWdld+jkvWXUb0nzRtKeLa97TvSuceklGcZlzhPhgPC+4gGTji6Bpc2ttS3BRpajNClL/OHEHViXOv8pUqsVGaYJUPLpHXldHa5MZ3XCNnjyZUZ5TEfLq2MpHghhaEnydNS4BDSNb2/HaZ4HQxFI8iKJAFTju8SaNBg6AADvGoyPRHnR4d58lurOCSyg2XOUQGc9cnwRGOJykSXKWJSoXA+QGBA5HMDtFJQ33ghsbG61eStSCvILfea4zfxmey61Mt3nS/ieCRUo8bEBKhA2p51IOJdak7bAUxUk0UUFT1pPlSIsSIoUEWqc/wcQQIdR8A+jV74t7T2TOBWV9DXIhGfUpqgXTQIxn8/v1LFtsm8iYK1Joy5s6ehZOQzK8CKQgrjjrx/Ypa6H4y69lKhIiwd8YVxGEndxifNMOtDtffsvEXwApJ5n6w0o68vWvSflax2sfgHzOqMHNSOwM9S2EgOh0ZYa5/n7e/CEQV5geTJ0oPavPlNluWPQo1keDPlfYOyz1DXH0WHyxKSZR+8R0X2Zdo0cvLfWOjGxJm6/nt99uDefpbpzwqCk0Ge0Sp/QIjBkeBCDIb5n6KeEgEa4ga1hgB4DkNqp3CMrEYGk/ugABTARaIpAUrL5FVgpD6dTcI8EA5R4W64KUiyoCUFSwOcduyPrENO4Ts4LgVLJQ/wmXEtraj84AvpHODrUsVcL3kuppZOL21KjFmwtJNtt5/ZIubsNQVp0Tg8qFEenXxnQTVl/AZu6elP/+/mh+YB9Y4n0bvRb4xLQgjLM29FdfMRn0gPd7HV7q/IWwtGVb+v8hV3ba7N8D44i65Lj0fWMQz1d1AlpBHhmedgoE93DACi50IoUlKnoRtrcLPdNAEREH8MsEih4yqkYKG0fRAlDHwMoYPsNOB6hyGrkAZTltQAqvvZ8ruqSFf35w/2BJf0tCzEDnIsAE1x5cRYe9MAnolmLEm251fql8nVvv4Hb1g6brNNkYPWRra22DjR5S1Qa5Cd0lqQISEUgSQGWXubtN3fp500McApoHjh1JjnmZT69VLgCM7CaVybSaJ2rEEnazPOPVfyYWaoEKW6KD3onCUvkeEJcNgp9+T0h9+H3Xvsb+L3X/mes52TyJOCdxr0OBNr4tEbCvP8clRMEZdAL9EKdHGEAJNRdJP2ihul3NPgSk41UZECP4gP9DJ8Wm+a3NplnpjTymOwQTujUnSb5lwzGEkzTNSg7AFAQNDMgCaUKLAUAJxDMVh4mecOtNlcGgzKdYUzakmx4JC/HAagSKqri9NYkgPJSsBUndpsOPh+9NcmDpAgM9bQGarzFKAJQERDy5WRYJq7vPsN7c86SIAZMQAeEOlpUXiyAmVmUIpoBQxHNlMvLWbNglWEk601i0BQCIgYmqeepaQI0U5A0siwll/Z10pSt229OqEN/I+wDSeL5aAA6MBTQR1apEtqD02xIocKBLTPUmJsUm8dXvrPdhks1pkCpcUc1XBJmtrJPvPqv4ROv/ht48ugd/Fcf+ovBHazqFk9TqwOzTZoe6lEMfrlcQNtzXeLwbfqt2IB6G0nxNsCI6WFa+jkZzdGRXvZ1SaWxR9wFQqrWn6DsZnkPjtZJ+aXnm+ap+iapRN+I8wLcA55kktfVVwTNaQ+ezKBQfQyclM7ACkF9GgeJtvwR0luTeiAUWZMsHhuBpDhPAUpPa/dBkBed3N2CXYUiS9Oecky9L9D0/XMo5Yw+oBn/pAFf5Py9x2/Jv/2W+RL9Ua0RfZutAaTOgsTARcGL4UmWp3MK96ApADweEIWgaVCGn3YjcHEHT5JwIqtRFV5qguVyoy232adTJlamVORfRqFbs2xIJn/08EXBq4k4+AMpYdINKGkbJGjF7A572mt7LS5PQj4nMXFk1mu+4p2/nc4FeqEG+bd5y25YH0ej1VX6rC4+4Il0JuvYiLemZ3qa005nZyWhc6hQbr2tRqt0faa8BYjzgRAcdfdYLO8sDwL7vTh9yElaDGC0meLSIyAUClbmdG8p0nszYvAWoxkdrlxUpgIm6V6s8EDJgp3e+uTB0CUgicFQb20affakL2OvF3GMQJ+/fyV/vnD3RweIWx8TPVqqX5N75AT7ARPVGVmPBDEYGm25GRAV0HL97aO4/J033jJLneVmdir3zPK0BZqcZYnfWw2340oZBnhar1nLpFmVQsCUAoAT0XiAiG4mg7gJEEwSUnxJrBVpqLAIIG29M5F2UDTEKoeBUl3F4X1KLKTaugMc5yXLwqj9jd59v1x83FVTm9Ue6tDRm3llTBPM80d1XLI1x06zpn2ObECM9PlRvKZlksfpQKd7nhlfp/PrMEyEL/3HdaUTkL9Une4Qdri1p2FFDJBA9Qe0btBdGIGgOtZBXqJykTBVoEOhS7DNRvdCUI4sScZ3XctVPljw5C1MVQzjU7zBNDw/SOoBkvKMtt1uc1TA8+dFy9RdhffEZ+l5wJFgbFGqacwtShEtsjItVH/T+UX1ev8fs4VGoCQCRDNfpY6mACkhBk18r4Tdjt6SbP0CK5zhuUoDkCREkwGdQdLi+Pn+I1+lun5KW9fMWpXK7z6AZEv5sKdsVIq34hocsdtwWv+WYthqgwSxmKO/Q9RrBlJBM6NKR7/iFnoJ4iMRRDp4xyVSdJDYOnRKDbttOtyHESjy1UUAagiIlLbB53WyxwZmTu0xxcnoNPlAcBflk1VoCKA8ACNQpmntVA1OLQ9BEAlJJnkdCKI8T+dB9PnDN97QW5IiADUDT6B88Pian2JIjK1JY5CU18W9IKlhw5HPUgNrCPNvazXan8cyucvwnvks7QZMiOnPtQWHmZWp8fk35vQeOZQpVUFHZPlh8KNARnkoPaQ5IHUJaOosVO7+3TEB1Fm2KhmABGxakoTovN3m6zdrKfF363CCnQzuMgBp/sZbO2bAPniXhrEa0ZVa03ymd1v0/D0liEW5zxs6S5KJB5LziqvKHLFFSSxPl0dxGdDDOiI9PSjj3XC6dnJvC08olYif4lu8Eb/q344W8PWHVcb6P4PwVLoYCP5Wjt+X8KhGj6xCIwDlwdMITCmv1k3Sqg7fwBhJBvRZHlx9XvgY5HG5iO4tRiZPOpNQFUepLwnM26m6wsRbbqNTvNGBJAt+YjCkdfa0ns5XBKB8D15EnlJm6/6LCu+pz1IImIDn81kCpltwzDs7PmBBghTUnmlFtYbO0W4rLAJIt7UqGbBzAWjqaKtN+2MC4ARkzkmQ2LpUUSbRGAyNrE5+QETsQMy24Uo+g52hMnHgaP4gRsFvYGzVYKERUzTtT/Tua5zf5dIdepn2nFZtAfENgJOP86+jTf2UNuJTZ/HJpeWSSwu3NTXlY0AO6TmgjwOXASjl72gBb+Q643lnAMrMidrZHYJ6Hp7Iv6jL93kReAqsSyYU9MBoIaVcfoYiKyga5EUCRjAQdfkWiwoQlOssTEBnMdoCT+jL6FxVSxJPw60ttxlImluZcr8u3Y7z5fprn/N3P3Tjdd6WvLtwvz5LyT1SEgAmLZOsbvX+SQIyUKg+Duqd0batTKmWBbKfUgMiDdQks+2VaeacJWMd8iCKwMrMqhSBJLYMhY7ffhuP7seWJe18d4nzV0pWSN66ZITreAVW2MbqpJerS1yemSBtjlmFxKm9j1APDvKttsv7ZrL64m24P/ib/w9+77d+D9/6/a/j8Xce49/50n+MH/7Yj7pabM1f+u3fwd/6q7/Z3fM/e+fv4MFLL2/2h2s150QFWAiiGamnsy4W5u9uEtNYh27kT8tOdHdnTeIyWlca/Low8lnSdAdopM8fgR4/b4f8ARbgMrWaLsLqo8zCF2pdmoCkYX5kffJ8ZQsuBE6BWk4pEGIgNNkSpsQCZhDk83irLQI8Q38kl6fdqDx5TRRfZgVEpBbtHb+luxVqXCje6DOQ5P2ZmGe2HbcFoOIyYyAUle1rbavuXYf7/dyJ6kCn9zwImtFHnzYR7LAoOVpkUar02lYaytGr/h1NAUvElyh9C6tSaFny90ztfgZI+Xp1YGABksbN50sob/hZE0eXgB6BpGgbjq1MHkCV0Na5vZamWhI2jB/GUXBNqfXaM7tb6tnbz/CjP/ej+PN/+Z/D3/7k/2JqaPX0NV5/8H3497/yGrLQBcAJD1+6vri93MbWVpvu+VjxUvP41y/gEudv6eFaxy2uqQsNYA0Z3D2h3jvRR2DHzD3L3i/wEs27wZyUcZ7R1Z3Ob3PdHB3wwrfenDB350+AUx2UADSZuhg96FpWhCZpApTECc/leRqDntEhklFZMI8MAFJpb5TnrUzdrxiR1MdJ7Pj3xTNn34X9IIlBzeizJ9sAamtNfr48Ff/lK/jl4f4dvGEBT70EoZUp4mWLUmd9Sk7XjmiufHRiNxAcOKmgg7fAzBab8nma54sA0oxW6ojORppZkTxftUbRgFQBJAJAyQqGQU9HZwELCTWhGzQPgnRAzMAH5ehKAqQC9lLpxEjBeLWmD9rlQe/UP5itaZGHUqZ8/Fd+BsCC7371DVePr9GmRYBXPvwDaCa+k+HcajM/d/t73WSmz0FFQ/p6OlcY3cTFp2DKXz4PeHFAKlH9bpWtvRYvhXFa9aCnjXg9KPNlTPlBvV5ZZD7u0B5B7OVRFTziGeU7emddGoCkMJ/tIjo4KQY9M0/4vVYkn895IYhy7QD/yu7tNvsrLa3lVQLetNSkUlcdllhLb+dpOhme0edN2p09QFpNq6KwtRptlw0e4TsNd78NF/yOHkl+q81cRF9uU8eOej2N24wQMDVab3miaXNvNAz4QDSKa9p3PkKUnYA8XSi+hx7kweWZAfADYhOJeSjo6ERh9A7cOMSbcpaWHDVa1GyeUE5U99PvvYv/5kc/iXRe8cMf+2fwL/wXfwX/1Mf/2cua7ttXrYqRdcnHg15PBCE+fxYf5HVWIBnwB7SurL+FrrCztk2CBzGVNuAd8Xu9HLWj8XjfO9RnxGICt8pu9kn5RisqCWvIkwZ1JJuWdGE+bFyojH7+pJueofBQPOEt3aQH+ZzX0UubIjpcuSiv3EvA9NIHk7Zd1ntyk1vPxx8E9+cR2akxW9v6FW62ZjWe2eTbmpj7yvphvOtwb2BJ40IJ8zb4Bj1M87M8uSeI1z+Kvm5dUO1bb0A1+RoaCKBwnh+6cFm8ZZjUX+Xh2xOUmyme0UCZPBKSKUuCRlBPdG9/j47HDXRba6iX48cmljy/OZdczm1Da6dTNSVul5l+QbHpf/LPfQT/6m//e/hTH/0zePLoCf7uf/e/4b//uf8Ir/69z+GHfuJPh2VunjzFzZMbqCXqyaN3XlDfBvNXLqxzwtz9wTxewbfbIO5SGiuvEmZPZgRmIv6wjmCeDu+xV4iyczXR52p6pe37CvGGNzGLpaWbxdnXwfnx01Lj4ukbKjLC+BH2V8ATleO8wd8MPf8GLeLZw5e0KbR+EGBScOKnNq9GXmJ2pYolGvkD8Qo2moOzKbWtBW17tgL3566DpJS223+EIxxhd/j85z+PT33qUzX9xS9+ET//8z8PAPjqV7+KH/uxH8OXvvQlfOxjH7uo3nVd8dM//dP4hV/4BXz2s58NeX7jN34Dn/70pzv6m2++iQ9+8IMX3e8IRzjCEY6QwwGWjnCEFxzeeust/OEf/mFNf+QjH8HLL+e3154HLAHAJz/5SXz961/HF7/4xTD/yZMnePLkSU0/evQIP/IjP3KApSMc4QhHeI5w59twRzjCH7fwyiuv4JVXXnnh9aaU8OUvfxkf/ehHhzzX19e4vn6et+WOcIQjHOEIPhxg6QhHuIfw3e9+F1/72tfwzW9+EwDwla98BQDw4Q9/GB/+8IcBAL/6q7+Kj3zkI/jMZz4DAPj0pz+Nn/3Zn8VP/MRP4NGjR/jsZz+LL3/5y3jttdfem04c4QhHOMIf07BssxzhCEd43vCFL3wBH//4x/FLv/RLAIBf/uVfxsc//nF87nOfqzxf+9rX8K1vfaum33jjDfz6r/86fvInfxK/+Iu/iG984xv43d/9XXziE5+49/Yf4QhHOMIf53D4LB3hCP8Yh0ePHuFDH/rQ4bN0hCMc4QjPEQ7L0hGOcIQjHOEIRzjCJBxg6QhHOMIRjnCEIxxhEo5tuCMc4R/jkFLCW2+9hVdeeSX8TMIRjnCEIxxhOxxg6QhHOMIRjnCEIxxhEo5tuCMc4QhHOMIRjnCESTjA0hGOcIQjHOEIRzjCJBxg6QhHOMIRjnCEIxxhEg6wdIQjHOEIRzjCEY4wCQdYOsIRjnCEIxzhCEeYhAMsHeEIRzjCEY5whCNMwgGWjnCEIxzhCEc4whEm4QBLRzjCEY5whCMc4QiTcIClIxzhCEc4whGOcIRJOMDSEY5whCMc4QhHOMIk/P/W7RNcIQysdwAAAABJRU5ErkJggg==",
"text/plain": [
"Graphics object consisting of 1 graphics primitive"
]
},
"execution_count": 12,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"eq = 6*x^6 - 7*x^5 - 7*x^4 + 7*x^2 + 7*x - 6\n",
"complex_plot(eq, (-1.5, 2.1), (-1.5, 1.5))"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Polyhedral geometry\n",
"\n",
"There is now a catalog for common polyhedral cones, e.g.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"5-d cone in 5-d lattice N"
]
},
"execution_count": 13,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"cones.nonnegative_orthant(5)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"\n",
"New features for polyhedra:\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"A 3-dimensional face of a Polyhedron in ZZ^3 defined as the convex hull of 8 vertices"
]
},
"execution_count": 8,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"sage: P = polytopes.cube(intervals='zero_one') # obtain others than the standard cube\n",
"sage: P = matrix([[0,1,0],[0,1,1],[1,0,0]])*P # linear transformations\n",
"sage: it = P.face_generator() # a (fast and efficient) face generator\n",
"sage: next(it)"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"sage: next(it)\n"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"sage: f = next(it)\n",
"sage: f.normal_cone() # normal cone for faces"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"sage: P.an_affine_basis()\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"64"
]
},
"execution_count": 7,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"sage: P = polytopes.hypercube(4)\n",
"sage: P.flag_f_vector(0,3) # flag_f_vector is exposed"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": "\n\n",
"text/plain": [
"Graphics3d Object"
]
},
"execution_count": 8,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"P.plot()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Integral curves over finite fields"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Affine Plane Curve over Finite Field in z4 of size 2^4 defined by x^3*y + y^3 + x"
]
},
"execution_count": 9,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"A. = AffineSpace(GF(16),2)\n",
"C = Curve(y^3 + x^3*y + x); C # Klein quartic"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Function field in y defined by y^3 + x^3*y + x"
