{
"cells": [
{
"cell_type": "markdown",
"id": "8ef12ff3",
"metadata": {},
"source": [
"# Sampling methods\n",
"\n",
"### Estimation of failure probability due to wave run-up (Hunt's equation)\n",
"\n",
"In this example, we will demonstrate the application of the sampling-based reliability methods (`crude_monte_carlo`, `directional_sampling`, `importance_sampling`, `adaptive_importance_sampling`, `subset_simulation` and `latin_hypercube`) to estimate the probability of failure of a levee due to wave run-up. The failure mechanism is characterized by the Hunt's equation, which is a simple model to estimate the wave run-up.\n",
"\n",
"### Define model\n",
"\n",
"First, we import the necessary classes:"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "4989b056",
"metadata": {},
"outputs": [],
"source": [
"from probabilistic_library import ReliabilityProject, DistributionType, ReliabilityMethod, SampleMethod"
]
},
{
"cell_type": "markdown",
"id": "fce15965",
"metadata": {},
"source": [
"We consider the following limit state function:\n",
"\n",
"$Z = h_{crest} - (h + R_u)$\n",
"\n",
"where:
\n",
"\n",
"$h_{crest}$ is the crest height of the flood defence (m)
\n",
"$h$ is the water level on the flood defence (m)
\n",
"$R_u$ represents the wave run-up (m)\n",
"\n",
"The wave run-up $R_u$ is derived using the Hunt's equation:\n",
"\n",
"$R_u = \\xi \\cdot H_s$\n",
"\n",
"with:\n",
"\n",
"$\\xi = \\frac{\\tan (\\alpha)}{\\sqrt{2\\cdot \\pi \\cdot H_s/L_0}} $\n",
"\n",
"$L_0 = g \\cdot T_p^2$\n",
"\n",
"where:\n",
"\n",
"$H_s$ is the significant wave height (m)
\n",
"$T_p$ is the peak wave period (s)
\n",
"$g$ is the gravitational acceleration ($9.81 m/s ^2$)
\n",
"$\\tan (\\alpha)$ is the slope of the flood defence (-)\n",
"\n",
"The parameters $h$, $H_s$ and $T_p$ represent the imposed load, while $h_{crest}$ and $\\tan (\\alpha)$ stand for the strength of the levee."
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "8f01ff35",
"metadata": {},
"outputs": [],
"source": [
"from utils.models import hunt"
]
},
{
"cell_type": "markdown",
"id": "54341fc6",
"metadata": {},
"source": [
"To perform a reliability analysis, we create a reliability project and specify the limit state function (model):"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "784295d2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model hunt:\n",
"Input parameters:\n",
" t_p\n",
" tan_alpha\n",
" h_s\n",
" h_crest\n",
" h\n",
"Output parameters:\n",
" Z\n"
]
}
],
"source": [
"project = ReliabilityProject()\n",
"project.model = hunt\n",
"\n",
"project.model.print()"
]
},
{
"cell_type": "markdown",
"id": "704602bf",
"metadata": {},
"source": [
"We assume the following distributions for the parameters present in the limit state function:"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "7a390139",
"metadata": {},
"outputs": [],
"source": [
"project.variables[\"t_p\"].distribution = DistributionType.log_normal\n",
"project.variables[\"t_p\"].mean = 3\n",
"project.variables[\"t_p\"].deviation = 1\n",
"\n",
"project.variables[\"tan_alpha\"].distribution = DistributionType.deterministic\n",
"project.variables[\"tan_alpha\"].mean = 0.333333\n",
"\n",
"project.variables[\"h_s\"].distribution = DistributionType.log_normal\n",
"project.variables[\"h_s\"].mean = 3\n",
"project.variables[\"h_s\"].deviation = 1\n",
"\n",
"project.variables[\"h_crest\"].distribution = DistributionType.log_normal\n",
"project.variables[\"h_crest\"].mean = 10\n",
"project.variables[\"h_crest\"].deviation = 0.05\n",
"\n",
"project.variables[\"h\"].distribution = DistributionType.exponential\n",
"project.variables[\"h\"].shift = 0.5\n",
"project.variables[\"h\"].scale = 1"
]
},
{
"cell_type": "markdown",
"id": "f6049122",
"metadata": {},
"source": [
"### Perform reliability calculations with Crude Monte Carlo\n",
"\n",
"We start with the reliability method `crude_monte_carlo`. The reliability analysis is executed using `project.run()`, and the results are accessed from `project.design_point`."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "532a111a",
"metadata": {
"tags": [
"gallery",
"reliability"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability:\n",
" Reliability index = 3.062\n",
" Probability of failure = 0.0011\n",
" Convergence = 0.1348 (not converged)\n",
" Model runs = 50001\n",
"Alpha values:\n",
" t_p: alpha = -0.299, x = 3.831\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1287, x = 3.234\n",
" h_crest: alpha = -0.04707, x = 10.01\n",
" h: alpha = -0.9444, x = 6.757\n",
"\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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vKIBX506I+t+zsETxyZM4MWUK/AYOQtuff0LozTcj6dlnkfvvf2i2e+bScotUsCUVqAHe7ugcE4CvbhtoKGg4lVmgAjSNVLo++/MuJGUVqp5x7SL88NY1vXFJL33wJ6YMi0dBcSmm/bhTFUsMaBOCObcOdJwec3l5QFaWPgVZXo5Cd094t4i291kRERE1O/5Dh6qLOGXB8ZnffQfP2JaIevIJddurXTsUbNmM9Dlz4D/kfDTLYG7mlb1qfXz+XYNNbj96USd1qY0Ef1NHd1IXh/TZZ8BDDxluyi6/9f/3DgY9+4BdT4uIiKipyMnJQXZ2tsl2Krmcrfxt2+A72DQ28TvvfCRPnw57crg9c02emxvg7g54eqLMRf/27/z1b3ufFRERUZPRtWtXBAUFGS7StaIhlKWkwj2sspetcA8PQ3luLsoL9e3R7IHBXGO77z6gpESa22HWoIn2PhsiIqImJyEhwaRLhXStaMrs3meOAFejfYFERER0dgICAlR3iobmFhGO0rRUk/tKU9Pg6u8PV299ezR7YGbOjg6ExWFZh3NwLCbe3qdCREREdfDt3Rv5a9eZ3Je3Zg18eveGPTGYs6Oful+AyROfwZ+Dx9n7VIiIiJqd8rw8FO7Zoy5a6xG5XpKYqG6feeNNJD6hr1wVwddeq45Jfu01FB0+jPRvvkH20qUInTQJ9sRlVgfg5+UgbVOIiIiakYJdu3HcKBA7M+NV9TFowgS0mDEdpSkpKElMMjzuGRuLVh9/jOQZM5Dx1Vy4R0cj5sUX7dqWRDCYcwC+nvw2EBERNTa/QQPRZa8+K2eOBHTmnhP/049wJFxmtaNHVs3F/tcm4M5fP7D3qRAREZGTYjBnR266MniWl+Ls2xgSERFRc8Vgzk7KynWG6x5u/DYQERFR/TCKsJP84lLDdXd39pkjIiKi+mEwZyd5RWWG625sGkxERET1xGDOTvKMMnNERERE9cVgzk7yjTJzRERERPXFBmd2kltUiqPBLfBv697IadnG3qdDRERETorBnB0LIBb0Gq0ut5/fFmPtfUJERETklLjMaid5xVxmJSIiorPHYM5O8opYAEFERERnj8GcHYO5B1Z/ix1vX4ML5rxl79MhIiIiJ8Vgzo595rxKixFYlAe34iJ7nw4RERE5KQZzDjABgoiIiKi+GMzZCZsGExERUUNgMOcA47yIiIiI6ovBnJ2wmpWIiIgaAoM5O8lnnzkiIiJqAAzm7DjOKzEwAptbdEZWVEt7nw4RERE5KY7zsmM167w+Y9VFxnldZO8TIiIiIqfEzJydsACCiIiIGgKDOTthaxIiIiJqCAzm7CS/qAx3r/se6z64GUO/+cDep0NEREROisGcHRSXlqO4rBz+RfmIzk2HV16OvU+JiIiInBSDOTvgKC8iIiJqKAzm7CCPPeaIiIiogTCYswNOfyAiIqKGwmDODhjMERERUUNhMGcH7DFHREREDYXBnB17zJ3xD0VCZFvkhkXa+5SIiIjISXGclx2rWef0u0RdZJzXKHufFBERETklZubsIJfLrERERNRAGMzZQT4LIIiIiKiBMJizY5+5Ozb8iL8/mYzzFnxi71MiIiIiJ8Vgzo6tSUIKchCfkQjfrHR7nxIRERE5KQZzdsBxXkRERNRQGMzZsc+cm6uLvU+FiIiInByDOTtm5jzcGMwRERHR2WEwZwf5FQUQHm58+4mIiOjsMJqwYzDnzmCOiIiIzhKjCTsoqAjmCgOCcSQkBgWBIfY+JSIiInJSHOdlB/kl+j1zf1x8A/6v0xg1zmuEvU+KiIiInBIzc3bMzPl6utn7VIiIiMjJMZiz4545X08mRomIiOjsMJhrZDqdDgUl+mBu1F8LsPiL+zH4x9n2Pi0iIiJyUgzmGllhSTl0Ov31sOw0dD1zBAFpyfY+LSIiInJSDObsOMrLvZ5Ng3edysLctUdRXl4RFRIREVGzZddNW3PXHcO8dcdwMqNA3e4Q5Y8HRnbAiE6RZo//dsNx/LjlJPadzlG3e8QG4bGLOqN3q2DDMY8s2I6FW06aPG9oxwh8ddtAONJ+OS93V7i41C+Ye/rnXdh+IhNdWwSiX+vQBj5DIiIiciZ2DeZiAr3xxMWd0SbcT+0lkyBs8lebsOiBIegYFVDt+HWH03Bprxboe2kIvNzd8PHKQ7jp8/VY/vAwRAd5G44b1jECr13V03Dby81xqka1/XJnU8mamFlgMuOViIiImi+7BnOjukaZ3JYs29frjmPr8Qyzwdw71/Yxuf3qFT2xdNdprD6Yiiv6xRru93R3RWRAZXDXlCpZZWk1Pa+4gc+KiIiInJXD9MYoK9dh0c4k1YOtb1yIxVmukrJyBPt6VMvg9XtxOYJ8PDC4XRgeHd0JIX6ecKQ9cz71zMxlFZSo94qIiIjIIYK5vaezMfHDNSgqLVdLj7Nu6ocOZrJy5sxYsgdRgd44r3244b5hnSJwcfdotAr1wbG0fLz2xz7c8sUG/HjPeXBzNb9HraioSF00OTn6PXm2bhhc7OOHZP9QFPn4W/z8tLzK8yQiIiKyezAXH+6PxQ8MQU5hKRbvSsIj32/H/Mnn1BnQffjPQfy2PQnfTT4H3h6VWS7ZU6fpHB2ILtGBGPraCpWtMw76jE2fPh0vvPACGnOZ1cfDDeuumYxJUSPVOK+hFj4/LZdLrERERORArUlkf5sUQEhlqhRDdIkJwOzVR2t9zierDuGjfw5h7u0D0SUmsNZj48J8EerniaNpeTUeM23aNGRlZRkuCQkJcNRRXmncL0dERESOlJmrqrwcKC4tr/FxqWD94O+DmHP7QPSMrWxJUpOkrAJk5BfXWhDh5eWlLprs7GzYes9cfQsg0nK5zEpEREQOEsy9unQvhneMQItgH+QVl+KXbYlYdyTN0BNu6vxtiArSty8Rko17a/l+vHNtb8SG+OBMTqG638/THX5e7sgrKsU7fx1Qe+Yi/L1wPD0f05fsQZswPwztaH6JtbHlV7QmkQKI3ou+ww8/LUBa+mXA+OkWPZ+ZOSIiInKYYE6yTFMXbEdKThECvN3ROSZABXJDOkSox09lFpg01v163TEUl5Xj7nlbTF7nwZEd8PCFHVWBw56kbCzcfBLZhSUqGydB3NQLO6m+dI7AeJk1MCUJ/U/twfrkfhY/n3vmiIiIyGGCuZlX9qr18fl3DTa5vfrJC2o9Xgoh5t4+CI7MUABR7z1zXGYlIiIiByqAaG4MTYM96hdHpzIzR0REREYYzDWyAkMBRP0yc5z+QERERMYYzDnbMiurWYmIiMgIg7lGJiPI6puZKy0rR0Z+iQ3OioiIiJwVgzl77ZnzdEOphyeyvfxQ6llzDzxjDOSIiIjI4ZsGN59lVnesueFe3NTyYjXO6zwLnstKViIiIqqKmTknKoBgjzkiIiKqisGcnfbM+XjUI5hjJSsRERFVwWDOjtWsPZb9iK/mP4t+i7+z6LmsZCUiImp46fPm4eAFI7G3Zy8cufoaFOzYUfvxc+bg0MVjsLdXbxwYPgLJ06ejvMh+v6MZzNlxnFdw4nEMPboVYaeO2HyZVafTqTm13286Ue/XICIiamqyFy/GmRmvIvzee9H2x4Xw7tQJx++4E6VpaWaPz/rtd5x54011fPyiRYh56SVkL16ClDffgr0wmGtExaXlKC3X1XsCxNkUQOxJysGslYfx6tJ99X4NIiKipibtyzkIvuoqBF8xEV7t2yP6hefh6u2NzIU/mj2+YOtW+PTti6BLxsMztiX8zz8PgePGoWDnTtgLgzk7ZOXq2zT4bDJzJzLy1cfS8vJ6vwYREVFToisuRuHu3fA7t3IWvIurK/wGD0bBtm1mn+PTp496jrYUW3ziBHJXrYL/0KGwF7YmaUT5JfpKVndXF3i6uzZqAcSpjIJ6P5eIiMiZ5OTkIDs723Dby8tLXaoqzcgEysrgFhZmcr9beBiKjpjfAiUZubKMDBy94UbZwwSUliL42msQPuUu2Aszc81klNepTAZzRETUPHTt2hVBQUGGy/Tp0xvstfPWb0DqJ58g+n/Pou3ChWj53rvIXbkKKR9+CHthZs5OxQ/1oWXmvNxdUVRq3XIpM3NERNRcJCQkoGXLlobb5rJywj0kGHBzQ1mVYoey1DS4h4ebfU7Ku+8i6NJLEXLVVeq2d6eO0BUUIOl/zyF8yhS1TNvYmJmzyyivihja1QUlrm7QudT9bSgqLUNOoX6ZNtzf/A9lbU5m6vfMERERNXUBAQEIDAw0XGoK5lw8PeHdrRvy1q4z3KcrL0feunXw6d3b7HMkcHNxdTG907UiSSPLrnbAzFwjyq+Y/qA1DP735gdxfdx4Nc7rnDqem16RlZP9dgHe1n/bmJkjIiKqLuyWSUh8chq8u3eHT88eSJ/zFcoLChA88XL1eOITT8A9MgqRj0xVt/1HjED6l1/Cq0sX+PTqheJjx1S2zn/EcLi41W/l7WwxmHOSZVatkjXEzxOuLlX+IrAgiMzIL7H6cxIRETV1gWPHojQ9AynvvYuylFQVpMV9+olhmbUkMUlKXA3Hh989BXBxQco776I0ORluoaEIGDEcEQ89ZLevgcGckxRAaJm5MD9Pq5/LrBwREVHNQm+8QV3MaT33K5PbLu7uiLjvXnVxFAzmGlF+iWlmruvfv+KTn39CUf5YYHzXWp+bkV+RmfP1RFaBdVm2k6xkJSIiarJYANGICir2zGkFEGHHD2P0gXWIPLa/zudmVGTmQpmZIyIiIiMM5hqRjPJyc3WptsxqSfFLesWetxA/D6s/L3vMERERNV1cZm1E9wxvj7uHtUPFeFZYU8ZgyMz5MjNHRERElRjMNTIXFxe4WVeMqqRre+bqs8zKzBwREVGTxWVWJ8E9c0RERGQOgzknobUmkWpWaxSXliM5p9BGZ0VERET2xmDOSWitSazNzJ3OKrTXdBEiIiJqBNwzZ0f/3XQfbm51MW4+L77WcV46nQ4ZeVo1q2e9ZrLKGDmt8IKIiIiaDmbm7Ejn5o4SNw/1sTZ5xWUoLiuvVzWrtl8uOtD7LM6UiIiIHBWDOScqfvD2cLV6FJhWydoi2Mcm50ZERET2xWDOjjqtWoK3f3sNPVb8alHxQ316zCVl6osfGMwRERE1TdwzZ0eRh/dhcMJKrGvXyrK5rPVoS5KYpc/MxQRzmZWIiKgpYmbOCRiCufpk5rIqMnNBzMwRERE1RQzmnEB6PStZpQo2iXvmiIiImjQGc06gci6rh1XPyy4oVZWwIiaIy6xERERNEYM5J1DfuazafrkQXw94e1hXBUtERETOgcFcE57LmqQVP3C/HBERUZPFYK4Jz2VNNLQl4RIrERFRU8XWJHa09ropuCt6BK49v32t47zqO5eVmTkiIqKmj5k5Oyr18ka2tz9KvXwsq2a1MjOnNQxmjzkiIqKmi8Gcg5P2Ipn1zMxpBRDsMUdERNTMl1lzCvWZIWsEeFvXRqM56rB6OV5ZugheZaOAS7qaPSanqBSl5Tp1PdjK1iRaw2C2JSEiImrmwVzPF5bBxYoXdXFxwYpHhiMuzLf+Z9YMRB/YjcHb/8D6uIg6K1n9PN2sai+iGgZr0x+CfVBUWt4AZ0xEREROWwDx4Q39LMoM6XTArV9uONvzoqqVrFYusablFaO4tBwuLkBUoDeOp+fb6AyJiIjI4YO5lsE