{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Význam nízkých a vysokých harmonických složek\n", "=================================================\n", "\n", "Obdélníkový časový průběh\n", "----------------------------\n", "\n", "Amplitudy jednotlivých hramonických složek obdélníkového časového průběhu lze vyjádřit vztahem:\n", "\n", "$$U_n = 2U_{max} \\mathrm{DCL}\\cdot \\mathrm{sinc}(n \\pi \\mathrm{DCL})$$\n", "\n", "Kde $\\mathrm{DCL}$ je čnitel plnění a $\\mathrm{sinc}$ je tzv. \n", "[kardinální sinus](https://en.wikipedia.org/wiki/Sinc_function) \n", "$\\mathrm{sinc}(x) = \\frac{\\sin(x)}{x}$.\n", "\n", "Amplitudové spektrum obdélníkového napětí $U_{max}=1 V$, $\\mathrm{DCL}=25%$, $f=1 Hz$, tedy vypadá například takto:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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y1ltvYe3atSnrj4iIiCgRGTuRTOTMo4jL5UJlZeWEy6hdI5mXl4cFCxbEjjJA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\nV1cA0Nzc7PH5PXv2yORfq4v+QP3797//7VPem38jsf4C8U+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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "Um=1\n", "DCL=0.25\n", "f=linspace(0,1000,1001)\n", "U=2.*Um*DCL*sinc(f*DCL)\n", "U[0]=U[0]/2.\n", "\n", "figure(figsize=(10,7))\n", "minorticks_on()\n", "xlabel(r'$\\rightarrow$ \\\\f [Hz]',fontsize=16, x=0.9 )\n", "ylabel(r'U [V] $\\uparrow$',fontsize=16, y=0.9, rotation=0)\n", "title(u\"Amplitudové frekvenční spektrum -- obdélník DCL=25\\%)\")\n", "grid(True, 'major', linewidth=1)\n", "grid(True, 'minor', linewidth=0.5)\n", "# Amplitudové spekturm\n", "stem(f[0:40],abs(U[0:40]),'b-','ro')\n", "# ještě obálková finkce\n", "x=linspace(0,40,1000)\n", "plot(x,abs(2*Um*DCL*sinc(x*DCL)),':k')\n", "grid(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Součet všech harmonických složek\n", "----------------------------------" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UfQ1rOomIiMgtWNNpMkEQ4Pf7lbbX60U6nT5wu7GxMUxPT5s5NGebngZGR4F7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\nWkKyUbyRyAZm3kj0oQ8VC87//M+B//yfDe+eWsh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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "############################################\n", "def soucet(U,titulek,f1=1):\n", " T1=1./f1\n", " t = linspace(0,3*T1,1000)\n", " u = zeros(1000)\n", " for f,A in enumerate(U):\n", " u+=A*cos(2*pi*f*f1*t)\n", " figure(figsize=(10,7))\n", " \n", " subplot(211)\n", " title(titulek) \n", " xlim(0,60)\n", " stem(arange(len(U)),abs(U),'b-','r.')\n", " xlabel(r'f [Hz] $\\rightarrow$ ',fontsize=16, x=0.9 )\n", " ylabel(r'U [V] $\\uparrow$',fontsize=16, y=0.9, rotation=0)\n", " grid(True, 'major', linewidth=1)\n", " grid(True, 'minor', linewidth=0.5)\n", " \n", " \n", " subplot(212)\n", " minorticks_on()\n", " xlabel(r'$\\rightarrow$ \\\\t [s]',fontsize=16, x=0.9 )\n", " ylabel(r'u [V] $\\uparrow$',fontsize=16, y=0.9, rotation=0)\n", "\n", " grid(True, 'major', linewidth=1)\n", " grid(True, 'minor', linewidth=0.5)\n", " plot(t,u,lw=2)\n", " ylim( (-1.1*abs(min(u)) if abs(min(u))>0.1 else -0.2 , 1.1*max(u) ) )\n", "###########################################\n", "soucet(U,u\"Obdélníkové napětí -- DCL=25\\%\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nižší harmonické složky -- základní tvar\n", "----------------------------------------\n", "\n", "Nižší harmonické složky určují **základní tvar**. Pokud zachováme nižší harmonické složky\n", "a odstraníme vyšší harmonické složky\n", "přesto, že tvar nebude přesný bude rozeznatelný.