]
},
"execution_count": 10,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"C.function_field()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"3"
]
},
"execution_count": 11,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"C.genus()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[Point (x, y),\n",
" Point (x + (z4), y + (z4^3 + z4^2)),\n",
" Point (x + (z4^2), y + (z4^3 + z4^2 + z4 + 1)),\n",
" Point (x + (z4^3), y + (z4^2 + z4)),\n",
" Point (x + (z4 + 1), y + (z4^3 + z4)),\n",
" Point (x + (z4^2 + z4), y + (z4^2 + z4 + 1)),\n",
" Point (x + (z4^2 + z4), y + (z4^3 + 1)),\n",
" Point (x + (z4^2 + z4), y + (z4^3 + z4^2 + z4)),\n",
" Point (x + (z4^3 + z4^2), y + (z4^2 + z4 + 1)),\n",
" Point (x + (z4^2 + 1), y + (z4^3)),\n",
" Point (x + (z4^3 + z4), y + (z4^2 + z4 + 1)),\n",
" Point (x + (z4^2 + z4 + 1), y + (z4^2 + z4)),\n",
" Point (x + (z4^2 + z4 + 1), y + (z4^3 + z4 + 1)),\n",
" Point (x + (z4^2 + z4 + 1), y + (z4^3 + z4^2 + 1)),\n",
" Point (x + (z4^3 + z4^2 + z4 + 1), y + (z4^2 + z4))]"
]
},
"execution_count": 12,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"C.closed_points()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[(x + z4)/x, 1/x^2*y + (z4^2 + z4)/x]"
]
},
"execution_count": 13,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"p1, p2 = _[:2]\n",
"P1 = p1.place()\n",
"P2 = p2.place()\n",
"D = 5 * P1 - P2\n",
"D.basis_function_space()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[Place (x + z4, y^2 + (z4^3 + z4^2)*y + z4^2 + z4 + 1),\n",
" Place (x + z4, y + z4^3 + z4^2)]"
]
},
"execution_count": 14,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"f1, f2 = D.basis_function_space()\n",
"f1.zeros()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Generator for cube-connected cycles"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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s2UyHREkxmvS7mIZVMXMtzBAm5ativvvuO2zfvr3JrpndUUlJCZYuXYozZ87A3d0d+/btg5KSEtNhUVKIDhJ2MTo6OnB3d0d47FW4bN+DiqrWn6JtUFFVDdftexAeF4+QkBDGEz7w+gnff/75p1NO+pJ0qqqqiImJQVBQECIjI2FoaIjbt28zHRYlhWjS72LS09MRHBwMMzMzREv5qhhlZWUQQvDy5UumQ5EILBYL7u7uuHv3LlRUVGBmZoYdO3agvr75ny1FNYcO73QhpaWlMDY2hoqKCm7evImnT59K9aqYhqd/8/LyGu05T70+CGbbtm3YuXMnTE1NcfToUQwbNozpsCgpQJN+F1FXVwc7Ozukp6fjt99+a5QkRfHEKBNu376NsWPH4u7duzAwaH6paXd38+ZNLFy4EKWlpTh48CCcnZ3p/j1Uq+gTuV3Epk2bkJCQgCtXrjTpFYviiVEm9OnTBwDoRG4rJkyYgLt378LDwwOLFi3C+fPncejQIaioqDAdGiWhJP83n3qryMhI7NmzB3v37oWlpeVby0tDwgdej+kDwIsXLxiORLIpKyvjyJEjOHbsGOLi4mBgYICEhASmw6IklHT89lMtunPnDpYsWYJFixbBw8OD6XBEqiHp055+28yfPx8ZGRl47733YG1tjY0bNzZ7kA3VvdGkL8WKi4sxe/ZsjBo1Cj/88EOXG8uVl5cHh8OhPf12GDRoEK5cuYJvvvkG+/btw7hx45CVlcV0WJQEoUlfStXV1WH+/PmoqqrC6dOnu+xB2n369KE9/XaSkZHBhg0bkJKSgqqqKnC5XAQEBICu2aAAmvSllpeXFxITE3Hq1Klmt2PoKpSVlWlPv4OMjIyQmpoKV1dXrF69Gvb29igqKmI6LIphNOlLoaNHj2L//v3Yv38/zM3NmQ5HrGhP/9307NkTBw8exC+//IL//e9/0NfXx/nz55kOi2IQTfpS5rfffsPSpUvh6uqKVatWMR2O2NGevmhMnz4dGRkZGDNmDGbMmIHVq1ejsrKS6bAoBtCkL0X+/vtvzJkzBwYGBggICOhyE7fNoT190dHQ0MC5c+cQEBCA0NBQcLlc3Llzh+mwqE5Gk76UqK2txbx581BbW4uYmJhuc4we7emLFovFwsqVK5GamgoFBQWMHTsWu3btovv3dCM06UuJdevWITk5GdHR0dDS0mI6nE5De/riMXLkSKSkpOCzzz7Dpk2bMHnyZDx+/JjpsKhOQJO+FAgLC8OBAwfw/fffY/z48W9/QxdCe/riIycnh2+++Qbx8fHCcxiOHz/OdFiUmNGkL+Fu376NFStWwN3dXXgubndCe/riZ2lpiYyMDNja2uLjjz/GokWL6HbWXRhN+hKssLAQDg4OMDQ0hL+/f7eYuP0vZWVl8Pl8VFe37TAYqmNUVFQQFRWFI0eO4MyZMzAwMMCvv/7KdFiUGNCkL6Fqamowb9481NfXIzo6GhwOh+mQGEF32uw8LBYLCxcuRHp6OrS0tGBubg4fHx/U1tYyHRolQjTpS6hPP/0Ut27dQkxMDDQ1NZkOhzF0p83ON2zYMCQkJGDr1q3w9fXFhAkTkJ2dzXRYlIjQpC+BgoODcejQIRw8eBCmpqZMh8Mo2tNnhqysLLy9vZGUlISysjIYGhoiODiY7t/TBdCkL2FSUlKwevVqrFixAkuXLmU6HMbRnj6zTExMcOfOHTg5OWHp0qVwcHBASUkJ02FR74AmfQny7NkzODg4YMyYMfDz82M6HIlAe/rMU1JSQlBQEGJiYpCYmAh9fX1cunSJ6bCoDqJJX0Lw+XzMnTsXLBYLp06dgpycHNMhSYRevXqBxWLRnr4EmDNnDjIyMjB69GjY2tri008/pauqpBBN+hLik08+QWpqKmJiYtC/f3+mw5EYbDYbvXv3pj19CaGpqYmLFy9i//79+OGHHzBmzBjcu3evQ3UJBAIRR0e1BU36EuDHH39EYGAgDh06hLFjxzIdjsShT+VKFjabjbVr1+J///sfWCwWjI2NsW/fvrcm8bS0NHh4eMCYy4W8vDxkZGQgLy8PYy4XHh4eSEtL66QWdG8sQqfjGfXrr7/CysoKy5Ytg7+/P9PhSCQDAwOYm5vjwIEDTIdC/Ud1dTW++OIL7Nu3D1OmTEFYWFiTJcY5OTlYtnQpriUkQEtdDZONDWCg+x56K/bEy4pKpGfn4spv6Sj4uxhWlpYIDAqCjo4OQy3q+mjSZ1BBQQGMjY2hq6uLq1evokePHkyHJJHMzc0xZMgQHD16lOlQqBZcvnwZixcvBp/PR1BQEBwcHAAAkZGRcHd3x4C+Kti9ZgnsJ4yDrKxMk/fX1dXj3M0UePmH4FnZc4SEhMDJyamzm9Et0OEdhjRM3MrKyuLkyZM04beC7r8jeUpLS6Guro68vDwAwJQpU3Dv3j1YWlpi7ty5WLJkCQ4fPgxnZ2c4Wpgh/WgA5liObzbhA4CsrAzmWI5H+tEAOFqYgcfjITIyskk5Pp+PwYMHIzU1VZzN69Jo0mcAIQSrVq3C3bt3cfr0aWhoaDAdkkSjY/qSx9fXF/b29hg6dCgAID09HWvWrMHt27fRo0cPhIaGwt3dHTxba4T6rIOiQtvOf1BUkIfJqBHoKc8Bj8eDnp4eEhMThdc5HA7Wr1+PjRs3iqNZ3QJN+gw4dOgQDh8+jB9//BHGxsZMhyPxaE9fslRVVSEkJATu7u7C11JTU6Gmpobw8HD8/vvv0NbWBgjBh7raYLPbnmaOX7mOz/wC8c2qJRiorobyFy8wdepU5OfnC8vweDwkJiYiKytLpO3qLmjS72SJiYlYu3YtPvnkEyxevJjpcKQC7elLlosXL0JWVrbRFiFubm74/vvvYWFhgefPnyM3Nxe244xxPul2u+reFxUDN3tbrHa0x37P5XhSUAA1NTUcOnRIWKZfv34wMzNDVFSUyNrUndCk34mePHkCR0dHjB8/Ht999x3T4UgN2tOXLDdu3Gj1L9SwsDAM1FCHSi8l9O3dq8311tTWIvWPbNiYGAEAZk4whZa6Gnr37o2kpKRGZU1MTBoN+1BtR5N+J6muroaDgwPk5eXpxG07KSsr4+XLl/RhHgmRl5fX6s6vyUlJGK09GKeu3cSy2dPaXG/Ji5eorxdAo68KgNeTu5O4BigtKUFhYWGjslpaWsJJZKp9aNLvBIQQrFixAvfu3cPp06ehpqbGdEhSpU+fPiCE4J9//mE6FAqvx/Tl5VuemM24dw+JdzPh47YAU/6/194eb54VZKCrjcKioiYHCCkoKKCysrLddVM06XcKf39//PTTTwgKCoKRUft/Cbo7utOmZFFVVcXz58+bvZaZmYna2lqYG+rD23VB++rt0xsyMmwUlv5bt7KSIurr65uscCsrK6Odpw6iSV/MEhIS4OnpCU9PTzg7OzMdjlSiO21KFkNDQzx48KDJ6/fv38ekSZMgIyODyWMM212vXI8e4I7QxeX/3RG+Vv6qAiwWC2ZmZo3KZmZmwtCw/fegaNIXq/z8fMybNw8WFhbYtWsX0+FILdrTlyy2tra4f/9+o97+/fv3YWVlhSlTpmDUBx8gJfMBCkvLUPy8fT8zTycHhJyNxeFzccjKy0fw2YtgsVhYsWJFo3KJiYmwsbERSXu6G1mmA+iqqqqqMGfOHCgqKuL48eOQlaXf6o5qSPq0py8ZRo8eDWNjY5w4cQLLly8HAJw8eRLFxcWIiIgAAGQAOHE1EUP6q+Ov00cAAHnPCqHt4IL4g9/C0sig2brnT7ZAaflLbD8cgWelZSAEmDVrFoYMGSIsk5ycjPLycjg6Ooq3oV0U7emLASEEy5YtQ1ZWFs6cOQNVVVWmQ5JqDcM7tKcvOXx8fODn5ydcUfXVV1+BEAJCiHCLhGhfH2HCB4C8Z0Xo00sJBjrarda9aq49/jp9BJHbNqG2rg7e3t6Nru/duxdeXl5QUFAQcau6B5r0xcDPzw/h4eEICQnBhx9+yHQ4Uk9eXh5ycnK0py9Bpk2bhuXLl6OgoKDJNSMjI1hZWsLLPwQVVf8eshKbkorPF82HShvW7ldUVWOD/2FYWVo2WvzA5/NhYGAAT09P0TSkG6K7bIpYfHw8bGxs4Onpid27dzMdTpehoaEBDw+PJr0+SjLl5ORAX18fjhZmCPVZ166tGAQCAVy270H09SRkZGTQbZZFjPb0RSgvLw8fffQRrK2t4evry3Q4XYqysjLt6UsRHR0dhISEIDwuHq7b9zTq8bemoqoaLtu/Q3jsVbi5udGELwY06YtIZWUl5syZg969e+PYsWN04lbE+vTpQ8f0pYyTkxPCw8Nx6noSDBauQkzCTdTV1Tdbtq6uHjEJN2GwcBWiryfD3NwcAQEBCAsL69yguwGamUSAEAJ3d3f8+eefSE5ORt++fZkOqcuhPX3ptGDBApiYmGDZ0qVw/HwHtNTVMIlrAANdbSgrKaL8VQXSsx/iaurrk7OsrawQFxgIbW1trFy5Eq6urqipqcGyZcuYbkqXQZO+COzduxdRUVE4fvw49PX1mQ6nS6I9femlo6OD+GvXkJaWhtDQUCTeuIHw2KsQEAIOh4PRenqY89F8uLq6Npq0/eGHHyAnJ4fly5ejpqYGa9asYbAVXQdN+u/o8uXL2LBhAzZu3IiPPvqI6XC6LGVl5UZ7qlPSx8jICEZGRnj27Bk0NTVx7tw5zJgxo8XyLBYL33//PTgcDjw8PMDn87Fu3bpOjLhrokn/HTx8+BAff/wxpkyZgq+//prpcLo02tPvev67iVpLZXbv3i08MYvP5+OLL77ohOi6Lpr0O6iiogKzZ8+GiooKoqKiICPT/NmflGjQMf2uoy3J/r/ld+zYAQ6Hg82bN4PP5+Orr75qdz3UazTpdwAhBG5ubnj48CFSUlKgoqLCdEhdHu3pd28sFgtbtmwBh8PBpk2bwOfz4evrSxN/B9Ck3wG7d+/GiRMncOrUKejp6TEdTregrKwMPp+P6urqVvdyp7q2jRs3Qk5ODp999hn4fD727t1LE3870aTfTnFxcdi0aRM2b96MuXPnMh1Ot9Gw/87z588xYMAAhqOhmOTp6QkOh4PVq1ejpqYGBw4caNcTv90dTfrtkJOTg48//hhTp07F1q1bmQ6nW2hY5nf50iWwWSxoamqCw+FAb9QomJqZNVnmR3UPq1atgpycHJYtW4aamhr8+OOPNPG3EU36bfTq1SvMnj0bampqiIiIoBO3YpaTk4NlS5fiWkICtNTVMNnYAMunWqG3Yk+8rKhEenYuTp84Dn9/f1hZWiIwKIg+st/NuLu7Q05OTvgA1+HDh+nvZRvQpN8GhBC4uLjg0aNHuHXrlnCogRKPyMhIuLu7Y0BfFUT7+sB+wjjIyjb9Za6rq8e5mynw8g+Bvr4+QkJC4OTkxEDEVEeIYq/HRYsWQU5ODs7OzqipqcGRI0fQo0cPEUTXddG/h9rA19cX0dHROHr0KD744AOmw5FapaWlUFdXR15eXotlIiMj4ezsDEcLM6QfDcAcy/HNJnwAkJWVwRzL8Ug/GgBHCzPweDxERkY2Kcfn8zF48GDhPu8Us0Q98frxxx/j+PHjOHXqFD7++GPU1NSItP6uhiZ9QHgQRHMuXLgAb29vbNmyBbNnz+7EqLoeX19f2NvbY+jQoQCAsLAwsFisRl88Hg+EEHy7ZgkUFdq2Suf7E2eQlZcPGTYbPB4PU6ZMwR9//CG83vBgz8aNG8XRLEoCzJ07FzExMfjll18wd+5cVFe3bVfP7qhbJv20tDR4eHjAmMuFvLw8ZGRkIC8vD2MuFx4eHkhLSwMAZGdnY8GCBZgxYwa+/PJLhqOWblVVVQgJCYG7u7vwtfnz5+PZs2fCLzNTUyhwOJhgMAr9+7V907obd+5hlaM9kgL3QUtdDXfS0mBjY4OKigphGR6Ph8TERGRlZYm0XZTksLe3x9mzZ3HlyhXMmjULVVVVTIckkbrVISrNTQ4a6L7XaHLwym+vd/sznzgRT589g4yMDG7duiU8p5XqmJiYGCxfvhzFxcXNXk9NTYWxsTFkZdgI2fwZFk6d3LH7JNyE4+c7AADXr1+Hubm58JqVlRUmTpyIbdu2dahuSjSKiorQv3//t+6901HtJNRYAAAgAElEQVTx8fGwt7fH2LFjce7cOSgqKor8HtKs20zktndy8LPvA/G4qBi7du2iCV8Ebty4AWNj4xavh4WFQVlJCQCBo9XEDt9n5gRTaPTti6KysiZbXJuYmCAxMbHDdVPSwdraGrGxsZg2bRqmTp2K8+fPo1evtx/R2F10ieGdt00QdmRyMDPiRyywsYKXl1ezk4MNHB0dsXfvXlE0o0vLy8uDpqZmi9eTk5IAEDjZWEFBntPh+8jIsNFDlg0lJaUmT0traWm1OolMdR0TJ07EpUuXkJ6eDhsbG7qFxxu6RNL/7wQhAKxduxZcLle4nMvZ1hqhPuvaPDmoqCAPL54jBqmrwtnZGSwWC/v3729SbsuWLfj666/x8uVLUTWnS6qqqmp1+4SMe/dQ/qoCS+xt3+k+a747iIqq6mZXcCgoKKCysvKd6qdER9wjy6amprh69Sr++OMPTJ48GWVlZWK9n7SQ+qTf3AQh8O+maH379kUPWRkEbPBo9xN71TU1mG0xHmp9+kBOTq7ZMvr6+hg6dCgiIiI63IbuQFVVFc+fP2/2mkAgQG1tLQZpqIH7vm6H7+GxJwDnbqZgw8KPUFNT02RVVllZGdTU1DpcPyUanblXjrGxMeLj4/Ho0SNYW1u3OKfUnUh90r948SJkZWVhamra6PXvv/8e48aNQ1FRETRV+7W5h/+mMR+MwH7PFQjY8HqPjydPnjRbbubMmYiKiupQ/N2FoaEhHjx40Oy1ht638cjhHaqbEII13x3E6YRfcdX/W8jJyoLD4TT5kM/MzIShoWGH7kFJrw8//BDXrl1DYWEhLC0tUVhYyHRIjJL6pN/aBGFYWBh6KfZEb8We73SPmRNMIcNm49atW81eNzExwe3bt8Hn89/pPl2Zra0t7t+/32xv//jx42CxWOD06Ni6gtXfHUREXDwitm5Er54KSMnMwvsjRjRZspeYmAgbG5sO3YOSbnp6erh+/TpevHgBCwsLFBQUMB0SY6Q+6bc2QZiclATtARrv/OekrKwM5DlyeNTCJKCWlhb4fH6370G0ZvTo0TA2NsaJEyeaXAsJCYGuri4S0x+grq6+0bW8Z4Vgm9ohIS29xbp/iPkF5a8qYLV6AzRnLMDJ+ESkZ2Tg+PHjwjLJyckoLy+Ho6Oj6BpFSZURI0bg+vXrqKqqgoWFRbc9flPqk35rE4SZ9+9Dox0P+bRGTlYWT589a/aagoICANBJwrfw8fGBn59fk7H2pKQkREVFoeDvYpy7mdLoWt6zIvTppQQDHe0W6xUkxwq/Tvl6A3i97t/FxUVYZu/evfDy8hL+rKjuSUdHBzdu3IBAIIC5uTkePnzIdEidTuqTfksThAKBAHw+HxwRbb7EZrNRX1/f7JYNDasC6CRh66ZNm4bly5c3+6e1kZERrCwt4eUfgoqqfx+hj01JxeeL5kOl99vXWVdUVWOD/2FYWVo22m6Zz+fDwMAAnp6eomkIJRJMPRc6dOhQXL9+HXJycrCwsEB2djYjcTBF6pN+SxOEbDYbHA4H/NpakdxHIBBARkam2RVAmZmZGDhwIFRVVUVyr65s7dq1GDRoULPXAoOC8KzsOVbtOiD8cP1mlRu8nOe9tV6BQICVuw7gWdlzBAYFNbrG4XDg7e1Ne/kSQhJOuho0aBCuX78OJSUlmJubd6vtOaQ+6bc0QZiTkwPtYcOQ97QQVXw+7v6Zi7t/5qKmHR8CNbW1wvdV19RAVVUVd+/eRU5OTqNydIJQNHR0dBASEoLwuHi4bt/TqMffmoqqaize9h0i4uIREhJC99Wn2mTAgAFISEiAqqoqLCwscO/ePaZD6hRSn/RbmiB0d3dH1u+/48/HBfgzvwBGi1fDaPFqPC0pFZZhm9oh7PylFut+WlIqfF8VvwZFRUUwNDRs9ExAdXU1Tp8+jaVLl4q+cd2Qk5MTwsPDcep6EvQXrkRMws0mk7sN6urqEZNwEwYLV+HktUQQQui8CtUuGhoauHbtGrS0tGBpaSncbLEr6xIbrl24cAHr169HZmZmo+GXtLQ0cLlcRPv6YI7l+EbvyXtWiOHzluB+VCB0B2m1Wn/DJl6pqalNjuY7ePAgfv75Z1y61PKHB9V+OTk5mGRtjfzHj6GlroZJXAMY6GpDWUkR5a8qkJ79EFdTX2+OZ21lhR9+/BF79+5FcHAwYmNjMWnSJKabQLWguLgY6urq+PnnnzFz5kymwwHw+uxlW1tbZGdnIy4uDiYmJkyHJDZdIukDgJ+fHxwcHJqMF1tbWeFR9p9IPxrQ6AGtH2LO417uXzjotabVeiuqqmGwcBWG6A5H/LVrTa4HBgbCwsICI0aMEE1DKACvJ181NTUxffp0KCsrIyU5GfcyM19PznM4GK2nh3Gmpo3OyK2rq8P06dNx69YtJCcnY+TIkQy3gmqOJCZ9AHj58iWmTp2Ke/fu4eLFixg/fvzb3ySFukzSb0lOTg709fXhaGGGUJ917dqKQSAQwHX7Hpy6noSMjAw6VtyJjh07BicnJ2RlZeH9998Xvi4QCFr9GZaXl2P8+PGoqqpCSkoKXVElgSQ16QOvz8KeMWMGfvvtN/zyyy+wtLRkOiSRk/ox/bd5l8lB1+17EE4nBxkRHByMiRMnNkr4AN76oa2srIxffvlFeJA9PUFJcklif1NJSQkXLlyAqakppk2bhitXrjAdksh1+aQPvDE5mPArRjkta/Pk4KnrSYiIiKCHbXey3NxcXL16tckmem01dOhQnD17FmlpaXBzc5PI5NKdScKSzdb07NkT586dg6WlJWbMmIELFy4wHZJIdZtDVBYsWIAzZ87g7NmzcPx8R4uTg3G3UlFU9hzWVlaICwykPXwGHD58GMrKyu+0ZcLYsWNx9OhRzJs3D7q6uti6dasII6S6Onl5eZw+fRrz58/H7NmzcfLkScyaNYvpsESDdBNZWVmEzWaTffv2kdTUVLJmzRpizOUSDodDABAOh0Pe09YmAMilS5eYDrfbqq2tJQMGDCCrVq0SSX2+vr4EADl69KhI6qPeXXFxMQFAzpw5w3Qob1VTU0McHR2JrKwsOXHiRJveU19fL+ao3k23SfoODg5k8ODBpLq6usm1hh9SUVERAUCOHDnS2eFR/+/nn38mAMidO3dEUp9AICCurq5ETk6O3LhxQyR1Uu9GmpI+Ia87IgsWLCBsNpuEh4c3ud7QieQaGTXqRHKNjMiaNWtIamoqA1G3rFsk/Vu3bhEAJCws7K1ljYyMyIIFCzohKqo59vb2hMvlirROPp9PrKysSL9+/Uh2drZI66baT9qSPiGE1NXVERcXF8Jiscjhw4cJIYRkZ2cTK0tLAoBoqauRxdMmk71rl5PgLzzJ3rXLyeJpk4mWuhoBQKwsLSXm316XH9MnhGDTpk0YNWoUnJ2d31rezs4OgYGBb10aSIleQUEBzp8/j4MHD4q0Xjk5OURHR8PU1BTTp09HcnJyk0PTKao1MjIyCAkJAYfDgZubG27evImoqCgM6KuCaF8f2E8Y1+y523V19Th3MwVe/iHQ19dHSEgI4wtDunxWu3z5Mq5du4adO3dCRqb5w9DfZGtri5KSEty5c6cToqPeFBYWBnl5eSxYsEDkdauoqOD8+fMoLS3F3Llzmz1Dl+pcRAJXVZWWlkJdXR15zZydwWazcejQIdjY2ODw4cOYa2GG9KMBmGM5vtmED7w+i2OO5XikHw2Ao4UZeDweIiMjm5Tj8/kYPHgwUlNTRd2kJrp00hcIBNi0aRPMzMxgb2/fpveYmpqiV69eiI2NFXN01JsEAgFCQkLw0UcfoXfv3mK5x3vvvYczZ84gKSkJy5Ytk8ik0x1I8pJNX19f2NvbY+jQoQCA9PR0ODk5YdCgQVBQUICOjg6uXbsGZ7tJCPNZ1+ZjWL8/cQZZefmQYbPB4/EwZcoU/PHHH8LrHA4H69evx8aNG8XRrEa6dNI/ceIE7ty5g2+++abN/9B69OgBa2trxMXFiTk66k3x8fH466+/xL5x3YQJE3D48GH89NNP8PX1Feu9KOlSVVWFkJCQRs+HpKamQk1NDeHh4bh//z44cnKoq6vDh7ra7Rr+vXHnHlY52iMpcB+01NVwJy0NNjY2qKioEJbh8XhITEwU+zbPXTbp19bWwtvbG9OnT8fEiRPb9V47OzskJyfj5cuXYoqO+q+goCCMHDmyyQH34sDj8fDll19i8+bNzR7fSHVPFy9ehKysbKN/g25ubvj+++9hYWGB58+fI+v332E7lovzSbfbV/f+r+Ey3QbGHwyHn+dylJaVIT8/v9FwTr9+/WBmZoaoqCiRtak5XTbpBwcH4+HDh9i5c2e732tra4u6ujrEx8eLITLqv0pKSoTbU3fWn/5ffvklFixYgEWLFiElJeXtb6C6vBs3bsDY2LjF62FhYRiooQ6VXkro24aT3Foyc4IpNP5/IcF/FxSYmJggMTGxw3W3RZdM+hUVFdi2bRt4PB709fXb/f5hw4ZBV1eXjut3kqNHjwIAFi5c2Gn3ZLFYCAkJgbGxMWbNmtXsxB3VveTl5UFTU7PF68lJSRitPRinrt3EstnTOnwfGRk2esiyoaSkBD09vUbXtLS0xP5vsUsmfT8/P5SWlmLbtm0drsPW1hZxcXF0sk/MCCEICgrCnDlzOv24SXl5eZw5cwZKSkqYPn06ysvLO/X+3Z2k/W5VVVVBXr7lidmMe/eQeDcTPm4LMMXEqMVyb7Pmu4OoqKpudgWZgoKC2A8C6nJJv7S0FN9++y1WrFiBYcOGdbgeOzs75OXldbtDkztbcnIysrKyGDt5TFVVFefPn8fTp08xb9481IroTGWqZZK6ekdVVbXJsasNMjMzUVtbC3NDfXi7dnxJsceeAJy7mYINCz9CTU2N8CzoBmVlZWLfDrzLJf1vvvkG9fX18Pb2fqd6LC0tIScnR4d4xCwoKAjDhg2DtbU1YzG8//77iI6OxrVr1+Dh4SFxPVCqcxgaGuLBgwdNXr9//z4mTZoEGRkZTB5j2KG6CSFY891BnE74FVf9v4WcrCw4HE6TFUCZmZkwNOzYPdqqSyX9J0+e4MCBA1i3bh3U1dXfqS5FRUVMmDCBLt0Uo/Lycpw4cQJLlixh/Olna2trBAYG4scff8S+ffsYjYVihq2tLe7fv9+ot3///n1YWVlh+PDh6KWkhJTMBygsLUPx8xftqnv1dwcRERePiK0b0aunAlIys/D+iBGoqqpqVC4xMRE2NjYiaU+LmNsBQvSWLFlCVFVVSXl5uUjq27VrF+nZs2ezm7RR7+7QoUOEzWaTJ0+eMB2K0KZNmwiLxSKnT59mOpQuq7S0lAAgMTExTIfSxLhx48gPP/xA6uvrSUJCAjE0NCQAmnwN6a9OBMmxRJAcSx7GhBEAJP7gt8LX/vvVXB0ASGhoqPDeSUlJpE+fPqSyslKsbewyPf2srCyEhoZi8+bNInui09bWFpWVlbh586ZI6qMaCw4OxvTp06Gl1frB9J3p66+/xty5c8Hj8TrlkXhKsixevBibN2/G0KFDYWlpiRcvXsDHxwe///678N9DtK8P/jp9RPievGdF6NNLCQY62i3WK0iOFX6d8n099JyamgoXFxdhmb1798LLywsKCgriadz/6zJJ39vbGwMHDsTKlStFVufo0aMxYMAAOq4vBnfu3EFqamqHT8cSFzabjSNHjkBPTw/29vZ4/Pgx0yFRYlZUVAQ/Pz8YGxtj5cqVqKyshLm5ORITE5Gbm4tt27ZhxIgRMDIygpWlJbz8QxoduxqbkorPF82HShvW7ldUVWOD/2FYWVrCyOjfFUB8Ph8GBgbw9PQUSxvf1CUORr916xbGjRuHsLAwLF68WKR1u7i4IC0tDRkZGSKtt7tbvXo1Tp8+jfz8fMjKSt5mr0VFRRg7diz69OmDxMRE9OrV8YdxqMbKysrQr18/REdHw8HBgZEYKisr8fPPP+Po0aO4dOkS2Gw2ZsyYAWdnZ0yfPh0cDqfZ9+Xk5EBfXx+OFmYI9VnXrrkogUAA1+17cOp6EjIyMhg7lU/qe/rk/7dO1tPTa9PWye1lZ2eHe/fu4enTpyKvu7uqrKxEREQEXF1dJTLhA4CGhgZ++eUXPHz4EE5OTqivb/5MZar9mFqyWV9fj6tXr8LFxQUaGhpYsGABXr58CX9/fxQWFiImJgYODg4tJnwA0NHRQUhICMLj4uG6fU+jHn9rKqqq4bp9D8Lj4hESEsLsMaxinTHoBLGxrydJzp49K5b6S0pKGh2cQL27n376iQAgOTk5TIfyVrGxsURGRoZ88sknTIfSZZSVlREA5OTJk51yv4yMDOLl5UW0tLQIAKKjo0O2bt1KcnNzO1xnREQEUVBQINpamuSUrzepSTzf7ARuTeJ5csrXm2hraRIFBQUSGRkpwpZ1jFQP7wgEAhgbG6Nnz55ITEwUWw/CxMQE2traOHbsmFjq727Mzc0hJyeHK1euMB1Kmxw6dAirVq3CgQMHsGbNGqbDkVppaWkIDQ3FzcREZGRkQEAIOBwO9EaNgqmZGVxdXRuNc7+Lp0+fIjIyEuHh4UhPT0e/fv3w8ccfY+HChTAxMRFJrsjJycGypUtxLSEBWupqmMQ1gIGuNpSVFFH+qgLp2Q9xNTUdBX8Xw9rKCj8GBjLbw2/A9KfOu4iKiiIASGJioljv4+PjQ/r27Uvq6urEep/uICsriwAgUVFRTIfSLp6enoTNZpPz588zHYrU6axjBf/55x/y008/kSlTphA2m004HA6ZN28eOXv2LOHz+SJu1b8azsg15nKFZ+SyWSwydMgQekauKNXU1JD33nuPTJ8+Xez3unnzJgFAbt26JfZ7dXXr168nffv2lbpnH+rq6sjMmTOJkpISSU9PZzocqfHmMEi0r0+rwyDRvj7tHgapra0lsbGxhMfjkZ49exIAxMLCggQHB5Pnz5+LuXXNq6+vJ/r6+mT58uWM3P9tJHMWrQ0atk6OiYkR+73Gjh0LZWVlxMbGwsTEROz366pqamrw008/YdGiRa1OlkkiGRkZREREwNzcHDNmzMCtW7cwYMAApsOSaJGRkXB2doazrTUCNni0espUw7GCNmO5WLXrAHg8HgghzR6dSQjB3bt3cfToUURFRaGwsBDvv/8+Nm/eDB6PhyFDhoizWW/FZrMxevRoiV3xJ5Vj+hUVFdDR0cHkyZOF2/KK29y5c1FYWIhff/21U+7XFZ06dQrz5s1DZmYmRo0axXQ4HVJQUICxY8diwIABSEhIgKKiYotlBQIB49tLiEtpaSlGjhyJ27dvC48WfFN2djYMDAxEurTx8ePHiIiIwNatW1FdXQ11dXU4OTlh4cKFMDIykqiN3Hbt2oUdO3bgxYsXEvdvQLKiaSNRbJ3cXnZ2dkhJSWlxFz7q7YKCgmBqaiq1CR94vd/5uXPnkJWVhYULFzbaJTEtLQ0eHh4w5nIhLy8PGRkZyMvLw5jLhYeHB9LS0hiMXLTedpbshx9+iJ5yPRCwwaPdxwrO3rAVl/+XhqqqKsycOROHDx+GlZUVhgwZgm3btmHMmDHQ1NTE48ePsX//fnC5XIlK+ACgr6+Pf/75B48ePWI6lCakLumLauvk9rK1tYVAIMDVq1c77Z5dSV5eHi5fvszYFsqiZGhoiKioKPz888/YtGkTcnJyYG1lBS6Xi9MnjkOvf1/4rnBB8Bee8F3hAr3+fXH6xHFwuVxYW1khJyeH6Sa8k7edJXvs2DFUVlbin8pKhP5yqV11V1RXQ193GPzXrwbwenuVJUuWQEZGBqGhoSgsLMS1a9dQV1cn0b+Lo0ePBgCJHOKRuuEdLy8v/PDDD8jNzX3nnTTba+TIkZgwYQKCgoI69b5dwZdffol9+/bh6dOnUFJSYjockfDz88Onn34KjpwctNRUsXvNEthPGAdZWZkmZevq6nHuZgq8/EPwrOw5QkJC4OTkxEDU7y4mJgbLly9HcXFxs9c9PDxw5uQJzDAbgz/yn+Cq/7cdug/b1A4qvXph1ty5CA0NbXTN1dUV9fX1OHLkSAvvZhYhBKqqqvD09Hznbd5FTap6+o8fPxbZ1skdQU/T6pj6+nocPnwYTk5OUpPwS0tLoa6u3urRdaqqqmCxWHC0moD0owGYYzm+2YQP/DtRmX40AI4WZuDxeIiMjGxSjs/nY/DgwRK92dvbzpJNTkrCJK4+/qmsfKezZAHAQHcYMu/da/J6Z5wl+y5YLBb09fUlsqcvVUl/69at6NWrFz777DNG7m9nZ4fHjx/j999/Z+T+0iouLg5PnjyRqqGd/45Zh4WFgcViNfpydnYGIQS7PdxbXZnyJkUFeZiMGoGe8hzweDzo6ek1Sl4cDgfr16/Hxo0bxdEskXjbWbKZ9+9DWUkRJ64mvtNZsgAwdEB/3MvMbPK6lpYW8vPzm5w8JUkkdQWP1CT9hq2Tvb29RbZ1cnuZm5uDw+HQXTfbKSgoCAYGBuByuUyH0ibNjVnPnz8fz549E36ZmZpCgcPBBINR6N+vb5vrPn7lOj7zC8Q3q5ZgoLoayl+8wNSpU5Gfny8sw+PxkJiYiKysLJG2S1RaO0tWIBCAz+cj9JdL73yWLAAoynPA5/ObJHcFBQXhvSSVvr4+srOzmxyUwjSpSfre3t4YNGgQVqxYwVgMPXv2hLm5OT1Nqx0KCwtx7tw5LF26VOJWWLTk4sWLkJWVhampqfA1BQUF9O/fH/3790dBQQGSkpNRW1eLpbOmtqvufVExcLO3xWpHe+z3XI4nBQVQU1PDoUOHhGX69esHMzMzREVFiaxNotTaWbINfwWPHfX+O50l26Cimt/ssYJlZWXo2bOn2Peefxf6+voQCATNHsHIJKlI+rdu3UJMTAy2bdvG+EM9dnZ2uH79usR9ekuqsLAw9OjRo9mHbCTV28asw8LCoKykBEUFBThaTWxzvTW1tUj9Ixs2/9/7nTnBFFrqaujduzeSkpIalZXkMevWzpK1srKChro6tNT6ieReec8KMVpPr8nrmZmZItunR1xGjRoFFoslcUM8Ep/0yRtbJ/N4PKbDga2tLaqrq3Hjxg2mQ5F4hBAEBwdj3rx5UFFRYTqcNnvbmHVyUhIAAicbKyjIt70TUvLiJerrBdDo+/p7ISsrg0lcA5SWlKCwsLBRWS0trVYnkZnU2lmyU6ZMwbTp0xF36w6eFBW3+yzZV5VVuPtnLu7+mQsAuPNnLt7T0Wk0/AV00lmy70hRURHvvfce7jUzEc0kiU/6ly5dQkJCAnbu3AkZmeZXRnSmDz74AFpaWnSIpw0SEhKQm5srcadjvU1rY9YAkHHvHspfVWCJvW2H6n9zlMtAVxuFRUVNhr4UFBRQWVnZofrFbfTo0TA2NsaJEyeEr508eRLFxcWIiIh4vZ6+tBSDZy+EidsnwjJ5zwrBNrVDQlp6i3X/9vufMFq8GkaLX6/TL39VgePHj2PLli3CMgUFBUhKSoKrq6sYWidakriCR6KTvkAgwKZNmzB+/HjMmDGD6XAAvF6K1bB0k2pdcHAwhg8fjokT2z4EIglaG7MWCASora3FIA01cN/XbV+9fXpDRoaNwtJ/61ZWUkR9fT00NDQalS0rK4Oamlr7g+8kPj4+8PPzE06wfvXVVyCvN3AEIQRWlpbQ1tJEZmSg8D1tOUvW0sgAguRY/BN/BtpamrCytAQhBGFhYcIy+/fvh4uLCwYOHCi29omKJK7gkeikf+LECdy9exfffPONRE0C2tnZ4cGDB/T81FaUlZUhOjoa7u7uEvWza4uWxqwBoLy8HABgPHJ4u+uV69ED3BG6uPy/O//W96oCLBYLZmZmjcpmZmbC0NCw3ffoLNOmTcPy5ctRUFDQ7PXAoCA8K3uOVbsOCD8Y2nqWrEAgwKpdB/Cs7DkCm3kQUl1dHdu3b3/3RnQCfX19FBcXo6ioiOlQhCQ26dfU1MDb2xszZszAhAkTmA6nkcmTJ4PNZtPefivCw8NRX1+PRYsWMR1Ku705Zl1fX4+0tDR89913mD59unBnTU6Pjm1Q6+nkgJCzsTh8Lg5ZefkIPnsRLBaryao0aRizXrt2LQYNGtTstTePFVy8/TtUVFXjm1Vu8HKe12qdbTlW0MvLq8lfRpJKX18fgGRtxyCxWyuHhITg4cOHOH36NNOhNKGiogITExPExcVJ3Xh1ZyCEICgoCLNmzZKaX84GhBDIyMhg4MCBsLa2xqNHj/D8+XMoKChgwoQJwvYkpj9AXV19oydw854VQtvBBfEHv4WlkUGz9c+fbIHS8pfYfjgCz0rLQAgwa9asRtsBJycno7y8HI6OjuJtrJg5OTkhNTUV+/btRVLGA+z2cMfMCaYtblNx9mYyNvgfxrOy54iIiJDabSrepK2tjZ49eyIjIwNTpkxhOhwAEpr0KyoqsG3bNjg7Ows3LpI0tra28PPzQ11dncQe7s2U27dvIzMzE7t372Y6lLcihODhw4e4du0a4uPjER8fj6KiIsjIyODvv//G+vXrMXnyZJiYmAiXC6elpYHL5eLczRTMsRwvrKstY9YAsGquPVbNtUdMwk04fr6jyd4se/fuhZeXl0SvQW+LiooKnDx5EmZm49FDVhaOn+9o07GCcZJyrKAIsNls6Onp0Z7+2zRsnbx161amQ2mRnZ0dtm7ditu3bzcZj+3ugoODMXjwYInp2fzXkydPGiX5/Px8sNlsGBsbw9XVFdbW1hg/fjyCgoLg4ODQZAjDyMgIVpaW8PIPgc1YrnALhraOWQOvhzHW+QVCRoaNwMBA7NixA6qqquDz+TAwMICnp6dY2t6ZvvrqK/z999+4du0atLW1hWfkpiQn43j8T+DzXz94NVpPD3M+mi/SM3Ilib6+vmTtpdTZR3W9TUlJCenduzf55JNPmA6lVXV1dURFRYVs2bKF6VAkysuXL4mioiL56quvmA5F6O+//yYnTpwgK80IUKQAACAASURBVFasIMOHDycACABiYGBAPD09yblz58iLFy/aVWd2djZRUFAgC+0mkbpfLzR7BGBLX3W/XiAL7SYRBQUF8sUXXxBlZWXSp08f4ufnR2pqasT0Xehcd+/eJTIyMmTnzp0tlqmvr+/EiJjj5+dH5OTkSG1tLdOhEEIk8IzcdevWESUlJVJUVMR0KG81b948MnbsWKbDYNybv7xBQUGExWKR/Px8xuJ5/vw5+fnnn8natWvJ6NGjhUl+xIgRZOXKleTkyZOkuLj4ne8TGRlJWCwWWWg3ifwTf6ZNCf+f+DNkod0kwmKxhOfAFhUVkaVLlxIWi0U++OADcvny5XeOjUl1dXVk7Nix5IMPPhDrgeTS4tq1awQAuX//PtOhEEIkLOnn5+cTDodDvvzyS6ZDaZOQkBDCZrNJSUkJ06F0qtTUVLJmzRrCNTIiHA6HACAcDodwjYyIuro6MTMz69R4Xr16RWJjY8nGjRvJmDFjCJvNJgDIkCFDiJubGwkPDycFBQViufebB3+f8vVu9eDvU77erR78nZqaSsaPH08AkNmzZ5Pc3FyxxCxuAQEBBABJTExkOhSJUFJSQgCQY8eOMR0KIUTCkr6bmxtRVVUl5eXlTIfSJo8fP5aoH6a4ZWdnEytLSwKAaKmrkcXTJpO9a5eT4C88yd61y8niaZOJRt8+BACxsrQk2dnZYomjurqaJCQkkC1btpAJEyaQHj16EACkf//+ZMGCBSQ4OJg8fPhQLPduzn+/L4umTiZ7PllGgr/wJHs+WUYWTZ1MtNTVCABibWXV6vdFIBCQyMhIoqWlRTgcDvniiy/IP//802lteVdPnz4lysrKxN3dnelQJIqWlhb54osvmA6DECJBSf/BgweEzWaT/fv3Mx1Ku4waNYq4uroyHYbYvdmjjfb1abVHG+3r02qPtr1qa2tJcnIy2blzJ5k8eTKRl5cnAEjfvn3J3Llzib+/P3nw4AERCAQiaGnHNfwFZMzlNvoLyJjLJWvWrCGpqaltruvVq1fE29ubcDgcoqmpScLDwxlvX1vMnz+fqKmpkdLSUqZDkSh2dnZkxowZTIdBCJGgpD9nzhwyZMgQUl1dzXQo7fLZZ58RTU1NqfiFbElJSQlRU1Mjf/31V7PXIyIi3mnsOiIiosV7Gxsbk+jo6Eav1dfXkzt37pA9e/aQ6dOnk169ehEARElJiUyfPp3s2bOH3LlzR+InAkUR38OHD4mDgwMBQMzMzMhvv/0mgsjEIzY2lgAgR44cYToUibNhwwYyZMgQpsMghEhI0k9JSSEAyE8//cR0KO126dIlAoBkZGQwHUqHrVu3jri5uQn/PzQ0VDj5+d+vwvPH2rxKJf7gt0RLTVX43tOnTze5988//0x0dXVJZmYm8ff3J3PnziV9+/YlAIi8vDyZNGkS+frrr0lycnKXWdnSEVevXiV6enqExWKRJUuWSNxCh4qKCjJs2DBibW0t1R0gcQkPDycA2r1KTBwYWacvEAiEhyIQCds6ub0mTpwIBQUFxMXFSeyDZK1pOCXqwoULwtfmz58POzs7AMBcBwcU5D2E7kBN1NbVQb1vn7bXza/BAhsrHLl4BUVljTcw++uvvxAfH48rV64gNzcXenp6kJWVxbhx47BmzRpYW1tj7Nixre522Z1YW1vjzp07+OGHH7BlyxacPHkSX375JdasWQM5OTmmw8OOHTtQUFCA2NhYqdtrqTM05IZ79+4xv61MZ3yytLbaY+bMmQQAOXv2bGeEIhZ2dnZk8uTJTIfRIdHR0URVVbXZa7/99hsBQA5v/oz0kJUlP21Z36716A1fp3y9CQDi5ORE3NzcyNChQwkAwmazibGxMdHT0yOTJk2SqglLJpWUlJCVK1cSNptNRowYQS5cuMBoPJmZmURWVlains2QNHw+n8jKypKAgACmQyFi3XAtJycH1lZW4HK5OH3iOPT694XvChcEf+EJ3xUu0OvfF7duvj4daN/evfg/9s48Hsr1/eMfxhhbIVtSp41KC4VkaaF9OVqklbKklKWT0p7qezrl276QRJaEClFpk1NxKtooUTkRxVFaJEnWmfv3Rz/zbY4hy5hnRvN+veZVnud+7vvzjHHN/Vz3dV9XTk5OW8ppMyZMmIC//voL5eXlVEtpNo1ViQoJCUFXNVW8/1QKGSlGs6pEfc/U4d/KDp48eRL379/HtGnTcPbsWXz48AH379+Hs7MzXrx4ATk5uRbfx8+EkpISfH198fDhQ6irq2Py5Mn49ddfkZ2dzXctLBYLS5cuRa9evbBu3Tq+jy8sSEpKQltbWyDSMbSZeyciIgKOjo5Q76SIM16esBhu1GCipbhbd7DaJxA6OjoIDAwUukRLEydOhLu7O5KSkjB58mQAnC4sQaaxKlEpyckYo6+D45cSml0l6nvqfu89evTg+qHX0NBAfn6+0LxngoKOjg6uX7+OM2fOYNWqVRgwYABWrFiBTZs2oWPHjnzREBQUhFu3buH69euUlzIVdAQlt36z/8KKi4uhqqraaCm3iIgI2NjYwGqUCdJP+GKGmSlXgw98MwgzzEyRfsIXVqNMYG1tjYiICK5thw4dipiYmOZKbnP69u2Lzp07Y/369TDQ14eUlBRoNBqkpKRgoK8PNzc3pKWlUS2TK41Vicp88gTycrJ4mpff4ipR3/PPP/9wPS4tLQ0Wi4WqqqpWj/GzISYmBisrK2RlZWHTpk3w8fFB3759ERISws5j31a8e/cOa9aswcKFC2Fubt6mY7UHdHR0kJGRAUIIpTqabfS9vLxgYWGBHj16sI/99ttv0NfXB4PBgLa2NhwdHWEzYTSCPVexk1H9iIirN5D7ugh0Gg3W1tYwNTXFvXv3ONp4enpi3bp1bf5hbg45OTkYM3o0ioqK8PafAq4urNjI09DX18doc3OBc2E1VCWqzgin/Z2DwVq9m10lihu1tbVcf3cfP36EjIyM0GeVpBJpaWls3rwZWVlZGDVqFOzt7WFsbIy7d++22ZgeHh4QExPDnj172myM9oSOjg7Kysrw6tUrSnU0y+jXRXr8O4c8IQQODg6YM2cO/ikoQBclRfiucWvWo3pS2mPMG2+GG7670FVVBbm5uRg/fjxHZZ4pU6agtLRUYIqXREREQEdHB6+yn+OMlycKzoUh2NMDK+bOgIPFBKyYOwPBnh7IOxOCM16eeJX9HDo6Ojh58iTV0tk0VCVKXFwckpKSuP/0ORx4MMsHAAkJCa6ficzMzHaZXZEKfvnlF5w6dQpJSUmoqqqCkZERbG1t8ebNG56Oc+3aNZw4cQK7d+8W6LKOgkRdBA/VLp5mGf3Lly9DQkICxsbGHMcPHToEFxcXSElJ4Ut5OXa5LGryDL+OsP+shfNMCxgP6o8D7k4oKipCbW0trl27xm5Do9EwefLkNjeaP5ML6/sqUf9GvXNn1DKZsJ7Qskf3L18r8Oj5Czx6/gIA0LlzZzx69Aj5+fkc7YShSpSwMXLkSKSmpuLIkSO4ePEi+vTpg507d/LEhVZZWYlly5ZhxIgRQlGcXFDQ0NCAoqIiMjIyKNXRLKPfWKQHADx69Ah0CQlYDDdqlaipw42hrqyEyspKdOrUieOcoaEhbt682ar+f0RbubBkpaVgMXwYOspIw9raGpqamvUqg/HbhTVo0CAYGBggMjKy3rmq6mpI0unoICNT79zLN0UQN56IxLT0Bvt+kPUcerYu0LN1AfDNpz9kyBBs3ryZ3aawsBDJycki49EG0Gg0LF26FNnZ2XBwcMDGjRsxcOBAxMXFtcqv7OXlhZcvX8LPz08Uk98MxMTEoKOjI1wz/cYiPQDgn4ICyElLNTjjbSoSEjR0lJGGhIQExo4dy3Hu+0iPtqAtXVgpGU8xb8t/sWKeJbqqqoCwWJg9ezaH35UKF5anpycOHjxY7z29ePEiKqqqEHfrTr1rmlIlykxPF6yUK4j2+lYZKjU1FYQQhISEsNscOHAAdnZ26Nq1K29uRkQ9FBUVcfDgQaSnp6NHjx6YOnUqJk2ahKysrGb39ffff+O///0v1qxZg/79+7eB2vaNIETwNNun39gOyXfv30OaB2Fbu8KikP/2PZhMJi5cuICEhATcu3cPz58/R2VlZZtGerSlC+vg6bMYN1QPWxbZ4IC7E3Lz8jB06FAcOHCA3YZfLqzvmTx5MpycnDjWTwDOClHlFZUc55paJaq8ohJrfIJgbmbG1W+vqqqKbdu2tf4mRPyQAQMG4OrVq4iNjcXz588xaNAgrFy5Ep8+fWrS9YQQLF26FN26dcPGjRvbWG37REdHh23HqKJZcfoNRXoA36I9mEwmaK2Ms94THg2v46ewar4l/gg+iVmzZnFtp6CgAHl5efa/da9//9xYGzqdXq/ftnRhpWQ+w4o5MwB8c2FpqKqARqMhOTmZo52hoSF27drV7P5bw2+//cb1uH9AAHR0dLBslzdCPFexn2z+6+zwwz5ZLBacd3njzccSxAcEcG2zevXqlosW0WzExMQwffp0TJw4Efv27cP27dsRFhaGHTt2wN7eHjRaw0/poaGhSExMxNWrV0WRVi1ER0cHLBYLT58+pSx4oVlGf8iQIQgLC+N6TlxcHDQaDcxWuF12h0Vhe8hJXDmwHSkZz8BgMPDmzRuUlpayX4cPH8ajR4/g5ubGPvbp0yf2/1+/fs1x7OvXrw2OJy0tXe+LIDMzE3Jycli9ejXXL4+8vLwWu7CKikug1kkRwDcX1hh9XdzMeoGioiKOdoK0WUlTUxMBAQFYYGMDQgj81i5v0hNOeUUlnHd5Iyz+OsLDw9tNoev2gpSUFDZs2ABbW1usXbsWixcvxpEjR3Do0CGYmprWa19cXAwPDw/MmzdPYGsfCwMDBgwA8C2CRyiM/oQJE7B+/XqUlJRAUVGRfTwnJwdfvnyBoqIivlR8ZUdr9O/5CyS5zKa5sSssCpv9QxH+n7Xooa6G/Sdj0K9vX9DpdI4F1c2bN8PGxgaurq5N6rempgafP3+u9+XA7QujtLQUVVVVqK2txfnz59nH/v0o1kVZqUljc+P7dS9drV6ISEisN7v6frOSIMyonj17BgIgOvE2UjKzsMvVAVOHGze4w/r8rRSs8QnCm48lCA8PF7od1j8TGhoaCAsLg7OzM5YvX47hw4dj/vz52LlzJ8c6y5o1a1BbW4t9+/ZRqFb4kZOTQ+/evSmN4GmW0f8+0sPJyYl93NHREUlJSeyf66I1cmNC0EO9MwBA3HgigjathN0U7qF5R87EobqmBrM2/MFxfM+ePdi6dSuA/0V6NPS0wQ06nQ4lJSUoKTXNUFtbW4MQwhFSWVVVhdLSUpSUlKBfv34tdmF1VlJEUfH/3GPycrKora2ttzguSJuVoqOjsX37dnh5ecHKygpLFi+G1fo/oKGqgjH6utDV6gV5OVmUfilHenYurqWmo/Dde4w2N0e8v79ohi8kmJiY4N69ewgODsaGDRvQt29fbNiwAatWrcK9e/cQFBQEPz8/dO7cmWqpQg/VETzNtl7cIj0SExNBCEFqaioA4IyXJ1gpV9gG/+WbIkjQaDDVGdBgv3mxoWClXKkX7VFn8AH+RHpw26zEYDCgqqqKvn37tsqFZTxQG3/ef8j+ufRLOcTExGBiYsLRTlA2K2VkZMDOzg6zZ8/G2rVroampies3biA1NRUzZs/B03cl2HD0OBx37MeGo8fx9F0JZsyeg9TUVFy7fl1k8IUMcXFxLFq0CM+fP8fSpUuxdetWaGtrY/78+TAyMsLixYupltguoDqCp9lGv6FID6DhaI8rKalYPG0StLpp/LD/xqI9+BHp0dBmpZycHDx69Oj/XVj/23RUXVPT5L6Xz56Oq/dSsfNEJLJeFiD8ynWAEKxYsYKjnSBsVvr48SOmTZsGTU1NBAUFccRj6+npwdvbG/cfPEBlZSWYTCYqKytx/8EDeHt7C8QXloiWIy8vj7179yIjIwN0Oh2FhYUghODZs2dUS2sX6Ojo4N27d3j79i0l44sRHmf/ycnJgY6ODqxGmSD4u2iPpsBisWC/bS+ik5Lx+PFjymaKxsbGsLOz43BhmZmZcbiw6miOCwsAoq/fhOfR48h9XQRCCMaNH89RwKSwsBA9e/ZEbm4uZbHrtbW1mDRpEh4+fIgHDx5wrKmI+HnIycnBgAED8Ouvv+Lx48fIy8uDs7Mz/vOf/3Cs6YloHtnZ2ejTpw8SEhLq7UPiBzwPDdHU1ERgYCDC4q/DftveevHdDVFeUQn7bXsRFn8dgYGBlLoG2sqFBQBWo0fg2eljOLltHWqZTPzxB+cahiBsVlq3bh1u3LiByMhIkcH/SSGEwNnZGerq6ggNDUVmZiZ27NiB4OBgaGlp4ciRI2AymVTLFEp69eoFaWlpylw8bRIPOG/ePISFhSE6KRm6C5wRk3gLtbXcPyC1tUzEJN6C7gJnRCclC0S0R3t3YTVGeHg49u7di71792L06NGU6RBBLadOnUJCQgJ8fX0hKysLBoOBNWvWIDs7GxYWFnB2doaenh7Xp18RjUOj0TBw4EDKjD7P3Tvfk5OTgyWLF+NGYmKToj2OCkm0R2tdWLa/70H0jVvIfPJEoO43NTUVw4cPx5w5cxAcHCzKq/KTUhelNnLkSERFRXFtc+/ePSxfvhx3797FrFmzsHv3bnTv3p3PSoUXR0dHPHz4kO054Cv8qMlYVyPXQF+fSEpKEgBEUlKSGOjrE1dXV5KamsoPGTwlIiKCiImJkQUTx5Cy62ebVCu27PpZYjNxDBETAwFA/vjjD8Jisai+FUIIIW/fviXdunUjQ4cOJRUVFVTLEUEhTk5OpEOHDqSwsLDRdkwmkxw/fpx07tyZSElJkS1btpDy8nI+qRRuDhw4QBgMBqmpqSFMJpOvY/PF6H9PTk4OAUCuXbvG76F5Tnh4OJGWlia9NLqQaK9NpPrmRa7GvvrmRRLttYn00uhCpKWlSXh4ONmyZQsBQGxsbCg3stXV1WTEiBFETU2NFBQUUKpFBLUkJycTAMTb