{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook is used to develop routines for building the time-dependent scale factors and depths in NEMO with variable volume (vvl)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import netCDF4 as nc\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from salishsea_tools import viz_tools, grid_tools\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The vertical grid spacing in NEMO with variable volume is time-dependent. NEMO dsitributes the expanssion/compression of the water column equally across all water cells according the this formula:\n", "\n", "$e3t_t = e3t_0(1 + \\eta / H) $\n", "\n", "where $e3t_t$ is the time dependent vertical grid spacing, $\\eta$ is the sea surface height and $H$ is the water column depth. $e3t_0$ is the initial vertical grid spacing which is stored in the mesh mask file. It is the grid spacing if the sea surface heigh were zero. Also, \n", "$H = \\sum_{k=0}^{jpk} e3t_0 *tmask$\n", "where *tmask* is the mask on the T-grid and $jpk$ is the last grid cell.\n", "\n", "\n", "The grid spacing on the w grid also follow this simple formula, as well as the depths.\n", "\n", "$e3w_t = e3w_0(1 + \\eta / H) $\n", "\n", "$gdept_t = gdept_0(1 + \\eta / H) $\n", "\n", "$gdepw_t = gdepw_0(1 + \\eta / H) $\n", "\n", "Where $e3w$ means vertical grid spacing on W grid, $gdept$ means depth levels on T grid and $gdepw$ means depth levels on W grid. the underscore 0 indicates initial values from mesh mask file and underscore t means time-dependent. Note that in this formulation gdepw_t(k=0) = 0 always, so these depths can be thtough of as a pressure. To find the depths relative to $\\eta=0$ you just need to subtract the sea surface height. See this notebook:\n", "\n", "The U/V grids are slighlty more complicated and will be considered later. Basically, the ssh has to be interpolated onto the U/V grids.\n", "\n", "Functions:\n", "1. Calculate the water column thickness\n", "2. Calculate adjustment factor, $adj = 1 + \\eta / H\n", "3. Calculate time-dependent grids\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Loading Data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mesh_mask = nc.Dataset('/data/nsoontie/MEOPAR/NEMO-forcing/grid/mesh_mask_SalishSea2.nc')\n", "grid = nc.Dataset('/data/nsoontie/MEOPAR/NEMO-forcing/grid/bathy_meter_SalishSea2.nc')\n", "\n", "bathy = grid.variables['Bathymetry'][:]\n", "# Sample file for testing calculations\n", "fT = nc.Dataset('/results/SalishSea/nowcast/01apr15/SalishSea_1h_20150401_20150401_grid_T.nc')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ssh = fT.variables['sossheig']\n", "tmask = mesh_mask.variables['tmask'][:]\n", "e3t_0 = mesh_mask.variables['e3t'][:]\n", "gdept_0 = mesh_mask.variables['gdept'][:]\n", "gdepw_0 = mesh_mask.variables['gdepw'][:]\n", "e3w_0 = mesh_mask.variables['e3w'][:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating $H$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def calculate_H(e3t0, tmask):\n", " \"\"\"Calculate the initial water column thickness (H).\n", "\n", " :arg e3t0: initial vertical scale factors on T-grid.\n", " Dimensions: (depth, y, x).