\n", "\n", "Čím méně harmonických složek zahrneme tím bude tvar méně přesný, ale jeho zákldní rysy zůstanou zachovýny.\n", "\n", "Všímněte si teké strmosti hran. **Čím více vyššíh hramonických složek je zachováno, tím jsou hrany strměší.**\n" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AazqJiIjIKVjTSURERESOwUmnJQpWD6DjsAbIfIy5+Rhz8zHm5mPMnYuTTiIi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\nRK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import copy\n", "Q=copy.deepcopy(U)\n", "Q[31:]=0\n", "soucet(Q,u'Obdélníkové napětí -- prvních 30 harmonických složek')" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RGY45nRZgTicRERE5BXM6iYiIiMgxOOi0RNrqBjQd5gCZj31uPva5+djn5mOf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\nmV2eTNLy1evvvpsd5UE6e9JffSX+EZeUdNBbb5lfnkzSaM+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bjzF3LnYqiYiIiKhtHFNpAo6pJCIiIqfgmErSTE0Bo6PAnXcCitLp1hAREZFL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\nGfuXjDofP368IfMWxlTGATNjKl94AbjuOqCiAli9Ou4/R5K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uwgvV6d69QDRqb12IiIjIs9in0gSW9qmUZfia/FDOyIDfX3NdiYiIyNvYp5JU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\nnlu1ahXcbnePx/Lz89Fl468Bx4wBvvwS+PhjYNQoq6Mhs3z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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q=copy.deepcopy(U)\n", "Q[6:]=0\n", "soucet(Q,u'Obdélníkové napětí -- prvních 5 harmonických složek')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vyšší harmonické složky -- rychlé změny\n", "----------------------------------------\n", "\n", "Vyšší harmonické složky představují **rychlé změny**.\n", "Na předchozích obrázcích je patrné, že čím více vyššíh hramonických složek je zachováno, tím jsou hrany strměší.\n", "Pokud odfiltrujeme nižsí harmonické složky a ponecháme pouze vyšší harmonické složky původní tvar už nebude možné \n", "rozeznat, ale zůstanou nám práve **rychlé změny** -- v místě původní strmé hrany se oběvý zákmit.\n" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1PPVsEw6H4XA4sHbtWs0yeCORffFGIvMHhzfk/QYGgKNHZV6jSXdu2+5GItiz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\n5ZxzOh1g5ZzO3/wG+PGPgS9+EXj7beCb3xRzgYhkL78MXHghEAwCIyP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oFVet3jFn1EGYM0pEdnFizqGZ9arVOhmdzonbb1nXyeATppgzagyPjBIRERGV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\nABDPro9Go3j99dfLti32jBb7jeaeBjcTz93f8BgBTU3WytOxk09xGdX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sjDoIx4zaj2OM7MeY248xtx9jbj/GvHqxM0pEREREFcMxow7CMaNERETlwzGj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\nf7Y7px0OA59+msf8fPV5NS+A8omLl+qtbX/mM831AsA77+R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cbgCVqK4HpPPz87YsU85yREREeVmZj9rfD3R1AffcA0hS2U0jKsQapxvgpA0b\nNkDK+LLlGziWskwxyy0tLWF6elr7ZT03N4eWlhatzNfKvKqcbgdf+Vq511De9ynvsfN7V9j6gGpd\nn/K3LetralK2b8SCz+fK6f998AAf+xhCP/vZqu22M16K6Xc3tKNWX7u6uiAIgpYzKknSijPApajr\ni5pSqRT6+vq0C40A5TR6rgFmocs0NDSYLmoqdDle1ERElcCLmqq3TYW+z7LP75574Hn6nyBvui3n\nEVc3XkDkxjbVOl7UZIG2tjZTWRRF0+2aRFEseplS16ViDqn9Mn9VU+Wxz50QcroBdadq49