HiFiScan/chirp.ipynb

331 wiersze
297 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"plt.rcParams[\"figure.figsize\"] = (12, 4)\n",
" \n",
"import hifiscan as hifi\n",
"audio = hifi.Audio()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Spectrum measurement\n",
"analyzer = hifi.Analyzer(f0=20, f1=20000, secs=1, rate=audio.rate, ampl=0.4)\n",
"audio.play(analyzer.chirp)\n",
"async for recording in audio.record():\n",
" if analyzer.findMatch(recording):\n",
" break\n",
" if analyzer.timedOut():\n",
" raise Exception('Timeout')\n",
" \n",
"spectrum = analyzer.spectrum(smoothing=10)\n",
"plt.plot(*spectrum)\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Input stimulus x\n",
"plt.plot(analyzer.x)\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Output response y\n",
"plt.plot(analyzer.y)\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Transfer function H = X / Y, with X = FT(x), Y = FT(y) and FT the Fourier Transform\n",
"# f, H = analyzer.H()\n",
"f, H2 = analyzer.H2(smoothing=0)\n",
"H = H2 ** 0.5\n",
"plt.plot(f, H)\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Impulse response h = IFT(H), with IFT the Inverse Fourier Transform\n",
"t, h = analyzer.h()\n",
"plt.plot(t, h)\n",
"plt.grid()\n",
"audio.play(h / np.abs(h).max())"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Inverse impulse response h_inv = IFT(1 / H)\n",
"t, h_inv = analyzer.h_inv(\n",
" secs=0.05,\n",
" dbRange=24,\n",
" kaiserBeta=5,\n",
" smoothing=15)\n",
"plt.plot(t, h_inv)\n",
"plt.grid()\n",
"# audio.play(h_inv / np.abs(h_inv).max())\n",
"# hifi.write_wav('IR.wav', audio.rate, h_inv)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Correction factor that h_inv applies for every frequency\n",
"corrFactor = analyzer.correctionFactor(h_inv)\n",
"plt.plot(*corrFactor)\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/ot+EH2PW3Z/rD+KUV+bWSNN6pDD02dm6JfgJP63DFJtYwdE+M/4bHPTULADArVNXAJCdM43HvTJzM85/ayGmeF/Be94XAQBXfrDYNDh/uGCHKdbwhwvyoj5T54en45O/dyITcr9RjFRTOSLKOxwr/INFvltBwjLpFIMaufZGKrBKWT1auK0Ar87SE8s5mw/hyV9lXfDN7p9xnfs3LLHo33gy8ceaPTj5gSlq+Lv2RO5rcwq+wg6O2BsJD9/F9H3yT7R/8De4IpXoQfLQzGKiveVgGfo88Sd6PfaHad/2QxW6yX0IHgCAQM3EKCxJaEYK0YHsM+1zUL/RdcIM9H78j7jHRzuN/ot/bsaSvCL8tTHfcn/vx7U21uHB3zBY+f4dHBk4xLka2FNkXv6Mx2IZ7WP6dtkeDHvuL4x+eQ4m/LQObyhe24mg75N/4u6vV+EAZyH/8+fP8dQ71suBVrh16nKd8yIrcxYKMVKQB8GBk2aqsUg/W7SzWpa+vcVVuPKDxbjXpuN4b952W93gq7O2mCI27FMcqdiEYfbGA/jM+zQ+907C9LUHMHtTPto98BvOel0L8fT2nG04rAymsaxWi7bLlrTZvnvwve8xhEUJz/++CaNfmoPs8dNw5Qf2WePPeG0+Pv9nFw6U2kcaqClKA2Es3HrYdj+lFBHRLFtheH32VlvyBgDjXpuPu22sw4OfmoW+T/6J0a4VuLbyPd0+Jhso4yZIg5+eheHPz7a81kPKygbDq57Xsd5/DYIWkhseSxUnrXu/sXcWq2tM/WeXbrLHEIyIuOajJXF9Jy1wGFkoxECyEet9VyNUbE2eXp25Be0e+M1yXxL07YzV3Sszt5ic1ADguMf+wNO/aTKKx39Zj5Nfnqsjn15J6/OiOeQ2ITJxLlKkGmssYhE3JwVIJ5XYtH0nAOCf5Ry5DpRiSZ6+jLxV/MoPFuP9+Tt0+7s0SzfdIxgRMd07HpM9r6Fo2uP4w/d/2LxuGQAKonzrlMqSrwYoxyhhmY6MANaWvItds/G991EUlkZ/l8bJyMcL83QW7DDkCXtZuXksiYgUXkTQhBRHvYeDmkGUKIIRERN/XY/FOwrx44q96Pno7yajTHUQidNI8p1i6DIipBjOeIPDhwt2IHv8NAQjZqt2XY4tDsxwiHM1QCysk9E+k5LKMD5btNM0IBixu7AK2w/JFpDSQPUlEVXckuDH3mfxo++RmOeIEsV936xChUGCEBblJ/vR9wg+9D6PUETC4fIQtuSXQ5QoHv5xLU55ZS7GTp6HARP/xAtLA7j5c21ZeXdhpeUAxAbfzfllOP+thTqr+Kd/55n0kLHw9pztKnkCgGSFPLQncnIGJvXYuEcbhJ+evlFdzv7k7504/62FtpZN45wnLFLVoz4dFVi+eWdUYiqfU/MOmceG/aVYt08mJpe++w8uee8fFHLOZIUVIRRXyr/fm7cDHR+ajhKb5ftYWLO3BN9z1uFfV+9TrSUVIREeWLfXUS/OwbKdsVc8cjflI3v8NHz+zy7d9jNc8lJ6WNRff1dBJc59cwFKKsPYfLAM+Xt3IM9/CfpIG1QpVV1jw/5Sdfl9a34ZHvxhDa7j5EUMK/MOY+jWF3DFKz9aXsePILwII780gIX+2/GP/1bc6f4OySSI1QtnYGdBhemcl2daSxhyhJXY4L8GvYg2CQrF0e7enivHVg5GRDRCKVJRiRf+2KTuzxS17yaaw12mQpwrYG9I8ECus1QiTzIqyzXZyjcLzFEmrCalvBHCbRjFBkycibu+Woluwi6c6fobrSvWAgDe+Gku8vyX4n73V/I1AJQHI3jC8xHe976IroRre9RaWteYlMBHwvBb6I/5Jjd2sjxBb0UO4Q/vfcikhbpBwgX5nXiJ+XuMSBRehNW6dFD7OFQWRIcHf0OXh2fgvfk78J+3/8YTv65HeTCC0jikFnZohFKcIiyp0TUATcrhEjSu8cpMefWlIujIBI82HOJcA7Qj+9GDyNYPO0e8xTsK0fuJP/Dwj2sTuvbB0gCyx09DjoVlrrAiZDmYMsQjHwBkHfSMtQcwb8NePPTNEnyzzDz73XSgDMt2FqE5kcnPqBe0JaFL3l2k/r1uXykOl4ew9rCI39YcQEllGLsOV+DtFx/EOzP0Dk3fLtujLgVvP1SBpTuL8J+3/8augkpQSjEhhp7ZDnxChWTIluQQ3ABkLWIDlGOT/yrLc6f+swtLdxbhs392Wu43rhY8+ctahHcvx3nCXKzwXY81/mtx2xcr8P6MRbjr3WmglGL+FjmSgFvp/KzIXFgJt5cIvl++B/d9swqnvTpPHaCZZW/8d6tVHXq/J/9Enyf+BABMUiyK+0qqUBYI47kZG1EWCJsspKt2F+PHFXtVzawdbp26QmctaQit7r81tCOj7OcEYR08iKA1OYhOZA92F1biqg+X4GRhCRrDmiwEy0vxzQcvosVfN+NwWRVenbUFy3cV4/f1B3Dyy3MR3iGvQFzp/h29n/gDk6ZtwCd/56lL8We/sQAfGCyVNUFFMILTXp2HrhNmANCWXNfvL1XDyK3dW4IXft+EPct/xzXuGZjo+UB3jcPlQZQGwtjovxp/eO9X5RYA0IjI37BUsg8jns9FNtmP48j2qGVav68UAwSZ7I5yaVbcrzmZk90EB5D9BLo8PAMr/Dditu9uLNpegENlQWw/VI4mkkacZ26wz6TaAHJ9E44ltiYHcYqwBF6EIUkUbkacobS9iNYG04j2dyeyB/2JRt558N/SOzNlfwU2iTlcHtRpSCOKdbe9In04waUn59mKdONsl5ZcaXFeoeX3mqJMyPu0SFK3paMczVGg6yN2FVbiz/UHcYXrD3QW9uIsYb7OuMLegxcawdp4oBTvzt2Ou79aCS8iyCDlcCOCuZsPVVtGdaTBJGxW2FdchZnrD6qyvyOB8qC1IyxbNXZBVJ0wmdGBQh73flmlX+3JLwtYOpvzeNMzGW97X8aS9WbtenXA8WbVyhwrROG6fSWYG6fvgoPqwSHO1QAjpuPdX+Blz5sAgB9W7FXJbFFFSNVaLoiyfG4HAkl1PuM91hlOfGYWRjyfa9reDAVoQw7iuk/MVq8JP65F9vhpuuXizxbtwo2fLUOjL07HMxvGWJZl3Ovzcd5bmiyC7+j/2VEIP4IgkDBYWI9rXNPVfftLq7B/12ZM9HyIk1beCUopflixB4GwiHu/WaVqMXkMf362TnOYKMo4K30KkQe4sEKcAaAN0evF2pCDJiKxs6ASq/cUY9OBMryZu1UNPWccQ5dt2Y1ffA/jRe8UuIi8c/raA/jvolPw8t5LMGtDPi57/x+8M3e7umwXkSiemb4R/+XChz2yoArdHplh+0zXfbIU3Q377/56lW6SEwiLKjn/Y/1BfLQwD2WBMARIMK6FhEUJt33wFzosuAdnPv4xJj8/AZu5jvisNxbgzq9WYtBTs+QoGBNy8PXLd6v7jaSYpQXOIFq7euC7lbpjDnOplbuTPHzhnYQH3Z9jnu8u/Om7HxsPlCENlXjH+zLeVbS3Rrz15ypcsOsJdBb24urXf1NJO0uiISpdGbPkfbBgBx75aR1GvpALQCaFT/y6Hp0fno4bPjV/H3aoCEYw4ce1Ji2+cQA9XB6CGxFc4MrF27M3YcOew5j/1s24cMFYJK2RpVJJgv6cARNnYsgzfwEAsoWDaMW1z2ZEfq7QwU0QICHXdw9+8T2sO9+NCG5zfY90yG107pZDKKSybCELmpV/4rQN2FVQiaYownDBLGVpT/bhKtcM3PjpMqXNAE1IKXbt2olBT83ESS/OgVShXc8He2sa6x/47+pZ97t42/syznQtxIt/boKbyPuYxTnNpR2rkmkAf/rux3e+x3XX70j2oC05oJOArN26HVvzy9F1wgy13+Xvn5YsW78HCXoSHhEpAIrWSr13JbvQlezCu54X8EHuBh1xHu+eihc9byFTcerzKNrkBijHav/1+Nn3MEKihA5kL84VZBnbdZ8s1WQhkPsWrZ4iSjlFlAcjeGXmZpz6yjxM+m0DZm3MV8ufgTJc8cFiTJmzDRFRQkSUYk5qY2HboXKdA+PkWVuQPX5arURh6jphBq780Fq2NuTZv3DtJ0vx4A9rLI07EVHCr3/8HnPlLhZ2FVTijdlbERYl9Hz0d5yk9AEMC7cdVsfXKZ5XTMaUOZsO4ZRX5ur0+WFRwqBJsyydzRkkiaKDIJPt/Qf22x4HAD6EMMXzMnpaTIZ5B/xZG7Q+YSDZiDz/JSjcrpVrpLACK3zXqyusgLzacUUU6aCDmsMd+xAHdmhCitGKHIbcLRLklwXRtnEKrvpoCVbtLkaTNJ/JueVB9+fYKLWGZDNnGSsswhveyRi65VWkIxlBxYkEkEnKo6+/Dy9thQBSsHpPMYorw0jzu9G3TSMs8t8GAMgOTAWgJ7lbF/+GZb7JyHnlZSx58lx4XQKSEUA7sh89hby4n9mLCHwoQx9hGxZLXbHefw1eDp+HuzzfAQA+EE8DIM/Yw4eKcTyALqF1eGnmFkyetQUv/mFeYk5FJQLwIgI3TnpxDggkTHR/iF20Kd4WxwGQB8wymoyDyLAt27MzNKsM60iYE043shMNib6znuu7C1MjJ+HByLW67We+LlueWpF8PD8jE/8Z0BadslJ1x9zk/tl0/zRoA0+hIpF4mrMURUSK6XMXIEJduPQ9ESO7NMX+Cj2xXbu3BMt3FaFBkgdn9WmJfRsWYQzZi/X7TkT3Fun4zwMvoDmaYj8aq+cwqyfDn+sP4rkZG5HnvwwfR8YAOEO3/6yqn3COaz7Oc8nW6jNebQugvel5AOAEYT1mF/oAjAIga4jP799K3c/SAjfi6tYl6Zex35ityQbYO+hMNAL+8I9r0IDIEyZm/RsurMInXi2Jxpw12wGf/LdQugfZJAVnuxbglRXnQZ5q8sRZ/h4vc/2J9VJbAGOxxXc5Fko9cGV4vGqNXLevBJ2z0uBxad/iDZ8uxY7DFfj0qn7Y//IIvBi5AEU0FR+ne3HLSZ3V435aloen3e9iitI+L0hdjTsDjwIAPjjQFOH1WbjR/SsAoDUU6w8hOFwexLWuabjQlYuTQ8/Kkz1F1TDfd6d6/STFCtaOHMDxgiZbYsQWAIYJa3CP51tkCwdxT/gmPDN9I25xyZOUZkQvC5v81xb86bsPDYiZHP3u/T94iIjPS0ejBXfeicI6/CKdCACQImHAK29PRkAmJWQ7LnH9hYci14Aq9e9RSLGLK2dbQa7vdFRixtoDOE/Zx0hyI4+ZOPuhTbaaoggfL8zDlSdm40vvRGSSUtwyrQneUPZnoEyVej2lrKw0BOenIcjDXHeSBwAopclIJ5UIRkSkoxIZSpvMJCV43PMRjhc2or+4GXuK+6nXYO9yL5W/u9NLv8J/PIfxfkTu75qQEgx8fzFW+R5FA1KJWYF+KEGqzvL+4A9rAFD0IdvU78WLsJqpkIFAUkM5NiHFyKeNAAAdH9IME/PuH4nWGcmoDka9OAcdm6Zi5t0jAAAvKZFLhj03G3nPjK3WNXks2CqvVDRJ8+m284t2VrK1eT+9jzNW34u/Sp/BSeffVO37nz9lIfLLgmqkKz4qVn5pAJe8+w+aKmUb42KyQrnPAIA3Zpv9i9gkasZa+9WWSs6y/cvfa3H1mWZj1FUzKoAZ0zBU2IRTXUuwXOpoOuZgqdb2f1q5D5sPlqFxqg9numQDVsahJehOGqAUyXja8x4akXI0J+YsnAu3HcaJHTJty+ug+nCIc5xIRwUak1LsoM0BAJM9r6GfsFXdV4pUrNhVhGSvS41Besm75lBH17ujx268wi07qLQlB/C572kslTrjge87ommaD1NmrcMm/+P4W+yOi8MPqwSPIU8ZgN/0vIK1Uja+Ekeq+8a7v0BjUoZOZA+GPvsXLj2+LX70TkBnQdOtehBRLbTdyE5M8ryPVyPn4UxuCdOLCN73Po9ewg5cFnoAAHC2S3O4Gy6sgggBd3wpD1TnK33nZGUCsafI7Dy11n8tfhUH49bw7QCALBThUre8bP2JOAZ9hG34wjsJW6SWmBi5DIukbnjU/QneFM/CHtoErclBjBBW4zNxNFjnl6ISZ/l5PvM+hf20seneJwh6WQjr3DuQvZjluw9Phy/G20vH4cQO+nNvsSDOPQVNCiCKIoYJq7FC6ojewjYskI6DKFHM8cnW2xu234mPtmUDaAoA6Pjgb3jrsv661YKhHTMxzfcQACB78lDcOKIDvvY9CQA4JfgMNtE2IJAwyf0BPhdHYR1tBwCo2L0GS32TAABXumWpxmueycgiRVi0+jWkFB3QffntyAGspe0BUFzgmoNp4mC0JQfRmJQihQR1JAaQZS3XuX6FCBc+EE/Dj96H0UfQLCeNo2QMpMr74QnFwdIgeihEQlSW1f/LrV4A2vsEgJbkMN7yvIIWpBAiFdBL2I4vlbY+UNiEzb4rcG/4Rkz0fIhSmoSK4G1IISJGuFZjhLgKK6UOeHfudkz6bQPO6dsSd43ujDaNZRLCSPWDH/yK94Vt+NT7DADgx0NJCIQ7qFFY/pzxPT73zkYzUgjgvxhLtG+kbRqwIK8MvQzPHhSBsooqPOyRw4z5EUIVfLACszg2IuVoSzTZQXNoA2QrIhNyXsKRrkxAskgR7nR/i51SFk5yrcAny09GA5+1RZGRND9CaEs0YtBD2KkSZxcXkzuFBPHaX1vxhmcy2gr5eFM8E3uo3I6ZJZXJMQCZMAOypZoQokk1mCwjor1btq2voJGXxf5b0OHnTzG2V3PV4tvssCYTyyBlav/CSAc/ST5YHgFcUCdnKZxVm9cqZ5IS7JaayH+jBBMs5HUZiiTpPHEG4AK+E4ep+wgkdWIyQNiEWVJ/sJV2tzJZuMX1E+7zfI2tUgu5vohZOuPlrOVNSImlA83+kkDcxHlrfjnaZCTD6xbwqqKT3ZpfjrJAGGl+T4yzq4czX5+Pvx8YZbv/x5V70a253qlzzcrFGCkA4oHo2RRjgfmtzNxgjkjBfHjyDY7nSQiiSpnBbrdY9WTjQjQnZVHUXhTf/n5fdwA3fLoMf90zQt02VJDlRbw0Sb0Ol7MgJEpYpUjdTvfIbfWHdUX4zfes7hx+onq2MB+3uX/AqHdfQN4zstFk/pbDuOz9f/D7ncPRpZk5xrqDxOBINeLEd97HMNunhdo60/W3+ncLwqwdGzF28nyko0I3AGmI7bDESAf7EAYIm/HF4l14ddYWtdPuoRC0Fb7rcY/7a9zg+kWnMR0jLMOFrlykc9alJIX8vON9CckVu/HhrBU60gwA73leUC1a73lfQD9hKz72PqtaJgHZQtJLuX9/Ilsq2gnawP6J91l87n0agH5QYhbgCe5P8bHnGTRGCRqhVN1+hksbCNkAB8gEglmKOgl78bH3WQwR1uIS91940i1rRh93f4yJng/Rh3OISlakGkHqAUDRCOXoQswhA9uSfCz13Yg2CjnZU1SJS1yzMFaQJz39hc1oT/Zhy7ZtOEWwztDGkCOs1Opp9uP41PsM1vqvxefep5GOcp3k5W3vK3jVI9vMmqAYz7newF2fzNVd76LX+aQKFO/O0az1v/vGA5DlJ5e4/8JrntfUfU973lMJxn6agbKqEMa5FmGQsAnSwtfUGLIMnQTZ+tuF7MbznnfwkuctTPc9gM+U95hGqvCX92487JYlBw/+sAYPeabiEc+nAKiONAMyaYsF3r3WjYg60DDJRaWBUPIW7RakQP3m7vF8izGu5WrorkakHF4iYrJXrttSpGD9Pm1Z/2Pvs/jSO1HVfP+wYi+GPz8bU//ZpdNCBgv0Wve5q7ag64QZqrNlM8jPyCzdZW5tJaQwf49lumYKYNsOra48iNjKHtxE/g6TENBZk1oLmnaRWe3bkHz1u2Uk1QURd7q/x8vetzDOtQiPej6xvA+fZMOPILKV7+AwTVe/O7msWt2cIKzDvuIqlCAFANAUxeo+tsrF+i8XRJUcdGzsAYE2KUhTCGxJqVZXaahCSxzCA+6punKmowIDJmrfA8tQCMgT9LJAGMkIoDeRCXcjrj9kkzGmv2bSKgA4tYtM3vbRDDRGqRp/2ijrYkgi+tWUTkTrQ5kjMgD0E2SCyvpd1hePci0HADRVImZYvX+eONs5CBp1u9PX7LeMsf/jir0Y/dIcnKlEE+KdSo977A88/kv1/EliYX9JdDnJ23PMEoWQQjzLgzVzrLMC0zTb5VJIV1cLrfdHy1+wJK8Qb8/Zhl/XaJpoXro2bbXcLnhfj2EKcU6HmaR/pMQ7N4JFywlSr2kfP9Y+63kHHYT9um9g+lq5DIsNKeIjolSvw6TWVzjEOU50MpBMHs0MyySTPa9jju9uVXsIAJ3JbhxPYjt4MFLDL1MDsvMVszCF4IEPITQi5bjN/SMe8HyhkjBAtiC1FfJxHNEsoGzpN5OU4nnP2+hqQSJHuFajm+JZngLrjo+3kLDBwQprfdeoOmMAuNj1F0YJy/Bf93SMcK3GS563sMJ/I4YJqw1nUpzIWYE9EJFisHj2VAb0FoTpW+WB8RyXFhuXnROGG2cJCyAQqstkxyAQikxSijGCbOnNXb8HT3neVzM6nuxahr9892KJ/2a87X3Z9nkBfX2cU/WDbl86qTRFN2AD+XXuaTjXNR8XunLVfe3JPrxY+RD3PAGd/hMALnHNwpmCTMYruSgG/LvbSzMxYtIv6u/RwjK04wZ4AOiiEDBmFRslLNftb0UOob1wANe6p2OcsBDXu7TrtbYgGNGIs0TlLkcgWl00QAUaKnUhgWAQ2YAA9IMDPxFtScx+A6e5rCc1hTQN3/2t17Z2E3bhTEGzEJ8lzEfzXy9D1wnT0Znsxi2uH03EaZzrbyzy3YI3pskTvI5Kf+BPkp3ESLAU+2gGSmgyKgv2goYsrFYQsHKHVvdeiKZ3akQKCaIFZ2VuTfLVNNysT/KTsGqVZhZn3gIFAAeV5X6GEipbK5ty78pPQiqBWCR1U58R0FuQn/e8g4PFFThEGwKA6jgsP5Pe4pzBrT6kCPp97NmnLddIVCqpwnOed9TJ+f3h6wBo/RcDT0yudv+OipCIj73P4CffI+hNtqrL2oA2GXMTs7XQr/Rne2kmPEREE6X/zeaMAS6Y+w2GPpxlnJcfsXpk7yMd5XBBVPtXtorjNRFnipO47y+Tc5a9xfWjGi3l0Z+12N9r95bgps+XY/x3a9RjV+8pxkkv5OJOJYTkRptQiLHic9cEBeVBSBKNOykIW42yI7fxwiqKzNtztuOKDxaraeKNOFFYh0fdHyPPf6luO/NbOvvNBVanAQAumPI3np6+EcGwdl9eKsRCE7LnykQJegjyxNzK4vzZIr3zZAqqkI4K1eHdR8zP4EdIdU49hIYA5H7yu2V7kD1+mmVo17JAGB0fmo6z31yA//t2NWasja7LdqDBkWrUAlqQQjRHARqRMuylmchxyQ4EX3mfxAbaFs+GL8Ifvv+Leg0BEm5z/aCzrPFY6b9B/VuCgBs58gJYk9ixnBU3iWgfTmuSj46CdXzYvsIWrBOzbb3v+Y6+u2AdgQIAUklAXeYGgAmez3T7R7hkwnyHW08wL3Tl4lGPFnc6ixShi6DvSHoL8oDRgeyDF2F1cGIxZAeQjbjMJVunugq78ar3TdtyMjDiaaUVixe8xUkg+s7/YtdfeDHyH9022epEEVB02H2Erbga0/GheBome17Xac/TUak6VTE85Xlf/buYpqAD2YtttIXOUaSEpiBdLALcMllqSooh6ey9UOQG2mBunGC05OrkNe/run29LZxbooXRYrWiW8onleoqQwtSqMpR7K5pZQ20e2+NSSnmrt4CY3S0Jzwf4efgEDREmdo+WkUO4x73NzjFtRTfiUN1x49Uvumqld9jzG6K+xQLty8gk/iDhw4hmSSjAkloQkrgp+aBKsXnhpdqg54XYbgtJnM8khWL8wapNboJu5GBMpz5hmw9bEsOYpPUCl2EPehCdmMHba4SNr9hcG1E9MSpDDJxTud0+X6E1fMO0Aw0QAVOFRajCj7d+wKA9dvycNjdAIDcn8z13oGXI+erE2sXRJQFwqplFQA8NARCNCKaSqrw/fI9qrWsinqRgiqdQ2+AyisPSSSoE8kya9p6qS26CzshQMJAQbam/mQIvxmJYh9i995Dm2AgNquRN5pCm1BEc4bkiTOzPgepW51AMALVgFSgPdmvWqy9ynv3GvrZy1wzMdHzofq7Cdfu7/N8jfvwNbIDU7HjcAWemb4RN47ooDpF/7xqHy4a2BrHtWpgkvHFixW7itC3TaPYB8aB/hNn4p4xnfHTqn1xRXpib3e/RSx0AGp897xnxoJSimBEUqVTdnAjglRU4dNF8li1ziKuOAC87H1L/duHEILKxP3dedsx8ezjsLsw+gSXlV+TWGnf2+xNssGL6aSPU1boJEosLc4AcJnrT0gQMFUchTm+u5BJSvGP1BUALEMh+okcIrZzVhoO03S0IofRihzGPUpc+z/WyxPBRdsKcPngtgCAqz+UjQ2r95Rg9Z4SfLV0d61o3GsLz87YiM3bg8jJOdolMcOxOCcIq0gF/+f+An/7b8Nvvgcx03evur2bsBvnuuZzDgjWaEf2Y6XvetXBzgijxaMpKTYda5y5ltJknOLS9LL8B9qCFOJBm3SuEz0fYrPvcqQQ88APaBIBQN+p76HVc0LgyXcnskcfSxXAb74HMdal9xBmRNlNJLQn+1WLHLO0vumdbAo5FQuNlAGOWfWrg8bE2qoDyJro61x6fXs6qcSf3vtVWYi8pP4p+pHNJofNNFKpIzlGDHWtwyzffRgtLEcSCeI7cSj20sbwIaRardZL2UgnlWhI9J01IzfGZeh4kEHMkgSe5BKYrT+AnrDJFufoA2smZ7m0sjjb6aobo1Qn/WGgIMgRVuAD7/PqthxhpZrkh5cn8bjINRtb80vVZ2xGCvFW7jakohJlSMYh2gBNSTEauMx1WR6M4K81Wvv2kIgqV7BCKU1GMoJoTgpV34okEsTuwir4EEIWivCX1BcSJRgirEWe/xIMc8m63EaG+mxhmFiEqQtfep9UNfSALCvwIYQg9aCEpiCFBDHF+wo+9j5rIs6NSanquNxL2I42wiG87H1LnVi7iYR35+3QJfHwKAO+h7M43/31KrXdFSEVyQiiDLIV/+bQ7apkJwlBHclkFufDShSRDNh/e9GIr0eZ4Oyhsra5gyBPftkEYADZqC6rW6EJ1/47CXtQTv04SBupTpINVYtzpWVCEzfkGOiPuT9CK3IIpwn6vo61MzurtzFM5twth3XRheLF6cIijBBW6ZJffbwwD9njp8UMwRYNP8dJmnkQC7mEMeLHZ4t2ouuEGdhbXIVdBZWWiYcA4CXPW4rRSb5mQUXsPo7vmz5btAtr95aAQMIZwt86aZMRVBLVcbaRRXsMKPXIiG8RUi0tzoA8DjPDCJPdMdlPqsVqsB8h3PXVStm6rKwEtbQYy6at2Y95Ww5h3pZDlsmQ6hPeyt2GWbuqn8+iLuEQ5wThQcRkJeA91ZtYEInuxN4yCwCveV7T6ZGNWOS7JcFSArlSb91vL2fZ2iFlIZUEsFLqoG77VRyMAPWYjo0XbOCx3hcfqf7Td7/qzBcNXkRwQFl67kp2qRZTJg1JibH8/U7EPKtmGlsrUlYd5CudF49uFhb6TsJedbBm+N73mOm43sI2POb5OOZ925KDSEEQBbQBtkktkERCuNwtW9830DbqcRVU0xA3QTFakUN4mZP7xAt+ybyc+pXracTZ+K24lOXydI7MNiAVaGBYaankygfoyXgLi3dkJcMBZBmD0Rr9vTgUjUg5PvI+rzr4AsAD7qlR2/4iqRt6CnkYIaxSZTZZKMLzM9YjjVShjCYhHw2RhSIMbi3XxWappVYWhHSWYK9iDbNDCU2BQCiak0IU0jRUUa866LYkhyEQik1Sa5RCP0kGgGTDxJfXIQMyMRzMRetg5fMhjAA8KFX0ywxWxJlZ13hJGNvmgojCiqCOhHhoGAREtbIzR0AfQghQDypoEpJJAA1QgZVSB/wmDUaVYvlLRhDfeLXQdOx7LYBMnHsK5pUP9VibSRkFUSPAGL9XL8JogiJ863sipkSLoSPZi100CyF4kIkS5PkvUSfADUiF5STJBQkjhRW4yv0H5vvuwBCXXnOciRI86P4cj7itNeoAwOfjmjJnmy5pRrx40zsZH3uf1WWqY9E2KkMRbM0vw+/rrCNKVAQj2GURNhUAtuSX4zbX9/jROyHushBAF9v+19X7MOw5LZ/BroJKvKZk1t15uALDn5+thnU0gvkieaLIbYxIN0y0z3htPvqQbXjd+xre8Lxqe55HrFD181aTdeZsyiaXBTTd1uLMwBN1FinHuHoEyN/uun0y92Ayt1Y2Y9nl7y/G5e/rJ2gdyF70IHk1Cgf7vwSHOCcIN0QLXZoeJwefxd9id/X3cJdRx6uHMUyaEVZkPBpuCN2FMmrvcX1r+HYskTrjofB/cUfoZlwTuhe3hm/HRto6ofvwYN7oDIeo5jGdJ2Xp9knUvmOPZh1iSEIQW6SWCFMXThDWq6SJEWYK++tXUS+20Jam7Y1QhlRU4jnPuzHv/2z4IkyNnGS5r4wmYWTwRVwdut+072xOd7lY6hLzPjye97yjLkVHQ1NShGQSRBV8CMKLLmQ3zlLuu562VY/7SRyi/u0mEt70vJJwOwP0lr5CJc1yM5d2HRNxVizQWZz1jdc4M1QZNM4nK6s2h2k60m2sNHY4WdCTys1SK93vyZGzkSdlIYUEsU1qjoO0IRZJ3bBF0reTb8XhAOQBiQ2uHiLictefSEcFPCkNsY9mohkpxKad+yBRgplSf/X8FBLQLbN6EUFKlGdhznfJJIhK+FEFr2p1YnKVXbQpKuDXSSKM2Cq1MEmHsmC2NiWREPwIIQAvSrn+I0RdKnGeLcoT8kyUqFnveIdF9v36BYrFOwqRqkxmK6gP+UWlIERvcQag3rMCPiQjiHRSgRIqP3uVMoHKJCXozZFj1u4KlH6mF0fejbAiMYBs2fRIcn0eMhHnCJb4EzNYtCQFOEQbIAy3Kidj6CXswGTOgZdBIFTVPRsRpi40IcW43j1NjY5jBKXAl4v15+dYxPgHgHlbDuE599uY7h1vm2jIJcjJt75eulvVJVeFRYx+aS5u+NR65bTHo79j+POzdfHaedzj+RZ9DPXBIyJK+GvjQfgUK70ACX9t1ORYaxSnunRUwIMIhj8/W42K8X/fW42tFI+6P8YQbqUgmqXYiAaoQBtyUBf6kRm2RnOJhYzIO8j5C0SLda48ZyHSkUaqTIl2+Pt25JxP2TeeYUWcDRNywOyn1JoctK2HWb77MM33IF77q3YSt/zb4RDnBMFbnB8JX6nG9eSxmbbGl2IOAGCD1MY08zsp+AJEjjw2iDHrTATXhO7F79JAU1QCHutoO1wQegzraDZ+kobiL0mOVxriYkYniv2G+MorufiUBWig2/eP1M32Ov3jIIdsoC1CmurAFKQepCAAAZI6WFuhAn51MObRkhzGbYreutQw6Sig+vA9QXhMzmsMZUjCDto8quV8tdQOj4evsN0PAEODr2JU8HlcHhof9TgjxikWlkrqQ6umGbq62CRpE6NfpcEAoIbF6iXYEw+GUppk2sZ34gF4UU79aEx4i7N+ADFaLgGgASk36aKTYT0IH6INLLdHw0XuXN3vA1TfVvfSJqrlcjttjuHBV3Bp6EHdAAYA66RsSJSgCSlBOipVYv2452O0Ew6iSkjBbtoEHiIimxxAlYGAJitSCAZPHBZnhir4UKUQS0DTdO+jjVFJ7dNbfxXJwUfiKabtlo5yikU8SD2qBhoAdtOmcBMRESrg7rAcX/c17+s6+QwDW/2hUgQDDv+kLjcX0nSVVBvD0SUpYfkqqR/JRLZSs0kDC9dnnBioFmelPRwXxeIcrX+lYbkMxnYVyzhihXRSiXL4EYLbMl42I4bG/sSuzytEGhoI0SeJEqVYkqefBFVZZMoDZEvjf9xz0E3YpcZLN0IgBMc/NQv3f6sR0gvfXmR5rBFFMWQQdnX61G8bcc1HS1UfCz9CuGXqclO0h9X+6/CB5zndNl57vHJ3MfYVV+E0YTGudv+O+5TU6vI15Xtnk/3Y6LtS1bJboa+wFXN9d+nOT4sik2P4baXmcO9DCH2f+MPyODZxPKxYnDs8+JsafxzQy846WJQzw+K74yfk7DvzcenckxDAPN9dOr8YKxAbo9OhsqCtHOZ/EQ5xThAeRNTlyDDcaoP9RRyMzyOjMC44EQDwkzQUnQKfYKHUw3SNUpqienoD1p61PILUg21S87jKxwZqK+L8n+AEnBt8zPbcEE3cV3SOKEer3Sk1U7etlNrjAcUbHgA+jpysO+cN8Szb6x0XRzKWJBKCCBeC1KNGcNhDM5FCArbRQBgqqN9kzQSAE13rcYMSYzsn+BKOC7yn7ttrkJoE4NUlptFfXyaXLM2vFX4Tj1ctZfI5PrynJFJg2EMzsY22xEapjfF0HT6OjMFc8Tj1NwvTVgE/RLdGdG8P3Yp93CQvT2qGXoF3cH/4+qjXZwhQj8kqB0Cn2xThQilSkEGjSDUsiPOTno90KaIBvd76pfD56t9WZWBt0IjFUheMDT6l3Sd8Kf4TnGBSUB6gGer7OEQbIggvRLhMDrJ7aBMUIRUtyWH4SASbqN5yva3Uhd1KPOMuZA8q4dMR0CQEDRbncFSJVgknl6ikPgSoV60X1s7LkIwKg+cj//sTcYxtWzXCr5TPaHGmIPBARAQuFENLBDTCYiWNrQZ4IOoG6SKkqpMGl9HiTGSpRiV8SEYADTiLc6UdcVbkF0VKeYYI61SpkBFGTT+PTXtkowabODEYpS7RwMuKKmiSzrkRMBPlIsNvuyg0ZTQZHhqdjK7cXayTasQLPjoSP5mzimixK86Mgpe+Z85bwMOK8AFylk9AI39scvhmrizH4LMcMg0/j7vc3+ICVy7OfmMBTnzmLwwS5OhV22kL9Rj2jOe65sFPwjjLtdDWAf56JdnN9a5fVR+NNP47tYn6wcvF/CSMosowdhdW4irXDPzhvQ+AHMqRfRcFyuqZAAnvzNUmfrwRoaWF07OVX4klceYmKkzmYcxbEC8GTpppK4f5X0SdEWdCyFeEkJXKvzxCyEpu3wOEkK2EkE2EELM5pB7B6NyUREJq1rgQ9eDh8DXYJTXBXeGb8VDkv1hDtQxsYbixUOoOI0qRrIZQi4UzghNxjvctS6sRj0Il/ugWZTA3WlUP0EZYTLthOe1sOpfBaHGeGL4Uc8XjEKH2zeS5yEUYGHgTe6GRy6niKBRAGxyW0874b0iLgb1E6oKLQw+poaaWSZ1wTUhzqgRkHbYdfAghAgFBeNBMSS28l2YilQvZdn/4Ovwl9tGdJw/OfpRyljwrFCINT108BEFlImEiztSDgCGWJhu0mVUlbPF+2fWC8OhI0QnB1zAxcjn6BaYAYKHC5NGwFMmm6/D4SRyiWjD491RFfZBcGnH+S+qDAjTA1MhIHKQNcQgN5aQ9tKNJZsODrYwE4MUmg5RnD83UhUoLw4UykqpbBu5lsATyFufPIqNQzL2LJZK5bc4We2OmpGVwY6GWAODa0D3ICb6I7dR+UrmOZuOEwGu4NXQb3hfHYjHthuFnXI5p4iA1ecV+mqGSmXzu+q+J5+iuVYYkFNB01QrEW/AB2SK/W9H6dxT2oYr6dHKPZBKEn7MCeUhElxXQCN7iXKlYnJlVjhHnKvhQRQzE2a9NYkuRjAiNr6/xk7CicfbqCL8XYbgRQQQuNUNgLLgg6lbVAvDCiwg2HihT2yszGMhk3YdK+JECWePM2j3rx4zEmVnM2XtLJkFdHzldHIibQ3JCJbvJiRuiusRdYSDdzMI4QxwY81l5fXQF/AgbDBBbDdIw40QnxWaFrBTJlkv+H3meVQnQq7O2WCaV4tGPbEYTg8adJ428RX7StNghU+2QXyYnSzI6eLN2YHSevvcbffpqFnKQRYCau0WZ1JSHdONwnv8SnCdoMe/vcH+P5z3vqL8ZSdaRSeW7Y/VZSX1q9KHHw5fji4iWLIzJyFyEqrp03uIcCFq/LzdXp+zew56bjcc8n6CzsBcNUK6TjbFJqDFKBm+MaM0lP2JobOF4yLcTJqFKQyVyvXfhM88kdSWohKaazuVhldHRgRl1RpwppRdSSvtQSvsA+A7A9wBACOkO4CIAPQCcCuBNQkh8PfsRRjrKsdR3E650aSlRr3X9hquU7H4huDFdOh7DQ68iYrM0P1+SrYH/SF3xnTgMd4duRAgencXZDr0D72AtbY9Jl49Gt9ZNdfsmhK/CbaFb1d9jg0+jV+BdlCgfo9HiHMtyCUBnmZIowQfiabgi/ICJUPMkNwAPDqGhkmhERhX1mQbYcs6CFYQXf0s9VOvhLtoUf0n91AHom8hwPBC5DnZIQggSBATgVQfQPbQJfCSsOk6U0yST1Xem1A8rpA46q5k1CMb1bqHqcY2OjwF4TVKNHVQmKyycoGhBVthkKQivLmMcIymFSMfQ4KsYEdSckdg7+U4cinODj+GF8AW6SUgJUtS4nneEtfZQCR+oYnGuoD6UIwlugeDByHUYHHxdtYpRCHhHtA9BxCYNBTQds6U+un27pKY6R70DNANFUrLOWmd0rHJzA+B+2ljXTv+WumNoUHO+OUgb4urw/6lRFgC9xXmh1AN5tLluEsKDharaj8b4VToBANCjRTpC7lTcEr4T94evx7jgRGymrVVP/sPckv03Yg6yA1NxeWg8ng5fjJYNk1GIdDWrXR5tprtfKVKwj5tkNSOFKG92PAYE3sLXkREmi3MKAhhtiJnNo4Rrp1XwoRI+Hbmool5IEEykb32F9gxl1DxJZxOssKGNJnEWZyGpobrdSyJwQVK/p4GBN2ytuwwuSKjg3luQelTywghGKqrwtuclnOJaigC8qKQ+ZJISuImkaZyZxdlCkw1ATVgCAN9zWfxypT66d2kFDyLq+why33MJTVYn4Jst/CGMOMRJ0cqRZJo0G1cLjRZpu1WyMppsafnOca3CF95J8CKMeVtiOzN/73sMP/geAR8NSkecOYu8nU45XnzpfRIzfON1K0vs+2xMSnCKsFg1Lny7bA/6P6lpt9kkhr0Tt+LkKBBiIpe3GsKY8vBxxFG9NvtulIlnAF7Vsl0JP4qQBiswSRC/Knzik7JFOhAW1VTvgN4owJe3TFmF7C7s1NV1ubLdqDvmY3e3tQi9ySzOt4Rux8nBZxGiLl24WWZpbkEOI1s4iKGudapWujgGcS6qTDyy0v8i6lyqQQghAP4D4Atl01kAvqSUBimlOwBsBTCorstRHdzk/gWNSRke56IZnMOFqYpHExyEF8OCL+Pa0L24J3wTvpdkByOJq3pj1Iknw5fi0tAD6sBJAXTMkO+1XOqIbVJzfCcOxy/SidggtcYGqTX2o7HOE54nZkukzngicrmpbB2b6j8i/nmKkKqW0Rj3lyek7G+eSFqlEebJD8M86ThMiYzDE+HLlfvLA8oG2tY0qPPwEHnZmCf6jNyyZc8yJJsGsAfC1+HByHU6Kyegd2Q8L/io+jcj5UaLcxAe0+DHSBSzbvF1tElqhfHha9V4svIkQ6tTqmsLTVCs68QJugY+xH3hG7Gcdsbr4jk6S2Qp1axS+bShGi2jEn5Ibr+6HSB47eK+pvsB9laIX8TB+E06HoBMir8RR+DK0P+he+ADXBu6B6tpB9WLfLnUEfeFb9CVjUcDlONm1094wztZ3RaER0ekS2kK9tAm6jOwOq6gPHHWSAoj3XYrCFVhCQvHa06cmyaeil9vG4rOWXL9inBhDW2P+07pgjYZStgzv5kQzpN64W1xHF78T29d+utGmVlqbFVAdo4Mw63KobxExPXD2+MwGiCPZiGNVOn0301JMZJICBsMlmsGncVZlWpoFmf2/OWG1SW+vVbCr4tjPDUyEp+KYwDANPl7zPMJ+glbEKQelBO9xdmDiPo9HUIjrKPZlmVmcENEOWdZDSpJmwBtSTsdlWo0kAD1ohJ+VerBJrfHd5aJq04SxFmyx/TX6p8nyqXULGExwouwSjL4uthHM9V2bSUNMoI/poL6Tf4N+2ljPBS+Rv1ttEjzUYCeC1+o/l0WY7WJJTLqRbYhz38J+pCtpmPYCkUrclgnm+KjTMQKBRkvCCQ1i2gqqtCK5MODiNqOz3HNx9veV7DZfyX6KVln+fBwRnK7cFsBrvxgMUKiZEqAoxFZs2yCvdN2wgHTNjWONsJqdtlK6lMdm40YQDZhENmgI+FuMYh1+0rwyE9r8Z+3tQzCrE7LqV8nk2Dje1eyS1fX5cqYyL+X/LKAGub1EE1HW8FscWahYnfTJthMWyMAOdrOYGE98vyXqEmp+Ayx7RRNu52RgaGgPISfV9nrvx3IOBIJUIYBOEgpZe6aLQHw3gZ7lG0mEEKuB3A9AGRlZSE3N7cOi2nGGqkddklN0IbzGudnnvGETgOA3dQsO+AtzhXUr8tBnCv1wTbO0rF82XI09PfEmshp2NP+Yny4WbvvaSF9hkEG5jBURpNwQegxtE4TgDKZpEwckoTNRSKCYghbuQktr3HmdXjRiHOYkx+o94YP/bNc4B23rSQHEbjxTORi9TcLY7ZE6mIZy5OHBEG1cldRr6pRZMRZtjjr349KtAydx1apFZq41qOMpGEZlaNd5ObmIkfZbxw83ZBMdWK0PvKk/ZnIxZgt9cX97i8BIC7N6d39fXhpWRA5rdzI3aPfx2cJLEWKSkiKkYpK+JCCICqpD4eKWcgumVCsW6fp28a196BlmoApq4IotulMbwvfjgtcuQCAA2gEgGCOEuZwptQfI1L3go1n70VORwlS1cGAxwueKTjfNde0PQCvzjLFBpsQPEhBUJ088dfUhw2T34GRrBfQNDQmZZgv9kT/lZrucsG8uRAIwYEK/XLk9u3b0TSYhsEAujZrgFvSfKiMUHy4Vn64hj6Ck9q4Edi1Bluklmjukq1M2wqCuFCcoGYbK0Q6bu7jw5SVmmPs+g2yFGOjEgqQTwvPyKBR88rg8qWCzSuYVIN9I8kkqH7jRtnQYc4CGoJb/73CrUadESGgjCbp+jQ/kaUaxWG3albJIOW4zD1LDQEJmMO3HabparxZQA47WEGT1H5NJs76dNx8pI/DSNcR3d20KSYNScIv20sRpi6dVCOoWAuD1I1IpXZPvo8pRiryDdkSjfCSCHwkBIkSXV++h2aiG2S5QbToRAx8XcgWZ32/E4YbX4k5mOT5QPmtn9DzIRDfEcfifo/slGZ0UjaiE9mLTbSNKvf50fcI7grdhB8kzfLOx/PmnfN4ssZHdZInSPbj2tRf/0JjP4HPLb/Y8vJysJfcHJr1tTXJx6++h/FZZJTa357j0pKy3OT+GdeF9fI8VePMWU/nbJbH3pYGZ2EmobByImbX4Z3y/SQEUG2SkqqEPQTkCYrRol1O/UglAbzkleVz33GrGUkkiLGT56OBTz8GMItzOZJ0US6YQao5KdQlOGPfrY+EAQq88OVMvL4yiIfdxaikPuyjmbpIMkaw8SwAH3wI4TKXbL1njql89CE24TeOqy6IupB46/eX4vYvVqB45waZMwAgnIj+SHEwXmt/pHlfPKgRcSaEzATQzGLXQ5TSn5S/L4ZmbQZg6bZpyZIope8AeAcABgwYQHOOcAqZq2ZU4LfQYHzrfQwDLDyfWWd7Qf9W+GbZHtN+HkM6NsaCrZoelCfORkmBcem1b79+6N+2EXDm6dhVUIkPn5djWk65rD+SvC4ke124YMrfunPYR8UqtmOLxtitZDC6bJxshXtn7jZgk6Zp4y3OvLOMcbbPaybZIMBLNW4/tTcGDz8VeEz+3T4zBYWHZfKzRWqJCwe0xldLzSm/p4jjcIf7e2ygbXTpa60QoQICRO54ipCq1hnTcpVZDGC8VILHVtoCJ2C9zgs5JycHyJX/Pnn4icCiyfhOHAYfwlgkdcPZ3CAAAP07tcH8rT3wkzREdy8AePniAejzucjdPzpxvn1UJ9w+pjNuv0D+3XXCdAS4dK5tmjUBW7kOwovttDk6YD9KaIqsCSXAGQM6IFRQDADYqUzcevbsAayUpQEd2mfjztGdMXXT7ygJ2lsh2DLybtoUFw1sjS+XaO9tc4Uf7FGYxc7YdgFYkmYAGNGtFdxb5MGmmKbga3EEfrxlCILvyRdl7+/rW3IAxc/MigwZJ2VbaUucFboRe2kmduTkADNkp8+TRmo6RjFzJzbuL8Oni3aiQ4f2SB/4GG79sgXGn3c7zsuQ6+NDJVPZpPP6Ymwvebm994zbMFpcjsvdf6JRx0HAJm0gLKDpuP+i0ejSdS+WfN8ZW6SW6NylK7B6FdZLcijAvlzcaKY7/UA8DdnCAdWxk2FY/56Akkm8SnFq7SbswjWu6UjmLM5sZeTp8MX4URxiqG+Ccwe0BRQ/Pv4bj8CFIcHJEECxxn+tuj0IL7w+P7qUfYS73N/iRsVZiu+nyg0RVgppmo44uyHqiHAIHi4dt9kpa6vUUve9PnnNmejYsSsWf7kCVYU+VR+7ROoMNyT0JVsRhAf/OXUEoCYGJTgv+CgGCJuxVOqCCASEqUvntBWgHlVn7lWkGvL3qA1LvDQrHuMIP7GupD7TSqSsEHfrfhuxROqMlyIXIAI3IlSAm0imCb4RnYQ9gKS//2Oej/FDUCN5fNQbvcXZWqqRhADCirW/CYpRDj+quPf44PwqDOuUiQ+uGgiPS0Bubi7GCHNwqmsxPoicrh7H/AAGCxt05cunDdGUFFta8hnZNI43/D4G1lfzpK8n2Y4dtLnO2ltKk5BOqtRtzAqbgip1rDhAM0zRbQ7RBrqIRLzFmZVPIi4AEYwVFuF6969qpKQK6kcHYT9mee/BA+Fr1XNdkNCAm8iwcYCV7fWV8iQgk5TgEG0QU1YRYMRZadPGcY0HMyglGSYaH3qew3CXFraPQAKFgOSWXbAovwxvz9mOrZNOA2ZMB6CMi3WI/SVVOOHpv/Dk2T0BrD0i96wOaiTVoJSOppT2tPj3EwAQQtwAzgXwFXfaHgD82mQrAPV6bcA4SDCEFLJ40SBNP3zbSR2x7anTccUJ8kD5yoV9MKhdBs7uozeq81INowWCtyheM6Qd+rRuqP5u01gmCU+e3ROn9myGEZ2boL9FilRNLkHw4Old8d+h7U3HGMETOt4KZkwuEUuqQbyKZpf78IuRhofDV+Py0Hic3ddaN/hy5Dy0D3yGCNxRrR6AYnFWyltM09RBmnXY5TRJtVhukVriXa5TN2IXbYp/pK74udNEy/0D+w/E/HFzcF/4Btwavl2nPWWgghuXhR/CN0oYQv6dutxe3bYgPPC6BDwcvhqPh/USmrcu7Ye7x+id5Aa0lcOnZSvv/rTj5SgST4dla/14eguuDP0f8tFIrYfR3ZshNSRbXLQ42ho5YKGeZt49wlbzfc2QdvhKzMFbkXH4o+FFuG54e7TJ0EgqbxFj7S3W8jgP6vapy+sjgi/jEBqhT2tNL8/IBt/+D6V2w+/iAPwqDla3GS3OXkSwhzZVJSnTbh+K324fpjvm0uPb4v9O64qLB7XBZYPb4pRebfD6UxPRKkO71q+3DcU3N56gkmYAmD3hHNDeF+Ps0JNo3lSvfW/fRv7mz+rTEpWX/Ya2V72H49vJ727M8X1RSPWZwtiS7AHaCPeFbzDXT6q2UlUJn+oo94jnUyQjqNY5I6KHaAMsmHSpOimXKMFHp6agc3OtfwjDjb5t5egqIgRUIMkkCQjBDQKZQPODMT9hNq4sFBj0xC6IOh00r3G2SkZRktJW13Y6tpe/gbYZyWoUHIkSXBB6VNWMBuEF8erf/TLaBW+L4xTLuoCD0PeNvIMrk2oYJSt838f3iaJN/HneobTCYsJuJN9sP+/Mm08b4m8lAhPrU63CP14WegD/F74O5dSvTrz48lMQPOz+FMt8cntiPh+V1Kez2ns5IwFvbeUtuEv8N+M7LukMw7wth9Hpoek4WBpAcVDCu96XcJ5rvi6JUXOFlJbDD4ELffibOAi7pSaqXwYPRuqM5M5uG6BfAf7V9zC+8z6mM4DsVSZBjJyyOktBQI00cYA2Mr0j3gkZgC55DSsLy9D4hncyegvbVXLPZIkdhP04ybVCjcjhRkRn3Q+pxNngHIgSHEaDmL44fDSXc13zo+YvYPfNIGV4zTMZzVAAgOpIM6BNrn5auRdvz5Gt3QdKo0eqqi1UhiI44Wk5csfXS8yGtfqEutY4jwawkVLKmw9/BnARIcRHCGkHoBOAxZZn1xPYWQhDcOPcvi3BJ2q6aFAbuASCx8b1wPonTsHZfVvi6xtOMJnU9RZna0kBADwyrrspE1TeM2PVfPMAIAgE2586HTue1shhFbd8e/ngbAxs1witM5Lw6X81Obkxqg5vKeE1X0+GL8WrES3CgHHpFzDUkVc+977WX+JE4TOVr30mjsEBmONeA8Cz5x0Heb6rOC5x9zgr+AQmhK/SHc9rnEuRjDVSexym6RjnWgSREhQhTS3n79IATIpcZnlf9twXhh7Bjgw9uWKRPdzeFAzt30c32TG+z4Xb9c5LOocsl1xHzGHwrtOOw9rHT8Fn4hh8KGph6FY9ejJOO84cIWLK5f0x485hyEhRCIQvFR0Cn+JtcRxOP64ZOrRqqUoo3omcIZcvrRUqPQ0BAMtpJ7kYXDtiIVKbpvttdcmPjOuOKvjxbORiVFIvOjRJxdz7Natt307ahJEtO/IWZ16vaQXJ5cNV4fvxSPhK3WSEvdcQXPj9zuG6c3o09eCG8N24NXy7us1omWMWnlN7yIthPVo0QPcW+nBjAJDqc+Ppc49Dut/6++7ZsgEGZutjPmekeHGp8u2N6Kx32O3XTZucjujcBEM6ZqJ1RjLynhmL03u1wAbF6swmdIzIFCMVEYtQkJKgfcOV8OkIQTIJqHXNlog9Pj/cLkFt96yNEpf2fMd3bA6fl01MrP0IkhFUzw1y5eLjWhsnSEYi7TY6B3IaZzdEhAw+DGvLUtX3XkaTAEH+1twuzflRvgdRjwvCA+KOPlHbb4jZvZuzJustzsDPouxAypMofuJgZwHmtdXl8JuejdXzZaEHMDY4Se3b+AmLaNGnWsmeCmg6vhJHIp82VC2ixpCP17qnozEpQxICeMj9OQBZ/jDDp8WE5y3OvFNbkoHQdrfIdspw/FOzcOdsjVDyshBmza2kft299tAmqibXCOarkWaIguJBBG/aZOwzZt7rKuy21Bf7EIIASc0Mm0qqkEUKEaQeFCMVmw2hJY2OpWmkUp0IGq3fLKEXs1rzhjY55jsL0RjRRTAxWpwZZItzQ5MvDgBd3gi20sakpKcJ9uEAWQrwnkIexrkW4RHPp6bMoYDWlnhucP+3q3G6sAinCovx9zZzeDwrTF+zH9njp6EwjhTnDNvytbqhMaSaRxt1TZwvgl6mAUrpOgBfA1gPYAaAWyilied4PoKwW64Lw40nzu6JBknawESVFicIBMlee6sp72kdgQv3cfF07SJ0RIMgEJ0WiVmtKYAkrws+twvz7j8JwzppA4exaQa5+/JSjffFsXg5coH626qT560efY+TLaLvXzsMCx8ZF1f5T+mhV/zwdbCDNjdZhUQIKlkro0k4jAZ4WyGNhUjXDXhWCU/095Kfx2UIiPqf0KO4OPQQ3G4zwTDO7ksM/QNP/IlCgJiTluBJgtdt/vT4dsQj1edG12bpOF0h1a0aaZESLhzYhnEMDO2YiR+kYcgOTAVSMrAg8z+4IPgIFkjH4YYR7TGyi/bueQ1ZrCVhQK9zYzhjkOaYxd5Ph1bae1xBO5rO4UFdPuymWfjEEGqRDSgRuNGlmV7/a2VTMRJ/NvAObp9hcXTN0b9tI2yaeCqGdtI7jTZvZG8hIkTL3MgmxkzjXEJTLcMXdm2lXb+K+nSRJZIRVK/DLLgSUSZoqlOv0t5cHBGkLkAJYiRyFs+zgk9gUvgSAHpnNX4y7eY0ycZVOH7iHKIuU7zuILy6BCi8A+wSqTOW0c5qYppXIueq+wa3b4xditSIEQmVOFMPQKIPYcZvn7cGexBRYkjLbff28G3IDkzVPTMvQSuzWXnkt1vFcWa/50vHYR1tp44n/IoNb0hh4RUrLO7Hzq2EXw2nxktfeMnBacJidBOssxLyZNZlcBQ8Q/gbSTHi4VuhKRePujWRyVwF/KqmHWDE2WMZZo+R6QaoQAeyF3n+SzBCWIWBwkadnxEPq1CDfBxk1qZ8JIzmKFD15MziLOv2CfJoc/QNTMFaKRuAvILGv9cMUqo63Rqt3+zdMVlbOTchaoECdcLbiJSrTqeA1rb4CTEg9wuHabpu4snA4sSHqUsdI68M/Z98/yixx437skgRruKihTGwb3T+Vk0fvnBbAd70TsYU7yu44t35pnOswGJzb82P3/GUJ8tr9yaexfZIok6JM6X0KkrpFIvtkyilHSilXSil0+uyDLUBO+1QEB743ALaN0lFt+Yy0UyzsV4ZWerN4TswXYkRGqYufCPm4KLQwzrLbk1QpWqc7ZdvTBZn5UM+rFg17BC2kGqw//fSTHg9ehKQ3ThF+V/uUIwcrFm635SxiI+qYWXxFzmpBrPcsIyEbCBkg4NVlr/tXMIWNhgJBsv+IcjLp0ZCDZjr1Wy946JmuD2YcEZ3UIXYwBWdyNvhv0PbYd3jpyArTbOySRJV6+6mnA5o0UDb5/V6sYTK5PaB07rB7dI+96x07hoQMDF8Ka4L3W2bIOexM82JfNzJDdW/mYWGt0QaM/SdGXxS93t7kXUCAva9GaMPANbEmVle2NJ3Gqow//9G4soTsy2vXxvwWUymhnSwXk0BgONaNlB1zsx5pwlKEKECypBkOTn3ePQWZybtKKBpisZZruvVkmzpPiDIBDOaxVkSPCCCQpy57n8V7YjVUgcAsuMU6xv4cvEEy2hxDsKtWqer4IMbknr8qODzsjxJ1TiLOmvaa5FzQCFgjtQLQ4Ov4n0uPOKgdhmqY+UGZeLBvvsAvBCUb5OPbsLjffF0vB85DZ9GRst1Q2UjRT5tCDeR0AjlOmmc8Zn5v8uRjHLqV8u+XMmOmsfFES+H3yzVMLRj1q55J07eGHFN6D7cFLpDt5+BfRsV8KsWZyalK6YpuoyQ2VxUCSN8CKsrM7x05izXArzufQ2feJ9RtxlzGdghi5OC5Agr1XLyFu1DtIHJ4twSh9CB7IVfIXduImGYki77TNcCS78JudwRy4x+fDr5QmWC5kcIbQTNEz6VyBrnA1zG2yKkq+87RN26CBSZKFFXK4zWcjZBZfG4+ZUC/h00NiQusbY4UzREBQqRppu0MexUVkH5NjZH6o2FojlfRDRkkSI1+yiPWBkzT4wzgYpNjph/DZzMgXHALqNeCG54FDLy621DsXzCGFuroXHpoRSpmC7Kob7YQLdI6o6XIxfgmxtPqHGZmVQjGnE2gpXjO3GYKXYxD37A1f4mOCv4BM6TnjYd/8pFffDuFQMw8+4R2PjkqaYSPX5WDxMjCuuWSz0mb2BZqiE/I7N+raXt8E1kOG4L3wZAG1CssiieGnoWBxUHlXZN5QFKsEnBlZ5kfv/ficPwvThU9ajv3caeNBGXB/8d2g5uj8fyPvPuH4kvrx9sdar+OoQgxedGsk8bZDtlpaoWZ4lS1TJMKXDbSZ1sr8VLfQDgPXEs/pQGmJKJtGwo1+2wjpr1s0GSB31aN0TDRto2Fss2KGiDhnG50+g0tXCXdWIKNmDwEzRmnUv1yM93yfGaTKRxowxEqID9yjJmMgmiVaNkSyt5XSAn+CLGBiehcar9hCjF58bv0kBskVriD7E/ALl9yoMzsV5lcutDPDLP/j20iRJVQ77fW+KZOC34NLa7ZSInqsRZ8YrnLM6SywsoxFkydP8sC1+qjcWZtxwaraEhJbkQIFtD3YjAAxErpQ7YRlsiSD3wEBEuiHATURc3N6D2VYJlv3NYCRfJonoEleOD8KBBsge9Au/i8tADunP+eXAU/n7gJMyReuPJyOXq5DoC2UjxRkTOXtpB2Kf2Awz8RJ03mpQhCZXwq2V8J3IGsgOf4zC3OrePZtpanI2/+e+D1zsXoAGmS8eboqXIz67IOGiSanFmBoLXI2frjj1ZWGY6n+Eu93dY478WDVCue6/MiWwg5wzf1JA8xQ5NSJEqW2CW1QqaBBcklNIkHKQNsYm2RoB6dXKHBf47MMt3H/wIq98501r7ELEdwbb4r8BAYZNpOz95YA52PoTRRgnTtkFqjVQE0BilattiYO8mDLdOruglomrtNTovsghL7LvhLdXNOYdfPj4zoLUtnqz6EIZAKALUZ2kw2sUszgZDjVFqEi2cKyDHRbeKSOIl0YlzA4vQhaGI/cQqkS5YOobItkOc44CtxpmbEboEompQrdC/rdmBL6LqefUda+tGyfj1tqH4+Jrqh7dmFqFfRHsSbozjHKvd3hm6GWODTxmsq9qXsYp2RJnFsn+634Mx3bPgdgnwe1zITNMTjGSv+SO3uwcD7xzInlWCgPsiN2KlIhFglo4OLcyDcQgebUYvyP8bteRf33ACHh7bzZKAVcGPu8M3q4Nfr7aZpmNUCPoldGJYxm6dkYzB7e2JtxGZHEFr1SgZvVo1VLfzRbWbxAFm6zqDsa3n3peDDU+cqjt+1aMn48dbhgB+ftCR94cE7f2XIUmXDtzY2ReHrLsfVgb+uzg++Dp6BN5Hm3QBH141EI+coVlYvr3pRJQiWXXSChLrJfW6Qh5tjnW0XczjKuHHmNBzuCF8l0qUGFGwkmoQwYN7wzdgm9QcQXjwjngG/pG6IgiPzjlQgoANtC3cLvkdRFSphvLOeIsz8YAo8gbjpLpQIRHy5EnuDXijAU+wjHHZQ3Crlm8KqBZn9lxs1cevpH/iIwawfRcPso5n/b04DLPEvnhTIbvse2cEuhQppkmZWyDwcisszJLIvkFW763IYdPKCP/MQXjwSUSOe11FfSinGnGWCSsBQPBc+D84L/goKuE3vct4iLNVJtmAxbjDnlMOO6knzkZnsq6C7GC1yyIzKDMqHCfs0FmEMwzZ/QCouuBYyEKRyUougcANEXOl3jg++CbKkWyrcU5CUJ0cMbmVB5GoVtALXHOilomRX5k4H0SYurCFtkIqKtGAlKPYEApSm7S7TZE/VOJMbKQaLC60haEGgC7qDGBtcWb1UgWvZZ4IZvXeRFvDo3zvjVO8aoQNhlgZZ71ERCdhr2m7T4kBY39eBJRS/LO9AJRS3PXVSnR+eDrW7ClBMKK1o3g4cCgiQeTY8kt/miOX1Vc4xDkO2BHnWJEfeHRsmoa8Z/QZ2tiwZexoCZEdk0Z0trf6xkIAPvQNTMHjkStsjxnTXR9fOtbk8EdpKNbR7LhT+NqhQ5NU/H7ncAzpKJNFSmH60qyIBI8IBPWUKurDBf1bmY5hHYBIrN8fe15RIbZGS/Cgdhm4dpjm8HUxFz2FgZVBEOxJKnHJA/wHaTfKJKihpv1tlVpzq+g9Yzrj51uHoFvzdJU4S5TChhtHhbGz9rgEJFlMbACoTqA8eIvzx9ccjyvCD2BqZCTeiJxp+o6siAHAa5y1+1bBr2r+RnZtCr/HhcbKRJU5OAapB3eHbsTL7UzqsDrDzLuHxz5IBwIKgfMNkAc8K6kGcXvxrTgCo0IvghG0IPXAAxHJCJjkEqz9Nm0gT14YMS6q0gY0UfCAuFy6/QyH0QAXBifgnvCNnFSDtziL+PnWIfjuphNMy+ciXGqyHAI5RrOHaCEYGTlOUiJLF1kQZzuZWyHS8d/wfTioLKuzJDguQ7QfHhT675mRYbaFd8wzRt7QrXZRDx6JXIX2gc+wlbbAZtoaW2kLAHp97Zvi2WoMeONnZ+eEyZPMiMVQbCURZO2knCYhVYkowYgvPxlZyqWvj5ZIpRfZrqvHRhbpnJsZwiTaIYsUmxza3BDhhqh7viC86CHsxEhhhf5YIqmTGCYj8CACL7Encn4bC+kP4hB8EhmD6dLxiFABfhJCG5KPPTQT+bQhMkkpGqLCFMM+xFmcDxlWzJi1106qYQxpZ4RRj22lceYzG1rxjv20MW4N3YYbQ3ep/ko3jGiv808C4os/boXBwgZs9V+BQYR3HNRnnPxm2R5c+M4i/LxqH35YIZPvca/Px8kvm8OO3jp1Od7MNSfmAYDOD0/Hfz9eov6eu/kQWpF8jI6yUlJf4BDnOGDnHBhvAhQ7MA2glbWhNlCE9Dq5ttVAcLJCwuPVNnVplqZODFo1SjJJWWJNSkTqglepvzDceP6C3qZj2H7JhtQSZTlRVO7lEoAUO5II4MoT29ru45fDzfvk++9M64tRoRfVcH1LHx6NCYNrbh11uwTV6jyqq/we0v2eakkVEmovikZkmqitjIRc8vOEqAsNFYv3g5Hr8HzkIpNm2W5CamVxZuBbyfQ7huG7m+QVlYPIQBFS8b00HAe89u+pttGxqXXyklgIqcTZixYN/JZRNWDRbsNwIw2VcBFqIq9sonRSd5nYMYuzYNA4M+dAq0/1H9pN59zE93FuiOjVqiH6tWmEhun6JW4JBF+JObgudDe+jMj+EX6EVMs6k5Wc45qHDFKOKvhU2QEjzvG2VmYJtNK3MjRO8eqJs9KmmF6Xd8wzWZx5R0clxrMEARMjl+PG8F14PXI2XoucjW9F60mTMdyecZxgxKuIpqoh7vjvLqdLE9yU0yGGxdmvLrUzizM/GeGT1VhF52DoKuzSlbeRhcX5Te9kzPLeAy/C6Eu24BPP0zrnQoZW5BAKaANcEnoQc0TZQdxDZGkOL0Vi7/tD7/OmaxxUyt1CIc5ehGPqbq2whzbBI5Gr5ZVFJflOG