{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## TOVsolver module guide\n", "\n", "TOV solver part we have multiple function, we can generate a Mass radius function from 'Test_EOS.csv' file here easily" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mass Radius file will be generated and stored as 2-d array. The first column is Radius, second one is mass\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3kAAAJOCAYAAAAK+M50AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAABgsklEQVR4nO3deXhU9d3+8Xsyk0z2kJCwh4QlIDuouACRTaBKVVxxgdYFUJ5q+6sLFbUCLZaqT61VHjdQUClWrHtdqCC7ggqCyBr2yJoQyEommZnz+yNkTEiAhMzkZE7er+uai5lzzpzzmXqayZ3vZjMMwxAAAAAAwBJCzC4AAAAAAOA/hDwAAAAAsBBCHgAAAABYCCEPAAAAACyEkAcAAAAAFkLIAwAAAAALIeQBAAAAgIUQ8gAAAADAQgh5AAAAAGAhhDwAAAAAsJCgCnnHjx/Xb3/7W1166aVq0aKFnE6nWrdurSFDhujdd9+VYRg1PpfX69XMmTPVs2dPRUREKCkpSTfddJMyMjIC+AkAAAAAILBsRm2Skcl27Nih3r1765JLLlHHjh2VkJCgI0eO6OOPP9aRI0c0fvx4vfLKKzU614QJEzRr1ix17dpVI0eO1OHDh/X2228rPDxcX331lbp27RrgTwMAAAAA/hdUIc/j8cgwDDkcjkrb8/Pzdckll2jz5s368ccf1a1btzOeZ8mSJRoyZIjS09P1xRdfyOl0SpIWL16sYcOGKT09XcuWLQvY5wAAAACAQAmq7pp2u71KwJOkmJgYjRgxQlJZa9/ZzJo1S5I0ffp0X8CTpKFDh2rEiBFavny5tm/f7qeqAQAAAKD+BFXIO53i4mJ9+eWXstlsNepmuXTpUkVFRal///5V9pWHRVryAAAAAASjqs1iQeD48eN69tln5fV6deTIEX366afKzMzUlClTlJaWdsb3FhYW6uDBg+revbvsdnuV/eXvZwIWAAAAAMEoaEPetGnTfK9DQ0P19NNP64EHHjjre3NzcyVJcXFx1e6PjY2tdFx1vF6v9uzZo9DQUNlsNt92p9NZqfsnAAAAAJRzuVxyuVy+14ZhqLS0VKmpqQoJ8V8ny6AMeampqTIMQx6PR5mZmfrXv/6lRx99VF999ZUWLFhQ7bg9f9qzZ486dOgQ0GsAAAAAaBx27typ9u3b++18QRnyytntdqWmpurhhx+W3W7XpEmTNGvWLE2cOPG07ylvwTtdS11eXl6l46oTGhoqSfrmm2/UsmVL33Za8hqfvLw8JScnKzMz09cKjMaL+wEVcT+gHPcCKuJ+aNxObck7ePCgLrroIl++8JegDnkVDR8+XJMmTdLSpUvPGPKioqLUsmVL7d69Wx6Pp8q4vPKxeGca21feRbNly5Zq06aNH6pHsIuNjeUHNXy4H1AR9wPKcS+gIu4HVFRxCJg/WGJ2TUk6cOCAJNWoq+bAgQNVWFioVatWVdm3cOFC3zEAAAAAEGyCKuStX7++2m6WOTk5euSRRyRJV1xxhW97dna2tm7dquzs7ErHT5gwQZL02GOPqaSkxLd98eLFWrhwoS677DJ16tQpEB8BAAAAAAIqqLprzp07V7Nnz9bgwYOVkpKiqKgo7d27V5988okKCgp0/fXX69Zbb/UdP3PmTE2bNk1TpkzR1KlTfdsHDx6scePGafbs2erTp49Gjhypw4cP6+2331ZsbKxefPHFM9ZRPu6O8XdwOp2aMmUK9wIkcT+gMu4HlONeQEXcD9bi9XorNRqdKjQ0tNpl28oFKlfYDMMw/HrGAFq5cqVeffVVrV69WgcOHFBRUZESEhJ0/vnn61e/+pVuvvnmSv1Zp06dWm3Ik8r+g/zf//2fXn75Ze3YsUPR0dEaPHiwnnjiibO24uXl5SkuLk65ubn0pQYAAAAaoZKSEu3evVter/eMxzVp0kQtWrSodtxdoHJFUIW8hoKQBwAAADRehmFo3759Ki0tVatWrapd484wDBUVFenIkSNq0qRJpVn5ywUqVwRVd00AAAAAMJvb7VZRUZFatWqlyMjI0x4XEREhSTpy5IiaNWt2xq6b/hRUE68AAAAAgNk8Ho8kKSws7KzHlofA0tLSgNZUESEPAAAAAM5BTda38/caeDVByAMAAAAACyHkAQAAAICFEPIAAAAAwEIIeQAAAABgIYQ8AAAAADgHNVly3IxlyQl5AAAAAFAL5evdlZSUnPXYoqIiSVJoaGhAa6qIxdABAAAAoBYcDociIyOVlZWl0NBQhYRUbTszDENFRUU6cuSImjRpUm8LoUuEPAAAAACoFZvNppYtW2r37t3au3fvGY9t0qSJWrRoUU+VlSHkAQAAAEAthYWFKS0t7YxdNkNDQ+u1Ba8cIQ8AAAAAzkFISIjCw8PNLqMKJl4BAAAAAAsh5AEAAACAhRDyAAAAAMBCCHkAAAAAYCGEPAAAAACwEEIeAAAAAFgIIQ8AAAAALISQBwAAAAAWQsgDAAAAAAsh5AEAAACAhRDyAAAAAMBCCHkAAAAAYCGEPAAAAACwEEIeAAAAAFgIIQ8AAAAALISQBwAAAAAWQsgDAAAAAAsh5AEAAACAhRDyAAAAAMBCCHkAAAAAYCGEPAAAAACwEEIeAAAAAFgIIQ8AAAAALISQBwAAAAAWQsgDAAAAAAsh5AEAAACAhRDyAAAAAMBCCHkAAAAAYCGEPAAAAACwEEIeAAAAAFgIIQ8AAAAALISQBwAAAAAWQsgDAAAAAAsh5AEAAACAhRDyAAAAAMBCCHkAAAAAYCGEPAAAAACwEEIeAAAAAFgIIQ8AAAAALISQBwAAAAAWQsgDAAAAAAsh5AEAAACAhRDyAAAAAMBCCHkAAAAAYCGEPAAAAACwEEIeAAAAAFgIIQ8AAAAALISQBwAAAAAWQsgDAAAAAAsh5AEAAACAhRDyAAAAAMBCCHkAAAAAYCGEPAAAAACwEEIeAAAAAFgIIQ8AAAAALISQBwAAAAAWQsgDAAAAAAsJqpC3f/9+Pfvssxo+fLjatm2rsLAwtWjRQtdff73WrFlT4/MsXbpUNpvttI/Vq1cH8FMAAAAAQOA4zC6gNp5//nk9+eST6tChg4YNG6ZmzZopIyNDH3zwgT744AO99dZbuummm2p8voEDB2rQoEFVtrdp08aPVQMAAABA/QmqkHfRRRdp+fLlSk9Pr7R9xYoVGjp0qCZOnKhrrrlGTqezRucbNGiQpk6dGoBKAQAAAMAcQdVd87rrrqsS8CQpPT1dgwcPVk5OjjZu3GhCZQAAAADQMARVS96ZhIaGSpIcjpp/pIyMDD333HMqKipSSkqKhg0bpsTExECVCAAAAAABZ4mQt2/fPi1atEgtWrRQjx49avy++fPna/78+b7XERERmjZtmh566KFAlAkAAAAAARdU3TWrU1paqrFjx8rlcumpp56S3W4/63uSkpL09NNPa8uWLSosLNT+/fs1b948JSQkaNKkSXr55ZdrdO28vLxKD5fLVdePAwAAAMCiXC5XlQwRCDbDMIyAnLkeeL1e/frXv9a8efM0fvx4vfLKK3U6348//qgLLrhA8fHxOnDggEJCqs/AeXl5iouLq7J9ypQpTOQCAAAAoFpTp07VtGnTqmzPzc1VbGys364TtCHPMAyNGzdOr732msaMGaPXX3/9tKGsNi677DKtWLFC27ZtU6dOnao9pjzkZWZmVvqP4XQ6azyzJwAAAIDGxeVyVer9l5eXp+TkZL+HvKAck+f1ejVu3DjNmTNHt9xyi+bOneuXgCfJN/FKUVHRWY+NjY31638MAAAAANZVX41CQTcmr2LAGz16tN58880ajcOrCbfbrXXr1slms6lt27Z+OScAAAAA1KegCnler1d33XWX5syZoxtvvFHz5s07Y8DLzs7W1q1blZ2dXWn7119/rVN7qbrdbj300EPau3evRowYoYSEhIB8BgAAAAAIpKDqrvmnP/1Jc+fOVXR0tDp16qTp06dXOWbUqFHq3bu3JGnmzJmaNm1alQlRbrnlFtlsNvXr10+tW7fW8ePHtXz5cm3btk1t27bVSy+9VE+fCAAAAAD8K6hC3p49eyRJBQUFeuKJJ6o9JjU11RfyTmfixIn6/PPPtXTpUmVnZ8vhcKhjx4569NFH9cADDyg+Pt7PlQMAAABA/Qja2TXNVD67pr9nwQEAAADQeAQqVwTVmDwAAAAAwJkR8gAAAADAQgh5AAAAAGAhhDwAAAAAsBBCHgAAAABYCCEPAAAAACyEkAcAAAAAFkLIAwAAAAALIeQBAAAAgIUQ8gAAAADAQgh5AAAAAGAhhDwAAAAAsBBCHgAAAABYCCEPAAAAACyEkAcAAAAAFkLIAwAAAAALIeQBAAAAgIUQ8gAAAADAQgh5AAAAAGAhhDwAAAAAsBBCHgAAAABYCCEPAAAAACyEkAcAAAAAFkLIAwAAAAALIeQBAAAAgIUQ8gAAAADAQgh5AAAAAGAhhDwAAAAAsBCH2QUAAM7MMAzlFbuVlV+s3BOlKirxqKjEoxMn/y0qcetEiUdeQ3LYbbKH2OQ4+bDbQ+QIsSnK6VBiVJgSosOUEBWmhMgwOez8nQ8AACsi5AGAyfKLS7X3aJH25RRp79EiHTh+Qln5Lh3JL9aRfJey8l1yub1+v26TyFA1jQpTqyYR6pAUrQ7NotUxKVodmkUpKdopm83m92sCAIDAI+QBQD0wDEP7j5/Q5gN52nwwT7uzC33BLqewxJSajheV6nhRqXZmFWpFRnalfbHhDnVoFq1urWJ1UbumurhdgprHhptSJwAAqB2bYRiG2UUEm7y8PMXFxSk3N1exsbFmlwOggTEMQzuzCrRxf6427c/TppPBLvdEaa3PFR8ZqmYx4WoW61RStFNNIsMUGWZXRJhdkScfEWEORYbaZQ+xye015PF6Veox5PEacnsNuT1e5Re7dbSwRDmFLh0tKDn5vERHC1wqLPHUqJbUppG6qF2CLm7XVBe1S1Cb+Aha+wAAqINA5Qpa8gCgjopLPfpxf66+3XNMa/fm6Lu9x3S8qGaBrmVcuNomRCqlaaRSmkapbUKk2sRHqHlsuBKjnQpzBHbcnGEYyi4o0c6sAu04UqCdWQXamVWonUcKtP/4iUrH7jlapD1Hi7Tgu58kSe2TovTLnq10Vc+WSmseE9A6AQBAzdGSdw5oyQMaN5fbo7V7j2nVjmyt2ZWjH37KVYnnzGPmmsU41bVVrLq1ilW3VnFKaxat5IRIhYfa66nq2ssvLtX3+45rze6j+mZ3jjZknv5zntciRr/s2VK/7NlKqYlR9VwpAADBKVC5gpB3Dgh5QONiGIa2HsrXyoxsrdiRrW92H1Vx6elDXZPIUF2YEq8+beN9oS4pxlmPFQdGcalH6zOPa82uHK3aka1v9+aoum+QHq3jNLpvsm64oE2DDrEAAJiNkNeAEPIA68srLtXy7VlavOWIVmRkKbvg9JOjpDaN1IWpCbowJV4XpsarfWK0QkKsP1btcF6xPvnhoD7+4YC+33e8yv6EqDD96tIU/erSVCVEhdV/gQAANHCEvAaEkAdY076jRVq05bAWbz2sNbty5PZW/+OxeaxTAzomKT0tUf06NlWzGGadzMwp0icbD+o/PxzQj/vzKu0LDw3RjRck664B7ejKCQBABYS8BoSQB1iDYRja8FOuFm46pEWbDyvjSEG1x0WF2XVJ+6YakJao9LREdUiKZlbJM9j4U65eWbFLn248KE+FoGyzSVd0b6E//OI8pTQl7AEAQMhrQAh5QPDyeg19n3lMn248pM9/PFRlBslyyQkRGnpec13epbkuapcQ8FkurSgzp0ivrdqtt7/NVFGFZRrCQ0P0wLDOuqN/qhx2/ncFADRehLwGhJAHBBeP19B3e3L02Y+H9NmPB3U4z1XlGJtNOr9tvIZ2aabLuzRXWjNa6/zleFGJ/rlmn+as2qPsgp//t+/ZJk5PXt9TXVrycxQA0DgR8hoQQh7Q8Hm9htbtO6aPNhzQpxsPVQoX5RwhNg1IS9QV3VtoaJfmSowO/hkwG7ICl1v/u3CbXv96j29WTkeITRMHddC9QzrK6WAmTgBA40LIa0AIeUDDZBiGNh3I08cbDug/PxystitmmD1El3VK1BXdW+ryLs0VFxlqQqWN29q9OfrDuxu1o8IYyA5JUfrHzX3UvXWciZUBAFC/CHkNCCEPaFh2ZhXoo/UH9PEPB7Qrq7DK/jBHiAZ1StKVPVpqaJdmigkn2JnN5fbo/77coReW7vTNYhrmCNHjv+yq2y5uS1dZAECjQMhrQAh5gPkOHD+h//xwQB+uP6BNB/Kq7LeH2JSelqirerbS8G7NCXYN1NZDeXrwnQ2Vll34Zc+WmnFdD/6bAQAsj5DXgBDyAHMcKyzRpz8e1IfrD+ib3TlV9ttsUt/UBF3dq5Wu7NGSBbiDhMvt0YxPt2ruV3t829olRmnmrX3UrRXdNwEA1kXIa0AIeUD9KXS5tWjLYX24/oCWb8+qdoHyHq3jdHWvVvplr5ZqGRdhQpXwh882HtSkf/+gfJdbUln3zSlXddWtF9F9EwBgTYHKFQ6/nQkA/KTE7dXy7Vn6cMMBLdp8WCdKPVWOaZ8UpWt6tdbVvVupXSILa1vBFT1aqmurWN07/3tt3J+rErdXj77/ozYdyNP0a7orJISgBwBATRDyADQIpR6vVu3I1ic/HNTCTYeUV+yuckyL2HBd3buVru7VSt1axdK6Y0EpTaP074mX6i+fbNHrX++VJM1fs08nSjx6+oaeLJ4OAEANEPIAmMbt8errXUf1yQ8H9fmmQzpeVFrlmCaRobqyR0td06uV+qYm0JrTCDgddk27prt6t22iB9/5QR6vofe/368TJR49d0sfhTkIegAAnAkhD0C98ngNrdl1VP/ZeFCf/3hIOYUlVY6JCrPr8q7NdXWvVkpPS+KX+kbq2j5tFBXm0L3zv1eJx6vPNx3ShDe/00tjLlB4KAunAwBwOky8cg6YeAWoHY/X0Ld7cvTJDwf12Y8HlV1QNdhFhtk1tEtzjezRUoM6J/FLPHyWbc/S3W9+p+JSryTpkvYJmv3rvop28ndKAEBwY3bNBoSQB5yZx2toy8E8rd51VKt3HdWa3TnKr2aMXXhoiIae11wje7bU4M7NFBFGsEP11uw6qjvnfqvCkrJJePq0baK5d1ykuAjW0gMABC9CXgNCyAMqqxzqcvTN7qPVTpwiSU5HiAZ3bqaRPVtqaJdmigyjNQY1sz7zuH716hrfvdWvQ1O9fudFCmUyFgBAkCLkNSCEPDR2tQl1kpQQFaZL2idoRLcWGtqlOd3scM42H8jTmFfX+MZy/urSFP3pmu4mVwUAwLlhnTwApin1eLX9cL5W78rR6l1H9c3uHOWeqDoTZrmEqDBd3C5Bl3ZoqkvaN1Vas2iWO4BfdG0Vq1m/ukC3vLJGJR6v3vh6r9Kax2jsJSlmlwYAQINByAMszu3xKr/Yrfxit/KKS5VXXOp7ne97Xqq8E27lu0pPHld5X/mEF6cTHxmqS9o39T3SmkWz1AEC5oKUBD1xbXc99O8fJElTP9qkDklR6tch0eTKAABoGAh5gEX87l/fK6ew5JTw5taJUo/frxUfGaqL2zXVJe0TdGmHREId6t2NFyZr++F8zVqxWx6vof/55zp9+Jv+SmkaZXZpAACYjpAHWMTSbVln7EJZWzFOh2LCHYoJD1VMuEPNYp26KDVBl3Roqk7NYgh1MN3DV3RRxpECLd2WpeNFpbrr9e/0/v/0U0w4M24CABo3Qh5gETHhDl/IiwqzKzYitFJI+/lfh2LDQxV7mn0x4aGKdjpkJ8ShgbOH2PTcLX107f+t0s6sQu04UqDf/Wu9Zv/qQv4IAQBo1Jhd8xwwuyYaosN5xQp32BUdTkBD47Inu1DX/N8q3x85nri2u267mIlYAAANX6ByBYsLARbRPDZccZGhBDw0OqmJUfrHzb19r2d8ulX7j58wryAAAExGyAMABL1BnZtp9IXJkqQCl1uPvLdRdFQBADRWhDwAgCU8MrKLmsc6JUnLtmfp3XX7Ta4IAABzEPIAAJYQFxGqv1zbw/f6Tx9v0pG8YhMrAgDAHIQ8AIBlDO3SXNf2aS1Jyit269EPfqTbJgCg0SHkAQAs5fFfdlVidJgk6YvNh/XxDwdNrggAgPpFyAMAWEp8VJj+fE133+spH/6o40UlJlYEAED9IuQBACznih4tdWWPFpKkY0Wlenn5LpMrAgCg/hDyAACW9NjIrgqzl33NzV21R1n5LpMrAgCgfhDyAACW1KpJhG69uK0k6USpRy8u3WlyRQAA1I+gCnn79+/Xs88+q+HDh6tt27YKCwtTixYtdP3112vNmjW1OpfX69XMmTPVs2dPRUREKCkpSTfddJMyMjICVD0AoL79z+AOCg8t+6qbt2avDuaeMLkiAAACL6hC3vPPP6/f//732rVrl4YNG6YHHnhAAwYM0Icffqh+/fppwYIFNT7XPffco/vuu08ej0f33XefrrzySn300Ufq27evNm/eHMBPAQCoL81iwvXrfqmSpBK3VzO/3GFuQQAA1AObEUQLCL333ntKSkpSenp6pe0rVqzQ0KFDFRMTowMHDsjpdJ7xPEuWLNGQIUOUnp6uL774wnf84sWLNWzYMKWnp2vZsmWnfX9eXp7i4uKUm5ur2NjYun8wAEDAHCssUfpTS1TgcssRYtOSBwcpOSHS7LIAAAhYrgiqlrzrrruuSsCTpPT0dA0ePFg5OTnauHHjWc8za9YsSdL06dMrBcKhQ4dqxIgRWr58ubZv3+6/wgEApomPCtOdA9pJktxeQ/9YTLd8AIC1BVXIO5PQ0FBJksPhOOuxS5cuVVRUlPr3719l34gRIyTpjC15AIDgcteAdooNL/t+eG/dT9qZVWByRQAABI4lQt6+ffu0aNEitWjRQj169DjjsYWFhTp48KDatWsnu91eZX9aWpokMQELAFhIXESo7h7YQZLkNaR/LOJnPADAuoI