{ "cells": [ { "cell_type": "markdown", "source": [ "# Mass dashpot spring" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Free oscillations" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "using StructuralDynamicsODESolvers, Plots, LinearAlgebra\n", "\n", "k = 2 ; m = .5 ; c = 0 ;\n", "u0 = 1 ; v0 = 0 ;\n", "\n", "M = m * ones(1, 1)\n", "C = c * ones(1, 1)\n", "K = k * ones(1, 1)\n", "R = zeros(1)\n", "\n", "sys = SecondOrderAffineContinuousSystem(M, C, K, R)\n", "\n", "U₀ = u0 * ones(1); V₀ = v0 * ones(1);\n", "\n", "ivp_free = InitialValueProblem(sys, (U₀, V₀))\n", "\n", "NSTEPS = 1000 ;\n", "Δt = 0.005 ;" ], "metadata": {}, "execution_count": 1 }, { "outputs": [], "cell_type": "code", "source": [ "alg = Bathe(Δt = Δt )\n", "sol = solve(ivp_free, alg, NSTEPS=NSTEPS);" ], "metadata": {}, "execution_count": 2 }, { "cell_type": "markdown", "source": [ "The following command is the same as `plot(times(sol), displacements(sol, 1))`." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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lc+Q/r07nbd9i8VsvU5COJfSPv5O9+vPbu4588nra+VPDhg2bMWNGWFiY0Whs06bNjTVSiqrLPcLfu3T6qOT1kJ+GyR9LyK8r/PoG4RcKqtff/TAvL0/pjIJQsdx6V0dZUuMTSHEO9mIAWz56M3oTTuukkc/ExcWVT5LE44ckWwFqLYVZ2Isw+qHWoDfjG4JP8ODRzzscjvJJUrXdfffdUdExqlXP87+zQ3/6SM5L7d+//w03fv/996empk6aNGno0KEVYc3Y6lgILRbLV8s+xuWgOIf08+RcweSHxoBvCDXqoVI3u6OD0hkFoQLZsGHDybMJ6E3oTfiFoVIjSXhc5CZTnBceGjpj+rRyCxMRETHr9ZdwFOG04ReK3gd7EWotLisavVdnvqtzt3ILU4Vptdovln6qObJWPb8PV/6zjWtuirRyomrlxPfnvlerVq0bblytVg8ZMuTcuXO/r6Z9+vSpW7fu5cuXn3766bp16x4/Xn57x1bHQgj07Nnz9pbNKM7FYEFrwBKGy45ahyQRUic5JVXMQBOEa2RZfvDRAWiNBEShM+ETjCQhezEHotZKLuu5o/vLOdK4sWOiw4ORPWRdJD0Bx7W9uD3IXrS6A0dP7Nu3r5wjVUlt2rTZs2tnM3U6r7fSPBesm1iT52MiEr5dtWrlkCFDbrLxa/vXBgYG/vaTxYsXHzx4MD09/dSpUwcPHmzUqNFNHuL6Vbt7hL/Z+dMmfWC4pzADcxBFWdgKCI7B68ZRhH/EI08Nd/bsqVJV0w8KgvCbJ58e4pYljBaKc1BpMAXhcVKUQ2Embufi92eZzebyT3Xq0D5zWG0ZCY0ecxB4UKnQ+iCpMLjufqC3NTO5/FNVPS1btjy8f+/p06ePHDnidrtjY2Pj4+NvcgO7lJSUb7/99sMPP9y+ffvvf67gfmfV941erVb/sGY59iJkLzkp6Iyo1MgyKg0el0drfmLQU0pnFASFZWZmLlu5Bp0RSxjB0ahUyG50ZpzFqDV1oiIGKTQzxWg0Lpr7Nm4neVfBS8ZFfIJQqQmIxGCxeZjyWmk+1F/NNWzYsF+/fv3797/ttttufhvX3Nzc5OTkVatWNW5cUfbSqr6FEOjUqVOrpg0pyMDoQ0Ak2ZfwCQIZvRmNdsXX63NycpTOKAhKatupi6zR4xeG247RD5UGtwuDD0iSvfDInq0KZnty0KCo0EBkDwUZOIsJiMJlQ2fEPxyt4Y33PhKzZiqmJk2aTJ8+vWPHjkoH+X/VuhACu3/erPI4sReTfIzCLPwi8Lgw+aPzkU3+d9x9r9IBBUExe/fuTbiUgtaI7MVpw2X/9d5BXiq2/GmTxys4lnXNkT3bJZcdWz6WGhTn4PX+uiFGSIwsqe7v0VvZeEJlUd0LoU6nmzdjCkVZmPwIicZegN6MSo1/OCp1wuWrhw4dUjqjICjj3h590WgJqk1QDH6hOIoB8tMAi0H74gsvKJwPAgMDxw4ZiMdF1iXSEgiKwl6ARofWSGDtH3ftS04WdwqFf1bdCyEwYvhwPx89tgLSErhynNBYrPkYLQRGodF2eqiv0gEFQQHLli0rtDnRmSnMJC8FczCA14PBh8LsPT9+r3TAX7076x29SsZeREA4Rn/yrqIzoTVg8sfg2/7+nkoHFCoBUQgB9v24keI89D4ERGIw47IjSZj8sYTlW52rVq1SOqAglCtZlp9+7gU0OkLqENEIpw0JNDp8gshPv/PWVuU5tf0ffb/qC9wOMi9y+TAGH9wOdEaAoFoXLyYdOHBA6YBCRVd9H5/4vQYNGtzWvNG+s1dw2shPJySG4mz8I/ENoTCr//Dxffr0UTqjIJSf16e+4UKN0Y+CdPxqoDPgduJxk5cieV1bvlurdMD/0rFjx5jI8ItpmQTVJiSGKyeIboWtAK8b3xr39e2ffbG8N3qtODQazbfffhsfH690kJuVn5/fpEmTMmpcFMJf/bxxvTk8Rg6oiTmIoFqc2YZ/JCY/Ams6Ms7PnTvvuedGK51REMqDx+N5c858NDoCa+FxkHMFnRm3g6JMHLaxTw8wGo1KZ/yjnT9uiIxtSlYShVnoTSBj8MVeiH94zpVjP/zwQ5cuXZTOqIzevXtXqMv3mxEREVFGLUsVamdnt9ttNBpdLtd1vr6oqKgUN7IaNnL0/FXfozWiM+IfiddFQCQFmaSc0LisruwrpXUgBRUWFio+069yqYY9Nuq5MR98vgafIPQ+1Izj/E4sNXBYyUvReGzO7Kt/vzikUj123wMP/bBjPzUbE1KX1FPUaU1mEo4CCjLNnoKilAvlH+l6uN1ut9ttMBiUDlJp2O12jUaj0ZTmVZy4R/j/Pnp/rtplRa3BFECNeuSm4pUxWgis5Ub15rTyW01REJTidrs/WrYSlQa/cDwuXMUg43ZQmIHXs3D2zIqwRPKf+nrVCsnjJCuJC/sB3G58ApE0+IUVFxWvWbNG6YBCxSUK4f+TJGnWlBew5ZOXytmthN9CdhJ6E+YAdMbXZ39Uoa6eBaEsjBz1nFetxycI2UtUM3KuoNZhzUNrMGulQYMGKR3wLxmNxqEDH8NeiCWYyCZcOog5EN9gNDr8I/qPGK90QKHiEoXwv4x57jk9TlRqLDUIiKA4G4cVgw/+Nd0q3dQ3xUWhUJW53e6P/70WlQrfYAoy0Jmw5f+6C09hxtrPFykd8B98MO89lewiM4nE3ejN2AowB6LR4x9ptdpWr16tdEChghKF8I8WzXkLWwFZFzn1I3Vv5+oZ1DpMFjT6N+eIi0KhKhszfrys0eMThEZPrebkpeL1IHuAIH+/zp07Kx3wH6jV6sljR2HPxxJGaH0uHUBnwlIDvRmfoEHPTVI6oFBBiUL4R48//rhJ7UWlJaQOXi9aA3kp6EwYLG6t+d3Zs5UOKAhlwuv1/uvz1UgaLDXITsInmIIMkFBrybu6fsVSpQNel9dfm6KRvWRf4vxOQuuTcR6dGYMPQbWLi63r169XOqBQEYlC+Cc+/9ccHAWknOT8bm65m+zLOK0YLWj1k6fNUjqdIJSJl1951as2YrKg0lC7FQVpOK1IEh5njZCQ22+/XemA10WSpDcnT8Sah18Eeh+yLuJxYvTH5I/R94nh45QOKFREohD+iZ49e5rVoNYS0Yi0M8S0JusSXjeSyqkxLl1aOT4aC0KJvLNg2a8ri2ZfxjeY3BS8btQaclPWr1iidLoSeP75iVpkcpK5eIBGnbmwHwkMvviH5xfbdu7cqXRAocIRhfDPLfvwXRzFJB0m4wKh9bGEYi9ErcW3xogXpiidThBK2Zw5c9xqHRo9DiuxbclNwV6IpMblCAkOad26tdIBS0CSpNcmjaMoB/8I0hLwCSLjHFoDPsHozL0HDVU6oFDhiEL45x5++GGTWkalISyWo9/RoAPmQACNvthu37Rpk9IBBaE0vThzLloD4Y2w5mDwJfMishdJRW7K158tVDpdib046QU1HvLTKMigfltyU8lLQaNDo03PyU9ISFA6oFCxiEL4lxbMegOXleRj+ASRn0qdWwmMwmghIKr/sLFKpxOEUvPVV185ZA2yTG4yjTqTchKXDa8XvP7+ljZt2igdsMQkSZow4hkK0tAZObKOpl1JS6AwC40B3xo9HhukdEChYhGF8C898cQTejy4nag1JOxEZyK8IT5B+IdnZGefOnVK6YCCUDqeGfciOjPRrdD74Cgm59oefjJ5V79cME/hcDdq2htTVR4njkICInEUU+c2irJBRqs/czYhKytL6YBCBSIK4d+ZPuk5PA7y02jajWPfY/DFEoo5EL3vI08OUTqdIJSCI0eO5FqdeBxcOUHsXVzYj0aPSoOkMmlVXbt2VTrgDVKr1YMe7U3uVXIuc+ZnIhsT0QiVBp1ZtoT2f3qY0gGFCkQsuv13ZFnWhtTyaE34BBNUG2cxtVpQmEXSYSk7KfvCiYCAgLI7elmohktI36Qq32Oxca3P5TiJaIjeF2suOcn41SDzIk7bwhkvPf3UUyVtsOL0mMPhMAZHypFNiIoj+SgtHiLzAoWZWPOky0ccWclarVbpjGLR7RITi26XN0mSRg54BLcLn2CCo7Hmc+U4KjUmP9nk//SwkUoHFISbkpmZef5KOsikJWAJJuM8kY2QQZa1ruKnBg9WOuBN0ev193ZoS24KZ37CUoPko/hHEBCJb4is1b80+RWlAwoVhSiE/+DtmdMlj5Orpzm+gfg+5FzhyjEcxWgNazdscrvdSgcUhBs3+NkRstEP/whaPMjJzdRuiUaPy4bHNfbZwRV2o4nr9/mnn0jWPCzhmAJIO0v+VUwBGHwx+s/99Eul0wkVhSiE/0Cn091312143EQ14+g64nvhcuAoRq31GvzfmztX6YCCcIM8Hs/3P+9Go8fr5dIhQurgF4bbSWG2ylE87Y2pSgcsBcHBwQ1j61KQzuVfuLUvCTvJuYxai9HPpdKKZbiFa0Qh/Geff7oQt4OkX9CZKMygRXdC6uAfQWDUq+98oHQ6QbhB06bP9BosSBLRLbHlE9kYpw23HWveA53alu49GAUt//RjCtIxWjj0Na37kLiXtLO4HZiDh018Wel0QoUgCuE/CwwMjK0VgaMY4Mw2vF5i4gmqjSXE5nBu375d6YCCcCNmfrgQo4WoZhzfSNOuuBxYcynOxWVbvOAjpdOVmmbNmgX6+WArJCia/KvE3Y81D9mDwZydnXP+/HmlAwrKE4XwuqxY8jEuO7Z8Wvbk4Fe4nfiFYgrE4Dt4pFjGV6h8tm3bZvOqsReQdZG4btiLSD2JvZC81Fvq1Q0KClI6YGn66J1pFKSRcoLEffgE07QrofXxj5D9Qgc+O0rpdILyRCG8Li1atPA1Gcm+zMHVxPfi8FpyroCM1nAhOTUnJ0fpgIJQMoNHjccnkPptMQWgM3NuJ7kpWPMoSP/848r6EP1feeSRR7SyC6OF+m3Y8wVGP2q3wrcGfuF7Dh11Op1KBxQUJgrh9Xr3tRdwWglvQFoCTe7l3E