{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# MELTS geobarometry part 2 - plagioclase - 2-pyroxene saturated magmas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- The rhyoliteMELTS geobarometer first used by Gualda and Ghiorso (2014), which focused on the quartz - 2-feldspar ternary, has been expanded to consider the co-saturation of other phases. One of the primary applications of this method outside of high-silica rhyolites is the co-saturation of plagioclase and pyroxene(s) in felsic and intermediate magmas (Harmon et al. 2018).\n", "- In this notebook we use an experimental composition from Moore and Carmichael (1998) to evaluate the performance of the plagioclase-pyroxene(s) barometry method.\n", "\n", "**Before any calculations can be run** users need to install the alphaMELTS for Python source code. Please refer to the installation instructions on the petthermotools ReadtheDocs for how to do so. These files need to be added to the Python path. This can either be achieved through the installation step and/or in the code below using the `sys.path.append(r\"path_to_alphaMELTS\")` code" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alphaMELTS for Python files successfully located.\n", "If using the Green et al. (2025) or Weller et al. (2024) thermodynamic models please run `ptt.activate_petthermotools_env()` prior to any calculations.\n" ] }, { "data": { "text/plain": [ "'0.4.6'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import petthermotools as ptt\n", "# sys.path.append(r'path_to_alphaMELTS')\n", "\n", "ptt.__version__" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# used to suppress MELTS outputs in MacOS systems (run twice)\n", "import platform\n", "if platform.system() == \"Darwin\":\n", " import sys\n", " import os\n", " sys.stdout = open(os.devnull, 'w')\n", " sys.stderr = open(os.devnull, 'w')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To demonstrate how PetThermoTools can be used to estimate the pressure of storage for any magma saturated in multiple solid phases we'll use the compsition of an orthopyroxene, clinopyroxene, and plagioclase saturated melt from experiment PEM12-19 of Moore and Carmichael (1998)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "bulk = {'SiO2_Liq': 61.8,\n", " 'TiO2_Liq': 0.61,\n", " 'Al2O3_Liq': 16.5,\n", " 'FeOt_Liq': 3.77,\n", " 'MgO_Liq': 1.7,\n", " 'CaO_Liq': 4.91,\n", " 'Na2O_Liq': 3.5,\n", " 'K2O_Liq': 1.87,\n", " 'H2O_Liq': 3.6}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we run the barometry calculations there are several other things that need to be specified:\n", "- The oxygen fugacity of the system, reported to be NNO +1.1.\n", "- The pressure range and number of steps.\n", "- The phases of interest.\n", "- The thermodynamic model we want to use for the calculations.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "fO2_offset = 1.1 # offset from NNO buffer\n", "P_bar = np.linspace(250,7500,24) #bars\n", "phases = ['clinopyroxene1', 'orthopyroxene1', 'plagioclase1']\n", "Model = \"MELTSv1.0.2\" # calculations performed using the rhyolite-MELTS v1.0.2 thermodynamic model as in Harmon et al. (2018)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use these parameters to calculate pressure. Note, with a natural glass data the H$_2$O content and oxygen fugacity may not be known, which leads to additional uncertainty in the calculation as these parameters have a notable influence on the saturation curves investigated here.\n", "\n", "Notably, in the example below we'll also specify a maximum temperaure interval on 200 degrees Celsius below the liquidus and a temperature step for each calculatio of 1 degree Celsius." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "minimum_v102, xtal_v102 = ptt.mineral_cosaturation(bulk = bulk, \n", " Model = Model,\n", " phases = phases,\n", " P_bar = P_bar, \n", " T_initial_C = 1050,\n", " fO2_buffer = \"NNO\",\n", " fO2_offset = fO2_offset,\n", " dt_C = 1, # temperature interval for each calculation\n", " T_maxdrop_C = 200, # maximum temperature below the liquidus the code will search for 3 phase saturation\n", " find_min = False)\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To investigate the results, we can use in-built plotting functions to look at the position of the saturation curves in P-T space:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptt.plot_surfaces(Results = minimum_v102, P_bar = minimum_v102['Output']['P_bar'], phases = phases)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also investigate the temperature residual between the curves using the plottin function below." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptt.residualT_plot(Results = minimum_v102, P_bar = minimum_v102['Output']['P_bar'], phases = phases, interpolate = False, ylim = [0, 100])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These results suggest that the magma likely equilibrated around 900 - 1400 bars (90-100 MPa), with the plagioclase-clinopyroxene intersection indicating a slightly higher pressure of equilibrium than the 3-phase and plagioclase-orthopyroxene intersections. Interestingly, these results aline well with the experimental pressure of 1008 bars (100.8 MPa). However, if we were to follow the \"Which MELTS verison should you use?