27vJ13z+/JmsXbuWSEpKkl9++YWcPn1aYCYzgkhqaiqZPn06kaDR2JNgBoNB9PX0+DIJ5rvRLy0tJQDI6dOn+T10m5CdnU3MzcwIAKKhqkIWThpL9i5fQo5tcCd7ly8hCyeNJRqqKgQAGW1uTrKzs9nXnjx5kkhJSRETExPy9u1byu7B2dmZ0Ol0cuvWLco0iKCe6upqMnDgQGJgYEBqa2ubfX12djaxsLAgAMioUaPIo0eP2kCl8MJpK5SJ7eSxZN9vTuTYBney7zcnYjv5f7bC3MyMw1bwEr4bfRaLReh0OvHx8eH30G3K9y4sBoPB/vb+kQvrzp07RE1NjXTv3p08fvyYz6oJCQgIIACIn58f38cWIVjs3LmTiIuLk7S0tFb1c/nyZdK3b18iLi5Oli5dSt6/f88jhcLL916BM16ejXoFznh5sr0CERERPNfCd6NPCCHq6upk69atVAzNN5rjp8vPzye6urpETk6OxMXFtaEqTpKTkwmdTidOTk58G1OEYJKbm0ukpaWJu7s7T/qrrq4m+/btIx07diQKCgrk0KFDpKamplV98tv3zSvCw8NbtP63YOIYIiYmRsLDw3mqh5IUjioqKvjw4QMVQ/ON5kT0dOvWDbdu3cKYMWMwdepU7Nu3r1WVjZrC69evYWlpCUNDQxw6dKhNxxIh2BBC4OrqCiUlJfz+++886ZNOp8Pd3R3Z2dmwsrLCb7/9hsGDB3OUP/0RaWlpcHNzg4G+PqSkpECj0SAlJQUDfX24ubkhLS2NJ1pbS2PlVbOzs1tcZS/YcxVsJoyGo6MjcnJyuLZrSXlVSoy+srIy3r9/T8XQAoucnBxiYmKwZs0arFq1CkuWLEF1dXWbjFVZWQlLS0vQaDRER0dDUlKyTcYRIRycOXMGly5dgo+PD+Tk5Hjat6qqKgICAnD//n3Iy8tj7NixsLS0RF5eXoPX5OTkYLS5OfT19REbeRoDO3eC11I7HNvgDq+ldhjYuRNiI09DX18fo83NGzSI/IJbeVUACAkJwZAhQ1BZUYH4u6lYvu9Is/oNjItHTuFrVFVWQltbG2PHjsW9e/c42rSovCpPnxuayOzZs8mYMWOoGFooCA4OJnQ6nZiZmZEPHz7wtG8Wi0UcHBwIg8Eg9+7d42nfIoSPT58+EXV1dTJt2rQ2H4vFYpHw8HCioaFBGAwG2bhxIykrK+NoI0i+76bw9etXoqCgQJKTkzmO7927l6iofFuUPezhQjLC/ci5XVub5Nqpe80fb058PFzIbjdHAoBMnTqVyMvLk3/++Yc9Tm1tLVFVVSWXLl1qsmbKZvrt3b3TGuzs7HDt2jVkZGTAyMioRbVMG+Lw4cMICgqCv78/hg4dyrN+RQgnmzZtwufPn+Ht7d2m4xQXF0NNTQ0mJibIysqCh4cH9uzZg379+iEiIoKdztzGxgZWo0yQfsIXM8xMGyxWJCFBwwwzU6Sf8IXVKBNYW1tzpEP/npa4QJoKt/KqJSUl2LRpE0xMTNBVTRWLp03GgF49YDGiedX2wv6zFs4zLfDb7BnQUFVB165dwWKxOFxkLSmvKvLpCygjRozAvXv3ICkpCSMjIyQkJLS6z8TERKxYsQIrVqzAwoULeaBShDBz//59HD58GNu2bUO3bt3adKzvXSBycnL4448/8PTpU6ipqcHa2ho0Gg3W1tbo002j2b5vi+HD0FFGGtbW1tDU1ERsbCxHmxa5QJoIt/KqCQkJYLFYSH/0CGVfvqCnpS3mbNyOgrctc2nXVdlLSU5GTU0NOnXqxHHe0NAQN2/ebHJ/lPr0SRsvVgo7vXr1QnJyMoyNjTFp0iT4+vq2uK9Xr15h1qxZGDVqFHbv3s1DlSKEkdraWixZsgS6urpwc3Nr07EqKioQGBgIR0dHjuNnz55FUVER1q9fDxlpaagrdcLvSxY2KwgiJeMp5m35L1bMs0RXVRUQFguzZ8/G3bt32W2mTJmC0tJSxMfH8+ye6nj58mW9Iki5ublgsVh4lZ+POePMELVjIz5+LsP45eublYr9e3S1eiH98WNoaGjUy8z5fXnVptCsylm8QllZGdXV1fjy5Qs6dOhAhQShQV5eHnFxcfDw8ICLiwuePXuG/fv3Q0Ki6b+6r1+/YsaMGZCTk8Pp06ebda2I9om3tzfS09Nx586dNv88NOYCiYuLg4KCAry8vBDquQozzOrX522Mg6fPYtxQPWxZZINBvXvAav0fMDY2xoEDB9guj+9dIJMmTWrVvVRXV6OkpIT9ys/Px5cvX+Dt7Y2PHz+ipKQESUlJqPl/427Yvy+MBmoj4vd1UP91Pm6kpmOCkcEPRqlPcsZTsFgsREdHQ0qK8ymoueVVKfnrV1FRAQB8+PBBZPSbgISEBA4cOABtbW24uLggOzsbp0+fhry8/A+vJYTA0dERf//9N5KTk6GsrMwHxSIEmYKCAnh6esLFxQWGhoZtPl5jLpDCwkLMmjULNHFxRFy9AQPtPuimptLkvlMyn2HFnBkAgKnDjaGhqgIajYbk5GSOdoaGhti1axcAgMlkssuf1hnqun9/9P/y8nKuOm7fvg1FRUV06tSJHXVHExfH5/KvAAAVRQUoy3dEfgtcPHvCo3Hx9j3Q6XQMHjy43vnmllelbKYPAO/fv0fPnj2pkCCUODk5QVNTE1ZWVjA2NkZcXBx69+7d6DV79+7FyZMncfr0aejq6vJJqQhBxs3NDR07dqxXy6GtaMwFsmPHDigpKcG4nyY+lX3B+OXrkR52BJJ0epP6LiougVqnbwVd6nzfF++m4VNpKZycnNgGOzc3Fy9fvoSCggI+f/7M1bVMo9HQqVMnKCoqsg24hoYGBg4cyD7+7/OnT5/G2bNnOdIkP3/+HH379kWvXr2Qnv0CAPCxtAwfSj+je2fVZr13u8OisD3kJMz1dPG+hrv7prnlVSk1+qLF3OYzZswY3LlzBxYWFhg2bBhiYmIwcuRIrm3j4+Oxdu1arFu3DrNnz+azUhGCyLlz53Du3DlERkY26UmRF1RUVNRzSbBYLNTU1ODQoUOYOnUqnKeMgfUE8xa5QL7PAK6r1QsnLv8JiIkhNTWVbaC1tbWRm5uL1atXQ01NjasBl5OTa3Y68VmzZsHLywslJSXsamJ9+vTBtGnTcPPmTVxM+YBHz19gs38o+nXvCnP9pk+8doVFYbN/KEI3r8aKA0cxaepUFBUVQU5OjmM/RXPLq1K2kAuIjH5L6du3L+7cuQMdHR2MHTsWwcHB9drk5ORg7ty5mDBhAt9mdCIEm7KyMri6umLy5MmwsrLi27jKysr1ak6rq6sDAPr164eqqip0lJVpkQuks5Iiior/17e8nCwIvu1yf/DgARISEhAZGYkFCxZARkYGGzduhKOjI2bOnAlzc3MMHjwY3bt3R4cOHVpUP2LQoEEwMDBAZGQkx/HQ0FCMGDECH0o+YeRSD9AlaLi8fzvo362fiBtPRMjFqw32feRMHKprajDXcweKiosRHBwMdXV17Nmzh92msLAQycnJsLe3b7JmSow+g8FAhw4dRLtyW0GnTp0QHx8Pe3t7ODg4YPXq1ezydWVlZZg+fTpUVFQQEREBGo17rLOIn4stW7aguLgYhw8f5muBnCFDhuDp06ccx0xNvy3YZmdng8Fg4HP51xa5QIwHauPP+w/ZP5d+KYeYmBhMTEw42jXXBdIcuJVX7dixI86ePQtzMzOodlJE6JY1HGsVTSmvmhcbirLrZ9FLowvMzcxAvuVKw9atW9ltWlJelRKjD4g2aPECOp0OPz8/7N+/H/v27YOlpSU+f/4MW1tb5Ofn49y5c1BQUKBapggB4OHDhzh48CC2bNnC97rHEyZMwJMnTzhm+3UukN9++w09undHYlo67LbtabYLZPns6bh6LxU7T0Qi62UBwq9cBwjBFO75yQAAIABJREFUihUrONo11wXSHBorr+ofEIA3H0vgvMub40uhKeVVWSwWnHd5483HEvgHBHBt05Lyqm1aLrExDA0Noauri4AGbkZE87h06RLmzp0LGRkZvH37FmfPnsW0adOoliVCAGAymTA2NkZFRQXS0tJAb+IiKS8xNjaGnZ0dnJyc2Mc+f/4Md3d3hIeHo7q6GlNHGOHQSmeOGbG48UQEbVoJuykNG+zo6zfhefQ4cl8XgRCCcePH49KlS+zzhYWF6NmzJ3Jzc5s1I+YVJ0+ehLW1NWwmjIbvGrcmbTwrr6iE8y5vhMVf53ndcMpm+qJdubxl8uTJ2L59O96+fQtZWVmoqalRLUmEgHDkyBHcv38fR48epcTgAw27QAIDA5GcnAxCCBZOGttsFwgAWI0egWenj+HktnWoZTLrrWG1xAXCS+bNm4ewsDBEJyVDd4EzYhJvobaWybVtbS0TMYm3oLvAGdFJyTw3+ACFM31bW1u8ePECt27domL4dsezZ88wbNgwDB8+HKWlpUhNTUVQUBDmz59PtTQRFPL69Wv069cP8+fPh5+fH6VaDh48CEtLS64pH0abm+NV9nOkn/Blz4T9Yi4i40UeDq92/WHf5RWV0F3gjO5afXD9xg2Oc7t378bChQspnwjl5OTAduFCJKekQF1ZCeOGDoGuVi/Iy8mi9Es50rNzcS01HYXv3mO0uTmO+vtDU1OT5zooM/qrVq3CxYsXeZpM7Gfl06dPMDQ0BJ1Ox507dyApKYklS5YgNDQUnp6e2Lp1a7O2totoP8yaNQt//fUXsrKy2CGFgkhOTg50dHRgNcoEwZ6rmvV5ZbFYsN+2F9FJyXj8+HGbGEpesWPHDvz++++wtbVFWmoqMjIzUVVVBQaDgUEDB8LI2Bj29vZttugMUBSnD4gWcnkFk8mEtbU13r9/j/v377N3OIeEhEBbWxvr169HVlYWQkJCICMjQ7FaEfzk0qVLiI6ORnh4uEAbfADQ1NREYGAgrK2tAaDFvm9BNvgsFgtBQUGYM2cOjh49ynGcr5OyVqSSbhUBAQFETEysRQWYRfyPDRs2EHFxcXLlyhWu52NiYoiMjAwxMDAghYWFfFYngiq+fPlCunfvTsaNG0dYLBbVcprM9/n0o702NZpPP9prE+X59JtDYmIiAUCSkpIo1UGZ0Y+NjSUAyLt376iSIPRERkYSAGTnzp2NtktLSyMaGhpEQ0OjwQLtItoXa9asIQwGg2RnZ1MtpdlkZ2cTczMzAoBoqKqQhZPGkr3Ll5BjG9zJ3uVLyMJJY4m6shIBQEYMHy4097hw4UKiqalJ+ZcwZUb/5s2bBAB5+vQpVRKEmvT0dCIjI0Pmzp3bpA9RYWEhMTAwINLS0uTMmTN8UCiCKh4/fkwkJCTItm3bqJbSKlJTU4mrqysx0NcnDAaDACAMBoMY6OsTR0dHwmAwyNatW6mW2SQ+ffpEpKWlyfbt26mWQp3Rz8rKEohHHWHkw4cPpGfPnmTw4MGkvLy8ydeVl5eT2bNnEwBk+/btlM84RPAeJpNJjI2Niba2NqmsrKRaDk9hMpkcP7u4uBBlZWXy9etXihQ1naNHjxJxcXGOUodUQemOXECUf6e51NbWYs6cOSgrK8PZs2ebtTgrIyODU6dOYcuWLdi4cSNsbW1RVVXVhmpF8JuAgACkpKTAz88PDAaDajk85d+Lne7u7iguLkZoaChFippOUFAQJk6cCA2Nhnfg8g2qvm1qa2uJuLg4OXr0KFUShBJ3d3dCo9HIjRs3WtXPyZMnCYPBICYmJuTt27e8ESeCUoqKioiCggKxt7enWgrfmDlzJtHS0qr3FCBIZGZmEgAkOjqaaimEEApn+nW5q0Uz/aZz4sQJ7N+/H/v374eZmVmr+po7dy6SkpLw4sULDBs2DJmZmbwRKYIyVq5cCQkJiZ+qHKaHhweys7MRFxdHtZQGCQoKgrKyMiwsLKiWAoDCNAzAt1QMokybTePBgwdYvHgx7Ozs4Or64x2KTWHYsGG4d+8e5OXlYWxsjIsXL/KkXxH85+rVq4iIiMCePXugpKREtRy+YWRkBFNTU450w4JEdXU1Tpw4gQULFkBSUpJqOd+g8jFjxIgRxMbGhkoJQkFRURHp2rUrMTQ0JBUVFTzvv6ysjEydOpWIi4uTffv2iRZ4hYyvX7+S3r17EzMzs5/yd3f27FkCgKSkpFAtpR5nzpwhAEhGRgbVUthQOtMX7cr9MdXV1bCyskJtbS1iYmLqVSDiBXJycoiNjYWHhwdWrlwJJycndp1PEYLF9wnL6tixYwcKCgpw5MgRvubJFxQsLCygpaWFvXv3Ui2lHkFBQRg6dCgGDhxItZT/QeU3zpIlS4i+vj6VEgSeZcuWETqdTm7fvs2X8YKDgwmdTidmZmakuLiYL2OKaJi6WHV9PT2OWHV9PT3i6upKoqOjCZ1OJ5s3b6ZaKqX4+fkRcXFxkpOTQ7UUNoWFhURcXJz4+flRLYUDSo3+hg0bSPfu3amUIND4+/sTACQgIICv4/71119ESUmJaGpqkqysLL6OLeIb/96Vajt5LNn3mxM5tsGd7PvNidhOHks0VFUIACInK0syMzOplkwpX79+JcrKysTV1ZVqKWx27NhBpKSkyKdPn6iWwgGlRn/fvn1EVlaWSgkCy+3btwmdTifLli2jZPwXL14QbW1toqCgQBISEijR8LPyff6ZM16ejeafOePlSXp2URea/DNtydatW4mMjAz58OED1VIIi8UimpqaArlmSblPv7y8HBUVFVTKEDgKCwsxc+ZMGBkZ4cCBA5Ro6NWrF1JSUjBs2DBMnDgRR44coURHe6K4uBiqqqp4+fJlg20iIiJgY2MDq1EmSD/hixlmppCQ4F7jWEKChhlmpngcdgRWo0xgbW2NiIgIrm2HDh2KmJgYXtyGwOLs7AwWi0V53QAAuHXrFnJycrBo0SKqpdSD8pBNQLQr93sqKythaWkJCQkJREVFURrmJS8vjwsXLsDFxQXOzs5Yvnw5amtrKdMj7Hh5ecHCwoKjRm1+fj4sLCwgKysLRUVFLFy4EPPGmSHYc1WTUgsDQGpWNj6WlUFKkg5ra2uuX9Cenp5Yt24d14Xg9oKKigrs7Ozg7e2NyspKSrUEBQWhV69eGDlyJKU6uEH5TB8QGf06CCFYtmwZHj9+jLNnz1Je6QcAJCQkcPDgQRw5cgS+vr749ddfUVpaSrUsoaOiogKBgYFwdHRkH2MymZgyZQrKy8tx69YtdP/lF4AQdJCRblZ+9fLKSuhq9ULAencAgO/hw/XaTJkyBaWlpYiPj2/9zQgw7u7uePfuHcLDwynT8PnzZ0RGRsLe3l4gixeJjL4A4ePjg5CQEAQEBEBfX59qORwsXboUV65cwd27d2FsbIzc3FyqJQkVly9fhoSEBIyNjdnHrl69iqdPnyIsLAwsFgvpjx9j+expCLmUgM/l5U3ue5LxUPzhZIf5E8wBAJlPniAtLY2jDY1Gw+TJk3Hy5Ene3JCA0qdPH0ybNg179uyh7KkmMjISFRUVsLOzo2T8HyEQ7h3RrlwgMTER7u7uWLlyJWxsbKiWw5WxY8fizp07qKmpgaGhIf766y+qJQkNf/31FwwMDDiOpaSkYODAgejSpQtCQkLQVU0V6xbOQVV1DVKzclo8Vif5jggODq533NDQEDdv3mxxv8KCh4cHsrKycOnSJUrGDwoKwoQJEygrxP4jKDX6MjIykJKS+uln+q9evcKsWbNgbm6OnTt3Ui2nUfr27Yu7d+9CR0cHY8eO5WpcRNTn5cuX6NKlC8exoqIitgsvJTkZY/R1oKKoAEk6HUXFH1s8lk7vHriTklLvuIaGBvLz89u1Xx8ATExMYGRkRElqhmfPniElJQUODg58H7upUGr0xcTEfvpduV+/fsX06dPRoUMHnDp1ChISlJUtbjKdOnVCfHw87Ozs4ODggDVr1oDJZFItS6CpqKjgupu6bgdt5pMn0NXqDeDb2k5rdtb2UO+MDC4J9KSlpcFisdp9Om0xMTF4eHggKSkJ9+/f5+vYQUFBUFJSwtSpU/k6bnOgfJVBWVn5p3XvEEKwaNEiPH/+HGfPnhWqRFl0Oh1Hjx7F/v37sXfvXlhaWuLLly9UyxJYlJWVUVJSwnGsc+fOKCoqYhvijrIyKPlchpraWqh1ankhc1kpBqqqqurN6D9+/AgZGRlIS0u3uG9hYfr06ejVqxdfUzPU1NQgNDQUNjY2Al3LgHKjr6Ki8tPO9Pfs2YNTp07h+PHj0NHRoVpOsxETE8OKFStw/vx53LhxA8OHD0d+fj7VsgSSIUOG4OnTp+yfCSHo1q0bMjIysGDBAoiLi+Nz+VdcvZcGhiQd+v00WzxWeWUVGAxGvciRzMxM6OnptbhfYYJGo2HlypWIiopqdF8EL7l48SLevXsn0K4dQACM/s/q3omPj8e6deuwYcMGWFlZUS2nVUyZMgXJycn49OkTDA0NcefOHaolCRwjR45EZmYmtmzZgqlTp0JFRQVLliwBIQTnzp2Dgrw8rqTcx2rvADhOnYSOsrJN7vvL1wo8ev4Cj56/AABkvshD71696n0B37x5E+PHj+fpfQkydnZ2UFBQ4NsGx6CgIBgYGAj+BI7S/cCEEDc3NzJgwACqZfCV7OxsoqCgQKZMmUJqa2uplsMz3r59S0xMTAiDwfjpUwL8888/JDIykqxYsYIYGhoSCQkJdrK0sWPHks2bN5P4+HiSkZFBpkyZQiQkJIiYmBhxtvyVVCSdZ6dayI0JIQDI9cM7uaZiYKVcIdcP7yQA6r1sbW059NDpdFJQUEDdm0IBmzZtIrKysuTjx49tOs7r168JjUYjvr6+bToOL6B81fBnc++UlZVh2rRpUFVVRXh4OGg07lvshRFVVVVcu3YNS5Yswfz585GVlYUtW7YI5AYVXlJbW4vHjx8jOTkZycnJuH37NnuW3bNnT5iYmMDOzg5MJhO+vr6Ij4/neE8uXLiAtLQ06OvrY8zQIWB8twv75Zu3UOggB13NXg2Ob6anC1bKFQBATOItWK3/A6mpqRyunAMHDsDOzk5gwwjbCldXV+zatQtHjx7FunXr2myc0NBQ0Ol0zJs3r83G4BWUG/069w5pZcSCMMBisbBw4UIUFBSwK1a1N6SkpHD8+HFoa2tjw4YNyMrKQnBwcJMLuLNYLIH/kigpKcGdO3fYRv7u3bsoLy8HnU6Hvr4+rKysYGpqCmNjY6irq3Ncy2QyUVhYiG7dunEc19PTg7mZGVb7BGL8MH12CoYrd1KxfuEcKHbs8ENd5RWVWOMTBHMzs3q+e1VVVXh4eLTyzoUPNTU1LFy4EIcOHYK7u3ubLLASQhAUFARLS0soKCjwvH9eI0YIIVQKiIqKwuzZs1FSUiIUb9iPaMxo/f7779i6dSvOnTsnMPUy25KYmBgsWLAAAwYMwLlz5+oZQABIS0tDcHAwUpKTkfnkCaqqvi1CDhwwAMYmJrC3t6d08ZEQguzsbLaBT05OxpMnTwB8e0o1MTGBiYkJTE1Noa+v36oiNzk5OdDR0YHVKBMEe65q1pcfi8WC/ba9iE5KxuPHj6Gp2fKF4PbGs2fP0L9/fwQHB7fJLtnbt29j+PDhuHbtGkaPHs3z/nkN5Ub/xo0bGD16NJ4/fw4tLS0qpbSIphqt8+fPY9q0adi2bRs2bdpEtWy+kZaWxo5ZjouLw5AhQwB8M3BLFi/GjcREaKiqYKyBLnS1eqOjrAw+l39FevYL/PkgHYXv3sPczAz+AQF8MWQVFRV48OABh5H/8OEDxMTEMGDAAA4j37t3b54/nZ48eRLW1tawmTAavmvcmpR0rbyiEs67vBEWfx3h4eFC4WLgNxYWFsjLy0NGRgbPf2cODg64ceMGXrx4IfBPqYAAGP3MzEwMGjQIycnJHHlJBJ3mGK1hhobIfPIEEyZMQFRUlFB8MHjJ69evMW3aNDx9+hQnTpxAZWUlHB0dod5JEbtdF8FiuBHX9MG1tUzE3bqD1T6BePOxBIGBgTw3aG/evMHt27fZBj4tLQ01NTWQlZWFkZER28gbGRnx7Uk0IiICjo6OUFPoiD3LF2PqcOMG35/zt1Kwxieozd6f9kJSUhLMzMxw+fJlTJw4kWf9lpWVQV1dHWvWrMHmzZt51m9bQrnRLyoqgrq6Os6fPy80Lo+6P8qmGi33g0dR+L4YAQEBsLe3p0Ax/yguLoa2tjbu3bvHkUL469evsLOzQ1RUFMTExFo8kw0LC8P8+fPrtamqqoKWlhZiY2MbTFZXW1uLzMxMDiNfF8Pdo0cPjln8wIEDKd0dnZmZCQMDfVRVVUNDVQVj9HWhq9UL8nKyKP1SjvTsXFxL/TapGG1ujqP+/iKXTiMQQmBoaAh5eXn8+eefPOs3KCgIjo6OePnyJX755Ree9duWUG70a2pqICkpicDAQMo3NTRksL6nrshFc43Wsl3eCG/EaFlZWcHExAQrV65s7W1QioeHB0pKvs0668jPz4eLiwuuXbuGiooK9P2lKx6GHoZUMxbVWCwWTBa74/6z56DT6Rg4cCAOHDiAESNGsNscOnQI58+fZ/9Rf/r0qd6C65cvX0Cn06Gnp8c28iYmJvXy4lBNSEgI7O3tcfbsWfz555+4k5KCjMxMtvtw0MCBMDI2pnzNQ5g4ffo05s6di7S0NLabsbWYmppCTk5OqFJWU270AUBRURHr16/HmjVrKNXBzWBx8/8N698XtwP2N9lN8yT3JTb7h+Lq3TSUV1Ziw4YN2L59O0ebx48fw9zcHHl5eejYsWPrboQiKioq0KVLF1y6dIntqmMymRg8eDBUVFRQ9vkzCl+9BAiBpflweK9ybnLfp/9MwsL/7Ia8nCx6afWBsYkJjh07hqdPn+KXX34BIQQPHjyAiYkJZsyYgWfPnuHJkycghEBZWZnDwBsYGAh0KgJCCAwMDKCmplYvU6QwRDcJKrW1tdDS0oKpqSnCwsJa3V9WVha0tbVx6tQpzJkzhwcK+YNAfHoEYVcutyIXdQQHB+PNmzcwMTZGd3U1xO39vVl/eF8rq9BLQx0+Hi6giYsj8vTpem10dHTQo0cPSos/tJbGcsavWbMGD1JT4bPKGXt/W4Jj5y83K2f8/pMxcLCYAL+1brh3/z7mzJkDZWVl2NraYvr06VBTU4OhoSFqa2uRmJgIY2NjBAUF4e+//8a7d+9w7tw5rF27FiNGjBBogw8Ad+7cQVpaGlxdXeudExn8liMhIQF3d3ecOnUKBQUFre4vODgYnTp1wvTp03mgjn8IxCeoLukalSlfuRmsOhQUFFBYWIjklBTsW74EygrNi68f2r8vdrsthu2UcejUsQNyXryoV+QCAKZOnSrURS4ayxl/8eJFdFVThcVwI0wYpt+snPHVNTVI/Tsb4w31MHW4MTorKWL48OF49eoV/vrrL5SVlcHJyQmXLl3C8uXLMWDAAPj7+8POzg59+vQRuv0fPj4+6N27N08XHEV8w8HBAR06dMDBgwdb1U9NTQ2OHz8Oa2trgU6uxg1KjX5aWhrc3Nzw/O+/ceLECdBoNEhJScFAXx9ubm5cDWNbwc1g1eHq6orhw4eDLiGBNx8+turLSUaKAXk52QaLXNy7d09oU982ljO+Ll+8hAQNih07NCtn/IdPn8FksqDWSRESEjSMN9RHt25d4eLiAk1NTVy7dg3btm3DpEmT0Lt3b74l2GoLioqKEBUVBRcXF9Gsvg2Qk5PDsmXL4O/v36qyn5cvX8bbt28pX4dsCZR8qnJycjDa3Bz6+vqIjTwNC2N97HZ1xLEN7vBaaoeBnTshNvI09PX1MdrcHDk5La8i1FS4GSwA2LZtG6KiotCzRw/oavbEmsPHsOP4qVaNpdVVo8EiF1VVVSgqKmpV/1TRWM747/PFAy3LGV/XXFerF4qK3kJdXb1eH9LS0vj69WvzxQsI/v7+oNPpAltqrz3g5uaGyspKBAQEtLiPoKAg6OnpYfDgwTxUxh/4HpP2fbjjGS/PJsVo6+jotHkMckMGq24jVW5eHryW2oHJYmFbUDg22dePwGkqGipKuHKv/lNMna9ZWI1WQznj7969y84XD6DZOeOVFTqCRhNHUfG3vuXlZFFVVYW3b9/WKx7/8eNHdhlOYaOmpgZ+fn6wsbGBomLL8+mLaBx1dXXY2NjgwIEDWL58OSS/y3XUFIqKinDhwoVWu4iogmcz/eLiYqiqqjb6aF0X7mg1ygTpJ3wxw8yUq8EHAAkJGmaYmSL9hC+sRpnA2toaERERXNsOHToUMTExrdLPzWARQvD+/XskJyezjZbRgH74XP4Vbz+WNNDTj5FiSDZY5AKA0Bqtf+eMBwBjY2NkZmZCUlISn8u/fZk1N2e8JJ0O/b5aSLj/EABQ+qUcDAYDf/75J0xMTDjaZmZm8iwcj9/ExsbizZs3XBdwRfCWVatWobCwEJGRkc2+9sSJE5CQkOAaei0M8Mzoe3l5wcLCgiO+XUxMjONlbW0NQ+0+CPZc1aT4dgCIuHoDua+LQKfRYG1tDVNTU9y7d4+jjaenJ9atW9ciXzuLxUJBQQE6duyImzdvYv369Zg1axb09PSgoKAAVVVVmJqaQlxMDJ/Lv+Lh8xeQkpSEglzT853/m8qq6gaLXHTt2hXKysot7ptKJkyYgCdPnnB8eY4fPx79+/cHg8HA9QcPce3+wxbljHefZ4nA81cQFBePpIcZkJeXR35+PpYuXcrRTphzxvv4+GDUqFEYNGgQ1VLaPQMGDMCkSZOwZ88eNCdq/fvkasL6NMaTOH1u8dnAN6MfHByMiRMnYqalJQpf5uJ+0KFmRb/YbNkJE53+GNKnN+Zs8kKtOA0VFRV48uQJNDQ0AHyLBe/SpQtCQkIwadKken3U1NTg5cuXePHiBXJycvDixQv2/3NzczkWTrt27Yo+ffqgd+/eqK6uhpSUFMaNG4fNnpsgLyGGJ7mvYDtlHA66L2vyPVTX1OBp3rdUu1NWeUKxQwdASgbnzp/n2EVpZ2cHGo3GsU9A2DA2NoadnR2cnJzYx/Lz8zFy5Ejkv3oFxY4dMG+8Ofa4ObJTCL98U4Relna4fngnzPR0G+zb90wcdodF4VXRO6ioqCA6OhojR45kn09JScHkyZPx+vVrgQ/L/Dfp6ekYPHgwoqKihL6ojrBw/fp1jBkzBlevXsW4ceOadE1KSgpMTEyQkJCAsWPHtrHCtoEnRj8mJgZOTk71at2KiYkhNjYW3bp1g4GBAc54eWKGmWnLx/n/XOGysrLw9fXFwoUL2ecWLFiAT58+YdGiRRzGPScnB/n5+ezC3XQ6HT179oSmpiZ69+7N8a+trS3s7e3ZBuvKlStYv349cnJyUFlZCRCCnS6L4DZrGodbStx4IoI2rYTdFO4zzDqj9m9GjRqFxMREAEBlZSXU1NQQHx8PIyOjFr9HVHPp0iV4eHggMzOT40mmLl88t89AYlo6LNdtw4vo4B+mEG4oXzwAzJo1C0OGDMGGDRt4d0N8YvHixbhy5Qry8vIoTf/wM0EIgb6+PlRUVJq8o9bR0RF//vkncnNzhTa6iiefrh+FOxYXF3OEO7b0zfoWo90J70o+ISEhgZ3ZLicnB2/evAHwrSCFjIwM25hbWVlxGPdu3bo1WLhk8+bN8PDwwOLFiyEuLo6JEyeyY6XrjFYPdTUOg//yTREkaDSY6gxoUHcP9c4/LHIRGBiIYcOGCbXBB4DJkycjOzu7Xs74hvLFA03PGd9Yvviqqiro6urC3d2dtzfEBz5+/Ijw8HBs3LhRZPD5iJiYGDw8PGBtbY3Hjx//sMzhly9fcPr0aXh4eAitwQd4NNOfPn06lJSU6rkl/vjjD4wZMwaLHBwgCyaevszHuoVzWhX5oj3HEX/n/wNFRUVoaWmxDfrnz5/h7e2NgoICrqF8TeXgwYOwtLSsV+QCAEabm+NV9nOkn/BlGy2/mIvIeJGHw6t/vPhWXlEJ3QXO6K7VB9dv3OA45+/vj1GjRqFv374t0i0MiPLFc2fPnj3YuHEjCgoKoKqqSrWcn4qamhr07t0b5ubmOH78eKNtQ0JC4ODggLy8PHTv3p1PCnkPT4z+hAkToKmpicOHD3M9LyUlxRHu+OnPlkXa7AqLwn+OhaGWxUR1dQ3HuYSEBIwfPx5fv35tM3+uyGi1npbmi1+68xAirt5od/nimUwmtLS0MHz4cISGhlIt56dk3759WLt2LfLy8hotJzlixAhISUkhISGBj+p4D0+eUbiFO9bBYrF4Eu64JzwaXsdPYdV8S9TU1HINd5SRkWnTBTxNTU0EBgYiLP467LftRXlFZZOuK6+ohP22vQiLv47AwMCf1uADwLx58xAWFobopGToLnBGTOIt1NYyubatrWUiJvEWdBcsw6mERPTq1QszZszgs+K25fLly8jLyxOFaVKIo6MjZGRk4O3tXe9cnZ15/vw5bt26JZQ7cP8NTxyIQ4YMaTBrnbi4OBgMRqvCHXeHRWF7yElcObAdKRnPGgx35EeK2Xnz5oEQAkdHR9zOeIZdrg5NLnLR3mapLWX+/PkwNDTEksWLYbX+jybli9/jfRjz5s2Di4sLjh07JnT5dBrCx8cHQ4cOhaGhIdVSflo6duwIJycn+Pn5YcqUKYiKiqpXCU+pUydISko2mHJdmOCJeycjIwN6enp49+4dO3Y1Li4ORUVFMDY2xry5c9FBnNWicMddYVHY7B+K8P+shalOf/y27wiefyjFrdu3IScnx25nZmaGMWPGwNPTs7W30yT+XTlLVOSiZdSVm2xKvvjjx4/Dzs4OR44cqRefL4z8/fff6NevH44fP84RiSaC/9y8eROjzc1Ry2Q2WAkv/m4aioo/8rV8Z5tAeISRkRHx8/Nj/3z58mUyePBgIicnRyQkJIgEjUb2Ll9Cqm9eJKyUK+wXABIrQDCLAAAgAElEQVS0aSXHse9f3TurEgD1Xlu2bGGP9c8//xA6nU4KCgp4dTtNJjU1lbi6uhIDfX1Cl5AgAAiDwSAG+vrE1dWVpKam8l2TMMNkMhs97+bmRuh0Orl16xafFLUdy5cvJyoqKqSiooJqKT814eHhRFpamnRXVyNnvDzr2ai6V/XNi+SMlyfppdGFSEtLk4iICKqltwieFVFpKD4baDhG++WbIvSZtQhPTvpDq5vGD8doKNxx9erVKC0thb+/Py9upcUcO3YMixcvBpPJFOqQLkGmpqYGY8aMQXZ2NlJTUwWu4lVTKSsrQ9euXeHq6lqvoI4I3tCWlfB+VL5TkCvh8cwyTZ48GU5OTigsLKx37vsY7e8XP6+kpGLxtElNMviNxWirqqpi27Ztrb+JVlK3iFxZ2bQFXhHNh06nIyoqCjQaDTNnzhTaNNQnTpxAeXl5u3BTCSrcUsMA30IvdXR0wGAwYG1tjT7dNJqVGublmyJ8qaiAzP9fv3HjxnptNm/ejO3bt+Pz58+8uBWewtPp6G+//cY1vh0A/AMC8OZjCZx3ebNXxJdaTmlSfDuLxYLzLm+8+VgCfy7pUFevXl0v2yIVyMh8yyJZUVFBsZL2jZqaGmJiYpCWlobly5dTLafZEELg4+OD6dOnN/j3IqJ1NFQJb9++fdi4cSPWrVsHvSFD0E1NBb8vWfhTVcLjmw+iNeGOtr/vEYpwx7qZvsjotz2GhoY4cuQI/P39KXfrNZcbN27g2bNnojDNNoRbJbySkhJs2rQJoaGh6Nu3L+7cvYsDK5Zi1piRjfRUH2GvhMdXx3PLYrSdcfrPJMjLy3Mk1xJEREafvzg4OGDZsmVwdXVFCpeiNIKKj48PBg4ciFGjRlEtpd3CLTVMQkICWCwWCgsLMW7cONDExRFx9QYK3r5voJcfI4yV8Pie6KMlMdonIqMwZ84cWFhY4ObNm5BtRkpefiIy+vznwIEDSE9Px8yZM5Gamgp1dXWqJTXKq1evcO7cOfj6+rabvQaCCLdKeLm5uWCxWNixYweUlJRg3E8Tn8q+YPzy9UgPOwJJOr1FYzWlEp4gpW2gJMREU1MT12/cQGpqKmbMnoOn70qw4ehxOO7Yjw1Hj+PpuxLMmD0HqampuHb9OkxMTHDhwgVkZ2fD2tqanTFT0BAZff4jKSmJ6OhoAN+ybFZXV1OsqHH8/PzQoUMHWFtbUy2lXcOtEh6LxUJNTQ0OHTqEgoICjDXUQ8Tv65D9z2vcSE1v8VgaKkrIyMysd1xQK+FRmtJPT0+PIxKnsQycurq6OHnyJKZNm4Z169Zh9+7d/JLZZAT1l9zeUVdXx5kzZzBq1Ci4u7s3mAOKaurqstrb23NsLBTBe7ilhql7CuzXrx87NYyKogKU5TsivxUunu8r4X1vvwS1Ep5ABZP/aAX9119/xd69e7Fnzx4cO3aMT6qajih6hzqMjY3h4+MDX19fBAUFUS2HK6dOnUJxcTGcnZ2pltLu4Va609T02x6h7OxsdmqYj6Vl+FD6Gd07tzy7qbBVwuPZ5ix+QQiBi4sLAgICcOXKFYwZM4ZqSWxKSkrQqVMnREdHY+bMmVTL+SlZsmQJjh8/jps3bwpUPhtCCAwMDKCmpoZLly5RLafdwy01DPAtDXxOTg5qa2rQV60TWCyC3Ndv8DDUF/Qm1jIQ9kp4AjXTbwpiYmI4dOgQRo8eDSsrK2RlZVEtiY3Ip0893t7e0NPTg6WlJd6+fUu1HDZ3795FWlqaKEyTTwwaNAgGBgb1Cp+HhoZi2LBhePnqFeJu3QWNJo7L+7dzGHxx44kIuXi1wb5ffyiGnq0L9Gxd8ObDRzzNe4Wnz55x7AmorKxEbGwsFi9ezPubayVCZ/QBQEJCApGRkejSpQumTJmCDx8+UC0JAMBgMCAmJiYy+hTCYDBw5swZMJlMzJ49GzU1NT++iA94e3ujd+/e7EpsItoeT09PHDx4kCMNe8eOHREYGIjk5GQQQrBw0lh0U/ufz705lfBYKVcQ7bUJAJCamsoufQoIdiU8oTT6ACAvL48LFy6grKwMM2bMEIhYWDExMUhJSYmMPsV06dIF0dHRSE5OhoeHB9VyUFRUhKioKLi4uIhyMvERKlPD0Ol0rvn5BQGh8+n/m+TkZIwePRqzZ8/G8ePHKY99VlJSwurVq7Fu3TpKdYgAjhw5AmdnZ8pTF2/btg3//e9/8c8//3D4l0VQS05ODgYOGAAr8+E4vrl5dW+FuRKe0E87TExMEBwcjBMnTghEtkIZGRnRTF9AWLp0KRwcHODk5ITU1FRKNNTU1MDPzw82NjYigy9gPHnyBNU1NYi4euOnqoQn9EYf+JbeYevWrfD09Ky3cMNvpKWlRUZfQBATE8Phw4cxaNAgWFpa4v37lsdit5TY2Fi8fv1atIArYCQmJmLOnDmYOXMmQkNDm50aJjopWWgr4Qm9e6cOQghsbGwQExODxMREDBs