+GNQ21OKAIi7UF+5u1uTyqMErWSuKH8L9veDpzq2RREREzTqY+++JC6x60WUPD6vv+VADVbJWFj9wvxwREVFTdlYpG+ljVl6xOZ8cbPpDZv16zG0+loHL3v8Pm46mW/U8IiIicsKmwRe+uQqLHxjCQoeGtGIFkJqq33yo0yFq60lcmpCMIaXhgOsB4KqrrKtktbLH3A+bT2L7ySz8sfs0+rcJha19ve4YFu1Iwsc39kOQldW6REREdJbBnFRMUv2Vu7khxTcY+waOwCDtzqeeAtatMxxzacVFCQqyOJhLrAjmZL+jNY6m5qmPjfWtfebnXerjbzsSceM5rRvnkxIRETUhHOdlR3uGj8OZbQk42stomFefPoCHh/R3UZd9Z3KRlleCtpEBiGkZrg7pengHIhNT4Z7eDkBEgy6zHk3TB3ONQRs3Vp89gURERNQAwdw9I9pzaewspLeKx0uXPIrbjO/88EOTY/43ay3WH0nH+9f3wfieLdR9dy98B+1OHcDOMV2Aczo32DJrQXGZ4XmNYevxTMN1X0/Le+jV16erDmPhlpP46raBiAxkYQgREdle+ldzrX5O0MSJcPP3a5xg7t4R7c/m6WSBrAJ9NWuwj+WZq7JyHU5nVzQMtiIz15hZObHtRGUwZ2vynnz4z0Fk5Jdg64lMXNQtutE+NxERNV/J06fDPToaLq6W1ZyWnD4N/xHDGz6Ye/H3BDwyuiN8PS2L/V5duhd3DY1HMJfOzlpmfkUwZ0UGNCWnSAUv7q4uiAjwsnq/XGPZejyj0T7X9pOZKpAjIiJqbG1/+B7uYWEWHbuvbz+rX9+iMPGL1UfUEpyl5q49huyCUqtPhmpuGhzkUz2Y09XRY04mP7i5Wt68+UgjZuZKysqx42RWo32+f/aeabTPRUREpAm/9164+lre9SPsrrvgJgWPVrAo1SZBw4jX/1EzVy2RX2xZIDd33THMW3cMJzP0wUeHKH88MLIDRnSKNHv8txuO48ctJ7HvdI663SM2CI9d1Bm9WwVXnqtOh7eW78e3G08gu6AE/duE4KUJPdA23PJ0paMoLCkzzFS1JjOnTX+IsbJhcGNm5uR72JjzYlfsS2m0z0VERKSJuO9eWCP8rsmwlkXB3GtX9rL6hcMD6l5ijQn0xhMXd0abcD8VhMnm9MlfbcKiB4agY1RAtePXHU7Dpb1aoO+lIfByd8PHKw/hps/XY/nDwxBdEbh8vPIwvlhzFG9c1QutQn3xxrL9uHm2/hhrBtU70hKrLJf6e1m+vTFRq2S1ui1JfpNcYj2TU4idpxovC0hERFSX1E8+Rci118AtMBBny6II4cp+sbCFUV2jTG5Llu3rdcfVL3pzwdw71/Yxuf3qFT2xdNdprD6Yiiv6xaqAcPbqI7j/gvYYXbHB/c1reqH/S39iWUKyCgSdSWZBsSErZ2lWVGgVqeZGedXWP64xl1mlCKGxrGRWjoiIHEzarFkIHHNx4wVzjUE27C/amaT25vWNC7HoOQUlZWrvlbYEeSK9QG3+P6+9vh+bCPT2UMuwW45lOF8wV5GZq7pf7ocLrkN+UjLGxHcw+7zkikpW2TNnqdyiUvXeNZZtRm1JbO0fBnNERORoGrA7v92Dub2nszHxwzVq/5T0Gpt1Uz90MJOVM2fGkj0qYNGCt5RcfRAT4W9awSm3U3JrDlSKiorURZOTo9+TZ2+ZFcUPVauCV/YbhYSkbFzQwnzGVGtLoi09O9p+Ofm6Dld8vlahPioItxUJ9lcd0AdzPh5u6g8AIiKipsSypic2FB/ur+a7/nzPeWqc0yPfb8eB5LqDKekZ9tv2JBX8ne1euOnTpyMoKMhw6dq1KxyqLYmZStbanM6yPjN3pBGDOa2/nBSl2Hryg2RkcwpLEerniU7Rlv2RQEREZGvxi36HR4sWTSOY83R3VQUQUpkqxRBdYgIwe/XRWp/zyapD+OifQ5h7+0B0ialca47w1wcvVbNwcrtqts7YtGnTkJWVZbgkJCTAEWRWNAyuOmWj/Yl9GHhiF9yzqi9Vlpfr1IZ/R87MaZMf+hhVIdu6inVYxwir2rQQERHZkkdMDFzc3OwTzKXVslwpS6Znq7wcKK6lZYVUsL7310HMuW0gesaaBgOyZCdNctccTDPcl1NYojJBfVvXvA/Py8sLgYGBhktAQICDZeZMs1cPfjcTC755EgE7t1Z7Tnp+MUrKdGq0a6QVDYO14ofGiHe0zFzvONsHc//s0/eXG97J/AxbIiIiW9o36ByUZljeweHAiAtQcuqUbffMXfT2v5h5ZQ9c0DmqWrZM2oDse2mMxa8lkyKGd4xAi2Af5BWX4pdtiVh3JE3NzhRT529DVJC+fYmQbJz0kHvn2t6IDfExZKD8PN3h5+WuKj5vO68t3vv7gMr2SXAn5xQV6IXRVSpnnUFWRTVriBU95rQl1jA/L3i4uVqdmWsZYts9bJI51IK5Pq1C8MPmkzb7XNKiZe/pHBWgDu0Qga/WHrPZ5yIiIjKnPDsbeatWwdXCRFFZZiZ0ktmyZTB3x5C2mPL1FlzVLxbPju+qskdTF2xTTWCrtg6xJMs3dcF2VUUZ4O2OzjEBKpAb0kGfRTmVWWDSkuPrdcdQXFaOu+dtMXmdB0d2wMMXdlTXpwyLR0FxKab9uBPZhSUY0CYEc24d6HQ95kRGnvWjvLRK1uggy7Ny4miavsdcmzA/mwZzkgGUebNe7q7q+90YVax94kIQ4mfbvXkn0vNVYVJcmOVdvomIqHlIfHKaTV/f6mBuyrB2OL99uArgLn57ldrXJa0/ljw0BJEB1k0cmFlHM+L5dw02ub36yQvqfE0J/qaO7qQuzk7rMxdkRZGAoZLViuIHCa7S84oNwdy/B1Jh65YkPVoGWZU5PJsl1hE2XmKVpfxx7/6rJqVsefZCm39dRETkPLrssf0+/Hr91pElTGnqK2O4cgtLMb5nC6sDObJNNWtyxTJrpBXBnLbEKvsNZbnalrae0O8b6GPj/XJFpWWqmbQYXsN4uIaybHcysgtLVdVsY44oIyIiElb/5t50NB0Pzd+mlv6WPjQEm45m4Plfd2PFvjN4ZUKPapWXVH+SMbN2mbU+mbmjFcUPjTG/Vqtk7d3KssbQ9SU/l3nFZSpA7WpU8WwLv25PtOnrExERNWhm7vpP16tM3E/3nIf2kQG4dmAcFj1wvtpsftHbq6x9OapHNWttkrOLrA7mtB5zbcNsG8zJdA8pSGiMzNzK/ZUtSVxtWKIr+z7/q8gAEhEROUVm7qvbB+Kc+DCT+1qH+WHhlHPx/oqDDXluzVphSZlhWkGwn2lm7tehV6Ao8TRGtI6veZRXPXrMyfK5lg20hd2JWWpsm2TLYqw4v/pYVRHMDe1o3X45me9rzRzcxTuT1NdERETkNJk5LZCTAECyHxJ0CPn998BI87NCyXpaUCWNbgOq7GNbPmgsPj7nShS2at0gy6zH0vWVrK1tXIm5/WSW+tgrNsiqgMlaZ7ILVQZQPsUQozm9tY3Dk7Ffl32wGlfPWqsCOktxiZWIiJwuM5eRV4x7v9mCtYfTIL+O/3l0hGrH8PgPO9TerqfHOcYorKayxBrk42Fx4COBtfY8a4K54xVtSeJCfbGjIuCyhZ0n9fvlqjZ7bmirKqpxe7YMsrglycYj6dhe0f9O2t94udfdykZa52w8ankjSCIiouLjx5H5448oOX4CUU8/BfewMOSuWqUmQnh16NA4mbkXf0+Au5sr1jx5gRpcrhnfq4Whrxc1zDD6mipZW50+iu6nD8ItJ9vsEqu3hysCfSyL03OLSpFW0ZbE1pk5LVDsGRvUKEusWr9CSyxLSLb68/xWkZWT1jxERER1yduwAYcvvQyFO3YgZ/lylOfrkymFe/ch5b33UV+u9cl6PHlxZ8QE+ZjcL5vnJVNBtp3LKh77+kX8PuchBG7bZHb6g2TlLM3mHauoZJVB9AHetqtElgbOhyv25pnLzOlUl7aGmTChFSRYul9OllWX7T5t9ef6dZs+mLu0V8MMSiYioqYt5Y03EfHgg4ibPRsuHpW/c/3OGYSC7dsbL5iT6Qo+nm5mG9x6urNZamNk5mqi7ZeLMrPEWlNsJ5MLtCVWW9pVkZWTMWwSONrK7sRs1QDZ38vd4opZeU5iRSBsqYNncpGQlA13VxeM7RFTz7MlIqLmpPDAAQRcOKra/W6hYSizYn5rVVZHXwPahuLHLSdNggTJhsxaeRiDq1S5UgO0JbFi+oOhktWa4gej/XK2tONUIy2xHtAvsQ5uF2bxJIb6LLFqhQ+S/bOmDyARETVfbgEBKD1TfUta4Z4EuEdFNV4BxLQxXXDDZ+vU/qeSMh2mL9mD/cm5KvhYeLfp+C06+2VWqxoGZ1X0mAtyvErWHY1V/KC1JOlQvYq1JtYuscqyrLZfjkusRERkqcCxY3HmjTcQ+/ZbWjYM+Vu24MzM1xB02WVotMxcp+gA/P3ocDXA/sKuUcgvLsPF3aKx+IHzVb85smfDYOszc8aVrLa0/YTtM3NSzLH5WIZV++Xk69caGVtq56ks1WhZCk3k/wFL7E/OwRUfrTGMGCMiouYn8uGH4BXfFgdGXKCKHw6NvwTHbrwJPn16I/zuKfV+3XoN4gz09sB9F7CnnC1lFRQ3yiiv44bMnJ9NpyRoxTHdW9oumFt3KA2l5TqVZTT39ZjbNrgsQZ+V69EySAVp1hQ+jOoSpWbZar0Wa/POnwdUoPnz1lM4z0zvOyIiavpcPD0R8+KLCL/nHhTt368COu8uXeDZps1Zva5FwdyeJNMWGLXpYuM5mM1FRl59llkrgrkgL4uOl0a5WpBly2VWbb9cfISf+kPAmIsN9ssNsWKJ9c89+v1ykmGzJJiT/aGLdiZZtcQqxSzLK/bl2XJWxIHkHMxefRQPj+qASCsCeiIialzSU04uDcWiYG7su/+qX7q6Kr98tV9Mxvcdnj6uwU6uOTO0JjFTzfrH4Euw6FQiBrdqY7KP60yOdcusMk9XRlF5ubsiwt+yALA+dmr95WyYlRP/VjQLHmphf7ms/BJD09+RXSLx5vL9dT5n64lMJGUVqmpZc0u55qZH/LYjSTUitrXHftiBbScyER/uhzuHVh/1RkRE9nXy/gfg3bMHwu+80+T+tM8+Q8HOXYh9523bBXP/Pj7CpI3DK4v3YPLQePSNC1H3bTmegc/+PYInx3Su10lQdVlaaxIz1ayLz5+gvg+921T+wpZ2HFKQIiIDvK2uZLXlMPrGKH6QFiuyj01ahUglqyX+2X9GBbMdIv0t3jO4aEeSIZPnbdQ0uzY/bK6s/rYV+X9QAjnRGIEjERFZL3/TJoTfd1+1+/2GDEXaF1+iviwK5mJDKn/R3TtvC56/pBtGdI40WVptEeSDN5bvw0Xdout9MmSmmtXCPnPafrlwf0+L+/01RiWrZKoMM1lb2S4zJ3OChfyBYWnz47/2nFEfR3axrIhBllgXVyyxWtpb7uCZHMOYMFv6YvVRm38OIiI6O7JHzrhZsMbFwx3lubmNV80qlX+tQk2nPwi570By/U+ETPeySZVwTcusUWmJaJd6Aq55uWdVyVrZMNh2xQ/J2UVIySmCm6sLusbYLpj718r9cvIe/7NPH8yN6lL5h0lttp7IUEFzgJe7xZ/nh82nYGtJWQVYUhFkEhGR4/Lq2BHZSxZXuz970WJ4tWvXeNWs7SP98eGKQ5hxRU9DBqi4tFzdJ4/R2cuuyMqJAO/q36KnZj+L9icPYMfg74A+bU16zFnXMDjP5pm57RVLrLKUaW5ySEMoLSvHmoNpVrUkkcrS7MJSNY2iT1wI8otL63zO71YuscoS7k9bTxrmt2rLoA1t7tpjqoqXiIgcW/jdd+PkAw+g5PgJ+J5zjrovf91aZC1arO8911jB3MuX98AdczZi8PS/0DkmQN23NylH9b77bNKAep8IVcqqCOZkk727hVMMKosfvBxq+oOh+MGG/eUkYMwpKlWVv5a2Pvmroop1eKcIlTW0xRKr9JSTzKSc1wWdI20SzElblG83HFfXIwK8VBaUiIgcU8AFIxD7/ntIm/UJspctg6uXF7w6dULc7M/hN3Bg4wVzkmFY9fgI/Lw1EYdS9Mt843u2wGW9W8DXs15t66gKyRjVtMRakzMVv8QtrUqVvWxaj7m4RsjM2bL4YXVFVu7cdmEWBWYm++U6R1lcYCCBmVpi7WjZEutPW/VLrJf0bGGzucXSty4jv0TNvD0nPsyiYgtZYrZ01BkRETWsgOHD1aUh1Sv6kqDt+kFxDXoiVD0zZ26JtSZaRibCwmXWtLxitS9PMqoSCNiCBIxa77ZeFgZzsmQv0xK6tQiEi5ycBbSpCue2syzIkqrXw6l58HBzwVAzgZmZ7iKVS6zdouDlbrrEau4084pKsXSXviHx5X1bYsORdNji/Z29+oi6fsu5bSzas7r5WDpu/nwDpgxrh/tHsvE3EZFInzcP6Z/PRmlqKrw6d0b0M0/Dp2dP1KQsOxspb7+N7OXLUZ6ZBY8WLRD11DT4DxsGS+iKi1Ganq7GeRmT12m0YE5+Ga49lKY6+1fdqvPgKP6CaKg9c/XJzEUGeFm1xCpVyFWDk4ZyIr1AjSXzdHNVY+As8c5f+/HBikN48+pemNg3ts7jC4rLsPW4Pvtn6WQFbYl1UNswiypfZYl1yS59MDfOwiVWmSxRUFKGNmG+6NMq2CbB3JpDaWousq+nG67q3wqvLNpT53Okl15ecRk2Vow9IyJq7rIXL8aZGa8i+vnn4dOrJ9LnfIXjd9yJdksWwz0szGwgdvy22+EWForYd96Be2QUShJPwS2w7qEJxUePIvHpZ1CwdWuVF9WpzECXhN2NE8zJ/pxnft6FEF9PtUfHpUqGgsFcw2XmAq0I5lIqqlktDeaOp+fZfL/crkR9Vk4COUuXGf/Zp69Klca8lth4NF31VWsR5K0CJ0uXTLVGwZbYrC2xervjfAurWH/aqh/5NaFPS4szjNb6oiIrd2W/WIsCf9m/qC1JExGRXtqXcxB81VUIvmKiuh39wvPIXbkSmQt/RPhk0+a+IvPHH1GWlYU2335jaDPiGdsSlkic9hRc3NzQ6uOP4B4RYX5ppzGCuff/PohHR3fC3cPrX0JLtcsutC4zJ8ttKbkVmTkLl1nrKn5oiNrIXRVLrJYWJcjSpDWj48TqQxVLrO3DLQ6atGyyzFa1tlGwJVnMM9mF+K+iVcrlfSz7H9xaR1Pz8Nde/b6/SedaNtPv41WHbHIuRESOJicnB9nZlb9PvKTQwMvLbJatcPduk6DNxdUVfoMHo2DbNvOv/fff8OndG6f/70V13T00BIHjxiPszjtUoFabwr170XbhD/CKb9gpPa71yRpZutREZ5mZq2EJcEX/0fh0wAQUtmilbssGeG36g6UFEI1R/LArUf8/kux/s4RUe1rbYUPbL3dee8umPmg6RvmjlQVZSeMq1vE9Lfu5/3V7ovo6+sYFo3WYX5378SR4v+yD1Xjqp52Wnj6+XHNUvdaIThFoF+FvURsa9qIjouaia9euCAoKMlymT59u9rjSjEygrAxuVZZT3cLD1P45c0pOnETOH39AV16GVrNmqXYj6V98gdSPPq7zvKSXXFlGw29zsTozN7ZHtBpofmNY6wY/GdLLLqi9mvXnEdeocV5z2nUwaUsS4uth8XLm8YrMnK16zEm2cLeVmTnp/WYNGWAv74M4z8LiB42lUx82HctQ+xHVEmt7y3rY/bztlFVZuTeX7VdTIuTyyuU96jxegr/vN51Q1289T99nsC6f/ntYBZhS9KEF/kRETVVCQgJatqz8N9hcVq7eystV8Bfzf/+nMnE+3buhJPkM0mZ/joj77q31qZGPPoIzr72OiIcfhlfHDtWmQbj5+zdOMCeZBtlELZvOO0cHwN3NdGnL0l8uVPcya6CPu3WVrBbulzMe5WWrPXOyx0wqZqVViPyc2CKYkyIcyU5JQ2JLl5c1lk59WLRDv/dtdNdoiwLlA2dysetUtpoRKy17LAl6v6noE2ephZtPqiIGadJtySSK1NwifL9J37JkYp9YzK8IBImImqqAgAAEWlCQ4B4SDLi5oSzNdD9xWWoa3MPN//uq9rp5uJssqXq1i0dZSqpatnXxrD5TXXP81tsqPt5q/wIIqZ5bfyRNXYzJliUGc7avZg3JSkWL7Ey4Fhao22eytUpWb4sbzWoBoK2COW2/XPsIf4umJUh1tlaYYO1+OUurWDUy9aF3qxALzkmHxRXtRSxdYpW+b2J4p0iE+NX8P7Rmx8ks1Y7FUhL8zV13TF2fNLi1RfsEZUJEUWk5esUGYWDbUAZzREQVJPDy7tYNeWvXIWDUKHWfrrwceevWIeSGG8w+x6dvX2T//rs6TvbXaVWqEuTVFsiJuDlf2uCrqEcw998TF9jkRKh6MFfTnrnnP3kS7U/ux46+3wE946xuS3Iyo8AwYcKa9ifW0JY/u7W0bL/cwZRc5FQ0S7bUGqNmwdYwN/XBXFAkwWVKxRKrpQHjb9v1mbyJfS1bYv1uY2VgZcn3QqpRD6fkqe/d5Ra0bpHAXQv+7hwab1XgSETUHITdMgmJT06Dd/fu8OnZQ7UmKS8oQPDEy9XjiU88odqPRD4yVd0Oue5aZMybh+SXX0HIjTeg+NgxpM76BKE33Vjn5zqbKQ+14cgGBy6ACPK1LNDS9sxFWDjK62SGfolVmgXbqm2G1pakWwvb7JdLzCxQjX8lJhsUb1kwF+yr/4tpTHfLsmxa09+RnSMt3osoxSgyJULGd9VF5sFqwZ+lvlp71BAsSkBXlx+3nEJ6XjFaBvvg4m7RqjiDiIgqBY4di9L0DKS8965aKvXq0gVxn35iWGYtSUySElfD8R4xMWj12adInjEDmZdNgHtUFEJvuklVs1oif9MmZMxfgJITJ9DynbfhERWFrF9+gUdsLHz79YPNgrkXf0/AI6M7qskPcr02z47vWq8ToerjvGrKzFVVmZmzbJn1REVmLjbEdpWshuIHCytZt1gZzGlVrD1igy3OLr5yeXdcO6CVRf3lZDnzjwR9MHdx92irzk1mt1qytLx452nkFlmejTyVWYA/Kxoe33RO9QKkqnG5LBN/9t9hdf2289taNOf3RHq+Ondr9l8SETm70BtvUBdzWs/9qtp9vn36oO38+VZ/nuw/lqlMX9Al41GYkKD22ImynFxkzZqFuE8+sV0wtzsxy1ABJ9dr4mLSQpjqQ4IIQ2bOwiAlxbBnzrrMXKvQ6mO8GiJRJ5mgxIqmv10tDOakWEL7GrTgtK7pB+J8K1qSSJHEqK6WBbwJSdlqgoW3hyuGdrSsilUj47uqMve2LqjYuyZVr9oc19p8s/6YqkgdHB+GDlF1F5X8vfeMWpKVZeJrBujb2Bj/nFV18EwuRr25EvHhfvj70YadG0hEREDqxx8j+vnnEDxhArIXLTbc79u3j3qsviwK5r6bPNjsdWp4Mi+1rKLZWl3VrN3uuwX4dR5ShurX8VU2Rea6aT1stF/YOh2kPeH8qI6YfPsbhj1ztsrMaQG/TGSwZFyWsb5xIVi6W58Rq4kEIob+cla2JLHUHxVLrMM6RqiMtKVkOXNgm1CLmv7KiC8Jnq/oG1tnMFdUWobvNuiDv5sHt7a4HYm4fmCcRUuy0xfrx4HJ8jURETW84iNH4Nt/QLX7XQMCUG7U5NjmTYPJtrSsnPQD86lhqe5QrL6/nFtRIVBQoCYOGDJzBQVAYaH+UlSkv0ipdHEx3Mv0S3on0yv3zNm2+MGy/XIaaTFiSTbyUEquyt55ubuib+u6q1LrQwsorV1ivax3C7hWKa4w54fN+lYhQztEIDqo7mzhkp2nVfYyOtBbTaKwZHTX+iPpqkXKLefVPSHidFahYaIEERHZhuzDKzmuL0ozlr95Mzxatar/657leZGtesx5e9RYnPDutY/jxV6X440re6BHu2jkzdJPDlC91mT8SEW/GqXi49H0fNz1+SZ1XcvMtQqxbVsSSyc/aPq1DjE7IaEqbb5o/zYhFu1Ns9aR1Dw1wF4CoQs61R04ubq4wNPNVc2IlVmsdZHMqxbMXd2/lVWFD9cPirNo75uWlbukVwvEBNUdtH9Wcbz2hwQRETU8mQF7+pVX0OLll9Xv59IzZ9TYsDMzX1OTJOqLwZyDycq3YL+ciwtOBkejMK4tkgP0AZn0/lNLaa3NL8GV+eQi1e8QPEvKDO0pYs3smWvIzFx3CytZNZJl23y07kKINdo8VlstsVZk5Qa3C7OootjDzRWvXtkDJaU6dLRgL9u/B1JwOrsQwb4eGNU1Uu3Nqys43