PPP模式下的融资结构优化

时间:2022-03-30 10:52:58

PPP

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PPP

shangfr

2015年11月12日

PPP模式下的投资分析方法

这篇文章的整体思路是通过设定净现值NPV函数计算内部收益率IRR,然后研究IRR与融资结构K的关系,从而指引*和企业在PPP项目谈判阶段找到满意的融资结构。NPV函数在计算过程中,考虑到了收益率、维护成本和折现率等参数的风险波动,即根据经验假设其服从某一分布状态。

PPP是英文“Public-Private Partnership”的简写,中文直译为“公私合伙制”,简言之指公共部门通过与私人部门建立伙伴关系提供公共产品或服务的一种方式。 一般情况下,PPP模式是公私合营各种模式的统称。此处是作为一种独立而具体的模式。就此而言,PPP 融资模式主要应用于基础设施等公共项目。首先,*针对具体项目特许新建一家项目公司,并对其提供扶持措施,然后,项目公司负责进行项目的融资和建设,融资来源包括项目资本金和贷款;项目建成后,由*特许企业进行项目的开发和运营,而贷款人除了可以获得项目经营的直接收益外,还可获得通过*扶持所转化的效益。

定义

净现值(net present value,NPV)是指投资方案所产生的现金净流量以资金成本为贴现率折现之后与原始投资额现值的差额。净现值法就是按净现值大小来评价方案优劣的一种方法。净现值大于零则方案可行,且净现值越大,方案越优,投资效益越好。

内部收益率(Internal Rate of Return (IRR)),就是资金流入现值总额与资金流出现值总额相等、净现值等于零时的折现率。如果不使用电子计算机,内部收益率要用若干个折现率进行试算,直至找到净现值等于零或接近于零的那个折现率。内部收益率,是一项投资渴望达到的报酬率,是能使投资项目净现值等于零时的折现率。

