Dynamic Cutting Forces using Newmarks Method.ipynb

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  {
   "cell_type": "markdown",
   "id": "b276216c",
   "metadata": {},
   "source": [
    "## Dynamic Cutting Force Calculation in Face Milling by solving a 6 DOF Equations using Newmarks Method"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f25aa7e2",
   "metadata": {},
   "source": [
    "#### References:\n",
    "    1. A CUTTING FORCE MODEL FOR FACE MILLING OPERATIONS H. S. KIM and K. F. EHMANN: (Received 2 January 1991; in final form 20 August 1992)\n",
    "    2. SS.Rao Mechanical Vibrations"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05b29b45",
   "metadata": {},
   "source": [
    "### Model and Equations"
   ]
  },
  {
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5REAMkgAkJxnrgj0xqeBPhD4q+J3hvTdR8aeKLhNB+zbLG3jn8yXapwuQRtA4PUluMcV1Oo/s7eGT8SNKtrTTL6PQJNNlNy8dwxH2hGUKWY5ILB84GAdvAGDQAn7Ok1nN44+JL6dOs9rJqET28q8CSPzLnawHoQQfxq/8cPjBYaXod54V8KalPJ4luJEhL6e5DWmHBYbx/GcFNq8jPOMc4/iD9mq70iOe++GXiW9s7tlZWtrmcx+ZGRygljAPthhg55I61wHws1GHS4r3TdD0rT7XxhGZWudf1q7j8mwhU7S0SkfeGe2SeuSOAAUvCHgKG+8eXvhb4m2Wr22u6oqSWlzEfNkjkZiWkk5IZTySTnofrV/4qTWS+F9C8CW2uT+Jdf0K7lhiNjD+5jtyMLE2PvyrsT7ucfOCcitLw+2s+LZ7/wAL/Cd7mZLrB17xbqPyT3GeMBvvJGcfKnLnnOBur3L4a/CPQfhzp6G2iS91dlIn1KWPDtnqqDnYvsOvcmgD4y8JJfzeKLSHR9Ht9Zv5SUt7O4h81GYg/MUyAcdfmyvHIIr728MpqkXhXTE8QiFdUW2QXSwABBJjkDHH5celYetaXongXTde8XaLoNomptC0txNHD8zjjcxxzgfeYLjdj15puja/J4q0GWw8P+KLK91GGKJrjWLO0HlIJC5ARCzKJAq8qxOMqSOdtAHWR3ltNdzWsVxE9xbhTNCrgvGGztLDqM4OM9cGo9T0201nSrrTdShWe0u4mhmjboysMEf/AF64zQ418SXVvqWlaoBrWjyix1PUksj5OohCVkjIyoblQ4KkiMnAz8ynvaAOL8O/CHwL4Xkim0zw9atcwkMlxcgzyKwOQwL52nPcYrtKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArO13S59W0S6sbHUZ9KmuQFN5ageagyN20noxUFQ3bOe1aNFAFTS9Ls9F0q303TIEt7S2QRxRoMAAf1PUnuTmrdFFADJ4Irm3eC5iSaGRSrxyKGVgeoIPUV8zeFfhp4c1P8Aac1uxs7L/iRaEBcm1lwyNNhMR4PJQMzEDkYQA8GvpyvHvATxaR+0b8QtJudhuL+O2vbdzwSgXLKPXmUZ5/h6egB6F4a8F6P4RvNSl8PxSWkGoyLK9kj4t4nAILRp0TdkZA4+VcAYrdMsYbBdQd23Ge+M4+uKZdRLPZzRSRCZJI2VoicbwRjb+PSvny0+Der2mlRNb+GbaLUE0rTBv86EFbyK73zsCDw3lAAuOucAnJoA9r8X+Fo/GGirpdzqV/YWzTK8/wBhl8tp0AIMTNjO055xzxXgv7SPw70fQtD0PW9A0qOzt7ZxY3KWqBAUxlCxweflYbjnqM54r38a+P8AhNj4eNtz/ZwvhPv6/vChXbj6HOfwrjvj/qVtp3wV1pbp0D3flW8CMcGRzIpwPUhVZvopoA6bwDoej6F4L06Lw/pSaVb3EEdy8AYO+90BO9x99ug3Z7ccYro6xvB1pPp/gXQbO7Lm4t9Nt4pS4+YssSg598itmgAqK2tLeyh8qzt4reMsW2RIFGSck4Hcmm319a6ZYT32oXEdta26GSWaVtqoo6kmqei+ItM8QwNLpVw0gUKzJLC8LhWztbY4DbWwdrYw2DgmgDSVQowoAGScAdzyaWiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKjuVme1lW1kWKdkIjd13BWxwSMjIB7ZoAkqlq2r2Wh6bJf6nKYrePAJWNpGJJwAFUFmJJ6AE15pbfE3VtA8Zw+GfGFjfXN/DYkn+y7HzVvW3jbOmOdpXgqANrbs5GCN/WtQvPDfiaz1K+1HUdTg1WY29toUNmjbG2goUOAVYbXLM7gYbttFAHZWN9banYQXtjKJre4QSRyAEbgfY8j6HkVMXUOqFgGbOATycV5Hq/jay+EXh3W/t+tW2ta0twZYdHjmWIW8ckjMgCdQMPuY8k5HbFeG+I/GmrfHH4gaDa2S2vh+8WB7aOSa9YRFyGZm3BcruGFAAJJwMnNAHf8AiL9pbUPEP2PRvhro8sWqX0xgEl6qsQWO2PywGxuOcktwPQ9Rw/jDwv4r+FniHTPEUWrXl94pW3e/1O8WAzQ2qu3kpmRwQxbLKcjjjHUGu08I+APDfwe0eHxN8VzDBrNvfPJpsdrcNI8oVVwAgOGw2TnAA3DceQBKlj4y/aJ1eG51OOfw/wCBIpN8Ua43XBXjIz99jyN2Nq9skHIB6L8D9b0rWPA4mtPEV3rOqTP5+pC+mzNDMQAQE/hj4+XHB9c8D0qvEPEf7OFjbSw6n8NNWu/DuqWy/KPPdlkOMZD53IT35I9hXmPgbxv8aPEt1a6X4e8QtJ9pWWWOS8W3f5UIDks6M3BYce/FAH1Nq1npNrNPrl/crp8q2T2j3xmEflxE7up4BBGQa+QvHPifXPiJqEOkQ6xJqPh3RpfKh1i6tXiQ7xhZLllBAPBUMQOMkgZat3wz4R8W/GLxxq2g+OfFd15Xh+YpcxhvMBkDtGfLXhB91vmx+BzWzF4a8b/AfVrw29i/inwVeh/tsEUeQ0ewgmRcMYyAeTyrAYJ9ADd8A/HjUdJ1KLw98WI1tnZQLbWFA8uX0Zyvysp7SJx69yPf45EmiSWF1kjdQyOpyGB6EHuK+R9N8Gy+PPC93r/hPw3NJ4fguZIf7CnvWeaA/KzS2cuBg4IBRgRled5xt6bw14i8Y/AZLCy8Y2dxqHg27RTBMsYEti7jeUIycMDuzGSRkEqxwcgHvnizw1aeMPCt7oWoSSRQXaqC8WNylWDqcEEH5lGQRgjg1V0u60pPF1xp42XXiCOxiOoXsVvtGwH92rtyFY7mYJnpk9MV5NpX7TOnw+OtS03xKlv/AGGZz/Z+p6ejvti6qZUOSSVIztAKnI2+npFq9s2iwf8ACIabb6xo+vtPLc30sxlHmSg4aSNhmSMn5GG4FQAMYHAB2dFZfhnRn8PeGNP0ma8e+ezhERuHGC+PbJwOwGTgADJrUoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACivNPiH8bdF8E339jafbS67r7fKtjaHiNjjAdhkgnOdoBP0zmuSb4n/GiXE8HwzjSBhvCSRS7wp5APzg5/D8BQB7bcaVYXeo2uoXNlBNeWYcW1w8YLw7hhtp6jIAziuG+MnxGv8A4aeG9N1TTbO1vDcX6wTRXDkEx7HY7cHg/KPmOQPQ5rzTVP2jPE96q+GtP8IPo/ia8kFrG13Kf3LOdqsI2RfmyeN3Axk5HFQS/sxaxqloureKfGSDVZX8y/kljaZVTufNZgSQo7gDtnAyQDh9E8JXXxy+Jnia4Qy6JcOpvVWaMyxxkuqiJ24IJByOP4TxxXD+INX13VYbSx1lSY9BhFhGohC+QASNrMBycg9T64r6N8WfF7WvF3iWfwf8GbQXF625brV/lCqq8FkY8ADpvPX+EEkE83rP7MHiKLS4rjRvEcd7qt3kaktwzRo+4hiQ/Jb5gM7hz146UAZvw68I2fj7xrp9/wDFXxRDf313bCax0c3O+SeMDI3lfljGPmEYIZuSQADn6tiijghSKFFjjjUKiIMBQOAAOwryv4VfArSfh/t1LVHj1XXeCtwUxHbcYIjB78n5jz0wBzn1agAr4z8EeNm+Hlh4e16HR5L9xZ38ZjEpQMWlT94Tg4UYA6dq+zK+Wfg59uMnh5dJ+zrff2Fqn2droZi3+eMbgOcZ60AdL+zJfPrOreNNevbq1W91a8SaSzicBlO6R2fYSSEzLgH2Ir2/xHo//CQeF9T0cXL2n2+1kt/PjGWj3qV3Y4zjPTIzXyr8BIQ/7QUzandLHfRC7YJYqht55PmDgFPlCYJZdox8q4wK+mfHXjXT/AfhibV9RVpnzstrWP79xLgkIPyJJ7AE+1AHyn8Q/h5rHwmm0FLzxFfXVhcSud1mrxrbhWUkJl8bzuJxx069cd54i8Tab+0fB/wj3h231PTdW02GS+txcMn2ebBVSsm0kg8ja3QEn1r134ZDVL/web3xP9tuLjVJBqB+27DEqyhXWOFA7lI0GAA205ycV5N8Wfh54u8N6r4p+IWieLpLK2nCPJHbySQzMmUQJlOCAcYOegoA8GuvBviWzuL63uPD+orJpxP2srauwhA7swBAXjIPQ9cmvs/4ReJPDOvfD3TofCR8mGxhWGSylkDTW7DP38dckEhsAHOeOQPNPhP8d9Gs/D2h+HfEF5rmra5d3Jhe5kjM21pJCEBYuXYAEDgE+1bnjf4Q6rpHiJ/Gnwjuf7O1jO6501SEhuhwSFHAGSOVPB65B6gHtFFeefDX4waR8QC+nSwyaTr9uCLjTrjgkjhih/iA7ggEdxjk95NfWltII7i6hidhkK8gUkfQ0AT0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVm+I9bg8N+GdR1m7/ANTY2zzsM/e2jIUe5OB+NaVec/HLxDoukfCzWLHV79YLnUbV4rSBfmkmfjGF/u5xk9h74BAOY+D+m6X4P8BXHxH8Xzj+0Nel8+e88h3MKSSYVQFBIDMQSQAPmUdhXomj/Enwrrurw6XpuoyteTvLFHFNZTw7pIhmWPMiKN6jkrncAQcYNcf8PpLT4mfs/wCm6Pb6l9lntobe0uTEAzwmB1IBHH3ljH4N7Vu6b8Ml07xNaawurNIbXWL/AFURG3wCbpNrJnd0XLEHvkenIA/4seAdP8ceDbkTqYtSsInuLC6jba0cqqSAT/dJAyPxHIFeJ6JffEX9oTTrfR7u5i0vw7ZKqahfxRHFzKoBAIz878q20EKOp/hFewaV4xt7S38aapH4oi1zTdLQzRLJJE8kDqrl1xGF/dkhVXIySrHJBBOV+zVpEul/B+GaeNozqF5LdKGBBK4VAfoRHkUAdd4d8OeGvhT4O+z2gW1tY9vn3LKWluZCdozgEsxJAVRk8gAVoan4ssNM0G11Y2+oXUN4VEENrYyvM+UL/wCq27h8qknIGMetP8V+G4vFWgPp0t1PZSCWOe3urcgPBNG4dHGeDhlHB/TrTfDOi6lpEN02t65JrV5cyh2ma3WBEUKFCqi5AHBPUkk0AY1vr1zo+sW0uq65/atrr7u+mWkFmA0a708sJt5ZRG+52fONpIwOK7SsXwx4efw7p8sNxql1qc80m+Sa4IVVwoUKka4VFAUcAe5yax/FHxM0vwzrD6UumazrN/FAtxPb6RZ+e0MbHALnIAzjpnP5igDl/jt8VdZ+GltoyaBa2U0upmffJdozeWIwmNoVhz+875HHSvnb4Z+KJ/8AhLtC0G+t0udNu1fR3jTcrrFdSDewZTncCQR7DHvX074++GenfGDTdAvNSuNR0j7IrSiAxKsu2UIWR1OdrjYvrjng18+eC/hfr+meNvD/ANtnl8O6hI19KlzdQArA1sgKuFbhhuYEk8YoAX4EXr2Xx0ih8N6cZbO582Ii/wBrT29v1LbhtAcYAOBzkjHNfYV7ZwahYz2d5H5tvcRtHKmSNykYIyORx6V8gfAmyiuP2gV/tW9a8urc3Ukd1bS70uJhkFyx+8rKXOe+RX1Ne+LrHTfGC6Hf7bZTpragbyaQJEqiVItpJ75de/cUAV9C1qCS6uLHRFSfQdFtRbNcx75WedODEmAd+xF+bGTuYAcggbUFxpviHRhJCYL/AE+8jKkModJVOQVIPXuCD7g1k634Yur2bTRo+pyaXZW0rG6sbbMKXKOcth4yrI45IIOCScjJ3DY0rSrLRNKt9N0uAQWlsmyOPcWwPckkkk8kkkknJoA8f+IXwKutR8Uab4g+Gk+l+HLuzi2GFIBBHuDEiQeWh+b5iCSOirVLwp8T/FngbxifDHxqlRIJ1xZav5aiMkdMuoAKn1Iypxuxk494rh/jHZ6Zc/CXXpNYsEvUtrVpoVbgxygYVlbqpBPUdsjvQB4j4s0+X44fF0v8OLKOxi0r93d6+HKJKwJKyZUZJ4IUjJIxkgDjp4P2U9Llt9+r+KdRub58mSaOJVVj9G3H9efatzwja3Hhb4d/D3SPC91Bpj+IUM95ePbiUhms3uC2CQCQVAyewH0re8A+KdY1Tyr3XdSjvIbzQLbVDDa2oCW7szhkTaC7cKAQSx3A4xkKADzubQPH3wC2arpOqv4n8IxMPtllIpVoEzjIUk7cDHzKcZ+8uK938O6/YeKPDtlrWkSGSzvYhJGSMEdipHYgggj1BptlqGl+LNFuPsxa4tJfMtZ45oHiYH7ro6OAynnoQK8x/ZyZrPw14i0IP51vpOtzQwTbgwZcDoR15BOcD71AHsVFFFABRWNrnie00O+06wkguby/1N3S1tLVAXkCDLtliFVVBGSSOo9av6bqVtq1it3ZMzRMzp8yFSGRijDB9GUj0OOMigC1RRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFcl8SNW8R6J4UfUPC0mkQPA266n1YuI4YcHLDb1Occc9ehrrajuLeG7t3guoY5oZBteORQysPQg8GgD5e0n9oTW9L8fWH9u+JbLWtAmAW9FjpzRJbkkjKb0WRtvB5zkZGM19MjV9POjx6t9tgGnyRLMl0zgRsjAFW3HjByMfWvFPjP4Wt7Yxv4g8S6ynhq6lWOz8P6JpSERuqA/eDBTkqxG4Z+bjhTWf8ABjxnq/g3VIPCHjO01Sx0bUJWTw/c6pa+QwwxPltn+8GXAycMcDgigD6Hpk00VvC0s8iRRoMs7sAqj1JPSuU8feELvxHpy3fh++Om69Zo62lzklHRxh4ZF6FHAHPVSAw6Vh/DvQ/EmpeC7TTPiHY6a2lQ20EcGnvaNHKGiIG2Vd5RkGwEcfNwSBgCgDoL/wAZXGkeLYbDVdFuIdGugEttZiJmiMpKALIEU+UpMm0MxGSrcYwa6S7vLbT7OW7v7iK1toVLyzTOERFHUljwB7mvNo7+18D+HbdfiXeWuj6XbXoh0m3t55pGkVS5UyhOGXBUhMFVCrk54HhfxW+Mmu+No9c0fTkhl8LJdoI7mG3dSVUkpuYnjcVJwQOnHSgD1Px1+0VF4P8AHsmkW+m2+qaZHbB/tNvcAs0jJuXBHy7c4B79T2waHwo+Gtj8RdNj+IfxEmk12/1KaR4LeViIYVSRkwVHUZU4X7oGBiuc+HHhT4c+GdFtviDrXiaLUdONsbKewuLEsq3jRAyR4IzIMFsDaOCDkitG01HxD8Zw3hv4dWw8I+BdPcxTXEa+W0oOTtwuM5zkoDjnLE5FAHNyavP4F+MV+PgXOdetruPzbvTba0eaKPaxzGCPvKM5DKeN23J79lB+1hpywhdR8KXkN0uVljjuVZVIPqQD+BHFew+DvAfh7wHpf2Lw5YJb7gPNnb5ppyO7v1P06DPAFbbWFo9x9oe1gabIPmGMFsjoc9e1AHgUV58QPjtqFrZ6lo0nhrwQzrNdg7t12qnITeQpfJH8ICjqckAV79Z2lvp9jBZ2UKQW1vGsUMSDCoijCqB6AACpqKACiiigArgfEvw1fVfFlxr9h4q1fQYruCOPU4NOfY1yIslGD9UIBxwDkemTnH+M/wARtc8JGz0vwitv/aM1rcX1xNcJuWG3iUkkDONxIIGQRkY715vD44+NOoaloemHW9L0641yybUIJJLeICG3VS2+T5G2ghTjgn6UAUodW/sbwv8AE/U/DfirWJNPkmsxp2qPLKjyTlv3kZMgDmXbgEgfdGSRxXfXtpFq3xk8Bpft/aUOpeGZ4rt5JWZJkaEgsB0+bPOMZzntXl0/xD+LeoeBZtfn8RWd3pL6gNNijfTrd2u5SCcJGYeRgfxYPPQ84sxj4uXnxfstDl8Q2MXiDS7N54p5EiENpFLEpdSBER02jG0gHp60Adl8CvD1p4f+NPjzTrBFNrp58iAyDdIq+YcAN6YGD64Fei+M/AGp+IfG2m+I9L1SKzn0q122sciEq83nI/7wD70e1SMAgg4IPFfPnhm4+JmheGtf+J1hrVha2l7cE3Ul0qFtQcOVzGuwjAdmAwV6EDgYrqYPF/xy/t7RNE/tHTpb/XLU30EbW8WYYcbsyEIAvQjucjHJoA9v1PWNW074g+H7FiraZqkU8UgWEHy5kj8xfm3bhkK/O3HAHVgRf8M6lc6nbag14ys1vqVzboVXHyJIQoPvjHNeU/AvXvGPjDxRreteI5dOmsLRWsDPb2saNPcBkOQ6rllCDnJ/iTg449sht4bdWW3hjiDu0jBFC7mY5LHHck5J70ASVmeJdEh8S+F9T0W5wI7+2kgLEZ2llIDfUHB/CtOigDyn4H+MPtGhv4H1w/Z/EPhvNrJA5OZYUO1XXIGQBhfoFPcV6lcrM9rKtpIkU7IRFJIhdUbHBKgjIB7ZGfUVwHxC+EGmeNbpNX067m0HxFCP3ep2WVZ8dA4BBb2III9cDFcS/wAOvjrCpitPiJYyREEbppZA3p18lj0x365+tAHW+KPE1v8ACL4Z3f8AaepWE+sz+c9otvAYGup5Gy0hjLuSdzbmbOOcYHArxnwtZfFH4L6LF4r+wC80K9UT3+ntLlkzwGkGMo2MHcMgZAb0rS8RfAP4gWLR+KV8Qx+JtZsZEuPIn3yO+wggKZCd+MD5TjI4HpXXaX+054cj0OOPxZpmo2usxkw3lnBbhgrA4J+Zlx3yp5GCOeMgHp3gfx3onj/QE1PQbkPgAXFsxHm27n+Fx26HB6HHFdJXh3i/4WatoOqDxz8F52sb2RfNudKTAiuUOD8qHj3KHj+7ggA2NN+OmoeJ/B17H4Y0ND42sQPO0a63YcKcSPGMhnx/cyGHvjkA9S1rRtMvLqz1jUHe3n0nzJYbtJjH5SsB5gbsVIUZDAjgelM0fxLb6rp0F9PGdPgvZzFp/wBrcI92u0srKp5BYBmCn5toziuE+HHxg8O/FXT20TWLaK21VoQLiwuADDdD+Ly853DvtPIB7gE12Wr+H9Q1jUtOjuL6L+yLe7NzPbIhRpgoBhjOD0WQBy3GdoXaQSaAOjooooAKK8l+MPxYu/C+fD/gqM3viQR/argJD5q2duoLszDpkgdOynPGVz6N4Z1lPEXhXS9ZjAVb+0iuNo/hLKCR+BOPwoA1KKKKACiiigAooooAKKKKACiiigAooooAKKKKAI50kktpEhlMMjIQkgUNsOODg8HHXFfLfxG8P6DpOovpPjHxb4w8T+LIrfzrNrSBfJhLfc+RiSORk7W6EdxX1RWR4p0m/wBc8M3enaRrEuiXk4UR38Me9ocMCcDIzkAjqOtAHCfBL4lz+M9Fl0XX4pLfxDo8aJcrNkPcJ0Eu04IPQMPUg/xYF74r/Fu2+F0el+bph1OXUHcGJbkRGNFxlvunPLAAcd+a8Q8eWWifD66bWfD3xN1PUfHdjMIZxcEzGQfddCSCF285Dsw4xjNdD8F/h3YfEKNPH3jfXZtfvorhlFnNKWEDIcjzSeT1DBBhQCM5yQADyvV77xt8W9c1SfTLfWdXsEvmuIrMO862Qlc7F9FGBjjAwpPY1pfF3wTH8OfE8Gj6VfXNppGsW0U9zbm783ayuchlULuVTypI55wc5x694o+JmkaPf3fhT4JaJa33iDU8ma50y3QRRPgjdleHZRk5+4Cckn5hUmj/ALONtqOh31z8QtXutW8S6hHj7aJ3cWjAfKVJOZCMDO7jHAA6kA+fLPRdM8PeJZNO+Ic98LG1QXMVvpuJBe7wpQo5ICqylTuxnAxgHp9r+CJdIuPA+k3PhvTzp2lz2qS21s0YQopGRkc5Pvk565Oc14l4e+BWnfDy4TWPFqr4rvXnW30vSbZ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    }
   },
   "cell_type": "markdown",
   "id": "a8fb4b36",
   "metadata": {},
   "source": [
    "![Capture.JPG](attachment:Capture.JPG)"
   ]
  },
  {
   "attachments": {
    "Capture2.JPG": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "a7aa5e55",
   "metadata": {},
   "source": [
    "![Capture2.JPG](attachment:Capture2.JPG)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "413e3fbd",
   "metadata": {},
   "source": [
    "### Import Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e4350428",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np # Numpy\n",
    "import scipy.signal as signal # Signal\n",
    "import matplotlib.pyplot as plt # Plotting"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "749ec34d",
   "metadata": {},
   "source": [
    "### System Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3f5c0d8c",
   "metadata": {},
   "outputs": [],
   "source": [
    "feed = 0.15 # Feed\n",
    "app_ang = (45 * np.pi)/180 # approach Angle\n",
    "doc = 1.5 # Depth of Cut\n",
    "woc = 100 # Width of Cut\n",
    "y=woc/2 # Half of Width of Cut\n",
    "dia = 100 # Diameter of Tool\n",
    "kc = 1800  # Specific Cutting Pressure of Material\n",
    "z = 6 # Number of teeths in tool\n",
    "cut_speed = 1000 # Cutting Speed in \n",
    "gamma_r = (14 * np.pi)/180  # Rake angle\n",
    "gamma_a = (8 * np.pi)/180  # Axial Rake Angle\n",
    "ka = 0.375 # Axial Force Constant\n",
    "kr = 0.67 # Radial Force Constant"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d45678c1",
   "metadata": {},
   "source": [
    "### Speed in RPM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1ae780c7",
   "metadata": {},
   "outputs": [],
   "source": [
    "speed = (1000 * cut_speed)/(np.pi * dia)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3b9aea55",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Speed in RPM: 3183.0988618379065\n"
     ]
    }
   ],
   "source": [
    "print('Speed in RPM:',speed)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e24626f4",
   "metadata": {},
   "source": [
    "### Get Minimum and Maximum Contact angles that the tool is in contact with the workpiece "
   ]
  },
  {
   "attachments": {
    "Capture3.JPG": {
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    }
   },
   "cell_type": "markdown",
   "id": "3fcd7395",
   "metadata": {},
   "source": [
    "![Capture3.JPG](attachment:Capture3.JPG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "ac5c3e19",
   "metadata": {},
   "outputs": [],
   "source": [
    "def angles():\n",
    "    psi_min = (np.pi/2) - np.arcsin((2*y)/dia) # Minimum Angle.\n",
    "    psi_max = (np.pi/2) + np.arcsin(2*(woc-y)/dia) # Maximum Angle\n",
    "\n",
    "    gamma = psi_max - psi_min # Difference\n",
    "    k=int((gamma*z)/(2*np.pi)  +1) # Number of Teeth in Contact\n",
    "    return k, psi_min, psi_max, gamma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "45a6c828",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n"
     ]
    }
   ],
   "source": [
    "k, psi_min, psi_max, gamma = angles()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a2665c0",
   "metadata": {},
   "source": [
    "### Feed Speed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "bd96375f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.03183098861837906"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vf = k * speed * feed *(1e-3/60)\n",
    "vf"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80f5e6ef",
   "metadata": {},
   "source": [
    "### Teeth angles of specific numbeer of teeth in contact at an instant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "a8ff74d2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def teeth_angles():\n",
    "    li=[]\n",
    "    for i in range(k):\n",
    "        psi = psi_min + ((2*np.pi/z)*(i+1-1))\n",
    "        li.append(psi)\n",
    "    return li"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "b714fd13",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.0, 1.0471975511965976, 2.0943951023931953, 3.141592653589793]"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "li_ang = teeth_angles()\n",
    "li_ang"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6211c8ae",
   "metadata": {},
   "source": [
    "### Static Forces in Tangential, Radial and Axial Forces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "939c3664",
   "metadata": {},
   "outputs": [],
   "source": [
    "def abc_forces():\n",
    "    li_force=[]\n",
    "    li_rad=[]\n",
    "    li_axi =[]\n",
    "    for i in range(k):\n",
    "        a = feed * np.sin(li_ang[i]) * doc\n",
    "        force = (kc * a) /(np.cos(gamma_r) * np.cos(gamma_a)) \n",
    "        force_rad = kr * force\n",
    "        force_axi = ka * force\n",
    "        li_rad.append(force_rad)\n",
    "        li_axi.append(force_axi)\n",
    "        li_force.append(force)\n",
    "        \n",
    "    return li_force, li_rad, li_axi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "59a94e76",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tangential Force:  730.06\n",
      "Radial Force:  489.14\n",
      "Axial Force:  273.77\n"
     ]
    }
   ],
   "source": [
    "li_abc_ft, li_abc_fr, li_abc_fa = abc_forces()\n",
    "print('Tangential Force: ', np.round(sum(li_abc_ft),2))\n",
    "print('Radial Force: ', np.round(sum(li_abc_fr),2))\n",
    "print('Axial Force: ', np.round(sum(li_abc_fa),2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5046d269",
   "metadata": {},
   "source": [
    "### Torque"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "a7ce6e05",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "36.503"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torque = np.round(sum(li_abc_ft),2) * (dia/2) * 1e-3\n",
    "torque"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "908cf7f6",
   "metadata": {},
   "source": [
    "### Static Forces in Inertial Reference"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "7ea6d3b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def xyz_forces():\n",
    "    li_force_xyz = []\n",
    "    li_rad_xyz =[]\n",
    "    li_axi_xyz = []\n",
    "    for i in range(k):\n",
    "        ft =  li_abc_ft[i]*np.cos(gamma_r)*np.cos(gamma_a) + li_abc_fr[i]*np.cos(app_ang)*np.sin(gamma_r) + li_abc_fa[i]*np.cos(app_ang)*np.sin(gamma_a)\n",
    "        fa = -li_abc_ft[i]*np.sin(gamma_a) + li_abc_fr[i]*np.sin(app_ang) +li_abc_fa[i]*np.cos(app_ang)*np.cos(gamma_a)\n",
    "        fr = -li_abc_ft[i]*np.sin(gamma_r)*np.cos(gamma_a) +li_abc_fr[i]*np.cos(app_ang)*np.cos(gamma_r) - li_abc_fa[i]*np.sin(app_ang)*np.cos(gamma_r)\n",
    "        li_force_xyz.append(ft)\n",
    "        li_rad_xyz.append(fa)\n",
    "        li_axi_xyz.append(fr)\n",
    "    return li_force_xyz, li_rad_xyz, li_axi_xyz\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "24a54409",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "XYZ-Cordiante X Force:  541.4\n",
      "XYZ-Cordiante Y Force:  290.65\n",
      "XYZ-Cordiante Z Force:  -18.09\n"
     ]
    }
   ],
   "source": [
    "li_force_xyz, li_rad_xyz, li_axi_xyz = xyz_forces()\n",
    "print('XYZ-Cordiante X Force: ', np.round(sum(li_force_xyz),2))\n",
    "print('XYZ-Cordiante Y Force: ', np.round(sum(li_rad_xyz),2))\n",
    "print('XYZ-Cordiante Z Force: ', np.round(sum(li_axi_xyz),2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04d2bd8d",
   "metadata": {},
   "source": [
    "### Static Instantenous Forces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "aafb773c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def inst_forces():\n",
    "    li_x_inst = []\n",
    "    li_y_inst =[]\n",
    "    li_z_inst = []\n",
    "    for i in range(k):\n",
    "        fx = (li_force_xyz[i] * np.sin(li_ang[i])) - (li_rad_xyz[i] * np.cos(li_ang[i]))\n",
    "        fy = (li_force_xyz[i] * np.cos(li_ang[i])) + (li_rad_xyz[i] * np.sin(li_ang[i]))\n",
    "        fz = li_axi_xyz[i]\n",
    "        li_x_inst.append(fx)\n",
    "        li_y_inst.append(fy)\n",
    "        li_z_inst.append(fz)\n",
    "    return li_x_inst, li_y_inst, li_z_inst"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "ad0597a8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Instantaneous X Force:  468.86\n",
      "Instantaneous Y Force:  251.71\n",
      "Instantaneous Z Force:  -18.09\n"
     ]
    }
   ],
   "source": [
    "li_x_inst, li_y_inst, li_z_inst = inst_forces()\n",
    "print('Instantaneous X Force: ', np.round(sum(li_x_inst),2))\n",
    "print('Instantaneous Y Force: ', np.round(sum(li_y_inst),2))\n",
    "print('Instantaneous Z Force: ', np.round(sum(li_z_inst),2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22a38142",
   "metadata": {},
   "source": [
    "### Mass, Spring Constant and Damping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "12c185ba",
   "metadata": {},
   "outputs": [],
   "source": [
    "m1 = 3 # Mass of Tool\n",
    "m2 = 2 # Mass of Workpiece\n",
    "\n",
    "k11 = 1.4 * np.power(10,7) # Spring Constant\n",
    "k12 = 1.2 * np.power(10,7) # Spring Constant\n",
    "k13 = 1.4 * np.power(10,7) # Spring Constant\n",
    "k21 = 1.8 * np.power(10,7) # Spring Constant\n",
    "k22 = 1.2 * np.power(10,7) # Spring Constant\n",
    "k23 = 1.8 * np.power(10,7) # Spring Constant\n",
    "k31 = 1.4 * np.power(10,7) # Spring Constant\n",
    "k32 = 1.2 * np.power(10,7) # Spring Constant\n",
    "k33 = 1.8 * np.power(10,7)# Spring Constant\n",
    "\n",
    "c11 = 400*0.00 # Damping Constant\n",
    "c12 = 200*0.00 # Damping Constant\n",
    "c13 = 400*0.00 # Damping Constant\n",
    "c21 = 400*0.00 # Damping Constant\n",
    "c22 = 200*0.00 # Damping Constant\n",
    "c23 = 400*0.00 # Damping Constant\n",
    "c31 = 400*0.00 # Damping Constant\n",
    "c32 = 200*0.00 # Damping Constant\n",
    "c33 = 400*0.00 # Damping Constant"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b9e3900",
   "metadata": {},
   "source": [
    "### Mass Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "b909ee4e",
   "metadata": {},
   "outputs": [],
   "source": [
    "M = [[m1,0,0,0,0,0],\n",
    "     [0,m2,0,0,0,0],\n",
    "     [0,0,m1,0,0,0],\n",
    "     [0,0,0,m2,0,0],\n",
    "     [0,0,0,0,m1,0],\n",
    "     [0,0,0,0,0,m2]]\n",
    "M = np.asarray(M)\n",
    "M_inv = np.linalg.inv(M)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2f52368",
   "metadata": {},
   "source": [
    "### Damping Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "32e89a79",
   "metadata": {},
   "outputs": [],
   "source": [
    "C = [[c11+c12, -c12, 0, 0, 0, 0],\n",
    "     [-c12,c12+c13,0,0,0,0],\n",
    "     [0,0,c21+c22,-c22,0,0],\n",
    "     [0,0,-c22,c23+c22,0,0],\n",
    "     [0,0,0,0,c31+c32,-c32],\n",
    "     [0,0,0,0,-c32,c32+c33]]\n",
    "C = np.asarray(C)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5143b5b",
   "metadata": {},
   "source": [
    "### Spring Constant Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "4ab01254",
   "metadata": {},
   "outputs": [],
   "source": [
    "K = [[k11+k12, -k12, 0, 0, 0, 0],\n",
    "     [-k12,k12+k13,0,0,0,0],\n",
    "     [0,0,k21+k22,-k22,0,0],\n",
    "     [0,0,-k22,k23+k22,0,0],\n",
    "     [0,0,0,0,k31+k32,-k32],\n",
    "     [0,0,0,0,-k32,k32+k33]]\n",
    "K = np.asarray(K)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1eaf76e9",
   "metadata": {},
   "source": [
    "### Exitation Forces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "54c6b426",
   "metadata": {},
   "outputs": [],
   "source": [
    "fx = sum(li_x_inst)\n",
    "fy = sum(li_y_inst)\n",
    "fz = sum(li_z_inst)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62da337e",
   "metadata": {},
   "source": [
    "### Constants in Newmark Method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "28b3dcac",
   "metadata": {},
   "outputs": [],
   "source": [
    "alpha1 = 1\n",
    "alpha2 = -np.tan(gamma_r)\n",
    "alpha3 = -np.tan(gamma_a)/np.cos(gamma_r)\n",
    "beta1 = (np.cos(app_ang) * np.tan(gamma_r))/np.cos(gamma_a)\n",
    "beta2 = np.cos(app_ang)/np.cos(gamma_a)\n",
    "beta3 = np.sin(app_ang)/(np.cos(gamma_a) * np.cos(gamma_r))\n",
    "gamma1 = (np.tan(gamma_a)*np.cos(app_ang))/np.cos(gamma_r)\n",
    "gamma2 = -np.sin(app_ang)/np.cos(gamma_a)\n",
    "gamma3 = np.cos(app_ang)/np.cos(gamma_r)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b75bd358",
   "metadata": {},
   "source": [
    "### Initial Conditions of Position and Velocity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "13b4120b",
   "metadata": {},
   "outputs": [],
   "source": [
    "dx1, dx2 = 0.005, 0.000\n",
    "dy1, dy2 = 0.000, 0.00\n",
    "dz1, dz2 = 0.001, 0.00\n",
    "vx1, vx2 = 0, 0\n",
    "vy1, vy2 = 0, 0\n",
    "vz1, vz2 = 0, 0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2be510cc",
   "metadata": {},
   "source": [
    "### Acceleration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "ecf17ab2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(6, 1) (6, 1) (6, 1)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[-43041.96188976],\n",
       "       [ 30000.        ],\n",
       "       [   134.22995225],\n",
       "       [     0.        ],\n",
       "       [ -8589.908832  ],\n",
       "       [  6000.        ]])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = [[dx1],[dx2],[dy1],[dy2],[dz1],[dz2]]     # Displacement\n",
    "xx = [[vx1],[vx2],[vy1],[vy2],[vz1],[vz2]]    # Velocity\n",
    "fnew = [[fx], [0], [fy], [0], [fz], [0]]      # Force vector\n",
    "x = np.asarray(x)     # To numpy array\n",
    "xx = np.asarray(xx)   # To numpy array\n",
    "fnew = np.asarray(fnew)     # To numpy array\n",
    "print(x.shape, xx.shape, fnew.shape)\n",
    "e = fnew - np.matmul(C, xx) - np.matmul(K, x)  # Expression in Eqn 11.26\n",
    "xxx = np.matmul(M_inv, e)   # Acceleration\n",
    "xxx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "a3e8a364",
   "metadata": {},
   "outputs": [],
   "source": [
    "xj = np.copy(x)\n",
    "xxj = np.copy(xx)\n",
    "xxxj = np.copy(xxx)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de35d04f",
   "metadata": {},
   "source": [
    "### Process to find the Dynamic Forces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "7257121d",
   "metadata": {},
   "outputs": [],
   "source": [
    "dt = 0.0001            # Time step\n",
    "alpha = 0.25\n",
    "beta = 0.5\n",
    "t = np.arange(0,0.01,dt) # Time Sample\n",
    "n = t.shape[0]\n",
    "\n",
    "a = 1/(alpha * dt**2)  # Coefficient 1\n",
    "b =beta/(alpha * dt)        # Coefficient 2 \n",
    "c = beta/alpha         # Coefficient 3\n",
    "d = (1/(2.0*alpha))        # Coefficient 4\n",
    "\n",
    "exp = a*M + b*C + K \n",
    "keff = np.linalg.inv(exp)\n",
    "\n",
    "speed_constant = (2*np.pi*speed)/(60*z)\n",
    "li_DFx =[]  # List to store DFx\n",
    "li_DFy =[]  # List to store DFy\n",
    "li_DFz =[]  # List to Store DFz\n",
    "\n",
    "li_x1 = []\n",
    "li_x2 = []\n",
    "li_y1 = []\n",
    "li_y2 = []\n",
    "li_z1 = []\n",
    "li_z2 = []\n",
    "\n",
    "for i in range(n):\n",
    "    \n",
    "    li_dfx = [] # List to append dfx\n",
    "    li_dfy = [] # List to append dfy\n",
    "    li_dfz = [] # List to append dfz\n",
    "    \n",
    "    for j in range(k):  # Iterate over every Teeth\n",
    "        \n",
    "        if i<1:\n",
    "            fnew = [[fx], [0], [fy], [0], [fz], [0]]\n",
    "            \n",
    "        else:\n",
    "            fnew = [[li_DFx[i-1]], [0], [li_DFy[i-1]], [0], [li_DFz[i-1]], [0]]\n",
    "        fnew = np.asarray(fnew)\n",
    "        \n",
    "        e1 = (b*x) + (c-1)*xx + (c-2)*(dt/2)*xxx\n",
    "        e2 = (a*x) + ((1/(alpha * dt))*xx) + (d-1)*xxx\n",
    "        e3 = np.matmul(C, e1)\n",
    "        e4 = np.matmul(M, e2)\n",
    "        e5 = fnew + e3 + e4\n",
    "        \n",
    "        x_i = np.matmul(keff, e5)\n",
    "        \n",
    "        xxx_i = (a*(x_i - x)) - (1/(alpha*dt))*xx - (d-1)*xxx\n",
    "        xx_i  = xx + (1-beta)*(dt*xxx) + beta*(dt*xxx_i)\n",
    "        \n",
    "        \n",
    "        xi = x_i[0][0] - x_i[1][0]\n",
    "        yi = x_i[2][0] - x_i[3][0]\n",
    "        zi = x_i[4][0] - x_i[5][0]\n",
    "        \n",
    "        xo = xi*(j+1)*(gamma - (2*np.pi*speed)/(60*z))\n",
    "        yo = yi*(j+1)*(gamma - (2*np.pi*speed)/(60*z))\n",
    "        zo = zi*(j+1)*(gamma - (2*np.pi*speed)/(60*z))\n",
    "        \n",
    "        ux = xo - xi\n",
    "        uy = yo - yi\n",
    "        uz = zo - zi\n",
    "        ui = np.sqrt(ux**2 + uy**2 + uz**2) \n",
    "        \n",
    "        rixx = (alpha1 * np.sin(li_ang[j])) - (alpha2 * np.cos(li_ang[j]))\n",
    "        rixy = (kr*( beta1*np.sin(li_ang[j]) - beta2*np.cos(li_ang[j]) ))\n",
    "        rixz = (ka*( gamma1*np.sin(li_ang[j]) - gamma2*np.cos(li_ang[j]) ))\n",
    "        \n",
    "        riyx = (alpha1 * np.cos(li_ang[j])) + (alpha2 * np.sin(li_ang[j]))\n",
    "        riyy = (kr*( beta1*np.cos(li_ang[j]) + beta2*np.sin(li_ang[j]) ))\n",
    "        riyz = (ka*( gamma1*np.cos(li_ang[j]) + gamma2*np.sin(li_ang[j]) ))\n",
    "        \n",
    "        rizx = alpha3\n",
    "        rizy = kr*beta3\n",
    "        rizz = ka*gamma3\n",
    "        \n",
    "        dfx = kc * (rixx  + rixy + rixz) * ui \n",
    "        dfy = kc * (riyx  + riyy + riyz) * ui \n",
    "        dfz = kc * (rizx  + rizy + rizz) * ui  \n",
    "        \n",
    "        # Append to list\n",
    "        li_dfx.append(dfx)\n",
    "        li_dfy.append(dfy)\n",
    "        li_dfz.append(dfz)\n",
    "    \n",
    "    x = x_i  \n",
    "    xx = xx_i \n",
    "    xxx = xxx_i \n",
    "    \n",
    "    li_x1.append(x[0][0])\n",
    "    li_x2.append(x[1][0])\n",
    "    li_y1.append(x[2][0])\n",
    "    li_y2.append(x[3][0])\n",
    "    li_z1.append(x[4][0])\n",
    "    li_z2.append(x[5][0])\n",
    "    \n",
    "    # Equation 31  \n",
    "    DFx = sum(li_x_inst) + sum(li_dfx)\n",
    "    DFy = sum(li_y_inst) + sum(li_dfy)\n",
    "    DFz = sum(li_z_inst) + sum(li_dfz)\n",
    "\n",
    "    # Append Forces to list\n",
    "    li_DFx.append(DFx)\n",
    "    li_DFy.append(DFy)\n",
    "    li_DFz.append(DFz)\n",
    "\n",
    "    # Convert to Numpy array\n",
    "DFx = np.asarray(li_DFx)\n",
    "DFy = np.asarray(li_DFy)\n",
    "DFz = np.asarray(li_DFz)\n",
    "        "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "806ed5ce",
   "metadata": {},
   "source": [
    "### Dynamic Forces in X Direction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "93c1a0d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "plt.plot(t, DFx, 'green')\n",
    "plt.xlabel('Time (sec)',  fontdict={'fontsize':14})\n",
    "plt.ylabel('Force X (N)',  fontdict={'fontsize':14})\n",
    "plt.title('Force X v/s Time', fontdict={'fontsize':18})\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b8e954d",
   "metadata": {},
   "source": [
    "### Dynamic Forces in Y-Direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "1d3076f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "plt.plot(t, DFy, 'blue')\n",
    "plt.xlabel('Time (sec)',  fontdict={'fontsize':14})\n",
    "plt.ylabel('Force Y (N)',  fontdict={'fontsize':14})\n",
    "plt.title('Force Y v/s Time', fontdict={'fontsize':18})\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b6e1b1e",
   "metadata": {},
   "source": [
    "### Dynamic Forces in Z-Direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "49aa3630",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6,4))\n",
    "plt.plot(t, DFz, 'red')\n",
    "plt.xlabel('Time (sec)',  fontdict={'fontsize':14})\n",
    "plt.ylabel('Force Z (N)',  fontdict={'fontsize':14})\n",
