Impact parameters - Magnetic field.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact of the parameters: Magnetic field\n",
"\n",
"Analytic expressions and simple case.ipynb has shown that time delay and halo\n",
"extension of the cascades are related together but also with external \n",
"parameters such as extra galactic magnetic field or source jet opening angle. \n",
"In a realistic case source photons are not distinguishable from cascade \n",
"photons. Moreover as shown in Target_spectrum_and_absorption.ipynb for sources \n",
"further than $z=0.1$, TeV band is fully absorbed. Considering the two previous \n",
"considerations, in this part is studied the dependency of the mean arrival \n",
"angle and the mean time delay in the GeV band versus the different\n",
"parameters. \n",
"\n",
"Here is studied a more realistic case:\n",
"* z=0.1\n",
"* source spectrum is generated assuming a powerlaw spectrum (between Emin=1MeV and Emax=100TeV)\n",
"* EGMF (turbulent magnetic field): 1E-15 Gauss, L_B= 1 Mpc\n",
"* EBL model: Dominguez\n",
"\n",
"This part aims to draw characteristic quantities (average arrival angle and time delay) versus EGMF and redshift\n",
"\n",
"Because for redshift upper than 1 there is no TeV photons, we will use the GeV band\n",
"\n",
"#### Cas mono-énergétique\n",
"\n",
"* plus simple à comprendre et interpréter\n",
"* z=0.1\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 0.00e+00 1.00e-12 1.00e-13 1.00e-14 1.00e-15 1.00e-16\n",
" 1.00e-17 1.00e-18]\n",
" [ 4.00e-02 7.50e-01 7.31e-01 7.39e-01 7.38e-01 7.48e-01\n",
" 7.37e-01 7.37e-01]\n",
" [ 1.40e-01 1.14e+00 1.14e+00 5.19e+00 1.18e+00 1.16e+00\n",
" 1.16e+00 1.16e+00]\n",
" [ 4.00e-01 1.33e+00 1.34e+00 1.37e+00 1.37e+00 1.37e+00\n",
" 1.37e+00 1.37e+00]\n",
" [ 1.00e+00 1.50e+00 1.52e+00 1.53e+00 1.54e+00 1.55e+00\n",
" 1.53e+00 1.53e+00]\n",
" [ 2.00e+00 1.59e+00 1.64e+00 1.65e+00 1.66e+00 1.65e+00\n",
" 1.64e+00 1.64e+00]]\n"
]
}
],
"source": [
"from numpy import zeros, size, nditer, average, savetxt, set_printoptions\n",
"from matplotlib.pyplot import figure, show\n",
"from modules.read import select_events\n",
"from modules.constants import degre, yr\n",
"\n",
"Redshifts=[\"0.04\",\"0.14\",\"0.4\",\"1\",\"2\"] \n",
"EGMFs=[\"12\",\"13\",\"14\",\"15\",\"16\",\"17\",\"18\"]\n",
"\n",
"theta_mean = zeros((size(Redshifts)+1,size(EGMFs)+1))\n",
"theta_mean1 = theta_mean.copy()\n",
"theta_mean2 = theta_mean.copy()\n",
"dt_mean = theta_mean.copy()\n",
"dt_mean1 = theta_mean.copy()\n",
"dt_mean2 = theta_mean.copy()\n",
"ratio_gen = theta_mean.copy()\n",
"\n",
"def compute_mean_delay_and_theta(i,j):\n",
" if i==0:\n",
" theta_mean[i,0] = 0\n",
" theta_mean1[i,0]= 0\n",
" theta_mean2[i,0]= 0\n",
" theta_mean[i,j] = 10**(-float(EGMFs[j-1]))\n",
" theta_mean1[i,j]= 10**(-float(EGMFs[j-1]))\n",
" theta_mean2[i,j]= 10**(-float(EGMFs[j-1]))\n",
" \n",
" dt_mean[i,0] = 0\n",
" dt_mean1[i,0]= 0\n",
" dt_mean2[i,0]= 0\n",
" dt_mean[i,j] = 10**(-float(EGMFs[j-1]))\n",
" dt_mean1[i,j]= 10**(-float(EGMFs[j-1]))\n",
" dt_mean2[i,j]= 10**(-float(EGMFs[j-1]))\n",
" \n",
" ratio_gen[i,0]= 0\n",
" ratio_gen[i,j]= 10**(-float(EGMFs[j-1]))\n",
" \n",
" else:\n",
" theta_mean[i,0] = Redshifts[i-1]\n",
" theta_mean1[i,0] = Redshifts[i-1]\n",
" theta_mean2[i,0] = Redshifts[i-1]\n",
" dt_mean[i,0] = Redshifts[i-1]\n",
" dt_mean1[i,0] = Redshifts[i-1]\n",
" dt_mean2[i,0] = Redshifts[i-1]\n",
" ratio_gen[i,0] = Redshifts[i-1]\n",
" fileId=\"Simulations/z=\"+Redshifts[i-1]+\"/EGMF=1e-\"+EGMFs[j-1]+\"G\"\n",
" weight, energy, time, theta_arrival, theta, phi, gen = select_events(fileId,Erange=[1,1e3],powerlaw_index=1.2)\n",
" dt_mean[i,j]=average(time,weights=weight)/yr\n",
" theta_mean[i,j]=average(theta_arrival,weights=weight)*degre\n",
" cond = (gen==2)\n",
" nb_gen1 = sum(weight[cond])\n",
" dt_mean1[i,j]=average(time[cond],weights=weight[cond])/yr\n",
" theta_mean1[i,j]=average(theta_arrival[cond],weights=weight[cond])*degre\n",
" cond = (gen==4)\n",
" nb_gen2 = sum(weight[cond])\n",
" dt_mean2[i,j]=average(time[cond],weights=weight[cond])/yr\n",
" theta_mean2[i,j]=average(theta_arrival[cond],weights=weight[cond])*degre\n",
" \n",
" ratio_gen[i,j-1] = nb_gen2/nb_gen1 \n",
"\n",
"it=nditer(theta_mean1, flags=['multi_index'], op_flags=['readwrite'])\n",
"while not it.finished:\n",
" compute_mean_delay_and_theta(it.multi_index[0],it.multi_index[1]) \n",
" it.iternext()\n",
"\n",
"savetxt(\"Results/theta_mean_vs_EGMF.dat\" ,theta_mean ,fmt='%1.4e')\n",
"savetxt(\"Results/theta_mean_vs_EGMF-gen=1.dat\",theta_mean1,fmt='%1.4e')\n",
"savetxt(\"Results/theta_mean_vs_EGMF-gen=2.dat\",theta_mean2,fmt='%1.4e')\n",
"savetxt(\"Results/delay_mean_vs_EGMF.dat\" ,dt_mean ,fmt='%1.4e')\n",
"savetxt(\"Results/delay_mean_vs_EGMF-gen=1.dat\",dt_mean1 ,fmt='%1.4e')\n",
"savetxt(\"Results/delay_mean_vs_EGMF-gen=2.dat\",dt_mean2 ,fmt='%1.4e')\n",
"savetxt(\"Results/ratio_gen_EGMF.dat\" ,ratio_gen ,fmt='%1.4e')\n",
" \n",
"set_printoptions(precision=2)\n",
"print(ratio_gen)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
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kgnQ6jcbGRoTD4SFuAYT1sN/H4/HA5/MhEAggGAzmVAPLZrOKgE0kEmVbRgtZYZmVN5FI\nKAKWiVh2HkmSZOFRIIja5IU1a/D35cux8amnbG9j9erVaGxsVP58Ph8mT56s+/uPPvoobr31VnR0\ndKCjowMLFy7EypUri37nxhtvxL333jsk2LactoxAYpUg6gTmI5lOp5HJZACgoEgVRRGpVArBYNBQ\nKiorIWveZ6hzwXq9XgQCAYRCIcWNwOVyKb+hWsAyNwIzBCwLsksmk4obQSQSAc/zilg2Yu0liHri\nsb4+XNbZidfuvBP/KxbDq3fcgcs6O/GYAWtipW3MnDkTsVgMsVgMBw4cwJgxY3D11Vfj3nvvRWtr\nq+ZfW1ub8v333nsPEyZMUF6fdtpp2LlzZ8H+nnjiCfj9fkyZMmXIZ0bbMkr1ZyiCICqGRaKry4nm\noy6P6nK5lCh/K9Hrs0pBP/qwu6ws64/1A2in02KWYUqnRQwXrpk3D0e1teHVhQvBAZD+8Q/c+Mgj\nuHjGDKC3d3CjEv9e09Mz2MacOYNtCAJuXLJksA0DSJKEWbNmYfLkyZg7dy6AQf/RUsTjcTQ3Nyuv\nm5ubEY/HNbeNxWJYvHgxNm3aVHFb5UBilSBqGHWEP1C4PKo6wj8UCiEej5OYqBPsLiurlU6LleBV\nQ+m0iHqG3WuFgQHccuqpkPbv/+z+y0Qpo8Br7tN2BFke2oYBFi9eDJ7nsWzZMkPfC4fDiEajyuto\nNIpwOKy5bW9vL6699lqMGjVKeU9tiDDSVjmQGwBB1CBaEf75ooPl+4xEIgBgWoQ/4XzUbgTMDzYU\nCuX4waoDrazyg02n00o2gkgkgmg0qrgRGM16QBBOY//u3bhkxQr8/N13MWXFCuzfvdv2NlatWoXV\nq1fjySefVB5YlyxZkuPLqv5rampSvtvZ2Ylt27Ypr7dv346uri7Nfl566SUsW7YMI0aMwIgRI7B/\n/35ceeWVWLp0qeG2yoErcaOguwhBOAjml8p8UvWURw0Gg0MCp+LxuBLQYyWs+lUwGATwmb9s/phT\nqRQ4jrPcLcFqmNjz+/3VHopu8svKsv+z38jj8RguK1uoHwCKQKWqXESt4NQUfFu3bkV3dzc2bdqU\n4y+ql76+PjzwwAPK0n53dzduuukmzJs3b8i2hw8fVoqRyLKMSZMm4f7778eUKVMQDAYNtQUUPaaa\nFz65ARBEDaCuXMQmeq3JnOXV5DjO0vKoenHqTZ74jEJlZTOZjFKRK7+sbLl+sACGPDjpqcpltHgC\nQQwH1q9fj4GBAZx77rnKe+effz6effZZXd+fP38+PvjgA4wfPx4AMHfu3Bxx2dXVhcWLF2PWrFk5\ngVnA4PXZ2tqqGCJKtVUpZFklCAfDfA/VwVNaEzZLbSSKYs5SbyHssqyysqNkWa09stksMpkMAoEA\ngKF+sMwCW0lZ2UKwvvLnJ+baoHY3oJzAhNXQQ7f5kGWVIOqE/Aj/QsFTiURCERV6y6M68ebrtPEM\nd9RL9UBuWVl1qjM7y8oyF5f8bdUClgVykRWWIOoHEqsE4TBYUn+2LFpIpAqCgFQqBZ/Ph5aWFsdO\nzvkiNF8EAc4Uz4Q+mFhUk+8Hy4Kp1MFYaguskXRa+f0An1mB2XtqP1iWjYDcCAiidiGxShAOQY9I\nlWUZqVQKyWQSHo8Hzc3Njl4GJXEwPCnkB6u2wmr5wapTXBlNp6WGieVUKgVBEMBxnGLt9Xq9lE6L\nIGoMEqsEUWXYBM4S9geDQc3JlwVPud3uiqtOkSWTsBu1GwFD7QfLcgan02nFD1bLCmukLzXqLBrM\nlYDlnc3PCUtuBAThLEisEkSVyI/wZ3/5kyQTqQAcEeFPEGahJWCBzyyjoigW9IMtxzKqrsjF+gG0\nq3JROi2CcA4kVgnCZrQi/NlEqLZ2strsoigqpVHNnCztsKySBZcoBzvLyrJ/8y2+lE6LIJwDiVWC\nsBG9Ef7q8qh6I/yNQCKSqDUqLStrtCpXIT9YURRzMhJopdMiNwKCMBcSqwRhA3qDp0RRRCQSgdfr\ndXzwVDkUmsBZAAxBGKFQOi21BZaJS+Ziky9kK02nBSCnfbat2gJL6bQIojJIrBKEhegVqayGOgA0\nNTUNqfJj1dgIoh7RKhYgCILymdoKy4RlOX6wWlW52HVVyI2A0mkRhHHqy2xDEA6BidRUKoVsNpvj\nl6reJp1OIxqNIpVKIRAIDFnmtAq7JkhyNyCcArsGvV4v/H4/gsEgQqEQ/H4/3G634kfO8zx4nkcy\nmVSuX+ZaoLcfdT5ZtXsAS6cVj8cRi8UQiUQQjUaRSCSQTqeVYEuCsIOXX34ZkydPRktLC0488cSS\n22/evBnjxo1DKBTChRdeiH379uV8fvvtt6O9vR3t7e1YtGiRqWMlsUoQJqIWqSxNjpb1JJvNIhaL\nIZFIIBAIKKmoaKIinIJWZop6g1lVWenhQCCAUCiEQCCgZN3IZDJIJpPgeR6JREK5tkVRNOwHywSs\nOkBLvbISj8cxMDCAaDQKnuchCEKOHy7hPGRZxqK7767o9zGjjXIIh8OYM2cOli5dWnLbgwcPYsaM\nGbj77rtx5MgRTJw4ETNnzlQ+7+vrw7p167Bjxw7s2LEDzzzzDPr6+kwbK4lVgjAJFqFcTKSKoqhY\nVZhfqtlR/nogiydBaKP2gVUL2FAopFyroihCEARFwAqCgHQ6XZGAVf8Bgw+0TCRHo1FEo1HE43FF\nwBrti7CGNc8+i+V/+hOeeu4529tYvXo1GhsblT+fz4fJkyfr/v6kSZNwzTXX6LKqPvXUU+jq6sKM\nGTPg9XrR29uL7du34/333wcAPProo7j11lvR0dGBjo4OLFy4ECtXrjS0P8UgsUoQFcKW9lKplGKN\n0orwTyQSiEajcLvdaGlpgd/vH1J7nSYfgrCGSi3FrKwscyNgAtbn88Htdiv3AbUbAVvaL9eNID9A\nSy2SY7EYDh06hEgkQm4EVaBv5Up0XnQR7ly3DrH583HH00+j86KL0GdAoFXaxsyZMxGLxRCLxXDg\nwAGMGTMGV199Ne699160trZq/rW1tZW1vzt37sSECROU18FgEGPGjMHOnTsBAO+9917O56eddpry\nmRlQgBVBlIne4ClBECAIQt1G+BeDBDhRz9hVVpb1lb+tIAhwu91Ip9ND0mlp5YOtd7cOO5n3ne+g\n7aijsHDtWoDj8I9UCo/cfDNmTJ2K3g8/BAD0fmqxLPS659M25jzxBMBxEEQRSz5twwiSJGHWrFmY\nPHky5s6dC2DQf9RMeJ7H0UcfnfNec3MzYrEYACAej6O5uTnns3g8blr/JFYJwiBGIvyTySTcbreu\nCH87hZ3TRKTTxkMQ5VJOWdn8nLBGRGV+5gN2HWUyGarKZSHsdx5IJHDqypXYn0op7/XmLasXe81x\nHOR0erCNZLKsh4rFixeD53ksW7as/B0qQTgcRjQazXkvGo2isbFR8/NoNIpwOGxa/yRWCUIn+eVR\nC91UqDxqYWhiJIYjxcrKMgusWWVly02nlV/UgCjN7r17seLaa/H1Sy/FU889h91799rexqpVq7B6\n9Wps2bJF+c2XLFmCe+65R3N7juOGiE49dHZ24tFHH1Ve8zyPPXv2oLOzU/l827ZtmDhxIgBg+/bt\n6OrqMtxPIbgS1gwydRDDHmYRyWQyRUUqC4gotzyqLMs4cuRI2T5FRkin00ilUspTsVWwSOqmpiZk\ns1nwPA9RFJVJkf3LJtFAIGDpeKyGLfn6/f5qD6VimOXP5/NVeyimkEwm4fF4cooHOJH8srJMzKqD\nsZiITSQSCAaDZbsWMYsv+2P3K62qXMPJfSkfp678bN26Fd3d3di0aVOOv6heZFlGKpXCyy+/jBtu\nuAF/+ctfwHEcvF7vkG0PHjyIk08+Gf39/bj00kvR09OD1157DW+++SaAwWwADzzwADZt2gQA6O7u\nxk033YR58+Zp9l3kmGpOms6+agmiyuSXR9W6YavLowYCAUvKo5qNXTdfVpkqHo8jk8kgEAgolarU\nx5aNJZVKleXPRxD1QrGysmo/WHYdMb/VctwICrkwMTcmNVpZC+garS7r16/HwMAAzj33XOW9888/\nH88++6yu7//ud7/DhRdeCGDwXAgEArjgggvw0ksvAQC6urqwePFizJo1C+3t7VizZg1uvPFGfOtb\n38IXv/hFrFq1Smlr/vz5+OCDDzB+/HgAwNy5cwsK1XIgyypBaMD8ynieBwAEAgHNmzpLHO7z+eD3\n+yuyPjDLamtrq+UTgNriaRWyLIPneaTTafj9fgQCAWUSzD9OmUwGmUwGDQ0NyoRshj+f3ZBl1bnU\nimXVCPF4HD6fT7HGsnRWavcBM64bphNYP8PND9apltVahiyrBFEBWsFT+Slv2NIJm/zMKo9aLzd4\n9fFhZSWDwaDymRbMQqNefsr351MHpJg5EZsNTWqEHbDzrKGhYcj9iV0zZpeV1QocK+QHy0Ss0b4I\nQgsSqwSBwhH+bBmbbcOCp1wul1J1qhaxylLAjg/HcYo/LLNOlyJ/PCyvZf42WhNxfjBKtQRsPU3I\n9VbBql4fIvJ/o0JuBGo/2HQ6nePalH/dVOpGoH7AZFA6LaISanOmJQiTMBLhn0wmIcuypRH+Wpbc\nWkAURSQSCYiiiGAwCI/HoyQx1yMSjEyOxSZi9ltWakki6pPh+vsX84PNz0RQqftNIQELUDotonxI\nrBLDEq0Ify1/U+ZjyYKDqlEa1cmog8v8fn9VgssKJWYvZEkiAUvUA2ZU5FJXylK3W8z9ppzVCyPp\ntNhKCasMRum0CIDEKjEMMRLhn0qllKT+dtws7YzSr6QftV+q0cpcdh1HPRHVgiBopgSi5UliuFLM\n/abU6oWRFFdq66qabDYLURSHbE/ptIY3JFaJYQOL8Gc3wkLLVeryqKFQKGfZarij9tvVW5nLKZSq\nLMSWQvNLY5J/HTHc0bN6YVZZWeAz/1ZGoXRaTFhTOq36h8QqUfcYLY/a0NCgiDDmJmAXdqZIMdpP\nNptFIpGALMsIBoOaiaPzcXrKF62l0GK+fFouBDQx1ga16AtejGrvTyk/WDPLyhbzg2V95Gcs8Hg8\n5AdbR5BYJeoWvSKVBU9xHIdwOFyzEf5GMHLjliQJiURC8dv1+Xx1feMv5MuntiIVmoTZZE0QwxGt\n1QvAWFlZdk3p6Yv9m79aIkkSBEHI2Z7SadU29T8rE8MOvRH+zFIoSVJOBLsauy2DTrJEql0ifD6f\nIb/UcvtzMlo+cvmTMMt+wNKbkWWHIEr7waqDIAHkZCWwI52WWsTSaokzIe9kom5gwoFF7wPQFAmi\nKCIejyMWiynBQcMtyr+YKGbBU5FIBKIooqmpqez64/n9FDrGtXrs2STs9Xrh9/vh8/mUSGaXywVR\nFJFKpcDzPBKJBARBQDqd1p3SiyAKUW03gEphbgQejwc+nw/BYBChUCjHwspWvXieVwJe80s06+0r\nv1wsu5+xPuLxOKLRKKLRKOLxOARBUPxw65WlS5di/PjxaGpqwkknnYSf/exnRbffvHkzxo0bh1Ao\nhAsvvBD79u3L+fz2229He3s72tvbsWjRIlPHSmKVqAvYk7l6aTb/Rs6Ws6PRKFwuF1paWuD3+4ve\n8Kth6aymiMlkMohGoxAEAaFQCOFwuGYCqJwCm4SZgGWTMEvFI0mSImB5nlcELFsJIKyh1sWdWciy\njJ/1/MyR5xqzarrdbvh8PgQCAQSDwZyVr2w2qwhY9gDIRKVRAZuf55W5BoiiCEEQwPM8YrFY0XZk\nWcbdi+6uOLtKpW2Uy69+9SsMDAxgw4YN+MUvfoHVq1drbnfw4EHMmDEDd999N44cOYKJEydi5syZ\nyud9fX1Yt24dduzYgR07duCZZ55BX1+faeMksUrUNEykplIpJZVKoQj/SCQCWZbR3NyMYDDoyImr\nWmNi1mae5+H3+9HU1GRZ4YPhiNqKpBawfr9fsSKl02lHCVgSd86m3N/nhXUvYNfDu7Bx/UYLRlU5\nWpXsmP+41+tFIBBAKBRSHgDzVzAqvX60rLDFeHbNs/jT8j/huaeeM7yvlbaxevVqNDY2Kn8+nw+T\nJ0/W/f0f/OAHOP300+FyuXDKKadg+vTpeOONNzS3feqpp9DV1YUZM2bA6/Wit7cX27dvx/vvvw8A\nePTRR3H6NGxlAAAgAElEQVTrrbeio6MDHR0dWLhwIVauXGlof4pBYpWoSdgSUSqVykmXor55q5ez\nM5kMGhsblWUmvTjJh9RM2HFSW5vdbjeam5vrPoDKKRRaBg0EAjnLoGwCZsUXWI7LejwvCet4vP9x\nTJs0DRvu2oDrY9fj+d7nMW3SNDze/3i1hzYEPfefQisYhR4AmRuBWdfPyr6VuKjzIqy7cx3mx+bj\n6TuexkWdF2Fl30rb2pg5cyZisRhisRgOHDiAMWPG4Oqrr8a9996L1tZWzb+2tjbNtmRZxquvvoqu\nri7Nz3fu3IkJEyYor4PBIMaMGYOdO3cCAN57772cz0877TTlMzOgACuiptAT4Q98VqMegKXlUc3G\nLnHM+ohEIvB4PLYET5EALg3lgiWsYtbsWWhtbcUzNz4DDhzElIgFPQvQPa0bPT/7GXoXLnTEuVPJ\n/a9UOi0zy8p+Z953cFTbUVi7cC04cEj9I4WbH7kZU2dMxYe9HwIATuw9EQAKvv5Oz2AbT8x5YvA3\nEUTcvGSwDSNIkoRZs2Zh8uTJmDt3LoBB/1Ej9Pb2AgBmz56t+TnP8zj66KNz3mtublbcJOLxOJqb\nm3M+i8fjhsZQDBKrRE3AgqdY1aRCZT3VNerNKI9aj5ZVlk8WAMLhsKVC3gmTX61DuWArp96uYcD4\nAyDHceBkDql0Co+MfQSpAylwHIf1Gzfi4V27cObGjZh+8cUWjlg/Zp6velLRlSorW6zdxEACK09d\nidT+lPIeE6WMYq85jkNaTmPlqSuR3J8s63pdvHgxeJ7HsmXLDH2P8Ytf/AKPPfYYXnvttYLzQTgc\nRjQazXkvGo2isbFR8/NoNIpwOFzWeLQgNwDC0WhF+DOrkhpJksDzPKLRKBoaGkxfzrZrsrNSHIui\niFgshkQigUAgAACOCZ6qx4cCK1FPviwQJRQKFQ1EYZHUwzkTwXAX7X/78G+48uEr8eBbD6J9VgcW\n/fBu/HDDBsSuvx69zz+PSdOmof/x6roF2HVuqv1g/X5/jh9sfiBkIfbu3otrV1yLFe+uwLdXfBt7\nd+81PI5K21i1ahVWr16NJ598UrmfL1myJMeXVf3X1NSU8/3+/n7cd9992Lx5Mzo6Ogr209nZie3b\ntyuveZ7Hnj170NnZqXy+bds25fPt27cXdCkoB67EiTE872iEI2Al/FjgFHsvFouhpaUFwOCNjfki\n+Xw++P1+05ezDx8+jNbWVlsmOp7n4Xa74ff7TWtTkiTF31Gd1P/IkSOWL/8DuceP+ZFpBcHxPG/q\nk3g1yGazSvEEp6DOBcusSGoLUqFcsIIg5JTXrGXq5fxSwyyBPp+vrO/LsoynN2zALb/9LQ5ddx2O\nX7kSS6ZOxfSLL7bkXifLMh7o7cW/9fYWbT8ejyMUCjnmwYIF5TrxAW/r1q3o7u7Gpk2bcvxF9fLr\nX/8at956K15++WWMGzeu6LYHDx7EySefjP7+flx66aXo6enBa6+9hjfffBPAYDaABx54AJs2bQIA\ndHd346abbsK8efM02ytioND84cmySjgOJmjyI/zZH1sCFQQBAwMDkCSpolygpbDT6mdmX0zIRyIR\nAIM+RKVSdVkBWU2rS34u2GKR1OpcsFSNy9mU4wc+8PwAIpsG7wfsfppOpTC2vx+RRMJSl5FN69bh\n0MMPY/P69QW3ceL55hTRrMX69esxMDCAc889V7GcTp2q39/13//933H48GFMmjRJ+f6CBQuUz7u6\nuvCb3/wGANDe3o41a9Zg8eLFaGtrw5YtW7Bq1Spl2/nz5+Pyyy/H+PHjMX78eFx22WUFhWo5kGWV\ncAx6gqckScLAwIBiCQoGg5aXR7XLAgkAiU8njEoscyyKPJFIwO12IxgMai73DwwMoLGx0XJXAPXx\nI8uqc1FXFGIV4ABo+vA5eQLXol7OLzWp1KCPpNfr1f2d+B/i4NwcQhNDAICfP/wwTh45EtO6u7F+\n40bs2b8ft8yZY+o4V/X3Y+1DD2FCMokl+/bhjjFjsKOhAVfccAOuuu66nG2d+js1NTU5UkjXMkYt\nqxRgRVQdtkzJfFJLlUcFULA8qhXUkmWVHSNZlmsqCwJRfdSR1B6PB4IgKAKViVj1aodWIJdToWwU\ng4TPyRWBC+fMwVvxOARZtiy4aubs2WhrbcVb3/8+OAByKoU5PT34yvTplvRH1CckVomqwUQqS9xc\nSKSKoohkMolMJoNgMIhsNmubUK0VWL5UZtXTG1xG1gKiGMVSATE/2EwmA0EQcpKpl1PTnTAG8zuu\nlAc/+QRLR45EwKKVI3YOpLJZfH/sWMgHDhQ8L+ihgigE+awStsOWG9UR/oXKo7IIf7fbjZaWFkWE\n2Smy7O7PSF+yLCORSCASieguIcuwa1Ign9XapJBwYKKUFTNgmQgCgQA8Hk+OG0oikTA9GTtRHlJa\nwr6b9w05/o+edBKOsXgF5qM9e/Dl5cvxo7fewgXLl+OjPXtMaVeWZfT8tIfOqWEAWVYJW8mP8C9W\nHlUQBHi9Xtv8RZ2AXgHJfD8TiQQ8Hg+ampock4aqHNh+k2WlNqFcsDWACITOqU6U/XcXLoT7zTch\nxuNFl/+NXv/rnl+Hh19/GGeediamX0puBfXM8FAARNVRl0ctJFTV5VGz2Syampo0y6PWu2W1FJlM\nBtFoFIIgIBwOIxwOly1UnbRfRH3hpFyw9fgQZHSfXAEXjrrqqJz3Ps5k8KdP4wCspmHVKnCfZiap\nlP5f9WNS9yTc9eu7EJscQ+/jvZjUPQn9v+o3pX3CeZBllbAUo+VROY4rGRhUz2K1WF9WVOciCLth\nFlU1ah9YrWpChXLBEpWxWxDwh3gc44NBy/tK6aiupFeAz/7WbLS2teKW/lsADkhlUuj5fg+mTyHr\nar1CYpWwBL3BU8yyIoqirRH+tYQkSRAEAalUCn6/v2CpWafiNMs04TxYLlg1ahcCtRtBPaTSMgOj\nltWDjx6Ed7QXTV/+rILReY2NOO/Tcpm1xGc5YtMYu2UsDsQPgIO1riTD8RxzEiRWCVPREqla/qb5\n0etGBNhwsawyt4hkMmmJ7y6JSMLJFMpEkJ8LlgSsPgKnBuBurZJfezwO9zvvQPzyl4tuZkSA79m7\nB8sXLMe0KdOw/vn12LPPnKAtLdQ178ulUGUuWZYxZcoUvPHGGxX3Uc+QWCVMgQVTqIOnColUZiX0\n+XxlC7B6Flnq4CmXy4XGxkbLCx/YCYkIolzyc8ECuQK2UC5Ytt1wJjQpNOS912IxnBYMotni4Ezu\nyBE0PP10SbFqhIU3LEQsHYMoi44Prip27rGHLaI49TMDElVDb4Q/sxJ6PJ6KrIT1XC6UWYwSiQS5\nRRCEDvTkgmUrPTzPD/GBrVWhYEbQ2PojRzDK67VcrMojRyJ1//2ltzO4T4teXoTuE7sx/RRni1WG\n1r4xiytRHBKrRNmwFFOiKBZMP5Nf+tMMK2E9Ll9LkoRkMqmUIm1ubrZcpNp1HPX2w7YjcU5UijqV\nFgC43W6k02n4/f6cVFqiKCrb5bsQ1NN5mPkkgwNLDuCE/zgh5/2lo0ZVaUSVI8sy2t/8PKZ1T6v2\nUEpS7L4Wi8XQWIN+w3ZDYpUwjDrCXxAEANCM3mciFYDppT/rxWc1P6dsOBxWsiLUKyRIa4N6eyBU\ni9LhlgvWFXChdVpr9fp//31AliGNHVt0OyP3hnXrNuHhhw/hzDM3Y/r0r5gxzKoQj8fR1NRUesNh\nTm2ufxBVgYlUVo2G3bzzJzVRFBGLxcDzPPx+P5qamkwVqrU6YagplFO2HvaNqB/q/Xx0Ui5YoxgR\ndu5GN5ouzBVEH2cyeCMWs2JoQ3C9+y5c27aZ0lZ//ypMmjQTPT1bEBMXo6f395g0aSb6+1eZ0r4V\nFPutotEoWVZ1QJZVoiTM8pDJZIZE+KsvQPVStpUplmo9G0A2m0UikYAsy6ZbnI1Qj+4UBKGF4QT6\nwyAX7MeZDP4nHseXbBBK2a9/Xdd27HgWY/bsmWhtbcPC2/4HuOE0pFZfi96eOY62rpZyAyDLamlI\nrBJFyQ+e0qomxUSqneVR7RarkiRV3I4oikgmk8hkMggGg5pJ/etRQGrtE7kCELVGOblgrRKwRu8R\nB+45gKYLmxA+J6y8d3owiNNtKAZgNmxFL5XIYuxvZ+JAJFXTLhokVvVBYpXQhEXQsgCEQsFT2WwW\nmUwGHMfZVp++1gSdLMtIJpNKuq6WlhbH3FjtPo6FXEcIohbRkwvWymIGer/fMqUFno7qrOAAgPvl\nlyGecQbQ0lJ0O70PsXv2fITly7+MadMuwvr1m7Fnz0dmDdUSyLJaOSRWiRz0lEdlEf7JZFIJRAiH\nw1rNWYJZlk4j/ZUjrtT5Uj0ejy4xb3cBArth5w6AnByY6s8JopYpNxesOpDLbIKnD7Wgbo5GMT4Q\nwDE2uCE1vPACpDFjIJcQq3pZuPC7eHt7Eh8eiDl6+V8P8Xgco2o4K4NdkFglAOgTqcBn/paSJCH4\n6RISywhAfAbLhMBxXN0l9S8HFlDGCh2w18y1hIl4EquEFVT7vNKTCzadTue4W1mdC/Ztnscor9cW\nsZr66U91bWfEPegXG15C6nMv4zff+lklQ7OFUgFWZFktzfCeQQnN8qhaF5Xa3zIQCMDn8ymRstVY\nSnZqgBVL6C+KYllJ/e3eNzv6Ym4QTLiz1EDsMzZZszRedk3WxPDCKa43jPxcsMBQAVsoF6wRku8l\n8c///idG3Z9rvbt9xAhT9qNarLx9KoCp1R6GLoqJVUpdpQ8Sq8OUYhH+atTlUf1+/5D0StXwP3Si\nz6NdmRDMxOrjKEkSEokEstksvF6vcu6k02mlf/V5J4oivF4vXC5XwcmaCVirlksJopoUE7D5PrAA\nkEwmS+aC9R7vRft3223djxzicbhfew3ilCklNx2OgZdUFEAfZK4YhrAlJyYatBz9mTUsEolAlmU0\nNzcjEAgMi+j1fIrtI7MGRiIRACh4nIxSy8dUfe64XC54PB7dFmY2UXs8npy8l4FAAA0NDYrPK8/z\n4HleeUCohoWfIOxAKxes3+8Hx3G6csG6Gl0ITsj1Wf1nJoPnBgbsGX8shoZXXjG93TUbDkHIpExv\n1wpKBVg1NzfbPKLagyyrwwh1hD9QOHgqnU4jmUzC7XbbFuFvBCcIZHUZWZfLZZpfqp1WBbMD1fJL\n67JzJx6PV9Su3uVSLRcCssAS9UqhVFp6csFGslnsEgRcasM45REjkLr3Xn3b6rSsZjLAna8sxlFf\nmIULTvhypUO0HMoGUDkkVocBeoOnyimPyoSjncs31fZZzQ8yM+qXqre/WhJZoiiC53lIkjTk3LHi\n93KygK32g5RZ1No5WIx62pdiaAnYvy74K9rntaPh1AbFjeA4ScL1TU0QBMExxQyMXDceD/CXn/6X\nhaOxD57nyQ1AByRW6xgjEf7JZBKiKCIQCGgmqy/EcJkAmM8YW3ZWB5kNZ8w+JpUIPT0CtlDENVlg\niVrCiPg+9t+OhfdzXri91ckF6/rzn4FMBtJpp+navh6vw2K/lyiKwz5bjB7oCNUheiP884VGuUFB\ndlsCqxExL8syIpEIfD6fLRW67KCS48hSTyWTScNVywr1a8X5Y7eArceJlqhtAmMDQ957IRrFOL8f\no30+y3PBch9+CI7ndYtVPez/m4w/f/QRus853rQ2q0G9rMLYAYnVOkJvhH9+RSUzxJdTU0lVgjqp\nPwsyowpd5eWQddL+kAWWGO78LZ3GKK835z2rcsGKl+rzjDVi8Njxlzhu3j4T75/zhq7tq02pfaN7\nSmlIrNYJLE2QJElK+p981NYwvRWV9FCPF1q+/y7P844LNLMblms3m80achephfPDqIC1o+oQYR4s\nyKhe0Cvsoi9HMfDcAEYtzc2xOufoo3X1U0kuWOZCYMW1MfWiRky9qDaEKjB8fKathMRqjaOO8Gf/\n+ny+nG2silxnVDvgyUzUxQ+CwSC8n1of6mX/yulHbYnXyrVbr5QjYNXbDIdjRDib0KQQfCf5Sm9o\nACO5YGVZRuCllyBOnAju6KML5oJlbdTjNVPsHpvJZMhfVSd0lGoUreAplkxdTSaTQTKZhCzLuiP8\njVKtZWszb275rhEtLS1K2+pqS/V4My2EOo1ZQ0ODI9OY2U0pAcv8xHmeJwssUXXcYTfc4dxr9nA2\ni+cGBvCtdvMKBaivC7X4kiQJ3m3bIJx6KjLZbE4qrUoq1G16I4LjR2YxbtRRpu2D1Whd+5S2Sj8k\nVmuMYhH+atGoLvtpNMK/3HHZhZn7ke8aoeW/a7fAcILPKkvPZcZDjhP2x0rUE7XL5UIqlUIgECAX\nAsIyKnlwTkkSDn86f1iNy+VC9oc/RAM+ExuFcsGy/clkMiVTaa14/UW0ff59/OeoO23Zj0oolWOV\n0lbpg8RqjaAnwp8leed53tayn9WYbM3IQFBOoFA9oSUiq5meq55EbSELrDramgQsYTXvX/Y+TvjF\nCfCN/swVYITXi5uOO65qY9LKBctc1Zj/a34qrfxcsL++/RtVGr25kFjVz/CanWsQNsFls9mcKEyt\n7dLptJKzzc70StUQGZX0qbY6603qb2d6rmocz0pSURH6KBRt7VQBW09uL/W0L4D+lazRD42G5zjz\nXb90w/No2LAB2Rkzim7GHu7cbjf8fj8Ae3PBWkmxcy8ajZIbgE5oNnIwbPJS+/nkn/RMZEQiESUi\nMxQK2So0asUixqzO0WhUEfRGItprYR+Nwh5yIpEIMpkMmpqabD9/hjNsgvZ4PPD5fAgGgwiFQvD7\n/XC73crvw/M8eJ6HIAhIp9PKCgsxfCl135JlGcseXjbEJPXswADeSyYtHNlncIkE3Nu2lfdd1bXh\n9/uVa6OhwYdfPfMPJDIJpFIpx18bxcZCPqv6oRnJgbAJSp2UWUukptNpRKNRpFIphMPhqkVpO92y\nKssyBEFAJBIBADQ3NyMQCDj+adxqmMUikUggGAwiHA5bEkCV/1s5+bg7gXIFrCiKjpqkierywroX\nsOvhXdi4fmPO+0lJQtam80Q++mikfvxjfdvqsH5zHIdUyo0Hdv4Yf43/teS1wVya2MpktSi0X/F4\nnNwAdEJuAA7CSHlUrdr0LFXIcECPWFWn7HK73RVFs9spyK0Wc+rMBxzHobm5mQSkw9HjQqBVcagW\nlkkJ4xTLG/t4/+NY9dAqnHDkBFwfux6P9T6GB3/yIK664SrMmj0Lf+rvx4yFC20esXk0NgLv9j6s\nvNZTzKAauWDVYyE3gMohseoA2EWVyWQAFBap6hygWsEvTFDZ7Z/lxCVydTS7Ol/qcEZdkcvj8SAU\nCikBZkTtQQJWP/Xms1qMWbNnobW1Fc/d+Rw4cBBTIhb0LMDF0y/GuhdewMO7duHMjRsx/eKLLR+L\n6913gUQC0tlnl9zWzN/IaC5YLf9wO86XeDyOz33uc5b3Uw+QG0AVYZbUVCqFTCajXFz5FwmrThWN\nRuFyudDS0gK/36+ZDaAaOMkNQJIkxONxxGIxeL1eNDU1mSJU7basmt1XNptFNBqFIAhobGy0bMmf\nqC56XAi0/PzIhaB+YEIrGU2if2w/EpEEXn79DZw9fTp6N2xA7Prr0fv885g0bRr6H3/c2rH84x9w\n/e1vpra5a3cWT7++2/hYVHlgfT4fAoEAQqFQzupkNptFMpkEz/NIJBLK3FzJqmWp1FXNzc1ltTvc\nILFaBdjTXTqdVqyphYKnmK+lLA/Wpg8Gg0VFqZOEo519sqXtSCQCl8uF5uZmTUE/3FCLd7/fj6am\nJttTdGmdH1rnixMt9PVAKQHLLLD5AhawN38yoZ9iAijxpwTef+Z9fHP5N/GLt36BK5dfic+POAF3\n3nADBFEEOA4pUcTiBQswe9YsS8eZvfBC/Gz7dt2V8vTcr3fsOYS7/3ibGcMDAEXAer1eRcCGQiEl\n+JataOYLWL0PeMX2i3xW9UNuADbD/GfUgVOFgqeSySTcbrehHKDVmvCrNanZVWWp1iyr7EFHEIQh\nFbnM7IeoTdQuBKzgQ36qIACKm8hwdiGoOWTg21d8Gy2XtQAALp4+uNz/9IYNiCWTGNvfjwOCYMtS\n96Z163Do4Yex+cwz8ZXp001p88pLjsWVl6w1pa1CFMoFy64NPblg9UDZAPRDYtUm9AZPsYAgAGVV\nDqqWldNu2JKNIAgAyjtW9YiZQWXE8CJfwMbjcQSDwZxJmkVV12Kuy+FC8LQggqcFh7y/529/w/Jv\nfhPTuruxfuNG7Nm/37IxrOrvx9qHHsKESAT3x2K4o7cX//2Tn+CKG27AVdddp/kdp/sVl/IRL5QL\nVpKkgvdgcgPQD4lVi9ErUs0sj1rtJXmrYTcFdfCU1Te5WrCsmlkilSCAz/z8illga0XAOmkslaIl\n7JK7kvCd4IMroO3d1zZ9OiKfzj9WB1fNnD0bba2t2HLTTeAAyKkU5vT0mGJdXbPxE4w9RUbX6GMr\nH2iF6FmhUFti3W433n77bQiCgDPOOMM2y+oTTzyB3t5e7Nq1C1u2bMGZZ54JAHjrrbcwf/58Zdy9\nvb342te+Zvl4yoHEqkXoKY8K5Ja3NKM8aj3nWZUkCYIgIJVKwe12K47yduDkJfNyS6TatU9OPnaE\nNsV+Lz0TdK0I2Hri4MqDaJnagsbztH0gp7S0QLAp1yib7wRJwvfHjoV84EBJtwO9ltUntr2IU+UY\nukZfb+aQTSP/+mAuaszK+v7772PVqlV499134fP58O1vfxtnnXUWzjzzTJx55pk4zoJSuOPHj8fa\ntWsVYap+/5133oHL5cLHH3+MCRMmYNq0aY4sCkNi1WSYJTWZTCoRhoXKo7Jclz6fz7TylvXos6ou\nBerxeNDc3IxUKlW3AojlzC1FrZZIJbFSO+j9rUjAVp+RPx1Z9PPjbF5p+WjPHnx5+XJcNG0aNq9f\nj4/27DGl3VW3XWNKO3bBcuKy6+O6667DddddB1EUcemll+LKK6/Etm3bcP/99+OPf/wjfD4ffvjD\nH+L6680T4+PGjdN8PxAIKP9PJBKOnj9IrJoEy+HGogR5nkdra6tm8JRaeJntU1hvPqsseIrjuJxA\nM72CziycZh1kfqn5x6UcnOQr5qRjTFQGCVjrUF+zUkqCy1dcZEREEc02+67P9XqRnTgRMsfpWv7X\nex+SZRm99/ai9/bemj5H2Dl+1VVXYdanWRlkWca+ffts3a+33noLs2fPxr59+/DYY485VrCSWDUB\nFpHOIvzZSai++NSBLy6Xq2KBUQgnpJEyA7UPrzoP3nCh0PE087g47Xg67YGAMJ9qCVgnPZCZiSRI\n+PP5f8a4TePgbtIWo2lJwnnvvYc3Tz0VYTsFa1MT5HDY1CYFAfi3H/8Xntn+3zjztDMx/VJzMgxY\nSalzT/0Zx3E44YQTyurnq1/9Kj7++OMh7y9ZsgSXX355we+dffbZ2LlzJ3bt2oXvfOc7uOSSS2xz\nrzMCiVUTYCeb2idHPfHmV1OyUnjVuljN978s5MNr937aHWCVj9ptxAzfZjshEUoUoxwBW06aoHpC\niYPwcxj7wtiCQhUAvC4X3unqgsfm45T5zncMbV9K1PX/qh8PrnwIf/V+hMxX4uh9vBc/+Y+f4IZr\nb8B112pnGHAChfbL7Hviiy++WNH3x40bh3A4jJ07dyoBWE6CxKpJaOWwVJdHrceo9XwqsV6o84Lq\n8b8cLgLIrjyyBOEk9AhYM/Jc1gMNraWncbuFqhXM/tZstLa1YvEvF+NvXBypTAo93+/B9CnOta4W\nm6MEQcjxGbUL9Zj++te/4vjjj0dDQwP27t2LXbt2YfTo0baPSQ/OdE6ocdgNled5uN1utLS06I7Q\nrpRa81llYiwSiSCbzaKpqQmhUMhxfjPVSF2VzWYRi8UgCAJCoZAlJVKHi+gnah91JS6/369U4vL5\nfHC73RBFUanElUgkIAiCEkNQb6T+nMLf/r10GdPdgoD3kkkbRpSL/1/+BTh8WPf2eu5BbOUywkcw\ndstYROIRcLC+sIEZaI3RzoIAa9euxciRI/H73/8eU6dOxZQpUwAAr732Gk4//XScccYZ+PrXv46H\nHnoIbW1ttozJKGRZNQkW8MOsg8BgpJ3f77d9HNUQH/k+unqoJC9oPYssSZIUoWqXRZ4gahG9FlgA\nSCaTdWGBlWUZDcc3oGVKS8lt3xcEDGSzONVOC54sI3PVVUBrq+Gvlvo91vzuJdzwlfuw+N+uxvrn\n12PPPnMyDFSDWCyGsMk+vYW44oorcMUVVwx5/9prr8W1115ryxgqhcSqSbAnelY1yOlpIMzGiHiU\nJAmJRAKZTMZQXtB86s1nVe0KAcC2VFRW71c9P1gQziNfwMqyDJ7n4fP56saFwN3oRvhLpYXO1JbS\ngtZ0OA7iV79q6Ct67w9cZytavP/PYGGDGg+uikajVGrVACRWTURtHXS5XFW1cDqx3/zcslr16o30\nZydWH9d0Oq2USA0Gg0ilUrYIVadNzCRqCasoZIE1s9a71cTfisPd7AY+V+2RmI+eY/zLb99lw0jM\no5hYtdMNoB4YPqY/i/H7/UOWsZ0qGq2iUL8st+zAwAAkSUJTUxOCwWDFlbrqQdiIoohYLIZEIoFg\nMIjGxka43e662LdCFPrdnSIIiPpN9aSGWWC9Xu8QH1iXy1XUB7Za12fqwxRS+1IlfxtZlvGDffsw\n8GmZb9tIJBD84heBT10v9KL3eMqyjJ6e/6iL+2MsFkNjo3a1MWIoZFm1CLuT1qv7rZZI1oLllgWA\ncDhsar36WnYDUJeOrWYqqnoR/QRRCCPnt9qFQP19p1hgj5p5lJLerxgSgLNCIdsLASAQQHL1aqCM\n+3ypY7f2/bV45bE0/vd/H8KZZ27G9OlfKXeUtkGWVfMgy6pJaKWuGk6W1fx+mcWQ53n4/X40NTWZ\nKlRr1erDrMyRSASSJKG5uRmBQGBIYuh6EpD1tj9E7VHpKk61LbDpA2lD27s5DlcddZT990mOg1xG\nUug8mG8AACAASURBVPtSx6m/fxV+cNdP8dTad8Dz96O39w+YNGkm+vtXlTtSWyglVpubm20eUe1C\nllWLqJaYqrZYtctiWItFAcwskVqrsEpumUxGsWDV6oMHMXyx0wIryzI+nP0hRveNhm+0r6SLhiTL\ncFXjmpLlwRJTZWYeKLZPs2fPRGtrGxZvfQsRcEilZPT0zKkJ62oh4vE4Tj755GoPo2YYfrOlTVRb\nNNoNy5eaSCR0JfU3s1+nix2W/SCbzSIQCOhKRWV3Tlc7UJeKdblcOSWK1X66tfCbEkQ+VglYjuNw\nyvOngHPpuyZWHDyIv2cy+P86OkzZL71wBw4gMH06Em+/bX7bLMdqJIWxY7+PAwfknIqRToXcAMyD\nxKpJOMUNgGHXhM8sZdls1laLYS1kA1CnovL5fGhubtY1bqffgMtBkiREo1FlGTWTySgZM1hOTDaR\n8zzv6IhsgtCLHgGbTqchy7LmOc/aUAvVUveh77S3I1KFQgjy5z6HxJtvlvfdEvPVf239L2zeEMed\nd07GggWTsX79ZuzZ81G5Q7WNYr8ViVVjkFi1CKcFOlkBS+ovSRIaGhrgdrttXdoupxCBHTABz1JR\nDdcSqew48DwP4LO8serAQ/VkznEcMpkM/H4/ldUkTMNp9wi9Aja9L42PF36M0WtGo6GhYYiALUQD\nx+GoarkYeb2WNHts6FhcPHkGzjv9WHCcVFPL/2RZNQcSqxZRTcuq1SKORaOm02klqb8gCFVzP7AD\nvb9nJVW5jPZlBlb1JYoieJ5XjgOzluodU6mcmGprFBOvTPA6SZgQhB60BGxgbAC+ZZ+VkmXnPDu/\n2eqE+qFtVzKJU/x++31WBQHcxx9DLrOufKn56opTrgBOAQbzHNQO7B6lRTwepwArA5BYNQknuQFY\n1bd6WVvLL9Xu/bVTlJQ6ploCvtLxOc0ipAd14Qd2HLSOm9H9KmSNEkVRKU/LJnO1eGUTea0dR4Jw\nuVwInhzMeY/FBmg9tHEuF76/dy9+eeKJONrmEs2u//N/4L3vPgi//KVtfdY6ZFk1BolVi6gnscpu\nkMlksuCy9nDNEcpSUSWTSdMCy2pRWKkD7Dwejy0PMhzHDXE7Ye4Dah9YAAX9AQnCacRejyH7zyxa\nr2gd8hnHcYqvt9/vB5C76vD06NEQs1nwn1pd1ee7lW4zUldXRUK12IP5j17/ETLbv4GvfbELZ51V\ne5bVQvuVTqfhtchtoh4hsWoShSyr1bCOmSni9C5rVzMLgd39qZfhaj0VlRm/m/ocMbvwg1HyhSi7\nBtX+r6IoKpN+vgsBMUgtWvULUWv74m4x5t9uNIjLLgFrFt0nduNgugPHHFN7uZpLnXtOP/ZOovZm\n1xqhmiehGQJEFEUkk0lkMhkEg8GS6ZaqIVbtdgNgqFMwBYNBeDwe08fi1OAxNZW4Pti1b8wFwOVy\nKQ8TTMAyF4L8FFr5LgQEYSfBrmDRz7WunT8lEvhbOo0pLS0ASrvNmClguY8/Brd3L6RzzjGwl0P3\nqdBqxxc/90XgcwBQe2K1ENVeEaxFSKyaSL5gq5bgqEQ4qn0OfT4fWlpadKdbqoZYtbvPRCKBdDpd\n1RKp1caMnLrVfphjApahTqElSRJSqRRlICBshX+bR+DUAFxB4y4qaVlGpsS9UMttxgwBy+3bh4Y3\n3kC6ArFar5Bl1TxIrFpILRUGyPc5HK7plrRgxwaAUiLVap9Hu84do/2ol/yNuj6wG3ex5OfV9PMu\ntJRqNIUWWU2Icjj8vw/jqKuPQvD04pZVLc4KhXBWKGT4e+UKWHXmDenss5E++2zDfef3qXVf+NcX\n/hXZt+bg2skTce659ueOrZRC+8XuI4R+SKyaSCHLajUw0q8Zvpf1allVizOO4xAMBoflTaaSJf9a\ntR6Uk0Krmr7qRG0z8r6Ruraz+twyQ8CaxQ+++AMMjDwGI4+trcCqUsTjcYTD4WoPo6YgsWohTi8M\nYKbvZb2JVVYiVe2zG4lELOmrEHYdz2L9WJHtoJbR4wsIADzPUwoth+D0BwcxLsIdLm8VS5ZlXPPB\nB/j5yJEYYWFkeSEBi3feAf75T6QmT65IwBb6jUY3jwaagVr0Vy1VvYrEqjFIrFqIU90A1FYys3wv\nnZBGygzUuWTzfXbtTtZf7X6y2Sx4nrck24HTBYQR1BM5u7aCwaAiYCmFFlEIMSpi14W78IXXvgBX\noLxz4fvHHovjqpCBg+M4uCQJLkkCp0qjZZYFVpIluLjavz609pNyrBqHxKqJFEpfVY1xqEtaMqy2\nktWyZVWW9ZVIrQdBXgr1w4yeTBB6yA82rBehWoh8SxSl0CK0cDe58YVXjQlVdeQ8x3E4u4oWOuns\ns3NqSpXrQqA1X12z/hqkXv0+Fkz5f/GVr9SPvyoARKNREqsGIbFqIU6xrKqFmMvlsiQnKLso7bSY\nmXV8890hCiVqtjtVlt0BVrTkbx2UQosoRDnR/wCQlCS4APgcfo2WErDZbBYAkEwmc875h6c8jNiX\n3Aj7a0+oAsXnwng8jsbGRptHVNuQWLUQJ4hVFiAkSZJlOUFZn7VGftBQKXeIenF10KIeChzUGoVS\naKkn8vwUWiRgjeNEl5P4/8Qx8NwAjv/x8Ya/y+5BGyMRbIpG8Z8nnGD28HTRsHYtZJ8P4qWXGv5u\nvoCNx+MIBoNK9o1sNgtIQNifhcuVQCplXRBXNSA3AOPQjGQiTnMD4Hne1Fr1evq127KqtXxUilqw\nINp17rC0XKlUyrQl/3Kp54cBvZTKASuKIrLZrOU5YJ0o8OqJwPjy8qkyOI7D9NZWXPppEYBqIJ10\nEmBCekN2zasF7BHhCPyuFvj9yLHA2pWFwAzIDcBcSKxaSLliqhKY+BBFUbNGux3920U54qYSC2I9\niSkm2AVBgNvtRnNzs+XpcOrl2NlNOSm0nDyJE4A77EZwgvF8qvl4qvjbShMmmNqe+jy9efPN+OfG\n2VjQfRGmTs3dx3wXAnbuqx/anHDuF7vf8TyPE6pkEa9VSKxaiJ0TNBOpzO+H5QS1EydPiqx8bDab\nRSAQqKoFUQ9Wnjtqwe73+8mKVoPoSaGVP4lTCq3qE3kxAu9ILwLjAmW3IcsyXo7F8MWmJjTWaeGW\nFZeugHQJIMvZIZ/p8YF1ioAtZlkln1VjkFg1kWq5ATDxAQChUAgulwuxWMzyfvOx23qmp7/8VFSV\nWBBr3TrIcsdms1nFfzmVSim5QYnaptQkzlJoaQlYp7nBmImTrtns4Swa2iqfdtcNDOCMcLhqYtV7\n990QzzoL4iWXVNyW1sPy4MOY/jacKGCLGQHIZ9U4JFYtxGpxw6yF6sT1zPWg2oFd1e5PnQGhoaGh\n5srHmp2Wq5Bgr3UBThRHaxLPLyGrlUKr3s4Jp1iSj5p5lCntPDBqVFXvZ5lvfQuwaOVuz5E9kGMj\nMOq4ICqpc1Ds3K+2BZbEqnFIrFqIVUJAlmUkk0mkUin4/X6EQqGcC4v1a/fyrlOEj7pEaigUUvz8\nKsUp+2eETCajVFOqpmCvxWNXr7BJuVQKLQAQBIEyEJiA8H8E+MaYE+TqBLcd2UR/y/z96dvWh/0b\nr8C3zz8XU6aYu+qjtYpglYAtlbqqubm5on0ZbpBYNRGr3QDUUezFgqeqfSOzi/zjW0n9er3YKbgq\n6cvMUrp2QoLWfrQyEGQyGWQyGbjdbkqhVSGyKGPvTXtx0oqT4Dm2/AdnWZZx/U9/ilOvuQbfO954\nyivTkCTAQreR+ybfB0wGAHvck8oRsHr8v9XFG/KJxWLks2oQEqsWYqZYNRrFbncaKXWfdvdnVyoq\nO/ev3N8tf8m/lnLHkuhxDmwSVq9KVCOFVj3AuTmc8uwpFR+TdS+8gPV79qDjD38AqihW/d/6FjLX\nXw/x/PNNac8JluJ8SgnYYv7feiywVBTAOPXrVV8FCllWK7WQxWIx8DyPQCCgO91SNURINfqUZRnR\naBTpdBqNjY1KgJkVOEnYaZFOpxGJRJDNZtHU1IRgMOi4SYCoXVgGAo/HA7/fj2AwiFAoBJ/PB5fL\nBVEUIQgCeJ5HIpFAKpXKmdSrRbXEkCzLWPrDpRX33//445g0bRru2rAB/PXXY+3rr+Ocr30N/Y8/\nbuJo9SHLMn46ejSyZ59tSftvHXgLr7z9Txw65Lz7FnOd8Xq9CAQCCIVCOatWmUwGyWQSPM8jmUwq\nbjVa578sy7YUXnniiSfQ2dkJt9uNP/7xj0M+37dvH8LhMH7+859bPpZKIcuqhVRyg1Ivafv9/pIW\nMq2+61msiqIInuchyzICgUDNLHPrxcix1FsuthB2l3Ul6odyUmg5JQ+m1fx2+W/x5//8MzaeuREX\nf+3istuZPWsWpKYm/HTDBoDjIIgiehYswNcuLr/Nctm0bh0OPfooNp9zDr4yfbopbarF/O/2/w57\nX/LCc/5x+NKXnJ+lpJgFlmVayWazkGUZDz74IOLxOE4//XR4PB5bHqLGjx+PtWvXYv78+Zqf33LL\nLZg6daolfWezWRw6dEgR+W63W/m3nCwkJFZNJn9SNrocb+aSdjXEgdV95geXZbNZw+KsXJwmuPKP\nhdEHGoCW3gltKplIy0kjVE8ptB7vfxyrHlqFk7InYYG4AI/d9RgevPtBXHXDVbj6uqsNt8dxHPan\n04gkkxj7yCP4KJWyXeiv6u/H2ocewoRUCvfHYrijtxf//ZOf4IobbsBV111nWj8/OOcHwDmAXf6q\nVsDO43Q6DZ/Pp/h9n3POOXj99dfx+OOP4+2338YxxxyDs846CxMnTsRZZ52Fs846C6NGjTL1dx03\nblzBz55++mmcdNJJCIVCpvWnZufOnfjxj3+Mrq4ucBwHn8+X8+f3++F2u/H5z38eZ511Vsn2SKxa\njF6Bo061ZEbkdjVEiJVijhU9SCQSSnAZx3FIJpOO9HmqFJaCTAuzz5VqUG+/F1GcclNoMQtsrSCL\nMi7vvBytd7biucXPgQMHMSViQc8CXDy9fEto0+HDePjKK3H5V7+KJ555Bh/s32/iqEszc/ZstLW0\nYMu8eeAAyKkU5vT0mGJdrcf7N5C7Xy6XCxdccAEuuOACyLKMKVOm4IknnsA777yDd955B/39/fjX\nf/1XLFu2DN/85jctH1s8Hsd9992HTZs2YenSpZb0sXv3buzcuRPf+MY3sHfvXqTTaUSjUcXA4vF4\nsHXrVpx88sno7+8v2R6JVZMpZFkthhWplqrlBmBFedlsNgue5wHAcIlUM3GCZVW95G/WuWJnlTWC\nYJRKoZXJZCAIguJqkO9CoBc7xVDm7xn886F/gpvOIRlJon9sP4QDQlmW0N8cOoQBUcQNxxyDhXPm\nABjcl6kXXYRwOGzF8AvCcRw4lwuC14vvn3gi5AMHTLfuPv/B8zj8l3E499STcMIJ9XuvyGQy8Hg8\n6OjoQEdHBy6//HIAn53/RvnqV7+Kjz/+eMj7S5YsUdrOp7e3FzfffDOCwaBl9+UzzjgDv/rVrzBx\n4sSC22zYsAFbtmzR1R6JVYspJnBYRaFMJmN6qqV68FlVHx910QOtPuvtyTz/WJqx5F+oHztwqrgg\nnINWCq1COWDVAtYJKbSktASX1wXv8V6ctPIkvPTzl/DN5d9E97RubFy/Efv3GLeEfrmxEfmP/tW4\nNlx//jOk44/HR3v24MsPPYSLpk3D5vXr8dGePaa0z/bpE/4T/PWvJ6FzBFcXYrXQb1UobVW54v/F\nF180/J233noLa9aswW233YaBgQG4XC4EAgEsWLDAcFuFGDNmDAAgEolAFEW0tbUhlUrh8OHDaGxs\nRDgcxiWXXILu7m5d7ZFYtRgtAZefXqilpcX0G1C1rIBm9GnH8SmHamU7UFfisiotl90UKrFIEGoK\nCVgnpdA6/MRh8Ft4jLxvpPLenIVzlP8bWf4fyGYhAWhraECHTb74pWhYvRriBRfguwsXKu+ZFVzF\nkGUZHzz7AXpv/zY4zvzVObspNk9Eo9GqpK1Sj+nVV19V/n/XXXehsbHRVKEKDK6INjQ0YNOmTUin\n05g1axZeeOEFPPjggzj77LNxyy23oLW1Vfd8VvuznsMoVhiABU+xJw0r0wtVy7JaCcwv1Uj6Jbv3\n0848q5IkIRaLIZlMIhQKIRwOmy5UneDaQBBG0JNCK5VKKSm0mKi1KoVWy7QWdPR0mNLWowcPYs3h\nw6a0ZRbp3l6IF1xgWfuyLOO3G3+Lh19/GOufX29ZP9WgkGXVrlKra9euxciRI/H73/8eU6dOxZQp\nU2zpV82LL76IRCIBYDCV1pVXXolPPvkEv/nNbwAMurbpgSyrFsPEALOOATC1BGipfu2kkj5ZKipJ\nkgwdn1pI1G8U9lCTzWYRDAYtqcRFEPVEoRRakiRBEIScFEJaAVxGr69PHvoEoUkhhCaG4PK5AJ85\n+3HTsccWHYtdbgCuXbuAWAzSpEmW9tP/q34s/+VyfNL0CWKTY7hzxV34yX/8BDdcewOuu9a8LAN2\nU+x3srN61RVXXIErrrii6DY9PT2W9K0OLkskErjvvvswevRo/Mu//Au2b9+OYDCYs10pyLJqMUx4\n8DwPv9+PpqYmy4UqUDtiVZIk8DyPaDSqpOqy4/iUg9XHlJ0rAwMDStJov99fF0JVfeyYOCCLLmEl\nTMCytDmhUAihUEjxfc9mszlJ3NkDop4g0UBnAJ7jzLlPrTtyBG/EYsqY/y97Vx4nRXVuT1X13tPd\ns7CvAwwOi+CTEUGjgiDKDgOuqElAjWIM8UE0iUuYGDVREZUoiPJIXIIYRQKiKIgIYmJc8GlcxgcD\nKDAssk1P713L+6PnFjU9vXdt3VPn98sv0t1T91bVrbrnfvd859MDqP37Qe/dq3g7s6+bjTtuvQMM\nGIAConwId99+N2ZfN1vxtpVEOrKqVmRVS5BdwPHjx+Pbb7/FunXr8KMf/QgAcOLECZSXl2d1PCOy\nKjPIACUr+kgkApPJBLfbrfqLSM9kVS4/2WIhPVJHCJLpGwwGFW+3WK6fAQOZIB8LLd8/fSg5P5bY\n6LpIvshYmckEl86s57hx41Rphyxcw+Ewqj+uRmOoERSKu1hEeyGrZG6ZOnUqBgwYALfbjS5duuDQ\noUO47bbbUF1dDQAZz/sGWZUZJDkoGAyKmiotMjj1/LATSQRFUXlbUaktA5C7LWmlMqkjRDQalbUd\nAwYMJEYyCy0pgQ36gzj09CF07dEV1q7WvD1gIzwPE0WBpihclMWWsJJzCbV3L0xvvIHobbcpcvx4\nPPHxE+jt6Y093+3BU3OfwvSJ07F+43o0fC+Py4CWMCKrp6/BCy+8gLFjx6JLly74xz/+gU8//RS1\ntbUoKyvL6niGDEBmhMNhsU59SUkJGIbRJHKlRxkAx3Hw+Xzw+/2w2+2aeqZqDWmyHQB4PJ5WW/7F\nFvGMP59kyS7Fdt6FivZsH0aiqiaTCWaYYbfbUeIuQdVzVbB1s4mJoH6/H36/X9xB4zgu47G78OBB\n/F1niVRwOiF07qxac5OrJuOCHhdg3k3zcGDPFfj0UwbTJk7D/Fvmq9YHLeDz+TRxA1Ab5Fl4+OGH\nEQgEcOTIETzwwAMQBAHz5s3D/iwLW7RPpqAgSAkxrUmHnshqvEeo0+ksSD9ZudqSbvlrTdjVHidE\no0wix/F2QwZRNSA3ciXe4b1h7JmzBwPeHSC7hdZvunVDic4s6IROncCqUD2J3I9+ZTEfTr/fj//6\nLw5duyretGpIF1n1eDwq90g7mM1mmEwmPProo7jhhhtwyy234Pzzz8+66qK+npYiQHxmaXsiqwSJ\nrLp4nofb7Ybdbpc1YqOV92kuIEStubkZFosFbrc7KVEttggjccRoamoCwzBwOp2i0wHDMKLdEACE\nQiGEw2FEo1HF7IYMGEgHax8r+r/WP+n7KlsLre0nTuBAi5WWm6bB5PAelD3ifeIEbLNnA5GIfMdM\ngff3v495m+e1+kwQBGzevBjduhW+vyqBIQM4rUW94IIL8Je//AXbt2/H2LFjAcTe8dlGl43IqsxI\n5bOqdj+09FlVooSs1sh1kpArmUxJKLntG41GEY1GQVEU3G43GIZBpGVyJBEoMj58Ph/MZjMEQQDL\nsohEIhAEoU21Ir1dPwPFgebtzQg1hNBxdkcAgKksuykylYXWpydPghcElLVoYuWw0MobZWWI/uQn\ngEoFCEZ2G4kerh6tPtuwYSv+539OoKZmC6ZNu0SVfmgJn8/XLsgqwZIlS/DSSy/h6quvRv/+/XH0\n6FHMnTs365LBBllVGO2JrBKQbV65S8gmgt4jkCzLwu/3Z51MptZ5KXlvpOVyTSZTm0k8WX/IBC49\nTqJsbT2V2zRQHLD0tICyyV9NkGEY/Hf37uJn0hKyqRZlihFYQQAoCqAoRQ3/CViehYk2wcyY0ae0\nDwBg5crVWLZsLQ4fPgvNzY+hru63uP/+ZzF3bi3mzLla8T4pCSOyGgPP83jxxRfRt29feL1efPHF\nF+jQoQOuueaarMe1QVYVRnshqyR6SKBm9FDN8yTXNd2DJs3ydzgcordje0B8JLm0tBTBYDDn80+W\nrU0m+3A4rGm5TQP6RrrnNfBFAJYeFpjKTbD2scLaRyaHfwC/2b8fk0tLcUHclmeuFlo8z+c/pnke\n9ilTEFq2DEKvXvkdKwOcDJ3ElFemYMs1W2A1nb62s2dfhdLSctx5578BUAiHBSxceGNRRFdJ5DwR\nvF5vuyGrwWAQzz33HDiOQzAYFBOtOnbsiK+++iqrHT2DrMqMZDIArbJr1Wg3EokgEAiIL1SbzaYa\nUVWblKdrr1D9Y+UaJ2okj6VKduE4DhzHiZEqXWy1GtA1Tr1+Cq7RLrh+JH+G9k86dEClNTPym4mF\nFilNyfN8m3GdMWgaoSefVIWoAkCZrQyvzXitFVGNIfYsBgJhVFffjsZGoV08n6FQSKzeVOxwOp3Y\nsmWL+O9wOIy//e1vOJGDE4ZBVhWGVg+eGu1yHIdAIACO4+BwOGA2m+H1elUnj5lUnFEDcvrHqgk5\nxoogCAgEAm38YlO1Kad1VTKtYLKt1pwnegNFAT7Eg7bFFjvd7u4m67G/C4fR3WKBiaIw0G7P+TjS\nRRl5l4RCIfEznucRiUTEaGtaWUwgANjtAEVB6NMnn1PMCP6oH06zEwDQydmp1XcbNzLYts2EDh0O\n4LHHzsOVV07E+vVb0NBwUPF+qYFUi/9UUddiRCQSEc/XarWipqYGt956K371q18ZkVWtET/hZrp1\nrFQ/5G433oqqpKSklVWX2tA6sirVZsq95a93v0viORkIBGA2m5NGkrVK+Eu31Uomf0P/2n4gsALq\nx9Sj/z/6w9xJ/sTP+xob8bOOHTEiywSSTEAIrDRhNVMLLcd//zfYGTPAXXaZ7P1KhKv/cTX+NPpP\nGNxxcJvvxozhMGQIj27dfiJKhIph+z8d9JxfISfIvHXgwAEsX74cnTt3hsPhgMlkwgcffICqqirx\nd5nCIKsqoFh0q5kQEy225bWCdMvfarWitLRUVv9YtZDrPeM4Dn6/XywRWwiOD4b+NTMUy6SaMHpv\nolC9sRqMR5kSpysqK1V/fsluAXkG4wlsNBpF6L77QJWUgAmHxTGt5Lh+adpLKLG0JuzRKGA2A1Yr\n0KOHAI7T92I8V6QLMhTjOUtBzi8UCuHw4cOiZSPLsjj//PPx4x//GACy8lo1yKoCSBZZ1bof+YBs\ncQNIucWtNw2pUu1Jt/yJHVN7QXxkXVp5q9CQi/5V8UxtnaCYzi16MIojTx5Bjz/2iJE7mYnqo4cO\n4cqKCvRUOJEy0y1kkcAGAjCzLFBWBsFuV1zX7Q17YWEssJlsbYhqYyOFa66x4913Ayj212Uysqr3\nnTI5wfM8qqqq8Oyzz4r/pmkaLMvmNGcbZFUFFDJZzWWLu1BM+nNtKxgMgud5Uaer1MtHK/lIKkiT\n6YqVpKfTv5JiBQDaTPQG9AlTJxNcF7oUe5YqrVY4dKhDNL/8MqimJkQWLMha152Lhdby/10Ol8WF\nW86+pc133boJWLMm2IqoFksEP1OEQiHYbDatu6EKaJrGiRMn8O6772Lr1q0Ih8Mwm80IBAKora3F\n9OnTRQKbCQyyqgIKkawKgoBQKIRQKJTVFrcWulw1QK4Hx3GiBEJPJDIfZDJOSPUtkkxnydJEXE+J\ncLkgXv+aKFOb6F+JXMbQv2qL6JEoIkciQF+AttAonVQq6/FDPA9by0Q7s7xc1mPLhegNN8Q8VZMg\nE113soVZonE9f/j8Np97vQBxaurQIXFSZbEhWZChvdhWcRwHhmGwdu1avP/++zh+/DgsFgvOOuss\nrFu3DtOnT8/6mAZZVQDJ7Ku06Ee27Uq3uHOJnhWjDCAajcLv94NhGJhMJsULHRBoNW6kiF+0SJPp\nlGxT70iUqU2iVKFQSIxUxetfDfss9eD/1I/wd2E4+zplP7YgCJi+axee6NUL1Xlk/OfSbtqxEwyC\n/vpr8DU1ovF/NsjEQkvqSgAKaPQ3om95XzB067mC54GpUx14/vkgevVq+1wXwrOeLVKdU3Nzc9Zl\nRgsZX3/9NaZMmQKv14vDhw/jt7/9LSiKQkNDAwAjwUp3KBSyKkeJVD0QLLlAjIxZlhW3/ElCUXuA\nFrrcQiZxZJsVgLjVl0z/qlqlonYGPsSDslCgaAqlE0vF4hxyg6IovFxVBY8OpR90fT3ML7+McE2N\nLMdLtjAji7OPGz/G8s+X46kxTyV01ti4MYBUfL5Yx32i82pvZJXktzAMg/3792P//v34+uuvccEF\nF2R9LIOsqgAtCVwm7UqrLeVbIlXt7V4lrm18NFG65a/mvVSrrfh2lLTiam/IR/9qXPPs8f3t36N0\nWilKJ8i75U/w+smTuMzjgYWmdUlUAYA/+2yEzz5b0TakBPb83ufjvF7nxdpukRAcPszD5QrDZIrt\nLIRCiZ01inHhb5RahahDnTZtGmw2G3r27ImPPvoINTU1mDRpEiZOnNjqd5nAIKsKQE8ygFSQKx17\nGwAAIABJREFUq9qSlpD72raHBKJkSFQmVU4rLul9Iqbm7RHp9K9ZGb0baIWej/QEXaLMO0wQBHzg\n86HG6US3LDXbcvYh4RiIRGD6+9/BXntt1tv+ueKTQ5/gnK7nADg915CF2dKlVgwfzqG2NppQA0vG\nNBnnekskVQrtRbNKURTC4TDOblk0RSIRPPnkk/jzn//c6j5nc88NsqoCtEouSUXklKq2VKgygPhq\nXMkSiNQ+P7XaIpIHJcukSlGIY0QpJNtmTWb0bpSPPQ2BFfDd7d+hxx96wFRmAuNSbnFJURT+1LOn\nYsfPC8Eg6N27AY4DVKic54v48KcP/4TnJj8nVqmS4v77wy1Z/8k9YMnugiAIYFm2aMZ2KuLt8/na\nBVndtm0bDh06hLFjx6Jjx4547rnnsH//fphMJlx88cU4//zzsw4EFVYYrUCgp8hqfLscx6G5uRl+\nvx92u112YlJoCVbEisrr9cJkMsHj8WSd6a4U1HhRk4mDRFPdbnfBlIktZpCoqtlshs1mg8PhgNPp\nFCU6ZHHh9/tFz1tCaNsTKBOF0kmlYEoST3z5Ruw4QcDMXbtwOBrN+RiqwONBpK5OFaIKACWWErxa\n+2orohoIAHv2kAhr8r8lY9tiscBkMsFiscDpdIpyI5Zlk47tQljkGjIAYMmSJQiFQqI+98knn8Sx\nY8dgMpmwaNEiNDY2Zn1Mg6yqAD2QVUGI1W6PJ2VyEyKtzjUX14NIJIKmpiawLAu32w273Z72ehRq\n5DgeZMv/1KlTEAQBDoejoM392wOkk7zNZoPT6RQTISmKEndLyCQfiURyNuDWM/gQD+97XvHfpRNK\nQZmVGbcMRWFh9+7orJMFXCsixPOw3HcfqOPHVWv//f3vwxfxJfzugw8YrFiR20KfSGMsFgvsdjuc\nTqeY1ArEdgKDwSACgUCrsV1oi7P2kmB14MABTJgwQUw0HT58OB544AHcdddd8Pl84Dgu62Pq4wks\ncmhJVkkJyWAwKJJUpXWpei+3Kt3yz9X1QA0oNW7iy6QSGxolkehcUlV5MZAZkulfyRZrvP410/Kx\nmVZK0gLsDyxOvnYSrlHKmfzvCoXQv2WiHepwKNJG3qAo8P36QVCxf5v2bkKFvQKDOgxq8924cRzG\njcuOhKQaZ5lYaHEcJ0po9JKcmC6y6vF4VO6R+vB6vbC3WEAIgoCHH35YJOlHjx6F05m9nZw+30YF\nDr3IAIjXYygUgtPpRElJieITkBYviUyvb6LocrZEtZAjq9LzN5vNcLvdYlROL+dkRHbzA5m4zWYz\nrFarKB+w2WxgGAYcxyEcDsPv9yMQCCAcDotJL3oZA4kgCAL4QCyKZulpQe8lvRUbKxGex23ffYfj\nLKvI8fNBKyJEUbGEKhV9Xv9w0R9aEVWeB7ZvVycJVarrtlqtYgTWbrfDZDKJu2V+vx9+vx+hUAiR\nSAQcx6meZ5BKs9oeIqsXXXQRlixZgubmZlAUhfLyctA0jY8//hgOhyOna2BEVlWA2mRAakVFPDLV\nIgFaEJ90bUoLHagVXZYDcl5LqctBoZy/AXkgjaomSnJJ5P+aTRlENXD8xeMIfRtCj/t7KN6Whabx\n1hln6HbhZP3d78BNnAjuvPNUae+Lo18gykdR06Wtb+sPP1B4/nkzfvQjLqVONRny1RRLkxOlx0yW\nnCiNwGrhrtFeNKt33HEH7rrrLjzwwAOorKxEaWkpTpw4geeeew733HNPTiVnDbKqAtQicImqDZGM\nf7Wgpygd0HrLW44tf72dXzpkWia1kM7JQP5I5P8qneBJlCoajepii7X8qtzKmWZKhoI8jwcaG3FX\nt25w6NwiLDpzJoSqKtXaa/Q1IsJFEpLVzp0FrFgRUq0vmSDV4iyRhZbcBNaQAQBVVVVYvHgxlixZ\ngtdeew0+nw/9+/fHypUrMXjw4JyOaZBVBaCFDCCRP6ja2x8Eeoiskiz/cDicd6GDdG0phXzayqZM\nqhoTc6GR/PYIqUaQaAlNJlMb/ataEapDDx+Ca7QLJeeWgLYoG+W1URQG2Gww65Wktug1AYA/6yxV\nyfT4vuPbfLZ2rQnjx7N5KxDU8lfNZndBSQut9mBdxbIs9uzZgzPOOAMPP/ywbMfVzz5PkUGtxBFi\nRRUIBEQtCImWaLUlD6ifZCV1PSBZ7jzPw+PxtLss92g0Cq/Xi2g0CrfbDYfDobvz11t/DLRFMv2r\n1WpVRf/qusgFW7/stwuzQaAlm5yiKFzXoYNuyap5+XJY/vxnAOo8O0f8R/DM/z6T8DtBAD79lIHX\nq89rlSmSuWvka6GVioBHIhHdWCMqhUOHDuGee+6B1+vFgQMHcOTIEZw4cQJer1csfXzs2DGsWLEi\nq+MakVUVQFZmcq4ieZ5HKBRCOByGzWZLGDkjbapZHURLEsKyLAKBgJjlrkSWv54jq/mUSTWingYy\nQbIIFYm+sizbRv8qjcCmgiAIaHqrCZ7xsfLGJSNLFD0XL8dhXH093hs4EHYd6XMTITprFgQVE74E\nQYCJTkwPKCpm+i9XO3pauMa7awCn5TGJyiMnGt/pzklP56sEvF4vPvnkEyxevFjkJ1arFVarVayU\nuW/fPrz33nu48cYbMz6uQVZVglwkh2jJAoFA2hKpWj0UchPzTBAKhcCyrKxb/oWCfMukqnWtMhn/\nhlyg8JBqgo+3GEpZPpYDTm04hZJzS2CqkGdqSvUecjMM3hkwQL9EVRAAnw9wuQC3GwLPg2qJTCmN\nLiVdMGfonFafvfkmg169BJx5ZmF5m+aL+IVWOgst8nm8vlvN99orr7yCuro61NfX4+OPP8awYcMA\nAPv27cPAgQMxYMAAAMB5552HpUuXytp2r169sGjRIjGSSiLTXq8X4XBYnKumT5+e1XENsqoQ4idd\nOSbhXEqkakEc1UwoI+bQamX5q02m0rXFsiz8fn9WY0ILtKfFg4HkHpkkAhsOh0X9qxAQYPFYQNM0\nej+pnCUVAEQFAetOnsTl5bGELVcuKewqgfngA5iXL0fohRdUaS/MhnHfB/fhN+f9Bi5LW2uhcJgC\nx8n77tNbZDUTSB0IEo3vcDgsJvZSFIVly5bBbDZj2LBholWg0hgyZAjWrl2Lm2++uc13VVVV+Oyz\nzxRr2+VyYcaMGbIfV58zWxEiH5JDtndJ5DCb7d1ijVRJt/yJ756erHbkQKp7RzxTI5FI3tHkYh0j\nBnKH3OMhmcVQ4NsAvr/te1S+XilqAZVMcAnwPP7t82FqaSksOn9fcBdcAK4lIqYGzIwZgzsOhsOU\nuMhAba28MoRieudIx3ckEhHzJHieR2VlJd5//32sWbMGX375JYYMGYLhw4fjnHPOwfDhwzF06FBY\nrVZZ+0Mip1qBJHdLc1jINcr1edb301pEyIUQkIz2pqYm0DQNj8eTNSnRo+9pPiBWTM3NzWIte4Zh\ndKsjlRvxZVLbYwKZAXWg9JiiKArOAU5Ur68WDd5TJbjIUT7WwzB4pFcvXRNVas+e0/+QVKdSOgpJ\nUzRmDZoFhj4dbf7f/6Xx7LPKVvgr1ncXkb1cfvnleOKJJ7B+/XqMGTMGf/3rX3Huuedi586duPHG\nG1FWVobPP/9ctX7t3bsXw4YNw+jRo7Fjxw7Zj0/06iaTSdS3k//OxznEiKwqhHzsq6Qm9lIrqlxR\nDGQ1Xpcp3fLXmkAqBbIyJ4gvk6rXMrGJUKz3yED2OLXxFCLfR9Dp5k4AANpxmjhmon8l5YFT6l9b\nIAgCDkejuH3/fqypqgKjc2JEHT0K29y5CL7xBqCSpOe+D+7D5H6TMaxL2yhuRYWAysr2pVHNF8kW\nFcRjtaamBjU1pz1rSf5Jthg3bhwOHz7c5vMHH3wQU6ZMSfg33bp1w/79+1FWVoadO3di+vTp+Oqr\nr2StqkXO3efzoaQkliR54MABUBSFrl275rwDapBVlZDpZC3d3pbLxF5tyE1MiC4TgOa6TC1Il9Qz\n1mazyR5JjSfFBgwoCftgO6yVmW97ZqN/TZSd3cVsxgM9euieqAKA0KkTgm+9FUu5j/9OoffOpZWX\noqoscZGBnj0F9OzJKdJuIepV0yHVPUpWatXhSCy7SIfNmzdn/TcWi0UkxsOGDUO/fv2wa9cuMQFL\nDuzduxcvv/wydu/ejRkzZsDv92Pz5s0Ih8O4/PLLkxLpdDDIqkpIR3KkJVIL1cRebkivSSorJj3b\nSeXbFsdxaGpqMsqkGihoNO9ohn2gHaYKE6y98tPnJdO/Sg3ew+EwdoXDOKNlYVdtsYDneVn1r3KC\n2bYN3IUXAjSdkKgSKNH3kd1Htvr3sWMU7r3Xij//OaRWcLfokOg+eb1eTQoCSOerY8eOoaysDAzD\nYM+ePdi1axf69u0ra3vPPvssvv/+e5x99tl44IEH0LlzZ8ycOROhUAiPPPIIzGYzxo8fn3VJZ2Mo\nKoRMZQCptrfl6kehyQCyvSbFGBnkOA6hUAgcx6GkpKTojKSTTbqFvLgykBy+f/lA22jZLKniIfV/\nBYB94TDuP3QIL/boIcqqpP6YWpePbQWOg/nFF8EPGAChc2dVmnyl/hUc8h3CvHPmtfmurEzAzJlR\nxYlqsUZWk51Tc3OzamR17dq1mDdvHo4dO4ZJkybh7LPPxsaNG7Ft2zYsXLgQZrMZNE1j+fLlKC0t\nlbXtvXv34qabbsKYMWOwY8cOzJ49W4ym/vOf/0RTU1NOxzXIqkpIRKhysaLKpd1CIqtqXBM5oNSL\nVlom1WQygaIoxYmqGmPEIKHtD1wzB8YVI49d7+iqaFuCIKDu0UdRt2ABKIpCpdWKV6uqEI1GIQgC\nrFZrQn/MbPSvioFhEHr22bQ/k/OdM6b3GDRHmpN1B5dcoszWf3uGmqVWa2trUVtb2+bzmTNnYubM\nmYq23dTUhJ07d2L48OHwer04deoUTp06hdLSUhw5cgRlZWU5HVefTKAIkCqyynEcAoEAOI6Dw+FQ\n1HutUMhqPtWX1N6aVwpSou52u8XtTAMGCg1CVED9uHpUv1GtWDRVinVvv41n6uux5+WX8fxVV4nb\n/VKCl84fk+M4sZxmIv2r3M++6R//ADd8OITu3WU9biqQ61Fhr0CFvULyOXD99Tbcf38YlZXqvEvb\nW2TV6/XKmsikV/To0QM7d+7EQw89hGAwiK1bt6K+vh5OpxNff/21SFazvfcGWVUJJLJKamgnK5Gq\nRLtaRLSycT4gW/5WqzXr6kuA+ucod6EFKVEnSXVkvKh1XmqPEZZlwbKsNpEsA7JCEAQ8WvcoFtQt\nOE0MzRQGbh0I2q6sxnrlqlVYtno12L594b/lFnz4/PM4d9UqzL36asyZNSvt30sJrLR8rFT/mqx8\nbL76V+qHH0D5/VDrydt1Yhfu3HonXpvxWoJgCnDHHRH06mXsfuSDVPOCz+dDZWWluh3SAPPnz8eh\nQ4cQCoVw4YUX4tSpU2LuyS9+8QtUVcWS+QyyqkMIgiBOzsQvVa1EGS30nJmSx/hIYj72XIWIfMuk\nygU125QmzdE0LW7TEgJgSAUKD2+vexv1K+rxRvc3MOTrIej1WK8YAVSYqALA9VdfDbjdWPT22wBF\nwSwIuPvWWzHtsstyPma8/hVAK/eBXPWvgiDgibo6/LKuDhRFIXrTTVn1K98FclVZFRaPXdzqGDwf\ny+kCgLPOUneeKMbIaiqoqVnVEgMGDFCkKIFBVhUCeQiJ7RKpzEJ8x9SEFjKAVARZWpFLDhmEVpHV\nfJBpmdRiIm+CIKCpqQkWiwUul0tcvEm3YUnlE7/fr62OsJ0jk3G3auUqrF62Gn3Zvril+Ra8uOxF\nPB15GrP+Mguz5qSPasqBLc3NWHfqFJqCQVSvXInGFg2q3GMl3v81Xv8aiUREt4Fk4/addetwfNky\nvMfzuPgPf5C1f6kQ5aIwM7F3bJ/SPq2++/3vLTjzTB5XXCFvdar2inQJVu1BBiB9NoDTXIj8v+Gz\nqjPwPA+fzydqMBmGgc/nU70fevJZlSYPWa1WeDyedmfPJS2Tmk6bq+a9U/L6kWIGAMRiBtLFDCEC\nJKGM53lYLJaEPppKleE00Bbpru01s6+Bi3Xh7YffBgUKXJjDbQ/ehsum5R7VzBbjPR58GQxizhVX\nYOqll2L9pk1o2L9f/J4ECeRGMv2rtIAB0b+uffFFrF+xAv/FcXgsFMJda9bg6bfeQu3cubh6zhzZ\n+yYFy7O4eNXFWDtzLTo6Orb5/uc/j8Ll0ubdaURWixOJrOXkgEFWFQJZYTudTtX1h/H90EOCVTQa\nFaNlhb7ln8s1FQQBkUhErFaiJ89UpSYM6eLEZrOBZdm0RS6kq+9UPppSHaGubIjaESiKQvRgFMGm\nIFZWr0SoUZmoZjyeOXoULobBNRWxBKFfSbbT89n+zxdS+YBU/zpr8mR0cLnwyf33gwLA8jx+cscd\nGDN1qri7kMm7IBdyZ6JNWHf5ujbJVJEIYLUCnToVxiK/UJAusurxeFTukXb46quv4PF4RDcOu90O\nk8kEu92e0/EMsqoQaJpudVO0iv5pHXXkOA7BYFC2Lf9E0LsMINcyqVrfu3wglTm43W7QNI1gMNjq\nN9mMg0Q6wnzKcBrIHXyQB2WlQNEUTrhP4MoVV+LSqZdi0/pN2N+wP/0B8sRYtxvuAlnsUhQFx6OP\nwuLxIOL14vbqagiNjTCZTKJmm+M4MRIl18LLF/HBaXaKmf9SvPUWg9dfN2Pp0lC+p5cXijGymi7B\nqj1EVgEgHA7j8ccfx9GjR9GvXz8AQDAYxBlnnIGamhpceOGFRoKVnpCIbKj9gGoVWSWJNHJv+Sdr\nT4+kTlomVc6qZHJDzuuXruqYnOM/URnORNuwhnxAXnz/39+jdFopSieU4sYFN4qfK7n9v9XrxXCn\nEyUMg342m2LtyAZBECtRhRcvxv7FizFq6VKMnToVW9avx8GGBtE/Ob58bDL9a7pnRxAE1D1Uh7pf\n1+HOrXdiStUUTOg3oc3vxo/ncN55ho+q2khWbrUY4ff7sW/fPpxxxhkYMmQIjh49ijfffBONjY1Y\ns2YNrrzySsyb17YgRSoYZFUlJPL9U6tdtYmc1LOw0Lf8EyGTa0q2/E0mU85b/nol4YlAqgT5/X7N\nZA7JtmEJCWBZFpFIBIAOqxgVEHo+2hOMU91neltzM7qYzRiY4xaiqmBZOCZMQHDVKggdOwIUhZ8u\nWCB+fcm0aa1+nkjjl2zhRd4JiRZe6zauw4odKzBs6DAsGrcIdlPra3XyJFBWFuPQMhctyglK6Ym1\nRKpz4nm+6ObCeBB+c+TIEbAsi6eeekr87qc//Sl+9rOf4fXXX8fYsWOzJqvFNVJ0Dr3oR5UCx3Fo\nbm4Wt2NdLpcqD6eeSB25BoFAAA6HAyUlJUX3Qo4Hx3Hw+XwIBoMoKSmB0+nMWIOnNEjylsVigd1u\nh8PhELVTREfs9/sRCAQQCoXEbVm9jCc9QOAEfHf7d2CPxzLG1SKqYUkSXl337jkRVU22mk0mBJcv\njxHVHEEWXmazGTabTUzSJUmIRF7l9/uxfOVynDPuHCx8cSGaL25G3ao6jJo0Cn958S/i8Y4epTB5\nsgOskfSvKJKNt/b2PiFjdPPmzdi1axf279+PjRs3gqZp+P3+nKpYGZFVBRFPooqVrMYn0tjtdk2c\nD9SamJLJO6TXQI6CD2qNl1zbiT9nm82WtQ5VbaSKYqUzgS/2RUcyUAwFz6Ue0CXqnX+Y53HRN9/g\nrepqlOm05LIU1KFDMK1Zg+httwEAhL59FWmHEFYCnucx5/o5KC8vx/zn5gMUEIwEcd+t92HahGli\n4Y1OnYB33w1AT5eyGDWrqdAe5Efk/CorK3H99dfjySefRE1NDfbt24eDBw/innvuwfHjxzF8+PCs\nj62joVv80DICqMSLgWz9BgKBVln+ajsfaP0CaI/FDeITqDI5Z6kMJp32Tk0kSt6Ser9Kk2DaS/KW\nwArw7fTBc0Ese7l0orr7xlaaLhiiCgCC0wnY7a20qmrAz/rhsrhgtpjBR3lUf1yNg/6DIqHdvZtF\n9+4hMAzdktClXPlYA6nn2fYSXRUEATabDTfddBNGjhyJt956C9OmTcOkSZPEcXnWWWdlfdz2GSrQ\nCFpFVpUA2foNBAJwOp2ttvyLNYIc3xbx0vX5fLDb7YrJHvT0kiOG/c3NzbDZbLKfs14mUCIfIJYr\nTqcTdrtdTHQJh8OifCAcDotVjfR0r/IBe4zFsRXHIPDqnc/haBSLDh0Sr6HuierJk6D27Yv9t9uN\n6A03qEpUBUHA9DXT0XCyAQ3fNWDprUvx0aqPsOzny7DvwD5YLFbccUcZjhwpgdVqBcMw4DhON2O3\nPUVWI5FIxi4whQ6KohAOh7Fu3Tq8/PLLiEQi+L//+z98/PHHeR1X52+Dwkb8g6i1fZUcLwZphnu6\n7W41X0ZqXltSPjcYDMJqtSpWJlVP104PCVRaIhv5ABCzbiHR2kKakIWoAMpMwdTZhMr/qQRFq9d3\nN8Ogk8wTupLvINObb4I6eVLc+lca5FykuxNvXPEGbCYbFsw9ncA1beLpBK5164It5VTbJh5Kk7cM\n6Ys8SDbe2ktBAOK+8s477+CZZ57BsGHDMHDgQLz//vu455578Lvf/Q6jRo3KzTNYoT4bSACtyWo+\nkG75p8twL6TJOVuwLItoNComkCUrk1pM4DgOgUAAHMdl5RNb7EgkHyCJLwAKzvv11IZTaNrUhN5L\negNQ5zkO8zyOsix6Wixw0DR+3KGD4m3mBZYFEX6y116revP1x+tx74578dqM1wAANlNbG6+9eymU\nlQkoLQWScc1MfIuVlr4UY2Q1FVnVotS62iBk9d1338WYMWOwoMUFY8aMGbj//vuxefNmjBo1Kidn\nhOKfaTWE3iKruUJqau90OjMiK2rbdCl9baVlUomhtxpEVQu7MwK5k8b05NqgFMgCzmq1Aigs71fP\nZR64LlTXB3Kz14t/NjfjwZ49VW03V9huuAHRm24Cd8EFmrRfXV6Nxy95POVvXn3VjP79eUyfnl3q\nfyLfYqn1m7TscXz0Veuxqwekere1l8gqGQf9+/fHhx9+iI8++ggdO3YETdPYu3cvzj333JyPbZBV\nFVFoZDUfU3stzlWJ9hKVSQ2Hw0VFuhLdq1wSqAy0hd69X4+/dBzWPlaUjCwBZabAeNS9z5NLSzGp\ngEpQhh99FEJFRfofyoiVX6xEua0c47qPA03T6OXu1ep7QRBQV/cE6up+CYqicMcdEVnazcT/lehd\nc1l8FWNkFUi8I+H1etsFWSVjZcaMGdi9ezceffRRVFVV4cMPP8SZZ56JaS0ew7nISwyyqiIoKlbZ\nSYt2syFXUoJmNptz0ieqTVaVeOklK5Oq5n1U+zpKI8iJKlAZyB8keYuARLAIASAVjNSIYJm7mWEq\nV3caePzwYXQ1m3FVC+lTcnzlTYiCQVjvvRfh++8HbDYIGsgURnYbiVJrcjeGdevewTPPHIfbvRUL\nFoxRtC+ZLr7i9a+Fpt3OBUap1dPPcqdOnbBo0SLU19ejoaEBN954I/r06dPmd9nAIKsKohBlACzL\nIhAItCFouUBtsipXe4VSJlVuhMNhBIPBvKpuyYFCjlrnMk6kEaxkpWMJAZBO/rkmwAS/CsI20AaK\npuAepf4EOq2sDGWFEqm32cCNGAGo2F+WZ/HoR4/il+f8EjaTDYM6DAIQK2EpxcqVq7Fs2Vqw7FD4\n/Y9hyZK7sHr1csydW4s5c65Wrb/xiy+grf41Xrvd3hK3mpub20Wp1QceeAB79+5Fp06d4Ha70bVr\nV5SXl2P37t3YvXs3zjvvvJy1uwZZVRF6JqvSmu5yEDStNJb5IpMyqVrYZCkJEiUOBoMZa5JzQSbn\n0h4WBZkgXQRLmgATT2DTedg2PtiI7r/vDltV2+QcpbDh1CmMdrlQwjDo06Ln1S38ftBffgl+xAiA\nosBecYWqzTMUg1JrKSJcpFUCVXzk7vrrr0JJSTnq6j4CQMHp5HH33Tdi2rRLVO1vIqTTvxLpSzAY\nLBr9a6rIqtfrhaeA5C65orKyEj6fD6FQCIcOHcJHH30En8+HcDiM7777Dm+++SYGDRpkuAHoHXpM\nMEmkyZRj1VtoMgBpxjvZ/i52EL9Qkr3udrvbXcRDKSihx0smH0iVACPdfiUR3H5/6ydrvzLB54EA\nBtpsKCmAiCr93Xcwr1mD8IgRqrV5PHgcX/3wFS7qdREoisLNZ9+c9m/++EcrfvjBjKamMKqrb0dj\nY/qCG1ohXv/K8zwCgQCsVmsb6zc9Jh9mglTznc/nQ88CSSLMB9dm6JBhyAB0Br3LAKRb/nLbMGlB\nVuUoGZpJxnsxRFbjE6i8Xq/sbRhQFpl6v7LHWRy47gD6vtEXZrtZNf1ggOfhaOnb3d26Kd5eXuA4\nIBoFbDbwgwYh/PDDqjZ/2HcYOw7swEW9Lkr4PXkH8PxpRcKvfhXB0qXfYenSUZg6dSzWr9+ChoaD\nanU5bySyz9JT8mEuaO+aVY7jALQl7uS65JOoa5BVFaEXsir3ln8mbaqBbNsjvrE0TWed8a63CHmm\n0DqBqlCvW6EgoX+mnUefv/YBbaFV834N8DxGffMN3h0wAC4No6mZRrgtixdDsNtVM/gHgAPNB+Cx\neuCyuDC442AM7jg45e8jEWDCBCfWrw+grAxwOIBf/eqn4vd62P7PFMnuSy76V714F6caa+3FukpJ\n1xiDrKoILckqKaenxJa/HpDNi4psQbEsC4fDAbPZnNXfq/lSlHPMZKLHVRJaTybtCaGGEPwf+lFx\nbQVomoajr0P8LhPv13zHnIOmsXXAgILY9geAyM9/DqispV3yyRKMqxyHcX3GZfR7iwVYvTqIsjKF\nO6YzFIP/a3shq0rCIKsKQk8yAI7jxK1eNSov6VEGINVoWq1WeDyenLO3CylCyPM8/H4/OI5LmkBV\naOdkIDVoKw2BS3w/kyVvSckrAAQCgVaJW+m2X78Ph/HC8eO4q2tXUBSle6JqnT8fkbmK+4nqAAAg\nAElEQVRzIfTvHwtTqoDmSDNcllhW+EOjH0r7/tm+ncGmTSbcd18QFEWhe/fieEbz0XRnKn9J5J6h\npP41nXVVe0iwUhIGWVUYiUiAmmbIZOXJsiycTqdq2756kwFINZrtpUxqPDnPtwKVGjBIc+7gmjgI\nrABThQmWHhZ0+HHmnqDx8gGfzwe73S5GsIj3q/R38dGrDmYzBtjUcxjIF+zMmRC6d1etPV/Eh4tX\nXYzt126Hw+zI6Fk86ywOXbuq781daEinfyXFCwDl9K/p3ADag3WVkij+GVtHIKs6NciqlKiYTCYw\nDCOWgFQDahrnk/YSQQmNZiEkWOm1ApVBRJXD0RVHYSo3oePsjrIcjxDRVN6vfo7DcZ5HX7sdFoZB\nbWmpbhZEZKyJ/YlEYNqwAeyMGQAA7kc/Uq0fFEWhxFKCHdftaGVHlQgPPmjBzJksqqt5eDyAxyNA\ng1oyikKNOTCZe0Z88Q019K/BYBAOlaL3xQqDrKoMNYgOSRwiUUSgraF0sSH+uhazPjcVpAUNsiHn\naoxLvZCYYkWX+V0UvcaJ5AObTpzAl4EAfu1w5Oz9qhqiUTA7doCdPDkmAFUBb+x+A+99/x4eGfMI\nAKQlqgBw3nkcOnTQbjeuWCGVDyRbgCXSb2dTPjbVHNMe5h8lYZBVhRFPApQkBSRxKBqNtiIqRIOm\nJrTczk1WJlUu6DWyqnUCVbYwJt/8sfemvej8885w/Fdm28pyQBqxrC0vR215eavvMvV+VaW/ggDq\n+HEIFRWA04nw4sXKtynBqF6jMKJbar/W48eBl14y47bbogCAiy/m1OiaptAL+U6n35bqX+Ojr5m+\nX/VyroUOg6yqDCWITrw2sTRuK04L4qhFghUh6+2tTGomCVQGihNdftUFtn7q6kQfOHQIA202zJSQ\nVIJskl/UqB1vfe89WDdsQGj5ctmPnQz3bLsHVw26CkM6DkGJpQQlltTlJR0OQBBiHqo6X1+2C+Sq\nf+V5PmkuhEFY84fxaKgMuUlcNBqF1+tFJBKB2+2Gw9E2wtIeyKp0C8fj8cBmsyn2ctBLZJUUNGhq\nagLDMPB4PDkTVbVkAIZmNT/wER4//OUHCHzsOtqr7aBM6k6CP66owITS0ox/TyZ/i8UCm80Gp9Mp\nWsYBsXeY3++H3+9HKBRCJBIBx3GyjJXw6NEIPflk3sfJBpOrJqPSU5nyN59/TuM//4lNv3Y78Itf\nRFMS1WIjO4V2PkT/arFYYLfb4XA4YLfbYTKZRMkZ2UkgY7ihoQGhUEi1d94rr7yCwYMHg2EY7Ny5\ns9V3X3zxBc477zyceeaZGDp0KMLhsCp9khMGWVUYShFHnufh8/ng9/tht9vhcrmSJtFoRRLUaJPj\nODQ3NyMUCoGmaZSUlKi2/a0l8WJZNu0ixUDxgaIoRL6PgA+ql3EjCAJePn4cvpbqNL2sVrEyVa4g\nukGr1Qq73Q6n0wm73Q6GYcRJ3+/3izslJJqVyTNnWbwYpjVrYoSIpgGFdxpOhk7isY8eE/s2svtI\n0Z4qGfbto7F/v/G8FirI7oHZbIbVahXfvxaLRRzDv/71r9G7d2+MHj0aXq8Xzz//POrr6xVLPB4y\nZAjWrl2Liy5qXQWNZVlcf/31eOaZZ/Dll19i27ZtBbn7ZsgAVEa+xFFaHjRTr1DyvZqrWTXcDqRl\nUm02GwKBgKJtEmhZFCDXBKpMoIXVmB52AQoB0WNRmDuYQZkpdF+ont0SELsn30UiOMGyinmnSuUD\nybxfpfKBVNZD0alTIXSUxxEhEzhMDpgZM3iBB0Mlvz7/+heDkSM5UBQwbZr6eQR6QrpkpEIFGZdm\nsxmvvvoqfD4ftm/fjkWLFuHNN99EXV0dTpw4gXPOOQfnnnsu7rzzTpRmsUuRCgMGDEj4+aZNmzB0\n6FAMGTIEAFBWoFUlim+06AyJiESuk3E0GkVTUxNYls06mqZHk/5cQaQP5DrY7XZZqu5kAy1IVSQS\nQVNTkyh1kFOTa0Rl9YvAfwLYd9M+1doj47pZEgG6s2tX9FK5wpNUPkCir0Q+QLZe/X4//D4fsGwZ\nok1NMV1hv36AwgbsDScb8PnRzwEAVpMVt9XcBoZOTlQ5Dli2zIyjR3N7zgpt27w9ItE9KikpQf/+\n/TFo0CCsXr0ae/bswa5du7BgwQJRFqM0du3aBYqiMH78eNTU1OCRRx5RvE0lYERWVUYuJIfjOASD\nwZzLg+babj5Qor18y6QWIiiKEqUOhZ5ApXWBjEKFY4gDVa9Uqdqmn+cxpb4e7w0cmPeWv5xIVHqT\n53kwPh/CTU2ItGgIye/I93JH8b45/g2aI804q9NZSX/DcUBjI4WePQUwDPD88yFZ+1DIKLbdk1Tn\nE19qtWPHjpgwYQImTJiQdTvjxo3D4cOH23z+4IMPYsqUKQn/JhqNYseOHfjkk09gt9sxduxY1NTU\nYMyYMVm3ryUMsqoysjHLz2XLP1W7hUpWMymTWsjnlwyCICAajSIajcJmsylegUrt62ds+SfHybUn\nETkUQedbOwOA6klUTprG9oEDYdMRUY0HtW8fUFkJhmHA3XEHrACsOJ25TSz7gsEgACBf79f/O/F/\nqCqrAk3RmFw1Oe3v//lPBn/7mxlPP50/SS3G56QYF6mJzimerOaDzZs3Z/03PXv2xEUXXYTyFveO\niRMnYufOnQVHVvX7JioSJCJVmYBs+eay5Z8MhZhkJU0kcrlcSa9DsREfct4cx8FsNiueQFWME0ch\nwzncidKJ8mjZ0kEQBCxctAi7gkHUHTwofq5ronrwIGw334xEpZ1I5rbZbAZN020yt6XJW6FQSCxm\nkOr9IQgC7t1+LxpONaTsl98fi6gCwIUXcli2TL5oajE9o8X0rk4HLUqtSq/vZZddhv/85z/i7uy2\nbdswePBgVfsjB/T7NipSpCNVZMs3EAjA4XCkzPLPtl01kW97xDu0ubkZNpsNLpcrqYedFHqwlMoH\npDxsc3MzrFarohZcWoJEv9rTpJUO3ve8YI/HooGWHhZYK9XRiK57+22sqK/HZ9u2YYTTqUqbOaNl\nvAjduyP41lsZGZMmytx2Op2wWq2gaRocxyEUCsHv94vJi8QGrznSLB5j9bTV6F/WP2Vb8+bZsHXr\n6fd1ET66sqGY3mup5ExyRlZTYe3atejZsyc+/PBDTJo0SZQZlJaWYv78+Rg+fDjOPvts1NTU5CRB\n0BqGDEBlJJMBxGe3y73lq6XXajbnkWuZ1GJ48SWqQKWWH56aPqscx4naYzI+4qvCtEcta+CzABgP\nA1OFOq/llatW4anVqxHu0wfNt9yCP774IkxLl6Lxqqtw1bRpqvQhG5hefx3Mv/6F8IMPxj7IY3yk\nMn7nOA7RaBTfHv8WC7YvwIbaDSnlAxwHkMM89VQISuTMFNvzUGyL1HRktWvXror3oba2FrW1tQm/\nu/baa3Httdcq3gclYZBVhZGJtpKQFIZh4Ha7ZYmkJuqH3gsD5FsmNRdynCvkvJ7SxLH4BKpikjcQ\nMkAWZBaLRTw3QhKkOkMpQShGmxsA4Jo5MK7Y897lv7uo2vbsa67Bt2YzVm3dClAUwhyHhbfeiqmX\nXqqaDVw2YEePBjdyZMa/z/ZdQOQDxA7rrO5n4fXLX4eJMiWtG3/qlAnTpzuxbVsAJhMUIarFimIi\n36ng8/lQUpK6ipmB9CjOGUDHkD6g0i1/p9Mp25Z/snb1SnrI1rfX64XFYoHb7S6IjPd8r6e0AhVN\n03lVoNI7iE8mx3Gi3Vi8t6bNZoPD4QAA0T82Go0iEAgoUt1IawisgPpx9Yj+EFW1XV4QRCJ3nssF\nPhJB9cqVaAoExHuiF5hefBH0N9/E/uFyKe6f+thHj+F/vvgfALF3psPiaDU2iXyAoqgWV5IAXnjh\nGKLRICKRiLhbYCA1iu0apYusehS2UmsPMCKrKiO+hr0aWd6kXT1GVhNtfSvZnlzI936xLAu/3w+K\nolLqcdU6JyU1uEQHyDCMGLlKB/JbcgzpFm18hKtQo6+UicLAdweCdqjb71/v349Rbjcml5ai4cAB\nLL3iCky99FKs37QJDfv3q9qXtCgthZCBVl0uXDv42pTVpyiKwt//bsXRoxR++cvYIqOykheLF5Cy\nm1KZARmb+bwzitFEX0+LonyhB81qscMgqwpDOoCJFRHx/suXnGXbDz2RVaJblNM7VG2ymktbUvJm\nt9tlNfbXG0jNd4Zh4PF4EA6HxWsmJZ9kIidR1ngkq27EcRx4nhezuaXa11ztiZRG5EAEhx87jJ6L\nesbOSWWiCgDzu3RBx5bruODGG8XPp112GQDto17055+DPyvmX8pOTm8RlQ84nsPNb92Mhy5+CBX2\nCnRydkr7NxdfzEG63krm/UoILCkVm8g6S2/jUw1oPb7Uhs/nM8iqDCiupZpOITV2D4ViViZOp1PV\nlbJeyCoha16vV4ymFuvWdzziK1BlkumvZ/lGMgiCAL/fD5/PB4fDgZKSklZjnURHyQRPdhtIZIr8\nJpUfMdEXSqsbyVVbXk4IgoBFCxeJ7Zo7m+EZl7tfcq59ePLIEfhaPJW6WiwwpWhf02QeloW1rg7U\nsWOqNMfQDK478zq4LcnJhCAA8+ZZceRI7Jp06SKgY8fk44gsmuLlA1JpSzAYRCAQQDDYfuUDxUTU\njciq8jAiqwqDTNzSSNrJkyc164uWIPpDmqYVSSTTa2Q1vvKWxWJRuHfZQ65rR2QdZrM54c4BIanS\nbX7p34ZCITAM0yrySrZA84m+Es0skL85fDZ4e93bqH+mHhsqNmDKvCmgzBQ849XVr1EUBQpAWBCg\n2zQPlgVMJsBkQnDtWlkOmYxANJxswAcHPsCPh/wYADC61+iUx6EoYOpUFm537s8HWVxJ+yYdn0Q+\nQKK08fKBYnMDKDZkU8HKQG4wyKrCIKts6cStxctHixcdOU+1yqTqLQqZSeWtdNDbOSVDKkcDMgYI\noQyFQrESmS2ElaZpsCwLlmVht9vFvyWR0Pj/J9eEZG0n26FIRxDC4XCb7G5yzHzH56qVq/Dy0y+j\nL9sXt/hvwXOPPYdnX3gWV8+9GrPmzMrr2JmiMRJBt5aF0c87d1alzVxAf/strPPnI7hhgyrGpE6z\nEzSVeldrzx4KW7aYcNNNMV3qJZdwsvYh0cKLjHGySItEIuI4J58XojY7HsVKvJOdUzQa1WWAotBg\nkFUVYLfbW21p6mVLXg2QSFu+5WL1hnTXk2VZBAIBCIKQcUEDrZGrBjfZPZbaUgmCIFYVIt+xLIto\nNCp6yZItUp7nRRJLCCQB0QJKCWwu0Vdp/8kx5Iy+Xj7pcpSXluPNe98EBQqwA7fefSsum3ZZVsfJ\nFceiUVzT0IB3BgyAWefPHH/GGQj99a+KEtV/N/4bPVw90N3VHV1KuuC6M69L+XuPB7Db1X9HJ/N+\nDYfDov61ELTZ7Q2pEuDaqzZZbuh/Bi1CtAeySohIumx3OaGHKGShJlDl0kepL278PZYmmSQij4Tk\n8jwPp9PZKnpESCOJvkpdBOIjS1LSSv5H+pZp9FVKEOSKvh644wDCQ8IINgWxsnolQo0hVSetDmYz\ntg4YAFonY08QBDxRV4df1tXFrvmmTaBOnQJ75ZUARSluSfXJ4U/A8Ry6u7on/c077zCoquJRWSmg\nokLAddexivYpE5DdgUgkIlbcSuWMIefugFIo1shqIpD3iYH8YZBVFRD/YBYzWeV5XkwakBINNaC1\nZpVkv8thw5WqHa1B/GGJub80UUxKHIG2UQXiiBEKhWCxWOBwOMTvyXghW2Yk+kq2RFmWFSdvqYRA\n6+gr+X8hIoC2xv6uz1/6YOsTW3HF0itw6dRLsWn9JuxvUNYW6mO/H6+eOIGHevaM9U9HhOCddetw\nfMUKbBk2DJdMmwahVy8IHToo2ua3x78Vy6P+fNjP0/7+4EEaHo+Aykp9PW9SJNNmJ5MPxBNYA8og\nHQE3rn3+oNJMhPp9agsIZMIlIHXf1dSxEDeC0tJSRY4v3Q4mGdrEqogYvSsNYpNkU6GMTDAYFKOC\nSiZQ8TyPpqYmlJWVyXbMRAiFQmBZNm2lFak/LImIEsRHU+Nf0GQhw/M8HA5H1gl28aSRRD8TRV/j\n25X2TfrOyyT6mgikH6KLweEIDsw6gH5b+oETONjtdtW3ZwM8j92hEIbm+byR++R0OvPu0+qVK7F2\n2TIMZVn8saEBv+3bF1+YzaidOxdXz5mT9/GTIRANYPqr0/HS5JdQ4apI+BueB95/n8GoUfLqUZWA\n3+8Xx1QmkFpnkf/Xi3yA7LrZ7XbV21YKRAYV/07jOA5Tp07F9u3bNepZQSLhoDQiqxqg2CKrybaD\niSWRWtAishoKhfJKoMq0HaWRrt9SeQMh5NlEUyORCMLhsLhIy+U6SbfsM42+xkeXCPKJvgJoI0ew\n97HD/qYdlJkCF4mVlFUjulUfDEIAMNBuh4Om8yaqcuOq2bNRXlaGj+6+GxQAwefDjYsW4ZJp02Rv\nSxAE+KI+uCwuOMwOvD7j9ZS/DwSAlSvNGDGCK7oyqem8XwtRPlCIaG5ulmXRZ8Agq6qgWGUA6fSZ\nap+nmu2R7WyO4womgSpXpJI3EP0c2QaLH+scxyEYDAJAm0isHKAoCmazOeGWqNLa12MvHAN7nEWX\n27uAoihYy60AYkmFDoejVV8SWRPJQQ6+CAZhpSgM1GmUimqJ6IWbmnB7dTWExkbFCNHru1/HO/ve\nwZJxS2JtJ3gfBALAiRMUevQQUFICPPdcSPZ+6BHShV6m1m5KLbCKUbOa7Jyam5vhciWviGYgcxTv\nDKtjaKlDlOtFkUmZVD3qLfMFIejED9Ttdiv64pVGL5VuJ/5epZI3ZBJNDYfDiEQisNlsitmVJToP\nOaOvUjJOiCdpp+SSEtCW5NuyyaJb+WoLgzwPW8v1vrK8PN9LphwiEThGj8bBCRMwaulSjJ06FVvW\nr8fBhgbZmpA+F5P6TcL4vuNbfRePtWtNOHiQxp13RmTrgxpQ4vlPZ+2WzvvVwGkkm+cMj1X5YJBV\nDaBVZFUOKFEmVS4oLTuQRhgdDofodlBsIFFjv98Pi8XSRt6QLprKsiyCwSBomm5TvUoL5BN9BSAS\nWI7j8N2879DlN13AdGLAdIh9TkoopyOaiayJpFuzmUZfb9i7F7/o3BnnpdEX5wrZiJHFguC6dfip\nJNNf7u3/mzbehDlD5+D8HueDoRkwaB25pygKJ08CRPI9axarpENWQSNdcmH8AiuewGaKYoysAonn\nWIOsygeDrKqARDIANbWc0nZzfVHEZ4CXlJSkPU6xyAASRRjJlpkayOe+ZQue5+H3+8FxHEpKShKa\n+6eyowqFQmLyBCmlqjfkE32tqK2ArYNNzPqPj76ybMzuKBqNZqV9zST6SsjB0717w61T2Qn1ww8w\nrVqF6C9/CQCKW1ItvGBhSjsqAJg1y47HHw+jupo3iGqWSLTAklpnESmUXpK3tECqOceQAcgHfb7x\nihxabY/n2m6uZVILXQaQyvC+0M8tETiOQ1NTE6xWa6vFCNkelFaQip+ISL1zk8mki2hqtkgWfQ3u\nC+LE2yfgud4Ti76OZBBGGKZo6+grTdOio4LNZgNN07L4vgJAiGVx78GD+E3HjnDwPGiOg1/yOz1t\nzQoOB2C3A4KgiMn/scAx3LXtLiy9bClMtAk93T0T/i4aPf3f69YFUcgFhMh7Rg/3FzgtH5AusLLx\nJjYiqwZygUFWNUChkNV8y6QWcmQ1leG92lD6OpIkKJ7n4Xa7szL353leJGkOh6NoEs0IabSWxtwL\nXC5X0ugrIaY0TSdMIkunfU0XfbWZTBjucqHEZoO1xRQ+Xj4QH31V1VczGgX1ww8QunUDnE5Ef/Yz\nxZqqsFfgqoFXgaGSL5i//prGnXdasWZNrDJaIRPVQkC28gHiuFEspDXVeXi9XoOsyoTCCn8UKPTg\nBpBNu2Q7t6mpCTRNw+Px5Gw3pDbyva6CICAQCMDr9cJisbQhbwTFEFklyWJer7eV0T75Tmpxk8yO\nyufzgaLUq1KmBnwf+RDaG8sSN1eY0enGTgBOR19tNhucTqd4zqRmuyAI8Pl88Pl8CAaDYulYQiAt\nFoto3WU2m0VSSyb1aDSKSCQSu+4ch/8EAmKfriwvh7WFDBAiLe2LVD9O9MZ+v1+UZRCirASYzZth\nWbxYkWMDwIcHP8TGPRsBxM59bOVY8flbuPDxNuc1cCCP554LFg0ZKkSQMWqxWMQxSgIe5N0iHaNk\n3BfiOzXVOPP7/QZZlQnFMbsUGPRMVqWm7/kSEC0iq/mATPIMw8hWgUqvIPeZSDukesv4aGr8dY03\n9y8WkkoQ+E8AtiobbH2Sm2+yLCu6YUgdIeKjrySCmqnzALnu+8JhPNDYiOd7985I+5poa1at6Cs3\ncSK4CRPyPg6BIAioe6gOdb+OlWY1M2ZY6Lbh0XXr3sGKFccxbNgW1NdPRJ8+PK68MpZAVVEBhIrE\nlapYSDeRq7AsKy6Mi9371ZAByIfimmV0ikKIrErLpMabvivRnhLItb1cKlCpeW5ytkUix/H3mRBV\nojsj7SaKpobD4TalUgsd/v/1w/lfMfPuTjd0Svq7+CSyeDeMfJ0HCDHtbzbj5TPOaCUdAHLTvsb7\napIobigUSpgYkwnMTz0FoUMHsFddRRrM6O8ywbqN6/D09qcx5MwhuHzy5ajpUtPq+5UrV2PZsrVg\n2aFobn4MdXW/BfAsbr65FsDVsvXDgDKQ6t714v2aDwwZgDowyKoG0HILOb5daRIRsSmSO6KoVmQg\n2+uaKoFK7rb0gHTeuER/SgiU9Foobe6vJfgQj/337Ef/l/qDcSU/L2kSmcvlymisZOM8sDkQwAeB\nAB7u1SshGU1UuID8bSba13TRV2lkixw7mS0RO348BJlLN698YSWWvbAMbCcWwbFB1P2tDg8teQhz\nr5+LOdefLs06e/ZVcLvL8YtffAyAQjgs4MEHb8S0aZfI2h8D6oOMUYJC8H5NNQ/4fD6DrMoEg6yq\nBCm5If+t9vZOfFtKJxFJt0b1tBIG9JVAlQ75EmNp5DjeG1dKWCwWi/hbACLJ4nke0WgUNputYLTL\n6SDwAtiTLMwVZtA2GgM2DEj+2xZtL8uyCaOp2SJZ9HWM2Ywah0OUWKTzfY2Ptkr/DZyO0mYbfY1G\no+L/pLZE1i1bwF94IWiXC+jXL69rEA+O53DuZeeirLwMdz9/N0DFzu/u2+/GtAmtvVljhIYCx4VQ\nXX07GhsTO1To8b2TC4rlPAiyOZ9UyVvxEhepvCVb79d8kex8DBmAfNDvDF3E0OrFIyXJqcqkyt2m\nWsiE1Ml17oUQWU0XOZZmqNM0DZukQDqJYoTDYfEz6RY28VAt1En05IaTaHqnCX2W9En5OxJNNZvN\nGUdTs8Fbp06hh8WCMx0OlNntKGspm5qp9jWT6Gs2zgPkO4qiYLfbW0W2mH//G5GePRHt21d2YrCn\naQ8e+vdDmEHPQJO/CdUfV6PR1wgKp8eYIADffENj0CAeDQ0H8eyzozB16lisX78FDQ0H82rfQOEg\nnXxAusiKH6dKvK9SkW+DrMoHKs2Eq+/ZuIBAMoMJTp48qXoSD4kOcRwnVmFSuv1Tp07B5XKpsm0s\nCAJOnjyJ8iQlKKUJVE6nM69zT9eWnGhubhazyDOFNHLsdDpT2lElikgRXSYplUqOSbaLCQGSRv70\npiWLBx/lQZlavB55ARAAikncX2k0VckksrUnTqCHxYLhaapRxWtfycScLPpKkCz6SpAo+sqyrKjJ\nRSgE2FonmkmJARkTibSv6caCPxobnyWW0+f+6LJHUdW7ClMnTMX6jevR8H0D5t8yHwBw8CCFX/zC\nhldfDSKTR5csMvS8a5IJWt2PIoDf74fdbld07omXD5D/T1cdLheQyK7Vam3z3cSJE7F169aCH4Mq\nI+ENMa6gRlA7Mict5xhfmUhJ6CECmUsCVTroVeIgCALC4TCCwSBsNhtsNlurvhLCIk1ykIKUSmUY\npo25P9E7Wq1W8ViEOJFoRjrypCUaftqALrd2getHLlB08numdDT1SDSKTi2R6doMFzuZaF/lir6S\n7xEKwXHRRQi88w4giQ6l0hUmyupOFn3907/+hEEdBuGaQdeIny2Yu0D872kTW2//d+8u4LXXghld\nLwPtG6nkA6mqw+Wy4E41B5AFpYH8YZBVjaAWiSNRMpI4Q9O0akRV2gc1EE8gEyWP6YlYZopMx4rU\ndiy+0lh8NDVRqdRsdJlkMpASf6k3azrypAUqn6iEqSL5K48kmHEcp1g0VRAE/HT3bjxWWYkBeUbK\n8nUeSKR9JYlVABBlGDRt3AjK4QDdQj6T9YOMqXTbslEhCofFAYZhsPBHC2FiUl/jHTsYrFljwmOP\nhVP+LhG0XiQbSAytFvjSBR+BdLGWyiEjVX+JjCrR5wbkg0FWVYIW9lXxZVI5jmulQVQDWhETNRKo\nyD3UmgCn0uFKSSqQ2I6KRFPzjSQmyzaXRjKkmldp1E0JRA5HsPfmvTjjtTNAMRTMHZITcGk0VVpq\nVm5QFIXXBwyASYHjJ4u+ZrqA4DgO0T174HrlFXB33QVQFPiyslb3kCCT5K346GsoGsIlf7sEG2du\nhNPkzMhTs6aGQ9eufKImMr4mhQ49vGOKFSTin4lDRq7er8a9kwcGWdUISpLVZGVSxe09FaGFDECt\n5DG1kOoapipkkE6bqrS5f6JIRiLbJukWHIn+y3HPzJ3N6PmHnkl1qYA60VQvx2Hunj1Y0a8f7DSt\nCFFNhlQLCGn0lYwxa6dOoKuqAIYBWu4fkN55gBDXZBEmiqJgt9ixZdYWeKyepH0BgPp6M2iawdCh\ngM1Gy208YEBD6D3amC55K5H3a6qtfjXmnldeeQV1dXWor6/HRx99hJqamC/xqlWr8Mgjj4i/++KL\nL/DZZ59h6NChivdJCRhkVSMoQeKkesVkvqHFTFaj0SiA2HZ4/Da4EtBSjyst4vqgcgYAACAASURB\nVOB0Ottsx6eLppItL7XN/TPdupZG/ojzQCY4ueEkOB+HDld3AEVRcAx1JP2tWtFUN8Pgls6dYdPB\noik++sqyLPw//ADzqVOg+vQBZzLh1OTJQHNz1trXRNHXzfs2Y9O+TVg8NlaOlRDV+L4Ap7Wve/Yw\nYBge1dXBoqtoZCCGQrp/yTTa0sStcDiMSCQChmHw3nvvoUuXLqiqqlIlsWrIkCFYu3Ytbr755lbX\nddasWZg1axYA4Msvv0RtbW3BElXAIKuqQWkZQCZlUrXSCSlN6KSRZIqi4HA4VBG1a0VWI5EI/H5/\nwiIOUjuqRJO63sz9E21dS4lPOBwWpSzxustE49na1wqk2TVWI5razHHY6fdjVEti0oU6s6+ROj64\nP/gAlq+/RvR3vxO/y1f7So4xsutInFlxJqLRaCuyGx+BDYUAq5UCTVO44goBsYRgR9LoqxqWRHpB\nMckAiuFcpBptk8kEjuNE/2me5/Huu+/inXfewaFDh1BWVoZf//rXGDFiBEaMGIHu3bvL3p8BA5J7\nRBOsWrUKV19d2NXdDLKqEeQiOtmUSdVDZr6cSJRA5fV6te6W7CD3jed5+P1+cBzXxtEhk2gq8U0l\nNlh6nTTIdnJ89JVlWbAsi1BL0XdCVE4sP4HON3SGyWWCY1DySKo0oqx0NLUxEsFbp06JZFVPkDo+\nuFwuUJdfjqjkvZCv9vWOd+/AT4b+BEM7DYXFYkGpo7SN60B84YK5cx348Y+juPhirlVfk0VfpRGt\nZNHXYiBGBvQPkmBFxt7DDz8MAPj8889x3333oaSkBCtXrsTPfvYz2O12jBgxAi+88IKqVmR///vf\nsX79etXaUwIGWdUI+RLHREQtXaKKFmRVqTaTJVCpeY5qOjpwHIdQKASr1dqGZGUSTSXRyXg7qkJA\nsixeQp5YnkXT0SZYYBHJU3zRAqX1uUDLMykIsNI0qu12/LFXL9nbyAfSaGrp44+DGjwY3MyZsS/T\nkLpskudmVM1A75LeIokE0lfdWrTIB5dLAMsmj76SfqSyJCJkmjyX0WhUcxcKA6fRnhYQFEWhX79+\nuPfeewGgReKyBzt37mxVgCUTjBs3DocPH27z+YMPPogpU6ak/Nt///vfcDgcGDRoUFZt6g0GWVUJ\niWQA8QbdmSLXTPdiIKtSK654H1Hpb4oFxFIl0b3OxI6KaKmIuX8xTBScl4PvUx88F3tgNpvRe37v\nVj6fJHoKnCZJLMsqrs999uhRHI1GcU+PHoocPx/EL1iEn/wEfIcOOR9PuoA45DuEpz97GgsvWAie\n51HTpQYcx8Hn8wFIZl1G4/77zbj99ihKSnhUVAhpo6+ZlI0lINIgsqhXyhBeDbQngleISHZ/vF4v\nXC6X+G9CXvvlkDG4efPmnPu3evVqUbtayDDIqkbIhcSlsijKtE1yHDUTanIl5fGQZr4nS6BS86Wu\nJPlP5I8rjWrlY+5f6Igei6Lp7SZ4Lm6drBNftIDocwlRIdvXShUtuK5DBzA6IxXigiUchmvDBmDa\nNFA0DaF3b9naqLBXoLqiOqvoK8Mw6NEDEITMo6/xzgNA4ugr+ZyiYj7ANE2nNISPlw8YUA7FRrxT\nvf+1KLUa3x+e5/HKK69gx44dqvZDCRhkVSNkS3TIlr/JZMqrTKsWWq58CV185nuqCGEx6HLjzf2J\nqTqQWTSVbPVmYu5fKIgcioC20jCVm2Dra0OvPyXfYo93OyCLOiWKFiw9fBgXud040+GAQ2eValpF\nU10umL//HtyJExDSlHbNBNu/3w4rY8WI7iNgYSyYNbht5CZRxHPfPqBHj5j2+KqrYvprrzf7qluZ\nRF+l77lk0VdyrEKPvhrQFonGiFpkde3atZg3bx6OHTuGSZMm4eyzz8bGjRsBANu3b0evXr1QWVmp\neD+UhkFWVUKubgBkwuE4TiRq+fZDTTKXz4s+XpdbWlqqq4lDCYkDiZxLk+WIDIAklZC246+F0mVC\ntcSRp4/AWeNE+dTU5Uml2tR4t4NUkb/4rPdMixb0s9lQqjOSKk2ms0UiMFdUgKIosL/9rWxtBNkg\nBGQ39n/4AZg924rNmwGbLbPoazbOA+TfwOn3TioPzGSG8HqLvpIEnmJAMUZWk51Pc3MzPB5Pwu/k\nRG1tLWpraxN+N3r0aPzzn/9UvA9qwCCrGiEd0YnXZsqVuawFWc2lvULS5coBInFIFjkn2fCJjNfV\nsGLSAuxJFqay2Ln0/H3PlL/NxTs2WdZ7sqIFhDh9EwphcMvxLystledkZYLUmqwEgGP8eIS2bwcc\nyV0SMoEgCNiwewMmVU0CTdG4rO9lWR+jY0fg3XfDrXK5EkU8s4mAJ4q+Et0ygFYLvFy1r6mir+S/\ni4mAGcgcqciqz+dDz56p31sGMkdxzGoFgGwiq/FlUrX2wswH2ZLHTBKo5GwvH8jRVny1sUTm/uT8\nA4EAALSq9ETse5S2YlIbfIjH15d8jcHvDQbjSj3+U0VTswVFJS5aQGyzAqEQ7vz+e/y5Rw90t9my\nLlqgFJJZk4Xefx+QwSJHgIDNezdjZPeR6OjomPHfffYZhRdeMGHx4hh5zOQyZat9lUZfyfcURcHp\ndIqf5aN9TVWOUxp9jZcPyIViikYW07mkg1qR1fYCg6xqhEREJ1mZVKXbVRqZtleIJD3Xa5nIeiyZ\nHRXDMHA6nQDQijiRjHcy0bIsK3vSkNoQOAEUQ4G20TjzX2eCtiQ/l1yiqdmCRNtI9MwBYMOgQQmL\nFsRLB9SalMl7AwBKDh2CddUqRH//+9iXeRDVEBvCvqZ9GFAxADRFY8mlS7I+xoABAq6/ns25D0B2\n0VdBEMQku3TaV3IMIDfngfhynFInCunvjOhr8SJdZFXtBKtihkFWVYSUKJL/Jv9OVyZViT6ogUzO\nI5sEqkzaUzOymguIDpnn+ZR2VKQNaTvk/FiWFSNo0prV0m1raQS2ECbKk2+exKk3T6HPk30AICVR\nlRI0pStxHYpEMKehARsGDADTQmTiixYQshJftEAa+ZP7HiRMJOvRA9zIkbIc/9PDn2JN/RosvmRx\nVn/3/+ydeXgUVdr276ruTi9JJ2EXAsgmqwyLIIYEd0FFB3BfUN4XRBFRUVCHGRVRxwFlhuEdRURA\nZURH/RRQURBUEiGAqIijgOz7Dkmn03t11fdHOE2lU9Vd1V1bd+p3XV4zCl19urbznOfcz/0cPEjB\n6wW6d+fgdAJ9+ij/PPKzr+ReYFk25gRBMu3JtK/AOc/eVLOvYplgLbOvmUJDy6zyratM0sMMVnWC\nPLAMw8Dv94OixNukKv29RtGsptLYQMr3KWWVJeW75EocyKJESOIgxdxfqFWqWJEIv2iIb5Zv1Imy\n4MoCuIsTv9zFtrvVpGVODv6vXTtRW6r4YAWo27SA6In5esv4pgVyqSN9CIdhPXkSXMeOQG4u2Ouu\nS+mYAHA6cBr5OfmwWWwoaV2CktYlso/x/fc0amqA7t2jyf9ympCiQr7rA0Gq9jVeB2607GtDCvAy\nDSMUWDUUzGBVQ/jBDQmoampqkrZJVWsMWiD2fakWUGUqZFECoJ7EQUlzf6GiIaHAib9tnW7glA77\nJu5D05FNkdcvD7SDBu0QX6yIBeuqjCsUwq9+P25o1AgAcIHM7fRE2df4pgX84EnKNQiHw3WkD9Yv\nvwR15AiYiRNl/sr6TP56Mu7teS+uOP8KWZ+LRgGartWk3nyz+kEq36JNrKgwHe0roH/2VaiYMtPJ\nJmcDIHmwasoAlCO7IwQDws8mAqjX411t9A5W0y2gkvt9aiIli8u3o4pv5MDP3iQz90+nVarUwCkd\nv9FUaT66ORydE7ce1CObGmRZHDtbUa4E/GCFbFXHOw8kCpyAONcHp7M28KEoRG+7La2xBZkgHNba\nazD/+vmw0PIXAY89ZsPgwSxuuEH9QJXf8EKORVs6zgN6ZF+j0Wgd2Q//uCbGJxAIwKlAcaNJLWaw\nqiEMw6CmpiaWTSTG71qil7UTeeGqXUBlJOsqfseteImDHHN/pVulCgVOYhknqX6jUomciODorKNo\n81Kb2oKlPyS2VNIymxpgWbAch1yLBV2dTnRVcaIhC5N49wexwAmovZ+I60POk0+CvfRSRJP0BU/G\nSf9JXPfBddgwagOstDWlQBUAnnkmgiZN0hpKUvg7DEo1vFA6+8r/B0g/+8pxXEyPGwqFYtZZYkG0\n0ck2SUOy35NJ18bomMGqhoRCoTraKj0CKy01neT7AMDn88W27LSSPKiN2PUjE4xQwViyAirgnA7P\narVq0ipVLONEsn6hUCgmHYifsOVeR2tjK1y9XAAHIMFH9cim/v3IEbSw2TC2RQtVv0cMoWAlGo3G\nsqkUVdsggmVZhMeNA92yJSwsm9L9QSbZZq5m+Oaub2Cl5U0FHAe89poV997LID+/1kNVTciihaIo\nVZ8Jo2VfyT92uz3WNpZ4x/Kzr/HygWx4v2YCYrIGoyRMsgkzWNWQvLy82IsKMFYWUA1IwEFQooAq\nGXqfUyLxsNlsSbOp8RMK2eZlGEb3VqkUldhvVE7Fe833NWDDLPJL80FZKTS9o2nC79Yym8rnqVat\nYDXQJE9cI2w2G3JdLtjmz0fkrrvA2O2IFhUhxDCIer2yFxFv//I2jvuO46nipwAA+Xb5ujqKqtWo\nhkIp/zxJ6LFoiceI2VcCyb7y3SiMnH3NtsxqIvSqA8hWzGBVR/TKrGrxnXx7Joqi4HQ6NXlhaq1Z\n5RfMEY/c+La4ybKpfAsio7ZKFco4Jap4r2PU7ouCCyW/JnoEJpP378foZs3Q3eWCzUATOpGA1Fm0\n+HygfD7YeDr3+EUE2SpO5P5wQ6cbYLOkthA6efJcFnX8+PT8U5OhZLMHJdE6+5oowCPvEiFNupl9\nVR+xa8O3pTRRBjNY1ZD4mzobg1WhAiqPx6Pa9+kN0ZL5/X5Bj9xkdlT8CTnTWqWKFW4xDIMzK8/A\nUeIAZaFgG2CDxWKJSQmEXu512oRqIH0g3Ny4MdrZ7Zp8lxTqFQ+dPg00rc1EM489Vu/vS1lEMAyD\nCd9OwLTSaWhT0AaN7I1SOr8eDzB0qAPl5UE4EtfEpQ3fkkqNZg9Ko0b2ld82NhKJ1AlMAeWyr/z/\nVZuGklkNBAJwpdni2KQumTMzZiHZFqyKdaDSK9upNmRCCgaDss39+VnETJmQk0EmSYvFAv8KPwr+\nUABbkU3U85X8Ew6HEQ6HNcmmchyHVR4Prjm7qCg2iGm3YDa1shKOoUNrW6byCrGSIbSIePCiB9Ei\nt0U9CYcc26yCAqCiIgg111PEPYN08cukxRufdLOvAGJZcpfLFWutnI72VSz7SsZDjsUfR6a/k9RG\nLPiurq42basUJjPfBFlCtgSr/A5UQgVU2Ras8rPHQK1vqpxsql6aTDXhWA6hfSE4OtRakZEuVAAE\nPV9J4RAJ5kkRGrl2ak2SIY7Df06fxiVuN/INct6JZKaePVmjRgiuXQukoF3ecWYHPtv5GSYNmASK\nolDStq65PwlS+DZJ8U0LaJrG779TWLjQihkzajN8asaOqVpSZQpSs68kMLVarXC5XLH3g5j2lX8c\n8j3pZF+FnAfI/6arw8y2zKrY76mpqTG7VymMGaxqiJAMQMvKfPKdSgVzfM/YRB2o9C56UhKGYWKW\nY7m5ubEKZUCeub9exSJq4f+vH0dmHMEF712Q8O+RbA0J5h0OR0wikK5ZfiIiLAsbTcNB01jYsWNa\nx1IKoWYP9K+/wvree4j87W+1fynFIrvmruboUNhB9M9pmha0zYq/Dk2bWnHllXYwDKea964allSZ\nQHz2lSyCw+EwbDYbOI6Dz+cDkJ72lTQbkJp9JfCDYDP7Kg+z1arymMGqjmRyZpVfQCWlsUGmZ1b5\n5v4ke8w39NfC3N9osKHahRZtp5HbKxedFndK+hmxLGI6ZvnJ2BYI4LF9+/Bl166GmVjFzgPXoQOi\nN9yQ0jE/3fEpujbtis6NO6PQUYgRXUZI/iw/6+f323HiBNCpU23weumlYQQCTNrXQQitLKmMDv88\nuN3uc/eDQs4DQtlXoQCVj1AwnU72NVsSFnxMGYB2mMGqhmRDgZVQAVWyAECPAEHJ7SZi7m+1WgWz\nx3qZ++vNwb8cRG6/3JgVVaLfJZRFFPr7ZKJLZJbPMIwsu6ZuTicWd+pkiPPO1yrHsqlHjwI1NeA6\ndwZyc8GWlCQ/kADBaBD+iD/tMZaVWbBnD4XHH68b/CS6DnzpgJTzbARLKiPAdwIROg9qOg/wrbPU\nyr7yA1j+cbKBRPOo2WpVecxgVUf03B5PJZjjb4HL6UCltWZVKYgWl9/MgMDf8iddquJtgvgavGzJ\nGnEsB4qu/X1tXmgDypH8fItqMiUipvXj2zWRyZZch01+Pw6Ew7j9bCV9EwNsLYs5HtDl5UAggGjn\nzrKOx7AMVu5ZiaGdhgIAbuuWettV8nhSFDB8uHDL1ESaS34BXbyEQ2hxFwgEwHFc1mi2U4Hs1kSj\nUVnnQQ3ngfjsKzG7Tzf7ytfhkmOI+UxnKkK/w5QBKI8ZrOqIXplVuSQroJLynVr+TvJ9qb4MSbbD\n5/PFtLhCBVTAuUYPJBAhkwR58TudzjpBbibDBllsvXIruq3sBovbAtqZOOiUmk2VixS7JlswiLyz\n9y0/66cHJIsYDAbx5owZePzFF0GzbG1kSFGI3nFHSseNRCP4fNfnuKrdVXBY0/OSeu45Gy68kMWt\ntwoHqkLwr4NQAZ1Q5zOy02C322Od/BoipPU0aZ+bznnIlOwrw9T68pKFCn8Maumh1STRHOP1etGy\nZUuNR5TdmMGqhhhBBsD/3mQvB6GgLdUJX49gNRVIpjQajdbT4grZUZEXLSEcDse0qRaLJaZzjc80\nZdqLGQBoB40LPrwAFnfyDJCWGl2O4/Dc3/+O+x95BAU5OXBbLLgoN1ewYIhvlq/FdSDNIgBg/erV\nOLNwIb6++GIM/fJLMDfdBHbIEFnH84Q8OO0/jQ6NOsBpc+L1a19XZJz338+gSZP0n1Eh2ywSqASD\nwdhzSYLZRJ3PshGtismMmH0FEGuawveSjc++8osqM/W+8Hq96Cxzp8QkMWawqiN6B6uJkFtAle73\n6Q2ZRAKBAOx2e71sRzI7qvhuO/H93flZP0D5ane1qF5TjeryarR+tjUAwN46sYG+WtnURCxduRLz\ntm7F1o8+wuihQ3F9o0Z1JmtSuJVsy9pqtSo2Vr4Wcdn772PZvHnoxTCY5fXiz1On4g0AN/fvjztl\nHverPV9hf/V+TB4wOe0xvv++BUOHRpGfDxQVqfN8kmefBKZOp7NO1o90PqNpOisWdIngL1y0lgWp\nnX0l78Vk2VdyTckxEwXTRs++Jkr41NTUoKCgQOMRZTdmsKox/MDNiMFqKgVUUr5PS4suuec1Go3C\n5/OB47iUzP1JUCJk7i+U4RCrdlcjaEoXZ08nrM2lvSa01uguWLwYr73/PqIdOsA7bhx2Ll6MZ/7z\nHxy9806MufvuOn9XaMuafx1IFzI5hVtixC9cRt5/P5o3boyNEyaAAsAGg7h/+nRcM3y4pOMdqzmG\nFrktQFEUbu12q6yxJOLwYQpVVRTy89V5B4llEUkgE29Qr7Z9mZ6QjlxGKibTOvuaaA4Qk/YYOfua\nTAZgalaVxQxWDYCSletSEAvmUi2gSvX71ELq9/EDc6fTWU9Dlyybmoq5v1i1u1DQFB+8qnmPcByH\nmVNnYvK0yTg26xgaDW8ERwcHbE1ssDVJbksm2MteZUbecQf+5vWC+uUXgKIQjEYxfcIEDJe4tU5R\nFGw2m+CWdapZcKJNjV+4UFYrggyDiZ07gzt6VNb1HLN8DF656hV0b9pd0t9PhNcLkDl08mQm7eOJ\nIaeoTigLzn8mEjUtMDr8Iiqjd+RSK/vKD4CB2mckmfYVkJd9jQ9g9cZ0A1Ae4z45WUp8ZjXdYqB0\nxwDUvgT8fn/KBVRyv88IkMA8vjUsIM3cX0nbHaGgKZHeUo2X8sqlK7F13las7LsSA7oMSFo8RdDD\n8YDhOFgpCnaLBdPatMGkjRvRdeFCHA4GQSF1Rwix7I5Y0MTPNJG2u/yghNq/H/R//4voDTfg8O7d\nuGLBAlw9bBhWL1uGw7t31/t+juMw9W9TMW3KNISioVjR1Ke3fgoLnf7CMRAALr/cgTVrglAr6aPE\nsyG2oCNBk1bPRLqQgJ08G0Yam1SUyL6SgJ3jONjt9nrHSdV5AKibfSX3Bf/vkYBXjXOfLLNqygCU\nxQxWdUYvRwCSvVCqgMpIJJM5iAXmybb8AW1apSbSWyotHVi8YDHee/U9tKtqh3HecVg8dTFetb6K\nO8ffibvH3C36Ob2yqf/v9Gms93rx93btAABHDx/G3Ntvx7AhQ7Bs5UrsPnhQ0e8T6/TE9xrla/Wc\nTue5eyIUAnXoEADgfyef05iKbf8v/WIp5n03D807NMcydhlW3bUKABQJVAHA6QTWrg3C6VTkcPVQ\n05JKTtCUyDZLC/gBu8PhyBo3EEB+9pWiKEQiEVit1noBe3z2Va7zACCefeXLB9TKvibTrJqZVWWh\nkgRKxkqHZQGRSKSOdsfj8dQpyNGCmpoa0DQde9Hn5uaqGmwQvZZWD29NTQ1sNltsFU8grWFJz20h\nexUxD0A9CocSwZ+oSeYvFekAx3FY/p/l+OyxzzDGOwbvtH4HN06/EUOGDxH9LD+b6nA4VA8IWI4D\nfXYsgbMTnEuFRYJcyMInGo3G2mNSP/yASLt2sDRpUidwSnQdFixagDmL5oBpxmBXn13otLkT6OM0\nJvzPBIy5d0xaYzx4kMKCBVZMnRqBmrcrecZzcnJ0s6TiSwfIc5Fq04JU4Qfs8e+YhgIJXsPhMCKR\nSJ3FnFD2lU+89pXEJ1Kzr4nGQ7xfo9GoItlXEgjHzzMAcO211+K7775rkNdfAQQvhJlZ1Zj4B0Lr\nzCr/ReJ0OjXZntJbBkCqcIltSjI7qvjzYcRWqUIWQXKsmvy/+AEr4OrugtVhRRhhLOy6EMHDQYAS\n3krXI5vKcRyGbNuGuR06oKPDAacBzj1Q1yeTr021ffstIkOGINKypWi1e/xCYvQ9o1F+qhxfl30N\nUECQCWL6pOkYfr20AqxENG3KoWdP9YobjaTJFNMgxztA8DOvShYzGiFgNwJkYc9xHPLy8mJSACW0\nr6lkX8Wy8ulmX5PJ9xrq9VcLM1jVGS0DOaLTJKtBp1r7gXHoVWBFtuP8fj/sdruoub9YAZVeW92p\nkEg6IDRRe//rha3ABld3Fw7sPoDb596OIcOGYOWylTi4u/5WOgnOrFYr3G636i9i/jVZ1KkTWhpk\nK1XonqD27AHXoQMAIDJ1KgDABsiqdr+0zaVYEV6Brpu64rD3cFoFdYEAcOwYhfbtOTidwM03Szf6\nl4OSxvZqIOQAEd+0QAkHCP49oXfArjf8e4LvJKO08wD/3U2OQ75HjvY10TOaavZV6xqUhkLDfaoM\nghaBXLxOkzzYWqJ1ZjUajaKmpgYsy8q2owLOZUm0Cs6UJn6i5jgOnjUe2EpstZZKw2pN871eL+55\n6J5Y9uPa4dfWOY4eAft6rxdzjx/HO506AYBhAlW+/CF2T5w+jZz77kNo5UpA5NwILSQi0Qge/epR\nPDfwObgsLhw9eBSzx87GsOuGYfmq5di5d2fK4/zmGwsqKmj89a+RlI+RiExaxMWTqGlBvAOEFBkH\nv4gqE98TSsHX6Uq5J9J1HgDOBbBaZF+JfI+feSWLf7Hz0VDvBbUwNasaQx5GAukr73Ck1y5RDCGd\nJtmazM3NVeU742FZFh6PB40aNVL9uziOg9frBcMwcDqd9Xxik2VT+VXdTqcza7IkbITFnjF70G52\nO1gbCTcsiJ8cANS2LrXZ4HQ6VbfOIsePsCxOMYxhgtR6wZnFAvj9QF4e+QtIRRC6fNdyXN3uatit\n9oR6y1QyfikOKSl8Syqn02kISYzS8HckyPWIl3EAtQtaUkSlt4ZdT9TS6cZnXxmGSZh9jR8T/13P\nj3OkZF/FxsPXvfK1rzRN48iRI2jVqhVomsawYcNQXl6uyHkQ46OPPsJzzz2H7du3Y9OmTejbty+A\n2vvyvvvuw+bNm8EwDO6991786U9/UnUsCmNqVo2IWplVMqkIFVDptS2vNnyZQ05OTh2ZQ7JsKnFG\nIMGZEbc15RL1RRE5GoGjkwO0jUanRZ3q/LmYdIBhmJjmDDinQVOzNeb9e/ZgdPPmKHa7YaNpwwSq\nQnpl65tvgjpyJLblLzUqPFR9CBuPbMTNXW8GAAztNDT2Z2J6S6kZv9mzrWjShMPIkWQ7VJGfHyO+\nwj2bgzMpenDybOTk5GRlwC4Vsu2vhk7XqNlXAkkCURSFaDSKJ598EuXl5bjwwgsRDoexZMkSXHLJ\nJWjZsqVi54RPz549sWTJEjzwwAN1/vtHH32EcDiMX375BYFAAN27d8ddd92Ftm3bqjIOrTCDVY1R\nu8CKBBaBQAAOh0Mw6NKr4EmtrRFS5EG2oMiLif/nclqlqmFHpQfVa6pRs6kGbZ5rI+nvU1Rtl5lQ\nKBTTnPEnB5JxVsOc/c9FRWgjUFWrF/XcHywWUGd/JzNqFJDCPcKBwzHfMUl/V8xTUuxaDB1qQ+PG\nNADlAyc1LakyAf6ijqbpWHBmsVgQjUbrXYtEGb9sgf98aCkFMZL2lRyPaF8//PBDVFVV4euvv8ar\nr76KN998E2PGjEF+fj4uueQSFBcXY/z48Yqdq65duwr+d5qm4fP5Yp0Zc3JyssJGywxWdYYECEog\ntQOVHplVQJ1glfjEWiyWmE8smTzi7agSmfsLtUrNREIHQ8gpygFFU2g0tBEaDZUmvSABP8MwdYpE\nyHlL1XVAjN3BIKYcOIAPLrgAFEWhvUoymFSo132JomC//nqEZ88G17kzICPru+PMDhTaC9E8tzna\n5LfBQxc9lPK44jN+K1fS6N8/DJeLQcuWIUSjUVRXy78WieB35GroFe5E7yY+4wAAIABJREFUCiJk\nNSg145cN54+4qwDQ3R1Fz+yr0HxWWFiIbt26oXfv3pg/fz44jsOOHTuwYcMGbNmyRRNZ2S233IKl\nS5eiZcuW8Pv9+Oc//4nCwkLVv1dtzGBVZ5QIHOMLqKR0jdE6s6r0S5pke8LhMHJzc+sZb5MtVPLd\n8d+vhbm/HuybuA9tnmsDV0+X5M+QYjKbzZa0SESu64CYdKC93Y6prVsbavJOtNUdnj8fXKtWso/5\nyfZP0LdlXwxuP1jp4WLTJgvatrWhW7f6WSb+tUileYSRLKn0RkrrWDkZP72bFqRDJthzqZF95Qew\nZF4h/x1AnetYXV0dy2RSFIUuXbqgS5cuKf2Wa665BseO1d+Neemll3DjjTcKfmbjxo2wWq04evQo\nzpw5g0GDBuGqq65C+/btUxqDUWi4byCdUHpLnl9AJbUDlR4vGCWzueFwWLTrFlntkurN+Emav32l\nRKtUI8CcYWBtXPsod/5/nSX/HqEWoXJJZA8Uv109+/RpdHW5MKJJE9A0jR4u6QG12vAXL3l5ebDs\n2AHbP/6B8Lx5AACuqEjysU76T6KZqxkA4E8D0y9s4DgOU6f+E9OmTUQ4TIGoJZ5+um61vxyrpviA\niX/PGN2SSiv4Ona57wqxjB8p2iLdz7RuWpAqmWzPpUb2lTxHfCkBUBu08oPVdFm1apXsz7z//vu4\n9tprYbFY0KxZM5SUlOCHH34wg1WT9Eg1iGNZNqZLkduBSg/NqhLfyf/NeXl5oub+NE3D7XYLTtLk\nzzPthSuG/1c/9j+xH92+7AZA+kKEn01VOiARK1D5Y0EBmtI0ampq6kwgek7S/GwqPyDhOnYEE1e4\nIIUQE8L1H1yP1XetRoFdmd7gS5euwrx5J/GHP6zGjBk3YsWKIJo0kfbZRMVCQoVb5L+7XK6MsqRS\nGhKQKKljT1REx8/4qdW0IFXItj9FUbpv+ytFqtlXci74PrL87GskEsHixYtRWFioqX0Vf25t27Yt\nvvnmG4wcORI+nw8bNmzAY489psk41MS0rtIYMjkSiM60oEDaxMYvoCLG/nIfCC2tpAgejyflCTDZ\nb5Zi7h8IBGI9qgHUW0kbOasRDxs5u/Vko2P/Tv5/0s9qaM11hmHw0N69WNSxI2wCrW359kBEEybF\n21Ip+No7p9OJnPffB9emDdjLLpN9rCgbhYWuDWgYloGVTv+8LljwPubM+RgM0wu7dr2ETp3+DIra\ngocfvhljxtyZ9vEBxGx9SMBOaEjFQvGIGdtrgVgb5XSaFqQDWdRmyy6UHPjZV77lJCmoIteG2E4e\nP34cDzzwAAYPHozHHntMdWnZkiVL8Mgjj+DUqVMoKChAnz598OWXX8Ln8+F///d/sXXrVnAch9Gj\nR2PSpEmqjkVhBG8yM1jVAf6kQIzZpQig+QVU6az2OY5DZWUlGjdunNLnU6G6ujqlqlFS0UgqkdMx\n9+f3sTdKwJQK+x7bB/dAN5rcKjG9dhZ+NlWLSZjjOKzzelEiwSxdyNtSrYBJbHuXrqgA16wZuAsu\nkHW8b/d/i3d/fRcLhi5QZHz8cc6btwpTp26A1zsdrVs/henTizF8+DWKXTshnS6AepO0ngGTVuhV\n4Z5sTOR5iA+Y1HxPZfK2v9Lwi0+dTmfsmnzzzTcYNWoUevToga5du6KiogKvvPIKbrrpJr2HnOmY\nwapRIL2IAWlZTr41k9QCqkSQYLVRo0aaTTherzcWGEiBvCyDwSCcTmc9Mb9Uc3/ygpEy8YgFTHKL\nU9SAi3KgLLXfHa2Jgs6VHixomU394NQpRDgOI5s1S+s4QlkNJQImvk2Zy2qF/e23wdx/f0pWVIRI\nNIKqUFVMp6okH374FR58cA3atQMOH+Ywd+6VGD78GkWOzc8sJzJzj9+uJsboyYroMgn+VrfRmx0k\nWtjx31OpXg9+QVk2OKSkA79DmdAupsfjwaxZs7Bp0ybYbDb89NNPcDqdKC4uRnFxMa6//vqUi6sa\nMGZTACOSTMuZSgGVlO8k36vVi0iOZjWRBVd8NlXIjopv7i+nBaKYvo+I8OOLU9KdFKTCeBhsu3ob\neqztAdpOw5InLbDSo9FBn9xc5Ch0jwppylJti8k/FzGbMo4Dqqpqu1G53bLG99d1f8WlbS/FoDaD\nYLPYFA1UZ8yw4vLLWQwYwOLAgcNYsOAKDBt2NZYtW43duw8r8h1yLKnker4q6b+rBeRcZMpWt5Sm\nBQDqOQ9I+V2Zdi7UhJwLh8MhmGSpqqrCQw89hB49emDVqlWwWq3gOA67du3C+vXrsWHDBmzevNkM\nVhXCzKzqAD+zKpblTKeASgpVVVVwu92aWTZJaSubLIMsx9xfjQxifMCktu6Vv5iIHI/A1kL6PaD2\nuSBEWBYT9u3D388/H3ka239JlQ7Uyab6fLAdPAi2f/+0vnvz8c1oX9AehQ7l/Qs3bqTRoQOLNJPT\ngsRbUin1/McXbmWCJlytc6E3RIfM35VI1qY0W89FKpBdPVJoKHQufv75Z0ycOBFTp07F9ddfb6j7\nOgswZQBGgdgqESorK2NZUyUKqKTg8XgEza3VIlmwSsz9rVZrvS3JeHN/oQIqvrm/Vv5/QrpXpbZH\nTy46ifDRMIqekm6ZRMbEzyBqcS6+rKzEVQUFimRU00FIOkAy+uTes23cCEtFBZgnnpB1bH/Ej1d/\neBWTBkyKFVIpxf79FF56yYa5c8NQ81JpWTgUX13ND5iMIKshbXSJlj3bg434Z4O/mCBWfxaLpcFv\n+5Mkkdi2P8dxeOedd/DBBx/gnXfeQbt27fQZaHZjygCMCplQpXagykTEZABEK0ZWsfztFikFVHqa\n+8vxGJVbKFR4XSEoW+p6TDXPxXfV1dgRDGJM8+YAgOs0dJVIBF86QKyHotEoHIcPI9qqVa0+s2dP\nWHr3hjUUkrU96rA64LQ5EWEjigerrVtzGDmSUS1Q5RfLaFU4lMxnlG8np2XhlhGLqLRASFZDLJrC\n4TAoiorNP5nctCAdkjkf+Hw+PP744ygoKMBXX30Fu4HaQzcEzMyqDsRnVquqqmC1WmOVl1pohVKt\nzk8V0lvcddYInmRDSZ/t+BW9lGxqJpj7JysUimWXOGDnHTvRbnY75LSU3s6TfIeW2dR9oRCOhsMo\nlqnz1Ip41wP72LFgxo4FO2BAnUKhZNujx33HccBzAP1bpScZEOKFF2wYMCCKwYOVabUsBr9YxmiF\nQ/GFW/xKd7laSylILShrCAht+/MXEw3NBSKZ88GOHTswfvx4TJgwAXfeeWfWnQODYcoAjAJf0xUO\nh1FTUwOr1aqp4bLc6vx0IVnG3Nzc2ARKMoBy7aiMPAEnQ2yCtlqtCP0SgvsiNyxW6RN0HT2mSloz\njuMw9dAhPHLeeWhq4ExUnQxiKAQbEX1yHMTSlokWExuPbcRPJ37C4wMeV3xy2raNQuvWnNy6LskI\nWVJlwgQb7zqglIVZJrQJ1Qry/kwmgUjmAqG3lEMJkrlAcByHpUuX4rXXXsP8+fPRvXt3nUbaoDCD\nVaPAMAwikUhs+5s8KFoFjgBQU1MDm82m2VYGCSJsNhsCgQAcDke9F6UUc39ynEyagMWo+bEGlZ9X\nouiZonrZvmS6V62zqZ+cOYMr8vPRyKB+i0SDaLFY4PJ44BgxAsF162RbUh2uPowmjiagOErRbN/B\ngxQefTQHH38cUlWXCmRXBlFIaymn+5npF3qO+AVMKvONUFFjsva9RoVouMXen+FwGM888wwqKyvx\n+uuvw23QnaQsxAxWjYLP54tlNp1OJ3w+n6aBIxlDsup8JQkEAggGg7BYLPX0lFKyqfxghG/un8kw\nVQwC2wJwF9d9CSarcqcoCqFQSNVs6u+BAMqrqzG2RQvFj60kdbKpOTmwkfs5HAZSmIxHfz4aY3qP\nQUnrkth/E5MOSNH2kaQuxwG//UbhwgvVe6XqUVynNXKKGpN5ZDYkyA4MkWIp2WBDj6YF6cCXkIkt\nYA4fPoz7778ft956K8aNG5cV800GYQarRiEUCoFhmNhDonXgCKDO1oeaEG1UMBgETdMoKChIqVWq\nHHN/I3PklSNo9MdGcHaRft752SWid+YXTKiRzTgeiaCsuhq3SW1CrwNkAUPTNPIXLQLl9YJ58knZ\nxwkxIdittQtFKd7D8bZAYi0xp07NQa9eLG6+OZrS75MDv/FDQ7MeEmpRSgo6+c4HRgqYtETr9rGJ\npBxa+lOLjS1R0M5xHL799ls8//zzePXVV3HxxRdrPkYTM1g1DPwVKKBd4MgnvuBJDYjUgaZp5OTk\nIBQKIT8/H0Byc3/yeS3bg2pB1coquP7gkl1Exd/aJedC6cKU+SdOYHBBAdoavMqVnxmJyUE8HsDh\nqP1HBmcCZzD4/cGoGFWBHEtqMpy6/rtRRKO11+PoURtatqThcilbKBSPnr3sjQZ5TkigyrdpUqtw\ny6gYxflAzINX6+uR7DmJRqN4+eWX8csvv2DhwoVoYuCFepZjWlcZhfiHRE53JyXHwHckUBJiGxQO\nh2MNDRiGqdMIQaq5f6brzCInIjj13im0nNgSAFA4RJ6JPF9nFu96EN9RiEwE4XC4zla11K04N01D\n3dr09IkV11EUmt53HyL/+Ae41q2BwtTM+Rs7G2P1XatTDlSBczZNJ05YcccdOfjmmyAoikP79sxZ\na7VwPemAEoUpelhSGRmxIqp4k/z45yMbbZr4GUQtC3eF4O8C2e32eh68/OuRbiGdEPx3qNhzcurU\nKYwbNw6lpaVYsmRJVt0L2YKZWdUBlmURiURi/86vlNcKtb6T2FHZbLY61ZUMw6CmpgZutzuhHVW2\nae7YAIsTb51AiwdbyP4tfA9Zp9Mpa2tXaKs6fjI4FY3i88pKjD7rl2pkhLKp9M8/g+vVC5A5sXy+\n83NsObEFfyn5iwLjAlj2XB3XoUO1Vf5C4xeSDqTaupevx8wWDXeqpFJElc02TckKh4yIWEOPdDug\nkcQJcZ4Rek6+//57PPHEE5g+fTquuuoqpX6SSeqYMgCjEB+shkIhRCIR5OXlaTYGpb+Tb+4f3x6W\nTAxerxc2my22yua/OPjbd5muuasuq4Yl34LcPqktBBJlU1NFaCuuhmXxb48HE887z5DtMAkkaLfs\n3Im8L75A9C/pBZkn/ScRiATQtqBt2mN7+mkbunRhcc898nSpqW6NCkogDHjNtEIpG7tEnq9GLRSK\nxyjb/kogVkgnJxuezKKLZVnMmzcPX3zxBRYtWoRWrVqp/bNMpGHKAIyCUWQASnwn39zfbrcLFlAR\nuQHxWCXZUwCxbkMMw8But2dMJiARjIcBUkx0qdWRi2Qpvq6pwfl2O7q4XMhlWUx0OmMdhQBj6frq\nBe0dOwK9e6d0rFc2vILbu92OtgVt0czVLK1x8Y0GJk6MIJUGXkJbo8m2qmmajt0bem/t6o3SPrJC\nHbeU6kanBXxNezbcG4m6A5L3lVhhI0VRCIfDCAaDohZdXq8XEyZMQLt27fDll19mdGDfUDCDVQOQ\nqcFqNBqFz+cDx3Fwu91Jzf3jJ2dSzU3+PBwOIxqNGiZYkgrHcDiz9Awa39wYFEWh8R8byz+GCtlU\nITzRKLxxXpWERLpXrQ3AyeRrX74c7h49QF14IWC3Izp0aErH69K4S1q6VMLJk8B11zmwYUMQVivQ\ntGnahwRwzq4tvt1wbdFWbbDEd4EgbiINscpdq7bCNE2DpulYIMPPhpN3FYC0t6rTpaE0PBC6HucK\nG5mYnR/5/Xa7XTAI3bp1KyZMmIAnn3wSI0aMyNrzlW2YwaoByLRglWjEyMo1FXN/oa1MJYqE9MK7\nzovCIYWwuOVPnGplUwHAH43ikzNnMPJsN6dEVlTEtYEg1ss9fnJWEr5u2W63w261gmMY2Xokf8SP\nFXtW4KYuNwEA/tj5jymPKRoFGAaw24FmzYDVq2sDVbUhC4pwOAwAMX250O6EnsGSlvAruuNbNKtN\nokIhhmE0X+A19IYH8Qtukjwh2VbyjIwdOxbNmjXDgAED4PV6sXTpUrz77rvo1KmTzr/ARA6mZlUn\nyLYrUPuQeb1eFKZY0ZwKqX4nwzDw+XygKCotc38pGrNk5vh6bsNFTkQQPhpGbq/UC9S0yKYGWRbP\nHTqE51u3Rk6a50pMZ6lUsMSyLAI1NbCtXAnLTTelFbR7Qh68sPYFzLhiBix0esH/s8/a0K4di9Gj\n1fdL5ZPMuk2Kri/T22ESMkWPKeT5qkaHp2RtQhsa5FmJf49yHIfvv/8ea9euxerVq7F582Y4HA4M\nHDgQxcXFGDhwIPr166epbaRJUswCKyMRDodjmU2WZeHxeNAoFfFbisj9TmLOHwqF4HK56gVWclql\npjrZiPVxVzPTJ0bViioEdwZx3sPnpfR5fjZV6ZaY//X7wXIceqnsLiEULHEcJ1v3WscFgmXhnjIF\nkZkzAZnj94Q8qA5Vo01+m3R+FgCguho4awkMnw9wuaB6m1RCOhmzZMGSls+IUpBnJRMDs0QdnlKV\nO4kFZg0R/rMitiu1d+9ejBs3DqNHj8b//M//4NChQ6ioqMD69etRUVGBPXv24Pjx47oX9c6ePRvz\n588Hx3EYO3YsHn30UV3HoyNmsGok+MEqx3GorKxE48bytY6pIuc7I5EIfD4frFZrvcBKjrm/1WpV\ntO2h2pm+ePy/+OHs4QRlSf14WlRzLz1zBjSAP2p4PxHEsuFimT6WZRE4dQrU8ePI6dYtra3Md355\nB56QB4/0fySt31BZCVx1lQMbNwahdQJP6RahWj8jShIvCcmWwEysfW+yHaOGvu0fDz+7LCQJ4TgO\nX3zxBWbOnIl58+ahV69egscJh8OCRVha8uuvv+LOO+/Epk2bYLPZcO2112Lu3Lno2LGjruPSCdMN\nwOhIafWo5XeSQgbycox/oKWY+/NbQCr9ck2mIVO6wv3IK0dQ9EwRnJ1T2zLi2+woWbHLchw+r6zE\njY0agaIoDNchSCWIFaWQ68HXvQK1E0VeWRns27aB6dlT9vd5w164c9wAgFF/GJXyuEOh2ip/txto\n1AioqNA2UI1fxCg1eUrVWfKDVyNow8lODvGC1jvrpSRC2nD+9RDyfCXng6ZpuN1u3a+P3iTLLkci\nEbz44ovYt28fvvrqKxQUFIgeS+9AFQC2b9+OAQMGxFquX3bZZfjkk0/wxBNP6Dwy45A5+ylZBv/h\nIoGelkVWiV52REvp8XgAAAUFBaIvVwD1MjPk8zU1NaAoCnl5eZpkAYjgPicnBy6XC/n5+cjLy4PN\nZosF3tXV1aipqUEwGKzTVUsIjuUQ2n9OW9zp351SClRJRsTn88Futyu+7c8B+MrjQVVUW02lFEiw\n5HA4kJeXh/z8fDidTkRPnED47GLCN2QIqidPjtnRyHkObvn4Fvx28re0x/nyyzZ88MG5e1Rm19a0\nYFkWPp8PDMMgLy9P1ckz/hlxu91wu93IycmJ3afV1dXwer0IBAKxYFZLiCczeXdkU6AqBP8Zyc3N\nRX5+fmxxT2oEfD4fgNqFt9xnJJsg92ggEIDL5RJ0Pzh27BhuvvlmFBUV4YMPPkgYqBqFCy+8EN99\n9x3OnDkDv9+P5cuX49ChQ3oPy1CYMgCdiEQidSaBqqoquN1uTV/MlZWVKCgoqGfO7/P5YhmNeHP/\nZAVUfFsZp9NpuK0qvh1QsqIt32Yfjsw4ggv+c0HK36eUaXk8x8JhHI1E0EfDrmdKQDIije+5B9Fn\nnwXbt69gkVCiTB9/NyAQCcBpSy3TffQohZYta19xDANNKvz5GHWbWy/pQKYUUWkFP7tMMm7891am\na5HlwveSFVvwl5eX45lnnsGsWbNQWlqq9RDTYuHChZgzZw5yc3PRo0cP2O12zJo1S+9h6YGpWTUS\n8cGqx+NBbm6upsEdP0AmEwXZWonXy/EDVbECKlLZnkl+f/FFW+GqMGg7jZzcnFgQm8oCQm1t6qqq\nKmwPBvHweakVeGkNx3EI1tQgwnG1gQgAsX32RC4Qh3yH8NjXj+Gz2z5L63xWVwNXX+1AeXlQ0ywq\ngb+oM3rHNjHXASWlA1ICkYZEMu1ysgVFJvlUSyFZC1mWZfHPf/4T69atwzvvvIPmGdBCOhF//vOf\n0bZtW4wbN07voeiBGawaCf4LBgCqq6s1zyaQAJmiqJi5f3zALCWbmk4Pe6Ox58E9KLi+AHmD81LO\nKqmVTV3n9WJAXh6sGTYBMQyD0I4dKLz/foTLy0HJPB/8BQXDMNh5Zic6NepUr2gr2cTs9QLBYK1X\nKgCwLKBHTJTMkioTUNJWjnQbMlJ2WS/42XY52mX+giK+cEtqe1Ijwk+CiM2PlZWVePDBB9GnTx88\n++yzGTv/nDhxAs2bN8eBAwcwZMgQbNy4EfnEkqRhYQarRiI+WPV6vbGXtVZ4PJ6YebLT6ay3YpVj\n7p/JE03UH4XFVfuC4xgOlLV+RpkfLAHCRVtqZlM5jsMDe/diSqtWaK9HKjAF6tmVeTwptXxa8vsS\nMCyDW7vdGjuuUB/3ZAuKmTOtKCwE7ruPSf/HpUA2V3PH71BIWeTxt7mNKBnSGv75UCLbzm/qwbcx\nE2pPakQ4joPf7wfHcaLZ9s2bN+Oxxx7DtGnTcO211xr2t0jh0ksvxenTp2Gz2TBr1ixcccUVeg9J\nL8xg1UjwJ1kAqKmpgc1mg91u1+T7GYZBdXU1LBZLvSIGpc39jUzkdATbh2zHhRsurBOkJkLIeoam\n6dj/KrWtG2BZ7AwG8QeXK+1jaQ3DMMCcObX3xfjxad0fv538DTRFo1vTboJ/znFcPS0y2abetcuG\nHj3os9eD0swrNR7yvChlSWV0kkkHKIpCKBRS3M4uUyG7MaTQSo3zIbbIU8otRUlINyqx3QeWZfH2\n22/j448/xttvv43zzz9fp5GaqIAZrBqJ+GDV5/PBYrHEhPRqQVar4XAYNE3DbrfX+U455v5q+YRq\nAT+DGvVFYclNLbgk2ZBIJAKr1Ro7f0p02vqhpgaLT53CrHbtUhqbHtQpkjl1CrbCQkCmlRbHcViw\nZQHu6nEXXLbUAnWWZeH1RjFihAv/+U8l7HZ9up+pZUmViZBAKRwOxzKvRulIpxdStrnVxGhdAqWc\nD5/Ph4kTJ6Jp06Z45ZVXGvQzlaWYPqtGRgvrqnA4HFu9FxQUxAoaAPnm/kr6hGrNsdeOgfWzaPVE\nKwBIOVDlZ8vcbnfsfIj5Jkqp3N0RCKCN3Q4nTaNfXh765eWl9iN1IBoOwzJhAtipU5HXsiXoFPVW\nFEXFulHJDVZPnQICAQpt2tAoKKDxzTcRAHmSvCyV3hLla7kz+XlRknA4DAAxr1Ctr4mRIEV2HMfp\ndn8k8kXmLyq0aCIhxVv3999/x/jx4zFx4kTcdtttWXtvmNTHzKzqBMuyiEQisX8nLy2XClu+pNKW\nYZg6dlQkm2u32yWZ+zMMk7GWMny7I8bDgHbQoO2pTQ5yW8fyt9+SFW09tHcvRjVrhoszKEjlZw/z\nvv0W1ODBoGT22g5Hw/jlxC/o17JfWmN5800rLBYOo0cn9pxVc0vUqJZUekIWuomcQhJdEyM1LFAC\nUt1u9CK7ZHIOoa50qSDF/eCTTz7B66+/joULF6Jr165pfZ+JoTFlAEYiPlglnZ5yFfTNJFsqfr9f\n0I7K7/eDZVnk5OQIrpb5k67RX6qJ4KIctg3ehgveuwC2FukF2vxsqsPhSCkbwp8AIpEIdgYC6JCT\nY0jtWDLYHTvAlpcjeMcdaVkO7archekV0zF/6HxZn+M4oKKCRklJesb1fN2rUDW11EApkyyptCDd\nojKjbVOnSzZ4yca7Dgh5vkpx5yAQNwgxmUwoFMLTTz8Nr9eLOXPmIC+DFvImKWEGq0YiPlgNhUKI\nRCKKPYhkpcqyrKgdFXlJAPUzSmRLxqjm/nIJ7gnC0SF1PbDcbKpU9gSDeGz/fnzSqZOo7YwRM0pk\nIRTZtw+5330HjBkje3yBSAAMx8TapaZCKATcc08OFiwIw536YQQRmpQTBUpSsocNiWTZslSIdx3I\nJOkAf9s/m7xkxTxfky2+yTuVYRjRhd2hQ4dw//3346677sLYsWMNeV1NFMcMVo0EmewJRFTuTnPG\n5Zv7OxyOetlQIXN/oep2ADGJgBLbPFpT/V01Kj+rxPkvp18lqkQ2lc/pSAQ2mkb+2ZczX6JAELKd\nMUpGiSorg691a7AtWqTlq/vC2hfQKq8VxvQeI+tzBw9S8HqB7t21fT0lCpRIYOtyuTIyW6Yk/CIZ\ntYswM6XCPZmpfTaRbJeCXI9gMAiKouByuQTff19//TVefPFFzJkzB/36pScPMskozAIro5NugRXp\nI01RFPLz8yXbUdE0jZycnDpt/HJycsCyLEKhUCw7Er/NY2Rye+emveWvVjb15SNHUOx2Y/jZKnmh\nc0lRFGw2m2jhg1DRlpytt1QgshD6+++RY7XC0qGD7O9jORY0VRtkTxk4BVZa/ito40YaPh/QvXti\nXarSkB7uZJeBL5Mhfx4IBBAOhw0VKGkJP3soViSjJBRF1esyxw9ew+FwLFDSY6HH3/bPNm9dMch7\niL+lz39/BYPBWLLEarUiEong8OHDaNu2LSwWC6LRKKZPn46tW7dixYoVaCzTTcQkOzEzqzoRn1mN\nRCLw+/0oKChI6ViBQCBm9yFm7k98QOWa+xs5y8dn/1P70ezeZnD1SL9IjWRClPKBPBoOo+XZl7dQ\nJlUucoq20objgM2b4evSJS0tJsuxuPzdy/HBiA/QMq+l5M9Fo8Dy5RbceGNUN5/UeMS0h0K7FJm2\n0EsVo8og9JIOmC1k6xK/+KdpOvb+uvzyy3HkyBH07dsXZ86cQf/+/fH3v/897Z1Gk4zElAEYjVAo\nFPv/JCsqN1iNRCKxqv7c3Nw6L0SprVLltgYVe/lLsWZSE+96L1wXumBxp57NUSObWskwuG77dpR3\n744clc6LUNUux3Fpb4dyHIfIqVNwjhoF3/vvw56fn9akfrTmqKzWskLpAAAgAElEQVRAFagNVh95\nJAd//WsYhYUpf7ViEEsqiqKSPjNiXYT0flaUJNM6c2khHTBq4K4XJHBP9MysWLEC8+fPh9vtxoED\nB/DLL7+ge/fuGDhwIEpKSnDTTTfpfm/NmjULCxYsAEVR6NmzJ9566y3NGvk0IMxg1WiEw+HY1n80\nGoXX60WhxNmYbLeFw2Hk5ubWq6LU0txfSGBPtufItqkaW9ShQyGcePME2kxro8jx+D6y6WZTwyyL\nAMui4OzLleU40BpPWGll+RgGbGUlAi5XWtnU307+hrd+eQszr5op63M7dlCoqqJw8cXpVfkrCV+L\nmaollVgxCr+QzqgFQkKkstg1IsmeFam7R5kWuGtBMr0uy7KYO3cuVq5ciUWLFqFly9rFbCAQwI8/\n/oiKigps2bIF7777rq7PxeHDhzFo0CBs27YNdrsdt99+O66//nqMGjVKtzFlKaZm1cjIaQpA7Khs\nNhsKCgpEs6kURQm+YPkFQ0qYUfO1fHa7vd4WNdH0Kb1FbWtmg6unK+1tdSKjUNJH9l/HjsFKUXj0\n7ItX60AVOKdFJvCzfHwtsqCcY9EiYMcO0FOnChZASKVDYQfc1OUm2Z/bv5/CyZMULr44pa9VHL4l\nVTpaTLFnhQRJoVBIkYy42mSbl2yyZ4VkxBNJB/jZQ7MJhDSbrurqakyYMAGdOnXCl19+WSe4dzqd\nKC0tRWlpqZbDTggJvC0WC/x+P4qKivQeUoPBzKzqCD+zynEcKisr0ahRI9GXPsuy8Pl8MT/W+Idf\nSjZV6aBMCvETcjrbbmeWnIGtlQ3uAcpomUg2VQkfWQ/DxDKpDMfBAuHiKaNQT87h94N2OGrvyWgU\nDpcLthSCkGU7lqFNfhv0Pa+v5M9Eo8CiRRbce28URrMm1XpLN/5ZMZrutSF6ySaTDpDAjHiFGvm5\n1wIpNl2//vorHn74YUyZMgXDhg3LiHM2e/ZsPP3003A6nRgyZAj+/e9/6z2kbMTMrBoNfjY10YMa\nb+6fl5eX0I4qUatUm80Wa3WoFfyKXZK9EKrY5U/GYsGrxW0B7Ug/Y8EP3JXYrouwLK7atg1fdeuG\nxlYrrBnw4o2vbrfddBOqnn8eXI8eoCwWBEMhBEMh2Rlxu0V+QEfTwP79NDyeKIxS/Kv0PSIVoRaY\n8RlxvXSv/M5L6WTcM4141wG+PVMoFIrVBUQikTqZ8YZyfvgk687FcRwWL16Mf//733jvvffQsWNH\nnUYqj8rKSnz66afYt28fCgoKcOutt2Lx4sW4++679R5ag8DMrOpIJBKJveSA2ochfls/Go3C5/PF\nrGCEzP0TFVDxsyBGNvcX61RDMzSq3q3CeePPU2xCViqbynEc/CyL3LMTWIhlYc/Arb+YOffJk3C2\nalXHmklK0RYArNyzEkM6DJF1Ln/5hcLx4xSuucY4ulQCXyqjlKG9UiTSvarVvz0bOi8pTXzTAwBJ\ni+nUtpfTE76mW+weCQQCePLJJ2G1WjF79mw4HKk3atGajz76CCtXrsT8+bVd9v79739jw4YNeO21\n13QeWdYh+IBk3syaxfAzrSSrU11djZycHOTn54sGqiSbGp9tDYfDqKmpiWlTjRqoAohlkpxOJ/Ly\n8pCfn1+75WqjEDwRhOe4BzU1NQgEAvWCfKkQTVkwGITL5ZIdhHAch2dfeSV2jT46cwbPHDwY+/NM\nCFQ5jsOsZ5+tlYrs3AnbLbfAW10NjuOQ16ZNnXuEZJNycnLgcrngdruRl5cHm80WWwRVV1fD4/Xg\n/237fzhZc1KWV3A4TKGmxlgTNwnc/X4/HA6HIbOHJCNut9uRm5sLt9sdW8iSAKq6uho+ny/WISgd\nD2e+/Ihc/4ZOOByGz+dDTk5O7D1CvJEdDkfsHUaKziKRCGpqauD1euHz+RAKhdK+LkaCzFek4Ffo\nHtmzZw+GDRuGyy67DHPnzs2oQBUAzj//fGzYsCEmb1i9ejW6d++u97AaDGZmVUf4WREA8Hg8yM3N\nBYCYuX98MYfcbGomasoCOwNgTjNwX3JOl5quXZYS2dQlK1Zg3Acf4I3bb8fwa69F5Ow1sGVAkEr4\naskSrHnwQVzx+usoHTwY7PbtyPnDH2QHICzH4oj3CIrcRZI9eFkW+Mc/rJgwgYER5yk5llRGR2yn\nQm51O2nJnA1FVEpAgjLSrUzOu1VKZ6dMlA6QBZLVahXd9l++fDlmzZqFefPmoWfPnjqNNH2ee+45\nfPDBB7Barejbty/mz59vLt6Ux7SuMhpCwSoxSna5XILm/MnM/dO11jECnm88CB8Jo9nIZqJ/R6pd\nFsmURaPRlGUQCxYvxpz33wfToQN23X032r77Llx792L8nXdiTIbold5fsAAfz5mDXgyDl3btwp86\ndMAWqxW3PPQQ7rrvPtnHW3twLd765S0sGLqgzn9PZsD+5ptO3HEHgyZNjHNfZstzkwgpiz3+wjed\noCxbid/2V+IekeLDa2TpAFnMkMKyeCKRCKZNm4YjR45g3rx5yM/P12GUJhmGGawaDX5VaSQSgdfr\nhdVqrWd7ItXcPxAIAEBa/dr1wvONB/mX5oOypq4fFarWJRpLh8ORsgUQx3FYsmIFpnz+OQ6NGoXW\n77yD6TfeiOFD5Gk09YTjOHz1ySdYP2UKXj58GE8VFaF4xgxcM3y45N/AsAwoULDQ54pMkn32hx8o\n7NoFjBgR1ExfKQd+1XImPjepkqgDGkVRiEQiinVvy3T4Nl1iQZmS36W1HjnVcSZbzBw9ehRjx47F\niBEj8NBDD2X0ToWJpphuAEaE6CgZhonp0OID1WR2VKTwIV1zf63gOA4zp87E5GmTY9nPM5+cgaOj\nA/bzU+sGwq/WJeeUZVnk5OTUFkKdbXvIz7xKfemT8+7x+9F14UIcDgZBwdi2VPGwLItQKISQx4OJ\nXbqAO3JEdsZm8teTcWnbS2O+qVI+m5cHFBZSsNvtgr6ixL5ND1/RhtxliP+88K8LMbQnAWv8tWlI\n5wioG5Sl468rlWQ+vMQ5RU/pAD/DHO9MA9Ses/Lycjz77LP4v//7PxQXF2s2NpPsxQxWdSQcDsPj\n8SAnJwcFBQXw+/11CqykmvvTNJ1RJtQrl67E1je24rMmn+GPj/4RFEWh/avt0z4uPwMiFIDwM68k\nmJVilwUAuw8cwNzbb8ewIUOwbOVK7OYVVhkZ/mLmxMGDuHLuXFw9fDhWL1uGw7t3yzrWc4OeQ4E9\ncTtgjgOeecaGJ56IoKAA6NqVQ9eu5zZoxGzMtJyM47NCRi481ApyTgDA7XaDpuk614VIaUSbSGQh\n5P1Kdrv0CNQTPS96WJmRBZ6YXCYajWLWrFn4/vvv8cUXX6BZM3Epl4mJHEwZgI5EIhGEw+HYZEm6\nnzgcDsmtUokOMxMyHosXLMb7c95HB6YD7t51N952v42DRQdx5/g7cfeY9LSfqVh0JStCyZTzKgZf\nGiJmzJ2IQCSAO5begXeHvQt3jvQmDB9+aMHgwVFI7BxcDyEdn1JBkpEtqfRCaoY5mR4501rFiiHF\ngslIaCEdkNJG9syZM3jwwQfRv39//OUvf2kwkhoTxTE1q0aDZVlEIpHYvxMDciIFEHq58PvXOxyO\njMpscByHFUtW4PMpn2PUoVF4p/U7uHH6jRgyPHXtZ7JsqtxjqRUkaYmSBUM/HfsJfVr0Sfj5jRtp\nbN5MY9w4JtUhJyRZkCSlCMX0Ca0PP8OcSvFhsq5ORtFXykFK5yWjI+SPLGcXKR5+G1kxl4wff/wR\nkyZNwosvvohrrrkmo665ieEwNatGhbxcKIpCNBqNeaOSF77FYjln3K5xNx0lIQGF3+PHwq4LETwc\nBKjUtZ9K9Wvnj89ms9XpHMTfnpZrl6UHZGIBkNI5+fn4z/jx6I8Y03sMAEhqmVpUxCEUUs/YP77T\nVnxxUDAYBCCeSSKyj0yTy6hJMt2hFBJ1dUpFaqM3yTovZQrJpDZE0iHlXZYs686yLBYuXIglS5bg\n448/Rps2bTT5jSYNj8yLeLIIUlxEtKlWqxVut7vOC5+8WIBa4/xMr1g+sPsAbp97O4YMG4KVy1bi\n4G752s/4bKpaxu1CQRLZbiPfL2SXpcckxz8n6WRTmzqbomVeyyTfBTz6qA1TpkTQsiXQujWH1q21\n24QRCpKEdK/kupHdioZWRCUEP+uudGU7uff5x8wE3WtDyLoLtfCNf5cB5xZ8FosFkUgk4bZ/TU0N\nJk6ciBYtWmDlypWquiSYmJgyAB0pLy/Hxo0bUVJSggsvvLDeC2H//v2w2+1wuVyxylCh7elM11bK\nwUgND8S2QbW2mUn3nKzauwp/aP4HtMhtIfkzq1fTKC5mcbaHheEg2lSi+9a7gtoIGGGL22i6VyOc\nEyPAX/BFIpF6kg6v1xvrLggA27dvx0MPPYTHH38ct9xyS4N7lkxUxZQBGI2uXbti3759WLhwIX77\n7Tc0adIEJSUlGDhwIDZs2IAZM2bgjTfewPXXXy/YHIBhmHrVoEbJViiNVtlUOSTL8IVCIQDqafiU\nOifbT29HU1fThMHq+vU0Vq+24JlnajXWV1+t3rZ/ughtXfIXeg3lmeFjFJsuqZIOLazMyLa/3ufE\nCJB3GZlb7HZ7rK0ywzD46KOP8Oyzz6Jz587o2LEjfv31V8yfPx+DBg3Se+gmDQQzs2oQOI7D0aNH\n8d5772HmzJnIzc1Fr1690KdPH5SWlqJPnz6i2yzptiI1Opls3B6feVVKw5duNnXrqa3o3lR6X+vT\np4EDByj06WPcV4KcgiElirYyASlV3EZD6JlRMivO3/bPlHOiNlIcEKqqqvDcc89h3759sFqt2Lhx\nIwoKClBSUoKSkhIMGTIE7dunb0GYLr///jvuuOOO2L/v2bMHL7zwAh555BEdR2UiA9MNwMiEw2HM\nmDEDs2fPxrRp0zBu3DicOXMGa9asQXl5OX766Se4XC4UFxejtLQU/fr1g0OkwbqUVqSZELzyX6DZ\nkv1Qwi6LZMlSLQSpDlXjtiW3YektS+GwCt9DADBmTA7+/OcIOnY0/msg3eIYo0g6lIRfWGaEnYhU\nSdSSVG5WXEple0ODNE1JJIU4cOAAHnjgAYwcORL33XdfTFrz+++/Y926dVi3bh2uuOIK3HvvvTr8\nAnFYlkVRURG+//57s/grczCDVSPz+OOP4/fff8frr7+Otm3b1vtzjuNQWVmJ7777DmVlZfjhhx9g\ntVoxYMAADBo0CBdffLGob2Si1opGzSLxq9ozLZsqBzl2WelYDXEcB1/Eh7ycPMmf+fFHGj17sjBy\n3YRaxTFK2/9oSXwRVSZ0tZNDssW4mO7VKFIII0EWNMQKUcjTe9WqVXjppZcwd+5c9O2b3B3ESHz1\n1Vd4/vnnsXbtWr2HYiIdM1g1Mn6/X5ZJOcdxqK6uxrp161BWVoaNGzeCoij069cPgwYNwoABA0Qt\naRJlkfQ291bSIzQTEduepmkaDMPAZrNJuk84jsPUv03FtCnTQFEUPtr2ESoOVWDWNbNEP7N+PY0P\nPrDgn/+MiP4dI8HPHGqRJeMHr2psTys1RqMUIGpFMr9XmqZjRUPmtn8tfL27mCsEwzB46aWXsGPH\nDixYsACNGjXSYaTpMXr0aPTr1w/jx4/Xeygm0jGD1WyG4zj4fD6sX78ea9aswfr168EwDC666CKU\nlpZi4MCByM/PTxi88idiQPstUH7HpWzOpsqBBB8Mw8BiscT8eJNpK5csX4IHX30Qcx+ei+HXDwfD\nMmA5FjkW8TSpzwccOULhgguM/dgbJXOo5Pa0EmSLT6gS8HeSSOMVoy0s9CK+3bDQe/bEiRN44IEH\ncPXVV2PSpEkZKZcIh8MoKirC1q1bzbavmYUZrDY0AoEANm7ciDVr1qCiogJ+vx+9e/dGaWkpSkpK\n0LhxY9EXdrxsgOM4VavaG3I2VQwSfFit1lg2NZm2ctH7izD33blgmjHY1WcXijYVwV3pxvh7x2PM\nvWPqfcfdd+dgypQILrwwMx51Ixfb6WXL1BB8QlOB38feZrPVkw5kUxGqVPjNIMR2aCoqKjBlyhTM\nnDkTl112mQ6jVIZly5bh9ddfx4oVK/Qeiok8zGC1oRMMBrFp0yaUl5dj7dq18Hg86NWrV6yas3nz\n5kmD1/iq9nTtZcxsan34FdzJgo/4rHgkEsHnKz/HtA+m4fAlh1G0sQjT/2c6RgwdEbs+HAeQS7Vz\nJ4WOHTlkwjwdDocVaaurFVoUbZHnxywYOge/25+YtltI9wpkdkFdMsjzI7YbwbIsXnvtNXzzzTd4\n5513cN555+k0UmW44447cN1112HUqFF6D8VEHqbPakPH4XBg0KBBMW+8SCSCH3/8EWVlZXj44Ydx\n+vRp9OjRAyUlJRg0aBBatmwZe6HRNC3amYbfMUhq8YmZTRWGmNmTNpjJgg+h1ooOpwMevwddvu+C\nwzWHEQwEY9mUH3+044037Fi0KAwAht/yB+pvW2aK5jBRO9JUnxuCUh3Lsg2pbWT5fq+k4Ur8O43s\nJhm9oC4Z/OBdrAWzx+PBhAkT0KVLFyxfvjxjnjExfD4fVq9ejTfffFPvoZgohJlZNYkRjUaxZcuW\nmF3WsWPH0KVLl1jw2rZt24SZV7Hik/gXvZlNrQ9/KzfdNpgz58xEp3adMOy6YVj25TLs2LMTjz0w\n8azpehTHj3No3ZrKCP1etuswUynakqI5bIiQzKFSwbsSNnN6w7fqErMv++9//4tHHnkETz/9NG64\n4QbD/yaTrMeUAZjIg2VZ/PrrrygrK0N5eTkOHDiATp06xTSvHTp0EM388TNI/Bc9gFiHlEzYytUC\ntavab7stB08+yaBfv9quU3LssvRCjhQim0hWtAUgLY/dbESr4J2vSRbTvRrJApCv2RUK3jmOw7vv\nvov33nsPb7/9tiEM/U1MYAarJulCTKDXrFmDsrIy7N27F+effz5KS0tRWlqKzp07iwY5ZMuS4zjQ\nNF0vQMqELIXSxGdTlaxqj0QAEt8dOwa0aHFOpyo0DiN1QNPaksrI8K9NJBKJuUEYwWbOCEgpGFIL\no+pepXToCgQCmDRpElwuF2bNmgW73a7pGE1MEmAGqybKwrIs9uzZEwted+zYgaKiophsoFu3bohG\no3jllVewbds2LFy4MBaQJcpSGCW7pyZqFsb88AONl16y4ZNPQil9XkoHNDUySEaxpDIa/K1c0rUu\nmzptpYIUn1A9xqR3IwkpHbp27dqFBx98EOPHj8ddd92V9feKScZhBqsm6sJxHPbv34+ysrJYl63K\nykq0bt0aTz31FK688kpR4b7RsntqoVZhWTAI2O212VOWBTweQCkPby2q2vkdy8RaPjZEkukw44u2\nMqnTVqpkkmZXTPeqhuSG6LvF3DI4jsOnn36Kf/3rX3jzzTfRo0cPRb7XxERhzGDVRBvC4TD+9re/\n4dVXX8VTTz2F8847D+Xl5fj1119RWFiIkpISlJaWonfv3qJaxPjsXjYEr2q2kL3tthxMnMhg4EBW\nsWOKIdZEIlUf3kyzpNKCdAKybCgMEoO4ZYi1BzU6ybx4U9m1kOKzGw6HMXXqVJw8eRJvvPEG3G63\nkj/LxERJzGDVRH3279+PYcOGoVWrVpg3bx5at24d+zOO43DixIlY5vXnn39Gbm4uBg4ciNLSUlx0\n0UWi2il+dk/LrWklUMtmqKYGyMur/f9eL6Dn/CPmw5sou8cPyMT8MBsifPsyJXSYRuu0lQr8HYls\nKrhLd9eC3yRDbEfiyJEjuP/++3HTTTdh/Pjxhr/WJg0eM1g1UZ9AIIDPPvsMt956q6T+9WfOnEF5\neTnKysrw448/wm6345JLLkFpaSn69+8vmj1J9JI3UuGJWh2Xtmyh8Oc/52D58tR0qWqTLLsHmFXt\n8WgVkCXTJBvl2SFICciyBTmyjmS2bhzHoaysDM899xz+9a9/YcCAATr9KhMTWZjBqomx4TgOHo8H\na9euxZo1a7Bp0yZYLBb0798fgwYNwoABA0S9AsW2pvUqPOFnU5Xa3q6uBlwuwGqt7UIVDAJOp0ID\nVhn+BByJRGKuEJmU3VMTPTW7WmiSUyXbfXalILTwI0Wq5N0Sf79Eo1HMnDkTP/30E9566y00bdpU\np9GbmMjGDFZNMguO41BTU4OKigqsWbMGGzZsAMuy6NevH0pLS1FcXAy32y0avMZnKEhHmlR0lXIg\nmSCWZRUtABk5MgdjxzK47DL1dalqwLekcjgc9banM12TnCrED9Moml0jFG1J0WE2RDiOg9/vRzQa\nhc1miy0yPvzwQ2zatAkDBw5Ez549MX36dBQXF2PKlCmGLkAzMRHADFZNMhvyot64cSPWrFmDiooK\nhEIh9O3bFyUlJSgpKUFhYWFCfZeQrpJMvkpMwOkGHhzHYerUf2LatImgKArHj9d6pNYe+5x3aiYh\nxZJKL7ssPeE3PjB6G1kti7Ya0ra/HMQ8ZTmOw65du7Bq1SqUlZVh7dq1oCgKV155ZcwDu3fv3oa6\nv6qqqnDffffht99+A0VRWLhwIS655BK9h2ViDMxg1ST7CAaD2LhxI8rKyrBu3TrU1NSgd+/eseC1\nadOmslrEppo9UqpYaMmSr/Dgg2swd+4V6NJlMCZNysEXXxhTlyqFVLe3jbw1rQR6mtkrgVpFW8ns\nlxoqxDFDzFOWZVnMnz8fn332GRYtWgSGYbB27drYP/v378ff/vY3PPTQQzqMvj6jRo3CZZddhtGj\nR4NhGPh8PhQUFOg9LBNjYAarJtlPJBLBpk2bUFZWhu+++w6VlZXo2bNnrFFBixYtZAWv/MyeWPBK\nsqnp6OoWLHgfc+Z8jFCoF/bufQmdOv0ZVusWjBt3M8aOvVP28fRGac2u0nZZepGtjQ/SLdqS0nWp\nIUKy7wzDiEqKvF4vHn30URQVFWH69OmCkonKykqEQiGcd955Wgw7IR6PB3369MGePXv0HoqJMTGD\nVZOGB8Mw2Lx5cyx4PXHiBLp164aBAwdi0KBBaN26dcIJlK/bi9/6tFgsdSaSdCZYjuOwZMlXePjh\njaiqmo7WrZ/C9OnFGD78mowLZliWRTAYVN20PRW7LD1RyxnCiIhlxoUWF1K6LjVEpGTft27digkT\nJmDy5Mm4+eabDXW/i/Hzzz/jgQceQPfu3bFlyxZcdNFFmD17Nlwul95Di7Ft2zZUVVXhkksuyYhz\nmmWYwaoR+PnnnzFu3DiEQiFYrVbMmTMH/fv313tYDYZoNIr//ve/WLNmDcrLy3H48GF07tw5lnlt\n165d0uA1Go3W6dNus9nq6CpThUgAioqAw4c5zJ17JYYPvybl4+mBntXbiXSVegevRiui0hqxoi2a\npsGybOx+MQPVWsj9kqhz2Ycffoj58+fj7bffxgUXXKDTSOXzww8/oLi4GBUVFejfvz8mTpyI/Px8\nPP/883oPDQDwxRdf4LbbbsONN96IJ598En369NF7SA0NM1g1AoMHD8akSZMwZMgQfPnll3j55Zfx\n7bff6j2sBgvLsti2bRvWrFmDsrIy7N+/H+3bt48VJnTq1KnOBOrz+VBRUYEBAwbEJlf+BJyObm/m\nzLfQqVNrDBt2NZYtW43duw9j0qT/UeFXKw+/WMgo1dtCukq1Wl0mGkOmFFFpCdF4RyIRWK3WmIwg\nWzptpYqU+yUYDOJPf/oTGIbBa6+9Bmem+Ned5dixYyguLsbevXsBAGvXrsX06dPx+eef6zyyWvbs\n2QO/3493330XbrcbI0eOxPnnn6/3sBoSgg+9+ebUGJqm4fF4ANRWRBYVFek8ooYNTdPo0aMHevTo\ngYceeggsy2Lnzp0oKyvDK6+8gt27d6NNmzYoKSlBkyZNMG3aNFx88cW46qqrYoEOmVD4rRTD4XAd\nOyYpwdHkyf8b+/+ZlFHlb1fm5eUZJjtGst4kcE50fdSwy+JbdRnpvOgNf9vf7XbHzgv/+oRCodi5\nayh2ZvzzIna/7Nu3D+PGjcOoUaMwevTojAzmzzvvPLRp0wY7duxA586dsXr1avTo0UPXMRHZisVi\nQbt27UDTNG6//Xb84x//wOrVq3HTTTehUaNGuo6xoWNmVjVm+/btGDJkSOzhWL9+Pdq0aaP3sExE\n4DgO27dvx+TJk1FWVobLL78cVqs1lnnt0aOHqPYwvugk27xEM71YSC27LH5xWSaeFzVJtr3NJ9M6\nbaVDMhcEjuOwcuVKzJgxA2+88QZ69+6t00iVYcuWLbjvvvsQDofRsWNHvPXWW7q5ARA5CgDs3r0b\n+/btw6WXXgqbzYalS5fik08+wW233YYhQ4YYYseoAWDKALTimmuuwbFjx+r997/+9a9YvXo1rrji\nCowYMQIfffQR5s2bh1WrVukwShMp/Pzzz7j33nvRvn17zJs3D82bN8fBgwdRVlaGsrIy/Pbbb2jS\npAlKSkpQWlqKXr16iW718otOMt1LVM+OS2qhhF2WWg0hMh1+VXuq1m5yirYyBSkuCAzD4MUXX8Se\nPXswf/58FBYW6jDS7ITjuNj9snjxYjz77LOYMWMGRowYEXt2X375Zezfvx+jRo3CxRdfrOdwGwpm\nsGoECgsLUVVVBaD2QSksLIzJAkyMRXV1NXr27IkXXngB99xzj2inrKNHj6K8vBxlZWXYsmULCgoK\nMHDgQJSUlKBv376Cvojks2LBkVEzR/ysoZTsWCYj1y7LbA0qjJqespnmCMFHSvOD48eP44EHHsC1\n116LiRMnZsWi0CgQjTQA7N27FzfffDM+/fRTtG7dGl6vF5WVlWjbti1CoRCeeOIJNGrUCCNHjsyo\nYrYMxQxWjUD37t3x+uuv47LLLsPXX3+NP/3pT9i0aZPewzIRgWzlSoXjOJw6dSrmNvDTTz/B5XKh\nuLgYpaWl6Nevn+jxxIIjoxjhm1lD4eCInAfSEEJscdIQIWb2Wi1stOy0lQ5Smh+sW7cOf/nLX/D3\nv/8dgwYN+v/t3Xlc1OXax/EP+yKKW6LhguaGSoqKsgzghrwEM9UAACAASURBVJVHzzmWW3bM57Gj\nmWK5d3LHvdwOmWtaYD6d1ErbzCV0BkQFRCQVxTUUBRVFBdmZ3/OHr5kzKiAaMANc73+sQfAaEOfL\nfV/3dRuhyqovOTmZ8ePHs3TpUlatWkVBQQHOzs5ER0djbW3N5MmT6dmzJ9evXycoKIi2bdvyz3/+\nk5o1axq79KpMwqopiIyM5IMPPtBvh61du1ZGY1RhiqKQnp5OREQEGo2GmJgYrKys6N69O76+vnTr\n1q3Y1aaixv0oimKUbc+yuPigKiooKNCvjulmhprKuCxjMrzRzZg/2Bge2np8Yocx+sYN+7yLm5qh\n1WpZvXo14eHhhIaG0qBBgwqrr6oz7E+Ni4sjKCiI3r17ExgYSFhYGN9//z3Dhg2jZs2a7Nmzh86d\nO9O3b1/MzMzo06cPTk5ObN68+ZkWMMQzk7AqhLEpisL9+/eJjIxEo9EQFRWFmZkZXbt2RaVS4enp\niYODQ4m3bBW17Wl4UUFZhiMZvVS8olYNnzYuy1RW9sqTKV8la8xDW4qikJWVVeK2/927dxk/fjwd\nOnRg7ty58v1WThISEggPD2fy5MmcPXuWpk2bPvL2nTt38tFHHxESEoKnpyeKorBlyxZGjhxppIqr\nFQmrQpgaRVF48OABR44cQa1Wc+TIEQoKCujSpQsqlQovLy8cHR2f6YrYsurZMwwdMrD9v55l1dBw\nZU/3a1WaCGHo8ekQlaEdoqIObem+lywtLYvdmYiPj2fixInMnTuX1157zaRCflWgyzpff/01t2/f\nZuTIkbz77rvUqVOHdevWAZCWlsa2bdvYvHkzmzdvxt3d/ZHVWFEhJKwKURlkZ2cTFRWFWq0mMjKS\nrKws3N3dUalU+Pj4ULdu3WcKr8+6LW14QrmyhI6K8mcPUZXXuCxjM5Vt/7JQ1oe2dCvwxX0vKYpC\naGgo27dvJyQkBBcXlzJ8NkIXNnWtOuvXr2fHjh2EhYVx+vRpFi5ciEqlYvz48SiKwoULF2jevDmW\nlpb6Wwor2/djJSdhVYjKKCcnh5iYGMLDwzl06BD37t2jY8eOeHt7o1KpaNCgwVOviC3tgZOqOJKq\nLBgG+LK8oassxmUZm65vt6RVw8rseQ9tlSbAP3jwgMmTJ+Po6MiKFSuwsbGpiKdU5RUWFjJ9+nQW\nLlyInZ0dGo2GGzduMGTIEACGDh1KYGAgKpWK/fv3s2jRImbOnEnfvn0f+RiV+YeuSkzCqig7w4YN\nIzExEXjYZ1W7dm3i4uKMXFX1kJ+fT2xsLBqNhoiICG7fvk379u3x8fHB19eXRo0aPTW8FtVTCTyy\nmlrVQsfzqsgA/6zjsoypNIeFqqLSHNrS9aeW1Ld77tw5xo0bx4QJExg2bJhJfE2rgsLCQkaMGEFY\nWBg3btwgKyuLTZs2sX//flq3bs3YsWPZuHEjr732Gr169eL27dvs3r2bLl260K5dO2OXLySsivIy\ndepUateuzaxZs4xdSrVUWFhIfHy8flxWSkoKbdu21YfXpk2blhhe8/Pzyc3NRavVAjzTFbFVnW4K\nQkkjhsqbKc4SLc2M0OqiqJvq4OH3kbW1tX7l1fBa2V27drFmzRo2bdokAakcHD16lAkTJrB8+XL8\n/f2Bh3Ozp06dStOmTVmzZg1+fn5s27YN+O/lAIaXBAijkbAqyp6iKDRr1oyDBw/y0ksvGbscwcMg\ncerUKTQaDeHh4Vy5coWWLVvqb9lq0aKF/oXz119/5fz584wePVo/jqW4A0HVKbwabuE+741L5aWk\nbemKCK9y+UHRdJMzdLdR6b5ON2/exN/fn27duuHl5cXZs2dRFIUNGzbg4OBg7LKrrNDQUIKDg9mz\nZ49+/Nf9+/dJT09n4sSJFBYWEhwcTPPmzY1cqXiMhFVR9sLDw5kyZYpcbGDCtFotiYmJqNVqNBoN\nly9fxtnZmby8PE6cOMG6devo3bt3ke9b1KpRVT3NrmPKo5eKUlHjssqrb7cq0LWKmJmZYW9v/8Tn\nOykpib179/LTTz9x9uxZMjIy8PT0xNfXVz9v2d7e3kjVF83FxYVatWphYWGBlZUV0dHRxi6pWMWd\n2J86dSrnz5/nhx9+AB7ulFhZWZGcnMyIESNYsWIFnTt3ruhyRckkrIpnExAQQGpq6hOPL168mAED\nBgDw3nvv0bp1ayZNmlTR5YnnFBMTw7Bhw3BycqJly5YkJibi7OysbxtwdXUt9mCB4YGgqnSaHSrn\n6KWilMe4LNn2L56uVaS4W7oUReHgwYPMnz+fzz77jG7dunH79m0iIyOJiIggIiKCxMREbty4YVJ/\n55o3b05sbCx169Y1dimlcufOHXJzc2nUqJH+sfv37zN8+HBefvllFi9eDPw32Pbv358hQ4bw9ttv\nG6tkUTQJq6JsFRQU0LhxY44fP86LL75o7HLEUxQUFPDxxx8THBzMp59+yrBhw4CHL6ZJSUloNBo0\nGg0JCQm88MILqFQqVCoVbm5uxW6Dl3SavbyHrJelqhzG/uy4rNJcDVodGa40F3dhRmFhIZ988gm/\n//47X3zxBfXq1SvyY+Xm5prcJIDmzZtz7NixYms2NsM+07t377Jw4UIGDx6Mp6fnIyutZ86c4a23\n3uKjjz5i8ODBFBQUkJSUxOTJk9m8eTP169c38jMRjynyHxjTacQSlc5vv/2Gq6urBNVK4saNG8TG\nxnL8+HEaN26sf9zMzAwXFxdcXFwYOXIkiqJw7do1NBoNoaGhnDx5kjp16uhHZbm7u+u3gHWhR7cS\n+/hp9pycHMC0RzGZwiGq8mRmZqYPpTY2Nk+sjhf3NQKeGsaqK8MJEQ4ODkX+cJOWlsbYsWNRqVTs\n3LmzxB+ATC2owsO/N7qrRt99911Gjx5t7JL0DA9CmZmZUadOHZKTk/npp5/w9PR85HPt6urKrFmz\nWLp0KQBOTk74+fnpWwNE5SArq+K5/e///i9eXl6MGTPG2KWIcqQoCjdv3tSvvJ44cYIaNWrow2uX\nLl2KfbFVFOWJWa+KopjEKCa5Svah4sZlKYqCubk5tra21eKa2NIqzUpzdHQ006ZNY+nSpcX2g5u6\nlJQUGjVqxK1btwgICGD16tX4+voatSbDkJqZmcn27dupU6cOAwcOJD4+nlWrVrFkyZJHWgF05syZ\nw/LlywkJCdHPWxUmSdoAhBB/nqIo3Llzh/DwcDQaDbGxsVhbW+sPjHh4eJR4Sry4UUy6lb2KGMVU\n2Q5RVaT8/Hz91aBmZmYUFhaaxLgsYyvNXFmtVsvGjRvZvXs3W7ZsqTK7TkFBQTg4ODBlyhSj1fD4\nkP7k5GR27drF5s2b+eCDD3BycuKnn35i4cKF1K1b94lDV3l5edy7d48XXnjBGOWL0pOwKoQoe4qi\ncO/ePQ4dOoRarSYmJgZzc3M8PDzw9fWle/fu1KhR45nDa3kEo8cPUVlZWVW70FWcklaay+Ia38pM\nN+S/pJ7mjIwMAgMDcXFxYfHixZV6WkJWVhaFhYXUrFmTBw8e0LdvX+bOnfvIDU8VqaCgQP/3cdmy\nZdjb2+Ph4UG3bt04cuQI3333HdnZ2axfv57g4GACAwONUqcoE9KzKoQoe2ZmZtSuXZv+/fvTv39/\nFEUhMzOTw4cPo1arWblyJVqtlq5du6JSqfD09KRWrVr6cKMbnq5jGIyys7PLLBgZHqKqUaOGXKVo\nwHD0UlE9mObm5pibm+sDmOG4rJycnHIbl2UKCgsLefDgQYlzZRMSEggMDGT69OkMHDiw0j/3Gzdu\nMHDgQOBhUHzrrbeMElSvXbuGs7MzlpaWZGVlMXLkSGxsbOjfvz8BAQEcOHAALy8vOnToQGJiIhcu\nXCA5OZn8/Pwq9XdQyMqqEKKc6ValoqKiUKvVHD58mJycHDp37oxKpcLHx4fatWs/9YrYZ72b3ZAM\nsi/e00YvlUZ5jMsyttJs+yuKwjfffENISAhffvklLVu2NEKlVdODBw9wcnIiJCSEQYMGERERwZEj\nR5g0aRKTJ09m9+7d1K9fn59//lm/ta/RaJg9ezYHDhyotj3oVYC0AQghTENOTg5RUVFoNBoiIyPJ\nzMykY8eO+lu26tev/9TwWpoh+HKIqni6z01BQUGZ39L1Z8dlGZvhDWb29vZFrsLn5OQwffp0zMzM\n+PTTT7GzszNCpVWT7nv622+/Zfz48Zw4cYJGjRqRkZHBpEmTqFevHh9//DFeXl688MILbN++HVtb\nW7Kzs+nevTs7duygTZs2xn4a4vlIG4AQxVm9ejVr167FwsKCv/zlL3z88cfGLqlKs7W1xd/fX39v\nd35+PjExMWg0Gt577z3S09Nxc3PTX1Tg5OT0yKgaKyurR7akdaEoNzeXrKwszM3NsbCw0Iek4sYL\nVVeGB8wcHBzKPDQ+77gsUwivpfncXL58mbFjx/LOO+8wcuRIk6i7KtBND7GwsEBRFAYNGkRkZCT9\n+vUjLi6OmjVrUlhYiJ+fHwBeXl4cPnyY9PR0nJyc2L9/P0OGDJGgWgXJyqqo9g4ePMjixYvZvXs3\nVlZW3Lp1S06MGllBQQFxcXFoNBoiIiK4ceMGrq6u+vDauHHjEg9s6eaDmpub608FP35RQXWVl5dH\nTk6OUQ+YFTcuy9gjzQw/N0XdJqUoCrt372bFihVs3LiRl19+uULrq8oMx1JdvnyZixcv4ufnh7W1\nNT179qRFixZs3ryZefPm8ccff3DhwgXc3NxYunQpjo6OT3wMUWlJG4AQRRkyZAhjx46lV69exi5F\nFKOwsJCTJ0+iVqsJDw/n2rVrtG7dWt824OLigrm5Oenp6UyaNInAwEDc3d31KzSGW9JVoZ/yeZRm\na9uYKnIqxOMMWyKK+9zk5+ezcOFCkpKS+Pzzz/UBSZQN3dZ/SEgIy5Ytw9/fn7S0NGbOnMlLL71E\nixYt2LBhAwMHDmT37t0kJCQwderUR95XVAkSVoUoiru7O3/729/Ys2cPtra2LF++nK5duxq7LFEC\nrVbLmTNnUKvVaDQakpKSqFWrFgkJCfTp04dly5bh4OBQ5Ps+viVd2fopn0dlnCtbUeOyDCch2Nvb\nF/kxU1NTGTNmDP379+f999+vFj/clDdFUbh//z7Tp09nw4YNAJw9e5aFCxeydetWdu3axcSJE/n6\n66/x9vZGrVbTq1cvEhMTadWqlf7jSFCtcqRnVVRfAQEBpKamPvH4okWLKCgoID09naNHjxITE8OQ\nIUO4dOmSEaoUpWVubk779u1p37497777LvPnz2f9+vX84x//4MaNGwwYMIAmTZro2wbatm2rDxiG\nV8Q+rZ/SsG2gMgS8xz0+V7aorW1TVRHjskozCSEiIoJZs2bx73//Gx8fnzJ5buLh96GjoyNhYWFM\nnjyZlStX4uDggJ2dHf/85z85d+4cu3btolOnTiQnJ9OjRw/Wr1//yEE2XX+rqPpkZVVUe6+99hr/\n+te/9Id9WrZsSVRUFPXq1TNyZeJpLl++zFtvvYWDgwOhoaH6axYVReHy5cv6ldfExEQaNmyobxvo\n0KFDsS9yxfVTmuJhoJKY+rb/n/VnxmWVZkqEVqslODiYyMhIQkNDpY+9DBneLnX06FF69+7Njh07\n6NevH0OGDCE3N5evv/6aGjVqEBERweeff05wcDB16tR54v1FlSNtAEIUZcOGDVy/fp2goCDOnTtH\nnz59uHLlirHLEqXwzTffcO3aNSZNmlTii5eiKFy9ehWNRoNGo+HUqVPUr19fH15ffvnlYm8c0p1Q\n1gVXUzkMVBLdhQqWlpbVZq5sacdl6eb+mpmZYWdnV+Tfm/T0dMaNG0enTp2YM2dOlQv6pmLKlClk\nZGRw7do1oqOjSUhIIDw8nP3792Nra0u7du1YvXo1EydO5J133jF2uaJiSFgVoij5+fmMGjWKEydO\nYG1tzYoVK+jRo4exyxLlSFEUUlJSCA8PR6PREB8fT61atfD29kalUtG5c+cSt8wf73nVHQbSreoZ\n6/rR0gyyry4M2zt0AVb3uG6kVlFfp7i4OCZNmsT8+fN55ZVXqkXQN4b4+HjGjh3Lr7/+ioODAx9+\n+CGHDh0iKiqKU6dO8e2333L//n3efvttOnXqBMhp/2pCwqoQQhRFURTS0tL00wbi4uKws7PD09MT\nlUqFh4cHtra2xb6/MU+yG9agu062uPvrqyvdtn9eXh7W1tb6lfKrV68SFBSEj48P3t7exMfHs3Pn\nTkJCQmjWrJmxy67S1Go1GzZs4D//+Q/5+flYWVnh6upKr169WLNmzSO/t7Cw0OR2L0S5kbAqhBCl\noSgKd+/e1a+8xsTEYGVlRffu3fH19aVbt24lnqqvqJPsOnKdbPFKCvF3797ll19+ISIigkOHDnH9\n+nV69OhBjx498PPzo2vXriZ7KK2wsJCuXbvSuHFjfvrpJ2OXU6zi+kszMzNp3749q1at4vXXXwdg\n2rRprFy5kpMnT+oPRcpqarUjYVUIIZ6HbszO4cOHUavVREVFAeDh4YFKpcLT07PEm6AMe151fZWG\nq67Pc5Jd93F1FyBU923/opQmxCcmJjJu3DgmTpxIjx49iIyMJDw8nIiICBITE/Hy8mLv3r0mt1K9\ncuVKYmNjycjI4McffzR2OU/Q9XobXsyho1vh3r9/P6NGjWLGjBn8/vvvKIrCtGnTeOmll4xYuTAy\nCatCCFEWFEXhwYMHHDlyBLVazZEjR8jPz6dLly6oVCq8vb1xdHR8ang1PAz0rGOYZNu/eKXp3VUU\nhe+//55169bxxRdf0LZt2yd+z7179zh58iQqlaoiyi615ORk/ud//oeZM2eycuVKk15ZPX78OHPn\nzuWVV16hTp06vPXWW48E2Z9//pnk5GRiY2NZtmwZtWvXRqvVVrlZx6LUJKwKIUR5yc7OJioqCrVa\nTWRkJFlZWbi7u6NSqfDx8aFu3bolhlfDtgFdj15xV8TqVgytra2xsbGRF3UDhiO7atSoUWSIz83N\nZdasWWRkZLB27dpiL5AwVYMHD2bGjBncv3+f5cuXm2xY3bdvH9OnT2fJkiXEx8fz1VdfsW/fPpyd\nnYvd3pch/9WeXAogRHUwb948Nm3apJ8LuWTJEl599VUjV1X12dnZ6fsdAXJycoiJiSE8PJzQ0FDu\n3r1Lx44d9eOyGjRooH+xNjMz0wdTeDS85uXl6WeI6q6PLSgooEaNGkXOB63OdDd1WVpaFtuWkZyc\nzJgxYxg+fDijR4+udEH/559/pkGDBri7u6NWq41dziMeD5rp6els2rSJBw8e8M0337Bw4UKcnZ0p\nKCjA0tLyicCq6+0W4nGysipEFRMUFETNmjWZPHmysUsRBvLz84mNjUWj0RAREUFaWhrt27fX37L1\n4osvPrVtIDs7W///pR2AX13k5eWRk5NT7E1diqIQFhbGwoULWbt2baW9UnnGjBl89dVXWFpakpOT\nw/3793njjTfYsmWL0WoyDJ03b96kVq1a2NrasmbNGmbMmIGXlxdr166lRYsWXLp0iQsXLtC3b1+j\n1StMmrQBCFEdBAUF4eDgwJQpU4xdiihBYWEh8fHx+nFZKSkptG3bVr/y2qxZM30A+PHHH0lKSmL0\n6NHY2NgAT856fXwAfnUJr6W5qauwsJClS5eSkJDA5s2bqVu3rhEqLXsajcbobQCGq6k7d+7kww8/\npEOHDowaNYpOnTrxwQcf4O7uzqxZs4iJiWHMmDFMnDiRkSNHGq1mYdKkDUCI6uKzzz5jy5YtdO3a\nlRUrVlC7dm1jlyQeY2FhQefOnencuTOTJ09Gq9Vy6tQpNBoNc+fOJSkpiebNm5OXl0dMTAybNm16\nZNar7kCWjY3NIwPwCwoKyMnJAXii57WybXk/jW7b38LCotht/1u3bvHuu+/Ss2dPvvvuuyoX4o35\nNTUMqtevX+fAgQPs3LmTQ4cO8dtvv5GVlUVQUBBDhw7l3LlzxMXF8dFHHzF8+HCj1SwqJ1lZFaIS\nCggIIDU19YnHFy1ahKenp75fdfbs2aSkpLB58+aKLlH8SefPn+f111/H0tKSdu3acf78eZo1a4ZK\npUKlUtGmTZtig5cuvBoe2gKeaBuozOE1Pz+f7OxsbGxssLa2LvK5HD16lA8//JBly5bJrXRlTBdU\nb9y4wRtvvEHLli25evUqYWFhPHjwgI0bN3L9+nXeeecdmjVrxu3bt1EUhSZNmgDFz18V1Z60AQhR\n3fzxxx8MGDCAkydPGrsU8Qy2b99OYGAgM2fO5P3338fMzAytVsulS5dQq9VoNBrOnTuHs7Ozvm2g\nXbt2xR5O0Y0K0gVXXXh9vG2gMoRX3W1U+fn52NvbF3nITKvVsn79evbt20doaCiNGjUyQqVV05Ej\nR/Dy8gIezqhdsGABHh4e9OjRA09PT7788kuGDRtGUlIS69atIy8vj+nTp9OwYUMAGUslnkbCqhDV\nQUpKiv7FedWqVcTExPD1118buSpRWvfv3+fVV1/l008/LfEQkKIoJCUlodFo0Gg0JCQk8MILL+hX\nXt3c3EqcFvB4z6uiKI9cVFARV8Q+K61WS1ZWFmZmZtjZ2RW5Mnf//n0CAwNp1aoVCxYskIkJZSQ7\nO5uAgADat2/P+vXrycvL48MPP+TAgQNs376dtm3bsnfvXoYOHcqxY8do2bIlkZGRmJub68OtEKUg\nYVWI6uDtt9/mxIkTmJmZ0bx5czZs2ICTk5OxyxLP4HmumFQUhWvXrunD68mTJ6ldu7Z+5dXd3b3E\nG6504VXXOqDVah9pGzB2eC3Ntv+pU6eYMGECM2bM4K9//avJhe3KKjo6mokTJ+Lv78+SJUtYvnw5\nvXr1ol69esydO5fOnTszcuRIHB0dmTNnDp999hl37tx55GPItamilCSsCiFEdaEoCjdv3tSH17i4\nOBwcHPD29sbHx4euXbvqJwsU5fGeV90MTMNDWxURPgyvlC1u219RFP7v//6PrVu3EhISQosWLcq9\nrupi/fr1zJo1C19fX7Zt24a1tTVz5szh7NmzfPnll4SHh/Pzzz/j5+fH0KFDgYeznmfOnPnEZRZC\nlIKEVSGEqK4UReHOnTuEh4ej0Wg4duwYNjY2eHp64uvri4eHB7a2tk+d9apbfdUdsCnP8FqaK2Wz\ns7OZPn06VlZW/Pvf/35kYoL4c95//31+//13xowZw9mzZ2nYsCGjRo0iMzOTBQsWYGVlxfLly9mw\nYQPHjx9n8ODB9OnTR//+spoqnoOEVSGEEA8pisK9e/c4dOgQarWa6OhoLCws8PDwwNfXl+7du1Oj\nRo2nhlfd6qtheNX9+meCSmmulL106RJjx45lzJgxjBgxQoJRGTt27Ji+b3rr1q1ERUXRq1cvBg4c\nyOnTp1mwYAGvvPIKw4cPZ+XKlQwbNozmzZsbuWpRyUlYFUIIUTRFUcjMzOTw4cOo1WqOHj2KVqul\na9eu+Pj44OXlRa1atUoMr4ZtA7rwahhgS7MlrCgKeXl55ObmYmdnV2SfraIo/PLLL6xatYqNGzfi\n5ub2p5+/KFleXh6fffYZ165dY8iQIXTv3p09e/Ywd+5cQkNDadOmjfywIMqChFUhhBCloygKWVlZ\nREVFoVarOXz4MDk5OXTu3BmVSoW3tzd16tQpVXjV/aq7Ira48Kr7M0va9s/PzycoKIiUlBQ2bNhA\nrVq1yuX5i//SzURNTk5m/fr1WFtbM3LkSJo2bUp0dDTdu3c3domi6pCwKoSo3FasWMG0adNIS0ur\nMldmViY5OTlERUWh0WiIjIwkIyODTp066ScO1K9f/6nh1XD1VRdedf2uOTk5WFpaFts7m5qayujR\no/n73//O+PHj5fBOBdL1n8bExLBhwwbc3d1577339F8DGfIvyoiEVSFE5XX16lVGjx5NYmIisbGx\nElZNQH5+PjExMWg0GiIiIkhPT8fNzQ1vb2/8/PxwcnIqMbxqtVry8/PJz8/XD4vXrbxmZGRQr149\n/e+NiIhgzpw5BAcHy9xOIztw4ADu7u7UqVPH2KWIqkfCqhCi8ho8eDCzZ8/mb3/7m4RVE1VQUEBc\nXJw+vN64cQNXV1d8fHzw9fWlcePGj4TXzMxMIiMj8fb2xs7ODjMzM33bQJ8+fUhLS8Pb2xtra2uu\nXbvGtm3baNCggRGfYclycnLw9/cnNzeXgoICBg0axLx584xdVpl5fPVUVlNFOZCwKoSonH744QfU\najWrVq2iefPmElYricLCQk6ePIlarSY8PJzk5GRat26NSqWicePGTJ06lW7durFu3bonVmC1Wi2x\nsbF8+umnXLlyhdTUVLRaLX5+fvj7++Pn54erq6vJHerJysrC3t6egoICVCoVwcHB0tMpROkV+Q0t\n99AJIUxCQEAAqampTzy+aNEilixZwr59+/SPPeWHbGEiLCws6NSpE506dWLixIlotVrOnDnD8uXL\nmTRpEj179iQ3N5cvvvgClUpFq1at9Ct1cXFxTJs2jYULFxIQEADA5cuX0Wg0hIeH88knn7BkyRL9\nIHpTYW9vDzw8PZ+fny8rj0KUAVlZFUKYtFOnTtG7d299CEhOTsbZ2Zno6GiT3hIWT8rNzWXy5Mns\n3buXHTt20LFjR86fP6+/ZevChQs0adIEc3Nz0tLSCA0NpUmTJsV+PFPchtZqtXTu3JmLFy8SGBjI\nkiVLjF2SEJWJtAEIYQxZWVl89913uLi44O3tjYWFhbFLqtSkDaDy6tevH7a2tnz55Zc4Ojo+8XZF\nUbh8+TKff/45QUFBWFtbG6HKsnHv3j0GDhzI6tWrad++vbHLEaKykLAqREWLjo4mNjYWNzc30tLS\naN26Ne3atQPgwoUL/P777/Tu3bvIF25RtBYtWnDs2DEJq5XQ5cuXcXFxMbk+0/KyYMEC7O3tmTJl\nirFLEaKyKPIfB9PaPxGiigkNDaV+/fqoVCquX7/OxYsX9W8LCQlh0KBBrFq1Cnh4GEWr1Rqr1Erj\n0qVLElQrqebNm1fpoJqWlsbdu3cByM7OZv/+/bi6eF29pAAAB3BJREFUuhq5KiEqPzlgJUQ52bFj\nBw8ePODOnTvMmzePjIwM+vXrp3/7mTNn2LdvH3369AF4pD0gLi6OM2fO0Lt3b5ycnCq8diHEs0tJ\nSWHkyJH6HzyHDh36yPe8EOL5SFgVohzcuXOHiIgIxo0bR9u2bXnzzTcZNWoULi4uANy+fZsLFy7Q\nsmVL/ftcunSJ5ORk/Pz8uHDhAhqNBnd3d5ycnFAURX8C3tQOlAghHnJzc+P48ePGLkOIKkfCqhDl\nID4+nlq1auHh4YFGo0Gr1fLGG2/o356QkICNjY0+vJ47d47AwED9uJsOHTrQrFkzmjZtCoCZmVmV\n3j4VQgghiiNLNEKUgxo1auDm5kZERATHjx9n3LhxwMMbfgAOHz6sPyF85coVvvrqK9q0aYNarSY4\nOJiwsDAaNWpEjRo1KCgo4JdffmHKlCn8+OOPZGdnA4/OGjW8d10IIYSoSiSsClEOOnbsiLm5OTEx\nMQwePJj+/fsDYGn5cDMjOjoaf39/4OEJ6dzcXN58803g4cEMNzc3WrduDcCWLVs4cOAAPXv2ZPv2\n7SxdulT/55w7d45bt25hZmaGhYUFFhYWFBQU0KNHD/r06UN6enpFPm3xDGbPnk3Hjh1xd3fnlVde\nISUlxdglCSGESZKwKkQ5sLGxYfDgwUyZMoUmTZo8soV/9+5dLl26hK+vLwAuLi4cO3aMhg0bAnDx\n4kVcXFxo1qwZJ06cYOvWrezduxcAb29vbt26RVJSEtu2beO9997D39+foUOH8p///IfLly9jaWnJ\nggUL9K0IwjRNnz6d+Ph44uLi6N+/P/Pnzzd2SUIIYZIkrApRToqbYXzmzBkcHBx46aWXAHB2dqZe\nvXr8+uuvXL16lTVr1mBnZ4eTkxMpKSm0b9+eefPmERkZyY4dO8jLy+PAgQPs3buXCRMmkJCQgKOj\nI2vWrOHq1av6P6NHjx5yAYEJq1mzpv6/MzMz5eCcEEIUQw5YCVFOijsQFRMTw8mTJ7l69SrOzs5Y\nWloybdo0PvnkE3799VcaNWpEgwYNsLKywsXFhf3797N69WoGDRqk/xirV6+mTZs2+Pj4APDiiy9i\naWlJq1atANizZ4++zUCYrpkzZ/LVV1/h6OiIWq02djlCCGGS5AYrISpYUlIS69atw8/Pj379+j1x\nv/m9e/fIyMigcePGZGdnM2/ePC5evIivry/dunXDxcWFsLAw9u/fT2hoKIWFhcyfPx8HBwcmTZqE\npaUlbdu25ZtvvqFTp05GfKYiICCA1NTUJx5fvHgxAwYM0P//0qVLycnJYd68eRVYnRBCmBy5blUI\nU6U7xW+4ba8oCmZmZty7d48ff/yRgwcPUqdOHebPn8/x48eZM2cO27Zt4/Tp00yYMIHZs2czdOhQ\nLl68yGuvvcbp06exsrIy1lMSz+DKlSv85S9/4eTJk8YuRQghjKnIsCptAEJUMK1Wi6IojwTTonpL\ndW0Ejo6OjBgxghEjRujf1q1bN15//XXefPNNLC0t6dKli35ma1hYGG3btpWgauLOnz+vb9v44Ycf\n5FpOIYQohnT0C1HBzM3Nn+ngk+EMVd1OSGhoKO3atSMsLAx7e3vc3Nxo0aIF8DCs+vn5lUvtoux8\n9NFHuLm50bFjR3777TeCg4ONXZIQQpgkaQMQopJRFIVvv/2W77//ntOnT/Pqq6/yr3/9i7p165Ke\nno6/vz+bN2/Gw8PD2KUKIYQQz0J6VoWoinJzc7GxsSE5OZlevXpRUFDAmTNnsLGxMXZpQpiMq1ev\n8vbbb3Pz5k3MzMwYM2YM77//vrHLEkI8SsKqEFXF4weyDCcK3L17l9q1axutNiFMUWpqKqmpqXTq\n1InMzEy6dOnCrl27pFdYCNNSZFiVnlUhKiHd1ao65ubm+oNbElSFeFLDhg31o9wcHBxwdXXl+vXr\nRq5KCFEaMg1AiCpCbkASonT++OMP4uLi6N69u7FLEUKUgry6CSGEqDYyMzMZNGgQwcHBODg4GLsc\nIUQpSFgVQghRpqZNm4arqysdO3bk9ddf5969e8YuCYD8/HzeeOMN/vGPf/D3v//d2OUIIUpJwqoQ\nQogy1bdvX06fPk18fDytW7dmyZIlxi4JRVF45513aNeuHRMnTjR2OUKIZyBhVQghRJkKCAjQ91B3\n796d5ORkI1cEkZGRbN26lYMHD+Lu7o67uzt79uwxdllCiFKQA1ZCCCHKzRdffMGbb75p7DJQqVRo\ntVpjlyGEeA4SVoUQQjyzgIAAUlNTn3h88eLFDBgwAIBFixZhbW3N8OHDK7o8IUQVIpcCCCGEKHMh\nISF8/vnnhIWFYWtra+xyhBCVQ5GXAsjKqhBCiDK1Z88eli1bhkajkaAqhPjTZGVVCCFEmWrVqhV5\neXnUrVsXAC8vL9auXWvkqoQQlUCRK6sSVoUQQgghhCkoMqzK6CohhBBCCGGyntazWmTCFUIIIYQQ\noiLIyqoQQgghhDBZElaFEEIIIYTJkrAqhBBCCCFMloRVIYQQQghhsiSsCiGEEEIIkyVhVQghhBBC\nmKz/By889lbufTvbAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1fd0408990>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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xEhcHjz2mv58h+Jbx814ydt4pPj6eqVOnuvSansoBdxlXPyFCCFEbkpJgzhyY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\nTNaYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1fb06238d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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4lMMlypOzk/F0MmTkZaBwx3n2vLOup3mxYlKvRj2v5zeq1cjreKt6rbx+nvm6\nTLo37u56vlKKeg16svJMHh9s28b2zEwG1mqBpUkwC9p0o0WNGhw83RCFcl0ojuowijlb55x1zudL\nlbSvSPUVQRAE4WJJS9N2E7OOcUyMFty//67jxESd9R44UDsHFi7UZePMghajRp1fJY7KTm5hLnaH\nndrVdWo/OTsZh3LQpLYuP3I47TCFjkI6NuwI6ExqoaOQbo27sfrwaj7a+hFrjqwhKDAIS5iF1vVa\n061xN67vogtRR8VEkVuYyy3dbwF05jK3MJcp4VMA+Pj3j8ktzOWhgQ8B8PZvb5NTmMNTQ3UNwlfW\nvEJWfhb/HvlvQIvgfHu+FrXA7C2zybfn87crdQ3DeTvnUWAv4M99dY3Dn/b9RIG9gAk9dA3EZfHL\ncCiHS4SvT1iPQzkY2mYoUDwzHJ8aj0K5RH5SZhKA6yIgMz8TwHWRoJRi3JfjWBK/hP7N+7N88nJC\ngj1ud5i2FKsV1qyB/v3dby6xpVw0BQ4Ha5y2lCinLcXSqBGRoaGMCAmh5jmukm02G/fNuo/4H+PF\nU14a4in3b8TX6r/I2vk3l+P6ZWfDd9/BlCk6PnFC1yreu1fHaWm6YolZncRu19VP8vN1uT+ziU+7\ndm6t5Fkt5VKTlJnEI9GPsH/rflr0asFfB/yVwIBAl4iMjo0mqyDLJXLn75lPRl6GS4R+tv0zMvMz\nXSL3vU3vcSbvjEvEzlg3g9O5p3ll5CsAvLnhTTLzM12Z3Dlb55CVn8Wjg3QNwy93fkl2QTZTr5hK\ncnYyL69+md+O/sa+5H10a9yNrqFd6deiHw8NeAjDMFifsJ4CewHD2ulC4TuSdlDoKHRlVuNT47Er\nuytTezzjOApFi7otAA87R426ANgddgKMAL+yvHz+7XzumfN3Pn3gbSbf8ifYutVdLeXIEV0lxWLR\nX/3Rn1TJSCkoINopwpeePk3nmjWxhIYSGRpKeJ065/3e+fzb+UyZOEFEeWmIKPdvLkdhUFWQtfNv\nquL62e3wxRfuZi85OdoucuCAtqDk5+uOirNm6eMOhxbiZp1uT2Jj3Vpp61ZdLcUU4i1bls/r2Zq4\nlUNph1x2ia92fcXzK58n/vd4aA/D2w3nuWueY0R7XSh8R9IO8ux5Lg9vXGocBfYCl/0gMSMRh3LQ\nqp7uQpSemw5A/eD6ABQ6CjEwCAw4t6/G05ZijbHyx8k/XLaUcZ3HSbWUIsyePY+33/6GwNxu1DtY\nn4fr/sA0SUZUAAAgAElEQVTw7L0EhTakweRJ+s01eLCrWkpGhrt5j+ejfv2StXpKirvEpOejcWN3\nXXVPjh/Xd36Kjm/Z0t2kypPDh90dR5XSnx2z+2jHjsXHx8bC/v3Fz9+li7vZkSe7d+v9FkXH9+rl\nvc/CZNs2/bksOp8rrlDU65Ht2qS5PTOT4SEh9EgPpca2UOoW1PA6/+DBegN2UVav1iU/zXFbtszj\nt9++oUaNPhw79ops9BSqJlVNFFxOyNr5N/66fl9+qS0lgYHuP/I7duja1gEB8Ntv2vNdrZr+3vr1\n7udWr+4W5KDHm4K8sFB3UDSFeEaGFuCPPaab+FwKW4rdYSclJ8VlB1l5cCU/7/+Zt8a8BUC1gGpe\nvto7et3BvJ3ziG8fT/8W/Vlw2wIv+0OfZt7qxbRVmJgZZxNTjJtUCzi7RMi357Pq0CqXP9yu7FjC\nLDx/zfNEtIugRrXKXXvRFG8luRQSEiA+Xt8Z8Xz07KldJEVZuBDmzy8+/q673M2RXBw9SktrBjP2\nnuQalrOZIURlNOTfwe8x8ZF7eOaZ4vruo490KUzD8H78/e/6PVmUr7/W7+2i4x98UO97KGn+s2cX\nH3/ffbrsZlF+/RU+/VSPMTt3GoZ+vSWJ8s2b9We16Plvu61kUb53L/z4Y/HxNWuWLMoTEmDDBud+\nj0AHSU3TOdIyhVOZyVTbqYgMDeWpNm0Y7rSlLFkCS+Ihrcj5MzOLnxv0/wd5ee5xfftOIjg4lNWr\nV5f8hAtEMuWCIAhCpWXhQm9v9uDButKIme178EHdcr5ePR0fOaIzexdiITl92t3Ex9OWYrFA376+\nt6WcyjrFuoR13Nj1RkBXn5i1aRbfT/gegLTcNNJy02gX0q70OeecZtArw9jwzCoa1Lz0zWBOZZ1i\ncexiomKjWB6/nG6Nu7ma+FxMtZTsbH2XoqiobdbMXbfdk99+0+W4i46/7jqYMKH4+A8/1Jtti45/\n5hl4+eXi4z/7TIvO4GAtBIOD9eOGG+BPfyo+fts22LnTe2xwsH4PtWnlKGZLUWPG8luT1tz6cRr1\n2tQkIcHBp5+O5eabr7ug39/ljmlLsaaksMzDlmIJDaXPBdhSysL8+Uu4556lZGS8JfaV0hBR7t9U\nxVvolwuydv5NRa3fL7/ozGN9Z5L2+uu1j7uTM6n7yCPw1FPQvLmODxzQbd991QMlJsa9l27rVhg2\nTIvw8eN9Y0txKAcBhlbzxzOO8+KqF/kg8gMAjp45ypytc3hx+IsXfP7585cwefLHzJ079YIEnVI6\nC2iK1OrV3Wuhj2tbyqfrtS0lIfcPulYfRdeASDo4xhHRvymjRhU/7w8/6C6VRUXwn/+s17Mos2bp\ni6uiInjyZHjggeLjbTYtyouO79tX+/qLkpysa8N7jq9R48Iq3pSJrCzvJj4hIe4mPk5byquvfkRY\nWBsaNqxOamo+sbEJPPXUfZdoQlULpRT7srNdmzS3Z2YyIiSEyNBQxoeG0rwcOmSZ63fLLWNElJeG\niHL/RoSd/yJr599cqvXbsEEXimjkrFY2ZYoW2n376viJJ7ToMkV4bKwW3Zfqb2ppthSL5eJtKXaH\nnbVH1ro2LqblptH9ve4ce+wYhmGQV5jHigMrGB82/qJfx+zZ85g16xsKCvoQGzuKVq1WkJ29g27d\nJtK+/Z0uERwZWbKofe89ePJJ7bM3bQHBwdra8PRzxW0pPYMsZGyx0NoeQe3gGq7xEREwdmzx88fH\n67U0xbI5vlEjd4fRKkdCgne1lAED3LdaOnUq9Wnyf2fZKHA4WJ2errtpJieTp7QtxRIa6rKlVASG\nYYgoLw0R5YIgCOXHjh26/nYzXfWNxx7Tt/ev1v0/ePZZbScI11XjiInRGWizYU55YNpSzGop7dv7\nxpailOLpX57mpeEvERQYhEM5GPflOKy3WwkKDAJ0rWyz+cv5kJ2tRW18vL47cOCA/vfgwTBtmv7Z\n8+cv4fHHV5OQ8CrNmj3NmDHDuOqq66hZ03AJ4U6dSvbs5ubqC5TgYH3XwbSlWGOsrDiwwmVLsYRZ\n6Nmkp19VNCk3HA7YssUtxI8c0VcoFov20Ui1lIumImwp54NSioCAANnoKQiCIFx69u+HOnXcVo6X\nXtJ2EzM7unChzpaaovyBB9z/Bvj3v73PFxZ2yacMaPFvZsN//91tS5kx4/xsKYkZiTSq1ci1wXLE\n5yOY+6e5tKzXEsMwaFu/Lfn2fIICgwgwAlhy5xKv55cmyB0O3XwoO7vkJOqyZfDcc9pP3bGjFtaR\nkdCjhz5uGAaGYZCWlkv37o+RkOAgMtLg5pvLpg1q1FDEndlN1PYoV7WUUR1GYQmz8P74912bTYUi\nlGRLsVi0/2bQoPP2VSmlePrFp3n1+VcrXGBWBjxtKdaUFHY4bSmWRo14u1MnmpWDLeV8+MH6g0/P\nJ5lyoVIht/H8F1k7/+TMGd1xctcuGy1aRBARoUXgzbrqHjNmuAUh6NbwoaG6tFploqDAbUuJitJV\nFExbyogRZbelLNi7gKtaXeWqTDJm3hjeuO4NujfWrTfjUuNoW7+tKxNeVg4c0LrNzHwfPAh16+q7\nCO++e16ncnG+nuS8wjxWHV5FVIwW4kop1yZNf6iWUmEUtaUMHOiuh3kWW0pZmL9wPpP/NZm5L8/l\nZsvNPppw5UcphUM5MAyDQoVu4pOcjDUlhXylGNcghJH1azGkbi2qG3pvhtmd1axL70lKdgopOSmu\nceajSe0mruZNniSkJ3Ak/Uix8e0btC/W+RNgX/I+9iXvc41btmAZi39aTLXm1TgcdVgy5Wdj+vTp\n0tFTEAShBMwqFy2c1fDeew82btRWiR079Ma/O+5wj3/iCe/nd+1afnM9F0VtKR06aK301Vd6s19J\niUelFHZld5X7e2nVS4xoP8LVSj0hPYEejXuA8+9+0cy3Z1lBpXQ9aFNox8frn/nss8V/bvXq0Lq1\nvqvQoYN+1Klzca//6ad1rT2bzVbqJs+itpTujbsTGRbJwokLxZZSGqYtxbzVcvSovjV09936zVWC\nLSUlO4WkzCRyC3O9Hh0adHDVhffksRmP8cWXX2BvYienbw73zrqX+567j4m3TeSDZz4oNn7B3gV8\nv+f7YiJyQvcJ3NHrjmLj5+6Yy+c7Pi82fkr4FO7rV/zCbfaW2by/5f1i4/864K88fOXDxca/seEN\nZqyf4RpniuwnBj/haj7lyUurXuKFVS/osSioVg8j9Cq6db2XxGotCKtZk8jQUH7o0YM+derw+rrX\neeDn1wkwArwejw96nH8M/kex83+16yve2fROsfH/1///eHDAg8XGL4tfxifbPyk2fnLvySWK8m3H\nt/Ht7m9d44wwg/ph9Tm48WCxsReDZMoFQRCqMHl5ujFIu3Y6njdPWzte9Cj4MW4cREdrW8ry5ZXb\nCluaLaW0ain7kvdRPbC66w/t/db7GdpmKJP7TAZgS+IWWtdrXWpzG4ejZM/5kSO6kUlAgL6zYArt\n3r29L2ouNUXtD0opdp/ajXW/rpay+9Ruly1lXOdxVcaWUugoJLsgu5gIDq0ZSst6xd8IWxO3sj5h\nfbHxw9sPJzIsUttSli/XGfFFi0irGcDCznZW9KjJxtYBZKk8cgtzeeTKR1wdTT15b9N7vL/lfYKr\nBbseNQJrMKnXJCb1nlRs/OpDq5n9zWwW/7KYtKFpNFjbgAnjJnDfrfcxoOWAYuN3ndjFHyf/KCYi\nuzbqWqLoj0+N52DawWLj29RvQ5v6bYqNT8pM4kTmiWLjQ2uF0qhWo2Ljz+SdISs/y9VB1Rxfs1pN\nagbVLL5e9kL2ZGcTnXqaqJQUdmRluWwp4xs2rHS2lLIw/8dvyfzLnfz5RKFs9CwNEeWCIFzOFBRo\na4Tp3V6zRtdc/t//Sn9OWppuEDJnTuUT5J62FKtVa6ez2VKiY6OxK7sWWugMYJPaTfhTN11cOt+e\n79WAx/PnLFzoznibX7OytPe7KHa7tv40uPSlwc/K/IXzuWfmPTxy5yOktUwjKjbKZUuxdLEwrO0w\nn9tSHMrhErVBAUEl2gniU+PZdXJXMRHct1lfV3UaT37a9xOf7/i82Pi7et/FY4OKd8eZsW4GL61+\nyUsEB1cLZmq/qfztyr8VGx8dG83i2MVuwVytBo1Tchm1J5eO6/YUs6UcbRJMUmaSl8AOrhZM3Rp1\nCa4WXLZflNn+0byqS0vTV3nODlWLP3qfrGceoa0jiDSVT+Bz/2bk+Bt1ByzQHXQcDvdGArPFZe/e\nOt6+XcdmKaMtW3Q8wCnqN27U8VVX6Xj9en2+oUN1vHq1Pj7MuR4rV+rjI0fqePlyfXz0aB0vWaKP\njxun46gofdxi0fHPP+vjzkLu+QsWsCYwEGv37lhTUijIyiIyLw/LlVcyPCSE4O++0+MnOS9a5s7V\n55usL5j57DN9/J57dPzxx/q42Y1p9mwd/9//6fi993RsdkeaNUvHjzyi4zff1Od7/HEdz5ihj//z\nnzp+7TV9/JlndPzyy/r4v5wXYS+8oOPp0/Wvb9y1XLFlB3VOnRL7ilA1EV+y/yJrVzHY7drnbf7d\nTkyEhx/Wfz9BV0ExK6GURkgIPPigjZCQiEs617Jy+rTO3FutsHSp25byzTfQuUcm6Xlprtbwc3fM\nJSYlhpdGvARAaK1QPBMzD/R/AIdDOxB0FZPq3H13cWtLQIC+i9C+vc6A33CDzoC3bVvyHAMDK1aQ\nz/xgJm98/AbpDdLJap/FjK9mUCu1FtfffD2TJk0iz55HRl4Ge07toW/zvsWebztk44c9P2jxa9cC\nOK8wD0uYhalXFG1BCe9uepdnfnmG3MJcChwFLrH69yv/zrSIacXGb0/aztydc4uJ5qJdRU26NurK\n5N6Ti41vXrd5ieOfGPIETwx5osRjLgoLtciqXp2xnccyNqS/Fq5r1oN1vu4Vf801uk7n11/rq7DC\nQujUiVZAq9/joOA0XHutPt9PP+mrN7M70eefQ36+WyS+/baOTc/Xyy/r8eZtqc8/1/N59FEAHCt/\nZUz1xmxNPM5o4Nis96BJS7co37XLW5THxHiL8sOH9XFTlCcl6eMmqanecVaWHu/5+/E8HhDgfVuo\nVi3v40Wv2Js18z7epg0pdjuLk5KwpqSwPDSUsIAALEFBLOjZk96HD2OAuyZm0YLygwd7n6/o35Mx\nY7yPX3+99/GiXaMmTfL+oJvi3uQvf/E+/ve/ex9/8knv488/73X4msXL3bcZfUSpmXLDMBqW4fkO\npVSaz2ZzDgzD6Ao8AjQCflFKfVjCGMmU+zEi7PwXWbvyQSnt/e7TR/+9yM3Vf7vWrr24hjoVvX77\n97s3af7+u35NFgv0uDqek+xydb1csHcBm45t4rVRrwG6o6VhGF7t5U1uvVXrmkOHtJ4wbSYffnhx\n9cgrAqUU646sY+H+haxNWMvuk7vpmtaVuG1xpLZIpWFiQ+p3qU/z8OYEB7lF7Q1dbnBZdTwx7Rxm\n1tgc37lh5xLtEDkFOS4xHhQQVDYvel6evmo0f9knT2ohaG5oiIvTIrZ7d+ektuo39BDt7+fXX3Uh\n9fHOuu4//qg3RZiZ1c8+0zt6zczo22/rwvPPPafj11/X2ekrr9Rvru+/13Uip0zRb65Dh7Ro/vOf\n9fhFi3R8o36vsXatnq/5udi1S78es77nkSNa5JresPR0/dXsvqRUyRsbPBk3Dlt0NBH+4B0rAaUU\ne81qKcnJ7MrKYkSDBlhCQxnnp7aU8yItDaNBg0tvXzEMIw9IPMfzqymlWvtiIueDYRgBwOdKqbtK\nOCaiXBCEKsWePfrvvqltRo/WWd0mfmwP9rSl/Lw4h5wzNbFYoOfIXewJ/pj3LW8DsOfUHtYdWcfU\nK6Zy6pS3tcT8+uWXehNlUX75RddQb9++fOui+4LUnFSWxS/Dut/K+qPrSUhPwKEc9G3Wl1dHvcqw\ntsOwLrZyz8x7aF2/NQnpCXz6j0+9K3hkZ2tRWa+ejpOStFA20//792sR3KePjjdv1tlUU4SuWKFF\nrtlXfsECLXLNjONnn+mdrqYdYNYsLbzNvvVvvaVve7zwgo4//VQ/35kp5ocftKi++24dL1+u53zD\nDTreuFHP95prdLxvn37j9Oql48RELYpb6bsmZGZqEZyS4q6WsnatFuVmtZSOHS9mWXxPZfaOlUK+\nw8HqtDRXN80CpbCEhhLpbOITXEFNfCqKcmkeZBjGdqVU+Dkmcs4xpTzvE2A8cFIp1cvj+2OAt4BA\n4GOl1OslPNcC/AWYq5T6uoTjIsoFQfBr4uN1ss2zC+bjj7u1iL9y+jT8uCiLL1auY+ePo+nYEQZG\n7mFl/cnsfmQLhYWwOy6d9KAYhnUqvtlt1CidjDQz3h076seVV+oEqD9S6Ch0VYIBOJl1ksWxi/li\nxxesObKGprWbMqztMCb1nsR1ja4iMCvbJULn33cXEes2E9qkKSeyMtjbvAnDu/bSXlmADz7QQtwU\nxV9+qfvNmx7bhQu1KDQ9vKtWaaO86RHetk2LdNODXDSzffKkzhw3d1pMcnP11+Ayeq59hcOhLyjM\nWy1mtRSziY+ZuRYumOT8fKJTU7Ut5fRpujirpVgaNaJ37dqXdRWf8hLlwUqp3HNM5JxjSnne1UAm\n8IUpyg3DCAT2A6OAY8Bm4HagP9APmKGUSvQ4R5RSKrKEc4so92Mq+ha6cOHI2l04CQn6TncbZ1GE\nZ56B4cPdVtby4FKt37bdWTz80zMELHubbdtg8MjTnBn0d+bf+TkrV8Kq1Yr4eMXBAwEcO6adDd9+\nq/fcVSWUUiRlJrHjxA62J213fa0WUI2vbvoKa4yV6L1Wjhzbw4Ae12IJs3B9amMaxCbojkwA332n\nb5s4N5px6BBMmIBtyxYiQBeX/+abi/Mx+QuZmV7VUmjY0N2mddAgbfr3Eyrj/51KKfZkZ7ta2nva\nUsaHhtK0evHN0pcrvhTlpX5yPcW2U0R3Ukp9ahhGY6COUurghQhy57nXGIbRrsi3BwJxSqlDzp/5\nDXCDUuo1YK7ze8OAm4AawKIL+dmCIAgVzcmTOmts7uf6+Wd95/rOO3X8yisVN7cLYeeJnfRq0gvD\nMMjOsdP+zTCG7tjDWlsNsnNqEXZrb154QjFypEHNmg2AzwHtNAjvY3DzTQYdO+qLkqr6tz49L51e\nH/Sib5Pe9GjWm1Z1W9H86BkCN/zG9fnXYwmz8I5jDL0OdiLwhbn6SQcOQKCH7+bWW71P2q6du4tT\n//66OkVVFuRHjpRsS3nmmcpnS/FDPG0p1pQUCp22lOfatiXiMrSlVATnLIloGMZ04Aqgi1IqzDCM\nlsB3SqkhF/WDtSi3emTKbwGuU0pNdcZ3AlcqpYrXNjr7eSVTLghCpSItTSc1zf1hCxZovfWP4j0w\nKgSlFE8/PYNXX32iTLeh3930HpP73EW9GtqrPPTjCO6q8QNvvxrK3r1QrcFxmtdtRu9eBgMGaC3Z\nrfjewSpBem46O0/sdGW+d57YiW2KjVpBtXSB+FWrYOJETmadZPN3b9Fm5sdcfWc+PZr04M46Q4g8\n3ZhW9//jwm//+6Enucx42lKsVjh2TFe7sFj0xgqxpVw0yfn5LDZtKampdK1VC0ujRkSGhl72tpSy\nUi6Zcg/+BPQFtgIopY4ZhlG8KOnF4zMlPWXKFNo5d0OHhIQQHh7uujVks9kAJJZYYokvWTxgQAS7\ndkFuro5r1oxg/nxIS9PxTTdVrvkmJ+fy/vvHqVlzBsOGDeSqoVcRYATw/Tfr2bMHoqvPpXXCPziw\n8QSJiXDVo3n0rZ7LvNm/s349HDxoY/FwGD7cxrPPwqRJ3ufv1q1yvV5fxVc80p3ae+PIv7Uf4c3C\nab6tkBu/S6P6vdVRSvGFdR7Ji75nftbb7D21l77Zvbnqb1OIvfMJGtdujM1mI74JtHYKnwuez3ff\nVYrfh0/inBwicnPBasX2449Qvz4REyfCe+9hy8uDwMDKNV8/i5VSNBk4EGtyMvOWLuVgbi6jR4zA\nEhrK7YmJNLTbibjiikoz38oYO+wOls1bRszmGPKP5+NLypIp36SUGmgYxjalVF/DMGoDG5RSvS/q\nBxfPlF8FTFdKjXHGT6NLLhbb7HmO80qm3I+x2WyuD4DgX1zOa5efryuJDB+u42PHdInbefMqdl7n\nYvbsecyc+Q1Hh+4n50QQtVrm0XpTJ6pPPMk7E9/i2PphWK1Qu+N2+rTuhD2nDrt36x4jubneTXz8\ndaNlSeQV5rH71G52JWwlbfUyxv7534SFhsGpU7oc37JlABw/sJOmM2cT8N57+nk5mazfuYgfUtYQ\nFROFYRi6iU+YhWHthpXYtMgX+P1n78gR9ybNdeu0LcV8c3XoUNGzu+Rc6vXLdzhYlZam/eEethRL\naKjYUspIYXohqUtSSbYmk7okleA2wYRaQgm1hFJ/QP1yzZR/bxjGbCDEMIz7gXuAj33xw4uwBejs\nFOuJwG3ojZ6CIAiVCqW0Lrv2WnevjTfe0E16qlXT7d4rqyDPz4dXf/yRfVubsiNqEsePh5Jb/w5w\npJHdEhre3ZK1j2wlICCA1Hr6tVqt4Ux7X9t2LRZd7jk8/NwlmCs9SumygF27AjBz5SuEP/oallsK\n6BjaiQENevKv+buocb/T192woa597aR5h96c/M80Fm37FGuMlV8O/kLPJj2xhFlYdMciujfuLrf/\nS6I0W8o99+iNqmJLuWhOeVZL8bCl/NSzJ73EllImsuOySbGmkGJNIWNLBvWvqU8jSyM6vt6RGi0v\nTf31s2bKDb1qrYGuwGjnt5cqpZZf1A81jK+BYUAocBJ43rmJdCzukoj/U0q9egHnVtOmTSMiIsK/\nMweCIFQqVq/WQtQs+Txpki7DbO6zq8zM2zkPu8NOuHE311wDza9exrABodw79goOHVrCHYv+D3uH\nwwQcb8K/u75PYMHNREXpinjDh2shPm6cu+eLX5GWBvXqYUcRlxJLtb/+jcz/vkKfNgO0KA8Ph02b\noEYNNh/bTIOVG2h1630EVy+5u5BSil0nd2HdbyUqNoq9p/ZybUddLWVsp7E0ru0Hb4iKwKyWYrXq\naimNGrmrpVx1lV9VS6mMmNVSrMnJWFNS+CMri5FmEx+pllImHIUOzqw/o4V4VAqF6YWERoYSGhlK\ng1ENCKzl/R612WysXLmSF1988dKXRASXKN+llOrpix9WHoh9RRAEX7Bliy6/3LKljh97TO+ncyZV\nKxV2h5203DRCa+n21Z9tm8uuk9uZed1MAGJTYgkMCKR1nQ6kp7vrnwO8/PJHZNobsiD/W9Lm3kZu\n2mkmTbqPyEg/saWY/9+bmb///EeXEKxfn3VH1tFp0Hj+/HhHVufup0ntJjwc25Bef5nOyB7FKuqW\nSl5hHisPrSQqJgprjJVAIxBLmIXIsMhLakvxew4fdldLWbdOi2+zic9lYEspC0opZjz9NE+8+up5\nZ69NW4rZxMfu0cRHbClloyCtgNQlqaREpWhbSlunLSUylLr96mIEnH1Nlsyfz9gJE8rHvqKUUoZh\nbDUMY6BSapMvfqAgnA2/90Zexvj72u3era0nZpnCX3+FwYPdovyNNypubkVJzUklLjWOgS11Me+F\n+xfy3bZorkmfQ3Q0rP7tRvbtvcU1vnNoZ9e/GzWC1FSIjtZaaenSqXTqBEN6hvLwzxGV35by9de6\ni1DjxiilKAjvTeIHr9Nu8Dh9vG5d3dDGyXcLXuLpZuF83bQ39YPLbos4kXmCxbGLXbaUXk16YQmz\nsPiOxZXOllJpPnsOh77rYPrDExP1LZb77tM11s3bTIKLpT/8wKZZs1g2YADX3XzzOcefclZLiRJb\nygWTHZtNSpTblhIyLITQyNCz21IKCrT3z+EAh4N5n3zCN7Nn08fj/xpfUBZP+VXAnYZhHAaynN9T\nF7vRUxAEoSI5cEDXCncWGmDLFq0ZTFH+z39W3NyKcjLrJNb9Vu7tdy8Ax84c49s/vmVgy4G89hp8\n/vmfSEn5E9Wug9tvh08/rUtoqPv5pnXatPBu3+62pbz5pr4jYLNB374V8/q8WLVKL0KzZjqeMEHf\nphg0iFNZpzi8+WeW5P/CSuMgO5J2UGtiAHfnbuAlnKL8L39xnWpImyEMaVO26r2ethRrjJV9yfsY\n3XE0N3a9kTmWOTSq1ejcJ7kcyczUGyzMJj6NG+tM+Pvviy3lLMx7/XW++fBD+hQU8NecHFY8/DDv\nPPooE++9lzunTXONU0qxOyuLqD17sJ4+zR9BQYzMzcWSlcW7WVk07dUL2rYt/gN++w02bHCJSNdj\nyBC45pri43/5BVasKD5+9GjdHbUoCxfqBgtFx//pT3DLLcXHf/01fPVV8fF33gl33118/Mcfw0cf\nFR//wAPw4IPFx7/9tvYTFh3/2GM4Hn3cZUtJtiZjP2MntOURWu2cTQNjG4HLcmCJAx50wL/+5W7O\n5cl//qMbSAQEQEAAkwyD0MJCVvu4L0BZznadT39iOTB9+nTxlPspsmb+S2Vfu+PHISYGhg3TcUyM\nLvpgivKS/i5UFKk5qTzzyzN8GPkhAIFGIMnZya7jvZr2cllTevaEL77Qr8PcdAo6sbNmjTtpaVZL\neeopLciL2lLKbf3279f1tJs21fGTT+pW6CNG6HjtWnJqBlHTFOWzZmFeYRzPPM7MIQZ9mnbiiWa3\nEN4snGZ1ml3wVHILc7Edsrn84aYt5eURL3NN22v8xpZS7p+90mwpzz1X+W0pDgfk5LgftWvrDbxF\n2bkTNm7UY3Jz3eOHDStZpH7yiX6vep47J0c3IyhB5E1q2JDQ6tVZffw4w4Flqak81L0713XsSF6R\naikOpbCkp/P8ypVEJCVRA1zikJAQ939inqSl6f/gzHHmIy+v5N9L9epQrx4qIADDOTY/MBBVvz5m\n7jizsBAF1K1WDVq1InXoUFRAAKHO+RyvVg3VqRPm1pPDubkopWhXsyb060ds3bqogADCDAMCAtgd\nEJQRvYcAACAASURBVIBq1QrTH70tIwMF9KtbF8aMYWOPHjgMg0FBQRAQwGq7HdWwIc7/wlmRmooC\nrm3YEO66i8XXXovDMIisU4eCDMWypaeptqqA2q+tJ7hdMCdGBJMzqyk3j2qLUXAF85IG4TAMJjdt\nCgEBfHLyJHZgqvP8Hxw7hgP4a8uW8OyzvH333TiU4tHWrTGAd199lVXr1umLUR9RlpKIJbxbyVBK\nFfhsFj5EPOWCIID+m7RuHYwfr+Pt22HxYt38rzKQU5BDzSCtjAvsBQz4aACbp24mKDAIu8POD3t/\n4PqOE1izxiA6Wmex77rr7OdMSdG2lKgoWLoUOnd276Xr06ecbCnJyfqPvyl03n1XT+Q6Z37nhRe0\nL+jaa3EoB0c3/8p2RyJbcuLYnrSd7UnbqR9cn11/2XVJpnci8wSLYhcRFRPlZUuxdLHQrVE3v7v9\nfzGe5DJjt3tXSzl+3LuJjy9sKRkZutWtpwDOyYHWrUvuPGWz6WxtURF84426iktRZs7UH/6CAggO\n1lelNWvCI4/AE08UH2+16kywOc58DB2qH0U5dkzP32NsSlAQ9ho1aFJLbxrenZWFXSl616kDwKs/\n/8zs2FgK69XDyM6md5cupDZpwt7sbLrVrk374GDC69ThidatMQyDr06cwK4UdzkvWD9PSqJQKe5t\n3hyAjxITKVCKB52eu3ePHqVQKf7eujUAbyQkUKgU/2zTBoDXDh+mQCn+5ezr8uKhQxQoxUvt2+v5\nHT5Mocfxos8vev45iYnYleIvzp//2fHj2ME1v6Lzn3/yJA7g1iZNAFiYnIxDKW507p5fkpKCAxjn\nvCj/9fRpFDCyQQMA1qaloYCrnU2zftt2ksLodOqsyCJjSwbGkDoEja1P+M0tqdGyBnuyslBAj9q6\nmlJ8Tg5KKTo51ychNxcFtAkOBuBEvq5Bbm6SPV2gZW+DoCD9+l9/nQ/79WP36NHls9ETwDCMQ0Ab\n4LTzWw2AJOdjqlJqqy8m4itElPs3lcYbKZw3Fb12zn4jTJig46QkXb3uzTcrbEpe7EjaQddGXalR\nrYbOHr3dji1Tt7iqdcSkxNCpYSeSTwUwf74W16tW6Uz42LH6jnBRbaIU7NvnTlru2KGz4JGR+mLE\n+bewTJR5/QoLdbbN+YeNBQu0CDGzhy+8oLOl5hXE9u1aoDv/kHtyJu8MvT7oRZ+mfejTtA/hzcIJ\nbxZO+wbtCTACio2/EJRS7Dyx07VJ07SlWMIsjO081u9tKUvmz+fjyZOZOndumTzJZ6WwUGeSq1d3\n21KsVn01W7++vrILD4dWrfR7ICdHf6+k981PP8Hs2cVF85Qp8Oyzxcd/8IG2CBQVwRMnwr33Fh//\n22/6qrvo+C5dSt6NnZenPzA1ariuTu1KUagUNZy3mBLz8sh3OHRmF525zXU4GOQs0bgkJYVsh4Ob\nnKLxi6QkMux2nUkFZhw5QnphIS877xZ8cOwYeQ6HS7QuOHWKAqW4rUkTlFLc+/HH/NShA6d37YLw\ncOrk5/NY58482LIlTatXZ3dWFg6l6OUU8bHZ2SggzCkivTLRwPG8PBTQoobObac4RWSoU0RmFBYC\nzkw3kOdwYADVna9fKeVXF6WOQgdn1p0hJcppS8mwu6uljCxeLeVSMG7HDqLDw8tVlH8EzFdKLXXG\no4FbgE+Bt5VSA30xEV8hoty/qWhhJ1w45b12SsHcubo0YWCg1hMPPKC7jVcGG+vC/QsZ2HKgy14x\ncf5E/j3i33Rs2BHQFVMCA4pPdMsWeOcdrXFHjy5+Z93TlmK1aq1h9lkpyZZSVrzWTyl3Wn3tWi3Q\nxozR8csv6x2xTz2lY2c5Qfr0cZ0rKTPJlfXecWIHO5J2sPG+jdStcSmaQRcntzCXlQd1tZSo2Ciq\nBVRzVUvxJ1vK2Zg3ezbfzJpFn4ICRsXGsqJNG3bk5TFx4EDu7NnTLYKvuQbuuKP4CT7/HKZN8xbM\ndrt+EwUFwfr13tVStm3TPt+iInjkSLjhhuLnj4vTVqWi4xs3LtkuUgay7XbyHQ5CnCLzUE4O2Q4H\n3Z0XiJvOnCG9sFDbGYBFKSkkFxRwtzMz++nx4yTl5/O004P9ZkICpwoKeMUpouclJZFWWMhDrVoB\n2lKSabe7RPi2jAzyleJK552BY3l5OJSitTOzWuBwEGAYBJYibE1bilktxeHUKkc2buSKoUNZ0aeP\n67UJJVNwuoDUpamkWJ3VUtrpaimNLI2o069OuV9UpBUU0KB69XIV5X8ULYloGMYupVQvwzC2K6XC\nfTERXyGiXBCqLj/8oK3HzruXPPqo3pdzgX/jfcpHWz/iihZX0K95PwBmrp/JuM7j6Na4+K33+Hi9\nB+vOO8t2btOWYrXq5KVPbSkHDsDf/w5nzkCtWtpmEh+v/bGgxVlWlu6UBN6CvQT6z+nPwbSDhDcL\n98p+92jco8SLEF9h2lKsMVZ+PfgrvZv2JrJzpN/aUlzk5mqBu2+ffrRpA5Mno5Riyfz5rH78cV5N\nSODpJk0YNnAg1/XujVGrllsEh4fDoEHFz3v6tLYa7dunrSBLl+rbS5GR+uEDW8rpggJyHA5X5jY2\nO5u0wkIGOM+7Pj2dk/n5LrvCz8nJJOTmukTx/44fJzY7m9c66gvZjxITOZKX57JX/HTqFEn5+fyf\nM1O9Ni2NtMJCIp01P/dnZ5NjtxNeV18MphYUYFeKxuVYs/tUfj6LnCJ8xenTdKtd29VNs2ft2qQX\nFnJ/TAxzwsJEkJeAUoqcuBy9SfOnZDK2ZdAgooHupDm0PtWbVyeogf695R3PAwU1Wuj3W87BHHBA\nzY46U5G1JwsU1O6hL+Iyfs9AORT1+uv3Y/q6dJRShAzVdpjTv5xGKUXDUfoPTHJUMihoZNHvr5Pz\nT5L4YSJ9f+lbrh09jxuG8STwDWAAtwInDMMIBBy+mIQgCEJJmALU+TeYffu0xjBFeXlbUxzK4bJV\nvLHhDVrVa8WtPW4FoG1IW+rVcIuYxwc/7vp3To62okRH60dGhk4833abTkoWxbSlmJs0TVuKxaKL\nDDS78L2NcOiQTsebFRKOHUPt3YsRF6fjmjV1+TqTwYMBSM9NZ+eJna7s96NXPUqPJj2KnX7ZXcto\nENzgkotg05ZijdHVUvYn72d0x9Hc1PUmPrJ85Pe2FFat0raNo0f1B6BrV6+qNIZhYBgGuWlpPNa9\nO46EBIwpUzDOZWHJyHA18bFHR1PQrBnBY8fCnDmc6NuXM0rR2WmP2JOVxYn8fIY7P3Cr09I4lJvL\nZOccfjx1ij3Z2TzrzDx/nJjIlowMPnSWMFqamkpMTg7POz3Jh3JzScjLc4ny4IAAanvc1upbpw5h\nHrd6JjZp4somA0wt0r3qxiKdu4Y6vcUmXWp5N4BqWA6iVynFH1lZrk2au7OyGOVs4vN+WBhNilwQ\nhAQF8V2P4p+j0s6NwlU7255jBwcE1ta/w4LUAlAQFOoUqYl5/D975x0eVZm+4fuk9x4ggdAJoXcV\nkCJKTQYLYlnXrqjrWlbd/am7rrq6oqtgWSsWcO2KdQIRQUBQkC7SE0hI78lkkunl+/3xzUwmBUhg\n0mCe65oLTnJm5kzJzHPe736fV9gFQb1kJd+QbUDYBCGD5POiO6hD2ARhIyQeU7urFmETRJznZlJt\ngqipbibVKoiZ7WZSbRB3ab1JFVZB92tkE3fJByUImyDhJsnRFb1ThDALev5JnkQV/LcAYREkPSDx\nnrzn8+T235LQ/qIl+9Fs9If1+AT5EJsWS1D/IKIujqLf4/ILoeDlAoRdkPQXef1KdSXCJuh5l7z9\nms01CLuoN+X7dQi7cJlyU6FJutjx8vm16W0NXK0SoKC4ee2A7g1fu5CUEKwaa4teu5aqJab8D8Dj\nwDeO7V+Aa5FTN6/y6NF4SN70la4rL77SdeWJ127LFlmsHe1Yf8vJkVVwpylvDkVtK9WZ66g11ZIQ\nLr9Q/vPLfzBYDDw+XcaVzR88v4EJnzVgVrO3AzBlSj12/dlnsrrt0wiZtljk1FAnH24ySRP+yCPS\nkDtWyFuv4mIZR/bAA3LbapUNaW4HVxIRxhFg5MABxLz7bgP+5+lNT/Penvco05UxvNtwRvcYzbiE\nca5BRY0VE9x2yxZOLEWdqSY9Mx1/X39UySqemfEMU/pM6fxYisUiVyEOH5Zox+HDEBYmeaXGGjVK\npjr079/8mRtw7Ngx9n7+OZX5+QT06UNQZiamigrmOyrFG6urOaDXc7fVCmo1Xx05wjYheC4zE1Qq\nPnjgAbYFBvJGcjIA2yoq2K/T8ajDZFdbrRS6pXXENzqOyZGRjHHwzgA39ejBzW6NDNc4E3Ycmtlo\nSWtseEOcqXejN3loZ+DQWqDGWIoQAlVcHI/37sPUkEiCQ6TVqttbh9ZoJOJ8+blR+lEphW8Wsqt2\nF+clnkfU9CgURaH3X2X/Rd4Ledj1dvr+sy8Auf/ORZgE/Z6SH4hFrxdhN9np86h8vUo/LpWm1mFS\nqzKqsJvtLpOq3arFbrG7TLn+kB5hrTfl5hIzwlp/EmQ32hG2+m2fYJ8Gvw9MDGzw+9ChoQh7/Xbk\n5EhwAxdi5zX8zOh+Xf37w1JtwT/en6qMKrZ030JQvyBi02IZ+PJAwseFN3uS3+u+Xg22Exc1PGnr\ncUPD6kW3q7o12HZWvJ2Kmdnw/Rk1peFJXsSEhitHOyt28mnNp02O60x0SnzFtaOihAohdKfes2Pl\nxVe6trymvOvqdF67ffskmuG82pdfyhVzJynRnirQFpBfk8/EJLnU//5v73Ncc9xlwvUWPUF+QSds\nQDQY5GyJyGbm01gszfuqxlhKcnI9H37aWIpWK3nv11+X2zU18OmnErhvpLfee4vnlz2PT5iWa46W\ns2pYf4yaIO697V7uuFnuv690HwG+AQyMGdim+MmJVFJXwqrMVaRnpbuwFCcf3qWwlCNH5Ivaq5es\nejsvI0fCeS1rzTpuMPC7Tucy3V+Xl3NPVhaF27fD6NHMjI7m9oQEFsbGwvbt5KxbR/m2bZy3fTvM\nm0fN/PkYp0+ne2fgvbqonM2QZWYzP+wqZnNBNZ/2qGVYaCjX7w1mvC6I8Xf3RVEU8l/Mx1Jmof9i\nyaxXZlRi09nodqU0h4bjBg5efZDN2zczmtHEXhZLyvIU/KPkh4XNKAfT+AZ1jZOT1kqf6TbEZ1ct\nUdOjXI2aTgSls8uisRAQ3b5M+STgHSBcCJGkKMoo4A4hRDPp7R0vryn3yqvOq+xsacSdfWGbNslC\n7tVXd8CxVGezPmc9t429DYBfC37l57yfeWjSQy2+jaNHpalevVr2Q77yCtx884n3d8dS1GoZhezE\nUlJTTxNLsdtlDNznn8tyuhDw0Ueyua9xOR44XHGYlQdXsrVgK1vzt+J7zBfdUR2GaQaStiex9I6l\nLFAt6DCzK4Rgb+leV1pKZmWmKy1lzsA5nQdLsdvlUo6T9XZWvquqYP/+pvvbbHKVIvDkZsNit+Pv\neN0O6XQsKy7mxYEDXdvrNRpX2gc40h+qqxkfEsLaggKinGkp3brVNx6cd17n6H7u5DKVmLBWWQkd\nKvEGzWYNhqMGEm5OQAjBzjdzOfZzJa88qHBAp+PW/aFMqgtm6n0D6BYQgP6oHrvOTtgoWXluSZrJ\n3nl7qc6oJmx8GKPWjnIZ8rNRdqudmp9rXEbcVudIS1HFEj2jfdJS2kKKorSrKd+OTFv5VggxxvGz\nA0KIlkFQ7SyvKffKq86jsjLZP+ZMxzt0SPaUuQ1dbDflanJZ/PNi10CeAm0B67LXcdPom1p9W2vX\nyqFyOp1kw+fOldX9RkgrIKvn7mkpFkvDtJTTwlJUKpn/7Zzkt2GDnNTXgga2ddnr+OHYD0zsNZEL\nel3ALxt+4ZYlt5AUmUR+TT7LH1rOAtUZRuu1Uo2xlADfAFc1vMOxFK22+YZHkwmGDpVND84YPif3\n3Yh9PpEMNhu/arUuZjtLr2fBgQP8PmECADVWK/t1OiY3t/wCkJuLZtUqFikKy/71L6JGjqx/czk4\n7nNZ1horlkoLwf0lU1y3t4663+vocb08+y3/ppzqNdUkvyHxnao1VdTurqXPI/LvSnOoju3HqlAP\nNqGuqMDXIpjXLQ5VtzimRUW5ohTPRBaNhcxFmSQvSz4rDbml2kLV9460lDVVBPULIk4VR6wqlrAx\n7Z+W0hZqd1MuhDhPUZQ9bqZ8rxBi1Emv2EHymvKuLS++0nW1ceNGJkyYzooVcPfd8mcVFTKquL1Y\n8Ap9hauSWqmvZOqKqey/az+KomCwGNhasJUZ/Wac8f0UFckTjhMhJpWVsliZnl6PpTiLliNHtgBL\nEUJWVp0jnK+6Sj6pznGkBw/CgAENqq515jq2F25na/5WthZsJSwgjE+vPDXvuPjlxST3TyYmLIaq\nuiqycrJ4+N6HW/hMnL6cWIo6U82G4xsY1X0UaclpqJJVpMSldMyX9Y8/woED9dXvw4cl/lNU1DyX\n1EoZbDb+efw4zzvSRLRWK7ceOcIXjkY/uxDYhcDvRGbPZpMRlM4zvNJSmDePjf36Mf2BByC8fSIn\nO0p2kx1LtYXAHvJ9rz+qp253nYsVrt5YTfnn5SS/7jDZ66qoyqhi4BK50qA/okd/RE/cfPkZYdPZ\nEFaBX2R9e12Z2cxqR5PmuupqhrmlpQwLDW2T9+XZ9r2nz9S7RtrX7a6TWIoqltjUroOltEbtbcpX\nAi8CrwLnA/cC44UQ13jiADwtrynv2jrbPpzOdgkhYwnr6mDnzo0kJEwnJQVeeKF9Vss35GxgWt9p\n+Cg+WGwW+r/Sn6P3HHUN6CmuKyYxvGVVS6f0elnNz8iQnuyHH05tooWQqwDOJs3ff5fRjSqVHHx4\nSizFbJaVV6epuu02mf987bVyu6wM4uKaxVEKtAWoPlGRWZnJqO6jmNhrIhOTJjKx10R6RvRssv+J\n1NZ/e04sxTnS3h1LmTtw7gkbRz0qnQ4yM+VZknP4kbtuukn+3J357tmz2ef9RDpmMNAvKAgfRZGD\nX3bsYOe4cQT7+iKE4PWiIu5MTDxhlnUT1dY2HOLTvXsTLKWrfm4Ku8Cmt+EX5hhmU2SidketK82j\ndnctJStKGPTKIAA0P2koeruIoR8OBaTJrtlSQ8LNsrnUqrVi1VgJ6t3y5SdnWoraYcQPOdNS4uKY\nGxPTJC2lLdRVXz+n7BY7Nb/UUKmupDLdgaWo3Ib4BHdNLKWlam9THg+8DFyCjET8AbhXCFHpiQPw\ntLym3CuvPKuCAomnOr+bpkyRCSLOFfp33pFzSH7+WW4vXNgwUc+Temf3OywYsoDoYLncf9UXV/FG\n6hsuQ3e6E+mEkAEYq1bJBJhx4+qxlBNVtpvDUpxzVk6JpWi10mw52eDHHpPO3bnEYDQ2uAGdWcee\nkj1c2LvpeG+LzcKu4l2M6TGGQL/OVYUyWo2sz1kvh/i4YSmqwSqm9J6Cv28bL9d//rl8YzqZ77Iy\niZt89lnzo9tPQyuKi7ksLs6VMT15926+Gj7cNZo7x2Cgj8Okt1jHj9e/sbZulbGUzjdXJ8dS3P8G\nLVUWanfWEjNLNpbqM/UUvVXkqlzX/FpDzj9yGL1Oxi3pj+qp+LrClT5i0Vgw5ZkIGxnWzD2dvkx2\nOxs1GtQVFaRXVqIoCqrYWNJiYz2GpZztslRbqMqoojJdYinB/YNdfPjZgqW0REIIfHx82s+UdzV5\nTblXXp2ZvvxSegBnstncubB0ab2HycmBpKR6sgJkNTgjA8aPl7x1c2z16ejpTU+zYMgC1wCeJVuW\ncM3wa1pVAW6pnnhCGvCLLz4xqeDEUtRq+TgHD65HeE+KpVRWQmGh3AnkWUxRkcw7hCYDebKrs9mS\nv8WFohypPMLI7iNZd/06QgOaqfB2IjWHpTj5cI9iKe5DdcaNq8/NdNcbb8hYHGfVu0+fVi/h2IRA\nuCEl92dlsSgx0TVF8tncXG7o0cM1IOe0ZLPBtm31Sy2lpbLzV6WSzQqdBEux6WzU/VYno+6QOc+F\nrxXS/xmZLlK3v47D1x9m/B4Z/Gw4bqDo9SIG/EfiOhaNBd1eHVHTPPQB0QqVOYb4qCsr+bG6muGh\noaS1MZbSEgkheOSZZ1j86KOd3sjqj+hdI+3PBSylJVqZns5ClartTbmiKO7BqQJZJXftLIS41xMH\n4Gl5TXnXVldfxusKaowrP/20RC0cM2J4+WVpxB3RxS2SRgOXXbaRb76Z3ipDLoTAYre4Gvke+uEh\nLup7EanJqYBsShzebbhrVP3pSghZKM3IkI91VAs7YpxYinOIjzuWkpoqSYJmVVEBv/0Gl1wit3/6\nCdatg6eeatH9zv5wNhGBERJF6TWRsQlj27wKfrp/e+5YijpTTVZVFrMHzCYtOc3zWMoHH8h4x8OH\n5UmOc6jO//2fHAnvAe2praVbQAA9HSb70n37+FPPnsx2xAhu02oZHBx85tMXG2MpPXrUn+G1Mi3l\ndF87u9mO/pDelRZiqbJQ+GqhKxfbmGdk/+X7Gb9LmmxToYnsR7MZ8r48SbbWWKn+sZr4K+QQH2EX\nCLvAx6/jK81CCPa5DfFxx1LmxcS061TPk2llejo3LF3KBw8+yILU1I4+nAZqgKWoK7HpZVpKnCqO\nqBlRnRpLsQuBTQgUaLZHo9ZqRWO1YhMCG/Lk2yYEsf7+zSJLuUYj2QaDa//0Tz/l288/x3fgQI6/\n+267mPKbHP+dBAwFPkMa84XAASHEnZ44AE/La8q7trym3PPKypLoiTOo4847pQG/4Qa5vWOHnNx9\nQoPZQrXktSvTlWG2mekVIYc+3P/9/QyNH8qicYsAmZASGxJLWMCZL1frdLB+ff0UTatVnmzcey8M\nH37i65nNDYf4OLEUlUrmqTeLpWg08M03kkkGmf24bBk8+2yD3YQQHNccd8UR3jj6RsYnjj/jx+oJ\nteZvz4mlOPnwQN/AM8NS3IfqHD4MEybIJYvG+vlnGTmYkiINuQcmNH5WVkaPgACmOc4mn8/LY0J4\nONMdiSjuEYVnrDbCUpyvnbAJjPlGgvvKtBGbzkbhG4X0fsiBg1Ra2Je2j7FbxwJgrjBz6LpDjFoj\nz1KtdVbKPi5zDWERNoFVY3VNiOzsOhGWooqNZWonw1LeWrGCVz74AEv//mQNHcrAgwfxy87mnuuv\n50/OzxE31VitVFksTUxkvL8/PZpZpckxGDjqZiKd+w8OCXGt8rhrV20t27VaRLWV0A16wtfpiPhJ\nj1//QPpe1l1iKaPrsZS1VVV8X1XV5PbnxcZyaVzT2NLPysr4uLS0yf7Xd+/OTW4Dp5x6o7CQVwsL\nm+x/b69ePJiU1GT/f+fm8q/jx137g5xw+VjfvjzezN/W0vx8lubn46so9Rfg7p49uadXryb7rygu\nZkVJiWtfH6Bs82Zyt2+n6oMP2pUp3wZcKISwOLb9gZ+FEOd74gA8LUVRxOOPP+6d6OnVOau1a2Ul\nfM4cuf3aa7II55y+bTKdMirZYzpccZhKfSWTe08G4M2db+Kj+LhMuNVuxc+nJYOFW6833oAvvpBG\nfO5cGDbsxHhJRUX9EB8nluL0Ss1iKSYTLF4Mjz8uf6nTySp4IxPu1HdHvmP5b8vZmr8VRVFcFfCr\nhl1Fn6g+nn3gbaTi2mJWZTmwlJwNjO4x2mXEB8cOPr2l908+gSeflGY1Kak+UvCKK+qXbs5QNVYr\nepuNBMeb/sX8fAD+4vhi36TREO3nx4gwz3LLQD2W4jTiZWUexVJsRhs7R+wkIDEAn1AfUt5OYe/s\nvZy3Xw4jspvs5D2fR99/9AWkyTZkG1wTHc8GNYelqGJjUcXFMTQkpN2QkFKzmWMGAzVWK1qbjRqr\nlRqrlXHh4cxwnOC56+X8fP7+6afofvsNbr8d3n4bv1Gj+MfChTzeDIr1ckEBLzZjIu/q2bNBbr1T\n/ysp4X9uJtK5/9XdunFtowqM/oiezZ/mUbOqiuhDFsrPD6R0RjAV04KYOiTetUrkri01NWypqWly\n++PDwxnfTIToIZ2OI3p9k/37BwfTPzi42eez3Gxusn+Un1+zq1QWux2bEPWmuR1e9ycXL+bZ15dh\nLDjerqb8CDDJ2dipKEoMsFUIMdgTB+BpeSvlXp3tMptlSlu8XDHm009lNfyxx+T21q3SC1zYtCew\nzbRIvYjMykwsNgtXD7+ae8+XdNuGnA3ka/O5YdQNbXK/dXUSKx49unXXc8dS1Go50Ojii6UJPyGW\ncs890nSHhsobeOEFuO8+VwesEAKj1Uiwf9MvmPU56ymtK2Vi0kT6RPbp9OwoyMfzW8lvruxwJ5ai\nSlYxd9BcYoJPMBXSapUm232oztChMqansfLzZdPrwIEeO1PcV1dHsdnMLIeReLuoCI3Vyl97y2px\nhdlMkI8PYX5tczKIVtsQS0lIqD/DO8MhPkII9s/fz5APh7hi/LYP247+oB6A+IXxDPu8U44Q8Zic\nWIq6shJ1RQWH9XpmxsSQFhvbKizFLgR1NllTjWjmvbC1pgZ1ZaXLXNc4jPaC+Hjua6aSury4mLeK\nioj086u/+PoyKybG9V50V43Vypfp6dz3ySfEHcynYkgvVtx4Y7sgLHZLoyE+XQhL6Sxa8dYKXnzi\nFYb6pPBp0SftaspvBp4ANiDxlWnAE0KIFZ44AE/La8q7trz4SlPl5UkDOXu23P78c5kQ8tJLcru8\nXA4XPFP85HR0uOIwK35bwa8Fv/LTxp+gH1yYdCGbb9ncJvfnNNNOJGXbNul3Pv741Nd1YilOPvyU\nWMq998qLY5oin30mO1od1U2j1ciuol0SRXHgKJenXM5rqa959DG3h4QQ3Hnddby44h02HN8g01Ky\n0gnyC5LV8GQVF/a+8NRYyvffy+miCQkNB+qcfz6MGeOx4zXabAQ5zO1mjYZ11dU86agubtNqyTEY\nuKY9/yBycup5p19/rcdSUlNPC0txTzDZf8V++j3Vj9BhEjmo+bWG8DHh+ARKFGPvvL1syNjAKvGA\nngAAIABJREFUheMvPGsnQprsdjZUV6OurCS9shIfRWFuTAyTIiIYEhKC3m53Gee+QUHNDlv6vKyM\np3NzXSa71mYjxNeX+3r25On+/Zvsv6Wmhg0aDZG+vkS4mez+wcH0Pq2JX021+LXX0BdU8svLG5l8\n/3RCe8Xx8J/aZli6parhEJ/gAcGySbMRlnImEnYBAhTfprdlqbZgqbQgrKLBJaBHAEG9mj6fuoM6\ndPt1TfYPGxNGxISmlfjqH6up+qGqyf6x82JdEZvuKvmwhNL3S5vs3+PWHvS8s+nKQ97zeeQ9myf3\nswjsFjvbrNs4EHGAD7TtiK8AKIqSgMwoF8B2IUSxJ+68LeQ15V1b56opt9vro5APHZL9bM88I7f3\n7ZNs9H33ddzxOVWuK+fhdQ/z7qXvAqAxathVtIslW5eQsTaD8ZPHs/b6tUQFeT5dwWyWCTAWSz2S\ncvHFJycAKioapqWkpNQb8REjGmEpDz0kTdRFF8ntzZvlTs10rm7K3cTcj+YyJG5Ig1zwvlF9u0QV\n3F3FtcUseeNfHPnHMn5dGMjQmRNcaSmDoweh5Oc3HCN/+LDMTP/ii6Y3ZjTKN3OI5/AIjcXC7zod\nUx2vw8bqap7LzyfDkWRTajZTajYzsi3wkxOpMZZSXi7fO2lprcZShF2aAZ8A+QFw6PpDdLumG7Gp\nskHWcMxAYFKg6/eNZdFY+PCyD/njN3/sEob8RLGlR/R61lVXu0xzidnMYb0ek91OjtHYBEt5v6SE\nx44fJ9LXt0F1el5MDNc3Mxig1GymxGx27R/h59fyrPg20Iq3VvDBSx/Qz9iPYceHsb/3frJ9srnu\n9uu47dHbmuyvO6Cj7re6piZ1bBiRE5uehFStq6LsozL0R/UYjxmxVFgISAggJjWGvo/1JTCh4cpU\nyYcllLxb0qxJ7fXnpisDec/nkftUboN9EdDnn33o92RT/KbglQIKXilA8VMaXBJvTyTxjqazJMq+\nKKP8i/L6ff3lv86KfmNpftag/UXb5PbDxoURMb6pidcf1WPMMTbZP7BnYLNJMtY6K8IkGhzP6m9X\n8+GtH/JZ7Wft0uiZcCrz3ZJ92lteU+5VZ5fJBHv3ypVskF7n2mth9265XVUlf+/0hh0pq93K1Suv\n5tMFn+Lv64/NbmN11mrSktMafLFqjBoWqRexTLXsjA25EPLSXE9WTo4sPJ7ou1QIOezSWbR0YinO\nIT7d42z1+MDjj8sO11tvldtHjsgKb0QEJquJ3cW7ya7O5rqR1zW5H5PVhE3YCPHvemyuO5byyTvv\nYvmhgKk+IbxbUscjAwewPyCQa+69lz/ecYc8Q5w1q77q7fx3yBBoZgnfEyo1m3mtsJB/OSrf2QYD\nLxUU8MogOUDGJgQ+0P4nPyfCUpxpKS1sIrSb7Nj0NvyjpYHOuieLsDFhJNwim90sVRb8ovxQfFr2\n+NozUs/iVpHWOsxzlJ8fo5s5CdlQXc1zeXku7MN5uTI+nhXNZMRv1mh4tbCQErOZHIOBcouFkWFh\npMXGcldiInGdJC3lVBJCYK2xYi42Yy424x/vT9iIpieMuc/m8tljn7FX7OV22+284/8O5/U5jwUP\nLmi2Ulv+VTnlK8td5tR5iZkbQ1yaNKkuLEVdSdkXZdi0NkKHhxI2KoyQISH4hvgSNiaM8LFNXy9D\ntgHjcWOT2w9ICHBNUHWXzWBDWERDU9vC9+zZotcWv0bf5L6kXZnWLqZ8txBi7Emv3IJ9PC1FUUKB\njUiEZlUzv/eacq86lQwGiR87me/qarj+emkcQRbdzGZoptelQ3TTNzex+OLFJIRLk7Dm6Bou6neR\nK7awLVRbKyecZ2RIAuK995oP32hO7liKWi2fT5UK0lIF08fVEtTNUSVZulTC+E8+KbfLyiAiAoKC\nsNqtfH3oaxeK8nvp76TEpTCtzzSWzl7aNg+6HWWwGGRaioMPD/MJ4i4mkJYbxOGMrfx89CiLbTYe\nSUpi2tKlzF6woM0Mnl0IMvV6UhwJENUWC1N/+43fx49HURT0Nhsry8u54ZRjUNtBOTn1vJM7lpKW\nVh9ndApZa6xYqi2uRJS85/JQ/BSSHpSNpnaLHR//008FWZmezi0ffsjy669vFY9cbDLxq1bbgJeu\nsVpJCQnh9sSmlcvPysq47uDBBihHpJ8f82Jj+T8Hr++ufKOR/TpdA7460s+PMF9f13vLaLPJtBQH\nluLbKC0loBOlpQghsFRawAYB3Zt+FpZ9Xkb2I9mYi80uMxuQEED3P3Yn8bamz6fdamf117LSGpQU\nhCHfwA3LbyB1QeuYckuVHOJToa6g+odqggcGu6ZpegpL8erkapeJnoqi2AD9Ka6vFUJ4forHSaQo\nypNALXDIa8rPPnVVfKWyEmJiZAXXbofJk+Wo9sBAuf3cczJKuRN9x7j08LqHWTh0IeMSxwESzRib\nMLbVsYSn89p9951k43fskDHTTiwlJeXko+0bYylDhsClc81cekEpKTOT5HU/+EAiBq++Kq9kMMgX\npJkXQQjBH776AyO7jWRi0kQmJE7o9EN6TqXi2mIXG74hZwNjEsagGpTGoiUbidiwRaadzJzJ90FB\nrPnvfymIiaFnVRVzly9ntjOqxwMSQvBiQQH39eqFr6JgtduZsHs328eOxV9OwiPfZCIpMLDjDYTN\nJs23c6nFiaWoVDJzvgVYiqXKgjHHSPg4uW/5l+XU7auj3xOy8n+6U2cbq3GkXp8DB6g5coR+c+cS\nm5qKxmGyL4yM5L2UlCbX/6Wmhufz8lymOcJhmkeEhjIntmm2vKdWKEodaSnpjrSUEaGhqOLiSIuN\nbde0FKdO9HrU/FJD/gv5mIpNsupdYsY31JeERQkMeHZAk/3N5WasGisBCQH4hbWsidhZaQ2JCUFf\npSc3K5c/PXxyplwIIYf4OEba1/1WR9RFUXKaZmpsEyzFq7ZXu5jytpSiKO8BqUCZEGKE28/nAC8h\n4yXfEUI81+h6M4EYIAio8Jrys09dxZR/9ZVc1XdirEOHwoYN9c2We/fKLOwzCFpoM73060sMiB6A\narAKgB2FO+gf3f+Mh7yczmv3yy8S17noovrnsjk5sRRnNXz/fpg3Xc+1Yw5z/l1j5fO+aZMssa9Y\nIa/kAPULtYWuRsytBVtZcdkKkmNbMRmpi8gdS1FnqjlWdYzZA2VaypyBc+rTUtaskdOTHJXotxcv\npndyMgExMZirqsjPyuK2hx9u1X2b7Hb8HFFkAFcfOMB/Bw1yDeF4IieHB5OSCG+rxJMzkVYrn5P0\ndHmml5jYMC3lFGfSlmoL2i1aFwOu3aml/ItyBjzX1LidroQQ5BiN7Kytpc5m45aEBIQQrExP58Gv\nvyZ/5EgS9u7l0hkzuGjWLKL8/V3V6Th//w5FP4QQ/O4c4uNIS5nllpbSXsemz9JT+mGpCysxFUmz\nHTklkmGfNU2sMeQYqNtdJyveiQEE9AjAN6htPtBP9dlpt9ip2VyflmI32l0j7aMu8qaldLTOBlM+\nBagD/uc05Yqi+AJHgEuAQmAHcC0wHhgLPA/8CQhFDjMyAJc3duBeU+6Vp+Q++fyxx+SwHQfWyiOP\nwN13txlW61F9vO9jak213DH+DgAOlB0gOjiaxPCmS6qnKyEEjzzyPIsX/9VVdRJCmueMDNmc+fe/\nt+42zWY5CNNJD/hZjdw/cj0D7pnH9OkQWJIrlx8+/bTZ6z+x8Qne2/MeeoueC3pd0KAhs7nYwq4o\ndyzlh4NqJucr3Fjek/MOaAj51zP4Xe65ire7Nmk0DAsNJdaRF3z+rl28M3iwK+v715oaRoWFEdwZ\nz0qhHktxpqVMntxiLMVaZ6XsozJXc5qp2ET+knwGvjDQo4dYbbHwXF4eO2tr2V1XR4iPD+Mdmdf3\nOj54nOhKUlAQ+QYDy2+4oVNMhTTabGzQaEhvQyzFUmlBs1FTX8l2XIIGBJH8atOTbt1hHWWflElG\nOiHQhZcEdA84YRNtR+qEWIoqlrBRXiylM6nLm3IARVH6Amo3Uz4ReFwIMcex/TCAEKLJNA5FUW4E\nyoUQq5v5ndeUe9VqZWdLvNg5iOyaa+RwRucAnrVrZRa2Mxu8M+vH7B/ZnLeZJ6Y/AUBOdQ4A/aKb\ndsR7SitXfs8tt6xh2bI5BATMdrHh/v4SR7n88vqJ8ydTeXn9EJ91P9h5OPZtbLcuQjVfYfhAI8ot\nN8NHH7mql8W1ss/cyb+7a2fRTiICIxgUM+is+gJzYinqTDUbj2/kzoq+3LXFTO/9BfgOHSbTP2bO\nhIkTXRnqZ6rXCguZFBHBGAe+8VhODlfFx7tMuHNoR6eVE0txGvGKioZDfE6yTCNsgpzHcuj3dD8U\nHwW7xU7OP3Lo/2z/M35fCSHIM5no00zEntFm4z/5+YwPD2dceDjdm3ktF7/2Gsl9+3LFvHl8tXo1\nWbm5bRapdyqVug3xWe+GpahiYxnSAizFbrFjzDViLnJUsh1m2zfc1zX8yF11++s4/tjxenOdEEBg\nYiBB/YMITel66FkDLEVdSd1eiaXEqeKImRfjxVI6sc5WU34lMFsIcbtj+4/A+UKIe1p5u+LGG2+k\nryMbNioqitGjR7uWhjZu3Ajg3e6k2y+99FK7vF56/XTi40Gnk9tr105n6lQIDJTbo0dPJyICNm3q\nXM9Pc9vZVdlsD9jOm2lvsnHjRqoMVQydMJSUuJQ2v/8HHvg7X321noCAGWRlXUJi4rtUVR1Dpbqb\np576I0VFG1GUE19/w4aNHD8OpaXTUauh3467KB2fynWL0pg3Dw7eczXcdBPT587FYrPw3tfvsb9s\nPxXdK9iav5WqQ1XcNf4unrv9uQ57/tt6WwhBZEok6iNqPk7/mCJtEWmz01AlqwgrCiPiWAHTu3eH\nGTPYuHfvad3fO926sWfzZsJ8fXmsb19+6teP0WFh9Dx0CADzyJEMCg4md9u2Dn8+Wryt1bJx6VLY\nsoXpe/ZAYiIbR46EiROZfued4ONzwuv3+q4XvR/tzZb9WwAY+PtAEm5LYPP2zWd0fJ+sWcMRvR7D\nyJHsqq1l2+bNBPn4kHvnnYT4+p7243X+rD2fXyEE737/PVtratg/aBBH9HpGHz3KpMhIHkhLIy4g\ngA0bNmDT2Zg4YCLmYjMbftwAAq545oomt6c7oOP9me/jF+vH5JTJBCQEsMuwi6DeQVz22GVt/ng6\nYnv9uvXofteh3aJl4N6B7NTsJGJSBPPumEfURVFs3nZm7zfvdttsO/9//PhxAN5///12zymfAgwU\nQixXFCUeCBNC5JzRHTc15QuAOZ4w5d5KedfVxo0bXX8AZyKbTfb1OQtgb78t+e5bbpHb6emy6n3+\n+Wd8V+2u0rpSFqUv4ttrvgWgzlzH0aqjjO7RyrGWpymrVQ4vGjsWQkMFK1d+z4MPbiI/fzZJSWtY\nunQaCxbMPmFlzB1L6fHRC/wQdCkjrhhEWhrMOPwa/tcuhG7dmlzv3d3v8vK2lxtgKMmxyWdVFdwp\ng8XAjzk/snbv11Sv+ZaLjtkYENUP+4tLmZw0+dRDfE6hXKMRvc3GEEcCSv+tW8nZtg1Gj2ZhfDyv\nDxpEuJ8fgT4+nng47afs7Hreadu2eiwlNfWkWMqxvx6j+w3dXdF15d+UEzU9yuO539P37CHKz49x\njur3iSrgrZWnPjdPJSeWoq6oYGN2JXGVcIlfBJNn92RKZGQDLMWYZ2T74O0o/vVJJIEJgYQMDaHv\nY33b/Fg7qyyVFiozZJNm9Q/VBA8KJmtYFqn3pnqxlC6qdq2UK4ryBDAOGCyESFYUpSfwuRBi8hnd\ncVNTfgEy5tCJrzwC2Bs3e7bgdr2m/BxUTo5EH5zZ3y++KKMH//UvuZ2bK1GKZpK+Or0sNguXfHAJ\na69fS4BvAHZhZ0fhDs7reV67fYA7e+GcEc29e0uKZMiQenQlKUkhP9/O8uVzWbBgdoPrl5fL69mX\nvsSXx0ZTOWI6KhX8Iew7+lw+Fmtid34v/Z2tBVux2q3cf8H97fK4OpOKaotYlbmKdb99xfBP16PK\nD2ZonhHr2FGEzJ0vOaCxp5dAm20wkGc0Mj06GoAvysqosVq5zfEHMW/vXjKqqxkfFsbaUaOI8u/8\nQ2iAplhKZWXDIT4nwFJyHssh/PxwV76zdpuW4EHB+Me0/nE7mzB31dbKS10d/+7Xj/Mimg4saQsJ\nIXjmkWd4dPGZ55QLm8BSZSEgvv5EocRkYlVVFT8cL2fGbVV0r1KIqBL4hvoSnBBISEoIw78c3uxt\n2Qy2FieRnK0SQqA/rHc1aTbAUlJjms0A96pryZOmvCV/LZcDY4BdAEKIQkVRWj6urOXaCQxymPUi\n4Gpko2er9cQTTzB9+vR2qRx41THauRO2boV7HOsoOTly9ovTlN9/f8NIvRZGCncazf9kPq+nvk6v\niF74+/qzdNZSfBXZNOej+HB+r/Yr8T/3HPz737LoOH++/H9SUv3vs7LyWb58DldcMYuvvvqBrKx8\nhIADB6DgsTfZuT+YF8pv5OKL4aZLJ7Pi8h7EjYEqQxX/+WULW39cwq6iXfSJ6sPEXhOZNWBWuz22\njpQQgj0le1AfkWkp2dXZzBk4h8tHX8Ol+wYQ/EAqTJ1KQGjr+djjBgM/19TwR0fCSrnFwmG93mXK\nFzZaifh46FAWZWayLDm58xty9zPEjIz6tJT33oMJE1z9BsImcH4E5D2Xh0+QD73ukw2S3W/sjn9c\n/eOMOP/0DPTjOTn8t7CQEB8fV+X7/l69SPHgRNNTadWXq9j3+j5WT1jdqoxru8VO1t1ZDZJILOUW\nAnoEEHxwuExLqazkiCMtRdU7nmmvJxLfJ7RFSSSKr3LOGnJXWoq6kgp1BcIkiFXF0vuR3jItpY1S\nXLxqX23cuLEB0uIJtaRSvl0IcZ6iKHuEEGMcw3u2CiFGnvadKsonwDQgFigD/ulAY+ZSH4n4rhBi\n8WnctrdS3oXlXIY1GmV1e/Bg+fMtW6Q5/FYSG+TmwtGjLR8w09l1Z/qd3DjqRiYmTQRgX+k+kmOT\nCfTr+CpKQQFERp4kotliQfzpT3z83beoQhPYHjWL26ufRwi4aVoOU2f7M3lBLwIbPRSdWcfzW55n\nYq+JnN/r/DOeBNoVZLAY2LTnG45/9R6hP23hv6ruXDjuclSDVWeEpZSYTLxdXMxjjl6aXKORjMpK\n7uzZ8jES7YVAnJacWIpaLbGUCy+sT0vp3RshBDatDb9IaQKL3ipCn6ln4BKZiGKuMOMb5tsqMySE\n4LijAt47KKjZyvdRvZ4wX196NH5zt4NWvLWCD175gP6W/gzNGsrBQQfJrM1k/uj5pPZIbZCvPTF/\nYpOEESEExcuKCegRAN382BFmJN2nBrW2Cn9nWkpcXBMsxavm5cJS1A4sJdltiM8psJRO/bfn1SnV\n3vjKX4GBwCxgMXAL8LEQ4hVPHICn5TXlXVPV1XDppaDVbiQxcTpPPAHPPw9ffCF/bzTKS9RZ4tv+\n9dO/SIlL4aphVwGQWZlJz/Ce7T6wxmCA9evlEB8hYNmyU1xBr4fCQlc2ZM2Kr6l8ayWag7+h1R5k\nOnBwyFx+fOkuiny28mvhVnYX76bgLwWEB7bFAlvnV1FtEdu++i/mb75k4M5jpFQolI4eRFjq5XS7\n+6/gqF63RnVWK3dlZfG/lBQURUFns/FZWRm3JDRNoWmpOpUxsNnkUpiTD3diKY4hPvbAEMxFZoL6\nyNSS8q/Lqfi2giEr5Ph2m9GGT4BPq8d+76ur4+OyMhlDWFtLkKMCfkdiIqnNDNTpCJkrzPhF+qH4\nKaSvTOfrB79mZP5Ifk/6ncmjJzNj/AwCEwMJTGwY+9fYFDqxFHVFBRs0GkaGhbliC1M6YIhPV5ML\nS3GmpfxeR/SMaGLTYluNpXSqvz2vWq12T19RFGUW0pQDrBFCrPXEnbeFvKa866ikxDW/BJ1ODuDJ\ny5PbCxfC55933LF5Wu/sfgetScsDEx8A4LjmONFB0UQGRbb7sRiN8PHH0ohv2CCjHufPlxdnDrtL\nVVWwebM8YwLEtu1U/2cZb41/B7Ua9u1/HZ+oV/lKl8vFVXp2hivM6gbdZwzmqmuvYmLSRM7veT7R\nwa03nl1VQgh2F+92xRZmV2fz2r7ejAzqQ++FtxE+fRZNlg1acJsz9+7l2xEjCPX1RQjBNxUVzI+L\n69xRhK1RTU39EJ+MDOjZ01UNt48ch+6gwTUls3Z3LXmL8xj2hRz6IuyixQZcCIHWZiOymUFGW2pq\nWFddLVGUsLAOqYA3ljHXiGazhprNNdRsrsFUaGLs1rGEDg0lfWU6H97SsjHtQgj21tW5RtpnGgzM\nio5GFRvL3NhYV+a8VyeW3SyxlAp1BZXplQizaDjEx4ulnJM6KyIR20peU941JITsWVu1qr75ct48\n+V08frzMBe/KVfFVmatYl72OF+e8CEBJXQn+Pv5nPDXTEzKZ4NZbZQb73LnQoACo0cCSJfDUU3K7\npATrCy+yftZzrqKlXQhSVVYuU/kzdapAvWYlT772Fx4rLOSJxB48effLLLx04TlVaTPkZXP401f5\nWXeIZyN/JywgDFWyClWyiklJk1qEpQghEICP43mbuXcvrw0aRLKDT96h1TI6LAz/swklcMdStm+X\nWEpaGvbZqVQdDCVOJRsxzeVmjtx6hBHfjTjFDTaUO4Kyq67O1Yw5NSqKr4c3bU7sbDp04yGqvq8i\nckokUVOiiJwSSejIUHz85HvAOaZ93hXzWP3V6iZj2o02G+vdhvgEKIprpL0XS2mZLJUWKle7paU4\nsJQ4VRyhI0PPqc85r5pXu5hyRVHqgBO5WyGEaJ/W8lZKURTx+OOPexs9O6H++U/ZLDjbEczhPjET\npB+87LKNfPPN9C5nyHcX7+bZn5/l84WyvF9tqMZkM9EjrEeHHI/FIgvcY8Y0Q0c4xs8DMp9w7lz4\n4QeZGWmxwNtvU37lXaxarZCeDuvWQcowM8PmbcLUR83WqnQeuOAB7j7vbgBWfreSW5bcQowlhir/\nKpY/tJwFqraZJNlppNdTmfEVhV+tIGLzdiIratk3NI6Ka+Yz/Ob/Izk2+ZQ3YbbbsQpBiGPq5fx9\n+7i/Vy9mOF6wfKORxMDAdquEt8sSujuWolbLlZjUVESaiuLCUfS4ow8+/j4Im+DgdQcZ8sEQfPxP\n3zge1OmYuXdvfQRhWBjjwsNJ6AQVcJANgXW76/AN8yV0WFN0zaq14hvue0rj5/7aNcZSRoWFkebF\nUlosIQT6Q25pKU4sRRUrh/i0QVqKF1/pmnI2ej755JPeSvmJ5K2Udx7t2ye/c6dNk9uHDkFCwskr\n4F3lw6m4tpgFny9gy61yuIjBYqBCX0FSZNIprtl20mjkSsN330kKYOBAeOcdGBmVJ594f395JtSv\nH+zaVV8i37IFcd757D/kS3q69EoHD8oJnCNn7WFXyGI2Fa4lOTaZ+cnzUQ1WMaLbCNeX++KXF5Pc\nP5mYsBiq6qrIysni4Xsf7rDnoa3kxFLUmWpy1nzGos+OUnj+EKLSFjLh0ruIDos76fWrLRYsQtDN\nkUt9+5EjzIyO5ipHEorOZiO0A8fSt9nfnhNLcaal9OoFKhWF5jnE/2UcAT0kF579SDZJDyXhH9uy\nVQX3CnimXs/KYcOaGE4hRKcyoTa9De1WrQtHqd1eS1D/IHr/X2+6/6H7ad2mEIJ3MzIoHjoUdWUl\nWV4spdVqgKWoKxEW4WrSbA8spat873nVvNq70TOmmR/XCiEsnjgAT8tryjtOQsjp1c5R9D/9BKWl\ncNVVHXtcnpDFZmH0W6PZtWgXQX5BMptYk0P/6P4dfWgALF0KTzwhT4DuTF7PuFtG0WOYw3TPnAlv\nvCFdOkBtLYSHYzLVD/FJT5e/UqnkRU43hUPlh9iSv4XU5NQOq/p3mLKzMf38Ez+cH0d6ZjrpWekN\nsJTJvSfj53PiyLdikwmtzcZgB37yXF4eMX5+3O7gtTqbYfSojh3DdYbnwFIKI24g8pbxhM2S78Oi\nZUXEzIshqFfTEfMnkhAC1b59bNVqXU2Y48LDGR8eztyYGBf601lV/k05+c/nu3CUiEkR+Ee33jQ7\nsRQnHx7owFJUDizlrEKc2kguLEVdSfXaaoIHBxOb5sVSvGq92tuUHwd6A9WOH0UDJY7L7UKIXZ44\nEE/Ja8o7Tvv2wX33yTSPs0EXvnchH17xIX2j+gKyObNPZJ/O92H94YdUJI0hZMIwQkKQnNDVV8Ow\nYU12LSuTQ3zUavjxRxgy3MKwuT8TlrKNF694mM720NpVGg2sX49u9TfYvs/AVlfLD/1svP3nScwb\neilpyWknxVIKjEZyjEamOJaCviwvp9Bk4t5evdrrEXScrFaJpTiNeFUVRQPvJ3DGcGL/Nh3Cwqhc\nXUnIkBCC+wWf8GaEEOQajeyqq+PiqKhmM9N/0mhIDg7uNAiKu4y5Rmp+rsFcaibpAc+umpWYTC42\n3ImlONNSBnuxlFPKhaWoJR/ujqXEpsYS0P3MJ6t6dW6qvU3528BKIcQax/Ys4EpgOfCyEOI8TxyI\np+Q15e0ni0WGcnz5JQQHy0q5EPW48umovZfx3KuV1355LXeMu4PpfeX9F2gLSAxPxEfp2KqTTicb\nX7/7TiYSfnrhq3Iakkold/jySxldM2RIk+sKAfv311fDDx6EqbOqSZyWQVmUmo0FaxgQMwBVsoq/\nT/k7vj6nv0zbVZdgnVhKj4vnk+tTR0Y/C5YZ0xl1yR+ZM2juCZNjikwmftJouLa7xA52aLVsqqnh\nwaSOQ5jORK1+/RphKSWhl2MbNo6eT4yF8eOp/U2HX5Qfwf1PbMIB1lVVsV6jcTVhBvj4MD48nBcH\nDmRA8Mmv29Gym+wULy92JaPYTXYiL4wkemY0Pe9seUZ8cxJC8FtdnWuIT5bBwOzoaFRxccyJiWmA\npXTVv722lt1sR7NJ4+LDXViKKpao6Z0nLcX7+nVttfdEz4lCiNudG0KIHxRFWSKEWKSIR9NbAAAg\nAElEQVQoivfU8hzTN9/ABRfIKEN/f/jHP+S/IJs2O3uxxt2E/23t3xgWP4wbR98IwIuzXyQ+JN61\nb6+IDqpwms2YKut4Xx3Dd9/ByHVL6N/Lwuh7H5Y+vG5aQzB/QcOmSpMJNm6sL1oqivTvTz4psZQp\n/5sNYT1QJat4df4SEsMT2/XhdZiEkI0NUVHo46P4MftH1JlqVmWtIjwgnLSXrkE1eD6PnwBLqbRY\neKuoiEcd42EFUGQ2u34/ISKCCe00Wr2jJI4eRXG8scq3+FCTMJOBf50EzzxDlD0eFKC3xFHCx9bn\n0gshsArRLFbxu05HgKJwT8+enaoJsyVS/BTqdsuKa9/H+xI8KPiMKtYGm40NzWApz/bv78VSWihz\nhZmqjKoGWEqcKo7hXw33YiledXq1pFK+FlgHfIr8yL0KmVk+G9ghhBjb1gfZGnnTVzwrq1VWZ51e\n48UXZXrK0KEde1wtlbsJf2XbK2iMGv457Z8AVOgriAyMPO0pih5TSQkUF8uoFIA338SeX8ii0qe4\n5BKYO1FDZI/gk2ZbN8ZShg63MifVxIL5oQwd2vBkyS7sHV79bzeVlMj4mHXrsP3wPXosvHjdAF6I\nOcy4xHEuPnxQbOOAdjDZ7dyVmcm7gwejKApGm423iou571zAURyy1Zrw/W07qNVoPj9MfvFURlx/\nGFQqLOOmIwKDCYhvWJsRQpBnMrGrtpadjur3rtpanuzXj7tbMWG0o2XT2dD+Wt+UmfJeimtYkSdV\nbDKxylEN36DRMNqLpbRKQgj0B2VaSoW6At0+nRdL8apd1CHpK4qixAOPA5MdP/oFeBKoAXoLIY56\n4kA8JS++4ln9+9/SCz70UEcfScvkbsK/OvQVGVkZvD3/bQA0Rg3BfsEdP7o+Jwe2bsW04A/89BOM\nr9tIzJGt8MgjLb4JISTD76yGHzoE02Zr6DVtDaVRajYUZPD0RU9z14S72vCBdG7Z316G/a8PkTWy\nJ98k6fiyp5bB589DNXg+cwbOISqoYQyQEILL9+/n/SFDXINlPisr44q4uHOiQimEwFxiJjDECN9/\nj+6jzRxaPZbxI/4LKhX2WamI0WPxDTv5SewLeXksKShgvFsE4bjwcBK7SAW84JUCSj8qRbdfR9jo\nMFdTZtRFUfiGnDnu4MRSnNVwdyxlbkwMMd60lFPKhaU4pmkKa+fEUrw6N+QdHnQSeU35mWn3bvjk\nEzniHmSscHumtLWWrXOv+m4v3M5jGx5jzR/XAKAz6/BRfAj272Au9fhx+O9/YckSKith04psyj5e\nx/8dW8TQofDqq3KQ0qnkxFKcfLgTSxk0fTtfaR9mZ/EOpvaZiipZRVpyWrvjNx3CRdrtUFgIDo5b\nb9G7sJQf96sJColg3pD5pCWnudJS3E/cFuzfz5N9+zI8LAyAX2pqGBcWRlAHRhO2l5wVxtBhoRy+\nejtfZHzLNN00JgbfhP+0MYg0Fcydh9K3t2v/PJPJVf3uHhDQ7KqB1W7HrwucxNitdtcQHndVranC\nJ8iH8PPC8Q32zPvA0GiIT5CPD6rYWNcQnzM96TsXmGRzhZmq1RJLqVpbRUhKCHGqOGJVsYSO6NpY\nyrnw+p3NalemXFGUwcBDQF+3/YUQYoYnDsCrjpXBAN9+C9dcI7f7928YYdjZvIm7CS/UFjLzg5kc\nvPsgAKN7jObLq7507Rsa0HQYR5vJETMISJZEpYJt2+R2XBxccgn//a9k8GfM6M/8Py8iMxUcEdUn\nVFmZnHrqxFKGD5c3vWoVLizluKYbvUvu45L+l7TvY+4oHT8uO1/XroX16zGOGcH7i69BnalmU+4m\nxieOR5Ws4q+L/kr/mIFY7HaXyb7u4EH+0L07qY6M9v8MGECSWwV3cmRkRzyidpN2p5awEWH4+Nrh\nly0cubaSkWFPkn98EeGWeOwEkDkrg2FfjcL5DXNQp+MvR4+yq7YWf0cT5riwMMY4TmQaqzMacmfy\nRs3mGjSbJI6SeGcifR7t02TfmNnNpQC3Xu5YykY3LGXtyJFeLKUFcp40Okfa6/bpiL5YYimDXh3k\nxVK8OivVEnzld+ANYDdgc/xYdLYoRKe8lfJTq64OQkJkSorFAvfcIwu5nXHV1Ga34aP4oCgKZpuZ\nfi/349i9x1xZ4VqTlsigdjZSQsAvv8jxpIoiS9h9+kB+fv2AnuxsGDCgwdUqKyE0FIJOgqU6sRRn\nNfzQIZg+W0uv6WuwJmzhjUuXnrtf5gYDjB6N0GiomjyGTYMCWRaTzXaliLkD55KWnMaUfjMJ9A8n\nzjGg58+ZmYwLD+fmhARADvCJ8vM7Z55D7TYtwQOD5UCemhoOzttCv/hvCf55JSQl8Vb//rxSUsId\neX9iZEFPcuIqeG3Ie9x+y1XccdNNgGxw3VJT06UQFHdVqCs4fPNh/CL8iJwS6cJRgpPPrCmzsdyx\nFHVlJccMBmbHxJAWG+vFUloou9mO5ie3tBQvluJVF1B7RyLuEkKM88SdtYe8pvzUuvBCePNNWXXt\nbLILO0IIVzTfiDdGoL5W7coK15q0RAR2QMLF8uVw5ZX11fC0NPjgA9cM+9oaO2vW+vDdd3KA0urV\nLb9pkwk2bKjnw319YeqlOYSOUXNYqNlRtI3JvSejSlaxaNyikw6sOStkscgzRrdlGr1Fz7rsdexc\n/yHv1m0mPDgSVbKKqQPTGNh9LENC5evyQl4eforC/Q6cpaugFJ6SdpsW/3h/Vwxh9l27iA/eQfje\nL2DHDpgyBVQqaubOZUNICGurqvh69Wpqt/zOAxU38lniJzx9rYoFqald6sTFprNhzDUSOrTpSpGl\n0oLdaCewp+dPKJxYirqigvTKSoJ9fV1Nmhd601JaJHN5fVrK2YaleHVuqL1N+RNAOfAVYHL+XAhR\n5YkD8LS8pryp3ngDEhNlpjjIRBW/TujrFqkX8Yn6E4aeN5Q1f1xDVFAUdeY6wgKaXyZvUz39tGR6\nnFMwn3kGbr5Zjqt3yGKBt9+W+eFbtsjCuXMi5qmiqktLG6aljBghr5eWJrGUeR/PpUdYD+Ynz2fm\ngJkd8xy0UqfNRQoBhw/XIymbNsG6dRQMTmBV5qoGWMr0QZczuNdFXN1bnlF+U17OQb3eFVN4rkm7\nUwtAxHh5olr4Wj4hlmyiixzMk0Yj31QqFVx8MYSGYheCPr/+ypCQEGZGR8O2bTz15ZfEaDRURUay\n/IYbWJCa2pEP65SyVFqo+bnGlYyi268jdl4sw75oOjDL0ypuNMRnjDMtJS6O5GDPVt9bqq7EJDfA\nUtSV6PbXYymx887NtJSu9Pp51VTtnVN+EzKSt3H+Rj9PHIBXnldeHuTmyqIYyMq4e6x1ZzLkz2x+\nhoSwBG4eczOZlZnUmevYXridRepFfL7w87Yzo0JIV+3AHHjwQZgzR46kB9l56c7MPvpok5vw84Mj\nR+D22+GLL+qL6Ce6OyeWolZLDzpjTh0Xq4wsWxZHXFzD/TOuyzjDB9hF9Mor8J//gK8v4pJLyJ43\nkZW3pvDZ7jvI3ZDLRYMuZ9Dg2/jwig+JCopid20t6spK19Uvi4/nsg48/PZW3e91mApNxM6VTLy5\n2Ax1Oji6GtLT6ZmRAX36IFQqDqxYQc/Ro4luhJz4KArHL7gAX4d5XKxWs/z664kJCaFKrycrN7fd\nH1drZK21sm3gNsInhBM5JZL+z/Un4vwIjzVlNpYQgj1uQ3ycWMrV3bqxPCXFi6W0QC4sxTFNU9gk\nltLnsT5eLMUrr9zkTV85S6TTSV4Z5LTrHTvg3ns79pia00/HfyKzMpPbx8l5VAXaAqKDogkNCGXe\nR/PIOJrB+MTxrL1+bZPIujNSaamMkkl0DMr585+l8b7lFrl97JjsumzkrA0GWL8eRo2C1sZTG40N\n01J8fWH6pXmEjlVzRKjZWvgLS2YtYdG4RWf++LqoDLu2saV8N5+adrHq6GrCQrqTMGgRTw0axqSk\nSVRYbLxZVMQT/c7NGoA+U0/NlhoSbpIrNNodWow5RrqN1daf4e3cCVOmUHT55aybNIm1isK66mqC\nfHz4aMgQJnWx5lVhl02Zms0aelzfA9/QpoZN2ASKb9tVpL1YypnLXO5IS0mXWErokFBZDU/zYile\nnV1q90hERVGGA0MBV4uaEOJ/njgAT+tcNOVFRXJl+uDBzjdRs6SuhM25m1k4bCEAR6uOUqYrY1LS\npCb7aowaFqkXsUy17MwN+cGDoNXK8aMgK7KhoXDrrXLbbK6vkjdSaWl94sn69TB6NLzwAkyYcOq7\ndV43Pb0hlpI0aSvPHbiTQm0h8wbNQ5WsYvbA2R3Dx7eBhBA8/8gj/HXxYvlla7fDnj31SMqgQbKR\nAXkilp6ZTnpmOj/l/kzE8H/wQKwvl6ao6BPVnxfy83m4d+9z8kvbVGii5P0SVyqI4biBms019Lg2\nTjJSTiNeU9MAS3m6vJwXCwqYER3NJY5LZx9R767aPbVU/1gtx9X/UoNfpGzK7P9sfwJ7tE9zqRNL\ncaaluGMpg0NC2uUYurKEEOgO6FxNml4sxatzRR3BlE8DhgGrgLnAz0KIKz1xAJ7WuTDRUwi46SZ4\n6SVXn+HJPGa7yma3sadkD+MTxwNQVFvEit9W8OiUpvhHczpttm7nTti/Xz4xII1gWRlcd12rbubN\nN+Hhh2HWLJg/H+bOBUd6XrMSAn7/vb5J8/BheV2VSl7XiaWU1pWSVZXFxF4TXU2sZ5O+X7mSd264\ngduXLGH2Tz/JM5LYWJg5E/slF7NncCTfFW9EnanmQOx8VL75LBw0i9kDZ6PWGFkYH39OZIM3lrXW\nSvbfskl+I9m1Xf5luayMazTw/ffyjfX991j79aPs8stJnD1brvK4VWu1Viuhvr4uJOV01JFc67G/\nHcOmtxE1JYrICyPbpCmzsZxYirqyEnVFBdlGI7NjYlDFxjKni6WldNRrZzc1SkuxSywlThVH1PQo\nfAK9KwotkZcp75rqqIme+4FRwG4hxChFUboDHwkhLvHEAXhaZ2ulfOtW2TzoRCjWroVJk+qRlY6U\nwWIgyC8IRVEwWU3M+WgOa/64hgDf1p8lnPTDyW6vNyI7d8L//icr4ACZmTKGcM6cFt2PEM2vKtTU\nyMjCkyW/GY31aSnp6ZItnz6/gLCxakqDNvPxlR+eM2PsP3zrLT595RVGWSxckpXFugED2GswcMWf\n7iDuytGoj6j5yNyL7jU/s7D3GFTJKszhQ7ggMprQc9CECyE4ePVBUv6Xgm+QL0IIyj4uo9u13VB8\nFMjKcvFOYudOjlx2GetSU1nbvz8/GY1cER/PeykpbXJsbWUM3Jsyo6ZEEXdp3Kmv1EYy2Gz8WF3t\natQMccNSJndhLKU9TZ0TS6lQV1C9rroeS1HFEjrci6WcjrymvGurvSvlO4QQExRF2QXMALTAYSHE\nYE8cgKd1Nplyo7E+0/rFF+G882TCR2fT+GXj+XjBxyTHJnvuRm022bHqZIkPHJD8t3Mgj0YDBQWt\nynXUaCAjQ6alFBbKkI+WqjHSMnIkjJm3G+vAb/m1Sk1uTS5zB85FlaxiwdAFZ29sYXm5fBK//x7e\neQcRHEzGypU8cuAA0VFR5AgbxmgLWuN6JoXYUCWrGNJ7NlO6JxNyDppwgEM3HKLvk30J7idxkqo1\nVUROi5TNbVarzLx3LrVotZCWRoFKxcTYWBRFYaYDR7k4OppunWE5rAWq3VNL0VtF1GyuwZRvImJi\nBJFTIom/PJ7QYe1bSShqNMRnbFgYqrg40mJjvVhKC+TCUhwj7XUHdERfEk1sWiyxqbEEdOsa70mv\nvGortbcpfx34O3A18CCgA/YIIW72xAF4WmeLKX/nHTk4ZsmSjj6Spnpk3SNMTJrI/MHzATDbzKdV\nFW8gs1kysmaznGz08stw/fXw66/y9zabDPRu5ZeozSYHI6nVsvl12jSJpaSm1vd8NicnluJEeI8c\naYql3PTNTcSHxKMarGJS0qSz14jv3SvPZFatgsOHqZszB/2cOcQtvJJdmkPctP5n8n3iqe0pl3EG\naYrZMnsOccHRHXzgHaOse7KIXxhP1FTZF6HdoSV0aGh9w6IblqJfv57gxEQUZx6mA0uxC0GWwdBh\nEXtnKu1OLTWba4iaGsX/s3fe4U1d9x9+r/deMsYYzDBg9iaYjcMGS2kSIEmTNKsNNEmTrqTNapLO\n5NdB0yYdGW3SJE1TSqZkwgwmhLD3ttmYZaxhecla5/fHkWRhjPGQh+C+z8MD15buPdKV8fee+57P\nN3ZYbL3t7FuLa0lLaS98Woo3LUXVUlRUrkibL/T0O3AvIEEIsTsQB28qiqLkAr8E9gEfCCHW1fOY\noCzKjx2TPvNvfyu3a2pkc8iOcDf186LPKbeXc9ug2wA4bj5OWmxay1u6r1snp/7DwuSMYUYGBRcv\nkguwYAEsWdLSoQMyzXDsWJg+veGa3quleNNSwsNh6k3nmDrDybzpmR3C2W8Pzj/zDBfDwhgyeTKV\nOSP5weFN7Ll4gFP7f09SVBL9dqZz+OZHOXTkFH0HDeJ7u3bx2BNPtPewWxUhhK9YPv7ccaL7RJN+\nTzoAVUVVRHSJICzO7yLNo6W4DAa2l5Wx6uabWT1qFNtiYzk0dixdO0CnzMbcQnc73FTsrJDt6tdb\nEE7BUMPQthlgA3i1FL1HS4m9RrSUxhII/cF+0Y4xXxbhqpbStqj6SnDT1jnlPoQQxwNx0BbgBsqB\nSKC4ncfSIlwuaQHk5Um3OT0dJk+u/X57/o4+XXaavSV7mdt3LgBdE7pS4/T1jaJXcjPj6erGDr7x\nhmzO07WrLMxHj5ZvyujR8Prrjd5tZSWsXi1Nljqd7QHZ9+dKnD9fm5byxRcwZKhgVN5ObvqDns0W\nAx+ajjKuy++JiHigiS82yDhyRN6lGDiQUzYbeysryfOscF390D18dGo3NScWs/6V9dzQ9Qa+ma1D\ne/96+qTI5koWh4ObL77HJ7m5JHmz3q8h3E63b7a3+E/FOC1Oej7fE4CMhzMIS6z9rzSmb4y8yFy3\nrvYKz2rlp88+yxs/+xldY2KYodHwRHIykxMTiesAjQOEELz7+rtMmTKl3uLLYXGwf/5+yreUE9Uz\nisRJiaTdkUbixPaLWzzrl5ayzk9LWZuZSbaqpVwVIQSV+/zSUrxaik5D9l+zVS1FRaUdaJecckVR\n/gnkASVCiCF+X58NvAyEAm8KIf6vzvMUIYRQFCUNWCyEuLuefXfYmXKXS/4dGir1iHvugb/8BRLa\nORXP6XZy8OJBhnSWp+JQ6SGWFS3jR+N+1LIdl5fL4sQbEbNwofTCvTGFdbFY5GNef/3Sbkf1cPZs\nrYa7bp2MK/z1r6+8ay9CSBvD+9zCwlotJXnYBhatup3o8Gh02Tp02Tomdp9IeOg1eLvbboevvgKD\ngeING/hw4EC+P2YMPPQQ+ysqePPEHuIvLkdfqOd02Wnm9JW+/Kzes0iMCq7c6+bgqnT5dJML/7mA\neY2Z/m/KBZZOq5OQqBBCIurMvprNsHw5wmBAWb4cevasbfE6YgQ7KytJj4igSweYFa+LYamB9x54\njztfuRPdPbrLCnMhBKbPTSSMSyA8uX1+HoQQ7PA28fFoKbNTUtCqWkqjuUxLEUK2tNdqVC1FRaWZ\ntJu+EigURZkEVADveItyRVFCgcPAdOAMsBX4JjAaGAn8Tghx1vPYCGQCzIJ69t1hi/Kbb4Yf/AA6\nwl2qGmcNkWGyODBVm5i/ZD5r7lnTsluUbjdUVNReZfz0p3JFZBNjCa/GP/8Jjz8ug1Zuukn+3VAN\nX1dLiYiobWk/aVJtlKTFZuF8xXn6afpd07dqjdu28eRHH/HGmjWQl4dp7lze75RCZvVe9IV68ovy\nSY5KRpetQ5utZVzmuGvXl0cWe45SBxGd5AfBss7Cqd+eYmi+1DLcNW6UMKX+ZjWFhVTn5/PVvn2s\njolh1cSJ3BQWxgtjx8o7QB2cf/7xn7yz+B16lvfk3rJ7+YfyD872Ocs9P76H+xbd197Do8rl4gs/\nLSXOo6VorxMtJRDYS+wYl8nZcPNqM7GDYuUiTVVLUVEJCG1SlCuKktLQE4UQphYdWFF6Anq/onwc\n8LwQYrZn+0nPcV7ye84twCwgCfirEOKy/IyOVJR/9JGcHV/guXTw77rZnggh6PtKXzY8sIHOcZ1b\ntjP/gPRXX4Vz5+SUdTPHdddd3+Xf//6750Nef2xhZaU8ZEMTY14tRa+XBfmQoYLReXsQffXsryzg\n87s+vzZnwD0IIVAAFAWH283kXbv4cvhwwkNCcNlsfFZczKjUCPKL8tEX6vnq1FeM6ToGbbYWXbaO\n3in1eEBXIVi8SOEW2E7YiM6SaSjVR6s5cOcBRm0eJb/vEhBC/cWKNy1Fr2f77t389BvfYHO/fgxT\nFKZ3786Mzp0ZEx8fFMXiofsPUbK0hD199rDlxBZGWkayJ3MPty6+lbx5ee1WrNXVUkbFx6P1+OGq\nllI//j97Pi3Fm5ZyoFZL0cxV01I6IsHyf6dK/bSVU74DaKi6DXTf667Aab/tYiDH/wFCiI+BjwN8\n3IBhMsmUjnHj5HafPpcWle1ZkD+S/wh3DrmTCd0noCgK+x7eR1RY1NWfWBf/Snn1almIf/KJ3H74\n4RatTP3wwxV8/LGR739/JefOzeLIEdkUsi71vY9eLcU7G+7VUgbMXYPmno9YfcrAuZAwdLE6nhrx\n1DWXI17udBIdEkJYRQWsWsWAsDAKnnmG9K+/Jjwhgb9nZwOCLWe2oD+sx1Bk8Gkp9w2/j//M+881\nq6UIIajYWUHciDgURcFtc7Pvln2M3jEaJVQhKiuKkZtG+h5/2Yy4R0tBr4cVK2RMp1ZL+m9+w2M9\ne5KbnExCB/DC68PtcOOucl/ivHvp+YueZL+WjfUzK1898BXLeywn0ZSIoihtWpB7tRRvS3uvlnJn\nWhrv9O9PsqqlXBW33Y1phcwONxqMAKTqUun5854kTVG1FBWVYKFd9BWod6Z8HjBbCPGgZ/tuIEcI\n8WgT9yvuvfdeevbsCUBSUhLDhw/3XYUWFBQABGx7zZoCQkPl9u7d8NJLBSxaFLj9N3fb3NlMTHgM\nkcVSUUkfnE5mQiZbv97a/P0fP07BrFnw+uty2+Gg4MsvITS0ReP97LNVvP/+bqzWYVRXTycq6h+k\npFj44Q/vYPTobld8vs0GL79cwMaNsHNnLhERMHx4AePHw/e+J7dv/93tJEYl8oM7fsCA1AGsW7eu\nTd7/1t7uNmYMqeHh7NqwAYDnqqv5yzvvYPzkExg8mOH33kvSnDl8fqyQ7ee2cyLpBPlF+UScimB8\n5ngeue0RxnYby1dfftUhXk+gt0dEjSBuaBzrt6xHCEHyr5MZ9N9BbNi7oVHPH5qeztoNG/jXtm0c\nj4xkz9GjKDodBcnJ0KlTu7++K22v/WIt1ceqGVI2BPMXZgoKCki/J53b/nbbFZ//8b8/Zubsmcy9\ndS4v/eIlLpy5wMuvv9yq4x0zaRJrzGZeX7aMjVYrmhtuQKfR0O3QIQbHxDB96tQO8X525G17iR39\nYj3Wr6302d2H2EGxFA4qJHFcIrPvn42iKB1qvOq2un2tbHv/feLECQD+9a9/ta1TrihKMtAX8E2t\n1qeONOnAlxflY4EX/PSVpwB33cWejdhvm+krFRUwZIiclW3vyZxj5mOcKjtFbs9cADae3kh0eDTD\n04c3f6c1NZCTIxv2REZKZ9xsbrjvfDMQQnDnnctZs+ZLLl58kczMp1i8eArz5s26bMaurpYydJhg\nTN5+puaGMXdM/3p1l2uBrVYrmvBwsqKlcvG9wkK+2bkzExLl7LZ4+22U5GSYNo3TLjOGQsMlWorX\nD2+OlhIMlH1dRlRWFJHp8iL08IOHyXwik5jsRuoODgdiwwaeLyxkeXg4h9LTmWg2M0OjYfqoUQz2\nNPLpyJhWmzj4zYOEJYeRPC2ZpGlJJN+YTLimY8w0n/Fr4uPVUrx+uKqlXB0hBJV7/dJSDlSSPMPT\nxEfVUlRU2o02jURUFOVB4DEgE9gJjAU2Irt7BpJtQF9PsX4W2azomwE+Rot5+ml45BG5hisuTioT\n7VGQO91OjpmP+bpoXqy8yMGLB31F+bjMcc3b8a23ytb13brJQnzp0lpnPCSk2QV5SYlMOxw16vIm\nnIqiMG+eQn6+jR49FmAydfXdQvfXUvR6Gfc8baad/nO/JO3ez1h9ysCHws3I6F+jKK3Tfrw9WGex\nEK4ojPcU3VuLi+m/axdZyckwZw6vZmf7HusWbrbNGIj+sB79e89TbC1uFy2loKDAN6PQ2pRtKiMs\nKYzY/tJlMn9hJiUsxVeU93ujEQ2HzWb5oTQYYPlylKwsuixcyO8GDmTc6NFEdNAOpM5yJ2Hxl//X\nHT86nlE7RhGV2QwtjcCfP7e3iU9pKXqjkeOqltJk3DVuLAWWq2opBQUF5Kbltt9AVVpEW/7fqdKx\naYwI+X3gBmCjEOJGRVY+L7bkoIqi/AeYAmgURTkNPCeEeEtRlO8BK5CRiP8QQhxszv5feOEFcnNz\nA/IhLyqSNWmPHnJ73LhLM8TbMs7Q4XL4FieeKjvFD1f8kPw78wHI6ZZDTrechp5eP889J2NIxoyp\n3e7Uqfb7ffo0a6xCwN69tdGDBw/K5j0DB9b/+KKi07z11mxSUiI4f96OwXCa1avl8yMjZVrKSy9B\naM8N3Pw/LcUh/dBpdHw6/lMGpw3u8LOYV+MLs5nzdjt3dpYLb21OJ67CQuky5+fz8PHjUpJfuBCA\nSnslq46tQn9YpqWkRKegy9bx6txXGddtHKEhHbOgbC7WbVZEjSBxgrzAqD5cTWS3SF9R3vPZnlfd\nxymbjdWHDrH62DEWffopUz7+GHJz5Yfr97+HjAweasXX0FycZU4sBRbMa8yY15gRDsGYw2Mu+8yH\nJ4UTntS+hW6VXxOffL+0lMV9+jAhIYGwkJB2HV8wYC/xNPHRGzGv8aSl6DQMMRQWnvgAACAASURB\nVAwhdpCalqKi0lEoKCi4RGkJBFfVVxRF2SaEGK0oyi5grBDCpijKASHEFcqr9iUQ+orLJbPEQU4a\n9+gB3/hGAAbXAuwuO73/3JtDjxxqWSfN996Ts91z5sjtLVvkwjX/QjwAvPGGLKL9owcbimc+dw4M\nBsHvXnmK8ydeZPhwxRfx3K9f7drSKkcV5TXlLU+NaWe+tFhYYzbz815yvfT+ykosTqdPR2HdOrlw\nNi9PvoHjx3Oq8qxPS9lwasM1raVU7K2g+mg1nW6Wn0vTKhPuajepN6U2aT9bTCb+tWcPqysqMLvd\nTNu3j+lhYegGDSLtxhsbbvHazgi3YNeUXVTsqiBhbILUUaYlEz8yvv54xnbijDctpbSUL8vKVC2l\nifi0FE92eOVBmZaSqkslZW6KL6pTRUWlY9KmOeWKonwC3I+cMZ8GmIEwIcTcQAwg0LS0KDcYZHf3\nd94J4KCayb2f3MuTE55kQKcBgJwdbXJBvn69rHhvkwu92LpVdtTsHxjVo7y8tkGnP06nvLC50qSO\nELBrV21aSlER9B/2X3bYH2DKtBs5n3GKTd/ZREx48P5St7vdRHhmBreXl/Orkyf52OPulNjtXKip\nYUhpqbwoqosQuBFsPbMVfaEeQ6GBYmsxc/vORZetY2bvmddUWkrVkSrMq8x0fUhme1fsrqCqsIq0\nBWlN35lXS9Hr+bykhH0jRjAjPZ2hN95IyMiRV/5QthNupxsEhIRfPotcvr2cmEExhEZ1nDsfbiHY\nUV7uyw4/4dFSdBoNs1JSVC2lEbhr3JjXmn1+uBKi+FraJ01W01JUVIKJdmsepChKLpAALBdC2AMx\ngEDT1KL84kX44x9rW7FXV8u/Pevp2pT3975Pr6RePh98z4U99Enp07TC9OhR+Ppr+Na35PaePVBa\nClMDswTA7YYdO2q1lKoqOHCgcXVOdbVsZW8wyD9RUXImvNC2iC/Xf0BlSgXuXm405zQkWhL5yaKf\nsOiBRQEZd2vjFoJTNhs9PR+c49XVaPfuZb9HC7K5XFicTtKFkLPg+fnyTXC5pNvjmVGssFew6ugq\nDIUG8ovy0cRoapv4dHAtpSleZM35Gs68eoasX2XJ7bM1WNZa6HxX4++ACCHYX1nJKrMZe0kJP127\nVr6nO3bUail5eZCR0YxX03oIIag6UOXTUcq+LGPg/waSMr3B1hCtTkPnz19LMRiNJISGoktNlU18\nVC2lUdgv+DXxWWMmdrDUUjRaTYu1FNVJDm7U8xfctPVCz1eA/wghvhZCFATioK1NQ065ELK7+IQJ\nct1icrLUpr3x221ZjBcaC7HYLIzpKgu3tNg04iNrp52Hdh569Z2YzbIQ8RbhoaFymtq3k0bsoxEI\nIW2KTz+FxERpVCxeDOPHN1yQnzt3aVrK8OGyVlq1qlZL+e1XvcnseyefrfqMs5wlJiyG/3vm/5in\nmxeQsbcGbiFYa7EwNSkJRVGodrvR7t3LnhtuIERR6BkVxa7Ro32PjwoNJf3RR+Hf/5aRPXl5Mt99\nyBBOWU9j2FqblpLTNQddto6nJz19zWgprmoXhd8tpP/b/VEUhbDEsEuSUSIzIhtVkFe5XCy9eJFV\nRiOrS0qIqapi+vbt3LRli1yc/MQT8gK0Pa6qG8GZv5/h5M9PEhIVQtK0JNLuSKPf6/2I6NzxFIUr\naSlPZGbSV9VSroq/llKqL6XqUBUpM1JI/UYq2a9lq1qKikqQ015O+X3AbUB/4CPgAyHEtoCOIoBc\naabc7a7ta3PHHfCHP7R9F2yHy0GxtZheyVJXWHl0JWfLz3Lf8PsavxOnEz78EG6/XW6Xl8sOmi+9\n1PDzAsB//yvTUxpa++mvpej1cOQITJ9tI+vGdUybmMTMgfUvRl362VIe+MMDZCZmcrrsNG89/laH\nK8rfO3+eWzp1IjY0FCEEt+zbxzsDBjS+cczWrZCVhTsl2ael6Av1nLGeuea0FCEE+xfsp/8/+xOW\nIN+fix9eRPMNDSFhzZxVNZmoXLGCB6qqmLZyJdMtFrImTJBXiCNGdCgtxe101/s6qwqrUMIUXzfR\njoS/lqI3Gjnpp6XMTkkhSdVSrorL5sJSYPH54ZdoKVOSCIlQ7yioqFxrtIu+oiiKBrgVGVPYXQjR\nvFiOVqa+ovyRR2DKlFqtui1xuV0+5WDrma38YeMf+GD+B03bydq1MvYlKkpWvQ8+KFegBnC2yuWS\nceQGA8ydCxMnNv65Xi3F64dHR8ONN50jcdQyChUDBSe/YEjaEB4f/zg397+53n28+KcXyc7K5lbt\nrXxk+Iii40U8+diTAXp1zeOvZ86Qp9HQI0pGzD1//DiLMjLIqG/Fqtksuz3m58vbBw9dmuPh1VL0\nhTItJTUmFV22Dl22jrHdxnZoLaUxHFp4CONnRmKyYxj82WDCk8KxrLMQPyae0OjGvzaH283W8nJW\nmc38oFs3Eo8erb3C27kTbrxRFuEdTEtxVjgp+7LMp6TE9I9h0AeD2ntYV6XK5WK12Yyhjpai02gY\nr2opjcJ+wZOWYrhUS0nVpRIzMEZNS1FRucZpr6I8BzljfjNwQAihC8QAAo2iKGLdOsHZs3JGHMBo\nlJpKW/9+sdZYGfb3YRx59EjTiq6iIkhNlYMGWLQInnyy/gWBLRmfFVaulPXOsmXQpYusd+6/H/r2\nbfi5Mi1F/lm7Vk5UepNWzkeu45YlNzOz90y0fbXM6TuH1JjGpWa0p1u3+PRpxiYk+LLB379wgYmJ\niXSPukLu87lz8O67shDfuRMmT5bFok4H3bpxquyUr6X9hlMbyOmW4/PDs5Kz2vCVtQ6nF58mflQ8\nSVOS2Jm7k3Xr1jGc4XRa0IlBSxpfkBZWVbHCZGKV2cyXFgu9nE5mHD3K43/7G2kXLsgPlU7XIbUU\n20kbB+46QMWuCuJHx5M8LVkmpNwQX+/CzY5Asc1Gvsnk01JGx8ej1WhI27+fu2fPbu/hdXiEEFTu\nkU18/LUUjU5Dypz2SUtRneTgRj1/wU1bO+W/BW4BjgEfAL8UQlgCcfDW4pln4Cc/qd0OcAPKBpm/\nZD6vzn2V9Lh0EiIT2P3d3VcvyMvKwOGQhTjA3/4GN98sizyA115rlbHq9TIhUauFX/yiNou9PoSQ\ndad3gefRozB9lp3bbovgrbcgxW+NWm/XeEoeL/FlqnckhBC+mavfnzpFekQEd6enAzAuIYFMv1lw\nb2b4FSkpgRMn5IftxhtxR0ex5cwWDIV/R2/Qc7b8LHP7zuWB4Q/w3/n/JSGyDUPtWwHTKhPCLtDk\nyR+oxImJRGTIAiQkRhagcaPjyH49+4r7qI83jx/HdOIEd379Nf/497/p1KmTLMLffFMuQugAM43+\nnxt/wjuH0/O5niROTCQ0pmPe7ahPS5mTksLdnTvz3oABPi2l4OjRdh5px+UyLSVUaim9ftlL1VJU\nVFQCRmOc8kXAh0KI0rYZUstQFEWAYMECGW3Y2vxz5z/J6ZrDoDQ5M7jlzBaGdh5KVFgDXfVcLjlN\n7Z0J/+UvpeD+wAMBH5/DIb3uAQOa/tz6tJQpN50ibmQ+h4WeLWc3c/qHpztsbKFbCMpdLhI9zvcr\nxcWUOBz80nPH4aTNRlxoKJqGXNnTp+HLL+Guu+r9doW9gpVHV/rSUq4lLaXqSBVVh6pI1cqLRetm\nK8JZ28DHH4fZwdJJnzB//c2EJ1/6fla6XHxpsRAfGsrEpCR5hXf4cO0Hy6uleNNSunRpk9fXEEII\nqouqL0lIGXN4zGWvraPi1VK8TXwSw8LQajSqltIEfFqK3oj5CzOxQ2JJ1aWi0WpULUVFRcVHm8yU\nK4oywNNRcxvQXVGU7v7fF0LsCMQAWoMuXV7gnntygdyA7/vgxYM43U6GdB4CgCZac8mMsDdJ5TJs\nNumEgwxB379fdhEE+NnPAjpGo1E2gjQYpOY8YgSsXt24CUevlqLXQ0FBrZZy56u/Y8X59/jEeoa5\nMXO5P/s+/jP//Q5VkFc4nZy1230NS967cIGt5eW84nFx7k9PJ8qvGOlRn5bidMKmTVJJyc+Xb8js\n2TB/vq/70UnLydomPqc3MLbbWHTZOp6d/GxQaynOcifl28pJvlFeLLqr3djP1iafJuRceab/0w0r\nWDT4QyK+juEbc+awvaKCVSYTq81mtldUMCo2lkfKymr98Opq+cH6yU86nJZy7KljXPj3BYRLkDwt\nmdSbUunzcp8OX5AX22wyLcVoZL1HS9FpNPw0M5M+alrKVfFqKaX6Uox6I1WHq0iZmULqLalkv5FN\nRKqalqKiolJLm6avKIryhhDiQUVRCoDLHiSEuDGgIwkQiqIIs1mQlBSY/TlcDkoqS+iaIKNaluxf\nghCC2wff3vAT/eNeNmyQfsiKFXLbm78YYISAWbNkTdnY9XBeLcVbKx07Jveh08la1KulLNm/hK7x\nXVt99rcpbp3Z4WBbeTkzPIP8ymLhg5ISXs2W+sSVlIMGmTgRKipqO2mOGYNLga1nt6I/LNNSzlWc\nuyQtJVi1FOEWVB6oJG5wHCCzw088d4J+r/dr9D5ee/tt/vzuuziysigaOJC+Bw5gP3IER24ut8+b\nx4xDh5j0ySfELVsmY3u8Cw86iJZSH+YvzERkRBDTr2PPhrqFYLtfEx+vlqJLTWVWcnKT01KuR6/V\nZXNhWWupbeITVqeJT5BoKdfjubuWUM9fcNNmCz0VRQkBxgkhNgTiYG1BSzt6AriFmxBF/mf8edHn\nfHLoE17TNcHrPn9eVsXerjoul6x+Gxud1wK2bJEx2A1NPFZXw5o1tQs1Y2Jg0k1HiR5uYPrI3tw8\nUNvq47wSDf3nVOZ08v6FCzzkybI8ZbPxx+Ji/thQRmN9CAF2u2/m+xIqKyE21qel6Av1LCtaRqeY\nTr5FmsGspTgsDsISwlBCFNx2N7tydzF87fAmdxB0ut3srqxkZFwcSw0Gfvzxx5weOpTM7dtZHB3N\nvIMHUfbsufTqsJ21FFe1i7INZVjWWDCvMdP5rs50+363dh1TU6n0S0vxainelvYt1VKul8Kg5nwN\npmWmy7UUnYaYAR37QuxKXC/n7lpFPX/BTZumryiKsksIMTwQB2sLWlqUF1uLmfvvuez+7u7G/+fs\ncsGwYbBxY23PeYuFgE3XeygpkSkpBgPce6+cdGwsZ8/WNvEpKIDhI50MmrMBe08DX5casNgs5PXN\n44ERDzA+c3xAx91c7G43PzpyhFf69kVRFGwuF78+dYpf9OzZ9F+cVVVSkPdqKY8+KhvN+HHSctLX\n0t5fSwnmtBQhBAhQQuT7tX3Mdga8N+CSxj2NxeRwsNxkwmA0stxkond0NF8NHoz+j3/kgU2byCwt\n5XRiIm+FhTFv0SJZkHcALcWy3sKJ509QvrWc2KGxvoSUhLEJQdHOvK6WcoMnLUWn0ahaSiO4kpbi\nS0tRtRQVFZUW0NZF+e+BTcjFni2bgm4DmlqUu4Wbmz+4mf/M+w+xEbEIIbDYLCRHJzf8xNtug1/9\nCjyqBKdOQWZmwG/JHzsG778vC/FDh2DGDDnxqNU2nCpzNS1lj7WAH6/8Mdq+WrTZWkZljPLdHWgv\nFh46xEelpYyIi+N/gwaRFB7OW+fOcVfnzkQ0dwZw1y4Zx7N+PYwcKWds8/JgwABcwu1JSzFcU1qK\nPwfvOUineZ1I/YZcrCncwlegN4U7DxzAYDRyY1IS2qgo5m7dStfPPoMVK3gxI4PsMWO49bHH+Ojs\nWYpOnuTJhx8O9EtpNlVHqqg+XE3i5ETC4lv/blVL8ddS9EYjp1qopVyP+LQUb1pKuOJraR9MWoqK\nikrHp62L8gogBnABNs+XhRCiQ1YsjSnK/7b1b+Rl59E9Ua5d/fLkl4ztNpaI0AZmTH7xCxlR6L3F\ndOAAZGXVLt5sJZYvl3+0Wnn4iAaG6NVSvKEWMbGCyTcd51vaLCZMgI74u/zZY8e4u3Nn+sfGkrtT\nZl0zfDgLOnViyaAANF85eVJ2RZo5E5KSKK8pZ9WxVZdpKbp+OnK65gStluKl+NViALp9T2oZzjIn\noQmhLbslLwQH9u2j14oVRH/2GezeXZuWMneuT0tpj1uw1SeqfTqK/YKd4WuC5qbeJXi1FH1pKfkm\nE0keLUWn0TCujdJSgv0Wes35Gkz5Jkr1pVjWWogbGodGqwlqLaWxBPu5u95Rz19w02Y55R6nfFYw\nOeX1sffCXmLCY+id0huAhMgE3MLt+/7kHpMvf9IHH8gqdp6n1fs3vnHpismBAwM2vrNnZZ0zZ87l\n35s9W/5p6LnetJR162D4qBoGzP6Sab83sOGigTVuF69MOEB4B0lJ+ay0lPSICMYkyGu6acnJvkjC\nGE/hMToujtezG5l1XVoKn38u1aG//OXyOxU9enAyEfSF76Ev1PP16a8Z120cumwdz01+jl7JgW3I\n1NaYC8yUby6n+0/lBWanWzsREl1bwIUlXn1m+HxNDcs8Wsr05GQe7tpVZmmuX++71TKwpkYW4U8+\n2e5aitvhpuiRIsxrzLgqXSRPlTpK0rTA6mKtzWk/LeUrj5ai02h4snt3VUtpBEIIKnZX+BZperWU\nTvM60e/NfqqWoqKiEnRck0653WnHVG2ic5xs/vL69tfJiM9Am93AAsaNG6GwUMraAHv2yGnp/v0D\nPka3G7Zvr11oefw43HIL/OMfV3+uELBjR+1suL+Wsjb6UZYcfodBnQahzZZaypC0Ie06Q1RUVYXJ\n6STHU4QvMxpJCw9ndMLlN1osDgcLCwt5PTu74Vv0u3fLF5+fL6Mlp06VSsp990FYGC63iy1ntqAv\nlGkp5yvOXzNaiu2kjZIPSnxFeM2ZGuwlduJHxDdpP6dtNt46fx6D0UhRdTUzk5PRRkYyZ8sWUj/9\nVLZ6zc6u7aY5bFiHSks5949zxOfEEzsoNmhmQN1CsK283FeIn7bZmOOZDZ+VkuLL01e5MlfSUlJ1\nqSROSlS1FBUVlTZHdcobQFEUMfSvQ5nUYxKvzn31yg88fhxWrYKFC+X24cNQXAzTprXq+ISQjXwU\npbbeGT++4WAW7xpFbyEeGyufp9NxiZayqXgTWclZpMWmtepraIgql4sTNhsDY2MBWGUyUVxTw/2N\nSN4QQvC7p57iiRdfbLjQWrBA3rXIy4MpUyAykvKa8kvSUtJi064JLcVV5eLcP8/5dBSHxYHRYCT9\n7vQW7Xd3RQXvnD+PtrKSiStXEq7XX6ql5OVBesuO0RzcNW6sm6y+pj19/tSHhNHBexFVV0tJ9ktL\naSstJdipV0vx+OHXupaioqLS8VGd8gZQFEXwAiwYuIAlC/xaelqtUknxFuHnzskok29/u9XGcqU4\n8pISSLtK3VxXSxk2uprsWV9Q1c3AjIE38MCIwHf/bC4Wh8M3s729vJy/nz3LG/0an3XtZfnSpbx5\nzz08+O67zBoxQl5tZGZe8fEnLCd8izT9tRRttjaotZSLn1xEk6chJDwE4RIc/9lxev6iJyFhTSvg\nTtpsrLdYuNu/uHY4ZIdS74fLq6XodLIgb8EaiZZ4kSX/K+Hcm+ewbrQS0z/Gp6MkTkwkNCq4Lqjq\nailjvGkpqan07gBpNFeio3itPi1FL7WU6qJqkmcmy7SU2WpaSn10lHOn0jzU8xfctJlTDiCEiAvE\ngdqSLtu6cE/O3bJz5t13yyY+kZFydtxbKXfpEvCC3OWSawq9WsoTT8C3vnX54+oryP21FL1eDvXG\nuUY6z/2QCQsMbDhTQGjnkWh7acntmRvQcTcV/6Y8RoeDnO3bKczJIURRGBUf3+SC/L3XXuODP/2J\nYeXlPFJdzepvfpNX3G7uuP9+7n7jDd/jXG4Xm89s9hXi5yvOk9c3j4UjF/K/Bf8LWi2lqqiKiLQI\nn/9tXm0mISeByC6RKKEKWb9pXByjSwg2W60YPM1kztntzE1J4bbQUCJWrJAfLK+WotPB0qUdRksJ\nSwoj46EMBv53IOFJHXBFcgN4tRS90Yi+tJTimhrmaDTcl57OfwYOVLWURuCyubB84WniYzCiRCik\n6lLJejFL1VJUVFQ6JG3a0fOSBylKMtAX8E2jCSG+DOhIAoSiKMI+czrh//0fPP+8TE1JTGzVY27b\nBn/+s1xvmJFRG1k4ZgyENjDJV1VVm5aSnw9xcbUNDydMgD0Xt7N402K0fbXM7jP76jGNbYAQgsFb\nt7J2+HDSPFEwbiEIaUFhJ5YvZ/mtt/Kl08mLDgdPde7MlFdeYdb8+Zc18ekc19k3Gx6sWorL5kLU\nCF8RXvhIIZ3v7kziuJZ9Tifu2EG5y4VWo0FbXs6YFSsI1evl+oipU2ub+LSCliKE4DdP/YanX3z6\nMp3AVmzzJaRE9Yii1y+D9y6Gl0qXi1UmE3pPE5+U8PDatJTEREI7wIVOR+cyLWWYX1pKf1VLUVFR\nCQ7aWl95EHgMyAR2AmOBjUKIqYEYQKBRFEW+ogULYMmSqz08IGzZIhdu5uVB9+4NP/bMmdomPuvW\nwbAbKhgwcwOP3zKLxgaOtDWPFhVxb+fOvsWZJXa7ryAPCBYLy5csYcXjj6NkZuI8dRKevp1D3U6z\nsXgj4zPH+/LUg1VLcTvdPv3k2FPHiMqKIuPBjKs8q34cbjfhdV1ku52K9euJ895qcThqFy20UEtp\nDIalBt574D2+9da3yJuXh+20jVMvncK82ozD6CD5RqmjpMxMITqr4yocDVGflqJLTUWr0XRoLaWj\n0JCWopmjIVwTXHdIVFRUVKDti/J9wA3IQny4oij9gReFELcEYgCBRlEUIUaPlos4A9RR0+GADRtk\n0McjjzTtuW631FK8Cu/x4zBRe4KUsQZORevZel660J/e8SnR4R3jF/v7Fy6QFh7O9JQUAPZUVNAr\nKor45tyGr6mRLUQNBnn1snGj1In8cLldPP/0I5yMvMB6y07sZhOD6cuiJ59mZu+ZxEc2LVmko3H+\nvfNYN1jJ/pu86vLXfxqD3e3mq7Iyn5by7S5d+Gn37mA01rZ49ddSdDoYOrRNtJS3X3ubd//8LlmO\nLAYWDeRA3wMcCz/GnfffyQwxg+TpycQNi2tWw6L2xi0EW71pKR4tZa5nNnzmNZiW0hpeq09L8aal\nRCq+lvaJkxIJCVe1lECgOsnBjXr+gps2dcoBmxCiWlEUFEWJEkIcUhSl6av42pIAFORGo2zaYzDA\nihWyT9DNNzfuuf5aisEA8fGyTlq8GBafvYVNZ75mbte5fC97ETOylrZ70bm7ooLzdjuzPEV4z6go\nkvwKjqFxzVhW8M478Mkn8o0YPFjO2r75pq9QtNZYL9FS0nuko+2r5XHTNB6a/1BQaileyneWc/LX\nJxm8dDAAneZ3Iu2O2oUEjS3I91ZU8MuTJ1lpMtEvJgatRsN/o6IY/sEH8sPl1VJ0OvjTn9okLcVl\nc1GxswLrZivlm8sZsHsA33/u+3zyk09QUHDZXPzwNz8kb15eUOoHFU6nTEvxaCma8HC0Gg2v9u2r\naimNpOZcDcZ8ORtuWWshbrhMSxm6cqiqpaioqKg0QGNmyj8GHgC+D0wDzECYEGJu6w/vsrEowK+A\neGCbEOKdeh7T4uRGIaBfP9kfSKuVTQszrmIanDlTOxv+5ZcwalStH+6vpRRbi8mIz2jXlvYmh4MD\nlZVM9Fy4bLZaOW2zMf9qkTBN4YUX5JXMnDnQqRMAx83HfYs0vVqK1w/vmdQzcMduYxwmB4WLChm4\nZCCKIgtTR6mDqG4tU0aOVVdTUFrK3MJC0v21FO8Hqw20FH92Td/lS0dJyEkgISeB+Jx41u5dy3vf\nfo+ozCiqT1dzz1v3kDcvr83G1VJO1dFSclQtpUkIIajYVeGbDa8uqiZ5VrL0w1UtRUVF5RqnTfWV\nOgfOBRKA5UIIeyAG0BQURbkF+AZQCiwTQnxRz2MaXZTX1MjElPqa57ndl1kWl33fPy3lxAkYrztM\n0hgDJyMNzOk3g6cnPd2ocbQ2biE4Vl3t6xJ4qLKSN8+d4/d9+jR/p97w9MxMmeBRD960FP1h2cSn\npLKEvOw8tH21Qa2lCCE48tgRsn6bRWh0KEIIzGvMJE9NbpKmUe1y8YXFwldlZfymV6/aGUSvlqLX\ny7s+/frV+uGtqKXYL9op31JO/Jh4Ijpdvmagcn8lUVlRhEZfehfjLy/+hZ7ZPZl761yWfbSMk0Un\nefjJh1tljIHAq6XoS0vRG42cuca1lNbAVV2niY+qpaioqFyntFtRHigURfknkAeUCCGG+H19NvAy\nEAq8KYT4vzrP+ylgEkK8oSjK/4QQC+rZd4NFeUmJXGhpMMDq1dKoWHDZXuqnqko+xxt5GB8Pk286\nTln/V9hVZaDKUeXrpDm111Ri2rG1vc3lIsoT/VLmdDJ99242jxzZopQUiotrV6l6bwc88wxMn+57\nyGVaSly6bOKTrWNM1zFX1VI6qlt37u1zpMxIIbJrJAAX/nMBjVZDWHzTCrhim418T0v7dRYLI+Li\n0Go0/KC8nHDvB8tfS8nLg86dW+MlUbGnAvMXZso3l2PdbMVhdBB/Qzx9FvchbmjTlaWOeu5Aaimr\nzGYMflqKzpMdPjYhQdVSuPr5u5KWotFpiOmnaintSUf+2VO5Our5C27a2ilvDd4CXgF8+omiKKHA\nq8B04AywVVGUz4DRwEjgd0Ax4J2hd11p5/UtpFu9Gp59Fg4dghkz4Kab4O9/95kVV6S+OlSng8cf\nl1pKodHBf/cl83S/JQzrPKxD/GISQjB02zbWDR9Ol8hIEsPC2DpqVMt2+vHH8OCDUkf51rfgvfd8\n3v5x83H0hXoMhYZLtJSf5/48aLUU6xYrYclhxPT1XFi5wG1z+77f+ZvNK5S/ffgwqeHh3JmSwr8u\nXCDlww8v1VKeeQZyc9tESzGtMFF9VCZg9PhZD+n7BuGCzCvhr6VsKCsjJyEBnUbDMz16kKVqKVfl\nEi1Fb6T6iNRS0m5Lo/9b/QlPUbUUFRUVlUDSLjPlAIqi9AT03plyRVHGkKm4yQAAIABJREFUAc8L\nIWZ7tp8EEEK85PecaGQxXwUcFEL8rZ79iqVLlzNv3qxLvn74sCywJ02ChtL86mopx08Ixn9jH53G\nrGXx7Y+SktIxi5b7Dh7kvvR0cpNllnmN201kc1p42+31v0F2u/R5wsJwuV1sKt7k88O9WoouW8eM\nrBlBqaXYS+w4rU5i+sgi/Nw/zhHZI5KU6SlN3le500mN201q3fextFSG2ftrKV4/PIBair1UaijW\nzVasm62kzEgh88dX7ox6rVBXSznraZ6k1WiYlZJCgqqlXBVXtUxLKdWXYjQYCY0O9c2GJ05UtRQV\nFRWVurT5TLmngO4jhFitKEoMcqGnNRAD8KMrcNpvuxjI8X+AEKIa+M7VdnT//U/w3e8+Sk7OYKZP\nn8zw4cPJzc2lXz983Ze8t4oKCgqw2cBuz0Wvh48+KiA6zk7OHS56PGTgzK6lbFcUbut5GzEJNRQU\nbLrs+e2xXZidTUpYGKkHDgDwy7Fj6RIR0bz9nT1LbmkpGAwU7NwJH3xA7rRplzx+5LiRrCxcyRsf\nvcGm4k30GNYDXbaOh1Ifon///kybOq3xx+sA21MmT8FeYmfjoY0ADDg/APt5O1uGb5GP/3bT9tc9\nJweD0cg7y5ezv6qKP82fz8IuXSj417/g66/JPXAA9u6lYOhQGDeO3EOHoHNn+XyzmVxPQd6S12da\naeKD+z/AaXEyedxkEsYkcGLiCUqySsgks13f79ba/nzNGraVl3O8f3/yjUZi9uxhXEICf9VqGZuQ\nwPp16+DCBRI6yHg74rbdaGeweTBGvZG1q9YS3TeaWd+axbDVw9hybgvVSjV9cvt0mPGq2+q2uq1u\nt+e2998nTpwg0DQmfWUh8CCQIoTorShKNvA3IcS0Fh348pnyecBsIcSDnu27gRwhxKNN3K/IzHyS\nxYunMG/erCvqJMXFtW64v5ai08GDG3JxC7fPDx+QOqDdtZRNZWWcsNm4w+MX76+sJC40lB4t0Rxe\neEE2WDKZpLus1Uo/PF7OdHu1FH2hnk3Fm5iQOQFdto687LxW01IKCgp8PwCBxm13+9p1mwvMnHvt\nHAP/M7BF+/y6rIzvHD6MyeEgT6NBm5jI9P37iffmYXq1FJ0OcnNbpKUIIag+Uo39vJ2kSZdHftpL\n7DhKHe2mobTmufPnlM3ma2m/wWplrEdL0Wo0qpbSCC7TUjwK0+Heh9H9WKdqKUFIW/3sqbQO6vkL\nbtp6pvwRYAywCUAIUagoSgCz83ycAfzvsWciZ8ubjMVSjSdX3fc1t1t23fTGFp446WbGHBt33x3j\nr0cDsCprFeGh7fuL6XxNDRutVm7xSO/xYWGkhNeOaVBsbMsP0rs3/Otf8ookJMSnpeg3y0L8YuVF\n8rLzeGj0Q3x020dBqaV4qTlXw67JuxhTOAZFUUiakkRybnKL99snOpp/paczqqCAkJdfllpK//6y\nCP/4YxgypNlairvGjXmNGesWmQlu3WIlNC6U1JtT6y3KI9IiiEiLaOlL6nC4hWCL1erzw71ayne6\ndGHJoEGqltIIrqSlZP02y6elXCy4qBbkKioqKu1IY2bKtwghxiiKslMIMUJRlDBghxBiaIsOfPlM\neRhwGJmFfhbYAnxTCHGwifsVCxbcRVJSF/74x99dmpaSUskg3WocWQZ2lOfzWM5jPDnxyZa8jIDh\ncLvZUl7OhMREQM4GvnP+PM/27Nm8HQohRXqDQRbdN95Y78OsNVZWHFmBocjAsqJldInrItNS+sm0\nlPbMU28JwiXYNmIbI9aPICxRFm0um4vQqMY3JRJCcLCqCoNnoeDHgwfL9Boh4MCB2iu8vXth2jRZ\niM+dG7C0FGeZk3237qvNBB8TT2SXyIDsu6NT4XSy0i8tpVN4OLrUVHQaDTlqWkqjqDlXg9HgSUsp\nsBA3QqalpOpSienXfslQKioqKtcCBQUFFBQU8POf/7ztIhEVRfkdYAHuAb4HPAwcEEI80+yDKsp/\ngCmABigBnhNCvKUoyhxqIxH/IYR4sRn7Fn/9qxuDQWH9ehg9GkbN3cvmhJ+wy7iBMV3H+LSUPikt\nyOkOAOdqakiPiEBRFKpdLubt349+yJDmFxx2u3RxvFchNTVSSVm4EEaM8D3smPmYb5Gmv5aizdbS\nI6lHgF5d23P4wcN0+3E3YvvLuwi2kzYiu0c2WT1abTLxmaelvUsItB4tZebevYR6VwC7XLWLNJuo\npQghqD5a7YsiLN9aztBVQwmLu75nfE9601JKS/m6jpbSS9VSrooQgoqdFb5CvPpoNSmzUtDoNKTM\nTlFnwVVUVFRagTbNKfdEFX4bmOn50gpkhnj7xLZcBUVRxMSpS3nkwXnMni21lLPlZ/n69NfMyJpB\nYlRiu41NCIEbCJUnkNHbt/Pp4MF0C1T83UcfwW9/e1mih09L8fjhpVWl5PWVaSnTs6Z3KC2lKW7d\n2TfOEjMghqSJUuUo315OdL/oFhe3jxYVkRERgTY0lMFffIHiTUvxaik6XbO1lEMPHKL0s1JCo0OJ\nz4n3zYInjEsI+mSLpnqRLiHYarVKP9xo5JzdTp4nLWWmmpbSKFzVLsxrzLIQNxgJjfGkpWibnpai\neq3Bi3rughv1/AU3beqUCyFcwOueP0HBhYSn+OUrz1FW/RiL7l9ERnwG8wfOb+9hcduBAyzs0oUZ\nKSkoisK2UaOavoBUCDh5EurTWm69Vf7Bo6UcWIq+UM/nRz4nIz4DXbaOf9z0j6DVUixfWXBXu0mZ\nIWMKY/rHXKJzxI9q3MWFEIKdFRXEhYaS7d/O1aOlvOKdDd+3r1ZLefXVRmkpbrubil0VRPWMqtfv\nzliUQa9f9SIy4/rQUOpS7mniozcaWeanpfw9O1vVUhpJzVm/Jj4FFuJGxqHRahi+ZriqpaioqKgE\nMY2ZKd8LCMD/t2UZsBX4lRDC2HrDazqKoojMuZksXrSYebp57Zqa8qfiYmJDQvhORgYgC5L45sz+\nVVfD2rW1WkpcnPSYQy/1o4+Zj6E/rMdQZLgmtBTbaRtVh6t8WeF1i/KmUOlysdpsJt/jKMeHhvKb\nrCxuTUyEdetkEW4w1Gop3rSUyIaLZ9tpG2Xry3yZ4JV7K4nuE03fV/qSNPnyxZjXIydtNl92+NdW\nK+NULaVJ+LQUvZFSfSm2YzZVS1FRUVHpILR1+spywAm8jyzM7wBigAvA24AuEAMJJBf2XWD/vv3M\nv6ltZ8fXWSzsq6zkka5dAbg1NZU4v8K5WQX5t74Fn34Kw4dLJWX5chgwwKelbCze6PPDvVrKw6Mf\n5uPbPyYuoumt0tuTgw8cpGJXBRHpEQx8fyBOk5PKPZW+otyrqTSVFSYTC/bvZ0x8PFqNhidiY+n7\nxRfw+99LLWXAAFmEf/JJk7WUi0suUraxjIScBHrP6038qHhCYxu/mPRaxFUnLeW8Jy1lYUYGSwcN\nat7PwXWGT0vRe7SUWKml9P59bxInqE18VFRUVNob70LPQNKYmfKdQogR9X1NUZS93vSUjoKiKGLp\nZ0spOl7Ek4+1brLKaZuNz00mFnpmwk9UV3PB4SAnISFwB1m/HgYNghRZmHrTUupqKbpsHTd0vSHo\ntJSaMzVEdpWz0dvHb2f9xvUMZzidFnRi0JJBTdqXEKLeOyOVTifOgwdJzM+v1VKmT5cXOVdIS3Hb\n3VTsrpALMTeXEzsklu4/6d68F3kdUO508keDgeP9+7PMaCQtIgKdRoNOo2GMqqU0ipqzNT433Kul\npOpS0Wg1baKlqF5r8KKeu+BGPX/BTVvPlIcqipIjhNjsOfgYwFv5OQMxiEAzTzevVfZrc7lYZjJx\nqyc7PCokBJffRU3P6Gh6NuV2fEUFvszG2bNhfj0z+5MmSS1l07voC/VsPrOZid0nosvW8csbfxl0\nWorb6UYJlRnyboeb3dN3M2r7KEJjQglLkh/HuNFxZL+e3aj9WRwOVnii8zZZrRy84QbCQkJkEo1H\nS4n111Kee65BLcW61cqRx45QsaeC6N7RJOQkkDglkaQpqopSF38tZaPVSnZpKffGxfF8jx5N+zm4\nTqlXS5mdQtodafR/u7+qpaioqKhcZzRmpvwG4C3A60KUI9NY9gN5QoglrTrCJqIoSkCDYXaVlzM0\nLo4QRcHhdrOwsJA3srNl4dcczp+HDz+UhfiGDZCTI2dsb70VMmXvJK+W4vXDjVVG8vrmoc3WMqP3\njKDTUvzZMWEH2X/PJm6IfA3+s9sOi4PChYVkv55NeFLDBclfzpxh6cWLbCsvZ3JiIlqNhjyg++rV\ncjZ89epaLUWng8GDfVqKw+zAdtxG/MjLF4baL9qp3F9J/Oj46z6isC5eLcWblnLBo6XoUlOZmZys\naimN4EpaikanUbUUFRUVlSCkTSMR/Q6aBAghRFkgDtxatLQot7lcKIpCpKfo1u3dy1/79iUzULGF\nX3wB77wjC/GZM8GjupTZylhxdAWGQgOfH/mcrvFd0WZrg1ZL8XL0yaMk5CTQ6RZ5d8FV6bqicy2E\n4Knf/IYXn376qgt0/1xcTK/ISKaeP09sXS3F28QnLQ3hEpTvLPdlgls3W7GftZM8I5nBHw0O+Ou9\n1ij3a+KjainNw6el6I1Y1vlpKToNMdlqWoqKiopKMNPmRbmiKFpgIOCrTIUQvwjEAAKNoiji+eef\nJzc3t9GOlv9s7YL9+32xhc2mrAy2b4epUxt8mDctpa6Wos3W0j0xOP3lix9exFXhIv3edEA28Anv\nFE5ozNUXPy41GLhn8WLe/fGPmTRjBp+bTGRHRzMu0S9bvqZGainebppCXNrEp46W4q5xs2PcDuJG\nxvkywWMGxhASFpwXOW3Biepq3yLNjXXSUhrSUlQvUiKEoGJHha+lvVdL8aWlJHdMLUU9f8GLeu6C\nG/X8BSft1dHzNSAamAq8ASwANgshvh2IAQSaps6U/9+pU4QCj3eXRbBLiObN/hUV1UYWbt0q29p/\n/DH4aS7+Woq+UI+p2iSb+PSTTXyCUUup2FdB+bZyutzXBYCqw1UItyB2QGyj9/Ha22/z53ffpaJX\nL04NGkTUzp3Yi4oYqtPx54cfZpLDAcuWXaalOKbkUV7RDesWOQve/5/9680GV2kYlxBs9ktLuWC3\nk+eZDZ/RBC3lev7F4qpyYf7CT0uJC/W1tE8YHxyNoa7n8xfsqOcuuFHPX3DT1h099wohhiiKskcI\nMVRRlDhguRBiYiAGEGiuVpSvMpnYUFbGC716AWB2OIgLDSW8uY44wJQpsijXauWfadMgVhalXi1F\nX6jn86LP6ZbQTaal9NMxOmN00GkpDrMD8xozafPTAKg+Vk35jnLfdnMQQvD4++/zcn4+McQTFW7j\nzzk53GGxoBgMsH//JVrKsT9XcHHpRexn7JfMgKfMTrnu4wgbi1dL0ZeWssxkIj0iAq2qpTSJulpK\n/Kh4NFqNqqWoqKioXEe0dfpKtefvKkVRugJGID0QB28LTlRX8+6FC/zM0wFzaFwcPfz88OTwANxK\nfvdduUjTU8gcNR3FsFdmh285s4WJ3Seizdby66m/DjotRbgE1k1WEifUKiTWjVZfER6dFU10VuOS\nNmwuFweqqhgZf+kCS0VRGBsTQ+Kxs4zflsDXQ41ErdqLY85UIl54QV70+GkpydPDSbstTdVQmsiJ\n6mrfIs2NVivjPVrKCz17qmkpjeASLUVvxHbck5ZyZxr93+nfYbUUFRUVFZXgoDEz5T8DXkXqK3/x\nfPkNIcTPWnlszUJRFPHK6dN8r1s3AKxOJ5+bTNye1oyZXE/bdZ+Wcued8NBDlz3M6Xay8XRtE59g\n11LsF+2EJYcREhaCcAn2avcyaOmgJs9CCyHYX1nJSrOZlSYTG6xWcuLjWTVsmHT4L16E/Hze/tNr\n/GlPCQOUodzgmsx2ZRtHlKPcvfBuvve377XSq7z28WopeqMRQwu0lMZyLd6CdVX5paXk19FSJiRc\nUxeF1+L5u15Qz11wo56/4KbNZsoVRQkBvhBCmIEPFUXJB6KEEJZAHLy1+GNxMbenpdEpIoKEsLCm\nF+QHD8Jf/yoLce9CwmeflTO2Hq6kpbx989tBp6UIIcANSqj8TB24/QB9X+lL7KBYlFCFoZ8PbdY+\nB23dis3tZlZKCosyMvhg4ECSDh+Gl16SfviBAzB9OlOzH8d8/jg7KnajVCiEd4ng2ZefJW9+XqBf\n6jVPfVqKTqPh9exsVUtpJDVnajDm19FSdBoyH89UtRQVFRUVlVajMTPlu4QQw9toPC1GURTB2rUs\n6NSJJYOa1hHSx44dsHKl9MMHDbpES9EXykWaW89svSQtJTMxM4Cvom05vOgwSblJdP6m7Gx5pc6Y\n9VHjdiOEICr08ln0C3Y7nYWAdesQn+mxf/oVkaHm2uxwj5YiXIL8j/N574H3iMqMovp0Nfe8dQ95\n89SivDH4aymbvFpKaip5KSmqltIIhFtQvqPc54fbTnjSUrQdOy1FRUVFRaX9aeuFnr8HNgEfBrQr\nTyuhKIoYvXUrq4YNI+lKvrgQsHOnTElZtOiK+/JqKfpCPYZCA6Zqky87fHrWdGIjGp8w0pE499Y5\nHEYH3R+Xfruz3EloXGijCnEhBAerqljlUVLWl5Xx7wED0KWm1j6opASWLcP50QpMayyYYqdhsg0l\ndnAswzaM913k+POXF/9Cz+yezL11Lss+WsbJopM8/OTDAXvN1xL+Woq+tJSLDgd5nsjC1tBSrkUu\n0VIMRkITQtFor00tRUVFRUWl9WjrorwCiAFcgM3zZSGESAjEAAKNoijCZLdfvoCzqgrWrKn1w2Ni\n4Kab4He/uyS2sK6WkpmY6ZsNDzYtxYt1qxXzajM9nuoBQM25GpRwhYjUpsUH/vvCBZ48dowQYFZK\nCrNSUpialERyWJhs3KPXg8GAe38huyP+REVFFxLHJ5Byczopc1KI6XP1W/+qW1c/VqeTlSYTeqOR\nZSYTXeo08QnpAFpKRz93NWdkWkqpvpSyL8t8WopGpyGmr6qldPTzp3Jl1HMX3KjnL7hp0/QVIURw\nrVIEtnz2GbPmzbv0i+PGQUqKVFLWroXsbN+3rqSl/Gbqb4JSS7GX2Lnw7wtk/lCOPTIzksRJtekp\nkV0ir/RU4Mr6yriEBNYMG0bf6GgUux0KCmqb+CiKVFJ+/nNCJk+m16Zq4m+Ib1TTIJX6Oe7RUgx1\ntJRf9Op1SYKQSv34tBTPbLhXS+l8d2cGvDeA8CRVS1FRUVFR6Tg0ZqY8BLgL6CWE+IWiKN2BdCHE\nlrYYYFNRFEU83bcvu8PDueOxx7jbq6c4HOCZPffXUvSFeiw2i0xLCVItxe10U/JBCZ3v6oyiKLiq\nXJx9/SyZP2jcBYUQgsNVVb6UFADD0HoWd5aUIPKXUfX+BoxfOTBFTKLXN6tI/N6Nl7j3Ks3jSlqK\nTqNhuqqlNIr6tJRUXSoarUbVUlRUVFRUAk5b55T/FXAjIxF/AVR4vjY6EANoDdZduMBNP/oRdy1c\n6PtamauK5YeXoy/Us/zIcp+W8s7N7zAqY1TQaSnlO8qJGRhDaFQoSqiCdaOVTrd0IjQ2lNCY0EYV\n5Fankx8dOcJKsxmAmcnJ3JOezrTkZPkAIXxaStn7u7hQ1Atj2ASIvh3NHZ3odmtX4qYlgzob3mzq\naikZniY+b/br12G0lI7OZVrKaE9ayhOZqpaioqKiotIqFBQUUFBQENB9NmamfKcQYoT3b8/Xdgsh\nhgV0JAFCURTx/fh45rz1Fr1vHIb+sB5DkYGtZ7Yyqccknx/eLaFbew+1SbiqXAi3ICxOXkcdvO8g\n3Z/sTmz/5s/qu4Xgb2fPMi0piX4xMVJZqamRWorHD/dqKRdTbsIW3ZsUXRoxA2Ianc7SVK4Ht+54\nnbSUCR4tRavRBLWW0lbn7hItRW/EdtJGyhy/tBRVS2kW18PP3rWKeu6CG/X8BTdtPVNuVxTFNxWq\nKEon5Mx5h+XiD27kB+98F8uJMLR9tTw25rGg1FKES/iyw4/84Agps1PodGsnAAa8PaDh5wpBUXU1\nK00mVprNvNynD1l14vFCFIVHunaFkhJc7/4Pyzt7cO46QucRRumH5+fDwIGgKHRqnZd4XeASgk1W\nK/rSUgxGo09LeTgjg48HDSJO1VKuiqvKhXm1XxMfj5bS5+U+JIxXtRQVFRUVleCnMTPldwO3AaOA\nfwHzgWeFEEtaf3hNR1EU8bMvfoYuWxeUWoqX4leLsZ+3k/WrLKDx2eGrTSaWXLzISpMJpxDMTElh\nZnIyeRpNrZMsBOzdS9XbqzF9dAbjma5YGUxcHzedv9OLjB/3a82Xdl1gdTpZYTJh8NNSdBoNutRU\nboiPV7WURmArtsnscIPxEi1Fo1XTUlRUVFRUOgZtGonoOeAAYJpnc40Q4mAgDt5UFEWZiFx0GgYM\nFEJMqOcxwRCnfhmW9RZKPigh+y8yFcZZ4SQkKqTJM4D/PHcOq9PJzJQUBsT4aSZ1tBSHiGWb6Xck\nT4xCc98Akmd3IixRnbFtCceqqzF4tJTNVisTEhPRaTTkBbmW0lZcSUtJ1aWSPCtZ1VL+n737jo+q\nSv84/rmTDiFtQg9dekd60VhAWrCgIrbFhu5afquu3dXg7lrWXQurrigKqCgo4mpAEEWD0lV6DyUQ\nCC2TnkySKef3x52WBkmYkNzwvH3lFZ7MnTt3cuDlk5PvPUcIIUS9c77XKf8P8JlSaq0/XtAfNE27\nGmimlHq/gscM0ZQXpxdz5JUjdH6zMwD2HDs2i42wjpXvwKiU4oDVyoqsLKIDA5navPmZX+TUKaxz\nvyNkzTeYkldAr17e3TR79EBBrWXDa8pI2TrfWEqSxUKGz2opo6OjL7hYSk3GrmwsJTAy0DMbLrGU\n88tI//ZEaTJ2xibjZ2znO1P+O/CspmndgMXAAqXUb+fyopqmfQhMAE4ppXr7fH0s8AYQAMxWSr1S\nySluBu48l2s435x2J0dePEK7Z9uhmTSCYoOIujTK83hgZGCFM9X5drtnqcIVWVkUO52MiYnh5mbN\nyr+IUjh/30b227+QuTwLy6kO2IPM9H3uOsI/+C/47roJ1K923BjcsZQki4VlPrGUD7t1k1hKFXli\nKUkWcn7xWS3liTZV2mBKCCGEaIiqFF8B0DTNDFwHTAXaKqUuqvGLatoo9KUVP3I35a6bSfcCVwLH\ngF9drzUQGAC8qpRKd62T/qxSanol5643M+UZ32QQFR9FYITebB/51xFa/6l1tTbU2VNQwMMHDjAm\nOpoxMTH0aFRm5ZOiIk8s5fB8xZHciTRubiXmqijM9/UnfHA0mkkaxXNx0GcTH99YykSzmbYSSzkr\n5VTk/Z7nacQlliKEEKKhOO+ZcteLDkG/4fMaYJdSKuGcXljT2gNJPk35MOB5pdRYV/0kgFLq5TLP\nSwSWK6XWV3LeOmvKrYesBDQOILiZvn39oecO0eIPLQjrVHkkBfSmLzk7mztatKhanOTkSX1llCVL\nYOVK6N0bEhKw9hlH4KBuBMUG++PtXLAcSrEuJ8eTD7e4YikTL9BYSk04ClyxlCVlYikJZiKGSSxF\nCCFEw3Be4yuapv0TuBY4CCwA/qaUyvbHi5fRGkjzqY8CQ8oepJRKrIXXrhGn3Ykj3+GZ6Tvx4Qki\nhkdgHmcGoMMLHSp8Xo7dzo9ZWazIyuL7zEwKnE7GREdzY9OmFTd8SlH8w1Ys7/xG5qoigvLT6XrN\nfrjmGnjvPU8s5cytvzHUVbaubCyldXAwCbGxEkuphhVfrKCnpac3ljJIYilGIrlW45KxMzYZP+FW\nlSm/g8AwpVRGLV+L36a3p02bRvv27QGIioqiX79+nr/w7t2Xalr/9ONPaCaN+Ph4js08xpqda2hx\nWwvi4+Pp8LcO+vHJZz7fI/v303TQIMbExDAoK4sOoaFc1r176eOHDsX2TTKfP7OCvEMh9FIjiLko\nhH1X5dDkulF0veFFv7yf+lZv2bLlvL3eQauV15YsYV1ODvu6dmVkZCRd9+7lrchIpowY4Tn+53r0\n/alPtXIqvn3vW3LX5tJ5R2f27t9L+pB0IodFMnH+RIKigkhOTubA0QPEX1T31yu11A21dqsv1yN1\n9Wq3+nI9Up+5dv85NTUVf6vqkojRQGfAE6BVSv18Ti9cPr4yFEj0ia88BTjPcLNnZeettfhK1sos\njr1zjF5f9gL0rGxlee1Uq5UATaNNBZnjStccd8dSkpLgxx9x9BjAkUZ3E3NnLyKm9EaTX/mfE3cs\nxZ0Pt/islnKlxFKqxB1LyUjKIHNpJoFREksRQghx4TrfSyLeAzwEtAE2A0OBdUqpy8/phcs35YHo\nN3peAaQDG4Gp1V0T3Z9NedHRIlL+lELvb/QFYhxFDnBS4Y2aeXY7P2Vne1ZJybHbef2ii7j5DMsW\nOm1O8uZvxjJnF20LZhN4YBuMHq0vWThuXLnVUkT15fhs4uMbS0kwmxkosZQqKUrz2cTHJ5ZinmiW\nWIoQQogL2vleEvH/gEHojfhlrqURXzqXF9U07TPgUsCsaVoa8JxSao6maQ8A36EvifhBTTcpSkxM\nJD4+3vMrh6py2p3sm76PLrO6YAoyEdIqhPaJ7T2PB4RWvGrKV6dPc/uePQyNiGBMdDRf9OxJ78aN\nK2z4So7kkTlzHZavT5B1MIaQwEzMfaw4n34OJo6C4OBqXXNDk5ycXO1xK+uAexOfjAw25uUx0rVa\nyt87dJDVUqpAORV5v/mslpJWhHmcmRZ/aEGPT3tUusmUP8ZO1B0ZP+OSsTM2GT9jSk5OLhdBOldV\nacqLlFJWTdPQNC1UKbVH07Rz2oddKTW1kq8vA5ady7lBb8qr6tg7x2h6fVOCmwVjCjRhnmBGORQE\ngWbSaDKgiefYLJuN6KDyy7eNiYnh5PDhNAqoZKnDEyfg228hKYnUpZ0piWiHOT6Mi95rR0j8BJDZ\n2nPiG0tJsljIdMVSHmjdWmIpVVQulhKtx1IumnmRxFKEEEKIMtzYn5KiAAAgAElEQVSTvzNmzPDb\nOasSX/kKfaOe/0OPlmQBgUqp8X67Cj86W3wlZ30Owc2DCeugr1WS/n46MWNjCG1TfgY1324nOTvb\ns3mPSdPYOWjQWZctLDldgn3dDhpt0xtx9u6FMWMkluJHOb6rpVgsxIWESCylmjyxlCQLOatzaDK4\nCeaJZmITYs+6jKcQQggh6midctcLxwMR6OuEl/jjAvytbFNeklGCs8BJaDu96T72zjEa92pM1CVR\nlZ0Cp1KM3baNdbm5DG7ShDExMYyOjqZfeHiFzZ5yKvLWWsh8dzOW73MpPB1G26hltLs9QG/ER0ks\nxR8OWK2eLe1/9YmlTDSbK7yhVpTmiaUk6flwdyzFnGAm5qqYSmMpQgghhKhYnTXlRqBpmnr2iWe5\nYuwVxMfHc/zD4zgKHMQ9GFfh8ZWthLIuJ4c+4eE0riySAnDiBAXvr2DL32MJsluIaXkY8/hYIu+/\nBFOf7hJLqQHfbJ3d6WRdbq5nE59Mm42JZjMJsbFcGR195rERgB5Lyfw+E8sSS6lYijnBTOSwSLQA\n//0dlVykscn4GZeMnbHJ+BmTO1M+Y8aM83qjp+GMnTeWwU8OBqDlnS1LPVbgcLDKZ5WUVzp2JKGC\nOMmwyMhStVIKDWDrVn0nzaQk2LePsCvGMuDlSYTdPh7M5tp6SxeMfIeDz0+d8sRS2oSGMtFsZm63\nbhJLqaKKYimxCbG0e6qdxFKEEEIIP6iTTLnRaJqmfuInmt7QlJ6f9/R8PSkjg9ePHuXXvDwGNmnC\nmOhoxsTE0L+SSAqALdtG1tJTZM7bTebaEgZF/oWgsBI9kjJxosRS/ERiKedGORV5v+qrpWQkZVB8\ntBjzeFcsZYzEUoQQQojaIvGVM9A0Ta3o/APxGy8hKMq7UsqG3FwybDYujYw862oc6a/u4eT7h8g/\nZCKS7cS0PUnM5Dga3TEGunWTWMo5csdS3KulZNvtTIiJkVhKNdjz7WT9kKXnw5daCDIHYZ5YO7EU\nIYQQQlRMmvIz0DRN9bntj9iP7eWh227j3mnTzv4kpfRYSlISJCVxcmdzAi/uRtS0vgRcPU5iKX6Q\nY7ezPDOTpIwMlmdm0iY0lATXbpoX+8RSJFtXuaIjZWIpQ/RYinmiuV7EUmTsjE3Gz7hk7IxNxs/Y\nzvfmQYaTFVjEaw8/zOQJE8o9ppSicFchlm9OEpqXQrPsr/WMeHCwHkt5+WWajxoFFaxHLqpnf2Gh\n5ybNX/PyGOWKpbzUsaPEUqrAHUvJSMrAssRCybESYsbF0OLOFvRYUPkmPkIIIYQwngY5Ux7UowfP\n3Horzz/1FODaGGVlFpZFR8lcehqsVsz21TTvcYzIW/rpzXjXrhJLOUcVxVImurLhEkupGnu+nazv\ns/QZcXcsJUFfOzxiaITEUoQQQoh6oDZWX2mQTfmzT82gcVwsT/7xj7BlC7n/XcXBhY0xl6wm5rIw\nGk0diTZeYin+UDaW0ta1WkrZWIqoXKlYypocIoZE6MsWTjQT1rHuYylCCCGEqJhkys9A0zR1d6up\nHLRu5TaVyTRzY30m3L2Jj8RSztn+wkLPbPhvPrGUiWYzcecYS7kQsnWlYilJFkrSS4gZH4N5omsT\nnwhjxlIuhLFryGT8jEvGzthk/IxNMuVn4bDk8PANI5jw9MOyWoof2J1O1vps4uOOpfw5Lo4rJJZS\nJZ5Yinu1lKb6aild3ukisRQhhBBCNMyZ8hub3Mjtc25nwuTyN3qKqsm22ViemckSi4VlmZm0c62W\nMlFiKVVWdKQIS5K+dnjumlwihkosRQghhGhIZKb8LG6fczuHUw7X9WUYTorPaim/5eVxSWQkE81m\nXu7Y8ZxjKRcC5VTkbsz15MPdsZSWd7ek5+c9DRtLEUIIIUTta5Az5Q3tPdUWdywlyWIhKSODHIfD\nc5NmXcVSjJats+fbyVrhs1pK0yB97fAEMxFDLqxYitHGTpQm42dcMnbGJuNnbDJTLmrMHUtJslhY\n7hNL+aR7dwZILKVKig4Xeba0z13riqVMNNPu2XYSSxFCCCFEjchM+QUgxbVayhKfWEpCbCwTYmIk\nllIFyqHI/TVXv0kzyULJcddqKQlmYsYYd7UUIYQQQpwbWRLxDKQp12Mpa9yrpWRkkOuKpbg38Wkk\nq6WclT3PZ7WUby/sWIoQQgghKibxlbNITEwkPj7+gspoZdlsfOcTS2lv0FhKXWbrig4XedYOz12b\nS8QwfbWUds+1I6yDxFLORnKRxibjZ1wydsYm42dM7h09/anBNuUXghSfTXx+z8vj0qgoJprN/LNT\nJ1qHhNT15dV7ylFmtZQTeiyl1fRW9PxCVksRQgghRMXck78zZszw2zklvmIg7lhKUkYGSywWTyzF\nvVqKxFLOrmwsJbhZsGftcImlCCGEEKI6JFN+Bg2tKc/y2cTHN5aSEBtL//Bww8RS6lKpWMo6Vyxl\nomsTH4mlCCGEEKKGpCk/g4bQlO/z2cTHHUtJMJuZYDY3+FiKP7J1nliKe7WUk3osJTYhlugx0QQ2\nkVhKbZBcpLHJ+BmXjJ2xyfgZ2wV7o6emaW2BN4FMYJ9S6pU6viS/8I2lJFks5LtiKY/ExUkspYrs\nefomPhlJGWR+m0lwcz2W0uW9LkQMlliKEEIIIeo3Q82Ua5o2HohWSs3XNG2BUuqmCo4xxEx5ls8m\nPt9lZtIhNFTPh8fGMiA8HE1iKWdlTbXqs+FLfGIprnx4WHuJpQghhBCidhk+vqJp2ofABOCUUqq3\nz9fHAm8AAcDssjPhmqaZgS8ABXyslJpbwbnrbVO+z71aSkYGm/LzL6hYij8ohyJ3g89qKSdLME/Q\nm3CJpQghhBDifGsITfkoIB/4yN2Ua5oWAOwFrgSOAb8CU4GBwADgVVe9USn1i6ZpXyilbqjg3PWm\nKbc5nazJyfHsppnvs1rK5RJLqVDZbF25WEqLYP0mzQSzxFLqGclFGpuMn3HJ2BmbjJ+xGT5T7mqq\n25f58mBgv1IqFUDTtAXA1Uqpl4GPXV9bDiRqmnYzcOi8XXA1ZNlsLPNZLaVjaCgJsbF82qOHxFKq\nyBNLca+WMlyPpbRPbC+xFCGEEEI0SPXp9/2tgTSf+igwxPcApdROoNzseFnTpk2jffv2AERFRdGv\nXz/PT6Hu3Zf8WacVFXGqZ0+SMjLY+Msv9AsP546xY/lXp07sW7cO8vO52HU9tfH6Rq+VQzEgbACW\nJAu7F+xme9Z2Rl87mlb3tSLjzxlkNcqib3zfenO9Uldcx8fH16vrkVrGT2qppZba37X7z6mpqfhb\nnd3o6ZopT/KJr0wGxiql7nHVtwJDlFIPVvO8tR5f8Y2lJFksFEgspdrsuXYyV2RiSbLosZSWrk18\nEsxEDJJYihBCCCHqP3/GV0z+OImfHAPa+NRt0GfL64Usm41PT55k6q5dNF+7lr8cOEBEYCALevTg\n6LBhzOralYmxsdKQn4H1kJWj/znK1jFbWRe3juOzjxMxOIIBvw5g0LZBdPxHRzYXbZaG3KB8ZxGE\n8cj4GZeMnbHJ+Am3+hRf+Q3o7JpBTwemoN/YWW2JiYnEu34dey72FhZ6trTflJ9PvGu1lH936kQr\nWS3lrDyrpSRZyEjKwHbahnmCmVb3taLnlz1ltRQhhBBCGFJycrLff6Cqq9VXPgMuBczAKeA5pdQc\nTdPG4V0S8QOl1Es1OHeN4ys2p5PVOTme3TQL3bGU2Fguj4oiTGbBz+qMsZTBEWgmmQUXQgghRMNg\n+CURa1N1m3L3ainuTXw6hYWRYDYz0Wymv6yWUiXWQz6rpazPJWJEBLEJsZgnmgltF1rXlyeEEEII\nUSukKT+DqjTl7lhKksXCZp9YygSzWWIpVaAcitz1uWQkZWBZYvHEUswJZqKvPLdNfJKTk885diTq\nhoydscn4GZeMnbHJ+Bmb4dcpr21lM+XuWIp7Ex93LOXxtm0lllJF9lw7md9lYlniiqW00mMpXWd3\nlViKEEIIIS4oDSZTXpvcM+WZ7lhKRgYrsrI8sZQEs5l+EkupEutBq2dLe4mlCCGEEEKUJvGVM9A0\nTV2yaROb8/O5zBVLGS+xlCopFUtJsmDL8ImljI4mMLxB/mJFCCGEEKJGpCk/A03T1JKMDImlVJEn\nlpJkIXOZN5YSmxBLk0FNznssRbJ1xiVjZ2wyfsYlY2dsMn7GJpnys5hgNtf1JdRr1oOu1VKWWMjd\nkEvkiEjMCWY6/K2DxFKEEEIIIepAg5wpb2jv6VwphyJnXY4nHy6xFCGEEEKIcycz5Wfhrx09jcye\n47OJj08spduH3eokliKEEEII0VDI6itVcCHPlLtjKRlJGeRtyCNypB5LMU80E9rWGLEUydYZl4yd\nscn4GZeMnbHJ+BmbzJQLwCeW4tpN05apx1Ja39+a6P9JLEUIIYQQwihkptxg7Dk+m/gsyyS4dbBn\n7XCJpQghhBBCnD+yJOIZNMSm3HpA38THyLEUIYQQQoiGxp9NuckfJxH+5bQ7yf4lmwNPHGBjj41s\nGrGJ/G35tH6gNcOOD6PPsj60/lPrBtmQ+/umCXH+yNgZm4yfccnYGZuMn3CT0HE94YmlJFmwLLMQ\nEhdCbEIs3eZ2o8lAiaUIIYQQQjRkEl+pQ9YDVs+W9nkb84gcFYl5osRShBBCCCGMQDLlZ1Cfm3Kn\n3UnuulzPbpru1VLMCWair5TVUoQQQgghjEQy5QZiz7FzauEpdt+2m7Ut1pLyYAqmEBPd5nZjePpw\nun3QjabXNJWG3EWydcYlY2dsMn7GJWNnbDJ+wq1BdoJ1vaNnhbGUBDMdXuxAaBuJpQghhBBCGJns\n6FkFdRFfKRVLSbJgy7JhnmgmNiGW6CujCWgccF6vRwghhBBC1D7JlJ/B+WrK7Tl2MpdnkpGUQeby\nTELbhOo3aSaYZbUUIYQQQogLgGTK60jh/kLSXk9jyxVbWBe3jhPzThA5IpKBmwcycPNAOvytAxGD\nI6QhPweSrTMuGTtjk/EzLhk7Y5PxE24NMlPuL067k9y1uViWlI6lxD0UJ7EUIYQQQgjhN4aKr2ia\n1gN4HrAAK5VSX1ZwzDnFV2zZNrK+y9JjKcsyCW0b6tnSXmIpQgghhBDC7YLNlGua9giwUSm1WtO0\nr5VSV1dwTLWb8sL9hZ6bNPN+zSPyEn21FPMEs6yWIoQQQgghKmT4TLmmaR9qmnZS07TtZb4+VtO0\nPZqmpWia9kQFT/0YuEnTtH8C5pq+vtPuJPvnbA48doAN3TaweeRmCnYWEPd/cQw/MZw+S/vQ+r7W\n0pDXAcnWGZeMnbHJ+BmXjJ2xyfgJt7rKlM8B/gN85P6CpmkBwFvAlcAx4FdN074BBgIDgFeVUunA\nA65jy0VXzsSWbSNzeSaWJIu+WoorltL94+40uVhiKUIIIYQQou7UWXxF07T2QJJSqrerHgY8r5Qa\n66qfBFBKvezznHbA00Bj4B2l1NoKzuuJrxSmFHpu0iwVS5loJjROZsGFEEIIIUTN+TO+Up9WX2kN\npPnUR4EhvgcopQ4D957tRAceO0BGUgaOHIe+Wsr/yWopQgghhBCi/qpPTbnfpuwfX/E4XUZ1IbhV\nMNHR0fSL7Ed843jAm92Kj5e6PtZvvPEG/fr1qzfXI3XVa99cZH24Hqll/C6U2v21+nI9Ulevdn+t\nvlyP1Geu3X9OTU3F3+pTfGUokOgTX3kKcCqlXqnmec/Ljp6idiQnJ3v+AQhjkbEzNhk/45KxMzYZ\nP2NrEEsiVtCUBwJ7gSuAdGAjMFUptbua55WmXAghhBBC1LqGsCTiZ8BaoIumaWmapt2hlLIDDwDf\nAbuAhdVtyN0SExNL/ZpBCCGEEEIIf0lOTiYxMdGv5zTU5kFVITPlxia/xjMuGTtjk/EzLhk7Y5Px\nMzbDz5QLIYQQQgghvGSmXAghhBBCiBqQmfKzkEy5EEIIIYSoLZIprwKZKTc2ydYZl4ydscn4GZeM\nnbHJ+BmbzJQLIYQQQgjRgMhMuRBCCCGEEDUgM+VCCCGEEEI0INKUi3pFbtA1Lhk7Y5PxMy4ZO2OT\n8RNuDbIpl9VXhBBCCCFEbZHVV6pAMuVCCCGEEOJ8kEy5EEIIIYQQDYg05aJekdiRccnYGZuMn3HJ\n2BmbjJ9wk6ZcCCGEEEKIOiaZciGEEEIIIWpAMuVCCCGEEEI0INKUi3pFsnXGJWNnbDJ+xiVjZ2wy\nfsJNmnIhhBBCCCHqmGTKhRBCCCGEqAHJlJ+F7OgphBBCCCFqi+zoWQUyU25sycnJxMfH1/VliBqQ\nsTM2GT/jkrEzNhk/Y5OZciGEEEIIIRoQmSkXQgghhBCiBmSmXAghhBBCiAak3jblmqZ10DRttqZp\nX7jqxpqmzdM07T1N026u6+sTtUNu0DUuGTtjk/EzLhk7Y5PxE271tilXSh1SSt3t86XrgM+VUtOB\nSXV0WaKWbdmypa4vQdSQjJ2xyfgZl4ydscn4Cbdab8o1TftQ07STmqZtL/P1sZqm7dE0LUXTtCeq\ncKrWQJrrzw6/X6ioF7Kzs+v6EkQNydgZm4yfccnYGZuMn3A7HzPlc4Cxvl/QNC0AeMv19R7AVE3T\numuadpumaa9rmtaqgvMcBdq4/lxvZ/jB/7+Kqun5qvO8qhx7pmOq+1h9/nVdQxy/mj5e3a/XB/68\ntvowdmc7piaP1dfxa4j/9s52jPzb8+/5zufYnelxo41ffRi76j6vIfYttd7cKqV+AbLKfHkwsF8p\nlaqUsgELgKuVUh8rpR5WSqVrmhajadq7QH/XTPpiYLKmae8A39T2dZ8L+ct99scqOz41NfWs11Hb\nGuL4nY//sdSHsQNpyqvyWH0dv4b4b+9sx8i/Pf+ez4hNeX0Yv/owdtV9Xn3pW/zpvCyJqGlaeyBJ\nKdXbVV8PXKWUusdV3woMUUo96IfXkvUQhRBCCCHEeWH0JRFrtXFWStXpx/PPP18vzled51Xl2DMd\nU93HKjve3987Gb9ze7w6X68PY+fv66gPY3e2Y2ryWH0dv4b4b8+fY1Sfx66+jN/5HLuGNH71YezO\n9/j5q2/xp7pqyo/hzYfj+vPROroWv/P3drk1PV91nleVY890THUfq+z4+vBrvIY4fjV9vDpfrw9j\nB/4dv/owdmc7piaP1dfxa4j/9s52jPzb8+/5zufYnelxo41ffRi76j6vvvQt/lRX8ZVAYC9wBZAO\nbASmKqV2++G11Pl4T6J2TJs2jblz59b1ZYgakLEzNhk/45KxMzYZP2Mz1I6emqZ9BqwFumialqZp\n2h1KKTvwAPAdsAtY6I+GXBjftGnT6voSRA3J2BmbjJ9xydgZm4yfcDsvM+Xnk6Zp6vnnnyc+Pv68\n/KpBCCGEEEJcWJKTk0lOTmbGjBl+mylvkE15Re9J0/zy/RJl+PvvT3JysvwwZVAydsYm42dcMnbG\nJuNnbP6MrwT64yRG0dB+AKlr8oOOEEIIIYR/XFAz5Q3tvdY1+Z4KIYQQwi8cDlAKAl3zxUVFeh0W\npte5ufrniAj9s8Wifzab9c8nTuifW7TQP6el6c9v21avDx7U606d9HrvXr3u1k2vd+zQ69699Xrz\nZr0eMECvN27U6yFD9HrNGnjlFbSkJOPc6CmEEEIIccFTCmw2b71vH9x4I8THw/jx8PPP8Pvv3sc3\nbID167316tXwyy/e+qefYOVKb71iBSxf7q2XLoWkJG/9v//B4sXe+osvYOFCb/3pp/DJJ9563jz4\n8ENvPXs2zJrlrf/7X3jrLW89cya8/rq3/ve/4Z//9NYvvwz/+Ie3fuEFSEz01i+9BC++6K3ffBPe\neKP067/3XuXXW/b9rVihf7itXq1/uG3apH+47dmjf7gdOaJ/uGVk6B9uhYXg5+UsZaZc1FhtfE8l\nW2dcMnbGJuNnXDJ2deT0aSgpgdat9XrDBrBa9SYb9KYxPx+mT9frF1+E4mKYMUOvP/sMXniB5D17\niAcYMQL+8he45hr98eXL9dnjCRP0euVKvR4zRq9//hmcTu/rrVun1yNG6PVvv+n14MF6vXWrXvfv\nr9e7dul1r156vW+f/rlLF/1zaqr+g0SHDnp97Jhex8Xp9cmT+ufmzfXPWVn64zExep2XB5oG4eF6\nXVSk1yEheu106p9NtTM/7ChygBMCGgUAUHK6BJwQ3DwYAOtBKygI66TPxOdvy0c5FU36NQEgZ00O\nSimiRkYBkPldJkopzGP1mfnTX57m2PSl9M+8QzLlQgghhBA1VlysN9VN9CaMffv0iMTAgXq9YgWc\nOgW33qrX778Phw/D3/+u199+q0coHnlEr61WffbUbfhwvYl2e+opvSl1mzqV7f96XH/pDpFEfDab\niBZtaeR6OO+yESgUrrAGWcP1GEW0qz59cXcAmrrqE707oJSipas+2qUFSinPTo2p7SIBaO+qD7QI\nwamcdHbVe2MUCoUrzMHORgUoFK6WnW2BFhxOB/3Rm/Lf847idDgZ5GrKN6TuQ9kVQ2OGArBm8zaU\nQzHyspEArFq5AZxwacKlAPz0xSqcdidX3HIFAD98+APKrhg9fTQA3838Duxw1SNXAbD8peWoEsW4\n58fp3/5nv4ViGP/qeACW/nkplMCEd/QfYpY+sxRsMGnmJP34N75FORTXvnyt/vj8pSin4obnbwBg\nyYolKKdiar+pAHyz5Rtwwm0jbwPg66Nf41RO7uIuAL4q+orwxmGQid80yKY8MTHxgloS8YknnuCD\nDz4A4O677+bll1+u9NiVK1dy//33k5aWxpAhQ5g7dy5t3Xkrl5KSEvr27Ut+fj5paWm1eu1lXShj\n1hDJ2BmbjJ9xydi5nDwJ2dnQtate//orHD0K1+pNGF99pc8OP/OMXn/8sd6IuyMWhw7B8ePepjwu\nDqKivOefOrXUy6nbb8ehHJ5G6nC/DticNi5y1T9rRyjRSrgSPcP88bZPKHYUc/eAuwH4+89/Z+Fk\neLYIrknIof3XN3FTz5t48rInAfhw1Yc47A4eGa83/Z9+/ynY4f7r7gfgf9/+D1WimH6LPhO//Cu9\nab3jrjsAWPX5KlSR4tYH9B8qNny8AYqh/V/aA7Bl9hawQufn9bZ8z3/3oPIV3V7R2/JDrx+CAug1\nU2/Lj710DGVV9J+lz7SfnnMarMBr+vvNXpYNRcAgvbZutqJKFFym1/bjdvBJ72hKI8AZ4KlDmoWA\nz88wEX0iUA7vb+NjRseAzy/nW9zWolTd9rG2KM37hS5PdSn12/yej/TE18UPXFyqHnr3cJw+Jxx+\ny+Wl6mHXX4VvOCAoMpZ59i/wpwbblF8oZs2axddff822bdsAGD16NB06dODee+8td2xGRgaTJ0/m\ngw8+ICEhgWeffZYpU6awbt26Use9+uqrNGvWjIKCgvPyHoQQQggKC/XIgzsOkZKiZ3qv0GdSSU6G\nLVvgz3/W6/nz9Vz17Nl6/euv+s16T+pNLYGBEBTkPf+IEd6b9gDnXXdid9oJdtWHh3TDam/nmSle\nHZ5JblAu4131Z4eSsFgtPDD4AQBeXfsqWdYsXrryJf34I6sptBVyUYzelmuu/9xGtRuF0+H01Hcd\nvYsOH3bguP00Ly0N4bJrLyP4RLCnib3+wPU4ch24L2ByzmQced6u9ZqAa3Aobz2p+SScVu/5J3af\niLPYW0+4ZAJOm7ced924Uk3w2LvH4nR6u874J0bjPRqG/PMKlM9Mf9/nLiv1eJeHLylVt757WKk6\nZsrgUnXIuP6lavuIXjh8ut7s3l1K1cfadcChFK4wDnujWuNQCveI/maKxaEUfVz1T8VNcChFd1e9\npDAUh1L8xXVf6IJcE3al+KvrVw8fZetX85zr57Avc/VvzuOuekWe/nh3V20bMJTNb2tw3QL8RW70\nRF8q8ckn/3lO+eianmPhwoU0adLE8xESEsJll11W5efPmzePv/zlL7Rq1YpWrVrx6KOPVrpd7+LF\ni+nVqxeTJ08mODiYxMREtm7dyj53jgw4dOgQ8+fP56mnnqqTDH5ycvJ5f03hHzJ2xibjZ1z1ZuzK\n3sh44oSea3bbsgVcv9UF9Mz0Qw956x9+KH0jYFZW6RvpOnaEkSM9pWPydVhnvuapD4/szfY7Jnjq\ntbFWvurkvZ4vTq/i1aOfe+q3Nr7F0yuf9tS/pf9Gcmqypw40BRIcEOypR7UbxYTO3vM/NvwxT0MO\ncEufW7jn4ns89YiWIxgZ4r3eRt83ovjRYk99cmAIWlgbOAzdd3QnbWshhx6N9jy+Y0oY2+9u7Kk3\njAtk3fXeHzJ+HKn44Urvt2dJnxK+GlTiqRd2KOCTLt7JtQ/N2cxqlu19/8EZ/DvklKf+Z/FxXio5\n7qn/m3uSt3NOeOr5p07x0QlvvcRi4RufGx9X5+Twc7b3/DsKCtiWn++pjxYXc6SoyFPnORzk2e2e\nOkDTCPLJl5uDgmga7P3+dwoLo3OjRp764iZNGOReiQW4Ijqa0e48OzC5aVNuaNbMU9/ZsiXTW7Xy\n1I+2acMTPkmB59q357n27T31423b8rjP4w/FxfGQO08PTG/Vir7tSycNzlWDnCmvri+//I533jnO\noEErmDz5qvN6jilTpjBlyhQA8vLyGDJkCDfffDOvvPJKpTEUTdPIzNRDTLt27aJv376ex/r06cPO\nnTsrfN7OnTtLHduoUSM6derEjh076OK6sePBBx/kpZdeIjQ0tMrvQQghRAOUl6dnqt1LyB04oC8T\nd/31er1+vb66h7uRTkqCuXO9K2AcPAg//uiNg4SHe5erA2xDBlHS/SLcbeeRS/uRMSjOM/O5oZUi\ntVE4U1z1/wo3sb1gO39FP9+cXfPZfnI7b457E4Adp3ZwKPsQvZvrS9qFBobSONjb1I5sO5JBrQd5\n6gcHP1hqv43JPSaXevtD44aWquMi4krVZffqSD9VSM7mPLpfpc/0/7j8KLb5FsYt1OMe8/tZOdU7\nCHcbfyTGSZYrzr67K3z9KDzuc77owMBSM8UdQkNL1f3Dw8XdDUgAACAASURBVEvVl0ZFlZpMuzo2\ntlT9hxYtStUPtW5d6j381achBXisTLT1wbjS7/8enwYX4DafsQVKNcQACbGxpeoxPg00wCW+USFg\nsE/DDdDHfcOoSxefBh2gbZm+pZlPQw8QGVi65Q32ww2mX/TqQ/TZD6s6pVSD+tDfUnkVff3ddz9W\nPXpMUJ07P63AqTp3flr16DFBvfvuxxWeoyL+OIdSSjkcDjVhwgT1pz/9qVrPCwgIUHv37vXU+/bt\nU64VaMq566671JNPPlnqayNGjFDz5s1TSim1ePFiNX78eKWUUj/99JOKi4s742tX9r0WQghRD9jt\nSmVne+sTJ5T64QdvvXOnUi+/7K1XrVLq+uu99erVSt17r7fevVup99/3lMUnjqnc9T976sNZqWp9\n2npPvfHoRjV381xPnbQ3ST31w1Oe+pOtn6g/Lvmjp/7+wPfqzfVveuptJ7ap5SnLPfWp/FMqNSv1\n7O/bT2wOh8qz2Tz19rw89Z3F4qk/35uuZj23xVN/8WuaWjDtd0+9NS9PrfX5/pc4HMrpdJZ6jWt+\n3qSei/9Jjfxxo8oqKamNtyFqmasX8ksPe0HHV6ZPv4XExPspKnICGikpTnbteoD77rsFTdNvkq4s\nnp6YqD9+3323sGvX/aSk6OcoKnIyY8YDTJ9+S7Wu5ZlnnqGgoICZM2dW63nh4eHkuhfUB3Jzcwkv\n89NkZce6j2/SpAkFBQU8/vjjvPnmm9V6fSGEEHUkPx+uvtq7zvUvv8Bdd3kf37ABbr7ZW1sspdZp\nLm7SiLxuHT310W6tWP/XOzz1po5hvHePN4P9XeBhHo7z/iY2ybKOR05+5KkP5xxhbdpaT90kpAkt\nwr2zp8PbDOe+gfd56lv63MI7E97x1Fd2vJKHhnjjLL2b9+aqi7y/eW7auCntotqd8VtSHceLi/k9\nL89T/5KdzWs+ixssPH2axw8e9NT5hXYc0w97ZpvjW0Qz3OT9/+31A+OYMsf7/eoTHs6wyEhPHWQy\nlZtdnzO0F7vfakrSyH5E+ebfxQXpgm7KNU1D0zSys4vo0eMRmjSxsmiRhlIaSunxuDM15foxGl98\nodGkiX6O7Gyr57xVtWDBAhYuXMiiRYsICNDvRH7xxRdLZc19PyJ8fqXTs2dPtmzZ4qm3bt1KL/ea\no2X07NmTrVu3euqCggIOHDhAz549SUlJ4fDhw4waNYqWLVsyefJkjh8/TsuWLTniu3h+Las32UhR\nbTJ2xibjZxDuXQwBMjPJ+XkFyatWwbJl5L40g/VTRnge3tYpnP88N9ZT/xh2gnsHpHvrot08xLee\nOt2WyZr83Z46MiSStpHeCMPQuKE8OvxRTz25x2Ten/S+px7VbhQPD3vYU3eL7VaqqY4Jiyl1Pn+z\nOhwcK/ZmtncXFDDPJwP9XWYmt+/2vr8DVivfZXrXs2sfGsqIkCYo182ONzdrxp1Tc7Hn