{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Particule dans une boîte uni-dimensionnelle\n", "\n", "##### Germain Salvato Vallverdu [germain.vallverdu@univ-pau.fr](germain.vallverdu@univ-pau.fr)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "from scipy.constants import h, m_e, elementary_charge\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Description du système\n", "\n", "On considère une particule de masse $m$, se déplaçant librement sur un segment de longuer $L$. Pour un tel système, la partie énergie potentielle étant nulle (on choisit $\\hat{V} = Cste = 0$) l'équation de Schrödinger s'écrit :\n", "\n", "\\begin{align*}\n", " \\hat{\\mathcal{H}} \\phi & = \\varepsilon\\phi \\\\\n", " -\\frac{\\hbar^2}{2m}\\frac{d^2\\phi}{dx^2} & = \\varepsilon \\phi\n", "\\end{align*}\n", "\n", "Les conditions aux limites ou sur la fonction d'onde sont les suivantes :\n", "\n", "\\begin{equation*}\n", " \\begin{cases}\n", " \\phi(0) & = 0 \\\\\n", " \\phi(L) & = 0 \\\\\n", " \\displaystyle\\int_0^L \\left\\vert\\phi(x)\\right\\vert^2 dx & = 1\n", " \\end{cases}\n", "\\end{equation*}\n", "\n", "Lles fonctions propres et valeurs propres de l'opérateur Hamiltonien dépendent alors d'un nombre quantique $p$ et ont pour expressions :\n", "\n", "\\begin{equation*}\n", " \\begin{cases}\\displaystyle\n", " \\displaystyle \\phi_p(x) & =\\displaystyle \\sqrt{\\frac{2}{L}} \\sin\\left(\\frac{p\\pi x}{L}\\right) \\\\\n", " \\displaystyle \\varepsilon_p & = \\displaystyle\\frac{h^2p^2}{8 m L^2}\n", " \\end{cases}\n", "\\end{equation*}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def phi(x, p=1, L=1):\n", " return np.sqrt(2 / L) * np.sin(p * np.pi * x / L)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def epsilon(p, m=m_e, L=1):\n", " \"\"\" return energy in eV \"\"\"\n", " return h**2 * p**2 / (8 * m * L**2) / elementary_charge" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vérification de la condition de normalisation :" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0000000000000002" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L = 1\n", "x = np.linspace(0, L, 100)\n", "np.trapz(phi(x, p=2, L=L)**2, x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Représentation graphique des solutions" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":27: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n", " plt.tight_layout()\n" ] }, { "data": { "image/png": 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zuQP4ZkspmxfweUpt0bcmJBA2ZiyZe/fi8fDD+A0dis7V9bYeK6UkffNm4hcsQOfhQbk5n2JuoiZPlCb2rCwiXnyR1N9+x61JEwLGjkXv6Xnbj888cIDYTz5B5uRQ9p2ZeHXsWIRpFUcjbTZiPvyIhC+/xKVKFQInTSrQyUP2+fPEzpqFNSaGoEkT8XvyyVLZZVSSiv59wL/AIcCed/dLQAUAKeX8vC8Gc4COQAbwpJRydwGfp1QW/czDRwgbPRprQgL+w4bh+dBDd3Sc7HPniHnnHWyJiQS/8gp+AwcUclLFEeWEh3Nx1ChyTp7Cu3dvfPr1y/fM7Fas8fHEvPMOOWfP4v/M0wQ+//wdHUdxLraUFMKeG0/Gtm24t2lDwKhRCKOxwMexZ2QQ+9FHZO7bh2enTpSd+TY6k6kIEjuuElP0i0tpLPopGzcSMXESOnd3AqdMueumVVtqKrHvv0/WkSP4DBxImVenlcpv3KVF5uHDXHjqaWRODgHjxuHevECNa9ex5+QQP38+6Zs3437ffZSf+5kaJ1KCWSIjOT9oMJbISHyHDMGrc+e7+ryQdjtJP/xA8qpVuNaoQcVlX6H39i7ExI5NFf0CKm1FP2P/fi48MQRj2bIET5tWaL8c0mYj/ssvSduwgYBx4wgcPapQjqs4lpzwcM716Qs6QfCrr+ESeu0s2jsjpSTl559J/OorvB7tRtl331VfHEsgW1oa5/r2wxIZSdCLL+JWt26hHTt9xw5iP/oItwYNqLhkcan54liQoq/a0EqZ7LAwLo4chc7Lq1ALPoDQ6/EfNgxzixbEzZ5N8i+/FtqxFcdgS0vj4jPPYM/KIujlVwqt4EPuB5f3o4/i1bMnKWt/Ju6zuYV2bMUxSKuVsDFjyDl/nsCJEwu14AO433sv/iNGkLl3LxEvvVRqTuQKQhX9UsSWksLFp59B5mQT/PLLRdL8JYQgYNw4XKpVI+LFF8nYu7fQn0PRhrRYuDj6WXLOXyBw4kRcK1Qokufxfeyx3C+Oc+aQvHZtkTyHUvyklES+9joZ23fg99RTmBs3LpLn8XzgAbx79SLll1+J+3ROkTyHM1NFv5S49IFtuXiRoImTbjgdrzDoXFwIfvFF9D4+XBw1muwLF4rsuZTiIaUkctqrZO7cid8zz2Bu1KjInksIQeBzz+FSvToRL79C+u4CjctVHFT8F1+QvGoVXl27FvksDZ+BAzG3akXc3LkkrfmxSJ/L2aiiX0pEvvYambt34z98OG4NGxb58+m9vQl++WWwWLj49DPY0tKK/DmVohP/xRck//gjXt264dWhQ5E/nzAaCX7pJQy+voSNfpbssLAif06l6KRs2EDshx/h1qwZvk88UeTPJ4QgcOxYXGvUIHLaNDL27Ln1g0oJVfRLgZTf15O8eg1eXbvi2b59sT2vS7lyBE6ahCUsjKgZbxbb8yqFK/PYMWI//gS3Jk3wHTy42J5X7+lJ0CuvIHNyiJg0GWm33/pBisOxxsUR+fIrGMuXJ3DChGKbjimMRoLyWhzDJ03GnpFRLM/r6FTRL+GsiYlEvv46xvLl8X388WJ/frcGDfDs3JmUn34i9e+/i/35lbtzqeDq3N0JGDu22OfPu5Qti98TT5C1fz8JS78q1udW7p6UkoiXX8GemUnghAm3vfBXYdF7ehLw7LNYo6KImvlOsT63o1JFv4SLmvYq9tRUAsaNu6OFLwqD7+OPYwgJIfLlV7ClpGiSQbkzsZ/OIef0afyHDy/QSnuFyePhhzHVr0/sRx+RffasJhmUO5P844+k//MPPv36Fek4optxq18fzw4dSF6xgrQtWzXJ4EhU0S/Bkn/5ldQ//sC7Z09cK1fWLIfOxYWAsWOxJSYS9cYbmuVQCibz0CHiv/wSc6tWuLdooVkOIQQBY8aAwUDElClIm02zLMrts0THEP3W27hUrYp39+6aZvF94gkMQUFEvvhiqR9fpIp+CWWNjydq+nSMFSvi07ev1nEw1aiBV7dupPy6jpQ//tA6jnIL9pwcwidPQeflif/w4VrHweDvj9/QoWQdOkz8okVax1FuQUqZO08+Ozu3lVHjS+DqXF3xHzsWa2ws0W+9rWkWramiXwJd7kfLyCDguec0/4W7xHfAAIzlyhE17VWsiYlax1FuIvajj7GcO0fAyFHoPTy0jgOAxwMP4Na4MbGzPyXr9Gmt4yg3kbRyJRlbtuA9YEChLuB0N9xq18azUyeS16wh7Z/NWsfRjCr6JVDq+g2k//033r17F9kCKndCGI25zfzJyUS/PVPrOMoNZP73HwlLluB+//2YmzXTOs5lQgj8R49G5+JC5NQX1WprDsqakEDMO+/iUr063t26aR3nKr6DBuWOL5o2DXtWltZxNKGKfgljz8kh+t13MYSE4NOrl9ZxruNatSqejzxCyi+/kHn4sNZxlGtIKYmePh2d2YzfU09pHec6Bl9ffAYOJOvQIVJ+Xad1HCUfMR98iD0zk4DRox3uaok6Fxf8hw3DGhND/OcLtY6jCcf6H1HuWsKixVgjI3OvK+0gzfrX8hkwAJ27O1Ez3lRnaw4mdeNGMvfuw7tPH81G69+K58MPYyxXjphZ72HPztY6jnKFrOMnSF69Go+HHtJstP6tuDVogFvTpsR/+SWW6Bit4xQ7VfRLEGtcHHELFmBq0ABzkyZax7khvbs7Pv36kXXgACm//aZ1HCWPPSeH6HdyW4m8OnXSOs4NCb0evyefxBodQ/zCL7SOo+SRUhI1YwY6Nzd8H3tM6zg35Tt0KNJmI+a9d7WOUuxU0S9BYj74AJmd7ZDNstfyfOQRjKFliXlvljpbcxAJS5ZgjYjAb+hQhMGgdZybcmvYELfGjYn/4gssMaXvbM0RpW36k8zdux26legSl5CQ3G7GX9eRcfCg1nGKlcMXfSHEIiFEjBAi3w5gIUQ7IUSyEGJ/3u3V4s7oCDKPHSP5x5/wbN8el3LltI5zS0Kvx3fok1ijooj/Uk3B0po1IYG4+Qsw1a+PuWlTrePcFt8nn0RaLMTMel/rKKWezMkh+p13MJQJxqtzZ63j3Bbf/v3ReXoSPWNGqepmdPiiDywBbnVJpn+llI3ybtOLIZNDkVISPWMGOrMZn4EDtY5z28yNG2Nq2JD4hQuxxsZqHadUi/ngA2RWllO0El3iUrasGhTqIOK/WoYlLAy/oU86fCvRJTqzGZ/+/ck6dJiUX37VOk6xcfiiL6XcDCTc7XGEEPJGt0KIqSlnGHx1I35PPYXMziZana1pJvP4cZJXr3HowVc34tu/vxoUqjFrYiLx8+ZhqlsXNydpJbrk/weFzio1U/gcvujfppZCiANCiN+EEHW1DlOcpM1GzPsfYChTxqEHX92IS2gong8/TMrPP6sFVzQS894shBMMvsqP7opBoWl//aV1nFIpbu487BkZ+D71FEIIreMUiNDr8X3ySawxMSQs+1rrOMWiJBT9vUBFKWVD4FPgx/x2klKKG92KM2xhS167FsuFC/gMGOA0zWrX8unXD+HiQuzHH2sdpdTJ2L+fjC1b8OrSxelaiS7x7NABfUAAsR9/os72i5k1NpakH37A3LIlrhUrah3njpgbNsS1dm3iv/yyVFx+1+mLvpQyRUqZlvf3dYBRCBGgcaxiIa1W4uZ8hrFcOdxbtdI6zh3Te3vj+fDDpP2xiazjJ7SOU6rEfvQxOnd3vB99VOsod0wYDPj07k32iROkbtigdZxSJfazz5BWKz4DBmgd5a74PPYY9qQk4pcu1TpKkXP6oi+EKCPy2pSEEM3JfU3x2qYqHklr1mAJD889yy/kla/sUhKVbuVkUs5Vt3MpFnJshX825d27N8LVldiPPyr0Yyv5S9+zh4wdO/Dq1g2dm5vWce6Kx4MPYggKIvaT2Ui7Xes4pYIlKoqkVatxb90al7JlC/34Sdm26z5/TiXlkJZT+P+/brVrY6pXj4TFi7GlpRf68R2Jw7cHCyG+A9oBAUKIMOA1wAggpZwP9AFGCSGsQCYwQJaCNj5psRD32VyMFStivvfeuzpWjk2yLzaLbVFZnEm2cC7VwsVUK1k3KO46AWXdDVTyNFDRy0iTQBOtQ0x4u975CoB6T088O3Yk5ccfyTx6FLc6de74WMrtif3gQ3Sennh17ap1lLsm9Hq8+/Ujfs4cUtb9hnfXLlpHKvFiP50DdvtdzxiSUnIq2cL/IjL5LzGH86lWzqVYSL5Jcfc36ajoaaSip5E6fi60CXWjgqfxrnL4PPYYUS+9RMKiLwkcN+6ujuXIRCmoj7d0aQS/M/1bJHz7HdHTpxM0deodXRQlKdvGHxcz2ByeydaoTNItEoOACp5GKuYV84qeBnyuKeRZVsmFNAvnU6ycT7VwNsVChlWiF9AowJU2oW60L2+mirdLgTPZ0tMJGzUKc5MmVPiidK6LXVzStm3j4pNP4TNoED49emgdp1BIm43w8eMRRiNVf1vnsMtQlwSW8HBOdXgE9zZtCHz22YI/3i75X0Qm/4Rnsjkig8h0GwBlzHoq5X32VPQ0Emw2oLti1JXNLonIsHE+xcL5VAvnUqzEZeU+tpKngTahZtqFunFvGRO6OxhUGPXmm+ScPEm1v/5E7+VV4Mdr5dIAytsZo6aKPs5X9O05OZx6qD16Tw9C3n2vQCNmTyTm8PXxFH4+m06WTVLGrKdNWTfahJppUcaEu7Fg3QQ2u+RgfDabwzPZHJHJ0YQcAFqWMTG4lhdtyrqh191+vsTvvyd55Uoq/vA95oYNC5RFuT1SSs71H0DOhQuU++wzdK6uWkcqNGn//kvcJ58QMnMmPj17aB2nxAqfMoWUdb9Rbs4cDAG3P4QqMcvGilOpfHcilagMG2aDoGWIW+5nUFk3yrgXvPH5fKqFf/M+f3ZEZZJjhwqeBgbV9KJnFQ88XG7/My37zBkip0zBf9gwgiY+X+AsWlFFv4CcrejHL11KzMx3CHr5ZcyNG99yfyklf4dnsvRYCjuis3DVCx6t7E7/6p7U8XMp1Gk2MRlW1pxJ47sTqURn2CjvYeCxmp4MqO6JyXDrXz57ZiZhI0diqlePikuXFFou5f+l/fsvF4cNx3foULxLQNP+laTdTsTzz4OUVF3/u9POaHFk2efOcaZzFzweeoiAESNu6zFnknP48mgKv5xNI8eee1LweE0v7i/rhou+8D5/Mq12/ryYwdfHU9kfl43ZIOhV1YOhtb0J9bi990L0zJlkHT1KtT83YfD1LbRsRUkV/QJypqJvz87m1IMPoffzI+Ttt29ZsI8lZPPOnkR2RmcR4q7nsRpe9K7mge9d9L/fDotdsuliBl//l8Ke2GxC3PVMbORL50rut8yctHIlSd9/T8Vvv3HoCwc5Iykl5/r0xRIRQbm5cxHGu+sHdUTp27cT+/77lJkxHd++fbWOU+KEPz+RlI0bKTd37i2LYmKWjTkHk/jhZCouOsGjVTx4vKYn1X0K3v1XUIfisvn6eAq/nU9HJwRDa3sxrK73LVszsy9cIHLiRPyGDiX4hSlFnrMwqKJfQM5U9BO++YboGW8S9MormBs1uuF+MRlWPjmQxJrTaXi76hjTwId+1T0xFqCpvbDsjMrknT2JHEvMoWGAK1Ob+tIo0HTD/e1ZWYSNGIGpYUMqLvqyGJOWfGlbt3Hxqafwe+opp1kjvaCklERMmABCUPX331TffiHKCQvndIcOeLZvj//w4Tfezyb59ngK8w4nk2ax06+6J2Mb+OBnKv7/i4h0Kx/tS+SXc+kEmPSMb+RDjyoeN+12jH73XbKOHKH63385Rd9+QYq+00/ZK02k1Ur8wi9wqVIZtxv0d0sp+eFEKp3WhvPz2TSG1PZiffdQHq/ppUnBB2hexo0VnUJ4q6U/4WlWBq6PYtr2ONIt+Y/O1ZlMeHbqRMbWrWQeO1bMaUu2uM8+Q+flhUf79lpHKTJCCLx798Zy8SIpv/2udZwSJW7ePMj7972Rg3HZ9Pg1nHf3JlLf34Ufu5Tlteb+mhR8yJ1pNOu+QL7vGEKoh4FXtscz4PdITifn3PAxPn37IjMySFhS8ubtq6LvRJLXrsUaFYV3n775NpHHZdoY9XcMr++Mp0GAK2u7hvJCUz+8XLQ/09HrBL2qevJ791CequPFqlNp9Pw1gn2x+a937dWtG8JkIu6zz4o5acmVsW8/mXv24NW1KzqXom9e1ZJ7q1YYgoOJmz/fKVrwnIElJobktWtxv+8+DP7+12232iWfHUzisfWRZFkl89oFsfDB4GJpyr8dDQNc+e6RMsxqHUBYupXe6yL55nhKvu8P1ypVMNWvT8LXX5e4VfpU0XcS0m4nbsHnGEND852it+liBo/+Es62yExebObHlw8FU8nL8fpr3Y06Jjfx46sOZbBLGLQhik/2J2KxX/2Lp3d3x7N9e9I2/Un2mbMapS1Z4j77DGE2O+U1GgpK6PV49+hBzqlTpP3zj9ZxSoT4hV+A1YpPnz7XbTuXYuHxDZHMOZhE54ru/Ni1LO3KmR1uLX4hBF0re/BTl7I0Dzbx5q4Ehv8ZTUyG9bp9vfv1w56SQsK332mQtOioou8kUjdsxHL+PN69el21+p7FLpmxM54x/8RQxmxgVeeyPFHL647mqBanZkEmfuxSlu6VPZh/OJnH10cSfc0vnnePHmAw5DYpKncl8/hx0v/3P7w6dnT61fdul0e7duh9fYn7bK7WUZyeLSmJpBUrMDdvjjEk5Kpt686l03tdBOdSrHxwXyDv3RfoEK2LNxNkNrDggSCm3ePH7phsHv0lgi2RmVft41a7Ni41apCweDH2nBt3BTgbVfSdgJSSuHnzMAQF4X7ffZfvT8y2MWxTNN+eSOXJ2l583zGEag7SlHY7PFx0vN0qgE/aBHI62UKfdZEciMu+vF3v44NHu3akrFuHJSJCw6TOL/6zuQhXV7y6ddM6SrERRiNejz5K1qFDpO/cqXUcpxa/eAkyKwvvK2ZD2KXk4/2JTPxfLLV8XfipS1k6V3LXMGXBCCF4rKYXqzuXJcisZ8Sf0Sz77+rmfp8+fbDFx5O0arWGSQuXKvpOIP3ff8k+fhyv7t0vj0Q+mZRDv98i2RebxTutApjS1K9Q57sWpw4V3Pm+YwhuBsETGyJZeybt8jafXr1ASuIWLNAwoXPLPneO1I0b8XjoIae9kt6d8uzQAZ2nJ3Fz1NiQO2VLSyfxm28wNWqEa6VKAKRb7IzbHMuCw8n0rurB4vZl7mhhHUdQ2dvId4+E0C7Ujbd3JzBte/zl64u4NW6MsWJF4hcuRFqv7wJwRqroO4HYufPQ+/ri+eCDAPwVlsGA33MHy3zVIYTuVTw0Tnj3qvu48EOnEBoFmnhhaxyz9iZgs0sMgYG4t25N8pofscaXiusoFbr4efNBr8e7Z0+toxQ7nasrXl26kLFzJ5mHD2sdxyklfvsN9rQ0fPLO8sPTLDy2PpK/wjJ4qZkfM1r4O+0JxyXuRh2z2wYxop43q06n8dQfUcRn2RBC4NOnD9aICFJ+/VXrmIVCFX0Hl75nD1n79+PZtSvCaGTVqVTG/BNDZS8jKzqF0DCg5Cyh6uuq54uHghlQw5NFR1N4YWscFrvEu0+f3AsMLfxC64hOxxIdTfIvv+Depo3TrC5W2Lw6d0aYzcTOmaN1FKdjz84mYclSXGvXxlSzJieSchi4PoqoDBufPxjM4FpeDjdY707phGB8I18+uC+Qwwk5PL4+koh0K+Z778UQElJiZoKoou/g4ubOQ+fujtcjj7D0WDKvbI+nZRkTX3Vw3ua0mzHqBK819+f5xr78ei6dcf/EYA8Owa1pU5JXLMeWlnbrgyiXxS9cCFLic5N51SWdzmzGs3170v/ZTNaZM1rHcSpJq1ZjS0jAu3dvDsVl88SGKAC+7lCG1iElc0Bo50