\n", " :type e3t0: :py:class:`numpy.ndarray`\n", "\n", " :arg tmask: T-grid mask. Dimensions: (depth, y, x)\n", " :type tmask: :py:class:`numpy.ndarray`\n", "\n", " :returns: the initial water column thickness. Dimensions: (y, x)\n", "\n", " \"\"\"\n", "\n", " H = np.sum(e3t0*tmask, axis=0)\n", "\n", " return H" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check\n", "Timing" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10 loops, best of 3: 38.9 ms per loop\n" ] } ], "source": [ "% timeit H = calculate_H(e3t_0[0,...], tmask[0,...])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot $H$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(898, 398)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iV7Px0u6UbwiDuHjIj0dTqIMh+GxLjzNRL1W2vpYfjy4hxGp4fKoDVhdiW8o2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "H = grid_tools.calculate_H(e3t_0[0,...], tmask[0,...])\n", "print(H.shape)\n", "plt.pcolormesh(H)\n", "plt.colorbar()\n", "plt.title('Water column thickness')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## Calculating adj" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def calculate_adjustment_factor(H, ssh):\n", " \"\"\"Calculate the time-dependent adjustment factor for variable volume in\n", " NEMO. adj = (1+ssh/H) and e3t_t = e3t_0*adj\n", "\n", " :arg H: Water column thicnkess. Dimension: (y, x)\n", " :type H: :py:class:`numpy.array`\n", "\n", " :arg ssh: the model sea surface height. Dimensions: (time, y, x)\n", " :type ssh: :py:class:`numpy.ndarray`\n", "\n", " :returns: the adjustment factor with dimensions (time, y, x)\n", " \"\"\"\n", " with np.errstate(divide='ignore', invalid='ignore'):\n", " one_over_H = 1 / H\n", " one_over_H = np.nan_to_num(one_over_H)\n", " adj = (1 + ssh * one_over_H)\n", " return adj" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check\n", "Timing" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 loop, best of 3: 111 ms per loop\n" ] } ], "source": [ "% timeit adj = calculate_adjustment_factor(H, ssh)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(24, 898, 398)\n" ] } ], "source": [ "adj = grid_tools.calculate_adjustment_factor(H, ssh)\n", "print(adj.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adjustment factor should be >1 when ssh >0. Quickly visualize." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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B/foUK1YMc3NzOnTokGlH6tuZMzl8+DDFiztRp04XbGy6smZNFQYOGPDcu1JS\nUoiNjSU5OZnDhw9Tu3ZtbGxssu8LyQIajYbdu3cTFRXFSaB78eLcSUhg9JUr3C1dmq3LluHkpB7N\nl23kY/ulRsyyASklXl5e/Pbbb/j6+nH5cgDW1tbY2VWialVHihe3omjR4gQGXuWbb6aktVuyZDUj\nRw7MlCw/Pz+uX7/O5cuX+fXX36hTpy7nz5/DyakOf/65Hh8fHzZs2MCKFSvQ09NDV1eX+Ph4Bg8e\nw5Il32V31/9DSkoKd+/eTbvX0dHB09OTwMBAZsyYgbOzM1MmT0ZKyaDBgzExMWHevHl06dJFPavv\nFWQ5YpaFKSlx61aeGHHmBB9SxOxNhIeH8/3333MlMJBdu44jhA4mJtUxM2uErq4O5ubVSU1NIDJy\nKrdu3QJIO0ItMzx9+pRjx44RERHB2nXruHjxDpaWVQkP/4dzXl6YmZmxZs0aFv/yC2FhYQghMDMz\n4+nTp0RHRb2Dnv+Xhw8fkpCQ8Nz96dOn+fW334iJiWFswYK4Wlkx6NIlzkRGMtLNja+++gqTLBwh\nlF/IUsQsH9svNWKWDQghqFevHvXq1QOUkZWnpycBAQEsW7aMhw8fcunSlbQBQOPGzty9eydLB3A7\nOjri6OhIt27dGDBgAB07duTu3RCKFi1KgQIFKFWqFO3bd2TatBk8fHifjRs9MDMzx8WlZXZ2OY3o\n6Gi+mjaNI8eOAUpUTKPRpK2teLZT1O3zz9mzezcuLi7cvn0b5+bN+eqrr/jf//73TvRSIV+POFUy\nR+HChZkzZ07afVBQEFevXmXL1q2sXr2aWrV2Urz4R/j6ulK4cGESEopQPZMRfwALC4u06NuAAQOY\nPXs2X7m74+zsjI2tLRYWFrRr1w5z847Y2FTB13cZjx/f5JMRg7Otry+yceNG5i9YQGJiYtrA8lky\nXo1GQ0hICCOGD2ecnh6dK1WisL4+w/z9SapalaeHDqGnp/4z+k7Ix/ZL/Yt6B+jo6NCoUSMaNWrE\n8OHDGTVqFFWr2rN+/V907dqbwMAA2rTphpVV5SzLSE1NZcOGDdy8eZNPPx1Fy5YtuXbtGqmpqTx6\n9JgpUyYASoStWrX/JGt/JUlJSXh6elK7du0MjQD79u1LfFwcK1esQF9fHwMDAypXrpwW/UpOTiY+\nPh5TU1MAzp8/T5euXfn4448ZPnx4FnqukmHysWFTeTtsbW2xtbWlQ4cOdO/Wje49hlKixHDq1NmF\nr283hg8sP6vJAAAgAElEQVTrQ5s2bd5KhpeXF2v++IOiRatTuPBkmjfvRkzMPXR1++LjUwOABfPn\nM3LkyEwtw/D398fY2JiKFSu+se6mTZsY7OrK5po1Kam1UTalS1MwnbMVVqkSRUJCoGxZIpKTcfX1\n5bqVFbvWr1edsndJPrZf6lRmDrF69WqGDh3KkycRbNmyhfXrPYiMfMrZsycwMDB4bdvo6GgOHTpE\n7dq1WbFiDcHBV/Hz8+PSJX86derEjh07aNGiBampqRw/fpzChQuzdu0Gunfvwldffc3kyRMypOPd\nu3dxadUKiXJEUnq96terRwkrK5KTkzly5AhxcXFYWVkRHBxMZEREmuO1bds2Nm7aRGsXF/r165fW\nPjIyEnd3d7Zs3crcuXMZOHCgOnWZQbI8lWlnl3lZ167liamAnCAvTWW+iZCQECpUrErNmqsoVMiS\nsLDj+Pq6c/vWLcqWLfvatlJKjh8/jpmZGXfv3mXjpk1ERESwe/duChUqS5EiOsTExFCtWjWOHDmC\nELpUqzacunWSuXzlCtv//jtDm6eklIwZM4bNW7aQmJhIcnJyWlmpUqVwcnJCCIGfnx/BwcEUKVKE\nkJAQllarxv+srQG4HRvLrOvXAfjZwQFdrY2SwF/37jHx2jU6DRzI7NmzKZyFI4PyK1mayszH9kt1\nzHKQtm3bcvToUdq0aUuvXn35+uuvKF26LH379nquXvny5alZsybGxsZs3LgRNzc3bG3t8fO7iIVF\nYSpWrMj9+/eIiYmhadOmdOnSJc0JCgwMxN7enmPHTvDPP//w1VdTSUhIeOO27cDAQJydnenbuzc/\n/Pgj8fHxaLT/6CQlJXHo4EGStIbOyckJKysrvL29qVOnDgULFiQ1NZWdO3fSvUcPRo8ezYYNG4iI\niEh7v46ODoMHDmTOvHnqmX2ZJMuOWeXMR2RFYGCeMGw5QX5yzEAZXA4ZOgJz8+rY2o6gbNmD7Nq1\nix9e2E1ZoEABWrZsiaWlJdeuXWPI0KGEh4cTHx9PTEwMxsaV0GhSePr0Gi1aNMa+cmVmz56NsbEx\nsbGxWBYtStGiDWjRYjFr1lTB488/6d2792t1S01NpXefPvj5+XGyQgUs9PVJfPb/RqPhYmQkd+Lj\nAShuaEh9CwuCYmOx0NenvDbH2KPEROpevUrz5s3x8vLiWmAgz34IEqhZuza/LF5M3bp1s/urzfNk\nyTHLx/ZLdcxymAcPHjBhwgQCAgLo3r0nwcHB6OrqICUIARqNxMvrLLdu3SQ1NRU7u0oMGTKMkSNH\nceHCOZo2bcTAgQMpWrQoX3zxBUW0WabT4+rqyv79ByhQwIj585fQp0+H1+p08+ZNatSoweSJE5k0\neXLa8yNHjrDs11+pVbMmQgiSk5Px9fOjWdOmNG/enLt37+Lj44NGo+GvjRt5+PAhi3/+mR69er1G\nmkpmybJj5uCQeVmXL+cJw5YT5DfHDJTNPVu2bKFP377UqjWbFi3CCQsLQy+dY3bv/n3Onj1LTEwM\nZmZmdPjoI4yMF6KvX5A//qiGk1MZypcrx4ABA2jYsOF/ZGzatInBQ9zQaJIY0L8bS5cufWN0vVPn\nzjx8+JDDRYtSSDu9+DQpic8uXcLayCjt2ZWYGEoYGtKhWDFMdHU5EhZGskZDQHQ0mx88oGe/fqxe\ntUqN5mczWXLMstF+CSHaAgtRTjtaKaWc90K5KbAOKAvoAguklKszrUA2oTpmuUB0dDSLFi1i586d\nnDlzhlmz5jB58iROnz5Nz549MDU1JSkpifDwcIoVK0ZsbCynT3vSqlUrunbtznffzXmzkDdw/fp1\nhBA8efKEXxYvJvDqVc55eaWVb9++nX79+zNs2LDnpjRLlCjB6VOn8L90CWNjY5o3a4aegQFOTk70\n6NFDNWjvgCw7Zs8SYGam3aVLqmOWQfKjY/aMTZs24enpyY8LFwIwerRETw/Wr69FcnI0QugSHR1C\noUKliYi4TufO27l37xQREVvwvnjxrZNwR0ZGcuPGDQwNDbl69SrdunfnduvWlH0W/YqLo6WnJ2Ua\nNaJG9epp0X9LS0sePHjAgZUrSZGSBj16UKxoUczNzfn0008xMzN7uy9G5aVkyTHLJvslhNABrgEt\ngfvAOaCPlDIwXZ3JgKmUcrIQwhK4ChSXUqZkWolsQHXMcgkpJR06dMDQ0JhVq1Zx584d2rVrTfv2\nHzFunFtavcuXL9O9e3eGD/+E/fv3cuPGjbdOwnj69GkaNWqUtkC2cqVKDB06lDZt2uDn58fSpUvZ\num0bc+fOZfDgd7cbSiVjZNkxy8KuOeHnpzpmGSQ/O2YAW7ZsoVfvvgwaFEyhQmXYs6c3ERHHOHrk\nyHM2yt7BgdKlmxEX58/WLVvSjmB7G6xKluThw4eUKFECOzs7OoSH41ahAkkaDXOuXeNoaCiGNWpw\n6OBBdbD4HpAlxyyb7JcQoj7gLqVsp72fBMj0UTPts9JSytFCiPLAfill5he5ZRMZ2lIihHADhgIa\nwB8YDBQE/gKsgVtALyllpLb+ZGAIkAKMlVIeyHbNP3A8PDy4cOECly5dwcTEhEGDBuDqOoB582Y/\nV69SpUps1W5Z/+mnn7IlM3aZMmUA8Dp79rkjnPbv38/Hrq4MGDCA3377jY4dO761LJVcJB/vakqP\nar+yn/j4eHr36UPHjlsxNy+Lj88vJCef4/atW//ZQRl8/TrffPsthS1q0rhx42yRX6ZMGQaamjK7\nShV0hABLS+7FxzPowgViKlRg2Pjxam7ED53ss1+lgJB093eBFxcKLgZ2CCHuAybA6xc1vmPe6JgJ\nIUoCY4DKUsokIcRfQF/AATgkpfxOCDERmAxMEkI4AL0Ae6A0cEgIYZuvw2Mv4aeffmLEiJFpC+Gj\noqKwtq7wn3pCCLp27ZqW+yezpKSkEBoaSgnt8SEAFy9eRE9PL22KMjY2lkGDBnHR25u1a9fSvn37\nLMlSUXnfUO3Xu2H9+vUYG5ekYsVO6OhAUlIEdnZ2vOxrqlChAqtXrcqyrEePHlG4cGH09fXTnp0/\nf56Bjo4kazQY6uqy/OZNJgcEMHL8eKZMmZLrp5yofHC0AbyllC2EEBWBg0IIRyllTG4ok1GXVBco\nKITQA4yAe0BnYI22fA3QRfu5E+AhpUyRUt4Cgvivd5rviYiI4Nq1a2kJDFNTUxk1ajgPHjzIVjlN\nmjTBysqK8Z99hq+vL76+vpQoUQJHR0fsKlXi0qVL7Nq1Cx9fXy5duqQ6ZXkJHZ3MX3kT1X5lM5GR\nkWg0qUREXEVKSWzsfQ4cOMAvv/ySrXKWLVtGCSsrqjk6cvHixTQb9tX06Yz29WX65cskSMnnV6+y\n9cABvv32W9UpyytkwF4di41lxsOHadcruIeyqP8ZpbXP0jMY2AogpQwGbgJZTzT6lrwxYialvC+E\nWADcAeKAA1LKQ0KI4lLKR9o6D4UQxbRNSgGe6V5xT/tMJR1r1qyhfv36zJ+/hJs373Dz5g0AzM3N\ns1VOQEAAXv/8w4Rp0zgwYEDac11dXSZNnMiTJ08Y+/nnTJk0STVoeY2862hlGNV+vRvc3NyYv2AB\nt24dxczMjps3NwDgkIWddK8jICCAH2vW5GrdugweMuS5so8//phWISH0OXuWatWqvXSHp8oHTAbs\nl7OZGc7pNmx8/XLn7BxgI4SwBh4AfVCi5um5DbQCTgkhigN2wI0s6Z0NZGQq0xxldGkNRAKbhBCu\nKKld0pPpUP+MGTPSPjs7O+Ps7JzZV3ywuLu7M3ToCEqWNGXNmn9YtWod48aN4Y8/dvHJJz2zTY6O\njg62Dg4c1R6ZNGfOHNatX4+drS1bt21j1erVzJ8/H1dX12yTqfJ2HDt2jGPa/19vheqYvVP7BfnX\nhm3evJmwsGgaNx7MnTuHaNBgGnfueLJi5UratGmTrRnxdYVgaWQkODjwz+PHfOXvj0Q5w7JTaChD\nP/mE1bNmqVn43yOyxYZlk/2SUqYKIUYDB/g3XcYVIcQnSrH8DZgJrBZC+GmbTZBShmeLAlngjbsy\nhRA9gDZSyuHa+/5AfaAF4CylfCSEKAEclVLav7jjQQixD2VHxNkX3ptvl20sWbKE0aNH8+jRY+bN\n+54FC76jYsWKBAcHAzB79gImTx6XLbJMTU3ZsnkzLi4uyNRUCpmbU9fJicFDh2JtbU2NGjUwMDCg\nQIEC2SJPJfvJ8q7M+vUzL+vMmTy1K/Nd2S9tWb7clenn50f7jz7CyekrSpaswdKl9ShVqhT37t1D\nT08PW1tb/Hx9s8VRGjt2LOE7drCqXj30dHSYHRDAVH9/tmzeTEpKCq1bt0476Fzl/SVLuzLzsf3K\niEt6B6gvhCgglC0uLYHLwA5gkLbOQGC79vMOoI8QwkC77dQG8EIljbFjx3L+vDd79+5j27bNBAUF\n4ePjw4gRIzA1NcPEJPumM6tUqULrNm2UxJBbtxIbG8uwQYPo378/xYoVo1SpUpQpXRr3adO4efNm\ntslVeQ9Q15iBar+ynSVLllCuXHecnAbw668N2LB+PXdDQli3di2FCpWmTJky2bYbskmTJqy7fZv9\nDx8ipWSqvz8tWrSga9eu9OrVix49e2JRuDD9Bwxgz549L918oPKBko/t1xt7IqX0AjYD3oAvIIDf\ngHmAixDiKoqxm6utfxnYiGL89gCf5tvQ2EvYtGkTRkZGODg4EBkZSatWLtjY2GBiYsKvv/5KZGQE\nY8YMefOLMkhAQAArly9HT0+P2k5O2NvbM2P2bJo0bkzDhg3p37cvq1aswGPjRipUqMCNG7k2ra6S\n3eRjw/YM1X5lLzExMaxes4bKldujo5OCvr4+ffsqy3VcXV0JD7vB/n37siWtD8DZs2epV6QIH5Us\nCTo6DB82DB8fH1q2akVle3vOnz/PzU6diIqK4qMOHZg/f362yFV5D8jH9itDsWYp5dfA1y88DkdZ\nLPey+nOAt09Pn8fw9PRk8ODBLFmyDH19fX7++Sc6duz0TmU6ODhwzsuLr2bM4PvvvsPXx4cVK1bg\n7e1Nj+7diXj6lJ59+1K8eHF++uknypUr9071UclB8pChehtU+5U9JCYm0qJlS8qVc6ZKlTYcO7bg\nuRQW7wIHBwdWREUx3scHr7Awjru4MMLJiR+uXqWthQWGFSvS6+RJvMLCGDhwIAPSbXBS+cDJx/ZL\nXS2Zg1y4cIHY2Fisra3p378fKSkaoqIS36nMGzducP36dcLCwrgbEoK+vj6zZs/GzMyMOyEhWFtb\ns3XrVtq2basmY8xr5GPDppL9REdHc+7cOfr1+4sNGwaQmppEvPZg8HfFjRs30ADzA9NOz+HQo0d4\n3LlDeOXKGBoaMmT4cA59/DGFChV6p7qo5DD52H6pjlkO8sUXX+DqOoCfflqIp+dp2rRpw/jxo9+p\nzAsXLjBixAj27dvHmrVrGT9hAtZly1KnTh0W/vTTO5WtksvkY8Omkv18/fXX2NvbExt7j/Pn1zJo\n0CDcPv/9ncqcPn06BQoUYNr06QAkpKZiaWiIlZUVmzZuVJ2xvEw+tl+qY5YDREdHs2DBAgoUKICP\nz0Wsra05f/48pUq9+/RIZcqU4cyZM1SysyMgIIB58+axZs0aqteogYmRETPnzn3nOqjkEvnYsKlk\nH1JKzp49y+JffqFRo5F4en7H7l27ciQZtYGBAWFhYXQpU4a/Q0Kw2LyZuF69OGBtjXW5cjx6+PCd\nT6eq5BL52H6pjtk7JiUlhYoVK2JoaMjHH/dn2bJfWLlyBSVLlnyr92o0Gry8vHBwcMDU1PSV9fz8\n/IiMjOTogQNs3LyZuk5OFChQgLi4OMpX+O8RUCp5iHxs2FSyj0mTJvHzokVUq9aFU6eW4v7VVzRq\n1Oit33v9+nUAbGxsXlknNTWVI0eP8omVFQ1Hj0ZHRwfh7c2DY8ewtLRUc5flZfKx/cq/Pc8hNBoN\nYWFhNG/enMjICBwdHenYsSML5s17c2MtsbGx7N69m4cPH7J582b69+mDpaUlDRo0oGGDBoBiwA4c\nOEBISMhzbTt16sSsmTOpXrs2TnXr8udff3H50iVKlizJOS81C4CKisrrefzkCVWqVMHGpgTVqlXj\n7+3baZhJx+z06dMEBARw9uxZpkyZQtVq1ajt5IStnR1+fkpOz0uXLuHp6flcuzlz5pB86xZDKlak\n2+nT3Fy+nOXBwdSztCQoKIikpKRs66eKyvuCOtx4xxgYGODt7c3JkycZNWoUu3bt5vHDB3w7axaf\nf/nlG0d8QUFBtGjeHGNDQ65pU1k4VK5M08aNOe3pSe8+fUhJSaFBnTokJCVxNSiIa9euUa5cOU6c\nOMHdu3f5/PPP+XvbNkaNHs2nn37KgMGDMTYyIlE1anmbfDziVMk+Fv74Izt27GDAwIGULVuWS/v2\nYV61Kp6enjTQDgxfhUajwbVfPzw9Pbl9+zYAZgYGNC1RAl09PXB0xMbGhoULFzJr9mxSU1OZPm0a\nbm5uJCUl8dvy5cypWhVdIaiybx9fjBvHHydOEH7/Pvr6+mresrxMPrZfqmOWAzg6OnLkyBH09PRo\n364tACNHjWLn9u107d49rV5qaioeHh4EBgbyz9GjhIWFEXTjBtMmTmT0p58ycepUtu/aRaqU2NjZ\n4fbFF2zz8MCpVi18/f3RxMczYdIkbGxsOH78ON7e3tSuVYsCBQpgaGBAXFwcbm5ujBo1Ck9PT1q0\naJFbX4lKTpCPDZtK9mFmZkbbtordWjNrFoV0dBgxfDgLfviB9evWYWhomFb3/PnzHDt2jOP//EN0\ndDTnz5/Hzs4OH2dnNt64wW9XrnAhNJSiLVvSp2VLANp/9BHHjx/nT2dnKpiaUu+LL3j06BHjxo0j\nJCSExnXqIHR0EEJQv359vv32W44ePUr58uXVE0vyMvnYfuXfnucw/fr1IyUlBTQahJRs37qV7j17\nEhkZmVZn3759fOnmRkJ0NJPc3AgIDKS9iwvTp05lxNChLP/9d5o0acIvv/xCoYIFGTduHH/v3s33\ns2Yx0NWVmvXr893cuUyZMIHGjRszZ84cvM6dIykpifbt22NkZERYWBiFCxfmo48+Ug8tz+tkU4JG\nIcRKIcSjdOfIvVj+sRDCV3udFEI4pitrK4QIFEJcE0JMfEc9VXnHFC1aFGdnZ27euQMaDdO7dyco\nKIjff39+V6Zz8+Zcv36dLlFRBJ07R2xsLJ61auHZqxefnDhBkpUV69aupXbt2hw+fBjXfv3or9Ew\nb948+h47RikjI3bt3MmmzZupVLkyAP4REejq6DB61Ch8fX3R0dGhZcuWVFDXyOZt1ASzKu8aS0tL\nKlWqRAUbG2a4uzNwwACKFCny3BoJHR0dHj55Qt26dWnXqRO3Ll+mTIUKoKPDgoULOXTqFFu2bOHW\nrVs0atiQrl264OrqSnlra2rVq8eSZcsQhoZ8M2sWg4cN488//6RWrVpcuXKFb77+GiklhQsXzrTu\nyxcv5vbdu4yfPFk9k+5DIvsM1SpgEfDHK8pvAE2llJFCiLYomfXrCyF0gMUomfXvA+eEENullIGv\neI/Ke0z7du0YOX06nt7ezP/8c1q2aPGfPGaxsbHc2L2bJe3b06diRWJTUjDU1aXVtm18VrUqP/v7\n8+PChZQNDaWWpSXbXVzoZG0NQUFo6tRBT1eXj7Zvp3HDhuy/e5egyEjalS7N5+fOsebBA1auWJFp\nvb29vVm9ejX9+vWjTp062fV1qLxr8pCjlVneeIj5OxOcDw8xT05O5ocffmDSpEkkxcdjU6kS306b\nxoDhwwFlPYauri5tmjdn39698ML6s+TkZPT09BBCEBQUxKNHj2jUqBEBV64Qcvs21tbW+F+6xM2b\nN/lh4UKioqLQ09MjPj6ePj17suTXXzEzMyMoKAiXVq0ICw+nVfPmdOrQgU7du2NhYUFKSgoGBgZp\nMlesWMH48eNxrFoVfX19Dhw6hE4+/sHkBlk+xLxLl8zL+vvvl8oSQlgDO6WUji9plr6eOeAvpSwj\nhKiPcgB4O23ZcweEf+jkx0PMg4ODsbG1ZeMPPxAQEcGx48c5dvRoWrmbmxsLf/qJ5GHD0HvBTkgp\nSZESfR0d4lNS2BcSQrtSpUhITeXw/fvUsrTkYmgoMcnJ/HL5Mj7h4Rjp6hKTkkJZa2v+3raN6tWr\nA9Crd2927NhBtWrV6NihA507d6ZatWokJyejr6+fZqPu379PZXt72lpYsCcsjPPnzlFZG4lTyTmy\ndIh5NtqvDw31X9gcRF9fn9WrVzPxiy/Q19eneLFiBAYFPVdn5MiRGBsbv7K9EAI0Gn788UeaODtT\n0NSU5i1aMHXqVJo0a8amLVu4dv06hw4dIjIykvDwcOLi4ljv4ZEW7fL19cXO1pbAgADatG7N5m3b\nKFGiBBYWFhgZGdGhXTvu3r0LwOXLl3GsVo09O3fyNCKC5s2aZXgnlJSS1NTUt/jGVN6K3JkKGAbs\n1X4uBaTfJnxX+0zlA2X37t2YFSxIj5o1sY6JSdtR+YyBAwcCSiLYFxFCoK/9GwuKjqbbwYMYrV5N\n0XXrWJiYSNUtW1gK7ClRgs9++IGnkZE8jY8nOjqaG8HBaU4ZoMwcdO6Mu5kZ9+7do03bthQuUgTj\nggWpULEiO3fuBODJkydKHsnatZkyeTINGzXi7NmzGe5vSkpKZr8ilexCncpUySkCAwP58rPPSIiL\n49z58+zQGhCAdevW8feWLRzctes/0bIX+Xn2bA4fOoSBnh5+gYGZPk7J1MyMUsWL07tHDw4dOYK9\nvT0hISG0dnFh9759lClThgsXLjB16lSKFSvG3gMHOHv8OB26daNRgwacu3DhjTJcXV3ZsWMHjtWq\n0aplS4YMG6aexZmTZMBQHXv8mGNPnmSLOCFEc2Aw0DhbXqjy3vH39u2YGBkhpORPf3/GjP735JLY\n2FhqOzmxtHFjTF6X9FVHB8ciRVjapAkjT5zg1p07r022/bKBqoGBAWYGBnQoU4ZAb2+sU1MJiI3F\nqXBhQsPD6dS5M1OnTGHmzJl06dKFT728+NvIiKJz59LKxYUT//xDjRo1XtvXHTt20LlLF2rVqoWj\noyM9e/TIkaS6KlrykKOVWVTHLIfR0dGhX+/enNLm6/nj11+Z4O5OQkICUyZP5mt3d6rUqpW+AaSb\nLgkKCuL3VatISU5mRM+efDlvHhs3bqR3795vlB0TE4Ovry/nz58HKXkcHk6Lli2xrViR5cuXA+Dj\n44NOairRMTEUL16cIkWKsHfvXgYOHMj58+fZtmULxmZmREREYG5u/kpZgYGBbN26lY0eHhjo67Nr\nzx4qVapEQEDAaxNKqmQjGTBsziVK4FyiRNr911euZEmUdsH/b0BbKeVT7eN7QNl01Uprn6l8oJQv\nV44+VaqQmpzMwYMHOXjwIF9/rZwPP336dBo1asQnr5kqjNdoWObvz/24OEoVLAhAx06duJiBgZ6U\nEh8fH6Kjo0lISABg0vnzLAsJYdPGjZiamhIaGsrOnTs5uXFjWoRt5YoVdHVwoN6+fexJSmJPq1Yc\nO3bstY5ZWFgYq1av5pMKFRhobs5xOzuGjxjBZ2PGMHGiuoclR8jHjpm6xiwHOXXqFE2aNCEpLAw9\nY2PGf/EF0TExLFu9mqFDh3Lh3DnOeXn9e8TIsz9MrWN2/+ZNKlStytixYylUqBDTtefHAdy7d++N\npwnUr1+fqIgIihYtyvSpU0lKSmLGt99y1svrjRG3o0eP0qFDB2KePqVN+/a4tGnD+PHj/1NPSsmi\nRYuYMmUKVapUYcvmzXTr3p2LFy9SsGBB/P39KVu27EskqLyKLK8x69Mn87I8PF61xqwcyhqzai8p\nKwscBvpLKc+ke64LXEVZ/P8A8AL6Simz5v29Z+S3NWaJiYlUtrdnbvv29HZ0JPD2bap9/z3JSUmc\nOHGCps2a4du9O45FijzfMN0/sB/t2UOirS2tXVyYOWsW0dHRAKxbuxZXV9fXyl+6dClTp03D3t6e\nptHRzK5VC7OtW7l44cIbB3spKSmUKl2aVVWqEJ6YyLyoKPz9XrrJmJs3b1KlalVsbGyYbmLCzdhY\nJvr5oSsEixYvZuTIkRn4tlTSk6U1Ztlovz401IhZDnLkyBHGDBuGnrExixYtYv4vv3Du3DkAHj58\nSBUHh+fPfUtv9JOSiLh/nwKGhjg4OHDy8GEAHgUFsXjZMsqXL4++ri47du16aX6y0NBQfH19uRYQ\nQBlrawA8T57k8pUrPHnyhGLFigHKBoO4uDji4+M5cuQIKSkpJCYm4ubmxudjxxIUHMzlwEC6du9O\nfHw88fHxHD9+nMjISI4fP8727dspXrw4x44exc7Ojp49e6JJTSUkJAQLCws171BOkk0jTiHEBsAZ\nKCKEuAO4AwYoC/l/A6YDhYElQvHwk6WUdaWUqUKI0cABlPWsK/OKU5YfefjwIVGPHtHTzo4r9+7R\ncOlSxn72GaBE4wGqWFgolV/xt/egSBFcatXCyMiI6OhofmnalCoWFgyaPp1+/fvz2Zgx/PTTTy9t\ne/DQIb4sX54pdnZpz8zNzTl58mSaYyalJCoqCiklXl5ePHz4EIA1f/yBeXw8jYoW5ZOzZzGxsiIl\nJYXY2FiuXr1KYGAg169fZ8fOnVy7do1Zdna4VarEb8HBTL50iaNHjlCzZk11V3pOko8jZqpjloOs\nXbuWsdodmPu0jtWK2bOZ8/Qpe44d4//snXdYVEcXh99ZioggTRFEFBUUBRvYNfbeu9HYsMQaezfG\nHo29xf6ZRDT22I0abCgWFBsW7FgAAUVEmpS93x+74IKAgIDC7vs8PMKduXNn1suPMzNnzhk3atTH\nyqqrZcov+8KFmdCqFSePHcPM2JgLZ85gbm1Nk6ZNeRMUxOZdu/D19U3x2QcPHqS6szPFVFaratWu\nTVk7O9atXEmfgQM5ceIEo0ePTjz5Wad2bQoVKkR8fDzDhw1j7uzZrFi+HD8/P1xdXRk3bhza2tpU\ncELUZgUAACAASURBVHSktK0t5cuVw+P8eezt7QkODmbQoEGEvH2L+7lzqR5o0JCNZJGwSZLU8zPl\ng4BBqZQdA8pmSUc0fFV27NhBcSMjZJGRPKpaldDQUHzu3+enn37i6L//oqWlhdDSgjRW3xcXK8Zf\ngYEEBgXh2rgxXW1tCYmOZoiFBZvevuVmKqtYMTEx7Nu3j9+7dUtyfZylJWvWrqVWrVqEhYUxcNAg\n7t69S/78+bGxsUncrrSysmKdgQFhsbHsfPYMy5gYipcoQXh4OKamptStWxcTT09+K1qUJq1boyWT\n8ZevL4O9vLh54wYVK6Z5GFlDdqDGhplmKzMHEUIQ//o1MgMDiIvj2qlTHDp4kMLGxrTp2pXiFSqA\nSqiKJP5l0dHw+jUUKpR4AiU+Pp4+vXvjcekSvVxcKFOmDI6OjhQoUACZTEZcXBzlypUDYN68eTx5\n9ChpHKC4OLyuXGH0xIm88PenqKUl/V1cGDhokOK5yl8MSZK4e/cuPj4+VKxYkaioKJ49e0bFihUp\noVx9A4iMjMTd3Z0DBw6we88eLIoUYd/+/djZ2WX7Z5uXyfRWZq9eGX/W1q15YisgJ1C3rcw+fftS\nPySEAc7OEBdHQEgIR5yc8F2/njYlSlCjSBFEBjV9+8OHjPTwoHX37tSsUQMHBwcMDAwwNzcnKCiI\nsmXLoq+vT2BgIBaWlkj9+iW5/31sLBMNDPj32DF0dHRo0bw58968oWCCjir/fwIiI3kcHk7Ihw/U\nMjPjZmgoWkLQsEiRJDsTt0NDOejnxwE/PzxDQtixfXu6/Hc1pE2mtjKzUL+U8RWX83Hl/pOQPUKI\nBsAyQAcIliSpYYY7kEVoVsxyGPHuncL40tXFqUULnJo0gbAwCAmByEiFMZRwIlNV9HV1oWhRxbWY\nGBavWsXCpUsJfvOGYYMGcfTgQVY+eYKVlRUhbxW+11paWkiSRL58+Xj2/Dn7//nnY7sxMaCnh3Od\nOpzz8Ei8vmvPHnR0dROPiV/39KRK9eoYGRklZinQ1tYmLi4Oe3t77MuUwev6dQDevXtH6VKlaNe+\nPSdOnKBKlSoZPi2qIQtR4xmnhuxBBxSTRLkcS319Bt6+DQn5MuXylFfLUjBevYKDGeLuztXgYNq2\nbUtcXBxDhw2jXLlyxMfH8/TpU2xtbfHz86NgwYK8fPmS9gmr/SoTVkMdHdZ++AANG4JczrOAAKr+\n9x8Plb5rC5yceBIWxoZHj7CyssLPzw99fX0iIyMBGFS6NKcCA4mRy4mVyxEmJrRq2ZJpc+bQsGFD\nDA0Ns/oj1JBess4V47OBroUQRsDvQDNJkvyEEIWy5OGZRGOY5TSqK2KgMMJMTcHYOEUB+wS5nKjA\nQCZMmwZAWVtbChYsSL/u3Xnz/DmzN2xg0YIFjB45EkkIAgICuHzhAmfOn6dd+/YgBJ6entSoXRuA\nyIgIjh8/TqNGjShoYICIjycuLg5TU1NatmiBhYUFVSpV4vrNm3h5eWFlZYWBgQEhISGcOHECSZJY\nsmwZ2tra6OrqYqFywk/DV0ZjmGnIauRySIjtlVyvkp0gT3Jd9X5gZ8mSXN27l3z58mF07x5VCxWi\nVcOG/HD6NJXNzAj74Qf0ZDJeRUYSFhvLZC0tFlerBjIZgVFRXH39muaWlmjLZHgEBmKsq4uDiQn6\nuroEa2kBUM3MjFqFC2OsqwuPHjF0yBBGjRpFXFwcUVFR3L59m3v37jGwZs