    "plt.title('Force Z v/s Time', fontdict={'fontsize':18})\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "e2bcbdf1",
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = np.array(li_x1)\n",
    "x2 = np.array(li_x2)\n",
    "y1 = np.array(li_y1)\n",
    "y2 = np.array(li_y2)\n",
    "z1 = np.array(li_z1)\n",
    "z2 = np.array(li_z2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37ddd677",
   "metadata": {},
   "source": [
    "### Displacement of Tool and Workpiece in X-Direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "75013d2d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kJRYiDOj27dvo3Lkz7ty5ozoKEREREZHJev78OcaOHQtXV1f8+OOP+OOPP1C+fHnMmzcPUkrV8YgoDSxEGFBiYiJWrFiB+fPnq45CRERERGRyYmNjMWnSJBQuXBjff/89ateujaNHj+LcuXOoUqUKunbtCn9/f77xR2TkWIgwIBcXF/Tt2xfh4eE4cuSI6jhERERERCYhPj4eM2fORNGiRTFw4EBUqlQJBw4cwIYNG1ChQgUULFgQ4eHhmDJlCnbs2IEyZcogJCREdWwieg8WIgxsyJAhyJw5MwYOHMhhY0REREREH/D69WvMmzcPxYsXR+/evfHZZ58hJiYGYWFhqFq16r/2tbKyQt++fXHkyBG4urqiWbNmCAwMxNOnTxWlJ6L3YSHCwLJkyYLAwEDs3LkT27ZtUx2HiIiIiMgoSSnh7++Prl27Il++fNixYweioqLg5ub2wceVLl0a+/btw/fff4/ly5ejbNmy2Llzp4FSE5E2WIhQwN/fH0WLFsWgQYOQlJSkOg4RERERkdEJCQnBtm3b8PPPP2Pfvn3w8fGBEEKrx9ra2mLMmDHYs2cPHBwc4O3tjVmzZiExMVHPqYlIGyxEKGBra4vx48fj1KlTWLx4seo4RERERERGJS4uDv3790fZsmXRv39/rQsQb6tWrRqOHj2Knj17Yu3atfj99991nJSIPgYLEYp89dVXqFq1KkaMGIHY2FjVcYiIiIiIjMakSZNw9epVTJs2DTY2Np90rIwZM2LWrFmoUKECRo4cicePH+soJRF9LBYiFBFCYNKkSbh16xamTp2qOg4RERERkVG4fv06xo8fj2bNmsHT01MnxxRCICgoCI8ePcLYsWN1ckwi+ngsRCjk5uaGxo0b4+eff8b9+/dVxyEiIiIiUm7QoEGQUmLSpEk6PW6xYsXQqVMnzJgxA3/99ZdOj01E6cNChGI///wzYmNjMWbMGNVRiIiIiIiU2rVrF1auXImBAwfC1dVV58cfO3Ys7OzsMGjQIJ0fm4i0x0KEYiVLlsTXX3+N3377jZVZIiIiIrJYSUlJ+Pbbb1GgQAEMHjxYL+fImzcvhg0bhvXr1yMyMlIv5yCitLEQYQRGjRoFe3t7DBs2THUUIiIiIiIlFixYgGPHjmHixIlwdHTU23m+++47FCxYEP369UNSUpLezkNE78dChBHIkycPBg4ciLVr12Lfvn2q4xARERERGdSTJ08wbNgwuLm5oWXLlno9l4ODAyZMmIBjx44hODhYr+ciondjIcJI9O/f/5+ChJRSdRwiIiIiIoMZPXo0Hj58iGnTpkEIoffztWzZEjVq1MDw4cPx/PlzvZ+PiP6NhQgj4eTkhNGjR2PPnj3YsGGD6jhERERERAZx9uxZzJw5E127dkXFihUNck4hBKZMmYI7d+5gwoQJBjknEf0/FiKMSOfOnVGyZEkMHjwYr1+/Vh2HiIiIiEivpJTo27cvHB0dMXbsWIOeu1q1amjTpg1+/fVXXLt2zaDnJrJ0LEQYERsbG0yYMAEXLlzAggULVMchIiIiItKrTZs2Yfv27Rg1ahScnZ0Nfv7x48cDAIYMGWLwcxNZMhYijEyjRo3wxRdfYO7cuaqjEBERERHpTXx8PPr164dSpUohKChISYaCBQtiwIABWLFiBfbv368kA5ElYiHCyAgh0L59exw5cgTnzp1THYeIiIiISC+mTJmCS5cuYerUqbC1tVWWY/DgwcibNy++++47ThpPZCBGV4gQQlgLIY4KITarzqJKq1atYGVlhWXLlqmOQkRERESkc7GxsRg3bhwaNWqEunXrKs3i5OSEn376Cfv378fKlSuVZiGyFEZXiADQB8BZ1SFUypMnD7y9vbF8+XJWZYmIiIjI7GzYsAHPnz9H//79VUcBAHTo0AEVK1bE4MGDERcXpzoOkdkzqkKEEKIAgAYA5qnOolqbNm1w+fJl9qoRERERkdlZtmwZXFxc4ObmpjoKAMDKygpTpkzB9evX8fvvv6uOQ2T2hDG94y6EWAtgPIBMAAZIKRu+Y59uALoBQO7cuSuZ4vCpFy9ewMnJ6YP7vHz5EgEBAahfvz769OljoGREn06b65vIlPEaJ3PG65sM4cmTJ2jWrBlatWqFrl27Guy82lzfvXr1QlxcHBYsWAAhhIGSEemGsT2He3p6HpZSVn7XfTaGDvM+QoiGAO5JKQ8LITzet5+Uci6AuQBQuXJl6eHx3l2NVlRUFLTJ3bhxY0RGRmL16tVKJ/AhSg9tr28iU8VrnMwZr28yhJkzZyI5ORnDhg3D559/brDzanN99+3bF927d4ejoyOqVq1qmGBEOmJKz+HG1JrxJQB/IcQVACsBeAkhlqqNpFbbtm3x4MED7NixQ3UUIiIiIiKdWLp0KcqXL2/QIoS2WrVqBQcHByxYsEB1FCKzZjSFCCnlUCllASmlK4BWAHZKKdspjqWUn58fsmXLxtUziMzI2bNnUaZMGdja2sLR0RHZsmVD7ty5UbBgQRQrVgylS5dGhQoVULVqVfTr1w+JiYmqIxMREenMX3/9hQMHDqBdO+P8Mz9z5sxo3rw5VqxYgdjYWNVxiMyW0bRm0H/Z2dmhefPmWLp0qdH1+xBR+oWGhqJ169ZwcHBA//79kZiYiISEhHduz549w5QpU3D37l0sXrwY1tbWquMTERF9smXLlkEIgdatW6uO8l5dunTB4sWL8ccff6B9+/aq4xCZJaMsREgpowBEKY5hFNq2bYu5c+di48aNaNOmjeo4RPQRpJT49ddfMWjQIFSoUAEbNmyAi4tLmo/7+eefMXToUAghEBwczGIEERGZNCklli1bBi8vL+TPn191nPdyc3NDsWLFMH/+fBYiiPTEaFoz6N1q1aoFFxcXtmcQmaj4+Hh06tQJAwcORLNmzbBr1y6tihAAMGTIEPz0009YtmwZOnXqhKSkJD2nJSIi0p+DBw/i4sWLRtuW8YYQAp07d0Z0dDQuXryoOg6RWWIhwshZWVmhTZs2CAsLw/3791XHIaJ0uHPnDjw9PREcHIxRo0Zh1apVcHR0TNcxhg0bhrFjx2LJkiXo3LkzixFERGSyli5digwZMiAgIEB1lDQFBgbCysoKCxcuVB2FyCyxEGEC2rZti6SkJKxevVp1FCLS0tGjR1G1alUcO3YMa9aswciRI2Fl9XFPucOHD8eYMWOwePFidOnShcUIIiIyOa9fv8bKlSvh7++PzJkzq46Tpvz588PPzw+LFi3i/7tEesBChAkoW7YsypYty/YMIhOxdu1a1KpVCwCwZ88efPXVV598zO+//x6jRo1CcHAwunbtiuTk5E8+JhERkaFs374dDx48MPq2jNQ6d+6MW7duISwsTHUUIrPDQoSJaNOmDfbt24fLly+rjkJE7yGlxOjRo9G8eXOUL18ehw4dQsWKFXV2/JEjR2LkyJFYuHAhixFERGRSli5dihw5csDX11d1FK01bNgQzs7OWLBggeooRGaHhQgT8WaJo+XLlytOQkTvs3jxYowaNQqBgYGIjIxE7ty5dX6OkSNH4vvvv8eCBQvQrVs3FiOIiMjoPX/+HBs2bEDLli1hZ2enOo7W7Ozs0L59e2zcuJFztRHpGAsRJqJQoUJwc3PDsmXLIKVUHYeI3nLt2jV8++23cHNzw4IFC2Bvb6+X8wghMHr0aAwfPhzz589Hz549+ZxARERGbd26dYiLi0Pbtm1VR0m3zp074/Xr11i6dKnqKERmhYUIE9K2bVucO3cOR48eVR2FiFJJTk5Gp06dkJycjEWLFsHa2lqv5xNC4Mcff8SAAQMwd+5cREVF6fV8REREn2Lp0qUoXLgwatSooTpKun3++eeoVq0a5s+fz8I/kQ6xEGFCmjdvDltbW05aSWRkZs2ahZ07d2Ly5MkoUqSIQc75phiRL18+jBo1yiDnJCIiSq9bt24hIiIC7dq1gxBCdZyP0qVLF5w+fRqHDh1SHYXIbLAQYUKyZ88OPz8/rFy5kssIERmJCxcuYPDgwfDz88PXX39t0HNnyJABgwcPRkxMDEdFEBGRUVq5ciWSk5NNsi3jjZYtWyJjxoyctJJIh1iIMDFt27bFrVu3EB0drToKkcVLTExEYGAgHBwcMH/+fCXv9HTt2hV58+bF6NGjDX5uIiKitCxduhRVqlRBiRIlVEf5aJkzZ0bz5s2xYsUKxMbGqo5DZBZYiDAxjRo1QqZMmdieQWQEJkyYgAMHDmD27NnImzevkgwODg4YPHgwoqKiWKAkIiKjcubMGRw9etSkR0O80blzZzx79gx//PGH6ihEZoGFCBPj4OCAgIAArF27Fq9evVIdh8hiHTt2DKNHj0bLli3RsmVLpVm6deuGPHnycFQEEREZlWXLlsHa2hqtWrVSHeWTubm5oVixYpg/f77qKERmgYUIE9S2bVs8e/YMW7ZsUR2FyCLFx8ejffv2yJkzJ2bNmqU6DhwcHDBo0CBERkZi165dquMQEREhOTkZy5YtQ506dZA7d27VcT6ZEAKdO3dGdHQ0Ll68qDoOkcljIcIEeXp6Infu3GzPIFJk5MiROHXqFObNm4ccOXKojgMA6N69O3Lnzs1REUREZBT27NmDq1evol27dqqj6ExgYCCsrKywcOFC1VGITB4LESbIxsYGzZo1w/bt2xEfH686DpFF2bNnD3755Rd07doV9evXVx3nHxkzZsSgQYMQERGB3bt3q45DREQWbunSpXB0dESTJk1UR9GZ/Pnzw8/PD4sWLeIKdkSfKM1ChBCilBBijBAiWghxVQhxTwhxWgixRAjRRghhb4ig9G9+fn54+fIlh2ETGdCLFy/QoUMHuLq64tdff1Ud5z969OiBXLlycVQEEREpFR8fj9WrV6Np06ZwdHRUHUenOnfujFu3biEsLEx1FCKT9t5ChBDiCyFEOICjAL4EsBfAJADDAAQDkAB+AnBLCDGYBQnD8vT0hJ2dHbZu3ao6CpHFGDRoEC5fvoxFixYhU6ZMquP8R8aMGTFw4ECEh4dj7969quMQEZGFioyMxJMnT8xiksq3NWzYEM7OzggODlYdhcikfWhExLqULa+U0ltKOVRKOUNKOU9K+YuUMlBKWRhAQwCVAPQ3RGDScHR0RO3atVmIIDKQyMhIzJkzB/369YO7u7vqOO/Vs2dPODs7c1QEEREpExYWBnt7e3h6eqqOonN2dnZo1qwZtmzZwhXsiD7BhwoRxaWUs6SUjz90ACnlPillC2hGS5AB+fn54ezZs7h69arqKERmLTk5Gf3794erqyvGjh2rOs4HOTo6YuDAgdi+fTv27dunOg4REVmgsLAwuLu7I2PGjKqj6EVAQABevnyJHTt2qI5CZLLeW4iQUiak50Dp3Z8+nZ+fHwBwVASRnq1YsQJHjx7F2LFjkSFDBtVx0tSrVy/kzJmToyKIiMjgrl+/jrNnz8LX11d1FL3x8PBA1qxZERISojoKkcmy0XZHIURFAJ4AcuGtAoaUcpCOc5EWSpQoAVdXV2zduhU9evRQHYfILL169QrDhw9HxYoV0bp1a9VxtPJmVMTgwYOxf/9+VK9eXXUkIq3FxcXh9u3buHPnDu7du4cqVaogf/78qmMRkZbeTOJYr149xUn0x9bWFv7+/tiwYQNev34NW1tb1ZGITI5WhQghxCAAPwO4CuAuNBNVviHf+SDSOyEE/Pz8sHjxYsTHx8PenvOFEuna7NmzcfXqVcybNw9WVqaz4nGvXr0wceJEjB49mqOmyOjExcVh4cKFuHTpEu7cuYPbt2//sz19+vRf+9ra2qJNmzYYMGAAypQpoygxEWkrLCwM+fPnR+nSpVVH0auAgAAsXrwY0dHR8PHxUR2HyORoOyLiOwA9pZS/6zMMpZ+fnx/mzJmD3bt3w9vbW3UcIrPy+PFjjB07FnXr1jW5PzKcnJzQv39/DB06FAcPHkTVqlVVRyICANy8eRNNmzbFoUOH4ODggLx58yJPnjz4/PPP4ePjg7x58/6zZcmSBStWrMD8+fMRHBwMPz8/DBw4EB4eHhBCqP5WiOgtiYmJCA8PR0BAgNn/G61bty4yZsyIkJAQk/sbgcgYaFuIsAIQoc8g9HG8vLz+WcaThQgi3fr555/x5MkTTJgwQXWUjxIUFPTPqIgtW7aojkOEffv2ISAgAC9evMD69evh7++f5ouVGjVqYOTIkZgzZw5mzJgBLy8vVK5cGQMHDkRAQABsbLTuMiUiPTt06BCePHli1vNDvOHg4ID69etj3bp1mDlzpkmNmiQyBtr+i5kDoJM+g9DHcXR0hLu7O4deE+nY9evXMW3aNLRr1w4VKlRQHeejZMqUCQMGDEBoaCiOHTumOg5ZuIULF8LDwwOOjo7Yv38/GjdurPU7pjly5MCIESNw5coV/P7773j69ClatmyJzz77DDNnzkRsbKye0xORNsLCwmBlZWUxIwQCAgJw584d7N+/X3UUIpOjbSFiNIAvhBDHhBBLhBALUm/6DEhp8/Pzw5kzZ7iMJ5EO/fDDD5BS4scff1Qd5ZP06NEDtra2WLp0qeooZKFev36NPn36oHPnzqhduzYOHjyIzz///KOO5eDggG7duuHs2bMICQlBnjx50Lt3b5QvXx5nzpzRcXIiSq9t27ahSpUqyJ49u+ooBtGgQQPY2dlx9Qyij6BtIeInAHUBvAaQDYDzWxspxGU8iXTr5MmTCA4ORu/evVGoUCHVcT5JtmzZUK9ePaxatQrJycmq45CFefjwIerVq4fp06fju+++Q2hoqE5eoFhbW6Np06bYu3cvwsPD8fz5c1SrVg0bNmzQQWoi+hiPHj3CoUOHLKIt443MmTPDx8cHISEhkJLz9xOlh7aFiF4A2kgpq0gpG0opG6Xe9BmQ0layZEkUKlSIhQgiHRk8eDCyZMmCYcOGqY6iE61atcKNGzewd+9e1VHIgpw8eRJVqlTBnj17sGjRIkyePFkv8zl4e3vjzz//RMmSJdGkSROMGTOGRTciBcLDw5GcnGxRhQhA057x999/4/jx46qjEJkUbQsRcQCO6jMIfbw3y3hGREQgPj5edRwikxYZGYmtW7di2LBhZjO0tFGjRsiQIQNWrVqlOgpZiJCQENSoUQOvXr1CdHQ0OnTooNfzFShQADExMWjfvj1GjhyJ5s2b48WLF3o9JxH9W1hYGLJkyWJxqzT5+/vDysqK7RlE6aRtIWIKgL7C3NfhMWF+fn54+fIldu/erToKkclKTk7GoEGD4OLigt69e6uOozOZMmVCw4YNsXr1aiQmJqqOQ2Zu2bJlaNasGcqUKYM///wT1apVM8h5HRwcEBwcjClTpmD9+vWoUaMGLl++bJBzE1k6KSXCwsLg4+NjcSvZODs7w93dnYUIonTSthDhBqAtgCtCiK1CiI2pNz3mIy2lXsaTiD7O6tWr8eeff2Ls2LHIkCGD6jg61apVK9y7dw/R0dGqo5AZu3//Pr799lvUrFkTUVFRyJcvn0HPL4RA3759ERYWhps3b6JKlSoIDw83aAYiS3TmzBncvHkT9erVUx1FiYCAAJw+fRrnz59XHYXIZGhbiHgAIATATgB3ADx8ayPFnJycuIwn0SdISEjA8OHDUa5cObRt21Z1HJ2rX78+nJyc2J5BejVo0CA8e/YMc+fOVVrM8/HxwaFDh5AvXz74+vpiypQpnEiOSI/CwsIAwOLmh3ijSZMmAIB169apDUJkQrQqREgpO31o03dI0s6bZTyvXbumOgqRyfntt99w+fJlTJgwAdbW1qrj6JyDgwMaN26MP/74AwkJCarjkBmKjo7GokWLMGDAgI9enlOXihYtin379qFJkybo168fOnXqhNevX6uORWSWwsLCUKpUKbi4uKiOooSLiwuqVq3K9gyidNB2RASZAC7jSfRxnj59ijFjxsDb29us381p1aoVHj16xKHqpHMJCQno0aMHXF1d8f3336uO8w8nJyesWbMGo0aNQnBwMJo3b85JnYl0LC4uDjExMWb9/6c2AgICcOjQIb4hSKQlrQoRQohsQohpQogTQog7Qoh7qTd9hyTtcBlPoo8zceJEPHz4EBMmTIA5z8lbt25dZM2aFStXrlQdhczMxIkTce7cOcyaNQsZM2ZUHedfrKysMHLkSMycORMbNmyAv78/YmNjVcciMhvR0dF49eoVCxEBAQCA9evXqw1CZCK0ndZ2MYDPAQQDuAuAjZZG6M0ynkuXLkVCQgLs7OxURyIyevfv38fUqVPRokULVKpUSXUcvbKzs0NAQADWrFmDV69emd2EnKTGpUuXMHbsWDRr1gz169dXHee9goKC4OjoiC5duqBevXrYvHkzMmfOrDoWkckLCwuDvb093N3dVUdRqnjx4ihbtixCQkLw7bffqo5DZPS0bc3wAPCVlHK0lPI3KeXvqTc95qN08vPzw4sXL7iMJ5GWfvnlF8TFxWHUqFGqoxhEq1at8Pz5c46cIp2QUiIoKAg2NjaYNm2a6jhp6tixI5YvX459+/bBx8cHjx49Uh2JyOSFhYXB3d3d6EZDqRAQEIBdu3bh3j0OGCdKi7aFiEvp2JcU4jKeRNq7c+cOZs2ahTZt2qBUqVKq4xiEp6cnnJ2d2Z5BOrFmzRqEhYVh7NixyJ8/v+o4WmnZsiVCQkJw/PhxeHh44O7du6ojEZms69ev4+zZsxbflvFGQEAAkpOTsWHDBtVRiIyetsWFPgDGCyHKCyHMbzp5M+Lk5AQ3NzcWIoi0MH78eCQkJGDkyJGqoxiMjY0NvvrqK2zevBkvX75UHYdM2NOnT9GnTx988cUXCAoKUh0nXRo1aoQtW7bg0qVLqF27Nm7cuKE6EpFJsvRlO99WtmxZFC1alKtnEGlB20LERQAOAI4ASBBCJKXe9BePPoafnx9Onz6N69evq45CZLRu3LiB3377DR06dECxYsVUxzGoVq1aITY2Fps2bVIdhUzYiBEjcPfuXfz222+wsdF2yinj4ePjg7CwMNy+fRtubm64fPmy6khEJicsLAz58+c3iiV7jYEQAgEBAYiIiMCTJ09UxyEyatoWIlYAyALgWwAtAbR4ayMjwmU8idL2008/QUppVEsNGkqtWrWQL18+tmfQRzt06BBmzZqFoKAgVKlSRXWcj1arVi1ERETg2bNncHd3x7lz51RHIjIZiYmJCA8PR926dc16xan0CggIwOvXr7FlyxbVUYiMmraFiMoAWkspZ0kp10op/0i96TMgpV+pUqVQsGBBFiKI3uPKlSuYP38+unTpAldXV9VxDM7KygotWrTA1q1b+Y4NpVtiYiK6d++OPHnyYOzYsarjfLLKlSsjKioKiYmJcHd3x9GjR1VHIjIJhw4dwpMnT1CvXj3VUYxK1apVkS9fPrZnEKVB20LEGQBc48pEvFnGMzw8HAkJCarjEBmdH3/8EVZWVhg+fLjqKMq0atUKCQkJnFCL0m3WrFk4evQopk6diixZsqiOoxNly5ZFTEwMHBwc4OHhgV27dqmORGT0wsLCYGVlBR8fH9VRjIqVlRWaNm2KrVu3IjY2VnUcIqOlbSFiBIDJQggfIURuIUT21Js+A9LHebOM5549e1RHITIqFy9eRHBwMLp3744CBQqojqNM1apV4erqyvYMSpebN29ixIgRqFevHpo3b646jk599tln2L17N/Lly4e6detyWDVRGsLCwlClShVkz86XAm8LCAhAXFzcP5N5EtF/aVuICAVQFcB2ALcA3E/ZHqR8JCPj5eUFW1tbtmcQvWX06NGws7PD0KFDVUdRSgiBli1bYseOHXjw4IHqOGQihg0bhsTERMyaNcsse8JdXFywa9culClTBo0bN8ayZctURyIySo8ePcLBgwe5WsZ7uLu7I3v27GzPIPoAbQsRnqk2r1Tbm6/JyGTKlInLeBK95ezZs1i2bBmCgoKQJ08e1XGUa9WqFZKSkviHEmnl3r17WLlyJbp27YoiRYqojqM3OXPmxM6dO+Hu7o527dphxowZqiMRGZ3w8HAkJyezEPEeNjY28Pf3x6ZNm/D69WvVcYiMklaFCCll9Ic2XQQRQrgIISKFEGeFEKeFEH10cVxL5ufnh1OnTuHWrVuqoxAZhVGjRiFjxowYNGiQ6ihGoXz58ihRogTbM0gr8+bNQ0JCAnr16qU6it5lypQJoaGhaNKkCb799luMHj0aUkrVsYiMRlhYGLJkyYKqVauqjmK0GjdujKdPn2L37t2qoxAZpfcWIoQQhbU9iNBw+cQsiQD6SylLAagOIEgIUfoTj2nRvL29AQA7d+5UnIRIvRMnTmD16tXo06cPnJ2dVccxCkIItGrVClFRUbh9+7bqOGTEkpKS8Ntvv8HLywslS5ZUHccgMmTIgDVr1qBjx44YNWoU+vTpg+TkZNWxiJSTUiIsLAw+Pj6wsbFRHcdo1alTB/b29ti4caPqKERG6UMjIvYJIeYLIWq8bwchRDYhRE9oVtVo/ClBpJS3pZRHUj5/DuAsgPyfckxLV758eeTIkQMRERGqoxApN3LkSGTOnBn9+/dXHcWotGzZElJKrF27VnUUMmKbN2/G9evXERQUpDqKQdnY2GD+/Pno168fZsyYgcDAQA6zJot35swZ3Lx5k20ZaXB0dIS3tzc2btzIEVVE7/ChMmZJAMMBbBFCJAE4DOA2gFcAsgEoDaAUgIMA+kopdTYtrBDCFUBFAAfecV83AN0AIHfu3IiKitLVaQ3mxYsXBstdpkwZhIaGIjIy0iwnFiPjY8jrW1vnz5/H+vXr0bFjR5w4cUJ1HKNTpEgR/P777yhbtqzqKCbBGK9xfRs7dixy5syJLFmyWNz3DgANGzbE06dPMX/+fFy6dAkjR45EhgwZVMfSC0u8vil93hSuM2XKZHLXiqGv7xIlSiA0NBTBwcFwdXU12HnJcpnSc7hIq0InhHAA0ABALQCFADhAs1rGUQBhUspTOg0khBOAaAA/SSk/OINa5cqV5Z9//qnL0xtEVFQUPDw8DHKuOXPmoFevXrhw4QKKFy9ukHOSZTPk9a2tBg0aYN++ffj777+RJUsW1XGMzvjx4zFs2DBcuXIFhQoVUh3H6BnjNa5PFy5cQIkSJTBmzBh8//33quMo9dtvv6FXr14oX748QkJCULiw1l2sJsPSrm9KvyZNmuDkyZO4dOmS6ijpZujr++bNmyhQoADGjx+PIUOGGOy8ZLmM7TlcCHFYSln5XfelOVmllDJOSrlWStlXStlUSllPStlOSvmrHooQtgD+ALAsrSIEaefNPBFszyBLtW/fPoSGhmLgwIEsQrxHy5YtAYDtGfROc+bMga2tLbp27ao6inI9evTA5s2bceXKFVSqVAnbtm1THYnIoJKTk7Fr1y7Url1bdRSTkD9/flSqVInzRBC9g7bLd+qd0PQNzAdwVko5WXUec1G8eHEUKFCAE1aSxfr+++/h7OyM3r17q45itIoUKYIyZcpwuV/6j5cvX2LhwoVo1qwZl7xNUb9+ffz5559wcXFB/fr18eOPP3ISS7IYp06dwqNHj1iISAd/f3/s378f9+7dUx2FyKgYTSECwJcA2gPwEkIcS9nqqw5l6oQQ8Pb2xs6dO/mHElmcHTt2ICIiAkOHDoWTk5PqOEatbt262LVrF16+fKk6ChmRFStW4OnTpxaxZGd6FC1aFPv27UPbtm3xww8/oEmTJnjy5InqWER6Fx0dDQAsRKSDv78/pJTYsmWL6ihERsVoChFSyt1SSiGlLCelrJCyharOZQ68vb3x8OFDTtJHFiU5ORmDBw+Gq6srX0RpwdfXFwkJCf/8kUkkpcSsWbNQtmxZ1KpVS3Uco5MxY0YsXrwYM2bMwNatW1GlShWcPHlSdSwivYqOjkbBggU58WI6lC9fHi4uLmzPIHqL0RQiSH+8vLwAcJ4IsiwrV67E0aNHMXbsWNjb26uOY/Tc3NyQIUMGhIXpbAEkMnH79u3DsWPHEBQUxFWX3kMIgW+++QZRUVF4+fIlqlevjhUrVqiORaQXUkrExMRwNEQ6CSHQqFEjbN++Ha9evVIdh8hosBBhAfLnz48SJUqwEEEWIz4+HsOHD0f58uXRunVr1XFMgoODA2rXrs1CBP1j9uzZyJw5M9q2bas6itH78ssvceTIEVSqVAlt2rRBnz598Pr1a9WxiHTq7NmzuH//PgsRH8Hf3x+xsbGcs40olQ8WIoQQA8UH3gYRQuQSQqzTfSzSNW9vb8TExCAhIUF1FCK9++2333DlyhVMmDABVlast2rL19cX58+fx9WrV1VHIcXu3buHNWvWoEOHDpxfRUt58uRBREQE+vTpg+nTp6NatWo4ePCg6lhEOsP5IT6eh4cHnJyc2J5BlEpaf6EPAhAjhPjPQtlCiJYAzgDIpY9gpFve3t54+fIlDh06pDoKkV49ffoUP/74I7y9vVG3bl3VcUyKr68vAHBUBGHevHlISEjg/CrpZGtri6lTp+KPP/7A3bt3Ub16dfTo0QOPHj1SHY3ok0VHRyNfvnwoWrSo6igmx97eHr6+vti0aROklKrjEBmFtAoRZQA8BnBCCNEdAIQQOYQQawEsAjARgJteE5JOeHh4QAjB9gwye5MmTcLDhw8xYcIE9rWnU6lSpVCgQAEWIixcUlISfvvtN3h5eaFkyZKq45ikgIAAnD17Fn379sW8efNQokQJLFq0iKtXkcmSUiI6Ohq1a9fm/60fyd/fH7du3cKRI0dURyEyCh8sREgp70op/QH0ATBBCBEF4DQAVwCVpZQTpJT8X9UEZM+eHV988QULEWTWbt++jcmTJ6NVq1aoVKmS6jgmRwgBX19fREREIDExUXUcUmTz5s24fv06goKCVEcxaZkzZ8bkyZNx5MgRfPbZZ+jUqRNq167NlTXIJP3111+4c+cO2zI+Qf369WFlZcX2DKIU2jZPrwEQDcAdgCOAblLK03pLRXrh7e2Nffv24eXLl6qjEOnF6NGjkZCQgLFjx6qOYrJ8fX3x9OlTHDhwQHUUUmTWrFnInz8//P39VUcxC+XKlcOuXbuwYMECnD17FhUrVkT//v3x/Plz1dGItMb5IT5dzpw5UbNmTRYiiFKkWYgQQngCOAXNKAhPAOsB7BFCDPnQRJZkfLy8vPD69Wvs3r1bdRQinTt//jzmzZuHHj16sH/1E/j4+MDKyortGRbqwoUL2LFjB7p37w4bGxvVccyGlZUVOnXqhPPnz6NLly6YPHkySpYsieXLlyMpKUl1PKI0RUdHI3fu3ChRooTqKCbN398fx44dw/Xr11VHIVIurVUzpgPYBmA5NK0Y0VLK9gDaAPgOmoJEcf3HJF2oVasWbG1t2Z5BZmnYsGFwcHDA999/rzqKScuWLRuqVq3KQoSFmjNnDmxtbdG1a1fVUcxSjhw58Pvvv2Pfvn3InTs32rZti1KlSmHBggVc1YqM1pv5Idzd3Tk/xCdq1KgRAGDTpk2KkxCpl9aICF8AtaWUQ6WU/yyILaVcB+BzAHcAHNNfPNIlR0dH1KhRg2sYk9nZv38/QkJCMHDgQOTKxYV8PpWvry8OHTqEhw8fqo5CBvTy5UssXLgQzZo1Q548eVTHMWvVq1fHoUOHsGbNGjg5OaFLly4oVqwYZsyYgdjYWNXxiP7l77//xo0bN9iWoQMlSpRA8eLF2Z5BhLQLERWklPvfdYeU8oGUMgBAd93HIn3x9vbGkSNHuJQYmQ0pJQYNGoTcuXOjX79+quOYBV9fX0gpER4erjoKGdCKFSvw9OlTLtlpINbW1vjqq69w+PBhhIaGomDBgvj222/h6uqK8ePH4+nTp6ojEgHg/BC6JISAv78/IiMjOU8MWby0Vs2IS+sAUsqluotD+ubt7Q0pJaKiolRHIdKJLVu2YNeuXRg5ciScnJxUxzELVapUQdasWbF9+3bVUciA5syZg7Jly6JWrVqqo1gUIQT8/Pywe/duxMTEoFKlShg2bBgKFSqEESNG4P79+6ojkoWLjo5Gjhw5ULp0adVRzIK/vz8SEhL4fyxZPG1XzSAzUbVqVTg5OXGeCDILSUlJGDJkCIoXL46vv/5adRyzYWNjAx8fH4SFhUFKqToOGcBff/2FI0eOoFOnTuwBV8jNzQ1bt27F4cOH4ePjg3HjxqFQoUIICgrCpUuXVMcjC/VmfggrK75s0IWaNWsiW7ZsbM8gi8dnFAtja2sLd3d3FiLILCxevBinT5/GuHHjYGtrqzqOWfH19cXNmzdx5swZ1VHIAP744w8AQLNmzRQnIQD44osvsHbtWpw+fRqtWrXCvHnzULx4cXz11VfYv/+dHbNEenHt2jVcuXKFbRk6ZGNjgwYNGmDLli1cNYcsGgsRFsjLywvnz5/HzZs3VUch+mgvXrzADz/8gKpVq/LFkx7UrVsXALh6hoX4448/ULVqVRQsWFB1FErlzYoaV65cwZAhQxAREYEaNWrAzc0NGzZsQHJysuqIZOY4P4R++Pv74+HDh9i3b5/qKETKsBBhgby9vQGAoyLIpI0cORI3btzA5MmTOZRcDwoWLIiSJUuyEGEBrly5gj///BNfffWV6ij0Hnnz5sW4ceNw/fp1TJ06FdevX0eTJk1QqlQpzJ07F3FxaU7pRfRRoqOjkTVrVpQtW1Z1FLPi6+sLW1tbtmeQRdOqECGESBJC/GdNPCFEDiEExxSZmHLlyiFnzpxcxpNM1pEjRzB16lR069YNX375peo4ZsvX1xcxMTF8kWPm2JZhOpycnNCnTx9cvHgRK1euRKZMmdC9e3e4urpi9uzZSExMVB2RzEx0dDTc3NxgbW2tOopZyZw5Mzw8PFiIIIum7YiI973daA8gQUdZyECsrKzg6emJiIgITkRHJicxMRHdunWDs7Mzfv75Z9VxzJqvry9evXqFmJgY1VFIj9auXYuKFSuiSJEiqqOQlmxsbNCyZUscOnQIkZGRKF26NIKCglCxYkWOdiSduXXrFi5evMi2DD3x9/fH+fPnceHCBdVRiJT4YCFCCNFPCNEPgATQ483XKdtAAL8BOGeIoKRb3t7euHHjBv766y/VUYjSZebMmTh8+DCmTZuGbNmyqY5j1mrXrg17e3u2Z5ixGzduYP/+/WzLMFFCCHh4eGDnzp34448/8PLlS/j4+KBp06ZcZYM+GeeH0K9GjRoBADZt2qQ4CZEaaY2I6J2yCQBfp/q6d8rX9gB66DMg6QfniSBTdO3aNYwYMQJ+fn5o0aKF6jhmL2PGjHBzc2MhwoyFhIQAYFuGqRNCICAgAGfOnMG4ceOwY8cOlC5dGkOGDMHz589VxyMTFR0djUyZMqFChQqqo5ilQoUKoVy5cmzPIIv1wUKElLKwlLIwgGgA5d98nbKVkFL6SikPGCYq6VLRokXh4uLCQgSZDCklvvnmG0gpMXv2bE5QaSC+vr44c+YMrl+/rjoK6cHatWtRpkwZlChRQnUU0oEMGTJg6NChuHDhAlq3bo0JEyagePHiWLhwIVfYoHSLjo5GrVq1YGNjozqK2fL398fu3bvx8OFD1VGIDE6rOSKklJ5Sysf6DkOGI4SAt7c3IiMj+ccJmYR169Zh06ZNGD16NFxdXVXHsRi+vr4AgO3btytOQrp2584d7N69m20ZZihfvnxYtGgRDhw4gMKFC6Nz586oWrUqjh07pjoamYi7d+/i3LlzbMvQs8aNGyM5OZntGWSRtF6+UwjRUggxVwixXgixMfWmz4CkP97e3nj06BGOHz+uOgrRBz19+hS9e/dG+fLl0adPH9VxLEqZMmWQL18+tmeYoXXr1kFKybYMM1a1alXs3bsXS5cuxa1bt/Dll19iw4YNqmORCXgzSTELEfpVqVIluLi4YN26daqjEBmctst3TgSwFIArgCcAHr61kQny8vICwHkiyPgNHz4ct2/fxty5c2Fra6s6jkURQqBu3boIDw9HUhJXazYna9euRYkSJfD555+rjkJ6JIRA27ZtcfjwYXz++edo2rQpJk2axFWz6IOio6Ph6OiISpUqqY5i1oQQaNq0KcLCwvDixQvVcYgMStsREYEAWksp60opO0opO6Xe9BmQ9CdfvnwoVaoUCxFk1Pbv34/Zs2fjm2++QdWqVVXHsUi+vr54/PgxDh06pDoK6cj9+/cRHR2Nr776ivOtWIi8efMiKioKzZo1w8CBA9GtWzckJHAFdnq36Oho1KxZk8V/AwgICEB8fDy2bdumOgqRQWlbiLACcEyPOUgRb29vxMTE8I8RMkqvX79Gt27dkC9fPowdO1Z1HItVp04dCCHYnmFGNmzYgKSkJM4PYWEyZsyIVatWYfjw4Zg3bx7q1auHx485BRj924MHD3Dq1Cm2ZRhIrVq1kDNnzn9WMSKyFNoWIuYCaKfPIKSGl5cXYmNjceAAFz8h4zN58mScPHkSM2fORObMmVXHsVg5cuRA5cqVWYgwI2vXrkWRIkVQvnx51VHIwKysrDB27FgEBwdj9+7dqF69Oi5evKg6FhmRXbt2AeD8EIZibW2Nxo0bY8uWLYiPj1cdh8hgtC1EZAXQRwixRwgxRwgxPfWmx3ykZx4eHrCysmJ7Bhmdy5cvY/To0WjSpAmaNGmiOo7F8/X1xYEDB/juqRl4/PgxIiIi2JZh4QIDAxEREYGHDx+iWrVq/0xOSBQdHY0MGTKgSpUqqqNYjKZNm+LZs2fYuXOn6ihEBqNtIaI0NK0ZCQBKAiibaiujl2RkENmyZUPlypURHh6uOgrRP6SU6NmzJ2xsbDBjxgzVcQiaQkRycjKLlmZg48aNSExMZFsGwc3NDfv374ezszN8fHwQHBysOhIZgejoaNSoUQP29vaqo1gMb29vZMqUiatnkEXRqhAhpfT8wOal75CkXz4+Pti/fz+ePXumOgoRAGDOnDnYvn07fvrpJxQoUEB1HAJQrVo1ZM6cme0ZZmDt2rUoWLAgKleurDoKGYFixYph3759cHd3R8eOHbFkyRLVkUihx48f4/jx42zLMLAMGTKgfv36WL9+PVeoIouh7YgIAIAQIqcQopoQgiVSM+Lj44OkpCQOyySjsHfvXvTp0wf169dHUFCQ6jiUwtbWFp6enhw2auKePXuG7du3o1mzZmzLoH9ky5YNW7duRbt27bBgwQKsWrVKdSRSZPfu3ZBSshChQEBAAO7fv4+9e/eqjkJkEFoVIoQQmYQQawDcA7AXQP6U238TQozSXzwyhBo1asDBwYHtGaTc7du30axZMxQqVAhLly6FlVW6aqWkZx4eHrh8+TKuXbumOgp9pM2bNyMhIYFtGfQftra2mD9/PsqUKYNOnTrh6NGjqiORAtHR0bCzs0O1atVUR7E4fn5+sLe35+oZZDG0/St/AoB8AL4AEJfq9s0Amuo6FBlWhgwZUKtWLfZ+k1IJCQlo3rw5nj17hnXr1iFbtmyqI9FbPDw8AGj+UCXTtHbtWuTLlw/Vq1dXHYWMkJ2dHUaPHo0cOXKgSZMmuHfvnupIZGAxMTGoVq0aHBwcVEexOJkyZUKdOnWwbt06SClVxyHSO20LEf4A+kopjwFI/S/jLIAiug5Fhufj44NTp07hzp07qqOQherfvz/27NmD+fPno2zZsqrj0DuUK1cO2bJlQ1RUlOoo9BFevHiBrVu3IiAggKON6L2yZ8+O9evX4969e2jevDlev36tOhIZyPPnz3HkyBG2ZSjUtGlTXL16FceOHVMdhUjvtP1LJBuAh++4PRMAzqhiBnx8fACAoyJIicWLF2PmzJno378/WrVqpToOvYeVlRVq166NyMhI1VHoI2zduhWvXr1iWwalqVKlSpg/fz5iYmLQt29f1XHIQPbt24ekpCS4ubmpjmKxGjVqBCsrK7ZnkEXQthBxCJpREW+8GRXRHZo5I8jEVahQAdmzZ+c8EWRwR44cQffu3eHh4YGff/5ZdRxKg4eHB/7++29cvXpVdRRKp7Vr1yJXrlyoVauW6ihkAtq0aYNBgwZh9uzZmDt3ruo4ZAAxMTGwtrZGjRo1VEexWM7OznB3d+cynmQRtC1EDAPwoxDifwBsAPQTQuwE0B7ACH2FI8OxsrKCt7c3wsPD2ZdGBvPgwQMEBAQgZ86cWLVqFWxsbFRHojR4enoC4DwRpiYuLg5btmxB06ZNYW1trToOmYhx48ahXr16+Oabb7B7927VcUjPdu3ahS+++AKZMmVSHcWiNW3aFKdPn8aFCxdURyHSK60KEVLKvQBqArADcAmAN4BbAGpIKY/oLx4Zko+PD27cuMEnPjKIpKQktG7dGrdv30ZISAhy5cqlOhJpoUyZMsiePTvniTAxYWFhePnyJdsyKF2sra2xYsUKuLq6olmzZrh+/brqSKQnr169woEDB+Du7q46isVr2lSzDgBHRZC503q2KinlSSllByllGSllaSllOynlSX2GI8Py9vYGwHkiyDCGDx+O8PBwzJ49G1WqVFEdh7TEeSJM09q1a5EjRw5OQkfpljVrVmzYsAFxcXFo2rQp4uLi0n4QmZxDhw4hPj6ehQgj4OLigsqVK3OeCDJ76Zo2WwiRXQhRUghROvWmr3BkWEWKFIGrqyvniSC9++OPPzBhwgR0794dXbp0UR2H0snDwwNXrlzBlStXVEchLcTHx2PTpk1o0qQJbG1tVcchE1SqVCksW7YMR44cQdeuXdnCaYZiYmIAgHPIGImAgAAcPHgQN27cUB2FSG+0KkQIISoKIY4BuA/gNIBTAE6m+khmQAgBHx8f7Ny5E0lJXAyF9OPkyZPo2LEjqlevjmnTpqmOQx+B80SYll27duHZs2do0qSJ6ihkwho1aoSxY8di2bJlmDRpkuo4pGMxMTEoW7YssmfPrjoK4f/bM9avX682CJEeaTsiYgGAmwC8AHwOoBSA0qk+kpnw8fHB06dPcfjwYdVRyAwdPXoUXl5eyJQpE9auXQt7e3vVkegjfP7558iRIwfniTARoaGhsLe3h5eXl+ooZOKGDh2K5s2bY+jQoTh16pTqOKQjiYmJ2LNnD9syjEjJkiVRqlQpzhNBZk3bQkRxAH2klNFSynNSyvOpN30GJMN684cq2zNI1/bt2wdPT09kzJgRMTExyJ8/v+pI9JE4T4Rp2bp1Kzw8PJAxY0bVUcjECSEwZ84cZMmSBUFBQWzRMBNHjx7Fy5cvWYgwMk2bNkV0dDQePnyoOgqRXmhbiNgNzegHMnPOzs6oUKECCxGkU5GRkahTpw6cnZ2xa9cuFCtWTHUk+kQeHh64evUq54kwcn///TfOnTsHPz8/1VHITOTIkQM///wzYmJisHz5ctVxSAfezA/h5uamOAmlFhAQgKSkJGzatEl1FCK90LYQ0QVALyFEHyGEtxDCPfWmz4BkeN7e3tizZw9iY2NVRyEzEBoaivr168PV1RUxMTEoWLCg6kikA2/miWB7hnHbunUrAKB+/fqKk5A56dKlC6pUqYIBAwbg2bNnquPQJ4qJiUHx4sWRN29e1VEolS+++AIFCxZkewaZrfS0ZlQAMAXADgBRqTaOzTUzPj4+SEhIwJ49e1RHIRP3xx9/oEmTJihdujSioqL4R44ZKV26NHLmzMlChJELDQ1F0aJFUbx4cdVRyIxYWVlh1qxZuHv3LkaNGqU6Dn2C5ORk7Nq1i20ZRkgIgaZNmyIsLAwvXrxQHYdI57QtRPwOIAJAWQC5ADin2nLpKowQop4Q4rwQ4qIQYoiujkvp4+bmBltbW7Zn0CdZsmQJWrRogSpVqmDnzp3ImTOn6kikQ6nniWCfuHF69eoVdu7cybYM0osqVaqga9eumD59OieuNGGnT5/G48ePWYgwUk2bNkV8fDy2bdumOgqRzmlbiCgAYKSU8rSU8oGU8mHqTRdBhBDWAGYB8INmJY7WQgiuyKGAo6MjatasyUIEfbTffvsNgYGB8PT0xPbt25ElSxbVkUgPPDw8cO3aNc4TYaSio6MRFxfHtgzSm3HjxnHiShP3Zn4IFiKMU61ateDs7IyQkBDVUYh0TttCxA4AlfQZBEBVABellJellAkAVgJorOdz0nv4+Pjg6NGjnKmX0m316tXo2bMnGjZsiM2bN8PR0VF1JNITzhNh3LZu3YoMGTLAw8NDdRQyUzly5MD48eM5caUJi4mJgYuLCwoVKqQ6Cr2DtbU1/P39sWXLFsTHx6uOQ6RT2hYitgH4VQgxVgjRUggRkHrTUZb8AK6n+vpGym2kgI+PD6SUXJ6PtJaYmIghQ4Zgzpw5aNGiBUJCQpAhQwbVsUiPOE+EcQsNDYWnpyccHBxURyEzxokrTZeUEjExMXB3d4cQQnUceo+AgAA8e/aMI5XJ7Nhoud/slI/D3nGfBGCtgyzvegb8zzg/IUQ3AN0AIHfu3Cb5B/CLFy+MPndSUhIcHR2xePFi9vZTmu7evYuxY8fi1KlTqFevHrp168bJTi3E559/jm3btiEyMtJi/pA1hefwmzdv4q+//kK9evWMPisZl4+5vjt37oxevXqhS5cuCAoK0k8w0rkbN27gzp07Jvv39Mcwhefvt9na2iJz5syYPHkyR5lSmkzpGteqECGl1HbkxKe4AcAl1dcFANx6R5a5AOYCQOXKlaUpDjmNiooyiaGy3t7eOH36tElkJXXWrVuHHj16ICkpCcuXL0fevHl5zViQFi1aICgoCIUKFUKRIkVUxzEIU3gOnzFjBgDg22+/RbFixRSnIVPyMde3h4cHjh49ivnz52PkyJEoU6aMfsKRTs2fPx8A0LVrV5QsWVJxGsMwhefvd2nfvj3mz5+PihUrct4t+iBTusYNUWDQ1iEAxYUQhYUQdgBaAdioOJNF8/HxwaVLl/D333+rjkJGKC4uDkFBQQgICECxYsVw9OhRtG7dWnUsMrA3/9mZSvXdUmzduhXFixdnEYIMhhNXmp6YmBg4OzujRIkSqqNQGjp06IBXr15hzZo1qqMQ6YxWhQih0UsIcVoIESuEKJJy+xAhRAtdBJFSJgL4BkAYgLMAVkspT+vi2PRxfHx8AAARERGKk5CxOXv2LKpVq4bZs2djwIAB2LNnD4oWLao6FilQqlQpODs7sxBhROLi4hAZGcnVMsigOHGl6eH8EKajcuXKKFmyJBYvXqw6CpHOaDsiog+AEdC0RKR+troJTfFAJ6SUoVLKz6SURaWUP+nquPRxSpYsiXz58nFyHPqHlBLz5s1DpUqVcOfOHYSGhmLixImws7NTHY0UEULAw8MDUVFRfBfUSERFReHVq1fw8/NTHYUsDCeuNB1vll7msp2mQQiBwMBA7Nq1C5cvX1Ydh0gntC1E9ADQVUo5DUBiqtuPAPhc56nIKAgh4OPjg507dyI5OVl1HFLs6dOnaN26Nbp27YqaNWvi+PHjfKFDADTLeF6/fp1/HBmJ0NBQODg4oHbt2qqjkIWxtrbGrFmzcPfuXYwaNUp1HPqAXbt2AQALESakXbt2EEJgyZIlqqMQ6YS2hYhCAE694/bXALgumBnz9vbG/fv3cfLkSdVRSKGwsDCUL18ea9euxbhx47B9+3bkzZtXdSwyEpwnwnhIKREaGgovLy8un0tKVKlSBV27dsX06dNx/vx51XHoPWJiYpAlSxaULVtWdRTSkouLC7y8vLB48WKOQCSzoG0h4jKAL95xe30AZ3QXh4yNt7c3ALA9w0I9fPgQgYGBqFevHhwcHLBr1y4MHToUVlbGNM8tqVayZEnkypWLhQgj8Ndff+Hy5cscrURK/fjjj7Czs8P48eNVR6H3iImJQa1atWBtba06CqVDYGAgLl++jL1796qOQvTJtH01MQnATCFEW2jmiKghhBgJ4CcAE/UVjtTLnz8/SpUqxUKEhZFSYsWKFShVqhRWrFiB77//HkePHkWNGjVURyMjxHkijMfWrVsBgIUIUipXrlzo3r07li5dypW3jNC9e/dw7tw5tmWYoICAAGTMmJGTVpJZ0KoQIaVcCGAUgHEAMgJYAuBrAN9KKVfpLR0ZBR8fH8TExCA+Pl51FDKAa9euoVGjRmjTpg0KFy6MI0eOYMyYMRzmTR/k6emJGzdu4NKlS6qjWLStW7eiRIkSKFKkiOooZOEGDBgAa2trTJgwQXUUegvnhzBdTk5OaNasGVatWoW4uDjVcYg+idbjq6WU/5NSFgKQC0AeKaWLlHK+/qKRsfDx8UFsbCz279+vOgrpUXJyMmbOnInPP/8ckZGRmDJlCvbu3cv+UdIK54lQLzY2FlFRUVy2k4xC/vz50blzZyxcuBA3btxQHYdSiYmJQcaMGfHFF+/quiZj16FDBzx9+hSbNm1SHYXok2hViBBCfC6EKAcAUsoHUsp7KbeXE0KU1mdAUq927dqwtrbG9u3bVUchPTlz5gxq1aqF3r17o2bNmjh9+jT69u3L3lHSWokSJZA7d24WIhSKjIxEfHw82zLIaAwePBhJSUmYNGmS6iiUSkxMDGrUqMGlt02Uh4cHChQowPYMMnnajoiYC6DMO24vnXIfmbEsWbLAzc0NW7ZsUR2FdCwpKQkTJ05ExYoVcf78eSxevBjbtm2Dq6ur6mhkYjhPhHqhoaHImDEjh1uT0XB1dUX79u0xd+5c3Lt3T3UcAvDkyRMcP36czxMmzNraGu3atcO2bdtw9+5d1XGIPpq2hYhyAA6+4/ZDADhu2wI0bNgQx48fx7Vr11RHIR25cuUKvLy8MGjQIDRo0ABnz55F+/btIYRQHY1MlKenJ27evImLFy+qjmJx3izb6e3tDXt7e9VxiP4xdOhQvHr1ClOmTFEdhQDs2bMHUkoWIkxc+/btkZSUhOXLl6uOQvTRtC1EJAHI8o7bs0GzigaZuYYNGwIAR0WYASklgoODUa5cORw9ehSLFi3CH3/8gVy5cqmORiaO80Soc/78eVy5coXzQ5DR+eyzz9CyZUvMnDkTjx49Uh3H4sXExMDW1hbVqlVTHYU+QenSpVG5cmW2Z5BJ07YQEQ1guBDin4ZxIYQNgOEAYvQRjIzLZ599hmLFimHz5s2qo9AnePDgAb766it07NgRFSpUwIkTJ9ChQweOgiCd+Oyzz5AnTx4WIhTgsp1kzIYNG4YXL15gxowZqqNYvJiYGFStWhUODg6qo9An6tChA44dO4YTJ06ojkL0UbQtRAwC4AbgohBiiRBiCYC/ANQCMFBf4ch4CCHQsGFDRERE4OXLl6rj0EcIDQ1FmTJlsGnTJvzyyy+IjIzkXBCkU2/miYiMjOQ8EQYWGhqK0qVLo1ChQqqjEP1H2bJl0bhxY0ybNg3Pnj1THcdivXz5En/++SfbMsxEq1atYGNjw1ERZLK0KkRIKc9DM0/EcgDZAeQAsAxAeSnlWf3FI2PSsGFDxMfHY+fOnaqjUDq8fPkSPXv2RIMGDeDs7IxDhw5h4MCBXBGD9MLT0xO3b9/GX3/9pTqKxXjx4gViYmI4GoKM2vDhw/H48WPMmTNHdRSLtX//fiQmJrIQYSZy5syJBg0aYNmyZUhMTFQdhyjdtB0RASnlbSnlcCllAyllfSnlCCnlLX2GI+Pi5uaGTJkysT3DhJw4cQIVKlTA77//jgEDBuDQoUMoX7686lhkxjhPhOHt3LkTCQkJLESQUatSpQp8fX3x66+/IjY2VnUcixQTEwMrKyvUrFlTdRTSkcDAQNy5cwfh4eGqoxClm9aFCAAQQuQTQlQXQrin3vQVjoyLnZ0dfH19sXnzZg67NgFhYWGoVasWYmNjsXPnTkycOBEZMmRQHYvMXPHixZE3b14WIgxo69atcHJyQq1atVRHIfqgESNG4P79+5g3b57qKBYpJiYGFStWRObMmVVHIR1p0KABsmfPjuDgYNVRiNJNq0JESgEiCsANAHsARAGITLWRhWjYsCFu3bqFY8eOqY5CH/C///0PDRo0QOHChXHgwIF/3qUm0jchBDw9PTlPhIFw2U4yJbVq1ULt2rXxyy+/ID4+XnUcixIXF4d9+/ahdu3aqqOQDtnb26NVq1ZYv349nj59qjoOUbpoOyJiKjRLeJYGEAvNxJXNAZwFUE8vycgo+fn5QQjB9gwjlZycjGHDhqFbt26oU6cOdu3ahQIFCqiORRbGw8MDd+7cwYULF1RHMXtnz57FtWvXuGwnmYwRI0bg5s2bfAfXwPbs2YP4+Hj4+PiojkI6FhgYiFevXmHt2rWqoxCli7aFiNoABkspzwGQAO5LKUMADAbwo77CkfHJlSsXqlWrxkKEEXr16hXatGmD8ePHo3v37ti0aROHX5ISnCfCcN4s21mvHt8TINPg7e2NatWqYfz48Xj9+rXqOBYjIiICNjY2cHNzUx2FdKxq1ar47LPPWNwjk6NtIcIBwIOUzx8ByJXy+RloVtMgC9KwYUMcPHgQd+/eVR2FUjx8+BA+Pj5YtWoVJkyYgDlz5sDGxkZ1LLJQxYoVQ758+ViIMICwsDCUKlUKBQsWVB2FSCtCCIwYMQJXrlzBihUrVMexGOHh4ahevTqcnJxURyEdE0KgQ4cO2LVrFy5fvqw6DpHWtC1EnANQMuXzYwB6CCEKAQgCcFMPuciINWzYEIBm3XpS7+LFi6hRowb+/PNPrFq1CoMGDYIQQnUssmCcJ8IwYmNjERMTA19fX9VRiNKlQYMGKF++PMaNG4ekpCTVccze48ePcfjwYbZlmLF27doBABYtWqQ2CFE6aFuImAYgT8rnYwDUBXAZQC8Aw/SQi4xYuXLlUKBAAbZnGIG9e/eievXqePToEXbu3IkWLVqojkQEQNOecffuXZw/f151FLMVExOD+Ph4FiLI5LwZFXH+/HmEhISojmP23hSFvb29VUchPSlYsCAaNWqEWbNm4cWLF6rjEGlFq0KElHKZlHJRyudHALgCqAKgoJRyjd7SkVESQqBhw4bYvn07Z71WaOPGjfDy8kL27Nmxf/9+rgtORoXzROhfWFgY7O3t4e7OVbTJ9AQEBKBo0aKYNm2a6ihmLyIiAk5OTqhWrZrqKKRHw4YNw6NHjzB37lzVUYi0ou2IiH+RUsZKKY9IKR+kvTeZo4YNG+LFixeIiYlRHcUiRUVFoXnz5qhQoQL27t2LYsWKqY5E9C9FixZF/vz5ERnJFZ71JSwsDLVr10bGjBlVRyFKNysrKwQFBWHPnj04evSo6jhmLTw8HO7u7rC1tVUdhfSoevXq8PT0xK+//so3CskkvLcQIYSYru1myMBkHLy8vODg4MD2DAWOHTuGxo0bo1ixYggNDUXOnDlVRyL6jzfzRERFRXGeCD24du0azp49y7YMMmmdOnWCo6MjZsyYoTqK2bpx4wYuXLjAtgwLMXToUNy6dQuLFy9WHYUoTR8aEVFWy62MnjOSEXJwcIC3tzc2bdrEFxkGdPnyZfj5+SFLliwICwtD9uzZVUciei8PDw/cu3cP586dUx3F7ISFhQEACxFk0rJmzYrAwEAsX74c9+/fVx3HLEVERAAAJ6q0ED4+PqhcuTImTJiAxMRE1XGIPui9hQgppaeWm5chA5PxaNiwIf7++2+cPXtWdRSLcO/ePfj6+iIhIQFhYWEoUKCA6khEH8R5IvQnLCwM+fPnR+nSpVVHIfok33zzDeLj4zFv3jzVUcxSeHg4nJ2dUaYM3ze0BEIIDBs2DJcuXcKaNZzGj4xbuueIEEI4CSG4CDGhQYMGAMD2DAN49uwZ/Pz8cPPmTWzZsgWlSpVSHYkoTUWKFEGBAgU4T4SOJSYmIjw8HL6+vlyql0xe6dKl4ePjg9mzZ/MdXB2TUiIiIgLe3t6wsvqoaeHIBDVu3BilSpXC+PHjOWqZjJrWz0pCiL5CiGsAngJ4KoS4LoT4TvCvIItVoEABVKhQgYUIPYuPj0dAQACOHz+OtWvXonr16qojEWmF80Tox8GDB/H06VO2ZZDZ6N27N27cuIH169erjmJWzp49i9u3b3N+CAtjZWWFIUOG4OTJk9iyZYvqOETvpVUhQgjxC4BRAH4HUCdl+w3ADwAm6CscGb+GDRtiz549ePTokeooZikpKQmBgYGIiIjAggULUL9+fdWRiNLFw8MD9+/fZwuXDoWFhcHKyoo932Q2GjRogMKFC2P6dM5/rkucH8JytW7dGoUKFcK4ceP4RgAZLW1HRHwN4Gsp5U9Syp0p208AugLoor94ZOwaNmyI5ORkbNu2TXUUsyOlRJ8+fbB69WpMnDgRgYGBqiMRpdubeSLYnqE7YWFhqFq1KierJbNhbW2NoKAg7Nq1C8ePH1cdx2yEh4ejSJEicHV1VR2FDMzW1hYDBw7Evn37EBMTozoO0Tulp2HsxHtuY9OZBatSpQqcnZ3ZnqEHP/30E2bNmoX+/ftjwIABquMQfZTChQujYMGCnLBSRx49eoRDhw6xLYPMTufOnZExY0Yu5akjiYmJiIqKYluGBevcuTNy5cqFcePGqY5C9E7aFhEWAwh6x+09ASzRXRwyNVZWVmjQoAG2bt3KSaZ0aN68efj+++/Rrl07/PLLL6rjEH00IQQ8PDw4T4SOhIeHIzk5mYUIMjvZsmVD+/btsWzZMjx8+FB1HJN3+PBhPHv2jG0ZFszBwQH9+vXD9u3bcfjwYdVxiP5D20KEPYCOQohzQohFKdtZAJ0B2Aghpr/Z9BeVjFXDhg3x5MkT7N27V3UUs3Dw4EH06tULdevWxYIFCzjTNZk8Dw8PPHjwAKdPn1YdxeRt27YNWbNmRZUqVVRHIdK5b775Bq9eveJSnjoQHh4OAPD09FSchFTq2bMnsmTJgvHjx6uOQvQf2r7CKQngCIDbAAqlbHdSbisFoGzKxkWKLVCdOnVga2vL9gwdePToEVq0aIF8+fJhxYoVsLW1VR2J6JO9mSeC7RmfRkqJsLAw+Pj4wMbGRnUcIp0rU6YMvLy8MGvWLI6y/EQRERGoUKECnJ2dVUchhTJnzoxvvvkGISEhOHfunOo4RP+iVSFCSump5eal78BkfDJnzozatWuzEPGJpJTo1KkTbt26hVWrVnEiOjIbhQsXRqFChViI+ESnT5/GrVu32JZBZq137964fv06Nm7cqDqKyYqNjcWePXs4PwQBAPr06YMMGTJgwgQudGjKnj9/bnYF2o8a8y2EcBBC+AghCuk6EJmmhg0b4uzZs7h06ZLqKCZr8uTJ2LhxIyZOnIhq1aqpjkOkUx4eHoiOjkZycrLqKCYrLCwMAFiIILPWqFEjFCpUiEt5foI9e/YgISGBhQgCADg7O6Nr165YunQprl69qjoOpdPr168xa9YsFCtWDMHBwarj6JRWhYiUOSF6pXxuB+AggO0Azgsh/PSYj0xEw4YNAQBbtmxRnMQ07d27F0OGDEFAQAC+/fZb1XGIdI7zRHy6sLAwlC5dGi4uLqqjEOnNm6U8o6OjceLEuxZso7SEh4fD1tYWbm5uqqOQkXiz+tqkSZMUJyFtSSmxevVqlC5dGt988w1KlSqF8uXLq46lU9qOiPAFsD/lc38AmQDkATAqZSMLV7RoUZQsWRIhISGqo5icBw8eoGXLlnBxccH8+fMhhFAdiUjnOE/Ep4mNjUVMTAxHQ5BF6NKlCxwcHDBz5kzVUUxSREQEqlevDicnJ9VRyEi4uLggMDAQ8+bNw71791THoTRERUWhWrVqaNmyJTJkyIAtW7YgMjISlStXVh1Np7QtRGQD8OaqrQfgDynlPQArAZTWRzAyPW3btkV0dDT+/vtv1VFMRnJyMgIDA3Hv3j2sWbMGWbNmVR2JSC9cXV3h6urKQsRHiomJQXx8PAsRZBGyZ8+Odu3aYenSpXj06JHqOCbl0aNHOHLkCJftpP8YNGgQ4uPjMXnyZNVR6D1OnDiB+vXrw9PTE7dv38bChQtx7Ngx1K9f3yzfqNS2EHEHQBkhhDU0oyPCU253AvBaH8HI9LRv3x4AsGTJEsVJTMcvv/yCrVu3YsqUKahUqZLqOER65eHhgaioKM4T8RHCwsKQIUMGuLu7q45CZBC9e/dGXFwc5s+frzqKSYmMjISUkvND0H+UKFECbdq0weTJk3H06FHVcSiVa9euoWPHjqhQoQL27duHX375BRcuXEDHjh1hbW2tOp7eaFuIWABgFYBTAJIARKTcXg0A14IhAEChQoXg5eWF4OBgSClVxzF6u3btwogRI9CyZUv07NlTdRwivfPw8MCjR49w6tQp1VFMzrZt2+Du7g4HBwfVUYgMomzZsvDw8MCsWbOQlJSkOo7JiIiIgJOTE6pWrao6ChmhadOmIWfOnGjbti1iY2NVx7FYsbGxiIiIwMiRI+Hh4YFixYph5cqV6N+/Py5duoSBAwdaxP/32i7fOQZAZwBzAdSSUiak3JUIgGvB0D86dOiAy5cvY/fu3aqjGLV79+6hVatWKFKkCObOnWuWw62I3sZ5Ij7OtWvXcO7cObZlkMXp3bs3rl69ik2bNqmOYjLCw8NRu3Zt2Nraqo5CRihHjhwIDg7G2bNnMWjQINVxLMbz58+xbds2DBs2DF9++SWyZs0KHx8fjB07Fi9evECfPn1w4cIFTJw4EdmzZ1cd12BstN1RSvnHO24zrzVE6JM1a9YMQUFBWLRoEWdrfo+kpCS0a9cOjx49QmhoKDJnzqw6EpFBFCpUCIULF0ZUVBRXh0kHLttJlsrf3x8FCxbEjBkz0KRJE9VxjN61a9fw119/cZQlfVCdOnXw3XffYcqUKfDz80ODBg1URzJ5Uko8evQIN27cwI0bN3D9+vV/Pj9z5gyOHDmCpKQk2NjYoHLlyujXrx/c3d3x5ZdfIkuWLKrjK/PeQoQQIgDAJinl65TP30tKyaUSCADg6OiIr776CmvWrMH06dPh6OioOpLRGTduHHbs2IG5c+ea3TI8RGnx8PDAhg0bkJycDCsrbbsDLVtYWBgKFCiA0qU5NzRZFhsbG/To0QPDhg3DuXPnULJkSdWRjFpEhKZzmhNVUlrGjRuH8PBwdO7cGSdPnkSuXLlURzJqr1+/xvXr13H16lVcuXLln4/Xrl37p+AQFxf3r8dYW1sjX758KFKkCIYOHQp3d3fUrFmTr41S+dCIiLXQLNF5L+Xz95EAzHcWDUq3jh07YtGiRVi3bh3atWunOo5R2bdvH0aNGoW2bdvi66+/Vh2HyOA8PDywcOFCnDx5koU4LSQmJiI8PBxfffUVW7jIInXp0gUjR47EnDlzMG3aNNVxjFpERARy5cqFMmXKqI5CRi5DhgxYvnw5KleujM6dO2PTpk38PwaaFor9+/dj3759uHDhwj8Fh1u3bv1rom0hBPLly4eCBQuiYsWKaNSoEVxcXFCgQAEUKFAALi4uyJ07N2xstG4+sEjv/elIKa3e9TlRWtzc3ODq6org4GAWIlJ5+fIlAgMDUbBgQcyePZtP+GSRUs8TwUJE2g4ePIinT5+yLYMsVq5cudC8eXMsWrQIP/30E5ycnFRHMkpSSkRERMDb25t/X5BWypQpg19++QV9+vTBnDlz0KtXL9WRDO7GjRvYs2cP9uzZg927d+P48eNITk6GEAIFCxaEq6srvLy84OrqikKFCv3z0cXFBXZ2dqrjmzyWaUjnrKys0KFDB4wZMwbXr1+Hi4uL6khGYdCgQbh06RIiIyM5LwRZrIIFC6JIkSKIjIxEnz59VMcxemFhYbCysuJQa7JoQUFBWL58OZYvX45u3bqpjmOUzpw5gzt37nDZTkqX3r17IzQ0FP3794enpydKlSqlOpJe3b9/HyEhIYiJicGePXtw9epVAEDGjBlRvXp1DB8+HF9++SWqV69u0XM3GIpWIx2EELWFENOFEJuFEJuEENOEEDqbiVAIMVEIcU4IcUIIsU4IkVVXxyY1AgMDIaXEkiVLVEcxCmFhYZg9ezb69euH2rVrq45DpJSHhwdiYmL+NcyR3i0sLAxVq1ZFtmzZVEchUqZGjRooX748Zs2axeXB3+PN/BAsRFB6CCGwcOFCODk5oU2bNoiPj1cdSefi4+Oxdu1a+Pv7I1++fOjRowciIyNRpUoVTJ06FYcOHcKTJ08QERGBMWPGwNfXl0UIA0mzECGEmAYgEkBbADkAOANoDyBKCDFVRzl2ACgjpSwH4AKAoTo6LilSpEgRuLu7Izg42OL/aHj8+DE6d+6M0qVLY+zYsarjECnn4eGBx48f49ixY6qjGLWHDx/i4MGDbMsgiyeEQFBQEE6cOIG9e/eqjmOUwsPDUbRoUbi6uqqOQiYmb968mD9/Po4dO4bvv/9edRydkFJi37596NmzJ/LkyYPmzZvj8OHD6NevH06ePImbN29izZo16NOnDypXrszlbhX5YCFCCNEQQC8A3QE4SylrSCmrA8iZcnsvIcQnr/kipdwupUxM+XI/gAKfekxSr0OHDrhw4QL279+vOopS33zzDe7du4clS5YgQ4YMquMQKVenTh0A/78sJb1beHg4pJQsRBABaNOmDbJkyYJZs2apjmJ0EhMTER0dzdEQ9NH8/f3RrVs3TJo0CZGRkarjfLS///4bP/74Iz777DPUrFkTwcHBaNCgAbZv345r165hwoQJKFOmDOdRMRLiQ+9WCyFCAPwtpez/nvunACgkpfzg8p7pCiTEJgCrpJRL33N/NwDdACB37tyVVq5cqatTG8yLFy8sYrKl2NhYNGvWDHXq1EG/fv1Ux1EiMjISY8aMQefOndG+fXvVcQzCUq5v+jRdu3aFo6Mjpk6dqjpKuhnqGp8wYQL27NmDdevWwdqai1ORYRjzc/jMmTOxYcMGrFq1CtmzZ1cdx2gcOXIE/fv3x+jRo+Hu7q46jlEz5utbtbi4OHTv3h1xcXGYP3++ycxnJqXE8ePHsWrVqn/e/KxYsSLq1q0Ld3d3ZMyYUXFCwzK2a9zT0/OwlLLyO++UUr53A3ANQI0P3F8DwLUPHSPVvuEATr1ja5xqn+EA1iGlQJLWVqlSJWmKIiMjVUcwmHbt2sksWbLI2NhY1VEM7tatWzJ79uyyatWq8vXr16rjGIwlXd/08QYPHixtbGzk06dPVUdJN0Nc44mJidLZ2Vm2adNG7+ciSs2Yn8PPnTsnAcixY8eqjmJUgoKCpIODg3zx4oXqKEbPmK9vY/Dnn39KGxsb2bRpU5mQkKA6zge9fv1arlixQlaqVEkCkM7OznLkyJHyypUrqqMpZWzXOIA/5Xtey6c1R4QzgOsfuP96yj5pklL6SCnLvGPbAABCiA4AGgJomxKazEDHjh3x9OlTbNy4UXUUg5JS4uuvv0ZcXBwWL17MdYSJ3uLr64vExESTHgKqT4cOHcL9+/fRsGFD1VGIjEaJEiXg4+OD33//HYmJiWk/wAIkJydj3bp1qFevHhwdHVXHIRNXqVIlTJgwAevWrYObmxuuXLmiOtJ/PH/+HFOnTkXRokXRunVrvHjxAnPnzsXVq1cxatQoFCpUSHVE0lJahQh7AAkfuP81gE9eRFUIUQ/AYAD+UsrYTz0eGQ9PT0+4uLhg0aJFqqMY1Lx58xAaGopffvkFJUqUUB2HyOh8+eWXcHR05DwR77Fp0yZYW1ujXr16qqMQGZVevXrh+vXr2Lx5s+ooRuHgwYO4desWAgJ01iVNFq5fv35YvXo1zp49i4oVKyIkJER1JADAzZs3MWTIELi4uOC7776Dq6srNm7ciDNnzqBr165wcHBQHZHSSZvlO3sIIfq9awPQQ0c5ZgLIBGCHEOKYEOI3HR2XFLOyskL79u2xfft23Lp1S3Ucg7h8+TK+++47+Pj4oFevXqrjEBklOzs7eHl5Ydu2bRa/ss67bN68GbVq1eKynURvadSoEQoUKIDZs2erjmIUQkJCYGtry9FTpFPNmzfH0aNHUaxYMTRr1gy9e/dWsrSnlBL79+9H+/btUbhwYUycOBG+vr44cOAAoqOj0ahRI1hZafNyloxRWr+5awA6Aej9nq1jyj6fREpZTErpIqWskLLpqsBBRqBDhw5ITk7G0qXvnH/UrCQlJaFDhw6wsbHBggUL+ORI9AG+vr74+++/cfHiRdVRjMrVq1dx4sQJNGrUSHUUIqNjY2OD7t27Y8eOHbhw4YLqOEpJKRESEgJvb29kzZpVdRwyM0WKFMGePXvw3XffYebMmahZs6bB/r+OjY3F/PnzUalSJdSoUQMbNmxAjx498Ndff2HVqlWoWrWqQXKQfn3wVZKU0lVKWTitzVBhyTR99tlnqFGjBoKDg83+nc/Jkydj9+7dmDlzJlxcXFTHITJqb9oO2J7xb1u2bAEAvsNJ9B5ff/01bG1tMWfOHNVRlDp58iQuXbrEtgzSGzs7O0yePBkbNmzA33//jS+++AL6XLHw4sWL6N+/PwoUKICvv/4aCQkJmD17Nm7evInp06ejSJEiejs3GR7friWD6NixI86cOYM///xTdRS9OXHiBEaMGIFmzZqhbdu2quMQGb2iRYuiaNGi2LZtm+ooRmXz5s0oVqwYPvvsM9VRiIxSnjx50KxZMyxcuBAvX75UHUeZkJAQCCHQuHFj1VHIzPn7++PYsWMoW7YsWrdujW7duiE2VjfT+iUlJWHz5s3w8/ND8eLFMX36dPj4+CAqKgonT55Ez549kSlTJp2ci4wLCxFkEC1atIC9vT2Cg4NVR9GLV69eoW3btsiePTvmzJkDIYTqSEQmwdfXF5GRkUp6T43Ry5cvsXPnTjRq1IjPI0Qf0KtXLzx9+hQrVqxQHUWZkJAQuLm5IVeuXKqjkAUoWLAgoqKiMHToUPzvf/9DpUqVMGTIEKxYsQKnT5/WeiWbhw8fYtu2bRgzZgwaNmyIPHnyoFGjRjh+/DhGjhyJq1evYvXq1ahduzb/HzRzXFOQDCJr1qxo2rQpli9fjl9//RX29vaqI+nUkCFDcOrUKWzduhXOzlqtaEtE0LRnzJ49G3v27IGXl5fqOMqFh4cjPj6ebRlEaahVqxbKli2LWbNmoUuXLhb3guWvv/7CyZMnMXXqVNVRyILY2tpi3LhxqF27NoYOHYrJkyfj9evXAAB7e3uULl0a5cuXR7ly5VC+fHmUKlUKV69exYEDB3Dw4EEcPHjwn3kmhBAoVaoUGjVqBD8/PzRp0gS2trYqvz0yMBYiyGA6dOiAlStXYvPmzWjWrJnqODqzfft2TJs2Db179+ZSe0Tp5OnpCVtbW2zbto2FCGiW7cycOTPc3NxURyEyakII9OrVCz179sT+/ftRo0YN1ZEM6s2Sik2bNlWchCyRr68vfH19kZCQgHPnzuHEiRM4fvw4Tpw4ga1bt2LRokX/eUz+/PlRtWpVdOnSBdWqVUOlSpWQOXNmw4cno8FCBBlMnTp1kC9fPixatMhsChEPHjxAx44dUbp0aUyYMEF1HCKT4+TkhFq1aiEsLAy//PKL6jhKJScnY8uWLahXrx7fFSLSQrt27TBo0CDMnj3bIgsRlStXRsGCBVVHIQtmZ2eHcuXKoVy5cmjXrt0/t9+9excnTpzA2bNn4eLigqpVqyJ//vwKk5Ix4hwRZDDW1tbo1KkTtmzZguPHj6uO88mklOjWrRsePHiAZcuWwcHBQXUkIpPk6+uLEydO4NatW6qjKHXkyBHcuXOHy3YSacnJyQkdOnTA6tWrce/ePdVxDOb69es4ePAgV8sgo5U7d27UqVMH3377LZo2bcoiBL3TewsRQojnQohn2myGDEymrX///siaNSsGDRqkOsonW7BgAdatW4dx48ahQoUKquMQmSxfX18AmjYnS7Zp0yZYWVmxxYsoHXr16oWEhAQsWLBAdRSDWb9+PQCwEEFEJu1DrRnfGCwFWYxs2bJhxIgR6N+/P7Zv3466deuqjvRRLl68iD59+sDLywv9+vVTHYfIpJUvXx558uRBWFgYOnbsqDqOMps3b0aNGjWQM2dO1VGITEapUqXg6emJ2bNno3///hbR1hQSEoLPP/8cJUqUUB2FiOijvXdEhJQyWNvNkIHJ9AUFBcHV1RWDBg1CUlKS6jjp9vr1a7Rr1w52dnYIDg6GlRU7nIg+hRACdevWxY4dO0zyOUEXbt68iSNHjrAtg+gjfPfdd7h+/TrWrl2rOore3b9/HzExMRwNQUQmL12voIQQXkKIb4QQQUIID/1EInNnb2+PcePG4fjx41i6dKnqOOk2duxYHDhwAL///jsKFCigOg6RWfD19cXDhw9x+PBh1VGU2LJlCwBw2U6ij9CgQQOUKFECkyZNgpRSdRy92rhxI5KTk1mIICKTp1UhQgiRXwhxEMAOAIMBDAEQIYQ4IITIp8+AZJ5atmyJypUrY8SIEYiLi1MdR2t79+7F2LFjERgYiObNm6uOQ2Q26tSpAyEEwsLCVEdRYtOmTShcuDBKly6tOgqRybGyskL//v1x5MgRREVFqY6jVyEhIShcuDDKly+vOgoR0SfRdkTEdABJAIpJKV2klC4AiqfcNl1f4ch8WVlZYeLEibhx4wamTZumOo5Wnj17hnbt2qFQoUKYMWOG6jhEZsXZ2RmVKlWyyEJEbGwswsPD0bBhQwghVMchMknt27dHrly5MHHiRNVR9Obp06cIDw9HQEAAnyuIyORpW4ioAyBISvn3mxuklJcBfJtyH1G6eXh4oGHDhhg/fjwePHigOk6a+vTpg6tXr2LJkiXInDmz6jhEZsfX1xf79+/HkydPVEcxqMjISLx69YrzQxB9ggwZMqB3797YunUrTp06pTqOXoSGhiIhIYFtGURkFj51lr1knaQgizVhwgS8ePECP/74o+ooH7R8+XIsWrQIw4cPx5dffqk6DpFZqlevHpKSkhAREaE6ikFt2rQJTk5OcHd3Vx2FyKT17NkTDg4OmDx5suooehESEoI8efKgevXqqqMQEX0ybQsREQCmCyFc3twghCgIYFrKfUQfpXTp0ujSpQtmz56Nixcvqo7zTnv27EHnzp1Rq1YtfP/996rjEJmtatWqIXPmzNi2bZvqKAYjpcTmzZvh6+sLe3t71XGITFqOHDnQuXNnLF26FLdv31YdR6diY2MRGhqKpk2bcrUuIjIL2j6TfQsgI4DLQoirQogrAC6l3PatnrKRhRg9ejTs7OwwbNgw1VH+4+LFi2jcuDFcXFywbt06i1ifnEgVW1tb+Pj4ICwszOxnvn/j2LFjuHnzJlfLINKR7777DklJSZg+3bymMNu+fTtiY2PZlkFEZkOrQoSU8rqU8gsA9QFMAjAZgJ+UspKU8oY+A5L5y5s3LwYMGIA1a9bgwIEDquP84+HDh6hfvz4ATV9mzpw5FSciMn++vr64fv06zp07pzqKQWzevBlCiH+ea4jo0xQtWhQBAQH47bff8Pz5c9VxdCYkJATZsmVD7dq1VUchItKJdI3tklLukFLOkFJOl1KG6ysUWZ4BAwYgd+7cGDBggFG8ExofH4+mTZvi6tWrWL9+PYoXL646EpFF8PX1BQCLac/YtGkTqlWrhly5cqmOQmQ2BgwYgCdPnmDBggWqo+hEQkICNm3ahMaNG3NkJhGZDa0LEUKIBkKIGCHEAyHEfSFEtBCCb+GQTmTKlAmjRo3C7t27sXHjRqVZpJTo3Lkzdu3aheDgYNSqVUtpHiJLUqhQIZQsWdIilvG8c+cODh06xLYMIh2rVq0aatWqhSlTpiAxMVF1nE8WFRWFJ0+esC2DiMyKVoUIIcTXANZBMy/EYABDAPwNYJ0QorP+4pEl+frrr1GyZEkMHjwYr1+/VpZj5MiRWL58OX766Se0atVKWQ4iS+Xr64vo6GjExcWpjqJXoaGhAMBlO4n0YMCAAbh69SrWrl2rOsonCwkJgaOjI+rUqaM6ChGRzmg7ImIwgH5Syk5SyvkpW0cAA6ApShB9MhsbG0yYMAHnz5/H/PnzlWRYtGgRfvzxR3Tp0gVDhw5VkoHI0vn6+uLVq1eIiYlRHUWvNm3aBBcXF5QtW1Z1FCKz06hRI3z22WeYOHGiUbR8fqykpCSsX78eDRo0QIYMGVTHISLSGW0LEQUBvKthdyuAQrqLQ5auUaNGcHNzw8iRI3Hz5k2Dnnvnzp3o2rUrfHx8MGfOHAghDHp+ItKoXbs27O3tzbo949WrV9ixYwcaNWrE5xoiPbCyskL//v1x5MgRREdHq47z0Xbt2oW7d++yLYOIzI62hYhrAN41HqwugKu6i0OWTgiB6dOnIy4uDjVr1jTYzPlnzpxBQEAASpQogbVr13IyKCKFMmbMCHd3d7MuRERFReHly5ecH4JIj9q3bw9nZ2dMmjRJdZSPNm3aNGTPnp3PFURkdj5YiBBCLBBCZIJmyc5pQoj/CSE6CSE6CiHmAZiSch+RzlSoUAHR0dGIj4/Hl19+if379+v1fHfv3kWDBg3g4OCALVu2IEuWLHo9HxGlrV69ejhz5gyuX7+uOopebN68GRkzZoSnp6fqKERmy8HBAd988w22bNmCM2fOqI6TbufPn8eGDRsQFBQER0dH1XGIiHQqrRERHQA4SCl/B9ASQCloCg+/AigJoIWUcq5+I5IlqlixIvbu3Yts2bLBy8sLW7Zs0ct5oqOjUbNmTdy7dw+bNm1CoULsNCIyBm+W8dTXv32VkpKSEBISAl9fX/Z8E+lZr1694ODggF9//VV1lHT79ddfYW9vj2+++UZ1FCIinUurEPFP46qUcp2UspaUMkfKVktKuUHP+ciCFSlSBHv37kXp0qXRuHFjLFq0SGfHfvHiBXr37g0PDw8IIbB9+3ZUrlxZZ8cnok9TunRplCxZEitWrFAdReciIiJw+/ZttG3bVnUUIrOXM2dOdOrUCUuXLsXt27dVx9HanTt3sHjxYnTo0AG5cuVSHYeISOe0mSPCdKcaJpOXK1cuREZGwsvLC506dcKECRM+efbrqKgolCtXDrNmzUKfPn1w/PhxfPnllzpKTES6IIRA27ZtERMTY3btGUuWLEHWrFnZ801kIN999x1ev36NmTNnqo6itRkzZiAhIQH9+/dXHYWISC+0KUTcEUIkfWjTe0qyaJkyZcLmzZvRunVrDBkyBN999x2Sk5PTfZwXL17gm2++gaenJ6ytrREdHY2pU6ey75LISLVu3RoAzGpUxIsXLxASEoKWLVvC3t5edRwii1CsWDE0bdoUs2fPxpMnT1THSdOLFy8wZ84cNG3aFMWLF1cdh4hIL7QpRHQD0CKNjUiv7OzssHTpUvTt2xfTpk1D27ZtER8fr/XjIyMjUbZsWcyePRt9+/bF8ePH4ebmpsfERPSpihYtiurVq2P58uWqo+hMSEgIYmNj0b59e9VRiCzKiBEj8PTpU4wZM0Z1lDTNnz8fjx8/xsCBA1VHISLSGxst9tkkpbyn9yREabCyssLkyZORN29eDB48GPfv30enTp3g6Oj4zs3JyQnJyckYOnQo5syZg+LFiyMmJga1atVS/a0QkZbatGmDb7/9FqdPn8bnn3+uOs4nW7x4MYoUKYKaNWuqjkJkUSpWrIivv/4aM2bMQNeuXVGqVCnVkd7p9evXmDx5MmrVqoXq1aurjkNEpDdpFSI4PwQZFSEEBg0ahDx58uDrr79GRESEVo/p168ffvzxR2TMmNEAKYlIV1q0aIHvvvsOy5cvx08//aQ6zie5ceMGdu7ciR9++AFCiLQfQEQ69dNPP2H16tXo27cvtm3bZpT/DtesWYNr166Z1HwWREQfI61ChPE9QxMBCAwMRKNGjXD//n28fPkSL168wMuXL/+zxcbGom7dunxXgchE5c6dGz4+Pli+fDnGjh1rlC8ctLV8+XJIKdmWQaSIs7MzRo8ejb59+2Ljxo1o3Lix6kj/IqXExIkTUbJkSTRo0EB1HCIivfpgIUJKqc0cEkRKZMuWDdmyZVMdg4j0rG3btggMDMS+fftMtqVBSonFixejZs2aKFq0qOo4RBarV69emDt3Lvr16wdfX19kyJBBdaR/RERE4NixY5g3bx6srPgnOBGZNz7LERGRUWvSpAkyZMiAZcuWqY7y0Y4dO4bTp09zNASRYra2tpg2bRouX76MyZMnq47zL7/88gvy5MmDdu3aqY5CRKR3LEQQEZFRy5QpE/z9/bF69Wq8fv1adZyPsmTJEtjZ2aFFCy40RaSaj48PmjZtip9++gk3btxQHQeApli5Y8cO9OnTh0v7EpFFYCGCiIiMXtu2bfHgwQOEh4erjpJuiYmJWL58ORo2bIjs2bOrjkNEAH799VckJSVh8ODBqqMAACZNmgQnJyf06NFDdRQiIoNgIYKIiIxevXr1kC1bNpNsz9ixYwfu3r2LwMBA1VGIKEXhwoUxaNAgLF++HLt371aa5erVq1i5ciW6du2KrFmzKs1CRGQoLEQQEZHRs7OzQ/PmzbF+/Xq8fPlSdZx0Wbx4MXLkyAE/Pz/VUYgolcGDB6NAgQLo3bs3kpKSlOWYOnUqhBDo27evsgxERIbGQgQREZmENm3a4OXLl9i4caPqKFp79uwZ1q9fj5YtW8LOzk51HCJKxdHREZMmTcKxY8cwf/58JRkeP36M//3vf2jVqhUKFiyoJAMRkQosRBARkUlwc3NDgQIFsHz5ctVRtPbHH3/g1atXbMsgMlItWrSAu7s7hg0bhsePHxv8/L/99htevnyJAQMGGPzcREQqsRBBREQmwcrKCq1bt8a2bdvw4MED1XG0snjxYhQvXhxVq1ZVHYWI3kEIgenTp+Px48cYOXKkQc/96tUrTJs2Db6+vihfvrxBz01EpBoLEUREZDLatGmDxMRErF27VnWUNF29ehVRUVEIDAyEEEJ1HCJ6j/Lly6N79+6YPXs2Tp06ZbDz/v7777h79y4GDhxosHMSERkLFiKIiMhklC9fHqVLlzaJ1TPeZGzXrp3iJESUlh9//BGZM2dGnz59IKXU+/lCQ0PRv39/+Pr6wsvLS+/nIyIyNixEEBGRyRBCoE2bNti9ezeuXr2qOs57SSmxZMkSuLm5wdXVVXUcIkpDjhw58OOPP2Lnzp0YP368Xs914MABNG/eHOXLl8eaNWs4YoqILBILEUREZFLatGkDAFixYoXiJO93+PBhnDt3jpNUEpmQHj16oE2bNhg+fDiGDRuml5ER58+fR4MGDZA3b16EhoYiU6ZMOj8HEZEpYCGCiIhMSuHChVGjRg2jXj1j8eLFsLe3x1dffaU6ChFpydraGosXL0a3bt0wfvx49OnTB8nJyTo7/q1bt+Dr6wtra2uEhYUhd+7cOjs2EZGpMapChBBigBBCCiFyqs5CRETGq23btjh58iROnjypOsp/vH79GitXrkTjxo2RNWtW1XGIKB2sra3x22+/oX///pgxYwa6dOmCpKSkTz7ukydPUK9ePTx8+BBbt25F0aJFdZCWiMh0GU0hQgjhAqAOgGuqsxARkXFr3rw5rK2tjXJURFhYGO7fv4/27durjkJEH0EIgYkTJ2LUqFFYtGgRWrdujYSEhI8+3qtXr9C4cWOcO3cO69atwxdffKHDtEREpsloChEApgAYBED/UxUTEZFJy5UrF+rUqYMVK1bodOi0LixevBjOzs7w9fVVHYWIPpIQAiNHjsSvv/6KNWvWoEmTJoiLi0v3cZKSktC2bVvExMRg8eLF8PHx0UNaIiLTIwyxRFGaIYTwB+AtpewjhLgCoLKU8sF79u0GoBsA5M6du9LKlSsNF1RHXrx4AScnJ9UxiPSC1zcZyo4dOzBu3DhMnz4dZcuWNdh5P3SN37t3D+3atUOjRo3Qu3dvg2Ui0hU+h//Xpk2bMGXKFJQrVw7jxo1DxowZtXqclBJTp07Fxo0bERQUxDljjACvbzJ3xnaNe3p6HpZSVn7XfQYrRAghwgHkecddwwEMA1BXSvk0rUJEapUrV5Z//vmnboMaQFRUFDw8PFTHINILXt9kKM+fP0fu3LnRvHlzBAcHG+y8H7rGO3TogFWrVuH8+fMoVKiQwTIR6Qqfw99t+fLlCAwMRKVKlbB161Zkz549zceMGTMGI0eOxKBBgzBhwgQDpKS08Pomc2ds17gQ4r2FCBtDhZBSvnMsmhCiLIDCAI6nrKNcAMARIURVKeUdQ+UjIiLTkilTJvTs2RNTpkxBv379UL58eaV5jh07hiVLlmDgwIEsQhCZmTZt2sDR0REtWrSAh4cHBg4ciNevXyM+Ph4JCQn/2e7evYuFCxciMDAQP//8s+r4RERGx2CFiPeRUp4EkOvN1+kZEUFERJZtxIgRWLRoEQYMGIDt27cjpaCtxKBBg5A9e3YMHTpUWQYi0p/GjRtjy5YtaNy4MQIDA9+7n52dHezs7NCyZUvMmzdP6fMSEZGxUl6IICIi+ljZsmXDDz/8gL59+2Lr1q2oX7++khxhYWHYsWMHpk6dyiU7icyYj48Pbty4gYcPH/5TcHiz2dvbw8bGhoUHIiItGNOqGQAAKaUrR0MQEZG2evbsiWLFimHAgAFITEw0+PmTkpIwcOBAFClSBD179jT4+YnIsLJly4ZixYqhYMGCyJMnD7Jnzw4nJyfY2tqyCEFEpCWjK0QQERGlh52dHSZOnIizZ89i3rx5Bj//4sWLcfLkSYwfPx52dnYGPz8RERGRqWEhgoiITF7jxo3h7u6OH374Ac+ePTPYeWNjYzFixAhUq1YNzZs3N9h5iYiIiEwZCxFERGTyhBD49ddfcf/+fYPOUD916lTcunULEydO5JBsIiIiIi2xEEFERGahcuXKaNeuHaZMmYJr167p/Xz37t3Dzz//jMaNG8PNzU3v5yMiIiIyFyxEEBGR2Rg3bhwAYNiwYXo/15gxYxAbG4sJEybo/VxERERE5oSFCCIiMhsuLi7o168fli1bhkOHDuntPBcuXMDvv/+Obt26oUSJEno7DxEREZE5YiGCiIjMypAhQ5ArVy70798f8v/Yu+/oqKquDeDPTkLvvUpv0kMNJEBoCS1AQBBEQUBFkF5VVBQFFamigIgUFZAiXXoKLYUepCi9Se+EEEg53x8z8Yt5QzJJZuZMeX5r3UVyZ+beZ5KbkNlzzj5KWewcWbNmxYQJEyxyfCIiIiJHxkIEERE5lFy5cmHixInYs2cP1q1bZ/bj//nnn1i7di3GjRuHIkWKmP34RERERI6OhQgiInI4/fv3R9WqVTF27Fg8f/7cbMdVSmHevHkoVqwYRowYYbbjEhERETkTFiKIiMjhuLm5YerUqTh79izmzJljtuP+/vvvOHnyJD7//HPkyJHDbMclIiIiciYsRBARkUNq06YNWrdujYkTJ+LevXsZPt6TJ0/w/vvvo2zZsnjzzTczHpCIiIjISbEQQUREDklEMG3aNDx8+BBjx45FTExMuo+1d+9e1KpVC+fOncPAgQPh6upqxqREREREzoWFCCIiclg1atTAsGHD8NNPP6FmzZrYunVrmh7/9OlTjBw5Ek2bNkV8fDyCgoJQv359C6UlIiIicg4sRBARkUObNm0aNm7ciNjYWLRt2xYdOnTA6dOnU31caGgoateujRkzZmDgwIE4duwYvL29LR+YiIiIyMGxEEFERA5NRNChQwecOHEC33zzDfbs2YNq1aph1KhRePDgwf/cPzo6GmPHjoWXlxeio6Oxc+dOfP/998iZM6f1wxMRERE5IBYiiIjIKWTOnBmjR4/G6dOn8eabb2LGjBmoVKkS5s+fj7i4OADA/v374e7ujm+++QZvvfUW/vzzT7Rs2VJzciIiIiLHwkIEERE5lSJFiuDHH3/EoUOHUKVKFQwYMAB169bF0KFD0ahRIzx58gTbtm3DDz/8gNy5c+uOS0RERORwWIggIiKn5O7ujl27dmHFihW4f/8+Zs+ejb59++LPP/+Ej4+P7nhEREREDstNdwAiIiJdRATdu3eHn58fLly4gKpVq+qOREREROTwOCKCiIicXrZs2ViEICIiIrISFiKIiIiIiIiIyGpYiCAiIiIiIiIiq2EhgoiIiIiIiIishoUIIiIiIiIiIrIaFiKIiIiIiIiIyGpYiCAiIiIiIiIiq2EhgoiIiIiIiIishoUIIiIiIiIiIrIaFiKIiIiIiIiIyGpYiCAiIiIiIiIiq2EhgoiIiIiIiIisRpRSujOkm4jcBnBJd450KAjgju4QRBbC65scHa9xcmS8vsmR8fomR2dr13hppVSh5G6w60KEvRKRg0qperpzEFkCr29ydLzGyZHx+iZHxuubHJ09XeOcmkFEREREREREVsNCBBERERERERFZDQsReszXHYDIgnh9k6PjNU6OjNc3OTJe3+To7OYaZ48IIiIiIiIiIrIajoggIiIiIiIiIqthIYKIiIiIiIiIrIaFiAwSkTYi8reInBWR95O5XUTkW+Ptx0SkTmqPFZH8IrJDRM4Y/81nredDlJiFru9vROQv4/3XikheKz0dov9hiWs80e2jRUSJSEFLPw+i5Fjq+haRIcbbTojIFGs8F6LkWOjvlNoiEiYiR0XkoIg0sNbzIUosg9f3QhG5JSLHkzzGdl5nKqW4pXMD4ArgHIByADIDiABQNcl92gHYAkAAeAAIT+2xAKYAeN/48fsAvtb9XLk532bB69sHgJvx4695fXPTtVnqGjfe/hKAbQAuASio+7lyc77Ngr/DmwPYCSCL8fPCup8rN+fcLHiNbwfQNtHjg3U/V27Ot2Xk+jbe1hRAHQDHkzzGZl5nckRExjQAcFYpdV4p9RzAbwA6JblPJwA/K4MwAHlFpFgqj+0EYInx4yUAOlv4eRAlxyLXt1Jqu1Iq1vj4MAAlrfFkiJJhqd/hADADwFgA7AhNuljq+h4I4Cul1DMAUErdssaTIUqGpa5xBSC38eM8AK5Z+okQJSMj1zeUUrsB3EvmuDbzOpOFiIwpAeBKos+vGveZcp+UHltEKXUdAIz/FjZjZiJTWer6TqwfDJVcIh0sco2LSEcA/yilIswdmCgNLPU7vBKAJiISLiK7RKS+WVMTmc5S1/hwAN+IyBUAUwF8YL7IRCbLyPWdEpt5nclCRMZIMvuSvvv1ovuY8lginSx6fYvIeACxAJamKx1Rxpn9GheR7ADGA/gkg9mIMspSv8PdAOSDYRjwGAArRSS5+xNZmqWu8YEARiilXgIwAsBP6U5IlH4Zub7tAgsRGXMVhnnACUrif4dvveg+KT32ZsKwGuO/HPZIOljq+oaI9AHQAUAvZZykRqSBJa7x8gDKAogQkYvG/YdFpKhZkxOlzlK/w68CWGMcCrwfQDwANmQlHSx1jfcBsMb48SoYhsgTWVtGru+U2MzrTBYiMuYAgIoiUlZEMgPoAWBDkvtsANDb2NXUA8BD4zCYlB67AYZfgjD+u97ST4QoGRa5vkWkDYBxADoqpaKs9WSIkmH2a1wp9adSqrBSqoxSqgwMfyTUUUrdsNqzIjKw1N8o6wC0AAARqQRDE7U7Fn82RP/LUtf4NQDNjB+3AHDG0k+EKBkZub5TYjOvM910ndgRKKViRWQwDJ3RXQEsVEqdEJF3jbfPA7AZho6mZwFEAeib0mONh/4KhqGO/QFcBtDNik+LCIBFr+/vAGQBsMM4mjdMKfWu9Z4ZkYEFr3Ei7Sx4fS8EsNC4JNxzAH04so10sOA1/jaAWSLiBiAawDtWfFpEADJ2fQOAiCwH4A2goIhcBTBBKfUTbOh1pvD/DiIiIiIiIiKyFk7NICIiIiIiIiKrYSGCiIiIiIiIiKyGhQgiIiIiIiIishoWIoiIiIiIiIjIaliIICIiIiIiIiKrYSGCiIiIkiUib4pIpMbz5xORmyJS3krnmyoi31rjXERERM6My3cSERE5IRFJ7Q+AJQAGAsillLplhUj/Q0S+AVBQKdU31Tub53yFAJwDUFspdd4a5yQiInJGLEQQERE5IREpmujTDgB+BFAs0b6nSqmH1k31/0QkO4B/APgppfZa8byrAVxQSo2x1jmJiIicDadmEBEROSGl1I2EDcCDpPuUUg+TTs0QkU9F5LiI9BGRiyISKSKLRCSziAwSkSsicldEpouIS6LHZRaRr0Xkqog8EZEDIuKbSsR2AOIB7Et0nEwi8q2IXBORZ8bzfZWW84hIFRHZICIPjflDRaRGortsANAzHV9SIiIiMpGb7gBERERkV8oA6ATDKIoSAH4HUBTADQA+AKoAWAlDAeF342MWASgP4DUAV2EoMmwUkfpKqYgXnKcJgEPqv0M3hwLwB9ADwEUAJQFUTnR7iucRkeIA9hqztYahANMAgGuiY+wHUEJEyiulzpn6RSEiIiLTsRBBREREaeEKoK9x2sZxEdkKoBmAEkqp5wBOicg+AM0B/G5sNNkTQBml1GXjMb4TkVYABgAY9ILzlAZwPZl9pwHsMRYoLgMIAQATz/MegCcAuhmzwni8xK4Z/y0DQ78IIiIiMjMWIoiIiCgtLifpHXETwOlEL+wT9hU2flwHgAA4KSKJj5MFQGAK58lmPE5iiwHsAHBaRLYD2Axgi1Iq3sTzuAPYmyRrUk8TnZ+IiIgsgIUIIiIiSouYJJ+rF+xLmO7gYvy8fjL3e4oXuwMg338OqtRhESkDoA2AFjCs7BEhIq1NPI8gdfmN/9424b5ERESUDixEEBERkSUdgaEAUFQpFZTGx72ZdKdS6jGAVQBWichiAGEAKph4nsMAXheRzCmMiqgOQyHjzzRkJSIiojTgqhlERERkMUqp0wCWAlgsIq+ISDkRqScio0WkSwoP3QbgZREpkLBDREaKSE8ReVlEKsDQlPIRgKsmnmcOgJwAVopIfRGpYDxe7UTnbQJDD4oos30RiIiI6D9YiCAiIiJL6wvDihZTAPwFYBOApgAuvegBSqk/YVjBokei3Y8BjDHuPwygNoC2iYoGKZ5HKfWP8fPMAIJgGEUxBEBsonP0BPBjep8oERERpU7+uyoWERERkW0QkTYAZgGoqpSKs8L52gP4BkBNpVRsavcnIiKi9OGICCIiIrJJSqmtAL4HUNJKp8wBw9KkLEIQERFZEEdEEBEREREREZHVcEQEEREREREREVkNCxFEREREREREZDUsRBARERERERGR1bAQQURERERERERWw0IEERHZHBEpIyJKRD7VnEOJyGKdGdJKRLyNud90hPOQ8xGRxSLCbupERA6MhQgiIoKItDG+qPw8mdsaGW97JiLZk7l9m4jEi0hB66R1DomKMQlbvIg8FJG/ReQ3EekmIm66c5LpRCSviHwqIt5peMxk4/e/bzK3iYjsMv5sVjdn1kTnOCEiyzN4DJWGrYyZohMRkQ3jHzBERAQAewHEAmiezG3extsyA2gMYGfCDcYXwo0BHFdK3bF8TKvLBiBOc4YdAH42fpwTQDkAHQC8CuCwiPgrpS4nuv9uGHLHWDUlmSIvgAnGj4NNfMynAPwAzBCRnUqpK4luGw6gKYAPlFLHzRPx/4lIRQBVAXyWwUO9keTzJgDeATAfwJ4kt90G8DaAdzN4TiIismEsRBAREZRSkSJyAEADEcmulIpKdLM3DC+Gaxs/3pnotvowvDgONkcOEbGpF9BKqWjdGQCcVkr9mmTfWBEZDmAGgD9ExF0pFQsASql4ALaQm8xAKfVcRPoACAewAIAvAIhIZQCTjPu/sdDp/QE8A7AlIwdJev0aC5jvAAhN5tpOYDO/B4iIyPw4NYOIiBIEAcgEwDNhR6IRD7tgeKc96YgJ70SPTXhMTRFZKyJ3RSRaRE6KyFgRcU38wIR54CJSSEQWishNAE8AlHxRQBHxFZHHIrJHRPIZ9wWLyEURKSci643TFx4ZM5RL5hgiIgNF5JCIRBmPFyQi/zMa5EU9IkSkuYj8keg5nheRn5JOTxGRV0Vkr/EcUSISLiKvvOj5pYVSaiaApQCqA+iR6Jz/07vB+JyHi8gxY5ZHxikeP4lIpkT3u2j8etYRkUARiRSReyKyREQKp5ZJRFxEZLyI7BaRGyLyXEQui8hcESnwgsd0NX79Hxi/Rn+LyLcikjlJ/lS/Z5Kot4iIdBeRoyLyVETOinFqg4iUEpHVxuf1WER+FZFcyeQqZsx92fg8ronI/KRfB+O5lIhUFsM0iqtimCoRISLtEn9fAFwwfjpB/n8qwsXUvq5KqcMAvgTgIyLviOFn6WcAAqCPUirFUTsi8rLxXNNfcPty43MslOQmfwABSqnHxvvlF5EZInLOeN3fNX5PxqT2HNJCkukRIf//+6KA8eM7xu/fOhEparzPOyJyypjtLxHp9ILjW+znkoiITMNCBBERJUgoJngn2pcw4mGXcasvIjkS3e4NQBlvg4jUAxAKQ8FiHoAxAK4C+Br/P70gqR0AigP4HMAHACKTu5MY3hXeZLx/a6XU/UQ35zDmf248xk8A2gHYl/AiJZFfAHwH4CyAsTAMfc8DYIeIdHxBxsQ5BgAIAFATwFwAQ2AoCNRFoiKKiHwB4DcAjwF8DOB9AFEAVonIe6mdx0QLjP+2T+V+H8EweuIigHEwfF/WAmgEIEuS+5aE4fmdh+HrswaGofVBkkyPkCQyG499BoZ36YfC8P3qDyA4cXEBAERkEoDVAAob8w0HsA6G713ic6X1e9YBwLfG7GNg+B4sFJFeMEwFeAzgQwArAfQynjtxrlIADgJ4BcAyAO8ZM/SA4ZrKk8w5l8Aw5WAqDN/vQgDWyf/3PDgFYITx47UwfE3fMD5nU3wO4Kjx+LMBNADwoVLq79QeqJQ6BeAAgNfkfwuCuQF0ArBFKXU70f5iABrC8P1IsArAYBhGSAwBMBHAfvz3d4albYXhe/8JgB9h+F6vNRZDxsDwfXgfhmtxtYiUTfxgK/1cEhFRapRS3Lhx48aNG2DoK/AMQEiifQmFATcAL8NQdPAx3uYGwx/zRxPdfx8M/SRqJtonMLzgUwBaJtq/2Ljv12SylDHe9qnx8/eNn88B4JLkvsHG22Ym2e9v3D8vmX3vJLmvGwwvPC8AkET7FYDFiT4vafwanQSQN5ncLsZ/6xgfOzmZ+6wD8AhArlS+Hwlfg+9SuE9+430OJdrnbdz3ZqJ9hwGcNOEauGh87PAk+0cY97+fynkEQLZkjtvfeN/uifY1MO4LBJA1yf0l4fuQlu9Zoq/ZEwClE923EAzTVeIBjExynDUwFLByJtq3HsAtACWT3LceDNf3p4n2fWo856Yk10594/4vX3Rdp+NntKYxq4KhoOKShse+Z3xcuxd8b7ok2T8Qhv4oRYyf5zHeb056sic59ptJr50kty8GoJLbB+D7JPunG/dfBpA7ydcq6dc/wz+X3Lhx48bNPBtHRBAREQBAKfUUhvnm9RKNevAGsE8pFasM76rewv+/+5kwWiIIAIxD1hsD2KCUOpbouArAZOOn/smcemoKsVxE5DsYhqV/rJQapAw9EJLzVZLnsxbA3wA6J9r9OgzFk3UiUjBhg6GJ4EYYXihWTCFPNxjeaf1MKfUg6Y2JsvWC4QXPksTnMZ5rA4BcMIxGyKhHxn9zp3K/hwBKiIiXicecm2TfHOP+5L5//1IGTwFARFzFsEpEQRiKDYDhHfYEvYz/fqCS9OIwHidhaH56vmfrlFKXEh3vNgzXQjyA75Pcdw8MU5LKGHPngeFd9g0AopOc8yIMozJ8knn6sxJlhlLqgDF3StdTWj2CoRAGAJtT+FlIznIYihi9k+zvDeAeDIWUxDrD0MPhpvHzp8ZzNxS9K1vMTPJ5QrPLn5VSCT8PMP4OeoT/fv2t9XNJRESpYLNKIiJKLAiG4eVeIhIAQ2Hhy0S3J+4T4W38N9j4b8IQ6BPJHPckDC8C/6dnA4DTKeQZDsOLg/FKqckp3O+BUupGMvtPAegsIjmUUk9gGNWRC8DNZO6boEgKmRJe1BxJ4fEwnkcA/JXKeTIqoQDxKMV7GaYhrAOwR0SuwfA9+wPAaqXU8yT3Pa+UepZ4h1LqmYicR/Lfv/8Qke4ARgFwh+EFfmL5En1cEYYXhRGpHDI937PzydznPoDrSZ+bcT8AJPSwqAzD1NX+xi05yR0/uX33Eh03Q0REACyCoRB2CsBHIrJSKXXOlMcrpe6JyB8AOolIHqXUQ2NBoQkMoxz+vQ6MxZjmMIyISnj8czE0SJ0F4IKInIShwLROKRVgjudooqRf54Tv34WkdzTelvjrb62fSyIiSgULEURElFgQDHOvvWF4cZvQHyLBLhiWEcxpvE88DMUJwPAHfpqp/67QkdQOGJYnHCAivymlknuxBxhe0CYnaSaBYXnA11I4Z0rLICYc70XnS3w/BaAtXrz8Z3IFm7Sqafw3xT4BSqlQESkPw4oLzY3bazC8mPVSSt1LfPcXHCbV76+IdAGwAoa+AcMAXIFhSoQrDHP7E4/ETPgapXpYpP179qKveUpNHSXJv7/C0G8gOU/TcOx0/VwkYwgMP3PjYZg6chiGvhfeiUdipGIJDKNausHQX+QNY76k/Vs6wFBEWpd4p1Jqnoish6EnSTMYemgMFpEVSqkesAL14sacpnz9rfVzSUREqWAhgoiIEguF4YVjcxgKEU9haHKXYBcM/3d4w7C6xlH1/00jE4oE1ZI5bhUYXoS+qJDwIn/CUBgJALBLRFoopc4kc798IlI0mVERVQDcMo6GAAxNFCsBCFNKJdsUMxUJL/jdjcd6kTMA2gC4bJzSYilvGf/9I7U7Gp/v78YNIjIIhmkK/fHf5R/Li0jmJO+QZ4FhxEtK7yQDhhe20QCaJy4wiUiVZO77Nwxfo5owFC5eJKPfs7Q6C8OL1cxKqZ2p3TmNTC0Y/IeIVIRhZNIBAF8rpeJE5DMYlu8cAkNjTlNshqGo0xv/X4j4SymV9OvvD+DP5EZbKKWuGx+7wNj48hcAPUVkmnE6ii2z1s8lERGlgj0iiIjoX8Zh66EwrADRAYY54omH7h8HcBeG7vQ58P/TMqCUugUgBICfiFRP2G8cUp4wxHttOjKdgKHw4QpDMSK5F7WAoaHlv0TEH4Zh9usS7f4Zhv/7Ek83SfyY1IZlr4Zhnv0E42oDSR+f8O7rL8Z/JyddpcB4v1SXwkyNiAyDYc77MRhGIaR034LJ7D5s/Dd/kv25AQxKsm+Qcf+6VGLFwfBi+9+/L4xfk4+Sue8y47+TjYWOpJkTvpYZ/Z6liVLqLgwv2LuIiEdyueR/l7k0VUIhJenX/IVExAWGRo2u+O9SnV/D0KzzS+Nol1QppWJg6BXhJSKvwTA95j+jPkQkKwwv1tcm2Z896aopxiwJ/WBMfk4aWfznkoiITMMREURElFQQDCMiGgOYkPgGpZQSkT34/waQQUkeOwyGURN7ROR7ADdgKGj4AliW3rnkSqm/RKQZDHPSg0WkpbFAkeAODC8ci8NQHKkIw4vnmzCsapBwnNUisgiG4eR1YGjQdweG1TAaAaiAFPogKKWuGufJfw/gTxH5GcAlACVgWAKxHwyjRA6IyAQAnwE4KiKrAFwDUAyGIk87GOb6m6KSiLxu/Dg7gPIwfE2rAjgEoLNSKjaVY5wSkTAYmpEm5HgHhqLKb0nuew6GQkt14/HrGp/XX0j9nffVALoCCDR+bTLBcK38z7KfSqn9IvI1DMuJHhKRFTBcL2VhGPLfAIbeHxn6nqXTQAB7Aew2Po8jMBRDysHwff4Zia4rUyml7orIWQA9ROQcDNfnE6XUxhQeNgqGn8Vxid/FN46KeBNpn6KxBIZlVefCMLXq1yS3+8BQZFyXZH8lGAqBa2EoSN6HoefCQBj6M+yBjTPzzyUREWUACxFERJRU4uLCrmRu3wXDi8s4JHnxoZQ6KCKNYfhDfxAML2jOw/Bic1pGQimlziQqRgSJSKtEq3M8AdACwAwYVs8QGHoSjDIOJU98nH4iEgTDC/EPYHjhcQOGF3QfIBVKqbnGF5FjYHhBlwWGFzMBMPRESLjfRBE5ZLzPcBi+FrdgeBE3LA1PvbVxUzC8o56Q9VMAa00oQgCGr307Y5Y8xhxhMCxtmLRZ5FUA3WFYzaQnDMWKpQBGJ5rikiyl1G8ikguG5T6nwvBidSMMo1XuJnP/90UkAsBgAGNheLF/BYYRCVGJ7peh71laKaWuiEhdGK7bTjCs3BFtzLYRhuVo06sXDNfpZBgKNJeMx/wfIvIygIkwfK/+5+dHKXVCRD41HsukKRpKqcMichxAdQA7lVJXk9ylM4BLSqmkDVmvAFgIQ5GyMwzX/T8AfoRhukhKvV5shhl/LomIKAPEtOI5ERGRbRKRYABllFJlNEexeyJyEcBFpZS35iikgXG6wg0AS5VSwzXHISIiB8YREUREREQEGJa6/B4ZG/FBRESUKptqVikieUVktYj8JSKnRKSR7kxEREREzkApdUsp9alS6qTuLERE5NhsbUTELABblVKviEhmJNPcioiIiIiIiIjsl830iDAugxYBoJyJXZ+JiIiIiIiIyM7Y0oiIcgBuA1gkIrVgWDJsWNIO3SLyDgxds5EtW7a6L730ktWDZlR8fDxcXGxqVgyR2fD6JkfHa5wcGa9vcmS8vsnR2do1fvr06TtKqULJ3WZLIyLqwbA8ladSKlxEZgF4pJT6+EWPqVevnjp48KDVMppLcHAwvL29dccgsghe3+ToeI2TI+P1TY6M1zc5Olu7xkXkkFKqXnK32U65xLBu+VWlVLjx89UA6mjMQ0RERERERERmZjOFCKXUDQBXRKSycVdLAOzaTERERERERORAbKlHBAAMAbDUuGLGeQB9NechIiIiIiIiIjOyqUKEUuoogGTnkBARERERERGR/bOZqRlERERERERE5PhYiCAiIiIiIiIiq2EhgoiIiIiIiIishoUIIiIiIiIiIrIaFiKIiIiIiIiIyGpYiCAiIiIiIiIiq2EhgoiIiIiIiIishoUIIiIiIhNs3rwZpUqVwrhx4xATE6M7DhERkd1iIYKIiIgoBfHx8fj000/Rvn17xMXFYcqUKWjWrBkuX76sOxoREZFdYiGCiIiI6AXu3buHDh064LPPPsObb76Js2fPYsWKFTh+/Dhq166NjRs36o5IRERkd1iIICIiIkrGkSNHUK9ePezcuRPz5s3DwoULkS1bNnTv3h2HDx9GmTJl0LFjR4waNQrPnz/XHZeIiMhusBBBRERElMSSJUvQuHFjxMTEYM+ePRgwYABE5N/bK1SogJCQELz33nuYPn06mjZtiosXL+oLTEREZEdYiCAiIiIyevbsGQYNGoQ333wTjRo1wqFDh9CwYcNk75s1a1Z89913WLVqFU6dOgV3d3esW7fOuoGJiIjsEAsRRERERACuXr2KZs2aYe7cuRg7diy2b9+OwoULp/q4V155BUeOHEGFChXg7++P4cOHc6oGERFRCtx0ByAiIiLS7fTp0/Dy8sLTp0+xevVqdO3aNU2PL1euHPbu3Ytx48Zh1qxZiIyMxIIFCyyUloiIyL6xEEFERERO74svvkBUVBQOHDiAl19+OV3HyJIlC2bOnInY2Fj88MMP+Oyzz1CiRAkzJyUiIrJ/nJpBRERETu3y5ctYvnw53n777XQXIRIbOXIk4uPjMXv2bDOkIyIicjwsRBAREZFTmzlzJpRSGDFihFmOV65cOXTp0gU//PADIiMjzXJMIiIiR8JCBBERETmt+/fvY/78+ejZsydKlSpltuOOGjUKDx48wMKFC812TCIiIkfBHhFEZPeUUnj69CkeP36MR48e/c+/Xl5eKF26tO6YRGSD5s6diydPnmDMmDFmPa6HhwcaN26MmTNn4r333oOrq6tZj09ERGTPWIggIrv0+PFjdOzYEUePHsXjx48RFxf3wvsWKVIER44cQbFixayYkIhsXXR0NGbNmoU2bdqgZs2aZj/+qFGj0LVrV6xduxavvPKK2Y9PRERkr1iIICK7NG7cOOzatQsDBgxAgQIFkCtXLuTOnfvffxM+fvjwITp06ICePXti586dcHPjrz0iMvj5559x69YtjBs3ziLH79SpE8qXL4+pU6eia9euEBGLnIeIiMje8C9yIrI7QUFBmDt3LkaOHIlp06alev+5c+fizTffxKeffoovvvjCCgmJyNbFxcVh6tSpqF+/Ppo1a2aRc7i6umLEiBEYPHgwQkJC4OnpaZHzEBER2Rs2qyQiuxIZGYn+/fujYsWK+Pzzz016TJ8+fdC/f39MmjQJW7ZssXBCIrIH69evx5kzZzB27FiLjlR48803kS9fPpOKpkRERM6ChQgisisffvghLl68iIULFyJ79uwmP2727NmoWbMm3njjDVy5csWCCYnI1iml8PXXX6N8+fLw9/e36Lly5MiBgQMHYt26dTh79qxFz0VERGQvWIggIruxe/duzJ49G0OHDoWXl1eaHpstWzasWrUKz549w6uvvoqYmBgLpSQiW7d7927s378fo0ePtspqFoMHD0amTJkwc+ZMi5+LiIjIHrAQQUR2ISoqCv369UO5cuUwadKkdB2jUqVKWLBgAUJDQ/H++++bOSER2YspU6agUKFC6NOnj1XOV6xYMbz22mtYuHAh7t69a5VzEhER2TIWIojILowfPx7nzp3DTz/9hBw5cqT7OK+++iree+89TJ8+HWvXrjVjQiKyB3/++Sc2b96MoUOHIlu2bFY776hRo/D06VPMmzfPauckIiKyVSxEEJHN27dvH2bNmoX33nsP3t7eGT7etGnTUK9ePfTt2xfnz5/PeEAishtTp05F9uzZMWjQIKuet3r16vD19cV3332HZ8+eWfXcREREtoaFCCKyaU+fPkXfvn1RunRpfPXVV2Y5ZpYsWbBy5UqICLp164bo6GizHJeIbNuVK1ewbNkyvP3228ifP7/Vzz9q1CjcuHEDy5Yts/q5iYiIbEmqhQgRySsi/URkiYjsEpH9IvKHiHwuIo2tEZKInNfHH3+MM2fOYMGCBciZM6fZjlu2bFksWbIEhw8fxqhRo8x2XCKyXTNnzoRSCiNGjNBy/latWqFmzZqYPn06lFJaMhAREdmCFxYiRKS4iCwAcB3AeACZARwEsB3AJQDNAOwQkZMi8qo1whKRcwkNDcWMGTMwYMAAtGzZ0uzH79ixI0aPHo05c+bgt99+M/vxich23L9/H/Pnz0ePHj1QunRpLRlEBCNHjsTx48exfft2LRmIiIhsQUojIo4CuA+gnlKqvFKqp1JqlFLqI6XUIKVUUwAFAXwOYKSIjLZCXiJyEtHR0ejXrx9KlCiBKVOmWOw8kydPRuPGjTFw4EA8efLEYuchIr3mzZuHyMhIjBkzRmuOnj17olixYpg6darWHERERDqlVIioppQao5Q68aI7KKWeKqWWK6UaAlhi/nhE5Kw+/fRT/PXXX1iwYAFy585tsfNkypQJU6ZMwYMHD7B8+XKLnYeI9ImOjsasWbPg6+uLWrVqac2SOXNmDB06FDt37kRERITWLERERLq8sBChlLqdlgOl9f5ERC9y6tQpfPPNN+jfvz98fHwsfr7GjRujRo0amDNnDudtEzmgX3/9FTdv3sTYsWN1RwEADBgwADly5MD06dN1RyEiItLC5FUzRKSoiHQRkXdFZFDizZIBicj5LFmyBCKCyZMnW+V8IoJBgwbhyJEj2L9/v1XOSUTWs3z5clSpUgXNmzfXHQUAkC9fPvTq1QurV6/mUp5EROSUTCpEiMjrAC4CWA7gUwAfJ9o+slA2InJC8fHxWL58OXx8fFC4cGGrnbdXr17ImTMn5syZY7VzEpHl3b9/H7t27YK/vz9ERHecf3Xs2BFRUVHYvXu37ihERERWZ+qIiEkApgDIoZQqqpQqlmgrbsF8RORkQkNDcfnyZfTs2dOq582VKxd69+6NFStW4O7du1Y9NxFZzubNmxEXF4dOnTrpjvIfzZs3R5YsWbB582bdUYiIiKzO1EJEbgCLlVKxlgxDRLRs2TJkzZoVnTt3tvq5Bw4ciGfPnmHRokVWPzcRWca6detQrFgx1K9fX3eU/8iePTuaN2/OQgQRETklUwsRSwG0t2QQIqKYmBisWrUKfn5+yJUrl9XPX716dTRp0gTz5s1DfHy81c9PROb17NkzbN26FX5+fnBxMbktltW0b98ep0+fxtmzZ3VHISIisipT/1ceCaCtiKwTkc9F5JPEmzkDiYiriBwRkU3mPC4R2b6AgADcvn0br732mrYMAwcOxLlz57Bjxw5tGYjIPAIDAxEZGWlz0zIStGvXDgA4KoKIiJyOqYWIAQDaAGgMwB9At0TbK2bONAzAKTMfk4jswPLly5EnTx60bdtWW4YuXbqgcOHCbFpJ5ADWr1+PnDlzokWLFrqjJKtcuXKoXLkyCxFEROR0TC1EfAxglFKqsFKqulKqRqKtprnCiEhJGKaALDDXMYnIPjx9+hRr1qxB165dkSVLFm05smTJgv79+2PTpk24fPmythxElDHx8fHYsGED2rRpg6xZs+qO80Lt2rVDcHAwnjx5ojsKERGR1ZhaiHAFsMGSQYxmAhgLgJOziZzMH3/8gcjISK3TMhIMGDAASinMnz9fdxQiSqcDBw7g+vXrNjstI0G7du3w7NkzBAUF6Y5CRERkNW4m3m8RgF4AJloqiIh0AHBLKXVIRLxTuN87AN4BgCJFiiA4ONhSkSwmMjLSLnMTmSK91/e3336L/PnzA4BN/Hx4eHhgzpw5aNasGTJlyqQ7DtkQ/g63Dz/++CNcXFyQO3dum/5+xcfHI1u2bPjxxx+RM2dO3XF4fZND4/VNjs6ernFRSqV+J5E5AF4DcALAMQAxiW9XSg3NcBCRLwG8ASAWQFYYlgxdo5R6/UWPqVevnjp48GBGT211wcHB8Pb21h2DyCLSc30/ePAARYsWxbvvvouZM2daJFdabdmyBe3atcNvv/2GV199VXccsiH8HW4fqlWrhiJFiiAwMFB3lFT5+/vj8OHDuHjxIkREaxZe3+TIeH2To7O1a1xEDiml6iV3m6lTM14GcATAcwBVANRItFU3R0il1AdKqZJKqTIAegAITKkIQUSOY+3atXj27Bl69uypO8q/fH19UbZsWcydO1d3FCJKo7Nnz+LkyZM2Py0jQbt27XD58mWcPHlSdxQiIiKrMGlqhlKquaWDEJHzWrZsGcqVK4cGDRrojvIvFxcXvPvuuxg3bhxOnDiBatWq6Y5ERCZav349ANhNISJhpaDNmzfzdw0RETkFU0dEWJVSKlgp1UF3DiKyvBs3biAwMBA9e/bUPiQ5qb59+yJz5swcFUFkZ9atW4datWqhTJkyuqOYpGTJkqhZsyb++OMP3VGIiIiswqRChIhkEZERIrJBRMJEZH/izdIhichxrVy5EvHx8TaxWkZShQoVQvfu3fHzzz8jMjJSdxwiMsHt27cREhJiN6MhErRv3x579+7Fw4cPdUchIiKyOFNHRPwI4GMAdwEEAwhIshERpcvy5ctRq1YtVK1aVXeUZA0cOBCPHz/G0qVLdUchIhNs2rQJ8fHxdleIaNeuHeLi4rBjxw7dUYiIiCzO1OU7OwLopJTaZckwRORczp8/j7CwMHz11Ve6o7xQo0aNUKtWLcyZMwfvvPOOzU0fIaL/Wr9+PV566SW4u7vrjpImHh4eyJs3LzZv3oxXXnlFdxwiIiKLMnVExC0AdywZhIicz2+//QYA6NGjh+YkLyYiGDhwII4dO4bQ0FDdcYgoBVFRUdi+fTs6duxod0VDNzc3+Pr6YsuWLYiPj9cdh4g0evDgAfbt24cffvgBQ4YMwSuvvIIjR47ojkVkVqaOiPgQwGQReVMpdd+SgYjIeSxbtgyenp4oXbq07igp6tWrF8aMGYO5c+eicePGuuMQ0Qvs3LkTT58+tbtpGQnatWuHFStW4MiRI6hbt67uOERkYUopRERE4NixYzh+/Pi/25UrV/69T65cueDq6org4GAEBwejevXqGhMTmY+pIyK2A8gG4JaIXBGR84k3C+YjIgf1559/4sSJEzbZpDKpnDlzonfv3li5ciXu3OHgMCJbtW7dOuTJkwfNmjXTHSVd2rRpAxHB5s2bdUchIisYO3Ys3N3d0adPH3z77be4fv06mjVrhq+++gqbNm3CpUuX8PDhQxw8eBBZsmRBq1atcPr0ad2xiczC1ELEzwCqAZgJYBaA75NsRERpsmzZMri6uqJbt266o5ikb9++eP78OTZs2KA7ChElIy4uDps2bUK7du2QOXNm3XHSpXDhwqhfvz4LEURO4KeffsLUqVPx1ltv4a+//kJkZCSOHDmCX375BePGjUP79u1RqlQpiAjKly+PgIAAKKXQokULXLhwQXd8ogwztRDRGkAXpdQYpdRUpdS0xJslAxKR41FKYfny5WjdujUKFSqkO45J6tSpg9KlS2PNmjW6oxBRMkJDQ3H79m27nZaRoF27dggPD+foKyIHtnv3bgwcOBCtW7fG3LlzUblyZbi5pTxjvkqVKtixYweePn2KFi1a/Gf6BpE9MrUQcRnAM0sGISLnERoaikuXLtnFtIwEIgJ/f3/s2LEDjx8/1h2HiJJYv349MmXKhLZt2+qOkiHt2rWDUgpbt27VHYWILODChQvo2rUrypYtixUrVqRagEisZs2a2LZtG+7du4eWLVvixo0bFkxKZFmmFiJGAJgiIhUsGYaInMPy5cuRNWtWdO7cWXeUNOnSpQueP3/OYdNENkYphXXr1qF58+bInTu37jgZUrduXRQqVIi/Z4gc0OPHj9GxY0fExsZi48aNyJcvX5qPUa9ePWzZsgXXrl1Dq1atOHqK7JaphYhVALwB/C0iUSLyKPFmuXhE5GhiY2OxYsUK+Pn5IVeuXLrjpEnjxo1RqFAhTs8gsjGnTp3C2bNn7X5aBgC4uLigbdu22Lp1K+Li4nTHISIziYuLw2uvvYZTp05h1apVqFSpUrqP1bhxY2zcuBHnzp1D69atcf8+FzUk+2NqIWIwgLcB9AMwEMCQJBsRkUkCAgJw+/Zt9OzZU3eUNHN1dUXnzp2xefNmREdH645DREbr168HAHTs2FFzEvNo37497t+/j/DwcN1RiMhMPvzwQ2zatAmzZs1Cq1atMny85s2bY+3atTh58iTatm3LaaNkd0wqRCillqS0WTokETmOTZs2IXv27HY7j9vf3x+RkZHYuXOn7ihEZLR+/XrUq1cPJUuW1B3FLFq3bg1XV1dOzyByEEuWLMGUKVMwcOBAvPfee2Y7bps2bbBy5UocPHgQ7du3R1RUlNmOTWRpLyxEiEiaxkyn9f5E5JyCgoLg5eWFrFmz6o6SLi1atEDu3Lmxdu1a3VGICMD169cRHh7uENMyEuTLlw+NGzfGH3/8oTsKEWVQSEgI3nnnHbRo0QKzZs0y+/E7deqEpUuXYt++fXj//ffNfnwiS0lpRMQZEflIRF749oKIuIhIWxHZAcB85T0ickg3b97EiRMn0KJFC91R0i1Llizo0KED1q9fj9jYWN1xiJzexo0bAcChChGAYfWMo0eP4p9//tEdhYjS6dKlS/D390epUqWwatUqZMqUySLnefXVV9G7d2/89NNPuHfvnkXOQWRuKRUimgCoCeC8iBwUkXkiMkFExonIVyKyAcANAPMArAYwxQp5iciOBQcHAzDMa7Rn/v7+uHv3Lvbu3as7CpHTW79+PcqWLYvq1avrjmJW7dq1AwAu40lkpyIjI9GxY0c8e/YMGzduRP78+S16vhEjRiAqKgo//vijRc9DZC4vLEQopc4opboDKA9gOYCiADoD6AvAC8AlGJpXllVK/aCUird8XCKyZ4GBgcidOzfq1KmjO0qGtGnTBlmzZuXqGUSaPX/+HLt27ULbtm0hIrrjmFWNGjVQsmRJ9okgslMjRozA8ePHsWLFClSpUsXi56tZsyZatmyJ2bNnIyYmxuLnI8qoVJtVKqWuKKWmKaU6K6XclVJVlFJeSqkhSqlNLEAQkamCgoLQtGlTuLm56Y6SITlz5oSvry/Wrl0LpZTuOEROa//+/Xjy5AlatmypO4rZiQjatWuHHTt24Pnz57rjEFEa/PXXX1i4cCGGDRsGX19fq513xIgR+Oeff7Bq1SqrnZMovUxdvpOIKEOuXr2KM2fO2P20jAT+/v64evUqDh48qDsKkdMKDAyEiMDb21t3FIto3bo1Hj9+jCNHjuiOQkRpMGHCBGTPnh0ffPCBVc/btm1bVK5cGTNmzOAbJWTzWIggIqsICgoCALtuVJmYn58fXF1dOT2DSKPAwEC4u7tbfO61Lp6engDAfjREduTIkSNYuXIlRowYgUKFCln13C4uLhg+fDgOHjzI3xtk81iIICKrCAoKQv78+VGzZk3dUcwif/788Pb2xpo1a/iuA5EGUVFRCA0NdZjiZnKKFSuG8uXL8wUFkR35+OOPkS9fPowaNUrL+Xv37o38+fNjxowZWs5PZCoWIojIKgIDA+Ht7Q0XF8f5tdOlSxecPn0ap06d0h2FyOns27cPz58/d8j+EIl5eXlh7969LHgS2YGQkBD88ccfGDduHPLkyaMlQ/bs2fHuu+9i3bp1OHfunJYMRKZwnFcERGSzLly4gEuXLjlMf4gEnTt3BgBOzyDSICAgAG5ubvDy8tIdxaK8vLxw584dnD59WncUIkqBUgoffvghihQpgsGDB2vN8t5778HNzQ3ffvut1hxEKUmxECEi3VK5PauIcNwPEaUoMDAQgOP0h0hQvHhxeHh4YO3atbqjEDmdwMBAeHh4IGfOnLqjWFRCoYXTM4hs286dO7Fr1y6MHz8eOXLk0JqlePHi6NGjB3766Sc8ePBAaxaiF0ltRMTPIrJMRPImvUFEGgGIAOBniWBE5DiCgoJQpEgRvPzyy7qjmF2XLl1w+PBhXLx4UXcUIqfx4MEDHDp0yOGKm8mpXLkyChQowEIEkQ1TSmH8+PEoVaoU3nnnHd1xABiW8nzy5AkWLFigOwpRslIrRNQDUBnACRFpAwAikllEvgGwC0AggFqWjUhE9kwphaCgIHh7e0NEdMcxO39/fwDAunXr9AYhciK7du1CfHy8w/eHAAAR+bdPBBHZpvXr1+PAgQOYMGECsmTJojsOAMDd3R3e3t749ttvERsbqzsO0f9IsRChlDoBoCGAnwCsF5HFAI4AeBVAe6XUQKXUE4unJCK7dfr0aVy7ds1h37msUKECatSowT4RRFYUEBCAbNmyoWHDhrqjWIWXlxfOnj2LGzdu6I5CREnExcXh448/RqVKldC7d2/dcf5j5MiRuHLlCn7//XfdUYj+R6rNKpVSsQA+A7AWQG8ApQD4KKV2WDgbETmAoKAgAHC4RpWJdenSBXv37sXNmzd1RyFyCoGBgfDy8rKZdx4tLaFPxL59+zQnIaKkfvvtNxw/fhwTJ06Em5ub7jj/0b59e1SsWBHTp0/nyjtkc1ItRIhIFQChAJoA6AvgEIC9ItLDwtmIyAEEBgaiZMmSqFChgu4oFuPv7w+lFDZs2KA7CpHDu3nzJk6cOOEU0zIS1KlTB1mzZuX0DCIbExMTgwkTJqBWrVro1i3FHv9auLi4YPjw4di/fz9CQ0N1xyH6j9RWzRgBw1SMcwCqK6WWAGgOYDKAhSKyUkQKWD4mEdmj+Ph4BAcHo3nz5g7ZHyJBzZo1Ua5cOU7PILICR12FJyWZM2dGw4YNWYggsjGLFy/GuXPn8MUXX8DFJdX3d7Xo06cP8uXLh+nTp+uOQvQfqf3EfAigt1Kqp1LqPgAog+kA6gAoA+C4ZSOSbleuXEGvXr3Qs2dPfPrpp1i+fDkOHTqEx48f645GNu7EiRO4ffu2Q0/LAAzN5Lp06YKAgAA8fPhQdxwihxYYGIg8efKgTp06uqNYlZeXF44cOYLIyEjdUYgIQHR0NCZOnAgPDw+0b99ed5wXypEjBwYMGIC1a9fiwoULuuMQ/Su1QkR1pdSq5G5QSv0FoBGA782eimzG1q1b4e7ujvXr1yM8PBwTJ07Ea6+9hnr16iF37twoUaIEWrRogYEDB2LmzJn8BUf/kdAfwhneufT390dMTAz++OMP3VGIHFpAQAC8vb3h6uqqO4pVeXl5IS4uDuHh4bqjEBGAefPm4erVq5g8ebLNj/ocPHgwXFxc8O233+qOQvSv1FbNSLHzmlIqTin1hXkjkS2IjY3F+PHj0bZtWxQvXhyHDh3C+fPnERUVhT///BOrV6/GpEmT0KpVKzx9+hQrVqzAiBEj0LhxY1y9elV3fLIRQUFBKFu2LEqXLq07isV5eHigaNGiWLt2re4oRA7rwoULuHDhglP1h0jQqFEjiAinZxDZgMjISEyePBktW7a0i1GfJUqUQPfu3fHTTz9x5CbZDNuczERaXb9+Ha1atcLkyZPRv39/hIWFoXLlygCArFmzonr16ujatSs+/PBDLFmyBKGhobh79y4OHz6MyMhIdO7cGVFRUZqfBekWFxeH4OBgpxgNARgaQnXu3BmbN2/G06dPdcchckjO2B8iQZ48eVCzZk0WIohswKxZs3D79m1MmjRJdxSTjRgxAo8fP8ZPP/2kOwoRABYiKImAgADUrl0bBw4cwJIlS7BgwQJkz5491ceJCNzd3bFs2TIcPnwYffv25TJBTi4iIgIPHjywi3cKzKVLly6IiorC9u3bdUchckiBgYEoUqQIqlatqjuKFl5eXggNDUVsbKzuKERO68mTJ5g2bRr8/PzQsGFD3XFMVq9ePXh6emLBggW6oxABYCGCjOLi4vDZZ5+hdevWKFCgAPbv34/evXun+Th+fn748ssvsXLlSnzxBWftOLOEdy6dqRDh7e2N3LlzY9OmTbqjEDkcpRQCAwPRokULm5+PbSleXl548uQJjh07pjsKkdNavHgx7t+/j/fff193lDTr3r07Tp06hbNnz+qOQsRCBAG3bt1CmzZt8Omnn+L111/H/v37Ua1atXQfb+zYsXj99dfxySefcDlDJxYUFITKlSujePHiuqNYTaZMmeDr64s//viDI4KIzOzUqVO4ceOGU/aHSODl5QUAnJ5BpElcXBxmzpyJhg0bolGjRrrjpJmfnx8AYOPGjZqTEJlYiBCR8yJSIJn9eUXkvPljkbWcOXMG7u7u2Lt3L3788UcsWbIEOXPmzNAxRQQ//vgjGjZsiDfeeANHjx41T1iyGzExMdi9e7dTjYZI0KFDB1y/fh1HjhzRHYXIoThzf4gEJUuWROnSpVmIINJk48aNOHv2LEaNGmWXI7PKli2L6tWrY8OGDbqjEJk8IqIMgOTWycoCoITZ0pBVPX/+HD169EB0dDTCwsLw1ltvme2XatasWbF27Vrky5cPHTt2xM2bKS7AQg7m0KFDiIyMdMoXDG3btoWIcHoGkZkFBASgbNmyKFu2rO4oWnl5eWHv3r0cdUWkwfTp01G6dGn4+/vrjpJuHTt2xJ49e3D//n3dUcjJpViIEJEuItLF+Gn7hM+NWzcAnwG4aOmQZBkffvghDh8+jJ9++gm1atUy+/GLFSuG9evX486dO+jSpQuePXtm9nOQbQoKCgJg6JngbAoVKoSGDRuyEEFkRs62Ck9KvLy8cP36dVy4cEF3FCKncuDAAezZswfDhw+Hm5ub7jjp5ufnh7i4OGzZskV3FHJyqY2IWG3cFICfEn2+GsCvAJoDGGXJgGQZ27Ztw7Rp0zBw4EB07tzZYuepW7cuFi9ejJCQELz77rt8B8dJBAYGokaNGihUqJDuKFp06NABBw4c4EggIjM5cuQIHjx4wEIE2CeCSJfp06cjd+7c6Nevn+4oGdKgQQMULlyY0zNIuxQLEUopF6WUC4DLAAonfG7csiilKiulzPK2n4i8JCJBInJKRE6IyDBzHJf+182bN9G7d29Uq1YN06ZNs/j5unfvjk8++QSLFy/GjBkzLH4+0uv58+fYt2+fU/aHSNC+fXsAwObNmzUnIXIM7A/x/6pWrYq8efOyEEFkRZcvX8aqVavwzjvvIHfu3LrjZIiLiwv8/PywdetWPH/+XHcccmIm9YhQSpVVSt2xcJZYAKOUUi8D8ADwnog450LhFhQfH48333wTjx49wm+//YZs2bJZ5bwTJkxA165dMWbMGL44c3CnTp3C06dPnfoFQ61atVCiRAlOzyAyk4CAAFStWhVFixbVHUU7FxcXeHp6shBBZEXffvstAGDIkCGak5iHn58fHj58iD179uiOQk7M5OU7RaShiHwoIjNF5NvEmzmCKKWuK6UOGz9+DOAU2AjT7GbOnImtW7di+vTpqF69utXO6+LigiVLlqBmzZro3bs3oqKirHZusq6jR49CRNC0aVPdUbQREXTo0AHbt2/nuw1EGfT8+XPs2bPHqZftTMrLywunTp3CnTuWfo+IiB49eoQff/wR3bt3R6lSpXTHMYtWrVoha9asnJ5BWpnUaUVERgOYAuAsgGsw9IxIYPZJ/yJSBoA7gPBkbnsHwDsAUKRIEQQHB5v79BYXGRmpJffp06cxbtw4eHl5oUqVKloy9OvXD0OHDsVHH32Ejh07Wv38ZHkHDhxAhQoVEBERoTuKVqVKlUJkZCRmz56NunXr6o5DZqTrd7izOnbsGJ4+fYrChQvz626UI0cOAMAPP/wAT09Psx6b1zc5svRc36tWrcKjR4/QrFkzh/rZcHd3x6pVq9C5c2e7XIqUkmdPv8PFlOaBInIFwNdKqe8sHkgkJ4BdACYppdakdN969eqpgwcPWjqS2QUHB1t9NYHIyEjUqVMHUVFRiIiIQIECBax6/gRKKTRs2BAPHz7EqVOn4OJi8qAcsgNRUVHImzcvhg0bhm+++UZ3HK2ioqJQoEABDBgwADNnztQdh8xIx+9wZ/bpp5/i888/x927d5E3b17dcWxCdHQ08uTJg2HDhmHKlClmPTavb3Jkab2+Y2NjUaFCBZQuXRq7du2yXDAN5s+fjwEDBuDPP/+06ihpsixb+x0uIoeUUvWSu83UV4G5AVh8Yr+IZALwO4ClqRUhKG2GDh2Ks2fPYunSpdqKEIBhyPqIESNw+vRp9opwQCEhIYiJiXHqRpUJsmfPjhYtWmDTpk1cLYYoAwIDA1GnTh0WIRLJmjUr6tevzz4RRBa2Zs0aXLp0CaNGOd4igR06dAAATs8gbUwtRCwH0MaSQcQwJugnAKeUUtMteS5ns3z5cixatAjjx49Hs2bNdMfBK6+8gpIlS3IFDQcUFBQEFxcXNGnSRHcUm9C+fXucO3cOp0+f1h2FyC49efIEYWFh7A+RDC8vLxw8eBBPnz7VHYXIISmlMG3aNFSsWPHfF+2OpHjx4qhfvz42btyoOwo5KVMLEVcAfCYiS0VknIiMTLyZKYsngDcAtBCRo8atnZmO7bQuXLiAd999F40aNcKECRN0xwEAZMqUCUOHDkVgYCCOHj2qOw6Z0e7du1GpUiXkypVLdxSbkLCMJ1fPIEqfvXv3IiYmxqlX4XkRLy8vxMTE4MCBA7qjEDmkkJAQ7N+/HyNGjHDYqcQdO3ZEeHg4bty4oTsKOSFTf6reAhAJoDGAdwEMSbQNNkcQpdRepZQopWoqpWobN47dz4CYmBi89tprEBEsW7YMbm4m9Sa1irfffhs5cuTgqAgHEhMTg4MHD3KeYSKlS5dGjRo18Mcff+iOQmSXAgICkClTJnh5eemOYnMaN24MAJyeQWQh06ZNQ/78+dGnTx/dUSzGz88PSin+nUJamFSIUEqVTWErZ+mQlD5fffUVwsLC8MMPP6BMmTK64/xH3rx50a9fPyxfvhzXr1/XHYfMICIiAtHR0ahataruKDalQ4cO2LNnDx48eKA7CpHdCQwMRKNGjZA9e3bdUWxO/vz5Ua1aNRYiiCzg3LlzWLduHQYOHOjQv39q1qyJUqVKsU8EaZHmcUYiUkREHHN8kgM5d+4cJk2ahO7du+PVV1/VHSdZw4YNQ2xsLL7//nvdUcgMwsLCAICFiCTat2+P2NhYbN++XXcUIrty//59HD58mNMyUuDp6YmQkBDExcXpjkLkUGbOnIlMmTLhvffe0x3FokQEHTt2xI4dO9hvhqzOpIKCiGQSkSki8hjAPwDKGPd/LSKDLJiP0kEphcGDByNz5sw2PfWhfPny6Ny5M+bOnYuoqCjdcSiDQkNDUbx4cRQuXFh3FJvi4eGB/Pnzs08EURrt3r0bSimuwpMCLy8vPHz4ECdOnNAdhchh3L9/HwsXLsRrr72GYsWK6Y5jcX5+fnj69CkCAgJ0RyEnY+rIhgkA/AC8DuBZov37Abxp5kyUQWvWrMHWrVvx+eefo3jx4rrjpGjEiBG4d+8efv75Z91RKINCQ0Ph4eEBwwI4lMDV1RXt2rXDli1b+K4lURoEBwcja9asaNiwoe4oNiuhd8a+ffs0JyFyHD/88AOioqIwYsQI3VGsolmzZsiVKxenZ5DVmVqI6AngXaXUegDxifYfB1DJ7Kko3R4/foxhw4ahVq1adjGczMvLC/Xq1cPMmTMRHx+f+gPIJt28eRMXLlxAo0aNdEexSe3bt8edO3ewf/9+3VGI7EZQUBAaN26MLFmy6I5is8qUKYPixYuzTwSRmTx//hyzZ89G69atUbNmTd1xrCJLlixo06YNNm3axL/FyapMLUQUB3Apmf1uxo1sxGeffYZ//vkHc+fOtalVMl5ERDBy5Ej8/fff2LJli+44lE4J/SE8PDw0J7FNvr6+cHV15fQMIhPdu3cPx44d47SMVIgIvLy8WIggMpOlS5fi2rVrGDVqlO4oVuXn54fr16/j0KFDuqOQEzG1EHECQNNk9ncHwCvWRvz555+YOXMm3n77bbt6Z/qVV15ByZIlMX36dN1RKJ3CwsLg5uaGunXr6o5ik/LlywcvLy8uj0Vkol27dkEpBW9vb91RbJ6XlxcuX76My5cv645CZNfi4+MxZcoU1K5dGz4+PrrjWFW7du3g4uLC6RlkVaYWIj4DMFtExgNwBdBNRBYBeB/A55YKR6aLj4/HwIEDkTdvXnz55Ze646RJpkyZMGTIEAQGBuLo0aO641A6hIaGwt3dHdmyZdMdxWa1b98eERERuHLliu4oRDYvODgY2bJlQ4MGDXRHsXmenp4A2CfC2XHFg4zbsGED/vrrL4wbN87p+l0VKFAAXl5e2Lhxo+4o5ERMKkQopTbCMPrBB4YeERMAVATgp5Taabl4ZKolS5Zg3759mDJlCgoUKKA7Tpq9/fbbyJEjB2bOnKk7CqVRbGwsDhw4wGkZqejQoQMAcFQEkQmCgoLg6emJzJkz645i82rWrIls2bIhPDxcdxSysIcPH+LgwYNYvnw5Jk6ciDfeeAMeHh4oUKAAsmfPDj8/P1y6lNxMakqNUgpfffUVypUrh1deeUV3HC06duyIiIgIXkNkNaaOiIBSaptSqplSKqdSKrtSyksptd2S4cg0d+/exZgxY+Dp6Yk333xTd5x0yZcvH/r164dly5bh+vXruuNQGvz555+Iioqyq+lAOlSpUgXlypVjIYIoFXfu3MGff/7J/hAmcnNzQ/369f/t1UOOJSIiAs2bN0fhwoWRN29e1K9fH6+99homTJiAXbt2IUeOHOjWrRtGjx6NoKAgVK1aFdOmTUNsbKzu6HZl9+7dCA8Px+jRo+2ix5ol+Pn5AQBHRZDVmFyISCAiWUUke+LNEsHIdB9++CEePHiAOXPmwMUlzd9SmzFs2DDExsbi+++/1x2F0iA0NBQAG1WmRkTQoUMH7Ny5E1FRUbrjENmsXbt2AQD7Q6SBh4cHjhw5gmfPnqV+Z7Ibf/31F1q3bo2//voLHTt2xNdff401a9b8+wbA5cuXERAQgHnz5uGbb77BiRMn0LJlS4wePRr16tXjKJk0+Prrr1G4cGG7fUPPHCpVqoTKlSuzTwRZjUmvWkWktIisF5FHAJ4AeJxkI03CwsIwf/58DBs2zO6XGSpfvjw6deqEefPm8YWaHQkLC0ORIkVQpkwZ3VFsXvv27REdHY2goCDdUYhsVlBQEHLkyIH69evrjmI3PDw88Pz5cxw5ckR3FDKTCxcuoFWrVhAR7Nq1CwsWLMDYsWPh7++P6tWrJ9uTqXTp0li/fj3WrFmDO3fuoFGjRhg8eDAePnyo4RnYj4iICGzZsgXDhg1z+l5XHTt2RHBwMB49eqQ7CjkBU98+/xWGJTyHAGgPoF2SjTSIjY3FwIEDUaJECXz66ae645jFyJEjcffuXfzyyy+6o5CJQkND0ahRI6dr7JQezZo1Q44cOTg9gygFwcHB8PLyQqZMmXRHsRsNGzYEAE7PcBDXrl1Dq1atEBUVhR07dqBSpUomP1ZE4O/vj5MnT2LIkCGYM2cOqlatitWrV0MpZcHU9mvKlCnImTMnBg4cqDuKdn5+foiJicG2bdt0RyEnYGohwh1Ab6XUEqXUVmO/iH83SwakF5szZw6OHj2KmTNnIleuXLrjmIWXlxfq1q2LGTNmID4+XnccSsWdO3dw9uxZTsswUZYsWeDj44NNmzbxD0KiZNy6dQsnTpzgtIw0Kl68OEqVKsVChAO4ffs2WrVqhVu3bmHr1q3pHu2aO3duzJo1C+Hh4ShSpAi6desGPz8/rtyUxIULF/Dbb7/h3XffRb58+XTH0a5Ro0YoUKAAp2eQVZhaiIgAUMiSQShtrl+/jo8++gi+vr7o2rWr7jhmIyIYNmwY/v77by5FZgcS/uhlo0rTtW/fHleuXMGff/6pOwqRzUnoD8FGlWnn4eHBQoSde/DgAXx9fXHhwgVs2rTJLMvX1q9fH/v378f06dMRHByMZs2a4caNG2ZI6ximTZsGV1dXDB8+XHcUm+Dm5ob27dtj8+bNiIuL0x2HHJyphYh3AEwQkU4iUl5ESiXeLBmQkjd8+HA8f/4c3333ncMNie/cuTOyZMmCNWvW6I5CqQgLC4Orqyvq1q2rO4rdaNfOMJtt06ZNmpMQ2Z6goCDkzJkTderU0R3F7nh4eODSpUt8kWmnnjx5gvbt2+P48eNYs2YNmjVrZrZju7m5YcSIEQgODsbNmzfRvn17PH7MFm+3bt3CTz/9hN69e6NEiRK649gMX19f3Lt3D8eOHdMdhRycqYUIFwCFAawFcBrABeN20fgvWdGaNWuwcuVKfPzxx6hQoYLuOGaXK1cu+Pj4YM2aNRy+buNCQ0NRq1Yt5MiRQ3cUu1GsWDHUr18f69ev1x2FyOYEBwejSZMm7A+RDglT5LhSgv2Jjo5Gp06dEBYWhuXLl6Nt27YWOU+9evWwatUqREREoFu3boiJibHIeezF7Nmz8ezZM4wZM0Z3FJuSUAQLDg7WG4QcnqmFiCUAbgPwA9AQQAPjVt/4L1nJ3bt3MXDgQLi7u2Ps2LG641hMly5dcPnyZRw6dEh3FHqBuLg47N+/n/0h0sHf3x/79+/HP//8ozsKkc24ceMGTp06xf4Q6eTu7o5MmTJxeoadiYmJQffu3REQEICFCxdafLptu3btMH/+fGzbtg1vv/22077h8/jxY3z33Xfw9/dH5cqVdcexKSVKlEDFihW5whdZnKmFiCoA3lVK/aGUOqiUOpR4s2RA+q9hw4bh3r17WLRokUO/Y9SxY0e4urpyeoYNO3HiBCIjI9kfIh38/f0BAOvWrdMbhMiGJLz7xv4Q6ZM1a1a4u7uzEGFH4uLi0Lt3b2zcuBHff/89+vTpY5Xz9uvXD59++imWLFmCjz/+2CrntDU//vgjHjx4gHHjxumOYpO8vb2xe/du9okgizK1ELEfQFlLBqHUbdy4EUuXLsX48eNRq1Yt3XEsKn/+/GjevDl+//13p63W27rQ0FAAbFSZHlWqVEHlypWxdu1a3VGIbEZwcDBy584Nd3d33VHsloeHBw4cOIDY2FjdUcgEkyZNwm+//YavvvoKgwYNsuq5P/nkE7z11luYNGkS5s2bZ9Vz6/b8+XNMnz4dzZs3N0tDUEfk7e2Nhw8fIiIiQncUcmCmFiLmApgpIm+JSEMRqZN4s2RAMrh//z4GDBiAmjVr4sMPP9Qdxyq6du2K06dP48SJE7qjUDLCwsJQsGBBlCtXTncUu+Tv74/g4GDcu3dPdxQimxAUFIQmTZrAzc1NdxS75eHhgSdPnvD/TTtw+/ZtfPPNN+jatauWd+VFBHPnzkX79u3x3nvvOVXfoqVLl+Kff/7haIgUsE8EWYOphYjlACoDmA8gFMDBRNsBy0SjxEaOHIlbt25h0aJFyJw5s+44VtG5c2eICKdn2KjQ0FA0atTI4VZtsRZ/f3/ExcVx9QwiANeuXcPp06c5LSODEnr2cHqG7ZsyZQqioqLw+eefa8vg5uaGFStWoG7duujZs+e/Ix0dWXx8PL7++mvUrl0bPj4+uuPYrIQ+ESxEkCWZWogom8LGt0MtbMuWLVi8eDHGjRvnVEuaFS1aFJ6envj99991R6Ek7t27h7///puNKjOgXr16KFGiBKdnEOH/33Vjo8qMKVOmDAoXLsxChI27fv06vvvuO/Tq1Qsvv/yy1iw5cuTApk2bULx4cfj5+eH06dNa81haSEgI/v77b4wbN45vpKSCfSLI0kwqRCilLqW0WTqkM3v48CHeeecdVK1aFZ988onuOFbXpUsXHDt2DGfPntUdhRJJWB6O/SHSz8XFBZ07d8a2bdsQFRWlOw6RVsHBwciTJw9q166tO4pdExE0bNiQhQgbN3nyZMTExGDChAm6owAAChcujK1bt8LFxQVt2rTBjRs3dEeyCKUUli1bhrJly+KVV17RHcfmsU8EWZqpIyIgIm1FZJOInBSRl4z73hKRlpaLR2PGjMG1a9ewaNEiZMmSRXccq+vSpQsAcHqGjQkNDYWLiwvq16+vO4pd8/f3x9OnT7Ft2zbdUYi0CgoKQtOmTeHq6qo7it3z8PDAX3/9hfv37+uOQsm4dOkSfvjhB/Tr1w/ly5fXHedfFSpUwKZNm3Dz5k34+fkhOjpadySzCwgIwKlTpzBmzBj2ojEB+0SQpZlUiBCRXgBWAjgDw3SMhHUjXQGMtUw02rlzJ3788UeMHj3aabv6li5dGnXr1mUhwsaEhYWhRo0ayJkzp+4odq1p06bIly8fp2eQU7t69SrOnj3L/hBmkjBlbv/+/ZqTUHK++OILiIhNLpvZoEEDLFu2DAcPHsR7773nUKuWxcTEYNiwYShevDj69u2rO45dYJ8IsjRTR0SMBfC2UmoEgMRrQoUBqG3uUAQ8fvwYb731FipXrozPPvtMdxytunbtivDwcFy9elV3FIKh0VN4eDinZZhBpkyZ4Ofnh40bNyImJkZ3HCIt2B/CvOrXrw8R4fQMG3T27FksWrQI7777Ll566SXdcZLVqVMnjB8/HgsXLsSCBQt0xzGb77//HidPnsSgQYOQNWtW3XHsBvtEkCWZWoioCMNqGUlFAshtvjiU4P3338fly5excOFCp/+F2bVrVwDgu8Y24tSpU3j06BEbVZqJv78/Hjx4gF27dumOQqRFUFAQ8uXLh1q1aumO4hBy5cqF6tWrsxBhgz777DNkzpwZH3zwge4oKfrss8/g4+ODwYMHO8TImps3b2LChAlo06YNGjdurDuOXWGfCLIkUwsR1wBUSmZ/UwDnzBeHAMMfZXPmzMHw4cP5CxNApUqVUK1aNa6eYSMSlvfiiAjz8PHxQbZs2VhoI6cVHByMZs2awcXF5LZVlAoPDw+Eh4cjPj5edxQyOnnyJJYuXYohQ4agaNGiuuOkyNXVFcuWLUOxYsXwyiuv4Pbt27ojZcj777+Pp0+fYtasWVwpI40SRqpxegZZgqn/688H8K2IeBo/f0lE+gCYAmCuRZI5qWvXrqFv376oUKECvvjiC91xbEbXrl2xZ88e3Lp1S3cUpxcWFob8+fOjYsWKuqM4hOzZs6NNmzZYt24dXzSQ07l8+TLOnz/PaRlm5uHhgfv37+PMmTO6o5DRhAkTkDNnTowdax+t1QoUKIDff/8dt27dQs+ePREbG5v6g2xQaGgoFi9ejJEjR6JSpeTeU6WUFC9eHJUqVWIhgizC1OU7pwBYA2AHgBwAggDMAzBPKfW95eI5lzt37qB169a4e/culi9fjuzZs+uOZDO6dOmC+Ph4rF+/XncUpxcaGgoPDw++q2BG/v7+uHbtGg4ePKg7CpFVJfxxy0aV5pUwdY7TM2zDkSNHsHr1aowYMQIFChTQHcdkdevWxZw5cxAQEGCTzTVTExcXhyFDhqB48eL46KOPdMexW+wToZ9SCgMGDEBQUJDuKGZl8jhIpdR4AAUBNADgAaCQUsr+fivZqIcPH6JNmzY4f/48Nm3ahHr16umOZFNq1qyJ8uXLc3qGZg8ePMDJkyc5LcPMOnToADc3N07PIKcTFBSEAgUKoHr16rqjOJQqVaogd+7cLETYiE8++QT58uXDiBEjdEdJs379+uGdd97BV199ZXf/Ry1cuBCHDh3C1KlTucpXBiT0iTh69KjuKE7rzJkzmD9/Ps6ePas7ilmZunxnUREpqZSKUkodVErtV0pFikhJESli6ZCOLioqCh06dEBERAR+//33f9ftpf8nIujSpQsCAgLw4MED3XGcVkLTKjaqNK98+fLB29vb7v7II8oo9oewDBcXFzRs2BDh4eG6ozi9sLAwbNq0CWPGjEHevHl1x0mXb7/9FvXr10efPn3w999/645jknv37uGDDz5A06ZN0aNHD91x7FrC6xJOz9AnoT+bo/UONPV//l8AtE1mv6/xNkqnZ8+ewd/fHyEhIVi2bBnatWunO5LN6tq1K2JjY7Fx40bdUZxWaGgoRAQNGjTQHcXh+Pv74++//8apU6d0RyGyiosXL+LixYvsD2EhHh4eOHbsGJ48eaI7ilP7+OOPUahQIQwZMkR3lHTLkiULVq9ejSxZsqBLly6IjIzUHSlVn3zyCe7fv49vv/2WU0kziH0i9AsJCUGePHnw8ssv645iVqYWIuoD2J3M/j0AOIcgnWJjY/Haa69h+/bt+PHHH9GtWzfdkWxa/fr1UaJECaxZs0Z3FKcVFhaGatWqIXdurtprbp06dQLAZWrJebA/hGV5eHggLi4Ohw4d0h3FaQUHB2Pnzp344IMP7H5qQKlSpfDbb7/hr7/+Qv/+/aGU0h3phSIiIjB37lwMGjSIywKbCftE6BUSEgIPDw+HGz1o6rNxA5Almf1ZX7CfUhEfH4/+/ftjzZo1mDlzJvr166c7ks1zcXFBly5dsHXrVruoxjua+Ph4hIWFsT+EhZQoUQINGzZkIYKcRlBQEAoWLIhq1arpjuKQGjZsCIANK3VRSuHjjz9G8eLF8e677+qOYxYtW7bE5MmTsXLlSsyYMUN3nGQppTBkyBDkz58fEydO1B3HYXh7e+PRo0fsE6HBw4cPceLECYeblgGYXogIBzAwmf3vAThgvjjOQSmFoUOH4ueff8bEiRMxbNgw3ZHsRpcuXRAdHY2tW7fqjuJ0Tp8+jQcPHrA/hAX5+/vj4MGDuHLliu4oRBallEJQUBC8vb05bNpCChQogIoVK7IQocn27duxd+9efPTRR8iWLZvuOGYzduxY+Pv7Y+zYsTa5ktny5cuxZ88eTJ48Gfny5dMdx2GwT4Q+4eHhUEo5dSFiPIA+IhIiIp8bt30A3gDwoeXiOaYFCxbg+++/x+jRo7mcUBo1adIEhQoV4uoZGiQ0yuGICMvx9/cHAKxbt05vECILO3/+PK5cucJpGRbm4eGB0NBQmx5G76gmTZqE0qVLo3///rqjmJWIYMmSJahXrx66d++OgIAA3ZH+9fjxY4wePRr16tXjSGMzY58IfUJCQhy2P5tJhQilVBiARgDOA+gCoCuACwAaKaVCLBfP8Xz11VdYtmwZ3nnnHUyZMoXvBKWRq6srOnXqhE2bNiE6Olp3HKcSGhqKvHnzonLlyrqjOKxKlSrh5Zdf5vQMM4uMjMTt27d1x6BEduzYAQBo0aKF5iSOzcPDAzdu3OAoKys7ffo09uzZg0GDBiFz5sy645hdrly5sHnzZlSqVAmdOnX6940K3b744gtcv34d3333HVxdXXXHcTjsE6FHaGgoatSo4ZD92UzueKGUilBKva6UqqaUqmr8OMKS4RzN/v378cEHH6BFixaYM2cOixDp1LVrV0RGRmLnzp26oziVsLAwNGzY0OEa5dgaf39/7N69G3fv3tUdxe5dunQJo0aNQvHixVG4cGE0bNgQkydPxokTJ/gOsWbbtm1D6dKlWdi0sISpdJyeYV2LFy+Gq6sr3njjDd1RLCZ//vzYvn07ihYtinbt2uHYsWNa8/z999+YMWMG3nzzzX/7o5B5sU+E9SX0Z3PEaRlAGgoRCUSkqIiUSryZK4yItBGRv0XkrIi8b67j2ooGDRpg9erV+OCDD1ipzYAWLVogT548nJ5hRY8fP8bx48fZH8IK/P39ERcXx2VqMyA8PByvvvoqypcvj1mzZqFDhw6YOHEilFIYP348qlevjooVK2LUqFHYvXs3YmNjdUd2KjExMQgICICvry8L8hZWo0YNZMuWjYUIK4qLi8OSJUvQpk0bFCtWTHcciypWrBh27tyJHDlywMfHB2fOnNGS4+rVq2jfvj1y5MiBr776SksGZ5Cw1DKnZ1jPyZMn8ejRI4edFm1SIUJE8ojIEhF5CuAfGKZlJN4yTERcAXwPoC2AqgB6ikhVcxzblnTt2hVubm66Y9i1zJkzw8/PDxs2bEBMTIzuOE7hwIEDUEqxEGEFdevWxUsvvcTpGWkUFxeHNWvWwMvLCx4eHti2bRtGjhyJCxcuYNmyZfj444+xf/9+/PPPP5g3bx4qVaqE7777Ds2aNUPRokXRp08fNsG1ktDQUDx+/Bht2rTRHcXhZcqUCXXr1mUhwoq2b9+Oa9euoW/fvrqjWEWZMmWwc+dOxMXFoVWrVlafBnTlyhV4e3vj9u3b2LJlC4oUKWLV8zuTYsWKoXLlyixEWFFIiKEDgrOPiJgKoBaAzgCiAbwGYAyAqwBeNVOWBgDOKqXOK6WeA/gNQCczHZscTNeuXXHv3j3s2rVLdxSnEB4eDgAO2SjH1ogIOnfujO3bt+PJkye649i8yMhIfPvtt6hYsSK6du2Ka9euYdasWbhy5QqmTJmCl1566T/3L168OAYMGIDNmzfjzp07WLVqFdq2bYuNGzeibdu2mDVrlqZn4jy2bdsGV1dX9oewEg8PDxw+fBjPnj3THcUpLFq0CAUKFICfn5/uKFZTpUoVbNu2DQ8ePECrVq1w69Ytq5z38uXL/xYhtm/fzjdLrIB9IqwrJCQEhQoVQvny5XVHsQhT35pvC6CnUmqPiMQBOKSUWiEi1wEMALDaDFlKAEhcRr0K4H8meYnIOwDeAYAiRYrYZVUuMjLSLnPbkqxZsyJTpkyYP38+R5hYwaZNm/DSSy+ZNAeU13fGlS1bFtHR0Zg6deq/S2bR/7px4waGDx+Omzdvonr16vjss8/g6ekJV1dXHDp0yKRjFCxYEP3790efPn0wceJEDB8+/N9hvi/CazxjVq1ahWrVquHIkSO6oziFnDlz4tmzZ1i4cCFefvnlVO/P6zv9Hj16hHXr1sHPz+/fdzKdyRdffIExY8bA09MTM2bMQM6cOS12rhs3bmDkyJF49OgRvvnmGzx9+tSk65bXd8YULlwYjx49woIFC9jjxwoCAwNRsWLFNL3xalfXuFIq1Q1AJIBSxo+vAGho/LgMgCemHMOEc3QDsCDR528AmJ3SY+rWravsUVBQkO4IDqFVq1aqWrVqumM4vPj4eFWkSBHVu3dvk+7P6zvjYmJiVIECBVSvXr10R7FZ165dU+XLl1d58+ZVwcHBZjlmdHS0atOmjRIRtXz58hfej9d4+t28eVMBUF988YXuKE7j6tWrCoCaNWuWSffn9Z1+s2fPVgDUkSNHdEfRZsuWLSpTpkyqcePGKjIy0iLnuHDhgipTpozKkyeP2r9/f5oey+s7Y65du6YAqG+++UZ3FId3+/ZtBUB99dVXaXqcrV3jAA6qF7yWN3VqxjkA5YwfnwLQQwwdproAuJexUsi/rgJIPIa2JIBrZjo2OSBfX1+cOHECV69e1R3FoV26dAk3b97kkEcrcnNzQ+fOnbFu3To8fvxYdxybc+fOHbRq1Qo3btzAli1bzDZqJEuWLPj999/RpEkTvPHGG9iwYYNZjkv/L2HZTl9fX81JnEeJEiVQsmRJ9omwgkWLFqF27dqoXbu27ijatGnTBsuWLUNYWBj8/f0RGRlp1uNfvHgR3t7eePDgAXbu3In69eub9fiUMvaJsJ6EZXEdtT8EYHqPiMUAaho//gqG6RjPAXwD4GszZTkAoKKIlBWRzAB6AOBfgfRCCX/Ibt++XXMSx5bwxyuXw7Ku/v3748mTJ1ixYoXuKDbl4cOHaNOmDc6fP4+NGzeavUCWPXt2bNy4Ee7u7ujWrRuXCTazrVu3omDBgqhTp47uKE7Fw8ODhQgLO3bsGA4fPuw0TSpT8sorr2DBggXYsWMHKlSogDlz5pilufiFCxfQrFkzPHr0CDt37kS9evXMkJbSytvbG3v27OGKUxYWGhoKNzc3h77OTSpEKKVmKKW+NX4cCKAKDE0qayulvjNHEKVULIDBALbBMOpipVLqhDmOTY6pevXqKFasGLZt26Y7ikMLDw9HtmzZUKNGDd1RnIqHhweqVauGH3/8UXcUm/HkyRN06NABERERWL16NZo3b26R8+TOnRtbt25F5cqV0alTJ+zbt88i53E28fHx2L59O3x8fODikubVwykDPDw8cOHCBas1EXRGixYtQqZMmfDaa6/pjmIT+vbti5CQEFSqVAnvvfceqlatihUrViA+Pj5dxzt//jy8vb3x+PFj7Ny5E3Xr1jVzYjKVt7c3Hj16hKNHj+qO4tBCQkLg7u6ObNmy6Y5iMen6S0ApdVkptUYp9ac5wyilNiulKimlyiulJpnz2OR4RAQ+Pj7YsWMHu/daUFhYGOrWrYtMmTLpjuJURARvvfUW9u/fb1KTUEf37Nkz+Pv7IyQkBMuWLUuxmaQ55M+fHzt27EDJkiXRrl07k5tf0otFRETg1q1bnJahQcLIoYQVkMi8nj9/jl9//RUdO3ZEwYIFdcexGY0aNcKuXbuwadMmZM2aFT169ECDBg0QEBBg8jGUUoiIiIC3tzciIyMREBDAEVWaJUyH5PQMy4mJicH+/fsdeloGkEIhQkRGmrpZMzBRYr6+vrh//z4OHjyoO4pDevbsGY4cOcL+EJq88cYbyJw5MxYsWKA7ilYxMTHo0aMHduzYgZ9++gndunWzynmLFCmCnTt3Il++fP/2pKH027p1KwDAx8dHcxLnU6dOHbi5uTnlSg7W8Mcff+DOnTvo16+f7ig2R0TQvn17HD16FEuWLMHt27fRqlUr+Pj44PDhw/+5b3x8PM6cOYMVK1Zg7NixaNmyJfLnz4/atWvjyZMnCAgIgLu7u6ZnQgnYJ8Lyjh07hqdPn6JRo0a6o1hUSuseDjHxGArAdDNkIUqz1q1bQ0Swbds29jCwgIiICDx79oyFCE0KFCiALl264JdffsHXX3/t0MPzXiQ+Ph59+/bFunXrMHv2bLz55ptWPf9LL72EgIAANGnSBK1bt8bu3buten5Hsm3bNtSuXRtFixbVHcXpZMuWDXXq1GEhwkIWLVqEYsWKsciWAldXV/Tu3Rvdu3fH3Llz8cUXX6Bu3bro0aMHihcvjkOHDuHIkSN49OgRACBz5syoUaMGunfvjjp16qBdu3Z46aWXUjkLWYu3tzeWL1+O2NhYuLml9HKS0iPhd7XTjohQSpU1cSv3omMQWVrBggVRt25d9omwEDaq1O/tt9/GgwcPsGbNGt1RrE4phUGDBmHp0qWYPHkyBg8erCVH+fLlsXPnTjx//hwtW7bEvXvmWizKeTx+/Bj79u3jtAyNPD09sX//fjx//lx3FIdy48YNbN68Gb179+YLMhNkzZoVI0aMwPnz5zF+/HisX78ec+bMQXR0NHr16oUFCxbg8OHDePz4MQ4ePIgffvgBAwYMYBHCxrBPhGWFhISgZMmSDn/ds1sU2T1fX1+Eh4fjwYMHuqM4nPDw8H+XfiM9vL29Ua5cOadrWqmUwpgxY/DDDz/ggw8+wAcffKA1T9WqVbF9+3bcvHkT33//vdYs9igwMBCxsbFo06aN7ihOy9PTE9HR0Thy5IjuKA7l119/RVxcHFfLSKM8efLgiy++wN27d/Ho0SOEhYVhzpw56N+/P9zd3ZE5c2bdESkFTZo0AQDs2bNHcxLHFBoa6vDTMoA0FCJEpLOI7BaRO8Ztj4j4WzIckSl8fX0RFxeHwMBA3VEcTlhYGEdDaObi4oK33noLu3btwunTp3XHsZpff/0V06ZNw+DBgzFpkm30Lq5Tpw4++OADBAYGclnPNNq2bRty5szp8MNMbZmnpycAcBUYM1JKYdGiRWjUqBEqV66sO45dypYtG5th26ESJUqgbNmy2Lt3r+4oDufatWu4dOmSU/x/aVIhQkRGAVgB4G8AY43bXwCWichoy8UjSp2Hhwdy5crF6Rlmdvv2bZw/f579IWzAm2++CVdXV/z000+6o1jF2bNnMWjQIDRp0gQzZ86EiOiO9K9x48ahRIkSeO+99/Ds2TPdceyCUgpbt25F8+bN+S6nRkWLFkW5cuVYiDCjAwcO4OTJkxwNQU6pSZMm2LNnD5RSuqM4lNDQUACO3x8CMH1ExGgAg5VSbyulFhq3twEMBTDKcvGIUpcpUya0bNkS27Zt4y9DM0pY5o2FCP2KFSuGDh06YPHixYiJidEdx6JiYmLw2muvwc3NDb/++itcXV11R/qPrFmzYvjw4Th9+jSmTJmiO45dOHv2LC5cuMBpGTbA09MT+/bt4/+VZrJo0SJky5YNr776qu4oRFbn5eWF27dv48yZM7qjOJSQkBBkzZoVtWvX1h3F4kwtROQEEJTM/iDjbURa+fr64tKlS041dN3SwsLC4Orqirp16+qOQjA0rbx16xY2btyoO4pFffLJJzhw4AAWLFiAUqVK6Y6TrHr16uHVV1/FpEmTcPbsWd1xbF7CaDU2qtTP09MTN2/exPnz53VHsXtPnz7F8uXL0bVrV+TOnVt3HCKrY58IywgJCUG9evWcYgShqYWIdQBeSWZ/VwAbzJaGKJ0S/sDl9AzzCQ8PR82aNZE9e3bdUQiGa7xEiRIO3bQyMDAQX3/9Nd5++2107dpVd5wUTZ8+HZkzZ8bgwYP57nIqtm7divLly6N8+fK6ozg99okwn7Vr1+Lhw4eclkFOq3LlyihYsCD7RJhRdHQ0Dh8+7BTTMgDTCxFnAbwvIttE5FPjthXABwD+FpGRCZvlohK9WNmyZVGxYkUWIswkPj4e+/fv57QMG+Lm5oZ+/fph27ZtuHz5su44Znfnzh288cYbqFy5MmbMmKE7TqqKFy+OL774Atu2bcPq1at1x7FZz549Q1BQEKdl2IiqVasib968LESYwaJFi1CmTBl4e3vrjkKkhYjAy8uLIyLM6PDhw3j+/LlTrJgBmF6IeBPAfQCVAPQxbpWN+/oCGGLc9CzyTgTDO8bBwcFsIGcGf/31Fx49esQVM2xMv379AAALFy7UnMS8lFJ46623cOfOHSxbtgw5cuTQHckkgwYNgru7O4YPH45Hjx7pjmOT9u3bh6ioKE7LsBEuLi5o1KgRCxEZdPnyZQQEBKBPnz5wcTF5AToih9OkSROcO3cO169f1x3FIYSEhAAACxGJKaXKmriVs3Rgohfx9fVFVFQUh4iZQVhYGAA2qrQ1ZcqUQevWrbFw4ULExcXpjmM28+bNw/r16/HVV1/B3d1ddxyTubm5Yd68ebh+/TomTJigO45N2rp1KzJlyoTmzZvrjkJGnp6eOHHiBO7fv687it1asmQJlFLo06eP7ihEWnl5eQEA//Y2k9DQUJQvXx5FihTRHcUq0l3GFZEKIpLVnGGIMsLb2xuZMmXi9AwzCAsLQ968eVGxYkXdUSiJt99+G1euXMH27dt1RzGL48ePY+TIkWjTpg2GDRumO06aNWjQAAMGDMC3336Lo0eP6o5jc7Zt2wYvLy/kzMm+1rYioU9EwhJxlDZKKSxevBjNmzdH2bJldcch0srd3R3Zs2dnIcIMlFIICQlxmtEQgImFCBGZLCJ9jB+LiOwEcBrAdRHhW6ZkE3LmzAlPT08WIswgPDwcDRs25JBTG9SxY0cUKlQICxYs0B0lw54+fYqePXsid+7cWLx4sd1eb5MnT0bBggUxcOBAxMfH645jM65du4Zjx45xWoaNadCgAdzc3Dg9I50OHjyI8+fP44033tAdhUi7TJkywcPDg30izODixYu4ceOG0zSqBEwfEdELwN/Gj9sCqAXAA8DPAL60QC6idPH19cWxY8c4Vy0DIiMjcfz4cU7LsFGZM2dGnz59sGHDBty8eVN3nAwZO3Ysjh8/jiVLltj1MMR8+fJh6tSpCAsLc4gCkbkkjNpho0rbkj17dri7u7MQkU6rVq1CpkyZ0LlzZ91RiGxCkyZNEBERwV5JGZQwSo2FiP9VBMBV48ftAKxUSu0HMBuA/UzoJYeX8M6bowxb1+HgwYOIj49no0ob9tZbbyE2NhaLFy/WHSXdNm3ahO+++w4jRoxwiBeqr7/+Ory9vfH+++/j1q1buuPYhG3btqFo0aKoWbOm7iiUhKenJ/bv34+YmBjdUeyKUgqrVq1Cq1atkC9fPt1xiGyCl5cX4uPjOd0rg0JCQpAzZ05Ur15ddxSrMbUQcRdAaePHPgACjR+7ARBzhyJKr1q1aqFw4cIsRGRAQqPKBg0aaE5CL1K5cmU0adIECxYsgFJKd5w0u379Ovr27YvatWvjyy8dY1CdiGDOnDmIjIzE2LFjdcfRLi4uDjt27ICPjw9E+GeCrfH09MTTp09x5MgR3VHsyqFDh3Dx4kV069ZNdxQim+Hh4QFXV1dOz8igkJAQNGzYEK6urrqjWI2phYjfASwTkR0A8gPYatxfG8BZC+QiShcXFxf4+Phg+/btnKudTmFhYahYsSIKFCigOwql4O2338bZs2exa9cu3VHSJC4uDq+//jqioqKwfPlyZMmSRXcks3n55ZcxevRoLFmyBLt379YdR6tDhw7h7t27DjHaxRElNKzk9Iy0WblyJdzc3NCpUyfdUYhsRs6cOeHu7s6GlRkQGRmJY8eOOdW0DMD0QsRIAN8COAmgtVLqiXF/MQBzLRGMKL18fX1x584dvtOTDkophIeHsz+EHejatSvy5Mljdz0Jvv76awQGBmL27NmoUqWK7jhm99FHH+Gll17CmDFj7HK0irls27YNIoLWrVvrjkLJKFasGMqWLctCRBoknpaRP39+3XGIbEqTJk0QHh6OZ8+e6Y5ilw4cOIC4uDinWjEDMLEQoZSKVUpNU0oNU0odSbR/hlLKvv4KJofn4+MDAFw9Ix0uX76MGzdusBBhB7Jnz47XX38dq1evxuXLl3XHMUlISAg++eQT9OjRA3379tUdxyKyZ8+OCRMmYP/+/diwYYPuONps27YNdevWRcGCBXVHoRfw9PTEvn37nLpglhaclkH0Yl5eXoiOjsbhw4d1R7FLISEhAOB0f3+/sBAhInVExCXRxy/crBeXKHWFCxeGu7s7CxHpEB4eDgBsVGknxowZAxcXF4waNUp3lFTdv38fr732GkqVKoV58+Y5dN+APn36oGLFivjoo4+ccorYgwcPEBYWxmkZNs7T0xM3btzAhQsXdEexC6tWrYKbmxtXyyBKhpeXFwCwT0Q6hYaGomrVqk7XBDelEREHARRM9PEB479JtwOWDEiUHr6+vggJCeFSQmkUFhaGrFmzssu9nShdujTGjx+P1atX23SDVqUU3n77bfzzzz/47bffkCdPHt2RLMrNzQ2ff/45jh8/jt9++013HKsLCAhAXFzcv6sYkW1inwjTcVoGUcoKFy6MSpUqsU9EOiilEBoa6nTTMoCUCxFlAdxO9HE5479Jt3KWDEiUHr6+voiNjUVQUJDuKHYlLCwMdevWRaZMmXRHIRONHj0aFSpUwODBg212bub8+fPx+++/Y/LkyU6zGku3bt1Qq1YtfPLJJ063ROLKlStRsGBBjqyycdWqVUOePHlYiDDB4cOHceHCBU7LIEpBkyZNsHfvXqccCZgRp0+fxr1795yuUSWQQiFCKXVJGScOGj9+4Wa9uESmady4MXLmzMnpGWnw/PlzHD582Onmp9m7LFmyYPbs2Thz5gymTZumO87/OH78OIYPHw5fX1+7mEJiLi4uLpg0aRLOnTuHRYsW6Y5jNY8ePcKGDRvw6quvsqBp41xcXNCoUSMWIkzAaRlEqfPy8sL9+/dx6tQp3VHsSsLvYBYiXkBEyonISBH5TkRmi8gIEeFICLJZmTNnRvPmzVmISIOIiAg8e/aMhQg71KZNG3Tp0gVffPEFLl2yndpwVFQUXn31VeTJkwdLliyBi4upCzU5hnbt2qFRo0aYOHEioqOjdcexijVr1iA6Ohqvv/667ihkAk9PT5w4cQIPHjzQHcVmKaWwcuVKtGzZktMyiFLQpEkTAOwTkVZ79+5FgQIFULlyZd1RrC7VvwpFZBSAvwB8A6ArgG4ApgL4S0RGWDYeUfr5+vri/PnzOHv2rO4odoGNKu3bjBkzICIYMcJ2fi2PGDECJ0+exC+//IIiRYrojmN1IoLJkyfjn3/+wdy5zrHS9dKlS1G+fHn+HrETnp6e/85PpuRxWgaRacqVK4dixYqxT0Qa7du3D56eng7dxPtFUixEiIgngCkwFCEKKaWKKaWKAigMYBqAb4z3IbI5XMYzbcLCwlC8eHGULFlSdxRKh1KlSuHjjz/G2rVrsWXLFt1xsGrVKsyfPx/jxo1D69atdcfRxtvbG61bt8bkyZPx+PFj3XEs6tq1awgICECvXr2c8g8qe9SgQQO4urpyekYKVq1aBVdXV07LIEqFiMDLy4sjItLg1q1bOH369L+rjjib1EZEDALws1JqvFLqXsJOpdRdpdQHAH413ofI5lSoUAFly5ZlIcJEYWFh8PDw4AsIOzZy5EhUrlwZQ4YM0ToV4OLFi3j77bfRsGFDfP7559py2IpJkybhzp07mDlzpu4oFvXbb79BKYVevXrpjkImypEjB9zd3VmIeIGE1TJatmyJAgUK6I5DZPOaNGmCy5cv4/Lly7qj2IWQkBAA/7+KkbNJrRDhAWBxCrcvNt6HyOaICHx9fREcHOx0XevT6s6dOzh37hyHU9u5zJkzY/bs2Th37hymTp2qJUNMTAx69uwJpRSWL1/OhoUA6tevD39/f0ydOhV3797VHcdifv31V9SvXx+VKlXSHYXSwNPTE+Hh4fx/MhlHjhzB+fPn0b17d91RiOxCwjv7nJ5hmr179yJLliyoW7eu7ihapFaIKArgfAq3nwNQzHxxiMyrdevWePz48b/9Dyh5CV8fNqq0f61bt0a3bt0wadIkXLx40arnjo+Px5AhQxAWFoYff/wRZcuWter5bdnnn3+Ox48fY8qUKbqjWMSpU6dw5MgRjoawQ56ennj69CmOHj2qO4rN4bQMorSpWbMmcuXKxekZJtq7dy/q16+PLFmy6I6iRWqFiGwAUlqY/jkA5/zKkV1o0aIFXFxcsH37dt1RbFp4eDhcXV2dtiLraKZPnw5XV1cMGzbMaueMj4/HgAED8MMPP2DcuHF8BzGJatWqoVevXpg9ezauX7+uO47ZLV26FK6urujRo4fuKJRGCUOCOT3jvzgtgyjtXF1d0bhxY46IMEFUVBQOHz7stP0hANOW72wvIl2S2wC0t3RAoozImzcvGjZsyEJEKsLCwlCjRg3kyJFDdxQyg5IlS+KTTz7Bhg0bsGnTJoufLy4uDv369cOCBQvw0Ucf4csvv7T4Oe3Rp59+ipiYGEyaNEl3FLNSSmHp0qVo1aqVU66OYu+KFy+OMmXKsBCRxNGjR3Hu3DmulkGURk2aNMHx48dx79691O/sxA4cOICYmBin7Q8BmFaI+AnA6hdsCywXjcg8fHx8cODAAf5CfIH4+HiEh4dzWoaDGT58OF5++WUMHToUT58+tdh5YmNj8cYbb2DJkiWYOHEiPv/8czY8fYHy5cvjrbfewvz583HhwgXdccwmJCQEFy9exOuvv647CqWTp6cn9u3bB6WU7ig2Y+XKlZyWQZQOCe/wJzRipOQlFH8bN26sOYk+KRYilFIuJmyu1gpLlB4+Pj6Ij49HYGCg7ig26dSpU3j06BEbVTqYzJkz47vvvsOFCxcs1pfg+fPn6NGjB5YvX46vv/4aH3/8sUXO40g++ugjuLq64rPPPtMdxWx+/fVXZM+enS/Y7JinpyeuX79u9b4ytiphWkaLFi1QsGBB3XGI7EqDBg2QKVMm9olIxd69e1GtWjXkz59fdxRtTBkRQWTXGjRogNy5c3N6xgsk/EfRpEkTzUnI3Fq0aIEePXrgyy+/REBAgFmP/ezZM7zyyiv4/fffMWPGDIwdO9asx3dUJUqUwODBg/HLL7/g1KlTuuNk2PPnz7Fy5Up07twZOXPm1B2H0ol9Iv6L0zKI0i9btmyoV68e+0SkID4+HiEhIU49LQNgIYKcgJubG1q0aIHt27dz2Gkydu/ejeLFi6NcuXK6o5AFTJ8+HaVLl0arVq0waNAgREZGZviYT58+RefOnbFx40bMmTMHw4cPz3hQJzJu3DjkyJEDH330ke4oGbZ161bcu3ePq2XYuWrVqiF37twsRBglrJbh7++vOwqRXWrSpAkOHDhg0amh9uzEiRN4+PChUzeqBFiIICfh4+ODS5cu4ezZs7qj2BSlFHbv3o2mTZtyXr+DKlasGI4ePYqRI0di3rx5qFGjBoKCgtJ9vCdPnsDPzw/b0MQnTwAANgVJREFUtm3DggULMHDgQDOmdQ4FCxbEmDFjsGbNGrufQ7t06VIUKlQIrVu31h2FMsDV1RWNGjViIQKclkFkDl5eXoiJicGBAwd0R7FJCaNFOCKCyAn4+PgAAKdnJHHhwgX8888/aNq0qe4oZEHZsmXDtGnTsHv37n9HCA0ePDjNoyMeP36Mdu3aISgoCEuWLEH//v0tlNjxjRw5EsWKFcPo0aPtdqTWo0ePsGHDBrz66qvIlCmT7jiUQZ6enjh+/LhZRk3Zs4iICJw9e5bTMogyIOEFNvtEJG/fvn0oVqwYypYtqzuKVixEkFMoX748ypUrx0JEErt37wYAFiKchJeXFyIiIjB8+HDMmTMHNWvWxK5du1J8zD///INff/0Vffv2RZUqVbBv3z4sXboUb7zxhpVSO6YcOXJg4sSJCA0NxZo1a3THSZc1a9YgOjqa0zIchKenJ5RSOHnypO4oWnFaBlHG5c+fH9WqVWOfiBfYu3cvPD09nX40cpoKESJST0ReFZEcxs9ziIibZaIRmZePjw8CAwMRExOjO4rN2L17NwoUKICXX35ZdxSykuzZs2PGjBnYtWsXXFxc4O3tjaFDh+LJkycAgLt37+L333/HoEGDUKVKFZQsWRJvvPEGNmzYgEaNGmHLli3o0aOH5mfhGPr27Ytq1arh/fffx/Pnz3XHSbOlS5eifPnyXHHHQTRs2BCurq44fvy47ijaJEzLaN68OadlEGVQkyZNEBISgri4ON1RbMrVq1dx6dIlp+8PAZhYiBCRIiISDmA/gGUAihhvmg5gWkZDiMg3IvKXiBwTkbUikjejxyRKysfHB5GRkQgLC9MdxWbs2bMHXl5ecHHh4Chn06RJE0RERGDo0KGYPXs2atSoAXd3dxQqVAivvPIKfv75Z5QrVw5Tp07F4cOHcfv2baxevZq9AMzI1dUVU6ZMwdmzZzF//nzdcdLk2rVrCAgIQK9evZz+HR1HkSNHDri7uyMiIkJ3FG0iIiJw5swZTssgMgMvLy88evQIx44d0x3FpiT04mEhwvQRETMA3ABQAEBUov2rAPiYIccOANWVUjUBnAbwgRmOSfQfzZs3h4uLC3bs2KE7ik24du0azp49y2kZTixHjhyYNWsWdu3ahQIFCiBv3rz47LPPsG/fPty/fx+bN2/GqFGj4O7uzmKVhbRt2xYtWrTAZ599hocPH+qOY7LffvsNSilOy3AwLVu2xIkTJ/D48WPdUbRYuXIlXF1d0aVLF91RiOxewrLw7BPxX/v27UOOHDlQq1Yt3VG0M/Uvy5YAxiul7ifZfw5AqYyGUEptV0rFGj8NA1Ayo8ckSipv3rxo2LAh+0QYJfzHwEIENW3aFAcOHEBQUBA+/vhjNG7cmM0HrUREMGXKFNy5cwdff/217jgm+/XXX1G/fn1UqlRJdxQyI19fX8TFxWVoZR17pZTCihUr0LJlS07LIDKDUqVKoUyZMggODtYdxabs3bsXHh4ecHNjdwNTvwLZACQ3gbUQgGjzxQEA9AOw4kU3isg7AN4BgCJFitjlxR0ZGWmXuR1BpUqV8Msvv2DDhg3InTu37jhaLV++HNmyZcPDhw/Nej3y+iZHZ4lrvFWrVpg2bRpq166NwoULm/XY5nbx4kUcOXIEgwcP5s+6g4mNjUXWrFmxcOFCp/s/8u+//8b58+fRtWtXXtcOjH+jWFeVKlUQEBCAwMBAjqwEEBUVhYiICLz++usWuw7t6Ro3tRCxG8CbAD40fq5ExBXAOAABphxARHYCKJrMTeOVUuuN9xkPIBbA0hcdRyk1H8B8AKhXr57y9vY27RnYkODgYNhjbkeQOXNmLFmyBM+fP3f678GQIUPQtGlTtGzZ0qzH5fVNjs4S13jZsmVRuXJlbN68GYsXLzbrsc1t/PjxcHV1xUcffYQiRYqk/gCyK+7u7jh+/LjT/R7/448/4Obmhvfffx/58+fXHYcshH+jWNeVK1ewdetW5M+fH7Vr19YdR7sdO3YgPj4er7/+usWuQ3u6xk0tTY0F8LaI7ACQBYYGlScBeMLEfg5KqVZKqerJbAlFiD4AOgDopex1UXWyeQ0aNEDu3LmdfnrG3bt3cfz4cU7LILIRpUuXxtChQ/Hzzz/bdLPA+Ph4LFu2DK1bt2YRwkHVr18f586dw7lz53RHsRqlFFauXAkfHx8WIYjMqHnz5gDglNO9krN37164uLjAw8NDdxSbYFIhQil1EkANACEAtgPICkOjSnelVIb/pxKRNjCMruiolIpK7f5E6eXm5oYWLVpg+/btcOZ6V0LH3oRGQkSk34cffoh8+fJh7NixuqO8UEhICC5evMgmlQ6sfv36AIBt27ZpTmI94eHhuHz5Ml599VXdUYgcSsmSJVGhQgUWIoz27duHWrVqIVeuXLqj2ASTJ+sopW4opSYopToopdoppT5SSl03U47vAOQCsENEjorIPDMdl+h/+Pj44NKlSzhz5ozuKNrs3r0bWbJk+fcPTiLSL2/evPjoo4+wfft2mx21tXDhQmTPnh2dO3fWHYUspESJEihXrhy2bt2qO4rVrFixApkzZ0anTp10RyFyOM2bN8fu3bsRFxenO4pWMTExCAsL47KdiZhUiBCRwSLyejL7XxeRQRkNoZSqoJR6SSlV27i9m9FjEr2Ij49hxVlnXsZz9+7daNiwIbJmzao7ChElMmjQIJQtWxZjxoyxuT/ajh07hiVLluCtt95Czpw5dcchCxER+Pr6IigoCM+fJ9en3LHEx8dj1apVaNOmDfLkyaM7DpHDad68OR4+fIgjR47ojqJVREQEnjx5Ak9PT91RbIapIyKGA7iSzP6LAEaYKwyRNZQvXx7lypWz2XccLe3x48c4fPgw+0MQ2aAsWbLgyy+/xLFjx/DLL7/ojvMvpRRGjBiBvHnzYsKECbrjkIX5+voiMjISISEhuqNYXEhICP755x9OyyCykITGic4+PSNhWjQLEf/P1EJESQCXktl/1XgbkV3x8fFBYGAgYmJidEexutDQUMTFxbEQQWSjunfvjvr16+Ojjz5CVJRttE1av349AgMDMXHiRDbzcwLNmzeHm5ubU/SJWLFiBbJmzQo/Pz/dUYgcUrFixVClShWnL0Ts3bsXpUuXRsmSfOmcwNRCxA0AtZPZXwfAHbOlIbISHx8fREZGIiwsTHcUq9u9ezdcXV3RqFEj3VGIKBkigqlTp+Kff/7BzJkzdcfBs2fPMHr0aFSrVg0DBgzQHYesIHfu3GjcuLHDFyLi4uKwevVqtG/fns3jiCyoefPm2LNnj1O+AQgYRhXu27eP/SGSMLUQsQzAtyLSWkQyGTcfADMBLLVYOiILad68OVxcXJxyesaePXtQp04dzvEmsmFNmzZFx44dMXnyZPz9999as8yaNQvnzp3DjBkz4ObmpjULWY+vry+OHDmCmzdv6o5iMbt378aNGzfQvXt33VGIHFrz5s0RGRmJQ4cO6Y6ixYULF3D9+nVOy0jC1ELEBAD7AGwDEGXctsCwnOfHlolGZDl58+ZFw4YNna4QER0djfDwcE7LILID33//PbJmzYru3bvj6dOnWjLcvHkTX3zxBfz8/NC6dWstGUgPX19fAI7d2HnlypXInj072rdvrzsKkUNz9j4RCf0hOCLiv0wqRCilYpRSPQFUBvAagF4AKiuleiilnHOMDdk9Hx8fHDx4EPfu3dMdxWoOHDiAZ8+esRBBZAdKliyJX375BceOHcPQoUO1ZBg/fjyio6Mxbdo0Lecnfdzd3VGoUCGHXcYzNjYWv//+O/z8/JAjRw7dcYgcWqFChVC9enWnLUTs3bsXefLkQbVq1XRHsSmmjogAACilziilVimlViqlzloqFJE1+Pj4ID4+HoGBgbqjWM3u3bsBsCJLZC/atm2LDz74AAsWLMCvv/5q1XMfOXIECxcuxNChQ1GxYkWrnpv0c3FxQevWrbF9+3bEx8frjmN2QUFBuH37NlfLILKS5s2bY9++fU6xLHBSe/fuRePGjeHikqaX3g7vhV8NEflWRHIk+viFm/XiEplPgwYNkDt3bqeanrF7927UqFGDXe+J7MjEiRPRtGlTDBgwAKdOnbLKOZVSGDZsGAoWLIiPP+YMTGfVpk0b3L59G0ePHtUdxexWrFiBnDlzok2bNrqjEDmF5s2bIyoqCvv379cdxaru3buHkydP8k3AZKRUlqkBIFOij1+0VbdkQCJLcXNzQ8uWLbF9+3YopXTHsbjY2FiEhIRwWgaRnXFzc8P/tXfn4VGVd9jHvz+SEAQRZAuVRQhI3ZVNERQzbFFeIIQWKy9aQJTFutSFVkWLIFbRihZcADVSFxRUCKsksgmKVFlEEREQWd2gAiUsgYTn/SODb4qBTMjMnJnJ/bmucyWZmXOe+9DHaeaXZ3nzzTepVKkSPXv2ZP/+/SFv85133mHJkiWMHDmSKlWqhLw9iUydOnUCiLndM44cOcLUqVNJS0vjtNNO8zqOSJnQtm1bzKzMTc9YunQpgBaqLMIJCxHOOZ9zbk+h7090tAtbWpEg69ixI1u2bGHDhg1eRwm5zz77jJycHK666iqvo4hICZ111lm88cYbrF27lttuuy2kbR08eJAhQ4ZwySWX0L9//5C2JZEtKSmJSy+9NOYKEfPmzWP37t2aliESRtWrV+fiiy8uc4WIjz76iISEBFq2bOl1lIhT4okqZpZkZprgIjHh2F97ysL0jGPrQ6gQIRKdOnbsyIMPPsjEiROZOHFiyNoZPXo0W7Zs4ZlnniEuLi5k7Uh0SE1N5aOPPmLfvn1eRwmayZMnU6VKlV9+BxCR8PD5fCxdupRDhw55HSVsPvzwQ5o1a0bFihW9jhJxAioomFmCmT1hZvuAHUAD/+OjzOzWEOYTCalGjRqRnJxcZgoRjRs35qyzzvI6ioicomHDhuHz+bj11ltZs2ZN0K//3Xff8dhjj9GjR49ftluTsi01NZW8vLyY+Stmbm4umZmZdO/encTERK/jiJQpPp+P3Nxcli1b5nWUsMjNzeXTTz/V+hAnEOjIhmFAV+AGILfQ458AfYOcSSSsrrnmGubPn8/Bgwe9jhIyR48eZcmSJVofQiTKxcXFMWnSJM444wx69uxJTk5OUK9///33c+TIEZ588smgXleiV5s2bahUqVLMTM/Izs5m7969mpYh4oG2bdtSrly5mClsFmfFihXk5uZqfYgTCLQQ0QsY5JybDhTew2kN0CToqUTCKC0tjQMHDjBv3jyvo4TM2rVr+fnnn1WIEIkBtWvXZtKkSaxfv57BgwcHbbHdTz75hFdffZW7776b5OTkoFxTol/58uXx+XzMnTvX6yhBMXnyZM4880w6dOjgdRSRMqdq1ao0bdq0zBQilixZAmihyhMJtBBxFrCliMfj/YdI1EpJSeGMM84gMzPT6yghc2x9CBUiRGJDu3btGDZsGK+//jovv/xyqa+3cuVK+vXrR+3atXnggQeCkFBiSWpqKps2bWLjxo1eRymVgwcPMn36dHr06EFCQkLxJ4hI0Pl8PpYtW8aBAwe8jhJy8+bN48ILL6RWrVpeR4lIgRYivgSK+gRzHbAieHFEwq98+fJ07tyZmTNnkp+f73WckFiyZAl16tShQYMGXkcRkSAZOnQoHTp04LbbbmPo0KHs2rWrxNfYuXMnAwcOpEWLFuzcuZOJEydSuXLlEKSVaJaamgpE/zaec+fOJScnR9MyRDzk8/k4cuTIL9taxqoDBw6wZMkSLYp7EoEWIoYDY81sKBAH9DSzV4D7gEdCFU4kXNLS0ti5c2dMLp7jnGPx4sW/7N8sIrEhLi6ON998k27duvHYY4/RoEEDhgwZwg8//FDsuXl5eYwdO5YmTZqQkZHBn//8Z9avX//LB06Rwho3bkxycnLUFyImT55MzZo18fl8XkcRKbOuuuoq4uLiWLRokddRQuqDDz4gNzdX/796EgEVIpxzMykY/dCJgjUihgHnAF2dc7E7sV7KjGuvvZaEhASmT5/udZSg27RpE999952mZYjEoBo1ajBlyhTWrFlD9+7dGT16NA0bNuTOO+9kx44dRZ6zcOFCmjZtyh133EGLFi1YvXo1o0ePpmrVquENL1HDzEhNTWXhwoUcPnzY6zinZP/+/cycOZPf/e53xMdrVrGIVypXrkyLFi1ifp2I7OxsKlSowFVXXeV1lIgV6IgInHNZzrmrnXOnO+cqOueudM7F/p6HUiZUqVIFn89HZmZm0BZ+ixRaH0Ik9p1//vm8/vrrrFu3jl69evH888+TnJzM4MGD2bKlYImnrVu3ct1119GuXTtycnKYNm0a2dnZnH/++R6nl2iQmppKTk5O1A6nnjVrFgcOHOC6667zOopImefz+fjkk0+CvvNTJMnKyqJt27acdtppXkeJWAEXIgDMrJ2Z3eY/2oUqlIgX0tLS2LBhA+vWrfM6SlAtXryYGjVqcN5553kdRURC7JxzziEjI4MNGzbQr18/Xn75ZRo3bky3bt0499xzmTVrFiNGjGDt2rV0795d07UkYD6fj/j4+KidnjFhwgTq16+vorxIBPD5fOTl5fHRRx95HSUktm3bxldffaX1IYoRUCHCzBqa2SogG/iL/8g2s1Vmpj2+JCZ069YNIOamZyxevJgrr7xSHzhEypAGDRowbtw4Nm3axODBg1m8eDFdunRh3bp1PPTQQ/oLjZTYGWecQevWraOyEPH111+zYMECBgwYQFxcnNdxRMq8Nm3akJCQELPTM7KzCyYNaH2Ikwt0RMTLwH+BZOdcfedcfSAZ2AO8FKJsImFVt25dmjdvHlOFiB07drBp0yb9BUikjKpbty5jxoxhz549TJkyhfr163sdSaJYamoqq1at4scff/Q6SomMHz+e+Ph4+vfv73UUEQEqVarEZZddFrOFiKysLM466ywuuOACr6NEtEALEVcAdzjnth57wP/9Xf7nRGJC9+7dWbZsGd9//73XUYLi2IrEKkSIiEhpHfvr3rG/9kWDgwcPMnHiRHr06EHt2rW9jiMifj6fjxUrVvDf//7X6yhBlZ+fz7x58+jUqZNGIxcj0ELEVqCocZwVgG3BiyPirbS0NABmzpzpcZLgmD59OklJSTRt2tTrKCIiEuWaNm1KzZo1o2p6xuTJk9m9ezeDBw/2OoqIFJKSkkJ+fj5LlizxOkpQLV++nN27d2taRgACLUTcA4wxs1ZmFuc/WgHP+J8TiQkXXnghDRs2jInpGYcOHeK9994jLS2NcuVKtC6tiIjIr5QrV46OHTuSlZXFkSNHvI4TkBdeeIHzzjuPq6++2usoIlJI69atKV++fMxNz8jOzsbM6NChg9dRIl6gn07eBC4FPgIO+Y+PgGbAG2b232NHSFKKhImZkZaWxvz589m3b5/XcUplwYIF5OTkkJ6e7nUUERGJEddffz27du1i1qxZXkcp1sqVK/nkk08YNGiQhkiLRJjTTjuNVq1axVwhIisri+bNm1OjRg2vo0S8QAsRtwO3ADcBN/uPm/yP3X7cIRLVunfvTm5ublQNPS1KZmYmlStXxufzeR1FRERixLXXXkvdunUZN26c11GK9cILL1CxYkX++Mc/eh1FRIrg8/lYtWoVu3fv9jpKUOzdu5dly5Zp284ABVqIeNU596+iDmDacT+LRLU2bdpQrVq1qJ6ekZ+fz/Tp0+ncuTOJiYlexxERkRgRHx/PLbfcQnZ2Nt98843XcU5o7969TJo0iV69elG1alWv44hIEXw+H845Fi9e7HWUoFiwYAH5+flaHyJAJdm+81fMrArwfvDiiHgvPj6eLl26MHv27KiZA3u8ZcuW8dNPP9G9e3evo4iISIzp378/cXFxvPjii15HOaFXX32VAwcOaJFKkQjWqlUrKlSowIIFC7yOEhRZWVmcfvrpXHGFNpUMRKCFiFZm9mThB8ysKjAP0LoQEnPS0tLYvXs3H374oddRTklmZiYJCQl07tzZ6ygiIhJj6tSpQ9euXcnIyCA3N9frOL/inOOFF16gZcuWNG/e3Os4InICiYmJpKSkMGvWLJxzXscpFeccWVlZtGvXjoSEBK/jRIVACxGpwB/M7D74pQjxPrAX6BKaaCLeSU1NpUKFCmRmZnodpcScc0ybNo327dtzxhlneB1HRERi0KBBg9i5cyfTpk3zOsqvLF68mK+++kqjIUSiQPfu3dm0aRNffPGF11FKZePGjWzevFnTMkogoEKEc24rBcWIe8zsHgqKEHuALs65yCuFi5RSpUqV6NChA9OnT4+6Cu3atWv55ptvNC1DRERCpmPHjjRs2JDx48d7HeVXXnjhBapWrcof/vAHr6OISDHS0tIws4gsapbEsUXutVBl4AIdEYFz7iugMzAM+JmCIsShUAUT8VpaWhpbtmzh888/9zpKiRx7I+/WrZvHSUREJFaVK1eOAQMGsGjRItatW+d1nF/8+OOPTJ06lb59+1KxYkWv44hIMWrXrk