经济评价及步骤描述

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9R25cZl1Xv0dFR9l/buCqf+tSnvtalTE1Nscj+9OnTsixAi4F9Qc2wNkj+awvw2HdYSXLWZF+Kp9WlLUjGAUtEcXjnqFhjkpt+V+LM/DR7ffys6FqmNLIyjIjBX6b6mGI+O7/tioxL+WTMN9mGBo4pw56lfR/KOUL8E/nlwoO8bV+5Yoad+6WhxZpC8FpZrHgl7zCsSxl51wWPUPcog7ao53ulsLqqi93LJd/jdAVzKHNmRs44YvEupeLpcbr6KS3PO5c1UduXhbysej///PPPPPMM2bYXkWUBWgwKGtTMlp6fHvvWF/tqk5yiQ1e73gULQ5dSyXNyDJf1WWLRKIpfXR26AvKx6jBXsOsafqUf2esVjxX78s8ail9dM468yAN3/rfBse8B31xbhte+VGjK3OUg+zLTvsmucqgLgF3uCNlTXpq/g5xGpdz4lGjPZF928DOz2dV1dgCuixV2MWQvk8J/iJ0ypa/+3BEhqve1a9eYg5966inyUW9x+/ZtURSgpcC+oGbY+Sn/FT1ylsvxryfnM0vn9f2+Ve3Lh/Xu0IS5rlFUwThyYhY/OcsUqOs2piNxxjcxaIjT3DSLSo0bOT7W2rZ1ePseylwRU2bPpSb3fTk+MTSwd3pi2O0n5aJEj8e+dFc91CD7iosMbt+sp7fYKnZ3cfP38WXjY/P50gZ9ovX6cuHWiSm+7LatbTFci12paEautRy1ejMHf/azn3322WfJSpwu7vf92te+Jr6jvA9aDAoa1Ezk52fRvDpPa2iwdv90QqxRzB9nmqk98+xZG8uNNay3ooB9crKSwGoXqRhb5BMSo2Qa/GidrHWNsS//J/928ikZ+yofY9k3YKErn31Fn7cy5DvQvuzT9O8ZbF/1fViAe5DyDcL39uttqS/m5ExunifgVycbW2xfwY0bN2wHw76gWaCgQc1Efn7SWspNGXVVXjfmxoPUS9DKz300ryZoMrFXKtrhQiQYVWkOosv5QMJZqro19mUR+bhcRdKN274inaCO/6pgXz80YHttOYx9bTz29UvdGnG21bGvyt27d3+dkPe7Dtg3YlDQoGa29PysYl9rio5bMAKu3n3aTXvcWAL2zrexcEmFXqzZmIiE6u4JJpR9HcS0Wi7RWu2rvj7YvnKcl38g92PzzWOprPheord7/Hj2irVsiN+FPsSq14vJ2ZnkBYpWw8W+Nj77BkFD4ULMBGsmlav3gwcP5L+6Dtg3YlDQoGa29PysYl/+b47Pvkx1MxXXUHSxUVg+RUOadYtFK5/FM9Uxe3WIomlckq/nXcvugJJDy1Bvd9La7M9fZuGxsKl31BKNea7VvuzqY0kZ8zw3NbbLfxgW9igqvimF2KyJplOL9aJ9lx1ilBlfGISPt3KtI0b2Falj5StY3QHyRQ4V7MsPw9o/SlwZeFfmajU9qx/YN2JQ0KBmtvT89Nl38SZfaIk39HzcEB/ZxIfa8sjVWVWqYMzbI5Ybx4mzrx6ePOZaTosFhfane7VB6nVUraLa1IZ/0wD70i4Im0K0TIeDe86c/3qMvCgVLnpPGdSl6g/BefDK/nZkOslCYO/xsDLMiUUuPcPCy/dyc0czyupXNk2NfTcK+Uu0DQMVYxM2PK6NntUP7BsxKGhQM1t6fjIn7bU2EFzLzRygOPIh36VA6c3lMeXM/DV/2NoUCtnZyVO31u/lL/mS0gQFxHG3pTYKxunUm0GhdymfTvqspkTSnHLRODbrS5vzqw3u2s2SeVN7eVEu3L4u30TssySWuMpa8WUg5cLyQjzmzmkHQcfmXxqaO1671Daz74GAzYMtxOA4Z2BadPSsfmDfiEFBg5rB+Qm6mJ6t3rBvxKCgQc3g/ARdTM9Wb9g3YlDQoGZwfoIupmerN+wbMShoUDM4P0EX07PVG/aNGBQ0qBmcn6CL6dnqDftGDAoa1AzOT9DF9Gz1hn0jBgUNagbnJ+hierZ6w74Rg4IGNYPzM0oePHhwl1hbq7BtEWgaPVu9Yd+IQUGDmhGnKADdiqzoPQbsGzEoaADaGrtNnJqakg8B0AJg34hBQQPQ1sC+IBpg34hBQQPQ1sC+IBpg34hBQQPQ1sC+IBpg34hBQQPQ1sC+IBpg34hBQQPQ1sC+IBpg34hBQQPQ1sC+IBpg34hBQQPQ1sC+IBpg34hBQQPQ1sC+IBpg34hBQQPQ1sC+IBpg34hBQQPQ1sC+IBpg34hBQQPQjrzxxht7iE996lOiTfzoRz8qHkkkEvJFADQP2DdiUNAAtCM3btx46qmnRGuowh68efOmfBEAzQP2jRgUNADtyKNHj1iwK1pDFeSfQYuAfSMGBQ1Am/LKK6+I1tDmIx/5yIMHD+TTADQV2DdiUNAAtCm3b99+9tlnRYPI+Mmf/MlvfOMb8jkAmg3sGzEoaADal+eff140iIzR0VH5KAAtAPaNGBQ0AO3L66+/LhrEZ5555u7du/JRAFoA7BsxKGgA2pcHDx4w77IGkWlYPgRAa4B9IwYFDUBb88ILLzz//POPHj2S9wFoDbBvxKCgOxhxqgAAugZ5bm8FsG/EoKA7GJwnAHQTW3tGw74Rg4LuYHCeANBNbO0ZDftGDAq6g8F5AkA3sbVnNOwbMSjoDqbp58lmfv7F+JmL+UJZ3C/dMwsb4p8uyoV3b1uvcVHKJ2cS6axhFulucdX8UPeyMNw34hOJ7EpJ3q2XopHYPpW6aoZ7n3LJfM8s1XfIni9bNPOrrg9lRxKLL9hlq2GjYN5r9Pvq+KtvZ/7B//sP33rnXumJfKQi4kc06i0HP8WV9MHZZDavrUtVYL/ITecPyyuZmbkMOzR5PzSF7OzkqVthD+BhPn0y8FM286nxeGap0g9ZN1trPtg3YlDQHUzzz5NCdrpvePrE27Jl4XdjifRiLptVbouZeKyfPa5RI2u4d/cPzBlF8fdrucnhsfgZ95/TLR0fG5iaXw5swcrr2dmBbUOT89ekyAUbhdt3amn1ykVjbqiPvc/CSiiXbBay+/sHplKLvgN2bmcSo+OHjXXf27HLhdh08px42YXk1JBakj/eWM8eGOobHJu7Gnz8/NOHJpMXXB8XfFtMTm+fyayo5aNnM5/c2TfyO5fWNuUDnCellevvrKuPWDw20/v6R48aoVxVLq2uVv9FyvdyM8P9sbTpeWXJNCqrVPyhU1VYIY8njPv0XHhqrQbsL9aNudiQVtjMvttreata2Frzwb4Rg4LuYJp/nnDd7k7lrfaQNzQ7prNr8q6EFOtvSTn01PZkXjbqrK0c2WnfU+A+cF7mh/9hP7OXJTPHNwOVBeaGhUqxwf7RA4mZeG49VNxDotqfKwQeWXDjS999Mlvg/xYWP+B8aGk5NTo4NHnoy5Mn84GtNv1VpWJxIy6V0ncUez35y+/+m99PJlPu2z87OP5TfTtePHhMefC1xL7P9H/sV776J3/u+zQ6DPlF2JfaK38FdsHUFzt8dfnWku8XiWetQLloGkvOs86NX7H5LizOpSaH+a/s+gouymZ6D7tkSS5bL+Ae3Rk3ql9xuKDqpP4cYSgaiYFtmnpOFUBbqxtna80H+0YMCrqDaf55Et6+snX2YNtXpHCL7G6gfZ0Q2UO5lJ8f6xvck15xP00xWd94Kv9QPlAFEW7y17NI+uWZUMFKOPv6y4ShFgtr7ncpzqAj4a3/41L+5HTg1UOAfYvG4ZnkBX+M6PmxBE9Ka9/+j+baBwWFP79yZEffriNXVuX9QuGD//rd/0ov+W8PH/uy0R77Wl+KfZz6k2k/nf14hdVVbzmLr18p1RGAzpq8K6EOj6oKd1EuXD0SP6urG7y+Dc1kvVkO2Bc0CRR0B9P888RpUqkXM6R9S6ahRjMDU6kzLE7ieeOvx3dpU6mUmNVLjrWGh0dHZhcvfX3GFSZSLjqwDfXjfj0TwME9IYLmQPvyoqBkexj7ug1BRzI8m73HP5ynUncHRHsB9uWfqMaXFgH+IwH/WV5h+ezBn+kb+dLZG/L+v/vGK2O7fivz7YBuYGnf9cKddwsPXPalYysX8hfZpQD/dF1Bscrg7hMVP6j8ymqqubQ8r9eehAJfq9wcmBQnglWav6ivbL48irydSYwO9teUlIZ9QZNAQXcwTTpPlGwhzy7ydooarFji/JkEb/c9HbekWNW+Dnbs69wNin0/o23vSncyk/uoR5lHwHvsyEP0/43OB6dt3dDrXU0qf2Skatbasu8PC3lDGSUkwnFWMlfMh8tV7cu/nZ0d9X2utJHTJWxTwb66Twyy749/9MGNP/q902ez1k8WoJ8/ef/hX8m/4JRL5nV6nPr1RyemmZZGDyTs31ralw5ydP4d43hAkkCkHKxhAa6rDfGUEOrDfHK8vy+m60EnxC/oDz0ZPJYN/kMP1PswJH4O35VBPcC+oEmgoDuYpp8nFG0oDbq+3fcoVsXzlKffl2n+kjUcWgdT78wBJT/JGui95K3iSnpG5JDlM1Wgll2MG+KN73gifYmplLQ3WDnKcWLf0nJq8pg18ohSoML9QS507MuCsyMZ8zE9yI58vy/mLpdWFqYHtvWPxt0Da8PZl8V37NuwNwy0rxf6UppXPin957eOfPGot+uXvqy8uqIvxY6TWZldmfFj40n1PemVDfaegX0HVP7bjxvvG5n4ftLkRiF/WV7bcRPT1czoXC6wMpCnA0d+bRSMo7wTurqARdLbykNQV27YMDdoYL/fvvYv0jBbaz7YN2JQ0B1Ms88T0bHaFPuyQOrKfHrh65M7lHZqLTe5I7jt08324aHwyNjkhNVqh4FU7TTc/EPtsTNCwDw3HjAHybGveDEJ2JU6rm5f1uIfO0LKWc/GZzUxLvumbxvGOZHzVPo1Lfs+tDP5dJMjm0QGQgw4p0S0uaja98lf/OlrYzt/YXxienLKue3bvbOvf+for7se9Nx+M2l8X/ktxVA11b5q7LvBnt2VMO7zgtLXAQ7vaH8pu/6Q2c6OuflYcZnVWDmbmPMl0h3o6qTycO7Sexfi+yigv1JhZhT9cIqk/b+dZ06d04ciB/YfNr67zq4b5IN04z8HU7jdn2L9IiH6NaqyteaDfSMGBd3BNPk8Ec0u7wNL5sSlfH32HZg6/toBsg43n8e+zt2Seb16wCCi3m0BH+ejXLh1YmaPq4uU7CtdwikX3p7nQ20p9Mxe9kxCVe3LNcBDtEMp1rzaY1+r25f9czkVmzmeTM5fvWN62m52o+abh+bmHSN7XTlUO/Z1T/wN+sQqse+Tzb947/yXXvipz37+K//i3R/wLt4nmx/c/Ff/5v9XZdYvf9ttVA3mr5nrHvveej+9h5fPY+tQdddMEuUp6lBwLFhazQenQPhFT2zf7GungmdeUd/H6P7jXMDsUGlSnH9UGuWuXfPHXNcx1vvoh4PRr6kd2M9/DmSeQRNAQXcwzT1PKFBgbdnu44tpGerxhiag31enQyk2uzkTXW5OlMBHuFh36U0qJw9LKzmKPxLp0zxM9OZpvfBPnzngC2q99uWUC/k3+bgwErDqP5oY6kqoiq7KEWeOaRj7Bg2XrUJA5jnIsoH2fbJZWnvv0vzMr+5PZfMfPBYHUX78vW99deyn+z82/trN+8H+lVNj+yfP3aIvPjZqlR7/uH2J+Dj5TPQNxzMyEPTNi+UlPJ8SXb+2epkO547SeiNF8+r89Hb2PmrhcyjfcMSdkfZf7fHflLpyNwrLp6ZZeK1JMPDrtp2ju3+xUi5H/ck8BD8F+4ImgYLuYJp6noi0M7dvKn+f/5tJ6IE1wqhoHGZKkq+kPrxs1lkSi0c512loD4+ZnIaSt1OKtzyxbyXYR5wlVbPwiz7W9iUFOspHEyXTSM+n9Msz6exLlPmYXrczNP4Tg4PUzsKgb+Fqr6kHXfnu3k5E0rOdY5Bo7WuvFGEVhU2gfR++c2x3f9/gL4zve/Gzg5/87PjU//N/H/vZT/T3febzrzIb/7Bi6Eudvty+2QLNUeb/tvt9WdRrvk8ZC0+PvgqZ1cr3iksiO7gUOXzZ9Ss7v52RdOX1y/Mn/Jlk/y9YtSJRxzB7Z3dyHvatDOwbMSjoDqaZ5wmPU/emsqdFayX77Tas1oo9O37Ejgit3lPZM2d3ps4vm7dYm2X5gwy0zxp/xFAbzcBFKMuF5QUWV7EAK+txrLCscDC7WUF5xYC4gn11ePxHmeeBAxdunuOTl2THXij7Uhs9uCd9c+W6sC7T1ZQyakxIzjOOTGtfemUsvbLOCln0m1oE2vfHTz64Op/6l8Z73/1+6Yc/uPutk7+5e9dvpv71dx5sPvnzK0df+b3su9/f1CuY/2QDhzJnZuiLsIuqG5n4Lvml1J4CGr7EfyNPpkE+blUMmU1hip2Yjs1QBpiCZpldECPJtQOnFfh7uid/V/EfeT1GHf+eIoJ9KwL7RgwKuoNp3nlCSwjNZNfXg1orFqvN0LAj1iJnE6Mj065le3kzTYOZqc2S/pBZ3CtXj39GZpudzLOY0eRJO7P4Npec2RM/mZoc8aW76cbznGIUT4UeOw812ZcSAPaLefC3lwQp8s9i4BXpUPOG7vZaOuP2SnpGhHq8NOw4j571TVrV2Ze/UnyucJUyuifYvpzN4vfyb/1BfO8vfO6rf5xfd9bU2Fy7khjb+bmj/+pu0Wdg8SuvrrPDkF9EfKlFc+V86qSd3aXvsmv32ID/0/lAs5fF8DRO0TRuUCxLvwJ1o7Jf+S3b4uxOtdHC1BOvXsOJahnkP67eWXtlFdi3FmDfiEFBdzBNO094aHuQj7wNbq14VDQaz6TnpuPp4FlDqn25pYbixgPXOCYJb1KVNYy4d08k5xfFGKjKDZ9/DazK1GRffsyyYeUr/e5zBlqLIWk8aPshN7TtSGcAER02L6L4Ht7dyGI+7gxKAFCMqxjXlxUQ6PPeSv+xuAiwtK2375PNQv5fpY+9PLazv69/56/sP/LqP0sl/9mr8Zf58OZ9sbHxiemXfnt69Kf7/9bRG//DXZDsCGPs+mCDH4bLvuzf/KN3ivQ7H80US1y5lNoe7H4vQQkD9gmV5+BS5t8z+omXpCpRm43Cclq5SmiWfdnFpbLTA+wLmgQKuoNp0nnCGlYxQ6Zia8Xb3JGgNYYsqM0S/uBNJO/4dI8illScrxLcJnpbzzDUYl+uWD6dhh09n6fr+rKi/9UWqnTnZv7ky/J47MOmANrOypK2aYgQHQn/1tTpq1ms2GNfGjfkmaAlLgLEa/T2/fGTD7IzH2fu3zn29//hka+lv/mvrlz/o4M/07fryL+xI+Anj7/zh7/68X/41vfV1TYe5k8cp+shOgxZYvaXEr2524biV9dZCM50yHsl3J/OrqHUJaBdN3XAnXoTg++Cp+s4ob8C/+LaauDrzmiCfTcKxjHX4qCwL2gSKOgOpvnnScXWiqxTcZSyaLO4G8hVFLIE2jdwrYbgNrHF9uVfkB/V44KRTPinF/P1N2jxS67AHXQhwjx60CquoMOmTDUvE/aCGP8r/ucioe1Bsa9m6pSAwl8RCwbY98c//lHhvfz7q//292a+mqP0Mv0E/JVPPvi3//z1P/5373//8ZMf/ffCX7j9YavLZ18+52r/YWN1hY8UO/Tl2H7erct/C/p09o+XqhZvcOxbCbFqineBM6qH2i/uxftKb/0JrmnyqTPX+Nxx9wHwN4F9QRNAQXcwzT9PKtiXd9G9fWuRd38GL3xBbRbzB1+TQQom0L6Bw22C20Rv6xmG8PZlKp0YS17JZ0/OV7rCYIg4mF2I3L4W32cVV9Bhs7c9pF6ycCV4UqkSy74P7ywkT3tHOPsJtO+Pn5S+/cZv/nz/x3ZNp64XnojSFq8sP177d6dfGvtf9h3+g7f+zJqM5EG1L1062Ist82y8WLtK/Bb0nuwfv6b9Oip12FcMefOvueEkIeQDwShfXN4X9Yf3dFhD9HVJCAb9muwFnj0eGPxNYF/QBFDQHUzzzxOtfdNXjHR8j5zTKZe/8MyWcTdnl9/PHrTTttQCejcJplFXFe0rZrl4bnzUVcvsa4e2YaD9X2notV1cwRcNLpiMxfg1mrjlX2lSXR2i8o0P/1Z+LMmTzQ+u/97f3/2rR86/810Z3fok9N+//S//0djHtn1ylAfX8kEHnhi3vgitS3WCfkpSrzPo2rYvTw5XXQS0VvuKccvOUpSsgl3MLvEBB3z2sH66uZ/N/PyL8bNOl62rw1j0ZAdtue++7FCBfUGTQEF3ME0/TzyZOrrLBONZzaBoZufktB/XqGPZnL2Tv6Ru2aYNc7UPWgT70opd5N1QhLTvw3zyYDWFuJGLgdjH47Fv0E63tOAiuxaRU6fUTL6SeQ6DP/bd/AvzW7/3W3//8Dfe+fPHTza/f3Phqy/Fdopfyhss/uiDP/knv/QxrUV0lxHsyybnaaEMC7GSlKwGVTf5r8m+rIIdmfZl3eVUNP6JOimGgZdY6PoTNBwM9gVNAgXd7iwtLX3jG9+Qd9w0/TzhUlTXvuctrLJAoALFIt6FiggW0qm7A7H3ZPGHtyXdzC8cUaeuuljLzezXr8PM3usl36ITlSmvZGbmXNrQUC7lTx+up0Hn8au19Md9Y+5g0PLR4WD2PZp4s/okKklhKaEGdj/+H985/8/f+Dffue+ay/uXf/Effv9XP/bpX33t//t97wSjH31gfP2f3/hvvnlHpfyJuDLZumhePZ3SLIJRC7yre7ziiAFJufD268lT7kVIFHh+ouqvGQyzb6WtHcLB7DteZdm1utla88G+EYOCbnfYKfGTP/mTzz///LVr1+RDFjhPQHWelAp//rAVgRpoOlt7RsO+EYOCbnfsU+Kpp5767Gc/e/fuXfkE7AtAd7G1ZzTsGzEo6IbY03o+9alPiVNC8Oyzz/76r/+6cDC7Kw4DANAFbO0ZDftGDAq6IURljZ5nnnnmi1/8IvuHPA4AQOeztWc07BsxKOiGYDX1537u56ZaCXt/cUqoPP3008899xz7hzwOAEDns7VnNOwbMSjohmA1lVVZeac12KeE4CMf+civ//qv37hxgz3F7orXAAC6gK09o2HfiEFBNwSrqdHY99lnn33++effeOONBw8eyCdgXwC6i609o2HfiEFBNwSrqa22LzPuK6+8cvv2bXlfoSfPE75W1HTyvH+fpbK5MBs/4914X0vRSMTimUpb61SmXDSO7HHNta2HzXyS771ozxwtr2TGZ1Jyo6dw8Cm/9pZTm4XsIffOjzXAV1YZrWka61oufkR9PXuHF90roIFa2dozGvaNGBR0Q7Ca2mr7VqAXzxO+WKC6JU7RlNvXixX5aU91yUbh9h2dCmijgr7h6WSFFSQ29BstSGgZQv/e8jXiXQCSFoRSlh1Wl/IIgC/eZJcGLZXVF3PtwO+hbOZOLOm+NX0jp/Q2Cua9al+NjtbZgkksv1y5VD3QqqVM+fVfBnUbW3tGw74Rg4JuCFZTYd8IEeJ0Vo2m9aK5ftbXsrNy4325pqP9lLdl53vmD+rXkbZvchlI/X4StABn1cUOyyXzumsZ55JpuD+FjlA9Zvc2fJqlKH24FpsU9g1av1NAWxd413sS+/YrR8I/usJeGgLP4pHiiiRo36ogeCnxcnAtWdq7bO0ZDftGDAq6IVhNhX2jg4tTbJ3EIt0JZ/VpdUVMsSt+YALWHyLXihX4Vt4LgW8IQf52LZHtQhv71raAcM32ZYjjV7bu4aWqLgNJRcS+oLPYpBb30dLqxwH7BVVlo2AcHfPvJtR7bO0ZDftGDAq6IVhNhX2jgllhr729v7IhBAuI47NOoFZczWePjw7qNBa0aZ0HO5vtR/8OFTeNCKRa5tlH+UNz1f1kFfv6dpvniBTxSML4sGicml++42waSJTXs7PbA4qIlmtOpFlEz17usi/9HLpd//jGlCESy1zeg3vSK1Vf2N1s7RkN+0YMCrohWE2FfSOBhUfHpnkaucT3qI+foeCSUtDsHzEljSwStrro1vLKhybfJd5K8Ppv9A5DM1lNwpeHiSP+nHNo+5ZL5k07KC8Xbl93ZYCLZn7VVjGnXHhXvQxg8ntpwbWTbmX7clmOaIJvvlfBMWP9vcxL6VvG2QWXaO0NEBnl0uqq+2/V6wPVvrQpoSYfsJjhuxINjvm22fBA8t5We+K629jaMxr2jRgUdEOwmgr7RkB5/fL8SWGRatvouoTkUC5cPRzbTyEdvYPc375oGpe8w6cD3sETfKuEtq8YsO10Tle8CXWpo6h4lP+y6v6K9hVK8+zEbFM2F17msSZtM2x/KLuU2W5JlJLnyrgqhmpc5d9c87vGxk+q2Qb6dBZh35f3KyHC8W39YV/ftWztGQ37RgwKuiFYTYV9o4XcWWHMFI9cfe4s5TPJc1bQSR2flr95QDzgDs709qVR0DyO1KRzffZlUr+i6XgmS1UTjB0Bs+PcNeaZ11Q0EtuV/tFK9qV4VJsN5rA33+97yn1lw7PBnnLQ2pdn4/fMnL125ojyhkKoYa5IGPSLxE7mzuyrt+e4S9jaMxr2jRgUdEOwmgr7Rkudsa+CqhCGGEftbLru644lSqYhBzCzA6DUt6J8Gr3sGYm9rd87tFh8EIV37CCDxm3xq4fBseTNQv7ktCbO5qJysuIV7EtDuwNlxiw+LqJ/lfrsK0T+w6Jx/LBzYUHu3+6UcgXEBdCe9MomC5d7O/m8tWc07BsxKOiGYDUV9o2WumJfFR6AusdkuUNSO5AtF/IXNVNR6QDcXgmXeaYcr1A4n7UccJBcqOytNnx9rgIxO8jK0Abal0LPwFHEsnN3k31BV+mdS00OO2Urh21v63emA2nsu2EuzIqrhEJ21pE9fzZcICv6jEm6/IfY0ctjr7b2jIZ9IwYF3RCspsK+0VJX7KvOteVSGfQEr+rNCmRPJ0YH+Ygh74zhuu2roAkrLfjxB6WLCbp6kP3WQfYljWm7qDksLI4d0YWYdcS+b6/lb8qkPfvQcett+eVFuE5cWj7FMq4wce9OPdraMxr2jRgUdEOwmgr7Rktd9lVRX8DC26Xr7uG43rFLPpphX64c19ogzq1q7C4OwM5ga+y7wePj0fm8fpgxT4Dv1EelddhXLQbmzv3CuHzIVagcsph+rRwqyTjwuqHb2dozGvaNGBR0Q7CaCvtGCxmigcwzmdIOLkUiVx1X3ET7FlfSR45oV6risXjAes78Kc8FgQc5QpibT2vf9TuZmFiTxAVPpPPC2cYCeiW7WzSNJav0/JlnpzucIOO+ln1naTGTjE/7JlVz6fKgnIewIdLOovDH3YcqeserLiXWnWztGQ37RgwKuiFYTYV9o4XLj7fsPDIjAymP87itcDml24PBQnSIqmEZhV+Owyj56RsuxNWlKso9Zsoz6kp5sNpSkXo2CnY6V4eYShRg34njyf17AmNHd7exF0/sezvzFXsLB4JGclkLePljX8Z9Ix6bPXPqy2HSzvzddOlxvnIZK+Gqi6J0IVt7RsO+EYOCbghWU2HfrYHbV43h3ObgaKf9aORKq3DYPrZDW6bAK4p7tOtGSWrJPHP976yw1ge7ieFOgaljSs+KeUca+1b8Q4brTzz4y9ADu1KZsNZ/1tpXXhlY06mD4Yod0azCTdAo6G09KOCtPaNh34hBQTcEq6mwb+txrwghbmJmjjN4yp01dab9uBa94mtuVNliwQptz1CSNtzq/zX1+1Z/sTesD0Zj34ojtqQdPflkm6r2VdHZly+yHRsa3f2LlSN+/rLxIPUStPIzlX+DG0l1Flt7RsO+EYOCbghWU2HfKCiZ111zf6h30DU4NqQ5eDdnxW37uFRCG0jSTvatfBiiz7g19hVO5euWPORbBwbtMCG2wQjefMLCEjAt13WhN3Yh3NozGvaNGBR0Q7CaCvtGTrm0sjA94BmYU5M5vJQLq6siW8vH3IYzn4NQWhvalxfU7Iy6VKTMTrve3BnnRWtO1Wff0kouvj/xpp0ooL17ee7BvX1v6U5m5kDozQQ3CsunaHqYu/u5e9naMxr2jRgUdEOwmgr7RgpTRTo+Nhpf8MZCDdmXv629uETNqw2HSvnakH29Q7RcNzoSr325I32v5Ol3e+aStS60/c7WN1LXaqbhY0sembEHc3KMWPiNhmz7bhTyZw/HT17zClK4k7/nWPzMxXxhs2DMO+t9Ag1be0bDvhGDgm4IVlNh30jgXb8XTiTnF7MBeWMWt00osVcd0HjgejoamX0PeBdkDkSMulLjUR98sDHXVf1fpR421rMH91TbjEhhLRc/srC8fO3EvO9KSIFdNMgVOkF1tvaMhn0jBgXdEKymwr4AgKawtWc07BsxKOiGYDUV9gUANIWtPaNh34hBQTcEq6mwLwCgKWztGQ37RgwKuiFYTYV9QUu5du3aFPEHf/AH8iHQpWztGQ37RgwKuiFYTYV9QUux20QmYPkQ6FK29oyGfSMGBd0QrKZurX0BAN2EPLe3Atg3YlDQDcFq6hbaF/QCiH1BNMC+EYOCbghWU2Ff0FJgXxANsG/EoKAbgtVU2Be0FNgXRAPsGzEo6IZgNRX2BS0F9gXRAPtGDAq6IVhNhX1BS4F9QTTAvhGDgm4IVlNhX9BSYF8QDbBvxKCgG4LVVNgXtBTYF0QD7BsxKOiGYDUV9gUtBfYF0QD7RgwKuiFYTYV9QUuBfUE0wL4Rg4JuCFZTYV/QUmBfEA2wb8SgoBuC1VTYF7QU2BdEA+wbMSjohmA1FfYFreDGjRuLBJOuaBP/7t/9u+IRhnwRAM0D9o0YFHRDsJoK+4JW8Prrr4um0E8ikZAvAqB5wL4Rg4JuCFZTYV/QCh48ePDMM8+I1lDl4x//+KNHj+SLAGgesG/EoKAbgtVU2Be0iBdeeEG0hjZPPfXU7du35dMANBXYN2JQ0A3BairsC1rEtWvXPOHvF7/4RfkcAM0G9o0YFHRDsJoK+4IW8ejRo49+9KOiQWQ899xzyDmD1gH7RgwKuiFYTYV9Qev46le/KhrEZ5999ubNm/JRAFoA7BsxKOiGYDUV9gWt4+7du8y7rJphsi9oNbBvxKCgG4LVVNgXtJSf+7mfe+655x48eCDvA9AaYN+IQUE3RG/aV5yiAHQrsqL3GLBvxKCgG4LV1N60r/wXAF1Hz1Zv2DdiUNANwWoq7AtAN9Gz1Rv2jRgUdEOwmgr7AtBN9Gz1hn0jBgXdEKymwr4AdBM9W71h34hBQTcEq6mwLwDdRM9Wb9g3YlDQDcFqKuzbNMrrxtz+xJvLhbJ8oB4K2enReGYpX+1Niqvmh9U+Zy03uTeRvpQvbMgHNGwWsgfG4mcuVv3AymzmU+P+wy7lkzONFojksfnmsXnNO9035g7qHrco5TPJBcMsyrtuNvPzL4b67o/N9Mx08rz/fcrmwmzI0isaiViYX7ZRelY/sG/EoKAbgtVU2LeZlJZTo4NDkwsrpdBNbOFyKnnFtF/P7Ns3uCe9Uu3vmdj2TifP5bLZXPZMYnSwf/So4bEsa+4HBseSyyXrvmnccD5Iwuy7v79vf66wKR9gL8uvWn8iCDJ9KZ+ezwkhMftuF59VLhpzOyfnr7HHyyuZ2GD/wExmRS+/2uBlOzJ94m2XvcR3jJ+tcIVRLlw97P9DYjOf3Nk3PJ2+4/6+PsSnzF213qFoXr9N/36YT467S36jcPuOzq8b69kDQ+yz1N/ay0bBSCaqHkw1elY/sG/EoKAbgtVU2LepiEZ2X8Z8LB8QsLD4K0d0EuKuGurb5gib23fHdHaNnq0As+/u/slsgf2T3CCFXTIN7mN+u5CcGuqLJdKLyl1VIQK/fdk7x1g0LP7K+kO9osrr2dmB2GFjvcztKw77vhHfNRbPcseEvZIIiRTYbPae9YZUeqPz+UCfCUQha46E7Ls7la/sO/G5mpJcX2NfnwlVXANVKGRx6cCukOIZ65WaWzo+1retP8zVQEV6Vj+wb8SgoBuC1VTYtw7KhfxFT9Np3Xj7621kFzPxWD9rWAemfDlS5qqR/oEDuXUreKrdvmUzvWdgzli7enjm1C0nCOPvPBQ3qkWdWvtaXuf4X6BCx789mX8s7HuvlJ/fI68kyHnqV2scfp2xbWcyLw+Fx9Z7U/mH4l4l+CtHFG1LQtmXi1N8Cot0J5wYunwvN7OPX3nwf68bc/umk9mAENwfIreQntUP7BsxKOiGYDUV9m0cJuO3NN15a7mZ/SnWIPuecFDDVoHWvqU7mfhpd4RnO/Kxmd5HluX/6LcCQa7kvvEQZnLkWi7cvs7TyDXZt1zKn5xOLpdE7Lt4/eKJ8yvF9fx1s6TTf0BBhadoGpeszlfro+kOh737pdrePYR9mTj32tl7KlXxehYQx2edILW4ms8eHx10rgwc2HHOj1VPv9vZ7EbpWf3AvhGDgm4IVlNh3ybAw6Ddnp5FaqkHx+LpoCE/7CWUEXWlLin9yP7KSfzmsudSk8MsdHZ3J1uOVOI/xSUUksbSpnM8nr5bprElenMRl8cS6dO885hLYj2cfe13oNticpr3v7LDFm84PH36VGK754tQ/3QfZarlm1RDSaT7bqxY9tnZYOtz2SdS0jsc1ey7UTCOTfM0Mittysbzr0kpaPaPmJLhEEljXXTLk/PbWal+yC+SJpMX7D/x3OgdhmayoYsmkJ7VD+wbMSjohmA1FfZtCsK1ShRLIWmV4VfMkbuUUVFErZln9nrbssxVBgs6KdjiMvDoQduhSBFzXZnncmF1VXw70anpOmxxDI7YlKixbuhItqvRJR2q6xE95cKdd3VZX7991ei8vH55/qS4ovKUiQ/+q2m+HR/wFdtPUS+9g/yl1AjeIuAd6qBn9QP7RgwKuiFYTYV968UdTfIYdIej0qKRiKmRkKbBpajI1y1ao33X17Mvz7k7d0vL8/H0tfSMyxZBjbsYllyXfSW8yzM2NDH1BRb7Tk6MsTCaTzFiFxaxL0xOzFpfhDznG4xWGzXZt1wyr1uRpTUmfP1efsm6HKGbHFDm5B6ConP6oApjpvjFja94+WSnc1ZPMGUjrFKl0WruMB32bRjYN2JQ0A3BairsWy9ruclhJbO6mInvV4bFzuxRkq7UyntGXfEhPP5xQLXat0AdkC8777NRyN80SxtcVN7YV9e484/bRplne1pwTfYtrqRndrIQ/+EyjbpaLRhH+QddzSbG0ya7MpBmrKbwUNQb+9JsKO3Q6xD9vgJPmfio7k5WW3YovcJiHLXzQ4c+kur0rH5g34hBQTcEq6mwb71Ua5ErwqKfl1/SdfLVbF8Rv46T+FnoJia2kqjUY9PrQc536u+byVw9Qx23LBorhrVvuXDrxIFZ0dvtzDhi+j+fmpzhXdFFIzEj3ofy2yFSxBVpxL76Iq3NvrXGviqUY3CNyeKP7EoY98U9OhJeyHw4fWMrcvSsfmDfiEFBNwSrqbBvvbhyibVRvpd7Ka6fiuO3r2bAM0N1vzXsmWtGOCCkfekrcPuydn+DemrZR78fxr7lwtvz8aMLUhPl0srCrH0xUS68K0bvMsGMHzGK7J/8g0JMf6pMVfvag6TEXYtm2bfCb60tXnXImDMqTXG2cqPsiDX2TTtjODQ9qx/YN2JQ0A3BairsWy88l1infW1YpOPuiaQoSm2mtQOeGaoPLC3xSbeKfatlnvlIqIGZ1GsTllyLK+njC+b9MPZ1QxbXTKphj+/nfb3Bud9gWAx92SoEcaNRzQNTqUX7ESoc+xH+HdmVhE9dW2VfFfUF/Ee/7h6YHaaQw9Kz+oF9IwYF3RCspsK+9dIM+7KocXXVpQp/7KvHG/tq7Ksem0YP7K8mxpJvm95239NDGSAG9bqBB3bs+oCm04ggT/qP/e0BJt1NPuC5wSFXDH/62hP7BtAGmWf6ILsExIDwWCK7Yv0B7NsEYN+IQUE3BKupsG+d+HvymkJN9h2dmOaJShbwbas588xHZc/nxfgstd3nC4CM2P2RwWKwrxtoAJFc5UN4xREtD69Hj2aSe92Tj23KJTMrByTrZgS58aev67Cva1GLmuxrlbCy2JY4AFbOfLFuzR4MFmLZrzlKwgto9Svno5vSLy7pWf3AvhGDgm4IVlNh3zoJjqgaosbYd51WWk6kDZ7JrMG+rPU/SGt0eOVK6WjVE+oL2L+PeF3lLMTI/vhebmbYJUi6Rul3Lc6sQt+C0sXV89LeywJGjfalTajU2USh7WvB30o9VMu+8i6jaBpXfOtNauRK883scra/yEYhfyXY4qHoWf3AvhGDgm4IVlNh3/qg5SMaz6b6qNG+Srsv3OC1b7mQz4n5Tq6Q9NxhufKGx77++LKyffm02gvJA7M0ZZYPHfIs7CwX4gha32qDZiixY6v6ldUI26YW+6aXMpMjnrVNKtrX3/Ec0CuvZKTl1DJ3KE+bLFXeYsHqwD5DXdea9cBroGf1A/tGDAq6IVhNhX3rgkczTVkX0Ev99i2aV+enB1jTP5czHxSWTqaumpZVuEgC9qB12Ve3AIj6Avah+9zRpw0dD/co7wDOic8q3clMDrO73xQDep1uThcUbVfZjIGWpwhYBCOUfenAfL9XldiXXVm4Co2uAFyH6v8VtPBVOSvuAdyUMQSSntUP7BsxKOiGYDUV9q0HnlANt7tOrQTat7iSPnLE0Y+r3efzf1hgR2OdRKQVvKTwZXdeVJGrummPg3gBxc0isTyp7qRElMxrySmxp2+5sLzARybHc8uL1uRjLk9jTizC7Fv1mpbIDshLS+gbjevkHc6+PGXNAkqN4GvJPPNZVdMDnhR6SPvqcZbqpCNs1hiCntUP7BsxKOiGYDUV9q0dvryUsr9NzfAVFbxStG7e3Ka8yZSmk8JV2/2NwvKpaacTkT5gSSyayGM+56bZCte27wNm98O68JTiTvtN3PN52Adlab8Bvr60BfX1DokN9h34qliUlVVeTB2xQTExQV8tFrcmFnsIZ19Kj2tDz7D2LZkG+11G/YfRkH3529JwcSpYT5d2/fSsfmDfiEFBNwSrqbBvrZTXlw5/pf7FEJrEfWPuoJJbrhtm30PTySsr5nIte//RKsrp+VR60W21omkspJLpgCzrBq2CGfJD2Iuz88lTF1Sve2Hym6FlpeX9WtnMz79YaRMqnrG/cCI5v5gN+Eb3jfhEIwfASzI/PzYw1YyfUtKz+oF9IwYF3RCspsK+AHQTPVu9Yd+IQUE3BKupsC8A3UTPVm/YN2JQ0A3BairsC0A30bPVG/aNGBR0Q7CaCvsC0E30bPWGfSMGBd0QrKbCvgB0Ez1bvWHfiEFBNwSrqbAvAN1Ez1Zv2DdiUNANwWoq7AtAN9Gz1Rv2jRgUdEOwmgr7dh3lonFkT/ysb63/0BSys/ZqkQplc2E21Nuu5Wb2pxY9i2r54JvPe7a5bQW08/+M5ut0Kz2rH9g3YlDQDcFqKuzbdYi97utfwIE2kBiWi0Q60EY9nrWu9PBVi5WtGjYKt+84f0IbA1tLd20bmlxYCRBwuXD7Ol8Hg73brmnaxcF1W0xObw/5HWl9Zs2WGEXTuNF6/UdNz+oH9o0YFHRDsJoK+3YZwp2VV07mEaF5PadfRoqvPanbQIKkrlmr0o9mf36+7jStjSXd6fto3+qbtFLmwExm5Y773Sy8eyYy6Eu53sS6peN8PalF14PiCqCC/juUntUP7BsxXVnQG5X2+NzMp8aDlr2tGVZTYd/uwgp83abx3uTywv4Al8HeYcrar7fwrrUVPa327F6LWHnWjW1fsZU9LSVdfTVmCa29LPdcIjwut9DYlx3Sh+aq98ShI9d+0+6kZ/UD+0ZMNxa02JDc2iJ0M3/q5eQ5Z5lZ/uyOENm/ULCaCvt2EWLRYBYvugzk81kAzGdM2+cpo8vlvZiJx6x9HSjt7JK6+iyDb6JnPcXDVmtjwcGxucv5xebYl8fHS9aZoLUvPwz35va0vZIV4Kqp5of5E0c9BdUd9Kx+YN+I6cKCpsyhE2TwxsjVnrLGaCTE/q+hYDUV9u0e+Fb2I/6ccw32dfmMYlaxMR/fAs+zCQ9t76Pfl1eTeW6KfempwbF4lhtUb18R6VqvoR7fnVZuWWzWREl1ukwJ1YfdefSsfmDfiOm+gvZu285bnO3HjZunEzJ1ZtuXXunfbLUWWE2FfbuFh/nk3rHksldHGp8FoLUvtyaraRO+d66wu19o+5ZMw9cBXM2+1hEG2JdJlsy6O2XkjfTctNzzOH9RRuRkYn6Zot0wuBvoWf3AvhHTdQXNg4xxu9ctf938Abcva3t4fx5Z2bKvSEHrWtvwsJoK+3YFGwUjSddnxVXzQ0845/OZLz0rCLDvrXvZ2Zh/sFWN9tV0RZ9LTQ77+57toy0X7rzLD7JW+7IT517upXhufZ2fMpPJC/yzFjPxcRkQl+5k4sdygbsKdjw9qx/YN2K6rKBppqYUqriEH/7C5N4hauMoI82am/fJvveKxtxOzcDU2mA1FfbtBpwgkkkx5tmcnwb3xhLWeGM522d0zmsgrX0H9k4fShqF+77JOdXs+1r2naUzh+PzF4z3TU/sqxUnzURSjvY0H/PMRz+suu1rTRyqYF9BaTUvv2BxJb1/j5NkLpr51eA/63h6Vj+wb8R0V0GXllOTJ2WQwa7fZ4ZZsHtvWcS+9GzsYG6dNUYj04vXc3OsTaw/5yxgNRX27S40UvTFvgEExL70VvxacI9rck6QfTcK+bMkznjGuSBwv7KiOH1Ha8e+dDz2U5XehB3DuVRyiS4XbPVurGePHeY74ZdL5pXU5O7p5PngffU7mJ7VD+wbMV1U0KWVHE+OWVELn6HIh7TwxsjVxlmZZ457HYPaYTUV9u0uGrTvsLKuBY1qtt+KhuIrIxLogyazBXFPRK5iItPArrFdg0rm2f1KRp32pXHX2w9lrtI8J/2bCLOOyOFU5cKtEwdm7cy2uKKVXb93MjzvbfXydBE9qx/YN2K6qKBl08C7qS4uv31hZrcYvEr2PZS5ok7n2CElzQytn7IZFlZTYd/uokH7BsW+DJKfs2IUTSx2nPownxzv74sleHDp9NQSnrt125c+MXYwMbGDL/phLvrehF7Azoj0Hf4onVD9fEWt3dOTe+VVBT9lrMHbfOzVcLOmD7QPPasf2DdiurKgaZqEFWSQfe2mS3QG78CMo0bo6vMzvH2LK+kjR+RsXaKKfcX72C/gUlQjWmthSIZbt5v51HZ3ja3PvhR870ye/6a4WzINe+6vRXk9+/JLdnTO4uAblFsWKWu6bmAx+iX7rzYKeaP+1bDblZ7VD+wbMV1Y0HxWYkwutcFw21dc3TdtniKrqbBvF0AzakRqhAYSuwcYe0ZdKQ+yuNBeLqO6fX9cNA47bvPaV8FlXxot6F5jOax9hT7XxCApax583qX2UJ0vvi/iEDD8u5PpWf3AvhHTdQXNJ0scVJfgUe0rlgvg9j10aDrmG7NaO6ymwr5dgWaikY0vmgygqn1dhLQv5atjaVM9uOr2pTHPk3PWuC0GZbb5+7jUzj/rpZN0hwWyl9XLC+VGHdi61Tet4d/OxW4X0LP6gX0jpqsKulxYXojvd2IUvir9pXeyRy37ssB311jyXIZmHFEKWglc6oLVVNi362mJfWUeWPukIkj+sl3uRbKC7cv3HKTY3RkvLRAdLmKElNu+7P1/bV5/hA6VLyO6jZ7VD+wbMd1U0KKJYVfi8UzW2RvVin3tKR/3rDHPlIVurE1hNRX27XpaYl/em7utmn2pSvu3RdLZ18rriHFb8kGCb9A7PWCNpfLYlx3G8JxRrHwJCvv2BHXZ92E+ecBX5YKwRxIATpfVM806ANK+D5dTk8coP8ZaHznjyD3GpB5YTYV9u51y0ZgbCmvf4BlH7I1E7zKPSjcKxlFn8LDAWi5D7LLABclHHU9opvToY9+iaVzyNW0bheVT09un5p3mkdvX3jyYOoOrZoBg356gzthXnYfGYJVT10lBN7HrZdWrvV6hu+sZu9S6yTPPAxOJ107LrimeymvaNAlWU2Hfbofco9lb3keY2LdkXpPDtbbp9votmtk5nr/hYl5fz8Zf1m4zrLevD/5ZB2aTWfeoKCF+OgB5i1VbsRn27QnqtK+8hrOG5fO1fu3KyWuOspa+O+/S83RjPeO9X9lcem46fobFGdY6z/JJyvhhxlFD1HF+djKsBTkwFj9bfWRv4XLKpbrNwtLJ1FW1/1VA2znE0wEpuMfmm8fYXxXNc4dlrtgLa+xenJy/VimDVzSvnk6d8Hi3bmiXiCZNE2h/eqx6O9RtX0rbLMn6zBtYl31paKHISsK+LrqpntlxQyyRvuTr9xX3qHIMOxsOsmrzlnfSYw2wmgr7AtBN9Gz1rt++KmTf41mDpvBR58to/Os83zM8nV7KwL4K3VTPyqX8yWm5L6kFX35SP1mCbtQP0cDIZ1ZTYV/QUu7evfvo0SN5B7Senq3e9du3dM+0syz62FeA2NdF19cz3su1p+G9jIJgNRX2BS3l9OnTzz33HHOwvA9aTM9W79rs6wwSFJPcrDnfevvyITh5ZbstwEAz2hCspvamfQHoYmRF7zHqjX1do+jJvoPWbjcy85wR24eMTkyLwfzilT0P7NsQrKb2oH1BlNht4tTUlHwIgBbQiH0dp8rYt1haXfUNqEHm2QXs2xCspsK+oKXAviAammrfhzTXiO84JyJgmhB8D/ZVgX0bgtVU2Be0FNgXRENT7VtSJpvwfcMoNY3Y10U32resboLmprCUoEnA2mmUdcBqKuwLWgrsC6KhOfa1Vtvw2JdeAPu66Eb78p9/25B2nDOtBSh23W8KrKbCvqClwL4gGppg39I9M39umpZlhX2r0n32pVV5Bw7k1nWr/LiW6Cuaxg3X5ODaYTUV9gUtBfYF0dCgfTcKb8/Hk1esPeW4feVCC3xKEuzrp+vsy5f83u2KbsXCk+KWjo9Z6+CLrUmdxcHrgtVU2Be0FNgXREMj9h2aPPTl0b2pfMFM76MuXprp68S+sT3plTLs66bb7MvX+5aL17Mg+ORhvvXVRsG8Jzt6Qy5PHxpWU2Ff0FJgXxANddqXdqruFz16/N/MwQ/ZoyXz+kXv8BvY10WX2fe+EY/JwJf2vXJWYBH47FsurK4i9gVtDOwLoqFO+5aWU6ODNM6G9lCvtLAg7Ouim+zr+u1p06vxlHHTSTu7M8904+s8N5J8ZjUV9gUtBfYF0VCnfXkMc+ddFuSwgOeluGbADe/7o9Uo+RY4g5SCBpwusi8f6myZlS9sNjiWXC4xJbuWXHHvQM6v2kbYn/gyJGFhNRX2BS0F9gXRULd9iY31pdML1t5xOjbWswd2Onv9gq6Kfe8b8YlE2jBLmywIHnO2Lt8oLJ+ajsUzS8yxPPXRPzBnFNlTj830obp3NxKwmgr7gpYC+4JoaMy+oGa6saB5RCt6/m3KpZWFaT4H/H1uX2fHq0ZhNRX2Ba0gkUiIptDP2NiYfBEAzQP2jZjuK+iH+eReyjkLiqaxlMte5wGxtcWVsx1Hw7CaCvuCVnDjxo2nn35atIYq7EHsNghaAewbMV1W0LSbrzOKitbTKLyXmRy2ss1NHnTHairsC1rEc889J1pDla9+9avyaQCaCuwbMd1U0Fy9NKT5ZILGUuWyS3KAFc9FT2TMxz77bhTyl+secsVgNRX2BS3i9ddfF62hzcc//vFHjx7JpwFoKo3Zd+1i8uQF7xL6m4XsoenklQaXFOxWusm+fMbR2Gg849QAkXZWZhzxKUY7rJ2fxdDobf0DM5lKQ/UqwWoq7AtaxNrampp8Zv++ffu2fA6AZtOgfXmnnsw7sqjmJhn3vhEf6R+dy9nTTIBClycZvItp8FlJIwnjvrzbMKymwr6gdbzwwguiQWR88YtflI8C0AJqtW+5kL/oCmwG5Ya+fFkFWsR3/WpiwD3