\" flow-diagram on the ofm-research website (https://melts.ofm-research.org/MELTS-decision-tree.html), you'll see that we should have used rhyolite-MELTS v1.2.0 as the magma contains dissolved H$_2$O. As a result, we can rerun the calculations, keeping everything the same but using the rhyolite-MELTS v1.2.0 model instead." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "Model = \"MELTSv1.2.0\"\n", "minimum_v120, xtal_v120 = ptt.mineral_cosaturation(bulk = bulk, \n", " Model = Model,\n", " phases = phases,\n", " P_bar = P_bar, \n", " T_initial_C = 1050,\n", " fO2_buffer = \"NNO\",\n", " fO2_offset = fO2_offset,\n", " dt_C = 1, # temperature interval for each calculation\n", " T_maxdrop_C = 200) # maximum temperature below the liquidus the code will search for 3 phase saturation\n", " " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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6jlGJtg5o3LgxBg4cCAC4c+cOwsLCdBwRIcQgMMbbWzt2BIYPV0+yEomqRHvtGjB3LiXZakCJ1oDNmTNHeE1DfQghL3TxItC7N59EovRymy1bAuvW8SkRd+wAunc3yOXo9BUlWgP26quvomXLlgCAiIgIXL58WccREUL00rVrwBtv8PVcT5xQ7ff1Bf78E/j3X2D2bMDWVncx1mKUaA2YSCTC7NmzhfdUqiWEqLl9m49xbdmSt8cqNWoE7N7N13wNDKTSq5ZRZygN6UtnKKXc3Fy4ubnh0aNHEIvFuH37NpyoRyAhdUJubi6SkpKQl5cHZ2dnODk58U6RDx4AoaHAhg3qa746OfExr5Mn1+kpEauDJrmAFhUwcBYWFggKCsLKlStRVFSEb7/9FosXL9Z1WISQapKXl4ekpCQkJCQgISEBiYmJwuu7d++WOb+BpSWc8/LgXFICFwDOAFzMzOA8bBhcpkyBc6NGcGIMkhp/krqLSrQa0rcSLQCkpKTAy8sLCoUCDg4OuH37NiQS+jEixBAwxpCXl4ebN28KCbR0Qk0pb0WcamBnZwdnZ2e4urqicePGkMlk8Pb2hkwmg5eXF0ypxFshTXIBJVoN6WOiBYARI0bgl19+AQBs374d48aN03FEhNR+hYWFePz4MTIzMyGXy5GVlVWlraj0ouiVZG9vD5lMBplYDKsrV5CWnY00AKkA0gBofkUVY2NjeHh48Os/s3l6esLEhCpDKdFqkb4m2r///hvdunUDALRr1w6XL1+GiDo4EFIpCoUCSUlJSElJERLn48ePhe157/Py8rQal62trVqSU5Y4ZTIZ6tWrx4frdOqk/qGRI8GWLMFDOzukpaUhLS0Nqampav+Wfl1Qug23EkxMTODl5SXE4ejoCBsbmwo3MzOzWvf7yOAS7enTp/H5558jMjISaWlpCAsLw9ChQ4XjjDEsWbIE33//PTIzM9GpUyds2LABLVq0AAA8evQIISEhOHLkiDDv79ChQ/HZZ59BKpUK1/H09MStW7fU7r1gwQKsWLGi0rHqa6JljKFDhw6IfDo27uzZs+jatauOoyJEvzDGkJKSgtjYWLXt2rVryM/Pr7E4xGIxpFKpkIisra3h5uZWJqHavmi4zdKlwCef8Nc9egCrVwPt2lU6DsYY7t+/r9buW3rLycmp+kOWYmJiUm4CdnBwgLe3N3x8fITntrKyqpZ7apvBdYZ68uQJfH19MXHiRLzxxhtljq9atQpr1qzBtm3b4OPjg6VLl6JPnz6Ij4+HtbU1UlNTkZqaii+++ALNmzfHrVu3MG3aNKSmpuLXX39Vu9ann36KoKAg4b2h/Ke+iEgkwpw5c4Qq43Xr1lGiJXVaRkZGmYQaGxuL7Ozsl7qulZUV6tWrh/r166NevXrCa6lUWiZ5lpdcrK2tq68Pxdmzqtc//AA0bqzRx0UiERwcHODg4AB/f3+1Y4wx3Lt3r9wEnJiYiNzc3Erfp7i4GI8ePcKjR49eeK6zs7PwB4cyActkMjRu3Bjm5uYaPZ++0IsSbWkikUitRMsYg4uLC4KDg7FgwQIAQEFBARwdHbFy5Ur873//K/c6v/zyC95++208efJEaE/w9PREcHAwgoODqxyfvpZoAf518fDwwL1792BsbIzk5GS4ubnpOixCKk0ul+POnTvIy8tDQUEB8vPzUVBQUGZ73n7lcJfY2Fjcv3+/Uvc0MjKCTCZDy5YthVLks4m0dDLVm/ZJhQKoXx/IzubDdlJTa2w8LGMMaWlpSExMRGZmpsZt0lWpPRCJRGjYsKFa4q1fv/5zq6utra1hbGyshafnDK5EW5Hk5GSkp6ejb9++wj6JRIKAgABEREQ8N9EqH/7ZH4qVK1fis88+g5ubG4YPH4758+dX2LtO+QOslJWV9ZJPpD0SiQTTpk3DkiVLoFAosGHDBo2qxQnRtidPnuDmzZu4efMmkpOTkZycLLy+efMmMjMztXp/Dw8PtGzZUm1r2rQpzMzMtHpfrYiN5UkWALp1q9FJJ0QiEVxcXODi4lKlzxcWFiIrKwt3797FjRs3ypSYMzIyynxGWe2fkpKCE6Vnt6qAlZXVcxOxVCrF4sWLeVu3lul9ok1PTwcAODo6qu13dHQs096q9PDhQ3z22WdlkvCcOXPQrl071K9fHxcvXsTChQuRnJyMH3744bn3Dw0NxZIlS17yKWrOtGnTsHz5chQVFeH777/HokWLYGFhoeuwSB2Rm5uLlJQUtWRaOqlWtpT5shwdHcsk1ObNm+tdLdRLKV1tbGDNRKamprC3t4e9vT18fX3LHJfL5eVWWd+4cUOjP8ZycnKQk5OD1NTUco8vWrSoys+gCb1PtErP9lhjjJXbiy0rKwsDBgxA8+bNERISonbs3XffFV63bt0a9evXx5tvvomVK1fCzs6u3PsuXLgQ7733ntr19bk61snJCaNGjcKOHTuQmZmJnTt3YurUqboOi9QCyo4zt2/fxq1bt3D79u0yr6uaSI2NjeHm5gZPT0+4u7sL7ZilNzMzs0rtc3V1RYO6sOJM6UT7dMRBbSGVSuHn5wc/P78yxx4+fIiEhATcvn273Grp5w2zys7OxrMtpTX1h5feJ1rldILp6elwdnYW9mdkZJQp5WZnZ6Nfv36wsrJCWFjYC9dn7dy5MwAgMTHxuYlW+cNrSObMmYMdO3YAANavX4+goKBa17WeVD+FQoG7d+8KpVBlAi2dSKvaM1dZ1ejp6QkvLy94eXkJrz09PdGwYUNaT1lTykRraQm0aaPTUGqSnZ0d7OzshN/flVVSUoKcnBy1xFtT7e16n2i9vLzg5OSEo0ePom3btgB4/X54eDhWrlwpnJeVlYXXXnsNEokE+/fvr1Sby5UrVwBALYHXBu3bt4e/vz8iIiJw9epVnDhxAr169dJ1WETHlL1IS1fllm4nvX37dpUmTgB4hyJXV1e4u7sLmzKhenl5wd3d3eD+YNVrt28Dd+7w1507A/rSQUuPGRkZCe2zNU0v/ndycnKQmJgovE9OTkZ0dDRsbW3h7u6O4OBgLF++XOhttnz5clhYWGD06NEAeEm2b9++yM3Nxc6dO4W/WACgQYMGMDY2xrlz53D+/Hn07NkTUqkUly5dwrvvvovBgwfD3d1dJ8+tTXPmzEHE0wWd161bR4m2DigpKUFGRoZQCr1161aZzkZVnWDB0tISHh4ecHd3F/4t/drFxYVKpDUgOxtITAQStt5GAj5EAmRIvNETrCvQujUv2LZpA7RqBVDXDP2hF8N7Tp06hZ49e5bZP378eGzbtk2YsOK7775Tm7BCuRbr8z4P8KTt6emJqKgoTJ8+HdevXxeGwYwaNQrvv/++Rp2F9Hl4T2lFRUVo1KgR7ty5A5FIhISEBDTWcIwd0S8FBQVISUlRq84t/W9KSorGs/woWVtbq5VAvby84OHhISTS+vXrU/NDDXny5GkyTVDfEhOBp31DX8jICGjSBGjblide5b/29tqMvG4xuJmhDImhJFoAWLFiBRYuXAiAl3C//PJL3QZEKpSfn19m2IuySvfWrVtCD/yqMDc3h6enp1obael2UkqkusEYcOECsHMnH62TkMCHw2pLw4bqibdtW8DTk5ajrQpKtFpUXYk2OxvIzwe02Tny4cOHcHNzQ15eHqytrXH37l1YW1tr74akQkVFRbhz50657aPJyclIS0ur8rWtra3VSqDKf5XJ1NHRkRKpHsnN5euuf/MN8LSryAs5OgIyGSDzKIBs1xLIcAOypibwvrwHCgXw77/8WtHR/N/YWKAyTe5WVoCtLWBjo9lmbc3/dXYG6mKrQa2asKK2SUgA5swBjh8HZs0CvvhCe/eys7PD22+/jU2bNiE7Oxvbtm3DrFmztHfDOq6kpATp6ellEqlyu3PnDhQKRZWu7ezsXCaJlk6sNTHonry8+Hjg22+BrVsBubzs8QYNAG/vpwm11ObtzZMaAODgCWBXKH/dZxZgyV9266Y+yqewELh2TZV4o6P59ux9c3L4VlXGxrxU/GzMMhng4UH9tAAq0WrsZUu0Dx/yv0wVCv7Dc+OGdqttYmJi0Lp1awCATCbD9evXYWRkpL0b1mKMMWRmZj43kd68ebPKbaSOjo7lVul6eXmhYcOG1GPXgBUXAwcO8NLrsWNlj3foAEyfDgwZwmdUfKGPPgKWL+evf/oJGDGi0rEwBty8qV7yvXEDyMrimwbTF1eKWAx4eQE+PmWTsJsbb0s2VFR1rEXVUXXcowcQHs5fX70KNG9effGVp1evXsKUZX/88QcGDBig3RvWArm5ubh8+TIiIiJw6dIlJCUlITk5ucpTcNarV69MZyNlQvX09KTZu2qhtDQ+z/933wF376ofMzMD3noLeOcdnmg1UvoXyJ07gKtrdYQLgP9RkJ2tSrwVbdnZQGYmkJzMa+o0LRVLJECzZnxSq1de4aXxanwUraOqYz03dKjq5+T337WfaOfMmSMk2nXr1lGiLUdqair+/vtvREREICIiAlFRUSguLq70583NzctNosrXVLVbNzAGnD7NS6979/LEVZq3N0+uEybwdlGNFRby3lMAr6+t5sxkYsJL1ZUqWZfCGHDvXtme0jdu8N7S5Y0qKyhQVWdv2MD3eXqqqsBfeQVo2tSwS71KVKLVUHWUaJOTgUaN+OuOHVU/N9qiUCjg4+OD//77DwBw9epVNNd2dtdjxcXFiImJQUREhJBcnzdvtpKJiQk8PDzK9NpVbg4ODtTZqA7LyQG2b+cJNi5O/ZiRETBoEK8e7t37JRPH+fNAly789dtvA09ngNNnJSW8J3V5STg+nh9/HltbXuJVJt/27XlJWB9QiVbPeXnxAeUxMcDFi/ybsIqLYFSKsbExZs2aJcz1/NVXX2Hjxo3au6EeUS7n9e+//wql1QsXLrxwQetmzZqha9eu8Pf3R5cuXSCTybS65BYxTLm5PLmuXAk8eKB+rEEDICgImDqVdwqqFgY4v7GRER9W1LAh8Ox0B1lZwLlz/LHOnuWFjtKl30ePePv2gQP8vZkZL5x06wb4+/OqZw8P3iFLn1GJVkPVNbxn0SLgs8/462+/BZ6z2l+1kcvlaNiwIXJycmBhYYGDBw/ilVdeqRWlsOLiYty+fRtJSUlITExU+/e///574QLV5ubm6NSpE/z9/dG1a1d07twZtlWq1yN1RUEB8P33vE/Ss8Obu3Xjpddhw7RQ+nr9dWDfPv46NhZo0aKab6BbhYW8g9aZM6rk+/BhxZ8xNeU1hOX1em7YUHtVz9QZSouqK9FGRgLKhSn69QMOHqymACswa9YsfP3118J7mUyGiRMnYvz48VVeV7Km5OXlITk5udxkevPmTY3aUxs2bCiUVv39/eHr60vTB5JKKSriQ3M++0w11TDARw689RawYAGfClErGAMcHHjRuV49noFqQwNmBRjj1ctnz6qS79MWsEoxMyt/uJSPD+Dk9HIjPijRalF1JVrGAHd3/sNqasp/drQ9l8Tdu3cREBCApKQktf1GRkbo378/Jk2ahIEDB8LU1FS7gZSjuLi43MkclFtVJnMwNTWFl5cXGjduDB8fH3Tq1Aldu3bV62UOiX4qLgZ27QI+/bTsL/o33gCWLKmBwmV8PO8dBAADBgB//KHlG+qn1FTg7795YaV0hytNF5aysgIuXVJ9STVFiVaLqnMKxpkzVb3tfv4ZGD68GgJ8gby8PISFhWHLli04fvx4meP29vYYO3YsJk2aJMwlXR2Ua5n+999/aglU+T4lJUWjUqmSlZUVvL290bhxYzRu3FjtdcOGDaldlbyUkhL+s7l4Mc9zpQ0cyBPv00XFtG/zZmDKFP46NBT44IMaurH+KynhQ6hKd7RSvk5Kev4MWdnZPOFWBSVaLarORHv0KNC3L389Zgyf77QmJScnY9u2bdi6dStSUlLKHO/QoQMmTZqEUaNGVXp4ilwuR0JCAm7cuCFsyvdVHYPq5OQELy8vNGrUqExSbdCgQa1oZyb6hTE+9G7RIt5psbQ+fXiC1XA51Jc3aRKvtwb4GKJXXqnhAAyTQsFXFSydfBMS+AxZf/9d9etSotWi6ky0hYW8Z2JWFm9yycjQzZyhCoUCJ06cwJYtWxAWFlZmdiMzMzO8+eabmDRpEgICAlBYWIikpCS1ZKrcMjIyNL6/VCpVGyrTqFEjtbGo5ubm1fWohFSIMeDQIeCTT3jVZGmvvAIsXQp0766b2ODjwzOEqSnPEpVYc5toDyVaLaru1XtGjwZ+/JG/PnYM0PWysY8ePcKPP/6ILVu2ICoqqszxevXqQS6XQ5NvG5FIBE9PT8hkMjRu3LhMUq2v6eh4QrTg5Eng44+Bp8s4Czp14p2fevfW4So39+7x3jsAH9fyMkUxUi1oHK0BGTJElWh//133idbW1hYzZszAjBkzEB0djS1btmDnzp3IzMwEADx+/Pi5n3VycoKPjw98fHwgk8mE140aNYIZ/fVN9FRkJLBwIW/KKa1NG55gBwzQg2XkSmd/Axk/S1SoRKuh6i7RZmXxxZiLivgk27du6cEP9TPy8/Oxf/9+bNmyBf/++y/c3NzUEqmPjw+8vb31fn1eQkq7cYNXEf/8s/r+5s15G+zrr+vR6Jm5c4E1a/jr338HBg/WbTyEqo61SRsLv/frBxw+zF9HRdVgL0ZC6qC7d3ki3byZd5RR8vLi+996Sw9nGurUiU8jBwD37/O/zolOaZIL9OXvtTptyBDV699/110chNRmmZl8RIy3N5/VSZlkHRyAr74Crl/n0wfrXZLNzeV/gQN8zkFKsgaHEq0eKF0LRImWkOqVmwusWMGn6Vu5UjWxgbU1b4NNSuJj2nUwT0vlXLyoWgaI2mcNEiVaPeDqqpqOMTqaL8xMCHk5RUV8HnFvb97ZSdmPTyIB3nuPz/D08cdVn7CgxpReSKBrV93FQaqMEq2eGDpU9Xr/fp2FQYjBKykBfvqJd2p65x2+ADvAOzZNmsQ7Qa1ebUA1sAa4Yg9RR4lWT1A7LSEvhzHeqdDPDxg1is9/q/T663yxm82b+RzjBkOhUA3tcXJSLWRNDAolWj3RooXqZyg8nHfcIIS8WEkJrwXq0oX34L9yRXWsRw++VvrevbwfkcGJjeUT8gK82ljfxv6RStGLRHv69GkMGjQILi4uEIlE2Kdcb/EpxhgWL14MFxcXmJubo0ePHrh69araOQUFBZg1axbs7e1haWmJwYMH407pdawAZGZmYuzYsZBKpZBKpRg7dmyFEzDUJJFIVX2sUAB//qnTcAjRe8XFfLKXNm14jdCFC6pjbdvy0u2JE3xkjMGiauNaQS8S7ZMnT+Dr66u2Vmppq1atwpo1a/D111/j0qVLcHJyQp8+fZCt/EsPQHBwMMLCwrBnzx6cPXsWOTk5GDhwIBSlBsqNHj0a0dHROHToEA4dOoTo6GiMHTtW689XWVR9TMiLFRQAP/zAlzcbPVp90v9WrXj77OXLfMEOgy8AUqKtHZieAcDCwsKE9yUlJczJyYmtWLFC2Jefn8+kUin79ttvGWOMPX78mInFYrZnzx7hnLt37zIjIyN26NAhxhhjcXFxDAA7f/68cM65c+cYAHb9+vVKxyeXyxkAJpfLq/qIz1VUxJidHWMAY1ZWjOXlVfstCDFYOTmMffklY66u/Gek9NapE2P79zNWUqLrKKuZmxt/QEtL/guC6A1NcoFelGgrkpycjPT0dPRVricHQCKRICAgABFPOwlERkaiqKhI7RwXFxe0bNlSOOfcuXOQSqXoVKoeqXPnzpBKpcI55SkoKEBWVpbapi0mJsCgQfx1Tg6v9iKkrnv8GFi2DPD0BIKD+cxOSr16AcePA+fO8Z8dgy/Blnb7NqBcvrJTJ/4LghgkvU+06enpAABHR0e1/Y6OjsKx9PR0mJqallkF5tlzHBwcylzfwcFBOKc8oaGhQpuuVCqFm5vbSz3Pi1D1MSFcRgbw4YeAhwcf7/rggerY4MG8k9OxY8Crr9ayBKtE1ca1ht4nWqVnF/dmjL1wwe9nzynv/BddZ+HChZDL5cJW3gLp1alPH9Uyk/v38x6VhNQlKSnAnDm8BBsayhfeAPg42LfeAv79l/8RatCdnCqDEm2tofeJ1unpGozPljozMjKEUq6TkxMKCwuFpdyed869e/fKXP/+/ftlSsulSSQS2NjYqG3aZGnJO3EAQHo6cOmSVm9HiN5ISgKCgoDGjYH164G8PL5fLOb74+OB3bt5h6c6QbnmrJER0LmzbmMhL0XvE62XlxecnJxwtNRikYWFhQgPD4e/vz8AoH379hCLxWrnpKWlITY2VjinS5cukMvluKhcAQPAhQsXIJfLhXP0Renq42dGOhFS61y/DowbBzRpwnsTFxXx/ebmvE32v//4IgDe3joNs2Y9fqzqTu3ryydmJgZLL1rXc3JykFhqGpfk5GRER0fD1tYW7u7uCA4OxvLlyyGTySCTybB8+XJYWFhg9OjRAACpVIrJkydj7ty5sLOzg62tLebNm4dWrVqhd+/eAIBmzZqhX79+CAoKwnfffQcAmDp1KgYOHIgmTZrU/ENXYOBA3ubEGK8iCw3VdUSEVL+YGN7J6eef+fe6ko0Nn+Q/OBho0EBn4enWuXOqLwpVGxs+bXeBroyTJ08yAGW28ePHM8b4EJ+QkBDm5OTEJBIJ6969O4uJiVG7Rl5eHps5cyaztbVl5ubmbODAgez27dtq5zx8+JCNGTOGWVtbM2trazZmzBiWmZmpUazaHN5TWrduqqEL8fFavRUhNSoykrGhQ8sO0bG1ZezTTxnT8EeydvrwQ9UX5qefdB0NKYcmuYAWfteQNhZ+L88XXwDz5/PXq1apXhNiqM6f58vS/fWX+v4GDYB58/gCAFRD+lSPHnwuVgC4c4cv8UX0Ci38XgvQMB9SW5w+zXvTd+minmSdnYG1a/mykO+/T0lWUFiomk/S05OSbC1AiVZPyWSqSdAjIviYQkIMBWPA0aNA9+5AQAAf76rk5gZs2MA7OQUHAxYWOgtTP0VFqVanp/bZWoESrR5TLjLAGPDHHzoNhZBKYYwviNGlCx+mduaM6lijRrxXcWIiMH26arw4eYZyWA9AibaWoESrx2iYDzEUCgXvPdy2Le81X3olnSZNgP/7Pz4OdvJkwNRUd3EahNITVXTtqrs4SLXRi+E9pHwdOvB2rLQ0Xg335Amf0IIQfVFUBOzaBaxYwRNpaa1a8akT33gDMDbWTXwGhzFVoq1XD2jeXKfhkOpBJVo9ZmTE53QFeJNNqfk4CNGpvDzezurtDUycqJ5kO3QAwsKA6GhgxAhKshq5cUM1qXPXrvyXADF49L+o56j6mOiTrCw+3MzLi08qcfu26liPHvyPwQsXeP8CyhFVULp9lqqNaw2qOtZzr74KWFnxZfP++AMoLqbVskjNe/iQzz+8fj2fHbC0AQP4Kjt6NpOpYaKFBGqll/qbs6ioCCkpKYiPj8ejR4+qKyZSikQC9O/PXz98yIf6EFJT0tL4ZBIeHsCnn6qSrEjEq4WvXOF/AFKSrSbKRGtqyuvgSa2gcaLNycnBd999hx49ekAqlcLT0xPNmzdHgwYN4OHhgaCgIFyiJWeqFU1eQWpacjKfqcnLC1i9mnfEA3htyoQJwLVrwE8/AW3a6DLKWubePSAhgb/286PxT7WIRol27dq18PT0xKZNm/Dqq69i7969iI6ORnx8PM6dO4eQkBAUFxejT58+6NevHxKU3zTkpQQGqjqU7NunPgE7IdXp8WPg3XcBHx/g22+BggK+XyIBZszgY2C3buVDdkg1K11dRe2ztYpGrX0RERE4efIkWj1nQciOHTti0qRJ2LhxI7Zs2YLw8HDIZLJqCbQuq1+fdzQ5fpzPpnP1KtCypa6jIrWJQsEnk/j4Y1WnV4D3D5g+nSffp0tDE22h9tlaS6NE+8svv1TqPDMzM0yfPr1KAZHyDRnCEy3Aq48p0ZLqcuoUnwrxn39U+8zNedvsu+/yP/RIDSidaKnRu1bRuI32xIkTaN68ObKyssock8vlaNGiBU6fPl0twREV5XhagIb5kOpx8yYwfDjQs6d6kn3rLT4u9tNPKcnWmNxcPscxwCc5t7fXbTykWmmcaL/88ksEBQWVuyyQVCrF//73P6xdu7ZagiMqHh58ejsAuHwZuHtXt/EQw/XkCfDJJ0DTpsCvv6r2t2vH5ybevZtP/E9q0MWLfOweQO2ztZDGifaff/5Bv379nnu8b9++iIyMfKmgSPlK9z7ev193cRDDxBifLrFJE2DpUlVHJwcHYPNm/ruemgZ1hNpnazWNE+29e/cgFoufe9zExAT3799/qaBI+WiYD6mqS5d4Qentt1W1IWIxMH8+H1EyaRJNlahTlGhrNY0TraurK2JiYp57/N9//4Wzs/NLBUXK5+vLq5AB4MQJWqOWvFhaGp+LuGNH4Nw51f6BA3nv9VWrgHJagUhNUihU/zmOjnw9QVKraJxoAwMDsWjRIuQrFyYuJS8vDyEhIRg4cGC1BEfUiUS88wrAV0356ivdxkP0V0EBsHIlHw+7bZtqf9OmwMGDwIEDAI280xOxsXwSaYCXZkUi3cZDqp2IMc2mP7h37x7atWsHY2NjzJw5E02aNIFIJMK1a9ewYcMGKBQKREVFwdHRUVsx61RWVhakUinkcnm5HcK07c4d/gdvURFfRev2bcDausbDIHqKMb5yzvz5fMy1Ur16wJIlfLanClp+iC5s2MBXaACAtWv5WCui9zTJBRpPT+/o6IiIiAi88847WLhwIZR5WiQS4bXXXsM333xTa5OsPmjYkLezbd3KZ/H57js+3pGQK1f4uNfwcNU+IyNg6lQ+VKdBA93FRiqgHCAPUI/jWkrjEm1pmZmZSExMBGMMMpkM9evAoDtdl2gBPs9sixa89OLszOellUh0EgrRA2lpfEanrVvVp+fs2ZMXkHx9dRcbeYG8PD5mNjeX/5ueTr3SDIQmueClVu+pX78+OnTogI4dO9aJJKsvmjXj630C/Jfsjh06DYfoSH4+EBrK22G3bFElWW9vPqnJ8eOUZPXesWM8yQJ8VhpKsrWSxok2Ly8PoaGh+OCDD5CWlqaNmEglfPCB6vWqVbzjIqkbGAN+/pl3bPrwQ75WMQBIpXylnatX+VAw6lNjAEqP01P+9UxqHY0T7eTJk5GYmAg7Ozv07t1bGzGVKzs7G8HBwfDw8IC5uTn8/f3VluMTiUTlbp9//rlwTo8ePcocHzVqVI09Q3Xq2JEvCg/wcZBhYbqNh9SMy5eBV14BRo4Ebt3i+4yM+MT/CQnAe+/xpUyJAVAoVDPPWFgANfj7lNQwpiFnZ2cWGxvLGGNMLBaze/fuaXqJKhkxYgRr3rw5Cw8PZwkJCSwkJITZ2NiwO3fuMMYYS0tLU9u2bNnCRCIRS0pKEq4REBDAgoKC1M57/PixRnHI5XIGgMnl8mp9vqo4coQxXr5hrF07xkpKdB0R0ZY7dxgbN071/63c+vRhLCZG19GRKjlzRvUfOWyYrqMhGtIkF2jc6zggIADr1q2Dj48P3N3d4eDgUP3Z/xl5eXn47bff8Pvvv6N79+4AgMWLF2Pfvn3YuHEjli5dCqdn1vD6/fff0bNnTzR6ZvC3hYVFmXMNVe/efH7aqCi+HTsG9Omj66hIdcrN5dXBK1aomvIAPo3i6tV8rWKqIjZQpVcHKT3tG6l1NK46/uGHH+Dh4YF79+7heOlu6VpUXFwMhUIBMzMztf3m5uY4W3rqsqfu3buHP//8E5MnTy5zbNeuXbC3t0eLFi0wb948ZGdnV3jvgoICZGVlqW36QiRSb6tdsUJ3sZDqVVzMO7k1bQosWqRKsvXrA+vWATExwIABlGQNFmOqRGtszP8zSe1VAyXsatGlSxcWEBDA7t69y4qLi9mOHTuYSCRiPj4+Zc5duXIlq1+/PsvLy1Pb//3337OjR4+ymJgY9uOPPzJPT0/Wu3fvCu8bEhLCAJTZ9KHqmDHGiosZk8lUNVAXLug6IvIyCgsZ27yZMW9v9SpiY2PGZs9m7OFDXUdIqkVMjOo/t2dPXUdDqkCTqmODSbSJiYmse/fuDAAzNjZmHTp0YGPGjGHNmjUrc26TJk3YzJkzX3jNy5cvMwAsMjLyuefk5+czuVwubCkpKXqVaBljbNMmauoxdPn5jG3cyJiHR9l22MBAxuLidB0hqVZLl6r+g9et03U0pAo0SbQaVR3fvn1bo9Ly3WpcNLVx48YIDw9HTk4OUlJScPHiRRQVFcHLy0vtvDNnziA+Ph5Tpkx54TXbtWsHsViMhISE554jkUhgY2OjtumbsWP5xBUA7318/bpu4yGVl5cHrF8PNG7Mp0dU9iQGgF69gFOngD//5GOnSS1C7bN1ikaJtkOHDggKCsLFixefe45cLsemTZvQsmVL7N2796UDfJalpSWcnZ2RmZmJw4cPY8gz36SbN29G+/bt4VuJkfpXr15FUVGRwa82JJHwYR0A/xN51SrdxkNeLCcH+OILwMsLmDNHtXQdAPTvD0RE8M5tAQG6i5FoSUoKH6cFAG3bqpbkIrWWRr2Or127huXLl6Nfv34Qi8Xw8/ODi4sLzMzMkJmZibi4OFy9ehV+fn74/PPP0b9//2oL9PDhw2CMoUmTJkhMTMT8+fPRpEkTTJw4UTgnKysLv/zyC1avXl3m80lJSdi1axcCAwNhb2+PuLg4zJ07F23btkXXWjC/6NSpwLJlfP7jnTv5BPJubrqOijwrKwv4+mtgzRrg4UP1Y0OG8KkU/fx0ExupIcqxswBNUlFHaFSitbW1xRdffIHU1FRs3LgRPj4+ePDggVD1OmbMGERGRuLvv/+u1iQL8JLyjBkz0LRpU4wbNw7dunXDkSNH1Bah37NnDxhjeOutt8p83tTUFMePH8drr72GJk2aYPbs2ejbty+OHTsG41ow7ZmNDTBjBn9dVMTnuCX6IzOT//Hj4QF89JEqySqXPoyO5rWJlGTrAKo2rnNealGBukgfFhV4nvv3+S/yvDzA0pK399nZ6Tqquu3BA/5Hz1dfAaVHkhkZAaNG8aTbvLnu4iM1LDMTcHDg47c8PflahjRGyyDV2KICRL80aAAohw4/ecKrKIluKCf89/QEli9XJVljY2DCBN5hbdcuSrJ1zl9/8SQL8GpjSrJ1AiXaWmbuXNUCIOvX84RLao5y4fXmzfmE/8qvv1jM29ETEvhydjKZbuMkOkKLCNRJlGhrGU9PQNlE/egR8MMPOg2nTomJ4dNiDhvG1wgGeBXxtGlAUhLw3Xe8lzGpo/LzgYMH+Ws7O1rkvQ7RONFOmjTphdMWEt1asED1evVqoLBQd7HUBQ8fAjNnAm3aACdOqPa/+irv5LRxI/UAJ+DfHMo1DQcNAkw0nmqeGCiNE+327duRl5enjVhINWnZkv8cA3zI3u7duo2ntiou5u3gMhmwYQNQUsL3e3kBe/fycbCtWuk2RqJHSvc2pmrjOkXjREudlA1D6cUGVq5UJQFSPY4f5yXYWbN4R1KA9/RevhyIiwNef536uZBSFApV+6y5OS2zVcdUqY1WRL9B9J6/P18gHOA9XEuPkSdVl5TEk2jv3sDVq6r9Y8cC8fHAwoXAM4tMEQJcuABkZPDXffvyhd5JnVGlRgIfH58XJttHjx5VKSBSfT74ADhzhr8ODeVj4+lvpKrJzuZfw2fbvDt25MvWde6su9iIAaBq4zqtSol2yZIlkEql1R0LqWb9+wOtWwP//gtcvAiEhwM9eug6KsNSUsKntPzgAyAtTbXfyYlXyb/9Nu9ZTMhzlV571sgIGDhQp+GQmlelRDtq1Cg4ODhUdyykmikXhh89mr8PDaVEq4nLl3kb7Pnzqn2mpnwBhw8/BKytdRcbMSDXr/MB1ABvz7G31208pMZp/Lc4tc8aluHDVWM3jxwBoqJ0G48hyMgApkzh1cKlk+zQobyjU2goJVmiAao2rvOo13EtZ2ICzJ+ver9ype5i0XdFRXw2LR8fYPNmXuMH8LVgjxzhMz41bqzbGIkBokUE6jyNE21JSQlVGxuYCRP4POYA8OuvqlosonLiBF8adM4cQC7n+2xs+IIA//xDozFIFd29yztIALzDBE0NVidRN446wNwcCA7mr0tK+ILjhLt9m1ev9+qlPlxn4kTgxg3+dSu1EiMhmqG1Zwko0dYZ06fzEhoAbNsGpKbqNBydy8sDPv0UaNqUl/KVOnTgQx63bAEcHXUXH6klqH2WgBJtnSGVAu+8w18XFvJes3WRcqRF8+ZASAhPuABfYnDzZt75qWNHnYZIagu5HDh5kr92d+dTiZE6iRJtHfLeezzhAsD27arJLOqKa9eAfv34zE43b/J9xsbAu+/yauJJk2hMLKlGBw/yHnYArT1bx9GvlTrEwYHPxas0fbrq90BtlpXF1+lt3Zr3Hlbq1YtP5rFmDVCvns7CI7UVVRuTpyjR1jH/+x/Qvj1/HRvLh7PUViUlvD3ax4cn0+Jivt/DA/jtN+DoUV6FTEi1KygA/vqLv65fXzXxOKmTKNHWMcbGfH1UZS1WSAhw545uY9KGy5f5utoTJwL37vF9Zmb8eePi+OLsVJNHtObkST5BNsCnXKS1Z+s0SrR1UIcOvGQLAE+e8Lbb2uJ5szoNG8bbaBcvpoVTSA2gamNSCiXaOmr5ct7TFgB++QU4fFi38bysimZ1OnqUVxV7euo0RFJXlJSoxs+amQGvvabbeIjOUaKto+rXBz7/XPV+5kwgP1938byMF83q1Lu3buMjdcylS6qlnvr0ASwtdRsP0TmDSbTZ2dkIDg6Gh4cHzM3N4e/vj0uXLgnHJ0yYAJFIpLZ1fmaR0IKCAsyaNQv29vawtLTE4MGDcac2NlBW0rhxqj4aiYnqidcQ0KxORC9RtTF5hsEk2ilTpuDo0aPYsWMHYmJi0LdvX/Tu3Rt3794VzunXrx/S0tKE7S9lr7+ngoODERYWhj179uDs2bPIycnBwIEDoVAoavpx9IJIBGzYwDtIAcCyZUBSkm5jqgya1YnotdJrzw4apNNQiJ5gBiA3N5cZGxuzP/74Q22/r68v++ijjxhjjI0fP54NGTLkudd4/PgxE4vFbM+ePcK+u3fvMiMjI3bo0KFKxyKXyxkAJpfLNXsIPTZ3LmO8VZOxwEDGSkp0HVH5SkoYCwtjzNNTFS/AWIMGjG3ezJhCoesISZ137ZrqG/OVV3QdDdEiTXKBQZRoi4uLoVAoYGZmprbf3NwcZ8+eFd6fOnUKDg4O8PHxQVBQEDIyMoRjkZGRKCoqQt++fYV9Li4uaNmyJSIiIp5774KCAmRlZalttU1ICODqyl//9Zd6zZe+uH6dZnUiBuD331WvaUk88pRB/GqytrZGly5d8NlnnyE1NRUKhQI7d+7EhQsXkPa000H//v2xa9cunDhxAqtXr8alS5fw6quvoqCgAACQnp4OU1NT1K9fX+3ajo6OSE9Pf+69Q0NDIZVKhc3NzU17D6oj1ta845DSnDl82I8+ePyYDz9q1YpmdSIGgNaeJeUwiEQLADt27ABjDK6urpBIJFi/fj1Gjx4N46cNjCNHjsSAAQPQsmVLDBo0CAcPHsSNGzfw559/VnhdxhhEFcxcsHDhQsjlcmFLSUmp1ufSF2++CSgL+ykpwGef6TYehQLYtIkP11m7lmZ1IgYgLY13EgCAli0Bb2/dxkP0hsEk2saNGyM8PBw5OTlISUnBxYsXUVRUBK/nLKTs7OwMDw8PJDxd5dzJyQmFhYXIzMxUOy8jIwOOFfSckUgksLGxUdtqI5EI+PprwNSUv1+9ms+gpAunTwN+fsDUqcD9+3yfuTnN6kT03IEDqgHc1NuYlGIwiVbJ0tISzs7OyMzMxOHDhzHkOdUzDx8+REpKCpydnQEA7du3h1gsxtGjR4Vz0tLSEBsbC39//xqJXd/JZMAHH/DXxcXAjBmq3xs14fZtYORIICAAiI5W7R85krfR0qxORK/RsB7yHCLGavJXadUdPnwYjDE0adIEiYmJmD9/PiQSCc6ePYuCggIsXrwYb7zxBpydnXHz5k18+OGHuH37Nq5duwZra2sAwDvvvIM//vgD27Ztg62tLebNm4eHDx8iMjJSqIJ+kaysLEilUsjl8lpZus3LA1q0AJKT+fudO4ExY7R7z9xcPoZ35UrV+rAAn4Ri3Tqaj50YgKwsPtVaYSHQsCH/q5GqXWo1TXKBwZRo5XI5ZsyYgaZNm2LcuHHo1q0bjhw5ArFYDGNjY8TExGDIkCHw8fHB+PHj4ePjg3PnzglJFgDWrl2LoUOHYsSIEejatSssLCxw4MCBSifZusDcnFchK82dyzskaQNjwE8/8fGwixerkqy9PfD993yCHUqyxCAcOsSTLMA7QVGSJaUYTIlWX9T2Eq3SsGFAWBh/PXMm8NVX1Xv9K1d47+bSi8+bmACzZgGLFlFPYmJgRozgk4YDvKcezftZ69XKEi2pWV9+qWoP/eYbICqqeq57/z7v5NS+vXqS7dcPiImh4TrEwBQUAO+8o0qyUinvZEBIKZRoSbnc3XnJEuCLkbzzDv+3qu7f50lUJuPDdpT1KD4+wJ9/AgcP8ipkQgzGnTs8qX77rWrfhx/SBNukDKo61lBdqToGeJNTmzZ8HVcA+O47Xhp9Ecb47E1nzqi2+Hj1c6yt+XCdWbNUQ4oIMRgnT/Lu8MrxZxIJsHEjX9GC1Ama5AJKtBqqS4kWAE6dAnr25K/r1+cJU7mOrVJJCRAbC5w9q0qspdZ6UCMS8ekSly2jif+JAWKMDzJfsEBVxePhAezdC7Rrp9vYSI3SJBeY1FBMxED16MGH9+zaBWRm8nG2GzcCly+rkurff1fcM9nEhLfJvvIKMHo0H7ZDiMHJzuZ/JZZeMqpvX2D3bsDOTndxEb1HJVoN1bUSLQCkpwNNmvChggBgZlbxIvGWlkCXLjyxvvIK0KkTTTRBDNz167wrvrIdBQA+/piPS6PhgXUSlWhJtXJy4lW9s2bx988mWXt7nlC7deP/tmlD/UFILbJ3LzBhAi/RAoCNDbBjBzB4sE7DIoaDEi2plHfe4b2DDx0CPD1VpdVXXuGlXRqfT2qd4mLgo4+AVatU+1q25IlXJtNdXMTgUKIllWJszNeqzcujamBSB9y/D4waBZw4odr31lt8bJqlpe7iIgaJxtGSShOJKMmSOuDiRd6DWJlkTUz4pNu7dlGSJVVCJVpCCAH40J1Nm3hnBOW8xU5OfNanbt10GxsxaJRoCSEkP5+vC7lli2pf1648yT5dapOQqqKqY0JI3XbnDtC9u3qSnT2bz/5ESZZUAyrREkLqrrNngTfeADIy+Htzc+CHH/jMKoRUEyrREkLqHsb4FGc9e6qSrKcncO4cJVlS7SjREkLqloICICgImD6dj5UFgF69+Lyivr66jY3USpRoCSF1R2oqn8B782bVvrlz+UwsNF8x0RJqoyWE1A0REbw9Nj2dvzcz4wmXqoqJllGJlhBS+33/PS/JKpOsuztfdoqSLKkBlGgJIbVXYSEwbRrwv/8BRUV8X8+evD2W1o8lNYQSLSGkdkpL40n1u+9U+4KDgSNHgAYNdBYWqXuojZYQUvucP8/bY1NT+XuJhE+vOHasbuMidRKVaAkhtcvmzUBAgCrJNmzIJ6agJEt0hBItIaR2KCzk8xVPmaJaFKB7dyAyEvDz021spE4zmESbnZ2N4OBgeHh4wNzcHP7+/rh06RIAoKioCAsWLECrVq1gaWkJFxcXjBs3DqnKv2if6tGjB0Qikdo2atQoXTwOIaQ63bwJvPIK8M03qn2zZgHHjgEODjoLixDAgBLtlClTcPToUezYsQMxMTHo27cvevfujbt37yI3NxdRUVH45JNPEBUVhb179+LGjRsYPHhwmesEBQUhLS1N2L4r3VGCEGJ49u0D2rbl68gCvD1261Zg/XpALNZpaIQAgIgxxnQdxIvk5eXB2toav//+OwYMGCDsb9OmDQYOHIilS5eW+cylS5fQsWNH3Lp1C+7u7gB4ibZNmzb48ssvqxxLVlYWpFIp5HI5bGxsqnwdQshLKiwE3n+fL8qu1Lgx8NNPQPv2uouL1Ama5AKDKNEWFxdDoVDAzMxMbb+5uTnOnj1b7mfkcjlEIhHq1auntn/Xrl2wt7dHixYtMG/ePGRnZ1d474KCAmRlZalthBAdS07mi7GXTrLDh/P2WEqyRM8YRKK1trZGly5d8NlnnyE1NRUKhQI7d+7EhQsXkJaWVub8/Px8fPDBBxg9erTaXxpjxozBjz/+iFOnTuGTTz7Bb7/9hmHDhlV479DQUEilUmFzc3Or9ucjhGggLIxXFT/towFTU942+9NPgFSq29gIKYdBVB0DQFJSEiZNmoTTp0/D2NgY7dq1g4+PD6KiohAXFyecV1RUhOHDh+P27ds4depUhUX6yMhI+Pn5ITIyEu2eM0tMQUEBCgoKhPdZWVlwc3OjqmNCalpBAa8qXr9etc/bG/j5Z554CalBta7qGAAaN26M8PBw5OTkICUlBRcvXkRRURG8vLyEc4qKijBixAgkJyfj6NGjL3z4du3aQSwWIyEh4bnnSCQS2NjYqG2EkBr2339A167qSXbkSF5VTEmW6DmDSbRKlpaWcHZ2RmZmJg4fPowhQ4YAUCXZhIQEHDt2DHaVWPLq6tWrKCoqgrOzs7bDJoRU1W+/8WQaGcnfSyR80fYffwToD19iAAym6vjw4cNgjKFJkyZITEzE/PnzIZFIcPbsWYhEIrzxxhuIiorCH3/8AUdHR+Fztra2MDU1RVJSEnbt2oXAwEDY29sjLi4Oc+fOhbm5OS5dugRjY+NKxUG9jgmpIQUFwLx5wNdfq/bJZLyquE0bnYVFCKBZLjCYuY7lcjkWLlyIO3fuwNbWFm+88QaWLVsGsViMmzdvYv/+/QD4kJ/STp48iR49esDU1BTHjx/HunXrkJOTAzc3NwwYMAAhISGVTrKEkBqSlKSqGlYaNYovEEB/4BIDYzAlWn1BJVpCtOzXX4HJkwHlUDqJhLfNBgUBIpFuYyPkqVpZoiWE1HLlVRX7+PCqYl9f3cVFyEuiRKslCoUCRcqFpgnRMrFYbNhNIMnJwIgRfEF2pbfe4lXF1ta6i4uQakCJtpoxxpCeno7Hjx/rOhRSx9SrVw9OTk4QGVr16u+/AxMmAMqfGaoqJrUMJdpqpkyyDg4OsLCwMLxfesTgMMaQm5uLjIwMADCc4WpFRcDChcDq1ap93t7AL79Qr2JSq1CirUYKhUJIspUZx0tIdTE3NwcAZGRkwMHBQf+rkVNSeK/ic+dU+4YPB374gXoVk1rH4Cas0GfKNlkLCwsdR0LqIuX3nd73DTh0iE9AoUyyYjHw1Vd8rmJKsqQWokSrBVRdTHRB77/viouBjz8G+vcHHj7k+zw8gL//BmbOpPZYUmtR1TEhRPvS0oDRo4FTp1T7Bg0Ctm0DbG11FRUhNYJKtKRCN2/ehEgkQnR0NADg1KlTEIlE1KuaVN7Jk7yqWJlkjY2Bzz/nvY0pyZI6gBIt0Yi/vz/S0tIgpXU/q9Xp06cxaNAguLi4QCQSYd++fboO6eWVlABLlwK9ewP37vF9rq5AeDifmIKqikkdQYmWaMTU1NRgxmrqfaegUp48eQJfX198XXpWJEN2/z4QGAh88glPuADQty9w5Qpf7o6QOoQSLQEAlJSUYOXKlfD29oZEIoG7uzuWLVtW5rxnq463bduGevXq4fDhw2jWrBmsrKzQr18/pKWlqV37008/RcOGDSGRSNCmTRscOnRIOK6snt6zZw/8/f1hZmaGFi1a4NTTqkbGGLy9vfHFF1+oxRIbGwsjIyMkJSUB4J2Bvv32WwwZMgSWlpZYunQpAGDjxo1o3LgxTE1N0aRJE+zYsUO4xqRJk9C6dWsUFBQA4Mm5ffv2GDNmjHDOgQMH0L59e5iZmaFRo0ZYsmQJiouLheMikQg//PADXn/9dVhYWEAmkwmLXCjFxcUhMDAQVlZWcHR0xNixY/HgwQPheP/+/bF06VIMGzbsxf9Z+i4iglcVHz7M3xsZAZ99Bhw8CDRooNvYCNEFRjQil8sZACaXy8scy8vLY3FxcSwvL0+1s317xlxda35r316j53r//fdZ/fr12bZt21hiYiI7c+YM27RpE0tOTmYA2JUrVxhjjJ08eZIBYJmZmYwxxrZu3crEYjHr3bs3u3TpEouMjGTNmjVjo0ePFq69Zs0aZmNjw3788Ud2/fp19v777zOxWMxu3LjBGGPCPRo2bMh+/fVXFhcXx6ZMmcKsra3ZgwcPGGOMLVu2jDVv3lwt5nfffZd1795deA+AOTg4sM2bN7OkpCR28+ZNtnfvXiYWi9mGDRtYfHw8W716NTM2NmYnTpxgjDGWnZ3NGjVqxIKDgxljjC1YsIC5u7uzx48fM8YYO3ToELOxsWHbtm1jSUlJ7MiRI8zT05MtXrxY7b4NGzZku3fvZgkJCWz27NnMysqKPXz4kDHGWGpqKrO3t2cLFy5k165dY