+5JWWlmrs2LFyuVx66qmnqg1uFeXm5kqS4uLiqt1f3he2/LgzycvLq/RwuViDCQAaqtv7pSohKkyS9OnGgzqSX2xyRQCAxsblclXJEIEQ1CHP6/Xqzjvv1PLlyzV+/HiNHTu2Xq+fnJysuLg432PGjBn1en0AQM1FOR26uW+ypLKxef9e+5PJFQEAGpsZM2ZUyg/JyckBuU7QhjzDMDR+/HjNmzdPY8aM0UsvvVSj95W34J2upa48TZ+upa+izMxM5ebm+h6TJ0+uYfUAADPc3Let7/m/vsmU1xs0E0wDACxg8uTJlfJDZmZmQK5z9llKGiCv16tx48Zpzpw5uuWWWzR37lyFhNQsr0ZFRally5bavXu3PB5Ple6d5WPxysfmnUlsbCxLKABAEGnbNFLpaYlakZGtfTlF+mrnUQ1ISzS7LABAI+F0Os+63Js/BF1LXsWAN3r0aL355ptnHYd3qoEDB6qwsFCrVq2qsm/hwoW+YwAA1nPLRT+35r31zT4TKwEAIDCCKuR5vV7dddddmjNnjm688UbNmzfvjAEvOztbW7duVXZ2dqXtEyZMkCQ99thjKikp8W1fvHixFi5cqMsuu0ydOnUKzIcAAJjq8i7NlRhdNgHLwk2HlJXPpFkAAGsJqu6af/rTnzR37lxFR0erU6dOmj59epVjRo0apd69e0uSZs6cqWnTpmnKlCmaOnWq75jBgwdr3Lhxmj17tvr06aORI0fq8OHDevvttxUbG6sXX3yxnj4RAKC+hTlCdMMFyXpp2U65vYbeXfeT7jm5vAIAAFYQVCFvz549kqSCggI98cQT1R6TmprqC3ln8vLLL6tnz556+eWX9dxzzyk6OlpXXXWVnnjiCVrxAMDibu5bFvIk6V/f7NOE9PYKCbGZXBUAAP5hMwyDqcVqKS8vT3FxccrNzWXiFQAIUmNmr9HKHWXd+eePu1j9OjIBCwCgfgUqVwTVmDwAAPyl4gQs/2QCFgCAhRDyAACN0rCuzdU0qmwCli82H1ZRidvkigAA8A9CHgCgUQpzhGh4txaSpBK3V6t2HDW5IgAA/IOQBwBotC7v0sz3fPGWwyZWAgCA/xDyAACNVv+OiQoPLfsqXLz1iLxe5iIDAAQ/Qh4AoNEKD7VrwMlZNbPyXdq4P9fkigAAqDtCHgCgURvapbnvOV02AQBWQMgDADRqQ8/7eVzeoi1HTKwEAAD/IOQBABq1ZrHh6tkmTpK0+WCeDhw/YXJFAADUDSEPANDoDanQmrd4K615AIDgRsgDADR6lzMuDwBgIYQ8AECj161VrFrEhkuSvtp5VEUlbpMrAgDg3BHyAACNns1m05CTC6OXuL36asdRkysCAODcEfIAAJCUfnK9PEn64afj5hUCAEAdEfIAAJDUvXWc7/mmA3kmVgIAQN0Q8gAAkNQmPkKx4Q5J0o8Hck2uBgCAc0fIAwBAZePyurUqa807nOdSVr7L5IoAADg3hDwAAE7q3jrW93wTrXkAgCBFyAMA4CTG5QEArICQBwDASd1a0ZIHAAh+hDwAAE5qlxitiFC7JOnH/bTkAQCCEyEPAICT7CE2dT3Zmrcvp0i5J0pNrggAgNoj5AEAUEHFLpubGZcHAAhChDwAACro3qri5CuMywMABB9CHgAAFXStNPkKLXkAgOBDyAMAoIJOzWMUardJkrYeyje5GgAAao+QBwBABWGOEEU7HZKkohK3ydUAAFB7hDwAAE4R5ij7eixxe02uBACA2iPkAQBwCkIeACCYEfIAADhFmJ2QBwAIXoQ8AABOEeawS5JcHkIeACD4EPIAADhF2MnZNUvcXhmGYXI1AADUDiEPAIBTlI/Jk6RSDyEPABBcCHkAAJyiYsgrocsmACDIEPIAADhF+cQrklTK5CsAgCBDyAMA4BS05AEAghkhDwCAU5TPrimxjAIAIPgQ8gAAOEXF7pouQh4AIMgQ8gAAOEWl7pqEPABAkCHkAQBwCidj8gAAQYyQBwDAKUJPLoYuSaWEPABAkHHU9MAhQ4b49cI2m02LFy/26zkBAPCHUJZQAAAEsRqHvKVLl8pms8kwDL9c2Gaznf0gAABMUDHk0V0TABBsahzyJKl79+567rnn6nzR++67T5s2barzeQAACISKE6+Uevzzx00AAOpLrUJeXFycBg4cWOeLxsXF1fkcAAAECmPyAADBrMYhr2fPnkpLS/PLRTt27KiCggK/nAsAAH+rNCaPkAcACDI1Dnnr16/320XnzJnjt3MBAOBvlcbkMfEKACDIsIQCAACnCLMzJg8AELwIeQAAnCLUwZg8AEDwqtXEK+dixYoVWrNmjTwej3r27Knhw4fLbrcH+rIAAJwzxuQBAIJZwFry9u3bp0suuUSjRo3SqlWrtHbtWo0fP15du3bVhg0bAnVZAADqjHXyAADBLCAtebm5uRoyZIguu+wyLV68WFFRUZIkt9ut6dOna/DgwVq7dq3atWsXiMsDAFAnlcbkuRmTBwAILgFpyXvqqaeUnJys1157zRfwJMnhcGjq1KkaPny4HnrooUBcGgCAOqO7JgAgmAWkJW/BggX6+9//7nv99ddfq7S0VJdddpkkacqUKTr//PNVUlKisLCwQJQAAMA5YzF0AEAwC0jIy8zMVMeOHX2vr776auXk5Mjj8UiS0tLS5HK5dOTIEbVp0yYQJQAAcM5CHT+35LlYJw8AEGQCEvKaNWumzMxMnXfeeZKkl156ScXFxb79mZmZstvtatq0aSAuDwBAndjOfggAAA1WQELe1VdfrRdffFHDhg2TJF1//fWV9v/tb3/ToEGDFBEREYjLAwBQJ17j58lWQmxEPgBAcAnIxCuPPfaYVq1apccff7zKvtdee01z5szR008/HYhLAwBQZxWH4dkDttgQAACBEZCWvBYtWmjhwoW67rrr9M4772j48OEKDQ3V8uXLtXv3br3//vvq3bt3IC4NAECdebwVWvJCaMkDAASXgP19snfv3tq6dasee+wxSdKJEyd01113aceOHRo+fHigLgsAQJ1V7K5pp7smACDIBKQlr1xYWJhuu+023XbbbYG8DAAAflUp5NGSBwAIMow0AADgFJW6a9KSBwAIMrUKeTNmzNCnn36qAwcOBKoeAABMR0seACCY1aq75qOPPirbyb9oJiQkqHfv3urVq5fv365du8putwekUAAA6kvF2TXJeACAYHPOY/KOHj2qxYsXa/Hixb7gFxoaqq5du1YJf02aNPFXvQAABByzawIAglmtQl54eLhcLpfS0tI0ZswYNW/eXBs2bNCGDRv0ww8/KD8/X+vXr9f69et9wU+SkpOT1atXL/Xp00dTp07192cAAMCvmF0TABDMbIZR4ZvsLA4cOKBHH31Ub775pgzD0LBhw/Tkk0+qV69ekqRdu3b5Qt+GDRu0fv167d279+eL2WzyeDz+/xT1LC8vT3FxccrNzVVsbKzZ5QAA/Ow/PxzQvfO/lyQ9NrKLxqW3N7kiAIAVBSpX1Kolr1WrVpozZ47uv/9+TZo0SQsXLtSiRYs0ZswYTZ8+Xe3bt1f79u117bXXViq8YvADAKChY3ZNAEAwO6clFHr06KHPPvtMixYtUq9evfTGG2+oU6dOevjhh5Wbm1vp2NjYWKWnp+vee+/VrFmz/FI0AACBxOyaAIBgVqd18oYMGaK1a9fqzTffVPPmzfXUU0+pQ4cO+vvf/67S0lJ/1QgAQL2qNLsmIQ8AEGT8shj6bbfdpm3btunpp5+WYRh64IEH1LlzZ7311lv+OH0l8+bN0913360LL7xQTqdTNptNc+fOrdU5li5dKpvNdtrH6tWr/V43ACB4eCt11zSxEAAAzsE5L6FwqrCwMD3wwAMaN26cnnjiCT3//PMaM2aMPvvsM73xxhv+uowee+wx7d27V4mJiWrZsmWliV1qa+DAgRo0aFCV7W3atKlDhQCAYFdY4vY9dzpY/xUAEFz8EvJ++uknbd68WZs2bdLmzZu1efNm2e12GYahQ4cO+eMSPrNnz1ZaWppSUlL017/+VZMnTz7ncw0aNIglHQAAVezMKvA9b5cYaWIlAADUXq1C3r59+yoFuU2bNmnLli0qKCj7MixfjSEkJEQdO3ZUjx49NHLkSL8WfPnll/v1fAAAnCrj8M8hr2NSjImVAABQe7UKeampqb5FzssDXfPmzXXxxRerR48e6tGjh3r27KmuXbsqPDzc/9X6WUZGhp577jkVFRUpJSVFw4YNU2JiotllAQBMtuNIWchrFuNUXGSoydUAAFA759Rds0uXLhozZoxuvfVWtW3b1t811Zv58+dr/vz5vtcRERGaNm2aHnroIROrAgCY6WiBS0cLSyRJac2jTa4GAIDaq/XsmoZhaMuWLXr00UfVoUMHdevWTbfccov++te/6rPPPtOBAwcCUadfJSUl6emnn9aWLVtUWFio/fv3a968eUpISNCkSZP08ssv1+g8eXl5lR4ulyvAlQMAAi3jyM9dNdOa0VUTAOA/LperSoYIhFq15L311ltav369NmzYoPXr1+vQoUPasmWLtmzZogULFviOS0hIUK9evSo9unbtqtDQhtHlpVu3burWrZvvdWRkpG677Tb16tVLF1xwgaZMmaLx48crJOTMGTg5ObnS6ylTpjCRCwAEuYohr2MzWvIAAP4zY8YMTZs2LeDXqVXIGz16tEaPHu17nZWVVSn0bdiwQdu2bdPRo0f15Zdf6ssvv/SN4XM4HOrSpYvWr1/v1w/gT927d9fFF1+sFStWaMeOHerUqdMZj8/MzFRsbKzvtdPpDHSJAIAA23E43/c8jZAHAPCjyZMn6/777/e9zsvLq9Jw5A91WkIhKSlJw4YN07Bhw3zbXC6XNm3aVCn8/fDDD8rNzdXGjRvrXHCglU+8UlRUdNZjY2NjK4U8AEDwq9RdszndNQEA/uN0OuulYchvi6GXczqdOv/883X++edX2r5nzx5t2LDB35fzK7fbrXXr1slmswX1hDIAgHNXHvKaRoUpISrM5GoAAKi9Wk+8cq5SU1N1zTXX1NflJEnZ2dnaunWrsrOzK23/+uuvfUtAlHO73XrooYe0d+9ejRgxQgkJCfVZKgCgATheVKKs/LJJtBiPBwAIVjVuyfvTn/6ktm3b6vbbb6/zRefOnat9+/bp8ccfr/V7Z8+erZUrV0qSr/vn7NmztXTpUknSqFGjNGrUKEnSzJkzNW3atCoTotxyyy2y2Wzq16+fWrdurePHj2v58uXatm2b2rZtq5deeqlOnw8AEJx2VOqqScgDAASnGoe8qVOnasCAAX4Jea+++qq++uqrcwp5K1eu1Ouvv15p26pVq7Rq1SpJZS2G5SHvdCZOnKjPP/9cS5cuVXZ2thwOhzp27KhHH31UDzzwgOLj42tdFwAg+LF8AgDACmzGqf0WTyMkJEQDBgzQ8uXL63zR9PR0ffXVV/J4PHU+lxny8vIUFxen3NxcJl4BAAv508eb9dqq3ZKk+eMuVr+OiSZXBACwskDlilpNvPLdd9+pffv2db7ooUOH6nwOAAD8LePIz8sndKS7JgAgSNUq5BUXF2vPnj1+uXD5+nkAADQU5WPy4iJClRTN2qcAgOBU45C3e/fuQNYBAICp8otLdTC3WFLZIuj8MRIAEKxqHPJSUlICWQcAAKZiZk0AgFXU2zp5AAA0ZNsO/Twej5k1AQDBjJAHAICkbYd/DnnntSDkAQCCFyEPAABVbsnrRMgDAAQxQh4AAJK2n2zJS4wOUyIzawIAghghDwDQ6GUXuJRdUCJJ6kwrHgAgyBHyAACNXqWums0JeQCA4EbIAwA0ehVDHpOuAACCHSEPANDoVQx5nVvEmlgJAAB1R8gDADR6Ww9XXCOPhdABAMHNUZuD7XZ7nS5ms9nkdrvrdA4AAPzJ6zWUcTLktU2IVJSzVl+NAAA0OLX6JjMMo04Xq+v7AQDwt5+OnVBRiUcSk64AAKyh1n+utNls6ty5s8aOHavrrrtO0dF0awEABK+th/J8z5l0BQBgBbUKeX//+9/1z3/+U999950ee+wxPfHEE7r22ms1duxYXX755QoJYYgfACC4bD9ccdIVQh4AIPjVKpX97ne/0zfffKOtW7dq8uTJatasmf75z3/qiiuuUOvWrfXAAw9o3bp1gaoVAAC/23qIkAcAsJZzanrr1KmTpk+frl27dmn58uW666675HK59Pe//119+/ZVt27d9OSTTyozM9Pf9QIA4FflLXmhdpvaJUaZXA0AAHVX5/6VAwYM0CuvvKJDhw7pnXfe0VVXXaWdO3fqkUceUbt27XTvvff6o04AAPyuxO3VrqxCSVKHpGiF2hl2AAAIfn77NgsLC9P111+vDz74QF988YWSk5Pl9Xq1fft2f10CAAC/2plVILe3bOZnumoCAKzCb4sBHT58WG+99ZbefPNNrV+/XoZhKDo6WgMGDPDXJQAA8CsmXQEAWFGdQt6JEyf0/vvv680339TixYvldrtlt9s1fPhwjR07Vtdee60iIiL8VSsAAH61reKkK6yRBwCwiFqHPMMwtGjRIs2bN0/vv/++CgsLZRiG+vTpo7Fjx+qWW25R8+bNA1ErAAB+lXGkwPechdABAFZRq5D30EMPaf78+Tp06JAMw1BycrLuvfdejR07Vl26dAlUjQAABETGye6aEaF2tW5CzxMAgDXUKuT97W9/k81mU+fOnTVmzBgNHDhQNptNx44d01dffVWjc/Tr1++cCgUAwJ+KSz3al1MkSerYLFohITaTKwIAwD/OaUzetm3b9Mc//rHW77PZbHK73edySQAA/GpnVoFOTqyptGbR5hYDAIAf1SrktW3bVjYbf+kEAAS/HRXG46UxHg8AYCG1Cnl79uwJUBkAANSvissn0JIHALASvy2GDgBAMMk4zMyaAABrIuQBABql8uUTwkND1CaemTUBANZByAMANDrFpR7tPVooiZk1AQDWQ8gDADQ6u7IKK8ysSVdNAIC1EPIAAI1OxpEKk640Z9IVAIC1EPIAAI1OxUlXaMkDAFgNIQ8A0OhUbMnrREseAMBiCHkAgEanvCXP6QhRm/hIk6sBAMC/CHkAgEbF5fZoT4WZNe3MrAkAsBhCHgCgUak8syZdNQEA1kPIAwA0KuWLoEtSWnMmXQEAWA8hDwDQqGw7lOd7TkseAMCKCHkAgEZl8ZYjvufdW8eZWAkAAIFByAMANBo7jhRo66Gy5RN6JzdRqyYRJlcEAID/EfIAAI3GJz8c9D3/Zc+WJlYCAEDgEPIAAI3GJxsP+J5f2YOQBwCwJkIeAKBR2H44X9tPLoJ+QUo8XTUBAJZFyAMANAr/oasmAKCRIOQBACzPMAx98kNZV02bTbqiOyEPAGBdhDwAgOVtO5yvnVmFkqS+KQlqERduckUAAAQOIQ8AYHn/2VChq2YvWvEAANZGyAMAWJphGPpkY1nIs9mkX3RvYXJFAAAEFiEPAGBpmw/maXd2WVfNi9slqFkMXTUBANZGyAMAWFrlWTVbmVgJAAD1g5AHALCsslk1y0JeCF01AQCNBCEPAGBZP+7P076cIknSpR2aKjHaaXJFAAAEHiEPAGBZ/zm5Np5EV00AQONByAMAWJJhGL7xePYQm0Z0o6smAKBxIOQBACxpw0+52n/8hCSpf8dEJUSFmVwRAAD1g5AHALCk/2yo0FWzBwugAwAaD0IeAMByDMPQpycXQHeE2DS8W3OTKwIAoP4Q8gAAlrP9cIEO5BZLKuuq2SSSrpoAgMaDkAcAsJyvdmb7nqenJZpYCQAA9Y+QBwCwnFU7jvqe9+9IyAMANC6EPACApbg9Xq3ZVRbyEqLC1Ll5jMkVAQBQvwh5AABL2XQgT/kutyTp0vZNFRJiM7kiAADqFyEPAGApX+38uatmv45NTawEAABzEPIAAJZScdKVfh0YjwcAaHwIeQAAy3C5Pfp2T44kqWVcuFKbRppcEQAA9Y+QBwCwjPX7jqu41CuprBXPZmM8HgCg8SHkAQAsY1XF8XgdGI8HAGicgi7kzZs3T3fffbcuvPBCOZ1O2Ww2zZ07t9bn8Xq9mjlzpnr27KmIiAglJSXppptuUkZGhv+LBgDUi68rjsdj0hUAQCMVdCHvscce0yuvvKK9e/eqZcuW53yee+65R/fdd588Ho/uu+8+XXnllfroo4/Ut29fbd682Y8VAwDqQ1GJW9/vOy5Jap8YpZZxEeYWBACASYIu5M2ePVt79uxRVlaW7rnnnnM6x5IlSzRr1iylp6dr3bp1euqpp/T666/rk08+UV5eniZOnOjnqgEAgfbN7hy5vYYk6VK6agIAGrGgC3mXX365UlJS6nSOWbNmSZKmT58up9Pp2z506FCNGDFCy5cv1/bt2+t0DQBA/fq60ng8lk4AADReQRfy/GHp0qWKiopS//79q+wbMWKEJGnZsmX1XRYAoA4qLoJOSx4AoDFrdCGvsLBQBw8eVLt27WS326vsT0tLkyQmYAGAIHK8qEQ/HsiVJHVpGauEqDCTKwIAwDwOswuob7m5Zb8ExMXFVbs/Nja20nFnkpeXV+m10+ms1P0TAFA/Vu/KkVE2HI+lEwAADZbL5ZLL5fK9PjVP+Euja8nzp+TkZMXFxfkeM2bMMLskAGiUKi6d0J+lEwAADdSMGTMq5Yfk5OSAXKfRteSVt+CdrqWuPE2frqWvoszMTF/LnyRa8QDAJOXj8ewhNvVNTTC5GgAAqjd58mTdf//9vtd5eXkBCXqNLuRFRUWpZcuW2r17tzweT5VxeeVj8crH5p1JbGxspZAHAKh/O44UKONIgSSpZ5s4xYSHmlwRAADVq6/hXY2yu+bAgQNVWFioVatWVdm3cOFC3zEAgIbvnbWZvucje7Q0sRIAABoGS4e87Oxsbd26VdnZ2ZW2T5gwQZL02GOPqaSkxLd98eLFWrhwoS677DJ16tSpXmsFANReqcerd9fulySF2m26tk9rkysCAMB8Qdddc/bs2Vq5cqUkaePGjb5tS5culSSNGjVKo0aNkiTNnDlT06ZN05QpUzR16lTfOQYPHqxx48Zp9uzZ6tOnj0aOHKnDhw/r7bffVmxsrF588cX6/EgAgHO0bFuWsgvKZim7vEtzNY1mbDQAAEEX8lauXKnXX3+90rZVq1b5ul6mpqb6Qt6ZvPzyy+rZs6defvllPffcc4qOjtZVV12lJ554glY8AAgSC777uavmTRcGZoYyAACCjc0wylcWQk3l5eUpLi5Oubm5TLwCACbJynfp0hmL5fYaah7r1Ko/DJHDbulRCAAAiwlUruDbEAAQlD74fr/c3rK/U15/fhsCHgAAJ/GNCAAIOoZh6O0KXTVvpKsmAAA+hDwAQND5PvO4dpxcG++idglqlxhlckUAADQchDwAQNB5hwlXAAA4LUIeACCoFJW49fGGg5KkqDC7ruzRwuSKAABoWAh5AICg8tnGQypwuSVJV/VqpciwoFsNCACAgCLkAQCCygImXAEA4IwIeQCAoLEnu1BrdudIkjokRen8tk3MLQgAgAaIkAcACBrvrP25FW9032TZbDYTqwEAoGEi5AEAgoLHa+jfa3+SJNlDbLq2TxuTKwIAoGEi5AEAgsLyjCwdznNJkoac10xJMU6TKwIAoGEi5AEAggJr4wEAUDOEPABAg5dTWKIvNh+WJCVGOzWoc5LJFQEA0HAR8gAADd6y7UdU6jEkSded31qhdr6+AAA4Hb4lAQAN3rd7jvmeD+xEKx4AAGdCyAMANHjf7SlbG88eYlPv5CbmFgMAQANHyAMANGi5RaXafrhAktStVayinA6TKwIAoGEj5AEAGrS1+3J8zy9MSTCxEgAAggMhDwDQoFUcj3dharyJlQAAEBwIeQCABm1txZCXQsgDAOBsCHkAgAbL5fZo/U/HJUkpTSPVLDbc3IIAAAgChDwAQIP14/5clbi9khiPBwBATRHyAAANFuPxAACoPUIeAKDB+q5CyOtLyAMAoEYIeQCABsnrNbR2b9nyCfGRoeqQFG1yRQAABAdCHgCgQdqVXaBjRaWSpAtSEmSz2UyuCACA4EDIAwA0SIzHAwDg3BDyAAANEuPxAAA4N4Q8AECD9N3J8XhhjhB1bx1ncjUAAAQPQh4AoME5klesvUeLJEm92zSR02E3uSIAAIIHIQ8A0OB8t/fnrpoX0FUTAIBaIeQBABqclTuyfc8ZjwcAQO0Q8gAADUpxqUcfbzggSYoIteuidk1NrggAgOBCyAMANCgLNx1SfrFbknRFjxaKdjpMrggAgOBCyAMANCj/XvuT7/mNFySbWAkAAMGJkAcAaDD2Hz/hG4/XNiFSF7dLMLkiAACCDyEPANBgvLv2JxlG2fMbLmijkBCbuQUBABCECHkAgAbB6zV8XTVtNun6C9qYXBEAAMGJkAcAaBDW7M7RvpyyBdAHdExU6yYRJlcEAEBwIuQBABqEd9Zm+p7fQCseAADnjJAHADBdfnGpPtt4SJIUE+7QiG4tTK4IAIDgRcgDAJjukx8O6kSpR5J0Te9WCg+1m1wRAADBi5AHADDdO6yNBwCA3xDyAACm2plVoLV7j0mSOjWPVs82cSZXBABAcCPkAQBM9c53P7fi3XRhsmw21sYDAKAuCHkAANO4PV69t64s5DlCbBrVp7XJFQEAEPwIeQAA06zIyNaRfJckach5zZQY7TS5IgAAgh8hDwBgmgXf/bw23o0XMuEKAAD+QMgDAJjieFGJFm05LElKjA7ToM5JJlcEAIA1EPIAAKb4ft9xlXoMSdIve7ZSqJ2vJAAA/IFvVACAKbYdzvc975XMsgkAAPgLIQ8AYIpth34OeZ2ax5hYCQAA1kLIAwCYojzk2UNs6pAUbXI1AABYByEPAFDv3B6vdmQVSJJSm0YqPNRuckUAAFgHIQ8AUO/2HC1SidsrSTqvRazJ1QAAYC2EPABAvWM8HgAAgUPIAwDUu4oza3ZuQcgDAMCfCHkAgHq37VCe7zkhDwAA/yLkAQDq3fbDZZOuhIeGqG1CpMnVAABgLYQ8AEC9OlHi0Z6jhZKktGYxsofYTK4IAABrIeQBAOrVjiMFMoyy53TVBADA/wh5AIB6tbXCeLzzCHkAAPgdIQ8AUK+2H2b5BAAAAomQBwCoV1srrJFHSx4AAP5HyAMA1KvylrwmkaFKinGaXA0AANZDyAMA1Buv19DhPJckqVmMUzYbM2sCAOBvhDwAQL0JCbH5umhmHClQTmGJyRUBAGA9hDwAQL26rFOSJMkwpJU7sk2uBgAA6yHkAQDq1cCTIU+Slm3LMrESAACsiZAHAKhXF6bGKyLULklanpElo3xldAAA4BdBGfK+/fZbXXnllYqPj1dUVJQuuugizZ8/v8bvX7p0qWw222kfq1evDmD1ANC4OR12XdqhqSQpK9+lLQfzz/IOAABQGw6zC6itpUuXasSIEQoLC9PNN9+suLg4vffee7rtttu0Z88ePfLIIzU+18CBAzVo0KAq29u0aePHigEAp7osLVFfbj0iqaw1r2urWJMrAgDAOoIq5Lndbo0bN042m03Lly9Xnz59JElTpkzRpZdeqilTpujGG29UWlpajc43aNAgTZ06NYAVAwCqM7BzM+njzZLKxuXdM7CDyRUBAGAdQdVd88svv9TOnTt16623+gKeJMXExOiPf/yj3G635syZY2KFAICaSG0aqeSECEnSd3tzVOhym1wRAADWEVQhb+nSpZKk4cOHV9lXvm3ZsmU1Pl9GRoaee+45/fWvf9Vbb72l7Gym8gaA+mCz2XyzbJZ6DH2986jJFQEAYB1B1V0zIyNDkqrtjhkfH6/ExETfMTUxf/78ShO2REREaNq0aXrooYfqXiwA4IwuS0vSvNX7JJWNy7u8a3OTKwIAwBqCqiUvNzdXkhQXF1ft/tjYWN8xZ5KUlKSnn35aW7ZsUWFhofbv36958+YpISFBkyZN0ssvv1yjevLy8io9XC5XzT8MADRy/TomyhFikyQt2856eQAA63O5XFUyRCAEVcjzl27duunBBx/Ueeedp8jISLVq1Uq33XabPv/8c4WFhWnKlCnyer1nPU9ycrLi4uJ8jxkzZtRD9QBgDdFOhy5IiZck7T1apD3ZhSZXBABAYM2YMaNSfkhOTg7IdYIq5JW34J2utS4vL++0rXw10b17d1188cU6fPiwduzYcdbjMzMzlZub63tMnjz5nK8NAI3RwM5JvufLM2jNAwBY2+TJkyvlh8zMzIBcJ6hCXvlYvOrG3R07dkzZ2dk1Xj7hdBITEyVJRUVFZz02Nja20sPpdNbp2gDQ2JRPviKVLaUAAICVOZ3OKhkiEIIq5A0cOFCS9N///rfKvvJt5cecC7fbrXXr1slms6lt27bnfB4AQM10bRmrpJiyP5Atz8jSgeMnTK4IAIDgF1Qhb+jQoWrfvr3mz5+v9evX+7bn5+frz3/+sxwOh26//Xbf9uzsbG3durXK0ghff/21DMOotM3tduuhhx7S3r17NWLECCUkJATyowAAVLaUwugLy8YjlHoMvbRsp8kVAQAQ/IIq5DkcDs2ePVter1fp6emaMGGCHnzwQfXq1UubNm3S1KlT1alTJ9/xM2fOVJcuXTRz5sxK57nlllvUvn173XbbbZo0aZImTJig7t2769lnn1Xbtm310ksv1fdHA4BG664B7RQZZpck/eubTB3KLTa5IgAAgltQhTxJGjx4sFauXKkBAwZowYIFeuGFF9S0aVPNmzdPjz76aI3OMXHiRKWmpmrp0qX6xz/+oX/+859yOp169NFHtX79eqWkpAT4UwAAysVHhelXl6ZKkko8Xr28nNY8AADqwmac2m8RZ1U+i2dubm7ABksCQGOSXeBS+pNLdKLUI6cjRCsmDVaz2HCzywIAIKAClSuCriUPAGA9idFOjbmkbMIrl9urV5bvMrkiAACCFyEPANAgjL+svZyOsq+leWv2KrvAZXJFAAAEJ0IeAKBBaBYTrlsvLmvNKy71atYKWvMAADgXhDwAQINxz8AOCjvZmvfm13uVU1hickUAAAQfQh4AoMFoHhuum/uWrZtXVOLRqytpzQMAoLYIeQCABuWegR0UardJkl7/aq+OF9GaBwBAbRDyAAANSqsmEbrxwrLWvAKXW6+t2mNuQQAABBlCHgCgwfmfQR3kCClrzZuzardyT5SaXBEAAMGDkAcAaHDaxEfqhgvaSJLyi9265ZXV2pB53NyiAAAIEoQ8AECD9D+DOioyzC5J2nwwT9e+sErTPt6kApfb5MoAAGjYCHkAgAapbdNI/WvCJTqvRYwkyWtIc1bt0bBnlumLzYdNrg4AgIaLkAcAaLB6tmmij+8boIevOE/hoWVfWQdzizX+je90z5trdSi32OQKAQBoeAh5AIAGLdQeonsGdtB//99AXdYpybf9802HdPkzy/TG13vk8RomVggAQMNCyAMABIW2TSP1+h199Y+beysxOkxS2RILj3+4Sde/+JW2HMwzuUIAABoGQh4AIGjYbDZd07u1Ft0/UDf3TfZtX595XL98fqVmfLZFJ0o8JlYIAID5CHkAgKDTJDJMf72+p96ecIk6JEVJkjxeQy8v26Xhzy7Tsu1ZJlcIAIB5CHkAgKB1cfum+vR36fr95Z0UZi/7SsvMOaFfv/aNfvvW98rKd5lcIQAA9Y+QBwAIak6HXb+7PE2f/b90Xdwuwbf9ow0HdPkzy/Svb/bJy8QsAIBGhJAHALCEDknR+teES/TUDT0VFxEqSco9UaqH39uom19ZrR1H8k2uEACA+kHIAwBYhs1m000XJmvxAwM1qncr3/Zv9uToin+s0N/+u02ZOUUmVggAQODZDMOgD0st5eXlKS4uTrm5uYqNjTW7HADAaazIyNJjH/yovUcrB7vUppFKT0vSgLREXdqhqWLDQ02qEADQmAUqVxDyzgEhDwCCR3GpR88tztAry3fJXc3YPHuITb2Tmyg9LVHpaYnq1aaJHHY6ugAAAo+Q14AQ8gAg+