{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "def GetSASE(CentralEnergy, dE_FWHM, dt_FWHM):\n", " h=4.135667662 #in eV*fs\n", " dE=dE_FWHM/2.355 #in eV, converts to sigma\n", " dt=dt_FWHM/2.355 #in fs, converts to sigma\n", " samples=int(40.*dt*CentralEnergy/h)\n", "\n", " EnAxis=np.linspace(0,2*CentralEnergy,num=samples)\n", " EnInput=np.zeros(samples, dtype=np.complex64)\n", " for i in range(samples):\n", " EnInput[i]=np.exp(-(EnAxis[i]-CentralEnergy)**2/2/dE**2+2*np.pi*1j*np.random.random())\n", " En_FFT=np.fft.fft(EnInput)\n", " TAxis=np.fft.fftfreq(samples,d=(2.*CentralEnergy)/samples)*h\n", " TOutput=np.exp(-TAxis**2/2/dt**2)*En_FFT\n", " EnOutput=np.fft.fft(TOutput)\n", " return EnAxis, EnOutput, TAxis, TOutput" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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jajAULhDBL34RUrvSxUXyfuAOEblFRN4EfJXutmRrQkRGROQjIvJdEblXRL5/\nXUb6OCbNlGwkZp8PZ4v/ssfPtrlsahznkn2U3JTYWegEu5WhALFxCTShFJV44nOeyMh0aSARNB2D\nW3Kp1CsEUVGUc+AASeAw4maMlFwy1zrBtTDIFIk/B1oi8lTg14Dj5DedZZsQReBUJjkwfIBGOj5Q\nTjCRXASHw2GmOgM6wXiaelhntDzKVPMCjI3l29mfOLFh720noKq/B/w8MEm+8tLPFassXQx/Atyq\nqk8EngJ89yLP97jn9FQGscOeknKhqAM78/BphhsdxK8QOAmxuzgc2usEE+NSSSIatQa79+7Gyxwk\nGmA1+gjcciGCcSGCvk8zLDM6eZrhskPqWye4FgYRwVRVDfmGtf9dVf8beULesk2IIpDKBNfsuoZG\nOrF0OLRYNi0MIXVyEayHdaaj6YGu04gac+FQzozBJZfAnj22OOYiEZGrgHPAx8gXnr9QtK31fMPA\nD6jqewBUNS3WD97RPHQ+wW15jJYzZsLcvY2fH6PWBsfx8d2EdIEb660MBYiMSymNaA43cRyHyXqb\ncnOAwrIIvJJHbbhGkHSnZ7SDkN1nHmJXxcX41gmuhUFEsCEi/xl4FfB3IuIC/sYOy7KZxDFQmuTQ\nrkNMRuMD7SKRurkIlrwSnbQz0HUacTccGpw5C1dcAfU6TA8mopYluRX4e+DvgM+SR2s+dRHnu5p8\nFZr3isg3RORdxVrBO5pHplKCjs+uckpUgU5imJwZZyjxEQkInITU6+cEe8KhmUuQJSTDeQq3MRRR\nnR5gc84YvIpHWA5x1CHqRBijxIFH/eQxdlccTGCd4FoYdD/BnwF+odjr7yrgbRs7LMtmEkVAaYID\nIweYiRtoO0PVRZYIh4YhZM7qRXA6ysOhw+Ew1bEJ2H8DGGNF8CJR1Sf1PheRp5NPbVorHvkUi19S\n1a+JyB8DbwB+q7fTTtun89R0QinxcCQh65S480RMw8yw163iOAG+my5yY727ygPE6hGYBFPN+zXr\nKbWZ5Zd5/bVPnGVve5R9ZR/HcYi8iFajhVQ9nFTxjh9jd82FHegE12OPzkH2E3wU+MOe5w9zkUl3\ny2OLOAYNJ9ldPkA9rNOoTJIkuwl6dpFYWBhjvFwEy155cCdYhENrQY3aVBsuvTRfnsaGQ9cVVf1G\nsc/mWjkJnFTVrxXPP0IugvPYaft0nplJqWQ+qhFes8rXT3aY8WJGSpcjEuBJssiNLa4OdfA1Javl\nzzs1Q7ldfuQrAAAgAElEQVS9vHj9eeNhbvFG8ct57jD1UzrNDi2t4cbA8ePUQgFX6SSGkj/QDnnb\ngvXYo3OQrZT+DfmqMZfRXTVGVXXlZQ4sjwuiCEwwwa7yLkbLo8Qj47RahQj2yQkGQVcEV+sEh8Jc\nBINWlO/d5HnWCV4kC1aOcchd3Km1nq+I+DwiItep6v3kW5zdc5HDfNwz1k4ZwsOYmGpa5e7zbRoV\n4ZKRvTiO4jkxGi4fDo2Mh68Jpp5/lDoK+8aWr44WFYIY3DDPBaZeLoITYiB24dgxHEcgcZhuKyWb\nrFoVg4RDfx/416q646vDtitRBFkwwUhphF3lXYzXJ/IQ6RI5wTAE9ZtU/eqqc4L1sE7ohpQ7KaZW\nxQkCK4IXzxDdBS1S8tzg31zkOX8Z+GvJV4o+Rl59uqO5ECfUHQ/VmFGpcbTRYaoecMU1+xE5g5CA\nq8SpEnjCXf94F8fu+CxP+LHecKiLpylpPZ/wvueRgOqF5Z1bXEoIYpg0ubrNOsEpJ+aF3qfQB48h\nqkjiMNU2XFqc2zIYg4jgGSuA25s4htSbZFcpd4In6hfozKT5ytq+37cwBrdDyStR8koDVYdGaYRR\nQ+iGiAi7Up+4ElIqla0IXjz3quqHextE5KeB/73WE6rqXcAzL3Zg24npNGPYzZ3gvnKNbzYmOXPF\nHp50+BJExlGNIXY4P5Nx+YjH137va1zrVWn9y+5Sy7Fx8Ujxh3NBO/Fcw7mJ5ecJptWEoJNyOioW\n4fZTonZEQ77Bf6y/lZknDDN07hySOkx1dl5e8GIZJHj8dRH5kIi8UkT+TfHzkxs+MsumEUWQeLkT\nrPpVvHIr37qlXAaRRbtIeB7gRXgSUvJKtNP2SpeYc4GzizvvSj065SCvDrU5wYvljX3a/vOmj2Kb\n0zIZNc9FNebaXTXGatMkrsf1l/k4ToBqgiQujUKI/OM+zeEJzh3r/v+O1MUlIxgupjlUXcrL3D5p\nphBmBJHhQpYLZ+ZnRK2IJPpePq6n785DoqnDTGRFcLUM4gSHyXewesGC9o+u/3AsW0EUQeJMsqu8\ni7Jfxiu1iafyUCjQ3UWiWDs0MxmIIY3dgcOhs0UxswzHLp3QheqwdYJrRER+lHxvzytE5E/p5uyH\nmL+MmmUdaJMx5DsYE3PjZUNMSodDx2dwHEEkwJgYSYXpQgSrF6p0bpjCebjr9GJ1cDXD25XfW27N\np9xZegeWs418gn4QKxOaf1ybwBC3YpLyWQA619Tg+HEc5/DctS2DM0h16M9twjgsW0gcQ+xMUQ/r\nlNwSbtghaXTmRHBhODTKIshCkkQGFsFW0qLid6ea1ROhVXbtPMGL4zT5AvcvLX7PfppOk2+sa1lH\nOhjqfu4Ebzo4BGfPceBcPscvd4IxTuow3TEYY6hP1ynfNMzkrd3Cl0hdXMkId+WhTb8e4i1z+5xt\nZDiRi5/CuOa5vlkRNCNnmWaEZG8Jjh3DveZ6mrEVwdUySHXo9cA7gL2qeqOIPAV4iar+7oaPzrIp\ntDoJSpYXrPhlnLBNPL2MCKYRkoX5bvQDimA7bVP2uwUCQ7HQDJ182TQbDl0TRd7uLhH5a1W1zm+D\niSSjHroYE+N7IV9730e58qanAiDiY0yMW4jg2ZNniYKIg9eMEk1mNKebVOtV4iIcWt2d77oS1kOc\n9tLLpo01MtzII4iFiSJ7ZQJD0k7AnOdUeojDow58/jjOQaFhw6GrZpCc4LvI8wuz/1J3A6/csBFZ\nNp2ZuIlPFZHc2blhh3Qmnx4BLNpFIs5ixITEMZT9weYJtpM2Za8rgrVIaYRYJ3gRiMhs4cs3ROTu\nBT/f3tLBbUNiJ2MkzJ2gSMBNx77FZTdcA3SdoJs5NCLDxJkJ2tU2jpPQ9FPu/cq9+TlwcBxD/ZJ8\nhllppEKlvXQ49NxMhpe4BInD+OxmyYGStBIcPc+j8SHioRSOHcMzDq3EiuBqGSQnWFHVr/bsVq0i\nYr91biNm4iaB5N9My14Zx++QzbTnOcEgYC4nGGURYlbnBDtpXk06SzUyHA+wInhx/Erx+8VbOood\nQuxm7Co7mDTCcYJ8U+hrchEUyQtjXOMwExsazQZxOSbL2kTDyomvnuCZP/LMuXBofXcugrXhCk67\nseQ1z7dS/MTBT10mnSK3GEDSThCaTCRPJgnuheOn8YprW1bHICJ4TkSunX0iIj8FPLpxQ7JsNs24\nSVDKRbDklZCgmTvBUoksA1VwXeaFQ53CCZYqawuHVjqGKS+DSoXuit2W1aCqp4vfD23xUHYEqWfY\nVXYxUzESGTh3DvbvB3InaEw8J0StyRZpOc0ny4+WaNyfC12CiziGkUtHABjaPYS2zy55zfF2RiUW\nUjejMbtpbghpO8WhSTPdS+q0YHycwCitZOVtmSzzGUQEfwn4C+B6ETkNPAj87IaOyrKptJImYaVw\ngn4Z8S+QNResFgPzCmNcLZxgfUARXBAOLXUSpgKTu83OYJPtLfMRkRlYcjM6u6rTOpP5GbsrwFSG\nnDgJV11VfDuEfF8BCIzmIjjRIqtkGNMm2HU52cl8JZnMgPgZ1aH8fhserRO3lg6HTnQyajEkXkrL\nKQpsQsiiDJ8WLbOPNJ2CAweoJW2aNhy6agYRQaOqP1xsrOuo6rSI2J3ltxGttEnJ6TpBvDamuWC1\nGJjLCUZphKOFExxwnmA7bXfDocYQxBkTbpznHdsrH29ZjKrWtnoMO4lcBA3jEiIPPjgXCp1FxKdM\nRjMxdCY7aFUxpkP10l24ZwqxjBStJDhOXo4xNFTiAtButilXywsvSSMxVBND4qdEXi6CEgpZO6Ps\ntIjNZWTZFHrNM6nHM7RSK4KrZZDCmI8CqOqMqs4mbz6ycUOybDbtHhEse2XU62BancUi6LqQZfOd\n4CpygnNOsNkkCX2aaZt8m/o4303CsmZE5Oki8isi8svFLhKWdUbDjJFKuigfOIvjBJQlo5Ua4ukY\navkC2qNX7KN6Lr+//A5oz8a71dClVVYmz032vWYnM5RSQ+IlxGEhgiUh62R40kJ1FHAxhw9Sj6Zp\nZ/Y+Wi1LOkEReSJwAzBcrBAj5KGXOlBa6jjL44921qTkdp2guu05EZzbQQK6IphGuHSd4MDh0Nmc\nYKNBUgmZiWdAJBfCKJqrRrWsDhH5LeCnyb+wCvBeEfmIqv7O1o5s+2CMQmgYrWSckP4iKBJQwtBK\nDcl0gtSELGux98qrODsJxhi8WMDrzhsseUK7Ao2JBvsO7lt03U5mKCWGzEtJS/lxTuhgOoZA2nhu\nDc+rk167l5GJSdrWCa6a5cKh15FXnQ0zv/qsAfziRg7Ksrm0syYVr1cEO2i7A8NL5wQ91jBPsMcJ\nppVSLoLQDYlaEVwrrwKeoqodABH5r8BdgBXBdWK8aSBx8Jyk6wSf85x5fRwnoCIprdSQTqe4dRdj\n2gyNXILKORqTDdyOAz0b74a+0CpDY7x/hWg7M4RpRuYnaCXFGMUpOSQXIjyJCJwqnjdMdnAPw6fH\nOWsjKqtmSRFU1U8AnxCRZ6vqlzdxTJZNJjJNhv1uYYxx27kohWH/cGiarxsaxwy8n2A76ckJtlqY\ncolWWlSF2uKYi+UUUAZm/4gl8j0BLevEuZkMifIl02QZJ1h2MtqZwTQM4YEQY1o4ToWZ2gxjJ8Yo\ndYCecGjJF1oVoTXZv0I6UsNImpEFKRhhvGlwSy6JiUi0RNX3cN1h0v27GJk5wcM2HLpqBimMOSoi\nvwEc7OmvqvoLGzYqy6YSmflO0EgH6bSgWl0yJ7haJ9hJO+yp7smftNtoqUQrKW58WxxzsUwD94jI\nZ4rnzwfuEJE/I79XX791Q9seXJjJcOJ8ovzSOUGfipPRNAZtKn7NJ8vyTXXb9TYXTl4gaHuI2w2H\nVgKHdgVaE0uIoFGCNMMEBqfl8fBEilt2cUxMx5SpeQ6eN0x66RAj02eJTNb3PJalGUQEPwH8I3Ab\nMPs1w05