{"id":70027,"date":"2018-08-28T20:23:38","date_gmt":"2018-08-28T11:23:38","guid":{"rendered":"https:\/\/www.sejuku.net\/blog\/?p=70027"},"modified":"2024-05-06T11:51:03","modified_gmt":"2024-05-06T02:51:03","slug":"70027","status":"publish","type":"post","link":"https:\/\/www.sejuku.net\/blog\/70027","title":{"rendered":"\u3010NumPy\u5165\u9580 np.log\u3011np.array\u306e\u5bfe\u6570\u3092\u8a08\u7b97\u3059\u308b\u95a2\u65704\u3064\u3092\u7d39\u4ecb"},"content":{"rendered":"<p>\u3053\u3093\u306b\u3061\u306f\uff01<a href=\"https:\/\/lp.sejuku.net\/lp1_blog_01\/?cid=ai_btn1_70027\">\u30a4\u30f3\u30b9\u30c8\u30e9\u30af\u30bf\u30fc<\/a>\u306e\u30d5\u30af\u30ed\u30a6\u3067\u3059\u3002<\/p>\n<p>\u4e2d\u5b66\u9ad8\u6821\u3067\u7fd2\u3063\u305f<span style=\"color: #008000;\"><strong>\u5bfe\u6570<\/strong><\/span>\u3001\u7686\u3055\u3093\u899a\u3048\u3066\u3044\u308b\u3067\u3057\u3087\u3046\u304b\u3002<span style=\"color: #000000;\"><strong>\u884c\u5217\u8a08\u7b97\u3092\u5f97\u610f\u3068\u3059\u308bNumPy<\/strong><\/span>\u306b\u3082\u3001\u3082\u3061\u308d\u3093\u5bfe\u6570\u95a2\u6570\u306e\u5b9f\u88c5\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001<span style=\"color: #ff0000;\"><strong>NumPy\u306b\u5b9f\u88c5\u3055\u308c\u305f4\u3064\u306e\u5bfe\u6570\u95a2\u6570\u306b\u3064\u3044\u3066\u7d39\u4ecb<\/strong><\/span>\u3057\u3066\u3044\u304d\u307e\u3059\u3088\uff01<\/p>\n<p>\u5b9f\u306f\u6a5f\u68b0\u5b66\u7fd2\u306e\u5b9f\u88c5\u306b\u304a\u3044\u3066\u7121\u304f\u3066\u306f\u306a\u3089\u306a\u3044\u6a5f\u80fd\u3067\u3042\u308b\u5bfe\u6570\u3001NumPy\u306e\u52c9\u5f37\u3068\u4e00\u7dd2\u306b\u601d\u3044\u51fa\u3057\u3066\u307f\u307e\u305b\u3093\u304b\uff1f<\/p>\n<h2 id=\"title\">log\u306e\u4f7f\u3044\u65b9<\/h2>\n<p>\u203b\u3053\u306e\u8a18\u4e8b\u306e\u30b3\u30fc\u30c9\u306f\u3001<a href=\"https:\/\/www.sejuku.net\/blog\/59437\" target=\"_blank\" rel=\"noopener noreferrer\">jupyter notebook<\/a>\u3084<a href=\"https:\/\/www.sejuku.net\/blog\/64376\" target=\"_blank\" rel=\"noopener noreferrer\">juputer lab<\/a>\u3092\u4f7f\u3063\u3066\u66f8\u304b\u308c\u3066\u3044\u307e\u3059\u3002<br \/>\n\u30b3\u30fc\u30c9\u3092\u8a66\u3059\u3068\u304d\u306f\u662f\u975e\u3053\u308c\u3089\u3092\u4f7f\u3063\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u307e\u305a\u306f<span style=\"color: #000000;\"><strong>\u30e9\u30a4\u30d6\u30e9\u30ea\u3092import<\/strong><\/span>\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<pre class=\"lang:python decode:true\"># \u30b3\u30fc\u30c9 In [1]:\r\nimport numpy as np\r\nimport matplotlib.pyplot as plt<\/pre>\n<p>\u3055\u3066\u3001numpy\u306b\u306f\u5bfe\u6570\u306b\u95a2\u3059\u308b\u95a2\u6570\u304c4\u3064\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong><span style=\"color: #000000;\">np.log(a)<\/span><\/strong>\n<ul>\n<li><strong><span style=\"color: #000000;\">\u5e95\u3092e\u3068\u3059\u308ba\u306e\u5bfe\u6570<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<li><strong><span style=\"color: #000000;\">np.log2(a)<\/span><\/strong>\n<ul>\n<li><strong><span style=\"color: #000000;\">\u5e95\u30922\u3068\u3059\u308ba\u306e\u5bfe\u6570<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<li><strong><span style=\"color: #000000;\">np.log10(a)<\/span><\/strong>\n<ul>\n<li><strong><span style=\"color: #000000;\">\u5e95\u309210\u3068\u3059\u308ba\u306e\u5bfe\u6570<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<li><strong><span style=\"color: #000000;\">np.log1p(a)<\/span><\/strong>\n<ul>\n<li><strong><span style=\"color: #000000;\">\u5e95\u3092e\u3068\u3059\u308ba+1\u306e\u5bfe\u6570<\/span><\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u305d\u308c\u305e\u308c\u3092\u6570\u5f0f\u3063\u307d\u304f\u66f8\u3044\u3066\u307f\u308b\u3068\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-70028\" src=\"https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/08\/np.log_.png\" alt=\"\" width=\"204\" height=\"118\" srcset=\"https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/08\/np.log_.png 204w, https:\/\/www.sejuku.net\/blog\/wp-content\/uploads\/2018\/08\/np.log_-150x87.png 150w\" sizes=\"(max-width: 204px) 100vw, 204px\" \/><\/p>\n<p>\u57fa\u672c\u7684\u306b\u306f<span style=\"color: #ff0000;\"><strong>\u5bfe\u6570\u306e\u5e95\u304c\u5909\u308f\u3063\u305f\u3082\u306e<\/strong><\/span>\u304c\u53ce\u3081\u3089\u308c\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n<p>NumPy\u3092\u4f7f\u3063\u3066\u3053\u308c\u3089\u306e\u5bfe\u6570\u95a2\u6570\u3092\u8a66\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u307e\u305a\u306f\u30b5\u30f3\u30d7\u30eb\u914d\u5217\u3092\u7528\u610f\u3057\u307e\u3059\u3002<\/p>\n<pre class=\"lang:python decode:true\"># \u30b3\u30fc\u30c9 In [2]:\r\na = np.linspace(1,100,1000)<\/pre>\n<p>\u3053\u306e\u914d\u5217\u306b\u5bfe\u3057\u3066\u3001\u5148\u7a0b\u7d39\u4ecb\u3057\u305f4\u3064\u306e\u5bfe\u6570\u95a2\u6570\u3092\u4f7f\u3063\u3066\u307f\u307e\u3059\u3002<\/p>\n<pre class=\"lang:python decode:true\"># \u30b3\u30fc\u30c9 In [3]:\r\nlog_a = np.log(a)\r\nlog2_a = np.log2(a)\r\nlog10_a = np.log10(a)\r\nlog1p_a = np.log1p(a)<\/pre>\n<p>np.log\u7cfb\u306e\u95a2\u6570\u306f\u3001\u4ed6\u306eNumPy\u306e\u4e00\u822c\u7684\u306a\u95a2\u6570\u3068\u540c\u69d8\u306b\u3001\u914d\u5217\u306e\u8981\u7d20\u5168\u3066\u306b\u5bfe\u3057\u3066\u4f5c\u7528\u3057\u307e\u3059\u3002\u4e2d\u8eab\u3068\u305d\u306e\u30b0\u30e9\u30d5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<pre class=\"lang:python decode:true\"># \u30b3\u30fc\u30c9 In [4]:\r\nprint(\"original\")\r\nprint(a[:10])\r\nprint(\"n log\")\r\nprint(log_a[:10])\r\nprint(\"n log2\")\r\nprint(log2_a[:10])\r\nprint(\"n log10\")\r\nprint(log10_a[:10])\r\nprint(\"n log1p\")\r\nprint(log1p_a[:10])<\/pre>\n<pre class=\"lang:default decode:true\"># \u51fa\u529b\u7d50\u679c [4]:\r\noriginal\r\n[1.         1.0990991  1.1981982  1.2972973  1.3963964  1.4954955\r\n 1.59459459 1.69369369 1.79279279 1.89189189]\r\n\r\n log\r\n[0.         0.09449084 0.18081893 0.2602831  0.33389492 0.40245759\r\n 0.46661953 0.52691176 0.58377462 0.63757733]\r\n\r\n log2\r\n[0.         0.13632147 0.26086657 0.37550914 0.48170854 0.58062356\r\n 0.67318968 0.76017299 0.84220875 0.91982965]\r\n\r\n log10\r\n[0.         0.04103685 0.07852866 0.11303951 0.14500872 0.17478511\r\n 0.20265029 0.22883487 0.2535301  0.27689632]\r\n\r\n log1p\r\n[0.69314718 0.74150825 0.78763802 0.83173334 0.87396611 0.9144873\r\n 0.95343028 0.99091337 1.0270421  1.06191092]\r\n<\/pre>\n<pre class=\"lang:python decode:true\"># \u30b3\u30fc\u30c9 In [5]:\r\nfig = plt.figure(figsize=(10,10))\r\n\r\nplt.plot(log_a, label=\"log_e\")\r\nplt.plot(log2_a, label=\"log_2\")\r\nplt.plot(log10_a, label=\"log_10\")\r\nplt.plot(log1p_a, label=\"log_1p\")\r\nplt.legend()<\/pre>\n<pre class=\"lang:default decode:true\"># \u51fa\u529b\u7d50\u679c Out [5]:\r\n<\/pre>\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_png output_subarea \"><img decoding=\"async\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAk0AAAJCCAYAAADdrPONAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+\/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAIABJREFUeJzs3Xl4lNXB\/vHvTPZksm+TPSFACPsSAggEcMMFqwgU0VZbqrZaW62vpbWV1vZt3ypt31ettuoPq3VpRQWqqKiIbAn7HnYICRDWEAgh6yQzz++PJ2JV1IBJnknm\/lwXFzAzfeaeaJPbc85zjs0wDERERETky9mtDiAiIiLSGag0iYiIiLSCSpOIiIhIK6g0iYiIiLSCSpOIiIhIK6g0iYiIiLSCSpOIiIhIK6g0iYiIiLSCSpOIiIhIK\/i3x0Xj4uKMzMzM9ri0iIiISJvasGHDScMw4r\/qde1SmjIzM1m\/fn17XFpERESkTdlstgOteZ2m50RERERaQaVJREREpBVUmkRERERaoV3WNJ1PU1MT5eXlNDQ0dNRbeq3g4GBSU1MJCAiwOoqIiIi0UoeVpvLycsLDw8nMzMRms3XU23odwzCorKykvLycrKwsq+OIiIhIK3XY9FxDQwOxsbE+XZgAbDYbsbGxGnETERHpZDp0TZOvF6aP6esgIiLS+WghuIiIiEgrqDSJiIiItIJPlSaHw2F1BBEREemkfKo0iYiIiFysDtty4D\/9ZsF2dhypbtNr9k6O4NfX9WnVaw3DYMaMGSxcuBCbzcZDDz3E1KlT8Xg83HPPPSxbtoysrCw8Hg\/Tp09n8uTJ573Ohg0buP\/++6mpqSEuLo4XXniBpKSktvxYIiIi4iUsKU1WmzdvHps3b2bLli2cPHmSoUOHUlBQQFFREWVlZRQXF3PixAlyc3OZPn36ea\/R1NTEj370I958803i4+OZM2cOv\/zlL\/n73\/\/ewZ9GREREOoIlpam1I0LtpbCwkGnTpuHn50diYiJjxoxh3bp1FBYWMmXKFOx2O06nk3Hjxn3hNXbv3s22bdu44oorAHC73RplEhER6cJ8cqTJMIwLevyLXtunTx9WrVrVVrFERETEi\/nkQvCCggLmzJmD2+2moqKC5cuXk5+fz6hRo5g7dy4ej4fjx4+zdOnSL7xGTk4OFRUV50pTU1MT27dv76BPICIiIh3NJ0eaJk6cyKpVqxgwYAA2m41Zs2bhdDqZNGkSixcvpm\/fvvTs2ZNhw4YRGRl53msEBgbyxhtv8OMf\/5gzZ87Q3NzMfffdR58+1k49ioiISPuwXciUVGvl5eUZ69ev\/9RjO3fuJDc3t83fq63V1NTgcDiorKwkPz+foqIinE5nm79PZ\/l6iIiIdHU2m22DYRh5X\/U6nxxp+jITJkygqqoKl8vFzJkz26UwiYiISOej0vQZ51vHNHHiREpLSz\/12KOPPsr48eM7KJWIiIhYTaWpFebPn291BBEREbGYT949JyIiInKhNNIkIiIi3qG2Eo5shMMboHw9nD0GdxVaneoclSYRERHpeE31cKz4k4J0eAOc\/nj9sA3ie0HqEGhuBP8gS6N+TKVJRERE2pfHA5V7PylHhzfA8W3gaTafj0iBlMEw5DZIyYPkgRAUbm3m8\/Cp0uRwOKipqWmz691yyy2sX7+egIAA8vPzeeaZZwgICGiz64uIiHRKtZVweD2Ur4NDa+HIJmisNp8LioDkQXDJjyFliPkronOc3epTpamt3XLLLbz88ssA3HzzzcyePZu77rrL4lQiIiIdyN0MJ7a3FKR15u+nSsznbH7g7Av9pkBqnlmQYnuAvXPeh2ZNaVr4c3Mesy05+8HVj7TqpYZhMGPGDBYuXIjNZuOhhx5i6tSpeDwe7rnnHpYtW0ZWVhYej4fp06czefLk817nmmuuOffn\/Px8ysvL2+SjiIiIeK2aE5+MIJWvNxduN9WZz4UlQFo+DP42pOab02yBYdbmbUM+OdI0b948Nm\/ezJYtWzh58iRDhw6loKCAoqIiysrKKC4u5sSJE+Tm5jJ9+vSvvF5TUxMvvfQSjz\/+eAekFxER6SDNLjhe\/MkIUvlaqDpoPmcPgKT+MPhWSB1q\/opKB5vN2sztyJrS1MoRofZSWFjItGnT8PPzIzExkTFjxrBu3ToKCwuZMmUKdrsdp9PJuHHjWnW9u+++m4KCAkaPHt3OyUVERNpR9ZGWEaR15ijS0c3Q3GA+F54MaUMh\/05zFCmpPwSEWJu3g\/nkSNMXHVJ8MYcX\/+Y3v6GiooJnnnnm68YSERHpOO5m8w62Q2vg4GqzLFW3LDPxC4SkgTD0dnMtUmo+RKZYm9cL+GRpKigo4JlnnuG2227j1KlTLF++nD\/+8Y80Njbyj3\/8g9tuu42KigqWLl3KzTff\/IXXmT17Nu+\/\/z6LFy\/G3kkXtYmIiI9oqG5Zi9RSkg5vAFfLHeXhyZA+DNLuMafZnP28Zm8kb+KTpWnixImsWrWKAQMGYLPZmDVrFk6nk0mTJrF48WL69u1Lz549GTZsGJGRkV94nR\/84AdkZGQwYsQIAG688UZ+9atfddTHEBER+WJVh\/5jFGk1HN8OhgdsdkjoAwNugrThZlmKTOvSa5Haiu1ipqS+Sl5enrF+\/fpPPbZz505yc3Pb\/L3aWk1NDQ6Hg8rKSvLz8ykqKsLpdLb5+3SWr4eIiHQCn5tqWwPVh83nAsLMKbb04ZA2zBxJCo6wNq+XsdlsGwzDyPuq1\/nkSNOXmTBhAlVVVbhcLmbOnNkuhUlERORr+bKptogUsxx9XJIS+4Kffty3BX0VP2Pp0qWfe2zixImUlpZ+6rFHH32U8ePHd1AqERHxabUn4cBKOLgKDhSZex1+dqotfYRZkqLSrE7bZak0tcL8+fOtjiAiIr7kTDkcaClIB1bCyd3m4\/7B5vRawU811WYBlSYRERErGQac2v9JQTqwEqoOmM8FRZjTbAOnQfol5plt\/oHW5vVhKk0iIiIdyeOBEzs+mWo7sBJqjpvPhcZBxggYfhdkXGKuR7L7WZtXzlFpEhERaU\/uJji69ZOCdHAVNFSZz0WkQtYYsyBljIS4Hrr134v5VGlyOBzU1NS02fWefPJJHnvsMUpKSqioqCAuLg4wdxa\/9957effddwkNDeWFF15g8ODBbfa+IiLixdzNcGwLlK6AshXm3W0f39kW2x16f8MsSBmXmGe1SafhU6WprY0cOZIJEyYwduzYTz2+cOFC9u7dy969e1mzZg133XUXa9assSakiIi0L4\/bvJutbIVZlA6ugsZq87n4XuadbZmjzDVJ4YnWZpWvxSdLk2EYzJgxg4ULF2Kz2XjooYeYOnUqHo+He+65h2XLlpGVlYXH42H69OlMnjz5vNcZNGjQeR9\/8803ufXWW7HZbAwfPpyqqiqOHj1KUlJSe34sERHpCB6PuZFkWaFZlA4UQcMZ87nYHtB3EmSNhszR4EiwNqu0KUtK06NrH2XXqV1tes1eMb34Wf7PWvXaefPmsXnzZrZs2cLJkycZOnQoBQUFFBUVUVZWRnFxMSdOnCA3N5fp06dfcJbDhw+TlvbJPhmpqakcPnxYpUlEpDPyeKBi5yfTbQeKoP60+VxMN+h9PWQWmKNJEfo+35X55EhTYWEh06ZNw8\/Pj8TERMaMGcO6desoLCxkypQp2O12nE4n48aNu6jrn+9oGpsW9omIdA6GASf3QOlysySVFUJdpflcVAbkXNsykjQKIlOtzSodypLS1NoRofbyRefttdU5fKmpqRw6dOjc38vLy0lOTm6Ta4uISDs4cxhKl8H+ZbB\/KdQcMx+PSIUeV5pTbZmjIDrD0phiLbvVAaxQUFDAnDlzcLvdVFRUsHz5cvLz8xk1ahRz587F4\/Fw\/Pjx8x6p0hrf+MY3ePHFFzEMg9WrVxMZGampORERb1JfBTvfhnd\/Ck8Ohf\/rDf++C\/YtMu9qu+5x+PFm+Mk2mPg0DLpFhUl8c3pu4sSJrFq1igEDBmCz2Zg1axZOp5NJkyaxePFi+vbtS8+ePRk2bBiRkZFfeJ0nnniCWbNmcezYMfr3788111zD7Nmzueaaa3j33Xfp3r07oaGhPP\/88x346URE5HOaG83DbT8eSTqy0Ty7LSDULEmDb4VuY81z3Ow+OZ4grWBrqymp\/5SXl2esX7\/+U4\/t3LmT3NzcNn+vtlZTU4PD4aCyspL8\/HyKiopwOp1t\/j6d5eshItIpeTxwbKtZkEqXmee4NdeDzQ9S88wNJbuNNc9u07EkPs9ms20wDCPvq17nkyNNX2bChAlUVVXhcrmYOXNmuxQmERFpB6dKYf8SczSpdDnUnzIfj8+FIbeZJSljpA64lYum0vQZ51vHNHHiREpLSz\/12KOPPsr48eM7KJWIiHxO41lzG4CSxbBvMZxu+T4dngw9rzJLUlaBtgGQNqPS1Arz58+3OoKIiHw85VayGPZ9ZK5R8jSZ65IyR5uH3HYbp\/PbpN2oNImIiPeqOQElH5kjSfuXQG2F+XhiPxhxN2RfBunDwT\/I2pziE1SaRETEezS74NBqsySVLDbPdAMIjYXsS82SlH2pznATS6g0iYiItU7th70fmiWpdAU01YLdH9KGwaUzoftl4BygrQDEcipNIiLSsZob4cBK2LsI9r4PlfvMx6OzYOA0czQpazQEhVubU+QzfKo0ORwOampq2ux6Tz75JI899hglJSVUVFQQFxfXZtcWEelSzhw2d9veu8jcO8lVA35BZjnKvxO6Xw6x2VanFPlSPlWa2trIkSOZMGECY8eOtTqKiIh3cTdD+TrY+4FZlI63rE2KTIP+U83z3LIKIDDU2pwiF8CS0nTsf\/6Hxp272vSaQbm9cP7iF616rWEYzJgxg4ULF2Kz2XjooYeYOnUqHo+He+65h2XLlpGVlYXH42H69OlMnjz5vNcZNGjQeR9\/+OGHKSkp4fDhwxw6dIgZM2Zwxx13XPRnExHpFGpPwr4PzaK0bzE0VJlrk9JHwBW\/NYtSfC9tByCdlk+ONM2bN4\/NmzezZcsWTp48ydChQykoKKCoqIiysjKKi4s5ceIEubm5TJ8+\/aLeY+vWraxevZra2loGDRrEtddeS3Jycht\/EhERCxkGHN0Mez4wi9LhDYABYQnQawL0uAKyx0HwF5\/hKdKZWFKaWjsi1F4KCwuZNm0afn5+JCYmMmbMGNatW0dhYSFTpkzBbrfjdDoZN27cRb\/H9ddfT0hICCEhIYwbN461a9dyww03tOGnEBGxQFMDlK2A3e\/C7vfg7BHABilDYOyD0PNK3ekmXZZPjjR90SHFbXl4se0zw8+f\/buISKdRexL2vG8WpZIl5pYAAWHmVgA5V5vTbmG6EUa6Pp\/8T4GCggLmzJmD2+2moqKC5cuXk5+fz6hRo5g7dy4ej4fjx4+f9xy61nrzzTdpaGigsrKSpUuXMnTo0Lb7ACIi7ckwoGI3FP4fPDce\/tgd3rwbDm+EATfBLXNhxn6Y+hIMvFmFSXyGT440TZw4kVWrVjFgwABsNhuzZs3C6XQyadIkFi9eTN++fenZsyfDhg0jMvKL5+KfeOIJZs2axbFjx+jfvz\/XXHMNs2fPBiA\/P59rr72WgwcPMnPmTK1nEhHv5m42d+LevdAcUTq133w8aQCM+Zk5opQ0QIu4xafZ2nJK6mN5eXnG+vXrP\/XYzp07yc3NbfP3ams1NTU4HA4qKyvJz8+nqKgIp9N5Qdd4+OGHcTgcPPDAA1\/4ms7y9RCRLqzxrLkdwO6F5kLuhirwCzS3Asi5GnpeBZGpVqcUaXc2m22DYRh5X\/U6nxxp+jITJkygqqoKl8vFzJkzL7gwiYh4tdpKcyRp19vm+iR3I4TEQM41kHOVea6bduIWOS+Vps843zqmiRMnUlpa+qnHHn30UcaPH3\/eazz88MPtkExE5CKdKYdd78DOBXCgCAyPucnk0O+ZWwOkDwe7n9UpRbxeq0qTzWaLAmYDfQEDmG4Yxqr2DOZN5s+fb3UEEZELc3If7HzLLEpHNpqPxfeCUfdD7nVanyRyEVo70vQ48J5hGJNtNlsgcFH73huGoVvvadutDUREAPOOt2NbzZK0cwFUtJy6kDwYLvu1WZTielibUaST+8rSZLPZIoAC4DsAhmG4ANeFvlFwcDCVlZXExsb6dHEyDIPKykqCg4OtjiIinZ3HA4fWfFKUzhwEmx0yRkLedOh1rRZyi7Sh1ow0dQMqgOdtNtsAYANwr2EYtRfyRqmpqZSXl1NRUXERMbuW4OBgUlP1jUxELsLHRWnHv2HHm3D2qHnHW\/alMGaGedeb9k0SaRetKU3+wGDgR4ZhrLHZbI8DPwdm\/ueLbDbbncCdAOnp6Z+7SEBAAFlZWV87sIiIzzlvUQoyz3brMxF6jtcdbyIdoDWlqRwoNwxjTcvf38AsTZ9iGMazwLNg7tPUZglFRHyRipKI1\/nK0mQYxjGbzXbIZrPlGIaxG7gM2NH+0UREfMyXFaXeN5j7KKkoiVimtXfP\/Qh4peXOuf3Ad9svkoiIDzEMOLQWts9TURLxcq0qTYZhbAa+cntxERFpBcOA49th2xtQPNe86+0\/i1LP8RAcYXVKEfkM7QguItJRTpV+UpQqdoLND7LHwbhfmNsDqCiJeDWVJhGR9nT2OGyfD8Wvw+GWg8zTR8A1fzIXdGt7AJFOQ6VJRKSt1VeZm01uewNKl5tnvTn7weW\/gb43QtTnt2UREe+n0iQi0haaGmDPe+aI0t4PwO2CmG4w+gHoNxnic6xOKCJfk0qTiMjFMgw4uBq2vgrb5kPjGXA4Yegd0G+See6bDx8bJdLVqDSJiFyoU\/thyxyzLJ0ug4BQyP0GDLgJsgrA7md1QhFpBypNIiKtUX\/aXNC95VVzA0ps0G0MjH0Qek2AIIfVCUWknak0iYh8kWYX7FtkFqU975nrlOJ7weUPQ79vQmSK1QlFpAOpNImI\/CfDgKObYfM\/ofgNqD8FoXGQ9z1z+i1pgNYpifgolSYREYDaSih+DTa9DMe3mTt097oGBkyD7EvBL8DqhCJiMZUmEfFdHjeULIFNL8Kud8HTBMmD4No\/Q99JEBJtdUIR8SIqTSLie07th02vmFNwZ49ASAzk3wEDbwFnX6vTiYiXUmkSEd\/gqoMdb5rTbwcKwWaH7Mvg6keg51XgH2R1QhHxcipNItJ1GQYc3mhOvxXPBddZiM6CS2eaa5V095uIXACVJhHpehrPwtbXYMPzcKwY\/EOgzw0w6NuQcYnufhORi6LSJCJdx5FNsP55c6uAplpI7Gcu6u43BYIjrU4nIp2cSpOIdG6NNbDtDbMsHd1sjir1nQR534WUIRpVEpE2o9IkIp3T0a3m9NvW1821Sgm94eo\/Qv9vQkiU1elEpAtSaRKRzsNVB9vmmmXp8AbwD4Y+E2HIdyEtX6NKItKuVJpExPudKoV1s83tAhqqIC4HrnoE+k+F0Bir04mIj1BpEhHv5PFAyUew9lnY+4G5r1Lvb8DQO3QHnIhYQqVJRLxLfZW5U\/e6\/2fu3B2WAGNmwJDvQESy1elExIepNImIdzi+Hdb+P9g6B5rqIG0YjPsl5H4D\/AOtTiciotIkIhZyN8Out82ydKDQXNjdb7I5BZc80Op0IiKfotIkIh2vvgo2\/gPWPAvV5RCVDlf81tyxWwu7RcRLqTSJSMepLIE1T8OmV8wduzNHwzV\/hJ7jwe5ndToRkS+l0iQi7csw4EARrPor7H4X7P7mFNzwuyGpv9XpRERaTaVJRNpHswu2z4dVT8KxrRASAwUPwNDbIdxpdToRkQum0iQibavuFKz\/u7m4u+aYuRHlhMdgwE0QEGJ1OhGRi6bSJCJt43QZrHzS3LW7uR66jYPrn4LsS8FutzqdiMjXptIkIl\/PsWIofMycirPZzQNzR9wDib2tTiYi0qZUmkTkwhkGlK0wy1LJYgh0wPC7zMXdkSlWpxMRaRcqTSLSeh63uRll4WNwZCOExcOlM2Ho9yAk2up0IiLtSqVJRL5aUwNsfRWKnoBTJRCdBdf+Lwy8WYu7RcRnqDSJyBdrrDHvhFv1JNQch6SBMOUF8zw4bUYpIj5GpUlEPq\/hDKx91tyQsv4UZI2BG581f7fZrE4nImIJlSYR+UTdKfOYkzVPm8Wpx3go+CmkDbU6mYiI5VSaRARqKmD1U+aGlK4a6DXBLEvJA61OJiLiNVSaRHzZ2WPm4u71f4fmBugz0TzqJLGP1clERLyOSpOIL6o+AoX\/Bxv+AZ5mc0PK0f8FcT2sTiYi4rVUmkR8Sc0Jsyytew4Mt7llwKifQEw3q5OJiHg9lSYRX1BbCSsfN9csNTfCgGkw5qcQnWl1MhGRTkOlSaQrqz8Nq56C1X8DVy30mwJjfw6x2VYnExHpdFSaRLqihmpz24CVT0LjGeh9A4x9EBJ6WZ1MRKTTUmkS6UpcdbD2GSh63BxlyrkWxj0Izn5WJxMR6fRUmkS6AnczbHoJlj4CNceg+xUw7heQMtjqZCIiXYZKk0hnZhiw8y1Y\/Fuo3Adpw82z4TJGWJ1MRKTLUWkS6axKl8OHD8PhDRDfC276F+RcrbPhRETaiUqTSGdzrNgsS\/s+hIhUuP6vMOAmsPtZnUxEpEtTaRLpLE6XwUe\/h+LXITgSrvwdDL0DAoKtTiYi4hNUmkS8XX0VrPizuYWAzQ9G3Qcj74OQKKuTiYj4FJUmEW\/lboYNz8PSP0DdKRh4C1z6S4hItjqZiIhPUmkS8TaGAXsXwQcPwcndkDkaxv8ekgZYnUxExKepNIl4k+Pb4f1fwv4lEJMNN\/0Tcq7RHXEiIl5ApUnEG9ScgCW\/h40vQlAEXPUI5H0P\/AOtTiYiIi1UmkSs5G4yF3gvfRSa6yH\/+zBmBoTGWJ1MREQ+Q6VJxColH8HCn8HJPdDjShj\/PxDXw+pUIiLyBVSaRDpa1UF4\/xewcwFEZ8G0OZBzldWpRETkK6g0iXSUpnooegIK\/xewwaUPwYgfaXNKEZFOQqVJpL0ZBux+F977uTnK1PsGczfvqDSrk4mIyAVQaRJpT6dK4d2fwr5FEJ8Lt74F3cZYnUpERC6CSpNIe2h2waq\/wLJZYPc3F3nn3wl+AVYnExGRi6TSJNLWDqyCt38CFTsh9zq46lGITLE6lYiIfE0qTSJtpe4ULPoVbHoJItN1V5yISBej0iTydRkGbHkVPvgl1FfByHthzM8gMMzqZCIi0oZUmkS+jsoSWHAvlK2A1Hy47jFI7GN1KhERaQetKk02m60MOAu4gWbDMPLaM5SI13M3w+qnYMn\/gH8QTHgMBt8GdrvVyUREpJ1cyEjTOMMwTrZbEpHO4tg2eOseOLIJek2Aa\/8M4U6rU4mISDvT9JxIazW7YMWfYMWfISQaprxgblRps1mdTEREOkBrS5MBfGCz2QzgGcMwnv3sC2w2253AnQDp6eltl1DEG5RvgDd\/aG4j0H8qXPUIhMZYnUpERDpQa0vTSMMwjthstgRgkc1m22UYxvL\/fEFLkXoWIC8vz2jjnCLWaKqHj34Hq\/8K4Ulw82vQc7zVqURExAKtKk2GYRxp+f2EzWabD+QDy7\/8fyXSyZVvgPnfh8q9MOS7cMVvITjC6lQiImKRryxNNpstDLAbhnG25c9XAr9t92QiVml2wfJZsOJ\/zdGlW9+EbmOtTiUiIhZrzUhTIjDfZi529Qf+aRjGe+2aSsQqx3eYo0vHtsKAm+HqRyA40upUIiLiBb6yNBmGsR8Y0AFZRKzjccOqJ831S0ERMPUVyJ1gdSoREfEi2nJA5FQp\/PsuOLjK3HdpwmPgiLc6lYiIeBmVJvFdhgFb\/gXv\/hRsdrjhaRhwk\/ZdEhGR81JpEt9UXwXv3A\/b5kLGKJj4NESlWZ1KRES8mEqT+J6Da2Du7VB9GC6dCaN+AnY\/q1OJiIiXU2kS3+FuNo9AWfYIRKbB9PchbajVqUREpJNQaRLfUHUI5t1hLvbuPxWu+ZM2qhQRkQui0iRd34434c0fgeGBic\/CgKlWJxIRkU5IpUm6ruZG+GAmrH0GUobApNkQ083qVCIi0kmpNEnXdPoAvP4dOLIRhv8QLn8Y\/AMtDiUiIp2ZSpN0PbvehX\/\/AAxg6suQe53ViUREpAtQaZKuw90Ei38LK5+ApAEw5QVNx4mISJtRaZKu4cxheGM6HFoNed+D8f8DAcFWpxIRkS5EpUk6v9IV5vql5gaY9Bz0m2x1IhER6YJUmqTzMgxY8zS8\/0tzGu6mf0J8T6tTiYhIF6XSJJ1TUz0suA+2vgo515pnx2mzShERaUcqTdL5VB2EV2+BY8Uw7pcw+gGw261OJSIiXZxKk3Qu+5eZ65c8zTDtVci5yupEIiLiI\/Sf59I5GAasegpeugEcCXDHEhUmERHpUBppEu\/X7IJ37odNL0GvCeb6paBwq1OJiIiPUWkS71Z3CuZ8Gw4UQsFPYewvtH5JREQsodIk3qtiD\/xrKpwphxv\/H\/T\/ptWJRETEh6k0iXcqWQKv3WYesvuddyAt3+pEIiLSwQyPB5sXzS6oNIn3WTcb3p0B8TnmHXLRGVYnEhGRdmJ4PDQfP46rrOzcr8ayA9SXluGuqaH3ykKrI56j0iTew+OBDx6C1U9Bj\/EwabY2rBQR6SKaT59uKUUHzpWj+v2lNB08gK2x8dzrXP6BHAmLozwsluMJ3clxNeEXGGBh8k+oNIl3aGqA+d+HHf+G\/O\/DVX8Au5\/VqURE5AJ46upwHTz4yahRaRkNpWU0lpVCdfW517ntfhwPi+VQaCzlqcM47IjnaHg8Rmo60enJZMU76BYXxtg4B\/h7T1XxniTiu+pPmzt8HyiCK\/4bLvkR2GxWpxIRkfMwmppoOnyYxv+cTmspR8aJ45967anQKA6GxXE4pg\/l6fEcdsTRkJiCIyONTGckWXFhDItzkBUXRnpMKIH+3rN+6XxUmsRaVYfglclQWQKTnoN+k61OJCLi8wzDwH3qFK79+2ncX4qrtNScTistpbm8HJvbfe61dYGhHHLEcSgslcO5gzjsiON0tJPgrExSk2LIinPQMz6Mq+LCyIwLwxHUeatH500und+xYnhlCrjq4NvzIKvA6kQiIj7FaG5wOZ5ZAAAgAElEQVSmqby8pRjtp3H\/fhpL9tNQsh\/OfjKd1uQXwNHweA6GxlKePYbDYfEcj4zHnp6JMzWBrPhwusWFMTw+jKy4MGLDArF1wRkDlSaxxv6l8Oq3zJ29py+ExD5WJxIR6bLcNbXmaFFLMXLtL6WhZD+ugwewNTWde111SAQHHfEciO3DocwEDjkSqI5LIiorjW4J4WTHOxgd7yA7wUFadAj+ft49ndbWVJqk422fD3PvgLgecMsbEJlidSIRkU7PMAyaT1Tg2l9yrhg17jdHjTz\/sdbIY7NzIjyO0tB4DmWO4pAjgfKIBEjNICk1nuyWUlQQ7yA7PoyYLjpqdDFUmqRjbfgHvH0fpObDzXMgJMrqRCIinYrR3Izr4CEaS\/bhKtnfMnpkjhxRV3vudQ0BwZSHJ1AWlsqh3oMpdyRwIjqJsKx0Mp1RZMc7yIt3MDUhjMzYMIIDdMfyV1Fpko6z8i\/mPkzdL4dvvgSBoVYnEhHxWkZTE65Dh2jcu88sSPv20bCvBFdpKfzHlFqVI5oDYfEcSBzIwfAEysMTqHOmEZeeTPfEcLLjw7guwUF2vANnRDB2u0aNLpZKk7Q\/w4CPfgcr\/gS9bzDPkfMPtDqViIhXMJqacB04QOO+Ehr3mQWp8eNy1Nx87nWVEXGUhiVQmjmSg+GJHAxPxJWcTlpqHN0THPRMDOeyBAfdExxEhep7bHtQaZL25fHAwhmw7v\/B4FthwmPatFJEfJLhcrWUo32fFKR9+3CVlUHLLfwGNk62lKOyrNEcCHdyMCKR5uQ0MlLj6JHgICfRwbUJ4fRIdBAR7B07ZfsKlSZpP+5mePNu2DrH3LDyiv\/WppUi0uUZTU3mho97936qILkOHPhcOSoJS6Ase0zLyJETIy2djOQYeiSG0zvBwfUt02vhKkdeQaVJ2oe7Cebebh6LculDMPoBFSYR6VIMw6D56FEa9uyhcc9eGvfsMYtSScm5aTWPzUZlZAL7QxPYnz323LQa6el0S4mle0I4\/RMcTE4MJzshjNBA\/Vj2ZvqnI22v2QVzp8POBXDl7+GSe6xOJCLytbjPnKFxz55PFaSGvXsxamrOveZMeAz7w53szRpNWUQSZRFOGpypdEuJJicxgj5OBzc6I+iR4CCsE++K7cv0T03aVrMLXv8O7H4HrnoEht9ldSIRkVbzNDbiKin5XDlyH\/9kn6OGoFAORiWxO74\/ZdlOyiKSqIhNITU9gZzEcHKc4VzR8nusI8jCTyNtTaVJ2k5zI7x2G+xZCFf\/EYbdaXUiEZHzMjwemsrLadi925xWaylIrgMHzBtYgGa\/AI5FOdkTlsr+PnmURSRRHplEVHoKOUkR5DjDubGlHKVEhehWfh+g0iRto6kBXvs27P0Arv0zDL3d6kQiIgB46uvNEaNdu2ncvYuGXbtp2LULo64OAMNm43REPCXhieztcSmlEUkciHBiS02jZ3IUOc5wChLDudMZQVZcGIH+vnV0iHxCpUm+vqYGmHML7PvQ3FIg77tWJxIRH2QeI3KCxl0fF6OdNO7a\/anRI1dQCOXRKexwDmJfRDKlkUkci04iKzWO3KQIcpMiuC4pgl5J4bqdXz5HpUm+nmYXvHYr7FsM3\/iLuReTiEg7M1wuGktLadhpFqOG3bto2LkLT1XVuddURcZTEpHEzh6XURqZTElkMjiTyE2OJDcpggktJSkrLgw\/Ta1JK6g0ycVzN8O822Hv+zDh\/1SYRKRduM+coWHnThp27aJx5y5zHdK+fedu62\/2D+BoTDK7onLYm57E\/ohkymOSSU5JIDcpnN5JEVzTUpBiwrRTtlw8lSa5OB4PvPlD2PEmjP8D5E23OpGIdAHNJ0\/SsGOH+Wu7+XvT4cPnnq91RFEWlcz2rNHsj0xmf2Qy9QnJ5KREkeuMYGxSBHclRdA9waG1R9LmVJrkwhkGvPMT2PqquXHliLutTiQinYxhGDQfO\/apctSwYwfNJ06ce83pGCf7IpMp7j2AkqgUSiKTCU2Ip09yJH1TIvh2ciR9UiJwRgRj0+a50gFUmuTCGAa8\/wvY8AKMuh8Kfmp1IhHxcoZh0HTo0OcKkvv0afN5m53K2CR2R2SwLWE4+6JS2B+ZTLwzlr4txei65Ej6JEdo3yOxlEqTXJglv4fVf4Vhd8Flv7I6jYh4GcPtxlVW9umCtHMnnrNnAfD4+XMiNoWdMTlsT0uiJCqVA5FJpCXHmCNIyRHclBJJ7+QI3b0mXkelSVpv9d9g+R\/NBd9X\/UFnyYn4OMMwzA0ii4up37adhuJiGrZvx9Oy\/5E7IJBjcWnscPZne3Yy+6JSOBKVRHZKNH2SIhmeEsH3UiLJdUYQEuhn8acR+WoqTdI6xW\/Aez+H3OvMvZhUmER8TtPxEzRsK6a+uJiGbdtp2LYNd8st\/m7\/AI4npLM9LY+tYUnsjUrlSEQi2c5IBqRGMTo1kntSo+jpdBDkr4IknZNKk3y1ko9g\/g8gYyTcOBvs+oYn0tU1nz7dUoyKqS\/eRsO2becWaRt2OyfjU9mZ0JvNGUnsiU7jYKST9IRI+qdGMTI1krtSI+mdFKkRJOlSVJrkyx3eCHO+DXE94aZ\/QkCw1YlEpI25a2pp2LGdhuJt1G8rpqF4G03l5eeePx2bxN7oTDYkjmBvVBr7I5NJaClIA1MiuTU1ir4pEYRrDZJ0cSpN8sUqS+CVKRASA9+aCyFRVicSka\/J8HhwlZRQv2WL+WvzFnOjSMMAoDY6npKYdDb2HcCuyFT2RqUSHhtF\/9Qo+qdEMinN\/D1am0SKD1JpkvM7exxemggY8O35EJFkdSIRuQjNp059UpC2bKFhazGe2loAmkIdHHJ2Y1Pf8WwJS2FPdCpN4VH0S4lkUHo0d6dHMTAtisQIjTCLgEqTnI+rFv41FWor4La3Ia671YlEpBUMl4uG3bup39xSkrZupengQfM5u53KxHR2ZgxhTXAyu2IyOBwWR4\/EcAamRTExPZqBaVH0THTg76edtEXOR6VJPs3jhnl3wtEt5hqm1CFWJxKR8zAMg+ajR89NsdVv3UrD9u0YLhcA9ZExlMZnsa7\/AIoj0tgXlUpYpINBaebo0XfTo+mfFqm9kEQugEqTfNqiX8Gut+GqRyHnaqvTiEgLo6mJhl27qN+4kbqNm6jftOnc3WyegEBOJGWxtedo1oWYo0hnHNH0To5kUFoUd6ZHMSgtmrSYEB03IvI1qDTJJ9Y9B6uehPw7YfgPrE4j4tPcZ85Qv3nzuYJUX1yMUV8PQH1sAiWJ2axJG83m8DRKI5KIjghhSEY0YzJi+ElGNH2SIwgO0O3+Im1JpUlM+z6Ed38KPcbD+D9YnUbEp3x8Nlvdxo3Ub9xE\/aaNNO7dZz5nt3M6OYvtPS6hMDiFbdEZnA6NpGdCOIMzorkrI5q8zGjSY0I1iiTSzlSaBI7vgNe+Awm9YfJz4Kd\/LUTak+Fy0bBjx7lRpLpNm3CfPAlAc0gYh5Oz2ThwAqvDUtkdnYY9JJSBaVHkZUbz3YxoBqdHExmitUgiHU0\/HX1d3Sn4100QGAY3z4GgcKsTiXQ5nro6c6pt\/Xrq1q2nfutWjMZGAOrjEilJ7MmqjHFsjEjnQEQiiZGhDMmMZmJGNHkZMfRKCidAd7SJWE6lyZe5m+H12+DsUfjuQohMsTqRSJfgPnuWug0bqP+4JG3fDs3NGHY71SlZ7OwzhmWBSWyJyuB0cAQ9EhzkZ8Xwk6wY8jJjSIkKsfojiMh5qDT5skUzoXQ53PA3SM2zOo1Ip9V86pQ5itTyq3HnLjAMDH9\/TqVmUzzwSpYEmuuRGgKD6Z0cQX5mLDdlxTA0M5pYR5DVH0FEWkGlyVdt\/hes\/isMuwsG3mx1GpFOpen4CerWr6Nu3Trq1q\/Hta8EAE9gEBXpPdg8ZAJLglPYFZWOJyiI\/qlR5GfFcFdWDEMyorU3kkgnpdLki8o3wIJ7IasArvyd1WlEvF7TiRPUrVlL3do11K5Ze26XbU9IKMfSc9iQP5ElQSnsjU7FPyiQIRnRXJoZy8+yohmUFk1IoG79F+kKVJp8zdljMOcWCE+EyS\/oTjmR82g+fZq6teuoW7Oa2jVrcZW0jCSFOTiWmcu6kcNYHJBCSUQSgUEBDM2MYUK3WIZ3i6VfSiSB\/lq0LdIVtfonps1m8wPWA4cNw5jQfpGk3bib4PXvQMMZ+N4HEBZrdSIRr+CuqTGn2lavoXbtWhp3taxJCg7hRFYuG0ZO4f3AVPZFJOHv78+g9CgmZMcxIjuWAWmRBPlrJEnEF1zIMMO9wE4gop2ySHtb\/Fs4uApunA3OflanEbGMp76euo0bW0rSGhq2bQe3GyMgkMqsXmwZcQPvBaayMyIVm78\/\/VMjuTI7jl9nxzIkI1o7bYv4qFaVJpvNlgpcC\/weuL9dE0n72PUOrHwC8r4H\/adYnUakQxluNw3btlFTVETdylXUbdkCTU3g58eZzByK8yfwXmAKWyPSaPYPoG9yJCOzY\/mv7FiGZsbgCNI0toi0fqTpMWAGoJ0PO6NTpTD\/LkgeBFfpiBTxDa5Dh6gtWkntypXUrl6Np7oabDbqM7uzO\/8qPghKY1VoCg3+QWTHhzG6Rzzfz45lWFYskaG6u01EPu8rS5PNZpsAnDAMY4PNZhv7Ja+7E7gTID09vc0CytfU1ACv3Qo2YMoL4K\/9YKRrcldXU7tmDbVFRdSuXHXuDjd3XAIHeg1leXgWCwPTqA4KIzYskJHd4\/htjzhG94gjKVKbSYrIV2vNSNNI4Bs2m+0aIBiIsNlsLxuG8a3\/fJFhGM8CzwLk5eUZbZ5ULs57P4djW2HaqxCdaXUakTZjNDVRv3WrOZpUVER9cTF4PBghoZzs3pf140bxVkAaZSFxBAb4kZ8Zw9094hjVPY7eSRHY7TrcVkQuzFeWJsMwHgQeBGgZaXrgs4VJvNS2ubDheRh5H+RcbXUaka\/NVX6Y2hXLqVlRSN2aNXhqa8Fupy6rJ9tHXc87gWmsD03Bbfejd1IE43vEMapHHEMzY7R4W0S+Nq1u7KpOH4AF90FqPlw60+o0IhfF43JRv349NctXULNixSf7JSUmUT5wFEvDs1hgT6YmMJQ4RxBjesZzc884RnaPI05Hk4hIG7ug0mQYxlJgabskkbbjboa5t5t\/njRbG1hKp9J05IhZkpYvp3b1aoy6OggIoCanH5uv\/BZzA9LZ5R+N3W5jcHo0P8iJZ2xOgqbcRKTd6adpV7TsUShfC5Oeg+gMq9OIfCnD5aJu48aWorTsk3PcEp0cGlzA4ohsFtiTafAPIs4RxNiceO7JiWd093jd5SYiHUqlqaspK4IVf4KBt0C\/yVanETmv5ooKzi5dSs2yZdStXIWnrg78\/ant1Y\/NV97CXP90dgbEnBtNukejSSLiBVSaupL60zDvDojOgqtnWZ1G5BzDMGjcs4eaJUs4+9ESGrZuBcCWkMjRvDEsjerOPMPJWb8gYsMCGZuTwA97aTRJRLyLSlNXYRjmwu+aE3D7IghyWJ1IfJzhclG7bh01Hy2hZskSmo4cAcCd05vdV0\/jzdBsljdHgs1Gz0QH38pN5PLcBAamReOn0SQR8UIqTV3Ftrmw499w2a\/Nnb9FLNB8+jS1y5dzdslSalesMLcECAqitu9gNuRdw6t+6ZQaofjbbQzLiuFXvRK5PDeR9NhQq6OLiHwllaauoPoovPNfkDoURt5rdRrxMa4DBzj74WJqliyhbuNG8HiwxcZxYsholsTm8JrHSa0tgMiQAC7tlcB\/5SZQ0DOeiGBNu4lI56LS1NkZBiy4F5ob4Yanwa4N\/KR9meuT9nJ20SLOLlpE4+7dANi79+Dg1d\/kHUc2bzdG4sFOVmwYt\/RO5LJeCQzJiMbfz25xehGRi6fS1Nltehn2vg9XPQpx3a1OI12U4fHQUFzM2UWLqF60iKYDB8Fmg7792XXj93g9JJuVtYEA9ImN4L4+Tq7q66RHggObTeuTRKRrUGnqzKoOwnsPQuZoyL\/T6jTSxRjNzdSt32COKH34Ic3Hj4O\/P+4BgynOv5p\/+WeytT4AmwFD4qJ5aKyT8X2cpMVofZKIdE0qTZ2VxwNv\/hAw4PqnwK5pD\/n6DJeL2lWrqP7gA2oWf4S7qgpbUBCuwflsGDuFl0hnf6Mdf7eNEZmx\/L6vkyt6J5IQHmx1dBGRdqfS1FlteB5Kl8N1j2vXb\/lajKYmalevoXrhQs5++CGe6mrsDgeNQ0ewNnUALzQ5KW+AYI+dMT3juaePk8t6JWr\/JBHxOSpNnVH1EVj0a8gaA4NvszqNdEJGczN169ZR\/e5Czi5ahLuqCntYGK7ho1mdPoh\/uBIor3UTVG9nXE4CP+ufxGW5CYQG6luGiPgufQfsbAzD3F7A0wzXPWYuxhVpBcPtpm79BqrfW8jZDxbhrqzEHhpK0\/BRrM0YxD+akjhQ00xgtZ0xOXH8tH8Sl+Um4gjStwkREVBp6nx2vAm734Ur\/htiulmdRryc4fFQv2kT1e8upPqD93FXnMQWEoJ72CWszxzMC+5kSs+6Cai2UdAjhnv7J3F570TtoSQich4qTZ1J\/WlYOAOSBsDwu61OI16sce9ezix4mzNvL6D5yFFsQUHYR4xkW\/c8XnCnsP10E\/7VNkZ2j+Hu8Ulc2dupNUoiIl9BpakzWfQrqD0JN78GfvpHJ5\/WdPw41W+\/w5m336Zx506w2wkcPoLSCd\/iFf8Mio40wEnIy3DwuzEpXNsvieiwQKtji4h0GvrJ21mUFcLGF81jUpIHWp1GvIT77FnOfrCIM28voG71GjAMAvv25eR3fsjrEbksPNxI0wmD7gn+\/HR8Dt8YkKx9lERELpJKU2fgbjIXf0elw5ifW51GLGa4XNQUFnLmrQXULFmC0dhIQFoa9TfdxtsJ\/XntmJ2aqmYS3AbfuSST6wem0Cc5Qjtzi4h8TSpNncGap6FiF0x7FQI1SuCrGnbsoGr+v6lesAB3VRV+0dHYJ1zP8vQh\/L0ylCPVjTiO2bm6r5MbBqUwvFssfnYVJRGRtqLS5O2qj8DSR6DHeMi52uo00sGaT5+mesECqubNp3HXLmwBAQSPG8fOfqN5wZXAmkNnsZfB6B4RPHhtKlf0TiQ4QIc2i4i0B5Umb\/fBQ+b03NWPWJ1EOojR3EzNihWcmTefs0uXQlMTQX36UPeDn\/BGVG\/+XVJDfYmbbnEeZlyVw42DUnFG6hgTEZH2ptLkzUqXw7a55jom7cnU5TWWlFA1bx5n3noLd8VJ\/GJiCLjxmyztls8\/jvtz6Fg9jtO13DAomclD0hicHqV1SiIiHUilyVu5m+CdByAqA0bdZ3UaaSeeujqqFy6k6rXXqd+yBfz8CCsoYH\/eOJ53J7NsfxW2XU1ckh3Bf12Rw\/g+TkICNf0mImIFlSZvteYZOLkbps2BgBCr00gba9i9m6o5czjz1gI8NTUEZmcTcM99vJ04gJd313BybyPJkQ3cd3kPJg9JJTVaNwCIiFhNpckb1VbCslnQ\/XLIucrqNNJGzFGl9zj92hwatmzFFhhI2JXj2ZN\/Oc+fiaCwpBL74Uou7ZXILcPSKegZr7vfRES8iEqTN1r2CLhq4MrfW51E2oA5qvQaZ956yxxV6taNgB\/fz1uJA\/nnzipObnSRElXH\/Vf05Jt5aVrULSLipVSavE3FHlj3HAz5DiT0sjqNXCRPY6O5Vulfr1K\/ZQu2wEAcV17JvmFX8NyZCFbsq8SvvIJLeyVwc75GlUREOgOVJm+zaCYEhsHYB61OIheh6ehRTv\/rVapefx336dMEZmURfv8DLEwezAvbTnN4Qz1JkbUaVRIR6YRUmrxJyRLY8x5c\/htwxFudRlrJMAzq1q7j9CuvcHbxYjAMHOPGceaqG3i6Po63th6lcf8RRnSLZeaEXC7PTcTfz251bBERuUAqTd7C4zY3sozKgGE\/sDqNtIKnro4zC97m9Cuv0LhnD36RkUTddhsbB17K30sa2VB0mpCAY0weksqtIzLJcYZbHVlERL4GlSZvsfkVOL4NprwAAZqy8WauQ4c4\/co\/qZo3D091NUG5uThmPsy8qN68vPk4FR8dIzM2lJkTejN5SCqRIQFWRxYRkTag0uQNmhrM8+VS8qD3DVankS9Qt3ETp55\/nrMffgh+fkRceQU1V0\/k6apw\/r35KE2eg4ztGc9tl2RS0CMeuxZ2i4h0KSpN3mDdbKg+DBOfAR2L4VUMt5uzHy7m1PPPU795M\/aICGJu\/x4lI6\/hkR1nWba4guCAGr45NJXpI7PoFu+wOrKIiLQTlSarNVTDij9D9qWQNdrqNNLCU1tL1bz5nHrxRZoOHSIgNZW4B3\/Biu7DeXbdUXb9ez9xjiD+64qe3DI8g5iwQKsji4hIO1Npstqqp6D+FFz2K6uTCNB0\/ASnX36Z06+9hufMGUIGDsTx4\/uYG5rNP1Yf4sTOPeQkhjNrcn+uH5hMkL\/OgRMR8RUqTVaqPQmrnoTe10PyIKvT+LTG0lIqZ8\/mzFsLoLmZ8Msvh6k3848zEbyy5iB1rn2M7hHHH6cMoKBHHDZNo4qI+ByVJiut+F9oqoNxD1mdxGc17NrFyWee4ex772MLDCR6ymQarp\/KX\/e7eGNhOW7jFNf1T+L7Y7LJTYqwOq6IiFhIpckq1UfMBeADb4b4nlan8Tl1GzdR+cwz1Cxbhj0sjNjbv0fl1Tfyh61VLHh1H\/52O1PyUvl+QTbpsaFWxxURES+g0mSVwsfAcEPBDKuT+AzDMKgtWknlM89Qt24dflFRxN\/7Yw4WXMMf15\/gwxd3EBbox+2ju3H7qCwSIrRfloiIfEKlyQrVR2HDC+YoU3SG1Wm6PMMwqFm8mJN\/e5qG7dvxT0wk8cGfs2foZfy6sJxVL20jKjSAn1zek9suySAqVHfCiYjI56k0WaHocfA0w6j7rU7SpRmGQc2SpVQ8+Rcad+wkID0d53\/\/ln0DRvPrZWWsfHEL8eFBPHRtLtPy0wkL0v8dRETki+mnREc7eww2PA8DpkFMltVpuiTDMKhdvpyKvzxJw7ZtBKSlkfSHP1Ay4BIe\/qiUwr9vIM4RxMwJvbllWDrBAdo2QEREvppKU0db+RdwN8FojTK1NcMwqC0souLJv9CwZSsBKSkk\/f537B9UwG+W7GfFs+uIDQvkoWtzuWVYBiGBKksiItJ6Kk0dqeYErHsO+n8TYrOtTtNlGIZB3apVVPzlSeo3bcI\/OQnnb3\/DoaHjuG9pKUufXUtMWCAPXt2Lb4\/IIDRQ\/9qLiMiF00+PjrTqSXA3wugHrE7SZdQXF3PiT3+mbs0a\/J1OnA\/\/mlOjr+ShpWW888xaokMD+NlVvbh1RIbWLImIyNeinyIdpb4K1v0det8Acd2tTtPpNZaWUvHY45x9\/338oqNJ\/MWDuK6+nlkrDvLaU6sJ9rdz72U9uH10FuHBAVbHFRGRLkClqaNseB5cZ2HUfVYn6dSajp\/g5FNPUTV3LragIOJ++EP8p32LZ9cf4\/knVuL2GHx7eAb3XNqdOEeQ1XFFRKQLUWnqCM2NsPpv0G0cJA2wOk2n5K6upnL2c5x68UUMt5vom24i\/PY7eHlPDX99ai3VDU3cMDCFn1zeUzt4i4hIu1Bp6ghb50DNcZj4jNVJOh2jqYnT\/\/oXJ5\/6K+4zZ4iYMIHYH\/2I9075MeuFbRw508DYnHhmjO9F72SdDSciIu1Hpam9eTxQ9AQ4+0O3sVan6TQMw6Bm6VJOzPojrtJSwi4ZQcIDD7A9zMndb+9ky6Eq