Bt1x493b9ucYuo8vt64ZPOBvqizU4y0iF1VTYF7SOa9euPfPMM6yaPffcc8g5g5ZSe+xbXDU/tNpSzZAaWvIolkgvWobm2+z3s0eyK01b7LeT6T77ymzzheTcYf6rX7e7HMqFq4dHR2az5nr+bCI2k1q8nG943jerqbAvaB3MuKyOPfvsszdv3pQPAdAaarcv7aU/LDYysmNfrlhKQX/I08729E6+6z4WunLRRfal5Ub7aSFJ30CqcsnM8qFY6TvymqtcuHViaqhvcGzuaiN5EFZTm25fcQIAAEAQsrFoKnXad7tYOd+OffluvnxWZ9FIbD+QSibF2pMUB++joa9A0k2xL1PsTV84y7fauJCc2jk5f83b819cSc8M9TXUDcxqaivsK/8FAI29evDggbwDQMuaiCbat3/yrJGemc3e2zQXZvnqC4/N9L7+WNpE5KvQvQ19uZBfOjefPHUhWyHDzAR8fKGByzFWU2FfAECUtKiJqNe+YnV9O/NMGyrsm0mcpCWPyiuZ8YO59y8nBmgLQvFXgEBD3xCspsK+AIAoaVETUZd9b2e+cjZf+DCfHO/n45yTufy9ddciCuWiMTfUt63fWXgfSNDQNwSrqbAvACBKWtRE1GNfDnXhjU5Mjw7ufG3xylzMPcFXdPAx+7q3Wgewb4Owmgr7AgCipEVNRF325XLdyUc435P9vuV7uZlhMfWoXFheiI+PxbNmcZ1GucZoDzpEwBI09A3Bamq72LeUzyQXnK2L3Wzm51+MnwmxpuZjMz0znTzvf5+yuTAb6h3WcjP7q8/m4htuO5PBIoUPCFjMsEbB2YrDA32FrO+rllcyM3ML1UuAITa7vFT/lLaikYjFw31WKPiIU9cycFVZy8WPqK9n7/Aizys27ZBaTmEpET/r/glK+eRMHQJgVSaXnNo5k61loYBy8frC/KK/km8WsgfGQp1KgdTZRFSjZvuWVnLx/dbkXWW+b+neSv7ti+mjCacl4bNODk/GfpE22G9wpknXAPs2BKup7RP7ignN0yfe9tfszXxyZ9+wM+EqCL4WmHpuFM3rYmWah7xfx5U72ijcvqM7hWjBOWcXKffLuPmyF5LsKpidhLQaTkA7WC7cvs7PW/Zuu2hMh5itb90Wk9Pbp1JX/S7ZKJj3fA/yce/yrwb454ppabmg4XjMsrHBId824DRlIlQCrbyenR1g384/zN6B/VhH4mcDvr7oKmMHWeMCuWUzd2JJ9ydiwT/7yLWl5IF+R+cHquOQREJS7KstH6qVeqsBQxxwLPHmsvLpNBw3/Mqy/BpRLBBB1XXi4Nevf1haXfV8nXLhzru6KkEnnX9lCWbf/f19+3OF+rd6qbuJqExt9uXnstg7Tpxc84k5sYIvldiAmASs/FL81OMrbzRy2dFldKN9i9dTc75LS34hfCYnruUL2enGGgUbVlPbx75Wi6OZ0k4NgZgYUAG5Fpi9Ng1pkst4fY3pRBhLnk72U74yVC6BObyt4SMh0/Mpe8kbXwTGTmRlyTp24+MnqZW84343C/YL6r8OzTWk5e5omhmteydvoUNt9uYDB8QkRQVRtuPufaO10JWKUoy6G33BoOsPof+qkZYmfyCWOvcsq0sPygsO+nS+EGDVSzHP70j+lhuFhUfO9xsamJpXJRhA86oBgx+wrwzJvtvVNyqaxhXXRZi4QDyRnOfyoOG7ru3ArfrsOUjdNRmddH7Luu3LPu5SzQ1RA01EJWqOfQXlD81Vz9WMmHTUtG3Uu5VutC8tqsI7G9SGST1RnX9rpwjXAKup7WRf9oVYwz3iH9kfyr58uZK9ZBfmjwknhuYdOfvk8pzldWNu33QyG1xodqst4mZqa1ztXSV8DZbHARYV7Rv+43Qwyx7ZI5PSSuBOvVnunaG10b9QXSOrmdpRpi/Uc91IDNzfnhhdaFK5euA/67hyPHRxwEITf2rdhbvk+Tm1rd6NsWnzMc0FTSANVwORxRlJGKvufVao0JSwTKZhAvMZfov4I1d+bGrJ8IOnJP8PlG+hXFhYqy3yizPx75ozsQ01EcHUaV8BhTdWzOMtN/b132pCsNNtdKt9d0xn1/hpn78sTzxxvS9aNPvfIh/SwBYcrKa2l30DCGFf1ijvtbtCKcsqXs8C4visEycVV/PZ46OD7qZQ3UtKTvv7pgyOL+cXm2Nf3n7Z6YqW2Jd91q7pZDo1uVupJ7JlpAJxG1F51oGrTllSTU/Faz7tOzhVuipC3kw8HxaNU/PLd4y5/eqlAM+Kbw9IvfJLt3GrW9QlPPr6uoWKQoZudEEcfpXBhqsBre2gmeJSa0wW1r7q6UAHz3Mk7m9hL4nsf4eaaUUTwWjIvvxyx06oULmxSxB5sohMTzMX2O8Outu+CuqJWuGSuUZYTe0K+7Lo5Ng0Fwk7bWJ8B0Z+XUKX5+wfMfssEsqp3PfpaYyaFvvSU1ZKown2ZVdmhluB3maUPkUsEUBpTHfkR8fjXkCAx8e7WQNUZK7y9Hu5biKhqo0FeWCqyTnXYF/y9+QxY/29zEvpW8bZBZdo+ag665jLvi5MXgLW11RLg2Sm+UZW6ObJM/mQXeahE9eNVgN+GbFDJ3uPTYtmfrViK6C+Xuyat1HNvlThaVEn+1tYvdeCLrUvr6L2b+EpZ6Cnq+1bMq/b1+XsRLXbO37SNmfFUVZT28q+FQeAuNopNRdUXr88f1LkmaudNoHas9E1RlodlkzD1wFcrdm1PjrwMOj4K5nPumkuIzxH7nwKl4cvkPIWqcjJ07U/PSUqGA348n5N3wdJRK+tblGCmuxLlM2Fl7l+lPQPu4lhSqJwKPHj7nhWD0z5N5fZrrHxk+oRk1BDrtIqwvFt/aFXdW2sGojkv/LjspfJKkGZZysmo7Szt/+bx9Z2camvpwozNHnmWnqmon2pBtKf0PuzS9jTVu+1ELDfvtpKUolGmogKtN6+vl723qZr7Es1WJwzvFlhV8cnqWOstbtZsZq61fZVvrg9AGT9Xn5JPCJvsqFxEqdBuSCn7bD/1nXjbZC/vVPxNEbU1mh0KLothz0jtO1m17qMqKnZZdDx1595Vo/c+pTlO7mZCf9gK9fxsJg1fdKaICRkYzWv1GHs7t3wfRBBo6BP3yo89o+qpaZNtS//0b3jCl2wYH2/7/rS3Sa6mkuBemD2v7nM9sycvXbmiPKG7u9YBeqKjp3MndkXsue4oWogCpzZ1/6mAbXF/hR534cM2V0W8bvT/WvSlYq4yLDef0M5Q9lN7felR+gyqKbEbJ2CrEat9nVdqfBvYbcwrqsc+2b1smOzfUnX2NeBKr3aVLGTP+bqsRM3LpIQk3AqwmpqG8W+vD3V96652qxKBF20WgRqz4Yao9ey7yydORyfv2C8b3piX32LyQeash/FFS7w2GXV3exaGYvAw2i6fYe/MHnwiLFWNG945kAHF6k33BcTkNza2+b6IA4LC26I/C1/Z0/LJS8oxYwOp70OvLIsGolx/4r29dlXiPyHReP4YSdypVx0uHKmr8+r5SZPyFdMPjehGoj8wVwqvqviN+XQW1WwL33HWu3LJ2rL7IXz/ppRwQx7Ol/N1N9EVKT22Ffd3xfUTPfZV5wzqn0DjMJP3QrnXihYTW0z++rzk8Gq8EBlVX/su1HIn6UW017YwafDQHFyfA2i3bS5W73K9uW/tb9TU0Xbamjta31KaTkV268OVgouUr+Z+CNO2Gf/TFw2mjnHmncO/mV1sI+j7WVcSVR2c0ckUuHb+p3pQBr7bsg9anhpzDqRK382XCBLpSGkG9gd66X+asAD34lUfs13neEeMUc3cnxwC8CHv/FZYf27do/xoQ9icldl+5aLxrGXraEArm9Rumd6f2j+hwHd/1Wov4moSO32BQ3RfQVNaS6e33ALwG8ULpLgcy8crKZ2oX39Vyo2Wu2JkEW05gO7xnapI6J9b1infYXSDmWuUrhQ3b70VgEdwCK08iX6yCjqVE7XpYawiNNWug9VHfWtT7s5NxnInqYMpGYIm+bHqsm+/ELhiC7EdP8W/D09ZaiKRPz77TU+1Ijeirlz3HpbOZ8nRCcuf6Wdj/GWYRD1VgM+Pp/kV/WbcnyfokJz3wdmEod4DL3O17ERfbcPKtrXNQmN3n8ilV2i2cP+6eb8D+VB6sZAVKBFgoR9I6brCpqf7eyKfsd0+hy7dKVBJUW9UfipG3TuhYXVVNhXTiHtE+sKqY0Rw3O3bvuKvsODiYkdfCaJuRjwJvz1Iiar0LbSU/5hd1UOlXoBbZFU6PhU32ejkL/iXbaTv20llWp+rBrsy7WxUx+V1mFfpTS4+fYL4/KiCDWAmSqGOo6MZBy8xqekzmrArgKZ4/i/GrYvzfuazd65Zb2P6D7Ymby5Vjnz7CB2F2Ax9xWzsGJ4rsD4TYzSYFdp1hiI0L1gLRIk7BsxXVbQ1PRMTH1hgDVV92joIzvrCrCvpkHXQ81WhbgtIPOszKlwN0b+Q6rPvjxpyULq898Ud1msoF2qTMltVmhbA57yNaOeQ+Xfxe6v9WcgLfjLlN533o7vcM3JaZp9y6WVs4mvyAnHTD0X+a/DLj3Vvv/goJyH4J73pBLgffaLmWScb1mjlgb7CCZdPpeGB6Ah0s5i7LFndTCKKT0ztXw0Wg009q0p80xz3+UEPPt9xIVU5diXQaMg+Q8x+IujuyoOTON/qGmXQtAiQcK+EdNdBc1Pzr2pm1dkU8UzouximGJffeY5jJAqwWpqu9rXNaZD06Dr4c0Nb1hdppGP85aicDml24NBwdUYUbzojjLD2pe1YjcMc03MyKT3GUkYeXdL51ttSsmIBiiWE/CUpxn1H+p9Y27OypoG29eblZUTYNxl4isBkb2nmklWcNtCJqutUVfOg9y1yoof4rOCcsIeJ93OfCXt+illT6cYiO4rDQ4fwDh75tSXw6SdxWWHP8wVY5IrLrbcaDXQ2FdT5QKqAS/DPXIilvt9OJX7fWWIPETbUWy43p9nxWddq2TDvr1ONxV0Wa4R6A0UeC2nS3U6c+zhMKxt9XW51Qqrqe1oXz731LXCETU0Yexrwd9KDaH8zVDQ1D21MaJeOlp5wKG6fWmw6+ScssEOJTD5+3iUsJZ7yTUJlf+5lRENaFs5AU953rzyoQbaVyNX7puYrSv7t+DRqvMdKw4T81bpYCods/9H9MDKecLKf/pKg6Bvt837m/rhX3kkaAFFOQg8WMANVoNG7Mu3Kpk8ZjULQfZV5gtRAlk5GLEoh64G0sWNMsGaf4vutC8L/9WUBCv/8easq99ldJF9S8vzYtOYwKbKbV9O1XmTVWA1te3sm17KTI54Yg67xZf3XbgXZBA3Sp0pwZZ3JBHFZ5oRQ65Wm6ci5NxHhyA98D0DrE9xjUBRE5juZpe9/6/NK78mk/2E/cW1basg4CmfbyqZTAz/UV9N8Ose92xO380KbU/ybj8ZaMq/DiS0fcmOQa+sal8VX2kw6NsNje7+xcqTU/nLxoPUS9DKz6z+DPh2KGpCNWD47Rsu81y6k4knlSpN7+P6lavEviq+akZ1xkkF8T/sZPvq2g1+E93Yag1h33S4amd/D9I19n1sZhfkaWM1VTy28FWLodGZ4w3Mc/fAamqb2ZfPIfEvVVjRvrzJc12rygGf6tjU8A233RhRc+lfuUmnNBkMyXFb8kGiXFpZ4LP4tQEZ+77DytifopHY7hmTrLdgQIefrxmtGkf67UvXc7lKl/mBQXMlwtpXjAVrjX2FU3kH9kM5nkh73cBfti/EJYUlYL6AVPIClVhzqgHHb1/N71jh+swilH0vJk9ecF0oSPzv78528G/RyfYND/umI2GuHXuNrrGvgtNUuad18szP3lTevJ5e1GzrVhespraRfcV4b92Mjir2dSFbOve4mGoNt9NtaSXi5MxL7xJRAUormsYlX3fyRmH51PR2dXM63mDZ430ozrOvnFhgYa9gzKi0GFNAs0tvHjjjyP6OfOoIbaU8GGLkkYWz3gKN2tVouyL8lw1jX+EG91IePJoU013oo+uzr9hH3ZGiGNBL8/rUSw0WO84cCLOZIEG/L+/PtrufG68Ggprs+0Pfit82fvuKfuhQP7uumil/TiPIOt6+/NJHndfHTv8dvrQH7Kunu+2rwtuLnRQUWkv6ac+32mA1tY3sS4GXNpEe1r6spWbKGY1biybaVLMvp2hm5yiaGUkY69bMSx+VAkqFknkteWDWu5WhEzBZN7neEwubXn5JjfiZhw4FbQXPNKrb78ztG4bmUIvm1Xm5SEWovX5tmFfOU0aO/20N2hbwI1G74QOhfM+SRw/swZzoKQj3JoRdGhuF/NnD8ZPXtFLkRcF7KFit2ywY88lzARqrlxqrgQVdZ0wkc+KKkKe4gjLPsUTyEH8r/fKHfvvWAJ10/oltrCZk5VTvGn4OFw00EZWo076uKxutaJUHNauO9C49Yl86XZ0sKIV326tucVodVlPbyb6BbObnX3QiDD+8C0fsKK6VNzVnE758oJ/H5pvHUlfNonnucMDkRRapvDg572vKVZjhTqdOVNhC2Ifd5d8QPIWYU78+H+Dt97fIqHt6JcPBsy8jQdcElWD21VwS1cTGevbgnmqbESms5eJHFpaXr52Yr/S57HKtjnIIRe3VwIE197saXESWYPadCVHt9TD7fsa7+7LNfWPuYN3tTyuaCEZz7UtfX2SSKCDmg0hojeuKw917im60rydNJy+fPU0eCxOzNOyFZ8/qbtdYTe0I+wIAuoYWNRH12lfNK3DRioCeh/4ybWArmXpG6s0ldB/d2NAXsrMsulpZyS9lKZ7TLKUr4T153jRdTbCaCvsCAKKkRU1EnfYdVgeaFE1jSeTPYN+qoKFvCFZTYV8AQJS0qImox746yoXV1VIZ9q0KGvqGYDUV9gUAREmLmoga7UurG3nWX+M3MV17/h3jOOxbGTT0DcFqKuwLAIiSFjURtca+SnRL8LVLz1zMm7eSu3cm848R+1YDDX1DsJoK+wIAoqRFTUSd9n0ot77mE6/5YgMP8rZ95Raf7jHPsK9FVzb0a7mZ/akKg604rk0I6obVVNgXABAlLWoi6o19+QqaQ/Gra8aRF/loZz5JOjj2PVBxCdLeokvtO7nDtxB8uWTeVHxMr2l45hmrqbCvxFnOyUWICb4ONC/5rPUz0WzLtCGmiomhHPS4gP2g71WfvVpeycyoK/WHga7e/HMx6a0am3RblYf59MnAo92sf7V6HpfUNkeZz/dVX0+/I9+6p5Vfv6kUlhJOXRK4alTn0qImoi77HspcEVtYnktN7vtyfGJoYO/0xLBr1RrHvsBF99pXXWdumBbWKMoMCT2qNXTNsJoK+0r40pK7fQv8ihUfB10b3AbDz+c+ezlfWmnIvkIqZKdlIkvc+JKWum0ePNAPrV/JKABaAnDIt04CFxifHV7lE4WlnOUq9TfWVPnLihA7GWhXaeBzK7cpm+T4KJu5E0u6cqa1n5wj3yiY96ppmJeb8lnidxyuZakQWo3SsxRljVj7RrOD2eVfrIovYrXdt0+DRBywZ8lod43qWFrURNQb+/J/8g5d2eTK2FdjXyx05aa77Usbf27ajWlJ2TygpjVvA2E1Ffa1sTY3VfVA5axbeloL2ddeOkeO0bi1dudddtJ61320f+XKhHyZAte8/4BFax5idUnvceoe4UcVvOuLWK/bf2lI9nW3ax7EOlyeSw2xO5CyJAJfv9q+xAmCl5vyWeJ39GxmUBW+9Clf0HFAXaU5EFomU/UrXWBxWd5xH4yFpmBt+AH7thsh+7r6HYsBG2W2NS1qIlpuX3ZdO27HP6B77MvPc9dJyy665TZ5x+S6/+xV1K7RKrt0HsK+TYbaaHVtW17gg37N0FLb6tqQfJI+++2s3feEJ8S6dLvGdrFfcy5nnKnbvrWsq8wsS7tE838r27bTnvDu9/Fv6k6EtW+FXBx1pPk2qgphX4bvcocvbzmubEJAu+QOVF1m1W1fEXbXujy1hNZ5DX0FxqCLMHV/AvfB2FSwL694IwljVdQr60aTYZQMCtW36vmMdqNFTUQD9lWb02D7ikvYWmpCd9M19lXh56rSLqunLvv3MC2EBvu2Ah5m7XG0YacrPTlDujzSpaO1sa88j71NredXZmgTquqvb6Mdc8deuWs6meY5YXHA4uqNBolQ2tn9RZRnXfDj9L/SUwisBIZr7gkLZV9R5kw8HxaNU/PLd4y5/er+Pzw/sT0g9cpT7uNWt6ir3Ojr+zcMYE8U8pdCJJb5kdewo0AF+/L42E5lB9qXdtL1727ZpLN+y2lRE9ES+/L1BFltt8Y8z02xi+l6L+O6jV6zrw2FCLBvSxHxoiVjX5OqoTH78tPetUUgu9EWzt4HuQ79uyD76gl5lHYtpDSmu8mgQ/Xsw0j4laCRBPus2sehhLIvK4bl1OQxY/29zEvpW8bZBZdo1X0Yy6XVVbc4eQlYX1MtDZKZq9Nd3Cg5EaJTX3aZh05cV7AvPWV9YpB9+WWEXG3Yjce+RTO/6vvjDqBFTUQD9hV9fEK0/MJ6z5nzX4/JVfQzvKqIPS4ZVJcaHnDTHXS7ffkeLFcyGvsqr2kAVlNhXwXXOGTe5ipZJl+TqkEozQoT3bMDyYVKBEnnuesXdNtaoDWWvtVWfUNYL+NfxBdI0aHqmn7vcQbFvlo9EOXCu9rZcP7vEhx6ls2Fl/n7892rnM8Vw5SEROV1idpJr5aA8m8us11j4yfVQiShsgj7vrxfCRGOb6OtJ8O83l9VnINxFbv+dxT93Eo+mb1MXjqIZZiED6xujiZshRQ1LWoiarQv+1mPzfpGDlLnPXPtpnuOiYM1kg50sX0nkrk356b5NfI9b6vKodfAvk2BJ5dE+y5aN2r1fLvrh7av3Z7WGvvq7OvZ8Eqgb7UV3wjEy5bveL6IIMi+pCX18aKZPTLt3298Zr9rIBLfA1+UoQgoY4eN766r4mQ3bxxvhZ6aCZQsWN/vSxS7Iz/ucs/xqyVg/1v0Jpy9duaI8oZCqFV+TQvKM8VO5s7sC5lytKtKuUAD7pQDq25fyrjwqMv+pvqf2/kUeb9zaFETUWvsCxqkGwuaDzMZ7HeGWfpaVQ5/EPZtNnZRb6xn47PuqCJMY+dWWhPsSy70dVjWYN/hL0wePGKsFc0bnr2w3Ieqp1xYXmCC5MGW2EorYKCWC3KkNjUXMvPMYNcc4/53qM++QuQ/LBrHDzuRK+UPPRc6AdBIeN7pu8lzIRWTz9ZlnNz3Pn2ahk+yi7lV+8Co2K0fVPM7ylHfqfiuit+UA/t6gH0jpqsKmic9qEvPdeXrb1U52gdrhtVU2FfBLlXNAChvY8ebWrs3SEKvqZB5VttQ/lnV7EuS2BWbnku73FmDfa2XsUs6Z7I4p6J9xUybA7PJc2K3NYIFwXMhpvp4+iYVwtpXdu5ueifwuPKuIpLmZ4r+OlX+e8NcmBUjwAvZWSdy5c+GC2RFnzFJN7A71ovPi/aB0U9sP+X/HWXGZc13neHJ/PMbOR72dYB9I6ZrCtrqW+JNyc0LrnZZbVNYs0hBDD8haxiEGQSrqbCvglXUTh7V09ixgGaR7pIJ+rxrR7iV5rKpL6PLP6uKfXkWZIQ8dPXw6IizUkSwfV3js/iVnP0yYZEQ3dg0q63f+abixq8k+JtXX22qYfvyC4UjuhCzjtj37bX8TVlofLKm9bZyPk+ITlz+SvtE85ZhEMH2pXfYfihzlTrGvb8jz7i8zMeUVf2mnMBfsO1pURMB+0ZMNxX0w/yJ43Rie9pl+9R1euBqGTNSCVZTYV8Ftfn2Eqax09n3uPE+H8lFT9U06oq1xQd2WgObxUogcp2jOmJfqX9bJBU6PmmgkzUrhkX4ueTMnvgZKwi+fz19puK6mw3al761Piqtw77qZzHz7RenDC+KUAOYaW6xOmCNZBy4zIhFsH1FF/LBxMQO/rbmout3ZGV9XVzcwL71UId9feu/ClhVmRiLuxNOwEdXXubwc9Vr3/iZb8bHrfEpdAWtaX9rhtVU2FfB32Q7VGrsXB1+7swz9SMMTZ68kj445OrB9fzKDNW+5dLKwuyMGlhbQ2FjaXO9HvtSI27Ljz6rUtvNHHwpE983nTzvbYN4RL4jeJZOnfZVul3UpI5cxoRu/syzZzwalcBr2XeWFjPJ+LS9Ro0Fly7vkOanT4i0syhwz+pg/OKA/cSamVoKgfbluWt2VOe/Ke6W2JfTDvn22xeZ5+rUE/uWVnLsJB2w1vsUw/XpZ/IticrOCCuPAogesC9VBd6C2/M7aVjW0OShL8dmwiyAVwFWU2FfBUVg5cKtE0fmaxzzzGAWeYtaVPdlNV0wueIt96/Mse3L1Hs2MefXG4Vi7AVrddmXBV5zc1bWNMi+PPClZt2ffGY3dj2xnz8oRi97JxwLVHOUXdM2KtqXEMILSup4nHQ78xV3dELnRT+7+uHTSHylwWGhZ2z2zKkvh0k7i4sMf5grxiRXXGxZqSqiq2hNTMy1UlZ597H5x7Ih9q2HeuzLoJXJ6bwT2cfHVAl9lztyxL5uAfNepQfsK/rhnPSXWGnvgFNLGpjwx2oq7KtgNdn8hHQtscQI19hRapHPt1kv8/5L+/JIpBzVcbwB9mWX4WfmU9kV7W8q1V5X5tlNkH2tCNtZm+K6WSoyGbhNRiGgPnlrm2OjYBxzTVWqbt/Kx+x2kgZ2akxYp4PWvsJ/ujWoPXDFjgTtJefqBdBBVYXGPE+q+1PRmcs/2nNsa7mXXHORYd/6qNO+dFpdNJZvpY8cEactDbZw//JyLHoNm530AD1gX3n5LH512ndFNO78Lp3P2iX0wsFqKuyrQM1i/NTpyd3+a5oQjZ1Ql309JPpWeZZyk7fXnnSl51dmCPuG6I9sgn0pFnf6mFWKq+aHZX79Yfd0cBnwd2at1JvzqXSW10b2b9lJ6UGY48w1vkGQe4mPEPYlO/rmN0uq2lfFVxoMsf/S6O5fdM4gHa7vroVWfhbXKJ4divh4PStD7hqhpuax3cdWXsn82rz7QP32Rea5OnXbl1XmWycO0AxD5QJOzT8zJU8e66zFtCOgm+xrd3Hx8TiafileRaaG3FfcFVur6rCaCvs6+JP8CtXtS1fNLm2LEzh+/ppn8A4nwL56I7ppgn2pfQ/6LJGL48m3LOWNLfvScyUzy+tn4F659M7cTL6xwdXtK65XWmNf4VTeXf2QLmFFglo+6cBftk//lAtLwLxTP3mBum9lTMyiXte2gAzeiz89YF+WuY+NFcuw55LLb1/EvtWp1b4U8q4UTIOP5+enfHHlzfnXrZ9OpElEU2CtmgJcdJN9GRuF/Fk+FNY31oMeV+ac2JTv5V6KV50CEQSrqbCvgp3V15QnNXbBaQbRaqvq5TBXvW1kjyk75NgbJNRoX9ZU8IFdS4Z5n9p9vX2DZxzZ78DnKJf5FCb9YvHlwtvzkyNjrn3dedrcZbLSnQyfcKXt9RC5d924pOr2Fflw92t4NCnmVdM712dfPrhmvyJFkUOiVXzVcU/se80cCD2WYqOwfGp6YFAZHMsuoC95B6mJl21X9yikX8oqfGrlPbF4Tfb9YSFvaNdEbFta1ETUHvvKS0nNKU+9+0Mz595ZjPtXowSCLrMvQ80zM9jdK6n40YyzzHczYTUV9nURtEaxbOyCQkmm7QMJXWct99zkEbW7iF9xawb3MipkgwWscT8v5hnrEtRu3zA0sW/RvDovF6nQ7PXLn52dsYJarj1n2LbXmjzQH9QfbdBQ3ur2pcKR62o5sAdzciBY+DnudmnwK9fD8ZO+WVLCnfw9x2g+1WbBmE+ea7LGSuY1vmiJSCHYOHGzdYu5Kw9dZ0wkc2IBVD7eJyjzHEskD/G36qguyRY1EbXbl8GL2nsZKnI/cp1tfkU+NDlfcZZdj9J99o0UVlNh35Bs5udfdEWEDkELr5d5g76ku2xioj3ky0+yiGfG96CPonF4RtsWrF1MnnRlgwuXU/5kCbue4+NHPL2S7GEzdyJtTepVEa2PZqgnN2X1xTcUmH3HfZ8blo317ME9gdOc/Kzl4kcWlpevnZhf0F0JSNiFQp3HUxV2KXM6dcLj3ZCwS4ddurxCl9CiJqIe+7pWU6E6zbc5GnefhiJTwq/SlM2OAOzbGKymwr4AgChpURNRh33luJn0FSObvXAiOb+YzWmuxsqlVdNcETnqqdTi5c7K87cONPQNwWoq7AsAiJIWNRH1xL483L3zbv7crDpgwnujYbB88PNDPh1A/h2AfRuD1VTYF7SUb3zjG6+//vqjR4/kfdDztKiJqM++HM8ICe/gD9+ICkCgoW8IVlNbYV8AAKiAbCyaStPsS8MDlbEOsK8e2LchWE1tun0BULHbxKmpKfkQAC2gafbld9XR9bCvHti3IVhNhX1BS4F9QTQ0y740FEtdCRz21QP7NgSrqbAvaCmwL4iGJtlXvyEK7OsH9m0IVlNhX9BSYF8QDXXbt2yeO2ytiELLhQ6OvbZoLNlTe2nlc/oXUIF9G4LVVNgXtBTYF0RD3fa1EAv6WntX22u9yf2+MM3XC+zbEKymwr6gpcC+IBoasG+RmZbvtaDdO6RcyGf55r58UVL/fs89DOzbEKymwr6gpcC+IBpqtS8tKm4tcaVdmVyFvfrN+FiYLch6Bti3IVhNhX1Bc3n06NFdhVdeeUW0iZ/73OfkQ3fvYvEN0HQaiH1BPaCgG4LVVNgXNBdm1r/9t//2M8888zzR19cn2sSnn36a3WX/+I3f+A3YFzQd2DdiUNANwWoq7AuaDotumWtFU+jhueeee/DggXwdAM0D9o0YFHRDsJoK+4JWkEqlRFPoYW1tTb4CgKYC+0YMCrohWE2FfUErePTokcgzq1y7dk0+DUCzqcu+pXw6mdEMudosZA9NW5OAgRbYtyFYTYV9QYtQ88/sH1/96lflEwC0gDrtm9zdPzA1r+6mz2H23d/fF0tkVzDFKAjYtyFYTYV9Qeuw88+/8iu/Ih8CoDXUZV+yrG4e0WY+ubNvf66ACUaBwL4NwWoq7AtaxIMHD65du/axj33sr//1v87+gcFWoKW03L4l83q1WcE9BezbELAvaCKPHj26ffv24uLil770pU8T7B+nCfUR9gL2Mkw6As2lxfZ9mE+OIxetAvs2BOwLGuTu3bvMpr/7u7/7y7/8y6w6Mbm+8cYbTK7aSJc9eOPGDfYC9jL2YvYn7A/Zn7M3ka8AoF5aad+NgnF0rG/b0OT8NbNIjwDYtzFYTYV9QU2sra1961vfYtVmamqK1R/2X/Zv5tQ6phKxP2F/6Hkr9uaYlQTqgFUe7t4G7WullxX7lksrC9MDw9Mn3kbeWQX2bQhWU1mVlXcA0KENWJkjmx6wsjdkb+sJo9lHo8MYhKF++8pdjNjtXGpyWKSXfyDtu0HqRcJZA+zbEKymwr7AwyNaqNnTfRtxZ207HAPoLJoT+1pQ7DuTuXpmOjaXQ7ZZB+zbELAvELR53MkOg3kXHcagAi2wL7LNlYB9G4LVVNi3N+noPld0GAM/rA5w97Zk1BXQAPs2BKuprMrKO6Cr6eLwsc0DdxANsG/EwL4NwWpqi+xbLlw9PHnMwCqpW0dvdp1W+NaQcXcD+0YM7NsQtdi3aBpLNCwwzO1MYnSwv29b/+hRCDhKEAV6qBDxY/RWlxGBfcuF29cxAssC9m0IVlMbjH3L69nZgcGxuasYm7AliB5QZhdPDyizi3wFUAjqMEZxdQHNs29x1fxwQ2ffzfzJl7MYWyCBfRuC1dSG7Fu+l5uh6XFvercIAS1CBHMis8p+PgRzjSBSBewU8KQKMHqrE2nYvuWSeT2XnpuOpw2zqI192YO/oImTexTYtyFYTa3fvuV1Yy7WP3ogMTncP3r0Wv791RIM3HzsjkxmWXRktg6Uc6dTl30fm+l9tNoG7yxTF5LU2ZdUHUubaOcI2Lch6rdvuXDrxNTQwExmZZ1vkDmZLZRMI300kTx3EduANAxisi0HOYaOoy770v6+fdu4gK+a6mpWZN/YYWPdac3sVB/WvSJg34ZgNbUe+8qoVywBQ9WX2Vc8U1heiLOn4pklSLgGPN23rK1nvwv6I9sH9K+3P3XZl49ceXnm1C3/4NDSnQxfdXKb5zY0qXtxTwL7NgSrqbXat1x4e35yZCyeNWWe2WVfYqOwfGp6gF9OzqM7mFMuGicPpy/llZP2wYMPr6b27335/7Vv+rc//elP/+zf/MSOv/e5+D8985/0odVmIXtoukpeoVwyb6of4aFcyL+l/3P2C84k0ob1gwZQyE47y+HqbxeSUzsD26bH5pvHUlnvEZTNhVnqZpP3q7CWix9ZcL/HZn7+xRreoUGoa3Ap/6f/yZ+cOP313/7ffvvEv0aN3yrqsy+oGxR0Q7CaWot9i+bV+elYPMMaavkIw29fDp/vOzrYP3Agt47rRJ7F+tm+X/oHv///Oetsxvd/+Qf/28/1/9TkN/7DbWZiZehH0bx+29eCU4dT376M+Vg+IHBt9y1eMzydvqNLi1H/lieTJqFfUGYygmH27dsx7Qz4FB+ndozR+/DOCO370Ou9F2TsumRuKPx6fkUjMTA4Fj+rXmRQhjDoWzuwi4+L7nwM+8PPTCYveK8hzqUmd08nrwRei4j0ozKVTnYY//HXfm1Hf/9znxzavhMdxlsC7BsxKOiGCG1fdsl/JRU/qssnr+Umd+hHIpSWU6MTXmH0Enb37eT4yMf6PrJ73+Qbmfmvv3bszB+eyWUXM/GYtbmK828WPg71McHYqQWBR3XMc3unkyyQ/DCfnLDEE2BoQXklExscihs6Meqvn7yEtK9u6iRBr/c+e9+Ij4QexkKq9l3PkX13p/K2fHl4qksS0Gcp1qQ/9A5qFfV5Z8VxrTTLbpu7MOnY6M3RYbxVwL4Rg4JuCFZTa4l9tRRN45I777dRuH0nVCjTddi9g3bLy4qXCfj97D/Sj5+UNtKaScVRXblw591CUQzUZHHkJjfB8Gz2XlnGkX6dcMpmek9gHoLe3LFvQAa7FfalWHZPesVbWcqFd/3xP+lzKH513byuRqt0vTI8nTwnH1lM8l4PXZTPC0H5CnXblxIJE67D5gHxRCr/0LpbyC9dFmWIHv3IgH0jBgXdEKym1m5f1sjGxuIsenNaQNctHR9j0VtvrL+hBjpimoo20LEa+g1FbNxGQzNZUgSZyR8ClkxDlioFx32xRPo0X0Rs9FCK3ZUmo5BuYM4olgN0wnjIYuWx5LITHhbyF+3fS7z5aDwj7gp7+Rcp4/ZlQbn9u9uHtGg9Qnuj1mBfcbmgvoO8kVC9+iR3jjuGswj+1j64FK/bSYVa7LtRyF/2HKTrlo7vcZLYomRYGWqS+XY6RHQYMyVjNHuzgH0jBgXdEKym1mXfCiGOP0jqNlgDyvxqdd/K6UC6Tj5nbU6hk8SZ4yS2OrYL9QSaqskccwd5iGdKY/N5YR3eHTDi7meld4gu88xMdpMUyK4bdqnXBBb0SrqekA9wqN9al6N2f2sWuL9XZfiYBf2h3/183me12FegPc4akB3G7rrE7qLDuD5g34hBQTcEq6mwb1VYXCLiFXW2SS3xCpWYKqqikdjuHz8sen+1o5Y8qrNNRvckQZlnFvhOJYz79G+xtoDnI+jdWmVf+xJEfLup1BlKjcSzK/kze/Tq0n07ftEwqOSTWYS6S2Sb5ZWNkCgF7kOTCyshBMzs+xnNK/kBh5uzTlkHb7kF9TpXJ2QeBQRRt33LZvrFyWSu+q/m72XraWDfhmA1Ffb1w9pBT/ctawfr76ujEU8uUW3mU9v9RVTBgqrqWBNgGOkZ30/g1yGjaGbn9sj8thguJDqJVVyfG7iOPP9Zm5h5ZuqaYCrdXF86POcaw+x7JWNjPXtgiM+2tL9dQO+svmAt9N3Jflh0bvh6vrlWrW8qbmJ1JPeo6eBe51oJGkNQZyXsAeq1r7hs1Q2891YYXusw39cG9m0IVlNhXwaLLTxhh8gBNifs4GOLWIvM1GVNS+WSUE0mbuSzSvadSGXTickjOfOBz08MnX3l6jw0KImLYdDK9KodmfS5st+XNqfSxt/hYl+rJ9uP6tRyKX9y2joSMquqK18F44Hv3leTB5UMM39NOPs61pRRMl+oyK9S5cYHLlTfnov6oQNGmLcAVhU9CRh0GHuo176Uwxg9ljMuuWuCdX3prGwVZkReDwH7NgSrqT1rX9acMb+G6L5tEHFlzew7k8keHxMzU2uOfR/mk+NcovLyXDWZjc6+7OMLq7T+NpfcznApWT2le6Y/QvV9XDDqMbvnNIvcgDMk21PB2JEf3JNc/oGrf5dM75+ty68wfAVb/tBc5RcTQf3idbWqgf3QHL4Y3P7Gw98g0GGspU77egbe+8fhl1bzMhsE+7qAfRuC1dQ67Vth2SMeOrSjfRvuvq0LHn3u/sLkXuqRvc8lyrzyOLR9+TBda7NkxxzB9vU+KCiXVham7YFXzSHIvhRWutZjEVQ4PNEb7bavnQlfz778Eo+n3e7kr6k181yvfbUDnnVpZ3kTMVNz8s9hQIexoC770sWxMhlPk9Kg3BUldWBfF7BvQ7CaWqd99c0o0Taxr2iVPN23olWSr2g9/GQenX/HOC7afT7Vh5mpQuZZLViZsmYh7/X8oqo6t8lKpsFtR7+LNhorLadiB53JvmLiTeG77ljWwhPj8herB2nfrLycZ8yw7Pj096JVsC//CrRolxgOXVTsaw+QbqV9/X/lnpvkg7LlDYx2bik922Fcl3152llZOIVqqTyJ2HUkjZ93qgfs6wL2bQhWU+uy70ylDX35LFW51EDE2Bk5OwiwM3JbFASwc3sqlX/obff5BcoIjUNWz2d25h9wz5Mul/KnD/NBUtQoaOzLGohsYvIY76HUr2bF7HU2MbqDTM/CtREaJ0y/Dm9T/PNtaORUtS5PZQH68BO7PfblG5grf8e+yJXUzAFah5KXiT8D77dv2MyzhfUOD+yZYMpf+QeUsUc8K45JaPBaUFzLvsiNthoWy86ILUj5bAX12Ne6wLWGIpKMZb2inBM7F9behn21wL4NwWpq7fZtL0Tj4um+ZY1LG3SAcXcmaBnIwKhLcz4XTeOK79pFa99DmfNzY5YpKWO2zd800OOkFk82WB8m8uMJWJDSwtrhKpOc6O+bOJ7cvyeUgMUxHzfedzYwp8eZroxMfFxRXVj7atrBumJfkWz8ejY9L+dlVUSu82wtTuK5idA/cLHrLUbbYdya4Q5bQO32pS4PtU+Hy9hKO9sdwIh9A4B9G4LV1I6zr0isscNWr+WZgNvuWr5s5k4aQktWu/9Dbw8ixWpjk8fsppzG5foH3Hrsa7UaTn8VDcsamEgc2udL+XqiTItg+1ZsX4or6Rna15nGXbNDWr9nzKnu1CIUKwJK27ssLr/EHxyNu7YtoiDefwxNtG+5cPVI/Kw1AI0XJu/V21zJzJys1jVOq4Z5rjZ4JkNdaLpj8HcYi1wRM3QndhjXbF/m1+0Hvrl41KpXNDLRuvSk2kImhn0DgH0bgtXU9rdvO3TfNohjDlevKguO58dG5/PrNzJvVt6ix2NfmiPhLLtI7yOyZ7QqRbXlJii8dvJpKhXbFxn1iisD5ZBEIlq7hle5cOsEXU+4vMsepi2wtNld3thpgni/fevKPM9kjPMJpRec0siiJOXg6uAfgl156AL9jrWvB3aieTqM2YnWQR3GNdqXXUgddPUK8cu+HdYOWsqYdtg3ANi3IVhNbUP7tl/3baO4zWHBpbWbOpw2CkYy4Z/s7+CxL/tbMdKKQeOZB+z+V2Fi/9YFfAkn3q07cyC1uMQtWGvsy49W3dfZfUhCzG7FEjRAyRPdcljbZ+/O5ILywBqD+u2rOc7qsS+7DlC6bOkncA6DBqjrNyvkX3Cf/qlusa+HtS2ZI9AAtdm3+La45LXq1Q/p2uvGCq+u8/ni+84oCtg3ANi3IVhNbRP7Mt2KU93TfdsdY0M09uWt+biyyjHP6O70LndXthaFoHFAmkG2G4XlU9MD7t1txfRZ0W8qpcjHlXg35+dtCvUHq7EjjTTxtS/0KTGPQX0XBLSuFl+ngt14t2iFMcNu+DA9uiBgyAPWrGJRk33LhfxbXt+LdL293oilXvdFD4XC3muIcuHt+fixwNW5NfblP1x96022LeKCuJ07jGuzr4WsV+bb83NL/KKMd/fuPp5OOvOOYN8AYN+GYDX1lVdeYedV9Fy/fv0b3/jGq6+++rnPfY4dht19y56SB9c9eFZgZk0zH9+buuqZFGvbi7X+zuKL5cLygugxdSdFxeNDk/PXvFZg4Wb8ZTmGk/372GGmEr8I9WGit33hn5Kc1+3rLOzr1SQdVUCMWAEmYDFeSXx9TfpXlOFEKiuGK/Ox2QGZZ1Z6x2iGtLpKEVFaTk2Knl32E2QTsRnfT8Cgp2iCtUzgM5NfEl9f5A/cn8hufIK7ssUhu8nv4juAbuFRS9eGq5eG7KteRF6/mntt3Jm8B/sGAPs2BKupn/rUp56PnE984hMf+chH/tpf+2vibGGnTdeEuTqYqA5NJ6+smMsXs+fmk6cuaGQmYU39RX/U6OSZiZJ5LTl3OJ1153hrpGgcnvGbmwsmXNAmvlS2iVPLeNy5fUpnRAaXfcjtEyrDSjh3IjnPDjz4nfivEPwbARumW3bFLFLTDBEQb9UFdJPsK/IfYkIgAfsGAPs2hKisW462i7cLpkAA0GUI3TLPqZ3BbZKyapJ9acqvulw571kQ4/JgXxewb0Owc6YdkEcTPAUCMuZ4V1oGoOVox161Zw9RM+y7UTCO2nPofcC+LmDfbkY7BWLLu5e2DH4N7l+dim7peHCTUROs9Tk2HXL5qkJ2djJ5QaTEC5dTyXO5KtnaUj4Z843zcm4XkjN7qswbDgMfBD47EyZHvZab2Z+iFHS5cOddXNkQTLdBJ518RbvSsH3FcugVziPY1wXs20N0brvQHLh9/eOkONSCuEc+2/ARxV7PBd7E5np97vUj+Tjk/Qn/0C1+PNYSfbxvLOAAHPhAZf8iVhY0jEuzSpQ98DvcTY54CrMEJm9M5fRlmpe8076Y6CUqnFaddY3bmH036KKt8t69sK8L2Ld36aCcWHPQj1Lm+PquqkLTcMNvwkOLeHinPKkzbfixWf8uF/LXtQ6jOT+V7Ru0DYMLzyvrbhPJvs7x0DJemqnS3UZQ/06np5QasO9EKn0yFbR2PavPS7T+OV2Ydn31CA/sCySs7dDKmElavqLT4Ybzz9DlN1qfsgb70qhOPivXtwhGELSIB7fvY2exTHWmDY84xb/FFgXaOJis2Vr7skD5Zuhh2B77sr++l5uZSOXvraSPHIlkc8Bo6JHhFPXad/7FUP0dtMhoE3pGugfYF+hhMmbti2dxgM6e19Sk2JdWedwxdugQrZB1Kb9yr85ca1DsG0gj9lWXlhRrj9g7TKtb7dK+NJ4YPTD3Ljax8e6XIJfaHpiiDZc6EhbC2vWfuVbU/+7TrYf67AvqBgUNqqM2Rh4Zd1Jj1Az78mWb+DoVCysPl+nd7jE3ZebmUothNoW8b8wdd8TG7Gtv88CObdwerrJRyBu6d2vEvurfel6pxr4Ba2Dpodi3XbfprYkKNbx7cj/VgH0jBgUNaoY1VR2ZiGvYvjLqFdkz17s52wC7l9oorqSPHE5fkiotryzMzXuXl/LfxNAtzRjsRvp9G7VvWbP2JNlXbrTceYiull7WrQfYN2JQ0KBRKvSKtdcgFJ7prbvfV6wIrax96He5tR/R0KQy8lMuvMxXGyibCy+7hpw4quP6DxSnDY15DtoZV+STWxf70hdxL8wp7LvNtZ8x7/od0S11ufUI3TLH9MowwxqBfSMGBQ2aDAsd2nQCBrdvYOz7GXtR4iVfDpmvTDmzx7P7kD6SptUGmJDUtX74uvPMvgUzfcS9qnOAfQNXBWGvjyliIxk7oTA51V5c1ws9K81dod+X1n9WbaoidkJ0RnqTfXftHttuJ59pm2R+ieOss72FsKoI3YYH9o0YFDRoLVoZR9UCuqe6po8m1KX8NTcx3nibstVu0bx6MjHnyScTFEnrpk/Q8Ga/BcsrmfEjRnGzaMzxebH845ytDnjwLXUo1OiftuvHY9/KuF/MLwi0jizlT8QDVorm0PaF2yzHk30nT2biu6gcaMaRdpfiqKhw5SdfAYKBfSMGBQ0ihbWDkYYj5Q/NVSmDcuH2dUcMZKPqyd5g+Ehg93YO5cK7twNH+TJvvUgxpdLHzI/BF/t60sIK3vfX2ZcdVfXtDcR+R2LpXR3ldeMrRwL0T6v4yuBY2Hdxhb3bwETi0P5E0IzPltG+iZYOBPaNGBQ02Eq0Mm7NyBehHHsebe325anmgIUq+U3EzUHrbzw20xMiUFbsy+w1InLX/EEZUAbb1xuw0ldwdQPTFCD3MlV8uyHnBcrLAvuPrYUR9PG3PSHY2kmQ6Z/viLwjmr7eoEEG0G3jwL4Rg4IG7QJrPVkbylrS1gxDFZvD2/vp6uzLAscKCyVy+27Tj0jikDWDhm5xP8XEdF7HvtymO8ZGY9Pp2yb7WxnFBtqXsr7q3r262FdDcdX8ULkgoFW67JlOEh7Rhp87RJsQj8ttgPkBiJW/goPpBqgwpq+TZrt1ArBvxKCgQZuiypi1ubaM62x2uf8GlfFEpC5n5JEd8w1Pn3hbnz6tx75F07iSX7/Hx0JbbrPty206On8rf2ZP38jY6DBfviMWX8ivrevt67l6YIS0rxu+5uWIXFxaQh3V9orTleED0KiLmvcNi8wzHQAf6jwcrru6CtrfHbqNANg3YlDQoDNoMAaSw4WcSbS62Lcy9cW+5UI+S/sWWJ9l2bdgiMFK8gVMqz8kC06lklOaA6OrB3dmuw770phkuuZwxpHRGtSuQdpaSqbBJyIPKosFKvZlByhW36x9iasW5zxAWGDfiEFBg45ElTFrL5iMKw63oczq6LFc9oi1k2BU9uXQp1uWEva9YJxmgW+ea2xjPXtwj8gnswhy7mQuPeM7MBGejnw5vXB4dMTVdV1r7MsXBqGFpuVeRnTzJqJV6PViARCvWV325Qe5skDvOTydvFJ5OV/2M30LK120GbBvxKCgQTdQeewrBb4is1o0s3NjfbHEm1dzr0VlXxG2uuw7MhY7JIRXXl86/BV1Lz9tvy/5m4ZlUYgpxl49qMu+CqWVnJhhJW58HJZ/vUzpVNcSIhKPfRm2gIWDz9szpIVuWfse0Vh3UDuwb8SgoEEXYsuYt/X/5//p5//mx//WL7187rJo68WqkIMU89XST0n2tVal8N/EmGedffnMYGdBKLKvPUBpo3D7jjtRS/27LvuK/ZGcQ6UFL+n42a0++8o0Mv86OZ6CLppGVs519qzVxWEldtOJZe1JTWLbRN8B0JisWP/fOfRPz12CbjsI2DdiUNCgu+H7mv2dl95g6nWZYP4f//6RePxXd0qHeW4DU6msb9ZsvbGv6BC1/9AedUX3HPjUICsb7Fptiktu3DuRib36TcoG0013TZBOJZe86V8mTmtmVCKddS3dRbB3zdEORYHLXXHK7G0sVTvrjVRIP9DzoN2BfSMGBQ26F75qxJx/5SY7C0qdjv+3vbGxLx744rFjx878oVgCesmvJQ6z73iFDX1pXa2glS7Yc/KZzcLSycqLSb3oWSb6K3PB45hYzLrEj1n0yzo3R4pc6nwtrbnDcqaye4UQDdTRW2HmlaB878zf/zu/8tu/d/x0Rpvtly8DnQPsGzEoaNDTYMBteIKGnUO33QHsGzEoaAAcbBkLwQgZs7u9Odm0wVleoLOAfSMGBQ1AIL2mHzUTwL5sj1989Bqwb8SgoAEIi5Bx0Lwm+aKOAol3YAP7RgwKGoA6qTzJWL6o/WCHh5UugB/YN2JQ0AA0ByFj1oS