{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import adcc\n", "from pyscf import gto, scf" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "converged SCF energy = -76.0571904154805\n" ] } ], "source": [ "# Run SCF in pyscf\n", "mol = gto.M(\n", " atom='O 0 0 0;'\n", " 'H 0 0 1.795239827225189;'\n", " 'H 1.693194615993441 0 -0.599043184453037',\n", " basis='cc-pvtz',\n", " unit=\"Bohr\"\n", ")\n", "scfres = scf.RHF(mol)\n", "scfres.conv_tol = 1e-12\n", "scfres.conv_tol_grad = 1e-9\n", "scfres.kernel()\n", "refstate = adcc.ReferenceState(scfres)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting adc2 singlet Jacobi-Davidson ...\n", "Niter n_ss max_residual time Ritz values\n", " 1 14 0.39135 1.5s [0.42513831 0.50590019 0.5059818 0.58483322 0.65566604 0.74712915\n", " 0.76426908]\n", " 2 28 0.013426 1.4s [0.29512418 0.36981007 0.37674447 0.4528981 0.54751869 0.63327043\n", " 0.63888939]\n", " 3 42 0.00037195 1.6s [0.2944929 0.36753152 0.37534001 0.45005037 0.54562195 0.63209821\n", " 0.63769807]\n", " 4 56 3.4634e-05 1.8s [0.29448216 0.36746578 0.37521223 0.44984749 0.54547344 0.63193585\n", " 0.6375989 ]\n", " 5 70 9.4546e-07 2.1s [0.29448182 0.36746378 0.3752094 0.44983771 0.54546393 0.63193085\n", " 0.63759499]\n", "=== Converged ===\n", " Number of matrix applies: 140\n", " Total solver time: 8s 428ms\n", "\n", "Starting adc2x singlet Jacobi-Davidson ...\n", "Niter n_ss max_residual time Ritz values\n", " 1 7 0.014401 4.4s [0.28228808 0.35677177 0.36353882 0.43995009 0.53537904 0.61680728\n", " 0.62868375]\n", " 2 14 0.0040087 4.5s [0.27868225 0.3533497 0.3595459 0.43633214 0.53216524 0.61157475\n", " 0.6255099 ]\n", " 3 21 0.00035123 4.5s [0.27795349 0.35277147 0.35881959 0.43571915 0.53151265 0.610253\n", " 0.62495499]\n", " 4 28 6.5036e-05 4.3s [0.27786543 0.35270143 0.35871258 0.4356038 0.53142691 0.61014039\n", " 0.62485118]\n", " 5 35 1.6608e-05 4.6s [0.27785588 0.35269586 0.35870035 0.43559008 0.53141433 0.6101313\n", " 0.62482164]\n", " 6 42 3.9341e-06 4.4s [0.27785506 0.35269559 0.35869932 0.43558885 0.53141285 0.61013052\n", " 0.62481454]\n", "=== Restart ===\n", " 7 14 7.0219e-07 4.5s [0.27785499 0.35269557 0.35869921 0.43558868 0.53141263 0.61013044\n", " 0.62481315]\n", "=== Converged ===\n", " Number of matrix applies: 98\n", " Total solver time: 31s 40ms\n", "\n", "Starting adc3 singlet Jacobi-Davidson ...\n", "Niter n_ss max_residual time Ritz values\n", " 1 7 0.0065045 8.8s [0.30766171 0.37989246 0.3899041 0.46360558 0.55137138 0.63738607\n", " 0.64655262]\n", " 2 14 0.0011243 8.3s [0.30496765 0.37733362 0.3872384 0.46098356 0.54962477 0.63490646\n", " 0.64453702]\n", " 3 21 0.00030729 8.0s [0.30438559 0.3768414 0.386693 0.46030024 0.54925434 0.63444585\n", " 0.64402302]\n", " 4 28 6.5818e-05 8.0s [0.3043287 0.37680166 0.3866366 0.46021292 0.54922069 0.63441703\n", " 0.64391612]\n", " 5 35 6.5588e-06 8.3s [0.30432329 0.37679956 0.38663105 0.46020415 0.54921711 0.63441506\n", " 0.6438919 ]\n", " 6 42 1.1205e-06 8.2s [0.30432283 0.37679946 0.38663055 0.46020324 0.5492167 0.6344148\n", " 0.64388927]\n", "=== Restart ===\n", " 7 14 2.3924e-07 8.0s [0.3043228 0.37679946 0.38663051 0.46020317 0.54921665 0.63441476\n", " 0.64388878]\n", "=== Converged ===\n", " Number of matrix applies: 98\n", " Total solver time: 57s 565ms\n" ] } ], "source": [ "# Run ADC (2 and 2x for comparison)\n", "state_2 = adcc.adc2(refstate, n_singlets=7)\n", "print()\n", "state_2x = adcc.adc2x(state_2.ground_state, n_singlets=7, guesses=state_2.excitation_vectors)\n", "print()\n", "state_3 = adcc.adc3(state_2x.ground_state, n_singlets=7, guesses=state_2x.excitation_vectors)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+--------------------------------------------------------------+\n", "| adc2 singlet , converged |\n", "+--------------------------------------------------------------+\n", "| # excitation energy osc str |v1|^2 |v2|^2 |\n", "| (au) (eV) |\n", "| 0 0.2944818 8.013258 0.0385 0.9438 0.05623 |\n", "| 1 0.3674638 9.999199 0.0000 0.9449 0.05514 |\n", "| 2 0.3752094 10.20997 0.0992 0.9429 0.05707 |\n", "| 3 0.4498377 12.24071 0.0524 0.9447 0.05534 |\n", "| 4 0.5454639 14.84283 0.2498 0.9563 0.04366 |\n", "| 5 0.6319309 17.19571 0.0000 0.9476 0.05241 |\n", "| 6 0.637595 17.34984 0.0704 0.9524 0.04765 |\n", "+--------------------------------------------------------------+\n", "\n", "+--------------------------------------------------------------+\n", "| adc2x singlet , converged |\n", "+--------------------------------------------------------------+\n", "| # excitation energy osc str |v1|^2 |v2|^2 |\n", "| (au) (eV) |\n", "| 0 0.277855 7.560819 0.0356 0.9268 0.07321 |\n", "| 1 0.3526956 9.597335 0.0000 0.9295 0.07049 |\n", "| 2 0.3586992 9.760703 0.0936 0.9258 0.07418 |\n", "| 3 0.4355887 11.85297 0.0492 0.9292 0.07076 |\n", "| 4 0.5314126 14.46047 0.2444 0.9421 0.05792 |\n", "| 5 0.6101304 16.60249 0.0000 0.9235 0.07649 |\n", "| 6 0.6248131 17.00203 0.0708 0.9386 0.06139 |\n", "+--------------------------------------------------------------+\n", "\n", "+--------------------------------------------------------------+\n", "| adc3 (adc2) singlet , converged |\n", "+--------------------------------------------------------------+\n", "| # excitation energy osc str |v1|^2 |v2|^2 |\n", "| (au) (eV) |\n", "| 0 0.3043228 8.281045 0.0378 0.9428 0.0572 |\n", "| 1 0.3767995 10.25324 0.0000 0.9449 0.0551 |\n", "| 2 0.3866305 10.52075 0.1000 0.9418 0.05822 |\n", "| 3 0.4602032 12.52277 0.0570 0.9438 0.05623 |\n", "| 4 0.5492167 14.94495 0.2533 0.9526 0.04741 |\n", "| 5 0.6344148 17.2633 0.0000 0.938 0.06197 |\n", "| 6 0.6438888 17.52111 0.0776 0.9497 0.05033 |\n", "+--------------------------------------------------------------+\n", "\n" ] } ], "source": [ "# Show results\n", "print(state_2.describe())\n", "print(state_2x.describe())\n", "print(state_3.describe())" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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G1aA9Uf/lMb3WkfHUOGwWG9w2d2Gs1evAWEy76ggALvFHZBIGbSIioukWG6neNgIATj9gdRgK2uqqI353eeuI3+GHEKIw1uZxaFtHXGwdITITgzYREdF0i41WX3EEAITIr6U9UvdW4XgaTpsFLru1MKYG7VKtXofmZUi1h5tBm8gcDNpERETTLTYMeNpqn+PtMNY6EkuXtY0ASuuIJmh77Bir6NH2O5Vz1Jcniai5GLSJiIimW73WEUAJ2gZehgzHtUE7kozA5/SVjak92qW787msLtgtdgZtIpMwaBMREU2nXE5pHakbtDsNvwxZurQfkG8dsZdXtNs8DqQyOcRS2cKYEAJ+h7+wSgkRNReDNhER0XRKhgGZLa6VXY2nw/A62rqtI87K1hH9TWv8Tj8r2kQmYdAmIiKaThN1NqtRedqAdAxIJ2qeFo6ny1YckVIikooU1tBWqeeoywEWxh0M2kRmYdAmIiKaTvV2hVSpL0vGa28mU1nRjmViyMqs5mVItb0kohe02TpCZAoGbSIioulUCNp1Vh1xtyo/awTtTDaHaDKj2awGQCFoP7DvAewa2FU4JxxPY9fALjyw7wHlPLaOEJmGQZuIiGg6qUG71jraQEnQHq16SiSRAVC+K6S6y6PaOrKqfRVu2XELjkRfBADsHd6NW3bcglXtqwCwdYTITLaZngAREdEpxWjriLt+64je9utqaFZfhlzXsw53bLgD/7DjH+DoWIMn+nbjn9/xTazrWaec5/AjmooiJ3OwCNbfiJqJ/4siIiKaTrFhwOYC7J7a5xloHdEL2pWtI4AStj9w1gfg7NyOpe7LCyFbPU9CFq4jouZhRZuIiGg6qWtoC1H7vAaCtvqi47d3HELU3g+g2Dry7KFhPPX6/+CZ0KNIjVyC18R/YdfAnxUr2iW7QwacgUn/tYhIixVtIiKi6RQbqf8iJAA4vIDFrgTzKior2uf2BvDQrlcBKJXqZw8N48bHH8W2kTtwx4Y7kA6tw9ni73DLjluwa2BX4TyA27ATmYFBm4iIaDrFx4rV6lqEUAJ5rYp2TNl8Rl0j++LFHXj3uQFACvzrb/qx5eE9uGp9Fndd9g2s61mH8+Ytg0guwR0b7sC+kX3KtWrQ5hJ/RE3H1hEiIqLpFA8BXWcbO9fd2nCPdsCbgcPixt2/PoybLluCmzdcXnx0bgSZeBvW9Vyi2zpCRM3FijYREdF0io8BrqCxcw0EbZfdAqfNWhg7PDKEVNoFAPjhzjfx7KHiNu4HI3/Q3RkSYNAmMgODNhER0XSREkiEALfRoF2ndaRiV8hnDw1j55vHcVpAWTrwnuvOx5aH9xTCtrDGqwdtto4QNR2DNhER0XRJx4Fsqtij/T93AkeeKT/nyDPKOGCool0atP/QF8aZ3Rb0+JT7X7y4A/dcdz7+0KdsYiOscUQSaeRysnCN2+aGzWJjRZvIBAzaRERE0yURUn6qrSML1gCPfaQYto88o3xfsEb57g42FLT/dsNiCEsCfocf//rhtQCUsP23GxYDADad9W5ICYznd5QEACEEd4ckMgmDNhER0XRRQ7PaOrLobcA131fC9fYvKT+v+b4yDigV7XQMSCd0bxeOZxBwO8rGIskI/E4/zunVrom9tH1B/jpt+whbR4iaj0GbiIhousQrKtqAEqrX3gA880/KTzVkA8X1tqtUtSMVFW1AeanRZ/dh/Ze3ac7//1/YCkAnaDtZ0SYyA4M2ERHRdFFbR0rX0T7yDLD7fuXz7vvLe7br7A4ZiqXKgnYqm0Iimygs2adhjQOoUtFm0CZqOgZtIiKi6VLZOqL2ZF/zfeW72kaihu1C0NbuDpnO5jCRypYFbTUsqyuJVBIWJWiH4qmycbaOEJmDQZuIiGi6VLaOHH+h2JO95vpiz/bxF5Tj7uqtI5HCZjXFvefUoO1z+PDBdadprnnPkksBsKJNNF0YtImIiKZLIgQIC6C2dlzyqWJP9nu/pfxc9DZlHKjZOlLYFdJTrGiPp8YBKMH5K1efq7nm/7zt1rJrVX6nH9F0FDmZm9Rfi4j0MWgTERFNl3gIcAUAi86v3++8TTtmJGiXto7k2z/8Tj+uuPu3mms+/PQH4bBZdCvaOZnDRHrC6N+EiAxg0CYiIpoutbZfH3hRO+bwAhY7ENP2aOsG7ZLWkX3Hta0g+0f3I+C2IxzjNuxE04FBm4iIaLo0sv06AAihVLXV1UpKFIN2cR3t0taRagJuu27rCMBt2ImajUGbiIhousRD5Uv7lWqZpz9eZXfISI2Ktt/hR5fPqbmm092pH7RZ0SYyBYM2ERHRdKnVOnLLa/rj7tbiaiUlQjH9Hm2X1QWH1YFdn3uH5prtm7cjyKBNNG0YtImIiKZLrdaRX39Ff9ylX9EOx9Nw261w2Iq/ysfT44XQ/M3/PqC55t6999asaKutJ0TUHAzaRERE00HK2q0jO76qP16jR1uz/XoyUui3vmvb65pr7nvxPvh1Xob0OXyF64moeRi0iYiIpkMqCshs9daRatxBIB7WDOsG7VSkEJqrCbjtGE9mkM3JwpjX7oVVWNk6QtRkDNpERETToXL7daNcQSAZBnLZsmG9oD2eGq+54ghQ7OkeTxSr2kII+Bw+Bm2iJmPQJiIimg6V269X+thv9MfVVpNEeVU7HE/Dr1PRVoP2z7dcornVI1c8UgjalX3aPoePPdpETcagTURENB3UPutqPdrVqBXwihciI/E0gh5tj3a91hF/laDtd/hZ0SZqMgZtIiKi6aBWtKu1jnz37frjhW3Yy1+IrGwdyckcoulo4WXIK+/5H82trv3FtaxoE00jBm0iIqLpoFakG30Z0qWtaKezOUyksmVBezw1DglpuEc7Es+UjbOiTdR8DNpERETTYdKtI2qPdrGiHa6xK6SRVUdK76FiRZuo+Ri0iYiIpkM8BFhsgMOrf3zDrfrjOj3aekFbDclqRfuTG5dqbvXx8z5eNWj7nX6uo03UZAzaRERE00Hdfl0I/eOX3qY/XmgdMVbRVoP231++THOrG1ffCJfdArtV6L4MmcqlkMwmDf11iKg+Bm0iIqLpUGv7dQC44yz9cZsDsHt1W0dKl/dTq9Fq68i6L/1Kc6vLHr0MQoia27Czqk3UPAzaRERE06HW9usAED1R/Zg7WNY6EqnROhJwBgAAg+PayvRQfAiAEtAjiSrbsPOFSKKmYdAmIiKaDolQ4yuOqNytuq0jpetoV7aO1BJw2wthXaVexxciiZqHQZuIiGg6xMdqt470nFf9mKu8oh2O6fdoW4UVbpsbALBqgTZwL29bDgDwu7StI6xoEzUfgzYREdF0qNc68jfPVD/mDpb1aIfiaXgcVtitxV/j46lx+B1+iPzLlr/4xJ9obvPolY8CQO0ebQZtoqZh0CYiIjJbLgckwrVbR568qfqxih7tyl0hAeUlRnVXSAC47Yk/aG6z9dmtAKq0jjj5MiRRszFoExERmS0ZBiBrt4688GD1Yzo92pqgnY7AZy9uVvOjXcc0t3n89ccB5IN2IgMpZeGY2jrCHm2i5mHQJiIiMpsakif7MqQrCGTiQDoBQAna/oqgPZ4cL6to1+J325DNSUSTxW3Y7RY73DY3W0eImohBm4iIyGyF7dcnu+pIsOw+Eb