OzKKtAnPxzUioxsrdt3rNrAJ0kx4Q7169BUA9KSdFlaolKaRtVzpQCAxoKQ14AQ8gAguBW43Fq986hW7sjW8ows7coqPO2xyQkRSk9LUnrHRPXrkKi4SLp2AgD8g5DXgBDyAMBa9h8/oZUZWVqRka2VO7J1vKi02uNCbFKv5CZK75io9E5J6p3cRKF07QQAnCNCXgNCyAMA6/J4DW06kKsVGdlakZGltXuPqdRT/VdltNOhS9o39Y3na5cYJZvNVs8VAwCCFSGvASHkAUDjUehy65vdOb7Ql3Gk4LTHtm4ScTLwJal/x6ZqEhlWj5UCAIINIa8BIeQBQON1KLdYKzKytHJHtlZmZOtoYUm1x9lsUs/WcRpwMvSd3zZeYQ66dgIAfkbIa0AIeQAASfJ6DW0+mKeVO8pa+b7dc0wlbm+1x0aG2XVJ+6Ya0DFRl3VKVIekaLp2AkAjR8hrQAh5AIDqnCjx6Js9Ob5JXLYeyj/tsS3jwjXg5AQu/Ts0VdNoZz1WCgBoCAh5DQghDwBQE0fyik+28pU9sgtcpz02Mdqp1vERatMkQq3jI9S6yclHfNkjNpylGwDAagh5DQghDwBQW4ZhaOuhfK3MKFub75vdOXKdpmtndWLCHZWD3yn/JkU76f4JAEGGkNeAEPIAAHVVXOrRd3uOacWOLH2355gyc4p0JP/0LX1nE+YI+TkENolQqwohsE18hFrEhbOmHwA0MIS8BoSQBwAIBJfbo0O5xdp/7IR+On5C+4+d0P4K/x7MPXHaNfvOJsQmNY8Nr74l8OTzyDCHnz8RAOBMApUr+GkOAEAD4XTYldI0SilNo6rd7/UaOpLv0v7jRdp/vPhk+CuqFAYLSzzVv9eQDuYW62Busb7be6zaY+IjQysEv8hKLYGtm0SoSWQoXUIBIAgQ8gAACBIhITa1iAtXi7hwXZBSdb9hGMo9UaqfTmkB3H/shA7klv17unX9JOlYUamOFZXqx/151e6PDLNX2xW0vCWwWUy47CGEQAAwGyEPAACLsNlsahIZpiaRYereOq7aY06UeMqCny8EVm4JPJRXLO9peoQWlXiUcaRAGUcKqt3vCLGpZZPwU1oCw33PWzUJl9Nh99fHBQCcBiEPAIBGJCLMro7NotWxWXS1+0s9Xh3OK64yHrDi89PNCur2GsrMOaHMnBOScqo9JinG6Wv5a1PN+MAYlooAgDoj5AEAAJ9Qe4jaxEeqTXxktfsNw1B2QUmllsADx4srdBEtUl6x+7Tnz8p3KSvfpfWZx6vdX75URJtK4a+sJbB5rFNRToeiwhx0CwWAM2B2zXPA7JoAAJxefnFplTGB5bOFHjh+ok5LRZSLCLUryulQtLPs37Lnjp+3hf28LdJpL9sXVvE4u+/4yDA7E8oAMAWzawIAgKAQEx6q81qE6rwW1f/C4nJ7dPB4cZUAWDZr6AkdPF4s9+kGBp50otSjE6UeZVc/PLBWbDadDID2n0Ng2M+BMbLSNnuFMOk4GTArb3M6QgiNAExFyAMAAPXK6bArNTFKqYnVLxXh8Ro6kl+sA8dPVJop9GhBiQpL3CpwuVXocqvQ5fE9P1soPBPDkApcZeeV6t7KaA+xKSrMXiEEngyQYY5K207bCnkyUJZvC3OwiD2A2iHkAQCABsUeYlPLuAi1jIuodqmIUxmGIZfbWzn4VQiDRRXCYEFJ1YBY6Co/1lP2usR92hlGa8LjNZRX7D7j2MTaCLOHKMppV2TYz11NKwfD07VCVm5lLAuPdjnshEbA6gh5AAAgqNlsNoWH2hUealfT6icNrRXDMHSi1FM5+PmCo+eUYFjNtpLKIbLoNAvU11SJx6uSIq+OFZXW/cNJcjpCTt+iGHb6VsaoU8Y6lr8OYRIcoMEh5AEAAFRgs9kUGeZQZJhDiqn7+bxeQ4UlZWGvoJqWw8otip5TWhwrh8jCEreKS6tfwqKmXG6vXO4SHS0sqfuHkxQZZq8S/KoLkRUnujnduMaIUCbBAfyBkAcAABBAISE2xYSHKiY8VM39cD63x6vCklNbFCt0Pz3NuMWKLYsV95d46hYai0o8KirxKMsPs6aG+CbBqdrVtGK31KjTtTie0qWVSXDQWBHyAAAAgojDHqK4iBDFRfhn4fiSk+MZf+5qWqFFsZpWxkJX1S6pP7/fI08dBjR6DSnf5Va+yz/jGR0htp+X0jg5HtERYpM9xKZQe9m/jpCQk//a5LBXfW0POfU9P78uO6bC65PvP/V1+bF2u02h5a/tFc4RElL5tf0M1wixEVxxVoQ8AACARizMEaIwR5jio8LqfK7ySXDO1C21fFtRSTXjGk9phSwscasuKzq7vYZyT5Qq94R/xjM2FCE2nTUInvraXoNjzn6OkJPBteYh1x4SotBTXv8cqCu/Lg/dla8RohCbCLa1RMgDAACAX1ScBCcx2lnn83m9ZZPgnK5bapVxjSWnb4U8UVK21Ibba9SptbEh8BplLbD+GVUZHE5tea3SEntKaKzumLO95/TnOENrbg1aa6t9ffJaRQV17+ZcHUIeAAAAGqSQk90to5wONfPjeQ2jLOj5Qp/HkNvrlcdrqPTU157yY70/v8dz9tcer9cXKEvP8rrsPVVfeyqE0tIqr085xyk1eDyGSit8hmBX6in/HHUbQ9rQeF1FATkvIQ8AAACNis12sgXGbnYl9cfr/Tn0nRoC3Z6Koddb+fVZw+aZX5t1jmBvra0rQh4AAABgcSEhNjlDGk+q9XoNeYzTt5RWF3Krfe2pGDYrB2CP11uhpbdmr92nnK+oIF/zAvD5CXkAAAAALCUkxKYQ2RTawHNtXl6e5v2P/88b4v9TAgAAAADMQsgDAAAAAAsh5AEAAACAhRDyAAAAAMBCCHkAAAAAYCGEPAAAAACwEEIeAAAAAFgIIQ8AAAAALISQBwAAAAAWQsgDAAAAAAsh5AEAAACAhRDyAAAAAMBCCHkAAAAAYCGEPAAAAACwEEIeAAAAAFgIIQ8AAAAALISQBwAAAAAWEpQh79tvv9WVV16p+Ph4RUVF6aKLLtL8+fNrdQ6v16uZM2eqZ8+eioiIUFJSkm666SZlZGQEqGoAAAAACLygC3lLly7VgAEDtGLFCt1www2aOHGisrOzddttt+kvf/lLjc9zzz336L777pPH49F9992nK6+8Uh999JH69u2rzZs3B/ATAAAAAEDgBFXIc7vdGjdunGw2m5YvX65Zs2bpf//3f7VhwwZ169ZNU6ZMqVFL3JIlSzRr1iylp6dr3bp1euqpp/T666/rk08+UV5eniZOnHjG97tcrkr/ovFyuVyaOnUq9wIkcT+gMu4HlONeQEXcD6goULkiqELel19+qZ07d+rWW29Vnz59fNtjYmL0xz/+UW63W3PmzDnreWbNmiVJmj59upxOp2/70KFDNWLECC1fvlzbt28/7fsJeSjncrk0bdo07gVI4n5AZdwPKMe9gIq4H1ARIU9lXTUlafjw4VX2lW9btmxZjc4TFRWl/v37V9k3YsSIGp8HAAAAABqaoAp55V0x09LSquyLj49XYmLiWbtrFhYW6uDBg2rXrp3sdnuV/eXnZgIWAAAAAMHIYXYBtZGbmytJiouLq3Z/bGysfvrppzqfo+Jx1TEMQ5J08ODBStudTmel7p+wvry8vEr/onHjfkBF3A8ox72AirgfGjeXy1Wpa2Z5nijPF/4SVCGvoSgtLZUkXXTRRSZXgoYiOTnZ7BLQgHA/oCLuB5TjXkBF3A+oqDxf+EtQhbzy1rfTtbLl5eWdtoWuNueoeFx1UlNTtXPnToWGhspms/m205IHAAAA4HRObckzDEOlpaVKTU3163WCKuRVHC93wQUXVNp37NgxZWdnq1+/fmc8R1RUlFq2bKndu3fL4/FUGZd3pnF/5UJCQtS+fftz+QgAAAAAEFBBNfHKwIEDJUn//e9/q+wr31Z+zNnOU1hYqFWrVlXZt3DhwhqfBwAAAAAaGpvh71F+AeR2u9W5c2ft379fq1evVu/evSVJ+fn5uvTSS7Vt2zZt2rRJnTp1kiRlZ2crOztbiYmJSkxM9J1nyZIlGjJkiNLT07Vo0SKFhYVJkhYvXqxhw4YpPT2dJRQAAAAABKWgaslzOByaPXu2vF6v0tPTNWHCBD344IPq1auXNm3apKlTp/oCniTNnDlTXbp00cyZMyudZ/DgwRo3bpxWrFihPn36aNKkSfr1r3+tkSNHKjY2Vi+++GKVaxuGoffee0+DBw9Wy5YtFRkZqc6dO+vuu+/Wrl27Av7ZUf/mzZunu+++WxdeeKGcTqdsNpvmzp172uPz8vJ0//33KyUlRU6nUykpKbr//vuZPcsiano/lJaW6t1339Xtt9+uLl26KCoqSjExMbr44ov1wgsvyOPx1H/x8Kva/myoaPfu3YqOjpbNZtM999wT2EJRL87lfti9e7fGjx/v+75o3ry5Bg8erHfeead+ikbA1PZ+yMjI0B133KG0tDRFRESodevWGjZsmD766KP6KxoBsX//fj377LMaPny42rZtq7CwMLVo0ULXX3+91qxZU+17/Pq7pBGE1qxZY/ziF78w4uLijIiICOPCCy805s2bV+W4KVOmGJKMKVOmVNnn8XiM5557zujWrZvhdDqNpk2bGjfccIOxbdu2aq95//33G5KMli1bGvfcc48xadIkY8SIEYbNZjNiYmKMjRs3+vtjwmQpKSmGJCMxMdH3fM6cOdUeW1BQYPTu3duQZAwbNsz4wx/+YPziF78wJBm9e/c2CgoK6rd4+F1N74ctW7YYkoyYmBjjmmuuMSZNmmTcfffdRqtWrQxJxlVXXWV4vd76/wDwm9r8bKjI6/UaAwcONKKiogxJxt133x34YhFwtb0f/vvf/xqRkZFGZGSkMXr0aGPy5MnGPffcY/Tr18+YMGFC/RWOgKjN/bB69WojIiLCcDgcxnXXXWf84Q9/MO644w4jLi7OkGRMnTq1fouHX/3hD38wJBkdOnQw7rzzTuPhhx82rr/+esNutxshISHG22+/Xel4f/8uGZQhr74dPHjQCAkJMVJTU43c3NxK+/7+978bkow77rjDpOoQKF988YWxZ88ewzAMY8aMGWf8Qf34448bkoxJkyZVu/3xxx8PdLkIsJreDz/99JPxwgsvGIWFhZW2FxQUGBdeeKEhyViwYEF9lIwAqc3Phor+8Y9/GA6Hw3jmmWcIeRZSm/th3759RmxsrJGWlmbs3bu3yv7S0tJAlop6UJv74YorrjAkGR9++GGl7Xv37jViY2ONiIgIo7i4ONAlI0DeffddY/ny5VW2L1++3AgNDTUSEhIq/ff19++SQdVd0yx79uyR1+tV//79fYullxs5cqQk6ciRI2aUhgC6/PLLlZKSctbjDMPQ7NmzFR0drccff7zSvsmTJys+Pl6vvvqq3xe5RP2q6f3QunVrTZw4UZGRkZW2R0VF6f7775ckxvwGuZreCxXt2LFDkydP1qRJk9SnT58AVQYz1OZ++Mtf/qK8vDy99NJLatu2bZX9DkdQTXqOatTmfti1a5dsNpt+8YtfVNretm1bde/eXSdOnFB+fn4gykQ9uO6665Senl5le3p6ugYPHqycnBxt3LhRUmB+lyTk1UBaWprCwsK0atWqKv9n+/TTTyVJQ4YMMaM0NAAZGRk6cOCA+vfvr6ioqEr7wsPDddlll2n//v3asWOHSRWioQgNDZXEL3KNjdfr1R133KGUlJQqX95oPAzD0IIFC9S0aVMNGTJEa9eu1TPPPKP//d//1aJFi+T1es0uEfWsW7duMgyjyqzxmZmZ+vHHH9WjR49KEwfCOk79fSAQv0vym0YNNG3aVE888YQeeughdenSRVdffbViYmK0ceNGLVq0SBMmTNB9991ndpkwydnWVqy4vuOZ1l+E9b322muSpOHDh5tcCerTs88+q6+++korV66U0+k0uxyYZPfu3crJyVHfvn01ceJEvfTSS5X29+nTRx999JHatGljUoWob3/+85+1cuVKXXfddbrmmmvUsWNHZWVl6b333lNKSooWLFhgdokIgH379mnRokVq0aKFevToISkwv0sS8mrowQcfVKtWrXT33XdXmn2zX79+GjNmjC+Ro/HJzc2VJMXFxVW7v7yLb/lxaJxeeeUVffbZZxoyZIiuvPJKs8tBPdm+fbsee+wx/e53v9Oll15qdjkwUfmwjnXr1mnLli2aM2eOrrnmGuXm5uovf/mLZs2apRtuuEGrV682uVLUl65du2r16tW68cYb9e9//9u3PT4+3jfjJqyltLRUY8eOlcvl0lNPPSW73S4pML9L0l2zhqZPn67bb79dkydPVmZmpgoKCrRy5Uq53W4NHjxY7733ntklAmigPvnkE917771KSUnRvHnzzC4H9cTr9er2229Xq1atNH36dLPLgcnKu2N6PB79+c9/1u233674+HilpqbqlVde0cUXX6w1a9Zo5cqVJleK+vLdd99pwIABSkhI0Nq1a1VYWKhdu3bprrvu0v33368bb7zR7BLhR16vV3feeaeWL1+u8ePHa+zYsQG9HiGvBr788kv98Y9/1L333qtHHnlEbdq0UVRUlPr376///Oc/ioiI0O9//3uzy4RJyv/qcrq/rpSvbXK6v87A2hYuXKjrr79ezZs315dffqmWLVuaXRLqyXPPPafVq1dr9uzZVSbiQeNT8Tvg6quvrrL/qquuklT2iz+sr7S0VKNHj5bNZtMHH3yg888/X5GRkWrXrp2efvppjR49Wu+//76WLFlidqnwA8MwNH78eM2bN09jxoyp0l07EL9LEvJq4JNPPpFUtoj6qZKSktSjRw/t27dP2dnZ9V0aGoCK/aSrc7Z+1rCuzz//XKNGjVJiYqKWLFmi9u3bm10S6tH69etlGIYGDx4sm83me5R/l7z88suy2WwaNWqUuYWiXnTs2NHXNatJkyZV9pdvO3HiRD1WBbNs3bpVu3bt0sUXX1ztH4HKJ/Rbu3ZtfZcGP/N6vbrrrrv02muv6ZZbbtHcuXMVElI5ggXid0nG5NVASUmJJCkrK6va/eXbGVDfOKWlpalVq1ZatWqVCgsLK82KVFxcrOXLl6tVq1bq2LGjiVWivpUHvISEBC1ZsoT//o3QwIEDq51J9eDBg/r000913nnnqX///iyp0Eg4nU7169dPK1as0ObNmzVgwIBK+zdv3ixJSk1NNaE61Dd+t2wcvF6vxo0bpzlz5mj06NF68803fX/sqSgQv0vSklcD/fv3lyQ988wzVZpRX3/9de3YsUMXXHCBYmJizCgPJrPZbBo3bpwKCgr0pz/9qdK+GTNm6NixYxo3bpxsNptJFaK+lQe8+Ph4LVmyhFbcRuqOO+7Q7NmzqzweeughSWUhcPbs2frNb35jcqWoLxMnTpQkTZ06VS6Xy7d969atmjt3rmJiYqqsmQZr6t69u+Li4rRq1aoqSygcOHBAL7zwgiRp0KBBJlQHfyhvwZszZ45uvPFGzZs3r9qAJwXmd0mbwQrNZ+XxeHT55Zdr6dKlSkpK0tVXX634+Hht2LBBX3zxhZxOpxYtWlTlr3IIbrNnz/YNgN+4caPWrVun/v37+/6KMmrUKF83q8LCQg0YMEDr16/XsGHDdMEFF2jDhg367LPP1Lt3b61cubLKuicILjW9H7Zu3arevXvL5XLp5ptvVufOnaucKzU1Vbfffnt9lg8/qs3PhuosXbpUgwcP1t13311lXAaCT23uB8MwdNNNN+nf//63OnfurBEjRig3N1fvvvuuioqK9MYbb+i2224z66PAD2pzP7z66qsaN26cQkJCNHLkSHXp0kWHDx/W+++/r7y8PP3mN7/RzJkzzfooqKOpU6dq2rRpio6O1u9+97tqe3aMGjVKvXv3lhSA3yUN1EhxcbHx5JNPGueff74RGRlpOBwOo3Xr1satt95qbNy40ezyEAC//vWvDUmnfUyZMqXS8cePHzd+//vfG8nJyUZoaKiRnJxs/P73vzeOHz9uzgeAX9X0fliyZMkZj5NkDBw40NTPgrqp7c+GU5XfI3fffXf9FIyAqu39UFpaajzzzDNGt27dDKfTacTGxhrDhw83li5das4HgF/V9n5YtGiR8ctf/tJISkoy7Ha7ERsba6Snpxuvv/66OR8AfnO2e0GSMWfOnErv8efvkrTkAQAAAICFMCYPAAAAACyEkAcAAAAAFkLIAwAAAAALIeQBAAAAgIUQ8gAAAADAQgh5AAAAAGAhhDwAAAAAsBBCHgAAAABYCCEPAAAAACyEkAcAQA0MGjRINpvN90hNTa1yTPk+s33wwQeVarXZbFq6dKnZZQEA6gkhDwBgKampqVUCTnh4uNq1a6cxY8bo22+/rdP5u3fvrv79+6tv375+qtj/mjZtqv79+6t///6KjY01uxwAQD2zGYZhmF0EAAD+kpqaqr179yotLU3NmjWTJOXm5mrHjh0qLi6W3W7XnDlzNHbs2Fqdd9CgQVq2bJmWLFmiQYMGVXtMeSteQ/pqrUndAABroSUPAGBJjzzyiFauXKmVK1dq48aNOnDggG644QZ5PB795je/0bFjx8wuEQCAgCDkAQAahfj4eL366quKiopSfn6+/vvf/5pdEgAAAUHIAwA0GrGxserUqZMkac+ePfV2XcMw9Nvf/lY2m00dO3bU3r17fTVUnMRl9uzZ6tOnjyIjI9W6dWv99re/VX5+viTJ4/Hob3/7m7p166aIiAi1adNGDz/8sEpKSurtcwAAggMhDwDQqBQVFUmSIiMj6+V6Ho9Hd955p55//nl1795dK1euVEpKSpXjHnjgAY0fP175+fnq0KGDjhw5oueff16jRo2S1+vVDTfcoAcffFCGYSglJUUHDhzQk08+qfHjx9fL5wAABA9CHgCg0cjIyNDOnTslSb179w749UpKSjR69GjNnTtXF110kZYtW6YWLVpUOW7//v169dVXtWjRIu3YsUMbN27U999/r6ZNm+rLL7/U9ddfr++++07ff/+9Nm/erK1bt+rLL79UWFiY3njjDW3evDngnwUAEDwIeQAAy8vLy9OiRYs0atQoud1u9e/fX+np6QG9ZlFRka6++mq9++67GjRokBYtWqSEhIRqj3W73Zo6daqGDh3q29a9e3dNmDBBUtm6d88//3ylYDpo0CBdd911kqSFCxcG7oMAAIIOIQ8AYEl33HGHb528uLg4DRs2TFu3btXo0aP18ccfB/Taubm5GjFihBYuXKiRI0fqs88+U0xMzBnfc+edd1bZVh7qEhISNGrUqCr7+/TpI0natWtXnWsGAFiHw+wCAAAIhPJ18gzD