6unABZ9osYPf55pdMJQglkZWVdTElHlrh4gFvu5sg6PC5kcNp9zaZWrVopHbD0DRvQj4J0Tv9E6z7s+xK3A1MAPsGy3vzq61VhWpBwM8QD9ddLlmVtYKTHFEBgFA07Ys0ncQ+yF4OPOumQKye1Usw1rzgPO1cWVbLHHhvw5PKth/ENpcm9HF6LOQDfEK4cx17wwStjRgy/qVVXKmaP2e12U1i0HNEElYboFhzbQFQzinPJSTbYsmyZV5QKJh6oLynxQL2SJEnq91A3HEUYLexbgX8EzbtTuyWWUI+k+fJL8UySUDnIsrzqu80YLZj8OLsN/3BiWqPV43GqHUXDhz2rdMAyYTAYbo1rgjUPsx+SikadST1F/lX0ZrsHMeWtmhOFsATmzXlHctoozOTWR9ixCK+LoFqYAjD5jX1lmtLpBOG6LF+xwq01UZyHXxiyl3pt8DhxO7EV9ryvY6UY2Lgxn85/n8J00s9xcjMhdWjZkxr1CK2Pf80h415UOp2gJFEISyAgIKBu7Shyktm/gjueYO8KUk9fe7g+K68gNTVV6YCC8M/Gv/ImviE07szFA7R4iKJM8q5SnIvT+tHc2UqnK0MNGzYM8DGiNdHgLrYvxOBLg/YE1MQ/NOHCpcLCQqUDCooRhbBkPvlgNvZCwhtxYR+3PUrSIS7uR1LJgVHDxkxQOp0g/IOUlJT0nHy8Hs5spcMQEvdw6keyLlKYWbtWVEhIiNIBy9bMl5+nKJPTW2n7JDuXkHcVnRGdWTZYXpgsHq6vvsRkmRIzBEc6jEGENSCsAf7hJO7B7cTrVSfuduWkVPCRpYo5kaEiq2I91rNvv7X7zhAQRWxbLv9CWgI6E45iinM2frGgS5cuN3+Iitxjsixrg6M8wXUAWvVmxyf4R2IvQPbqcy/bs1PKP5KYLFNSYrJMhTBu6JPY8nHZObOVwgwadqJWc3yDPSrNF198oXQ6QfhLsiyv27INnyC0OtISyE2lYSdq1MXr1uEqlSpYwUmSdGP12AgAACAASURBVP/dbbEXERZL6kk6DEGS8LixhDpk6aefflI6oKAMUQhL7OXJL0n2IrxumnfnxCYu7EdrQK3FaJk4ZYbS6QThL61atcqjNVKQQUhdMi/QujdGCyoNzuKn+vVWOl05+de82RRlk7iXnGRyU7n1EeLuJ7Q+PiEjXxAbM1VTohCWmMlkatqoARmJ7P83nUeTdoYDq0k+is6UnpWdkZGhdEBB+HPjX3kTv3CadePsNtoMwGGlKBNbnuSwvjX9TaXTlZOIiIjQAF+MFoKjObeTS4cIjMLgi8nvTOIlm82mdEBBAaIQ3ogF82ZjyyeyEVve557niGyMSk1wjBwQPuFFcctdqIiys7NT0jNR6zm+kXue49wufllLWgIFmfXr1qmwd/XKwjuvTaIol6tnaDOQ1FPs+YL0c1jzZEvo1DenK51OUICYLHODjEHhdv/aNL6X87vpMITiPPJSuLBPc/WUK+uyIpGuR0WeyFAxVZkee+bZ4Z+s34GlBrc+wvEN5KagM2EvoCh384qFnTt3Lq0DVfwek2VZW6O2xzcMt5Mer3HwK9LOotbhE2hOO1F09UJ5hhGTZUpKTJapQEY9PZDCTE5sJCaeHz/Eno/BB7XWrdZv3rxZ6XSC8EefrV6LfyThDTm6HqBlD6Ka4XbrcJdiFawUJEm6v/0deFw0uof1M2jZgzaDaNAOS1ix3X706FGlAwrlTRTCG/TKy5Mlay5BtSnOpWFH9nzO8Y3kXiEwavSLU5ROJwj/Zdu2bQ6visJ0irMxBdDiIVRaZHBan3j4AaXTKWDeu29L1jxObaZ1b75/G7wE1cZowWB5bqJYZabaEUOjNy62actzuS7CYoluhSmAs9tw2TH4Sic3WdOTKuZYR8UftqpoqkaPtbrzrsPpTurcTn4aLR4ice+1zWmlUz9mXjhZursPVpYeC4pplKOyoDPSsifbFhIWi72I4mxVzmVnzlW1Wl0+McTQaEmJodGK5d3pr2PNxWnl+A/kpxHfm4Yd8QuTdeaZb7+jdDpB+JXT6Txy4iyWMC4fIe5+fv4Xibu5eorCzMiIsCq2B+/1mzJ2GPYCatQj5QT3jUf2YssnpI7XYPn888+VTieUK1EIb1z37t01HgeSRNP7OLeTw1/jtOGyY/CZs2Cp0ukE4VfzFyzwGnzJTuLOAWyaQ1gsse1Qa8m5MvOV6ruV5vDhw1SOYs7vwprPxYO0fZI7B1CzKT5Bk2fOUTqdUK5EIbwpPbrdS/p5Dq+l00hkLwdWcn435oBCa/GFC+U690wQ/sob775PYBSte/PTh7QZSOxdmAPR6NSOgsf69VM6nWI0Gk3rpregNaIzUZDOziUggwpJnZqRnZeXp3RAofyIQnhTZr89U7LmExzNt1O59VHueII6txHdWraEj39RrFIhKC8tLS07Nx+9mYNf0WUcSCTuozALa36nNrdV8KVxy9oH70zDmo81hwbt8Y9g+ycc/x6XTfaLfO1NsbFaNSImy9yswMiYXJ9aNO/O3i9p9xSWULKTOLxWm5PkrHgPFFaWiQwVR2XvsaeGPLt4/Xb8w7lzAIl7ubgfScLoJ109dWLXj40aNSr1I1auHjOG17OrjRh86PAs9kKSDqPRUpRtSjlcnFoegzpiskxJickyFdFL40aSk8yez+k2kZ2fsvdLLv+CvcCtNW3ZskXpdEJ19+VX31CjDjHxHPuOzAs0vpeIxhRlmw3GsqiClc7Ah7sC1LmVHz/AUUTLHkTFYfSzOtwnT55UOp1QTkQhvFkjhg+XHAWE38JP/6LXdAy+pJ8nOEYOqTP+VbFck6CkAwcO2L0qrPmkJWDyp/3TBEbhG4KjaNjAR5ROVyG88dqrkr2Ay0fpPJrjG9mxmNQzZF7EP2LC5NeUTieUEzE0Wgoat7rtVJ5E066c3cZ9E3DZyEnm4kHVmZ/sGUlarVbpgP+vcg1bVQSVusc63NN129mrRMejN1P3Ds7txFEEknR8Q15ygsViKYuDVroeC2sQl26VkVT0fYdDX5F8FJWGwChNwjZn9pWyvo0qhkZLSgyNVlBvT32VvFR+WUvzB1k7hctHcTux5XnNQR8v/ETpdEI15fF4du47SGgsjkLCYvlhFhcPcOU4+WlRNWuWURWsjKaMHY7LTuNOrHqBxvfQ9XniexEQ6ZbUGzZsUDqdUB5EISwF3bp107jt1KhHwja6jOX0jxxYSd5VatSdNm+B0umEamrt2rUenYnMRKKas2sZLR6idW/8w8lJevPFMUqnq0CGPPO0ym3n7E46j2LdtF93GHXZMfq9OFXsMFotiEJYCiRJurfDXWReIKg2xzfSaxq3PkrcA/hHpqWliweSBEW88uZMLKG0eIiTm+g+mZC6ADqT2pb/+GOPKZ2uAlGr1XEN6+MsZsv79JpO0mG2LeT8bgKjTpw+63Q6lQ4olDlRCEvH29Onkp/G+d34BPPdTCw1CK2PRicbLdNnvq10OqHasdlsZxIvEtaAU1voNonDX/PjByTuoTjntlbNVSrxh/9fZr/xiuQookF71k/jgZdoM5CGHYmK8xp8ly1bpnQ6ocyJv4fS0bhxY5NWwj8cexGN7+GHd9m5hHM7CYpe8MUqpdMJ1c6iRYtkvYUrx+k0kjWTKcomMIr081J20qypYu/oP+rQoYNGkjnzM637snIiGj317sQcgNb4+qz3lU4nlDlRCEvNoEd7kXkR2UNhJg9Po1ZzouIIv6WwqPjSpUtKpxOql+mz3ycwkjYD+W4mbQfT9knq3o7BR+t13HHHHUqnq4i63d0Wt5O9X3DfRHYsYsv7HF2PwZJ6Na2goEDpdELZEoWw1Ex5ebJUmEnqKXKvsH8FjTrSpAuWEFnv88rUN5VOJ1Qjubm5aVk5hNRl92f0mo7bwakt5Kfhcjzc9R6l01VQb78xRbIXEN2aXUt4ZBZ17yCoNnVu8/rWmPe+uCis4krnOUKbzfbRRx8lJCTEx8cPHjz4f7fyWrFiRVJS0rWvAwMDn3nmmT9tp5I+R/ibkOjYLL/6hDVAo+f490Q0piADp9VQkGzLSFY6HVTCZ7wUVxl77NVXp7wx/3OMfvSeztaPyU5CUqH3kTISEg/tjImJKdOjV8Yeu8YcUdeqNnH74xzfyD3PodGTeZFdSwLlwuxLZ8rooOI5wpKquM8R9urVa8uWLXfccccnn3wyevTo/33BwoUL9+7dm5ubm5ubW4XHGSYMe5qsS+RdxRxAt0loDRh8qN3S4eHIkSNKpxOqi/c/WUpIDO2e4utXCapFxxE060pxjlmvL+sqWKkN6vMQbifHvqfNAL55jR2LOL0FjzO3oCgjI0PpdEIZKoUrwqNHj7Zt2zYtLc1sNiclJd1yyy2XL18OCQn5/Ws6deo0bNiw3r17/31Tlf2KsLi42BJZz1ujHj6BBETRug/WXDIS2bbw/jubrf9qpdIBK/GndaVUuh5LS0uLaBAnN+3G5V+4byJGCxnnsRey94sxjz80Z1aZz2GudD32m4yMjLDYOLllDwoz6TiSg6vJTiIggqRfxj7cfvasMtltW1wRllQFvSLctWvX7bffbjabgdq1a0dFRR08ePB/X7Z+/fopU6asWrXK7Xbf/EErJrPZXCsyDL2J8EZIKlZO5PhGzu3C4LNp606l0wnVwvSZM2WjL6kn6T2DpEOsn8a+5aSelGwFr7w0Sel0FVqNGjX8/f1J2EFkE76bQYsHuWc0tePRGBYuX6N0OqEMlUJRTUtLCw4O/u3bkJCQ1NTUP7wmLi7OaDSqVKqpU6e+//77P/3001/Vc6/X26tXr9++veeeewYMGPBXh7ZarRXtiagXRg0dNnUuBl8atCO6Fce+x2mldrzr5MbNmze3adNG2Xg2m+1/7+AKf6PS9djiL1cT2pgWPdg0B6OFJl3IukTKiUB/i8FgsFqtZR2g0vXY740Y+Oib8z/n7DZufZSVE4mKQ/ZiLyh2eBISEmrWrFnqR7x2Rej1eku95aqqpFeEOp3uH19cCoVQp9P9fjDT6XT+72X+7Nmzr30xYcKE2NjYb7/99uGHH/7T1iRJ6tu372/fxsbG6vX6vzq0y+X6m98qYuDAgSNfmurJT+f4D4Q35N4xFGaSfZlzO96cNfenjh2Vjed0Oitaj1VwlavHkpKSrE43fuHsWMwdj1OzGXkpqFSc2zlu3JDyOZHK1WN/MGHcmGnvfSSH1ufsVvq9x77lZF8mupWclvDWu3M+/uiDUj+iWq1Wq9WVt8fKnyzLJSqE13OxVAqFMDIycv369de+lmU5JSUlMjLyr15sNpsbN258+fJf7lgrSdIjj1zvBjHX/h8qUdqyZjQaG9aLOVGsJyoOWz4rxhEdT1EWWv2eA4dUKpWye4JXwB6r4CpXj02dNlM2WMg4zwMvkZbAD+/icREcLTmtY0aPKp8TqVw99gd+fn5hYWFXz+0mvjcb3uG+CcgyOZfJTlr+zcZFC0r/vGRZlmW58vZY+VP/Rym2WQrjit26dTt27Nj58+eBbdu2eTyeO++8Ezh79uyBAwcAl8tlt9uvvTgpKWn//v1xcXE3f9wK67UXxpFzhfQEIhpy93AK0inKJjrepTH98MMPSqcTqrKV335PaH3ueIK9X3J8A8HRSGpSTkaE1TCZTEqnqxxeGj0Ul5WEbbR4iBVj2fMZZ7dRkGmXVYmJiUqnE8pEKRTC0NDQF198sX379v369evbt+/bb7+t0+mAZcuWTZ06FcjIyIiIiOjatWv37t3j4uIGDhx499133/xxK6wePXqoncXkpnJ8I8lHuG8C9zxHrRboTa+9NUfpdEKVdf78ebvLg28Ndi2jZlMefoP6d1GnNflXXx47Qul0lcYzTz+lshdRox5nfubx99EayE8nJl4OrPXqG2Kr7aqp1DbmPX369NmzZ5s3bx4dHX3tJxkZGXa7vVatWkBycvLx48dlWW7SpEnt2rX/qpHK/vjEb25r13l/ppeY1rjsJO4lJp6ibNITNPlXHdkpCk7wqbxT25VSiXqsX/9BKzbvxi+cjiMoziZhB143viGqQ1