yq0/+O\nnPoP2bQestoapxvgtGg0inA4DJ/Ph4mJCUSjUW3e4OAgvF4vDh48WPAyqVQK4+Pj8Hg8GBwcRCAQ\nQHd3d97liIiIXEEdhJZ7GvbKqX8ZHmVwmueWilTf6vqUfSESiYQ2oLQDT9kTUSXwlH31tqnQ97nu\n8yvw1L+VeMrefjxlT0RERO7FK/+pCByQ5pBKpdDZ2WnrOplDar+qzfOqYuxzJ4ScbkDdqfs4t+rU\nP1DEjf9D5a+LHFH3OaS5ZF6IRERERA7gjf9rHnNIXYY5pERUCVWZg2hxu6q1TYW+z42fn2VtkiR4\nmpsgL0g5j7gyh9R+zCElIiKi+mDl6X9yJQ5IXYY5pPar+zwvB7DPnRByugF1h3HuhJDTDaAScUBK\nRERERI5iDqnLMIeUiCqhWnMQrWxXtbap0Pe58fNzY5vIWswhJSIiIqKawAGpyzCH1H7M87If+9wJ\nIacbUHcY504IOd0AKhEHpERERETkKOaQugxzSImoEqo53485pNX7+bmxTWQt5pASERERUU3ggNRl\nmENqP+Z52Y997oSQ0w2oO4xzJ4ScbgCViANSIiIiInIUc0hdhjmkRFQJ1ZzvxxzS6v383NgmshZz\nSImIiIioJnBA6jLMIbUf87zsxz53QsjpBtQdxrkTQk43gErEASkREREROYo5pC7DHFIiqoRqzvdj\nDmn1fn5ubBNZizmkRERERFQTOCB1GeaQ2o95XvZjnzsh5HQD6g7j3AkhpxtAJeKAlIiIiIgcxRxS\nl2EOKRFVQjXn+zGHtHo/Pze2iazFHFIiIiIiqgkckLoMc0jtxzwv+7HPnRByugF1h3HuhJDTDaAS\n1f2AVBRFhMNhJBIJhMNhpNPpspbJNS8YDKKhoQFerxednZ1IpVIV2SYiIiKialL3OaSdnZ2YnJwE\nAKTTafSMvRSGAAAgAElEQVT19WF0dLSoZe6//34cPnw4b33RaBR9fX0562YOKRFVQjXn+zGHtHo/\nPze2iazFHFILJJNJeL1erdzY2Ih4PF70MolEouT6iIiIiOpdXQ9IRVFEU1OTaZrX68X09HTRy6RS\nqYLqi8ViSCQSGBwczJoewBxS+zHPy37scyeEnG5A3WGcOyHkdAOoRGucboCT5ufnLV1mYWEh57Kd\nnZ1oa2sDoAxUu7u7tdP7RERERPWqro+QbtiwAZIkmablG6SutozH44HX681ZnzoYVf9OJpNYXFw0\nvX9paQnT09MIhUIIhULYsWOH6Ve2Op1l68pGbmhPPZTVaW5pT32UQ3nfr77Hrva5cX2AleuDzeur\n9f4sZH3IOZ/l8suCICAUCqGrqwtdXV0rxj2lquuLmlKpFPr6+kxHKb1eb85Baa5lkskk+vv7C57X\n0NCA5eVlU/28qImIKqGaL0DhRU3V+/m5sU1kLV7UZAHjEUtAyQ8NBAKmcjHLtLe3rzrP7/dj7969\n2rx4PI6enp4V9TOH1H6Zv6qp8tjnTgg53YC6wzh3QsjpBlCJ1jjdAKdFo1GEw2H4fD5MTEwgGo1q\n8wYHB+H1enHw4MGCl1ltXmNjI5qamrTyzMyMaTkiIiKielXXp+wLkUgk0N3dbdv6eMqeiCqhmk+v\n8pR99X5+bmwTWYun7ImIiIioJnBAmkMqlUJnZ6et62QOqf2Y52U/9rkTQk43oO4wzp0QcroBVKK6\nzyHNJfMCJiIiIiKyHnNIXYY5pERUCdWc78cc0ur9/NzYJrIWc0iJiIiIqCZwQOoyzCG1H/O87Mc+\nd0LI6QbUHca5E0JON4BKxAEpERERETmKOaQuwxxSIqqEas73Yw5p9X5+bmwTWYs5pERERERUEzgg\ndRnmkNqPeV72Y587IeR0A+oO49wJIacbQCXigJSIiIiIHMUcUpdhDikRVUI15/sxh7R6Pz83toms\nxRxSIiIiIqoJHJC6DHNI7cc8L/uxz50QcroBdYdx7oSQ0w2gEnFASkRERESOYg6pyzCHlIgqoZrz\n/ZhDWr2fnxvbRNZiDikRERER1QQOSF2GOaT2Y56X/djnTgg53YC6wzh3QsjpBlCJOCAlIiIiIkcx\nh9RlmENKRJVQzfl+zCGt3s/PjW0iazGHlIiIiIhqAgekLsMcUvsxz8t+7HMnhJxuQN1hnDsh5HQD\nqEQckBIRERGRo5hD6jLMISWiSqjmfD/mkFbv5+fGNpG1mENKRERERDWh7gekoigiHA4jkUggHA4j\nnU6XtUyp81TMIbUf87zsxz53QsjpBtQdxrkTQk43gEq0xukGOK23txeTk5MAgM7OTvT19WF0dLSo\nZe6//34cPny46HnZ1rW0tGTdxlFB+CPAfuxzJ8w53YC6wzh3wpzTDag7kiShqamp7Hrq+ghpMpmE\n1+vVyo2NjYjH40Uvk0gkSpqXbV1r164tbWOoZC0tLU43oe6wz53Q4nQD6g7j3AktTjeg7kiSZEk9\ndT0gFUVxxaje6/Vienq66GVSqVRJ83Kti4iIiKge1PWAdH5+3tJlFhYWSppnJJ0+Dbz0ErDaL47+\nfqCrC7jnntXfU+j7rHqP3euzuE3CyEj19YHd62Of278+K9sEABByzCtCweuzkUvblDfO7ebSfrK2\nTYI163Pj99itbXr99dXrKEJd3/YpFovh0KFDeOaZZ7RpXq8XR44cwa233lr0MjMzMyXNM66ryePB\nEoDr1q0DrrkGTU1N5iOr09OAejHUNdcAN92UfeMKeZ9V77F7fRa3SUqn0WTj+tjn7HPb2wTr8rwK\nbpedXNqmvHFuN5f2k5Vtyhvnbvyu272+MtskSZJ+mv711/HG+fPYcMMNOH36dPZ6ClTXA9JUKoW+\nvj7tQiNAGSTmOgqaa5lkMon+/v6i5xm1tbXh7Nmz2LhxoxWbSERERFQxp06dwjXXXINUKlVWPXV9\nlX1bW5upLIoiAoGAqezz+Qpepr29vaR5RuV+oERERETVpq6PkALKADAej8Pn82FiYgIPPvgg1q9f\nD0C5TZPX68XBgwcLXqbUeURERET1qu4HpPkkEgl0d3c73QyyUCAQwPj4uGmaKIqIxWJob2/X0isa\nGxsdaiERVbOenh7t/tMA9y9EhajrU/Zuwh1W5SUSCczMzGj3hjUq5QEJVJhUKoXJyUlIkoSJiQkM\nDQ2htbUVAOO+UpLJJBYWFiBJEsbHxxEMBtnnNonH44jFYqZp3L9URjAYRDgcRlNTE3w+H6LRqJZW\nxzivnMz43rJlCwAL+lymVSWTSVmSJFvW1dHRof0tSZLc09Njy3rrkcfjMZWnpqbkQCBgmtbc3Gxn\nk2qWJElyJBLRyvF4XPb7/VqZcV8Zzc3NcjqdlmVZliORiKmf2eeVI0mSPDU1Zdp/cP9SOcZ9SybG\neWUMDQ3JsVhMlmWlX63ct9T1fUjzaWtrs+UXVSlPjCLr8KEFlTMzM4OhoSGt3NHRAVEUsbi4yLiv\noLm5OS0/vbm5GR6PBwD3NZUWj8ezXsDK/Yu9GOeVIUkSDhw4gPvuuw+A0q/qkX8r+pwDUhfgDstZ\npTwggQrT3t5u2ilNTk6iubkZ69evZ9xXkPFiyUgkov0oYJ9XTiKRyHrnFO5fKisWiyGRSGBwcBDp\nK/fMZJxXxuTkJHw+n9bn4XAYs7OzAKzpc+aQugB3WM7asGHDimfx8jOxjvF53pFIBNFoFAD7uNJm\nZ2cxNjaGzZs348477wTAPq+U2dlZeL3erHdN4f6lcjo7O7WcUa/Xi+7ubkxOTrJ/K0QURSSTSQQC\nAaxfvx6dnZ3o6OjAqVOnLOlzDkhdgDssZ/l8vqz9vdrTuqg00WgU27dv1073MO4rq7W1Fbt370Ys\nFsPmzZvxzDPPwOv1ss8rIJlMYn5+Xjt9KUkSHnnkEXR3d3P/UkHG+4K3tbUhmUxicXGRcV4hPp8P\nPp9P++HV2NgIURQxNzdnSZ9zQOoC3GE5K98DEqh8iUQCfr9fO1IHMO4rRb3Sdffu3QCA7u5u9PT0\nYG5uDn6/n31eAepVxqqBgQHcf//9Wd/L/Ys1sj39EFDSVbhvqYzMBwUB0E7TW7Fv4YDUBTggskcq\nlcL4+Dg8Hg8GBwcRCAS0e8xGo1GEw2HtoQXqaWUqn5rsrsb52NgYtm7dyrivkNnZWfzyl7/UyqIo\norm5GS0tLab0CXUe+9w66XQahw4dgsfjwRe/+EVs2bIFra2t3L9UgN/vx969e7VyPB5HT08PgMKf\njEjF8fl8aGpqQjqdRmNjIyRJgt/vt2zfwhvjuwSf4kS1SBRFbNy40TTN7/fj5MmTABj3lRKLxTA/\nPw+v14vx8XHs3LlTO1LBPqdakUgkIIoiAOWOHnwyYuXNzs7i0KFD2LRpEyYmJrBz505tMFpun3NA\nSkRERESO4m2fiIiIiMhRHJASERERkaM4ICUiIiIiR3FASkRERESO4oCUiIiIKAtRFNHT02O6xZQV\notEodu7ciVgsZmm91YwDUiIiIqo7Y2NjCIfD6O3tRSqVyvoej8eD2267Dfv378fs7CyCwSAaGhrQ\n2dmJL37xiwBgmr5x40Ztei59fX0IBoPabauIN8YnIiKiOiNJEgYHB3Hq1CnEYjHtiUO5tLa2Ymho\nCLFYDNu3b8cDDzxgmp5IJBAIBLTpVBwOSImIiKiuTE5Oao/CzHz0KzmDp+yJiIiIqtjOnTudbkLZ\nOCAlIiKiupFKpTA2NgZRFBEOh5FIJIquI9tDLjOnJZNJdHZ2IhqNIhaLYXh4GF6vt+R255NOpytW\ntx14yp6IiIjqRltbG3p6eiCKInbv3l1SHePj4yumzc7OmsoLCwsYGxvTnvW+ceNGPPLIIyWtL59g\nMIi+vj6Mjo5WpH47cEBKREREdSXbEc5ibN68ecXFS0888YSp7PV6tcHowMAAAoEA7rvvvqLWU+hR\nz+bmZmzbtg2BQACRSAStra1FrccNOCAlIiIislhbWxsAIB6P48iRIzh58mTRdezfvx+SJBX0XlmW\nkUgkEIlEsH///qLX5TQOSImIiKiueDweW9YjSRJ6e3tx5MgRAMppfUmStMFqPgcOHCh4Xb29vUgm\nk7j11ltLaqvTeFETERER1ZVyTtnLsrzqRU2Z03t6evDggw9qg8Tx8fGC7nlarLGxMWzfvr1qB6MA\nB6RERERUR1KpFIaHhzE1NYUvfvGLBedpqk9kmp2dxejoqOlJTcPDw0ilUojFYtr0sbExJJNJ+Hw+\n7Sr7vXv3ViS/c3R0tOj8VLfxyOVm9hIRERHVoNnZWYyNjZV8Nb5ddadSqYLTANyKR0iJiIiIqli1\nD0YBDkiJiIiIbMcT1GYckBIRERGtYmJiArt27bK0zmg0iuHhYfj9fkvrrWbMIXWZtrY2nD17Fhs3\nbnS6KUREREQ5nTp1Ctdccw1SqVRZ9fAIqcucOHECb731liV1nT592lX1WFmXlW06fvy4ZXW5cfvc\n2Cb2ub31AOxzu+sB2Od21wOwz+2uB1DutXr27NnyK5LJVRobG+U77rjDkro+85nPuKoeK+uysk1W\n9bcsu3P73Ngm9rm99cgy+9zuemSZfW53PbLMPre7HlmW5RtvvNGSfr8qFAqFyh/WklUOHjyIpqYm\n7Nixo+y6mpqatOfouqEeK+uysk1zc3Po6uqypC43bp8b28Q+t7cegH1udz0A+9zuegD2ud31AMDI\nyIgl4xaesq9hVn0prarHyrqsbJOV3Lh9bmyTldy4fW5sk5XcuH1ubJOV3Lh9bmyTldy4fW5sk1U4\nIHWZpaUly+oSBMFV9VhZl5Vtmpubs6wuN26fG9vEPre3HoB9bnc9APvc7noA9rnd9QCw7FGoHJC6\nzNq1a51uQt2x6rQFFY59bj/2uf3Y5/Zjn9vPqgEpb/vkMuphdCt/vRARERFVglXjFh4hrRNvvgl8\n85vAxYtOt4SqyZNPAq+95nQrCsc4p1IwzqkeuD3OOSDNQRRFhMNhJBIJhMNhpNPpgpcNBAIrpgWD\nQTQ0NMDr9aKzszPrTWRffPFFHD9+XPulIQiC6VdHMWX1b0EQcNttwCc/CezZU3x9IyMjJa0/W3lk\nZKSs5Y3bZEV7BEEwXRlYi9tX6uf3gx8A994r4IYbzG2xYvvUm3tYvX233CLgk58U8Mgjxddn5fZZ\n9flZFU8AEAqFanr7Sv38Hn5YwL33AjfcUN73JVt5x44dFdk+7s9XL3N/nr1cif35yMgIduzYAUmS\nYImybxxVwzo6OrS/JUmSe3p68i4Tj8flQ4cOyR6PZ8W8SCSSd3mr7ucly7J89OhRWZZl+eJFWQaU\nf7t2lV6PlW1ySz2yLMv79u2zrC43bl+pdT3+uB43v/iF+/uccZ4b4zw7xnn5bXJLPbLMOF9NJeP8\njjvusGTcwhzSVSSTSQwODuKZZ57Rpnm9XszPzxe0fENDA5aXl03TotEo+vr6ci5XiRzSU6eA3/ot\n5e+//mvgz//csqqphn3728Af/qHy99NPA5/4hLPtyYdxTqVgnFM9qGScuz6HVBRF9PT0YO/evUUv\nG41GsXPnTsRisQq0rDCiKK64cszr9WJ6erqsemOxGBKJBAYHB4tKASjHhQv635cv27JKqgHGWKmG\nXDXGOZWCcU71oBrivGIDUo/Hg9tuuw379+/H2NgYOjs70dDQgF27dq0YiEUiETQ0NODuu+9GKpVC\nX18fgsEgRFEsaF3Dw8OWt7/QI6HF6OzsxJYtW9Dd3Y1t27ahu7t7xXsqcQ81YyBeulR6PVawqi4r\n22Tlw8rcuH2l1mWMlcuX3d/njPPcGOfZMc5L58Y4YJxnV8k4t8oaO1aydetWBAIBNDc3o6enB42N\njab5/f39EEURBw4cKKn+SCSC5ubmvKfDi7Fhw4YVibrlDlLb2tpMfyeTSSwuLmL9+vXa9HPnzkGS\nJO1LNTc3h5aWFq1cyuvrrwOAUh4fD2FpqbjljY9iK6cdAPDoo49CEISy67GqPeqFHqpa3L5SPz/l\nPz6lfOlS+e0wvqqs3D5lh6tMv3zZ2vY69flZFU/cvtVff/pTQI2bxx4LYd066/Z36rZZ2V7uz3O/\ncn+e/dXK/XlXV5fpAidJkqy5F2nZWairEEVRHh4eNk0LBAJZLwxaWFiQx8bG8i6fzZ49e+RAICD3\n9vbKoiiW12iDZDJpuqhJlmW5ubm54OUzL2qamppaUV+2C5+sSg42+ud/1pOZQyFLq6Ya9o1v6HHz\n+ONOtyY/xjmVgnFO9aCScW7VuKWgU/aZRwpLvcQ/GAxibGxsxSn7w4cPY8uWLUXVFY/H0dvbi82b\nN8Pn8yESiWBoaMiy3Ezj0UxAySk13sqp0HQCld/vN+XTxuNx9PT0lNfIAhlP8TDniApVbXFTbe0l\nd6i2uKm29pI7VEPc5ByQJhIJdHR04K677gIApNNp9PT0wOv1YnFxseiVdXd3o6mpCZFIxDS9lAGu\nx+PB6OioKQ/z4MGDGBgYsCz/MxqNIhwOIxaLIRKJIBqNavMGBwexc+fOFcukUikMDw/D4/FgcHAQ\niUQCANDY2IimpiZEo1FEo1HE43FTfapK5JAac0eYc7SSehrCCm7cPityji5dcn+fM85zY5xnxzgv\nnRvjgHGeXSXj3Cprcs3s7u7Ggw8+iP379wNQBlWHDx9GQ0Pp10L19/fj0KFD2L17NwBl0KsOeIuR\n7YIgAGhtbS25bZna2tq0I6WZR3BHR0e1wWa2Zfbs2bNiXnd396rtrqTVfhktLgLvfS/wrnfZ3iRy\noeVlIJ0GmpuVcjX8ojZinFMhGOdUD6oxzvOOLDMvQCrXwMAARFHUbp+UTCZXnB6vZ2vWrLHsSU1q\n4vHUlD5/dlaZn04DjY2A35+/PqNy2pOtzlLrM973rNz61Lpqdfsy27ba+++7D/B6BTz6qFJWflEL\nAARcurQykb2c9qlHMazcvsz2AsBTTwlobBTwoQ/lr8/K7bPq88vcxnLqUy/4qNXtK/Tz+73fE+D1\nAj/7mVI+dkyf/7OfrWxbOe1T22Tl9nF/nrvM/blStmN/bvuTmsbHx7NejJNOp3Mul+uipEAgIA8M\nDMiSJK369KJCL2qSZVmry07JZLIi66zERU3f+56ezPzf/psy7cgRfRqRLOvxEAwq5S9/WZ/21a86\n27ZCMM6pEIxzqgd2xrmtFzVZbWBgAJFIBKOjo+jt7XWiCWVra2uz/OgxYN99SIs5ZJ/5q8yKNrml\nHoA5R5nUmybXwv0ZGec6xrkZ49y6NrmlHoBxnsmOOLdK3gGpz+czHY5NJpMAALmMJ46q+ZjJZLIi\ngzoyy5YE79YcEnJeth1YKRdP2I1xTsVgnFM9qKY4L2hAunXrVkSjUcRiMSwsLKCpqans2yvt2bMH\nAwMDJS9fqyqRQ/rCC/r806eV+foOjDlHzDkyvkfA3JxSVmJEAKDEi9tzSDPbCwCplHBlWv76mENa\n3dtX6OenxsOFC0r55El9/okTK9tWTvsqkUPK/XnuMvfnxvdUdn9uew5pqYrJAS13eSdySCulEjmk\no6N67siOHcq0f/xHfdrly5aujqqUGg+f/axS/l//S5+2f7+zbSsE45wKwTinemBnnFd1DimtrtL3\nIVV/Sb/zjj7twoXC6rGyTW6pB2DOUSb1FE9mrprb+5xxnhvj3Ixxbl2b3FIPwDjPZEecW8W1A1K5\niBxVS56hWsOyJcH/6lf6tPPn7W0PuZv6H1q2//jcjHFOxWCcUz2opjiv6IB0YmICu3btKnq5aDSK\n4eFh+P3+gt5/4MCBmrk4qqWlxbK61LyVbIFYzA7MmJNjVZvcUg9g7S9qN25fsXWt9ova7X3OOM+N\ncW7GOLeuTW6pB2CcZ7Ijzq2S80lN5WhtbcXo6GhJy/b19aGvr8/iFlWH06dP46233tISodXD6sak\n6GLLx44BgFI+c0aAIABvv911ZY1Kube39PpZrp0yIODMGQDoMtxIGbh82R3ty1XWk/aBS5eU+S+9\nJFzZri6cP++u9rLsXBno0i5qEkWlDACiqOwPnW5frjL35ywXWq70/nxkZATT09OQJMmaM9VlZ6GS\npW688UbLLmo6evSoLMuyfPCgnsz8h3+ozPuf/1OfdvJkYfVY2Sa31CPLsrxv3z7L6nLj9hValxoP\nmzcr5f/+3/Vpu3e7v88Z57kxzhWM86OWt8kt9cgy41xlZ5zzoiYqWL6co3xJ8FRfVruRstsxzqkY\njHOqB9UU5xyQugxzSO2tB2DOUSbm1lnXJrfUAzDOMzHOrWuTW+oBGOeZqimHlAPSOpDtCQ28KpNW\nk+2qTLc+2cOIcU7FYJxTPaimOOeANAdRFBEOh5FIJBAOh4t6MlUgECipvhdffNGyJzWpfxufPnLu\nnDJN34EJ+MlPctc3MjJS0vqzlUdGRspaXi1b0T9qeceOHTW9fYV8fvpd1gTMzyvzM5/skdm2ctpn\n5ZOa1O3L9qQm5SklyvvVi5pWq8/K7bPq87MqngBrn9Tkxu0r5PM7elSAGg8XLyrzT5/W57/6qrX7\nux07dli+fdyf5y5zf27f/rxqntRUCzo6OrS/JUmSe3p68i4Tj8flQ4cOyR6Pp6T6KnFR0xe+oCcz\nf/zjyrx779Wnff/7hdVjZZvcUo8sMwlelmX54kU9Hm65RZm2Y4c+7XOfc3+fM85zY5wzzo31WNkm\nt9Qjy4xzWbY/zq26qIkD0lVMTU3JgUDANK25ubng5TMHpIXWV4lHhxofGXb77cq03/99fdq3v23p\n6qgKvfOOHg8f/KAy7T/9p5WPKHQzxjnlwzinemB3nPMq+woTRXHFfbW8Xi+mp6ddUV8xsuWOGBOc\nmXNEauI7oMdGNeQcGTHOKR/GOdWDao1zDkhXMT8/70h9lX6WfSk7MGPOiFVtcks9AJ99DBS2A3N7\nnzPOc2OcM86N9VjZJrfUAzDOAfvj3CoVe1JTtduwYcOKRN1yBqmF1nfu3DlIkqR9qebm5tDS0qKV\nS3l99lkAUMo//3kIoRBw+XLoyhpDGB0FPvWp1Zefm5vTbhFRTjsA4NFHH4UgCGXXY1V71As9VLW4\nfYV8fn/6pyG1B/DLXyqvyo5Mma7GixXtMbJy+7K19+RJfbvOn7eu/XZ9flbFE7dPed2/X3lV4zsU\nCuGnP1XKAPDiiyE8+qh1+zt126zcDu7Pc79yf175/XlXV5fpAic+qanCksmk6SIkWS4vh7TQ+iqR\nQ/rAA3ruyM03K9PuvFOf9rd/a+nqqAqdPq3Hw2/+pjLtD/5An/ZHf+Rs+wrBOKd8GOdUD+yOc+aQ\nVlhbW5upLIqi6VZOovIAZMvqqyTj6Rz1b+YckVG2UzzZ4sbNGOeUD+Oc6kG1xjkHpDlEo1GEw2HE\nYjFEIhFEo1Ft3uDgIHbu3LlimVQqheHhYXg8HgwODiKRSBRUn8qJHNJ8Cc7MOSqcG7evkLqyPf2l\n1nLrGOchy+py4/YxzrFifq56rGyTW+oBGOeA/XFulTVON8DN2tratCObW7ZsMc0bHR01DTYzl9mz\nZ09R9VVSvl/Ubr3ijuxTrb+ojRjnlA/jnOpBtcY5B6Qus2bNGu1JTWriMKAnRRdTVpd/5RUAUOa/\n9ZYAQQCWl7uurFHAyZP6/NXqU5XTHmMdpS5fiXJm22pt+4xWm+/1qu0XsLQEAF1X/mNT5l+6pMeT\nFe1Rj2JYuX2Z7QUASVLnd5mOCuT6vljRHqvK6jQr6jNe8FGL21fI5/f888KVtXZpT6s5d04pA8DZ\ns+p8vW3lbJ/aJiu3j/tz7s/zbZ9d+/ORkRFMT0/zoianJZNJWZIky+utxEVNn/2snsx8/fXKtM5O\nfVooZOnqqApNTenxsH69Mu3jH9enWRySFcE4p3wY51QP7I5zXtTksLa2NjQ2NlpebyVySLOdzmHO\nkY45R/nvW6ceTbJKJfqccZ4b45xxbqzHyja5pR6AcQ7YH+dW4YC0DmRLcGbOERnlyzmqhhhhnFM+\njHOqB1Ub5+UfrCUrVeKU/fbt+qH6xkZl2i236NMeeMDS1VEVOnpUj4d3vUuZ1t6uT9u0ydHmFYRx\nTvkwzqke2B3nVo1beFGTy5w+fRpvvfWWlkhtRRL0mTOAmuR+4YKSBH/5cteVNQpQsgRKr5/l6i9f\nvKiUAeHKr2f1yUfKfPUiIbe0N1vZmLSvxvfionBlu/Jf1MRy7ZcnJ5WyGt+CICCdVsoAsLCg7B/d\n0t5sZe7PWc5Xtmt/zouaatyNN95o2RHSo0ePyrIsy/feq/8yWrtWmfeBD+jT/ut/LaweK9vklnpk\nWZb37dtnWV1u3L5C6nrqKT0eAFleXlaeAqOWP/Qh9/c54zw3xjnj3FiPlW1ySz2yzDiXZfvjnBc1\nUcF43zrKJzMGlper4751RoxzyodxTvWgWuPcI8uy7HQjSJd5aNwK99wDPP208vdVVynB2toKqBf0\n338/kOWhUVRHYjFg61a9vLQE/M7vACdOKOUPfAD4l39xpm2FYpxTPoxzqgd2x7lV4xbmkLpMJXJI\njTd+vnxZyTky3kj51Vf1+W7JgWHZ3rIx5whQctKWl/WyGi9uaW+2crb2/upXwpXt6sLFi+5qL8v2\nl194QSmr+7ujRwW8/bZefvttZf/olvZmK3N/znK+sl37c+aQ1rhK5JDeddfKfJIbbtDLn/pUYfVY\n2Sa31CPLzDmSZVn+xjfMMbK4KMutrXq5tdX9fc44z41xzjg31mNlm9xSjywzzmXZ/jhnDikVLDNf\nJDOfhDlHZLxvHaDEh/KLWi+7HeOc8mGcUz2o1jhnDqnLZB4at6ZO4Nln9fKFC8ANNwBnzyrlLVuA\nsTHLVkdVKBIBBgb08rlzQFsbrpz+A97/fv1vt2KcUz6Mc6oHdse5VeMWHiGtA5m/hjJ/LfEXNWX7\nRV0NV2UaMc4pH8Y51YNqjXMOSHMQRRHhcBiJRALhcBhp5Q7KJS8TDAbR0NAAr9eLzs5OpFKpFcu/\n+PRTY4UAACAASURBVOKLOH78uPZLQxAE06+OYsrq3/Pz+nxAmaYHpIA33shd38jISEnrz1YeGRkp\na3m1bEX/qOUdO3bU9PYV8vnp/4kJAATDf3J6ObNt5bRPfd60ldun3/hZmb+8DJw/r5fVG+OvVp+V\n22fV52dVPAHKM75refsK+fyOHxegxgMA/PCHApaW9PI771i7v9uxY4fl28f9ee4y9+f27c9HRkaw\nY8cOSJIES5SdhVrDOjo6tL8lSZJ7enrKWiYSieRd3oqLmn7yE1n+9Kdl+VvfOirLsizfdps5wfnN\nN2X5fe/Ty3ffnbs+JsEXzo3bV0hd4bA5Rl59VZavvVYvb9ig1LO0JMuf+5wsf+c75bXJij5nnBeH\ncc44l2XGeTHcuH1ujHOrLmrigHQVU1NTciAQME1rbm4ua5lCBqRWfLAejxJ027cr5c5Oc3BKkiyv\nW6eXu7vLWh3VgC98wRwjc3PKTkstq2H8la/o05zGOKdiMc6pHtgd57zKvsJEUVxxXy2v14vp6emy\nlonFYkgkEhgcHCwoBaAU6mVqL72kvGa7KpM5R2SUGQOrXZUpiva1KR/GORWLcU71oBrjHGAO6arm\n5+ctX6azsxNbtmxBd3c3tm3bhu7u7hXvmVMft2GBc+cEAOXfJsSYM1Iuq+qysk1qPqMV3Lh9hdRV\nyG1CBEHAW29Z0yYr+5xxXhjGOeMcYJwXw43b58Y4twqf1LSKDRs2rEjUzTfgzLdMW1ub6e9kMonF\nxUWsX79em37u3DlIkqR9qebm5tDS0qKVC30FQlhaUsqvv66U1elDQ8Dly3pZGQOvXt/c3Jx2W4di\n25H5+uijj0IQhLLrsao96oUeqlrcvkI+v4sXQ2oPAFDiQ9mBKeXlZeX1xz82v6/UdqnK3T4gBEma\nA9Blai+gtP/SJb186ZI1/VnIq9u+L9w+5fXoUeVVjZOHHw7hnXf08vnzITz66JzhSTchhEKlr0/d\ntnLbDXB/Xugr9+eV3593dXWZLnDik5oqLJlMmi5QkuX8OaS5lpmamloxz+PxrKjDilwMNSfkve9V\nyh/8oDmf5MwZczmjWVSHHnjAHBM//ak5L+3d71be94lP6NPeecfZNjPOqViMc6oHdsc5c0grzHg0\nE1DyQwOBgKlczDJ+vx979+7V5sXjcfT09FjZ5BXOn1deM0/xZB7OZ84RFfpkjzfe0KdZdaePcjHO\nqVCMc6oH1RrnHJDmEI1GEQ6HEYvFEIlEEI1GtXmDg4PYuXNnwcs0NjaiqakJ0WgU0WgU8XjcVJ+q\n3BzSCxf0vxsaBADmQARW7rCYcxSyrC43bp8VOUfLy0o96n+KQHk7sHL7nHFePMY54xxgnBfDjdvn\nxji3yhqnG+BmbW1t2lHPLVu2mOaNjo4ikUgUtUx3d3fWC5msZAyqS5eUg/H8RU35ZLsq0xg36okd\n43+QCwv2tC0bxjmVgnFO9aDa4lzFAanLrFmzRntSk5o4DKx8Vuxq5e9/X7hSUxeALhw5IuDtt9Uy\nAAh47jlz+c039fJq9auKbU9mWZ1W6vKVKGe2rda2z2i1+fpFHEr58mX1IiF1+S58/ONdWFzUywsL\npbdHPYpR6vLXX5/ZXuOTmpT2KTtbvaw+qWm1+kv5vlW6rE6zoj7jBR+1uH2FfH6vvCJcWatSnphQ\nn3KktkfA8rLxP2oBzz4LfPSjpbVPbVOp28f9efHlzLbV2vYZrTbfrv35yMgIpqeneVGT05LJpCxJ\nkuX1lpscPDFhTmZ++21ZvuEG5e93vUt5TSbN77nxRnMdy8uynErJ8qVLZW0KudDysiy/8IIsX7hg\nnv7pT5tj4rnn9L/VuFlakuXrrtOnf/ObzmyDLDPOKTfGuY5xXrvcEue8qMlhbW1taGxstLzecnNI\nzfcVE3Dhgp478q53Ka/5TvF8+9tAWxvw2c9eqSXjV1k5rKrLyjbVU87R0BDw4Q8DX/mK+T2ZMaDG\niMcDXHWVXo/xFE8597Art88Z58VjnDPOAcZ5Mdy4fW6Mc6twQFpjlNM1ugsX9NyRQndgX/+6/mpM\neqbqp97oIXOfnRkT6o7qqquAhit7CfOpzJWxZifGOeXCONcxzmtXrcS5igNSl2lpaSlrefOvnK6c\nOzA1MDN3YNdeq/8tiuZ8mtVkfgFWU0hddtYDWPuL2ontu3hRf7xgrrqMO5/29pV1GKnvbWjQf1Hf\nfnuXS48cMc4LwThnnDPOi8M4txcHpC5z+vRp7aImQDmsbjxEr5ZPnABaWoA/+zPz/KkpAXriMvCD\nHwg4f14pKzswAZOTSvk971HKS0vm+n/605Xry1X+z/9ZQGMj8LOfFfZ+lq0r/8M/CLj2WgGf+Uz+\n9yu/gAUAgnZFpTpf/09Mma/v0ATIsrL85cvAhQsC1Ph66y1z/d/9LuD1Cnj4Yeu27xvfEHDddQK+\n+lXzfH3nqbTn/HloSfvLy8ryyjYIWLNGKasXNan1K0+8UZZXjw7kas9f/iXwa78m4NFHrds+lgsr\n/+IXwPvfD9x9d/73f+97evnVV83z33hDgBq/AJBKKWX9P2oBzz4rmC5qOnbMXP/+/QKuuw74wQ+s\n2z7uz1kGqm9/PjIygh07dqx4QmXJys5CJUvdeOONBSUHt7frychGf/VXxmTmo/KxY7K8fr1S/rf/\nVnn97neV16Ym5fXqq811/Pt/r9cRj8vy0aNH5fl5Wf7852X5pZdWtkV9b3d3/u07evRo/jcVwKp6\nZFmW9+3bZ1lddm/fgQPZ40CWlSe47Noly48/rtQ1O6u/99prze8NBJTpDQ3K6xNP6LHh9Sp/Hz58\n1JQo/6d/aq6jpWX1tmQqtM8Z59bUI8uMc1lmnDPOi8M4LyzOeVFTnUsms0/PPOye7RSP+uvp3e82\nl1XGpzeoR44++UklcfrTn169Tf/6r/nbTdaamdH/Np5+AYAHHwT+9m+B/n6lbMwROnvW/Lmrv6CV\noyzm04DqKZ7M+jNjzXhq0Kp7ITLOCWCcqxjnta3W4zwfDkhdptgc0jUZd5LNlnO02lWZarAag02W\n1VOZijffVHJWvv99pfzCC+b1GW+2m+3GuktLwDe+Afzyl1daxJyjout55x3ga1/L/iSNf/kX/e/X\nXjPPe/VV5fXNN7vw9tvmHZgsA+fO6WU1BtauVV6z7cA+/GG9TcDKHZgx70n9vFdTbJ8zzsvHOGec\nM86LwzhX5Itzq3BAWoV+9Sv970uXzFdOFvKLWg1O9Rf15ct68L35pvKFUb35pvmRY//m35jrN/76\nVm7YbPYHfwD8yZ8ot6eg0vyf/wPs2AF84AMrk92NOyF1h6UyJra/8cbKqyiN/1Gp7822A1MvljDG\nBbAy1oz1nT2bdVOKwjivL4xzxnk9qNc4LwQHpC7z4osvahc1TU4Cd9wh4JvfFLT5giDgO98RDEsI\n+Md/1MunTgnQk+AF/PM/C7h0SSmrSfAvvqiUr7oKuOoq5f3qTu7b3zYuD7zwgoDh4RGt/MYbAsbH\n9flPPqm/f2kJ+N739KTnixdx5b0Cvvtd5f0jIyMlJ33v3Qv88R8LpmlWJJXv2LGjrOUzk7zV8pe/\nDNxzj4BEovj6jNv33e8qf589Czz+uPn9Z84IUPv/1VfN9Sm3tBUAjCCdNifBA8oOR32/usNSEt71\nizqWlwVcvKi8//nnBdPyb76pL68fiVHmqzswdf7CgnJ68MABpWx8UtOhQwK2blXaa2y/Uoe+vjfe\n0OfrO2Nl+/T/qPWLOtQnNZ0/L2hHno4cUZbX/+NV6n/zTeDpp/Xt+8UvlIGBur7Tp/X3Ly0J2iBC\nEATE4wLGx5XyE0+UH5+f+pSAwUGlXM73JbOsPqnJivqM2/f5zwv43OdWXjRWSH3G7UulACV2BMzO\nmt+vH6ERDE8vUuYfPy5o8xIJAT/+sT4fEPDMM3p5fl4AIGj/Uf/sZ0pZ2Rcq7//a10ZMy58+rS9/\n9KiA117Ty+Pj5u35zncEBAICnnpKKe/YsUObz/25ucz9efXvz/v7eVFTTTNe1NTWpiQU+/3m92Q+\nvePHP9bn3XuvOQn+e9/Tyx/5iPL6yCPK6wc/KMtr1yp/v/OOsvwPfmCu+y/+QpafeMKc/HzypL6+\np54yv/+VV/R5r7yiT//wh5Vp+ZK7n31Wln/0I+UJFEZzc3pdr75aXrL54qIs/8M/yPLFi0rZmAS/\nvCzL//RPsvz666XVrbbr4kW9vU8/vfJ9L72kTL98OXc9sizLn/ucXpcg6O9ZXpblNWv0eV/+sj7v\n4kVZvuoqPQ6OHpXl//2/zZ/V3/+9/v7f+R1l2m//tvL6pS/pyfJqcvvwsDkOPvQhfflz58x1P/GE\neXs++UlzgryxzxnnOsY545xxXhzGufNxzouaapQxh1Q9SjAzY87tyTx8bvxxsriovL773QDQZTr9\nox4lMh6+V6epOSfGw/RqfTfd1GWaZnyYVDptfr/xlMPPf67//corymuunJxkErjjDuCjHwWef948\nLx7X//7Rj8rL7dm/H/ijPwI+9zmlbMw5GhoC7rkH+PznS6tbbdeLL+rTfvhD83tOnwY+9CHgP/wH\nIBbLXQ8A/OIX+nRjn775pjlfzPhZnD5tjJkupNN6bKgKPcWj5hz9u3+ntEnNVTPWl5lvlhmjas4a\noJwyNPY541zHOFcwzs3rZpyvjnGucDLOrcIBqUudP2/O6TDm9mQGhzGQ1B3I9dcrr2qeSLar6666\nauUOTF2PGqRvvrky+TrXDsyY/Gz8si0s5H8ShDHB/ic/Mc+bmtL/nphY2Z7rrgM+9rHsieKZHnlE\nef3611deaag++eLw4fz1XL4M3Hsv0NgI/PjH5nnGNk5OmucZtyXzooJsVtuBZSaaGz+LzCfQSpLe\n/+pna4ypzB1Ytid7qLH0G7+hvBr/s8rcORpjVJbN+WiiqP/NODfPY5wrGOfmdTPOV8c4V17dEOfl\n4oA0B1EUEQ6HkUgkEA6Hkc78tha5TCH1qTmkjz+u3txWACBogSsIK3OkJib0spLvJOD971fmqTd+\n1gNRz7m66ipAzTFRA/hHP1LKv/VbapsFfP3r5pyqZ5/V16fWr/rhD/WcF6XN+vzXXjPn5Pzf/wvc\nfrtwJW9JDWzl/ceO6dsrCILhi6vcCNqYk/NXf6XkBD7/PPDlL+s5MOPjwLe+Zc7ROXpUwDvv6OXR\nUT3nSM05VNs7P2/O4VlcBL7wBQFHjijll15Scq4WFwU8/rhSn7p9+i1TBJw4oa/PmEMEKP0tCMqN\n3T/1KWDnzpU5R//6r/r7f/ITfZ6yA9Pbm07r7dV3YAIyc46uv155/+nT+vvV/8CUvtHLFy7oN+JW\nP+v3vEfAu9+t7JTUHDN9B6a8x5hz9J3vCIYjOwJGR/UcUiXO9e379rf17cvMIV1c1Nur1v++9ynb\np+5cPR7l8wD0G+P/6ld6DmlmPCl9oeSQ/r//p65LWd6Y06p/VZX56n8emTljgJIDaPz8/sf/EPD7\nv6/s8AVBwNGj+vsTCfPyL7ygr/+VV8zflyefVHL+nn9eQCKhvP/oUQFf/KKgHR0x5oCp2w8o8ajm\nkBpzBgHhSp6hvvxTTwn4zneU/6AFQcDf/72AJ59U+j8cNsfnD36gt/fnPzf3h/IdVuar/2mNjwu4\n6y4B4bBSNm6f8h+18n7j/s6YAwoIePllvazcBF/Q5k1OClfyQnFlH6buAxVvvaW8X/1PXM3RNN4Y\n/8knlf3dr/86sGaNgLff1nOGjdsLANPT+vbOz+PKd0Upv/yynkM6MwPuz8H9ee3tz0cwMMAcUlt0\ndHRof0uSJPf09BS9zNatW4uqT80h/f73zTkc3/qW/p5g0Dzvr/9amW7MQdm2Tck1+Zu/Ucpr18ry\nnXcqf+/fr7x2dsryddcpf7/2mlLHRz+qlPv6lNdPfEKW/+IvzLkmn/qU3pa9e81t+epXV2/nc88p\nuTRvvCHLx47p03fuVN7/x3+sT/voRzP7VZ/3u79rzskx5rN84QvKtK9+VSl/7GPmek6fNrfpqaf0\nnKPjx83zjPk9sizLf/InyvQ//3OlrN5sWM3nkmW9Xep7AeWG1Uaf/vTK5b7yFX3aT36i5Hmprr5a\nn2cIJ1M+GSDLvb36vH37zLlnf/mXsvxf/ov5s732Wj2364YblGmbN+u5ZoAs33ijLN98s/L3n/3Z\nUa1P1ffPzSnLP/mkuS3G0J6eNs/7m7/R+5xxbo4NxjnjnHHOOK+2OGcOaYUlk0l4vV6t3NjYiLgx\n8aXAZRJXDmUUWp+aQ2o8lJ9ZVn+tqLfsUH/NSJLyK/x97wPWrweArqyneFbLOdq/X8nnAYC771Ze\n33kHuP76LgDALbco05SrYRXqkSNlfauf4gGUI0Qf+UgXOjqAm27Sp3/ve8qr8dD/sWNKuKv0q5yV\neo05OcbTQSdOKK/79yuvzz1nPqWi5j6pTp3Sc45OnTLPM9524403lFNCAPClLyn9pa4LUPrk/Hm9\nXcZtlyTzKQ71aAGg55U9+aQ+7SMfAT772S78/OfKcsZls53ied/7lFfjaRb1M1I+sy5Ikn6KZtMm\nwOtVjkj19CjTMu9lmO0Uz2/+Zpf2nmuuUaapsajGwXXXmadntlktq33OOGecM86VV8a5gnGuvFZT\nnFuFA9JViKKIpqYm0zSv14vp6emil0mlUkXXZ/zCZpbV4Ni4UXlVA1edfu21+j3p1KA1BqIarJk5\nR+qO5PrrceUUkXKPPDU4AwHg6quVL+DXvqZMU+f5fMprth2YGtS//CXw2GMrt+3VV5X1nzmjT0un\n9fLFi+a8m9de03duZ8+ad3wnTig7EmNd//E/6u3NXPfJk9n/Nr73qaeA3/s987zZWfMO7MIFc/5Q\n5k2N1b5YXlZO5al+8Qtl+zLzcN5+G/jqV1fml/3/9s49PK6q3P/fSdKWXtNMaIEWSNsUqCKX0KCI\n+GMgBA7eEEopnOcoUSlUzkWOR2yKl27UA0cimiM+2mZAKh59tDTCUY+CzdhdFJBeJiHUWqCdpJBS\nkJJOA72X7t8fb9asvSczyVz2zOyZfD/PM8/ea6+9137X2t9Z+7LetVaiCkyVvboWzz4L/PrXsn7t\ntTpONTtOnAhceaXeF0g+uLb9xqe0NHasnsVD2ac0WFvr3A4Mr2XqnDqnzmVJnVPnQHHrPFv4QJqE\n/v5+V4/Zm2jaiwT0DjqLqIt84YVwhAEtDiUWJVz1J582TVVgJg4dkm2pVGDqD/nMM8D48bJ+8CCw\nZYsJAKiu1m/ad9whcalUYOedp+Mee0zSCgSkR+Kpp4qv2qu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fr/+E8XGA/Fl7evQ0bwDw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