nI8UwVZ1w5sZVGhxKKK0V13DKm772NGXrHVjYuJiMh6YTIDVleOY7feBl1BAY7deJPqTRd6260WtTapCYM5B61kDbCw+MFkibUWbqdO4vMfXkCepw8euPRxFSxaWi1rjZzCEpXZqm9mrq5gTio0ZflQC7ZsQWtJYs0S6+V96u75ptGmMUzo3RJe7m51Fp1oWbmLu8dYVLH805ZTKvsn/fcsaQ0jc15lr2a4vydSc/WFKERE1PBkxS18yhSE3XYbio8fR3l+vprX6upnOsfb5nvmpDcW2Y61layWtiVxzc/DyEMbMeTIVpvul9uTlKM+xgR5I8zf8vYWkqWSKsq67EvOQWZ+icpE9rByT56l9p7OUQGWJXvTrJWRX4xlFS1PLFlilfmzv2xLtKrwoaCkTH28c4iUvZiqGjjmFZWqYE5MGdbOotcnIqKzI9k4r/bt4dOz51kHcvXKzPV/6U+M6xGDqwe0wgALqvaovtMfrJzLamHDYI2tgrnK/XLWBVr94kIsamC8/rC2Xy5ULW/aSv/WIRb37bOGLLFKmx/JWlrStkWyeDKKS+bbyjlZSua2SiWuJeP55A+ItuF+GNMjBi8t0le0EhFRwztx3301/K5zgYuXFzzj4hA4fjy84q0bjWr1b8O3rumNzIISXP/pOox4/R98+M9BJFcs9VEDFkBYmZmLsCILZsviB8N+OQvHeGksrUpdd1i/xDqorW3/kLiom3VVrJbS+jVakpWTJeWv1+urnm4e3MaqaR13DmlbZ1WttDvRCiXuGhoPNxtNAyEiIj03/wDkrVuPwt0ygEH+zXVBYcIe5K1fD11ZKbKXLMGRCROQv2ULbJqZk19ycknLLVK9saQq781l+1Vj1av7x2JUlyiLqu2ooZZZK/bMOUhmTusxZ2lmrl2EP3aeyrJo/JV+v5w+M3eOhSO8HC2YE1L5Ki1M6rLqQAqOpeWrpr8T+tR9vEb2vl3Wu6VFe+uSs4sQFeilGh1n5Ol/9moi/6+//ed+fDapPzpHWxesExER4B4RjsDx4xD97LNwcdXHSrrycjXnVZZbW775Jk4/9zzOvP4G2nwzz+LXrXfUJfuh7hgSj6UPDcUz47rgv4OpuHveFgx65S+8uWwfCor1+3bIOtkF1o3y0pZZrV0StEXDYBnqfuBMrlXFDzOv7In1T41Cl5i6j99/JkfNPpX+ez1jbbNfTjv3VqG2G3U2uluUYU5sbb5Zr68wlabCljQulobFQv6/rKtlS7lOh1mrDhv21kkhhsZcexj5I+PR77ertjZaAQcREVkn84eFCL35ZkMgJ+R6yI03IHPBArUCE3LDDSg6cKBxqlkliFi45aT6a/1URgHGdo9W++ik+ejHKw9h64lMzL19UH1fvlnRQVf/zJyVo7w0tghWDiTnqirKEF8PVQBhCcniWjoHdN2hyv5yttwvJwPpbcmSJVbZuqA18b1hUJxFr3vn0Hic3yEcvVsF13nsxqMZqkWNFJ5cN7Du1/9ytb5IQkgmj4iIrKcrK1NTILzamu6Jk/skQydcvTytnq1pdTC3dFeS+stcloDaRwaogd/SKNU4+JAWEzLjkWpn7ntVuWfO3emWWfck6ffLSZbNmv1dltL2y9liidV4e5m1Ux+s0SLIG+e1r7s/3vyNJ1RgPKBNiEVzWIVk4/rEWbb3UOs1OGlwG/jVMepL2s18/t9hkybJRERkvaBLL0XS08+g+K7J8OnRQ91XsHMn0mZ9gqDLLlO38zZuVJWuNg3mHvt+B8b3aoEfppyLXjVkAKICvXHvCOtOhEyrWS3JzJWUlqtlR0uWWUvad0Sbx39T10P9POv8BV4fMpxe2GI/leyX23DUdsGcLGNKaw6JU6QStKFJg2PZy/bwhR3hVkdhggRx31U08ZWJD7Yi7V1uObdy1FdNMdpXa48Z+h8SEVH9RU17Eu7hYUj7/HOUpepXm9zCwxA6aRLC7rxD3fY/7zz4Dxli1eta/Rt9w9Oj4OPpVmeG4KFRHa19aTJpTVJ3MJeaq19ilckAwXUFf/KbuuK3ta2KH/ae1jJzlmWSrCF78dLzim26X+7JMZ1hKz1ig7DpmQstOnbV/hQkZhWqgH5M9xibndP1A+MQ4lf73r3colJDxSsREdWfrrQUWb//juArr1SNg8ty9XvM3fxNEwgeLSwveNNYvfGo23NLDUFE1ZFA8dMWWX0CZMqaPXNa8UOYn5dFw901tgjmdDqdoWGwJcUM1lp3uHH2y9lD1e/cPKPCB1vMntX+AJBCibp8ve6YatIsDZ3H97RdYElE1NS5uLvj9PMvQFdUZAjiqgZy9WX1b8Wa5qDLkPGm9ku2sZWWlSOvogrYkj5zWlAdHlB3ZaRbUiLe/3kGXlv0tk16zCVlFapAVIbTd4jyt1kwZ+uWJPaWlFWAv/cmq+vXD6q7UMJafeNCVNHDfSM6ILqOIhWZ9vJpRcWrbJuoa3mYiIhqJ/vkCvc0fHN2i5dZv1h9RH10qdicLfttjPf4bDiSrnqGUf0Z70uyZAJEap5+jma4BQ2DXXNzMH7ff8j09kehDYsf5GfAuM1FQzCex3pOfNOeOiL/b5XrgIFtQlWBUUNrHeaHrc9eaFGBirRGScsrRlyor+qLJ0VPRERUfyHXX4fkV2ei5HQyvLt1hauvaXLFu1Mn2wZzn/93xJCZm7fumMmynjRBbRnig5cv716vkyDT/XJ+nm4WNV5OrVhmtSSYs3WPucpKVtvul+vRsu62G85K/iiSYM7WhQ+WBHLSM/Djlfqs3H0j2qufR+bliIjOzqmpj6iPyS+/XHmn/JssDT5dXNAlYbdtg7n/nrhAfbz2k7WYdWN/BPla1geNLKe1JbG0x5xhmdXaUV6htsjM6ffLdbbBfjlt6oPsl/N0b7pL+VJsIBfp02fL9iiWkJmt8vMljYhlOgQREZ299n8uhy1YXc363eTBNjkRqix+sHQua2qutsxa9545Yy2DbZmZs13xQ1PfL6exZeGDJWQ6hDT+FveMaMe9sEREDcSjZUv7BXMv/p6AR0Z3VL245Hptnh3ftaHOrdnJqdgzJ7M4rQn+LJmgEOKjD/hkmHpdrWWsJRvlj6TlNcgya9UVQKmS1ZoFD2rbtPfLaa61YCKDLcmePZnZKlM8ruwXa9dzISJqarJ++QUZ381HycmTaPPdtyrAS58zBx6xsQgYObJer+lu6fD0kjKdySB1c1ys3FUzd90xtf9O5j0KqYJ8YGQHjOhkfuj6/uQcvLlsvxrMfiqzQAWOt59vOhLjreX78c5fpjPN4iP88Pcjw+Hocg3BnHVL2JYsswZUZPv8LAwUrbE/OVct90uG0NoZsZbul/P2cEXP2Ka7X04jAastmhbXx93D2zV4MQsRUXOW8e23SHn3PYROuhmpH8+qHOEVEIj0OV/ZNpgzXlptyGXWmEBvPHFxZ7QJ91MZGJn1OvmrTVj0wBB0NDPCqKC4DHFhvhjbM6bWDGHHKH98fUflXFh3o4G2zrBnzt/K6QxhViyz2uKdsOUSq1RJay01mvJ+OY0tCx+sIbN+LZkhS0RElkv/eh5iXvw/BIwahbRPPjXc7929G87MnIn6avg0jRVGdY0yuf3YRZ3x9brj2Ho8w2wwJ+PDtBFiry7ZW+Prurm6NniGyBGXWTUWFUB07Ajk6IsUnCmY21gxwmtAm6a7xCrj1bzcXRHi62n3wgeNjDaz5749IqKmqOTkSXh36VLtfldPT5QX6Fcp68OiqOGuuZssfsFZN/Wvd1uGRTuTVPZNsjBn42hqHga+/Ce8PFzVaz1+cWdVlec8wZzly6zSIUaCgLoPdAUaqNN0TcFc5+iGb0uy6WiG+jiwCe+XC/b1xK/3nQ9/b3e7LmtKM2H5w8Dfyw3X2XnfHhFRU+QRG4vCvXurFULk/vsfPNvVPZXnrII5a/dwWTvPc+KHa1BUWq4aEc+6qR86mMnKWap3XDBev6qX2id3JqcI7/y5H1d/vBZ/PDy0xuXLoqIiddHk2CiDVZecimVWazJzoX5edu3ML8vje200xkv2RcpFvr7eFRnZpqqTDQJha0kg+c9jw9X31FyRjCX96YiIqGaht0zC6f97UY30kkqEgh07kL1oEVI/+VQtv9aXRVGDBEe2Eh/uj8UPDFFZqcW7kvDI99sxf/I59Q7ojIsnusRABQHnz/gbi3Yk4poB5rMN06dPxwsvvABHycxZMv1BY3FbkqQk4KmnAOk2/cEHFu1Vk8kLdc18leKVnKJSNeuzoSeAbKzYL9e9RSD8rNxHSPVj7X5NIiKyXMhVV8HV2xtn3nkHuoICJD76GNwjIxH91DQEjRuH+rL7jnLZ1C4FED1ig1QxhLS2mL36aIO9vjTgbRvhh6Np+TUeM23aNGRlZRkuCQm1t1+xlZyiEqszoZa0JVGys4EvvwS++caiw6Vi+Jftp+o8LqFiiVVGTzV0gYK2X65/E94v19RJ25rvN50wFPcQETV3QZdcgvZ//IFOWzajw3//osPKfxB85ZVn9ZoW/Rk+7t1/8c0d56ipD2Pf+bdaLzBjUol6NqRKt7hUX6rbEPKKSnEsLR+X96k56PHy8lIXTbYEPk5SAGHt9AdrLE9IxuV9Yu02xqs5FD80dU8u3IlftyeqLQ/3jmhv79MhIrKr1I8+QuAll8AzNhauPj7q0hAsihou7BplyLqM7mZagXo2Xl26F8M7RqBFsA/yikvxy7ZErDuShq9uG6genzp/G6KC9O1LhAR5B87o92eVlJUjObtQ9b3z83RX2T3x8qIEjOwSpQoezuQU4q3lB9Seq0t7tYCz9JmzZqnL2ukPdZGlVU3bive0Ntp+ua4NvF8uI69Y9a8TA9qcXUEMNSz5//aWc9vUOT9Y/t+UQM64wTURUXOWvfQPpLz3Pnx69kTgpZcgcMwYuIec/e84i6KGh0Z1NHv9bKXlFmHqgu1IySlS2ajOMQEqkBvSIUI9LpvfjTddS/A27t3/DLc/WXVYXaTR6vy79P3vkrIK8cC3W5GZX6JaPsg8z5/uORdhNsxgNZTselSzWp2Zy8wEIiKA+Hhg/frK+4cOBXbtwgPFZbjZ1QtTx09Fy+Aedb7cntNaJWvDBnObj+urWKWQxRm+d82BljmWBuKrDqTggs61/2H3+h/7GunMiIicQ/wvP6PowAFk/fY70md/geTpM+B37mAEjb8EAaNG1jtTV+/dzjtOZuLgGX3mpENkgNrzZq2ZV9ZeWKEFaJpWob44OqP2DYLvX98Xzqo+1awWBzpSBi3Rf0YGkJqqv24sK0s9Jrk4uYw6uB5urtfXuR9KlrCFBOINaedJ/aSRgVxidRi7TlVOfymtmAhTWwHNin0pFr2uZNyX7ErCsI4Rqk0LEVFT5tWhAyKnPqwu+Vu2IPv335E8fTpOP/88Om22vBXcWQVzSVkFKvO16VgGAisySLK5uV9cCN67vg9ighy/n5sjkl9o0p5FaO9rgy6zSo+5o0eBkyf1tz2rPO/nn6VHC364/mFcuXWpRS95oGIZVM6hoffulVYs97L4wXHcP7I9nv5pl7peWzscaW0yc+lew3HSQ7I2N362HhuOpuOuYfGYNqZ6M00ioqbK1ccHLl7ecPHwQHleXv1fx9onPLFwp1pm+XPqMGx/brS6yPVynU49RmeXlRPSPNZSVgVRgYFA1676S/sqm9HbtgU6d0ZcR8tHOO1L1u+XMzeto6EwM+c4bhjUGt1b1r2cvmLfGfXHnky1GN8zptZjD57JUYGc+DMhucHOlYjIURWfPInUjz/GofHjceTKq1C4Zw8i7r9PVbbWl9WZufWH07Dw7nNNeorJ9Rcu7Y6rZq2p94k0d9p+JD9PN6uaAFvcmsRC/a2YvrH/tG2DOZkP2iqUmV5HIqPy6iqgmblUv1dOiiTqMn1x5Vi+/q0ZuBNR03bkmmtQuHMXvDp1QvDlExE4fhw8os6+sNTqYE4qT7UlMGNlOh2iAp1vHqozj/ISUuTRkFxHX4hf96fjX89WGGdhZs5W0wsGtA3l1AEn89uOROw9naP2fd49vB0++udQjceuOZiKv/aeadTzIyKyJ79zBqPFyy/Dq+rq2Fmyepl12pjOeO7X3aoAQiPXX/htN54ay/0uZ7vMas0Sa4ivBzzqaA9htVGj8Ovlk7Eqvl+dh+638TIrl1idi7QLenP5fnX9rqHxJsUMso+uagZv+pLKrBwRUXMQ+fBDDR7ICYsih57P/2GSISkoLsOED1bDvWLJpbS8XF1//IcduKhbdIOfZHMgI7EcqWFwXTLzi5GcrZ9n2zGqYcd4aaStDDmP+RtPqOpmKYi59by2dWbwZMqIbCu4ekArfNGAU1+IiByVrqwMWT/9hLy161CangZUWelsPefLer2uRZHD/y7pVq8XJ9sus9okmEtORotThxCRqz+fmmgNfaU5s7VLw5YI8HJv8N51ZDvyB967fx1Q1++/oEOts3SLSsvw+jL9vropw9rVOf+XiKipSH75FWT+/DP8hw1VLUoaaiuRRcHclf1qH+lE9ukxF97AxQ/KW2/h/159FXH9LwMmDa3xsH0VzYJttV+ub+sQqwpBqHFVWTXF1+uOqZFdEtxfNzCu1ufOW3ccJ9ILVIHL7UPaMitHRM1G9uLFiH3rTfgPG9agr1vvpsGisKRM7ZMxZossTXPKzAVa0zC4gYsfrGGrtiRaQceQDuEN+rpkOzL/+OOV+kKHB0d2MIz+M0d6Ur739wHDNBlfz7P6J4iIyKlIPzmPuNr/4K0Pq/8lla7/M5bsxaIdScjIL672+OHpddVAUu2ZOQ+7tSWxxv7T+mXWTtENu19OhrH3jQvB0I76kW7k+OasPYq0vGK0DvPFxL4tTR+sklydtfIQMvJL0C7CD1f3Z8afiJqX0FtvRcbcuYh69tkG7dZgdTAnfaHWHk7DSxO64+EF2/B/l3VHclYhvtlwHE9c3LnBTqzZ7pmrZa9Rvac/NDCpTLRVZk72Wo3qevY9d8g2XMz8ESLzkbWsnHst1dWnswrx+X9H1HX5t6LqsTrUPimCiMjZ5W/ZjPz1G5C76l9V1eriYfo7P/a99xonmPtrTzLeuLo3BrcLw2M/7FDtI9qE+6FliA9+3nYKE/pU+cucrArmLGlNoi1j2auvn+yNyioogWxpM24eTc3P7P+OIrMi03ZZ79r/339r+X4UlpSjf+sQXMiAnYiaIbeAQASMGtXgr2t1MJdZUIK4MF913d/LXd0WA9qE4pmf9XMbyXqyl8jSZdZHR3fCyv0pOK+9ffaV7auY/CBBvLeHm13OgewvK78En/132LD/rbaClQNncrFqf4q6Pm1sZzaDJqJmqcX0V2zyulYHc3GhvjiRnq+q1tpF+mHRjkT0bhWMP/ckWzUgnkzlWtFnToI4ewVyxs2CO9lwJis5PgnkJKPcOToA43rUPoP1n336QO6iblHox7FdRNTMlaano/iIftuJZ9u2cA8NbdxgTtqU7EnKxjnxYbh7WHvcPmcj5qw9htKycjwzrutZnUxzVtlnzs7VfUOHYun2U1jn2xYX1pGZs1VbEnJ86fnFmF2x/02ycpb0ipPM3eNm9tUySUdEzUV5fj5Ov/Qysn75RUbh6O90c0PQZZci+pln4OpTv3nkVkcOdwyJN1w/v0M4/npkGHadykLrMD90iWGT17OtZrV7dnPsWPyQEoE/95ypMZhjZo4++/cw8orL0K1FoMq2WeLaAa24x5KImrXkGa8if+NGtProQ/j07avuK9i8GadffgXJr76KmOefr9frnnUaKDbEV12oiWTm6iAzNbXpDx2ZmWu2tJ+BqRd2tGj/m6+nGx4c1aERzoyIyHHlLFuGlu+8A79BAw33SQPhGC9vnHr4YdsGc1+sPqK6ustmd7lem7pmMlJ1ZeU65BeXOUbT5YwMhKUkIqigwOzDJzMKUFBSpipqW4cyiG/OZK/sBZ0jaz2mS8VItodGdUBkQO3V13/vTVFNyD1qaW9CROTMygsL4R4eVu1+97BQ9Vh9WRTMSW+oCb1bqmBO6xNljvyBzmDOerkVWTmtQtiuXnsNr06fjof8w/DvtRuqPaz1l2sf4V9rTzFq+izJykmrImkArU32qE1qbhEW70yqs8UJEZGz8undGynvvY8Wr86Aq5e+8b8EcSkffAif3r3q/boWRQ7/PXGB2evUMLIrgjkvd9daRyE1ioofrpjcNMSs/hsYXLlH0mS/HJdYm7UBbUIsHrlWVyCXmFmZBd55MovBHBE1WVFPTcOJO+7EwWHD4dVZXxBWtHcvXLy8EPfZp/V+XaZWnHSUl83ceqvhqldmeo2VrB2iuJG9OeoSE6D+6JAJDg3VK25kl8oCiugg+zTCJiJqDN4dO6LdH0sRMfVheHfurC4Rj0xV93l16GDbzNyLvydY/ILPjmd7kvr2mAt0hOKHuDhs6z0Evbf9a/bhg2f0G987RDIz1xy9PKGHCuSCfRtulNyITpEY1SVSVVATETV1rj4+CLn66gZ9TYuih92JWRa9mEu1yY3UlCpZpVDjUIoWzDEz1xxJP7mGDOQ0DpGVJiKysdRZn6gCiOArrjC5P3PhQtVIOPzOO+v1uhZFD99NHlyvFycnXGatxamMAhSVlqt9fa1YyUpERGSVzPnz0eL116vd79W+PVKnPmLbYM6co6l5OJaej0FtQ1WVq06n47zFs8zM2b2StcKp2HYoSstAUWiEyf0HU/T75eLD/Wqdw0lERETVlaamwj3S9HercAsNRWmKfuxhfVgdPWTkFePeb7Zg7eE0taj6z6MjEBfmi8d/2IEgHw88wz1zVist16mP/g6yzPrTlffiz27JmHF+D5P7D1Q0im3PJVZqYNqfBjr9/wpERE2Se0w0CrZsgWdsrMn9cp97ZO19Oxu0mlWKIaS/2JonL4CPh5vh/vG9WmDl/vpHleQ4mbmasPiBiIio/kKuugrJr0xH5sIfUXLqlLrIfrnk6TMQfNVV9X5dq6OHVQdS8dVtAxETZDoMtm2YH04Z9YuiphfMHagI5piZIyIisl7o7bejLDMTp//v/6Ar0e+Xlx5zYXfcjvC7JqO+rI4eCopL4eNZmZHTZBYU27/hrZPzc5Bg7rZPnsOMbatx0Pt5YOBD6j7ZE3lIy8yxxxwREZHVpLYg8tFHEX733Sg6fFgFcp5t2sDV8+y6BFgdfQ1oG4oft5w0OjH98PVZKw9jcHz1eWNkOX+v6kGyPfgU5CI8PwuuxUWG+5Kzi5BTVKoKH9qE+dn1/IiIiJyZq58ffHr0UE2EzzaQE1angqaN6YIbPluHHSezUFKmw/Qle7A/OReZ+SVYeDdbmJwNRymAqG2/XOswX2ZgyaYKS8owZ81RNdO1S0ygvU+HiMjhWR09yEzOvx8djq/WHFV7vPKKS3Fxt2jcPLg1IgM5iuds+Hk6cjCnb0vSPoJLrGRb7/51AB/+cwgbjqTj81sG2Pt0iIgcnlXRQ0lZOSbN3oCXL++B+y6o/wwxcvTMnEuNxQ/cL0e2/JGTIqpvNhxX1+UPRSIiqptV0YOHmyv2Vgxap6Zfzep7JslwPfnQCQw7vBnnxqYDuqPVG4J16QK0aaO/npYGrFtX+VjVYzt3Btq311/PzASOHQN69bLdF0JO45v1x1FcVm7v0yAicipWRw8TerfE/I0n8OSYzrY5o2bMUapZy131e+J8Uk4b7vPZvhWfff8c8H0NT3r3XeD++/XXd+8Gxo+v+RPMmAE88YT++q5dwJAhwPbtQM+eDfdFkFNiIEdE9pA+bx7SP5+tJjR4de6M6Geeho8Fv5OyFi1C4iOPwn/kSLT64H3Yi9XRQ1l5OeatO4HVB1PRvWUQfKu0KXmWEyDqLcBBgrlVwy+HW+Ip5Jw/Eu3khzyvGIk6T+yMaoduLQLhqo1tMx7fZty52t8fGFDLXqfo6MrrWgB48iSDOVLC/b2QmltZSU1EZEvZixfjzIxXEf388/Dp1RPpc77C8TvuRLsli+EeVnOXjuKTp3Bm5mvw6d8P9mZ19LAvOQfdWuorzI6k6vdRaVzM7LUi58vM7e4xGO/cHI8Zw3oYKlk3x3bFlIc+weonL6j7Bfr2BTZssOyTuTvG10yOQabK3D28nZo0Q0TUGNK+nKOmLwRfMVHdjn7heeSuXKmmNIRPNj/4XldWhsTHHkPE/fchf9NmlOXYdwua1b9Jv5vM9iO2IEmuqllOhxvjxeIHspGWwfqJMvcMb4eoQC+zx0jj6l+3JyLC3wvntg+v9fWyC0vg7+kOV1f+gUnUHOXk5CA7O9tw28vLS12q0hUXo3D3bpOgzcXVFX6DB6Ng27YaXz/1gw/hFhaK4CuvVMGcvbFhmIOQXzzSGdqRgzmbtiXhhPVm7d4R7fHjPefivgva1/gj8eeeM3jwu214cH7N/8CK3YlZOG/637jra/v/A0tE9tG1a1cEBQUZLtOnTzd7XGlGJlBWBrcqy6lu4WFq/5w5+Zs3q3mqMS++CEfBNS4H4ShLrOYcqOgxx8wc2Yq3hxv6xoXU+HhRaRleXqRfes0rqrlliUyjeebnXWpayd7TlX+VE1HzkpCQgJYtWxpum8vK1UdZbh4SH38CMS/+H9xDav43q7E5bgTRzPg5yCgvc7SZrO0jGcyRfchEiKNp+XUe9/3mE9h6PLNRzomIHFdAQAACA+ueIOMeEgy4uaFMWmoZKUtNg3t49e0cJSeOo+TUKZy4+57KO8v1Vfh7unVXRROecXFobAzmHIS/twccUW5RKRKzCtX19hEBtvtEXGalGkhl63t/HazzuMz8YsxYsrdRzomImgYXT094d+uGvLXrEDBqlLpPV16OvHXrEHLDDdWO94yPR9tffzG5L+Wdd1Gel4eop6bBw7hbQyNiMOcg/B00M6dl5SICvBDka4OAU6peHXSvIDmGN5btV8umUhiRnF1zy5LXl+1DRn6JKiTKLy5r1HMkIucVdsskJD45Dd7du8OnZw/VmqS8oADBEy9Xjyc+8QTcI6MQ+chUuHp5wbtjR5PnuwXoEx1V729MLIBwEI40/cE4tjqUog/m2kX42f6TEVVpcZSQmI35G/XjvZ64uOZG5btOZanpEeKBkRw1SESWCxw7FpGPP46U997FkQmXo3DvXsR9+olhmbUkMQmlKSlwZI4TQTRzjloAcTglT32Mt2UlK5EZsvD+f7/vRrkOGNczBgPahJo/TqfD87/qjxvfMwaD2po/joioJqE33qAu5rSe+xVq02KG+UrZxuSYEUQz5EiZOWOHKxpDx4fbKDP31FPAJ58AvXsD/Sq6aAcHA/fcAwQF2eZzklPYcTIThSXl8HJ3xbQxnQ3bKqtur/x52ylsOpahGg4/Pa4LTlfs8SQiai4cM4JohvwdPDPXzlaZufXrAaki+usv/UUjexDuu882n5OcggRyYvLQeMSG+OJEer7ZAp3pi/VFD9KjLibIh8EcETU7jhlBNEOOuMwqy1ZHUrVlVhtl5t56C/j6a9W0UfnjD2D3bmnfbZvPR05Fih6mDJMJwea999cBnMkpQpswX9wxpK3JYyyQJqLmwvEiiGbKETNziZkFKCoth6ebq8qM2ETPnsDMmZW3PT2B/HwusZKh6KGmP3RkMsns1UfU9f9d0hVe7o5ZEU5EZGuOF0E0U44YzGn75VqH+cKtsWZcysiVGsauUPPQMkQ/p7VvXDAm9K7s4F616OGF33ajpEyHCzpH4oLOUYbHHHUsHhGRrTheBNFMOeIya2Ulq42WWInM6N0qGL/ed56aOOJawx8RyxKS8e+BVJU1/t/4ro1+jkREjsTxIohmyhEzc9p+ubbhbEtCjatnbHCNj5WV6/Di7/o5rXcObYs2tqq0JiJyEmwa7CD8vR0vmJP9co2emXvxRX2Lks8/b7zPSU6luKwcJzMKEBPkjXtHtLf36RAR2R2DOQfhqOO8bDr9wZzjx4EtW4DTpxvvc5JTempsF/h61vxHkAR8205kNuo5ERHZg13TQXPXHcO8dcfUP7qiQ5S/GsUzolOk2eP3J+fgzWX7sfNUFk5lFuDZ8V1x+/mm7QjEV2uPYtbKw0jJLUKXmEC8cGk3tQ/H0Ri3TnDEPXOaeHsssxYWVrYn8fYGPCrmwpaUAAX6nxez5FipiNWOlcpYYz4+lY+T0zonPlRNe6ipOELz1Zqj6H1N70Y8MyKiZpaZiwn0Vq0Hfrv/fLXh+dx2YZj81SYVtJlTUFyGuDBfPDGmsxr8bs5v2xPx0u978OCoDlh0//noGhOAmz9fj9Tcmgd020txxTKmo+6ZEyG+Hgjxs0Pw89JLQGCg/rJgQeX9ixbp25bUdPnyy8pj//lHP03C+BIVBRw92vhfD501H083NcpXKqufv7RbjVWrWjWssMvPLhFRcwrmRnWNwojOkWgb7qdmfz52UWe1bLL1eIbZ43u1ClZLK5f2aqGq2Mz57L8juHZgK1zdvxU6RAXg5Qk91C+BBZtOwNHkFZcarvvVslxkT40+k/WCCyqzcLaQmQls22a71yebCff3whtX9cKnN/dD5+jAGo+LDPBWs1yFpzt3khBR0+cwEYRUqC3amaSyb33jQuqd6dp1Kgv3DK/sGC+tDc5rH44txxxv70xOYWUwV1MLBnuz2UzWmlx3HXDFFUB5ZdbSJLi75BL9EmxN3I1+pEeOBIqMMrLDhgHr1jX0GVMjmtg31qLjogO9bX4uRESOwu7B3N7T2Zj44RpVOenr6YZZN/VTGbX6yMgvVkGh/AVvLMLfC4cqeqaZU1RUpC6anEYaJZVXVBnMOaq29ugxV9ueNjc3/cUSrq6mryW3iYiImhh3R9hcv/iBISpLtXhXEh75fjvmTz6n3gFdfUyfPh0vvPACGlteUcU8Ugdml+IHW/n2W31Wr0ULe58JNRLOZyWi5sDuqQrZ0yJNP3vEBqliiC4xAZi9un4b1EN8PdXm6KrFDlLVKtm5mkybNg1ZWVmGS0KCviGpreU4QWauUduS2FpcHNCxI+DfhAJUIiJq9uwezFUlW6WMqzytDQy7twzCmoOpRq+nw5qDaejbuubWJF5eXggMDDRcAgIaJyvo6Musso1PqoeJiIjIcdl1mfXVpXsxvGMEWgT7qMrOX7YlYt2RNHx120D1+NT52xAVpG9fIiTIO3BGv5+tpKwcydmF2J2YpSpBtZE+d5zfVi3V9ogNRu9WQfj8v6PILy7FVf1awdE4ejDXKtQXXu6O28zYap9+CqxYAYweDXTrZvpYWBgQH2+vM6MG5pjlRERETTCYS8stwtQF25GSU4QAb3d0jglQgdyQDhHqcWkMbNxLSoK3ce/+Z7j9yarD6jKobSjm3zVY3XdJrxZIzyvGW8v3q9ft0iIQc24bWGNfOnty9GXWRq9ktbW5c4F//9XvnavqppuAr76yx1kRERE5bzA388petT6uBWjGmaKjM8bV+bqTzm2jLuRkPeZs7bbbgFOngFIzQbRk5qjJ0YEVEETU9Nm9mrU5+/KWAXh4wTbV2NiRSJZUdI5uvIriRnHLLfqLOWVllc2Ee/ZkGxMiInIaDObs6Nz24Vj/1Cg4mkdGd0K/1iG4rHdLNBsyw7VPH/11mf0qM17J6W0+moET6fkqq09E1FQx/UDVtAz2wQ2DWnMUEjm9TccycM+8LfY+DSIim+JvayJqcgpLKxty7zyVZddzISKyNS6zElX16KP6Ga8zZ1aOA5s3D9iwoebnvPwymxE7kIy8EsP1wIo9oPVRWlaOu+dtwZnsQiy8+1y4u/HvXyJyPAzmiIQEbV5eMqgX+OAD/X2vvFIZzC1bVnvrkmefZTDnQG47vy2W7j6tZjX7eVX/Z06aic9ddwztIvxxfofwGl9n9uojWJ6QbGiV1DqsibXrIaImgcEckZBA7qef9H3oNJKd01xyCRAbW/PzfXxse35kFSng+eXe8zD+vcq+lMa+3Xgcz/26G3Ghvlj1+AizxxxNzcMby/bb+EyJiM4egzkizZgx+os5V16pv9Q0zf34cSA1FWjVim1NHJw0E391yV51Pb+4cm9d1czdEwt3oKieowWJiBoTgzmisyVLs20qmlRnZQGBgfY+I6oSaxt7eVECsgtrn74imbv1R9Lh4+GmRgeWlrP5MBE5LqYQiKjZWH0wFT9vS6z1mNNZhZixWJ+5e/SiTvD2aELziYmoSWIwR3S2jOYHo29foFMn/eWbbyrvX7cO6N0bWLHCLqdIQGFJGZ75eZe6LvOca/L8r7vV3ORerYJxC8cCEpETYDBHdLY8PPR75cShQ8D+/fqLLLlqfvsN2L4d+Ppru51mczdr5WEcSc1DRICXyrjpmS6f/rH7tKqCdXd1wYyJPeDmahSoExE5KO6ZIzpbUvAggdquXaZZunbtqm/cKueGenuQIO6Dfw6q6/8b39Uwf9hYTmEJ/veLPnM3eWg8usQE1rr3jojIUTCYI2oIISHAkCE1Px4crP/IiKDRaHG1DjoVpBWXlmNIh3CM7xmDfck51Y6fuXQfkrOL0CbMFw+M7ND4J0xEVE8M5ogag3HGjhqVBGhykVnDL17WHS5mvhebj6Xj6/XH1PVXJvYwKXrgd46IHB33zBE1poULgY8+qry9e7d+OVYuL7xgzzNr8u4b0R5twqtPcJCM3ZMLd6qk6VX9YnFuu5onQhAROSIGc0SNoWNH/cfcXCAzs/L+4mLg8GH95d137XZ6TV18uB/uGhZvuO1ilG/7eOUhHDiTi3B/Tzw9roudzpCIqP4YzBE1hssuA/buBdasAW66yTTI++47/XXup2tQxpWoL03oDi/36v3ipHnw+39XFEZc0g3BvhWzeI1ImxIhs1yJiBwR98wRNRbpPVeVn5++/5xgMNegOkQG4PI+LdExKgDntje/dCpLrGJEpwhc0jOm1tf7/L8jeHZ8Vzg6nU6Ht/88gGypzh3f1eweQSJqWhjMEdmb9stWll+lN11QkP62NBjesKHm591+OxBeEaT895/+IlWzN98M+PqiuZPM3FvXVATKtfD1dMOLE8wXRhgL9auetXNEX609hnf+OqCu3zW0HaKDvO19SkRkYwzmiOzNx6fyekZGZTC3eDHw+us1P2/8+Mpg7s8/TQsopkyx1dk2OY+M7oTYkJqD309u6ofJczcjLtTxA+TtJzLx0qIEw+0yZnuJmgUGc0T2JtMj3n4b2LYN8PevvL9/f+DWW+vuXSf69AE6dAAOHNAHhFSr1mG+KjiLj/Crc2SXsyxTZuWX4N5vtqCkjAEcUXPDYI7IETz4YPX7rrlGf7G0wOL33/XBHLMxdZI+cisfG+5UwVpd++Qe/WE7TmYUoFWoD5IyC1FaXv3nIL+4FL6e/GefqKlhNStRUyPLswmVS23YtAl49NHKy7RpwL59aO4kiLMkkHOGUE+KM5YnJMPTzRUfXt/P7EzZ6Yv3oPtzf2DFvjN2OUcish3+iUbUVARWzBJdvVrft65r18rGxG+8YXqsZPB++KHxz9GJOWq+c8vxDMxYslddf3Z8F/SIrdhzaeSXbacwa9VhdT0hMRsjOkWaXaaVmbWuZgJBInJsDOaImopHHtEHdPn5+okSmu7dgccf11/ftUufuZPmxeT0MvKKcd+8LWpJVWbO3nhO62rH7E/OURMuavPPvjO4a+5mjOsRgzctqAAmIsfCYI6oqWjRAnjuuer39+unv4i5c/XBnPG+OplCYXzby6sRTpbOVnm5DlMXbENiViHahvth+sQe1ZaNcwtLcffXm1FQUlbj6xxLy8MD325FUWk59p7OgTMEsI98vx1dYwLx6EVmejcSNUPcM0fUnMgv+zZtgOH6zf9Kr16At3flRYopqMZCA0chy6Yr9qXAy90VH1zfFwHeHobHtJjuqZ924nBqHmKCvHFh16hqr1FQXKYycjIJwxnI+d42ZyP+3nsGc9YetffpEDkMBnNEzYm0O5EM3pNP1nzMkiWNeUYOTwuMpIdb3xeXq0IDe9twJB2vL9MXsTx/aTd0bVGxX7KKzccy4OHmgg9u6IuwKk2PJTB98scdTpGNE6Vl5bjvmy3YerxitrHjxNVEdsdgjqg56dwZWLWqMkIRGzfqJ0/s2aO/7UDZJ0eTkV+C+RtP2PRzJGYW1JoBTM0twv3fbkFZuU6NK7t2QKtaX09GkPWNC6l2/5drjuKXbYmq8vW+Ee3hyOT9kCzjX3tZiUtkDoM5oubGrcrAeWlULIUTAQH626VVltx69NAHgXI591zg0CE0J1XjqtgQo4kdDWzWykM4d8bf+PCfQzXuk3t4/jYkZxehXYQfXqphDJlrxX2X9W6Bm8wURaw/nIaXF+mD96fHdsHAtqFwZG8s248Fm05CCm2fGddF3Wf8bSksKcNn/x7G7sQsu50jkT0xmCMivdBQ/VSJMWNM75eedNpl7Vp9c+JmxNXVfKDU0LadyMRrf+iXTg+n5Jk95pN/D+PfA6nw9nDFhzf0g5+X+Rq2O85vqypTzRVFnM4qxL3fbFUVsBLs3Xpe5QQMR8zJzllzFO+vOKiuv3J5D4zqEmVm+XUrXlq0B68srsguEzUzrGYlosoZsRKwpaSY3v/33/r01IsvAsuXA2U1V0Y2Ree2C8eV/WKx5ViGKiawhbyiUjz0nT7AqsnW4xl4vSLYe+6SbugUXZFJNWPq6JqrPL9ef0x9OztHB5gN9hzJ4p1JeP633er61As74tqBcThq9D3Q7/vbiT/36Pcx5hc3r59NIg0zc0RUKTIS6NbN9L7zzweGDNE/pvWzqxrwNfHRX69f1QsXd49Wt3U2yF89/+tuHE3Lr/Hx7MISPFAR7I3rGVPnPrnaSCAX6O2OWTf1M4z2csR4bu2hNDz03TZ1vjcMisP9F1Tf1yfNkn/YfNIu50fkSBjMEZFltF51l1wCHDtm77NpMhbtSML3m0+qgGpk50jzm/9/3IkT6QVqv97ZZtPkqe9c1wetw/xgD8Wl5Zj24078329GI+eq2Hc6B5PnbkJxWTku7haN/7uscm+g9qXnFpUaplqM0QJtR1wnJmoEXGYlIss8/DBw1VVARARw8qS++XBNzjlHvweP6qxcnfbjDnX9nuHtEOjtoSo2jbN/CzadwO87klTV6bvX9VHH1EfHKP2y7KOjO5kd5yX2JGWjMapStWzaYxd1go+naUFOcnYhbv1iA3IKSzGgTQjevra32VmzmmljOiM+wh9Ldp226bkTOTIGc0RkudhY/ccFC4Cnnqr5OGl/IkuzSUnAmTP6AFD62zkxa5Nhf+9NxqyVh/Hy5T3QPtK/2uNlFZWp0rC3V6tgPDSqI2b/d8TkmINncvDcr/o9Y4+M7mi2xYilbju/rSp4CPOvPuHDBZVfnGS8/GsorDhbUqVrvCxadck6p7AEt3yxUU21kGrdT2/ur5a5jRkHdncNjcddw9qZ9P6TgHFPUg46RPnDw42LT9Q8MJgjIuvFxOgbENdE2p2IN98EXn8dePRR4LXX0FycyizAbV9uUtd/3HISj1/cudoxn6w6jPVH0uHn6YZ3ruldLfCQdhtSpVlYUo7z24djylCjebv1ZC6QE33igk2WQWGDiW6/70g0VOuaU1JWjnvmbVHZwXB/L3x560AE+5o2OhYtg31w8+DWCPPzwgMjTffRSWj41E+78O2G42qP3SO1FIIQNSUM5ojIerfcor9Yms767DPg118r72/bFli6tPL2NdcA99wDDBsGR7fpaAYueOMf1e/sgs5RZnvBPf7DdsNt3yrLiEL6ob25vKIy9dJuaBNeff+atNmQ6Qzh/p5485pecK1lqfFs+VTJfjW0LcczMHWB/j25bmCcCraM97hJNk320UnbFXm/vrhlAFqF+pp9Ldk7J3voTO6r+LjzZKaa1KEF1ETNBYM5IrKdDh30HzMz9Rdza5bS7mT9en3jYicI5nae0jemlaU9c8GctP5YfTDNcLtqECYZN1leLSnT4aJuUbiqX2y1t2X94XRDMPLG1b0RGeANZ3UiPR93ztmkMn6jukSqIFgL5jRv/3lALb/KEqrMme0RG1Svz1VLZxeiJo3BHBHZzh13AAMHAjk51XvaaTZt0lfHSvZOlmKlcbGTOpaWh+mL99Z6jPSK25+cq5YSpQmuucpULZCbPDQewzpGwFllFZTg1i83Ii2vGN1aBOKda/tUK2ZYsPEE3vnrgLouEy1GmKnotaaxc3yEn9mmy5IxtWV2k8ieGMwRke1IoNKrV+3HhBht6v/uO2DKFDgjCRYe+2EHCkrKMDg+DC1DfFS2ybhdxpqDqfisoshh5pU9atzDJnrFBqnK08ZgHE/WNhfWGrIH7t55W3DwTC6iAr3w+aQBamKFZCY1q/anYNpPO9V1mQ8rS7D10a91qHrPh3aMUCO/pi/ZaxhnUVBchnvmbUZCUjaWPTwMQT71qwamhiU/Z47csNrZsNSHiOzrppsqr//4I/DHH3BEWkWqZNTMmbP2KDYcSVd7vmZe2VMFFVWzVI9+r983dv2gOLNLtNqoMKkmfe+6vvB0d3XaX9T/+2UX/juo3wMngVx0UPWl4ofmb1NVvRP7tFTVuvUlAdq3k8/B3cPbmQSm+qKKzVixL0XNs5XAkuzvQHIOJnywWmWyqWE4578URNR0+PkBd99duX/OQYO5Cb1bYt20kbjl3OqD64+k5uHVpfrl1afGdjG7eV+mPEjLjTZhvmq4vTkXdYtWjYM/vKEv4sLMFwA4g0//PYxvN5xQAe271/ZB95bm98AVlZbjvPZhmHFFzwbP0pTpdHhkwXYVyFHjkeC8Niv3p2Dih2uw/WQWXqilcTRZh8usRGR/jz2m30dXUACcey5QWAg8/bT5Y8eOBUaObOwzVMGGueyS/PJ67PvtqoWIBCYyespcW46ftp5S+8XevKa3Wm40R4LAz28ZgMZmHEgNnblCzXa9/fy29XqtpbtO65c5ATwzritGda2egdTIfNiPbuzXoBlIrWeeNBGWogt3Vxe4u7mo7w/ZTlpuEe7/div2J+eo5exQv+ptZeauPYrnf0tQ/88MbBOqxuRRw2AwR0T2J61K3nij8nZ2tr5HnTnz5gGnHafb/xerj2DTsQzVL+5VMxkmmWggPeXEvSPan1Xj38aQV1yGD1ccrFcwJ21BHpq/Ve0TvOmc1rj1vDbVjvFyd0XP2CDkFpbii1sH1HuiRV0kkJNvxVvX9Mbry/bhWC2zb+nsHE7JVYUu2nssy9kD21ZOgCktK8dLi/bgyzVH1e0r+sbilYnd4eVu25Y4zQmDOSJyPJ6ewOOPm96XlQXMmmVaGXvnncBR/S8IE/Jb/LbbgGuvtfkvMa0R7tPjuiI2xLdahmje+uMqEyEBjLlh8Y5IijeslZRVgDu+2qQyYMM7ReC5S7qaXTqV+36+5zyU63Rwt8GEBuNP+fKEHrikVwsVzOmxd0lD23g0HXd+tQmZ+SVmH5epHpKx+6diufvxizvh7mHtHK74IX3ePKR/Phulqanw6twZ0c88DZ+ePc0em7FgAbJ++RVFB/RV2N7duiLy4YdrPL4xMJgjIsfj7Q28+qrpfbL0esMNgJvRX/Pr1gG7dpl/DWl3YsNgTgI0KWiQfV9DOoTjuoGtajzO28NVZYgcebyULHlKk2JzjY5lw/qyhGSVafP1rP5rQypG5Rd6Sk4ROkUF4L3r+tQaqEmLEFejEWIN6bz24WoUmGQGpdCEbOeXbafw2Pc7UFxWrqqvT2cXqkIT4x6Dd8zZhH3JOfr/B67ujTE9YuBoshcvxpkZryL6+efh06sn0ud8heN33Il2SxbDPSys2vH5GzYicNxY+PbpAxcvL6R9+hmO334H4n//DR5RNW8rsCUGc0TkPAGezHs1NmOGPmNnLCUF2L0buOgim5yGllFYsvM0cirmmNa1gV+KItpFVJ/P6kh+ve98/Lz1FB5fuKNaz7trP1mnesXFhvjgst4tq1WuPvrDduw6la32SX02qT8CbLR0aokuMYH465HhJvc5Vg7I+cn3XObsallpaX799jV9MO69f6WsxTD1Y/JXm5CaW4yIAC98dnN/NYPYEaV9OQfBV12F4CsmqtvRLzyP3JUrkbnwR4RPvrPa8S1fNx1NGPPSi8hZtgx5a9cieMIE2AODOSJyXuPG1fyYFFN88AEwenTlJIoGJIGckIkGMi+0Kq3IQXqfSZbI0UkRgq+XW7WM211zN6lATrtd1Xt/H8SiHUmq0OCjG/rWOIbLnnIrvlfSHqam4GThllMI8fXAyC72yaw4C2n38sxPuzB/0wl1W/ZWyh8rxs2gF+1IxLcbT6h9ixJcfz6pP1qY+X/EEeiKi1G4e7dJ0Obi6gq/wYNRsG2bRa9RXlAIXWkp3ILqN7mkITCYI6KmSYok7rsP6N0b2LrVJp9CArVrBphfXr1jSFtEBnrhugFxDrc/yBIS4Dz54w6VcavJkp1JeHP5fsP0hkHx1ZekHIFkh8ScNcfM9veTPXUfrDikilh2/9/FdjhD55BdWKIaQcsMXYndnr+0G24eXFnkov2Uz1l7TH2U8W0y9aOm6m1bysnJQbYUUlXw8vJSl6pKMzKBsjK4VVlOdQsPQ9ERfYPvupx543W4R0bCTyrx7cRxN3AQEZ2NE/rMAbZvByIjTS/miiasFCDLqxPNj+MSkomYMqwdgnw9nLZX3C/bElXGxVzmcXdiFqYu0DdBvuXcNri2ntMbGlOwme/Fh/8cVIGcyDeaTkGottx+1UdrVSDn4+GGT2/ubxLIVXXnkLaYdVN/uwRyomvXrggKCjJcpk+fDltI/eRTZC9egtj334OrmWCxsTAzR0RNU48eQECAvvpV9tEZK6v4pS1FFsX6rE01rVoBt9xS7e4Lu0bhzz3JuGd4e4ddOqovrQJXZsfKNAvxv/Fd1SQH+WWu1YJKocOdczap0WVS/CFLzY7sgQva492/D1Yb5TVnzVHMXKpVulaXmFmAMzlF6O2ge70ay65TWbjty43qvYgM8MLsWwaYbQTdOToQx9Pz8X+Xda/3aLaGkpCQgJYtK/d3msvKCfeQYFVUVZaWZnJ/WWoa3MPDa/0caZ/PRtqnnyJu9mx4d2qc0Xs1YTBHRE2TzHw9fhw4ebL6Y7Gx+o8vv2za6sTY+edXBnOnTgEtWqi+Fx2jAvDTPeehKUuv2CN3df9Y3Dy4tQrmNEWl+n10Ms0iPtwP71/X1yYtRmxN5uY+9+tudV0Cj283HK/WM+/Gz9Yjr7hUTf6IDKzeMLo5kPm5d3+9WfUflErl2bcOMJupFe9e10ftT3SE+bcBAQEIDAys8zgXT094d+uGvLXrEDBqlLpPV16OvHXrECLV8zVI++wzpH48C3GffQqfHt1hbwzmiKjpCg7WX2oiveik5Yk57St6wr3/PvDzz4D8lT9nDpoLyUa9OKG7yTKyNAN++qdd2HI8EwHe7vh0Un/nWEaushS+eGcSHv9Bv0Qs7VZkpqtxMJeQmI2bZ28wFLlIAUhzDOYk4H1y4Q6UluvUdBOZ1lFbk2dZkneEQM5aYbdMQuKT0+DdvTt8evZQrUnKCwoQPPFy9XjiE0/APTIKkY9MVbdTP/0Uqe++hxavvw6Pli1RWpH5d/X1hauMJ2xuwdzcdccwb90xnMwoULc7RPnjgZEdMKJTZI3PkaqpN5bvU89pG+aHJ8d0xojOlcfLLL6FW05W26T81W0DbfiVEJFTevvtuo957z1gv36TP6S67eOPgcGD0RRpe8pkKW3WTf2qdeift/4Ydidmq83vH1zf1+HbrZizYu8ZPPjdVsgI0Wv6t1LLyFqBhNZT78bP19dY+doUFJaUqR5x58SHoXWYX52tRyb0boGZV/Zq0LFrjiRw7FiUpmcg5b13UZaSCq8uXRD36SeGZdaSxCQpcTUcn/ntd9CVlODUgw+avE74vfci4v770OyCuZhAbzxxcWe0CferKA0/qfrSLHpgiFrKqGrzsXQ88N1WPH5RJ4zsEqk2506euwm/3z8EnaIrjx/WMQKvXVXZidnLuMkoEZE1JCvXrZs+LbVjh352rGT0nngC6NgRTYn8cn/7mt7o1zoEUWYyURLIiWfHd1V/JDubbScyMX/jCZSU6dRkiFeqFLDIt/j6z9arZeYeLYPU/i8J6uT+pkK+HmnwLHsipT+cFClUbXL9v192qcklQop45HeuNHpuykJvvEFdzGk99yuT2+3//guOxq7BXNUBzI9d1BlfrzuOrcczzAZzs1cfVYHaXcPaqduPjO6kKmvmrD2KVy7vYThO/nqIDGh+KXEisoEuXfTVr489BixYUDl5QoI8GTn20UdAcnLN+/Zuvx3wd44MliyTTehj2hS4Kpl0IdWrzkQLQ3aczDK0zHjz6l6G3mjGq7BS3CHTMGQ156K3V6EpkTnBk2ZvMEz6yCnULyNrpI+gjN6SAh95T56/pBsmOdn3urlymD1z8tfAop1J6oeppkHUW49l4PYh8Sb3yV+Hy3abDt1edzgN/V5crtbuB7cLw6OjOyHEz7PGz11UVKQuxv1piIgM4uKAL74AxowBpHfVxRdXZuVk2VUydrXNmb37buCbb2outpB9fddcA0clrSiEDE9/4VLTfXTO5tx2YXj/+r41jlaTUWBf3zHI5HeGbOq/5YsNav7oD1MG26TgQ3r2yd68G23UYPpQSi5u/nyDqko2R7KRt8/ZiK3HM1VC5N1re+Pi7o43eoscNJjbezobEz9co+YbyjxA2afRwUxWTqTkFiHc3zQoi/D3RGpuZSA2rFMELu4ejVahPjiWlq/W/OV/wh/vOc+kQ7Ux6T/zwgsvNPBXRkRNiq+v2VYluPpqfeVrVRLwPPMMEB2tvy3Xa2pCKm0NtGBONlMvW2b+OKnOu+SSytu//159nJlxa5YGGvx93wXt1XaYW89t45T7pmSclOgbF6z6o3lXBKeaEF9PdIj0V78j5tw2EOH+pm0sHp6/zRAEJWUVNviUC+l1p7VIGdUlCtFB3g2+vHzrFxuQkV+CtuF+uKp/rPp82vLx8bR8TPpiA46k5qkkiIxkG9AmtEHPgZp4MBcf7o/FDwxR6d7Fu5LwyPfbMX/yOTUGdHW5tFcLk543XaIDMfS1FSpbJwOYzZk2bRqmTtVXqYhTp06phoNERHV6+mnLjpOxYmfOmH9M64f1ww/Am28Ca9fWHPQZB3PTpgG7dpk/VvpqyeeTAPCPP4DUVH0GUGbWulv3T79se5l6Yf3+TXYEV/dvhdZhvipAqRrICQnilj40VC3HmtsbVlM262zJXvG3/zyAd/46YFKc0JD+PZCCu+ZuRn5xGXrFBqkecWsOVfZU23kyC7d+uUEVgUjLkTm3DUD7SOf9XjdXdg/m5K88+YtP9IgNwo6TmWpv3PSJlXvgNBH+XiZVRyIlt7jaX1HG4sJ81fDno2l5NQZzVcd8GI8AISJqELIcWxepkpVmxTW1N5DHqh4fY2YpbPlyfaBXXq6/LSsPWoAoz7n11srs4R13oKmT3zNDOtResFHTyo3w93JXDZJlO5DxjNJXFu9RS6+y/87apWcJ5Gb+sQ8f/aOfPmEL0oJFKnel4EOaO398Yz+TiQyy9HrNJ2tVoNc1JhBf3jqgWbZgaQrsHsxVJf/2yHBec/q0DsGag6lqsK/mvwMp6Nva/B47kZRVgIz8YhZEEJHjkwzd/PmWH//JJ5YdN2BAZTAnH7XrUumvBXOyb3jjRvNLxs2UVPXKqo4sO970+QYV9IjSsnI8NH+bapUlHhndEbEhvlYFcv/3ewK+WH3UUB389vL9hr52lpDWInlFZbh+kPlJC9+sP46nf96pllLH9YjBm9f0qtZqRiY6iPPbh+OjG/sioJYecuTY7BrMvbp0L4Z3jFAjcaTLtrQaWXckzdATbur8bYgK0rcvEbed1wbXzFqHT1cdVr3lftueiJ2nsjB9on5fSF5RqUpXy545yeJJWfn0JXvQJswPQzvWPpaDiKjJeucd4K67gJdeAvLzK+93rdj/JgUcUtyRmKjfFyj9s3r3RnP34Q19UVxWbhIESXZOZtJqgZywpnVJebkOzxq1/pDGzDed01oFc8ZJiOhAb7PZvqoZvTHdo02KNar2iJNg78XLuptkHo1fdmKflphxRU+n3AtJDhLMpeUWqf8ppBRcuol3jtGXg2vpcNmnYPzD3K91KN65tg/eWLZP/aC2CffFJzf1N/SYkx/WPUnZWLj5JLILS1Q2ToK4qRd2qvYXCRFRsyL7gKWi1hzpoyeBnPjyS/1l2DD9bdlPfOmlaI7k90/V3x1P/bRT7Tlzd3VBuU6nmg9bGsxJICgTFb7ffFIFVK9e0VPt5zMmI8ZW7k9R827vqNK9QQLB53/bja/WHjPcJ8WDxo/L0u9n/+kLbe4b0V5lDasGhYPahmFgm1C19CrFLc5cnUwOEMxJR+nazL+repf1cT1j1MUc2dg69/ZBDXZ+RETNgiy3/vuvPnMnxRJi5Ur9x2uv1X+UqtnWtbTNuOoq4NNP9deLi4HImif5YNw4YN48/fVjx4CCGgoMJMgwHmB+4gSQl6e/3q4d4NH4y4ISyEni4L3r+uDR77ermaWWBnKP/bAdP245pZ4v++wu623U068inpJATkhlqTFZ2n184Q71fHlbqgaQ8vgTC3caJiCZCwaNq3sXTGmaU0yaK4fbM0dERHYge+WWLAHWrKnM0om+ffUfJXqoqQ2KMF6+FbUdqwVk4uabgVU1NOeVQpDc3MrbslQs52iuqESqfFtUdjOwFQnE3rm2N8b0iFHBnPHyZk0ZLgnk5NiftuoDuXev7VNjUsKcotIyPPjtNizdfdoQCMrrSWGDVgF73zf6Zr/y+MwreuKKfrEN8NWSs2AwR0REehKMnHee+ccCAipn1Nb0uEYyZrUda1ytK61TQmvoaVa1qtf4c4gpUyqvSwZPgjmZxiFLw1LN2707Gor0fjuamqcCqfE9TYNGKWbYdiJDrSZVnVcrGTNpuSV7wt0rMnoSCFYVH+6HPadz0LtVsBq1pSXepJH+XV9vxqr9KfB0c8X71/fB6G7RhkAyp7BEVayuP5Ku9r3JzNwLq0xXoqaPwRwREVm2FNuhg2XHSlBo6bG//Wb5OUilr1xkOXjLFtPHKoaiq0pd2RsoF+NlWGmVoPXaq4fvJp+j+qFWDdaEZMTEtuOZJo9LIPfwgu2qWE8COZk8IQV65l9/sGp/MnftMRXMCdn7fceXm7DhaLqawiENj8/vYFrMd/ucTarYL8DLHZ9O6q/m61Lzw2COiIici0zTqInxUmdJiekEj6eeAj78EMjIAO67r/pzpaHyDTfoA9cqpKDOml66Esg9WNG+xMPNRWXMJKNWEx9PN3XRZOYX44ZP16uODVIgKD3gpAjQ8GWqTXY6FcjJZKQvbx2I7i2DLD9BalIYzBERUdNx2WX6YM14r53sB+zcGXjxRf3twkLzlb1ynzRULjMqavjrL+DQocoRadJ0uYK01ZLGuzIOTOaqGjcUfui7bWreuARyH97Qz+KlTy0WXbxTP3Ncmt5Ll4dqgVrFcTK1QWbJypguar4YzBERUdMiS6nGy6kJCcC+fUBYWOU+vbfeqny8tBR47LHqr3PFFfpl26TKnnJo0wYICVEfv/vqW+QWleKNr1Zh+0kpGumlArkHvt2KJbtOqz1u0ox3ZJf67WGTXnMSqLWPrL60e3X/WFXx+sZVvRt8lis5HwZzRETUtMkSa58+poUVDz1keszDD1evwL3uOn0Vr1x+/ll/39Gj+ktBAcL8vdSl79aVeHfuqyhYGIEd8T1wSVYhLnNxQd/WwYh06a3f46e5804gXb8nrpqePRE8epK6Ghfqi3l3DEKrUPOTJV6aUH3kJTVfDOaIiIhkn1zVqtorr9RfhARgMu7MTKXtyBUL1UeftBT0S/u78hgZwpCXafqaixaZZvqMtWqFK1u6w//qXhjzxevweaKGJs9xccCzz1a2hKmtDYxkKH189Neln19mxfm4uwMRtc+rJefBYI6IiKguEuhJgYQZMx99H75LF8GjvEz1ebthUBw6RlVUS0RXKXqYPr16Tz4hrVTGjYNvXCwmyrjVsd/p26yYI73/tGDuhx+ASfpsnlnfflvZ+Hnx4srg1DhTqAV9M2dW3v/qq5V7BauS4FBGxGlkyXrPHv11f3/ggQcqN/8FBVUueUtBitbDUO6Tx6hBMJgjIiI6CzmBIfit10XwcndV7UM6dqwl41VT4HX33dWDO+PmysaMA0QJmsxU35o8XvVY4wIPbWqH9OgzDuZ+/VXfQNocCcKMgzkJEv/8s/K28X7E//0PeOEF/fWDB/Vj5YQsPT/9dM3nTVZhMEdERHQWLu4WjWNp+WqgfdU+cPX24IOWHXfTTfqLJSZO1Bd7yGXuXNNJH5JRMzZ5MjB2rPnX8fIyvS0VwMOHA6+9ps86GgeXspxrHEx6e1e/n86ai05mkJCJkydPolWrVjhx4gRiYzkShYiIyBmcbKa/v13tfQJEREREVH8M5oiIiIicGIM5IiIiIifGYI6IiIjIiTGYIyIiInJiDOaIiIiInBiDOSIiIiInxmCOiIiIyIkxmCMiIiJyYgzmiIiIiJwYgzkiIiIiJ8ZgjoiIiMiJMZgjIiIicmIM5oiIiIicmLu9T8ARlZeXq49JSUn2PhUiIiKyUFLF723t93hzwWDOjOTkZPVx4MCB9j4VIiIiqsfv8bi4ODQXLjqdTmfvk3A0paWl2Lp1K6KiouDqWn0lOicnB127dkVCQgICAgLsco7NDd/zxsf3vPHxPW98fM+b1nteXl6uArk+ffrA3b355KsYzNVDdnY2goKCkJWVhcDAQHufTrPA97zx8T1vfHzPGx/f88bH97zhsQCCiIiIyIkxmCMiIiJyYgzm6sHLywvPPfec+kiNg+954+N73vj4njc+vueNj+95w+OeOSIiIiInxswcERERkRNjMEdERETkxBjMERERETkxBnNERERETozBnJU++OADtGnTBt7e3hg0aBA2bNhg71NySKtWrcIll1yCFi1awMXFBT///LPJ41J387///Q8xMTHw8fHBqFGjcODAAZNj0tPTccMNN6imksHBwbj99tuRm5trcsyOHTswZMgQ9f1o1aoVZs6cWe1cvv/+e3Tu3Fkd06NHDyxevBhN0fTp0zFgwADVUT0yMhITJkzAvn37TI4pLCzEvffei7CwMPj7++OKK64wjK/THD9+HOPGjYOvr696nccee0xNRTH2zz//oG/fvqoarX379vjyyy+b5f8rH330EXr27Kl+RuUyePBgLFmyxPA432/bmzFjhvo35qGHHjLcx/e94T3//PPqfTa+yL+rGr7ndibVrGSZ7777Tufp6ambPXu2bvfu3bo777xTFxwcrEtOTrb3qTmcxYsX655++mndjz/+KNXSup9++snk8RkzZuiCgoJ0P//8s2779u26Sy+9VNe2bVtdQUGB4ZiLL75Y16tXL926det0//77r659+/a66667zvB4VlaWLioqSnfDDTfodu3apfv22291Pj4+ulmzZhmOWb16tc7NzU03c+ZMXUJCgu6ZZ57ReXh46Hbu3Klrai666CLdF198od6Lbdu26caOHauLi4vT5ebmGo6ZMmWKrlWrVrq//vpLt2nTJt0555yjO/fccw2Pl5aW6rp3764bNWqUbuvWrer7GB4erps2bZrhmMOHD+t8fX11U6dOVe/pe++9p97jpUuXNrv/V3799VfdokWLdPv379ft27dP99RTT6mfL/keCL7ftrVhwwZdmzZtdD179tQ9+OCDhvv5vje85557TtetWzddUlKS4ZKSkmJ4nO+5fTGYs8LAgQN19957r+F2WVmZrkWLFrrp06fb9bwcXdVgrry8XBcdHa177bXXDPdlZmbqvLy8VEAm5H9ked7GjRsNxyxZskTn4uKiO3XqlLr94Ycf6kJCQnRFRUWGY5544gldp06dDLevvvpq3bhx40zOZ9CgQbq77rpL19SdOXNGvYcrV640vMcSaHz//feGY/bs2aOOWbt2rbot/8C6urrqTp8+bTjmo48+0gUGBhre58cff1z9o27smmuuUcGkpjn/vyI/k5999hnfbxvLycnRdejQQbd8+XLdsGHDDMEc33fbBXPyx7U5fM/tj8usFiouLsbmzZvVcqDG1dVV3V67dq1dz83ZHDlyBKdPnzZ5L2VOn6TLtfdSPsrSav/+/Q3HyPHynq9fv95wzNChQ+Hp6Wk45qKLLlJLixkZGYZjjD+Pdkxz+J7J3EMRGhqqPsrPb0lJicn7IcskcXFxJu+7LEVHRUWZvF8yS3H37t0WvafN9f+VsrIyfPfdd8jLy1PLrXy/bUuW9GTJrup7w/fddmQrjGydiY+PV1tgZNlU8D23PwZzFkpNTVX/WBv/IAq5LYEJWU57v2p7L+Wj7Kkw5u7urgIT42PMvYbx56jpmKb+PSsvL1d7iM477zx0795d3SdfswS+EiTX9r7X9z2Vf5QLCgqa3f8rO3fuVHuEZI/PlClT8NNPP6Fr1658v21IguYtW7aofaJV8X23DfljW/avLV26VO0VlT/KZb9yTk4O33MH4G7vEyAi22Qtdu3ahf/++8/ep9LkderUCdu2bVOZ0B9++AGTJk3CypUr7X1aTdaJEyfw4IMPYvny5WoDPDWOMWPGGK5L0Y8Ed61bt8aCBQtUERvZFzNzFgoPD4ebm1u16hy5HR0dbbfzckba+1Xbeykfz5w5Y/K4VD1JhavxMeZew/hz1HRMU/6e3Xffffj999+xYsUKxMbGGu6Xr1mWKTIzM2t93+v7nko1p/yj3tz+X5GMhFTd9evXT2WKevXqhXfeeYfvt43IMpv82yAVj5Ktl4sEz++++666Llkavu+2J1m4jh074uDBg/xZdwAM5qz4B1v+sf7rr79MlrLktuyPIcu1bdtW/Y9n/F5KGl32wmnvpXyUfxjkH27N33//rd5z+YtQO0ZaoMheDY38tS6ZkpCQEMMxxp9HO6Ypfs+k1kQCOVnmk/dK3mdj8vPr4eFh8n7I/kLZ92L8vsuyoXEgLe+X/GMqS4eWvKfN/f8V+VqLior4ftvIyJEj1Xsm2VDtIntrZQ+Xdp3vu+1Jm6hDhw6p9lL8WXcA9q7AcCZSEi0Vl19++aWqtpw8ebIqiTauzqHKSjMpP5eL/Ji9+eab6vqxY8cMrUnkvfvll190O3bs0F122WVmW5P06dNHt379et1///2nKteMW5NIBZW0JrnppptUKwj5/khZe9XWJO7u7rrXX39dVVdJRVZTbU1y9913q3Yv//zzj0n7gPz8fJP2AdKu5O+//1btAwYPHqwuVdsHjB49WrU3kZYAERERZtsHPPbYY+o9/eCDD8y2D2gO/688+eSTqlr4yJEj6udYbkvF9bJly9TjfL8bh3E1q+D73vAeeeQR9W+L/KzLv6vSYkRai0jVvOB7bl8M5qwkfW/kB1b63EiJtPRAo+pWrFihgriql0mTJhnakzz77LMqGJP/MUeOHKn6dBlLS0tTwZu/v78qX7/11ltVkGhMetSdf/756jVatmypgsSqFixYoOvYsaP6nknZu/QFa4rMvd9ykd5zGgmW77nnHtU+Q/7RvPzyy1XAZ+zo0aO6MWPGqJ598o+1/CNeUlJS7fvbu3dv9Z7Gx8ebfI7m9P/KbbfdpmvdurX6GuUXk/wca4Gc4Pttn2CO73vDkxYhMTEx6uuUf2vl9sGDBw2P8z23Lxf5j72zg0RERERUP9wzR0REROTEGMwREREROTEGc0REREROjMEcERERkRNjMEdERETkxBjMERERETkxBnNERERETozBHBHZ3fDhw/HQQw+d1WscPXoULi4uaqSTrXz55Zfqc8ilrvNt06aN4diqMyuJiBqSe4O+GhFRPfz4449qtqMzkFmSMnfSz8+v1uM2btyIf//9F1dccUWjnRsRNU8M5ojI7kJDQ+EsJNMWHR1d53ERERFO9XURkfPiMisROdwyqyxRvvLKK7jtttsQEBCAuLg4fPLJJybP2bBhA/r06QNvb2/0798fW7durfa6u3btwpgxY+Dv74+oqCjcdNNNSE1NVY/9888/8PT0VNkzzcyZMxEZGYnk5GSbfr1ERA2JwRwROaQ33njDEKTdc889uPvuu9XypsjNzcX48ePRtWtXbN68Gc8//zweffRRk+fLPrULLrhABXybNm3C0qVLVZB29dVXmwSQEuBlZWWpz/Pss8/is88+U4EfEZGz4DIrETmksWPHqiBOPPHEE3jrrbewYsUKdOrUCd988w3Ky8vx+eefq8xct27dcPLkSRXwad5//30VyEmGTzN79my0atUK+/fvR8eOHfHSSy9h+fLlmDx5ssriTZo0CZdeeqldvl4iovpiZo6IHFLPnj2r7VM7c+aMur1nzx71uARymsGDB5s8f/v27Sr4kyVW7dK5c2f12KFDh9RHWWadN28eFi5ciMLCQhUwWkuCRePPcfz48Xp/zURE9cHMHBE5pKrVrRLQSTbOUrIUe8kll+DVV1+t9lhMTIzh+po1a9TH9PR0damrSrWqKVOmGJZuRYsWLax6PhHR2WIwR0ROp0uXLpg7d67KpmnZuXXr1pkc07dvX5Vxk2IKd3fz/9RJhu7hhx/Gp59+ivnz56tl1j///BOurpYvWkjFKqtWicieuMxKRE7n+uuvV5m6O++8EwkJCVi8eDFef/11k2PuvfdelWm77rrrVM83Cdz++OMP3HrrrSgrK1OXG2+8ERdddJG674svvsCOHTtU4QURkTNhMEdETkf2pv3222/YuXOnKnJ4+umnqy2nynLn6tWrVdA2evRo9OjRQ1WvBgcHq8zbyy+/jGPHjmHWrFmGpVdpf/LMM8+o/XZERM7CRafT6ex9EkREzkDGeUlAaOl4LullN2LECGRkZKggkojIFpiZIyKygvSkk8ygtEupjbRLkYbFRES2xswcEZGFcnJyDNMhJNMWHh5e47GyhFtSUqKux8fHW1VUQURkDQZzRERERE6MfyoSEREROTEGc0REREROjMEcERERkRNjMEdERETkxBjMERERETkxBnNERERETozBHBEREZETYzBHRERE5MQYzBERERHBef0/TKPPjJpzWKsAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.crude_monte_carlo\n",