5KP3bQpDtAMJJMgPEQ0JR9ifU4ILnythBblrwmYnQPZd8ZWAFzKlxWw0Cjz6NhCNhzpLM6KhKXKRqoRghu/SiegEOl4+cI+ePPSfji1R3Pd6jegWaZL+JChFtKfEgPB7ivIeerOdmlOgPxEwQ0ReYfl6Be7C/Xf384C8/d4sDSI52aY5TQMuZv0Tp8/eB/Fe94X49bVHy04xDkOGBuluj2ODHDR4FGJn9Zpts5Iiir5qEvEKzGyIs7VkZNeN6w9Fj84Cu2bpJr0TcZ7GEmXCEG1KIdsyB7bT4UYMaGJZnH++8FRWPrwaMvjrCYFrNOkUYgzC0f34gW9ce/JndFXiUucmepTM3DVFh4e2w1/P3ASGiltyO8RcN8pXWr1Hjy6BD7CbVxoOGZxDsBnahNGAmHl/CJv18e9tkPTdD/6KzGu7wjdgkfDVwOov1q5m3I6qH+zugjCgzS/B4+d08d0vOA29wMiBGQoS77G9LkqUVTau2pR5gh4hHhV58CojsOGcgKaVIMQgqFdWxiOly3if0oDVGLkQ1glTExW8pBnKgCZoDBCp2p54/wUmKWWxfDd+OSppmMIIfB7+Vj5yjeuPBlvhT1gSKqjD0dnbqMB+PBi5D+qRbh9E6OVVU8qjX0XszBWwK9eg/cbaZeZgv87taulxpkR7HL4FaJG1XGEl2oc5CYD0TIQpqJKJ8FpbGFxBuSYxD3JDrzgmYLhrjVoT8ypF5JICLtpEyyUeuLK8HjkSVmQ81ZKOg03TyjPFBbqrsGc9VopUTk8RLQk6Tys4mvzfUsAXpzrmofewnbspk11SZSM3xCr3zB1YzntjLtCN6n7DtKGiFDBFAVDk2rI7ZGFbYyV3jo9Vd7Px3Fm+ukAvJa8g+ccDZI8OP245miQ7DH1lbOkfgA0eQmgOUryMK5GsIlENtFSfadyEVa8iKh9w54iewv7sp368KxVofgCpzEH6Ea1lAa+ruAQ5zgQLY5zTeBRlqB4a9O8+09SHQ7rK6yIc7rfg9N6NsMd/eJPgEEIQVMlugMfHk1OAKLvDH+RTlA94wG5g2Ne+nbWadbhijb7mcMhk3IIhCDd79FpiHkYiXPeM2NVvagQhZwTJYpGkzQfbj2pU506rbldApo30CxMG588DbeM1KQh0+8Yhjcv7RfzOr+IsZ0VAXnZlXcyiyjZHKssl5n135Hdd8UIlZUkyG5F4yAyVEJVT3kz/u9ULfKDKtWgXhACUAvrMnFbWZxdyFCSGRjD8GnEWU+M+dWQCNxxEWf1mlxt8nGc3/5Hr3vlr8WW5f0IqX8b24MLkmoxZ5ZVY5IoBj4BDaBZnNMVi7PfYz3B4iOfhAzEmSeT+7nYuPKxvHNgbOPIqxf21f12Gaxlxv6JWRgD1Mtpr7Wysvf45PkDbO9ZQf0QCEUSgvCQiBydhVpPBqJJNVJIAG4uWQ2fBt2IAcImtbxWWmhAkzMA8nMzqQb/fHyUo8ne13XnaxZnWR5yvLBRJVN22E5bmLbx720rbanqi7fRFuo9AJiy87Gn1yzPXDhCJCMCl04TDvBSDZlgfiGehFyxN17jImRVKCsuEkfyI0qY0gtdueq35eeIs1XbY2SbR4Mkj66ct4VuVXXWvLOtlXzDuI3dv62gEedkLoOiBxG1D96wP/6Qcd0emWGyUFuBJf3JIkUxjjy6qN8MrZ7ASBTPDT6GKZFxiH9x0RpuC4tzbaE3l20tGt67YgA+vGog5t0/Un2aWE9lp9l767L+6JJRvWdplKx1pik+t0kPHoEbT0UuUX+LICoxtiXOinYvr8g+viUASKrGOXoZrYKyq1uiSjVqNsGqTXRrrsWDZvjxliG63+0Cn+E+3FGt65d7muCrSA6uCd1v2md8T3ZhHvep0TGql7FKOgZiITFrYgBeEEKsVywsyDRPQGzjbyvtma2GtGqsWZpCOouzPVg8en4Zn88g2qB5B9wYuhNvRcaZrsXK6CNhTuOsn4xmkhJVEsLaQYpd3HtDQZn21CqGrx1Yn8WIIU8mWUp6Bt45MB7jiLFfMFpIzcRZI0dqFkFuKGbdUKsmZodyBhbBJBUBRUPssg0FaYw/zSdoSUEALogIwW27AgTIiTe6CbvUemyGQqWs+kkCn2AmAhc8lhpn+/sU0TR8FcnRbbvd/QMA4EvDdqt7MvDk/K7QzXg/chquCt2PT8UxOMhlBSwyEWe59jXirJ90huE2SXGMzoEFNB1Xhf9PN4lg70uva5frobOwFxe5ZgPQwr3ZSTX2lVtbbll5JUrwi3QiMpSVAxZ7GrCW7BidCJluviUpQBIC8CCi0267Iartfd2+xGItbztkb0XeXyLfo0R5Hw5x/hdANFTTctoZz0QurvF12QCwgzaLcWTiuGF47BTbADC6exZGdm2K1hnxOxPYEeeagI9oERGt9U28Tk6ESw3Bk2dTf98r4bt2u6y99ZnFmUk1YtEtKz6mWvWiOQdaWA7rE9oa3v23Nw3F7Hvt43hHAxUE/F/keqyj2abY3CapBjw4sUNjtG2sv39aM7nt8nFhGVK9sSer9AgT59x7czDv/sTqiw2kAXggEIAK5kkEsZjJ8ZNsu4yPRqmGx6tdOwSvOsmjFt3/VUrs6w5N5AHMmMiE4eoh2ZghDVLLoLc4y2VsTgrV8hr1lU1RjDIkQaJaJkC7hRiemJ7Rq7kaym4PRwoeOr2baQLIQ6Isog0jzhqJMJJ6fTuN3d7Chv7KbHHW95fM4hyEtsTOT4hYPRBvMqaLA3FF6P8wMvgirgndqx7DQnAmkwC8iCAEt2plDFK3blneaHHmCVQyAnBDggiXZTSIF8PnY0L4KhTRNKSjUu2DWZg1Y2i23TqLs2yddRkszlYp1xkC8OArg7aYZdi002oXWUgQeNK5D5l4MnI5cqU+CMOttzjbpLUOWVicASgWZ/3ESNM4y+RPjSTDtXm2uqILfcgl78kihRgmrMZ9nq/lcxVttqlctrJRZvxhE165jDu598EnLWKW71JDHzJUWKv+vcF/DT73TlLDHgLyKnnuRllGE7HQxFFKsd6GUF/z0RLL7dPX7MfJL8mOhcxZ83H3R/jE87Rl+Lv6AIc4xwFjvNPawu/SQFwVug8fcGmXjyZmKrqon6OEsAPME4nahtUHCZgTr3wknoIzg0/ib8mcnAMAvhJz0C7wGVq2tg4VxoZEO+fB+MBCfkWxOFuQovoEY233b9tIJ/dIBDxZNhMh4waCqdcNNqXVvv5MmYRaefO3TrNue3nPjMVrF8tL5tIR9ivJzkxJaOIJ6EOqtW2crLMuM8sfATFFi+FlXUZrkUowDRZniftuRJcXghqOzoybcjrgq+sH48YRsh7baI1l+H3dAaWM7N5Ejfmtj/OuEGcDKWtKilBOkxRyEJ2ctsmQB9Op1x2P1y/pBwkCrgndi/8EH1GPuW54e/SJssqmRr9RSK3VpIGBtxRGw7BOmbhwQGv0btUQXbJk8ta+SYppKd9kcSaaVENUrL+8BphJuQgRcFP4LsyVemMHbY6/JE1ixUgub3GmEFBO/ShAuq6dzBT747nwf9TffAxuJtWIcMS5kLPCfiuOwKfiySijyUgjlSqJut/zFWZ57zHFAs7nIpTIFucI3JB0fbfRuY5HFXzqihMANZMfYE+cjXILwN5/Qr6HX02Yw2Q/XZUMpUaLs5G8Mis6D6NUg00ueKs3myiXc9IIvn9MQUDNtiiX0Wf5DHYrIMZj3xdPx4vh8/GFOErdxtefmr3SUKeNiJ6oDhI26bIOehHBpoPWMh0AGPz0LJw+eZ7lPokCq/cU49kZG/HJ33nq9ps+X46yoEz0GZFvK+RjuGsNxrrs04gfTTjEOQ7UFXEGCHKlvlE78epfOXFsoy2RHZiKtVS2+H19wwn4+VazFacuLM48Un12JFR7KhECKASsph1sjpWPpxBiLt0z58F4DZVZ6T4sflDukNTsbFE1znVbXzVFbVhouzVPx9PnHhe3k2h2YKrtPl9mNgDoUkzHA7ZqUZ+lGq0z5IGKRZkIwIMbhncACMGrkXNwZvBJjA49h+tCd0MgwDPn9cKMO4ep5/OklFl7LxygX1FZsUce2BgJSEnSSGuE+HCwXCZukk0vcXz7xmpdrqPtcEZwoumYkir5GkQlogT9lFj1fKIH1lcYrZlTxHEoR5KOXNi1nbvHdMb7Vw7AiR00C/NfUj/sQ5TY6Qao6ccN0wWWjIZHKVJxYmAyzgs+GvWabTKS8ez5veB2CRiQLT/71Sdm429Jn8WNJ863j+qEp8KXYI2UjdW0vfoOdBZn9n+Ub4kRMT+C8CCi3qMCfhTQdB1RLUQa3hTPVn+Xc5KOFATgJiJECKqFdCe3gse06WVIQhoqddnvOgj7kWSQU/FJQ5iswWhxTiJ6KzWPAPXqyDd/PbuU58YQeIC9DIzh4tDDGBl8ESWKxfn4drK0RdU4KxMPU9ZHTuPcDAV40fOm6mvDnAONscsBrc554su/3jYkX9cy7TTOdgEJjJOzSvjxmniubjtfl1ra9+gOjIBmSQdgmhQypKESPoRwsDS6LPLM1xfgrdxteOQn6wyExkRn0SLnHE04xDkO8APMTaHqaT+PJJJsnGUSxaB2GWqYMz3qxrmNzfp7tTKnmjUiEau3HY9iHylzzIqXbjVO8alOjYyc2GUdlO9T+2ifmYJTelhbAxNFiu1EJX5Mv2MYLh7UplaeVUhqiL/F7rpoHXGdRxhxroVC1BF+umUofrl1qEokA/DCJch2+pcjF2A17YDdNAt/SgNACIFLIPArTm5tGyfrCBFbgvcokVlYOz9UKQ9umnOgNoBLghd5hQHdfh5W7+/Rq86yfR7N4qyBXzpnDp4BqhHnfoEp2NHqHKyR2mGNpK0GMUurMXGP1y1gVLeatXVGnPmBOTvwOW4I32V5/D5kqnGZ7cDLy9SrEoLvpWHoH3hLzd7Gk6/mDfxYRTtiXOgpBODjiLPZ4hwNTPrCwqoxglROk1BI03XGDVGxZj8Tvkg+l5vEJDPiTTWLMy+rYceWIRkNSYWqnWVINxAbfoIUoS64ScSkcfYrFue3I3o/FsDsbFzAZWWsSECqYVzhMEKCgB2GLKk82PswWZypC25F6z/J8wHOc81XpSQpCCjvXH5/OoszZcTZA4kSTI2cpBszWpN8HSmtol54fdoEh0kr7Px54tHiL5e0TLLsOnw9/SieaDqngKap2m1Ar9//r+s3nKhIO9b4r8V07/iYZYgFY8QSNhmpb6g/Xkv1GOwj+joyAtOVIP/1FRueOBWEALM35id8bpLHhapwfGFjjKgNrsIGTN5iuEkyJzYBEiPOdhZIE3GO01KpH9cUcsLpGn+6ZYicHfEVdnztU+e/7s2ptWv5PS7kPTMW6/eV4kBpzTqqGcoSfiIwVg8RBFwcfjjh62hEpv4y54wULzJSvNikapyVGMYWTcSq1URUguRXrXimSRthKbX14ekAICL4MKxDE+CgTVQNZRP7ZkZ2aYLmmQ1tn0f9hrhrTRVH4XzXHPQRtqvfKR9VoxipSPG58Z44Fu+JY7lr1R00qQbfNkhckUXsYDVZZr1BAecEFs35m5FEnlh2aZbKXcsajPAkccQXkNNuF0JPnBlJmiKeiSnimfjS+yT3DBQpCCgaZ32bBDTiWEqT0QTFpqgbzU1yKr3WPRVVcBGqSlIAYI7UG2e4/sEiqTtuwDTDc8n3fiF8AfLREJ3JHnVfpSFuOYOV1t8qZnE0NFOkaepkk2XONBBn2YoeQTeyE6Nc+gQuPhLR3ZfXOLM6DcGF9sHPAQAT2mXg2g334Dr3NPQkO9CQ0/MG4cXLl/YB5ENxT/hG3On+DmHituzeouU92E8zsJs20b1X9lz8pZZKXXC2Sx8e0IewGp86TLVIVgAwwfMZAG31sL2QeN/fmhxEgHpxSFllMMbs5kPh1Sc4xDkOsI/JRWounjy3b0t8v8Kc6rK2wLK81SZX++6mE7FmTzEe+2V97V3UAq9e1BcfLtiBvq3lj6hb4APbhBxiAtkL+YgdPNQqEjwAwjGlGlb7I1S+ED+IGiOa1CUhqE10b5GO7i3SYx8YBWUBrWOtw6h7lhBU0ndk71sdsMgGQepR2pUFCVM28Y/DCBavb1a1+tTo7GpBnF0+uFTnwNgghKgJfHiwb2GVIpVaLnVSY3xIELBRaoM+wnbLZWsJgmUEm9pqL83SzQRLszjXngCe/+at+gZGvqKRGlYu1s/9dvswdGvO9Lb24ImzGxF1QvWDJMt6OnGE02hkYBbwCBXgJhIakApE4EKVsipQBS/ODT6GHNdKsNZVhiS4Lca/1sTeQBOGSw1vxhP5b8QR+F0cYJLNAJAT65QAr4tyKLebXT8BkB0e7TKNWjn42aW9toPPrU9DrxFn/btj4ei+8j5heR1+ksSXlz0/T8QFAsyU+qOleBjHezaivbBf3VcFHyi3UvSDNAw/hIbB6xYQipjfQ7ScEicGJ4MAGCUsV7f9LXXHua75ulCMVu00lQTUVYVimPX7NcU8n7ziw8i3z0CcUxzifOyCLZMY9TfVgVCdPMhHGf3bNkL/to3QtXk6LnpnUZ3dp1kDPx44vZv6uwoWAyAlEAiN2+K8ddJpePHPzZb71PcpuACELcPNxYKanS3Kaz3SBLI+oHEtJ/FZPmEMXIRgxeIFtsdoUo36z5wldSnYa9vurFYq2ABcxUkfjMdJRosz570fEXxc5kDzN8ScO/kqZG37c3oqLlW2sUgS86ReGBh4E4fQEOO46zBixwihcQJsba2t+YeyeeJplt+b+p3W4mqE/puXr2t177CNrpUvF3uv8U5cmUY+mQThhWgiPWGdxdmQTEo5tgDpyEIxGqBCF5UjAC+W085YHuHSdtskUWlFDltuZ/exIs4AQSlSLSO2jOmdjeVztWsyqUYIHhw2pMBmsErwEkuqES+Y0x1z3rSK48yDf05eZ80mvHxUDNYWmDNqL7Jd3ReGC9RlfgafHXG2yjyqgCqtnh8zX4qcjymRcUhHhVZGG2NUM1KAEHWhgiapuSd41OZk1EicUxMIOXkk4Wic4wBrcIKhgTw8tpvV4f9aNEy2n9WyGXtdI6JaaOK7nztqMhllECVmshAvVI1zlM6jLhOe1GfES4TiOS4jxYsGUdofoJGWY8HiLEIbiIH4J1fMshjN+YmqxFlp+9zFJcELqhBp1i67NTeTNdXpFfL7yQ5MxbPkGnX/8M5a7NxDXFxcBlY+O5mCpTSlFj4Tr1uwTCDFLPR25Ks6sDKC8G15piQ7HvJkyviMVhrneMAkDUkIwY2IqZ750J0RA6lm9ypQ42FXIAyXSjaDFjIHuyQqrUm+Li60vgwuNYV0xOL5rFYTGzfUv58CyoizPowcjyr4TNIMfmIZD4yrO+w1MUsu+z+sRNXg4yPz4Os6qLM4u9XzjWDEuQNncQYIsrMyTMfa+dLEo3Hm6ztCXdhMW+vKa7cy0oIUohJ+NUqKEcbIKjWBUeNcX6UaDnGOAwuk41BBffggog8bN4IbPOofEh+FYllcmeTByrp678l1l9aZB/vQayOyx0apDQDA42XZC6Mf36FpCjJTvboMcDNFOURUJM06VvT/Klh4oSMJQZ0A1X/mzEitC1LcEzYCzfJlNVAyIny40t4iRolLSxOvbHMJcmp2+RrKcVSzoLJtvDMck4TZIaBqKK2HGKvJpPHetYkFUk/cG74BkyKXxj44TlhJNfjHuiN8C4YGX7GVmwFa/STan7HVOFmqYWFx5siskZQvVMJ3Mie9LFIMES41aoVVNAfe4lzKRbdoTQ6peu5DVD8B4y3OdnWwSmqP/VyylkMBfVlZJIgQPLpoGzwC8OqkQIB15tL4oKwuK1puRvhZXOwI3HAjoktpziNssKwzaN8tl25cyZRpR8IFj9kZ0m5lM5pUg0EfJlL+u3Pzhtw17IjzYZQjyTL5C2CUU9Ts2zVJNaqZBKuu4Ug14sBhNECP4Iem7dVpIsfAmG6LrHQ/cu/NwayN+cBM/b5Gtbw0bwfWkSUSItCuzm8O34me4g70Sm4EoCjmxCHZ68bSh8fotr0rjsW34nB837ANgO3WJ/4Pwmo50Q61ZZDXLM71/yOTDKtY0arArYyWDZO9iBSbJ47G1Z7DlfI1+fS+unurUg1tv9HqTy328MTZapXA49K2MccofiXm4fDVarInS41znXoDEHwrjqjVK/LPwNoc/wRBeLEnRkxoNdY2TcyGFYYLESogiQThJRET8bZyDmT4VByDLFKEuVIvfOGdpB7/kXgKWpLDmC31Md2PTxhTihSkKyHKOpE92Ejb4IbQXdhnIIARaq1x5nFWaCLOE+biRe8UBKkH87YW6PazTHth6tI9x5uRM3Gz+2cAspyiCl4dra60kPklAibjK0Uqng1fhN+kQepzeIho+74i1IWWDZOwt1jvZM0mDjzBzUjRsocyvfl8sQfuC98oH2CRG6BmFmetzKz/6dKiEZQkkLarQ81JIfbTDIQUx0gjUrnIF+cJ8zBPOs52kmMP2VnI6BzIh8KrT3Aszv9SVIeMxMM3sjNT0FsJF7fHZqZcl2AdsNXSnx3sCHEZknHXddda6jrjRcuGyShCuiUReDdyOuaKxyV+0X8BPC5i2QaD1KNL9hANieqkhRpIbo40WBp2ppeMJudpnZGMJ8/qgXcu7w+fTx54+UGwbxv9IMWoqlXEiKtOzAaFnjjrktawcy0sqFb0/nwuQcsNw7WY6owg8APtZ+IYLJDk78FS43yMKZr4iUSTNFkaYAylZ4RxcqBpnBMdigkq4UOyYnG2ijdsvAeDCBeejVyMv6Ue+CYiJx8SqYA82hzXhe/FXKm36W689IGP/esmEjbRVlhNO+jSScvP5IJP0cRGs6hrDqTmuuMtzjyei1yk/h2AVxfBAoie1tsKrIZ+UZJ/8aHb3hLPVGNbh6mscU4iQeySzCvOEbgQssh8y77XkGU9EFVffhCNsB+NLY5RjrT5SMJRNM5qGajZ4tytZXTnQABII1WoQJKtVIO3OL/onYLPvE/FLIsMraNmDogmjXM9lWo4Fuca4FgYoOsCA7Iz0DcwJWaQ+bqA5mxUO3O+Qe0ykLtJ9gyvzhKxmh7XglRMilwGAMirdumOXXhttOW9gu+atlkNBT/eMgQtGiZmNTqWLM4NU/xAZXwWZwC4/IRsAIDg9gIh/VI8A2u/yR4XELBOcNIoxYsDqrMgR5htCkDAhXLjjmHHZ3CTmy7N0pD3zFhkj5+mkiFj+mkG+1Buxw54EnPHqM5ol5mKU3s2i3KG2U/EGFUjEQTgQwYpRR+yFXOonuzqdc32NVuixEKJJRXhiWiZIZ7yk+HLLc/hyXu0/jqiEmfzeFKOJASpWyXOq6V2urBt7DzzWJRYa2LvMlfqEzU5E3MOdENU6u6Qbn8lfJbjCNtilzK7Cj6ko8oy5N4nEW2VM16pRtvGydhZoHesu/SEdoASWIO1u5CkXTBa9JcK6oObSPAQs1Qj1RBruQUpMB1jBT60XU9BDsfHR26RY0g7FmcHUdAlKw0350TLgle/UIT0Gi+HVQcRlTgnMNDUfx71rwMhNhZnbpBj2bqs0Kd1QzRNS6x9HQsJUBgW+uSMnLOlvgk1T+soFforjOstJ3awkzNRQ8ptoiPEZskGm4jwZFezTFuXnn2nbgsLFQCc07eladux5kTr4srrdQs4v3+rmM8wprs+kYsxqka8aJLmQyX14WzXQrgIRTLRO2jFez0t+kl0KsATM2MGv2KLBCRyGTgHxSjhQ60ixWggKEC6KkU4MzQJw0Ov6o4IwlMDTbM1km00/BFF5+tHyDJ+dAlNQWaq+TlYNBc7SUWFQpgrDGNqdmAqHolcrV0nTqnG2OO05C4ssZjfp5WLvW+JC1UZLTJHJfwIUWuphjFkXLwySt66PNX7FN70TtbtL6dJyCDlwFKzTPZowyHONUB1wpfZ4fe7huN+zumspqjOEHQM8A1TNILagEYgEq81VR5wTNTekQMhda1ZNeNYcg7c7umM7MBUbKBtQSmNW6bACDNvzTM+rotEf37JGHWDAysGXx42EbGyONuBfZ9WzkQAMNpAIPl7x4umabUTcqx/20bIe8acxS4WEo0sekav5ubQgQlGCWKYe99InX68B8nT7Y+WdIUHkzjEehSemMXjiGYsQzRDB7N0WlmcAaCQpseQXhAEqBfBOOQK8cKuPuSU2xEkkaBqredRihQ8xEXb2k8zsFLqoK682NUdez67JC9n92mBMd2zolic9c/evok5trVEzFINSmJH1QBky79eqqH1MY2IPpuk1UqXFZj+3Q6LpO7YJjUHinfGdb0jCYc41wDHwPicGI6B52GWi0SdaaKhJu/xWAqBVl9RW5bGYykBihGJhqPjiYgxTF9ZSlv8KJ6I28K3WV7DqH0msCcKlAKSxCJsmI+y+3aY5tJtsbRrh0Sbwcm1lHK+uqiNmPzVtTgneV1oI2gygTTDkrZdNBMjGFm1siTy4AlfNILFgz8umoZbk2pYk8pPxDH4RhyBX28banuNKvjiLlc8qAhZt1sm1UhGUKf1ZiihKfB7tHd5QvB1nB16Mq5kOABQYRN/+pWL+uLdKwbY9pVGQm5lMefbxE0jOyG7cbKSwwAxy1ZJfbqoGrwE6ybXz7pjjW25JQ5Zxno+xbXE8l6i4tQ8U+qHUaEXgdGP2ZbraKHOiDMhpA8hZBEhZCUhZCkhZBC37wFCyFZCyCZCyCl1VYa6RvXi/h6Do3o9QvWcA2Ptt09eEPc9KMXih0YhtxZTYR/riFWfrTOsY8PW9H7HgsaZR6tG8ddDhOjb/6pHT0bDJL2ljhIX7gzfivU0O+q1vG75WuN6t1C3aZp9DYwIdGmmLcmfflxzJHtduGiQdRjGWBZnKyS6QuEWYvcB0cgWQ3VXKOyWze1gOfFgUTUs+rN4efmfYj/cH74uobIwMKlGrAlOkFoT50Jqtmwy8PKMaBMDjTj7LNvA1+JIfCuOQLrf3uocgKdGq5DxT1zlOM5JCOkszsznwMoKDYCzOFuTU3b7WPJHuyZvXLHgHatZu6McSb5jdFfk3jcSVOAtzvb1p4WjkydYfCIhY6ptvi13IHuxwH8HrnFN1x2TjAAmemQJxmxRr89/LHIlng1fhFlSP9vyHG3UpcX5OQCPU0r7AHhE+Q1CSHcAFwHoAeBUAG8SQmpv3d0BgOpZ8XhvYDuN19EG6xyvGlr7evDqSAs0qQbQNM2P7EzrjvN/DXY1+dMtQzD73hzce3JnPHlWz6jHJnzPYymqhlLWL64bjCZpvrjLTFULpTzgNUjyWKbmjn4R+Ui324WNT56K/w5tF7W/aJLmw9Rrj8fki/uq21o1Ssb6J05Fx6bW+tawqnGu3RS9AHD98PYAgDR/bAujq4ZWYV4rakRtJIFlK2dWUo0OFsvtA9o2wvc3nwgA+E0chD00E9eF78XX4shq3T9AzdFPrBCEWQtbQNMwLjjJ9hyeiEWNqqGQzgC1z6IZC4EaWpyNr7JlQ3MMZUCeDHhJGD4S1skq2ATETmohKPIpq0g3PCpszteuY3e+vJ1Za/nvmf0l8e+AybWIvcWZd0Cuoj6E4UJLchive17FFa7fdcdOjZyk/s235S5kNwBggKDP3suHnePTfgNy0pu3xDMTCjl7pFGXUTUoABYRvQGAfcrfZwH4klIaBLCDELIVwCAAf9dhWeoE1fnIj7TuMxEMys7A4rxCNG/gx8+3xrbUHA2wDjjF7wVsPPaNiGlRqgHRevD0brj3m1W2He3/Kgixbum9WzcEANx6UieLvTXDsZRym7XJRImdi8ptnl9xMY6lqT7rbj1PykK2fHd1G7+sDNj3Tyd2TCz0JJOSuCCiaZoPz57fC1d/aL00myjsnq+6iNZaujZLw7Q1+y33JfrurPoh0ZCMhofVZGZk16bop4QfvDl8p82Z8YMRvkSkGoeVYf1zcRT2wj4JWCROjTObBFbBGzX+u7E6xoevRXsiv5s/xP44SBuhNcmPST6rC4+LIAIX0pTYwpWcrCJWWEEmVbCLrc6kHDEtzlEmuHeEbsZa2g5ncitIgFZvIm+fZKZr3uJs0IgH4VFXjALwIkzdSCIhnOH6BycLS3XHbqLayhNPnPmIG+cI8/CLdAKSEdRF1NhnIM5HI+hAoqhL4nwngN8JIS9AtmyfqGxvCWARd9weZZsJhJDrAVwPAFlZWcjNza2rslYLS5cuxaH0xCyzBw5Yp6es7Wdbm681zHivHa6UvWPPb0+xblli8xh2j/Ly8lp7lpdzknBXrl67xzqmHXl5ANqY7m9Vrt277VOC5ubmYucu2Ulhx/ZtyMXuhMroAfDqCC8WLZgX9R52qM36OpowPkMkEsbiJWaiZPWsPKGIVRfR6mtHidzJl5SW1fs6LS2V2/XKlStQudOFNflm4mL1DGlKJi1RsQbl5uZiT5k8KFdWViI3Nxe+iFafrL6uD3wMCQTv5eaiZMd2HAcgHBbVe4iifP/5C+YjxUOw9qD8u6DgcNx1yR+3QcnKOU0cjAcHCCjcvjbms81fMB8AEIlEot5zxw75e83buRO5udaklmF3WezJdWlJqX2bytthe962bduQK+6KeX2G/Px80320RDjyO4tV15UH85Cbu4fbUjNDDNM4x1oZ4InzD+IwHKQZ+CZGQhmeAJVHIbNaHGcvMgyh5ngsWrRI9/tLUbNy/i4Nwu/SIOMpcWPLli2634GAOX5wugcIR1xqBBPemZE9gwQBK1asMJ3LpBo8qeTfNSPOfFQNfj/7u6qq0nK/QICfJNnYNaF5CVau1MpQXi7X6Y68XaZz1+6rxMnqM+jpIC8rCRqkMF6DtIePasJPDhpDdhw8zbUEp7mW4DJpJvoLWzAq+Lx6zAHooysZJz71sS+vEXEmhMwEYBW48iEAowDcRSn9jhDyHwDvAxgN6y/dctpMKX0HwDsAMGDAAJqTk1OT4iaOGdOi7u7ffwB6tmwQ9Rgjfs5fCezba9pe288WWX8QWL40oWt/vmspkH8QPXr0RE6MeKTGumH3yM3NrbVnyS8LALmzdNuY5SK7TSuA6+tycnIs31dOTg4WVKwHbAZAfn+HDh2QM6IWJSBKeaLVR23W11GB8RmV3x6PB8cPGgjMn6s73OpZKaXA77/Z7ucRrb4y95YAf89HamoqcnKGxf0IRwOT1y8AiovRr29fDMjOAN2YDyzXTzSsnrNs23xgt2bNy8nJwaYDZcCCuUhOTkZOTg6qQiIwcwYAKHWRgxD3ntaQAmAn4PJ41Xu4c38HIhEMHTIUDZI9CK07AKxYhsaNGyMnZ2D0h7FoA3vRBO0Dn0GCgFdOOQn7S6qAOX/pn83wvQ4dMhSY9QfcbnfUdrAqsgXYuhnZbdsiJ6dL1KIdKAlgwoJZUY9JSUtDTs5Qy/6jQ/v2wJZNlud17tQROUPambafc3Alflhh7uOzsrKQk9NXdx+2dM+Is+m5DWW676LRtvuqA805MDpx5pfNg9SDz8XRUY6WwYdrK0YULTQjztSL1q1bAbvyLI8bPHgwMHd2zPtWB/dfOBL7v1qJP9cfBAAkJfmBgN5o4/f7ESnXKBMfPq+MJqMJKYUIAX379gX+0RueGHHm65H/BlSNM3dNfj9rF912LMaBTYdwfLsM5OScoB57/OZF+Ht7gXrsCRERT/0j9wFpaalAaSnatusAZhdi1wus2g0oKgqj/npy5Fw85vlEPg7eqNkJIzYp3psbYjr3F+RBm4/1HMviXB/HxxqJSCiloymlPS3+/QTgSgDfK4d+A1mOAcgWZt6jpBU0GYeDWkJ1HN3qm4jEatmYdbJEsu/ojbKJmEoNyyxpDmqCRB2n/tdgjpcc35K7QGVLMK8fNTr0xap6gTK9JbfNEFaxNiKd8CThaEnUmjXwY+bdw6Mes3pPSbWubdfGjfIXBiupBlvit4o6cCTAwtElokWPV0vMk2WrCBTG69mFo2Ooyy4l1efGu1cMiHqMIOi/O97K+rWYAwCYL1lnimUW5Vi63VgyhUbJ8j0vGKB3ymXf7duX9wegjzGuZsa1cCWjNhrn7MBUfCSeqv4OUk/UMIR2spw2JN/y+FZEiwhTQNN1++wii9Qn1KX6eh8AtpZzEjT74M8ALiKE+Agh7QB0ArC4DsvxP4madTL1QyNq9QxsZssIhBV+vnVI1Ou+o3QupvvVu6nDsYtEarK2wtEdA9JmExItsrbkyxHnat+VG1zViCQJXywu1CbpSfRadg6MNb1XTcPRDWjbSCVSdhkW6xqqxplE1zjziDdGdDEXccMu2gR/vQC8Ub/hI5kgx+pWAiE6gsgT/T+kAWpcdisIKnGOrnGOGQPZZjerN+Ywy9cVa6ZWDqiEa8PRJkRydkZ74izCbHEeSDYix7XK8nieOAfgRc/Ae+pvOwfL+oS6JM7XAXiRELIKwFNQtMqU0nUAvgawHsAMALdQSmvf9foI4FgcqKNB9c5P4Lm+uG4wfrv9yC2LM11dWXJb9GvT0PKYxobMTUM66R2bRnXTx3/9l73GeoQjOxGpjbCCRwrGIvZu1TCu8ypdsnWGX940RtWI+fzM4qwbXFlEEmp1aI1xDLwSS0SbTNc0qgYhZo3zkQazmnpjOAfyiN/irJFlZq3MTPXhihP05DKiOKUFqFe1qFohMzXx7IDxRF6xgtV7//Sa43XEmSeSRVHC8gHWUg0eb4tnAAAOUFnvO7yzvdMlYPGdRik36xBiJdmJNiEKwqOuTliBd4pk5L+HkGd7fCtyWLsvdesmIZX/yxZnSul8Sml/SmlvSunxlNJl3L5JlNIOlNIulNLp0a7j4MihOhbXEzo0RvcW6bEPrAasSvOjNBTZgamoTMqC1x1f8x3ZpSnWP6GFCzde15Fq1A2OdH36lLjEWQmm6j4aUC28iom3caoPP94yBKsfOznKWcCajFNwW+hWfCCexl9Nd0wsmYxq3eKceNSQVUdxFunzyN+zcWJ7NNGqkX20HJdNPcfb7gkIVkuyRvogbZRw2WoDdSnVKLEgkw2S3MhI0RMwNeU2vGobsAL7vhNCNdtzswbmPqRN42Rd5AmeSJZE0XADsS3O34g5yA5MRQXk9ua2mZWpsouodzOeI0OKGfXXvuEG4Ynb4pyMIB51f4wuZDfC1GUZSYS3OJfDr0vP/r8eVeNfj/qczKQmsoP68lSpMawFiYSlSvZqxxoHtvr8Ho9VuAR9C+yclYpthyrq9J5dmqXh+fN74eTuMRxb6wGsBsA+Sqi+dy7vj392FFqeR4mAX6QTLfdp146O8kw54cD01HPAUgwQg8a51hFHd+T3uLBw/EnITK0/Fic7AgPYT1Di7nkJ8IZ4NmZLfbCWtk+8cLWAqjijavCIR6rx+iV9cdvUZabtVq2rFMkopinYSZsZ4ivUHNUNTdmqYRK2pnhRWKFPC21ncY6lXf5eHIoxrmVYJ2XHdX+7EKpqk6tW8jWrMmqtdUjHxrIHmgUC1IsAic/i3FbIx9WCHOd5P81Ac2LuyxhxvjT0AEoNk476HL+Zof6XsB6jOt+kneNIbaOvjYwhGuqbxdVoYchK1wbUVo2S8ex5vRK6Hjvf5JilWpzrWQUcw+AJR7vMFPx+53BsmXhalDNqBxcMaG1KQV0vEUUWdXKPZphwRvfqXzpGOw4nZSI7MBVrfVpmrg+vGojz+7dCZoqPL94RR4uGSXGvJB0JiFE6ebtqjt/iLJOEuiTN0cLAAUBQIc6JLI/Hk877jF4t4k77HYQX/YJv43cpunNedVCTaWDTNHOd6Ilz/NKR6dLxyA5MxT7EFw/dbuVH482GA6KsmqpSLsHa0HRb6FacHHw2Kp9JxOLMI582NG3bSxsjE7JD7iGL/ccC6k8PdQyiOh/l+NO64taRHWu9LEY0jKIVi4X6qt2eeLbmsdy+SYpJyxwL3988BK9x2c9aZ+iXYR3aXHvgHacopSCE1NiZ6t8EVhV1YeGtTjUf16oBXrigt+kd1dOuAMCR6aei3cPe4qzf3rNl3UjZYqFr4EP0D06JekwQXjwevhwXhSYcmULZ1KdsZSS1/k6rfT2bbyiscw70IETtDWE9aiBhZJbyiWf3xJfXD9aKZTPhVv072HHcPk2GZU33fpFOxGba2nIfQwBeBKNqnF2YGL7UtP0QbYA/RdkZ/67QTZgUvgTFNBUuJZNitBB39RnHZqmPYaT7Pbj3lC54ffbWo10UE1i6aKMGrb7A7eLJWOLnt2yYpIaq+/S/g9ClWfW97R1Eh0sgqqPPmO71R7NaX6CSqzogf7EszvHw6posvgzMboQleUWGe5ovuOSh0ViaV4ibPl+e0PWP5PQr2uuxyxwY72Sorhe4AnFakT8U624l6OzgEyhFctzHt8vUjk33u1EaiN9p0Qo1mZhajTG8FjdIvRgQnALBJiJKUg1Wl33Kqstlg/WOlHYa52irpmybVVbDeNtgTIszFfCeNBYtyWFc7dbScefThng8ciXSwxU4BFnHf4pLyzoYosfA6qAFHItzDRAzlXOc6FpPCNzdYzrjw6sH4oQOjWMffBRQm7GBh3VqgqaKExl7j45BtPbgEggapXix9OHRGH9at6NdnHqHxXmy7q+4Klx7F60n5uFP/3u8aVXN6tNtkuZD0/T6o2e2ghTFW9JRdsXGStoR22mL2AcqOLVnc/Xv8/tHt4LGwsWD2uDzawfHPtACBMRSH81bSAPwoBQpKEbtjd/dmzMrtXXjYpmyE6EeqrwjhnMgIcDbkbG4I3SzaV+AeqPG2WYSFqMFeQ9tiiC8KmkGgCrOch0tNnR9hmNxrgEap9ROp//jLdHjDlcXix8aldDxHpeAkV2a1klZagN8V5KeVHsfnBRltu4gOp4/vxdaNDRHHmDW5vrk6FWfICqNbtXuYpx+XPMYR2uIpmGsC1THOOD3uJBliEpgX8T6/c1Fq1s7i7OdY3a0mrzqxGyMP61rAiWrXfg9AgLh2oklPfPu6Km4jxSePtc6GYkRVnH/CbF2LCyjWl8XS+NcnXmsoJoy7c6W21YiTo9auMro39otIzviknfNcgsgHo2zXPCIQeu8QOphOpYn4MZrhqNIX+oTHItzDdCmcfxLUNFQVw6DTdP8qlX13wBeqpFIRI1YOJbi/9Y3XDCgNYZ01BxeHh0nO7V1bBI9PJOD2kN1F77qMpqMXai2o4VxveO3evKINvGzWwGLd+WKJ9hugRwxx3ErfHdT9EgtiaBjU/tvv7Za3NKHY6f8jhe9LGKoE8BypayMk53UhT433mhY5shQ1ttjIRTRJkvpfntiHIQ3Rhxnue2mIKDbvsbC8ZUnznwd9gy8hz7Bd3THdmpYPylq/SyVAwcG/HjLEDXKRpesupG21K+h/tjE0Rz8j0nUZqOL81osVm60gbKmSPHp24FtlIAaPH8ixD8ama2uRMvuPJdgPazW5/6lWXpsA8s0cVDMRB+1iZN72PtGxFrJ4p/nmxtPwGWD2yR8/zHds0zJvcqoRpztooaoeuOE71hzWN1T00Wbv5eVu4vjum4QnqhSDRZVI4OUAQAeCP8XAwNvWIaWq6Lau+OJczmS1TjWDPVEfWaCQ5wdHBNgMW4BINlXu+SsvkYRORbhJJOp/+jXphEeHtstajjH2n5/tRlirjplGxElE1vPlg2qWQ7rgrhsHtXYzST6HNXJnFebuCV8J/oaLIKJIhHpT3VCqjKM7q5JDgdmZ+giMsUDu3dTBvuEOAzBiBwTO1oyFzu/pnjbhCmqhmGD7jos2VKMqo9+bxJVqsEcDxtBJs77aKZO18yDEfAgdccdsrC+wdE4R4HHRRAWHVZV31DrIYvYHw7bqzEc2UvdIupSbpzfBSEE1w47sgk3Gtj4JBypZjK4vezw3CTNh0NlQd2+T64ZZHteNIdkOzlK8wbGMJexMwzGenW/3jbUMpudHbo2S8PGA2VxH19bOLdfy1q7lsfGch8PamuMME5WeIuzHQa3b4zz+7fCHaM6Ydhzs037V0wYY7syF+t7iNWvWvpAKP/XtE6iSTWYxXk3baL73wos6U48joH1dRg5Nun+EYK7Bh+ug9pHXZGxo7m09m8DS3fdJiPlKJfkfwd16hxYd5euNto2lttWduPE25hVVUWLee91R8kcaDM8JHv1pMhOUsIT6iYWyTZ49GzZIKo8YeLZPXW/rzghO+r16gpsgmIEc6Rs2zgFHjuTvAFHM+47ezdNDRKWsjhC63lcAl64oDdaZ1gf2yjFiyTvkZO0tVV8sWJl4rWa4EW42M/xWJyfiFyBi0IPR42kwsIkxpOBsr7CsTgfZVw0sGYhd/7XcUL7xmhc4yVMx0paWxjVrSk+unoghnWytzg40BCvM9CRRk3LVZda9zN6NUeLhn70a2O9FFxdXDyoDb5YvCvu4+2dAxOvu2ipvWPhssFtcNngtnj4x7XqtkSLUNcRhbLSfHjy7J4YkJ0Br0vAC39sqtcSObvqqO3wae2bpGD7oQruvvG9B1Mc5yjHPnFWT4zp3qxaUp/hwVeQReSY7FE1zko0jAB8WCRFz3rKLNexonzUZzgm1aMMh6zVDF9cPxivX9Iv9oFxoL6SmGMJhBDkdGlqG6rLgYw2ijWKT/gQD24fZZ91tD7xkDHd6i7pDSEE/dtmJET2WEKJbs0TzeYWxeJsR5wNbT+efqU6xPU4RZt9gUW8Y6PVO+b9E757YtehAEZ1y0KDJA+SvC48WEex3S83JAypLmoz3Gk0/HDTEMy4U3NArC4f0CYh2gU6Z6XilQv7wO9x2SahinW7fcjECtoJQCyLc/ztjUk1hDh6rPo6jDjE+SijiRPn9qijPls+HPw70b+tbC2Nd9maoWGyF36D0xHTgkak2onDWxuId5n9SMVOb5zqw+fXHo83LrWfZA/pKMsM4g11aVd0Oz13NNQkmZZVOcb1ql74vbqC8fFYltraRues2on6caQm/g2SPejaLPHU3HalY22BEII/7hqBs/tqmnOrFsa3nVifohiFHIsJUMkqRaoRT4SWszrWzyzGDnE+SjhTiStaVx3Ivxm1zXOdSBAOjiUYLZgsYgUL11ib+DdNKod0zIxKis/o1QJvjEpG79bxRdnISLEe1Ed3a4pnzzsOV55QO9bPWLB6R4nqg2ur7xvbK75kPmO6Z+HDqwfWzk15xPEgzBo/8+7hmH1vTu2XoQaI15EvEamGekwtfcuzxL6mbYlYnANKmu18m6gbPJLqqZi4nhbr3w9BnRke3XIcS4hVVZmpXluHjGhQI0FUo0wOHNQE1RnMjM5mWek+3H9qF5xxnL2V8Z3L+yMYScAiXYcfwx2jOql/17dEKSkeopuYWBVv88TTsHxXEXq0sCbYhBBcOLANnvptQ9R71TQBTU2rLtnrwgOnd8PUf+LXdce+ZvyUordF4pFY6Ng0FVvzyxM+j4fXLaAyJCIjxWc7+YmGc4KP15ljW6wVmNr+Wvj+J572dFzgPVTBi62uK3TbE7E4uyH3Q/m0Ydzn1Dc4xNnBvwZLHx5TrfMci7ODYxmEENycY699BoCTezQ7QqWJDT4+b8+WiS9TH2143YJt9IhjCeN6tcDlg9vi8sFtUVwZqtN71VaWyul3DEso3XQ0xNvdj+vdAr+s2qf+ZppfQE608vAZ3TBrQz5+WLG31spUN2NRzevNLqpIIhbnxqQEAHCQ1q5z75GEI9U4yvg3LYXWNbo2S0enpqmYMLZuHEscODjSqO+Ttbruno6UxpnHvPtHHpH7eFzys7mV/+uV9yaObNuLlXwjXnhcQp1IkqJh8kV9sP2p0y33ed0CzujVAk3Ta8dXib2TmLzAnAFFPr9WSpE4oumfjfhGHIE/xP6YEhlXhyWqWzgW5yh49vxeuP2LFUe7GA4UJHld+PPuEXEd++i47micoOOlE1XDwZHG/+LE+Wg/ciJyrpr0CLeM7IiISNE5Kw0rdhVbXLv+9Df1qSyJonVGEnYXVgEAhnbMBACdU1x1oEu8R4jtJEO1pNdSoz67b0ssySuyL1fMBCiJvUc++kpN2kAkARtsEdJxffieuI6tr63SsThHAXPgq0vUd4vTsYqrh7SL+/0d7YHcwf8enM++fqAuoycke9144PRuWrrxWr7VsTTpilXWx8Z1R8em1YuIkcLpqttlpiDvmbEYmJ1he/w1Q9oBAJJ9tWe5rq1X0TglurHHrh6re/8sJRvl6cfVTMp1rKbOri7+t562GngpJ3Zuegf/EjhsxsERRnUGvCNhHXQ+hTpAlJedlR5/Ou3ags5oc5Rf+FVD2mFmnKuJRiQ6gbh9VCfkPTM2quQjUYPW2X2iW7hPrW0fA5sCRis2pcDAwJvoHXjHtK9hsrdeGvHq69zQIc4xkOF3qujfjmPJcuPgX4J6OEg5qBvYERJ++xlxhnGL57oJXKGmF4gbdekEWlvOgtUBu3X3FvLz2YU7ZA6x/bOiW7njfqfVfOZDaIgSaJZ9Z+yrHupM40wI6Q1gCoBUAHkALqWUlir7HgDwXwAigNsppb/XVTkcOHDgoN6hBgNWbUUoiOtezshaY0SrwqUPj4bXLRwVJ8nj22lyhrpO+GF19dq6Y1200BM7ZCZ8zpTL+tmGKIwXserEVmtdzUpgp9XXDH31tFh16hz4HoB7KaVzCCHXALgPwARCSHcAFwHoAaAFgJmEkM6UUrEOy+LAgQMHDuJEXRI545Ubp3hx5+hOlsf+25F5lDLHLnloNJqkafdO9bnx1DnH4cEf1lgeP6hdBhbvKKz2/a4f3sG0rbYIb7yTuxPaN445Qdg66TRUhUWk+RPP/nhqT/tVg7qefqq5CBL8bFs3kqWonZqm1XaR/tWoSx1CFwBzlb//BHCe8vdZAL6klAYppTsAbAUwqA7L4cBBXKivs1sH/0I4jU3FsgljcPkJ2Ue7GCr0aYhr/qJq20pYG+BJM8Mlx7dR/+7WXC+taNWoZr4+J3Sou7jX7TLjcyr84vrB+Oza46Me43YJCZFmjysxClXXVvZo/g9W5+R0aYofbj4RV5zQ1umSEkBdWpzXAjgTwE8ALgDQWtneEsAi7rg9yjYTCCHXA7geALKyspCbm1tXZbVFeXk57Jp7Tcpz8GAAALBhw0Y0Ktla7escbRjroLy8vE7eU12++wMHggCAjRs3Ird8W61fP1rZ66q+jlXEqot/S30dVNvcBuSWJfb9S5KWAbCu6mvNoQgAoLCwMO7z7Y4zbl+9ejWwv35EQpUkqitfeXk5CpXQZgCwfNky0zmJ1uf6/XJd5h/K151bVBS7bjs1FJDiIZbHlZXK5Vy2fBmKtum1s9Gu2yZNiHnfYU2C2LBf+33wwMGox1vdt1UqwZ5yalue8pBG5az2G7fZlbmg4HDMY+oKt/eU4rrntm3yuBKJRKIev27dWgDA4YICy+P27ZP7jc2btyA3mKduPy4tjLUAdqxbjoKt1nxlc5G2qG+89pztwL7yBDKLJohxHTz4ZVs45nHdGwtYX6CVo7Kqql729zXqvQghMwFYuYs+BOAaAJMJIY8A+BkAS01k9VYtJ1CU0ncAvAMAAwYMoDk5OTUpbrUgv7QKy301Kc8PB1YA+/ehW7euyOnbqtrXOWqYMQ2AuQ5yc3NrVC9GeP78DTcM74CcnC61dk0jfs5fCezbi27duiGnfy2+C5s64lHb9XXMIo66Av499cXaXJcuXZEzoHXM43m4Zs0ARHkQtK0LpT5TU1OrVV9k8yFg2WJkZGQgJye6lc7u3Y3ZtRT7S6qQkzNMd9xxvXohp0vThMtUq1DKQoi+3Lm5uWjUKAlQyFi//v2BRQt0pyZan+Wr9wGrVqBpk6bIyemn3jueuo12q9kla7Hj753/396dB8dRnnkc/z46bEm2JR/yIVu+5EsWBhtbNhgbI4wxxhzG5mYJkJAlEMguIbCYcCYstTkKdsMmGwqyJCGVBLIbqJCiEkgCWgdCIEDMYTBgghPEZRI2ix1jLr/7x7TksTQz6tb0THfP/D5VKo3e6Z5++9E7Pc+8/fbbrFi6mEmj6npet6eOaX+nu2rtfDraxmZ+UW+d2bNb4akne4qbmsbBa10569qzXc+DHTBl/T0cNG0UHR0H9ln27b+9D/f/os96/PweDpk5mo6ORX33KUNdGxsbYdubmZcJW6+Yrl213NfyLS3T4IXNVFZVZa6jt9z+c/eDJ37HpPFj6ejYv89iv/rrM/CnPzJz5gw60s7SHOIcX/jI7Zn6MIO6l9+GRx4GMsep6393woMP5N6fAZo8aTK81H8HwZXrFnHqLXv6Vetqa2N5vM8rcXbOrehnkZUAZjYTOMor62JP7zNAM/AaZSrJE88Xw4vXZb5jk0iSxf19H0btbjmjPYRXiVYh/0v1tcHH0aa74ug2Tl44KZU0B1DM6xB/s345I4cMCrTOk1evpLa6uHcHLDS/MV82YzSXHDGL0w+YnPH5zyyfzqt/fbfPDV7MjEFVuTfS31jw5hHB2lG6q49p4ws/fXbA6ydNwcY4m9kY73cFcAWpGTYg1ft8ipkNNrOpwAzg0ULVI+6KeYW8iMSL3v3RyhT/YiWWVXlOZVBdWdEzDVoQfvavd4410JqOH15LTZYkuPs1h9ft/QWiobY6Z89pKauoMM4/dDoNdZm/VI2pr+HWsxZSP4CLF/348XmL+cHf93OGKYNCz8oSN4UcaHaqmZ3vPb4T+DaAc26Tmf0IeBb4EDg/iTNqNDXkN2F90pvZsXPHc1ABL/goKmUvkfu3k+cVdK5XGZhyn41uWE14H5HqJAmuqsL4cHfpx80sHu+1BZNH8srbOwOvN230wO762FtS3iMFS5ydc18DvpblueuA6wq17UL7wScPGPDtQbslo3lkd+OpfcdfJVX3/yLpX2aSrPepx3IxkDa3cOpINrzwVuh1SRfHu4gVQq7dPPeQabSElBAE3XYhDWSYUNDhFn7UDkr1RJ8wP/t1JYfMHM2vNm8Lfdtx89MLlnLfpjeirkZg9380j4n2FkumB5/3OsnK83xIng6a3siYkG6RGvexjuWkXJIFiY+BfIG+6fT5odejt+5TwRNH5jcNWbqDZ8TvwzVX/NPPqNVU5/9RmcRj/dr9J7D1S0dRNyj8Praa6kqe++IqPr96dtZl/HzOOgd3X7CE36zv50K9GJszoYGLVhbuAngoTGfdeR9cyCun9X9Bof87Ig5wvSJT4ixSID/61GLu/9whUVdDYiifD4RCJDG9zZ04nJs/toCrj9kntNeM4u54+ej+DL/p9Pncd2H+7+Pep6ELHY/uuZrXhXA2J72q1xzTxmeWT+/5e2kevY21gyqpyDE+9qqj23y9zn7Nwxk/PLwveWGLwzCMQqivHcTy1iwztHjWzS+9s4lKnH24ds0+3PMPS1kxewzXrgnvgwSSM6ZHgls0dWRBT/VKCYjx23/lPuOyXtiVjzikz1/0juNfOX6/fpddNacp8MwV6aLqaT5k5miAvhea5Vmds5ZM5XMF7h3t1j2cI6m6z9gk7Dujb7WD+h/Ck8QzLf2Jxyz0Mdd9V6tvnbkwtNcsvaaUXH5v2SoSFr3/o3XG4imctmgSVTnu/BbeXd6iPb4ESVxmjR3GPrpIN3Sl+n7/yEffq8P57nHvvVhcP5rV4xyRmLaHslaqvQISP+X8/o/LvudKmktBtqQj12Hu3s8u44aT5oU2HV2puffCZVFXYcDyTULPOmhKz+OL3j+XF3ZPwMpsGrpupX3kSIBSPI2RNHH5IBcpZUk70oV1XMh2jA87HtefOBeAldnuCjgASfufFdqsccMGdJFrEj9jhtVUsfGqw3v+Tp93/M7dy1j5/ld9JeP55Dhx7czSUA0RkSKL6eeBJNjxC5o5fkHfqd3CGCqSxMQvDuLUMRa0HdTXVDO8LpxpCP0mwPs2N1BfU8U7uz4MZbuFoh5nERGRApnsXVjYPnnk3k/EJ6fqo3eKlauqce0VlPz0/r8W48tTfU01T11zBG1N8R5nr8Q5Iod7p9MGcstUKYw49Q5IeYj6wjEpvDkTGthwyaF8fMmUqKsCBJwGz1t0mTdDRxw1j4jvNHQysC9WcT8qaqhGRI7ebzyHt41lcFWyp9spBXG9cldKl3rpyks+09nlq/fxbejg4B/7s70ewKoYXgx22erWqKuQDPqcC416nCOkpDlelMxIsXTPj1xVoUNw3Fy4YgaNQwcxb+LwqKsSqpbGIXzjtPksmDwi8LpxPjYm4XN0xewxnNTezOmzw791eaH0/sLVXwfT9z95QMby/u66uWR66g6dfuZUjwsdtUVEiuySI2bxmeXTWTNvfNRVkV4WTB7JY1ccTkNtdf8L56HQ4zh7DwOqqa7kqP2afK07x5vL+bBed4VTp+XAVFdW8JUT5jKiJrqUq9D/uyXTG2kc2veLwaWrWlm9b/Z2V1udvIEPSpxFRIpsWE01n1s5q+TnEk535JxxAExrLO+7ac71erIH0vObjyC9xq3j6tl87aqeRDvGHc4S0EHTRhV1e8NqqnuG+uSUoEZWPkdtkSzUiyJSeCcvnMjma1dFOt5X/PN7u/X9mhsKXBMJwyivN9hXEjtA3zt7z3CNExc0c17HtAG9Ttzv5qvEWURECs7MfCdjJa1ISUEhZglKT2iaGmoYVWNcdPis0Lcj4WsdV8+dnz6I9UcO7GLKczta+l0mPSn/6olzuXTVnm21jB6Sc91MrTWundBKnKXsxf3brYiUnkDTwkUsU10fvuwwru+oozLCmTYmDI/3VHRxm25y/qQRVA9weNiYYTVce9ycvcrC+eyMV4z8SN6obBEREfEljOSmOzWe2pi717CYfv1Ph1Jf4As4M1nZNpZfv/jnom83jsL88pfpteKaUqvHWUREpEiKlQz07u3MJ8epqDC+/fGF3H7O4qzLDCryha4TR9YVfOaTTE4/cLLvZcv1plrzJw3vW5il4S+Z3ghA67hhhatQyNTjLOJJ0qlTKW+fWtZCa1M8PmiWt45h0khd8OdXdwdw0o42h84ak/W5mz+2gNZx5XEXXH1O7JHpbMZv1i9neJ3/LzTr9m/muHkTGDGk71R2cY20Emcpe3E9HSSSzWWrZ0ddhR63nrUw6iokUrHzr0L2fq7cZ1zBXluSZfwAxp1nSprjTEM1RDxx/XYrIiIStXw+I9M7qDZccmi+VYmUepxFRErMl4/fl33GN/DnF38fdVUkYkk/o3bDSXMZMlipSilJ+lzuefU4m9mJZrbJzHabWXuv5y4zsy1m9ryZHZFWvsDMnvaeu9E0YEhEJFQnL5zEnAm6MUUcRTVFWVI/adfNb+YIDQWJpSAtuZSmfc13qMYzwDpgQ3qhmbUBpwD7AKuA/zCz7pnvvwmcA8zwflblWQeR/JTO+1lEEqJYMy5UVaQ+5oeq11YSJq79qnm9k5xzz0HGnVsD3O6cew942cy2AIvMbCtQ75x72FvvNuA44Gf51EMkH909QDF9j4qIBOd1CLSNr+fzq1tZu39ztPURKRGF+go6Afht2t9dXtkH3uPe5RmZ2TmkeqcZO3YsnZ2doVe0Pzt27Ihku0mVxHht27YLgGeffZahb79Q1G0nMV5RUryCUbyC8ROvfOO5ffu7ADz++GP8ZUvhbkH+xpvvAbB583MsnVDNpsdfCX0b5d6++tv3d99N/a8feeQRXq6rSES83tq5G4Bdu3btVdfOzk5e/NMHey373nvv+d6fs1sdVz6057W6PfjQgwyp3rvXaseOnQDs3LkzlvHqN3E2s18CmQYYXe6c+0m21TKUuRzlGTnnbgZuBmhvb3cdHR25K1sAnZ2dRLHdpEpivH667Ukee7OLufvOoaPIY+mSGK8oKV7BKF7B5IrXvzZ00Th0MAfPGJ3XNoY+9Wt45x0WLGhn3+bCjUO/e9tGeO1VWltn07GgML3NZdu+fn4PQL/7XvvoA/DuTg444AAmjxqSiHi98vZO2PAANTU1qbqm7eurj/wRnn2mZ9nBgwcH2p8rH9rzWsM672X7rg9ZunRpnxvZDPn9Btixnbq6uljGq9/E2Tm3YgCv2wVMTPu7GXjNK2/OUC4SmauOaaN5RC0rZo+NuioiElNhD3XQ0LDSV1VRWv/kxS2joq5CLBRqHue7gVPMbLCZTSV1EeCjzrnXge1mdqA3m8YZQLZea5GiaKit5rOHz6SyxA5yIiISnW+d2c6nlrUk+s6aDbXVPQlzy+ihbP3SURHXKHp5jXE2s7XAvwOjgXvMbKNz7gjn3CYz+xHwLPAhcL5z7iNvtfOA7wC1pC4K1IWBIiIiUlJaRg+N1V0+B+LJq1dmfS6vGeYSPJtVvrNq3AXcleW564DrMpQ/BszJZ7siIiIiIsWmW26LiIgUyTdOm8/pB05idlN9YTeU4B49ibfGoYMAmNo4JPC6J3RfqJrgkZGaEV1ERKRIpjQO4Z+P27do20twfiIx9dD65Zxz2+PcckZ7/wuneflfVheoRsWlxFlEREREfBlcVcl3P7Eo8HpxvRNgUBqqISIiIiLigxJnERERESmeHGPwXcwH6GuohoiIiIhPGy45lDfe2RV1NQqi2KMpcm0vrgM7lDiLiIiUmHj32SXbpFF1TBqV3JuaSH40VENERERExAclziIiIiUmrqe5Jd7yuhtgmVDiLCIiIiJFc8is0QAMquybhsY9edcYZxEREREpmutPmsulq1qpqa7Mukxcz5qox1lEREREimZwVSUTRybzAkslziIiIiIiPihxFhERKTExHyYqktVB00YBMKQ64opkocRZRESkRBX7hhYi+bri6DY6L+5geE08U9R41kpEREREyk51ZQVTGodEXY2slDiLiIiIiPigxFlERERENLTHByXOIiIiIiI+KHEWEREREfFBibOIiEiJOWZuEwDzJg6PtiIiJSavxNnMTjSzTWa228za08pHmdkDZrbDzL7ea50FZva0mW0xsxvNNKJGREQkTMtbx7L1S0fRMnpo1FURKSn59jg/A6wDNvQq3wVcCVycYZ1vAucAM7yfVXnWQURERESk4PJKnJ1zzznnns9Q/jfn3IOkEugeZtYE1DvnHnbOOeA24Lh86iAiIiIiUgzFHuM8AehK+7vLKxMRERGRCDndq71fVf0tYGa/BMZleOpy59xPAm4v03jmrP8mMzuH1LAOxo4dS2dnZ8DN5W/Hjh2RbDepFK9gFK9gFK9gFK9gFK9gFK9gkhCvt3buBmDXrl2R1zWu8eo3cXbOrQhxe11Ac9rfzcBrObZ9M3AzQHt7u+vo6AixKv50dnYSxXaTSvEKRvEKRvEKRvEKRvEKRvEKJgnxeuXtnbDhAWpqaiKva1zjVdShGs6514HtZnagN5vGGUDQXmsRERERkaLLdzq6tWbWBSwG7jGze9Oe2wrcAJxlZl1m1uY9dR7wLWAL8BLws3zqICIiIiJSDP0O1cjFOXcXcFeW56ZkKX8MmJPPdkVEREQkXLqzRv9050ARERERER+UOIuIiIiI+KDEWURERETEByXOIiIiIiI+KHEWEREREfFBibOIiIiIiA9KnEVEREREfFDiLCIiIiLigxJnEREREREflDiLiIiIiPigxFlEREREqPDuuT24WulhNlVRV0BEREREotfUUMPFK2dy7NwJUVcltpQ4i4iIiAhmxgXLZ0RdjVhTX7yIiIiIiA9KnEVEREREfFDiLCIiIiLigxJnEREREREflDiLiIiIiPigxFlERERExAclziIiIiIiPihxFhERERHxwZxzUdfBFzN7C/hjBJtuBP4cwXaTSvEKRvEKRvEKRvEKRvEKRvEKRvEKJsp4TXbOjc70RGIS56iY2WPOufao65EUilcwilcwilcwilcwilcwilcwilcwcY2XhmqIiIiIiPigxFlERERExAclzv27OeoKJIziFYziFYziFYziFYziFYziFYziFUws46UxziIiIiIiPqjHWURERETEByXOIiIiIiI+KHHOwsxWmdnzZrbFzNZHXZ+omNlEM3vAzJ4zs01m9o9e+TVm9qqZbfR+Vqetc5kXt+fN7Ii08gVm9rT33I1mZlHsU6GZ2VZvPzea2WNe2Ugz+4WZvej9HpG2fNnGy8xmpbWhjWb2jpldqPa1h5ndambbzOyZtLLQ2pOZDTazO7zyR8xsSlF3MGRZ4vVVM9tsZk+Z2V1mNtwrn2Jm76a1s5vS1inneIX2/iuTeN2RFqutZrbRK1f7yp5DJPcY5pzTT68foBJ4CWgBBgFPAm1R1yuiWDQB873Hw4AXgDbgGuDiDMu3efEaDEz14ljpPfcosBgw4GfAkVHvX4FithVo7FX2FWC993g98GXFq0/cKoE3gMlqX3vt8zJgPvBMIdoT8GngJu/xKcAdUe9zAeK1EqjyHn85LV5T0pfr9TrlHK/Q3n/lEK9ez18PXKX21bOf2XKIxB7D1OOc2SJgi3PuD86594HbgTUR1ykSzrnXnXNPeI+3A88BE3Kssga43Tn3nnPuZWALsMjMmoB659zDLtW6bwOOK2ztY2UN8F3v8XfZs++K1x6HAS8553LdIbTs4uWc2wC83as4zPaU/lr/DRyW5N76TPFyzt3nnPvQ+/O3QHOu1yj3eOWg9pUjXt5+nQT8MNdrlFm8suUQiT2GKXHObALwStrfXeROFsuCd/pjf+ARr+gC79TnrWmnWbLFboL3uHd5KXLAfWb2uJmd45WNdc69DqkDCTDGK1e89jiFvT9w1L6yC7M99azjJZf/B4wqWM2j9wlSvVXdpprZ783sf8zsYK9M8Qrv/Vcu8QI4GHjTOfdiWpnal6dXDpHYY5gS58wyfVMp63n7zGwo8GPgQufcO8A3gWnAPOB1UqenIHvsyimmS5xz84EjgfPNbFmOZRUvwMwGAccC/+UVqX0NzEDiUzaxM7PLgQ+B73tFrwOTnHP7AxcBPzCzehSvMN9/5RCvbqey95d/tS9Phhwi66IZymLVxpQ4Z9YFTEz7uxl4LaK6RM7Mqkk1+O875+4EcM696Zz7yDm3G7iF1PAWyB67LvY+PVqyMXXOveb93gbcRSo2b3qnmrpP023zFi/7eHmOBJ5wzr0Jal8+hNmeetYxsyqgAf+n7hPDzM4Ejgb+zjvVi3c6+C/e48dJjaecSZnHK+T3X8nHC3r2bR1wR3eZ2ldKphyCBB/DlDhn9jtghplN9XrCTgHujrhOkfDGCf0n8Jxz7oa08qa0xdYC3VcY3w2c4l3lOhWYATzqnYrZbmYHeq95BvCTouxEEZnZEDMb1v2Y1EVJz5CKy5neYmeyZ9/LOl5p9uqpUfvqV5jtKf21TgDu704sS4WZrQIuBY51zu1MKx9tZpXe4xZS8fqD4hXq+6/k4+VZAWx2zvUMJ1D7yp5DkORjWL5XF5bqD7Ca1NWfLwGXR12fCOOwlNQpj6eAjd7PauB7wNNe+d1AU9o6l3txe560mQ2AdlIH4JeAr+PdubKUfkjNxPKk97Opu+2QGm/1K+BF7/dIxatnP+uAvwANaWVqX3v264ekTvl+QKpn5eww2xNQQ2qIzBZSV623RL3PBYjXFlJjILuPYd1X4B/vvU+fBJ4AjlG8ODvM9185xMsr/w5wbq9l1b6y5xCJPYbpltsiIiIiIj5oqIaIiIiIiA9KnEVEREREfFDiLCIiIiLigxJnEREREREflDiLiIiIiPigxFlERERExAclziIiIiIiPvw/hhAJ/jD8qu4AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Expected corrected spectrum\n",
"sp1, sp2 = analyzer.correctedSpectrum(corrFactor)\n",
"plt.plot(*sp1)\n",
"plt.plot(*sp2)\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Power distribution of the chirp\n",
"x = analyzer.chirp\n",
"y = np.abs(np.fft.rfft(x)) ** 2\n",
"f = np.linspace(0, analyzer.rate / 2, y.size)\n",
"r = analyzer.freqRange(f.size)\n",
"plt.loglog(f[r], y[r])\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# Play some tones\n",
"tones = [0.4 * hifi.tone(440 * i, 0.1, audio.rate) for i in range(1, 12)]\n",
"for tone in tones:\n",
" audio.play(tone)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# Create a missing fundamental of 20 Hz\n",
"# https://en.wikipedia.org/wiki/Missing_fundamental\n",
"tones = [hifi.tone(20 * i, 2, audio.rate) / i for i in range(6, 22)]\n",
"for chord in np.cumsum(tones[::-1], 0):\n",
" chord /= np.abs(chord).max()\n",
" audio.play(chord)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"audio.close()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}