12wxXods2PDDQVsC+EYOCBqAlbKHz2HUAdAtqBfaNGBQ0AFHAzNe67tUKOXD5CgCqAftGDAoagKipMNYp5NDiCrrt0PFfYMuBfSMGBQ3AFsN8WXVekxhu7X8NdAuaBewbMShoANoLj2g/+clP/jXi7/29v+dRMgBNBPaNGBQ0AG3Nq6++KtrEqakp+RAALQD2jRgUNABtjd0mwr6gpcC+EYOCBqCtgX1BNMC+EYOCBqCtgX1BNMC+EYOCBqCtgX1BNMC+EYOCBqCtaZJ9i6vmh5V31Qc9DuwbMShoANqaJtl3LTc5PBY/k8tmfbczidHxw8Y63NzjwL4Rg4IGoK1pnn139E9mC/KuwmY+tX3b0OTCSgn+7Wlg34hBQQPQ1jTJvqV8cnewfXdMZ7G9YK8D+0YMChqAtqaZ9h2NZ7xp52xuMTk9APsC2DdqUNAAtDWIfUE0wL4Rg4IGoK2BfUE0wL4Rg4IGoK2BfUE0wL4Rg4IGoK1pkn1pzDP6fUEwsG/EoKABaGuaad+g2Hd4JrNS/PGPNwr5yxfzBUw86k1g34hBQQPQ1tRv35JpODHumcPx+QvOXd0tHR/r29bfF0tkV0ryLUAPAftGDAoagLamgdh3o2Dekx4tF/LXTdupm/nkzr7dqTwkCxxg34hBQQPQ1jRgX4WikRhwFrSCfYEf2DdiUNAAtDVNsW/ZTO/pG9yTXhF9ujr7Fk3jhonFJnsY2DdiUNAAtDXNsO9jM72vf2DOKEq5kn2Hp5Pn7E7fC8mpoT4WHJ+6VdgQrwG9BuwbMShoANqaJti3vJKJDfb3xeyNjJB5Bn5g34hBQQPQ1jRs33LRmBvqGz+ePXfY2kkQ9gV+YN+IQUED0NY0al8KfIdmsuvlcsnMJkZ3jMXPvpM9CvsCD7BvxKCgAWhHEomEaAr97NixQ76oOhvr2QNDo0cNqze3XFheiMf6+bze4en0HegX2MC+EYOCBqAduX379rPPPitaQ5Wnn3767t278kVVKJfy82OKei34mlZimBVp2HMbnk5m8xh71XvAvhGDggagTXn++edFa2jD1Pv666/Lp6uwUTCSieSVipOIyiXzuj3sWd4MZ1EO0FPAvhGDggagTXnjjTdEa2jzwgsvyOcAaDawb8SgoAFoUx49eiRaQ8FHPvKRtTXsRARaBewbMShoANqXV155RTSIzz777NLSknwUgBYA+0YMChqA9uXu3btPPfUUaxAbWWYSgDDAvhGDggagrXnhhReee+65R48eyfsAtAbYN2JQ0KCFiJMZgDZB1kugA/aNGBQ0aCE4k0H7gNpYGdg3YlDQoIXgTAbtA2pjZWDfiEFBgxaCMxm0D6iNlYF9IwYFDVoIzmTQPqA2Vgb2jRgUNGghOJNB+4DaWBnYN2JQ0KCF1H4mP8wnDyTeXC64Ficul/Inp+Nnqyz9X8pnkguGWZR33Wzm51+Mn7mYd79xk3mYT5/MBK2TvJlPjcczS3UcwWMzPTEWTwd9tRawlosfWXAfKRVgfcewlpvZn8q2tujDAK9UBvaNGBQ0aCE1n8lFIzGwbWjy1C2vaJmVx/sHDuTWKwm4XLh6eHRk+sTb/oae9pOvvqde2Uy/OJm84Nl4wHs7l5rcrf2UH5fXjbmY7vjJvtvZV1tYCdj2oGwuzWdXNIfHy2RwbO6q/Ljyh+ZqCAWWC/nr7Dpgs5DdP6T5RvQVgvZgEJ/ovtwJWYA61nKTO/o1Wy01QGk5FTtYuTL4gVcqA/tGDAoatJAaz2TajDZAscyLe/pGEsZ9ca9kXtcFsuWiMTfUN7gnveJ5iuQRYj/5Qnba8zL/I1wnw2PJZf170QVEfyxt+o6A2XdnMr8p7/thVxh7x+JZtxHFZcdUalFYczETj/UPzGRW3AJmrl2yzWq9jMvytpnd37/d/6nciAEHQ2Xo+xV8BRj0E/gh+05mC/JuNUqm4XwR7Y1dOgzzzRBrNDq8UhnYN2JQ0KCF1HYms4BmdPywsS4adCaUi2qbu5icjsUz9r+Z4fpi9osdyiuZ2Mhs9p7Pfc2178h0NmjDg8dmet/QTNZ7ZNXta4X+zt/6NujlRTTIYtlckPb4p+xQjo3HvjXa974RHxmKX113bz5I+wEPTyfPyUcq/ARearSvhsbfgQOvVAb2jRgUNGghtZzJFPnJgJIFwfFZNbXLrTMSmCkNQS32VRzDbun4mOeR7JnE6HCwfQMIY18yX//AnFH80EieuWVeOTx5TAnveG5gZ3DumlPBvjw+vmwlkwPtSzmG8VT+obxvQQW4P1eoePh6YN/OAPaNGBQ0aCGhz2Qe5O2xvUIRXv/oXE6O8REZ6anU1fo3fo8w9g0glH1pfNnc1fWVhZfT1430oku0LKwftzs7i6vmhxoJV7AvHYBVqkH25YG7Jm0uC9C2b7lkvhf6SijQneXC1SPxs5UuJiSwbxTAvhGDggYtJNyZvFFYPjU9YMeX1GeppFvL69nZ7aKns3pfY7lw511dX6DfviwUfMv/VmFj3x3+rmVJufDubd0R+u3LjuCS9sswBR7JmI/5C5Te3AvJqZ3W+CmZB/aPgapmX+sAAuwrrnucfDJ72S7x3ekTY4n0Ij8YSjt7RpB5ewqcGysudi1l9Rp4Hu/TDrLzAPtGAewbMSho0ELCncnUu8kHFl3OF0oF4+iYOuSndCczOaEkQosr6Zmdk/PXnKkvXMmuBp2Ze/2eexSSr9tSNv3ebkvKu6qSLprZIywYdTuST6GZV2dFOQOFxHAn9rbfXc9ftj6LbtJY9vBj8UplMLNN0UiMawdtOVrlFxOa3lzlZfIioCb7Uo6hb1u/E+MGSNrr+Mo07s6Ad+AjzPeH6HiWwCuVgX0jBgUNWkiNZ3K5tLIwLcNcorSSi/uaV5rVQwN6tZGfZsAzI2zmWaFcWF7gUTgL2pZonutG4fYdXaiqUsond2szt275VaBcNI686P8KbuH57LtRELLnjh8ci5+2LgLurbvsaxeOTqs88N37avKgkmHmX6dR+/JxcIPUmV257IqmseRcrLhu2uhZXL6EHPnFgVcqA/tGDAoatJCazmSarbvXCXPL93IzNLFE3phUjrFWmMJHmnPiD/6CrVCLfXkwfSF5YDZ5TslysyB4jqegq0x4Jftq47yQ9pWduyVpU/smtXpG3KVQnheLN23rLQEl9uVJdfspv31Z4HtwT3L5B7ygXPbVTBfmBxPavjR7+BdHx1/2DUQPTePRMwdeqQzsGzEoaNBCwp/JpF5nuhHvRVwybmWPcgVmk1+Q2nCcUV7PvsyiKfFim8btK2br2h2c8sbDLC6hoHWsHBq0L40+i/u+F8P91apnniWOfSmpviuRvkLDnr325eX5Ep/pRAXVzNhXJvOvZjXp9LDAvlEA+0YMChq0kJBnMjXQ24Ympr7AzCdXlrDnxoigTayz4Y/Y3DRuX5HCtdaDZNcAueTMHmeJyvvX02eULmc/jdmXh/sxa0URN43aV6xDMp6I7+vnE4rec5ck+9Y3xRjmZtuXBlHztPODfHLCPw87HLBvFMC+EYOCBi0k9Jl834jHppPn9csIO3N+IrCvgNnoUia+T3NIvHN0h29FKpv67Cs+TvRi7uOjnQXqqk+azLPtSIVA+5IFtx/LnRd3i6YhgmAvfvs2lHmmTt8hiuZp7HqVtUIDgH2jAPaNGBQ0aCFNOZPJB8JJNdm3aF53pv6Esy8PfK0uVU/ymd0WM/H9/EHuHnVFKhXVvuWSedMxXCX7CsSikgGjk9xa3cwvHEkbmisA9WVM3sZKQUzMlRa8smJ3AxP+CVpNjX1pNLuzdgf/ggHlVhnYNwpg34hBQYMW0sCZzIKzSxR3UvQmnaTaV7fgg20F31yUcPYVtrCz3+x23SwVfQYSq39oNWnbd6NgHHNNVapuX2WElJ+QwuMvE2Oe2YWCrWfxvdgVTMn9EewTj3jKpJn2pXFzLt2KNctq3qoB9o0C2DdiUNCghdRyJlsTTtLxPTzVKSb5MMSyw2IgkmpfJoYj3tSrsEJ6KTM54tkFIZx9GbSGFJf3uDUT1zJQuZB/cz6VzvIDY//mOwj5EfY9cy09MzQ6n1cvDqrbl5LD2nwyo7rweAFaa2K4w2KRLecF4hE8+8SDVe1bb+aZQnnvRgg0qWyg1r2SYN8ogH0jBgUNWki4M1kMCNpGEzqZ0xRteFOXHvtOeW1KhuPzcHzpzdD2ZZ9pzSdOZilvbNmXniuZWTHrKWCfA7Ivj559HZzV7UuLPNdnXzk7i0W9vl2Q+XIlw9a6VB77sqPd5xnk1aTYly+KMuSsFaqywRdU0R5qILBvFMC+EYOCBi0k7JnMQkndmotyv14nTuKtsDQr982Id6EoMV9It0dhSPuWC2/Ps7jZJQYuRZeByGf65T6kQYc1g3ur25cc4zpIWsZLTHPiX62C8JRXKtDXUbciVtP47OmVTGyHpwxrsi/73TSrdfI1UsYrylWsLcquk/jqYwFLh9I3ymbZs5vr2Vn2Yti3xcC+EYOCBi2kgTO5aF6dn94+5VrQUYZNPLqlm3+ZRt5ka1vzEPblnzg7YwW1fLyxvZqSz5piPWRtHy37Q2vCkovq9qXJTt7onz2YldvZqsOhq+P+OhZ0QcNXV7ZuLAZVx2+LPMREKiuWneKrmgRkntkf8sVP+PC07IpVrEXTSCcm5zK+6wAfMotAXezK7DIX7DWG9RPolzCrCXilMrBvxKCgQQup60xmbe6V+eSpC1qH1ctmfv7FeFo/o4lRNnMn0jpt0zBd3TYALOy7WN0xCsy+4/EQWtLBA/19iuQqIwswcA/gSvDg2LN9QjjYVcK5VDLtj78rUf7QXA34RRxoNpq63WS9wCuVgX0jBgUNWgjOZNA+oDZWBvaNGBQ0aCE4k0H7gNpYGdg3YlDQoIXgTAbtA2pjZWDfiEFBgxaCMxm0D6iNlYF9IwYFDVoIzmTQPqA2Vgb2jRgUNGghOJNB+4DaWBnYN2JQ0KCF4EwG7QNqY2Vg34hBQYMW0pNn8lpuZn8q65tsW17JzMwtVJmDW8onZ7yrNDdEcSV9cFYumdnrwCuVgX0jBgUNWkgvnsliLz/fAh1lM72nb5tv1wEPtNFCldfYlEurq9XXoBBLQMfSpueVfP/Bupb+6FjglcrAvhGDggYtpBfP5EJ2WrPQtFjB0d4uIghah1kuaMzi4L3TyXN8Zcd0fKwvdvjq8q0l/3KP9jqR1iZR3htfL9O3WiRfQjJgqequBV6pDOwbMSho0EI6+kx+8viDbxt/fPr1TO6G+YPNJ/LRKjDLHtkjNzfcKNy+I2NTsdOt3CdRoDzr4LGvtVE/N7qynTC7q1uzulxYXfWmrMVWxJ7lsqvyo/vmu3kv7/+XwsPHIYuhLYFXKgP7RgwKGrSQjj2Tn2x+cP33Pj9x5F+v/EXpw++c/0d79v+L75T+Sj6pZy03uWs6mU5N7lYCVrkPBKWd+X4+TvSpPKsg7bteuPNu4YHLvrSjg1xcmttXtxGhb4MH1yZRaqq5tDwfP1txMefN0r2rr73w0/19/Z/edyR9/sI30/94+hcGP/kLM6lLK6XOdDC8UhnYN2JQ0KCFdOqZ/Jf/+Zu/NfI/J/7kL4RmntzL/dbw//w73/p+Jeuoew8T3JFiq0G+7aA78BV7LtkbEfKtmcjKtKvS6MT06GD/6IHE5LDbvuTm0fl3jOPKJoAqFOnamw7xgHu3lVsWT4lPpH3v+2KHDc8myB7EbonO5kJPSn/2+5/7mf6+n/+tzLc7UcDwSmVg34hBQYMW0pln8ub3r8Q/3bfrFeNDSzEb3zs/88mP/frp7/wf8gENWvvy/DAPfEfn2f/l40TAjockPDXzPBrPiECZ25c9u4u5cIP9rZqIdkFm3X7ceN/IxPeTX2njQh5qi17ecik/P6bf996D1768ZC4d/Km+bf0fP/jW94N3SmxX4JXKwL4Rg4IGLaQjz+Qn62/tH3Zvpvtk473Xf7HvE7948t3gscgB9l2+k5uZ8A+20tuXxku77KvGvhvs2V0J4z7/W+3WwkR5PfvyS9n1h0ZiwM51n0mMjlNAXC6tnE3MqRv6VsBvX2vkdt/uV29WHj7WjsArlYF9IwYFDVpIR57JP7z56nB/vzu4fPK98xMf2/bJz5//XmDGVZ95/sLkwSPGWtG84dlaWG9f/id80/uhyflr5rrHvrfeZ+bbnys85vlnbt9yyXwvwKPKU6U7mcl9TpK5tJqvHvUK/PYVVyHb+j82883vhZkT1V7AK5WBfSMGBQ1aSCeeyUK0/cOvvfNDxbRFFkr6HnQRmHnm/y4tp2L7MyuO9nT2FbOStvVPnrvF+2hHxkZ3OPbt25eIj/cPTKUWRd9wPMNnHDFP+3b+Lxfyb86nRNevrd7yvdzcUVrro2henZ/ezt7nerUI2G/f4nsn936yr//Tv3X+u3/ZeR2/8EplYN+IQUGDFtKJZ7JMrnqWpxD2DextZXD7uqbV8q5W26+0jIYyD5js6xk5JWzH7JstMFuPDvJ/2/2+7MXm+9e5PvnLXJp3ILMOyOFU5cLb8zMH7LlG5fXs7IDV9buywMzd7+uNdiOO5xO7jl37XqFQ+GA1f37ulz7Wv/Nz/9T44EfyJR0FvFIZ2DdiUNCghXTimdyIfQNjX/m2dhwpwlyXffkLBg5lzsxQvFsumTcy8V0y9i2Z5F1CHslU6qp7pSr5+IyIsMm1PInNR1DHZlKL1oBq+RVo7JV+4LSNZd+vnLt2KfvNTOZs9i0j/93QU5/bDnilMrBvxKCgQQvpxDP5yfcv/fbHt/Xvev3bG45mZDra/aCbKvZl0W5q+zbrBTR3yCU/FhzPzGZX172rbSyaK+dTJ9+23Eva3rV7bMCTtWZsrGfjL8spTIyiadyg3DI/MHExUS7k37Itzu5cck0O9uHPPHc28EplYN+IQUGDFtKRZ/LGu6/v+oQnzBUB8U/tvxQ85beafZnM5uaszLPPvixyjc3nSxtitQ3FvuzffKruzskFvjgGn8IbS1y5lNrut28QvgOz8a3O4Qb27S1g34hBQYMW0pln8sN3ju12zzgSieIdE+e/G5x1rWpfFY99H+ZPHCcxy7Wu3PYVvbnbhuJX1/PzYyyK3WBhtPudWSCrLgHtup1JjA761nlmN7HUs3+9LRvYt7eAfSMGBQ1aSGeeyU8evff7sY8N//aldcu1pW+fHO//2d9564O/lA9oqMm+NAjLmbNbXDU/JMP57Dt6KMUXzVhdSe8bmjz0ZTFwmiex6Z3ZP14SL65AcOxbBdi3t4B9IwYFDVpIp57JTx6+9/q+n/rVjEnzap78xZ+8Mjz+1T/584oCq8m+ZFbNihmqfYX8rNUoy+vGnFi7ir1Kse+v+bYO9AL7SuCVysC+EYOCBi2kg8/kzf/+3h8d+vyX/nnuX5997eXfed34r9W29+GSC55xZCeH+Sxb2vxg0LPyM0ExsbQvrUt1grZLIvXK1ZsZtn35OOequxbWYd8f3b/777919p98/mf7+/u2fXL0S6cv3fj2WofureAAr1QG9o0YFDRoIR1+Jj/ZLP23//Ld9R88DhP7hYl9ZQ8unwik3+vX7utVKK3kkvO0UIaF2DCfv4kzxSiYumPfbgNeqQzsGzEoaNBCeulMXruYPJlTHVm4nEpe8a0nJTY5iGfszf5clPIn4qms/S7M1qdTJ/xvUgt87ehxZ6XJHgZeqQzsGzEoaNBCcCaD9gG1sTKwb8SgoEELwZkM2gfUxsrAvhGDggYtRJzMALQJsl4CHbBvxKCgAWhr7DZxampKPgRAC4B9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUBbA/uCaIB9IwYFDUA78vrrr+8hPvWpT4k28aMf/ah4JJFIPHr0SL4OgCYB+0YMChqAduTGjRs/+ZM/KVpDDzdv3pQvAqB5wL4Rg4IGoE15/vnnRWto8/TTT7OYWD4NQFOBfSMGBQ1Am7K0tPTMM8+IBlHwK7/yK/I5AJoN7BsxKGgA2pRHjx599KMfFQ0i47nnnkN3L2gdsG/EoKABaF/eeOMN0SCyIPju3bvyUQBaAOwbMShoANqXBw8esNbwqaeeWlpakg8B0Bpg34hBQQPQdjx69IhFuouLi7/7u7/7N/7G3/jEJz7B/sHusgeRfAYtAvaNGBQ0AG0BM+u3vvUtZtlf/uVfZi3gl770pTfeeOPGjRv/mWD/YHfZg+wp9gLWULIXIxcNmgjsGzEoaAC2hrW1NeZU1uRNTU2xJo/9N6RThac9f8jeir2hfAUAtQP7RgwKGoCIePDggSeEtfPJ8hV1wf5c5Kg9QTP7OPkKAEIA+0YMChqAVvHo0aPbt28zNTIjfppg/2B32YMt6r61O4z9nwgZg8rAvhGDggagaaijpdRIdKvkxz7U1j87GDXaxugt4AH2jRgUNAANwUzm6YUVid827IUVPc0YvQW0wL4Rg4IGoDZshwnddq7D/NcN7N/ted0AGmCjYBybnrtaKMv7QcC+EYOCBqAKPZK/ZV/HnzPH6K12pGQa2Wwu5C0dH+vb1t83OFZNwLBvxKCgAfCCsUsogQ5kYz17YKgvdthYrxbl6oF9IwYFDQBHpGH9kR/SsAyM3mp/yuvZ2YFt/aPxhXzVHLMe2DdiUNCgR2Fa9fd6skeg26rYPd+2jEXRMRnLV4BoKReuHh7dMXbo0PTA4NjcpfzKvZJ8pgZg34hBQYNewe8MFsDBGY0j0gae6xikDSKjXHh7fnJ4aHJh5eFyavuO6ey9kmlk5uZSi5fzhQ35ohDAvhGDggZdi5ovVTsvkS9tKax4WSFj9FY0yKg3njVL5R9v5sm+4qJno5A/m+BPnbkYLhcN+0YMChp0D/ZYIbXpZ3cxVmirwOitVrJRWD41PRBLZFdkntllX6JcuHViaqhv29DkqVvV4mDYN2JQ0KCzsdOeQrdTbbzYBcDoraZRMq8lZ/bE04ZZlI8w/PblbBSMo2NMwDPZyoOhYd+IQUGDDsPuvvWMlmItuHwF6BAweqsuiubVk4k5XT65kJ3uG9yTXvFJtlzKz4/F0ibs206goEG7IwImz2gpBEzdh53GwOitOuGrcFznHcA25cK7t8NOQIJ9IwYFDdoOdBa2mHJpdbXOOaERIuoARm9VgqeaY4n0ond9K3lbzMRj/aHX34B9IwYFDdqC0E1tKZ+cSaSzru4uD6xJGo9nluzEXLlkXlfSdFXfgb8+Z5ieGZOb+fkXPd1sDVEurSzMziRz9a6N0ACbhez+/tF4xttYsxtrr8erLkkYivK6Mbc/VLtfyM5OVikHXJDp4fbdtjOZ35T3PdAP3bc/Vwh43g3sGzEoaLA11JtmFOaYz6vpNQ+8SRocSy5b+hRtkB0B0N2BA7l1awhouZC/Tq7liTsRLmzr7xueTt9RBVw203vCL+NXumdWn2oplgbclzEfywckRdO44cofNpkKjTK7NNndPzCTWfFfZNBFidfWQTe7GEOUGPVW1qR80RkhZMwqT+92RsC+nQwKGkSEf4gNazHDDbF5bGbP5GTQSQ3KZLbA/10uGnM7J+eveeJR3iSpIz/pT7YfN1ZEulXcZS3WZmHp5PxyoSxsHT/DteELeR24JGRDtplPfmYyeYFr5gyfUjl3Kb98WXHPudTkcP/onHXMwd5Kx8cGplKLrgcvJMUUkYWVlgmYHf/OCvaVxRuO8r3cDPuyR41aFnZwwQvWP1K3Bnp39Bbs28mgoEGrUAMUkS2sO0ChNWxFFKXYt7ySiQ1almLx4iWZFtbbN3nrXvblmVO3Cj+07HvfiI9wbay9rZun4cNtX8tea7nJ3QnjvngJ3d2haQ3LH5qr3miSvtTw9Im3a0nz/ui++W7ey/v/pfDw8RP5ijDQ8Wv7C+m6oQb7ivCdXbucrWlZJRcN29dDvWmVDgT27WRQ0KBp2J1zzLLMtew0bl7nHJmSJ2lLln1F4GsHiFx70sQB9hW6HZo5f2uR7j4wEgPjqfxD3+sDEPZdX3v3dmHDZV/2JiWevl66bpbu5SZHdG/FLg6uuPzEu0VjyqWDnWp+mD9xVJf4tdks3bv62gs/3d/X/+l9R9LnL3wz/Y+nf2Hwk78wk7q0Ugrn4CbFvmIiaezL8Qm+tc7V/IrvCiMUzbavB7tOduHoLdi3k0FBg4aw4wxP09bsOIO7doh31lLkyvRQWk5NHlOynUrQGWhf8SaHMmdm+rcfv3blyB7RN1zZvvZeqnyf1N3Tk7v7pW/c9uUKGU/dvBL0VhTpshiRVgSkkNG+dBC709BiCDQvs3onqLgWcWZ2Pin92e9/7mf6+37+tzLfDiPgZthXLLTEe8d/IN/tgWmkD8fnLzjj3cIRaF9m92TC3fveIN02eovsOyQ7Qfw30fsO+7YpKGhQG6KPjZ2oalovwj42Uunkomne5KEkU6PsqQ1jX67S6/m1dX73aG75TmGTZkNq7LtRyBvuVCqZ22rIlMztmcRoLJUv8mdjaXODvdWIkohWEWbdnTLyRnpumvzKAuaL/B2s/Dm7pBgddxYODMRrX3ZE37908Kf6tvV//OBb36/e1DZsXxn1ikN1vRv7Sm+yyxRWOJfcBciKVO0aV278ssbqd/c+TsPfakvO10DHj94i+yL27VBQ0KAKrIXyDGmxWyj5ilZjR5/8RpfzcrYMdVLKwcnV7OsMbqJ34HdFZBA7fGXxuD3qStxEu+8aSfTYTO+zGzLFNyL2vc+eHYobRf7Ru3korKV8L/dSPLe+zhPgMl5hxzAuA+LSnUz8mDVQqzJ++4oh2cxVu1+9+VA+FIholOvt9xVLBztjyjQuF7vuhBVnizPP4em80Vusvo1X2NCXhvuFTkXAvhGDggZe2FW/Z7SUnZ1rg4BAxL5+PYSLfRm8rd/m3GW4Xh8U/PH351NomLavmlau1bLv8nImNszfgb852be0mg/yqPNUcSW9f4+TZC6a+dVwWVa/fZ9svPf6L7LD+9jMN7+nRpxaKoRE7OvvFVOteFzubbhZa34lNbkvkTbUCVH6SJo6tpmAZ7P3Kjf+4rqBX7vIB9oFJt1eGb1FwL4Rg4IGrtFSavdtW3aGVbJjCPuKBDLlM5NXpELC2LdoJAbYX+2/sHx+dmDwF0d3Kf2+I1+IH9zD3/AcBc0spjzLI8iBKT6dSf69YKOQP5dKLtHn2urdWM8eO/wme6lw2+7p5Plqa3r47Vt87+TeT/b1f/q3zn/3L7Udv0XTWLIC3EXa/NWOd7U3ng9nH2F1VLOCMa8l5w5788kM4XL/rGXGQ+ZyNUDXIX6RkbHYIWcGdluiPUeYjLth9BYB+0YMCrpH6djrem5HJU6yO2hD2ld4i8W+R3NXjo6J9Gl1+9rOZsa9n0+Oi3UkrH5fFvXeMa/fZvrkL1Ojagdh1hE5nIonbw/M2llZmjJrdf3eyfCcLQ3GDkR8i0/sOnbte4VC4YPV/Pm5X/pY/87P/VPjgx/Jl/goF1ZXZcDKCu2mE7zyr1+h77AqlN50z5MuF+6865V0EJTSp0FwL1bxdBvRbaO3CNg3YlDQvULn9WkJXJ2+MiZzBnmKDlq+NtOdMPblo4u3z6Rem6C7LDIb7x+YMx4sV7Evn1i8K5E+Kef7llbfSR+ycq1F8q54nZCiElVLrMfF8F2xPAX39+7pyb08YpZfxBquxcdeUR47EMu+Xzl37VL2m5nM2exbRv67P9gMOeeX/txe0Kp2+/JUs36hSnGjuDnk+hti0ja7nGLfOnawzcPfIDp+9BYB+0YMCrpr8bQI7PK8E1sEHqiZ95y4imeAtYOKw8S+TLcTs9lVGvNMMuY9jvsyy5cSA/ZQKY192ctenMmur2e9q22YtxeSaWfTcjq2sVHrMBSY9V9+yd5dlQWLNyi3rORsy4X8JbuT1T/i2oOwr2vUVQ2Q8Prt/eY09rWPUA99/eDBZfRb6HoHNNBPIH5QmoVVbQ/ajqBDr3Rh34hBQXcPavdt12TD3NCkHRatFv0tdHX78rWuuALVRDQNdOJDpexuS799meqmeB6Yv8xt38KmCKYpiCR5xLPXkrtDx5HqkXjwrc7hoiH7KsIjyL6uOaOLyekBPr7M128taZ59Kf1gr9rNg/6RqqO0Og52VnZELw/sGzEo6M5GnNj+kSBdOiyTWWeXsn2CSjX7Duydfe08rW7hcZ6ns9ZjX+b704eFDzT23aDe3GGevl6/mRqdyJj32Z+77Rs8z9WZ++R5XC71HJy8bcS+YuqUsqCHJvatQrPsS8uMqIOixdWVdo+H7sG+RG630Vuwb8SgoDsSZlxxHc0QKeUu1a2KaJqVvYlc8DG9chvBgNjX0osc5mO8T+t1kNEVjfnsa2+F67VvLJGMT89dXV9J7xmYSBzaR926/M/JZOwfR8SLg6kQ+1amAfvy9Pjg2Gvnc3PWToJbZV8e6e7wrepVXEnPDHW7gG0e0ew++1xuE+TBgRaDgu5g7IyWuIhm53AXB77lwtXDo3srjgS28NhXjHJyQsxzfMbqmeM8uTp69NryudntqtH9mWcLx75yCDStDcme2CgYx8TaVeLPLfse1E3CUYnevnTlIa5gSis5Wrdk4Wb2ePT25UO7R5zpTCpyonAswWdhyce6CbWHyBP+kvu2HnmgoMWgoLuECqd0N8iYN9b7Ku8UWy7cvi4GCvHwTo19y6WVs4kTunw1F7PnbQPtS92lMvaldalOU28lqdexiG3fCklymzrs+6P7d//9t87+k8//bH9/37ZPjn7p9KUb314LubeCyPQqG+7KVSG3sbey9nsIBdmX5je7E+bWjcY8B9q3XDKzidHxSnIVy2nx0ezsmulyxQFoHUD4c3P//v3sGnprmZmZkUcDWgzs253YJzw7zz/d5O2GooZHvbGZoBFACkXTOE9rTzKdaBd/8PAwnzzgM3qgfUk5ln0lRTN7MuWyiNhxj/vMmWIUSN2xb13QItL+Kxi+ppUYZiUP23UbmkzmfCsV1h/7lky+xnU8XW05EQYr2zl2ZcCHg9W6bUMbYOelmM/Y2cf+254jrcAWAvv2BOrsIxoN3SnDoTcKy+nUCc/02YqUVzLjM6mrwZvkS4orb86/rjF64Gyfzfypl5NZ6ym+esZ88rR3Y//aeGymJ6ptZ9Qc2BXMkfjJKkfrnVrNbte1Jb+Zn3+x0oa+Sh+8DY+z51PpbAjvOigrhLQ7Wt2yR9jj8hUAuIF9exEh4zes+YhMxr/bkVOBAdgyWBTLYll2Egnd/nKnLF8D2gbYF2gWB4CMAfCA0wQ0F9gXeBGtDHJodfDkv6/e+eCHIcZA/VXp/T/90+8FvpKvrjU5ryaKy+tLh+cqJHsrUC6tLMzOJC+4l2IGVfGkiKBb0FxgX1AF1tagQ0uBTzveE7AgIg1H8g5cCrz9nd/LP9L6V8xoknvXW9B4rqoTYUv3TI2haaq0f4ZSuZBf0vfs9iYdOzwCdCSwL6gNIeOqcyc6E9quxzvyyH2Tw4OVtaIU3OOileW3dE8FzskRGw/4BU+7HCr7O7GjFQuGKPDX6LbN54fteZxW2uKDik85S1X3GCyEhW7BVgH7gvphjReTMWutulTGBF9kQ509XImm2JcmFo+nlt/PL9mmpBs3qDLLVlwHiE0SbbzrfLn3qKiT8uPC+3965Y8zJ1Opk+k/vvL2+4UfPvnxX/3Fn73zn/Sxe/tSocZCtyBiYF/QNLozkqjZvnaI6doMkZZudj0VYF++HJUm8A2J1740fdm1XjRfJyt8vPuk9J0/Tuz9hfFE5sp/MNc+KBTW/8t3bmST//C3vhR/eezlb36v3YPmnrhABJ0J7AtaRYVeNNYmyhe1P7Xa92O/euSPLsjwlN14hNq/c+zg6//SeoTfmH0/80vH/t1fyL9ToG0KdVsoegiYl6y1r0vz9mpcNMG30lCsJ5sfXP3q2M98+jcXvlP6K/mY5Ecf/Mk/+aWPhVnSZAsQnSOekQrQLWg3YF8QEUzGrAXsvBGkoe375PHDgvlnf/red1mE6PDnV458atvQb2be/Z7y8AffeeurB1/7kz8XaWgFuVSWFfsG90Pz3fh1myBx+w6Oxc9YrzzHF/9y7YTPH6GInJ7qG54+8bZ+uY/H75/9zZ/v/9hE5u4P5SMqTz648ju/9fp7bTGMWqvbHh4YCDoD2BdsDWJek1bG8hVtQoB9+fqXk8cU+YlIcecvjE9MT045t327d/YNeh8Ut9/8au677ssOGlfVHzrU1lBT7FuJv/zg0u98um/bT+2/9H193+6Tje/8i/l/WzVGbwl25RG6ZZUHugUdB+wL2gLWnm5l+KJZZNG68ShTjSbFjTputdHnjzf/+3+++8FjGU4++e7ZvR8/+Nb3bdltfv/GuTdv3HusUdrDfHLv2LHjCZc+g2go86wMnA7gyXe/+fkd7Dpg4vx3AwdWPdl4/KP6eqdrpsK1Wif1YgCgAPuCdoS1qloZb0HXXS39vgQJz57Uq7397O+89cFfypdblNezL88srDxcVvQZvDO/zDy7Bzwz+NGq3cZ0ML7Mc9Bwa5sn37/02x9nh7r71ZshtnRsAWLQAHQLuhjYF7Q7WzxstT77Bu5cFDDXqHwvN0dbFnqD1xrhR6vuPlTKn4i795wgo1db94pmPTH7RjeuqsIYvQ4eMA9AMLAv6DAqyLglzXR99v34+Jf+aTKV9N8OT3/2Exr72mtUhbZvuXDnXV/mmaY8CWXyjYacWNl1EwOvKk06isC+7HeEbkEvA/uCzqblMVN99v3pg2eX8zoup8Z/ulLi12Nffle3dpXoeB6dpx3+bWiJyoE5o2g/WC7lTx/O3lNeJFadDB7qTLQi8xz1ZRMA7Q3sC7qKIBnX31+49fbVfrprIS0L2q7f++YP88mDqbyUaHk9OzugXybThRx19TP/+9n/XPmFFdjiLgMA2hvYF3QzTRgrG03m2aYh+9434ru8WykwSsup2P7MSpHPkuLLby2sVN9ZQc44+uSvZsy/DBj1/OT7//HP/twzeIwVrH+4HHQLgB/YF/QQWhlXmddUn31rHXVl04h9+fYME7qeWr7JIG0OoZ0iFYBYbaNv5Lez39V8lSc/+M430m9977FWt1WKFAAA+4JeJpQ56rMvH7IUfGuNfflQqVja1IS15ZKZpQnKVbp7PTwpffsNvtzVnley733fmsHMr2Cuv/W7L//m6Oc+/3/CShcA1AvsC4DElvEv//L/+tT/4+ndo//rl//xP8sd2/s3+z5Vs33DxL5P/sd//Y//teRJ62rs61/rQ466ctv3sZne718gulzI5+QGD5cNY4EcTMO4Qm62v/nhlT88PP63PvnxT3325/+Xv/eRZ//Gp392+98d/bWjp/6IFVedXekAANgXAC2PHn14ZeHVvc9/gqLVgb/xf/+/Vhox9Jdr7/wr24u0nMXAVGrRfkS9ibHKfPmL88nf/HTfz/9W5tsuAdcd+xaNwy+pOyPxeb18YyX+WcoW+nxHfWuhLnHz7dgvRq658/NfWfiD1y9ms//+z1a+X9JfVgAAagL2BSCYopHYPjW/XPg/lOG7n/70p5mTmJnYXWte048+uPFHv3cy/U2va8Pc/uT9h8oOQky3w4oOuSwva1aU5NN5ryiPb6wvpS+us7s0zTc9n+KTlLR/KLD3b+BiDhoobn07AEDzgX0BqJlO19UjrHQBwFYD+wLQKKqMWVjMZFbzvKYWU2HqLXQLwJYA+wLQZJowybhhKugWU28BaAdgXwBai5CxPa+pdVN02Bv6J1BBtwC0J7AvAJGidWR9Mm7iWwEAIgb2BWArEQa188PMoBXyw3ZOW+i2dWE0AKDVwL4AtAvaztpXX311//794i77b/RdyACAVgD7AtCmCBmLMJfxhS98QT5RJ+XS6mr4ZSYBAC0F9gWgrfna174m7Ms0LB+qE9p/kJbZci/3wW6Lmfh49W0HAQDNA/YFoK1psn379ucK/qUiaW1q35KTAIDWAfsC0NY0z74/3swnd1awb4WdlwAAzQb2BaCtabZ9aYMjb+aZdoaAfQGIENgXgLYGsS8AXQnsC0BbA/sC0JXAvgC0NbAvAF0J7AtAW9M8+4oxz+j3BaAtgH0BaGuabd+g2HfvdPpOibbzv7iUx8RfAFoN7AtAW9OYfYumsWQFuIuZubnUoh3vam9nEqOD/X2DY/GsWYKBAWghsC8AbU2DsW+5sLoqPbpRyN90nLqZT23ftjOZ9wfCAIAIgH0BaGual3m+b8RHnAWtYF8AthTYF4C2pmn2La9kYoP9sbQpol+Nfcsl84ZhYrFJAKIA9gWgrWmWfctmek/fSMK4L++TfYcmkxfsTt/F5PTAtv6BqfllDLoCoOXAvgC0NU2y72MzvY8Pp7I3MkLmGYAtBfYFoK1pjn2LRmJgcOy187k5aydB2BeALQX2BaCtaYZ9KfAdOJBb3/hxaSUXj/WPxhduZo/DvgBsHbAvAO3IG2+8sYf41Kc+Jez70Y9+VDySSCQePXokXxeC8np2diB22FiXvbnlQv7N+Fjftv6+bUOTCyuY1wvAVgD7AtCO3Lhx46mnnhLe9XD79m35ojCUllOj4456LfiaVmKYFWnYcxuaTOaw4BUArQT2BaBNef7556VvLZ5++mkWE8unQ1AuXD0SP3mt8iSikmnYw57l7ToWugKg1cC+ALQp165de+aZZ6R4iUan/AIA2gbYF4A25dGjR88995wU70/8BAuFa+ruBQC0M7AvAO3LG2+8Id37Ez+xtrYmHwUAdD6wLwDtCwt2mXefffbZpaUl+RAAoCuAfUFbIMI7AOpA1iEAOgpUXNAWoA0NgoW/6O6tAGoO6FBQcUFbgDYU1AdqDuhQUHFBW4A2FNQHag7oUFBxQVuANhTUB2oO6FBQcUFbgDYU1AdqDuhQUHFBWxBdG1rITg9MpRY9ayvat8VMfHwsnq241GLRNJYuepdBvm/EJxJpo+Y1GkvmdfWtNvOp8XhmSbvI8kbBvFeS/1Yor2Ri4yE/ejO/cCR9KV/YkPdtCtnZ0Gs7l830i6FezArqklF5ncuGgX1Bh4KKC9qCSO3btzuV11iMKOWTu/tHjxp+P9lw2w32j87lXF4Rf+h50GajkL/sMz27nUtNDvf3KRsQ/XgtNzk8llzWHV+5ZGYTo4NDk/Ni6eZy4c67hQ3mwj19w9PpO64/KRfy103/m2zmkzvZi0+87TUnL5bBapcdgnLRmBvSvkm58O5t9TH2XXYMTZ66VaEwGwb2BR0KKi5oC9rLvpPZgryrgWw3kjDuy/uS6n8YDmaskels4LJW5cLVw6ODfF/e0vL83NJ6+WE+Od7vi+YvJKf0ggz6+nyz/R0VPleBRfkj/aPHcsYl9RMpbRBjVxKJ7Ir17ty+rd5CGPYFHQoqLmgLorXv8HTynNsc9o2C0UoSpZ3qY2nTGyK67ctCz0u+zCwz3LCqyTOJ0R1jc1fdL6tiXwqjrxj5G5l40ig8LuXnx8S2+S6YkvfqA9ka7Fs0r7siWUnRSAwM7kmvyGc8dxml1bxMAMC+AASCigvago6Jfblshmez98reZDJpezSe4f8WUaAvkcsNp360VrTKg6V7pi5nWy68PT9zMLNS5Hv3xvbzf8iIXOSfy6X8yWmv1C3C2pe9yfyYJhdNaWfF9/S5+zLmY3GXw4to29BMdr0M+wIQCCouaAs6JPbdWM8eGNIEvowQmedg+27mk5+ZTF7gB0ABcfyMVPjAjJCrDHnNNdNIJ0ZHuP5LdxaSaatLlSLyPuuy4PYdvXoZ4ewr8ts8oX3V03nM085DccPq3N4sZPdbmYByyXyPq9p5K9gXgEBQcUFbEK193bGaCybRmcSby3p7sViTOcnVtWkT0r6q+LloRc6WD4baLjRlK5nEJh8UFM3s3FifCCvlQ4LyenaWReSLxoWXDswHHLvEa18rvazat3QnMzmsHy1Fca2leQbJ2LluGOQD1tbehn0BqAoqLmgL2q4NZQbiHauqfljge3DP5MSYPnHtt2/RNG54M8/Dah+tM3MpnH2F/LwDvihOtfqP+fXByHTyiqbHV+AO/WlwFqWXHy5LZXL1jgQMfhYRNrPv/lyBDosfj3Upw/9NHcCIfQEIASouaAta24aWTEOGmyFvYiLQNnUGEY8vY/N5c5HHjstmfkn3J7Lfl99IbNuqzrcpF1ZXS0xYYewrpvo4gXu5kL+Yjo+NxhfUAV4UufIAPb2YM3yTjipnntNLmcl9usieYH7dfuCbi0d3SvvyPPxOKwtNc5no2GBfAEKAigvagmjaUDKEFbcxglRkd2HalO/lXorzsFX+SbG0uurO8BZXzQ8D4k0GE+eRPbw317a1uAlnz79jHA9hXxF6zmSMq+wP55OnLmSXdGtZsCMxV0SOejJ5wbNwRyX7Vr5WeJhPHkzlHzplyOc97xiLn6W1O5Sh4LAvACFAxQVtQYT2paBQyI8Fjn27EuklRYfixrswFRU9zJ84Kkc/BQqbMs+Bq23QR6sq3byd+cqZi3nzVnI389Nj59kK9mVsFG7fzi8eCh41Jr4UDX7WDpmuHPvyzw2g+HbmTb6gh2XfH/I8fPLGSvbA0Oh8vvh+JjYoR2PBvgCEABUXtAVbHfveN+aOG0UZJNIgJv96GkRl+waPupL2fSjnCPGJOnzezgP2V9K+csUM95hnr30ZXiuLFa/kHUbgERJ129dClqH5Nq31Ibp7dx9PJ515R7AvACFAxQVtwdbFvkJF5aJx/LDUbdB6GkRY+3qXqpD23eRvPhS/umYceZGPduZ/FRz7HvCtxcHw2pe+lLKsVTT2ta9g+De9mntt3Ckx2BeAEKDigrZgq2NfiuHGyR88mBtP5R/SK3w4f1IumdedfK971JUcS6y4k+x7KHNFZLnZi/d9OT4xNLB3emLY7SfbvkF47Et31TlUTbSvbrFon319qQLYF4AQoOKCtmDr7ctHFU3MZm/fSo77J9Q6BLotXOaZfzL5Ur5Sxr6Knyz7Bix0Jf/csS9F6gNzdtq8dvuW+QiyDZ19mUdf8n4jn31pyq9aYvwjxOUL7AtAIKi4oC2I0L5W5pmnnbf1i4HB2Syfd8uj3m1VNjiKzL7llcy4XEXSjdu+tOGSsvhULfblE7HOJCbnMoZZ0sa+7MHPeuXptu9GwTg6FlhisC8AgaDigragxW2oXJNZzMGlibyUInb6fRnl0srCNC3kpNkayKYJ9lVfGWxf34rKFo/NN4+lsmIeEa182Td+PHvloj21NzBo5sjloJNnaRlLZSFJrX35l1Vy2oRiXyqxWIWLFdgXgEBQcUFb0No2tHwvN6NbgMJRKY/h9vApRo+Fg1lArN89vgb7MuUb9j72oexbLuSXlDHPc1Nju9xxrQp78Zvs6kEseyk6ocVEKVr3Ub8/v3AnXWF41sPi9nV1VFtq9260YNl3gxXU7EzltURgXwACQcUFbUGr21DvtByBUOmyeevEgVkl3i0Xlhf4JkU6B/M/GUlkb/gWz/KudSUz29YMYMW+tAvCphDtYH/f4J4z578eY/+wIvLsdct2AaOvRcaYryjJQmDvl2JSzskQXzd2jC8bol0LuriSnpGJAfU2MOV5Mdl3IpU+mQpaDZtfQ1Bp8Hdwbz7YAmBf0KGg4oK2YGva0EJ2dmJqemb+mmaJDBa53vSvdbyZn39Rru5UE+WicUwVvIB56iJ37WbJvKl9z3Lh9nV5bCJ5Lpa4ol5qejQIcQHRiriTSkC7CrSH4D2GmwrsCzoUVFzQFqANBfWBmgM6FFRc0BagDQX1gZoDOhRUXNAWoA0F9YGaAzoUVFzQFqANBfWBmgM6FFRc0BagDQX1gZoDOhRUXNAWoA0F9YGaAzoUVFzQFqANBfWBmgM6FFRc0BawNhSA+pB1CICOAhUXgLbma1/7mnDM1NSUfAgA0PnAvgC0NbAvAF0J7AtAWwP7AtCVwL4AtDWwLwBdCewLQFsD+wLQlcC+ALQjf/AHf8B0y/i5n/s5Yd9PfvKT4pEvfvGLjx49kq8DAHQmsC8A7ci1a9eeeuop4V0P7Cn5IgBAxwL7AtCmfPzjH5e+tXjmmWe++tWvyqcBAJ0M7AtAm/LGG29I61q88MILyDkD0B3AvgC0KUy0H/3oR6V4f+In2L/X1tbkcwCADgf2BaB9efXVV4V6n3766Zs3b8pHAQCdD+wLQPvy4MEDod7XX39dPgQA6ApgX9DTiMgSNI4sUABAOHDOgJ6m/bWxtrbW/iOtYF8AagXnDOhpoI2mgGIEoFZwzoCeBtpoCihGAGoF5wzoaaCNpoBiBKBWcM6AngbaaAooRgBqBecM6GmgjaaAYgSgVnDOgJ4G2mgKKEYAagXnDOhpoI2mgGIEoFZwzoCeJkptlAv5t/KFsrynUsonZxJpwyzpngxE/NWlfGFDPrB1wL4A1ArOGdDTRKiNx2Z6X39f7LCx7nMs8+ju/tG5nFmUD4SC/mpgan5Za/RIgX0BqBWcM6CniU4b5ZVMbHAobugESx6dzBbk3ZDQX21P5jflfYeSaWSv1xhJNwTsC0Ct4JwBPU1k2iib6T0DB3Lr2izxZiG7X7FvuWTetPPJ5UL+Yjab09zOpSaHWeybWtQ93rdtaHJhJSoBw74A1ArOGdDTRKWNh/nk3rHkckne9Th1MROP9Y/GM+LuYnJ6YFv/6FGjSoducOwbObAvALWCcwb0NNFoo7yenY3N50UkWlpOjY5Mn3hb6a31xL4h0dm3ZF7XD+xqLbAvALWCcwb0NJFogwW+UwnjPv2bxl4NzGRW1P7fMPblrh2aTF5wImZ/5pli6L7h2ey9iAUM+wJQKzhnQE/Tem0UzezcnpmsGOjMg+ABvx1d9i0Xbl/XDH72R7r+R+h9+vbnClEno2FfAGoF5wzoaVqujfK93Mwwi0enk+eoQ3fQ6v3dKOQvu2JW2e97JjE66AuOGbAvAF0FzhnQ00SgjXJhdZX3+G6sZw/srH8cMuwLQFeBcwb0NFFpo1xaWZi2B17VA7nW1csb1O8L+wLQAeCcAT1NRNooLadiB53JvuVCfum6WfiuqZ1TVLqne9wd6RaNxMC2/r5t/dsPpl47br0zxb6jjTi+TmBfAGoF5wzoaVqvjY1C/mxidMdY/Az16Y7wDuDsZb6YxmY+tT2WSC9akau4UUSrmexbyqeTGcOkPuOH+eR4/8De6Ylh5uNb76dftEZ1bRWwLwC1gnMG9DQRaIOvctU3yO0r3WnB7btjOrsm70rWcpM7AhakFPD+4yE+rejOLRkNMxlPTKfvuN48WmBfAGoF5wzoaSLRRnHV/FATmgbbd6c6lMoF9R8PDJNrlVy0WMFj6wQM+wJQKzhnQE+zRdoomsaV/NrbNdrXUq9cJ8vVE0wziVmEfXZLNhyEfQGoFZwzoKeJUBvMuEu8W3fmQGpxyTCLNca+G4XlU9MDsUR2xQpwPTOOyiUzy+cK87nF5/n7RwjsC0Ct4JwBPU3LtVFeN+ZifHAyLbhxUV2EmduX+oNdo674ahs++9KCWZPz11xO9diXUy68PU8bHPXznuZsZJsMwr4A1ArOGdDTtF4bG+vZY4fThkaE4WLfcmF5YW4ulfVvnqCxL8FUfexwtEs9w74A1ArOGdDTbKU2isbhGU84y+AJaiVELprXbwdsWsTsO5PQej1yYF8AagXnDOhpoI2mgGIEoFZwzoCeBtpoCihGAGoF5wzoaaCNpoBiBKBWcM6AngbaaAooRgBqBecM6GmgjaaAYgSgVnDOgJ6GaQM0BVmgAIBw4JwBAAAAogb2BQAAAKIG9gUAAACiBvYFAAAAogb2BQAAAKIG9gUAAACiBvYFAAAAogb2BQAAAKLlxz/+/wNEsinuEAjTlQAAAABJRU5ErkJggg==" style="width:60%;height:60%;" />

