228 lines
133 KiB
Plaintext
228 lines
133 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "5bef2913-4855-471d-9594-5ec45c029048",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Length: 143.2 mm\n",
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"Freq: 2.822 Hz\n"
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]
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}
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],
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"source": [
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"import math\n",
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"import numpy as np\n",
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"from pint import UnitRegistry\n",
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"unit = UnitRegistry()\n",
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"unit.formatter.default_format = \"~\"\n",
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"\n",
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"\n",
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"# Parameters\n",
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"spring_constant = 1.1 * 4 * unit.N / unit.mm\n",
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"spring_length_resting = 112 * unit.mm\n",
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"\n",
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"weight_total = 14 * unit.kg\n",
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"\n",
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"dampening = 1 * unit.N / (unit.m / unit.s)\n",
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"\n",
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"def spring_length_at(weight):\n",
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" return (weight * unit.standard_gravity / spring_constant + spring_length_resting).to(unit.mm)\n",
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"\n",
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"def resonant_freq_at(weight):\n",
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" return (1 / (2 * math.pi) * np.sqrt(spring_constant / weight)).to(unit.Hz)\n",
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"\n",
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"spring_length = spring_length_at(weight_total)\n",
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"f0 = resonant_freq_at(weight_total)\n",
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"\n",
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"print(f\"Length: {spring_length:~.1f}\")\n",
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"print(f\"Freq: {f0:~.3f}\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "f21d84d9-c7a1-4fd2-aa32-136f04db32e5",
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"metadata": {
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"editable": true,
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"slideshow": {
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"slide_type": ""
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},
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"tags": []
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},
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"outputs": [
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{
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"data": {
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"text/html": [
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"0.00201455741006345"
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],
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"text/latex": [
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"$0.00201455741006345$"
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],
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"text/plain": [
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"<Quantity(0.00201455741, 'dimensionless')>"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"def lehr_dampening_factor(d, k, m):\n",
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" return d / (2 * np.sqrt(m * k))\n",
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"\n",
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"lehr_dampening = lehr_dampening_factor(dampening, spring_constant, weight_total)\n",
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"lehr_dampening.ito_reduced_units()\n",
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"lehr_dampening"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 31,
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"id": "b71de7db-a7fb-4d3a-9dd2-de8e107700a6",
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"metadata": {},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"/usr/lib/python3.13/site-packages/matplotlib/cbook.py:1355: UnitStrippedWarning: The unit of the quantity is stripped when downcasting to ndarray.\n",
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" return np.asarray(x, float)\n"
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]
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},
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{
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"data": {
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"image/png": 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fTIOLUoEvBreAp0Y+O1g89+fHY7+d4DwhInIeTISIrGTN0RuYte0iAGBa30i0lsFHYg/rGlETggAcu34PN+7y4zEicg5MhIis4PC1LPzfDycAAK92qo9+MbVtHFFFNbxc0ebP5Ox33hUiIifBRIjIwm7cvY+Xlx5GsVaHLuGBeLtLY1uHVKnuD1aPcZ4QETkJJkJEFpRdDIxaegSZ+cUIr+WNzwc2h8JaJ6qaIP7Pj8eOptzDrXv3bR0OEZHFMREispAbd+/ji5NKXM7IRy0fVyxMaAUPGU2OfpQa3q5oHVb28Rj3FCIiZ8BEiMgCLt3Jw6CFB5FZJCDE1w2rXolFUDU3W4dlkO6RNQEwESIi5yDvP09lpKSkBCqVSv+1FO2Z05Yp9Y2tY2h5Q8qZ2197cjYtF8MXH0ZmfjFquolYNrwFanqpbdp3Y97/Z5sE4IN1wJGUe0jJyEUtH1fJr2Hptjg+5E1u/bVGPBwf0sViKEPbFERRFCW/ugNITExEYmIitFotzp8/jxUrVsDd3d3WYZHMXcwGvj6nRIFWQG0PEa821cJTbeuojPfFSSUu5wroU0eLTrX4TwQR2Z+CggIMGTIE2dnZ8Pau/FBrJkJVyMnJgY+PDzIyMuDm5oZNmzahc+fOUKvN+79bSUmJWW2ZUt/YOoaWN6Scuf2VO1EU8fWea/jvpgvQ6kS0DK2G2YMicGDXdln02dj3f8m+a/ho/TlEBHljzavtLHINS7bF8SFvcuuvNeLh+JAuFkPl5OQgICCgykSIH40ZSK1W639ID38tZbvWqm9sHUPLG1JOyvdOLnILS/D26hPY8OfJ7X1bBOPjPpFQCToA8uqzobH0aRmC6Rsv4OStHJy5nY+o2tUkv4Y12uL4kDe59dca8XB8SBeLIW0agpOlicxwLi0XvWbtwYZTaVArBXzUOwKfDYiGm4ttT5M3l7+nBvF/TppecSDFxtEQEVkOEyEiE5RodUjcdhE9Zu3G5Yx8BPm4YvWY9nihXRgEQb77BBljaNswAMDPybeQUyiPSa1ERFJjIkRkpBM3stFr1h78Z+M5FJfq0Klxdax7vQOah1SzdWiSal3HFw1reOJ+iRZrj960dThERBbBRIjIQAXFpZi2/gx6Je7G6dQcVHNXY8aAaCwa3hp+Hi62Dk9ygiBgaNtQAMC3+1PAdRVE5Ig4WZqoCqVaHVYl3cDMzeeRnlsEAOgRHYQpPcIR4KmxcXSW1adlbfx7wzmcu52Lw9fuotWfh7ISETkKJkJElRBFEX+cvo3pG87i0p18AECInxum/K0Zng0PtHF01uHjpkbP6CCsTLqObw+kMBEiIofDRIjoL3Q6EVvOpmP29os4mnIPAODrrsbfn26Ioe1CoVHZ94owYw1tF4qVSdfx2/FU/PNv4Q75MSAROS8mQkR/KirV4ufkW5i/8zIupucBAFzVCox+sh5e7lgP3q7y2e/EmqJqV0NksA9O3MzGD4ev4+Wn6ts6JCIiyTARIqeXll2IVUnX8e2Ba7idUzYHyEujwtB2YRj5RB3U8DbsrC1HNrRtKN796QRWHEjB6CfrQaFwjC0CiIiYCJFTKtXqsP3cHXx/KAVbz6ZD9+eCqEBvDUY9WReD24TCy0nvAD1Kj+ggfPzbGVzNLMCOC3cQ17iGrUMiIpIEEyFyGqIoIvn6Pfx6LBXrjt/SrwADgDZ1/TC4TQieiwyCi4q7SvyVh0aFAa1D8PXuK5iz/RITISJyGEyEyKHpdCKO38zGhpNpWHf8Fm7cva9/zdddjedjamNg61A0qOFpwyjtw0sd6mHpvqs4eCULSVezuIKMiBwCEyFyOHlFpdh94Q62nEnHtnN3kJH3vzs/7i5KdA4PxN+igvBUowCnWwFmjpo+rujXsja+P3Qds7dfwjfDmQgRkf1jIkR2r6hUi+SUe9hzKRP7LmUg+fo9lGj/twuyp0aFjo2q47moWohrXMPuD0S1pVc61seqpOvYejYdZ1Jz0LSWt61DIiIyCxMhsjvZ90twNOUuDl8rexxJuYvCEl25MnX83fFM00A806QGWtXx47wfidQN8ED3yFpYdzwVc7ZfwpeDW9g6JCIiszARIlkrKC7F6Vs5OHEzu+xxIxsX/tzj52EBnhq0r++P9vX9EVvfH2H+HjaI1jm82qk+1h0vm3A+sXMj1Ange01E9ouJEMmCVifixt0CnE3Lxbk/H2fTcnAlI1+/tP1hdfzd0TLMF63C/NDqz1PSBYF721hDsyAfxDWujm3n7mDezsuY1jfS1iEREZmMiRBZjSgCmXlFuJmTh5SsfFy+U/a4dCcPlzPyUVyqe2S9Gl4aRAb7ICLYB5HBPmgeWs3hDzuVu7FxDbDt3B38ePgGxj/bEIHcdJKI7BQTIZKMTifiTm4RbucU4sbd+7h57z5u3C3Azbv3cT2rAJfvKFG0f0el9V1UCjSo7okmNb3Q+M9HeC1v7uwsQ63r+KF1HV8cunoXC3ddxuTnwm0dEhGRSZwiEVq3bh3efPNN6HQ6/N///R9Gjx5t65DsSnGpDpkFhcjIK0JmfjHScwpxJ68I6TlFfyY+93E5TYm3Dm4ut1qrIgGCANTydkWovzvqBnigfnVP/SPY1w1KHt1gN8bGNcCIRYewbP81jO5QD35uXI1HRPbH4ROh0tJSTJw4Edu2bYO3tzdatmyJvn37ws/P+fZAKS7VIa8EuJqZj4KSstVX9+6XIPt+CbILinGvoAR3C0pwt6AYdwuKkZVXjPRsJe7v22xA6wIAEYJQNnE5qJobaldzQ21fNwT7uiHQywVXTxzC0F5d4enOOzyOoFOj6mgV5ouka3fxxZYL+OBvTWwdEhGR0Rw+ETp48CCaNWuG4OBgAED37t2xceNGDB482MaRVU6rE1FYoi17lOpwv7js6/slWtwv1qKgWIu8+0U4kCYgdc9VFJaKZc8VlSK/qBT5RVrkF5Ui789HbmEp8opK/lxirgKS9hgRTdkdGqVCgL+HC/w8XFDD2xXVPTWo4a1BDS8N/N1VuHzqCPp0jUOQnyfUyopL1UtKSrD+EqBR866BoxAEAf8X3wT95+7DykPXMbxdiK1DIiIymuwToZ07d+I///kPDh8+jNTUVKxZswa9e/cuV2b27Nn4z3/+g9TUVDRr1gwzZ85Ehw4dAAC3bt3SJ0EAULt2bdy8edOaXXik0UuP4OJNJb64sBtFpSKKSrUoKtGhsFRbxcdLD1MCV84bfW1PjQo+bmp4uapQzV0NHzc1qrm5wMddjWruavi5u6Cauwu8NQqcSNqHPt2fRYCXe6UnjpeUlGB9ChBUze2RSRA5rtZ1/PB0kxrYejYdn2++iG7cX5GI7IzsE6H8/HxER0djxIgR6NevX4XXV65cifHjx2P27Nl44oknMG/ePMTHx+P06dMIDQ2FKFZMKuSwzPpCeh5uFQhAQcFjy7moFHB3UcJNXfbQqJVwd1HCVaVA7t07qBsSDA9XNTw1Kri7KP/8rwqerip4acr+66kpe7ipgF1bN+Fvz3WBWl31yeolJSW4cxrwdXepNAkieqdbY2w7l47fT91GOFfSE5GdkX0iFB8fj/j4+EpfnzFjBkaNGqWfAD1z5kxs3LgRc+bMwbRp0xAcHFzuDtCNGzfQtm3bStsrKipCUdH/zqbKyckBUJYUqFQq/dfm+lePxkg6fASxbVrB3dUFGpUCGpUCrmrln/9VwFWlfOxdmE2bNqFz5yYGJTUP6igEw+N/UK6q8oaUM7QtRyKnPlsylvr+bugVVQtrj6Xi1xQFRklwDXPjNaW+sXU4Pkwnt/5aIx4pr+Fs48NUhrYpiI+6ZSJTgiCU+2isuLgY7u7uWL16Nfr06aMv98YbbyA5ORk7duxAaWkpmjZtiu3bt+snS+/fvx/+/v6PvMbUqVPxwQcfVHh+xYoVcHd3t0i/iOxdZiHwcbISWlHA2KZaNK5mN/+sEJGDKigowJAhQ5CdnQ1v78o/t5f9HaHHycjIgFarRWBgYLnnAwMDkZaWBgBQqVT47LPPEBcXB51Oh3feeafSJAgAJk2ahIkTJ+q/z8nJQUhICLp06QI3N7c/78J0NvguTGX+d0fHtLZMqW9sHUPLG1LO3P7aIzn12RqxXFafxvKDN7DjXjW8MaidWR+ncnw4Nrn11xrxSHkNZxsfpnrwiU5V7DoReuCvc35EUSz3XM+ePdGzZ0+D2tJoNNBoKu5arFar9T+kh782l7ltmVLf2DqGljeknJTvnb2QU58tGctrcfWxOuk6TqXmYsOZO+jVPLjqSlXg+HBscuuvNeLh/z+ki8WQNg1h14lQQEAAlEql/u7PA+np6RXuEplL6jlCzvYZr9zmBFiDnPpsjVi8NQo8E6zD+utKfLL+DDo28IOHxrR/Yjg+HJvc+ss5QtLX4RwhC/nrHCEAaNu2LWJiYjB79mz9c+Hh4ejVqxemTZtm8rUSExORmJgIrVaL8+fPc44QkQFKdMC0ZCUyiwQ8G6xDj9BHnx9HRGRphs4Rkn0ilJeXh4sXLwIAWrRogRkzZiAuLg5+fn4IDQ3FypUrMWzYMMydOxexsbGYP38+FixYgFOnTiEsLMzs6+fk5MDHxwcZGRmcI2RGObnNCbAGOfXZmnMghJDmeH3VSaiVAn7/+xMI8zf+DwiOD8cmt/5yjpD0deQyRyggIMD+J0snJSUhLi5O//2DicwJCQlYvHgxBg4ciMzMTHz44YdITU1FREQE1q9fL0kS9DDOEeIcCFPJqc/WiKVbRC10OJqGXRcy8MmG8/hmeGuT2+L4cGxy6y/nCElfh3OEJNCpU6dHbor4sLFjx2Ls2LEWjYNzhMwrJ7c5AdYgpz5bcw5EaWkpJsc3xt8uZWLr2XT8cfIW4hpXN6ktjg/HJLf+co6Q9HU4R8gBcI4QkXl+vqrA1lQFAlxFTIrWQsXTV4jIihxmjpCtcY4Q50CYSk59tsUciNzCUnT9Yjfu5BXjrc4N8cpTda0WL8eHvMmtv5wjJH0dzhFyQJwjxDkQppJTn605B8JPrcak7k0xcdUxJG6/jF4taiPEz7i7qhwfjk1u/eUcIenr2MMcId6sJiKL6dMiGG3r+uF+iRaT156scr4fEZG1MREiIosRBAHT+kbCRaXAzvN3sDb5pq1DIiIqhx+NGYirxswrJ7dVItYgpz7bclVMSDUNxnWsh8+3XMSHv55G+7q+8PNwMaktc2ORsg7Hh+nk1l+uGpO+DleNOQCuGiOSTqkO+O8JJVILBLQO0OGFhtxxmogsi6vGJMJVY1wVYyo59VkOq2KSr9/DgAUHIYrANy+2RIeGARaLl+ND3uTWXzmMD2u2ZW/jw1RcNSYxrhrjqhhTyanPtlwV07pedQxvXweL9lzF+7+ewR8TnoK7y+P/CeL4cGxy6y9XjUlfh6vGiIge8laXxgiu5oYbd+9j+oZztg6HiIiJEBFZj4dGhU/6RgIAFu+9ir2XMmwcERE5O340ZiCuGjOvnNxWiViDnPosp1Ux7etWw6DWtfH9oRt4e/Ux/DquPbxcy/9TxPHh2OTWXzmND2u0ZW/jw1RWWTV248YNCIKA4OBgU5uQLa4aI7KcQi0w/ZgSmUUC2lbXYUgDriIjImlZbNWYTqfDRx99hM8++wx5eXkAAC8vL7z55puYPHkyFArH+rSNq8a4KsZUcuqzHFfFHLp6F0O/OQRRBOYObY5nmtSQLF6OD3mTW3/lOD4s2Za9jQ9TWWzV2OTJk/H111/j008/xRNPPAFRFLFnzx5MnToVhYWF+Pjjj80KXK64aoyrYkwlpz7LaVVM+4Y1MPrJuliw6wre+/kM2tSrXmGjRY4Pxya3/sppfFijLXsbH8YytD2jE6ElS5Zg4cKF6Nmzp/656OhoBAcHY+zYsQ6bCBGR9N7s0hjbzt3BxfQ8/HPtScwa0gKCINg6LCJyIkZ/jpWVlYUmTZpUeL5JkybIysqSJCgicg6uaiVmDIiGUiHgtxOp+PEIzyIjIusyOhGKjo7GrFmzKjw/a9YsREdHSxIUETmPqNrVMOHZhgCA938+iSsZ+TaOiIicidEfjU2fPh3PPfccNm/ejNjYWAiCgL179+L69etYv369JWKUBS6fN6+c3JbLWoOc+iz35cGjnwjDrgt3cODKXfx9xREsH9HC5LZMjYXjw3rk1l+5jw+p27K38WEqiy6fv3XrFhITE3H27FmIoojw8HCMHTsWQUFBRgcqV1w+T2Rd94qAfx9XoqBUwNNBOvQK45J6IjIdD12VCJfPc3mwqeTUZ3tZHrzpdDrGfpcMAHi1qRZ/7/8sx4cDklt/7WV8SNWWvY0PU0m6fP748eOIiIiAQqHA8ePHH1s2KirKuEjtBJfPc3mwqeTUZ7kvD+4eHYyhl7Pw7YEUfHtRgYRiETXdOT4cldz6K/fxIXVb9jY+jCXp8vnmzZsjLS0NNWrUQPPmzSEIAh51I0kQBGi1WuMiJSJ6yHvPhePA5UxcvJOPd348gcUj2kKh4JJ6IrIMgxKhK1euoHr16vqviYgsxc1FiZkDotBnzl7svJCJOTsuYVxcA1uHRUQOyqDl82FhYfpNzq5du4bg4GCEhYWVewQHB+PatWsWDZaInEPjml54vm7ZZOnP/jiHfZcybRwRETkqo/cRiouLe+TGidnZ2YiLi5MkKCKidjVE9G0RBJ0IvP79UaTnFto6JCJyQEYnQqIoPnIL/MzMTHh4eEgSFBERAEz9W1M0DvTCndwivPFdMrQ6LnIlImkZvKFi3759AZRNiB4+fDg0Go3+Na1Wi+PHj6N9+/bSRygT3FDRvHJy20DNGuTUZ3vdME4l6PDlwCj0nbsf+y5nYsYfZzH+marnC3F8yJvc+muv48NZ/v9hKsk3VBwxYgSAskNXBwwYADc3N/1rLi4uqFOnDl566SUEBASYEK78cENFIvk4nCFg6QUlBIh4qYkOzXx5Z4iIHs9iGyp+8MEHeOutt5zmYzBuqMgN40wlpz47woZxH6w7g+UHrsPLVYU1Y9ohzL/yP0w4PuRNbv11hPFh6fpOv6Hiw6ZMmWJWYPaKGypywzhTyanP9rxh3Ps9InAmLQ+Hr93FuO+OYc249nB3efw/YRwf8ia3/trz+LBWfafdUPGvfvjhB6xatQopKSkoLi4u99qRI0dMaZKI6LFcVArMHtoSf/tqN87dzsX//XgCXw5q/sjFG0REhjJ61diXX36JESNGoEaNGjh69CjatGkDf39/XL58GfHx8ZaIkYgIABDo7Yo5Q1tCpRDw67Fb+Ho3N3glIvMYnQjNnj0b8+fPx6xZs+Di4oJ33nkHmzZtwuuvv47s7GxLxEhEpNeqjh/e7xEOAJj2+1nsvZRh44iIyJ4ZnQilpKTol8m7ubkhNzcXADBs2DB899130kZHRPQIw9qFoW/LYGh1IsZ9ewTXswpsHRIR2SmjE6GaNWsiM7Nsu/uwsDDs378fQNkZZEYuQCMiMokgCPikTySiavvgbkEJRi9JQl5Rqa3DIiI7ZHQi9PTTT+PXX38FAIwaNQoTJkxA586dMXDgQPTp00fyAImIHsVVrcS8YTGo7qXBudu5mLgyGTruPE1ERjJ61dj8+fOh05UdhjhmzBj4+flh9+7d6NGjB8aMGSN5gERElanl44Z5w2IwaN5+/HH6NmZuPo+JXRrbOiwisiNGJ0IKhQIKxf9uJA0YMAADBgwAANy8eRPBwcHSRUdEVIWWob74pG8k3lp9DF9uvYhGNb3QtWl1W4dFRHbCpH2E/iotLQ0ff/wxFi5ciPv370vRpOzwrDHzysntbCFrkFOfHf0spV5RgTh9Mwzf7L2Gt1YfQ2BCS6Nj4fiwHrn119HHhxT1edYYgHv37mHcuHH4448/oFar8e677+K1117D1KlT8d///hfNmjXDxIkTMXjwYLMClwueNUZkX7QiMP+MAmezFfBRi5gYqUU1TdX1iMgxSX7W2NixY/Hrr79i4MCB2LBhA86cOYOuXbuisLAQU6ZMQceOHSULXk541hjPUjKVnPrsLGcp5RaWYMD8g7h4Jx+1PUSs/XtH+Hi4WuSaHB+mk1t/nWV8mFOfZ40B+O2337Bo0SI8++yzGDt2LBo0aIBGjRph5syZUsQrezxrjGcpmUpOfXb0s5T81GosGtEGPWftxo38Ekz6+SzmDWsFhcLwYzg4PqxHbv119PEhRX1HPGvM4OXzt27dQnh42W6u9erVg6urK0aPHm1adEREFhLi5445Q5pDKYjYdCYd0zees3VIRCRjBidCOp2uXHalVCrh4eFhkaCIiMwRE+aLIfXLtvmYu+MSVh26buOIiEiuDP5oTBRFDB8+HBpN2ezDwsJCjBkzpkIy9NNPP0kbIRGRCVpVF+Fdux4St1/GP9acQFA1NzzZMMDWYRGRzBicCCUkJJT7/oUXXpA8GCIiKb0eVx837hXi5+RbeHX5Yfzwans0rull67CISEYMToQWLVpkyTiIiCSnUAiY/nwUUu8V4uDVLIxYdBBrxj2BQG/DVpIRkeMz+qwxIiJ7olEpMf/FGNSr7oFb2YUYufgQ8nlAKxH9iYkQETm8au4uWDy8Dfw9XHDqVg5eW3EEpVqdrcMiIhlgIkRETiHU3x0LE1rBVa3AtnN38M+fT8LA/WSJyIExESIip9Ei1BdfDGoBhQB8d/A6vtp60dYhEZGNGZ0I5efnWyIOIiKr6NqsJj7oFQEAmLHpPPcYInJyRidCgYGBGDlyJHbv3m2JeIiILG5YuzCMi6sPAJi05gS2nU23cUREZCtGJ0LfffcdsrOz8cwzz6BRo0b49NNPcevWLUvERkRkMW91aYy+LYOh1YkY++0RHL+RbeuQiMgGDN5H6IEePXqgR48eyMzMxNKlS7F48WL885//RNeuXTFy5Ej07NkTKpXRzcpeSUmJvl8lJSWStGdOW6bUN7aOoeUNKWduf+2RnPpsjVikvIa1xsdHPZsiPacQuy9mYvSyIxjbiOPDGuTWX44P6etIOT5MZWibgijBsomvvvoKb7/9NoqLixEQEIAxY8bg3Xffhbu7u7lN20xiYiISExOh1Wpx/vx5rFixwq77Q0SPVqgFvjqlxI18AX4aEeMjtPBxsXVURGSugoICDBkyBNnZ2fD29q60nMmJUFpaGpYuXYpFixYhJSUFffr0wahRo3Dr1i18+umnqFWrFv744w+TOyAXOTk58PHxQUZGBtzc3LBp0yZ07ty53AG0pigpKTGrLVPqG1vH0PKGlDO3v/ZITn22RixSXsPa4yMzrwgDFhxEStZ9NKrhge9Gt4G32+PrcXyYTm795fiQvo6U48NUOTk5CAgIqDIRMvozrJ9++gmLFi3Cxo0bER4ejnHjxuGFF15AtWrV9GWaN2+OFi1amBS4XKnVav0P6eGvpWzXWvWNrWNoeUPKSfne2Qs59dkasdjj+Kjpq8bi4THo/dUunE/Px6srjmHpqDZwVSsluwbHR0Vy6y/Hh/R1pBwfxjK0PaMnS48YMQJBQUHYs2cPkpOT8dprr5VLggCgXr16mDx5srFNExHZTIivO8Y01cJTo8LBq1n4+3dHufs0kRMwOhFKTU3FvHnz0Lp160rLuLm5YcqUKWYFRkRkbcEewNyhzeGiUmDT6dv4x5oT3H2ayMEZnQh5eXkhPb3inhuZmZlQKqu+jUxEJGdt6/rhq8Flu0+vSrqBab+fZTJE5MCMToQq+wehqKgILi5cakFE9q9rs5r4tF8UAGD+zsuYs+OSjSMiIksxeLL0l19+CQAQBAELFy6Ep6en/jWtVoudO3eiSZMm0kdIRGQDA1qFILugBB+vP4PpG86hmpsLhrQNtXVYRCQxgxOhzz//HEDZHaG5c+eW+xjMxcUFderUwdy5c6WPkIjIRl56qh7u3S9G4rZLmLz2BHzc1HguqpatwyIiCRmcCF25cgUAEBcXh59++gm+vr4WC4qISC7e6tIYdwtKsOJACsavPAoPjRKdGtewdVhEJBGj5wht27aNSRAROQ1BEPCvXhH4W1QtlGhFjFl+GAevZNk6LCKSiEF3hCZOnIh//etf8PDwwMSJEx9bdsaMGZIERkQkF0qFgBkDmqOgWIutZ9MxcvEhLBvRytZhEZEEDEqEjh49qj+87OjRo5WWEwRBmqiIiGTGRaXA7KEtMXzRQey/nIWRSw9jTENbR0VE5jIoEdq2bdsjvyYiciauaiUWJrTG0AX7cexGNmafVuLZrALUD/SxdWhEZCKj5wgRETkzT40Ki0e0QaMansguEZCwKAmp2fdtHRYRmcigO0J9+/Y1uMGffvrJ5GCIiOyBr4cLFg2PQa8vt+PGvUIMXXAAK1+JRXUvja1DIyIjGZQI+fjwti8R0cNqeGkwLlyLBZc8cTkjH8O+PoDvXmoHXw/usE9kTwxKhBYtWmTpOIiI7I6fBlg6ohUGf30IZ9NykbDoIJaPbgtvV7WtQyMiA3GOEBGRGcL83fHt6LbwdVfj+I1sjFx0CAXFpbYOi4gMZNAdoZYtW2LLli3w9fVFixYtHrtM/siRI5IFR0RkDxoFemHZqLYYvGA/kq7dxeglSfhmeGu4qpVVVyYimzIoEerVqxc0mrJJgL1797ZkPEREdiki2AdLRrbBsIUHsPdSJl5ZdhjzX4zhbXcimTMoEZoyZcojvyYiov9pGeqLb4a3RsKig9hx/g7GfXsUXw6MtHVYRPQYJv+xkpSUhGXLlmH58uU4fPiwlDFJrk+fPvD19cXzzz9v61CIyMG1reePhS+2hotKgc1nbuPN1SegFW0dFRFVxuhE6MaNG+jQoQPatGmDN954A6+//jpat26NJ598EtevX7dEjGZ7/fXXsXTpUluHQURO4smGAZj3QgzUSgG/n7qNby8qoNUxGyKSI6MToZEjR6KkpARnzpxBVlYWsrKycObMGYiiiFGjRlkiRrPFxcXBy8vL1mEQkROJa1IDs4a0hEoh4HCGAv9Yewo6JkNEsmN0IrRr1y7MmTMHjRs31j/XuHFjfPXVV9i1a5fRAezcuRM9evRAUFAQBEHA2rVrK5SZPXs26tatC1dXV8TExJh0HSIia+varCZm9I+EAiJ+OnoLk9eeYDJEJDNGJ0KhoaH6k+gfVlpaiuDgYKMDyM/PR3R0NGbNmvXI11euXInx48dj8uTJOHr0KDp06ID4+HikpKToy8TExCAiIqLC49atW0bHQ0QkpfiImnihoQ4KAfju4HVM+eUURJHJEJFcGLRq7GHTp0/H3//+dyQmJiImJgaCICApKQlvvPEG/vvf/xodQHx8POLj4yt9fcaMGRg1ahRGjx4NAJg5cyY2btyIOXPmYNq0aQAg6WTtoqIiFBUV6b/PyckBAJSUlEClUum/NteDNkxty5T6xtYxtLwh5cztrz2SU5+tEYuU13C08RETICK8WVNM+vkMlu2/BoUgYnJ8Y/2ebHL6XbEGufWX40P6OlL+/8NUhrYpiAb8aeLr61tuE8X8/HyUlpbqE4MHX3t4eCArK8vEkAFBELBmzRr9XkXFxcVwd3fH6tWr0adPH325N954A8nJydixY4fBbW/fvh2zZs3CDz/88NhyU6dOxQcffFDh+RUrVsDd3d3g6xER/dX+dAHfXSrbZLFTLR16h+nwmP1picgMBQUFGDJkCLKzs+Ht7V1pOYPuCM2cOVOquIySkZEBrVaLwMDAcs8HBgYiLS3N4Ha6du2KI0eOID8/H7Vr18aaNWvQunXrR5adNGkSJk6cqP8+JycHISEh6NKlC9zc3LBp0yZ07twZarV5ZwmVlJSY1ZYp9Y2tY2h5Q8qZ2197JKc+WyMWKa/hqOOju1qN8EM38M9fTmN7qgIN6tfDO10aorS0VDa/K9Ygp7FhrXg4PqSLxVAPPtGpikGJUEJCglnBmOuvR3qIovjYYz7+auPGjQaX1Wg0+l20H6ZWq/U/pIe/Npe5bZlS39g6hpY3pJyU7529kFOfrRELx8fjyw1rXxdQKPDPtSexcPdVqJRKTHymnsnx2jO59ZfjQ/o6Uv7/w1iGtmdQIpSTk6O/rVRVhvW420/GCggIgFKprHD3Jz09vcJdIkvjHCHzysltToA1yKnPnAMhfR1zxsegmCCUlpbig3VnMXfHJWhLS9BMlMfvijXIaWwAHB+WqONwc4SUSiVSU1NRo0YNKBSKR96NeXCXRqvVGh/tg2D+MkcIANq2bYuYmBjMnj1b/1x4eDh69eqlnyxtCYmJiUhMTIRWq8X58+c5R4iIJLczVcCPV8vmDHUJ1qF7COcMEUlF0jlCW7duhZ+fHwBg27Zt0kT4p7y8PFy8eFH//ZUrV5CcnAw/Pz+EhoZi4sSJGDZsGFq1aoXY2FjMnz8fKSkpGDNmjKRx/NW4ceMwbtw45OTkwMfHh3OEOEfIaHLqM+dASF9HivHRHUDjvdfwye/n8MdNBerXq4sJnRsZ9dG/PZLT2LBWPBwf0sViKEnnCHXs2PGRX0shKSkJcXFx+u8fTFROSEjA4sWLMXDgQGRmZuLDDz9EamoqIiIisH79eoSFhUkaR1U4R4hzhEwlpz5zDoT0dcwdHy93bABRFDFtw3nM2XUNarXaKZIhQF5jA+D4sEQde5gjZPSGihs2bMDu3bv13ycmJqJ58+YYMmQI7t69a2xz6NSpE0RRrPBYvHixvszYsWNx9epVFBUV4fDhw3jqqaeMvg4RkVyNfKIOeoeVTSv4cutFfL7pPDddJLISozdUfPvtt/Hvf/8bAHDixAlMnDgRb775JrZu3YqJEydi0aJFkgcpB5wsbV45uU2OtAY59ZmTQaWvI/X4iAsS0ahRfUzfdAlfbr0IrU6HN56u75B3huQ0NgCOD0vUcbjJ0g/z9PTEyZMnUadOHUydOhUnT57EDz/8gCNHjqB79+5G7e8jZ5wsTUS2sO2WgLXXOIGayFySTpZ+mIuLCwoKCgAAmzdvxosvvggA8PPzM3hikj3gZGlOljaXnPrMyaDS17HU+OiuVqPpnquYtuF82QTqBvUx4ZkGDnVnSE5jw1rxcHxIF4uhJJ0s/bAnn3wSEydOxBNPPIGDBw9i5cqVAIDz58+jdu3axjZnNzhZmpOlTSWnPnMyqPR1LDE+XunUEEqlEh/9dgZzdlyBICjwdtfGDpUMAfIaGwDHhyXqOORk6VmzZkGlUuGHH37AnDlz9CfO//777+jWrZuxzRER0SOM7lAP7/8tHAAwe/sl/HvDOU6gJrIAo+8IhYaGYt26dRWe//zzzyUJSK44Wdq8cnKbHGkNcuozJ4NKX8ca42NY29oQRR3+9VvZDtSlWi3e6dLQ7u8MyWlsABwflqjj0JOljxw5ArVajcjISADAzz//jEWLFiE8PBxTp06Fi4uL8dHKECdLE5Fc7EoT8MMVnlpPZAxDJ0sbnQi1bt0a7777Lvr164fLly+jWbNm6NOnDw4dOoTnnnvOZifVW8qDydIZGRmcLG1GOblNjrQGOfWZk0Glr2Pt8bHi4HVM+fUMAODFdqF4r7v9zhmS09iwVjwcH9LFYqicnBwEBARIv2rs/PnzaN68OQBg9erVeOqpp7BixQrs2bMHgwYNcrhE6AFOluZkaVPJqc+cDCp9HWuNj4Qn6sFFrcKkn05g6f4UQBDwQc9mdpsMAfIaGwDHhyXqOORkaVEUodPpAJQtn+/evTsAICQkBBkZGcY2R0REBhrcJhTT+0VBEICl+67hvbUnodNxAjWROYxOhFq1aoWPPvoIy5Ytw44dO/Dcc88BKDssNTAwUPIAiYjofwa0DsF/n4+GIADfHkjBpJ9OMBkiMoPRH43NnDkTQ4cOxdq1azF58mQ0aNAAAPDDDz+gffv2kgcoF1w1Zl45ua0SsQY59ZmrYqSvY8vx0TMqEBAj8faPJ7Ay6TqKS0sxrU8ElAr7+JhMTmMD4PiwRB2HXjVWmcLCQiiVSll93msOrhojIrk7miFg6QUFdBAQE6DD0AY6KO0jFyKyOIutGnM2XDXGVWOmklOfuSpG+jpyGR8bT93G+FXHUaoTEd8sEJ/1j4RaafSsB6uS09iwVjwcH9LFYihJV435+fnh/PnzCAgIgK+v72NXKWRlZRkfrR3gqjGuGjOVnPrMVTHS17H1+Phb89rQuKgx9tvD+P3UbWhFYNaQlnBRyTsZAuQ1NgCOD0vUsYdVYwYlQp9//jm8vLwAwGGXxxMR2avO4YGYP6wVXll+GH+cvo0xyw9j9tCWcFUrbR0akewZlAglJCQ88msiIpKHuCY18HVCK4xekoStZ9Px0tIkzB/WCm4uTIaIHsfke6fp6ek4efIkjh8/Xu5BRES20aFhdSwa0RpuaiV2XcjAyMWHUFBcauuwiGTN6OXzhw8fRkJCAs6cOVPhJGRBEKDVaiULjoiIjNO+fgCWjmqDEYsOYd/lTCR8cxDfDG8NL1f5zMUhkhOjE6ERI0agUaNG+PrrrxEYGGjX27sbg/sImVdObvuGWIOc+sx9UqSvI+fx0TzYC4sSWmLk0iM4dPUuXlh4AN+82BLebvJIhuQ0NgCOD0vUceh9hLy8vHD06FH9RoqOivsIEZG9u54HzD6jREGpgNoeIsY21cJDHrkQkcVZbB+h3r17Y9iwYejXr5/ZQdoD7iNk+31S7JWc+sx9UqSvYy/j42xaLhIWJyErvwSNanhiyYgYBHhqJL2GseQ0NqwVD8eHdLEYymKnzy9cuBAJCQk4efIkIiIiKgTes2dP46O1A9xHiPsImUpOfeY+KdLXkfv4iAzxw6pXYjFkwQGcT8/D0G+SsGJ0O9T0cZX0OqaQ09gAOD4sUcdh9hF62N69e7F79278/vvvFV7jZGkiIvlpUMPrz2RoPy7fycfA+fvw7ei2qO3Lj/uJjF4+//rrr2PYsGFITU2FTqcr92ASREQkT3UCPLDylViE+LnhWmYBBs7bj6sZ+bYOi8jmjE6EMjMzMWHCBAQGBloiHiIispAQP3eseiUW9QI8cPPefQyYtw8X03NtHRaRTRmdCPXt2xfbtm2zRCxERGRhtXzcsPKVWDQO9EJ6bhEGztuPM6k5tg6LyGaMniPUqFEjTJo0Cbt370ZkZGSFyUivv/66ZMEREZH0qntp8N3L7TDs6wM4dSsHg+bvx7JRbRBVu5qtQyOyOpNWjXl6emLHjh3YsWNHudcEQXDYRIgbKppXTm4bqFmDnPrMDeOkr2Pv48PLRcDS4TEYtewIkq9nY8iCA1g4rAViwnwtfm05jQ2A48MSdRx6Q0VnwQ0VicgZFGqBBWeVuJgjwEUh4qUmOjTy4f8WyP5ZbEPFv9JqtThx4gTCwsLg62v5vySsjRsqyn/DOLmSU5+5YZz0dRxpfNwv1mLsd8nYfTETLioFEgdHo1Oj6ha7nq37a4t4OD6ki8VQFttQcfz48YiMjMSoUaOg1Wrx1FNPYd++fXB3d8e6devQqVMnc+KWLW6oKN8N4+ROTn3mhnHS13GE8aFWq/H18NYY9+1RbD5zG2NXJOOrwS3QLaKWxa8rl7EBcHxYoo49bKho9KqxH374AdHR0QCAX3/9FVevXsXZs2cxfvx4TJ482djmiIhIBjQqJea80BJ/i6qFEq2IcSuOYu3Rm7YOi8jijE6EMjIyULNmTQDA+vXr0b9/fzRq1AijRo3CiRMnJA+QiIisQ61U4ItBLfB8TG1odSImrErGdwdTbB0WkUUZnQgFBgbi9OnT0Gq12LBhA5599lkAZZOSlEql5AESEZH1KBUCpveLwrB2YRBFYNJPJ/DN7iu2DovIYoyeIzRixAgMGDAAtWrVgiAI6Ny5MwDgwIEDaNKkieQBEhGRdSkUAj7s1QzuLkrM23kZH647jfslWoyLa2Dr0IgkZ3QiNHXqVEREROD69evo378/NBoNAECpVOLdd9+VPEAiIrI+QRDwbnwTuLkoMXPzBfxn4znkF5Xi7a6NIQiCrcMjkozRiRAAPP/88xWeS0hIMDsYIiKSD0EQMP7ZRnB3UeKT9Wcxe/slFBRr8f7fwqFQMBkix2BSIrRlyxZs2bIF6enp0Ol05V775ptvJAmMiIjk4eWn6sPNRYV/rj2JxXuvoqC4FNP6RkHJZIgcgNGJ0AcffIAPP/wQrVq10s8TcgY8YsO8cnLbUt8a5NRnHiEgfR1nGx+DYoKgUQDvrjmJVUk3kF9Uiv/0i4BaafSaG9n1l+ND+joOfcRGrVq1MH36dAwbNsykwOwFj9ggIqooOVPA0gsKaEUBEb46DG+kg9r4XIjI4ix2xIa/vz8OHjyI+vXrmx2kPeARG45xhIAtyKnPPEJA+jrOPD52nL+Dcd8dQ1GpDu3r+2HOkOZwdzH8Awa59ZfjQ/o6Dn3ExujRo7FixQr885//NCtAe8MjNuz7CAFbklOfeYSA9HWccXw82ywIi0doMHrJIey9lIWRS4/im+Gt4eNm2ffa0jg+pK9jD0dsGJ0IFRYWYv78+di8eTOioqIqXGjGjBnGNklERHYmtr4/lo9ui4RvDuLwtbsYsmA/lo1qCz8PF1uHRmQUoxOh48ePo3nz5gCAkydPlnvNWSZOExER0CLUF9+/HIthXx/AqVs5GDhvH5aPbotAb1dbh0ZkMKMToW3btlkiDiIiskPhQd5YNSYWQxccwIX0PPSfuw/fjm6LED8uLiH7wLn+RERklvrVPbF6TCxC/dyRklWA/nP34WJ6nq3DIjKISRsqHjp0CKtXr0ZKSgqKi4vLvfbTTz9JEhgREdmPED93rB4TixcWlt0ZGjhvH5aOaoNmQT62Do3osYy+I/T999/jiSeewOnTp7FmzRqUlJTg9OnT2Lp1K3x8+AtPROSsAr1dsfKVWEQEeyMzvxiD5+/H4Wt3bR0W0WMZnQh98skn+Pzzz7Fu3Tq4uLjgiy++wJkzZzBgwACEhoZaIkYiIrITfh4uWPFSO7QK80VOYSmGfX0Aey5m2DosokoZnQhdunQJzz33HABAo9EgPz8fgiBgwoQJmD9/vuQBEhGRffF2VWPpqDbo0DAABcVajFh8CJtP37Z1WESPZHQi5Ofnh9zcXABAcHCwfgn9vXv3UFBQIG10RERkl9xdVFiY0ApdwgNRXKrDK8sP4+fkm7YOi6gCoxOhDh06YNOmTQCAAQMG4I033sBLL72EwYMH45lnnpE8QCIisk8alRKzh7ZEnxbB0OpEjF+ZjBUHUmwdFlE5Rq8amzVrFgoLCwEAkyZNglqtxu7du9G3b1+nO3aDiIgeT6VU4LP+0fDQKLF8fwr+seYEcu4XoZatAyP6k1F3hEpLS/Hrr79CoSirplAo8M477+CXX37BjBkz4Ovra5EgiYjIfikUAv7VKwJjOpYd1v3phvNYf10BI8/8JrIIoxIhlUqFV199FUVFRZaKh4iIHJAgCHg3vgne7toYALDxhgIf/34OOh2TIbItoz8aa9u2LY4ePYqwsDBLxCNbJSUlUKlU+q+laM+ctkypb2wdQ8sbUs7c/tojOfXZGrFIeQ2OD8f18pNhcBF0+HjDBSzZl4L8Ii0+6hUOpcJ2Z1VyfEhfR8rxYSpD2xREI+9Nrl69Gu+++y4mTJiAmJgYeHh4lHs9KirKmOZkKzExEYmJidBqtTh//jxWrFgBd3eenUNEJIWD6QJWXFJAhIDm/joMa6CDioc+kYQKCgowZMgQZGdnw9vbu9JyBidCI0eOxMyZM1GtWrWKjQgCRFGEIAjQarUmBy1HOTk58PHxQUZGBtzc3LBp0yZ07twZarXarHZLSkrMasuU+sbWMbS8IeXM7a89klOfrRGLlNfg+HBsD/qL2s3x1k+nUKIV0bFhAL4aFA03F6XN4uH4kK6OlOPDVDk5OQgICKgyETL4o7ElS5bg008/xZUrVyQJ0N6o1Wr9D+nhr6Vs11r1ja1jaHlDykn53tkLOfXZGrFwfJheTk6/K9bQPSoIvl7ueHlZEnZcyMDoZUfx9fBW8HK1zXvA8SF9HSnHh7EMbc/gROjBjSNnmxtERESW81Sj6lg+qi1GLDqEg1ezMGTBASwZ2QZ+Hi62Do2chFGfyAqC7SazERGRY2pVxw/fvdwOfh4uOHEzGwPn7UNadqGtwyInYVQi1KhRI/j5+T32QUREZKyIYB+seiUWNb1dcSE9D/3n7UVKJo9tIsszavn8Bx98AB8fH0vFQkRETqxBDU+sHhOLF74+gGuZBXh+7l4sH90WjQK9bB0aOTCjEqFBgwahRo0aloqFiIicXIifO1a/EothXx/Eudu5GDBvH5aMaIPokGq2Do0clMEfjXF+EBERWUMNb1esfKUdokOq4V5BCYYs2I99lzJtHRY5KIMTIZ4JQ0RE1lLN3QXfjm6L9vX9kV+sRcKig9hy5ratwyIHZHAipNPp+LEYERFZjadGhW+Gt8azTQNRXKrDK8sO4+fkm7YOixwMNzQnIiLZclUrMeeFlujTIhilOhHjVyZj+f5rtg6LHAgTISIikjW1UoHP+kdjWLswiCLw3tqTmLP9kq3DIgfBRIiIiGRPoRDwYa9mGBdXHwDw7w1n8e8NZzl/lczGRIiIiOyCIAh4u2sTvBvfBAAwZ/slvLf2JHQ6JkNkOiZCRERkV8Z0rI9P+kRCEIBvD6RgwqpklGh1tg6L7BQTISIisjtD2obii0EtoFII+Dn5Fl5dfhiFJVpbh0V2iIkQERHZpZ7RQVjwYitoVApsPpOOEYsOIa+o1NZhkZ1hIkRERHYrrkkNLB3ZBp4aFfZdzsTQBftxN7/Y1mGRHWEiREREdq1tPX9891I7+LqrcexGNgbM24e07EJbh0V2gokQERHZvcjaPlg9JhY1vV1xIT0P/eftxbXMfFuHRXaAiRARETmEBjW8sHpMLML83XE96z6en7sP59JybR0WyZzDJ0LXr19Hp06dEB4ejqioKKxevdrWIRERkYWE+Llj9ZhYNKnphTu5RRgwbx+Opty1dVgkYw6fCKlUKsycOROnT5/G5s2bMWHCBOTn83YpEZGjquHliu9fbocWodWQfb8EQxcewJ6LGbYOi2TK4ROhWrVqoXnz5gCAGjVqwM/PD1lZWbYNioiILKqauwuWj2qLJxsEoKBYixGLDmHDyTRbh0UyZPNEaOfOnejRoweCgoIgCALWrl1boczs2bNRt25duLq6IiYmBrt27TLpWklJSdDpdAgJCTEzaiIikjsPjQpfD2+Fbs1qolirw9hvD+OHwzdsHRbJjMrWAeTn5yM6OhojRoxAv379Kry+cuVKjB8/HrNnz8YTTzyBefPmIT4+HqdPn0ZoaCgAICYmBkVFRRXq/vHHHwgKCgIAZGZm4sUXX8TChQsfG09RUVG5tnJycgAAJSUlUKlU+q/N9aANU9sypb6xdQwtb0g5c/trj+TUZ2vEIuU1OD4cmzX7qwDwef8IuLso8NPRW3hr9THcyy9EQmyYVePh+JAuFkMZ2qYgyujoXkEQsGbNGvTu3Vv/XNu2bdGyZUvMmTNH/1zTpk3Ru3dvTJs2zaB2i4qK0LlzZ7z00ksYNmzYY8tOnToVH3zwQYXnV6xYAXd3d8M6QkREsqITgbXXFNiRWvZBSLfaWnSrLUIQbBwYWUxBQQGGDBmC7OxseHt7V1rO5neEHqe4uBiHDx/Gu+++W+75Ll26YO/evQa1IYoihg8fjqeffrrKJAgAJk2ahIkTJ+q/z8nJQUhICLp06QI3Nzds2rQJnTt3hlqtNq4zf1FSUmJWW6bUN7aOoeUNKWduf+2RnPpsjVikvAbHh2OzVX+fE0Ukbr+ML7ZewoYbSgSGhOIf3RpDqy3l+JC4jpTjw1QPPtGpiqwToYyMDGi1WgQGBpZ7PjAwEGlphk1627NnD1auXImoqCj9/KNly5YhMjLykeU1Gg00Gk2F59Vqtf6H9PDX5jK3LVPqG1vH0PKGlJPyvbMXcuqzNWLh+DC9nJx+V6zBFv2d0KUJfD00mPrraSzZl4K8Ih0+6tnEavFwfEgXiyFtGkLWidADwl/uXYqiWOG5yjz55JPQ6XSWCIuIiOzQ8CfqwttNjbd/OI4fj9xAzv1idK38kxNycLJOhAICAqBUKivc/UlPT69wl8jSOFnavHLONhkUkFefORlU+jocH6aTQ397RAbCTRWNN1Ydx6Yz6bjqrUDHTvdRzdMy1+P4kC4WQznUZOmYmBjMnj1b/1x4eDh69epl8GRpUyQmJiIxMRFarRbnz5/nZGkiIgd0IVvAgrMKFOkEhHmKeKWJFh7O8+mkQzN0srTNE6G8vDxcvHgRANCiRQvMmDEDcXFx8PPzQ2hoKFauXIlhw4Zh7ty5iI2Nxfz587FgwQKcOnUKYWFhVbRuvpycHPj4+CAjI4OTpc0o52yTQQF59ZmTpaWvw/FhOrn19/DVTIxckoSCUgENa3hgUUIMAr1dJb0Gx4d0sRgqJycHAQEB8l81lpSUhLi4OP33D1ZsJSQkYPHixRg4cCAyMzPx4YcfIjU1FREREVi/fr1VkqCHcbI0J4OaSk595mRQ6etwfJhOLv2NqeOPN5pp8c1lD1xIz8fgrw9h+ai2CPP3kPxaHB/SxWJIm4aweSLUqVMnVHVTauzYsRg7dqyVIno0zhEyr5wc5gRYm5z6zDlC0tfh+DCd3PpbUlKCmu7AsuEtMPrbY0jJuo/n5+zFooQYNK7pJdk1Hv6vLduyt/FhKrucIyQnnCNEROR8coqB2WeUSC0Q4K4U8UpTLepIkwuRldnNHCG54xwhzoEwlZz6zDlC0tfh+DCd3Pr713iy75fgpWVHcPR6NtzUCswe0gJPNvCX9Bq2bMvexoep7GaOkL3gHCHOgTCVnPrMOULS1+H4MJ3c+vsgngC1Gt++1A6vLDuMXRcy8Mryo/hycHN0i6gl2TWk4Gzjw1iGtmfz0+eJiIjkxt1FhYUJrdA98sHJ9Uew6tB1W4dFFsBEiIiI6BE0KiW+GtwSA1uFQCcC7/x4HAt3XbZ1WCQxfjRmIK4aM6+c3FaJWIOc+sxVY9LX4fgwndz6W1U8/+rZBF6uSizcfRUf/XYGmXmFmPBMA4OPejLkGlLGa4n6XDXmhLhqjIiIHrbppoB1KUoAwBOBOjxfVweF4bkQWRlXjUmEq8a4KsZUcuozV41JX4fjw3Ry668x8Xx36Dqm/HoGogj8LbImpveLgFpZ9SwTjg/pYjEUV41JjKvGuCrGVHLqM1eNSV+H48N0cuuvIfG82L4efD1cMWFlMtadSEN+sRazh8bAzUUp2TUM5Wzjw1hcNUZERGQBPaKDsDChFVzVCmw7dwcvfnMA2fflMd+JjMdEiIiIyEidGtfA8lFt4eWqwqGrdzF4/n7cyS2ydVhkAn40ZiCuGjOvnNxWiViDnPrMVWPS1+H4MJ3c+mtqPNHBXvh2ZGuMWHIYp1Nz0H/uXiweHoPgam6SXUPKeM2pz1VjToirxoiIyBDp94E5Z5TIKhJQzUXEq021qMn/XdgcV41JhKvGuCrGVHLqM1eNSV+H48N0cuuvFPGkZhdixJLDuHQnH77uanz9YktEBvtIeg2p2rK38WEqrhqTGFeNcVWMqeTUZ64ak74Ox4fp5NZfc+IJDVBj9Zj2GLHoII7dyMawb5KwMKE1YuuXP6yV40O6WAxp0xCcLE1ERCQBPw8XfPtSO7Sv74/8Yi0SFh3EptO3bR0WVYGJEBERkUQ8NSp8M7w1uoQHorhUhzHLD+PHwzdsHRY9BhMhIiIiCbmqlZg9tCWej6kNrU7Em6uPYfG+a7YOiyrBOUIG4vJ588rJbbmsNcipz1w+L30djg/Tya2/lorn455N4emiwOJ9Kfh4/Tl0ra3As8XFZrfrbOPDVFw+byYunyciInOJIvDHTQHrr5cdwfFUTR361OFhrdbA5fMS4fJ5Lg82lZz6zOXz0tfh+DCd3PprjXiW7L2Cj36/AADoGVULn/ZtZtBhrY/ibOPDVFw+LzEun+fyYFPJqc9cPi99HY4P08mtv5aMJ6F9XVy7cBbfXVbhl+OpyC/WInFoS7iqDTus9VGcbXwYi8vniYiIZKRVdRGzhzSHRqXAlrPpePGbg8gplMc8KWfGRIiIiMhK4hpXx9KRbeClUeHglSwMnr8fGXk8rNWWmAgRERFZUdt6/vju5Xbw93DBqVs5GDB3H27eu2/rsJwWEyEiIiIriwj2weoxsQiu5obLGfl4fs5eXEzPs3VYTomJEBERkQ3Uq+6JH16NRYMankjNLsSAeftw/MY9W4fldLhqzEDcUNG8cnLbQM0a5NRnbqgofR2OD9PJrb+2HB8B7ip8O7IVRi87ghM3czB4/n7Me6EF2tb1s1i89jY+TMUNFc3EDRWJiMhaCrXAwrMKXMhRQCWIGN5Ih0g//u/ZHNxQUSLcUJEbxplKTn3mhorS1+H4MJ3c+iuX8VFUosWE1Sew6Uw6lAoB03o3Q58WQZLHa2/jw1TcUFFi3FCRG8aZSk595oaK0tfh+DCd3Ppr6/GhVqsx54UYvPvTCfxw+Abe+ekk8op1GPlkXaPbMjcWqepwQ0UiIiIymEqpwPR+URj1Z/Lz4brTmPHHOfDDG8thIkRERCQjCoWA955rire6NAIAfLn1Iqb8cgo6HZMhS2AiREREJDOCIOC1pxviX70jIAjA0n3XMGFVMkq0OluH5nCYCBEREcnUsHZhmDmwOVQKAT8n38Iryw7jfrHW1mE5FCZCREREMtareTAWvNgKrmoFtp5Nx8ilh1FQauuoHAcTISIiIpmLa1IDy0a1hZerCknX7mHWKSUPa5UIEyEiIiI70LqOH1a+HIsATxfcLBAwaMEhXM8qsHVYdo+JEBERkZ0ID/LG96PbwE8j4lpWAfrP3YcLt3NtHZZd44aKBuJZY+aVk9vZQtYgpz7zrDHp63B8mE5u/bW38RHkrcYbzbRYdt0HF+/ko//cfVj4YktE1/axWCw8a8wJ8awxIiKSs/wSYN5ZJa7lCXBRiBjdRIfGPvxf+gM8a0wiPGuMZymZSk59lstZStZqi+ND3uTWX3seH8U6AWO/S8beS1lQKwV83j8KXZsFSh4LzxojnjXGs5RMJqc+2/osJWu3xfEhb3Lrrz2OD3e1GotGtMGElclYfyINr688hk/7RmFA6xCLxMKzxoiIiEhWNColvhrcEgNbhUAnAu/8eBzzd16ydVh2g4kQERGRnVMqBHzaLxKvdKwHAPhk/VlM33CWh7UagIkQERGRAxAEAZPim+Ld+CYAgNnbL+Efa05Cy8NaH4uJEBERkQMZ07E+Pu0bCYUAfHcwBa9/fxTFpTystTJMhIiIiBzMoDahmDWkJdRKAb8dT8WoJYdQUMwDyh6FiRAREZED6h5ZC98Mbw13FyV2XcjA0IUHcK+g2NZhyQ4TISIiIgfVoWF1LB/dFj5uahxNuYeB8/bjdk6hrcOSFSZCREREDqxlqC9Wj4lFoLcG527nYtDCQ8hgLqTHRIiIiMjBNQr0wg9j2qOOvztu3L2PL04qcTaNh7UCTISIiIicQoifO1aPaY8mNb2QUyJgyNeHkHQ1y9Zh2RwTISIiIidR3UuDb0e2Ql0vEbmFpXjh6wPYfi7d1mHZFBMhIiIiJ+LtpsbYplp0bBSAwhIdRi9Jws/JN20dls3w0FUDlZSUQKVS6b+Woj1z2jKlvrF1DC1vSDlz+2uP5NRna8Qi5TU4Phyb3PrrjOPDRQl82b8Z3vv1HH49nobxK5NxN78IQ9s8+rBWW44PUxnapiDyIJJHSkxMRGJiIrRaLc6fP48VK1bA3d3d1mERERFJRicCP11RYNftsg+Iuodo0SVYhCDYODAJFBQUYMiQIcjOzoa3t3el5ZgIVSEnJwc+Pj7IyMiAm5sbNm3ahM6dO0OtVpvVbklJiVltmVLf2DqGljeknLn9tUdy6rM1YpHyGhwfjk1u/XX28SGKIr7cegmztl8GAAyPDcWkbo2hUAiV1pEqRku+9zk5OQgICKgyEeJHYwZSq9X6H9LDX0vZrrXqG1vH0PKGlJPyvbMXcuqzNWLh+DC9nJx+V6xBbv115vHxVrem8PN0xYfrTmPxvhTkFunw736RUCkVldaRMkZLvPeGtsfJ0kRERISRT9bFjAHRUCoE/HjkBsYsP4LCEq2tw7I4JkJEREQEAOjbsjbmvRADF5UCm8/cRsI3B5FbKI9J7ZbCRIiIiIj0ng0PxNKRbeCpUeHAlSwMXrAfmfmOe1grEyEiIiIqp109f3z/cjv4e7jg5M0cDF5wEFlFto7KMpgIERERUQURwT5YPSYWwdXccCWzAF+cVOLSnXxbhyU5JkJERET0SPWqe+KHV2NRL8AD94oFDF54EMdv3LN1WJJiIkRERESVquXjhu9Gt0aIh4i7BSUYPH8/9l7KsHVYkmEiRERERI/l5+GC15ppEVvPD/nFWgz/5hA2nkqzdViSYCJEREREVXJVAgteaIGuzQJRrNXh1eWHsSrpuq3DMhsTISIiIjKIRq1E4pCWGNCqNnQi8M4Px7Fw12Vbh2UWJkJERERkMJVSgX/3i8LLT9UDAHz02xlM33AW9np0KRMhIiIiMoogCPhH96b4v25NAACzt1/C5LUnodXZXzLERIiIiIhM8mqn+pjWNxKCAKw4kILXvz+K4lKdrcMyChMhIiIiMtngNqFIHNISaqWA346nYtSSQygoLrV1WAZjIkRERERm6R5ZC98Mbw13FyV2XchAwuLDyLeTs1qZCBEREZHZOjSsjuWj28LHTY3k69n46pQSt3MKbR1WlZgIERERkSRahvpi9ZhYBHppkHpfwKAFB3E1Q97nkzERIiIiIsk0CvTCdy+1RoBGxI17hXh+7j6cvpVj67AqxUSIiIiIJBXi6443IrRoUtMLGXlFGDh/Hw5dzbJ1WI/k8IlQbm4uWrdujebNmyMyMhILFiywdUhEREQOz9sF+HZkK7Su44vcwlIM+/oAtp1Nt3VYFTh8IuTu7o4dO3YgOTkZBw4cwLRp05CZmWnrsIiIiByet5saS0e2RVzj6igs0eGlpUn4OfmmrcMqx+ETIaVSCXd3dwBAYWEhtFqt3W4DTkREZG/cXJSY/2Ir9G4ehFKdiPErk7F031Vbh6Vn80Ro586d6NGjB4KCgiAIAtauXVuhzOzZs1G3bl24uroiJiYGu3btMuoa9+7dQ3R0NGrXro133nkHAQEBEkVPREREVVErFZgxoDkSYsMgisD7P5/CF5svyOLGhM0Tofz8fERHR2PWrFmPfH3lypUYP348Jk+ejKNHj6JDhw6Ij49HSkqKvkxMTAwiIiIqPG7dugUAqFatGo4dO4YrV65gxYoVuH37tlX6RkRERGUUCgFTezbD+GcbAgA+33weH60/B1sfT6ay7eWB+Ph4xMfHV/r6jBkzMGrUKIwePRoAMHPmTGzcuBFz5szBtGnTAACHDx826FqBgYGIiorCzp070b9//0eWKSoqQlFRkf777OxsAEBWVhZcXV1RUFCAzMxMqNVqg65ZmZKSErPaMqW+sXUMLW9IOXP7a4/k1GdrxCLlNTg+HJvc+svxIX2dx5Uf1sIfqtICTN94AYt3nMUxfx1atb4Dd1eN0X15nNzcXACo+q6TKCMAxDVr1ui/LyoqEpVKpfjTTz+VK/f666+LTz31lEFtpqWlidnZ2aIoimJ2drYYHh4uHjt2rNLyU6ZMEQHwwQcffPDBBx8O8Lh+/fpj8wSb3xF6nIyMDGi1WgQGBpZ7PjAwEGlpaQa1cePGDYwaNQqiKEIURbz22muIioqqtPykSZMwceJE/fc6nQ5ZWVnw9/eHIAho3bo1Dh06ZFqH/sLctkypb2wdQ8tXVS4nJwchISG4fv06vL29Db6+vZPy98Uc1nr/OT5MK+eM40MuY+MBa8Qj1TWk+H2xp/FhKlEUkZubi6CgoMeWk3Ui9IAgCOW+F0WxwnOViYmJQXJyssHX0mg00GjK356rVq2a/mulUinZP1TmtmVKfWPrGFre0HLe3t5O8w89IO3vixQs/f5zfJhXzpnGh9zGhjXikfoa5vy+2OP4MIWPj0+VZWw+WfpxAgICoFQqK9z9SU9Pr3CXyFrGjRsnm7ZMqW9sHUPLS/m+OBJne184PqSLxdHJ7T2xRjxy6jPHx/8If87NkQVBELBmzRr07t1b/1zbtm0RExOD2bNn658LDw9Hr1699JOlSf5ycnLg4+OD7OxsWf0V6Cz4/ssbfz5kDP6+SMvmH43l5eXh4sWL+u+vXLmC5ORk+Pn5ITQ0FBMnTsSwYcPQqlUrxMbGYv78+UhJScGYMWNsGDUZS6PRYMqUKRU+diTr4Psvb/z5kDH4+yItm98R2r59O+Li4io8n5CQgMWLFwMo21Bx+vTpSE1NRUREBD7//HM89dRTVo6UiIiIHI3NEyEiIiIiW5H1ZGkiIiIiS2IiRERERE6LiRARERE5LSZCZLSdO3eiR48eCAoKgiAIWLt2bZV1Fi9eXG5jyocZ2gYBc+bMQVRUlH4jtdjYWPz++++PrcP33nIMGQuiKGLq1KkICgqCm5sbOnXqhFOnTj223alTp6J58+YVnr969SoEQTBqk1iSj6lTp0IQhHKPmjVrlivD3xfrYyJERsvPz0d0dDRmzZpl61CcTu3atfHpp58iKSkJSUlJePrpp9GrV68q/6EkyzBkLEyfPh0zZszArFmzcOjQIdSsWROdO3fWHwhJzqVZs2ZITU3VP06cOFHudf6+WB8TITJafHw8PvroI/Tt21fyth/1F5MgCPqtFJxdjx490L17dzRq1AiNGjXCxx9/DE9PT+zfv9/stvneG6+qsSCKImbOnInJkyejb9++iIiIwJIlS1BQUIAVK1aYff3hw4c/8me2fft2s9smy1CpVKhZs6b+Ub16df1r/H2xDSZCJCtvvfVWub+W/vvf/8Ld3R2tWrWydWiyo9Vq8f333yM/Px+xsbFmt8f3XnpXrlxBWloaunTpon9Oo9GgY8eO2Lt3r9ntf/HFF+V+Zm+88QZq1KiBJk2amN02WcaFCxcQFBSEunXrYtCgQbh8+bL+Nf6+2IbNd5Ym55GdnQ1PT8/HlvH09NSX2b9/P9577z0sWbIEERER1gjRLpw4cQKxsbEoLCyEp6cn1qxZg/Dw8MfW4XtvGw/OSfzr2YiBgYG4du3aY+ueOHGiws/sr9u++fj46A+V/OmnnzB37lxs3ry5wrwTkoe2bdti6dKlaNSoEW7fvo2PPvoI7du3x6lTp+Dv78/fFxthIkRW4+XlhSNHjlR4vmHDhhWeS0lJQe/evfHWW29hwIAB1gjPbjRu3BjJycm4d+8efvzxRyQkJGDHjh2PTYb43tuWIAjlvhdFscJzf9W4cWP88ssv5Z67efMmOnXqVKHs0aNH8eKLLyIxMRFPPvmk2fGSZcTHx+u/joyMRGxsLOrXr48lS5Zg4sSJ+tf4+2JdTITIahQKBRo0aFBlufz8fPTs2ROxsbH48MMPrRCZfXFxcdG/j61atcKhQ4fwxRdfYN68eZXW4XtvGw/+0k5LS0OtWrX0z6enp1f4q/+vHv45P6BSVfwnOy0tDT179sSoUaMwatQoCaIma/Hw8EBkZCQuXLgAgL8vtsI5QiQroijihRdegE6nw7Jly6r8K4jK3rOioiJJ2uF7L626deuiZs2a2LRpk/654uJi7NixA+3btze7/cLCQvTq1QtNmjTBjBkzzG6PrKuoqAhnzpzRJz38fbEN3hEio+Xl5eHixYv6769cuYLk5GT4+fkhNDTUrLanTp2KzZs3448//kBeXh7y8vIAlH227ebmZlbbjuAf//gH4uPjERISgtzcXHz//ffYvn07NmzYYHbbfO+NV9VYEAQB48ePxyeffIKGDRuiYcOG+OSTT+Du7o4hQ4aYff1XXnkF169fx5YtW3Dnzh39835+fnBxcTG7fZLWW2+9hR49eiA0NBTp6en46KOPkJOTg4SEBADg74uNMBEioyUlJSEuLk7//YPPthMSEsxear1jxw7k5eVV+Otn0aJFGD58uFltO4Lbt29j2LBhSE1NhY+PD6KiorBhwwZ07tzZ7Lb53hvPkLHwzjvv4P79+xg7dizu3r2Ltm3b4o8//oCXl5fZ19+xYwdSU1MrzA/btm3bI+eGkG3duHEDgwcPRkZGBqpXr4527dph//79CAsL05fh74v18fR5IiIiclqcI0REREROi4kQEREROS0mQkREROS0mAgRERGR02IiRERERE6LiRARERE5LSZCRERE5LSYCBEREZHTYiJERGZZvHgxqlWrZrH269Spg5kzZ1qsfSJybkyEiBzc8OHDIQhChUe3bt0kaX/gwIE4f/68/vupU6eiefPmRrdTWUJ16NAhvPzyy2ZEWLXt27c/8j167733LHpdIrI9njVG5AS6deuGRYsWlXtOo9FI0rabm5tFD2WtXr26xdr+q3PnzsHb21v/vaenZ4UyWq0WgiBAoeDfkUSOgCOZyAloNBrUrFmz3MPX1xdA2d0QFxcX7Nq1S1/+s88+Q0BAAFJTUwEA9+7dw8svv4zAwEC4uroiIiIC69atA1D+Ts7ixYvxwQcf4NixY/q7Kg8OH50xYwYiIyPh4eGBkJAQjB07Vn/C/fbt2zFixAhkZ2fr602dOhVAxY/GUlJS0KtXL3h6esLb2xsDBgzA7du39a8/uCO1bNky1KlTBz4+Phg0aBByc3OrfJ9q1KhR7j3y9PTU92/dunUIDw+HRqPBtWvXUFxcjHfeeQfBwcHw8PBA27ZtsX379nLtLV68GKGhoXB3d0efPn3w2WeflbvrNXz4cPTu3btcnfHjx5c7AFMURUyfPh316tWDm5sboqOj8cMPP+hff3A3a8uWLWjVqhXc3d3Rvn17nDt3rly7v/zyC1q1agVXV1cEBASgb9++AIAPP/wQkZGRFd6LmJgYvP/++1W+Z0T2jokQkZPr1KkTxo8fj2HDhiE7OxvHjh3D5MmTsWDBAtSqVQs6nQ7x8fHYu3cvli9fjtOnT+PTTz+FUqms0NbAgQPx5ptvolmzZkhNTUVqaioGDhwIAFAoFPjyyy9x8uRJLFmyBFu3bsU777wDAGjfvj1mzpwJb29vfb233nqrQvuiKKJ3797IysrCjh07sGnTJly6dEl/jQcuXbqEtWvXYt26dVi3bh127NiBTz/91OT3qKCgANOmTcPChQtx6tQp1KhRAyNGjMCePXvw/fff4/jx4+jfvz+6deuGCxcuAAAOHDiAkSNHYuzYsUhOTkZcXBw++ugjo6/93nvvYdGiRZgzZw5OnTqFCRMm4IUXXsCOHTvKlZs8eTI+++wzJCUlQaVSYeTIkfrXfvvtN/Tt2xfPPfccjh49qk+aAGDkyJE4ffo0Dh06pC9//PhxHD16FMOHDzfh3SKyMyIRObSEhARRqVSKHh4e5R4ffvihvkxRUZHYokULccCAAWKzZs3E0aNH61/buHGjqFAoxHPnzj2y/UWLFok+Pj7676dMmSJGR0dXGdeqVatEf3//Stt5ICwsTPz8889FURTFP/74Q1QqlWJKSor+9VOnTokAxIMHD+qv7+7uLubk5OjLvP3222Lbtm0rjWXbtm0igArvUUZGhrho0SIRgJicnKwvf/HiRVEQBPHmzZvl2nnmmWfESZMmiaIoioMHDxa7detW7vWBAweW62NCQoLYq1evcmXeeOMNsWPHjqIoimJeXp7o6uoq7t27t1yZUaNGiYMHDy4X++bNm/Wv//bbbyIA8f79+6IoimJsbKw4dOjQSvsfHx8vvvrqq/rvx48fL3bq1KnS8kSOhHOEiJxAXFwc5syZU+45Pz8//dcuLi5Yvnw5oqKiEBYWVu6jqOTkZNSuXRuNGjUyK4Zt27bhk08+wenTp5GTk4PS0lIUFhYiPz8fHh4eBrVx5swZhISEICQkRP9ceHg4qlWrhjNnzqB169YAyj5O8/Ly0pepVasW0tPTq2x/165d5eo9+PjQxcUFUVFR+uePHDkCURQrvCdFRUXw9/fXx9qnT59yr8fGxmLDhg0G9RUATp8+jcLCQnTu3Lnc88XFxWjRokW55x6Or1atWgCA9PR0hIaGIjk5GS+99FKl13nppZcwcuRIzJgxA0qlEt9++y0+++wzg+MksmdMhIicgIeHBxo0aPDYMnv37gUAZGVlISsrS5+cSDER+tq1a+jevTvGjBmDf/3rX/Dz88Pu3bsxatQolJSUGNyOKIoQBKHK59VqdbnXBUGATqersv26des+cuWam5tbufZ1Oh2USiUOHz5c4SPCBxOsRVGs8noKhaJCuYffjwcx//bbbwgODi5X7q+T3R/u84NYH9Sv6mfYo0cPaDQarFmzBhqNBkVFRejXr1+V8RM5AiZCRIRLly5hwoQJWLBgAVatWoUXX3wRW7ZsgUKhQFRUFG7cuIHz588bdFfIxcUFWq223HNJSUkoLS3FZ599pl9ttWrVqirr/VV4eDhSUlJw/fp1/V2h06dPIzs7G02bNjWmy2Zp0aIFtFot0tPT0aFDh0pj3b9/f7nn/vp99erVcfLkyXLPJScn65OaB5OzU1JS0LFjR5PjjYqKwpYtWzBixIhHvq5SqZCQkIBFixZBo9Fg0KBBcHd3N/l6RPaEiRCREygqKkJaWlq551QqFQICAqDVajFs2DB06dIFI0aMQHx8PCIjI/HZZ5/h7bffRseOHfHUU0+hX79+mDFjBho0aICzZ89WuhdRnTp1cOXKFf1Hal5eXqhfvz5KS0vx1VdfoUePHtizZw/mzp1boV5eXh62bNmC6OhouLu7V/if8bPPPouoqCgMHToUM2fORGlpKcaOHYuOHTvqJ/9aQ6NGjTB06FC8+OKL+Oyzz9CiRQtkZGRg69atiIyMRPfu3fH666+jffv2mD59Onr37o0//vijwsdiTz/9NP7zn/9g6dKliI2NxfLly3Hy5En9x15eXl546623MGHCBOh0Ojz55JPIycnB3r174enpiYSEBIPinTJlCp555hnUr18fgwYNQmlpKX7//Xf9ZHUAGD16tD6Z3LNnj0TvFJEdsOkMJSKyuISEBBFAhUfjxo1FURTFDz74QKxVq5aYkZGhr7N27VrRxcVFPHr0qCiKopiZmSmOGDFC9Pf3F11dXcWIiAhx3bp1oihWnORcWFgo9uvXT6xWrZoIQFy0aJEoiqI4Y8YMsVatWqKbm5vYtWtXcenSpSIA8e7du/q6Y8aMEf39/UUA4pQpU0RRLD9ZWhRF8dq1a2LPnj1FDw8P0cvLS+zfv7+Ylpamf/1Rk7U///xzMSwsrNL36MGE44djeaCySdzFxcXi+++/L9apU0dUq9VizZo1xT59+ojHjx/Xl/n666/F2rVri25ubmKPHj3E//73vxXaev/998XAwEDRx8dHnDBhgvjaa6/pJ0uLoijqdDrxiy++EBs3biyq1WqxevXqYteuXcUdO3ZUGvvRo0dFAOKVK1f0z/34449i8+bNRRcXFzEgIEDs27dvhT516NBBDA8Pr/R9InJEgiga8EE2ERGZbfHixRg/fjzu3btn61AqEEURTZo0wSuvvIKJEyfaOhwiq+FHY0RETi49PR3Lli3DzZs3K51HROSomAgRETm5wMBABAQEYP78+fotA4icBT8aIyIiIqfFIzaIiIjIaTERIiIiIqfFRIiIiIicFhMhIiIiclpMhIiIiMhpMREiIiIip8VEiIiIiJwWEyEiIiJyWv8PbvKeukHsmGUAAAAASUVORK5CYII=",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def amplitude_ratio(lehr, f0, f):\n",
|
|
" eta = f / f0\n",
|
|
" return 1 / np.sqrt((1 - eta**2)**2 + (2 * eta * lehr)**2)\n",
|
|
"\n",
|
|
"f_in = np.geomspace(0.5, 90, 100) * unit.Hz\n",
|
|
"ratio = amplitude_ratio(lehr_dampening, f0, f_in)\n",
|
|
"\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"plt.plot(f_in, ratio)\n",
|
|
"\n",
|
|
"def transmissibility_plot_setup(plt):\n",
|
|
" plt.xscale('log')\n",
|
|
" xticks = [1, 3, 10, 50]\n",
|
|
" plt.xticks(xticks, [f\"{t} Hz\" for t in xticks], minor=False)\n",
|
|
" plt.xlabel(\"Excitation Frequency\")\n",
|
|
" \n",
|
|
" plt.ylim(0.001, 10)\n",
|
|
" plt.yscale('log')\n",
|
|
" plt.ylabel(\"Transmissibility Ratio\")\n",
|
|
" \n",
|
|
" plt.grid(True, \"both\")\n",
|
|
"\n",
|
|
"transmissibility_plot_setup(plt)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 34,
|
|
"id": "fea96fd4-46e1-4f07-8fb4-25ccc0ee82a5",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/usr/lib/python3.13/site-packages/matplotlib/cbook.py:1355: UnitStrippedWarning: The unit of the quantity is stripped when downcasting to ndarray.\n",
|
|
" return np.asarray(x, float)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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0dDS2trZYFpLs8VkIlj579iy//vorDRs2xNzcvNidMzpSU1OZOHEinTp1Ii4urlgdW1vt+y8jI4NVq1Yxc+ZM/XMymQwLC4tC9fP2V1cZwBDfygtjrn/Tpk0ZM2YMr776KlZWVkX6vWPHDkJDQ/H09MTS0hI7O7si2zh58iSvv/46s2bNon///uzYsYPRo0cTEhLCSy8V3HWpm0WRSCSlum7PU7B0Tk4OVlZWtGvXrsB9auggUYwRMpDCgqXLepTVVmn0jdUxVN4QOVNeO/3xeAkKa1fM7FwN1pO4aXcyyRNvmdyn6EytT34Ofkb1WRcnpAuYLux4lKEiM1eNmUxCbQ8Hg23Xcdd+WEYmZZv+NchzyNLSUCckglSKbf16BunYPq48r4yIQKZQmOz9Yor7QxfAWdih+9AuTsZQOUNtGXNkZWUxfPhwVq1ahZOTk8G2x48fz9ChQ2nVqhVAifIAb7/9Nt9++y0JCQn5zhfVpq6/ubm5+pJIhcnNmjWLJk2asHbtWnx9fbG3t2fixIkIgsDXX3+Np6cn7u7uzJ07N5+eTCZj1apV9O3bF1tbW+rVq8fp06cJDw+nU6dO2NnZ0bp1ayIiIoy6/r169WLOnDkMHDiw2GsTExPDO++8w/r16/Xvo+LaWLp0KV27duWTTz4hMDCQTz75hM6dO7N06dJir19eH5KTk2nZsiX9+/dHoVAglUr5+++/8ff3x8bGhs6dO/Prr78ik8lITU01+v1m7HvUlPeHIW0Vd0+XhDgQEnm2MTZQWofb4xmXuOum9Yf/AqV97X2N0qvpqO1DcQHTt2K108c1q9hiJjP89vVz1S7rxqTmkKVQlSBdeiwfPADAomYNpIVsOS8MeZUqyN3dQRDIuVG+y3ZlRRAEshQq/ZGtUOd7XNRhiFxJMsamfJs4cSK9evWiS5cuBuusWbOGsLAwPv/8c6PaGjJkCLVq1WLWrFlG6R08eBB3d3fq5Umm+SRhYWHs3r2bPXv2sHHjRlavXk2vXr24f/8+R48eZf78+Xz66aecOnUqn96XX37JiBEjCA0NJSAggKFDhzJ27FimTZvGuXPnAJg0aZJR/hqCRqNh+PDhTJkypdh+5eXkyZN069Yt37nu3btz4sQJg/Tv379P27ZtCQgI4I8//sDS0pLIyEgGDhxI//79CQ0NZezYsUyfPt3o/rwIiEtjIs82idoaYwaV1shL1ccDoUflNxDys/cjl1yD9Wo6aAdCd1PuFilzy8gdYzqcrM2xkQtkqiSEx2dSv5phS4jGYvF4IGQZWPjSXlFY1qtHRmws2VevYt2sWXm4ZhKylWoCP9tbIW1fn9Uda3PDPrI3bdrEhQsXOHv2rMH279y5w8cff8yxY8f0G0MMRSKRMG/ePPr06cP7779PzZqG/TDZuXNniQWyNRoNq1evxs7OjsDAQDp27MitW7fYtWsXUqkUf39/5s+fz5EjR2jZsqVeb/To0Qx6nKTzo48+Ijg4mBkzZtC9e3cA3n33XUaPHm1UPw1h/vz5yOVy3nnnHYN1YmNjC2RGdnNzIzY2tkTd27dv07VrV/r168eSJUv0MywrVqzA39+fhQsXAuDv78/Vq1eZM2eOEb15MRBnhESebXQzQs4lZ2POh24glBQGymyTuSMIQplnhMJTw4uUufl4Rsjf3fi4gKqPJ2jCy3ELveWDh9q/Rg6ErOprfznrapSJlJ7o6Gjeffddfvvtt0JjmwpDrVYzdOhQvvjiC+rUqVOqdrt3706bNm2YMWOGQfKCIPD333/Tt2/fYuV8fX3zBWG7ubkRGBioX37TnYuLi8un1/DxkqvueYAGj3cl6s7l5OSUKdj4Sc6fP8+SJUtYu3at0fEuT8oLglCijezsbNq0aUP//v1ZunRpPvlbt27RvHn+eMAWLVoY5dOLgjgjZCDi9vmyyZXX9nlZom7rvJ9hW+d1WLogt3JCkp2MMuYaeJQc1GsI8dnxZCgzkEqkuFu6c4tbBvfZx1a7hf5BxgNSs1KxNitY0uVmjHZtv6arldGvfVVLgYh0CXdj01AGGpbfyBiUSqV+Rkju72+Uf/KAAACyr1xBqVRWivujsO3zFjIJV2d2BbRfVBnpGdja2ZYYDFqSnCEyFjKJQduLz549S1xcHE2bNtWfU6vVhISE8P3335OdnV1gm3Fqairnzp3j4sWL+uUi3bZkuVzOnj176NSpU4G2dP7ortFXX31F69atmTx5sr5fRaUeOH/+PAqFglatWhWbVsDMzKzA83K5PN85iUSCWq3Od04mk+kf65YVCzunUqlKvYX7ydQKISEhxMXF4e3trT+nVquZPHkyixcvJjQ0tNA23N3diYmJyXf+0aNHuLm5FZu6wcLCgs6dO/PPP/8wefJkvLy88vmW96/Ol7z64vZ5LeJAqAjE7fPGyz/t7fMSjYqeMVeRAiHXY0iPMGDrfB5ay9xwJZkrBzYT7fLAJD6FK7WzOU4SJ44eOgoY12dbiS0ZQga/7f4NL7lXvudUGgiL126df3D9LLtKzr2YDzcr7Rfsv5fvUDPnlnHKBiDLyKDm4yDMI1FRCI8eGacLKCMj2fPHH2gez2RU9u3zVuYy1LklzygaIleSTHpOic0A0Lx5c44fP57v3KRJk6hduzbvvvsumZmFzwg+qfPzzz9z7Ngx1q5di4+PT6EzJxkZGQBkZmaSlpZGQEAAffr0YerUqajVanJzc4uccdm1axddu3Yt0h/QBlOr1ep8NpRKJSqVKt85lUqFQqHIdy47O1v/+Ek/4b+t1enp6frZJWO3cOdtA6Bfv34FdnkNHDiQQYMGMWzYsCLbaNasGbt37+b11/+rS7hr1y6aNWtW7IyVRCLh+++/580336RTp0789ddfeHhoizb7+fmxf//+fPq6mKOMjAwcHBzE7fOPEQdCRSBun6/82+clkceQX8pBsKlC25ffBIlxK73SvSFw7iZBnmY06GyaLfSbb2+Gc1DPox5dW3U1us87Du7g3KNzuNd3L1Bz7GZsOprTJ7GzlDOsf1ejpt6VSiVXNh8AIMfcgZ49gw3vlIGkHTlKHCD38aHHgAFG60f+9DOqmBjaV/dG3iiowu+PZ3X7vL29PdWqVStwzt3dPV8MzSeffMKDBw9Yt24dQL7nAPbu3Yu1tXWB83nRbZ+3sbHRb+OeN28eDRo0QC6XF7t9fvfu3cyaNavY7d8WFhbIZLJ8MmZmZsjl8nzn5HJ5gfQAebe2F+an7oetnZ1dsVvb85KRkcHdu//F8D169Ijw8HCcnZ3x9vbG3t4eX1/ffDrm5ub4+PjQpEkTfRujRo2iWrVqfPXVVwB88MEHdOjQgRUrVtC3b1927tzJ0aNHCQkJKfL6gXYg5OTkxKZNmxg6dCgDBgzg0KFDuLu78/bbb7N8+XK++uorXn/9dUJDQ9m0aZO+z7q/4vZ5cSBkMIVtrzW13aelb6yOofKGyJny2hFxGABJrS6YmRdfyqFQ3LVxKbL4m8hM5NO5OO1ulPpV6pfq/VLbqTbnHp3jXvq9AjphCdrZAn83O8xLUTi1qpX2wzMyMQu5XG7y4pKqO7cBbXxQaV5jq/r1SY+JQXnzJlbNtQHTFXl/6GqN5d0OnpdnrdbYk7ZjY2OJjo4usj3d+6M4f3TP5b1GAQEBvP7666xcubLI/ty5c4eIiAi6d+9erP3CfNBtRX9S78lzeX0qzM+8fyUSiT455OHDh+nQoUOh/ly4cIGOHTvqH+uWAEeOHMnatWuL7UfebeLR0dH5ati1adOGTZs28emnn/LZZ59Rs2ZNNm/eTHBw4T9Y8i4hSaVSzM3N2bRpE4MHD6ZLly4cOXKEmjVrsnXrViZPnszSpUsJDg5m+vTpjB8/HktLSxQKxXNRa+zJ7fN5MfTeFwdCIs8ud7UzHNTuWjr9qo+3tppoC71CreDEQ+3Uc3uv9qWyocslVNjOsf8CpY3bMabDxQJkUglZCjWxaTl4OBi2vd1Qch9vfbcIrFsqfct69Ujfv5+cq1epuNR6zydHjhwpcK64L26AmTNnMjNPgsTC8PX1LXRb/48//siPP/5YpN7OnTtp27atfqbGGB8K8/vJ/j3pU2F+dujQQX9Oo9EQFRWFo6MjQUFFxwvm1TGUyMhIfRtF+QvaJTRdfiJDGDp0KOPGjdM/lsvlbNu2LZ9M37598wWjz5kzBy8vL/1ASESLuGtM5Nkk9b52ACORQo2OJcsXRtXHX9jpMSYpwHo29izZqmyqWlWlrnPpBgPF5RK6fD8FgACP0g0T5FKo7qQd/ITHm37nWO517YDSwsgdYzos62uTXOZcu2Yyn0QqJ9WqVeP999+vaDfyceDAAaZNm4bTE2VenmWWL1/O2bNnCQ8P59dff2XhwoWMHDmyot2qdIgzQiLPJnceB8F6NQdr59LZsLQHB29IjYK4G+DbukwuHb2vDY5u69W21MtOulxCDzMfkqXM0u8cS8lScDpCO1hrV7v0RVNruNoQmZhFWHwGrU1YfFWdkoLq8dZ5i8c7wIzFsp52AKW4dw+1Cbc0i1Q+Bg0aZNJt66Zg5syZFVrmozy4c+cOs2fPJikpCW9vbyZPnsy0adMq2q1KhzgQMhBx+3zZ5Ey9fV52ey9SQF2jM5oy2JRV8UeaGoU65gqaaqXPsSEIAkejtQOhNh5tSr0F3EZmg4ulC4k5idxOvE09F+3y3d6rD1FrBPzdbPG0Nzf6OurkfZy1wYR3HqWbNJVBxuOsvgpnZzRWxm3t12Nri7yaJ6oHD8m8cgWofNvn8yJWny89la2/z2L1eUNsffPNN3zzzTcm8eV53j4vEYxd8HxByLt9/vbt22zYsEG/y0CkYpFoVPS8MgG5Jocj/rNItfYtta26D7dQ59HfRLh05LJ36bPMPlI/4rv075Aj5xOHTzCXGB/MrGN1xmrCVeG8bPUyTSyaAPDTTSlXkqX8z0tDj+ql/xA9+UjCpnAZAQ4axgea5gNfmpODz7eLMUtJIblNa+L79Cm1LY/f1mN35QrxPXuQ3L50cVamQrd9vnr16qUKThcRESl/FAoF0dHRxMbGFrp9fujQoaSmphY72yfOCBWBuH2+8m6fl0SGPN42X5XWr4wzett8PltXs+DPv/GxysKrZ+m30K+9vhZCoaVnS/p36A+Uvs9Xzl0h/HY4Nr429GzckyyFiqlnjwAaJvRtTV0P44Oldb70bNuMTeEXSZdY07NnO6PtFEbc55+TlpKCvFo1Erp1K9NrnBwTS+KVK/goVSSDuH3+OaWy9fdp+GPKNspqS6w+nx9xIGQg4vb5SrR9PvwQAJLaXUu3bT4vHtqU+9L4m0jlcijlB9Sxh8cA6FC9Q6FbOI3pcx1nbYmDiLQIzMzMOHEzgVyVhurOVjSo7lSmD1FdFfqHqTmoBClW5rISNIon/cgR0v7YDhIJbl9+yfX4uDK9xjYNG5AIKG7cgC6dxe3zzymVrb9Pwx9TtlFWW6XRf563z1f8O1BExFh02+ZrGV5Vu0hc64BUDrmp2p1opSA5J5lL8ZcAaOdV9lkWfc2xFG2W6r3XtIUX/1fPvcy/JJ1tzHGwMkMQIKKMNcfUKSnEzvhMa3fECH3un7Jg+bhat+r+faQGZoUVERERKQviQEjk2SIlCuJvgkQGNUu5bT4vcnNwqa39v5T5hP598C8aQUMdpzp42HqU2aW8O8dSsjM4eFNbTLJ7Pfcy25ZIJNSoYgNAeEJGmWzFzp6DKj4ecz8/qrz/Xpl9A5A5OGD2uE6T5QPTlD0RERERKQ5xICTybKHbNl+9BViZKN+H2+O8N6UcCIXcDwFKn0TxSRwtHXGxdAHgz+sXSM9RUcXOgibepulvDVdtEruy5BJK27OXtL//BqkUz/nzkBpY5dwQdNvoLe6LAyEREZHyRxwIiTxbmHJZTIcuseIj4wdCSo2S4w+0xSrbVzfdLiddhun9d7VLbl0D3ZBKTRPEWauqdiB0/WHp8rioEhKI/eILAFzeehOrhg1N4pcOq8eJFcUZIRGRotmwYQPOzqXMoSaSD3EgJPLsoMqFcG2uHmp3M53dMpTaCI0LJV2ZjrOlM/Vd6pvMJV2c0NW4O4BplsV0NPfVziydiUwyulyAIAjEzJyJOjkZC39/qkyYYDK/dFjWezwQul+6mC0RCAkJoU+fPnh6eiKRSNixY0eJOjExMQwdOhR/f3+kUinvvfdeiTqRkZFIJBKqVq1aoHp4o0aNSizRAdqSGcUVdq1MGHtdx44di0QiYfHixSXa3rZtG4GBgVhYWBAYGMj27dtN47RIiYi7xgxETKhYNjlTJFSURBxDrsxEsHVD5RIApkoI6FIHM0CIv4UqJwtkhu8yOnRPu4OttUdrNGoNGvV/uXnK0mdfO18AcqUPsbOU06y6fZmuXV5f6rrZYGkmJSlTwY0HKdR2K77eU17S/vqLjAMHQS6n6pzZqCQS/etgqqSZsjramC2z5GRyYmLAw/i4qxc9oWJ6ejoNGzZk5MiRvPrqq0X2IS/Z2dm4uroybdo0lixZYpAvuufT09NZuHBhgYFPUTby9vfPP/+kb9++FZpY0dDrb8x13bFjB6dPn8bT0xNBEIpt4+TJkwwePJhZs2bRv39/duzYwaBBgwgJCeGll14q0l+gVNdNTKiYHzGhYhGICRUrH00iV1A9+QT3XNoT6v2G6QwLGnpdHodck8OhgK9It/IyTE0QWJK+hARNAq9Zv0Z9c9PNCEWpoliZsRKNyhb/5GmMrG3a2/T7a1LupEkZ6KemrbthtuUpqfh8+y2ynBwSuncnqZMJgtWLoPr3y7CKjq7QxIrPS0JFJycnfvvtN3r16mWwTu/evWnQoAFz584tVk5Xsf3tt99mzZo1XLhwgSpVqgDQtm1bevXqxccff1ykfk5ODrVq1WL//v3UrVuwPt+8efP4559/GDt2LPPmzSMlJYVBgwaxcOFCvv/+e5YvX45Go2Hs2LF8+OGH+fq8aNEi9uzZw7Fjx6hevTrfffcdrq6uvPPOO1y8eJF69erx448/4ufnZ/B1yUtx1/Xhw4d07dqVrVu3MnjwYMaPH8/48eOLtPX666+TlpbG1q1b9ecGDhyIg4MDP//8c6E6GzZsYNq0ady7dw+ApKQkXn31VapWrcqaNWuwtLRk165dzJgxg4cPH9KsWTOGDh3KhAkTiIyMxMHBoVT9rmyICRXLETGhYiVLqJgeg/zSWQCq9f0UT8/GxtsoBmlcPXh4nnYBLgj1DEuseD7uPAkHEjCXmjOh1wRszfLPrJSlz7mqXFZuXoNUnkGP1s70bFbwV6ExPOlLuFUYSw6FkWXjSc+eRVfb1iEIAg/HjSc7JweLBvV5ad5cJPL8Hx+mTJqZlJlJ0qwv8bhylZZz5yIxMr9IuSVUFARQZj3+VyA9IwM7W9uSE8aVIGeQLTPrUue5srKyMqqOllwux9zcvEQdXfX4kSNHcuzYMRYvXsx3330HgEwmw8LColAbuiR6Z86cwd3dvdBZDwALCwsiIyM5cuQIe/bsISwsjEGDBvHgwQPq1KnDkSNHOHHiBGPGjKFnz575lti++eYbvv76a5YsWcLHH3/M2LFjqVGjBtOnT8fb25sxY8Ywbdo0du3aVeqkfoVdV41Gw6RJk5gyZQovvfQSUqkUS0tL7Ozsimzj3LlzvPfee/ls9ezZkyVLlhR5/UC7C9Te3p779+/Tu3dvmjZtys8//4xcLicyMpJRo0bxzjvv8MYbb3Dx4kWmTp0K/Pe6iQkVtYgDIQMREypWcELFi+tAowTvYOQ+pa8JViRezeDheeT3z0Cj1wxSWX9rPQB9a/XFybroHV2l6fP12ExUmb7Ibe8gtw3HzKyNUfol+dKqVhWWHArjTGQycrm8xA+g5E2byT5xAomFBdXmz8fcyqrENsqCY69exM9fANHRKC9cwCY4uFR2TJ5QUZEJ8/6bMXQ00KYhciXKfPIQzG0MbDE/RSWFLA5DEtzpnpfJZMybN48+ffrwwQcfULNmzWJt6JZA/vrrL/r161dkOxKJBI1Gw5o1a7Czs6N+/fp07NiRW7dusXv3bqRSKXXr1mXhwoWEhITQqlUrve7o0aN57TXtvfzxxx8THBzMjBkz6NGjBwDvvvsuo0ePRiqVljqpX2HXdf78+cjlct599139fSWRSPL9/6RObGws7u7u+c67u7sTGxtb7PUDuHv3Ll27dqVfv34sWbJE387KlSvx9/fn66+/BqBu3bpcv36dOXPmFOtLUYgJFUVEKhJlNpxbrf2/pemDcwGo0UH7N/yIQeIRqREcidbKjggcYXJ3VoaEo87SfplciD9rcvtB1R2xkEtJyFAQVsI2ekV0NI8WLACg6gfvY1Gjhsn9eRKptTXpjbWzfsmbt5R7eyJlp3v37rRp04YZM2YYJC8IAn///Td9+/YtVs7X1xc7u//Kyri5uREYGJjvS9PNzY24uLh8eg3z7GZ0c3MDoEGDBvnO5eTkGDxrYAjnz59nyZIlrF271ujZjSflBUEo0UZ2djZt2rShf//+LF26NJ/8rVu3aN68eT75Fi3K4Ufkc4A4IyRS+bm8GbKTwNEbAgyPczAK39baJI1JYdqkjY7exYr/ev1XADp4dcDPoXQxBkURHp/BrqsxSCxqYQGciz2HSqNCLjXd7WppJqOxtyOnwpM4HZGo31L/JIJGQ8y0TxCysrBu3hyn4cNN5kNJpLzUAsdTp0g/cABVQgJyV9en1naRmFlrZ2bQ/pJNS0/H3s6uxF+8JckZZMus8scozps3j+DgYKZMmVKi7Pnz51EoFLRpU/xs55O/6nW//p8892SgbV4Z3QChsHOmDNI+duwYcXFxeHv/9/mhVquZPHkyixcvJjQ0tFA93exPXuLi4vQDuKKwsLCgS5cu/PPPP0yZMgUvr/9mKwsbSIkhwYUjzgiJVG4EAU79oP3/pXEgLVttrCKxdIBqTbX/lzArlJidyM6wnQCMrDfS5K6sOBqGIEAH30bYmduRoczgRuINk7fzkp82aeOp8KQiZZJ//ZWsc+eQWFvj8dUco2N1yoLC0xOLhg1ApSLlj0qylVgi0S5P6Q4z6/yPizoMkStJphIUJy2JFi1a8PLLLxcbIK1j165d9OzZs8BOn2eZ4cOHc/nyZUJDQ/WHp6cnU6ZMYffu3UXqBQcHs3///nzn9u3bl2+przCkUim//vorTZs2pVOnTjx8+FD/XEBAAGfP5p9NPnfuXCl69fwjDoREKjdhh7QlNcxtofH/lW9bBi6Pbb61mVx1LvVd6tPUralJXYhJzWb7RW0iwYkd69DcTTu1fTr2tEnbAWhZQzsQOh2eWOgvxdzwcOIWfQuA29SpmFevbnIfSsJh4KsApPz+O0IFbq9+1sjIyNB/EQNEREQQGhpKVFSUXmbatGmMGJF/WVenk5GRQXx8PKGhoVy/blx+rTlz5nDo0CFu3bpVrNzu3btLXBarbJR0XV1cXKhfv36+w8zMDHd3d/z9/fV2RowYwbRp0/SP3333Xfbt28f8+fO5efMm8+fP58CBAwblcpLJZKxfv56goCA6deqkn1kaO3YsN2/e5KOPPuL27dts2bKFtWvXAgWX4V50xIGQSOXm1HLt38bDtbM25Ymudln4USjiSzdHlcOmm5sA7WyQqT9QVoVEoFQLvOTnTFMfJ1p4aNf0T8eYfiDU2NsRc5mUuPRcIhPzFzgVVCoefjwNITcXm9atcRw8yOTtG4Lt/7ojtbNDGR1N5omTFeLDs8i5c+do3LgxjR/HWX3wwQc0btyYzz77TC8TExOTb2AE6HXOnz/Phg0baNy4MT17GraLUkedOnV4/fXXycnJKVImLCyMiIgIunfvbpTt8iQqKgqZTMaRI0eKlDHkuhraVkxMjP5xq1at2LRpE2vWrKFhw4asXbuWzZs3F7mb7knkcjkbN26kXr16dOrUibi4OPz8/Ni6dSt//PEHDRs25IcffmD69OmAdklN5D/EGCGRykv8rcclNSTw0lvl3161ZmBmA1kJEHcN3BsUENkZtpPk3GQ8bTzp4mPCMh9AUqaCjWe0X0wTO2pLbLT00G4Hvhh3EYVagbnMdPlsLM1kNKruyJnIJE6FJ+Ln+t+OpMSffibn8mWkdnZ4zJldYb8gpVZWOPTtS/L69aRs3oxtm9YV4sezRocOHUqMB9HNDuTF2BgSX1/fQnV+/PFHfvzxxyL1du7cSdu2bfXbuIti5syZBZI0Fub3k4OXJ30qzM+810ij0RAVFYWjoyNBQUWnkzDkuj5JZGSkvo2i/AVt3qCBAwcabHfo0KGMGzdO/1gul7Nt27Z8Mn379s036zZnzhy8vLywtLREoVAY3NbzjjgjJFJ50cUGBfQC5/LfqYTcXBs0DRB2uMDTGkGjD5IeHjjcpMHLAGuPR5CtVFO/mj1ta2sDg2s41MDVypVcdS6X4i+ZtD2AljW0tYpOhyfqz+XcvEn8smUAuH86HTN305X3KA262aj0Q4dQPrEzSOTZpFq1arz//vsV7UY+Dhw4wLRp03ByMlEx50rA8uXLOXv2LOHh4fz6668sXLiQkSNNH9f4rCPOCBmIWGKjbHJG+5sShfzSRiSAqtmbCAbqxYalcv9mCvU7eGJpY3wuG6lPW2R39qEJO4y6Rf5MsEfuHyEyLRJbM1t6+/Y2yXXRkZ6jYu2JSADGtvXLlyG1edXm7L63m5MPTtLIpZFxHSrBl6be2uXGk+GJ2l+IKhUPpn4ESiU2nTph1aOHyd8vxtoy8/PDslEjckJDSfr9d5zfKnl28EUvsVHZefXVV0lPT680/RUEgZkzZ2JnZ1du/pjyNTbU1u3bt5k9ezZJSUl4e3vzwQcf8PHHH4slNp5ALLFRBGKJjYqlRdi3eKRdJME2gOO1ppW4Y0ajgJRbFmTd1y4dWbiqcG2WbfRGG7vs+3S6+QkqiTm7G/6ARqodTKkEFd+nf0+CJoG2Fm3pbmXa2IaDDyTsjJJR1VJgWiM1eQvNn8s9x47sHXjLvHnLzrRLhAo1fHxWhlqQMKOxCv+je3E5dBiVjQ333n8PdZ78LRWJ3fnzeGz5HaWTIxFTp8JT2L32vJTYEBF5njFFiQ1xIFQCuhIbCQkJYomNMsgZ07bk9m7kvw9HkMpRjTkKVfyLlBUEgbvn4jn5Rzg5GdrRv0QqQdAItHqlBvU7VCuxn08YRL6kHpLMOFT/twPBR5vj5McrP/LjlR9xtXRlW+9t2JmXPEAwtM9x6bn0WHqctBwVcwfUY2CT/D4/zHhI7529kUvkHBl4BOtS5JMpzpfXVp3hfFQKixvI8J8zGTQa3L/5Gttu3UzWRln91eTkENm5C5q0NDyWL8OmbVuT+1JUiQ1fX98CqfvBtCUEylpm4FmjsvX3afhjyjbKaqs0+pW5xEZkZCTVq1cvtMSGq6urWGvMVIglNp5SiQ1FFuzT7myQBE/CzLPoQqYpj7I4uvEW928mA+DsaUOHof7ER2dwbPNtTv8ZiXegKy7VDK+uDmi30V/ZgvzeMajVkcjUSFZf02a2/qjFRzjbOBtlrqQ+z951mbQcFfWr2fNqM2/ksvyzHT5OPlSzrcaDjAdcTrpMW6/iBwHG+tKypgtXIuJx+2ERaDTY9+6NkxEFOg1po8y2zMxw6N+P5F9+JX3bHzh26lRuvhRbYiMPpiwhUNYyA88ala2/T8MfU7ZRVlul0RdLbIiIPC2OfQ2pUWDvBe2nFiqiVmo4tyuCTV+e4f7NZGRmUlr2r8GgT5rjUcuRBh2q4V3PBbVKw/7V11ErjVx31m+jP4IgCMw+NRulRknraq3p7mvaJbHdV2LYfTUWuVTCgleCCgyCdLzkod1GWx7b6FvWcGHk9d04JjxEXqUK7p9ON3kbpsBp8GAAMo4cQfnoUQV7IyIi8rwgDoREKg/xt+H4Uu3/PeYXWmDy4Z1kNs85w+mdEahVGqoHOjPksxY0/Z8vMrn27SyRSOg0IgBLWzMSH2Rw6s8w4/zwa/+4sYv8fXMzp2NPYyGzYPpL0006bZ6apeSzndcAGNe+JoGeRU/dvuSuHQidiT1jsvZ11IsPo3/YMQCkU6cjc3Q0eRumwKJmTayaNQW1mpStWyvaHRERkecEcSAkUjkQBNg1WVthvnb3AjXFcjKUHPrlBtu/uUhybBZW9uZ0e6Mefd4OwqFKwZgZGwcLOo2oC0DogWiibxZdRqIADtXAtQ4pElh4QZtZeVzQOKrbmTaz8pxd14lPz6VGFRsmdapVrKwuseLNpJuk5KSYzAdNZiZJn81AisBun5c4YF+8HxWNblYoZes2BLW6gr0RERF5HhAHQiKVg0ubICIE5Jba2aDHMy+CIHDrVAzrZ57ixgltJtZ6bT0Z+vlL1G7uVuwMjV9DV+q19QTg4Nob5GQasa27Rge+dXYkWZVFLcdajAw0be6Nf+8ksOXcfSQSWPBKQyzNiq+35GrlSi3HWggInIo9ZTI/Hi1ciPL+fXJdqvJT/T7suhJTslIFYtetGzJHR1QxMWSEhFS0OyIiIs8B4kBIpOKJvQr/fKD9v92H4Kyt5p7yKIs/F4dyYO0NcjKUOHva8PKUpnQYFmBwjqDWA2vj6GZNZkouR9bfNDgr7H5HV/6w0wZZf9ZyBmYy0wT/AmTmqvj4j8sAjGjpQzNfw4Kv21TT7mA7cO+ASfzIOPYvKZs2A1Bl9hxyzC25dD+V6KSsEjQrDqmFBQ79+wOQsnlLxTojIlKBbNiwAWdn4zZuiBSOOBASqViykmDzMFBmQY2O0OYD1EoNZ//RBkM/uJWM3ExK8ICaDJreHI+axtUbM7OQ0fX1QKRSCWEX4rl5MrZEnVtJt5geoU1VPyI1jcaC6QZBGo3Ah79f4n5yNp4Olkz5X4DBuv/z+x8AR6OPkqUs22BFnZZGzKefAuA0fDjVOrahhZ/2Q3X31co9K+Q4SJtpOiMkBGVM5fa1MjB37lwkEolBBTx1HD9+HLlcTqNGjYqVi4yMRCKRULVqVdLT0/M916hRowLlMQpj7dq1tGzZ0mDfKpK5c+fSvHlz7OzsqFq1Kv379y+2uOzYsWORSCQsXry4RNvbtm0jMDAQCwsLAgMD2b59uwk9FykOcSAkUnFo1LBtDCRHgqM3DFzNg7tpbJp9hjN/aYOhvQOdee2zl2jS3QdZETuqSqKqjz3N+2hnmY5tvk1qfHaRssk5ybx7+F2yVdm0lNjyflIKXDFdYO6i/bfZfTUWc5mUJUMaY2theAaLQOdAqttVJ0edw9H7R8vkx6M5X6F69AhzHx+qfqAtddCrgQcA/1wpebBYkVjU8MO6RQvQaEj5XQyaLo6zZ8+ycuVKGjZsaLBOamoqI0aMoHPnzgbrpKen8/XXX5fGRXbu3Em/fv1Kpfu0OXr0KBMnTuTUqVPs378flUpFt27dyMzMLCC7Y8cOTp8+jaenZ4l2T548yeDBgxk+fDiXLl1i+PDhDBo0iNOnTb9LVKQg4kBIpOI4NBvCDoLcipw+v3Jw6yN2LLpIyqPHwdBj6tH77SAcqliVuakm3X3wqOWAMlfNgTXX0KgLbqlXaVRMOTqFBxkP8LL1YmHQJG2irat/aIO5y8j2i/f5/vBdAOa+3IDmBi6J6ZBIJPzPVzsrtDtid6n9SD9wgNQ//wSpFI95c5Faaa9v9/ruSCRwKTqF+8mVd3kM/qs/lrJ1K8IT2WRFtGRkZDBs2DBWrVplVP2ssWPHMnToUIKDgw3Wefvtt1m0aBFxRtaCy8nJYd++ffkKg+Zl5syZNGrUiNWrV+Pt7Y2trS3jx49HrVazYMEC3N3dqVq1KnPmzMmnJ5FI+PHHH+nduzfW1tbUrVuXkydPcvfuXTp06ICNjQ3BwcGEhRm3o3TPnj2MGjWKevXqERQUxJo1a4iKiuL8+fP55B48eMCkSZNYv369QblsFi9eTNeuXZk2bRoBAQFMmzaNzp07GzSTpCMxMZEWLVrQt29fcnJyAO0gs3bt2lhZWdGxY0fWrVuHRCIhJSXFmG4/94gDIZGK4doO+HcRggA36/zI+h/SuakLhm5XjWEzX6J2s+KDoY1BKpXQZXQg5pYyYsPTOL/nXgGZb859w+nY01jJrVjaaSmOgS+Dua02r1F02batn7+XxEdbrwAwvkNNXmnqVSo7Pfx6APDvg39JU6QZra9OSiLm85kAuLzxOtaNG+ufq2pnSYvHg7PdlXxWyK5rV2ROTqji4sg4WrbZMWMQBIEsZZb+yFZl53tc1GGIXEkyxhYBmDhxIr169aJLly4G66xZs4awsDA+//xzo9oaMmQItWrVYtasWUbpHTx4EHd3d+rVq1ekTFhYGLt372bPnj1s3LiR1atX06tXL+7fv8/Ro0eZP38+n376KadO5d9E8OWXXzJixAhCQ0MJCAhg6NChjB07lmnTpnHu3DkAJk2aZJS/T5KamgqQL1ZHo9EwfPhwpkyZUmy/8nLy5Em6PZHJvXv37pw4ccIg/fv379O2bVsCAgL4448/sLS0JDIykoEDB9K/f39CQ0MZO3Ys06dXzhxhFY2YWVrk6XPvJOyYQIrKkyN8yYNDdoASl2o2dBgWgHsN4+KADMXexYp2Q/w5sOY6Z/+JpHpdZ31bv9/+nd9u/AbA3DZzqe1UW6sU0Bsub4KrW8H7pVK1ez85m7d+OY9CraFboBtTuhVdMqQkajvVpqZDTcJSwzgcdZh+tYxYUhAE4mbPRp2YiEXtWri+/XYBkZ4NPDgdkcSuqzG82a5Gqf0sb6Tm5ji8PICkn1eTvHkzdkYs45SFbFU2L20o3fugrJweetrg8iqbNm3iwoULnD171mD7d+7c4eOPP+bYsWP6AtOGIpFImDdvHn369OH999+nZs2aBukZsiym0WhYvXo1dnZ2BAYG0rFjR27dusWuXbuQSqX4+/szf/58jhw5ki/WaPTo0Qx6HE/20UcfERwczIwZM+jeXZsU9d1332X06NFG9TMvgiDwwQcf0KZNG+rX/y8D/vz585HL5bzzzjsG24qNjcXNzS3fOTc3N2JjS/5Bcvv2bbp27Uq/fv1YsmSJ/sfjihUr8Pf3Z+HChQD4+/tz9erVArNnIuKMkMhTRhJ1EvWvgzmT3IuNiUt5kOCsD4Z+9ZPm5TYI0uH/kju1m7shaAT2r7mOIkfF1ttbmXVS+0t2XNA4Ovvk+VJtMFD799p2UBu/BJOqgDd+uUBipoJAD3u+HdwIqbRss1y6oOndkcYtj9ldukTm/gMgl+Mxbx7SQgqJ9ni8PHYxKoWHKUXHUlUGnB5/yWUe+xfF/QcV7E3lITo6mnfffZfffvut0BpphaFWqxk6dChffPEFderUKVW73bt3p02bNsyYMcMgeUEQ+Pvvv4tcFtPh6+uLXZ7iv25ubgQGBuYrx+Dm5lZgWS5vXJRukNGgQYN853JyckhLM35mFbSzSZcvX2bjxo36c+fPn2fJkiWsXbvW6NnsJ+UFQSjRRnZ2Nm3atKF///4sXbo0n/ytW7do3rx5PvkWLVoY5dOLgjgjJPLUcMm4SezafRxNmk2KWrs05F3PmfZD/LF3LXsckKG0H1KHmLsppMVn88uqvSyx/wKAYXWHMSFoQn7hGh3Ayhky4yHiKNQyfObhfnI2S67KSMzNxMPBkp9GNsPGiODoovif7/9YFrqM0w9Pk5yTjJNlyfEfqvh4qu74EwDX8eOwKmLKvqq9Jc19nDkTmcSuKzGMaVt5Z4XMfXywDm5J1slTpGz9napG7IoqLVZyK04P1QawajQafbHIkmoplSRniIyV3LB75Pz588TFxdG0aVP9ObVaTUhICN9//z25ubnIZPnzVqWnp3Pu3DkuXryoXy7SaDQIgoBcLmffvn10MqC+27x58wgODmbKlCkG+alQKGjTpk2xck/G2OjqSj15TlezqjA93QChsHNP6hnC22+/zc6dOwkJCcHL679l7mPHjhEXF4e3t7f+nFqtZvLkySxevJjQ0NBC7bm7uxeY/YmLiyswS/QkFhYWdOnShX/++YcpU6bk86WwgZRYY71wxBkhkadCzo1/yT6XyZ/x00lRe2Ftb6YNhp4U9FQHQQAW1mZ0GR0ICORes8IvsSEjA0fyUfOPCv4Ck5lBvf7a/69uM7iNsPgMXvvpDIm5Eqo7WbFlbDCejqbpp6+DL3Wd66ISVByIKjmnkCAIxM38All2NhaBgbi+9Vax8j0buANU+uSKkCfT9LZtCEojEmaWEolEgrWZtf6wklvle1zUYYhcSTKGzjB07tyZK1euEBoaqj+aNWvGsGHDCA0NLTAIArC3ty+gM27cOPz9/QkNDeWllwxbDmzRogUvv/wyH3/8cYmyu3btomfPnoX6U1kRBIFJkybxxx9/cOjQIfz8/PI9P3z4cC5fvpzvOnp6ejJlyhR27y56Bjc4OJj9+/fnO7dv3z5atWpVrD9SqZRff/2Vpk2b0qlTJx4+fKh/LiAgoMDSqC42SiQ/4oyQgSiVSv26udIEH7g6G6W1VRp9Y3UMlS9JTggL4c+VsaSqOgACga3daN63JhbWclQVtONnT84fXPQMo/HDLnS7N5Jhw4OL9EVSdwDyc6sRbuxE1X2+Nvt1MdyMTWfU2vMkZipwtxL4dVRj3O3MTPK+0dHVuys3km6wK3wX/f36Fyubtn07WSEhaORynL+YiQqgGF+6BLjyxd9wISqFqIR0PBwMW14p63u6NLYs27VD5uyMOj6BlAMHsH0cGGyK+0OpVCIIAhqNptBZA92va51MURgiZ6gtQ7CxsSEwMLDAOWdnZwIDA/X2P/nkEx48eMC6desACuhUqVIFS0tL/fnC/NKdy3uNvvzySxo0aIBcLi+yP4IgsHv3bmbNmmXQtcsrIwhCoXafPJfXp8L8zPvX0Os/ceJENm7cyPbt27GxsdEPPBwcHLCyssLJyanADj0zMzPc3NyoU6cO6enpCILA8OHDqVatGl999RWgnWHq0KED8+bNo2/fvuzcuZMDBw4QEhJS7HsPtIPzX3/9laFDh9KpUycOHTqEu7s7b775JosWLWLq1Km8/vrrhIaGsnbt2mKvWXEY+x415f1RHLrXT6lUFhhUG3r/iwOhIli2bBnLli1D/bie0b59+7C21gYqPjlyLwtltVUafWN1DJUvICcI+CXsp/79DTSx7sSFnFewbGxFmn0GB48YWQjVRKgEFbuyd3FGcQZpdRl105phmeHItsUncW2eTaE/ugUN3cycscpN4uKWBcQ4NivS/t1U+PmWjCy1BC8bgfF11Vw6FcIlE/fDTK2d4j//6Dyb/96MndSuSFnzlBTcvbxIb9iQu+HhEB5eon0/Wxnh6RK+3XqYDh7GTac/7fvDtWFDnI8cIeyHFTxQKMrsi05HLpfj7u5ORkYGiifs5uXJRIJlkTPUlrGoVCoUCkW+eJioqCiioqKKjJHJzc1FrVYXG0OTkZEBQGZmpl7O3d2dYcOGsW7dOnJzcwvVj4iIICIiguDg4GLtF+aDUqlEpVLlO1dY/7Kzs/WPC/MzK0ubIiI9PR2pVEpUVBRBQUH89ddfRS7XrVixAqDAMuGyZcsYOnRooToajYacnBz9a5uenk5ERES+ftWvX5+ff/6ZOXPm8Nlnn+Hn58fq1aupW7dusddHEAT98ytWrOD111+nU6dO/PXXX1SpUoW1a9cyY8YMli5dSvPmzXn//feZPHkyCoUCS0vLUr3fjNUx5f1RGAqFguzsbEJCQgr8mNW9xiUhEcRFw2JJS0vDwcGBhIQErKys2L9/P127djUoN0RxKJXKMtkqjb6xOobKFyqnykG2eyrSyxu0MnVfYbe8B1169CrztSst8dnxfPTvR4TGhyJBwtuN3qa/8yC2LbiIWqkh+OUaNOhYrVBd6cHPkZ1ahqZuP9Qv/1zgeUEQ+Pn4Pb7efwe1RqCJtyPLX6vP6WNHTPJ+KYyRe0dyJfEKU5tO5TX/14qVVWRnc+DgQbp2726QL+tO3mP2rlvU97Rn+3jDsv6W9T1dWlvK6Pvc69kTJBJ8dv2DmZeXSe6PnJwcoqOj8fX1LTToWBAEfVxPcctWhsgZaut5YdGiRezdu5c9e/ZUiv7qZqiGDx/O3bt3jcq7ZEwbpnqNS2vrq6++4scffyQyMtJofWPbNOX9URw5OTlERkZSvXr1AvdpWloarq6upKamYm9vX6QNcUbIQMzMzPQfqHn/N6Xdp6VvrI6h8nq5tBjY/H/w4BxIpND1S2j2FsLu3Sa9dsYQGhfKB0c+ID47HjszO+a1m0c7r3YAtBlYi6Mbb3NmZyQ+9VxxqWZb0EDDQXBqGdI7e5Gqs8Hyv5sqPUfJlN+vsOeaNtjx5cbVmDOgAXKJdpq3vPrcs0ZPriReYW/UXobXH16yglRqsC8DmlRnwd47XH2Yxo1HmTT0cjTYr6d9f5jV8MOmdWsyjx8nY/sOfabs0vqi01Gr1UgkEqRSaaEBzLppfJ1MURgiZ6it5wUvLy/ef//9StNfjUbDgQMHmDZtGi4uLuXWBpjmNTbU1vLly2nevDkuLi4cP36cr7/+mkmTJukHHMb4Yqz/prw/ikMqleoD6J+81w299yv+HSjyfHF7H6xsrx0EWTrC/22DVpMofM2p/NEIGtbfWM/ovaOJz46npkNNNvbeqB8EgTaBo08DF9QqDft+voZKqS5oyCMIXGqBKgdu/qM/fSs2nX7fH2fPtVjMZBJm96/PN4OCsDIv/wDQbr7dkEqkXIq/RFiKaZcaXWwt6PE4aHrD6SiT2i4P9Jmm//jjqQRNi5SNQYMGlRgI/LSZOXMmH374YUW7YVLu3LlDv379CAwM5Msvv2Ty5MkG1X970RAHQiImQa7KRPbX27DhVch4BFUD4a3DULPkLbflRXRaNG/sfYN5Z+ah0qjo6tOV9b3W42Pvk09OIpHQaXhdrOzMSHqYyakdhcTQSCTQULtDifNrUao1LDt8lz7f/0t4QiaeDpb8Pq4V/9fS56lN9Ve1rkrH6h0B2HRzk8ntD3tJe53+DH1IWk7lHlzYdeyIrIor6oQE0g8eqmh3REQqBd9++y0PHz4kJyeH27dvM2PGDKOTZb4IiAMhkTIjuXuATjc/QXp5IyCB4Enw5iFwrpgcNBpBw2/Xf+PlnS9z7tE5rORWfNziY75p/w02ZjaF6ljbm9NpeF0ALh2MJvp6UkGhJiNAKofoU7y/+BcW7r2FQqWhg38V/n6nLY2qO5ZjrwpnsL92cPZX+F9kKgsWfiwLzX2dqF3Vlmylmh0XK3fCQomZGY6vvAJAypbNFeyNiIjIs4Q4EBIpPan34Y+3kG9+DStlMoKTH7y+B7rPAbOnmxtIx43EG4zaM4r5Z+eTo86hhXsLtvXdxrC6w0qcqfFt6Er9dtpg6YPrrpOTkX8WJMvCleuO2hmYNsnbcbQ2Y9GgINaMao6zTcEszU+Dlh4t8bX3JVOZyd9hf5vUtkQiYdhL2sRw609FVfpkbE6vvgoSCZknTqKIqvzLeSIiIpUDcSAkYjy5GXBoDnzXDC5vRkBCWJXuqN48Ct6G7TAyNbGZsUz/dzqD/x7MxbiLWMutmdFyBqu6raK6XXWD7bQaWAsnd2syUxUcXn8TQRBQqTVsOB1Fh4VHmBGjjWt42ewEB8c35OUmXhW660UikehnhTbd2mTywcqAJl5Ymcm49Sid8/eSTWrb1JhVq4ZNW+2257Sthie/FBERebERB0IihqNWwYVf4LsmELIAVNng3Qr16L1c9RoGBhaENCUZigyWXlhK7+292Rm2EwGBHn492NFvB4P8ByGVGPcWNzOX0fX1ekilEsIvxrN16026Lw7hk+1XiEvPJc4xiHTHupgLClxubymnXhlH31p9sZJbcTflLucfnTepbQcrM/oGeQKw/hkImtZlmk7/cwdUULJOERGRZwtxICRSMqocOPszfNcYdr6tDYZ28oNBv8LoXQieTZ66S8k5yXx/8Xu6b+vOqiuryFXn0qRqEzb03MCCdgvwsPUotW0XL1ucW1YB4P7BhyTGZuFkbcZnvQM5MLkDdu0e1yM7+xNoCtlh9pSxN7enp19PQDsrZGqGtdQuj/1zOYakzKITC1YGbNu3R+7mhjopGdtr1yraHRERkWcAMXxcpGhy06n5aBfy7z+EzMeVna1doc370OJNkFs8dZdiM2NZd20d2+5sI1ulrY7ua+/Le03fo1P1TmVapspVqfkz9CErQ8IJe5TBYJk51dUy3pDbMXzySzjq4oDqD4R9MyDlHtzZD/7/M0XXysSQgCFsu7ONg/cOEp8VTxXrKiaz3dDLkQbVHLjyIJWt56N5q11Nk9k2NRK5HMdXXiFh+XIcT5+uaHdERESeAcQZIZGCPLoO/0xGvrQB9R9uQpIZB/Ze0GMBvHdFmxfoKQ6CBEHgdMxpJh+ZTI9tPfjtxm9kq7Kp61yXr9t/zY5+O+js3bnUg6DY1ByWHrxDuwWHmbr1MnfjMrC1lOPUyQMzSxnSZCW3D93/T8HcGpo8TmB4ZqUJelh2/J39aVy1MSpBxdY7W01uXxc0veF0FBpN5Q6adnx1IEilWIeFk3vnTkW7IyIiUskRB0IiWhRZcHkL/NwdfgiGsz8hUWSQYeGOqtcSeOcivDRWOwh4SiTnJLPu2jr67OjDmH1j2HdvHypBRXP35vzY5Uc2995Md9/uyKTGJy9UqTUcuP6IMevO0mreQRbtv82jtFzc7C34pGcAJ6Z14qNX6tNhmD8A53ZFEhue+p+BZm8AEgg7CAl3TdTjsqELmt56aytKjWnz/vQJ8sTOQk5kYhZH78Sb1LapMfPwwKZzZwBS16+vYG8qJ5GRkUgkEkJDQyuF7VGjRtG/f3+T+/K8o1AoqFWrFsePH69oV1i7di2Ojo4mtTlw4EAWLVpkUpuFIQ6EXmTUKrhzAP4YC1/Xhj/ehOhTIJFB3b6ohm7jYN15CI2GgfzpbA/PVGbyV9hfTDgwgU5bOvH1ua+5l3YPGzMbBvsPZmufrazuvppW1VoZPQMkCAIXo5KZ9dd1Ws07xJhfznHgRhwaAVr4OfPt4CCOTe3EW+1qYmepTc1ep7k7dVq4IQiwf/U1FDmPA3Cd/aBOd+3/Z38y5SUoNV19uuJs6UxcdhyHow6b1LaNhZxBzbW7736ooIK5xuA4/P8ASP/rb1RJheSEeo6RSCTFHqNGjapoF8sd3WBMdzg5OdGuXTuOHj0KFLxGMpkMJycnZDJZvmuUV8bOzo5mzZrxxx9/6Nvp0KFDode4V69e+fxZvnw5NWvWxN3dnebNm3Ps2DH9c0qlko8++ogGDRpgY2ODp6cnI0aM0Fe2L45Vq1bh4+ND69at9edK8rm8GDx4MLdv3zapzc8++4w5c+YUW3jWFIgxQi8YUo0SSdhBuLsXru+ErIT/nnT0hkb/p00caO+hLVVwY1e5+5SuSOf4g+MciDrA0eij5Khz9M/Vda7LIP9B9PTriXUpdqVpNAKXH6Sy52osf19+yP3kbP1zTtZmDGzqxeDm3tSqWkh9sce0G+LPw7sppCXkcGzzbTqPDNQ+0eJNuL0HQtdDx2lg6WC0f6bEXGbOwDoDWXl5JauvrqarT1eTbu1/s20NfjkZyZmIJM5FJtHM19lktk2NZaNG5Hh5YXn/PilbtuA6blxFu/TUiImJ0f+/efNmPvvsM27duqU/Z2VlRXJy+aRCUCgqVzD9gQMHqFevHnFxcXzyySf07NmTq1evFnqNzpw5g52dHVKpFCur//KgrVmzhv/973+kpKSwcOFCXn31Vf7991+Cg4P5448/8vU5MTGRoKAgXn311Xz233vvPb7//nuCgoLYsGEDPXr04Pr163h7e5OVlcWFCxeYMWMGQUFBJCcn895779G3b1/OnTtXbP++//77QktmFOdzeWFlZZXvupmChg0b4uvry/r16xk/frxJbedFnBF6EciIg0ubkW17nR5XJiLfNBjOrdYOgqxdoPmb8MZ+ePcydPgI7Eu/48oQBEEgOi2a367/xph9Y2i3qR1TQqawN3IvOeocfOx9GBc0jj/7/8mWPlsYWGegUYOgjFwVe67GMOX3S7T46iD9lx1nxdEw7idnY20uo18jT1aNaMapTzozvVdgsYMgAAsrOV1HB4IEbp6M5e75x4HjNTqBqz/kpsGZVWW5JCZjWN1hWMmtuJZ4jRMPT5jUtruDJa808QJgeSWfFZJIJCS30f5KTl6/AcFEX9CCIKDJyvrvyM7O/7iowxC5EmQMzRHl7u6uPxwcHJBIJAXO6QgPD6djx45YW1sTFBTEyZMn89natm0b9erVw8LCAl9fX7755pt8z/v6+jJ79mxGjRqFg4MDb775ZgF/1Go1b7zxBn5+flhZWeHv78/SpUsL9f2LL76gatWq2NvbM3bs2HyDjK1bt9KgQQOsrKxwcXGhS5cuZGYWn03dxcUFd3d3GjZsyI8//khWVhb79u0r9Bq5ubkVeo0cHR1xd3cnICCAFStWYGlpyc6dOwFwdnbOZ2v//v1YW1vnGwgtWrSIN954gzFjxuDv78+3335L9erV+eGHHwBwcHBg//79DBo0CH9/f1q2bMl3333H+fPniSomMeilS5e4e/dugdmn4nzWvRY1a9bEw8ODunXrsmTJkny6R44coUWLFtjY2ODo6Ejr1q25d+8eAFeuXKFz587Y2dlhb29P06ZN9YO1vEtjt27dQiaTFZghWrRoEb6+vvr38vXr1+nVqxdeXl54eHgwfPhwEhIS8un07duXjRs3Fv0imwBxRuh5JDcDok5C+BHt8egqoB31SgHB1g2Jf08I6A012oOs/KvBJ+UkcVlxmXOnz3H20VkeZOQv2VDDoQbtq7enu293Ap0DjZrJyFWpCY1K4XhYIifDEgiNTkGp/u9Lw9ZCTvs6VejV0IOO/lVLVRDVs7YTTbr7cGHPPY6sv4l7DQdsnSyg7WTY/hacXAYtx4N54SU8nhbOls4MrDOQX6//ysrLK2ldrXXJSkYwtn1NtpyL5tDNOG7EpFHXw96k9k1JeoMGeB08hCo+nrS9e3Ho06fMNoXsbG41aZrv3CMDdQ2RK07G/8J5JNamjdGbPn06X3/9NbVr12b69OkMGTKEu3fvIpfLOX/+PIMGDWLmzJkMHjyYEydOMGHCBFxcXPItry1cuJAZM2bw6aefFtqGRqPBy8uLLVu24OrqyokTJ3jrrbdwcHBg5MiRermDBw9iaWnJ4cOHiYyMZPTo0bi6ujJnzhxiYmIYMmQICxYsYMCAAaSnp3Ps2DGjEohaP752yjIU5TUzM0Mulxdp4+eff+a1117Dxkb7OaBQKDh//jwff/xxPrlu3bpx4kTRP1RSU1ORSCTFxtycOHGCOnXqYG9f/D2Y12fda7Fp0yYsLS25fPky48aNw8PDg0GDBqFSqejfvz9vvvkmGzduRKFQcObMGf3n8VtvvUXTpk354YcfkMlkhIaGFlrh3d/fn6ZNm/L777/TrFkz/fkNGzYwdOhQJBIJMTExtG/fnjFjxvDFF18gk8mYNm0agwYN4tCh/+oFtmjRgrlz55Kbm4uFRfls0hEHQs8D6Y+0sT1Rp7QDoJjLIDyR38a9Aeqa3fg33o5WAydgZl5+u74EQSAqPYqLcRcJjQvlYtxFwlMfFzJ9PJEgl8ppXLUxHbw60KF6B7ztvQ22n5qt5GJUMufvaY8LUcnkKDX5ZHxdrOlc143OAVVp5uuMubzsk58tevsRfT2J+Kh0Dq67Tt93GiGp/wocmQvJEdpZtlZvl7mdsjKq3ig23dzEhbgLnIs9RzP3ZiUrGYifqw09G3jw9+UYfjgSxtIhjU1m2+TI5Ti8Npik774nad0v2PfuXaFZwCsjH374oX5G4YsvvqBevXrcvXuXgIAAFi1aROfOnZkxYwYAderU4fr16yxcuDDfQKhTp075qrZHRkbma8PMzIwvvvhC/9jPz4/jx4+zY8eOfAMhc3NzVq9ejbW1NfXq1WPWrFlMmTKFL7/8kpiYGFQqFS+//DI+PtpiwA0aNDC4n5mZmUybNg2ZTEb79u0N1stLbm4uCxcuJC0tjc6Pg/HzcubMGa5evcrPP/+sP5eQkIBarcbNzS2frJubG7GxsYW2k5OTw8cff8zQoUOLHeRERUXh6elplM+610Kj0ZCWlkaDBg04deoUW7ZsYdCgQaSlpZGamkrv3r2pWVObJqNuXW0NRo1Gw4MHD5g6dSoBAQEA1K5du8i2hw4dynfffcf8+fMBuH37NufPn+eXX34B4IcffqBJkyb6GCB7e3tWr15N9erVuX37NnXq1AGgWrVq5ObmEhsbq3/tTY04EHrWyE6BmFCk0edpHrEb+XefQNr9gnIO1aFGB6jZEfzag40rGqWSlF27wMhsy8UhCALxWfHcUN7g3uV73Ei+wfXE6yTlFAxQdZe607VOV4KrBdPUralBy11ZChXXH6Zx5UGq9rifyp24jAJyrrYWtKrpQquaLgTXdMHHxfQzMzK5lK6vB7Llq7Pcv5nMpUPRNOrirZ0V2jkJji+F5mMqrM6ajqrWVRlQawBbbm9h5eWVJh0IAYzvUJO/L8fw9+WHfNC1Dr6uFTsLVhwOAweSvHIVOVevkn3xItZNypb8U2Jlhf8FbfZujUZDWno69o/jSorCEDlDZCQmjr8AbQyGDg8P7ZJ4XFwcAQEB3Lhxg379+uWTb926NYsXL0atViOTaWdW8/7iL4oVK1bw008/ce/ePbKzs1EoFAUGMkFBQfpZG4Dg4GAyMjKIjo4mKCiIzp0706BBA7p37063bt0YOHAgTk5OxbbbqlUrpFIpWVlZeHh4sHbtWqMGUABDhgxBJpORnZ2Ng4MDX3/9NT169Cgg9/PPP1O/fn1atGhR4LknB+CCIBQ6KFcqlbz22mtoNBqWL19erF/Z2dlFzpAU57PutYiMjCQnJweFQkGjRo0A7VLfqFGj6N69O127dqVLly4MGjRI/96YMGECb731FuvXr6dLly68+uqr+gHTkwwePJipU6dy6tQpWrVqxfr162nUqBGBgdoYy/Pnz3P48OFCB3thYWH6gZAu7igrK6vY61EWxIFQZUWVC4lhEH9Tu7T16Jr2SI0GQAb891tAAlUDtXW+vIO1fx0Nr69lKFnKLCJSI7idfJvbybe5k3KHO8l3/hv0XP1P1kxqRn3X+jSq2ojGVRpTz6keJw+dpGeTnoVOpao1AveTs7gZm86tx8fN2DQiEjIpLG2Nr4s1TXycaObjTLPHVdKfxq99J3cbWg+szdENtzi5IwyvACdcGw6Go/O1r82FX7RpBiqY0fVHs+3ONk7GnORK/BUCHANMZruepwMd/atw+FY8P4aEM/dl475YniYyZ2cc+vYh5fetJK37pewDIYnkv+UpjQapSoXU2rrYgZBBcobaMjF570Xd/aPRaGdXC/uyLmwpSrcMVBRbtmzh/fff55tvviE4OBg7OzsWLFhQIB6pKHS7uvbv38+JEyfYt28f3333HdOnT+f06dP4+fkVqbt582YCAwNxdHTExcXFoPae5Ntvv6VLly7Y29tTtWrVQmWysrLYtGkTs2bNynfe1dUVmUxWYPYnLi6uwCyRUqlk0KBBREREcOjQoRKXvFxcXIrcpVWUz7rX4uuvv6ZBgwa4u7vzzTffcDpP8tE1a9bwzjvvsGfPHjZv3synn37K/v37adGiBR9//DGjRo1i9+7d7N69m88//5xNmzYxYMCAAj54eHjQtm1bNm7cSKtWrdi4cSNjx/732ajRaOjTpw9z584lIyMDW1tb/XtfN/ACSHq867NKFdMliX0ScSBUkQgaSIuB9ChICtcOfBJuQ/wtSI4suLylw9EbjUdjbqRa4t/xNeTVm5psx5JSoyQmI4bo9GgiUiIIyQrh70N/E5EWwaOswiMYpBIpVSRVeMn3JRpUaUA9l3rUca6Dhey/XytKpRJBgMSMXB6kZRCVlEl4vPYIi88gPCEThUpTqP2qdhY0qOZA/WoONKjmQCNvR1xtn35Wax312npy72oikZcT2L/6Oq9+3Ax5m/fgn8nw72JoOqpCsm7nxcvOi141erEzbCcrr6xkUVvT5uKY0LEWh2/Fs+38fd7rUhs3e0uT2jclTsOHk/L7VtL370f54AFm1apVtEvPBIGBgfz777/5zuniUnSzQYZw7NgxWrVqxYQJE/TnwsPDC8hdunSJ7Oxs/QzAqVOnsLW1xctLG6AvkUho3bo1rVu35rPPPsPHx4ft27fzwQcfFNl29erVi5yxMBR3d3dq1apVrMyWLVvIzc3l//7v//KdNzc3p2nTpuzfvz/f7NqTj3WDoDt37nD48GGDBm0NGzZkzZo1hQ5Yi/JZ91qMHz9evxwVFlZw40Pjxo1p3Lgx06ZNIzg4mA0bNuhnuurUqUNAQADvv/8+Q4YMYc2aNYUOhABeffVVvvjiC4YOHUpYWBivvfaa/rkmTZqwbds2fH19ycrKwt7evtAfAVevXsXLywtXV9cSr0lpEQdCFYEgIP+5E70e3UQeWsxuFnM7qOIPbvXArf7jv4Fg5YRaqeTurl3U8W0LhcywFIVSUBKdHk2iIpHYzFgeZDzgYcZDHmY+5EH6A2IyY1A/OQDL82PG2dKZ2o61qe1UmzpOdajjVIfqNtU5vO8w/2vRgzSFwKO0HA7fSOZBSjb3k7N4kJxNdFIW4fEyck8dLbq7cim1qtgS4G6H/+Mj0MOeqpXsS1YikdBpeAAbvzxD0sNMTu4Io+2A/4OQryH9oXY7fbPXK9pNxjQYw19hf3Ek+gi3k02b36O5rzPNfZ04G5nMT8fCmd4r0KT2TYllnTrYtAom88RJktZvwG3qlIp26Zlg8uTJNG/enC+//JLBgwdz8uRJvv/++xKXbJ6kVq1a/PLLL+zduxc/Pz9+/fVXzp49i7d3/rhAhULBG2+8waeffsq9e/f4/PPPmTRpElKplNOnT3Pw4EG6detG1apVOX36NPHx8fr4lYrm559/pn///oUOYD744AOGDx9OkyZNaNCgARs3biQqKopxj1M6qFQqBg4cyIULF/j7779Rq9X6GSRnZ2fMzQvP4da2bVsyMzO5du0a9evXN8jPvK9FlSpV2LFjB2fPntXPqkVERLBy5Ur69u2Lp6cnt27d4vbt24wYMYLs7GymTJnCkCFDqFmzJvfv3+fs2bO88sorRbbXu3dvJk+ezPjx4+nYsSPV8vwImThxIqtWrWLo0KGMHz8eHx8fwsPD2bRpE6tWrdIPto8dO0a3bt0M6l9peSEGQn///TeTJ09Go9Hw0UcfMWbMmIp1SCIBRSZyQYEgkSFx8gHnGtpCpq51oEod7bZsO3etbAkIgkCmMpOknCQScxJJyk4iPjue+Ox4ErITiM/S/o3NjCU5Nxn+Kt6ehcyC6nbVqW5bHWW8kvYNOlLFygcbqSe5Ckvi0nKIz8jlUmwuB9JzeZR2hfBYGR+eOZBvt1YhHUciAQ97S7xdrPFztaFmFVv9Uc3JCpn02QhmtbIzp9PwAP5ZdpnLh+7jU98F79bvwp6P4d9vofHwinYRPwc/uvl2Y2/kXlZfW0072pnU/oSOtRi95iy/nrrHmLY1cLYyfjfe08JpxAgyT5wk5fffqTJxAtISlnNEtL/Yt2zZwmeffcaXX36Jh4cHs2bNMjoh47hx4wgNDWXw4MFIJBKGDBnC+PHj+eeff/LJde7cmdq1a9OuXTtyc3N57bXX9Dly7O3tCQkJYfHixaSlpeHj48M333xTaKzO0+b27dv8+++/7Nu3r9DnBw8eTGJiIrNnzyYmJob69euza9cufeDv/fv39dvxdbE6Og4fPkyHDh0Ktevs7MyAAQNYv349c+fONchX3WsxZMgQQBtLNGHCBHbv3g1od9bdvHmTdevWkZiYiIeHB5MmTdKnMkhKSmLUqFE8evQIV1dXXn755XyB8E9ib29P79692bp1K6tXr873nKenJ8ePH2fq1Km88sorKBQKfHx8+N///qefGcrJyWH79u3s3bvXoP6VFolgzP7DZxCVSkVgYKA+KKtJkyacPn0aZ2fDksGlpaXh4OBAamoqVlZW7Nq1i549C49zMQZl1FmOnLpIh77/h5mlNuZAEASyVdmkKdJIV6Trj1RFKqm5qaQp0kjNTSUlJ4WknCSi4qPQWGhIyU0hV51rcNvmUnOcLapib1YFO3lVrCSumAnOoHJGrXAhK9ualCwVSRkK4lIzyVYbPjiRSLSBy56OVng5WuHlZEU1Jyvc7MyJvHKWYf26Y2tduWZ4ykLIxltcOfoAa3tzXvu4AVY/N4XMeOi3DGX9wSZ7v5SWW0m3GPjXQCRImGg3kdf7vG4yXwRB4NUVJzl3L5mhL3nzRe8A090fSmWZbD2pL2g0hPfoieLePdxmfIrzsGEl6uTk5BAREYGfnx+WlgXfs7qdN0VN6RsjZ6it54XK1t+n4Y8p29DZunfvHt26dePu3bvY2dmVqy/G6pji/li2bBl//vlnkYNMoNj7NO/3d3ExV8/9jNCZM2eoV6+efkquZ8+e7N27Vz8irig+DtvELcUtlu/dTZYyiwxlBpnKzILLUiWRJ5BehgVm2CPHHonaDtR2qJV2KHLtyMmxJjfHDo3KAdTWJFLU4CYrv9HHcjKpBBcbc5xtzKlqb0kVWwuq2ltQ1c4CF2s54dcuMKB7RzydbTGTFXzTK5VKdoWBhVnlnTUoDa1eqcX9W8kkx2ZxePM9egS/g+TADDgyDwL6lWygnPF39qerT1f239vPvux9vI7pluwkEgkf9Qjg1RUn2Xw2mlEtTR+gbyokUilOI4bz6MvZJP/yK05DhiCpBF/AIiJloUGDBixYsIDIyEijd8M9C5iZmfHdd9+VezuVfiAUEhLCwoULOX/+PDExMWzfvr1Acb7ly5ezcOFCYmJiqFevHosXL6Zt27YAPHz4MN+6pJeXFw8e5E/mVxEcuXcOhSQJUgo+JwhSBLUVaCwR1FaPD2vtX83j/1U2CGqbx+dtEFS2IBhWD8zWQo6DlRl2lnIcrc1wsDLD0cocB2szHK3NcLY2x9HaHHsLKVfOnWRAzy642lkjLWLZSqlUsisKPB2tCh0EPc/IzWV0faMeW+edI+JSAjcC+xJovwJSo5Ge+wmoUdEu8m6TdzkcdZjbqtuce3SOYC/Tpdlv7utMp4CqHLoZx7cH7vK/yptfEcf+/YlfvATFvXtkhIRgV8SSg4jIs0TeXEzPG2+99dZTaafSD4QyMzMJCgpi9OjRhQZl6eq4LF++nNatW/Pjjz/mq+NS2MpfZUiqJk3uT3ZWLoLGEkFtoR30aCy0AyDBDN1MjLlcirW5DCsz7WFhJsPaWoalXEp6cjx+1athY2mGrYUca3PZ479ybC3l2Flo/9paaA8rORw7tJ/evboZtNygVCqJvw5O1uZFDoJEoEp1O17qV4OTf4RxbFskni9/huORsUiPf4tZbcPW7ssTH3sfBtQawO93fmfJxSW0rNbSpPfA1P/5c/hWHLuvPSKwEv8oldrY4PjqqyStXk3yL7+IAyERERHgGRgI9ejRo9iAuLx1XAAWL17M3r17+eGHH5g7dy7VqlXLNwN0//59XnrppSLt5ebmkpv7X7yNruqtUqlELpfr/y8r87q+yrnzFwhu0QxrS3Ms5FIs5FIszWSP/0qxlMuKnYXZv38/XbsGGBxDoVQqkUoM918nV5K8IXKG2npWqd/eg3tXEnh4J5V9J2vwcpX6yOOvUufRXyiVhW8tfZqMDhjNn3f+5FrSNXaF7aKbj+l2YdR0saJfQw92XIrhrygpb5jgNS7r+6UofbvXBpO0bh2ZJ06Scf06Fnky4z6po035IKDRaPS5dfKi+5GlkykKQ+QMtfW8UNn6+zT8MWUbZbVVGn1jdUx5fxSHRqNBEASUSmWBtA6Gfn48U8HSEokk39KYQqHA2tqa33//PV8eg3fffZfQ0FCOHj2KSqWibt26HDlyRB8sferUqSLzNMycObPQKPgNGzbky3oqIvIkqmwJj/61QVBJcPeK5hXVO6glcg7WnU+2RfklAzOUQzmHOJRzCGepM+/YvYNcYrrfQYk5MCdUhlqQMKGuGn/Hyvux4vHbeuyuXCG1eXMeDSx6669cLsfd3Z3q1asXuYVZRESkYlEoFERHRxMbG4tKpcr3XFZWFkOHDn2+g6UNqeMil8v55ptv6NixIxqNhqlTpxabrGratGn5EnSlpaVRvXp1unXrhpWV1eNZmK4m2RVTFlul0TdWx1B5Q+TK2t9nhTDfeA6uvcmjB9W5X3cwXkmb6cRxhJ4rK9QvpVJJ7r5cQoVQknKTyKqVxWv+r5WsaAThZtf57cx9jqY48u5rLcu0nFqe90e2pycPho/A8dIlGn29ENnjHaRP6uTk5BAdHY2trW2hu8YEQSA9PR07O7tilxoNkTPU1vNCZevv0/DHlG2U1VZp9I3VMeX9URw5OTlYWVnRrl27QneNGcIzPRDSUVIdl759+9K3b1+DbFlYWBRav8XMzEz/gZr3/7JSVlul0TdWx1B5Q+RMee0qIwEtPbl/I4Vbp2M59GAIr1nsxPz6H9DmXfBsVKG+WUgsGNtwLHPPzuWnaz8xoM4AbM1tTWZ/Usea/H4ummsx6ey5EU+/RmXP4Fwe94e8WTMsGzQg58oVMrZvx/VxYrsnddRqNRKJBKlUWuj2X900vk6mKAyRM9TW80Jl6+/T8MeUbZTVVmn0jdUx5f1RHFKpFIlEUui9buhnxzM9EDKmjktZMXWMUHnFQJhSR4wRKh3Br/jx8E4y6Um5/GP3Gf2tpyHsm4F66DaDEmSWB7rr3tu7NxtubuBe+j1WXV7FpKBJJmvD3kJK52oadkXL+GrXDdrXcsbGonQfMeV9fzgMG0rOx9NIWr8B+xEjkJiZiTFCT5HK1l8xRsj0OmKMUDnxZIwQwEsvvUTTpk3zpX0PDAykX79+BmfbLIxly5axbNky1Go1t2/fFmOERIwiN1lK/GlrECS8ZPcrzWz+4HSN94h1KFvRT1NwXXGdDVkbkCHjHbt3cJGVrhhlYSg1MDdURmKuhC7VNPTxrvgvuUJRqagxfwHytDRiBg8mvUnjAiJijJCISOXHFDFClX4glJGRwd27dwFtIbhFixbRsWNHnJ2d8fb2ZvPmzQwfPpwVK1YQHBzMypUrWbVqFdeuXdOnMC8LusyUCQkJYoxQGeRelBihvFw5Es3JbZFIEOjt9AXVqyajGnsczKyeui95r79cLmfi4Ymcij1FG882LO2w1KRtSKo34p0tVzGTSdj9dmt8XIz/AfE07o+kVatIWvodFnXr4rV5EyqVqtAYIV9f3+cuRigyMpKaNWty/vz5AmUdnobtJ/s7evRoUlJS2L59u0l9MZRnOUZo5MiR1K1bl2nTppWrLzNnzmT79u2EhoaaLEbopZde4qOPPqJLly5lihGKjIykevXqhcYIubq6ljgQqvjF2RI4d+6cvhIuaAvYNW7cmM8++wzQ1nFZvHgxs2bNolGjRoSEhOSr42IqCosRKutRVlul0TdWx1B5Q+RMee2ehaN+ey+svRQISNiXOoW0xFzMTn9fYf7orr+5uTmftPwEuVTOvw//5UTsCZO28b/6HrSt7YpSLfDVnttl9re89F2GDEFiYUHujRuorlwpVCdvjNCTh+5DuzgZQ+UMtWXIIZPJij1ef/11fSxGWdsq6ijJ9pP9lUgkJum77oiKisrXZxcXFzp06MCxY8cKvUZyuRwnJyfkcnm+a3T06FE6d+6Mq6srtra2+Pv7M3r0aDQaTb6+LFq0iICAAKysrPDx8WHevHn5/Dl27BgtWrTA3d2d2rVrs3LlynzP37hxg1dffZUaNWogk8lYunSpQdfvypUr7Nq1i3feeaeAzKZNmzAzM2PChAlGv99kMhk7d+7Md+7DDz/kzz//NPh1MuQ9PWPGDD755BM0Gk2ZXv+8MUKFfQ6URKWPEerQoUOhSRHzMmHCBCZMmFCufogxQmWTe5FihHSoVCqcAnOxljqREAW7Uz7i5ZCZSOoN1BbYfYo8ef29rL0Y5j+MdTfWMe/MPJpWaYqFrOAmgdK0oVKpmN7Dn95hiRy6Gce+qw/p6G9c+oCncn/Y2mLXuzdp27aRsHYtrvPnF9B9FmOE8uZN27JlC59//jk3btzQn7OysiI5ORmgyL6VFoVCobdXnO0n+ysIgknjc3R29u3bR7169YiLi2P69On07NmTy5cvF3qNzpw5g62tLRKJBCsrK65cuUKPHj14++23WbJkCVZWVty5c4dt27ahUqn0A753332X/fv3s2DBAho0aEBqaioJCQl6HyIiIujZsydjxoxh+fLlXLp0iUmTJuHi4qJPEpyRkYGfnx+vvPIKkydPNvg9tWzZMgYOHIiNjU0B+dWrVzNlyhRWrFjB119/nS+0w5D325Ovn64NU8YI9ejRgzfffJODBw/y8ssvizFClQ0xRkjEVKhzJDw6bo1GIaWW5TEaVj/ImZofVFjgtI5cIZclaUtIE9LobNmZjpYdTWr/z0gph2KkuFoKTAtSI6+E88/msY/w/fZbBImEiKlTUOUpxlxYjJAgCKiVFRP3JDOTGr10sGHDBqZNm8a9e/fynY+KiiIoKIhffvmFlStXcv78eWrUqMGiRYto0aKFXm7nzp3MnTuX8PBw3NzceOutt5g06b8A+4YNGzJixAjCw8P5+++/6dWrF9OmTSMoKIiQkBAaNGiAWq3mvffeIyQkhLi4OLy8vHjjjTcYl2e33oQJE0hNTaVhw4b89NNP5Obm8vLLL7NgwQL9tf/zzz+ZP38+ERERWFlZ0bBhQ9avX4+NjU2Bfuv6p/MBtOWW6tWrx6JFixg9enSJ1+iHH35gxYoVXLp0qcjre+vWLdq0acOJEyeonSc5Z14+//xz9uzZw+nTp/Xn3n//fa5du1ZoMdGGDRsyfvx4xo8fX2S7oB0A1KhRgx9//JHu3bsX6H/Lli25ceMGAwcO5I033uC11/Kny/jtt99YtmwZ4eHhODk50adPHxYuXEjDhg2Jjo7Wy1WvXp3Lly8zb948/vnnH44dO8bBgwcZNmwYt27dwsHBQS/70UcfcfXqVf755x8ATp8+zRdffMHFixdxdnamd+/efPbZZ/les4kTJ6JWq1mxYkWx/S2KFz6PUHkyceJEJk6cqI8REvMIiTFCxqLr8//6dCGhYRZ/f3eZuzltqRobRq//SRHqFJ0xvbx8efL6W9+zZtrxafyr/Jf3u72Pp62nydpom6Oi+5J/ic9QEGNfl7HtDJ8Fe5r3x4NTp8g+eZJGDx9yztm52DxCylw1P007ZrQ/pmDMt20xszCuaLGlpSUSiaTAl4CtrTZtwldffcWCBQuoXbs2n376KW+99Ra3b99GLpdz/vx5Ro8ezeeff86gQYM4ceIEkyZNwtPTk1GjRgHa5a/vvvuOTz/9lJkzZwLoZ85tbGywt7dHqVTi5+fHpEmTcHV15cSJE4wbNw43NzdGjBihX9YICQnB1taWQ4cOERkZyRtvvIGnpyezZ88mJiaGMWPGMH/+fPr37096ejr//vsvdnZ2+r4U1j+dDwBqtVrvX97robtGQL44FR8fHx49ekRoaCjt2rUr9PoeOXKEGjVqcPToUQYNGoQgCHTu3Jn58+fj/HhQffHiRbp3746dnZ0+ZqZ379789ttvWFlZFXh/SqVSLC0ti/3iFgSBEydOkJqaSrt27QrI/v777/Ts2ZPq1aszYsQINm7cmK9u1w8//MCUKVP46quv6NGjB6mpqZw4cQJ7e3vOnj2Lu7s7P//8M//73/+QyWTY29vrB6R2dnb07dsXR0dH9u3bxxtvvKG/vn/++SczZ87E3t6ey5cvM3DgQL744gvWrFlDfHw877zzDtOnT2f16tV6X1q1asWCBQvEPELPAoXFHZja7tPSN1bHUHlD5Ex57Z4VzMzM8K7rSttBdQjZdJuT6cNx3fEj1ad2feqB009e/141e7E9bDtnYs/wbei3LO642GRtOJuZMa1nXT7YcollR8Lp19iL6s7Gzao+jfvDddRIok+eJGPHn0hq19brFJZHSCqtuAn0vH4Yo5P375PnP/zwQ/r06QPArFmzqFevHuHh4QQEBLB48WI6d+6sj8cMCAjg5s2bfPPNN7z++ut6W506dWLKlCn6x5GRkfn8tbCwYNasWfrna9asycmTJ9mxYwcjR47Ux3iYm5uzZs0arK2tadCgAbNmzWLKlCnMnj2bR48eoVKpeOWVV/Txn0FBQQb1WyqVkpmZyfTp05HJZHTo0CHf9cj7f95cNoMHD2b//v107NgRd3d3WrZsSefOnRkxYoR+4BEREcG9e/fYunUrv/zyC2q1mvfff59BgwZx6NAhAGJjY3F3d88XM+Ph4YFKpSIpKQkPD48C/huSe0cXB5XXtu65devW8d133yGVShkyZAiTJ08mPDycWrVqAdoB8MSJE3n33Xf17ehKT+lSzzg7O+Pp+d8Po7z+m5mZMXjwYDZt2sSbb74JwIEDB0hOTmbw4MFIpVK++eYbXnnlFd577z2kUin+/v4sXbqU9u3bs2LFCv2gpVq1aty/fx9BEAosbRnCkzFCeXluYoRERJ4X6revRlxEMjdPx7P3/nAG7f4e+75TSlYsRyQSCdNaTGPgXwM5GHWQI9FH6FC9g8nsD2hcjc1nozkdkcT0HVdZN7p5pcgknBebtm0x9/VFERmJw/nzkKdcz5PIzaW8taQ9oP3CSU9Pw87OvsQvrZLkDJGRm5t+bbFhw4b6/3VfyHFxcQQEBHDjxg369euXT75169YsXrwYtVqt/9Jq1qxZie2sWLGCn376iXv37pGdnY1CodAvWekICgrKF34QHBxMRkYG0dHRBAUF0blzZxo0aED37t3p1q0bAwcOxMnJqdh2W7VqhVQqJSsrCw8PD9auXVug3aKQyWSsWbOG2bNnc+jQIU6dOsWcOXOYP38+Z86cwcPDA41GQ25uLr/88gt16tQB4Oeff6Zp06bcunULf39/oPCkv4WdN4bs7GwsLCwK2Ni3bx+ZmZn6Gp2urq5069aN1atX89VXXxEXF8fDhw9p3759qdsGGDZsGMHBwTx8+BBPT0/Wr19Pz5499a/JhQsXuHv3Llu3btXr6OKFIiIiqFu3LqCNWdNdR91s4tOmEq7ai4g8n0gkEtr/XyBV3dTkCnbs2ueCMvpqRbtFLadajKg3AoAvT31JuiLdZLYlEglzX26AuVxKyO14doQ+KFnpKSORSnEaMRwAx3+PIxQTsCmRSDCzkOkPubks3+OiDkPkSpIpjwFk3l/MOvu6gNUnM/Trzj1JYTE6edmyZQvvv/8+r7/+Ovv27SM0NJRRo0ahUCgM8lEikSCTydi/fz+7d+8mMDCQ7777Dn9/fyIiIorV3bx5M5cuXSI+Pp4HDx7wf//3fwa1mZdq1aoxfPhwli1bxvXr18nJydHHs3h4eCCXy/WDIED/BR8VFQWAu7t7oUl/5XJ5seWeSsLFxYWsrKwC13H16tUkJSVhbW2NXC5HLpeza9cu1q1bh1qtxsrKNLPQLVq0oGbNmmzatIns7Gy2b9+e7/pqNBpGjRrFhQsXCA0NJTQ0lEuXLnHnzh1q1qypl9P5aiq/SoM4I2Qg4q6xssm9iLvGiupzlwkt2T77KIlKXw4tP0jHz2sikZXvrVjS9X8z8E0ORB4gOiOaRWcX8UmLT0zWRnVHCya2r8G3B+8y66/rtPJzwtmm+ASFT/v+sOnVC+m3izFPTCR50yachw59ZneN5SXvDq6izj8poztXt25djh07lk/3+PHj1KlTB4lEkm/AlFfmSTshISG0atUqX3B0WFhYPl1BELh06RKZmZn6L8QTJ05ga2uLp6en3mZwcDDBwcF8+umn+Pn58ccff/D+++8X2e9q1arh5+dX6DV4UrawvjyJg4MDHh4eZGRkoNFoCA4ORqVS5ftyv3nzJqANMtZoNLRs2ZK///4732u8d+9emjVrhkwmK/K9VdJ7SjezdfXqVX2+psTERP788082bNhAvXr18vWxffv2/PPPP/Tu3RtfX1+OHj1Kz549C23HzEybaf3Ja/Okb0OGDGH9+vV4enoilUrp0aOH/rnGjRtz8+ZNatasWeggXid39epVGjZsWKGZpcWBUBHk3TUG2ulG3bTt/v37TdZOWW2VRt9YHUPlDZEz5bV7Viisz84Ns3h43py7yQ3QfP0DigY1C9F8Or7o6Cp0ZTWr2Xp3Kw6xDvjJS7fFv7A2vDTgYS0jJkvJpJ8O8X+1DfvAe5r3h1ObNlTZvZvE+Qu4HBePIrAu7u7uZGRkFDt7kZ5u2AyaIXKG2jKUnJwcBEEoEDSakZEBQGZmpv45XdtZWVmkpaUxduxYOnXqxIwZMxgwYABnz55l2bJlfP3113odjUZDTk5OPvtP2vby8uKXX35h+/bt+Pj4sHnzZs6ePYuPj4++TaVSiUKhYOTIkXz44YdER0czc+ZMxowZQ0ZGBufOnePo0aN06tQJV1dXzp8/T3x8PN7e3oUGxBbWv5KuUd5rALBmzRquXLlC79698fPzIycnh02bNnHt2jXmzp1LWloaLVq0ICgoiFGjRjF37lw0Gg1TpkzRxxWlpaUxbNgwli1bxjvvvMOIESM4e/Ysq1ev5qefftL7plAouHXrFgC5ubmEh4dz/PhxbGxsqFGjRqF+u7q6EhQUxIEDB/QyP/30E87OznTv3r3AEmu3bt1YuXIl7dq1Y+rUqXzwwQdUqVKFLl26kJGRwenTp/UB1d7e3uzZs4eGDRtiYWGBo6Oj/h7Ie4369u3LrFmzmD17Nn379kWhUOjlJkyYQLdu3Rg7diwjR47E2tqaW7duceTIERYsWKC3oXtdS/veVygUZGdnExISUuiuMYMQRIolNTVVAISEhAQhMzNT2LFjh5CZmSkoFIoyHWW1VRp9Y3UMlTdEzpTX7lk5SurzxbW/C9+PPSgsG7tfiDhxqUJ90R0zjs0Q6q+tL/Tc1lNIy0ozaRtnwuIE34//Fnw++ls4eO2hSfw1pX5GRoZw6rUhwnX/AOFm02ZCwpUrwrVr14TMzExBrVYXOFQqlZCcnCyoVKpCnzdGzlBbxh4///yz4ODgUOB8WFiYAAjnz5/Xn0tMTBQA4eDBg/pzW7ZsEQIDAwUzMzPB29tbWLBgQT47Pj4+wqJFi4q1nZWVJYwcOVJwcHAQHB0dhXHjxglTp04V6tevr+/viBEjhL59+wozZswQXFxcBFtbW+GNN94QsrKyBLVaLVy9elXo1q2bUKVKFcHCwkKoU6eOsHTp0iL7XVj/SrpGT17/c+fOCcOGDRP8/PwECwsLwcXFRWjXrp2wY8eOfPrR0dHCgAEDBFtbW8HNzU0YOXKkEB8fn0/m0KFDQuPGjQVzc3PB19dXWLZsWaH+Pnm0b9++2PfL8uXLhZYtW+rPN2jQQBg/fnyhOr///rsgl8uFhw8fCiqVSli0aJHg7+8vmJmZCR4eHsKkSZP0sjt27BBq1aolyOVywcfHR1Cr1cKMGTPyvWa6o3nz5gIgHDhwoICPBw8eFLp06SLY2toKNjY2QsOGDYXZs2frZaKiogQzMzPh6tWrpX7vZ2ZmCteuXRPS0gp+XiUkJAiAkJqaWuz3vDgQKgHdQCg1NVVQKBTCjh07BIVCUWa7ZbVVGn1jdQyVN0TOlNfuWaGkPmvUauHAp0uF78ceFH6a+LeQGp9ZYb7oSM1NFTpu7ijUX1tf+PbctyZvY+bOq4LPR38LrecdFDJzlWX215T6CoVC+HPrViF86DDhun+AcGPQIOHalStCdnZ2ofJqtVpITk4W1Gp1sXYNkTPU1vNCZevv0/DHlG3obGVmZgre3t7CiRMnyt0XY3UMkf/www+FMWPGlOm6ZGdnC9evXy/0Ps37/V0cYrC0iEgFIZFKaT+pB1XNwshRWbH72xCUCnWF+mRvbs/0ltMBWHttLTcSb5SgYRwfdvOnmqMV95OzWbDnlkltmwJBLsdj8beY+/igjotHnZRUbPC0iEhFYmlpyS+//EJCQkJFu1Iqqlatmi+1QkUhDoRERCoQuVst/tdXjZU0lYREc46suVhiSZnyprN3Z7r6dEUtqJlxfAZKtekC3G0s5Hz1sjbIc+2JSE6EVb4PcJmjI9VX/ojU3h5BqUQZG1vhr4mISFG0b99enwvqWWPKlCn6vEUViRgsbSDirrGyyYm7xorGst0oul0ey847/8fti2k474ukYSevCvFFx9QmUzkbe5Zbybf4/uL3TAqaVKKOoW208nPkteZebDp7nym/X+Kvia2ws8z/UVTR94eZpydVPpnGw4wMNBkZKGNjkT/xgS08A7vGKiuVrb9Pwx9TtlFWW6XRN1bHlPdHcVR4rbH79+8jkUioVq1aaU1UWsRaYyJPE9uch7icP8HxtNGABtcWOVi6VOwy2TXFNTZmbUSChDdt38Rb7m0y2zlqWHBJRmKuhJeqaBhaq+K/DJ9ELpfj6eyMr40NllIpKkdH1IWUcxAREak4cnNzuX//fplqjRk9ENJoNMyePZtvvvlGv0XRzs6OyZMnM336dKNTwFd2dLXGEhISxFpjZZB7kWuNGdpnyZlVHPk9hls5HbG0ljDgo2bYOVuWqFcevuiYcWIG/0T+Q3Xb6mzquQkredFJz4xt42xkMsNWn0UQYMWwRnQOqFpmf8ui/6SOWq0mPDwcVysr7DIzAQlm3tWRPh4MCYKgrx1VXLJDQ+QMtfW8UNn6+zT8MWUbZbVVGn1jdUx5fxRHYmIi8fHx1KhRo8CMUFpaGq6urqYvujp9+nR+/vln5s2bR+vWrREEgePHjzNz5kxycnKYM2eO0R15FhBrjYm1xkqLwX0OHkeH2wNJOu9NfFZNDvx0g5enNEVubnz9nTL78phPgj/hXNw5ojOiWXppKZ+2/NRkbbSqXZUxbfxYdSyCT/+8QYsaVQokWqzI+8PMzAwnJycSU1IQLCwwz85GERWFWfXqSC0s0Gg0KBQKcnNzSyyxUZKcobaeFypbf5+GP6Zso6y2SqNvrI4p74/CEASBrKwsEhIScHJyKlBwFcqx1ti6dev46aef6Nu3r/5cUFAQ1apVY8KECc/tQEhEpNyRSpG//B09HvRiy4PPiY+Gw+tv0mVUYIX9arY3t+fL1l/y1v632HxrMx2rd6R1tdYmsz+5mz+Hb8VzNy6DGTuu8v3QxpVihkCHu7s7AEnJyahSUxEUCohPQF7FFaRSsrOzsbKyKvEXb0lyhsg8T1S2/j4Nf0zZRlltlUbfWB1D5cvaF0dHR/19WlqMHgglJSUREBBQ4HxAQABJSUllckZE5IXHoRp2fafTfePX7Eyeye3Tj6jqbU9Q5+oV5lKwZzBDA4ay4eYGPjv+GX/0+wMHCweT2LY0k7FoUBADlp/gnysxdLxQlYFNTRsoXhZ0lcKrVq1KTmIiDyZ/iPL+fcxr1aLqV3M4duYM7dq1K3HpOCQkpFg5Q2SeJypbf5+GP6Zso6y2SqNvrI6h8mXpi5mZWakq1j+J0QOhoKAgvv/+e5YuXZrv/Pfff09QUFCZHRIReeFpMBCvW//Q+sxa/k1/g+Pb7uDqZUs1/+IrbZcn7zV9jxMPTxCZFsnnJz7n2w7fmuyXc0MvR97vUpuv993msz+v0tTHCS+H4muRPW1kMhk2VaviO2c2kYNfQ3nsGCkzPkPVvRuWlpbFfoDLZDJUKlWxcobIPE9Utv4+DX9M2UZZbZVG31gdQ+Urw3vB6IHQggUL6NWrFwcOHCA4OBiJRMKJEyeIjo5m165d5eFjpUDcPl82OXH7vJF0X0CDe+2IU9bkdk4H9qy6wstTGmNbyuDpsl5/OXLmtJrDyH0jORh1kI03NvJq7VdN1saY1j4cuxPP6Yhk3t5wgd9GNy6Tv+V1f0g8PHBfuoSHb4wh88gRXNUqlN27l9nui3Z/VLb+Pg1/TNnGi/b9UVrKdfv8w4cPWbZsGTdv3kQQBAIDA5kwYQKenp5GO1pZEbfPi1Q0Luk3aXHnG7YnziFBVRMzezVVW2YhMV3stNEczznO7pzdyJEzzm4c7rKyrc3nJSUX5l+WkaWS0MlTQz+fyrelXoftpUt4btgIwIORI8gMDKxgj0RERJ6k3LbPv2iI2+fF7fOlxRR9lh6dR+bRdfye+A05Gjtqt6hKh/+rY/SylKmuvyAIvHv0Xf59+C81HGrwa/df9VvqTdHG/utxTNgYCsD4umrefrVLpb0/Hs2fT/pv65E6OuL9xzbkVaqU2u6Ldn9Utv4+DX9M2caL9v1RWky6ff7y5cvUr18fqVTK5cuXi5Vt2LChcZ4+I4jb58Xt86WlTH3uOA37qBN0Vy1kZ/JM7pyJw93PgYYdSxc8bYrrP7vNbAb+NZDw1HAWhy7ms+DPTNZGz6BqDAtPYv3pKNbflTJSIeBuXTnvj6rvv0/8oUNYPowh/tMZVP9pFZJitv+K90dBKlt/n4Y/4veH6XwxxKYhGLRpv1GjRvqibo0aNaJx48Y0atSowNG4cePSeywiIlIQmRxeWYWXQzSt7NYB8O/vd3lwO7nCXHKxcuGrNl8hQcLvt39n/739JrX/aa9AalWxIU0pYeq2K2g0lXPSWmJuTuxrQ5BYWpJ54gRJ636paJdERERKgUEDoYiICKo8nvaNiIggPDyciIiIAkd4eHi5Oisi8kLi4AX9lhFkvZPalkcRNAJ7V10lPSmnwlwK9gxmdP3RAHx+/HOi06NNZtvKXMbiQQ0xkwqE3Enkh6NhJrNtahRuVXGd8iEA8YsWkXPjRgV7JCIiYiwGDYR8fHz0MQn37t2jWrVq+Pj45DuqVavGvXv3ytVZEZEXlrq9kbR4k44Oy3E1v0d2upI9P15Bpay4emSTGk8iqEoQ6cp0Jh+ZTK4612S2/d3tGOinDZb+Zt8tToYlmsy2qbF/9VVsO3VCUCp5MPlDNNnZFe2SiIiIERidm7tjx46FJk5MTU2lY8eOJnFKRESkELrPwaxaPXrYz8FClkXcvXSObrhFRe13MJOa8XX7r3GycOJG0g0Wnl9oUvstqwq83NgTjQDvbLpIXHrFzYAVh0QiwWP2l8iquKIID+fR/PkV7ZKIiIgRGD0QEgSh0B0riYmJ2NjYmMQpERGRQpBbwKvrsLdV0t1+PhIEbp6M5erRBxXmkruNO/PazkOChD/u/kGoItSk9mf2rou/mx3x6bm8uzEUdSWNF5I7O+M5bx4AKZs2k37oUAV7JCIiYigGJ1R8+eWXAe2vn1GjRmFhYaF/Tq1Wc/nyZVq1amV6DysJYkLFsslVtgRqT4Ny6bOtJ5K+y6m+ZSjBdms5kT6aY1vu4OBmiUetostelOf1b161OWPqj2HV1VX8mfUnryS8gr+rf5ls6vyUSzQsHdyQl1ec4mR4Iov23eS9zrUM1n+a94dFixY4jhhByi+/8HD6p3hv24q8ShXx/iiEytZfMaGi6XWey4SKo0drAyPXrVvHoEGDsLKy0j9nbm6Or68vb775Jq6urqVwt/IhJlQUqczUffg7tWP/Yl/ah9zNbo3UXEPVVlnIrSpmxkQjaFiXuY4wVRhVpFUYZzcOC4lFyYoGcj5Bwi93ZEgQeDNAQz2nyjkzJFGpqL5sGZYPY8isXZsHr4+GSlBdXUTkRaTcEip+8cUXfPjhhy/MMpiYUFFMqFhayrXPGhWyDQNRR55hW+q3JOZ4UsXblj7vBSE3K/jF+zSu/6P0Rwz6exDpQjpdqndhfpv5pa5HVpi/X/x9g99OR2NnKWf7uJb4uBT9w6Qi7w9FeDjRg19DyMnB5cMPsR06RLw/nqCy9VdMqGh6necuoWJePv/88zI59qwiJlQUEyqWlvLpsxm8ugbpirb0VH/BFtUS4qPgxNZwOg0PKHIAUp7X383OjSE2Q1idtZoD0Qf47fZvvF7/9TLZzOvvZ33qcyM2g/P3kpm48RLbJ7bC2rz4j7CKuD/M/P1x+/gjYmd+QdKSJVi/1MJguy/a/VHZ+ismVDS9znOTUPFJtm7dyqBBg2jZsiVNmjTJd4iIiDwlbKvC4F+xN0+mu908JBKBmydiKjR42lvuzZSmUwBYcmEJJx6eMJltc7mU5cOaUMXOgluP0vlo25UK2zFXEo6DB2PbuTOCUkns1I+QKBQV7ZKIiEgRGD0QWrp0KaNHj6Zq1apcvHiRFi1a4OLiQnh4OD169CgPH0VERIqiegvouZDqFpdoaavNbPzvljs8vJtSYS4NrDWQAbUGoBE0TA2Zyv30+yaz7WZvyQ/DmiCXSvjr0kN+/jfCZLZNSd4t9cqICKr8809FuyQiIlIERg+Eli9fzsqVK/n+++8xNzdn6tSp7N+/n3feeYfU1NTy8FFERKQ4mo2GJiNpbL2DWtan0WgE9qy8Skay6RIcGoNEImF6y+nUd6lPam4q7x1+j2yV6ZIMNvN15rM+2mrvc3ff5ERYgslsmxK5k5N+S73jqdMk/fRTBXskIiJSGP/P3n3HVV39Dxx/fe5gb5Al4F4o7oVby9nXnVtERXOVK7XMhpVlmamVuBXcmZZWlnvlzAXuvXCACCjIhns/vz9IfpqpF/jAvcB5Ph485F7O5/15nwtH3nzu+ZyT40IoIiIi+zZ5S0tLHj9+DEBAQABr165VNjtBEAzT4Rskr7q0spmNs0UUKQnpbF10Bl2G3ijpmKvNmd1yNk4WTlx6eImph6Yq+jZWQMNSdKtdEp1eZtTqk9yOS1YstpJsGjfGafQ7AMR99z0PgoONnJEgCP+W40LI3d2d2Nis5e5LlSrFkSNHgKw9yEz1/XpBKPI05tBrJVpbe9rbTMVck8b9Gwns+9F4K0+7W7szs/lM1JKaP2/8Sci5EMViS5LEl139qO5lz8PkDIYsP05iWqZi8ZXkNHQoD9q1BSDmh7lEf/ed+L9SEExIjguhVq1a8fvvvwMQFBTEuHHjaN26Nb169aJr166KJygIgoHsPKHXSuzN4mhjOx1JkrlwMJJz++8ZLaV67vV4r/57AMw5MYd9t/cpFttCq2ZhQJ3sydPj14Wb7E71D1u2xPnd8QDEzl/Ag1mzRDEkCCYix4XQokWLmDJlCgDDhw8nNDSUKlWq8OmnnzJ//nzFExQEIQd8GsL/ZuNjfoqG1isB2L/uMlHXjTd/r3el3vSo2AMZmff2v8fVh1cVi+1hb8nCgDqYqVVsP3+fOTsvKxZbaY4DB+L2wWQAYhcvIfqrr0UxJAgmIMeFkEqlyt5qAqBnz558//33jB49mgcPHiianCAIuVA7ABqOopb1RspZHkGvk9mx9AK61NwtbphXkiQxuf5k6rrVJSkjiXd2v8Oj1EeKxa/t48iX3fwA+H73VTafNt4VsFdxGjAAt48/AiBu+XLuT/tCFEOCYGQ5XlDxv0RFRfHFF1+wZMkSUlKUuzvElIi9xvLWztT2FioIRu1zy49QR1+g1dXveKjzIS7Bk8zjljxulYytQ/5sFfOq/n7d+GsCtgVwJ/EO4/eOZ27LuWhVL15p+WWx/q1zdTfO3y3FskO3mLD+FG6BtXN0fG7OmdvxYdujB3pJ4sFnn/Nw9Wp06ek4vDcpx/kWZqb2/4HYa0z5Y4rkXmOPHj1i1KhRbN++Ha1Wy/vvv8/bb7/N1KlTmTlzJlWrVmX8+PH06dMnT4mbCrHXmFDYaTKTaHb5M/RJMusfziBNZ4vWVodL/WTUZsbJKUoXxaLHi0gnnfpm9elo2THX23D8m06GRRdUXIxXYa+VGe+nw0G57c4UZ3f8OG4bfkaSZeLr1uV+925iXzJBUJDie42NHDmS33//nV69erF161YuXLhA27ZtSU1N5ZNPPqF58+aKJW9KxF5jYq+x3DKJPsdeRRPaloeJtvzycDppOhucS1rzxtt+WNgom5Oh/d13Zx/j/xqPjMy7td+lX+V+uY71b49TM+i56ChXHyThZS2z6Z3m2FtbKJp/Ttu/rN3jzX9wf8oU0OtJqF2LagsWYPbUhtZFlUmMjQLOR+w1plwuhlJ8r7E//viDkJAQXn/9dUaOHEn58uWpWLEic+bMUSJfkyf2GhN7jeWWUfvsXgV6rsBxVXe6OU5m0+Nvib0Lf8w9Q+extbC0Vf7S0Kv6+3qZ13k3+V1mHp/JrJOzKONQhube//2HVE5fOyetlpBB9ek09wB3kjKY/OtFFgbURaUy/KpTQY4Pp65d0JibcXfiJOxOhhE7+QO8Zn2LytyEL2UpyNT+PxB7jSl/TJHaa+zevXv4+mat5lq2bFksLCwYMmRI7rITBKHglG2Brt03OGnu0NV2PFZWemLvJvHrnDBSHhtnD6wBvgPoXqE7MjIT/5rIpbhLisX2drJift+aqCWZHReimbFNudj5wa5DB9y/nYlerSZp1y5uDxmK7p+FagVByH8GF0J6vf6Z6kqtVmNtbZ0vSQmCoCy5VgBXXN/AUXOXLjbjsbKRiL2bxKbZYSQnFHwx9GQbjgYeDUjJTGHUrlE8SFburtM6pRzpWy5rVe0F+67x07HbisXODzavvcbdoMFI1tYkHzvGrQGBZMaY5tYhglDUGFwIybLMwIED6datG926dSM1NZXhw4dnP37yIQiCaTrv2QN9pf/hqLpFV4cPsLZTE3cv68qQMYohrUrLrBazKGNfhvvJ93l799skZyi3VUbdEjKjWpQF4IONZzhwxbQLi5Ry5Si5bClqJyfSLlzgZt9+pN827QJOEIoCgwuhwMBAXF1dsbe3x97env79++Pp6Zn9+MmHIAgmSlKh6zwPPGvhkHmeLq5fYm2nJe6e8a4M2ZnZEdwqGEdzR87Hnue9v95Dp9cpFn90y3J0rulJpl5mxKoTXIoy7becLHx9Kb1mNdqSJcmIiOBm376kXjLtt/YEobAzeLJ0SIhy+wQJgmAkWivo8yMseR2H+CN0KRXMpttv8zAyiU2zTtJ5XC2s7Qt2oq63nTfft/qeIduHsPfOXqYfnc6k2pMUia1SScx4szqRj1I5ejOOQSFH2TiqMW52ht1JZgxmpUtTas0abg8dStrly9zqH4D3/HlY1a1r7NQEoUgSi1YIQnFj6w791oO5PQ4PttClyjpsHMx5GJXMr7PDSIpPK/CUarrWZHrT6UhIrLu0jpUXVyoW21yjZtGAOpQtYc29+FQGhx4jyUQ3aH1C6+ZKqVUrsaxTB/3jx0QEDeHx7t3GTksQiiRRCAlCceRaBXqvApUWhxsr6FJ/LzaOWcXQplnGKYZal2rNu3XfBWBO2BzOpp9VLLaDlRmhA+vjbG3GuXsJvL3mJJk6vWLx84Pazg6fpUuwadkSOS2NO++M5tHPvxg7LUEockQhJAjFVZlm0DkYAPvTM+jy2mVsnMx5dP+fYuhRwRdDA3wH0LdyXwA2JG8gLDpMsdg+zlYsCayLhVbFnksP+OjXsya/z5fKwgKvH77HvksX0OmInDKF2KVLjZ2WIBQpohAShOKsRi9o9SEA9gfH07XTo+xiaOOskyQ+LNhiSJIkJtWbRAuvFmSSybi/xnH90XXF4tfyceS73rVQSbD26G1+2H1Vsdj5RdJo8Jj+JU6DBwMQ/c1M7s/4xuSLOEEoLHJcCCUlJeVHHoIgGEvTCVB7AMh67HYOpmtvCVsnC+KjU9g0u+CLIbVKzReNvsBb7U1CegLDdw4nOjlasfhtq7rzaedqAMzacdnk1xiCrALRbdJEXCdOACBu2TIiJ3+AnGnac50EoTDIcSHk5ubG4MGDOXDgQH7kIwhCQZMkeGM2VGwHmanY/dmHLgPtsXX+pxiadZLEh6kFmpKlxpL+1v0pZVuKyKRIRuwcweN05W59D2hYilEtywEweeMZ9lxUrtDKT85BQXh88QWo1cRv2sSdt99Bn5Ji7LQEoVDLcSG0du1a4uPjee2116hYsSJfffUV9+7dy4/cBEEoKGoNvLkMStaF1EfY/dGLLm95ZRVDD1LYOCuMx3EFWwxZq6yZ23IuLpYuXH54mbF7xpKuU26towltKtGtdkl0epmRq09y+k68YrHzk0P3bnj98D2SuTmJe/cSMWQouvjCkbsgmCKD1xF6omPHjnTs2JHY2FhWrFhBaGgoH330EW3btmXw4MF06tQJjSbHYU1eRkZGdr8yMjIUiZeXWLk5PqfHGNrekHZ57W9hZEp9NigXyQx6rkazvANS3DVs/+hNx2E/8/vCGyQ8SGHjrJN0fMcPG6f/XoNHyf4+ieFq7sr3zb9nyM4hHI06yuS/JvNl4y9RSS//G87QXKZ1qkJ0QioHrsYyZOVJRlYsHOPDomlTPBcuIPKd0aScOMHN/gF4LpiPxtXVoOONzZTGBhRMPvkxPorL74/cMjSmJCsw4+6HH35g4sSJpKen4+LiwvDhw3n//fexsrLKa2ijCQ4OJjg4GJ1Ox+XLl1mzZk2h7o8gGMoq7QFNL3+GRWY8MTaV2e85ifvH7NGlqFBb6inRIBmNZcFO1L2acZUVSSvQo8ffzJ8Olh2QJMN3lH+ZVB38cE7NnSQJJ3OZsdV02JspEjrfmd27h9eyEDSPH5Ph6MidIUFkuLgYOy1BMAnJycn07duX+Ph47OzsXtgu14VQVFQUK1asICQkhIiICLp27UpQUBD37t3jq6++wsPDg+3bt+e6A6YiISEBe3t7YmJisLS0ZMeOHbRu3fqZDWhzIyMjI0+xcnN8To8xtL0h7fLa38LIlPqc41yiTqNZ2QkpPRF9pTeIbzmfzXPPkRCTiq2zBf8b7Yftv64MKdnf/4q15eYWphyaAsCoGqMIqhqUo+NfJjYxjZ6LjxIRl0JFV2vWDqmPneXLjzOV8ZFx+w73hg0j4/Zt1E5OeMyfh4Wvb45iFDRTGhsFlU9+j4/8Pt6Yvz9yKyEhARcXl1cWQjl+D+uXX34hJCSEbdu24evry6hRo+jfvz8ODg7ZbWrWrEmtWrVylbip0mq12d+kpz9XMm5BHZ/TYwxtb0g7JV+7wsKU+mxwLt51oM9aWNUd1aU/cLT+iK7jv2bj7HASHqSw+fszdBlXCzsXy9yfI4f5dqrQiYSMBL4+9jXBp4JxsXLhzYpvGnz8y7g7agkdWIcuP+zncnQSI9acYkVQfSy06hzlmNd2uRrPZctQeu0aIoa+RdqFC9wbHIRXcDDWDRvkKI4xmNLYgILJR/z+UC4XQ2IaIseTpQcNGoSnpycHDx4kPDyct99++5kiCKBs2bJMmTIlp6EFQTAlZZpB96UgqeDkcmzCZtJ1fG3sS1jyODaVTbPCSIgp2DuW+vv2Z4jfEAA+P/I5u27tUiy2t6MVw6vosDHXcPRmHO+sDTP51aef0Li4UGrFcqzq10eflMTtoUNJKAJX5AWhIOS4EIqMjGThwoXUq1fvhW0sLS355JNP8pSYIAgmwLcTvDEr6/P9M7G5FEKX8bWxd7XkcVwqG2edLPBiaHSt0XSr0A29rGfSX5M4FnVMsdglrWFBv5qYaVTsOH+fDzaeKTQLF6ptbfFevAjb1q8jZ2Rwd+w4Hq77ydhpCYLJy3EhZGtrS3T082tuxMbGola/+jKyIAiFTN1B2atPs/U9bG7/StfxtXFwsyIxLo2N354k/kHBFUOSJPFRw49o5d2KdH067+x+h/Ox5xWL36CMEz/0yVp9+qfjd5i+5WKhKYZU5uaUnDMHhx5vgl5P1CefELNgQaHJXxCMIceF0IsGVFpaGmZmheRWC0EQcqbpBGgwIuvzjcOxvr+bLuNrZRVDD9PYNOskCQVYDGlUGr5u9jV13eqSlJHE8B3DuR6v3FYcbau681X36gAs+us68/ddUyx2fpPUatw/+wznYcMAeDDnO+5Pn46sLxxv8wlCQTN4svT3338PZP01tmTJEmxsbLK/ptPp+Ouvv6hcubLyGQqCYHySBG2/hJSHcPpHWD8Q6/4/02V8PX6dHcbDqGR+//40ttWVuaXdEBYaC35o9QODtw3mQtwFhu0Yxop2K/Cw8VAkfs+63sQnZ/DFnxeYsfUSDpZm9G3go0js/CZJEq7jxqJxcuT+9K94uGIluriHeH75BZL4g1UQnmFwITR79mwg64rQggULnnkbzMzMjNKlS7NgwQLlMxQEwTSoVNB5LqQlwKU/YU1vrAdupvO4WtnFUOrfVsS3SMHFs2DuBLIxs2FB6wUEbgnkZsJN3trxFsvbL8dWbatI/KHNyvIoJZ3gPdeYsukM9pZa3qiuTKFVEJwCA1E7OXFv8gckbN6MLj4er+/moBJroglCNoPfGrtx4wY3btygefPmnDp1KvvxjRs3uHTpEtu2baNBA9O/XVMQhDxQa+HNECjdFNIfw6puWKffosv42ji6W6FLU/H7d6d5dD+5wFJysnBicZvFuFu7czPhJsN3DFd0X7IJbSrRt4EPsgxj14Wx91Lh2JfsCfuOHfGeF4xkYUHS/v3cGjSIzIcPjZ2WIJiMHM8R2rNnD46OjvmRiyAIhYHWAnqvAY+akBwLK7tgpY/ijXf80NjoSI5PZ+OskwVaDLlbu7Oo9SKcLJy4EHeBsfvGki4rsy+ZJEl83rka/6vuQYZOZviqExy9EadI7IJi06wZPiHLUNnbk3rqNLf6B5ARFWXstATBJBj01tj48eP5/PPPsba2Zvz48S9tO2vWLEUSEwTBhFnYQf9fIKQ9xFyC5Z2wCvidEvVTSL3gysPIZDbOOkmXcbVwdLcukJTK2JdhwesLCNoWRNiDMBI1iXTQdVBkkTa1SmJWz5okp+vYfTGawaHHWDmorgJZFxyrWrUovWolEUOGkn7tGjf79MVn6RLMy5Y1dmqCYFQGXREKCwvL3rwsLCzshR/h4eH5masgCKbE2hkGbAKHUvDwBpq1PbBQJ/C/d/xw8rQmOT6dTbPCeBiVVGApVXGuQvDrwVioLbiSeYUph6aQqc9UJLaZRsW8frVpWNaJxLRMBq84QVTBXfRShHmFCpResxqz0qXJjIzkVt9+pJw+bey0BMGoDCqE9uzZk7169J49e174sXv37vzMVRAEU2PnCQN+BRt3pAcX8L/2LZZmaXQZVwvnktYkJ2QVQ3GRBVcM1XKtxaxms1CjZtftXUw9NBW9rMyt4xZaNUsC61HDy56HyRnMO68mIq5wVUPakiUptWY1FtWqoXv0iFsDB5F48KCx0xIEo8nxHCFBEIRnOJWBAb8iWzrhmHwd9U99sTTPpPO4WjiXtMkqhmaHEXev4Iqhhh4N6WXVC7Wk5tdrv/LV0a8UW1TQxlxD6KD6VHS1IT5DIjDkOJHxBbu6dl5pnJzwCQ3FupE/cnIyt4ePIOHPP42dliAYhUFzhLp162ZwwF9++SXXyQiCUEi5Viazz08Q2hFtxGFY1x/LPmvpPK4mv84JJ/ZOIptmn6TLuNo4eRbMnCFfM1+m1pjKR4c/Yu3FtVhqLBlbeyySlPe1jhytzQgZWIfO3+/lzqNU+i3+m3XD/Clha65A5gVDbWON14IF3HvvPR5v2crddyeQ+fAhTv36GTs1QShQBl0Rsre3N/hDEIRiyqMmR8q9i6y1gmu7YMNgLC0luoythYu3DSmPM9g0+ySxdxMLLKU3yrzBRw0/AmDZ2WUsPL1QsdiutuaM8tXhaW/B9ZgkApb+zcMkZe5UKygqMzNKzpyJQ5/eIMvc/3waD36YK7bkEIoVg64IhYSE5HcegiAUAXE2FdH1WIVmXR+4uBk2DsOi22I6j63Fr3PCiLmdyK9zwug8Nutts4LQs1JPUjJTmHl8JsHhwVhqLAmsGqhIbCdzWDGoLn2WHuNi1GMCQ46yakgD7CwKZkFJJUhqNe4ff4zGyZmY4GBigoPRPYzDbcoUJLF/pFAMiDlCgiAoSi7TDHqtBJUWzv4Mv43GwlJN57G1KOFj+8+VobACvTIUWDWQt2u+DcDM4zNZd3GdYrFLOVuxekgDHK20nL4Tz+CQYySnK3OnWkGRJIkS77yN20cfgiTxcM1a7k6YgD69cF3hEoTcMKgQql27Ng//WYm0Vq1a1K5d+4UfgiAIVGwL3ZeApILwVbBlEhZWGjqNqUkJH1tSEzPYNCuMmDsFVwy9Vf0tgqoFATDt72lsurpJsdgV3WxZGdQAWwsNx289ZMjy46Rm6BSLX1Cc+vWj5LczQavl8Zat3Bk+HF1iwU1yFwRjMOitsc6dO2NunjUJsEuXLvmZjyAIRUXVLpCZBhuHwbHFoDHHos00Oo2pye/fhxN96zG/zg6j87iauHgpszfYy0iSxJjaY0jVpbL6wmo+OfQJZiozOpTtoEj8aiXtWT64PgFL/ubQtViGrTzBogF1Ct1ld7sOHVDZ23PnndEkHTpMxMCBeC9aiMbJydipCUK+MKgQ+uSTT/7zc0EQhJeq0QsyU+D3MXB4LmgssHjtIzqNqclv32UVQ5tmZ80ZKuFdMMXQe/XeI12XzvrL6/ngwAdo1Vpal2qtSPzaPo4sG1iPwJCj7Lv8gFGrw/i+l58isQuSTePGlFoeyu2hb5F69iy3+vbDZ+kStCVLGjs1QVBcrv9YOX78OCtXrmTVqlWcOHFCyZwU17VrVxwdHXnzzTeNnYogFD91BkKHmVmf758J+2ZgbqWl05iauJa2Iy0pk1/nhPEgQrmNUl9GkiQ+bPghnct1RifrmLRvEntv71UsfoOyziwZUA8zjYqdF+7z7voz6ArhTViWfn6UWrMajYcH6TdvcrNvP9KuXDF2WoKguBwXQnfu3KFp06bUr1+fMWPGMHr0aOrVq0eTJk24fft2fuSYZ6NHj2bFihXGTkMQiq/6Q6HNF1mf7/kCDszJLobcyhR8MaSSVHza6FPal2lPppzJ+L3jOXTvkGLxm1RwYWH/OmjVElvO3Wf1VRU6feGrhszLlqX02jWYlStH5v373OwfQHJYmLHTEgRF5bgQGjx4MBkZGVy4cIG4uDji4uK4cOECsiwTFBSUHznmWcuWLbG1zf/L7oIgvESjt6FV1po+7PwEDs/D3FJDx9H/FEPJWcVQ9K2EAklHrVLzZZMvaV2qNRn6DN7d/y7XMq4pFr9lZVfm9q2NRiVxIkbFB5vOoS+ExZDW3Z1Sq1ZiWaMG+vh4IgYNJvGvv4ydliAoJseF0P79+5k/fz6VKlXKfq5SpUr88MMP7N+/P8cJ/PXXX3Ts2BFPT08kSWLTpk3PtZk3bx5lypTBwsKCOnXq5Oo8giCYgGYToPl7WZ9vmwxHF2NuqaHT6Jq4l80qhn77LrzArgxpVBq+bvo1LbxakKZLY1XSKk7cV+6t/rZV3ZnVww8VMr+E3WPKpjOFshjSODriE7IM66ZNkVNTuT1yFPG//WbstARBETkuhHx8fLJ3on9aZmYmJXMxkS4pKYkaNWowd+7c//z6unXrGDt2LFOmTCEsLIymTZvSvn17IiIistvUqVOHatWqPfdx7969HOcjCEI+azEZmozP+vzPCXB8GWaWGjq+UxP3svakJWfyx9wzpD8qmPuttGot37b4liaeTcggg9H7RnPy/knF4rev5k7/CnpUEqw9eptPfjtXKFduVllZ4T0vGLuOHSEzk3uT3iNu+XJjpyUIeWbQXWNPmzFjBu+88w7BwcHUqVMHSZI4fvw4Y8aMYebMmTlOoH379rRv3/6FX581axZBQUEMGTIEgDlz5rBt2zbmz5/P9OnTARSdrJ2WlkZaWlr244SErMv0GRkZaDSa7M/z6kmM3MbKzfE5PcbQ9oa0y2t/CyNT6nNB5JKjczSbjCozDfWRYNg8jkxZQqrZn3YjfNky/xz3ryfw4JgVMc0TcClpl7+5ABISXzb8ksG/DeZq5lVG7BzBvFbzqO5SPc/nyMjIoI6LjG/VKkz+9QIrj9xCJclMaV8pe98zU/pZeZUS0z5HsrcjftVq7k//ivSYGJzeeSdHe7iZWn9Nbnzkc6zC9vsjtwwe/7IBf5o4Ojo+80OelJREZmZmdmHw5HNra2vi4uJymXLW3RwbN27MXqsoPT0dKysr1q9fT9euXbPbjRkzhvDwcPbt22dw7L179zJ37lw2bNjw0nZTp07l008/fe75NWvWYGVlZfD5BEF4BVmm2t01lHuwDRmJMJ8h3HZuij4TYo5Zkf5IjcZGh6t/Mqoc/8mWOxlyBiuTVnI98zrmmDPIZhBeGi/F4h+Jllh7LWvbihYeerqU0qPAHrAFT5Zx2rMXl23bAIivV4/7XbuA2JJDMCHJycn07duX+Ph47Oxe/AeVQf+9zJkzR6m8ciQmJgadToebm9szz7u5uREVFWVwnLZt23Ly5EmSkpLw8vJi48aN1KtX7z/bTp48mfHjx2c/TkhIwNvbmzZt2mBpacmOHTto3bo1Wm3e9hLKyMjIU6zcHJ/TYwxtb0i7vPa3MDKlPhdELrk6h9wB3fbJqI8voVbEEqrXrIXs15P4xkmsn36czEQ1FjFleG1Q5Rxfccjt+FjWcRnvHnyXE9EnWJW2igWNF+Dr7JvrczzdroNWi++xO3z023n2RqooX64sk9pUIDMz02R+Vgz2xhvEN2zAg8+nYX/sGJ52drh9/RWqfxbffRlTGhsFlY+S5yhuvz9y68k7Oq9iUCEUGKjMBoW59e//AGVZztF/itv++avFEObm5tmraD9Nq9Vmf5Oe/jyv8horN8fn9BhD2xvSTsnXrrAwpT4XRC45PscbMwE90vFlaH5/GzRa7Kt0xblWCrHHbLgeFoNbmUhqtymV/7kAdpZ2zHt9HiN2juBk9ElG7BnBkjZL/rMYysk5nrQLaFQGVCo+2nSWJQduolGrGf9a2Vzna0wuffpg5uzMvXcnkLRrF1EjRuI1Lxi1gXfpmlp/TXJ85GOswvb7I6cMjWdQIZSQkJB9WelVFdbLLj/llIuLC2q1+rmrP9HR0c9dJcpvYo5Q3tqZ2pyAgmBKfTb5ORBtvkKly0QdtgJ54zD06RmYO9rQoEspDv98kyMbr+HkaUnJSo75lsvTx2i1Wr5r/h3v7H2H8AfhDN0+lAWtFlDZqXKOz/Ff7XrX8SQzM5NPN19kwb5r6DIzqCqbxs9KTlm2bInHgvlEjh5D8rFj3AwYgOf8+WhcnF94jCmNDSgE40PhWIXt90duKTpHSK1WExkZiaurKyqV6j+vxjy5SqPT5X6jwX/PEQJo0KABderUYd68ednP+fr60rlz5+zJ0vkhODiY4OBgdDodly9fFnOEBCG/yXpq3A6hdOw+ZCSOlx7BXYeGPDxjQfJdLSqtHtfGyWgsC+6OqzQ5jeWJy4nQRWApWTLYejAeGg/F4v8VKfHzzax5NW1K6ungXUjnDAHmd+9ScukyNElJpDs7czdoMBnOLy6GBCG/GTpHyKBCaN++fTRu3BiNRvPKCcrNmzfPUaKJiYlcvXoVyNrZftasWbRs2RInJyd8fHxYt24dAQEBLFiwAH9/fxYtWsTixYs5d+4cpUrl/FJ5TiUkJGBvb09MTIyYI5SHdqY2J6AgmFKfC80cCFmP+o9xqE6tRo+KjI7z0Ffuym9zThNzOxEXbxs6ja2Oxuzlk3KVHB+JGYmM2j2KM7FnsDezZ+FrC6noWFGx8RFy6BZfbrkEwIimpRjXumKO3vo3Jem3bnFv2DAy795D7eKC54IFmFeq+Fw7UxobBZWPmCOkXC6GSkhIwMXFRZnJ0k8XNzktdF7l+PHjtGzZMvvxk4nKgYGBhIaG0qtXL2JjY/nss8+IjIykWrVq/PnnnwVSBD1NzBESc4Ryy5T6XCjmQHSei16WUZ1eg9nmUUjmZrQf3oH1Xx4n5nYihzZcp9WAKgYVC0qMD0etIwvbLGT4juGcjjnNsN3DWNpmKWVtczav50Xt3mpeHlmWmb71MvP330Kr1RbaYkhbvjyl16zl9tChpF2+zN1Bg/CePw+runX/u70JjQ0oJONDwViF7fdHThkaL8crlm3dupUDBw5kPw4ODqZmzZr07duXhw8f5jQcLVq0QJbl5z5CQ0Oz24wcOZKbN2+SlpbGiRMnaNasWY7PIwhCIaFSofvfHG45NUWSdfDzUOwi/6TNkKpIElw8HMW5/QW7WKqtmS0LWi/Az8WP+LR4grYHcfnhZcXiD25cmi6lsqYVfL/7KrN3XC6Uiy4CaN1cs7bkqFMH/ePHRAQN4fHu3cZOSxBeKMerc0ycOJGvv/4agDNnzjB+/Hjeffdddu/ezfjx4wkJCVE8SVMgJkvnrZ2pTY4sCKbU50I3GTRTR7hPECVLlkRz5kfkn4fi0WUB9TrV5eivN9m/7jIO7ha4lfnvy935MT4sJAvmtpjLqD2jOBt7lrd2vUWAeYBi46Olp0zFiuWYseMa3+++ik6vZ0yrcoXyyhCWlngsmE/UxIkk793HnXdG4/rJJ9h17QKY1tiAQjg+itnvj9xSdLL002xsbDh79iylS5dm6tSpnD17lg0bNnDy5Ek6dOiQo/V9TJmYLC0IJkDWUzNiKaXi9qNHxfFSwzl7qwUpUVpU5nrcGiejNi/YKyepciqhiaHc0d3JlwnUe+5JbLpVNCZQo9Ph9vMv2P+z+v+DDu15qPD0CkF4EUUnSz/NycmJAwcO4OvrS5MmTRgwYABvvfUWN2/exNfXl+Tk5Dwnb0rEZGkxWTq3TKnPhXoyqEaNevNYVKfXIEsqUtovYNOfpXgYlYx7WTv+N9oPlVr14uPzYXw8Tn/MyN0jORd3Djszu+durc9p3H+3WXbwJtO3Zr31NqJ5Gca9Vr5wXhki647i2FmzeBSatS+Zw8BA7N55h507d5rE2IBCPj6Kwe+P3FJ0svTTmjRpwvjx42ncuDFHjx5l3bp1AFy+fBkvL+WWojc1YrK0mCydW6bU50I7GbRLMKhVSGGrsNoynPYtl7BhowtR1xM4+ustmvZ6/s6k3OZiyDFOWifmtZpHv439uJN+h+G7h7OozSKqOlfNU9wnbYa1qIBarWbaHxeYv+8GkqRiYttKhbYY8nj/fcxKlCD6m5k8Cl2OLu4hNGxgUmMDCvH4KMDjxWRpYO7cuWg0GjZs2MD8+fOzd5zfsmUL7dq1y2k4QRCEV1OpoOMPUHsAyHoc9w7h9RZZ+xqe3nOHS38X/Fvytma2DLQZiJ+zHwnpCQzdPpRzMecUiz+kaVk+/l/Watbz9l7j662XCu0EagDnoCA8vvgC1Goe//YbnitXok9JMXZagpDzK0I+Pj5s3rz5uednz56tSEKmSkyWzls7U5scWRBMqc9FZjJou5mo9TKq8JWUDh9E7VqhnAyzY8+qi9iVMMfF2ybXueRmfFhIFsxpOofxB8ZzKuYUQ7YPYX6r+c9cGcrL+Aho4IUs6/n8j6wVqDN1Oia1qVBorwxZd+qIh60NURMnYXPhInffGobn3Lmo7ZXbkSA3isz4yMfjxWTpp5w8eRKtVoufnx8Av/76KyEhIfj6+jJ16lTMzMxynq0JEpOlBcFEyXqq315Omdg96GQ1P6bO41G8K2pLPW6NklAZ4b+gp1egNsecgTYD8dZ4KxZ/f5TEhhtFYNf6f1jeuIFn6HLUqamkubtzJ2gwOgW3ZxIEyMfJ0vXq1eP999+ne/fuXL9+napVq9K1a1eOHTvGG2+8YbSd6vOLmCwtJkvnlin1uchNBpX1qLa+h/pkCCl6GzakLCPhsRavyg60G1ENnS7nu7nndXwkZSQxeu9owh6EYa2xZm7LudQoUUOx8bHm6G0++f0CAAMa+vBhh8I7ZygjI4N9K1ZQbtUqdDGxaEp64rlwIWYFvFDu0/kUqfGRD8eLydJPuXz5MjVr1gRg/fr1NGvWjDVr1nDw4EF69+5d5AqhJ8RkaTFZOrdMqc9FajJox9mgMcPy6ELam03kZ/Us7lx8RNiW29R5wyfXueR2fDhoHVjQegFv736bY1HHGLVnFPNfn4+fk5/BcV/WJrBxWcy0Gib/coYVRyJAkvi0U9VCWwyle3jgtWIl94YPJyMigruBA/FetBDLqi+ecJ7fitT4yKfjxWRpsm6F1Ov1AOzcuZMOHToA4O3tTUxMTE7DCYIg5I4kQfuvoeFIXLS3aGkzB4ATW29x45Rx/i+y0loR/FowDTwakJyZzPCdwzlx/4Ri8fvU92FG9+pIEqw4fIsPN51Fry+8E6i13l6UXrMa8ypV0MXGEjEgkKQjfxs7LaGYyXEhVLduXaZNm8bKlSvZt28fb7zxBgA3btzAzc1N8QQFQRBeSJKg7ZfQ6B0qWu6nhtVvAOxddZmMxBz/96YIS40lc1vNpZFnI1IyU3hn7ztcy7imWPye9byZ+WYNJAlW/x3B5F/OFOpiSOPiQqkVy7GqXx99UhK3hw4lYft2Y6clFCM5fmtszpw59OvXj02bNjFlyhTKly8PwIYNG2jUqJHiCZoKcddY3tqZ0h1UBcWU+lzk74pp8TEqVPgfnMuDjLLcS61G7EkLktqnYG2bP+d8WXs1ar5t+i0T/prAwciDrExaSc3bNWnq3VSRc3eq7gayHxN/PsO647dJz8xketdqqFWF422y5/prYYH7vGDuv/c+Sbt2cXfsONI//BD7Hm8aJx8TP0dx+/2RW/l219iLpKamolarTWYuRF6Ju8YEoZCRZSpH/YL33b38FDuTJL0LFm4ZONdKNdodVplyJj8m/cjFzIuoUdPXui+VtJUUix8WI7Hiigo9EnVc9PQrr0ddOGqh/6bX47pxEw5HjwIQ07YNcS1bUqhvkROMJt/uGituxF1j4q6x3DKlPhenu2JU+2fyYOfPbIz7Aj1a6ncsRc02Poqf09D2yWnJvPXbW5zPOI9GpWFGkxm08GqRp3M/bdu5+4z96TSZepn2Vd34tocfWrVx3hY01Mv6K8sycT/8wMPFSwCw798Pl4kTkVT516fiND5ye3yxv2vMycmJy5cv4+LigqOj40vvUoiLi8t5toWAuGtM3DWWW6bU52JxV0yryZRQa2n2x2L2Jozk2O83cSvtgE9V53w556vaW2FFL6teHLA/wI6IHUzaP4mvm31Nm9Jt8nxugP/V9MLcTMvI1SfYcu4+Ohnm9q2Nmca0iyF4cX/d330XMxcX7k//ivhVq5EfxeP55RdI+bxOXbEYH3k8vijeNWZQITR79mxsbbPeaC+qt8cLglB06BuNQb58Fd/zOzif0prtC4/T86Om2JUwztvbaknNF42+QKvW8ueNP5n01yQy9Bm8UfYNReK39nVjUUBdhq06wfbz9xm+6gTz+tXGQqtWJL4xOAUGonZy4t7kD0jYvBldfDxe381BJaYoCAozqBAKDAz8z88FQRBM1TXX9rSrHEnMT1eITq/Alm+20+3z/6E1z/E9IorQqDR82eRLNCoNv137jcn7J5Opz6Rz+c6KxG9Z2ZWlgXUZsvw4uy9GM3TFcRYF1MXSrPAWQ/YdO6K2t+fO6DEk7d/PrUGD8F6wAI2jo7FTE4qQXF87jY6O5uzZs5w+ffqZD0EQBFOhahhEu+6WWKriiUmwY9+M1cg6ndHyUavUfN74c7pX6I6MzEcHP2LD5Q2KxW9aoQQhg+phqVWz/0oMg0OPkZyeqVh8Y7Bp1gyfkGWo7O1JPXWaW/0DyIgq+E12haIrx4XQiRMnqFatGh4eHlSvXp2aNWtmf9SqVSs/chQEQcg12xYDaNMhEwkdl+56c2buHNAbrxhSSSo+9v+YPpX7ICPz6eFPWXd5nWLxG5VzYUVQfWzMNRy+HkvgsqM8TjX+Eg55YVWrFqVXrUTj5kb6tWvc7NOXtOvXjZ2WUETk+BrxoEGDqFixIkuXLsXNza3QLu+eU2Idoby1M6U1dQqKKfW5uK+T4ta2Cw1j/+TwYVsOXvDDeekHuA6YCirNC49RKscXtZtQawIaNKy8uJKvj39Ne4v2tM5obdC5X6VmSVtCAmszeMVJjt18SP8lf7NsQG3sLE1j0n5uvr+q0qUpuWI594YNI+PmLW727YfnvGAs/tkAvKDzMeY5itvvj9zKt3WEbG1tCQsLy15IsagS