3r1q2jvhCRnZ1NcnIyjRs39jpK1DhhIcLMvjCzzwsfFCxamQc0AD4t9LhIzOnatStmFnW7Z2RmZtKqVSt+85vfeB1FRERiWL9+/UhISIioUREZGRkcOXKEgQMHeh1FRAKUnp7O6tWr2bRpk9dRTsnhw4dZuHChRkOU0MlGRLwDvFvE8U9g0nGPicScpKQkrrjiiqgqRGzbto0VK1aQnp7udRQREYlxSUlJpKen869//YuDBw96HYf8/HzGjx+Pz+fj3HPP9TqOiATo2O+t0Toq4uOPPyYnJ0frQ5TQCQsRzrnhzrnhwKPAp8Czxx47/ghbWpEwS0tLY+XKlWzdutXrKAE5VjTR+hAiIhIOgwYNYvfu3bz99tteR2Hu3Lls2bJFi1SKRJnk5GQuueSSqC1EZGVlERcXR7t27byOElWKXSPCOZcHTAUqhz6OSGRJS0sDYMaMGR4nCUxmZibnnXceTZo08TqKiIiUASkpKTRp0iQipme88MIL1K5dW8V4kSiUnp7O0qVL+fHHH72OUmJZWVlcccUV2q2uhAJdrHI1oJU3pMz57W9/y29/+9uomJ7x888/s2jRIv0CJiIiYWNmDBw4kKVLl3q6uPPmzZuZM2cON998MwkJCZ7lEJFTk56ejnMuKn7nLmznzp2sXLlS0zJOQaCFiIeBp8ysu5nVM7NqhY8Q5hPxXPfu3Vm0aBF79uzxOspJzZ49m/z8fBUiREQkrPr06UNiYqKnoyImTJiAmTFgwADPMojIqbvoootITk5m6tSpXkcpkffffx/Qtp2nItBCxGzgIgqmaGwGdvqPXf6vIjErLS2NvLw85syZ43WUk8rMzKROnTq0aNHC6ygiIlKGVK9enZ49e/Laa6+Rk5MT9vYPHz7Myy+/TJcuXahXr17Y2xeR0jMzevTowYIFC9i7d6/XcQKWnZ1NtWrVaN68uddRok6ghQhfoaNdoePYz0FhZveamTOzGsG6pkhpXX755SQlJUX0ULGDBw8yd+5c0tLSKFcu0P+sRUREgmPQoEHs27ePt956K+xtT506lZ9++kmLVIpEufT0dI4cOcLs2bO9jhIQ5xzZ2dl06NCBuLg4r+NEnYA+sTjnPjjZEYwgZlYP6AhEx/YEUmaUK1eOrl278t5773HgwAGv4xRp3rx5HDhwQNMyRETEE61bt+aCCy5g3LhxYW330KFDDB8+nMaNG2totEiUa9WqFbVr146a3TO++OILvv/+e60PcYoC/tOpmSWZ2Qgze8fM3jazh80sKYhZngb+ArggXlMkKG688Ub27dvHpEmTvI5SpGnTplGlShWuvvpqr6OIiEgZZGYMGjSIFStWsHz58rC1+/DDD7Nu3Tqee+45jQgUiXLlypUjLS2N9957j4MHD3odp1jZ2dmA1oc4VfGBvMjM2gBzgR+Bj/0P3wDcbWapzrmPT3hyYNfvBuxwzq02s+JeOwAYAJCUlMSiRYtK07QncnJyojJ3Weaco1GjRjz22GM0atSI4vppOOXn5/Puu+/SsmVLli5d6nUc9W+JeerjEstK078bNGhAYmIiDz/8MPfee29wgxVh3bp1PPnkk3Tu3Jny5cvrv0splt6/I1+jRo3Yv38/o0ePpk2bNl7HOam33nqLs88+m40bN7Jx40av4wDR1cfNueIHIJjZx8AXwCDn3FH/Y+WAccCFzrnWAVxjHlC7iKeGAg8AnZxze81sM9DCOberuGu2aNHChbPqHiyLFi0iJSXF6xhSQhkZGfTv35+FCxdG1P9+ixcv5uqrr+btt9/m97//vddx1L8l5qmPSywrbf/u378/kydPZseOHVSpUiV4wY6Tm5tLs2bN2Lt3L19++WVI25LYoffvyHf48GFq1apFeno6r7zyitdxTujAgQNUq1aNW2+9ldGjR3sd5xeR1sfNbIVzrsiV9AMdw3Yp8NSxIgSA//vRQNNALuCc6+Ccu/D4A9gENARW+4sQdYGVZlZU0ULEM7169aJ69eqMHTvW6yj/IzMzk8TERM1PExERzw0aNIj9+/fzxhtvhLSdRx55hLVr1zJhwgQVIURiSPny5enSpQszZ84kLy/P6zgntHjxYnJzczUtoxQCLUTspaBYcLyGwJ7SBHDOfeGcq+Wca+CcawBsB5o5534ozXVFgu20007jlltuITMzky1btngdByiYMpKZmUmHDh2oXLmy13FERKSMa9GiBU2bNmXcuHEEMur2VKxcuZLHH3+cPn360Llz55C0ISLeSU9P5z//+Q9LlizxOsoJZWVlkZiYSNu2bb2OErUCLUS8BbxsZr3NrKGZNTCzG4AXgTdDF08ksgwePBgz4/nnn/c6CgCff/453377rXbLEBGRiHBs0covvviCCRMmBP36hw8fpl+/ftSqVYunn3466NcXEe9dc801VKhQIWJ3z8jPz+edd96hXbt2VKxY0es4USvQQsRfgHeADGAj8A3wEvA2cF8wA/lHRhS7PoSIF+rXr096ejovvvhiRGzlmZmZiZnRtWtXr6OIiIgA0K9fP6699lpuvfVWZsyYEdRr//3vf+fzzz9n3LhxnHnmmUG9tohEhkqVKpGamsq0adNCNrKqNObOncv27dvp37+/11Gi2kkLEWaWYmblnXOHnXN3AmdSsF5EU6Cac+4u59zhMOQUiRh33HEHu3fvDvn810BkZmbSpk0bkpKCuZOuiIjIqUtISGDKlCk0a9aM66+/no8/LtXmar9YvXo1jz76KL1796Zbt25BuaaIRKb09HS2b98e1u2AAzVhwgSSkpL0PlRKxY2IWADsMbP5ZjYUuARY65z73Dnn/Z+DRTxw5ZVXcskllzBmzBhPq7SbN2/ms88+07QMERGJOKeffjqzZ8+mTp06dOnShXXr1pXqekeOHKFfv35Ur16df/7zn0FKKSKRqmvXrsTFxUXc9IwdO3Ywa9Ys+vXrR0JCgtdxolpxhYgmwJ3AD8CtwEcUFCbeM7MhZtbCzCzUIUUiiZlxxx13sGbNGj744APPchx7Y05LS/Msg4iIyInUqlWLuXPnEh8fT2pqKt99990pX2vUqFGsWrWK559/nurVqwcxpYhEomrVqpGSkhJxhYiMjAyOHj3KzTff7HWUqHfSQoRzbqNz7kXnXG/nXB3gfArWi9gL3AP8G/hP6GOKRJZjW3mOGTPGk/Zzc3N55plnuPzyy2ncuLEnGURERIrTqFEj5syZw88//8y1117L3r17S3yNNWvWMGLECP7whz/Qo0ePEKQUkUiUnp7OunXr+Oqrr7yOAhQsUvniiy/SoUMHGjVq5HWcqBfoYpUAOOfWAe8C04DpQA5weghyiUS00047jQEDBjB9+nQ2b94c9vbHjRvH1q1befTRR8PetoiISEk0b96cd999l7Vr15Kenk5ubm7A5+bl5dGvXz+qVq3K2LFjQ5hSRCLNsenHkTIqIisri23btjFw4ECvo8SEYgsRZlbdzH5nZs+a2VpgK3AHBSMhrqNgAUuRMserrTz37dvHyJEj6dChA+3btw9r2yIiIqeiU6dOvPLKKyxcuJA+ffpw9OjRYs/ZtWsX999/P8uXL+fZZ5+lZs2aYUgqIpGiTp06XHbZZRFTiJgwYQK1atXSIpVBUtyuGauB7cCfgT0UrBdRzTnXxjn3gHMuyzm3P+QpRSJQvXr1SE9P56WXXgrrVp6jR49m165d/P3vfw9bmyIiIqV1ww03MGrUKCZPnsw999zzqwWfDx8+zAcffMDQoUNp2bIltWrV4h//+AfXX389PXv29Ci1iHgpPT2d5cuXs23bNk9zFF6ksnz58p5miRXFjYg4B9gNbAK+ATZqtwyR/y/cW3nu3LmTp556it/97ne0bNkyLG2KiIgEy5AhQ7jzzjt55plneOqpp/j6668ZO3YsXbt2/WVxulGjRlGhQgWGDx/OsmXLeP3119Ha6CJl07F1YTIzMz3N8corr5Cfn69FKoMovpjnqwCXAz7gRuA5M9sJLDp2OOe+DWVAkUh25ZVXcumllzJmzBhuvvnmkP+i9Nhjj7F//35GjhwZ0nZERERCwcwYPXo033//PUOGDGHIkCEANG7cmD59+tCpUydSUlKoUqWKx0lFJBI0adKE888/n3feeYfbb7/dkwz5+fm89NJLtG/fXovEB9FJCxHOuSPAh/7jETNLBK4AUoC+wPNm9qNzrkFoY4pEpmNbed50000sWrQIn88Xsra2bt3Kc889R9++fTn33HND1o6IiEgolStXjldffZUmTZpQp04dOnXqRHJystexRCRC3XDDDTzwwAN88sknXHbZZWFv//3332fLli088cQTYW87lpVo1wzgaKHDAQbUC3YokWjSq1cvatSoEfKtPIcPH46ZMWzYsJC2IyIiEmqJiYk88sgjDBo0SEUIETmp2267jerVq/PQQw950v6ECROoWbPmL7t4SHAUt1hlvJm1NrOhZjaPggUrFwL9KFg34hbg7JCnFIlgFSpUYMCAAcyYMYNvvw3NTKWvvvqKiRMn8qc//Yn69euHpA0RERERkUhTuXJl7rvvPrKzs1myZElY2/7++++ZMWMGffv21SKVQVbciIg9wBJgMPA9cDvQ2DnX0Dl3k3PuNefc9hBnFIl4od7K88EHH6RSpUrcf//9Ibm+iIiIiEikuvXWW6lduzYPPfTQr3bcCSUtUhk6xRUi7gHOdc7Vdc7d6JzL0OKUIr9Wt25devTowUsvvcT+/cHd0fbTTz9l6tSp3HvvvdSoUSOo1xYRERERiXQVK1bkgQce4IMPPmDBggVhafPo0aO8+OKL+Hw+mjRpEpY2y5KTFiKcc+OdcxvCFUYkmt11113s2bOH3r17k5eXF7Tr3n///dSsWZO77roraNcUEREREYkmAwYMoF69ejz44INhGRUxb948Nm/ezIABA0LeVllU0sUqReQErrjiCp599lmmT5/OTTfdxNGjR0t9zXnz5jF//nyGDh1K5cqVg5BSRERERCT6JCYm8tBDD7Fs2TLmzJkT8vYmTJhAjRo1SE9PD3lbZZEKESJB9Kc//YmRI0fy2muvceedd5aqWuuc4/7776d+/foMGjQoiClFRERERKJP3759SU5ODvlaET/88APTp0+nb9++JCYmhqydskyFCJEge+CBB7jnnnt49tln+dvf/nbK15k6dSrLly9n+PDhegMUERERkTIvISGBYcOGsWrVKqZNmxaydiZOnEheXh633HJLyNoo61SIEAkyM+PJJ5+kf//+jBw5kqeeeqrE18jLy2Po0KGcf/753HjjjSFIKSIiIiISfXr37s25557L3/72N/Lz84N+/WOLVKakpGiRyhBSIUIkBMyM8ePH07NnT+69915efvnlEp2fkZHB119/zaOPPkpcXFyIUoqIiIiIRJe4uDiGDx/Ol19+yZQpU4J+/fnz57Np0yYtUhliKkSIhEhcXByvv/4611xzDQMGDODtt98+6esPHTrEG2+8Qdu2bRk4cCBXXHEFaWlpYUorIiIiIhIdfv/733PxxRczbNiwoO5WBwWLVFavXl2LVIaYChEiIVS+fHneffddWrduTe/evZk7d+6vXrNu3Truvvtu6tSpww033MB3333HqFGjmD17NmbmQWoRERERkchVrlw5RowYwYYNG3jttdeCdt3XXnuNd955h/79+1OhQoWgXVd+TYUIkRCrWLEiM2fO5IILLqBHjx58+OGH5ObmMmnSJFJSUjjvvPMYO3Ys7du3Z968eaxfv56//OUvnHnmmV5HFxERERGJSN26daNFixaMGDGCw4cPl/p6M2fOpF+/frRv354RI0YEIaGcjAoRImFQtWpVsrKyqFevHp07d6ZOnTr07t2bbdu28fjjj7N9+3amTJlC+/btKVdO/1mKiIiIiJyMmTFy5Eg2b95MRkZGqa61ePFirrvuOpo1a8a0adO0Y10Y6BOPSJjUqlWLefPmcc4555CSkkJ2djYbNmzgr3/9K0lJSV7HExERERGJKp06daJNmzaMHDmSQ4cOndI1Vq1aRdeuXWnYsCFz5syhcuXKQU4pRYn3OoBIWVKvXj1WrFjhdQwRERERkah3bFSEz+dj/Pjx3HnnnSU6f/369aSmplK1alWys7OpUaNGiJLK8TQiQkRERERERKJSSkoK7du3Z+TIkUyfPp2jR48GdN727dvp2LEjAO+//z5169YNZUw5jgoRIiIiIiIiErWefvppKleuTPfu3bnooot49dVXOXLkyAlfv2vXLjp16sTu3buZO3cuTZo0CWNaARUiREREREREJIpddNFFrF+/nkmTJhEfH0+fPn1o3LgxY8eO5cCBA//z2n379tG5c2e+/fZbZs6cSbNmzTxKXbapECEiIiIiIiJRLT4+nl69evHZZ58xe/Zs6tevzx133MHZZ5/NyJEj2b17N7m5uaSnp7Ny5UqmTJnC1Vdf7XXsMkuFCBEREREREYkJZkbnzp1ZsmQJS5Ys4fLLL+ehhx6ifv36tGnThvnz55ORkUHXrl29jlqmqRAhIiIiIiIiMefKK69k1qxZrF69mrS0ND7//HOeeeYZ/vjHP3odrczT9p0iIiIiIiISsy6++GJef/11XnnlFRISEryOI2hEhIiIiIiIiJQBKkJEDhUiRERERERERCRsVIgQERERERERkbBRIUJEREREREREwkaFCBEREREREREJGxUiRERERERERCRsVIgQERERERERkbCJmEKEmd1uZl+b2Zdm9oTXeUREREREREQk+OK9DgBgZj4gDbjYOZdrZrW8ziQiIiIiIiIiwRcpIyIGA48753IBnHM/eZxHREREREREREIgUgoRTYCrzOzfZvaBmbX0OpCIiIiIiIiIBJ8558LTkNk8oHYRTw0FHgUWAHcCLYHJQLIrIpyZDQAGACQlJTV/6623QpY5VHJycjj99NO9jiESEurfEuvUxyWWqX9LLFP/llgXaX3c5/OtcM61KOq5sBUiTsbM5lIwNWOR/+dvgFbOuZ3FnLcT2BL6hEFXA9jldQiREFH/llinPi6xTP1bYpn6t8S6SOvjZzvnahb1REQsVglkAu2ARWbWBChPAP+AJ7qpSGdmy09UGRKJdurfEuvUxyWWqX9LLFP/llgXTX08UgoRGUCGma0BDgN9ipqWISIiIiIiIiLRLSIKEc65w8ANXucQERERERERkdCKlF0zypoJXgcQCSH1b4l16uMSy9S/JZapf0usi5o+HhGLVYqIiIiIiIhI2aARESIiIiIiIiISNipEiIiIiIiIiEjYqBBRSmZ2jZl9bWYbzey+Ip43Mxvjf/5zM2tW3LlmVs3M3jezDf6vZ4brfkQKC1H/ftLM1vlfP83MqobpdkR+JRR9vNDz95qZM7Maob4PkaKEqn+b2e3+5740syfCcS8iRQnR7ymXmtkyM/vMzJab2WXhuh+RwkrZvzPM7Cf/rpSFz4mcz5nOOR2neABxwDdAMlAeWA2cf9xrOgPvAQa0Av5d3LnAE8B9/u/vA0Z5fa86yt4Rwv7dCYj3fz9K/VuHV0eo+rj/+XpAFrAFqOH1veooe0cI38N9wDwg0f9zLa/vVUfZPELYx7OBawudv8jre9VR9o7S9G//c22BZsCa486JmM+ZGhFROpcBG51zm1zBFqRvAWnHvSYNeNUVWAZUNbPfFHNuGvAv//f/ArqH+D5EihKS/u2cy3bO5fnPXwbUDcfNiBQhVO/hAE8DfwG0IrR4JVT9ezDwuHMuF8A591M4bkakCKHq4w44w/99FeC7UN+ISBFK079xzi0Gfi7iuhHzOVOFiNKpA2wr9PN2/2OBvOZk5yY5574H8H+tFcTMIoEKVf8u7CYKKrkiXghJHzezbsAO59zqYAcWKYFQvYc3Aa4ys3+b2Qdm1jKoqUUCF6o+/mfgSTPbBvwDuD94kUUCVpr+fTIR8zlThYjSsSIeO/6vXyd6TSDningppP3bzIYCecAbp5ROpPSC3sfNrCIwFPhbKbOJlFao3sPjgTMpGAY8BJhiZkW9XiTUQtXHBwN3OefqAXcBL59yQpFTV5r+HRVUiCid7RTMAz6mLr8evnWi15zs3B+PDavxf9WwR/FCqPo3ZtYH6AL0dv5JaiIeCEUfbwQ0BFab2Wb/4yvNrHZQk4sUL1Tv4duBqf6hwJ8ARwEtyCpeCFUf7wNM9X//NgVD5EXCrTT9+2Qi5nOmChGl8ylwjpk1NLPywPXAjONeMwP4o39V01bAXv8wmJOdO4OCN0H8X6eH+kZEihCS/m1m1wB/Bbo55w6E62ZEihD0Pu6c+8I5V8s518A514CCXxKaOed+CNtdiRQI1e8omUA7ADNrQsEiartCfjcivxaqPv4dcLX/+3bAhlDfiEgRStO/TyZiPmfGe9VwLHDO5ZnZbRSsjB4HZDjnvjSzQf7nxwFzKFjRdCNwAOh3snP9l36cgqGO/YGtQM8w3pYIENL+/SyQCLzvH827zDk3KHx3JlIghH1cxHMh7N8ZQIZ/S7jDQB+NbBMvhLCP3wL808zigUPAgDDelghQuv4NYGZvAilADTPbDgxzzr1MBH3ONP1/h4iIiIiIiIiEi6ZmiIiIiIiIiEjYqBAhIiIiIiIiImGjQoSIiIiIiIiIhI0KESIiIiIiIiISNipEiIiIiIiIiEjYqBAhIiIiRTKzvmaW42H7Z5rZj2bWKEzt/cPMxoSjLRERkbJM23eKiIiUQWZW3C8A/wIGA5Wdcz+FIdKvmNmTQA3nXL9iXxyc9moC3wCXOuc2haNNERGRskiFCBERkTLIzGoX+rEL8CLwm0KPHXTO7Q1vqv/PzCoCO4CuzrkPw9juO8C3zrkh4WpTRESkrNHUDBERkTLIOffDsQPYc/xjzrm9x0/NMLOHzWyNmfUxs81mlmNmr5hZeTO71cy2mdl/zGy0mZUrdF55MxtlZtvNbL+ZfWpmqcVE7AwcBT4qdJ0EMxtjZt+ZWa6/vcdL0o6ZnWtmM8xsrz//x2Z2UaGXzAB6ncI/qYiIiAQo3usAIiIiElUaAGkUjKKoA7wL1AZ+ADoB5wJTKCggvOs/5xWgEfB/ge0UFBlmmllL59zqE7RzFbDC/e/QzTuAdOB6YDNQF/htoedP2o6ZnQV86M/WkYICzGVAXKFrfALUMbNGzrlvAv1HERERkcCpECEiIiIlEQf080/bWGNmc4GrgTrOucPAV2b2EeAD3vUvNNkLaOCc2+q/xrNm1gEYCNx6gnbOBr4v4rH1wBJ/gWIrsBQgwHb+BOwHevqz4r9eYd/5vzagYL0IERERCTIVIkRERKQkth63dsSPwPpCH+yPPVbL/30zwIC1Zlb4OonAgpO0c5r/OoVNBN4H1ptZNjAHeM85dzTAdpoCHx6X9XgHC7UvIiIiIaBChIiIiJTEkeN+did47Nh0h3L+n1sW8bqDnNgu4Mz/uahzK82sAXAN0I6CnT1Wm1nHANsxilfN/3VnAK8VERGRU6BChIiIiITSKgoKALWdcwtLeF7f4x90zu0D3gbeNrOJwDKgcYDtrARuMLPyJxkVcSEFhYwvSpBVRERESkC7ZoiIiEjIOOfWA28AE83s92aWbGYtzOxeM+txklOzgPPMrPqxB8zsbjPrZWbnmVljChal/C+wPcB2ngdOB6aYWUsza+y/3qWF2r2KgjUoDgTtH0FERET+hwoRIiIiEmr9KNjR4glgHTALaAtsOdEJzrkvKNjB4vpCD+8DhvgfXwlcClxbqGhw0nacczv8P5cHFlIwiuJ2IK9QG72AF0/1RkVERKR49r+7YomIiIhEBjO7BvgncL5zLj8M7f0f4EngYudcXnGvFxERkVOjEREiIiISkZxzc4HngLpharISBVuTqgghIiISQhoRISIiIiIiIiJhoxERIiIiIiIiIhI2KkSIiIiIiIiISNioECEiIiIiIiIiYaNChIiIiIiIiIiEjQoRIiIiIiIiIhI2KkSIiIiIiIiISNj8P9QZGGM4jKqNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1296x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=1, figsize=(18,12))\n",
    "axes[0].plot(t, x1*1000, 'black')\n",
    "axes[1].plot(t, x2*1000, 'black')\n",
    "axes[0].grid(True)\n",
    "axes[1].grid(True)\n",
    "axes[0].set_title('Tool Displacement X v/s Time',  fontdict={'fontsize':18})\n",
    "axes[1].set_title('Workpeice Displacement X v/s Time',  fontdict={'fontsize':18})\n",
    "axes[0].set_xlabel('Time (sec)', fontdict={'fontsize':14})\n",
    "axes[1].set_xlabel('Time (sec)', fontdict={'fontsize':14})\n",
    "axes[0].set_ylabel('Tool Displacement X (mm)', fontdict={'fontsize':14})\n",
    "axes[1].set_ylabel('Workpeice Displacement X (mm)', fontdict={'fontsize':14})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca66755f",
   "metadata": {},
   "source": [
    "### Displacement of Tool and Workpiece in Y-Direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "11a87d8c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=1, figsize=(18,12))\n",
    "axes[0].plot(t, y1*1000, 'black')\n",
    "axes[1].plot(t, y2*1000, 'black')\n",
    "axes[0].grid(True)\n",
    "axes[1].grid(True)\n",
    "axes[0].set_title('Tool Displacement Y v/s Time',  fontdict={'fontsize':18})\n",
    "axes[1].set_title('Workpeice Displacement Y v/s Time',  fontdict={'fontsize':18})\n",
    "axes[0].set_xlabel('Time (sec)', fontdict={'fontsize':14})\n",
    "axes[1].set_xlabel('Time (sec)', fontdict={'fontsize':14})\n",
    "axes[0].set_ylabel('Tool Displacement Y (mm)', fontdict={'fontsize':14})\n",
    "axes[1].set_ylabel('Workpeice Displacement Y (mm)', fontdict={'fontsize':14})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02d4da22",
   "metadata": {},
   "source": [
    "### Displacement of Tool and Workpiece in Z-Direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "9f89a7c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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//83QoUOpVKmS6XhCCAfkUIUMpdR8wBfIoZQ6AwwBvAC01hOBlUB94ChwF+hkvS1WKfUeEAZ4ANO01vtT/RNIBVonOWNGCCGEEEIIhxcXF8e6devYt2/fP0WLAwcOcOfOnX+OyZs3L7GxsdStW5f169dTvnx5g4mFEI7IoQoZWutWj7ldA+8+5LaVWAodLuvQoUO0atWKt99+22nmLgkhhBBCCPHA+++/z4QJEwDIkycPJUqU4K233qJEiRIUL16c4sWLkzVrVk6fPk2NGjWoU6cOGzZsoHTp0maDCyEcikMVMsSj5c6dm9OnTzNx4kS6deuGUkn1OBVCCCGEEMLxLF++nAkTJvD+++8zbNgwsmbN+tBj8+fPz4YNG6hZsyYBAQFERETwyiuvpGJaIYQjS2M6gLBd5syZGTJkCHv37mXVqlWm4wghhBBCCGGTc+fO0aVLF8qUKcOYMWMeWcR4oHDhwmzYsIG0adPi7+/PwYMHUyGpEMIZSCHDyXTr1o18+fLRr18/4uLiTMcRQgghhBDikeLj42nfvj337t1j/vz5eHt723zfIkWKsH79epRS+Pn5ceTIETsmFUI4CylkOBlvb2+6du3K/v37mTFjhuk4QgghhBBCPNLXX3/N+vXr+fbbbylWrFiy7//SSy+xfv16YmJi8PPz46+//rJDSiGEM5FChhOqUaMGlSpVYvDgwf/q8CyEEEIIIYQj2b17NwMHDqRZs2a89dZbT/w4JUqUYN26ddy5c4datWpx6tSpFEwphHA2UshwQkopRo8ezblz5/j2229NxxFCCCGEEOI/7ty5Q6tWrciZMydTpkx56kb1pUqVYu3atVy/fp1atWpx9uzZFEoqhHA2UshwUtWqVaNJkyZ89dVXXLx40XQcIYQQQggh/qV3794cOXKE2bNnky1bthR5zHLlyhEWFsalS5fw8/PjwoULKfK4QgjnIoUMJ/bll19y9+5dhg8fbjqKEEIIIYQQ/1iyZAlTp05lwIAB1KpVK0Ufu2LFiqxcuZLTp0/Tq1evFH1sIYRzkEKGEytWrBjdunVj0qRJHD582HQcIYQQQgghOH36NF27dqVChQoMGzbMLueoVq0avXr1YvHixbIsqxBuSAoZTm7IkCGkTZuWgQMHmo4ihBBCCCHcXFxcHO3btyc6Opp58+bh5eVlt3N9+OGHpEuXjs8//9xu5xBCOCYpZDi5XLly0a9fP5YsWcKWLVtMxxFCCCGEEG5s1KhRRERE8P3331OkSBG7nuvZZ5+le/fuzJs3j2PHjtn1XEIIxyKFDBfQp08fcufOzUcffYTW2nQcIYQQQgjhhnbs2MHgwYNp2bIlHTp0SJVz9u3bF09PT7788stUOZ8QwjFIIcMF+Pj4MHz4cLZs2cKyZctMxxFCCCGEEG6of//+5MqVi4kTJz71Uqu2yps3L126dGHmzJmcOnUqVc4phDBPChkuolOnTrz88ssMGDCAmJgY03GEEEIIIYQbOXz4MBEREbz77rtkyZIlVc/dv39/tNaMHj06Vc8rhDBHChkuwtPTk1GjRnH48GGmTJliOo4QQgghhHAjU6dOxdPTk06dOqX6uQsUKECHDh2YMmUK58+fT/XzCyFSnxQyXEhQUBA1a9Zk6NCh3Lp1y3QcIYQQQgjhBqKiopg+fTqNGjUid+7cRjJ8/PHHxMTEMHbsWCPnF0KkLilkuBClFKNHj+bSpUt8++23puMIIYQQQgg3sHz5ci5fvkzXrl2NZXjhhRdo3bo1EyZM4NKlS8ZyCCFShxQyXEyFChUICAhgxowZsoKJEEIIIYSwu8mTJ1OwYEFq165tNMfAgQO5d++evKAnhBuQQoYLatOmDcePH2fbtm2mowghhBBCCBd27Ngx1q9fz1tvvYWHh4fRLC+//DKvv/4648eP59q1a0azCCHsSwoZLqhZs2akS5eOuXPnmo4ihBBCCCFc2NSpU/Hw8DDS5DMpgwYN4tatW4wfP950FCGEHUkhwwVlypSJhg0bsnDhQlmKVQghhBBC2EV0dDTTpk0jKCiIfPnymY4DwKuvvkqjRo349ttvuXnzpuk4Qgg7kUKGi2rTpg2XL19m7dq1pqMIIYQQQggXFBwczMWLF+nWrZvpKP8yaNAgrl27xoQJE0xHEULYiRQyXFRgYCBZs2aV6SVCODitNSdPnmTlypWMHj2a999/n927d5uOJYQQQjzWlClTeO6556hXr57pKP9SoUIF6taty9ixY7l7967pOEIIO/A0HUDYh7e3N2+88QZz5szh9u3bZMiQwXQkIdze2bNn+f3339m/f/8/259//snt27f/OcbLy4vJkyczduxY3n33XZRSBhMLIYQQSfvrr79Ys2YNgwcPNt7kMymDBg2ievXqTJ48md69e5uOI4RIYTIiw4W1adOGu3fvsnz5ctNRhHBrWms++eQTnnvuOQIDA+nbty8rV64kQ4YMdOrUiQkTJhAZGcmVK1c4d+4ctWvX5v333+eNN97g+vXrpuMLIYQQ//G///0PpRSdO3c2HSVJ1apVw9fXl9GjR3P//n3TcYQQKUwKGS6sWrVq5M+fn3nz5pmOIoTbiouLo0ePHnz++ed07NiRjRs3cvnyZS5cuMD69esZN24c3bt3p3r16mTLlo0cOXKwYsUKRo8ezfLlyylbtiw7d+40/WkIIYQQ/4iNjWXatGkEBgZSoEAB03EeatCgQZw7d47p06ebjiKESGEOVchQStVTSh1SSh1VSg1I4vaPlFJ7rdsfSqk4pVQ2620nlFK/W2/7NfXTO540adLQunVrwsLCuHTpkuk4Qrid6OhoWrduzaRJk/j444+ZNm0aNWrUIHv27I+8X5o0aejbty+RkZHExcVRtWpVvvvuO7TWqZRcCCGEeLjQ0FDOnz9P165dTUd5JD8/PypWrCh/Q4VwQQ5TyFBKeQA/AIFAcaCVUqp4wmO01qO11qW11qWBj4GNWuurCQ6pZb29fGrldnRt2rQhLi6ORYsWmY4ihFu5c+cODRs2ZNGiRYwZM4bPP/882f0uKleuzJ49ewgMDKR37940a9aMa9eu2SmxEEIIYZvJkyeTJ08egoKCTEd5JKUUXbp04dChQ+zZs8d0HCFECnKYQgbwGnBUa31cax0NLAAaP+L4VsD8VEnmxEqWLEnJkiVl9RIhUtHVq1cJCAhg3bp1TJs2jT59+jzxY2XLlo1ly5bx9ddfExoaSpkyZdi+fXsKphVCCCFsd+rUKVatWkWXLl3w9HT8dQOaN2+Ol5eX/C8shItRjjLMSin1OlBPa/2W9eN2QEWt9XtJHPsMcAYo8mBEhlLqL+AaoIFJWuvJDzlPN6AbQK5cucotWLDAHp+OXSV3FZL58+czefJk5s6dS968ee2YTIin5+yr7Fy+fJl+/fpx5swZPv30U6pXr55ij33gwAGGDx/OpUuXGDBgAAEBASn22CL1OPs1LsSjyPXt+qZPn87s2bOZN28euXPnNh3HJoMGDeLQoUMsWLDgqVZYketbuDpHu8Zr1aq162GzLRypkPEGUDdRIeM1rfX7SRzbEmirtW6YYF9erfU5pVROYC3wvtY68lHnLF++vP71V+drpxEREYGvr6/Nx588eZJChQoxYsQIBg0aZL9gQqSA5F7fjuTo0aPUqVOHS5cusWzZMvz9/VP8HNevXycoKIg///yTI0eOkCNHjhQ/h7AvZ77GhXgcub5dW2xsLIULF6ZEiRKsXr3adBybLVq0iJYtW7J+/Xr8/Pye+HHk+hauztGucaXUQwsZjjS15AyQP8HHzwHnHnLsmySaVqK1Pmd9exH4GctUFQEULFiQ6tWrM3fuXGl0JISd7Nu3j2rVqnHz5k02bNhglyIGQJYsWZg8eTK3bt1i8ODBdjmHEEIIkZTVq1dz5swZunXrZjpKsjRs2JCMGTPK9BIhXIgjFTJ2AkWVUoWVUt5YihUrEh+klMoM1ASWJ9jno5TK+OB9oA7wR6qkdhJt2rTh4MGD0uhICDvYsWMHNWvWxNPTk02bNlGhQgW7nq9EiRK88847TJo0iX379tn1XEIIIcQDkydPJleuXDRs2PDxBzuQ9OnT06xZM5YsWcL9+/dNxxFCpACHKWRorWOB94Aw4ACwSGu9XynVXSnVPcGhTYE1Wus7CfblAjYrpX4DdgChWmvnGe+WCt544w1pdCSEHdy8eZMWLVqQNWtWfvnlF15++eVUOe+wYcPImjUrvXr1kpFWQggh7O7MmTOEhobSqVMnvLy8TMdJttatW3Pjxg1WrlxpOooQIgU4TCEDQGu9Umv9otb6Ba31SOu+iVrriQmOmaG1fjPR/Y5rrUtZtxIP7iv+X7Zs2QgMDGT+/PnExcWZjiOEy+jTpw+nT59m7ty5FCxYMNXOmzVrVkaMGEFERARLlixJtfMKIYRwT9OmTSM+Pp633nrLdJQn4ufnR65cuZg3b57pKEKIFOBQhQxhX23atOH8+fNERESYjiKES1i1ahVTp07lo48+onLlyql+/m7duvHqq6/St29f7t27l+rnF0II4R601sycORN/f39eeOEF03GeiKenJy1btiQkJIQbN26YjiOEeEpSyHAj0uhIiJRz9epVunTpQokSJRg2bJiRDB4eHnz33XecPHmSMWPGGMkghBDC9R08eJDjx4/z+uuvm47yVNq0aUNUVJSMZBTCBUghw41IoyMhUk7Pnj25dOkSs2bNIm3atMZy+Pr68vrrr/PFF19w+vRpYzmEEEK4rpCQEADq169vOMnTqVChAkWKFJHpJUK4AClkuJk2bdpw8+ZNQkNDTUcRwmktXbqUuXPnMmjQIMqWLWs6DqNHj0ZrTf/+/U1HEUII4YJCQ0MpWbIkBQoUMB3lqSilaN26NRs2bODcuXOm4wghnoIUMtyMn58fuXPnluklQjyhixcv0r17d8qWLcvAgQNNxwGgUKFCfPTRR8yfP5/NmzebjiOEEMKFXL9+nc2bN9OgQQPTUVJE69at0VqzYMEC01GEEE9BChluxsPDgzfffJPQ0FCuXbtmOo4QTkVrTY8ePbhx4wazZs1yqOXn+vfvz3PPPUfPnj1lZSIhhBApZs2aNcTFxREUFGQ6SoooVqwY5cqVk+klQjg5T9MBROpr06YN3377LUuWLHHaJbSEMGHevHksXbqUUaNGUaJECdNx/sXHx4fRo0fTqlUrpk+fLj/bwinduXOHb775hhUrVpA5c2Zy5Mjx0C137tzkypXLdGQhXF5oaCjZsmWjUqVKpqOkmDZt2vDhhx9y6NAhihUrZjqOEOIJyIgMN1SuXDlefPFF5s+fbzqKEE7j7NmzvPfee1SpUoUPP/zQdJwktWzZkmrVqjFw4ECuX79uOo4QNouJiWHixIkUKVKETz/9FC8vL+7cucOuXbuYO3cuQ4cO5b333uPNN98kICCA0qVLkzt3bpo0acKff/5pOr4QLisuLo5Vq1ZRr149PDw8TMdJMW+++SZKKRmVIYQTe2whQyn1slJquFJqo1LqpFLqolJqv1JqtlKqtVLKXLt+8USUUjRr1ozIyEhu3rxpOo4QDk9rTdeuXYmKimLGjBkO+8+cUorvvvuOy5cvM2LECNNxhHgsrTVLlizhlVdeoUePHhQpUoQtW7bwyy+/sGXLFg4fPszVq1eJiYnh77//Zv/+/WzcuJElS5bw6aefsmHDBkqWLEnnzp1l1R4h7GDnzp1cunTJZaaVPJAnTx78/PyYO3cuWmvTcYQQT+ChhQylVFml1DpgD1AV2AKMAQYCMwENjATOKaX6S0HDuQQGBhIbG8u6detMRxHC4f3vf/9j1apVjBo1iqJFi5qO80hly5alS5cujBs3joMHD5qOI8RDbdy4kUqVKvH666/j5eVFcHAwkZGRVK5c+T/Henp6kjNnTooXL06NGjVo1qwZw4cP5/jx4/Tq1Yu5c+dStGhRPvroI65evWrgsxHCNYWGhpImTRrq1atnOkqKa9OmDceOHWPHjh2mowghnsCjRmT8bN3yaK39tdYfa63Ha62naq1Haa3ba60LAw2AckCf1AgsUkblypXJlCkTq1atMh1FCId24sQJPvjgA/z8/HjnnXdMx7HJyJEj8fHxoV+/fqajCPEf+/btIygoCF9fX86dO8e0adP47bffaNCgAUqpZD1Wjhw5+Prrrzl8+DAtW7Zk7NixPP/883z55ZfcvXvXTp+BEO4jNDSUKlWqkC1bNtNRUlyzZs1ImzatTC8Rwkk9qpBRVGv9g9b6kUtbaK23aq1bYBmtIZyEl5cXtWvXZtWqVTKkToiH0FrTrVs3lFJMmzaNNGmco61Qzpw56dWrFyEhIZw6dcp0HCH+MXz4cEqXLs2WLVsYNWoUhw8fplOnTk89XatgwYLMnDmT3377jWrVqvHxxx9TtGhRJk+eTGxsbAqlF8K9nDt3jj179rjctJIHMmfOTIMGDViwYIH8nhDCCT30v3KtdXRyHii5xwvzAgMDOXv2LH/88YfpKEI4pNDQUNauXctnn31GwYIFTcdJlo4dO6K1ZtasWaajCAHA4sWLGTJkCK1ateL48eN89NFHpE+fPkXPUbJkSUJCQti4cSMFChTg7bffpnbt2ly5ciVFzyOEO1i5ciWAyxYywDK95OLFi6xfv950FCFEMtn88qJSqoxS6kOl1JdKqVEJN3sGFPbzYL6jTC8R4r9iYmL46KOPePHFF+nRo4fpOMlWuHBhfH19mTFjhoy6Esb9+eefdOrUiSpVqjB9+nSyZs1q1/PVqFGDLVu2MG3aNLZs2ULFihU5cOCAXc8phKsJDQ0lf/78vPLKK6aj2E1gYCCZM2eW6SVCOCGbChlKqX7ALuB9wBeonmCrZq9wwr7y5cvHq6++KoUMIZIwZcoUDh48yKhRo/Dy8jId54l06tSJY8eOsXnzZtNRhBu7ceMGTZs2JUOGDCxevBhvb+9UOa9Sik6dOhEREcHt27epVKmS/L0TwkZRUVGsXbuWoKCgZPeucSbp0qXj9ddfZ+nSpdJXRwgnY+uIjA+AHlrrwlrrSlrrygm2KvYMKOwrMDCQzZs3yzKsQiRw48YNhgwZQs2aNWnUqJHpOE+sefPmZMiQgenTp5uOItxUfHw8HTt25NixYyxatIi8efOmeobKlSuzY8cOnn/+eRo0aMDXX38to5SEeIyNGzdy584dl55W8kDr1q25ffs2ISEhpqMIIZLB1kJGGkAmj7mgB8uwytxAIf7fF198weXLlxk7dqxTvxLl4+NDixYtWLRoEbdv3zYdR7ihr776imXLljFmzBhq1KhhLEeBAgXYvHkzTZs2pU+fPnTp0oWoqChjeYRwdKGhoaRLlw4/Pz/TUeyuZs2a5M2bl7lz55qOIoRIBlsLGROATvYMIsyoUqWKLMMqRAInTpzg22+/pV27dpQrV850nKfWqVMn7ty5w5IlS0xHEW5m7dq1DBo0iDfffJNevXqZjoOPjw+LFi1i8ODBTJ8+HX9/fy5evGg6lhAOR2tNaGgofn5+PPPMM6bj2J2Hhwdvvvkmq1at4saNG6bjCCFsZGshYxhQVim1Vyk1Wyk1LeFmz4DCvry8vAgICJBlWIWwGjhwIEopRo4caTpKiqhatSpFihSR6SUiVZ08eZJWrVpRvHhxpk6d6jAjm9KkScOwYcNYsGABu3btokKFCuzbt890LCEcyuHDhzl27JhbTCt5oGnTpsTExBAWFmY6ihDCRrYWMkYCdYAYICvwbKJNOLHAwEDOnDnD/v37TUcRwqgdO3Ywf/58+vTpQ/78+U3HSRFKKTp27MjGjRs5fvy46TjCDdy/f5/mzZsTExPD0qVL8fHxMR3pP1q2bMmmTZuIjY2lSpUqrFixwnQkIRxGaGgo4NrLriZWuXJlcuTIwfLly01HEULYyNZCxjtAa611Ba11A611w4SbPQMK+5NlWIWwDKX98MMPyZUrF/379zcdJ0W1b98epRQzZswwHUW4OK017777Lrt27WLOnDkULVrUdKSHKl++PDt37qR48eI0a9aMhQsXmo4khEMIDQ2lRIkSFCxY0HSUVOPh4UGDBg1YuXIlMTExpuMIIWxgayHjHrDHnkGEOc899xwlS5aUQoZwa0uXLuWXX35h+PDhZMyY0XScFJU/f35q167NzJkziY+PNx1HuLApU6Ywbdo0Bg0aRMOGjv86R968eVm/fj1VqlShdevW0uxPuL0bN24QGRnpVqMxHmjUqBHXr1+XJcuFcBK2FjK+AXorR5nkKlLcg2VYb926ZTqKEKkuOjqa/v37U6JECTp37mw6jl107NiRU6dOER4ebjqKcFHbt2/nvffeo27dugwdOtR0HJtlzJiRVatWUbNmTdq1a8fMmTNNRxLCmLVr1xIbG+uWhYzatWuTNm1amWomhJOwtZBRHWgDnFBKrVJKrUi42TGfSCWBgYHExMTIMqzCLf3www8cO3aMMWPG4OnpaTqOXTRp0oTMmTNL009hFzExMbRq1Yp8+fIxb948PDw8TEdKFh8fH0JCQggICKBTp05MnTrVdCQhjAgNDSVLlixUqVLFdJRUlyFDBgICAli+fLk0wBfCCdhayLgMLAU2ABeAK4k24eSqVq36z6tSQriTq1evMmLECOrUqfNPvxhXlD59elq1asXSpUtleTmR4mbPns1ff/3F999/T7Zs2UzHeSLPPPMMK1asoF69enTt2pUJEyaYjiREqoqPj2flypXUq1fPZYv6j9OoUSP++usvaYAvhBOwqZChte70qM3eIYX9yTKswl2NGDGCGzduMGbMGNNR7K5Tp07cu3ePRYsWmY4iXEhsbCyff/455cqVo379+qbjPJV06dLx888/07BhQ9555x3GjRtnOpIQqWbXrl1cvHjRLaeVPNCgQQMAmV4ihBOwdURGqlBK1VNKHVJKHVVKDUjidl+l1A2l1F7rNtjW+4rHCwwM5PTp0/z555+mowiRKo4ePcoPP/xA586dKVmypOk4dlehQgVefvllmV4iUtSCBQs4duwYgwYNwhVaaaVNm5affvqJpk2b0qtXL8aOHWs6khCpIjQ0FKWUS49OfJy8efPy2muvyTKsQjgBmwoZSqmsSqnvlFL7lFIXlFIXE24pEUQp5QH8AAQCxYFWSqniSRy6SWtd2roNT+Z9xSMEBgYCsgyrcB/9+/fH29ubESNGmI6SKpRSdOrUia1bt3Lw4EHTcYQLiIuLY+TIkZQsWZJGjRqZjpNivL29WbhwIW+88QZ9+/blyy+/NB1JCLsLCQmhUqVK5MiRw3QUoxo1asSOHTs4f/686ShCiEewdUTGLKAhsAQYCnyaaEsJrwFHtdbHtdbRwAKgcSrcV1g999xzvPLKK1LIEG5h27ZtLF26lP79+5M7d27TcVJN27Zt8fDwkJUZRIpYsmQJBw8eZNCgQaRJ41CDPJ+al5cX8+bNo3Xr1nz88cduU/AU7un8+fPs2rXLraeVPPCgKBsSEmI4iRDiUWzt5OML1NRa77ZjlnzA6QQfnwEqJnFcZaXUb8A5oK/Wen8y7otSqhvQDSBXrlxEREQ8ffJUdvv2bbvlLlGiBEuWLGHlypU888wzdjmHEI9iz+v7Aa01ffr0IWvWrJQvX94pfw88jQoVKjB16lQCAgKcbnUJV5Aa13hqiI+P5+OPP6ZAgQJkz57dJT6npHTu3JkrV64wePBgTp8+TevWrU1Hcmiucn27m5UrVwLO+79xStJakzt3bqZNm0bRokX/dZtc38LVOdM1bmsh4xj276eR1MTaxF0ndwMFtda3lVL1gWVAURvva9mp9WRgMkD58uW1r6/vk+Y1JiIiAnvl1lqzcOFCYmJi7HYOIR7Fntf3A2vXrmXPnj2MGzfunylV7qRv3768/vrrREdHu+Xnb1pqXOOpYdmyZRw/fpzZs2fj7+9vOo5d+fr60r59e6ZMmULx4sXp3bu36UgOy1Wub3czfvx4nnvuObp06eISvW6eVsuWLZk4cSIVKlTAx8fnn/1yfQtX50zXuK3FiV7AF0qpUtZ+FPZwBsif4OPnsIy6+IfW+qbW+rb1/ZWAl1Iqhy33FbapWrUqGTJkkOklwmVprRk4cCAFCxakW7dupuMY0bBhQ7Jnzy5NP8UT01ozYsQIXnjhBd58803TcezuwXSs5s2b88EHHzBx4kTTkYRIMdHR0axdu5b69etLEcOqUaNGREVFsXbtWtNRhBAPYWsh4yiQHsuIiGilVFzCLYWy7ASKKqUKK6W8gTeBf619pJTKray/YZVSr1nzX7HlvsI23t7esgyrcGlLly7l119/ZejQoaRNm9Z0HCO8vb1p06YNy5cv5+rVq6bjCCe0atUqdu/ezcCBA/H0tHVwp3Pz9PRk3rx5NGjQgB49ejBjxgzTkYRIETt27ODWrVvUrVvXdBSHUb16dbJkySLLsArhwGwtZMwHMgM9gZZAi0TbU9NaxwLvAWHAAWCR1nq/Uqq7Uqq79bDXgT+sPTLGAW9qiyTvmxK53FFgYCCnTp3iwIEDpqMIkaJiY2MZNGgQL7/8Mu3atTMdx6iOHTsSHR3N/PnzTUcRTubBaIyCBQu63c+Rt7c3ixcvpnbt2nTp0oUFCxaYjiTEU4uIiEApRc2aNU1HcRheXl7Ur1+fkJAQ4uJS6jVbIURKsvVllPLAa1rrP+wZxjpdZGWifRMTvP898L2t9xVPJuEyrMWLyyq2wnXMnj2bgwcPsmTJErdvclmmTBlKlSrF9OnTeffdd03HEU5k/fr1bNu2jQkTJuDl5WU6TqpLly4dy5Yto379+rRt25a0adPStGlT07GEeGLh4eG8+uqrZM+e3XQUh9KoUSPmzZvHtm3bqFq1quk4QohEbB2R8SeQyZ5BhOPInz+/LMMqXE5UVBRDhw6lQoUK8qTDqkOHDuzatYtjx46ZjiKcyIgRI8iXLx+dOnUyHcWYZ555huDgYF577TVatmz5z4oPQjibqKgotmzZQq1atUxHcTj16tXD09NTppcI4aBsLWQMAr5WSgUopXIppbIl3OwZUJgRGBjIpk2buH37tukoQqSIiRMncurUKT7//HNpZmbVqFEjAEJDQw0nEc4iMjKSyMhI+vXr57Y9Zh7ImDEjq1at4tVXX6VZs2asW7fOdCQhkm379u3cv3/faVYpSE2ZM2fG19eX5cuXm44ihEiCrYWMlcBrwBosq4Fcsm6XrW+FiwkMDCQ6OpoNGzaYjiLEU7t9+zYjR47Ez8+PgIAA03EcxgsvvECxYsUICQkxHUU4iREjRpArVy66du1qOopDyJw5M2FhYbz44os0atSIyMhI05GESJbw8HCUUtSoUcN0FIfUuHFjDh06xKFDh0xHEUIkYmsho1aCzS/B9uBj4WJkGVbhSr799lsuXbrE559/bjqKwwkKCmLjxo0y+ko81rZt21i3bh19+/Ylffr0puM4jOzZs7Nu3ToKFixIUFAQ27dvNx1JCJtFRERQunRpsmbNajqKQ2rYsCEAwcHBhpMIIRKzqZChtd74qM3eIUXqk2VYhau4cuUKo0ePpnHjxlSsWNF0HIcTFBREdHS0DIsXjzVixAiyZ89O9+7dH3+wm8mZMyfr168nV65cBAYGsm/fPtORhHis+/fvs3XrVumP8QgFCxakVKlSMr1ECAf00EKGUqqwrQ+iLPKnTCThKOrWrcvJkyc5cuSI6ShCPLGvvvqKW7du8dlnn5mO4pCqVatGpkyZpE+GeKRdu3axcuVKPvzwQzJkyGA6jkPKmzcv69at45lnnqF27docPnzYdCQhHmnbtm1ERUVJf4zHaNy4MVu2bOHSJZlNL4QjedSIjK1Kqf8ppSo/7AClVFalVA8sq5o0TvF0wih/f38A6ZMhnNbZs2cZP348bdu25ZVXXjEdxyF5e3tTp04dQkNDZfSVeKjPPvuMLFmy8N5775mO4tAKFSrEunXr0FoTEBDAyZMnTUcS4qHCw8NJkyYN1atXNx3FoTVq1Ij4+HhZnUgIB/OoQsZLwFUgVCl1SSm1Wik1XSk1QSm1QCm1D7gItAV6a62/T43AIvUUKVKE/Pnzs379etNRhHgiI0aMIC4ujmHDhpmO4tCCgoI4f/48e/bsMR1FOKCjR4+ybNkyevXqRaZMshL747z00kusXbuWW7duERAQwPnz501HEiJJERERlClThixZspiO4tDKli1Lvnz5ZBlWIRzMQwsZWuvrWuuPgHxAD+AgkAUoDMQCM4EyWuuqWuuwVMgqUplSCn9/f8LDw4mPjzcdR4hkOXr0KP/73//o1q0bhQvbPFPOLQUGBgKyDKtI2pw5c1BKyUolyVCqVClWrVrF+fPnqVOnDleuXDEdSYh/uXfvHtu2bZP+GDZQStGoUSPCwsKIjo42HUcIYfXYZp9a63ta65+01r211k211vW01m211mO11n+kRkhhjr+/P1euXOG3334zHUWIZBk8eDDe3t4MGjTIdBSHlytXLl577TUpZIj/0FozZ84c/P39yZcvn+k4TqVSpUqsWLGCI0eOUK9ePW7evGk6khD/2Lp1K9HR0dIfw0aNGjXizp077N6923QUIYSVrcuvCjfl52dZXVf6ZAhn8ttvvzF//nx69epF7ty5TcdxCkFBQezYsYOLFy+ajiIcyLZt2zh27Bht27Y1HcUp+fn58dNPP7F3714aNmzI3bt3TUcSArD0x/Dw8JD+GDaqVasWGTJkYMuWLaajCJFsWmsGDRrkcoU4KWSIR8qbNy8vvfSS9MkQTmXAgAFkzZqVjz76yHQUpxEUFITWmlWrVpmOIhzI7NmzSZ8+Pc2aNTMdxWk1aNCAOXPmsGnTJpo3b05UVJTpSEIQHh5OuXLlpO+NjdKmTUvdunXZsmWLTLcWTmf37t2MHDmSHTt2mI6SoqSQIR7L39+fyMhImRconMKGDRtYvXo1AwcOJGvWrKbjOI0yZcqQO3dumV4i/hEdHc3ChQtp0qQJGTNmNB3HqbVs2ZIpU6awevVq2rRpQ2xsrOlIwo3duXOHHTt2yLSSZGrcuDFXrlxh165dpqMIkSwzZ84kbdq0tGzZ0nSUFCWFDPFY/v7+//zRE8KRxcfH069fPwoUKCDLRCZTmjRpqF+/PmFhYcTExJiOIxzAqlWruHr1Ku3atTMdxSV06dKFb775hiVLlvD222/LcsfCmC1bthATEyONPpMpMDAQpZQU/IVTiYqKYu7cuTRp0sTlXuCTQoZ4rJo1a6KUkj4ZwuEtXryYXbt2MWLECNKlS2c6jtNp0KABN2/e5JdffjEdRTiAOXPmkDNnTmrXrm06isvo3bs3gwcPZtq0aQwcONB0HOGmIiIi8PDwoGrVqqajOJUcOXJQvHhxQkJCTEcRwmahoaFcvXqVDh06mI6S4h5ZyFBK/U8pVfERt+dQSh1P+VjCkWTLlo2yZctKnwzh0KKjoxk4cCAlS5akTZs2puM4pYCAALy8vOSfNMH169cJDg6mVatWeHp6mo7jUoYOHcrbb7/Nl19+ybfffms6jnBD4eHhVKhQQaaMPYHKlSuza9cuzp07ZzqKEDaZMWMGefLkcckXJR43IqMTEKGU6vSQ2z2AgikbSTgif39/tm7dyp07d0xHESJJkydP5vjx43z11Vd4eHiYjuOUMmbMSM2aNWXYrGDx4sVERUXJaiV2oJTihx9+oHnz5nzwwQfMnTvXdCThRm7fvs3OnTulP8YTqly5MgArV640nESIx/v7779ZuXIl7dq1c8kXJWyZWjIKmKSU+k4pJVNR3JS/vz8xMTFs3rzZdBQh/uPmzZsMHz4cX19f6tWrZzqOUwsKCuLgwYMcPy6D7dzZnDlzeOmllyhXrpzpKC7Jw8ODOXPm4OvrS8eOHVm9erXpSMJN/PLLL8TGxkp/jCdUuHBhChQoIAV/4RTmzZtHXFycS04rAdsKGT8AtYE3gTVKqWz2jSQcUdWqVfHy8pI+GcIhjRkzhkuXLjFq1CiUUqbjOLUGDRoAyD9pbuzEiRNERkbStm1b+Xmyo3Tp0rF8+XJeeeUVmjdvzvbt201HEm4gIiICT09PqlSpYjqKU1JKERQUxNq1a7l//77pOEI80owZM6hQoQLFixc3HcUubBphobXeCLwGZAN2KqVesWsq4XB8fHyoXLmy9MkQDufChQuMHTuWFi1aUKFCBdNxnF6RIkV48cUXpZDhxubNmwcgvWZSQaZMmVi1ahW5c+f+ZzSUEPYUHh7Oa6+9RoYMGUxHcVoNGjTgzp07bNy40XQUIR5q79697Nu3j44dO5qOYjc2TxXRWp8EqgI7gK1KqWZ2SyUckr+/P7t37+bq1aumowjxj2HDhhEdHc3IkSNNR3EZQUFBhIeHc/v2bdNRRCrTWjN79myqV69OoUKFTMdxC7lz52bNmjV4enpSp04dzpw5YzqScFG3bt3i119/lf4YT6lWrVqkT59eGmMLhzZjxgy8vb158803TUexm8cVMv61yLnW+p7WuhXwGbAAGGKvYMLx+Pv7o7UmIiLCdBQhADh8+DBTpkzh7bffpkiRIqbjuIygoCCio6NlBJYb2r17NwcPHqRdu3amo7iVF154gVWrVnHjxg3q1q0rLxgIu9i8eTNxcXHSH+MppU+fnoCAAEJCQtBaP/4OQqSy6Oho5s6dS6NGjciWzXW7QjyukJHk5Fit9VdAIyx9M4SbqFChAj4+PtInQziMgQMHkj59egYPHmw6ikupXr06GTNmlOklbmj27Nl4e3vz+uuvm47idsqUKcPy5cs5duwYDRs25O7du6YjCRcTHh6Ol5eX9MdIAQ0aNODEiRMcOHDAdBQh/mPVqlVcvnzZpaeVgG3Lr95I6gat9WqgIjAspUMJx+Tt7U2NGjXkVVrhELZt28aSJUvo27cvOXPmNB3HpXh7e1OnTh1CQ0Pl1SY3Ehsby/z582nYsCFZs2Y1Hcct+fr6Mm/ePLZt20br1q2Jj483HUm4kIiICCpWrMgzzzxjOorTq1+/PoBMLxEOacaMGeTKlYu6deuajmJXjyxkaK1naq2jHnH7Ea318JSPJRyVv78/Bw8e5OzZs6ajCDemtaZfv37kzJmTPn36mI7jkoKCgjh37hx79+41HUWkkrVr13Lx4kXatm1rOopba9asGd9++y3Lly/n008/NR1HuIgbN26wa9cumVaSQp577jlKly4thQzhcC5dukRISAht27bF09PTdBy7srnZpxAAfn5+ADK9RBgVGhrKpk2bGDJkiHRet5PAwEBAlmF1J3PmzCFbtmz/vNIozHnvvffo1q0bn3/+OXPnzjUdR7iAzZs3Ex8fL40+U1CDBg345ZdfpKeNcCjz588nNjaWDh06mI5idw5VyFBK1VNKHVJKHVVKDUji9jZKqX3WbYtSqlSC204opX5XSu1VSv2ausndR6lSpciePbsUMoQxcXFxDBgwgKJFi9K1a1fTcVxW7ty5KV++vBQy3MStW7f4+eefadGiBd7e3qbjuD2lFOPHj6dmzZp06dKF7du3m44knFx4eDje3t5UrlzZdBSX0aBBA+Lj4wkLCzMdRYh/zJgxg3LlylGyZEnTUezOYQoZSikP4AcgECgOtFJKFU902F9ATa31q8AIYHKi22tprUtrrcvbPbCbSpMmDbVq1WL9+vUyd14YMXPmTPbv38/nn3+Ol5eX6TgurUGDBmzfvp1Lly6ZjiLs7Oeff+bevXuyWokD8fb2ZsmSJeTLl48mTZrIsqziqURERFCpUiXSp09vOorLqFChAs8++6xMLxEO47fffmPPnj0u3+TzAYcpZACvAUe11se11tFYlndtnPAArfUWrfU164fbgOdSOaPA0ifj9OnTHD161HQU4WZu3LjBxx9/TOXKlWnevLnpOC4vKCgIrTWrVq0yHUXY2ezZs3n++efl1VoHkz17dlasWMGdO3do3LixrGQinsj169fZs2eP9MdIYWnSpKF+/fqsWrWK2NhY03GEYObMmXh5edGqVSvTUVKFTR1AlFJxQB6t9cVE+7MDF7XWHimQJR9wOsHHZ7CsivIwXYCE/11rYI1SSgOTtNaJR2sAoJTqBnQDyJUrFxEREU+T2Yjbt28bze3j4wPAhAkTaNSokbEcwjU96vr+4YcfuHTpEsOHD2fjxo2pG8wNxcfHkzVrVqZPn06BAgVMx3EZpn+HJ3bp0iXWr19Pu3bt5OfKQX388cd88skn1K9fnyFDhqCUMh3poRzt+hawZcsW4uPjyZIli3xvnlLi67tw4cJcu3aNH3/8kVdffdVcMOH2YmNjmTFjBpUqVeL3339/4sdxqt/hWuvHbkA8kDOJ/XmBe7Y8hg3neAOYmuDjdsD4hxxbCzgAZE+Yxfo2J/AbUONx5yxXrpx2RuHh4UbPHx8fr5977jn9xhtvGM0hXNPDru/9+/drT09P3bVr19QN5OY6deqkM2fOrKOjo01HcRmmf4cnNnr0aA3ow4cPm44iHuHB92nYsGGmozySo13fQusPPvhAp02bVt+7d890FKeX+Pq+ceOG9vT01P369TMTSAirFStWaECvWLHiqR7H0X6HA7/qhzyXf+TUEqXUh0qpD7GMduj+4GPr9hEwETiYQjWVM0D+BB8/B5xLItOrwFSgsdb6yoP9Wutz1rcXgZ+xTFURdqCUwt/fnw0bNsga9yJVaK3p1asXGTJkYOTIkabjuJWgoCBu3LjB1q1bTUcRdjJ79mwqVqxI0aJFTUcRj9CnTx86dOjAkCFD+Omnn0zHEU4kIiKCypUrky5dOtNRXE6mTJmoWbOmNMYWxs2YMYNnn32WevXqmY6Sah7XI+N966aAtxJ8/L7147RA9xTKshMoqpQqrJTyBt4EViQ8QClVAFgKtNNaH06w30cplfHB+0Ad4I8UyiWS4O/vz5UrV9i3b5/pKMINLF++nHXr1jF8+HCeffZZ03Hcir+/P2nSpGH9+vWmowg7+P3339m3bx9t27Y1HUU8hlKKSZMmUblyZdq3b8+ePXtMRxJO4OrVq+zdu1f6Y9hRUFAQ+/fv56+//jIdRbipK1euEBwcTNu2bd2qEf4jCxla68Ja68LARqDUg4+tWzGtdV2tdYqsCaa1jgXeA8KwTBtZpLXer5TqrpR6UCwZDGQHfky0zGouYLNS6jdgBxCqtV6dErlE0vz8/ADkyY2wu3v37vHBBx9QokQJevToYTqO28mSJQtly5aVJZdd1NKlS1FK0aJFC9NRhA3Spk3Lzz//TI4cOWjUqBEXLlwwHUk4uE2bNqG1xtfX13QUl9WgQQMAGZUhjJk/fz4xMTFus1rJAzatWqK1rqX/f7UQu9Far9Rav6i1fkFrPdK6b6LWeqL1/be01lm1ZYnVf5ZZ1ZaVTkpZtxIP7ivsJ1++fBQrVkye3Ai7GzNmDCdOnGDcuHF4etrUn1ikMD8/P7Zv386dO3dMRxEpLDg4mEqVKpEzZ07TUYSNcuXKxYoVK7h69SrNmzcnJibGdCThwCIjI0mbNi2vvSYzru2laNGivPjii7IMqzBmxowZlC5d2u0aztq8/KpSqqVSarJSaplSakXCzZ4BhePy9/cnMjJS/okSdnPq1Cm++OILXn/99X9GAYnU5+fnR0xMDL/88ovpKCIFnTt3jl27dtGwYUPTUUQylS5dmv/9739s2bKFESNGmI4jHFhkZCQVK1aU/hh21qBBA8LDw7l9+7bpKMLN/PHHH+zatcvtRmOAjYUMpdRoYA5QCLgOXEm0CTfk7+/P7du32bFjh+kowkV99NFHgGVUhjCnWrVqeHp6yggsF/Pg1UMpZDinN998kw4dOjBy5Eg2bdpkOo5wQLdu3WL37t3UqFHDdBSX16BBA6Kjo2XKtUh1kydPxtvbm9atW5uOkupsHZHRHmilta6jte6ote6UcLNnQOG4fH19UUrJL21hF+Hh4SxatIgBAwZQsGBB03Hcmo+PD5UqVZJChosJDg6mUKFClChRwnQU8YTGjx9P4cKFadu2LdevXzcdRziYLVu2EB8fL4WMVFCtWjUyZcok00tEqrp79y6zZs3i9ddfd8tm+LYWMtIAe+2YQzihbNmyUaZMGXlyI1JcbGwsPXv2pGDBgv+MyhBm+fn5sWvXLnmy5CLu3r3LunXraNiwIUop03HEE8qYMSNz587l7Nmz9OjRA6216UjCgWzatAkPDw8qV65sOorL8/Lyom7duoSGhhIfH286jnATCxcu5MaNG3TvnlKLiDoXWwsZkwFZm038h7+/P1u3buXu3bumowgXMnHiRP744w++/vpr0qdPbzqOwFLIiI+PJzIy0nQUkQLWrVvH/fv3ZVqJC6hYsSLDhg1jwYIFzJ4923Qc4UAiIyMpV64cGTJkMB3FLTRo0IDz58/L0sgi1UycOJGXX36ZatWqmY5ihK2FjCxAL6XUL0qpCUqpcQk3O+YTDs7f35/o6Gg2b95sOopwETdu3ODTTz8lICCApk2bmo4jrCpVqkS6dOlkBJaLCA4OJmPGjNSsWdN0FJECBgwYQI0aNXj33Xc5duyY6TjCAdy/f5/t27fLtJJUFBgYiFJKlmEVqWLPnj3s2LGD7t27u+3ISlsLGcWxTC2JBl4CSibYXrFLMuEUqlWrhpeXl/TJEClm6tSp