/ZMi5f+3haDipRj/2VmKbxl3IdtO7LuZ10ewG1huzL7P7MkJVgS7tYuscSj0+UVFk8PiF2qC8TGzdu7PrkGGrFUed2/CM59h1FWYTEcPyHbxa+++CDDyoVrAq8SZWzStRjxpCa9sjmxHXn/G6uniEslswLaPQx2sILxw6UW4xK1GN/ZcnSpU9OeI3AKNoOZvN7RDREpSb5uOQsPrPj+9jY2FI8liiEJVVBnyMU/leXLl20bitZSZzfzZmf6Tice8cS2RSdceo7c5VOJ1RBCQkJDpcHvzD2fE5gFI/MovmD3HI32UmvT/yTxZ6Ev/H4Y4+pnEWEN+TINwxcgF849kJi28pB0S9PFaOjVVBpFlXhN5Ik3dGi6fYrNgIiMfiydChRzbDlo9EfOX7S4/GISWJC6Xpl6jTZaOFqAp1H4yhi1xJkGYOvymXt16+f0ukqGa1WW69u3YQLe7n9CVa9QNfnMfcl4zxXz67btFXpdELpE1eEZeW1FydIualYc1Gp6fMWRj90Jm7p4NH7rlu3Tul0QlXzzQ8/UaMebQdy7Dt++ginjdRTpJ6sFxNTuoNI1cSUCaOxFXB4DZ1GsuZl1r/JwdUUZjokzdmzZ5VOJ5QyUQjLSocOHbQeG8nHyU1h1xLie9N+CDXqodW/Ibb6FErV2bNnnS43gbXYsZigWvR7j1YP06gzmRenvvCc0ukqpb59+6rshUQ1Y9tCnvyEOrdhDqBZVzmw1itvzFQ6nVDKxEfFsiJJ0l2tm/+YmA9Q53a+GEVQLWyFmAOPnhCjo0JpevXNmbLBhyvHuG8CxTnsXIwsY7CoXLZ/XOle+FMajaZBbP3TF/bT7hmWDaPzKBrdQ0YiCTvXbf5Z6XRCKRNXhGVoyqQJUkEaai3p5xi4gDq3UbMpt9zt0Zl/W4tHEG7et5t+IqQOdw/jwCq2f4LbydXTpJ5oUC9GfN66YVOeH4M1jx2LePhNtn/Cv8ez7WO8boesPnOmrLYnFBQhCmEZuuuuu7QeBwk7MPmzdgpht9DqYYwWtPo3Z4vRUaF0JCQkOBwuwm5hy/tENeOxecT3pvG9ZFyYMkHMF71xvXr1UtsLqHsr37xOvzm0GUT9NrTqKftFTJ1ZJlsyCUoRQ6Nl6674uB8v5JF6ivZD+OFdALeTkLq/HDvg9Xor2tYZQmU0deY7ssGH87vpPYOrp9k0GyQsNVRu++83chFKSqPRNGgQe+riIe4ezuKnuP0x6t1JdhKu4q83bFE6nVCaxBtx2Xrl+bFSXhqh9dm3nIHzaT+U1n2p38ajMWzcuFHpdEJVsGbDFgJq0nUim+dy+BtMAeSlkny0Qd06Yr7oTXp5/GiKstj8HgM+4uJ+1k5hx2J8Qhxe6dy5c0qnE0qNKIRlq127dlrZydH1NL6XxU9jzSGwJoVZ6H2nzZqndDqh0ktMTLTbHUS34rsZxD3Ao+/SpAuN7yXr0svjhiudrtLr3bu3yl5AvTtZNpyOI+g9g/bP0LKnbAqc9va7SqcTSo0ohGVLkqS2rZrhE8K+5Tw2l7Pb+GE2Cdup3XL/kWNiN07hJs14Z45ssHByM/3/RUE6q19k+0IK0lUue58+fZROV+lptdrYOjFcOUGXsayexC/fIstkJ+H1rFonRnSqDlEIy9wrE8dIhWnc0oFVL3D/ZPq9R5cJRDZxS5qtW7cqnU6o3Fas24g5kIemsOp5Uk5SuyVqLRf316tTW6vVKp2uKnhx3CjyrvDDHPq9h8GXPV9w5mdqt7C5PBcvlvIC3IJSRCEsc+3bt9d4nBxaQ5dxfDaM/StIP8uFvfiFT3tXrDsq3Ljk5GSrzUaD9nzzOl3Gcf8karegflvy014c/azS6aqIRx55RGUvJCaeZcMIa8DgT+jxOrF3yXqft2aLv98qQuw+UR7adXlwx6U8HMU8tYS9X5B0GL0PQbW1h1c5MpPLc8/6KrAzQDmryD02atyED/79PWodTy5ixyKSDqNSE9FIdWx98dWLSm1oUJF77MbENmlxTg7mjic4ug5bARGNyU0mJ9nXnlmQcuEmGxe7T5SU2H2ispo8boRUmEl8Lz4ZQFRznviADkMxWlyo9+7dq3Q6obJa9tV6tAa6T2bpEHRG7niCWs25eCC6ZoR4Yy1FE58bTuYFdi6m7SDu6I+9ALWWhp2KbM7U1FSl0wmlQBTC8nDPPfeo3XYOr6XP2+xaytKh7PmMX74hrMGMd8XcUeFGZGRkFBYW0aQLP8ym/79o1BmNnrBYHMUTRzyjdLoq5fHHH1c5igioyaa5XDlOh2fpOALfYFlnmj1PrIxRFYih0XJye6eu+y7l4HbS/yMyL5B0GK0Rl01/eLU9I6ncYlS9YauyVmF7bPIrU6YvWYPOzKOz+W46eVeRJIKiVYm7Cq6cN5vNSgWrsD12M2o3aHLZFMMtHbEXcPAr/MIpyiKgZkDu2ZxLN7XcmhgaLSkxNFqJvfTcMMlaQHwvVown5SRN7iOmNXmpTkl78uRJpdMJlc/Hy9fglWn3FF+Opsl99Hid+D6knY0IDVGwClZVY4c9zdUzXDyAWsdTnxJ3P/G9qNM6L78gJydH6XTCzRKFsJx069ZN7bFxZhsPvITsZfUkvp1KRqIc3nDGrPeUTidUMgUFBdm5+TS9j6PrGbwYScX5PQCS9NzTA5ROVwUNHjxYZS/CmkdBOl9NRmciuA5ZSbI56P0P/6V0OuFmiaHR8tOsTafjV3Iw+HL749RvQ/IxkDn1ozlxW1FqYvlkqJLDVmWqYvbY2++8+8K8ZQTWpM0gNryF0R+PC9mrykzMvnjK399fwWwVs8duXnidBmlBcfiF0eReNs/FmotaR0TjsLT9VxOO3nCzYmi0pMTQaOX24sinJZeDundwYS//nkBOMunnSDlp9UhJSeV3m1CoAt5fugKPk1ot2LWE3jPp+xYdnsVlDwrwV7YKVmHDBj1B6gmMvuxayhMf8Pj73D8JS0hGVpbValU6nXBTRCEsP71791a5islOIqo5HZ4l6RAntxDRUA6Kfvc9MXdUuF4OhyM1LYN6d+J2cP9LHF3P+ukkHUStfeYxsd1EWRk+fJhkzePkFlo8xPxH2bmEhB2c+dkbELXo00+VTifcFFEIy49Wq42OqsmV46Sc4Mg3dH+FgfOJ74XX8/kasU+vcL0+//wL2WhBpUZnZPkYvF7MgZz+WcpLGT1qpNLpqqzg4GB/s5GwWHZ/xpAv8A0h6xK1W1Kz8XsLP1M6nXBTRCEsV+OHDJAkFY4i6t7Jx4/z9av8PB9HYV6RNTMzU+l0QuXwzoKlMhIFGbgcPPsl8b1o2o2ASIvREBoaqnS6qqx/n4dIPUWLHnwykKhm9JhKiwcpzku6kup0OpVOJ9w4UQjL1aCBAyR7Hr4hJGzn2X9zSwcim3DrI7JvyIKPP1Y6nVAJuN3u8xeTCI4hvjchdVgylBXj2LEIj6vfQ/cpna6KmzBurFSQzrb5PDaX3ctYNJBv3iAn2WsJW7VqldLphBsnCmG5MhqNoSE1OLmZ2LYsGoTWQMO7kVS4Xf9aulzpdEIlsG7dOq/WSFQz9q8gYTt3PM5dg3EWS5mJE8c9p3S6Ki4qKsqkVRHVnC9G0f0Vek6ldW/aD5Etoe/OF7cJKzFRCMvbiIF9UWvZtYwB/+LkJr6azN4vqdU8LTOnuLhY6XRCRff2B5/IejMnfqDtYDo8i70IIKKRQXLXqVNH6XRVX89u95Bxns6jWDGOI+sw+lGQTm7K8VNnPB6P0umEGyQKYXkbPnSIqjiHhp1Y9iz3jmPwp/Scyi3tvVrj8uXiolD4O16v99CJU2iN9JrOse/5cjSHv2b7J+Qk39+pndLpqoUXxo+Vcq/w83wemUVQbfZ+ydHvqN3Co7ds2bJF6XTCDRKFsLwFBAT4+flx/Ht6TGXl83w3nXO7+OVb/MLfnb9Y6XRChbZjxw63Wk/cA6ycSFQznvmMh6ZQ/y4p5cSksaOVTlctNGnSRIeboFr8ewKSiqc+5fF5NO0qqzXvvD9f6XTCDRKFUAEDez+A08bqSTzxIQ3ak5+GXxiNOp1LvOR2u5VOJ1Rc73wwX/YJYf8KhnyBx8V3M9i3HL1J63W1atVK6XTVRcc2t1OcS3xvCtJ57342z2XrAkz+O/fsVzqacINEIVTA2FEjJFs+LbqzdAjFOXQczp0Dcdk9OtOGDRuUTidUXD/uOogtn4ffZNGTJB8lsBbZlzm/u82tLZWOVo08P3aUlHWRC/vwj+DJRUQ0IjqeuO5OSXP48GGl0wk3QhRCBdSqVctkNJC4j+6TcVhZMoQV4zi5mej4t+aKBXyFP3fy5EmHVyK+D+un0/8j7hlD/TbE3U9W0gvPDVc6XTXSrl07tctGQTo5yax5heBoYttizZX15rfnfqh0OuFGlOa6pcL1e/Deu5dv3MGW92nZg2eXk/QLyCQd3n9ghdLRhApqzgcfyZZQzu3g0Tmsm0rOFVRqajbVyM7OnTsrna4aUalULZrccqDQB3sh941nwzsUZyOpiW333ebNSqcTboS4IlTGC2NGSk4rofW5epZlz5J1gYxEzu92G/wOHTqkdDqhIlr9/c9Yc2naleVjaP4gPafS/EEu7GvcIFatViudrnqZMHIoGecJjGLTezw2j0Gf0GsaIXWK7Y7Lly8rnU4oMVEIlREXF6dVgb0Qsz89ppJ5kXM7iWwqhzWYLrYnFP5HWlpagd1JbDsyLzBoIfZCzu1CZ8LjGTfsKaXTVTsPPfSQ2pbPwdV0GMLHj7FpNkfWcfhruUa9uWJ7wkpIFELF3BHfkov7ATa8RdtBPPEh8Q9jzd+4dZfS0YQK518fL5R9gtHoCY5m/qOc303SYQ6uUtlz+/Tpo3S6akev18fUiiCsAd/NZNi/iY7H7eCWu6kVt+wrsYB+5SMKoWJenTha8rg4v4dOI1n5PIsG8c1U3Ha72J5Q+B8Ll3+NJJGZSN5VRq3lwVfoNBKkqMhIo9GodLrqaOTgJ8i8QNuBfNQX2cudA6h3BxkXcvIL8/PzlU4nlIwohIrp2LGjymmlZhwbZvHUErpO5Na+3PWU1ydo3vti7pnw/4qKitKzczEFcNeTRDZmxViWDOHgalTqIU/0VTpdNTVo4EBVUSZbP2bgx2Qk8sUovnkde6EcVHvxkiVKpxNKRhRCJcU2iOX0FjqNYP6jv97yST2F27l01VqlowkVyJdfLpdNATTqzM8fc/on4rrT6mGunlHlpgx95mml01VTfn5+wX4WAqNYNpT6bRm+mode474Jss744VIx97uSEYVQSZNGPoOjmG9eZ8gX6IwcWEXyMRrfm1tYXFBQoHQ6oaKYt/hz2SeYPZ/RdQLth+C24xNMVDM/H0NQUJDS6aqvAX26U5RF20Ec+54lT3N+N0e+JS/t0qUksT1h5SIKoZIefeQRlT2fpvex4DH8I3hqMX3fIiTGqzEsXbpM6XRCheB2u89euExRNo9/yNYFrBjH4W/YMk/KvdLvQbEBoZJGDR8m5aVy6kcaduSBl3A7cTlo9bDXGPDNN98onU4oAVEIlaTT6ULDwrh4gB6vkXyMOfez5mW2LiAq7r2FS5VOJ1QImzZt8uh8uHMAX4ygZU+Gr6TH6zToQMqpMSOHKZ2uWqtVq5ZZq6I4h/O72LqAJvdy71h8Q2SYs2CR0umEEhAryyjs2f6PTPlgKZvn0mYgHYaSuAdZxpqb9OM+r9erUolPKtXd7I8+lgOjOLiaYSvZ+Sn/x95dhkd17Q0bv2cmmWTiCUQgQhICBAghOAR3d3d3l1KqB05paYsWDe4Ud5fiDsETIMSduNvI+4G+fc7paSm0gT1J1u8TpMPMfU0D/+w1e699cycmlti4GBvIKlSoIHVdSdepRePd/tEgo8Egjn5DfjZAuRr3H1zS6XQymUzqMuYYfwAAIABJREFUQOGdiH9nJTZ+7BhZbjq25Xl1g72foM5Hq+HlVY2Z7cmTJ6WuE6R37d5jkiNpPo41fdBpqdISjZrAC62b+EqdJjBjygRZcgQWdlzbzMjNDFxBl6/waFSA/M4dcTOKIkMMQonZ2tqam6