2jBIdurq6GDlypMD6835GCgoKYGBggAEDBuDq1auQaGJoHi8YOXIkxMXFORb5RFBLamoqzM3NYWRkhLi4ODAYjJ+rEh4lpVvaiIqKCmJiYkJUVVVJXl4eJRqGDRtGFi1aRMnYIhomKSmJSEhIEHd3d76N+ejRIwKAREVF8W1MEY2TlZVFlJWVybBhw0hZWVm9899XwmMwGO2yEl67menX8f79ewwbNgyysrK4ffs2OnbsyNfxzc3N0aVLF4HMo/2z4+3tjeXLlyMsLIwvuW8WL16MK1euIC8vj69PFyK4U1BQAFNTU3To0AF//fUXlJSUfnhNY6lhhJX2dTf4lufiwoULyM/Px5w5c1BbW8vX8aWlpUW5dwQUV1dXLFy4EIsXL8bDhw/bdKyPHz8iPDwcS5cuFRl8AeDDhw8YP348xMXFcfXq1SYZfODHqWGEkfZ3RwD69++P6OhoJCQkwN3dna9jixZyBRcxMTH4+flBW1sbM2bMaNNNfcHBwWAymQK5I/Nno6ysDJMmTcLHjx+RkJAADY0fx+C3Z9ql0QeAcePG4fDhw/Dx8eHroqooZFOwkZaWRkxMDMrLyzF37tw2eRJkMpnw9fXF7Nmzoara8kReIlpPVVUVpk+fjufPn+PKlSvQ0tKiWhLltFujDwBOTk5wd3fHihUr+JbkSjTTF3y6d++OyMhIJCYmYsOGDTzv//Lly8jNzYWbmxvP+xbRdGprazF//nwkJycjLi4OQ4YMoVqSQNCujT4A7N69G1OmTMHcuXORkZHR5uOJjL5wYG5ujt27d2P37t04zaWwdWvw8fHB0KFDBSrL588GIQRLly7FuXPnEBkZKfClVvlJuzf6NBoNERER6N27N3799VcUFRW16Xgioy88rFixAtbW1nBwcMDjx4950ufz588RHx8v2oxFMWvXrkVgYCBCQkJgYWFBtRyBot0bfQCQk5NDXFwcampqMG3atDY1yqLoHeFBTEwM/v7+6NOnD2bMmMGudNQaDh8+DBUVFcyePZsHCkW0hF27dmH37t04ePAgbGxsqJYjcPwURh8Aunbtiri4OGRkZMDW1pYj3SovEc30hQsZGRnExsbi06dPmD9/fqvqL5eVlSEkJASLFy+uV59VBH84duwY1q5di82bN2P58uVUyxFIfhqjDwD6+voIDw9HdHQ0Nm/e3CZjiKJ3hI8ePXrg9OnTSEhIgKenZ4v7CQsLQ3l5OZYuXcpDdSKaypkzZ+Dk5AQXFxds3bqVajmCC8U7gilh586dBAA5fvw4z/s+duwYAUCYTCbP+xbRtuzevbvFaRNYLBbp378/mTlzZhsoE/EjEhISiKSkJJk3b57ob+8H/JRGn8ViEQcHB0Kn00lSUhJP+w4PDycASHl5OU/7FdH2sFgsMmfOHCIrK0syMzObde21a9cIAHLjxo22ESeiQe7evUtkZWXJpEmTSFVVFdVyBJ52l3unqVRXV2PixIlIT0/H3bt3eZYxLzY2FpaWlvjw4UOTt3qLEBzKy8thbGyMiooK3L9/HwoKCg22/T4vi6WlJbKzs/H48WPKC/n8TDx9+hQjRoxAv379kJCQABkZGaolCTw/lU//eyQlJREdHQ1lZWVMmTIFJSUlPOm3rji6KIJHOJGVlUVsbCyKi4thbW3NsbCblpYGNzc3GOjrQ0pKCjQaDVJSUtAZNAixsbGYOnWqyODzkVevXmH8+PHQ0NDAhQsXRAa/ify0M/06cnJyMGzYMOjq6uLKlSuQlJRsVX9JSUkwMzPD33//jT59+vBIpQh+Ex8fj0mTJmHjxo2wtbXlyLU+1kAXulq90VFWBv/X3r3H5Xz3Dxx/dXIhRc4ypmRO0VKLHMtUlLgb99okh+HnFOaxtDWLCXM2NqdlMaesbgslYs51V1tLSuEmadHktiKr5Upd398fVrfWQeXKdVWf5+PRY499r8/1vd5f6d3H5/v5vt+P8/4k4eYtwmPiuJ/9EFsbG/x27qy7tdbriPv37zNkyBCKioqIjIykQ4cOqg6pzmjwSR/g4sWLjBgxgkmTJrFz586Xmq3FxsZiZWXF5cuXMTMzU2KUwqu2evVqvL29kcka0bF1a9Z5TMN58AC0tbXKjC0sLCI0MoZFW/y5l/0Qf3//OtlVqS7IycnB1taWe/fu8e9//xtjY2NVh1SnNNjlnecNHTqUnTt34u/vz/r161/qXMXLO2LbpnrLysqibdu2pKWlVTimU6dOaADjbQaTsG8bLjaDyk34ANraWrjYDCJh3zbGDxuIm5sbAQEBZcbJ5XI6d+6ssp69dV1+fj5jxozh9u3bnDp1SiT8GhBJ/y+TJ0/m008/5eOPP+bIkSM1Po9I+nXDqlWrcHZ2pkuXLiXH0tPTcXZ2RldXFwMDAyZPnsx79rbsWeKJbpOqPWz1VdARrqWlo6WpiZubG3Z2dvznP/8peV0mk+Hp6cnHH3+s7Euq954+fYqrqyuxsbGEhYXRp08fVYdUJ4mk/5zly5czbtw43NzcajwTE0lf/eXn5+Pv78/06dNLjhUVFeHk5EReXh6RkZG83rkzSBL6TZtUq5HGxfgrzBnvTJTfl3Rs24b4S5ewt7cnLy+vZIybmxsRERFcu3ZNqddVnykUCqZNm0Z4eDjBwcEMHDhQ1SHVWSLpP0dTU5M9e/bQu3dvnJ2duXv3brXPIXbvqL8TJ06gra2NtbV1ybFTp05x9epV9u/fj0KhICExkfnvjuW74z/y+LmE/cJzb1rJFCd7LHu9weaFM8nKziY9Pb3UJKJVq1YMHDiQgwcPKvW66itJkvjoo4/Yv38/e/fuZeTIkaoOqU4TSf9vmjZtSkhICDo6Ojg7O5Obm1ut94uZvvq7ePEilpaWpY5FR0djamqKoaEh3333Ha+1a8snk1yRFzwl7npKjT5nzGBr2rVsCUDLv/5bzMrKioiIiJpdQAOzcuVKNm3axNatW3nvvfdUHU6dJ5J+Odq3b09oaCgpKSll9mq/iEwmQ0NDQyR9NZaWloahoWGpY5mZmbRr1w6A6Kgo3rboSxuDFjTS0SEzq2bVN7W0NNHR1qRZs2aYmpqWeq1jx46V3kQWntm+fTs+Pj4sX76c2bNnqzqcekEk/Qr07duXwMBAjh07Vq2bbhoaGqLSpprLz88vtwpm8VbdpORkzLp1BZ4tLdR0C6/H+q3k5T+hoKCgzGuiBPeLff/998ydO5cPP/yQxYsXqzqcekMk/Uo4Ojry5ZdfsmHDBvz8/Kr8PpH01Vvr1q3LPIHdvn17MjMzUSgUyOVy9HWb8vDxHzwtLKRdS4Nqf8a8DdsIjYzBy/1dCgoKypTyzs7Opk2bNi91HfVZeHg47u7uuLu7s2HDBvGksxKJpP8C8+bNY+7cucyZM4fTp09X6T0i6as3c3Nzrl69WuqYtbU1SUlJ3L9/H5lMxuO8Pzn18yVkjXSw6FH1p2slScJj/VYOn/83Z7asoZG2NjKZrMwOoKSkJNGztQJRUVG88847jBo1im+//bZau6eEFxN/mi+goaHBpk2bsLOzY/z48VXaZif+6a7eHBwcSE5OLjXbt7e3p1evXri7u2NsZER4dCyLvt7J9DGj0NfVrfK5567fyoGTZzmw7GP0mjYhJukaPbp3LzMJiIiIwN7eXmnXVF8kJibi5OTEW2+9RWBgIDo6OqoOqd4RSb8KtLW1+f7773nttdcYPXo0Dx48qHS8mOmrtz59+mBpaUlQUFDJMS0tLcLCwmjcuDE3U1L4MTaeMYMHsH7e//byp93LRNN6JOcvJVR47h3Bx8jJzcN2rheGoyfwr7MRJCQmlmq+Hh0dTU5ODuPHj6+dC6yjUlNTcXBwwMjIiJCQkJKdcIJyiaRfRc2bN+fYsWPk5ubi4uKCXC6vcKzonqX+fHx82Lx5c6m19s6dO3Ps2DF++uknJEni7bfMkT1XgC/t3n1a6DXDzKTiR/8V0eElX4dWfQZAXFwcU6ZMKRmzceNGFi1aJJLac+7du4ednR16enqEh4fTvHlzVYdUb4mkXw1dunTh6NGj/PLLL0yfPp2KatWJ5R315+joyMyZM8nIyCjzWr9+/bC1sWHRFn/y8p+UHA+PicN7kisG+novPH9e/hO8tuzC1saGfv36lRyXy+WYmZmxcOFC5VxIPfDw4UMcHByQy+X8+OOPtG3bVtUh1WuiymYNBAYG8t577+Hr61vSU/XSpUvs3r2b6KgoLickUFRUhEwmw7R3b6wHDmTq1KmlfvgF9ZaSkkLfvn0ZP2wgu30+qtbNRIVCwdTlGzh0IYrExERRZrkSeXl52Nvbc/36dSIiIujVq5eqQ6r3tFUdQF3k6urKjRs3WLJkCXp6eoQcPVqq1rrbkOmlaq0fDgpky5YtotZ6HWJiYoK/vz9ubm4AbPOaV6Wia3n5T5iz9mv2nzzLgQMHxPe6EgUFBYwfP56EhATOnj0rEv4rImb6NSRJEkOGDCE6OprX27dj/bzpotZ6PRQQEMD06dPp0NKAtR4fMGawdYXf45DIaLy27BLf4ypQKBRMnDiRH374gbCwMEaMGKHqkBoMkfQrkJWVRc+ePfn5559Lld8tFhAQwMSJE5ngYMsOr/nVngXu37+fCRMmlDvurbfewtvbm3feeedlL0NQgpSUlFKds962MMOsmzHNm+mSk5tHws1UzsQlkPHfBwy3teUbPz8xw6+EJEl4eHiwY8cOgoKCGDdunKpDalBE0q+Ap6cnDx8+m7EVK++pwK2ec5k9zrnK51UoFAyf+zERCUloa2tjYmLCypUrcXFxKRkTEhKCp6cn169fFw+mqJHi+zYx0dFcSUpCLpejraXFm2++yQBra3HfpoqWLl2Kr68vO3fuLFXeWng1RNIvR35+PoaGhhw/frxU+V0NDQ12797NTj8/MtJSOfP1ajq0akmTxrIqnzv6ylWGzvJEv5ku3br34B8uLixZsoTIyEj69+8PPKvtXlztcdSoUUq/PkE5xo0bR05OTpWf1Bbgq6++YsGCBaxZswYvLy9Vh9MgiWlkOcqrt14sKyuLqOhoNs7/P4w7dqhWwgfYHHgEO6t+7PRewM+xsTg4OPD222+zadOmkjFaWlo4OjqKeutqrmvXrqSmpqo6jDpj3759LFiwgEWLFomEr0Ii6ZejvHrrxZYuXYqmhgZf7PmeHcFhZQppvUh00jXsrPoxZrA1Hdu2Yffu3Tg4OBAVFVVqnKi3rv6MjY1JT0+nsLBQ1aGovdDQUKZOncq0adNYs2aNqsNp0ETSL0d59dbhWTvF1zp2xGmQFe/Z2eD5tR9f7Pm+WufOzHpIu5YGaGtr8baFGTHR0bRr147MzMxS4zp27Eh6enq1f6kIr46RkRFFRUXcuXNH1aGotYsXL/Luu+8yduxYduzYISpmqphI+uWoqN76Z599Rtqvv2Jr8SYfTRjHshmTWH/gULXPX/x33qybMVeSksqt2d6kSZOSMr+CejI2flaO4fbt2yqORH3Fx8fj7OzMoEGDCAgIQFtbPBqkaiLpl6O8eutAqVrrAAN69+Bx3p/czy47tiLtWxmQmfVsfPNmusjlcu7fv1/StalYdnY2TZs2FfVZ1Fjnzp3R0NAQ6/oVuHnzJiNHjqR79+4cPnwYmax697+E2iGSfjnKq7cOzxqnF9daB4i/cYvGjRrRolnVS+9am/bkdGw8ADm5echkMn788UcGDhxYalxSUpLY/qfmZDIZr732mpjpl+Pu3bvY2dnRqlUrjh8/jp7ei+sVCa+G+LdWORwcHPD29ubhw4cYGDzrmhQaGkpmZiZdjY2JuHyFZk0b89k33zHjH6NKVWJ8kfnv/oNhczxZsy+ImCvXaN26NadPnyYyMrLUOFFvvW4wMjISM/2/ycrKwsHBAUmSOHXqFK1bt1Z1SMJzxEy/HOXVW9fR0WHbtm3cTEnhyIUoNgceYdmMSWyY93+l3qtpPZLvwk5VeO6BfXtx0Neb3cdOcTQimry8PAIDA0v26ANkZGQQFRXF1KlTlX9xglIZGxuLmf5zcnNzcXJy4sGDB5w6dYrXXntN1SEJfyOSfgX+Xm995MiRxMfHExMTgwT4zpjEAtd/lKrDknYvE20tLQb17V3puccPH8IXs6f8731paaXq72/atIkpU6aIH5g6QMz0/0cul+Pi4sLVq1cJDw+ne/fuqg5JKIdI+hWoqN56RbXWAcKj45gxdhTdOnWs9NzFtdatrQcwbtw4vLy86Nq1K1u2bEEul9O2bVuWL1+u9GsSlM/Y2JgHDx6Qm5ur6lBUqqioiIkTJxIREUFoaKi4H6XGRNKvxIIFC+jUqVOZ4347d3Iv+yFz1n5dah/9rHec2LrIo9JzKhQK5qz9mnvZD9m7dx/ffvst169fx87OjgULFmBiYoK+vn7JvQRBvRkZGQENe9umJEnMnj2bw4cPExQUxLBhw1QdklAJkfRroLjW+v6TZ5m6fEOZGX9F8vKfMHX5BvafPIu/v39JJUYTExP27NlDcnIygwcPZvbs2XTv3p3du3eLpz3VnNirD59++ik7d+7E39+fMWPGqDoc4QVE0q+h999/n/3793PoQhRm7nMIPh9JYWFRuWMLC4sIPh+JmfscDl2I4sCBA+XWWu/RowcHDx4kISGBfv368cEHH9CrVy8OHDhAUVH55xZUq3379jRu3LjBruuvX7+e1atXs3HjRiZPnqzqcIQqEFU2X1Jt1lqPj49nyZIlHDt2jF69evH5558zbtw4UW5ZzfTq1Qs7Ozs2b96s6lBeqV27djFt2jQWL17MihUrVB2OUFWSoBRxcXGSh4eHZGlhIclkMgmQZDKZZGlhIXl4eEhxcXE1PndMTIxkb28vAZKZmZl05MgRSaFQKDF64WU4OjpKo0ePVnUYSlVUVFTp68HBwZKmpqY0a9Ys8XexjhFJv5a86IemJiIiIiQbGxsJkCwtLaXjx4+LHzg14OHhIfXu3VvVYbyU4kmLRb9+pSYtFv36lZm0nDlzRmrUqJHk6uoqFRYWqjBqoSbEOkEtqY0lmMGDB3Pu3DnOnDlDo0aNcHR0ZNCgQZw+fRpJrNKpjJGREbdv366T34OUlBSG29piYWHB4aBATNu3ZNWsKXz76UJWzZqCafuWHA4KxMLCguG2tgQHBzN27FhsbW3Zu3cvWlpl+wUL6k2s6ddR0l+PuPv4+BAbG8vQoUNZvnw5Q4cOVXVoDc6RI0dwcXEhMzOzTOE8dfZ80/d1HtNwHjygwqbvoZExeG75lvR79zHu2pX4+Hh0datec0pQH2KmX0dpaGjg4ODATz/9REhICI8fP2bYsGHY2dkRExOj6vAalOK9+uqygycrK4u2bduSlpZW4ZiAgAAmTpzI+GEDSdi3DRebQeUmfABtbS1cbAaRuG8779nbkJKSwtGjR8sd+9ZbbxEcHKyMyxBqiUj6dZyGhgbOzs7ExcVx6NAh7t27h7W1NU5OTsTFxak6vAZB3R7QWrVqFc7OznTp0qXMa1lZWbRv3x43NzfeHT6E3T4fodukbO+I8sRdv8mjP3Jp3EgHNzc3tm/fXmaMj48Pn3zyiWj+o8ZE0q8nNDU1GTduHAkJCQQEBJCSkoKlpSUuLi4kJiaqOrx6TV9fn1atWqnFTD8/Px9/f3+mT59e7uvTpk3j6dOnAKxf8H/VuveU9+QJZt2M2em9EIBtW7eWGePk5EROTg4nT56sQfTCqyCSfj2jpaXF+++/T3JyMt999x2JiYmYmZnh6urKtWvXVB1evaUu1TZPnDiBtrY21tbWZV7bvn07d+7cITs7GwDdcrrDVWaU9VusmDmFCQ62ACQlJ3Pp0qVSY7S0tHB0dOTgwYM1vAKhtomkX09pa2szefJkrl+/jp+fH9HR0ZiamuLu7s7NmzdVHV69oy7VNi9evIilpWWZ41evXsXX15c+ffrQ2qCFUj6rZXN9du/eXea4lZUVERERSvkMQflE0q/ndHR0mDFjBjdv3uTrr7/mzJkz9OzZkw8++KDSG31C9ajLTD8tLQ1DQ8NSx+RyOe+//z7r1q0j6coVLN4wVspn9e3ahZjo6DLHO3bsSHp6uljXV1Mi6TcQMpmMOXPmcOvWLdavX09YWBjdunVj1qxZ3LlzR9Xh1XnGxsbcuXOHgoIClcaRn59P478t23h7e9OzZ08mTpxIUnIyXV+rvPR3VXXp0J4rSUlljjdp0qSkn7SgfkTSb2CaNGnChx9+SGpqKitXruTQoUOYmJgwf/587t27p+rw6iwjIyMUCgXp6ekqjaN169Y8fPiw1LGzZ8/yr3/9C21tbeRyOduDjwHQZtS7LN25r8afpdtYhlwuLzOjz87OpmnTpjRp0qTG5xZqj0j6DZSuri5eXl7cvn0bHx8f9u3bR9euXfH09OTBgweqDq/OUZcSy+bm5ly9erXUsX37nvVt8PDwQFNTE9e3nz3Ad3H7euaOc67xZ+U9kSOTycrsAEpKShJNVHav11MAAA9ASURBVNSYSPoNnJ6eHp999hm3b9/G09MTPz8/jIyM+PTTT0t2eQgv1qlTJzQ1NVV+M9fe3p7k5GS++eYbPDw8sLCwwNzcnA8++AB/f3/09fR4+McfAPTs0pm2Lat+Uzf3z3wu37jF5Ru3AEi6dZuuxsZl/nUTERGBvb298i5KUCqR9AUAWrRoga+vL7dv38bDw4PNmzfTpUsXPv/8c3JyclQdntrT0dGhc+fOr3ymn5eXx4ULF1i9ejVjx47Fzs6OwsJCZs2axenTp+nTpw9bt24lISGBR48eMdHdnbj/3CpznrR7mWhaj+T8pYQKP+uX6zfoN3ku/SbP/ev/b3L12jWWLFlSMiYjI4OoqCimTp2q/IsVlELU3hHKdf/+fdauXcu2bdto3Lgxnp6ezJ8/Hz09PVWHpraGDx9O69atCQoKqpXzS5JEamoq0dHRJV+JiYkUFRXRrFkz+vfvj7W1Ndra2gQEBHDt2rUySy+XLl3CwsKCH1b54GIzqOT4+UsJvPPJcm4d2o2B/ou/x8HnIxnvvYK4uLhSSzmLFi0iJycHPz8/5V24oFQi6QuV+u2331i1ahV+fn7o6+vj5eXF3Llzadq0qapDUzvTp08nISGB2NhYpZwvLy+P2NhYYmJiSpJ88f2W7t27Y21tjbW1NQMGDKB3796lKl5u3ryZd955p0yP54KCArqZmEDBE5IP7iwpwfDJtl200tdj0cR/vjiu/CeYuc/h9W5vcPbcuVKvrVu3jkmTJtWpwnMNjUj6QpWkp6ezcuVKdu3aRatWrfD29mbmzJlltgc2ZCtXrmTjxo1kZWVV+72VzeL19PSwsrIqSfL9+/enVatW1f6MtLQ03n33XeLj45/d0P2r9k51SjEoFAqmLt/AoQtRJCYmVrkLnKA+RNIXqiU1NZXly5ezd+9eOnTowOLFi5k2bRqNGjVSdWgqd/DgQSZMmMCjR49o3rx5pWOLZ/HFCT4mJqbcWby1tTW9evV66br1R48eZcqUKRgYGBAYGEhKSgpubm5MdBjONq95VSq6lpf/hDlrv2b/ybMV9nkW1J9I+kKN3Lhxg2XLlnHw4EE6d+6Mj48PkyZNQkdHR9WhqUxMTAzW1tbEx8fz5ptvlhyXJIlbt26VWqZ5fhZfvBY/YMAABgwYQMuWLZUWU0FBAZ988glffvklLi4u7Nq1ixYtnu3Yeb6e/lqPDxgz2LrCevohkdF4bdnFveyH+Pv7i4Rfh4mkL7yU5ORkPv/8cw4dOkTXrl1ZunQpEyZMaJAdlf773//Srl07AgIC6NChwyubxVfk119/xdXVlUuXLrFu3Trmz5+PhoZGqTEpKSn834wZnDt/no5t2/C2hRlm3Yxp3kyXnNw8Em6mciYugYz/PmC4rS3f+PmJJZ06TiR9QSkSEhJYunQpR48epXv37ixbtox//vOfSmkbqVAoaqX9pDIUz+Kjo6OJiorim2++QUNDA4VCUWoWX7wWr8xZfGVCQ0OZPHky+vr6BAUFYWVlVen4S5cusXv3bmKio7mSlIRc/uzBqz6mpgywtmbq1Knigav64hX24xUagNjYWGnUqFESIJmamko//PBDtZu3V6dJ96v2xx9/SOfOnZO++OILydnZWWrTpo0ESIDUo0cPqUWLFpKNjY2UmJiokqbhBQUF0kcffSQB0tixY6Xs7OwanaeoqEjJkQnqQsz0hVoRFRXFkiVLOHPmDObm5vj6+uLk5FRmeeF5f19qGGFphlm3rujrNuVx3p8k3LzF6V+eLTXY2tjgt3NnrS41SM/N4ou/rly5UmYt/vlZ/JgxYygsLOT48eO1FldF0tPTcXV15ZdffmHdunUsWLCg0j9voWESSV+oVRcuXMDHx4eIiAj69++Pr68vdnZ2ZZJRdZt0L9rir/Sbirm5uSU7aopvuv7+++8A9OjRo9S++IrW4j/88ENOnjz5yhvWHDt2jEmTJqGnp0dQUBD9+/d/pZ8v1CEq/XeGUO/9/vvvUps2baS9e/dK/fv3lwBp8ODB0rlz50rGHDhwQNLQ0JDcR74t/XH2iKSIDn/h1x9nj0juI9+WNDQ0pAMHDpT53CdPnkidOnWSfvnll3LjUigU0s2bN6W9e/dKs2fPlt58801JU1NTAiQ9PT1pxIgRko+Pj3T8+HEpKyuryte7adMmSSaTvbLlkYKCAsnT01MCpDFjxlQrVqFhEjN9oVZ5enry8OGzGbkkSRw/fpwlS5Zw6dIlhgwZQnJyMtnZ2bi+PZQDvp9U64bt1kMhfLJtF3n5T+jduzfbt29nyJAhJa9/9dVXhISEcPr06VKz+OKZfHmzeGtra3r27FnjHTWhoaGMGTOGjIyMMs1MlO3OnTu4uroSGxvLmjVrWLhwoVjOEV5IJH2h1uTn52NoaMjx48dL9WyVJIkjR44wZcoUHj9+DMCdkP10bNO6yucOPH2BScvWsXHBTNbsCwKdRjx89IirV6/SqVMnUlJS+PHHH5k3bx5vvPEGN27cQKFQoK+vX2pfvLJ31CQlJdGnTx8iIiIYPHiw0s77d2FhYUyaNIlmzZoRGBjIgAEDau2zhPpFW9UBCPVXRU26NTQ0yMzMxMTEpKSxdnWbdH95MJgPnB2YO96ZDq0NGO+9ghYtWjB8+HBycnJKZvFNmzZFJpOxY8eOl57FV4WRkRHwrK5+bST9p0+f8tlnn7F27VpGjx7Nnj17Xtk2UKF+UM/Nz0K9UFtNuguePiXuPzext3q2b3zMYGvatWzB48ePycrKYs6cOZw4cYLs7Gw8PDwwMDBgxowZmJqa1vpDY7q6urRt27ZW6urfuXMHW1tbNmzYwLp16wgJCREJX6g2kfSFWlNbTbp/f/SYoiIF7VoaAKCtrYVDf0s6tG9P27ZtWbZsGSNHjsTAwICOHTu+8gbwtdEk/cSJE5ibm5Oens7Fixfx9PQU6/dCjYikL9Sa2m7S/XzOM+tmTOb9+2USYZMmTfjzzz9r/Bk1YWRkpLSZfmFhId7e3jg6OjJgwADi4+MZOHCgUs4tNEwi6Qu1praadLduoY+WliaZWf87d/NmuhQVFZWp456dnU2bNm1e8kqqR1kz/bt372Jra8u6detYu3YtISEhNSqpLAjPE0lfqDXlNen+4YcfSEhI4PLly+jo6NSoSXcjHR0sunfjx9j4kmM5uXloaGiUmQUnJSVhbm7+kldSPUZGRmRkZCCXy2t8jvDwcMzNzUlLS+PChQssWrRIbesPCXWL+Fsk1BoHBweSk5NLzfa7du2Kqakppqam9O3Tp8ZNuhe+/w7+IeHsCj3JtbR0vg05gSRJZGVlce7cOZ4+fQqopkm3sbExkiTx66+/Vvu9hYWFLF68mFGjRmFlZUV8fDyDBg168RsFoYpE0hdqTZ8+fbC0tKywZ6z1wIE1btLtOmIYX344k+W7DmA+aQ4pd3/j9ddf59ixYyW9aocPH86DBw8YOnSo0q6pKoyNn92cTk1NRaFQVPl9GRkZDB8+nDVr1rB69WpCQ0Np3brqzy4IQlWIpC/UKh8fHzZv3lxu8ps6dSq/P8rhh1U+tNBrVnI87d59Wug1w8yk8p09c8Y5c/vwXgJ8P+FpYRHBwcHcvXuXuLg4PvroIy5fvsyff/6JkZFRSd2fuLi4aiXi6iquXa+trcWYMc5oaWnRuHFjLC0smDdvXslzCX936tQpzM3NSU1N5fz583z88cdiOUeoFeKJXKHWVdSkG2C4rS2/3rxBwr5tSm3SLZfLWbduHe7u7pw/f56wsDBOnjzJ48ePad++PY6OjowePZoRI0agp6f30tdY0wqhhYWFfP7553zxxRc4ODiwb98+MbsXapVI+oJKpaSk0LdvX8YPG1jrTbqfPn1KZGQkYWFhhIWFcf36dXR0dBg2bBhOTk44OTnRrVu3al9DTSuErl+/nqCgICIjI1mxYgVeXl5idi/UOpH0BZU7ePCgSpp0p6amlvwCOHfuHAUFBXTr1o3Ro0fj5OREr169MDMz4+eff6ZLly7lniMgIICJEydWO/bZa79mf/gZWrRoQUhISKlCcXK5nG7dunH48GEsLCyqfV2CUBmR9AW1oOom3bm5uZw5c6bkl8Bvv/2Gjo4OhoaGLFmyBEdHR9q3b18yPisri969e3P//v1qVwhdted7Dp//N5dvplJYVMSIESPYsmUL3bt3LxnzfIVQQVAmkfQFtaEuTbolSeKnn37C1tYWExMTkpOTkSQJS0vLkmWgFStWEBkZSXZ2drUrhI76cDGudsMwNeqCi/dynhQWodusGVevXkVXVxd49kvF0NCQy5cv07NnT6Vfo9BwiaQvqB11aNIdHBzMzJkzefDgAQ8ePCA8PLzkZvCjR4/Q1tamsLAQgOxTh0rtPqrW55yPZLz3CuBZl7Hnt5fa2toyZMgQfH19X/6CBOEvorSyoHb69etXKqkrFIpXfoPz+Qqhbdq0wd3dHXd3dxITE7G1tcXQ0JCM9F95+PiPl/qcZxVCW3I/O7tMxUwrKysiIiJe6vyC8Hdiq4Cg9lSxo6WiCqHu7u5s3rwZWaNGWPWs/k6fv9PS0kRHW5NmzZphampa6jVVVAgV6j+R9AWhHLVdIbSYx/qt5OU/oaCgoMxrqqgQKtR/IukLQjlqq0Lo8+Zt2EZoZAxe7u9SUFBQ5klhVVQIFeo/kfQFoRy1VSEUnu0O8li/lcPn/82ZLWtopK2NTCYrs4yligqhQv0nkr4glKM2K4TOXb+VAyfPcmDZx+g1bUJM0jV6dO9Ofn5+qXGqqBAq1H8i6QtCOWqzQuiO4GPk5OZhO9cLw9ET+NfZCBISEwkMDCwZEx0dTU5ODuPHj3/5ixGE54ikLwgVqK0KoYro8JKvQ6s+AyAuLo4pU6aUjNm4cSOLFi2iSZMmyrsgQUAkfUGokKOjIzNnziQjI6PMa/369cPWxoZFW/zJy39Scjw8Jg7vSa4Y6L+4cmde/hO8tuzC1sam1HMJcrkcMzMzFi5cqJwLEYTniCdyBaGGXmWFUEFQFjHTF4QaMjExwd/fn/0nzzJ1+YZSM/7K5OU/YeryDew/eRZ/f3+R8IVXSsz0BeElqbpCqCBUh0j6gqAE6lIhVBBeRCR9QVAidagQKgiVEUlfEGqRKiqECkJlRNIXBEFoQMQURBAEoQERSV8QBKEBEUlfEAShARFJXxAEoQERSV8QBKEBEUlfEAShARFJXxAEoQH5f3W9roE6xHknAAAAAElFTkSuQmCC",
"text/plain": [
"Graphics object consisting of 61 graphics primitives"
]
},
"execution_count": 15,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"graphs.CubeConnectedCycle(3).plot()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Manifolds\n",
"\n",
"More functionalities in index notation for tensors"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"E. = EuclideanSpace()\n",
"v = E.vector_field(-y, x)\n",
"t = E.tensor_field(0, 2, [[1, x], [-2*y, x^2]])\n",
"v['j']*(t['_ij'] + t['_ji']) == v.contract(2*t.symmetrize())"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Vector field on the Euclidean plane E^2"
]
},
"execution_count": 17,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"v"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Tensor field of type (0,2) on the Euclidean plane E^2"
]
},
"execution_count": 18,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"t"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(X^j, X_ij, X_ji)"
]
},
"execution_count": 19,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"v['j'], t['_ij'], t['_ji']"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Field of symmetric bilinear forms on the Euclidean plane E^2"
]
},
"execution_count": 20,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"t.symmetrize()"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "59aa462f569c459b9729468e6a4dc067",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Interactive function with 3 widgets\n",
" k: TransformFloatSlider(value=0.0, des…"
]
},
"execution_count": 21,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"@interact\n",
"def func(k = slider(0, 10, .1), j = (-10, 10), l = range_slider(-5, 5)):\n",
" print(\"k: %s\" % k)\n",
" print(\"j: %s\" % j)\n",
" print(\"l: [%s, %s]\" % l)"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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",
"text/plain": [
"Graphics object consisting of 1 graphics primitive"
]
},
"execution_count": 22,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"var('t y')\n",
"plot_slope_field(y - t, (t,0,10), (y,0,6), plot_points=25)"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Cellular Automata\n",
"\n",
"https://doc.sagemath.org/html/en/reference/dynamics/cellular_automata.html"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Graftal Lace Cellular Automata with rule 20336027"
]
},
"execution_count": 23,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"G = cellular_automata.GraftalLace([2,0,3,3,6,0,2,7])\n",
"G"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Graphics object consisting of 3491 graphics primitives"
]
},
"execution_count": 24,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"G.evolve(42)\n",
"G.plot()"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Elementary cellular automata with rule 151 and initial state [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]"
]
},
"execution_count": 25,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"init = 200*[1]\n",
"init[100] = 0\n",
"init[101] = 0\n",
"ECA = cellular_automata.Elementary(151, width=200, initial_state=init)\n",
"ECA"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Graphics object consisting of 1 graphics primitive"
]
},
"execution_count": 26,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"ECA.evolve(200)\n",
"ECA.plot()"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath 9.1",
"language": "sagemath",
"metadata": {
"cocalc": {
"description": "Open-source mathematical software system",
"priority": 10,
"url": "https://www.sagemath.org/"
}
},
"name": "sage-9.1"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}