1FRUaxPnz6sZ8+e5f5fAGBhYWEa/f8x9pzvv5qWmsqYtTVjAN8cHRk7flx38RCiJRXlgmdRotWQxonW1VX1S6cmN1fXSj9TVlYWk0gkbNOmTWWOVSbRAmCJiYnCZzZs2MAcHR2F9y4uLmzZsmVq1+3QoQObPn262j1WrFghHC8qKmINGzZkK1euZIzxZGVsbMwuXLjAGGOssLCQNWjQgG3btk34DAAhYSr5+/uzoKAgtX3Dhw9ngYGBwvuIiAgmFovZJ598wkxMTFh4eLhw7JVXXmHLly9X+/yOHTuYs7Oz2n0//vhj4X1OTg4TiUTs4MGDjDHGPvnkE9a3b1+1a6SkpDAALD4+nj3LoBPt+vWq78FXXuGJl5BaSJNES8N7tM3JSe/ve+3aNRQUFKBXr15VupWFhQUaN24svHd2dhamA8zKykJqaiq6PtMu17VrV/zzzz9q+7p06SK8NjExgZ+fH65duyZcc8CAAdiyZQs6duyIP/74A/n5+Rg+fLjaNfz8/Mo829SpU8vce926dWr3nTdvHj777DMsWLAA3bt3F45FRkbi0qVLatXoCoUC+fn5yM3NFSaJaN26tXDc0tIS1tbWwtcgMjISJ0+ehJWVVZmvXVJSEnx8fMrsN1hhYarXGzYAhjIdJCFaRIlW20qvRqKnlNP3VZVYLFZ7LxKJwJ5Z5vjZzlOMsUp1qCp9zpQpUzB27FisXbsWW7duxciRI8vMwmVpaVnhNcq7d0lJCf7++28YGxsjISFB7dySkhIsWbKk3LZTMzMz4XV5X4OSp52ASkpKMGjQIKxcubLMNQxmXuLKePgQOH2av27cGGjZUrfxEKInqDMUgUwmg7m5OY4fP17t17axsYGLiwvOnj2rtj8iIgLNmjVT23f+/HnhdXFxMSIjI9G0aVNhX2BgICwtLbFx40YcPHgQkyZNeuH9mzVr9sJ7f/7557h27RrCw8Nx+PBhbN26VTjWrl07xMfHw9vbu8xmZFS5H5927drh6tWr8PT0LHON8v4wMFh//AEoFPz10KE0fIeQp6hES2BmZoYFCxbg/fffh6mpKbp27Yr79+/j6tWrVa5OLm3+/PkICQlB48aN0aZNG2zduhXR0dHYtWuX2nkbNmyATCZDs2bNsHbtWmRmZqolU2NjY0yYMAELFy6Et7e3WlVzRfceMWIE2rVrh169euHAgQPYu3cvjh07BgCIjo7GokWL8OuvvwpVynPmzEFAQAAaNWqERYsWYeDAgXBzc8Pw4cNhZGSEf//9FzExMUKv5heZMWMGNm3ahLfeegvz58+Hvb09EhMTsWfPHmzatAnGxsbIyclBYmKi8Jnk5GRER0fD1tYW7u7ulbqPzpUe+/v66zoLgxC9o+0G49pG485QBkKhULClS5cyDw8PJhaLmbu7O1u+fHmlOkNJpVK1a4WFhbHS31oKhYItWbKEubq6MrFYzHx9fYWOQoypOkPt3r2bderUiZmamrJmzZqx4+X0Vk1KSmIA2KpVq8ocw3M6EX3zzTesUaNGTCwWMx8fH/Z///d/jDH+/9W8eXM2depUtfNff/115u/vz4qLixljvOexv78/Mzc3ZzY2Nqxjx47s+++/r/C+UqmUbd26VXh/48YN9vrrr7N69eoxc3Nz1rRpUxYcHMxKSkrUvq7PbuPHjy/zPM+j0++/J08YMzfnnaAcHBh7+rUjpLbSpDOUiLFnGtNIhbKysiCVSiGXy2HzzEoj+fn5SE5OhpeXl1r7HanYzZs34eXlhStXrqDNC9Yh/fvvv9GjRw/cuXMHjo6ONROggdDp99++fapSbFAQ8P33NXt/QmpYRbngWVR1TAxCQUEBUlJS8Mknn2DEiBGUZPVN6d7GQ4fqLAxC9BF1hiIG4ccff0STJk0gl8uxatUqXYdDSisuBg4c4K+trIBqaNcnpDahEi3ROU9PzzLDgZ41YcIETJgwoWYCIpo5fRrIzOSvAwMBiUS38RCiZwymRJudnY3g4GB4eHjA3Nwc/v7+uHTpknCcMYbFixfDxcUF5ubm6NGjB65evap2jYKCAsyaNQv29vawtLTE4MGDcefOnZp+FEJqF+ptTEiFDCbRTpkyBUePHsWOHTsQExODvn37onfv3rh79y4AYNWqVVizZg2+/vprXLp0CU5OTujTpw+ys7OFawQHByMsLAx79uzB2bNnkZOTg4EDB0KhHPtHCNEMY6pEKxYD/fvrNBxC9JKWe0BXi9zcXGZsbMz++OMPtf2+vr7so48+YiUlJczJyUltrtz8/HwmlUrZt99+yxhj7PHjx0wsFrM9e/YI59y9e5cZGRmxQ4cOVTqW2jq8hxg+nXz/Xb6smtu4X7+auy8hOqbJ8B6DKNEWFxdDoVCUGbJgbm6Os2fPIjk5Genp6ejbt69wTCKRICAgABEREQD4fLNFRUVq57i4uKBly5bCOeUpKChAVlaW2kYIeYp6GxPyQgaRaK2trdGlSxd89tlnSE1NhUKhwM6dO3HhwgWkpaUhPT0dAMoM+XB0dBSOpaenw9TUFPXr13/uOeUJDQ2FVCoVNjc3t2p+OkIMmLLaWCQChgzRaSiE6CuDSLQAsGPHDjDG4OrqColEgvXr12P06NEwNjYWzqnKxPUvOmfhwoWQy+XClpKS8nIPQkhtkZAAKDscdu6su5WqCNFzBpNoGzdujPDwcOTk5CAlJQUXL15EUVERvLy84PT0B/zZkmlGRoZQynVyckJhYSEylcMQyjmnPBKJBDY2NmobqZhIJMK+0j1RSe1EvY0JqRSDSbRKlpaWcHZ2RmZmJg4fPowhQ4YIyfbo0aPCeYWFhQgPD4e/vz8AoH379hCLxWrnpKWlITY2VjiHaGbx4sUvnDKRVE1+fj4mTJiAVq1awcTEBEP1sf2T2mcJqRSDmbDi8OHDYIyhSZMmSExMxPz589GkSRNMnDgRIpEIwcHBWL58OWQyGWQyGZYvXw4LCwuMHj0aACCVSjF58mTMnTsXdnZ2sLW1xbx589CqVSv07t1bx09nWBhjBjkkqrCwEKamproOo1IUCgXMzc0xe/Zs/Pbbb7oOp6y0NEC5rGGLFoBMptt4CNFjBlOilcvlmDFjBpo2bYpx48ahW7duOHLkiLDg9vvvv4/g4GBMnz4dfn5+uHv3Lo4cOQJra2vhGmvXrsXQoUMxYsQIdO3aFRYWFjhw4IBaO29dVVBQgNmzZ8PBwQFmZmbo1q2bMCHIqVOnIBKJcPjwYfj5+UEikWDHjh1YsmQJ/vnnH4hEIohEImzbtk243oMHD/D666/DwsICMpkM+/fvV7tfeHg4OnbsCIlEAmdnZ3zwwQcoLi4Wjvfo0QMzZ87EzJkzUa9ePdjZ2eHjjz8WZpD69NNP0apVqzLP0b59eyxatAgAn01q6NChCA0NhYuLC3x8fAAAMTExePXVV2Fubg47OztMnToVOTk5wrOamprizJkzwjVXr14Ne3t7pKWlAQDu3r2LkSNHon79+rCzs8OQIUNw8+ZN4Xzlfb/44gs4OzvDzs4OM2bMQFFRkXBOYWEh3n//fbi6usLS0hKdOnXCqVOnhOPKdXeDgoKEphG9sn8/H9QDUGmWkBfR6kCjWkjTcbTt2zPm6lrzW/v2mj3X7NmzmYuLC/vrr7/Y1atX2fjx41n9+vXZw4cPhSXcWrduzY4cOcISExPZnTt32Ny5c1mLFi1YWloaS0tLY7m5uYwxvmxcw4YN2e7du1lCQgKbPXs2s7KyYg8fPmSMMXbnzh1mYWHBpk+fzq5du8bCwsKYvb09CwkJEeIJCAhgVlZWbM6cOez69ets586dzMLCQlieLiUlhRkZGbGLFy8Kn/nnn3+YSCRiSUlJjDHGxo8fz6ysrNjYsWNZbGwsi4mJYU+ePGEuLi5s2LBhLCYmhh0/fpx5eXmpLUc3f/585uHhwR4/fsyio6OZRCJhe/fuZYwx9uTJEyaTydikSZPYv//+y+Li4tjo0aNZkyZNWEFBgXBfGxsbNm3aNHbt2jV24MABtdgZY2z06NHM39+fnT59miUmJrLPP/+cSSQSduPGjTL/N+PHj2dDhgx54f9hjY6j7ddPNX728mXt348QPaPJOFpKtBrSNNG6uqp+H9Xk5upa+WfKyclhYrGY7dq1S9hXWFjIXFxc2KpVq4REu2/fPrXPhYSEMF9f3zLXA8A+/vhjteuLRCJhDdoPP/yQNWnSRFiLlTHGNmzYwKysrJhCoWCM8UTbrFkztXMWLFjAmjVrJrzv378/e+edd4T3wcHBrEePHsL78ePHM0dHRyEBMsbY999/z+rXr89ycnKEfX/++SczMjJi6enpjDHGCgoKWNu2bdmIESNYixYt2JQpU4RzN2/eXCb2goICZm5uzg4fPizc18PDQ1jPljHGhg8fzkaOHMkYYywxMZGJRCJ29+5dta9br1692MKFC8t8PfUu0T5+zJhYzL/R3NwYK/W1IKSu0CTRGkwbraHSVa2fJvdNSkpCUVERunbtKuwTi8Xo2LEjrl27hg4dOgAA/Pz8Kn3N1q1bC68tLS1hbW2NjIwMAMC1a9fQpUsXtWFVXbt2RU5ODu7cuQN3d3cAQOfOndXO6dKlC1avXg2FQgFjY2MEBQVh0qRJWLNmDYyNjbFr1y6sXr1aLY5WrVqptcteu3YNvr6+sLS0VLt3SUkJ4uPj4ejoCFNTU+zcuROtW7eGh4cHvvzyS+HcyMhIJCYmqjVJALzzUlJSkvC+RYsWak0Szs7OiImJAQBERUWBMSZUZSsVFBTAzs7uBV9ZPXDwIKCsBh86lI+hJYQ8FyVaLbt8WdcRvBh72tb2onHIpZPTiyjbzpVEIhFKSkrKvW5FMVRk0KBBkEgkCAsLg0QiQUFBAd544w21c56Nubx7l45RSTlb2KNHj/Do0SPhOiUlJWjfvj127dpV5vMNGjQQXlf0/CUlJTA2NkZkZGSZ/gFWVlYVPrNeKN3bmIb1EPJCBtMZimiPt7c3TE1NcfbsWWFfUVERLl++jGbNmj33c6amplXqfdy8eXNERESoLY0XEREBa2truLq6CvvOK3u1lnovk8mE5GRiYoLx48dj69at2Lp1K0aNGgULC4sX3js6OhpPnjwR9v39998wMjISSphJSUl49913sWnTJnTu3Bnjxo0TkmS7du2QkJAABwcHeHt7q21SqbRSz9+2bVsoFApkZGSUuYZednwqraAA+Osv/trWFnjlFd3GQ4gBoERLYGlpiXfeeQfz58/HoUOHEBcXh6CgIOTm5mLy5MnP/ZynpyeSk5MRHR2NBw8eoKCgoFL3mz59OlJSUjBr1ixcv34dv//+O0JCQvDee+/ByEj1LZmSkoL33nsP