G2UbENKn6eaFh2SuTOW3c1gzUaovDoYUT9J1cBAM3IMkSjBocWbrOal44tNWCco8IlkpW\nBC+OjxU/s9ze89jeq+vAhZbBTfIl08Q4eR57eHheH5GAiptyITUQg1fxMKaF65aJd8VMnp4k7HiI\n23VrngOtitCc6P9FMtY8HGoCgxe5nJxM8UoeohGRlqgFDp5XJ/MjXDw0WnrivaU/g4hgWVV/fT0v\nKiIjwLuBG8lv0p8HHgA+BBwAHgJepqqTRf83Ar8AZMDrVfUzRfszgL8iD//cqqq/gmXVJDSp+LuA\n3Nml0sHrzEBtT3cHCcidYJET9ItwqIgQeiFRGs2bDL+QeYUx7TZUKvOdoA2HrhlV/autHsN2Z7Kd\n4aUuqhFOrItcIBTVoU5GxxQiWPYwpo3jVNBdyszpGUrtXYhjUFVEBMcRWmWlMxX1vW6shiBN0UDx\nY48zjZRLyx4OER0tMxS4eTg0nYKgjhP3rzK1LM0gUyT+TkRetM7X/RNy0Xoi8BTgPuANwG2qeh3w\nueI5InID8HLyStUXAu+Q2TXc4J3Aa1X1MHBYRF64zuPcESTSpBp0c4IpbdyoOecEw7Do2JMTDAon\nCIPNFexkPcumtdtIuWLDoeuEiLxYRL4pIhMi0ih+7Fp068h0ZPCyIicYZX1FcNYJxmqQSPDL3lw4\nVC4R2mfbVNuCGhfVbki0XVI6k/1XoozInaAGSin1ODOT4pd9HFIiDaiHRTg0nUbLozipdYKrZRAR\n/FXgb0Wksx43mIgMAz+gqu8BUNVUVaeAlwDvK7q9D/jx4vFLgQ+qalIsD3UUuFlE9gFDqnpH0e/9\nPcdYVkEqTWpBNyeYagc/moFqtf8UiSzCdwLiYkn10M2d4HLMWzGm1cKpVG04dP34Y+A1wG5VHSp+\n7Gox60gzMXjGyXOC7XQJJxhS8RIiDBILflkKt+cR7AlIziZUOoKqQ++mH60yJI3+ubwEg59kEELF\neJxrpfgVHzGGVFzqpSIcmk0h1VGcbGbD/gbblRVFUFVrquqoammdbrCrydcjfa+IfENE3iUiVeAy\nVR0r+owBlxWPL2d+pdtJ4Io+7aeKdssqSZ2uCJa9MrG2CaI8JzhPBHtygoHbdYKhF+Z7DC7DvLVD\n222cao12UgifDYdeLCeBe1TVlgZuEM3Y4GnuBJ1msoQIlqi4CTEGJ3bwq4rj5HtoVvZV0PNKtSWg\n3nwRLClZo/8/XUJeGEMANTzOd1L8ko+rhgSfkfJsOHQa6nsQ7JfJ1bLsZHlV/e5Sq0+o6jcu4ppP\nB35JVb8mIn9MEfrsObeKiE3orwNZBjffDF/96twyh4tInSa1sOsEE+0QJLkIRu0FTjBNibOYwA3n\nOcE4W3pPNFjgBNtt3GrNOsH149eBT4nI5+lueaaq+vYtHNO2opUafM2doMx04NBSTjAmweDGLkHF\noE7+f76+v87U+Wmqu0DwFoRDwZzq/3GXisFPcydYdzzG45RgOMAxhhSXkXLuBFut+3BGL4OppRfj\ntvRnucKYXyOfFP92+leYPXeN1zwJnFTVrxXPPwK8ETgjIntV9UwR6pz91zwFXNlz/P7iHKeKx73t\np/pd8JZbbpl7fOTIEY4cObLGoT/++OY34c474cIFuPTS/n0yp8lQ2M0JJtohTJt5OHSqfzg09HKB\nhLxCdKVw6LytlFotvMrQjiuMuf3227n99ts34tS/Q76IRQkIVuhrWQOt1OAjuROcbi+REwwpuwmJ\nGJzEIagoqZs7wUsOXsK5ifPUPEBcjOlxgiHIEhupJGLwkgwpCSOex0SaElZCHAyJ4zJacfCcYbJs\nGveSfUjjzo14+9ua5SbL/2Lx+8h6XrAQuUdE5DpVvR94HnBP8fMa4K3F748Xh3wS+ICIvJ083HkY\nuKNwi9MicjNwB/Bq4E/7XbNXBHcan/1s/vvcuWVE0O06Qc/J/0uU0sZcOLRfYUzo7u46wTWEQ71a\nnVbSyqvkdogTXPgF7E1vetN6nXqfqj5/vU5mWUw7VQIcNG4izQiuvHJRH8cpUfETEsfgJR5BSTGF\nE9x7cC8np04SB4rjBvPCoe0SOK3+manMMfiJwSk5jAYeD8cdwmqIq5CKx66Ki5vk1aHh6G7iky40\nGjA0tDF/iG3IIIUxG8EvA38tIneRV4f+HvAW4Pkicj/wQ8VzVPVe4MPAvcCngNep6qwzfR35VIsH\ngKOq+ulNfRePA774xfz3uXNL9zFuk9FWB8bylGzolillfXKCrgvGEKUdSl5PTnC1hTFFONQRh8Qk\ntjr04rlVRH5kqwexnWllhgAHc+40TlDJ8+MLcJyQshuTFiLohRlOIYKXXnkppajEJecF1w3niWAn\ndPDa/T+K83PlIrg79JihcIJiSB2X0WoeDk3TKWqhQyOs5RP5LQMzyDzBdUdV7wKe2eel5y3R/83A\nm/u03wk8eX1Ht704dw4uvxzOn1+6jyMz/KsX/Qhcey3cfTeBE1DpJ4Ii4DgkcS6Cs04wcIMVc4IL\nw6GUy1TSfJpEsEPCoRvI64D/V0RiYPbT1e4nuI60U0MoDnruUaQ8/8/abrYZHxvHcUJKXkI25wRT\noigPh7quS6PaZHR6BM8PUO1Wg7ZDwev0/yg2juLFuQjuqXi0JlJK1SFcUVLj4bmSrx2aTVMNHGaC\nai6CT33qxv0xthlb5QQtm8TUFBw6tLwTfMLUNNmeS+HoUYjzopeyaS2eIgHguiRJh5K/uurQeSJY\nLJZd8Yu5gjskHLpRbEAFt2UBkTEE4mDOP4pTnb9SzAd+7gM8cOgBHKdEyY3JXIOf+vihmXOCOfn0\nZsfx5xfGhA5B26cfmWtwkwy35LK35tHxUsJyiAtkJj/GdXMnOBQ6tIIyHDu2ru99u7NcdegzWGbJ\npYuoDrVsItPT8OxnL+8En3a+RfrMFxDc8224/35q+AgKQbBYBD2PJOkw4odcWMU8wbyYpkguFivG\nVGYKESyXl1dpy4qIyC7yfPncNmeq+o9bN6LtRccYSo6Djp9Fdu+a95rcl4ubSEDJi8k8g5cW4dBW\nVwTP7Z+mcmyIqsyfItEJXEqd/iJoPIOXKF7J4/K6RxKklGtlPEdJCxGcdYK10KHthzYcukqWC4f+\nIcuvO7jW6lDLJjLrBMfG+r+emYzvO5vg/OubQAx85zuMpB4zUmGXSF8nmEYdykHXCQ4SDs2LaQoR\nnA2H9jpBGw5dMyLyi8Dryauovwl8P/AV8ty6ZR2I1FB1fczEWZyr51eGes38Y7Q1nRC6LupkeJmH\n4ya4RXUogPM7z+RXHzjL/5L5TjAKXEpR/6Je4xrcRPHKHvtHPNJSSrlaxhUly2adYI0sazEUKp3A\nt05wlSxXHXpkE8dh2QDSNNeWgwfhO9/p36edtnnyGQf3aU+FpAn33MOu0GNGyuyC/iKYRlQq4cDV\noaq62An2iqAtjLlYfoU8x/4VVX2uiDwB+K9bPKZtRWQMZddBpy4gI8+a91p1okrkRbQbGcFIjIch\n9VKMaeK63SpNb9/lnJxpIuItEEGPUhRycjzm9qMRr3pW9xj1DG6xDulVox6mnOEHPvgpmuUf3yIO\nrluj5jdJPMc6wVUyUE5QRJ4sIi8Tkf9r9mejB2a5eKanoV6HPXuWDofORE2unQDviYdzy3j8OMOZ\nS9Mpkab9RTCJ5zvBlcKhcRbjOV53l4lWCyoVyn7ZOsH1oaOqbQARKanqfcD1WzymbUWMoeQIZnoc\nZ1d3rlGWZQxPD3P2irO5CLoRvjEkXkKWNeaJ4ExscI2zSARxHBIv5d995CFe3Zo/z089xY3Br/iM\nlB0QZbKVkQURmnZDqJ5Xp+o3yHyBhx+GNOX4d47z7h99N1PjUxv3h9kGrCiCInIL+fy7/0YeAv19\n8nU+LY9xpqZyERwZgcklFpefnhhnb9MgB66CAwfgxAl2d1ym3SpR1EcEPY80iaiEg68YE2VRtygG\nFjvBIGBOUS1r4ZEiJ/hx4DYR+ST5TiyWdSLGUE9baCBIpVsY05hokHgJ8WhM1Mjw3ZgAnRNBz5sv\ngl4fEXSNQ7sUMznTBMCYniyUZ3ASwS/5OI4gbY+TExlZkCBpN5DnusNU/Ab4Jp8QfPIkn/+tz3Pt\np6/lM3/6GSxLM4gT/CnyqQuPqurPA08FRjZ0VJZ1YXo63/KsUlk62th54H5O1IJ83tPBg3DiBPum\nDY+Gu+l0+jvBLI6oLMgJLhcOnZcPhMUiGIbMKapl1ajqT6jqhKreAvwX8rmzdjH5dSRBGWmew+we\nzjfVLZg8N0mn1EGHlWgKHGL8BBI/XewEk3zpNVlQGOOo0CmlpJ38Hjoz3bOYtqu4sRBU8mt6HY9H\nJlNMkCBpdx1Ez6vjkO8gkVx7GI4do/KVCkd/+ChTX7JOcDkGEcG25pNa0mIHiLPMX8bM8hhlaqor\ngq0llmUy99/PsXpRwXbFFTA2xpXnY86UR5cUwTSNqJUW5ASXCYfOywfC4sKYMLROcJ1Q1dtV9ZOq\nar9VrCMJhtHGGDo6hEj3hpi+ME2n3IE6JDNgTIegBamfkabzRbCV5Itwy4LCGAchKqVonAvjqcn8\ntTRTcMFNnDkRDCKP09MpJkjnOcHZClESh5mD19K+53uMnh/l2n97LcExu5Lecgwigl8rQi3vAr5O\nXn325Q0dlWVdmM0JLld34hw9zrGhfFd5PA/27ePG4w3GKruWdoJJTDkM5ucEs4gLF+CuuxZfY5ET\n7HRyEfSsCFoeH6RiGJl8FDNSm+cEG+cbJJUEp+aQNR2MiQjbkPpmkRNspvmqM4vCoSp0SvkaoQDn\nZvLfnUQhFdzEJazm90+Y5hvrmiDB6XGCs3MFJXGYOXCIc185xoU9F7j++69n19j8KR2W+SwrgsXm\ntW8pQi1/DrwAeE0RFrU8xhnECfonHubBWs/k3wMHuOH+Scaqw/1FsMgJ9jrB2SkSr3sdPO1pcObM\n/GsscoKdDpRK1glaHjckjmFk/DQ6XJnnBJsTTdJqilt1yVpdEcwKEezNCXaWEEFHhahkCKL5ItiK\nuyJYquQ59YrxON9O0SDFzXrDobkTlNRhat9BZu5p0DrQ4rKrLiOIAxpTdrPdpRjECd46+0BVHyyW\nPLM8DpgtjFnOCVYePsmD1d3dhmc/m+HpiLH6EiLoupgkplZasGJMGs1VoI6Pz79GXydoRXBdEZGD\nIvK84nFFROyKMetI5hjqZx/B1ErznGB7oo2pGryaR9b0MKZD2IE0UNJ0en44NOuKYO8uEi5CXIYw\nUaThcaGdi2A7NpAJXuJRquYiWMPjXCfFeBlustgJOqnD9N4DpKdKuIddHMdhctckj9z3yEb/iR63\nLCuCxULVd4rIs5brZ3lsMhsO9X0wBpJkcZ+hk4/yUG1Pt+HlLwfgXH1orjo07NEvXBeTJtTK86tD\noyxicjKPqE4tyMPPc4LGzJ3UiuD6ICL/DvjfwP8omvYDH9u6EW0/Uscw/OhDaK00zwlGExHUIBgK\n0KaHakQQGVKfReHQdpavP7owJ+giRCUoJfCsryZMvuM2ADqpIiYXwbCS3z9D4jEe9XeCsyI4dcl+\nmBqhfn3+Pai1u8Wj9z+6kX+exzWDOMHvB74iIsdF5O7i59sbPTDLxdNsQq2Wr3vd1w0mCfVz45ws\nX9Zte9rT+NirbuLcSGXpnGAaUysvXjFmYiIvMF04HWOeE4yiXPRErAiuH/8B+JfANECxRdkSG2dZ\n1oK6GbVzj2LK3jwnGE/FyJAQ1AN0xsvDobH2FcFOli+9tigniBCXHUqR8IqPd/ihj1xKY6pBO1Ek\nE/zUp1zLi9eGPY/JNEX9DD+VuXN4Xp0sm8YxwmRQJzZ7uOzyfLWabDRj+vT0Rv+JHrcMIoIvAA6R\nL8H04p4fy2OcYk46sMQ0iRMnmNpVx/RGzkT4h1d+P5SyJXOCWRJT77NizORkPtVwWSdYhEIBK4Lr\nR6Sqc39AEfFYfslDyyoRN8Yd3YOSzHOCyVSCU3cI6yHMBBjToRQpiQ9pOoXndfPtHWMIHekrgu0h\nl0umhGsf9Dk/MsM9X7yHdqKUspjyh19BUizVvCvwmDYpxs/wsu7Ht+vmTtDNHJqJ0nIuZX9QhH52\nQfu8XZFpKQYRwd9V1Yd6f4Df3eBxWdaBXhEsl/sUxxw/ztlL6/handccuAFuEPUVQXVdXKNUSt68\n6tBOEjE1BVddtYITXCCC7bRtJ8tfPF8Qkd8AKiLyfPLQ6N9u8Zi2FeIl+Pv25zvL9zhBM23w/3/2\n3jxKsqu+8/zc+9ZYM3KrrMxapVJJJZUEWhAIhIzMbmM2b3iBg9146Da48bTBY8yZGUN77LHbc+y2\nPdiebphpbA9usPEi8HhBWEIIg3ahXSqpqlRVWZlZucX+9nfnjxeZseZSm0pZ9T7n5KmIF2+LqHjx\nfd/fcu+QgV2wkXWLOPYw/biVE6yg6+3KTE91OsHunGBtLMNr7xMslnxe2N9k5vEZnEBxg3wIUaxR\nrSZTpU7YOlUClBGih+2fb9McJwjm0WNJpekTRSNMqXqy/1ENfz7tmFmLzYjgtZ1PWneZN52f00k5\nl7QmawDWcIJHjjAzkkcfIILC8AeKYCwFtjAxjGRs0nhuHjuWND2fbBbGxjZwgp432AmmzfJnwyeB\neeBx4N+SFLP9zxf0jC429Ahz126U8rucoKopzCGTbCm7KoKWH0PBQdcLSNnu5fNUMv5orxPUESyO\n5Nh1QvDslR7lEUntWA0vVOwXLxDPbMd1nwfgimGLiu6DHqF3hENNcwrPO4kWS4K578Id76VevTN5\nbdQkXOwYpi2lizVFUAjxKSFEDbhOCFFb+SNplr/jJTvDlDOm1ZMOrNEmceQI06MZTLpF0NIt5Boi\nqDRJRhgIkSyX27dx8PNfpeF5DA8nLRl9IriOE0zDoWePUipSSv0XpdSPAh8G7m8VtZ0xQghNCPGI\nECJ1lEBkQHbv3j4nSB2sYYtcKYdeyxHHTcwgRhUa6PpI1z58YrK67JtPUBeCk9uTCu3DV2epjBj4\nx7z/D2AAACAASURBVH3cIGa3PEr44I04zhEArpu0aOa8JCcYtUXQsqbw/ZMYSjKm/gIVaczk7gYg\nM56B5fP0wVwErCmCSqnfVEoVgN/pmKizoJQaUUp98iU8x5QzZMNw6JEjHC8ZGPQ7QakPDofGUpAh\nGbjXNmMANN2g4XmUSokI9oZD3dBNc4LnESHEN4UQRSHECPAQ8F+FEL93lrv9ReAp0twiAJEhye6/\nvM8JyoYkM5whN5RDrxSJokbS6lBoYBijXftYEcFBOcGljMFP/ZHGzM37qQzbMJdUh+7Sj+E/fYAg\nSObbvH6nSTjkgR5jdYyuZhjjhGEFW4VMDv8LtS//GNXSSQDyE3lkJZ0/fS02O2LM6lihQoiSECId\nl3ALsGFhzNGjHC3pmKLHCWoWQk+coOcNCIfKRAQP6EmIRmayOC0RLJXWCIeu5wT1VsgoTEM2Z8iQ\nUqoK/DDwp0qpV5OM93tGCCF2Aj9IMgap2GD1i54wUkSaIHPVvj4nqDd0sqUsuaEcZq2Q9AmGAXKA\nCAZriKAuBHVClos2GU2jVrQwlg3cQDFmzOEd3UsQLKCUYiSnITwNzAgrbu9bCIlpbufm3DchFDSW\nric0fIJgieJEEaM6eNLelM2J4K8ppVbv7VuPP33ezijlnNGZE1zLCR4pgSX6nSC6N3AWiUgKrNY0\nlK/iwWT9pocb+KtOcFA4dHUWiUEiCKkbPDs0IcQk8OPA37eWnY2D+z3gl4F4oxUvBapVFysIkJdf\n1ucEDccgN5yjMFzA8m00LUdWNRG5BrreI4KiUwTbhTG6EDRliBFq2FJSzdlYVQs/DCloZfzyMELo\nRFGr0MXREXqI5nffn+Ryr+DHRn+PhcdvgQMlMtPgVJ+hOFbEdNLxQ9divZnlVxh0J6gNWJbyMmNd\nJ1ivQ73O8UzA2EARXKMwRhPYIrmrnBTJ+Ghmw8UN1w6HbugEoS2Cue5zSdkU/xH4J+DbSqn7hRD7\ngENnsiMhxA8Bp5RSjwghbl9v3U9/+tOrj2+//XZuv33d1bcstUMvYvohGEafEzRdk/xIHjuTfKel\nzJERDlquhmmOd+0nkDE5s79Z3hASTwuxQp2MKTmWs8nWsyxGp2iERSIdDGOMIFhA1wuM1LIwFKK8\n7p/mUukNbFv6e5781v/I3ncOY9cyuNMPURx7L5ZjcTFy9913c/fdd5/VPjYjgg8JIX4X+CyJIH6U\nJO+Q8jKnszCmzwkePQp79uDGTSzZXxiD9HGbA5ygENitr01OcwhHxjEbLl7krc5dOLAwZr2cIKRO\n8CxQSv0lSVvEyvMXgB85w929DniXEOIHARsoCiH+VCnVN5F2pwhezDRfOIxmJca61wmanklxOOmz\n9UyPLDlsrYFVWMI0D3btJ5QxeXNwODQwIgqBia1LajmTrJsl9E9S90aIjbg9SwTw12+4kvL3HJbc\nbi+yc+cv8tFvHuC9T8ds+6VtWI+O4s09TunVP0PGzZyXz+ZC03vz9ZnPfOa097EZEfz3JHOUfan1\n/OskQpjyMqfXCXaJ4JEjsHcvbnwIWw5wgppHozGoMAaslhPMCYdgeBt608WPPHK5xMg1Gt3n4UUe\nOaN1jFQEzxlCiD9c52WllPrY6e5TKfUp4FOt/b8B+MQgAbyUcI++iLx8N0CXE4zjmIyXYWgsaYj3\nTA9UhoxwsApLWNbOrv1EUlEwV8YOdVeX60IQWiFWQyOrS3wJTbuJqs9Rj0cwjRhNy6+GQ2+9wubr\nT0cotzubJaXJUnCQsaVD7LhyB9GTO3Crh8gVcuixjud6WPbF6QjPhg1FUClVB35FCJFTSjU2Wj/l\n5cO64dCjR+Gyy3DjR7G1bNd2lmYhDJ9KpdtNAkQSrFY0PCcdgtI2zHqTQDlks4m+uW7X7vBCj5FM\nq1y8QwQzRgYncFBKIdKG+TPhIZLc36CUxbmq6rzkq0ODE8cQey4DII69VSfoNl1iEa+GQgMrQEU2\nlu6QyS1iWTu69hNpMXlrcE4wzoTYaOR0SUBMM99ENI/TjEfQ7AhNKxCG7ZkghIxQbn9Wyo4iMq7O\nxO4JFguXUfUeQkqJYzpUFits25GOptfLhiIohHgdSZVYAdglhHgl8G+VUh853yeXcnasWxhz5Ahc\ndhme08DWBjTL6x5zc8l4150iGHYUxtjCxStNkKm/QIBLNjt4jNK1coJSSEzNxA1dMmnD/GmjlPpv\n53n/3wS+eT6PsRUI5qZRYRL9UKrtBCsLFVyrfccX2AFxaGNqDtnsYp8TjLWYot2fEzSlgEyMjSRr\nSEIR4xU9zPAkFadEPqO6nCCA0CKU2//zna/XKRd9NE3D2HYlQbU1GHfGTUVwDTYTDv3PwNuBvwNQ\nSn2vFSZJeRkTRd0zQGQysLjYscKRI6hbbsF7ukFWHxQO9XnxRRgeTgbgXt2vaDvBLA7O0ASjs48R\ntkRwLSc4KCcI7ZBoJg2HnjFCiLsGLFZKqTe+5CdzERItzBIrG6UUSgWIVjqgtlzDs9vf2ciKiAIL\ny6yTtZexrKmu/cR6pxPsKIyRyQWWkRo5QxLImGA4wIgWCZtjkKFfBGUEA5xgvlJnuZTs25w6iN9M\n3KOf8aktpnMKDmIzIohS6pgQXRGXtKHrZY7jJMK38t9m2z0aMz2NPzWBfFrD1Lt7iCzdQslEBPfu\n7d5vJNWqE8zg4BSuQNTqRLhkswrbFrguKNU+9lpOEBIRbAQNRlMRPBt+ueOxTVIUk16j54IgIK4t\ntUQwQAgdIZJcXG2phm+3oxdRJiLyCuR3H6LmjiFld/4tNqLECapuEczoyf5ymiRjCCIZQwlMVSVu\n7IEsaFqBKOoOh+L0/3znyk3KQ0lni7HvVQQnPYhjgkxAYynNZg1iMyJ4TAhxK4BIguEfA54+r2eV\nctZ05gNhgEObmaE5NoRJDqOnj9bUTGKR9AmWSt2vhQJMkdyB2jg0c9sQ1SogsbIBUpqr42GvaN1a\ns0gA5M08Db+RFsacBUqpB3sW3SuEeOCCnMzFxrFj1Ea3o8U6cdxdGdosNwmzbTGL7ZiwMUR+//28\n6Ozq25UyY8bzGmG9e1LdotHKsWsati6IhUKOSUxZI27kEFnR5wQRa4hgxWW5lNx9GsO7CXMQHz9K\nlI1oLvc2CqfA5prlf56kGnQHMA3cQFod+rKnMx8IicasimAcw9wctZEcxgARtDSLWCR3uMPD3a+F\nEizVEkHlUs9PQK2GjCx0OzlAb15wrbFDAQpWgZpfS0XwLBBCjHT8jQkh3g6kM8ufC55/nsr4bnQl\nu/KBAE7FIcp0jF2WBb82hDV5kllnT9duwkiBGTOS6w+HDlktJ6hLbF0SS4U5bmLpdajn0HJafzhU\nBAi3fxSYbNmnPCRb62jorkHw3APEuRinnE6nNIjNVIfOAz/1EpxLyjlkXSe4sACFAk0ZrekEQxJB\n6neCCrP1tbGUwymtAIZBzrPRLBcocqVxhPjrh+HH3wRs7ATrfj0VwbPjYdpVnCFwFPjQBTubi4nn\nn2d5ZAeGEn1O0Ck7xNmOQXUy4C5MULgKnqu/oms35WYMgUTXRF9hTMlObirzhkbGEMRSkdmWwTQa\nUMuiFRIRXBk/FAARIZx+EcyVQ57f0/5ZN8MCwcyjkNuHV06vr0Fs6ASFEPuEEF8VQiwIIeaFEH8n\nhLj8pTi5lDOnt7WhKyc4MwNTUzT8BroaLIJ+5JPL9TvBgHg1J2jFDq7IQD5PwbFaIgg/FXyB0fe9\nGR5OJgJd1wmaBWpe6gTPBqXUXqXUZa2//Uqptyil7r3Q53VR8OyziQiSOMEoEHzu1s8RBiF+xadz\n7HmRFbgzO1n6vY/zUOPWrt0sNiKEv+LQup3gcEsEh60VEYwpTBYw7AaikkPP62haZrW3MJkgJERz\n+3v+cmVYGmqLoCFH8OeehhyE9TRNPIjNhEO/CHwZmASmSEam+IvzeVIpZ8+6TnBmBiYnqXpVTFXs\nD4fqFn7kMzTU7wR9Ea0Om2bGLo6ywbKwPBNpJgew9Va+46FkYKHUCZ5fhBAZIcTHhRB/I4T4ayHE\nfxBC2BtvmbIhzz7L0tAkJpI49vEqiiv+9Qoe/sbDiQjm26vKnCRqxETfej0No3uszqVmjPQTsesV\nwdFcsnwyr2MbEqUpSlMl9EwDrZLDyBlIaXeIYARCoPkDnGBFUu4UwewkweJhZE4SNlIRHMRmRDCj\nlPozpVTQ+vtzkgq0s6J3vrJWPuPrQojnhBD/3DNzxa8KIQ4JIZ4RQry1Y/lNQojHW6/9/tme08VE\nrwh25QRPnoTJScpuGTMeGugEvSgZC7TXCfrEq8OmWZGDQyYRQd9EWknOYVQsEWXzsLQEtKZSWs8J\n+rV0dvmz40+Ba4A/AP5P4CDwZxf0jC4WnnmG5fwEZssJKlejYTU4cu8R/GUffaQtOFpOI2pEGIGG\n2/MLudyM0IJOJ9gujBnNJiI4VTDIGAIlFcOTBYQeoNdtrKLVEsHk+kq21dGD/mxWtmFQyXeEQ4f2\nEDSm0bIaUTPqWz9lcyL4Dy0R2tv6+5XWspHW/GVnSu98ZZ8Evq6UuhL4Rus5QohrgPeRXORvB/5I\ntPs1/hj4kFJqP7C/VRCQQn9hTJ8TnJqi4lUw4tLAwpg1nSAhlkguMiNyaKpEBE3PRBjJAYbVEs6O\nK1ZFcL0+wYJVaDvBtFn+TDmolPqQUuoupdS/KKV+jkQIU86GZhNOnWLZHsYSiRPENZi5cYb6M3Wi\npQhzpGNapbyOaiqMUMOzuwfaWXZitDARu95JdV+5M9nHLZfZ5EyB0mJGd1hQz5OrS3LjuR4nmPQq\nDhLBXMOiWmj3Dxqj+/BFBcMC1bjkB/8ZyGZE8H0ks1Xf1fr7d61lDwG9pdmbYo35yt4FfKH1+AvA\nypyF7wb+ouVCjwLPA69pTR1TUErd31rvTzu2ueTZMCc4OUnFraCHg52gH/kMD8NIz22OR7iaEzQ7\nRNBwDdBdnMAhpz9JY3L/ane+Fw2eSgmScGiaEzxrHhZCvHbliRDiFtJB7s+eQ4dg3z5cBaaQRJGL\n5lkMvXUIXgAqYI+1v8tGzoAmGIGB1zNedcWN0KPBOcG8LYm+7w3sHtHJtMKhdjZA1QqMLRkUJ4pI\nmekSQSlMjLD7wo2iiLxjUym0f9YNazvBzgJ5z0E5qQgOYkMR7Em69/6daYHMoPnKJpRSc63Hc8BE\n6/EUcKJjvRMk7Rq9y6dby1PYIBzaEsGyW0aP1giHhh6f/Sy84x3dr3lEq05QD12asY0yTbSWCD46\n+yiWeIrKtsu7neA64dA0J3jWvAr4thDiRSHEUeBfgVe1UgWPXdhT28I8+yxcdRVuHGNLSb2yhPBM\nDrzlAPnpPLKcuLQVzIIJTdBjDS/bPRVjxY0xosE5wTCs4fvHAciYAqUpgmCJ0MkxOZ9jZPtIlxOM\nYx8hDfSw2wkuzy/jmj6h2RY70xwnmLQpOnXoGckpJWEz1aE/JoQoth7/L63E+41nesDO+cpYY9Zq\nlZQ/pbctZ8G6hTGtnGDFq6CHpdWJ3VcwNZMgDtizR3XqFQCuCjGVBKUwQodGnEGZFnagEyiH49Xj\njDqK54estghuUBiT9gmeNW8HLgfeANzeevwDwDtJIiwpZ8Izz8CBA7hxjCUllcUFwkjjypuuZHh5\nGGvRojjRbse0ChZaVSOUEZjdP19VP0quG/pzgocOfZTvfjfpK8yaAvSYKKoS+ImdHJ0a7csJSpk4\nwThui+3SzBKNbJNYby8zjHH8EY1CtQxpm+BANjNizP+qlPpLIcTrgTcB/wfwJ8Crz/CYg+Yr+zNg\nTgixXSk12wp1nmqtPw10Dr+wk8QBTrcedy6fHnTAS2Xyz04G5QR7WyTKj5fRgmv6nKAQAkMa+JHf\nFq8Wq+FQ3yeWOm6gEekWmcjHDV2mq9P8gAOP5Gv84GacYGdOsHZxj214LiYAHUQrTZByrnn2WXjb\n2/D9mIyWOMFYSSzbYnF0kR0ndzC1vz0+qF20MWsmge6DbhDHCtkaF7Tqx6uDTPQ6wWbzmdXHeUuC\npoiiOkGQXCdDI0PU6905QSkNIi3C9/zVWSyWZ5dxcx5KbwuwYYwT5EOGl+aRbtrZNojNiOBKSdEP\nAf9VKfU1IcSvn+kB15iv7ANCiP8EfBD47da/f9va5A7gi62JfXcA+4H7lVJKCFEVQrwGuB/4AEl1\nXB8X++Sf8/PJWJ3bOgaIX9MJKgWzs4kTfLCCDPrDodDOC/aJoAowkOA4hEYGx4FIs8gFEW7ocnLx\nKHYIj2TnTt8JLiycq4/kZcm5mAA05SXk2WfhYx/DezzG1gROtUIUJz+ZzjYH5mDn/vZ9uF2wses2\noR5CKKi6MaVW5Wc9iLBYcYLdhTGilV5QSmHqAgR4fpWylSUsJeN9duYEV5r2Az3AqTurIlidq+IX\nfFSPEwzMJvn5WTTVP+B2yuYKY6aFEP+FpBjm71v9R5vZbrOs3Lb8FvAWIcRzwBtbz1FKPUXSp/gU\n8A/AR1rhUoCPkBTXHAKeV0r94zk8ry3Dxz4Gn/pU97LewpjVnODyciJCmQwVt4L0+6tDod0r2ItD\ngIkGrkts2jSbEEqTTKzjhi7lmcNUbYuTpgtLSyil0pxgytZDqdWcYEBMVpd49RpxawYV7RaNpeIS\nmtYWluxQlkK9gG/5EEiWG20xqgcxNoOdYBQ1W/+2IiGhwPFrHJ3azl//7gGAvupQKQ1CPcRttBN9\njfkGcTECo1MER4hwyMwfQ/NSERzEZpzgj5PkHH5HKVVuhSp/eYNtNkXnfGVKqSXgzWus95vAbw5Y\n/hBw3bk4l61KowFf/SpMTHQvX6swRk2fREwlIZyyWybrre0EvahflNw4wFCJE4ytDI0GBJpFNm7i\nBA612WPU7TyLsg5xTNioIYVEk60LcK3q0LRPMOVlRHziBDKXg1IJn2kymiRoNlAt1/aBP/kAwR8E\nXdtki1nM0CSwAmQgqbgdIhhGZOTg6tAgSCIgYVhF14sQCTy/jqOyWPnkIpbSJoraOUEhDAIj6BJB\nZ8FBDCvQFGGkWkO0SXRjBJWvYw0YcDtlc9WhDaXUV5RSh1rPZ5RS/3z+Ty1lM3z723DjjUk67dix\n9vJeEdR10DSIjidFMQAVr4Lw1nCC2mAn6KogSfA7DspKnKAvLHJI3NClsjxLbBZoqmryA7Iw1x1S\ndd32JIf05ARTEUx5GfCtr3yLe3a/gHtZ0moZopLJbh2HWCYXi5RJbrCTfCkZPia0Q0QoqTptEWzG\nMVnZ6QTbAhqGyQS8K05QhBIvqOLE2dW5BvuqQ4VJaHQ7QX/RRxuWq6HYFQxjHP9gCXvAJLwp5zas\nmXIBOHYM9u2Dm26CxzqK4XsLYyAxYMGxk7Aj6SQpu2WUu44TDPtFqYmPjlydsbfRAB+LLJJm0MSt\nLaOMIk5cgXwev7rcDoVCnxMsWkXKbjltlk952XDoK4cAOKJfDUAgk3Bo7LkI3Vxzu0KpACTzCmqh\npOq1hciJI7Jaf04wjkPi2MM0t7fDoZHAD+o04wzWqghm+gtj9AjPaV+jYSVEH9IhkNQ6BNg0x4mv\nKmF5/WONpqQiuOU5fhx27Up0bWamvbw3JwiJzsTHpmHHDpRSVNwKOIOd4EphTCdKKZw4SFIOQYAw\nDRoN8LDII5ipzzBCBqw8LhXIZgnqlbYTVCpxex1OcNgeZtldRqXh0JSXC09AkD3GtJ9UmoUiJm9K\nVOAjjLWFJJNPLrjYTEaHqXWKoIrJ6/05wTh2kDLbNWmuiAVhWKMZ5zC1FRHUW+uHq+HQyIjwmu1r\nRtUVRsFA9IRiDWMb6qph9DAVwUGkIrjFOX4cdu+Gqamk/W+F3nAoJAYsnj65OmSardtEvrXpwhgv\n8kCTyFhBECBNg2YTPGWSRfJi5UW2a0Ng5fGoQC5HWK20naDnJbk/2f7aZYwMUkg8nVQEU14WZOey\nDOWfoeInPYChjMkaEhEGaGZmze3kyvdagBbLLhF0icgb/TnBOG6iaYkIhmEigjKSRFGdpspgabJj\n/0mvYBwHCGESmzF+s+MabYA1ZCEjSc3tbpOILxtCKI0wSAfR7iUVwS3OihPcrAiKk4kTnG/MM54b\nJwzZVGHMnzz4Jzww/QCaYUEUJU7QSpygE1sUMHl87nHGtQLCzhMJhziXJex0gj2h0BWG7WHqBKkI\nprwsKJaLTHqP4zaSHF8kYwqWRMQBup3dYGtAAz2S1P22CHrEFIy2E1yZWT6Kmv1OMBJEcR1HZbC0\n9ngiUlrJIN7KR0qjTwRFUyQi2BOKNc1xwgkLiUe90jE7fQqQiuCWZ0UEJye7RXBQTtCyQM5Mw9QU\n8815xrPjBAF9I8ZAf2HMH9z3B/z3J/47mmGuiqBmJU7QiS1GKDDXmGNc5MHOoscFQsskrFe7neAg\nEcwMUxVeKoIpF5zyQhmpJCX/EFolEcFYj8mZAhlHmNncBnsAlVXoqlsEfRExZK2IoDHACeaIolZP\nYCyIoxoNlV0NhwJIaRLH/mo4NDZiArddYCObkkwpg4wkDa+nMCYXoOHSODF7Fp/OxUkqglsYpU7f\nCeqnTnY5wSBYxwm2CmNqXo1nFp7hW8e+hW5YEIZJONRuO8GSSH4wxkQOMhn0aAjfNohrtU05wbJy\nUhFMueCcOHQCN7eMceUYhUqr0EWLKdoSjQg7V1x3e9dwMa4yMOJuEQxkTNHqD4euOMHOwhcZS5Rq\n0MDG0tsiKISJUn4rHGqgTEXgtEVQb+pkhjJoUXco1jDGCYIFYs0jeKw9Ok1KQiqCW5hGcuNIoTBY\nBHsLY3JWiL50CrZv73KCGxXGPDL7COO5cR4/9TjbipOrTlBaBmEIdd+kICXD9jDDZMC20cMhPEsj\nbtTWbJRfYSQzQkW5qQimXHBOHT6FtKqY1+/HCiychkOsx+QtiS4iMsWhdbd/7exref8fvx8DSSPs\nEEEtYsgeXBijadmusUFlLBBxjabKYuuDnKCPlCZYEDbbOT7DMcgP59FiQSPoDIduIwhOEZg+0ZMv\nnP2HdJGRiuAWZmEBxsaSxxMTyfOwdU0McoLb5SmC4igYRuIE1xHBzsKYx+Ye491XvZsDYwf40eve\nl4hgGCJ0nWwWlpsWtvTYP7qfEhZkM8igiGtJ4kZjzWmUVhjODFOOm6kIplxwarM1sqKGvO5aarka\np46fQumJE9SlIl8cXnf7oZEhNE3DQlIP2pPYhnpMye4fQLudE+xwgkogaNBQNpbe/olecYIr4VBM\nCN22CJqeSWGkgB5LmkFPONSfx7NDxLMdzcQpQCqCW5pOEdR1GBpKRkWDwSI4GU/jjiSjxcw3NxEO\nbRXGLDvLTOQmeOojT7F79PJVJ4hhkMvBYt3CxuM9V72HncYoMptBBkM0DQGN+mo4tDbvEuiDw6GL\ncT3tE0y54DiLDgW/CgcP0iw0mT8xj9IVeVOhaRGF0uim9mOjUesQokiPGM4OcoLNPieoxRKhGjRF\nb2FM4gRXwqFYEDptEbRci+JIEb0nFGsYiRN0cxHa4VOkdJOK4BamUwQheby4mGiU7/ebru3xSZql\npFF+o3BoZ2FM1atSsAoIIZJhZ1o5QQyDbDYRQROPX73tV9lpjCKyGYQ3RNMAGg0szWJ6Gn7sXS5P\nHxksgktRI3WCKRccf9mn0FyGgwfxSz7l6TKYMXG9SmR56MbGhTEAOalRD9tOMDZiRrIrTlADYpSK\nW04w05UT1JRC4uAIqysc2ukEpTQRpiBu5f7iOMb2bQrDBQwlccLOFolR4tjFGXcxji+d7Ud00ZGK\n4BZmkAguLEC1muQJZc//7kQ0TX2o5QQ3URizIoI1v0bRahUEaFqfEzxVtTBVS8BcF5mzwc/TMAU0\nm1i6xf33ww0HXOZrdlfuEpJw6GJcT0Uw5YIj5lysqAo7dxKVIsonayAV3nKZ2HaRcnMN5zlN0og6\nRNCMGMmtOEHRcoPRQCeYwSPGJhYC2xicExTCQNiCyE2OUa/UCfQAwzSSfGSHCxVCYNt7ifYsIxoq\n+YFIWSUVwS3MeiJYHFDEts2fplbYnBPsrA6telUKZlIph653iWA2C0t1E0O1QpmOg5bLoLw8DUMh\nGk0szeKxx+DgPpfSdps77ug+1lh2jJlgKRXBlAuOfdLBH9dBCBiB6kwTAkl1oQK2h5T9kYxB5DWN\npkoEKo4V2BFjuc78XhISHVQdmhE+kbJRUq1bHSptueoEa8s1XCvZ3kDiRN0z29v2XvSJBepjE/DU\nU2f+AV2EpCK4hVlc7BbB0dH1RXDEO0kl3xLBxjzbcts2FQ7dyAl6WBhxS8AcBy2fIXbz1PUY0XSw\ndZvvfQ/27XAZmrC5//7uY23Pb2faW0hFMOWCk5mPCXYkyXR9XMc7FSICSX2hjrL8TYtg0WiLYNNX\noARZq1cEgy4nuDJLhE1ASEsE+3KCQTscagni1vBotaUavp1cryYSJ+wXQWN8kerwGDz55Bl+Ohcn\nqQhuYdZygpVKUiTTy6hzguXMFEqp1cKYMBzcLN9ZGLOSEwT6coIrIqhHnSJoE7sFqnqEcJrkjByP\nPw57JlyGt9vcd1/3sbbntzPtzEEcJwKbknKBsCsa0eVJ8Ys1bhEtxYhQUJ+vI6xg0+HQgqnhkgjR\nYj0Cr/undqVhfmnpH6jVHu52gtInUhaxFmMZg3KCSThUszVUa3i0+lKdwE4qTk0hcAc4QWN0kWph\nKBXBHlIR3MIsLCTub4X1wqF3HbmLYv1pFvJ7aQQNpJBk9OymWiSqXnVNJ/jOd8Lr39idE9QLGSIn\nT0UPkU2HnJljZgZGci6lSZujR7vTEpP5SWYas+l0SikXHKthIq9OZovPTmQRZYEIJc6igzB9pFx7\n7NBOhkwNTyQ3dIvNGOl3T2i7Eg4tFm9hePjNXTlBW/iEygKpyAzICa6EQzVbQ/mJCDbKDYJMIoKW\nGBwONYaXqOYK8L3vncEnc/GSiuAWZrMiGKuYj37t5xmpzDCX2bvaIxhFSfFMbwEN9BTGeLU1CIeK\nOQAAIABJREFUc4If/jD8+m+byKCdEzQKGcJmnooMkI6HKXKEIVixi5a1ueYaeOKJ9rFKdgk3dFGp\nCKZcSJRC9zLoN14FwNDUEGbFQIYSb9lDWj6atrnq0JIt8WVLBBsRMuh1gokIxnFSbNPZJ2iLgFBZ\na+YEV/oEdVuHlQBMxSHKJsezhMRTA0SwuEDVziUiqBQpCakIbmHKZRgZaT9fKxx634n7iE9OU8kI\n6lFmwx5B6C