{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pixiedust database opened successfully\n" ] }, { "data": { "text/html": [ "\n", "
$a_{P}^{I} = a_{O}^{I} + (\\dot{\\omega}_{b} \\times r_{OP}^{b}) + a_{OP}^{b} + (2\\omega _{b} \\times v_{OP}^{b}) + \\omega_{b} \\times (\\omega _{b} \\times r_{OP}^{b}) - g$
\n", "$a_{P}^{I}$ is the inertial acceleration of P
\n", "$a_{O}^{I}$ is the inertial acceleration of O
\n", "$\\omega _{b}$ is the angular velocity of the body
\n", "$\\dot{\\omega}_{b}$ is the angular acceleration of the body
\n", "$r_{OP}^{b}$ is the vector from point O to point P
\n", "$a_{OP}^{b}$ is the acceleration of point P relative to point O
\n", "$v_{OP}^{b}$ is the velocity of point P relative to point O
\n", "$g$ is the gravitational acceleration
\n", "$\\times$ indicates cross product of 2 vectors
\n", " \n", "Assuming points O and P do not move within the body, $a_{OP}^{b}$ = 0 and $v_{OP}^{b}$ = 0. The previous equation is then reduced to\n", "$a_{P}^{I} = a_{O}^{I} + (\\dot{\\omega}_{b} \\times r_{OP}^{b}) + \\omega_{b} \\times (\\omega _{b} \\times r_{OP}^{b}) - g$
\n", "$a_{P}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP}^{b} - g$
\n", " \n", "$H_1 = \\begin{bmatrix}\n", "0 & -\\dot{\\omega}_z & \\dot{\\omega}_y \\\\ \n", "\\dot{\\omega}_z & 0& -\\dot{\\omega}_x\\\\ \n", " - \\dot{\\omega}_y& \\dot{\\omega}_x & 0\n", "\\end{bmatrix}$
\n", "\n", "$H_2 = \\begin{bmatrix}\n", "-(\\omega_{y}^2 + \\omega_{z}^2) & \\omega_x \\omega_y & \\omega_x \\omega_z \\\\ \n", "\\omega_x \\omega_y & -(\\omega_{x}^2 + \\omega_{z}^2) & \\omega_y \\omega_z \\\\ \n", "\\omega_x \\omega_z & \\omega_y \\omega_z & -(\\omega_{x}^2 + \\omega_{y}^2) \n", "\\end{bmatrix}$
\n", "\n", "Since points 1,2,3,4 and 5 are all on the same body, $H_1$ and $H_2$ are common to all of them \n", "$a_{P1}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP1}^{b} - g$
\n", "$a_{P2}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP2}^{b} - g$
\n", "$a_{P3}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP3}^{b} - g$
\n", "$a_{P4}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP4}^{b} - g$
\n", "$a_{P5}^{I} = a_{O}^{I} + (H_{1}+H_{2})r_{OP5}^{b} - g$
\n", "\n", "Subtracting $a_{P2}^{I}$, $a_{P3}^{I}$, $a_{P4}^{I}$ from $a_{P1}^{I}$ results in the following equations\n", "$a_{P1}^{I} - a_{P2}^{I} = (H_{1}+H_{2})(r_{OP1}^{b} - r_{OP2}^{b})$
\n", "$a_{P1}^{I} - a_{P3}^{I} = (H_{1}+H_{2})(r_{OP1}^{b} - r_{OP3}^{b})$
\n", "$a_{P1}^{I} - a_{P4}^{I} = (H_{1}+H_{2})(r_{OP1}^{b} - r_{OP4}^{b})$
\n", "\n", "$(H_{1}+H_{2})$ can be solved using the matrix equation below\n", "\n", "$\\begin{bmatrix}\n", "AccX_1 - AccX_2 & AccX_1 - AccX_3 & AccX_1 - AccX_4\\\\ \n", "AccY_1 - AccY_2 & AccY_1 - AccY_3 & AccY_1 - AccY_4\\\\ \n", "AccZ_1 - AccZ_2 & AccZ_1 - AccZ_3 & AccZ_1 - AccZ_4\n", "\\end{bmatrix} =[H_{1} +H_{2}] \\begin{bmatrix}\n", "PosX_1 - PosX_2 & PosX_1 - PosX_3 & PosX_1 - PosX_4\\\\ \n", "PosY_1 - PosY_2 & PosY_1 - PosY_3 & PosY_1 - PosY_4\\\\ \n", "PosZ_1 - PosZ_2 & PosZ_1 - PosZ_3 & PosZ_1 - PosZ_4\n", "\\end{bmatrix}$\n", "\n", "$[Acc_{1-n}] = [H_{1} +H_{2}][Pos_{1-n}]$
\n", "$[H_{1} +H_{2}] = [Acc_{1-n}][Pos_{1-n}]^{-1}$
\n", "$H\\_mat = [R\\_Acc\\_mat] [R\\_Pos\\_mat]^{-1}$
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculate relative accelerations and positions using filtered data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$[Acc_{1-n}]$ or $[R\\_Acc\\_mat]$ are the relative accelerations
\n", "$[Pos_{1-n}]^{-1}$ or $[R\\_Pos\\_mat]^{-1}$ are the relative positions
" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# CALCULATATE POSITIONS OF ALL SENSORS RELATIVE TO P1\n", "for i in range (1,6):\n", " globals()[\"p\"+str(i)]['Rel_Pos_X'] = p1.f_Pos_X - globals()[\"p\"+str(i)].f_Pos_X \n", " globals()[\"p\"+str(i)]['Rel_Pos_Y'] = p1.f_Pos_Y - globals()[\"p\"+str(i)].f_Pos_Y \n", " globals()[\"p\"+str(i)]['Rel_Pos_Z'] = p1.f_Pos_Z - globals()[\"p\"+str(i)].f_Pos_Z\n", " \n", "for i in range (1,6):\n", " globals()[\"p\"+str(i)]['Rel_Acc_X'] = p1.f_Acc_X - globals()[\"p\"+str(i)].f_Acc_X \n", " globals()[\"p\"+str(i)]['Rel_Acc_Y'] = p1.f_Acc_Y - globals()[\"p\"+str(i)].f_Acc_Y \n", " globals()[\"p\"+str(i)]['Rel_Acc_Z'] = p1.f_Acc_Z - globals()[\"p\"+str(i)].f_Acc_Z" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Relative accelerations for selected time range (35-65 seconds)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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QeHPbKSSLKfbG9s/5WD2pPmL5OKe0noyqqOyKvjbnx4RRGV7nERneUnfbamV5\nTdMi16+Qd6dxOFVc0TAWFtEqr0E10uMDXkfQDnjLgeqcj1HK8MacOsHS2mctYDe08+QtUjXYcilz\nRMDrUB0EnP6aBNeGafC7Aw8A8FDn49MKDPMHD4Bl4Tl+PYqi4Fm7Dj06XFlTPZHhXJRnercCsKXv\neWL56mTgAbKlgHeybYmgthleyzLQC3HipoWj4MLKaCxrD1XiOI/DU/UO5fOpKiN/z3vew6ZNm9i+\nfTsAGzZs4Dvf+Q5XXnklhw8frsYhhBCLVLFgkIznaGyxP1yb2+z/Dw3MLuOUTNgX9eUmVYGgm3Qy\nL9UkYtEZWcM7eYYXa/plc9YkAa9a2Yt3fiohLMuq7DEsFpbInb9g36f+kaF7767cljcKHEx0sirY\nwVntbwHs5kxzdbi03vX1TSewKtDBoURXVfZgTRXsz47RTatgJINYrYA3Hs2AqZANRmlZFsBKayim\nWvWmS5UMr7+GGd5S2fSws1CZKKhkeAtmZRKhmtKl9xvfqG3Swu5QVYPEsp50P6nSv8G0TA7Ep449\nCr12x233SrsJmWeNvcds7sCBSe+zffAVADpCy7GweGVo7q+TspEM7/iGnu7SZ0Shhp2a9UIcMOkp\nZFhlrgOgrT109DstIlUJeC+77DIuv/xyfKM6m735zW/mN7/5DRdddFE1DiGEWKSiQ/aHUFOLr/R/\n++J7eHBuGd5AyA54/UE3hmGRy8pm9mJxMY/apXk2Gd5ySfORGd75bVwV636Aru3/Trzv8Xk5npie\n4tAQsQftLNjwH/4bM2efL/tjBzEsgxMb17M2dBwKCocTXXM+XlfKDnhXBTs4LrQSwzLoy/TP+XHL\n2chAaSKnLFzlgHdowH69qGGDlrYgWAqeTJDhUY29ioMR8kc0a50pI5VC9XjGdGMeWcNbpQxvqWlV\nwmXhK70fqJWSZotUofrvDZliBo/mHtP9OewOkTcKleCuWg7EDwJwSuvJAOyNTx60lhX6egFwLW8H\nwLPWDvJyhya/7/6YfZy/eeNf2sepQiVEWbY0YenRJm5aBUw5YZRK5uk+FJ1VAmB0w6oV1ioAmlsD\nR7vLolK1RQhnnXUWlmXxwAMPoCgK5513HitWrODzn/98tQ6x5D366MPcfPO3aWuzN+T+n//zf3Pq\nqW+u86iEmJtoKbAtZ3jL626T8dllmzIpO0gIBO0PBX/A/n86mcfrW7zrS8SxxzpaSbNiXyTaa3in\nZ6RE+ogU8YP/AAAgAElEQVQMb6lrc7mpVS2Zeo7k4HMAJPqfItT2NpQqb3ciZiez82WwLNRAADOV\nIr19G8EzzuRA4hAAxzesweNw0+prpivVO+ctUDqT3aiKSrt/OSv89nVNb6qf1cG5beuTKnUUPjLg\nrWR4q9QUKTJgP463Qa1M2LpzfoZLGd7cgf10fvXLWLrOsr+/lPDbz5nVccx0Ci0QHHObI1wqaa5W\n06pSpjjrUfGU1oiWS5q9ebOSHa2mdDGDz+lD1w22PHIAzaESbrX/XfF8ojKOauguNRM7a8XpbIu8\nTF966omVQq99H9fy5QC4O+zzstA9+V7Lh5Jd+B0+Tu94E27NxeHk3CeGynKVkuaJtyUCjtqluZDX\n+dV/biWbKfLWd67j1LeuntHxKwGvadGeC5EgS2NLfbZoqoWqZHij0Si33HIL73//+3n00Uc5/vjj\nq/Gwx5zdu1/lk5/8FDfddAs33XSLBLtiSYiWtgxqLHVU9gfdqJpCPDq7Gd5sxr6o9/jsGc9AyL64\nl3W8YrEpZ3gnLGmeRYZ30pLmUkZnPkqas4m9lTJsy8yTSx2s+THF9GR27wKg9SN2o53Ma3Y5ZnfK\nvvBfGbAzXasCHWT17JxKdy3LoifVT5uvFafmHAl4pxGITGWyDG+11/BG+u1gM9DsJBi2J42ceV/l\neRm48xdYuv36jPzql5jFmZebWpaFkUyiBsZm0rRguaS5Ov8WI50GtxtDUyprREeXNNci4M3oGfwO\nL9uf62L71i5efOYwWpe9RVG11/EOpO2Gayc2rseluehLD0x5n0JfL46mJlRPaQIgHEb1+cn3Trz1\nVE7PMZgdYlWwA1VRWe5fxkBmsGrdmo/WtMo5jQzvq9t6yWbsn+98sWfGWd7yHrwJE/SkiqYphBqq\nNylRb1UJeN/5znfy/PPP84tf/IIvfelLrF27thoPu6Tdf/99fPazV3HFFZu58MILeeSRB9m9exe/\n+929fPKTH+fGG29A16d/oSPEQlUuQQ412BcMiqIQCntIxGZ38V1+Q/d47Q8Af3AkwyvEYlLJ8E7Z\npXl6yk2rlCMD3nnM8BYy9sViaNnb7e/T1cuAiLnJd3WiuD0Ez3writNJbq/dRKon1YvP4aXBbZfR\nrgzagW9XavJM11TSeoackaPV2wzACr+dRatKSXMhhYKCzzl2rWO11/AmEzkMVScU8Fd6RrhKAW+h\nt4fc3tfwveFkGt/zPjtjvm3qLW2OZBUKWLo+pmEVgOpyoXo81duWKJ0Cn/1v8Do8WJZF0nBhouDN\nU/WSZt3UyRsFfA4fr27rrdyefs0JFsSq3Km5PxOh0d2AS3Ox3NfKQHYQ8yhN+sxiAT06jLNUUQn2\ntYmrvZ3iwABmcXxgOZAZBGCZvxWAFf5lGJbBQHawKv+GrHG0plXlgHfySZWDe4cAWLmmkWQ8x/Dg\nxH9TI5Mh/cpOjMzYZWXF0v7ILnczsaEsDU0+VHXxNqk6UlVKmu+66y5uv/12Lr74Ys477zwuueQS\n2tvbq/HQ8yLa/QCZ2CtVfUxfw+tp7Dj/qL+TzWa54Yab0bQiF130YS666K945zvPpb29g69//cvc\nc8+v+fCHL67quISYb8l4DkUBf3Dkoj7