ruLG4fTEKWjUHrIzmXZsudCXL2HGl//aV1vLumir4DyzpxgowtW/B45BHmncjinT2JdKhgZm67YMy3sY69MxtW15tXm/vxT3gmI/+KwbVHb+zpGSR+/Y3W0ZyGLTmZpJWrckdcBwdrHUdT3t27g8FAvBobctukzUbCl19irFiRw8E1GPpHFJ4uOr7pUMZh5t4XlcaBJpY+XIZsm2TwhkjCG7TMnQky3/nfPyW7cji5+PkLEC4uLCl/H3MOJtGjijsf3Bfo9P1nt2tgDS/eaRXA7pgsRpx1R1+rNglffVWips8UpYRly3JHXJfis/xL9N7eeLRpQ8qv67BEx2gdxymkbNiAJTyc8HZdGP53LCHuBr7uUIbyd3ndemdR28+VZR3KYNQJhvwVR8oDncg6eJCMvXu1jnZXVNF3UJaICFLWr+dYvdYsPG9nUE1P3moZgEGjpXS18mgVDz5pE8SxxBzmVHwAW0JCiZo+U1TsWVkkfP0Npnr1cK1cWes4DsG7Vy+w2Yj/Qo0NuRUpJfHzF5DjH8Sw5EpU8zay7OEyBJtLXpfizVTxduHrDiH4uOoYZq+H3exO3Lz5Wse6Kw5f9IUQi4QQMUKIfIfeilyzhRCnhBAHhRAl4rJscQu/wC4lbwe04olaXrzUzM/hF9wpKg+VNzOnbRC/mSsT5l+OuC++QNpsWsdyaEkrV2JPSlJn+VcwBgdjbt6cpJUrsaWkaB3HoaVv3Ub28eMsrNCGan4mFrUPxlejtfO1FuphYNnDZfD0MLO6UivS//2XrFOntI51xxy+6ANLgI432d4JqJ53Gw44/fJttqQk4lat5s/QxrRrUJ6pTX1LzAjZO9Um1Mz79wexrEo7bOHhJPy2XutIDkvabMQvWoxL5cqY6tXTOo5D8e7dG5mZScKyr7WO4tDOfvIZia6enKzbgi8eDHb4FfaKWpDZwKL2wfxTqw3ZeiPnPnHedR8cvuhLKTcDCTfZpTvwlcy1HfARQoRcu5MQQt7oVlTZ79Smtz7FkJNNTNtOvNbcv9QX/Es6VHCnU+8HiXD3Z//7c8ixqrP9/KSs+w1rRATePXuq9841XKtUwVS3LolfL8OenX3rB5RCR/7eieHgXv6q3YbPO5QrtWf41wr1MDK7azX+qdwcy6aNnP/POa8J4vBF/zaEAhev+Dks7z6ntHLLSbzW/8TpCnWY/GjDm17zuTTqUc2LzAc7UjbqLO+/+x02u8N9Z9OUlJK4zz/HEByM+d57tY7jkLx69cKWmETSqlVaR3E4p2PT2D7zYzINrvQb1ougUtaHfyuVvYy0fbofQkp+fPl9olPyv0qoIysJRT+/qnhdJZBSihvdiiHjbdl8IpbNsxfjnZNO8yf7YVQFP18PDOhMttmTcutXMnPdMa3jOJT0LVvIOXkSr0cfvbxks3I1twYNMFasSMIXX6qxIVeITc1m4ifraHFhP6Z2D1Au2FvrSA6pZvVQbI2bcf/xLTw7/2/Ss51red6SUPTDgPJX/FwOcLqrsxyLTGHMsl30O70ZfeUqeNSrq3Ukh6VzdSWoS0fuiTnOn7/8j6Vbz2kdyWHEzV+Aztv78pLNyvWEEHj37Jk7Q+a337WO4xAyc2w889Vu2uzbgNDpKN+vl9aRHFrFgX1xs2ZTfft6xn63D6vNrnWk21YSiv5a4Im8UfwtgGQpZaTWoQoiKjmLp5bs4oHIg/inxePXp7fqi70Fr65dESYTz0Zt5Y2fj/DH0WitI2ku4+BBMnfvzl121lg65lLfKfeWLTEEBRH/+eclYmnVu2GzS577fh8XTl3kkQs78WjdGoOfn9axHJpr5cqY6tdn4PmtbDkcxus/H3Ga95HDF30hxHfANqCmECJMCPG0EGKkEGJk3i7rgDPAKWAhMFqjqHckLdvKU0t2kZKRw/ALf2MICcF8zz1ax3J4end3PB58kDrHd3K/ezZjv9vHobBkrWNpKn7ePITZjFenTlpHcXhCr8ere3eyT5wg/X//0zqOpt769Rgbjkbzrv0wOqtVTfO8Td59+mBMT+F1w2m+3n6Bhf86xxLPDl/0pZQDpZQhUkqjlLKclPJLKeV8KeX8vO1SSvmslLKqlLK+lHK31plvl9VmZ8y3ezkencrC6lnoLpzPHXGtc/j/Fofg3bMn6PW8mrwTP3cXnlq6i7DEDK1jaSLrzBnS/v4Hz/bt0ZnNWsdxCp4PPojOx8fpF1u5G0u2nGXRlrMMbxJIhX9/w61pU1xCnXYcdLEy1amDS9WqNNv6M93qBPL2uv9Yd8jxG5lVddHQu7//x9/HY5nRvR4hP3+H3s8PjzZttI7lNAy+vrjfdx85v69j8aOVybLYGLFsD5k5pW9wVvz8+WAw5K4xr9wWYTTi1bkzmXv3krF/v9Zxit3/TsYx/ZejtK8dzDNxe5AZGXj36aN1LKchhMC7d2+sMTG8Zg6jSQUfnl++n6MRjr3wkyr6GvlxXzgL/z3LEy0r0l0XTdahQ3h164YwqCkyBeHdqxdYrXitXc7sAY05GpnC1NUHnaZ/rTBYoqNJ+XUdHm3aoPdWI64LwqtTJ4TZXCIupFIQFxMyGPPdXqoFefBRz9okLVuGa506mKpV0zqaUzE3a4ahbFmSv1zIvEFN8HFzYfiy3SSkO+71QVTR18Dh8GReWHWQ5pX9mNa1DnHz5qPz8MCzQwetozkdl7JlcWvWjKTly2kT6sakDjX5aX+E0/SvFYb4zz8HKVVf7B3Qubnh+fDDpP/zD1mnT2sdp1hk5FgZ9tVu7HbJ54ObYfnlJ2yJier9cweETnf5srvmnVtZMLgpManZjPl2r8OO6FdFv5jFpWUz/Kvd+Lu7MPfxJlhPnSRj61Y8H3kEnaur1vGcknefPsiMDBKWfc3odlXpXL8M7/z2H5tPxGodrcjZkpJIWrUa8733YgwK0jqOU/J+9FGEwUB8KTjbl1IyecVBTkSn8uljTajoayL+iy9xqVQJtwYNtI7nlDzatEHv70/cgvk0LO/D2z3rs/V0PG+v+0/raPm6q6IvhCgrhOglhHhUCKHaFW/BYrMz+pu9xKfnsGBwMwI8XImfNx/h6opX165ax3NapqpVc5dWXfYVMieHWX0aUiPYk7Hf7eN8fLrW8YpU/NKl6vK5d0nv7Y1727akrFuHJSpK6zhFat4/p/n1UCRTOtaibY3A/1+yuVcvNU34DgmDAa+uXck6dJj0Xbvo07QcT7auxKItZ1m1J0zreNe5ZdEXQjwihDgshMgSQuwUQjTPu/8J4CSwAlgDnBdCqFEgNzFz3X/sPJvAO73rU7+cNzlhYaRu2IBHu3boPT21jufUvPOWVk1cvgJ3VwOfD24GUKIH9tnT00n85ltMDRrgWqmS1nGcmnevXiAlcQtK7tn+vydjmbX+OF0bhDCiTZXcJZsXLFBLNhcCzw4d0Hl6EvfZXABe6lybllX8eXHNIQ6HO9ZU4psWfSFEDeAnoA6QATQDfsm7fO3n5M6N/wRYCZiBr4UQNYs0sZP6/XAki7acZUjLivRsXA6AuDlzQKdTZ2mFwNSgAS5Vq5KwcCEyJ4cK/mY+GdCI/6JSeX3tEa3jFYmEr7/BnpKCT79+WkdxesagIMwtW5K8ajXWuDit4xS6qOQsxn+/n2qBHrzXpwFCCFI3bSLn1KncacJqyea7onN1xbNTJzK2byfj4EGMeh1zHmuMn9mFMd/uJSXLonXEy251pj8pb5+HpZR+QBvAC/gW+BtoJqV8XkrZH+gFuADjii6uczofn87kFQdpWM6bl7rUBsASHk7yz7/g0batWv2qEAgh8OnXD2tMDImrVgPQrmYQYx6oxg+7L7LSAZvZ7oY9M5P4xYtzR1zXqqV1nBLBp18/pMVC3ILPtY5SqKw2O2O/20tGjo15g5pgdjHknuV/Ogd9QAAe7dppHbFE8O7aFZ3ZTNzsTwHw93Dl08caczExk6mrHGdG0a2K/n3ABinlJgAp5f/IXQGvOvC6lPLy1xcp5S/AdqBd0UR1TlkWG6O/2YsQMOexJrgacr9Rx86dB4BP375axitR3Jo0waVSJeIXLEBact+a49tXp0UVP1758RDHo1I1Tlh4Er75FntSEj4DBmgdpcRwCQ3FfO+9JC1fjjXhZlfzdi7vbzjBrnOJvN2rHtWCcrsR0/75h+zjx3P78tU04UKhM5vx7NSJ9P/9j8wjua2L91TyY8ojNVl3KMphrhFyq6JfAbi2bfRE3p+H89l/f95jlDwzfjnKkYgUPujXiPJ+uSulWaKjSf7pJ9zvvx9DQIDGCUsOIQTe/fphjYoi6ccfATDodcwe0BgPVyOjv9njdFfEyo89O5uERYtwrVkTtzp1tI5Tovj074/MySF+4RdaRykUm45FM/+f0wxsXuFyt6KUktjZn6L398fzgQc0TliyeD36KMJkIvbTOZfvG3Z/FdrXDuKtdcfYdyFRw3S5blX0bfnskwkgpUzLZ/8kQF3pI89P+8P5ZscFRrSpwsN1gi/fHzd3Htjtqi+2CJjvuQdj+fLEz1+AtOYW+CAvE7MHNuJsXDovrTnkMM1sdyrx+++xJSSo908RcClfHrd77sn9N05K0jrOXQlLzOD55QeoE+LFa93+/8th+pYtZB89inePHurCTIVM7+6OZ8eOpP/9N1nHc8+PdTrB+30bEuRpYsy3+0jK0HbhnlsV/RigzDX3HQaW32D/UCD+bkOVBOfi0nlp9SGaVfRl0iP/P7bREhND8po1uLdureZVF4FLffu5YyZ+vnx/q6oBTGhfg5/2R7Bit/P279vzzkJdqlfDpOZVFwmf/v2RmZnEf7lI6yh3zGqzM+67fdjskrmPN8FkzO1WlFIS+8ls9L6+eLZvr3HKksm7e3eEqyuxn86+fJ+P2YXPHm9CTGoWU1Zq279/q6J/GGhy5R1SylVSyoE32L8uuSP6SzWLzc5z3+9DrxN8MrAxRv3//zPHL8g9A/Xp31/DhCWb+d57MYaGEjd3HtL2/9P1Rj9QjZZV/Hlt7RFOx+bXUOX4klaswBYXh0+//mpedRFxrVgRt6ZNSfz2G2wpjr2O+o3M/vMUey8k8VbPelQKcL98f/r27blLfnfvrs7yi4je0xPPDh1I2/QnWaf+vxw2Ku/DlEdqseFoNN/uvKBZvlsV/bVAlBDC5VYHEkLUI/cLwubCCObMPtx4ggNhybzTuwGhPm6X77fGx5O0YiXmFi0wlrm2AUUpLEKnw7tPHywXL5Kybt3l+/U6wUf9G+Fq1PHc9/vItjrX/H2Zk0P8gs9xqVIZt0aNtI5Tovn07489PYP4xYu1jlJgO88mMOfPk/RqEkr3RldfMS9u9qfovL3Vkt9F7FLXSdynn151/9P3Veb+6gHM+OUoJ6O1GVh806IvpVwspXxISnk7nRARQGPgg0JJ5qS2nopj/j+nGXBPeTrXD7lqW9zcuUiLRfXFFgP3Vq0whIQQ++mcy337AGW8TbzXuwGHw1P4YMOJmxzB8SSuWIE1Jkad5RcD1ypVMDVqROJXy7AlO9biKjeTnGFh/Pf7qOBnZnr3eldtS9u2jcx9+/Dq1g2dyy3P45S7oPf2xqN9e1I3bCTr5MnL9+t0gg/6NcTdxcDY7/aRZSn+E49CW3tfSpkgpTwgpUwqrGM6m4T0HMb/sJ/KAe682u3qUdWWiAgSf1iOuXVrXMqV0yhh6SH0enwGDMBy4QJJq1Zdta1D3TIMalGBzzefcZr1+e2ZmcR9NheXatVwa9pU6zilgu+gQdgzMi5Pr3V0Ukqmrj5ITGo2nwxojIer4aptMe+9h97XF6/OnTVMWXr49OmDcHUlZtb7V90f5Gni/b4N+S8qlXd+K/71+R3+gjtCiI5CiONCiFNCiKn5bG8nhEgWQuzPu72qRU4pJVNWHiQpw8LsAY0xu1w99zXmgw8B8Hv8cS3ilUrurVrhUrkysZ/OwZ6VddW2lzvXoXqQB88vP0BcWrZGCW9f/JeLsCUk4PvEE+osv5i4VqqEuUULkr77Dkt0tNZxbumHXRf57XAUEzvUpGF5n6u2pf7+O9nH/sOnb191ll9M9F5eeHXpQvrmzWTs3XvVtgdqBTG0VSWWbD3Hn/8V73vLoYu+EEIPfAZ0Incp4IFCiPwmJv8rpWyUd5terCHzfLfzIn8ci2ZKx5rUC7362kNZx0+Qsm4dng8/jCEwUIt4pZIQAt/Bg7HFxZGwZOlV29xc9Hz6WGNSsiwOtVpWfqyJicQvWoSpYUM1L7+Y+Q4ahLTZiPnwI62j3NTZuHTe+Pkorar6M6JNlau2SauVmA8/whASgsdDD2mUsHTy7tEDnZcX0e+8e91nzNROtagd4sXkFQeL9cTDoYs+0Bw4JaU8kzeu4Hug+50cSAghb3S725Dn4tKZ8ctR7qsWwFOtK1+3Pfq99xCurqovXwNuDRpgqleP+C++uG4kdq0yXrzQsRZ/HIth+e6LGiW8tbjP5iIzM/F94gmto5Q6xuBgPB96iJS1a8k6fVrrOPmy2uxM+GE/LgYdH/ZrhE53dUtQ4vIVWC5exPfxx9Ua+8VM5+aGd+/eZB08SNqff121zWTU83H/RqRmW3lxdfGtH+LoRT8UuPLTOCzvvmu1FEIcEEL8JoSoWzzRclltdiYs349RL5jVt8F1v3Dpu3aRsWULXo8+qq6kpxHfIUOwp6fn2zf7ZKtKtKrqzxs/H3XIy/DmjgX5AXPr1rhWrKh1nFLJp3//vL7ZWVpHydfcv0+z/2ISb/aoRxlv01XbcseCfIZL1arqSnoa8XrkEQxBQcS8//5VU4gBapbxZMojNdl4NLrY1g9x9KKfX+fltV+H9gIVpZQNgU+BH/M7kJRS3Oh2NwHn/3OafReSmNGjHiHebldtk1IS8+576Ly98e5+Rw0USiFwrVw5d031b7+9rm9WpxPM6tsQvU4wcfkBbHbHauaP+eBDkFKNBdGQ3ts7t2/273/I2LdP6zhXORiWxCebTvJow7J0a1j2uu3xixZji49XY0E0JAwGfAYMIOfsWZLX/Hjd9qdaV6ZlFX/e+PkIF+IzijyPoxf9MKD8FT+XI3dq4GVSypRLSwJLKdcBRiFEsSxofygsmY//OEm3hmWvmw8LkPrHH2QdPpw7eMbVtTgiKTfgO3gw0mYj9qPr+2ZDfdyY0b0eu88nsmCz4zThZp1QY0EchXePHug8PYl+9z2HGf+RmWNjwg/7CfRwZcY10/MAbElJJCz6MncsSN1ibQBVruF+330YK1YkdvZs7DlXz4DX6QTv92uITggmrthf5Ccejl70dwHVhRCV8xYIGkDugkGXCSHKiLyvsEKI5uS+piJfCjjLYmPC8v0EeLgyo/v1v1AyJ4eYWe9jCA7G8+GHizqOcgvG4GA8HnqI5LU/X14T+0rdG5WlS/0QPtp4gsPh2s/LllIS/fZMNRbEQVzum92/n9Q//tA6DgDv/v4fp2PTeb9vQ7zN16+uF/PJbOwZmfgOHqxBOuVKQqfDd9AgrDExJCy6fsGnUB833uhel13nEvl885kizeLQRV9KaQXGAOuBY8ByKeURIcRIIcTIvN36AIeFEAeA2cAAWQxfxd/7/TinYtKY1bcBPubrp8DELfwCy4UL+A4dqgbPOAjfgQPRubkR+corSLv9qm1CCN7sUQ9fswvPL9+vyaIZV0r9/Xcytm/Hu08fNRbEQXh17IihbFmiZ7yJPaPom2Fv5n8n41iy9RxPtq7EfdWvb9jMPHKEpB9+wKNdO1wrVSr+gMp1zI0bY2rYkLj587FERl63vWfjUDrXL8OHG49zNKLoln8ucNEXQgwRQvx5o58Lm5RynZSyhpSyqpTyrbz75ksp5+f9fY6Usq6UsqGUsoWUcmtRZblkx5l4Fm89y5CWFbm/+vXNrtkXLxK/YAFuTZrgfs89RR1HuU16T098H3+crEOHSFq58rrtvu4uvNenASei0/j4j5P5HKF42NLSiXrrbYzlyuHdrZtmOZSrCYMB/+HDscbEEPvJ7Fs/oIikZFmYsvIAVQLdeaFjreu2S7udyGmvonN3x3fIEA0SKjfiP2IE2GxEvv76dduEELzVoz7ebi5MXHGAHKv9+gMUgjs5068EtL3JzyVaeraVSSsPUNHPzAud8vmFk5Ko114HIfAfPrz4Ayo35dG+PS7VqxHz/vtYE6+/tnW7mkEMuKc8n28+zV6Nrn0d+9FH2OLj8R85UrUSORi3evVwv/9+Er7+mqwT2izj/OYvR4lKyeKDvg0vXz3vSonff0/20aP4Dh6M3sNDg4TKjRiDgvDu3Zv0fzaT+sem67b7ursws1d9jkWmMOfPojnxcOjmfUc087djhCVmMqtvw+tW3QNIXb+ejK1b8e7dG0NAsYwnVApA6HT4jxyFPS2d6Jnv5LvPy11qE+LtxqTlB8jMKd5m/sz//iPxu+9wb9sWU63rv1Qq2vN78kl0JhORr0wr9kF9f/4XzfLdYYxsW5XGFXyv226Njyf2gw9xrVkTjwceKNZsyu3x7t4dQ0gIUTNmYM/MvG77w3WC6dUklM/+Ps3BsKRCf35V9Avgfyfj+Hr7BZ5uXZl7Kvldt92enk7Um29hDA3F+9FHNUio3A7XihXx7NiRlLVrSd+9+7rtniYjs/o04ExcOrPWHy+2XNJuJ+rlV9C5u+OnmmUdlt7LC5/HHiPr4MF8u4mKSnKGhamrDlEz2JPn2lfPd5/ot97GnpWV20qkpug5JGE05nYTRUcTO/vTfPd5rWtdAjxcmLj8QKFfDVQV/dt0qR+taqA7kx6pme8+MR9/gi0uDr8RIxCG61sBFMfhO3Agel9foqZNQ1os121vVS2AJ1pWZPHWs+w4U+STQQBI/P4Hso4cwffxx9XgPQfn+fDDuFStSsys/LuJisLrPx8hIT2HD/o1xNVwfbN+2rZtpKxbh1fnzriUL5/PERRH4Va/PubWrUn46qurrsJ3ibfZyLu9G3AyJo2PNhZuM78q+rfpUj/a+zfoR8s4eJDEb77BvW1btT66E9C5ueH39NPknD1H3Pz5+e4ztVMtKviZmbTyAOnZ1nz3KSyWqChiP/wQlxo11ProTkDodPiPGoU9LY2o6TOK/PnWH4lizb5wnn2g2nXX9gCwZ2QQ9eqr6P398RkwoMjzKHfP/6mn0Lm6EvniS1dd/vuSohpfpIr+bfj7eMxN+9FsKSmEj3sOvbc3fkOHFn9A5Y64t2iB+d57iZs3n/SdO6/bbnYx8H7fhoQlZvLe70V3CUxptRI2dhzSYiHg2WdVs6yTcK1UCa/u3Un97TcSV6wosudJTM/h5TWHqVvWizEPVrtuu5SSyFemYQkLx3/UKLUQmJPQe3vj99RTZB0+fPkqrNe6PL5oxYFCm0asiv4tpGRZeHH1IaoHeeTbjyalJHzyFKwxMQROnKiaZZ1MwLPPYggIIHzC81gTEq7bfk8lP4a2qsTSbefZXkTN/DHvf0DWoUP4DxuGS2h+l5ZQHJXvgAG41qpJ9Iw3i2w0/xs/HyEpI4dZfRpi1F//kZ20YkVus36PHpgbNSqSDErR8GjXDve2bUlYvJjUv/++brunKbeZ/0xsOh/9UTjvL1X0b+HtX48RnZLFrL7596MlLF5C+j//4DNggBpt7YR0ZjOBkyZhS04mfMKE6xbtAZj8SE0q+puZsvIgGTmF28yf+uefJCxZgke7dni0a1eox1aKntDrCZw4CWEyETZmbKEv2rPhSBQ/7o9gzIPVqFPW67rtWcdPEP3mW7jWroWvatZ3Sv7Dh2MMDSViyhQsUVHXbb+vegADm5dn4eYz7CuEZn5V9G9i84lYvt91keFtqtKovM912zP27yfmgw8wNWqEd8+exR9QKRSuVargN2QIGTt2EvfZZ9dtN7sYeK93Ay4kZPDe74U3mt8SGUnEC1MxliuH37BhhXZcpXgZfH0JGDcOy8WLhTqNLykjh5d/PEztEC9Gt7u+Wd+enk7YmDEIk4nA5yeqNR2clM7VlcDJk5HZOYSNHZvvwOKXOtemjJeJySsP3nUzvyr6N5CaZWHqqoNUDXRnfD7N+rbkZMKfG4/ex4fA555T/bBOzrNjR8wtWhA3dx7p27dft/3eKv4MaVmRJVvPsfPs9d0ABSUtltx+/JwcAidPVv2wTs7cqBFePXqQsm4dSYXUvz/956Mkpucwq08DXAxXf1RLKYl4+RUsYWEEPPccBt/rxxopzsOlXDn8hw0j69BhYt7/4LrtniYjM3s34FRMGp9survR/Kro38DM3/4jKq9Z/9rR+vaMDC6MGIk1NpbA559X/fglgBAit38/MJCwcc+Refz6M/opHWtR3s+NKSvvbtEeabMRPuUFsg4fVv34JYjvgAG41q5F1Iw3Sftn810da9OxaFbvC2d0u6r5jtaPnf0pqb//jnevXpgbNryr51Icw6UuvoSlS0n49tvrtretEUj/ZuVZ8M9pDlxMuuPnuZOifw7YfJOfnd6WU3F8u+MCT99XmSbXjNa3paVzfuiTZB04QMDo0Zhq5j9nX3E+Ojc3gl5+GXSCC4OfIPPo0au2u7saeLd3A87FZ/D+hjtr5pdWK+HPTyT1t9/w7tNH9eOXIEKvJ2jyFIzBwVwcMybfgVm3IznTwktrchfhGfPg1a2MUkpiPviQ+HnzMLdura7AWML4DR+OqUEDoqfPIGHZ19dtf7lrbYI8TUxeeeeL9hS46Espl0opH7jRz84uPdvKC6sOUjnAnYkdri7otrQ0Ljw5lKzDhwkYO1Z9YJdALqGhlJk+A6HXc2HIUDIPH7lqe6uqAQxqUYFFW86y53zBBtVIq5XwCc+Tun493v36qYFXJZDey4syM2ZgDClD2JixpG4q+LXI3vr1KHFpOczqe3WzvpSSmPc/IH7hQtzvv5/AceNUP34Jo3NxIfjFFzE1bEj0W28Rv3TpVdu9TEZm9qrPieg0Pvvz1J09R2EELUlmrT9OeFIm7/VpcFWzvi01lQtDhpJ15CgB48bh0aaNhimVouRStizB06cjDAYuDB1K5qFDV22f2qk2Zb1zm/lvd1CNtFgIe248qRs34jNgAL7qDK3E0nt6UuaN6RhDQwkbN46UjRtv+7GbT8SyfHcYw9tUoUE5n8v3SymJefc9Er78Eve2bQkYO1YV/BJKGI0ET52KqVEjYma+Q/yixVdtf6BWEL2ahDL379MciUgu8PFV0b/CzrMJLNl6jiEtK121tn7m0aOce+wxso4dI3D8eDzuu0/DlEpxcAkJIXjGDISrKxeGPknSmjWXR2V7uBp4u1d9TsemM/s2BtXkhIVz4ZlnSNu0CZ/HHsOnT5+ijq9oTO/pSZnp03GpUIHw8ROIW7gw31HZV0rLtvLi6kNUDXTnuYf+v1nfmphIxOTJuVM7H3wwdwEnnfroLsmE0UjwCy/g1qQJMe+9R9Sbb2FPT7+8/dWudfAxuzB5xUEstoJdgtfh3zlCiI5CiONCiFNCiKn5bBdCiNl52w8KIZrc6XO9sOpg7kCtjrnN+rbUVCJfe51zvftgjYomcNIk3Fu1uotXozgTlzJlKDNjBoagICJffInzjz1+eZ3stjUC6du0HAs2n+FQWP7ftu05OcTOmcOZzp3J3Lcf36efxqdXr+J8CYqG9O7ulHn9dUz16hH7wYecebR7vis/XvLub/8RkZzJe31yBw9Lu52E77/n9COPkLLuN7wefRT/UaNUwS8lhNFI0JQpeDzwAIlff82pRzqSvG4dUkp8zC682aMeRyNTWPDP6YIdt7gvDVkQQgg9cAJ4GAgDdgEDpZRHr9inMzAW6AzcC3wipby3gM8jASq+8AvfPHMvLct5kLJuHTGzZmFLSsbjwQfVtalLMWm3k7phA0nffos9Oxvfxx8nYOQI0k2ePPzRP/i5u7B2zH2X+1+lxULali1Ev/kWlrAw3Jo2xX/YMHWp5VJKSknGjh0kLFqELSEBr86dCXz+eYyhZS9P9d1+Jp4Bn2/n6fsq80rnWmQePJi7yt+RI7hUr4b/iJG4Vqqk7QtRNJN57BgJCxZgCQvD3Lw5QS+/hKlGDcZ8t4+NR6I5+XZnAKSUt5w77uhFvyXwupTykbyfXwSQUs68Yp8FwN9Syu/yfj4OtJNSRl5zrFu+0FmTX8TdmoU9KwsAncmEISQEnZtbYb0kxYlJqxVrdDS25Nwze2F0wWoyEWsz4OlhwltasKen514jW0qE0YixTBl0akqnQu6XR1tMbN5yzxJhMKAzmxFmd8Iy7bhasvEXltz3j92O0OsxBAWhV3PwFQApscYnYI2Lvfz+wM2NWLuR1z94O2+XWxd9R7/+ayhw8Yqfw8g9m7/VPqFAJAVkx0qayYTw8EAYDAgXF7DZIC2toIdSSipvb6S7O9JiQVqtSKsVT5EN6dkkIxBGI8LNDQwGdC4uZAmh3j/K//NwR7qZLr9/sFqRqSl4AghIMxgQvr6g1yNcXXNbAtT7R7nE5IosWxaZk3P5/eMmcwp0CEcv+vl9a7n2jP129rnpN6BLrQCT331XraynFFhceAxDPt6Ivlx5Vo+5D0M+F0VRlPzsOZ/I4E//5Mka7kwa+mDuiYaiFIAtK4sX3n//tvd39E+nMKD8FT+XAyLuYJ/bogq+cicCQoMYPfhBDkamsvDfs1rHUZxElsXGlJUH8A3wZdSQ9qrgK3dEbzIVaP8CF30hhIcQYrAQ4kMhxJd5fw4WQhTFKLddQHUhRGUhhAswAFh7zT5rgSfyRvG3AJKv7c9XlKLWuX4ZOtYtw0d/nOBUjGqOVW7tk00nOR2bzsxe9fFwdfRGV6WkKNBAPiFEX2A+4MPVzeoSSAJGSClXFmK+S6PzPwb0wCIp5VtCiJEAUsr5Ivf0fA7QEcgAnpRS7i7gc8i84xVmdKWUiUnNosNHm6kS4M6Kka3Q61TLkZK/g2FJ9Jy7ld5NQnmvj1o7X7k7l1qpC3X0vhDiYeA3wA58A/wNRAFlgAeAx8j9ItBJSvnHHeTWjCr6SmFZsy+MCT8c4NWudXjqvspax1EcUI7VzqNz/kdiRg4bJrTF282odSTFyRVV0f8XaALcL6Xcm8/2ZuReeGe3lNKp1qhVRV8pLFJKnl66m62n41g/vg0V/d21jqQ4mI82nuCTTSf5ckgzHqodrHUcpQQoSNEvSJ9+Y+CH/Ap+3pPtBpaT+8VAUUolIQRv96yPUa9jysqD2O3qi6Ty/45GpPDZX6fo3qisKviKJgpS9LO59dz3iLz9FKXUKuNtYlqXOuw4m8DXO85rHUdxEBabnckrD+BjduH1bnW1jqOUUgUp+v8Ct7rSTGtym/gVpVTr26wcbWoE8s5v/3ExIUPrOIoDmP/3aY5EpPBmj3r4uqvpeYo2ClL0XwDqCyHeEUJc1VEphHAXQrwH1AOuuyiOopQ2Qgje6VUfnRCqmV/hv6gUZv95km4Ny9KxXhmt4yilWEEG8i0CqgD3A8nAXiAaCCa3H9+b3LP8a1cnkVLKpwsrcFFQA/mUovL9zgtMXX2IN3vUY1CLilrHUTRgtdnpOXcrEUmZbHy+LX7qLF8pZEU1er9gF+39f1JKqb/DxxYLVfSVoiKl5IlFO9l7PpH1E9pQztesdSSlmH321ylmrT/O3Meb0Ll+iNZxlBKoqIr+HZ+mSCkdejSTKvpKUQpLzOCRjzbTqIIPXz99r1ruuRQ5EZ1K19n/4+E6wXz2uJrYpBSNIin6JZkq+kpR+3bHBV5ac4gZPeoxWDXzlwoWm51ec7cSnpTJhgltCPBw1TqSUkIV1Tx9RVHu0MDm5bm/egAz1x3jQrwazV8azPv7NIfCk3mrRz1V8BWHoYq+ohQDIQTv9m6AXggmrTygRvOXcEcikpm96SSPNixLJ9WPrzgQVfQVpZiU9XHj1W512Hk2gcVbz2kdRykiOVY7E5cfwNfdhend1SI8imNRRV9RilGfpuV4qFYQ7/3+H6dj1SV4S6LZm07yX1QqM3vWx8espucpjkUVfUUpRkIIZvaqj8moZ9KKA1htdzoTVnFEBy4mMe+f0/RuUo72ddTa+orjUUVfUYpZkJeJ6d3rsu9CEgs2n9E6jlJIMnNsTFi+nyBPV17tVkfrOIqSL1X0FUUDjzYsS9cGIXy08QSHw5O1jqMUgnd+O8aZ2HTe79sQbzej1nEUJV8OW/SFEH5CiI1CiJN5f/reYL9zQohDQoj9QojdxZ1TUe6EEII3e9TD38OFCT/sJ8ti0zqSchf+ORHL0m3neap1ZVpXC9A6jqLckMMWfXIv3LNJSlkd2MTNL+TzgJSykZSyWfFEU5S752N2YVafhpyMSeO9349rHUe5Q0kZOUxecYBqQR5M6VhT6ziKclOOXPS7A0vz/r4U6HE3BxNCyBvd7jaootypNjUCGdKyIou2nGXLqTit4ygFJKXk5R8Pk5Cew8f9G2EyOvRlRhTFoYt+sJQyEiDvz6Ab7CeBDUKIPUKI4cWWTlEKydROtakS6M6kFQdIzrRoHUcpgLUHIvj1YCQTHq5BvVBvreMoyi1pWvSFEH8IIQ7nc+tegMO0llI2AToBzwoh2uS3k5RS3OhWKC9GUe6Qm4uej/s3IjY1m5fXHFLXgHASFxMyeOXHwzSp4MOINlW0jqMot8Wg5ZNLKdvfaJsQIloIESKljBRChAAxNzhGRN6fMUKINUBzYHORBFaUItKgnA8THq7BrPXHaVsjkL7NymsdSbkJq83O+B/2IyV83L8xBr0jN5oqyv9z5HfqWmBI3t+HAD9du4MQwl0I4Xnp70AH4HCxJVSUQjSybVVaVPHjtbVHOKNW63Nos/88xZ7zibzVsx4V/M1ax1GU2+bIRf8d4GEhxEng4byfEUKUFUKsy9snGPifEOIAsBP4VUr5uyZpFeUu6XWCj/o3wsWg47nv95NjVav1OaKdZxOY8+dJejUJpXujUK3jKEqBCNV/mDuyH1B9qYpDWH8kihHL9jCiTRVe7Fxb6zjKFZIzLHT6ZDMuBh2/jLsfD1dNe0gVBchd9wNyx67dal9HPtNXlFLpkbplePzeCizYfIZ/T8ZqHUfJI6XkxTUHiUnN5pMBjVXBV5ySKvqK4oBe6VKH6kEeTPjhADGpWVrHUYBvd15g3aEoJnaoScPyPlrHUZQ7ooq+ojggNxc9nz3ehLRsC+O+24fNrrqetHQ4PJk31h6lbY1ANT1PcWqq6CuKg6oR7MmbPeqz/UwCH/9xQus4pVZKloXR3+zFz92Fj/o3QqdTS3sozksVfUVxYH2alqN/s/J8+ucp/j6e71IVShGSUjJlxUEikjL57PHG+Lm7aB1JUe6KKvqK4uDe6F6XWmU8mfDDfiKSMrWOU6os3nKO349E8ULHWjSt6Kd1HEW5a6roK4qDMxn1zH28CTlWO2O/24fFpubvF4d9FxJ5e90xHq4TzDP3V9Y6jqIUClX0FcUJVAn04N0+DdhzPpEZvxzVOk6JF5Oaxaiv91LG28T7fRpengetKM5OTTRVFCfRtUFZDoYl8/nmM9Qt60X/eypoHalEyrHaGf31XpIyc1g9qjXeZqPWkRSl0KgzfUVxIlMeqcn91QOY9uMR9l5I1DpOifT6z0fYfT6RWX0aUqesl9ZxFKVQqaKvKE7EoNfx6cDGlPE2MXLZHqJT1MI9hembHef5dscFRrWrSreGZbWOoyiFThV9RXEyPmYXPn+iKWnZVkZ+vYdsq03rSCXC7nMJvL72CG1rBDKpQ02t4yhKkVBFX1GcUK0yXnzQtyH7LiTx4upD6mJRd+liQgYjv95LqI8bswc0Rq8W4FFKKFX0FcVJdaofwoT2NVi9N5zZm05pHcdpJWdaeHLJLnKsNr4Y0kwN3FNKNDV6X1Gc2LiHqnEhIYOP/jhBOV83ejctp3Ukp5JjtTNy2R7Ox6fz1VP3Ui3IU+tIilKkVNFXFCcmhGBmr/pEJmfywqqDhHibaFUtQOtYTkFKydRVB9l2Jp6P+jekZVV/rSMpSpFz2OZ9IURfIcQRIYRdCNHsJvt1FEIcF0KcEkJMLc6MiuIIXAw65g1qSpVAd0Z8vYeT0alaR3IKH/9xktX7wpn4cA16NlYtJErp4LBFHzgM9AI232gHIYQe+AzoBNQBBgoh6hRPPEVxHN5uRhYNvQeTUc/QxbsIV2v039S3Oy7wyaaT9G1ajjEPVtM6jqIUG4ct+lLKY1LK47fYrTlwSkp5RkqZA3wPdM9vRyGEvNGtsLMrihbK+ZpZPPQeUrIsDPpiBzGpag5/fn7cF87LPx7igZqBvN2rvlpiVylVHLbo36ZQ4OIVP4fl3acopVK9UG+WPHkP0SlZPPHlTpIycrSO5FDWH4li4ooDtKjsz7xBTTHqnf0jUFEKRtN3vBDiDyHE4Xxu+Z6t53eIfO7L98xdSiludLvzV6AojqdpRT8WPtGMM3HpDFm0k9Qsi9aRHMLmE7GM/XYfDcp5s3BIM0xGvdaRFKXYaVr0pZTtpZT18rn9dJuHCAPKX/FzOSCi8JMqinNpXS2AuY814UhECk8v2U1GjlXrSJracSae4ct2Uy3IgyVDm+PhqiYuKaWTs7dt7QKqCyEqCyFcgAHAWo0zKYpDaF8nmI/6N2L3+QSe+HInKaX0jH/ziViGLt5FqI8bXz3dXC2+o5RqDlv0hRA9hRBhQEvgVyHE+rz7ywoh1gFIKa3AGGA9cAxYLqU8olVmRXE03RqW5dOBTTgQlsTAz7cTn5atdaRi9fvhSJ5ZuptKAe58P7wlAR6uWkdSFE0JtWZ37sh+QK1frpRYfx2PYeSyPZTzdePrZ+4lxNtN60hFbuWeMKasPEDD8j4sGarO8JWS69IMlNsZo6aKPqroK6XDjjPxPL10N95uRr555l4qBbhrHanILN16jtfWHqF1NX8+H9wMd9WHr5RgqugXkCr6SmlxMCyJIYt2AjBvUFNaVClZS89abXbeWneMxVvO8XCdYD4d2FiN0ldKPFX0C0gVfaU0ORuXztNLd3EhPoM3utfl8Xsrah2pUCRnWhjz7V7+PRnH0FaVeKVLbQxqHr5SCqiiX0Cq6CulTUqWhbHf7uOfE7E80bIi07rWceqFak7HpjFs6W4uJmYwo3s9BjSvoHUkRSk2qugXkCr6Smlks0ve+e0YC/89S8sq/nw8oBHBXiatYxXYhrxV9lz0uRceal7ZT+tIilKsVNEvIFX0ldJs5Z4wXvnxECajnrd71qdz/RCtI92WtGwrM34+yg+7L1Iv1Iv5g5pSztesdSxFKXaq6BeQKvpKaXc6No3nf9jPgbBkejUJ5fVH6+JlctwpbnvOJzDhhwOEJWYwsm1VxrevgYvBebsnFOVuqKJfQKroKwpYbHY+/fMUn/11ijJeJmb0qMsDNYMc6ip0adlWPv3zJAs3n6Gsjxsf9W/EPZVUc75SuqmiX0Cq6CvK/9t7IZFJKw5wJjad+6sH8EqXOtQs46lpJptdsmL3Rd7fcIK4tGz6NSvHtK518HTg1ghFKS6q6BeQKvqKcrUcq52vt5/nk00nSc2yMKB5BSa0r0GgZ/EuYyulZOvpeN789RjHIlNoWtGXaV3r0Ki8T7HmUBRHpop+Aamiryj5S8rI4eM/TvL19vPodILuDcsypFUl6oV6F+nzZltt/HowkiVbz3EwLJlQHzde7FyLLvVDHKq7QVEcgSr6BaSKvqLc3JnYNBZtOcuqPeFkWmzcU8mXwS0r8WCtoEK9TO25uHRW7wvn2x3niUvLoWqgO0NbVaJvs/JqZT1FuQFV9AtIFX1FuT3JmRZW7L7I0m3nuJiQiVEvaF7ZjwdqBtGuZiBVAz0KdCaeZbGx82wCfx2P4e/jsZyNS0cIeLBmEENbV+K+agHqzF5RbkEV/QJSRV9RCsZml+w8m8DfecX6eHQqAGYXPRX93akcYKaSvztBnq5XFe0cq50LCRmci0/nbFw6EUmZ2CW4GnS0rOrPAzWDeLBWEOX91Hx7RbldqugXkCr6inJ3wpMy2XwilhPRqZyLS+dcfAYXEzKw2q//nfI0Gagc4E4lf3cqBbjTuLwPLav6q+Z7RblDJaLoCyH6Aq8DtYHmUsrdN9jvHJAK2ACrlLLZHTyXKvqKUsgsNjupWdar7tPrBF4mg2qyV5RCVJCi78gXmT4M9AIW3Ma+D0gp44o4j6IoBWDU6/Bzd9E6hqIoV3DYoi+lPAaoMwJFURRFKSQlYbFqCWwQQuwRQgy/0U5CCHmjWzFmVRRFURTNaHqmL4T4AyiTz6aXpZQ/3eZhWkspI4QQQcBGIcR/UsrNhZdSURRFUUoGTYu+lLJ9IRwjIu/PGCHEGqA5cF3Rv9kAB3W2ryiKopQGTt28L4RwF0J4Xvo70IHcAYCKoiiKolzDYQfyCSF6Ap8CgcCvQoj9UspHhBBlgS+klJ2BYGBN3mA/A/CtlPL3u3jOQkiuKIqiKI7JYefpFyfVvK8oiqI4O2efp1/s1BcgRVEUxdkUpJXaqfv0FUVRFEW5faroK4qiKEopoYq+oiiKopQSDl30hRDlhRB/CSGOCSGOCCGey2cfIYSYLYQ4JYQ4KIRookVWRVEURXF0jj6QzwpMlFLuzZuPv0cIsVFKefSKfToB1fNu9wLz8v5UFEVRFOUKDl30pZSRQGTe31OFEMeAUODKot8d+ErmDr3fLoTwEUKE5D32MjUtz3lJq5Ws48exREYh09OwZWRiT08DwKVCBVwqVsKlfDl0ZrPGSRXF+UgpscXFkXPxIjlnzmKNjUW4uaFzN6Nzd0fn4YGpZk2MwcFaR1UKgUMX/SsJISoBjYEd12wKBS5e8XNY3n2RKE5JWiykbd1Kxo6dZO7bR9bRo8js7Fs+Tu/nh/meZnh27Ihn27bqS4Ci3EDOhQuk/PYbqX9sIvvkSWRW1i0fYwgKxNSwIeYmTfBo2w7XKpWLIalS2JxicR4hhAfwD/CWlHL1Ndt+BWZKKf+X9/MmYIqUck8Bji9BzdPXmiUigsRvviVp9WpsiYmg02EsXx7XGjUw1a6NsWzZ3DMQV1eEyQR2O9aYGCwREbm3sDCyDh3Cnp6OcHHB3Lw53j164NWpI0Kv1/rlKYqmrHFxJCz7mtSNG8k5cwYg9/erdm2MZcpgLFsWY0gIel9fpMWCPSsLmZWFLT2d7JMnyf7vP3JOnsSWlASAqWFD/B4biGenTuhcXDR8Zcqlefq3sziPwxd9IYQR+AVYL6X8MJ/tC4C/pZTf5f18HGh3bfP+LZ5DFX0Npe/cSdz8BWRs2waAqX59PB95BLeGDdGZTAU6lrTZyDpyhPRt28jcvRtbYiLGCuUJGDUK727dEAanadxSlEJhiYkhbv4CkleuRFosuFSrhvnee3Fv2fKOmuytsbGk/fMPqX/8gS0uDp2XF949ehAwaiQGX98ieAXKrZSYoi9yX8lSIEFKOf4G+3QBxgCdyR3AN1tK2byAz6OKvgZywsKJfvtt0v78E52XFx4PPIBXx44YAgML5fjSZiN961aSV67AEh6BMTQ0t/j36onQOfTEFUW5a9bYWGLnzCFp9Rqw2TC3aIFPv364lCtXKMeXdjuZ+/eT+vvvZO7bh85sJuDZ0fgNHowwGgvlOZTbU5KK/n3Av8AhwJ5390tABQAp5fy8LwZzgI5ABvCklHJ3AZ9HFf1iZE9PJ27uPOK/+goBeD36KN69eqFzdS2S55N2Oxk7dpC0fDmWixcxNWpE2Xdm4lqpUpE8n6JoSUpJ8qrVRL/zDvaMDNzvuw+ffv0wlilTZM+ZfeECCV9+QfaRoxgrlCf4pZfxbNe2yJ5PuVqJKfrFRRX94pO+axcREydhjYnB3KIFfkOHYggIKJbnllKStnEjCcuWgc1GwNix+D/1pOrvV0oMS1QUES++RMa2bbhUrUrA2LGFdmZ/K1JKMnbtInHJEqwxMXi2b0/IzLfRe3oWy/OXZqroF5Aq+kVP2mzEzZ1L3Lz56P39CRg7Frc6dTTJYo2PJ27uXLIOHMBUty5l35+Fa2U1EllxbonLlxP9zrtgteLTvz9eXbtq8oVWWiwkrVpF8urVGIKDCf3kY8wNGhR7jtJEFf0CUkW/aFljYwkbP4HMPXsw33svAc8+q/l0OiklaX//TeLixSAEZT/8AM+2qjlScT4yJ4fI198gefVqXGvWwH/MWFxCQrSOReaRI8R9/DG2lBQCx4/H/5mnC3Q1OOX2qaJfQKroF5303bsJGzMWmZ6O79CheHbo4FC/+JboaGJmzsQSHk7ghPH4DxvmUPkU5Was8fFcHDWarIMH8eraFd/Bgx2qu8qWmkrcp5+SuXcv7vfdR7lPPkbn7q51rBJHFf0CUkW/aKT8/jsRU6ag9/ElcOpUXCtU0DpSvuyZmcR+8gmZu3fj2akTZd+ZWWSDChWlsGQeOULYqFFYE5MIGDECj3bttI6ULyklyWvXkvT117jWqEGFL78otnE8pYUq+gWkin7hi1+ylJh338WlcmWCX3kFvZeX1pFuSkpJ0g8/kLxyJa516lBx0ZfofXy0jqUo+Ur980/Cx09A5+5O4AsvYKpWTetIt5S+YwdxH3+MPiCACou+VONoCpEq+gWkin7hkXY7Me++S8LSrzA1akTQ5MlOddacvnUrsbNn41KxIhW/WorB31/rSIpyleR164iYPAVjaChlXn3Vqb6cZh0/TszMmaDTUX7BAsyNG2kdqURQRb+AVNEvHNJuJ2LKC6T88gseDz6I/4gRDtW/eLsy9u4ldtYsDGXKUPHrrzEGB2kdSVEASFqzhsiXX8ltQXv1VfRO2D+eExFB9PTp2FNSKPfZHDzuv1/rSE5PFf0CUkX/7km7nYgXXyLlp5/w6tkT38cec+oBcZmHDhHzzjvo/f2o+NVXxTbXWVFuJOHb74ieMQPXmjUJfvlldG5uWke6Y7akJKJeew1rbCzlP1+Ae4sWWkdyaqroF5Aq+ndHSknktGkkr1yFV/fu+A4a5NQF/5Ks48eJfutNdO4eVPz2G1zLl9c6klJKxS9dSszMdzDVr0/Q1KlO1WV2I7bkZCJfeQVbYiLlF36O+z33aB3JaRWk6KsFyJW7IqUkavoMkleuwrNz5xJT8AFMNWtS5vU3kOnpXBgyBGtcnNaRlFIoac2a3ILfqBHBL71UIgo+gN7bmzLTp6P39ubi8BFk7NuvdaRSQRV95Y5JKYmeOZOk777D85FH8HvyyRJT8C9xrVKFoJdewhYXz/khQ7GlpGgdSSlFUjf9SeQr03CtVZOgKVNK3IVsDL6+lJk+HZ2HBxefeZrMQ4e0jlTiqaKv3LH4L74g8atleDz4IH7PPFPiCv4lplq1CJw4kZxz57jwzDDsWVlaR1JKgfSduwifMAFjaCjBL71cYq9Zb/D3J2T6dITJjQvPDCP7wgWtI5VoqugrdyT5l1+J/eBD3Jo1w3/kyBJb8C8xN21KwOjRZB06lLvCoMWidSSlBMs8doywUSPR+/pS5rXXNF+2uqgZAgMJnjYNrFYuPvU01sRErSOVWKroKwWWvmsXES++iEvVqgROmFBqrk3v0bYtvkOHkv6//xHx8stq4KdSJCyRkVx86mmE0YXg115D7+2tdaRi4VKuHIFTpmCJiuLi8BHYs7O1jlQilY5Pa6XQZJ85S9joZzH4+uZOGyohg4pul3eXLnh1707K2p+JX7hQ6zhKCWNPT8/tQsrMJGjaNIxBpWuNCLe6dS+3qIU/PxFpt2sdqcRRRV+5bdb4eC48/TQAQdOmOfzSukXF9/HHcWvWjNiPPib1j01ax1FKCGm3EzbheXLOnCFw/HhcK1bUOpImPNq0weexx0jbtInome9oHafEcfiiL4RYJISIEUIcvsH2dkKIZCHE/rzbq8WdsTSQFgsXR43GGhdH0NSpDnHpTq0InY7ACRMwVqhA+KRJZB4/rnUkpQSImfU+6Zs34zNoEOZmzbSOoynvnj3xaN+exGXLSFyxUus4JYrDF31gCdDxFvv8K6VslHebXgyZSp3I6TPIOniQgBEjMNWsqXUczelcXQl+6SWEqythw0dgjY/XOpLixJJWryZh8WI82rXD+9FHtY6jOSEE/sOG4Vq7FlHTp5Nx4IDWkUoMhy/6UsrNQMLdHkcIIW90K4SYJVrC99+TvGIFnp07O+zlO7Vg8PcnaOpUrAkJXBw5EpmTo3UkxQll7NtH5Kuv4VqrVqmYCXO7hF5P0OQp6L28CBv9rFocq5A4fNG/TS2FEAeEEL8JIepqHaYkydi3j+g338K1Th38hgzROo7DMVWvTsCoUWQdOkzUW29rHUdxMtb4eMLGjEXv40PQCy8gDAatIzkUvZcXQS+8gD0lhYujRqsv1oWgJBT9vUBFKWVD4FPgx/x2klKKG92KM6wzscTE/P8H0uTJTnnFvOLg0aYNnh07kvTDDyT/+JPWcRQnIa1WwsaNw5aSQtCUKeg9PbWO5JBcq1TBf+RIsg4dInK66r29W05f9KWUKVLKtLy/rwOMQogAjWM5PWmxEPbss9hTUwl64QX1gXQLfkOH4lK9GpGvvUbW8RNax1GcQMz7H5C5Zy/+Tz+Na5UqWsdxaB5t2+LZpQvJK1eR+MMPWsdxak7fliSEKANESymlEKI5uV9k1KiquxQ9axZZhw4TMGYMrpUrF+tzSylJzLYTn2UjMctGYradhGwbWVaJVYLNLrHJ3P3MRh1mg8DdqMNs0BHopqeMWU+Amx5dMfaNCoOBoCkvEDFxImHPPkvlH9eg9/AotudXnEvK+g0kLFmCR7t2eLZvr3Ucp+D3xBPknDlD9FtvY2rUCDc1oPiOOPyldYUQ3wHtgAAgGngNMAJIKecLIcYAowArkAk8L6XcWsDnUJfWvULqH5sIGzMGjwcfJGD06CJ7Hikl4elWDsXncDwxh/OpFs6nWLmQZiHdcnf/F0YdBLkZKO9poIaPCzV8jNTwcaGajxE3Q9E1cGUePkz09Om4t2lD+Xlz1aAs5TrZZ89ytncfDEGBhLw9s8SuqV8UbElJhD//PHpvLyqv+RG9h7vWkRxCQS6t6/BFvzioov//csLCONujJ3o/X0LeebdQP5Csdsmh+Gy2RmZxIC6bw/HZJGbnrrilExDqbqCip4GKXkYqeBoJMOnxM+nwddXj66rD3ahDL0CvE+gFSAlZNkm6xU6GNffPmEwbkelWojJsRKVbOZti4VSyhSxb7v+tXkAdPxeaBploGuRK00ATvqbCHauQtGYNSd98Q+DEiQQMe6ZQj604N3t2Nmd79cYaFUXIrFmlbsW9wpB58CDRM2bg2eFhQj/+WH2xRhX9AlNFP5fMyeHsgAHknDlLyKxZhbIAT3SGlT/DMtgSmcXOqExSLRIBVPMxUt/flXr+LtT3d6WGjwsu+qL55bXZJRfTrJxIyuFoQg57YrI4GJdNTt4Kn3X9XHignJl2oW7U8XO56w8RKSUxM2eSeeAAFb/7FnODBoXwKpSSIGLaNJJXrCRo6tRSvwDP3Uj84QeSV6wg+NVp+D32mNZxNKeKfgGpop8r8o3pJH33HQETJuDRuvUdHyc6w8qGCxmsP5/O3thsJFDWXU+rEDdah7hxbxkTvq7azgTIsUkOx2ezMzqLzRGZ7M/LGWzW81A5M10ru9MowPWOvwDYUlOJmDgR4epKlZ/Xqv59hZTffiN8wvN4duqEf95y1sqdkXY70dOnk3X8OJW++w63eqV7prYq+gWkij6k/PEH4WPG4vHwwwSMGFHgx2fb7Gy4kMHKU2nsjM693nwNHyOPVHDnkYpmqngZHboZLj7LxubwDP4My+TfiEyybZIKngYerexBt8ruVPA0FviYmUeOEP3GG3g+9BChsz9x6NevFK3ssDDOde+BITCQkJkzEcaCv5+Uq9mSk4mYOBGduztV1v6Ezr309u+rol9Apb3oW6JjONO1K3pfH8q++16BPpBOJOWw4mQqP59NJznHTnkPAz2qeNCpojuVvZ3zgy0tx86Gi+msPZPOzugsJNAqxMSgml60KeuGXnf7xTtx+XKSly8n+LXX8Bs4oOhCKw5LWiyc7T+AnDNnCHn/fVzKlNE6UomReegQ0dOn49W1C6GzZmkdRzOq6BdQaS760mbj/BNPkHXoMCHvvYdLuXK3foyU/C8yk8VHU9gWlYVRBw+Xd6dvdQ+aB5uKdapcUYtMt/LjmTR+OJlKdIaNUHcDA2t40ruaBz630UUh7XaiXn+dnFOnqLRyBaYaNYohteJIot95l4QlSwh47jk87r9f6zglTsKyZaT89BNl33u31F63QBX9AirNRT/2s7nEffopfsOH49Whw033zbFJfj2XxuJjKZxMshDopmdwTU/6VPMs9BHwjsZil/x5MYNvjqewKyYbs0EwoIYnQ2t7Eeh28+UurImJRDz/PIYAfyr/+CM6V9diSq1oLW3LFi4+/QzubdsSOHas1nFKJGm1EvnSS1iioqi89idcb+PEpaRRRb+ASmvRz9i/n/OPD8KtSROCpky5YZ+zxS756Uwa8w4lEZFuo4aPkSdre9O5knuRjbh3ZMcTc1h4JJnfzqdjENC7midP1/Em1OPGxT9jzx5iZs7EZ+AAQl57rRjTKlqxJiZypms3hNFI2Q8+UF/2ilBOVBSRkybhWrUqlX74vtRdw0AV/QIqjUXflpbGmW6PIrOzKfvRR+jzGQRjtUt+OZvO3ENJXEyzUt/fhWcb+NCmrJsalAacS7HwxZFk1p5NA6B/dU9G1vfB/watHnGff07ahg2Umz8PT3W1whJNSsnFkaNI/9//CHn7bVyrVtU6UomX9vffxM2Zg/+wZwiaOFHrOMVKFf0CKo1FP3ziJFLWrSP49ddxq3v1dBcpJf+EZzJrbyJnUizU9nVhbEMf2oWqYp+fyHQr8w4lsfp0Gq56wVN1vBla2wt349Ur/9lzcoicPAl7egZV1v2Kwc9Po8RKUUv47nui33gDn8cew6dXL63jlBoxH39MxpYtVFi6FPfm92gdp9iool9Apa3oJ//yKxGTJuHVowd+gwZdte14Yg7v7klgW1QWlTwNPN/Yl/blzarY34YzyTl8ciCJDRcy8DfpGNfQl95VPa4a7Z997hyRU6dibnEvFRYuVP+uJVD2mbOc7dkTlypVKPPGGwid01/XzGnYMzMJnzABoddT5ddfSs36GKroF1BpKvqWqCjOdO32//OF8/q+ErNsfLQ/kVWn0/A06ni2gQ8DanhiLMD0NCXXwbhs3tuTwJ7YbOr6ufDyPX40DjRd3p70008kLVtG8Msv4zd40E2OpDgbmZPD2T59sYSHU/bDDzH4+2sdqdTJ+u8/oqZNw6tTJ0I//EDrOMWiIEVffQUtRaTdTvjEScicHAImTEAYDNilZMXJVDqtDWfN6TQG1/Ti9+6hDK7lpQr+HWoQ4MqyDmWY1TqA2Ewbj62PYurWWGIzrQB4d+uGqV49YmbNIuv0aY3TKoUp5uOPyT5xAv8RI1TB14ipVi28evQgZd06kn/+Res4Dked6VN6zvTjFn5B7Acf4PfMM3h17MjxxBze2BnPvthsmga58lpzf6r7qCt+FaZ0i535h5NYeiwFN4OOyU1ym/xtSUlEjB+PMTSUyqtWqhXaSoD0Xbu48MQQ3O+/n8Bx47SOU6pJq5XIF1/EGhtLlV9+xljCF0RSzfsFVBqKfubx45zr3QdTvXr4TH2RuYdSWHQ0GS+X3ELUo4qH6l8uQmeTLby6I47dMdncG2zijRb+BBzaReyHH+L/9NMETZ6kdUTlLtjS0jjTtRvSaiX0o4/QublpHanUy4mIIHLyZEz16lFx2VclemyFat5XrmLPziZi/AR0ZjOxj4+gz29RLDySTPcqHvz6aCg9q3qqgl/EKnsbWfpwGd6415+jCdl0/yWCb73r4nbffcQvWkT67t1aR1TuQtQb07FGRxMwbpwq+A7CpWxZfJ94gsw9e4j/cpHWcRyGKvqlQMz7H5Bz9iz/PvIEA7amk26x8/mDQbzVMkDzq92VJjoh6Ffdk1+6hXJ/WTc+3JfIC1UeRfr6ETF5Cra0dK0jKncg5ff1pPz8M17duuFWp47WcZQreHbogFvjxsTOnk3W8RNax3EIDl/0hRCLhBAxQojDN9guhBCzhRCnhBAHhRBNijujI0vbto2Er7/m3xqteNNSiV5VPVjbNZT7y5q1jlZqBZkNfNo2iPdbB3Asy8Ar9QdgiYwiavobWkdTCsgaG0vkq69irFAB34EDtY6jXEMIQcCYMehMJsKffx57To7WkTTn8EUfWAJ0vMn2TkD1vNtwYF4xZHIKluQUTk6YTKTZn6UNH+XzB4OY0SIATxdn+G8v+bpU9mBt17K41anN8uoPkLL2Zy7++KvWsZTbJKUkfMoL2DMzCZwwQQ3GdFB6b2/8R40i5/RpYj/4UOs4mnP4T38p5WYg4Sa7dAe+krm2Az5CiJBrdxJCyBvdiiq7lmJSslg9dDzG5ET+7DSUFd0rq7N7BxRsNrDwwWAqDBrAae9Qwl97nc07/tM6lnIbEr/+hoxt2/B97DFcypfXOo5yE+7Nm+Peti0JX31F+s6dWsfRlMMX/dsQCly84uewvPtKrb+Ox/Dq87NpcGwbkW0783L/e0v8VfCcmRCCgXX9qDjxOcyWLM5MeYmZvx4lx2rXOppyA9lnzhLz/vuY6tbFq0sXreMot8H/mWfQ+/sTMWkytrQ0reNopiQU/fyGnV939i6lFDe6FUPGYmG12Xnv9/+YOPcPntn1A/YKFWk9cpAame8kqtWpgu/AgdwbfYwLy76j74JtXIjP0DqWcg1psRA+cSLo9QQ891yJngpWkujc3AgcPx5rbCxRr72udRzNlIR3axhwZdtaOSBCoyyaiU7J4rEvdjDvr5O8d3IN7nYL5Z6fUOouMens/Lt3w7VOHcYcXUv6mbN0+fRf/jgarXUs5Qqxcz4j+9gx/IcPVxdNcjKmWrXwevRRUn79leR167SOo4mSUPTXAk/kjeJvASRLKSO1DlWctp6Ko8vsfzkUlsyXnmcIPXMY30GDcClXTutoSgEJnY7A555DbzAw59RqKvu68sxXu3l//XFs9hI5/MSpZOzfT/zChZhbtcLjvvu0jqPcAd+BAzFWqkjUa69jiY7ROk6xc/iiL4T4DtgG1BRChAkhnhZCjBRCjMzbZR1wBjgFLARGaxS12Ekp+eLfMwz6cgc+Zhd+7FKGssu/xFS/Pl6dO2sdT7lDBn9//J95Bnn8GAvs++nfrDxz/jrF0MU7SUhXU460Ys/IIGLiJPQ+PgSMGKF1HOUOCYOBwPETkFlZREyZXKJXYs2PWoYX51yGNzPHxgurDrL2QAQd65ZhVs86xAzohzUqirIffYTB11friMpdivngAzJ27KDit9+wNsePV9ceIcDdhc+faEa9UG+t45U6ES+9RPKaHwmeNg23Bg20jqPcpeRffyVx8WKCpk7Ff+gQrePcFbUMbwl3MSGDXvO28vPBCCY/UpN5g5qQMWc2OadO4T9ypCr4JYT/yJHofXyIeH4i/er6s2pkKwD6zN/KzwdK3bAVTaVs2EDy6jV4du6sCn4J4dW5M6b69Yn98EOyTp3SOk6xUUXfyWw/E8+jc/5HeGIGi4bew7MPVCNj1y4Sli7FvU0b3Fu00DqiUkj07u4EjB2LJTKSyOkzqF/Om5/G3Ee9st6M/W4fs9b/h1318xc5a2wska9Mw1ihPH6DBmkdRykkQggCxo1DuLgQPn4CspSs1qeKvhNZvusig7/cgZ+7C2vH3McDNYOwpaQQMWky+oAA/IcN0zqiUsjc6tfHq2tXUn76iZTffyfQ05Vvh7VgwD3l+eyv0wxftpvULIvWMUssKSXhkyfnrbr3vFp1r4Qx+PriP2IEOadOEVNKVutTRd8J2OySt9cdY8qqg7So4s/q0a2pFOCOlJLIl17GGhdH4Pjx6upeJZTvY49hrFCByGmvYomOwcWgY2av+rzxaF3+Oh5L3/nbCE/K1DpmiZSw9Csytu/InQ2jVt0rkdxbtsSjXTsSvvqKtC1btY5T5FTRd3Bp2VaGf7WbzzefYUjLiiweeg/ebrlnG8krV5H6xx949+6NqWZNjZMqRUUYjQQ+/zwyK4vwyZOQdjtCCIa0qsSSJ+8hPDGT7nO2cOBiktZRS5SskyeJ/fADTA0aqNkwJZzfM89gCA4iYsoUrImJWscpUrcs+kIIPyHEJ0KIA0KIPUKIN4UQ+Q4dFkK8JoSwFn7M0ik6JYt+87fx94lYZnSvyxvd62HQ5/6XZZ87R9Rbb+FaowY+ffponFQpai7lyuE7eDCZO3cR/+WXl++/v3ogq0e3wmTU0f/zbfx+uFQtUVFk7NnZhI97DuFqInDcOLWqZQmnM5kInPA8tqQkIl6Y6lQzuQrqpkVfCOEBbAHGAPWBxsBLwAEhRNMbPaxQE5ZS/0Wl0OOzLZyPT+fLIc0Y3LLS5W3SYiF8wvOg0xH4/PMIvVpXvzTw7NQJtyZNiP34EzIPHbp8f/VgT9aMbk3tEC9GfbOXzzefLtEfWsUh6s23yDl7loAxY9D7+GgdRykGrlWr4tO/P+mbN5P43XdaxykytzrTnwzUJHcBnNZAc2ABucvebspbAU8pZFtOxdF33jbsUrJ8ZEva1Qy6anvMRx/9/zKgAQEapVSKmxCCgLFj0Xt5Ef7ceGxp6Ze3BXq68t2wFnSuH8Lb6/7jjZ+PqhX87lDK7+tJXrECz06dMDe90bmNUhJ59+iBa906xLzzbomdxnerot+T3JXuekopt0kpd0spR+XdbwB+E0LcU9QhS5NVe8IYsmgnZX3cWDO6NXXLXt2TkrZlCwmLl+B+//1qGdBSSO/pScBzz+VO45s27aptJqOeTwc0Ztj9lVmy9RzPfrOXLItNo6TOyRIZSeQrr2CsWBG/J57QOo5SzIROR+D4CbnT+MY9hz0rS+tIhe5WRb8qsF5KeVU/vZRyLdAh7/G/CyGaFFG+UkNKydy/TzFxxQHureLHilEtKetz9Wh8a2wsERMnYShTBn+1DGip5VavHt49e5L6228krVp11TadTvBylzpM61qH9UejGPTFDpIySsf847slrVbCnhuPtFgInDhRTc8rpQy+vgSMGUPOmTNETZ+udZxCd6uibwXyvfCwlHIr0BEwAuuFEA0LOVupYbdL3vj5KO/9fpxHG5Zl8dDmeJmu/sCRNhth4ydgS08ncNIkdCaTRmkVR+DTvz+uNWoQNeNNss+evW770/dV5tOBjTkYlkzveVsJS1SX6L2V2E/nkHXwIH5PP41L2bJax1E0ZG7WDM8uXUhevYbktWu1jlOoblX0LwB1brRRSrkN6AKYgI1A3cKLVjpkW22M+34fS7ae46nWlfm4fyNcDNf/t8TO+YzMPXvwGzoU14oVNUiqOBKh1+eejer1hI0dl28zZNcGZfnq6ebEpGbTZ942TkanapDUOaRt2UL8559jbtUKzwcf1DqO4gD8Bg/GpWpVIl97nexz57SOU2huVfR3Ag8IIW646ouU8l+gO+AO9C7EbCVeWraVp5bs4peDkbzYqRbTutZGp7t+8kP69u3Ez5+PuUULPDt00CCp4ogM/v4EjB1LzqlTRL72er77tKjiz/IRLbFJSd8F29h7oWTPQb4TluhowvO6zQJGjdI6juIghMFA0KRJCCEIGzcOewlZpvdWRf8XwAO46SWIpJR/kju4r2T8qxSDxPQcHl+4ne1nEni/b0NGtK2a71xga0JC7gdSUBABzz6r5gsrVzE3a4ZX9+6k/PQTiStW5LtP7RAvVo1shbebkccX7uCfE7HFnNJxSYuFsDFjkZmZBE2Zola1VK5iCAzEf/Rock6cJPrNt7SOUyhuVfR/BmoDt+zUkFJuABoCqm3sFqKSs+i3YBvHolJZMKgpfZqWy3c/abUSNnYstuRkAidOVB9ISr58H3sM19q1iJ7xJpnHjuW7TwV/MytGtqRSgDvPLN3FWnWVPgCi35tF1qFD+A8bppbZVfLl3qIFnp06kbR8OUlrftQ6zl27adGXUlqllMellLf1CSGlPCGl/KdwouUSQnQUQhwXQpwSQkzNZ3s7IUSyEGJ/3u3Vwnz+wnYuLp0+87cSmZzF0ieb075O8A33jX73PTL37MX/mWdwrVKlGFMqzkTo9QRNnIRwcyN8zFhsafmOvSXI08QPI1rQuIIvz32/j+92XijmpI4l5fffSVy2DI+HHsKjXTut4ygOzG/IEFyrVyfqtddu+MXaWTj02vtCCD3wGdCJ3AGFA4UQ+Q0s/FdK2Sjv5rBzLP6LSqHP/G2kZ1v5dti9tKzqf8N9k3/++fIHkmf79sWYUnFGeh8fAsePxxIZScTkKTdckc/LZGTpk81pWyOQF1cf4ot/zxRzUseQfe4ckS+/jLFSRfyfeUbrOIqDEwYDgVOmIMxmwkY/iy05WetId8yhiz65KwCeklKekVLmAN+TO2iwwIQQ8ka3Qk18AwcuJtF/wXYMOsGKkS1pUM7nhvtmHT9B5LRXcalaVX0gKbfNrX59fAYMIO2vv4ibM+fG+7no+XxwM7rUD+HNX4/x4cYTpWrZXltaGheHjwAEQZOnqPn4ym0x+PoSNGkS1pgYwsaPR9qcc+ErRy/6ocDFK34Oy7vvWi3zLgj0mxDC4aYN7jybwONf7MDLzcCKkS2pFuR5w31tKSmEjR6NcHEh6IUX1AeSUiDePXtibtWKuM/mkrJ+ww33czHomD2wMf2alWP2ppPM+OVYqSj80mYj7LnxWMLCCHz+eYzBN+5eU5RrmWrVwnfIEDK2bSf244+1jnNHDFoHuIX8hqpf+8m0F6gopUwTQnQGfgSqX/cgKW847L0oz/Y3n4hl+LLdhPq48c0zLSjjfeNFdS4twGOJjCT41Vcx+PkVVSylhBJCEPDss0RFRBDxwgu4VKqEqWaNfPfV6wTv9GqAh6uRRVvOkmW18Wb3evlOGy0pYt7/gIwtW/AdOhS3hmo9MaXgvDp1IufkSeIXfoGpTh28OnXSOlKBOPqZfhi5F/e5pBxw1aBCKWWKlDIt7+/rAKMQwiGuQrPhSBTPLN1NJX93fhjR8qYFHyBqxptkbN2K75AhuNWrV0wplZJG5+pK0IsvIlxduThixE2vD67TCaZ1rc2zD1Tl2x0XmLTyAFabvRjTFp/kH38iYfFiPNq1w6tLF63jKE5KCIH/qFG4VKlCxAtTyThwQOtIBeLoRX8XUF0IUVkI4QIM4Jrpg0KIMiJv8roQojm5rym+2JNe49eDkYz+Zi+1Qzz5fngLAjxcb7p//JKlJH3/PZ4dO+KtPpCUu2Tw9ydoyhSscXGEjX4WabHccF8hBJMfqcXEh2uwem84z/2wH0sJK/yZhw4R+eqruFavjv+IEWq9C+Wu6FxcCH7pJXSenoSNHEVOeLjWkW6bQxf9vAv9jAHWA8eA5VLKI0KIkUKIkXm79QEOCyEOALOBAVLjzsmf9ocz9ru9NCrvw9fP3IuP2eWm+6du+pOYd9/F1KgRfk8+WUwplZLOVLMm/sOGkblvHxFTX7xln/3Yh6rzUudal7+wZludc6DStbIvXuTi8BHoPDwImjpVjZNRCoXex4egl1/GnpnJxWeG3XCqrKMRpWHwzq1c6tMvjH+LlXvCmLzyAM0r+bFo6D24u9582ETm0aOcf+xxDEFBhLz1llqARyl0id9+S/Lq1fg99STBU6bccv+lW8/x2tojPFAzkHmDmmIy6oshZdGwJiZyrm8/rAkJlHnzTVwrVNA6klLCZOzbR8zMmZib30OFL75AGIp/qNyllqubjV27pMBn+kKIIUKIP2/0c2n23c4LTF55gNZVA1jyZPNbFvyc8PDcMxCTieCXX1YFXykSPgMH4t6uHQmLFhO/ZOkt9x/SqhIze9Xnr+OxDF+2hyyLc57x2zMyuPD001iiowl64QVV8JUiYW7cGL+nniJj+w4ip73q8LNg7qR5vxLQ9iY/l0rLtp/nxdWHaFsjkC+GNMPN5eZnR9bYWC4MfgJ7ejpBL72Ewf/GC/Uoyt0QQhAwahSmRo2Iefddkn/99ZaPGdi8Au/1bsC/J2N5ZuluMnOcq/BLi4WLz44h+9h/BI4bh1tdh5vJq5QgXh074tWtG8lr1hA9c6ZDF36H7tN3Fl9tO8e0Hw/zUK0gFgy+dXOoLSmJ808MwRoXR9CLL6oldpUiJ/R6giZPvjziOH379ls+pt895Xm/T0O2no7jqSW7yMixFkPSuyftdiJeepmMbdvwffJJ3Fu21DqSUgr4PvEEHg89ROJXy4id/anWcW5IFf27tGTLWV796Qjtawczd1ATXA23KPhpaZwf+iQ5Fy8SOHkybnXyW1VYUQqfztWV4FdewRAYyMWRo0jfufOWj+ndtBwf9W/EjrPxDF28i/Rsxy780m4nctqrpPz8M149euDdubPWkZRSQgiB/4gRmFu3Jn7ePOK++FLrSPlSRf8ufPm/s7z+81E61Alm7uO3Lvj2rCwuPP0M2SdOEDh+PObGjYspqaLk0nt6Umb6dPQ+PlwcPuK2zvi7NwrlkwGN2XM+kScduPBLu53Il18medUqvLp2xffxx7WOpJQy4v/au+/wqKr8j+PvMy29d3oVQYr0Xu3IWrAgKEWxIJa1rXV3dXUt664/wd4WUFTs2LCCCkiRDqHXENIgvUySqef3xwQ2xgAZSDKTzPf1PPOEmblz7zcZZj73nHvuuQaD53BSv37k/uc/FCz4wNcl/YGE/il6a/l+nvh6OxeelczL1/bBYjrxn9JVWsrBaddTuWUL8TNnEjZoUCNVKsTvmWJiSH7iCYwxMRy6ZQZlK1ed9DV/6tWCWRPOZn26fwa/drvJeughihd+TuQllxAzdaqciy98wnPVy3sJ7tGdw48/Tv78+b4u6Xck9E/BW8v3889FO7ioezIvTuqN2XjiP6MzP5+0SZM8gX/bbXIZT+FzppgYUp54AmNcHBkzZlC2YsVJX/OnXi2YfY3/Bb92u8l64EFKvviSyMsuI2byZAl84VPKbCbxwYcI7tWLI08+xZHZL/jN4D4JfS/999cDxwL/hYknD3x7RgZpV0/AkXaQxPvvl8AXfsMYHU3KE09gSojn0IxbKf7qq5O+ZlzP/wX/tLlrKPNx8LsrKsi47XbPMfzLLyf2uusk8IVfMAQFkfTgg4QOGUL+q6+S8/gTaLfvZ7qU0PfCnF8PHOvSr0vgV+7ZQ9qEa3AWFpD4178S2q9fI1UqRN0Yo6JIfuKfWNq2Jesv95P70ksnbZGM69mCF67pzYb0Im7wYYvfmZtL2sRJlP3yC9HXXkusHMMXfkaZTCTcdRcRF1xA0YIFZN573wmnxG4MEvp1NHfFAR7/ejsXnJVUpy79kh9+4OA116AdDpL/8bicJyz8ljEykpQnniB08GDyXnqZrPv+gttuP+FrLu6Z8r+ufh+czlexaxcHrrgC+/79JNx7L9GXX96o2xeirpTBQOyNNxJ11VWUfvstaZOn4MzN9Vk9Evp18PbKNP5RNUr/xYl9Thj42unk8L+eJfPOP2OMTyDlmWcIat++EasVwnvKbCbhnnuIuuIKShYt4uDkKTgLCk74mnE9W/D8hLNZl1bQqOfxly75iYPXTMRtd5D0+OMyKFb4PaUUMRMmEDdzJrZt29h/6WVY1671SS0S+icxf/VBHv1yG+d1S+KlSScepe/Mz+fg1KnHLt+Z8vTTmBMTG7FaIU6dUoqYiROJv/12KrdtY//Yiyn96cQzbF/SyxP8aw4UMH1ew87c566sJPvRx8i47TZM8fG0+Ne/CO7UqcG2J0R9ixgzhuSnnkKZTKRPu578OXMafYCf1xfcUUpNBaZprUfXdr8pOt4Fd97/LZ2HF6ZybtdEXrm27wkDv3TJT2Q/+iiu4mLipk8n4txzG7ZoIRqQLS2NvOefx5GZSdQV40l+5BEMoaHHXf7zjZnc89EmBneM479T+9f7RXoqtm4l8557caSnE3H++cRMnYoh6MSXqxbCX7mtVnJnz6ZiwwbCRo4k5fHHMSedegPRmwvuyFX2qD30P1ybzgOfpjLmzERePcFMe46cHLIf+wfWX37BlJJCwl13EdSxY+MULkQD0g4HBfPnU/rtt5hbtqTFs/8itE+f4y7/6foM7vtkM8M6xfPmlH71EvzabifvjTfIe/U1DBHhxN92u0xqJZoFrTXFCxdS9PHHngF/d95J7JTJKKP3nxsJfS/VDP2P1x3i/k+3MKJzwnHn0tdOJ/lz55H38svgchE5fjzRl10m1+oWzU7Fli3kvfgirsJCwkePIuG++wg+zo7tR+sO8cCnWxh5huezc7JZKo9Hu90Uf/EFubNfwJmTQ0j//sTPnIkxIuI0fhMh/I89O5uC116jcts2gs44g+R/PkFoz55erUNC30vVQ/+zDRnc+/HxWyuuMitFH31IwTvzcebkENyjB7G33IIlOdkntQvRGNwVFRR//jklX3+NttuJvORPJN59N+Za/t9/sCadBz87eS9ZbbTWlP38M0f+8xz2/fsxt25NzHXXEdKnj5x/L5otrTXWX3+lYO5c3CUlhA4ZQtxNNxI2aFCd/t83q9BXSl0IzAaMwFta62dqPK+qnh8LlOMZX7DBy21ogM83ZnD3h7Ufl3RkZZE/722KP/0Ut9WKpVMnosaPJ7R/f/kyEgHDVVxM0UcfUbpkCWhN2LChRF92OeHnjMFgsRxb7r3fDvLIwq2eC1HVYZpqR3Y2RQs/p/jLL3GkpWFMSCBm4kTChg1DGWS8sQgMbquVos8/p+zHH3GXlWHp3Jm4G24g8uKxv/t81dRsQl8pZQR2A+cBGcBaYKLWenu1ZcYCd+AJ/YHAbK31QC+3owHaP/g1A9rHMnfaAIJcdqxr1mBdugzrypXY09JAKUL69iXq8ssJ7tKlfn5JIZogx5EjlHz+OdbVq3GXlGAICyPi3HMJGzaM4LO6YWnblvlrDvH3L7Zx4Vl/nK7aVWalctdOKlO3Uvr9d1Rs2gxaY+nYgfAx5xAxZowcKhMBy22zUfbzz5R8/TXOnByUxUJI796EDRtGxKiRWDp1+l1jszmF/mDgMa31BVX3HwLQWj9dbZnXgV+01guq7u8CRmmts2us66S/6LN33UeYcoPTiXY6AQ1KYQgOxhAWhiEyEnWCvS0hAo7WuK1WXMXFuMvK4Oj3SdXnxmYwUe5wYzEaCLcYwO3GXWlDO/43+Y8ymzFGRmKIipLPlxDVVX2+3GVluK3W/83mZzCgTCaUyQwmEzP/9UzV4icPfVODFnz6WgKHqt3PwNOaP9kyLYFsvKSDTFgNCgwhKKMRZTZ7voSO7lFpDTabt6sVonkzmyE+HuLiPDvLVTvN2ukEtxujwYhda4rcGqNSEB7u+cIym1AmExgMns+YfL6E+COzGWJiPDeXC7fN5vmMuTW43Thd3s2N4e+hX9teS80We12WOeEe0NFegPufefp4iwghTsNrS/fxzLc7uezsFjx39dkYDTIORojTUVrpYMqcNaRmFAPP1vl1/j5CJgNoXe1+KyDrFJYRQvjQjJEd+csFXfh8Uxb3f7IFl9t/DysK4e/KbE6mzV3LloxiXpp0/LkzauN1S18pFQ5cDvQGooBiYCOwUGtd5u36TmIt0Fkp1R7IBK4BJtVY5kvgdqXUB3i6/otrHs8XQvjebaM74XRpnl+8G6MBnhnfE4O0+IXwSrndyQ1z17LpUBEvXNObC7t7d7q4V6GvlLoKeA2I5vfd6hqYpZS6RWv9iVcVnIDW2qmUuh34Hs8pe3O01tuUUjOqnn8N+AbPyP29eE7Zu76+ti+EqF9/PrczLq15YckejAbFk5f1kOAXoo4q7C5umLeWdQcLmHVNby7umeL1Ouo8el8pdR7wLeAG3gN+AXKAZGA0nha4Ai7SWi/2uhIfOt7c+0KI+qe15j8/7OLln/dx7cA2/POy7jLXhRAnUWF3Mf3ttazen8//XX02l/Vueey5BjllTym1HOgDDK9t8hulVD9gGbBOaz2iTiv1ExL6QjQurTX/+m4Xry3dx5TBbfnHJWdJ8AtxHJUOFze9s45f9+bx3FW9GN+n1e+e9yb0vene7w18eLzZ7rTW65RSHwFXerFOIUQAUkrxwIVdcGvNG8v2Y1CKR//UTYJfiBoqHS5unr+eX/fm8e8r/xj43vIm9G2c/Nz3rKrlhBDihJRSPHTRmbjdmrd+PYBS8PdxEvxCHGVzurj13fUs253Ls1f05Mq+pxf44F3oLweGnWSZoXi6+IUQ4qSUUjxycVfcGuasOIBBKf56cVcJfhHwbE4XM+av5+dduTw9vgdX92998hfVgTeh/wCwSin1DPCE1tp69AmlVBjwKNAdGFIvlQkhAoJSir+N64pba/776wEMCh4eK8EvApenhb/hWOBPHNCm3tbtzUC+OUAHYDiec/M3AIeBJDwD/KLwtPIP1Hip1lpPr6+CG4IM5BPC97TWPPblNt5edZCbR3TgoYvOlOAXAedo4P+08whPXd6DSQNPHvgNNXrfXacF/0hrret+QW0fkNAXwj9orXn0y228s+ogNw1vLy1+EVBsThcz393Akp1HePLy7lw7sG2dXtdQo/fbe7GsEEJ4TSnlOX0PeHP5AbSGR+QYvwgA1Vv4/7ys7oHvrTqHvtb6YINUIIQQ1SileKzqvP23fvUcLZTgF81ZpcMzSv/nXbletfBPhb9fZU8IEYBU1Xn7AG/9egC3hr+Nk+AXzU+lw8Ut89ezdHf9D9qrjYS+EMIvqWMT9nhO53O53cd6AIRoDqrPtPevK3owoX/DBj5I6Ash/JhSir+P64bJoHhz+QGcbs0Tl3aXi/SIJq/C7uLm+VWBP75nvZ2HfzIS+kIIv6aU4uGxXTEZDbz6yz5cbs1Tl8vV+UTTZbU5mf72Wn47UMCzV/Tkqn6NE/ggoS+EaAKUUtx/QRdMBsWLP+3F6db864qeGCX4RRNTWung+rlr2XioiFkTzubSs1ue/EX1SEJfCNEkKKW49/wumAwGnl+8G5vTzf9d3Quz0eDr0oSok+IKB1PnrGFrZjEvTuzN2B4pjV6DhL4Qokn587mdCTIbeObbndidLl6Y2Jsgk1/P/yUEhVY7U+asYWdOCa9c24fzz0r2SR11npGvsSmlYoEPgXZAGnC11rqwluXSgFLABTi11v1OYVsyI58QTczcFQf4x1fbGd0lgVev60uwWYJf+KcjpZVMfmsNB/KtvH5dX0afmViv6/dmRj5/7hd7EFiite4MLKm6fzyjtdZnn0rgCyGapuuHtuepy3vwy+5cpr+9FqvN6euShPiDrKIKJry+mkOF5cyb1r/eA99b/tzS3wWM0lpnK6VSgF+01l1qWS4N6Ke1zjvJ+k76i/rr30IIcXyfrs/gL59spnebGOZM609UiNnXJQkBQFqelWvf+o2SCgfzbuhP37axDbKdBrngTmNTShVpraOr3S/UWsfUstwBoBDQwOta6zeOsz4JfSGaqW9Ts7nzg410TozgnekDiA8P8nVJIsDtOVzKtW/9hsPlZv70gXRvGdVg22oyoa+UWgzUNprhEeDtOoZ+C611llIqEfgRuENrvczLOuSYvhBN3NLdudwyfx0tokN4d/pAWkSH+LokEaA2Hypi6tw1mI0G3p0+kC7JEQ26vSYT+idS1+79Gq95DCjTWv/Hy21J6AvRDKw5UMD0eWuJDDHz3o0DaRcf5uuSRIBZuS+Pm95eR2y4hXenD6RtXMP/H2wuA/m+BKZW/Xsq8EXNBZRSYUqpiKP/Bs4HtjZahUIIvzKgfSwLbh5EhcPFla+tZGtmsa9LEgHkh205TJu7lpYxIXwyY0ijBL63/LmlHwd8BLQB0oGrtNYFSqkWwFta67FKqQ7AwqqXmID3tdZPnsK2pKUvRDOy90gZU/77G6WVTt6c2o9BHeJ8XZJo5j5Zn8EDn26hR8so5l3fn+hQS6Ntu1l07zcmCX0hmp+sogqmzFlDekE5L07szQU+mgxFNG9aa95Ytp+nv93JsE7xvD65L2FBjTvvnYS+lyT0hWieCq12ps1bS2pGEc804pXMRGBwuzVPfrOD//56gHE9U3ju6l4+mR1SQt9LEvpCNF9Wm5MZ765n+Z487jnvDO4Y0+nYl6QQp8rudHPfx5v5cnMW04a04+/juvnsyo8S+l6S0BeiebM73Tz42RY+25DJxAGteeLS7pjkQj3iFJXZnNxatSN5/4VduHVkR5/uSHoT+nLBHSFEs2cxGXjuql6kRAXz8s/7OFJi48VJvQm1yFeg8E5OcSXXz1vL7sOlPHtlT67u17QOGUlLH2npCxFI5q8+yKNfbKVHq2j+O7WfzN4n6mxHdgk3zFtLSYWDV67ry8gzEnxdEiDd+16T0BcisHy/LYc/f7CR+PAg5k7rT+ekhp0xTTR9y/fkcuu7GwgLMjJnWn/OatFw0+p6S0LfSxL6QgSezYeKuPGddVQ6XLx6bV+GdY73dUnCT324Np1HFm6lU2I4c6b197spniX0vSShL0Rgyiyq4Ia5a9mXW8Y/L+vONQPa+Lok4Udcbs0z3+7gzeUHGN45npev7UNksP9dxVFC30sS+kIErtJKB7e/v5Glu3O5eUQHHrjwTIw+OvVK+I/SSgd//mATP+08wtTBbfnbuG5+e8aHhL6XJPSFCGxOl5snvt7O26sOMvKMBF6Y2JuoEP9r0YnGcaignBvfXsfe3DIe+1M3Jg9u5+uSTkhC30sS+kIIgPd/S+fvX2ylTWwob07tR8eEcF+XJBrZqn353Pb+BhwuN69c24fhnf1jhP6JSOh7SUJfCHHUmgMF3PrueuwuNy9M7M3oLom+Lkk0Aq01c1ek8eQ3O2gXF8obU5rOTp+Evpck9IUQ1WUUlnPzO+vZkVPC3eeewe2jO/lsilXR8CodLh7+LJXPNmZyXrck/u/qXkT44YC945HQ95KEvhCipgq7i4cXprJwYyZjzkzk+avPJiq06QSBqJtDBeXc+t56tmU13R08CX0vSegLIWqjtWb+6oM88fV2kqOCefXavnRv6T+TsojT8+P2w9z70SY0MGvC2ZzTNcnXJZ0Sb0LfP88/AJRSVymltiml3EqpfidY7kKl1C6l1F6l1IONWaMQonlTSjFlcDs+vGUwDqfmildX8v5v6dJAaOIcLjdPf7ODm95ZR5u4UBbdMbzJBr63/Lalr5TqCriB14H7tNbralnGCOwGzgMygLXARK31di+3JS19IcQJ5ZXZuPvDTSzfk8fFPVN4enwPv5yoRZxYdnEFt7+/kfUHC5k8qC2PXNyVYLPR12WdlmZxlT2t9Q7gZJcrHADs1Vrvr1r2A+BSwKvQF0KIk4kPD+Lt6wfw2rJ9PPfDbrZkFPHixD6c3Tra16WJOvo2NZsHP0vFWXVmxiW9Wvi6pEbnt937ddQSOFTtfkbVY3+glNLHuzVKpUKIJs9gUMwc1YmPbhmM2w1XvrqS15buw+WWrxF/ZrU5eeCTLdz63gbaxoXy1R3DAjLwwcctfaXUYiC5lqce0Vp/UZdV1PKYfPqEEA2qb9sYvvnzcB76bAvPfLuTJTsO89xVZ9MmLtTXpYkaNh8q4q4PN5GWb+W20R2569wzMPvpdLqNwaehr7U+9zRXkQG0rna/FZB1nG0d9ziBtPaFEN6KCjHz8qQ+fL4pk79/sY2LZi/jb+O6MaF/65MdlhSNwO508+JPe3jll30kRQSx4KZBDOoQ5+uyfM5vB/IdpZT6heMP5DPhGch3DpCJZyDfJK31Ni+3IQP5hBCnLKuogvs+3szKffmM7pLAU+N7kBLlX5dfDSSpGcX85ZPN7MwpZXyfljw67qxmPcdCszhPXyl1OfAikAAUAZu01hcopVoAb2mtx1YtNxaYBRiBOVrrJ09hWxL6QojT4nZr5q1M49nvd2IyGHjgwi5cO7Btk5vopSmzOV289NNeXvllH/HhFp66vEdAnIrXLEK/MUnoCyHqS3p+OY98nsryPXn0axvDM1f0oFNihK/LavZW7s3jr19sZX+ulSv6tOLv47o169Z9dRL6XpLQF0LUJ601n27I5Imvt1Nhd3HziA7MHN2RUIvfniXdZOWW2nhy0XY+35RF27hQHr+0OyPP8P8r49UnCX0vSegLIRpCXpmNJxftYOHGTFpEBfPwxV25uEeKDPSrB06Xm/fXpPPv73dhc7iZMbIDM0d3avIT7ZwKCX0vSegLIRrSurQC/v7FNrZnlzCoQyyP/uksuqZE+rqsJklrzS+7cnnymx3sPVLGkI5xPHFZ9yZzGdyGIKHvJQl9IURDc7k1C9ak858fdlFc4eDy3i2557wzaBUj5/bX1c6cEp5ctIPle/JoHx/Gw2O7cm7XxIDvOZHQ95KEvhCisRSV23n1l33MXZkGGiYPbsttozsRG2bxdWl+a39uGS8s2cMXm7OIDDZz17mduXZgWyymwJ1kpzoJfS9J6AshGltWUQWzFu/mk/UZhFpMTB7clunD2hMfHuTr0vzGwXwrs5fs4fONmQSZjEwZ0pZbR3YkOlR2kKqT0PeShL4Qwlf2HC5l9pI9LErNxmI0MHFAG24e0YEW0YE7uc+2rGLeWn6ALzdnYTIopgxuyy0jO8oO0XFI6HtJQl8I4Wv7cst47Zd9LNyYiVIwrmcLpgxuS+82Mb4urVForVm6O5c3l+9nxd58wixGrhnQhltGdCAxMtjX5fk1CX0vSegLIfxFRmE5by0/wMfrDmG1u+jVKoopg9txcc+UZnk6Wn6ZjYUbM1mwJp19uVaSIoO4fmh7Jg5oQ1RIYEyuc7ok9L0koS+E8DellQ4Wbszk7ZVp7Mu1EhVi5uKeKYzv3ZK+bWOa9Ih1l1uzcl8eH6w9xA/bcnC4NH3aRHPtwLb8qVcLGaDnJQl9L0noCyH8ldaalfvy+WjdIb7flkOlw02b2FAu692SC85KoltKZJPYAXC63Kw5UMCi1Gy+35ZDXpmd6FAz43u3YkL/1nRJlqmKT5WEvpck9IUQTUGZzcn3W3NYuDGTFfvy0BpaRAUzpmsi53RNYnCHOL86BJBXZmPF3jyW78nj551HyLfaCTEbGdM1kYt7pDDmzES/qrepktD3koS+EKKpySuz8dPOIyzefpjle/KocLgwGxU9WkYxoH0cA9rH0LdNbKNddEZrTUZhBZszitiUXsTKfflszy4BICrEzPDO8VzcI4VRXRIJsUjQ1ycJfS9J6AshmrJKh4tV+/NZvT+ftQcKSM0sxuHyfJ+1iAqmS3IEXZIjOTM5glYxIaREh5AUEYTJ6P2xc5dbk11cQVpeOQfyraTlWdmXW8aWjGIKrHYALEYDvdtEM+KMBIZ1iqd7yyiMconhBiOh7yUJfSFEc1Jhd7HpUBGbDhWxK6eEnTml7MstO7YjAGBQkBARRGxYEOFBRkItJsKDTASZDbjdGodb43JpnG43xRUO8q12Cqx2iiscVP+qDDYbaBcXRo+WUfRqHU2vVtF0SY6QwXiNSELfSxL6QojmzuFyk5ZnJbOoguziSrKLKsgqrqSo3IHV5qTc7qTM5qTS4cZkVBgNCpNBYTIYiAwxERcWREyYmdiwIJIig2gfH0b7+DCSIoIxSCvep5pF6CulrgIeA7oCA7TW646zXBpQCrgAp