+M6XKCHeFQoNvBOQ5GMRHBZc1Hdzzw84yOgvCSZvlrr+0WQSEE2/PbiQ09FcGUC8eL\nLxKSp3hgLwClyRKZmokWSYJygDA8pNzEANrASEbD1xJRWmhE6MEgJxgQxx5SWn1OMIhtlKZ6WiSM\nrhFj9IwOrXtPt+Kisomw2VLixr0iuAc9t4Cn9ORGdnr6tD+ei5VUBLcwy8tQKrWfb9sGc3P9TvB4\n9Tjvtl7JkaGYhudsOFoM9BfGdOUEO5wgkEyPtNLo7rroeZvYzbMkPQzHI3ZzSe7SHSyCkIREQ0NL\nG+ZTLhyPPkpInpGJ5M5ybOcY+VoyFmdUDhF6gKZtTgSHMxqhvhIOjTCD7sT7Sk4wjj2EsHpygh6B\nMkGqrpyglN3VoZ1O0K/40Do1W5P4PU7PMLYhNB8ReHD99fDoo6f98VyspCK4hSmXu0VwZfzQarXb\nCc7UZrimnmFmpMhM9OTmnWDkEUQBQRSQ0Vu5kBUR7KyoMc1EFAEcB5HNYKg8S7GL5oeEzsYiuD2/\nnUCXqRNMuWD49z+MQqxOjju+Y5xCM4Megmj6EBsIsbmfzNGcRmQkbmzJiTDjwTnBQU7QEj5BbIGm\nuvoEheieRcLIGgg/ed2v+oh88jijSfyecKgQAhWMo9uLqQj2kIrgFiWOoV7vFrvt22F+HpaWup3g\nTH2GvUsx5bEp5uNnOdU4taETXMkJrrhAIVoXY09OEEj+9ds5QTIZTPIsKQfDj/Drm3OCfjqxbsoF\nxL3/STyruTo5rmVbNC2fQjNGOgGozbVHAIzlNCIzcYJlN8JaQwSVWhFBi7jVZmRLH18lIpg1OyfV\n7R4xxsgYSD95PayHyELy2NYkPt0iCEA8gZldTkWwh1QEtyjVKuTz3UUthpEUyvzoV36Cd37xJ1fb\nDWbqM+yarlHecQXL4gWOlo+yt7R3/XBoqzq0Kx8Ig3OCPeFQbBuLPIuqiRFEeLV8lwhOTSWbn+oY\nxnB7fjuuxqoIfuIT8LnPnZvPKiVlM6gnXqSZc7qW1Qoew1UfIwwRYnOVoQDbChrKaomgH5GhXwTj\nuDcnmHz3Lenhx1YyOa/s3GalOjRpkTCz5qoIRrUIrZAcI6OLgSIoxSRmcQle+cpUBDtIRXCL0hsK\nXWHnVMxNp/6BbS/eD9/6FpCEQ8ePnsK97AYq2gscXj7M5cOXbyoc2lUZCoNzgobRDod6HlgWliiw\nqOqYQUyzkkuqWFsiKARce213u9L2/HYcLQbP47774C//Ej75STh69Kw/qpSUjVlaIqrGNIpB1+J6\nPqBYD7BChdxkZSjASE6CGRNGimowWATb4VAbIax2daj0cWMTQoGU/TnB1XCobaxWnaq6wigk12NW\nH+wEDX0nxtASXHklzMxw/KGnOPzE4U2/p4uVVAS3KL1FMSvcNPQ8i2qEU+/6OfjylwFYqMyQOzaL\necXrqOmJCO4b3rdmozy0C2MaQYOc2XHxb1QY4/tgWdgyTzmuo8WK5qLd5QSBvpDoZGGSpgzB8/jc\n5+AXfgF++qfh858/yw8qJWUzPPootZ37CPNh1+JGIWaoHmDFatODZwPomgBfslCPqAUROdkrgkYr\nHOojhNnjBH1cZUAkerZp5wSlNLFyFtpK1WkTzKIJwJClrbZndGLZuzFKS8k1fO21PPymx3jo9oc2\n/Z4uVlIR3KKs5QR3zDzIg7yKXR9/H3zlKxCG2EdPEE9NsmP8IA37OY5VjrGntGdTLRLNoEnW6KiI\nG5QT7CyM8TwwTSzdIibG1SFYMJJWjnVEcHt+O3WRiOC998Jb3gLvex989atn/1mlnB5CiF1CiLuE\nEE8KIZ4QQnzsQp/TeefRRymP7yAudDuoekFQrAVkhMCy1p9VvhfhaSzUY2pRRF5bywkm7Q5S6oAi\njkMs6eIoq08E29WhSTjUztqrIigaAnsoubY62zM6yeb2oJfKALgHXkmhOkqxUmT+5Pxpva+LjVQE\ntyjlMgwPmN/z+yeewrrxWoyrLofdu4n+5Rvc9HQFeett7ChOEZjzeJGHrdubKoxxAqddGQqDc4K6\nniwLw6QJV9OwLUFGy+NqEFW0pFBnAxGs4VNf9DhxInn95pvhyJGk9zHlJSUA/oNS6iBwC/BRIcTV\nF/iczi+PPMLy0Dj06FyzIBldCsH2MDrTAptA8zUWGhGNOKKor1UYkzhBACltlPIwpY+rTMQ6TlAI\nAytrobdaL2RTrorgcEYj1PrDofmhXcihZKimI5k9xNljzO6Z5al7L+0BtVMR3KKs5QRff2CBd/3c\ntuTJ+99P+Nk/5L2HNOR73kM2I7ni3rv49Bs+DbCpwpg+JzgoHCpE8rjRSBrnhcCyYNjchmOAqkjy\nebpE8ODBRARX2pkmchPU8Tj0pMNNNyW6ahjw+tfDXXed/eeVsnmUUrNKqUdbj+vA08DUhT2r88yD\nD7KYKyGHun8SGwWNydkIr1hBys2HQwF0X+NULcIhomiu1SzfmiAXWhWiLqZohUPjwU4wCYca2Dl7\nVQQ1RyMzlNysjmQ1QqPfCQ6N7EUOJU7whDHGkJoh2Bdw8oGTfeteSqQiuEVZSwS7RtX+8IeRDz3M\n1acUvPWtWBYY07fza7f/GrC+CK4Uxjihs3E4FJLH9XoSGiXRwh32lbg6RNW4TwTHxiCbhRMnks0t\n3SIyDV54YYkbb2zv9k1vgm984ww+oJRzghBiL3ADcN/6a25hKhU4fpyqtNFL3UnyRsFk13EDf2wZ\nXT+9cKgV6MzUQhwiSj0iKOVKTjDJ7yXLkjYJU7o4ykTEg51gEg41sbM2epicr+7qZIeS63Q8327P\n6CRfnIKsg+81mQttit4s2b0azReap/W+LjZSEdyirFUYw/w8jI8njzMZHr/jc/zYb7wS8nlsO9Gh\nFTYzYkwzaG4cDoVE/Or1RP1I/pkw9iUi2HD7RBD6Q6J6JsfJmVMcPNhelorghUMIkQf+CvjFliO8\nOHnwQbjhBqKqwhw2u16q50x2z+SJx6vo+qALbm0ykc5sI8ATESVrvXDoihO0iWMXS3q4GH0imDjB\nYDUcmslnMMPkfE3XJDecONXxnCQeIIKapqMqQ5SXjuDNhIRjAVNGE60xz/Hjv4u6RMcTXaM2MOXl\nTrkM+/Z1L7vj2Tu4ffoIxY75lU4VJbmh5PnpiOCahTGDwqEw0AmO64kIxg1nXRH8gR9InlvZAouz\ns9x8TXu3112XvNdjx2D37k1/PClniUh+mb8C/LlS6m8HrfPpT3969fHtt9/O7bff/pKc2znnvvvg\n1a+G74A90t0QXyllgBA51kDXByTh1yGndOaaIZ4WUbLXKoxph0OTNgkPQ/o4whiYE+wMh1oZC6EE\nnutheRaFUpKzHC9oYEfEsepqsQCIy0NUyy+iZhXh/iw7nFPUb7mHF164m6Gh76NYfNVpvccLzd13\n383dd999VvtIRXCL0lsY873Z7/Fzd/wcT8wtoBUzrGQvlpwlRjLJWIi23T0gy6YLY4weJ9g7bBq0\nnWCHCB603kZkGkRLazvBe+5p78LODdFonOKaDhGUEt74RviXf4Gf+ZnNfz4pZ45Ihgf6PPCUUuo/\nr7Vepwhuae6/H37qp5Bfr5Md7R4b9NTkGDCLNRmcthMsCoMlL8Q3QiYLvWOH6i1X53eEQxMnaAgX\nV5qIoN8JtgtjTKSUeKZHrVzD8iyKI0m4NmtJiARVN6aU7RbfuFakUT2BOW8jf2gXk4fu49gbXqBY\nvJVK5Z4tJ4K9N1+f+cxnTnsfaTh0i9KbE/zsA5/lYzf/AiMOfGnmztXlS84SI3YigpZ1GuHQtQpj\nNsoJdoRDR7mKm6/4PuJNhkOlPkIuu9g3IXAaEn3JuRV4P/D9QohHWn9vv9AndV5QatUJ6nWdwnh3\nBaijC/7fjwdMvXLotEVwSNNZCkICO2TX8CARDFdDm9DOCerCw5MGUg3KCXqrLRIAnuWxNLuEVBI7\n2762hKcxX+uvEA1rBVznJLmlHLk3Xo/17L8iJ+Yo5n6EWu3S7Bl8yUVwrR4kIcSIEOLrQojnhBD/\nLIQodWzzq0KIQ0KIZ4QQb+1YfpMQ4vHWa7//Ur+XC0mnCPqRz1899Vf87N73EmUz3HXy3tX1lp3l\nLifYKYJhuHFhzMBw6Ho5wQ4n6HkQmzYZ4SaLe0Twmmvg6afbk8kH0Qj5/GLfubzpTYkTvERTFi85\nSql7lVJSKXW9UuqG1t8/XujzOi9MTydfwD17MBsmxfHu4peAGHXLtWi6c9oiOGLolKOQKBuwZ2St\nWST6naAuPVxNXyMn2A6HAviWz8KxBVzTXR3zFEC22jN6CesFPGeWQq3AxO2vxitWiObHWJ4ZxnGe\nP633d7FwIZzgWj1InwS+rpS6EvhG6zlCiGuA9wHXAG8H/kisjubMHwMfUkrtB/ZftHerA+gsjLnz\n8J1cPX41O3wLNTbKIzOPrK635CwxnEniprqedDOs9LUHwcYjxjjhgD7BQU5wDREMdZuS3VLeHhEs\nFGBiAg63Rm5ymmNYernvXC6/PBHAI0dO4wNKSdkM99+f5AOFwG7alLZ1C51PTFaXBMEChjG6xk4G\nM2rrlPHBUGwvrlUY0+0ElfLQhYun94tgb58gQGAHLB9bxrO7B57XAsl8fYAIunnc2iyhHpIbyuPf\nciVxpcjiCxaO88Jpvb+LhZdcBNfoQdoBvAv4Qmu1LwDvaT1+N/AXSqlAKXUUeB54jRBiEigope5v\nrfenHdtc9HQ6wc8+8Fk+8IoPwMIC5rYpDi8fphkkZc9LbjsnCMmg2/VWnd9mcoKnXRjTEQ71PAg0\nm5LlJCrWGle0k86QaHl5AsFy37kIAbfdtjoUakrKueM734HXvIY4jsk6WYxidyw+EDEZXeL7JzHN\n02uVnMjoLJkuoqn3Fai0c4JBX3WoJjw8oz8cmohku0UCIMpEVI9X8a3ueTj1QGO5OVgEg+YCtWIN\nAO+6HegVm+XnFEp5hGHltN7jxcAFzQn29CBNKKXmWi/NAROtx1PAiY7NTpCIZu/y6dbyS4LlsuJz\nz/0GP/LlH+HJU0/ys9f/LFSryFKJA2MHeGzuMaC7MAYS4ay0vufriaChGacngms4wUDaFE03GVNU\n17unvaBbBOfmxjCjgCVnqe98brsN7r23b3FKytnxrW/Bbbfh1B2UUEw8/BAf/HK7eTwUipwBvj+L\nZU2e1q53DRk0RpvoTn+4JZlFwkUIfXWaspWcoCY8fM0cIIJJTrAzHBplItxZl9DuHvPUiDSW3QEi\n6BcgLuMOJdEZ/6pRMgsS55iLZe3CdY+f1nu8GLhgItjqQfoKSQ9SrfM1lTSspBmgNQhDaF7537jj\n+b/kvQfey3c+9B0s3YJaDQoFrh6/mmcXngVgvjHPWLbdMjE0lLhIWF8EpZAY0qDiVbqrQ6VMrJnn\nbcoJejKTiKDndYVCV1gRQc+DY7M224xhnprvH8bp1a9O2rlSUs4ZjQY8/ji85jUszi7SyHpgKu6s\ntm/CQhFTMubR9RJSWuvsrJ9X7bIhF5Fr9m8nhEEUNVddILSdoMTFp18EO1skVrZTtiI6FRFmukXQ\njDSWnH4RjEQeXasTjCQ5EX/SpnCyiToeYZpT+P7Mab3Hi4EL0iLR0YP0Zx09SHNCiO1KqdlWqHNl\ntrlpYFfH5jtJHOB063Hn8ulBx7to+plaVCqg3fgFfuONv8E7rnxH+4VaDfJ59o/s4dDSIQDmGnNM\n5CZWVymVNieCkIREy2652wlC4gZdd0MnWK+DJ2wKhtuXD1zh2mvh138dHn4YRiYtthlFnjj1JK/f\n/fqu9a67Dp59ds3dbAnORU9Tyjnku99NJpjNZCifKtPIxdjTORZy7RFUQhkzrD9LLnftae/+FTtM\nOAy5aC0n2FwNaybLEicocfGwBoZDO0eMASAHYkEQZ7orQbNKZ97pFkYA7BJGtg6t+2JfLaCLDENH\nJZY1ie9fekOoveQiuE4P0h3AB4Hfbv37tx3LvyiE+F2ScOd+4H6llBJCVIUQrwHuBz4A/MGgY140\n/Uwtjs4tEW17hDde9sbuF1pOcP/Ifu547g6UUszV55jIt0VwaGhz4VBoi2BXYQwkYc1eERzQLL+4\nCC42eX19EaxU4AtfgNdcZTEa53ni1BN962UysH9/cuN+883rfz4vV85FT1PKOaQVCgWozlep5yQ3\n+aN8e/IEcayAiKszDzAq7qRYfM1p717XEhHbIfsn4xVCJ4qc1bAmrDhBb9UJmkr2bGMSxw4QI0Sr\n0CYH5iET77LuwpgiBnMDRFAvjCGHqugTyfa+P0Np1+UUFouY5hSed+mJ4IUIh67Vg/RbwFuEEM8B\nb2w9Ryn1FPBl4CngH4CPqPb4Ph8BPgccAp6/aMu4e7jr8D0Ull/XHaaERIQKBfaP7uf5peep+3Wk\nkOTN/Ooqp+MELd1a2wk6Tr8TXBlAm3Y41MEmrzlriqCmwQ//cDKL/CtutthuDPO1Q18jVv09Tjfe\nmDjGlJRzwj33wPd9HwD1+Tr1nOSVpRwikDw9G/Dcc/8DHxn+TxiyztTUz5/RIZ6/5la++YHL+pa3\nnWCnCK5MrOsNDIdKaRJFDYQw2nnErKSwVICe3toRXWfB754gGCAzPgyRRnF/4n88b4aRW27HdEvo\n2rY0HPpSoJS6l7XF981rbPObwG8OWP4QcN25O7utwaNzDzPiDhjZoVaDoSH2j+zn0OKhJBTa4QLh\n9MOhC82FwSLYaKy6PqDtBLdvBzpEMLbJysV145gf/zi87W1wk2ahHrHJGlnuPHwnb9331q71XvGK\n7ub6lJQzxvfhgQfgda8DoLnYpJbPsH/YxJgxeX7mWcbcv+ffL3+Jv9t9C7bd7+Y2w75tgy+wdk6w\nfQ2t5ASFcvAx0QaEQ6Oo3rWNltco1Ussl7qrqsdMg2eb/QNjj142SrQ8zNgBA6UUvj9D7rZ3YnIf\n1XkNkUmdYMoW4OnyI0yKG/pfaIVDhzPDZI0sD8883JUPhNMLh1qaRRiH/Y5zZYLQTMfyNapDHZU0\ny68ngpdfDu96V7KR8Dx+602/xfv/+v08t/hc13rXXpuEQ1NSzpoHH4QrrljtM/KWPGpFjau3WWQ8\ng2r1a4yOvoumblGwxAY7O30SJ9gbDk1EDiQxGpLBhTGd25gjZte/K0xmDCr0O8Gb3nYTbmxz1Wsn\nWscS6ON7EOYCje/OX5JOMBXBLcgLzYfZY97Y/0JLBAGu3XYtdx6+c10n2Dv8Zy+mllxYfU5wpeu+\n1wnWan3h0KbKYG8ggqu0NnrnVe/kV279FX7pn36p6+XrruuegzAl5Yz5+tfhLW9Zfeot+9SGdK6b\nMsmFBnr4LUZG3oLSY4r2uf+ZHFQYI6VNFFUQMrlONPrDocm2bREs7Eyud3u0+9qayhvUtUQEv/FM\nkzBKLppsPsuOVx5E06v4/sxq20dztA7fXsb3Z8/l29wSpCK4xTjVOIUfO+wq7ul/sV5PuuFJRPAb\nR77B9tz2rlVOJxzqhA4Aw3bP6PmalkwGKDou0jWcYDO2sdUmRdA0V0f4/uirP8pdR++i4TdWX55o\n6fnspXedppxr/vmf4a3tcLuzGFPPwVRJZwiDrHiKfP56lK4onCcR7G+RsAjDMkIk14k+wAmubLvC\n6N5kFJvSnu6Rbq7ZZlHPePzhN8u8efZ+3vPFdv+fYYzj+4nrM83k96G+T8O+P8T3Zy+5KZVSEdxi\nPDLzCOPR9YwMDwjRdDjBa8av4fDyYa6b6E6Znk449MXyiwAI0XMsTesOhcKahTGNyMZSaxfGdLGy\nEWDrNq+YeAUPnmw3BwrRdoMpKWdMuQyPPQavb7fheGVJw0iKsbbrHhk5TyZzBZgxpcz5c4K91aFh\nWEbTkmur1wm2r8P28l3XJN1jl93QXXzz/VdmCEZcPnnseV71wi7+MTvdqngFw9hGEJzC82YwzcQJ\nejeNYxxLbqCTMOmlQyqCW4yHZx5mqHkjIyMDXuwQwdt238ZNkzfx4Zs+3LXK6TjBSEV9OUVgsAgO\naJFYEUEzPo1wqN8e/umWHbfwnRPf6VrluuvSvGDKWXLXXXDrrSjLoly+hzgOUDUd30hEYn/2KHP+\n5QSRBKmwjXOfE5TSIIqcvj7BMCyjrREObdN2ajv37WTPE3u4/NrLu9YoZiR6xcLN+3z7g5ejBZI/\nfyAZk8Q0xwmCeXx/dlUEi1ePs5zZgRkW8f05LiVSEdxiPDL7CHb5hq65BFdpNcsDXD1+NQ9++EF0\n2Z3027YNZlq5741EEGBPaUDYVdcHO8EBIlgPT1MEO6a5uHnHzTw8090TkRbHpJwNS42In3z0FB+5\n5adZWvoGjz76BmZnv4DRMInMpOBr0prmVLiDqhODL/vG/TwXrBTGDAqHalpynax91O5w5WUH+1sw\nAL7z6ht44KabMHXBDc0x/vjJBQDuOZzj6PzJVjg0EcGJKyeoiW2YS1xyecFUBLcY903fhzZ7cyKC\n7343/MRPtCtFWn2C67F/fzJrw6DZkAZx3bYBHShrOUGl+sKhtSiDEW1SBHO5JKTaYt/wPg4vH+4+\nnzQcmnIW3PDFZ6hYdb5wYA//+Ohfk80eYHn5TmzHwMgmF8O4OctcMEHFiRHh+fmJbIdDuwtjwrCM\nHNBcfya8ao/FjbuT6/ET10/wQHGO//3rS/y+0+DR+hGqjenVwpjdV+9GuqOYL9ZSEUx5+XKiegIn\ncHBP7k9E8K674Etfaif5OsKha5HJwNQUvPDCxiL4zEef4fffPmCaxpXCmE5WKkV7nGDNtzHCTYpg\noZC8hxaXDV/GkXL3/EkHD8JTT7XnIExJ2Sy/841lFoqL/NX/83/xI+IKqv4DTE39O+r1h8g1TfLF\n5Ds9bJ5kNpqg5sWI4PyJ4ODCmAqyFQ49l+UpP3pjHrtp8in5GB80bmIsrvLM7IuYZjLnwMi2ESIJ\n+oKGf/x75/DIL39SEXyZ01mp9e1j3+Z1u15HeVkwnPUSldm3L5kYFLrCoetx9dXJZLYbieBVY1eR\nM3P9L6zlBKFPBKu+jb5ZJ5jJtC0qMJ4dxws9ql51dZViEcbH4cWHFuDAAdizJ5lxNyVlA/6340f5\nzKNPkH3XO/nkbaPssp+hWPphXPc4Qw2NyYkkx1DUT3BSTVB1YuR5c4LGQCeY9A6en8Fxv/um6/i/\nszfyoVuvYLtRIWIay5pqHVtSHi3jF6/Cf/rSmq4lFcGXMV964kvYv2Hz3i+9Fy/0+Jtn/oY3X/5m\nlpZgrPEi7NyZiMDJk+2CEmvjke43K4JrslZOsOP4nSKo+ZusDhWia8JDIQR7S3s5stztBq+7DrRf\n/Z/gHe+Az38efvIn4WtfO4M3knKp8KUHazQKLr/4T5+H97yH/eN1lBL8/TMlDGMb+sgCV+xM2gwy\ncpoZxqn7MTI69/lA6JxKqdsJJv9ulBM8M67dYfKzry1imuNktEVGjFmenG1X2DnbHMr2FQTTl1a+\nIRXBlykVt8JH/7+Pcs/P3IMudb7/C9/PnYfv5P3XfpBGA/KnDidDrezYkTjBZrM/RLkGu3YlxTEb\nNcuvySAnuBKfzCXOcUUEK56NFmzSCcKmQqLXX+Ww7V//Bj7xCXjzm+GrX4V/82/aU9SnpPTw29+b\n483zNsaJ4/C61+G6xygH/3975x0fVZU98O+ZZNIbLYEECISigICIVBFQrIgNUbGgWFdXxLWsu6i7\ndgHdXUX3h6iIjRVBrNgoGtQAxoj0ElooSUhCSSdlkrm/P+6bZDIpzCSZJJj3/XzmM29eOee8mXfn\nvHPfvedE8+muXCwqhhM90+jT0RiVqdLI8G1HfrEdS7n3ukP1e9UpEvpdty3XjDEOGjqPTxfntREk\nRTy91inxdhxk5kdS6pMLBw82SMephOkEWyif7viUc2PPZVjnYSy6ZhF3nnUnn0/+nPKiUMLCwLLf\ncILR0ToSLCyscEAnIyICsrMbEAnW9Eywf3/tkK64Aqh0gtnFgVhK6+8EY8NjK+YrOrjQvpw9YWdB\nJ6PI6dChMG0a/POf9TgZkz86drtiS9hRHs1ap69PHx+Kiw8AXfjtRB624jaUxBynf7QfdrsN7Llk\n+4dQYFP4eNkJOneHing3EnTFjh8/WLIqPocPDKd4ZzCl3cLhs8+8rL3lYDrBFsqirYu4uf/NAPha\nfLl90O2M6jqK7Gz0oJh99Y8EHXMFG7U79LLLdCoqQ6BzJNgQJ9g5rDNp+VXLRPbJWs0KVTW5Nn/5\ni+4SPXq0Hidk8kdm6YZCUDD2C6PrHCgpOUhkWBxpofnk54RgizpOx3BfbLZjWK1tUf6K3OJyfO3e\neybo/A7OkaD3nWDXrjOI7fJXbP5lTPxfKncuPUxe5xis2yMpbQssWeJF7S0L0wm2QGzlNtalrmNc\n3Lhq244fr8EJpqdrJ+hmJNimTQOdYE3doS5URIInjAnwRUX1coIxoTHVnGC7HQl8k3uOI7mMJixM\np8H6/HNMTJxZvDOHgUfAkpkJRj3H4uID9O4Uhy2klMMZIdjbHgPAZjuC1doBin04lGfDx2tO0NEd\n6jwwRkeCjowx3nSDcXEv0KPHc7wV049finJYmZPNfSFlROyOo9QnF7V3N+ze7TX9LQnTCbZANmdu\nJjY8loiAiGrbsrPR2WIcTjAyEjIzdXdoU0WCbjhBR47tvHwj0XZOjntOMCREO8F9+8BuJyYshrQ8\nJydYUIBl5w6ye5zNzp0ux06caDpBk2psKMpnwsHf4MYbKyqglJQcJCgwljZZoaRltsXL+12cAAAg\nAElEQVTSRvcgOJygpcSHwydsWJW3u0PreibofW4bEUb6nWdw4M6+jCuJ5Ui4FaUCKLtlIrz/fhNY\n0PyYTrAFsi51HSO7jKxxW3Y2tIlQlU4wPFw7jabsDnXDCYKWXV6Odn7uOsHQUMjLg8GDYfHi6pFg\nYiIMGkTvAQFs3uxy7HnnwZo15iRCkyqkheRx+epFcPPNFeuKiw8SEBBLX8IoPtEJv9DjgHaCfn4d\n8Cn14UiJ951gzaNDDSfomrPXy7x5eTRbz7BSkh9K6eSLtBO0Vy9u/UfDdIItkLWH1jKi84gat2Vn\nQ+fAY9oRtWlT6TQ8GBjT4O5QX1+3HK5jEJsEBnrmBH//XZ/Piy9WRIIVI+ISEuCccxgxQi9WISpK\nR8ZmShkTg4PHyygPP8EAVaarMhsUFx8gIKAr50WFEZjRjoBQnVC3tFRHgr42H46V2bB66S+y5u7Q\nqpFgj8Ca24vDWTY20RG+pHQupTgrgtLuEfqPohXMwTWdYAtk7aG1dUaCcRhRIOhnYXl5HkWCISH6\nEV1RkXcjwYopi55Ggt9/D+PHw/bthFgCsPpYySk2sn6vWQOjRjF2LKxeXcPx555bg3c0aa18vDGf\nfvvTsP753op1dnsJZWXH8fPryNSzwwnZF0xwiL6+HN2hfuU+5GLDz2tOUDc85+7QynX+rOo4lPeu\nia52nK9vW4KC+njFJoD2AyPxPxxJSUk63HMP/Pe/XtPVUjCdYAsjPT+dgtICerfrXeP248eha5mT\nE3REggUFbkeCIroX9cgR7zrB8eONBU+d4PbtusxNVBSkphITGkNqXqrumklMhOHD6d9fDwRNTXU5\nfsgQXTXcxARISE7h3J0b4frrK9aVlKTh5xeNiA89Iq10TCnFx7cYu720ihMssJTh56XBKTVFgo5S\nSSIWxp0eRJB/9b/nYcN206/fUq/YBHDfpH6U57Zj746NMGWKvqHcu9dr+loCphNsARw8CFnGdJ11\nh9YxvPPw6jX8DLKzoeMJJydoteqQ6+hRtyNB0D0dR4961wk+/LCRxc0TJ+jY58or9Tnu26e7RPPT\nYNcuPSqoQwcsFhh29W+c+U53vt39beXxgwfD+vX1OCmTPyJZJ3YQ69elyvVaUnIIf//OANjtdiKO\nt8XXtx2lpVkVzwT9lQ8nrDb8pOmeCVZSu06rtS2+vidPjVhf+sUEcCA4jANbkvVN9R13/OGjQdMJ\nNjOvvgoXDczkiZ4f8dsPeXUOigHtBNvnOzlB0F2iGRkeOcEIY+BpvTLGPPigHoRyEoYMMWY7OByb\nO07QMT2iV69KJxhqjBBNStIT4w12974X/0OX8sB3D1Q+M+zfH/bs0X29Jq2bjAwOdPbj7KuvrrK6\npCSVgABdjPbo4aMoUfj7d8Jmy6p4JhiID6UBNvy