2KdipSd/t1FbdhJ5oeDNpERERmM1LRvvnV6sfUlyjz99FtHUlFypb22/nZjZrbbLtmG4Bi0I7EM2XH/Q4/K9pETcSgTUREZDYjFe2BvdWPFbZhV16IDMfTCJYEbSmlJmi/1BfW3OaVkVcAFHeU1Ft5hBVtouZh0CYiIjKbkYr2j66tfkytaCdCSGVyiKWyZRXteCaOTC5T1jryVz/YrbnNJ7Z/AkD11hFWtImai0GbiIjIbM3q0Y6PFcJxwKPdft3wy5AutXWEPdpEZmLQJiIiMls8BFjsgN0zuetLerQLQds9ue3XgWJI11S0nX6uo03URAzaREREZkuElKp0ftdGXVfcWf2YMwBAlFW0/TpBu7R15MvvO0dzm89f9HkAQIvDBosAIgmdinZ6HNlctt7fiIgMYNAmIiIyWzxUfw3ttR+tfsxiAVwBIBEqtHuUVrTVdo+AI1AYu2796ZrbXLPsmvztBPw1tmGPpqO150pEhjBoExERmU2taNeyNVD7uDvYUOvIwlv/Q3OLcx4sVrn9Lm3QVivifCGSqDkYtImIiMxmpKJdjytY1jpSuryf2ldtdMMaQAnq1SrafCGSqDlMDdpCiHcJIV4TQhwUQtyqc9wphPhx/vhOIcTC/Pg6IcTe/J8XhRDvM3OeREREpjJS0a7H3QokQro92mowbjRoV646ogZtVrSJmsO0oC2EsAL4ZwDvBrACwAeFECsqTrsBwJiUcgmAbwL4Wn58H4C1UsrVAN4F4DtCCJtZcyUiIjKVkYr2snfVPu4uVrS9Divs1uKv8EgqghZ7C6wWa2Fs49ldmlts6N1Q+KxX0VaDOivaRM1hZkV7HYCDUsrDUsoUgEcAXFVxzlUAHsx//gmAjUIIIaWMSSnVfWFdAKSJ8yQiIjJPLgckwvUr2tf9uPZxdysQDyEU099+vbKaff9HLtTc4p6N9xQ++902hCu2YA84lT5xLvFH1BxmBu0FAI6VfO/Lj+mekw/WYQDtACCEWC+EeBnASwD+tiR4FwghPiaE2C2E2D00NGTCX4GIiGiKkhEAsn5F++EP1D6u9mjHUmVtI4ASjCvX0L7h+89pbrFl25bCZ3++dUTKYi2LFW2i5jIzaOstFlpZma56jpRyp5RyJYALAdwmhHBpTpTyu1LKtVLKtZ2dnVOeMBERUdMZ3RXywNO1j7tbAZlFKhbRrWhX7gq57dVBzS129O0ofA647Uhlc0hmcoUxj80Dq7CyR5uoScwM2n0ATiv53gugv9o5+R7sAIDR0hOklPsBTABYZdpMiYiIzBLPB+2prjqSD+q5+Jh+0Da4K6RKvUdpn7YQAj6Hj0GbqEnMDNrPAVgqhFgkhHAAuBbAkxXnPAng+vzn9wPYLqWU+WtsACCEOAPAWQCOmjhXIiIicxitaNeTD+oiHtIGbZ3WkXr0gjagrDzCoE3UHKat5CGlzAghtgD4TwBWAA9IKV8WQtwOYLeU8kkA9wN4SAhxEEol+9r85ZcAuFUIkQaQA3CjlHLYrLkSERGZxmhFe2u49nF3KwDAkgwh6CkP2uPpcU3QPvrV92hu8dL1LxU++136QZsVbaLmMXUdbSnlU1LKZVLKxVLKL+XHPp8P2ZBSJqSU10gpl0gp10kpD+fHH5JSrpRSrpZSrpFS/szMeRIREZnGaEV79/dqH89f786Ol1W009k04pm4pkf74Z1vam7x2IHHCp8LFe2YtqLNlyGJmoM7QxIREZnJaEX7F5+qfTxf0Q6IibKgHU4plfDKivZnf/oSKt3++9sLn9V7RBI6FW0u70fUFAzaREREZkqEAIsNcHindp98UA8iWra8n9rm0bQebScr2kTNwqBNRERkJnVXSKG3om0DHF7kLHZNRVutPle2jtTjcymvaVXr0S5dX5uIJodBm4iIyEyJkLEVRz74SO3jQiBj9yOIaHnQrlLR/tcPr9Xc4u7L7i58tlktaHHadFcdSefSSGaT9edMRDUxaBMREZlJrWjX07O67ilJewD+yop2laB9Tm9Ac/2K9hVl3wNuOyIV27Cr9+HKI0RTx6BNRERkJqMV7W+cXfeUuLUFAei3jqjbp6vWf3mb5vqNj20s++5323Ur2gC3YSdqBgZtIiIiMxmtaBswYfEhKKq0jjTYow0AfpcNkSpBmxVtoqlj0CYiIjKT0Yq2AePCh6CIwWYt/vqOpCJw29ywW+w1rtQX0Kloq5VxVrSJpo5Bm4iIyCy5HJAIG6tor7m+7ilheBEU0bKxatuvf3DdaZqxTUs3lX0PuO2adbTVyng4WWenSiKqi0GbiIjILKlxQOaMVbTf+626p4zlPPAhBuSyhbFIKqLbNvKVq8/VjG29eGvZd1a0iczFoE1ERGQWo7tCAsB33lb3lJGsR/mQKFabIyn9ivYVd/9WM7b555vLvgfcdsRSWaSzucKYGrTZo000dQzaREREZknkg7aRivbAi3VPGczkg3Z8rDBWLWjvO64NyvuixGv/AAAgAElEQVRH95d99+vsDmm32OG2uRm0iZqAQZuIiMgsjVS0DTiZdpXfF9V7tI2oug27g9uwEzUDgzYREZFZGqlot8yre8pAIh+0ExUVbZ0e7S6fUzPW6e4s+64G7col/nwOX2F9biKaPAZtIiIiszRS0b7ltZqHE+ksBtUe7fx907k04pm4bkV71+feoRnbvnl72Xe91hEgX9FOs6JNNFUM2kRERGZppKL966/UPByKpRGRXuVLvkdbrTrrBe1v/vcBzdi9e+8t+x5w2wDoBG2nnxVtoiZg0CYiIjJLPAQIK+BoqX/ujq/WPByKpxBGPmjnA3ytXSHv2va6Zuy+F+8r++6v0jrCHm2i5mDQJiIiMou6K6QQU75VKJZGCnZkre5C60ghaE/xZchIIlM27nf4ueoIURMwaBMREZklHmraiiOhmFJ1zrmCxaBdo3XECKfNCpfdortpTTQdRbZkYxwiapzhoC2EaBVCrBRCnCmEYEAnIiKqR61oG/Gx39Q8HI6nlA/uYKFHW23v0Gsd+fmWSzRjj1zxiGbM77IjHNO2jgBANB3VnE9ExtlqHRRCBAD8HYAPAnAAGALgAtAthPhfAPdKKX9t+iyJiIhmo3gIcLc25VZqRdviadP2aE+yog3U3oY9koog4AxM+t5Ep7p6lemfADgG4E+klGdJKS+RUq6VUp4G4KsArhJC3GD6LImIiGajRira3317zcPheBo2i4DFE9T0aAcc2jB85T3/oxm79hfXasYCbjsiCf2KNvu0iaamZkVbSnl5jWPPA3i+6TMiIiKaK5rZox1PI+ixQ7hagfgeAEqPttvmht1qn/R9A247TkQSZWOFijaX+COakppBWyWEeJveuJTymeZOh4iIaI7I5YBEuGmtI+FYWlklxB0sax1RQ/Fk+d12vHayfCk/teebS/wRTY2hoA3g0yWfXQDWQalmX9b0GREREc0FyQggs4Cnzdj5G26teTgUTyHocShBOx0DMkll+/Uq/dmf3LhUM/bx8z6uGdPr0WbrCFFzGAraUsorS78LIU4D8E+mzIiIiGguiI8qP41WtC+9rebhUCyNeX5X8X7xUM2g/feXL9OM3bj6Rs2Y323HeCKDbE7CalHW+1bvyYo20dRMdpm+PgCrmjkRIiKiOSW/BB/cBivad5xV83AolkbAYy/2fMfHEElWD9rrvvQrzdhlj2r/IVrdtCZasmmN2+aGVVhZ0SaaIqM92ncDkPmvFgCrAbxo1qSIiIhmvZgatA1WtKMnah4Ox9MIuh3F+yVCCCVDOLvtbN3zB8eTmrGh+JBmTA3a4Xg+yAMQQiDgDCCcDBubOxHpMtqjvbvkcwbAj6SUvzNhPkRERHOD2jpitEe7hnQ2h2gyg6DHXlwuMD6GSCqCoHNqq5r4XUoUqOzTZtAmmjqjPdoPmj0RIiKiOaXR1pGe86oeUkNwsKR1JDkxjHgmXnVDmVULtC0ly9uWa8ZKK9pl4w4GbaKpMto6shTAVwCsgLLqCABASnmmSfMiIiKa3WL5irbL4M6Kf1N9xVx1V0hleT8lQIcmlFaTakH7F5/4E83Yo1c+qhkLehzK/dQt3tVxZxADEwMGJk5E1Rh9GfJ7AO6D0jZyKYAfAHjIrEkRERHNevExJWRbDXZpPnlT1UNqtTngtheCeyg2CABVW0due+IPmrGtz27VjLXm+7LHYtrWkVAyVH/eRFSV0aDtllJuAyCklG9IKbeCa2gTERFVFx9tbLOaF6p3aYbz1eagxwFYrIArgEi+B7xa0P7RrmOascdff1wzVqhoT2gr2mwdIZoaoy9DJoQQFgCvCyG2ADgOoMu8aREREc1y8THj/dl1qK0jwXw/NVxBhJJKD3i11hGjHDYLvA6rpqIddAWRyCaQyCTgsrmqXE1EtRitaH8KgAfATQAuAPAXAK43a1JERESzXqzBinYNhaCdb/OAuxWh/GYyUw3ayn0dCMXKK9rq+tysahNNntFVR57Lf4wC+Kh50yEiIpoj4qNA+2Lj59/8atVDoXgaQgA+lxq0gwinBwFr9daRnZ/dqBnbds023XNbvXaMxbStIwAQSobQ7e028jcgogo1K9pCiO8KIc6pcswrhPh/hBAfMmdqREREs1ijrSMDe6seCsdS8LvshS3S4W5FOBOH0+qs2tbxUp+2Ev3KyCu657Z6HNrWkXzQZkWbaPLqtY7cC+AfhRD7hRCPCSHuFUI8IIT4LYBnAfgA/MT0WRIREc0m2QyQCDfWOvKja6seCsXTxbYRQOnRziVrto381Q92a8Y+sf0TuufqtY6o9w6nGLSJJqtm64iUci+AzUKIFgBrAfQAiAPYL6V8bRrmR0RENPsk8uG0CbtCAkqPduFFSABwBxGS6SnvCqlq9dh1l/cDwCX+iKbAaI92FMBvzJ0KERHRHKFuv96slyHjaQTyy/Cp941YBIJ2X1PuH/Q4EEmkkc3JQnsKW0eIps7oqiNERERklLorZCM92lfcWfVQOJYqbJUOQGkdsVgRsFZfdu/L79O+YvX5iz6ve26rxw4py7dhd9lccFldCCVY0SaaLAZtIiKiZosra1w3VNFeW31Rr1C8snWkFSGrBQGrs+o1160/XTN2zbJrdM9tzVfLK1ce4e6QRFPDoE1ERNRsauuIp4GgvVX/xcZcTiJS8TKkdAUQsVgQFNU7QBfe+h+asXMe1F1IrHDvyhcig84gX4YkmgJDPdpCiGUAPg3gjNJrpJTchp2IiKhSoaI99Zchw/E0crJYdQaACYcLGSEQkM2plxUq2hPaFyLZo000eUa3YH8MwLcB/AuArHnTISIimgNio4CwAE7/lG81mq8yt3mLQTsklIAdkHLK9wdqt44cDB1syjOITkVGg3ZGSnmfqTMhIiKaK+JjSn+2pYGK87J36Q6PTSjht7UkaIctSsAO5nJVb7fx7C7N2IbeDbrnBr1q64h20xpWtIkmz+h/AX4uhLhRCNEjhGhT/5g6MyIiotkqPtr40n7X/Vh3eDQftNtLg3ZOCcTBdFr3GgC4/yMXasbu2XiP7rk+pw02i9Ddhj2cDEM2qXJOdKoxGrSvh9Kj/SyA5/N/tFtOERERkdI60mh/9sMf0B1Ww29pRTuUrzIH0omqt7vh+89pxrZs26J7rhACwSqb1mRlFtF0tPbciUiX0Q1rFpk9ESIiojkjPgb4ehq75sDTusOj+RcU2zylQVtZci+QilW93bZXBzVjO/p2VD2/1jbsoWQIPkdzNschOpUYqmgLIexCiJuEED/J/9kihLDXv5KIiOgUFBsBvB1NudVYLAWX3QK3w1oYU/umA/FIU54BqNuwa1tHSp9HRI0x2jpyH4ALANyb/3NBfoyIiIhKSakEbU9zXmUanUiVVbMBIJwKowUW2NQdKJsg6HFolvdTgzY3rSGaHKOrjlwopTyv5Pt2IcSLZkyIiIhoVktNAJkE4Gmwor1Vv2o8OpEq688GlOAbsDiAieGqtzv61fdoxl66/qWq57d67HjxWHlF259fnpAVbaLJMVrRzgohFqtfhBBngutpExERacXy4bfR1pHd39MdHp1Ila2hDQBjiTG0Wt1K5bzKiiAP73xTM/bYgceqPr7V40Aoli5bYaTVqaycwoo20eQYDdqfBvBrIcRvhBA7AGwH8A/mTYuIiGiWmhhRfjZa0f7Fp3SHx2L6QbvN7gNyaSChX23+7E+11evbf3971ccHPQ6ksjnEUsU6WsAZgEVYMJpoXosK0anE6Koj24QQSwGcBUAAeFVKmTR1ZkRERLPRZCvaVYxOpMq2XweA0cQoljm7888bAdzBKT+nLb9pzVgsBa9TiQcWYUHQGcRYYmzK9yc6FdWsaAshLsv/vBrAewAsAbAYwHvyY0RERFQqpla0p/4yZDqbw3giU1bRllIqFW13e/nzpqiwDXvFC5GtzlZWtIkmqV5FewOUNpErdY5JAE80fUZERESzmfqCYqOtIx98RDOkt1lNLBNDKpdCq6er/HkV/vXDazVjd192d9XHt7c4AQAjE+X/YN3qamVFm2iSagZtKeUX8h9vl1IeKT0mhOAmNkRERJViw4DVATgb3OClZ7VmaExns5rRuFJdblU3xInpB+1zegOasRXtK6o+Xt3ifSRavvJIm6sNB8YO1Jg4EVVj9GXIx3XGftLMiRAREc0JEyNKNVuIxq77xtmaodEJJfSWto6MJpWg3eY/Pf88/aC9/svbNGMbH9tY9fHtLY6yZ6paXa0YS7KiTTQZNSvaQoizAawEEKjoyfYDcJk5MSIiolkpNgx425tyK72grbZxtLX0AHZP03q0W5w2OKwWDFe0jrS52hBOhpHJZWCzGN1+g4iA+j3aZwG4AkAQ5X3a4wD+2qxJERERzVqxEcDTpKBd6NG2F8bUoN3qalWeU2PTmkYIIdDe4tC0jrS6imtpd7ibs5IK0amiXo/2vwP4dyHERVLK30/TnIiIiGaviWEgeEbj1625XjM0lq9oly7vp64A0urMB+0qPdofXHeaZmzT0k01p9DmdWhaR9pcbYXnMmgTNcZoj/bfCiEKi3QKIVqFEA+YNCciIqLZKzYyuTW03/stzdDoRAo+lw12a/HX9WhiFG6bGx67R3lOlYr2V64+VzO29eKtNafQ3uLESFTbOgKAK48QTYLRoH2ulLKw/6qUcgzA+eZMiYiIaJbKJIFkpPGl/QDgO2/TDFXbFVLdGh2ejqo92lfc/VvN2Oafb645hXavAyOVL0Pmn8WgTdQ4o0HbIoRoVb8IIdpgcFdJIiKiU0Ysv7HLZF6GHHhRM6S7K2RytNA3DW/1oL3veEQztn90f80ptHur92iPJJrz0iXRqcRoWP46gGeFED+BslHNZgBfMm1WREREs1FskpvVVDEWS6HbV77I11hirNDOAU87kI4BqRjg8Ez5eW0tDsTTWcRSGXgcSkQIOoMQEKxoE02CoYq2lPIHADYBOAlgCMDVUsqHzJwYERHRrFPYFXISFe2WeZqhkWiqbFdIoCJoq73gOi9EdvmcmrFOd2fNKXR4nYXnqqwWK4LOIIM20SQYbR0BgDYAE1LKuwEMcWdIIiKiCmobx2RehrzltbKvUkqMRFPoaHGWjZVXtPPP0Xkhctfn3qEZ2755e80pcNMaouYyFLSFEF8A8BkAt+WH7AB+aNakiIiIZqWJKbSO/PorZV8j8QxS2Rw6WooV7XgmjkQ2UezRVivnOn3a3/xv7bbp9+69t+YU1BcvRyo2rWl1tRaWFSQi44xWtN8H4L0AJgBAStkPwGfWpIiIiGal2AggLIC7tf65lXZ8teyrukNjaUW7bA1toFg516lo37Xtdc3YfS/eV3MK6rMqX4hsc7UxaBNNgtGgnZJSSigvQkII4TVvSkRERLNUbBhwtwGWRjoz9Q2Pa4N2Yfv10pch1ec2QbGirV3ijz3aRI0z+l+CR4UQ3wEQFEL8NYBfAfiXehcJId4lhHhNCHFQCHGrznGnEOLH+eM7hRAL8+OXCyGeF0K8lP95mfG/EhER0QyZGG7a9uvD+apyh6/YOqL2SReCtisAWOxN24bd47DCZbdod4d0tyGcDCObyzblOUSnCkPL+0kp7xBCXA4gAuAsAJ+XUv53rWuEEFYA/wzgcgB9AJ4TQjwppXyl5LQbAIxJKZcIIa4F8DUAHwAwDOBKKWW/EGIVgP8EsKDBvxsREdH0mhgCWromd+3HflP2dThao3VE7dEWAvB26gbtn2+5RDP2yBWP1JyCEALtXmfh2apWZyskJELJENrdzfk/EkSnAqMvQ3oBbJdSfhpKJdsthLDXuWwdgINSysNSyhSARwBcVXHOVQAezH/+CYCNQgghpdyT7wMHgJcBuIQQ2nWKiIiI3kqiJycftCsMR5OwCJRtWKMG7UJFG1CeFz3ZlGcCysojmop2/nns0yZqjNHWkWcAOIUQC6C0jXwUwPfrXLMAwLGS733QVqUL50gpMwDCACr/r/ImAHuklEkQERG9lUWHgJbuyV373beXfR2OKtuvWy2iMDYaH4XL6oLb5i6e2NKtG7SvvOd/NGPX/uLautNoq7E7JPu0iRpjNGgLKWUMwNUA7pZSvg/AinrX6IzJRs4RQqyE0k7yN7oPEOJjQojdQojdQ0NDdaZDRERkolQMSI0rrRxNMBxNlrWNAMBwYhjt7nYIUfLrs6UTiA425ZkA0O51airaHW5ldZPheHN6wYlOFYaDthDiIgAfAvAf+bF6/d19AE4r+d4LoL/aOUIIG4AAgNH8914APwXwYSnlIb0HSCm/K6VcK6Vc29nZnP+wERERTcpEPuxOtqJdQTdox4cLobegpVvpDc/lmvLc9hYHhqNJKIuNKRi0iSbHaND+JJTNan4qpXxZCHEmgF/XueY5AEuFEIuEEA4A1wJ4suKcJwFcn//8fih94FIIEYQS6G+TUv7O4ByJiIhmjlpVnmyP9obyxbmGo8nCTo2qkfiIdhv1lm5AZoF4ef/0Jzcu1Tzi4+d9vO40OlocSGZyiCYzhTG/ww+HxcGgTdQgQ0FbSvmMlPK9Usqv5b8fllLeVOeaDIAtUFYM2Q/g0XxIv10I8d78afcDaBdCHARwMwD1vzJbACwB8I9CiL35P815u4SIiMgMUw3al95W9nV4PKVb0das+qE+r6JP++8vX6Z5xI2rb6w7jS6fCwAwOF58NUoIgQ53B4M2UYOmvqJ+DVLKp6SUy6SUi6WUX8qPfV5K+WT+c0JKeY2UcomUcp2U8nB+/P+TUnqllKtL/jSvAY2IiKjZ1KDrnWTQvuOswsdYKoN4OlsWtNPZNELJkH7rSOnz89Z96VeaR1z2aP1tKbp8yjMHI+VrEHS4OzAU5/tQRI0wNWgTERGdMiaGAIjituiNip4ofBweV15GLG0dGUmMAECNoF1ejyqtSKuMBOUufz5ojyfKxlnRJmocgzYREVEzRE8CnjbAWm+bifqG8hvGdJZUtNWQqw3a+q0jk9XZorSODI1rK9oM2kSNMbphzT8JIfxCCLsQYpsQYlgI8RdmT46IiGjWiA5Ovm0EAHrOK3zU2xWyatB2tAB2j6aivWqBX/OI5W3L607D77bBYbNog7anA6FkCOlsuu49iEhhtKL9p1LKCIAroCzJtwzAp02bFRER0WwTHZzarpB/80zhYyFo+4qtI1WDthD53SHLg/YvPvEnmkc8euWjdachhECXz6lpPVGfq7awEFF9RoO2+u9gfwbgR1JK7sFKRERUamKKQfvJ4mJeg5EkhNCvaLe7KjdQhlJJr2gdue2JP2hO2/rsVkNTUYJ2RY+2i2tpEzXKaND+uRDiVQBrAWwTQnQCSNS5hoiI6NQRHZzaZjUvPFj4ODieQLvXAbu1+Gt6OD6MoDMIu14PuE5F+0e7jmlOe/z1xw1Npcvn0qw60unpLMyDiIwxuo72rQAuArBWSpkGMAHgKjMnRkRENGsko0A61rTt109GkoX1rFW6u0KqWrqb9jIkoKw8or6QqVKfzSX+iIwz+jLkNQAyUsqsEOL/BfBDAPNNnRkREdFsoYbcJm2/PjieKCyzp9LdrEbV0q3sDJlJNeX5nS1OhGJpJDPZwpjassKKNpFxRltH/lFKOS6EuATAOwE8COA+86ZFREQ0ixR2hZxCRfvmVwsfT0aS6G6oop3vDZ8oVpt3fnaj5rRt12wzNBU15JeuPGK32hF0BjEcY9AmMspo0Fb/L+17ANwnpfx3AI4a5xMREZ06xvuVn74p/GPvwF4AQCabw3A0ie6SiraUEiPxkcILiRo6u0O+1BfWnPbKyCuGpqK3DTvAtbSJGmU0aB8XQnwHwGYATwkhnA1cS0RENLeN53d19PdM/h4/uhYAMDKRgpRAl79Y0Y6mo0hkE7V7tIGyivZf/WC35rRPbP+Eoal01tiGnUGbyDijYXkzgP8E8C4pZQhAG7iONhERkSLSD9hcgCs45VudjCiLenX5ihXtwZjSmtLlqbJ8oNo6Mn5C/3iDCq0jFS9Edro7GbSJGmB01ZEYgEMA3imE2AKgS0r5X6bOjIiIaLYYPwH4epTNY6boZL6K3F1S0T4ZU1pCqgft7uI8mqDd64RFAEORirW08xVtKWVTnkM01xlddeSTAP4NQFf+zw+FEMb+/YmIiGiuGx9QgvZUXHEnABQ2iikN2mpFu9tTZVUTm0NZWjByvDD05fedoznt8xd93tBUrBaB9hb93SFTuRQiqYih+xCd6mwGz7sBwHop5QQACCG+BuD3AO42a2JERESzRqQfWLBmavdY+1EASkVb2RWyuObAyYl8RdtbY+dJ/3wl8Oddt/50zSnXLLvG8HT0tmFXK+pDsSEEnAHD9yI6VRnt0RYorjyC/Oep//sYEc1pqWwK297Yhr7xvpmeCpF5pCy2jkzFViW4DkYSaPc6YSvZFXIwNoigMwin1VntasC/QAn8eQtv/Q/NKec8qK1yV9Plc5Yt7wcA3V6loq62shBRbUYr2t8DsFMI8dP89z8HcL85UyKiuSCTy+Djv/o4dp3YBY/Ngwfe+QBWdqyc6WkRNV8iBGTiUw/aeYPj5Uv7AUrQrtqfrfL1AG/+vilzAJTWlX395S0iausKgzaRMUZfhvwGgI8CGAUwBuCjUso7zZwYEc28H+16E+ff/l/4yPd2IZbKNHTt4wcex64Tu7Bl9Ra02Fvwxd9/kS9Q0dzUjKX9SpyMJMpWHAGUYFu1P1vlnw/Ex4B0vCnzmBdwYTiaRCqTK4x1ujshIAqtLERUW92gLYSwCCH2SSlfkFJ+S0p5l5Ryz3RMjohmzp43x/C5n76Ebr8LzxwYwv/5xX7D10op8W+v/hvO7TwXHzv3Y9hy/hbsH92P3Se16/oSzXpqu8ZUK9rL3gVA6dHuqtgV8mTsZP2Ktn9B2Xw2nq09f0PvBsPTmR9wQ8ricoOAsjtku7udFW0ig+oGbSllDsCLQgjtWxVENGd9a9vraPM68JOPX4wPX7QQj+4+hmOjMUPX7hvehyPhI7h6ydUQQuDdi94Nn8OHnx38mcmzJpoB6guIUw3a1/0YqUwOIxNJzAsUg3Y6m8ZoYtRARTv//HzQvv8jF2pOuWfjPYano87hRMUSf92ebpyYaM4ygkRzndGXIXsAvCyE2CaEeFL9Y+bEiGjmDITj+PVrQ/jQ+jPQ4rThr992JnJS4vEXjL3U+NSRp+C0OvGnC/8UAOCyufC23rfht32/RTaXrXM10SxTCNrzpnafhz+Ak5EEpAQWBN2F4cF4nc1qVGpFOz+fG77/nOaULdu2GJ7O/KAStPtD5a0o3Z5uVrSJDDIatL8I4AoAtwP4eskfIpqD/utl5Zfoe1fPB6D80v+jRe148sX+WpcV/L7/97ig+wL4HL7C2Nt7346x5BheGn6p+RMmmkmRAcDdCtjd9c+t5cDThVDbE9RZQ9tbp6KtVtTza2lve3VQc8qOvh2GpzMvoPx9ToQrKtrebvZoExlUM2gLIZYIIf5YSrmj9A8ACYDrdRHNUU/vO4GlXS1Y3NlSGHvHim4cHpqo2z4yGBvEofAhXNRzUdn4xQsuhlVY8dvjvzVlzkQzZnwA8M1vyq0G8qG2J1AM7XV3hVQ5WwBnoGyJv6locdrgc9oKc1LN887DeHocE+mJpjyHaC6rV9G+E8C4zngsf4yI5phoMoNdR0fxjhXl1bMNyzoBADsODNW8fufATgDAH83/o7Jxv8OPs9vOxgsnX2jibIneAiL9U28byesPKxXt+SUVbbV6XLdHG1BWHmlS0AaUyvpAWNs6AnCJPyIj6gXthVLKP1QOSil3A1hoyoyIqHGxUSCXq3+eAS+8MYZsTuKiM9vLxhd3etHb6q4btPcM7oHP4cOy1mWaY+d3nY99w/uQzqWbMleit4RwHxA8ber32RpGfyiOgNsOj6O4zcVgbBAuqwt+h7/+PUqC9tGvvkdz+KXrG2vdmhdwayrahaDN9hGiuuoFbVeNY1NsRiOiKctmgMc+CvzTIuCBdwLx0JRvuevIKKwWgTVntJaNCyGwflE7nn9jrOZ62PuG92FV+ypYhPY/L+d3nY9ENoFXR16d8jyJ3hLScSA2DAR6p36v3d/DQCiBnkD5r94TEyfQ7e2GEAY2ZC4J2g/vfFNz+LEDjzU0pfkBF/pD2h5tgBVtIiPqBe3nhBB/XTkohLgBwPPmTImIDNt5H/DyE8Cq9wPHnwd+tXXKt9x1ZBSr5vvR4tRuHHvBGa0YnUjhjRH9Pu1EJoEDYwewqmOV7vHzu84HoFS9ieaEsPLiIQJNqGj/4lPoDycwP1hexxqYGECP1+DSgf75QPQkkE3jsz/VVq9v//3tDU1Jb9MatVecFW2i+uoF7U8B+KgQ4jdCiK/n/+wA8FcAPmn+9IioqkwS+O03gMUbgfffD6z7a+CFB5V/xp7sLbM5vNgX0lSzVRfkx59/Y0z3+P7R/cjKLM7pOEf3eKenE12eLuwfNb75DdFbWjhfNW5G0IaytGZpfzYA9Ef7Mb/F4MuW/vkApBK2m0CtrpduWuO0OtHmamNFm8iAmkFbSnlSSnkxlOX9jub/fFFKeZGUkqvVE82kA/8JxEeBi25Uvv/RjYCUwAsPTfqWh4YmkMzkcG5vQPf40q4W+Jw2PP+mftB+aUipoFWraAPA8rbleHWUrSM0R6j/x7YJrSNx6UAoli5bcSSZTWIkMdJARbt8d8ipUuei16fdP9G8ly6J5ipD62hLKX8tpbw7/2e72ZMiIgNefARomQcservyvfUMYOElwP7J7yW173gYALBqvn7QtlgEVi0I4OX8eZrrh/eh29ONTk9n1Wcsb1+Ow+HDiGfiVc8hmjXCfQBEvpI8Nf3veRBA+YojA1Fl8xnjFe180A4fw79+eK3m8N2X3d3QnNSKduXKIwtaFhTmRkTVGd2whojeStIJ4NA2YOWfA9aSXuqz/gwYfAUYPTKp2+7rD8Nlt+DMkjDUWSMAACAASURBVPWzK62c78erJ8aRyWpXOXk99DqWty2v+Yyz285GTuZwYOzApOZI9JYS7lM2irHap3yrAediAOVraPdHlaqx4Yq2uvpJ6E2co/MvUyvaVzQ0J7Vf/HjF7pDzW+ajP9pf88VoImLQJpqd3vw9kEko/dmlznq38vO1X07qti8fj2BFjx9WS/XVDVYu8COZyeHwcPlmFelcGkcjR3Fm8Myaz1jRpvyi3z/CPm2aA8LHmrPiCID+xz4NAJhfGrTz7RkLWhYYu4nTB7jbgNCbWP/lbZrDGx/bqHNRdV6nDW1eB46NaoN2IpvAaGK0ofsRnWoYtIlmo0PbAYsdWPjH5eNti4C2xcDRxndfzOUkXu4PY9UC/bYR1cp8W8nL/eXtI8fGjyGTy2BxcHHN6+d55yHoDPKFSJobwn3NC9pohxBAd8BZHIv2wyqs9XeFLBU8HQgda8qcAKC31Y2+sfKVhtTgr1bciUgfgzbRbHRkB3DaesDh1R4742LgjWcb3sDm6MgEJlLZqv3ZqjM7vHDaLHj5eKRs/FDoEADUDdpCCCxrXYbXx15vaH5Ebzm5nLK8XzM2qwFwLNeJbp8LTpu1MDYwMYAuTxdsFu1ym1UFTwdC2jW0J6u31Y3jY9qKNgAcnzjetOcQzUUM2kSzTSoGnNgHnP5H+sfP+GMgEQKGGqsY7+tXgvPKBbV3n7NZLTh7ng8v9+sH7UX+RXWftSS4BIdCh9jfSbPbxBCQTTZtab9jLefg9DZP2Vh/tN94f7YqH7Q/eKG20r5p6aaG53Vaqwd9Y3HkcsX/vc73zi/Mj4iqY9Ammm0G9gIyC/ReqH/8jIuVn28829BtXzsRgc0isLTLV/fcFfP92H8iUhaUD4cOY0HLAnjsnhpXKhYHFyOWiWFggqsW0CzWxKX9AOCYmI/eNu1mNYZXHFEFTwcycXzlndrrtl68teF59ba6kcrmMBRNFsZaHC0IOAMM2kR1MGgTzTZ9zyk/e7VLdwFQfsl6O4H+xnZffP1kFAs7vHDY6v9nYWmXD6FYGsPRVGHsUPgQzgzUfhFStSS4BABwMHSwoTkSvaUUNquZetBOZrI4EY7jtNbi/1HN5DIYjA1OrqIN4Obv/rvm0Oafb254br35Kvux0fI+7fne+TgeZesIUS0M2kSzTd9uoHUh4O3QPy4EMP/8hoP2wcEolnZVX9av1LJuper9+slxAEogOBI+UgjQAPDAvgewa2BX2XW7BnbhgX0PFPq4GbRpVhs7qvxsXTjlW/WHEpAQOK2kdWQwNoiszE6uog0gOfyG5tBkXkI+rVWpsveNadfSZkWbqDYGbaLZpm939bYR1fw1wNCrQGqi9nl5iXQWR0cmyoL2t3ccwrOHhsvOe/bQML694xCWdSvnHcgH7b7xPqRz6bKl/Va1r8ItO24phO1dA7twy45bsKp9FQLOALrcXYW+bqJZaewo4OlQltSbIrVarIZaQPnfFQD0+hqsmOd7xnvF0JTnBQC9+Sp75coj81vmY2BigO9aENXAoE00m4yfBMb7lSBdy/zzAZkDBv5g6LZHhieQk8CS7mJgOLc3gC0P7ymE7WcPDWPLw3twbm8AnT4nAm47DgxGAShtIwCwOFBccWRdzzrcseEO3LLjFtyz5x7csuMW3LHhDqzrWaecG1zMijbNbqNHmlLNBoBj+RBbWtF+c1xpTTnN1+DLli4/4G7FUqd2jetOd/VdW6vezm5FR4tTdy3teCaOseRYw/ckOlUwaBPNJoMvKz+7V9Y+b/5q5afB9pHX84FZrVQDwMWLO3DPdedjy8N78I3/eg1bHt6De647Hxcv7oAQAku7WgqtI2plunKzmnU967D5rM34zh++g81nbS6EbEAJ2odDh5GTjS1DSPSWMXa0eUF7NA6H1YJuf3H79WPjx2Cz2DDPM6/xGwZPx/sXayvN2zdvn9T8elvd6Avpr6WtVt6JSItBm2g2OfmK8rNe0PbNA3zzDQftgyfHYRHAoo7ydbkvXtyBv1h/Or61/SD+Yv3puHhxsS98abcPB05GIaXEodAh9Hh74LWXX79rYBcefe1RXNB9AR597dGynu0lwSVIZBM4Ps6XqWgWyqaVVUfa6i9nacSx0RgWOONlu7IeGz+G3pZeWC3WGldWETwdI30HNMP37r13UvM7rc2jqWif7lN6wdXKOxFpMWgTzSaDrwDeruovQpaadw5w8mVDt319MIqF7d6yjTIApV3khzuVX6I/3PlmWc/2su4WhONpDEWTOBw+rKlmqz3Zd2y4A8+ffL7QRqKG7SWtXHmEZrHwMWWZzSa2jvQmXisfGz/WeNuIqu1MtMT6gFy2bPi+F++b1O1Oa3WjPxRHJlv8F6gFvgX4v+y9d3gc13nv/5ndxaL3RSF6B0gAJMEu9qJeLFmyFFtWZFkushwlsRPmxkl+yWP7Xif35+g6dkw7lm8kS7ZEyZRky2pUYReLwAKQIEAUovfe+5a5fxzsAout2F2KADmf5+Gz2DNnzsxy58y+857v+74SEi3DvqtCqaBwo6EY2goKS4muCohb4V7fuHzorQbDtMuuNV0jZM3LOGLWZO97tAjAIiMxG9vmzCPVnUM0DDVY6bMByvvKrTTZZs12eV85MKvnNuu7FRSWFD7MOALCo50sdVvey7JM83CzV4a2v2SAYd+sGKXpgjGYZKvMI/5qf5YFL1M82goKTlAMbQWFpYLJKDKJxM6RjZz8KTScsO7XcEK0x+WDyQC9tsvHc5k2mGjsGyc7ztrQLmsdsmiyYVazXdY6BGDpf661linjlFVqP4AnC5600mSDMLafLHgSEAUv4oPjlcwjCksTi6HtvXRkZFLPwLielDmGdv9kP+OGcVLCUjwbNGrmwbe/3uvzg1lZWUOfdSaj5LBkmocVQ1tBwRGKoa2gsFTobwDDpLVHO3ENvP7ErLHdcEK8T1wDcQWizYV8pLFvDKNJtniozXxrR6bFyH7nma2AMLa/tUP8gMeE+BMR5MflnquAbSDkXF679zW77ZnhmYqhrbA06W8AtRZCF1hMxg4NvcJ4TbvjLyxtLSNCjuGNRxuAPuv55WguuiI1WmRDaey1NrRTQlMUj/YSpXeil5+X/pzfXfkdeqP+ep/ODYvmep+AgoKCm5gzjsTOMbTTt8PDLwrjet3X4Pzz4n36djAahCHQVQ78mcNhr3aJjCPzpSOuMGceaRyqBy1uV4WcS0ZEBuerz2M0GT0L+FJQuF4MNEJEKqi891eZDe2MiNmfZLOhveAc2mZCl2FS+6PykUc7JsSfYK3axtBODUtlcGqQoakhwv3DfXIshWvP8PQwjx983HKdlXSV8JOdP0GSJBd7KiwUxaOtoLBU6LoCSBCTZ92evl0Y2Sd+LF7Tt4t2tUb0deHRvto9giRBZoxjQ/u+fSfttmfHhdI73URcUByhWsdFO7747hfttmeGZzJlnKJ9TKkup7DEGGj0WcaRht4xJAlS3rjb0tYy0oKERFKIh4a2SkWNPlZ43ufgaC66QpIk0nTBNPRZp/gze9zNBpvC0uCXF39J+2g7L975It9Z8x0ONR/iUPOh631aNySKoa2gsFTorhDLwdog6/aGE8KTDeJ1rmY7rsANQ3uUlKggAvwW7lHOiQ3BqO4iKcQzg8Ncir1+0DdeNwWFzwRZFtrnqIWv4tijoXeMxIhAAqTZ5fvmkWbig+PRqrUej9skx/lMow0iINKeRxtQdNpLiP7Jfg5UH+CBrAdYG7eWJ/KfID08nV+X/fp6n9oNiWJoKygsFbqu2GYcMWuyH35RvDfLSMzGdtwKGO2EsT6Hw17tGrEqvb4QsmKDUfl3E672zOtm1nUrmUcUlhQjHTA9CtFZrvu6QUPvmE0O+6ahJs8DIWdolONgoAFMvikKlR4dTOvAONOG2fGSQpOQkGgaafLJMRSuPe/WvYvepOex5Y8BoFapeTTvUar6q6jsq7zOZ3fjoRjaCgpLgelx4ZmKnVeopq1kVpO943uzmu22ErHdXNim275XW2800dA7RlasY9kHwF/vybbbHho6gqTSozLEOd3/6VVP220P04YRGxirBEQqLC3MmXx09ufFQpBlmYaeGUN7x/dm24YbPIp7mEtm7koRQD0yK81yNBfdIU0XjEmG1oFZ+Yi/2p+44Dgll/YS4o+1f2SlbqWllgHAXel34afy463at67jmd2YKIa2gsJSoKcKkG092lu/M6vJ3vUP4jV9u2iH2cwjneV2h23qG0dvlK1Kr9vju7fl2G0f0Isf1/GxGKf7f3v1tx1uy4jIUKQjCkuLXpFph2jvDe2+sWlGpgzC0J6Zw93j3Yzpx7w2tG/dcov4Y458xNlcdEW6bibzSJ+tfKRpWPFoLwWahpuoHazl7oy7rdrD/cPZkbSDQ82HkGX5Op3djYliaCsoLAW6Z0qvz/doz+XZXNu2kFgI0jn0aNd2jwCQ7cKjveFH9oNk6ofED3hPX5jT/Xcf2O1wW2ZEJnVDdcrNXWHp0FcLfsEQluD1UOaMI+m6YMscbhgWAYzp4d4FW967v0P8YX4wwPlcdEVa9Ewu7V7rgMj0sHTqh+qVObwEONZyDICdyTtttu1I3kH3eDfVA9U22xQ8RzG0FRSWAl1XQBPoPMvBaKf99rgVMxlLbDGn9suMDba73Uz3yJTd9rrBOvylCOq6ZKc/sj0TPQ63ZYRnMGGYoGOsw+k5KCgsGnqvgi4LfJAKraFnJrWfLsQyh80rPN4a2uWjIaANsSpa5WwuuiIqWEt4oB91PaNW7ZkRmYzqR+ke73awp8Ji4VjLMbIjs0kMSbTZtjVR1Es43nL8sz6tGxrF0FZQWAp0V0BsHniSazo2X0hP7ARE1XSPkhQZSJDWs5T69YP1xAWkMjShp2fUvjHuCnPmEUWnrbBk6LvqE9kIQH3vGH5qiYSIAEtbw1ADIX4hxAQ6l2S5RhI68h7feCjNufNru6wNbbPExbzCpeAlneVQd0TUQvACWZYxmWYdIBOGCS72XLQY1PPRBerIj87ndPtpr46rYI1iaCsoLAW6KpzLRgCWrbLfHpcP+nGRfWAe7mYcKUi0lYaYZBN1Q3UWQ/nqvB/fuSyPWu5wW2b4TIo/5UdaYSmgn4DBFp8EQoKQb6XrgtGoVZY53DDcQHp4utfFQwoSw0Qu/TmGtrO56A7ZcSHUdI9YrWCZswcpc9gHfPIT+NUW+N3n4befA/2kR8Mcruxiw78eZvUPP+LAeRFLc7H7IgaTgQ3xGxzutz5+PZd7LzNp8Oy4CrYohraCwmJntAfGemwDIefz1An77eb9uq3lIwajifreMZvS6/Z49y+32bR1jnUyYZhgVZzQlV7tGnG4/4H7DjjcFhEQQXRAtOLRVlga9NcDss9S+9V0jZJtnoMzc7hhsMFr2QjMzFtdjsg6MjkMOJ+L7pAdG8rguJ6+sWlLW3RANGHaMCWo2Vuai+HwDyD/83DXv0PTKTj6vxY8zNWuEZ5+uYToYC258aH8/ZtlnK7r5VznOdSSmqLYIof7rotbh96k53LvZW8+icIcFENbQWGxY6/0uj3e/iv77THLAclGp90yMMG0weRW6fV/+EOZTZvZMF4Vl0N4oB813Y492t8//X2n45sDIhUUFj3mwEIfeLQnpo20DIyTYw5GfvuvGJ0epXui2yeG9j/8oQxiZoKkZ3TaruaiK7JnMhTNXcGSJEmZw77g8A8hNAE+tw82fhOKHoPi52CobUHD/Oj9SoL81bz89Y289OQGkiOD+OE7VzjXeY58XT7Bfo5jcoriipCQON953ttPozCDYmgrKCx2zAZynAvpSMlL9tu