+qVE8udvDmREdqzVcUVExAeoNLW3PQuhci9Meg5sNqvTdAoNe\/Zw4pFHqV25ksCsLFKf\/htV\/YfywHu7eXvrKhIjgvjTlAHcOCgFu11fUxER6RgqTe2t6HGISjfvmpMv1XzqFBVPPEHVa69jDw8n8Re\/IODGyfyt8ACz\/3c5dhv8+LIe\/OD\/t3ff8W1V9\/\/HX1e2LO894xUnzt6LDCBhtJRRCi1Q6JdZ9oYvbdnfHwVKB6UUSlsoLbRsWkbDhjLCbMgm0yRx4iS2472XZMs6vz\/kKAlZTmJZlvx+Ph56SDq6vvrIF8Vvzjn33HnDtNaSiIj0O\/3l8afSxVC6CE66H8L0q94X09lJ\/TPPUvvoo3icTpLOPZeUq67itZI2fv3QF9S2uvj+lGx+9p1RDEmMCnS5IiIySOkvuT8tegwcCTD53EBXMmC1ffkllff+gs5Nm4iZN5eMW26hODKFa\/65lmVbG5iSl8jfLpzO5NzEQJcqIiKDnEKTvzRXwLrX4IgrwBEb6GoGnK6qKqp\/cz\/Nb7+NPSeHnEf\/jGfWUfzyP+t55ssikqIj+O2ZEzljao7mLYmIyICg0OQvS58ETzcccWmgKxlQTFcX9c8+R+0jj2DcblKvvZakiy\/m3+tq+fUDH9PQ3sn5s\/K56dujSIjWSt4iIjJwKDT5g9vlDU0jT4TkYYGuZsBoX7KEynvuxbVxIzHz5pJ5xx1ssidy5VMrWLa1gWn5STx92hGMG5IQ6FJFRET2oNDkD2tehfZamHlFoCsZELqbmqi6\/36aXnkV+5Ah5Pz5T4QfNZfff1TMXz9dQ0KUXUNxIiIy4Ck09TVjvBPAU0cN+sUsjTG0vPcelb+4j+6GBlIuu5TUq6\/my\/I2bn\/4M7bUtXPWtBzuOGUMidERgS5XRERkvxSa+lrZEqj4Ck753aBezLKrspLKe+6l9aOPiBw3jry\/Po4zfzi3vFnES8vKyE+J5vlLZzKnMDXQpYqIiPSKQlNfW\/QX7zIDE88JdCUBYTweGl58kZrfPYjp7ib95ptJOv883lxXwz0PfkJDexdXHTOcG44fQaQ9LNDlioiI9JpCU19qq4Wi12HajwflMgOukhIq7riTjuXLiZkzh8y7f05jYhqXP7+SD4qqmJiTwFMXa6K3iIgEJ4WmvrTyBejuhGkXBbqSfrYoXcoAACAASURBVGU8HhqefY7qBx\/EcjjI+vWviP\/e93hzdSX\/7++f0tHZzR0nj+HiowoI00RvEREJUgpNfcUYWPYU5M6EjLGBrqbfdJaVU3H77bQvXkzsvHlk3nsPzdEJXPvCCt5eXcnk3EQeOGsShemDr+dNRERCi0JTX9n6X6jbCEc\/GuhK+oUxhsaXX6b6V78GyyLrvvtI+MH3eW9tFXfO\/5TmDjc3nziKy48eRniYLdDlioiIHLYDhibLsiKBTwFHz\/YvG2Pu8ndhQWfZP7wTwMeeHuhK\/K6rqpqK\/7uTtk8\/I3rWLIbc9wvak9O56V8r+feKcsYNiee5SyczKjMu0KWKiIj0md70NLmA44wxrZZl2YHPLct6xxjzpZ9rCx7t9d7rzE29ACKiA12NX7V88AEVd9yJx+Ui4847SfqfH7F0WyM3PvwZlc1Objh+BNceV4hdvUsiIhJiDhiajDEGaO15au+5GX8WFXRWvgjdLph2YaAr8RtPRwdVv\/4Njf\/8J5HjxzPkt\/cTlpfPQx8W88hHG8lJiublK2czJS8p0KWKiIj4Ra\/mNFmWFQYsAwqBPxljFvm1qmBiDCx\/GrKnQeaEQFfjF86vv6b8Jz+lc9MmUi69hLTrr6es1c2Nj3\/Jsq0N\/GBqNvecNp5Yh6bIiYhI6OrVXzljTDcw2bKsRODflmWNN8as2XUby7IuBy4HyMvL6\/NCB6yKlVBTBKc8GOhK+pwxhoZnnqX6t78lLDGRvCefIGbOHF77qpw7\/+09\/A+fM5nTJmcHuFIRERH\/O6iuAWNMo2VZHwMnAmu+8drjwOMA06dPHzzDdytfgLAIGPf9QFfSp9wNDVTcehutn3xC7LHHknXfL3DHJXDLy6v459JSpuUn8dDZk8lNDu05XCIiIjv05uy5NKCrJzBFAd8CfuP3yoJBdxesfglGnQTRyYGups90rFpF2Y030l1TS8Ydd5B03rlsqWvn6j\/\/l6KKZq45djj\/+62RWkpAREQGld70NGUBT\/XMa7IB\/zLGvOnfsoJE8QfQXgeTfhToSvqEMYaGF16g6le\/xp6WRv7zzxE1YQLvrK7gZy+vIjzM4u8XzeDY0emBLlVERKTf9ebsuVXAlH6oJfh89TxEp0LhtwJdyWHztLVR8f\/uovmtt4idN48hv\/k13bHx3PPGOp78ooRJuYn8+dypZCdGBbpUERGRgNDpToeqvR42vAvTL4Ewe6CrOSyu4mLKbriRzpIS0v73f0m57FIqW1xc\/fhCVmxr5KI5Q7n95DFEhGs4TkREBi+FpkO19lXvxXknB\/fQXPP777P9lluxRUV5z46bNYulW+q58tlldHR286f\/mcopE7MCXaaIiEjAKTQdqpUvQvpYyJwY6EoOifF4qP3zo9T+8Y9ETppIzh\/+gD0jgxcWb+P\/vbaG7MQoXrhsFiMydCkUERERUGg6NA1boWwJHH8XWFagqzlonrY2tt96Gy3vv0\/C6aeTeffP6Q6383\/z1\/DMl1uZOzKNR86ZQkJ0cA87ioiI9CWFpkOx9t\/e+yBcm6mzrIyyq6\/BVVxMxm23knTBBdS3dXLVPxaxuKSeK+YO4+YTRxNmC74wKCIi4k8KTYdi7avey6YkFwS6koPStngx5dffgDGG3L8+TuyRR7K+soWL\/7GE2lYXD509mdOnaHVvERGRvdHpUAerbpP30injfhDoSg5K02uvse2SSwlLSaHgX\/8k9sgj+XxjLWc++l+6uj28dOVsBSYREZH9UE\/TwVrzqvd+3OmBraOXjDHUPvootX94hOiZM8l55A+ExcfzryWl3P7v1RSmx\/LERTO0\/pKIiMgBKDQdrLWvQt5sSMgJdCUHZLq6qLjr5zS9+ioJp51G1r33gN3OA++t548Lijl6RCp\/PncqcZGa8C0iInIgCk0Ho7oIqtfBSb8NdCUH1N3SQvkNN9D234WkXnstqddcjcvt4eYXv+L1lds5Z0Yu954+HruuHyciItIrCk0HY82rYNlg7GmBrmS\/uiorKb3sclwlJWT96lckfv90WpxdXPb0Ur7cXM\/NJ47iqnnDsYJwuQQREZFAUWg6GGv\/DflHQlxGoCvZJ1dJCdsuuQRPUzN5f32cmNmzqW11ceGTi1lf2cLD50zmtMma8C0iInKwFJp6q2YD1G2EmVcEupJ9cq5bx7ZLLwMg7+mniBo3jtL6di54cjEVTR387cLpHDMqPcBVioiIBCeFpt76+k3v\/aiTA1vHPrQvWULpVVdji48j729P4BhWwIaqFs5\/YhHOLg\/PXTqLaflJgS5TREQkaGkWcG99\/RYMmQoJA29oq+WjBWy79DLC09MZ+txzOIYVsHxbA2c9thBj4F9XzFZgEhEROUwKTb3RXAHlS2H0KYGuZA\/Nb79N2XXX4RgxgvznnsWelcXiknrO\/9sikqLtvHLVHEZl6qK7IiIih0vDc72x\/m3v\/ejvBraOb2h6402233ILUVOmkPuXxwiLjWXhpjou\/scShiRG8sJls0iPjwx0mSIiIiFBPU298fVbkDwc0kYFuhKfptdfZ\/sttxA9dSp5j\/+FsNhYviiu5cf\/WExOUhQvXK7AJCIi0pcUmg7E2QQln3qH5gbIukaN8+ez\/ZZbiZ4xg9zH\/4ItJoZPNtRw8T+WMDQlxhuY4hSYRERE+pJC04FsfB88XQNmaK7xlVepuO12omfNJPexR7FFR7NgfTWXPb2UYWmxPH\/ZLFJjHYEuU0REJORoTtOBfP0WxKRBzvRAV0Lj\/PlU3HknMbNnk\/PnP2GLjOSL4lqueGYZI9Jjee7SmSRGRwS6TBERkZCknqb96e6C4g9g5IlgCwtoKc3v\/YeK2+8getZMX2BauqWeS59aSkFKDM9eosAkIiLiTwpN+1O6CFzNMPI7AS2j9bPPKP\/pT4maNIncP\/4RW2Qka8qb+PHfl5CZEMkzlx5BUowCk4iIiD8pNO3Pxv+AzQ4F8wJWQvuSJZRddz2OwkJy\/\/IYtpgY30rf8VF2nrt0piZ9i4iI9AOFpv3Z+AHkzYLI+IC8fcfqNZReeRX2IUPIe+JvhMXHs62unfP+tgh7mI3nLp3JkMSogNQmIiIy2Cg07UtTOVSvhRHfDsjbu0pKKL3sMsKSksj7+5OEJydT1+rigicX0dnt4blLZzI0NSYgtYmIiAxGCk37Uvy+937ECf3+1u7aWkovuxxsNvKe+Bv2jAzaO91c\/NRSKpqcPHHhDEZk6NIoIiIi\/UlLDuzLxvchPgfSRvfr23ra2ii94krcdXXkP\/0UEfn5uLs9XPv8ClaXNfLYedN08V0REZEAUE\/T3rg7YfMn3qG5flwF3LjdlN10E86iIrIf\/B1REyZgjOHO+Wv46Otq7j19PCeMy+y3ekRERGQnhaa9Kf0SOlv6dT6TMYbKu++m7ZNPybzrLuKOPRaAhz\/cyItLSrnuuELOnZnfb\/WIiIjI7hSa9qb4Q7CFQ8HcfnvLur88TuNLL5Ny1ZUknf1DAF77qpyHPtjIGVNzuOnbI\/utFhEREdmTQtPelHwCOTPA0T+TrZvff5+ahx4i\/tRTSbv+egBWbGvgZy+v4oiCZH71gwlYA+RiwSIiIoOVQtM3dTTA9q9g2DH98nbOoiK233wLkZMmkvWLe7Esi+2NHVz+zDIy4yN57LxpRITrMImIiASazp77pi2fA6ZfVgF319ZSevU1hMXHk\/PII9gcDto73Vz29FI6Ort57tKZJOvyKCIiIgOCQtM3bf4Y7DGQPc2vb+Pp7KTsuuvpbmgg\/9lnsaenY4zhJ\/9aSVFFM09cNIORWotJRERkwFBo+qbNn8DQIyHcvz08Vff+go4VK8h+6PdEjR8HwGOfbOadNZXcecoYjh2V7tf3FxERkYOjyTK7aiqHuo1+H5prfOVVGl96iZTLLyf+xBMB+KK4lt++9zXfnZjFJUcV+PX9RURE5OApNO2q5BPv\/TD\/hSZnURGV99xD9KxZpN3gPVOuoqmD619YwfC0WH5zxkSdKSciIjIAKTTtavMnEJ0K6eP8svvu5mbKbriRsIQEsn\/3AFZYGC53N1c9uxxnVzePnjeNGIdGTEVERAYi\/YXewRhvT1PBXLD1fZY0xrD9ttvp2r6d\/KefJjwlBYBfvFnEV6WN\/PncqRSmx\/b5+4qIiEjfUE\/TDvWboaUChh7ln90\/+SStH35Ixs0\/I3rqFADeXl3BM19u5bKjCzh5QpZf3ldERET6hkLTDtsWeu\/zj+zzXXesXkP17x8i7oQTSDr\/fADKGzu49ZVVTMpN5OYTR\/f5e4qIiEjfUmjaYetCiEqGtFF9ultPWxvlP\/0J4WlpZN17D5Zl4e72cOOLK\/AY+MM5k7GH6TCIiIgMdJrTtMPWLyBvNvTxmWuV9\/2Srm2l5D\/9FGEJCQA88lExS7Y08NDZk8lPienT9xMRERH\/UBcHQEslNJRA\/pw+3W3z22\/T9OqrpFx5BdEzZgCwuKSeRz7ayA+mZHP6lOw+fT8RERHxH4UmgK3\/9d7nz+6zXXaVl1Nx18+JnDSRtKuvBqCpo4sbX1xBXnI095w+vs\/eS0RERPxPw3PgnQRuj4HMSX2yO+PxsP3W28DjIfuBB7DsdgDufXMdVS0uXrlqDrFaj0lERCSoqKcJvD1NuTMgrG+CTMPzL9C+ZAkZt91KRG4uAB8WVfHysjKumjecybmJffI+IiIi0n8UmjoaoWptny010LltG9W\/+x0xRx9NwhlnANDY3smtr65mdGYc1x1f2CfvIyIiIv1LY0SliwDjPXPuMBmPh4o77sQKC\/MtLwDw89fX0tDWyd8vmoEjPOyw30dERET6n3qati0Emx1yph\/2rnYdlrNnZgLw3tpK5n+1nWuOLWR8dsJhv4eIiIgEhkJT2VLIHA\/2qMPaTWdZ2c5huR\/8AIBmZxf\/N38NY7LiufY4DcuJiIgEs8EdmjzdsH0F5Mw4rN0YY6i8xzscl3XP3b5huQfeW09Nq4tf\/2CCVv0WEREJcoP7L3nN19DZCtmHNzTX8t5\/aPv0M9JuuB57lvfCuyu2NfDMl1u5cPZQJulsORERkaA3uENT2VLv\/WHMZ+pubaXql7\/EMWYMSeeeC4C728Pt\/15DepyDn5wwsi8qFRERkQAb3GfPlS+FqCRIHnbIu6h5+A+4a2rI+eMjWOHeX+ffv9hCUUUzj503lbhIe19VKyIiIgGknqbsaYd8kd6ONWtpeO45kn50DlETJwJQ3tjBg+9v4Ftj0vnOuMy+rFZEREQCaPCGJlcLVBcd8nwm4\/FQec89hKUkk3bjjb72X71dhMcYfv69cb4J4SIiIhL8Bm9o2r4CMId85lzzG2\/gXLWK9J\/8hLD4eAAWl9Tz5qoKrpw3nJyk6D4sVkRERAJt8IamHZPAs6ce9I962tqo\/t2DRE6YQML3vgdAt8dw9xtryUqI5Mp5w\/uyUhERERkABm9oKl8GycMhOvmgf7TuiSdwV1eTcdttWDbvr\/DlZaWs3d7MrSeNJipCl0oREREJNYMzNBkDZUsOaamBru3bqXviSeJPPpnoqVMAaHF28dv31jM9P4nvTRrS19WKiIjIADA4Q1NLBbRWec+cO0jVv3sQgPSf\/sTX9sePiqlt7eT\/nTpWk79FRERC1OAMTRUrvfdZkw\/qxzq++ormt94i5ZKLsQ\/x9iiVN3bw9\/9u4YypOUzM0crfIiIioWoQhybLe6HeXjLGUP27BwlLTSXlkkt87Q+9vwEM3KSVv0VERELa4A1NqSMgIqbXP9L2+Re0L1lC6pVXYovx\/tzGqhZeWV7G+bPzyU6M8le1IiIiMgAcMDRZlpVrWdYCy7KKLMtaa1nWDf1RmF9VrISsSb3e3BhDze9\/jz07m6QfnuVrf+A\/64mOCOeaYwv9UaWIiIgMIL3paXIDPzHGjAFmAddYljXWv2X5UVstNJcfVGhqee8\/ONetI\/W6a7EiIgBYvq2B99ZWcfncYSTHRPirWhERERkgDnjBXmNMBVDR87jFsqwiIBtY5+fa\/MM3Cbx3ocm43dQ8\/DARhcNJOPVUX\/tv311PamwElxxV4I8qRUREBgVjDK1drbR0ttDc2ey9dzXT3NlMZ3cnZ48+O9Al+hwwNO3KsqyhwBRg0V5euxy4HCAvL68PSvOTHaEpc0KvNm964006S0rIfuQPWGHeRSsXl9SzcHMdd54yhhjHQf0KRUREQk6Xp4tmV\/Puwaez2dvWtTME7bjtCEYtXS20dLbgMZ697tdus\/PDUT8cMMv59PovvmVZscArwI3GmOZvvm6MeRx4HGD69OmmzyrsaxUrITEfopIOuKnp7qbuscdwjB1D3Le+5Wt\/5KONpMZGcO7MfH9WKiIi0m\/cHjctnS00uZpo6myi2dVMU2cTTa6dj3cNRrsGoA53x373HWGLIN4RT1xEHPER8aREpjA0fijxEd62BEeC73F8RPxu2w4kvQpNlmXZ8Qam54wxr\/q3JD+rXNXrobnmd96lc+tWsv\/wsC\/lLtvawGcba7n9ZF0uRUREBh6n27lH8Gl2Ne81DDW5mnbrEdqfGHuMN9D0hJq8uDziHfG7hZ29BaC4iDgiwyP76dP71wFDk+VNC08ARcaYB\/1fkh85m6F+M0z+nwNuajwe6v7yGI4RhXv0MiXHqJdJRET8x2M8tHa1+kKNr7fnAMGnqbMJV7drn\/sNs8J8oSbeEU9qVCrDE4f72na93\/VxXEQcdpu9H38DA1NvepqOBM4HVluW9VVP2+3GmLf9V5afVPfMXc848Hymlg8\/xLWxmCEPPOC7KO\/K0kY+Xl\/DzSeO0lwmERHplS5PF02uJhqdjTS6vnHraWtyNdHgavBu52qkubN5n\/N8AKLCo3YLOfnx+d6gE5Hg6\/3ZEXx2tCVEJBBjjxkw84OCUW\/OnvscCI3fcNVa733G\/ldMMMZQ++ijROTnE3\/Sib72Rz7aSGK0nQtmD\/VjkSIiMlA53c4DBp9GVyNNzp0hqLWrdZ\/7iwyLJMGRQKIjkcTIRDJjMkl0JO4RdnwBqCckRYRpqZtAGFzdJdXrICIOEnL3u1nbp5\/iWldE1n33+c6YK65u4YOiam44fgSx6mUSEQl6TreTBmcD9a56GpwNuwWgXW9NriYanN4A5Ox27nN\/sfbY3QJQfkK+9\/Gut8idjxMcCUSF62oSwWRw\/fWvLoL0MXCArsm6J\/9OeGYmCd\/buS7T3z4rwRFu44LZmsskIjLQGGNod7dT7\/QGoAZng\/exa5fHPe0NLu\/zfZ3xZWER74gnyZFEgiOBjOgMRiWN2mvoSXIkkRiZSEJEAvYwzfkJdYMnNBnjHZ4bd\/p+N3OuW0f7okWk\/+ynWHbvF6CmxcWry8s5a3oOKbGO\/qhWRGRQM8bQ3Nm8W8jZWxjaNRB1ejr3ui9HmIOkyCSSHEkkRyYzNGEoSZHex0mOJO9rkUkkOhJJciQRFxFHmE1nR8ueBk9oaqkAZyOkj9vvZvVPPYUVHU3iWTuvMffMwi10eTxa\/VtE5DB0uDuo66ij3llPXUcddc463\/NdbzuGydzGvdf9RIdH+0JPWnQaI5NGegNQT\/jZNQwlRyYTFR6lyc\/SJwZPaKracebcvieBd1VV0\/T2OySdcw5h8d4FtTo6u3nmy618a0wGw9Ji+6NSEZGgsOPyF7sGoDrnLqHoG8\/b3e173U9cRBwpkSkkRSaRF5fHpLRJu4cgx87HSZFJOMLU4y+BMXhCU3XPmXPp+w5NDc8\/D243yRec72t7ZXkZDe1dXHb0MH9XKCIScB7jodHVuDPwdNTvPRD1vLa3ITELy9fLkxKVwoTUCb7HKZEpu90nRybrTDAJGoMnNFWtg7gsiE7e68ue9nYaX3yRuG8dT0Su9+w6j8fw5OclTMpNZMbQA192RURkoHJ1u6hpr6G2o5bajlpqOnZ5vEt7vbOebtO9x8+H28K9wScyheSoZIYnDveFn28GokRHIuG2wfPnRQaPwfNfdfXa\/fYyNb3+Ot1NTSRfdJGv7YtNtWyubeOhsydrPFxEBpwdk6XrOuqo6ajxBqH2vYSijhpaOve8RIbNspESmUJqVCqpUamMSRmzsyfoG71C8RHx+ndQBr3BEZq63VCzAQrm7fVlYwwNz7+AY+wYoqZO9bU\/s3ArKTERnDQhs78qFRHx\/pvkaqC6vZrq9mpfT9COIFTTUUNdRx21HbV7vWRGZFikLwgNTxzOzKyZpEWl+drSor2PkxxJOktM5CAMjtDUsAW6XfvsaepY8RWuDRvIvOdu3\/9JbW\/s4IOiKq6cNxxHuP5REZG+4XQ7qWmvoaq9yheKqtqrqOmo8T2vbq+my9O1x88mOBJIjUwlNTqVKelTSItKIyUqhbSoNF8QSo1KJdYeq14hET8YHKGpdr33Pm30Xl9u\/OeL2GJiSDjlFF\/bC4u3YYD\/mZnXDwWKSLDzGA\/1znpq2mt8QWjXELQjGDW5mvb42ajwKDKiM0iPTmdy+mTSo9N9z9Oi0kiPTic1KlUTpkUCbJCEpg3e+9TCPV5yNzTQ\/M67JJ55BraYGAA63R5eWFzKcaPSyUmK7s9KRWQA8hgPtR21VLZV7ry1e+99Q2gdNbg9u68rtGPOUHp0OrlxuUzLmLYzDEWn+R6rZ0gkOAyS0LQRYjMhMmGPl5rmv4bp7CTx7HN8be+traS21cV5umSKSMgzxtDoatwjDO16q26v3mOhxR29QxkxGczInOHrEdoRhNKj00mJStFZZCIhZHB8m2s3QOqIPZqNMTS++CJRU6cSOWqkr\/1fS0vJToxi3oi0\/qxSRPygrauNyrZKKtoq9ugpqmqrorKtco+LsIbbwsmMziQzJpOpGVPJjMn0Pd9x09lkIoNP6IcmY7yhafyZe7zUsWwZnVu3knXVlb628sYOPi+u5brjRmCz6R9EkYFsxyn321u3e29t23d7XN5avsep9jbLRmpUKpkxmYxMGsncnLlkxWTtFoiSI5OxWbYAfSoRGahCPzS11YCzCVJH7vFS4\/z52KKjiT\/hBF\/bq8vKMAbOmpbTn1WKyF7sGDrbNRCVt5ZT0VpBeVs521u309bVttvPRIVHkR2bzZDYIUxOm0xWbJavlygrJovU6FTsNl2NXkQOXuiHJt8k8N2H5zzt7bS88y5xJ56ILdo72dsYw8vLy5g1LJncZE0AF+kPTa4mylrKKG0t3dlLtEtvUYe7Y7ftY+2xDIkdQnZsNjMyZvgeZ8VmkR2TTYIjQcNmIuIXgyg07d7T1PLBB3ja2kg4\/TRf2+KSerbWtXP9cXvOfxKRQ+P2uKlsq6SstYzSllLKWsq8IamllLLWsj2Gz+Ij4smOzSY\/Pp\/ZQ2bvDEQ9vUfxEfEB+iQiMtgNgtC0EezREJ+9W3PT\/PnYc3KInj7d1\/bSsjJiHeFaAVzkILV2tvpCkC8QtZRR1lpGRWvFbmeehdvCyYnNITsum4lpE8mNyyUnLsfbFptNbERsAD+JiMi+DYLQtAFSCsG2c1JnV0UFbQu\/JPXqq7F62ts73by9uoJTJw4hOiL0fy0iB6vJ1cTW5q2+27bmbb6g1Ohq3G3bREciObE5jE8Zz4lDTyQnLscbjmJzSI9O16U7RCQohX46qN0AOUfs1tT0+htgzG5Dcx99XU17ZzenT8n+5h5EBo22rjZfINrSvIVtzdvY2uJ9vmswslk2smKyyIvL44T8E7w9RT3BKDs2m7iIuAB+ChER\/wjt0NTZDo2lMOX83Zqb33qLqClTiMjN9bW9\/tV2MuIdHFGQ3N9VivQrp9vJtpZt3kC0a89RyzZqO2p32zYzJpP8uHy+nf9t8uPzyY\/PJy8+j5zYHF3SQ0QGndAOTfWbAQMpw31Nrk2bcG3YQMbtt\/vamp1dfLy+hvNm5ROmtZkkRNQ76ylpKmFz02bf\/ZamLWxv3Y7B+LZLjUolLy6Po7OPJi8+j6HxQ8mLzyM3Lpeo8KgAfgIRkYFlEIQmIHmYr6n57XfAsoj7znd8bf9ZW0Vnt4dTJ2X1d4Uih6Xb0832tu2UNJX4bjtC0q7DaZFhkRQkFDAxbSKnFZ5GQXwBefF55MXlaeK1iEgvhXZoaijx3icVAD2rB7\/7LtHTp2PPSPdt9sbK7eQmRzE5NzEQVYocUJeni61NWyluLGZz02ZfMNravBVXt8u3XXJkMgUJBXw7\/9sUJBRQkFDAsIRhZMZkaoVrEZHDFNqhqb4EopIgyhuGXBs20rlpE8nnnbtzk7ZOPi+u5Yq5w7QgngScx3gobylnY+NGihuLKW4oZmPjRrY0b8Ht8Z62b7NsZMdmU5BQwJwhc3zBaGj8UBIjFfxFRPwltENTQ8nuQ3PvvA02G3Hf\/rav7Z01FXR7DKdOGhKICmWQMsZQ3V7tDUaNxWxs2OjrRdp1Bezs2GwKEwuZlzOPwqRCChMLKUgowBHmCGD1IiKDU2iHpvoSyJkB9AzNvfMO0TOPIDw11bfJu2sqGZYaw+hMnSIt\/tHh7qC4oZj1Dev5uv5rNjZsZGPjxt1Wwk6NSqUwsZAzRpzBiKQRFCYWMjxxODH2mABWLiIiuwrd0OTuhKZSmPhDAFwbNtC1dRspF1\/i26Spo4uFm+q45OgCDc1Jn6jtqGV9\/XpfQFpfv54tzVvwGA\/gvW7aiKQRnDT0JF\/PUWFiIUmRSQGuXEREDiR0Q1NTKRiPbxJ460cfARB33LG+TT5eX43bYzhhrC6bIgen29PN1pat3oBUv56vG7wBadd1jobEDGFk8khOGHoCo5NGMyp5FNmx2QroIiJBKnRDU33PmXPJ3tDU8tECIidNJDwtzbfJ++uqSI11MEVnzcl+eIyHLc1bWFu7lnV161hXt46i+iLf3KNwWziFiYXMGTKH0cmjGZ08mpFJI0lwJAS4chER6UuhG5p2WW6gq6oa5+rVpN14o+9ll7ubj9fXcOqkLGxa0FJ6eIyH0pZS1tWtY23tWtbWraWovoi2rjbAu97R6OTRkgBIMwAAGsBJREFU\/GDEDxidPJoxyWMYljAMe5g9wJWLiIi\/hW5oqi+B8CiIy6T1nZcAiN1laG7hpjpaXW4NzQ1ylW2VrKxZydq6tayr9fYitXR5J2hH2CIYnTyaU4edyrjUcYxLGUdBQgHhttD92oiIyL6F7r\/+DSXeoTnLovWjj7Dn5OAYMcL38vvrqoiOCGP28JQAFin9yel2UlRfxKqaVaysWcnKmpVUt1cD3iG2UUmjOKngJMamjGVc6jiGJw7HblMPkoiIeIVuaKr3rtHkaW+nbeFCEs852zcB1+MxvL+uimNGpRFpDwtwoeIPxhjKW8tZWbOSVTWrWFWziq8bvvYtEJkdm830jOlMTJvIxNSJjEoepQvQiojIfoVmaPJ4vD1NhcfTtnAhprOTuOOO8728rqKZ6hYXx4\/OCGCR0pe6PF0U1RWxvGo5y6uXs7JmJfXOegCiwqMYnzqeC8deyKS0SUxIm0BqVOoB9igiIrK70AxNrZXgdkLSUFpeX4AtLo7oadN8L3+yoQaAuSPT9rUHGeA63B2sqlnF8qrlLKtexqqaVb6z2fLi8jgq+ygmpU1iYtpEChMLNQ9JREQOW2j+JWnYCoBJHErbZ88RM2cOln3n3JRPNtQwbkg8aXG6FEWwaHI1saJ6hS8kratdh9u4sbAYlTyK7xd+n6kZU5mWMU29SCIi4hehGZqaSgHobLRwV1URc+Qc30vNzi6Wb23g8rnD9vXTMgC0dbWxrGoZiysWs6hyEevr12MwhNvCmZA6gQvHXcjUjKlMTp9MfER8oMsVEZFBIDRDU+M2ANpWe9dqij3ySN9L\/y2uw+0xzNPQ3IDi6naxqmYVX1Z8yeKKxaypXYPbuLHb7ExOn8xVk69iesZ0JqROIDI8MtDliojIIBSaoampFKJTaF20hIiCAuzZ2b6XPt1YQ6wjnKn5utZXIHmMh6L6IhZuX8iiikWsqF6Bq9uFzbIxLmUcF42\/iCMyj2BK+hSFJBERGRBCMzQ1luKJyaF98RISzzzT12yM4ZP1NcwZnoI9zBbAAgenemc9\/93+X74o\/4L\/bv+v7+y2wsRCzhp5FkdkHsH0zOnERcQFuFIREZE9hWZoaiqloyUL46zZbT5TSW0b5Y0dXHnM8AAWN3i4PW7W1K7h8\/LP+aL8C9bWrcVgSHQkMmfIHI7KPorZQ2Zr4raIiASF0AtNxkBjKW3bs8BuJ+aII3wvLdxcB8CRWgXcb5pcTXxa9imflH3Cwu0Lae5sxmbZmJA6gasmX8XR2UczJnkMYTYtKioiIsEl9EJTex24O2graSJq0kRsMTG+l77cXE96nIOC1Jj97EAOVmlLKR+XfsyC0gUsr1pOt+kmJTKFY3OP5aico5idNZsER0KgyxQRETksoReaGrfR3Wnh3FpD6kln+JqNMSzcVMeRhSm+y6nIofEYD2tr17KgdAELShdQ3FgMeOcmXTz+Yo7JPYbxqeOxWZo3JiIioSP0QlNTKR21EeAxRM+Y4WveVNNKbauL2cM0NHcoPMbDV9Vf8Z+t\/+H9Le9T3VFNmBXG1Iyp\/Gz6zzg291hy43MDXaaIiIjfhF5oaiylvToCwsOJmjzZ17xwk3c+02zNZ+q1HUHpvS3v8cHWD6juqCbCFsFR2UfxrfxvMTdnrobdRERk0Ai90NRUSlttFFETJ2KLivI1L9xcx5CESPKSowNY3MBnjGFF9