"project.settings.minimum_samples = 10000\n",
"project.settings.maximum_samples = 50000\n",
"project.settings.variation_coefficient = 0.025\n",
"project.settings.save_realizations = True\n",
"project.settings.save_convergence = True\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()\n",
"project.design_point.plot_realizations()\n",
"project.design_point.plot_convergence()\n"
]
},
{
"cell_type": "markdown",
"id": "5f4751bd",
"metadata": {},
"source": [
"### Perform reliability calculations with Directional Sampling\n",
"\n",
"We now conduct the reliability analysis using the `directional_sampling` method."
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "51a2856e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability (Directional Sampling)\n",
" Reliability index = 3.068\n",
" Probability of failure = 0.001078\n",
" Convergence = 0.02748 (not converged)\n",
" Model runs = 111509\n",
"Alpha values:\n",
" t_p: alpha = -0.3346, x = 3.972\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1756, x = 3.39\n",
" h_crest: alpha = 0.006802, x = 9.999\n",
" h: alpha = -0.9258, x = 6.595\n",
"\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.directional_sampling\n",
"project.settings.minimum_directions = 10000\n",
"project.settings.maximum_directions = 20000\n",
"project.settings.variation_coefficient = 0.02\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()"
]
},
{
"cell_type": "markdown",
"id": "abb40858",
"metadata": {},
"source": [
"### Perform reliability calculations with Importance Sampling\n",
"\n",
"We now conduct the reliability analysis using the `importance_sampling` assuming the start value of $u=1$ for the three random variables:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "cfc56e68",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability:\n",
" Reliability index = 3.072\n",
" Probability of failure = 0.001063\n",
" Convergence = 0.02342 (not converged)\n",
" Model runs = 100001\n",
"Alpha values:\n",
" t_p: alpha = -0.3346, x = 3.973\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1721, x = 3.379\n",
" h_crest: alpha = 0.009329, x = 9.998\n",
" h: alpha = -0.9265, x = 6.613\n",
"\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.importance_sampling\n",
"project.settings.minimum_samples = 1000\n",
"project.settings.maximum_samples = 100000\n",
"project.settings.variation_coefficient = 0.02\n",
"\n",
"project.settings.stochast_settings[\"t_p\"].start_value = 1\n",
"project.settings.stochast_settings[\"h_s\"].start_value = 1\n",
"project.settings.stochast_settings[\"h\"].start_value = 1\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()\n",
"\n",
"#reset values\n",
"project.settings.stochast_settings[\"t_p\"].start_value = 0\n",
"project.settings.stochast_settings[\"h_s\"].start_value = 0\n",
"project.settings.stochast_settings[\"h\"].start_value = 0"
]
},
{
"cell_type": "markdown",
"id": "05c9d58c",
"metadata": {},
"source": [
"### Perform reliability calculations with Adaptive Importance Sampling\n",
"\n",
"We now conduct the reliability analysis using the `adaptive_importance_sampling` method."
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "d78aa49e",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability:\n",
" Reliability index = 3.069\n",
" Probability of failure = 0.001072\n",
" Convergence = 0.02 (converged)\n",
" Model runs = 50976\n",
"Alpha values:\n",
" t_p: alpha = -0.3317, x = 3.961\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1642, x = 3.352\n",
" h_crest: alpha = 0.01283, x = 9.998\n",
" h: alpha = -0.9289, x = 6.63\n",
"\n",
"Contributing design points:\n",
" Reliability (Variance loop 1)\n",
" Reliability index = 3.074\n",
" Probability of failure = 0.001057\n",
" Convergence = 0.1529 (not converged)\n",
" Model runs = 10001\n",
" Alpha values:\n",
" t_p: alpha = -0.3606, x = 4.079\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.2178, x = 3.537\n",
" h_crest: alpha = -0.02189, x = 10\n",
" h: alpha = -0.9066, x = 6.429\n",
"\n",
" Reliability (Variance loop 2)\n",
" Reliability index = 3.07\n",
" Probability of failure = 0.001069\n",
" Convergence = 0.04657 (not converged)\n",
" Model runs = 10001\n",
" Alpha values:\n",
" t_p: alpha = -0.3252, x = 3.935\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1697, x = 3.37\n",
" h_crest: alpha = 0.01776, x = 9.997\n",
" h: alpha = -0.9301, x = 6.644\n",
"\n",
" Reliability (Variance loop 3)\n",
" Reliability index = 3.066\n",
" Probability of failure = 0.001084\n",
" Convergence = 0.04522 (not converged)\n",
" Model runs = 10001\n",
" Alpha values:\n",
" t_p: alpha = -0.3276, x = 3.943\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1658, x = 3.357\n",
" h_crest: alpha = 0.01809, x = 9.997\n",
" h: alpha = -0.93, x = 6.63\n",
"\n",
" Reliability (Variance loop 4)\n",
" Reliability index = 3.065\n",
" Probability of failure = 0.001089\n",
" Convergence = 0.04522 (not converged)\n",
" Model runs = 10001\n",
" Alpha values:\n",
" t_p: alpha = -0.3279, x = 3.944\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1646, x = 3.352\n",
" h_crest: alpha = 0.01749, x = 9.997\n",
" h: alpha = -0.9301, x = 6.628\n",
"\n",
" Reliability (Variance loop 5)\n",
" Reliability index = 3.065\n",
" Probability of failure = 0.001087\n",
" Convergence = 0.04526 (not converged)\n",
" Model runs = 10001\n",
" Alpha values:\n",
" t_p: alpha = -0.3273, x = 3.942\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1649, x = 3.353\n",
" h_crest: alpha = 0.0173, x = 9.997\n",
" h: alpha = -0.9303, x = 6.631\n",
"\n",
" Reliability (Variance loop 6)\n",
" Reliability index = 3.065\n",
" Probability of failure = 0.001089\n",
" Convergence = 0.04525 (not converged)\n",
" Model runs = 10001\n",
" Alpha values:\n",
" t_p: alpha = -0.3276, x = 3.943\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1647, x = 3.353\n",
" h_crest: alpha = 0.01697, x = 9.997\n",
" h: alpha = -0.9302, x = 6.628\n",
"\n",
" Reliability (Variance loop 7)\n",
" Reliability index = 3.065\n",
" Probability of failure = 0.001088\n",
" Convergence = 0.04527 (not converged)\n",
" Model runs = 10001\n",
" Alpha values:\n",
" t_p: alpha = -0.3276, x = 3.943\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1649, x = 3.354\n",
" h_crest: alpha = 0.01729, x = 9.997\n",
" h: alpha = -0.9302, x = 6.629\n",
"\n",
" Reliability (Variance loop 8)\n",
" Reliability index = 3.064\n",
" Probability of failure = 0.00109\n",
" Convergence = 0.04524 (not converged)\n",
" Model runs = 10001\n",
" Alpha values:\n",
" t_p: alpha = -0.3274, x = 3.942\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1646, x = 3.352\n",
" h_crest: alpha = 0.01697, x = 9.997\n",
" h: alpha = -0.9303, x = 6.628\n",
"\n",
" Reliability (Variance loop 9)\n",
" Reliability index = 3.065\n",
" Probability of failure = 0.001087\n",
" Convergence = 0.04529 (not converged)\n",
" Model runs = 10001\n",
" Alpha values:\n",
" t_p: alpha = -0.3273, x = 3.942\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1654, x = 3.355\n",
" h_crest: alpha = 0.01726, x = 9.997\n",
" h: alpha = -0.9302, x = 6.629\n",
"\n"
]
},
{
"data": {
"image/png": 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ERIbHMCQiIsNjGBIRkeExDImIyPAYhkREZHgMQyIiMjyGIRERGR7DkIiIDI9hSEREhscwJCIiw2MYEhGR4TEMiYjI8BiGRERkeAxDIiIyPIYhEREZHsOQiIgMj2FIRESGxzAkIiLDYxgSEZHhMQyJiMjwGIZERGR4DEMiIjI8hiERERkew5CIiAyPYUhERIbHMCQiIsNjGBIRkeExDImIyPAYhkREZHgMQyIiMjyGIRERGR7DkIiIDM9PdwFE3qIkNxclWVkozspCSXaO+ntJdtY/38vORklW9r/f+/fPvDyYLGbA4geTn3xZAIsFJv8AmIMCYQ4JgSk4WP1pDglVf/rFRMMvMQl+CfEwmUy67zKRYTAMif5lLSlB0aFDKNi3DwV701C4L039Kf8uTEtDSU6O22ox+fvDr149+Ccmwj8pEX7yZ/1//v7P95JgDg11Wz1Evs5ktVqtuosgcqfizEzkbtiIgt27UZCWpoJO/XngAKwFBfAW5ogIBKSmIqh1awS1aYOgNmcjqHlzFaREVDMMQ/Jp8vSW0MtdswY5a9Ygd81aFOzaJT/QXZpLmAICENiyJYIlGM+WgGyDwKZnwWSx6C6NyKMxDMnn5vVy161H7tq1KgBz161D8cmTMDJTSAiCWrZUnWNw23YI7dkDfrGxussi8igMQ/JqJQUFyFm5Elk/r0DuX38hb9s2oKhId1mezWxWHWNYv74I69tXDbNysQ4ZHcOQvE7RiRPIWvYTTv+4FNm//garGxe2+CK/+HiE9u2jgjGsZ08uzCFDYhiSVyg8eBCnFn+L0999h9z164GSEt0l+SRZfBPSpUtp1xjQsKHukojcgmFIHh+Ap75djLz1G3x20YsnC2jSBBHDhyFq1Ci1nYPIVzEMyaPIRvVTX3+Nkx99/E8HyKenZzCZENK1KyJHjULE4EHqBAFEvoRhSB6hYM8eZLz/AU5+/jlKMjN1l0NVkCAMHzwYUePHIaRDB93lEDkFw5C0sRYX4/TSpTj5/vvI/m0lu0AvFNiiBaIuHo/IC0fCEsaFN+S9GIbkdkXHjiHj44/VUGjR4cO6yyEndYsRw4Yh+orLEdSihe5yiGqMYUhuk73qd2S8/z5O//ADUFiouxxykbD+/RE3ZTKC27bVXQqRwxiG5HKnly3D8XnPIu/vv3WXQm4U2rs34iZPRkhHziuS52MYkstkr1yJY8/MVadGI+MK6d5dhWJot666SyGqFMOQnE5OiC0hmLNqle5SyIMEd+6kQjGsVy/dpRCdgWFITpO7aROOzZ2L7OU/6y6FPFhw+/aInXwjwvv1010KUSmGIdVZ/vbtODbvWZz+/ntujyCHBbVti/r33I3gc87RXQoRw5BqTz4BXkJQzhjDc4VSrZhMiBwzGgnTp8MvJkZ3NejXrx/OOeccPPPMM/BFV155JVq1aoW7777brbc7c+ZMZGdn49lnn4WnMusugLyPtbAQx196CbuGj8CphQsZhFR7VisyP/kUO4degPT33oOVz6UaWbZsmfr4rZMOfGbnunXr8M0332Dq1Kml35Ne6H//+x8SExMRHByM888/H9u3b6/yOO+++y5SU1MRHR2NadOmlfvZnj170Lx5c5w6darc9++44w689dZb2CUfrO2hGIZUIzmr12D3mDFqgYw1P193OeQj5BR8R2Y/gD0XjTPM6uPi4mKUuDH8pSsbN24cwsLCSr/32GOPYd68eXjppZewatUqhIaGYvDgwcjLy7N7jOPHj+P666/HE088ge+++w7z58/HV199VfrzKVOm4JFHHkFERES568XFxanjvvjii/BUDENySPHp0zh03yzsvfxy5G/fobsc8lGyF3XPpZfh4N33oCg9XUsNElB33XUXYmJiUL9+fcyaNcvh60qHdsMNN6BevXoICgpCmzZtSsPizTffRFRUFL788ku0bt0agYGBSEtLQ35+vuqckpOTVRh169ZNdXw2e/fuxYgRI1QnJj8/++yzVYcnXVj//v3VZeRn0iFeffXVlQbvggUL1HHKdoUyHHzvvfdi5MiRaNeuHd5++20cPHgQn3/+ud3jSGcXGRmJiy++GF26dFG3v3nzZvWz999/H/7+/hgzZozd68ptf/DBB/BUfroLIM93atEiHH7oIRQfO667FDLK0Omnn6oFWfFTpyL60ktgsljcdvMynCfDf9Ip/fbbbypgevXqhYEDB1YbokOHDsXp06dVx3TWWWfh77//hqVM7Tk5OXj00Ufx2muvITY2FgkJCbj55pvV5SQokpKS8Nlnn2HIkCHYsGEDmjVrhptuugkFBQVYvny5CkO5rHR3MlT5ySefYOzYsdi6davqxmSo057169cjMzMTnTt3Lv3e7t27cfjwYTU0aiNBJ2Es9/uSSy5BRVKP3Ic1a9agYcOG+OOPP3DttdciIyMD//3vf/Hjjz+iMl27dsX+/ftViDdq1AiehmFIlSo8cACHZz+ArJ9+0l0KGVDJqVM4MmcOTn7yCRLvn4Xgdu3ccrvSId13332lL/7PPfccfvjhh2rD8Pvvv8fvv/+uOiWZNxNNmjQpd5nCwkK88MILaN++vfq3dIZvvPGG+lOCUEiXuHjxYvX9hx56SP1MAq/tv6e3K3tM6V6FhKp0nZWR7lJCWS5nI0EopIstS/5t+1lF0oHKm4UJEyYgNzdX/SnDn9ddd50KdQnYCy+8UN1P6agvuuii0uva7p/UwjAkr/k0ifS338GxZ5+FNSdHdzlkcPmbN2PPZZcj/uabEDtpEkxms8vDsCxZXHL06NFqr7d27VqkpKSUBqE9AQEB5Y4v3Z8MYVa8jgydSucoZMHL5MmT1RyddHESjBVrrI4ElwzLylBqXY0ePVp92fz000+q85Q5yaZNm6rhUhlelk6wT58+pQFs61qls/REnDOkM/YM7hk3HkcffZRBSJ6jqEgt2kq7+hoUuviTTmTeqywJEEcWulQ2RFnxMmUDKSsrS3Vsf/31lwpT25d0l3PnzlWXkQUrMlcn2yIkPGWos6ZbFGQBi4SQDLfaSGCJI0eOlLus/Nv2s+pIaMuimZdffhk7duxAUVER+vbtixYtWqiAl6Fmm/R/54Dj4+PhiRiGVCrjgw+xe9x4nlCbPFbO779j98hROLVkCTyNdGsyJ7Zt2zaHr9OhQwfVGUrnKV1V2a+ygSTzgzfeeCM+/fRTTJ8+Ha+++mpppynkGFWRvZNC5httGjdurG5DhoBtZEuEBFiPHj3giDlz5qj5zY4dO6oaJAxtZKi0bF0bN25UbzRkAZAnYhgSik+dwv5bb8PhWbNgrWRJNZGnKM7MxIFbpqrVzSWanq+yOf+2224r9z3piGRYUIYxlyxZoubPFi1apOb/KiPd0+WXX67m3iTo5Doy7/jwww/jazmZBaBu59tvv1XDjg8++KBapCIb54UsYpFOU1asHjt2THWa9kg3JoG1YsWK0u/J9eTYEmhffvml6jqlDpnbGzVqVOnlZCHNk08+ecYxJVg//PBDzJ49W/27ZcuWMJvNeP3111XtW7ZsUStObX7++Wf07t3boQ5aB84ZGpzs6Tow/Q61WIbIm5z88EPk/Pknkp98AkEtW8ITyOpOWQBz6aWXqjOuSIcn++6qIgtlJJCk4ztw4IAa0uzevTuGDx+ufi7dlaxoleFLWYkpndjTTz+ttnDIoh0ZZr3mmmvUVgkJMVmNao8Mt0ottvCaMWOG2kIidU6aNEmtCJV5xZUrV6ptITay9UJCXq4vq02F3JZc56mnnlIrXIWEnGwfkdWvMnwqC49ku4iNrJatyTYVd+Pp2AzsxP+9gaNPPaXmY4i8lSkgAAl3TEfMhAk+e9o2WTgjX3JaM5tXXnlFdWMNGjRQ83ESNDLfKN1l2e0cNtJxSsjKXKTsc5Swle/JKtWioiLVxckxy3ZzNvI9CWQJutqQDlnCXhba+Pl5Zg/GYVIDKs7KVsOiRx97jEFIXs9aUIAjDz2MtBtuQNGJEx6/OV/6D7mshJh0YjIsWfYUaRXJ8OfSpUvLbZgX0plJxybbFGQIVLrLffv2qe7RHvm+hKdc/rzzzlNznDKUKR5//HF1LHtB6IwN89J9SgfsqUEo2BkaTP6OHdh/y1QU7N6tuxQip/OrVw8pLzyPYBcs0pBzcsrQpG2rgoShLAiRL9njd+jQITW3V91+RDkTjOzLk3CRxSSyp0/OGzpx4kS7l5dhT1lJKotbZE6usrCR4cwvvvhCBZxtYU1ZskJVTh4g3aO87Etn++uvv6rLDh06VK1oDQ8Pt3t8mfeUs9RIDRLgvoidoYFkfv01do+/mEFIPqvoyBHsveJKnFr8rdOPLZvJbVsfZHtDp06d1CISCTIJFfle2ZWZlZFN9NJJyrCndIeyMKayILRtUpeN8PaCUDbwy9lo5EuGImXhjr0gFLLoRjbxS1gPGjRILdKR70nAP/bYYyrI5fRxssJVznZTlnSvsi2jss34vsBze1ZyqmPPPofjzz+vuwwil7Pm5uLA7bcjf9fNiJ8yxWnHla7J1jnJYhHp6mSBTE0358vJsmWuUc4kI4thLrjgAjUMWdkQonShZRe0lCUrUSXcpCuVk2ePHz8ev/zyS6WXl+0Z8mUjZ5OR+9SjRw+1N1BOrybbQ2QFqcw92rpAT98w7wzsDA1wNplD//0fg5CMxWrF8XnPqpXSJS76dJXabs6XPYNyLlHp6iRkZNO6zNfJvjx7ZHWprPS0R1Z3yinj5Poy/CpDpJWtJrX3CRT333+/2sC/atUqtc1DjiUn35Zayu6X9PQN887AMPRhsgdL5gdPfvyx7lKItMjeshHpH08EcvR8AkZlJASlG5SPT5JPqJATY8s+P3tk2FKGJysLRBuZB5Qv2dbgiNtvv119ySnkiouLy4WxrC6tuGFeLifB7Ks4TOqjik+exL4bJxvms+GIKjLHxiBoUCHidnwBvL4JuHwBENNYd1lqL54EjXw6REhIiPqECwlH2UBfWRhKCMnwp23voZyeTTa8y9yfdGsytCl7COU4MuxaHZlblM5PhklFly5dVFcp846yIlW2ZsiwadkN83Jbvoxh6INkA33axEko8OBPlSZyJVNwECzj6qFBxr8LWk7sAF4fBFz2IZDcUWttsvJUgks+JkpCUfb5LVy4sPTE3BXZNtXLalZbGMqcoASUzD1KxygLbGSoVBbylP1kisrmIOUTJiRMbYtyUlJS1HCp3I7ME0pI2uYJ5YN+5fMNqzqTji/g1gofk7d1K/ZNnIQiBybyiXySvMBf2xGtsr4882f+ocC4N4Hm3tXlyDCpLNhZvXp1pR2kq7z44otqHlI+NcOXcc7Qh2Sv+l0tK2cQkqGN72Y/CEVhNvDBpcD6j+BNZCuGnPNTtmW4m7+/f40/JcMbsTP0oU+jPzhjpjobB5FRmQd3QZO4RfAvrub/gckMjHoRaH/mp7k7c3N+RdLVbdq0yem3SXXHMPQBGR99hMP3zVLLyYmMytKlDRLP/gPheVWvuiwXiCOfB865zKl1nD59+ozPCCzbZbl7mJMcwzD0cplffY2Dd90lJ0rUXQqRNpazGiG6/wHEZ+2t2RUlEC98FuhwhatKIy/BOUMvdnrpjzgoZ7FnEJKBmeNiEXp+bs2DUFhLgC9uBla/7YrSyIswDL1U9sqV6pRT/NQJMjJTcDACLopDcuaaOhzFCiy81esW1ZBzMQy9UO66ddg/5SZYXXSaKSKvYDbDdHlrND75Y92PJR3i55OBzQudURl5Ic4Zepm8rduwd8IElGRm6i6FSCvTJd3REp8696CWAODS94Gm5zv3uOTx2Bl6kYK9e5F2/XUMQjI885AuOMvsgi5OtmR8cAWw5xfnH5s8GsPQSxQeOoS0a65F8bHjuksh0sqvaxuk1FsG/xL7n/JQZ0W5wHsXA4c3uub45JEYhl6g6MQJFYSFBw/qLoVIK0vTRohptxmh+S4eHSk4/U8gnra/X5B8D8PQw5Xk5CDt+oko2LNHdylEWpnj4xA+IAuxWfvcc4On9gPvXwwU+O4H2tL/xzD0cAfvvgf5mzfrLoNI+xaKwDHRSDy13r03fHAN8Nkknt3JABiGHuzE66/jtI9/bApRtcxmWC5riUaZP+m5fdlu8f0sPbdNbsMw9FDZv/6Ko089rbsMIu3M47ugWfbX2m7fGhCKF3ZE47M1+7XVQK7HD/f10A/nPTBtOlBcrLsUIq0sQ7uiiWyh0HTGwaLwFNyCu7BobxwCD2xA0/hwtE2J1FMMuRQ7Qw9Tkp+P/bdMRfHJk7pLIdLKr1tbJMcvhV+JnlMOnk7ojMHZ92PRsTj17/yiEtzwzp84kcUzP/kihqGHOfy/+5D399+6yyDSyq9ZY8S12YTQglNabn9Xymh0P3AbduYEl/v+wcw8THl3NYqKeXJ8X8Mw9CDp899F5hdf6C6DSCtzQhwi+mUiOtv9c3RWkwXfpUzFgB3jkF1s/+Vx1e50PPAV37D6Goahh8j5808cefRR3WUQaWUKCUHIqAjUO+3+s79YAyPwZNwDmLSje7WXfeu3vfh202G31EXuwRN1e4DCI0ewe+xFKD7OU62RgVksCLyqLZrkfOP2my6MbIyJhXdgWXq0w9eJDQ3A4tv6ID480KW1kXuwM9TMWlKCA7dPYxCS4fmN76wlCE/W74n+mf+rURCKE9kF+M+nbj4JALkMw9ADNtbnrl6tuwwirfxkCwW+dPvtbkm9GN3SpmB/Xu26u+83H8WHf6Q5vS5yP4ahRnnbtuH4s8/pLoNIK7/u7ZAc/z0sVvftq7Wa/fBF8h0Ysn0k8kvq9jL4wFebsS+d5y/1dgxDTayFhTg4YyasBQW6SyHSxq95E8S3Wo+Qgiy33WZJUDTmRD+IW3d2dMrxsvKLMO2jtSgp4fILb8Yw1OTYCy/wBNxkaJaEeET2OYGoXPd9NFl+dHNcbnoIrx9Idepx/9iTgVd+3uXUY5J7MQw1yN2wESdeeVV3GUTamEJDETIyFAlZ7ntDeDypH/qm343fMlxzOrWnvtuGzYf0nCSA6o5hqGF49NC99/K8o2RcFguCLj4LKad/ddtNrku9Et12X4/D+QEuu42C4hLc/uFaFBTx7DTeiGGoYfVo/tatussg0sZ/fCc0ynHPR5NZLYF4P+k/GLl9KIqtrn+523L4NJ5ass3lt0POx033bpS/axd2jxrNRTNkWP5Du6BJ1EKYra7vnkpC4nFv4Ey8dygR7mQ2AZ9M7okODWq2b5H0YmfoJvKe49B//8cgJMPy794OKbHfuyUIc2PPxkXFD7o9CIUsKr1/4d/q/zx5D4ahm5z88EPk/vWX7jKItPBr0QQJrdYiqCjb5bd1OHkgzj12F1ZnhkGXtftO4vO1B7TdPtUcw9ANik+fxrFn5uoug0gLS70ExJx7HBG5rj+x9arU69Fj19U4UeAP3R5bvBW5BVwo5y0Yhm5w4pVX+GG9ZNgtFOEjAhGbvcWlt2P1C8brif/FxdsHwGo1wRMcyszDSz/t1F0GOYhh6GKFhw4h/e13dJdB5H4WC0LGN0Zi1iqX3kxxWCJuD30YD+xuBU/zyvJdOJSZq7sMcgDD0MWOzZ0Ha36+7jKI3C7w4o5okPudS28jO/4cDM97AJ8fSYAnyi0sxqOLXNsVk3MwDF0ob8sWZH7p/jPxE+kWcEEXNC5x7XN/X8pwdD80DZuzQuDJvlh3EGvSMnSXQdVgGLrQ0cefAEp4NgoyloAe7ZAS/R1McM3WAitM+Cl1MnrvuAyni/zg6WSHxeyv/tZdBlWDYegiWb/8guxfftFdBpFb+bc4C/Va/IXAYtfMk1kDQvFcwmxctb03vMmatJP4glstPBrD0EWfXn/0iSd1l0HkVpb6CYjpeQhhecdccvyiiFRMDnwET6adBW8kc4d5hdxq4akYhi4g84T8eCYyElNYKCKHByAmd4dLjn8qoQsGZd2Pxcdi4a0OZubhNX7Mk8diGDpZSX4+js2bp7sMIvfx80PYuIaol/W7Sw6/K3UMuh2Yil05QfB2//fLHnaHHoph6GQZ899F0cFDussgcpvg8ecgJfd7px/XarJgccqtGLD9IuQWW+AL0rML8NGf+3SXQXYwDJ1ITsJ94s03dJdB5DaBw7qgYclCpx/XGhiJx+IewI07usHXvPrzLhTL2bzJozAMnSjzm29QfOy47jKI3CKgZzukRC52+haKwsgmuNrvIby4rxF80b70XHy9gaNHnoZh6ETpb72tuwQit/BvdRbqN/0DASXOPbtSRv1e6J/5X/x0wrc/C/CV5TxnqadhGDpJ9spVXEFKhmBJrIe47gcQWnDCqcf9O/VSdE+bjP15gfB1Gw+cwortHEXyJAxDJ0l/6y3dJRC5nDk8DFFDzYjKdd4WAavZH58m34kLto9AfolxXpJe9uLu8IcffkCrVq1QXOx5K2P//vtvpKSkIDu7Zp+daZxnngsV7NmDrGXLdJdB5Fp+fggfm4qEHOd9SHVJcAzuj3oQ03Z2gNH8vP04Nh3MdNrx+vXrh9tuuw3ucNddd+Hee++FxfLPKt9Dhw7hsssuQ/PmzWE2m+3WsWnTJowdOxaNGjWCyWTCM888U+3t7NmzB3369EFoaKj6U/5d1vDhw/HJJ5+U+17r1q3RvXt3PPXUUzW6TwxDJ1Af0SQnICTyYSHj2iMp7wenHS8/ugUutT6ENw+mwKhe/sn7NuGvWLECO3fuVMFmk5+fj/j4eBWQ7du3t3u9nJwcNGnSBI888gjq16/v0G1Nnz4dycnJWLt2LRITE3HHHXeU/uzDDz9UwVu2DptrrrkGL774IoqKihy+XwzDOirOzMTJzz/XXQaRSwUP74yGVudtoTiW1B+90+/GqpMRMLJvNhzCvvScOh/n6quvxk8//YS5c+eqrku+KnZRFS1btkxd7uuvv0a7du0QFBSkOqqNGzdWeb0PPvgAAwcOVJe3kW5PbnvChAmIjIy0e70uXbrg8ccfxyWXXILAQMfmhTdv3oyrrroKzZo1U/dR/i1Onjypgvf555+3ez2pLz09XT0mjmIY1lHGRx/BmlP3JzORpwrs2R7JEYuddrw1Da5C993X4Wi+P4yuqMSK11fsrvNxJIh69OiBiRMnqiFL+UpNTXXounfeeSeefPJJ/PHHH6q7GzFiBAoLCyu9/M8//4zOnTvDHaTL/P7771FSUoLvvvtOhbat5ptuuqnS+xgQEIBzzjlH1eoohmEdWIuKkPHue7rLIHIZ/1ZNUf+slfAvKajzsayWQLybdDdGbxuMYitfemzkjDTZ+Y4P59kj3ZgEQEhIiBqClC/bfF517rvvPtVJtW3bFm+99RaOHDmCzz77rNLL7927F0lJSXCHJ554Alu2bFGd5/bt29W/ly9froZNpQsdP368Gnq98cYbUVBQ/jkqNUqtjuIzsg5OLf4WRYcP6y6DyGVbKBK67kVIYd0/mLYkJB4zIx7GPbvaOKU2X5JTUKyGS3WRjtImJiYGLVq0KB2OtCc3N7fcEKkryXzhV199hbS0NPVnXFwcpkyZgpdeeglz5sxBeHg4tm7dqoLy5ZdfLnfd4OBgNU/pKIZhHZz84APdJRC5bAtFzFAgIt/xd9aVyY1tgzFFD+LDQ44tmjCij//aD28RFxeHjIy6v0GqjYceegiDBg1Cp06d1JynLJ7x9/fHmDFj1L/LkjlDGfZ1lOd/TLSHKjxyBDl/OW+JOZHH8PND5NgkxOXUfbvQoeTBuCDtcmQU8qWmKn/sSUfaiRw0iA2p9TFkmLQ2+/5WrlyJBg0aqL9LyG3btk3tIaxMhw4d1F4+d5Nu9b333lNDpELuq21uU/6seN9lIdBFF13k8PHZGdbSqW8WcTsF+aSwcW1RP69uQWiFCStTJ6LnrgkMQgfIS8mC1XXrDmVebdWqVWoV6fHjx9WiE0fMnj1bbaKX8JAVm9L5jRo1qtLLDx48WG2vqEhCSr6ysrJw7Ngx9feyoSlzerbLyN8PHDig/r5jR/WfgWm1WjFp0iQ8/fTTas+h6NWrF1599VUVkm+//bb6t408BnL8888/H44yWeVWqMZ2XzQOedUsQSbyxi0UjcK+rNMxrP4heD32TszZ08JpdRlBclQwVszor7Y71IZ0dLINYd26dWpeb/fu3SogKyPDiv3798fChQsxc+ZMNe8mKzAlYGyrNu2R4Ufb3j+ZX7SxV3fDhg1Lt3jIn40bNz7jMn379j1jiLMimQ9csmQJFixYUPq9o0ePqo3+v//+O4YMGYI333xTLSASDz/8sNpWsXix46ugGYa1UJCWhp2DBusug8ipgnq1R0qD7+FvrXxZfXWKw5IwzXIXvjiS4NTajOKDSd3RvUmsW27LFoYyNBoVFVWj68rWhlOnTp2xaMUTSNcp+xJlSLVst1gdDpPWwqlvvtFdApFTBbRuisTGv9YpCLPjz8GwvNkMwjpYuO4gvME999yjuj5Hh2LdSVae3n333TUKQsHOsBZ2jbgQ+du36y6DyCn8kuqj/sBjCM+v/Sewp6WMwNA945Fd5BufSK9LbGgAVt19Hvwsde9TZO/d/Pnz7f7siiuuUGeCqW1n6IsYhjUkIShhSOQLzOHhSBgbiOi89bW6vtVkxrKUybhme83ehVPl3rq2K/o2d3xLQGVkTk2GMu2JiIhAQgI7+LK4zKuGMr/+WncJRM7h54fo0QmIznP8lFVlWQPC8Fz0DDy5/Synl2b0oVJnhKGEHQPPcZwzrKFTixbpLoHIKSLGnY2EgtoFYVFEA9wQ8Aie3MsgdLZvNx1GQZHnzcX5OoZhDeRu2IjCvWm6yyCqs9DhnZFsrd0bu1P1umFQ1ix8dzzG6XURcDqvCL/uPK67DMNhGNYAV5GSLwg6tz2Swmv3XN6ROhbd9t+MXTnuOTelUf2yg2HobpwzrIGspUt1l0BUJwFnN0NSo1/gV4MPPRVWkwWLk2/B5O1dXVYb/X8rdpzQXYLhsDN0UOGBAyiowceBEHkav5RE1O+0A4FF9lcYVsYaGInH4uZg8g4GobtsOXwKJ7LydZdhKAxDB2X/9pvuEohqzSxL6c/LQ2jBgRpdryCqCa6yPIwX9zV0WW10Jtnw9stOdofuxDB0UPavDEPyUn5+iB0Vh8j8TTW6Wnr9c9H/5H+xPJ0bsnX4lfOGbsU5QwfIeQmyV67UXQZRrUSNa424AsdPWCw2pV6KUTuHo7CkdieNprpbwTB0K3aGDsjfsgXF6em6yyCqsfARnZFodTwIrWZ/fJp8J4ZtH8Eg1Gx/Ri72nsjWXYZhMAwdkPP777pLIKqxkN7tkRjq+BmTSoJjMSvqIUzb2cGldZHj2B26D8PQATl/8hPtybsEnt0MiQ1+hgWOffJ5fkwLXGJ9EG8dTHZ5beQ47jd0H84ZOiBn9WrdJRA5zC8lCYkdtyOgMMuhyx9LGoBhB67C0Xx/l9dGNfPbzhMoKbHCbOaQtauxM6xG/q7dKD7BJc7kHcyREah/XjaCCx37XLzVDa5G993XMgg9VEZOITYdrNm+UKodhmE1cv76U3cJRA4x+fsj/sIYhOdvrvayVksg5ifdgzHbBqHYypcBT/bbLg6VugOHSauRy/lC8hIxY1sipvDbai9XHJqAmf4z8fGu+m6pi+pm86HTukswBIZhNXI3btRdAlG1IkZ0RAK+qvZyuXFtcPGpqVh/IswtdVHdbTnMMHQHhmEVrIWFPB8pebzQPucgKewbwFr15Q4mD8GwtMuQUcj/9t5k59EsFBWXwM/C4WxX4qNbhYI9e4Aant2fyJ0C2zZHYsoymKyVfxisFSb8mjoJvXZdySD0QgXFJdh9nJvvXY1hWIX8nTt1l0BUKf+UJCS13wL/kpxKL2P1D8Gr9e/DZdv7wWrl8nxvtfUIh0pdjWFYhfwdDEPy4C0UA04jqOhwpZcpCk/G1OCH8dCe5m6tjZxvK+cNXY5jJlXI37lDdwlEdrdQ1BsRgbCCyk8TmBXfEWPSb8K27GC31kauwUU0rscwrELBzl26SyA6Q+zYZogq+r7Sn+9NuRAX7BmH7CKLW+si19nGYVKX4zBpJazFxf8soCHyIFEjOiAe9oPQajJjaerN6LvjEgahj0lLz0FOARfzuRLDsBIFaWmwFhToLoOoVFif9qgf+o3dn1kDwjA3fjau3d7T7XWRez75ftsRx841S7XDMKxEAVeSkgcJatscScnLYLKzmbAwoiEmBTyCZ9KaaKmN3GPrYZ6j1JU4Z1gJriQlT+Gfmoyk9ptgKco942eZ9bpj5NFJ2JMbpKU2cp+th9kZuhLDsBLcY0iewBwZicS+GQgsOnbGz7anXoQLd41EbjHnB42An3rvWhwmrQQXz5BupoAAJI4IRWhR+S0+VrMfvk65HQO3j2EQGsjxbK5hcCV2hpUoOs6PTSG9EkafhYiiH8p9ryQoCo+GzcTLOxpoq4v0OJGVr7sEn8YwrERxRobuEsjAokecgxhT+ZWjBVFn4dqCO7Bif6S2ukifE1nsDF2JYWhHSW4urHl5ussggwpXWygWlfteemJvDDt0HQ7lBWiri/TKLSxWew1DAviy7QqcM7SDXSHpEtyuBZKSlqrPmrDZmHoZuu29kUFIOH6a3aGrMAztKD55UncJZED+DZKR3HY9zPhnbshqCcCCpBkYvn04Ckv4iRMki2g4b+gq7LftKGJnSG5miYpESp/j8C86of5dEhyHWcEz8fauJN2lkQfhvKHrMAztKM5gZ0ju3UKRNCwYQUWb1b/zYlriiuzb8efBcN2lkYfhilLXYRjawTlDchuTCfVGN0ZY8Y/qn0eTzsOw/RNwrMBfd2XkgU5wr6HLMAztYBiSu8QOb4do0z8rR/9KvQYX7Tifn0hPlTrOztBluIDGjuKTDENyvYi+7ZEQughWvyC8nXgvxm4fyCCkKh3nnKHLsDO0gwtoyNVC2ssWih9QHFIPM/xnYsHuerpLIi+QztWkLsMwtINbK8iVAhqmILn1GuTGtsDFmVOx4USo7pLIS+QWFOsuwWcxDO2w5vHdF7mGJToKKecewZH6PXBB2qXILOR/QXJcccmZn2dJzsH/ifaYOG9DzmcKDETyBYH4M6k3Lt/eV3c55IWKGIYuwzC0x8wwJCczmZAwuineieuFR7Y3110NeSl2hq7DMLTDZOIiW3KusJE98L/wPvhqb5zuUsiLMQxdh2Foj5lhSM5T0r8Prg0dhO3HgnSXQl6OYeg6DEN7OGdITmTeexBz97+juwzyAab6iQD66S7DJzEM7TBxzpCcadcO8BlFzhBQXKi7BJ/F8UB7OGdIRB7IZLHoLsFn8VXfHs4ZEpEn8uNgnqvwVd8ejmkRkQcy8Y26y/CRtYNbK4jII/lxmNRV+KpvD999EZEHMvnzcy5dha/6dpj47ouIPJBfdLTuEnwWw9AOc0SE7hKIiM5giYnVXYLPYhjawXdfROSJ/GJjdJfgsxiGdlgYhkTkgSzRDENXYRjaYYliGBKR52Fn6DoMQzvYGRKRJ+KcoeswDO3wi2EYEpHnYWfoOgxDO/zi43WXQER0BkssO0NXYRja4ZeQwI9xIiLPYjbDEhWluwqfxTCs5CwPlhgORxCR55Ag5LlJXYePbCX869XTXQIRUSnOF7oWw7ASfgxDIvIgXEnqWgzDSvjVS9BdAhFRKf/UFN0l+DSGYSUCGjbSXQIRUamgZs10l+DTGIaVCGzOJx4ReY6Apk11l+DTGIaVCGrRQncJRESlAtkZuhTDsBJ+cXHc4EpEHrOtwl/2P5PLMAyrwKFSIvIEgRwidTmGYRWCmnOolIj04xtz12MYViGQ84ZE5AG4eMb1GIZVCGzeXHcJRETcVuEGDMMqBDZrClgsussgIoPjSlLXYxhWwRwYiICGDXWXQUQG/0g5flqF6zEMqxHYgkOlRKQPu0L3YBhWg5vviUinoNatdJdgCAzDagSdfbbuEojIwEK6ddddgiEwDKsR0qmT+rBfIiK38/dHSOdOuqswBIZhNcwhIQhu3153GURkQMHt28EcHKy7DENgGDogpGcP3SUQkQGFcojUbRiGDgjr2VN3CURkQKE9GIbuwjB0QFDbtjCHh+sug4gMxBQczCkaN2IYOsBksSCkW1fdZRCRgYR07MjFe27EMHRQaA/OGxKR+3CI1L0Yhg4K5bwhEbkR9xe6F8PQQYGNG8MvKVF3GURkAObISASd3Vp3GYbCMKyB0O4cKiUi1wvp0hkmM1+e3YmPdg1wqJSI3CGsVy/dJRgOw7AGQnv1BPz8dJdBRL7MYkH4wIG6qzAchmEN+EVHI5RnoyEiFwrp3Bl+cXG6yzAchmENRY64UHcJROTDIoYO0V2CITEMayj8/PPUybuJiFwyRDpokO4qDIlhWENyBvnwgefrLoOIfFBot67wi4nRXYYhMQxrIeJCDpUSkfNFXHCB7hIMi2FYy1Oz+cXH6y6DiHyIKSgI4UM4X6gLw7AWZDNsxLBhussgIh8SPmAALGFhusswLIZhLUWO5FApETlP5KiRukswNIZhLQW1aoXAZs10l0FEPsASH4dQnnVGK4ZhHUSMGKG7BCLyAZHDR6jPTSV9GIZ1EDliOGAy6S6DiLyZyYSoi8bqrsLwGIZ14J+YyKENIqqT0D69EXjWWbrLMDyGYR3FXHWV7hKIyIvFXnOt7hKIYVh3Yb3PRUBTvqsjopoLbN0Kod276S6DGIbOETNhgu4SiMgLxV5zje4S6F8MQyeIHDkSluho3WUQkRfxS0xExNChusugfzEMncAcGIjoSy/RXQYReZGYK66AiR8W7jEYhk4SLU/soCDdZRCRFzCHhSHq4vG6y6DahmG/fv1w2223oaYKCgrQtGlT/Prrr/BE3bt3xyeffFKnY8jHrkRddJHTaiIi3yWvFTwPqQE7w5deegmNGzdGz549S7+3bds2jBw5EnFxcYiIiMC5556LH3/88Yzrvvnmm2jXrh2CgoKQkJCAm266qcrbmjZtGmJiYpCamop333233M8+/vhjjLBz1ph7770XM2fORElJSZ3uZ+x11wL+/nU6BhH5OD8/xEy4UncV5O4wtFqteO6553DdddeV+/7w4cNRVFSEpUuX4q+//kL79u3V9w4fPlx6maeeegr33HOPCqpNmzbh+++/x+DBgyu9rYULF+K9997Dd999h8ceewzXX389jh8/rn6WmZmpjvX888+fcb2hQ4fi9OnTWLRoUZ034UfyFG1EVIWIwYPhn5SkuwyqwGSVtKrBMKmtS3vttdcQEBCAG2+8EbNmzar0On/++Se6deuGkydPIjw8XH1PAio+Ph7Lly9H79691fckjKRDXLJkCc4//3xkZGQgOTlZBdx5553nUH0SgKtXr8YHH3yg/l2vXj189dVX6NKlC2644Qa0bNkSt99+u93rXnvttSgsLMQ777yDusjfvRu7hg0H6thlEpFvavTJAgSffbbuMqiuneFbb72F0NBQrFq1SoXP7NmzVYBV5ueff0bz5s1Lg1DExsaiRYsWePvtt5Gdna06xJdfflkNg3bq1EldRo4pw5YHDhxAq1atkJKSgvHjx2Pfvn2V3pZ0lxK+EqTSbebm5qq5yhUrVqiQnDp1aqXX7dq1q6q1rgIbN0bEkMq7VyIyrogLhjIIfSUMpTO877770KxZM0yYMAGdO3fGDz/8UOnl9+7di6QKQwImk0kNea5Zs0aFpHSaMiS6ePFiRP+7X2/Xrl0qDB966CE888wzWLBgAdLT0zFw4EC1IMceGUK94oorVCd49dVXlwb35MmT1bzliy++qEK4V69eati1LKlRgrau84Yi/vbbYQoIqPNxiMh3yGtC/LTpussgZ4ZhWYmJiTh69Gill5fuTMKuLBmZlYUw0glKN/b7779j1KhRanHLoUOH1GUklGTYct68eSrkZMXn+++/j+3bt9tdaGMjQ7Y7duzAhg0bMHr0aDz88MNq2NXf3x9z5sxRXaLMJUqQlxUcHKxuMz8/H3UVkJqK6CuvqPNxiMi3tl8FpCTrLoOcFYYSKhW7vKq6KVktKsOWZcmiGZnLk7k96dI6duyIF154QQWSdHO2kBWtW7cuvZ7MM8rx0tLSHKp1y5YtmD9/Ph544AEsW7YMffr0UceQ4VYZNpV5ShvpOqWLlBqcIW7yZFhiYpxyLCLybpaoKMTdeIPuMkjnatIOHTqoUCq7TicnJ+efGzeXv3n5ty1YJSTF1q1bywWWLL5p2LBhtbcrtyeLZmT4NSwsDMXFxarTFLY/5Xs2GzduVLU6i+whip96i9OOR0TeK+6mm2CJiNBdBukMw/79+yMrK6vcHF2PHj3U3OBVV12FdevWqT2Hd955J3bv3o1hw4apy8iiG9mHeOutt6rN+hJWcnlZESrHrI6sdpUu0LavUMJVOtKVK1fi6aefVh1nVFRU6eVluHbQoEFOve9R48YhsFkzpx6TiLxLQKNGiL7kYt1lkO4wlJWjMndXdgO8DHXKYhkJyQEDBqhFODKX98UXX6gVoTay2lS2ZUhA9u3bVw3RyvUqDtVWdOTIETz44INqvrHsatHp06erY3300Ud44403Sn8mK1YlcK9x8hnkTRYLEmbMcOoxici7JNwxHSaejMO39hnW1vr169Uq0J07d6ohS08zY8YMNa/5yiuvuOT4aTfcgOyflrvk2ETkuUI6d0bD+XXbu0w+dDo2WYH66KOPqmFQTySrWmWRjavUk+6QZ6cnMhaTiSNDXsQtnSEBh+c8iIz583WXQURuEjFiBJIff0x3GeQghqGbFJ88iR2Dh6AkM1N3KUTkYqaQEJz11UKeg9SL8PMM3bjPKP4WbrUgMoKE6dMYhF6GYehG0ZdfhpCuXXWXQUQuFNK9O6Ivu0x3GVRDHCZ1s8IDB7DrwpEoyc7WXQoROZk5NBRNvvwC/sk87Zq3YWfoZvKfpN7d/9FdBhG5QMKMuxiEXophqEHU2LEI69dPdxlE5ESh556L6PHjdZdBtcRhUk2Kjh3DrhEXqlWmROTdzOHhaLLwS/jXr6+7FKoldoaa+MXHo/6s+3SXQUROUO8//2EQejmGoUYRQ4Yg4t8TkxORdwrr3x9RY0brLoPqiMOkmhVnZqrh0qIqPiCZiDyTJTISjWV4NCFBdylUR+wMPeA/U+KDc3SXQUS1UO/eexmEPoJh6AHCevdGFD/vjMirRI4Zg8gRw3WXQU7CYVIPUZKfj71XTkDe+vW6SyGiagS2boVG778Pc2Cg7lLISRiGHqTwyFHsuegite2CiDx3aqPRJwsQkJKiuxRyIg6TehD/eglIee5ZmAICdJdCRPaYzUh64nEGoQ9iGHqY4PbtUX/2/brLICI74qZMUXP85HsYhh4oatQoxFx9te4yiKiM8IHnI+6mKbrLIBfhnKGHshYXY98NNyJ7xQrdpRAZXmCrVmj07nyYQ0J0l0IuwjD0YMWnTmHP+ItRsGeP7lKIDMsSF4fGH33ID+v1cRwm9WCWiAikvPA8zGFhukshMiRZzJby7DwGoQEwDD1cYJMmSH7yCbWKjYjcSxazhXTooLsMcgO+wnqBsL59kXDnnbrLIDKUhJkz1GI2MgaGoZeIveZqxE6apLsMIkOIm3oLYrmi21AYhl4kYdrtiL7sMt1lEPm02InXI34Kt1AYDcPQy9T7772IHHmh7jKIfFL05ZcjYfp03WWQBtxa4aV7EA/cdhtOL/ledylEPvUpFPJxaiaTSXcppAHD0EtZCwqw/5apyPrpJ92lEHm9iAsuUOccNXHVtmExDL1YiQrEW5D903LdpRB5rbABA5Ayby5Mfn66SyGNGIa+EIg334zs5T/rLoXI64T27ImUl16EmZ8UY3gMQx/AQCSquZDOnZH66iswBwfrLoU8AAfIfYC8q0157jmE9e+vuxQir/kEitTXXmUQUimGoU8F4rOIuvQS3aUQefz2ieS5c2EOCtJdCnkQDpP6oBOvv46jTzwJ8FdL9P+ZTEi4Yzpir7tOdyXkgRiGPurU4sU4OGMmrPn5uksh0s7k74/Ehx9G5PBhukshD8Uw9GE5q1dj/5SbUHzypO5SiLQxh4erOfXQbl11l0IejGHo4+SDgdMm3YDCtDTdpRC5nV9iIlJffglBzZvrLoU8HMPQAIrS07F/8hTkrlunuxQitwls0QKpr7wM/3r1dJdCXoCrSQ3ALyYGDd56E+EDB+ouhcgtQnp0R8N35zMIyWHsDA3EWlKCo48/gfQ33tBdCpFrmEyIueoqJEyfphbNEDmKYWhAp5YswaF7/4uSzEzdpRA5jSUqCokPP4RwnnyCaoFhaFCFBw/iwB13Inf1at2lENVZcKdOSH7yCfjXr6+7FPJSDEODfy7iseeew4mXXwFKSnSXQ1RzJhNiJ05E/NRb+KkTVCcMQ0L2ylU4eNddKDp6VHcpRA6zxMYi6dFHEXZuL92lkA9gGJJSlJGBQzP/ww8LJq8Q0q0bkh5/DP4JCbpLIR/BMKRy0t96S53X1FpYqLsUojOZzYibMgVxUybzU+nJqRiGdIbcTZtwcNp0FOzdq7sUolL+SUnq/KI8rRq5AsOQ7CrJzsax555H+jvvAEVFusshIzObEXPlFYi/9VaYQ0J0V0M+imFIVcrbtg2H75+N3L/+0l0KGfSUaolzHkBw27a6SyEfxzCkaslTJPOzz3H0iSdQnJ6uuxwyAFNgIOImT0bs9ddxywS5BcOQHFacmYmjTz2Nkx9/zH2J5DJh/fqh3j13IyA1VXcpZCAMQ6qx3PXrcXjW/cj7+2/dpZAP8U9JQb2770b4AJ5OjdyPYUi1Pul3xnvv49jcuSg5fVp3OeTlQ6JyFpnYidfDHBiouxwyKIYh1UnR8ePqkzAyFy7k0CnVjJ8fIkeNRPzkyfBPTtZdDRkcw5CcIn/HDhyb9yxOL1kiK250l0OezGJB5IgRiLtpCucFyWMwDMmpZB7x2Nx5PK0bnclsRsTwYYifMgUBjRrproaoHIYhuUTu2rVq0372ihW6SyFPCMEhQxB3800IbNJEdzVEdjEMyaVyN2zE8ZdfQtYPSzl8ajQmE8IHDUK8hGCzZrqrIaoSw5DcdiabE6+8ilOLFgHFxbrLIVcymxF+3nmqEwxq0UJ3NUQOYRiSWxWkpSHjww/VGW14NhvfYomPQ9TYsYgeP16dVJvImzAMSQtrQQFOL12Kkx99hOzfVnII1VuZTAjt0R1RF1+C8PMG8NRp5LUYhqRdwb59OPnxApz87FMUHzuuuxxygCU6GpFjRqsuMKBhQ93lENUZw5A8hrWoCKd//FGd+zR7xS/cxO+Bgjt3QrR0gYMHwRwQoLscIqdhGJJHKjx4ECcXfIKTn3+GooOHdJdjaP4NGqgFMVFjxyCwaVPd5RC5BMOQvGIjv3SMWT8uQ96mTZxfdDWTCUFt2yJ8wAA1D8htEWQEDEPyKoVHjyJr2TJkLf0R2StXwpqXp7skn2Dy90dI9+4q/ML6D4B/vQTdJRG5FcOQvFZJXh6yf/0NWdI1LluGomPHdJfkVcwREQjr21cFYOi5vWEJC9VdEpE2DEPyCfI0ztu4EVk//4zcdeuQt34DijMydJflUczh4QjucA5COnZESKdOCO7QgVshiP7FMCSfVbB/P/LWr0fu+g3qA4ll7tEww6omEwIaNFBzf8EdO6jwk7k/k9msuzIij8QwJENt3cjfvv2fcNywXnWP8tFTXr+Fw2JRZ3wJOvtsBLc5G0Ft2qi/W8LDdVdG5DUYhmRoJbm5KEjbh4K0vSiUP/eloTAtTX2v8MgRoLAQnsASFQX/1FT4pyQjIEX+TEFAaso/30tM5HAnUR0xDIkqYS0pQdHx4yg6cgSFhw+j6PARFB05jKKMDFhz89QCHmteLkpK//7vn7m5//yZn19+G4jZDHNwMMwhIerLFBoCc/A/fy/9kp+HhsASE/tP8KkATOXiFiIXYxgSuYj817L+G4qmoCCYg4J0l0RElWAYEhGR4XFpGRERGR7DkIiIDI9hSEREhscwJCIiw2MYEhGR4TEMiYjI8BiGRERkeAxDIiIyPIYhEREZHsOQiIgMj2FIRESGxzAkIiLDYxgSEZHhMQyJiMjwGIZERGR4DEMiIjI8hiERERkew5CIiAyPYUhERIbHMCQiIsNjGBIRkeExDImIyPAYhkREZHgMQyIiMjyGIRERGR7DkIiIDI9hSEREhscwJCIiw2MYEhGR4TEMiYjI8BiGRERkeAxDIiIyPIYhEREZHsOQiIgMj2FIRESGxzAkIiLDYxgSEZHhMQyJiMjwGIZERGR4DEMiIjI8hiERERkew5CIiAyPYUhERIbHMCQiIsNjGBIREYzu/wGEuuy7/l1G7AAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.adaptive_importance_sampling\n",
"project.settings.minimum_samples = 10000\n",
"project.settings.maximum_samples = 100000\n",
"project.settings.minimum_variance_loops = 5\n",
"project.settings.maximum_variance_loops = 10\n",
"project.settings.fraction_failed = 0.5\n",
"project.settings.variation_coefficient = 0.02\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()"
]
},
{
"cell_type": "markdown",
"id": "df15912b",
"metadata": {},
"source": [
"### Perform reliability calculations with Subset Simulation\n",
"\n",
"We now conduct the reliability analysis using the `subset_simulation` method."
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "5aa73ba3",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability:\n",
" Reliability index = 3.077\n",
" Probability of failure = 0.001047\n",
" Convergence = 0.01308 (not converged)\n",
" Model runs = 45000\n",
"Alpha values:\n",
" t_p: alpha = -0.3517, x = 4.044\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1625, x = 3.348\n",
" h_crest: alpha = 0.02568, x = 9.996\n",
" h: alpha = -0.9215, x = 6.579\n",
"\n",
"Contributing design points:\n",
" Reliability (Subset iteration 1)\n",
" Reliability index = 3.062\n",
" Probability of failure = 0.0011\n",
" Convergence = 0.1348 (not converged)\n",
" Model runs = 50001\n",
" Alpha values:\n",
" t_p: alpha = -0.299, x = 3.831\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1287, x = 3.234\n",
" h_crest: alpha = -0.04707, x = 10.01\n",
" h: alpha = -0.9444, x = 6.757\n",
"\n",
" Reliability (Subset iteration 2)\n",
" Reliability index = 3.075\n",
" Probability of failure = 0.001054\n",
" Convergence = 0.04333 (not converged)\n",
" Model runs = 45000\n",
" Alpha values:\n",
" t_p: alpha = -0.3562, x = 4.061\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1712, x = 3.376\n",
" h_crest: alpha = 0.01876, x = 9.997\n",
" h: alpha = -0.9184, x = 6.543\n",
"\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.subset_simulation\n",
"project.settings.minimum_samples = 1000\n",
"project.settings.maximum_samples = 50000\n",
"project.settings.variation_coefficient = 0.02\n",
"project.settings.sample_method = SampleMethod.adaptive_conditional\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()"
]
},
{
"cell_type": "markdown",
"id": "685cdcbe",
"metadata": {},
"source": [
"### Perform reliability calculations with Latin hypercube\n",
"\n",
"We now conduct the reliability analysis using the `latin_hypercube`."
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "80f7f3a1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability:\n",
" Reliability index = 3.076\n",
" Probability of failure = 0.00105\n",
" Convergence = 0.09754 (not converged)\n",
" Model runs = 100001\n",
"Alpha values:\n",
" t_p: alpha = -0.2787, x = 3.759\n",
" tan_alpha: alpha = 0, x = 0.3333\n",
" h_s: alpha = -0.1373, x = 3.264\n",
" h_crest: alpha = 0.05574, x = 9.991\n",
" h: alpha = -0.9489, x = 6.843\n",
"\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.latin_hypercube\n",
"project.settings.minimum_samples = 100000\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()"
]
}
],
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