{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## ThinkDSP\n", "\n", "This notebook contains code examples from Chapter 1: Sounds and Signals\n", "\n", "Copyright 2015 Allen Downey\n", "\n", "License: [Creative Commons Attribution 4.0 International](http://creativecommons.org/licenses/by/4.0/)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Think DSP module\n", "\n", "`thinkdsp` is a module that accompanies _Think DSP_ and provides classes and functions for working with signals.\n", "\n", "[Documentation of the thinkdsp module is here](http://greenteapress.com/thinkdsp.html). " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Get thinkdsp.py\n", "\n", "import os\n", "\n", "if not os.path.exists('thinkdsp.py'):\n", " !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/thinkdsp.py" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Signals\n", "\n", "Instantiate cosine and sine signals." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from thinkdsp import CosSignal, SinSignal\n", "\n", "cos_sig = CosSignal(freq=440, amp=1.0, offset=0)\n", "sin_sig = SinSignal(freq=880, amp=0.5, offset=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the sine and cosine signals. By default, `plot` plots three periods. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from thinkdsp import decorate\n", "\n", "cos_sig.plot()\n", "decorate(xlabel='Time (s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's the sine signal." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sin_sig.plot()\n", "decorate(xlabel='Time (s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the frequency of the sine signal is doubled, so the period is halved.\n", "\n", "The sum of two signals is a SumSignal." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mix = sin_sig + cos_sig\n", "mix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's what it looks like." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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AzJ07F++88w4eeOABrF27NlvDHLftySxdvdeJQnv2PsKFDOpoghJNh5MnSWQxU+ewmlFfWYQ9LT7sau5HdXF+1t6L9Cfb9XSSmuR1ebKXEw/SN1XV1G3evBlr1qwZ9rW1a9di8+bNo35PKBSCz+cb9ifb5Hq6ae6svo+0WeJ49wB8Q9wsQWN3smcQ3cEwrGYB86sy23T4dHM8iZ9/rCuY1fch/clVUCe1SjnJTB3pnKqCura2Nng8nmFf83g88Pl8GBwceYZ17733wuVyyX9qamqyPs5tWTpJ4nTFBTZMcSc3SzBbR+Mgnfc6v8oFh9Wc1feSNvQ09/KBSWMXj4vYmatMXYmUqeM1SvqmqqBuIjZu3Ij+/n75z8mTJ7P+ng//03L8/Ppl+OjM8qy/14IpiSzI/lZ/1t+L9EMqEchmPZ1EWnJt5tIWjcPRrgD8oSgcVhPqvUVZfa+aZKau3RdCKBrL6nsRKSmrNXXj5fV60d7ePuxr7e3tcDqdyMsbudO43W6H3W7PxfBkHqcDVyyszMl71ZYmC3w5w6RxkHZMZzsDAqSWthjU0XikH2FnMWc3v1BSYEO+zYyBcAwtvYOYnoWG8URqoKpM3cqVK7Fp06ZhX3v99dexcuVKhUakvCnJB2YLH5g0RqIoyv246r3ZracDUkFdS+8g4nG2NaGxkerpsrmRRyIIQqqujvdS0rGsBnWBQAANDQ1oaGgAkGhZ0tDQgKamJgCJpdN169bJr7/ttttw9OhRfPOb38SBAwfws5/9DM888wy+/vWvZ3OYqsYsCI3Xqf4hBEJRWM0C6pKtHLLJ63TAbBIQjsXRGeAZsDQ2Up3wours9Kc7XY1cJsBVD9KvrAZ1H374IZYuXYqlS5cCADZs2IClS5firrvuAgC0trbKAR4A1NXV4aWXXsLrr7+OxYsX4/7778evfvUrVbUzybUp7sSNiD3AaKyko8GmlxXCZsl+Mt5iNqEyeWIFH5g0FvF4Kps8tzL72WQgbbNED++lpF9ZralbvXr1WbvMj3RaxOrVq7Fjx44sjkpbpOXX/sEI/EMRFGWxQSfpQ2Nb4mE5O8vF5+mqi/PQ3DuI5t5BLJ+Ws7cljWruHcRgJAabxYRpJbnpbZhafuXEg/RLVTV1dKZCuwXu/EQgx2wdjcXB9sRO6Tme3BWDSztg2QeMxqIxeY3OLC/M+iYJibxLm9co6RiDOg2Q6+q4bEBj0NiWDOpysElCUsO2JjQO8sQjh9nkVD9FXqOkXwzqNEBqQMxMHZ1LNBbH4c7E8uscT26XXwE+MGlspInHrBxmk6Wauu5gGMFQNGfvS5RLDOo0oJq7tmiMjncPIByNI89qlgOtXEgFdbxG6dxSJQK5m3g4HVa48hKlLJx8kF4xqNMAZuporKSH5WxPIUwmIWfvW12S2qXNXnV0NpFYHEeS2eTZOQzqAJ4BS/rHoE4DuLRFYyUta+X6YekpssNiEhCJiejws1cdje54VxCRmIgCm1mesOYKe9WR3jGo0wCeKkFjpUQBOpDsVedmrzo6N2nn6yxPUU6zyUBqswRPlSC9YlCnAVJNXXcwjIEwC3xpdI0KBXUAUO3mDlg6t4Ntua+nk6QaEHPiQfrEoE4DXHlWFDkSfaJPsa6ORjEUieF4VxCAMg9M1ivRWEgTj1w2x5bw/FfSOwZ1GiHVnvBmRKM53BFAXATc+VaUF9lz/v7V7FVHYyAdD6ZIpo41daRzDOo0Qnpgsq6ORpPeJkIQclurBKQ1d+3jA5NGNhSJ4Xh3Ips825u7HnUS6T7qH4qifyCS8/cnyjYGdRrBHbB0LkrW0wHM1NG5He4IQBSB4nwrygtzn03Os5lRlnxfngFLesSgTiPY3JXO5aBC7Uwk0jV6qm8QMfaqoxGkt9xRIpsMsPaT9I1BnUawATGdS+rMV2WCOo/TkdarbkiRMZC6KdVyJ520A5YZZdIjBnUawaUtOhvfUASn+hOB1OwKZR6YZpOAKjfLBGh0qRNPFAzq5B2wzNSR/jCo0wipAXGnP4ShSEzh0ZDaHEo+LCtdDrjyrYqNg2UCdDbyzlcVZOq4/Ep6xKBOI4rzrci3mQGwVx2dqbFNmbM0T5eqV+I1SsP5hyJy+YhS2WSAvepI3xjUaYQgCKyro1GpoVYJSC8TYBaEhpOydF6nstnk9F51osgNPaQvDOo0hG1NaDQH2nwA1JOp4zVKpzuo4EkS6arceRAEYCgSR1cgrOhYiDKNQZ2GSHV1bEBM6URRTO18VTio485CGk3qGs190+F0NosJlU4HAG6WIP1hUKchXNqikXQFwugdiEAQgFkKPzDZq45Go4adrxLpXsrNEqQ3DOo0hDV1NBLpYVlbWgCH1azoWCqKHLCaBUTjItp97FVHKWqp+wSA6hKWCZA+MajTENYr0UhSXfqVzdIB7FVHI+sKhOT6tZkVyl+nNVz1IJ1iUKch0pJBu28I4Whc4dGQWqilnk7CXnV0OilLN7UkH/k2i8KjYesd0i8GdRpSVmiD3WJCXATa+rm0RQmN8rKWU+GRJFS7pXolPjApQelziU8nNyDmxIN0hkGdhgiCIO+Abe7jzYiAeFyUT5OY41V+WQtgpo7O1CifJKGOa1QK6rihh/SGQZ3GTGG9EqVp6RtEMByDzWzCtNICpYcDgEXodCY17XwFEg2QLSYBkRg39JC+MKjTGKmujr3qCEg9LKeXF8BqVsc/Z7n1DrPJhEQfRWn5VQ07X4HhG3rY1oT0RB1PARoz7oCldI0qahMhkXYWtvYNIRrjhh6ja+0fgj8UhcUkYHqZOpZfAaCmhGfAkv4wqNMY1itRukaVZUAAoKLInupV5w8pPRxSmDTxqCsrgM2inkcO25qQHqnnXxiNCRsQUzq1tTMBAJNJSNV+cmnL8OSdryqaeABpO2C5S5t0hEGdxkj1Sq39XNoyukgsjqOdQQDqKUCXpI604wPT6OQSAdVdo9LyKycepB8M6jRGWtqKcWnL8E50BxGOxVFgM8uZMbVg7SdJ1LbzVSJPPJhNJh1hUKcxpvRjmHgzMrTGtkTvr9neIphMgsKjGY5ZEAKAWFzEIblHnbqCOmmjRBtP6CEdYVCnQayrIwBobPMBAGZXqOthCaQvvzKoM7KmngGEonHYLSZMTdawqUV5oV0+oae1n/dS0gcGdRrEpS0C1NnORMJrlIDURp5ZnkKYVZZNFgSBZ8CS7jCo06ApbjYgptQDs16VQR039FBaPZ0Ks8kAz4Al/WFQp0HVPP/V8AbDMZxI1lSqrVUEkNjQYzObEIuLaOMxTIalxj6K6dirjnxDEQRCUaWHkTEM6jRICuqYqTOuQx1+iCJQVmhDWaFd6eGcwWQSMIVLsIan5hIBIO1UCS6/GtYT7zdhwd2v4e7n9yg9lIxgUKdB0sPyVN8Q4nFR4dGQEqQMiNraRKRjXZ2xhaIxHOtK9FGs9zoVHs3IpDIBLr8al7ThrMLpUHgkmcGgToO8TgfMJgHhWBydAfaqMyK1L2sBPNLO6A53BBCLi3A6LPA41ZdNBlLLr8zUGdcBFZ7KMxkM6jTIYjbBm5xV8IFpTGrt0p+umg9MQ0tt5HFCENS181UiLb92BUIYisQUHg3lWiQWx5FOdfZRnCgGdRrFpS1jY6aO1E4L16grz4pCuwUA+34a0dHOICIxEYV2i3y/0joGdRrFInTj6g2G0ZE8Im6WqjN1vEaNTO2bJIBEr7qK5NJwh4+lLEZzIFlPN8dbpNps8ngxqNMoaWmLs0vjkR6WNSV5cpZBjaRrtM3HXnVGpOY+iuk8RYlSlg4/W+8YjRayyePFoE6jqt3MghjVQQ3U0wGJY5hslkSvutZ+PjCNpH8gIv9/ruZsMgB5E0c7+ykajlYmHuPBoE6jWK9kXAc0Mrs0mQR5Qw8fmMYiZZOrXA648qwKj+bsKuRrlMuvRqO3na8AgzrNmpLWgFgU2avOSA5qoEedpKJIyoLwgWkkWqink6SuUU48jMQ/FJHLl9TaR3EiGNRpVKUrD4IAhKJxdAXCSg+HckQURfmBqYUbkcfJeiUjapQL0LV0jXLiYSRSGYvX6YArX93Z5PFgUKdRNotJLvA9xc0ShtHaPwT/UBQWk4C6sgKlh3NO5czUGZKWapXkoI6ZOkPZ36qdbPJ4MKjTMKnAlzNM45AeljPKC2GzqP+fLzN1xiOKolyrpIUSgdRGiRBLWQxEnnhUqv8aHQ/1PxVoVOVFLEI3GmnpdbZGZpce9gAzHCmbbDYJmFGh/mxyRfI+OhiJwR+KKjwayhUtZZPHg0GdhlUwU2c4WrsRVXDiYTjSxGN6WQHsFrPCozm3PJsZRY5Ev0cuwRpDIpucrPv0qL/uczwY1GmYVFPXyaUtw2jU0LIWwBIBI9JiQ9dUXR2vUyNo8w3Bp6Fs8ngwqNOwCieL0I0kGovjcPLwaa1l6voHIzww3SC0lk0G0urqOEE2BKnmUyvZ5PFgUKdhqSwIb0RGcLx7AOFoHPk2M6a4tXH4tDPPAntyQ0cns3WGkGqOrZ1lLU8RGxAbiRazyWPFoE7DKngjMpT0pVeTSRuHTwuCIC9tsa5O/yKxOI50JLLJWurSX86jwgzlQGuink5L2eSxYlCnYVIn9O5ACLE4t+LrXaNGznw9HU+VMI4T3UGEY4lssnSUoRZImTrWfhqDFrPJY8WgTsNKC+0wCUBcTAR2pG+pLv3aCurYq844DmgwmwywAbGRRGJxHNFYbfJ4MKjTMLNJQFkhsyBGcbA9uaylsRsRT5UwDi1ukgCGNyAmfTvWFUQkJqLQbtFUNnmschLUPfTQQ6itrYXD4cCKFSuwdevWUV/72GOPQRCEYX8cDkcuhqlJzIIYw2A4huPdQQDaC+p4jRrHAY0WoKf3U+SpEvqWyiYXQhC0k00eq6wHdU8//TQ2bNiAu+++G9u3b8fixYuxdu1adHR0jPo9TqcTra2t8p8TJ05ke5iaxXolYzjcEYAoAqUFNjk7qxXSNcoeYPon7yrUWt1nMlMXisbhG+SpEnqWKmPRXz0dkIOg7kc/+hHWr1+Pm2++GfPmzcPDDz+M/Px8PPLII6N+jyAI8Hq98h+Px5PtYWpWBduaGMIBjdbTAeDuV4MYCEfR1DMAQHvXqcNqhivPCoD3Ur3TaonAWGU1qAuHw9i2bRvWrFmTekOTCWvWrMHmzZtH/b5AIIBp06ahpqYGV199Nfbu3ZvNYWpaBXdtGcLBdm2dJJGOp0oYg1TzWVZoR6nGsskA6+qMQqslAmOV1aCuq6sLsVjsjEybx+NBW1vbiN8zZ84cPPLII3j++efx29/+FvF4HKtWrUJzc/OIrw+FQvD5fMP+GImcqWMWRNcOaHh2yVMljEFa1tLiNQowo2wE/qEImnsHAWj3Oj0X1e1+XblyJdatW4clS5bgoosuwrPPPovy8nL84he/GPH19957L1wul/ynpqYmxyNWFvsrGYOcqdPgjYinShiD1jMg8i5tLr/qlnQf9TjtcOfbFB5NdmQ1qCsrK4PZbEZ7e/uwr7e3t8Pr9Y7pZ1itVixduhSHDx8e8e83btyI/v5++c/JkycnPW4tqWAndN3rGwjLS0JaXH4VBIHXqQFodZOEJNWrjhMPvUqteOhzkwSQ5aDOZrNh+fLl2LRpk/y1eDyOTZs2YeXKlWP6GbFYDLt370ZlZeWIf2+32+F0Oof9MRJpaasrEOapEjolPSyri/NQaLcoPJqJYUZZ/6QsiFYzdZ4ibjrTO71vkgCArD8hNmzYgBtvvBHnnXcezj//fPz4xz9GMBjEzTffDABYt24dpkyZgnvvvRcAcM899+CCCy7AzJkz0dfXhx/84Ac4ceIEbr311mwPVZPKCm0QBCAWF9ETDMtLCKQf0vFgWr4RsV5J37oCIXQFwhAEbWaTgfRrlBMPvdJ6icBYZD2o+9znPofOzk7cddddaGtrw5IlS/Dqq6/KmyeamppgMqUShr29vVi/fj3a2tpQXFyM5cuX47333sO8efOyPVRNsphNKC2woysQQrtviEGdDjW2aXfnq4SnSuibdI1OK8lHns2s8GgmpoITD10TRTFVIsCgbnJuv/123H777SP+3VtvvTXsfz/wwAN44IEHcjAq/fA4E0Edi9D1SQ83Ip4qoW96yICkN8kWRVGXpw0YWbsvhP7BCMwmATMrCpUeTtaobvcrjV/qVAk+MPVGFEV5+VUvD0zSn4NyUKfdmmZpM084FkffQETh0VCmSQ3c68oKYLdoM5s8FgzqdIANiPWrtX8I/qEoLCYB08u0O7tkpk7fDrRre+crANgtZhTnS6dK8F6qN3rIJo8Fgzod8PCoMN3adyoxu5xRXgibRbv/XCvYrV+34nERh3SQTQa4oUfP5J2vGp54jIV2nxIkK+euLd1qONkHAFhc41J2IJPk4akSunWydwAD4RhsFhNqS/OVHs6klLOURbfkHnWV2i0RGAsGdTqQ6q/EoE5vpKBuSU2xsgOZJJ4qoV9SNnm2pxAWs7YfKakyAV6jehKJxXGkI3E2sZZbQ42Ftv8FEoDUVnye/6ov8biInTrJ1PFUCf3aIV2j1W5Fx5EJHp6lrUvHu4IIx+IosJkxxZ2n9HCyikGdDkg7Czv9IcR5qoRuHO0KwB+KIs9q1nQBuoSnSujTjqZeAMDSqdrOJgNsQKxXe5PZ5DneIphM+m5Vw6BOB6Q6kGhcRO9AWOHRUKbsaOoDACyc4tL8shbAc4r1KBKLY1dzPwBg6VS3soPJAKmTQDs3nenK9uTEQ+tlLGOh/ScFwWo2obTABoAzTD2R6+l08LAE0h6YvEZ140CrH6FoHK48K+pKC5QezqRVONlPUY+koG7ZNLeyA8kBBnU6UcE+YLqzs7kPALCkxq3oODKFver0Z8dJKQPi1sWyVvo1KoosZdGDgXAU+1sTO1+X6aBE4FwY1OkEO/bry1AkhgPJG5Fegjpeo/rTkCwR0MPSKwCUFyau0UhMRC9PldCFXc39iMVFeJ0OVOl8kwTAoE435AcmsyC6sKelH9G4iIoiOypdDqWHkxHM1OmPtPNVD5skAMBmSS9l4XWqB0ZaegUY1OkG+yvpS6rpsFs3B4vzVAl96Q2GcawrCABYooN2JpIKniqhK9tP9AEwxtIrwKBON7izUF92yE2H3YqOI5N4qoS+SBOP6eUFcCXPTNUDlgnohyiKaS133MoOJkcY1OlEBXuA6Ypcq6SjoI6nSuiL/LDUWZsIDyfIutHUM4DuYBhWs4D5Vdpu4D5WDOp0glvx9aPTH0JL3yAEAVhYrZ8bEU+V0JdUPZ1b0XFkGktZ9EOqp5tf5YLDalZ4NLnBoE4n0k+V4FZ8bZOOBptVUYgih36WtQCeKqEX8biou52vEtbU6YfR6ukABnW6IZ0qEY7F0cet+JrWoMN6OgkzdfpwpFNfR9ilkybI7Zx4aJ7UR9EoO18BBnW6YbeYUZwsVuYRN9qWvvNVb1j7qQ/SEXaLqvVxhF06efmVEw9NM1rTYYm+/jUaXOpmxAemVsXjorz8ykwdqdUOnR1hl07aKNHpDyEeZymLVhmt6bCEQZ2OSEuwfGBq19Eu/S5rAWk1dZx4aJped74CQFmhHYIAROMiegbCSg+HJshoTYclDOp0hEtb2ictay2cor9lLYCnSuhBIBTFwfbEspbeNkkAgNVsQmkBJ8haZ8RNEgCDOl1JXzYgbWrQ8bIWwFMl9GBXcx/iIjDFnScH6XrDBsTaNrzpMIM60qgKLr9q3s7mPgD6rKcDeKqEHkjZZL1OPAA2INY6qemwzWzCgilOpYeTUwzqdIRNM7VtKBLDgeRuLb0Gdc48C2w8VULTdujwtJPT8V6qbXLT4SlO2C3GaDosYVCnI9xZqG17WvoRjYsoL7Kj0qXPZS1BEJgF0TBRFNFwUv/LWmxArG1GracDGNTpSvpGCZ4qoT3pTYcFQVB2MFnEUyW0q7l3EF0B6SxN/S5reVj7qWnb5Xo6t7IDUQCDOh2RT5WIxtE/yFMltGaHjvvTpWNGWbuka3RepVPXZ2mmJsi8RrVmIBzFgTbjNR2WMKjTEYfVDFde4lQJZkG0p8EAtUoAW+9omVF2FLJEQLt2njRm02EJgzqdkW5G3IqvLZ3+EFr6BiEIwMJql9LDySpm6rRL3iSh82UtaaNEVyCMGE+V0BSjNh2WMKjTGSkLwgemtkhHg82qKESRw6rsYLJMqqnj7ldtCUVj2HfKB0CfJ0mkKy2wwSQAsbiI7iCvUy2RJh5GXHoFGNTpjtw0kw9MTWkwSD0dwEydVu095UM4FkdpgQ01Jfpe1rKYTSgt5KqH1hi56bCEQZ3OcCu+NklB3WIDBHUe+Rrlw1JL0pde9bw7W8K6Ou0xctNhCYM6nZEydVza0o5oLC4vvxohU8dTJbTJaBkQTxEnH1pj5KbDEgZ1OsMD07Vn89Fu+ENRlBbYMMdTpPRwso6nSmiTfDyYASYeQGrVg/dS7TBy02EJgzqd4YHp2vPy7lYAwNoFXljM+v8nmX6qBB+Y2nCkM4CWvkFYTAIW6Xx3toQNiLVH3vnKoI70IrVRYoinSmhANBbHa3vbAQBXLqxUeDS5U8GlLU15cWdi4vHRWWW6350tkfspsqZOE/oHI6mmwwZtZwIwqNMd6UY0FInDNxRVeDR0Lu8f7UFPMIySAhtW1JUoPZycYRG6doiiiBd2tgAAPrWoSuHR5I58jTKbrAmv7mlFLC5itqcQlS59784+GwZ1OpNnM6PIYQEAdPJmpHovSUuv842x9CrhqRLacaDNjyOdQdjMJlw236P0cHKGu7S15bkdpwAAVy+ZovBIlGWcp4iByJsleDNStcTSaxsAYy29AuxVpyV/2pl4WK6eUw6nQZZegdRZ2j1Bniqhdm39Q3j/WDcA4Oolxskmj4RBnQ5JdXVcNlC3LcdSS68XTDfO0ivAUyW0QhRF/GlXIqi7arGxHpalBTYIyVMleoJhpYdDZ/HCzhaIIvCR2mJUF+crPRxFMajTIXmzBDN1qpZaevUYaukVYKZOK3Y29+NkzyDyrGZcOrdC6eHklMVsQmmBDQAnH2rHpdcUYz1JDIK1IOoXjcXx2p7E0usnDbb0CvAa1YoXk0uva+Z5kG+zKDya3CtLHhXWGeB1qlaH2v3Y1+qDxSQYroxlJAzqdKi8iD3A1G7rsR50B8MozrfigumlSg8n58qTD8v+wQhCUZ4qoUbxuIgXdyWyyVctMubDUr6XMqOsWs81JHZmr55TjuJkZtXIGNTpUOpUCc4u1Upaer1snhdWgy29AoA73wqrOXF+aFeA9Upq9OGJXrT5hlDksOCiOeVKD0cR0i5tZurUSRRFPN/Apdd0xnuaGEAFZ5eqFouL8q7XTxo0AyIIgpytY72SOkm7XtfO9xr2HM1ynqWtatubetHcO4gCmxlr5hqn3c7ZMKjToQpm6lRty7FudAXCcOdbsWqG8ZZeJXxgqlc0FpePr/uUQSceAK9RtZM2SKxd4EWezZgTj9MxqNMhKVM3EI4hGOKpEmrzsrz06jHk0qukvIgHpqvV5qPdcs3nhTPLlB6OYlL1yQzq1CYSi8tlLFx6TTHuE0XHCuwW5CdnLbwZqUssLuLVPYmzXo246zUdsyDqJZ31esXCSkNPPKQJchevUdX526FO9ATDKCu04UIDr3iczrj/WnWugg9MVdp6rAddgRBcecbOgAAM6tQqHI3jlT3SrldjNRw+Ha9R9ZKWXj+1qMpwfT7Php+ETvFmpE5cek3h0pY6/e1QJ3xDUVQU2XF+nbFOOjmddI36Q1EMhtl6Ry2CoShe35dY8bhmKZde0xn7qaJj7FWnPrG4iFf2GHvXazpmk9VJ2vV65aJKmE2CwqNRVpHdAoc18Zjkdaoef97XhsFIDLWl+Vhc7VJ6OKrCoE6nKni2pup8cDyx9Op0WHDhDGMvvQLMJqvRYDgmZ0CMdtbrSARBSF2nAU6Q1SL9WDBBMPbE43QM6nSKD0z1kTIgl833wmbhP730PnWiKCo8GgKANxs7EAzHMMWdh6U1bqWHowrsp6guXYEQ3jncBYBLryPhk0WnpBsR65XU4cPjPXjqg5MAgKuXMAMCpCYe4VgcvkG23lGaKIr43dYmAIksHTMgCaz9VJcXd55CLC5icbULdWUFSg9HdRjU6VS5k7NLtegfjOCrTzUgFhfxd0un4GOzjHnk0ukcVjOcjsQh8VzaUt4j7x7H3w51wWoW8A/LmQGRsJRFPXxDEfx68wkA7E03GgZ1OiUvGfDMQkWJooiNz+5CS98gppXm456r5ys9JFVJHZjO61RJHx7vwb0v7wcA3HnlPMysKFJ4ROrBUhZ1iMVFfPV3O3CsKwiv04G/X8agbiQM6nRK2lnYHQghFme9klKe+uAkXt7dBotJwE8+vxRFDqvSQ1IVHpiuvE5/CF9+cjuicRFXLa7CupXTlB6SqjCoU4f7XjuANxs7YbeY8Mt1y+HOtyk9JFViUKdTpYV2mAQgLgLdQd6MlHCo3Y9v/2kvAOAba+dgMQvPz8AHprKisTi+8rsdaPeFMLOiEN//+4WspTsN65OV9+z2Zvzir0cBAD+4djEWVbuVHZCKMajTKbNJQEkBl7aUMhSJ4V9/twNDkTg+NqsM6z82XekhqRKDOmX96PWD2Hy0G/k2Mx7+p2UosFuUHpLqVLA+WVE7mnrxrWd3AwC+fPEMfJqtds6KQZ2Oyc1dubSVc/e+vB8H2vwoK7Th/s8uhsngTVxHw52Fynl9Xzt+9tYRAMB/f2YR6+hGIV2jXYEQ4ixlyam2/iF88TfbEI7G8Yl5HtzxiTlKD0n1chLUPfTQQ6itrYXD4cCKFSuwdevWs77+97//Perr6+FwOLBw4UK8/PLLuRim7jALoozX97XLO7R+eO1iuW6MzsRTJZTR1D2ADc80AABuvrCWjYbPojS54hGNi+gbjCg8GuMYisTwhd98iA5/CHM8RXjgc0s4OR6DrAd1Tz/9NDZs2IC7774b27dvx+LFi7F27Vp0dHSM+Pr33nsP1113HW655Rbs2LED11xzDa655hrs2bMn20PVHQZ1uTUUieHNAx34xh92AgDWf6wOq+dUKDwqdeM1mnu9wTBu++02+IeiWDbVjY1XzFV6SKpms5hQnJ/Y4MRjF3NDFEV88w+7sKu5H8X5VvzqxvNQyNKAMcn6p/SjH/0I69evx8033wwAePjhh/HSSy/hkUcewbe+9a0zXv8///M/uPzyy/GNb3wDAPCd73wHr7/+On7605/i4YcfzvZwdYVZkOw73hXEW40deLOxE+8f7UYoGgcALJziwjfW1is8OvXjGcXZ1xsMY8uxHmw51o33j/bgQJsPogiUFtjw0PXLeLrJGFQUOdA7EEGnP4R6r9Kj0Z9QNIa9p3xoaOrDzuY+7GjqQ1PPACwmAT+7fjlqSvKVHqJmZDWoC4fD2LZtGzZu3Ch/zWQyYc2aNdi8efOI37N582Zs2LBh2NfWrl2L5557bsTXh0IhhEKpoMXn801+4DrBLMjkiKKInmAY3cEwugNhdAdD6AmG0RUIo9M/hM1HunG8e2DY91S6HLi4vgJfvXQWH5ZjIC1N9w5EEI7G+ZlNgCiK6B+MoN0XQrtvCO2+IXT4Q2jpG8T2E7040OY/43tmewrxvb9biEpXngIj1p7yIjsa2/28l06CKIroDobR0juI5t5BtPQNoKlnALub+7Gv1YdIbHi9otUs4L+uWYCVM0oVGrE2ZTWo6+rqQiwWg8fjGfZ1j8eDAwcOjPg9bW1tI76+ra1txNffe++9+Pa3v52ZAesMsyATd7gjgH95YhsOtgfO+jqLScBHakuwek45Vs+pwGxPIVtCjIM7zwqLSUA0LqI7GGKQMQ5dgRA2PLMT7x/tRjiZIR7NrIpCXDC9FCuml2BFXal8b6Cx4YaeiRmKxPDdl/bjvSNdaOkbxFBk9Ou0pMCGJTVu+c/iajdc+ezrOV6aX6TeuHHjsMyez+dDTU2NgiNSDx5vMzFvH+zEl5/cDv9Q4jxSV54VpYU2lBbYUFpgR0nyv8+vcuHCmaVsKDwJJpOAskI72nxD6PAxqBurpu4BrHtky7BMsTvfCk+RAxVOOzxOBzxOO+ZXuXB+XQnKChnETQZLWcZvIBzF+sc/xLuHu+WvCULis6wuzscUdx6mFOeh3luEpTXFqCnJ44Q4A7Ia1JWVlcFsNqO9vX3Y19vb2+H1jlyY4PV6x/V6u90Ou503rJFw+XV8RFHEY+8dx3de3Ie4CJw3rRgP37CcD8Qsq3Amgjpep2Ozp6UfNz36AboCIVQX5+Fn1y/DbE8RHFaz0kPTLd5LxycQiuKfH/0AW4/3oMBmxvc/swgLp7hQ6XbAbuF1mk1ZLWCx2WxYvnw5Nm3aJH8tHo9j06ZNWLly5Yjfs3LlymGvB4DXX3991NfT6KQbUTAcQzAUVXg06haJxfHvf9yDb/8pEdD9w/JqPLF+BQO6HOA5xWP37uEufP6X76MrEMLcSiee/dIqLKp2M6DLMgZ1Y9c/GMEN/7cFW4/3oMhuweO3rMBVi6tQW1bAgC4Hsr78umHDBtx4440477zzcP755+PHP/4xgsGgvBt23bp1mDJlCu69914AwFe/+lVcdNFFuP/++3HllVfiqaeewocffohf/vKX2R6q7hTaLci3mTEQjqHTH2K3+FH0BsP40hPb8P7RHggCsPGKeqz/2HQuBeQIH5hj88LOU7jjmQZEYiJWTi/FL9Yth5NL/zmROiqM9cln0zcQxg3/txW7W/rhyrPiN7eczyO9cizrT/nPfe5z6OzsxF133YW2tjYsWbIEr776qrwZoqmpCSZTKmG4atUqPPnkk7jzzjvx7//+75g1axaee+45LFiwINtD1aXyIjtOdA+gMxBCbVmB0sNRncMdAdzy6w9wonsABTYzfnLdUlw613Pub6SMqeCGnnP6v3eO4Tsv7gMAXLmoEj/67GJmPXKIR4WdW3cghOt/tQUH2vwoKbDht7eswLwqp9LDMpycpG5uv/123H777SP+3VtvvXXG16699lpce+21WR6VMZQXJoI6nv96JlEUcfuT23GiewDVxXn4vxs/gjleHpWUa8zUnd1Dbx7GD15rBADctKoWd31qHjvr51h5YWLTmW8oiqFIjMvdp+nwDeH6X23BoY4AyovsePLWFZjl4b1UCVyP07nUDJNZkNO9d6QbB9r8yLeZ8cd/uZBtHhTCoG50/QMRPPjGIQDAN9bOwb+snsGyAAU48yywmU0Ix+LJDSpshpvuX57YjkMdAXidDjy5fgWmlxcqPSTDYqdPnWMR+ugeeecYgMSmCAZ0ymEPsNH9fttJDEXiqPcWMaBTkCAIvE5Hsbu5Hx+e6IXNbMLTX7yAAZ3CGNTpnHwj4vLrMMe7gnijMXH+8E2rapUdjMGl91MURfEcrzaOeFzEb94/AQBYt7KWAZ3CmFEe2ZNbE9fo5Qu8mFbKum2lMajTOfmByUzdMI+9dxyiCFw8p5wzS4VJbWNC0Tj8bL0je/tQJ050D6DIYcE1S6uUHo7hMag7UyAUxfMNpwAA/7hiqsKjIYBBne7xRnQm31AEv//wJADg5gvrFB4N5dnMKEq222FGOeW3ySzdPyyvRr6N5c9K4/LrmZ5vaMFAOIbp5QVYUVei9HAIDOp0jzeiM/3+w2YEwzHMrCjEx2aVKT0cAlDOlhHDnOwZwKYDifKAf7pgmsKjIYBHhZ1OFEU8uaUJAPCP509leYBKMKjTOelG1B0IIRZnvVIsLuLX7x0HANx8IeuU1IIbeoZ7YksTRBH46MwyzGB5gCpw1WO43S392HvKB5vFhM8sq1Z6OJTEoE7nSgpsEAQgLgLdQd6MNu1vR1PPAFx5Vvz9Ut6I1CK1oYetd4YiMTz9QSIDcsNKZunUghOP4aQs3ScXeFFcYFN4NCRhUKdzFrMJpcl/cJxhAo++exwAcN35U5FnYwNRteCGnpSXdrWidyCCKpcDl9ZXKD0cSpIzdZx4wD8UwQs7pQ0SnHioCYM6AyhPaxlhZPtbfdh8tBtmk4B1zICoCpe2Uh5PbpC4/oJpsJh5i1aLCmdq4mH01jvPNZzCQLIu+SO1xUoPh9LwjmEA3CyR8Oi7iWbDly/wosqdp/BoKB2DuoRdzX3YebIPNrMJn/tIjdLDoTRlhYkVj0hMRP9gROHRKCd9g8R13CChOgzqDIC7thIbRZ5L9lP65wtrlR0MnYFBXcLjmxNZuk8u9Mr9+0gd7BYzXHlWAMa+Tnc292N/q7RBYorSw6HTMKgzAD4wgd9tbUI4GseiaheWTeVygdpw4gH0BsP4U7JO6YaVtcoOhkbEVQ/gyS2JicenFlbCnc8NEmrDoM4A5F1bBr0RhaNxOQPyzxfWcblAhaSHZc9AGJFYXOHRKOP3204iFI1jfpUTy6a6lR4OjcDokw/fUAR/2tkKALiOJ0ioEoM6A6gweGPXV/a0osMfQkWRHZ9cWKn0cGgEJfk2mE0CRBHoDoSVHk7OxeMifvt+ok5p3cppnHiolNFXPZ7f0YLBSAyzKgpx3jSueKgRgzoDMHp/pT/vbQcAfO4jNbBZeMmrkckkyIXoRnxg/vVgJ5p6BuB0WPDpxaxTUivpXtrhN15bE1EU8YR0gsQKbpBQKz7hDMDIjV1FUcSWY90AgI/PLld4NHQ2chYkYLzrVKql+8zyavZPVDEjr3rsONmHA21+2C0mNm5XMQZ1BiD1VwqGYwiGogqPJreOdAbQFQjDbjFhUbVL6eHQWchZEJ/xHphbjvUAAC5hs2FVS008jHeNPru9GQBw5aJKuPKtCo+GRsOgzgAKbGbkWROz/y6D3Yw2H008LJdPK4bdwgyImlUYtEl2c+8AWvoGYTEJWM46JVUrLzTmNQoA7yfvpZfP9yo8EjobBnUGIAiCYbfiv380sfR6wfRShUdC52LULMjWZJZuwRQX8m0WhUdDZ2PU+2hPMIzDHQEAwEdqSxQeDZ0NgzqDMOJWfFEUsSU5u2RQp35G3VkoBXUr6viwVDvpPto3EEEoGlN4NLnzwfHENTqrohDFBexNp2YM6gzCiA/MI51BdAVCsFtMWFzDejq1M2oWRArqzmdQp3quPCus5sSuTyO13vkwGdR9hNeo6jGoM4jUA9M4OwulpddlU1lPpwVGzCZ3+IZwtCsIQQDO47KW6iVa7xjvOt16vBcAcD6vUdVjUGcQRnxgsp5OW9KzyaIoKjya3NiazIDM9Trlc0VJ3YyWUR4IR7G3pR8AM3VawKDOIIy2/JroTyfV0/FGpAXSNToYiSFgkNY7XHrVHqNNkHc09SEaF1HlcmCKO0/p4dA5MKgzCKPNLo92BdHpD8FmMWFxjVvp4dAY5NssKLQndn8a5YHJTRLaY7QJsnSNMkunDQzqDMJoPcBS9XRuOKysp9MKIz0we4NhHGjzA2CmTkuMdlSYtPOVrUy0gUGdQUgPy65ACLG4/uuV2MpEm1IPTP0HddLDcmZFIUqTvzepX7nTOBPkSCyOHU19ADjx0AoGdQZRWmCDIABxMdFIUs9EUeQmCY0qN9DZmqyn0yZp4mGEJtl7WvoxGInBnW/FzPJCpYdDY8CgziAsZhNKk00j9f7APNYVREeynm4J6+k0xUgPzC2sp9MkI5UISNnk86aVwGQSFB4NjQWDOgMpM0gtiHRG4dIa1tNpjbyhx6fvB6Z/KIK9pxJtIpip05aKtE1nem+9s/VYsj9dHc8k1goGdQZilBnmlmNcetWqCoOc/7rtRC/iIjC1JB+VLraJ0BLpPhqOxuEb0m/rnXhcxIcnuElCaxjUGYi8A1bHD8z0eroV7E+nOUaZeLCeTrscVjOKHPpvvXO4M4C+gQjyrGYsmMJjFrWCQZ2BGGFp63j3ANp9IdjMJiybyiUDrTFKUMd6Om0zwnUqTTyWTnXDamaooBX8f8pAjLC0tSWZpVvC/nSaJD0su4MhRGNxhUeTHYPhGHY19wEAVtSxRECLjNCrjv3ptIlBnYEYYXbJVibaVlpgh0kARB233tlxsheRmAiv04GaEtbTaVGFAXrVfcASAU1iUGcgeg/qEvV0yabDvBFpktkkyI149dqAWGqMfX5dCQSBbSK0SO+td1r6BnGqfwhmk8C2UBrDoM5A9H4Q9YnuAbT5hmAzm7CU9XSaJT8wdXqdyue9ciOPZskTZJ3WJ0tZugVVThQkz2MmbWBQZyDSjSgQimIgrL+t+FIrkyU1buTZWE+nVRU6PlUiHI1je1Oi9xc3SWiXJ3mNtuu0pm4r6+k0i0GdgRTaLXBYE/+X6/GBKS+9MgOiaXpe2trV3IdQNI7SAhtm8NglzfIma+ra+vUZ1EmZuo9w4qE5DOoMRBCEVK86nQV1w/vTcZOElqVa7+jvgbnlGOvp9MDjStxH23W4/NobDONQRwAAM3VaxKDOYPS6WaKpZwCt/UOwmgX2p9O49GOY9IZNh/XBk8zUBUJRBEL6KmWRWpnMrChESfK8cNIOBnUGU67TnYVSndLCKS7W02mc9MBs11mmLhqLY9sJ6SxNBnVaVmi3oDC5gUBvS7DsT6dtDOoMRq9F6Ptb/QASQR1pm16Xtva1+hAIRVHksKDe61R6ODRJ8mYJnU0+th6XJh5c8dAiBnUGo9d2EftO+QAAcyv5sNQ6b1qmLh4XFR5N5uw82QcAWDa1GGYT6+m0zuvS32aJgXAUe1v6ATBTp1UM6gxGqqnT01Z8URSxv5VBnV6UF9khCEA0LqIrqJ/Jx75kNnl+Fa9RPZDLBHR0L93R1IdoXESVy4Hq4nylh0MTwKDOYDw6nF12+kPoDoZhEoA53iKlh0OTZDWbUJbMKLf36yeo48RDX+SMso7upbuTWbql07j0qlUM6gym0qW/IvS9yYfl9PJCOKzcJKEHch8wnVynsbiIxrZEpm5uJSceeiAvv+rkGgVSE495nHhoFoM6g5Eelr0DEQxFYgqPJjOYAdEfvT0wm3oGMBiJwW4xoba0QOnhUAZIPT/bdLSh50ArJx5ax6DOYFx5VvlUCb1k66Sdr5xd6ofelrakicccbxEsZt529UCaeOjlGg1FYzjSmWg6zN3Z2sW7i8EIgqC7I272nUrUgXB2qR96y9TJ2WQ+LHVDuo92BkKI6WCX9uGOAKJxEa48q1ymQ9rDoM6APDqqVxqKxHCsKwiAmTo90VsD4lSJACceelFWaINJSNRLduvgnGJp6bXeW8Qj7DSMQZ0BVepoB2xjmx9xMXGDldq1kPZJWZBWHVyjQKpEgHWf+mExm+R7jh4myKxN1gcGdQYktTXRwwNzX9qNiLNL/fC6pJYm2r9G+wciaOkbBADU84GpK3oqZTnA3dm6wKDOgCp1tLTFLfj6JC2/+kNRBDV+YPr+tsQ1OsWdB1eeVeHRUCbppUwgvYE7N0loG4M6A9JTETqPB9OnIocVBbZEz0GtX6esp9MvvdQndwZSDdxne3idahmDOgPyuvIAaH/JIB4X05YMGNTpjV5aRhxgPZ1upc5/1fZGCekarS0rQJ6NDdy1jEGdAUl1IB1+bW/Fb+4dRCAUhc1iwvRyNnTVG71klKXlVwZ1+qOX5Ve23NEPBnUGVF5kh9kkIBYX0aXhrfj7WhP96WZ7CmFlQ1fd0cPSVjQWTzsejA9MvfHqJKjjJgn94JPQgMwmAeXJA9O1vAS7T1rW4uxSl/Sws/B4dxChaBz5NjOmleQrPRzKMGmXtpYnHgC4SUJHGNQZlB7amsg7X6t4I9Ijrw76KUoTjzneIphMbLmjN/Iu7aEoBsLa3KUdjsZxuCNxPNhc3ks1L6tBXU9PD66//no4nU643W7ccsstCAQCZ/2e1atXQxCEYX9uu+22bA7TkPTQ1oQ7X/VND/VKbOiqb4V2C/KlXdoanXwc6UwcD+Z0WFDF48E0L6tB3fXXX4+9e/fi9ddfx4svvoi3334bX/jCF875fevXr0dra6v857777svmMA3Jq/FMXf9gqqErl1/1yauDmjoGdfo27CxtjV6n8tIrG7jrgiVbP3j//v149dVX8cEHH+C8884DADz44IP45Cc/iR/+8Ieoqqoa9Xvz8/Ph9XqzNTRCWrsIjd6IDrSmNXTNZ0NXPZKOs+v0hxCNxWHR4GYYuZ2JlwXoeuVxOnC0K6jde2kbr1E9ydpdcvPmzXC73XJABwBr1qyByWTCli1bzvq9TzzxBMrKyrBgwQJs3LgRAwMDo742FArB5/MN+0PnpvUi9H3MgOheaWFil3ZcBLoCYaWHM269wbCcveHxYPqVmiBrs5NAeqaOtC9rmbq2tjZUVFQMfzOLBSUlJWhraxv1+/7xH/8R06ZNQ1VVFXbt2oV/+7d/Q2NjI5599tkRX3/vvffi29/+dkbHbgRa7wGWOh6Ms0u9MpsEVBTZ0do/hDbfkHzNaoV0jU4tyUehPWu3WlKYR+MT5P1sjq0r487Ufetb3zpjI8Ppfw4cODDhAX3hC1/A2rVrsXDhQlx//fV4/PHH8cc//hFHjhwZ8fUbN25Ef3+//OfkyZMTfm8jSc/UiaL2GhBLNyLufNW31ANzUOGRjN8+Hg9mCF5noq2JFpdfO/0hdAVCEIREv0/SvnFPH++44w7cdNNNZ33N9OnT4fV60dHRMezr0WgUPT0946qXW7FiBQDg8OHDmDFjxhl/b7fbYbfbx/zzKEHKegxGYvANRjVVlxaNxdHYztmlEWi5TIAZEGPQcpPsA8nTTupKC5BvYzZZD8b9/2J5eTnKy8vP+bqVK1eir68P27Ztw/LlywEAb7zxBuLxuByojUVDQwMAoLKycrxDpbNwWM1w51vRNxBBm29IU0Hd0a4gwtE4Cmxm1BSzoauepcoEtFevxJ2vxuDR8BnF0kaeemaTdSNrGyXmzp2Lyy+/HOvXr8fWrVvx7rvv4vbbb8fnP/95eedrS0sL6uvrsXXrVgDAkSNH8J3vfAfbtm3D8ePH8cILL2DdunX4+Mc/jkWLFmVrqIYlZUFaNba0lf6wZENXfdNqr7pILNXQdR6DOl1LP0s7rrGztHmShP5ktUfAE088gfr6elx66aX45Cc/iY9+9KP45S9/Kf99JBJBY2OjvLvVZrPhL3/5Cy677DLU19fjjjvuwGc+8xn86U9/yuYwDUurbU3YdNg45GOYNJYFOdIZQDgWR6HdguriPKWHQ1lUXmSHIADRuIjuoLZ2ae/nucS6k9VF9JKSEjz55JOj/n1tbe2wIv2amhr89a9/zeaQKE2qXklbS1v7eDyYYXidiYBIaxMPeVnLW8SGrjpnNZtQVmhHpz+Edt8Qyou0UeOdyCanrlPSB+1186SMSdUraXf5lfQtvfWOlnZp8xo1Fi1u6DnSGUAkJqKI2WRdYVBnYFq8EXX4h9AVCMMkAHM8nF3qnXSNDoRj8A1p58B0Nsc2Fk+yrYmWdsCmb5JgNlk/GNQZmBbPf5XaRNSVFSAveZA26VeezQynI1EloqUl2FQ7E048jECLG3qYTdYnBnUGpsWNEtwkYTzyEqxGJh/pDV3nsFbJELS46iFtkuDOV31hUGdglcki9N6BCIYiMYVHMzacXRqP1pq7StcoG7oah0eDxy6mznzlxENPGNQZmDPPAoc1cQloJVu3nztfDUfKgmiluSsnHsYj96rTSJPsrkAInf5kNpm1ybrCoM7ABEFIa0Cs/gfmUCSGI51s6Go0lRrLghxoYz2d0Xg1do02Jq/RaSX5KLAzm6wnDOoMTkt1dYc7AoiLgDvfigqN9IKiyfNo6BoF2KXfiKQSgf5BbZSyMJusXwzqDE5LBb6Hko0yZ3u4Bd9ItJRNDkVj8vFgc1kiYBhOR6qURQv30v2t3CShVwzqDM7rSmyW0MID82B74mE521Oo8Egol7TULuJoZxDRuIgihwVVyQwj6V96KYsWlmC5SUK/GNQZnDfZNFMLD8xD7alMHRmHVCLQFQgjHI0rPJqzO5i8Rucwm2w4Wpl8JI4HY22yXjGoMzgtZeoakw/MWRUM6oykJN8GqzkRIHX41X2dHkpmk2dx4mE4WqlPPt4VRDgWR4HNjCluHg+mNwzqDE4rN6KBcBQnexJn1HL51VhMJgEVRdq4ThvlbDKvUaNJ1Seru62JfI16i2AyMZusNwzqDE5qF9HhDyEWV++B6dJyQVmhDaWF3PlqNKlTJdT9wGSJgHFpZflVrk3miocuMagzuLJCO8wmAbG4iK6Aeh+Y0o2IS6/GpIU+YEORGE70DABgUGdEWjn5RJp4zGI2WZcY1Bmc2SSgPJn5UvNW/ENc1jI0rwayIIc7AhBFoDjfirJCm9LDoRzzutR/HwXSSwQ48dAjBnUkZ0HUvFlC3iTBG5EhaaFX3cG0a5Q7X41HytR1+IcQV2kpSygaw4nuRDZ5jpf3Uj1iUEeayIJIuwp5IzIm+VQJVQd17KNoZNJmnkhMRM9AWOHRjOxoZxCxuAinw8JTeXSKQR2pPlMXCEXR0pfc+cqaOkPSQmPXQ2k96sh4bBaTvOyu1gnywXaeyqN3DOpI9W1NpIdlRZEdrnyrwqMhJaQHdaKozqWtgx0sETA6te+APZjWzoT0iUEdyW1NWvsHFR7JyA7Jy1q8ERlVRfLkk3A0jr6BiMKjOVMwlN5HkdepUXlU3qsu1c6EJQJ6xaCO0maX6rwRNXILvuE5rGaUFCSWttS4BJveR1EaJxmP2tuaHOTOV91jUEfDMnVqXNo6yFolgrofmAd5hB0hbdOZCuuTB8MxNEl9FLn8qlsM6kh+WA5F4vANRhUezZl4niYBgNep3j5ghzq4O5vSetWpcOJxpDPRR7GkwIYynsqjWwzqCA6rGe7kBgS13Yz6ByPymLj8amypo8LUdY0CQGMbSwRI3Rsl5GuU9XS6xqCOAKQ3d1XXZonDyR2FlS4HnA7ufDUyNT8weeYrAeruJCDtzuY1qm8M6giAem9GjW3c+UoJau1V5x+K4FQye8g+isbmSTYg7h2IYCgSU3g0w8ldBFgioGsM6ghA+mYJdT0wD/LMV0ryqHT5Vaqn8zjZR9Ho3PlW2CyJx2qHyroJSMuvbGeibwzqCIB6l7YOsaErJan1OLuDbVzWogRBEFSZUQ6mn8rD61TXGNQRADVn6rj8SgnSNaq2pS3pGmU7EwLUWSYgZZPLi+woZh9FXWNQRwDSO6Gr50bUGwyj059YwuCOLXLlWWFPLm2pKVt3qIMlApRS6U7cS1t61bPpLJVN5jWqdwzqCABQ6coDoK6HpVRPV12chwK7ReHRkNIEQVBlWxOep0npppUWAACaeoIKjySFzbGNg0EdAUgtGahpaetgB5deaTi1nSrRPxCRj9djNpkAoLY0HwBwvGtA4ZGkHGRzbMNgUEcAAGeeBQ6rupa2DvHMVzqNVFd3qk8d16jU+6vK5UAR+ygSUpm6E93qydQdYhcBw2BQRwASS1vSEqxaNkvIy1pcMqAktT0w5WUtZpMpScrUneofUsWqR/9gRL6nz+S9VPcY1JHMkzxbUz2ZOi4Z0HDSA/NYlzqCOl6jdLqSAhuKkjXAJ3uUX4KVTuXxOh1w5TGbrHcM6kgmZeqkfkZK6gqE0B0MQxCAGeVcMqCE2rJEpu64SjJ1PE+TTicIAqaVJevqupUP6g7yJAlDYVBHsqkliRvRCRUU+ErLWlNL8pFnMys8GlKLuuTya7svhIFwVOHRpLcz4QOTUtRUJsCTJIyFQR3JppcnbkTHVHAjOsSGrjSC4gKbvIR0QuEsSE8wjK5AGAAwkw9MSiPvgFXDvZQTD0NhUEeyuuTSlhrqlXjmK41GXoJV+DqVrtGaEvZRpOFSmTo1rHpw+dVIGNSRTHpYdvpD8A9FFB2L9MBkATqdrk7aLKFwFuQQd2fTKGpL1VH7yVN5jIdBHcmcDivKChM7YJVsnCmKIs/TpFGpJVPXyHYmNApp+bWldxDhaFyxcUiT4yluZpONgkEdDVOX3LV1tCug2Bg6/SH0D0ZgElJ1fkQSOQui8IYeeVmLJQJ0mvIiO/KsZsRFoLlXues0dSoPr1GjYFBHw9SVKf/AlB6WtaUFcFi585WGkzJ1Si6/iqKY1qWfmToaThAETEtm65SsqzvYxnOJjYZBHQ1TV5aY0R1TMFN3kA9LOguprUmnP4RgSJm2Jl2BMHoHIhAE7nylkamhro6n8hgPgzoaRg07YLnzlc7GlW9FcX6irYlSD0zpGp1Wks9sMo1IakCsVKYuUZvMCbLRMKijYaQatqNdQYiiqMgYeJ4mnUutwmUCvEbpXJTO1DGbbEwM6miYqSX5EATAPxRFdzCc8/ePxUUcSNaB1LMOhEZRp/ADk5sk6FyUrqk7xFN5DIlBHQ3jsJpRlTwDVomWEce7gxgIx5BnNWM6z3ylUdQqXCbATRJ0LlKm7mTPAKKx3Lc1kbPJrKczFAZ1dIb0Jdhc23vKBwCoryyC2STk/P1JG6QsiBITj3haNpnNsWk0XqcDNosJ0biIU31DOX9/qZ3JHC8nx0bCoI7OoORmib2n+gEA86ucOX9v0g659Y4Cy68negYQCEVht5gwk9lkGoXJJGBaSXIJtif316nczoTZZENhUEdnkIO6ztzfiPYlM3Xzq1w5f2/SDmn5tSsQzvmRdntaEhOP+konLGbeQml00+Taz9zW1cXjIhoZ1BkS70h0BqXqlURRlJdfmamjs3E6rCgtsAHIfSH6nmQ2eQGvUToH6biwEzm+lzb1DMAfisJmMXHnq8EwqKMzTE9b2orHc9fWpM03hJ5gGGaTwNklnZNSkw8pm7xgCrPJdHZy7WeOJx67k9nkud4iWJlNNhT+v01nmOLOg9UsIBSNo9WXuwLfvS2Jh+WsikI2dKVzSp0Bm7ugThRFefl1AUsE6Byk5dcTOa79lK9RTjwMh0EdncFiNmFqssA3l3V10tLrPC5r0RhIS1u5PAP2VP8QegcisJgEzOauQjoHaeJxomcgp6seUonAQgZ1hsOgjkaU2gGbuzNgUztfeSOic0udKpG7oE7KgMzyFMFuYTaZzq7K7YDFJCAcjaMtR6seiWwySwSMikEdjUgK6nLZq46bJGg8Um1NclevtLeFmyRo7CxmE2pKpLq63NxLT/YMon8wApvZxNpkA2JQRyOqK0ssLeUqC9I3EEZL3yAALr/S2EiZup5gGP2DuWlrsoebJGiccn1cmLT0OsdbBJuFj3ij4f/jNKJcNyCWdhROLcmH02HNyXuSthXaLSgrtAPIXSG6VCKwYAonHjQ2tTk+p3h3C69RI8taUPfd734Xq1atQn5+Ptxu95i+RxRF3HXXXaisrEReXh7WrFmDQ4cOZWuIdBbSUWEnewcRjmb/3EIuvdJE1JUlN0vkYPLR4R9Cuy8EQQDqvbxOaWzkTF1XjjJ13PlqaFkL6sLhMK699lp86UtfGvP33HffffjJT36Chx9+GFu2bEFBQQHWrl2LoaHcn5tndBVFduTbzIjFRZzszf7NiMeD0USk2prk4hpNTDymlxWgwG7J+vuRPuQyU5fecoc7X40pa0Hdt7/9bXz961/HwoULx/R6URTx4x//GHfeeSeuvvpqLFq0CI8//jhOnTqF5557LlvDpFEIgiDfjHLR1mQvjwejCajN4Rmwe5kBoQlIr6kTxey2NWnpG0y13OEmCUNSTU3dsWPH0NbWhjVr1shfc7lcWLFiBTZv3qzgyIyrrjw3D8zBcAxHOhOtU5ipo/GQJx45WH6V20Rw4kHjUF2cD5MADEZi6PSHsvpe0jU621PEBu4GpZo1hLa2NgCAx+MZ9nWPxyP/3UhCoRBCodQ/FJ/Pl50BGtD0HLU1OdDmQ1wEygrtqHA6svpepC+1ZVIWJAeZutZkiQAL0GkcbBYTphTn4WTPII53D2T1HreHmyQMb1yZum9961sQBOGsfw4cOJCtsY7o3nvvhcvlkv/U1NTk9P31TN4Bm+Xl1z3cJEETJGXqegci6B/IXluT/oEITvYkWu7Mr2SmjsYnV3V1u1lPZ3jjytTdcccduOmmm876munTp09oIF6vFwDQ3t6OyspK+evt7e1YsmTJqN+3ceNGbNiwQf7fPp+PgV2G5OrA9H3cJEETVGC3oKLIjg5/CMe6g1iS787K+0gbeWpK8uDKZ8sdGp9ppfn426HsZpSHnUvMoM6wxhXUlZeXo7y8PCsDqaurg9frxaZNm+QgzufzYcuWLWfdQWu322G327MyJqOTll/bfEMYCEeRb8vOaj03SdBk1JYVoMMfwvGuIJbUuLPyHlJDV9bT0USkMnXZ26Xd5htCdzAMs0nA3EpOkI0qaxslmpqa0NDQgKamJsRiMTQ0NKChoQGBQOos0fr6evzxj38EkNht+bWvfQ3/9V//hRdeeAG7d+/GunXrUFVVhWuuuSZbw6SzcOfbUJzMSmSrZUQkFseBNj8AZupoYmpLs9+rjmdp0mRMSwZ12czU7W5OnktcUchNEgaWtY0Sd911F37961/L/3vp0qUAgDfffBOrV68GADQ2NqK/v19+zTe/+U0Eg0F84QtfQF9fHz760Y/i1VdfhcPB4nml1JUVoLepD8e6glk5vutIZwDhaByFdgumJs9IJBqPXLQ12cMSAZqE2rQGxKIoQhCEjL8Hj7AjIItB3WOPPYbHHnvsrK85vWePIAi45557cM8992RrWDROdWWF2N7Uh2NdgXO/eAL2JjMg8yqdMJkyf6Mj/auTGxBnJ6gLhqJyFpAlAjQRNSX5EATAH4qiJxhGaWHmS4bkejpOPAxNNX3qSJ2kY5iy1dZEqqfLRhaQjCGVqctOicD+Vh9EEfA47SgvYv0ujZ/DakZlspVJtq5T+SSJak48jIxBHZ1VXVkhgOzVK/F4MJosqQi9fzCC3mA44z8/lQHhw5ImLpt1dR2+IXT4QzAJ4CYJg2NQR2cl9arLxtKWKIrY18qdrzQ5eTYzvMksyLEsPDDlPoqsVaJJSDXKznymTupPN6O8MGtdCkgbGNTRWUk3ot6BzGdBTvYMwj8Uhc1swixPYUZ/NhmLdJ1mY/LBWiXKhGxm6qTd2Ww6TAzq6KzybRZUurKTBZGWXmd7C2E181KkiavN0maJoUgMhzsSm4S4q5AmQ9oBm42aOilTx2wy8UlK5yQfmp7h48LkpsM8dokmST79JMMPzIPtfkTjIorzrfLkhmgispup4/FglMCgjs6prjw7x4XJmyR4+DRNUm2WHpjpTYez0VuMjGNaaaqUJZPnFHf6Q2jzDUEQ2EWAGNTRGEyXsyBZytTxRkSTVJd2TvHp/S8nI9V0mBkQmpx8mwVVyWyvdF1lgvSz6soKUGjnJgmjY1BH5yQ/MDO4/NrpD6HDH4IgAPVeBnU0OVIWxD+UaO6aKXvlA9J5jdLkXTCjFADw7uGujP3MvVx6pTQM6uicspEF2Zs2uyzg7JImyWE1o7o4D0CqBclkRWJx7E+eS8wedZQJF84oA5DZoG43gzpKw6COzqmmJB9mk4DBSAztvlBGfmZq6ZU3IsqMVcksyNsHOzPy83guMWXahTMTQd3ulv6M1dVJdZ+8lxLAoI7GwGo2yctbu5r7MvIz3zuSmKku5pE2lCEfn10OIHNBnfSwnFfFc4kpM7wuB2ZWFCIuApuPdk/65/UEw2jpGwTADWeUwKCOxuRjyRnmm42Tf2D2D0Sw5WgPAGDNXM+kfx4RAHx0ZhlMAnCoI4BTyQfdZEgTGC69UiZdmMG6OqmVSW1pPpwO66R/Hmkfgzoak0uSwdcbB9onXVf3ZmMHonERsz2Fcn8xosly59uwuMYNYPLZOlEUsWl/BwDg/LqSyQ6NSCYtwb57ZPJB3W55Iw8nHpTAoI7GZEVdCfJtZrT7QnI93ES9vq8dAHDZPG8mhkYkuyi5BPvXSQZ1u5r70dI3iDyrWf6ZRJlwwYxSmATgaGdw0hnlrccSKx6LWMZCSQzqaEwcVjM+mpxhvnGgY8I/JxSN4a3GxPd/Yh6XXimzpLq6dw53IRqLT/jnvLKnDQBwSX0F8mzmjIyNCACcDisWVbsBTG4JtjcYlr//UpaxUBKDOhqzS+orAACbJhHUvXekG8FwDF6ng1vwKeMWV7vhyrPCPxTFzglu6hFFEa/uaQUAXL6A2WTKPGmC/N6RiW+WeHVvG6JxEfMqnZhRXpipoZHGMaijMbs4GdTtPNmHTv/EWptIS69r5lVwRyFlnNkk4GOzEg/Mv05wU8+BNj+Odw/AZjHJ1zxRJkl1de8c7ppwjfKLu04BAK5aXJWxcZH2MaijMfOkZdfebBx/ti4eF+Wg7hOsp6MskZZg/3poYktbr+xOZOkuml3OY5coK5ZNc8NhNaHTH8KhjsC4v7/DP4TNySzfpxZVZnp4pGEM6mhcpCXYNyewBLuzOZHhK7JbsHJ6aaaHRgQgtVliV3PfhI4Mk+rpruDSK2WJ3WLGR2oTu6onUlf3yu42xEVgSY0bNWyMTWkY1NG4XDo3EdS9fbAT4ej4CtH/nMzSXTSnHDYLLz3KDo/TgXpvEUQxsbw1Hoc7AjjUEYDVLLD4nLJKqqubSFDHpVcaDZ+sNC4LqlwoL7IjGI7J2+nHSm5lMp8ZEMouubXJOOvqpA0SF84sgyuPzVwpe6S6uveP9oxrp/apvkF8cLwXggBcuZBLrzQcgzoaF5NJwCVzpF2w7WP+vqOdARxOZkBWz2HfL8ou+ciwQ53jKkR/eTeXXik35lU64c63IhCKYmdz/5i/7+VkzedHakvgdTmyNTzSKAZ1NG7SjsBN+zvG/MCUsnQXTC/lcTaUdefVFiPPakanP4T9rf4xfU9T9wD2tfpgNgncyENZZzIJuHDG+Jdg/7QzufTKDRI0AgZ1NG4fnVUGm9mEpp4BHOkMjul7UqdIsE6Jss9uMWNl8ozNtw+NbQn2leTS6wXTS1BSYMva2Igkq2YmrtGx1n6e6A5iZ3M/TAJwBZdeaQQM6mjcCu0WrJie2Lk1ll2wnf4QtjX1AgDWMKijHBlvXZ206/XyBXxYUm5ImyV2NPViIBw95+tf3JWq+SwrtGd1bKRNDOpoQi6tH3td3RsH2iGKifMJK1152R4aEYBUXd2HJ3oQDJ39gXmqbxANJ/sgCMDa+Zx4UG5MLclHdXEeIjFxTBvPpKVX9qaj0TCoowm5pD7x4PvgeC/6ByNnfe2f9yYbDrNFBOVQbWk+ppbkIxIT5Uato3k1maX7yLQSVBSx+JxyQxDGXld3uMOPA21+WM0C1rKDAI2CQR1NyNTSfMyqKEQsLuLtg6Mvbw2Eo3K9CFuZUC4JgiAvwZ6rru5VeemV1yjl1oWzpKDu7BOPP+1MLL1+bFY53Pms+aSRMaijCbsk2Yj4jbPU1b19sAuhaBxTS/Ix28NDpym35CPDzjLx6PAP4YMTiaUvBnWUa6uSG3r2tfrQHRj5TG1RFPEnueEwl15pdAzqaMIuTS7BvtnYgVh85NYmf96XyIBcNs8DQRByNjYiAFg5oxRWs4AT3QM43jXyTu3X9iZqPhfXuFHlZs0n5VZZoR313iIAwHujlAnsb/XjaGcQdosJa1jGQmfBoI4mbNlUN1x5VvQNRLAjubs1XTQWl7N4n+CuV1JAod2C5dOKAYy+BCudIvFJZulIIdIu2L+Nco1KWbqL51SgiH0+6SwsSg+AtMtiNuGi2eV4YecpvL6/HcUFNuxv9SX/+LG/1Ye+gQiK863yg5Uo1y6aXYH3j/bgqa0n4R+KwmwSYBYEmEyJzPH7RxNLr1ewlQkp5MJZZfjVO8fwzIfNeKuxE4uq3Vhc7cKiGjcWTXGlGg7zrFc6BwZ1NCmXzq3ACztP4Rd/PYpf/PXoiK+5aVUdLGYmhUkZq+eU479fPYB9rT7sa/WN+Jp5lU5MLc3P8ciIElbNKMWFM0ux+Ug3Ovwh/GV/O/6yf3i7qHybGZckW0kRjYZBHU3K6tkVcOVZ0T8YgcNqwhyvE/MqizC30om5lU7M8RbxWDBS1NxKJ+65ej72nfIhLoqIxZH8TxExUYRJEHDjymlKD5MMzG4x44lbL8BAOIq9p3zYebIPu5r7sau5D8e7BwAAn15chTybWeGRktoJ4nhOu9YAn88Hl8uF/v5+OJ1OpYdjCF2BEHyDEUwrLYDZxM0QRESZ0j8QwbHuIOq9RXBYGdRpVa5iE2bqaNLKCu08soaIKAtc+VYsyXcrPQzSCBY6EREREekAgzoiIiIiHWBQR0RERKQDDOqIiIiIdIBBHREREZEOMKgjIiIi0gEGdUREREQ6wKCOiIiISAcY1BERERHpAIM6IiIiIh1gUEdERESkAwzqiIiIiHSAQR0RERGRDjCoIyIiItIBBnVEREREOmBRegCZJooiAMDn8yk8EiIiIqJUTCLFKNmiu6DO7/cDAGpqahQeCREREVGK3++Hy+XK2s8XxGyHjTkWj8dx6tQpFBUVQRCErLyHz+dDTU0NTp48CafTmZX30At+VmPDz2ns+FmNDT+nseNnNTb8nMbu9M9KFEX4/X5UVVXBZMpe5ZvuMnUmkwnV1dU5eS+n08kLe4z4WY0NP6ex42c1Nvycxo6f1djwcxq79M8qmxk6CTdKEBEREekAgzoiIiIiHWBQNwF2ux1333037Ha70kNRPX5WY8PPaez4WY0NP6ex42c1Nvycxk6pz0p3GyWIiIiIjIiZOiIiIiIdYFBHREREpAMM6oiIiIh0wLBB3UMPPYTa2lo4HA6sWLECW7duPevrf//736O+vh4OhwMLFy7Eyy+/POzvRVHEXXfdhcrKSuTl5WHNmjU4dOjQsNf09PTg+uuvh9PphNvtxi233IJAIJDx3y2TlPicvvvd72LVqlXIz8+H2+3O9K+UNbn+rI4fP45bbrkFdXV1yMvLw4wZM3D33XcjHA5n5ffLFCWuqU9/+tOYOnUqHA4HKisrccMNN+DUqVMZ/90yTYnPShIKhbBkyRIIgoCGhoZM/UpZocTnVFtbC0EQhv35/ve/n/HfLdOUuqZeeuklrFixAnl5eSguLsY111yTyV8r43L9Ob311ltnXE/Snw8++GDsAxcN6KmnnhJtNpv4yCOPiHv37hXXr18vut1usb29fcTXv/vuu6LZbBbvu+8+cd++feKdd94pWq1Wcffu3fJrvv/974sul0t87rnnxJ07d4qf/vSnxbq6OnFwcFB+zeWXXy4uXrxYfP/998W//e1v4syZM8Xrrrsu67/vRCn1Od11113ij370I3HDhg2iy+XK9q+ZEUp8Vq+88op40003ia+99pp45MgR8fnnnxcrKirEO+64Iye/80QodU396Ec/Ejdv3iweP35cfPfdd8WVK1eKK1euzPrvOxlKfVaSr3zlK+IVV1whAhB37NiRrV9z0pT6nKZNmybec889Ymtrq/wnEAhk/fedDKU+qz/84Q9icXGx+POf/1xsbGwU9+7dKz799NNZ/30nSonPKRQKDbuWWltbxVtvvVWsq6sT4/H4mMduyKDu/PPPF7/85S/L/zsWi4lVVVXivffeO+LrP/vZz4pXXnnlsK+tWLFC/OIXvyiKoijG43HR6/WKP/jBD+S/7+vrE+12u/i73/1OFEVR3LdvnwhA/OCDD+TXvPLKK6IgCGJLS0vGfrdMUuJzSvfoo49qJqhT+rOS3HfffWJdXd1kfpWsUsvn9Pzzz4uCIIjhcHgyv05WKflZvfzyy2J9fb24d+9e1Qd1Sn1O06ZNEx944IEM/ibZp8RnFYlExClTpoi/+tWvMv3rZI0a7lPhcFgsLy8X77nnnnGN3XDLr+FwGNu2bcOaNWvkr5lMJqxZswabN28e8Xs2b9487PUAsHbtWvn1x44dQ1tb27DXuFwurFixQn7N5s2b4Xa7cd5558mvWbNmDUwmE7Zs2ZKx3y9TlPqctEhNn1V/fz9KSkom8+tkjVo+p56eHjzxxBNYtWoVrFbrZH+trFDys2pvb8f69evxm9/8Bvn5+Zn8tTJO6Wvq+9//PkpLS7F06VL84Ac/QDQazdSvlnFKfVbbt29HS0sLTCYTli5disrKSlxxxRXYs2dPpn/FjFD6mpK88MIL6O7uxs033zyu8RsuqOvq6kIsFoPH4xn2dY/Hg7a2thG/p62t7ayvl/7zXK+pqKgY9vcWiwUlJSWjvq+SlPqctEgtn9Xhw4fx4IMP4otf/OKEfo9sU/pz+rd/+zcUFBSgtLQUTU1NeP755yf1+2STUp+VKIq46aabcNtttw2bgKqVktfUV77yFTz11FN488038cUvfhHf+9738M1vfnPSv1O2KPVZHT16FADw//7f/8Odd96JF198EcXFxVi9ejV6enom/4tlmNL3Kcn//d//Ye3ateM+y95wQR2RHrW0tODyyy/Htddei/Xr1ys9HFX6xje+gR07duDPf/4zzGYz1q1bB5G914d58MEH4ff7sXHjRqWHonobNmzA6tWrsWjRItx22224//778eCDDyIUCik9NFWJx+MAgP/4j//AZz7zGSxfvhyPPvooBEHA73//e4VHp07Nzc147bXXcMstt4z7ew0X1JWVlcFsNqO9vX3Y19vb2+H1ekf8Hq/Xe9bXS/95rtd0dHQM+/toNIqenp5R31dJSn1OWqT0Z3Xq1ClcfPHFWLVqFX75y19O6nfJJqU/p7KyMsyePRuf+MQn8NRTT+Hll1/G+++/P6nfKVuU+qzeeOMNbN68GXa7HRaLBTNnzgQAnHfeebjxxhsn/4tlmNLXVLoVK1YgGo3i+PHj4/01ckKpz6qyshIAMG/ePPnv7XY7pk+fjqampkn8Rtmhhmvq0UcfRWlpKT796U+Pe/yGC+psNhuWL1+OTZs2yV+Lx+PYtGkTVq5cOeL3rFy5ctjrAeD111+XX19XVwev1zvsNT6fD1u2bJFfs3LlSvT19WHbtm3ya9544w3E43GsWLEiY79fpij1OWmRkp9VS0sLVq9eLc9+TSb1/pNW0zUlZQ/UmlVR6rP6yU9+gp07d6KhoQENDQ1yW4ann34a3/3udzP6O2aCmq6phoYGmEymM8ps1EKpz2r58uWw2+1obGyUXxOJRHD8+HFMmzYtY79fpih9TYmiiEcffRTr1q2bWM3vuLZV6MRTTz0l2u128bHHHhP37dsnfuELXxDdbrfY1tYmiqIo3nDDDeK3vvUt+fXvvvuuaLFYxB/+8Ifi/v37xbvvvnvE7cput1t8/vnnxV27dolXX331iC1Nli5dKm7ZskV85513xFmzZqm+pYkSn9OJEyfEHTt2iN/+9rfFwsJCcceOHeKOHTtEv9+fu19+nJT4rJqbm8WZM2eKl156qdjc3DxsK7xaKfE5vf/+++KDDz4o7tixQzx+/Li4adMmcdWqVeKMGTPEoaGh3H4A46DUv790x44dU/3uVyU+p/fee0984IEHxIaGBvHIkSPib3/7W7G8vFxct25dbn/5cVLqmvrqV78qTpkyRXzttdfEAwcOiLfccotYUVEh9vT05O6XHwcl/+395S9/EQGI+/fvn9DYDRnUiaIoPvjgg+LUqVNFm80mnn/++eL7778v/91FF10k3njjjcNe/8wzz4izZ88WbTabOH/+fPGll14a9vfxeFz8z//8T9Hj8Yh2u1289NJLxcbGxmGv6e7uFq+77jqxsLBQdDqd4s0336zqQEUUlfmcbrzxRhHAGX/efPPNbP2aGZHrz+rRRx8d8XNS+1wt15/Trl27xIsvvlgsKSkR7Xa7WFtbK952221ic3NzVn/PTFDi3186LQR1opj7z2nbtm3iihUrRJfLJTocDnHu3Lni9773PVVPEiRKXFPhcFi84447xIqKCrGoqEhcs2aNuGfPnqz9jpmg1L+96667Tly1atWExy2IIiuFiYiIiLROvQU4RERERDRmDOqIiIiIdIBBHREREZEOMKgjIiIi0gEGdUREREQ6wKCOiIiISAcY1BERERHpAIM6IiIiIh1gUEdEunLTTTfhmmuuUez9b7jhBnzve98b02s///nP4/7778/yiIjIKHiiBBFphiAIZ/37u+++G1//+tchiiLcbnduBpVm586duOSSS3DixAkUFhae8/V79uzBxz/+cRw7dgwulysHIyQiPWNQR0Sa0dbWJv/3p59+GnfddRcaGxvlrxUWFo4pmMqWW2+9FRaLBQ8//PCYv+cjH/kIbrrpJnz5y1/O4siIyAi4/EpEmuH1euU/LpcLgiAM+1phYeEZy6+rV6/Gv/7rv+JrX/saiouL4fF48L//+78IBoO4+eabUVRUhJkzZ+KVV14Z9l579uzBFVdcgcLCQng8Htxwww3o6uoadWyxWAx/+MMfcNVVVw37+s9+9jPMmjULDocDHo8H//AP/zDs76+66io89dRTk/9wiMjwGNQRke79+te/RllZGbZu3Yp//dd/xZe+9CVce+21WLVqFbZv347LLrsMN9xwAwYGBgAAfX19uOSSS7B06VJ8+OGHePXVV9He3o7Pfvazo77Hrl270N/fj/POO0/+2ocffoivfOUruOeee9DY2IhXX30VH//4x4d93/nnn4+tW7ciFApl55cnIsNgUEdEurd48WLceeedmDVrFjZu3AiHw4GysjKsX78es2bNwl133YXu7m7s2rULAPDTn/4US5cuxfe+9z3U19dj6dKleOSRR/Dmm2/i4MGDI77HiRMnYDabUVFRIX+tqakJBQUF+NSnPoVp06Zh6dKl+MpXvjLs+6qqqhAOh4ctLRMRTQSDOiLSvUWLFsn/3Ww2o7S0FAsXLpS/5vF4AAAdHR0AEhse3nzzTblGr7CwEPX19QCAI0eOjPgeg4ODsNvtwzZzfOITn8C0adMwffp03HDDDXjiiSfkbKAkLy8PAM74OhHReDGoIyLds1qtw/63IAjDviYFYvF4HAAQCARw1VVXoaGhYdifQ4cOnbF8KikrK8PAwADC4bD8taKiImzfvh2/+93vUFlZibvuuguLFy9GX1+f/Jqenh4AQHl5eUZ+VyIyLgZ1RESnWbZsGfbu3Yva2lrMnDlz2J+CgoIRv2fJkiUAgH379g37usViwZo1a3Dfffdh165dOH78ON544w357/fs2YPq6mqUlZVl7fchImNgUEdEdJovf/nL6OnpwXXXXYcPPvgAR44cwWuvvYabb74ZsVhsxO8pLy/HsmXL8M4778hfe/HFF/GTn/wEDQ0NOHHiBB5//HHE43HMmTNHfs3f/vY3XHbZZVn/nYhI/xjUERGdpqqqCu+++y5isRguu+wyLFy4EF/72tfgdrthMo1+27z11lvxxBNPyP/b7Xbj2WefxSWXXIK5c+fi4Ycfxu9+9zvMnz8fADA0NITnnnsO69evz/rvRET6x+bDREQZMjg4iDlz5uDpp5/GypUrz/n6n//85/jjH/+IP//5zzkYHRHpHTN1REQZkpeXh8cff/ysTYrTWa1WPPjgg1keFREZBTN1RERERDrATB0RERGRDjCoIyIiItIBBnVEREREOsCgjoiIiEgHGNQRERER6QCDOiIiIiIdYFBHREREpAMM6oiIiIh0gEEdERERkQ4wqCMiIiLSgf8PUjZ/AnMogtYAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mix.plot()\n", "decorate(xlabel='Time (s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Waves\n", "\n", "A Signal represents a mathematical function defined for all values of time. If you evaluate a signal at a sequence of equally-spaced times, the result is a Wave. `framerate` is the number of samples per second." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wave = mix.make_wave(duration=0.5, start=0, framerate=11025)\n", "wave" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "IPython provides an Audio widget that can play a wave." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Audio\n", "audio = Audio(data=wave.ys, rate=wave.framerate)\n", "audio" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wave also provides `make_audio()`, which does the same thing:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wave.make_audio()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `ys` attribute is a NumPy array that contains the values from the signal. The interval between samples is the inverse of the framerate." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of samples 5512\n", "Timestep in ms 0.09070294784580499\n" ] } ], "source": [ "print('Number of samples', len(wave.ys))\n", "print('Timestep in ms', 1 / wave.framerate * 1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Signal objects that represent periodic signals have a `period` attribute.\n", "\n", "Wave provides `segment`, which creates a new wave. So we can pull out a 3 period segment of this wave." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0022727272727272726" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "period = mix.period\n", "segment = wave.segment(start=0, duration=period*3)\n", "period" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wave provides `plot`" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "segment.plot()\n", "decorate(xlabel='Time (s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`normalize` scales a wave so the range doesn't exceed -1 to 1.\n", "\n", "`apodize` tapers the beginning and end of the wave so it doesn't click when you play it." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wave.normalize()\n", "wave.apodize()\n", "wave.plot()\n", "decorate(xlabel='Time (s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can write a wave to a WAV file." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Writing temp.wav\n" ] } ], "source": [ "wave.write('temp.wav')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`wave.write` writes the wave to a file so it can be used by an exernal player." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Playing WAVE 'temp.wav' : Signed 16 bit Little Endian, Rate 11025 Hz, Mono\n" ] } ], "source": [ "from thinkdsp import play_wave\n", "\n", "play_wave(filename='temp.wav', player='aplay')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`read_wave` reads WAV files. The WAV examples in the book are from freesound.org. In the contributors section of the book, I list and thank the people who uploaded the sounds I use." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "filename = '92002__jcveliz__violin-origional.wav'\n", "\n", "if not os.path.exists(filename):\n", " !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/92002__jcveliz__violin-origional.wav" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "from thinkdsp import read_wave\n", "\n", "wave = read_wave(filename)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wave.make_audio()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I pulled out a segment of this recording where the pitch is constant. When we plot the segment, we can't see the waveform clearly, but we can see the \"envelope\", which tracks the change in amplitude during the segment." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "start = 1.2\n", "duration = 0.6\n", "segment = wave.segment(start, duration)\n", "segment.plot()\n", "decorate(xlabel='Time (s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spectrums\n", "\n", "Wave provides `make_spectrum`, which computes the spectrum of the wave." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "spectrum = segment.make_spectrum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Spectrum provides `plot`" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spectrum.plot()\n", "decorate(xlabel='Frequency (Hz)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The frequency components above 10 kHz are small. We can see the lower frequencies more clearly by providing an upper bound:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spectrum.plot(high=10000)\n", "decorate(xlabel='Frequency (Hz)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Spectrum provides `low_pass`, which applies a low pass filter; that is, it attenuates all frequency components above a cutoff frequency." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "spectrum.low_pass(3000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is a spectrum with fewer components." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spectrum.plot(high=10000)\n", "decorate(xlabel='Frequency (Hz)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can convert the filtered spectrum back to a wave:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "filtered = spectrum.make_wave()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then normalize it to the range -1 to 1." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "filtered.normalize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before playing it back, I'll apodize it (to avoid clicks)." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "filtered.apodize()\n", "filtered.plot()\n", "decorate(xlabel='Time (s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And I'll do the same with the original segment." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "segment.normalize()\n", "segment.apodize()\n", "segment.plot()\n", "decorate(xlabel='Time (s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can listen to the original segment and the filtered version." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "segment.make_audio()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "filtered.make_audio()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The original sounds more complex, with some high-frequency components that sound buzzy.\n", "The filtered version sounds more like a pure tone, with a more muffled quality. The cutoff frequency I chose, 3000 Hz, is similar to the quality of a telephone line, so this example simulates the sound of a violin recording played over a telephone." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interaction\n", "\n", "The following example shows how to use interactive IPython widgets." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from IPython.display import display\n", "\n", "def filter_wave(wave, start, duration, cutoff):\n", " \"\"\"Selects a segment from the wave and filters it.\n", " \n", " Plots the spectrum and displays an Audio widget.\n", " \n", " wave: Wave object\n", " start: time in s\n", " duration: time in s\n", " cutoff: frequency in Hz\n", " \"\"\"\n", " segment = wave.segment(start, duration)\n", " spectrum = segment.make_spectrum()\n", "\n", " spectrum.plot(color='0.7')\n", " spectrum.low_pass(cutoff)\n", " spectrum.plot(color='#045a8d')\n", " decorate(xlabel='Frequency (Hz)')\n", " plt.show()\n", " \n", " audio = spectrum.make_wave().make_audio()\n", " display(audio)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adjust the sliders to control the start and duration of the segment and the cutoff frequency applied to the spectrum." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5f0b5b68c6514e8690fafae8a250fd2d", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=2.0, description='start', max=5.0), FloatSlider(value=2.0, description…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import interact, fixed\n", "\n", "wave = read_wave('92002__jcveliz__violin-origional.wav')\n", "interact(filter_wave, wave=fixed(wave), \n", " start=(0, 5, 0.1), duration=(0, 5, 0.1), cutoff=(0, 10000, 100));" ] }, { "cell_type": "code", "execution_count": null, "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": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 4 }