3Lp1i++++85tfzE7orRp01KtWjUpZLiA+Ph4QkJCqFevHt7e3qbjiBTg4eHB7Nmz8fT0pE2bNrKamGDHjh1ER0dLISMVPfvss1SqVEn6ZIhUMWnSJNKnT0+7du1MRzHGpkKG1rrWIzZZE9GN+fj4UKVKFdatW2c6inABu3fvJjQ0lPfff5/ixYubjiMS8fPz4/fff+fixYumo4insGvXLi5cuCDTSlxMgQIFmDRpEtu3b2f48OGm4wjDHkwDrFq1quEk7iUoKIidO3dy4cIF01GEC7t16xZz586lZcuWZM2a1XQcY2wdkQGAUiqHUqqiUiqtvQIJ5+Pv78+ePXu4ckVW4hVPLi4ujnfeeYfMmTMzZMgQ03FEEvz8LHXriIgIs0HEUwkODiZNmjTUr1/fdBSRwlq0aEGnTp0YOXKk9LNxc5GRkZQsWZJs2bKZjuJWGjRoACDTS4RdzZ07l9u3b7ttk88HbCpkKKUyKqUWAxeBLUA+6/6JSqmh9osnnEFAQABaa8LDw01HEU5s3LhxbN++nXfffZcsWbKYjiOSUK5cOTJmzCjTS5xccHAwVapUIXv27KajCDsYN24cL7zwAm3btuXatWum4wgDYmJi2LJli0wrMeDVV1+lYMGCLF++3HQU4aK01kycOJHSpUvz2muvmY5jlK0jMr4C8gJlgXsJ9ocA0o3PzVWoUIGMGTNKnwzxxI4fP84nn3xCgwYN8Pf3Nx1HPISnpyc1a9aUQoYTO336NHv37pVpJS4sQ4YMzJs3j/Pnz9O9e3dZktUN7dmzhzt37kghwwClFE2aNGHNmjXcvn3bdBzhgnbs2MFvv/3G22+/7fa95GwtZDQCemut9wIJ/yIeAJ5P6VDCuTx4ciN9MsST0FrTtWtXPD09mTBhgtv/UnZ0fn5+HDlyhDNnzpiOIp7AgyZ0UshwbRUqVGD48OEsWrSImTNnmo4jUtmmTZsAqF69uuEk7qlp06ZERUWxevVq01GEC5o4cSIZMmSgTZs2pqMYZ2shIyuQVAOEjEBcysURziogIICjR49y8uRJ01GEk/nf//7Hhg0bGD16NM8995zpOOIxHvTJkKlkzik4OJgXXniBl156yXQUYWf9+vWjZs2avP/++5w+fdp0HJGKIiMjKVq0KHny5DEdxS1VrVqV7Nmzs2zZMtNRhIu5du0aCxcupE2bNmTMmNF0HONsLWTsxDIq44EHozLextIzQ7i5B9MBZHqJSI6zZ8/Sp08ffH196dq1q+k4wgYlS5Yke/bsMr3ECd25c4cNGzbQsGFDGfnkBjw8PJgxYwZxcXF8+OGHpuOIVBIfH8+mTZtkWolBnp6eNGrUiJCQEKKjo03HES5k9uzZ3Lt3j7ffftt0FIdgayFjIDBCKTUF8AQ+VEptANoBg+wVTjiPEiVKkCtXLilkCJtprenRowcxMTFMmTKFNGmStYiSMCRNmjT4+vqyYcMGmXvvZNauXUtUVJRMK3EjhQoV4pNPPuGnn35izZo1puOIVLB//36uXbsmhQzDmjZtyo0bN2SVL5FiHjT5fO211yhTpozpOA7BpmcOWustQBXAGzgG+APngMpa6932iyechVIKf39/1q9fL09uhE0WLVpEcHAwI0aMoEiRIqbjiGTw8/Pj1KlTHD9+3HQUkQzBwcFkzpxZ5s27mb59+1K0aFHee+89oqKiTMcRdvZg2V35OTcrICAAHx8fmV4iUsymTZs4cOCA2y+5mpDNL4FqrX/XWnfQWr+itS6utW6rtf7dnuGEcwkICODvv/9m//79pqMIB3f58mXef/99KlSoQK9evUzHEcn0oE+GTC9xHvHx8YSGhlKvXj28vLxMxxGpKG3atIwfP54jR44wZswY03GEnUVGRvLcc89RqFAh01HcWvr06alXrx7Lli0jPj7edBzhAiZNmkTmzJlp2bKl6SgOI1ljuZVS2ZRSLymliifc7BVOOJcHfTJk9RLxOL179+b69ev873//w9PT03QckUzFihUjT548UshwIjt37uTvv/+WaSVuqm7dujRv3pyRI0dy4sQJ03GEnWitiYyMpEaNGtIHxwE0bdqU8+fPs2PHDtNRhJO7dOkSP/30E+3bt+eZZ54xHcdh2FTIUEqVUUrtBS4B+4E/gN8TvBWCAgUKULRoUemTIR4pNDSUuXPnMnDgQEqWLGk6jngCSin8/PykT4YTCQ4OxsPDg8DAQNNRhCHffPMNSil69+5tOoqwk6NHj3LhwgXpj+Eg6tevj6enp0wvEU9txowZREdHS5PPRGwdkTENOAv4ASWAl4HiCd4KAVhGZURERBATE2M6inBAN2/e5O2336ZEiRIMHDjQdBzxFPz8/Lh48SJ//vmn6SjCBsHBwVStWpVs2bKZjiIMyZ8/P4MHD2b58uWEhoaajiPsYNOmTQBSyHAQWbNmpVatWvz8889S9BdPLD4+nsmTJ1O9enVKlChhOo5DsbWQURTopbXeqLU+qLU+lHCzZ0DhXAICArh9+zY7d+40HUU4oP79+3P+/HmmTZuGt7e36TjiKUifDOdx8uRJ9u3bJ9NKBB988AEvvfQSPXv25N69e6bjiBQWGRlJjhw5eOmll0xHEVZNmjTh8OHDHDhwwHQU4aQ2bNjA0aNHZTRGEmwtZGzGMvpCiEeqVasWSinpkyH+IyIigokTJ9K7d29ee+0103HEUypUqBCFCxeWQoYTCAkJAZBChsDb25vvv/+e48ePM2rUKNNxRAqT/hiOp3HjxgAyvUQ8sYkTJ5I9e3aaN29uOorDsbWQ0QV4RynVSynlr5SqkXCzZ0DhXLJly0bZsmWlT4b4l9u3b/PWW2/x/PPPM2LECNNxRArx8/MjIiKCuLg401HEIwQHB1O0aFGKFStmOopwAP7+/rRs2ZIvvviCY8eOmY4jUsjp06f566+/ZFqJg8mXLx8VK1bk559/Nh1FOKHz58+zfPlyOnXqRLp06UzHcTjJmVpSGvgGWAtEJNjCUz6WcGb+/v5s3bqVO3fumI4iHESvXr04fvw406dPl27LLsTPz4/r16/z22+/mY4iHuLWrVuEh4fLaAzxL2PHjsXLy4uePXvK3H0X8aA/RvXq1Q0nEYk1adKEX3/9ldOnT5uOIpzMlClTiI2NpVu3bqajOCRbCxmTgPVASSAn8GyCLad9oglnFRAQQExMzD9/VIV7W7JkCdOmTePjjz+WV4pcTK1atQDpk+HI1q5dS3R0tBQyxL/ky5ePoUOHsnLlSlasWGE6jkgBkZGRZMyYkVKlSpmOIhJp2rQpAMuXLzecRDiTO3fuMG7cOIKCgihatKjpOA7J1kLGc8AQrfV+rfVlrfWVhFtKhVFK1VNKHVJKHVVKDUjidqWUGme9fZ9Sqqyt9xWpp2rVqnh7e0ufDMGZM2fo2rUr5cuXZ+jQoabjiBSWJ08eXn75ZSlkOLDg4GCyZMlC1apVTUcRDqZnz56UKFGCXr16cffuXdNxxFOKjIykWrVqeHh4mI4iEilWrBgvv/yyTC8RyTJ16lSuXLnCxx9/bDqKw7K1kLEWKGfPIEopD+AHIBDLkq6tlFKJl3YNxDLNpSjQDZiQjPuKVPLMM89QtWpV6ZPh5uLj4+nQoQNRUVHMmzcPLy8v05GEHfj5+REZGSlLLjuguLg4QkNDCQwMlJ8/8R9eXl788MMPnDx5ks8//9x0HPEULl26xIEDB2TUowNr0qQJGzdu5MqVFHv9V7iw6Ohoxo4dS/Xq1eWFiEewtZCxGhirlPpMKdVSKdUs4ZZCWV4Djmqtj2uto4EFQONExzQGZmmLbUAWpVQeG+8rUpG/vz979+7l0qVLpqMIQ77++ms2bNjAuHHjZEicC/Pz8+POnTuy5LID2rFjB5cuXZJpJeKhatasSZs2bRg9ejRHjx41HUc8oc2bNwNIIcOBNW3a9J/ishCPM2/ePE6fPi2jMR7D1kLGj0A+YCAwH/gpwbY4hbLkAxJ2wTlj3WfLMbbcV6SigIAAAMLDpResO9qzZw8DBw6kWbNmdO7c2XQcYUc1a9ZEKSXTSxxQSEgIHh4e1KtXz3QU4cBGjx6Np6cnQ4YMMR1FPKHIyEjSpUtH+fLlTUcRD1G+fHny5csn00vEY8XHx/PVV19RqlQp+fv9GJ62HKS1trXg8TSSWvQ6cSvthx1jy30tD6BUNyzTUsiVKxcRERHJiOgYbt++7fC54+Li8PHxYdasWeTMKf1g3cn9+/d5++23yZw5M+3bt2fjxo3Jur8zXN/i34oUKcLSpUupVq2a6ShOIbWu8cWLF1OiRAlZVUY8VuPGjZk/fz4BAQEULlz4qR5LfoenvtDQUF5++WW2bNliOorLe5rru0KFCqxatYrVq1fLUprioTZt2sTBgwf59NNPk/0/dEpwpt/hNhUyUskZIH+Cj58Dztl4jLcN9wVAaz0ZmAxQvnx57evr+1ShTYiIiMAZcgcEBPD77787RVaRct555x1OnTrFunXr8Pf3T/b9neX6Fv+vYcOG/PDDD1SsWJH06dObjuPwUuMav3jxIkeOHOGzzz6TnyfxWCVLliQkJITQ0FB++umnp3os+R2eum7cuMGxY8f49NNP5eueCp7m+o6Li2PZsmXcv39fXmkXSdJa069fP1544QUGDx6Mp2fqP1V3pt/hNo20sK4W8o5Sar9S6q5S6nnr/gFKqRYplGUnUFQpVVgp5Q28CSReE2wF0N6apxJwQ2t93sb7ilTm7+/P8ePH+euvv0xHEakkODiYCRMm0Ldv3ycqYgjn5OfnR1RUFFu3bjUdRVg9WDWqTp06hpMIZ5A9e3Y++OADlixZwu7du03HEcmwZcsW4uPjqV69uuko4jFq1KhB1qxZZXqJeKgNGzawc+dO+vXrZ6SI4WxsnTLSCxiEZSRDwmkcZ4H3UiKI1jrW+lhhwAFgkdZ6v1Kqu1Kqu/WwlcBx4CgwBXjnUfdNiVziyT3okyGrl7iHCxcu0KVLF0qXLs1nn31mOo5IRdWrV8fDw0P6ZDiQsLAwsmfPTtmyZR9/sBDABx98QNasWRk8eLDpKCIZIiMj8fT0pFKlSqajiMfw8vKiQYMGBAcHy0pfIklffPEFuXPnpn379qajOAVbCxndga5a6++A2AT7dwMlUiqM1nql1vpFrfULWuuR1n0TtdYTre9rrfW71ttLaq1/fdR9hVkvvfQSefLk+eeVQeG6tNZ06tSJW7duMXfuXNKmTWs6kkhFmTJloly5ckbmcor/0lqzZs0aateujYeHh+k4wklkyZKFjz76iNDQULZt22Y6jrBRZGQk5cuXx8fHx3QUYYOmTZty7do1IiMjTUcRDmbnzp2sX7+eDz/8UHqo2MjWQkZB4I8k9scAMiFaJEkphb+/Pxs2bCA+Pt50HGFH33//PatXr2bs2LEUL17cdBxhgK+vL9u3b+fu3bumo7i9ffv2ceHCBZlWIpLt/fff59lnn+XTTz81HUXY4N69e+zcuVOWXXUidevWJX369Cxbtsx0FOFgvvzyS7JkyUL37t0ff7AAbC9kHAeSGp9aH/gz5eIIVxMQEMClS5f4/fffTUcRdrJv3z4++ugjgoKC6NGjh+k4whBfX19iYmKkT4YDWLNmDSD9MUTyZciQgQEDBrBu3Tqn6VrvzrZv305MTIwUMpzIM888Q506dVi2bBlaJ7nAonBDBw8e5Oeff+a9994jY8aMpuM4DVsLGWOA75VSbbD0yKislBoCjARG2yuccH4PGj5KnwzXdPv2bVq0aEG2bNmYNm0aSiW1ErJwB1WrVsXDw0OmlziAsLAwXnnlFfLly2c6inBCPXr0IE+ePHz66afyRMvBbdy4EaUUVatWNR1FJEPTpk05c+YMv/766+MPFm5h1KhRpEuXjp49e5qO4lRsKmRoracDQ4HPgWeA2cBbQE+t9UK7pRNO77nnnqNYsWLSJ8MFaa3p0aMHR44cYd68eeTMmdN0JGHQgz4Z8iquWXfu3GHTpk3UrVvXdBThpNKnT8+gQYPYvHkza9euNR1HPEJ4eDhlypQhS5YspqOIZGjQoAEeHh6yeokA4PTp08yePZu33nqLZ5991nQcp2LriAy01lO01gWBnEBurXV+rfX/7BdNuAp/f38iIyOJjo42HUWkoBkzZjBnzhyGDBniNOtNC/uqWbOm9Mkw7MHvWplWIp5Gly5dKFCgAIMGDZJRGQ7q3r17bN26lVq1apmOIpIpe/bs+Pn5MX/+fOkhJxg7diwAffr0MZzE+dhUyFBKlVBKvQqgtb6stb5o3f+qUko6+4lHCggI4M6dO2zfvt10FJFC9u/fz7vvvoufnx+ffPKJ6TjCQfj6+hIdHS0rHhgUFhZGunTpqF69uukowomlTZuWwYMHs3PnToKDg03HEUnYsmUL0dHRUshwUu3atePEiRP88ssvpqMIgy5fvsyUKVNo3bo1BQsWNB3H6dg6ImMy8EoS+4tbbxPioXx9fUmTJs0/DeiEc7tz5w4tWrQgY8aMzJ07V5Z3FP+oVq0aadKkkeklBoWFhVGzZk3Sp5cFxcTTad++PUWKFOHTTz+VV40dUHh4OB4eHlK0dFJNmzbFx8eH2bNnm44iDBo/fjx3796lf//+pqM4JVsLGa8CO5LYvxMomXJxhCvKmjUrlStXZuXKlaajiBTQs2dPDhw4wNy5c8mdO7fpOMKBPOiTIQ0/zTh16hQHDx6U/hgiRXh5eTF06FD27dvHkiVLTMcRiYSHh1O+fHkyZcpkOop4AhkyZKB58+YsWrSIe/fumY4jDLh16xbjx4+nSZMmFC8uExyehK2FjDggcxL7s2JZxUSIRwoKCmL37t2cO3fOdBTxFObMmcO0adP45JNPCAgIMB1HOKCaNWuybds2+cfMAFl2VaS0N998k+LFizN48GDi4uJMxxFWt2/fZseOHfj5+ZmOIp5C+/btuXHjhkzfclOTJ0/m2rVrDBgwwHQUp2VrIWMj8IlS6p8x5EopT+ATINIewYRrCQoKApBRGU7s4MGDdO/enRo1ajBkyBDTcYSDkj4Z5oSFhZEvXz55ZUekGA8PD4YNG8bBgweZN2+e6TjCavPmzcTGxkp/DCfn6+tLvnz5mDVrlukoIpVdu3aNL774An9/fypWrGg6jtOytZDRD6gOHFVKzVZKzQaOANWAj+wVTriOkiVLkj9/fkJDQ01HEU/g3r17tGzZkvTp0zNv3jw8PT1NRxIOSvpkmBEbG8u6deuoW7cuSslASZFymjVrRunSpRk6dCgxMTGm4whgw4YNeHl5UbVqVdNRxFPw8PCgbdu2rF69mr///tt0HJGKhgwZwrVr1/5ZsUQ8GZsKGVrrQ1j6ZMwDsgHZgblAKa31AfvFE65CKUVQUBBr164lKirKdByRTB988AH79u1j9uzZ5MuXz3Qc4cAyZ85M2bJlpZCRynbu3Mn169dlWolIcWnSpGHEiBEcP36cmTNnmo4jsPTHqFSpEs8884zpKOIptWvXjri4OBYsWGA6ikglf/zxBz/++CPdu3enVKlSpuM4NVtHZKC1Pq+1/kRrHaS1rq+1HqS1loYHwmZBQUHcuXOHyEiZjeRMFi5cyKRJk+jfvz/16tUzHUc4AV9fX7Zv3879+/dNR3Eba9asQSklvWuEXQQFBVG2bFlGjx4tK5gYdv36dXbv3i39MVxEiRIlKFeunEwvcRNaa3r16kWmTJkYPny46ThOz+ZCBoBSKq9SqpJSqkbCzV7hhGvx8/MjXbp0Mr3EiRw9epSuXbtSpUoVRowYYTqOcBI1a9YkKipK+mSkorCwMCpUqED27NlNRxEuSClFv379OHz4MCtWrDAdx61FRkYSHx8v/TFcSPv27dm9ezd//PGH6SjCzn7++Wc2bNjAZ599Jn+vU4BNhQxrASMCOAP8AkQA4Qk2IR7rmWeeoVatWoSEhKC1Nh1HPEZUVBQtW7bE09OT+fPn4+XlZTqScBLSJyN1Xbt2je3bt8uyq8KumjdvTqFChRg9erTpKG4tPDycdOnSUalSJdNRRAp588038fT0ZPbs2aajCDu6d+8eH374ISVLlqRbt26m47gEW0dkfItlCdbiwF0sjT/fAA4AMtZc2KxBgwYcO3aMw4cPm44iHqNfv37s3r2bGTNmUKBAAdNxhBPJkiULZcqUkUJGKtmwYQPx8fHSH0PYlaenJx9++CFbtmxhy5YtpuO4rQ0bNlC1alXSpk1rOopIITlz5qRevXrMmTNHljl2YWPGjOHkyZOMGzdOmuanEFsLGTWB/lrrg4AGLmmtlwL9ARlvLmz2YBlWmV7i2JYtW8a4cePo3bs3jRo1Mh1HOCFfX1+2bdsmfTJSQVhYGJkyZZIl3ITdde7cmWzZssmoDEMuX77Mvn37ZFqJC2rfvj3nzp0jPFwGuruiU6dO8cUXX/DGG2/g6+trOo7LsLWQkR64bH3/KpDT+v6fWFYzEcImBQsWpESJElLIcGAnT56kU6dOlCtXji+//NJ0HOGkHvTJ2L59u+koLk1rTVhYGP7+/jL9S9idj48P77zzDsuXL+fQoUOm47idB6PcpNGn62nYsCGZM2eWpp8uql+/fgBSBE5hthYyDgIvWd/fC3RXShUE3gXO2iGXcGFBQUFERkZy8+ZN01FEIjExMbRq1Yq4uDgWLlwoQ1fFE6tevTpKKZleYmeHDh3i1KlT0h9DpJr33nsPb29vxo4dazqK2wkPD8fHx4fy5cubjiJSWLp06WjZsiVLlizh9u3bpuOIFLRx40YWLlxI//79KViwoOk4LsXWQsZ3QG7r+8OBOsBx4B1goB1yCRcWFBREbGwsa9euNR1FJPLpp5+ydetWpk6dygsvvGA6jnBi0icjdaxZswZA+mOIVJMrVy46dOjArFmz+Pvvv03HcSsbNmygRo0aMvrKRbVv3567d++ydOlS01FEComNjaVnz54ULFjwn1EZIuXYVMjQWs/VWs+wvr8bKARUAAporRfbLZ1wSVWqVCFLliyEhISYjiISCAsL46uvvqJbt260aNHCdBzhAnx9fdm6dav0ybCjsLAwihYtSuHChU1HEW6kT58+REdHM378eNNR3Mb58+c5ePCg9MdwYVWqVOH555+X1UtcyJQpU9i3bx9jxowhffr0puO4HFtHZPyL1vqu1nq31vry448W4t88PT2pV68eK1euJD4+3nQcAZw7d4527drxyiuv8O2335qOI1yEr6+v9Mmwo6ioKCIiImRaiUh1L774Io0bN+bHH3+UYfCpRPpjuD6lFO3atWP9+vWcOXPGdBzxlK5evcqgQYOoVasWzZs3Nx3HJT20kKGUGmfrlpqBhWsICgri4sWL7Nq1y3QUtxcXF0fbtm25c+cOixYtkoqxSDEP+mRs3LjRdBSXtHnzZu7evSvTSoQRH330EdeuXWPatGmmo7iFDRs2kCVLFkqXLm06irCjdu3aobVm7ty5pqOIpzR48GCuX7/Od999h1LKdByX9KgRGSVt3F6xc0bhgurVq4dSSlYvcQAjR44kPDycH374gZdfftl0HOFCHvzTLX0y7GPNmjV4eXnJUHNhRJUqVahatSrffPMNsbGxpuO4vPDwcGrWrImHh4fpKMKOXnjhBapWrcqsWbPQWpuOI57Q77//zoQJE3jnnXcoWbKk6Tgu66GFDK11LRs3GeMmki1HjhxUqlRJChmGRUREMGzYMNq1a0eHDh1MxxEuSPpk2E9YWBhVq1YlQ4YMpqMIN/XRRx9x4sQJfvrpJ9NRXNqpU6c4duyYFC3dRPv27fnzzz/ZvXu36SjiCcTHx/P++++TNWtWhg0bZjqOS0t2jwylVAallPzXJJ5aUFAQv/76KxcuXDAdxS1dunSJ1q1bU6RIEX788UcZ9ibswtfXl/v377Njxw7TUVzKhQsX+O2336Q/hjCqYcOGFCtWjNGjR8urx3YUHh4OIIUMN/HGG2+QNm1aafrppL744gs2btzIV199RbZs2UzHcWk2FzKUUr2VUqeAG8ANpdRppdQHKgWe/Silsiml1iqljljfZk3imPxKqXCl1AGl1H6lVK8Etw1VSp1VSu21bvWfNpOwvwYNGgCwcuVKw0ncj9aaTp06cfXqVRYtWiSv6Aq7kT4Z9iHLrgpHkCZNGvr06cPu3bv/ebItUt6GDRvIkSMHr7wis7ndQdasWWnUqBHz5s0jJibGdByRDBEREQwePJhWrVrRuXNn03Fcnk2FDKXUKGAoMAmobd0mAoOBr1IgxwBgvda6KLDe+nFisUAfrfXLQCXgXaVU8QS3f6O1Lm3d5JmxE3j11Vd57rnnZHqJAT/++COhoaGMHj2aUqVKmY4jXFjWrFkpVaqU9MlIYWvWrOHZZ5+Vxn/CuHbt2pErVy5Gjx5tOopL0loTHh6Or68vadI80WKDwgm1a9eOS5cuERYWZjqKsNGFCxdo1aoVRYsWZdKkSTLSORXY+hvxLeAtrfVIrfUG6zYS6Ap0SYEcjYGZ1vdnAk0SH6C1Pq+13m19/xZwAMiXAucWhiilqF+/PmvXriU6Otp0HLexf/9++vbtS/369XnvvfdMxxFuwNfXly1bthAVFWU6ikuIj49nzZo11KlTR57YCOPSpUvH+++/z+rVq9m3b5/pOC7n2LFjnD59WpZddTP16tUjR44czJw58/EHC+Pi4uJo3bo1N27cYPHixWTMmNF0JLeQnP+AkvrrtC+Zj/EwubTW58FSsAByPupgpVQhoAywPcHu95RS+5RS05KamiIcU1BQELdu3WLTpk2mo7iFqKgoWrduTcaMGZk2bZpUi0WqkD4ZKWvPnj1cunRJ+mMIh9GjRw98fHwYM2aM6SguR/pjuCcvLy/atWvHsmXLOH36tOk44jGGDRtGeHg4P/74o6xSkoo8bTxuFvAu0CvR/h6ATZ1olFLrgNxJ3PSJjRkePE4GYAnQW2t907p7AjAC0Na3Y4EkJyYppboB3QBy5crllMOdb9++7ZS5k+Ll5YWXlxcTJ06UJcVSwY8//si+ffv4/PPPOXDgAAcOHDAd6T9c6foWFkoplFJMnz6duLg403GMe9prfM6cOQD4+PjIz4pwGHXr1mXevHnyhDuFLViwgOzZs3P+/Hlpju4AUvN/lIoVKzJu3Dg+/PBD3n333VQ5p0i+HTt28Nlnn1GvXj0KFSrk9H+Xnen/cGVLl2ml1ASgNXAe2GbdXRHIC8zF0r8CAK11z2SHUOoQ4Ku1Pq+UygNEaK2LJXGcFxAChGmtv37IYxUCQrTWj+2IVL58ef3rr78mN65xERER+Pr6mo6RYgIDAzl27BiHDx82HcWlrV27ljp16vDuu+/y/fffm47zUK52fQuL0qVLkyNHDtatW2c6inFPe43XrFmTW7duydJ8wqGcOHGCIkWK0Lx5cxYuXGg6jkvQWpMnTx78/f2ZO3eu6TiC1P8fpWPHjixevJiTJ0+SI0eOVDuvsM2ZM2coU6YMuXPnZvv27TzzzDOmIz01R/s/XCm1S2tdPqnbbJ0W8hKwG0sho6B1u2Dd9zJQ0ro9aTvlFUAH6/sdgOWJD7CujvI/4EDiIoa1+PFAU+CPJ8whDAgKCuLIkSMcOXLEdBSXdfnyZTp06MDLL78sDdmEEdInI2XcvHmTLVu2yLQS4XAKFSrEG2+8QWhoKLdv3zYdxyUcPHiQv//+W/pjuLF+/fpx9+5dh34Byl3FxMTQqlUr7t27x+LFi12iiOFsbCpkaK1r2bg96W/aL4HaSqkjWFZE+RJAKZVXKfVgBZKqQDvAL4llVkcppX5XSu0DagEfPGEOYUBQUBCArF5iJ1pr3nrrLa5cucK8efNInz696UjCDfn6+nLv3j127txpOopT27BhA7GxsdSrV890FCH+o1evXty5c0caFKaQDRs2ANIfw50VL16cxo0bM378eCkQOphBgwaxefNmJk+ezEsvvWQ6jlt6okadSqn0SqkApVTBlAihtb6itfbXWhe1vr1q3X9Oa13f+v5mrbXSWr+aeJlVrXU7rXVJ622NHjQOFc6hcOHCvPzyy1LIsJMpU6awfPlyvvjiC1mqURhTo0YNlFJOM+/SUa1evZoMGTJQuXJl01GE+I9KlSrx0ksvMW7cOOLj403HcXrh4eEUKFCAwoULm44iDBowYABXr15lypQppqMIq+DgYEaNGkX37t1p3bq16Thuy6ZChlJqhlLqHev73sAOYA1wSCkVaMd8wk0EBQWxceNGbt26ZTqKSzl48CC9e/emdu3a9O7d23Qc4cayZcvGq6+++k8HfpF8WmvCwsLw9/fH29vbdBwhktSsWTMOHz7MmjVrTEdxavHx8YSHh+Pn5ycrjLm5SpUq4evry9ixY4mOjjYdx+2dOHGCDh06UKZMGb755hvTcdyarSMy6vL/TT4bARmxrEAy1LoJ8VQaNGhATEwMa9euNR3FZURHR9OmTRueeeYZZsyYQZo0KbFSshBPzt/fn19++YV79+6ZjuKUjhw5wokTJ6Q/hnBovr6+5MmTh++++850FKf2+++/c/XqVZlWIgDLqIyzZ89K01fD7t+/T8uWLYmLi2PRokWkS5fOdCS3Zuszm6zARev79YAlWuuLwAKguD2CCfdSpUoVMmfOTEhIiOkoLmPw4MHs3r2bqVOnkjdvXtNxhCAgIICoqCh++eUX01Gc0urVqwGkkCEcmpeXFz169GD16tUcPHjQdByn9WD0mhQyBECdOnUoXbo0X331lUzbMuT+/fs0adKEnTt3Mn36dIoUKWI6ktuztZBxAXhFKeWBZXTGg/XzMgAx9ggm3IuXlxeNGjVi6dKl3L9/33QcpxceHs6oUaPo1q0bTZo0MR1HCACqV6+Ol5eXjLx6QmFhYRQtWpTnn3/edBQhHuntt9/G29ub8ePHm47itNavX0+RIkXInz+/6SjCASilGDBgAIcOHWLZsmWm47idB0WMNWvWMHXqVJo1a2Y6ksD2QsY0YCGWZU3jgPXW/RUBKbeLFNGuXTtu3LghozKe0vXr12nfvj1Fixbl66+/fvwdhEglD5pUrlu37vEHi3+5f/8+ERERMhpDOIWcOXPSunVrZs6cyfXr103HcTr37t1jw4YN8vMu/qV58+a88MILfPnll2itTcdxG4mLGJ07dzYdSVjZuvzqcKAzMBmoprV+0GkmFvjKTtmEm/Hz8yNv3rzMmjXLdBSn1qtXL86fP8+cOXPw8fExHUeIfwkICGDPnj1cvnzZdBSnsnnzZu7evSvLrgqn0bNnT+7cucO0adNMR3E64eHh3L17l4YNG5qOIhyIp6cnH330ETt37pTG2alEihiOzebuf1rrJVrrb7TWZxLsm6m1Xm6faMLdeHh40Lp1a1atWsWlS5dMx3FKP//8M7NmzWLgwIFUqFDBdBwh/iMgIACttfwTlkxhYWF4e3vj6+trOooQNilTpgzVq1dn/PjxxMXFmY7jVIKDg/Hx8ZGfd/EfHTp0IHfu3Hz55Zemo7g8KWI4vocWMpRSzZRSXgnef+iWenGFq2vXrh2xsbEsXLjQdBSnc/HiRd5++23Kli3LoEGDTMcRIkkVKlQgU6ZMMr0kmVavXk21atVklJVwKr169eLEiRMEBwebjuI0tNaEhIRQp04d0qZNazqOcDDp0qXjgw8+YO3atezatct0HJd1//59mjZtSlhYmBQxHNijRmT8hGW1kgfvP2xbbM+Awr28+uqrlCpVitmzZ5uO4lS01nTr1o2bN28ya9YsvL29TUcSIkmenp7UqlVLChnJcPbsWf744w+ZViKcTuPGjSlQoIAsxZoMe/fu5cyZMzKtRDxU9+7dyZw5s4zKsJMHRYzVq1dLEcPBPbSQobVOY11i9cH7D9s8Ui+ucAft2rVjx44dHDp0yHQUpzFr1iyWL1/OZ599RokSJUzHEeKRAgICOH78OMePHzcdxSmsWbMGkGVXhfPx9PTkvffeIyIign379pmO4xRCQkJQShEUFGQ6inBQmTJl4p133mHJkiUcPnzYdByXkriI0aVLF9ORxCPY3CNDiNTSunVr0qRJI6MybHTq1Cl69uxJ9erV+eCDD0zHEeKxAgICAGRUho1Wr15Nnjx5KFmypOkoQiRbly5dSJ8+PePGjTMdxSkEBwdTsWJFcubMaTqKcGC9evUibdq0jBo1ynQUlyFFDOdjUyFDKVVTKTVOKRWilApWSn2nlKpu73DCPeXJk4eAgADmzJlDfHy86TgOLT4+ns6dOxMXF8eMGTPw8JABUsLxFStWjHz58kkhwwZxcXGsXbuWunXropQyHUeIZMuWLRvt27dn7ty5slrRY5w/f56dO3fKtBLxWLly5aJz587MmjWLs2fPmo7j9E6ePEm1atWkiOFkHlvIUEp9B4QDbYDswLNAOyBCKfWtXdMJt9WuXTtOnjzJ5s2bTUdxaD/88APr16/n66+/5vnnnzcdRwibKKUICAhg/fr1Uqx8jF9//ZVr167JtBLh1Hr27Mn9+/eZPHmy6SgOLTQ0FIAGDRoYTiKcQd++fYmPj+ebb74xHcWphYWFUbZsWY4cOcKyZcukiOFEHlnIUEo1AN4B3gae1VpX1lpXAnJY97+jlJJJfCLFNW3aFB8fH5le8giHDx+mf//+BAYG0rVrV9NxhEiW2rVrc/XqVfbu3Ws6ikNbvXo1Silq165tOooQT6x48eLUrl2bH3/8kZiYGNNxHFZwcDAFChSQaWTCJoULF6Zly5ZMnDiR8+fPm47jdOLj4xkxYgSBgYHky5ePX3/9lcaNG5uOJZLhcSMyOgPjtNZTtNb/vGymtY7XWk8CfgCkbCVSnI+PD82bN2fx4sXcu3fPdByHExsbS/v27UmXLh1Tp06VIefC6fj7+wPSJ+NxwsLCqFChAtmzZzcdRYin0qtXL86ePcvSpUtNR3FI9+7dY926dTRs2FD+pgubDRkyhLi4OLp27YrW2nQcp3Ht2jUaNWrE4MGDadOmDVu3bqVo0aKmY4lkelwhozyWJVYfZpH1GCFSXLt27bhx44asP5+Er776iu3bt/Pjjz+SN29e03GESLbcuXPzyiuvSCHjEa5du8b27dtlWolwCYGBgRQpUkSWYn2I8PBw7t69K/0xRLK8+OKLfPnll4SGhjJ9+nTTcZzCnj17KFeuHGvWrOH7779n1qxZ+Pj4mI4lnsDjChnPAqcfcftp6zFCpLhatWqRN29emV6SyN69exk2bBgtW7bkzTffNB1HiCcWEBDApk2buH//vukoDmndunXEx8dTr14901GEeGpp0qTh/fffZ+vWrezcudN0HIcTHByMj48Pvr6+pqMIJ/P+++9Ts2ZNevfuzcmTJ03HcWjTp0+nSpUqREdHExkZybvvvisjoJzY4woZaYHoR9weA3inXBwh/p+Hhwdt2rRh9erVXLp0yXQchxAVFUX79u3Jnj07P/zwg+k4QjyVgIAA7t+/zy+//GI6ikMKCwsjc+bMvPbaa6ajCJEiOnbsSMaMGWUp1kS01oSEhFCnTh3Spk1rOo5wMmnSpGH69OlorencubM00U7C/fv36datG507d6ZKlSrs3r2bSpUqmY4lnpIty692V0p9mNQGdLd3QOHe2rVrR2xsLAsWLDAdxSEMHjyY33//nalTp8qceeH0atSogaenp0wvSYLWmtWrV1O7dm08PT1NxxEiRWTKlInOnTuzcOFCzp07ZzqOw9i7dy9nzpyRaSXiiRUuXJivv/6aDRs28OOPP5qO41C2b99OhQoVmDJlCgMGDCAsLIycOXOajiVSwOMKGaeATsD7D9k6Wo8Rwi5KlixJqVKlZHoJsGnTJkaPHk23bt0ICpLFgoTzy5gxI5UrV5ZCRhL+/PNPzp49K/0xhMvp2bMncXFxMqowgeDgYJRS8rddPJW33nqLevXq0b9/f44cOWI6jnF37tzhgw8+oHLlyly/fp3Q0FC++OILeXHAhTyykKG1LqS1Lvy4LbXCCvfUvn17du7cycGDB01HMebWrVt06NCBwoULM3bsWNNxhEgxAQEB7Nq1i6tXr5qO4lDCwsIApJAhXM7zzz9P06ZNmThxInfu3DEdxyGEhIRQsWJFeZVYPBWlFFOnTsXb25uOHTsSFxdnOpIxa9as4ZVXXuHbb7+lR48e7N+/n/r165uOJVKYLVNLhDCqVatWpEmTxq1HZfTp04cTJ04wc+ZMMmTIYDqOECkmICAArTXh4eGmoziU1atXU7x4cfLnz286ihAp7sMPP+Tq1avMnDnTdBTjzp8/z86dO2VaiUgR+fLlY/z48WzZsoWvv/7adJxUd/XqVTp27EjdunVJmzYtmzZt4ocffiBTpkymowk7kEKGcHh58uShdu3azJkzxy0bGIWGhjJlyhT69etHtWrVTMcRIkVVqFCBjBkzyvSSBO7evUtkZKSMxhAuq3LlylSsWJFvvvnGLf+uJxQaGgpAgwYNDCcRrqJNmzY0bdqUQYMGsX//ftNxUoXWmkWLFvHyyy8zd+5cPvnkE/bu3Sv/N7s4KWQIp9CuXTtOnTrFpk2bTEdJVZcvX6ZLly6ULFmSYcOGmY4jRIrz8vLC19dXChkJREZGEhUVJYUM4bKUUnz44YccPXqUkJAQ03GMCg4OpkCBApQsWdJ0FOEilFJMnDiRTJky0b59e2JiYkxHsquzZ8/SpEkTWrZsSYECBfj111/57LPPSJcunelows6kkCGcQpMmTfDx8XGr6SVaa7p3787Vq1eZPXu2LMkmXFZAQABHjx7lxIkTpqM4hNWrV5MuXTpq1KhhOooQdtOsWTMKFCjglsPfH7h37x5r166lYcOGKKVMxxEuJGfOnEyaNIndu3fz+eefm45jF3fv3uWzzz6jWLFirF27ljFjxrB161ZKlSplOppIJVLIEE7Bx8eH5s2bs3jxYu7du2c6TqqYN28eS5YsYcSIEfJLWbi02rVrA8ioDKuwsDBq1qxJ+vTpTUcRwm48PT3p1asXGzduZNeuXabjGBEeHs69e/ekP4awi2bNmtGmTRs+++wzl/oZi4+PZ+7cuRQrVoxPP/2UunXr8scff9CnTx9ZkcTNOEQhQymVTSm1Vil1xPo260OOO6GU+l0ptVcp9Wty7y+cW/v27bl58yYrVqwwHcXuTp8+zbvvvkvVqlXp27ev6ThC2NVLL71E3rx5pZABHD16lIMHDxIYGGg6ihB216VLFzJmzMg333xjOooRwcHB+Pj44OvrazqKcFHjx48nZ86cdOjQgfv375uO89R++eUXKleuTNu2bcmVKxcbN25kyZIlPP/886ajCQMeWshQSt1SSt20ZUuBHAOA9VrrosB668cPU0trXVprXf4J7y+clK+vL/ny5XP56SXx8fF06tSJ2NhYZs6ciYeHh+lIQtiVUoqAgADWr1/v9o3/li9fDkDjxo0NJxHC/jJnzsxbb73FwoULOXPmjOk4qUprTUhICHXq1JGpo8JusmbNytSpU9m/fz+1a9fm8uXLpiM9kb/++osWLVpQrVo1zpw5w8yZM9mxY4dMwXRzjxqR8R7wvo3b02oMPFiDaybQJJXvL5yAh4cHHTt2ZOXKlS7dhfnHH39k/fr1fP3117zwwgum4wiRKgICArh8+TL79u0zHcWon3/+mdKlS1OoUCHTUYRIFT179iQ+Pp7x48ebjpKq9u7dy5kzZ2RaibC7wMBA5s+fz86dO6lYsSIHDhwwHclmN27coH///rz00kuEhoYydOhQDh8+TPv27UmTxiEmFgiDHnoFaK1n2rqlQI5cWuvz1vOeB3I+LBawRim1SynV7QnuL5zcBx98QIYMGfj0009NR7GLQ4cO0a9fP+rXr0/Xrl1NxxEi1fj7+wPu3Sfj77//ZsuWLTRp0sR0FCFSTaFChWjevDmTJk3i9u3bpuOkmuDgYJRSBAUFmY4i3MCbb75JREQEt2/fpnLlyqxdu9Z0pEe6ceMGn3/+OUWKFGHUqFG0atWKw4cPM2TIEHx8fEzHEw5Caa1tP1gpP6A4loLCfq11RDLuuw7IncRNnwAztdZZEhx7TWv9nz4XSqm8WutzSqmcwFrgfa11pFLqui33t97WDegGkCtXrnILFiyw9VNwGLdv3yZDhgymYxgzY8YMZs6cycSJEylWrJjpOCkmLi6O9957j3PnzjFt2jSyZ89uOpIR7n59u7OOHTuSM2dORo0aZTqKXT3sGg8NDWXMmDFMnTpVRmMJp/Ukv8P//PNP3n33Xd5//32aNWtmp2SOpUePHqRJk4YffvjBdBSRDM7+P8qFCxf45JNPOHHiBD179nS4aYw3btxgyZIlLF26lDt37lCxYkU6derkUv/vOzpHu8Zr1aq1K1FLif+ntX7sBuQDdgBxwGnrFgdsB/La8hiPefxDQB7r+3mAQzbcZyjQ90nvr7WmXLly2hmFh4ebjmDUjRs3dLZs2XTdunVNR0lRAwYM0IBeuHCh6ShGufv17c569uyp06dPr+/fv286il097BoPCgrShQsX1vHx8akbSIgU9KS/wytXrqyff/55HRsbm7KBHNC5c+c0oEeOHGk6ikgmV/gf5ebNmzooKEgDumfPnjomJsZ0JH3u3Dndp08f7ePjowHdvHlzvWvXLtOx3JKjXePAr/ohz+VtnVw0zlq4KKK1zq+1zg8Ute4bZ+NjPMoKoIP1/Q7A8sQHKKV8lFIZH7wP1AH+sPX+wnVkypSJAQMGEBYWRmRkpOk4KSIkJIQvv/ySbt260aJFC9NxhDCidu3a3Lt3jy1btpiOkupu3brFunXraNKkCUop03GESHUffvghx48fd4uVyUJDQwFo0KCB4STCHWXMmJHly5fzwQcfMG7cOBo1asTNmymxdkPynThxgnfeeYfChQvzzTff0LRpU/bv389PP/1E2bJljWQSzsPWQkZt4F2t9V8PdmitjwM9rbc9rS+B2kqpI9bH+xIsU0mUUiutx+QCNiulfsMyOiRUa736UfcXruvdd98ld+7cfPLJJw9G6DitkydP0r59e0qXLs13331nOo4QxtSsWRMPDw+37JOxevVqoqKipD+GcFtNmjShUKFCfP3116aj2F1wcDAFChSgZMmSpqMIN+Xh4cHXX3/NxIkTWbNmDVWrVuXEiROpcu74+Hg2bdpEx44dKVq0KFOnTqV9+/YcPnyY2bNnU7x48VTJIZzf07Z7TZF18rTWV7TW/lrrota3V637z2mt61vfP661LmXdSmitRz7u/sJ1PfPMM3z66ads3ryZsLAw03GeWHR0NC1atCAuLo7FixeTLl0605GEMCZjxoxUqlTJ4ZuQ2cOyZcvIkSMHVatWNR1FCCM8PT3p3bs3mzdvZseOHabj2M2NGzdYu3YtDRs2lNFXwri3336b1atXc+bMGV577TVmzJjBlStXUvw88fHxbNmyhd69e5M/f35q1KjBokWLeOeddzh27BiTJ0+W3lAi2WwtZKwHximl8j/YoZQqAHxnvU2IVPfWW29RqFAhpx6V8dFHH7Fjxw6mT59OkSJFTMcRwri6devy66+/8vfff5uOkmqio6MJDQ2lUaNGeHh4mI4jhDGdO3cmU6ZMfPPNN6aj2M3cuXO5d+8eHTt2NB1FCMCy/Pm2bdvIkSMHnTp1IleuXPj5+TFu3DhOnTr1xI+rtWb79u306dOHQoUKUbVqVSZMmECFChWYN28ef//9N9999x358+d//IMJkQRbCxk9gWeA40qpk0qpE8Ax676edsomxCN5e3szZMgQdu/ezdKlS03HSbaffvqJcePG0bt3b7fp0i7E4zRt2hStNcuXu0+ro40bN3Ljxg2ZViLcXsaMGenWrRuLFy9+qidQjkprzaRJkyhbtizlyyfdhF8IE4oVK8b+/fvZuXMn/fv35++//6ZXr14ULFiQcuXKMWLECP74448kXziMiorizJkz7NmzhzVr1jB37lz69etH4cKFqVSpEuPHj6d06dLMnj2bixcvsmzZMlq1akXGjBkNfKbClSR3+dXawEuAAv7UWjv1ROby5cvrX3/91XSMZIuIiMDX19d0DIcQGxtLyZIlUUrx+++/O82rmUeOHKFcuXIUL16cyMhIvL29TUdyGHJ9uzetNcWKFeP5559n9erVj7+DE0p8jb/zzjvMnDmTy5cvkz59enPBhEgBT/s7/NSpUzz//PP07t2bMWPGpFwwB7Bt2zYqV67MpEmT6Natm+k44gm40/8ohw8fZtmyZSxbtoytW7cC8MILL/DSSy9x6dKlf7bbt2//576enp7UqVOHFi1a0LhxY7JkyZLK6cWTcrRrXCn10OVXPZPzQFrrtYD7TV4WDsvT05Phw4fTokUL5s2bR7t27UxHeqx79+7xxhtv4OXlxaJFi6SIIUQCSimaNm3K119/zfXr113+n5/4+HiWL19OvXr1pIghBFCgQAHeeOMNpkyZwuDBg8mUKZPpSClm0qRJZMiQgVatWpmOIsRjvfjii/Tr149+/fpx/vx5VqxYwbJlyzh37hzPPvssRYsWJUeOHDz77LP/2nLkyEG+fPlkxIWwO5sLGUqpIKA/UBzQwJ/AV1rrlY+8oxB21rx5c0qXLs3QoUNp2bKlwxcGevXqxW+//UZoaCgFChQwHUcIh9OsWTNGjRpFSEgIbdu2NR3Hrn799VfOnTsn00qESKBv374sWLCA7777jk8//dR0nBRx7do1FixYQIcOHeQJnnA6efLk4e233+btt982HUWIf9jUI0Mp9RbwM5a+GP2BAcBfwM9Kqc72iyfE46VJk4bPPvuM48ePM23aNNNxHmn27NlMmTKFjz/+mPr165uOI4RDqlChAvny5XPK3jfJtWzZMjw8PGjQoIHpKEI4jHLlytG4cWPGjBnD1auusRDd7NmzuX//vjwRFEKIFGJrs8/+wIda605a6/9Zt45AXyxFDSGMql+/PlWqVGHEiBHcu3fPdJwk7d+/n+7du1OzZk2GDx9uOo4QDitNmjQ0bdqU1atXc+fOHdNx7GrZsmX4+vqSNWtW01GEcCgjRozg1q1bLtEn40GTz9dee40yZcqYjiOEEC7B1kJGASCprmurgIIpF0eIJ6OUYuTIkZw7d44JEyaYjvMft2/f5o033iBDhgzMnz8fT89ktacRwu00a9aMe/fuERYWZjqK3Rw6dIgDBw7ItBIhklCyZElatmzJd999x8WLF03HeSq//PILf/75p4zGEEKIFGRrIeMUUDuJ/XWAkykXR4gn5+vrS0BAAF988QW3bt0yHecf9+/fp3nz5hw8eJD58+eTJ08e05GEcHjVq1cne/bsLj29ZNmyZQA0btzYbBAhHNTQoUO5f/8+X375pekoT2XixIlkypSJli1bmo4ihBAu45GFDKXUNKVURmAM8J1SaopSqpNSqqNSairwjfU2IRzCyJEjuXz5Mt9++63pKICliNG0aVPWrl3L1KlT8fPzMx1JCKfg6elJ48aNCQ4OJjo62nQcu1i2bBnlypUjf/78pqMI4ZCKFStGhw4d+PHHHzlz5ozpOE/kypUr/PTTT7Rr1w4fHx/TcYQQwmU8bkRGByC91noS0BJ4GUvhYizwEtBCaz3ZvhGFsN1rr732T4Owv/76y2iW+/fv06xZM1avXs3UqVPp3Fn64gqRHM2aNePmzZts2LDBdJQUd/78ebZt20bTpk1NRxHCoQ0ePJj4+HhGjhxpOsoTmTlzJlFRUTKtRAghUtjjChnqwTta65+11tW01tmtWzWt9XI75xMi2UaNGoWnpyf+/v7GXsGJioqiefPmrFq1iilTpkgRQ4gn4O/vT8aMGfn5559NR0lxy5db/nxKfwwhHq1QoUK89dZbTJ061fgLFMmltWby5MlUqVKFkiVLmo4jhBAuxZYeGdruKYRIQS+++CJhYWFcuXIFf39/Lly4kKrnf1DEWLlyJZMnT+att95K1fML4SrSpUtHUFAQy5YtIy4uznScFLVs2TKKFClC8eLFTUcRwuENGjQIT09Pp1vxa+PGjRw6dEhGYwghhB3YUsi4oJSKe9Rm95RCJFP58uVZtWoVZ8+eJSAggMuXL6fKeaOionj99dcJDQ1l0qRJdO3aNVXOK4Sratq0KRcvXmTLli2mo6SY27dvs2HDBpo0aYJS6vF3EMLN5c2bl3feeYdZs2Zx8OBB03FsNnHiRLJmzcobb7xhOooQQrgcWwoZ3YAWj9mEcDhVqlQhJCSEY8eOUbt2ba5du2bX80VHR/PGG28QEhLChAkT6Natm13PJ4Q7CAwMJG3atC61esmOHTuIiYmRaSVCJEP//v1Jnz49Q4cONR3FJhcvXmTp0qW0b9+e9OnTm44jhBAux5ZCRrDWesmjNrunFOIJ+fr6smzZMv7880/q1fs/9u47vKmy/+P4+0vLFtlbBARFEERW2VNkKstHBQeoDyq4Fw5wD1Sc+KggLlARRLaiILsMbUFAENkIigwRVDal9P79kdRfxQIpJDlJ+nld17nanJyc80l7U5Jv7tGOPXv2hOQ6KSkpXHnllXz++ee89dZb9OnTJyTXEcluChQoQJs2bRg/fjzOxcZIx/nz51OyZEkaNGjgdRSRqFGiRAnuvvtuPv30U5YvX+51nJMaPnw4R44c0bASEZEQOVkhIzZeNUq21rZtWz777DOWLFlCx44d2b9/f1DPn5KSwlVXXcWkSZN444036Nu3b1DPL5LddevWjZ9//pklS5Z4HeW0HT58mKSkJDp16kRcXJzXcUSiyn333UfBggV59NFHvY5yQmlpaQwbNoxmzZpRtWpVr+OIiMSkgFctEYlmnTp14pNPPmHhwoV07tyZgwcPnvY5nXPMnDnz714f//vf/7jtttuCkFZEMrrsssuIi4uLieEls2bN4sCBAxpWInIKChcuzP3338/kyZNJTk72Os5xzZo1iw0bNqg3hohICJ2wkOGcy+Gc+y1cYURC6YorrmD48OHMmjWL//znP6SkpJzSeZxzfP311zRt2pTWrVuzefNmPvzwQ26//fYgJxYRgKJFi9KiRYuYKGRMnDiRvHnz0qpVK6+jiESlu+66i2LFikV0r4yhQ4dStGhRLr/8cq+jiIjErEDmyBCJGddddx1vv/02X375Jd27d2fHjh0BP9Y5x9SpU2nUqBFt27Zl8+bNvPnmm2zYsIHrrrsuhKlFpFu3bqxevZpVq1Z5HeWUpaWlMWnSJBISEsiTJ4/XcUSiUoECBXjooYf4+uuvSUxM9DrOv2zfvp1JkyZx/fXXkzt3bq/jiIjELBUyJNu56aabeP3115kwYQKlSpWiXLlydO3alWeffZZp06b9a6lW5xxTpkyhQYMGtG/fnq1btzJ06FDWr1/PrbfeqjckImGQPhQjmntlzJs3jx07dtCkSROvo4hEtb59+1K6dGkeeeSRiJsE+P333yc1NVUrl4mIhFi81wFEvHDHHXfQsGFD5s+fz6JFi1i8eDETJ078+/4KFSpQt25dLrzwQiZPnszixYupUKECw4YNo1evXuTKlcu78CLZUJkyZWjYsCHjx49nwIABXsc5JW+//TYFCxakcePGXkcRiWr58uVjwIAB3H777UyZMoVLL73U60iAr9fVO++8Q6tWrTjvvPO8jiMiEtNUyJBsq27dutStW/fv23/99RdLlixh8eLFf29jx47lnHPO4b333uO6664jZ86cHiYWyd66detGv3792Lx5M+XLl/c6Tpb89ttvjB07lr59+5I3b16v44hEvd69ezNkyBB69+7N999/T8mSJb2OxLvvvsumTZsYNGiQ11FERGKehpaI+BUsWJCWLVvSr18/Pv30UzZs2MBff/3F2rVrufHGG1XEEPFY165dAZgwYYLHSbLugw8+4MiRI1rFQCRIcufOzaeffspff/1Fz549SUtL8zTPxo0buffee2ndurUm+RQRCQMVMkRO4MwzzyQuLs7rGCICVKpUiQsvvDDq5slIS0vj7bffpnnz5lSrVs3rOCIx44ILLuC1117j66+/5uWXX/Ysx9GjR7n++uuJi4vj/fffJ0cOvbwWEQk1/aUVEZGo0a1bN+bPn5+lFYe8Nn36dH766Sf69OnjdRSRmHPzzTdz+eWX079/f5KTkz3JMHjwYObNm8frr79OuXLlPMkgIpLdREQhw8yKmNl0M1vn/1o4k2OqmNmyDNseM7vbf98TZvZrhvs6hP1JiIhIyHXr1g3nHJMmTfI6SsCGDBlC8eLF6datm9dRRGKOmfHOO+9QpkwZevTowZ49e8J6/R9//JH+/fvTqVMnevbsGdZri4hkZxFRyAAeAmY6584FZvpv/4Nzbo1z7iLn3EVAHeAAkHGg9Kvp9zvnvgxHaBERCa/q1atTuXLlqBlesmXLFj7//HP++9//arUjkRApXLgwo0aNYvPmzdxyyy1hW5L1yJEj9OrVizPOOINhw4ZhZmG5roiIRE4hozMwwv/9CKDLSY6/GNjgnNscylAiIhJZzIxu3boxc+ZMdu/e7XWck3rnnXdwznHzzTd7HUUkpjVq1IinnnqK0aNH88EHH4Tlms899xyLFy9m6NChEbFqiohIdhIpy6+WdM5tA3DObTOzEic5vjsw6ph9t5tZT2AxcJ9z7o/MHmhmNwM3A5QsWZI5c+acVnAv7Nu3LypziwRC7VtO5rzzziM1NZWHHnqIq6++2us4x5Wamsqbb75JQkICmzdvZvNmX+1dbVximZftu379+tSqVYvbbruNuLi4kC7TvHbtWp566ikuvvhiihUrpn/T2YT+fkusi6Y2buHqfmdmM4BSmdw1ABjhnCuU4dg/nHP/mifDf18uYCtwgXNuh39fSeB3wAFPA6WdczeeLFPdunXd4sWLs/pUPDdnzhxatGjhdQyRkFD7lkC0bduW5cuXs2nTJnLnzu11nEyNHz+eyy+/nEmTJtGpU6e/96uNSyzzun1v3bqVmjVrUqZMGZKSksiTJ0/Qr3Ho0CHq1q3L7t27+eGHHyhSpEjQryGRyev2LRJqkdbGzew751zdzO4L29AS51xr51z1TLZJwA4zK+0PWxr47QSnag8sSS9i+M+9wzl31DmXBrwDJITyuYiIiLf69evH9u3b+fjjj72OclxDhw6lXLlydOzY0esoItlGmTJlGDFiBMuXL6dfv34hucbjjz/OypUree+991TEEBHxSKTMkTEZ6OX/vhdwounoe3DMsJL0IohfV+CHoKYTEZGIcvHFF1OrVi1eeukl0tLSvI7zL+vWrWP69OncdNNNxMXFeR1HJFvp0KED99xzD2+88UbQVzhasGABL774IjfffDPt27cP6rlFRCRwkVLIeB64xMzWAZf4b2NmZczs7xVIzCyf//5jp6sfZGYrzGw50BK4JzyxRUTEC2ZGv379WL16NVOmTPE6zr8MGzaMuLg4evfu7XUUkWzpueeeo06dOtxwww388ssvQTnnvn376NWrFxUqVOCll14KyjlFROTUREQhwzm3yzl3sXPuXP/X3f79W51zHTIcd8A5V9Q599cxj7/OOVfDOXehc65T+sShIiISu6644grKly/PoEGDvI7yD4cOHeKDDz6gS5culC5d+uQPEJGgy507N6NHj+bIkSPUq1ePd999l6NHj57WOR988EE2btzIBx98QIECBYKUVERETkVEFDJERESyKj4+nnvvvZf58+fzzTffeB3nb2PHjmXXrl307dvX6ygi2VrlypWZM2cOlSpV4qabbqJ27drMnDkzy+f55Zdf6N+/P2+99RZ33303zZs3D0FaERHJChUyREQkat14440ULlyYF1980esofxs6dCjnnnsuLVu29DqKSLZXp04d5s+fz5gxY9izZw+tW7emU6dOrFmz5oSPS0tL4+uvv6ZLly5UqFCB559/nssvv5xnn302TMlFROREVMgQEZGodcYZZ3DbbbcxceJE1q5d63UcVqxYwYIFC+jTpw85cui/WJFIYGZcccUVrFq1iueff545c+ZQvXp17rzzTnbt2vWPY3fv3s3LL79MlSpVaNu2LQsXLvx7SMnYsWPJmzevR89CREQy0qssERGJarfffju5cuXi5Zdf9joKQ4cOJXfu3PTq1evkB4tIWOXJk4cHH3yQ9evX07t3b958800qV67Mq6++yjfffMMNN9xA2bJluf/++ylVqhSffPIJv/zyCwMHDqRChQpexxcRkQxUyBARkahWsmRJrr/+ekaMGMGOHTs8y7Fv3z4++ugjrrrqKooWLepZDhE5sRIlSjBkyBC+//57EhISuPfee2nUqBFjx47lhhtuYPny5cybN48ePXqQO3dur+OKiEgmVMgQEZGod99995GSksL//vc/zzJ88skn7N27lz59+niWQUQCV716daZNm8b06dP54IMP2Lp1K2+99RY1atTwOpqIiJyEChkiIhL1zj33XLp06cJbb73Fvn37wn595xxDhgyhZs2aNGjQIOzXF5FT17p1a66//notqSoiEkVUyBARkZjwwAMP8Mcff/D++++H/dpJSUksW7aMPn36YGZhv76IiIhIdqJChoiIxIQGDRrQpEkTXnnlFVJTU8N23SNHjnDHHXdQtGhRrrnmmrBdV0RERCS7UiFDRERixgMPPMDmzZv57LPPwnbNp556isWLFzNs2DB1TRcREREJAxUyREQkZnTs2JHzzz+fQYMG4ZwL+fUWLlzIwIEDuf766+nWrVvIryciIiIiKmSIiEgMyZEjB/369WPZsmXMnDkzpNfau3cv1113HWeffTaDBw8O6bVERERE5P+pkCEiIjHlmmuuoXTp0gwaNCik17nnnnvYtGkTH330EWeeeWZIryUiIiIi/0+FDBERiSm5c+fmzjvvZPr06SQlJYXkGhMnTuS9997jwQcfpEmTJiG5hoiIiIhkToUMERGJOX369KFs2bJcdtll/Pjjj0E99/bt27npppuoXbs2TzzxRFDPLSIiIiInp0KGiIjEnEKFCjFr1izi4+Np1aoVa9asCcp5nXP897//Zd++fXz88cfkypUrKOcVERERkcCpkCEiIjHpvPPOY9asWTjnaNWqFevXrz/tc7799tt8+eWXvPjii1StWjUIKUVEREQkq1TIEBGRmHX++ecza9YsUlJSaNmyJRs3bjzlc61Zs4Z7772Xtm3bcttttwUxpYiIiIhkhQoZIiIS0y644AJmzJjBgQMHaNmyJZs3b87yOY4cOcK1115L3rx5ef/99zGzECQVERERkUCokCEiIjGvZs2aTJ8+nT179tCyZUt++eWXLD3+6aefZvHixQwbNowyZcqEKKWIiIiIBEKFDBERyRZq167N119/za5du2jVqhW//vrrSR9z8OBBxo8fz7PPPkuvXr24/PLLw5BURERERE4k3usAIiIi4VKvXj2mTZtGmzZtaNWqFXPnzqVUqVJ/3799+3YWLFjAggULWLhwIUuWLOHIkSNUqlSJ119/3cPkIiIiIpJOhQwREclWGjRowFdffUXbtm1p1aoVt99+O9988w0LFizgp59+AiBPnjzUq1eP++67j0aNGtG8eXPOPPNMj5OLiIiICKiQISIi2VDjxo2ZMmUK7du357bbbqNkyZI0btyY22+/ncaNG1OrVi1y5crldUwRERERyYQKGSIiki01b96cjRs3cuDAASpWrKiVSERERESihAoZIiKSbWWcH0NEREREokNErFpiZleY2UozSzOzuic4rp2ZrTGz9Wb2UIb9Rcxsupmt838tHJ7kIiIiIiIiIhJOEVHIAH4AugGJxzvAzOKAN4H2QDWgh5lV89/9EDDTOXcuMNN/W0RERERERERiTEQUMpxzq5xza05yWAKw3jm30TmXAowGOvvv6wyM8H8/AugSkqAiIiIiIiIi4qlomiOjLPBLhttbgPr+70s657YBOOe2mVmJ453EzG4GbgYoWbIkc+bMCU3aENq3b19U5hYJhNq3xDq1cYllat8Sy9S+JdZFUxsPWyHDzGYAmc2qNsA5NymQU2Syz2U1h3NuGDAMoG7duq5FixZZPYXn5syZQzTmFgmE2rfEOrVxiWVq3xLL1L4l1kVTGw9bIcM51/o0T7EFKJfh9lnAVv/3O8ystL83Rmngt9O8loiIiIiIiIhEoIiYIyNAi4BzzayimeUCugOT/fdNBnr5v+8FBNLDQ0RERERERESiTEQUMsysq5ltARoCU8xsmn9/GTP7EsA5lwrcDkwDVgFjnHMr/ad4HrjEzNYBl/hvi4iIiIiIiEiMiYjJPp1zE4AJmezfCnTIcPtL4MtMjtsFXBzKjCIiIiIiIiLivYjokSEiIiIiIiIiEggVMkREREREREQkaphzWV7BNGaY2U5gs9c5TkEx4HevQ4iEiNq3xDq1cYllat8Sy9S+JdZFWhsv75wrntkd2bqQEa3MbLFzrq7XOURCQe1bYp3auMQytW+JZWrfEuuiqY1raImIiIiIiIiIRA0VMkREREREREQkaqiQEZ2GeR1AJITUviXWqY1LLFP7llim9i2xLmrauObIEBEREREREZGooR4ZIiIiIiIiIhI1VMgQERERERERkaihQobHzKydma0xs/Vm9lAm95uZve6/f7mZ1T7ZY82siJlNN7N1/q+Fw/V8RDIKUft+0cxW+4+fYGaFwvR0RP4lFG08w/33m5kzs2Khfh4imQlV+zazO/z3rTSzQeF4LiKZCdHrlIvM7FszW2Zmi80sIVzPRySj02zf75vZb2b2wzGPiZz3mc45bR5tQBywATgHyAV8D1Q75pgOwFeAAQ2ApJM9FhgEPOT//iHgBa+fq7bst4WwfbcB4v3fv6D2rc2rLVRt3H9/OWAasBko5vVz1Zb9thD+DW8JzABy+2+X8Pq5asueWwjb+NdA+wyPn+P1c9WW/bbTad/++5oBtYEfjnlMxLzPVI8MbyUA651zG51zKcBooPMxx3QGPnQ+3wKFzKz0SR7bGRjh/34E0CXEz0MkMyFp3865r51zqf7HfwucFY4nI5KJUP0NB3gVeADQjNzilVC1777A8865wwDOud/C8WREMhGqNu6AM/3fFwS2hvqJiGTidNo3zrlEYHcm542Y95kqZHirLPBLhttb/PsCOeZEjy3pnNsG4P9aIoiZRQIVqvad0Y34KskiXghJGzezTsCvzrnvgx1YJAtC9Tf8PKCpmSWZ2VwzqxfU1CKBC1Ubvxt40cx+AV4CHg5eZJGAnU77PpGIeZ+pQoa3LJN9x376drxjAnmsiJdC2r7NbACQCow8pXQipy/obdzM8gEDgMdOM5vI6QrV3/B4oDC+bsz9gDFmltnxIqEWqjbeF7jHOVcOuAd475QTipy602nfUUGFDG9twTcOOt1Z/Lv72fGOOdFjd6R3C/J/VbdN8UKo2jdm1gu4FLjG+QfpiXggFG28ElAR+N7MNvn3LzGzUkFNLnJyofobvgUY7+/KnAykAZrQVrwQqjbeCxjv//4zfF38RcLtdNr3iUTM+0wVMry1CDjXzCqaWS6gOzD5mGMmAz39s8o2AP7yd+M50WMn4/sjiv/rpFA/EZFMhKR9m1k74EGgk3PuQLiejEgmgt7GnXMrnHMlnHMVnHMV8L3IqO2c2x62ZyXiE6rXKBOBVgBmdh6+Seh+D/mzEfm3ULXxrUBz//etgHWhfiIimTid9n0iEfM+M96rCws451LN7HZ8M9PHAe8751aaWR///UOBL/HNKLseOADccKLH+k/9PL6umv8FfgauCOPTEgFC2r7fAHID0/29kb91zvUJ3zMT8QlhGxfxXAjb9/vA+/4l/VKAXupZJ14IYRu/CRhsZvHAIeDmMD4tEeD02jeAmY0CWgDFzGwL8Lhz7j0i6H2m6f8OEREREREREYkWGloiIiIiIiIiIlFDhQwRERERERERiRoqZIiIiIiIiIhI1FAhQ0RERERERESihgoZIiIiIiIiIhI1VMgQERGRkDCz681sn4fXL2xmO8ysUpiu95KZvR6Oa4mIiGRnWn5VREREsszMTvYCYgTQFyjgnPstDJH+xcxeBIo5524I0/WKAxuAi5xzG8NxTRERkexIhQwRERHJMjMrleHmpcA7QOkM+w465/4Kb6r/Z2b5gF+By5xz88N43bHAT865fuG6poiISHajoSUiIiKSZc657ekb8Oex+5xzfx07tMTMnjCzH8ysl5ltMrN9ZvaBmeUys1vN7Bcz22Vmr5hZjgyPy2VmL5jZFjPbb2aLzKztSSJ2ANKABRnOk9PMXjezrWZ22H+957NyHTM738wmm9lf/vzfmFmNDIdMBnqcwo9UREREAhTvdQARERHJVioAnfH14igLjANKAduBNsD5wBh8BYhx/sd8AFQCrga24CtSfG5m9Zxz3x/nOk2B79w/u57eCXQFugObgLOAKhnuP+F1zKwMMN+f7RJ8BZwEIC7DOZKBsmZWyTm3IdAfioiIiAROhQwREREJpzjgBv+wkx/MbCrQHCjrnEsBVpnZAqAlMM4/UWcPoIJz7mf/Od4ws9bALcCtx7lOeWBbJvvWAvP8BY6fgYUAAV7nNmA/cIU/K/7zZbTV/7UCvvkyREREJMhUyBAREZFw+vmYuTN2AGszFAbS95Xwf18bMOBHM8t4ntzArBNcJ6//PBkNB6YDa83sa+BL4CvnXFqA16kFzD8m67EOZri+iIiIhIAKGSIiIhJOR4657Y6zL324Rg7/7XqZHHeQ4/sdKPyPkzq3xMwqAO2AVvhWVvnezC4J8DrGyRXxf90ZwLEiIiJyClTIEBERkUi2FF8BoZRzbnYWH3f9sTudc3uBz4DPzGw48C1QOcDrLAGuNbNcJ+iVUR1fIWRFFrKKiIhIFmjVEhEREYlYzrm1wEhguJn9x8zOMbO6Zna/mXU7wUOnAVXNrGj6DjO718x6mFlVM6uMb1LPPcCWAK/zFnAGMMbM6plZZf/5Lspw3ab45uA4ELQfgoiIiPyDChkiIiIS6W7At6LIIGA18AXQDNh8vAc451bgW0Gke4bde4F+/v1LgIuA9hmKDie8jnPuV//tXMBsfL047gBSM1yjB/DOqT5REREROTn756pkIiIiIrHBzNoBg4FqzrmjYbheR+BF4ELnXOrJjhcREZFTox4ZIiIiEpOcc1OBN4GzwnTJ/PiWllURQ0REJITUI0NEREREREREooZ6ZIiIiIiIiIhI1FAhQ0RERERERESihgoZIiIiIiIiIhI1VMgQERERERERkaihQoaIiMQcM6tgZs7MnvA4hzOz4V5myCoza+HPfX0sXEeyHzObY2abvM4hIiKho0KGiIicNjNr539T+nQm9zX033fYzPJlcv80M0szs2LhSZs9ZCjmpG9pZvaXma0xs9FmdoWZxXudUwJnZoXM7Akza5GFx7gAt4DPmYVr5zSzP8zsudM4x7Ht+IRbMPOLiEjk0gsYEREJhvlAKtAyk/ta+O/LBTQCZqTf4X8j3Qj4wTn3e+hjhl1e4KjHGaYDH/q/PwM4B7gUuApYYmZdnXM/Zzg+EV/uI2FNKYEoBDzu/35OgI+57gT3nQM8CfwOrDnlVMfXAl/mCadxjp38+zl0A7oCA4FVmTymDWCncU0REYlwKmSIiMhpc87tM7NFQIKZ5XPOHchwdwt8b6Yv8n8/I8N99fC9uZ4TjBxmFlFvwJ1zh7zOAKx1zn18zL4HzOxu4FVgipnVcs6lAjjn0oBIyC1BkMnvHgB/76hv8BXarnLObQvB5bsCW4FFp3oC59x+4B/Pwcwq+8893Tk3J5PHpJzq9UREJDpoaImIiATLbCAn0Dh9R4YeF3PxfdJ/bI+NFhkem/6YC81sgpntMrNDZvajmT1gZnEZH2hmw/3dyYub2ftmtgPYD5x1vIBm1tbM9prZPDMr7N83x8w2mdk5ZjbJP/xijz/DOZmcw8ysr5l9Z2YH/OebbWb/6o1yvDkyzKylmU3J8Bw3mtl7xw6vMbOrzGy+/xoHzCzJzP5zvOeXFc6514CRQHWge4Zr/mvuCv9zvtvMlvuz7PEPUXnPzHJmOG6T/+dZ28xmmdk+M9ttZiPMrMTJMplZDjMbYGaJZrbdzFLM7GczG2JmRY/zmMv9P/8//T+jNWb2upnlOib/SX9nGYYxPGFmV5rZMjM7aGbrzewG/zFnm9lY//Paa2Yfm1mBTHKV9uf+2f88tprZsGN/Dv5rOTOrYmYDzWyL+YZhfW9mHTL+XoCf/Dcft/8fTrHpZD/X43gfuBB40Dk360QHmll7/7XuPM7935jZzmPaggGdgYnOOeffV858/1Y3+5/jb2a20Mx6neJzOF7ef82RYf//77yC+f5t/2m+YS/DzewMf9vrb2Y/+f9NLjGzxpmcO6C2JCIioaVChoiIBEt6MaJFhn3pPS7m+rd6ZpY/w/0tAOe/DzOri+9T4pbAUKAfsAV4gf8fHnGs6UAZ4GngYWBfZgf53yx94T/+EufcHxnuzu/Pn+I/x3tAB2CBmZU65lQfAW8A64EHgCeAgsB0M+t0nIwZc9wCzMT3JnIIcAe+gkIdMhRhzOwZYDSwF3gUeAg4AHxmZred7DoBetf/teNJjnsEX++NTcCD+H4vE4CGQO5jjj0L3/PbiO/nMx7f0IDZlskcKcfI5T/3OuBF4E58v6//AnMyFicAzOxZYCxQwp/vbmAivt9dxmtl9Xd2KfC6P3s/fL+D983sGmCe/3Z/YAxwjf/aGXOdDSwG/gN8Atzmz9AdX5sqmMk1RwBNgZfw/b6LAxPNrIL//lXAPf7vJ+D7mV7nf85ZYmYP4Bta9Klz7uUAHvI1sA3omcm5zgUaAJ845zL2hqqP79/lRP9x8fh+l1fga9e3As8Da/E973DID8wC/sL372k80Avfv4P/4Ruy8j98w3fKAZ9nUqQ6rX//IiISJM45bdq0adOm7bQ3fPMqHAYWZtiXXliIB6riK1q08d8Xj+8N4bIMxy/AN5/GhRn2Gb43jA64OMP+4f59H2eSpYL/vif8tx/y334LyHHMsXP89712zP6u/v1DM9l38zHHxuN74/oTYBn2O2B4httn+X9GPwKFMsmdw/+1tv+xAzM5ZiKwByhwkt9H+s/gjRMcU8R/zHcZ9rXw77s+w74lwI8BtIFN/sfefcz+e/z7HzrJdQzIm8l5/+s/9soM+xL8+2YBeY453tJ/D1n5nWX4me0Hymc4tji+4TZpwL3HnGc8vgLYGRn2TQJ+A8465ti6+Nr3Exn2PeG/5hfHtJ16/v3PHa9dn+K/09b+DMuB/Fl43Iv+a1c7Zv/T/v21j9n/AvAHkNN/+0L/cQ+cavZMfmYtjnP/HGBTJvsc0C+T31+avy3kzLC/k//4WzLsy9K/f23atGnTFrpNPTJERCQonHMHgSSgboZeFy2ABc65VOfcKnxv7lr470vvrTEbwN/lvhEw2Tm3PMN5Hb5J/cD3RuJYL50gVg4zewN4DnjUOXer880BkZnnj3k+E/BNgNglw+5r8RVfJppZsfQN34SGn+N7o3nuCfJcga/XwZPOuT+PvTNDtmvwvWEakfE6/mtNBgrg6w1xuvb4v555kuP+AsqaWZMAzznkmH1v+fdn9vv7m/M5CGBmceZbpaMYvmIF+D7lT3eN/+vD7pi5SPznSV/B4lR+ZxOdc5sznG8nvraQBrx5zLHz8A2pquDPXRBfj47JwKFjrrkJ3yf5bTJ5+oMzZMY5t8if+0TtKUv8vTvSe/l0db75JwI1wv/1714Z/uEj1+KbrHfJMcd3Aaa4/++l8Zf/a8tjh9eE0VF8PS4ymoev8DXU/bNHyTz/14w//9P99y8iIkGiyT5FRCSYZuPrJt7EzGbiK0xkXHox4zwZLfxf5/i/VvR/XZnJeX/E9ybyX3NW4Ouafjx343vTP8A5N/AEx/3pnNueyf5VQBczy+9/01fVf74dJzhXyRNkSn+Ts/QEj8d/HQNWn+Q6pyu9gLHnhEf5hlFMBOaZ2VZ8v7MpwFj374kVNzrnDmfc4Zw7bGYbyfz39w9mdiVwH1ALX4Ego8IZvj8XX7Hn+5Oc8lR+ZxszOeYPYNuxz82/HyB9Do8q+Ibu/te/ZSaz82e2b3eG854W802EOwHfz/Ay59yGrDzeOfeDmS0FrjGz/v6iWzN8b977HXOtasB5+NpN+uM3+4cCPQxsM7Nl+IYgfeYv2oTDtmOLXvz/7++njDudc3/46jT/+Pmf7r9/EREJEhUyREQkmGYDj+ErUuzh/+fHSDcXeNXMzvAfk4avuAGnuFyi++cKKceaju/N1i1mNto5l9mbRfC9Ic7MsZkM33KQV5/gmj+c4L708x3vehmPc0B7jr98a2YFn6y60P/1hEtvOue+MbNKQFt8haiW+H4Gj5hZE+fc7oyHH+c0J/39mlk34FMgGbgL+AXfkI44YCr/nNsr/Wd00tOS9d/Z8X7mJ1pK1475+jH/34vhWAezcO5gLSP6Lr6Vgx51zn15iucYAbwGtMK3+lBPfLlHHnNcV3y/t6kZdzrnHjGz9/HNydIU6A30M7NBzrkHTzFTVpzo9xfIz/90//2LiEiQqJAhIiLB9A2+NzAt8RUyDvLPpRfn4vu/pwW+1U2Wuf+fdDO9yHBBJuc9H9+b2OMVIo5nBb7Cykxgrpm1cs6ty+S4wmZWKpNeGecDv2Xogr8O3yfN3zrnMp1U9CTSCwa1/Oc6nnVAO+Bn/5CcUOnt/zrlZAf6n+84/4aZ3YpvmMV/8c2fkK6SmeXK2FPDzHLj63Fzoh4m4Ju88hDQMmOByszOz+TYNfh+RhfiK3wcz+n+zrJqPb4CSy7n3IyTHZxFgRRu/sXM7sX35nsS8OxpXP8TfL/rnma2AN9kptPdv5duTV8a9V9DV/zFxP8B/zOzPMA0fMsBv+yc++00soVDuNuSiIgch+bIEBGRoPF3u/8G3woclwLfHDP04AdgF76u6Pn5/2El+N/ELAQuM7Pq6fv94/Af9t+ccAqZVuIrnMThK2Zk9qYYfBOC/s3MuuIbJjAxw+4P8f3fmXG4TMbHnGy4x1h8E0M+bmb/mpfC/1zBtzICwEA7ZtlZ/3GnPceAmd2Fb56J5fh6QZzo2GKZ7E6fE6HIMfvPxLciRUa3+vdPPEmso/jerP/9+sT/M3kkk2M/8X8d6C+UHJs5/Wd5ur+zLHHO7QK+BLqZWYPMcplZ8VM8ffqb52N/5sflXxZ0EL7hDj0zzsORVf65Qr7Ct7rHNfh+p//odWJm5fD9+59wzP6ClmF5Vv/5DuEbvgX/HDYUqcLalkRE5PjUI0NERIJtNr4eGY3wLWP4N+ecM7N5/P8EmrOPeexd+HptzDOzN4Ht+AoibfEt7zjzVAI551abWXN8k0bOMbOL/QWOdL/je+NZBl9x5Vx8b7534FshIf08Y83sA+B2M6uNb6WJ3/GtRtIQqMwJ5oFwzm0xs7vx9WRYYWYfApuBskBn4EZ8vVQWmdnjwJPAMjP7DNgKlMb3JrEDvklDA3GemV3r/z4fUAnfz7Qa8B3QxTmXepJzrDKzb/FN5pqe42Z8RZnRxxy7AV+hprr//HX8z2s1viVNT2QscDkwy/+zyYmvrfxr2VbnXLKZvYBvOdjvzOxTfO2lIr6eAgn45j45rd/ZKeoLzAcS/c9jKb43wOfg+z1/SIZ2FSjn3C4zWw90N7MN+Nrnfufc55kdb2al8a34E4fvZ9vp/+s7/7I84yS7JzAC34oeL+ObwHPSMfd3xVeQOjZTS2CYmY3D15tmH7620RtIcs6dcHhTJPCoLYmISCZUyBARkWDLWJyYm8n9c/G9OT3K/68MAIBzbrGZNcL3Bv5WfL02NuJ7s/ry6YRyzq3LUMyYbWatM7xx249v3P+r+FYvMXzj++87ttu8c+5GM5uN7438w/gKCtvx9VB4mJNwzg3xvwntB9wJ5MZXHJiJb06I9OOeMrPv/Mfcje9n8Ru+Xi13ZeGpX+LfHL43j+lZnwAmBFDEAN/PvoM/S0F/jm/xLQ167GSbW4Ar8a0m0wNfsWMkcP/JVslwzo02swL4lmt9Cd9EjJ/j6y2zK5PjHzKz74HbgQfwFQt+wdcj4kCG407rd5ZVzrlfzKwOvnbbGd9qF4f82T7HV1w4Vdfga6cD8RV4NvPvokG6KkB6b5r+xzkm3ZP4eueczBf4JiEtArybvspMBl2A+c6534/Z/z2+pU5b4HsOccDP+J7Haf3bDqdwtyUREclc+rrpIiIi2ZKZzQEqOOcqeBwl6pnZJmCTc66Fx1HEA2ZWFF8vkfudc695HEdERGKY5sgQERERkWAoCjzD6fU4EREROSkNLRERERGR0+acW8spzP0hIiKSVeqRISIiIiIiIiJRQ3NkiIiIiIiIiEjUyNZDS4oVK+YqVKjgdYws279/P/nz5/c6hkhIqH1LrFMbl1im9i2xTO1bYl2ktfHvvvvud+dc8czuy9aFjAoVKrB48WKvY2TZnDlzaNGihdcxREJC7Vtindq4xDK1b4llat8S6yKtjZvZ5uPdpzkyRERERERERCRqqJAhIiIiIiIiIlFDhQwRERERERERiRoqZIiIiIiIiIhI1FAhQ0RERERERESihgoZIiIiIiIiIhI1VMgQERERERERkagRUYUMM3vfzH4zsx+Oc7+Z2etmtt7MlptZ7Qz3tTOzNf77HgpfahEREREREREJl4gqZADDgXYnuL89cK5/uxkYAmBmccCb/vurAT3MrFpIk4qIiIiIiIhI2EVUIcM5lwjsPsEhnYEPnc+3QCEzKw0kAOudcxudcynAaP+xIiIiIiIiIhJD4r0OkEVlgV8y3N7i35fZ/vqZncDMbsbXm4OSJUsyZ86ckAQNpX379kVlbpFAqH1LrFMbl1im9i2xTO1bYl00tfFoK2RYJvvcCfb/e6dzw4BhAHXr1nUtWrQIWrhwmTNnDtGYWyQQat8S69TGo8eqVauYMGEC48eP5/DhwyQmJlK4cGGvY0U0tW+JZWrfEuuiqY1H1NCSAGwBymW4fRaw9QT7RURERALinGPx4sX079+fqlWrUq1aNQYMGECOHDlYvXo1vXv3xrlMPycRERGRMIq2QsZkoKd/9ZIGwF/OuW3AIuBcM6toZrmA7v5jRURERI7r6NGjzJ07l7vuuovy5ctTr149Bg0aRJkyZXjjjTfYsmULycnJPPfcc4wfP56hQ4d6HVlERCTbi6ihJWY2CmgBFDOzLcDjQE4A59xQ4EugA7AeOADc4L8v1cxuB6YBccD7zrmVYX8CIiIiEjWcc1x66aVMnTqVPHny0KZNG5566ikuu+wyihYt+o9j7733XmbOnMk999xD48aNufDCCz1KLSIiIhFVyHDO9TjJ/Q647Tj3fYmv0CEiIiJyUlOnTmXq1Kk8+uijPPDAA5xxxhnHPTZHjhyMGDGCmjVrctVVV7F48WLy588fxrQiIiKSLtqGloiIiIictrS0NPr370/FihV55JFHTljESFeiRAk+/vhj1qxZw5133hmGlCIiIpIZFTJEREQk2/nss89YtmwZTz31FLly5Qr4cRdffDH9+/fn/fff55NPPglhQhERETkeFTJEREQkWzly5AiPPvoo1atXp0ePE45qzdQTTzxB48aN6dOnD+vXrw9BQhERETkRFTJEREQkWxk+fDjr1q3j2WefJS4uLsuPj4+P55NPPiEuLo7u3buTkpISgpQiIiJyPCpkiIiISLZx8OBBnnzySRo0aMBll112yuc5++yzef/99/nuu+94+OGHg5hQRERETkaFDBEREck2hgwZwq+//srAgQMxs9M6V9euXbntttt45ZVXmDJlSpASioiIyMmokCEiMWflypVccMEFlC5d+l9bmTJl/t7Kly/Pp59+6nVcEQmTPXv2MHDgQC655BJatmwZlHO+9NJLXHjhhVx//fX8+uuvQTmniIiInFi81wFERIIpLS2Nm266iR07dnD55Zf/4z7n3D9uJyUl0bt3bxo0aED58uXDGVNEPPDKK6+wa9cuBg4cGLRz5smTh08//ZQ6depw7bXXMmPGjFOad0NEREQCp0KGiMSUd955h2+++YYRI0bQs2fPEx67adMmatSowU033cS0adNOu5u5iESunTt38vLLL3P55ZdTt27doJ77/PPP57XXXuPmm2/m66+/pn379kE9v4iIiPyThpaISMzYvn07Dz74IC1btuS666476fEVKlTgxRdfZPr06bz77rthSCgiXnnuuec4cOAATz/9dEjO37NnTwoWLMjo0aNDcn4RERH5fypkiEjMuPfeezl48CBDhgwJuHfFLbfcQqtWrbjvvvv4+eefQ5xQRLzwyy+/8NZbb9GrVy+qVq0akmvkzp2bbt26MWHCBA4dOhSSa4iIiIiPChkiEhOmTZvGqFGj6N+/P1WqVAn4cWbGe++9h3OO3r17/2seDRGJfk8++STOOR5//PGQXqdHjx7s3buXL7/8MqTXERERye5UyBCRqHfw4EFuvfVWzjvvPB566KEsP15DTERi15o1axg+fDh9+vQJ+aS+LVu2pHjx4hpeIiIiEmIqZIhI1HvmmWfYuHEjQ4cOJXfu3Kd0jptvvllDTERi0GOPPUaePHkYMGBAyK8VHx/PFVdcwRdffMHevXtDfj0REZHsSoUMEYlqK1euZNCgQfTq1YuWLVue8nly5MjBe++9R1pamoaYiMSIJUuWMGbMGO655x5KlCgRlmt2796dgwcP8vnnn4fleiIiItmRChkiErXS0tK45ZZbOPPMM3nppZdO+3waYiISWx555BGKFCnC/fffH7ZrNm7cmLPOOkvDS0REREJIhQwRiVrvv/8+CxYs4KWXXqJYsWJBOadWMRGJDZs3b+arr77innvuoWDBgmG7bo4cObjqqquYOnUqu3fvDtt1RUREshMVMkQkKu3YsYN+/frRrFkzrr/++qCdN0eOHLz77rsaYiIS5SZOnAj4hnqEW/fu3Tly5AgTJkwI+7VFRESyg5MWMsyskJndaGYjzGyumSWb2RQze9rMGoUjpIjIse677z7279/P0KFDMbOgnrtixYoMGjRIQ0xEotj48eOpXr06lStXDvu169SpQ6VKlTS8REREJESOW8gwszJm9i6wDRgA5AIWA18Dm4HmwHQz+9HMrgpHWBERgBkzZjBy5EgeeughqlatGpJr9OnTh5YtW2qIiUgU2rlzJ/Pnz6dr166eXN/M6NGjB7NmzWLHjh2eZBAREYllJ+qRsQz4A6jrnKvknOvhnLvPOfeIc+5W51wzoBjwNHCvmYVvJi0RybYOHjxI3759qVy5Mv379w/ZdTKuYhLOiQJF5PRNnjyZtLQ0zwoZ4BtekpaWxmeffeZZBhEREQDnHKmpqV7HCKoTFTIucM71c86tPN4BzrmDzrlRzrn6wIjgxxMR+ae3336b9evXM2TIEPLkyRPSa1WsWJE+ffowYcIEdu7cGdJriUjwTJgwgfLly3PRRRd5luGCCy6gevXqGl4iIiJhd/ToUZYtW8b//vc/rrzySsqWLcuIEbH1dv24hQznXJZetWf1eBGRUzF69Ghq165N69atw3K9Xr16kZqayqhRo8JyPRE5PXv37mX69Ol07do16PPnZFX37t1ZsGCBhqeJiEhIHTp0iMTERAYOHEj79u0pUqQItWrV4s477+Tbb7+lZcuWVKxY0euYQRUf6IFmVgpoBJTgmAKIc+6tIOcSEfmXLVu2kJSUxLPPPhu2a9aoUYNatWoxYsQI7rzzzrBdV0ROzVdffUVKSoqnw0rSde/enUceeYQxY8ZoiJqIiATdzz//zPXXX8+CBQtISUkBfD0Ce/ToQdOmTWnatClnn322xylDI6BChpldC7wLGL55MzKuR+gAFTJEJOTGjx8PwOWXXx7W615//fXcdddd/PDDD1SvXj2s1xaRrJkwYQLFixencePGXkehUqVK1KtXj1GjRqmQISIiQXf33XeTlJTEXXfdRZMmTWjcuDFFixb1OlZYnHT5Vb9ngUFAfudcKedc6QxbmWCFMbN2ZrbGzNab2UOZ3N/PzJb5tx/M7KiZFfHft8nMVvjvWxysTCISOcaNG8cFF1xAlSpVwnrdHj16EB8fH3NjC0VizeHDh5kyZQqdOnUiLi7O6ziAr1fGkiVLWLt2rddRREQkhsycOZMJEyYwYMAABg0aRKdOnbJNEQMCL2ScCQx3zoVsqlMziwPeBNoD1YAeZlYt4zHOuRedcxc55y4CHgbmOud2Zzikpf/+uqHKKSLe2LFjB/PmzeM///lP2K9dvHhxOnbsyMcffxxzMz6LxJJZs2axd+/eiBhWku7KK6/EzPj000+9jiIiIjEiNTWVu+66i4oVK3Lvvfd6HccTgRYyRgIdQxkESADWO+c2OudSgNFA5xMc3wPQ7Hsi2cTEiRNxzoV9WEm6Xr16sX37dr7++mtPri8iJzdhwgTOOOMMLr74Yq+j/O2ss86iadOmjBo1CufcyR8gIiJyEkOHDmXlypW8/PLLIV/FL1IFOtnnvcBEM7sYWAEcyXinc+6pIGQpC/yS4fYWoH5mB5pZPqAdcHvGGMDXZuaAt51zw47z2JuBmwFKlizJnDlzTj95mO3bty8qc4sE4njt+5133uGss87i999/96T9n3HGGZx55pm8+OKL5MuXL+zXl9ihv+GhcfToUcaOHUvdunX59ttvvY7zD7Vr1+a1117j/fffp1KlSl7HCSm1b4llat8SCf766y/69+9P7dq1KVSoUFDbZDS18UALGbfgKxz8DlTm35N9BqOQkdkaacf76OIyYMExw0oaO+e2mlkJYLqZrXbOJf7rhL4CxzCAunXruhYtWpxm7PCbM2cO0ZhbJBCZte9du3axbNky+vXrR8uWLb0Jhq9XxrBhw6hZsyaFCxf2LIdEN/0ND4358+fzxx9/cMstt0Tcz7datWr873//Y8OGDfz3v//1Ok5IqX1LLFP7lkhw2223ceDAAUaMGBH0SeijqY0HOrTkUeA+51wJ51x151yNDNuFQcqyBSiX4fZZwNbjHNudY4aVOOe2+r/+BkzAN1RFRGLA5MmTOXr0qGfDStL16tWLw4cPM2bMGE9ziMi/TZgwgVy5ctGhQwevo/xLiRIluPjiixk9erSGl4iIyClbsWIFQ4cOpW/fvtl+Jb1ACxlxwORQBgEWAeeaWUUzy4WvWPGva5pZQaA5MCnDvvxmViD9e6AN8EOI84pImIwbN47y5ctTp04dT3PUrl2b6tWrM3z4cE9ziMg/OeeYMGECF198MWeeeabXcTLVo0cPfvrpJxYtWuR1FBERiULOOe666y4KFSrEk08+6XUczwVayPgAuCaUQfwrotwOTANWAWOccyvNrI+Z9clwaFfga+fc/gz7SgLzzex7IBmY4pybGsq8IhIee/bsYfr06Vx++eWYZTYCLXzMjF69evHtt9+yZs0aT7OIyP9bvnw5P/30U0StVnKsLl26kCtXLkaN0jzlIiKSdRMmTGD27Nk8/fTTFClSxOs4ngu0kJEPuNfMFpjZEDN7PeMWrDDOuS+dc+c55yo555717xvqnBua4Zjhzrnuxzxuo3Oupn+7IP2xIhL9vvjiC1JSUjwfVpLummuuIUeOHHz44YdeRxERvwkTJmBmdOrUyesox1WoUCHat2/Pp59+ytGjR72OIyIiUeTgwYPcd9991KhRg5tvvtnrOBEh0EJGVWApkAKcD9TIsGXvwTkiElJjx46lTJkyNGjQwOsoAJQuXZq2bdvy4Ycf6s2ISISYMGECjRs3pmTJkl5HOaHu3buzbds25s2b53UUERGJIq+88gqbNm1i8ODBxMcHul5HbAuokOGca3mCrVWoQ4pI9rR//36mTp1K165dyZEj0Lpr6F1//fVs2bKF2bNnex1FJNvbuHEjy5cvj+hhJekuvfRS4uPjmTZtmtdRREQkSmzZsoWBAwdy+eWXe7p6X6SJnHcGIiLH+Oqrrzh48GDEDCtJ16lTJwoVKsSIESO8jiKS7U2YMAEgKgoZZ5xxBvXq1WPu3LleRxERkSjx4IMPcvToUV588UWvo0SUgAoZZpbbzO4xs8lm9q2ZJWfcQh1SRLKncePGUaxYMZo2bep1lH/IkycPV111FePHj2fv3r1exxHJ1iZMmEDNmjWpWLGi11EC0rx5cxYtWsT+/ftPfrCIiGRrCxYs4JNPPqFfv35R8/9cuATaI+Md4FFgFzAHmHnMJiISVIcOHeKLL76ga9euETkWsFevXhw4cICxY8d6HUUk29q+fTsLFy6Mit4Y6Zo1a0ZqairffPON11FERCSCpaWlcdddd1G2bFkeeughr+NEnEDfHXQCOjvn1BdSRMJi+vTp7Nu3L+KGlaRr0KAB5513HsOHD+eGG27wOo5ItjRp0iScc1FVyGjcuDE5cuQgMTGR1q1bex1HREQi1MiRI/nuu+8YOXIk+fPn9zpOxAm0R8ZvwO+hDCIiktHYsWMpVKhQxE5qZGb06tWLxMREfvrpJ6/jiGRLEyZM4JxzzqFGjRpeRwnYmWeeSe3atTVPhoiInNCIESM499xz6dGjh9dRIlKghYz+wEAzKxzKMCIiACkpKUyePJlOnTqRK1cur+Mc13XXXYeZ8eGHH3odRSTb+euvv5g1axZdu3bFzLyOkyXNmjUjKSmJQ4cOeR1FRIJs7969OOe8jiFRbteuXcyZM4f//Oc/Ufd/XLgEWsj4GsgL/GZmv5jZxoxbCPOJSDY0e/Zs/vzzz4gdVpKuXLlytGrVig8//FAvWkTCbMqUKRw5ciSqhpWka968OYcPHyY5WfOli8SKI0eO8PTTT1O0aFGaN2/O0qVLvY4kUWzy5MkcPXo04l8LeynQQsaHwAXAa8Bg4M1jNhGRoBk3bhxnnHEGbdq08TrKSV1//fVs3LiR+fPnex1FJFuZMGECJUuWpGHDhl5HybKmTZtiZhpeIhIjvv/+e+rXr89jjz3GJZdcwqpVq6hTpw4333wzv/32m9fxJAqNGzeO8uXLU7t2ba+jRKxACxmXAN2cc/2ccy85517OuIUyoIhkL0ePHmXixIlceuml5MmTx+s4J9W1a1fOOOMMhg8f7nUUkWzj4MGDfPXVV3Tu3JkcOQJ9KRM5ChcuzIUXXqhChkiUS0lJ4cknn6Ru3bps3bqV8ePHM2XKFNatW8fdd9/NBx98wLnnnssrr7xCSkqK13ElSuzZs4fp06fTrVs3DSs5gUD/9/8ZOBzKICIiACtWrGDnzp1R05Uuf/78XHHFFYwdO1YvUkTCJDExkf3799O5c2evo5yyZs2asXDhQv3dEIlSS5cuJSEhgSeeeIKrrrqKlStX/j3UrVChQrzyyiusWLGCRo0acd9991GjRg2+/PJLj1NLNJgyZQopKSlR81rYK4EWMu4BBplZ5VCGERFJTEwkb968tG/f3usoAevSpQt79uzR8BKRMJk9ezbx8fE0a9bM6yinrHnz5hw8eJDvvvvO6ygikgUpKSk89thjJCQksGPHDiZOnMjHH39M0aJF/3Xs+eefz1dffcWUKVMA6NixIx07dmTNmjXhji1RZNy4cZQqVSoqh06GU6CFjM+AFsAaMztgZnsybqGLJyLZSVpaGomJibRr1y6q1su++OKLyZ07N1988YXXUUSyhdmzZ5OQkMAZZ5zhdZRTll6E0fASkeixZs0a6taty9NPP83VV1/NypUrA+oZ1qFDB1asWMHLL7/M/PnzqV69Om+//XYYEku0OXDgAF999RVdu3aNyqGT4RToT+d24CbgRqAvcMcxm4jIafv222/ZtWtX1HWly58/Py1atPj7ExcRCZ09e/bw3Xff0bJlS6+jnJbixYtTtWpVFTJEosTMmTO59dZb2bVrF59//jkjRoygSJEiAT8+V65c3Hvvvaxbt45mzZpx//338/vvv4cwsUSjadOmceDAgah7LeyFgAoZzrkRJ9pCHVJEsofx48cTHx/PpZde6nWULOvYsSNr165l/fr1XkcRiWnz5s3j6NGjUV/IAN/wkgULFpCamup1FBE5gYMHD3LLLbdQtmxZfvjhh9N6nVKiRAneeOMNDhw4wPPPPx/ElBILxo0bR5EiRWjevLnXUSLecQsZZlYgKyfK6vEiIseaPn06NWvWpGDBgl5HybKOHTsCqFeGSIjNnj2bXLly0ahRI6+jnLbmzZuzd+9eli1b5nUUETmB559/ng0bNnDXXXdRuHDh0z5f1apV6dmzJ2+88QZbtmwJQkKJBSkpKXz++ed07tyZ+Ph4r+NEvBP1yFhnZo+Y2VnHO8DMcphZezObDtwW/Hgikl38+eefrFixggsvvNDrKKfknHPOoWrVqipkiITY7NmzadiwIXnz5vU6ymnTPBkikW/t2rU8//zzXH311dSpUydo53388cdJS0vjmWeeCdo5JbrNnDmTPXv2aFhJgE5UyGgKXAhsNLPFZjbUzB43swfN7HkzmwxsB4YCY4FBYcgrIjFqwYIFOOeoUaOG11FOWceOHZk7dy579+71OopITPrjjz9YunRpTAwrAShTpgyVK1dWIUMkQjnnuPXWW8mbNy8vv/xyUM9doUIFbr75Zt577z02bNgQ1HNLdBo3bhwFChSgdevWXkeJCsctZDjn1jnnrgQqAaOAUkAX4AagCbAZ3+SfFZ1zbzvn0kIfV0Ri1bx588iZMydVq1b1Osop69ixIykpKcyYMcPrKCIxKTExEedczBQywDe8ZN68eaSl6WWUSKQZNWoUM2fOZODAgZQqVSro5x8wYAA5c+bkiSeeCPq5JbqkpqYyadIkLr30UnLnzu11nKhw0sk+nXO/OOdeds51cc7Vcs6d75xr4py7wzn3hQoYIhIM8+bNo06dOuTJk8frKKescePGFCxYUMNLREJk1qxZ5MmTh/r163sdJWiaN2/+99A6EYkcf/75J/feey/16tXjlltuCck1SpcuzZ133snIkSP54YcfQnINiQ7z5s3j999/17CSLNDitCLiuYMHD7Jo0SKaNm3qdZTTkjNnTtq0acOXX36Jc87rOCIxZ/bs2TRu3DimPq3SPBkikWnAgAHs3LmToUOHEhcXF7LrPPDAAxQoUIBHH300ZNeQyDdu3Djy5s1Lu3btvI4SNVTIEBHPJScnc+TIkagvZIBveMm2bdtYunSp11FEYsrOnTtZsWJFTA0rAShfvjzly5cnMTHR6ygi4pecnMyQIUO4/fbbqV27dkivVaRIEfr168fEiRNJTk4O6bUkMqWlpTFhwgTatWtH/vz5vY4TNVTIEBHPzZ8/H/ANzYh27du3x8w0vEQkyNJ7LMRaIQN8w0vS5/8QEW+lpqbSp08fSpUqxdNPPx2Wa951110UL16cAQMGhOV6ElmSkpLYunWrhpVkkQoZIuK5efPmUb16dYoUKeJ1lNNWokQJEhIS+OKLL7yOIhJTZs+eTf78+alXr57XUYKuWbNm7Ny5k1WrVnkdRSTbe+utt1i6dCmvvfYaZ555ZliuWaBAAfr378+MGTOYNWtWWK4pkWPcuHHkzJmTjh07eh0lqkRUIcPM2pnZGjNbb2YPZXJ/CzP7y8yW+bfHAn2siESmo0ePsnDhwpgYVpKuY8eOLFq0iN9++83rKCIxY/bs2TRp0oScOXN6HSXomjdvDmieDBGvbd26lUceeYS2bdtyxRVXhPXaffr04ayzzmLAgAHqnZWNOOcYP348rVu3plChQl7HiSonLGSY2aNmVukE9xc2s6CUDc0sDngTaA9UA3qYWbVMDp3nnLvIvz2VxceKSIT5/vvv2bt3L02aNPE6StB07NgR5xxfffWV11FEYsL27dtZtWpVTA4rAahUqRJlypTRPBkiHrvnnntISUnhzTffxMzCeu08efLw2GOP8e2336pXZzaybNkyfvrpJw0rOQUn65HxJJBsZq2Pc38uoHmQsiQA651zG51zKcBooHMYHisiHpo3bx5ATPXIqFWrFqVLl9Y8GSJBMmfOHCA258cAMDOaN2/O3Llz9UmsiEemTZvGmDFjGDBgAJUqHfdz3JC6/vrrqVy5MgMGDCAtLc2TDBJe48aNI0eOHHTq1MnrKFEnPoBjJgFfmtmDzrlXQ5ilLPBLhttbgMwWim9oZt8DW4H7nXMrs/BYzOxm4GaAkiVL/v3iKJrs27cvKnOLZGb8+PGULFmSDRs2sGHDhphp37Vq1eLLL79kxowZxMcH8qdWsotYaePhNHLkSPLly8fevXtj9mdXqlQptm3bxsiRIznrrLO8jnPK1L4lGh0+fJgbb7yRcuXKUb9+/eO24XC07+7du/PMM8/w+OOPc/HFF4f0WuK9jz/+mJo1a7Jy5UqvowDR9Tf8ZK+uHfAQMBMYZmYXATf5ez0EW2b9t479WGIJUN45t8/MOgATgXMDfKxvp3PDgGEAdevWdS1atDjVvJ6ZM2cO0Zhb5FjOOVavXk2bNm3+btOx0r7/+OMPvvzyS+Li4mLi+UjwxEobD6ebb76Zli1bxvSL+pIlS/Lqq69y+PDhqG4fat8SjQYOHMjWrVuZOXMmrVq1Ou5x4WjfzZo1Y9KkSYwePZrHHnssJucFEp9Vq1axefNm+vXrFzF/N6Ppb/jJhpYYgHNuJNAMaAEkmlnpEGTZApTLcPssfL0u/uac2+Oc2+f//ksgp5kVC+SxIhJ51q1bx2+//RZTw0rStW7dmly5cml4ichp+vXXX1m3bl3MDitJd/7551O8eHFN+CkSZgcPHuTVV1+lQ4cOJyxihEuOHDl49tlnWb9+PcOHD/c6joTQuHHjAOjSpYu3QaJUwKuWOOe+A+oBKcB3Zpbp0I3TsAg418wqmlkuoDswOeMBZlbK/DPvmFkCvvy7AnmsiESeWJwfI12BAgVo3ry5Chkip2n27NlA7M6Pkc7MaNasmQoZImE2fPhwfv/9dx588EGvo/zt0ksvpUGDBjz33HOaNyeGjR8/noYNG1K2bFmvo0SlkxUy/vEvxzn3G9AK37wZc4AbgxXEOZcK3A5MA1YBY5xzK82sj5n18R/2H+AH/xwZrwPdnU+mjw1WNjl1zjlGjRrFhRdeyFVXXcWSJUu8jiQRZP78+RQrVozzzz/f6ygh0bFjR1avXs3GjRu9jiIStWbPnk3hwoWpWbOm11FCrnnz5vz8889s2rTJ6ygi2cLRo0d5+eWXqV+/fkR9qGJm3Hzzzfz000967RyjNm7cyNKlS7VayWkIaGhJRs65VOdcX+Au4PFghnHOfemcO885V8k596x/31Dn3FD/92845y5wztV0zjVwzi080WPFW8uWLaNZs2ZcffXVpKWlMXXqVOrUqcMll1zCjBkzVGEW5s2bR5MmTcK+xFm4dOzYEUC9MkROw+zZs2nevDlxcXFeRwm55s19C8FpGVaR8JgwYQIbNmygX79+Efda5LLLLiMuLo7x48d7HUVCIP332q1bN4+TRK9All/dl9kd/kkzLwZGBDuURLddu3Zx6623UqdOHVavXs0777zD999/z88//8wLL7zADz/8wCWXXEK9evUYM2YMR48e9TqyeGDbtm1s2LCBJk2aeB0lZCpXrsx5552n9eBFTtHmzZv56aefYn5YSbrq1atTuHBhDS8RCQPnHIMGDaJy5coROUdBsWLFaN68uQoZMerzzz+nZs2aVKxY0esoUeuEhQzn3JPOuQMnuH+Bcy5ow0skuh09epQhQ4Zw3nnnMWzYMG6//XbWrl1L7969iYuLo2DBgjzwwANs2rSJd955hz179nDVVVdRpUoVhg4dyqFDh7x+ChJGsTw/RkYdO3Zkzpw57NuXaU1YRE4gu8yPkS5Hjhw0bdpUhQyRMJg7dy6LFi3i/vvvj9geX926dWP16tWsWrXK6ygSRIcOHSIpKYnWrVt7HSWqBTzZp8iJzJs3jzp16nDrrbdSs2ZNli5dyuDBgylcuPC/js2dOze9e/dm1apVjB07liJFitC3b1/Kly/PmDFjPEgvXpg3bx758uWjVq1aXkcJqY4dO5KSksLMmTO9jiISdWbPnk2xYsW44IILvI4SNs2bN2fDhg38+uuvXkcRiWmDBg2iRIkS9OzZ0+sox5XeU0S9MmLLokWLOHz4cMx/mBdqKmTIadm3bx/XXHMNzZo1Y/fu3YwZM4aZM2dSo0aNkz42Li6Oyy+/nKSkJGbNmkW5cuW48cYb+eWXX8KQXLw2b948GjZsGPProzdt2pQCBQpongyRLHLOMXv2bFq0aEGOHNnn5YrmyRAJveXLl/PVV19x5513kjdvXq/jHFfZsmVp2LChChkxJv3veywPrw6H7PPKQILOOcctt9zC6NGjefTRR1m9ejVXXHFFlidLMjNatmzJ2LFjSUtL4+677w5NYIkYf/75J8uXL88WlehcuXLRpk0bpkyZogluRbJg48aN/PLLL9lmWEm6mjVrUqBAARUyRELopZdeIn/+/PTt29frKCfVrVs3lixZotWMYsi8efOoXr06RYsW9TpKVFMhQ07ZBx98wCeffMKTTz7JU089Rb58+U7rfBUqVODRRx9l/PjxfPnll0FKKZFo4cKFOOeyRSEDfMNLtm7dyrJly7yOIhI1stv8GOni4+OpX78+SUlJXkcRiUm//PILo0aN4qabbqJIkSJexzmprl27Ar4VViT6paamsmDBApo1a+Z1lKgXUCHDzDaa2b9KRmZWyMw2Bj+WRLqVK1dy++23c/HFF/Pwww8H7bz33Xcf559/PnfccQcHDx4M2nklssyfP5/4+HgaNGjgdZSwaN++PaBlWEWyYvbs2ZQqVYrzzz/f6yhhl5CQwPLly/X/oEgIvPbaazjnoqYHcKVKlahZsybjxo3zOooEwbJly9i3b58KGUEQaI+MCkBm0/nmBsoGLY1EhQMHDnDllVdSoEABPv7446DO9JwrVy7eeustNm7cyHPPPRe080pkSZ8c9nR78USLUqVKUbduXRUyRAKUcX6MrA5XjAUJCQkcPXqUpUuXeh1FJKb88ccfDBs2jO7du1O+fHmv4wSsW7duLFy4kG3btnkdRU5T+rDB7NIrOZROWMgws25m1s1/s2P6bf92BfAksCnUISWy3HXXXaxatYqPP/6YUqVKBf38LVu25JprruGFF15g7dq1QT+/eOvQoUMkJydnuwmOOnbsSFJSEjt37vQ6ikjEW7NmDdu2bct2w0rSJSQkAJCcnOxxEpHYMnToUPbt20e/fv28jpIl3bp1wznHpEmTvI4ipykxMZFKlSpRpkwZr6NEvZP1yBjr3xzwXobbY4GPgZbAfaEMKJHlk08+4d133+Xhhx/mkksuCdl1XnrpJfLkycNtt92mCRJjzKJFi0hJScl2legOHTrgnGP69OleRxGJeNl1fox0pUuXply5cponQySIDh06xODBg2nbti01a9b0Ok6WXHDBBZx77rlavSTKpaWlMW/ePA0rCZITFjKcczmcczmAn4ES6bf9W27nXBXn3BfhiSpeW7duHbfccguNGzfmySefDOm1SpUqxbPPPsuMGTMYM2ZMSK8l4TVv3jwg+y05VadOHYoWLcrUqVO9jiIS8WbPnk3ZsmWpXLmy11E8k5CQoB4ZIkH00UcfsWPHDh544AGvo2SZmdGtWzdmz57N7t27vY4jp2jVqlXs3r1bhYwgCWiODOdcRefc76EOI5Hr0KFDXHnlleTKlYtRo0YRHx8f8mv27duX2rVrc88997Bnz56QX0/CY968eVSrVi3bLTkVFxfHJZdcwtdff01aWprXcUQilnOOOXPm0LJly2w5P0a6hIQENm7cyO+/6+WXyOk6evQoL730EnXq1Inanl7dunUjNTWVL77QZ8jRKn1+DBUygiPg5VfNrL6Z9Tez18zs9YxbKANKZOjXrx/Lli1j+PDhlCtXLizXjIuLY8iQIWzfvp3HH388LNeU0Dp69CgLFy7MdsNK0rVr144dO3bw/fffex1FJGKtXLmSnTt3Ru2bjWBJnydj0aJFHicRiX6TJ09m7dq1PPDAA1FbIK1bty5nnXWWhpdEscTERMqWLUvFihW9jhITAl1+9X7gG+B64CKgRoateoiySYSYMGECb7zxBvfccw+XXXZZWK+dkJDALbfcwuuvv86yZcvCem0JvuXLl7Nnz55sW8ho06YNANOmTfM4iUjkmjNnDpB958dIV6dOHcxMw0tETpNzjkGDBnHOOefQrVu3kz8gQuXIkYOuXbsybdo09u3b53UcySLnHImJiTRr1ixqi2mRJtAeGXcBdzrnznPOtXDOtcywtQplQPHWpk2buPHGG6lbty7PP/+8JxkGDhxI0aJFufXWW9UlP8rNnz8fyL5LTpUuXZqaNWuqkCFyAomJiZx99tnZ/hOrAgUKUK1aNRUyRE7TggUL+Pbbb7n33nvDMjQ6lLp168ahQ4c031YU2rhxI1u3bs22r4FDIdBCxpnAl6EMIpHnyJEjdO/enbS0NEaPHk2uXLk8yVG4cGFeeuklvvnmG95//31PMkhwzJs3j3LlynH22Wd7HcUzbdu2Zf78+ezdu9frKCIRJ+MnVvL/E35q9S6RUzdo0CCKFi3KDTfc4HWU09akSROKFSum4SVRSPNjBF+ghYxRQLtQBpHIM3DgQJKSknjnnXeoVKmSp1muu+46mjZtyoMPPqiJz6KUc4558+Zl+0p027ZtSU1N/Xt5SRH5f+vWrWPHjh3Z/u9EuoSEBH7//Xc2bdrkdRSRqLR27Vo+//xzbrvtNvLly+d1nNMWHx9Ply5d+OKLLzh8+LDXcSQLEhMTKVq0KFWrVvU6SswItJDxC/CkmY00swfN7N6MWygDijc2bdrE888/z5VXXsmVV17pdRzMjLfeeos9e/bw0EMPeR1HTsGGDRvYvn17tn+D0rhxY/Lnz69uoSKZ0CdW/5Q+4aeGl4icmsGDB5MrVy5uvfVWr6METbdu3di7dy8zZ870OopkQfqHeTlyBLzWhpxEoD/J3sA+oBHQB7gjw3Z7aKKJl+6//35y5MjBSy+95HWUv1WvXp3bbruN4cOHs2PHDq/jSBbNmzcPyL7zY6TLnTs3LVu2ZOrUqeouLnKMefPmUbx4capUqeJ1lIhQo0YNcufOrUKGyCnYvXs3H3zwAddeey0lS5b0Ok7QtGrVijPPPFPDS6LIr7/+yoYNG1SkD7KAChnOuYon2M4JdUgJr5kzZzJu3Dj69+8ftqVWA3XzzTdz9OhRRo0a5XUUyaJ58+ZRpEgRdanDtwzrTz/9xPr1672OIhJRNKP7P+XMmZPatWurkCFyCt5++20OHjzI3Xff7XWUoMqdOzeXXnopEydOJDU11es4EoD0D/NUyAiuLPdtMbOSZqY+MTHqyJEj3HnnnVSsWJH77rvP6zj/Uq1aNerWrcuHH37odRTJovnz59OkSRN1qcM3TwZoGVaRjH7++Wc2bdqkF3rHqF+/Pt99953esIhkQUpKCv/73/+45JJLqFGjhtdxgq5bt27s2rXr7zfIEtkSExM544wzqFmzptdRYkpA7yjMLKeZDTKzvcCvQAX//hfMLHYGnQlvvfUWP/74I6+++ip58uTxOk6mrrvuOpYuXcqKFSu8jiIB2r17N+vWraNhw4ZeR4kIlStXplKlSponQyQDDT/LXEJCAgcPHuSHH37wOopI1BgzZgzbtm3j3ntjcyq/du3akSdPHg0viRKJiYk0btw46pf/jTSBfjT6OHAZcC2QcYrcZOD6IGcSj/z22288/vjjtGnThk6dOnkd57i6d+9OfHw8H330kddRJECLFy8GoF69eh4niRxt27Zl9uzZmnVcxC8xMZEzzzyTCy+80OsoEUUTfopkjXOOV155hapVq/7dAzLW5M+fn3bt2jFhwgTS0tK8jiMnsGvXLlauXKnehiEQaCGjB9DHOTcJyPiv5QfgvKCnEk/079+f/fv3M3jw4Igen1yiRAnat2/PyJEjOXr0qNdxJACLFi0CoE6dOh4niRzt2rXjwIEDLFiwwOsoIhEhMTGRJk2aEBcX53WUiHLOOedQpEgRFTJi2J49e/j222959913ueeee2jTpg1ly5alZcuWrFu3zut4UWfu3LksXbqUe+65J6Jfz56ubt268euvv/79Gksi0/z58wHNjxEKgRYyygCbM9kf798kyi1atIj333+fu+66i/PPP9/rOCfVs2dPtm7dyqxZs7yOIgFITk6mSpUqFCpUyOsoEaNly5bkzJlTw0tE8PUIXL16tV7oZcLMSEhIUCEjhkybNo1+/frRoUMHypcvT8GCBWnYsCE33XQTb7/9Nrt376ZFixYsW7aMiy66iLfeekurXGXBq6++SrFixbj22mu9jhJSl156KfHx8RpeEuESExPJnTu3eiWHQKCFjJVAZq8urgS+C1YYM2tnZmvMbL2ZPZTJ/deY2XL/ttDMama4b5OZrTCzZWa2OFiZsoO0tDTuvPNOSpQowWOPPeZ1nIBceumlFCpUSJN+RolFixbpD/gxzjjjDJo0aaIJP0XQJ1Ynk5CQwMqVK9m3b5/XUeQ0ffrpp7Rr147XX3+drVu30qRJE5599lkmTZrE+vXr2bt3L4sXL2bkyJH88MMPNGnShNtuu4127dqxZcsWr+NHvLVr1/L555/Tt29f8ubN63WckCpcuDCtWrVi/PjxKnRFsMTERBo0aEDu3Lm9jhJzAi1kPAn8z8wGAHHAFWb2AfAQ8HQwgphZHPAm0B6oBvQws2rHHPYT0Nw5d6H/usOOub+lc+4i51zdYGTKLj766CO+/fZbnn/+ec4880yv4wQkT548XHXVVYwfP569e/d6HUdO4Ndff2Xbtm0qZGSibdu2LF++nK1bt3odRcRTiYmJ5M2bV8PPjiMhIYG0tDSWLFnidRQ5Dd9++y29evWiSZMm/PXXXyxbtoyRI0fSv39/OnXqRKVKlf4xtKps2bJMnTqVt956i/nz51OjRg1GjhypN60nMHjwYHLmzMmtt2aPtQi6dOnC+vXrWbNmjddRJBN79+5lyZIlmsQ6RAIqZDjnPsfX+6INvjkyHgfOBS5zzs0IUpYEYL1zbqNzLgUYDXQ+JsdC59wf/pvfAmcF6drZ1p49e3jwwQepX78+PXv29DpOlvTs2ZMDBw6oS12ESx+7qULGv7Vr1w6Ar7/+2uMkIt5K/8QqV65cXkeJSOl/PzW8JHpt3ryZzp07U7ZsWSZMmBDwynBmRt++ffn++++pWrUq1157LVdeeSW///57iBNHn927dzN8+HCuueYaSpUq5XWcsGjdujXgmxdEIs/ChQtJS0tTb8MQCXh+C+fcNCCUfaDLAr9kuL0FqH+C4/8LfJXhtgO+NjMHvO2cO7a3BgBmdjNwM0DJkiWZM2fO6WT2xL59+4KWe+jQoezYsYMnnniCxMTEoJwzXJxzlClThsGDB1O+fHmv48hxfPbZZ8TFxbFnz56A2m0w23ekc85RpEgRPvzwQypUqOB1HAmT7NTGA7Fv3z6WLVtGz5499XM5gVKlSvHFF19Qt25kdzpV+/63/fv3c+edd7J//34GDRp0ykvpPv3003z66ad88MEHzJw5k379+mlZ8ww++eQTDhw4QJMmTULWBiOtfTvnKFasGGPGjKFKlSpex5FjfPTRR+TIkYPU1NSIajcnEmlt/IScc1nagDxAvoxbVs9xnPNeAbyb4fZ1wP+Oc2xLYBVQNMO+Mv6vJYDvgWYnu2adOnVcNJo9e3ZQzrNq1SoXHx/vbrzxxqCczwtPPvmkMzO3efNmr6PIcbRu3drVqlUr4OOD1b6jRa9evVyRIkVcamqq11EkTLJbGz+ZKVOmOMDNnDnT6ygR7corr3Tly5f3OsZJqX3/U2pqquvQoYOLi4tz06dPD8o5ly1b5i688EIHuL59+7qjR48G5bzR7PDhw65MmTKudevWIb1OJLbvq6++2pUqVcqlpaV5HUWO0bRpU5eQkOB1jCyJtDYOLHbHeS8f0NASMytvZpPMbA+wH9h7zBYMW4ByGW6fBfxr4LiZXQi8C3R2zu1K3++c2+r/+hswAd9QFTkO5xx33XUX+fLlY+DAgV7HOWXXXnstzjlGjhzpdRTJhHOOxYsXa1jJCbRt25bdu3fz3XdBmzdZJKrMmzeP+Ph4GjRo4HWUiJaQkMDmzZvZsWOH11EkC+677z6+/PJL3njjjb+HAZyumjVrkpyczL333suQIUN48skng3LeaPbZZ5+xdetW7r33Xq+jhF2LFi3Yvn07a9eu9TqKZHDo0CGSkpI0rCSEAp3s82N8S7DeAXQEOhyzBcMi4Fwzq2hmuYDuwOSMB5jZ2cB44Drn3NoM+/ObWYH07/HN5XFq/fayic8//5yvv/6aJ598kpIlS3od55Sdc845NGnShA8//FCTX0Wg9evX8+eff6qQcQKXXHIJZqZlWCXbSkxMpF69euTLl8/rKBEtIcH3+Uz6vEMS+YYMGcLgwYO5++676dOnT1DPnTt3bl566SVuuOEGnnrqKcaNGxfU80cT5xyvvPIK559/Pm3btvU6Tti1aNECgNmzZ3sbRP4hOTmZlJQUFTJCKNBCRi2gp3NuhHNuqnNuWsYtGEGcc6nA7fjm4VgFjHHOrTSzPmaW/tf/MaAo8NYxy6yWBOab2fdAMjDFOad3Bcdx4MAB7rrrLqpWrcptt93mdZzT1rNnT1avXq1PtCNQ+sR06S/A5d+KFStG3bp1tQyrZEsHDhxg0aJFmtE9ALVr1yYuLk4TfkaJ6dOnc8cdd9CxY0deeumlkFzDzBgyZAgNGjSgZ8+eLF++PCTXiXSJiYksWbKEe+65hxw5An1rEzsqV65MmTJlomdeg2wife7Bxo0be5wkdgX6r/17oHgogwA45750zp3nnKvknHvWv2+oc26o//vezrnCzrfE6t/LrDrfSic1/dsF6Y+VzD3zzDNs2rSJIUOGkDNnTq/jnLYrrriC3Llz8+GHH3odRY6xaNEi8ubNS7Vqx66kLBm1a9eOb7/9lj/++OPkB4vEkKSkJI4cOaJPrAKQP39+qlevrkJGFFi1ahVXXHEF1apVY9SoUf9YUjXYcufOzfjx4ylUqBCdO3fOlquZvPrqqxQtWpTrrrvO6yieMDNatGjBnDlz1Ds5giQmJlKjRg2KFCnidZSYFWgh42bgcTPrbGaVzOzsjFsoA0pw/fjjj7z44ov06tWL5s2bex0nKNL/8x41ahQpKSlex5EMFi1aRO3atYmPD3iBpGypbdu2pKWlMXPmTK+jiIRVYmIiZqZPrAKUkJBAcnKy3qxEsJ07d9KxY0fy5MnDF198QYECBUJ+zdKlSzNx4kS2bdvGlVdeyZEjR0J+zUixbt06Jk+eTN++fcmbN6/XcTzTsmVLduzYwZo1a7yOIsCRI0dYuHChivQhFmghIwe+1UAmAGuBn/zbJv9XiQLOOfr27UuBAgV48cUXvY4TVD179uT333/XPAMR5MiRIyxdulTzYwSgfv36FCxYUO1Xsp158+ZRs2ZNChUq5HWUqJCQkMAff/zB+vXrvY4imUhJSaFbt25s27aNSZMmcfbZ4fusr169erzzzjvMnj07W014OXjwYHLmzBkTQ6VPR/o8GRpeEhmWLl3K/v37VcgIsUALGSOAncBlQH18K4IkAPXQ6iBR48MPPyQxMZEXXniB4sVDPlIorNq0aUOJEiU0vCSCrFy5koMHD2p+jADEx8fTunVrpk2bpk9aJdtISUnRJ1ZZlP73VMNLItPHH3/M/Pnzeffdd6lfv37Yr3/ddddx33338cYbb/Duu++G/frhtn37dj744AN69OhBqVKlvI7jqUqVKlG2bFkVMiLEvHnzADT/U4gFWsg4H+jjnJvinFvsnPsu4xbKgBIcu3bt4v7776dhw4b897//9TpO0OXMmZOrr76azz//nN27d3sdR/j/mfXVIyMwbdu2ZcuWLfz4449eRxEJiyVLlnDw4EG90MuCatWqkS9fPhUyIlBaWhovvvgitWrV4uqrr/YsxwsvvECbNm249dZbWbBggWc5wuHZZ5/l8OHDDBgwwOsontM8GZElMTGRc889l9KlS3sdJaYFWshIBiqGMoiE1kMPPcQff/zB0KFDY3ZG5549e5KSksKYMWO8jiL4ChmFCxemUqVKXkeJCulLxmn1Esku0md0VyEjcPHx8dSpU0eFjAj0xRdfsHr1ah544AHMzLMccXFxjB49mgoVKnD55Zfzyy+/eJYllH766Sfefvtt/vvf/3Luued6HScitGjRQvNkRADnHPPnz9f/bWEQ6DvaIcBrZtbbzOqbWe2MWygDyulbuHAh7777Lvfccw8XXnih13FC5qKLLuKCCy7Q8JIIsWjRIurWrevpC7pocvbZZ1O1alUVMiTbSExMpEqVKpQsWdLrKFElISGBpUuXanLrCPPCCy9QsWJF/vOf/3gdhcKFCzNp0iQOHDhA165dOXjwoNeRgu6JJ54gLi6Oxx57zOsoEUPzZESGdevWsXv3bho2bOh1lJgXaCFjFFAFGAZ8AyzOsC0KTTQJhiNHjtCnTx/KlSvH448/7nWckDIzevbsyTfffMO6deu8jpOtHThwgBUrVmhYSRa1a9eOuXPncuDAAa+jiITU0aNHmT9/vubHOAUJCQkcPnyYFStWeB1F/BYsWMDChQu57777ImaVrqpVqzJy5EiWLFlC7969Y2q4wcqVK/noo4+4/fbbKVu2rNdxIobmyYgMSUlJAJ7Mk5PdBFrIqHiC7ZzQRJNgGDx4MCtWrOB///sfZ5xxhtdxQu6aa67BzPjoo4+8jpKtLVu2jKNHj2qizyxq27Ythw8fZu7cuV5HEQmpH374gb/++kuFjFOgCT8jz6BBgyhatCg33HCD11H+4bLLLuOZZ57hk08+4a233vI6TtA88sgjFChQgIceesjrKBFF82REhuTkZPLnz0+1atW8jhLzAipkOOc2n2gLdUg5NT///DOPP/44nTp1onPnzl7HCYuyZcvSunVrPvroI9LS0ryOk21pos9T07x5c/Lly8fnn3/udRSRkNL8GKeufPnyFC9eXIWMCPHjjz8yefJk7rjjDvLly+d1nH95+OGH6dChA/fddx/ff/+913FOW1JSEhMnTuT++++naNGiXseJOC1bttQ8GR5LSkqibt26xMXFeR0l5gU866OZtTezL8zsRzMr59/X28wuDl08OR133XUXAK+//rrHScLr2muvZdOmTSxevNjrKNnWokWLKFOmDGXKlPE6SlTJkycPbdu2ZfLkyfo0RWJaYmIiZ599NuXLl/c6StQxMxISElTIiBAvvfQS+fLl4/bbb/c6SqbMjOHDh1OkSBG6d+/O/v37vY50ypxzPPzwwxQvXpy7777b6zgRKX2ejNmzZ3sbJJs6dOgQy5Yt07CSMAmokGFm1wBjgHX4hpPk9N8VBzwQmmhyOiZPnszEiRN5/PHHs90LxQ4dOmBmTJ061eso2VZycrJ6Y5yiLl268Ouvv/Ldd1rZWmKTc47ExEQNKzkN9evXZ9WqVezZs8frKNnar7/+yscff8x///vfiO4dULx4cT7++GPWrFnDnXfe6XWcUzZjxgxmz57999AS+bdzzjmHs846S/NkeOT777/nyJEjKmSESaA9Mh4AbnLO3QOkZtj/LXBRsEPJ6dm/fz933HEHF1xwAffcc4/XccKuWLFi1KtXj6+++srrKNnSn3/+ybp16zQ/xinq2LEjcXFxTJo0yesoIiGxdu1afvvtNxUyTkNCQgLOORU8Pfbaa6+RlpbGvffe63WUk2rVqhX9+/fn/fffZ/To0V7HyTLnHP3796d8+fLccsstXseJWJonw1vpE33qNXB4BFrIOBffaiXH2gecGbw4EgxPPfUUP//8M0OHDiVnzpwnf0AMateuHcnJyezatcvrKNlO+pAe9cg4NUWLFqVJkyYqZEjMSp8fQ4WMU5f+9zX9RbOE359//snbb7/NVVddRYUKFbyOE5AnnniCRo0acfPNN7Nx40av42TJ+PHjWbx4MU888QS5c+f2Ok5Ea9GiBb/99hurV6/2Okq2k5SURJkyZTjrrLO8jpItBFrI2Aqcl8n+ZsCG4MWR0zVx4kRefPFFevfuTZMmTbyO45n27duTlpbG9OnTvY6S7aRP9Fm3bl2Pk0Svzp07s2LFiqh7oSkSiHnz5lGiRAnOOy+zlxUSiCJFilC5cmXNk+Ght99+m71799KvXz+vowQsPj6eTz75hLi4OHr06EFKSorXkQKSmprKI488QtWqVbnuuuu8jhPx0ufJ0PCS8EtOTtawkjAKtJAxDHjdzBr7b5czs17AIGBISJJJliUnJ3P11VeTkJDA4MGDvY7jqXr16lGkSBENL/FAcnIylStXpnDhwl5HiVrpqwypV4bEosTERJo2bYqZeR0lqmnCT+8cOnSI1157jTZt2nDRRRd5HSdLypcvz3vvvUdycjKPPPKI13EC8tFHH7F69WqeeeYZrQQRAM2T4Y1du3axfv16DSsJo0CXXx0EjAemA/mB2cBQYKhz7s3QxZNAbdy4kUsvvZRSpUoxefLkiFwCLJzi4uJo06YN06ZN0zKsYbZo0SL9ET9N55xzDtWrV1chQ2LO5s2b2bx5s4aVBEG9evX49ddf2bp1q9dRsp2PP/6Y7du38+CDD3od5ZR069aNPn368OKLLzJt2jSv45zQ4cOHeeKJJ6hXrx5du3b1Ok5U0DwZ3kgvLKtHRvgEvPyqc24AUAxIABoAxZ1zj4YqmARu9+7ddOjQgdTUVL766itKlCjhdaSI0L59e3bs2MGyZcu8jpJtbNu2jV9//VXzYwRB586dmTdvnuZ5kZgyb948QPNjBEN6wTh9OJ+ER1paGi+++CJ16tShZcuWXsc5Za+88grVq1enZ8+ebN++3es4xzV06FB+/vlnBg4cqF5cWaB5MsIvOTkZM9PQ6jAKdPnVUmZ2lnPugHNusXMu2Tm3z8zOMrOSoQ4px3f48GG6devGTz/9xMSJE6lSpYrXkSJG27ZtAbQMaxilv6BWIeP0denShbS0NKZMmeJ1FJGgSUxMpGDBgtSoUcPrKFGvVq1axMXFaXhJmE2aNIm1a9fywAMPRPUb67x58zJ69Gj27t1Lz549I7L36t69e3n22We5+OKLad26tddxokp6kU3DS8InKSmJatWqaWngMAq0R8ZHQPtM9rf13ycecM7x3//+l7lz5/LBBx/oE65jlCxZktq1a2uejDBKTk4mLi6OWrVqeR0l6tWpU4eyZctqeInElJkzZ9KsWTONcw+CvHnzUqNGDfXICCPnHC+88ALnnHMOl19+uddxTtsFF1zA4MGDmT59Oi+++KLXcf7ltddeY+fOnQwcONDrKFGnYsWKlCtXToWMMHHOaaJPDwRayKgHJGayfx6g/jMeeeyxxxg5ciTPPvssV199tddxIlL79u355ptv+PPPP72Oki0sWrSI6tWrZ/s5WoLBzOjUqRNTp07l4MGDXscROW0//fQTGzdu1CerQZSQkMCiRYsi8tP0WDR//nySkpK4//77Y6YY17t3b6644goeeeQR5s+f73Wcv23dupWXXnqJrl27at6tU6B5MsJr48aN7Nq1S4WMMAu0kBEPZLZoc57j7JcQe//993nmmWfo3bs3Dz/8sNdxIla7du04evQoM2bM8DpKzHPOsXjxYg0rCaLOnTtz4MABZs6c6XUUkdOW3o5VyAiehIQE/vzzT9avX+91lGzhhRdeoHjx4lx//fVeRwkaM2PYsGFUrFiRyy67jB9++MHrSBw8eJAuXbpw9OhRnnvuOa/jRK30eTJWrVrldZSYl5SUBKCiW5gFWshIAvpmsv82QH0aw2zx4sXccssttGnThrfeeiuqx2iGWoMGDShYsKDmyQiDjRs3snv3bhUygqhFixYUKFBAw0skJsyYMYPSpUtTtWpVr6PEjPS/txpeEnorV65kypQp3HHHHeTNm9frOEFVqFAhvv76a/LmzUvbtm3ZtGmTZ1mcc/Tu3ZvFixczcuRIzf12Glq0aAFonoxwSE5OJl++fFSvXt3rKNlKoIWMAUAvM1toZk/7twXAdUD/0MWTY61YsYInnniCqlWr8tlnn5EzZ06vI0W0+Ph4LrnkEqZOnaqudSGmiT6DL3fu3LRv357PP/9cXcclqqWlpTFr1iwuvvhiFd+DqFq1auTLl08TfobBO++8Q+7cubn11lu9jhISFSpU4Ouvv+bAgQO0adOG3377zZMczz//PJ988gnPPvssnTt39iRDrNA8GeGTlJREnTp1iI+P9zpKthJQIcM59y3QENgIdAMuB34CGjrnFoYunmS0detWOnToQN68eZkyZQpnnnmm15GiQvv27fn1119ZsWKF11FiWnJyMnny5FE1Osi6dOnCjh07/u62KBKNVqxYwc6dOzWsJMji4+OpU6eOemSE2NGjRxkzZgwdOnSgaNGiXscJmerVqzNlyhS2bNlC+/bt2bNnT1ivP2nSJPr378/VV1/NQw89FNZrxyLNkxEeKSkpLF26VMNKPBBw2cg59z1wbQizyEmkpaVx9tlnc8MNN1CuXDmv40SNdu3aAb5lWC+88EKP08SuRYsWUatWLfUSCrL27dsTHx/PpEmTaNiwoddxooZzjunTp7Nt2zZSUlI4fPjw318zfn/kyBE6deqkN9ghlj5P0cUXX+xxkthTr1493nzzTY4cOaK/vyEyb948tm3bRvfu3b2OEnKNGjVi7NixdOrUiS5duvDll1+SJ0+ekF93+fLlXHPNNSQkJPDuu++q51aQtGjRgo8++ohVq1ZRrVo1r+PEpOXLl3P48GFN9OmBLPd/MbNSQK6M+5xzPwcjjJm1AwYDccC7zrnnj7nf/Pd3AA4A1zvnlgTy2Fhw1llnMX/+fObOnet1lKhSpkwZLrzwQr766iseeOABr+PEpNTUVJYsWULv3r29jhJzChUqRIsWLZg0aRLPPx9zf9ZC4sCBA/Tu3ZtRo0Yd95j4+Hhy586Nc4433niDgQMH8uCDD+rFc4jMnDmT888/n7POOsvrKDEnISGBV155hRUrVlC7dm2v48Sk0aNHky9fPjp27Oh1lLDo0KEDw4cP57rrruOaa65hzJgxIV2l5bfffqNTp04UKlSIiRMnxtwcJF7KOE+GChmhkd5jVoWM8AtoaImZFTSzEWZ2EPgV37CSjNtpM7M44E2gPVAN6GFmx/6Law+c699uBoZk4bExQS+yT0379u2ZP38+e/fu9TpKTFq1ahUHDhzQ/Bgh0rlzZ1avXs