6wgJQtEiy5ByLIm4WHesVHE0LbOK8+UDkFXGmTOUlZPMztSd7EvbB8DrFq/TwqKFYvFvJ8K8C2qSMyW8rGVGVtFhbRq1UK6pExMpGRKKxZ076M3MuBcQQHLFCsZOSzBB+baOUJcuXQgICKB79+55TrIwEOsIiXWEcsuU+izWSfnn+TQdv07fT1ysGnftRTrV/wveXAwaC6OND1mWWXB6AYvPLQZgaLWhDPcbrtjV9otRjwkMPU5cUgYVXW1YPqgOLjbmisTOrbx+f/VJSUSOHUfKkSOg0eA2/Uts27UzWj4FfY7i9vsjt/Jt9/klS5YQGBjI2bNnqVat2nOJd+rUKefZFgJiHSGxjlBumVKfi/s6KVqtlvZjGrP+i8NEpVXmUNgNmjMAeq2GXI5vJcbHiBojiLgWwbbUbSw+u5gMOYPxdcYrUgz5eTvx0zB/+i7+m8vRifRbdpw1Qxribm+R59h5levvr4MDPosWcu+993i8ZSv3J70HCQk49etnnHyMdI7i9vsjpxRdR+hphw4d4sCBA2zZsuW5r0mShM6Id2QIgiC8ioOrFa2H1OCP4NOcTW6P65nvqaLrCT1WGjWvphZNqV61Ot+c+IbQc6Gk6dJ4v/77qKS8L4xY3tX2n2LoCNcfJNFr0WFWD2mAl2PhfbtfZWZGyZkzue/oyMM1a7n/+TR0cQ9xeXtUsZm7KigjxyNs9OjRBAQEEBkZiV6vf+ZDFEGCIBQGpf1cqN+xDAD7EoYTfeUu6rU90eiSjZpXn0p9+Nj/YyQk1l5cy2eHP0On0B1upV2sWTfMH28nS27FJtNr4RFuxiQpEttYJLUat48+wuXttwGICQ7m/uefG3WJBKHwyXEhFBsby7hx43Bzc8uPfARBEApE3falKe3njA4ztjyaTFrEBRpd/RpSHho1rx4VezCtyTRUkoqfr/zMhwc/JFOvzFpA3k5W/DTMn7Iu1tx9lELPhYe5Gv1YkdjGIkkSJd4ehdtHH4Ik8XDNWu5OmIA+Pd3YqQmFRI4LoW7durFnz578yEUQBKHASCqJ1wf5Yl/CkkSdC9sfv4990i00q7pA4gOj5tapXCe+bvY1GknD5uubs7bk0Clze7GHvSXrhvlTyc2W6Mdp9Fp4hAuRCYrENianfv0o+e1M0Gp5vGUrd4YPR5dYuK94CQUjx3OEKlasyOTJkzlw4AB+fn7PTUYaPXq0YskJgiDkJ3MrLe2H+7FhxgnupPhyQD2YZtFLILQDDPgN7DyMllu70u0wU5kxYd8EdtzaQbounW9bfIu5Ou93fJWwNWftWw0JWPo35+4l0HvREVYG1ae6l0PeEzciuw4dUNnbc+ed0SQdOkzEwIF4L1qIxsnJ2KkJJixXd43Z2Niwb98+9u3b98zXJEkqsoWQWFAxb+1MaXHBgmJKfRYLxr2Ynas5zftWYFfIRc4kvoGHTSQVYv5ADmlPZr9fwN47T+fIy/ho6tGU2c1m8+7+d9l3Zx9v73ybb5t9i6XG8pX9ehVbM4kVA+sQtPIk4bfj6bv4b5YE1KJOqfzfxys/fx7N69en5NIl3BsxktSzZ7nZty+eCxei9fQ0Sj75cY7i9vsjt/JtQcXiQiyoKAjFy6OL5iTeMENS6+ns+hkl5VMka504VGEySebGnRN5PeM6q5JWkU46pdSlCLAJwEJS5vb3VB0svqjmaoKEmUpmaGU9Fe0L/68FbXQ0XkuWoo2PJ8POjrtBQaS7i7mtxUm+Laj4bzqdjjNnzlCqVCkci+COwGJBRbGgYm6ZUp/FgnGvlpaazo9fHSQtVoO9s5Y3S0zG4tEZZGvXrCtDJSrn6hxKjY9TD07xzt53SMxIpJpzNX5o8QP25vYG9e1VUtJ1jFwbzoGrsZhpVAT3qUGLiiUUif1fCmpsZEZFcXfYcDKuX0dlZ4dHcDCWNWsYJZ/CPj7EgopPGTt2LH5+fgQFBaHT6WjWrBmHDx/GysqKzZs306JFi7zkbbLEgopiQcXcMqU+iwXjXs6pRioJYc7Ex6axy302HVzHIUWfQbuyEwzYBB7P/xItqPFR17MuS9suZdiOYZyNPcvw3cNZ2HohzpbOBvXtVeddOrAeo1aHsfPCfUauCeeHPrVoVy1/50jl98+j1tub0qtXcWf4CFJOneLe0KF4ff8dNs2aGSUfpc9R3H5/5JSh8XJ819iGDRuoUSPrP4Pff/+dmzdvcvHiRcaOHcuUKVNyGk4QBMFkqM1l2gypglqj4ua5x5wouQg8a0FKHIR2hNvHjJqfr7Mvy9ouw9nCmUsPLzFo2yCik6MViW2uUTO/f23+V92DDJ3MqDVhbAq7q0hsY9I4OuITsgzrpk2RU1O5PXIU8b/9Zuy0BBOS40IoJiYGd3d3AP7880969OhBxYoVCQoK4syZM4onKAiCUJBK+NjSrE9FAP7eGsWtuivAuyGkxcOKznBjv1Hzq+BYgdB2obhZuXEj/gaBWwK5m6hMwaJVq/iudy3erOOFTi8z7qdw1h6NUCS2MamsrPCeF4xdx46Qmcm9Se8Rt3y5sdMSTESOCyE3NzfOnz+PTqdj69atvP7660DWpCS1Wq14goIgCAXNt7EnVZuVBBl2rLpJfLs1ULYFZCTB6jfhyk6j5lfavjTL2y/Hy8aLO4l3GLh1IDfjbyoSW62SmNG9OgENSyHLMPmXMyw7cEOR2MYkabV4fv0VjgMCALg//SuiZ89B3C8k5LgQGjRoED179qRatWpIkkTr1q0B+Pvvv6lcufIrjhYEQSgcmvaogFsZO9KSM9my7CoZ3dZAxXaQmQpreyNd3GzU/EralCS0XShl7MsQlRTFwK0DufLwiiKxVSqJzzpXZVizsgB8tvk8wXuuKhLbmCSVCrfJkykxdiwAsQsXEvXxx8iZyqzcLRROOS6Epk6dypIlS3jrrbc4ePAg5uZZi3up1Wref/99xRMUBEEwBrVWRbu3/LC0MyP2bhJ71t1E7rkSqnYFfQbqX4Lwijto1BzdrN0IaRtCJcdKxKbGMmjbIM7FnlMktiRJvN++MmNfrwDAN9suMWPrxUJ/BUWSJFyGD8P9s09BpeLR+g1ETZiIZALrfQnGkattjd98803GjRuHl5dX9nOBgYF07txZscQEQRCMzcbRnHZDq6FSSVw5dp/T++5D96VQsx+SrKP2rUVIJ40718TZ0pmlbZdS3aU68WnxDNk2hJP3TyoSW5Ikxr5ekQ86ZF3tn7f3Gp/+fh69vnAXQwCOPXtScs5sJK2WpF27KLlsGbrHhXvfNSF3cnz7PMCuXbvYtWsX0dHR6PX6Z762bNkyRRITBEEwBZ4VHGj0ZnkO/HSFgz9fxcXbhpKd5qJTm6M+sQzNlndBnwb+o4yWo725PYvaLGLUrlGcuH+C4TuH813L7/D39Fck/lvNymFppuGjTWcJPXST5PRMpnerjlolKRLfWOzatEG9eDG3R43C6voN7g4OotSSxWhcXIydmlCAclwIffrpp3z22WfUrVsXDw8PJKlwDwRDiS028tbOlLabKCim1GexhUDejqnSxI2o64+4evwB2xafpevEWpi3msbd2/epEP0HbPsAXUoC+ibvwr/+Tyyo8WGGGd83/56J+ydyKPIQo3aNYkaTGTT3ap7rmE/rXccTcxW8v/EsPx2/Q1JaJt90r4ZWnfM3FkxpbJjVqY374kXcfmsYXLzIzT7/bMnh7fXqg3OgKI+PvLQvlFtseHh4MGPGDAICAnKVWGEhttgQBOFpeh08OGxFxmM1Wnsdrg2SkVQyFe//RpXInwG44voG5z17PlcMFaRMOZOfkn/ifMZ5VKjoYdUDPzM/xeKHx0qsuKJCJ0tUc9QzsKIeba4mWZgWbUxM1pYcDx+SaWvLnaDBpHsYb9NdIe/ybYsNZ2dnjh49Srly5fKcZGEgttgQW2zklin1WWwhoMwxCTEpbPwmnLTkTCo2dCXZ8RqtW7fG/OQS1Ds/AkBXZzD6tl+BpDI4rtLfn0x9JlOPTOXPm38iIfFRg4/oUq5LnuM+se/yA0atPUVapp5G5ZyY37cmVmaGv8FgSmPj6Xxa1qzJg7ffIf3KFVS2tnj88D2Wdeooeo6iPD5y075QbrExZMgQ1qxZw0cffZSnBAsbscWG2GIjt0ypz2ILgbwd4+yhpXVQVTbPPcXlI9E4Vstqq24yGixsYfM41CeWoc5MhU4/gFpjUNy85PufcdAyvdl0rM2sWX95PZ/9/Rlp+jT6+/bPc2yA16t6EjrInCHLj3HoWhyDV4SxbGA97C3z9/+i/Gbp6Unp1au4PWIkKSdOcG/YcErOnoVtq1aKnaMoj4+8tC9UW2ykpqYya9YsmjdvzjvvvMP48eOf+RAEQSjKSlV1pkHHrPV1Hp4zJ/rmP3ca1R0E3RaBpIZTa2DDIMhMN1qeKknFRw0/ItA3EICvj33NotOLFLv93b+cM6uGNMDOQsOJWw/pu/gIcUnG669S1HZ2+Cxdgk3Llshpadx5ZzSPfv7F2GkJ+SjHhdDp06epWbMmKpWKs2fPEhYWlv0RHh6eDykKgiCYljrtSlG6ujPIEjuWnic54Z8CoHpP6LkC1GZw4Tf4sS9kpBgtT0mSeLfuu4ysMRKAH8J+YM5J5VZTruXjyI9v+eNsbca5ewn0WniY+wmpisQ2JpWFBV4/fI99166g0xE5ZQqxS5caOy0hn+T4rbE9e/bkRx6CIAiFhqSSaNG/Iqs+PUjSo3S2LzlLpzE1UalVUOV/0HcdrO0LV3eg/rEXGodA4+UqSYyoOQIrrRUzj89k2dllJGUk8UGDD1BJeZ/l7Otpx0/D/em3+G+uRCfSY8FhVg9pgLdT4b65RNJo8PjyC9SOjsQtW0b0NzPJjI3DdeKEYnO3dHFRBOb6C4IgFDwzSw3OtVPQmqu5e/kRhzZe+/8vlmsFARvB3A5VxCEaXf0aUh4aL1kgsGogH/t/jITEukvr+OjgR2TqldlaolwJG9YP98fHyYqIuGR6LDjM1ehERWIbkyRJuE2aiOvECQDELVtG5OQPxJYcRUyuCqFjx44xadIkevfuTbdu3Z75EARBKC60Nnpa9M/aqf7UzttcOXb//79Yyh8Cf0O2dMIx+TqaVZ3h8f0XRCoYPSr2YHrT6aglNb9d+42J+yaSrlNmXo+3kxXrh/tTwdWGqIRUei08zLl78YrENjbnoCA8vvgC1GriN23iztvvoE8x3luegrJyXAj9+OOPNG7cmPPnz7Nx40YyMjI4f/48u3fvxt7ePj9yFARBMFllarpQu20pAHavvEDs3aeuhHjWIjPgN1I19kjR5yGkPTy6baRMs7xR9g1mtZiFVqVlZ8RORu8eTUqmMr/U3ewsWDfMn2ol7YhNSqfPoiOcuGXcK2FKcejeDa8fvkcyNydx714ihgxFF180Cr3iLseF0Jdffsns2bPZvHkzZmZmfPfdd1y4cIGePXvi4+OTHzkKgiCYtAady+JdxZHMdD1/LjhDatJTK9qWqMyBih8i23tD3DVY1g5ir704WAFo5dOKua/NxVJjycF7Bxm+YziJ6cq8leVkbcaaoQ2pW8qRhNRMApb+zcGrMYrENjbbVq3wWboEla0tKSdOcCtgABn3o42dlpBHOS6Erl27xhtvvAGAubk5SUlJSJLEuHHjWLRokeIJCoIgmDqVSqJNUDVsnSxIeJDCzpDzyE9tTJpk7kbmgD/AuQIk3MkqhqLOGjFjaOTZiIWtF2KjteFk9EmCtgfxKPWRIrHtLLSsCKpP0wouJKfrGBR6jJ3njfu2oFKs6tal1KqVqEu4kHb5Mrf69iX95k1jpyXkQY4LIScnJx7/s0NvyZIlOXs2azA/evSI5ORkZbMTBEEoJCxstLQf7odaq+LW2ViO/XHj2QZ2njBoC7j5QVI0hL4Bd44bJ9l/1HKtxdK2S3E0d+R87HkGbRvEg+QHisS2MtOwJLAubXzdSM/UM2zVCX4Nv6tIbGOzqFSJ0mvXovXxIePuXW7260/KuXPGTkvIpRwXQk2bNmXHjh0A9OzZkzFjxjB06FD69OnDa6+9pniCgiAIhUUJH1ta9K0EwLE/bnLj9L/eErIpAQN/B696kPoIVnSGG/sLPtGn+Dr7EtouFFdLV64+ukrg1kDuJipTsJhr1MzrV5uutUqi08uMXRfOmr8jFIltbGZeXpResxrzKlXQxcYSMSCQpCN/GzstIRdyXAjNnTuX3r17AzB58mQmTJjA/fv36datG0vFglOCIBRzlf098GteEoCdy84RH/2viciWjhCwCco0h/REWP0m0pXtBZ/oU8o6lGV5++WUtCnJ7ce3GbBlANfjrysSW6NW8W2PGvRv6IMswwcbz7D04E1FYhubxsWFUiuWY1W/PvqkJG4PHUrCduN+L4Wcy1EhlJmZye+//45KlXWYSqVi0qRJ/Pbbb8yaNQtHR8d8SVIQBKEwadyjAh7l7ElP1bF9yXmeW67H3Ab6/gSVOkBmKuoNA/B8eMQouT7hZevF8nbLKWtflujkaAZtHcSF2AuKxFapJD7vXI3hzbM26/5q62X+vK1SbIVrY1Lb2uK9eBG2rV9Hzsjg7thxPFz3k7HTEnIgR4WQRqNhxIgRpKWl5Vc+giAIhZ5ao6LtW9WwsjPjYWQycactSEvOeLaR1iJrOw6/Hkj6TOrenI8Uvso4Cf/DzdqN0HahVHGqQlxqHEHbggiPDlcktiRJvN++MhPbZr11uO2Oii+2XEKvL/zFkMrcnJJz5uDQowfo9UR98gkxCxYUiUKvOMjxFhsNGjQgLCyMUqVK5Uc+JisjIwONRpP9uRLx8hIrN8fn9BhD2xvSLq/9LYxMqc8FkYuS5ygK48PMSsXrQZX5/bszpN7Xsvrjo1Rp5IFfy5LYOJr/f8P/zQWVBdpTK9H8MRZd2mP0DUYYnLfSbNQ2LGi1gDH7xhD+IJyh24cyq9ksGno0VCT+W01KYSbp+WLrFZYfjiApTce0zr6oVcbbtkKpn13njz5EcrDn4eIlPJjzHekxMbhMnIikUonxoWAuhjI0piTnsGRdv34977//PuPGjaNOnTpYW1s/8/Xq1avnJJzJCg4OJjg4GJ1Ox+XLl1mzZg1WVoV77xxBEApeygM18RfNyUxUZz0hyVh5ZmJbJh2trT7rOVnG9946KkT/CcBF9y5ccu8KRtzTKl1OZ23SWq5kXkGNml5WvfA181Us/tFoiTXXVMhI1HTWE1Bej6aIbPrksP8Arps3A5BQsyZRPd4ETY6vOwh5lJycTN++fYmPj8fOzu6F7QwuhAYPHsycOXNwcHB4PogkIcsykiSh0+lynbQpSkhIwN7enpiYGCwtLdmxYwetW7dGq9XmKW5GRkaeYuXm+JweY2h7Q9rltb+FkSn1uSByUfIcRW18bN++gypedTm3N4rIq/+/GrFPNSdqvOaFs48lO3fsoL3tecz2fw2Arv4w9K9PM2oxlKHL4INDH7Dr9i7UkppPGnzC/8r+L+9x/3nt8KrJhF/OkaGTaV7BhR9618DSTK1A5rnLR8nx8XjzH9z/6CPIzMSqcWOcZ3zNrgMHxPhQIBdDJSQk4OLi8spCyOASdfny5Xz11VfcuHHj1Y2LIK1Wm/1NevpzJeMW1PE5PcbQ9oa0U/K1KyxMqc8FkYsYH8+TJChbw5VKdUsSdSOe8O0RXAt/QMTZOCLOxuFWxpZMRy20nwA2zrBlEuqjC1FnJEPH70BV8MUBZPVtZouZTD00lV+v/crHRz4mVU6lT+U+isTvUN0TR1sr3lp5nH1XYhiyMoylA+tia2Gc8aLkz65T1y6YOTtxZ/QYkg8eRDdiBKouXcT4UDAXQ2IawuALkU8uHJUqVeqlH4IgCMKLuZexp90wP/pNbYhvU0/UGhX3bzwm9qQlP31xgvMZHdF1nA+SCsJWwobBkKnMxqi5oVFp+KzxZ/Sr0g+AL//+ksWnFys2EbhZxRKsCmqArbmGozfj6Lv4b+KSjNdfJdk0a4ZPyDJU9vaknT6D9+LFYud6E5Sjd2QlI16iFQRBKEoc3Kxo2a8yAV/4U7O1N5JGJj46hT2rLrJinQ8ny6whDTs4vwl+7Avpxlu5XyWpeK/eewyrPgyA78O+Z/bJ2YoVQ3VLO7H2rYY4WZtx5m48vRYeJio+VZHYxmZVqxalV61E4+ZGXNOmSGKukMnJUSFUsWJFnJycXvohCIIgGM7a3pz6nUrj0TKRhl3LYO1gTnJCOocPmbM8LpRDiYNJvHQCVnWHVOPtdi5JEm/XepsJdScAEHI2hM+PfI5Or8y80Gol7flpmD/udhZciU6kx8JDRMQWjW2bzCtUwOe3X3lcp46xUxH+Q45K008//RR7e/v8ykUQBKHYUmmgeisvar5WiivH7nNyewQPI5MIS+/IqcT2VEzcR62Fg3AashisnY2WZ2DVQGy0Nnx6+FPWX15PUkYS05pMQ6vK+/yO8q42rB/uT/+lf3MrNpk3Fxxi1ZAGVHSzVSBz41KJu45NVo4Kod69e+Pq6ppfuQiCIBR7ao2Kyv4eVGrgzq1zsZzcdovIq/FcTHmNixdeo/TUtdQOaIdH9fJGy7F7xe5Ya62ZvH8yf974k6SMJGY2n4mFxiLPsb2drFg/zJ+ApUe5dP8xPRceZvmg+tTwdsh74oLwHwx+a0zMDxIEQSg4kkqitJ8L3SbUofukOpStYgHoufnYl1/mRfDzlwe5ceoBspFWZm5Xph3ftfoOc7U5++7sY9SuUSRlJCkS29XOgnXDGlLD24FHyRn0XXyEw9diFYktCP+W47vGBEEQhILlXtae9mMa0ffd0vg6HEFFBlERafw5/wxrP/ub8wfvocvQF3hezbyaMf/1+VhrrTkadZQh24bwKPWRIrEdrMxYPaQBjco5k5SuIzDkKLsu3FcktiA8zeBCSK/Xi7fFBEEQjMixQnlaTgligO8salv/gpmUzMOoZPasvMjKDw9xcvst0lMK9vbseu71WNpmKQ7mDpyNPcugbYN4kPxAkdg25hqWDazH61XcSM/UM2zlCX4Nv6tIbEF4oogsaC4IglBM2LphPfRH/KtcJLDEEBrZr8HaBpLi0zn8yzWWTz7I4Y1XSYovuM2xq7pUJbRdKK6Wrlx9dJUBWwZw5/EdRWJbaNXM71+brrVKkqmXGbsunFVHbikSWxBAFEKCIAiFj6UjBGzCrHwDalmuJ8CuH61ap+PobkV6qo6T2yJYMeUQe1Ze4GGUMvN2XqWcQzmWt1+Ol40XdxLvELglkGuPrikSW6tW8W2PGgQ0LIUsw4ebzjJ/rzKxBUEUQoIgCIWRuQ30WQeV/4dan0yVs33p0+UWHUZWx6OcPfpMmfMHI1nz6d/8Of80Udfzfw0iL1svVrRfQXmH8kSnRDNw60DOxZxTJLZKJfFZ56qMalkOgK+3XuTrrRfF/FUhz0QhJAiCUFhpLaDHcqjRB2Qd0qa3KJO6kW4T69BtQm3K1HABGW6ciuHnGSf4ZeYJbp6Oydc7zUpYlSCkbQh+Ln48SntE0PYgjkUdUyS2JElMbFuZ99tXBmD+3mt8uOkseiPdOScUDaIQEgRBKMzUGug8D+q/lfX4zwnw10w8ytnTYUR1+nzSgCqNPFCpJSKvxvPHvNP8OO0oFw9HosvMnzvNHCwcWNxmMfXd65OUkcSInSP4685fisUf3rwcX3b1Q5Jg9d8RjPspnAxdwd81JxQNohASBEEo7FQqaD8Dmk3Merz7c9jxMcgyTh7WtBpQhQFfNKJWGx/MLNTE3Uti1/ILrPzwMGE7IkhPVf5OM2utNfNen0cLrxak6dIYs3sMf17/U7H4fRv48F3vWmhUEr+G32PEqhOkZiiz3YdQvIhCSBAEoSiQJGj1IbSZlvX40Pfw+xj4Zy8wawdzGnUrz4DpjfHvWg4rezOSHqVx6OerLJ98iMObril+p5m52pxZLWfxRtk3yJQzeX//+/x06SfF4neq4cniAXUx16jYeSGaQSHHSEwTu7sLOSMKIUEQhKKk0TvQ6QeQVHByOfw8BDLTs79sbqmhdttSDJjWiJYBlXFwsyI9JZOTW29l3Wm26iKP7iu32alWpeXLJl/Sq1IvZGQ+P/I5oedDFYvfsrIrKwbXx8Zcw+HrsfRbfISHSemvPlAQ/iEKIUEQhKKm9gB4MwRUWjj3C/zYF9KfLW7UWhW+jT3p+0kD2g/3w72sXdadZgfusXrqEbYsPEPUDWXuNFNJKqY0mMJQv6EAfB/+PdtStil2x1eDss6sHdoQRystp+7E03PhYaLiUxWJLRR9ohASBEEoiqp2gb4/gsYSru6AVd0h9fnCRlJJlK1Zgu6T6tJ1Qm1KV8+60+x62AN+/voEG789yc0zMXkuWiRJYnTt0YyvMx6A/Wn7mX5sOjq9MvN6/LzsWT/cH3c7C65EJ9Jj4SFuxRbMGkpC4SYKIUEQhKKq/OsQsBHM7SHiEIT+D5JiXtjcs7wDb4ysTp+PG1DZ3x2VWuLelUf8EXyaHz8/ysUjkejyeHfWoGqD+LD+h0hIbLi6gcn7J5Ohz8hTzCfKu9qyfrg/pZytuB2XwpsLDnMp6rEisYWiq8gXQrdv36ZFixb4+vpSvXp11q9fb+yUBEEQCk4pfxi4GaxcIOo0LGsH8S/f/sLJ05rXAn0JmOZPzdY+aJ/caRZ6gVUfHiZ8Z97uNOtWvhs9rXqiUWnYcnMLY3aPISUzJdfxnubtZMX64f5UdrflweM0ei48TFjEQ0ViC0VTkS+ENBoNc+bM4fz58+zcuZNx48aRlCQulwqCUIx4VIfB28DOC2KvZBVDMVdfeZiNowWNu5cn8MtGNOxSFks7MxIfpnFww1VWfHCII79eIzkhdxOT/cz8mN1sNhZqC/bf3c/wHcN5nK7M1RtXWwt+fKshtXwciE/JoN+Svzl49cVXwoTircgXQh4eHtSsWRMAV1dXnJyciIuLM25SgiAIBc2lPARtA+cKEH8bQtpB5GmDDjW30lKnXWkGfOFPi36VsHe1JC05kxNbbrHig0PsXXOJR9E5v9OssWdjFrZeiI3WhpPRJwnaFkRcqjL/PztYmbEqqAFNyruQnK5jUMgxtp6NUiS2ULQYvRD666+/6NixI56enkiSxKZNm55rM2/ePMqUKYOFhQV16tRh//79uTrX8ePH0ev1eHt75zFrQRCEQsjeCwZtAffqkPQga85QxBGDD9do1VRtWpK+UxvSfpgfbmXs0GXqOffXXVZ/coSti85w/2ZCjlKq7VabZW2X4WThxIW4CwzcOpCoJGUKFmtzDUsH1qVdVXfSdXpGrj7BhhMvf1tQKH40xk4gKSmJGjVqMGjQILp37/7c19etW8fYsWOZN28ejRs3ZuHChbRv357z58/j4+MDQJ06dUhLe34hsO3bt+Pp6QlAbGwsAwYMYMmSJS/NJy0t7ZlYCQlZgzojIwONRpP9eV49iZHbWLk5PqfHGNrekHZ57W9hZEp9LohclDyHGB/5yNwB+m1C/VNfVLePIK/ogu7NUORyr+UojHc1B7yq2hN1LYFTO+8QcS6OaycfcO3kAzwr2FPjdS+8qjgiSdJzx/67v+XtyrPk9SWM3D2SG/E3CPgzgAWtFuBj55Pn7qqA2T2qYWWm4pewe0xYf4pHSakE+pd6YT75QYwP5XIxlKExJdmEtu6VJImNGzfSpUuX7OcaNGhA7dq1mT9/fvZzVapUoUuXLkyfPt2guGlpabRu3ZqhQ4cSEBDw0rZTp07l008/fe75NWvWYGVlZVhHBEEQTJxan0a9Gz/glnAavaTmRKnh3HNskOt4GY9VPL5hRvI9DchZxY/WVodtmXQsPTKRDHj/4ZH+EaGJocToY7CWrBloPRAPjUeuc3qaXoZNt1Tsi8xKpJ2XjnZeMv9RpwlFRHJyMn379iU+Ph47O7sXtjPpQig9PR0rKyvWr19P165ds9uNGTOG8PBw9u3b98qYsizTt29fKlWqxNSpU1/Z/r+uCHl7exMTE4OlpSU7duygdevWaLXaHPfvaRkZGXmKlZvjc3qMoe0NaZfX/hZGptTngshFyXOI8VFAdOmofxuJ6vwmZCR0Hb5FrjUgTyETH6ZxZs9dLhyMJDM961Z7G0dz/FqVpLK/O1pz9Uv7G5cax6g9o7j08BI2Whu+b/E9NUvUzFNOT8iyTPDe63y3+xoAgf4+fNCuEjpdphgfCh+j5PjIrYSEBFxcXF5ZCBn9rbGXiYmJQafT4ebm9szzbm5uREUZ9h7ywYMHWbduHdWrV8+ef7Ry5Ur8/Pz+s725uTnm5ubPPa/VarO/SU9/nld5jZWb43N6jKHtDWmn5GtXWJhSnwsiFzE+ct+uwH9WtFp4cxn84Yh0IgTNn+MhIxEaj8l1SEdXLc16VaL+/8py9q+7nN59m8SHaRz++Tont0bg19yLKk3c/jn98/1107qxrN0y3tn1DiejTzJy90hmt5xNk5JN8tTVJ8a1qYyjtTlTfz/P8sMRJKbpmdap8gvzUZoYH8rlYkhMQ5h0IfTEv99jlmX5P993/i9NmjRBr8/bAmCCIAhFlkoN/5sNlg5wYHbWrvUpj+C1j8nL+0YW1lrqti9Nzde9uXg4ivAdEcQ/SOH4nzcJ2xGBhYc5cTWTcCvl8NyxdmZ2LGi9gPF7x3Pg7gHe2f0O05tOp13pdrnO52kDG5fBzlLLxA2n+fnkHRJS0mn74gsGQhFn0oWQi4sLarX6uas/0dHRz10lym9isnTe2pnSxOGCYkp9FpNBlT+myI2P5lNQaW1R7/kMDsxClxyHvu3XWYVSHlXyd6VCgxLcPB3LqR23eRCRSFKEGRumn8S1tC2VGrpRrnYJzCz//1eSBg3fNvmWjw5/xPaI7UzaN4n4lHi6le+W53wAOvq5YampwZifTrPjQjQ37VQ0b5GCg40i4Z8jxodyuRiqSE2WrlOnDvPmzct+ztfXl86dOxs8WTo3goODCQ4ORqfTcfnyZTFZWhCEYqFUzB5q3A5FQuaOY0NOlnoLWVLub2ZZhrQ4NYm3tKRG///EakktY+meibVXBmaOuuyLUXpZz+8pv3Ms/RgAbS3a0tSiqWL5XImXWHxRRZpeopSNzLDKOqxN451sIY8KzWTpxMRErl7NWuG0Vq1azJo1i5YtW+Lk5ISPjw/r1q0jICCABQsW4O/vz6JFi1i8eDHnzp2jVKlSr4iedwkJCdjb24vJ0oV1MqgRmVKfxWRp5Y8pyuNDOr8J9a8jkPQZ6Mu9jq77MtAq94fgk/42adicG2EPuXQ4ikf3/3+LDXtXSyr5u1GxvhtWdmbIsszcU3MJOR8CwCDfQbxd422Dp0i8yombsQxefpzkTIkKrtaEBNbBzc5CkdhPiPGhXC6GKjSTpY8fP07Lli2zH48fn7UzcWBgIKGhofTq1YvY2Fg+++wzIiMjqVatGn/++WeBFEFPE5OlC+lkUBNgSn0Wk0GVP6ZIjo8aPcDKEdb1R3VtJ6ofe2ftZG9hr+hp7JysqdvOgTptSxN1PYELB+9x5UQ08dEpHP31Jsd+v0VpP2d8G3sytvZY7C3smXNyDiHnQ0jMTGRKgymoFXjrrk5pZ8ZU1bHsujVXopPos/QYq4IaUMrZWoFePkuMD+VyMSSmIYxeCLVo0YJXXZQaOXIkI0eOLKCM/puYI5S3diYxB6KAmVKfxRwh5Y8p8uOjdHOkvutRr+uLFHEIOeQNMvv8BNYl8hz6v/rr4mNFU5/yNOhamuthMVw8FEX0zcfcOBXDjVMxWNmZUblBM96vaMfXlz9n/eX1xKfG87n/52jVeb/C4m4FKwfWYsjqU0TEpfDm/EOEBNahkrttnmI/fY6n/zVmrMI2PnKrUM4RMiVijpAgCALYJd/C/9o3WGQmkGjuzqHyk0gxcymQc2c8VpF0R0vyXQ36jP9fkTHDIZ4DLpu55hRGWfMy9LbujZlkpsg5E9Jh3gU1kckSVmqZYVV0lFamFhIKWKGZI2TqxByhojkHoiCYUp/FHCHljylW4yPuGprV3ZES7iDbepLZ92dwqZDrcDntry5Tz62zcVw6HMWdCw958lsrXZ3KFZfj6CvF8UWnj7Azz9098P/OJz4lg6ErTxJ2Ox5LrYp5fWvRpLxzrmK/6BzGjFXYxkduFZo5QoWFmCNUxOZAFCBT6rOYI6T8McVifLhVhqDtsLILUsxltCv/B/1/Ac+aeQpr+GsHlep5UKmeB4/jUrl4OJILhyJ5HAtV7zeB+7AkbBdNX69O7SblsMjlbV9P8nHRalk9tCHDVp5g/5UYhq0K4/s+NWlXLe/bfYjxoVwuhsQ0hNF3nxcEQRAKAfuSWTvXe9SE5NisnetvHizwNGydLKj3RhkCPven09iauFW3RKfKxOaxC2Eb7xEy6QDbl5zl9oU4ZH3u3/CwMtOwJLAuHfye7Fx/kp+O3VawJ4KpEIWQIAiCYBhrFwj8HUo1gfTHsKobXNpqlFQklYR3ZSfeHOlP+4/Lc7rSDmKs7qDXyVw5Hs1v34Wz8qPDHPvjBumpmbk6h7lGzQ99atOrrjd6GSb9fJol+68r3BPB2MRbYwYSd43lrZ1J3hWTz0ypz+KuMeWPKbbjQ20Jvdai3jgE1ZVtyOv6oes4F7namwaHULq/pZ29+Xjw24zYPYLH9zKoEducynENeBybytHfb5CWkkGDzmVync/nnSpja6FmyYGbTPvjArGJqYx7rXyO1jES40O5XAwl7hrLI3HXmCAIwotJcia1bi3B++EhZCROewVws8TrRs0pSZ/EiqQV3NXdxUpnTb/oMahvumHmmIlrw5RXB3iFHXclNkdkrVvU2E3Pm2X0qJRZ01HIB+KuMYWIu8aKyV0x+cCU+izuGlP+GDE+AFmPavsHqI8vAUDXfDL6xuNfuVlrfvY3KSOJcX+N4/j945RI9aJ72EQ0ZioGzmiESv3feeUkn7XHbvPJ7xeQZfifnzszuldDq371LBMxPpTLxVDirjGFibvGivhdMfnIlPos7hpT/phiPz7emAnWzrDva9T7pqNOS4A200D16uIgP/rroHVgQesFTNw3kb0Re0lXpUK6BYmx6TiXfPmOqobkM6BRWRytLRi3LpzNZ6JIStcxr18dLM0MW+FajA/lcjEkpiHEZGlBEAQh9yQJWn4Abf/ZBPtIMPz2NuhyN0FZCeZqc2a1mEXH8h2Jscm60+vXI9sVi9+xhidLAutioVWx59IDBiz7m/iUQjC/S/hPohASBEEQ8s5/JHSZD5IawlfD+kDISDVaOhqVhs8bf46LT9ZVoGOnzzA/fP4rt3QyVItKrqwKaoCthYZjNx/SZ9ERHjxOUyS2ULDEW2MGEneN5a1doborRiGm1Gdx15jyx4jx8R+q9kDSWKPeOATp4mb0q99E9+YKMH92j4qC7G+7ui3YffYSJZK8mXdqNg9THvJunXdRSU9t2ZHLfGqUtGX14HoMWn6C85EJ9FhwiNCBdSjpYPlcWzE+lMvFUOKusTwSd40JgiDkjsvj8zS4PgeNPpWHVmU5XO5dMjTG2bArM0ki6i8bZEnP4voT0Kt01NTWpKtVV9RS3neuB4hOgfkX1MSlSTiYyYyoosNd/LowOnHXmELEXWPF/K6YPDClPou7xpQ/RoyPl5PunUT9Y2+klDhkl0pk9tkAdllbVBRkf2VZZsX7R0hLzqREv0S+vPExOllH85LN+arJV5irzRXJJzI+lUHLT3DtQRKOVlqWDqiNX0n77K+L8aFcLoYSd40pTNw1VozviskjU+qzuGtM+WPE+HiBUg2ytuRY2RUp5hLaFW/AgE3gXC67SUH117WULbcvPMRXrsOclnN4d++77Lu7j9H7RvN9y+8x15rnOR8fFy3rhzdiUMhRTt2JJ2DZcZYE1sO/3LObtYrxoVwuhsQ0hJgsLQiCIOQP18oweCs4lYX4CFjWDqLOFHgaJUplXQ14cCuBFt4tWNB6AdZaa45FHSNoexAPUx8qch4nazNWD21Io3LOJKXrCAw5yo7z9xWJLeQfUQgJgiAI+cexFAzeBm5+kBQNIW8g3f67QFNw+6cQun/rMQD13OuxtO1SHM0