Yq9BqXvDP0O83LnEWPXnDARERl8Qi40eaq34KwLJ+WMnUNzHo\/hy831HDMyTfOZ9mFL0xbe2PwGb21+i\/LWcgUlERGRbwi50NS+fisY9pjPVN\/WySzNZ9pNvbOed0ve5c3Nb7K6djU2y8bMzJlcM\/kajss7TkFJRERkF6EXmjY1gC2M6Ck75zMt29oAwPShunRKl6eLT0o\/YX7xfL4o\/wK3cTMqaRQ\/nf5TTio4ifTo9ECXKCIiMiCFVmjq7qJ9exeReWm7rc+0bGsDSdH2Qb0+07bmbbyy8RVeK36NOmcd6VHpnD\/2fL47\/LuMTBoZ6PJEREQGvJAKTaahDGe9naRpBbu1L9\/WwNS8pEE3n6mzu5MPtn7AKxtfYXHlYsKsMObmzOXMkWdy5JAjtSq3iIjIQQip0ORctQTTbSNqwjhfW0NbJ5tq2vjB1JwAVta\/ylvLefHrF5lfPJ9GVyPZsdlcP+V6Tis8TcNvIiIihyikQlPH8mUARE3beb25FaXe+UzT8kN7PpMxhqVVS3l23bN8XPYxFhbH5R3HmSPPZFbWLK3OLSIicphCKzStXU9YZDfhIyb52pZtbSDMZjExJzQXYXS6nbxd8jbPFT3HhoYNJDoSuWT8Jfxw1A\/JjMkMdHkiIiIhI7RCU3EZ0WlurOhkX9vyrY2MzYonOiKkPiqNzkae\/\/p5Xvj6BRpdjYxMGsk9c+7hpIKTiAyPDHR5IiIiISdkkoS7oYGumjaSZkVDz4Rvd7eHr0obOXtG6FwTrbKtkqfWPsUrG1+hw93BMTnHcMG4C5ieMX3QTXQXERHpTyETmjpWrgQgaliar219VQsdXd1MyUsMVFl9ZnPTZv6+5u+8uflNjDGcXHAyF4+\/mMKkwkCXJiIiMiiEVmiyILIw39e2prwJgAnZwTufaUvTFv688s+8W\/IuEWERnDXyLC4adxFDYocEujQREZFBJWRCk\/OrlTgS3dhSdy4tsLq8iVhHOENTgm9Ry7KWMh5b+RhvbH4DR5iDi8dfzPljzyclSpeCERERCYSQCE3GGJzr1hKX4oL4bF\/76vJmxg2Jx2YLnrk+lW2V\/HXVX3l146vYLBvnjjmXS8ZforAkIiISYCERmtwVFXQ3NeMo7IK4LAC6uj0UVTRzwaz8A\/z0wNDW1cYTq5\/g6XVP0226OWPkGVw24TIyYjICXZqIiIgQIqHJWVQEQGRSF8R51yYqrm6l0+1h\/ACfz9Tt6WZ+8XweWfEIdc46Ti44meunXk92bPaBf1hERET6zQFDk2VZTwLfBaqNMeP9X9LBc64r8k4CT3RDrPcyIat7JoEP5ND0ZcWX\/HbJb9nQsIHJaZP5w3F\/YGLaxECXJSIiInvRm56mfwB\/BJ72bymHzllURERmIrbw7RDjDU1rypuIiQhjWOrAmwRe3V7N\/Uvu570t75Edm80D8x7ghPwTtM6SiIjIAHbA0GSM+dSyrKH+L+XQOdetIzo7FiJiwRELeHuaxg1JGFCTwN0eN\/9c\/08eWfEIXd1dXDP5Gn48\/sc4whyBLk1EREQOIOjnNLkbGnBXVhI5OR9ivAtbunsmgf\/oiLwAV7fT2tq13L3wborqizgy+0juOOIOcuNDZ6VyERGRUNdnocmyrMuBywHy8vovrDjXrQMgMrETYr1nmm2ubcPZ5RkQi1p2dnfy2MrHeHLNk6REpmgoTkREJEj1WWgyxjwOPA4wffp001f7PRDXjjPnYlsgdjQARRXNAIzJiu+vMvaqqK6IO764g40NGzlt+GncfMTNxEcEtiYRERE5NEE\/POdcV4R9yBDCujdB7FwANlS1EGazGJYWmEngbo+bv676K4+vepzEyET+eNwfmZc7LyC1iIiISN\/ozZIDLwDHAKmWZZUBdxljnvB3Yb3lXL8ex6iR0LHUNzy3vrKFYakxOMLD+r2eitYKbvnsFlZUr+CUYadw2xG3keAI\/DChiIiIHJ7enD33o\/4o5FCYzk46t24l7qgZ4MK3RtP6qhYm5ST2ez0Lti3gzi\/uxO1x85ujf8PJw07u9xpERETEP2yBLuBwuLZsAbcbx5Bkb0NMOq0uN6X1HYzKiOu3Orq6u\/jN4t9w\/QLvSt4vnfqSApOIiEiICeo5TZ3FxQA4MqKhBIjNYENVCwCjMvsnNNV21HLTxzexonoF5445l5um3UREWES\/vLeIiIj0n6AOTa7iYrDZiNgxZSg2nQ0bvKFpdKb\/z1JbW7uWGxbcQJOrifvn3s9JBSf5\/T1FREQkMIJ7eG5jMRF5edi66r0NMWl8XdlCdEQYOUlRfn3vtza\/xYXvXojNsvH0SU8rMImIiIS4oO9pcowohNZqiEwAeyQbq1sYkR7rt8unGGN4Ys0TPLz8YaZlTOPBYx4kOTLZL+8lIiIiA0fQ9jR5Ojvp3LaNiMJCaK3yXah3c00bw9Ni\/fKe3Z5ufrnolzy8\/GFOKjiJx7\/9uAKTiIjIIBG0PU2dJSXQ3Y2jsBCq3oXYdNpcbiqanAxP7\/vQ5HQ7ufWzW\/lw24f8eNyPuXHajdisoM2cIiIicpCCNzRt3gyAY\/hwKKmDtFGU1LYBMCy1b1cC73B3cN1H17G4YjG3zLiF88ae16f7FxERkYEveEPTli0AROTnQ3sdRKewqaYVoE97mtq72rnmw2tYXr2c+466j1OHn9pn+xYREZHgEdShKTwrC5vDAR31PaGpDZsF+SnRffIerZ2tXP3h1ayqWcWvjvqVFqwUEREZxIJ2Uo5ryxYihuaDsxGMB2JS2VTTSm5ydJ9cc87pdnLdR9exumY198+9X4FJRERkkAvK0GSMobNkCxFDh0J7zxpN0Slsrmnrk\/lMXZ4ufvbJz1hWtYz7jrqPE4aecNj7FBERkeAWlKGpu7ERT3MzjqFDvfOZAE9kMiW1rYe93IDHeLjri7v4uOxj7ph5h3qYREREBAjS0NRZsgUA+45J4ECNJwZnl4dhhxmaHl7+MG9sfoNrJ1\/L2aPPPtxSRUREJEQEZ2jqOXNu156mrR3ey6YUHMbw3GvFr\/Hkmif54cgfcvnEyw+3TBEREQkhwRuawsOxZ2f7QtPmdgdw6GfOrahewd0L72Zm5kxunXkrluWfy7CIiIhIcArO0LR1KxE5OVh2uzc0hUdS0mSICLORER950Psrby3nxgU3khWTxe+O+R12m90PVYuIiEgwC87QtKXnzDnwnj0XnUJpQwc5SVGEHeSFeju7O\/nJxz+hq7uLR45\/hARHQt8XLCIiIkEvKBe3zLr3HtgxfNZeB9HJbKtvJ+8QhuZ+v+z3rK1by0PHPMSwhGF9XKmIiIiEiqAMTVETJ+580nMJlW2b25mal3RQ+\/lw24c8W\/Qs5445l+Pzj+\/jKkVERCSUBOXw3G7a6+iMSKLZ6SYvufc9TVVtVfzfF\/\/H2JSx3DTtJj8WKCIiIqEgJEJTs807Dym3l6HJGMPPF\/6cru4u7p97PxFhEf6sUEREREJAcIembjc4G6kz3gUte9vTNL94Pp+Xf86N024kPz7fnxWKiIhIiAju0NTRAECV27ugZW96mirbKrl\/yf1My5jGj0b\/yK\/liYiISOgI7tDUs7BlmSuKlJgIYh0Hntf+y0W\/pNt0c++ce7FZwf3xRUREpP8Ed2roCU1b2h296mX6tOxTFpQu4IqJV5Abn+vv6kRERCSEBHdo6hmeK2mLJDsxar+burpd\/HrxrxkaP5QLxl7QH9WJiIhICAnu0ORsBGBTSxhZCfu\/fMrTa5+mtKWU22fejj1Ml0kRERGRgxPkoakJgFp3FFn76Wmqd9bzxJonODb3WGYPmd1f1YmIiEgICfrQZLBoIYoh++lp+uuqv9Lh7uDGqTf2Y3EiIiISSoI7NHU04rbHYbDts6dpe+t2\/rn+n5w2\/DSGJeraciIiInJogjs0OZtwhXsXttxXT9NjKx\/DwuLqyVf3Z2UiIiISYoI8NDXSasVhD7NIjXXs8XJFawVvbHqDM0eeSWZMZgAKFBERkVAR5KGpiWaiyYiPxGaz9nj5qXVPAXDRuIv6uTAREREJNUEfmhq6oxiSsOd8pnpnPa9seIWTh51MVmxWAIoTERGRUBLcoamjkRp3FFmJe85ner7oeVzdLi4Zf0kAChMREZFQE9ShyTibqOp0kPWNnqau7i5e2vAS83Lm6Yw5ERER6RPBG5q6u7C62mjwxDDkGz1NH2z7gHpnPWePPjtAxYmIiEioCd7Q1LMaeDPRe\/Q0\/Wv9v8iOzWbOkDmBqExERERCUPCHJhNDZvzOnqZNjZtYWrWUs0aehc0K3o8nIiIiA0vwpooO78V6m4ghLW7nGk0vbXgJu83O90d8P1CViYiISAgK3tDk9IamZhNNSmwEAF2eLt7e\/DbH5h5LcmRyIKsTERGREBP0oYmoROxh3o+xcPtCGlwNfHfYdwNYmIiIiISiIA5N3jlN9phEX9Nbm98iPiKeo7KPClRVIiIiEqKCPjRFxXmH4dq72llQuoAThp6APcweyMpEREQkBAVvaOpopJNw4uPiAfis\/DM63B2cXHBygAsTERGRUBS0ock4m2g2MaTFeZcbWFC6gERHIlPSpwS4MhEREQlFQRua3O0NNJlo0uIcdHm6+LTsU+bmzCXcFh7o0kRERCQEBW9oam2gmRhSYx0sr1pOS2cLx+YeG+iyREREJEQFbWjq7mikuaen6ePSj4mwReiyKSIiIuI3QRuacLXQQjSpsQ4+L\/+cI7KOINoeHeiqREREJEQFbWiydbbQaiIhrJEtzVuYlTUr0CWJiIhICAva0BTmbqedKDY0rwBQaBIRERG\/Cs7Q5PFg727HbY9lSdVikhxJjEgaEeiqREREJIQFZ2jqasOGwYqMZVHFImZkzsBmBedHERERkeAQnEnD1QpAc7RFVXsVM7NmBrggERERCXVBGppaAKiMagdgesb0QFYjIiIig0BwhqZOb2iqsjcTZ49jaMLQwNYjIiIiIS8oQ5O7wxuaKmy1jEsdp\/lMIiIi4ndBmTZam+txWhbVnmompE4IdDkiIiIyCATl1W07WpsoibDjwaPQJCIiIv0iKHuaXK2NrHY4AJiQptAkIiIi\/hecoam9mdWOCFId6aRGpQa6HBERERkEgjI0uTtaWBfhYFTy2ECXIiIiIoNEUIam9o4GSu1hjE0ZHehSREREZJAIytBU3lWHsSzGpI4MdCkiIiIySPQqNFmWdaJlWestyyq2LOtWfxd1IGWmEYARibpIr4iIiPSPA4Ymy7LCgD8BJwFjgR9ZlhXQyURlVht2A7lxuYEsQ0RERAaR3vQ0HQEUG2M2G2M6gReB0\/xb1v6VhXUypCucMFtYIMsQERGRQaQ3oSkbKN3leVlP224sy7rcsqyllmUtramp6av69irMcjCMJL++h4iIiMiuerMiuLWXNrNHgzGPA48DTJ8+fY\/X+9JTVyz25+5FRERE9tCbnqYyYNfJQznAdv+UIyIiIjIw9SY0LQFGWJZVYFlWBHAO8Lp\/yxIREREZWA44PGeMcVuWdS3wHhAGPGmMWev3ykREREQGkN7MacIY8zbwtp9rERERERmwgnJFcBEREZH+ptAkIiIi0gsKTSIiIiK9oNAkIiIi0gsKTSIiIiK9oNAkIiIi0gsKTSIiIiK9oNAkIiIi0gsKTSIiIiK9oNAkIiIi0gsKTSIiIiK9oNAkIiIi0gsKTSIiIiK9oNAkIiIi0gsKTSIiIiK9oNAkIiIi0gsKTSIiIiK9oNAkIiIi0gsKTSIiIiK9YBlj+n6nllUDbO3zHe8uFaj183vIwdExGZh0XAYmHZeBR8dkYOqP45JvjEk70EZ+CU39wbKspcaY6YGuQ3bSMRmYdFwGJh2XgUfHZGAaSMdFw3MiIiIivaDQJCIiItILwRyaHg90AbIHHZOBScdlYNJxGXh0TAamAXNcgnZOk4iIiEh\/CuaeJhEREZF+E3ShybKsEy3LWm9ZVrFlWbcGup7BxLKsXMuyFliWVWRZ1lrLsm7oaU+2LOt9y7I29twn9bRblmX9oedYrbIsa2pgP0HosiwrzLKsFZZlvdnzvMCyrEU9x+SflmVF9LQ7ep4X97w+NJB1hzLLshIty3rZsqyve74zs\/VdCSzLsv6359+uNZZlvWBZVqS+K\/3PsqwnLcuqtixrzS5tB\/3dsCzrwp7tN1qWdWF\/1B5UocmyrDDgT8BJwFjgR5ZljQ1sVYOKG\/iJMWYMMAu4puf3fyvwoTFmBPBhz3PwHqcRPbfLgUf7v+RB4wagaJfnvwF+33NMGoBLetovARqMMYXA73u2E\/94GHjXGDMamIT3+Oi7EiCWZWUD1wPTjTHjgTDgHPRdCYR\/ACd+o+2gvhuWZSUDdwEzgSOAu3YELX8KqtCE9xdTbIzZbIzpBF4ETgtwTYOGMabCGLO853EL3j8C2XiPwVM9mz0FnN7z+DTgaeP1JZBoWVZWP5cd8izLygFOAf7W89wCjgNe7tnkm8dkx7F6GTi+Z3vpQ5ZlxQNzgScAjDGdxphG9F0JtHAgyrKscCAaqEDflX5njPkUqP9G88F+N74DvG+MqTfGNADvs2cQ63PBFpqygdJdnpf1tEk\/6+mqngIsAjKMMRXgDVZAes9mOl794yHgZsDT8zwFaDTGuHue7\/p79x2TnteberaXvjUMqAH+3jNs+jfLsmLQdyVgjDHlwAPANrxhqQlYhr4rA8XBfjcC8p0JttC0t5Sv0\/\/6mWVZscArwI3GmOb9bbqXNh2vPmRZ1neBamPMsl2b97Kp6cVr0nfCganAo8aYKUAbO4cb9kbHxc96hm5OAwqAIUAM3qGfb9J3ZWDZ13EIyPEJttBUBuTu8jwH2B6gWgYly7LseAPTc8aYV3uaq3YMJfTcV\/e063j535HA9yzL2oJ3uPo4vD1PiT1DELD77913THpeT2DPbnI5fGVAmTFmUc\/zl\/GGKH1XAudbQIkxpsYY0wW8CsxB35WB4mC\/GwH5zgRbaFoCjOg52yEC7yS+1wNc06DRM57\/BFBkjHlwl5deB3acuXAh8Nou7Rf0nP0wC2ja0f0qfcMYc5sxJscYMxTv9+EjY8y5wALgzJ7NvnlMdhyrM3u21\/899zFjTCVQalnWqJ6m44F16LsSSNuAWZZlRff8W7bjmOi7MjAc7HfjPeAEy7KSenoRT+hp8y9jTFDdgJOBDcAm4I5A1zOYbsBReLs\/VwFf9dxOxjvO\/yGwsec+uWd7C+\/ZjpuA1XjPWgn45wjVG3AM8GbP42HAYqAYeAlw9LRH9jwv7nl9WKDrDtUbMBlY2vN9mQ8k6bsS8GNyN\/A1sAZ4BnDouxKQ4\/AC3nllXXh7jC45lO8GcHHP8SkGftwftWtFcBEREZFeCLbhOREREZGAUGgSERER6QWFJhEREZFeUGgSERER6QWFJhEREZFeUGgSERER6QWFJhEREZFeUGgSERER6YX\/D40KkHEfA3EcAAAAAElFTkSuQmCC\" \/><\/div>\n<\/div>\n<p>\u5e95\u306e\u9055\u3044\u306b\u3088\u3063\u3066\u7d50\u69cb\u5024\u304c\u5909\u308f\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u306d\u3002\u305d\u308c\u306b\u5bfe\u3057\u3066\u3001log\u3068log1p\u306e\u5dee\u306f\u304b\u306a\u308a\u5c0f\u3055\u3044\u3088\u3046\u3067\u3059\u3002<\/p>\n<h2>0\u4ee5\u4e0b\u306e\u5024\u3068\u5bfe\u6570\u306e\u95a2\u4fc2<\/h2>\n<p>\u3055\u3066\u3001NumPy\u306e\u5bfe\u6570\u95a2\u6570\u5b9f\u88c5\u306b\u9650\u3089\u305a\u3001<span