0KFDh7Rr1y6Fhoaqb9++io+PD+i1hwwZonXr1unmm2/WG2+8odDQ0DMen5SUVO2i5UlJSZKkDh06nPZ9klRQUFDHigEAVkJLHgDAksrXyVu1apV27typlStXKiYmRg8++KDmzZsX0Gvv2LFDktSjR4+zBjzp9JPAlC+ufrb9DWnxdQCA+Qh5AIBGoX///po1a5Yk6Xe/+53y8vICdq3PPvtM0dHRevTRR/Xss88G7DoAAFSHkAcAaDRGjRqlSy65RDk5OXrmmWcCdp1+/frpP//5jyIjI/X73/9eL7zwQsCuBQDAqQh5AIBG5eGHH5YkPffccwEdyzZw4EB9+OGHCg8P17333qtXX301YNcCAKAiQh4AoFG5+uqr1aVLFx07dkwvvvhiQK91+eWX67333lNoaKgmTJgQ8LGAAABIhDwAQCNjs9n04IMPSpKeeeYZFRcXB/R6V1xxhRYsWCC73a7bb79dCxYsCOj1AAAg5AEAGp0xY8aoVatWOnTokF577bWAX++aa67R/PnzJUm33XabPvjgg4BfEwDQeLFOHgDAUvbs2XPWY8LCwrR//36/X/tMSxnccMMNcrvdlbalpqae8T2DBg064/7bb79dt99+e63rBABYGyEPAIBauO+++xQXF6eWLVvqnXfeMbucaq1YsUKTJ0+WJG3cuNHkagAA9Y2QBwBALfz444+SpJSUFJMrOb2jR49q1apVZpcBADCJzThTPxAAAAAAQFBh4hUAAAAAsBBCHgAAAABYCCEPAAAAACyEkAcAAAAAFkLIAwAAAAALIeQBAAAAgIUQ8gAAAADAQgh5AAAAAGAhhDwAAAAAsBBCHgAAAABYCCEPAAAAACzk/wNloTGdPPoCgQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import TOVsolver.main as main\n", "import TOVsolver.EoS_import as EoS_import\n", "from matplotlib import pyplot\n", "import matplotlib.pyplot as plt\n", "import TOVsolver.constant\n", "from itertools import repeat\n", "import numpy\n", "# Main has two functions\n", "# Output.MRT() returns the mass, radius, tidal\n", "# OutputC_s() returns the speed of sound\n", "# Using the main functions with either arrays of density and pressure or a .csv with density and pressure columns\n", "# Function argument is either (filename = ) OR (density = , pressure = )\n", "# Example: main.OutputMR(filename = 'file.csv') OR main.OutputMR(density = array1, pressure = array2)\n", "MR = main.OutputMR(\"Test_EOS.csv\").T\n", "# Plot the Mass-Radius curve\n", "fig, ax = plt.subplots(1,1, figsize=(9,6))\n", "ax.plot(MR[0], MR[1],lw=2)\n", "ax.set_ylabel(r'M [$M_{\\odot}$]', fontsize=16)\n", "ax.set_xlabel('R [km]', fontsize=16)\n", "ax.set_xlim(8., 20.)\n", "ax.set_ylim(0,3)\n", "ax.legend()\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "fig.tight_layout()\n", "plt.show()\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can generate the tidal property from it also,like tidal deformability" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Mass Radius and tidal will be generated as the 3-d array. The first column is Radius, second one is mass,last is tidal\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# try solve tidal property\n", "MRT = main.OutputMRT(\"Test_EOS.csv\").T\n", "# Plot the Radius and Tidal curve\n", "\n", "fig, ax = plt.subplots(1,1, figsize=(9,6))\n", " \n", "ax.plot(MRT[0], MRT[2],lw=2)\n", "ax.set_ylabel(r'$\\Lambda$', fontsize=16)\n", "ax.set_xlabel('R [km]', fontsize=16)\n", "ax.set_xlim(8., 20.)\n", "ax.set_ylim(0,1000)\n", "ax.legend()\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Plot out Tidal with mass" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the Mass and Tidal curve\n", "fig, ax = plt.subplots(1,1, figsize=(9,6))\n", "ax.plot(MRT[1], MRT[2],lw=2)\n", "ax.set_ylabel(r'$\\Lambda$', fontsize=16)\n", "ax.set_xlabel(r'M [$M_{\\odot}$]', fontsize=16)\n", "ax.set_xlim(0., 3.)\n", "ax.set_ylim(0,1000)\n", "ax.legend()\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Can generate the speed of sound from the given equation of state. This do not need to solve TOV equation, the speed of sound is defined by the derivative of P(rho) curve, this quantity is very of interest, since whether there is a upper limit of this speed of sound (except for the casaulity limit c_s < 1 ) is a very interesting and hot topic" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "from TOVsolver.constant import c,G \n", "# here we plotting out speed of sound with Test_EOS, the density is in g/cm3\n", "C_s,rho = main.OutputC_s(\"Test_EOS.csv\")\n", "\n", "fig, ax = plt.subplots(1,1, figsize=(9,6))\n", "ax.plot(rho, C_s,lw=2)\n", "ax.set_xlabel(r'$\\epsilon$', fontsize=16)\n", "ax.set_ylabel(r'C_s', fontsize=16)\n", "plt.xscale(\"log\")\n", "ax.legend()\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This package can easily integrated into a Baysian inference flow, to do bayesian inference, Here, we generated several (50) EoSs from RMF model, and try to use a loop to compute out all of their MRT property. That could be a in-between step of doing bayesian inference of neutron star EoS. Remember these EoS could also be polytrope, or anything that generate from your own EoS computation code. Next step for us will be integrate our EoS computation into this package and also the Bayesian analysis." ] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "e4481115b400f107b26d360e6549f546bb0e8bc1af70e4e66085bfa77a017a39" } } }, "nbformat": 4, "nbformat_minor": 2 }