U6CU2nCWfK+L2zGz7iGymgNvjqGxp5A/Yj5tOzr6Zg723\nb45g2COd5cW8OWrTqlmv4VVHGl6VaKUmKPOR4S1kegCFQPOpJPqfoJDtnfI+ovYsXafQ14vnuONQ\nnS5c7R0UurvIFbJEskOsb1hbee9b7msDIJKZ/YX8UNa+eG72NAIQcPkJOP30lzJxc5EqZvA7feM6\nxpabWJWbWs1VJlmk6MoRdgcJhu0gxFsMEM13kt6xA4DgGWfibu8g+vv7Se/YTvD0t8zoGBM1rCrT\nQuFKs6m5MlJpaA4DFl7Nw9YnDrL1yU6aV5xLsPhM1ZtWZUrvNd5CiEQsx7oTW1A1lb2vDODJhKq6\nNVHBKBIvJDixcT0Azd5mDie7SRZShN0TN10yYvZEgrOxaczt7vYOcntfo9jfh3vlqjE/K2/b1eYb\nCXjBrloofz0XOb28hneCDK9qXydNVtJcLBj0dcVpXR5g3YmtdB2MMtCTHLcGN9/VSdc3v4aRTKKF\nG1h19edwtdmv93xukLxl0eRYSa5oEm5aOuXMUKUM77p167j22mv59a9/TUdHB88//3w1HhaAbdu2\nsWnTJgAOHTrE3/zN33DJJZdw/fXXY5qLe4uFjRtPQ1VVWlpaCAZDXHDB++noWImiKJx99jvYs2d3\nvYcoxJyl4jkCIc+YmcJQqTwsEZt5WXMuU8TrGwmSy+t2y6XOM2WaFvfdsY3bfrCFx/9YnW0zhJgO\ne82tCsoEa1xnkeG1zAKq5h43aTOfGd5iLoLD3YTD3YjmCFCoQkZPzF1hYAAMA1d7B2Bf2Fu6Tl/n\nLiysSgYWoNXXAkBkDpmrctlvs3ckoGj2NDGcjx018zYdqWJqXDkz2N2AVUUlWZx7wFssGuh5C92V\nJeQK4nBo+AMuXHkv8UKS9E474PW/4WTcx61B9fnJlkrGwe54m4w8h6EfvTmjkbKz0UdmeAG0YBAj\nmcSa47WupetY+RyG1w7aXZabF56xuxgP+VeC0Vr1kubylkSuhP13al/dwJr1drY/EG+paklzuetz\no9sul24q/X84F5v0PnrM/pnW0DDm9vLrI98zvqy5HPAuqwS8paqFKpTpwzT34Z0k4O3rjmOaFivX\nNNK63D6XBvvHVjqYxSK9t/wAI5nEf8pGjHiMgZ//FCh11i/GiRkmLdjBe7mqYamo3s7ZgN/v59xz\nz6WtrY2tW7eye/duPvShD43p3jwTP/rRj7j33nvxeu0P66985StceeWVnHnmmVx33XU8+OCDnH/+\n0bOo09HYcf6U2dha2F16cxwcHCSdTvGJT3yMH/zgx7S1LWPr1uc48cTXVe1Ye6L7uGP3bzi19Y18\n4Pj3VO1xhTgaQzdJpwq0rwqPuT0QHll327o8ONFdJ2Sadjfm0TOPXr8d/JZLnWdq/+4IPYftD7+d\nL/bwhlPbaW5bOp0JxcJlGQUUzTVhVcFIhnf668NMIz+unBlALWV4jRpneE09i2nkcPntzIjD00w+\ndQjTLKKqM6vkENVVHLQv1p2tdjanfGGfLHWkbRkVmLZ4mlBQKiWcszGS4R153CZPA4eSnSQLacLu\n6b/vj2ZaJpliluW+8Rk1VVEJOv0kqpDhTZW2vyu6cpVS6WDYQ7onj1HQye7Zjau9HUeDncH2rF1L\nZufLdsdlv5/Ivtsp5iJk47tpW/8/Jj1OJcM7UcAbCoFpYmYyE/58uoy0HcwaHheQozjgxDQKLF8Z\npq8rTpqVZPTdGKYxpqPyXKSL9nuNkrTfe1qXBQmVGlb6E81VzfDG8vbnd9gR5qHfvkq+EISwQjQf\nYy0TN27S4/aEjGNcwGtXpxYmCHgHjgh4y6+ZoWx1tqkaKWmeqGnV0dfwRvrs4HZZe4im1vLWj2Mn\nMRKPP0qhp5vwO/6cZZs+Rte3vk7mlZ3kDh3E2d6MYhnETIug1QDEKlUNS0VVi7Ovv/56vv/977N3\n716uuuoqdu7cydVXXz3rx1u9ejU33nhj5fudO3dyxhlnAHDOOefw1FNPzXnM9TQ8PMQVV2zmE5/4\nBFdddQ3XXPMFPv/5z3DZZZ8gn89x4YUfqspxTMvkp6/cQX8mwu8PPURXcvbrcoQY7fHuZ7h77/2T\nboaeSpa2EDpiprDcWTmTmtm623yuiGUxJsNbLonOzTLg3fuq3dzizHfYvQd27+ib1eMIMVOmWZiw\nnBlmv4b3yIZVMH8Z3mKhdBHpbiz9374gNPKTZ1rE/NCH7PV9zhY7e+vqsAPebI+9pc7oTKxTc9Lg\nDhPJDs36eEO5KFgKasxLsWhP2jR57fNiuLRWcDbSxQwWFkHX+Awv2GXN1ShpTpc+u4quXKUZViDk\nBkuhOerAKhbxrB1p0FrZw/XQQfLpwxRzdnCUS+6vdL+diJG2x2r5vPzx0MNjrs/KZc7loHi2ygFv\n0WO/p+SH7Ev/M85eg9MskHDYmcr0FNnomciUHstM2MdsbvPj87tobPHhTzURy1Yv4I3m7Ayvvt/P\n7pf7ie2xCA+tqHTTnkg5wzsu4F1RCnj7xl8HRLJDOFRHZa17U6lcf2gO5/NoOT2HqqiV4Ha0qUqa\nB/vtc6RlmV2NEAi5ScRHKugs02T4j79HcTpp/ks7tmj483MBSD67hWLe/jdETRNX3k4oSIb3KHbs\n2MGvf/1rbrrpJj7ykY9w+eWX8+EPf3jWj3fBBRfQ1TXS8GJ0i3y/309ymt3rGht9OBwLa1uEYNDD\n2972Vj796U+Puf39769+pnl736vE8nGavA0MZ2O8FNvGqetOrPpxxMLT2jr5LHouW6RYMGb9praj\nfxd37P4NAD6fi789ZfwETbLUiXn5ivCYsaRWlgJdUznqGI9UnsVsavaPuZ8v4KKQ12f0WACmYdJz\nOEZDk49z3/c6Xnj6MN2HYjN+nGONPD/V0WMVcbj8Ez6fmh5gGAj4tWk935Zlctgs4Hb7xv2+Zfro\nfhk0pVDTv91wnx1QNzatoLU1iJFaQXroRXyeLA3TOK6cVxPrvuseuu++lzV/v4m2P3/nrB4jXQow\nWo9fTag1SPDkDfQA6tAQtMP6FStpbRx5/jvCy3h5YDfhRjcux8y3e0u+EmflvlN44rnDHF6X4mOf\nfBvHxVbAYSi6srP+W+cTpQv7UOOEj9ESaKA71Ttm3LM5VvcBO1gqurOsWbGcBk+Q5tYAe1+N0BK1\nrydb3nBC5bHVN72O4d/dhxbpQWm3J50a2k4mNvAyDqub1tZJMo3YAcwu/RD37HuNR7qe4Psf+DIO\nzUG6rYkEEHSahObw2kgM2t16rdJEs5myr6NPesMKnlUS9KktOPMenH6L1obqvAbVlF2GbaZVQmEX\n7R12cHj8CW1En8qQi1pVe70XIvb7TurQSKVM4+BKckpm0mOkC3ZA3rKmY8xza7UEOOTxYEb6x903\nXojT6mtiWZsd8LYva6TRGyZWjFfl31KkiNfpoa1t/LrjhGYH5g7XxOdzdDCDx+tk7fEtKIpCc2uA\nQ/uHaGzw4XBqxF7ahj44yLLzz2PF8fZkV/M7z6L/xz8i8+LztP3lKQBkcOAw7eB69ZrmJfWeXNWA\n1zAMTNPkwQcf5Itf/CLZbJZstnozyqPXAKbTaUKhiRejHykard6sVbUkkzkymQKRSJLW1iCRSHW6\nCk5ky4HtAFy84UP8x87beKF7J3+xqnbHEwvD0c6rTLrAr/5zK5l0gQsuOpm1G1pm/Pj37Xyw8vWf\n9j7Bucv/fFw5VNdh+6JBdShjxlLU7Rn/yEByRud+d1dpxlZhzP3cHgepZH7Gr6P+ngT5nM7xJ7US\njWZY3hGi80CUQweH8PllT9+J1Pr96lhi6HlUZ3jC5zOTsi+EE4k0TOP5tjs0W+imY8LHUzQ3+Wyq\npn+7eMTOTuWKXiKRJHm9VFoX6aaoHH1PSDmvJmbmshy67RdYxSL7f/JzeMNps2qsl+i0/zYpzUc+\nksSy3KCqmIMxwIOadRPRR57/oGZfX+3p6mSZv23GxxvoSdE0fDIAh/cP8+Jzh3EF7UqDgwO9nOCd\n3d/6cNSuyHHozgnPF5dlH2N/Tx/N3sZZn1e93XbWsOjKkU9YRJJJFNV+3hsSpWxb0/LKYxdDdplr\n9LX9qO0eQMHdcAYMvMxQ/17wnDzhceJ9dhZ9a3wvtEA8n+Tpvds5qWkD+VL1x1DXAPnm2TeCTXXZ\nz1lKtQPfeKSAP+gmmcrRpGXoMyEQb6RzIIK3OL3rakvXSb3wPO61a3G1jj8/+oeHUUyVfMqk5Tgn\ne176DZZl0NjyJgD0iJOBgURVmkR2D0dw5j2ko0WOO76ZeDyDOdRI91D3pH/7RI+97jaFi/wRv+Nc\nvoJsVycD/XGUUtxRNIrE80mW+ZaNuW5vdDVwMNFJX39szuXgqVwGt+qecMzptP15EEunx/28kNcZ\nHkzTvrqBwUF7Qsjrs7th7983SGOzj77f29drrtPOGHN/7+vfQOr5rQwe2lv6xwcZ6LR/rhvGontP\nPlqAXtWS5g9+8IO8/e1vp6Ojg1NOOYWLLrqIiy+uXpfh17/+9WzZsgWAxx57jNNPP71qjz3f3ve+\nD7B58+VVfUxL1yfcd+tA4hAKCusb1rK+YS39mYGqte0fGkjx0pZO8rnZlZOK+njpmcOkUwUsC555\nZP+M92szLZNdw3tp8TbzZ+1nktYzdKbGr3lJJuwM75FZ5Epn5VElzdMZQy5rn2ejS5rt713kczqG\nMbPmHpV1Lx2lGdvV9ixqb6eUYIrasiwTy9JRJitpnmGXZnOSPXjLNM2Hacxu8tc0LR7/4x7uuvVF\n4tHJJ7H1QqlMsFzS7LL/f7SSzmOJHo8x/If/ptA//SY3qe3bsEpbpBixGPnDh2Z17OLQIGgajrD9\nXqdoGs7mZtyxDF6HZ9wWP40e+70wmp/5tjiWZWH12mWRb3rLSgD27YqMKgGd/flQ7iZc7sh8pFC5\nU/McG1eV93VXvValG7S3NAnqT7uwAPeqkUkcR3MzitNJob+PQqYHp7cNl68DRXVRyEzeqbxcrhzV\nCoRLa4VfHbb3Ry6v2y03tpqtctl01qWg6g7yaYPm0jrPFq+9HCmQaJpR46rBX/8Xvbd8n84vfwkz\nN/49Ia1nceXtc2p1xwGSA0+TijxL2GfviOJJNFQ6Oc9VNBfDm7bP1xWrw6w8rgnV0khFJr8urTSt\nCoXH/cy1YgWWrlMcHFnDXn4dlBtilTV7mjAts9I4aypmLkvm1Vcm3LM5Z+QmbFgFo0qaJ1jDOzRg\n/31bl428Jsr75ybjWcxigeQLz+NoacGzfsOY+3pPPAmA7LD9vuJwNZKK53B7HLjcVc2J1l1VAt7b\nb7+drq4u/uEf/oEnnniCm2++GYDbbruNj33sY9U4BABXX301N954IxdffDHFYpELLrigao+92GVe\nfYW9V/wjnV/50pj9wwzT4HCiixX+ZXgcHo4L2h8+1VjHm4znuOvWF3n64X08eN+uqe8gFgTLsti7\nawC3x8G6E1uIDWUq6z+mqyvVQ87IcULDOk5otNcxvRbdP+73Min7Tb0c4Ja53A4cTpVMaSuhX712\nL//fo5/nT4cftcdoGET/9EdiD/1pTCCcLc1yeo/IvpYD4Hx2ZhMvwxH7A7784b98pf3h19899/VF\n/T0JnnjgtXGdEoUAu2EVTLwlEcx8Da81RcCrOryz3pZo1/ZeXn6hh76uOI/9Yc+kv2eUggzNaWeJ\nHKWLQ70wcjFYLOg8/+RB9u+e+/Y0i4llmnR942sM/teddH3raxNe8E6kvFduuLTeLrtv76yOXxwa\nxtnUVMlYAThaWvFmddoc9t+pkNcrgV654230KJ1uJ5M38ngSDVhYnP5nx+H2OOg6GK0EvEdbWzmV\nZCko8zsnboYaLAW8c53UT5Uma92Bkeer/DnmzrvJNwVR3SOvNUVVcbYto1gYxLJ03L4OFEXB6Wmh\nmB/GmqQzdTngzblV3rnK3ru6fH2mBYJjfme2zNIa3qwT3Fn7+WlssZ+/xqCKaup40w3T3ovXzOeJ\nPWxnDI1kgvgTT4z7nUwxgyvnR1EsGgL7QNFQFAf5xItogSL+VCOxbHX2GE4Ukviy9md3c2uAtlIj\nzEJs8uyxEYuhBYKozvHrZV3LV9j37x25Ti6/DsoTQWXNM5jEMfN5Or/6Zbq++TU6v/qVMdfqlmWR\n0/N4Jnn/ruzDO8Ea3pH1uyMBb7ChtBNGNEd2zx6sfI7gaaePy6j7NtjLG/VCFMOy8HuWkYznltz6\nXahSwBsIBPj2t7/NJZdcwte+9jWefPJJCoUCTU1NU995CitXruSXv/wlAGvXruXWW2/lzjvv5Ctf\n+QqatrDW5daLZVkM3H4rVj5Pbv8+Ek88XvlZX2aAglnkuJDdNXNl0K7dr0bAu+P5LooFuzT10L6h\nyiyTWNji0SzpZIFVa5tY/zq7FKm8Yfl07Y3ZnT03NKxhpabgALpT45s8lANeX2D8Rb0/4CadyrM/\nfpCHO5+gaOrcu+/3DGWHGfrtvUTuuJ2B228l+cxIc7ry1kMe75EZ3tl1ah6KpFCUkQ//llJ35sE5\nnsvJeI57f/ESO57v5r47ts96yySxdJmlPXgV7egZXqab4TXzpftNEvBqXixLx5yk6cnR7HyxB1VV\nCDd56ToYJRGbOHA2iykUxVHJWiuqG0V1YRRHJpAe+8NrPPv4Qf5w185jqpIive3FygW0PjREslSt\nNpXcwYOgaYTO+jMACl12k6l0MTPt7X0s08RIxCsdhcuUZvv79ryHvu44P//e0/z85qd57vEDNHrs\nACI6i4Zjw+k43lQYLazj9jhZ1h4iGc9BQcXr8B51u5iplIOyoHPiDG8585s8IngrDkbo+8mPGbr3\nbixj6s7nqUQeQyvic49c+JeXuRh4SDV5x93HtXw5+OwJWqfX/mx1uJvBMirVD0cayb6qbGhYR7On\nka5UD5ZlVZpWlQPW2So3rUq7LFwFe9yhUkDk9PsI5Qdx5kMkMuM/9yzLYt+uyJgJqszuV7F0ndDb\nzwZFIfXi+K1I08UMrryPhnACVckTaNpIoOXNmEaWjuPiaIaT7r7qNHtKFlL4c6UtiVr9lS7FVso5\naeWYHo+N25KorBLw9o1k5odLr4OmIwLeciO26QS88ccfI9/ZieJwkD94gPgjD1V+ljfyWFiTZnhd\nlQzv+GuJ0Q2ryoKhkZ0w0ju2AeB/45vGP25HB6rHg+LUiZkWjY5GdN3EH1xaHZqhSgHvhRdeyDe+\n8Q1uu+023v/+9/Piiy/y8Y9/nM2bN3PbbbdV4xDiKPKHD1Ho7cF7womgKCSfG/kg7UvbazfaA3YX\nvlUBex3IROWnM3VgzyAut8a5H7C3T9q3a/Yz9oZhsmt7L/091evcJyZWzl4u6whVSnj7umY201qe\nMFkR30ah8x4+HPDRmx5ftpVJ59Ec6oSlMf6Ai2ymyNPd9oflGctPw7AMnut6jtif/lj5vegff1/5\nOp+zL/493rGPN7IX7/Qv5i3LYjiSpqFppKmdy+0g1OBhaCA14zLv0V7a0oleNGls8ZHLFnn5+bm/\n3sTSYpnTzfBOb1sis7SlxdEyvMCMs7yZdIHB/hTtqxvYeKY9cXpokgkyQ0+hOgOVLIKiKGjOEEZp\nz81UIsdrr4yU8774TOeMxrKYpbbZF52Zj9rbAqaef27K+1i6Tr7zMO6OlXhWrwZNI9/VyQOHHuHq\nx7/I97b9eFpBr5FKgWXZ29yMkg/bE32tWQcP/XYXxYKB06Wx9clDKAn7wns2Gd6e3mFUS8PbZp8H\nrSvsC/GB3iQN7hCJOWxJUy5p9rsmzvCGKgHvSIbXzOfpuuEbJJ54jKF772bot/dOeZxUMk/RlR2T\nSS5XFhUcXuKhCTKDK1agNNi3lzuUOz323rN6bpLXTCqF4VAxHAqtvhbaA8tJFdOkimm0gL/0O3Mt\nabafs5TTxFWw/z2BUkCken2EcxEUFOID43dN2PZsJ3+8eyd/uGsnB16zS3yzr9lVB6Ezz8KzZi3Z\nva9h5sfeN6NncRQ8NDfZ548ndDzesF1Ou7zNDtBmet0xEcuySBXTuLJ+XG4H/oCrNIFt4Ur7yeq5\ncfcxcznMbHZch+aySqfm3pFrmlg5wztBSTOMbMN1NPEnHkNxODjuX/4VxeEg9ujDleuMXKlC58gt\nifSiwe4dfaSj9rVNYYIJ0MH+FJpDpaF5ZBLGN2onjPSOHShu97hyZrArE1xrV6G4VeK6WdqSaPyy\nsaWgqmt4FUXhTW96E5dddhk/+9nP+PKXv0w4PL4+XlRXeofdlKrhXefiWbuO7N7XMErNwvozdsC7\nzGfPNjZ5GvE6PBNm4wBS21/i8Fe+RPzJxyf8eVkiliURy9GxupE165tRFCp7mc7Go7/fw8P37+bu\nW19keLC6G6CLscqTCss7Qnh9LhqavAz0JjDN6Qd4PaleTnK5sbJ24LvGqeLMD2EcsWdoJl3A5594\nn1FfaQZxb/8hvA4Pf7niTbzZ7aJ/+xbMbJbGd78H/5tOId/ZSWHAPo/LAW95K6IyTyXDO3b20ywW\niPzyDgbuuG3cB3I2XaCQN2hoHnvh1NwWIJfVSSdntmVS5Zimxd5XB/D6nHzof5yGw6nyWmnro+nK\nFLP8587b+f62/ySel5LopaiS4a3SGt5KifSogLeQ1yvZ2NluTVR+X+84roGO8gRZ9/gLVaOQxygk\nIWuOmSxyuIKYRhbTLHJgzyCWBedcsIHmNj+dB4YXTf8HI5kc9x4yXZZlkXnlZfIulf9ffZ5Uo5fM\nnt1TZhoL/X1YxSLu445DcThwtrSQH+jn3v2/x8Li1eE9bO1/aeqxx+2/15EBbypov28afUHi0Sxv\nOLWd8//y9QB07SytLZ3FGt7BAfs9K9hsn9ttpYA30psk7AqR0bOT7ic6lWSpbH6yDG/59uSoNbzJ\nLc9Q7O8n+JYz0IIhYn/641H/lvmcTrFgUHTlxqxt9vqcKFgUNC+RCQ7vbG1DPSLgdbjtgLeYnyzg\nTZJza3gdXvwOHy1e+/eHcsOogepsS2SWsshJh46n6KexIY4jfw+pwRdQfT7COfvzKR0ZO3lSLBo8\n/9TImvGXthwGoNBt757iXrUa7/oNYBjkDh0cc990MY1L9xAO2cd2+zvs/bkVjQaPfU5Fe2f3ehot\nbxQo6jpqxk1Tqw9FUXA4NNSAgScbnHByRY9PvCVRmautDVR1TEnz8CQlzeWM71QTQ8XhYQpdnXhP\neh2u5SsInHY6xb4+cgfspWC5UmA+uqTZsix+f9dOHvrdLn7zsxfxZcPjMryGYTI8mKa51T+msW+5\nqi4VS1Ps78N34kkTlm8DuNbaCbFcRsdr2ddDRy4bWwqqGvBu3bqVyy+/nL/7u7/j7/7u77jiiisq\n5VctVC4AACAASURBVMiidnKlNT3eDSfi3XACmGalsUV/aaPs5aWNshVFoc3XylB6mHxh7AeOkU7T\n+8Pvk9u3l4Gf/7SyUf1Eug7a5Rsr1zbicjtobgsw0JvA0GfWNAjs4Lm896lpWrzw9OyacpRZljWn\n7NxCtuflPu78j+fYsbVr6l+eRKQviaoqNJfKd5d3hCnkDaLTnGgwTIPezAAbvfYbY0OHvZZ+g1MZ\ns2+jZVlk08UJy5lhZD1UMpnl7eEVJA7+ivN8Lk722I11/KdsrJTgZPfsBiCfty/+j8wYT5bhHbrn\nbqJ//D2xPz1A5L/uHPOz8h515dKusvLzMtuJl6GBFLlskTUbWnB7HKxa00R8OEtsePoNg3712r1s\n7X+Jl4de5dZd8h66FJXX3E5a0qzYVQfTXcN7ZAA9HElz2w+2cNsPtvDqtt5RGd6ZNa4qB7ztqxsI\nNXjx+Jz0TbDGfeCOn4IChYO9JLc8Xbm9vJ7XKCbpLj3WqrVNrFnfgmlaEz5W+uUd9P34R+SmaNCU\nz+mTlldXU+LZZ9h31RUc+NzVlYvlmdAHB9GHhzm8zImlKhxssrDyefLdR38fLze3KpdYOptasFJp\n1KLBuavOAeDpnqkzxXrCDjAcRzToifrtichkzM4knnLGKlava8IfcHH4tWF8qm9WGd7YkP3e2tRS\naow06j017LbPh0RhdlnedLH0+eCceB/eYCXDOxIkxh57BBSFlr/6a8Jnn4OZzZLe+fKkx0iN2oN3\n9HEURcGtmRQcXvr841+XzuYWlLDdHdfhsgMhZyng1fMTZwCNVIqMy6LNa28n01LKCA9lh9F8flCU\nue/Dm7I/yxKqjrvg5ZSTd2MWuhnuvB98FuHSnsHFobEhwaG9QxTyBm8+axln/9krrFnxOOlknHx3\nF1q4AS0QwLPO7uGR279vzH3TxSxu3UcolEJ1+NGcQVTVidu/CqcZB2+S7MDcr9VSxTTOohsFhWBo\nJDvqCilohpOhxPgJm8n24C1THA6crW0Uensr4yuX9h8Z8JYzvsNTlP6nX7YTU/6T7Wua4FveYt++\n3a78KGeivY6R65GewzE69w/jcmvoRZNlnSeOW8M7HEljmhYty8d2J3Y6NVxujXTM/tt7N0y+Fam2\nwn5NWokiTt1+Dr1eyfAe1TXXXMO5557LZZddNuY/MXtZPcfvDz7I9sjOCX9uWRbZ/ftwtrTiCIdx\nH3ccAPnSbFt/egCn6hzzIm3Rl3P8S+fw85ueHtOsKPHMU1j5PK72dixdJ/7k+EYEZQO99gzu8lJ3\n2xUrwxiGVel6OxMH9thlMu947wmEGjwc2DOIXpxeGd+Rdmzt4pZvPMZ//+rlGXfsXeji0SwP//du\nhiNpnvjTXgZ6J79gMHNZ9NT4gM2yLKJDGcJNXjTNfvmXy82m27gqkh3CMHXaVQPNGSbY+hYMxcEa\nh8ZAZmSSJJspYprWpNv7lINUR9HFyUoaUNAVB63tPmhx41m3btyHaTnD63JrRzyW/eacGxXwmvk8\n8UceQgsE0RoaSDzxGHpi5DlLxMoB79gSoobS2qzY8OwupLsPjQQIAKvX2zP9h/dPb71SqpBma/9L\nLPe1cXx4Da8M7aZnkooMsXiZU5U0zzTDW7oQUkprvZ58cG+lq/mTD+7FsuzjlEufp2uwP4WqKrQu\nC6IoCss7QqQS+UpzI7A7AKd2brXHkTUY+u29lQvFcsCr5+P0dsYJhNwEwx5WrLI/O3qPKGvMd3fT\n/d0bSDz1JN3fuaFSrXSkeDTLL35kB/SvvDT3nhSTMfN5Ir+4HUwTIx5j6J67Z/wYuU47M9bf7OCD\nx7+PntbS+1WpIdVkiuWAt20ZYHcCBgimDc5dfQ5rQqvZGz9QyQ5Nxii97x3ZkXbAa6ArDmJFH82t\nfkINXhRFYe0JLeRzOq25DqL52IyDkkyp/LK8X6k/6MbhVP8fe+8dZcl5nnf+qupW1c2h+97OPdMT\nMYMwyJEkxCRalCVLlkRrvSZXlNY8x1rLXq2tXXut47VXtsSzkijZEhVImhKTaJGgSIAgBSIRYAAw\nwGBmAEwO3dM53Zzvrbh/fFV1+3YAZoZwEI33nD7A3FBVt8L3fc/7PO/zUim1AsBbuU5Zc8NooCla\nYOKzOeKbAG9jeobu7BViR25FHRggdtsdAEFd47b7qIl729TbxEL9CVHd6dBVoqxGbYxNbJs6mBWS\n5q6C5Dk7K5qf8Nn6ex3TxO12aesSuai4ttmImC8K7RKSoiBHoj844G02kDSNJgYjEYtYrOONEw6m\nnkezO0hSEyrhvmt98Yy4/ybHLpKMFxgcqLI+/SRWsYg+LvxgdgK8LatF1JWJRrpo0dHgdT0mvqcP\nreF25WtKBG8XdaNByBBz+Ma602hK3B/54tY1aQB4U5kt7/mhjY7itJqBnLzUqRALRdE3JShVRSWh\nxd/QiK3jycCjNwoFRfTwjaAogUKzY/mS5t5v8M//+3/2FkYmksQqWZxGP2zz14FDI1vb8UTjOq2W\nmD8i28iZ/ZAzYp+RkovRFuvmtyTNbxDDw8P89E//NPfcc0/f31tx/fG5s1/i0ZnH+cSpz3KxvNWd\n0Vxfx2k2Ce/dC0B49xQAnblZXNdlrV1gKJoNbPUBpAuDqGYY03B47uneNv1M09j/9k+RVJXGiX4j\ngvnaIh87/sd8c+YJsQhSpMDs51pB08aYmxas4O59g+w5kMUyneuq5a2W2zz/7Wkc22VuuvhfdBH0\n3yLOnFzGsV0O3iQWP6dPbP/72pcuMv3P/w9e+oVfov5yf/a/2TAwDZvMBhmvz2gW81d37dZa64wq\nMioOkeR+JEnG1gbIKDLlVq8+r93c2bAKegPqiKKg2S2i6RsxU2Ixwh1ZZFVDH59A0jTa3mRqdC30\ncGiLRNo3sepscGlunn4Np9Mh9c53MvC+9+NaFs1XTgbv1z1maCvgFefmeifigBHzFvTju8SkuraN\nDHS7eHn9FWzX5oGxe7g/ex9Diwd44fTObMRb8TczfAnyjpLma3Vp9gCvLKvUqx0WZ8uMTqS47517\nMQ2btVXx/maG1241Mda2T6i4rksx3yA9GEUJiTnEN0YpbRgvGieOI0W8OvjMKObqKt05wc76C/56\npUinbTI6mUKSJIbHkkgSrCz0Pxflxx8Dx0EbG8euVqjtkHh96XtXAtf25789HSTDNoaxsszKpz5B\n+YlvXTeT1Dp7GrteI/O+HyOUGaD+0lEc49pM6NoL4ly4IzneNnYvq1lPkXJlq7P9xjDzYjxVh33A\nK8DQlJ0kpSe5IbMfx3UCE8Gdosfw9kuadXeN8Icnef/7nuf2IyexPJZq114PWNezdG2D9jXWfRtV\nCUNvkYl7LZAkiXQmSrXUJum13qleL+A1W8R3YHcBVDlEJBQOAO/q48IPIvUj7wQgvHs3kq7TmZ7e\naRNBOYuptYlucoPWjCaOHMIMaVucoKVEGCmsQL2XbJeVCJIUwtqG0XY2GFZlvVrQwQ2AF0RrIt/Y\n6nrDbjVRYjG6dpehmNeZYPdPI8kqpiTkzLpcRrZCwbzXaZsszJTIDUewWudBitLpqmBdAhm0MQFc\nQwMDKPEEXS+pA0IF1rY6pDXxfGqR4eA9LSrqY5NZARBnLvRa/1xPNMwGqgd44xsArz+vV8tb53Gr\nIva9E8MLG52aBctb7la2sLt+DOgZKp3K69bTd67MIIfDwXblcITIgYN052axqhXaXiLSr+F1XZf5\nmRKRmMroZIqbbhfnW10e7NuuTz75ZQMbIxrTMBwFN6ShT+3e8dgcXYydsTWTjlcW9pak+Q3iQx/6\nEL/2a7/GV77yFR5++OHg7624vlioL/Fa4UwwuD8++wzQ36/UrzHQJ4SZiJobQg6H6S7M07RaGLYR\ntAIAUVPZWZFpxctEhyWW5yvUKm1c26Z96SLa+ATayAjhffsxlpcCswPXdfnC+YeYqc7y1zNPU8zX\nGcjGApbQb+tytaDJD9t2WFmskh2KE4vrjHqs2PXUA597bQXHcXng3ftQQjJndgCEVxOO43Dq+CIn\nX5wPnKh/kDC6FvnV+g8k37lyMY+mK/zI+w8SS2jMXS5s2Z7rOKx97jO43Q6uZbH2+c/gdHrZ/0pR\nXM/MYG/B4MvOiutXJ+HNt4sMe4tfLSbaXKneJGY2e+ZMTb8l0Q4Dp193uzsifkM0fZiB9hCu4SBP\niPekUAh9126MpUUcw6DbsbY1wPK3tRHwts6fE/u/5VZit94mjsnLpkJP0pxI9WfwA8BbvD7Am1+r\nE0/qxD15VTIdJhxRr7rV0bmiaPtye+4W1p6HoeUDrH1Hfqu2/b/zcF3Xaz9ylSZTPsO7iTGYuZDn\na184wYXTYiF4PQzv9HmxiD1483DgxL62LPZnbwAvxsoys7/+L5n99X9J4eG/6tue1S1TLpSwTIfB\noY3jhXg+Svne89E4cRyiAvDqw6I3aeusSNKEVLEQa1ZFYjPnAWZND5HJxiis9cZF17ZpvHKSUCbD\nxD//v4QD7DbmTkbXYuZCnkw2yj0P7sE07OA3++GYJkt/+B+pv/gC+S//JfWjL2zZztVE46RIksXv\nuof4XXfjdDpBGdHVRnVOfD4zdQNRNUJ0ZBxTkeguXoWkWZJQc6IkqeUt6CcscT1uyOwH4MI2yfCN\nYde21vA2Cie4nSqoMtVqHD20ytqlz2CbTUYmxOeUqkiGVq+hxU+7ZeB2ZTqRegBuAdKDESzLIWr6\n27x2wCsMihqvC3hByJrrRgOn0yb/ne8RGhgMpKSSohDes1esb1rbj6kBw6t1iIUiNIon6dRmcG2b\nUEccd8jUtvgr2LY4z06x94xJkoSipbZleDe2JPKZb7/NTaGzAfA2fjATRafZRIrFwJEYSNVxXQgn\n9qHHdmG7NYgoxCSx5lpdFMc5fX4dx3E5dJOF63SJpG9mdTWHophII2FR5+r9Pm1iAjOfD9YabasD\njkRME2OOX8cMPcCbTXVxZWHI9IP8trrRRPWcpzcyvJmMuEfq1a3qB/sNJM0gGF4QgFfUnBsB4O12\nLB776ilBsDgOA+E0lmtvcQYP9tdqYaytok/t6WsLFrv5FgBaZ88GKo2I4gP1Nq2GwdhkGkmS2Hsw\ni6PYRNezfecrv1onFJID8mljRKPeWmn3AWR1ZwDb6RZwHZfocisoC9vcCeOHId5UwPvFL36R9fV1\njh8/zosvvhj8vRXXF8dWxUT7wcMfYG9qigulyzz5zdN88ne/y4vfFZlhPzOvelkjSZZRR0Yx19cp\ntcSAudFGfd5jU6uZVaRRsWCZnylhrCzjGgbhPYIpjuw/AK4b9Py7UptnqbFCRk+jd2I4dq/nV7N0\nCqv6NSYnVq55UV7KN3Fsl6ExMTH6rNjywrUbZcxeLBBSZW66fYzJPRnKxdZ1s3QvfucK33/yMkef\nmeHpb5y7rm340Wx0+dKnj/GVzxznqUfPXdfgXi17JmG7M4RCChNTA3Ta1hZGvXX2NMbKMon7H2Dy\n5z+A02xSf6n3DJYL4nxsNGrSwyESqfBVt5XKtwrkvJZgfuY2kRSyJsno1fC2GmLRENmR4RWvT8YE\nQNATU6j5Gs5SGy0iB20c9PEJcF3MtVW6HRM9vBXw+q9trOFtnTuLpIcJ755CGx5GHR6mefZMYBTj\nS5oTqX5XW1VTiCX0bSXNdrNJ8Rtfp/q97+A6W7O57ZZBq2GQyfXOr89m1Wvd4JzsFLZjc7lyhV2R\nQVqzTzE+8DzxeAPJlTl+9PVZnLfiv22Ulx5n5ezHWb/0uat6xnsMb+/+KxdbPPnIWVYXazz7LTH2\nXnsNr8rCFcFgTB3IkkiFGcjFWF0S9/tG06r1v/widr0Oskzpm9+guywSVu3aNMtn/5D64qdRVZPB\nXJwn5p7hN47+Dq+2xbzk1/w7hiHKasYFKAtPCBDWPCvKcBRNjOmdljimjeB5MBfDMp1gUdq+dBGn\n1SR22x2EUinCe/fRnr4cJF79WLhSxrFd9t6Q48CNYuHtK4X8aLx8DHN9jehNN4OiUPzm17e9LrVK\nm4f+/GW+8CdHtyiLXNelefo1lGSS8NQU0UOiI0HrwrX1nTeWFuloErvGRR3deHKMUkoR8+7rGFeZ\n6+uEMgPBYrWgi8/mOmK8m0rtQkJivv76wNkv5Qh5JqJWt0x58Vt0HJfnXriVl793gMTg/dhmjdLC\no+hhlcFcDKccQnKka2Jj/UShGWn1GfCkvESi3PIW9NfB8BqOielYbwx41TgNs0n16AtC5fOOB/uA\nRmS/uEc7M9sz7H4PXlPrMNC8RGn+Udanv0Bz9QyalzBSTG0LaPfrdO21Bq7Ve24VNYFjtbYkr3qA\nVwoAr6ZoxNUYFY9tV+JxsO2+xPW1hGtZOO02RCOETI1koolhJZAVDT0uWD95LEzaEc/nlWlRlnTh\n1BqSBLmsOI5E9jD1VlZ8flgnNJgN9qGPi8S3P340rRYhSyMSEcfs1zOLc5FEDkUZDkF1YJVquc3J\no/OcOr7IVz93gke++Arl4tWvIxvGBoY32bvfcllv3Kltfb78Onwl/TqS5g2tiUqbHJqf//Zljj03\ny6svLXDq5aUACO8ka+7Oz4HrEp7a0/d69MabAGidO9MzrfIkzcsL/aVRIVXBGq4SMsIBIWR0LUr5\nJtnheJ9hVfAbPDWPO753x98J4HTLmC0btW3SqonvvCVpfoPI5/N87nOf46Mf/Wjf31txfXG6eB5N\nVjmUOcDNg4dIFUe5fKqAY7uceH6elYVK0CdMGx4JvqcND+NaFpVVITHZyPAuXBEDcj29Tj0pBraV\nharo9UdPEh05cBDo1RidKwnW6WcP/CQDlgA56cEI3eYSxbmvYTRnOXLTJVxz8ZoAnQ/Ycl79gR5W\nSQ9EKKxdW0azWe9SLrYYnUwjhyT0UTHIzV66drlMq9Hl1MuLxBIag7kYVy4WttSZXUu89J0rNGpd\nZEXi8tn1q67l3BiLs+I7k3vEtZyYyniv9w+wtRePApB+13sYeu+7AahvkKZXPRlvelMPwcFcjHbL\npNV8Y6leoV1iSJEBCTUsJr1kXCgMNLs3UfnbisV2aJOiuciSw2CkixoZQQlFMVaWcBbFMdYqwqhK\nGxMZ4fbiEpbpbAt4FUVG0xW6HsNrN5uYq6tE9u9HConPRw7cgNvtBKqIeqVNLKEFLYk2RnogQrPe\n7WP3Xcti8fd+h+LDX2Xts39O4Wt/teV7yyviOp1ov8z3lnqMUuBS+gaS/8XGMh27w49HFZzOOYaH\nStx//yncaJ0rF4o/dHXpPyxhtNdo5F8CoNtcoF19Y0Dk983dyPC++tICjuNyy13jgITjytsyvO2Z\naVY++adUvvNM8FrvcyHWlmtkBqNB/fzkngE6XfEc+G2JjPw6rTOniRw4yOg/+sfgulSeEX0ha2vP\nASDRYXJ8lbKa55Hpx1hr5Xm6+G0kGUreorQ7Nwu2TWhELMy0ZA5tfILOzDSubaN4DK/tsYQDuTht\nq82jM4+zrohnsZgX2/LN6XzmI3bzLeA4tM6d7fv9fuJ2av8gyXSEtNcfeKNpYs0zzhr6B/8L8dvv\nFDLrbUywvvOtixTWGtSrHZ585GzfNqxCAbtWI3LwBiRZJnLgAEgS7WsAvE63S6hYo5AOsSctFrzj\n8VGK6RBYFub62o7fs8olVI9JA1hSvR60bTE36orGUDTHYn3ldeWUPZdmAQIqK9/BdS2+V9BotJPk\nmvNEOIge30W7epFO/QrD40lcW0Jvx7dId13XpXXxAq1zZ7fM034iUYm74Dq0a5cxu6VAOWM3xHh7\nPYC34cmU49obMbwJXNeh/J1vgyyTeseDfe/rk0KFsJNpWN1jeEN6B7XRY8/rhRcCwBuydGqbGF7f\nidmtmJjl3jwf8pI+1iaW1we8bV0mqfXY97SeotKt9ffivc46XrstAIwT0Um5KqpqYTli/RCOi/Mg\nj4ZJmTW64QYL02VWl6qsLdeYmMrgmisgyejRcVA8Vnc4jDrYY219wGt4ioWW2SJk6kSjHuDVe2tQ\nSZLQomPEJIfaxAU0XQkIhrXlGsvzFeHBcpUGqHWzgWoKwBuNKXQac7iOxchgBhcXc5vTZlUqIElb\nJP4bo8fwLgfJh0w4RbdjcvH0GtGYRigk89rLiwEQ3qlndTdwtZ7se12fmERJJGiePUPbFPdV2GN4\n855UeXgsiWVUadcuI42J++e8Z/K6NF/BdWFs9/ZMtdoSn3ezo9u+D+DYXSSnS7Mr1jqtig9435I0\nv27cddddPPPMM1jW1WWk34qdo9gusdZa54aB/aiKKhqSr+4BXN77d0SW+dTxJWFqIUl9k6IPfhsr\nosfhxr5ha0s1IlEVLQF5VojEVFYWKrQ9wKt7gNcHvn5dxvnSJSQkbsjsZ0wSg5sTNaiufheA1KgA\nV1OTsyw//jQrn/pEwA6/XvgmVz5bDKKm1OhagazoamJpznON3p3mc2e/xCM1AUbOT1+7m/G5V1ew\nbZc7H9jN294rMsHXWw/c7ZhcOrdOKhPhZz4k6lNPn7j2nqz5Vc+AI1bk2cXnyIwKEOnXb4CQM7dO\nnUJJpQnv2Ut4aAhtfIL2hXNBC4ZGVfw3keqvWw3qeK+C5c238+QUBTWcDYx1FDWB4ULctYIFUKvx\n+jW8LblBPN5Ekd3AyMJYWcHxmKhqVdw/ulcr1FzykjvbSJpBSHBqzRbztcVeIsj7LhCoFzozM9i2\nQ6Pe3SJn9mO7Ot7a0efpzs0SvfkWQtks5ccfwyz1s0rPXRDsVztS48sXHwl68w14kv9S/vUz1wv1\nJfapCimnRbk6xOWZ3WiyyeT+GWzz+kzh3or/8tEsCal8avSdALTK25sMbozNNby27TBzIU80rnL7\ng2Nkh+PYloRj98+nZrnM0u//LvWXjrL++c9Se0GAU1/SXCmbmIZNJCfxseN/zH869XkSQyqG4QFe\nj+H1Jb7Jtz9I/NbbkGMxmq+cxLY6dBtzhPRBXFdieKjIy/VjyJLMP7ntI6ihEEa4FTB5/jivpMU9\nrqhxwnv24BoGxuqKaIckKUCTcFQlHA3xidc+K8wYO6Kljj/u+C06AqXRDYfE65vmktXlGqqmBPXE\nE1MDWKZDfk08H45h0L5wXpToDA2RuOsucZ02lDSAYKkXZ8uM705zy53j1Ksdpi9sMN67Mt13PEo0\nJsD83Oy2Co/twlhbRQKqaT1QW03ExyikxPXYCXSZeSHR1oZ79Y/LiAWsvkHJMpkYo2N3gprP7cKq\n1ZDDYWRNwzLrtMqncNU0q4simZhrzGEVi6THfhSA2tr3gzk53EpuAaeVp55g8bc/yuLHfpvyY9/s\ne6/qLZjDcVif/gvy019k5dwfk4x7reVq4rz523Qdh/xDX2L23/7r4F7eKRp+D95QTEind0iKJ7Q4\nwyULa2GRgbvvIrSJyQsA2tL2c3Gz3kXSHfbqMpLrkB57L1psAtNZI6x6IG47hteTITtVE6vQS7YH\nTuVGf+Lcr83taDJpvQe+UnoSwzbo2F3B8HL9vXh9oOxENIY9XwBkr0dwdBSQkYd1dNOlMih8Qr72\neTGP3XT7MEZrFS0ygiSHiCUH6HQ1pOFwH8OrTXgMr3cvN33AG+ngunKQ9Ao+78uaoyb3/8w4N98x\nzj0P7uHD//QBbr5jjGq5zeXzV9fKT0iawyiKQ335i6xf+ixrlz5LJKRj6h2c5taEtlUuoySTSMrW\n9/xQojGUVApjdSVwKs/oaeZnSjiOy70P7mHf4SEatS5azXMh34HhNTzmW9+wHgGhyIwevhG7UsFZ\nF+NORBVrs1KhiSRBPFZn5dwfk5/+Im8fXMXUG8xcyGOadkBgTe4Z2Ha/ck2sT+zE9u9DT5VQ9ZLp\n7WYXTVcCz4YfpnhTf9EzzzzDL//yL3PzzTdz6NAhDh06xOHDh9/MXfwPE7M1AVb3p8VEG+8MEGml\n6GYr7D88RGogwtzlIu3VddTBbF9/LdUDvMaqyAL5DG+raVCvdRkaTZCNDlLqVhgZT9FsGNRWxOCs\newOXEo+jpNJ0lxaxHIu52gKTiXFRf9QVA3MjtESndgktOk5y+G10rWGygxVWnn2K+osvsPix3+7r\nY7Zd5Ne8Fjm5OK7r4LrONZsoQQ8QthNVjq2dJJWMYehtCstNDOvaDEZmLhaQZYn9h4cZ25UmltCZ\nvXR97Nr0hTy25XDoyAi5kQSDQzEWZ8uYxtakUOPkcdY+9xlaHsuxMUr5Jkjw+fm/4KGLj/DpS59B\nj4QorPUmwc7sLHajTuyWI4GpU+yWI7imSfuSYOjr1Q6hkLylPsOXGb4R4DUdC9uooUmgbjCikCSJ\npqSRlqHlpVR9hncnl+aaXSWRFMevRrx7dnkZ29IwXRe77TmUek3gmytiQtiO4XVdlxpVum2L3z72\nh1y5dEJ8d6SX2Qzv2eOdpxnaTQPX7ZdAOa7DQxcf4V99/9+z4oqJ22crXNel8vSTIMsMf+jDDP7E\nT4HjUHn6qeD7HavL8oqY8H70pvtxXIfvLws5eXB+3+CeXm6ucbcurs1rpydpdG9EUsLsz9WQJPcH\n6nX931u4rsv0+TznT63+QMy1adh866un+bP/8H2OPjv9X70lmeu6tCrnkGSN5NADKFqadn3mDY+j\nV8Mr7sGluQrdjsVC/BL/6vnfJDrh4DgyptGf+Ks89ThOu036PT+KpKoUHv4qruMEgHd9VQDaE9ZL\nzFRnOZk/xeOVv8ayQrhuj+FtvvYqKArxO+5EUhRiNx/BKpdozp0AXKLpw7Q7SVKpOsvWLLcMHubQ\nwAHuHbmDtlbH6Np02iadWU9qH/VcaUPxnnni7BVRwxiKo4Y6pAcivFY4y6XKDIcHDjI+KliiK0vC\nGKZz5QqhbDZgXsK7p0CW+8yduh2TSrHF0GgCWRbj3PC4+LwvSW5fPI9rmgFTHL3BkyKf7y9P8ZmS\nG28b45a7xNznO6NCz3k2snd/8Fp41y5cw9iRmd0c7TWRfCObCcbl0diwYHhhxzpev/e46jk0zh7d\npwAAIABJREFUu67DAfLo/3A3pHuJs8mEWEQvNnaea+1aNWB3m8VXAJdaZJJEZYRQyCbdyWMWC+ix\ncfT4bjr1KwwMiPsz3Er2Mbx2s0nh4a8i6WHkSITio48ErrcA5ZI4toOZLt3GrDe2S1i1p5Blh0al\nS1yNBWCx8szTlB9/DGNxgdU/+0995kebo2E2CTcTVJ6M85k/eJ6H/+KVPt8GPxJanNvOC+A98mPv\n2/K+mhtCCoUCCe7GcF2XRr2Lq5vsUQUgiiQPEE0JOXp82KtLNbcyvFa3BK4EdQuztJHh7bXm2hh2\nXfy7rUtBOyUgAL/VbrXXi/c6jav8cgArrJH1QIysivIDWVbRIsNIOZ2QaVEcmUVPiM9M7R9kdLQL\nOOgxwUymMlGq1ThKXAG1N775QM4HvC2r3QO8UjxwrPbDd20eCck4sS7veN8B7nxgN5GoxpG7xb4u\nnbm656thCpfmffvWMdviWTNaSzRLJ3AiXWRDxdzQ9cN1XaxqhVBq5/rd4DhHRrGKRSoNARwz4TTz\n0yUGMhUy0WfYs2sOcDHy4j4p7dDCy1heFsTUyMiW96KHhWuzPiOe32goguu6lPJNUgNRaqtP4zom\nipYmi0Fu/zSW6XDpzBoz5/Po4RDDYzsw1SWxzdnXaS1mdcWaJY+Ygztd+4eyfhfeZMD7/e9/n/Pn\nz/f9nTv3g9U//o8Sjm3gbOivtVAXA/GuhJiEl71WJ/nkPKZjMbV/EMtyKJnhLQ+RnxF28wLE+lll\nXyKRG02SjQxguzaxQTHplisGoUwGWeuBE31iAqtUYrkwi+3a7PImVpoqruRgWwJExTI3I0kSriIA\nhbwvyeDf/VlcwyD/Vw/t+Jtd16W03iQzGMVsz7F06mMsnvpdBjMC2Gw2UbKqVYqPPkLp8ce21LP4\ntcMnW6I1xkdu+RDJIRXFUjk63d9+wLUsCo98jeU/+Xjg/utHo9ahsNZgbFc6cAPed0MOo2tdF9iY\nnxaT3r5DYoKZ2p/Fsd0tUuT6ieMs/9EfUv3usyx+7Lf7+k/6TqndcIOYHuXGwRtYaC6jpCxqlQ7d\njrhvOh4bEb2h128tctCTpnu/s17rkEiFt7gc9xje12cgS+0SOUV8Vw0P9b1nKFEUSaLi1ZP5DG8k\ntv3gWTGqJFNi0aNFRrDbbaxyidDwCKuWg2o3cGwDJZVC0sO0iiI7vh3gvVSZoe5WkV0F2Q1x4aIA\nmr4sCdjg+DzTM9TawD4fXTnOs4vPUTVqnGyIDHe96sk/l5fpLiwQu/U21MFBEvfehxyNUTv6QsD0\nvJo/jdqKguzywIE70GSVV/KncF2XZDpCSJUpvdH5bSyxK6TgyCM0GjFGJrPEMjcRC7kMDpR/qADv\n0WdneOLhMzzzzfM89fXrq20H0XLnysUC3Y7FyaMLnHtt5U0+0tcPq1vENioo4Ske+sxJlpciuHYH\nq1vc9vMCnDq9Prwew3tlVoCvdroErssLxvdwHBnL2tBqyzSofv97KIkE2Z/7eyTuvR+rWKR98UIA\noPMrXklANM8HD32AO4aOcMWYQY