style=\"color: #000000;\"><strong>\u5bfe\u6570\u306f0\u4ee5\u4e0b\u306e\u8a08\u7b97\u304c\u3067\u304d\u307e\u305b\u3093<\/strong><\/span>\u3002<span style=\"color: #ff0000;\"><strong>0\u306e\u5024\u3092\u5165\u308c\u308b\u3068-inf<\/strong><\/span>, <span style=\"color: #ff0000;\"><strong>\u30de\u30a4\u30ca\u30b9\u306e\u5024\u3092\u5165\u308c\u308b\u3068\u8a08\u7b97\u3067\u304d\u306a\u3044\u306e\u3067NaN<\/strong><\/span>\u306b\u306a\u3063\u3066\u3057\u307e\u3044\u307e\u3059\u3002<\/p>\n<pre class=\"lang:python decode:true\"># \u30b3\u30fc\u30c9 In [6]:\r\nnp.log(np.linspace(-10,0,10))<\/pre>\n<pre class=\"lang:default decode:true\"># \u51fa\u529b\u7d50\u679c [6]:\r\n\/root\/anaconda3\/lib\/python3.6\/site-packages\/ipykernel_launcher.py:1: RuntimeWarning: divide by zero encountered in log\r\n  \"\"\"Entry point for launching an IPython kernel.\r\n\/root\/anaconda3\/lib\/python3.6\/site-packages\/ipykernel_launcher.py:1: RuntimeWarning: invalid value encountered in log\r\n  \"\"\"Entry point for launching an IPython kernel.\r\n\r\narray([ nan,  nan,  nan,  nan,  nan,  nan,  nan,  nan,  nan, -inf])<\/pre>\n<p>\u3053\u308c\u306b\u5bfe\u3057\u3066\u3001<span style=\"color: #008000;\"><strong>log1p\u3092\u4f7f\u3048\u30700\u3067\u3082\u8a08\u7b97\u3067\u304d\u307e\u3059<\/strong><\/span>\u3002\u203blog(0+1)\u3068\u306a\u308b\u306e\u3067\u3002<\/p>\n<pre class=\"lang:python decode:true\"># \u30b3\u30fc\u30c9 In [7]:\r\nnp.log1p(0)<\/pre>\n<pre class=\"lang:default decode:true\"># \u51fa\u529b\u7d50\u679c Out [7]:\r\n0.0<\/pre>\n<pre class=\"lang:python decode:true\"># \u30b3\u30fc\u30c9 In [8]:\r\nnp.log1p(-1)<\/pre>\n<pre class=\"lang:default decode:true\"># \u51fa\u529b\u7d50\u679c [8]:\r\n\/root\/anaconda3\/lib\/python3.6\/site-packages\/ipykernel_launcher.py:1: RuntimeWarning: divide by zero encountered in log1p\r\n  \"\"\"Entry point for launching an IPython kernel.\r\n\r\n-inf<\/pre>\n<p>0\u3092\u542b\u3093\u3060\u6b63\u306e\u6570\u3092\u6271\u3046\u5834\u9762\u306f\u591a\u3044\u306e\u3067\u3001log1p\u306e\u4f7f\u3044\u6240\u306f\u4ee5\u5916\u306b\u3042\u308a\u305d\u3046\u3067\u3059\u306d\u3002<\/p>\n<p>\u307e\u305f\u3001\u5192\u982d\u3067\u3082\u66f8\u304d\u307e\u3057\u305f\u304c\u3001<span style=\"color: #000000;\"><strong>\u6a5f\u68b0\u5b66\u7fd2\u3067\u306f\u5bfe\u6570\u3092\u4f7f\u3046\u5834\u5408\u304c\u591a\u3044<\/strong><\/span>\u3067\u3059\u3002\u4f8b\u3048\u3070\u78ba\u7387\u3092\u6271\u3046\u5834\u5408\u3001\u78ba\u7387\u306e\u5024\u306f\u6d6e\u52d5\u5c0f\u6570\u70b9\u6570\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u306e\u307e\u307e<span style=\"color: #000000;\"><strong>\u78ba\u7387\u540c\u58eb\u3092\u639b\u3051\u7b97\u3059\u308b\u3068\u3001\u30a2\u30f3\u30c0\u30fc\u30d5\u30ed\u30fc\u304c\u304a\u3053\u3063\u3066\u8a08\u7b97\u304c\u3046\u307e\u304f\u3067\u304d\u306a\u3044<\/strong><\/span>\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3093\u306a\u6642\u3001<span style=\"color: #000000;\"><strong>\u5bfe\u6570\u306b\u76f4\u3057\u3066\u304b\u3089\u8db3\u3057\u7b97\u3092\u3059\u308c\u3070\u3001\u30a2\u30f3\u30c0\u30fc\u30d5\u30ed\u30fc\u306e\u5371\u967a\u6027\u3092\u5c0f\u3055\u304f\u3059\u308b<\/strong><\/span>\u4e8b\u304c\u3067\u304d\u307e\u3059\uff01\uff08\u5024\u306e\u30b9\u30b1\u30fc\u30eb\u611f\u3092\u3082\u3068\u306b\u623b\u3057\u305f\u3044\u5834\u5408\u306f\u3001\u8a08\u7b97\u7d50\u679c\u3092exp\u95a2\u6570\u306b\u5165\u308c\u3066\u3042\u3052\u308c\u3070\u3044\u3044\u3067\u3059\u306d\u3002\uff09<\/p>\n<p>\u307e\u305f\u3001\u6bd4\u8f03\u3057\u305f\u3044\u5168\u3066\u306e\u5024\u3092\u5bfe\u6570\u306b\u3057\u3066\u3082\u3001\u5927\u5c0f\u95a2\u4fc2\u306f\u5909\u308f\u3089\u306a\u3044\u306e\u3067\u3001\u4e0a\u8a18\u4ee5\u5916\u306e\u69d8\u3005\u306a\u5834\u6240\u3067\u5bfe\u6570\u306f\u5927\u6d3b\u8e8d\u3057\u307e\u3059\u3002<\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001<span style=\"color: #000000;\"><strong>NumPy\u306e\u5bfe\u6570\u95a2\u6570\u5b9f\u88c5\u306b\u3064\u3044\u3066\u7d39\u4ecb<\/strong><\/span>\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>\u5bfe\u6570\u3092\u4f7f\u3046\u3053\u3068\u3067\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3067\u306e\u8a08\u7b97\u3092\u5b89\u5168\u306b\u3057\u305f\u308a\u3001\u8a08\u7b97\u3092\u7c21\u5358\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5206\u91ce\u306b\u3088\u3063\u3066\u5e95\u304c\u5909\u308f\u308b\u3053\u3068\u304c\u591a\u3005\u3042\u308a\u307e\u3059\u304c\u3001NumPy\u306a\u3089\u3070\u57fa\u672c\u7684\u306a\u3082\u306e\u306f\u5168\u3066\u6291\u3048\u3066\u3044\u308b\u306e\u3067\u5b89\u5fc3\u3067\u3059\u3002<\/p>\n<p>\u662f\u975e\u3053\u306e\u8a18\u4e8b\u3067\u3001np.log\u306a\u3069\u306e\u5bfe\u6570\u3092\u8a08\u7b97\u3059\u308b\u95a2\u6570\u306e\u4f7f\u3044\u304b\u305f\u3092\u899a\u3048\u3066\u3001\u6a5f\u68b0\u5b66\u7fd2\u3084\u79d1\u5b66\u8a08\u7b97\u306e\u5b9f\u88c5\u306b\u5f79\u7acb\u3066\u3066\u304f\u3060\u3055\u3044\u306d\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3093\u306b\u3061\u306f\uff01\u30a4\u30f3\u30b9\u30c8\u30e9\u30af\u30bf\u30fc\u306e\u30d5\u30af\u30ed\u30a6\u3067\u3059\u3002 \u4e2d\u5b66\u9ad8\u6821\u3067\u7fd2\u3063\u305f\u5bfe\u6570\u3001\u7686\u3055\u3093\u899a\u3048\u3066\u3044\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u884c\u5217\u8a08\u7b97\u3092\u5f97\u610f\u3068\u3059\u308bNumPy\u306b\u3082\u3001\u3082\u3061\u308d\u3093\u5bfe\u6570\u95a2\u6570\u306e\u5b9f\u88c5\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001NumPy\u306b\u5b9f\u88c5\u3055\u308c\u305f4\u3064\u306e\u5bfe\u6570\u95a2\u6570\u306b\u3064 [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":70049,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"swell_btn_cv_data":"","footnotes":""},"categories":[2350],"tags":[1281,1848,49],"class_list":["post-70027","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-python-study","tag-ai","tag-numpy","tag-python"],"acf":[],"yoast_head":"<!-- This site is optimized 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