97ASdu0OdtnpFp7ukhLcnuMBoh/fdpwfIHDvW\nrDZ5E9MJNiOJiTDvuaNsDRnGzPb/omDiLXU+DwTtBCOO1eIE3ewOhUonWK9IcMwY3VXpLo67cHec\n4IwZup8WKpxgxYT5pCTtWYH9OfvJlQOUfvEapTbF+sNG9OfvrxNrVxs6atLa2DfrVbKDwhkzvEuV\n9cXFlZHgrl93cTT6KH5+kZSWZlZ0hwbgQ1mQDX+Ld/4iHc7PuTvUgY+P+zez3sDSuR/B/gWkp6RD\n164waRK89FKz2uRNTCfYTCgFDz0Ey3o/jO+1E2mzNYGeRRvx+XUDQ6KH1Hrc4cMQnLVPV49wUI9I\nsF8//V4vJ+gpjj+S8PCT7xsQAO3b6+Vu3WD//qqRoOEEv9r1FeN7jeeO23xof2Qiy5KXVcowu0RN\n0tPZtDmJsMzwakVxdXeodozpv6dT2q0UP78obLasCicYbPGB4HICfZq2OzQ8fDTh4aO8otNdhsX2\nojjmOD+99RMAthnT2Bb2Hw5se6xZ7fIWphNsJlatgrDDycTt+haefhpLUAAbzxnK9Zs71Fy+yOBo\nWgnWYxk6C7aDsDDDO7ofCY40gs0mcYLx8fq9XTvPjjPyosaExZCRfUhHd2edBWgneHnvy5k+HZJX\njmL13nWVx5lO0OSxx/hy1HXEWTpU23T8SDI/z9zJJ89/Ql5CHsFDgrFaIykpOYzNdhyrtR0hxqT6\nIC87QefcoQCDBv1IYGBcTYc0GRf06wZtcyj8QqdkSimdi3SJI2PvXI4e/aJZbfMGphNsBpSCp56C\nlzs/yZsjrPR8ZxAJBxNYN6aQ87eUUlZW83H5+dCrbIeOAp29Vz0iwRHGNMQmcYJnngl//7vnx0VH\nw+HDxITGEJC8R0eGoaEUlBaw9tBaLuxxIdHRcNsFI1h3MJFyuzFJ3nSCrZukJFi+nG+7DmZ0lC4y\nbbeXoZSipLiEvH27KCttT/G8Ynqu7snI20bi5xdFUVEyvr5hWCxWQnz1X2Owr49XTKx7YEzzEhIY\nSYA1j6gD7Ujdl0JW1kf0uPgzer4upGx7BKX+WBPoTSfYDKxbB75pB4je8CkZU6/llUteYeLiiXwQ\nsokuxSfY/IORBFopmDpVlwxCpwg9J2wL0r9/VYFhYdpDeuAEu3SBJ57wKHisP+vXw8yZnh/XqROk\npxMbEUvkzlTU4MEArNi7gmGdhxHmHwbArH+2h8KOzHx7mz6uf3/YtYu96dt4NfFV1h5a21hnYtLS\nKS2FO+/EPms2WZFFXHNGGLm560hIiGDLlsv4aPqH+EZlMnnuI1yz6xrikuOIPT0WP79ICgu3YbXq\nrvgwq3Z+wdbmGB3avFgsvhSVR7B9RAZJn88lOHgA/pF9aHvDK1gOpHMkY3Fzm9iomE6wGZg7F16I\n+RvvD/Hj0QkzmdB7Akl3JZF4dxIZnQaza5ERxaxYgUpMpGj+Qo7/vI30dBjst6VK5gtAO0HwyKOJ\nwLPPVj6ua5GEhUF5Oe3tAfQ9Cnk99GCGj7Z+xHV9r6vYLSgILhswkhcXrdWpQwMCKOgew70zz2Fz\n5mYmL53MrIRZzXQSJt5GKTt2u1FU+plnoFs34odOwmKzMKBTPtu3X0+fPgvJOXaAKNsPWAPaYrWG\nERAYQNfeXQGwWqMoLNxe4QTD/bQTDPGaE3RMjK8+MKYlYJcotg4vw9e2hg4drgVAptxC9zWnsf/3\n+1Hqj5OasCX/Bf4hycqCpGUZDNj0KdaHHyXQqkdOxkbE0im0EzLkbE78ZEz2/u47ErpN4b2i6/n6\nni9JS4O+ZZt1pOOMzabfe/ZswjNpAkQqukTPygliT0c/souyWb53Odf0vabKruPPGMnom9bypz/B\nh5/ksSw0nZfb38z8K+bz612/8n9J/8eKvSua6URMvEVJSRpJSf1ISGjL4VWPwIIF8MYbfLw9j07Z\noSQn305k5GRK84dw9JlrCLh1IRFthlaT4+cXid1eWM0Jhvq1vkgQIDwomtSzjhPSdzPlRcYAAhHa\nPPU11kN5pK9+pHkNbERMJ9jELFgAs7rPYMmZvky5qPqFFH352XQ48BvFxaBWrWLO1nGMfv5ieuxZ\nzg+r7PTK+bVihGQFDz+s8232rjnLzCmN0SXaK6OUDW2Kee6n57i+3/W0DWxbZbeRXUayvSCBr79W\n3L3gZY71OIN+B/VcwY4hHXlzwptM+2YapeWlzXEWJl5i5847iIy8gT5hS0kueI39C6dCx44kZB/l\nrx1nY7MdgxO389PIn8jrFkeXLn+la9fqz6f9/PSUH6tVD6RpE+hwgt59JthSI8HOHQZyXdhCThyL\nYe385Ir1R4Ijecc+j01lbzF5wXwSU4qb0crGwXSCTUh5OXz23zTG7fkQ20MPEmSt/gwvaMwQhvr8\nRtJ3xyhPOci2gMH0uWcMZ6n1bHsvSad66dix6kG9e8OgQU10Fk1Mp06wZw9heSX8J+MzPtz6Ic+e\n92y13fp26ItCkdv2BywjXmP5pn+gfv65YvulvS6lW0Q33tv4XlNab+JFcnPXcuLETvxyr2NcUgbT\nbHNZr97i14338mC3q+nbJgtL/mw2jt5G+fXlTH1nKj16vEh4ePXk9A7nZ7Xqm6t2hhMMqyF1WWPQ\n0iPBiIjRnO6zg715F1NijBL9ZmshMcuT+NxvGCm7pnNbzHSmbZvH+4l5zWxtwzCdYBPyzTfwqLqH\nD4b6MWVCLXNuuncn1FLIkflfcDByCBOu8kVCgrEPHsoHPZ8h6IJzmtbo5qZrV4iPxyeuJ7effReL\nJy0mKqT6RH0R4cYzbuTaj69l8sBryGsznpLDx6skF/3nmH8yM2EmZfZaht+anFLs3/8ksX638+rc\neQQWRLD5mtuZn7aEOZl2Fmb/Gd/UGeyfcBR5VLh5zs11ynJEZA6n1CZIO8GIQG85QYfclvkX3K7d\nBBZnzWVpwJ8IyQrhs/d/5orkzUwhloN39uO++15g2P6pzJa/MSfrXb7aUtjcJteblvkL/EH5euYa\nRud+S9Rzr9Q+F1CE4n5n03f1//FT6XAuvlivDrr6Ynrv+QZuuqnpDG4JxMXBqlVIXByPjHyE0bGj\na931geEPMPeyubxyycs8+bSF1YzFvvL7iu2juo6ia3hXFm1Z1BSWm3iRnJyfKTq2Bf9r3+arPpdx\nw/JcFox+m0nfpNB16SVcvbAtuXfkEvLfECbOmOi2XF9fHQl2CNFOMDzQO92hDsRLadkaioiFjmHX\nsc23DOvjVmwPFTL9rSxGf7Oc5PW6ezTiT3MZlDON2T6P8vzeN07ZrtGW+Qt4gIhcIiI7RWS3iPyt\nue2pjW0/pvLwtotYetc5TBp5R537hk66mNMLf2dF3nBGOZJH3HwzzJtHhVdsLcTFQWZm1TRxtRAZ\nHMnkMyYTZA3ivPMgKfoqDs9ZUmWfJ0Y/wQsJL1TOKTSpkZbcrtSRI6R8dy1dF5TxYr/ZPP20nTax\n0HZ8W3xDfeiRcoyQoHIGJA7gglsvcFvuwIHxxMT8GYDIEO9GgpU0b57QurhuYCjHo/JI6D2Sf93n\nT5/YfMrzykkek8yPS34EoM1N/2Zw2Es87f84/1r/OHt3pDez1fVAKXXKvgAfYA/QDbACG4E+Lvuo\n+hAfH1+v42qiaOW3KiUiSL025nRVWlbqluw5d29VP8WXeayrMe1uavk1yk5OVgqUeuUVj+X9sKxA\n5VrCVen+NPXss/Fq1iyldu+2q+Hzh6slW5c03GCD+n4nxrXZ7O3I9eXNdlUfKr7f9HSlnnhCHbkw\nRK37Mly9MWKemnvaKrXk212Nri/3RLkiPl4dyfO8DbqvB5WTs87rbba6Xvf1tVmwQREfr15dnV2x\nbuW7K9VnIZ+pXZsqv/fctB/UJ19Fq/lfnq7iH7hDrfrXx2pzwmaP9TWU+rSpUz0SHArsUUrtV0rZ\ngI+AKxtD8OoaK7Z6SGIiRePGcHTyVTza72wuX7gJq4/VLdnT3+jHuWM974ppFLubSX6NsmNj9VQJ\nNyJBV8ZeFszKuHv4pvcDzH3te0ISvmNX36tZef82+o6/FTVvHhQ3vAvH2995M+C1duUxqamsfvll\nuOIKigYO5Mui42x62EranGlk2TswZ3ok117Sq1FVrl69mhB/4dGCfrQP9X53aFNfP57o++GCPrxh\nHcT9YyIq1l1w6wXkTcljzbVrKLOVkXs8l4//sg/7rf8h9q1LKTv3S8rULLJuW8UXnV/n0/kfeOEs\nGo/6FNJpScQAh5w+pwLDvKVM2RXF+Tbys4ooyCyk+EAmtoPp5BzcQvGRJEry9mCz5WIp9qfnPhsR\nBTnMGl3K0mH/4PGLHyO2c8vt+mix+PtD9+71mv4hAlet/weFF17FXUnPc1/6II4+fQ9Tlr1OUfvz\neej5WQx86EE+6aso9rUSkxNDz+xAAuxh2EMjONGlN6r36fgNOJ3wYafT6Yx2niTlOZVpknZVXl5O\nZkoaGZv2kbPpACU7j1N+sBTbkQDKsFAUXExOVC5f5Z/gxzsnMeCGKC4L+ZD8/03h3b5j+Opif37u\n7Z25sRaLMHtC9byjjU1LHR3q4Mwu/pzZxb/a+hvn3MjC/gv54M4PsKy1oKIUpy/rR5+hk0jY8w++\nLJ/JefOeoSC5P9mPRbB4wD/xGZRH26gOhMZGExIdQ5uYTrTtEoVfZDtdo7SZONWdoHJnp1XdI7Eo\nhSiFRSksitqXUYiCjIJitr/2EoFldgJt5QSV2QkqK8cK+Pv6UG61UBjkS0aYjcwQK9nWWPLLemMr\niiQo8gQJl2Wya3gnLor4Kx93HMDo2sdzmJyM9esraz95iE9YMGG/rECeeAKef572wGczYO2W73kh\n8XHG5HTmwt0WbCUn2Kr28m+/DeSrVDoXtic6ay1xiSX0+tpGu2OllCJk+1oo87FgswilPkKZRUgv\nsvHLm//Wn30EhWBcSQigREAJSozPLfg5kIFb7Wr16kY6j3ZgOR8Cz6++qStwxrswtecqvSIzkpIh\nidzm+xu3HYTsfTaWfdc4ZjhITkxj2WtfN67QGgjsFsbqd+8iOTG9SfQ5aKzz63i3hYBiHzgNCkJt\npPz2BilGno8LAUtuDF36/IzPlRA1tbLKS6HxyjwBJBuvZkSUcut6b5GIyHDgKaXUJcbnGYBdKTXb\naZ9T9wRN/vAopVqcRzTblcmpjKdt6lR3gr7o+4hxQDrwK3CDUmpHsxpmYnIKY7Yrk9bEKd0dqpQq\nE5FpwHL0iLa3zYZqYtIwzHZl0po4pSNBExMTExOThnCqT5FwCxFZICKZIrLFad1HIrLBeKWIyAZj\nfYCILBKRzSKyXURqrAYrIk+JSKqIHBMRm4ikuCHbT0TeMWRvFJExtchuKyIrRSRXREpEZFsjyq7L\n7qEi8qshO0lEhjhtm2FMnN4pIhfVw+6GyvbYbsOeeBHJF5HXapLrYvcuEUkTkSyXa6Wh8h22O363\nS2rbt6UjIveLyA4R2Soizs8IT/obNkDnwyJiF5G2TusaXZ+IvGSc2yYR+VREwr2sz6sJCUSki3F9\nbjN+r+nGeufrfYWI1G/UWe16fYzrfJm39YlIhIgsNX637SIyzGN9nk4sPBVfwLnAIGBLLdv/BTxh\nLE8FFhnLgUAK0LWGY54EHvJQ9n3oriWADsBvGNG4yzEvAo8asucAWY0ou1a7gdXAxcbypUC8sdwX\nPWHaip5AvQeweGJ3I8iuj91BwDnAn4DX6rg+XgQeNZZfBxY0svwngYeaux00Qjs6D1gJWB3XmSe/\nYT11dgG+Q7fDtt7UhzGo0VieBczylj7cSEjQCOfTETjTWA5BP+ft43K9/81xno2o9yHgf8CXxmev\n6QPeA243ln2BcE/1tYpIUCn1M5Bd0zYREeA6wJFQ8jAQLCI+QDBQCtSWJl08lN0HiDdsOgLkAGfX\ncOgVwHuG7IVAWCPKrsvuw+iLCCACSDOWr0TfGNiUUvvRjbd6Uba67W6obI/tVkqdUEqtAUpqkVfF\nbmP5acA1im6ofGjJ+bHc515gptIT6B3XGXj2G3rKf9A3Vs54RZ9SaqVSym58TAQ6e1Gf1xMSKKUy\nlFIbjeUCYAd6Dqjz9f4ecFVj6RSRzsB4YD6V17xX9BmR+rlKqQWgn2UrpXI91dcqnOBJOBfIVErt\nBVBKLUc7vcPAfuAlpVROLcfeLyKbgNnU/F1WkQ1sAq4wugu6A4OpbGjORCmlMo3lI+g7xcaSXZfd\nfwf+LSIHgZeAGcb6aPSEaQep6Mbkid0NlV0fux2c7MG3s92ZQHuX7Q2VX2G7iLzd2N1PTUgvYLSI\n/CIiq0XEcZPlyW/oNiJyJZCqlNrssskr+ly4HfjGi/pqSkjQ2OdQgYh0Q/egJFL9eq9elqX+vAz8\nFbA7rfOWvu7AEdGPgX4XkbdEJNhTfaYThBuADx0fRORmdDdoJ/SX/IjhVFx53dh+JpBl7F+nbHQ3\nWyq6q/JlYC3gTibnmv5k6yu7LrvfBqYrpboCDxoyPbGprn0aKrux7K7bYN2H4qq/ofKdbT8M/Lu+\n9nkb41nKlhpeV6C7m9oopYaj/+iW1CHKrRF3J9E3A92VXLG7F/Vd7rTP40CpUurDOkQ1dERhk41I\nFJEQ4BPgAaVUfhUjar7e66tnAvoRyAZq+a0aUx/6ejwLmKuUOgs9B7/KGA539J3SUyQaiuj5UFej\nv0gHI4HPlFLl6LuMNehuxRTnY5VSWU5yFgN3nUy2IfMhp33WALtqMC1TRDoqpTLQz/eqFMBriOyT\n2D1UKeVIu78U3aUBuvuvi9N+nansznTX7gbJrqfd7lJht4h0Ao65bG+QfBfb5wPL6ti9WVFKXVjb\nNhG5F/jU2C/JGKzSHvevD7f1icgZ6BuHTbrnn87AehEZ5g19Tnqnorvzxjmtrre+OnCV2YWq0Waj\nIDov2yfAB0qpz43Vrtd7Vu0SPGIkujdqPBAAhInIB17Ul4ruKUgyPi9F3zhleKKvtUeCFwA7lFLO\n9T92AucDGKH1cHRfehWML9fBRYBrJuZqskUk0JCJiFwI2JRSO2uw60vgVmN5EtWfSdZb9kns3iOV\no0rPp9KJfglMFj0CtTu6W+xXD+1ukOx62l1xeA221mb3rcAKl+0Nku9i+9XAltr2beF8TmXb6A34\nKaWO4v714TZKqa1KqSilVHelVHf0H95ZRjdXo+sDPVoTHeFeqZRyvr68oe83oJeIdBMRP+B6Q0+j\nYYwbeBvYrpR6xWmT6/X+ueux9UEp9ZhSqovxe00GflBKTfGivgzgkHEtgv5f3Ia+yXRfX0NG5pwq\nL/TgkXT0AIZDwG3G+neAu1329UcP6thifKEPO217C90QAd4HNqMHaRS5Kbsb2sluR//RdnGRPdhY\nbgusQjuR4kaSXZvdpQ7Z6Ig3ET1SbR0wyEnGY+gBATsxRkq6YXdjyG6o3fvRkV2+sf/pddi9C91d\nebiR5LvavgndIKOau03Usx1ZgQ/QbWM9MPZkv2Ej6t6HMTrUW/qA3cABYIPxmutlfZeiR2zuAWZ4\n4TsbhX42t9HpnC5xud5XABFe0D2GytGhXtMHDASSjLb1KXoAm0f6zMnyJiYmJiatltbeHWpiYmJi\n0ooxnaCJiYmJSavFdIImJiYmJq0W0wmamJiYmLRaTCdoYmJiYtJqMZ2giYmJiUmrxXSCTYSIlIsu\nL7JFRJYYk9u7iVPJHjfl3Ooy+foPh4gMFpE5jSDnSRF5wWXdmSKyvaGyTVoXIhJuZMxxfI4WkY+9\noOdy8bCskohMF11G6IPGtqc1YM4TbCJEJF8pFWosL0RPNv4U+Eop1d8DOfHAI0qp9d6xtOGIiI/S\nadya245ewHdKqR5O62YBBUqp55rPMpNTDSMB9TJP2mpTISI7gHGqauYrEzcxI8HmIQHoaSz7iMib\nooteLheRAKiIWH6RygKfESIyCZ295H+is6YHiMg4Y3mz6AoFfsbx+0UXc11vbDvN1QjRFSdeEl0w\ndpOI3G2sHyu6SsDHootVLnQ6ZrCx7TcR+U5EOhrrV4vIyyKSBEwXkSGG3g2Gji3Gfj+JyEAneQki\n0t/FrrFSWZDzKdFFkeNFZK+I3F/TFyoiF4nIWuN8l4hIsFJqN5AtIs5lb66lsvyUiYm7zAJ6GNfz\nbBGJdbqmp4rI56ILuKaIyDQRecRol+tEpI2xXw8R+dZoOz/V0ianilGgWUTeFZE5IrLGuPavqWH/\neUAc8J2I/EVExkhl8ebfRSfPNqmLxk6XY75qTe+Tb7z7Al+gC7F2A2zAAGPbYuAmY3kzulYW6Bp3\nLxvL8VSm4woADgI9jc/voTPFg074fZ+xfC/wVg023Q08biz7o9MPdQPGousRRqPzYq5FF4+1Gsvt\njGOup7KQb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "CentralEnergy=180. # in eV\n", "bandwidth=0.5 # bandwidth in %\n", "dt_FWHM=30. # FWHM of the temporal duration on average \n", "\n", "dE_FWHM=CentralEnergy/100 *bandwidth # calculate bandwidth of the spectrum in eV\n", "\n", "EnAxis, EnOutput, TAxis, TOutput = GetSASE(CentralEnergy=CentralEnergy, dE_FWHM=dE_FWHM, dt_FWHM=dt_FWHM)\n", "EnAxis2, EnOutput2, TAxis2, TOutput2 = GetSASE(CentralEnergy=CentralEnergy, dE_FWHM=dE_FWHM, dt_FWHM=dt_FWHM)\n", "EnAxis3, EnOutput3, TAxis3, TOutput3 = GetSASE(CentralEnergy=CentralEnergy, dE_FWHM=dE_FWHM, dt_FWHM=dt_FWHM)\n", "\n", "ax1 = plt.subplot(1, 2, 1)\n", "#plt.plot(EnAxis,np.absolute(EnOutput),EnAxis2,np.absolute(EnOutput2), EnAxis, np.max(np.absolute(EnOutput))*np.exp(-(EnAxis-CentralEnergy)**2/2/dE_FWHM**2*2.355**2))\n", "plt.plot(EnAxis,np.absolute(EnOutput),EnAxis2,np.absolute(EnOutput2),EnAxis3,np.absolute(EnOutput3) )\n", "\n", "plt.xlim(CentralEnergy-2.*dE_FWHM,CentralEnergy+2.*dE_FWHM)\n", "\n", "#plt.title({'Pulse duration:',dt_FWHM }) #,'fs, energy:',dE_FWHM,' eV'})\n", "\n", "ax1.set_xlabel('Photon energy in eV')\n", "ax1.set_ylabel('spectral intensity')\n", "\n", "ax1 =plt.subplot(1, 2, 2)\n", "plt.plot(TAxis,np.absolute(TOutput),TAxis2,np.absolute(TOutput2), TAxis, np.max(np.absolute(TOutput))*np.exp(-TAxis**2/2/dt_FWHM**2*2.355**2))\n", "plt.plot(TAxis,np.absolute(TOutput),TAxis2,np.absolute(TOutput2), TAxis3,np.absolute(TOutput3))\n", "\n", "plt.xlim(-2.*dt_FWHM,+2.*dt_FWHM)\n", "ax1.set_xlabel('time in fs')\n", "ax1.set_ylabel('pulse amplitude')\n", "\n", "plt.plotsize = [8.0, 16.0]\n", "plt.subplots_adjust(left=0.02, hspace=.18,wspace=.28, top=0.98)\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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TevToP09+4e7dqnV1qpFI0mNv23atdnQ87+w8/bTqVVcNn7v7kWZd9p1dw/vf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\nGjW+Q4fUscGAECqW9bJl8NFHcPfdTcWFEExImcC6Y2rv0rPPqjClV1w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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example for longer wavelength\n", "\n", "CentralEnergy=25. # in eV\n", "bandwidth=0.55 # bandwidth in %\n", "dt_FWHM=100. # FWHM of the temporal duration on average \n", "\n", "dE_FWHM=CentralEnergy/100 *bandwidth # calculate bandwidth of the spectrum in eV\n", "\n", "EnAxis, EnOutput, TAxis, TOutput = GetSASE(CentralEnergy=CentralEnergy, dE_FWHM=dE_FWHM, dt_FWHM=dt_FWHM)\n", "EnAxis2, EnOutput2, TAxis2, TOutput2 = GetSASE(CentralEnergy=CentralEnergy, dE_FWHM=dE_FWHM, dt_FWHM=dt_FWHM)\n", "EnAxis3, EnOutput3, TAxis3, TOutput3 = GetSASE(CentralEnergy=CentralEnergy, dE_FWHM=dE_FWHM, dt_FWHM=dt_FWHM)\n", "\n", "ax1 = plt.subplot(1, 2, 1)\n", "#plt.plot(EnAxis,np.absolute(EnOutput),EnAxis2,np.absolute(EnOutput2), EnAxis, np.max(np.absolute(EnOutput))*np.exp(-(EnAxis-CentralEnergy)**2/2/dE_FWHM**2*2.355**2))\n", "plt.plot(EnAxis,np.absolute(EnOutput),EnAxis2,np.absolute(EnOutput2),EnAxis3,np.absolute(EnOutput3) )\n", "\n", "plt.xlim(CentralEnergy-2.*dE_FWHM,CentralEnergy+2.*dE_FWHM)\n", "\n", "#plt.title({'Pulse duration:',dt_FWHM }) #,'fs, energy:',dE_FWHM,' eV'})\n", "\n", "ax1.set_xlabel('Photon energy in eV')\n", "ax1.set_ylabel('spectral intensity')\n", "\n", "ax1 =plt.subplot(1, 2, 2)\n", "plt.plot(TAxis,np.absolute(TOutput),TAxis2,np.absolute(TOutput2), TAxis, np.max(np.absolute(TOutput))*np.exp(-TAxis**2/2/dt_FWHM**2*2.355**2))\n", "plt.plot(TAxis,np.absolute(TOutput),TAxis2,np.absolute(TOutput2), TAxis3,np.absolute(TOutput3))\n", "\n", "plt.xlim(-2.*dt_FWHM,+2.*dt_FWHM)\n", "ax1.set_xlabel('time in fs')\n", "ax1.set_ylabel('pulse amplitude')\n", "\n", "plt.plotsize = [8.0, 16.0]\n", "plt.subplots_adjust(left=0.02, hspace=.18,wspace=.28, top=0.98)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Raw Cell Format", "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 2 }