2aNWu8jhLxNm3aROPGjRk9ejTPPPMMGzZsYMuWLfz222/89ddfHDx4kKNHj3LkyBH27dvHzp07ufLKK3n44Yfp0aMHBw4c8PopxJyUlBTmzp2r3hghogk/Q+vIkSOMGzeOTp06kT9/fq/jhM21117Lq6++yvjx4+nTp0/IhiYcPnyYyy+/nN9++41JkyZRunTpkFwnu6pYsSJnn3225skIoaSkJEqWLKne8h4IdLLPl4CaQBfgEHA10A/YAlwVpCwJwHrn3EbnXAowGjh2lp/OwIfO51ugkJmVDvCxko21a9eO1NRULWMZIukTzWl8YGh06tQJQKuXnMSsWbOoW7cuP/30E1988QUDBgzgnHPOoWzZshQvXpwzzzyTPHnykCPH///Xly9fPkaNGsVzzz3HmDFjaNKkCT//HJROhuL37bffcuDAAQ3fCZGKFStStGhRTfgZIrNmzeL333/PFsNKjnX33XfTv39/3n33XQYMGBD08zvn6Nu3L/Pnz+eDDz6gTp06Qb9Gdqd5MkIvOTmZ+vXr68NmDwQ6tKQ90MM5N8/MjgLfOec+NbNtwC3A2CBkKQv8kuH2FuDYPjqZHVM2wMcCYGY34+vNQcmSJaOyQrlv376ozO2l1NRU8uXLx/vvv0+hQoW8jhNzJk2aRP78+dmyZQtbt249rXOpfWfu3HPP5cMPP1SxKBPOOcaNG8eQIUMoV64czzzzDPny5ctSO2rQoAEDBw7kmWeeoWbNmjzxxBPUrFkzJHmzWxt///33yZEjB/Hx8dnqeYdT5cqVmT17dkT8fGOtfb/22mvkz5+fvHnzxtTzClTr1q1Zvnw5zz33HH/99RdXXHFF0M792Wef8cEHH3DddddFzWvyaGzfpUqVYufOnYwYMYIKFSp4HSem7N27lzVr1tCkSZOoaxfHE1Vt3Dl30g3YB5zt//4XoL7/+wrA/kDOEcA1rsA3t0X67euA/x1zzBSgSYbbM4E6gTw2s61OnTouGs2ePdvrCFGpa9eu7uyzz3ZpaWleR4k5tWvXdhdffHFQzqX2nbknnnjCmZnbvn2711EiyoEDB9y1117rANelSxe3Z8+e0zrf6tWrXZUqVVx8fLx76623gpTyn7JbG2/UqJGrX7++1zFi2mOPPeZy5Mjh9u7d63WUmGrfhw4dcmeeeaa7/vrrvY7iqdTUVNetWzcHuGeeeSYo7ezLL790OXLkcN26dXNHjx4NQsrwiMb2vWHDBge4IUOGeB0l5kybNs0BbsaMGV5HCZpIa+PAYnec9/KBDi3ZAJzj/34V0N0/8WY3YPepFFAysQXIOLjoLODYj3aPd0wgj5Vsrl27dvz888+sXr3a6ygx5dChQyxfvlzzY4RYly5dcM7xxRdfeB0lYvz88880adKEjz/+mKeeeopx48ZRoECB0zpnlSpVSEpKom3bttx6663ccsstpKSkBClx9rNnzx6SkpI0P0aIJSQkkJaWxpIlS7yOElOmTp3Knj17suWwkozi4uIYOXIknTt35pFHHqF8+fI88cQT/P7771k+1/79+xk5ciTdu3enRo0afPjhh/8Y7ifBV7FiRUqVKsXChQu9jhJzkpOTMTPq1q3rdZRsKdC/HMOB9HUrn8c3nCQFeBF4IUhZFgHnmllFM8sFdAcmH3PMZKCn+TQA/nLObQvwsZLNpS/D+tVXX3mcJLYsW7aM1NRUFTJC7MILL6R8+fKaJ8Nv7ty51K1bl3Xr1jF58mQeffTRoL0YLliwIJMmTeLhhx9m2LBhtGrVih07dgTl3NnN3LlzOXr0qObHCLH0v7+aJyO4Ro8eTbFixWjVqpXXUTyXJ08eJk6cyMKFC2natClPPvkk5cuX5+677+aXX3454WNTU1OZOnXq30NIrr32WkqUKMHkyZOz1QSqXjEzGjVqxIIFC7yOEnOSkpI4//zzKViwoNdRsqWAXvU55151zr3u/34WcD6+ST4vcs69EYwgzrlU4HZgGr5eH2OccyvNrI+Z9fEf9iWwEVgPvAPceqLHBiOXxI6zzz6batWqqZARZOkz5WvuhtAyMzp37sz06dPZv3+/13E8NWXKFFq3bk2RIkVITk7msssuC/o14uLiGDhwIKNHj2bJkiU0b96cgwcPBv06sW7mzJnkzZuXhg0beh0lppUoUYLy5ctr5ZIg2r9/P5MnT+Y///kPOXPm9DpOxGjYsCETJ05k5cqV/Oc//+HNN9/knHPO4YYbbmDVqlV/H+ecIzk5mbvuuouyZcvSvn17vvjiC66++mrmzJnDmjVrOPvssz18JtlL48aN2bhxI9u3b/c6SsxwzpGUlKRlVz10Sh9fOed+ds6Nd86tCGYY59yXzrnznHOVnHPP+vcNdc4N9X/vnHO3+e+v4ZxbfKLHihyrffv2JCYmZvs3gsG0aNEiSpcuTdmyZb2OEvM6d+7MoUOH+Prrr72O4plffvmFnj17Ur169b8/CQmlq666ikmTJrFmzRoef/zxkF4rFs2YMYOmTZuSJ08er6PEvISEBPXICKIvvviCAwcOZPthJcdTrVo1RowYwfr167n11lv59NNPueCCC+jWrRuPPfYYVapUoX79+rz99ts0bdqUCRMmsH37doYNG0bz5s01nCTMGjVqBKDhJUG0efNmdu7cqQ/yPHTcvyJmdm+gWzgDi5yO9u3bk5KSwuzZs72OEjOSk5OpV6+elp0Kg6ZNm1KoUKFsO7wkNTWVHj16kJKSwpgxY8LWlfOSSy7hpptu4uWXXyYpKSks14wF27ZtY+XKlZofI0wSEhLYtGkTO3fu9DpKTBg9ejRlypShSZMmXkeJaOXLl2fw4MFs3ryZRx55hDlz5vDMM89Qrlw53nvvdE5jMAAATlRJREFUPXbs2MHYsWPp0qULuXPn9jputlW7dm1y586t4SVBlP56QD0yvHOi5VfvCPAcDnglCFlEQq5Jkybkz5+fqVOncumll3odJ+r99ddfrFmzhmuvvdbrKNlCzpw56dixI1988QWpqanExwe6gnZseOyxx1iwYAGffPIJ5557bliv/eKLL/LVV19x4403smTJEr0gD8DMmTMBND9GmKTPk7Fo0SI6dOjgcZro9tdff/HVV1/Rp08f4uLivI4TFYoXL85TTz3Fgw8+yIEDByhevLjXkSSDXLlyUa9ePfXICKKkpCTy5MlDjRo1vI6SbR23R4ZzrmKA2znHO4dIpMmdOzetWrXiq6++Sl+qV07D4sW+0V3qVhc+nTt3ZteuXdnuxci0adN47rnnuOmmm+jRo0fYr1+wYEGGDRvGjz/+yNNPPx3260ejmTNnUqRIES666CKvo2QLderUIUeOHBpeEgSTJk3i8OHDGlZyCvLnz68iRoRq3Lgx3333neZ7CpLk5GRq166tOXQ8pAFqku20a9eOjRs3sn79eq+jRL30ieW07FT4tGvXjly5cjF+/Hivo4TN1q1bue6666hevTqvvfaaZznat29Pr169eP7557XM5Uk455gxYwYXX3yxxsKHyRlnnEG1atU04WcQjB49mvLly6vLuMSURo0aceTIEb777juvo0S99J+j/kZ4K+BXF2bWxcwSzex3/zbPzLqGMpxIKGgZ1uBZtGgRlSpVokiRIl5HyTYKFChA586d+eijj7LFpypHjx7lmmuuYf/+/YwZM4Z8+fJ5mufVV1+lePHi3HDDDaSkpHiaJZKtXbuWLVu2aH6MMKtXrx7JycnqcXgafv/9d6ZPn0737t0195PElPQJPzVPxulbsWIFhw4dUiHDYwEVMszsPuBTYA3wgH9bDXxiZveHLp5I8J1zzjmcd955TJ061esoUS85OVnDSjzQp08fdu/ezdixY72OEnLPPPMMc+bM4a233qJq1apex6Fw4cIMHTqU5cuX8/zzz3sdJ2JpfgxvJCQk8Pvvv7Np0yavo0St8ePHk5qaqmElEnOKFSvGeeedl+2GpoZC+hA+vQb2VqA9Mu4HbnfO3eSce9+/3QTcCdwXungiodG+fXtmz56dLT7RDpXt27ezZcuWvyeYk/Bp2bIl5513HkOHDvU6SkjNnj2bJ598kp49e9KrVy+v4/ytc+fO9OjRg2eeeYYVK4K6CnnMmDFjBhUqVOCcczSNVjhlnPBTTs3o0aOpUqUKNWvW9DqKSNA1btyYhQsXqtfWaUpKSqJ48eJUqFDB6yjZWqCFjDOAzNarnO2/TySqtG/fnkOHDjF37lyvo0St9BfKKmSEn5lxyy23sHDhQpYvX+51nJD47bffuPrqq6lSpQpvvvmm13H+5fXXX6dQoULccMMNpKameh0nohw9epRZs2bRunVrdc0Psxo1apA7d25N+HmKtm3bxpw5czSsRGJWo0aN+P3331m3bp3XUaJaUlIS9evX198JjwVayJgI/CeT/ZcDk4OWRiRMmjVrRq5cuf7u/ixZl5ycTFxcHLVq1fI6SrbUq1cvcufOzdtvv+11lKBLS0vjuuuu488//+TTTz/ljDMir15erFgx3nzzTb777jtefvllr+NElO+++46//vpLw0o8kCtXLmrVqqVCxin67LPPcM5x1VVXeR1FJCQaN24MaJ6M0/HXX3+xevVqDSuJAIEWMtYDD5nZNDN7wr9NBR4G1pjZvelb6KKKBE/evHlp1KgRs2bN8jpK1Fq0aBEXXHAB+fPn9zpKtlS0aFGuvPJKPvroI/bt2+d1nKB64YUX+Prrrxk8eDAXXnih13GO64orruDyyy/n8ccfZ/Xq1V7HiRjpBeJWrVp5nCR7qlevHt999516Cp2C0aNHU7NmzYiYj0ckFKpUqULhwoU1T8ZpWLx4Mc45TfQZAQItZFwP/AGcB/Tyb1X8+24A7vBvtwc/okhotGrViqVLl7J7926vo0Qd5xyLFi1SNdpjffr0Ye/evYwaNcrrKEGzYMECHn30Ua666ipuuukmr+Oc1Jtvvkn+/Pm58cYbOXr0qNdxIsKMGTOoWbMmxYsX9zpKtpSQkMCBAwdYtWqV11GiyubNm/nmm2/UG0NiWo4cOWjUqJF6ZJyGpKQkQEOrI0FAhQznXMUAN83qJVGjVatWOOc0T8Yp2LhxI7t379YfcY81bNiQGjVqMGTIkJiYuOvAgQP06tWL8uXLM2zYsKgYe1qyZElef/11vvnmG15//XWv43ju4MGDLFiwQMNKPJReYNbwkqwZM2YMgAoZEvMaNWrEqlWr9EHeKUpOTua8886jcOHCXkfJ9gLtkfEvZlbZzPIEM4xIONWrV4/8+fNreMkp0ESfkcHM6NOnD0uXLmXx4sVexzltjzzyCBs2bOC9997jzDPP9DpOwK6++mouvfRSBgwYwK+//up1HE8tWLCAw4cPq5DhocqVK1OwYEGtXJJFo0ePJiEhQSvtSMxLnyfjm2++8ThJ9HHO/T3Rp3gvoEKGmQ00s17+783MZgBrgW1m1iCUAUVCJVeuXDRt2lSFjFOQnJxMnjx5qF69utdRsr1rr72W/PnzR/1SrN988w2vvfYaffv2pUWLFl7HyRIz4/XXXyc1NZVnn33W6ziemjFjBjlz5qRp06ZeR8m2cuTIQb169dQjIwvWrl3LkiVL6N69u9dRREKuXr16xMfHa56MU/DLL7+wfft2FTIiRKA9Mq4B1vi/bw/UBBoAHwLPhSCXSFi0atWKH3/8ke3bt3sdJaosWrSIWrVqkTNnTq+jZHtnnnkmV199NaNGjeLPP//0Os4pOXToEDfeeCPlypXjhRde8DrOKalYsSK9e/fmnXfe4aeffvI6jmdmzJhBw4YNNQmwxxISEli+fDkHDx70OkpU+PTTTzEzrrzySq+jiIRcvnz5qFWrlubJOAXp82OokBEZAi1klAS2+L/vAIxxziUD/wO09qJErfRZ9WfPnu1xkuiRmprKkiVLNKwkgtxyyy0cPHiQjz76yOsop+TJJ59k9erVvPPOOxQoUMDrOKfskUceIT4+nqeeesrrKJ7YvXs3S5Ys0bCSCFCvXj2OHj3KsmXLvI4SFcaPH0+jRo0oW7as11FEwqJRo0YkJydz5MgRr6NElaSkJHLnzh3RK6plJ4EWMnYB5f3ftwHS++LHA5E/G5vIcVx00UUUKlRIw0uy4Mcff+TAgQNasSSC1KlTh3r16jF06NCom/Rz8eLFvPjii9x44420adPG6zinpUyZMtx66618+OGH2XI51tmzZ+OcUyEjAmjCz8D9/PPPLFu2jM6dO3sdRSRsGjduzMGDB1XszKJvv/2WOnXqkCtXLq+jCIEXMsYBn5jZdKAIMNW//yJgfQhyiYRFXFwcLVq0UCEjCzTRZ2Tq06cPP/74I/Pnz/c6SsBSUlK48cYbKVGiBC+//LLXcYLioYceIl++fDz++ONeRwm7GTNmUKBAAf1tiABlypShTJkymvAzAJMnTwZQIUOylUaNGgFonowsOHLkCN99952GlUSQQAsZ9wKvAz8Clzjn9vv3lwaGhCKYSLi0atWKjRs3smnTJq+jRIXk5GQKFSpE5cqVvY4iGVx11VUULFgwqib9fO6551ixYgVvv/02hQoV8jpOUBQvXpy7776bMWPGZKtPupxzfP311zRv3pz4+Hiv4wi+XhnqkXFykydPpkqVKpx33nleRxEJm7Jly1K+fHnNk5EFK1as4NChQypkRJCAChnOuVTn3MvOubucc0sz7H/VOfdu6OKJhJ7myciaRYsWUbduXXLkOOXVmyUE8ufPT8+ePRk7diw7d+70Os5JLV++nGeeeYZrrrmGyy67zOs4QXXfffdRqFAhHnvsMa+jhM3SpUvZuHEjXbp08TqK+CUkJLBu3Tr++OMPr6NErL/++os5c+aoN4ZkS40aNWLBggVRNyTVK99++y0ADRpowc5Icdx3ImZW28xyZPj+uFv44ooEX7Vq1ShRooSGlwTg4MGDrFixQl3HI9Qtt9xCSkoKw4cP9zrKCaWmpnLjjTdSpEgRBg8e7HWcoCtUqBD9+vXj888///uFT6z79NNPiY+Pp2vXrl5HEb/0v9OLFy/2OEnkmjp1KkeOHKFTp05eRxEJu8aNG7N161Z+/vlnr6NEhaSkJP6vvfuOj6rK/z/++oQAoQsCoShtRRBBUOkwlAiIAiJFUWywNnZVVr+6KKgLrmtbrKyuvS0WEAgQRVGkJmDoSi+CoqIC0pFACDm/PzLxFzHAhMzMnZm8n4/HfczMnXvveY97dkg+OefcxMREatWq5XUU8TvRn1SXAJXzPF/sfzx20wRMiWpmRlJSErNmzVJV+iS+/PJLsrKytNBnhDr33HPx+Xy8/PLLZGdnex3nuJ588kmWLl3KCy+8wOmnn+51nJAYOnQoVapU4YEHHvA6Ssg55/jggw/o1q0blSpV8jqO+DVv3hzQgp8nkpKSQpUqVfQXVimStE5GwaSnp9O6dWvMdJ+LSHGiQkZdYEee5/X8j8du9UIZUCQckpKS+PHHH9mwYYPXUSKaFvqMfEOGDGHTpk3MnDnT6yj5Wrt2LaNGjaJfv37079/f6zghU7ZsWYYPH87MmTNjftraokWL+Pbbb7nyyiu9jiJ5nHbaaTRo0ECFjOM4cuQIH3/8MT179qRYsWJexxEJuyZNmlC2bFmtkxGA3bt3s2HDBq2PEWGOW8hwzm1x/j9P+58fdwtfXJHQyF0nI1J/+YsUixcvpnr16tSsWdPrKHIc/fr1o3LlyhG56OfRo0e58cYbKVOmDC+88ILXcULuL3/5CzVr1uSBBx6I6dFe48ePp0SJElofIwK1aNGCRYsWxXT/O1Wpqans2bNH00qkyIqPj6dVq1YakRGA3IKwChmRJaDV+sysnpn9n5k9b2b/MbO7zCxoIzHMrJKZzTCzjf7Hivkcc6aZzTaztWa22sz+lue9UWa21cy+9G+XBiubFA316tWjVq1aWifjJBYtWqRpJRGuZMmSDB48mKlTp/Ljjz96Hed3xowZwxdffMGYMWNITEz0Ok7IJSQk8OCDD7JgwQI++eQTr+OERHZ2Nh988AHdu3enQoUKXseRY7Rs2ZKff/5Zc+DzMXXqVBISEujatavXUUQ8065dO7766iv279/vdZSIlp6ejplpRHKEOWkhw8zuBtYBo4F+wBXAk8A6M7srSDnuA2Y65+oDM/2vj5UF3O2cOwdoDdxmZo3yvP+Mc66Zf/s4SLmkiMhdJ2P27NkRvbaAl/bs2cOGDRv0JR4FbrnlFo4ePcprr0XOTaUWLlzIvffeS69evRg4cKDXccJm8ODB1K1blwceeCAmv1sWLFjA1q1bGTBggNdRJB/t27cHIC0tzeMkkcU5R0pKCl26dKFMmTJexxHxTNu2bcnOztYUtJNYuHAh5557LuXKlfM6iuRxwkKGmbUD/k1OEaOKc666c64aUBV4ChjtP6awegNv+5+/DVx+7AHOuZ+cc8v8z/cDawGNb5egSUpKYteuXaxYscLrKBEpd+V7FTIi31lnncXFF1/MmDFj+Omnn7yOw/bt2+nXrx81a9bkrbfeKlILZZUoUYJRo0axfPlyJk+e7HWcoBs/fjwJCQkxdwvdWHHeeedRvnx5UlNTvY4SUVauXMm3336raSVS5OUuXql1Mo7POcfChQu1KHAEOtmIjL8C/3PO3e+c25W70zm30zk3HHjHf0xhJTrnfvJf+ydyCiXHZWZ1gPOBhXl2325mK8zsjfympoicTOfOnQE0veQ4chf6zF0JXyLbs88+y8GDB7nxxhs9nR+flZXFgAED2LlzJ8nJyUXyrhbXXHMNDRs25MEHH+To0aNexwmao0ePMnHiRHr06KG/UkWoYsWK0bZtWxUyjpGSkgKgApwUeRUqVKBx48ZaJ+MEvv76a3bt2qX1MSJQ/Enebw38+QTvvwW8HkhDZvY5UC2ft+4P5Pw81ykLTALudM7t8+9+EXgYcP7HpzhObjO7BbgFIDExkTlz5hSk+Yhw4MCBqMwdDc4880wmTJjABRdc4HWUiPPJJ59Qs2bNkI9YUf8OnptvvpkxY8Zw1113ebYQ40svvcScOXO477772Lt3b5H933bAgAE89NBDPPjgg7Rt2zYm/jssX76cn3/+mcaNG8fE54lVNWvWZPr06UydOjUs65hEw3f4u+++yznnnMO6detYt26d13EkikRD/y6ounXrMnPmTGbOnKk7+ORjxowZAMTFxcXc//b5iao+7pw77gb8Cpx5gvfPBA6e6BqBbMB6oLr/eXVg/XGOKw58CvzfCa5VB1gVSLsXXnihi0azZ8/2OkLMGjJkiCtbtqzLzMz0OkrEqVmzphs4cGDI21H/Dp7s7GzXvXt3V6pUKbd27dqwt//BBx84wP31r38Ne9uR5ujRo65Zs2auXr16bsaMGV7HCYpbb73VlSlTxv36669eR5ETmDdvngPclClTwtJepH+Hb9261QHu0Ucf9TqKRKFI79+n4n//+58D3IoVK7yOEpFuu+02V7ZsWZeVleV1lLCItD4OLHHH+V3+ZFNLSgGHT/B+JlCywNWTP0oBbvA/vwGYeuwBljOp+nVgrXPu6WPeq57nZR9gVRAySRGUlJTEgQMHWLp0qddRIspPP/3E1q1btT5GlDEz3njjDUqXLs21115LZmZm2Npes2YNgwcPpk2bNjzzzDNhazdSxcXF8a9//YvNmzfz8cfRvx51VlYWkyZNolevXpQuXdrrOHICLVq0oESJEppe4vfhhx8CaH0MEb927XKWO9Q6GflbuHAhLVq00GiVCBTI7Vd7mFnf/DagR5ByPA50NbONQFf/a8yshpnl/sTXDrgOSMrnNqv/NrOVZrYC6AwE624qUsR06tQJ0DoZx8pdH0OFjOhTvXp1Xn31VZYuXco///nPsLS5b98++vTpQ5kyZZgwYQIlSpQIS7uR7tJLL6V169a88847HDp0yOs4hTJr1ix++eUX3a0kCiQkJNCyZUsVMvymTp1KvXr1aNSo0ckPFikC6tatS2JiotbJyEdGRgZffvml1seIUIEUMl4HJh5nC8q9/VzO4qEXOefq+x93+ff/6Jy71P88zTlnzrnz3DG3WXXOXeeca+J/7zLnXzhUpKCqVKnCeeedp0LGMRYtWkSxYsU4//zzvY4ip6BPnz4MHjyYxx57LOR/cXHOMWjQIDZt2sQHH3xAzZq6uVQuM+ORRx5hx44dvPTSS17HKZTx48dTvnx5unfv7nUUCYDP52PZsmX8+uuvXkfx1IEDB5g5cya9e/cuUndPEjkRM6Ndu3YakZGP5cuXk5WVpTuWRKgTFjKcc3EBbBpnIzElKSmJ+fPnR/1fTINp8eLFNG7cWEPIo9hzzz1HnTp1uO6669i3b9/JTzhFTzzxBJMnT2b06NF07NgxZO1Eq6SkJM4//3weffRRDhw44HWcU5KZmUlycjK9e/cmISHB6zgSAJ/PR1ZWFunp6V5H8dSnn35KZmamppWIHKNt27Zs3ryZn3/+2esoESX3O1MjMiJTICMyRIqUpKQkDh06VOR/4MvlnGPx4sWaVhLlypUrx9ixY9myZQt33nlnSNqYMWMG999/PwMGDAhZG7HgpptuYseOHYwZM8brKKdkxowZ7NmzR9NKokjbtm0xsyI/vSQlJYWKFSvSvn17r6OIRJTcdTI0veT3Fi5cSO3atalWLb8bb4rXVMgQOUaHDh2Ii4vT9BK/TZs2sXv3blq2bOl1FCmktm3bMnz4cN58802Sk5ODeu0tW7Zw9dVXc8455/Daa69p2PYJNGrUiJ49ezJ69Gj27NnjdZwCGz9+PBUrVqRr165eR5EAVahQgaZNmxbpQkZWVhbTpk2jR48exMfHex1HJKKcf/75lCxZUtNLjrFw4UKNxohgKmSIHKNChQo0b95chQw/LfQZW0aOHMmFF17ILbfcwk8/BWc5ofXr13PZZZdx5MgRJk+eTNmyZYNy3Vj28MMPs2fPHp566imvoxTIoUOHmDJlCn369NEirlHG5/ORnp7OkSNHvI7iiQULFrBz505NKxHJR8mSJWnVqlWRLnYe6+eff2bLli0qZEQwFTJE8pGUlMTChQujdg57MC1atIhSpUpx7rnneh1FgqB48eK88847HDx4kD//+c/k3KL71Bw6dIiRI0dy3nnn8d133zF+/Hjq168fxLSxq1mzZlx55ZU8++yz7Nixw+s4AZs+fTr79+/XtJIo5PP5OHjwIMuWLfM6iidSUlIoUaKEFqgVOY7cRYH1s2+OhQsXAmihzwimQoZIPpKSksjKyiItLc3rKJ5bvHgx559/PsWLF/c6igRJw4YNefLJJ5k+fTr//e9/T+kan3/+OU2aNOGf//wn/fv3Z926dfoFoYAeeughDh48yOOPP+51lICNHz+eypUrk5SU5HUUKSCfzwdQJP/i6pxj6tSpdO7cmXLlynkdRyQi+Xw+jh49yhdffOF1lIiQnp5OfHy87tgXwQpUyDCz5mY2wMzK+F+XMTNNNJSY065dO4oXL17kp5dkZWWxbNkyTSuJQX/5y1+45JJLuOOOO+jQoQP/+c9/+PHHH0963rZt27j22mt/Wx9hxowZvPvuuyQmJoY6csxp2LAh1113HS+88AJbt271Os5JHTx4kA8//JB+/fppjYEoVK1aNc4666wiWchYt24dX3/9Nb179/Y6ikjEatu2LXFxcUXyOyI/CxcupFmzZpQqVcrrKHIcARUyzCzRzBYCi4D3gNyfWJ8GomuCr0gASpcuTZs2bYp8IWP16tVkZGRooc8YZGa8//77jBo1it27dzN06FDOOOMMOnTowPPPP/+H9TOys7N5+eWXadiwIRMmTOAf//gHK1eupEuXLh59gtgwcuRIsrOz+de//uV1lJOaNm0av/76q6aVRDGfz0daWhrZ2dleRwmrqVOnAtCrVy+Pk4hErnLlynH++eczb948r6N47ujRoyxevFjrY0S4QEdkPAP8DJwOHMyzfwLQLdihRCJBUlISy5YtY9euXV5H8Uzu/ECNyIhNFSpU+K0gsWbNGkaNGsWuXbu44447qFmzJh07duT5559n7ty5tG/fniFDhtCsWTO++uorHnroIRISErz+CFGvbt263HTTTbz22mts3rzZ6zgnNH78eKpVq0aHDh28jiKnyOfzsWvXLtauXet1lLBKSUnhggsu4IwzzvA6ikhE69ChAwsXLuTw4cNeR/HUmjVrOHDggAoZES7QQsZFwP3Oud3H7N8E1ApuJJHIkJSUhHOOuXPneh3FM/PmzSMxMZGzzjrL6ygSYueccw7/+Mc/WLVqFatXr2bkyJHs3LmTO+64g06dOrFx40befvttZs2aRcOGDb2OG1MeeOAB4uPjeeihh7yOclz79+9n2rRp9O/fn2LFinkdR05RUVwnY9u2baSnp2taiUgAfD4fhw4dYunSpV5H8ZQW+owOgRYySgGZ+eyvAhwKXhyRyNGqVStKly7NzJkzvY7imdTUVHw+H2bmdRQJo0aNGjFy5Mjfihqvv/4669at4/rrr1dfCIEaNWpw22238c4770TsX8o//PBDDh06xJVXXul1FCmEP/3pT1SrVq1IFTI++ugjnHO67apIANq3bw9Q5KeXpKenU6lSJf0hL8IFWsiYBwzK89qZWTHgXqDo/pYnMa1EiRJ06NCBGTNmeB3FE1u2bOG7777TMPIirlGjRvz5z3/m9NNP9zpKTLv33nspXbo0I0eO9DpKvsaPH0/NmjVp166d11GkEMwMn89XpAoZKSkp1KpVi6ZNm3odRSTiValShXPOOadIfUfkZ+HChbRq1Up/vIlwgRYyhgE3m9kMoCQ5C3yuAdoBw0OUTcRz3bp1Y8OGDWzZssXrKGGX+49Y7lBkEQmdKlWqcOeddzJhwgSWL1/udZzf2bFjB9OnT+eKK64gLk53bY92Pp+P77//vkj8u3bgwAE+++wzLrvsMv1CIhKg3EWBjx496nUUT+zfv5/Vq1drfYwoENBPJM65NUATYAHwGZBAzkKf5zvnNoUunoi38t5isqhJTU2lfPnyNGnSxOsoIkXC3XffzWmnncaDDz7odZTfeeihhzh69Ci33nqr11EkCIrSOhnTp0/n0KFD9OvXz+soIlHD5/Oxb98+Vq5c6XUUTyxevBjnnAoZUSDgP6045352zo10zvV0zl3qnHvAOffTyc8UiV7nnnsu1atXL5KFjHnz5tG+fXst7CcSJqeddhrDhg1j2rRpLFiwwOs4AKxfv56XXnqJW265RYu8xogmTZpQvnz5IlHISE5OpnLlyr/N+xeRk8udUlwUviPyk7vQZ8uWLT1OIicTUCHDzG43s2vz2X+tmf01+LFEIoOZ0a1bNz7//PMiNcRux44drFu3TtNKRMJs6NChVK9enSFDhkTE7e+GDRtG6dKlGTVqlNdRJEiKFStGu3btYv6XlMOHD/PRRx/Ru3dv4uPjvY4jEjVq1apFrVq1iuyCn+np6Zx99tlUqlTJ6yhyEoGOyLgT+D6f/d8CdwUrjEgk6tq1K7t27Yq4eeuhlJaWBqCFPkXCrEyZMrz66qusXLnS89uxzpkzh5SUFIYPH07VqlU9zSLB5fP5WLt2Lb/88ovXUUJm5syZ7N+/n759+3odRSTqdOjQgdTUVJxzXkcJK+fcbwt9SuQLtJBxBpDfqlA/+N8TiVldunQB4LPPPvM4SfjMmzePhIQEmjdv7nUUkSKnR48e3HjjjTzxxBOkp6d7kiE7O5u7776bM888kzvvvNOTDBI6uaPtcovWsSg5OZny5ctz0UUXeR1FJOr4fD62bdvG119/7XWUsPruu+/Ytm0brVu39jqKBCDQQsbPQLN89l8AxG45XwRITEykadOmRaqQkZqaSqtWrShRooTXUUSKpKeffpozzjiDG264gYMHD4a9/ffee49ly5bx6KOPUqpUqbC3L6HVokULSpYsGbPTS7KyspgyZQo9e/akZMmSXscRiTq5xc6iNr0k948HGpERHQItZLwHjDGzrmZW3L91A54F3g1ZOpEI0a1bNxYsWMCBAwe8jhJy+/btY/ny5ZpWIuKh8uXL8+abb7JhwwZGjBgR1rYzMjIYMWIEzZs3Z+DAgWFtW8KjZMmStGzZMmYLGampqezcuVPTSkROUcOGDalcuXLMfkccz8KFC0lISOC8887zOooEINBCxkhgPvApcNC/fULO7Vgj6z5xIiHQtWtXjhw5wty5c72OEnJffPEF2dnZWuhTxGNJSUnccccdPPfcc8yePTts7T777LN8//33PPnkk8TFBXxzM4kyPp+PZcuWxWSBPjk5mYSEBLp37+51FJGoZGb4fL4iOSLjwgsvpHjx4l5HkQAE9BOKc+6Ic+5qoAEwELgGaOCcu8o5dySUAUUiQfv27UlISCgSt2FNTU2lWLFitGnTxusoIkXe448/Tv369Rk8eDD79+8PeXvbt2/nscceo3fv3nTs2DHk7Yl3fD4fR48e9WwdllDJzs5m8uTJdO/enTJlyngdRyRqdejQgW+++YatW7d6HSUsMjMzWbZsmaaVRJEC/anFObfROTfBOfeBc65orf4iRVqpUqXo0KFDkVgnY968eVxwwQWULVvW6ygiRV7p0qV56623+P7777n77rtD3t6oUaPIyMjg3//+d8jbEm+1bduWuLi4mBs6vnjxYrZu3appJSKFlDsyN9a+I45nxYoVHD58WAt9RpHjFjLMbIyZlcnz/Lhb+OKKeKdr166sXbuWH374wesoIXP48GEWLVqkaSUiEaRt27bcc889vPrqq3zyyScha2ft2rW88sorDBkyhLPPPjtk7UhkKF++PE2bNo25X1KSk5OJj4+nV69eXkcRiWpNmzalbNmyRWZ6yYIFCwAt9BlNTjQiowlQPM/z422NQxlQJFJ069YNIKanlyxevJjDhw9roU+RCPPQQw9x7rnncuONN7Jr166QtDFs2DDKlCnDyJEjQ3J9iTw+n4/09HQyMzO9jhIUzjkmTZrERRddxGmnneZ1HJGoFh8fT7t27WKu2Hk8s2fPpm7dutSqVcvrKBKg4xYynHOdnXN78jw/3pZU2BBmVsnMZpjZRv9jxeMc962ZrTSzL81sSUHPFymMJk2akJiYGNPTS3Kr7u3bt/c4iYjklZCQwNtvv82OHTsYOnRo0K8/a9YsPvroI+6//34qV64c9OtLZPL5fGRkZLBs2TKvowTFypUr2bRpk6aViASJz+dj1apVISugR4rs7Gzmzp1Lp06dvI4iBVDg5cjNLNHMgr2M+X3ATOdcfWCm//XxdHbONXPONT/F80VOiZnRtWtXPv/8c7Kzs72OExKpqak0atSI008/3esoInKMCy+8kAceeIB3332X5OTkoF03Ozubu+++m9q1a4ekSCKRK9bmwCcnJ2Nm9O7d2+soIjEh9zsiLS3N4yShtWLFCnbv3k3nzp29jiIFEFBBwsyKm9m/zWw/sBWo49//hJn9NQg5egNv+5+/DVwe5vNFAtKtWzd++eUXvvzyS6+jBN3Ro0eZP3++ppWIRLARI0ZwwQUXMGTIELZv3x6Ua44dO5Yvv/ySxx57jISEhKBcU6JDYmIi9evXj6lCRvv27UlMTPQ6ikhMaNmyJSVKlIiZ74jjyb3FuQoZ0SU+wONGAr2Aa4H38uxfBNwL/LeQORKdcz8BOOd+MrOqxznOAZ+ZmQNeds69UsDzMbNbgFsg5x/wOXPmFDJ6+B04cCAqc8eC0qVLA/Dyyy9z9dVXe5wmuDZs2MD+/fs5/fTTPe1f6t8S6wrbx2+//XZuvfVWOnbsyLBhw6hbt+4pX+vgwYPcc889NGzYkGrVqun/e0XQWWedxZw5c5g1axZxcYUfcOvVd/gPP/zAypUrue2229SPJWSK4s8oDRo04KOPPqJHjx5eRwmZiRMnUrNmTb7++mu+/rpo35gzqvq4c+6kG7AJ6Oh/vh+o53/eANgT4DU+B1bls/U+9hrA7uNco4b/sSrwFdDB/zqg84/dLrzwQheNZs+e7XWEIq1JkyYuKSnJ6xhB9+yzzzrAfffdd57mUP+WWBeMPj5hwgRXqVIlV6xYMXfPPfe4/fv3F+j8I0eOuJdfftlVr17dmZlLTU0tdCaJTm+++aYD3MqVK4NyPa++w5944gkHuC1btnjSvhQNRfFnlBEjRrj4+Hh34MABr6OERFZWlqtQoYK7+eabvY4SESKtjwNL3HF+lw+09F4D2JLP/ngCHNXhnOvinGuczzYV2GZm1QH8j/mOl3XO/eh/3A5MBlr63wrofJFg6Nq1K2lpaRw8eNDrKEE1b9486tSpw5lnnul1FBE5if79+7N+/XoGDx7Mk08+ScOGDZk4cWJuMf+4nHNMnjyZxo0bc+utt1K3bl3S0tK0wG8RljuUOpS39g2H5ORkmjdvrjsOiASZz+cjKyuL9PR0r6OExJdffsnevXu10GcUCrSQsRrIb+L8lcDSIORIAW7wP78BmHrsAWZWxszK5T4HupEzoiOg80WCpVu3bmRmZsbUfbWdc6Smpv62qJOIRL7KlSvz6quvsmDBAipXrswVV1zBJZdcwsaNG/M9Pi0tjXbt2tG3b1/MjClTppCWlkbbtm3DnFwiSe3atbnggguCuoBsuP3www8sXLhQdysRCYG2bdsSFxcXUz/35qX1MaJXoIWMh4D/mNn9QDHgCjN7k5y7gzwchByPA13NbCPQ1f8aM6thZh/7j0kE0szsK3LW5pjmnJt+ovNFQsHn81GiRImYug3r+vXr2bFjhxb6FIlCbdq0YcmSJTz33HMsWLCAxo0bM3LkSDIyMgBYs2YNvXv3xufzsWXLFl599VVWrlxJ7969MTOP00sk6NevH+np6WzdutXrKKdk8uTJACpkiIRA+fLladasWcwu+Dl79mwaNGhA9erVvY4iBRRQIcM59yE5oy+6AdnkLP5ZH+jlnPu8sCGcczudcxc55+r7H3f59//onLvU/3yzc66pfzvXOffIyc4XCYXSpUvj8/mYMWOG11GCJvcfJ43IEIlO8fHxDB06lPXr19OvXz/++c9/0rhxY66//nqaNGnCnDlzeOSRR9i4cSM33XQT8fGBrvUtRUFuASC3IBBtkpOTOffcc2nQoIHXUURiks/n44svviAzM9PrKEGVlZVFamqqRmNEqYCXp3bOfeqc6+icK+ucK+2ca++ci50/SYsUQLdu3Vi1ahU//vij11GCIjU1lapVq3L22Wd7HUVECqF69eq89957zJw5k+LFizNu3DiGDh3Kpk2bGDFixG93XhLJq2HDhpxzzjlROb1kx44dzJs3T6MxREKoQ4cOHDp0iKVLg7GiQORYunQp+/fvVyEjShXoPltmlmRmt/u3pFCFEol0Xbt2BeDzzws9ICkizJs3D5/Pp2HmIjEiKSmJVatWsXv3bp555hkqV67sdSSJcP369WPu3Ln88ssvXkcpkJSUFLKzs1XIEAmh3AWhY216Se5tRjt27OhtEDklARUyzKyumS0HPgOG+bfPzGy5mdULZUCRSNS0aVOqVKkSE+tkfPfdd2zZskXTSkRiTHx8PGXKlPE6hkSJvn37kp2dzdSp0bVeenJyMnXr1qVp06ZeRxGJWVWrVqVBgwYxt+Dn7NmzadSoEYmJiV5HkVMQ6IiM14F9QD3nXC3nXC2gHrAHeC1E2UQiVlxcHF26dOHzzz8nOzvb6ziFkltd10KfIiJFV7NmzahTp05UTS/Zu3cvM2bM+O1OPCISOh06dGD+/PlR/3NvriNHjpCWlqZpJVEs0EJGG2Coc+673B3+53f53xMpcrp168a2bdtYuXKl11EKJTU1lfLly3Peeed5HUVERDxiZvTt25fPP/+cvXv3eh0nINOmTePIkSOaViISBj6fjz179rBq1SqvowTF4sWL+fXXX1XIiGKBFjK+A0rlsz8B+D54cUSiR+46GdE+vSQ1NZW2bdtSrFgxr6OIiIiH+vXrR2ZmJh9//LHXUQKSnJxM9erVad26tddRRGJe7hTkWJleMnv2bEDrY0SzQAsZdwNjzKy1mRXzb62BZ/3viRQ5NWvWpFGjRlF9G9ZffvmFNWvWaFqJiIjQunVrqlWrxqRJk7yOclK//vorn3zyCX369CEurkBr14vIKahduzZnnnlmzBQy5syZQ5MmTbQYdhQL9Jv/faAZMB845N/mAxcA75rZvtwtJClFIlS3bt2YN28eGRkZXkc5JWlpaQBa6FNERIiLi6NPnz588sknHDx40Os4J/T+++9z8OBBrr76aq+jiBQJZkbnzp2ZOXMmWVlZXscplMOHDzN//nxNK4lygRYy7gBuBv4M3OTf/uzfd8cxm0iR0bVrVw4fPvxbQSDazJs3j5IlS9KiRQuvo4iISATo168fBw8ejPhpky+99BKNGzemXbt2XkcRKTJ69uzJrl27SE9P9zpKoSxatIiMjAwVMqJcfIDH/c85l+8StWZW3jmnkRhSJHXs2JHixYvz2Wef/bZmRjRJTU2lVatWlCxZ0usoIiISATp06EClSpVITk7m8ssv9zpOvhYvXszSpUt54YUXdLcSkTDq1q0b8fHxTJs2jfbt23sd55TNnj0bM9P6GFGuILdf/QMzqwBE7wIBIoVUpkwZ2rdvHzULo+W1f/9+li9frmklIiLym+LFi3PZZZeRkpJCZmam13Hy9eKLL1KmTBmuvfZar6OIFCkVKlTA5/Px0UcfeR2lUGbPnk2zZs2oWLGi11GkEAItZLQ2s9F5d5jZacDngEZjSJHWt29f1qxZw+rVq72OUiBffPEFR48e1UKfIiLyO3379mXv3r2/reofSXbv3s24ceO45pprKF++vNdxRIqcnj17smrVKrZs2eJ1lFNy6NAhvvjiCzp16uR1FCmkQAsZFwMDzOw++K2IMQPYC/QMTTSR6NC/f3/i4uIYP36811EKZO7cucTFxdGmTRuvo4iISATp2rUrZcuWJTk52esof/D222+TkZHBX/7yF6+jiBRJPXvm/Oo3bdo0j5OcmvT0dA4fPqz1MWJAQIUM59x35BQz7jazu8kpYuwBejrnDocunkjkq1atGp06dWLcuHE457yOE7ApU6bQrl07ypUr53UUERGJIAkJCfTo0YMpU6Zw9OhRr+P8xjnHSy+9ROvWrWnWrJnXcUSKpLPPPpuzzjoraqeXzJ49m7i4OI1IjgEB33jbObcWuBQYCewip4hxKFTBRKLJgAED2LhxI19++aXXUQKyZs0a1qxZwxVXXOF1FBERiUB9+/Zl+/btzJ8/3+sov5kzZw7r16/XaAwRj/Xs2ZNZs2bx66+/eh2lwGbPns0FF1xAhQoVvI4ihXTcQoaZrTSzFXk3chb9zALqAIvz7Bcp0vr27Ut8fDzjxo3zOkpAJk6ciJnRr18/r6OIiEgEuuSSSyhZsmRETS958cUXqVSpkorwIh7r2bMnhw8fZtasWV5HKZCDBw+Snp6uaSUx4kQjMiYCk/LZngPeO2afSJFWuXJlunTpwvjx46NiesmECRNo164dNWrU8DqKiIhEoHLlynHxxReTnJwcEf+u/fTTT0yePJlBgwZRqlQpr+OIFGk+n49y5cpF3fSSBQsWcOTIES30GSPij/eGc+4hADOLB7oBC51zO8MVTCTaXHXVVQwaNIiFCxfSunVrr+Mc17p161i1ahXPPfec11FERCSC9e3bl5SUFJYsWUKLFi08zfL666+TlZXFkCFDPM0hIlCiRAm6devGtGnTcM5hZl5HCsicOXMoVqwYPp/P6ygSBCddI8M5lwUkA1oRUOQELr/8ckqUKBHxdy+ZMGECgKaViIjICfXq1Yv4+HjPp5ccPXqUV155hS5dulC/fn1Ps4hIjp49e7J161a++uorr6MEbPbs2TRv3lwL3ceIQBf7/Ao4K5RBRKJdhQoVuOSSSxg/fnxErfJ+rNxpJTVr1vQ6ioiIRLBKlSrRuXNnJk2a5On0kmnTpvH9999rkU+RCHLJJZcARM30kgMHDrBo0SKtjxFDAi1kjAKeMrPLzexMM6uUdwthPpGoctVVV/HTTz+RlpbmdZR8rV+/npUrV2qhNBERCUjfvn3ZuHEjq1ev9izDSy+9RI0aNejVq5dnGUTk9xITE2nZsiXTpk3zOkpA5s+fT1ZWlgoZMSTQQsY0oAk5U0y+BXb4t1/8jyJCzjC7UqVKRez0Ek0rERGRgujduzdm5tn0km+++Ybp06dz0003Ubx4cU8yiEj+evTowcKFC9m+fbvXUU5q9uzZxMfH07ZtW6+jSJAEWsjonGdLyrPlvhYRoGzZsvTq1YuJEyeSlZXldZw/mDBhAm3btuWMM87wOoqIiESB6tWr07ZtW88KGS+//DJxcXHcfPPNnrQvIsfXs2dPnHN88sknXkc5qTlz5tCyZUvKli3rdRQJkoAKGc65uSfaQh1SJJoMGDCAHTt2MHv2bK+j/M6GDRtYsWKFppWIiEiB9OvXj6+++opNmzaFtd3Dhw/z+uuv06tXLxXgRSLQ+eefT40aNSJ+esn+/ftZsmSJppXEmEBHZGBmiWb2TzObaGYTzGyUmSWGMpxINLrkkksoV64c48aN8zrK7+ROK+nfv7/HSUREJJr06dMHgHfffTes7U6aNIlffvlFi3yKRCgz49JLL+XTTz8lMzPT6zjHlZqaytGjR1XIiDEBFTLMrB3wNTAQyAAOAdcCG82sTWFD+BcNnWFmG/2PFfM5poGZfZln22dmd/rfG2VmW/O8d2lhM4mcqlKlSnH55ZeTnJwcUV/qEyZMoE2bNvqrloiIFEidOnW47LLLGD16NFu3bg1buy+++CJ/+tOf6NKlS9jaFJGC6dmzJ/v27YvYhe4BZs2aRYkSJWjTptC/tkoECXRExpPA+8DZzrnrnHPXAWcD44CngpDjPmCmc64+MNP/+necc+udc82cc82AC4GDwOQ8hzyT+75z7uMgZBI5ZQMGDGDPnj189tlnXkcBYOPGjXz11VeaViIiIqfkmWee4ciRIwwbNiws7a1atYq0tDSGDBlCXFzAA4hFJMwuuugiSpYsGbHTS7Kzs5kwYQKdO3emdOnSXseRIAr0X4ZmwFPOuezcHf7nTwPnByFHb+Bt//O3gctPcvxFwCbn3JYgtC0SdF27dqVixYoRc/cSTSsREZHCqFevHvfeey/vvfce8+bNC3l7L730EiVLlmTQoEEhb0tETl3ZsmXp1KkTH330kddR8pWamsp3333Hdddd53UUCbL4AI/bC9QF1h+zvy6wJwg5Ep1zPwE4534ys6onOf4qckaI5HW7mV0PLAHuds7tzu9EM7sFuAVy7n88Z86cQgX3woEDB6Iyd1HTpk0bJk2axLXXXkvJkiU9zfLWW2/RqFEjNm3aFPbF2gpK/Vtinfq4RKs2bdqQmJjI4MGDeeWVVyhWrNgfjglG/87IyODNN9+kQ4cOrFq1qlDXEgkmfX/nr0GDBnz66ae88847ETeFefTo0SQkJFCpUiX9bxeAaOrjgRYyxgGvm9kwYAHggPbA4/yxoJAvM/scqJbPW/cHmCH3OiWAy4DheXa/CDzsz/UwOdNd/pzf+c65V4BXAJo3b+46depUkOYjwpw5c4jG3EVNVlYWH3/8MQcOHODiiy/2LMemTZvYuHEjTz31VFT0G/VviXXq4xLNXnzxRfr27cvq1asZOnToH94PRv++++67OXjwIA899JDmtEtE0fd3/mrXrs2YMWP45ZdfuPbaa72O85uMjAzS0tK48sorueSSS7yOExWiqY8HOrVkGDAReIOcRT83Aa8BE8hnPYv8OOe6OOca57NNBbaZWXUA/+P2E1zqEmCZc25bnmtvc84d9U93eRVoGeDnEgmZTp06UbVqVc+nl2haiYiIBMvll19Ot27dePDBB9m2bdvJTyigyZMn8/TTT3PbbbepiCESJerWrUujRo0ibnrJhx9+yL59+zStJEadsJBhZp3MrIRzLtM59zegIjnrZZwPVHLO3eWcC8ZtGVKAG/zPbwCmnuDYqzlmFEhuEcSvD6BxiOK5+Ph4+vfvz0cffcSBAwc8yzFhwgRatWpFrVq1PMsgIiKxwcwYM2YMGRkZDB8+/OQnFMCmTZsYNGgQLVq04KmngrGWvIiES8+ePZk7dy779u3zOspvxo4dS40aNXTb1Rh1shEZs4A9ZjbTzO4HmgJrnHMrnHMHg5jjcaCrmW0EuvpfY2Y1zOy3O5CYWWn/+8nHnP9vM1tpZiuAzsBdQcwmcsquuuoqMjIy+PDDDz1pf/PmzSxbtkx3KxERkaBp0KABd911F2+++Sbp6elBuWZGRgb9+/enWLFiTJgwwfO1pUSkYHr27ElWVhYzZszwOgoAO3bsYPr06VxzzTX5rucj0e9khYyzgb8BPwN/BeaTU9j4xMz+bmbNzcwKG8I5t9M5d5Fzrr7/cZd//4/OuUvzHHfQOXe6c27vMedf55xr4pw7zzl3We7CoSJea9euHTVr1mTcuHGetK9pJSIiEgoPPPAANWrU4LbbbuPo0aOFvt7f/vY3vvzyS8aOHUvt2rWDkFBEwqlNmzZUrFgxYqaXjBs3jqysLE0riWEnLGQ45752zr3qnLvGOVcTaETOehl7gbuBhcDO0McUiU5xcXFceeWVTJ8+nT179oS9/QkTJtCiRQv9UCgiIkFVrlw5nnrqKZYtW8Zrr71WqGuNHTuWV199lfvuu48ePXoEKaGIhFN8fDzdu3fn448/Jjs72+s4jB07lqZNm9KkSROvo0iIBLrYJwDOuXXAJGAyOetYHADKhiCXSMwYMGAAmZmZTJkyJaztbt68maVLl2paiYiIhMSAAQPo2LEjI0aMYOfOU/u71urVqxkyZAgdO3bk4YcfDnJCEQmnnj17sn37dpYsWeJpjvXr17N48WKNxohxJy1kmNnpZtbPzJ43szXAd8BQckZiXEnOAqAichwtW7akTp06Yb97ycSJEwFNKxERkdAwM/7zn/+wd+9eHnjggQKfv3//fvr160e5cuV4//33iY+PD0FKEQmX7t27ExcX5/n0krFjxxIXF8fAgQM9zSGhdbK7lnwF/ADcCewhZ72MSs65ds65Ec65T51zv4Y8pUgUMzOuuuoqZsyYwfr168PW7oQJE2jevDl169YNW5siIlK0NGnShNtvv52XX36ZpUuXBnyec45bbrmFjRs38v7771O9evWTnyQiEa1SpUq0bdvW00JGdnY277zzDl26dNH3Sow72YiM+sBuYDOwCfg6yHcrESkS7rzzTsqUKcOdd96Jcy7k7X3zzTcsWbJE00pERCTkRo0aRZUqVbj99tsDnhv/4osvMm7cOB5++GHdGlEkhvTp04fly5ezbNkyT9pPS0tjy5YtmlZSBJyskFGBnOkjXwPXAavNbIuZvW1mg81Mf+oVCUBiYiKjRo1i+vTpYbkVa+60EhUyREQk1E477TSeeOIJ0tPTeeONN0hLS2Pr1q3HLWosWbKEu+66i0svvZT77rsvzGlFJJRuvPFGypcvz2OPPeZJ+2PHjqVMmTL06dPHk/YlfE5215Ijzrk059zDzrkkctbDuAH4BhgErDGzb0OeUiQG3H777TRq1Ig777yTjIyMkLWTmZnJG2+8wYUXXqhpJSIiEhbXX389SUlJvPvuu/h8Ps444wxKly7NOeecw6WXXsrtt9/O008/zaRJk7jiiiuoVq0a//vf/4iLK9C68yIS4SpUqMBtt93GpEmTwjqlGuDQoUNMmDCBvn37UqZMmbC2LeFX0FWVsvNsDjDgzGCHEolFxYsXZ8yYMXTp0oUnn3ySBx98MCTt/Otf/2LdunWeL7QkIiJFR1xcHJ9++invv/8+VapUYfPmzXzzzTds3ryZzZs3M3/+fPbt2wfk/HuYmprK6aef7nFqEQmFO++8k2eeeYYnnniCN954I2ztfvjhh+zdu1fTSoqIExYyzCweaAl09m9tgARy7lwyG3jd/ygiAbjooovo168fjz32GNdffz21a9cO6vWXLVvGo48+yg033ECPHj2Cem0REZETiY+P58wzz6RTp05/eM85x+7du9m8eTOVKlWiXr164Q8oImFRtWpVbr75Zl588UVGjRpFrVq1wtLu2LFjqVGjBklJSWFpT7x1svF8e4BU4C/AT8AdwFnOubrOuT8758Y6534IcUaRmPLUU08BcM899wT1upmZmQwaNIjExESeeeaZoF5bRESkMMyMSpUq0bx5cxUxRIqA3J9zc3/uDbUdO3bwySefMHDgQIoVKxaWNsVbJytk3A00dM6d4Zy7zjn3hnPum3AEE4lVtWvXZvjw4UycOJGZM2cG7br/+te/WLlyJa+88goVK1YM2nVFRERERAqiVq1aXHvttbz66qvs2LEj5O2NHz+erKwsTSspQk622OfLzrmN4QojUlT8/e9/p27dugwdOpQjR44U+nq5U0quv/56TSkREREREc/de++9HDp0iOeeey7kbY0dO5bzzjuP8847L+RtSWTQUtEiHkhISOCZZ55hzZo1PP/884W6VmZmJoMHD6Zq1ao8++yzwQkoIiIiIlIIDRs2pG/fvjz//PO/LfYbCuvXr2fRokUajVHEqJAh4pHLLruMiy++mFGjRrFt27ZTvs4jjzzCihUrePnllzWlREREREQixvDhw9m7dy8vvvhiyNp45513iIuLY+DAgSFrQyKPChkiHjEznnvuOTIyMrjvvvtO6RrLly/n0Ucf5brrrqNXr15BTigiIiIicuouvPBCunXrxtNPP01GRkbQr5+dnc0777zDRRddRI0aNYJ+fYlcKmSIeKhBgwbcddddvPXWW6Snpxfo3Ny7lFSpUiUscw9FRERERApqxIgRbN++nTfeeCPo154/fz7ffvutppUUQSpkiHjsgQceoHr16txxxx1kZ2cHfJ6mlIiIiIhIpOvQoQNt2rRh9OjRQVnkPq+xY8dSunRp+vTpE9TrSuRTIUPEY+XKlWP06NEsWbIk4Eq1ppSIiIiISDQwM0aMGMGWLVt4//33g3bdWbNm8eabb3LVVVdRtmzZoF1XooMKGSIRYODAgbRv357hw4fz1FNPkZKSwrp168jMzPzDsblTSipXrqy7lIiIiIhIxOvRowdNmjTh8ccfL9AI5OPZsGED/fv35+yzz+aZZ54JQkKJNvFeBxCRnEr1f//7Xy699FLuueee3/bHxcVRp04d6tevT/369Tn77LNZs2YNK1asICUlhUqVKnmYWkRERETk5MyM4cOHM3DgQKZOnVqoqSC7d++mV69eFCtWjA8//JDy5csHMalECxUyRCJEkyZN+P7779m1axcbN25kw4YNv3ucP38+Bw4cAODaa6/VlBIRERERiRpXXHEFDz74II899hiXX345Zlbgaxw5coQrrriCb775hpkzZ1KvXr0QJJVooEKGSISpVKkSrVq1olWrVr/b75xj27ZtfPvttzRr1sybcCIiIiIipyA+Pp5hw4Zx6623MnPmTLp06VKg851zDB06lJkzZ/Lmm2/i8/lClFSigdbIEIkSZka1atVo3bo1CQkJXscRERERESmQG264gerVq/Poo48W+NwXXniBl156iWHDhjFo0KDgh5OookKGiIiIiIiIhFzJkiW5++67mT17NldddRVr164N6LzPPvuMv/3tb1x22WWnVASR2KNChoiIiIiIiITFHXfcwYgRI/joo48499xzueaaa1i/fv1xj1+7di1XXHEFjRs35p133qFYsWJhTCuRKiIKGWZ2hZmtNrNsM2t+guO6m9l6M/vazO7Ls7+Smc0ws43+x4rhSS4iIiIiIiKBKlGiBI888gjffvstw4YNY8qUKTRq1IjrrruOjRs3/u7YnTt30rNnTxISEkhJSaFcuXIepZZIExGFDGAV0BeYd7wDzKwY8AJwCdAIuNrMGvnfvg+Y6ZyrD8z0vxYREREREZEIVLlyZR5//HG++eYb/u///o9JkybRsGFDBg0axKZNm8jMzKRfv35s3bqVKVOmULt2ba8jSwSJiEKGc26tc+7444lytAS+ds5tds5lAuOA3v73egNv+5+/DVwekqAiIiIiIiISNFWrVmX06NFs3ryZv/3tb4wfP54GDRrQsmVL5s6dy+uvv06bNm28jikRxpxzXmf4jZnNAe5xzi3J573+QHfn3E3+19cBrZxzt5vZHufcaXmO3e2cy3d6iZndAtwCkJiYeOG4ceOC/0FC7MCBA5QtW9brGCIhof4tsU59XGKZ+rfEMvXv8Ni5cyfvv/8+KSkpXH311QwePNjrSEVGpPXxzp07L3XO5bv0RHy4QpjZ50C1fN663zk3NZBL5LOvwFUY59wrwCsAzZs3d506dSroJTw3Z84cojG3SCDUvyXWqY9LLFP/llim/h0+/fr1Iysri/j4sP26KkRXHw9bz3DOdSnkJX4Azszz+gzgR//zbWZW3Tn3k5lVB7YXsi0RERERERHxiIoYciIRsUZGgBYD9c2srpmVAK4CUvzvpQA3+J/fAAQywkNEREREREREokxEFDLMrI+Z/QC0AaaZ2af+/TXM7GMA51wWcDvwKbAW+MA5t9p/iceBrma2Eejqfy0iIiIiIiIiMSYixus45yYDk/PZ/yNwaZ7XHwMf53PcTuCiUGYUEREREREREe9FxIgMEREREREREZFAqJAhIiIiIiIiIlFDhQwRERERERERiRoqZIiIiIiIiIhI1FAhQ0RERERERESihgoZIiIiIiIiIhI1VMgQERERERERkaihQoaIiIiIiIiIRA1zznmdwTNmtgPY4nWOU1AZ+MXrECIhov4tsU59XGKZ+rfEMvVviXWR1sdrO+eq5PdGkS5kRCszW+Kca+51DpFQUP+WWKc+LrFM/Vtimfq3xLpo6uOaWiIiIiIiIiIiUUOFDBERERERERGJGipkRKdXvA4gEkLq3xLr1Mcllql/SyxT/5ZYFzV9XGtkiIiIiIiIiEjU0IgMEREREREREYkaKmSIiIiIiIiISNRQIcNjZtbdzNab2ddmdl8+75uZjfG/v8LMLjjZuWZWycxmmNlG/2PFcH0ekbxC1L9Hm9k6//GTzey0MH0ckT8IRR/P8/49ZubMrHKoP4dIfkLVv83sDv97q83s3+H4LCL5CdHPKc3MLN3MvjSzJWbWMlyfRySvQvbvN8xsu5mtOuacyPk90zmnzaMNKAZsAuoBJYCvgEbHHHMp8AlgQGtg4cnOBf4N3Od/fh/whNefVVvR20LYv7sB8f7nT6h/a/NqC1Uf979/JvApsAWo7PVn1Vb0thB+h3cGPgdK+l9X9fqzaiuaWwj7+GfAJXnOn+P1Z9VW9LbC9G//ex2AC4BVx5wTMb9nakSGt1oCXzvnNjvnMoFxQO9jjukN/M/lSAdOM7PqJzm3N/C2//nbwOUh/hwi+QlJ/3bOfeacy/Kfnw6cEY4PI5KPUH2HAzwDDAO0Ird4JVT9+y/A4865wwDOue3h+DAi+QhVH3dAef/zCsCPof4gIvkoTP/GOTcP2JXPdSPm90wVMrxVE/g+z+sf/PsCOeZE5yY6534C8D9WDWJmkUCFqn/n9WdyKskiXghJHzezy4Ctzrmvgh1YpABC9R1+NuAzs4VmNtfMWgQ1tUjgQtXH7wRGm9n3wJPA8OBFFglYYfr3iUTM75kqZHjL8tl37F/fjndMIOeKeCmk/dvM7geygHdPKZ1I4QW9j5tZaeB+4B+FzCZSWKH6Do8HKpIzjPnvwAdmlt/xIqEWqj7+F+Au59yZwF3A66ecUOTUFaZ/RwUVMrz1AznzoHOdwR+Hnx3vmBOduy13WJD/UcM2xQuh6t+Y2Q1AT+Aa55+kJ+KBUPTxPwF1ga/M7Fv//mVmVi2oyUVOLlTf4T8Ayf6hzIuAbEAL2ooXQtXHbwCS/c8nkDPEXyTcCtO/TyRifs9UIcNbi4H6ZlbXzEoAVwEpxxyTAlzvX1W2NbDXP4znROemkPMliv9xaqg/iEg+QtK/zaw7cC9wmXPuYLg+jEg+gt7HnXMrnXNVnXN1nHN1yPkh4wLn3M9h+1QiOUL1M8oUIAnAzM4mZxG6X0L+aUT+KFR9/Eego/95ErAx1B9EJB+F6d8nEjG/Z8Z71bCAcy7LzG4nZ2X6YsAbzrnVZjbE//5LwMfkrCj7NXAQGHyic/2XfpycoZo3At8BV4TxY4kAIe3fzwMlgRn+0cjpzrkh4ftkIjlC2MdFPBfC/v0G8Ib/ln6ZwA0aWSdeCGEfvxl4zszigUPALWH8WCJA4fo3gJm9D3QCKpvZD8BI59zrRNDvmaZ/O0REREREREQkWmhqiYiIiIiIiIhEDRUyRERERERERCRqqJAhIiIiIiIiIlFDhQwRERERERERiRoqZIiIiIiIiIhI1FAhQ0RERELCzAaZ2QEP269oZtvM7E9hau9JMxsTjrZERESKMt1+VURERArMzE72A8TbwF+Acs657WGI9AdmNhqo7JwbHKb2qgCbgGbOuc3haFNERKQoUiFDRERECszMquV52RN4FaieZ1+Gc25veFP9f2ZWGtgK9HLOpYWx3YnAN865v4erTRERkaJGU0tERESkwJxzP+duwJ5j9znn9h47tcTMRpnZKjO7wcy+NbMDZvammZUws7+a2fdmttPMnjazuDznlTCzJ8zsBzP71cwWm9nFJ4l4KZANzM9zneJmNsbMfjSzw/72Hi9IO2bW0MxSzGyvP/8XZtYkzyEpwNWn8J9UREREAhTvdQAREREpUuoAvckZxVETmARUA34GugENgQ/IKUBM8p/zJvAnYCDwAzlFig/NrIVz7qvjtOMDlrrfDz0dCvQBrgK+Bc4AGuR5/4TtmFkNIM2frSs5BZyWQLE811gE1DSzPznnNgX6H0VEREQCp0KGiIiIhFMxYLB/2skqM5sOdARqOucygbVmNh/oDEzyL9R5NVDHOfed/xrPm1kX4Fbgr8dppzbwUz77NgCp/gLHd8ACgADbuQ34FbjCnxX/9fL60f9Yh5z1MkRERCTIVMgQERGRcPrumLUztgEb8hQGcvdV9T+/ADBgjZnlvU5JYNYJ2inlv05ebwEzgA1m9hnwMfCJcy47wHbOB9KOyXqsjDzti4iISAiokCEiIiLhdOSY1+44+3Kna8T5X7fI57gMju8XoOLvLurcMjOrA3QHksi5s8pXZtY1wHaMk6vkf9wRwLEiIiJyClTIEBERkUi2nJwCQjXn3OwCnjfo2J3Ouf3ABGCCmb0FpANnBdjOMuBaMytxglEZjckphKwsQFYREREpAN21RERERCKWc24D8C7wlpn1N7N6ZtbczO4xs74nOPVT4BwzOz13h5n9n5ldbWbnmNlZ5CzquQ/4IcB2/guUBT4wsxZmdpb/es3ytOsjZw2Og0H7jyAiIiK/o0KGiIiIRLrB5NxR5N/AOuAjoAOw5XgnOOdWknMHkavy7N4P/N2/fxnQDLgkT9HhhO0457b6X5cAZpMziuMOICtPG1cDr57qBxUREZGTs9/flUxEREQkNphZd+A5oJFz7mgY2usBjAbOc85lnex4EREROTUakSEiIiIxyTk3HXgBOCNMTZYh59ayKmKIiIiEkEZkiIiIiIiIiEjU0IgMEREREREREYkaKmSIiIiIiIiISNRQIUNEREREREREooYKGSIiIiIiIiISNVTIEBEREREREZGooUKGiIiIiIiIiESN/wekxP3lWHM1BAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1296x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=1, figsize=(18,12))\n",
    "axes[0].plot(t, z1*1000, 'black')\n",
    "axes[1].plot(t, z2*1000, 'black')\n",
    "axes[0].grid(True)\n",
    "axes[1].grid(True)\n",
    "axes[0].set_title('Tool Displacement Z v/s Time',  fontdict={'fontsize':18})\n",
    "axes[1].set_title('Workpeice Displacement Z v/s Time',  fontdict={'fontsize':18})\n",
    "axes[0].set_xlabel('Time (sec)', fontdict={'fontsize':14})\n",
    "axes[1].set_xlabel('Time (sec)', fontdict={'fontsize':14})\n",
    "axes[0].set_ylabel('Tool Displacement Z (mm)', fontdict={'fontsize':14})\n",
    "axes[1].set_ylabel('Workpeice Displacement Z (mm)', fontdict={'fontsize':14})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "847e116f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "edc9e332",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}