  • 构建函数用于计算NPV
NPV = function(t,K)
{
A=0.2 #收益分配比例
NPV=-100*K #企业初始投资额,项目总投资100亿
CI=6 #第一年现金流入6亿
CO=0.3 #第一年现金流出0.3亿
for (i in 2:t)
{
increase_rate_of_revenue = 1.0+runif(1,0.13,0.15)
maintenance_cost=0.05+rnorm(1, mean = 0, sd = 0.03)
discount_rate = 0.12+rnorm(1, mean = 0, sd = 0.03) #折现率
#正态分布的标准差正等于正态分布中的参数σ,方差的平方根称为标准差
r=discount_rate
CI[i]=CI[i-1]*increase_rate_of_revenue #现金流入
CO[i]=(CI[i-1]-CO[i-1])*maintenance_cost #现金流出
r=discount_rate  #折现率

#经济评价
NPV[i]= (CI[i]-CO[i])*(1-A)/(1+r)^i

}

return(NPV)

}

经济意义

  • NPV>0表示项目实施后,除保证可实现预定的收益率外,尚可获得更高的收益。
  • NPV<0表示项目实施后,未能达到预定的收益率水平,而不能确定项目已亏损。
  • NPV=0表示项目实施后的投资收益率正好达到预期,而不是投资项目盈亏平衡。

  • 设定初始值

#初始状态
money = 100 #投资额
t = 25 #项目年限
s = 0.2 #利益分配制度
revenue = 6 #第一年收益
lowest_return_rate = 0.12 #最低投资回报率
K=0.3 #初始融资结构
A=s
  • 当融资结构K=0.3时,分别计算t=17、25时,NPV、IRR值
library(jrvFinance)
qq=0
for(i in 2:25)
{
qq[i]=sum(NPV(i,0.3))
} plot(qq[-1],type="l",lwd=3,xlab="时间",ylab="净现值")

abline(h = 0, col = "gray60",lwd="2")

aaarticlea/png;base64,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" title alt width="672" />

NPV(17,0.3)
##  [1] -30.000000   4.128286   4.027660   4.878240   3.915962   4.246294
## [7] 6.144814 5.421901 6.696659 4.267641 7.026589 7.228010
## [13] 2.205055 4.154711 7.400232 5.827682 4.013331
irr(NPV(17,0.3))
## [1] 0.1332326
NPV(25,0.3)
##  [1] -30.000000   4.171977   4.425945   5.108682   3.511149   3.422270
## [7] 4.935180 4.392022 4.666022 3.190476 5.297004 5.932260
## [13] 4.764075 5.219582 7.904682 7.169804 6.782537 6.824819
## [19] 5.947960 7.121221 3.571937 5.332971 4.920085 9.996906
## [25] 17.261441
irr(NPV(25,0.3))
## [1] 0.1552985

模拟计算

画图

#风险评价
p=pp=0
for(i in seq(0.3,0.5,0.01)){
K=i
a=0
for (i in 1:1000){
if(irr(NPV(25,K))&gt;0.12)a=a+1   #企业投资者希望投资的年化收益率大于0.12

}

px=a/1000

p=c(K,px)

pp=rbind(pp,p)

}

plot( pp[-1,],type = 'b',col = 'red',lwd="2",

xlab=c("融资结构K"),

ylab=c("概率P"),

main=c("蒙特卡洛1000次模拟")

)

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" 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融资结构区间为[0.3,0.5],模拟次数为1000次,融资比例的调整间隔为0.01,运行程序可得,融资结构K与获得最低IRR的概率P的关系如上图所示。即企业投资者希望投资项目的年化收益率大于12%概率达到90%以上时,其融资结构K不能大于0.35。优化融资结构本质上就是确定最佳的K,通过仿真模型优化PPP项目融资结构,有利于决策者找到满意的融资结构。