9a63ylsS0JfCCFEk+RN6JsavJpTtxUYD7xeh2VHa63zGrgeIYQQoknz29DXWu8A6u3806OteSGEECJQNYeRFhr4QSm1Xil1s6+LEUIIIfyVT1v6SqnFQHItTz2itf6ijqsZqrXOUkolAj8qpXZqrZfVXOhExzqkF0AIIUQg8Gnoa63PrYd1ZFX9PKKUWggMAP4Q+kIIIUSga9Ld+0qpMKVUxNF/A+fjGQAohBBCiBr8diCfUupy4EUgAViklNqktb5AKdUCeEtrPRZIAhZWDfYzAe9rrb87jW3WQ+VCCCGEf/Lb8/QbkxzTF0II0dQ19fP0G53sAAkhhGhqvOmlbtLH9IUQQghRdxL6QgghRICQ0BdCCCEChF+HvlKqtVLqZ6XUDqXUNqXUn2tZRimlXlBK7VVKbVFK9fFFrUIIIYS/8/eBfE7gXq31hqrz8dcrpX7UWm+vtsxFQOeq20Dg1aqfQgghhKjGr0Nfa50NZFf9u1QptQNoCVQP/UuBd7Rn6P1qpVS0Uiql6rXHyGl5QtQfd2UljqwsHLm5uI4cwZmbizM3D3dZKa7ycnR5Be7ycrTD8fsXKoUhOBgVGooxNBQVGoopOgpjQiKmhATMiQmYkpIwJSaiDH7dESlEk+TXoV+dUqod0Bv4rcZTLYFD1e5nVD2WjRDilGmtcR4+TOWOnVRu34Zt334chw7hyMrClZ//xxcYDBhCQlAWCyo4GENQEBiNUP10Iq1x2u1omw23zYaurETbbH9YlTKbMSUnY27VEkubNgR16UJIt24Ede6MISysAX9rIZq3JhH6Sqlw4FPgLq11Sc2na3nJH1r1csEdIU7MWVhI+foNlK9bS+Wmzdj27sVdVnbseUN0NKaEBIK6dsWclIQpORljXBymmBiMUVEYwsNPqXWuHQ5cRUW4iotxFhZ6eg1ycnDm5OA4lEHFho3/2zFQCnNKCkFdzySkdx9C+/cjpGtXlMVSX38GIZo1vw99pZQZT+C/p7X+rJZFMoDW1e63ArIaozYhmjJnYSHWlSuxLltO+bp1ODIzPU8YDJhbtyakb18s7dtj6dABS9u2GBuoha3MZkwJCZ4dilqe1243ztxc7AcOeG5paVRs3ETZkp88r7dYCDrzTMIGDyJs5EhCe/RAmc0NUqsQTZ1fT8OrPNMMvQ0UaK3vOs4yFwO3A2PxDOB7QWs9wMvtaJAZ+UTzpt1uKrZsofT7Hyj79Vfse/eC1qjgYIK6dCH4zDMJOussgjp29HTN+zlnfj6VO3di276dyp07caSne36fkBBC+/YlfPQoIs47D3Nioq9LFaJBHZ2Rry7T8Pp76A8DlgOpgLvq4YeBNgBa69eqdgxeAi4EyoHrtdbrvNyOhL5olrTdTtmKFZ6gX7oUV2EhGAxYOnYkpGdPQvr0IahTJ5TR6OtST5urtJSKLVuo2LiRytTUY+MOgs48k4hzziHy4rEEdejg4yqFqH/NJvQbi4S+aE602411zRpKFn5O6ZIluMvKUEFBBPfoQeigQYT264cxPNzXZTYorTWOQ4ewrlpFxdq12NPSALB06kjUuHFEXXop5pQU3xYpRD2R0PeShL5oDmwHDlC44ANKFi3ClZ+PCgoipHdvwkaMILR374A+zu3Mz6fs118p//VX7AcOABDcsyfRV15B1LhxGEJDfVyhEKdOQt9LEvqiqXJXVFCy6BsKP/qIyi1bwGAguEcPwkeOJHTAAAzBwb4u0e84cnIoW7oU67JlOA8fRoWEEHn++URPmkhIz55eXbFMCH8goe8lCX3R1NjT08mfN4+SL77EbbViSkwkfMwYws85B1NMjK/LaxK01lTu2EHpDz9QsWYN2m7H0qkjsZMnE3XppbLDJJoMCX0vSeiLpkBrTdmy5RS8PY/yVatBKUL79SNi7FiCzzpLWqinwV1eTtnSpZR+9x2OzEwMERFEXX45cdOmYm7RwtflCXFCEvpektAX/kzb7RR/+RX5/30L+4E0DJGRhI8ZQ+TYsZhiY31dXrOitaZy2zZKvvqKig0bQCkizjuXuBkzCOna1dflCVErCX0vSegLf+Qqs1K4YAEFb7+NKy8Pc8sWRF5yKeEjRgT0oLzG4szNpfjLLyn76Se0zUbogAHE3XILYUMGS6+K8CsS+l6S0Bf+xFVWRsHcuRS8Mx93aSmWM84gevx4Qvr2lbDxAVdZGSXffEPpd9/hLikh+KyziL/zTsJHDJf3Q/gFCX0vSegLf+AqLSV/zhwK57+Lu6yM4B49iJ4wgeAzz/R1aQJw2+2ULV5M8cKFuAoLCeralYQ/30n4yJES/sKnJPS9JKEvfMldUUH+nLkUzJ3rCftevYi+5hqCO3f2dWmiFtrhoHTJEk/45+cT1K0biffdR/iQwb4uTQQoCX0vSegLX9B2OwUffkT+K6/gKiz0tOyvvZbgTp18XZqog2Ph/+mnuAoLCenfj8S//IXQnj19XZoIMBL6XpLQF41Ja03J119z5P+ex5mdjaVzJ2ImTyGkWzdflyZOgdtup2TRIko+/xy31Ur46NEkPnA/Qe3a+bo0ESAk9L0koS8ai3X9eg4/+SS27Tswt2pFzHXXyQC9ZsJdXk7RwoWUfvMN2ukk+uqrSfzznRijo31dmmjmJPS9JKEvGpotPZ0jTz9D2c8/Y4iKIuaaawgfM6ZZXN1O/J6zsJDCd9/FumwZhtBQ4mbcQtzUqSiLxdeliWZKQt9LEvqiobitVnJffpmCd+ajDAYix40javx4meI1ANjS0iicO5fKbdswt2pF0iMPEzF6tK/LEs2QhL6XJPRFfdNaU/z5Fxz5z39w5ecTOmQIsdOmyQx6Aah83ToK5szBeeQIoUOHkPy3v8nxflGvJPS9JKEv6lPFzp3k/O3vVKamYm7blribbpJz7QOcdjgo/vJLij/7DO1yETt5Mgl33oEhJMTXpYlmoFmFvlJqDjAOOKK17l7L86OAL4ADVQ99prV+3MttSOiL0+Yqs5L7/PMULliAITSU6EmTiDj3XJTB4OvShJ9wFhZSMG8e5StWYEpMJOlvfyXyvPN8XZZo4ppb6I8AyoB3ThD692mtx53GNiT0xSnTWlOy6BsOP/00roICwkaNInbKFIwREb4uTfipiq1bKXjzDRyZWYQOHUrKP/6BpVVLX5clmqhmFfoASql2wNenE/pHg/1EmsLfQvgXW0YGOX/9K+Wrf8PcpjVxN98iXfmiTrTT6eny//RT0Jr4mTOJu3E6ymTydWmiiQnE0P8UyACy8OwAbKtlOQl9UW+000n+nDnkvfwKAFFXX03UuHFyCp7wmjMvj/zXX6di40YsnTqR8tSTMquf8EqghX4k4NZalymlxgKztdZeTVou3fvCGxVbt5L18MPYd+8huFcv4mfMwJSQ4OuyRBNnXbmS/P/+F3dJCdHXXEPSffdiCAvzdVmiCQio0K9l2TSgn9Y6z4v1S+iLk3LbbOQ+P4uCd97BEB5O7A03EDZ0qMymJ+qN22ql4O23KfvpJ0xJSaQ8+U/Chw3zdVnCzwVU6CulkoHDWmutlBoAfAK01V78YhL64mSsa9eS/fDDOA5lEDZiBLE33IAxPNzXZTUIt9aU2t0U292/+1nmcGN1asodbsqdmnKnG5tLY3Np7C5NpUvjdGtcmmM/3bV8pEwKjAaFUYHJoLAYwGJUBFXdgo0GQs2KUJOBUJMizGwg0mIgwmIgsurf0UEGgk3N96yIim3byH/lFZyHDxN5ySUk//URjJGRvi5L+KlmFfpKqQXAKCAeOAw8CpgBtNavKaVuB24FnEAFcI/WeqWX25DQF7Vyl5dz+NlnKfrwI4yxscTdcguhffr4uqxTUu50k2N1klPu4kiFi9wKF7kVTvIqXORVuCi0uSm0uSiyuXGd5KNgNkCIyVAV0gqLUWExKMxGMCt1LNQNNb6CNJ4dgeo7Bw63Z8ehsmrnocLpuZ3s0xhiVEQHG4gNMhIbbCQhxEh81c+EECOJoUZSQk0khBgx1iykCXDbbBQtWEDJokUYY2NJfuxROb1P1KpZhX5jkNAXtbGuWUPWAw/izM4m/NxziZ061a8nU6l0ukkvc3Ko1ElGmYNMq5PMMs8tp9xFsd39h9eEmtSxsIwJNhIbZCAm2Eh0kIFoi5FIi4HIIE8LO8xsIKyqBW4xNmyIurVnJ6DcobE6PT0NJdVuxTYXBTY3BZWenZWCShd5lZ6dl5o7LEYFCSFGWoSZaBlmomW459Y63ESbCDNJoUYMfnyIpnLPHvJffhlHRgYRF11EymOPYoyK8nVZwo9I6HtJQl9U566o4PCz/6bogw8wxsURf9tthPTo4euyAE8YZltd7C+xs7/Ywf5iBwdLnRwsdZBT7vrdsqEm5Qm4MBMpYSZSQo0kh5lICjWRFOoJ+jBz8+oid2tNkc1NboWLnHInOVYX2eVOcsqdZFtdZJR5/k7VDzsEGRWtw020jTDRLtJMxygzHaIsdIg0E2Hxj7+Pdjgo/OgjSr74AmN0NClPPEHEOWN8XZbwExL6XpLQF0dZ168n+/4HcGRmelr306b57OI4eRUudhXZ2VNoZ0+xg92FdvYVO6io1pSNshhoH2mmTYSJthFm2kaaaBNuplW4iegggwwyrIXDrTlc7ukRSa/aYUovdZBW6iS91IGjWodIYoiRztFmzoi2HPvZKdpMkNE3OwOVe/eS/+ILODKziBx3McmPPiqTQAkJfW9J6Au33U7uc/9HwTvveI7dz5xJaK9ejbJtrTUZZU62FtjZWWBnR6GdHQV28ir/13KPDzbQqSp4OkZa6BDlaZHGSLDXK6dbc6jMyYFiB/tKHOwtsrOnyMG+YjtHj44YFXSIMnNmjIWuMRa6xVroFhvUaL0C2uGgcMECSr76CmN8PC2eeYbwoUMaZdvCP0noe0lCP7BVbN9O1r33YT9wgLCRI4m78cYGPXafV+FiS56NLfk2tubb2JpvP3a83aSgY5SZM2M9gdIlxsIZ0RZig2XSH19yujWHSp3sLvLslO2suh2udkilfaSJ7rFBdI8Pold8EF1jLA069qFy1y7yXngB5+HDRF8zgaQHHvDrMSei4Ujoe0lCPzBpl4u8114n75VXMISFETdjBmEDBtTrNpxuza5COxtzbWzKs7E5z0ZGmRPwtBjPiLZwVpzFExZxFjpHN2xQiPpVUOlie4Gd1Hwb2/JtbC34346A2QBdYy30ig+iT0IwfRKCSAyt3yl23TYbBfPmUfbjj5hbt6bFf/7daD1Uwn9I6HtJQj/w2A4dIuuee6hM3UpIv37Ez5xZL+dBVzrdbMmzsfaIjQ25lWzKtVHu9Py/Sg410quqFdgzPohusRZCmvG55oHqcLmTzVU7eFvyPD05lVXjMFqFm+iTEETfxGD6JwbTLtJUL4dnyjdtIv/ll3EVFxN3800k3H67zOEfQCT0vSShHzi01hR9/DGHn3oagNgbbiB89OhT/uK1udxszLXxW04la49UsiXPhsMNCugSYz7WwuudGEyLMPkSDkQOt2ZngZ31uZVszLWx4UgleZWewznxwUb6JQUxICmYQUkhp7UT4LJayX/tNcpXrSKoW1daPvccQe3b1+evIvyUhL6XJPQDg7OwkKwHH8K6dClBXc4g4a67vZ4z3+XWbC+wsyqnglU5ni9xm0tjUNAtxsKApGD6JQXTNzGISIschxd/pLUmrdTJ2sOVntuRymOHBJJCjQxKDmZQcghDkoNP6XBA2bJl5L/1FrhcJD5wPzETJ8pgz2ZOQt9LEvrNX9nSZWQ99BCu4mKir76aqMsuq/MV8XKsTlZkV7Aiu4KV2ZXHBt2dEW1mUHIIg5KD6ZcY7DfndIumRWvNwVInv+VUsjqngtWHKymyef6PdY42MywlhKEpIfRNDKrz1MPO/HxyZ8/Gtn07YcOH0+Jfz2CKjW3IX0P4kIS+lyT0my+3zcbhZ/5F0YIFmFJSSLj7boI6dDjhaxxuzcZcG8syy1mWVcGeIgfgmdVtaEoww1JCGJgcQnyItORF/XNrz+DPFdmVrMiuYP2RShxuzyRCA5OCGdEyhBEtQmgdYT7herTbTfGXX3ommYqIIOXpp4gYNapxfgnRqCT0vSSh3zxV7NpF1l13YT+QRvh553km2gkKqnXZwkoXy7Iq+CWjnF+zKyhzaMwG6JsYzPAWIQxLCaFztFm6SUWjK3e6WXu4khVZFSzNrCC96uyP9pEmRrUMZVSrUPokBGE6zvUFbAcOkDfreRyZWURPmEDSQw/6bMIp0TAk9L0kod+8aK0pmDuPI88/jyEkhPiZMwnt1+8Pyx0ocbDkUDk/Z5SzKc+GW3ta8yOrWlKDk0MIly574WfSShwsz6pgaWY5aw57egGiLAaGtwhhTOtQRrQI+cP0ym67ncJ58yj94Qcs7dvRYtYsQrp08dFvIOqbhL6XJPSbD2deHpn33Uf56t8I7tWLhDvvPHZxEq012wrsLD5UzuJD5ewr9nTbd42xMLpVCKNbhdIt1uLXF18Rojqrw82K7Ap+zihnaWYFhTY3ZgMMTg7hnNahjGkV+rvDUOXr15P38su4KypIvPtuYq+fJr1XzYCEvpck9JuH0iU/kfXww7jLy4m57joix45FA5tybfyQXs4Ph6xkW10YFfRLDObc1qGMaR0qp9KJZsHl1mzMs7E43bNTm2l1ooB+iUGc3yaM89qEkhRqwlVcTO7s2VRu2ULooIG0/M9/MMXH+7p8cRok9L0kod+0uW02Dj/1NEUffoi5VSvi7r6bbSFJfHvQyg/p5eRWuDAbYGhKCOe38RwDjQmSQXii+dJas6vIweJ0K9+nl7O3qlerd0IQF7QJ5YI2oYT8/D2F772HISyMFk89ScQYuWpfU9WsQl8pNQcYBxzRWnev5XkFzAbGAuXANK31Bi+3IaHfRFXu2k3mXX/GfiCNypHn8WX/y/gmyzMVapBRMaxFCBe2CWVUy1A5Pi8C1r5iOz+kl/P9QSu7ihwooE9iEOODiuj76WvorEyiJ04k6cEHjjvYVfiv5hb6I4Ay4J3jhP5Y4A48oT8QmK21HujlNiT0mxitNQXvvMPh/zyHzRzE64Mm8V3kGZgNMLxFCBe2DWNMq9Bmd714IU7XgWIH3xy08u1BK/uKHQS5HTy0/zsGbl2KqX17Ws+eRfAZZ/i6TOGFZhX6AEqpdsDXxwn914FftNYLqu7vAkZprbNrLHfSX7Qp/C0EZKVlse/e+4nftp61SWcyq88EurZL4OJ2YZzTOlRmwhOijnYX2fkmzco3aVaS96Zyz8YPCXfaKJ46g/5330KQWT5LTUGghf7XwDNa61+r7i8BHtBar6uxnIR+E1Zmc/Ld1hw2ffYdF339BhGOcr7rfwkx48ZxYbtwmShHiNOgtWZLvp0lW7Po+Ml/6ZWzk3Utu3Pg+ru4eHhX+rSJkVH+fizQQn8R8HSN0L9fa73ei/VL974fcrs1q/bn88n6DBZvzmDClq+5Yu9SSuKSibj9z7Tv0dnXJQrR7DicLlLfX0jU1x9TbAnj330nUnRmL67o04rL+7SkVUyor0sUNQRa6Nepe/8k65fQ9yNpeVY+WZ/BZxsyyCqupIs9n79teI+4nHTCx4whdvp0GWwkRAOz7d/P4ef+D9eRw6zscz7PtByN02BiSMc4ruzbiou6pxAih9L8QqCF/sXA7fxvIN8LWusBXq5fQt/Hyu1Ovk3N4aN1h/jtQAEGBcM7xXN9wUaS5r+KwWwm7tZbCRs0yNelChEw3DYbBW+9RdnPP6M6dmb5pLuZnwnpBeVEBJkY16sFE/q3plerKOn+96FmFfpKqQXAKCAeOAw8CpgBtNavVZ2y9xJwIZ5T9q6veTy/DtuQ0PeR1IxiFqxN58tNWZTZnLSLC+Wqfq25vGM4zicf81wGt1s3Eu66S64SJoSPWFetIv+119BOJ4kPPsCeAefx4foMvknNptLh5oykcCb0b8P43i2JCbP4utyA06xCvzFI6DeukkoHX2zK4oM16WzLKiHYbGBsjxQm9GvNgPaxWFetJusvf8FVVET0hAmey+Aa5NQ7IXzJmZ9P7qznse3YSfioUbR45mnKg8P4anM2H65NZ3NGMRaTgYu6JzOhf2sGd4iT1n8jkdD3koR+w9NasyWjmPd/S+fLzVlUOFx0TYlk4oDWXHp2S6JCzGi7nSPPPUfBO/MxJSYSf/fdBHfq5OvShRBVtNtN8cKFFH30EcboaFo8+yzhQ4cAsD2rhA/WprNwYyallU46xIcxaWAbrujTSlr/DUxC30sS+g3HanPy5eYs3vvtIFszSwgxG7n07BZMHNCGntWOA1bu20fmXXdj37OH8NGjPYP15PKfQvilyr17yZv1PM7DR4i57jqS/nIfyuIJ9kqHi0Vbsnl/TTrrDxZiMRkY2z2Zawe1pV9bOfWvIUjoe0lCv/7tOVzKu6sP8tmGTEptTs5MjuDagW24tHdLIoPNx5bTWlP4/vsc+dezKBmsJ0STUX2Qn6VTJ1rOev4PPXM7c0p4/7d0Flb7HrhuUFsu692S8CC50FV9kdD3koR+/XC43Py4/TDvrEpj9f4CLEYDF/dM4bpBbWqd3MOZl0fmAw9SvmIFQWd1I+GuuzHFxPioeiHEqbCuXu0Z5Ge3k3DvPcROmfKHz3q53clXm7N4Z9VBtmWVEB5kYnyflkwe1JbOSRE+qrz5kND3koT+6ckrs7Hgt3Te+y2dnJJKWsWEcO3AtlzdrxVx4bWfT1+yeDHZj/wVt9VKzKRJRI4bJ4P1hGiinIWF5L3wApWpqZ7L9f7735gSEv6wnNaaTYeKmL/6IF9vycbudDOkYxxTh7Tj3K5JGA3S9X8qfBb6SqlYIFxrnV5vK20EEvqnZvOhIuatTGPRlmzsLjfDO8czdXA7Rp+ZeNwPr9tqJefJJyn+bCHmVq2Iv+cegtq0aeTKhRD1TWtNyTffUPjuuxhCQkh5/B9EXnjhcZfPL7PxwdpDvLf6IFnFlbSMDuG6QW2ZOKA10aEy8M8bvgz9ucBkrXWTOlgjoV93Dpebb7fmMG/FATakFxFmMXJVv9ZMHtyWjgnhJ3xt+caNZN17H47sbCIuuojYyZNRZvMJXyOEaFrshw6R+/zzONLTiRx3McmPPYYx/PjfDU6Xm8U7jvD2yjRW7c8n2Gzg8t4tmTakPV2Speu/Lnwd+lO01k1qbkYJ/ZMrtNp5f00681cdJKekknZxoUwd0o4r+7YiIvjEwa3tdo7MfoGCOXMwxsYSf/vthPTo0UiVCyEam3Y4KFywgJKvvsKUkECLZ/9VpwG6O3NKmLcijYUbM7FVdf1PH9ae0V0SMUjX/3FJ6HtJQv/49h4pZc6KND7bkEGlw9OFf/3Qdow6o24fwsrdu8m89z7se/YQOmwY8TffjCFULtghRCCo3LmTvBdewJmbS8x115F43711um5GodXOgrWeRkZ2cSXt48O4fqinkRFqaVIdyY2i3kJfKeXtsfkYIFRCv2nTWrNibz5v/bqfX3blYjEZGN+7JdcPrXt3m3a5yH/zLXJfeglDcDBxN99M2JAhDVy5EMLfuCsqKJgzh7Kff8bcti0t/v0soT171um1Rw8n/vfXA2w+VERksIlJA9sydUhbUqJCGrjypqM+Q999CtvXEvpNk93p5svNWby1fD87c0qJDw9iyuC2XDuwzXFH4dfGlpZG1n1/oXLrVkL69CH+ttswRkU1YOVCCH9Xvn49+a++iqukhLjp00m44/ZjE/qcjNaaDemF/PfXA3y3NQeDUvypVwumD2tP95by3VKfoZ8N5Gite9dxw/PwDOST0G9CiiscvPfbQeatSONIqY0uSRFMH96eS3q1INhc97dSu90UvDOf3OefB4OB2OuvJ3z0aJmBSwgBgKusjPw33qB85UosnTrR4j//JuTMM71ax6GCcuasOMBHaw9htbsY3CGOm0d2YNQZCQH7XVOfof8NMAbPaXjOOmxYjuk3IRmF5cxdkcYHa9Kx2l0M6xTPTSM6MKJzvNcfHtvBg2Td/wCVmzcT3L078XfcgSkuroEqF0I0ZdZVq8h/4w3c5eXE3XQjCbfd5vWZPMUVDj5Yk87cFWnklFTSJSmCG4e359KzW2IxBdacH/UZ+k8D9wN9tNab67DheUhL3+9tzyrhjWX7+GpLNgr4U68W3Di8PWe18L6bTLvdFMybR+6s2WA0EjtlCuHnnhuwe9xCiLpxlZR4Wv2rV3ta/f96hpCzzvJ6PXanm682Z/Fm1WHJpMggbhjanokD2/xuyu/mrD5Dvz8wCZirtd5Shw13AZK11kvrXK0fCITQ11qzal8+ry3bz7LduYRZjFwzoA3Th7WnRfSpDYip3L+f7AcepDI1leCePYm/7TZp3QshvGJdvdrT6rdaibt+GvF33omhjsf6q9Nas2xPHq8v3cfKfflEBJmYNKgN04e2JzGyeV+8S6bh9VJzDn2XW/PDthxeXbqPLRnFxIcHcf3Qdlw3sC1Roae2F6wdDvJee42819/AYLEQM2UK4eecI617IcQpcZWWkv/mm5SvXIm5TWtSnnqKsH79Tnl9qRnFvLZsH9+mZmMyGBjfpyU3j+hAh5NMINZUNavQV0pdCMwGjMBbWutnajw/CvgCOFD10Gda68e93EazC32b08XnGzN5fel+9udZaRcXys0jOjK+T0uvBufVVL55M9kPPoT9wAFC+vcn/pZbMEZH11/hQoiAVb5+Pfmvv46rsJCoK68k6YEHMIaHnfL6DuZbeXP5fj5el4Hd5eai7sncOrITPVo1rxH/zSb0lVJGYDdwHpABrAUmaq23V1tmFHCf1nrcaWyn2YS+1eZkwZp03ly+n8MlNrq3jOTWkZ24sHvyaV3MwlVm5chzz1H0wQcYoqKIu/FGuQSuEKLeuSsqKJg/n7Iff8QYF0fy3/9G5Pnnn9Y6c0ttzFt5gHdWHaS00smwTvHMHN2RwR3imkUPZXMK/cHAY1rrC6ruPwSgtX662jKjqEPoHw32E/Hnv8XJFJXbmbcyjXkr0ygqdzC4QxwzR3dkWCfvR+LXVPLd9+T885+48vMJHzWK2GnTMISd+t63EEKcTOXOneS/+gqOzCzCRowg5R+PYU5JOa11llY6eO+3dN5afoC8Mhu920Qzc1QnzjmzaU/z25xC/0rgQq31jVX3JwMDtda3V1tmFPApnp6ALDw7ANtqWVezDP0jJZW8uXw/7/2WTrndxbldk5g5uiN92pz+dekd2dlk//1RrMuXY27VirgZMwj28pxaIYQ4VdrppPjzzyn+9FMwGom//Xbipk1FmU5vKt5Kh4uP12fw+tJ9ZBRW0CUpgpmjO3JxjxRMxqZ3ul9zCv2rgAtqhP4ArfUd1ZaJBNxa6zKl1Fhgtta6s5fbaXLd+4cKynl92T4+WpeB0+XmT71aMHNUp3q5KpXbbif/jTfJf/NN0JqoK68k6pJLTvuDJoQQp8Kek0PB669TmZqKpWNHkh99lLAB/U97vU6Xm6+2ZPHKz/vYc6SMtnGhzBjpGfsUZGo6Z543p9A/afd+La9JA/pprfO82E6TCf19uWW88vM+Pt+UiUHBlX1bMWNkR9rG1U93e9myZeQ8/gSOjAxC+vQh7qabMCUk1Mu6hRDiVGmtsa5cSeG8ebgKC4m46CKSH36oXr6f3G7ND9sP8/LPe0nNLCY5MphbRnbgmv5tCLH4f/g3p9A34RnIdw6QiWcg36Tq3fdKqWTgsNZaK6UGAJ8AbbUXv1hTCP2dOSW89NNeFqVmE2QyMHFAG24e0aHeLjphz8gg55//xPrLUkyJicROn05o3771sm4hhKgv7spKij76iJJvvkFZLMTfeitxU6fUeR7/E9Fas3xPHi/9tJc1aQXEh1u4cXgHrhvUlvAg/+3pbDahD1DVZT8Lzyl7c7TWTyqlZgBorV9TSt0O3Ao4gQrgHq31Si+34behn5pRzAs/7eHH7YcJsxiZMqQd04e1J96LC+CciKvMSt7LL1Pw7rsopYi87DKiL7/c6ykxhRCiMdmzsih44w0qt27F3KoVSQ89RPiY+rvWx2/783np570s35NHdKiZG4a2Z+qQdkSF+N93Y7MK/cbgj6G/Ib2QF5fs4edduUQGm7h+aHuuH9qO6NDT35sFz/S5RR9/TO6sWbgKiwgdMoTYqVNlRj0hRJOhtaZi/XoK5s7FefgwIQP6k/zXvxJ8xhn1to2N6YW89NNeluw8QkSQiWlD23HD0PbEhNXPd3F9aNDQV0pNBaZqrcfUdr8p8qfQX5tWwAtL9rB8Tx4xoWZuHN6ByYPb1tsc0lprypYu48izz2Lfvx9Lx47ETp9erx8SIYRoTNrppHjRIoo//RRdUUHUpZeQcPc9mJMS620bWzOLeemnvXy3LYcwi5HJg9tx0/D2Xl12vKE0dOg/Cvz96EV1at5vivwh9Ffty+eFJXtYtT+f+HALN1UdRwqrx+NIFampHH76GSo2bMAYH0/MxImEjRjRLCanEEIIV0kJhR98QNmSJSijkZjJ1xF/660Yw+tv+t1dOaW89PNevt6SRbDJyOTBbblpeAcSInwX/hL6XvJV6B+9CM6sJXtYc6CAhIggZozsyKQB9TtitHL/fnKff56yHxdjCAsjcvx4osaOleP2QohmyZ6dTdG771L+228YIiOJu+lGYidPxhBcfxfe2XukjJd/3ssXmzKxmAxcO7Att4zo4JOL+0joe6mxQ19rzYq9+cxavJt1BwtJigzi1pEduWZAm9OaF78m+6FD5D4/i5Jvv0WZzURceCHRV1whs+kJIQJC5d69FL7zNrbtOzDGxhJ3y83ETJx4SlfxO579uWW8XHUatcmgmDigDbeO6khSI4a/hL6XGiv0j54OMnvJHtYfLCQlKphbR3Xk6n6t6zfsMzLIe+klir/6GgwGIs45h+irrsIY1bwuMiGEEHVRkZpK4fvvY9+zB2NCAvG3ziD6yivrNfwP5lt56ae9fLYxE6NBMWlAG2aM7EhyVMOHv4S+lxo69I+G/azFu9mQXkSLqGBuHd2Jq/u1qtdZnyr37iXv5Zcp/f4HMBgIHzmS6AkTMMXG1ts2hBCiKdJaU7FpE0UL3se+/wDGuDhir7+e2EkTMYSG1tt20vPLefnnvXy6IQODQTGxf2tuHdWpQcNfQt9LDRX6tYX9zNGduKqew748NZX8V16h7JelKLOZ8NGjiRo/Xk6/E0KIGo6F/8cfY9+9G0NkJLHXXUfslMn1epnwQwWe8P9kvSf8G7LlL6HvpfoOfa01v+7NY9ZiTzd+Q4S9drko/XEx+XPmULllCyokhIjzzyfqkkukG18IIeqgYvt2ij/+mMrUVFRQEJF/Gkf8jTdiadeu3rZRW/jX9zF/CX0v1Vfo1xygl1IV9vXZje8qLaXo408omD8fZ3Y2xrg4Ii66iMjzz6/XLiohhAgUtrQ0Sj7/HOvq1eByETZ0KLHXX0/YkMH1dkrzoYJyXvppL59syMBkUEwa2IZbR3asl9H+Evpeqo/QX7kvj1k/7mFNWgHJkcHcNrojV/dvXW9hX56aSuH8+ZR+/wPaZsPSsSORl1xC2KBBKGOT/dMLIYTfcBYWUrJoEWWLF+MuK8PcqhXRE64m+sorMcWc/uXKwXPM/8Wf9vDZRs9o/+sGtWXGyI6ndZ6/hL6XTif0V+/P5/kfd/PbgQKSIoOYOaoTE/rXz2h8V1ERRV99RfHHn2DbvRtlsRA6eDARF11EcKdOp71+IYQQf+S227H++iulP/yAfe9ez1ipc8YQfeVVhA2un4ZWWp6VF3/ay8KNGVhMBiYPasstIzue0nVVJPS9dCqhvzatgOd/3M3KffkkRAQxc1RHJtbDefbabqd06VKKPv0U668rwOnE3LIl4eedR8To0XKOvRBCNCJbWhql336LdeVKdEUFxvh4IseNI+aqKwnq2PG0138gz8qLS/bw+aZMgkxGpgxpyy0jOhLrxdz+jTH3/jSt9eja7jdF3oT++oOFzFq8m+V78ogPD+LWUR25duDphb222ylbsYKSrxdRtnQp7rIyDBERhA0eTPi552Jp316myhVCCB9y22yUr1lD2U8/UbltG7jdWDp0IOKC84n6058I6tDhtNa/L7eMF5fs4YvNWYSajUwd0o6bhneo04V95Cp7XqpL6G86VMTzP+5m6e5c4sIszBjZkesGtT3l6XJdxcWULVtO6ZLFWJf/ittqRQUHE9KnD2HDhhHapw/K5L/XbxZCiEDlLCykbOlSylevwr53HwDmdu2IOOccIs45h5BePU/5EMDeI6XMXuKZ2z/MYuL6oe24cVgHokKPP226hL6XThT6WzOLef7H3SzZeYSYUDO3jOzIlMFtCbV4F8ja6aRi2zasy5dTtnQZldu2gltjCAsjuHdvwoYOJfTss2U+fCGEaEKc+flYV67EumoV9j17QOv/9dSOGknY4MGYU1K8Xu/uw6XMXryHRanZRASZmD68PTcMa1/rFVcl9L1UW+hvzyph1uLd/LD9MFEhZm4e0YGpQ9oRXser3rnKrFRu3075b79hXbOGytRUdGUlAOY2bQjp3ZvQ/v0J6txZRt8LIUQz4Coro2LDBsrXraMyNRV3aSkApuRkQvr2IWzgQEL79sXSrl2dv/e3Z5Uwe8luvt92mMhgEzeP6MC0oe1/l0XNKvSVUhcCswEj8JbW+pkaz6uq58cC5XjGF2zwchvHQn9XTimzl+zmm9QcIoJN3DS8A9OGtjvu9ey11jgPH8a2dx+2XbuoSE2lcvt2HIcOQdXf1tSiBcFnnklwz54En3VWvZ36IYQQwj9ptxt7WhoVqanYtm3DtnsX7jIrACo4mKAuXQg56yyCz+pG0BldsLRvjzH8+AO1t2YWM2vxbhbv8PQ63zyiI1OHeHqdm03oK6WMwG7gPCADWAtM1Fpvr7bMWOAOPKE/EJittR7o5XY0wO3vbzh2HOWGoe24YXAbwp2VuIqKcBcX48jJwZGZhSMrC0dONo6MTOwHDx5rwQMYIiOxtG9PUMeOWDp3JrhLF4yRkaf7pxBCCNGEabcbR2Ymtl27sO3di33/PhyHMtAOx7FljPHxWNq2xZySgiklBXPLFlhatcIUF4cxMhJDVDRbC+zMWrKHn3d5xpfdOqojN43wnEXQHEJ/MPCY1vqCqvsPAWitn662zOvAL1rrBVX3dwGjtNbZNdZ10l/0/267A5MCA9rTSne7j1cYymTy3CwWzy0oyHPFJhl8J4QQoi60RjscaJsNbbfjttnRDjs4nWiX6zgvUiiDAa0UTsCtFfe8/ELV6k4e+v6eUC2BQ9XuZ+BpzZ9smZZANl5yRkfhUgoUoJQn3A0GqLopgwGMRs/P4znuGyWEEELUYDRCaKjnVp3WaLcbXC7PT7fb87N6g1RrXF423P099Gvba6n5G9ZlmRPuAR3tBfjLP5/wqjghhBDC1x588sk6L3uCJqtfyABaV7vfCsg6hWWEEEKIgOd1S18pFQ5cDvQGooBiYCOwUGtdVr/lsRborJRqD2QC1wCTaizzJXC7UuoDPF3/xTWP5wshhBDCy9BXSl0FvAZE8/tudQ3MUkrdorX+pL6K01o7lVK3A9/jOWVvjtZ6m1JqRtXzrwHf4Bm5vxfPKXvX19f2hRBCiOakzqP3lVLnAd8CbuA94BcgB0gGRuNpgSvgIq314oYotqHUx6V1hRBCCF9okPP0lVLLgT7A8Nomv1FK9QOWAeu01iO8KdjXJPSFEEI0Vd6EvjcD+XoDHx5vtjut9TrgIzw7BkIIIYTwM96Evo2Tn/ueVbWcEEIIIfyMN6G/HBh2kmWG4uniF0IIIYSf8Sb0HwB6KKWeUUr97qoASqkwpdSzQHfgwfosUAghhBD1w5uBfHOADsBwPOfmbwAOA0l4juNH4WnlH6jxUq21nl5fBTcEGcgnhBCiqWqo0fvHufrMSWmttV9fMF5CXwghRFPlTeh7MzlP+1MtSAghhBC+59eX1m0s0tIXQgjRVDXUefpCCCGEaMIk9IUQQogAIaEvhBBCBAgJfSGEECJASOgLIYQQAUJCXwghhAgQ3pyn36iUUrHAh0A7IA24WmtdWMtyaUAp4AKcWut+jVelEEII0XT4c0v/QWCJ1rozsIQTz+k/Wmt9tgS+EEIIcXz+HPqXAm9X/ftt4DLflSKEEEI0fX47I59SqkhrHV3tfqHWOqaW5Q4AhYAGXtdav3Gc9Z30F/XXv4UQQghxPA019369U0otBpJreeoRL1YzVGudpZRKBH5USu3UWi+rnwqFEEKI5sOnoa+1Pvd4zymlDiulUrTW2UqpFODIcdaRVfXziFJqITAAzyV+ay533D2guvQCCCGEEE2dPx/T/xKYWvXvqcAXNRdQSoUppSKO/hs4H9jaaBUKIYQQTYg/H9OPAz4C2gDpwFVa6wKlVAvgLa31WKVUB2Bh1UtMwPta6ydPYVtylT0hhBBNkjfH9P029BuThL4QQoimSi6tK4QQQog/kNAXQgghAoSEvhBCCBEgJPSFEEKIACGhL4QQQgQICX0hhBAiQEjoCyGEEAFCQl8IIYQIEBL6QgghRICQ0BdCCCEChIS+EEIIESAk9IUQQogAIaEvhBBCBAgJfSGEECJASOgLIYQQAUJCXwghhAgQfhv6SqmrlFLblFJupVS/Eyx3oVJql1Jqr1LqwcasUQghhGhK/Db0ga3AeGDZ8RZQShmBl4GLgG7ARKVUt8YpTwghhGhaTL4u4Hi01jsAlFInWmwAsFdrvb9q2Q+AS4HtNRdUSukGKFMIIYRoMvy5pV8XLYFD1e5nVD0mhBBCiBp82tJXSi0Gkmt56hGt9Rd1WUUtj9XaotdaH7fLQHoBhBBCBAKfhr7W+tzTXEUG0Lra/VZA1mmuUwghhGiWmnr3/lqgs1KqvVLKAlwDfOnjmoQQQgi/5Lehr5S6XCmVAQwGFimlvq96vIVS6hsArbUTuB34HtgBfKS13uarmoUQQgh/prSWw9lHj+nL30IIIURTc/QstxONXTvKb1v6QgghhKhfEvpCCCFEgJDQF0IIIQKEhL4QQggRICT0hRBCiAAhoS+EEEIECAl9IYQQIkBI6AshhBABQkJfCCGECBAS+kIIIUSAkNAXQgghAoSEvhBCCBEgJPSFEEKIACGhL4QQQgQICX0hhBAiQEjoCyGEEAHCb0NfKXWVUmqbUsqtlOp3guXSlFKpSqlNSql1jVmjEEII0ZSYfF3ACWwFxgOv12HZ0VrrvAauRwghhGjS/Db0tdY7AJRS9bI+pZSulxUJIYQQTZTfdu97QQM/KKXWK6Vu9nUxQgghhL/yaUtfKbUYSK7lqUe01l/UcTVDtdZZSqlE4Eel1E6t9bKaC2mtj9tlIL0AQgghAoFPQ19rfW49rCOr6ucRpdRCYADwh9AXQgghAp3fHtOvC6VUGGDQWpdW/ft84PHTWF+91SaEEEL4G789pq+UulwplQEMBhYppb6veryFUuqbqsWSgF+VUpuBNcAirfV3vqlYCCGE8G9KazmcffSY/omO+wv/Ie9X0yLvV9Mi71fT48175rctfSGEEELULwl9IYQQIkBI6AshhBABQkJfCCGECBAS+kIIIUSAkNAXQgghAoScsieEEEIECGnpCyGEEAFCQl8IIYQIEBL6QgghRICQ0BdCCCEChIS+EEIIESAk9AGl1Eyl1AGlVKVSar1SarivawpkSql5SqmvT7LMTqXUpTUei1dKZSqltFIqvmGrFEd5834ppXoppRYopQ4ppSqUUruUUn9RSsl3UQNQSt2mlNqilCqpuq1SSl1c7flflFIvnWQdFqVUsVKqV43HOyulSpVSZQ1Vvzixunz2agr4D5pSagIwG3gK6A2sBL5VSrXxaWHiuJRSXYA2wI81npoLbGr0gsQJ1Xi/+gK5wGTgLOBR4O/Agz4rsHnLAB4A+gD9gJ+Az5VSPb1Yx2igUGu9+egDSikL8AGwrB5rFY0g4EMfuAeYp7V+U2u9Q2t9B5AN3OrjusTxXQr8qLUuP/qAUurPQCjwnM+qEsdz7P3SWs/RWt+ptf5Fa71fa/0B8CpwhY9rbJa01l9orb/VWu/VWu/WWj8ClAKDvVjNpcAXNR77F7AF+LieShWNJKBDv2pvtS/wQ42nfgCGNH5Foo4uo9qXkFKqN57WzBTA7aOaxPFdxh9Do7pIoLBxSglcSimjUuoaIBxPj2ZdXqOAS/j95+1iYBxwZ0PUKRpWQIc+EA8YgcM1Hj8MJDd+OeJklFJJQH/gq6r7YcAC4A6tdaYvaxN/VPP9quX5PsA0PK190QCUUj2qjrvbgNeAy7XWqXV8eT88PWjLqtaVArwJTNZalzZEvaJhBXroH1VzLmJVy2PCP/wJWK21zq26/wKwQmv9qQ9rEsdX8/06pupY/yJglrx/DWoXcDYwCM/O1dtKqe51fO2lwCKttbPq/rvAq1rr1fVepWgUgR76eYCLP7bqE/lj61/4h8v4fVfxOcA0pZRTKeUEllQ9nqOUerKxixN/cBm1dO0rpc4EfgE+0FrLIL4GpLW2Vx3TX6e1fgjPYNe76/jyy/j9+zcGeLTa5+2/QFjV/Zvrs27RMEy+LsCXtNZ2pdR64Dx+PyDlPEBaHn6mqiv/HOCuag+fD1iq3e8PzAFGAXsaqzbxR8d5v1BKdcMzivwjrXVdw0fUHwMQdLKFlFIdgU7Ad9Ue7lFjsUuBR4ABgBxeawICOvSr/B8wXym1BlgBzABa4Dn2JXwnUil1do3HxgD7tdZ7jz6gtd5dfYFq5+fv1FrnNWyJopo6vV9KqbPwBP7PwFNKqWO9bFrrnMYoNJAopZ7BcwjlEBABTMKzQ3xxtcXia3nvjuAJ9CVa62Pn4Wutt9ZYfz/AXfNx0ahq++wVaa3Tals44ENfa/2hUioO+CuQAmwFxmqtD/q2soA3HNhY47GFnHgUuPCdur5fV+E5fDah6ladapjSAloynuPwyUAxntPsLtJaf19tmdrei+fwtN7fbYwixWmp7bP3KXBlbQsrrWW8mvB/SikjntbHRVrrNb6uR5yYvF9NW1WPWTbQWnpgmpdAH8gnmo444Hlgra8LEXUi71fTFgvcI4Hf/EhLXwghhAgQ0tIXQgghAoSEvhBCCBEgJPSFEEKIACGhL4QQQgQICX0hhBAiQEjoCyGEEAFCQl8IIYQIEBL6QgghRICQ0BdC1DulVIhSKkMpla6UCqrx3FtKKZdS6hpf1SdEoJLQF0LUO611BfAo0BqYefRxpdTTwHTgDq31Bz4qT4iAJdPwCiEaRNVFdzbjuapeB+BGPPPxP6q1ftyXtQkRqCT0hRANRik1DvgKWAKMAV7SWt/p26qECFwS+kKIBqWUWg/0AT4AJmn50hHCZ+SYvhCiwSilrgbOrrpbKoEvhG9JS18I0SCUUufj6dr/CnAAVwE9tNY7fFqYEAFMQl8IUe+UUgPxHMdfA1wEtAJ2AN9orS/zYWlCBDTp3hdC1CulVFdgEbAbuExrbdNa7wP+C1yqlBrq0wKFCGDS0hdC1BulVBtgBWAHhmitD1d7LgXYB2zUWkvwC+EDEvpCCCFEgJDufSGEECJASOgLIYQQAUJCXwghhAgQEvpCCCFEgJDQF0IIIQKEhL4QQggRICT0hRBCiAAhoS+EEEIECAl9IYQQIkD8P3/mr+Bz5hGcAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(\n", " nrows=3, figsize=(7.75, 10.25), \n", " sharex=True, sharey=True, \n", " gridspec_kw=dict(wspace=.05, hspace=.0)\n", ")\n", "\n", "L = 1\n", "x = np.linspace(0, L, 100)\n", "for i in range(3):\n", " p = 3 - i\n", " axes[i].plot(x, phi(x, p, L), label=\"$\\phi_p(x)$\")\n", " axes[i].plot(x, phi(x, p, L)**2, color=\"C3\") \n", " axes[i].fill(x, phi(x, p, L)**2, color=\"C3\", label=r\"$\\left\\vert\\phi_p(x)\\right\\vert^2$\", alpha=.2)\n", " axes[i].plot((0, L), (0, 0), color=\"C7\", linewidth=.5)\n", " axes[i].set_ylabel(\"p = %d\" % p, fontsize=20)\n", " axes[i].axhline(0, color=\"C7\")\n", " axes[i].grid(False)\n", " \n", "# layout\n", "axes[2].set_xlim((0, L))\n", "axes[2].set_xlabel(\"$x$\", fontsize=18)\n", "#axes[2].legend(fontsize=18)\n", "axes[2].set_xticks([0, L/4, L/2, 3*L/4, L])\n", "text = axes[2].set_xticklabels([\"0\", \"L/4\", \"L/2\", \"3L/4\", \"L\"], fontsize=14)\n", "axes[0].legend(fontsize=18, ncol=2, bbox_to_anchor=(0.5, 1), loc=\"lower