6rnnoc2i\nGHhLHO67E5tGhNLr+U7ndM1RQUH86fRpacgFcIE35QApKWnMmTOWHTv+zZw540hJqf4SgOdyjs2b\nN/Pggw/y1VdfYXZvFQs8/fTT5OXlVfjhO9t9++2389prr5Genk56ejqvvfYa06ZNq/C1rr32Wnbs\n2MHixYspKirihRdeoG/fvnTp0oXevXtz9OhRtm7dytatW5k9ezbNmzdn69atxJXJkQkhhDhP3DNE\noK+rPWiQvh42sD0kh1+b6ytEbGwFf5jk4JfG3qY9KjSKzubOnnpw68E8H/+8px7XeRxzrp5T6nHf\nprtTTCfGXuRt6iNDI8vlqmub0ycDfbKkhOU+P5RsysvjzykpnvrXvDye8ZnZDtI0Qn1yw5dERvKf\nzt7vx8ioKP7PGos9X2+624SGYhqdom8qgz5x1/PzngQ09i7b1/TapmgBftknRojy/JWDqS8fVCNT\nXh8kJiaqwMBAFR4e7vlw57qr6vHHH1cxMTEqJiZGPfHEE6Ue69mzp/r000899Q8//KC6deumwsLC\n1GWXXaYOHz5c4Tl/+ukn1aZNmzO+bn39ngohRINx1VVKbdumlFKqxF6i3tnwtieXXGQrUuPfGq4W\n9EDFv9FPZVmz6vJKq63Ablfb8vI89aHCQvX3VG9mfENOjhr+uzejvbegQL1w6JCnziopUZtzc6v1\nmpk/ZCprqtVT775jt8rd5D2H0+6s6GlCVMipryGplJ96WE2p87/sXW1y3eRY0ddpaO+1rsn3VAgh\n/GzmTOjRA67U17orSE0hKK4twYEhKKV4euXTPHvJs55VRbKLspmeNJ33Et4jKjTqTGeudUopch0O\nzyoXmTYb32RkMK2lvsfkAauVP+/fT1JvfXWU/YWFPJeayqc9egCQUVJCcnY217tW7XCvLBJQjTho\nWac+P0VI6xAiR+jZ7qNvHSViaAQRAyPO8kwhzu6Lr7/gxmtuRCnll1+fSFMuaqw2vqfJycmyO51B\nydgZm4xfHdmwAXJyYMwYvf79d33zHFds8OoFV/PY8McY2XZkpac4X2NX5HCwJjeXK6L1ReAySkp4\n5tAhZrl20Ey1WknYsYPtgwZ5Hn83PZ1nXUvtFTudHCkqKrXWtD8opTz3cZ2Yp2fIW/xBv8E0a2UW\nQU2DCO9T8QIIdc3pdDKsby/Wbd2ByQ9L9F2orDYrBbYC7E47DqdD/6wcRIZEYm5kLnf8kZwjHMo6\n5DnO/bzO5s50i+1W7vjf0n9j47GNnuNWL1nN6m9XE2qyc2RTpt+a8ga5TnliYiLx8fHyPxghhBD1\nS1aWvrX7kCF67XCU2nBnYch+ii07uT3udgAW37iYAFNARWc6Z06lOFxURIewMAAKHQ5eS0vzNNFZ\nNhvDN29m92B9D8VipXg/Pd3TlDcJDCTB516o9mFhnoYcIDY42HMugBCT6ZwbcqfdiT3bTnCsvgb1\n8bnHKdhewEX/1nfRjBwZiRbo7Y+ir/DrKtJ+N+OpxzDv2s0LTz9B4suvVnpcsb2YQlshdqe9VCMZ\nERJBTFhMuePTctI4nHPYe7yrUe0U06nCpnPT8U2lmk73awyLG8aodqPKHf/d/u9Ysm9J6aZWOZjU\nZVK59d4BPt76MXM2f4jTYQe7HafdBg4Htw64g+kjHyp3/Dvf/Z1PVr4ODgea3YFy2NGcTiZfdj+P\n3PBaueM/WfQcPy+fRSAawQQQ5NQIIoCLx/yBW28r/33d/tUs0r79jAClEezUCFAQqEwcG3893e55\nsdzx6uuv6bd4EQFKEeDUsB7N4mBqBjic+HMpjAbblAtjkh+kjEvGzthk/GrR6dPQtKn+57Q0+OIL\nT1Oe2b8bO0/txN329GvRr9TqXVVpyH3HznfW2KEUn508ya2uTV1sTifjtm3j+7590TQNm1KM27aN\n3YMHo2kawZpGoM9rRwUGktyvn6eODAxkQc+enjrEZGJimQ1h/M2WZcO630rEID1uYvnGQuaKTLq+\nq8/ON53clGY3eTepCesUVqvXcyZKKQpthWRaMz0fLcJb0L1p93LHXjVuMIdX/sogEyx1wrTX/0Wf\nf/+LVkM7s/yXfeWO//STJ/h9yXsEEUCwUyMIE0HKRJdxtzB1+n/KHb/zs5lYvv6MQKURqCDIqRGg\nNE5Mmky3h8o3tWrhQoYtWIjJCYFOhckJAU4ouukkPFm+Ke/y+UpeeO9zNKfC5HBicihMTifZ90bD\n38o35RMWbuK2l5JRJhMqwAQmEyowkIJHjkEFvwS6c1cI0xdHQVAgWkAABASiBQai+nQufzBwDwO4\nJyseAgIgMFD/HBAAjYZWePyEVpdCu5LSxwYGQpdLKjx+0JBrIbi957iLTSYaL5jP8qUrgeIKn1MT\nEl8RNSbfUyGEqIBS+kYWAJmZMHw47NoFrniCw+nwNNu7Tu9i3pZ5vDL6lWq/jFMpLtm8mQBNo7HJ\nxPwePWi7fj0ZI0YQYjKhlOKOPXuY3bUrga7XXpWdzajISEznkNOuTSWnS8hclkmL2/UfJPK35nNi\n3gkueu2i83odVpuVE/knSjXYmdZMusV247IOl5U7/oPvXuajL/9KM6uJtvbGtC4OoUVxEM2vvIYr\nHi6//0jmP57jx1deY11+Af9W8LAGg9q25YbnniPozrvKHc8338BXX5VvIq+6Sl+jvqw1a/Q16cs2\nqYMG6R9l7dmjf5Q9f4cO+kdZp09DRkb54yMioEmT8sc7nTiVhlNpuDfWtFr1fyruX55kZ+u16xcx\nnDql1831DVJJS9Nr90aj+/frtXtBnV279Nr9c+PmzXo9wLV0/Pr1ej1sGNjz7axZbkcVOxnYx4mz\nyMnGX5w4zSGM+YP+g92SJfrxCQmQsyaHNW9nQ4mTrh2cLP5tMZ+u/owO9uZ8xXKJr4iGSXKtxiVj\nZ2wyfn6iFFx8sf5/9FatICYGdu/2NOlWm5Ue7/Rg9/27CQ0MpUfTHtVqyDNKSmgUEECjgABMmsaR\noiLSNm6Efv24d98+T0MO+sTJ3O6lZ2kvjarbm0HLsmXZSH0+lc4zXZ2VBsVHvTOP4X3D/dKQH887\nzraT27BYLaWa7IGtBnJrn1vLHf/192/xw5f/pI2tES2Lg2leFEAfK4TFj4anyzfltx01c8e2AZia\nNgOzGVrH6p8HlZ9lBoh55gXWpReQ9d/X6GRqzCWqgJ8vu5GLR9xFV9cxO3fq6aY+fYBJk9gUNwmH\nw9tTr1sHTie4V6ZftUo//vLLgREjWFEwAocDxo3TH1+yBBzpcLXr+C+/1I+/8UagWzc+29wNux1u\nu01/fO5csB+Eu+/W6/feA7sd/vQnoGlT/rOgKXY7POxamv5f/9Iff/JJvX7xRT2Z9fzzgMnEiy8o\nnEUOnnpUb4Lfm+mkJDCAx/6hR5HmzdOv55FHIH97Pj+8mgclTkYN0Y/ftM5J4UWR3PKaHtdxN9md\nO8PJT09y9MXjUOLE2lg/Pj/TSfHYVjBP7+LdTT/A8feO43z5KASb2B1twhRqIqhYQ5vQEtCb8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6JOo39FlTrZxacIp2T559/e+Gam9hIZO2b+dIcTERAQG0Dw2lfWgowwPCeaBNHAGNA8o95/RX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\npVLSO5s+nk1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cXCfj2ZxlJuX9FMyZ5irHVE5xhUJxNspTrqgz6poqFPXk2DE9VqIsXmLh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YsSz9uwZwPD3htGTl4Oky+fTMsGUV0WELW8vNCOi/v2wcMPezq1iIiISEzETVFuZtcDvwOa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\n/T9uBcjkkuX/fwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1fac388110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from matplotlib import gridspec\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from numpy import log10, loadtxt\n",
"from modules.analytic import Ee, Delta, pi\n",
"\n",
"fig = figure(figsize=(12,9))\n",
"ax = fig.add_subplot(111,projection='3d') \n",
"\n",
"fig1 = figure(figsize=(12,12))\n",
"gs1 = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"fig1.subplots_adjust(hspace=0.001)\n",
"ax11 = fig1.add_subplot(gs1[0])\n",
"ax12 = fig1.add_subplot(gs1[1],sharex=ax11)\n",
"\n",
"fig2 = figure(figsize=(12,12))\n",
"gs2 = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"fig2.subplots_adjust(hspace=0.001)\n",
"ax21 = fig2.add_subplot(gs2[0])\n",
"ax22 = fig2.add_subplot(gs2[1],sharex=ax11)\n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_EGMF.dat\")\n",
"dt_mean = loadtxt(\"Results/delay_mean_vs_EGMF.dat\")\n",
"theta_mean1 = loadtxt(\"Results/theta_mean_vs_EGMF-gen=1.dat\")\n",
"dt_mean1 = loadtxt(\"Results/delay_mean_vs_EGMF-gen=1.dat\")\n",
"theta_mean2 = loadtxt(\"Results/theta_mean_vs_EGMF-gen=2.dat\")\n",
"dt_mean2 = loadtxt(\"Results/delay_mean_vs_EGMF-gen=2.dat\")\n",
"\n",
"Redshifts = theta_mean[1:,0]\n",
"B = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"for z in Redshifts:\n",
" p=ax.plot(log10(theta_mean[i,1:]),log10(dt_mean[i,1:]),log10(B),\":*\",label=\"z=%1.2f\"%z)\n",
" \n",
" ax11.plot(B,theta_mean[i,1:],'--*',color=p[0].get_color(),linewidth=2)\n",
" ax12.plot(B,dt_mean[i,1:] ,'--*',color=p[0].get_color(),linewidth=2,label=\"z=%1.2f\"%z)\n",
" \n",
" ax21.plot(B,Delta(Ee(1000,float(z)),B,1,float(z)),linestyle='-',color=p[0].get_color()) \n",
" ax21.plot(B,theta_mean1[i,1:],'--*',color=p[0].get_color())\n",
" ax21.plot(B,theta_mean2[i,1:],':.',color=p[0].get_color())\n",
" ax22.plot(B,dt_mean1[i,1:] ,'--*',color=p[0].get_color(),label=\"z=%1.2f\"%z)\n",
" ax22.plot(B,dt_mean2[i,1:] ,':.',color=p[0].get_color())\n",
" \n",
" i+=1\n",
"\n",
"ax.legend(loc=\"best\")\n",
"ax.set_xlabel(\"$\\\\theta$ [deg]\")\n",
"ax.set_ylabel(\"Time delay [yrs]\")\n",
"ax.set_zlabel(\" log B [Gauss]\")\n",
"\n",
"ax11.set_xscale('log') \n",
"ax11.set_yscale('log')\n",
"#ax11.set_ylim([0.8e-3,20])\n",
"ax11.grid(b=True,which='major')\n",
"#ax11.legend(loc=\"best\")\n",
"ax11.set_xlabel(\"B [Gauss]\")\n",
"ax11.set_ylabel(\"average arrival angle [degre]\")\n",
"xticklabels = ax11.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax12.set_xscale('log') \n",
"ax12.set_yscale('log')\n",
"#ax12.set_ylim([0.5e3,0.8e10])\n",
"ax12.grid(b=True,which='major')\n",
"ax12.legend(loc=\"best\")\n",
"ax12.set_xlabel(\"B [Gauss]\")\n",
"ax12.set_ylabel(\"average time delay [yrs]\")\n",
"\n",
"ax21.set_xscale('log') \n",
"ax21.set_yscale('log')\n",
"#ax21.set_ylim([0.8e-4,20])\n",
"ax21.grid(b=True,which='major')\n",
"#ax21.legend(loc=\"best\")\n",
"ax21.set_xlabel(\"B [Gauss]\")\n",
"ax21.set_ylabel(\"average arrival angle [degre]\")\n",
"xticklabels = ax21.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax22.set_xscale('log') \n",
"ax22.set_yscale('log')\n",
"ax22.set_ylim([1,0.8e9])\n",
"ax22.grid(b=True,which='major')\n",
"ax22.legend(loc=\"best\")\n",
"ax22.set_xlabel(\"B [Gauss]\")\n",
"ax22.set_ylabel(\"average time delay [yrs]\")\n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Figures show, respectively, the mean arrival angle and the mean time delay in \n",
"the GeV band versus extragalactic magnetic field amplitude for a source at \n",
"different redshifts. For magnetic field stronger than $10^{-14}$G, whatever is \n",
"the redshift, mean time delay and arrival angle is constant because leptons are \n",
"trapped in a region closed to there production site. Thus all the photons seems \n",
"arriving under the same angle and the time delay is isotropized. This \n",
"isotropization appends because Larmor radius is really smaller than the \n",
"coherence length of the magnetic field (EGMF).\n",
"\n",
"\n",
"For soft magnetic field ($B \\ll 10^{-12}$G), both, time delay and halo show a \n",
"dependency on the magnetic field amplitude as predicted by equations \n",
"$$\n",
"\\theta = \\arcsin \\left( \\frac{\\lambda_{\\gamma \\gamma}}{D_s} \\sin\\delta \\right)\n",
"$$\n",
"and \n",
"$$\n",
"c \\Delta t = \\lambda_{\\gamma\\gamma} (1- \\cos \\delta) - D_s (1- \\cos \\theta)\n",
"$$ \n",
"The stronger the magnetic field, the \n",
"more deflected the leptons and thus the arrival angle. Mean size \n",
"of the halo and time delay is also affected by the redshift of the source. The \n",
"further the source, the lower the halo extension and the time delay between \n",
"photons. Indeed the size of the halo is corresponding to a virtual source of \n",
"size $\\lambda_{\\gamma\\gamma}$. The further this virtual source, the smaller the \n",
"observed angular size. Moreover previous equation shows that \n",
"time delay is directly related to the arrival angle. This equation point out \n",
"that if distance to the source (i.e. redshift) grows then time delay will be \n",
"reduced as highlighted in time delay panel. \n",
"\n",
"Finally, it appears that measure amplitude of the extragalactic magnetic field \n",
"through halos requires to select the sources. If the EMGF is too weak \n",
"($<10^{-16}$G), halo effect can be observed only on close sources. Far sources \n",
"will appear as point sources. On the other hand, intermediate magnetic field \n",
"amplitude ($10^{-16} \\textrm{G}<\\textrm{B}<10^{-14}$G) can study on further \n",
"sources. At the opposite, time delay study requires weak magnetic field\n",
"and far sources (z$>0.5$), otherwise average time delay is upper than ten years."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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PHozu3bvDx8cHmzdvRkxMzC33lZeXhxB17R6A9u3bIygoCN7e3shUnwHvaPWZJnf2BY3g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\n7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tWRZ0Zhju4jEBERyWYp7ene7sKlQEfgBXevbmoCzaGiW4K2tqaGn3z2GQ8cdBAAm+rq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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff30fd12e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from matplotlib import gridspec\n",
"from numpy import zeros, loadtxt, size\n",
"\n",
"fig1 = figure(figsize=(12,12))\n",
"gs1 = gridspec.GridSpec(3, 1, height_ratios=[1,1,1]) \n",
"fig1.subplots_adjust(hspace=0.001)\n",
"ax11 = fig1.add_subplot(gs1[0])\n",
"ax12 = fig1.add_subplot(gs1[1],sharex=ax11)\n",
"ax13 = fig1.add_subplot(gs1[2],sharex=ax11)\n",
"\n",
"ratio_gen = loadtxt(\"Results/ratio_gen_EGMF.dat\")\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_EGMF.dat\")\n",
"dt_mean = loadtxt(\"Results/delay_mean_vs_EGMF.dat\")\n",
"\n",
"Redshifts = ratio_gen[1:-1,0]\n",
"B = ratio_gen[0,1:]\n",
"ratio = zeros(size(Redshifts))\n",
"i=0\n",
"for z in Redshifts:\n",
" ratio[i] = sum(ratio_gen[i+1,1:])/size(B)\n",
" i+=1\n",
" \n",
"ax13.plot(Redshifts,ratio ,'k:.')\n",
"\n",
"for Bi in [1,4,7,10]:\n",
" ax11.plot(Redshifts,theta_mean[1:-1,Bi],':.',label=\"%1.1e G\"%B[Bi-1])\n",
" ax12.plot(Redshifts,dt_mean[1:-1,Bi] ,':.')\n",
"\n",
"ax11.set_xscale('log') \n",
"ax11.set_yscale('log')\n",
"ax11.set_ylim([8e-2,2e1])\n",
"ax11.grid(b=True,which='major')\n",
"ax11.legend(loc=\"best\")\n",
"ax11.set_ylabel(\"average arrival angle [degre]\")\n",
"xticklabels = ax11.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax12.set_xscale('log') \n",
"ax12.set_yscale('log')\n",
"ax12.set_ylim([5e6,5e9])\n",
"ax12.grid(b=True,which='major')\n",
"ax12.legend(loc=\"best\")\n",
"ax12.set_ylabel(\"average time delay [yrs]\")\n",
"xticklabels = ax12.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax13.set_xscale('log') \n",
"ax13.set_ylim([0.1,0.38])\n",
"ax13.grid(b=True,which='major')\n",
"ax13.legend(loc=\"best\")\n",
"ax13.set_xlabel(\"redshift\")\n",
"ax13.set_ylabel(\"ratio gen 2 / gen 1\")\n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact of the coherence length $\\lambda_B$"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0 0 1000.0\n",
"0 1 0.001\n",
"0 2 0.01\n",
"0 3 0.1\n",
"0 4 1.0\n",
"0 5 10.0\n",
"0 6 100.0\n",
"0 7 1000.0\n",
"1 0 0.00141675310764\n",
"1 1 0.000184119400397\n",
"1 2 0.000203380907224\n",
"1 3 0.000583148490069\n",
"1 4 0.000928476163098\n",
"1 5 0.000965832346917\n",
"1 6 0.00102696380634\n",
"1 7 0.00141675310764\n",
"[[ 0.00e+00 1.00e-03 1.00e-02 1.00e-01 1.00e+00 1.00e+01\n",
" 1.00e+02 1.00e+03]\n",
" [ 1.40e-01 1.84e-04 2.03e-04 5.83e-04 9.28e-04 9.66e-04\n",
" 1.03e-03 1.42e-03]]\n",
"========================================\n",
"[[ 0.00e+00 1.00e-03 1.00e-02 1.00e-01 1.00e+00 1.00e+01\n",
" 1.00e+02 1.00e+03]\n",
" [ 1.40e-01 1.09e+06 1.72e+06 7.83e+06 1.92e+07 2.20e+07\n",
" 2.52e+07 4.29e+07]]\n"
]
}
],
"source": [
"from numpy import zeros, size, nditer, average, savetxt, set_printoptions\n",
"from matplotlib.pyplot import figure, show\n",
"from modules.read import select_events\n",
"from modules.constants import degre, yr\n",
"\n",
"Redshifts=[\"0.14\"]#,\"1\",\"2\"] # add z=0.04 and z=0.4 (EGMF=1e-15G) -> missing simulations\n",
"L_Bs=[\"0.001\",\"0.010\",\"0.100\",\"1\",\"10\",\"100\",\"1000\"]\n",
"\n",
"theta_mean=zeros((size(Redshifts)+1,size(L_Bs)+1))\n",
"dt_mean=theta_mean.copy()\n",
"\n",
"def compute_mean_delay_and_theta(i,j):\n",
" if i==0:\n",
" theta_mean[i,0]=0\n",
" dt_mean[i,0]=0\n",
" theta_mean[i,j]=L_Bs[j-1]\n",
" dt_mean[i,j]=L_Bs[j-1]\n",
"\n",
" else:\n",
" theta_mean[i,0] = Redshifts[i-1]\n",
" dt_mean[i,0] = Redshifts[i-1]\n",
" if (L_Bs[j-1]==\"1\"):\n",
" fileId=\"Simulations/z=\"+Redshifts[i-1]+\"/EGMF=1e-15G\"\n",
" else:\n",
" fileId=\"Simulations/z=\"+Redshifts[i-1]+\"/lambda_B=\"+L_Bs[j-1]+\"Mpc\"\n",
" weight, energy, time, theta_arrival, theta, phi, gen = select_events(fileId,Erange=[1,1e3],powerlaw_index=1.2)\n",
" dt_mean[i,j]=average(time,weights=weight)/yr\n",
" theta_mean[i,j]=average(theta_arrival,weights=weight)*degre\n",
" \n",
"it=nditer(theta_mean, flags=['multi_index'], op_flags=['readwrite'])\n",
"while not it.finished:\n",
" compute_mean_delay_and_theta(it.multi_index[0],it.multi_index[1]) \n",
" it.iternext()\n",
" \n",
"set_printoptions(precision=2)\n",
"print(theta_mean)\n",
"print \"========================================\"\n",
"print(dt_mean)\n",
"\n",
"savetxt(\"Results/theta_mean_vs_LB.dat\",theta_mean,fmt='%1.4e')\n",
"savetxt(\"Results/delay_mean_vs_LB.dat\",dt_mean,fmt='%1.4e')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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jmqYJRVHQ6XQAABMTE7HenLIkpthxlJU5iyIiCDEJ4gUrejODD36wjA98oIsl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vsbPWteq69mfLZbtmzBJZdcglmzZuGss87y7T3zCQIbAC9gH3RaeYqiWBH50/ocHgus2G3wurq6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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2d877d3950>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ukLfckm3rN348fPWr5eMWLIClavk3P0lSW8vtjpSLnOBoYAywBvA4sB3wILBr\nb0/al7wjpaRF3XsvnHUW/P73MGfOwuMPPli56LbgliR1p5F3pHwG2Bp4MMa4eQhhA+DMGOMX6z57\nnVzpTlupVPIvSwlr1fxuuy3bXSQE2G67hdv6bbSRd4Ps1KrZqTbmly6zS1vuK93A7Bjj+yEEQgiD\nYox/DSGs39sTSlI9Ou8G+de/wkknlb++667wi19khfeqqzZ+fpIkVVLLSveNwJHAN4HPAW8DA2OM\ne+Y/ve650i21hzfeyFawb74Z7rwTZs3KLoJ84w0YNqzZs5MktYPcV7oXaSMphhBKwBDg9t6eUJJ6\nIkb49Kfh9dcXHuu8G+T8+c2blyRJPdGjS4hijKUY480xxrl5TUjtw/1K09bX+c2bV3lv7BDgC1+A\nUaPgwgvhH/+Axx6DsWNh5ZX7dAptw5+9tJlfusyuvdXS0y1JuZg+PbsL5C23ZL+OGwfHH18+7sIL\nvQhSkpS2mvbpblX2dEtpuvfebKX63nvhgw8WHv/a1+CSS5o3L0mSutKI3UsIIawNrBtjvDuEMJjs\nQkpvBS+pVxYsyPbRHjAACgXvBilJ6v+q9nSHEI4BrgUmdBz6OHBjnpNSe7C3LW3d5TdzJtx4Y7aa\nXckOO8BVV2W7j/zhD9nWfxbcjePPXtrML11m195quZDyBOCzwAyAGOPfAXe/ldpYjJGLL76aRdu7\nXn4ZLroI9twzu8Bx//2hWITXXit//9JLw8EHu92fJKl91NJeMifGOCd0XMUUQhgItEwjtbeBT5eZ\npev66+/g1lsHc8MNdzJ69EhihM9+Fl56KXs9BNh++6xtZOmlmztXlfNnL23mly6zS1MjbwM/HpgO\nfAU4ETge+L8Y4/fqPnudvJBSaqwJE67g3HMnMW/eZkye/APWW+90ll76ScaMOYgXXjiMv/89K7T3\n2su7QUqS+pd6L6Sspb3kVOAN4GngWOA3wOm9PaHUyd629IwYcShf+MIJzJ69ALiH2bMXMHbsiRxz\nzKH86EdZH/cRR1hwtzp/9tJmfukyu/ZWyx0p5wMXdzwktaHp0+Eb34ArrgistFJg/vzZrLXWBUyb\ntjohBIKbaEuS1K1a2kueJuvhXvT/qu8ADwM/iDG+ld/0umd7iZS/u+6CI4/MLpRcbjnYbbdL+MpX\n1mT06D244YY7mTx5Kqee+rVmT1OSpFzV215Sa0/3B8BVZIX3QcBg4HVghxjjPr09eb0suqV8jRsH\np3c0k22HwhATAAAgAElEQVS7LVx+OXzqU82dkyRJzdCInu7dYoynxRifjjE+FWP8LrBzjPEsYO3e\nnliyt6317bADLLtsVnzff//iBbf5pcvs0mZ+6TK79lbLloEDQgjbxhj/DBBC2IaFxfoHXb9NUuoK\nBXjxRVhttWbPRJKktNXSXrI1MBFYoePQu8BRwF+AvWKMv851ht3PzfYSSZIk5S73nu5FTjQUiDHG\nd3p7sr5m0S3Vb/58+PGPsx1Kxo1r9mwkSWpNjejpJoSwN3AM8M0QwvdDCN/v7QmlTva2Nd/zz2ct\nJP/5n3DWWfDcc7W/1/zSZXZpM790mV17q1p0hxAmAAcCY8h2LzkQWCvneUnKUYxw8cWw2WbZBZKr\nrQa33grrrtvsmUmS1D/VtE93jHHTEMJTMcZPhxBWAG6PMX62MVPsdm62l0i9cNZZcNpp2dcHHQQX\nXADDhzd3TpIktbJGtJe83/HreyGE1cl2LPlob08oqfmOOgo22ACuvjp7WHBLkpSvWoruW0IIw4Dx\nwKPAFODqPCfVE8Vi0R6pRJlb86yyCjzzTLbK3Vvmly6zS5v5pcvs0lQqlSgWi3V/Trf7dIcQlgJ+\nH2N8G7g+hHAbMCjGOL3uM/eRvvgmSP3Z7NkwaFD58QEDGj8XSZJSUygUKBQKjB07tq7PqaWn+4kY\n4+Z1nSUn9nRLXZs5E04+GZ56Cu67DwbWcissSZJUUSN6uu8OIRwQQuj1SSQ11v33ZzuTXHwxPPYY\nPPxws2ckSVJ7q6XoPg74NTA3hPBux2NGzvNSG7C3re/Nnp3tub3TTvDCC7D55vDII7D99n1/LvNL\nl9mlzfzSZXbtrWrRHWNcIca4VIxx6Rjjih2PIY2YnKSeueYaGD8eQoDTT4c//xk23bTZs5IkSbX0\ndC8FHAqsE2P87xDCmsBHY4wPNWKC3bGnW1rcggVw3HFw5JGw3XbNno0kSf1HvT3dtRTdFwELgF1j\njBuEEIYDd8YYt+rtSfuKRbckSZIaoREXUm4bYzyejpvkxBinAUv39oRSJ3vbem/BAvjb35o7B/NL\nl9mlzfzSZXbtrZaie24I4cMdfUMIq5CtfEtqgqlTYY89YNtt4eWXmz0bSZJUi1raSw4DDgS2BH4J\nHACcHmP8df7T657tJWonMcIVV8A3vgHvvAMrrwzXX5/tVCJJkvKVe093x0k2BD7X8fR3McZne3vC\nvmTRrXbxxhtw7LFw443Z8333zfbg/shHmjsvSZLaRe493SGE84BhMcbzOx4tUXArffa21W7qVLjl\nFlhxRZg4EW66qfkFt/mly+zSZn7pMrv2VsuNoR8FTg8hbADcAEyKMT6S77QkLWqLLeCyy+Czn4W1\n1mr2bCRJUk/V1F4CEEIYAewPHAysGWNcN8+J1cL2EkmSJDVCI7YM7LQusAGwFmCLiZSD99/P7iop\nSZL6l1p6us8OIUwG/ht4BtgyxrhP7jOrUbFYtEcqUea2uIcfztpIDjoIbr212bOpzvzSZXZpM790\nmV2aSqUSxWKx7s+ppaf7BWD7GOObdZ8tB33xTZCaad48GDcOfvADmD8fNtwQVlut2bOSJEkAhUKB\nQqHA2LFj6/qcWrcMHAasBwzqPBZjvLeuM/cBe7qVupdegtGj4dFHIQQ46aSs+F5uuWbPTJIkLare\nnu6qK90hhKOBMcAawOPAdsCDwK69PamkzLBh8Oab2Y4kv/wl7Lxzs2ckSZLyUMuFlN8EtgGmxBh3\nAT4DvJPrrNQW7G2DIUPgttvgqafSK7jNL11mlzbzS5fZtbdaerpnxxjfDyEQQhgUY/xrCGH93Gcm\ntYmNN272DCRJUt6q9nSHEG4EjiRb8f4c8DYwMMa4Z/7T65493UrF66/DD38IZ58NgwZVHy9JklpL\n7j3dMcYvdnxZDCGUgCHA7b09odRurrsOjjsO3noLVlghK74lSVJ76cnNcYgxlmKMN8cY5+Y1IbWP\n/t7b9vbbcNhh8O//nhXcu+8Oxx/f7Fn1nf6eX39mdmkzv3SZXXurpadbUg+9/jpstRW88kq2/d//\n/A98/evZtoCSJKn91LRPd6uyp1utKkY44AB49VW4/HJYb71mz0iSJNWj3p5ui24pJzNmwODBMNB/\nT5IkKXn1Ft096umW+lJ/6W3r6u99Q4b074K7v+TXjswubeaXLrNrbxbdUh2eegp22AH+/vdmz0SS\nJLUy20ukXpg/P7s48vvfh7lz4UtfgkmTmj0rSZKUl9z36Za0uOefh69+FR54IHt+3HEwfnxz5yRJ\nklqb7SVqmhR72957D7bfPiu4V1sNfvMb+NnPspvetJsU81PG7NJmfukyu/bmSrfUA4MHw+mnw5/+\nBOefD8OHN3tGkiQpBfZ0Sz0Uoze5kSSp3bhloJSTGTMqbwdowS1JknrKoltN08q9bb/5Day/Plx1\nVbNn0rpaOT91z+zSZn7pMrv2lnzRXSwW/U2sPvPuu3DMMbDXXvD663DNNc2ekSRJaqZSqUSxWKz7\nc+zpljrcd1+2FeCLL8Iyy8C4cXDSSTBgQLNnJkmSmq3enm6LbglYsAA23xyefho+8xm4/HLYZJNm\nz0qSJLUKL6RUslqpLWippWDixIXbAVpwV9dK+alnzC5t5pcus2tv7tMtddhyy+whSZLU12wvUdv5\n+9+zu0muuGKzZyJJklJhe4lUowUL4Lzzst7tb32r2bORJEntxKJbTdPI3rapU2GPPWDMGHj/fZg7\nF+bPb9jp+yV7E9Nldmkzv3SZXXuz6Fa/17kTye9+ByuvDDfcAL/8pVsBSpKkxrGnW/3eUUfBpZfC\nfvvBhAnwkY80e0aSJCk17tOd8PzVGDNmwK23wsEHQ+j1j4okSWpnXkipZDWqt23IEDjkEAvuvmZv\nYrrMLm3mly6za28W3eo3/vAHeOKJZs9CkiSpnO0lSt7778Npp8E558DGG8Mjj8CgQc2elSRJ6k/q\nbS/xjpRK2sMPw1e+An/9KwwcCAce6K4kkiSp9dheoqapt7dt/HjYfvus4N5oI/jTn+D734ell+6b\n+al79iamy+zSZn7pMrv2ZtGtZH30o9ldJk8+GR59FLbcstkzkiRJqsyebiUrRnjmGdh002bPRJIk\n9Xfu053w/CVJkpQG9+lWsmrpbYsRfvEL+PnP85+PesbexHSZXdrML11m197cvUQt6/XX4Wtfg9tu\ng+WWg89/HlZfvdmzkiRJ6jnbS9SSrrsOjjsO3noLhg6FCy7wNu6SJKl5bC9RvzNuHPz7v2cF9x57\nZBdLeht3SZKUMotuNU1XvW0HHAArrwwXXgi3325LSauyNzFdZpc280uX2bU3e7rVctZfH6ZMgeWX\nb/ZMJEmS+oY93WqKGCOnnTaeceO+zYAB9o1IkqTWZk+3kjRp0h385CevseOOd+LfmyRJUn9n0a1e\nmz8/u9jx+efhkUfgrrvg2muzY5V85Suw6qpXMHDg3hxyyH3MnbsvDz54L+uuuzcTJlzR2MmrbvYm\npsvs0mZ+6TK79mZPtz705JMwdSpMnw5vv73w1+OPh3XXLR+/007wxz+WH7/nnuy1JU2dCm+8cSgw\nArgXCKy66gJ+9KMTGT16ZB/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sutU09ralzfzSZXZpM790mV17s+iWJEmScmZPtyRJklSF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\nFAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2d877e3190>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from matplotlib import gridspec\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from numpy import log10, loadtxt, arange\n",
"from modules.constants import yr\n",
"from modules.analytic import Ee, Delta, Dic, RL\n",
"\n",
"fig = figure(figsize=(12,9))\n",
"ax = fig.add_subplot(111,projection='3d') \n",
"\n",
"fig1 = figure(figsize=(12,12))\n",
"gs = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"fig1.subplots_adjust(hspace=0)\n",
"ax1 = fig1.add_subplot(gs[0])\n",
"ax2 = fig1.add_subplot(gs[1],sharex=ax1)\n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_LB.dat\")\n",
"dt_mean = loadtxt(\"Results/delay_mean_vs_LB.dat\")/yr\n",
"\n",
"Redshifts = theta_mean[1:,0]\n",
"LB = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"\n",
"nLB = 5000\n",
"LBmin = 1e-4\n",
"LBmax = 1e4\n",
"L = LBmin*(LBmax/LBmin)**(arange(nLB)/(nLB-1.))\n",
"for z in Redshifts:\n",
" p=ax.plot(theta_mean[i,1:],log10(dt_mean[i,1:]),log10(LB),\":*\",label=\"z=%1.2f\"%z)\n",
" ax1.plot(LB,theta_mean[i,1:],'--*',color=p[0].get_color(),linewidth=2)\n",
" #ax1.plot(L,Delta(Ee(1000,float(z)),1e-15,L,float(z)),linestyle='-',color=p[0].get_color())\n",
" #ax1.axvline(x=Dic(Ee(1000,float(z)),float(z)),ymin=0.,ymax=10.,color=p[0].get_color(),linestyle='--')\n",
" ax2.plot(LB,dt_mean[i,1:],'--*',color=p[0].get_color(),linewidth=2,label=\"z=%1.2f\"%z)\n",
" i+=1\n",
"\n",
"ax.legend(loc=\"best\")\n",
"ax.set_xlabel(\"$\\\\theta$ [deg]\")\n",
"ax.set_ylabel(\"Time delay [yrs]\")\n",
"ax.set_zlabel(\" log $\\\\lambda_B$ [Mpc]\")\n",
"\n",
"ax1.set_xscale('log') \n",
"ax1.set_yscale('log')\n",
"#ax1.set_ylim([0.5e-6,10])\n",
"ax1.grid(b=True,which='major')\n",
"#ax1.legend(loc=\"best\")\n",
"ax1.set_xlabel(\"$\\\\lambda_B$ [Mpc]\")\n",
"ax1.set_ylabel(\"average arrival angle [degre]\")\n",
"xticklabels = ax1.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax2.set_xscale('log') \n",
"ax2.set_yscale('log')\n",
"#ax2.set_ylim([1e4,0.5e8])\n",
"ax2.grid(b=True,which='major')\n",
"ax2.legend(loc=\"best\")\n",
"ax2.set_xlabel(\"$\\\\lambda_B$ [Mpc]\")\n",
"ax2.set_ylabel(\"average time delay [yrs]\")\n",
"\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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3uf322/Wtb31L+/btG7L9v/7rv7R27Vp9/etf1969e7V371795Cc/0R//+Ecd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iJk6z/++COmT58uN4+sSCTC+vXr0atXL7Rv3x6zZs3Cy5cvZdvv37+PiRMnwsrKCpaWlggKCqpP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\nERER+Y3/D+4PT6jgtllhAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4374bc4790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from matplotlib import gridspec\n",
"from numpy import arange\n",
"from modules.analytic import Ee, RL, lambdaIC, Dic\n",
"\n",
"fig = figure(figsize=(16,12))\n",
"gs = gridspec.GridSpec(2, 1, height_ratios=[1,3]) \n",
"fig.subplots_adjust(hspace=0.001)\n",
"ax1 = fig.add_subplot(gs[0])\n",
"ax2 = fig.add_subplot(gs[1],sharex=ax1)\n",
"\n",
"nz = 5000\n",
"zmin = 2.3e-3\n",
"zmax = 4.\n",
"z = zmin*(zmax/zmin)**(arange(nz)/(nz-1.))\n",
"\n",
"ax1.plot(z,Ee(1000,z)*1e-3 ,color='k',linestyle='-' ,label=\"$E_\\gamma = 1$TeV / $E_e$ ~ %1.1f TeV\"%(Ee(1000)*1e-3))\n",
"ax1.plot(z,Ee(1,z)*1e-3 ,color='k',linestyle='--',label=\"$E_\\gamma = 1$GeV / $E_e$ ~ %1.1f TeV\"%(Ee(1)*1e-3))\n",
"ax2.plot(z,RL(Ee(1000,z),1e-15),color='k',linestyle='-' ,label=\"$E_\\gamma = 1$TeV / $R_L$ ~ %1.1f Mpc\"%(RL(Ee(1000),1e-15)))\n",
"ax2.plot(z,RL(Ee(1,z),1e-15) ,color='k',linestyle='--',label=\"$E_\\gamma = 1$GeV / $R_L$ ~ %1.1f Mpc\"%(RL(Ee(1),1e-15)))\n",
"ax2.plot(z,Dic(1000,z) ,color='b',linestyle='-')\n",
"ax2.plot(z,lambdaIC(z) ,color='r',linestyle='-')\n",
"\n",
"label=\"z=0.0308 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.0308),lambdaIC(0.0308)*1e3)\n",
"ax1.axvline(x=0.0308,ymin=0.,ymax=10.,color='r',linestyle='--')\n",
"ax2.axvline(x=0.0308,ymin=0.,ymax=10.,color='r',linestyle='--',label=label)\n",
"label=\"z=0.1 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.1),lambdaIC(0.1)*1e3)\n",
"ax1.axvline(x=0.1 ,ymin=0.,ymax=10.,color='b',linestyle='--')\n",
"ax2.axvline(x=0.1 ,ymin=0.,ymax=10.,color='b',linestyle='--',label=label)\n",
"label=\"z=0.5 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.5),lambdaIC(0.5)*1e3)\n",
"ax1.axvline(x=0.5 ,ymin=0.,ymax=10.,color='g',linestyle='--')\n",
"ax2.axvline(x=0.5 ,ymin=0.,ymax=10.,color='g',linestyle='--',label=label)\n",
"label=\"z=1 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,1),lambdaIC(1)*1e3)\n",
"ax1.axvline(x=1 ,ymin=0.,ymax=10.,color='m',linestyle='--')\n",
"ax2.axvline(x=1 ,ymin=0.,ymax=10.,color='m',linestyle='--',label=label)\n",
"label=\"z=2 - $D_{ic}$ = %1.2f kpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,2)*1e3,lambdaIC(2)*1e3)\n",
"ax1.axvline(x=2 ,ymin=0.,ymax=10.,color='c',linestyle='--')\n",
"ax2.axvline(x=2 ,ymin=0.,ymax=10.,color='c',linestyle='--',label=label)\n",
"\n",
"\n",
"ax1.set_title(\"B=$10^{-15}$G\")\n",
"\n",
"ax1.set_xscale('log') \n",
"ax1.set_yscale('log')\n",
"ax1.set_ylim([0.2,40])\n",
"ax1.grid(b=True,which='major')\n",
"ax1.legend(loc=\"best\")\n",
"ax1.set_ylabel(\"$E_e$ [TeV]\")\n",
"xticklabels = ax1.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax2.set_xscale('log') \n",
"ax2.set_yscale('log')\n",
"#ax2.set_ylim([0.2,40])\n",
"ax2.grid(b=True,which='major')\n",
"ax2.legend(loc=\"best\")\n",
"ax2.set_ylabel(\"$R_L$ / $D_{ic}$ (blue) / $\\lambda_{ic}$ (red) [Mpc]\")\n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$R_L$ ne dépend pas du redshift (z) en première approximation \n",
"\n",
"| $\\lambda_B $ | $>R_L$ = 19 Mpc | $< R_L$ = 0.6 Mpc |\n",
"|:------------:|:--------------------------------:|:--------------------------------:|\n",
"| $>D_{ic}(z)$ | leptons coincés dans une cellule | leptons coincés dans une cellule |\n",
"| $<D_{ic}(z)$ | leptons coincés dans une cellule | isotropisation (~) |\n",
"\n",
"\n",
"* $\\theta_{mean}$: si cas \"leptons coincés dans une cellule\" => déflexion moyenne tout le temps la même (haute) \n",
"* $\\theta_{mean}$: si cas \"isotropisation\" => déflexion moyenne plus basse\n",
"\n",
"résultats très différents des estimations analytiques!"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}