jIz8bCjo6fEXKLW7tQWVKu5rdLV0tdJ0js8ePH+TJDqnXgySkm7KdiY0ys8WwuS4+fNXmc1HUCderUMdTm4n+IhsNY3Ycb2wjz58FhXalyi1aILWaKDLE0Kr2endpuPnYJew9OL6LL11g78jqYcz/5v3gqdZogsaUr1+hsnFDnUq09a/ujMKQgl1LlFDp1o0aNpK4TAOr7eF2J03FiARP38+AwkY8pWwWlyalffpY6TXhX4ohQep9MnyoryCbwIq2msGsqawdwZC7JEQUGZo8ePZK6TpDSwdO/oNWSkUDABQb8xLANtJlO/EufqpXF5096Yvr4USRH4juYVb1QGNJqCt4dSArLVuvEFlFFhRiE0qtcubJSm49LDY5/y+httJuJTxdaTNBZ2H2/dLnUdYJk4uLiMnLzUZpQqwc1u3FtMwe/ICYAmWLa2OFS1wm/6tixoyI3nRvbGLKG1yFsGc3+OSSE6spUWbHaT+o64Z2IQagX6tetQ9BV2kzDrz/PL2NsRlwQ2SnHz1yQOk2QzNr1G3QWDnh35NYurmygtBt25XlyUpGd1KNHD6nrhF8ZGhqWL+eIsTk7J1OuJpMP02M+nb9Eabzj0Amp64R3IgahXvhs+iSyUzk8l9HbsLDjwRHC/anaNqtAGxcXJ3WdII2NPx/A0oEr62k6mh7fUtqV8vWx9XByLCs22tYrE4f2l2WnUasnr26wbiCBF/E/zOvghKQUsUVUkSAGoV5o3bq1Ii+dyi3YMBQDJQNX0H8JZSrpFEZ+69ZLXSdIICcnJ+Z1EolhDFvHrV1sGMr55ZxaKMtNGz2gp9R1wn8ZOmSwLCuJyIeU8aTvIhSGoKNOb62Z7a5du6SuE/6aGIR6QS6XV3B3JyaA1tPJTGJ5F3ZM5vwKXGv6bd8ndZ0ggQMHDmhMbGg2li1j8WrLhL30+ZEynrL4oDEjR0hdJ/wXS0vLUpbmxL0kLY7Dc3GrQ6MRqKzQ5K/YtEPqOuGviUGoL6aNG0F8EPf2YmrNpEM0HU27WbjVTUhMFBv4lkDL1m7CzoO7+5m0n/iX7J3Nje1YOliYGNva2kpdJ/zewK7tMDbj9Ss6fc5FP3ZM5OpG3Oq+fBWi0WikrhP+ghiE+qJ///7ygmzkBmSnsn4wr1+RGsPTM1prxz1790pdJ3xUWq32ceBLEkPxHcTKXhTk4V6P1FheXO7ZoZXUdcIfmDJxnCw1FmdvDn1Nv8WM2UnfRXg0VMsNz58/L3Wd8BfEINQXFhYWpcxNUKpIi2eIHxkJvLyCrTvlav24SmzgW7LcvHlTbWhCxSa8usnkQ3g2w8aJ6h1lyVHTJooNZfSRm5ubygDu7KHTF2wexaGv8D/Mja3YV1iyep3UdcJfEINQjwzp25Ow+zhXY/sEqrZh4Crq9iU15nnQK6nThI9qyYrVutLuqCxwq8Oqnhybz5klBP6iNJB5eXlJXSf8sbaN62Fux95ZjNxMzW4YKKnSkopNLt+8J3Wa8BfEINQjkyZOkOVmcG0L/ZdycTWre7JvDtlpGhObK1euSF0nfDynL13H0Jiw+0Q/ZdgGRm6mzXSinzVpUEfqNOFPTR03SpYeR8OhbBxGdABVW1PWi4iH+XLl8+fPpa4T3kbsNapHXF1dVTJ1dvn6bBvHED9kcl4HIzfQnV2yeNW6Jk2aSB0ofAwRERE5ai1ZyXSbS2ocZ5eQnUrZqjKYOkacL6q/GjdubKDOKXh4jB7fEvmIo99QkIO5na6s17KVq/1Wil2i9JcYhPqlVdOGR588oOPn7P8Ms1I4ViU5ivzscxfFEWFJsWLVGp2VE41Hcuw7rMrgWpuMBB4dV+Smt2nTRuo64U/J5fJqlSv6R6Rw8nsqNmbyIdLiyU7m1MJ9J875rZS6T/hzYmlUv8ycOlmWEsOpH+k2j9q9SItDq6Z2z1wNoaGhUtcJH8P2A0ex9+DcT/RaQPPxGJvh5IW9R4XyboaGhlLXCW8zdeQgWUE+ztUxVPFjC47P5/QiUmJS0jOTk5OlrhP+lBiE+qVx48aKgmwcq3L8W55fom4/mo1DJtcpVavXbpC6TvjgMjIyEpJSiHzEUD+OzGP3DG7u4PQiWWbShKH9pK4T/kLvXr3keWnkZ5MUzuTDeDbHpQZNRurMbLdt2yZ1nfCnxCDULzKZzMuzAplJVG6Oez32fcr28dzbT8Wmm/cdlrpO+OD27t2rNS1Fk9HsmkbrqUw9Su8fcK0jSwgeMniQ1HXCX1CpVA62pQm8iEt11vSlIBcnb1Jj0apXbxW3J9RfYhDqnanjRhHzjORogq4ycT+D19B3EXbuKSmpWVlZUtcJH9aKdZspW5ngmwxbx/2DrO7D6cWozG2sLCwsLKSuE/7ayD5dMbHk2lbG7SI+iLNLeXUDr3YhYZEFBQVS1wl/TAxCvdO7d295Xhbh9/FswbKOXPLj7j7uHdCWdt+2Q+xbWJxptdqnQcFkJVPGk63jcKiI72AMlDw7P6h7J6nrhHcyfuwoWXo8Pp1Y3YeqrZlymP5LKOWkMTA6e/as1HXCHxODUO+Ympra21hiW57rW5h0iHK1kBtQqwdlPFds3Cl1nfABXb58WaNQYWGPgREjN2NiRV4WHr6yjNcTx46Suk54Jw4ODqbGSu4dYNAqbu1iSXsOfM6l9ZSruWS1uJOMnhKDUB8N79+TqEc0GMzKHqhzqdkNG2dinweFhokNfIuxpavWYO9BxSbkpLOqJw+PcWcvD4+qDBUeHh5S1wnvqlvrZui07JpCo2EMXYtPVzrMxrHK9bsPpE4T/pgYhPpo7JgxsozXnF7ImB2kxbP/M84tw8ZJY2J94YK4Z32xdf7KDayduLoRS3tmnafXd3SYTXJUq6aNpE4T3sPksSNk2Wn4dOb6Vo7MRZ1HSgwBF/MNTQICAqSuE/6AGIT6yMXFRWUgw7U26wfjWJUZpxi+Ed8hOuRL14gNuIun0NDQXA1EPGTEJrLT8OvLxuE8PCbTaaeOGyl1nfAe6tSpY4ia6AAqNaXlZCIe8uIyLj46u4pLV6ySuk74A2JnGT3Vrnnjg49DaTWZcH/OLsXRi9QYTKwuXb8pdZrwQaxavUZn4UDbmWwYik9nWk8jJZrrWxT5GU2bNpW6TngPMpmsRrWqtwOfYONEwHnazsSqDLHPOfrNwZPPxeeEekgcEeqpmVMmkRDMw6M4VGL0Dso3oGob6vTJ0+hevnwpdZ1Q+HYcOIJLdS6tZeJ+7DwIu4dOS5nKnh7lFQqF1HXC+5kxdqjszV7Bzcaxbw6r+3LwS1SWqRlZSUlJUtcJvycGoZ5q0KCBgSaPglySI9k5GbkcG2ciHuhMS630Ez9TFjcZGRkJKRlEB9B2Bqt68eAIKVFcWS9LDJ0+eojUdcJ769G9uywnDUcvTv7A8I0MWEaHOfgO0Rqbb9++Xeo64ffEINRTMpnMu3JFlKakx9N/KSF3uLCSjES8Wu86ckrqOqGQ7d27V2tkhmcLbu1i0gF6zKfpGGp2lyUE9+8vdlYregwMDBzLluHhUdrOZN1ArmwkJoCHR1BZrtq8S+o64ffEINRfU8eOJCYQJ292TqbhUKYdp/MXqAtS0tLT09OlrhMK0/K1G3HyQmlMvX5sGsnaAeyeSUaibalSKpVK6jrh7xg/qBfA/jmM2YFHA1KiMStNze6hkVFqtVrqOuG/iEGov3r27CnPTubqJvos5MQClnVk76e8uKKz89iyVWzgW3xotdqAoBCMzYl8xP1DtJtF30VUaUnghWF9u0ldJ/xNo0YMl2UlU6cXG4aQHEmj4dTuRWqMRmkutpjRNzKdTvfPn+Xu3bsLFy5MT0/v3LnzhAkTZDLZ7x6QlJQ0b968wMDAKlWqzJ0719ra+g+fR61Wq1Sqd9+RLzMz08zM7B+l6zfHil4xtjWJfsbwDeRnE/scIzPuH/QkLvDO5b/xhBkZGebm5oXeWYx9hHfs8uXLzXsN1Vk70+VrdBoCL6LOw8ZFdm5ZqP/VcuXKfdBXL3Tie+w3Fi6VMixcaTWJuJfc2YtOg0KJvUcLq/QLJ37dQ1+tVqvVamNjY2lTi5Dc3FwDAwMDg8K85KEQjghjY2Nbt27duHHj2bNnr1ixYvXq1f/7mL59+yYnJ8+bNy8xMbFv377//EVLiKG9uxEfRJvp7PmES2vJzSTyMXEvXgUHiw18i40ly1fqbFxoM53zyzm/ErkBmYnc3aMyoMhNQeE/9WjXkuQILq0jL4tpxxi0it7fozQTW8zom0I4Ivz222/v3Llz5MgR4PDhw7Nnz/7d+f1Pnz6tV69eQkKCiYlJdna2ra3t3bt3q1Sp8r9PJY4IfycyMrKcT0NdaTe6/5v0eJ6eITuVspVl9w8dX7+wQ4cO7/uE4qf19/UR3jFTW8fs6j0Ius7A5ZjbEf8CZBz/rnsdj4M/F701cPE99ptHjx7VaNVVV7kVjlW4sR3X2mjVhD+QqfOfXThQuXJlxBHh+9PTI0J/f39fX983v/b19Q0KCsrIyPjdA6pXr25iYgKYmJhUr17d39//n79uSeDs7GxiKMfUmjOLeXmVZuPo/QO25XU67fJ1m6WuEwpBeHh4jlbBqxuM3MS5Zaztz+G5nFsmy8+aMXGM1HXCP1K9enVDNBgoiQ5g4gGcq2NmS6NhOmvHZWKLGX1SCEM1Pj7+t8/8bGxsgLi4uP/8kfA/H/DmMXFxcX/2bBqNpmbNmr/9tnv37tOnT/+zB5eE+/O1alz/yPNU3OviUImdk9EUAJSrdenG1czMzPd9tqysrP/9BFd4iw/9ji1fvlxnbE6T0WybQIfZOHmTGMrpRQbZydWrV/8b/4slJ77H/pO3V5V7zy/S4VPW9KXRcKq0IPY5Ga/3HQtd/GMm//+IUJxH+u7e94jQ2Nj4Lx9cCIPQzMwsJyfnza+zs7OB3y2MmJmZ5ebm/vbb7Ozst6ycyOXy9ev/74LxsmXLvn3xs3gvjQKfTJt8tNdwnZM3z84xYR8pUWQlkxyV//JyVFSUp6fnez2bTqcr9u9Y4frQ79iOA0dx9SXsLiM2cXUT17di40Jp14qmOUV0gVF8j/2nL6dN6D72E90vqxm7k7PLuLENmQwP37RHx9VqtZWVlVgafV8G/18hPmchLI26uLiEhIS8+XVISIhKpbK1tf2zB7x5zFtOAZDJZLX+Q5kyZf55YZHm6+trUJBN4Hl8OrO8K9e2EHSd2z/rSruLLWaKuqysrMTUTPKzKVWOTcNRmeNen5gAwu7PniA22i4OunTpIstNx7s9a/ri1ZYZpxi6joqNtQojscWM/iiEQdivX78DBw682UBv3bp1vXv3frM14t69e998FtiqVavMzMw3l86cOXMmJyenRYsW//x1SwiZTFbNswJ2Hpz7icmHcPIiO5UKjfBosPvYaanrhH9k7969WqUJWg3GZoz9GQdPbJyp3lGeEtVPnFxdLMhkMkdHRwIu0HcR9/azqA3H5nN6Mc7Vlov7bOuNQji6bN68eZcuXapUqWJvb19QUHDmzJk3X//pp5+6d+9es2ZNIyOjtWvXDhgwwM3NLSwsbP369Uql8p+/bskxZfSwYV8vo+VEVnSn4RAaDCQzicvrUjKyU1NTrayspA4U/qZlazdi70HdvkQ9YUVXLBzISMDeo3TpUuLvSLExcVj/OUvWcfArOnyKtRMht/FsRl5W6LmlWq1W6joBCuuCeiAuLi4lJaVSpUpy+a9Hmfn5+QqF4reN8zMzM8PCwtzc3ExNTf/sScTlE38oKyvLslxljZktIzZx+2cCf0GrwdxOps5bPK7b9KlT3v2pxKnt7+uDvmOGlnbq+oN4eYWGw6jVg9xMQm5y7NvPRvf/7pt5H+hFPzTxPfY7SUlJth5eujp9yUohOwXvDuh0PDouS4k6tf7Hli1bis8I38uHuHyi0AZhoRCD8M84efpEm7iRGk2zsdToRkIIeZkc/cbTrCDw7tV3fx7xj9T7+nDv2LVr15p0H6xTWTJ+D/f28/IqGjUuPrL7+8P9rzo7O3+IF/0IxPfY/7JwLJ/hXBdnH8rX59pmEkKxdUMmb2aWfO7YfjEI34ueXkcofASDe3WWZSZSfyCxz1nchktrOb+cvKxXr4LEFjNF1I9LV+hMrOjyNX79Uef/em59wHmVQld0p6Dwh7q1b0W4P/lZnFlM8/FM3EuTUWQk3PR/KHWaAGIQFhXjx4wmNYawe1jYMWobTl44euE7RGNk8duHskLR8suV61RoxKW1TDpI2Sq8foW5HVZlWjdpJHWaUMhmT5ssK8gl6Dqtp7F3Nsu7s3c2OakFcqOgoCCp6wQxCIsIFxcXE0MZ8UHk57BjIsYWuNYmJUpnoPxp7Sap64T3FhkZmaOFuJc0H8fK7tz+mXB/LqyQpcV9NvM9PvQVigQvLy9DbR4uNTgyj2Hr6fUdzcbSYpLWxPqnVWukrhPEICw62jX1xdSaqMcMWM7zixz/jtA7eLW/dvu+1GnCe1u9Zq3W0ISynjw4wpQj9FtC+0+o0EiRlVivXj2p64TCV8PHh8Bf6DCbDUO4vZusJF5cRlOw98hJqdMEMQiLjmkTxsiSwinfgO3jaTaW6SfotxhzmzyNLiAgQOo64f1s2nMAp2rYVaB6JzaPYk0fDnyJRlO5oofUacIH8dnU8eSmc+ALRmyiXE0iH5ObQc3uaVk54j7bkhODsMj4dYuZa1vou4hj81nZg8NzubkLJ++fVq+Vuk54Dzk5OYmJydi48PQMT07RchJd52LvQdDVWeNGSF0nfBCdOnVS5KZTtTVbRpMWS+uptJuFXK5Vmu7c9bPUdSWduHyiKKnTtNW9NBUpUQzbQE4qUU8wtiDyofWr88mh73RQKE5tf18f4h3bsmXr8NnfYGZD30XkZRF0HZ0Wc1v56YVZsSFF/Ux68T32Z8pV8YkwdKL+AFJjuLObN//2Onm7ZwQEP7otdV2RIS6fKOkmjxxCSgxNx7DvU27twtiC7BRC7qRl5b7Z4k4oEhb7bcTClh7zOfE9F1aRl0XUE/wP25ayLupTUHiLcUP7E/eCh0fJy2TKUfospMd8bF3DI6P06oCkBBKDsCjp2bOnIjuZ+wdpPwvP5jw5xaPjlKuhtXbcvGWr1HXCu3r+/AWVmrH/Mzp/ycDl+HSi8QgyE0b06yF1mvABjRoxQp6fhVaNypKfOvPwKAEXeHhca1n23LlzUteVaGJptIhxqlorWmOGiTWlXWk2DqUJ0U84PLeClcHLBzf/8o+LZav3Vejv2I0bNxp1HaSztGfIWo59Q0IIMhmlXOXh98MfXHVycirE15KE+B57C8sy5dIrtqEgl67/4s4eEkKwduJ1cBPL9Munj0pdVzSIpVGB4b27oNVgVx5nH9YNZMMQjvwb89IhYWH5+flS1wl/7bvFy3WGRtQfxPYJ1OvPyC10+IzUGJUBxWAKCm/XrUMbgm9SuQVrB2DjTPPxOFYlMfS2/yOp00o0MQiLmHGjR8nS4kHO84tMPEC7WTQbQ50+GkPVqVOnpK4T/tov127i4Uv8S4atI9yfUz8Q4Y+1Y6smvlKnCR/czKmTZbmZnF/BiE0EXGDrWE7+gIVdvtwoMDBQ6rqSSwzCIsbR0dFMKefJSaq1Y2UPXt0gN5PAXzArvdRvo9R1wl8IDw/PLVAjV6CyZPNIdFqsnXl2XvY66LMZYkOZ4s/b29tQk4NnM9YPpsEgJh2i7yIaDtUZqpauFFvMSEYMwqKnY4tGWJXh/AomHUBhyPOLyORUa3/zntjAV9+tWO2nU5qSFIFZKcbvxcMXD1+qthYbypQcdWr6EHaPrnO5uIbNI/E/zLXNGJvvEVvMSEcMwqJn2oQxspRo6vVlZQ9Ku9FvCS0nkZdZgOLRI/FJg17bsu8IpcrRchKZiSzvwrH5HP4XSWFelSpKnSZ8JLMmjyclilMLaTaWDp+issTBk9o9MrJzUlJSpK4rocQgLHrq1q1rqM3j5k6G+BF8k1U92TWF55d0LjWWrvSTuk74U9nZ2SnJKVRoyJG5mFozbg/DNlC7J8G3Zo4XG8qUFB07dpTnZVHWkysbuL4V15p4NiMpUqeyXL9xs9R1JZS4fKJIati6442ITPKz6fApTt5EPkRhyOOTFqFX0iJevOUPilPb31chvmPr1m8Y+6/FGBgxYR8PjxJ8E5mCslXkV9ZmRgerVKpCeRXJie+xv+ReuXqoWUXK1cShEr+sIicNQxVOXs7xdyOe3ZO6Tt+JyyeEX00ZNUSWk0at7jw6zs7JxL0k+Bbh/pk5BfHx8VLXCX9skd8WFIZ0/wa/fiRHUakp5rY8PGpf2qbYTEHhXUwYOZiox2Sn4H+I4RsZvZ2e36GyiomN1Wg0UteVRGIQFkldu3aV56YR8Qj3enT6jPTXJIbi1UZrXXb9BnHuqD7S6XQhoSF4t+fCSsbvoVpbDFWUr49OM2pAL6nrhI9q2LBh8rxMgm9Ro9uvu+df28STk1obl8OHD0tdVxKJpdGiys27flhqLp7NSQqn1WQsyxD5iJPfu5jJwp/5/9mfEstW76uw3rGzZ8+2GzJJ51CJ5uM49i0KA7QaFIbypPDIR9fLli37z19CT4jvsXdhXdY1tUJbkkIZ6sezC7x+hYU9YffrmCTf+UVcEPw2YmlU+D9jB/fCQElqDM3GcHgu6wdz6kdKu0bHxObk5EhdJ/ze98v9dDI59hW4vpVBKxm3m57fojA0UcqL0xQU3lGvzu0Jv0fDYazsRU4qns0wNud10MPHz/Tq4KSEEIOwqBo9YrgsMxGHipxbzohN9F9Kx8/w6aoxNDl06JDUdcLv3bjrj0t1SrvSeCRnl+DXjxvbMbHq2KKx1GmCBKZPnSzLSOTUj4zeRlocR+ZxeS12Hmqlye3b4pZMH5sYhEVVqVKlLExNuH+IFhPw68vNncQG8vgEFvZL126Suk74L0+fPs3Xgm15gm9xcTUeDanVk4RQWUzA7OliQ5mSqEqVKoa6fNzrs34w5Wox5QiDVlO3r06hXLZ6ndR1JY4YhEVY7w4tMLHg0NeM/RmHCsS9wMQKrzYPnwaK1RW9smzVWp2ROQEXqNuXzl8DGJlSqbFBXnrNmjWlrhOk0bh+bV4H0W4Wgb+wvCuX13LRDxPrY2cvSJ1W4ohBWIRNmzBWlvGaev1Y0xeZgvaf0ngEOekahfGNGzekrhP+z76T51FZ0PsH7h9g6xgen+TCCqKe1qnuJXWaIJlZUyaSEMKNHVRuTv+l2JXHtRY1u+YUaCIiIqSuK1nEICzCqlataiSHR8fpt5ikcDYMZddUXl7Rlau5cLnYwFdfvH79OjMzC+8O/DwN747MOEX3b2g8gnD/GRNGSV0nSKZVq1YKdQ5GJjy/xKkfKe1O+XokReqMLVesEaujH5UYhEVb03o1yc3i4Jc4VWPCPtp9QqcvsLQ7d0UcEeoLv/UbtOa2+B9mwj5C77K6D/tmkxytUOd17txZ6jpBMgYGBhVdyyGTY2JNs7Fc38KReYTepVKzrfuOSF1XsohBWLTNGD9Klp9FxSaE3GHLKOKeE3KH4Ds5GISGhkpdJwCs3XWQ/BzazmBNH0ysaDwSlxo8O+PiWEapVEpdJ0hpytjhRD9BqeLSOgauYPR2eszHzCYpOTkzM1PquhJEDMKirWXLlgpNLskRlHal2zxSYoh5RsVGOptyP61YJXWdQG5ubtzrBKq1x/8wEw9gV570OOw80DFx+ACp6wSJDRgwQJ6TzuOTNByKXz8Oz+XWTh4d15V237Jtm9R1JYgYhEWbQqGo6O5K+AOyUzizmHr96LeESk3Jzdhx6ITUdQJ79uzRGVuSmUD1jqzqyfVtPD7Fja3y7KRhw4ZJXSdIzMLCorSVOY5enF3K+D1UaoKhMbV66uwrLN+4U+q6EkQMwiJv1rhhMoUB0c9oOo4Dn7N+MMe/w9giJS1d3N5MckvWbfv1Qpaga4zbzVA/On2OQmllZlaqVClp2wR9MLh3V6Kf0Ggoq/ugzqN2L+zKkxAcEhH57ptNCv+QGIRFXv9+/WQ5KTh5cf4nRmym81c0GU29flqV5datW6WuK9E0Gk1AUAi27lRtQ5XWHPgcv35c34aRad8u7aSuE/TChHHjZOlxnFvOyE28DmH3DE4vQmmiNS11/PhxqetKCjEIizxjY2M7W1seHqfZWPz68fwS6lzC7mFgvGLjdqnrSrQLFy5oFEa41uLuXvwPUq099QeQFC6LfzFj6iSp6wS94OLiYmIgx9GLjSPwbMaE/fT8lqZjdIaqJWvFfXo/EjEIi4OxA3oil3P034z7GUNjHh4nOZKqrcOiYvPz86WuK7kWrVqvM7HC/zAtJtJiIvnZGBjhXtdIl+/h4SF1naAv2rdsSnIkLSZybz/bxhJ4Ef/DFOTdvntfbBH1cYhBWBxMGDtalpVMzW749cPWjREb6PwlFnZaA+MjR8QFSZK5cscfnY5+S7m6id0zeHaWCyuJD2rdpIHUaYIemTZxnCwpjHv7qN2bVlMoyEUmo0ZXtcLo1q1bUteVCIV5SydBKnZ2dmamJhkBF+j9PTd3cWElVmVJjsDFe9Gq9b1795Y6sCR6+PBhvk5OnV7smkKHOVRqQlIEAee5umHWMnFmvPB/atWqZaAtKFAYcncvRqb4DsbYgqBrOoVy8Qq//Q3Ej00fnBiExUTvjm02HbnAoX/RcQ5NRhFyG4UhGQn+N7dInVZCLV25RmdZhrv7mbCXKxu5sgFjM8p4GmjzGzVqJHWdoF/q1/C+mgh25XGoxL456LRoNZSreeriFanTSgSxNFpMzJoyQZaXScXGXN/GxdVY2GG3ba7NAAAgAElEQVRsRuQjjdJCbMAtiUPnrpCZSNtprOmLgZLaPbGw4+lZH68qcrn4eyf8l1lTxhMfREEuL68yZgddvqLNNFxr5+QVBAcHS11X/Im/kMVE5cqVlQZyEkLwaoN3R25s55fVaNQ6J68FS5ZLXVfiREVFZeYWUL0z9w4wYR+utZDJcK1NbvrM8WKjbeH32rdvr8hL5+VV3Ovh14+QO6S/5uUVnVXZpStXS11X/Iml0eKjaYM6Z28/xtgCI1OGriUrmYwkbmw9f00cEX5sy1et0ZnbkRZLnT6sHYBCiaYAs1KK/Kzu3btLXSfoHUNDwwquLs8Vztw/yKhtXPIj+BZmNnj47jp8auXSxVIHFnPiiLD4+HLmFJm6gPwsyniysju/rOb2LmIC8mTKoKAgqetKli37j6PORWnC/YP0X8bwDbSbSVpsOWdnIyMjqesEfTR1zDBev6JaWzaNoFp7hm+g+Xi02rT0zKSkJKnrijkxCIuPxo0bKzR5mJYi9C5jdmLrhsKQmt101s4/Ll4qdV0JkpaWlpSWgZ0HTt40Gs71rez/lNA7KAwnDe8vdZ2gpwYOHCjPTODqJvos5MwSNgzl7FKeX9TaeaxeK25P+GGJQVisVK3sycvLuNdl61jsPGg2Ftvy5KTtPX5G6rQSZMOGjToTG5yqEXaXUwuxKoNdBQJ+kafHDR8+XOo6QU+Zm5vbl7LBoSI/T6PPQlpOxMWHxiOwcV67Y7/UdcWcGITFypczJqDO5+YO+izk+ja2jePcMsxtM3Py4+Pjpa4rKVZu3a0zNuPhcSo2YYgfTt54NMC2vI2VhZWVldR1gv4aNaAnyZE0G822cYQ/wKUmRmYkhMQlJGZlZUldV5yJQVisdO/WTZ6bQYXG7JlFrwX0WkCLCdTsoVVZrVq9Ruq6EiEnJycyLgGNmj4/Ev0Mv76c+I4zS8lNH9a7i9R1gl6bOH6cLC2O69votxiZjBMLuOSHsbnWwmHb9h1S1xVnYhAWKwqFwtnFhecXaf8JW0bz6AR5WUQ9Rq5Yu32P1HUlwt59+zTGltTpzZ6ZmFjRbwldvsbSXvb65dSJE6SuE/Savb29hYkxZjbsnklpN8buoNs8Go/QGRov3yA20P+AxCAsbmaMHUpOKkfmMXwjKgseHCUmkEpNE1PSMzIypK4r/hav2YSlA9e3MGILlg7c20/wbUqVM1UaODk5SV0n6Lu+nduSnU6dXgRdY+s4Xt3g2Vmy016FBIvbE344YhAWNyOGDZPlpFO1NRuHUdqNYWvp8hUOFbWGxlu2iNsTflhqtTowOIyUGPr8yLaxPDqGOo+Ac0Q+7tmupdR1QhEwa9pkWVoMQTfwbE7LSaS/Jj2eKi3UxlaHDx+Wuq7YkunVbT7UarVKpXr3H3wyMzPNzMw+aFJRZOteJdHIgZaTuLuX5EjsPHgdjFJVjpQnty6am5tLHViUZGRkvPs7duTIkW4Tv8R3EP6H6f0jFvYkRxJyS3bJ79Glk9WqVfugqXrivd4xQa1Wq9VqY2Pj375iUsY9x9wRa0eMzWk6GmTEBnJqYZ3yZe5cPithqp7Izc01MDAwMCjM3WDEzjLF0LhBfeav28WZxXScg7qAVzcwL42RSeSVjWJ15YP6cbkf1s48O8+g1ZxdQtwLjMxwrGqkkJeQKSj8c+2b+h58HItlGWzd2DwKayeyU7Gwe/D4sVarFRvVfgjiPS2GJk0cL8tNx8mb8yt5fhGvNlRtS26W1sj84KFDUtcVWzqd7u6TAFKjqNWDrWNw9KL5BBwq8vJKy8b1pa4TioxPZ0yRpUShzic+iNHbqNaOKi2p2lZtYHzhwgWp64onMQiLIXt7e3MTFWmx1OqOVVn2zeHQlzy/hIvPotWbpK4rtq5cuaI2UFGlFaF3GLUNa0eyk3GoJMtOnTN9stR1QpFRt25dpTafV9ewcmTHZJQmuNYmJw2l6YKlK6WuK57E0mjx1L97p7UHziA3oFwNRm0h9B6afBLDXt28ptPpZDKZ1IHF0ILFP+msnSnIpWITNgzGUEVBLpZlDHQFDRs2lLpOKEoa1vb+JTyH4Bt0m8fJ78lKRqfDtfb1O+KI8IMQR4TF0+yZ02X5mcjlZCTw8wxy09GoiXqiMS118uRJqeuKp4u37pOfRUEuz87SZyH9ltBkFAmv6tWqIX7yEN7Lp1MnylKiKVeTkz/QdzE9vqXtDMpWzdfK7ty5I3VdMSQGYfHk7u6uUshQKFEoaTmJJ2e4tpmCPBy9vv5hmdR1xdD9+/cL5EqsnXHxodFw/A9zbhnJUTJ1wZyp4jp64f20atVKUZDNvf00GsaGoTw7R0o0YXexdJi/SPz9LXxiEBZbHVo1J/w+OjX399N3Ef2W0HwcxmaPnwVKnVYMfbdoqc7KEZfqxL3k0NfotOh0PDmpKMhs166d1HVCESOXy32qeGBVhvPLGbmZ/GweHCUvC/d65y5fk7quGBKDsNj6+vNPZXmZRDzCvR7rB3NvP8E3CX+gNi116dIlqeuKm1MXr2JozKOTlC7HmB3U6kmNrsjlXlWqKBQKqeuEomfO5HGkxVKjC5tHUr0jQ/1oMR5Tq1y17smTJ1LXFTdiEBZb1apVM9TmU8qFoOsMWYNWQ/QznL2x8/hqgbjhdWEKCAjI1SooyKXL12i1bB7F3k94cFhWkDd74iip64QiqUuXLoq8LG7vofs3HP+OQ1/x6CQBF7Atv0CsjhY2MQiLs+aNfAm7T7la7P+M2j3pMZ9q7dFpbvs/kjqtWFmwcInOqiy1enDye+JeUH8ANboS91KendSzZ0+p64QiydDQ0NPNGVMbDnzOwJW41ycnFadqOHodPntR6rriRgzC4uzrzz6R5aRxbx8tJ7HnE459w509vA5RK81v3rwpdV3xcfDUecztuLaZdjNoOARNARb2WNh7uLsplUqp64Si6pOJo2SZSdTpw+YRqCxo/ynenUCXW6ANCgqSuq5YEXuNFnNKS9sCn+4khNB3IY9O8PoVFvZEPWntqjp79IDUdUXAX+6c+erVq4r1W+rMbBmwjCsbiHqCTI6Bkawgd/3XE0aOGPHRUvWE2Gv0vfzvXqO/ycvLM3Hy1Fo60G0ev6wi/TUWdrwOwdJhSIPyWzf4ffxaffAh9hoVR4TFXIO6tQj3p1ZPtoyhlAvNx+NcnfzsSzfvSp1WTHz34yKdZVkaD2fnFMpUpt9i2s3E0EiW+XrggAFS1wlFmJGRkbtTGWRy9n1K62k0G0dpd3w6Y+t24NQ5qeuKFTEIi7mvPp1FViJX1tFrAdc2s3sGVzaQl6U2UIkrcwvFvqOnKeXCtc0MW4+pNfcPEfsScztXJ8c//DFfEN7dJxOGy3IzqNWTfXNICManM+VqkJ2Wna8NCQmRuq74EEujxZxOpzO0stP4dCP6KQOWE3aP+CBMrHh+sZ2n3alD4rb1f+HtC31hYWHuNRvpTEvRbzHHvwVQWZIQIjMyXTFjyMQJ4z9eqN4QS6Pv5S1Lo0Bubq6pc2VtaVfazODBEcL9MTIlLxPz0iMbV9ywZtVHrtUHH2JpVAzC4q9+0xa3o3NoPIJf1uA7GCcvEsO5ssEwLSY/MULqOn339n/Wx4yfuP70XRoM5OZ22s/GwZPEEO7tl7+4nBn1UqVSfcxUPSEG4Xt5+yAEXL3rhWdq0UGnz5ApiHiAQkl8kFnolYzo4I+ZqifEZ4TC3/HlJzNIjePCKvovIfAC+z/jygbkCrWB0e3bt6WuK9p+PnQCWzfu7WfYBiIecvgrHp1AJncq61Ayp6BQ6GaNGyrLz6VaO84tJ+ACTt6UciEjIStfGx4eLnVdMSEGYfHXvn17RUEmrrXYM4sOc2g1laqtqd5FZ2H/7x+WSl1XhIWHh2flFRD3nNZT2TSC5EisnYh4SNzL6aMGS10nFBMjhw+X5WUSeoeWEzEw5Pi3nFtGerzO1mP+9wulrismxNJoiVDbt8n9BC2NhvCLHzW74VydlCiublZmxeclREpdp9festA3dsKkdSdvUKcvj0/QbR7GFiSGEXhB/vBIRlSQiYnJR07VE2Jp9L385dIoUK5a3Yi0AoxMaDIKa2fC76FQEuFvFn4rI/rVR0vVE2JpVPibvvp0JqlR/LKG/kuJesLRf3NtM0amBTJjcWX937bzwFHsK/HiMn1+5MY2dkzk5nbyssqWcSixU1D4EGaOGYK2AI+G3NnD7V3YuGBsTnpCVoFYHS0cYhCWCJ06dVLkZ+Pkzc/TaT6edrPw7ki1DjoL27nfL5G6rkgKDQ3NzlcT/5LaPdg2AVMbvNqQk07MsxljhkhdJxQro0eNlOVlEhNA/UFYOnBmMZf8yE7RlXb/ZsEPUtcVB2IQlggKhaJ6VU8SQ2k6in2ziQ3ExQdjFer8i9dvSV1XJH3z3fc6C3uqd+b+YYatw6sdDpVx9palxY4dPVrqOqFYUalUjva2JIdzZT2lXOjzI3X6UKcvFva7j56Ruq44EIOwpPhq9gySI7i8gT6LiH3Osflc345SpVYYX7lyReq6omfP4RM4VCLmKa2ncGQe++dwZR2ZiU4OYl1UKHyzxw1Dq8G1Jg+PcWM7Nk6YWJKVnK0mOLgkXkRRuMTJMiWFRqMxsimjqdKGmGf0/pG0OOJeoDThyamm5W0unToidaCe+sNTP4KCgirVbaazdqJ+f27uxLsDxmY8v0xq9LKZI6ZOmSxJqp4QJ8u8l3c5WQbIzc01caqkc65Oze7EveDZOWQyABPrQfVct29a/zFa9YM4WUb4+xQKRY1qVUiJpNFw9s8hMQS3Oqgs0BRcv+OvVz8P6b+533yrMy9N5RYEXWfoWlx8MLXB3kOWHj92jFgXFQqfsbGxS1kHXgdzfSulXen+DTW6UrM7lg4HTp6Xuq7IK5xB+OzZs1atWrm5uXXv3j06Ovp/H/DJJ5+0/v+GDx9eKC8qvK9/zZlFUgTXttDre8Luc2w+t39Gp9UoTc6cEZ80vIeDJ85QpjIpkTQYxL5POf4tVzeRHu/i5CT2FxU+kDkTRqBV4+zN/UM8OIyDJ1aO5GXmamWBgYFS1xVthbA0qtFoKlasOHr06OHDh8+fP//p06cXL/7+vpEtW7Zs1KhR48aNARMTE19f3z98KrE0+kFpNBqjUmU1lZoT95K+i4kNJPY5Kgte3ahjb3jnkpiFf+B/F/qePHlSvWl7nY0LPp14eAyfzihNCbxAYrjflxPHjh0jVaqeEEuj7+Udl0aBgoICIwd3nbMPNbsT9ZjnlzAyIy8TC7vu1WwP/rzzI9Tqgw+xNFoIz3X+/Pm8vLxPP/1UJpMtWLDA1tb2xYsXlSpV+t3DqlWr1qpVq3/+csLfplAoantXvR0XTcMh7JlJg4FU70hiGOj8nzzTaDQKhULqxiLgy7nf6ExtqOBL1BMGriD+FTmplConD7s3fPgwqeuEYsvQ0NC9nFNw/CuubabxSNzrE34fmYz0hBMXLkhdV7QVwtLos2fPatasKZPJADMzswoVKgQEBPzvw7755psGDRqMGDHi1asStxWC/vh81jSSI7m+lR7zeXySY/N5cITMZK3K+sABcZ/ed3L6wmXKViU9gdq92Tub0wu5vo30eHc3V3E/euGD+nr6BNQFuFTn2mbC7lG5OWWrgq4Ag7t3xR1G/753PSI8dOjQ/37Rx8fHzc0tKSnpP1dCrKysEhISfvfI0aNHOzo6GhgY7Nixo2HDhk+fPrW1tf3DF9JoNNbW1r/9dtCgQQsWLPizqqysrHfsF96oU6eOgSZXbVuew1/TbynPLxL7HFs3XWLYVz8s79Chg9SBeicrK+vND3lv3Lp1K1+uJDmCau05vZDqnVCqCPiF2MA586ZnZmZKmKonfveOCW+n/v/e5cHdunaVT/1M+zqExsMJuMChf2HtSFK4rrTbJ1/9+/j+nz90rT5436VRY2Pjv3zwuz7Xrl27/veLpqambm5u1tbWT58+/e2L6enpNjY2v3tkv3793vyiQYMG165dO3HixLBhw/7whRQKxX/ecNLExMTIyOgtYeIzwvei0+ma1K/zy6tY6vbj52m0moJ7PZLCSY19FRqmVCrFMc3v6HS6//wem//DIkxt8GhA9FMG/ERCKDmpWDvKI/2HDR0q1pb5n3dMeLt3/4zwjcoVPZ6Fh3DRj/afkBJNyG2cvFEYXr972tTUtCT8CGLw/xXmc77j4/bt2/dn/8nd3X39+l+vYsnPzw8JCSlfvvxbnsrKyio7O/stD/jPI0Kh0M3/+nPfzv24uZ0uX3Pie0qXQ2VFYpjW3G7Dho0TSuS9ZN+RTqe7dvseVduRGku9fhz8kqxklKaY2VT1rCSmoPARfPf5jK4jpuBWl5M/ULsXvkNIjSHqsVpmcO7cuTZt2kgdWCQVwmeEHTp0SE5OPnjwILBq1SpXV9caNWoAx48fX7t2LZCRkXHp0iW1Wq3RaHbt2nXnzp0WLVr889cV/p4GDRoodQWUduf0IvouxMSamABKuWDrumDVBqnr9NqxY8c0SlMSQnD24fh3uNahRjdkMuJffff5TKnrhBKhS5cucp2a2EBaTCTgPBdWEP6A6ACsysz5959+iiS8XSEMQmNj4927d0+fPt3a2nrjxo07dux48/WAgIBbt24B+fn5kyZNMjExsbCw+Pbbb3fv3u3p6fnPX1f42zq2akZaDNU6cOALfLrQcQ6VW6Kyjo6JS09Pl7pOf335zQJMrPFsTtBV+i6mfH3MS2PjrMhJ7tSpk9R1QklRp7oXSRGc+4m2M3GoRMQDCnKxq/DoaeA7ftYo/E5hbrGWm5v7lpVurVarVqvf/hGUuI7wQ3tzjVdgYGCVxm1RWdFyEhf9qNoaUxteXScx/PNh3b79Zp7UmXrkt6vi8vPzVaUctNU6kZdJ01Fc3URiGBYO6LSNyyiunDkmdam+ENcRvpf3/YwQuH79euPOfXU1u/PyKh1mozQlOZKUaG7v2rZ0/uDBxfym0Pq+xdrb/1/K5XJxIoaeqFy5skoho3Q57uyly1eE3ObePlKisSu/eutuqev01NatW7XGVsQ9x6sNB77AzJYKjUmPlyWE/DjvC6nrhBKkYcOGCpmMiIe0nsKZJTy/BDryszG2+PqHpVLXFUlir9ESanDPzqTGUq4m17fS5Svq9MGrLVZl0jIyIiIipK7TR/N+XIapNTW6cWcPPebj0wmHiljYGqiz6tevL3WdULK0beZLWjznltN9PvEvubaFoGtYlYmIjBLX8PwNYhCWUP/68nNZWjxPT1O2MscXYOGAvQdKE52R+edfi6XR30tNTY2Ji6OcD88v0uVrHp3g/ApC75Cb2aVNc6nrhBJn0bfzZHkZVPDlyFxaT6NOH8rXx9FLq7JevnKl1HVFj7gNU