3KmJaKY7exm006s1eI7N2HEvEMX44IU5/Wspiztdg4pUoSRXbJ\nqnD/mOgbedfwbRi6ABO1Spvu4gJyJIJLF0kJI8kh9N1iLvDb4yHH0TWDZDrM0/NCFfRzB36Snz3y\nfmzZYn2tSnd9HbtRJzzVqzeTdR19fJzu3GxQE7m+Qernh///68segPAceH2GWEkk0CYm6UxfxjF7\nCdCFmRJKSGbqwCCpTITBXIyluV5C0gej+q5dwXcCOez8zsBsY5SXREIgPNQbi5JaglpGMDnGNqAL\ntrYkapVPs1+xkHQFjijYXmJxMi7mZX/NsDlc18VuNlHicQHmiieRZJUr5SiqqZMdkZFwMYvifk1k\nxXVWEbLtyCaGt/biC7jdLoM/8XfI/szP4ZpmHzNbKbdwsTmgVZCkELl9f59E7m4cq86uySLVSpuU\nLrbpWhalx76JHA4z8ksfAdel9Nhf73guS+U6UxfuwaxLDOZirC5W+e7jF7d8Lt1wOTjfxR4eJH37\nbVvelxQFbXQUY3lpC1PfaZvYloOtd5gKhVDUBKFwlnBC3JfRUTFObWZ4fdM6RfIA6oZ+zUFrri0M\nr5gP5FiMkNyb11Jar3VTj+H9AQGvHiLpJYi0SI/x1mLjSIqEFnFxFIv9f1vjp/7Bbfytn7kJo7Xk\nfUasQ1OZCI2mUD9ZnR6DLYfDqNkcxgaGN2yr6LqJpPS3wgLQPYZ3RFG2qAdSmQgDuRjLC9WrkjU3\nug1UQ2d8ZBWQGT38yyApNArHkaPiOa5v6NXttFu4hvG6hlXBuRkdA9el6xE3GT1FaW2Fe+48Tbdx\nGcV6kV0TK9RWxX6261ntui7dpSXUoeFtjaOiN94MQHxWPO+RkCinMro2wyMu3cYV9PgUIwd/ERuJ\nm0cryIooxWi3TA4dGQnMY/v2a1lIeTEXnlg+s6UswQ/TY3jXVQUX6NryD6VDM7zJgLdUKvH5z3+e\nj3/8431/b8XrR7u+wtLp32f5zB8EN59vQjGZEAODD5AayTwrzdWgkL0cGe6r3wVQs172rlonJClB\n5rCw7tfLxhn0LPDlpHhQq0Yo+J4fvuxndVrI8yYS44LNqFoYepuo4Ukw0mJRIZcFsInsjzLw4z9B\neP8Bmq+cpLvcyzy/mj/Dv3vxY/zHk59kbn0Fy3IYyKkUZ7+GY7dx7S5y90k0zehjG81SifmP/juK\nj3yNwkNfYvH3f7fPFKJcaBJNqJytnWcquYvJxDg37BHHf3q63+wn/1cPUXr0ERrHX2bp934HM9+T\nsK16Trp+rSzA5F5xrpZ2ABtWpYLT2Wpw5DiCkUukwiTTYlG5a5/Y1sIGwOvaNoUv/yVSKMTAT/4U\n2DaFDYmCerWDZTq0IzV+bOo9/OKNfx9N0VgLiXvEr4PuBrL0njFCZI8wk2rPTGN0Lbodi/gmOTMQ\nALLCGzC8+XaRnDe4bmw1AOCqYmJrtMQg22oaRGLqtmYKILKhyWQT1wU1Ipq8A8QmdrNqO0iA0V4R\nNT9DOTo1cWz6NpLm55dfwgqJhey9mSPoJTG4b3w2JEVBn9yFsbRIw2vGHosLds11XZ6af5aQHOIf\nHfkwpr+g98x0Gq8Ixjhxh5BGyqpK/PY7sKuVIJlwtnQBrRMlntQJqxo3Dh5ivVVgrbWOJEkMZGOU\ni63XZTNjRh5Jkmh3hZlIbjhONCMmxNzoWiDZ/Jse5WKLV19aIJEKkx2OM3MhHxgtXUtUSi3Ov7ZC\nZjDKP/hH9xJSZY4/N4dzlXLTjWF0LV54ZprvPXHpqmrZ/eg2xXN46UKI4nqTfEEsCJuVrfWizbNn\nmPnnv8r0r/4KZlkweD7De2lWLC5//LYH+dt730c5vC5qeO0e4G1fOI/TbJK87wFkVSX5wNsAvMSL\n+NzaWhNbthgcSHDf6F381L73IyHRidYwjBC22aJ98Ty4bsAuQK9Po9kR46EcylIqibFiKKQGjsD7\n0nuQo4IxqeTrmGtr6BOT2FYTJSTmGn18HCSJricZtZ0IsgzhRJeZ6iw3ZPYzEhtmLD6CHLegpbLw\nmvAa8JUYfuhTe3BNMxgfNvs+WGYdVZojkXCCnpTdRaGQCm8AqtGDB3FNk+6CeK/dMijmm4yMJ4M6\n/qkDIiHp34vG8hJqNoes95QgPuDtbGIi/Y4DmxnHxqq4PzKjozQKJzDaYjyIDuToaNK2LCNsbUlU\nzR8TgPViCykk0SiIMWk8LoD0SnOH1lLdDtg2SiyG2V7FNipEUjeQnxXXcLeXjPUluJH0DchKhG7t\nHKmBsGB4NzCZTc+1OnHf/STuvhcUhfqxl3q/t9olkSsQdk2imZsIqYkARO+aXKVe6ZBSk3TsLuWT\nL2NXKiQfeDuJ+x9AHR6hcfL4tvOp67pMf7dJyNLZc1+Mn/vFuxid0FGsY6xcfgJ7Q7ut9EvnkF2o\nPnDzluSuH9roGK5hYJX7xx2/lEqJ1YnKEnpsEkmSBFNtgjriGTbakT4QIUypuiiqWJuZG7ar7MDw\n+nJjdVN/5LQu/l19EwCv4wHerq6QCHm139GexNWXF8spMU+3aDE2mUaW5WBs0z3Am4jKNJtiLWNu\nSuhpExPY9TpWtUrLbJH2WN2QvhVYKmoCR4kwEpIpd7f6o4zvSmNbV9eestk0ScTaRCM1Iqn9qOEc\nkeQBzE6eTEY8i8Vy77wHPXhfx7DKD1/xKC2vISGh2RFGctMoisPovvchyRoHDyxSWKmhSdq2kma7\nVsVpNbfImf1QBwdRh4dJLVaQHZdIKBwQOMNDYiyODRxBUROsK2lSisRdD4IkiVKpOx/Yvt1QZ2kR\n3a83N7XABHdzmF7iohtL48TTuEhE3mJ43zg+8pGPcPbs2Tf+4FvRF0uXHsN1ujhWk8rSE6L/Vn2J\noUiWSCiCZdmsLFQJpyUszWCxsczoRAoJqERG0DYxvHIshqTraNU26XA66MHru2oOZGNBc3MjKl5r\naJmg9YEfmgd46/NCTjaZGKPTNul2LOS4yaBkEdIHAkMG6ex56o0o4WQTcMi8x6sHeu57AKw01/iz\n019gtbnGxfJlvvCyaFk1OrSAbTVIjjxIZuLHwDU5uH8peOhd12Xtzz+NVSiQ+bEfJ37nXXSmL1N+\nSvTX63ZMmg0DJWHj4nLXsMjoTk2K81LMN4M+gmapROXpJ1GHhsl+4OdxOh2K3/h68Jv9GslkTucv\nL3yNj7/yn6hEhFvhZnbNtSxWPv1JZn7tV5n+Z/87Ve93+lFYq9PtWGQnovzJa3/Ob774e8wxjaJI\nfS1qGiePYxbyJN/2DrI/9XeJHLyB1pnTgaTNr/s0Y03uH72LqBrlnpE7qGhioCp7tXSd2StIerjv\nflASCdTcEJ2ZGWoeW7m5fhdAliUGcjEqxdbrZlXz7SJDXt2LugnwqvqAdz3EcbWaxo5yZhBscSrW\nptGM4jhyIH+PjE/QkMWkarTEa2puCNMR97Ee7h+MDdvklfxpwhGZO249yzvkCxx8ew47rfW14QCv\nfZfrUl0Sx+i3MVhoLLHWynMkeyO3ZG9kwquJL5XEIqP52qsgy8RuORJsK37nnQA0vN6+M4UFQrbG\nwIBYoNw4KNj1SxXx/AzkYjiOS3Ub92eAutFgSrZxgbWCeBYz2Rh6bBIbhaHBMp2WSfMNnJ43R6PW\n4dyrK1TL19ZL879kvPbyIq4Lt71jjEM/IhZEZ66jtv3cqyu4Ltz19imS6QiHbhmlUety5eK1mdW5\nrstTXz/LKy8ucPrEEt/88mtXLbPuNgWAWlwIc/CmYSb2CuC4ujDb9zmrVmPlT/8Iu9XENQy6nseC\nJGtYtkWnBFa4zX27budtY/eiKgoWLpLkBCqOxqtCreK32YrsP4AST9A6c0oAXkmmUjToRuo8OPEA\nkiSRjQxyeOAgJXUd0wzh2G1avlTXMycECA0MoqRSOKE2kqzRbOk0GgK8H4im0TxzLVmSGc6JxeLS\nlXlwXdTxcRyrheK558q6jprNCikf0DXEc9ZUBGi9LXdzsN/MQAzZVTj/mmhj5LfY88P/d3dZLL79\neWEgF/PcpD9O4cqXuffuF3DMIp2OgbGwgJJIoGyQLfr+FD7rvDwvFtrju3qf8c0AVxaq2I0Gdq0W\nmOYF2/HrPzeU63TaJl/5zHEe/sJJ/uJPj/aZHFr5PIRlRtVpSgvfYPXCp+g2l8hFs5RSIcz1dRxz\nqyx3Y0si22phtZZZsh2aixKu7dIqCyY+rsWIqzFWm9vXPPpASY7HaVVFuUwkdQPdpRC2bHHDzfuR\nNA2zKJ4ZSVKIpA9hWw0mJzsotkq9LhJ/dqtF6+J59N1TqJkMSjxO9PBNdOfnMIsFTNPGaDuMjoqF\nejQtEiohPYMenyIRK6OqHRKOOOe1U2LsTN4v7tXEnXfhmiat81tNwS6dXae9DrX0GvtvzYJrcvst\nxzmwbx6zfpT1S5/FsQ3seh315VPUojLrB4a3bMcPNSfG+M3SdB/wxmLiGvrznCRJuAULJRVCVU10\nO9LHTvqKDjUmtuv3egV6xm2bAK9Z91RLiX7AmwokzbXAtOr6Gd5e66O46mCaCtF4Tz7t+2co2RCy\nI9o++WG0lpBD8YChDmMEDK/Z6R9jA6fmxQWaVpu0lxjXI/19Y/0IRUZIyDKN9tb7dtwzYfKdincK\n13UxmjYDGXEeI0kxnkVS4r9jnvS/UNxwna6iJZEfgZfAcomEFqe0WmVsbB3biTK6593EBm5B1zpk\nUkVy9ui2DK8/Bm4eRzZG9PBNqKbNZFlGluRgzRcLLwNS8HtKqqibzg0s8ku/+nY+8It3bVkP+VGa\nOYfqqYgUS+PiDq3Luu01LNdF0wdxh8VYG45s75PyNz3e9Krkj370o/zKr/xK399bsXM4dpda8SJq\neBgtOk67epH12hxtqx3U5qwu1rAsh5HdYtBZaqwIN+NYB3lYQ8ll+7YpSRKhgQFiDZOBDdm1cqFF\nSJUFq+IB3rpSJqRIHuDtl6j62S1nZRUJibHYSNCqZWjIQJck3LAAV65t41x8jUo5gSLbGO01Yrfd\njhyLUXv+OVzL4om5Z7Bcm4/c/CF+dNc7PfMKl5g+A5JCMncf8cHbUdQE42Mr1KtNHMel+eortM6d\nIXrzEbI/+wGGf+EXkcNhyk8+jmOalLxWO62wGNQOD4gF52DOM91oJrhUFqCj+uy3wXEYeP+Pk/nR\nv4U2NkbthecCm3pfLvdo8VG+t/QC50oX+dT5z5LIaeRX6n2uvYWvfoX6C8+jjY0jhVTWPvNnfUZd\nS54M/VXnZc4Uz7PcXOXzF75ELBuiuN4ItuVnx9Pvfg8AyQfeLl5/STguX1kSmfvh4XTQlPzu4dvp\nRhrBdXU6bYzVFcK7d/e1XwAI792H02pSnTvNXbefZnTgOZ678hjPLb2I7fR+T3YojuO4r9sSIGB4\nZW2LEUU0IkCa0yhgGhamYRONb+/QDNDuFlFDDvVGlE7LDBaQ2ugYUtjrO9kQoEDN5bA86ae2SdI8\nXbmC6ZjcPm4wOlLARUcb1JHf1f9cQO+ebqyLxYhvqHVy/RRAkCy5ffxmLMWgWKrhmCbduVn0yV1B\nth28ukBFoXX+HOVOhXbNYP/eOW7Y8yzF+W+w15MaTldmgV6/453O73JtkfGQQluOUlh3UEIyyXQE\nSZKxIyPEwxaxaHtLK6rXi0qpxZc+/TLPPnaBL3/6GKtL1+82/maF67rMXS4Q0iU+lf8Efzr7SZxk\nm7npYl/bJtd1qX7/uyz90R9Q/OajW0CB67pcOruGpivExl1eyZ9mzy0CsFw6s3URZebzog3MNtLp\nlYUqc9MlRidT7DmYpbDWYPrc1ZmmdJsL2E6IeiNG+GCX9H5x33Ua6337Kn3jEZxWi9wH/ieGP/xL\noEpgS0iSxLmlWRRLJZKVUWSFmBrl5uyNGNjIshMk4lqnTyFHIgEbK8ky0RtvxCqXcYw2oIILnWid\n24duCfZ91/BtdCJ1TFMFHLoeGNd399gBSZLQ9+2FhEwolKFe6VBviHt2RO1/jveMiMVb3vN+0CbE\n3OEzvCCeY7tew67XabfFoqziCtb7SO6m4HO7RgSgKC5XvO/1O4r2FtIC8JYLTRRFIhazKcx+Fcs2\nOdU10VWb245c4LHjT2EW8ugTu/rYvaCueE4cg5/AHNvdY3qGxhLIisTKYiUYj5ZjFr93/E/4i3MP\nUelWURIJ5FgsYJwBXnhmmlK+yfjuNKZh8/hXTwdMr1yuwtsGkewW4cQecG0qy0+SjQxSTCngOJir\nW9lZc31NlBmpGp3aZcDlsmEhR5O4qx3M7hq2Z+I0HM1RaJcw7a3A2Ze0KrEY7coFkBTaxihSW6Mz\nUCYWDqMOZjE3mCz5QDU3II7LqIr7uHNlBmyb2E29hEXsJq+1yvnz1CsdwGVisIoja4STezdsUyjB\nRoaKREwxdxiXLiFHIui7xH0Y9Wqum2dO9/0Gy7Q5+sw0yC4ru8+S0GJUV7+D5JRYWRtleXUUs5On\nuvos5W8/BabFyUNR6vbOc5lv9Gnk+5/zhgfuY1ExzvpKJtdxsJc9dUFOmDI1zGYwh/rqPC0xghQK\n9THHvnHbZsBr1GvYMsRj/WxjymN4K0a1x/D+gDW8HU0iptq0O3pfy5mQngULpCEdzXBpeL1kLbOO\nbdbRY+PBc6R0G7Tq4rubSzYCqf/iAi2zRdJjk8Px7QFv3HOIdjv5Le8NjYq17hvNdR27g9xVSac9\nRZfHREeSQo0y5F3DSqV3H/g9eJWrALz6+ASSqpJeb5DR09QK51FDNrJ+GElWiA2I9cLocJ5UN0vT\natGx+hPSvspF24HhhV57oqk1oVos5ZtIkoPs5IMOFgCGmqJoO7jNWUKKFXgYbAzXdWgUTtDuvoaa\nckFyCTtRLldmtzi5u66L3S1QtB0GI4M4GfFM6NIPp/Hwmwp43/ve9/LQQw+xsLDA8vJy8PdW7Bzd\nxjyuaxNJHSA2eCsARU+qtCspHt5Fz4F4/z4BLteaeYzWCvfce5z77z9Nxf5uMPH54WZShE2XnFdP\n4jgu5VKLzGAUSZIYDItBqNgpkolatLQU8kA/QNBGRkGS0ApVMmGR4fedOccGPNdfRSyIOrNXcNtt\nWp5bXbc+j6yqJO65D7teo3jqBCfWXmU4muPW3M38xN73kbQGSSaayFSJpg4hh0T9VyxzCyHFIjdQ\noFHrUH78MQByH/h7wgAlGiP1I+/ErlZpnDweMNfp9EX+cSqOM/9VOrUZ9HCISEIh3EpwviSAaOPE\ncSRdJ3Hv/UiyTOpH3gWOQ/3FF3Fdl8JanXBKZrV5iZ/LjPDPdt3BoAQr+iyO47K2LABDd3mJ8pOP\