center\")\n", "\n", "plt.tight_layout()\n", "plt.savefig(\"puits_infini.pdf\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":28: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n", " plt.tight_layout()\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(\n", " nrows=3, figsize=(7.75, 10.25), \n", " sharex=True, sharey=True, \n", " gridspec_kw=dict(wspace=.05, hspace=.0)\n", ")\n", "\n", "L = 1\n", "x = np.linspace(0, L, 1000)\n", "ps = [50, 10, 1]\n", "for i in range(3):\n", " p = ps[i]\n", " axes[i].plot(x, phi(x, p, L), label=\"$\\phi_p(x)$\")\n", " axes[i].plot(x, phi(x, p, L)**2, color=\"C3\") \n", " axes[i].fill(x, phi(x, p, L)**2, color=\"C3\", label=r\"$\\left\\vert\\phi_p(x)\\right\\vert^2$\", alpha=.2)\n", " axes[i].plot((0, L), (0, 0), color=\"C7\", linewidth=.5)\n", " axes[i].set_ylabel(\"p = %d\" % p, fontsize=20)\n", " axes[i].axhline(0, color=\"C7\")\n", " axes[i].grid(False)\n", " \n", "# layout\n", "axes[2].set_xlim((0, L))\n", "axes[2].set_xlabel(\"$x$\", fontsize=18)\n", "#axes[2].legend(fontsize=18)\n", "axes[2].set_xticks([0, L/4, L/2, 3*L/4, L])\n", "text = axes[2].set_xticklabels([\"0\", \"L/4\", \"L/2\", \"3L/4\", \"L\"], fontsize=14)\n", "axes[0].legend(fontsize=18, ncol=2, bbox_to_anchor=(0.5, 1), loc=\"lower center\")\n", "\n", "plt.tight_layout()\n", "plt.savefig(\"puis_infini_heigh.pdf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualisation de la densité de probabilité de présence\n", "\n", "Le module au carré de la fonction d'onde représente la densité de probabilité de présence de la particule. C'est la seule information accessible, la trajectoire n'étant pas définie en mécanique quantique du fait qu'on ne peut pas connaîter à la fois la vitesse et la position de la particule. Pour visualiser la densité de probabilité de présence, on fait l'expérience suivante : on enregistre un grand nombre de fois (`ntry` fois ici) une photo du système et on superpose l'ensemble de ces photos. Le nuage de points obtenu correspond aux positions accessibles par la particule. Plus les points sont resserrés plus la probabilité de trouver la particule à cet endroit est grande.\n", "\n", "Ici on réalise numériquement cette expérience en tirant aléatoirement des points en accord avec la densité de probabilité de présence $\\left|\\phi_p(x)\\right|^2$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(\n", " nrows=2, ncols=3, figsize=(14, 8), \n", " gridspec_kw=dict(wspace=0, hspace=.0, height_ratios=[2, 1])\n", ")\n", "\n", "[ax.grid(False) for ax in axes.flatten()]\n", "\n", "# nombre de photos\n", "ntry = 500\n", "# dimension de la boite\n", "L = 1\n", "\n", "jitter = .5\n", "x = np.linspace(0, L, 100)\n", "for i in range(3):\n", " p = i + 1\n", " \n", " # sample the density\n", " pos = np.random.uniform(0, L, ntry)\n", " rho = phi(pos, p, L)**2\n", " rnd = np.random.uniform(0, 2/L, ntry)\n", " ix = np.where(rho > rnd)\n", " pos = pos[ix]\n", "\n", " # plot\n", " axes[0, i].plot(x, phi(x, p, L)**2, color=\"C3\")\n", " axes[0, i].hist(pos, bins=20, density=True, alpha=.4, edgecolor=\"C7\")\n", " axes[1, i].scatter(pos, np.random.normal(0, jitter, ix[0].shape), color=\"C7\", s=30, alpha=.6)\n", "\n", " # layout\n", " axes[0, i].set_title(\"$p$ = %d\" % p, fontsize=18, y=1.05)\n", " axes[0, i].yaxis.set_visible(False)\n", " axes[1, i].set_ylim(-5, 5)\n", " axes[1, i].yaxis.set_visible(False)\n", " axes[1, i].set_xlim((0, L))\n", " axes[1, i].set_xticks([0, L/4, L/2, 3*L/4, L])\n", " axes[1, i].set_xlabel(\"$x$\", fontsize=18)\n", " if i > 0:\n", " axes[0, i].yaxis.set_visible(False)\n", " axes[1, i].set_xticks([L/4, L/2, 3*L/4, L])\n", " text = axes[1, i].set_xticklabels([\"L/4\", \"L/2\", \"3L/4\", \"L\"], fontsize=18)\n", " else:\n", " axes[1, i].set_xticks([0, L/4, L/2, 3*L/4, L])\n", " text = axes[1, i].set_xticklabels([\"0\", \"L/4\", \"L/2\", \"3L/4\", \"L\"], fontsize=18)\n", "\n", "fig.tight_layout()\n", "fig.savefig(\"puits_infini_density.pdf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sur la figure ci-dessus :\n", "\n", "* La courbe rouge est la densité de probabilité de présence exacte : $\\left|\\phi_p(x)\\right|^2$\n", "* L'histogramme est construit à partir de l'ensemble des positions de la particules. Les positions ont été choisies de sortes que cette histogramme correspondent à la densité de probabilité exacte.\n", "* Les points gris correspondent à la superposition des photos du système.\n", "\n", "On observe que :\n", "\n", "* le nombre de points est important au voisinage des maxima de la densité de probabilité de présence\n", "* le nombre de points est nul au voisinages des points nodaux (points où la fonction d'onde est nulle)\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib widget\n", "\n", "import ipywidgets as widgets\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def phi(x, p=1, L=1):\n", " return np.sqrt(2 / L) * np.sin(p * np.pi * x / L)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "plt.ion()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def sample(p=1, ntry=100, L=1):\n", " n = 0\n", " pos = list()\n", " while n < ntry:\n", " x = np.random.uniform(0, L)\n", " rho = phi(x, p, L)**2\n", " if rho > np.random.uniform(0, 2 / L):\n", " n += 1\n", " pos.append(x)\n", " return pos" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# initialize\n", "L = 1\n", "jitter = .5\n", "x = np.linspace(0, L, 100)\n", "nbins = 30\n", "\n", "ntry = 1\n", "p = 1\n", "pos = sample(p, ntry, L)\n", "\n", "# set up figure\n", "output = widgets.Output()\n", "\n", "with output:\n", " fig, axes = plt.subplots(\n", " nrows=2, ncols=1, figsize=(10, 6), \n", " sharex=True,\n", " gridspec_kw=dict(wspace=0, hspace=.0, height_ratios=[2, 1])\n", " )\n", " fig.canvas.toolbar_visible = False\n", " fig.canvas.header_visible = False\n", " fig.canvas.footer_visible = False\n", " fig.patch.set_facecolor(\"white\")\n", "\n", "axes[0].grid(False)\n", "axes[0].set_ylim(0, 1.2 * 2 / L)\n", "axes[0].set_title(f\"p = {p}\", fontsize=18, y=1.05)\n", "axes[0].yaxis.set_visible(False)\n", "\n", "axes[1].grid(False)\n", "axes[1].set_xlim(0, L)\n", "axes[1].yaxis.set_visible(False)\n", "axes[1].set_ylim(-5, 5)\n", "\n", "axes[1].set_xlabel(\"x\", fontsize=18)\n", "axes[1].set_xticks([0, L/4, L/2, 3*L/4, L])\n", "text = axes[1].set_xticklabels([\"0\", \"L/4\", \"L/2\", \"3L/4\", \"L\"], fontsize=18)\n", "\n", "density = axes[0].plot(x, phi(x, p, L)**2, color=\"C3\")\n", "hist, bins, patchs = axes[0].hist(pos, bins=nbins, density=True, alpha=.4, edgecolor=\"C7\", range=(0, L))\n", "scatter = axes[1].scatter(pos, np.random.normal(0, jitter, ntry), color=\"C7\", s=30, alpha=.6)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [], "source": [ "p_slider = widgets.IntSlider(value=1, min=1, max=5, step=1, description=\"p\")\n", "ntry_slider = widgets.IntSlider(value=1, min=1, max=2000, step=10, description=\"N points\")\n", "replot_btn = widgets.Button(description=\"replot\", button_style=\"\", icon=\"redo\")\n", "\n", "def update(change):\n", " \"\"\" callback function to update the plot depending on the triggered control \"\"\"\n", " if isinstance(change, widgets.Button):\n", " update_plot(p=p_slider.value, ntry=ntry_slider.value)\n", " elif change.owner == p_slider:\n", " update_plot(p=change.new, ntry=ntry_slider.value)\n", " elif change.owner == ntry_slider:\n", " update_plot(p=p_slider.value, ntry=change.new)\n", " \n", "def update_plot(p=1, ntry=1):\n", " \"\"\" update the plot according to p and ntry \"\"\"\n", " # sample the density\n", " pos = sample(p, ntry, L)\n", " \n", " axes[0].set_title(f\"p = {p}\", fontsize=18, y=1.05)\n", "\n", " density[0].set_data(x, phi(x, p, L)**2)\n", " hist, bins = np.histogram(pos, bins=nbins, density=True, range=(0, L))\n", " [patch.set_height(hist[i]) for i, patch in enumerate(patchs)]\n", " scatter.set_offsets(np.c_[pos, np.random.normal(0, jitter, ntry)])\n", " \n", "p_slider.observe(update, \"value\")\n", "ntry_slider.observe(update, \"value\")\n", "replot_btn.on_click(update)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "16d72c47736147d59ebf6f96242c97e5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "VBox(children=(HBox(children=(IntSlider(value=1, description='p', max=5, min=1), IntSlider(value=1, descriptio…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "controls = widgets.HBox([p_slider, ntry_slider, replot_btn])\n", "widgets.VBox([controls, output])" ] }, { "cell_type": "code", "execution_count": 146, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "73a3456e0c0744e88ec3860825428c5d", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=1, description='p', max=5, min=1), IntSlider(value=100, description='ntr…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# set up plot\n", "fig, axes = plt.subplots(\n", " nrows=2, ncols=1, figsize=(10.25, 7.75), \n", " sharex=True,\n", " gridspec_kw=dict(wspace=0, hspace=.0, height_ratios=[2, 1])\n", ")\n", "\n", "fig.canvas.toolbar_visible = False\n", "fig.canvas.header_visible = False\n", "fig.canvas.footer_visible = False\n", "\n", "axes[0].grid(False)\n", "axes[1].grid(False)\n", "\n", "axes[1].set_xlim(0, L)\n", "axes[1].yaxis.set_visible(False)\n", "axes[1].set_ylim(-5, 5)\n", "\n", "axes[1].set_xlabel(\"x\", fontsize=18)\n", "axes[1].set_xticks([0, L/4, L/2, 3*L/4, L])\n", "text = axes[1].set_xticklabels([\"0\", \"L/4\", \"L/2\", \"3L/4\", \"L\"], fontsize=18)\n", "\n", "# data\n", "L = 1\n", "jitter = .5\n", "x = np.linspace(0, L, 100)\n", "nbins = 30\n", "\n", "# initial plot\n", "ntry = 100\n", "p = 1\n", "pos = sample(p, ntry, L)\n", "\n", "density = axes[0].plot(x, phi(x, p, L)**2, color=\"C3\")\n", "hist, bins, patchs = axes[0].hist(pos, bins=nbins, density=True, alpha=.4, edgecolor=\"C7\", range=(0, L))\n", "scatter = axes[1].scatter(pos, np.random.normal(0, jitter, ntry), color=\"C7\", s=10)\n", "\n", "@widgets.interact(p=(1, 5, 1), ntry=(1, 1010, 10))\n", "def update(p=1, ntry=100):\n", " \"\"\"Remove old lines from plot and plot new one\"\"\"\n", " \n", " # sample the density\n", " pos = sample(p, ntry, L)\n", " \n", " axes[0].set_title(f\"p = {p}\", fontsize=18, y=1.05)\n", "\n", " density[0].set_data(x, phi(x, p, L)**2)\n", " hist, bins = np.histogram(pos, bins=nbins, density=True, range=(0, L))\n", " [patch.set_height(hist[i]) for i, patch in enumerate(patchs)]\n", " scatter.set_offsets(np.c_[pos, np.random.normal(0, jitter, ntry)])" ] } ], "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 2 }