1QSKIcl7mkZoZD3S2Gx7tV8/a5sg1G9pZEVl2dZtzefPqm07HzwgXKf6UrAUKi56eKkDyiUe7tnsUWWY2vWbJSzQMzWQcCfPe0H71bIuQjoBFPuJqLrrCnKHoarf1ClZGeIbl3BU8oOMSNJ2ETU+D/8z1sP3vwKiHkt+6PUxV5zDHqnv4+tZ0dCH+BGk1fPe2bKq6+ijrvcz6uPVO9w/ThpEXlcf5LsXQ9hWKoa2gsNjprhAp+kJiPR8jdoVNKfbaGQ+0Ox5te9QN1REdEE1EQATZcaE2us2FoGQtUFgydF8RD65a55l63MHew27tYK1oi/SNBpyIVFBrodc3AZFxYf6E+mtsYjIywjPon+xnYHLAJ8e56Tj/AvgFwZrHZ9si0yBrjzC03QyMfOl0E4F+ah7blGppu6cwgcjITkyykTVxa1yOsTZuLWU9ZehN+oV+CgU7KIa2gsJix17p9YUSly+0pfoJS9PVrhESIwIJ8fc844g5EDI7NoTBcT29o9Mu9rKPknlEYcnQdcW1jMtNarpH0KpVpEUHzbYN1BCoCSQpNMknx0CtERlSfJh5JCsuxNajPRMQqcxhDzDq4cqfIPduCIyw3lb050Jj33TK5TDTBhPvX+7gjvw4IoK0lnatRkVBhtDoJwbaLz42l0JdIZPGSWoHahf2ORTsohjaCgqLGZNJLFW7yjgC8DdVjrfFrgB5ZqwZarpG3fZmF//jHqv3sixTN1RnSetlDqh0FBB5+OHDTse3GNqKxlNhMaOfhP46nxnaV7tGyYiZyTgC8DdV1AzUkB2RjUry/ufZMm9jcixz39VcdIfs2BDLipiZrAghpbk6eNXeLgrOqD8OEwNQ8KDttuzbQBMAVe+6HOaTqz0MTei5b5VtISVtcCum6SguNLj2UhfGFAIoAZE+QjG0FRQWMwMNIjWfOx7tjouOt5n13TN6b6NJpq5n1K3UfgCXW4es3neOdTKmH7Msb1sCpBwERF7ps18wx0xUQBSR/pGKN0xhcdNbLR5YY71LkWempmvESjYit5cKQ9tHshHLvI1dAQNNMDXqci66Q3ZsKL2j0/TNyZ0fFxRHuH841f1KVcEFU/2+qDSaucd2m3amveo9cCHN+6iii1B/DduybfOvN41WojWm8VGFg8Jmc0gKSSLSP5KyHtsgeIWFoxjaCgqLGXdKr5t59YuOt0VlCK/IzHitA+NMGUwWA9kVX/+tdWCM2Wtl9mLFhvoTFqCxWU4285dH/tLlMTIiMpQ8vAqLm+5K8eoqMNkNxqYMtA5MkDPnYbfn9ccYnBr0maFtmbdxBYAM3VfcmouuWJEg8upXdszOd0mSyIvMUwzthSLLUHsIMnaAX4D9Pnl3w3CbTYpW62FkTlztYWu2Dq3G2rTrHu+ma7yLFVEFnLjay8S0kRfKX+Bsx1mrfmc7zvJC+QtIkkRhTCHlveVefzwFxdBWUFjcdF0BJFEV0htUapHmayYg0hzIlBXrOuOIPcwBW2bJhyRJIiDSSeYRV2SGZ1I3WKdkHlFYvHRViMDCqAyvh6rqFEZqbvzsHKzR+gGQE+laR7sg4gvEa6dvpADLlwlD+0qH9UpXTlQOtYO1GE1GnxznpqC/HgabIHO34z4ZO8Vr/TGHXa52j9IxNMn2HFtv9uUe8b3fmrGeaYOJc439FEQXsPf4XouxfbbjLHuP76UgWlwrhbpC6ofqGZ32/J6uIFAMbQWFxUx3hYg890GGA2LzLR6Rmm5ztgPPMo7UDtQSGxRLuH+4pS0nzla3uRAyIjIYnh6mb7LP4zEUFK4p3ZWgywW1n9dDXWkXRmp+4uwcumaGdngyBIT7zNCOCtayLDyAK+3DVu25kblMGidpGmnyyXFuCmoPidesWx33CU8SAa1ODO0TNT0Adg3tst4yNCoND+Svx08tcaqulw3LNvDsjmfZe3wv+0r3sff4Xp7d8SwblomqkSt1K5GRKe9TvNreohjaCgqLma4K95ep7/2p8+1xK2C0C8b6qO0aJT4sgLAA9wyGf/18odX72sFasiOsl7ezYkPpH5umd45u08y/3PIvLo+hZB5RWPR0X/GZPruifZiIID8SwmflAjXpt1i0zr7AMm8lSchHusrdmovusGJZGFc65hnaUaI4Tk1/jU+OcVNQd0SskES5yJuesRMaT4HBfman4zU9ZMWGkBgRaLPtcu9l8iLziAwMpiglklO1vQBsWLaBR3If4bmy53gk9xGLkQ2QrxO/O2ZvuILnKIa2gsJiZXoc+uogvtB1X4B1X3W+3Wywd1dwtXt0Qd7sRzemWP42mozUDdZZ9NlmcuxUjDPzcM7DLo9hHs8sS1FQWFSM9QmdrFmG4SUV7cPkJ4QhSZKlrVoy+NSbPXfeEl8IXVd4OOshn4y9IiGMup4xJvWzMpGM8Aw0koaqficZkBRmMZmg+QykbXXdN2MH6MegzbaQzKTeSHFDP9vtBEEaTUYqeissmUS2ZumoaB9mYGyasx1nOVB9gKdWPsWB6gNWmu1w/3DSwtIo61UCIr1FMbQVFBYrPZWA7L5H+/suvGAzAZWmzgpqu91P7QeQ9r33LH+3jLQwbZomK9La0HZUMQ6g8CXXDwvRAdGEacOoH1QCIhUWIR2l4nXZaq+H0htNVHeOkJ8wO2fH9ePUD1y1eBJ9wdx5S1wB6Me45wXfpCZcsSwMo0m2erDWqrWkR6RTPaAERLpFTxVMDkHKLa77pm4Rr02nbTZdahlk2mBic2a0zba6oTrGDeMU6sQ9eEtWNLIMr5QdtshFnit7ziIjmWtsF+pEQKQSN+MdiqGtoLBYMVdy9EGGA0BUlgyKZqyljAm9kbx47wIh50tH4sL8CQ2wrRjnLpIkkRmRqeTSVlicdFwSr8tWeT1Ubfco00YT+TPZOwCq+qswSZIlGM3nzHjic6d9U+3PnHlkfkDk8qjlVPZVKsaZOzSfEa/uGNpBURCTB82f2mw619gPwNrUSJttZumH2dAuSAxHq1FxpvWilSbbrNmeq8nO1+XTO9FL13jXgj6WgjWKoa2gsFjpqhC5VSPSfDOeJEHsCoydwoDPiw9zsYN9rg5eRUIiPdxaUyhJEjlxoVQ7KFrjDpkRmVwduKr8SH8GfNL6CX93/O/4WcnPlMwC7tB+UQQmz6/c5wEVM0GEcw3tij4xL1dE+8bjbEPMclBpWDHlWfXW+SRHBhHir6G8zVqnXaAroG+yj84x1/mab3qaz0BIvLiu3CFlE7ScFZKTOZxrHCAnLoTIYK3NLpd7LxOmDSM1TJRk99eoWZ0UwWj3ditNNghj+8mCJy3vzca5kubPOxRDW0FhsdJVIQIYVW5O05w7XfeJyydosAa1ZLJUc3SHPXmxlr/rButICk0iyC/Ipl9efCiVHcM2hvKOpB1uHScvMo/h6WHFg3KN+VPtn/j24W9T3FHM85ef58kPn2TCMHG9T2tx03HJJ7IRgIr2IQL91KTrZuVbFX0VxKIhJshWZ+spc+ctfgEQl89WyXbeeoJKJVGQGMal1kGrdrNxplQVdIPmT4XxbNbpn/wpNJyw7tNwQrSD8HxPDc3ICgVGk0xJ0wDr06Isbb86XsfpOhHwWNZbRqGukDP1ffzquFgtXJsWSUXbEBPTQl/v6P6cG5WLRqVRvksvuaaGtiRJd0qSVC1JUq0kSd+zs91fkqTfz2wvliQpbaY9WpKko5IkjUqStO9anqOCwqJElqGrfGGykUd/77pP7Aq0pgk2RY0RqFW7PfTzT6y3/F07UGsTCGlmRUIYI5OiEMdc9u1xbxqbsxYowVTXjs6xTn5U/CM2xm/k0MOH+Nmun1HVX8UvSn9xvU9t8TLeL3IdJ/jG0L7cOsTyZaGoVbOBkBW9FeQnb/PJ+GbmzlsAEteSNzFu4xH1lNXJkVR2DFsFROZE5uCn8lO8oK4YbIGhFmvZSOIaeP2JWWO74YR4n7hGvE/eKF7NkhOgqnOYkSmDlaG9MimcZ/aXcqSmhbrBOiLUmTyzv5SVSSImYH1aJAaTzMUW8ZDk6P7sr/YnNzKXit4Kn3zkm5VrZmhLkqQGfgHcBawAviRJ0vw1sa8BA7IsZwH/Afz/M+2TwD8De6/V+SkoLGqG22FiYKaim5vs/zPXfWYM9+3h3Qs6na+9eA6AaeM0TcNNjg1tSyEL6+XkZw4/49ZxciJzkJAUQ/sa8tOSnyLLMj/Y8gO0ai27UnbxQNYD7K/aT+tI6/U+vcVJ50zmBR/os6cNJi63DVGUMqunHZkeoXG4kYI23xqn5nlrIXEdTA1Dn28y+6xOjkBvlC1SGBABkcujliteUFe0FIvXlE2zbenb4eEXhXF95Efi9eEXRTsIiUlIvJVO+1yD0GevT581tDdn6tj3aBF/89a7mGQTH1zQsu/RIjZn6gBYM3PtnZ/Rdju7PxfoCijvK8ck++bh7GbkWnq0NwC1sizXy7I8DbwG3D+vz/3ASzN/vwHskSRJkmV5TJblkwiDW0Hh5sMSCLkAQ7vmA5ddRsJErupVfm0LOp3DVcIwrx+qxyAbHJaIzosPQyVhU8jieOtxt44T5BdESliKUsb5GtEx2sEHDR/wZ7l/RmJIoqX9mSLxQ/tSxUuOdr25afddxpGqzmGmDCaKUma13pV9QgqQ3+5bz6F53lpIXCte7aSI8wTzZzB7Rs0U6Aqo6KtQKkQ6o/kMaENs7/Hp22Hd1+DEj8Wr2cgGITFJ2QTNxZamc00DJIQH2OTP3pypoyhL3IcfKdxsMbIBIoK05MSFcL5pAHB+fy7QFTCmH6NxqNHDD6pwLQ3tRKBlzvvWmTa7fWRZNgBDgG1+GgdIkvRNSZLOS5J0vqenx8vTVVBYRHTNeLbifBsYVd0v02SKJd3oWeU2s0GQF2W/JHygVk26LpjKeR7thZAbmat4tK8Rr1a9ioTEYyses2qPDYrlrvS7eLvubSUw0h6t50VRkaAo131dYDZKVyfPGtqXekRGkwIfBSo6RJfNqCRB2wWfDBcXFkBCeIBdQ3vCMKFkEHJG0xlI3gBqjXV7wwk4/7z4+/zztprtlE0w1AxDrciyzLmGfitvtpnTdb1c6LqEaTqaN84NWjTbZtamRlHSNIDR5DzwXNHce8+1NLQl5NSxKgAAIABJREFUO23zv1F3+jhEluVfy7K8TpbldTExvgsgUVC47nRVQHiKKJvsQyo7R6iSU4gau+rR/lX9VQRqAi0R7PZYbqdi3ELIi8qjdbSVkWnPs5co2GI0GXmn/h22JW0jPjjeZvuX8r7EuGGc9xvevw5nt4iRZbHMn7TBdV83KG0eJCbU38oDWdJdQmZ4JuE+0k47RKWmwl/rM0MbYHVKBBdbBqzaVsasBJRsFQ6ZGBBVRuen9TNrsh9+Ubw3y0jmGttmnXZLMc3943SPTLEuzdrQPl3XyzP7SwmP6MA4kcy+R4t4Zn+plbG9Pi2SkSkDNS6yRKWFpRGkCVK+Sy+4loZ2K5A8530S0O6ojyRJGiAc6L+G56SgsDRYaCAkwPeHXHap7BimVp2BZqAOptw3ZBv/9z2AMLTzovJQSY5vHSsSwmgdmGBoYjZf7+WvuO8NsZRxHlDKOLuiZ2SKH7xTwV/sL+FYtXPdfXFHMb0TvdyXeZ/d7fnR+aSHp3Ow4eC1ONWly0AjjPUI76MPuNgySFFyhKUipEk2cannEqtjV7s1hxeCed7OZeO6b0NnOeh9o8xcnRxBS/8EfaNTlraU0BRCtaGU9ShVBe3Scg6QrfXZAG0ls5rs7w/NarbbSmb7xBeCXxA0F3OuUTzgbJhnaJe1DvE/H0picLqXf77tTotmu6x19vpalyr2Od/Y7/T+rFapydflK4a2F1xLQ/sckC1JUrokSVrgi8Db8/q8DXxl5u8vAEdkJYGuws3O1Cj01iw88Or8b1x2qeoYZjiyAAkZOt03fvcXN2OSTRZD2xnmgMi58pHXa153+1i5kcLQVnTazukbneKBX5zilU+bKa7v44nfnOP355od9n+3/l1C/ULZnrTd7nZJkrgr/S4udF1QciDPpWWmUp7Zk+gFA2PTNPSOsXqOPrtusI6R6RGKYovcmsMLYX+x7fVwSpoCk35B898Zq5NFYN1c+YgkSayKWUVpd6lPjnHD0XwGVJpZzbyZrd+Z1WSbr4X07aLdjNpP7NdSzLmGfsID/cieV+X3Wzsy0QaLwOaOrjhAaLa/tSPT0ic5KpCYUH8uNA24vD8X6AqoGqhi2niNpU03KNfM0J7RXD8DfAhUAgdkWa6QJOmHkiR9bqbb80C0JEm1wN8AlhSAkiQ1Aj8BnpAkqdVOxhIFhRuTzssgmyChaGH7vfsdp5sNRhOVHSNokmZSRbW7/yP4j3+8TPNwM+OGcZZHLXfa11Ixbk5A5A/P/NDtY8UGxRLpH6notJ0gyzJ/+/olekaneP1bt3Dqe7vZlq3jn9+qoLbbVmOtN+o52nKUPal78Ff7Oxz37vS7kZH5sPHDa3n6S4vWs6ANhVjn1707XJgJPlszJ+OI2Rgtii1yOYcXyj/+0daY/qfGP4k/5qSI84bCxHA0KsniXTWzLm4d9UP19E30+eQ4NxTNnwpHijbYcR9n10LyRui8zOXGNtalRqJS2apwy3rK0Kq07PtgzO4QkiSxLjWS800DLu/PBdEFGEwGZZXRQ65pHm1Zlt+XZTlHluVMWZZ/NNP2L7Isvz3z96Qsyw/Lspwly/IGWZbr5+ybJstylCzLIbIsJ8myfOVanquCwqKh46J49VHOXjN1PWNM6I1kpqdDaIKodLcAzIavK492bGgAuhB/yts9WwaXJInl0cu50qdMeUccq+nhWHUP37szj1XJEfhr1PzHn63GX6Pifx+0fUC50H2BUf0ou5J3OR03NSyV3MhcjjQfuVanvvRoKYaktaByP++8I4ob+tCqVVaBkBe7LxIVEEVyaLKTPX1Hn0YN0VnQdMon4wVq1axKjqC4wdqgXhe/DoALXb7Tg98QGKaERt6dsuuOSNkEspHw/ss2+mwzZT1l5EXnARq720GUbG8dmMCkd168TAmI9A6lMqSCwmKj/aLIlRpqG7DmDWUzFdxWJoULb/kCPNoAlf2VaFQahzm057IqKdxKD7hQCnQF1A7WMq4f93iMGxVZlvmPj2tIiQrisU2zQam6EH++tTOTQ5Vdlu/azLGWY2hVWjYt2zR/OBt2Ju/kYs9FBicHXfa94ZkcFoHJPgqELG7oZ3VKBAF+s0Z7SXcJRbFFFs32Z0LqFpH1wkfp9zZlRFHWOsTYlMHStiJ6BYGaQM53+SaV4A1DeykYp7wztJPEQ8xaqYYN6ZE2mw0mA1f6rrBSt9LpMGtTxb7GiTSn/eKD44kOiFZ02h6iGNoKCouNjosLl40AfOk1p5svtw0RrFWToQsR3vK+WrcDIv/78XVU9lWSHZGNn9rPZf9VyRHU9YwyPCkCIn++++duHcdMoa4Qo2y88eQj9cfhl5vh31Lgnb+G6YU/SJS2DFLWOsQ3tmeg1Vjfwh+/JZVgrZrfnplN3yjLMsdajrFx2UaC/FyX396ZvBOTbOKTtk8WfG43HM1nhIwrbYvXQ41M6ilvG2LTnFRsrSOttI22sT5+poKjizm8UP778XU2bT/f/XNI2ypKeXf5xnDalBGN0SRb8jID+Kn8WB2zWjG052OW7MwPhJyPs2shMJLugAw2qGsoSLTNTHV14CqTxklWxqy0ew2YyU8Ix1+jYrvuKw77gFhlLNAVKIa2hyiGtoLCYmJqFHqqPZONuCimUdY6REFiuNDzJRQBMnS4lxWgIDHMrUBIM6uSI5BlKJ/xaq+IXliIRYFOFHG4oZYqm87AK18Q3qzcu+DCS3Dg8QWXw375TBMh/ho+XzS/LAGEBvjx+TWJvH2pnf4xEbhUN1hH22gbO5N3ujX+iugV6AJ1HGs5tqDzuiFpOAFqrU8CIc83DWCSYWPGbKmI4g5ReMSy0uCDgjhzKUyyNcJWRK8QHm2ARt/IR9amRqJRSXxabysfuTpwVVkdmUvTGSHdCdY57+fiWighh7XqWvzt6LPN981CXaHda8CMVqNiVXIErT2O4zbMFOgKaBhqUNKueoBiaCsoLCY6LwOyZz+4P3FsBOuNJq50DAvZCMyO76Z85JZn32BgaoD8aPdSDq6aOc7FGQnDntf3uLWfGV2gjoTghBvHgzI9Bm99C8IS4Wsfw4PPwd3/DrUfw7n/dnuYoQk9717u4PNFiYT429dePn5LGtMGE38oEVkHjrUeA3CYbWQ+KknFjqQdnGo/hd6od73DjUzjJ5C0HvwCXfd1QXF9P35qySoQsrijmJjAGDLCM0SDkznsCRv/9bBN257X90B4oijn7SOddpBWw6rkCFtDO25Gp92t6LQB8VDd8imkbnbd18m1MDZl4PBoGsHyGPTYrvqV9ZQRFRBFYkii3WtgLutSI7nSPszEtHMZUaGuEBlZiZ3xAMXQVlBYTFyjQMjqzhGmDSYKk2aCsEJihNHnpqGtDhRpwlbFupdyMCJIS7oumEstnnuyCnQFN45H+9NfinzM9++brS64/uuQuRuO/i+YcO//6UhVF9MGEw+usfVmm8mJC6UgMYy3L4myBcdbjrM8arndIjWO2JG0gzH92M297D8xIFZ80t17QHHFp/V9rEyKIFAr9NmyLFPcWcyGZRs+W322mdStwtD2UZEcezrtAl0BAeoAznac9ckxljzdV2ByaHZFwUNKmgc4a8wRb1qKbbaX9ZaxUrfSretK6LTVXGp1fg8yO1lumHvyZ4hiaCsoLCbaSyF0mc8DIS+3CQnHqrnLiIlrofWcW/urA5sJ1AS6FQhpZlVSOJdaPA+ILNQV0jbaRv/kEq9hNTkMp/dBzp1CG2tGkuDWH4gf3k//y62hPijvJC7Mn1VJEU77fW5VAmWtQ1xqb+dSzyV2JO9Y0ClvStiEv9qfE60nXHe+UWk6DciQts3roQbHpylrHWRr1qxc4OrgVfon+9kY770sxSPStoqHCR/rtM82zs5XrVrLuvh1nGr3jed8ydN0Wrx6EwgJnGscoIU4TEE6G0N7cHKQhqEGS3VOV5gDIi80DTjtFxEQQXJoMhW9FZ6d9E2MYmgrKCwmWs7aFjFwlzWOA1rKWocIC9CQEjUnGC5lEww2wYjr4iSxui7yo/PRqByniprPquQIOocn6Rya5KHsh9zez4xZp73k5SOXXoXJQdj+d7bblq2E3LuFfMQwZbt9DhPTRo7X9HBHfrzdvLlzuXdlAgDPX/gAGZltidbG4gvlL9h4Gc92nOWF8hcACNQEsj5+/c0dENlwAjQBlgwP3nCytheTDNtzYixtZ9pFUJxVJhgnc9gTvrTBNmWgZS5mzqR6rD3kk2OtT4vCX6PieHWPVfvWxK00DTfRMtzik+MsaZpPQ1gSRKS47uvkWjjX0M/yZeGoUjbZGNol3aKK5No48Tti7xqYS0SQlvCQCc43unZo3FCrjJ8hiqGtoLBYGO2GgQbX0eiO+Nx/OtxU2jzAqjlln4HZAK8W58u6U8YpRmly20NiZtVMruCLLYN8f/P3F7QviKAtlaRa2mWcZRnOvwAJaxwbbOu/DuO9cGV+4Vxrjtf0MKk3cUe+69WOhIhANqRFcab9FBH+ETba+oLoAvYe32sxts92nGXv8b0URBdY+mxP2k7TcBNNw03clFz9WHizNa4DxVxxvLqH8EA/qxWl463HyYrIYlnIstmOTuawJ/zbg7Zz1jIXQ+NFOW8fGdoBfmo2Z0ZzrLrbqt38kHdTP7SBuBc0nYbUW8RqliscXAvTBhOlLQOsT4uC5A3QXy9+O2Yo6SpBq9JaHBX2roH53LU8hwtNA5hMzgtzF+oK6Rrvome8x2k/BWsUQ1tBYbFg9kx4muHgOfta0uFJPdVdI6xLnVfYIH4lqP3tavzmUtlXicFkWLChvWJZGFq1ipLmAR5555EF7QsQ5BdEbmTu0i7j3HxGBCute9Jxn4xdEJXpMijyo4pOIoL82JBuv0DFfO4ujGNcc4XCqPWo5xVb2bBsA8/ueJa9x/eyr3Qfe4/v5dkdz7Jh2Wy+aLOBdFPKR/rqoL8Osm/zeihZljlxtYetWTo0avGTOzw9TElXCTuS5kl6HMxhT7n357bGrdVczLpNVCmc9FziNZfdebE09o3T0DtbjTAlLIWU0BROtp30yTGWLP31MNrlXiAkOLwWytuHmNSbxH0gecYpM+ceXtJdQoGuAK1aC9i/BuZTPPAaw5MG6npsq8rO5YbMBvUZoBjaCgqLhZZikUpsmXsBhzZ0XLLbXNI0gCzDurR5hQ00Wkhc49LQNnuUXRU/mE+An5pVyeEUN/RT2V+5oH3NrI1by6WeS0wbpz3a/7pzcb8o313woOM+KhWseVxkI+irs9tFbzRxqLKLPXlx+Kndu22nJw6h0oziN20/teKGZRt4JPcRnit7jkdyH7EysgGSQpPICM/gk9ab0BNp9vJm3er1UDVdo3QNT7E9Z1affartFEbZaJty0cEc9pTytmGbNqu5mH0byEaoP+aT4+3MjQXgaJW1V3tr4lbOdZ5jyuhcHnVDY9Fnu2loO7gWzjUIice6tEgRNK/WWu7h4/pxrvRdschGwP41MJ9uk5AxnXeh014etRyNSsPFnoVVFb7ZUQxtBYXFQstZkd/aB0vVc7nQNIBaJVmVfbaQvEFUotRPOty/rLcM03QEMUExDvs4YmN6NOVtQ8hG7YL3BZGHd8o4RUXfEgzAMeqh8h3Iuxu0wc77Fn4BkODyG3Y3f1rfx/CkgTsL3A+SrR4Wga4NzfYzlJztOMuB6gMAHKg+YDczxPak7ZzvOn/zVei8+rFYZYjO9HqoQ5VdAOzIibW0HWs5RqR/pKW09XUjaQP4h4vP6wOSo4LIig3haLWtoT1pnORcp3vB1zckzWcgKBpicr0aprihn3RdMLGhAeK3IqEImoWhfannEkbZaGVou4Ok7SU6WMv5RueGdoAmgILoAi50KekaF4JiaCsoLAYMUyLjSLIXpZ5D7Bth5xsHWL4slGB7eZeTN4JJP5tWcB6yLFPaXYqfId2jU9qQHoXRJBNiWpg33Mya2DUAnO9cgmnm6o+LIMj8z7vuG54kskBcPiC0nPP4oLyTIK2abdmzXtFfHa/jdF2vVb/Tdb386rjwip9qO4XOL4PLLSa6R6wfpMya7Gd3PEtMYIxFRjLf2N6WuA29Sc+ZjjPufuqlj35C5M/Ovt0nw31Y0cmq5AjiwwMAUR77ZNtJtiVts5H0OJrDnhIbavvQHhM454FZrYHMncKDb+e684RduTEU1/dbpflbH7+eQE0gR5uP+uQYS5KmUyLbiLupHO1cC3qjieL6PjZnzhY9InmjuH/rJynpLkElqVgVM7sqau8amE9sUAxrUiMpaXZuaINYZbzSe4UJw4R7n0NBMbQVFBYF7RfBOO1dBbq91TZNeqMInLHRZ5tJmjHsmz+1u7llpIXu8W7+cfe9Hp3S2tRI1CqJh5L/3qP9IwMiyYrIWpoelCt/BP8wkSvbHQofhr5am9zmJpPMR1e62JkbQ4DfrGG2MimcZ/aXWozt03W9PLO/lJVJ4QxPD3Op5xLbk7Yhy3C40trDWN5XbtFkH3nkiEWzXd5nneGlKK6IEL+Qm0s+UnsYDJOQc4fXQ7UPTlDWOsSdcwJYS7tLGZ4ettVng9057A1n/8lW+nLkkSPWDTl3wUgHtJX45Jh7lscxbTRxbE72kQBNANuTtnOo+RBGk/PCKDckA43i30Jystu5FspaBxmbNrJlTppIkjeK346Oi1zoukBeVB4h2hDLZnvXwHyOPHKEdamRNPSO0TPiXN6zJm4NBtmwtIPUP2MUQ1tBYTFg1kkneeHRPvpvNk1X2oeZ1Jts9dlmQmIgOhsa7QcqmZd6K+pclAt2QLC/hoLEcP502XPpx7q4dZR2l2IwGVx3XiwYpqHyXZG6z10p0Ir7hd5ynnyktGWAnpEpm2wjmzN17Hu0iGf2l/KTj6p5Zn8p+x4tYnOmjk/bP8UoG/lczi6SowL5qMI6heOTBU9aNNm/vPhLQGi2nyywDtr0U/lxS8ItfNL6CbKPPJ6Lnit/gsAo65znHmL+f78jP87S9mHjhwSoA9iaaGd8O3PYG/7j4xqbNvP3bSH3TlD5wZW3fHLM9WlR6EL8ef9yh1X7bam30T/Zb0k/d1NRf1y8Zux0fx8718Kp2j4kCW7JmOfRBiYaP+Fi90XWx6232sfeNTCfX178pSXIurihz2nfotgiJCRKum7C79FDFENbQWEx0HhSaEJD41z3dcTx/23TdLpO3DSdZqrI2CkCdQy2AYfnus4RHRDNSyc81+huTI+itU/DpN4zT9ba+LWMG8ap7PMsoPK60LAA2YiZwAgRfFfxR6tqfR9WdOGnltiVF2uzy+ZMHY9tTOE/j9Ty2MYUNmeKB6JT7acI9QtlVewqbl8Rz6m6Pkan7D+o/Ncl58Vytidtp3uim+oB33pbFyWGKag+KHT1aj+vh/uwoovs2BAyYoSH0WAy8FHjR+xI3kGQX5DtDnbmsDf87PBVmzab7zswUtwDrvzJJ/IRtUriroJ4Dld1MT49e81tS9xGgDqAjxo/8voYS476oxCaALoc9/excy2cqu1lxbIwIoPnxLyExEBMHhcaD6E36dmcYB1sae8amM9/XfovChPDCfXXcKrWuaEdqg0lNyp3aa4yXicUQ1tB4Xpj1Av9XsbCqve5w+m6XnLiQkTgjCMydoB+DNqsddCyLHOu8xzr49cDnpeI3pgeBbLGLf2fPdbFifzTZzuXUBnnirdEkJm5KAjAyZ+KIihzaTgh2s3kPwgj7SIDCeI7+KC8k82ZOsICbA2/03W9vFzcDMDLxc2crutFlmVOtp1kU8ImNCoNt62IY9pg4kSNZ7lvzZ7XmyLNX91RmB6BFQ94PVT/2DRnG/utViLOdpxlYGqAu9Lu8np8n7LiflG8ykGsxkK5u3AZk3oTR6tmr7kgvyC2JW3jUPMhTLJvyr4vCUwm4dHO2Om+PtsOE9NGSpsHrWUjZtK3c2a4Dq1Ky5q4NR6Nr1Gr2JgRxZl5cR/2MGeD0hv1Hh3rZkMxtBUUrjftpTA9ujD9nhtMGYyca+y3eDkdkrYVJNXs8uYMZn22MLQ9R3jTjXxy1fUN3B66QB25kbmcbj/t1Xl8ZhimoeodyLvHWjaSuAZef2LW2G44Id4nzvlhzL0LNIFQ/gcAKjtGaO4ft5ttxKzJ3vdoEYBFRvLG5XN0j3db8mCvS40kMsiPj690efRxdIE68qPzbw6d9pU/iQekdO8fet8ra8dokrm7cLYgzcHGg4T4hbA1yXtZik/JuwdUGvH5fcCGdMfykd6J3pvLG9p1GSb6FyYbscO5xn6mjSbrQEgz6Ts47a+mKCyDAI0Tp4oLNmfqaOwbp23QeaDj2ri1TBonl2Y2qOuAYmgrKFxvGmYM3LRtzvu54pvHrN6WNA0yqTfZ94DMJTASlq2ePY8ZijuFbnxd/DreecZzwyA0wI/C5CCr4KiFsiVxCyXdJYzpx1x3vt7UHxMFQPLneUXTt8PDLwrj+siPxOvDL1o/YPmHQM7tQi9rNPBhRSeSBLcut5UUlbUOWTTZ7zyz1aLZ/qjhGIBlCVmjVrE7L47DlV3ojbaexNfufc3lR9qetJ2y3jIGJwfd+i9YkhimoPq9mYcdz9JRzuXNkjby4kNZkRAGwLRxmsNNh9mdsht/tQPd/jePeX3cudibt3a/76AocR1W/NHn8pG5kqUdSTsI0gTxdp3zKqg3FOYc5QtdsfzmMau3J2p60KpVdmWAPXG51Gq1bMbWyHbn3m2+JjZnCSP+dK1zp8i6uHVISHzaYT+IXsEaxdBWuGaMThk4XdtLvYtqUzc9DScgrgCCPQs4dMTpul5UEmzMcKOSYMYOaD0HU7Pf1am2U8QHx5Me5llqv7msSQ+ksmOYrmHH+bqdsTVxKwaTgeIO58V1FgUVfxRe0YxdttvSt8O6r8GJH4tXe6sY+Q/CWA80neTDik7Wp0YRYydF17d2ZNqsVmzO1DGuuUR+dD5xwbPG+R35cQxPGvi03rn+0hHbErdhkk2cbL+Bq/tVvy8ekFY+7PVQ9T2jXGwZ5ME1sznMDzcfZkQ/wj3p93g9/jWh8BGRGaPJNytHn1+TyKTexHtl7Za2IL8g7ki7gw8bP7x5crPXHYGYPFHy3guOVHezKTOaIK1tmtYzAyJ+5Za+dpttCyE3LpToYK0ltscRkQGRrIhewZn2myjtpxcohrbCNeHQlS42/9thHv3vYnb/n+N89/cX3QqGM+dtfq3qNS523wTVp/QTotiAD5aq+fVOq7cna3tZmRRhV9trQ/oOMBksP7J6o55POz5la+JWJEnivn3eGVivt/wAgOMe6oRXx6wmSBPEqbZTXp3HNccwDVXvwfJ77XtFG07A+efF3+eft9Vsg8jfrA1h5MIBqjpHuD3fdYCs+fvpGe+hrLeM3SnWKQW358QQpFVzsLzTZt8vvvtFl+Pn6/KJCoi6seUjF/eLgDV7D0gL5K3SNlQS3L961tB+s+ZNEoIT2JSwyfGO8+awt9ibtw6/7xWfE1VML77ik2MXJUeQHRvC78+1WLU/kPUAE4YJPm7yTZGcRc3kMDSe8iwn+5xroaF3jPqeMXbn2i8adrr9NJEqLbmtl2DaetXPnXu3+ZqQJIlbMqMtsR7O2JywmUs9lxidVhxprlAMbQWfc7ymh2/+7jxpumBe/Op6ntmVxR9L23hmfykmk+PJqzfp+d4n3+Pxg4/zo+If8ecH/5x/OvlP6E03cMBF40kwTlkHzfmA/rFpLrYMsiPHzWqOKZvALwiuiowAF3suMqYfs5+CzANU/h3Ehvpz3EP5iJ/aj43LNnKy7eTiTjNXfxSmhuxnGzFrsh9+Ubw3y0jmG9vaIMi9C7/qd9FgsEnr54yjLaIgyK5k6+spwE/NrtxYPqroxOhkDjpCJanYmriVU+2nllaaRXcZ6RRFW1Z9EeYXkVkgJpPMH0rb2JKlIy5MLOW3DLdQ3FnMg9kPopIW6c+uNljInSreslrZ8hRJknhkXTIlzYPUdo9Y2otii0gJTeFPdb7Rgy9q6o6IgmC53gW/Hpkpab87z/ahW2/S80nrJ2yLXoXKpIcm77zMW7J0dA1PUdfjXKZ3S8ItGGXj0gpSv04s0hmvsFTpHZ3ir18rJSculNe+uYmdubHsvSOXf7l3BYcqu3jhVIPd/WRZ5vunv8/7De/z7dXf5qOHPuKplU/xdt3b/OD0Dz7jT/EZUvOhMHC91WfP41h1N7IMe5bbpoSzi1+gKKxSfRBmslZoJA0b470ooDMHSYIdOTF8crUHgx2dsDtsT9pO+1g7NQOu88JeNyr+CAEOgunaSqw12WbNtr1CIQUPEWAY4rHYBpKj7KSBc8DRlqMkhyaTFZFls+3Ognh6R6c539jv9nhz2ZW8i6GpIc53LcEqna4o+z3IJlj9Za+HOnG1h9aBCb6wNsnS9ubVN1FJKh7I8j6byTWl6DGRgchHObUfKEpEo5J4/XyrpU2SJO7Pup9znedoGm7yyXEWLdUHRQyMN/URgCNVIk1kSrTtvaC0SxRA2pX3BRFIXevdSsHWmZgeV1mKVsWsIlATuHSC1K8jiqF9szPYIlJajXoeqDaXf/+gmtFJA/seLbLSkn11Sxp78mL5ycc1dA7Z6nTfb3ift+ve5ulVT/P0qqdZFrKMZ4qe4amVT/Gnuj/xXv17Pjm/RYUsw9UPhVHm53mkuIUd37P8ebiqm5hQfwoSwt3fP/cuGG6FzjJOtp0UVQFnKoz99Z5sr07t6VVPsysvluFJA+ebPEvztyt5FxISh5oPeXUu1wz9pJCN5N1nXzay9TuzRrb5u0rfLtrn0Rq1iWE5iC8FnnPr0H+9J5sx/RjFHcXi/8lOGrFdebFoNSob+cjTq5526xhbE7cSqAnkw8YP3eq/ZJBlKH1ZFP7Q2T6gLJSXP21CF6K1ZIrRG/W8VfsW2xO3W+nm7TJnDvsCe/PW6fedvBGis+DCSz45fkyoP7vzYnnjQquVdPBMyROfAAAgAElEQVTB7AfRqDS8WvWqT46zKDEaxAph9u2i1P1CmbkWRib1nG3oZ7cDp8nRlqNoVVo2J+8U95OaD6wCWt25d8+9JpKjgsiODbF40R2hVWtZH79e0Wm7gWJo36wYDfD+/4CfFsLvHoCfLIcTz3oVcV7RPsSBCy18dUsaWbGhVtskSeJf7luBwSjz4w+qrLaN6cf48bkfszJmJU+tfMpq27dWfYuVupX8+7l/XxoZJxZCTzUMNossE75g1z8Aouz6ieoedufGolItIG9rzp2AREv5AWoGatieOBuo993bFlBowQ7fXv1tduTE4K9R8YEdnbA7RAdGsyZuDYeaFqmhXXcYpoah4EHXfWe+K0d8UDXAB8b1ZA8cFwa8C757Ww4n206iN+lt9NlmQvw1bM+O4cOKTisJ17dXf9v1+SLKaO9M3snhpsM3lnyk7gj01ojgVC9p6R/ncFU3X1yfgr9GSFDeb3ifvsk+vpjnWgvv6rpYKPbmrdPvW5Jg/deh9azPSrI/sTmNvrFp3r40G6inC9RxZ9qdvFX71o2r8W09K9L65dzp2f4z18Lxmh70RpndubaGtizLHG05yqaETaIAUs7tIqC1d7ZIjTv37vnXxO7lsRQ39DEy6Vy2uTlhM80jzbQMtzjtd7OjGNo3I7IMbz0NZ58TN9XH/wTL74Mj/xOO/qvHwz5/soEgPzXP7Lb/BJ0aHcxXt6Txx4ttVplIflP+G/on+/ne+u+hnqeP1Kg0fG/D9+ib7OP/lv1fj89tUXJ1xjPoSaCMPZ7NBeBcQz8jUwaHHhCHBOsgeSOHZ4KUbk291bJpw4+8M253H9hNsL+GnbkxHCzvcKrVd8ZtqbdRO1hL41CjV+dzTSh/E4Ki3QtsnfmuHPH+5Q4uR+xGNT0itMMu2PCjQ3zc9DFRAVGsjlntsN9dBfF0DE1yqXU2Td/uA/YNc3vckXYHA1MDnOt0z9O+JCh+DoJjbdMxesArxc1IwKMbUwBhCL1Y8SLZkdk2Ffvs4uK6WCj25q3L73v1l0EbAsW/8sk53JIZTV58KC+cbLCKr/jy8i8zph+7cbXa1e+L0vZZezzbf+ZaeP9yB7oQf9al2WaPqhmooW20bTYmI/sO8Xp1dtXJnXv3/GtiT14ceqPssvbBjiRxrzvScsTlMW5mFEP7ZuTcf8PlA7Dr/4N7nhWJ9B96XujzTvxY6IYXSM/IFO9e6uALa5MID3Sc5eLr2zLQqlX86ngdAENTQ/z2ym+5PfV2CmMK7e5TGFPIPRn38ErlK/RPeqYvXZRUvgvxhRCe5LqvO4wKT/H75R0E+KnYlu1BusDcu/jYOMjy8EySQmfPq3tkyqtT65kQ0qS7C5fRNTxFaYtn8pE9KeJHa9HJR6bHhB5zxf3uLROPOvbqdwxNUNI8SELRHcJwr/iDy+G6x4Y53nKc21Nvt3lYncuty+PQqCTeK5stJGL+btxhS8IWgjRBN458pK9OGCXrnrQuLuQBY1MGXjvXzG0r4kiICARENojawVq+suIrduU8Nji5LjzB3rx1+X0HhAlju/wPIkjUSyRJ4skt6VR1jnBmTtq4Al0Bq2JW8UrlKxhNrjNSLSlkWQSVZuwUMRueMNrJ2JSBI1Xd3F0Yj9rO6uTBhoOoJfXsKlZEMsTmW/2Gu3Pvnn9NrEmJIDzQj8OVzuUjSaFJ5EbmcqRZMbSdoRjaNxvD7fDxv0DmHti+d7ZdpYK7/4/I5/zOdxYcdf7q2WamjSYe35zmtF9MqD9f2pDCH0raaBuc4K3at5gwTPCNld9wut83V36TKeMUL195eUHntWgZahVLi/ayU3iBwWjig/JO9uTF2c236oqutM2UBfhzq8aN3NsesHtGJ/xemWc/4PHB8RTFFvFu3buLK/tIzQegHxc5sL3k/cvi/+aOlcmw/HPCgJ92LpvShFxh0jjJPRnOczSHB/mxMzeWty+1e5R9xCwfOdR8iGnj9IL3X3QUPye8juu+6vVQr55tZnBcz1M7Mi1tv6n4DbGBsdydfrfX43+mbHxKpPs8998+Ge5zqxOICtby60/qrdq/kv8VWkZa+KDxA58cZ9HQchaGWqDwC14Nc7iqm0m9iXtXJthsM8kmDjYc5JaEW4gKmHO/zrkDms/AhOfFpTRqFTtzYzhW3e3yPrE7ZTel3aX0TnhW+fdmQDG0bzYO/QBMRrjn/wg93lz8AuCen8BIO5z8idtDThtMvPxpEztyYsiMEcFzvzpex+k664l3uq6XXx2v4xvbMwB44WQdr1a9ytq4teRF5Tk9RkZ4Brem3sprVa8xMj3itO+SwFzqeIUPsxAsW0VxQz+9o9Pcu3KZ6/52ODQitH23tlnr6AsSw7w6teVRywFRJXJnTgzvlLV7nH3kvsz7qBuq40r/Fa/OyaeU/wFC4iHVDXkAwLJVDje9VdpGQWIYGTEhQu+tH3e5yhQZW05CcAKrYhyPa+bzRYl0j0xZ5qf5u3GX+zPvZ2hqyJJKcMky2g0lL0Hhw14XE5kyGPn1iXpuyYhmTUokABe6LlDcUczj+Y/jp3Yjlz04vS48wd68dev7js4UZdmLf+2VwWYmwE/N17amc6y6h0sts+PtSdlDVkQWvy779Y3l1S5/E9T+kOvFA9ayVbxX1k5sqD/rUiNtNl/quUT7WLvtQ1zuXeIhaeae4c692941sTsvlr6xaUqana8+7knZg4zM8ZbjTvvdzCiG9s1EVwWUvQa3fBuiHFT7S9kIK78Ip/cJ77cbHCzvoHtkiie2pFnaViaF88z+UsuP+em6Xp7ZX8rKpHASIwK5syCeA1c+oG20jS8vFym1Xih/gbMd1jk5z3ac5YXyFwD4euHXGdGPcKD6wAI/+CKk4i2IXyl+0HzFUyd4t6yDIK2aXXkL1GfP8G7du+T4R5PRUQHdlbPtf+ld+sED981+Zw+tTaJnZIoTVz3LdHN76u34qfx4p+4dr87JZ0wMwNWPhcbX3RzMT9kpVAPUdI1wuW2Ih9bMyHZSt0BInFP5SP9kP3ptFXel3+WWPGHP8lhCAzT8saQNsP5u3GHjso3EB8fzVq1vUsBdN07/HIzTsO1vvR7qzQttdI9M8Re7RNYSWZb5eenPiQmM4ZHcR9wfyMF14Sn25q3b3/eOvxc54Yuf88m5PH5LKhFBfvzs8GygnkpS8dTKp6gfqufj5hukgI3JKNJ85twuZDgeMvDYIY5W9XDvygS7Qe3v1b+Hv9rfNvg5cR2EJVnuGe7cu+1dE3uWx+GvUfHuJed2QE5kDokhiYpO2wmKoX0zceo/wS8YNv+V8367/gFkI5z6mVvDvni6kXRdMDuyZ4ujbM7Use/RIp7ZX8pPPqrmmf2l7Hu0yFIy+qtb0jCEfEKYJsYSyFEQXcDe43stxvbZjrPsPb6XgugCAFZEr2DTsk3sr9yP3riEi9gMtszIRnybU3fqrb/mYHkHty6PI8Bv4UU36gfrKe8r53M5D4OkhrLZm+8//KHMq3P7/unvW/7elRtLVLCWNy60Ot7BCeH+4exM3snBhoOL4zq4/IYoOrTqS+7v87b9OfhmSSsalcR9q2aWilVqsepR85GoMmeHgw0HMcpG7kp3ryhGgJ+aewqX8UFFJ+PTBqvvxh3UKjX3Z97P6fbTdI75VlP8mTHWB+eeh4IveJ3Sb1Jv5BdHa1mVFM6WrGgAPu34lAtdF/jGym8QqAl0fzAH14Wn2Ju3bn/fy1ZC7j3w6S9EaXovCQ3w4xvbMjhS1W3l1b4t9TbSw9P51cVf3RjZbOqOwli3WCnxgrde/k+mjSYeXmcbwzNpmOT9hvfZnbybYL9g640qlfhtqT0ME4Nu3bvtXRMh/hp258Xy3mXnRa4kSWJPyh7OtJ9haMr76+RGRDG0bxaGWqH8DVjz5xAUBSd/aluRruGEaI9MExXSLrzoMhjmYssgpc2DfOWWVJun7s2ZOh7bmMJ/HqnlsY0pFiMbICS0B01wPfLwFtSSMAo3LNvAszueZe/xvewr3cfe43t5dsezbFg2m+z/ifwn6J7o5v2G973677iuXJrJHVvgnX5vPh9fqGRwXG9VKGMhvFP/DmpJzT3L/0wUr7n8OpiEvOPVs96lb3rz6puWv7UaFfevTuDQlW4GxjzT+X4+6/P0T/YvjjLOpS+L2IaFLPuX2OYpNppk3iptY2duDLqQOYF5BQ8JQ/6KbXYGWZZ5o+YNjBNJ5Ea5n7HigaJExqeNHLzcafXduMv9Wfdjkk2LZ1VhoZz+mZDkzI1T8ZDfnWmibXCC/3FnHpIkYTQZ+Y8L/8Gy4GU8lP3Qwgazc114g715u6Dve8f/EEb2mV/45HzMXu0ff1hlibFQq9T8VdFfUTdUxx+uug78XfSUvCiCmHM8rwYpyzK/bwyiMDGc5ctsveIfNX3EyPQIX8hx8BuS/6CoSFn1nlv3bkfXxL0rE+gdnaK4vs/udjN3Z9yN3qTno6aPXB7rZkQxtG8WPv0vEQm9aSZfZuIa6/LP5vLQiWvE+21/C0a9S6/2i6caCPHX8JAd4+50XS8vFzcD8HJxs5Vm+5XKV9BI/rS3rLSKRN+wbAOP5D7Cc2XP8UjuI1ZGNoi8ndmR2bxY8eLiCoZzF5MJLr4iCgtEpvp06N8bd5EYEWip7LUQjCYj79S9w+aEzegCdeJBa6hFlBS/Bjy8Nplpo4nXL3hmwG9J3EJKaAr7q/b7+MwWSFcFdFwUGXvcySrhhJO1vXQNT83KRswkbwBdLlz4jc0+F3suUjtYi35wYZXnNqRFkaEL5pVizyrzJYcmsyF+A2/UvLH0vJADTfDpr8Q1HuNdOr2hCT37jtayPSeGLTPz7q3at6jsr+S7a7+LVm2ncNFSImG1CNg+9Z9uSwmdERrgx3f2ZHOqts8qo8WelD2siV3DLy7+Ymnn1R7tFsHLq75kv2iVm1S0D1Mlp/KIHW82wBs1b5Aalsr6+PX2B0hcAxEpbmUscsbuvFiCtGreKXP+3a+IWkFGeMbSffC+xiiG9s3A5JCo9JX/wKxxZy7//PoTcORH4nVueeioDFj5CJz/DYzZjybuHp7kvcsipV9ogHWwj1mTve/RIgCLjOR0XS8DkwO8V/8en8u8j+jACH5zutGy39mOsxYN9oHqAzaabUmSeCL/CWoHaznVfsrL/5jrQNMpUVCg6M99OmzrwDgnTQV8YW3SworUzHCi9QRd412zJaKX3wfBMT7LOjCfFQlhbEiP4qXTTR4FRaokFV/M+yKXei5R0VdxDc7QTUpfEVkrChegw3XA7840ER2stc1/Lkki/VzbBWi/aLXp9erXCfELQT+0sCA6lUriy5tSKWkexDjpWeDso8sfpX2sfeml9jr8Q/F/uvufvR7qF0drGZ7U8/d3CoN9eHqYn5X8jDWxa7gzzcNCJYuNW78vpISH/6dPhvvyplQyY4L51/crmTaIuS9JEn+3/u/on+zn/15ewvUSLu4XgYhrvuLVML8900gAU3xuVaLNtqsDVyntLuUL2V9wHJMhSeIBqf4Y0Xgu5wjUqrl1eRwHyzst35X9w0ncl3kfpd2ltIwoxWvmoxjaNwPnfwPTI7ba7PTtohraiR+L1/Tt1tu3fhcMkw4LF7xS3IzBJPMVOyn9ylqHLJrs4n/cY9Fsl7UO8UbNG0ybpnk8/zG+tCGFQ5VdtPSPWzTZz+54lsMPH7bISOYb23el3UVsYCwvVrzoxX/KdaL0d+AfBnn3+nTY359rAVQey0Zeq36N2KBYdqXMFD7Q+Isfi+qDMNBE8T96WHRhhsMPH7Zpe3JLGm2DExyq7PJozAeyHiBQE8j+yuvk1dZP/D/2zjssquNrwO/SexEpShNEEMEK9m40tkRNjNEYUzXd1C+J5peuppueGFPsvSUmauy9YldQ6YKA9N7ZMt8fFwtK2Yaiue/z7APs3jt32DMz99wzp0huQEHDwdZFt3PfqJnVRaoomMkj3a5VFKxBx/FgZl3Dql1YWcjWpK2M9B9JxDu6Zzd4qIsXVuYmDHWepfO5AAO8BuBt783i84v1Ov+2kHpccqHrORUcb1ZidCEmo5j5By4yLsyLkJZSruQfTv5AYVUh73R/R7u82Tdyw7gwlNrmbW1zsV6cW0GPF+DMckg9YXCfzE1NeG9kOxJzSpl/8OLV90ObhzK69WgWn1tMTF6Mwde55ahVkt+/b29w1b+Sbk5JJetPX2ZsZ08cbW7OVrPk/BKsTK0YHTC6/oY6TgSNij33NhxHUd+YeKCLJwVlSrafr3+dvs//PhQo2Ji4scHr/deQFe27HVWlpCj79Ze2Aa/n4j44Pk/y5zo+72afbdcgKcXT0d9uCsSqVKlZFnGJgUFu+DW/IRgDeL5/66s+2ZGp0hN1r9bNmdzXh5UxK+nRogetnVozqYcvpgoFiw4lEZUbddUn+3zu+as+21G5UTXaNjc159F2jxKRHsGF3As3XbvJUpIlRaN3GA8WNkZrtkIpyWKwD3g3073dpMIkDl0+xLjAcZibXLewhz8FChM4Pu+qDPXlfO7NqfiGtPPA08ma+QeT9GrT3sKe0a1H8+/Ff29PUF7kGqnEcrdndT83vaZlelnEJUwUiqsVBW/C2lny1T675upcXB2zmipNFQ8HPayXfBxtzBnVsSWbzmZT1ECp5dowNTHl0eBHOZN9hjPZZ3Q+/5ajVko1AuxbQJ/XDGpKCMH766OwszJj+nApNdrR9KOsilnFxLYTG0xXWic3jAtDqW1c1DYXG6Tvm9L3tuEV6Xs0kAFBrtzbzp1vt8dyMedajvg3w9/EwdKBjw59dOel+4veAIWXrrln6snyiEtUqTQ81epmv+issiw2JG5gTMAYnK1uTvlXA7e24N0dk1OLJbfReqhvTPRr44qnkzUrjl6qtw0PWw+6eXTj7/i/7zzZNTKyon23E7kGitOh9w3W7Cs+2eMWSn5cV9xIblS2+75R7XpS0z/038h0ckoqebKBAjUAUxYfv/r7zuSdZJVlMSl4EgAejlaM7NCClcdSGBfw2FWf7Jd3vQxIPttPhz59U5vjAsdha27LovPGDR5qVI7Pl9KJdX/OqM3+fTqNvNIqnk7Xb2t32YVlmJmY3RxY4+glPWidXMwriw8Y1Mcr8rweUxMFT/ZqxdGLeQ3maq2Lp0KlQiN/RDaOi0udCCGlPXMPhVZ9dD9/xYSrv1Yo1aw6dokhwdcqCtZKtymgLIUTC6hQVbD0wlJ6e/Ym0DmwxhzThcd7tqJKBcuO1H8TrYsHAh7A3sKe+ZHz9Tr/lnJkDmRGwoivwNLeoKZWH0/haFIe7wxvSzNbC8qUZXxw6AN87H14pYsBmUOuGxfGoLZxUdtcbBArB6n2QmYUHPzO4H4pFApmjgnFwsyE6evOoqnOauFk5cS0rtOIyo26/fEXuiCElBK3mb+0w6UnFUo1iw9LNSkCNt+cxWjphaVohIbHQx7XrsEuT2BbfFEqYFMP9Y0JUxMF47t6cyA+h+Tc+gtnjQsaR1pJGvvT9mvXv/8IsqJ9N6PRSLli3UOlSpDXk3aypk/2FZ/ttJM1j/MMk6zhh38GZQUgWXMWHEyitautzmW+l15Yire9N329ruX2nNzHj5JKVbX7g3bYW9gzts1YtlzcQnpJesMn3G5UldK2YsAQaN7GaM1qNIJ5By4S3MKBHia6W/dzynP4K/4v7ve/XwqCvJFer0B5PpNMGye7x8TuPjSzteDb7bF6nd/SriUPBDzAn3F/3lqrdvJBSeno/pzBQZBrTqSSX6as1QWrBi07V8/FOfwT9yd5FXlMDp1s0LVDPR0xtY1h3oFEKpS6W6FszG14rN1j7ErZxbmc2+gr3xC5CbD7MyldXfD9BjV1KbeMGRvO09PfhXFh3gB8fvRz0krS+LjXx7ql87uTaDtSSjW590vI1m++Xo+7gxXvj2xHxMU8ll4XlDvcbzh9Pfvy/cnvicuPq6eFJkTyQUg7Llmztc2lXwvLIi6RU1LJCwNurq+QV5HHquhV3Ot7L9723to1GDKGImEtxWgZwMPh3pgoaPAePchnEG42brfPna+JIivadzPx2yE7Gnq9fLMy0Oe1m32y/frVvqXa9/+gJFPy0QNOXirgbGohT/RqpZMf4tnss5zJPsOjwY9iorg29Dp4OdHNrxkLDibpFBh3xSq+9MIdUJb97Copt2qP543a7NZzGcRmlvBsPz+99L3F5xaj1CiZ3L4Ohc27K7QexLNmm6CqzLDO1oKtpRnP9/dnf1wOx5Ly9GpjSvspCAS/n72FQVSHfwbrZgbnylWqNczdk0AXHyd6+GtR9r7PayhLMph/ag6hLqGEu4cbdH0Ai+Z7yCmpYvVx/YKYHgt+DCdLJ3489aPBfWkU1EpYN0XKAjHiK4OaUqk1vL76NCYmCr5+uCMmJgr+SfiHv+L/4pn2zxDuYbg8mjQjvgILW1j39FXDiyGMC/eif6ArszZd4PxlySVKoVAwo/cMbM1teWvvW5Sryg2+TqMihJRQwM5Dyj6kJxVKNXP3JtDT34Ue/jfHfPwR+QcV6gpe6PiC9o1a2PK3urfksliS1fDxdeDhaMWgtu6sOpZS7wO5uYk544PGczj9MImFiXpf725DVrTvZg7+AA6ekm9nfdzXwFagXz/Jsn3gO1CrmHcgEQcrs5vTkNXBpw+0B6QgDjtzu2uZLa7jmb7+pBWUs+WcZJX8oOcHDbbbwq4FQ1sNZW3sWoqqai/m0SRQK2HfbMkieePOggFoNILvdsTh72orRac3JMcbKKgoYFXMKoa1GoavQz2pBvtPo7miqNb0ctpSnzwf69GK5naWfL0tRq+UjS3tWjK2zVjWxa27NRaw9DMQ8y90fx7M9bReVstq/ak00grKmTooQLuHVv+BrPMMIk1ZyEsdn796zpU5pg8fD3qMcF9nft2bWG9mgbqws7BjcuhkDl4+yLGMY3r3o9HY/SlcPgn3/2BwAOTPuxM4kZzPrDGhtHSyJj4/nllHZhHuHs6LnQzzzQV0nsMNUdu40GZtrRM7NxgzFzIiYdt7BvRMQqGQHlicbcx5aflJSiqlVJHNrZvzWd/PSChM4POjnxt8nUYlYRdcOiTlZNd3PUDKNJJdXMlrg6t3PK8bC+kl6ayMXsmo1qPwd/LXqV2nQa9KLotHf6vzGG3GxNN9WpFbWsW6k/UXGhvbZizmJuayVfs6ZEX7biX1BCQfkKLFTW+OXK5B+FP1f65QQJ83oCCZ3KMr2RKVwcTuvthammnVlYndfUgvSWd78nYeCnzo5kpWwD1t3WjlYsPv+y8ihGBcoHaWwidDnqRMVcba2LVaHX9bOLsaCpKlksYGuhlcz79R6cRkFvPqPW0wNVE0LMcbWHBuAeWqcqa0n1L/gT49pIet/d/oXSGuPnlaW5jy8qAAjiTmsfWcfhlIpnaaiq25LV8c/aLx86vv/RKsHA3ztQ9/iiqVhp92x9OuhQMDg9waPgcoU5Uz18aUsPIKemclXX2/ziBKLXg4aByv3NOGtIJyFh9OaujwWpnQdgIeth58fvTzppVXO2E3HPgWujxucCXWXdGZfLczlgc7ezK6kye55blM3TUVazNrvuz3JWYm2q2H9aLjHG6I2saFtmtrnQQNk7K2HPtdspQaSHM7S36Y0Jnk3FKmrb3mr92rZS+mtJ/Cn3F/Nl2lTaOGnR+Do480xvQkp6SSH3fGMyDIle5XrNnXjYWvT3yNicKEFzvq/jB3/6B+ktvPsT+gqnYfa23GRE9/Fzp6OfL7vsR6K0W6WLswqvUo/or7i6wy/a3odxOyon23cuAbsHKCsCcbPvYjx4aPCRoBrm1R7fsGEwU80Uv7Yiutpm9iRbRUDXFi24m1HmNiomBKX3/OpBSwPy6H9ou0s9AFuwTTvUV3lp1f1jTKcd+IqhL2fgEeHSDQeHl1q1QavtkeSxs3O+7rUF2uWxs5VpNanMqS80u4v/X9tHFu2Gd8ZPRQKMuVlEw9aEiej3b3oa2HPTM3nqe8SndfYScrJ6Z2nkpERkTjVotMPwPRG6HHS2DtpH87Hzmy9EgyybllvD0sSGsXrAXnFpCrKuE18xYo9nx21Z2n1fRNenel/aL29At0pV+gKz/uiqegTPdqnVZmVkzvOp3Y/FiWXVimd1+MSm6CFODtGgTDDLOKJmSX8OqK04S0dODTB9tTrirnlV2vkFuey0+DfsLVxtU4fdZhDmtDbeNC27W1Xu75ELy6wV8vwOVTBjfX3d+F6cPbsikyna+3X0vtN7XTVAZ4DeCLY19wIM2wgOxG4eRiaU0Y/KGUElVPZm+NoVyp5v372l17s3osHLp8iK1JW5ncfjIt7HTPed9q+qarsTacqt3NUpsxoVAoeK5/a5Jyy9h2rv54mCntp6ARGuZH3QFB0rcAWdG+G8mOkZSBbs8aHF1/FRMTyru9jHt5Am/7J9HCUYctMpMK1sauZbDv4HoXinHhXng6WfPN9tiGshHV4EpZ9s1Jm7U/6VZx5BfJmj3kY6NasxcdSiIxu5Tpw9tK1mwd+e7kd5gqpNLH2nBO+EGXx6RUkTnGd88wMzXh41EhpBWU8/PueL3aGBc4jiDnID6N+JT8Cv2ymNSLELDjI8Ot2UChsOHHXXH0CWhO/0DtlLTkomTmRc5jhN8IOg3+XMomFPGLQf24nndHBFNcoeT7nfrJd5DPIPp59WPO6Tm3J93i9VQUwopHpPSUj6yU/Ir1JKekkimLjmNuZsLcSWGYmmh4e+/bROZE8kW/L2jvagTF9U7DzAImLAM7V1g+AQrrdyfQhmf6+vNINx9+3p3A6uqgO1MTU77o9wVtnNrw5t439UtN2FiU5UnFj3z7NOyeWQ/HkvJYdTyFJ3q1orWrXY3PylXlfBrxKd723rVm39Ian+7g3UNy/1Tq7/M+NMSDVi42/Lgr/urOQ2142Xtxf+v7WRu7luyybL2vd7cgK9p3I2CX1FwAACAASURBVAe+k4pbGDmN3KLiMFJFcx6tWtdgXs7rsXA+TLGymKdC6t8WtTQz5aWBAZxOKUBdqn3C/94texPgFND0yrKXZEm+2YHDoPUgozWbVVzB9zvjGBjkyj3B7jqffzzjOFuTtvJU6FO42+pw/qD3wdwG/n1TJ/lrS3d/Fx7s7MncvQl65YU2MzHjkz6fUFhVyKwjs4w/FmL+lfwxB7xjmDUb+FI1gcJyJe+MaKuVNVsIwacRn2Jpasmb4W+Cby9pl2n/N0ZRcgCCPOwZ39WHxYeTiUrT/ftXKBS80+0dBIJ39r9z+3LpKitg1STIS4CHF0MzP72bKq5Q8uSCo6QXlvP742G4O5jzf3v/jz2pe3i3+7sM8jHevL7jsHODiatBWQZLx9ZZQVhbFAoFM0aH0LdNc6b/eZaN1WW/bcxt+Omen3C0cOTZ7c82nWI2/74FlUUw/Au9jSjlVWreXnsWTydr3hhy8z1v9rHZJBcl82HPD7E01d9iDsCg96D4MhzVP2jc1ETBa4MDOZ9e1GBZ9mc6PINKo+LXs7/qfb27BVnRvtsouASRqyHsCbDVMvWeFi4NpZUqfj2Qwi6XR7DNOgHxO7RqukxZhq3rQfp69iWkeUiDxz8U5oWXszUWhQ9qrSgpFAqeCn2KuPw4dlzSrl+3hJ0fg6oc7tWv8l5dfLpJKl38wf03fJ9ayLFcVc6Hhz7E086TJ0Oe1Pqa97R1k26sgz+CxD06B0b29+qv1XEf3h9CcztLXlt1Sq90c0HNgnip00tsS97GhsQNOp9fJ8oK2Po/cG0LXRvwaW+AY0l5LFMP5qneflcrCjbEqphVHLp8iFe6vHLNTWHYZyA0sOn/uCdIf9eF62UzfZiUF/rNNWf0Coz0svfivR7vcTzzOL9F1h181WiolbD2KakewOifwa9vw+fUQWmliimLjhOdXswvj4YR4mnDG3vfYHfKbt7p9g7j2443YserMaJ7GVTP2xvQdi5qhVswTFgO+cmweLRk5TUAc1Np1yDctxmvrjzN5kgpdauHrQd/3PsHlqaWTUPZjlonVRjtPw08QvVu5vPNF7iYU8qXYzvcFPO0N6A3q2NX80S7J+jeorve17g6Bvz6SsH4+7+G8oIax+gyJkZ1bElwCwdmb4upd43wtvdmXOA41sauvXPSNDYWQoi74hUWFiZkhBDrXxRiRnMhClKM2uyc3fHCd9pGcSoxQ4jvOwnxUzchVMoGz5sfOV+ELgwVp7NOa32tVUcvCd9pG8U/p9O0PkepVoox68eI4euGiypVldbnNRpxO4T40EGIbR8YtdnNkZeF77SN4pttMXqdP/vYbBG6MFQcuXxEvw5oNEIsGi3ErBZC5Cbq10YD7I/NFr7TNor//XlWr/NVapV4cvOTImxJmDiXc844ndr1iSTP+J0GNVNepRKDZu8WvT7bKUoqGp4/QgiRkJ8gwpaEiee2Pyc0Gk3NDw/+KPUrcq1B/bqerVHpwnfaRvHtdv3GmBBCTN83XXRY1EEcSD1gtH41iLJSiNVPSN9HxG8GNVVQViUe+PmA8Ju+Uaw/lSryyvPEo5seFe0XthfLLyw3Tn/vJuJ3CjHDVYhfegtRlGFwc8UVSvHgnIPC/51NYtWxS1ffTyxIFINWDRI9l/UUR9OPGnwdvchPFuIzHyF+G6TVPbAu1p9KFb7TNooZG25eo5IKk0Sv5b3E2L/HikpVpSG9rcnl00a5L+2OzhS+0zaKP/bXfw/IL88XvZb3EpO3Tr557boLAI4LLfRT2aJ9N5ETB6eXSxY3R+1S7wGwvH7LTEmlit/2JTAgyJVOfu4w+GMpP/fp+vNXl1SVsPDcQhxEOzq6dtS6O2PDvHCwL+Kzfy9