no+aG2PXr/w9j//ifgOuy/oVeD05fjrOizfLg+AP8i7v+qXhdE+xWfrWOa1m0zp5BzeaCATF+x51I\noRANr53Q/LLIQN8y1TNO2ZvajZoQ+ykXm2IR57pb5IAgJILSsE5IfprhoRLh0AJD5Zd44tLX+LMz\nXwyO16/jLaw3RW3V449R/MbXsVs9qViptU5GllAjw1ukYuHz4jhTs3Ms/OVXgJ0NqwBcr/6p2YzS\n3gB49dExUrFxuq5Lx5NHq7khTA/wbpY0nytfJARMpVYwzRDN1vuxF9tExsIsF/pdWX3VQqMs7pm4\nx/BOV2aRkDjoyTZvzd6EqbfpNhzhyGpZRPbt69uWrOtE9u2nOzfLzOp5HoyHuOHAHFqoQrN4AiX/\nPWJqlOnqLCDYWiBI0IBIFHXm5zDW1ihXLxKSJNzIKOVii8xANJjQ4l6GN5ctXxPg/f7TFzG6FpHd\nNrbt8O1vnP9v3tqosNagWTcoJZaRZYm9qSnW0ldwXZib7hm9FL/+MGuf+TOaJ09Q/NpfsfrpT/bV\n260sVGnWDaKTLr/58u/xqVOf4z9c+kNiGZX5mSJGV0zaruuSf+hLXPm//09m//W/YvWTf7Kl9+lr\nxwSYuu9H9vLAu/chSfDqsX4zIbvVovDI11j/y78I1Be21cbqFCiX4xixFl9c+iK//donMC0VXasH\nmXq71aL63PcJDQyQfte7Sdx9L1I4hNuxsNttzs3MAjA+3lv4HsneiCn1AK9VqWDm14kcOBi02oLe\nYsnutnBcMaXHB9Q+E5ybsocwYo3Aqbm7No86PIwS7W/vEt4/gaRISJ0Q1UobywrRsCRibv8i7saJ\nfbi4tOriHIdGxHEr6gbA6xvZrCzTaIj9Nt01JhPjgWQTIJv15J4NGUnXCWX6HUV7jrqi5V252CI9\nGKGy9Biu3ebZdpf24N103SlSyQbtZVGCs7kFiDY6hqRpAcO7vlJDliWGRnqJu1BIYWg0QWGtQXVO\nJNtedOeZrl7h+ZVj/N7xP6ZhNNFGRjELeVzLolpuc/61VTLZKD/x80e458E9tFsmJ56fw7UswpaF\nfjBOSM+S2/c/E07so9uYZ1TVKfpOzSv96gbRkqgclGT40tI5y0ZLZ7DnPFVPXZTrjMSGcHFZb29V\nNgQMbyKM2VkjHN/FzEWvTdGI5zg8mMVpNbHbXmuUxB7kUJSItgi4SE2drm1scdEGgt7E7QvnqFXa\nxGNtopoNkXEkqeeCG/FMn4aHCmjtKNG2DfkSkf0HArfcyN59SHqY9iZzsXOvrtBsGEhTNUy9TVSC\nev4lFDWJIb+dV0/tBTlJPX+MytFnkGMxTu+PUN+uJ40XPYa3H/DWvU4GmbAoa/AZXqtSxlkT52tg\noIVsimvny5oDhlcfREmn+xheSZJQ1ERQdx1cm2aDti6TCm+WNG9geOMeO1zv/67rujw59yyPzjze\nl7jeHD3A66CFHDqdcF+nA0mSkNo68oBGwnIDJ2yj6SWgoz1m0qnXUNomhhHC7OwAeOfnaVotEqo4\nJi28vXTYl0mHra1lOtG4Rjii9s11ruPQOHmC2osvBMnPutEkZITJpGq4aKheolxR46jhHEm5gSQ5\nQWkS9Jj3q2F4pVCI0OQEgxWLQSUO1iwAyaGbeudGjpLLlgk3xXXa3JrIWPEdml+H4T10CEeCiVVx\nnKVCk3S6CdgBAw+gKTqnDRPJdWhVtlfTVpaepLTwDbThLvrPjZNKd9DtCB27Q7HdL7m2jDK4NgXb\nEb4+SYEBQubOiaK/yfGmAt56vc5v/dZv8Qu/8At88IMf5IMf/CAf+tCH3sxd/NCF4bnK6bEJoqlD\ngATNWYDAJGrxShlZlpiaypHSkhTbefJXvowSsimWUriOaCK/McykyAhluyIbV692sC2HzKBY4GTC\nKUZCCvcYV7j7/uc4fPgK7Uj/ACDrOsrAAMmKwXBUDCR+H9dsTPx31RELcr8voeN6zJy3yE/ecx8A\nK889jeXa3D96t2Cg5RBj0gSDA2Jw8CUbANEBIRsdHcmzfvoy7UsXiR25NVj4ACQfeAcAjWPHRGZ9\ndI37cg3CsoTVKbI+85/pNhcZGkkRsnQurc1ilssYqytEDtwQmHMl7hE1SLWXjlIttzHWS7BmAAAg\nAElEQVS6NqHBef7XZJR9NFDrF/lwKkZiQNRrrXmmKOXHvwWuS+7v/TyyrhO94RCJe+6juzBP81XR\namN9pYYdMkjFFd6lg7LwVT48OEIzuuBtq0b70kWcdpvYkZ6zshKNEt5/gO78HHa9TqNkYssWh9MS\n69P/mdLit3DtDrcMH8bQ2hQK9cApNbx7K+DVxsdR350DyeHYiZt4vCCjSxI/k0zwav4UrxXEAjHr\nG1etNVj7wmcpPPQlig9/laU/+P0AaNjdomCCov0sTHdpke5/fgSnY0NaI/+SSNrs1JLIdmx0rz1K\nsxWh0zYxlpeFDDGRYCQ2zJrlIJlVHNtAzQ1heZLKzaZVl8rTHNI0FMlkbn6UZr6FdUwM7NX15/s+\n699DTa+tRzSmYTkW8/UFxuIjRDwGPRNOI0dtJEemdF70og7v28/miB6+EVyX+oVj3JY2aTQi2LFf\nRI/voVO7xL2JHKVOmYbRZCArnkk/QWOsrTL3//5r5n/j3zD76/+C1HHPaCu0B8t0yOSiwX4GM2KC\nzWSqVw14C+s1FqYrtOJljg09Tn1kxVuc/9c1ddocc5fFQqmSWuEDB36Kf3LbP0QdFtfj8iXPuOnS\nJUqPPoKazbH73/wGkQMHabx8jNoLves55/VifVV+kbgW4z2TD9K1uyzFLmPbblBzX/3us5Qffwx1\neAR9ag/1Yy/19VA2TZv5mSLpbITT5jFeLj7F+N4khbVGwMY7hsHi7/5/lB59hMpTTzL/W7+Bsb6O\n4QGRUjlJJbHCnUO3EgmFKZgu0UiH2ctiMV1/6Shut0v6ne9GUhQkRUGO6riGTfO1V1lZEsd6496p\n4LhuHjyEKdtIkhhL2l5PdJ/d9SOyX4ydrm3gm7/vnex/PuNqjInhHIa3SHcxth0rlDExB7hVk1rZ\naw9mA1azrx/wSCKHrRuYpngmlQFPyhzqAeheH8sVqhWx1AiHLPan+vebyojyBcmKYWfTWxJpQpqc\noru0GPgZ7N5Vol09z4LlcNkN85N7f4xETswJhwbEQttfgPshKQr6xCTd5SXMTofieoOBXGxL+43R\niRSuC8fPCNVHZtd+fucd/5b37X4XxU6ZL198WCSDbRszv875U+J5uv2+XciyzK13T5JIhTl1YomV\nmTnUg3EkWSKRuwtJUogNCBZz0KlT8gDvZuMqX2arBoB3CQeJddshksnirIhr022J+28kKsDbWmsr\nW+bXcLqeX4ce383l82s4kk1ywitPyYqFrhXImmXCif1ItEgmmujtONVujY6XLNCnetdQG58Qcunz\n56mW28GcHk5M9R1HSEuBkmNwoIrSkZhYE8+8bywGAmCE9+zBWF0JEq225XDyxXlCqkxzchVZkrGr\n58C1SQ6/nd37h3AchXLjMLg28sEQ6Xe9B9QQNWPnsdI3AzM3M7w1cW4HNQcTOZDzmoUCzpoAw6lE\nDQwZXCkwrvIBoBrOEkpnsKvVvgSdosaxzUaf6sNtNOloEkm9Xy0VU6MoktJnWuVsYngvlC/z8PRf\n863Zpzm6+vKOv9O//rYqzrdhRbY8Y7Ih5prJkBb0Og4MqzYAXqtWJ2w1aTSjWN0SrtsD2mouh6SH\n6S7M0zLbxHUvGaZtD3h9p+aMZGFsUiZIkkR2OE692qHb8czqvvgFlv/oD1j91CdY8jxcGmaDmK0R\nj7eR1f4kvB6bRMYhnqrRqvW2fy01vADO5CiyC2Mlm6i2QqerkcruCo4zktyPrpukPE+ZzU7NxsqK\nKE0Y3urQHPzeSIT1AZWB9RZWq0W50GJstOudp42AV+WMl8j1W+FtjG5jnnr+RUL6IO3jNSRN5pbD\nl5AM8ZwvbXJy9/0aCo7DYGQAKyoSL2r7h8MrZHO8qYD3iSee4IUXXuDb3/528Pf000+/mbv4oQvh\n2iehRkdR1Dh6bJKY3SAiiXYDnbZJfrXO8HgSVQsxFM2y121hG1WaZ22OHjuCYQ3SqpzBaPUWsi0P\naGTaYgDwF9kZb9GNY/EzsQhxHGxTYc/uJf5/9t47WrK7uvP9nFQ5h1t1c06ds9StnIWQhAARhACD\nwYAD2B5sBjOzeDPPa8b2MzPYxtgeByzGBGPSkIQEylK3ultqdbqd7+2bU1XdyrlOeH+cuqG6rrR4\nNu/ZzHp7rV5LS3Xuib+wv3t/93eXhWaRFaMliLOs0yqYEyGbKgEGTjFNTteZLZmL/SrgcgVbKZct\nVItmNN7W32/Whp0fR1INtoXW21QJBQuBoAlMSso62FZsYQzBQziUYvEVs2bNf+99DfdlbW/H0tZO\n4exp0okVto5OUNENkqGbCfe/GwyNlenvEY6YDlg2USE5VgdhG1plyW4P9sEhKlOTLE0sY7FUua53\nElkQCHTeT6jnYURB5s5IBZezSGwxi5pJkz16BCUSxblz99q5Am++HzDbLBQLVQq5KhX3Co96nJRT\nZ9DVAi16jvs7Cshyzcx0nanX5O3Y2fB8q2IyybOnEAoWOnsXyM1+n3L2Cvn4cWLj/8BWfx8VW55K\nQSM/ZQLyjY7IqqmuFcSAhcRcgFg8yIQgYPVtxS9obLXI/GT6OfP+671i47MrZA+/hKWtHce2HZTH\nr5B58QV0Q8eiNtK8Vi3+j18HXSdjGOBVqNazSw7H5vUlqUoGX13tuVCwU8yWqCXiay2IWp0RYpqG\nANTKyygtLZtSmmtajbn8Irsd5rieW4hQTOUwFsqkSyqOarxBzERyOpH9fkpVEzjLisRsbp6arjLq\nbmP5ymPMnvqvJKa+i99vZn8Xr0wBja1J1r7TiPmdgphO0/lL/Xj8fvwd9wCwRTSdp7n8Ak63FcUi\nmcJVxSJz//2PqS4s4Np3APvIKHa3gaEbqDHz3a1SoMGsgSsZIgF/hpX4z7YZPXPMbD+yfUeM3whH\nGR28iGItc+aV+X+2InJsMct3v/oaX/2ro3zl7w7zoxdfJllqFuqoJZNkDr9E/szpJhXUiSsxDEHH\n0SpwfeteLJKFu0ZvoGotMj+VRlU14v/0dQCiH/4I1s4uoh/+KILFQuI731qL7s9OJjFEjS0tWX7V\n42B/cYyPtfRQ9piO2txkCq1YIPGdbyHa7XR88lN0fPJTKOEwqZ8+ucYoWJxNo2kGUuQ0PanDDGRP\n0tbxJBalytVLJgBI/vD7VGam8Ry8waz9z+eJ/cOX1+p3U2kP7jaJD2x9hIcG7iNGBUGAlUUTkORe\nfQUwhX5WzZCAmkHmtVdQUxKGYNDWtk7/cygO5Hq7uWQ8TWncVKO1XQN4lUgE0enEQKNaM+fU1u5G\nNgLA1vAwxdXvbpew9fQ0HSN6zTmmxnKk6vXraj0ItFFhVhAEFKeBKjjAF8CQTCesIcPbWs/wLsyz\n2q7aJQr0+Rqvuwp4y4qHlHfz9cLa3oG6skJiPoXdViYSOIWOxI8KJW7uuAGrZCEY7SKZ8hD0V8Eh\nEfc316FZu7tB04hfnEHTjDXhq40W7aiL72VM9+jhGz+EQ3HwQN89dLs7ORE7TaF+z5XFRa6MmbT6\nvuF6dkkW2XdjD7pmcOLoJNIWN4YODr8JdO2eQUDEVl42Kc1Adb7REa1uUGjW9Rq10jJZ1Ub3+esZ\nmwtRTClgCGsBl4jTXI+XCs2tXFYzfJq9rjivRsislMl744TcptOv1HuqbqQ1273mehcOrWAtO8lW\nc1SmppC8PhT/OlgQRBHH0DBqcoX0UmoN8Hq9690CVs3mGUAUDRxGio5YXcV/aKTxmN4+Uxm3Dq4n\nLsYo5Kps3dVGQcjikh0UVk4iiBacge20dvgQRYHxKz6Moo601YPn1htxWVxr4G0zk7xes3a5KcNb\nRlE0fBKURMcaiFJXElDUEHQLTofpt8k1hUxd0KtWSSBIVkTZaWYPDQMtuz5nzBIgHb2+HxmahlCu\nULKK+CyNWhOiIOKxuMlUsgiyjGC1NdXwbhQhOpt4fe2cVSq0URd11HRH0zGyYY75TotCbjXDWwe8\n1g2AV8tmsKoFCkU7YDSuCaKItbOT6tIilXwBp72CpsmI8ua97iXZQUlQaJUkVkrNivarrfyS8TzF\nixfIPPcMlrY2HFu3Ubp8ieSTPyZXzROtLxlWV0fD31vrlGlvcIVqfn0PWi1f+1naEgEUu825FV1J\noSg1svlIgxCn02cGHP3WFBjNvXirS4tm61DL67PdymqF6VYFUTeIHT9tirkG6iKdGzK8iqiQMwyq\nlhCVwsxaSyEAQ1dZmfmBeS+t98LRBPmFEl53Gr87DbrAXL4x2F0r1QGvphOyBVAt9V7q+f/nApK/\nCPZzBbydnZ1kMv/6NWK/SOaN3Ej/rl9CrtdD2ryDCMAupw+7bGe+TmdeFdNosYfYa5NBkDGOLgEC\nc0umA5RLrEf5ck7z07oLdbn0OhV5lVaZix/HLcLRcpXEcw6qVRnRON0ADgCK9ch9a715dyZVwu0u\nI+hl5lSdpXpEuTw9heR242sNksp4wCii1bIIoohr/37kqsa2uLwWidY0nXy2RCiQJanpPL2wfu+C\nICA7BpBlDU1YwdbX1yCusmru/QcwVBW37SKKonK4XGWgZRd2zwCu0H7UygphvwnibUUPibMmRXij\nMimAqw42Fy5Ms3VkAptsUPLuwBXag8O/hVDPQyiCwNatl1hcSJE7fgw0Dd/tdzTUy1rbO7ANDFI8\nf47FS6YjMtS7gE0v4gruoWPHv8cdvp6gLDA6Ok58OUv+7GkEi6Uhym3eo5nRmz41hlVR2dE3gyjZ\niA5/BGdwD7XSMm2VOap2c3NamU0gOpxNwmOGoZPPnsRQDa6cb0EXNHa0jxBsvxMQudnpYio7w0J+\nCYtVxuu3sxIzo9Chtz1M9AO/jGCxkPzR90kWVgjWH3djS6LyzDTFC+ewj4yStliQBJBHze8lJTfP\nJibLKQL1d1co2inEzFYsq4A34mxhqU69rRaXUAJBanU1242U5rn8IoKhExE0BDlIoeiglDXH8HRN\nQgQKqXMN17a0d1ARbDjq7ZImMlNIwE51nkp+BkGyUkydZW/nLGCQj2WRPB7kUHNNsK23FzHixNui\nkCo4iCf8eHx2LPYWbJ5BnFqBsCQym5tHEAT8QQfplSKxb38LdWWFwH330/axX6P1Nz+OELFiLFeY\n+d6zAGtsDKj3OZbd2Kw1quUUqvr6FDYAVVNZulpgZHiCEfcyTi