dOR97nqCdQTzSP1LkXDbmGpYNrEcbXzfSM/UMX3WCn0/cUSS2kD9EISQIgiDkLxtXGLgZvBtCWjzqNW/imnC6wE5folTWRO24e0lkpusAqOpcldD2obhZuXEz4SaLHy/mVsItRc5noVUzr19t3qzjhU4v8+76U4QeVia2oDwxR8hA4vb5vLUrMrcH54Ap9VncPq/8MWJ85JDGGvr8hPrnwaiu7aTB9dlknC5PRnXDN2vNLXMbFZa2WlIeZxB18xFuZbKuEHlbebOs9TJG7BpBRGIEg3cMJrhlMJWdKity3i86VcHGTEXo4Qi++PMSbb1UvJ6enue4xW185Ja4fT6PxO3zgiAIypP0mdS+tQivR0eQkTjlHcgtl1b5ft6Y45akPtDgUCUVm9LP/oJM1CeyPGk5kbpIzDEnwCaA0prSipxXlmH7XYk/b2fdqt/MXU/X0mKz1oIgbp9XiLh9XtwenFum1Gdx+7zyx4jxkXsZaancDx1AmZjdAOhafIi+0ZhXbtaaF8f/vMXJLRFUqO9Ky4BKz+aTkcHv23/nD+0fhMWEYa42Z0aTGTQt2VSx8y8/dINpW64A0Km6B191q2rQZq3/pbiNj9wSt88rTNw+L24Pzi1T6rO4fV75Y8T4yJ3TXoH4VKqJ+uAs1HunoU6Ph9af51sx5FHWAYggJiLxP19jC8mC4FbBTD40mX139vHuX+8yrck03ij7hiLnD2xUhltXLrL2uobfTkeSlK4juF9tLLS5X9SxuI2PnBK3zwuCIAimS5LQt/gga6d6gEM/5Otmra7/3Dn28H4y6an/fQ4LjQWzW87mjbJvkClnMnn/ZNZeXKtYDnVLyMzrWxNzjYpdF6MZsOwoCalFeF5YISEKIUEQBMF4Gr0DneaCpIKwVbBhIGQqv3mplZ0ZNo7mIMODiMcvbKdVafmyyZf0rdwXGZkv//6SBacWKLZZa8tKJVgxuD625hqO3oijz6IjxCSKzVqNSRRCgiAIgnHVDoAey0FtBhd+h9U9IO3FxUpuPbkqFH3r5bFVkor367/PiBojAAgOD2bGsRnoZb0ieTQo68zatxribG3GuXsJ9FxwmLuPUhSJLeScKIQEQRAE4/PtBP3Wg9YabuyDFZ0hOU7RU7iWzlpPKPpWwivbSpLEyJojeb/++wCsurCKjw5+RKZembfuqpW0Z/1wf0o6WHI9Jok35x/ianSiIrGFnBGFkCAIgmAayraAwN/B0hHunoCQ9pBwT7Hwrj6GXRF6Wr8q/fiyyZeoJTW/XfuNcXvHkaZT5q2ssiVs2DDCn/KuNkTGp9Jz4WFO33mkSGzBcOKuMQOJBRXz1q5YLBj3L6bUZ7GgovLHiPGRey/tr1t1CNiMZu2bSA8uIi9tS2bfDVn7leWRg6cFAAkPUkiMT8bcSvvqfIB2Pu2wVFny3oH32Ht7L8O3D2dW81nYaG0MPveLzuFipWH14LoMWXmSM3cT6LPoCAv716JBGaccx8prLkoeIxZULALEgoqCIAjGY5n2gEbXZmCTdp9UjT2Hy00kwconz3Ej91mjS1bhUi8ZCxddjo69nnGd1UmrSSMNT7UngdaBWKus85wTQKoOllxUcSVBhUaSGVhRj5+T+PWcF2JBRYWIBRXFgnG5ZUp9FgsqKn+MGB+5Z3B/E6PR/NgL6f4ZZHM7dL3WIHs3zNO5d4Zc4PrJGOp1LE2tNt45ywc4H3eet/e8zaO0R5S2K828lvNwt3Z/5XkNOUdaho5x68+w40I0apXE9C5V6VrLM1ex8ppLXo8RCyoWQWJBRbFgXG6ZUp/FgorKHyPGR+69sr+OJbM2a13bGyniMJo1PaDXSqjQOtfndC/jwPWTMcTeTnru3Ia8/jXcarC8/XKG7RjGzYSbDN45mEWtF1HGvoxB53/ZObRaLfP71+H9X86w4cQdJv1ylsR0PYOb/Hfs4jY+ckosqCgIgiAUfpYO0P8XqNAGMlNgbW84syHX4VxLGX7n2IuUtS/LinYrKG1XmqikKAZuHcj52PO5jvc0jVrFjO7VCfqn+Pls83lmbb+k2DpGwvNEISQIgiCYNjMr6LUaqr0J+kz4eQgcW5KrUCV8bEGCxIdpJCfkfid4DxsPlrdfThWnKsSlxjF422CORx3PdbynqVQSH75RhQltKgLw/e6rfPLbOfR6UQzlB1EICYIgCKZPYwbdFkO9IYAMf7wLf32Ttb17DphZaHB0y7rxJS9XhQCcLJxY1nYZdd3qkpSRxPCdw9l3e1+eYj4hSRJvt6rA512qIUmw4vAtxv0UToZOmUUdhf8nCiFBEAShcFCpoMNMaDYx6/HuabD9Q9DnrDhwLf3PekI381YIAdiY2TD/9fm08GpBmi6NMXvGsPn65jzHfSKgYSnm9KqJRiXxa/g9hq08QUp6zu52E15OFEKCIAhC4SFJ0OpDaDs96/HhuTnerDV7ntBL9hzLCQuNBbNazqJTuU7oZB2T909m9YXVisQG6FyzJIsH1MVCq2L3xWgGrzhBcv7sTVssiUJIEARBKHz8R0KX+SCpIXw1rA+EjFSDDn16zzGlJiFrVVo+b/w5/av0B+Cro18xP3y+cpu1VnZlZVADbC00HL/1iLnn1GKzVoWIQkgQBEEonGr2zbqdXm0OFzfD6jcN2qzVxcsGSSWRkpBO4kPligmVpGJSvUmMqjkKgHmn5vHV0a8U26y1Xmkn1r3lj4uNGXeTJXovPsbtuGRFYhdnohASBEEQCq/Kb0D/DWBmAzf3w/KOkBT70kM0ZmqcPLNWhH6Qg33HDCFJEsNrDOeDBh8AsObiGqYcmEKGXpktJHw97fhxSH2czGVuxSXTY8FhrtxXtg/FjVhQ0UBir7G8tStueymBafVZ7DWm/DFifOSe4v318kfqtxH1j72Q7oUhL/tnfzK7ki88pIS3DbF3Eom8/gj3StbK5gO8We5NrNXWfHL4EzZf38yjlEe8Jr+myDk87bSMqapj5W17rj5IoseCwywZUJsaXvYGHV/Yxkduib3G8kjsNSYIglC42KTeo9HVGVhmxJGsdeZQ+UkkWXj8Z9vECC2Pzllg7pxJifop+ZbTpYxLrE1aSyaZlFaXpr9NfywkC0ViJ2XAwotqbiVKmKlkhlTWU8le/Ep/Quw1phCx15jYSym3TKnPYq8x5Y8R4yP38rW/8XfQrOmOFHcN2cqFzN7rwKPGc81ibifyy4wwzK009Pm8Djt37sy31/9k9EnG7B1DUmYSlRwqEdwqGCeLF+8u/ypPv37peomRa8M5dC0OrVpido/qtK3qZvDxhWF85JbYa0xhYq8xsZdSbplSn8VeY8ofI8ZH7uVLf13KwOBtsLo7UuQptKu7Qp8foXTjZ5q5+tij0kikJWeSGq/Lv3yABiUbsPj1xQzdNpRLjy4RtDOIRa0X4Wnz/IaqOaHVarHSagkZVJ9x68L580wUo9ed4qtu1elZz9ug4wvT+MgpsdeYIAiCUDzZlIDAzVCqCaQlwKpucGnrM03UGhUuJW0A5dYTepnKTpUZajMUD2sPbiXcYsCWAVx/dF2R2OYaNT/0qU2vut7oZZj082kW/XVNkdjFgSiEBEEQhKLHwi7rbrKK7SEzFX7sC6fWPdPkyQrTMRGJBZKSi9qFkNYhlLMvx/3k+wRuDeRczDlFYqtVEl9192NY87IAfPnnRWZsvSg2azWAKIQEQRCEoklrmbXOUPXeIOtg41twZEH2l5+sMP2gAK4IZZ/TypXQdqH4ufjxKO0Rg7cN5u/IvxWJLUkSk9tX4f32lQGYt/caH2w8i05s1vpSohASBEEQii61NmsF6gbDsx5vfQ/2TAdZzl5hOuZ2Uk73bs0TBwsHFrdZTAOPBiRnJjNi5wh2RexSLP7w5uX4qpsfKgnWHo1g9I9hpGeKzVpfRBRCgiAIQtGmUkG7r6DllKzH+76CLe/h6GqBxkxFRpqOzKSC/XVorbVm3mvzeN3ndTL0GYzfO56NVzYqFr93fR/m9q2NVi3xx+lIgpYfIzldbFD2X0QhJAiCIBR9kgTNJ2XtXg9wdCGq30dSwjtrwnR6fMH/OjRTm/FN82/oVqEbelnPx4c+Zvm55YrF7+DnwbKB9bAyU7P/Sgz9lvzNo+R0xeIXFaIQEgRBEIqP+kOh2xJQaeD0OlxTDwCQEa82SjoalYap/lMZVHUQADOPz+T7k98rNsm5aYUSrBrSAHtLLWERj+i18Aj3EwzbnLa4EIWQIAiCULxU7wG914DGghKJWXNzMh4ZLx1Jkhhfdzxja48FYPGZxXx+5HN0ep0i8Wv7OLJ+uD9uduZcuv+Y3kuOESNqoWyiEBIEQRCKn4ptIWATXja3aGE3j9esZ0NitFFTCvIL4hP/T5CQWH95Pe/vf58MnTJ7cFV0s2XD8EaUdrbizsMUvjur5mKU2KwVRCEkCIIgFFel/LEesgrfEuGU0R9Bs/J/8PCWUVN6s+KbfNP8GzQqDVtvbuWd3e+QnJGsSGxvJyvWD29EZXdbEjIk+i49xvGbcYrELsxEISQIgiAUXx7VyRywmWQzF6S467CsHURfNGpKbUu3JbhVMJYaSw7eO8hbO94iPi1ekdglbM1ZPbguZWxlHqdm0n/p3+y9ZNwrYcYmCiFBEASheHMqx/4KHyK7VILH9yCkHdw5YdSUGpVsxOI2i7Ezs+PUg1MM3DqQB8kPFIltZ6llZBUdzSu6kJqhZ8jy4/wafleR2IWR2HTVQBkZGWg0muzPlYiXl1i5OT6nxxja3pB2ee1vYWRKfS6IXJQ8hxgfRZup9TcjI4NUMydS+vyCxc8DUN07gby8I7oeK5HLNFPsHE//awhfB1+WvL6EkXtGcvXRVQL+DGBeq3m4W7jnONa/czFTw/c9qvLh75f4/XQUY9eF8zApjX71/3uzVmOOj9wyNKYki41I/lNwcDDBwcHodDouX77MmjVrsLKyMnZagiAIQj5S61Kpf+M7XB+fQydpOFF6BJEO9YyaU5wujtCkUOL0cdhINgy0GYi72l2R2HoZfrmhYv/9rDeIOnjraFNSRpIUCW9UycnJ9O3bl/j4eOzs7F7YThRCr5CQkIC9vT0xMTFYWlqyY8cOWrdujVarzVPcjIyMPMXKzfE5PcbQ9oa0y2t/CyNT6nNB5KLkOcT4KNpMrb/P5ZOZhvrX4agu/o4sqdB1mIVcs7+y58ihmJQYRu0ZxZVHV7DV2tLHvA9B7YMUGR+yLPP97mvM3XsdgIH+PkxuVwmVSnrhMTk9R17b5UZCQgIuLi6vLITEW2MG0mq12d+kpz9XMm5BHZ/TYwxtb0g7JV+7wsKU+lwQuYjxkft2pvSzUhBMrb/Z+Wi10HM5bB6LdHIFmj/GQnoCNB6j3DlyyEPrQWj7UN7e9TZh0WGEZITg98CPFqVaKJLLhHZVcLKx4LPN5wk9HMHjND1fd/dDo1a98JicnkOJdjlhaDwxWVoQBEEQ/k2lho7fQ+OxWY93fAw7PqFAd2f9FzszOxa2Xkhjj8ZkkMG4fePYcmOLYvEHNynDrJ41UKskfj55h+GrTpKaocyijqZMFEKCIAiC8F8kCVp/Cq9/mvX44Bz4fTQotOJzblhqLJnVfBbVtdXJlDN576/3WHdxnWLxu9X2YmH/OphpVOy8cJ/AZUd5nGoak9rziyiEBEEQBOFlmozNujokqeDkCtgwCDLTjJaOVqXlTas36VGhBzIy0/6exqLTixTbn+x1XzdWDK6PjbmGv2/E0WfxEWKTiu5mraIQEgRBEIRXqRMIPUJBbQbnf4U1vSAt0WjpqCQV79d9n2HVhwHwQ9gPfHP8G/SyXpH4Dcs68+NbDXG2NuPs3QT6LD5KnPFqv3wlCiFBEARBMIRvZ+j7E2it4foeWNEZko23RYUkSbxd620m1ZsEwMrzK/no4Edk6jMViV+tpD3rh/tT0sGSG7HJfHdWzbUHSYrENiWiEBIEQRAEQ5VrCYG/g6Uj3D0OIe0h4Z5RUwrwDeCLJl+gltT8du03xu8dT5pOmcs3ZUvYsGGEP2VdrHmULtFnyVFO33mkSGxTIQohQRAEQcgJrzowaCvYesKDi7C0LcReM2pKncp1YnaL2ZipzNhzew8jdo4gMV2Zt+487C1ZO6Qe3tYyD5Mz6LPoCIeuxSgS2xSIQkgQBEEQcsq1MgRtA6dyEB8By9pC5GmjptTSpyULWi/AWmvNsahjBG0PIi5VmbfunKzNeLuqDv+yTiSl6xi47BjbzkUpEtvYRCEkCIIgCLnh4AODt4K7HyQ9gNA34NYho6ZUz70ey9ouw8nCifOx5wncEkhkYqQisS3UsLh/LdpWdSNdp2fEqhP8dPy2IrGNSRRCgiAIgpBbNq4w8A/waQRpCbCyK1zeZtSUfJ19Wd5uOR7WHtxMuEnAlgCux19XJLa5Vk1w39r0rOuFXoZJG06zZL8ysY1FFEKCIAiCkBcW9hDwC1RsB5mpsLYPnP7JqCmVti/NivYrKGNfhvvJ9xm4ZSDnYs4pElujVvF19+q81awsANP+uMCMrRcVW8eooIlCSBAEQRDySmsJvVZB9V4g6+CXofD3QqOm5G7tzvJ2y6nmXI2HaQ8ZvG0wRyOPKhJbkiQ+6FCF99pVBmDe3mtM2XQWnb7wFUOiEBIEQRAEJai10GUBNBie9XjLJNgz3aj7kzlaOLKk7RIauDcgOTOZ4TuHs+f2HsXij2hRjund/JAkWPN3BKN/DCM9U5lFHQuKKIQEQRAEQSkqFbT7Clp8kPV431dZBZFCKz7nhrXWmuDXg3nN5zUy9BlMPDCRE2knFIvfp74PwX1ro1VL/HE6kqDlx0hOV2ZRx4IgCiFBEARBUJIkQYv3oP03WY+PLkL920gk2XjFgbnanJnNZ9KtQjf0sp6NKRtZdWGVYvE7+HmwbGA9rMzU7L8SQ2DoCZIKyV6tohASBEEQhPzQ4C3otgRUGlRnN1D/+neQkWy0dDQqDVP9pzKgygAAZoXN4ruT3yk2yblphRKsGtIAe0st4bfj+eGcmvsJqYrEzk+iEBIEQRCE/FK9B/Reg6yxwD3hFOq1PSHlkdHSkSSJsbXG0saiDQBLzizh8yOfo9PrFIlf28eR9cP9cbM1JzJFovfio9yMMe39yUQhJAiCIAj5qWJbdH03kKG2QnX7CIT+DxKjjZpSM4tmfFj/QyQk1l9ez3v73yNDp8x7WRXdbFk7tB4u5jJ3HqXy5oLDnL+XoEjs/CAKIUEQBEHIZ7J3Qw6U/wDZ2hXun8nakuPhLaPm1K18N2Y2n4lGpWHbzW28vfttkhV6687b0Yox1XRUdrclJjGNXosOc+ymMtt9KK3IF0KPHz+mXr161KxZEz8/PxYvXmzslARBEIRiKMHKh8wBm7O25oi7nlUM3T9v1JzalG5D8GvBWGosOXTvEEN3DCU+LV6R2HZmsHpwXeqVduRxaiYBS/9mz0XjXgn7L0W+ELKysmLfvn2Eh4fz999/M336dGJjY42dliAIglAcOZWFwduhRBV4HAkh7eH2MaOm1MizEUvaLMHOzI7TD04zcOtAopOVKVjsLLWsGNyAlpVKkJqhZ+iK4/wafleR2Eop8oWQWq3GysoKgNTUVHQ6XaFdBlwQBEEoAuw8YNCf4FUPUh/Bis5wbbdRU6peojrL2y3H1dKVq4+uMmDLACISIhSJbWmmZtGAunSp6UmmXmbsunBWHL6pSGwlGL0Q+uuvv+jYsSOenp5IksSmTZueazNv3jzKlCmDhYUFderUYf/+/Tk6x6NHj6hRowZeXl5MmjQJFxcXhbIXBEEQhFywcoKATVCuFWQkweqecG6TUVMq71ieFR1W4GPrw93EuwzYMoBLcZcUia1Vq5jVsyaB/qWQZfj413N8t/OKSVyYMHohlJSURI0aNZg7d+5/fn3dunWMHTuWKVOmEBYWRtOmTWnfvj0REf9fqdapU4dq1ao993Hv3j0AHBwcOHXqFDdu3GDNmjXcv3+/QPomCIIgCC9kbgN9fgTfLqDPgPUD4USoUVMqaVOS5e2XU9mpMrGpsQzaOogT95VZhVqlkpjaqSpjX68AwOydl5n25yWMvT2Zxrinh/bt29O+ffsXfn3WrFkEBQUxZMgQAObMmcO2bduYP38+06dPB+DECcO+SW5ublSvXp2//vqLHj16/GebtLQ00tLSsh/Hx2dNGouLi8PCwoLk5GRiY2PRarUGnfNFMjIy8hQrN8fn9BhD2xvSLq/9LYxMqc8FkYuS5xDjo2gztf4afXy0/AaVzhL16TWwYTS6+3fQ1x+etUJ1PuT7quMlJL6p+w3vHXyPMzFnGPLbED6u9zGpyamKjI+AWs5oMpOZse0KofsucspZT916D7CyMM9xX17m8ePHAK++6iSbEEDeuHFj9uO0tDRZrVbLv/zyyzPtRo8eLTdr1sygmFFRUXJ8fLwsy7IcHx8v+/r6yqdOnXph+08++UQGxIf4EB/iQ3yID/FRBD5u37790jrB6FeEXiYmJgadToebm9szz7u5uREVFWVQjDt37hAUFIQsy8iyzNtvv0316tVf2H7y5MmMHz8++7FerycuLg5nZ2ckSaJevXocO6bMDP+8xsrN8Tk9xtD2r2qXkJCAt7c3t2/fxs7OzuDzF3ZK/rzkRUG9/mJ85K5dcRwfpjI2niiIfJQ6hxI/L4VpfOSWLMs8fvwYT0/Pl7Yz6ULoCelflwdlWYd9L9AAABD8SURBVH7uuRepU6cO4eHhBp/L3Nwcc/NnL885ODhkf65WqxX7jyqvsXJzfE6PMbS9oe3s7OyKzX/0oOzPixLy+/UX4yNv7YrT+DC1sVEQ+Sh9jrz8vBTG8ZEb9vb2r2xj9MnSL+Pi4oJarX7u6k90dPRzV4kKyqhRo0wmVm6Oz+kxhrZX8nUpSorb6yLGh3K5FHWm9poURD6m1GcxPv6f9M/cHJMgSRIbN26kS5cu2c81aNCAOnXqMG/evOznfH196dy5c/ZkacH0JSQkYG9vT3x8vEn9FVhciNfftInvj5AT4udFWUZ/aywxMZGrV69mP75x4wbh4eE4OTnh4+PD+PHjCQgIoG7duvj7+7No0SIiIiIYPny4EbMWcsrc3JxPPvnkubcdhYIhXn/TJr4/Qk6InxdlGf2K0N69e2nZsuVzzwcGBhIaGgpkLag4Y8YMIiMjqVatGrNnz6ZZs2YFnKkgCIIgCEWN0QshQRAEQRAEYzHpydKCIAiCIAj5SRRCgiAIgiAUW6IQEgRBEASh2BKFkJBjf/31Fx07dsTT0xNJkti0adMrjwkNDX1mYcqnGRpDgPnz51O9evXshdT8/f3ZsmXLS48Rr33+MWQsyLLM1KlT8fT0xNLSkhYtWnDu3LmXxp06dSo1a9Z87vmbN28iSVKOFokVTMfUqVORJOmZD3d392faiJ+XgicKISHHkpKSqFGjBnPnzjV2KsWOl5cXX331FcePH+f48eO0atWKzp07v/I/SiF/GDIWZsyYwaxZs5g7dy7Hjh3D3d2d1q1bZ28IKRQvVatWJTIyMvvjzJkzz3xd/LwUPFEICTnWvn17pk2bRrdu3RSP/V9/MUmSlL2UQnHXsWNHOnToQMWKFalYsSJffPEFNjY2HDlyJM+xxWufc68aC7IsM2fOHKZMmUK3bt2oVq0ay5cvJzk5mTVr1uT5/AMHDvzP79nevXvzHFvIHxqNBnd39+yPEiVKZH9N/LwYhyiEBJMyYcKEZ/5amjlzJlZWVtStW9fYqZkcnU7Hjz/+SFJSEv7+/nmOJ1575d24cYOoqCjatGmT/Zy5uTnNmzfn0KFDeY7/3XffPfM9GzNmDK6urlSuXDnPsYX8ceXKFTw9PSlTpgy9e/fm+vXr2V8TPy/GYfSVpYXiIz4+Hhsbm5e2sbGxyW5z5MgRPvzwQ5YvX061atUKIsVC4cyZM/j7+5OamoqNjQ0bN27E19f3pceI1944nuyT+O+9Ed3c3Lh169ZLjz1z5sxz37N/L/tmb2+fvankL7/8woIFC9i5c+dz804E09CgQQNWrFhBxYoVuX//PtOmTaNRo0acO3cOZ2dn8fNiJKIQEgqMra0tJ0+efO75ChUqPPdcREQEXbp0YcKECfTs2bMg0is0KlWqRHh4OI8ePeLnn38mMDCQffv2vbQYEq+9cUmS9MxjWZafe+7fKlWqxG+//fbMc3fv3qVFixbPtQ0LC2PAgAEEBwfTpEmTPOcr5I/27dtnf+7n54e/vz/lypVj+fLljB8/Pvtr4uelYIlCSCgwKpWK8uXLv7JdUlISnTp1wt/fn88++6wAMitczMzMsl/HunXrcuzYMb777jsWLlz4wmPEa28cT/7SjoqKwsPDI/v56Ojo5/7q/7env89PaDTP/5cdFRVFp06dCAoKIigoSIGshYJibW2Nn58fV65cAcTPi7GIOUKCSZFlmf79+6PX61m5cuUr/woSsl6ztLQ0ReKI115ZZcqUwd3dnR07dmQ/l56ezr59+2jUqFGe46emptK5c2cqV67MrFmz8hxPKFhpaWlcuHAhu+gRPy/GIa4ICTmWmJjI1atXsx/fuHGD8PBwnJyc8PHxyVPsqVOnsnPnTrZv305iYiKJiYlA1nvblpaWeYpdFHzwwQe0b98eb29vHj9+zI8//sjevXvZunVrnmOL1z7nXjUWJEli7NixfPnll1SoUIEKFSrw5ZdfYmVlRd++ffN8/mHDhnH79m127drFgwcPsp93cnLCzMwsz/EFZU2YMIGOHTvi4+NDdHQ006ZNIyEhgcDAQADx82IkohAScuz48eO0bNky+/GT97YDAwPzfKv1vn37SExMfO6vn5CQEAYOHJin2EXB/fv3CQgIIDIyEnt7e6pXr87WrVtp3bp1nmOL1z7nDBkLkyZNIiUlhZEjR/Lw4UMaNGjA9u3bsbW1zfP59+3bR2Rk5HPzw/bs2fOfc0ME47pz5w59+vQhJiaGEiVK0LBhQ44cOUKpUqWy24ifl4Indp8XBEEQBKHYEnOEBEEQBEEotkQhJAiCIAhCsSUKIUEQBEEQii1RCAmCIAiCUGyJQkgQBEEQhGJLFEKCIAiCIBRbohASBEEQBKHYEoWQIAiCIAjFliiEBEHIk9DQUBwcHPItfunSpZkzZ06+xRcEoXgThZAgFHEDBw5EkqTnPtq1a6dI/F69enH58uXsx1OnTqVmzZo5jvOigurYsWO89dZbecjw1fbu3fufr9GHH36Yr+cVBMH4xF5jglAMtGvXjpCQkGeeMzc3VyS2paVlvm7KWqJEiXyL/W+XLl3Czs4u+7GNjc1zbXQ6HZIkoVKJvyMFoSgQI1kQigFzc3Pc3d2f+XB0dASyroaYmZmxf//+7PbffvstLi4uREZGAvDo0SPeeust3NzcsLCwoFq1amzevBl49kpOaGgon376KadOncq+qvJk89FZs2bh5+eHtbU13t7ejBw5MnuH+7179zJo0CDi4+Ozj5s6dSrw/FtjERERdO7cGRsbG+zs7OjZsyf379/P/vqTK1IrV66kdOnS2Nvb07t3bx4/fvzK18nV1fWZ18jGxia7f5s3b8bX1xdzc3Nu3bpFeno6kyZNomTJklhbW9OgQQP27t37TLzQ0FB8fHywsrKia9eufPvtt89c9Ro4cCBdunR55pixY8c+swGmLMvMmDGDsmXLYmlpSY0aNdiwYUP2159czdq1axd169bFysqKRo0acenSpWfi/vbbb9StWxcLCwtcXFzo1q0bAJ999hl+fn7PvRZ16tTh448/fuVrJgiFnSiEBKGYa9GiBWPHjiUgIID4+HhOnTrFlClTWLx4MR4eHuj1etq3b8+hQ4dYtWoV58+f56uvvkKtVj8Xq1evXrz77rtUrVqVyMhIIiMj6dWrFwAqlYrvv/+es2fPsnz5cnbv3s2kSZMAaNSoEXPmzMHOzi77uAkTJjwXX5ZlunTpQlxcHPv27WPHjh1cu3Yt+xxPXLt2jU2bNrF582Y2b97Mvn37+Oqrr3L9GiUnJzN9+nSWLFnCuXPncHV1ZdCgQRw8eJAff/yR06dP06NHD9q1a8eVK1cA+Pvvvxk8eDAjR44kPDycli1bMm3atByf+8MPPyQkJIT58+dz7tw5xo0bR//+/dm3b98z7aZMmcK3337L8ePH0Wg0DB48OPtrf/zxB926deONN94gLCwsu2gCGDx4MOfPn+fYsWPZ7U+fPk1YWBgDBw7MxaslCIWMLAhCkRYYGCir1WrZ2tr6mY/PPvssu01aWppcq1YtuWfPnnLVqlXlIUOGZH9t27Ztskqlki9duvSf8UNCQmR7e/vsx5988olco0aNV+b1008/yc7Ozi+M80SpUqXk2bNny7Isy9u3b5fVarUcERGR/fVz587JgHz06NHs81tZWckJCQnZbSZOnCg3aNDghbns2bNHBp57jWJiYuSQkBAZkMPDw7PbX716VZYkSb579+4zcV577TV58uTJsizLcp8+feR27do98/VevXo908fAwEC5c+fOz7QZM2aM3Lx5c1mWZTkxMVG2sLCQDx069EyboKAguU+fPs/kvnPnzuyv//HHHzIgp6SkyLIsy/7+/nK/fv1e2P/27dvLI0aMyH48duxYuUWLFi9sLwhFiZgjJAjFQMuWLZk/f/4zzzk5OWV/bmZmxqpVq6hevTqlSpV65q2o8PBwvLy8qFixYp5y2LNnD19++SXnz58nISGBzMxMUlNTSUpKwtra2qAYFy5cwNvbG29v7+znfH19cXBw4MKFC9SrVw/IejvN1tY2u42HhwfR0dGvjL9///5njnvy9qGZmRnVq1fPfv7kyZPIsvzca5KWloazs3N2rl27dn3m6/7+/mzdutWgvgKcP3+e1NRUWrdu/czz6enp1KpV65nnns7Pw8MDgOjoaHx8fAgPD2fo0KEvPM/QoUMZPHgws2bNQq1Ws3r1ar799luD8xSEwkwUQoJQDFhbW1O+fPmXtjl06BAAcXFxxMXFZRcnSkyEvnXrFh06dGD48OF8/vnnODk5ceDAAYKCgsjIyDA4jizLSJL0yue1Wu0zX5ckCb1e/8r4ZcqU+c871ywtLZ+Jr9frUavVnDhx4rm3CJ9MsJZl+ZXnU6lUz7V7+vV4kvMff/xByZIln2n378nuT/f5Sa5Pjn/V97Bjx46Ym5uzceNGzM3NSUtLo3v37q/MXxCKAlEICYLAtWvXGDduHIsXL+ann35iwIAB7Nq1C5VKRfXq1blz5w6XL1826KqQmZkZOp3umeeOHz9OZmYm3377bfbdVj/99NMrj/s3X19fIiIiuH37dvZVofPnzxMfH0+VKlVy0uU8qVWrFjqdjujoaJo2bfrCXI8cOfLMc/9+XKJECc6ePfvMc+Hh4dlFzZPJ2RERETRv3jzX+VavXp1du3YxaNCg//y6RqMhMDCQkJAQzM3N6d27N1ZWVrk+nyAUJqIQEoRiIC0tjaioqGee02g0uLi4oNPpCAgIoE2bNgwaNIj27dvj5+fHt99+y8SJE2nevDnNmjWje/fuzJo1i/Lly3Px4sUXrkVUunRpbty4kf2Wmq2tLeXKlSMzM5MffviBjh07cvDgQRYsWPDccYmJiezatYsaNWpgZWX13C/j119/nerVq9OvXz/mzJlDZmYmI0eOpHnz5tmTfwtCxYoV6devHwMGDODbb7+lVq1axMTEsHv3bvz8/OjQoQOjR4+mUaNGzJgxgy7/1979g6QWh2Ecf++gJCUFGioEBQ1GOLgGtdTgpKQRtEkQ1NCQ4qw0G0prEIW6Bg1B4NagqxDt0RBEFEVTSPjcqcO9eIXg/onb+X7gLHqOvP6mB94HXV62ZrPZtxZbXFy0crlstVrN5ubmrNFo2NXVlbP28vv9VigULJfLWa/Xs/n5eXt5ebF2u20jIyOWzWY/NG+pVLKlpSWbnp62tbU1e3t7s/Pzc6esbma2sbHhhMlWq/WHTgr4D3xqQwnAX5fNZmVmfVc0GpUk7e7uKhKJ6OHhwXnm9PRUXq9XnU5HkvT4+Kj19XUFAgENDQ0pFovp7OxMUn/J+fX1VSsrKxobG5OZ6ejoSJJUqVQUiUTk8/mUSCRUq9VkZnp6enKe3draUiAQkJmpVCpJ+rksLUk3NzdKpVIaHh6W3+/X6uqq7u7unPd/VdauVquanJwceEbvheMfZ3k3qMTd7XZVLBY1NTUlj8ejcDisdDqty8tL557Dw0NNTEzI5/MpmUxqb2+v77OKxaJCoZBGR0eVy+W0vb3tlKUlqdfraX9/X9FoVB6PR+Pj40okErq4uBg4e6fTkZnp+vraee3k5ETxeFxer1fBYFCZTKbvOy0sLGh2dnbgOQFf0TfpA4tsAMBvOz4+tp2dHXt+fv7sUfpIspmZGdvc3LR8Pv/Z4wD/DKsxAHC5+/t7q9frdnt7O7BHBHxVBCEAcLlQKGTBYNAODg6cnwwA3ILVGAAAcC3+YgMAALgWQQgAALgWQQgAALgWQQgAALgWQQgAALgWQQgAALgWQQgAALgWQQgAALjWd+OUzRPo23NhAAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def ratio_for_dkm(d, k, m, f_in):\n",
|
|
" f0 = (1 / (2 * math.pi) * np.sqrt(k / m)).to(unit.Hz)\n",
|
|
" lehr = lehr_dampening_factor(d, k, m)\n",
|
|
" return amplitude_ratio(lehr, f0, f_in)\n",
|
|
"\n",
|
|
"d = dampening\n",
|
|
"k = [\n",
|
|
" spring_constant,\n",
|
|
" spring_constant / 4,\n",
|
|
"]\n",
|
|
"m = [\n",
|
|
" weight_total,\n",
|
|
" 24 * unit.kg,\n",
|
|
"]\n",
|
|
"\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"for k_ in k:\n",
|
|
" m_ = m[0]\n",
|
|
" plt.plot(f_in, ratio_for_dkm(d, k_, m_, f_in), label=f\"{k_:~.1f}, {m_:~.1f}\")\n",
|
|
"for m_ in m[1:]:\n",
|
|
" k_ = k[0]\n",
|
|
" plt.plot(f_in, ratio_for_dkm(d, k_, m_, f_in), label=f\"{k_:~.1f}, {m_:~.1f}\")\n",
|
|
"\n",
|
|
"ref_thorlabs_f = [3, 4, 4.42, 5, 6, 7, 8, 9, 10, 40]\n",
|
|
"ref_thorlabs_r = [2, 5, 15.0, 4, 1.5, 0.7, 0.5, 0.35, 0.28, 0.018]\n",
|
|
"plt.plot(ref_thorlabs_f, ref_thorlabs_r, label=\"Thorlabs PTP702 (Passive)\")\n",
|
|
"\n",
|
|
"ref_thorlabs_f = [1, 1.35, 2, 3, 5, 9, 20, 27, 30]\n",
|
|
"ref_thorlabs_r = [2, 3, 0.9, 0.3, 0.1, 0.02, 0.009, 0.007, 0.0023]\n",
|
|
"plt.plot(ref_thorlabs_f, ref_thorlabs_r, label=\"Thorlabs PTS601 (Active)\")\n",
|
|
" \n",
|
|
"plt.legend(loc=\"upper right\")\n",
|
|
"transmissibility_plot_setup(plt)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "e5b06973-5038-4598-aaf4-73b55866ba75",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.13.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|