8nyn5/flCpXKdnCDRNrnKtxezd25clKQVNglBKWm/gHO6eXTG/esS++/Oq7dbtQWdJhNqcWYu2IwpD4V7LctJc3z3t4eEidqUfEZ4Tv5W98RviGyr5crqkd9QZyexfNxqE0ISmcu3ustBkpEUEfIlVP6PtnhELRMnXUEFJjMTQiN5M2M1AYIjfAziNPJ39zuq/wmxUbd2BuS8OhnF5My0k0HknFJihVKgO5mIKCJAb36kx2Crd20nQs55fjf4hwf7SatMzcmJgYqeuKGDEIS64Z06fKspKIekLkY6KfUH8gtXtg64ax5Ywv5kpdp0fCwsIys7Nw9ubWLnp/T/prnpwiJYr87NEDekpdJ5RQ//7qS1l2Os7ePD5O5y/R5JMQjI2Lztrxi3/9W+q6IkYsjZYsv1u2cvOqFaaxxMWHhGDkBnj4kpHEk5OKzNd5CZFiqxQgIyNj2KixBy/dwciMXgs4t5zMRGRylCpZ3POE4GelSpWSulG/iKXR9/K3l0YBG5eKKTpjPFuQHkeDQaREk55AyE1l7NO81+GFnqonxNKoUMi++WwGabFEP6Nmd0xtuLmTwPMYKDXGFjt3lpTbm/2lo+cuYu1Es3Ec/BJnb5qPp0orMpNsbazFFBQkNHviKHIziHmKyooLq9BqUBojV+TLDO/duyd1XVEiBmGJ1r9fP0VeBvlZnF9B5ebU64dDJVxqYO30xQ8/SV2nFy5duqTWgn0FLvnRehrudclKRqclL+vLGROlrhNKtCmTJ8nyMjC1wdQaJy8u+RFwgaQIrJ0nzPpM6rqiRAzCEk2hUNTz8UKrxasdpxZiYEy19ti6o7KKjo1LTU2VOlB6s+d+h7E5kY/pOpeIB5xezP0DJIXLC7LGjinpN6MXpGViYlLezZWop0Q8oFQ5fIeiVFHKBeuy9x8+0Wg0UgcWGWIQlnSLv51LRgLPztJqCje28uISeVnkZerMbL+a943UdRLLzc19+SoYh4o0GMi1TUQ9wbUWxhYkhFSpWFHslCRI7vuvPyM3HZUFN7aDltq9qNgY89JaA+ONmzZJXVdkiEFY0tWvX98YNUoTLq6hwxziXvL4BBkJWJXZuGu/1HUSW758hdZAhbE5/oewr0iLCZTxxNaN9Pil3/1L6jpBoEePHgpNHjnp1O3HvQO8uoHCEGQYmX21YInUdUWGGIQCA7q1IzeDCo24voXWU6ncgrJVsCybk19w//59qeuk9N2K9RiZkpdFlVa4+BB4kZhAstMMdepWrVpJXScIyGSyFo18eR3MzW20nUlsIHf2EHoPI9OEpJTXr19LHVg0iEEo8N2/58qyU3h6Blt3rm/FqRpudTCzwdhi8icl9yP38PDw9PR0XGpgWx6ZnLNLeXWdkFukRndp00zqOkH41fLFP8hy03GsxtmltJyMoxeGRti66azKfPqlWLd4J2IQCtjb29tZmWFqTfprTG24vo3MRLRqDIxuP3haYu9wNnHGbJ3KnLQYDJQ8Oo5PZ6p3RG5AUsTSH76Tuk4QfuXp6WmiNCD+BZVbcmEllZtToxt25TGz2XnohNR1RYMYhALA3FmT3mw0SpnK2Hvw8BjBt5ArtCqrNX5+UtdJ4/Sl6yhNKe9LxENaT8PGCbkBYGVi5OzsLHWdIPyfKWOGk5HIs7M4V+PKRrRqDFUYmRfIDC9cuCB1XREgdpYpWf5s1w+tVmto56o1sUFhSIsJvA4m4iGGxuRk2GRHJoUGfPxUae3evbv/xNlU70jsc9pM5+kZksIxs+XV9YWfjJ01c6bUgfpL7CzzXv7JzjK/SU9PtyrrpqvcHHNb5IYEXcXOg5Ro0FUw1718UKy2DhY7ywgfilwu9/WpisKACg05vxwbZ6p3wKES5jbJqWlhYWFSB35sM+YuwFDFq5s0H8/pRYT7k5FIwit5dsqkieI6ekG/WFhYlHd1JvYFCaHYe1C5JSlRaNWYlX4VHJKdnS11oL4Tg1D41YpFC8hO5dUNfIdyeR1ZyagsMDLF2Hzi9FlS131UCQkJsa+TsC5LszGc+hGXGtTuhbM3WSnVq1b+hz+8C8KHsHD+XLJTMFBybTP2FajVC7c6WJbVGZt/8fVcqev0nRiEwq98fHxMDECn5d4+6vblzl4iHpAWj6HxmV+ulKhdKqZ+MgelCaXduLKRev1xrY06H62WnLSVi7+Xuk4Q/kDXrl0NNLnkZVOrB5fWIpNhXwlTK0ys/Xbsk7pO34lBKPyfKcP7k5+LQyVeh1CnD4lhpMZgZKoxsti+fbvUdR/PvhPnkStIDKXhUHRaHh4h8hEZiUYGCl9fX6nrBOEPyGSynp3akxjGvQM0GMjNHSSHo9WiNMnVym/cuCF1oF4TJ8uULG8/kSEnJ8fU2VNnZIplGSq3QKEk6hEyOYmhpdXJCcHPPmaqVPbt29dnwqeUr49VWeQKnp3DQIkmH5lsavfmy5YskjpQ34mTZd5LoZws80ZcXFzZCtV0lZqgVeNam3sHMLUmOw2lytNSF3ivmMxCcbKM8GGpVKqq5V1QKLF1594BdFrK1cLCHnO7xOTUEnLKzJQvvkFpQloMcjkvr+LVFg9fdMjS4v4992up6wThTzk4ONiVtiExFANj1Hn4dEGnw0CJqc2Ll0GZmZlSB+ovMQiF/7J26Q/kZhD7nAaDuLOHrGRUlhibY2w+ZtJUqes+uOjo6LjkNAyN8WxO8C0aD8eqDHIF6jwPF0cLCwupAwXhbRb++0vSE8hI4MkZTCzxaotLdcxL64zNZ8/5Quo6/SUGofBffH19jRU6ctK4/TO1e/HwKPEvycvCQHnh2q13X7UuosZOnYGRKW51eHiMpmNIjSHyMRmJZKeu/HG+1HWC8BcGDhyoUOcgV+DVhps7kSuwdUdliVnpjXsOS12nv8QgFH5v8tC+qPMpW5mEUKq2JfoZCSEoDLUqqxUrV0ld9wFptdpTl26ig9A7tJ7G09M8OErUE9LjlQpZmzZtpA4UhL8gl8s7t21FYhiPjlO7F3f3kZOB3ABT63yZwdGjR6UO1FPiZJmS5V1OZMjJyTF1qqQzMsXcDp/OpMYQ7o9cAZilhmXEBH+UUgksWbps5g+rKVsZt7qE3SP9NTbOxL0AJnVvvmKZuKnNOxEny7yXQjxZ5o2YmBgnT2+duy9yOaXK8eIyTtVIjSUruYxhXsyrIn/KmzhZRvgYVCqVt6c7yLBz5+YOSrtSsQmlXDC1yczOvn37ttSBH8q/Fq1EaUJBPlFP0Wqo1QNrJwyMZemvv/+2pN+jWCgqypYtW8bOjtRodFos7HDyJibgzbX2ca8ToqOjpQ7UR2IQCn9g25rl5GcT+4Lqnbi7D5UFlmUxtcLYYviE4nnKzN27dzMLtACOVchOpVoH8nPQ5JOTUqWCm6mpqdSBgvCuVvw4n7RYcjO4tx8PXxyrojBEZaGzcBg6dpLUdfpIDELhD3h7e5sbG5KVzMsrv66uGBiiUGJm8zw0KjU1VerAwjdo7GSMzSnvy8tr1O1DQjAxz8hIJCtt4/9r787jo6jv/4G/5t472dwXhIBAuJEjiIKCxVvrbcUDKZ5FrC1a+9VqW2l9PycAACAASURBVEFLKVWqtSoerQcKCHiACHiBIKKYFoRwBQJJyH3tvTvnZ35/JPqzFSGBTSZLPs9H/tgNm/m8Zh7svmdnPsffn7A6HUV1wJVXXsmbBkyCwsnYthT5o3HaeLjT4c3ZsHlrj11Y7RhoIaSObs5vZkFX4fQitTeUMI58A2LC5jLtyXfe/Uur08VZc3PzgYoaEAOHv8Kk27FrHfZ+ioYyhBocDtu4ceOsDkhRHcAwzM+nXoOWKuz5CEnZKC+GMxWeDDhTCC8+8oc/Wh2w26GFkDq6e3/5S5ZoqN2HXWtx+hVoOYL6Uhg6eGHF6rWn2NSjt8+8x7QnIWsghl2Ikg/RdBjJOVBj8NU8dM8dVqejqA57csF8JhZEUg7sbjQcRKgBkguSA/akJ1/oQdMlthMthNTRMQxzxZSzYejIHYqS9Rh2MWJ+xIIAQ+zJf3vqKasDxg0h5L2PNkOQEG5GpAWBOgyegqRsMCwX89098xdWB6SoDnO5XCOGFCJQi8odOP0KlH6OiP/bcRTc22+/bXXA7oUWQupHvfDs09BkVO6ASWAa6DsOvAhBRHL27/78N6vTxc2jc+YSmwsMh4GTULEdwy4CJ4BoUMKXTjmH4zirA1LUiXhl0TMI1sOehJJ1GDARZV9Ai0F0QnTc/uvfWp2ue6GFkPpRqamp/XrnQI1CcuGbNUjtg5whsCfB5lFU9YMPPrA6YHz8+R8vw+5Br+HY/i5GXwViIFiPYCOjRl989u9Wp6OoEzRixIhkjwuxAOxJsDnhzUXNPugKGLYlECkpKbE6YDdCCyF1LEteehaaAn8tBpyN/RuRkgdvHiQnXOnTf/mA1eniYNmyZSorQA6h4SBO/ymUCCr+jUgLAjWnFeSnp6dbHZCiTtzf5z2KQB38tdi5FgPOBicgFgDLIzn76mm3W52uG6GFkDqWsWPHuu0SQvU48g3kECI+uFIhOuDNbWxqPgVOKu+Y/RAcKeh3FpxesAL2fIKWIwg2wFezeNHTVqejqJNy0003CaYGXkD+aJRtRf+zwItgWYiO0gMH6uvrrQ7YXdBCSB3H3x77HdQYRBv6noEDnwMMbC44vBDsV990q9XpTsqWLVuCig6io/xr9J+InWtgEoCBJnvczqKiIqsDUtTJmjXjZgTqcehL+Koh2JBdCE4Ax8Odft20xH7/xhGda7RnObF5IIWUXF1wwOZG7hBEfcgcgHAz6krRUlFV8nVubm5nRO0COf2H1Go2JOcg/3SUbgYnwp2O6hIo4Vf/+odpN98MOnNmx9Ej1iFxn2v0h9uX0vJI5gBkF6JqF4ZegNr9CDeCGEx1Sai2POFmTaJzjVLW+PUd06BGkJIHhwfBBsghSA54MiDYrpo6zep0J2jv3r21zQFwAuQQmirAsMgbBgCGJuhyaxWkqETH8/xFkycg3IyDW+BKg68GSZmQ3LC5TdE57VY6TBaghZBqj8fmPMqaBHX7UboF/SeiugSEQLRDcm/btbelpcXqgCfisp/dBHcawKBwEmp2o88YEANKGGr0gZkzrE5HUXHz6kuLmEgz7F44vSj/GqIdnnSAgTfvnXUfq6pqdUDr0UJIHZ8oipefPxlKBGl9EKiFYEOoCaIDnkyI9mtvvMXqgB1WUVFRVlkD0YW0fHyzBgPPAccjFoCvijXUOY/+0eqAFBU3qampIwYNgBxC1S7kDUftPogOSA64Uk1WuGMmnYabFkKqfV59+QXGUFF/AHX70e8MNB0GMWBzg5M2bC0OhUJWB+yYi666Du50yEFwAtL6QLAj2AAlgmDDzVdezLL0fUGdUt5Z8hrCjeAlyCE0VwIMbB5wPJJyXl+5mk7DTd/wVLu43e7xo4YjFkBKHmr2wpOOcCNsTngyTdFx1fWJdEetsrJy78EK2JNQMAbVu5E3HOEmhJoQamR0ZdGzz1gdkKLirE+fPvlZGdAV+KpQMBY1e8BL4EUkZRCwd919j9UBLUYLIdVeK5csZlQZjYfgq0avkfDXgRhwJIETPtnyVTAYtDpge51/+TVwpiDSgoZDGHwugvVoPARdQXPlJedNliTJ6oAUFX+rlr2GUBNMgpZKRJoBAsEOhkNy9r/eeqeHfymkhZBqr6ysrOFDBiDqhycTNbvhSkU0AMmF5BxTkH56zfVWB2yXsrKy/WXlcKei33gA4O2oP4BoAGqUifmXvPKS1QEpqlMMHz48K8UNw0C4Bb1PR90B8BJYDu50An7G7XdZHdBKtBBSHfDeW0ugROGrRKAeecMQrAcAmxui87Nt2xsbG60OeHxTLrsSzhSEW3BkBwacjZrdiDQDQLD+3HPOosNSqVPYe2++gkgzDBUtlQg1guUh2GAYSMlbvHJVLBazOqBlaCGkOiA/P3/IgH6I+OBOQ8NB8CIMDTYXvLng+CmXXW11wOPYvn17eVUtPBkoKIInC9EW+Kpa/4kJNb79Jl2njTqVFRUVpXscIAQRP3IGo6USgg2mAcFuivZrb0zUMcEnjxZCqmNWr1wGOQJfNVqOIGcIArVgWEhOuDN27i09fPiw1QGP5bzLr4XDi6gfR75B/ihUlcAkIAaU0OSzz/R4PFYHpKjOtXrpq4i0QJMR9aGlEoIdHA85iKSsNR992s3HBFdWVl5zyx2FRWcPGnfO3fc9GAgE4rVlWgipjikoKBg2eCAiLXBnINoCOQyWBy/BnQ7BNuHCK6wO+KPef//9Zn8QSVnIG4G0fPiqIIdgAgzDBOvfXfqG1QEpqtONGzcuw+sCTATrkZQNJQxeAgBNgSvtJ5dcaXXAH7Xliy8GT7hgZdrVFbM+O3j7+kXBgUPHT6qtrY3LxmkhpDps7bsroIThr0HtfnhzoUYAQJOR2rumtmbDhg1WBzy6a2+5A45kRH2oKUH2INSVAgDRoUQvPu8ndHpMqof4cOUSRP3QFHACavfCmQoAMMFwO3bv3bdvn8X5joYQ8pMrpkZ+8R4Gndt65m2Mu7F6yh9mPzw3LtunhZDqsNzc3DPGjEakBUlZsHvQXAnBBqJDDsOTdcnPplsd8CjmPva4rOlIykLv05GSB381tBgYBgzDhJtWvPma1QEpqouMGDEiPzMFponGQ2BYCDaYBPYk8AJsnokX/tTqgEdx+12/UEQ30gu+/0tz2EWfbfkiLtunhZA6EWveWc5oMfiO4MhOGDo4EYYOmCB6zCB/WbDA6oD/RVXVP/xlIZxeRHyoKkHmQDSWg2FADMSC06+/uvPm/qeobmjDmncQ88MkSMpGUzkkF3gRSdnghaZA5K233rI64H8JBAL/fGsVbD+4hc+wsqLEpQlaCKkTkZKScsVF5yMagCsVafkINYIXwYmwucFw/zd3QfvX0uoCF11+tckKSM5B/kg4vIi0QIvBJGBYVgm+tOg5qwNSVJcqKCgYVdgPJkHNbvirkZwDXYPkQEoeOOHGX/y6Wy3Pd8ak82DzIBZA7L9n7TiyMzM9PS5N0EJInaClb7zGGCp8VWgoQ0sFnCngBLjSkJRpsvy5F11mdcA2paWln27eAqcXoQbUH0TOQIQaYehgeQTr/vS7B+jMolQPtGHdaiYWAMsjOQe8CDUCVgAhSMnTiTn91tutDthmy5Yt+ypqwTLIGICXb0Ho28HKDQfxwo1/eeQ3cWmFLszbs8R30dSHH/n94089j4zTwLJI74fa/UjOhhyEHERj+a6tG4YOHRqvtk6YN6ePX9aQVQhPJuoPIv90NB5CNABDkWSf3FB57D+ny8x2FD1iHdLZC/Mew9Sbb1n64RcwCRzJMA3kDEX9AahRmAYCDbUHS7Kysro+1f+QUnNVWzI4HpITvU5HeTFEO3QVUX8KqzRXlcWlFXouTJ24x+bOEXkOvmoQA4Fa6DI4AUoEahTu1KKfXGJ1QPxlwQJ/MARXGkKNUMJI7Q0lDGJAssNf897rL1odkKIss/iVf7JqGJwAXoIrHURvHVwPE5AcI8afY3VA3HHXTJWVQAwk50JXocVAdMQCiAUQbtq49t14NUQLIXVSVr72ItQIdBm+anA8OA5qFJwEXY2pxq/vu9/CbMFg8P8enQfJBUcyvLnwVUOww9DB8WiqyM3JueCCCyyMR1HW4jju2T//EVoMwToA8NeC5eHwICUX7vSGZt8z//iHhfGqq6tfXPI2bC44U8DxSO+LcBNgwjRhaKOGDRk2bFi82qKXRnuWzrhs1XvgkCMNfqQVwJEEXkTjIbjSYBL4qhH11ezfmZ2dHd8W26nPwGEVdY1IywfLI3swjmxHWgG0GBrLEW6q3b+jPVd+6IW+jqJHrEMsvDTaKim3IGjwYPjWCbhhc0KNIVAPhmECdcHaw1Z9xibn9AmYdoDAngyiodcIBOoRqAPLMk3lwdryOAaj3wipk/X1pk+hKwg3oakCLVUAA8kNNQaWhS2pcPRZlqR6ftGiiupqSE4QHZqCcCM4AWoM/jrE/D+77PzucP+Doiy39aM1kMMwVHjSYXdDU6BEwDDQYqYgDRlzpiWp7nvgtwHFAC8iNR/ZhWBYaAoA2D1oqXrgnjvjW55pIaROVmZm5owbrkHUB5sTugzBBo5FLADRAaIHI9GZ9/yyiyP5fL6Z9z0I0YGUXkjpBW8OIi0gBIFaRJp5U1vy+qtdHImiuqfBgwf/5MzRIDoayxFqQiwAk8CTDm8veDIra2qfXLiwiyOVl5c/uegVOFOgyQjUQg5BdEJXoKtoLLPbbY/NeTS+LdJLoz1L5122klKyVVZCUiYcyeAlNB2GOwNyqPW/csnWjUOGDOmMdo8qJbePLyzDnQbThORE1gDUH4QWg6Yi6lu77JULL7ywnZuiF/o6ih6xDrH80igAwzDE1FzC22BzwTRh98CZgpYjUGPQFaix6v3f5OTkdE0Y0zTt6bkK7wYnIK0PlBBMwCRgOTRXQIt99eGqUaNG8Twfx0bpN0IqPjatfRdqFHIYzZUItM6EayIWhBoFy484a3KXLYE9bcatvlAEgg3OFHhzoavQVUgO8BJ0ecjAfu2vghTVE3Act/TFv0NXIIfgSoNob5t3KSkLydkQpNOGF3VZmEnnXayYPGxOSE6oUbgzYWiQw/DXwMR5E88YPnx43BulhZCKj3Hjxp17ZhGifkguxMIgJgwD7jQkZcHhNVip/8ixXRBj7dq1ry9/F7wEby4AuFLBsFAiAINwM6NGizd90gUxKCqxXHvttYUFeSAEzRVQZcgRsBwYFpEWMExMNyZMPq8LYrz00kubirfD4UUsDF1pu07LizANcAKvx9a993ZntEsLIRU3H32wijcNhJshOWH3AIBgR7ABnADRVl5e+Yu7Z3VqgKampkuuuwm8HTY3ogFEfdA16ArCzWgsgxJZ/NxCOq0oRR3V9q2bWV2GaSDaglA9iAEtBlc6knPh8G75z84Ff/1rpwY4ePDg7bMfhM0DhkHGafDmwdChRsEJYHkEGzauWdlJ80DRQkjFDcuyX3y0GkoEWhRyECwH0wRvA8fDMMCLz7+2bOXKlZ3UOiEkt/8QU7C39QJPyQXDQ5fBi4j4wbAjBvW/4YYbOql1ikp0Nptt+SuLoCmQIxAcAGBoEFvPZXkItgf++KctW7Z0UuvRaLRw1HiIDtg9YFjEfOAltJ5YN5UjWH/JlElnndVZXdBpIaTiaezYsTdeeQmiAbAcmsshB8HzUKNIyoTNBdF2zc/vKikp6Yyms/sOVMGDYZHaCyaB6AQD6CpEJ4jGadF/b9nYGe1S1CnjqquumjBmJAwNoXo4kttWlUnKhK7ANMEJEy+8vKamJu7tmqaZnj/A4EQ4UhD1w9CgyyAaRAdifoCx88zqtztxTQxaCKk4W/zqP5OdIqIBOJIRboaqAIAchuSGLQmCffgZk6urq+Pb6JDRZzT4Q2A52NwItyAWBNGgyfDXoKkccujLj97nOC6+jVLUqWfzpx9KLGDo8FWBYQACXgInwZEETjQZttfAEeFwOL6NZvUrjGoGbB4QHWl94EgGMRENQLDBBKItpdu/ZBgmvo1+Hy2EVPyV797BqBHEgrC5YBIQA7oKYoBhIDlNQexVOLKuri5ezRVNmLTnwGEIjrZZE20OANBU2JPBsDDJb2beOmbMmHg1R1Gntv07voKuQNcQboIchqHD5oKuwZEMTiAMknP7xmKxeDXXZ+CwhmY/RDtsTjiSwLJgObAcgnVoroAcfO6vj+fl5cWruaO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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "plot(sol, vars=(0, 1))" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "## Forced oscillations\n", "\n", "### Problem definition\n", "Let us consider now a forcing term $f(t) = A_f \\sin(ω_f \\cdot t)$" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "ωN = sqrt(k/m)\n", "ωf = ωN * 2\n", "Af = 10.0\n", "R = [ [ Af * sin(ωf * Δt * (i-1) ) ] for i in 1:NSTEPS+1];" ], "metadata": {}, "execution_count": 4 }, { "cell_type": "markdown", "source": [ "### Second order problem resolution" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "X = nothing # state constraints are ignored\n", "B = ones(1, 1)\n", "sys = SecondOrderConstrainedLinearControlContinuousSystem(M, C, K, B, X, R)\n", "\n", "ivp_forced_secOrder = InitialValueProblem(sys, (U₀, V₀))\n", "\n", "alg = Bathe(Δt = Δt )\n", "sol_secOrder = solve(ivp_forced_secOrder, alg, NSTEPS=NSTEPS);" ], "metadata": {}, "execution_count": 5 }, { "cell_type": "markdown", "source": [ "### First order homogeneization formulation\n", "The problem can be re-formulated as a first order and homogeneous one given by\n", "\n", "\n", "$$\n", "\\left\\{\n", "\\begin{array}{l}\n", "\\dot{u} = v \\\\\n", "\\dot{v} = -\\omega_N^2 u + u_f/m \\\\\n", "\\dot{u_f} = v_f \\\\\n", "\\dot{v_f} = -\\omega_f^2 u_f\n", "\\end{array}\n", "\\right.\n", "$$\n", "The new vector of variables is\n", "\n", "$$\n", "\\textbf{x} = [ u, v, u_f, v_f ]^T\n", "$$" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "K = [ 0 1 0 0 ;\n", " -ωN^2 0 1/m 0 ;\n", " 0 0 0 1 ;\n", " 0 0 -ωf^2 0 ] ;\n", "\n", "C = -Diagonal(ones(4))\n", "M = zeros(4,4)\n", "R = zeros(4)\n", "\n", "sys = SecondOrderAffineContinuousSystem(M, C, K, R)\n", "\n", "U₀ = [u0; v0; 0; ωf*Af ] ;\n", "\n", "ivp_forced_firOrder = InitialValueProblem(sys, (U₀, U₀) )\n", "\n", "alg = BackwardEuler(Δt = Δt )\n", "sol_firOrderA = solve(ivp_forced_firOrder, alg, NSTEPS=NSTEPS);\n", "\n", "NSTEPS = NSTEPS*3 ; alg = BackwardEuler(Δt = Δt/3.0 )\n", "sol_firOrderB = solve(ivp_forced_firOrder, alg, NSTEPS=NSTEPS);" ], "metadata": {}, "execution_count": 6 }, { "cell_type": "markdown", "source": [ "The solution obtained is" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=3}", "image/png": 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