8fHx+PHHH/HVV19hzpw5ateaMmUKTpw4gYMHD2LSpEkvvPeYMWNgZmaG8ePHIzY2FidPnsSsWbMwduxYODo6QqFQYOzYsejbty8mTpyIrVu3IjY2VqiSHjNmDOzt7TFkyBCcOXMGycnJCA8Px5w5cyq95KKPjw/GjBmDcePGYe/evUhOTsalS5ewcuVK/KVMYgDi4uIQHR2NR48eQS6XIzo6GtHR0ZW6h9YcPw487aGNQYMAE6oUI+RF6KeEAABWrFiBkpISjB07FtnZ2fDz88Phw4fLzA1d2htvvIG9e/eiZ8+eePz4MbZu3VqpxdldXV3x119/Yf78+fD19YWtrS0mT56Mjz/+WO28cePGIS8vDx07doSxsTFmzZqFqVOnqp0jk8ng7++Phw8folOnTi+8t4WFBQ4fPow5c+agQ4cOsLCwwBtvvIE1a9YAAJYtW4abN2/iwIEDAPiMYj/88ANGjBiBPn36oE2bNjh9+jQWLFiAYcOGITs7G66urujVq5dGs4Zt3boVS5cuxdy5c3H37l3Y2dmhS5cuCAwMFM4JDAzErVu3hPdt27YFALWagBpXejYoGtZDSKWImE5/ag1PVlYWpFIp5HJ5mV+s+fn5SE5OhpeXV5mVhohmevTogTZt2qh1RCoPYwxNmzbF//73P7z33ns1E5ye0vr3n0IBuLgAGRmAuTnw4AHwgqp6QmqrinLBs6hESwxWRkYGduzYgbt372LixIm6Dqf2O3+eJ1kAeO01SrKEVBIlWmKwHB0dYW9vj++//77CKm5STai3MSFVQomW6KXS0xE+D7V61CDGVO2zxsbAwIE6DYcQQ0K9jgkhLxYbCygn5AgI4EN7CCGVQomWEPJi1NuYkCqjREsIeTFae5aQKqNESwip2K1bwJUr/HX79oCbm27jIcTAUKIlhFSsdLUx9TYmRGOUaAkhFaP2WUJeCiVa8kKenp4vnKFJU4sXL0abNm309nrkqYcPgdOn+WuZDGjeXLfxEGKAKNESnZg3bx6OHz+u6zCqLD8/HxMmTECrVq1gYmKCobW1pHfgAPB05SJae5aQqqFES3TCysrKMBY5fw6FQgFzc3PMnj0bvXv31nU42kPts4S8NEq0BD169MDMmTMxc+ZM1KtXD3Z2dvj444+fO/PSmjVr0KpVK1haWsLNzQ3Tp09HjnLptKc2bdoENzc3WFhY4PXXX8eaNWtQr1494fizVb0lJSX49NNP0bBhQ0gkErRp0waHDh1Su+adO3cwatQo2NrawtLSEn5+frhw4UK5MV66dAl9+vSBvb09pFIpAgICEBUVpXbO4sWL4e7uDolEAhcXF8yePVs4VlhYiPfffx+urq6wtLREp06d1GarsrS0xMaNGxEUFKT/a8hW1ZMnwOHD/LWTE1CJ1ZEIIWXRFIxa5ufnh/T09Bq/r5OTEy5fvlzp87dv347JkyfjwoULuHz5MqZOnQoPDw8EBQWVOdfIyAjr168X1qOdPn063n//fXzzzTcA+ELq06ZNw8qVKzF48GAcO3YMn3zySYX3X7duHVavXo3vvvsObdu2xZYtWzB48GBcvXoVMpkMOTk5CAgIgKurK/bv3w8nJydERUUJC7I/Kzs7G+PHj8f69esBAKtXr0ZgYCASEhJgbW2NX3/9FWvXrsWePXvQokULpKen459//hE+P3HiRNy8eRN79uyBi4sLwsLC0K9fP8TExEAmk1X662rQjhwB8vP56yFDACP6u5yQKmFEI3K5nAFgcrm8zLG8vDwWFxfH8vLyhH2urq4MQI1vrq6ulX6mgIAA1qxZM1ZSUiLsW7BgAWvWrBljjDEPDw+2du3a537+559/ZnZ2dsL7kSNHsgEDBqidM2bMGCaVSoX3ISEhzNfXV3jv4uLCli1bpvaZDh06sOnTpzPGGPvuu++YtbU1e/jwYbkxPHu9ZxUXFzNra2t24MABxhhjq1evZj4+PqywsLDMuYmJiUwkErG7d++q7e/VqxdbuHBhmfPHjx/PhgwZ8tx715Tyvv9eytixjPFZjhk7eLB6rklILVFRLngWlWi1TFfVipret3PnzhCV6ujSpUsXrF69GgqFosy5J0+exPLlyxEXF4esrCwUFxcjPz8fT548gaWlJeLj4/H6M+15HTt2xB9//FHuvbOyspCamoquXbuq7e/atatQyoyOjkbbtm1hW8k5djMyMrBo0SKcOHEC9+7dg0KhQG5uLm7fvg0AGD58OL788ks0atQI/fr1Q2BgIAYNGgQTExNERUWBMQYfHx+1axYUFBh0u7JGiooA5f+XjQ3w6qu6jYcQA0aJVss0qb41BLdu3UJgYCCmTZuGzz77DLa2tjh79iwmT56MoqIiAHxVHdEzvVNZJVbaKe8zyn3m5uYaxTlhwgTcv38fX375JTw8PCCRSNClSxcUFhYCANzc3BAfH4+jR4/i2LFjmD59Oj7//HOEh4ejpKQExsbGiIyMhLGxsdp1raysNIrDYJ0+DWRm8teBgYCpqW7jIcSAGUSjS3FxMT7++GN4eXnB3NwcjRo1wqeffqrWPicSicrdPv/8c+GcHj16lDk+atQoXTyS3jl//nyZ9zKZrEyiuXz5MoqLi7F69Wp07twZPj4+SE1NVTunadOmuHjxYpnPPY+NjQ1cXFxw9uxZtf0RERFo1qwZAKB169aIjo7Go0ePKvU8Z86cwezZsxEYGIgWLVpAIpHgwYMHaueYm5tj8ODBWL9+PU6dOoVz584hJiYGbdu2hUKhQEZGBry9vdW2Wtvx6VnU25iQamMQJdqVK1fi22+/xfbt29GiRQtcvnwZEydOhFQqxZw5cwAAaWlpap85ePAgJk+ejDfeeENtf1BQED799FPhvaYlpdoqJSUF7733Hv73v/8hKioKX331FVavXl3mvMaNG6O4uBhfffUVBg0ahL///hvffvut2jmzZs1C9+7dsWbNGgwaNAgnTpzAwYMHy5RYS5s/fz5CQkLQuHFjtGnTBlu3bkV0dDR27doFAHjrrbewfPlyDB06FKGhoXB2dsaVK1fg4uKCLl26lLmet7c3duzYAT8/P2RlZWH+/Plq/9fbtm2DQqFAp06dYGFhgR07dsDc3BweHh6ws7PDmDFjMG7cOKxevRpt27bFgwcPcOLECbRq1QqBgYEAgLi4OBQWFuLRo0fIzs5GdHQ0ABj+xBml1541NQX69dNpOIQYPC23F1eLAQMGsEmTJqntGzZsGHv77bef+5khQ4awV199VW1fQEAAmzNnzkvFomlnKEMQEBDApk+fzqZNm8ZsbGxY/fr12QcffCB0jnq2M9SaNWuYs7MzMzc3Z6+99hr7v//7PwaAZWZmCud8//33zNXVlZmbm7OhQ4eypUuXMicnJ+H4s52XFAoFW7JkCXN1dWVisZj5+vqyg890wLl58yZ74403mI2NDbOwsGB+fn7swoUL5V4vKiqK+fn5MYlEwmQyGfvll1/UniMsLIx16tSJ2djYMEtLS9a5c2d27Ngx4fOFhYVs0aJFzNPTk4nFYubk5MRef/119u+//wrneHh4lNsRTVeq7fvv0iVVJ6jAwOoJjpBaRpPOUAaRaENDQ5mHhweLj49njDEWHR3NHBwc2O7du8s9Pz09nZmYmLBdu3ap7Q8ICGD29vbMzs6ONW/enM2dO5dlZWVVeO/8/Hwml8uFLSUlpVYm2pf9A+RFpkyZwrp166bVe9R11fb99+GHqkT7/ffVExwhtUyt63W8YMECyOVyNG3aFMbGxlAoFFi2bBneeuutcs/fvn07rK2tMWzYMLX9Y8aMgZeXF5ycnBAbG4uFCxfin3/+wdGjR59779DQUCxZsqRan6cu+OKLL9CnTx9YWlri4MGD2L59uzDOlui5e/f4mFnGgMGDdR0NIQbPIBLtTz/9hJ07d2L37t1o0aIFoqOjERwcDBcXF4wfP77M+Vu2bMGYMWNgZmamtr/05AstW7aETCaDn58foqKi0K5du3LvvXDhQrz33nvC+6ysLLjRepwvdPHiRaxatQrZ2dlo1KgR1q9fjylTpug6LFIZP/wArFgBnDsHODrqOhpCDJ5BJNr58+fjgw8+EHoIt2rVCrdu3UJoaGiZRHvmzBnEx8fjp59+euF127VrB7FYjISEhOcmWolEAolE8vIPocdKTy1YXX7++edqvyapQfb2wKBBuo6CkFrBIIb35ObmwuiZ6d+MjY3LnX5v8+bNaN++PXx9fV943atXr6KoqAjOzs7VFishhBBSmkGUaAcNGoRly5bB3d0dLVq0wJUrV7BmzRpMmjRJ7bysrCz88ssv5Q5LSUpKwq5duxAYGAh7e3vExcVh7ty5aNu2bZkZiV4Wq8TkDIRUN/q+I0Q/GUSi/eqrr/DJJ59g+vTpyMjIgIuLC/73v/9h0aJFauft2bMHjLFyO0mZmpri+PHjWLduHXJycuDm5oYBAwYgJCSkzKQMVSUWiwHwEjiNzyU1LTc3F4Dq+5AQoh9EjP4M1khWVhakUinkcjlsbGzKHE9LS8Pjx4/h4OAACwuLCidpIKQ6MMaQm5uLjIwM1KtXj5pCCKkBL8oFpRlEidaQKKfoy8jI0HEkpK6pV69e3ZkikhADQom2molEIjg7O8PBwUGYZJ8QbROLxdXWBEIIqV6UaLXE2NiYfvERQggxjOE9hBBCiKGiREsIIYRoESVaQgghRIuojVZDytFQWVlZOo6EEEKIrihzQGVGyFKi1VB2djYA0MIChBBCkJ2dDalUWuE5NGGFhkpKSpCamgpra2thMgrlij4pKSkvHLisrwz9GQw9foCeQR8YevyA4T+DocTPGEN2djZcXFzKzMX/LCrRasjIyAgNGzYs95iNjY1ef2NUhqE/g6HHD9Az6ANDjx8w/GcwhPhfVJJVos5QhBBCiBZRoiWEEEK0iBJtNZBIJAgJCTHoBeIN/RkMPX6AnkEfGHr8gOE/g6HHXx7qDEUIIYRoEZVoCSGEEC2iREsIIYRoESVaQgghRIso0RJCCCFaRIm2GnzzzTfw8vKCmZkZ2rdvjzNnzugkjtOnT2PQoEFwcXGBSCTCvn371I4zxrB48WK4uLjA3NwcPXr0wNWrV9XOKSgowKxZs2Bvbw9LS0sMHjwYd+7cUTsnMzMTY8eOhVQqhVQqxdixY/H48eOXjj80NBQdOnSAtbU1HBwcMHToUMTHxxvMM2zcuBGtW7cWBtp36dIFBw8eNIjYnyc0NBQikQjBwcEG8xyLFy+GSCRS25ycnAwmfgC4e/cu3n77bdjZ2cHCwgJt2rRBZGSkwTyDp6dnmf8DkUiEGTNmGET81Y6Rl7Jnzx4mFovZpk2bWFxcHJszZw6ztLRkt27