oHRhnZmLG/4X/HynFKVcDL28blcWw4VVoHii5GRiJ7OJK/vdXFO09HZk6KODmAxqQ47GMYyw+v5iHAh/S2UIyeWF12jaFAkb/JBVlWKt9Lt2pO6dqfa0+bZrzXH9/lkVcarDsb22Ympgyu/9snK2ceW33a+SW31zKWCfSTkguQB0mGOwCNGPjeRKyS/nM+R+tsvaUKkt5c9+b2JjZMKv3rJvdTLo/Dy07U/rnq1CgXx7sG2Vzb4gHD3T25IedcRyK188d4L0e7xHoHMj/7f2/W2N9rCqFlY9IWTCGzIRuz+jdVHZxJY/8doTItELmPNqFYN9SJv07iQu5F/h6wNc80vbmin1Go4E5rCtX5+116DIXtab1IHhkuRSAOm+IwXEcdpZmLHq6G71au/D22rN8uz0WIQR+jn4sHbEUVxtXntv+HFsubjHSP6AlVaWwYqK0k/Tgb2CqX6aZC+lFTF8XSddWzkwf3rbGZ0VVRUzdORWTqlK+HfAtFqYWBnW5xhho0RE6ToTDP0HWtQJnuo6J/oGu9G3TnG+3x5JRWPc9wMnKiRc7vUhEeiMHqTdxZEX7bmL3J5Jvdp83dDsvtv7Fau6eBPLLlLw2uNqHLPh+8OkJu2ZJkcx1MC9qHnkVeaQn6aacmJooUDZbzuXCCn7Zm6D1eX08+9C7ZW/mnp1LTrlh/oJ6I4Tku1eYKm1dm1sZpVm1RvDG6tOUVKr45uGOmJvWMnXrkWNOeQ7T9k3Dx95H8vHVkZ3R16VpcvSCMb9IuYk3v6XV+XtT9+p0vbeHtqV/oCsf/B1FRKLuirKLtQvfDfyO/Ip8nt/xvP551pXl8NfzYO8h+WIawN+n01gecYnn+vvTL71h1xu1Rs30/dNJLEjk836f116509QMxs5Do1ZJLhMq3TOG1CabWWNC8Xe14+UVp0gv1D14ytbclp8G/YStuS0v7niR5KLkhk/Sl9IcWPKA5D9//w/QW/8S6FFphYz+6QCJOSX88URXKqwieHTTo5Spyvhj6B8M8R1ixI7XQgNrsa7UmLfV6DoXtSZgMDy5UVJG590LSYZlCbGzNGP+k10ZF+bF9zvjeGWltP61sGvB4uGLCW0eylv73mL2sdkoNbcg45RGA+tflCrCPjQfXG6u3qgNKXllPDH/KA7WZvw8sUuNtbxMWcaru14ltSSVb9Mv4+2gZQXIerhpDNw7U0qSsPEN6X9C9zGhUCiYNSYUpVrDR//UXxH24aCHCW4WzCcRn5BXYZhr0Z2KrGjfLaQclaw5PV+UIsGNRFpBOb/vT2R0p5Z08q4OAFMoYPiXkj/e9toT3aeXpLPk/BJG+o9EU6GDdb0aM5skRnVsydy9CcRnFWt93rRu06hUVfJpxKc6X9MonFwMZ1ZIvnve3YzW7FdbY9gfl8PM0SG0cdctk4xSo2T6/ukUVRUxu//sWvOY60zwfVLF0JOL4chcw9u7AVMTBT9M6Ix3MxumLDquV3BeiEsI3w78lviCeKbunEqpsvYcsnUiBPzzimSdG/2zQQGQkamFvPNnJOG+zrx5b5AWlxZ8eexL9qTsYVq3afRq2avug11aM035DKQeg63vGCVQ1dbSjLmTwqhQqpm88DhFFborMu627vwy+BeUGiVPbXmKxIJGqBR3+TT8NkD6OW6hFJuiJxvOXOahuYcAmP90MJsyvuL9g+/T0bUja+5fQ2e3zsbp892MZxhM2Q42LrDofilYV6O7r/8VzE1N+PKhDrw9LIhNZy8z6scDXEgvwtHSkT/u/YMJQRNYdH4RU7ZO4XJJ/cF5BiEEbHwNzq+XFNU2+j1wZRZVMGleBJUqDYuf7o6bwzVDTLmqnJd3vczJrJN80vsTwisqjdX7mtg2hyEzpCI7Jxfq3Yyviy2v3NOGLecy2BJVd5YhcxNzZvWZRVFV0e27L99mZEX7bkCjljJB2LeE3rWUUDeALzZHA/D2sJrbW7ToAD1fkhStWiwX3538DiGE1unjauO9+4KxtTDljdVntC7N7ufoxwudXmB78nZ2JN/iwMi0k5I1u/Ug6P+20Zr9+3Qac/cmMLG7D+O76laYRAjBJ0c+ISI9gvd6vEdQs4aVPK0Z+C60vQ+2TIOza4zXbjWONuYsndwdB2tzHpsXwYV03a3SfTz78HnfzzmbfZantz6tmxvJ4Z+kwOKB70LrgTpf+wqXcst4auFRnG0smPNol9p3I65DCMHs47NZHr2cx9o9ppWrwr+aHlKu3GN/wEHjVBcMcLNjzqQw4rKKmbLouF7BqYHOgcwfOh+N0PD4lseJSI8wSt8QQlp75g+Vfp+8FdqN1qup0koVb689w8srThHS0oFXRpcwPeJxtidv56VOL/HrkF9r302QqZ1m/vDsbmg3RgoIX/4wFOmvBCsUCl4cEMCyKT0orlQx+ueD/Lw7HgVmvNvjXT7v+zkX8i7wwN8PsDpmtfGzDWk00v315CLo+yb0elmvZhKzS3hwziFyiitZ8FRXgjyuGUzyKvJ4ZtszHMs4xqzesxjhP8JYva+dTpPAfwBsfReyY/Vu5tl+/oR6OjD9z7P17nwFOgfyYscX2Zq0lfXx6/W+3h2LNo7cd8LrPx0MefQPowdECSHEvtgs4Ttto/h6a3TtB1SWCvFteyG+6yBEeeHVtw+kHhChC0PFjyd/NLgPm85KwX/fbY/V+pwqdZV46J+HRL+V/URmaabBfdCK3EQhvmwtxLehQpRkG63ZPTFZovU7m8S4uYdEhVKl8/lzT88VoQtDxfcnvjdan2pQVS7EgpFCfNxMiKi/GuUSF7NLRPdPdojQD7eIwwk5erWxN2WvCF8SLkasGyESC7QI4oz6U4iPnIRYOUkKANWTS7mlou8Xu0THj7eKuMziBo9XqpVi5uGZInRhqPjkyCe6BRCp1UKseVpaC47N17vPN/L36TTRavpGMeHXw6KoXL9A4+TCZDH6r9Gi46KOYkHkAqFS6z6Wr1KcJcTyR6T/c8FI6W89ORSfI/p9uUu0mr5RvPXPejFx46MidGGomLBhgojN037NkakFjUYKSp3pLsSnXkIcX2jQXBJCiKyiCvH8kuPCd9pGMfy7feJkcp4QQoiUohQxectkEbowVDyx+QnjBUFXlUlrwIcOQmx9T+/+H4zPFl1mbBNdZmwTZ1MKanwWnRsthq0dJsKWhIltSduM0WvtKEoX4gs/KYBVWaF3MwlZxSL4/c3i4bmHhEpd9/ejVCvF01ueFmFLwkR0bh06xR0GWgZD3nYF2Viv/6yiXZgmxGfe0g1H30WslptySYVS9Ppspxg4e7cor6rnpph0SIiPnIVY85QQGo0orSoV9665V9z/1/1Xo6WXHUnWuUurY1Zf/f2VFSeF3/SNYn+s9gpsfH686Lq0q3hi8xNCqdY/MlwrijOF+L6zEJ/7CpFtvJvzkYQcEfz+ZjHsu32iUBsF5wY5/n72dxG6MFRM3zfd4IjvemVYXijEH/dKiunxBbUecr089SE1v0zc8/Ue0eZ//4o/T+qXUedU5inRd0Vf0W1pN7EpYVPdB8ZskR4c/rhXiMoSPXssRFxmsej+yQ7R/sMt4tSl/Jof1jLnCioKxHPbnhOhC0PF18e/1klmV+WjrBBi6UOSYnBQuwddbWTz58kU0fqdTWLkD/tEZmG51v26npKqEvHqrldF6MJQ8di/j4mLBRd1a0CtFuLUMiG+8JcyKx38QXpPDzKLysVrK08J32kbRY9v/hCT/pG+94GrBop1sesMexAwBCM+IAlR+7w1dC7qTE68EPNHSGPy93uESNYz49F1bI68LMJnbRe+0zaKF5edEEk5JUKj0Yg1MWtE3xV9RfuF7cW7+98V6SXphvV7bj8hPnQU4tDPejWhVKnFT7vihN/0jWLQ7N0iMfvaeqLWqMXic4tF58WdxYBVA8SZrDM1TzbSWKh37Y7eLMSHDiJx0XCDHoLWHE8RvtM2ilkb63/AyS7LFoNWDRLD1g4TueW5el+vqSAr2v8FNBohljwoxCwPaVHQlw8dbnrrg/WRotX0jeLYRS0mw96vqq1o88QnRz4RoQtDxYmME1c/9p22UecuhS4Mvfp7SYVSDPlmj+j48VZxKbdU6zb+if9HUlqOfa3z9bWmME2IH8IkGRjhBnKFXRcyReC7/4pBs3eLzCItFZtqOWo0mquW7Lf2vmWUB40GZVhZKsSSsVIfdnwsxA2KyvXy1Jf80krx8NxDwnfaRjFt7Zn6HwDrIL0kXTz272NXH0BuWuzPrpGUuLn9hCgvqL0RLdgVnSnaf7hFhM3cJs5fLrz5gBvm3NH0o+Ke1feITos6iTUxa3S+Xg35KCuFWPW4dI1NbwnRQLpLbWWz60KmaPveZhE+a7s4oufOgkajEX/H/y16Lu8pOi3uJD498qnIKdOirbRTQvwx5JqylqGfxbK4Qim+3xErQj/cIII+/VQMWvaQCF0YKnqv6C1+Of2LKK3Sfn1pFGpZiw2htnlrjLmoM2q1ECeXCPFVoPQ/rnpMiPRIg5osrlCKr7fFiLbvbRYB/9sk3lx9WsRmFInCykLx9bGvRefFnUWnxZ3Eewfe024X6/q+nlgspTD9zEeIC/U8lNdDZGqBGPnDPuE7baOYuvykKL4unef5nPPi8X8fF6ELQ8XUHVNrVzqNNBYaXLt3fSpd68B3Bl3n/fWRwnfaRrHyaP2GtVOZp0TYkjDxyMZHbv98MxBtFW3ZR/tO5sQCqXDMkBl6R0DXxtZzGSw6nMxTvfwIb9Ws4RP6vAEBg9m5+31WRK9gUvAkurh3MVp/bC3N+O2xcDQawVMLj5FXql1mhftb38/4oPEsOLegcVL+5SfBghFQnAGT/pTK3BqBtSdSeXbJcQLc7Fj9XE/c7LXPXKLUKPn48Mf8dPon7vO/j8/6fIaZiX4pqHTCwkYqXNHlcakgghEqxd2Ik40Fy6Z056WBrVl5LIURP+zniI4ZSTxsPZg3dB7PdXiOLUlbGLV+FKuiV6FUVUkVVddNBs9weHy9VGpdRypVar7aGs3TC4/h6WzDXy/2JriFQ53H51fkM+vILCZvnYyVmRVLRizhocCHdL5uDcwspKwIPafC0V9h0SipkJWBDGzrxvqXemNvacbEPyJ0Sr95BYVCwajWo/h79N+MCRjDqphVDP9zODMOzyA2vxZf0YwoWPUY/NZfSh03+md4ehu4t9PpuoVlSn7aHU3v7+fyc+SXmPrNxLzlcswti5nebTrbxm7j+Y7PY2Nuo1O7MlpiYgKdJ8ErJ6WUp/E7YW5vWPoQJO7VK4DXztKMN4YEsuetATzSzYcNZy8z5Nt9vLosmnZWE/lr1AYeDnyYzRc3M3r9aJ7d9ixbkrZQpa7n/nH5NCwYBv9MhZad4IWD0FY3f+mknFLeWHWaUT8dILOokjmPduGHCZ2wszQjsSCRdw+8y/iN40kqSmJGrxn8MOgHmllpcZ9tLPpPY6utDWz/EM6u1ruZD+5rR982zXn3ryh2nM+s87hObp34st+XnMs9xxt730CpvgUZY24zCqHHAG+KhIeHi+PHj9/ubtw6Lp+C+cOkUsyT/tS7BCwAHznCR1JWh0u5ZYz8cT9+zW1Z83xPLM1MtWoiLTeGcRsewkepYsnI5Zi3vBah32r6JpI+H6lTl9ovak/kE5E13juSmMsT848S6G7Psme642Bl3mA7Ko2K1/e8zt6UvXzZ70uG+Rmp8lrSAVj9uBSIOmkdeIUb3KRSreGTTRdYeCiJnv4u/Pp4mFb/4xVyZjgzrfuDHM04yjPtn2Fq56mYKIzzLK2TDE8uhk1vSimkRnwFIQ/QfnGHm+RpCAficnjnr7Ok5JXzYBdPXh8ciHcz3ZSkhIIEZh6ZyYnME3hizrPZGYz0GYzlA7/plZbx5KV8pq87S2xmCQ+FeTFzdCjWFrXPn+KPnVj94NfMi5pHmbKM8UHjebXLq3orenXK5+waKVsCwJCPIexpSem5jtrmWn0UVyj5ZNMFVh5LwaeZDf8b0ZahIR5alZK/kYuFF1kQtYB/L/5LpbqSAKcAhvgMpq+pI23Pb8Y8eiNYOkCPF6DHizplflFpVOxOPMPCE3s5nX0ChU0MCtNKzE0sGOI7mDEBY+jeorvR5ohRuG4tNga1jQtd5d0olOdLgbtH5kJZDjj7SYp4p4ng0FKvJvNKq1h8OIllEZfILq6kma0Fozq2pEcbC+IrtvN3wl9klGbgZOnEPT73MMhnEN1bdJdKm6eekAwEMZvA1lWqgNtx4k1zpS40GsH++ByWRySz40IW5qYKHu/ZipcGBGBjCfvS9rE+bj17U/diaWrJ+KDxPNvxWRws6n4IN9ZY0GbtDl8QwnGFHyQflB7SQx7Q61pFFUoe+yOCC+nF/PpYGANrqUx6hXWx6/jo8Ef09ezLNwO+wcrMOKlwbyUKheKEEKLBm7+saN+JlOZIKa0Ant2jfan1uojZDEHDKapQ8vDcw1wuKGfTK321VlyKq4p5fPPjZJaksyq7CO/Kcski2EIqUrPjfCaD27nr1KU9KXsY4D3gpvd3R2fxzOLjtG1hz/wnu2pl7S1XlfP89uc5nX2aj3p+xANt9FtEACkC/ehvsO1d6eYwcZVRdhMSs0v4vzVnOHWpgKd7+/G/EW0xayA7xfXsS93H+3vfplSo+KDnB4xqPcrgPl2PzjLMPA9/vyg9ELYZytH299Gtw+NG7VN5lZofdsUx78BFhBBM6OrDM3398XHRUlkVAhG1joO73uUnazhnaYGjhSOjA0YzqvUoAp0DtVIe47OK+XpbLJujMvBwsOKzB9vXeoMRQnAh7wIbEjbwV+waStWV9PbszZthbxLgXEsBIh2oVz75ybDhFUjcA+7tYchHUinm6v+trrnWEIcTcnlvfSQJ2aW093TkpYGtGRzsrtO4vUJBRQGbYlazPfZPTpamIRRgJQTtrNzw9+xBq2ZBtLRriaOFI46WjpibmoMAjdBQoa4gryKPgsoCMkoziM5NIDIznsyKZIRCSpFmqXCiV4s+jAkaQo8WPZqu5bp6LTYWtY0LfeXdKFSVwYV/4OQSSK7OXuUZBkEjpO/BrZ3ORiSVWsP+uBzWnkhl+/lMqtQa7K3M6NvGBTe3S6Sp9nE27zBlqjJsFOaEqQRhhdmEaSxo2+kprHq9rNUDXWG5kpPJ+ey4kMnOC1lkFFXQzNaCceFePBDuQFzRSQ5dPsSBtAMUVBbgYuXC2MCxPBr8qHYWbCONBW3W7j0pexjgFi7tRKYdhzFzocM4va5XWKbk0XlHiM0s4cdHOjM0xKPOY9fErmHm4ZmEuYfx46AfsbOw0+uatwtZ0b5bqSqTijNcPiWltGpphNyuRelU2bjz5IKjHL2Yx4KnutK3jXa5uJVqJS/ufJHjGcf5Zcgv9LB0k7aqK4tgwgpo1ZvMogrcHXR7Ws0qy8LNpvan4d0xWby49CTN7S2Y/0RXrfJKlynLeH3P6xy6fIipnabyTIdndLdkFaXD3y9Bwk4IHAYP/GpQbmWQbgqLDifz1dZoLM1MmTkmlFEdtbfoFFQU8N3J71gXt45AB3++GPC1wUpbbegjQ9QqODIH9n2FqCpB0Wki9H4dmhu3f+mF5fy4K57Vx1JQC8GAQFfGd/VhQJArVuZ17MikHoddMyXls0UnxP3fE6GoYE3MGnZd2oVKqPC082Sg90C6uHehs1vnGineVGoNe2OzWXQ4mX2x2dhamPJMP3+m9PXH7rqKj8VVxZzKOkVEegT70/ZzsfAi5ibmDG7Zmyc7vUA7F91cIOqiQfkIAVHrYOcMKEiGll2kqpIhY8iqKqxzrjWESq3hr1NpfL8zjtT8cjwcrBjf1ZuRHVrQxs2u4QeV8nyI3Sr1LWEXaFTkeIRwImggp62sicyPJrkomYLKAq37pFE6oKlyxcnMi15eXXgybAChbn56WdxvOUXp4NDCaM3VNi7qW1tvK7kJcO5PiP5XKoYFYN0MfHpIL/cQcA2WLN5ayrK0UsXB+Bx2ns/kfGw0HqXRdDKJp7fpWYptMthjY80RGwcumUl6kAITPGw88bH3x9vOFyeL5libOmOBIyXlpmQXqUkvVBGTUUBKQSEolFhZldGmpQov1yqEeQYx+dFklUlFYpwtnenZsicj/UfSq2Uv3dz4jDQWtFm7r46JiiJY8Yj00HPPh9Dndb12ywvKqnhiwTHOphbw/sh2PN3Hr85j/038l/8d+B++Dr78MOgHfB18db7e7UJWtO9GVFWwcqKk6D20AELGGKXZqg+b8UrAdracy+CbhzvyYBftCswo1Ure2vcWOy/tZGbvmYwJqO5PwSXpYSA/CUZ8Rau17kZxHbmeMykFTF50jNJKNTPHhDK2i2eDN9IqdRUfHPqATYmbGOQ9iBm9Z+BoqYUfrlolWbH3fAZqJQz9BMKfNsxdB9gfl83MjeeJzSxhYJArn4/toLUyq9Ko+DPuT3449QMlVSU81u4xpm6ageWHxtt2vh593H+uUprLkl878lhppfT9BQ6FrlPAf6DeJYxrI6OwguVHpbLt2cWV2FiYMjDIjf6BrnT1a0YrZ0sUCbskWcZXF9XoP03qi8k1hTy3PJfdKbvZdWkXEekRVGkkn87m1m44mrWgqrwZqTnmlFdY4GBpT0//5vTwd8bCXJBXkUdOeQ7ppenE5ceRXpoOgIWJBZ3dOzOs1TCG+A7B8TOfRncRqBVVFZxaAkd+gdw4sG7GWrNKHhqzFHx7g5mlXtdXqTXsis5iyZFkDsTnIAT4u9rSN6A5Xf2a0bVVM9zsLVEoyyD9jPSAE79TUqiEBhy9IfRBCHlQ2gm7YW4VVhaSXppOYWUhyfm5pBQUkZJbTmJOGRezKiktt0aobQhx92RQkA8j27eokaf4juG/4jrSEEWXpQev5MNSYZW864odWTqAkw/YuYN9C7BpBmZWUmyCqQWoKqXqlFUlUvxMwSUoTLlaxVijMCXVNpSjpp35u6ITB4rcwKQEU5skTCzTMbHMlF4WuSgU2hfbMVOY4evgS1uXtgQ3CybcI5zgZsH6uybdQteRGmNCVSlVwIxaCx0mwMivwVJ3S3N5lZrXVp1i67lMUU9flgAAHPhJREFUxod789GokDpd6SLSI3hz75uoNWo+6fMJA330r1twK5EV7bsNZTmseQpiN0tlhg2ogHY9FUo1L374Kbs0XfjgvvqfPK+nUl3JW3vfYnfKbqZ3m86jwY/WPKC8ANY+DQk72ajuzn3TV4Cti9b90uZmkFVUwSsrT3EkMY/BwW58NCoEL+f6t4SFECy7sIzZx2fjbOXM+z3eZ5BPHSXihYDoTVJp+6zz0nb7iK8MchURQnAwPpc5e+I5lJBb7eMazNAQd60sbiqNio2JG/nt7G+kFKcQ5h7Gu93fpY1zG6PfpK/HIEWbank+uAOOz4Nj8yS/TJvmknIVNBx8eoK5tVH6qlRrOJKYy5aoDLZGZdCy7AJDTY8xxuwInmRRYuZMrN8kcoKfwNGpGc62FpiaKDBRKBBCUFKpoqBMSU5JJQnZBURmnye2MJIC1SVMLHIwtcwF07qrTDpaOuJm40aAUwCBzoGEuITQ2a1zTR/EW6BQ1YtGA4m74PQKSs+tw1YISVnx7iYp3O6h4BYMzq1qPIRoQ1ZRBdvOXebk2bMUpUbTUnOZtopLdDFLpA0pmKJBgwm5jqHkt+hDkdcAyt06YW5mhhBQoVJTUaWmtEpNdnElmUUVZBdXkppfRnxWCaXVAZgKBQS62dPF14lw32b0C3TF1V6/B4Umg6xo105pLmRfgKwLkB0NhWlQnA4lmVKFYvUNVRRNLaUAbTsPcPIGRy9wbSvtALuHSp9VU6FUk1NSSU5JFbkllVQoNag0GqpUalSUoDIpQEkhVuZqbKwEGpSYm5hjaWqJlZkVLlYuuNu608yqmXH9/W+Xog3S+rDvK8m41LyNZNjzCNX52mqN4JvtMczZk0CAqx0/TexS5wNwanEqr+95nei8aMa2GctbXd8yThXjRkRbRfsWpCOQMZjyAsmSnXwIRsw2mpKdVVzB80tOcFLThVljQpnUQ7stm9zyXF7d/Spnss/wv+7/q71ynbUTPLoGDn7HvTs+gTndpewoHcbrfOOuCzcHK5ZN6cH8Axf5dkcsQ77Zx+Q+fkzp64eTjUWt5ygUCia1m0SYexjvH3yfV3e/Sl/Pvrza5dVrVRPVKojeCPtmQ2akVOls/DJoO1JvK3ZZlYp/IzNYcjiJM6mFuNlb8t7IYB7r6atVwGlueS5/xf/F2ti1pJWkEdwsmB8H/Uh/r/53xpY4gL07DPyfVLo9bjtErpECJ4/+Vq3kdZf8M1t0lCqPOvroZvEWAspyMc+Jo2/uafoqDzPL+ggKdSYahSlxNp34QvE0y4vaUxipgMiGK6KZKMC7mSuhbqMI821G11bOtPdyxMwESpQlFFUVgQATExPMTcxxtnSW/IebOiYmEDAYAgbTv/gIx3t+BUn7pdeez4FqA4ypJdh7SJZDOzcpwNXMSnooUigkC7mqAtRVksJTmoVbSTaTSrOYpK4CU8AUKs0cSLZuy1+iNwfLfdld5kdBph1kAqdVQN1GEjtLM9wcLGnpaM24cG8C3OwIcLMjuIUDjtZ3wHctYzi2LmDbB1r1qf1zIaTdMnWVND51WDeszE3xcrZp0Ejzn8LEBAZMA9+esG4K/D5QWrf7vK7TrpepiYK3hralh78Lr686zf0/HuClgQE8P8D/pvuel70Xy0Ys4+fTP7MgagFH0o8wres0BngPuHPucXUgK9pNnYwoWDVJ2voa+we0NzD1VzVnUgp4fukJCsqUzAk8zYge2lnDzuWc4409b5BXkcc3A75hiO+Qug82MYW+/8cvl/x4tfRHWP8CHJ4jTeCgEfUq3GPbjNWqP6YmCp7p58+IDi347N8L/LQ7noWHkpjQ1ZsJ3XwIcKt9yyvYJZgV961g6fml/B75O+M2jOOeFj2ZqLYi/PxWFMXp4BIg+WGHPqSXi0OVSrKsbo7KYOOZyxRXqvBvbsunD7TnwS6edfsPV1OmLGNf2j62JW1jd8puVBoV3Ty6Mb3b9NoV7C7GeQCrjUe6eRt0fg15mllC8H3Sq6pUeoBM2A0X98GhH0Cjko5TmIKDp2SRsnaWtowt7UFhAkItZXypLIayXMlCXnDp6vYwAI4+KPz6QetBmAQOI8imGdOAt4Ugu1iyYOWVVpFfVoVGCIQAgcDe0hwnG3OcbS3wdrbBwqx2K5WjpaN2rke1YWRZGSKf+4LGSSnMrqQxqyyB7BjJgpgdI1kOizMkS2JVGajKQVkhuXyYWUjKuJmlJCNbV8lyaOcGzVpLc8glAEs7NwIVCgKBh5AsXXmlVeSWShZEpVqDUiVt01tbmGJlboqNhSmu9pbYWPyHblO3YFxou7beUSgU0lg0q93AckdipLGgzdpQ55jw6wfPH4Qt0yXrduRaGPY5BNyjk9GpbxtXNr/ajxkbz/Ptjlj+PpPG+yPbMSDItcZ9zMLUgtfDXqe/V39mHJ7BK7tfoVfLXrzd9W1aOxkvhfGtRnYdaaoIIVn7Nk+T8vk+vEgKCDEQlVrDz7sT+HFXHO4OVvz2eBghLRtWFtQaNfOj5jPn9BxcrF34ftD3hLiEaH9hjUYKdNk1U/LddvKFbs9ISqwRg39iMor5cVccW6IyUGkE4b7O3BvizuBgd/xdb1C6hYC8RArP/cmi+LWspphCU1NaY8Fwr4Hc2+UF/Jy1n9xCCBKySzl6MY/Dibnsic6iuFKFtbkpw9t7MD7cm25+zep8OhdCcLHoIhHpERy5fITD6YcpV5XjYuXCcL/hjAsch7+TvyFfT9NHWSG56WRGSdkyCi5BYSpUFEhKdWWRJDeFifSgZmkv+VrbuEhKefM24NJGCpxy9Lzd/42MjIzM3UH8Dilta/5F8O0Dgz+UXM10ZG9sNh/8HUVybhldWznz9rC2dK2lXodSo2RV9CrmnJ5DibKEYa2G8WyHZxsl2F9fZB/tO5n8ZCn3bcIuaNUXxs6Ttt0N5HhSHh9tOEdUWhGjO7VkxqhQHG3M4dd+8Ny+Os87nXWaTyM+5ULeBYa1GsZ7Pd7TyZJ334/72fhyX+kPtUrKVXp4DqQcARSST2jgvdLTs0cHMDHl4Q0Ps/p+/ZPnZxdXsu5kKutPpRGdUQyAj5MFwzxK6GObQtuK07hkRWBanCqd0KITFcH3sdnRib8u7+dU1ikAvOy8CPcIJ9w9nGCXYPwc/DAzMaOoXEVKfhlxWcVEZxQTk1FMZGohudXFdFztLRkU5Ma9Ie70Dmh+k/VarVGTWZZJXH4c5/POcyH3AudyzpFVLkWre9p50sezD0NbDaWLWxdMtXG3aUCOhlBDhnpgqDzvOowsK0PkI8umCXELxoUs7zsEI40FbdYGrceEqgpOLoK9X0JplqSf9HhRysKlZc5xkOJoVh1L4YedcWQVVxLm68zkPn7c2+7m9KD5FfksOreIFdErKFOVMcBrAOPbjqdXy163PQe+7KN9J1JeAAe+kZL4m5hJ/tjhk3UawLVxMaeUb7fH8s+Zy3g4WPHzxC6M7HCdFTn9TK3nJRcl8+uZX9mQuAE3aze+6vcVQ1sN1dlfKiqt6NofpmbQbrT0yo6VrNzn/4btH0ifWzqCR3tG55+GE4uk6HIHTymlkzaRz8pyKMvDtSSD512SeD4smZLMeMpTInEsisEiSQqayRd2bNW045hiKLH23ajU+OCcZIGDlTktTLrTzDafLPUxsirOsTF+O+vj10vtCxOEsjnqKmc0SgeEygETYYerrR1BrR1p69GMNm72NLNVoxSXKFInsDKmkPzKfAoqC8gqyyK1OJW0kjSUGqkilgIFrRxbSQq9Rzg9WvTA214PV4A65GgMashQDy7kXTBST+4SjCwrQ+Qjy6YJcQvGhSzvOwQjjQVt1gatx4SZhbQT3WkiHJ8PEb/CykekOKYuj0P7h7XaSTQ3NWFSD1/GdvFi5bFLLDiYxIvLTuLlbM1DYV482Nnraj0EZytnXgt7jSdDnmTphaWsiV3Dnh178Lb3ZmybsYz0H4mHbd25upsCsqLdFCjNkQLCjv4m+Zh2mAD3vC9FShvAucuF/LIngX8j0zE3NeGVQQE8P6B1gz6PMXkxzI+az5akLZibmPN06NM81+E54xd5cA2EAdOlV3GGVG0x6QBknuOB4lKpyMb1XIkkt7C7lqFCo5Z8etVV0nenqrjpMnY2Lti5BkPwZPDoQLZ9ENFqT3Jzy1HklOFUXEF+aRUpeWUUlStRC4FaAxrRERNFJxwsFVhY52BimYGpZSZq23RUdvmUaeIpVRUgEBQABUqITAFSbv5XrwTKuVi70Ma5DQN9BuJt742/oz9tm7Vt8tHVMjIyMjIyAFjYQq+XofsLUsGhiF9hx0ew42Pw7y8p3EHDpdSL9WBtYcpTvf14vGcrdlzIZPHhJL7fGcd3O+Lo2sqZUR1bMjTEAzcHK5ysnJjaeSrPdXiOHZd2sDJ6Jd+d/I7vT37P3MFz6eXZ65b86/ogK9q3CyEg9RicWgpnV0kKYuBwSels2UnvZksqVWw4c5mVx1I4k1KAnaUZz/ZrzeQ+fnWnvrLzoExZxtakrayNW8vZ7LNYm1nzeLvHeSLkiRqFOvTBTZuUW/YeUqBndbDn/asGsvPeBVIap6LLUJQqKdJVpVJAlrIUUEiWfxMzMDWXgrGsnaXJbesGzr6SL/gNlnDX6pf+jhDXUGqUFFcVU6mqpFxdToWqAgUKzEzMMDcxx9zUHCdLJ2zMbBo/ctqu8Z7qtZJhPbhaa1cA6T+DkWVliHxk2TQhbsG4kOV9h2CksaDN2qD3mDA1k1K0hj4o5To/swrOrJCqAitMoc9rcM8HDTdjomBoiAdDQzy4XFDO+tNp/Hkyjff/Psfnm6M59cG9V4PSzU3NGe43nOF+w0kpSmHjxY10ctNfZ7oVyD7atxIhICNSKq16dhXkJYCZtVTqtOfLkoVXDwrKqth5IYtt5zPYG5tNhVJDoLsdD4d7My7MW/LDroWiqiL2puxl16VdHEg7QIW6An9Hf8a2Gcuo1qNwsjKs6qGMjIyMjIzMfwghIP00XNggVaANvk/PZgTxWSXEZpbUdHVtQsg+2k2Fkiy4dEQKbIzbBkVp0vu+faDvG5KvsqVuFczKqlScSM7nSGIuRxLzOJ1SgFoj8HCw4uFwbx7o7Eknb6ebLKgVqgpOZ5/maPpRjmUcIyonCpVQ4WZqzZiAMQz3G05nt85Gt7x+uz2W14fo9hAx5/QcXuz0olH7cdez+zMY+E6jNK2PDK9HlucNGFlWhshHlk0T4haMC1nedwhGGgvarA1GHRMKhVQYqGVnA5tR0Mbdnjbud2CF1xuQLdrGpLJEyjWbcRZSjklZNa6UjrWwg9YDpejcgCFaZxGpUKqJzigmKq1Qel0uJDq9GJVGYGqioIOXI71au3BvOw86eDleVZIr1ZVSRovc81dfcQVxqDQqTBWmhDQPoZtHNwZ4D6D9z/0waaSKgqBfVcE7snrZ7aapV4aU5XmN210Z8jpk2TQh5MqQMle4nZUhZbRCtmjfCpQVUpaQzHPSK//itc9sXMC7B4Q9Kf1s2UmnikoAUWmFjP75IGqN9DDkZGNOaEtHnunnTw9/F8J9nbG1vFmEQgiGrBlCfqVUvMPBwoF2Lu14ot0ThLmH0cW9ixx8JyMjIyMjIyPTyMiKtiGYWkip+OzcpLLRnR4F93bg1g6cW+ldrvsKfs1teaF/a0I9HQj1dMTTyVortw6FQsHLXV7G0cKRdi7t8LTzvONLmMrIyMjIyMjI3GnIriOGoqq688u+Xj5lsD9VfUSmFtLeS7dS1edyz+lWeVKmUeWojwyvR5bnDRhZVobIR5ZNE+IWjAtZ3ncIRhoL2qwN8pjQD21dRxq1rI5CoRimUChiFApFvEKhmF7L55YKhWJV9ecRCoWi1XWfvVP9foxCoRjamP00iDtdyZaRkZGRkZGRkWkUGk3RVigUpsDPwHCgHfCIQqFod8Nhk4F8IUQA8C3wRfW57YAJQAgwDJhT3Z5MY/DbgEZt/v6fDuh8zoSNExqhJ3cYB76DizeU4L24T3q/NrSQ49y9CRxKyKnx3qGEHObuTajznPlR8xkzf1GN946mH2V+1PwGr3cFWZ43YOQ5p88cu4IsmybELRgXsryNiK5rtC7UMxZuXMfnR81nwYntNdbxK2u0NmuDPCYal8a0aHcD4oUQiUKIKmAlMPqGY0YDV+7ga4F7FJIz8WhgpRCiUghxEYivbk9G5r+DZxdY8+S1hfziPulvzy56N9nBy5Gpy09dXaQPJeQwdfkpOtSztRjqEoqV53KOph8FpAX8zb1vEuoSqnc/ZGRkZO54GmGN1oYb13FFpTffnHkfSzspy5m8RjctGjMY0pOaxahTge51HSOEUCkUikLApfr9Izec69l4XZWRaYL49YNxC6WFO3wyHJ8n/e3XT+8me7Vuzk8TOzN1+SkmdfdhacQlfprYmV6t667+2a1FNyrSJvLm3jd5OOhhVsesZnb/2XRrIT/7ysjI/IdphDVaG25ex+GNETNZEDeTUpOYG9boTY3aF5mGaUxFu7Y0FzdGXtZ1jDbnolAongWeBfDx8dG1fzJX6H+T+7xRefWeNjqf80LHFxqhJ3cgfv2kBXzfl9Dv7foXcC3l2Kt1cyZ19+GHXfG8MiigXiX7ClN7DsO8uQm/nv2V5zo8p7OSLcvzBow85/SZY1eQZdOEuAXjQpa3kdFljdaFBsbCjev4U2FBlJrE3LRGa7M2yGOicWm0rCMKhaIn8JEQYmj13+8ACCE+u+6YrdXHHFYoFGZABuAKTL/+2OuPq+t6TaJgjYyMsbmyFWlEa8kVdxFtLdpwbStStmjLyMjIXEcjrNHacOM6/vIIWBA3U16jbyHaZh1BCNEoLyRreSLgB1gAZ4CQG455CZhb/fsEYHX17yHVx1tWn58ImNZ3vbCwMCEjc1eRuFeIL/ykn7X9rQcH47NF5xnbxMH47Fr/ro2IyxGi74q+IuJyRK1/y8jIyPwnaYQ1WhtuXLfnH98mQud1F/OPbxNCyGv0rQI4LrTQhxstGFIIoQKmAluBC9VK9DmFQjFDoVCMqj5sHuCiUCjigTe4Zsk+B6wGzgNbgJeEEOrG6quMTJMk7WRN68gVf8C0k3o3eTa1sIYF+4qv39nUukv9RuVG1bCOdGvRjdn9ZxOVG6V3P2RkZGTueBphjdaGG9dxYZnCGx1nUlniD8hrdFNDLlgjIyMjIyMjIyMjowNNomCNjIyMjIyMjIyMzH8VWdGWkZGRkZGRkZGRaQRkRVtGRkZGRkZGRkamEZAVbRkZGRkZGRkZGZlGQFa0ZWRkZGRkZGRkZBoBWdGWkZGRkZGRkZGRaQRkRVtGRkZGRkZGRkamEZAVbRkZGRkZGRkZGZlGQFa0ZWRkZGRkZGRkZBoBWdGWkZGRkZGRkZGRaQRkRVtGRkZGRkZGRkamEZAVbRkZGRkZGRkZGZlGQCGEuN19MAoKhSIbSL7d/ZC5ieZAzu3uhEytyLJpusiyabrIsmm6yLJputyNsvEVQrg2dNBdo2jLNE0UCsVxIUT47e6HzM3Ismm6yLJpusiyabrIsmm6/JdlI7uOyMjIyMjIyMjIyDQCsqItIyMjIyMjIyMj0wjIirZMY/Pb7e6ATJ3Ismm6yLJpusiyabrIsmm6/GdlI/toy8jIyMjIyMjIyDQCskVbRkbm/9u7/1ir6zqO489XkvGjUtP8mY3MSMPczbIoaiaK848GLVrZdKH2Y7PNFmllo1XOrZjUXJvrxx8Cztl1XsVSq8UNXU0TTDDgGhmrGCASqOVWkQt89cf3c+R0OYcW3HO+53Jej+3ufM/35+vcD/fw3uf7+X6/ERER0QEptKMjJC2Q9ISkEUmDkibWnamfSVoiaaekkaZ5r5E0LGlTeT2mzoz9qk3bLJb0e0nrJd0j6eg6M/arVm3TtOxaSZZ0XB3Z+lm7dpF0taQny/89N9aVr5+1+T4bkLRK0m8lPSbpnXVm7LYU2jHmJJ0CfBZ4h+2zgCOAS+pN1feWARePmncdsNL2m4CV5X103zL2b5th4CzbZwN/AL7c7VABtG4bJJ0KzAa2dDtQAC3aRdL5wFzgbNvTgW/VkCta/83cCFxvewD4annfN1JoR6dMACZJmgBMBrbXnKev2f4V8Nyo2XOBW8v0rcAHuxoqgNZtY3uF7T3l7SrgdV0PFu3+bgBuAr4I5CKnGrRpl6uARbZfKOvs7HqwaNc2Bl5dpo+iz+qBFNox5mw/RdWbsAV4Gnje9op6U0ULJ9h+GqC8Hl9znmjtSuBndYeIiqQ5wFO219WdJf7LNOB9klZL+qWkc+sOFC/5HLBY0laq2qCvztCl0I4xV8b6zgXeAJwMTJF0Wb2pIsYfSQuBPcDtdWcJkDQZWEh1+jt6ywTgGGAG8AXgTkmqN1IUVwELbJ8KLABuqTlPV6XQjk64EPiz7V22/w0sB95Tc6bY318knQRQXnOqtYdImg98ALjUuQ9rr3gjVQfCOkmbqYb0rJV0Yq2pAmAbsNyVR4EXgVyo2hvmU9UBAENALoaMOERbgBmSJpcehQuAjTVniv3dS/UFSHn9cY1Zoomki4EvAXNs/7PuPFGxvcH28ban2p5KVdydY3tHzdECfgTMApA0DTgSeKbWRNGwHTivTM8CNtWYpetSaMeYs70auAtYC2yg+nfWt0+F6gWSBoFHgDdL2ibpE8AiYLakTVR3UFhUZ8Z+1aZtbgZeBQyXW2J9v9aQfapN20TN2rTLEuC0clu5O4D5ORPUfW3a5lPAtyWtA74BfLrOjN2WJ0NGRERERHRAerQjIiIiIjoghXZERERERAek0I6IiIiI6IAU2hERERERHZBCOyIiIiKiA1JoR0T0EEl7yy39Gj/X1Z2pQdJdkk47wPKvS/rmqHkDkjaW6V+UJ8dGRPSFFNoREb1lt+2Bpp9Dvr+5pAljsI/pwBG2/3SA1QaBj46adwnwwzJ9G/CZQ80SETFepNCOiBgHJG2WdL2ktZI2SDqjzJ8iaYmk30h6XNLcMv9ySUOS7gNWSHqZpO9KekLS/ZJ+KunDki6QdE/TcWZLWt4iwqU0PT1U0kWSHil5hiS90vaTwN8kvatpu49QPUAEqqeRfmxsfzMREb0rhXZERG+ZNGroSHMP8TO2zwG+B1xb5i0EHrB9LnA+sFjSlLLs3VRPyJsFfAiYCrwV+GRZBvAAcKak15b3VwBLW+SaCawBkHQc8BXgwpLnMeDzZb1Bql5sJM0AnrW9CcD2X4FXSDr2IH4vERHjziGfToyIiDG12/ZAm2WNnuY1VIUzwEXAHEmNwnsi8PoyPWz7uTL9XmDI9ovADkkPAti2pNuAyyQtpSrAP97i2CcBu8r0DOAtwMOSAI6keuwyVL3Xv5Z0DVXBPThqPzuBk4Fn23zGiIjDRgrtiIjx44Xyupd9398C5pVhGy8pwzf+0TzrAPtdCtwH/IuqGN/TYp3dVEV8Y1/DtvcbBmJ7q6TNwHnAPPb1nDdMLPuKiDjsZehIRMT49nPgapWuZUlva7PeQ8C8Mlb7BOD9jQW2twPbqYaDLGuz/Ubg9DK9Cpgp6fRyzMmSpjWtOwjcBPzR9rbGzJLxRGDz//H5IiLGrRTaERG9ZfQY7f9115EbgJcD6yWNlPet3A1sA0aAHwCrgeeblt8ObLX9uzbb/4RSnNveBVwODEpaT1V4n9G07hAwnX0XQTa8HVjVpsc8IuKwI9t1Z4iIiC4odwb5e7kY8VFgpu0dZdnNwOO2b2mz7STgwbLN3oM8/neAe22vPLhPEBExvmSMdkRE/7hf0tFUFy/e0FRkr6Eaz31Nuw1t75b0NeAUYMtBHn8kRXZE9JP0aEdEREREdEDGaEdEREREdEAK7YiIiIiIDkihHRERERHRASm0IyIiIiI6IIV2REREREQHpNCOiIiIiOiA/wBA400LkxSGbQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "plt.figure(figsize=(12, 7))\n", "state_2.plot_spectrum(label=\"2\")\n", "state_2x.plot_spectrum(label=\"2x\")\n", "state_3.plot_spectrum(label=\"3\")\n", "plt.legend()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }