diff --git a/algorithms/qaoa/maxcut/qaoa_maxcut.ipynb b/algorithms/qaoa/maxcut/qaoa_maxcut.ipynb index ef2e9198e..c1dd57c44 100644 --- a/algorithms/qaoa/maxcut/qaoa_maxcut.ipynb +++ b/algorithms/qaoa/maxcut/qaoa_maxcut.ipynb @@ -207,7 +207,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -451,7 +451,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Opening: https://platform.classiq.io/circuit/2uGgtScGxWQ42Bqc0MHJMdWTuaR?version=0.70.0\n" + "Quantum program link: https://platform.classiq.io/circuit/2wBBKxU0PaSKonsrwGelBgeife5?login=True&version=0.76.0\n" ] } ], @@ -461,7 +461,9 @@ "NUM_SHOTS = 1000 # Per parameters set\n", "\n", "qmod = create_model(\n", - " main, execution_preferences=ExecutionPreferences(num_shots=NUM_SHOTS)\n", + " main,\n", + " execution_preferences=ExecutionPreferences(num_shots=NUM_SHOTS),\n", + " out_file=\"qaoa_maxcut\",\n", ")\n", "qprog = synthesize(qmod)\n", "\n", @@ -537,14 +539,14 @@ "name": "stderr", "output_type": "stream", "text": [ - "Optimization Progress: 61it [01:07, 1.11s/it] \n" + "Optimization Progress: 61it [01:03, 1.05s/it] \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "Optimized parameters: [1.2172842944772573, -0.07136822366479598, 0.454415700137702, 2.13301276896599, 1.4095325432184307, 1.7063764380208226, -0.1450748649483794, -0.8381142674104272]\n" + "Optimized parameters: [1.378263971250864, -0.1723765467120403, 0.8183198505030841, 0.9401085896146647, 1.0536459505466576, 1.99175209829535, -0.37769530244325744, -0.4330620991069948]\n" ] } ], @@ -599,7 +601,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -646,38 +648,39 @@ "name": "stdout", "output_type": "stream", "text": [ - "Optimized parameters: [1.2172842944772573, -0.07136822366479598, 0.454415700137702, 2.13301276896599, 1.4095325432184307, 1.7063764380208226, -0.1450748649483794, -0.8381142674104272]\n", - "solution=[1, 1, 0, 0, 1] probability=0.125 cost=-0.833\n", - "solution=[0, 0, 1, 1, 0] probability=0.106 cost=-0.833\n", - "solution=[1, 0, 1, 1, 0] probability=0.104 cost=-0.833\n", - "solution=[0, 1, 0, 0, 1] probability=0.097 cost=-0.833\n", - "solution=[0, 1, 1, 0, 0] probability=0.067 cost=-0.667\n", - "solution=[1, 0, 0, 1, 0] probability=0.050 cost=-0.667\n", - "solution=[1, 0, 0, 1, 1] probability=0.048 cost=-0.667\n", - "solution=[0, 1, 1, 1, 0] probability=0.040 cost=-0.667\n", - "solution=[0, 1, 1, 0, 1] probability=0.037 cost=-0.667\n", - "solution=[1, 0, 0, 0, 1] probability=0.031 cost=-0.667\n", - "solution=[1, 1, 0, 1, 0] probability=0.027 cost=-0.500\n", - "solution=[0, 1, 0, 0, 0] probability=0.021 cost=-0.500\n", - "solution=[0, 0, 1, 0, 1] probability=0.020 cost=-0.500\n", + "Optimized parameters: [1.378263971250864, -0.1723765467120403, 0.8183198505030841, 0.9401085896146647, 1.0536459505466576, 1.99175209829535, -0.37769530244325744, -0.4330620991069948]\n", + "solution=[1, 0, 1, 1, 0] probability=0.110 cost=-0.833\n", + "solution=[0, 0, 1, 1, 0] probability=0.100 cost=-0.833\n", + "solution=[1, 1, 0, 0, 1] probability=0.099 cost=-0.833\n", + "solution=[0, 1, 0, 0, 1] probability=0.094 cost=-0.833\n", + "solution=[0, 1, 1, 0, 0] probability=0.069 cost=-0.667\n", + "solution=[0, 1, 1, 0, 1] probability=0.055 cost=-0.667\n", + "solution=[1, 0, 0, 1, 1] probability=0.054 cost=-0.667\n", + "solution=[0, 1, 1, 1, 0] probability=0.043 cost=-0.667\n", + "solution=[1, 0, 0, 0, 1] probability=0.041 cost=-0.667\n", + "solution=[1, 0, 0, 1, 0] probability=0.037 cost=-0.667\n", + "solution=[1, 0, 1, 0, 1] probability=0.032 cost=-0.500\n", + "solution=[0, 1, 0, 1, 0] probability=0.030 cost=-0.500\n", + "solution=[0, 1, 0, 1, 1] probability=0.024 cost=-0.500\n", + "solution=[0, 1, 0, 0, 0] probability=0.023 cost=-0.500\n", + "solution=[0, 0, 1, 0, 1] probability=0.023 cost=-0.500\n", + "solution=[1, 1, 0, 0, 0] probability=0.023 cost=-0.500\n", + "solution=[1, 1, 0, 1, 0] probability=0.020 cost=-0.500\n", "solution=[1, 0, 1, 1, 1] probability=0.020 cost=-0.500\n", - "solution=[1, 0, 1, 0, 1] probability=0.019 cost=-0.500\n", - "solution=[0, 0, 1, 0, 0] probability=0.019 cost=-0.500\n", - "solution=[1, 0, 1, 0, 0] probability=0.015 cost=-0.500\n", - "solution=[1, 1, 0, 0, 0] probability=0.014 cost=-0.500\n", - "solution=[0, 1, 0, 1, 0] probability=0.014 cost=-0.500\n", - "solution=[0, 0, 1, 1, 1] probability=0.013 cost=-0.500\n", - "solution=[1, 1, 0, 1, 1] probability=0.013 cost=-0.500\n", - "solution=[0, 1, 0, 1, 1] probability=0.009 cost=-0.500\n", - "solution=[1, 1, 1, 1, 0] probability=0.019 cost=-0.333\n", - "solution=[1, 0, 0, 0, 0] probability=0.012 cost=-0.333\n", - "solution=[1, 1, 1, 0, 1] probability=0.011 cost=-0.333\n", - "solution=[0, 0, 0, 0, 1] probability=0.010 cost=-0.333\n", - "solution=[0, 1, 1, 1, 1] probability=0.009 cost=-0.333\n", - "solution=[0, 0, 0, 1, 0] probability=0.009 cost=-0.333\n", - "solution=[0, 0, 0, 1, 1] probability=0.003 cost=-0.333\n", - "solution=[1, 1, 1, 1, 1] probability=0.013 cost=0.000\n", - "solution=[0, 0, 0, 0, 0] probability=0.005 cost=0.000\n" + "solution=[1, 0, 1, 0, 0] probability=0.018 cost=-0.500\n", + "solution=[0, 0, 1, 1, 1] probability=0.016 cost=-0.500\n", + "solution=[0, 0, 1, 0, 0] probability=0.016 cost=-0.500\n", + "solution=[1, 1, 0, 1, 1] probability=0.014 cost=-0.500\n", + "solution=[0, 0, 0, 1, 1] probability=0.007 cost=-0.333\n", + "solution=[1, 1, 1, 0, 0] probability=0.006 cost=-0.333\n", + "solution=[1, 0, 0, 0, 0] probability=0.005 cost=-0.333\n", + "solution=[0, 1, 1, 1, 1] probability=0.005 cost=-0.333\n", + "solution=[0, 0, 0, 0, 1] probability=0.004 cost=-0.333\n", + "solution=[0, 0, 0, 1, 0] probability=0.003 cost=-0.333\n", + "solution=[1, 1, 1, 0, 1] probability=0.003 cost=-0.333\n", + "solution=[1, 1, 1, 1, 0] probability=0.003 cost=-0.333\n", + "solution=[1, 1, 1, 1, 1] probability=0.002 cost=0.000\n", + "solution=[0, 0, 0, 0, 0] probability=0.001 cost=0.000\n" ] } ], @@ -707,7 +710,7 @@ "outputs": [ { "data": { - "image/png": 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DkP7+d/vrALzqwAGP/CNfLSlG0nt53pOk+Hju9gT81erV5rNI7HzeUkqK2SrfutW+GgAvMwxpyxZPDIx7NMG54wzwV9evSx98YP2tZrczDPM5al99ZV8NgAU8c4nqufx2uchvwJ+9+aY9i73cLihIeuste2sAvG7bNo88r8BjCe52S5s25bkeT2BgHPCA5GTp44/tbZOnuXpVio62uwrAizzQAk6V9ISkyZKa5Hlv/0XLHPBPH33ksect5UlQkHkxATjUyZPSlSt53YtnEzw4mPgG/NbXX/vGjHC32/4BesDLNm3K6xxSz+Z3aqq0cWOedwPABvv2mSs+2B2bKSnSokVSXJy9dQBetW1bnpd88Xgf+vnz0rlznthTnjAwDnjA3LnmOZ07WyQ9LqmRzKc0VJUUIelQrvYWECD94x+5rQXwAwcPmj3ZefCppOOSXvNIQTIHtA4c8NTeAFjlzBlp1qxcPW/Js+kts4YZM1iOFY518KAn9uLZBE9OZil1wC8ZRq4bvR7Pb0k6flxasiQvewB8VlKSdOpUXvfi8Ra4jh61f2ANQM598klu56V7PsEDAqRPP8312wHft3dvnp8v7vkEl0/0ofvA7TGA/4uNNSff5G4G7V8lrZMULqmppLOSPpTUUtJGSY1ztDe321zm6uxZqXz53NQD2M/tdsvtdis1NTXTfwv+/LMKSsrtQjA/S/pfSX+WVMZTBbtcHntmCwALLViQ69tfPJve/5WUZHasjx6dq5oAuxmGkZ7Xv87ws2cDJBXLw969kuCKj/fYrgBY5ciRXHeoeSW/g4Kk2bOlfv1yVRNgt7T8/nXbOzU1VVeuGJJK5mHv3slvw5ASE6XQUI/tEoAFoqJyO07n+QRPTTVXXX3zzdzUA9jPMAwZhnHH/vPU1FQVu3o1TwPA3klw+UQfOgPjgAds3JiXZaWekfSNpAK3vTZK5uIUb0r6Old73bZNGjgwtzXBX90tDO/WSe3J33lyv8Y9HkDab8cOtU5NVW4XgvmTpFIyl4HxKDufTwwgd7ZtMzuzc9Ey90p6p63rzMB4vnP7gLKVGe7pY94rv/ftqy/zLMkt7yQ48Q34oTw8A8Er+Z2S4jPPS4S1bu+Q9kauZvU7T7bl7+bmzYKS/piHvyWvtcDJcMDPnDuXlxVXvdN/fuyYdP26VLRobuuCv7rbhDB/y/B7+d3PP+dpQNvJfegMjAN5dP26uYRT7nW8w2t1ZC4Nsz9XewwKYmA8p+7UIW1lw9ZT+71Xh3RuuFwuBQYGKjAwUAEBAXf8771+V6BAgQyv5eS9d/vdfWfOKGDHjlytm3ZY0ueS3pP0022v35KULClO5r1spXLzl8VUdcD/bNqU62WlPJ/eMtd13rw5t+/Ol+52h5O/TQjLqkGbUy6XK1tZe7dtgoODc/yerLZZtaqwoqJy+4m8l+CFCuW2JgC22bbNnEyWnJzjt3olvyVpzx5z5ZcCBbLeFpLktUlaVk8M87ScZu6v29+/bnvnNsvT/ndSUpDeeiu3n8arLXAVLJjbugDYIQ/z2uStBDcMaccO6f77c72LfOfXN2X542ByqhcGZvPSbg4ODlZISIjHMjztv8WjoqSLF3P1eZzeh87AOJBHu3aZIepZhqRzMsM959zuvF5sZN+vO6TtGEz2xDG9NaCc2wZocHCwRweTc/s7lyu3C5Z7UcOGuZ5ZdlqSW9KT//35tRqSnpIZ+jmSkiJVqpSrmgDYJDXV7MT2oLyl939t3+6ZYrKQ1ZJb/jIhzFsd0nmZEHb7Np7K6Zy+3xfzO29LlnsnwQMDpWrV8lIXAFts2ZKrQfG78Uh+p6RI+/ZJzZt7pKZ7ye3kLF+bGOZpecncX3dIW9nm/vV1g68xDPNOyuvXc/Nur7XAdd99uX1OMQC7bN+e6wXb7iLvCR4QYNZlxcD4vR475e32uCevDTzdh57TdvPt2wQFBWVrW2+0uW//r8/2odetaz5+KBf9Jt5LcPlEHzqXEEAeXbrkjb3OkPn182qu3u12S0eOXNXKlTu8Hoqe7pC+/Q6n3ATTr+9wsmMw2Vc7pB2jZctcBbpkPnEo9g6v/0nSdUnvS6qVmx0bhtSqVa5qAmCTGzc82qku5TW9/ys+XquWL1eqdNcc9lSD2dPy0gC90x1OVg8m+2qHtFM0aJDrGzzlrQQnvgE/lcs7X+7GI/ktadeKFbp0+XK2BpPz0h73Zod0TvM0rUP6bhluVXvc5XLRBvcSl0tq3VpasSI37/ZOfgcESG3a5KYeAHa6dMn8TvGcvCd4QIBbO3ac1IoVR70+IczbN2XlNE9vvynLGzmd3W3Iby9q1UqaNy9Xb/VaH3poqDlgbzMGxoE8Skz09B4PSHpMUgdJ43K9l8uXb2n79u3ZDiZvLLmVmzCkQxpZat7cvJLOxQVlaUnD7vD6e//9751+ly2BgVKTJrl9NwA7eDjAPZPepp2bNskIDc32hDBPLrmV24YtHdLISnCwGZW5WxTBOwnudjMwDvilW7c8titP5veRvXt1XMpWrt7pDierB5PTjkl+Iytt2khr1+Zmcpt38puBccA/ebYJ7pkENwxDx4+f086dO7Odp3l97JSnBqPJb2SpVatcr7rqtT70Fi3MILcZA+NAHgUHe3JvZyUNlFRcUoykwFzvqUqVcnrmmWc8VBfgQ4oUkerVM5eC8QUul9SoEQ84A/yNBwPcc+lteuq551gbEo7UsaP0ww+eXD4xbwICzIVoAPgZDz3H29P5PWL0aKlXrzzXBfiatm09vtBSnqSkMDAO+CPPNcE9l+ABAYHq3Lmtfv/7th6qDfAhrVvbXUFGQUFS+/Z2VyFJsn9oHvBzxYp5ak9XJfWXdEXSYkkV87S3EiXyXBDgu8aP9+jsspWS8vSk4fHjPVIHAAsVLuyR7xHPprfMzn4GxeFQY8Z4elB8pXKb4EFB0oABXDMDfskDJ67H81syH8QMOFD//p7s+5Ly2gIvWVLq08djxQCwSLFiuVr88Vc8m+BuN/ENBytTRurd21zp1ENWKg8JnpJidgr4AAbGgTzyzOrJtyQNlnRI0nxJDfO0t+Bgc7VpwLEmTvSJZVckmYNYDIwD/ic4WKpdO0+78Gx6/xePZYCDtW0rNW3qGxGekiI98YTdVQDIlRYt8nTbmVfyOyDAXEUKcKBChaTJkz3ar55rgYHSb38rhYTYXQmAnGraNK+TZD2f4KmpUrNmed4N4LueeCLXy6l7VNpzUFq0sLsSSQyMA3lWpoxUoUJe9pAqaZSkDZKiZT4bJW+Sk3leIhyuTBlp1Cj776oMCpIeesicsg7A/7Rvn+vvEc+nt8xO/nbtPLEnwCe5XNKTT5p3ZtitenVWPAb8VqtWuV7X2Sv5LUm1apmPfAIc6re/9Y1+dbdb+s1v7K4CQG7kra/aawlOHzqcbcAAqaJH1kbKG7fb7AzwEQyMAx7Qrl1e7nyZKmmuzGVgLkn6+lc/uUOow/FefNHuCswT/3/+x+4qAORWq1a5HqHzSnozsw35wIMPSjVq2H/X2Wuv+cad6wByIQ9Z6ZX8Dgz0meclAt5Sp465+qmd+R0YKE2YIFWrZl8NAHKvevW8LFvunf7z8uXNe28AxwoMNBu/dtdQt64UHm5vHbdxGUben+wA5HeffSY9+mhun5PSTdKqe/w+Zzt1ucxGwtGj5v8GHO3NN6UXXvDEQ4py5+9/l555xp5jA8i7AwekBg1y9dZu8mR6/5fLJcXFSVWr5ubdgN9Yt07q0sWe+A4Kkvr2lebN41oZ8FupqVKlStK5czl+azd5Ib8l6euvzZWkAAe7dEmqV8/8r9WrvwQESGXLmpfvxYtbe2wAnjN6tDRzZm6WVO8mTyd4UJA0bpz0z3/m+K2AfzEMsxG8YkVen2eQOy6XtHGj+Ww1H8EcecADHnpICg3N7btXygzvu/3k3JNP0tGHfOLZZ81nk1g9bT0oyLwr5KmnrD0uAM+qX1/q2jVX3yEr5eH0DgyUBg5kUBz5QqdO0u9/b/0d2y6X+ZzUL77gWhnwa4GB0mOP5epLZKU83fqWVKKEFBaW23cDfqNUKelf/7LnkShutzRtGoPigL977LHcjsutlKcTPCVF+t3vcvVWwL+4XNKXX0ohIdY3hF0u6Y9/9KlBcYmBccAjihSRJk60/3HHklSggDR+vN1VABYJCpK+/VYqVsy6wfHAQLM1PmOG/evAAsi7J57wjQcmpqZKjz9udxWAZf7yF3M1ZCuj1OWS/vMfqUIF644JwEsmT/aNGS6BgebDl0NC7K4EsMTgwfY8IvS558yb3QD4t86dzfnpdkd4QIDUpo3UsqW9dQCWqVJFmj7d2mOmPW7opZesPW42MDAOeMhjj9kza/Z2gYHmEjAlS9pbB2CpOnWkZcvMW8C83bseGGjOhFm+XKpZ07vHAmCNIUPM5VjtfNhwYKBUu7bUu7d9NQAWCw2VvvvO7Bjzdny7XObPV1+ZpzwAB6hQQYqIsH92ussl/eY39tYAWOzdd82+J6tMniz99a/WHQ+A97hc0tSp9j0RMY3bzZMRkQ+NHGkun2aFwECpcWNp0SKpYEFrjpkDDIwDHlK/vvQ//2PfjLeAAHNA/I037Dk+YKuWLaW1a81lDL3Vux4YKN13n/lg1KZNvXMMANYLDrZvTcg0aWtD2jk4D9igZElpzRrzznFvXUMHBpo/334rjR3rnWMAsMk770iFC8uwqxHuckmvvSZVr27P8QGbBASYl8+PPmr+2RunYNo+n35a+uwz++8uBeA5EydKHTrYN7ctMFDq1UsaNcqe4wO2mjRJ+vprM8y91Yfucknt2kmrVvnsM1DofQM86H//V6pZM0kul/Wd6263+aiIUqUsPzTgG5o2lfbskQYMMP/sqZZz2n6GDJF275YaNfLMfgH4jj59lDRunNx29LgFBJg9fp06WX9swAeULCmtXi09/7zn2+Yul1SvnrR5s3ljKQCHKV9eqR98IJcdt50FBkotWkjPPmv9sQEfEBAgffSR2bdetKhn8zvt6WWRkebd6cwdBZwlIECaPt2wpf9cMm9e/de/mHCDfOyhh6RNm8yVCz15IqTNSv/zn6UVK3x2UFxiYBzwGMMwtHPnJvXuPV0BAZLLZV3jPCDAvAOGpSGR75UvL82ZYz7/u1ixX9ZOzY2095YoYbbIZ82Sypb1aLkAfENcXJw+qVVL8cWLy7DygcdBQeZjGf7yF+uOCfigkBDp9dd/aZtLeetgv709vmOHOXYFwHmuXr2qfyUk6ECDBjKsHDkLCDAz/N//tn8pd8BGLpfZt37w4C/z0/NySqS9d8gQc59MagOcKTk5WXv3zlGvXottOf6HH5qPWwbytdatpV27PDNDPe299epJW7ZIr7wiFSjgmTq9hIFxwAOSk5M1e/ZsLV68WEOHVlFkpCGXy2XJzLOAAKl7d+nzz71/LMAvuFzSgw9KcXHSe+/98izw7LbQ07arXVv6xz+kY8dokQMOZRiGNm7cqH//+98qUbWqglaulMubj2S4XVCQVKaM9P33UqFC3j8e4AdatzYXZ4mO/mURhcDA7M1xCw42/1uypPSHP0g//ugX7XEAuRQXF6fPP/9cN27eVPF58+Rq186a/Ha5zEb4nDmsJAX8V9r89HXrzKZzUFD2+9gDA81tg4OlBx6QNmxgTjrgZFeuXNFXX32lvXv36o03KmvqVGuP/9JL0vjx1h4T8FlpM9QPH5amTv3lDu/s9KG7XL8E/f33m+G9a5ffzEp3GYYda04BznHlyhVFRkbq4sWLGjx4sJr+99nDMTHmRb3b7b3HlgYESD16SLNnS4ULe+cYgN8zDGn5cmnBAnMt1e3bpYSEzNsVKmQ+q7xtW2nwYKlrV9ZVAhwsOTlZ8+bN0+7du9W+fXv17t1bAQEB0r595oyzS5eklBTvHDwoyOxBXLHil9tjAWSyb58UFWVOOt+8Wbp4MfM2QUHm2FS7duapO3y42b4H4Expk9qWLl2q6tWra+TIkSpcuLB07Zo0cKC0fr13G+BBQWbH38CB3jkG4AAXLkjffCNt3Gj+xMXdebsaNaT27c1nDT/wgFS6tKVlArDYsWPHFBMTo+DgYI0aNUoVKlSQYZhPJXnnHe8f/89/NifO0tUH3MWtW9LMmeazwTdulPbvv3O/WJkyZv95mzbS6NHmneJ+hoFxIA+OHj2qmJgYhYSEaNSoUSpfvnyG33//vXnj6s8/S6mpnjtuQIDZ1v/Nb8wbWrkTBsgBt1s6elTbV6zQgV279OCECeZy6TVq8PAyIJ+4fPmyoqKidPHiRQ0ZMkRNmjTJuEFcnBQeLm3d6p0COnUyH9FQqZJ39g84kGFIZ85IO3ee0cyZCzV69EhVqlRCtWoxEA7kF0lJSZo3b5727NmjDh06qFevXuaktjQJCdKjj0rTp//SaPaUgACpQgXp22+lzp09t18gH7hyRTp+XPrwwy/VqVNHtWjRQNWr+/SjRwF4kGEY2rBhg5YtW6YaNWpo5MiRKnTbqmmGIb3/vrnqk2F4dn56UJD58957Zj86gBxITJR+/FELoqMVGhysHgMGmDd5VKhgd2V5xsOQgFwwDEPr16/X999/r5o1a2rkyJEKDQ3NtF3PntKBA9LTT5uPH/NE2zwwUCpXztxfz5552xeQLwUESLVr69qpUzp7/brUqpXdFQGw0JEjRxQTE6PQ0FBNnjxZ5cqVy7xR9erm7Ni//13605880zpPa5G/9Zb02GNMxAFyyOWSKlaUkpIStWXLKbVsmar77rO7KgBWuXTpkqKionTp0iWNHDlSjRs3zrxRaKg0bZo5uW3CBHP1l7zOUA8MNPcxebL0t79JRYvmbX9APlSihFS8uKHKlU+pSZObatbM7ooAWCUpKUlz587V3r171alTJ/Xo0SPjpDaZ1/lPPy317SuNHeuZ+ekul9mMb9fOnC9Xq1be9wnkOyEhUqNGurBli4oVK+Y3y6RnBz1yQA4lJSUpJiZGy5YtU6dOnfTggw/ecVA8TcmSZgAvXGiGsZT9Rx2nSbteKF5ceu45c7CdQXEgb9xud6aLcQDOZRiG1q5dq6+//lqVK1fWlClT7jwoniYw0JyyvmuXuTZz2gMQcypt2dXwcPPhyU88waA4kAfu/84yJcOB/OPHH3/UF198oaSkJE2ePPnOg+K3GzhQOnhQeuqpXwayc/qdkdZo79RJWrZM+uwzBsWBPEhbsJT8BvKPS5cu6csvv9ShQ4cUHh6eeaWXX2nQQNqwwVwdtWpV87Wc9qGnbV+jhvTpp9Lq1QyKA3nlxD50Z30awMt+/vln/fOf/9SPP/6oiIgI9ezZM9tfCv37m48727XLnGxerNgvvwsOlgIDDblcbgUGGgoO/uV5JwEB5g2t//63dPas9MYbtMcBT3BiqAO4s8TEREVHR+v7779Xly5d9MADD9xzUlsGDRqYDzk+eVJ6+WWpSpVffhcYKAUFye1yyUgbAA8M/OX31atLr78unT5tPmiR54kDecbAOJB/GIahNWvWaMaMGapSpYqmTJmismXLZu/NJUuaK7+cPSt9+aXUrFnGRnZwsNwBAXK7XGZ+Bwf/8t7ixc0l2ffuNZ+xyKx0IM/IbyB/OXz4sL744gulpKRo8uTJatiwYbbeFxRkziU/dkxatMi8i/z2iA4OlgIC3P/tQ8/4uwIFzLlxy5ZJP/5oLp3OVw6Qd4ZhyJV2He0QLKUOZNOhQ4c0a9YsFSlSRJMnT1aZMmVytZ+mTaVPPpE+/lg6elTats38OXr0hvbvj1PDhrVVqlRBNWpkDog3ayYVLuzhDwNAbrfbcaEOILOff/5ZkZGRunr1qiIiItSgQYPc7ahCBenPfzZ/zp//JcCPHdPeLVtUsWJF3VepkjkdvVUr86d0ac9+GAB0rAP5RGJiombPnq0DBw7o/vvvV7du3XJ37V6okDRxovkTHy/t3Gmu0bp/v+J271awy6Uqdeuaz0ts3drM72rVfhlEB+AR5DeQPxiGodWrV2vlypWqW7euhg8froIFC+Z4PwEBUr9+5k9ysjlXbds284azQ4fO69y5K2ratL5KlpSaNzfju0GDnN9hDiBrTry5jK8KIAuGYWjVqlVatWqV6tWrp2HDhuUq0H/N5TL7zmvVkiIipLi4i5o+faaeeOIJlSqV9/0DuDfDMBwX6gAyOnjwoGJjY1WkSBFNmTJFpT01UF22rLkUTP/+MgxDs159VYMHD9Z9LVt6Zv8A7oqlWAHnu3jxoiIjI3Xt2jWNGjVK9evX98yOixSROnc2fyStnjZNxYsXV5Xhwz2zfwB3RX4Dznfr1i3Nnj1bBw8eVNeuXdW1a1eP3JASHGwOfjdvbv555coD2rFjh37/ew9dHwC4JwbGgXzm1q1bio2N1aFDh9StWzfdf//9XrvDlNmzgLWcGOoATIZhaOXKlVq9erXq16+vYcOGKSQkxGvHkshvwCpcMwPOduDAAcXGxqpYsWKendR2B7QHAOuQ34CzXbhwQZGRkYqPj9cDDzygunXreu1Y5DdgLSeecwyMA3dx4cIFffvtt7px44YefPBB1alTx6vHo5EAWMuJoQ7AnNQ2a9YsHT58WN27d1eXLl28+tgE8huwVto5x+NQAGdxu91auXKl1qxZowYNGmjo0KFem9R2+zH5LgGsQX4DzrV//37Nnj1bxYsX15QpU3Tfffd59XjkN2AtJ55zDIwDd7Bv3z7Nnj1bJUuW1COPPKJSpUp5/Zh0rAPWYmAccJ7z588rMjJSN2/etGRSm0R+A1bjnAOcJyEhQbNmzdKPP/6oHj16qHPnzpZ0vvFoJcA65DfgPG63WytWrNDatWvVsGFDDR06VAUKFLDkuHyXANZx4jUzA+PAbdxut5YvX65169apUaNGGjJkiCWBnnZsidmzgFW4kAacZe/evZozZ45KliypKVOmWDKpTSK/AavRsQ44y7lz5xQZGamEhAQ99NBDql27tmXHduLdL4CvIr8BZ0lISNDMmTN19OhR9ezZU506dbIsU+nPA6zlxHOOgXHgv27evKmZM2fq2LFj6t27tzp06GBpI5lGAmAtwzDoCAMcwO126/vvv9f69evVuHFjDR482LJJbWnHl8hvwCqcc4Bz7NmzR3PnzlWpUqX08MMPq2TJkpYe34mdfICvIr8B5zh79qwiIyOVmJiohx56SLVq1bL0+OQ3YC0nnnMMjAOSzpw5o6ioKCUmJmrMmDGqWbOm5TUYhiGJRgJgFSeGOpDf3Lx5UzExMYqLi1OfPn3Uvn17yye8kN+AtdLOOSa3Af7L7XZr2bJl2rBhg5o0aaLBgwcrODjYljrIb8AaXDMDzrB7927NnTtXpUuX1tixYy2f1CY5c1lnwJc58ZqZgXHkez/88IPmzZunMmXKaNy4cSpRooQtdTB7FrCWE0MdyE/OnDmjyMhIJScn6+GHH1aNGjVsqYP8BqyVtvQxA+OAf7px44ZmzpypuLg49e3bV+3atbPtfKY9AFiHa2bAv7ndbi1dulQbN25U06ZNNWjQIFsmtaXVQlsAsI4Tr5kZGEe+lZqaqqVLl2rTpk1q1qyZBg4caFugSzQSAKs5MdSB/GLXrl2aP3++ypQpo1GjRql48eK21UJ+A9YivwH/9dNPPykqKkrJyckaO3asqlevbms93HEGWCftmpnBLMD/3LhxQzExMTp+/Lj69euntm3b2nou0x4ArOXEySgMjCNfio+PV0xMjE6ePKn+/furTZs2tp/cdKwD1qIjDPA/qamp+u6777RlyxY1b95cAwYMsHVSm0R+A1ajIwzwTzt37tT8+fNVrlw5RURE2DqpLQ3fJ4B1uGYG/NPp06cVFRWl1NRUjRs3TtWqVbO7JPrzAIs58ZxjYBz5zqlTpxQVFSW3262xY8f6RKBLzJ4FrObE2W6Ak8XHxys6OlqnTp3SgAED1Lp1a584h8lvwFrkN+BfUlNTtXjxYm3dulUtWrTQgAEDFBTkG11RfJ8A1mFgHPA/O3bs0IIFC1S+fHlFRESoWLFidpckiYltgNWceM75RmsEsMi2bdu0aNEiVahQQeHh4T4T6JIzZ94AvsztdvtMpxyAezt58qSio6NlGIbGjx+vKlWq2F1SOsMwJNHJB1jFiY1ywKmuX7+u6OhonT59WgMHDlSrVq18aiCa7xPAOgyMA/4jJSVFixcv1rZt29SyZUv179/fp/rPyG/AWk4853znGw3wopSUFC1atEjbt29Xq1at1K9fP58KdMmZXzCAL+OcA/zDtm3btHDhQlWqVEnh4eEqWrSo3SVlQCcfYC0mkwL+4eTJk4qKipLL5fK5SW1paA8A1mEyKeAfrl+/rqioKJ05c0aDBg1Sq1at7C4pE/IbsJYTzznfGhkEvODatWuKjo7WmTNnNHjwYLVs2dLuku6IZdwAazkx1AEnSUlJ0cKFC7Vjxw61bt1a/fr1U2BgoN1lZcLAOGAt8hvwbYZhaOvWrVq8eLEqV66s8PBwFSlSxO6y7ojvE8A6PH4I8H0nTpxQdHR0+qS2ypUr213SHdGHDljLieccA+NwtOPHjys6OlqBgYGaMGGCKlWqZHdJd0WjHLAWd5wBvuvq1auKjo7W2bNnNWTIELVo0cLuku6KgXHAWlwzA74rJSVFCxYs0M6dO9WmTRv17dvXJye1paE9AFiHa2bAdxmGoS1btui7777z+UltEvkNWMmpK74wMA5HMgxDmzdv1pIlS1SlShWFh4ercOHCdpd1T3TyAdbinAN8U1xcnKKjoxUUFKSJEyeqYsWKdpd0T3TyAdYivwHfdPXqVUVFRen8+fMaOnSomjdvbndJWeL7BLAO18yAb0pOTtaCBQu0a9cutW3bVn369PHpSW2S+X0SHBxsdxlAvuDU/GZgHI6TnJys+fPn64cfflC7du3Uu3dvnw90iUY5YDUnLgMD+DPDMLRp0yYtWbJE1apVU1hYmM9PapNYFhKwGvkN+J5jx44pJiZGwcHBmjhxoipUqGB3SdnC9wlgHad2rAP+7MqVK4qKitKFCxc0fPhwNW3a1O6SsoU+dMA6Ts1vBsbhKFeuXFFkZKQuXryoESNGqEmTJnaXlG0sAwNYiwtpwHckJydr3rx52r17tzp06KBevXr5zfnp1GWlAF/FNTPgOwzD0MaNG7V06VJVr15dYWFhKlSokN1lZRvtAcA6XDMDvuXYsWOKjo5WSEiIX01qk8hvwEpOzW8GxuEYR48eVUxMjEJCQjRp0iSVL1/e7pJyhNnqgLW4kAZ8w+XLlxUVFaWLFy9q5MiRaty4sd0l5YhTZ88Cvor8BnxDUlKS5s2bpz179qhjx47q2bOnX52bTu3kA3wV18yAbzAMQxs2bNCyZctUo0YNjRw50q8mtUn0oQNWcmp+MzAOv2cYhtavX6/vv/9eNWvW1MiRIxUaGmp3WTlGJx9gLS6kAfsdOXJEMTExCg0N1eTJk1WuXDm7S8oxpzYSAF/FNTNgv0uXLikqKkqXLl3yy0ltEvkNWI3HDwH2S0pK0ty5c7V371516tRJPXr08MscpD0AWMep+c3AOPxaUlKS5syZo3379qlz587q3r273wYjoQ5Yi6VYAfsYhqG1a9dq+fLlql27tkaMGOGXk9okOtYBq3HNDNjrxx9/1MyZM9MntZUtW9buknKF/AasxTkH2OvSpUuKjIzU5cuXFR4eroYNG9pdUq7RnwdYx6n5zcA4/NbPP/+syMhIXb16VREREWrQoIHdJeUJnXyAtTjnAHskJiZqzpw52r9/v7p06aJu3br59bno1NmzgK8ivwF7GIahNWvWaMWKFapTp45GjBihggUL2l1WrpHfgLWc2rEO+IPDhw9r1qxZKlSokF9PakvDCpCAdZya3wyMwy8dOnRIs2bNUpEiRTR58mSVKVPG7pLyjE4+wFqcc4D1Ll68qMjISF27dk2jRo1S/fr17S4pz5zaSAB8lWEYdIQBFktMTNTs2bN14MAB3X///erWrZvfn4fkN2AtzjnAeoZhaPXq1Vq5cqXq1q2r4cOH+/WktjT05wHWcWp+MzAOv2IYhlatWqVVq1apXr16GjZsmCMCXWIZGMBqXEgD1jp48KBiY2NVpEgRTZkyRaVLl7a7JI8wDEOS8xoJgK8ivwFr3T6pbfTo0apXr57dJXkE+Q1Yi3MOsNatW7c0e/ZsHTx4UF27dlXXrl39flJbGtoDgHWcmt8MjMNv3Lp1S7GxsTp06JC6deum+++/3zGBLrEMDGA1LqQBaxiGoZUrV2r16tWqX7++hg0bppCQELvL8hinzp4FfBX5DVjnwIEDio2NVbFixRw1qU0ivwGr8fgCwDoXLlxQZGSk4uPj9cADD6hu3bp2l+RRtAcA6zj1mpmBcfiF8+fPKzIyUjdu3NCDDz6oOnXq2F2SxxHqgLWYjAJ4361btzRr1iwdPnxY3bt3V5cuXRx33jm1kQD4Kq6ZAe9zu91auXKl1qxZowYNGmjo0KGOmtQmkd+A1chvwBr79+/X7NmzVbx4cU2ZMkX33Xef3SV5HKuuAtZx6sQ2Bsbh8/bt26fZs2erZMmSeuSRR1SqVCm7S/IKQh2wFucc4F3nz5/Xt99+q4SEBMdOapPoWAesRn4D3pWQkKBZs2bpxx9/VM+ePdWpUyfHdYRJ5DdgNQbGAe9yu91asWKF1q5dq4YNG2ro0KEqUKCA3WV5Bd8ngHWces3MwDh8ltvt1vLly7Vu3To1atRIQ4YMcWygS4Q6YDXOOcB79u7dqzlz5qhkyZIaM2aMYye1Sc6dPQv4KlZ8Abzn3LlzioyMVEJCgsaMGaNatWrZXZLXkN+AtchvwHsSEhI0c+ZMHT16VL169VLHjh0dfb7xfQJYh4FxwEI3b97UzJkzdezYMfXu3VsdOnRwfOAxSAdYi3MO8Dy3263vv/9e69evV+PGjTV48GBHT2qTzLtXXS6X469TAF9BfgPesWfPHs2dO1elSpXSww8/rJIlS9pdklcZhiHJeZ18gK8ivwHvOHv2rCIjI5WYmKiHHnrI0ZPa0vB9AliHgXHAImfOnFFUVJQSExM1ZswY1axZ0+6SLEGoA9binAM86+bNm4qJiVFcXJz69Omj9u3b54vBYr5LAGu53W4FBdGMBTzF7XZr2bJl2rBhg5o0aaLBgwcrODjY7rK8zqmdfICv4lEogOft3r1bc+fOVenSpTV27FjHT2pLQxscsI5TJ5PSowCf8sMPP2jevHkqU6aMxo0bpxIlSthdkmVYBgawFucc4DlnzpxRZGSkkpOT9fDDD6tGjRp2l2QZvksAa9ERBnjOjRs3FBMTo+PHj6tv375q165dvsk0BsYBa5HfgOekpqZq6dKl2rRpk5o2bapBgwbli0ltafg+Aazj1McPMTAOn5CamqolS5Zo8+bNatasmQYOHJivAl1i9ixgJcMwOOcAD9m1a5fmz5+vsmXLKiIiQsWLF7e7JEvRKAesRX4DnvHTTz8pMjJSKSkpGjt2rKpXr253SZZiYBywFtfMgGfcuHFD0dHROnnypPr166e2bds6bsAqK7QHAOs49ZqZgXHYLj4+XjExMTp58qT69++vNm3a5LtAl8wvmcDAQLvLAPIFpy4DA1gpNTVV3333nbZs2aLmzZtr4MCB+XJ5Yzr5AGtxzgF5t3PnTs2fP1/ly5dXRESEihUrZndJlnNqJx/gq8hvIO9Onz6tqKgopaamauzYsapWrZrdJdmC7xPAOk69Zs5/vZfwKadOnVJUVJTcbrfGjRunqlWr2l2Sbdxud767Sx6wi1NDHbBKfHy8oqOjderUKQ0YMECtW7fOl5PaJBrlgNV4fAGQe6mpqVq8eLG2bt2qFi1aaMCAAflyUpvk3GUhAV9FfgN5s2PHDi1YsCBfT2pLw/cJYB2n9qHnzxYQfMK2bdu0aNEiVahQQeHh4fk60CU61gErccc4kHsnT55UdHS0DMPQ+PHjVaVKFbtLshXLuAHW4poZyJ3r168rOjpap0+f1sCBA9WqVat83alMewCwFtfMQO6kpKRo8eLF2rZtm1q2bKn+/fvn20ltaWgPANZx6jVz/v4WhS1SUlK0aNEibd++Xa1atVK/fv3yfaBLzHYDrOTU2W6ANxmGkT6prVKlSgoPD1fRokXtLst25DdgLTrCgJw7efKkoqKi5HK5mNT2X7QHAGuR30DOXb9+XVFRUTpz5owGDRqkVq1a2V2S7QzDYKINYCGnXjMzGglLXbt2TVFRUTp79qyGDBmiFi1a2F2Sz6CRAFiHpROBnElJSdHChQu1Y8cOtW7dWv369VNgYKDdZfkE8huwFpNRgOwzDENbt27V4sWLVblyZYWHh6tIkSJ2l+UTnNrJB/gqrpmBnDlx4oSioqIUEBCg8ePHq3LlynaX5BOcevcq4Kuc2ofOwDgsc/z4cUVHRyswMFATJkxQpUqV7C7JpzDbDbAOHWFA9l29elVRUVE6d+6chg4dqubNm9tdkk+hkw+wFtfMQPakpKRowYIF2rlzp9q0aaO+ffsyqe02tAcAa3HNDGSPYRjasmWLvvvuO1WpUkVhYWFMarsN+Q1Yy6nnHAPj8DrDMLR582YtWbJEVapUUXh4uAoXLmx3WT6Hu18A6zg11AFPi4uLU3R0tIKCgjRx4kRVrFjR7pJ8Dp18gLU454CspU1qO3/+vIYNG6ZmzZrZXZLPcerdL4CvIr+BrCUnJ2vBggXatWuX2rVrp969ezOp7VfIb8BaTu1DZ2AcXpWcnKz58+frhx9+INCzQCMBsI5TQx3wFMMwtGnTJi1ZskTVqlVTWFgYk9rugrtXAWtxzQzc27FjxxQTE6Pg4GBNnDhRFSpUsLskn8RSrIC1uBkEuLcrV64oKipKFy5c0PDhw9W0aVO7S/JJ5DdgLaf2oTMwDq+5cuWKIiMjdfHiRY0YMUJNmjSxuySfRicfYB0upIG7S05O1rx587R792516NBBvXr14ly5B/IbsBbnHHBnhmFo48aNWrp0qapXr66wsDAVKlTI7rJ8llM7+QBfxWRS4O6OHj2qmJgYhYSEMKktC+Q3YC2n9qEzMA6vOHLkiGbOnKmQkBBNmjRJ5cuXt7skn0cnH2AdLqSBO7t8+bIiIyN16dIljRw5Uo0bN7a7JJ/H3S+AtbhmBjJLSkrSvHnztGfPHnXs2FE9e/bkPMkC7QHAWuQ3kJlhGFq/fr2+//571ahRQyNHjmRSWxbIb8BaTn18AQPj8KjbA71mzZoaOXKkQkND7S7LLzB7FrCOU0MdyIsjR44oJiZGoaGhmjRpksqVK2d3SX6BTj7AWkxGATK6dOmSIiMjdfnyZYWFhalRo0Z2l+QX6FgHrMU1M5BRUlKS5s6dq71796pTp07q0aMH50g2kN+AtdLa305rgzMwDo9JSkrSnDlztG/fPnXu3Fndu3cnpHKARgJgHS6kgV8YhqG1a9dq+fLlql27tkaMGMGkthwgvwFrMZkU+MWPP/6omTNnKjQ0VJMnT1bZsmXtLslv0B4ArEV+A7+4fVJbeHi4GjZsaHdJfoP8Bqzl1D4vBsbhET///LMiIyN19epVRUREqEGDBnaX5He4+wWwDhfSgCkxMVFz5szR/v371aVLF3Xr1o3zIofo5AOs5dSGOZAThmFozZo1WrFiherUqaMRI0aoYMGCdpflV1hBCrAWfV6A6fDhw5o1a5YKFSrEpLZcIL8Bazk1vxkYR54dOnRIs2bNUpEiRTR58mSVKVPG7pL8Ep18gHUYGAekixcvKjIyUteuXdOoUaNUv359u0vyS+Q3YC3OOeR3iYmJmj17tg4cOKD7779f3bp1c2RnlbcZhiGJjnXAKuQ38jvDMLR69WqtXLlSdevW1fDhw5nUlgtp+c33CWANp+Y3A+PINcMwtGrVKq1atUr16tXTsGHDCPQ8cOqXDOCLuJBGfnfw4EHFxsaqaNGimjJlikqXLm13SX6L/AasxTmH/CxtUtv169c1evRo1atXz+6S/FbadwkD44A13G63goLohkb+dOvWLc2ePVsHDx5U165d1bVrV/Inl7jRBbCWU1dJ5IoEuXLr1i3Fxsbq0KFD6t69u7p06UKg5xGdfIB1WHoJ+ZVhGFq5cqVWr16t+vXra9iwYQoJCbG7LL/m1GWlAF/FOYf86sCBA4qNjVWxYsU0efJkJrXlEd8lgLXo80J+deHCBUVGRio+Pl4PPPCA6tata3dJfo2BccBaTs1vBsaRY+fPn1dkZKRu3LihBx98UHXq1LG7JEdw6uwbwBdxIY386NatW5o1a5YOHz6sHj16qHPnznQIewD5DViLcw75jdvt1sqVK7VmzRo1aNBAQ4cOZVKbBzi1kw/wVeQ38qP9+/dr9uzZKl68uKZMmaL77rvP7pL8Hv15gLWces3MwDhyZN++fZo9e7ZKliypRx55RKVKlbK7JMdw6pcM4Iu4kEZ+c/78eX377bdKSEhgUpuHkd+AdQzDoGMd+UpCQoJmzZqlH3/8UT179lSnTp2Y1OYh5DdgLc455Cdut1srVqzQ2rVr1bBhQw0dOlQFChSwuyxHoD8PsJZT85uBcWSL2+3W8uXLtW7dOjVq1EhDhgwh0D2MpdwA63Ahjfxk7969mjNnjkqWLKkxY8Ywqc3D3G63goOD7S4DyBfIb+Qn586dU2RkpBISEjRmzBjVqlXL7pIcxamdfICvos8L+UVCQoJmzpypo0ePqlevXurYsSP/9j2IRyMC1nJqfjMwjizdvHlTM2fO1LFjx9S7d2916NDBkSeD3WiYA9YxDEMSHetwNrfbrWXLlmnDhg1q3LixBg8ezKQ2LyC/AeuQ38gv9uzZo7lz56pUqVJ6+OGHVbJkSbtLchxWnwCsxTUz8oOzZ88qMjJSiYmJeuihh5jU5gW0BwBrOfWamYFx3NOZM2cUFRWlxMREjRkzRjVr1rS7JMeikQBYhzvO4HQ3b95UTEyM4uLi1KdPH7Vv355JbV7i1NmzgC8iv+F0brdbS5cu1caNG9WkSRMNHjyYVUm8hPwGrEWfF5xu9+7dmjt3rkqXLq1x48apRIkSdpfkSLQHAGs5Nb8ZGMdd/fDDD5o3b57KlClDoHsZs90Aa7H0EpzszJkzioyMVHJysh5++GHVqFHD7pIczamNBMAXkd9wshs3bigmJkbHjx9X37591a5dO/6texH5DViLyShwqtTUVC1dulSbNm1S06ZNNWjQICa1eRED44C1nHrNzMA4MklNTdWSJUu0efNmNWvWTAMHDiTQvYxQB6zFOQen2rVrl+bPn6+yZcsqIiJCxYsXt7skx3PqslKALyK/4VQ//fSTIiMjlZKSorFjx6p69ep2l+R4Tu3kA3wV18xwohs3big6OlonT55Uv3791LZtWyaAeBntAcBaTr1mZmAcGcTHxysmJkYnT55U//791aZNGwLdAtz9AliLC2k4TWpqqr777jtt2bJFzZs318CBAxUUxGWeFbj7BbAO+Q0n2rFjhxYsWKDy5csrIiJCxYoVs7ukfMGpnXyAr+Kcg9OcPn1aUVFRSk1N1dixY1WtWjW7S8oX6EMHrOXU/KbHFOlOnTqlqKgoGYahcePGqWrVqnaXlG+wlDpgLTrW4STx8fGKjo7WqVOnNGDAALVu3ZpGooWc2kgAfBH5DSdJTU3V4sWLtXXrVrVo0UIDBgxgUpuFuHsVsBbXzHCS7du3a+HChUxqswF96IC1nHozCK0uSJK2bdumRYsWqUKFCoqIiFDRokXtLilfoZMPsBYX0nCKkydPKioqSpI0fvx4ValSxeaK8h86+QDrkN9wiuvXrys6OlqnT5/WoEGD1KpVK7tLynfIb8BanHNwgpSUFC1evFjbtm1Ty5Yt1b9/fya1WYw+dMBaTp1Myjd3PpeSkqJFixZp+/btatWqlfr376/AwEC7y8p3CHXAWpxz8HeGYaRPaqtUqZLCw8OZ1GYTOvkA65DfcIK0SW0ul4tJbTZy6t0vgK/imhn+7vr164qKitKZM2c0ePBgtWzZ0u6S8iXaA4C1nJrfDIznY9euXVNUVJTOnj2rIUOGqEWLFnaXlG8R6oC1eCYR/FlKSooWLlyoHTt2qHXr1urXrx+T2mzk1NmzgC8iv+HPDMPQ1q1btXjxYlWuXFnh4eEqUqSI3WXlW07t5AN8FZNR4M9OnDihqKgoBQQEaPz48apcubLdJeVb9KED1nLqNTMD4/nU8ePHFR0drcDAQE2YMEGVKlWyu6R8jVAHrOXUUIfzXb16VVFRUTp37pyGDh2q5s2b211Svsf3CWAdrpnhr1JSUrRgwQLt3LlTbdq0Ud++fZnUZjPyG7AWk0nhjwzD0JYtW/Tdd9+pSpUqCgsLY1KbzWgPANZyan4zMJ7PGIahzZs3a8mSJapatarCwsJUuHBhu8vK97j7BbAWs9Xhj+Li4hQdHa2goCBNnDhRFStWtLskiO8TwEp0hMEfXb16VZGRkbpw4YKGDRumZs2a2V0S5NxOPsBXMRkF/iY5OVkLFizQrl271K5dO/Xu3ZtJbT6APnTAWk7t82JgPB9JTk7W/Pnz9cMPP6h9+/bq3bs3F6U+wjAMSXTyAVahUQ5/YhiGNm3apCVLlqh69eoaOXIkk9p8CN8ngHUYGIe/OXbsmGJiYhQcHKyJEyeqQoUKdpeE/yK/AWtxzsGfXLlyRVFRUbpw4YKGDx+upk2b2l0S/os+dMBaTs1vBsbziStXrigyMlIXL17UiBEj1KRJE7tLwm3o5AOsxR0i8BfJycmaN2+edu/erQ4dOqhXr1782/UxTm0kAL6IjjD4C8MwtHHjRi1dulTVq1dXWFiYChUqZHdZuA35DViLcw7+4ujRo4qJiVFISIgmTZqk8uXL210SbpN296oT72AFfJFT85uB8XzgyJEjmjlzJoHuwxgYB6zl1FCHs1y+fFmRkZG6dOmSRo4cqcaNG9tdEu6A7xPAOiydCH+QlJSkefPmac+ePerYsaN69uxJTvggpy4LCfgqzjn4OsMwtH79en3//feqUaOGRo4cyaQ2H8R3CWAtt9utoCDnDSM77xMhnWEYWrdunZYvX66aNWtq5MiRCg0Ntbss3AED44C1GMiCr/vxxx81c+ZMhYaGatKkSSpXrpzdJeEuWIECsA7XzPB1ly5dUmRkpC5fvqywsDA1atTI7pJwF+Q3YC3OOfiypKQkzZ07V3v37lWnTp3Uo0cP/r36KPrzAGs5Nb8ZGHeoxMREzZ07V/v27VPnzp3VvXt3R/4Ddgo6+QBrcSENX2UYhtauXavly5erdu3aGjFiBJPafBzfJ4B1uGaGLzt8+LBmzZqlQoUKafLkySpbtqzdJeEeyG/AOoZhcM7BZ90+qS08PFwNGza0uyTcA98lgLWces4xMO5AP//8syIjI3X16lVFRESoQYMGdpeELLAsJGAtll6CL0pMTNScOXO0f/9+denSRd26dXPkxafT8H0CWIeBcfgiwzC0Zs0arVixQnXq1NGIESNUsGBBu8tCFtxutwIDA+0uA8gXDMOQRH7D9xw6dEizZs1S4cKFNWXKFJUpU8bukpAFpw7SAb7KqX1eDIw7TFqgFylSRJMnTybQ/QSNBMBaTl0GBv7r4sWLioyM1LVr1zRq1CjVr1/f7pKQTTTMAetwzQxfk5iYqNmzZ+vAgQO6//771a1bN0d2HDmR2+1WcHCw3WUA+QL5DV9jGIZWr16tlStXqm7duho+fDiT2vwE/XmAtZza58XAuEMYhqFVq1Zp1apVqlevnoYNG0ag+xHufgGs5dRQh386ePCgYmNjVbRoUU2ZMkWlS5e2uyTkAN8ngHW4ZoYvSZvUdv36dY0ePVr16tWzuyTkgFPvfgF8EfkNX3Lr1i3Nnj1bBw8eVNeuXdW1a1fywI+Q34C1nNrnxcC4A9y6dUuxsbE6dOiQunfvri5duhAQfoZGAmAtp4Y6/IthGFq5cqVWr16t+vXra9iwYQoJCbG7LOSAYRjMWAcsxOOH4CsOHDig2NhYFStWTJMnT2ZSmx+iPQBYh/yGr7hw4YIiIyMVHx+vBx54QHXr1rW7JOQQ+Q1Yy6mTURgY93Pnz59XZGSkbt68qQcffFB16tSxuyTkAgPjgLW4kIbdEhISFBsbq8OHD6tHjx7q3LmzIy80nY5lIQFrcc0Mu7ndbq1YsUJr165VgwYNNHToUCa1+SkmtgHWIb/hC/bt26c5c+aoePHimjJliu677z67S0Iu0J8HWMup18wMjPuxffv2afbs2SpZsqSmTJmiUqVK2V0SconZs4C1uJCGnc6fP69vv/1WCQkJeuihh1S7dm27S0Iukd+AtehYh50SEhI0a9YsHTlyRD179lSnTp34/vdjTr37BfBF5DfsdPuktoYNG2ro0KEqUKCA3WUhl+jPA6zl1HOOgXE/5Ha7tXz5cq1bt06NGjXSkCFDCHQ/xx1ngLXoCINd9u7dqzlz5qhUqVJ6+OGHVbJkSbtLQh6Q34C16FiHXc6dO6fIyMj0SW21atWyuyTkkVM7+QBfRH7DLgkJCZo5c6aOHj2qXr16qWPHjvQF+Tmn3r0K+CqnXjMzMO5nbt68qZkzZ+rYsWPq3bu3OnToQKA7AI0EwFpcSMNqbrdby5Yt04YNG9S4cWMNHjyYSW0OQH4D1mIyCuywZ88ezZ07l0ltDuPUTj7AF5HfsMPZs2cVGRmpxMREJrU5CPkNWMup5xwD437kzJkzioyMVFJSksaMGaOaNWvaXRI8hI51wFpODXX4pps3byomJkZxcXHq06eP2rdvz6Q2hyC/AWvx+AJYye12a+nSpdq4caOaNGmiwYMHKzg42O6y4CG0BwDrkN+w2g8//KB58+apdOnSGjdunEqUKGF3SfAQVoAErOXUc46BcT+xa9cuzZ8/X2XKlNH48eMJdIehYx2wFh1hsMpPP/2kqKgoJScn6+GHH1aNGjXsLgkeRH4D1uKcg1Vu3LihmJgYHT9+XH379lW7du0c2SGUn7GCFGAd8htWSU1N1dKlS7Vp0yY1bdpUgwYNYlKbw9CfB1jLqeccA+M+LjU1VUuWLNHmzZvVvHlzDRgwgEB3IBoJgLXoCIMVdu7cqfnz56tcuXKKiIhQ8eLF7S4JHkZ+A9ZKm63OACW86aefflJkZKRSU1M1duxYVa9e3e6S4AVO7eQDfBHXzLDCjRs3FB0drZMnT6pfv35q27Yt14wORH4D1nJqHzoD4z4sPj5eMTExOnnypAYMGKDWrVsT6A7FslKAtZy6DAx8Q2pqqr777jtt2bJFzZs318CBAxUUxCWXE5HfgLXIb3jbjh07tGDBApUvX14REREqVqyY3SXBS/g+AazDwDi87fTp04qKikqf1FatWjW7S4KXMDAOWMup5xy9tD7q1KlTioqKkmEYGjdunKpWrWp3SfAiwzAk0UgArOLUUIf94uPjFR0drVOnTjGpLR8gvwFrkd/wltTUVC1evFhbt25VixYtNGDAACa1ORzfJ4B1GBiHN23fvl0LFy5kUls+4dS7VwFf5dRrZlp6Pmjbtm1atGiRKlSooIiICBUtWtTukuBl3HEGWMupoQ57nTx5UlFRUZKk8ePHq0qVKjZXBG+jkw+wFh1h8Ibr168rOjpap0+f1qBBg9SqVSu7S4IFaA8A1mEyKbwhJSVFixcv1rZt29SyZUv179+fSW35APkNWMup5xxp4UNSUlK0cOFC7dixQ61atVL//v0VGBhod1mwAM9LBKzldrtpMMFjDMNIn9RWqVIlhYeHM6ktn2BgHLCWUxvlsM+JEycUHR0tl8ulCRMmqHLlynaXBIvwfQJYh5tB4GnXrl1TdHS0zpw5o8GDB6tly5Z2lwSL8CgUwFpOPecYFfAR165dU1RUlM6ePashQ4aoRYsWdpcEC9EoB6zFHWfwlJSUFC1YsEA7d+5UmzZt1LdvXya15SMMjAPW4poZnmIYhrZu3arFixercuXKCg8PV5EiRewuCxaiPQBYh2tmeNKJEycUFRWlgIAAjR8/nklt+Qz5DVjLqeccA+M+4Pjx44qOjlZgYKAmTJigSpUq2V0SLEYnH2Atzjl4wtWrVxUVFaVz585p6NChat68ud0lwWJ08gHWIr/hCbdPamvbtq369OnDpLZ8iO8TwDpcM8MTDMPQli1b9N1336lKlSoKCwtjUls+RH4D1nLqOcfAuI0Mw9DmzZu1ZMkSVa1aVWFhYSpcuLDdZcEGTv2CAXyVU5eBgXXi4uIUHR2toKAgTZw4URUrVrS7JNiAZSEBa5HfyKurV68qMjJSFy5c0LBhw9SsWTO7S4JN+D4BrMPAOPIqOTlZCxYs0K5du9SuXTv17t2bSW35FH3ogHUMw+COcXhWcnKy5s+frx9++EHt27dX7969HfkPDNnj1C8YwFdxIY3cMgxDGzdu1NKlS1W9enWNHDmSSW35mGEYkujkA6zCNTPy4tixY4qJiVFwcLAmTpyoChUq2F0SbER7ALAO18zIiytXrigqKkoXLlzQ8OHD1bRpU7tLgo3cbreCg4PtLgPIF5yc3wyM2+Dy5cuKiorSxYsXNWLECDVp0sTukmAzZqsD1qIjDLmRnJysefPmaffu3erQoYN69erFv6N8jrtfAGuR38gNwzC0YcMGLVu2TDVq1NDIkSNVqFAhu8uCzfg+AazDNTNy6+jRo4qJiVFISIgmTZqk8uXL210SbEYfOmAdJ+c3A+MWO3LkiGbOnEmgIwMa5YC1uJBGTl2+fFmRkZG6dOmSRo4cqcaNG9tdEnyAkxsJgC/imhk5lZSUpHnz5mnPnj3q2LGjevbsyb8hSOL7BLASjx9CThmGofXr1+v7779XzZo1NWLECCa1QRL5DVjJyfnNwLhFDMPQunXrtHz5ctWsWVMjR45UaGio3WXBRxDqgLVYihU58eOPP2rmzJkKDQ3VpEmTVK5cObtLgo9gYBywFtfMyIlLly4pMjJSly9fVlhYmBo1amR3SfARTl4WEvBFXDMjJ5KSkjR37lzt3btXnTp1Uo8ePfi3g3T05wHWcXJ+MzBugcTERM2dO1f79u1T586d1b17d0f+Y0Lu0ckHWItzDtlhGIbWrl2r5cuXq3bt2hoxYgST2pCBk2fPAr6I/EZ2HT58WLNmzVKhQoU0efJklS1b1u6S4EPIb8BaTu5Yh2fdPqktPDxcDRs2tLsk+BjaA4B1nJzfDIx72c8//6zIyEhdvXpVERERatCggd0lwQcx2w2wFhfSyEpiYqJmz56tAwcOqEuXLurWrRv/ZpAJd5wB1uJRKMiKYRhas2aNVqxYoTp16mjEiBEqWLCg3WXBx5DfgLWc3LEOzzl06JBmzZqlwoULa8qUKSpTpozdJcEH0R4ArOPk/GZg3IsOHjyo2NhYFSlSRJMnTybQcVcM0gHW4pzDvVy8eFGRkZG6du2aRo0apfr169tdEnyUkxsJgC9iMinuJTExUbGxsTp48KC6du2qrl270nGKOyK/AWsxGQX3YhiGVq9erZUrV6pu3boaPnw4k9pwV/TnAdZxcn4zMO4FhmFo1apVWrVqlerVq6fhw4crJCTE7rLgw5jtBliLcw53c+DAAcXGxqpYsWKaMmWKSpcubXdJ8GF0rAPWoiMMd3Px4kV9++23io+P1+jRo1WvXj27S4IPI78Ba/H4AtzNrVu3NHv2bB08eFDdunXT/fffz78T3BPtAcA6Ts5vBsY97NatW4qNjdWhQ4fUvXt3denSxZH/cOBZhDpgLc45/JphGFq5cqVWr16t+vXra9iwYUxqQ5boWAesRX7jTn49qe2+++6zuyT4OPIbsBbnHO7kwoULioyMVHx8vB544AHVrVvX7pLgB1hBCrCOk/ObgXEPOn/+vCIjI3Xz5k09+OCDqlOnjt0lwU/QyQdYiwtp3C4hIUGxsbE6fPiwevTooc6dOzOpDdni5EYC4IvIb9zO7XZrxYoVWrt2rRo0aKChQ4cyqQ3ZQn4D1nLyHWfInX379mnOnDkqXrw4k9qQI/ShA9Zx8jUzA+MesnfvXs2ZM0clS5bUlClTVKpUKbtLgh8h1AFrcc4hzblz5xQZGamEhAQ99NBDql27tt0lwY/QyQdYi0ehIE1CQoJmzZqlI0eOqGfPnurUqRP/NpBt5DdgrbT85pyD2+3W8uXLtW7dOjVs2FBDhw5VgQIF7C4LfoT2AGAdBsZxV263W99//73Wr1+vRo0aaciQIQQ6coy7XwBrMTAOSdqzZ4/mzp2rUqVK6eGHH1bJkiXtLgl+xjAMSc5sJAC+iPyGJJ09e1ZRUVG6deuWHnroIdWqVcvukuBnyG/AWvR5QZJu3rypWbNm6ejRo+rVq5c6duzIACdyjPYAYB0nXzMzMJ4HN2/e1MyZM3Xs2DH17t1bHTp0INCRK4Q6YC3OufzN7XZr2bJl2rBhgxo3bqzBgwczqQ254uTZs4AvIr+xe/duzZ07V6VLl2ZSG3KN/AasRX7j7NmzioyMVGJiosaMGaOaNWvaXRL8FN8ngHWcfM3MwHgunTlzRpGRkUpOTtbDDz+sGjVq2F0S/BjLwADW4pzLv27evKmYmBjFxcWpT58+at++Pf8WkGssxQpYi46w/Mvtdmvp0qXauHGjmjRposGDBys4ONjusuCnnNzJB/gi8jt/++GHHzRv3jyVLl1a48aNU4kSJewuCX6M7xPAOk7u82JgPBd27dql+fPnq0yZMoqIiCDQkWcsKwVYi3Muf/rpp58UFRXFpDZ4DI1ywFrkd/5048YNxcTE6Pjx4+rbt6/atWvnyM4ZWIeBccBaXDPnT6mpqVq6dKk2bdqkpk2batCgQUxqQ57RHgCs4+RrZgbGcyA1NVVLlizR5s2b1bx5cw0YMIBAh0fQSACsxTmX/+zcuVPz589XuXLlFBERoeLFi9tdEhyA7xLAWpxz+c/p06cVFRWl1NRUjR07VtWrV7e7JDiAk+9+AXwR+Z3/xMfHKyYmRidPnlS/fv3Utm1bvnPhEawACViHgXFfl5wsXb4s3bolBQVJhQtLHu7wjo+PV3R0tE6dOqUBAwaodevWfAnDY2gkANbinPMNbrcZ3wkJkmFIoaFSqVKSJ/+vSU1N1XfffactW7aoefPmGjhwoIKCnHH5A/vxXQJYi44wH3L1qnTjhpSSIhUsKJUoIRUo4NFD7NixQwsWLFD58uUVERGhYsWKeXT/yL+c3MkH+CLy23fcvClduyYlJZmxXayYVKiQZ49x+vRpRUZGyu12a+zYsapWrZpnD4B8jTY4YB0nXzP7Z8/wzz9Ls2dLW7ZImzZJe/aYDfLblS4ttW8vtW4tdesm3X+/lMuLsFOnTikqKkqGYWjcuHGqWrVqnj8CcDu3263AwEC7ywDyBcMwJDkz1H1dYqK0YIG0YYO0ebO0fbsUH59xm8KFpZYtpbZtpQ4dpIEDzf723IiPj1dUVJROnz6tgQMHqlWrVnTIwKNYxg2wFh1hNjEMae1aacUKaetWaeNG6cKFjNsEBUmNGknt2plt8GHDpDJlcnW41NRULV68WFu3blWLFi00YMAAJrXBo2gPANbimtk+hw6ZbfC0+D52zIz129Wo8UsX+oABUv36uT/e9u3btXDhQlWoUEHh4eFMaoPH0R4ArOPka2b/aV0ahjkQ/tFH0v/7f+Zd4kFBmQfE01y8KC1cKC1eLL38slS7tvTkk9LYsTm6m3zbtm1atGiRKlSooIiICBUtWtQznwe4jdvtprMHsIiTZ7v5quPHpc8+kz791LxDPDjYjPE7uXFDWrPGbLT//e/mDWi/+Y35k5NHgp88eVJRUVGSpPHjx6tKlSp5/yDAr3D3C2AtOsIsdu2a9J//SP/4h9mzHhRkLvfy32upDFJSpF27pL17pc8/l373O2n0aOmxx8zB8mx+V16/fl3R0dE6ffq0Bg0apFatWnn4QwG0BwCrkd/WSkmR5s2TPvjAnNMWEGDGcGrqnbc/dkw6cUKKjJSmTpW6dpWeeEIaMsRsu2fvmClavHixtm3bplatWqlfv370c8Ir+D4BrOPka2b/+ETHj0u9e5sN6m+++aU3/W6D4mnc7l+2OXJEeuopqUIF6ZNP7tyYv01KSormzp2r+fPnq3nz5ho/fjyD4vAaZs8C1uGZgta5cUN6+mlzQPutt8xBcenug+K3S9vmyhXpb3+TatUy+9Z/fYf5rxmGoa1bt2ratGkqWbKkHnnkEQbF4TU0ygFrMRnFIoZhDm5XrGj2jB8+bL6ekpJlOzq9/Z2SIn37rbn8S48eZq97Fk6cOKHPP/9cV65c0YQJExgUh9c4uZMP8EVcM1tnzRqpbl1pxAhp9WrzNbf77oPiaVJTf4n4tWulsDDzHrOVK7M+5rVr1zR9+nTt3LlTgwcP1qBBgxgUh9fQhw5Yx8l96L79LZLWIG/YUFq1ynwtq8Hwe+3LMMwHmf7ud1L37ndtnF+7dk3Tpk3TDz/8oCFDhmjQoEEscw2vopEAWIeOMGusWWOuqPrBB2b8ZtUQv5fUVHMfn35qXhLcrXGeNqltwYIFatWqlcaNG8ekNngV+Q1Yi44wCxw/LvXsaS7VcuPGL+3o3Ehru69dawb4XSaoG4ahLVu2aPr06SpVqpQeeeQRVa5cOQ8fArg32gOAtbhm9r4bN8z7wbp2Ne/+lnLfBk9736lTZvf5vSaoHz9+XJ9//rmuXr2q8ePHq2XLlrk7KJANhmHwfQJYyMnXzL47fSsxUXrwQWnWLO/sf/16s8d+7lypV6/0l+Pi4hQTE6PAwEBNmDBBlSpV8s7xgdsQ6oB1nBzqvuLvf5eee85csi2rG8tywu2WTp82G+dvvCH9z//88rurV68qKipK586d09ChQ9W8eXPPHRi4C/IbsBbnnJetWCENHmy2xT0pJcX8+d3vpEWLpKgoqWBBSVJycrIWLlyonTt3qm3bturTpw+T0uF1Tr77BfBF5Ld3nTplLs5y5EjeJ6XfLq0t/+mn5pNKly+XqlUzXzMMQ5s3b9aSJUtUpUoVhYWFqUiRIp45MHAXac87Jr8Bazi5D903B8Zv3TIb5MuXe+8YacvA9e8vxcbKGDhQmzdv1nfffadq1aopLCxMhQsX9t7xgduwLCRgHSeHui94+WXplVfM/+2pBvnt0hrnzz8vXb8uvf66OaktOjpawcHBmjhxoipWrOj5AwN3wN2rgLXoWPeixYvNh4nevpaqNyxYYLbBFy7U1aQkRUZG6sKFCxo2bJiaNWvmveMCt0nrWOf7BLAGfV7eExf3/9u78zCpyjPv479TVc3SNLsgyCIIAoICsqOIisqmuLDK3kuM2ZxkJtvM5L2yzLwzeZOYzCTRmER7ZUcQWWVRZJNFFgUVEFGWqCAoIjR7d9f7x6EQEZruqlPPOXXO93NdXAkNVec56jn3s933I/XpI33ySfLCd1mZnYXeq5f02mtSs2bntHDhQm3dulU9e/bUfffdx6Y2GEH8Bszy8xy69xbGS0ulUaPsRfFkDsgl+/ujUUWHDtXqn/9cr5aWqlevXrrvvvt8+S8b3sUkH2AOHenk+cMfvlwUN+G//1v6/PN9atSoSC1atNCwYcPY1AajiN+AWTxzSbJmjfTQQ/bm8XjLpldUWZm0apVODh6sZwcMUKRaNWVnZ6tx48bJvS5wET9P8gFexGbS5PjkE+muu+z/jffk0YoqKZEOH5b69i3T978/XWfP7tcjjzyijh07JvfCwEWI34BZfp5D997C+B/+YJc3NyUaVbSkRN1+/Wtds3ix2t9xh7lrA+cxyQeYQ+nE5Fi3TvrRj8xf95lnmuvJJwdq3LhuvEdhHNkvgFk8c0nw+efSsGFmFsVjyspUfcUK3XPNNWpbWKj09HQz1wXOY2IdMIs5L+dFo1Jmpn3UWLIXxWNKS6UDB6Rnn71TK1dWUePGjcxcGDiP+A2Y5ec5dG+9RXbskH72M+OXDUWjqn7mjNr/5S/Grw1I7J4FTKIj7bxTp6Tx4+0zxU0LhaSnnuqh06f59wnzmOQDzOKZS4If/ED67LPkV2u7hCWp84svKv2DD4xeF5AYDwCmEb+dV1hon4JialE8pqwspPfea64FC1gUh3nEb8AsPz9z3rmj0lJpwgRzu9QvYZWWStOnSy++6Mr1EWwMEgBz/BzU3fKLX0h79iTnTPGrKSuztH+/9O//bv7aAPEbMIvNpA5buFAqKnIngMteHNe4ceZn9RF4jAcAs4jfzvroI+mJJ9xtww9+YJ87DphE/AbM8vMz5507mjtX2rTJ3UGxZUk/+Ylri/MILspCAub4Oai74eBB6X/+x3ii2VeUlUl//rM9QQCYxMI4YBbPnIOiUenHP3an3EtMSYm0das0e7Z7bUAg+bksJOBFzHk56ze/kU6fdrcNZ89Kv/61u21A8BC/AbP8/Mx5Z1bhz3+WwmF32xCNSu+9J61c6W47EDhM8gHmRM9vfuKZc8Zzz7m7KH6xZ591uwUIGrJfALPoMzvotdfso8zcDuLhsPTUU+62AYHDeAAwi/jtnOJiKS/P/WIrJSV2Ofdjx9xtB4KF+A2Y5ec5L2/c1c6d0ooVcZdwOyPpp5Kuk1RdUk9Jy+JtSyQiPf10vJ8G4sIgATCHjHHnlJTYITP+OXXnInhZmfSXv0jnzsXbFqDyiN+AWTxzDnr6aXvsGwdHx9+lpdKaNdI778T7DUClMR4AzCJ+O2fqVOnkyXg/7WgE1+nT0uTJcX8cqDTiN2CWn+O3N+6qqCjuQbkkZUr6g6Sxkv4oKSxpsKQ18XxZSYk0Z4509Gjc7QEqy88vGcBr/FwGxrTly+1S6vHLlIMRXIcPS0uXJtIeoHIoCwmYxTPnkOJiadasuNPNMuVk9JY9F1BQEO+ngUpjPACYxZyXc557LpFPZ8rhCE7VNhjFwjhglp/jtzfuau3auAflr0uaLunXkn4n6ZuSlku6XtJP4m1Paam0ZUu8nwYqzc9lKQCvoSPtnA0bEjkFxfkIHonYbQJMIX4DZvHMOeSNN7w1/i4psecEAENim2xYGAfMIH4749w56c037ZNAK8/5CB6NSm+95f555wgO5vMAs1gYT6ZoNKFF6Fmy97d986KfVZOUI2mdpH/E86WhkLR5c9xtAiqL7BfAHDrSztm0Kd5BuZSMCF5aKm3cGG97gMrz8yAB8CKeOYds3myPeeOQlPG3ZC/Wu33eOQKDdwlgFs+cM955J5Gjw5ITwUtL7cVxwAQqvgBm+Tl+u39XH3wgHT8e98ffkNRGUq1Lft7j/P++Gc+XWhYL4zDKzy8ZwGtYGHfOhg2JzGE7H8GjUXthPP7FeqByiN+AWTxzDtm82R7zxiEp429JOnVK2rUr3k8DlcK7BDCLZBBnJDZVnZwIzhQ6TGI+DzDLz/Hb/bfI3r0JffyApMaX+XnsZx/H86WlpdLu3XG3CagsBuaAOdHzq6Y8c4kpLZU++SSRb0hKBNdnn0lnzsTbJqByiN+AOdFolFKsTtm92w7kcUhO9D4vwbkBoKJ4lwBm0Wd2xt69UlpavJ9OTgSPRAjfMIf5PMAsP/eZ3b+rU6cS+7ikqpf5ebWL/jwuJ0/G+0mg0hgkAOaww9QZCYZvJTGCO9A2oGL8vHsW8BomwhyUwFg3edFbBHAYQ/wGzGLOyxmJhUnG30h9zOcBZvk5frt/VwkORqpLulxi2OmL/jwuPv0XDm/y8+4bwGs4k8gZif/jS1oEJ4TDGOI3YA7x20EJ/DNMXvQWARzG+HmSD/AiNqM4I7F/hIy/kfpYGAfM8nOf2f27Sk9P6OONZReDuVTsZ9fF+8XVExrSA5Xi55cM4DV0pJ1RrdrV/075khbBHWgbUDHEb8Ac4reDMjLi/mjyorcI4DCG+A2YxWZSZyQ2hc74G6mP8QBglp/7zO7fVatWCX28s6Rdko5d8vMNF/15pUUiUrt28TcKqITYeYnsngXMoCPtjHBYato0kW/orCREcF17rVT1chXigCTw8yAB8Brit4PatLHHvHHorGRE7/Nat07k00CFEb8Bs3jmnNGqlXTuXLyf7qxkRPBz5wjfMIcKUoBZfo7f7t9Vs2ZSnTpxf3y4pFJJf7/oZ2ck5UvqKalZPF9aViZ17Rp3m4DK4LxEwCwm1p3Tq5e9QB4f5yN4KCT17Blve4DK8/MgAfAa4reDunaVSkvj+mhSxt+SVLOmdMMN8X4aqBSyVwGz6DM7I7Gp6qRFcKbQYQxz6IBZfj4KJb5t4k6yLKl7d+nll6XzL7fK6ClphKR/k3RIUmtJhZL2SsqNt00sjMMgJvkAs+hIO6drV2nOnHg/7XwEtyypW7d42wNUnp8HCYDXEL8d1LVrXGNvKUnjb0nq0iXRw1OBCmORDjCLZ84Z7drZZctPn7763/265ETwtDSpQ4e4Pw5UCnPogFl+3kzqjbu64w47zStORZJ+IGmSpH+SdE7SAkl94/3CKlWkW2+Nuz1AZRDUAbMoveSc22+PO+HsPGcjeGmp3SbAFCb5AHOI3w7q1CmhA0EdH3+Hw1LfuD8NVBob2wCzeOacEQ7bFdLiH344G8FDIXtjelpavO0BKoc5dMAsP895eeOuJk60s7TjVE3S7yQdkHRa0uuSBsT7ZZGINGaMlJERd3uAyiCoA2bxzDnn9tvtqqfxz3E4GsHVvLl0111xfxyoND/vngW8hvjtoOrVpfHj4z5n3NnoLXsuICsrkW8AKsXPk3yAF/HMOeeb30xkCt3ZCF5WJn3rW3F/HKg0xgOAWX6O3964q+bNpQceiHtg7qiSEum733W7FQgQgjpgFs+cc0Ih6Ykn3G6FLdYW/rXCJD8PEgCvIX477Dvfsce+bguHpYEDpZYt3W4JAoT4DZjFZlLnDBsm1a3rditstWtLI0e63QoECeMBwCw/x2/v3NUTT7g/MA+FpM6dOaAURlEWEjCLZ85ZmZlS1aput8KeVyfZDKZRFhIwh4kwh3XubNdjDYfdbUdpKRvTYRwL44BZPHPOqVpV+va33Q/f4bD02GMJncwCVBrzeYBZfp7z8k6v5N57pf793c0aLyuT/vhH966PQIpGo5KY5ANMiUajsizLt4HdtDp1pF/+MpFy6omzLOnnP5fq13evDQgmJvkAc+gzJ8Ef/pDQkWYJi0Sku++WBg92rw0IJD9nvwBeRJ/ZWT/6kVSvnnvV0izLzhb/6U/duT6Ci/EAYJaf47d37sqypOeecy/tLFaDtW9fd66PwCL7BTDLz0HdLT/8oXTrre7sbQuHpVtuYVAOd/A+Acyhz5wEt90m/fM/uzeznpYm5ee7u7sOgUT8BszimXNW3bpSbq57e9uiUenZZ6VrrnHn+gguxgOAWX6O3966q2bNXMnYLguFVNakifTrXxu/NkBQB8zyc1B3SyQiTZrkxpWjkqKaNMmeWwdM430CmEPpxCT5z/+Urr/enZqs//M/9rUBw/xcFhLwIp455w0ZIo0daz58h0JlGjkyqqFDzV4XkJhDB0zz85yX9+4qO1t6/HFju8ajoZDOpaVpxtix+vzsWSPXBC5GUAfM8nNQd1P79lJhoemkL0uPPLJA6em7TV4UuIBSrIA59JmTJD1dmj9fysgwNrselbTl1lu1ql27CyUxAZOI34BZPHPJ8cwzUseO5hbHw+GoGjQ4rAEDXtC5c+fMXBS4CBtlAbP8HL+9d1eWJT39tDR+fPKvFQ7LSk/X6blz9el11yk3N1cff/xx8q8LXISgDpjFwnjyjBkj/e1v5hbH//SnEg0dWqypU6fqzTffNHNR4CJkvwDmsDCeRB06SMuWSTVqJH923bKkRx/V8Sef1KsrVmjhwoUX/t0CpjAeAMzimUuOmjXt8H3TTckP3+GwdOONlubOPaGDB99VUVGRTp48mdyLApfgXQKY5ednzpt3FQ7bZ419//v275PxDz8clurXl1avVu0BA5Sdna06deqooKBA7733nvPXA66AST7ALBaykuuxx6QpU6QqVZJz5ngkYv8qKpKeeCKiUaNG6dZbb9XcuXO1cuVKMs9glJ8HCYDX0GdOsu7dpTVrpAYNkjO7Hvv39p3vyJoyRXf266cHH3xQW7Zs0YwZM3SW6m0wiPgNmMUzlzznp7bVu3fyrmFZdjfhtdeknj1vUGZmpj7//HPl5ubqyJEjybswcAneJYBZfp5D9+6bJBSS/vd/pYULnR2cx16eY8ZIO3dKnTtLkmrUqKGJEyeqZcuWmjZtmt544w1nrgdcRWwRh8AOmOHnMjBeMXq0tG2b1KWLs99rWVKnTtLWrV8WlgmFQnrggQd09913a8WKFVqwYAGZZzCGgTlgDn1mA265Rdqx4+Ig68z3xjalz5snPfXUhe+99dZbNWbMGO3Zs0dFRUU6ceKEM9cDroL4DZjFM5dcdepIK1ZITz7p7Ab12Kb0X//aXnyvV8/++XXXXaecnBxJUl5enj766CNnLghcBfN5gFl+jt/ev6vBg+0F7IkT7RnxeBfIY59r1MgekBcVSXXrfuWvpKWladSoUerSpYvmzZunFStWkHmGpCP7BTDLz0HdS9q2ldaulX73O/v4UsuKr8R67HPVq9sD8vXr7fPMv/p3LPXt21cPPfSQ3nzzTU2fPp3MMxjB+wQwhz6zIXXq2NXbFi6UrrvO/lkiY3DLksaOld59Vxoy5Gt/pXXr1srMzNTRo0eVl5dH5hmM8HP2C+A1bGwzIxyWfvhDe4N6z572z+JdII99rls3e1P6T3/69e+qW7eucnJyVLduXRUWFlJ9FUYQvwGz/DznlRp3VaeOlJsr7dsn/fu/27vNJTvql/cvJi3ty/9/553Siy/a33GZAXlMKBTS/fffr379+mnlypWaP38+mWdIKib5ALP8HNS9JhyWfvQj6eBB6S9/kdq1s39uWeUP0iORL8N7mzZ2ctnBg5cfkF+sc+fOGj16tPbt26fCwkIyz5B07FgHzIn1mZkMM2TwYGnvXntTeb9+X/784jH2pUKhLxfR69WT/vVf7e8oLPzapvSLxTLPLMtSbm4umWdIOuI3YA7x26y2be2TUTZutAvAVKli/zwSKX+jemycXaWKNG6c9Prr0rp1X9+UfrH09HRNmDBBN9xwg6ZNm6YtW7Y4dyPAZTCfB5jl52cuCad/JlGzZtJ//If0f/6PXSNm0yb714YN0uHD0rlz9mC8WjXpppvsLXLdukl9+0qtWlX4MpZl6Y477lCtWrU0b948FRcXa/jw4aoS600ADmJhHDDLz0Hdq2rWlL71Lenxx6XNm+0B9ubNdvb33r3SmTP236taVWre3D4frWtXqVcv+yyzysyhxDLPpk6dqtzcXI0bN071YjXfAIfxPgHMoc/sgnDY3lQ+ZIi0Z4+0cuWXAXzHDunUKamszF4sv+aaL8ff3bpJd91lB/YKqlu3rrKzszVt2jQVFhZq+PDhatOmTfLuDYFG/AbMIX67o1s3KS9P+v3vpVdescP3xo3Sli3S8eNSSYm9GJ6RYR+B1r27PQbv1+/LfLSKSEtL08iRI/XSSy9p/vz5OnbsmO688042QiApiN+AWdFo1Lfv89RaGI+pUkXq39/+dbFoNL46rVfQqVMnZWRkaObMmSosLNTo0aOVkZHh2PcDErtnAdPoSLvHsr6cL79Y7NQSp16DjRs3Vk5OjiZPnqzc3FyNHj1aTZs2debLgYtQyg0wh4l1l7Vsaf/KzPzqzx0cg8cyz1544QVNnz5d999/v7p27erIdwMXYzwAmEP8dlfdutLw4favi5WVlV+EtTJCoZAGDx6sWrVqafny5friiy/0wAMPKBzvUSzAFRC/AbP8/Mz5666SMDHZqlUrZWZm6tixY8rLy9Nnn33m+DUQbJy3BJjFQpb3xHv+eHnq1Kmj7Oxs1a9fX4WFhdq1a5ezF0DgEb8Bs5hY9yiHA3haWppGjBihrl27asGCBXr11VcvvG8Bp/h5kg/wGuK3Nzn9ryNWffXhhx/Wtm3bNH36dJ09e9bZiyDwOAoFMMvPfWZ/3pXDYpln4XBYeXl5+vDDD91uEnyEQQJgFh3p4EhPT9f48ePVunVrTZ8+XZs3b3a7SfAR4jdgFptRgiOWeXbPPfdo1apVmjdvnkpLS91uFnyEjbKAOcTvYOnUqZPGjBmj/fv3q6CgQMXFxW43CT7i50U6wIv8/Mz5866S4NLMs3fffdftJsEnmFgHzPJzUMfXxTLPunXrpgULFmj58uVknsERxG/ALI4fChbLstSnTx898sgjZJ7BcYwHAHOI38HTqlUrZWVl6fjx48rNzaX6KhzDxjbALD8/c4wEKqF69eoaP368brzxRs2YMUObNm1yu0nwASbWAbOYCAueUCikQYMG6d5779Xq1as1d+5cMs+QMOI3YBbPXDB17NhRY8eOJfMMjqKCFGAO8TuYGjVqpJycHEUiEeXm5uof//iH202CDzCfB5jl52fOn3eVRGlpaRo+fLi6d++uhQsX6pVXXiHzDAlhkACYxURYMFmWpdtvv11Dhw7VW2+9pWnTpunMmTNuNwspjPgNmMUzF1w33HCDsrKyVFxcrNzcXH366aduNwkpzs+TfIDXEL+DK1Z9tUGDBioqKtLOnTvdbhJSHPEbMMvPc+j+vKskC4VCGjhwoO677z6tWbOGzDMkhLJSgFl+LgODq7vllls0btw4ffjhhyooKNDx48fdbhJSFPEbMIuJ9WCLZZ6lpaUpLy+PzDMkhPEAYA7xO9hi1VfbtGmjmTNnauPGjW43CSmMhXHALD8/c/68KwMsy9Jtt912IfNs6tSpZJ4hLrGKA359yQBe4+egjopp2bKlsrKydOLECTLPEDfiN2BW7JljMSu4ateuraysLDVs2FBFRUXasWOH201CimI8AJhDnxmRSETDhw9Xjx49tGjRIr388stUX0Vc/Jy9CniRn/vM/rwrg2KZZx999BGZZ4gLu2cBs/wc1FFx1157rXJyclSlShXl5eVp//79bjcJKYb4DZhF/IZkZ56NGzdObdu21cyZM/X666+73SSkIN4ngDn0mSHZGxsHDhyo/v3767XXXtOLL75I9VVUGvEbMMvPz5w/78qwSzPPDh8+7HaTkEIYJABm+Tmoo3Jq166t7OxsMs8QF+I3YBbxGzGRSETDhg1Tr1699NJLL5F5hkrjfQKYw/FDuFjv3r01bNgwvfPOO1RfRaVxFApglp+fOUYCDrn22mv1jW98Q1WrViXzDJXCIAEwi9JLuFi1atU0btw4tWvXTjNnztSGDRvcbhJSBAvjgFksZOFilmVpwIABFzLP5syZQ+YZKozxAGAOfWZc6uabb75QfTU/P5/qq6gw4jdglp+fOX/elUtq1aqlrKwsNWrUSEVFRdq+fbvbTUIKiO28YWEcMIOJdVwqlnnWu3dvLV68WMuWLSPzDFfFxjbALOI3Lqd3794aPny4tm/frilTpuj06dNuNwkpwM/ZL4DXsDCOy2nRooWys7N16tQpqq+iwhgPAGb5+Znz5125qFq1aho7dqxuuukmPf/882Se4ar8/IIBvIiJMFyOZVnq37+/BgwYoLVr12rOnDkqKSlxu1nwMCb5ALOI37iSDh06aNy4cTpw4IAKCgp07Ngxt5sEj2MMDphDnxlX0rBhQ+Xk5Fyovrpv3z63mwSPI34DZvn5mfPnXbksEolo6NChFzLPli5dSuYZrsjPJSkAL/JzUEfievXqReYZKiTWt+N9AphBnxnladGihbKysi5knh06dMjtJsHDGA8A5tBnRnkurr46adIkqq+iXMRvwCw/P3P+vCsPiGWeDRw4UOvWrdMLL7xA5hkui+wXwCw/B3U4o0OHDho/frwOHjyo/Px8Ms9wWWS/AGYRv3E1scyz6tWrKz8/X3v37nW7SfAo3ieAOfSZcTWXVl9dv369202CRzGHDpgTjUZ9vTndn3flIT179tSIESO0Y8cOMs9wWQzKAbN45lAR119/vbKzs3XmzBkyz3BZTPIBZhG/URG1atVSZmamGjdurMmTJ+udd95xu0nwID9P8gFeE+szs5iF8sSqr952221asmSJlixZQvVVfA3xGzAn9g72a/zmTWJA+/btNWHChAuZZ1988YXbTYKHMMkHmBWNRn0b1OGsBg0aXMg8y8vLI/MMX8HCOGAWfWZUVCzzrH379po1a5bWrVvndpPgMbxPAHPoM6OiLMvSfffdp0GDBmn9+vWaPXs21VfxFcRvwBy/x29/3pUHNW/e/CuZZ5988onbTYJHENQBs3jmUBk1a9ZUVlaWmjRposmTJ+vtt992u0nwCLJfALMonYjKCIfDeuSRR3T77bdr6dKlWrx4MZlnuID3CWCO3yfW4bwePXpo5MiRevfddzV58mSdOnXK7SbBI5jPA8zxe/z25115VCzzrEaNGsrPz9eePXvcbhI8gDIwgFl0pFFZVatW1ZgxY9ShQwfNnj1ba9euZXIdF/4b4H0CmEH8RmVZlqV7771XgwYN0oYNGzRr1iwyz+D78xIBr/H7xDqS46abbtL48eN16NAhqq/iAsYDgDl+j9/+vCsPq1mzpjIzMy9knr311ltuNwkuI6gDZvHMIR7hcFgPP/yw+vTpo2XLlmnJkiUXOokIJr8PEgCvYSEL8erRo4dGjRqlXbt2kXkGNrYBhvHMIV6x6qvnzp2j+iokMZ8HmOT3+O3Pu/K4WObZLbfcohdeeEGvvfYamWcBRhk3wCyeOcTLsizdc889Gjx4sF5//XUyzwKOhXHALCbCkIh27dppwoQJOnTokPLy8sg8CzDiN2AWxw8hEddccw3VV3EB83mAOX6P34wEXBIOh/XQQw/pjjvu0Msvv6zFixeTeRZQTPIBZvHMIVHdu3fXyJEj9d5772nSpElkngUUE+uAWcRvJKpZs2bKzs5WSUmJnnvuOR08eNDtJsEFxG/ALJ45JCojI0OZmZlq2rQp1VcDjgpSgDl+j9/+vKsUYVmW+vXrp/vvv18bN27UrFmzdO7cObebBcOY5APMoiMNJ7Rr104TJ07U4cOHlZeXp6NHj7rdJBjm90EC4DX0meGEWOZZzZo1lZ+frw8++MDtJsEw4jdgFs8cnFC1alWNHj1aHTt2pPpqgDEeAMzxe/z2512lmG7dumnUqFFkngUUQR0wi2cOTmnatKlycnJUUlKi3NxcMs8Cxu9lpQCviUajPG9wRCzzrHnz5poyZYq2bdvmdpNgEPEbMMvvE+swJxwO68EHH1Tfvn318ssv66WXXqL6asBQSh0wx+/x2593lYLatm2riRMn6rPPPiPzLGDIXgXMYmEcTqpfv/5XMs/ef/99t5sEQ2IZCrxPADOI33BSlSpV9Oijj6pjx46aM2eO1qxZQ+ZZQBC/AbNizxyLWXCCZVm6++67df/992vTpk16/vnnqb4aIIwHAHP83mf2512lqKZNmyo7O1ulpaXKzc3VgQMH3G4SDGC3G2AWHWk47eLMs6lTp2rr1q1uNwkG+H33LOA1xG847eLMs1deeUWLFi0i8ywAiN+AWbE5L+a94KRY9dXdu3dr0qRJOnnypNtNggGMBwBz/N5n9uddpbD69esrOztbtWrVUkFBAZlnAUBQB8xiMwqS4eLMsxdffFGrV68m88zn/D5IALyGPjOSIZZ59sADD2jz5s1kngUA8Rswi/iNZGnbtq0yMzMvVF/9/PPP3W4Skoz3CWCO348f4k3iQRkZGZo4caKuv/56TZ06VW+++abbTUISUUodMItnDskSyzy78847tXz5cjLPfI6JdcAs4jeSqWvXrnr00Uf1/vvvq6ioiMwzHyN+A2axkIVkatKkiXJyclRWVkb11QBgPACY4/c+sz/vygdimWedOnXS3LlztWrVKjLPfIpBAmAWzxySybIs3XXXXRoyZIg2b96smTNnknnmU37fPQt4DfEbydamTRtNnDhRR44cIfPMx4jfgFnEbyRbvXr1lJOTo9q1a6ugoEC7d+92u0lIEipAAuawMA7XhEIhDRkyRHfddZdeffVVLVy4kMwzH2KQAJjFMwcTunTpotGjR+uDDz4g88yneJcAZjERBhNimWfRaFS5ubn6+OOP3W4SHOb3ST7Aa4jfMKFGjRqaOHGiWrRoQfVVH2MMDpjj9z6zP+/KRyzL0p133qkHH3xQW7Zs0YwZM3T27Fm3mwUHEdQBs3jmYMqNN96ozMxMff7558rNzdWRI0fcbhIcRBk3wCziN0ypV6+esrOzVadOHRUUFOi9995zu0lwUKwSH+8TwAz6zDClSpUqGjVqlG699VbNnTtXK1eupPqqzzAeAMzxe5/Zn3flQ7feeqvGjBmjPXv2qKioSCdOnHC7SXAIu2cBs+hIw6TrrrtOOTk5kqS8vDx99NFHLrcITiF+A2YRv2FSLPOsZcuWmjZtmt544w23mwSH+D37BfAa4jdMCoVCeuCBB3T33XdrxYoVWrBgAdVXfYT3CWCO3/vM/rwrn2rdurUyMzN19OhR5eXlkXnmE+yeBcyJ7XZjMQsm1a1bVzk5Oapbt64KCwvJPPMJBuWAWTxzMC0tLU2jRo1Sly5dNG/ePDLPfMLvk3yA1xC/YZplWerbt68eeughvfnmm1Rf9RHm0AFzYn1mv86h8yZJMbHMM8uylJubS+aZDzBIAMxhIgxuSU9P14QJE3TDDTdo2rRp2rJli9tNQoKI34BZTITBDaFQSPfff7/69etH5plPMB4AzKLPDLd07txZo0eP1t69e6m+6hO8TwBz/N5n9udd+VzdunWVnZ2tevXqqbCwULt27XK7SUgAQR0wx+9BHd6WlpamkSNHqmvXrpo/f75WrFhB5lkKI34DZnF8AdxiWZbuuOOOC5ln06dPJ/Mshfk9+wXwGuI33HRx9dXc3Fyqr6Y43ieAOX6fQ/fnXQVALPOsVatWmj59OplnKYyJdcAcvwd1eF8oFNLgwYPVr18/rVy5UvPnz1dpaanbzUIcyF4FzKLPDLd17txZY8aM0b59+1RYWEjmWYqKbUrkfQKYQfyG2xo3bqycnByFQiGqr6Y43ieAOX6fQ/fnXQVEWlqaRowYcSHz7NVXXyXzLAUR1AFzmAiDF8Qyzx5++GFt3bqVzLMURfwGzOKZgxe0atVKmZmZOnbsmHJzc/XZZ5+53SRUkt8n+QCvYTMpvCBWfbV+/foqKCig+moKYj4PMMvvz5w/7ypAYpln99xzj1atWqV58+aReZZiKAMDmEPpRHhJp06dNGbMGO3fv18FBQUqLi52u0moBOI3YBbPHLwilnkWDoeVl5enDz/80O0moRJYGAfMYmMbvCI9PV3jx49X69atNX36dG3evNntJqESiN+AWX6fQ+dN4gOWZalPnz565JFHtG3bNjLPUgy7ZwFz6EjDa1q1aqWsrCwdP36czLMUwyQfYBZ9ZnhJnTp1LmSeFRYW6t1333W7SaggxgOAWfSZ4SWx6qvdunXTggULtHz5cqqvpgjiN2CW3585f95VQHXs2FFjx44l8yzFMEgAzPF7UEdqatSokXJychSJRJSbm6t//OMfbjcJFUD8BszimYPXVK9eXePHj9eNN96oGTNmaNOmTW43CRXAeAAwi/gNrwmFQho0aJDuvfderV69WnPnzqX6agogfgNm+f2Z8+ddBdgNN9ygrKwsFRcXKzc3V59++qnbTcJVUBYSMMfvQR2pK5Z51qBBAxUVFWnnzp1uNwlXwSQfYBbPHLwoLS1Nw4cPV/fu3bVw4UK98sorZJ55nN/LQgJeE41Ged7gOZZl6fbbb9fQoUP11ltvadq0aTpz5ozbzUI5iN+AWX6fQ/fnXQVcLPMsLS1NeXl5ZJ55HJN8gDmxiUqeOXhRLPOsTZs2mjlzpjZu3Oh2k1AOyjoDZtFnhleFQiENHDhQ9913n9asWUPmmccxHgDMIn7Dy2655RaNGzdOH374oQoKCnT8+HG3m4QrIH4DZvn9mfPnXUG1a9dWVlaWGjZsqKKiIu3YscPtJuEKGCQA5vh9txtSXyQS0fDhw9WjRw8tWrRIL7/8MplnHkXFF8As+szwMsuydNttt13IPJs6dSqZZx7FeAAwi/gNr2vZsqWysrJ04sQJqq96GPEbMMvvVRp4k/hY9erVNW7cOLVt21YzZ87U66+/7naTcBkMEgBz/B7U4Q+WZWngwIHq37+/XnvtNb344otknnkQ8Rswi80oSAWxzLOPPvqIzDOPYmIdMIs+M1LBtddeq5ycHFWpUkV5eXnav3+/203CJYjfgFl+j9/+vTNIsjPPhg0bpl69eumll14i88yDKMUKmENHGqmkd+/eGjZsmN555x0yzzyI+A2YxTOHVHFp5tnhw4fdbhIuwngAMIv4jVRRu3ZtZWdnq2HDhpo0aRLVVz2G+A2YxcI4Up5lWRowYMCFzLM5c+aQeeYhZL8A5tCRRqq5+eabL2Se5efnk3nmIX4fJABewzOHVHLttdfqG9/4hqpWrUrmmcdQQQowi/iNVFKtWjWqr3oU8Rswy+/x2793hq/p3bu3hg8fru3bt2vKlCk6ffq0202C/P+SAbyEhXGkohYtWig7O1unTp0i88xDiN+AWTxzSDW1atVSVlaWGjVqpKKiIm3fvt3tJkF29qplWUysA4aQDIJUc2n11WXLllF91QNi/w4YDwBm+D1+8yYJmA4dOmjcuHE6cOCACgoKdOzYMbebFHhM8gHm0JFGqmrYsKFycnIuZJ7t27fP7SYFHvEbMItnDqmoWrVqGjt2rG666SY9//zz2rBhg9tNCjzeJYBZPHNIRbHqqwMGDNDatWs1Z84clZSUuN2sQCPRBTDL70eh+PfOcEUtWrRQVlbWhcyzQ4cOud2kQGOQAJhDRxqp7OLMs0mTJpF55jK/754FvIY+M1JVJBLR0KFD1bt3by1evFhLly4l88xFxG/ALOI3UlmvXr2ovuoRzOcBZvk9fvv3zlCuWOZZ9erVlZ+fr71797rdpMDy++4bwEs4kwip7tLMs/Xr17vdpMAifgPmRKPRC+WPgVRkWZb69++vgQMHat26dXrhhRfIPHOJ3yf5AK/hmUOq69Chg8aPH6+DBw8qPz+f6qsuYWEcMMvv8du/d4arqlWrljIzM9W4cWNNnjxZ77zzjttNCiS/v2QAL6EjDT+IZZ7ddtttWrJkiZYsWULmmQuI34A5HIUCv+jZs6dGjBihHTt2kHnmEuI3YBabSeEH119/vbKzs3XmzBmqr7qE+TzALL/3mf17Z6iQWOZZ+/btNWvWLK1bt87tJgUOpdwAc+hIwy8sy9J9992nQYMGaf369Zo9ezaZZ4b5fZAAeAnxG37Svn17TZgw4ULm2RdffOF2kwKF+A2YxZwX/KJBgwYXqq/m5eVRfdUwKkACZvk9fjMagMLhsB555BHdfvvtWrp0qRYvXkzmmUEMzAFzmFiH3/To0UMjR47Uu+++q8mTJ+vUqVNuNykwiN+AOcRv+E3z5s2/knn2ySefuN2kwCB7FTCLPjP8pGbNmsrKylKTJk00efJkvf322243KTCoIAWY5ff47d87Q6VYlqV7771XgwYN0oYNG8g8MyR2XqKfXzKAl9CRhh/ddNNNGj9+vA4dOkTmmUF+HyQAXkL8hh/FMs9q1Kih/Px87dmzx+0mBQLxGzCLZw5+U7VqVY0ZM0YdOnTQ7Nmzqb5qCBtlAbP8vmbl3ztDXHr06KFRo0aReWYIk3yAWZRegl/FMs/OnTtH5pkhfi8rBXgJ8Rt+VbNmTWVmZqpJkyaaMmUKmWcGEL8Bs3jm4EfhcFgPP/yw+vTpQ/VVQ1gYB8zy+8Y2/94Z4tauXTtNmDCBzDMDCOqAWTxz8LNrrrmGzDOD/L57FvAS4jf8LJZ5dvPNN2v27Nlau3Ytk+tJ5PdJPsBr6DPDryzL0j333KPBgwfr9ddf16xZs6i+mkSMBwCz/N5n9u+dISHNmjX7SubZwYMH3W6SLxHUAbN45uB3GRkZyszMVNOmTTV58mS99dZbbjfJt/w+SAC8hPgNvwuHw3rooYd0xx13aNmyZVq8ePGF/+7hLOI3YBbPHPyue/fuGjlypHbt2qVJkyZRfTVJGA8AZvk9fvv3zpCwWOZZRkaG8vPz9cEHH7jdJN+hLCRgFh1pBEHVqlU1evRo3XLLLXrhhRf02muvkXmWBJSFBMwhfiMILMtSv379dP/992vjxo2aNWuWzp0753azfMfvk3yA1/DMIQhi1VcPHz6svLw8HT161O0m+Q5z6IBZfp/zomeCcmVkZGjixIlq1qyZpkyZom3btrndJF/hjHHALJ45BMXFmWcvv/yyXnrpJTLPHMYkH2AO8RtB0q1bN40aNUrvvfcemWdJQFlnwCz6zAiKZs2aKScnRyUlJVRfTQLGA4BZfu8z+/fO4JhY5lnHjh01Z84crVmzhswzh5D9ApjFDlMEycWZZ5s2bdLzzz9P5pmDmOQDzKHPjKBp27atJk6cqM8++4zMM4f5PfsF8Br6zAiS+vXrKycnRzVr1lR+fr7ef/99t5vkG4wHALP8Hr/9e2dwVDgc1oMPPqi+ffvqlVde0aJFi8g8cwBBHTArNhHGZBiCJJZ5tnv3bk2aNEknT550u0m+4PdBAuAlbGxDEDVt2lTZ2dkqLS1Vbm6uDhw44HaTfIH4DZjFZhQETUZGhjIzM9W8eXNNnTpVW7dudbtJvsAcOmCW3/vM/r0zOM6yLN1999164IEHtHnzZjLPHEBQB8zye1AHrqRt27bKzMy8kHn2+eefu92klOf3slKAl9BnRlDVr19f2dnZqlWrlgoKCsg8cwDjAcAs+swIoipVqujRRx9Vx44d9eKLL2r16tVUX00Q4wHALL/Hb//eGZKma9euevTRR/X++++rqKiIzLMEkP0CmMVEGIKsSZMmysnJUVlZGZlnDiD7BTCHiTAEWUZGhiZOnKjrr79eU6dO1Ztvvul2k1Ka3yf5AK9hDI6gilVfvfPOO7V8+XKqryaIOXTALL/Hb//eGZKqTZs2mjhxoo4cOULmWQJiuwX9/JIBvISFLARdvXr1lJOTo9q1a6ugoEC7d+92u0kpy++DBMBLWBhH0MUyzzp16qS5c+dq1apVZJ7FifgNmMUzhyCzLEt33XWXhgwZos2bN2vmzJlUX41TrN/DnB5ght/n0OmZIG6xzLNoNKrc3Fx9/PHHbjcp5TDJB5hFhggg1ahRQxMnTlSLFi00bdo0Ms/ixCQfYA6bSQH7v/8hQ4borrvu0quvvqqFCxeSeRYH4jdgFs8cIHXp0kWjR4/WBx98QPXVOMXeJX5eqAO8xO/x2793BiPq1aun7Oxs1alTh8yzOLAwDpjl96AOVFSVKlU0atQode7cmcyzOPE+AcyhzwzYLMvSnXfeqQcffFBbtmzRjBkzyDyrJL9nvwBeQ58ZsN14443KzMzU559/rtzcXKqvVhLxGzDL7/Hbv3cGY2KZZy1bttTUqVP1xhtvuN2klMEkH2CW34M6UBmhUEgPPPCA7r77br366qtasGABmWeVQAUKwBzOFAS+6tZbb9WYMWO0Z88eFRYW6sSJE243KWUQvwGzWMwCvnTdddcpJydHkqi+WknM5wFm+f2Z8++dwai0tDSNGjVKXbp00bx587Ry5UoyzyqAhXHALL8HdaCyLMtS37599dBDD+nNN9/UjBkzdPbsWbeblRJ4nwDm0GcGvq5169bKzMzU0aNHlZeXpyNHjrjdpJRA/AbM4SgU4Ovq1q2rnJwc1a1bVwUFBXrvvffcblJKIH4DZvl9M6l/7wzGhUIh3X///erXr59WrFhB5lkFkP0CmMVudeDyOnfurNGjR2vPnj0qKioi86wCeJ8A5rAwDlxeLPPMsizl5ubqo48+crtJnsfEOmAO8Ru4vPT0dE2YMEE33HCDpk2bpi1btrjdJM8jfgNm+X3Oi7cJHGVZlu64444LmWfTp08n86wc7J4FzKIjDVxZ69atlZWVpaNHjyo3N5fMs6vgfQKYw8Q6cGV169ZVdna26tWrp8LCQu3atcvtJnka8Rswh/gNXFlaWppGjhypLl26aP78+VqxYgXVV8vh9+xVwGv83mf2753BVZ07d9aYMWO0b98+zjwrB4MEwCw60kD5GjdurJycHIVCITLPrsLvgwTAS9hMCpQvlnnWqlUrTZ8+ncyzchC/AXOI30D5Lq6+unLlSs2fP1+lpaVuN8uTiN+AWX5/5vx7Z3Bdq1atlJmZqWPHjik3N1efffaZ203yHBbGAbP8HtQBJ8Qyz+rXr6+CggIyzy6DST7ALI4fAq4uLS1NI0aMUNeuXTV//ny9+uqrZJ5dht/LQgJeQvwGri5WffXhhx/W1q1bqb56BcRvwCy/P3PM5iGpYpln4XBYeXl5+vDDD91ukqewMA6YxcI4UDHp6ekaP368WrdurenTp2vz5s1uN8lTiN+AWTxzQMWEQiENHjxY99xzj1atWqV58+aReXYJKkgB5hC/gYrr1KmTxowZo/3796ugoEDFxcVuN8lTmM8DzPJ7n9m/dwbPqFOnzoXMs8LCQr377rtuN8kzGCQAZtGRBioulnnWrVs3LViwQMuXLyfz7DziN2AWzxxQcZZlqU+fPnrkkUe0bds2Ms8uwXgAMIf4DVROq1atlJWVpePHj1N99RLEb8Asvz9z/r0zeEr16tU1fvx43XjjjZoxY4Y2bdrkdpM8gbJSgFl+LwMDOC0UCmnQoEG69957tXr1as2dO5fMMxG/AdOYWAcqr2PHjho7diyZZ5dgPACYQ/wGKq9Ro0bKyclRJBJRbm6u/vGPf7jdJE/w+yId4DV+f+b8e2fwnLS0NA0fPlzdu3fXwoULyTwTZ5QCpvm9DAyQDJZl6fbbb9fQoUP11ltvadq0aTpz5ozbzXIV8Rswi2cOiM8NN9ygrKwsFRcXKzc3V59++qnbTXKd3yf5AC8hfgPxiVVfbdCggYqKirRz5063m+Q65vMAs/zeZ/bvncGTQqGQBg4cqPvuu4/MM7F7FjDN70EdSKZbbrlF48aN04cffqjCwsJAZ54RvwGzeOaA+MUyz9LS0pSXlxf4zDPGA4A5xG8gfrHqq23atNHMmTO1ceNGt5vkKiq+AGb5vc/s3zuDZ1mWpdtuu+1C5tnUqVMDm3nGIAEwy+9BHUi2li1bknkm4jdgGscXAImpXbu2srKy1LBhw8BnnjEeAMwhfgOJiUQiGj58uHr06KFFixbplVdeCWz1VeI3YJbfN6PwNoFrYplnH330kQoKCnT8+HG3m2QcE+uAWZReAhJ37bXXfiXzbP/+/W43yTjiN2AWE2FA4qpXr65x48apbdu2gc48YzwAmEOfGUicZVkaOHCg+vfvrzVr1ujFF18MZPVVxgOAWX7vM/v3zpASYplnJ06cUG5urg4fPux2k4xi9yxgFh1pwBm1a9dWdna2GjZsqEmTJmnHjh1uN8ko4jdgFvEbcEYkEtGwYcPUs2dPLVq0SC+//HLgMs/8nv0CeAkL44BzevfurWHDhumdd94JZPVVvy/SAV7j9zG4f+8MKSOWeValSpXAZZ7FJiH8/JIBvISJMMA51apV+0rm2euvv+52k4whfgNmEb8B51iWpQEDBqh///567bXXNGfOnEBlnvl9kg/wEhbGAWfdfPPNF6qv5ufnB6r6KvEbMMvvz5x/7wwpJZZ51qhRIxUVFWn79u1uN8mI2CQfE32AGX4P6oBpscyzXr166aWXXtKyZcsCkXnGJB9gFhkigPN69+6t4cOHa/v27ZoyZYpOnz7tdpOMYDwAmMNmUsB5LVq0UHZ2tk6dOhWo6qvEb8Asvz9z/r0zpJxq1app7Nixuummm/T8889rw4YNbjcp6ch+Aczye1AH3BDLPBswYIDWrl2rOXPmqKSkxO1mJRUL44BZxG8gOTp06KBx48bpwIEDKigo0LFjx9xuUtLxPgHMoc8MJEfDhg2Vk5OjqlWrKi8vT/v27XO7SUnHHDpglt/7zP69M6SkSCSioUOHqnfv3lq8eLGWLl3q68wzv79gAK/hmQOSp1evXoHJPGOSDzCL+A0kT4sWLZSVlXUh8+zQoUNuNympqEABmBPrM7OYBTivVq1aysrKUqNGjTRp0iTfV18lfgNm+X0zCm8TeI5lWerfv78GDhyodevW6YUXXvBt5hmTfIBZdKSB5OrQoYPGjx+vgwcPKj8/37eZZyyMA2bRZwaSK5Z5Vr16deXn52vv3r1uNylpeJ8A5tBnBpLr0uqr69evd7tJSUP8BsyJRqO+n0P3750h5fXs2VMjRozQjh07fJt5RlAHzPL7bjfAC66//nplZ2frzJkzvs08I/sFMIv4DSRfrVq1lJmZqcaNG2vy5Ml655133G5SUvA+AcxhYRxIvlj11dtuu01LlizxbfVV5tABc2LvED8/c/69M/hC+/btNWHCBN9mnvl95w3gNXSkATMaNGhwIfMsLy/Pd5lnQRgkAF5C/AbMiGWetW/fXrNmzfJl5hnvE8AcFsYBMyzL0n333adBgwb5tvoq8RswJwjx2793Bt9o3ry5bzPPCOqAWTxzgDk1a9ZUVlaWmjRposmTJ+vtt992u0mOCcIgAfASNpMC5oTDYT3yyCO6/fbbtWTJEi1ZssRXmWeMBwBz2EwKmNWjRw+NHDlSO3fu1OTJk31VfZX4DZgThPjt3zuDr8Qyz9LT05WXl6c9e/a43SRHUMYNMItnDjCratWqGjNmjDp06KDZs2dr3bp1bjfJESyMA2YxEQaYZVmW7r33Xg0aNEjr16/X7NmzfZF5FoTzEgEv4fghwLybbrpJ48eP16FDh5SXl6cvvvjC7SY5gvk8wJwgxG9GA0gZNWvWVGZmppo0aaIpU6b4IvOMST7ALCbCAPPC4bAefvhh9enTR0uXLtXixYtTPvOMhXHALPrMgDt69OihUaNG6d1339XkyZN16tQpt5uUkCBkvwBeQp8ZcEes+uq5c+eUm5urTz75xO0mJYz5PMCcIMRv/94ZfCmWeXbzzTdr9uzZWrt2bUpPrjPJB5jFMwe4w7Is3XPPPRo8eLBef/11zZo1K6Uzz4KwexbwEuI34J527dppwoQJOnTokPLz81M684z4DZgVhIl1wKuuueYa5eTkqEaNGsrPz0/56qtkjAPmBCF++/fO4FvhcFgPPfSQ7rjjDi1btkyLFy++8LCmGib5ALN45gB3de/eXSNHjtSuXbs0adKklM08C8IgAfASJsIAdzVr1uwrmWcHDx50u0lxIX4DZvHMAe7KyMhQZmammjZtqsmTJ+utt95yu0lxYz4PMCcI8du/dwZfsyxL/fr10/3336+NGzdq1qxZOnfunNvNqjTKwABm0ZEG3BfLPDt8+LDy8vJ09OhRt5tUaZRiBcyizwy4L5Z5lpGRofz8fH3wwQduN6nSiN+AWTxzgPuqVq2q0aNH65ZbbtELL7yg1157LSWrrzKfB5gThPjt3ztDIHTr1k2jRo3Se++9l5KZZ2S/AGbRkQa8oVmzZsrJyVFJSUlKZp4FYfcs4CXEb8AbMjIyNHHiRDVr1kxTpkzRtm3b3G5SpRC/AbN45gBvuLj66ssvv6yXXnop5aqvMh4AzAlC/PbvnSEw2rZtq4kTJ+qzzz5LucwzgjpgFptRAO+oX7++cnJyVLNmTeXn5+v99993u0kVFoRBAuAl9JkB74hlnnXs2FFz5szRmjVrUibzjPgNmBV75hiDA+67uPrqpk2b9Pzzz6dU9VXGA4A5QYjfvE3gC02bNlV2drZKS0uVm5urAwcOuN2kCiGoA2ZRihXwltiZZ82bN9fUqVO1detWt5tUIUysA2YRvwFvCYfDevDBB9W3b1+98sorWrRoUUpknhG/AbNiG9P9PLEOpJpY9dXdu3dr0qRJOnnypNtNqhDGA4A5Qegz+/fOEDj169dXdna2atWqpYKCgpTIPGNhHDCLZw7wnipVqujRRx9Vx44d9eKLL2r16tWezzwLwu5ZwEuI34D3WJalu+++Ww888IA2b96cEplnxG/ALOI34E1t27ZVZmZmSlVfpQIkYA4L40CKiZ15dv3116dE5hm73QCzGJgD3hTLPLvzzju1fPlyz2eexRbueZ8AZjARBnhX165d9eijj+r9999XUVGRpzPPiN+AWcRvwLuaNGminJwclZWVpUT1VebzAHNYGAdSUCzzrFOnTp7PPCOoA2bxzAHeZVmW7rrrLg0ZMkSbN2/WzJkzPZt5RsYZYBbxG/C2Nm3aaOLEiTpy5Ijy8vL0+eefu92kywrCJB/gJSSDAN5Wr1495eTkXKi+unv3brebdEWMBwBzgrCZ1L93hkALhUIaMmSI7rrrLi1fvlwLFy70ZOYZu2cBs3jmAO/r0qWLRo8erQ8++MCzmWeclwiYxUQY4H2xzLNoNKrc3Fx9/PHHbjfpa1gYB8wifgPeV6NGDU2cOFEtWrTQtGnT9Oabb7rdpMvifQKYE4RkEN4m8C3LsnTnnXfqwQcf1JYtWzRjxgzPZZ6xexYwi440kBpuvPFGZWZm6vPPP1dubq7nMs94lwBm8cwBqaFevXrKzs5WnTp1PJl5xsI4YBbxG0gNVapU0ahRo9S5c2fNnTtXq1at8lz1VebQAXOC0Gf2750B5916660aM2aM9uzZo8LCQp04ccLtJl3AIAEwi440kDquu+465eTkSJLnMs+I34BZxG8gdcQyz1q2bKmpU6fqjTfecLtJFwRhkg/wEvrMQOoIhUJ64IEHdPfdd+vVV1/VggULPFV9lfcJYE4Q+sz+vTPgIq1bt1ZmZqaOHj2qvLw8HTlyxO0mSSKoAyZFo1Em1oEUU7duXeXk5FzIPHvvvffcbpIk4jdgGkehAKklLS1No0aNUpcuXTRv3jytXLnSE5lnQSgLCXgJ8RtILZZlqW/fvnrooYf0xhtvaMaMGTp79qzbzZLE+wQwiYVxwEcuzTz76KOPXG4RE+uASUEI6oAfpaena+LEibrhhhs0bdo0bdmyxe0msckGMIw+M5B6QqGQ7r//ft19991asWKFJzLPYovzvE8AM4jfQGrq3LnzheqrRUVFnqi+yvsEMCcIc+j+vTPgMmKZZ/Xq1VNhYaF27drlansI6oA5TIQBqSstLU0jR45Uly5dNH/+fK1YscLVzDPiN2AWzxyQmi7OPHvzzTc1ffp0VzPPgjDJB3gJm0mB1NW6dWtlZWXp6NGjys3Ndb36KuMBwJwgzKH7986AK0hPT9eECRPUqlUrTZ8+3dXMM8rAAOZQOhFIbbHMs379+mnlypWaP3++SktLXWkL8Rswi2cOSG2xzLN9+/apsLDQtcwzFsYBs1jIAlJb48aNlZOTo1Ao5Hr1Vd4ngDlBmEPnbYJASktL04gRI9S1a1fNnz9fr776qiuZZ+yeBcxhIgxIfZZl6Y477tDDDz+srVu3upZ5xqAcMIs+M5D6WrVqpczMTB07dsy1zDPGA4BZ9JmB1Fe3bl1lZ2erfv36rlVfDUL2KuAlQegz+/fOgKsIhUIaPHiw7rnnHq1atUrz5s0znnnGIAEwJwhBHQiKTp06acyYMdq/f78KCwtVXFxs9PrEb8AsnjnAH2KZZ+FwWLm5ufrwww+NXj8I2S+AlxC/AX9IT0/X+PHjL1Rf3bx5s9HrE78Bs4Iwh+7fOwMqwLIs9enTR4888oi2bdtmPPOMspCAOUEI6kCQtGrVSllZWTp27Jjy8vL02WefGbs2k3yAWTxzgH/UqVPnK5ln7777rrFrMx4AzGLOC/CPWPXVbt26acGCBUarrxK/AbOC8Mz5986ASujYsaPGjh2r/fv3q6CgwFjmGZN8gDmUXgL8p1GjRq5knlHWGTCLPjPgL9WrV9f48eN14403asaMGdq0aZOR6zIeAMyizwz4SygU0qBBg3Tvvfcarb5K/AbMCsIz5987AyrphhtuUFZWloqLi5Wbm6tPP/006ddkkg8wJwi73YAgimWeNWjQwFjmGdkvgFn0mQH/SUtL0/Dhw9W9e3ctXLhQy5cvT3rmGeMBwCziN+A/lmXp9ttv19ChQ7Vt2zZNmzZNZ86cSeo1id+AWUF45vx7Z0AcYplnaWlpysvL0z/+8Y+kXo/ds4A5nEkE+Fcs86xNmzaaMWOGNm7cmNTrMckHmMVmFMCfQqGQBg4cqPvuu0+rV6/W3Llzk5p5FoRJPsBL6DMD/nXLLbdo3Lhx+vDDD1VYWJjU6qvEb8CsIMyh8zYBLlG7dm1lZWWpYcOGKioq0s6dO5N2LQYJgDl0pAF/i0QiGj58uHr06KFFixbplVdeSVrmGfEbMIvNpIB/WZal2267TUOHDtVbb72lqVOnJi3zjPEAYBbxG/C3li1bGqm+SvwGzGJhHAio6tWra9y4cWrTpo1mzpyZtMwzsl8Ac+hIA/5nWZYGDhyo/v37a82aNXrxxReTknnGwjhgFs8c4H+xzLOPPvpIBQUFOn78uOPXCMIkH+AlxG/A/6699tqvVF/dv3+/49cgfgNmxeK3n585eifAFVyaefbyyy87m3kWjSp67pxCPn7BAF7CwjgQHL1799awYcP0zjvvJCXzrKQkKsviXQKYwsQ6EAyxzLMTJ04oNzdXhw8fdvT7S0ujKitjPACYQjIIEAwXV1+dNGmSduzY4ej3R8vKZDEeAIwJQvyOuN0AwMtimWe1a9fW0qVLdezYMT300EMKh8OV+6LPP5deeUXatEnauFHaskU6dkz/VFamqGVJGRlSp05Sjx5St27SPfdIDRsm56aAgIptbKEjDQTDzTffrIyMDE2fPl35+fkaO3asatasWanvOHtWWrHCDt2bNkkbNkiHDkmlpQ9Jkr73PalNG6lXL6lrV6lvX6lduyTcDBBwLIwDwRHLPJsyZYry8vI0evRoNW/evFLfEY1KmzdLa9fa/7tunbR3r3TuXCdJnfTrX0fVtOmX8btXL6l3b4nXDOAs4jcQHLHqqy+++KJmzpypQYMGqUePHpX/oj177EF4bAC+fbtqnT6tn0ejiv7Xf0n16n05fx6bQ69e3fH7AYIsCEehsDAOVEDv3r1Vq1YtzZkzR8XFxRo5cqSqVat29Q9u2SI9/bQ0ZYp05oyUliaVlNgj9fOsaFQ6flxas8YO+OfOSZGINHy49N3vSrffLvl8hw5gAqWXgOBp0aKFsrOzNWXKFOXm5mrs2LFq0KDBVT/34YfS3/8uPfOM9OmnUjhsh+7zr5ELTp+Wtm2TduyQnn3W/ju33y498YT0yCNSlSpJujEgYIKwYx3Al2rXrq3s7GzNmDFDRUVFGjp0qNq3b3/VzxUX20PvP/1J2r7dXugOhewh+MXOnbO0Z4+0f780Y4Yd31u2tON3ZqZUt25y7gsIGhbGgWCJRCIaNmyYatasqZdeeklffPGF7r333qv340tLpUWLpKeekpYutX+WlmbPkUuKfdoqLZUOH5ZeeklassQO8LVqSY89Jn3rW1Lr1sm7OSBAghC//X13gIM6dOigcePG6cCBA1c/82z3bunOO+3t50VF9qK4ZAf08sqxnw/4KimRZs2S7rhD6tJF2rrVuRsBAopS6kAwNWzYUDk5Oapatary8vK0b9++K/7dY8ekxx+Xrr9e+u//thfFJXucfumi+MUuDu/r10uPPio1bWqHcgCJC8LAHMBXVatWTWPHjtVNN92k559/Xhs2bLji3y0rk/74R6lRI+nb37Y3rMV+fumi+MUuju9790o//KHUuLH0q199OTQHED/iNxA8lmVpwIABGjBggNauXas5c+aotLT0yh9Ytky64QbpwQftaqsx5QXiiwP8sWPS//6vdOON9kDc4WNYgCAKQvz2990BDmvRooWysrJ06tQpPffcc18/8yw2Ir/5Zrtum1T+SLw8sc+99Za9wM7oHEgIC+NAcNWqVUtZWVlq1KiRJk2apO3bt3/t7yxdapdBz821w3l5Y/fyxD736afSiBHSyJGMzYFEBaGUG4Cvi0QiGjp0qHr37q3Fixdr2bJlF45Hitm9W+rTR/rBD6QTJ+yNauXtRb+S2OfOnLGH3uxPBxJH/AaCq1evXho+fLi2b9+uKVOm6PTp01/9C8eO2Zne/fvbJdukxAfhs2ZJbduyQx1IEAvjAL4mlnlWvXr1r2aeHTsm3XuvPSI/cyb+BfFLlZbav371K/sMlUOHnPleIGBYGAeC7dLMs/Xr10uyJ8F/+lNpwADpk0/iH4tfKjYp/8IL9tj8/OUAxCEIA3MAl2dZlvr376+BAwdq7dq1euGFF1Ryfqw9e7a9J33jRmevGY3aWeddu9pHqwCID0ehAMHWoUMHjR8//kL11WPHjtl/sGOH1L69lJ9v/7688myVUVoqHT1q71DPznZubh4ImCDEb2YXgDjUqlVLmZmZaty4sSZNmqQd69ZJd90lrVqVvItGo3b2eO/e0scfJ+86gE/FskuYWAeCK5Z5dtttt2nJkiVavHipHn88qt/+1v5zp8bjFysttffO3X23tGKF898P+B3xG4Ak9ezZUyNGjNCOHTs0ZcoU5eae1YgR0tmzyZn3ju1Pf/xx6cknnf9+IAjY2Abg+uuvV3Z2tk6fPq3c3FwdWb5cuu026eBB53alXyy2Q72gQBo+nOqrQByCUPHF33cHJFEs8+yWG25QzREjFN26NTkB/WKlpdL+/fbs+mefJfdagM+QMQ5AsjPP7rvvPg0cOEi/+lUtPfts8q9ZWmpP3A8e7HxWG+B3xG8AMe3bt9eECRO0bFktPfZYmqLRaFxl0yvrxz+W/vrX5F8H8BsWxgFIUoMGDZSTk6NGx46p+gMPKHr8ePLn0KNRad48acKE5OyAB3wsCPHb33cHJFk4HNaDr76qJgcOyDIVZEtKpPfflyZOjO/wNCCgYhPrfi8FA6Bi3n+/h9av7yXJzDuhrMxeHH/wQemLL4xcEvAF4jeAi50921zPP//w+WoS5t4L3/mO9Prrxi4H+EIQSrECqJiaVapo1LRpqnrmjKxkL4rHRKPS9OnS//6vmesBPsHCOIDyLV0q67nnzC2Kx5SWSgsXSlOmmL0ukMLIOAMQc/CgPcFtep6utFQ6fFj6l38xe10glRG/AcSUlcUSvyyZns4KhaTx46XTp41eFkhpQSjFCqCC/uM/FNq1SyE3srf/7d+kXbvMXxdIUSyMA7iyY8ekzEx7hOwGy5K++13pwAF3rg+kGCbWAUj2pvFvflMqLnan8EppqZSXJy1ebP7aQCoifgOI+fOfpXXrknOm+NWUlkq7d0u/+pX5awOpKggT6wAqYNMm6f/9P/cqn8Z21pnKVAdSXBDit7/vDkimP/5R+uQT984piUalEyek//t/3bk+kGKYWAcgSWvWSPPnuzsmDoWk73+fE1GAiiB+A5DsDW0/+5m7bSgrk373O+mjj9xtB5AqgjCxDqACfvQj8+XaLlZSIm3YIL3wgnttAFJIEI5CoXcCxKOkRHr6afcWxWNKS6X8fOn4cXfbAaSA6PkVKAbmQLA9/bQUibjbhrIyu5LbqlXutgNIBcRvAJJ9itjJk263wvbcc263AEgNLIwD0I4d0sqV7mdrh8N26RkAVxWEo1D8fXdAssyfb2eLx6FY0i8kDZRUT5IlqSCRtpw+LU2enMg3AIFAxhmAgwel2bPjLcHqbASPROxFegDlI34DiEalP/0pkW9wLoaXlkp/+Yt07lwi7QGCgYVxAPrrX+Peme7oCLy0VFq9Wtq+Pd5vAAIjCPHb33cHJMuzz9o7zeLwqaT/kLRDUien2vO3vzn1TYBvxSbW/V4KBsCVTZ6cSLEXZyN4SYldye3IkYS/CvA14jeAzZvteez4jyBxNoYfOiQtWZLw1wC+F4RSrADKUVIi5eXFuzPd+Tn0SMRuD4BysTAO4OuiUfuA0jhLwDSWdEDSPkm/c6o9b73lnbpygEeRcQbgtdcS+bTjEVylpdKmTY58FeBbxG8Aa9dKib0CnI3hkYjdJgDlC0IpVgDl2L5dKi6O++OOj8BLSjjPDKiAIMRvf98dkAx79yZ0pndVSY0ca8x5ZWXS1q1OfyvgK7Hd6uxYB4Jrw4ZEMsadj+DhsJ0FB+DKWBgHsHlzogvjzsbw0lJp40bHvg7wrSBknAEoR4KD3aTMoW/bFncGOxAUQYjf/r47IBm8OINtWd5sF+AhlHEDgu3wYenAAbdb8VXRKBnjwNWwMA5g/XpvzWFHo/bCePyl3YFgCMLEOoBybN4spaW53YqvOnNG2rnT7VYAnhaEOXR6J0Bl7d4d9/niSROJ2O0CcEVBKAMD4Mref9/tFnxdWRljcuBqoudXnojhQHDt2eN2C77uiy/sXwCujIVxIODee086d87tVnwdc+hAuYIQv/19d0AynDqVaB0350WjdrsAXFEQgjqAK/NqmDx50u0WAN4Wyxj3+451AJdXVubNOXXJu30LwCuCkHEGoBwJnC+eVARwoFxBmEP3990ByeDBemlRyZPtArwkCEEdwJV5NUx6tV2AV1BKHYBXEcOB8jEGBwLOq4HSq+0CPCII8TvidgOAlFO9uucCaFlZmbbt3KlNzz6rjIwM1ahRQxkZGZf9VaVKFbebCxgRjUp799pHGu3dK+3c2UQffnibIhGpVSupWzepSROJDexAMFSv7nYLLu/Uqc/0178+fyFOXymGV6tWjYwbBMfhw3YA37lTNT7+WH03blRGaanUpo3Utav9v1472ghAUoRC9vGkXswanzLlOTVsmFZu/E5PT/f9xCJwwYkT0ptvStu2SUePqs8rr6jJxx/bv+/cWerYUapWze1WAjClRg23W3BZC155RYdOny43fteoUUORCEtnCIaSEmn7dmnLFunQIWnDhptVpUpIn3wideggdeki1a3rdiudxdMNVNb119tvCw8JScro0EHXXnutTpw4oU8++UTvv/++iouLL2TZxKSlpX0t0NMBgF+cPSu9+KKUlyetWycdO2b/3J47b65otJleflkqLbV/Xq+e1KeP9Nhj0qBBzLEDfnb99W634OssK6pWraJq1qyZTpw4oSNHjmj//v0qLi7WuUtWAEKhUIXiN5vgkJKiUem116S//U165RXpwAH756GQaodC6ltWptDq1V8G8GrV7AXyCROkMWOkjAz32g4g6Zo0sTe6ekm1aqXq0KGpTp06oeLiYh08eFDFxcU6ffr0V/6eZVlKT0+vUAxnExxS0vvvS3/9qzRvnn1ub1mZvfs8HFafsjKFVq2yfxaN2gPudu2kYcPsQXjTpm63HkAytWwpRSKem0e/pmtXldSrp+LiYh05ckTFxcU6ceLE1/5etWrVKhS/2QSHVPT551JBgTR1qr1/7exZ++eRiBSN3iJJmjnTDuGS1Ly51L+/9O1v2wvlqc6KRj2W+gp43a5dUtu2jnzVJkndJeVLykz0y1aulPr2/cqPotGoTp8+reLi4q/9OnHixNd+fyk6AEgVn30m/fGP0jPPSJ9+ao+3Y3PnVxP7u02aSN/7nv2L+XXAnxo0sN8RiXMmgofD0s9/bv+61NmzZy8bvy8Xw9kEh5R17py9m+2Pf5R27KjcxFls8Sg9XcrKkn74Q6lFi6Q1FYB7xoyxJ+Yq2r8vnzMxvG9fewh+qZKSkq/F6SvFbzbBIaUtWSL9/vfSsmWVG4BL9t+PRqUHH5R+9CPp9tuT104A7vn736VvfcuRyquOzaFHInZ1i0viaFlZmU6ePFmh+M0mOKSy7dulJ5+0F8TPnq3c4xkbrnfvLn3/+9Lo0XZ1p1TEwjhQWWVlUs2a0smTcX/FU5KOSvpY0jOShkq69fyfPSGpdmW/0LKkL76w2xUnOgBIVXPmSN/4hv0IJDpZFgpJ110nFRVJd9/tTPsAeMf990svvZTIuNzxCK4FC+x2xYtNcEhZb78tjRtnb0+XEpswi0TsX08+aW9h579VwFd+/3vpJz/5MmMlPs7F8LQ0ezLwd79LpD1sgkOK+uwzezf59OmVXxC/VGyG/dvfln77W3aoA36zebN9jmECHB+Bd+4svfFGQm1KZBNcOBz+SsxmExxMKSmRfvMb6Ze//PL38QqF7H75HXdIhYV2cYhUw8I4EI9+/ezt4XGOzFtI2neFP9tz/s8rpW1baefOuNoSDyc7AOV1AugAoDxHj0rf+Y40bZq9N8SpaBYL7t/+tj2/np7uzPcCcN9//Zf0i18kMn/XQk5GcMuSDh6UGjaMtz2V4/QmuCvFcDbBoVxlZdL/+3/2wyg5X1qxb197h5sXz08AEJfXXrOPP0pMCzkZw59/Xho+PLEWVZTTm+CuFL/ZBIermj/frtJy9KhTJRxssR3qkydLd97p3PcCcNeZM1KdOtIlY8vKaCEHo3ckIj3+uPTUU3G3p7Kc3ARX3hx6mLMhUY4dO+zs7m3bnJs/l77cn/6HP9jFIVJpGoiFcSAeU6bYGS5eEArZO2t/+EO3W3JZTncArtQJoAMQLAcP2vtTdu1ydjx+sVBI6tVLWrRIql35JFAAHrRvn72T1Qu933BYGjBAWrjQ7ZZcntOb4K4Uv9kEFzDnzkkTJ9q72pIlEpHq1pVefVXq0CF51wFgTFmZ1Lq1fc64F2J47dr2eKRaNbdb8nXJ2AR3uRjOJrgAevppO1M8tpPcaaGQPaM+dao0cqTz3w/AHd/4hp1S6pVzxjdtkrp2dbsVX5OMTXCXi99sgguetWvtuadTp5I3hy5JP/iBXeUpVf7zYmEciMeZM1KjRvYuWbdVqSJ9/LFUv77bLUlIoh2A6tWrl1s+jg6Afxw+LN12mz0xlux+dTgs3XqrPbdOVTfAH4YMkRYv9sa4fNEiadAgt1uRuEQ2wVWpUqVC8ZtNcD5QWio9+qg0e3byV7bCYalWLTvN9KabknstAEb8z//Ye8HdnsEKh+12/OY37rbDCRXdBHf8+HGVXNJxCofDV9z0dunP2ATnA089JT3xRPKvE9tsMX06i+OAX2zZ4o2F6FDILqO+ebPbLUlYopvgatSoUaExOJvgUt+6dXZi2dmzydnTdqnvflf6859TI3OchXEgXv/2b/ahYsncanM1kYg0dqxUUOBeG1xQVlamEydOXHYQX9EOQEUG8XQAvOfMGalnT+mdd8wtaoXD9nnjS5akzq43AFe2ZIk0cKC7bbAsqWlTe4NPkN4r0WhUp06dqtAk/JU2wV3tHFU2wXnYE0/Y2Wamhp/hsNSggbR1q7nzCgAkzeefS40b2+MBN1mWtHu3dMMN7rbDpGg0qrNnz1a4kszlNsFVJH6zCc6jZs2SRowwdz3LsmP4yy9TVh3wix497AVpEytz5cnPlzIz3W2DYU5sgqvIHDqb4Lxn926pSxfp5Emzy1f//d/2spnXsTAOxOvQIaldOztr3K3HqFo16e23pVat3Ll+CigpKbnsYP3STkA8HYCLf04HwIyf/Uz69a/deeSeesre+QYgtZWVSXfdZe+cdTNrfNo0O3kWl1feJrhL43plN8Fd/HM2wRmydKldv820cFh66CE7Sx1AyvvlL6X/+A/3ht+hkF0R9m9/c+f6qcCpTXBXi+FsgjPk4EF73uvYMbMPXihk74TZsUOqWdPcdQEkx/Ll0j33uHf9cFhq00Z680278iq+JrYJriJz6OVtgqvIGJxNcMlXVib16SNt3Gh+3isctq97661mr1tZLIwDiZg5Uxo1yr3r/+lPZspZBcDFHYCKdALK6wBcrRNAByA+mzbZ2eJubTCtVs3OVA9SdgjgVx98YB89fMl6qhHhsF3O/YUXUqO8VCqIbYK7Wvy+2ia4q8VvNsHF6Ysv7HLmn3ziXhCfMYOSrIAPnD1rZ77s3Gm+cFsoZJ+mtnMn63ROiW2Cq8j4u7xNcFfLZmMTXJyiUXtz2aJF7lRKDIelxx6TnnnG/LUBOO/b35b+/nd3xgOhkL1S16WL+Wv7UGwTXEXG4FfbBFfeGLx69epsgovT//6v9M//7M61w2GpbVvpjTe8vQ+FhXEgUcOGSXPnmh0oRCL2CuGqVcGqweoRl3YAyusEnDx58mufpwNQeWVl0s03S7t2uXd6QSQi3XGHvdEVQOp7+mnpe98ze03LkmrXtifVr73W7LXx9U1wVxvEswnOId/9rp1e6VYAjz14e/ZIdeq40wYAjnnzTalbN3deKcuWSffea/66+OomuPLid3FxMZvgnGK6hPqVrFplD8QBpLbiYnuz7IEDZoO4ZdnlJ//zP81dExdcvAnuauPveDfBZWRkqGrVqmyCO2//frtAgpvHD1mW/cj97GfuteFqWBgHEnXkiNS7t51+ZqI2RSRin5e4fr3UvHnyr4eEXNoBKK8jcOaSiEUH4EuLF0uDBrndCtsbb0idO7vdCgCJKiuTxo61E0lN9IZjxyUuXCj175/86yExl9sEd6X4zSa4chw5YpdCPXvW3XZYlvQ//yN9//vutgOAI/72N+lb3zJ7zV/8wi7lDm+73Ca4K8VvNsFdRbdu9uDXzTOBIxFp8GA7GQVA6tu0Serb116xM/FuCYftc9QWLfJ26iokfX0TXHkL6fFugsvIyFBaWppLd2jGv/6r9OST7u1Lj6lXT/r4Y6lqVXfbcSUsjANO+Phj++CGf/wjuYvjkYhUt660erVdkwK+crkOwJU6AUHrANx/v308qZvnAUv2I5idzbmCgF+cO2cXflmwILmL45ZlF3iZMcO+HvyFTXDl+P3vpZ/8xN1Jdcl+CFu2lHbv5gwDwCd+9zv79WLCv/yLPcHI68NfrrQJ7nIxPJFNcOnp6akXvzdvthfGvcCypH37pGbN3G4JACesWGFnvpw9m9wxQigk9eplTybWqJG868C4K22Cu1z8DtomuNOn7aN/vvjC7ZbYpk6VRo92uxWXx8I44JRPPrHrqm3fnpzAHgrZA4HlyznkOODK6wBc2gnwQwdg7177P/n4otU7kn4pabOkg5LSJbWX9GNJQ+JqT7Vq0sGDdlVWAKnv3DkpJ0eaNMmed3O6ZxyJ2L9mz7YTXhBsV9oEd7lBfMpvgisrswP4vn2V/qjz0fs86iADvvLMM/ZpDaGQ81kxoZD9GvvlL6Wf/5xF8aC70ia4y8VvX2yCy862O8eV3JmelPgdDtvpb//3/8b7DQC8Zt06e3G8uDh5aa2DBtlHQqSnJ+f7kRKCtglu0iRpwoR4P+1sFA+FpB497Mfdi1gYB5x0+rQ9cv7tb50bncdG5N/8pr1NvWbNxL8TgeGHDsBTT9mVT+Pbb7JI0p8k9ZZ0naSTkmZLWi3pb5K+GVebZs0i6xPwk2hUmjzZnlw/edLZsfntt0uFhVKrVs59J/zPF5vg3n5buuWWuD6alOgdidi1l//857jaBMCbNmyQxo+X3n/fuf3poZCdbVNUJN1zjzPfieA4d+5chRfRPbkJLhq1KxXGkW6WnNG37IqJO3fG+2kAXvTxx9Jjj9llzp3aoR7blf7b3365cw6ooNLSUp08eTKlN8ENG2afPhLfnFZyovjhw9I118T10aRiYRxIhtdft0fnu3bZu1vjeRvFPtekiVRQQHYLks6rHYDMTGnKFCfLqJdK6irptKTKD64jEenHP5b++7+dag8Ar/j4Y+nxx+3S6pFIfO+d2OutWjXpN79hPI7k8+wmuIICKSvLsftMLHqf17273U8H4Cux/em/+539+3gXyMNh+7OPPcaedCSfZzfB7d1rHz/iEEfidygkHT9O5ifgN7Ed6t/7nnTs2JfJYZUVG7z36WOPQdiVjiTz6ia4Jk3seS3nJB7FlyyR+vd3sk3OYGEcSJbSUvvJf+opafFi+2fhcPmz7OGw3SkoK5P69pWeeEJ66CHJC+UwgYs42QEorxOQlpamdu2kd991+g6GSNoouzRM5ViWnTmybJnTbQLgFW+8YZdnnTTJnmxPS7NLrl9JKGT/KimxK0f/0z9JEydKdeoYazJQIUY3wf3TP0l/+1v5D08lxR+9z6ta1S7ZGIk41iYA3vHRR9Jzz0l/+Yt06JD9qJeWlp+EFovxtWvbm+Mef5yTy+A9Tm+Cu1IMT09Pl/XCC9Lw4Y62P+H4LUlr10q9ezvTIADecuKEfRjxn/5kV526eH78SmIBPBKRRo60d6T37s3ZJ/AUpzfBXSl+16hRQ0ePhpOUmR1/FA+Hpf/8T+nf/s3xRiWMhXHAhD17pPnzpc2bpfXrpd27vxrcLcv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" ] diff --git a/algorithms/qaoa/maxcut/qaoa_max_cut.qmod b/algorithms/qaoa/maxcut/qaoa_maxcut.qmod similarity index 69% rename from algorithms/qaoa/maxcut/qaoa_max_cut.qmod rename to algorithms/qaoa/maxcut/qaoa_maxcut.qmod index e5d905f41..a79d0bbc6 100644 --- a/algorithms/qaoa/maxcut/qaoa_max_cut.qmod +++ b/algorithms/qaoa/maxcut/qaoa_maxcut.qmod @@ -4,9 +4,8 @@ qfunc mixer_layer(beta: real, qba: qbit[]) { }, qba); } -qfunc qaoa_ansatz(cost_layer: qfunc (real, qbit[]), num_layers: int, gammas: real[], betas: real[], qba: qbit[]) { - hadamard_transform(qba); - repeat (i: num_layers) { +qfunc qaoa_ansatz(cost_layer: qfunc (real, qbit[]), gammas: real[], betas: real[], qba: qbit[]) { + repeat (i: betas.len) { cost_layer(gammas[i], qba); mixer_layer(betas[i], qba); } @@ -17,6 +16,7 @@ qfunc maxcut_cost_layer(gamma: real, v: qbit[]) { } qfunc main(params: real[8], output v: qbit[5]) { - allocate(v.size, v); - qaoa_ansatz(maxcut_cost_layer, 4, params[0:4], params[4:8], v); + allocate(v); + hadamard_transform(v); + qaoa_ansatz(maxcut_cost_layer, params[0:4], params[4:8], v); } diff --git a/algorithms/qaoa/maxcut/qaoa_max_cut.synthesis_options.json b/algorithms/qaoa/maxcut/qaoa_maxcut.synthesis_options.json similarity index 93% rename from algorithms/qaoa/maxcut/qaoa_max_cut.synthesis_options.json rename to algorithms/qaoa/maxcut/qaoa_maxcut.synthesis_options.json index 1bf735ed9..cf46cbc85 100644 --- a/algorithms/qaoa/maxcut/qaoa_max_cut.synthesis_options.json +++ b/algorithms/qaoa/maxcut/qaoa_maxcut.synthesis_options.json @@ -7,28 +7,28 @@ "machine_precision": 8, "custom_hardware_settings": { "basis_gates": [ - "tdg", - "sx", - "h", - "ry", - "u", - "cz", - "rx", "u1", - "y", "x", - "id", - "u2", - "cy", - "sxdg", - "s", "sdg", - "r", + "sxdg", + "id", "cx", - "rz", + "u2", + "u", + "h", "p", + "s", + "tdg", + "rx", + "z", "t", - "z" + "y", + "rz", + "sx", + "cy", + "r", + "cz", + "ry" ], "is_symmetric_connectivity": true }, @@ -39,6 +39,6 @@ "pretty_qasm": true, "transpilation_option": "auto optimize", "timeout_seconds": 300, - "random_seed": 415303440 + "random_seed": 536323933 } } diff --git a/tests/resources/timeouts.yaml b/tests/resources/timeouts.yaml index 17ebea3e1..bb84417a8 100644 --- a/tests/resources/timeouts.yaml +++ b/tests/resources/timeouts.yaml @@ -34,6 +34,8 @@ arithmetic_expression_example.ipynb: 30 arithmetic_expression_example.qmod: 10 arithmetic_expressions.ipynb: 40 auxiliary_management.ipynb: 40 +bb84_implementation.ipynb: 150 +bb84_implementation.qmod: 150 bell_state_of_2_qubits.qmod: 10 bernstein_vazirani.ipynb: 32 bernstein_vazirani_example.qmod: 32 @@ -48,6 +50,8 @@ bitwise_or_integer_example.qmod: 10 bitwise_xor_2vars_example.qmod: 10 bitwise_xor_example.ipynb: 30 bitwise_xor_integer_example.qmod: 10 +bpde.ipynb: 600 +bpde.qmod: 10 classical_variables_and_operations.ipynb: 20 classical_variables_and_operations.qmod: 10 classiq_discrete_quantum_walk.ipynb: 300 @@ -224,8 +228,8 @@ protein_folding.qmod: 240 qaoa.ipynb: 450 qaoa_knapsack.ipynb: 300 qaoa_knapsack.qmod: 300 -qaoa_max_cut.qmod: 300 qaoa_maxcut.ipynb: 300 +qaoa_maxcut.qmod: 300 qct_qst.ipynb: 30 qct_qst_type1.qmod: 20 qct_qst_type2.qmod: 20 @@ -264,6 +268,8 @@ qsvt_matrix_inversion.ipynb: 180 qsvt_matrix_inversion.qmod: 156 quantum_autocallable_option_pricing.ipynb: 700 quantum_autoencoder.ipynb: 120 +quantum_compression_algorithm_for_symmetric_states.ipynb: 60 +quantum_compression_algorithm_for_symmetric_states.qmod: 60 quantum_counting.ipynb: 300 quantum_counting_iqae.qmod: 200 quantum_counting_qpe.qmod: 200 @@ -334,9 +340,3 @@ whats_classiq.ipynb: 400 whats_classiq.qmod: 1000 whitebox_fuzzing.ipynb: 720 whitebox_fuzzing.qmod: 720 -bb84_implementation.ipynb: 150 -bb84_implementation.qmod: 150 -quantum_compression_algorithm_for_symmetric_states.ipynb: 60 -quantum_compression_algorithm_for_symmetric_states.qmod: 60 -bpde.ipynb: 600 -bpde.qmod: 10