dqvFY/vrrL/bRRx+x3377jQFgYWFhasdXrFjBrK2t2W+//cZiYmLYyJEjmbOzM8vKyhLOmTZtGnN1dWVHjx5lUVFRrGfPnszX15cVFxcL5/Tr14+1bNmSRUREsIiICNayZUs2cODAl47/tddeY1u3bmWxsbEsOjqaDRgwgLm7u7OcnByDeIb9+/ezP//8k8XHx7P4+Hj24YcfMrFYzGJjY/U+9vJcvHiReXp6statW7M5c+YI+/X9OUJCQliLFi1YWlqasGVkZBhM/I8ePWIeHh5swoQJ7MKFCyw5OZkdO3aMJSYmGswzZGRkqH39jx49ygCwkydPGkT81Y0S7Uvq2LEjmzZtmtq+pk2bsg8++EBHEXHPJtqSkhLm5OTEVqxYIezLz89nUqmUffvtt4wxxh4/fszEYjHbs2ePcM7du3eZkZERO3ToEGOMsbi4OAaAnT9/Xjjn3LlzDAC7fv16tT5DRkYGA8DCw8MN9hnq16/PfvjhB4OLPTs7m8lkMnb06FEWEBAgJFpDeI6QkBDm6+tb7jFDiH/BggWsW7duzz1uCM/wrDlz5rDGjRuzkpISg4z/ZVHV8UsoLCxEZGQk+vbtq7a/b9++iIiI0FFU5UtOTkZ6erparBKJBAEBAUKskZGRKCoqUjvHxcUFLVu2FM45d+4cpFIpOnXqJJzTuXNnSKXSan9muVwOALC1tTW4Z1AoFNizZw+ePHmCLl26GFTsADBjxgwMGDAAvXv3VttvKM+RkJAAFxcXeHl5YdSoUfjvv/8MJv79+/fDz88Pw4cPh4ODA9q2bYtNmzYJxw3hGUorLCzEzp07MWnSJIhEIoOLvzpQon0JDx48gEKhgKOjo9p+R0dHpKen6yiq8injqSjW9PR0mJqaon79+hWe4+DgUOb6Dg4O1frMjDG899576NatG1q2bGkwzxATEwMrKytIJBJMmzYNYWFhaN68uUHErrRnzx5ERUUhNDS0zDFDeI5OnTrh//7v/3D48GFs2rQJ6enp8Pf3x8OHDw0i/v/++w8bN26ETCbD4cOHMW3aNMyePRv/93//J9xb35+htH379uHx48eYMGGCQcZfHWj1nmqgXC5PiTFWZp++qEqsz55T3vnV/cwzZ87Ev//+i7Nnz5Y5ps/P0KRJE0RHR+Px48f47bffMH78eISHhxtE7ACQkpKCOXPm4MiRIzAzM3vuefr8HP379xdet2rVCl26dEHjxo2xfft2dO7cudx761P8JSUl8PPzw/LlywEAbdu2xdWrV7Fx40aMGzfuuffXp2cobfPmzejfvz9cXFzU9htK/NWBSrQvwd7eHsbGxmX+esrIyCjz15quKXtdVhSrk5MTCgsLkZmZWeE59+7dK3P9+/fvV9szz5o1C/v378fJkyfVliQ0hGcwNTWFt7c3/Pz8EBoaCl9fX6xbt84gYgd4lV1GRgbat28PExMTmJiYIDw8HOvXr4eJiYlwD31/jtIsLS3RqlUrJCQkGMT/g7OzM5o3b662r1mzZrh9+7Zwb31/BqVbt27h2LFjmDJlirDPkOKvLpRoX4KpqSnat2+Po0ePqu0/evQo/P39dRRV+by8vODk5KQWa2FhIcLDw4VY27dvD7FYrHZOWloaYmNjhXO6dOkCuVyOixcvCudcuHABcrn8pZ+ZMYaZM2di7969OHHiBLy8vAzuGcp7poKCAoOJvVevXoiJiUF0dLSw+fn5YcyYMYiOjkajRo0M4jlKKygowLVr1+Ds7GwQ/w9du3YtM6ztxo0b8PDwAGBYPwdbt26Fg4MDBgwYIOwzpPirTY11u6qllMN7Nm/ezOLi4lhwcDCztLRkN2/erPFYsrOz2ZUrV9iVK1cYALZmzRp25coVYajRihUrmFQqZXv37mUxMTHsrbfeKrdLfcOGDdmxY8dYVFQUe/XVV8vtUt+6dWt27tw5du7cOdaqVatq6VL/zjvvMKlUyk6dOqU2NCA3N1c4R5+fYeHChez06dMsOTmZ/fvvv+zDDz9kRkZG7MiRI3ofe0VK9zo2hOeYO3cuO3XqFPvvv//Y+fPn2cCBA5m1tbXwM6nv8V+8eJGZmJiwZcuWsYSEBLZr1y5mYWHBdu7cKZyj78/AGGMKhYK5u7uzBQsWlDlmCPFXJ0q01WDDhg3Mw8ODmZqasnbt2gnDUWrayZMnGYAy2/jx4xljfFhASEgIc3JyYhKJhHXv3p3FxMSoXSMvL4/NnDmT2draMnNzczZw4EB2+/ZttXMePnzIxowZw6ytrZm1tTUbM2YMy8zMfOn4y4sdANu6datwjj4/w6RJk4TvgwYNGrBevXoJSVbfY6/Is4lW359DOSZTLBYzFxcXNmzYMHb16lWDiZ8xxg4cOMBatmzJJBIJa9q0Kfv+++/VjhvCMxw+fJgBYPHx8WWOGUL81YmWySOEEEK0iNpoCSGEEC2iREsIIYRoESVaQgghRIso0RJCCCFaRImWEEII0SJKtIQQQogWUaIlhBBCtIgSLSGEEKJFlGgJIYiPj4eTkxOys7MBANu2bUO9evVqPI6CggK4u7sjMjKyxu9NiLZQoiWkFpkwYQJEIhFEIhHEYjEaNWqEefPm4cmTJxV+7qOPPsKMGTNgbW1dQ5GWTyKRYN68eViwYIFO4yCkOlGiJaSW6devH9LS0vDff/9h6dKl+OabbzBv3rznnn/nzh3s378fEydO1HpshYWFLzxnzJgxOHPmDK5du6b1eAipCZRoCallJBIJnJyc4ObmhtGjR2PMmDHYt2/fc8//+eef4evrq7b2r9K+ffvg4+MDMzMz9OnTBykpKcKxpKQkDBkyBI6OjrCyskKHDh1w7Ngxtc97enpi6dKlmDBhAqRSKYKCglBYWIiZM2fC2dkZZmZm8PT0RGhoqPAZOzs7+Pv748cff3z5LwYheoASLSG1nLm5OYqKip57/PTp0/Dz8yuzPzc3F8uWLcP27dvx999/IysrC6NGjRKO5+TkIDAwEMeOHcOVK1fw2muvYdCgQcIC5Uqff/45WrZsicjISHzyySdYv3499u/fj59//hnx8fHYuXMnPD091T7TsWNHnDlz5uUenBA9YaLrAAgh2nPx4kXs3r0bvXr1eu45N2/eRPv27cvsLyoqwtdff41OnToBALZv345mzZrh4sWL6NixI3x9feHr6yucv3TpUoSFhWH//v2YOXOmsP/VV19Vq7q+ffs2ZDIZunXrBpFIJCxoXpqrqytu3rxZlUcmRO9QiZaQWuaPP/6AlZUVzMzM0KVLF3Tv3h1fffXVc8/Py8uDmZlZmf0mJiZqJd2mTZuiXr16QtvpkydP8P7776N58+aoV68erKyscP369TIl2mdLyxMmTEB0dDSaNGmC2bNn48iRI2XubW5ujtzcXI2emxB9RSVaQmqZnj17YuPGjRCLxXBxcYFYLK7wfHt7e2RmZpZ7TCQSPXff/PnzcfjwYXzxxRfw9vaGubk53nzzzTIdniwtLdXet2vXDsnJyTh48CCOHTuGESNGoHfv3vj111+Fcx49eoQGDRpU6nkJ0XeUaAmpZSwtLeHt7V3p89u2bYu4uLgy+4uLi3H58mV07NgRAB9r+/jxYzRt2hQAcObMGUyYMAGvv/46AN5mW9nqXhsbG4wcORIjR47Em2++iX79+uHRo0ewtbUFAMTGxqJt27aVfgZC9BlVHRNSx7322ms4d+4cFAqF2n6xWIxZs2bhwoULiIqKwsSJE9G5c2ch8Xp7e2Pv3r2Ijo7GP//8g9GjR6OkpOSF91u7di327NmD69ev48aNG/jll1/g5OSkNkHGmTNn0Ldv32p9TkJ0hRItIXVcYGAgxGJxmaE5FhYWWLBgAUaPHo0uXbrA3Nwce/bsEY6vXbsW9evXh7+/PwYNGoTXXnsN7dq1e+H9rKyssHLlSvj5+aFDhw64efMm/vrrLxgZ8V9H586dg1wux5tvvlm9D0qIjogYY0zXQRBCdOubb77B77//jsOHD+s6FAwfPhxt27bFhx9+qOtQCKkW1EZLCMHUqVORmZmJ7OxsnU7DWFBQAF9fX7z77rs6i4GQ6kYlWkIIIUSLqI2WEEII0SJKtIQQQogWUaIlhBBCtIgSLSGEEKJFlGgJIYQQLaJESwghhGgRJVpCCCFEiyjREkIIIVpEiZYQQgjRov8HontPqZ/PUtcAAAAASUVORK5CYII=", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptt.residualT_plot(Results = minimum_v120, P_bar = P_bar, phases = phases, interpolate = False, ylim = [0, 100])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The graphs above indicate that if we were to use the rhyolite-MELTS v1.2.0 model to determine the storage pressure of this magma we'd get a result between approximately 5500 and 6000 bars. Notably, this is around 5000 bars higher than the true experimental pressure and the result obtained using the rhyolite-MELTS v1.0.2 model. So, does this mean that these calculations should be performed using the rhyolite-MELTS v1.0.2 model only? Unfortunately things arn't quite that simple, as analysis of ~40 plagioclase - 2-pyroxene saturated melt compositions in Wieser et al. (2023) indicate that there is a very poor correlation between experimental pressure and the pressure determined by the the MELTS geobarometer for both MELTS models." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![alt text](P2P_review.jpg)" ] } ], "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": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 2 }