3PDrvEDYdOUC4mmZtKoZVKxL/5\nDab+4+8x9dn/QOI730Irbk5l0nWdI0+P8+0vv8bZ1+ZJ5/Nk4xVmDlf4q3/8Ia9ucL5SzzzF1Gc+\nxfLf/y0Lf/Z5Zv7r76Nm6/T1fIXkcpGCe4U3RbuIXf4SC+e+wKAWQw+tYKgCM8fHKE9exbl7z1o2\nUwkG8d12B1omTe7YyxTzFVZiebbsPMetTgURDVF24K7GeFeHhmIvMHU1TuonT6AXCgTuux8lEECy\n2wk9/C7QNJI//hEAM1eTeNw5DrQvIQoSOclD2FZjx/ZLTFyMoVcqpJ97BsntoeV9v4T/7ntxbNtB\n8cI5irGLGAas5BzcufMgoiBysHU/FdkcW4VsgvJKktKli9j6B1ACJqA1DB1QwZDIj41hK3iwekFR\nJDaavQ4gi/kS2fHJtQzYRhMEAXtfP0igVkVUS5meUHO92JC/nwLmuFEd9k2DY3o9QFObiZNM5lHl\nypqiq1ptzFy43RYQBLKhyBpVcyPgtbaZGZzcQoxCwZyzLlGg39vTcB6bXcEiQ1HxMGvfXJBttRQh\nMTXDnl3nEYUqR1WZvCFyqN4uSVEkkpl2BAEYdvFcpVn4yNphOsHLE+a6FIqs369ay6FWM7hC5r1q\negjB78PqMI8RBZEH+s1A1phYb503vUwuW6GrL9Dw7Qa3tOD22iiW8oh+C5WKC6nu+Iuy3XRiKwlU\nm0jNKjdRmqvLJtNBiUaolWKATmrejzMfYDEBr0XvQajaqJaWMXR1bV/dTLhqFfBocgYEiekp8/ky\ngSWCtlXAa47LVeEqAJu7HxCIRFNYSy6yiUXUVHLTQMkqyyC9lCQYSJPTwWYPNx3nCZn7nEuJ0R6r\noSoStu5GldlVuvQqffrcKfNbbd3TRr5aYMhqRatlcfq3I0pmEDHS7iG2VKJyKougiJTKl/FYXOTe\nAPAKgmCWysQba+1zmTKBcAlBEKhu0KlYbdskSwEUuYzVWkFSrWSrWQxDR60kUaxB03+pZw831vFe\nK1y1utaWrSIea3MfVZ/VS6aaRTd0JJezCfBeTk/gVByEbAGupCab6jNXTSsUEBQFwahnOYXmII8s\nmt8/ZJXJ1wroukaluIhsDTQAVi2XxaYWKBbrQbBKsuE81s4u0HWssTIOe5ma5uKNrKr4sYsCiexE\n02+r+186WVora4t84EO0fvRXkdweUk88TiGbIlJvPeT0NjI6VnsH+/1Z9KqwlilW02kQRSR383vY\nzJLtXlQRbHq9ttloBNY2dy+GAQFfCkvZ2SBcpRUKpvDdNboE11pJLXGp23yn8yfM4IXTkUKQbMjW\n9SCoRTL3lbzNPF9+5bW13zJLz6NWVnCFDyDkZARgbtZcz/t65pBVhflrAO8qwzSm6YTsQaqi6WNJ\n6Z9Nv+IXzX6ugFcQBN785jfzyCOP8P73v3/t3/9vr2/5wyeY+dxX1noDVqxmNGnEYg681XZEq4C3\nTxFwiyLlmh+lXMEha0xPOZEsXoqpMfS6KtuK3Vz8bLn1mgCAQMiBYRgUkqfREThariAvLjB+tQtR\nqJFPnGi4v7TPnGCBjIphGGTTJdrazEhxWrARK8ZNKfqVFazdPXj9dtJpcyFZrTsqbDM3sB1zxlq0\nNJcp43LmkCWNmCFzZOF4w0LhDZtZWEeHgf/eN2/aWsC5fQc1yUprdImqKrIg+dZqw7zRmxEEGUk7\njSDo2IpujCuTSC53kwroana1XFqmrTXOkmow0L2eUXb4RqnZ2wn5cwTcS8SPnwRBMFsyXGPem24G\nw2Dy1XPYbGW2hYpIihtfxz0Igoiv/U7KkouutjioMcrLcRxbtjb1Z7P19CDa7WTn0vR2zyOJOt7W\n27E4ogQ67kW2hSgnTxEJm985m9ew9fQ0vadS5hJaNYMQU8irblSlzP7oLmSLF4d/C25UemSJE8sm\nDTscdVE1JCq+Npw7diL7fHhuuBE1mSRx4igtktmrTbGvA97UT580x8g9b6Immou22Gku0vrFs03v\nCEzA65dEVEOhVlPIJ1YFa0zAa5UsVCRzs6yWlhAkCd1qboAbKc3T2VnaZBEJA6urx/yOxaopJuXv\nwzAM0onX2GhSaweqZMEumc7/1cw019kUZDWPK7SP9m2/hdXVg0eJ0d4ao6pasPUPbDoGBVlGvNGc\ns1cnu3A4rWuOryu4B4BtFpm5OpXIHzKVmpePnUJpiRB88CEAVtIXEQSBuM1FXjLnj3D25bWaOgDJ\nblKiAt7sWi3969nJ6Qu0WKv09ywgW4O0b/skUnAfTovG/j3nOHvsCjP/5T+TevLHqOkUtZUVko//\nkOn/9Nk12uKqqTWNx795ltOvzGHzisxueZXzu3+C5+4MFh/4lzv5/vNHuJqZJvPi88S/9hVEh4Pw\nO9+Na98BKlOTJi1eVet0ZoMdI1O05M5RLS6haUUKiVd50+giilLj0pE6q+Ouexruw3fHXSBJpH7y\nBLNTKdpbY/S1pMEaom3Lx2nb8nG80VtwCQb79o5RzJZYfvEYotNp/m3dXLv3YGltI3vsKLVUiqsT\ny2zdMo4oQLTvXYxu+wQJbETCKSRjhsXnDqMXi3hvvQ3RYjHpdm95CESoqQlyeQclV4mtYdPpFwWR\nNp8J1K2WMtMvnQTDwL3/wNo9GPWeubLDQ9EwVYojbc39Kl11R1gUdVZieazdPZv2crT29yNIAroq\nI3uNNWX+jdbhaqMk1gGv24mtq7mdxSqorc4lKeVUqtYiXmdbw2+rFrKY4zzhcKGpdWGkDaJVos2O\nHAiQSeTRNJmqJuCTlDUF2lUTBAGXRaOkuJmzVxvqzNRqhtTck9T641je0U448jQ+bx7dNsSLuRW2\nBIfxWNYdV41edB2EYS8nV86xUrrWITfX/lURsHDUjVpNs3zlMRbGPs/CuT8lMfWXtPdOUrIGsLU1\n7hUj/kEijjCv6ebeNr9gzsOOnsa6Y0kS2XOwi462OjXZ0ZiVN7NPBt1WGxmfpUmpuVYHvJZIlGpd\nxTaXd5LcfpEdW3yUFTcrK04wNKqlRfw2LxZRYam4GeAtgEVAMzJYHe1cGosjSAY5f4xgXbxSXqM0\nr2faJNmO1dmBz53FLogUJurB400CJausA11PY7GoLBvSpuul1dlOTVXwueL4sxrJVtda/e7aueqA\ntzR5lWSiwNJcho4ePy6vlYJaZEtdDMkV2rP2N6v+UXzShYBCPn4cj+Kkqtco18q8niktLejlMlq+\nXodb0ygVa3j99VIGy3oWcDX7vVp76vPmzF68lZw5NwzdFIAC5HoGvEGpuT431gBvblU9WcBraQZf\nXqsH3dDJVQtILneDaFWmkkWbs9N7+QDdRv+m9ZmrphfySC4Xlno/b0FqvpZi92HkVLw2UHWVXH4G\nQytjdTaCyFpmY4a3GfDa6mUEwYyGJOnovDGotNT37FKmWUHYFzCvkVxYoTB21kx89PUjOZz477ob\nvVRCePUUQYfp89rcjXNVsvgQZCchTwEwyNW7VKjpFLLX1yTu+XqWNArMtyjIQdB1Yc3PWDVRtqMZ\nIfy+HO6SuyHDW10yAaUl+saAt6iWSXllCq1+kktZFKWGJOSwOtob5tGqUn7WEkKUneTir6CpRSqF\nObLLR5AsPnytt68J6qUtdsq1EOFQinbJ00RprhYXKBmA7MQmWylXTH9SiP/vqb30cwW8H/vYx/iL\nv/gLfvu3f/v/NZVmXdf57Gc/y7ve9S7e9773MT3dTMP9RbJibIVTcSdnnz6LYRjMVQokNZ2QUULX\nasxcTWKxyrS0mgtHuGYuuulFc/HyeWSKhRpW9w4MvUYxbYo9xKzm73JdnS69UkSUBNxeG9XiAmpl\nhbwlhFAxcORXmJ2LoOlms25jQ6RwyWn+tzNVpFJWqVY0goF6zYolSEEtkrpqRtJtPSbgTaVNh2aV\nbjXrUkl6JPyT8TUHfmOtTziwHdXQ+OnM82vXteKjVpXwtZXXWnBca9aubrTRVmy2KhNpOwOB9Syw\npDhxhfZiaDm6u+I4Cx4suRL2kZGmhU6JRJFbIkT7TCdj1tqGIjU6lR3db0E3YKh/mni8gGN0C7Kn\nOSrr3rsfwWolsZRneGAKSTDwtt6OKJqBA0EQ8bbdCcDQwDQFiw/n9p1N5xFEEfvgEDXBTnfnAoZg\nxxXcVf9NxtdqKjrviZjvs2jxbOqI5GKm0rNY7aAm25GlMv0+8zh32ATsu60WTsVNVcyQ1dw8CgN7\n196T77Y7WXZ2c+ZwgRZRQpOca89TS5kZb0urSTUy6hkeTTadDH18DL3SnLVJlpL4RAGjvvmWMuY4\n3Sjdb7NHqBkG5YKZ/VAtDgRDQ1DXe6ROZWfprgv4OLymo1Sp6iihMJ2hYWZUDcrLDdQrrZ79shpl\nUzE4M8VemxVBsuFruxNBkAh2PwhIDA9NUrE5sfU1U0TBrNuSIqAnKizNh/D411s+2T39CKKFYYvC\nXM58htWSgrzkMhkC9XvPZky6aqljmGr7EKKhUfnxd7j62x9n6rOfYfZzf4TzRbNswO/PNPSo3szO\nXJlgeHAKgGD3g0iKk7bON7Eo+fG4C/hcJ8klcvjuuoe+z3+B/s//GYEH3oKaSjL3x39IsV6Tr6oa\nP/72GInFRQa2LhLY+TT3tOb5d6193OvXePBNAm5PmZbpYZ59/Css/8/HEF0uOn/30/jvvpfWj/4q\n7oOHqExNknz8h1y8OM9g/wyj/hKKPUrbll+nY/vv4AofwCGV2bvrHOmcjLWzq4nVoQQCuPftp7qw\nwNUz59gyMoFqCLT1vwdJNqmHnujNOAO7CDgrDA1ME9c9eG+8qYFOJoiiCaY1jcWfPIvPNk/Al0N3\ndOHwDiKKIq3dD2IYMNg/zfjR8yBJ+G65bX1s9vZh2zWIIEEq7aWz198AMgdDdfqqvczsBdN5cNV7\nOAPoWh3wunxkbKaT3NfV3ELFXQ/gSaJOXvFj36SOHMDaa4JXTRPXasWvNUmUsLjM3zSfB9HW3J5M\nq5jUt0rVZlJmbUVa6vNKqzQ61GHBBB5xRUHfJMMLpqOXL5vHFVQzWLuZOfQihiCRcbi4nDazPWol\nzdKlvyUXP4YmpRH8CrWaxKUrvVyymAG3je2NAFxWCytJH9agjFuEZ+deanxP7R0gCCRzOoIAfr/A\n8uUvU8nPYHX1ULO3Y9Gr7Bqa5ebbTlIbcVArr6ztiYIgcGP79SRdYIgCS1nzeTb2bV+1wS1+WqNx\nikUr7vC+xvuoA4l+q524R2xSaq4uL4MoogRDpGLmProklHC1Cuw92IG9mmEmYQYVq4UFs1WUs4VY\nMd6U6dPzecRW81tXtAjZdBmprYwuqRsyvHVK84YML5gUZEGAUDBFqR583xTwdnWBouDwmL5BWtx8\nDAqCSKEUwWaroIeczLc0B28Uvx/J66MyNcnlMTNgsGVXK0W1hFsQiApVLI62tRpQgEjA3I+ygSFc\nLXvR1Dz9kvkeMpXXLwFRQmYWuhY3nztXr991uc2/Ea3rrJ7V+mZb0JyDJuA1M7xqvUWPUhcD/Vky\nvKs1uaV6hvfqpThPfHuMy+fMZ14XrjKVmo1qdW0vvTQzQ8fVnRB3oJ8OgQFLxWY6O5gBD9HhxF4X\ntpIszYE10eFAj1VQZHALArm02b5qVWVbN3S+NPZVLs+ewaoWKK4B3sY1YVX1Paya+5ogNV9ro4Xq\n9exypfnevQFzDCVnYmAYeA7esP7bzbeCJGE/PU7AU6RUsa8pGa+aIAjYnF04FB27vUw2be73ajr9\nMwlWrVqqnGai344lJJJKu/GFmue64uhGFA16RGtDDe8q8FR+hgwvQG73IHmLD/nS0tYAACAASURB\nVJ93VXW6kamjiHWRO13DE7kBQ68Sn/gaiav/BBgEux5AlCwU5s0SNyMcpKwNIwiwz2llpZxau5ZW\nK6BVMyzUVMJ2c5yXiua+JK4soVd/9l70vyj2cwG8n/70pwE4cODApv82HvMvtaeeeopqtco3vvEN\nPvnJT/KHf/iHP5fz/mvZZaGLqcBOjpzK8drLM8zk5hmvqYjoxBcuks9W6OrzI4oiaiWFUl5mTtUo\nzZqR2GCLuYiW1R6ANcC7JBbQRNBTSTPLlSzi9dsRRXG92N09gDevIaJjEQSWlqNotSyl7JW1+5u2\nmxuAEEus9fF0O5MIkg1HvbYjPW5e09bdg9NtJVdwYxgClXoNyEx+nkvdNgRVo3DSzLalk0WCAROE\nbO24haDNz+GFY6TrTcjTT/2U9JIDm71KpdDcsgHqNSPbzOefWNEZ8Tc6g+7IIRAk+ntnUSpOdETk\noWaHURAEjD0jhEIZYikbHeE9TcdY7SHiahiXq4Qw5MFdF+O61kSbDeeuPQh+Cx3tMWRby5pIyapF\nQjtYLllpCaeotfqa6nfXztXXg2tERFE0nMHrEMT1zKbdO4RijxKSV3A6ixQVbxNFsZCZpVKYxeYZ\nYKGeLfVLrDnmFkcbsi1Ev0UiVYqRKqfx5c1vlrKtO99LJStjrbdRsPuxSaAa6wt+5tmnTXr3XXcj\niCLSakRcN7+jpZxrajEBUCrFkQQBue4glOvtaFYzvAARV4S4pqOWExi6hipZkbUq6oY6s+ncDL2K\nAgg4PL0oFpEqCpbWVvq9PVyoq/gUN9Ca1boSoaWUI1FK0kkZh2BmZMV6oEO2+HCFr8duq+IfVsm1\nbr5BZpdfQhCg+FoZEPF41+lfgihj9wziFQWMSpKqVsVfj1oX7UE8h9Y3cL24gGYYeNx9ZAo6/hY3\noYfeiqWjEzWdpnTxAvrLF9FrBgF/lsnv/pji5Uub3pNu6KjJNMFABtHSvUbtEgSB4cFHyWZEOtpj\nlG/dSfid70ZUFESLhdBb3krrR34VvVZj/k/+G7lTJ3nlmRdoDz3H7bccZ7jjCrvtEr2yiFKJUUyf\np5R8npuuP87ereNEL/swJIn2j//W2ncUBIHIo+9D8vqIP/kkSm2coYFpdMlJS/+jyFY/giDhb78H\nu3eEYCBLcLSG5eZbN80Q+W67AwMIeC9isajkPSPIG1qvCYKAv+NeaoKDvp45qh1BvLfc3nQe9/UH\nEZ1OJsfGGRmaRNMFOnoeWvu9NTBCAjc+b56824Z734EmJ8l+nQnIU2kPB3c0Ai9/Pdtgt5dJlOQ6\nnXk9C2jo5nivOZ1k64B3swyvItUZE6JBzup/3cCLtct0jDRNoqutZdNjACJ1cRztddTT1WoaETul\nunOuuATcdWBxbYbXXjCzO0kk1LoTL17jdFqirZTqoj95HSxoDeJXa+eqZ6cqkodLdUX91PwT6GoB\nX9sdtI98kvJfT/Hc8/tJ5UY4nTyHKIhsD11TnqLlWFw2QcxOm4sjC8cp1tZZEqLVitwSIavb8Qed\nZBYfR6tl8ERuwt3zMH+XWORvsmXSiVZEUUeOxlm88EVmT/0X5s5+joXzX2SkPM2ozULOY2fF8OAL\nOnB5moMHlex5ZFlndj7KlcuNjIzV9ilRWSJWT4Kt0poNwzDr/sJhU60/Zf7/q54FAjY/Fq+H3tQZ\nMtl6a586LTHqaKGmq001hFohj9hqrjsz0/V+yK3LCAj464BX8ngQFKWhhhdW642hJZyktlIXvaq3\nd9pogixDzwiBoAl4S0qg6Zi1+8GcG3qvl4mQsamegK27m1oqxcSFZWRFpKs/SK6aZ7vVpGqusmdW\nzbFwCVHXSDvb6oFckR4thQRkym8EeOuZ7YRJUV9VaHbacmiGgXUDk6mWSCB5PNg8ZrDC580hq2aG\nt7YGeK/N8K7PmdVgkFbXwVilKOt2KysLBZ787jkmryR4+gcXmJtKrrHV0pUMossJwjo9feLsCgIC\nggS1rIA979uUzm7oOnqxiOR04kDDMMBi2wTw2u3odYXgXkWilq+rcbtMn+Js4jwnYqexlzVEsUyh\nTmmuXUtp7ugEmxV/XZ1btrwxsAy42ohrBn69jK41ZuLtDgWLVSKTrn+TDX6S5HLh3LoNi6piUVTK\n1c3Hm61exxvwZ8llyuj5PGjaz9SSaNVSlQxGnwtBgHgigM8lNR3jbTHnSZdNaFBp3th54o1sFYSq\nu0Yp2oMEvOYctjoaAa+lrmNS1Wu4wwewe4eoFhfQ1Dy+9nvMtmdAccHUlpCjrQjKAJWqQre1gAQs\n5M3gwqrg3aKmbQC8NWRBR0Rv6k/9v4MJxj9XvWSDXXfdddx+e7NTsdGeeeYZjh079i+9FH/wB3/A\njh07ePOb3wzATTfdxIsvvviGfxP/GUVe/jXsRz85j/DUT5j3DlOV7FzuP0lrZJn3uB2cn21l8vwg\nMxKkRLi1f5JD3bP8IF9m8MdpemJF/mHwUdoMhXkRHjp4goCjyJ+8eD3qtqf54PcTSFWFLw28i60q\npAWYVXQ+ceNRDEPgz06MMmx/hvsOZ3m652E8foObDp3kYizEd8a2AAbizif58P+Ko2k2vt33Dobl\nCnfceowriQDfmvcgdo1x35MGgytx/nrgHeQVJ8M1uOP613C5CnzuhRtg+DC+SpYPPB5n0tnOd7vu\nokM3eOTWI+QqFv7q2H6EwCxi91mMdATLlS18ePzbLO/exeDBJEeudvPcVDP9zm2t8BuHjpHOuDk6\nluSkejPojaInbxq+zO72JU6cGqXrlZf55ug20tW+pnN9aMcJIqECrx638ZPyTlCb+8f63Ct8bO95\nqkWJvzy6m5K4uRhDb22Cu/fnCQYyfO3kdqZSzRHBLR0XeGgoTnLexl9dOrDJWaBdOc8jB9IIosGf\nHrmOqtYowjIUSvDwjvPMzYeZONHCaauNvLJe9/nglotsi8b4+qltVKtLhFJbcJaucmRDb8SD3TPc\n1j/FE4UyJ8dHeejkBRZChygoTs7JAgIwrIJiGOy2vkz7bSpnxrv44UwPsl7jI1e+iS4I/O3AO1BF\nmUDbFT42ssjUQpizZ4a5a+J/ct7bzxNtNzXc+8DWI7wzovLcRBeF8R5c5Ti7Fn7CF4feA3WgIwRm\nuXf0MrutCn93fA/RFRsOtUBMTzPh7gaphm3HT/lNn4ulrJsvn9jNtqqKQ6tgzV3gxZa9OLY/zcdD\nCvG8iy+9sheAgKrTaYhE0uf46bCHD20bJyRJfPHIAXKVdcfVIql84vrjiKLOX15sIRdvzDj6bCU+\ndv0rJHWd/NdqnIvcxZIIyxv2w5FwnLdtv8DhUpXnT++jL1bEbW3DWo5z3B1eu86/u/kIC5rGPx65\njtGSg6QAsxs+t2joWLUq7zp4lDa3yCs/7Gbb9LO82LKXVwPb1t4ZAPYsb29fYLgrxrfPjHIpsV5L\n15eb5cHMi8jv7kaSdB57dTfLhcasXHd+nrckn0e/rRtPt5kVmKlpXMzLzE6Oksn7qWkCDkuVHn+a\ng+0zhLxlqlWZV2fLPDd9K9fGUkfT49zomCJ4t5WaLvDYq7tYKTZe1y0V+diBE4hW+KexLiYTzXMe\nw+AD+jO03aWwkrPx16/uwTCaxYm22Wd48OAU+byNL762HU1tnqs3Lb/KwB6J1uEcR+bCPHd5tOH3\n3sgCj2wdZ3a2hZ+eCbBkbwSSD+04yZZQjsPPbuGw6kWVNq49Bp+69UXyOTsvH9kN+cucDK6Ds1Z3\nlg/uP8XRuIvC8V6qooszsoAmNT7L7QNXub5rjpeO7ECPq5yy2Rvm+Kr57CV+7eArzM5F+PbFAYpi\ns1MGsKN2hvvvSbO07OFL5xqZMxZJ5XduOcJMzEX1yTKXWg4x0zJDKtXJp259iVjeyWOvrgON++Zf\nZL7lJvLeRe7cOYNN0vnTlw42nHNn8iJRQ2HJ00/vTc+xxSHyxSMHyJQ3AETD4OGFl7nScoj5josk\nQ/OEpw/woQMnmUl7+MprOwGB904+ztmO+0hJKvN7f4KRDaJPNJaVHEyMoYaHuPPWo8wVLXytmkSf\nH8aIrQcK7l48xnLoOizeJHddP8ZM2sNXX9sJ3acQA4voC0McOlemHBwhHJnHGi7itlZwKCp2pYbT\nYrKnimmdY2evY76oMKNcOwYNfnn/CSLOAs8/u5Os6uOCDNqGafrrh44hy1W+d2WFtz2T5mhwB0da\n9uCu5fmV8W9x2d3N4+238ZuHjmII8IVSEn1xAGNpiF+/+BWOdb+V2+85Rbps5a+P70OIjCO2XUab\n2AfZ9bH67qkf0f0mBSFi48lnbqCgSYzvfAYE0M+t+20fmPgOdq3CXw490vAcn7jhKIoA577npiN5\ngb8dfMemY+tg6iI3PrhCRYUvzPgx5rdsely7WOP9t7xMOQZ/Lueojd0NWuO+fSh+km3ZaY51PURa\ngGkZBFeCX9s7hg2JL7x0sGE/fHj6CeL+XaTsEcZkgTuHxtnXucDRcpVnz23HyDSzJwB6c7O8de5p\nXgzv4ZXQDgI6dGoGd9/5EmlU/uaV3VA0Bah+8+I/ELMF+Hrv/XzsuldwW6p85XyU5dAiD8pBtkTi\n/MWR/aTLdrzVLB+a+A7nvP08Wd/7Qs4CH7nuBK/NtfLE5UG2pS9z9+IRntwTppJ7M04DFkRo06Eg\nwER4nvb+s9wl+2h1VM1StLJCquKgmnVyeSbCVU2mp+xguf0yy9YKxmxjcN2mlvm1K//IFXcXPY8o\nyKrClw9fT/KaVFeonOSXEo9jfX8XNcNAEQQmkz6+fsrsmCH2vorgi/HRbybIOC2Mhd7NHbcdoVBT\n+B/H9jec663zjxPcGaBlR5XvndzGudTrBz8ADu05zK0+jR9f7uXkXCMtebBm4DR0ts/+gH/of6jh\nt+HMVe4KXMJzi5OjF/t4ZqGxthYg4sqZ68hslGcvDlGpJXn/5Pc55R/hmejmSYtrTdz2NPe5JHY4\nRA4f3ok6O87hlr1moqQOn2RR45M3HSFXtPNX1Tj6mXvAEHnL7NP052f5i8F3U5ZtCBgYbFIater/\nTm1n+3IHh/a8hr+lwOdfOEhJ3TA3HCmk4ZfRl/swFkYAgzZPjlJNIVVa3+PeN/VtvLU8X7zhEN6l\nQe7um2Sgb5YfFsqcnRjGSHRz96A5R76aKzIzM4CxPMCWGihahTsmv873229j3NO4BwsIPHBDD/dd\nv8ne/G/EwuHXp9E3ewr/DPtZsrermd5/qeXzeVyudUdJkiRUVUWWX/9R/H4Hsry5A/CvbUPbO1l8\nOs1Q/BXOR28mmoqy6M1RcSj0hpNcxcATceOVYHf7MhVVYaIEBwoVyoodZ4sPlguE7AqLxXZaXJc5\nMJDlZVEn77DRXszT7bNCooLVZeH6zjQOReXCSi/tvijelTrNxSqRzdlIl9wMhlcYbLdRMGosizpp\nt4OOeI6IXSbgNqM+WS1Ci9NNAmgtZikrdgIdUQKCgBgvks6Y2ZHt3RpjtjwlKUzSLdCdX2QgoNCi\npVFkjUQ2TFfUg8EWEpUlqr5lbtSLWAyVxUIL/XqKkUiKq+XtTe9ue+gyggCzs1G6Y1OsjDQ3OJ8p\njbDLWKK/d5aFi36MLoOufCMVOWxPEgkViCf8eCcW6NrZLLYB4MnXWJgO0tGb4LqtOa6mNt9EQ06d\nYCBDbkECpZ2uaPPYtC1bSLW4CbTn2F4SyFSbJ2lXpILFqjJzOUg03LxplHGTLs/S1hpn3NOBN+wj\nIJiLnkMusSUSJ112U7O2UbMuQgqC1Rxd0fXnT2n9GMYUWy0Kl4NJOspxSuUFysoQ/R4bclnDotYo\nea24rQnARyXnojvson/hDDa9yvmeA7S1mfdXUcIYxgJuewVDkSlZnPQX5+mKuGAD5TPkNLMFoiWE\nIYAhSORcIbpa16PPVSXKsnoBrApb2lWSKQlZr9JjrVGLeihblvDKEpIAqVoLXVEPltk4NdGGNRSh\nK+plpdbClJqg311gW5dIturCmqtAukKgssJIm0aLLHE1G8Tvb2FjaELUVGYvBejfEePG3hTnpMZx\nc33rJKIIR4pVol7TwQw4wepbP64qOFD1iwwqEmORKgcmL3NJaaHsDK59hzZXDFGA2ZpOhzMApTI2\nj5UuT3PQZQY7bVQQ2u2UllzcHDtBm1Ll1OAta++3YF2gK5ymqkpUlB66ouba5yhnufPKS+i6xrGr\nfm4aSfDOnRd4fOpmavVAkYDOoN+ONdyFImukU06ujMc4GdyNvTyA1SbSsgGriFkD+fAk8Z3t+Pfo\nHOqXCUfO8trc9WvnBLNdVqBrEQM4Mu7D6WnDeU1FQP/cJJnDVUJ3KtzVv8ST8laMa4CzLKr4e2zo\nus74WSedkc2dqb7LcZbHnUQGCty17Qrnl25sOiYf7SYyeJFS0cJUdg9d0Uan21bUqOav0tqawJFp\np0tsvOFOb4FKRcERT3AoUGQq2pjlLah2HLYyuihT6dpCl3v976NOky5mWKuUZS++UoxdHjtx/zX6\nAnbzZTuNDIvWDgIdPgKbZL7djjpNTZfod6tk3Ju33Oi+oqLrYLHqDesAgM9aV9yX/JQtZomBzeqm\nK+qlWHMQcFQa/qZtaoVFXUWqOXBZaxSrzqZzytZWSvEKoJPDdA77W2USpfXjrNUi3kkzU+QshUhZ\nrnJw0NxnJrLDdEXrma6k6dBaXGaWy2f04Lrmej3LCS5URllJe+n0Z3BXZArRGaLiDgTMeVAum+fZ\nNWDS/i6ktxLsyZDyL6JUg4SFXXRpP+BSdZj5pR4yYuPa7FIKjLaeYNiX5dB1pzh+dhjsPQ3HhOwp\nou4i2kQRW2GegtXHgN1Cybc+ebJVH522ZUp1Om6PkWYu6qE1bmYbK+E2hn0SdnuVhYz5nAF7AGfU\ng3bVRlt+nEzWRdCfoa/VQc4aJsll/GEVt2P9vbjmVMSIi1TBg65JaAErgqWMpdpCeMP7qy77CCRn\n6A3Z0OR1BsBSIcpAYBZLyErWiDZ941Wzu/0oSozlmITP5sH9esfl8qZ/EM6hZAVCrTKK2nisLnUQ\n1+pgwm+ny6nQEpjGK4mcz3ka9kNZrdJxcZmcJ49AlF6fnYnCdgZrCa63QXhkgXRepKbJ5KpOlotB\nqIMOpzsKc9AuV1iOerCnyzi0DIpkEKvotPp9KB4PtkoeCR3V46cr6iFT8RNwLhCSFOK2Mp3uAhVV\nweNrwYOAqDlgAkJide19Wer6FmGvOfeiFaP+rC04DajaZOxhB9V4EWdZZdDp4n6XHatQJbei4Kxk\nkQIW2r1ZRF+W1miM0uQNGFPgzAaw984Suuadu4omrVtyOXDKVdJ5G36fHdc13RMcZTAmVTKzOt5O\nc82dyA3XfTONRU8SpeLGVosRs2rogk6xZMfnydMddTeAuJQWocVt+pWiLfC642XVpvJRdO8cB3sW\nSKmj6BvWfOdCAkOzEI8MN52nFhpFsJgljflaaNPrCLio6ifx+7N4LBKu+vSTff6G4yVBRRJ0qnoj\n80UXVBaVCn1WN5WqTDWpc/3KGMWuYVZ8jVnblayPFn8KT8yCvV1AUT20TOWoKDYiHWH2Rs8x5J8m\nVfbw/Ow+ihuCsHmnTAaIWP0ggNtXRE/X6HHKFOzr91mTNWKA2yXhW7t/L27Aveo6GTqBSwUSPomA\n04fX72BmLkp/7yy7rQpTgQo+2cNQS4aqLrCg6gTtQRwRN/JcDkEx33+vtUL1mncqAN3tvjcElf+W\n7ecCeN/61rf+PE7zM5nL5aJQWFcS1XX9DcEuQCr1xgIv/5o22Opm6MMPc/GPPsecfACSrbSMyjic\nBlr5IqNbJW57YB+F5Bgr01Xc4esYFmdxF69i62/nd9+/l7/9by/S6bVxz823sXTxMjcN5Xl5DhzR\nACTy3DMU4HBikftu6iXoepFSBm47dBf3OKJ8/4++AsD+PV0cfSWOy7UNSXuZj9whMidF+PNT4Oxq\nhXiObSErdodJVb3vpkPcLnv4P59+ClepgmPbDj7zXjOD9tJPr5BcmIeuRe7drzE2bnBD3whD9yok\nvvkNPtxb4VTadK4O7tnHnX7TUVwp9fKFFz/PyPRVDJeTGx64mZXZZcKhFJ96R7/Zx69uhqGzcO4F\nKiWJxLyd61YK3POuHWs1kRtt+rVxfN45pvt9hNpL/O6+RjpUbPwrlHNwZbyTnalT/O7dnU1qxwCJ\n736bl8cUWrtE9rdO8q5739ZAMwZQtRoXjj+JYUD5aJ5ff0jEvbeZIr302ElevRzEfyDHO/cnCffc\n0vC7YWhcOPE4miaSO2/w739ncFNVwey8Rjr2BL39Swxsa+dQn3mt1PxT5GIGfUO3cnevwRNP1jfb\ncozfe2RXQx3z8pUJOvNT9LCMotXY3m9nOSHgTJoUo1DExVvft5sTzz+OB8hlXbz95hDiqyfAbuf+\nT7yXh+r1zFPZELnLp3DYynS2eYiE95J98QV++6Bvrf5QN3R+eOx/ATLvvHMf35ydoFyz0b9riEOP\nrr+rklrmc4fNtmZ3bFf45piAolW4ucvCOx7dw0+mniWzaDqxt193kPs8fXz3T59kqSTxwAMH8IwM\n88xMngszT9CvyLzvRgNv6x6OP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MLSIM2o+H31M3vJkQCc0wtsb0VJJ+uMKxKXKgKEe55L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\nNtbxgHIkQChgCD1iQ6XZaDOenubv6k2ekTMs+cmR4YhIyO0AXg0tJ