1E3bK0tEzq56vh65F1\n+lUdeChJ0jMAIcQOoD2gmoGkJ7BXkiQ/AEmSXmfVwzODZiszh9i+fTsuffoQdfkyonRp0NNLOyhe\ncpFL8DVTHhOPDAvjyq1bfNekiSLKtVzO0uXLGTd5sqJ6bKzC3yPhXiXe3t5UrFKF/PnzU6N6dYKD\ng7lz9y7ly5en3nff8fyFIh6oeeHC1KxRAwHER0WxdPVqxk2cyJAhQ7L8s9GQNpneyuzfP+PP2rxZ\ns5WZTtRpK9Pf3x8HR0e2NWhAK9VYhAnjT+1zSOPzuRwQgJ2hIabKA0H+ERFYbdsGwIU2bahlbp6i\nPpbfs4d7oaGUKViQUoaGHPNTRGAZ7+DAXeWqvhbQ0MKCAsrdh7OBgfhaWuJx/nwGRq0hq8jUVmYW\n6ZcQojPQXJKkH5U/9wKqS5I0UqVOwhamA2AArJQkyTXDHcgiNCtmOUB8fDw//PADbjNnIkxM0p4J\npGWogcKgQxF0sb6FBXfu3MFl4EBMTE1ZuWQJ9erXx7Jo0Y9biAkGXUwM6Ory5PFjQJE/7vHjxwgh\nqFu3LitXriQ2NpbWbdoghMDb2ztxixKgU9eufJ+J48saviKaFTMNWcQvv/xCC3NzWhUvnvqq2OdW\nyyBJnRqWlryNimLkhQu4BwQwpkIF/Hr04GVEBNWVp8STExEfz73QUBbMn0/t2rUJCwvj93LlePDg\nAYcOHaJ/o0bo6enx9u1bzp07R8Lk36BCBRYn80/T8I2Ts/qlDTgBjYACwEUhxEVJkh7lZCdUO6Mh\nB5AkCYMiRT5uZao41yeSwpJ/ku9VV9jkct74+eFYpQqdWrZE29CQXi4uzJk5k6rJE/XKZAqDLi6O\nSVOmMHf6dMqUKUPZsh8Py01Tbo0m0Lp16y8ZroZvAY1hpiGLiJfLMfzcFl9qxlnyOpBYr+t//3Hy\n5UsW/vYbQ6ZOZa6zMyMcHFK+B1hx8yY1a9Zk4MCBmKnESytVqhQtWrRIcluvTDiPa/iGSE/mEn9/\nzvj7f65aegJdvwReS5IUDUQLIdyBSsBXMcw+O3IhRBkhxHUhxDXlv++EECOFECZCiBNCiPtCiONK\n57mEe6YIIR4KIe4JIZpl7xC+fbS0tFizZg3NR4/mz7/+Sp8vmaqAxcQoDgfExSXZOjAxMqJvt274\n3LvHunXrCAsJoV2nTknbV3m516xdy9NnzxgxbpzGKV8dUONccwlo9CtrmP7zz+x/8oQB//1HmNL5\nP9UVshTeKbF6NWL16qT1gBGOjujr69O4cWMmTJnCeE9PTr96leI7GRAZybQrVxg3dmwSo0xDHiUd\netWgWDFmVq+e+JUKVwBbIUQJIYQu8D1wMFmdA0BdIYSWEEIfqAF8tZiLn1ViSZIeSJJURZIkJ8AZ\niAD2AZMBN0mSygKngCkAQojyQDegHNCSj0En1ZqhQ4dy+uJFXKZN49DRoylXSk3o9PQUBwRUhUpb\nG5meHmvmzOGury9mZmYUMjHh6tmzqfp9/L1rFzExMSyZOxe5mvjGqDUaw0yjX1lEqVKleBQQwJMi\nReh5/PjHgnROMqURI5BU8mom3NehVClc+vXDuWpV1qxdy6Z69WhWrFiKbVxThq04dPgwT58+/ZLh\naMgNZJF+SZIUDyQEur4D7JAk6Z4QYrAQ4kdlHR/gOHALuARskCTpbo6MMwUyupXZBHgsSdILIUR7\noL7y+l/AGRRi1w7FwOMAXyHEQxSnIi5nTZdzL35KJ9Und+5Au3aKiyltaSZcT2kLUxVtbfSNjIjb\nuRN5zZpoFyqESL7dkNBGXBwbV61i55YtLN+wgZ4DBmCfRk47DXmAPGhofSEa/foCtLS0uHbtGoWT\n26mpaZgqybc5VX5eKUksGzQILZkMmapvbLI2Wx0+zNQpU7i+dSubrKyYN2/elw5Jw7dMFupXSoGu\nJUlan+znxcDiLHvoF5DRkXcH/lZ+X0SSpEAASZJeAQnemlbAC5V7/JTX1J7bt29Tz8aGkcOGpe5P\npopcrohxltasVF8frdKl0Xn3jps3b7J0+XLeKWP4JEFbm3KVKzNz4UIsihRJTFWiIQ+jWTFLjka/\nvoCwsDDCwsI4mTCpVOVzK2dpHAyQCYGOjg4xksSC69e5Fhyc4rsohGDe27fUtbQkICAgM0PQkJtQ\nY/1K94qZEEIHxWxykvJS8lgXGY59MXPmzMTvGzRoQIMGDTLaRK5i6NChTJ48mT/37KHfwIF8dn9E\nJgMDg7TLtbWhVCkICeHAwoXM3LqVcRMnUrhwYSaMHUuhQoVo3rx5kgTnXTp0YGD//tz09qZAgQJZ\nMjYNWceZM2c4c+bMlzeUh4TqS8kO/QL10jBLS0u6dOnCsLNn2dqkCSbJ06yprvCnFxVfWv+ICKZc\nvsyUy4rFybEVK2Kpr09DKyucCxdOvKVdyZJU2rKFXr16pZgXWMPXJ0s0TI31K91xzIQQ7YBhkiS1\nUP58D2ggSVKgEMICOC1JUjkhxGQUyY1/U9Y7BsyQJOlysvbUKo5ZAp6engwdOhRjAwNOHDmCVr58\nigLVlzA9q2mqKOvEvH7N81OnWLBsGf/z8vqk2oE9e2jXrh3xsbGULFuW5QsX0qlHjy8ZjoYcINNx\nzMaOzfizli7Nk3HMslq/lGVqE8csgbdv3zJ16lT2bdnCkdatcU4toHRGNUxZzy88nFN+fvRR5hJW\npYONDftatQJg2qVL3LG2Zv++fRkdgoavQKbimKmxfmXEJO0BbFf5+SDQT/l9XxSnGhKufy+E0BVC\nlARsAc8v7GeeoXr16nh6enLWw4PTJ0+m7Kif0qnK1E5BqdTRLVgQW3t7Ni1bhuTjQ/ijR+ydM4d2\nVasCYKmvD3FxaOno8POkSbgMGcLr1181wLEGDTmFRr+yABMTE9auXUvr779n+a1bxGXkhHk66lkV\nLEjvsmWRhg0jdsgQPDt3Zu6cOQAUV0mPNMzRkf/++49tyoC0GjTkJdK1YqY8PvoMKCVJ0nvlNVNg\nF2CtLOsmSVKosmwKMACIBUZJknQihTbVcsUsgb1799KlSxc2r1mDS//+Ke+RqxploMilmbB9kLwM\nPobTSHCcTXCwff0afH0VuTaLFlXEUouLo1mrVggh2H/oEPnz58/W8WrIPJleMRs/PuPPWrw4T8w4\nVckO/VLWU7sVswSePn2Kc/nymOrp8ah376SFqR1myiifuWfr/fuMvXWLw4cOUT31UAkavgEytWKm\nxvqlScn0FTEwMODivn1UqFcvdefFlAywlLYJEvLXJS9PIDwcQkMVOTmVfmvR0dFUdnamdcuWLFq2\nDJka7+l/y2TaMJs4MePPWrgwTwhbTqDOhhnAmDFjiDt1ilX16yctSK4jX/IZfebeX65cYV9UFCeO\nH8fS0jLzz9GQrWTKMFNj/dL8Jf6KGBsbc/fRI0UA2dS2KpOHzEjJKEvIofn8OQQFJT3JmXCPgQEU\nKqQ4LKC8rqevz6F9+9j4xx/0bteO2NjY7BushpxHjU81ach+DAwMeKTMTZkqqWla8q/U+Mz7OtXZ\nmfLR0VSsVIlHj75KkHYN2YUa61feGUku5Oeff2bi7Nl8+PDho0CpRvdP4DO+Zchkii3O4sUVxpeu\nrmJ1LCzsY3sJdfT1k7zAdmXKcHjrVty9vPhjxYpsGqmGr4IaC5uG7GfcuHEce/6cc59PifN5Mrmq\npqetzYrvvqOBkREu/fuj7rsweQo11q+8M5JcyODBg3n+6hWbNmz4vDGWnhx02tqKLz09xZZlwYIf\nV8hSuF+SJGJjY6nXsiWzJ01ixcaNvE8pBpqG3IkaC5uG7MfY2JgePXrQSTWTyefeobR0LBPGWUx8\nPBYFCrChcWO8vLw4f/58htvQ8I2ixvqVd0aSCxFCYGJigru7O4GvXiV13ofMzSITXlBt7aQrasrv\nY2JimL9gAdVq1EBLVxfdAgWIjIykfbt2GBsbU7xYMTZPn55FI9TwVVFjYdOQM5QqWRIJOOvnlzXv\nTzo07/TLlzTatw/nnTvJt3YtZ16+xERPj3Fjx9KmbVs6d+mi2IXQkLtRY/3KOyPJpRw5coTXsbH8\nrBKoEvgyh9nk7Si/njx6RHkHB9yOH6dDx460U0bwlsvlmFpb43HqFK4zZvDzunXExMRkzfM1fD3U\nWNg05Axjx45l5OTJNMiBeGKSJNHPzY1+J09StUcPvlee2otUauWc9+8J7NULDw8PTp8+ne390ZDN\nqLF+5Z2R5FJq1apFv379uOPj83GWp7pillp8swQ+90KqlL0JCODx06dcuHKF/Xv28O71a47u2YOB\ngUHiKlvTnj0xNTXFxNhY40yb21FjYdOQM5iamjJducL+9HMHASB971hynVN5N28XKMDz9+/ZsXMn\nhw4fZlzlyrS0tk7USj2ZjFElS9KyVSvWr1+fQuMacg1qrF8ZTWKuIRto1aoVmzZtolWHDvz3778k\nhq3IyIsmk6V9qhOoVqcO0e/fEx0djZGR0afP0NYmn4kJ18+do3XHjnh5eWFra5uJEWn4JshDQqXh\n20UIwdIlS7AbP557vXtjZ2z8sTA1Xcrkc67WqkVIlSoY6emhlfB+J2t/StWqFNHX55/Dhxk8eHCW\nPFvDV0CN9Ut9R/4NYWZmxpEjR/C6dYtje/Ygxcd//hh5ctKqq3LSM1/+/BiZmKQ+w5DJ0ClQABMz\nswyOQsM3hxrPODXkLGPGjKFP377M9fTkg2pMxawgmRaa6umhpXo9hXfYXBMwO/ejxvqVd0byDRMS\nEsLgqlWpWawYXqnM4AwMDHBxcaF1v348u3s347PM1F5K5RYlMhkdu3ShfYcOnD9/Hi8vLyQhPn2h\nZTKi4uO54u1NvoQ8nhpyJ2osbBqylv/97384OTuzaNGiVOuMGDGCLT4+LLx2Les7IJfj6uODw99/\ns+PBAy4GBBCW4Aebwtane0CARr9yO2qsX3lnJN8wmzZtYoOXFxWKFKHqhg0MrlqVP4YORa4UlNDQ\nUP777z98z52jRZky2Hz4oEi/lBXGmbKNE//+y/6DBylbrhzfNWhA1Ro1ePv27SfV3797R53vvsOu\nVCnatGmT4bF+S3z48IFTp05x7do1zpw5Q1hY2NfuUs6ixsKmIevw9/dn4KBBtAImTppEl65dmTZt\nGsHBwYDCKf/ChQt4eXkBMNjR8ePNmd3GTBaANl4uZ9ilS9Ro1451Hz5Qe+9e/nn8WFE32Xv765Ur\nbHj8mJkzZmTu2d8QN27c4PTp01y7do0HDx587e7kLGqsXxofsxxgxIgRrJo3jzIlS3JhwACu+vuz\ncdcuVpYuTX0LC3bevo2dmRmVypRhZsuWiij+kZGJqZMyjVIU3wQHM2f+fMYMHcrChQupXr0627dt\nw1TVF0TJIx8f/F+94ur16+TmFE0eHh70d3GhoJERAQEBFDQ05OGjRzRq0IAdu3ZhYmLytbuoQUOu\noGjRoowfN479mzfzolcv/n3+nOuFC+Pg6EiH9u158PAhAQEB2Nvbc6FzZ8z19FI3yDJpqK24eRMh\nBJs3bwZAL39+upctm+If462hoezetYsKFSpk6lnfAqGhoQwdNoxz585RpEgRAgMDiYqKQkdHh717\n9lCnTp2v3UUN2Uju/cubi9DX12fznj3MPXyY4Lg4fho8mPPr1zO3Rw+0ZDIOTJ+O+8WLrNq9G7Mf\nf4RixRRBYtNYAUsVlXtevHhB9549qVq7Nubm5vy6dGli2bvkq0fK+2xsbDAyMqJWzZpsWLo0cVUv\ntzFjxgwGDhjAFU9P9v3zD40aNaJAgQKccHPDz8/va3cvZ1DjGaeGrGXmzJnIJYnJly8zqHx51gCn\nGzfGxsaG74XgbpMmHChenFqZzVeZgk+tJElMv3yZhvv3M8PbG6+rVxPLYmJiiEwlhVzrVq3o268f\nw4cPT1zVy20cOHCApydP8qBpU9wcHPipaFFsZTICAwO5cOHC1+5ezqDG+pV3RvKN07RpU34aP54r\nN2+Cvj4yJydaT5rEkl9+oXqPHooo/Xp6YG6uMMz09VNvLD355YADBw9y/L//2PS//7Hrn3/Q09MD\noGrVqlz29GTM2LE8f/48yX0mRYrgff0600aO5K+dO6lVrRovX77Mio8gx3j//j137tyhRs2azJs3\nj+o1avA2NBQ3NzckScJRdaslL6PGwqYhaylQoAAHPT05q5J+ycHYmKn+/gxxdPx4QjIzJA8JpPz5\nXUwMc7286Dx5Mo8fPcLOzi6xWqtWrWh/+DDHnz37pLlF8fEcadgQXV1dHBwd2bt3b+b79pW4fPky\nFUxNufv2LaV27mRdcDCT168nKjKSCRMmfO3u5QxqrF95ZyS5gHz58ilOSILiJYqJUaROCg1NWlFX\nN2nk/pT43Esok9G3Tx8iIyOJCApCS0srscjGxgZ3d3c+xMZSrnz5pDMwmQxdPT3a9ejBuaNHMcqf\nn02rVmVwpDlDREQEHh4enxiOXl5eGBkZoaWlxc/Tp7Nv3z62bdtG1apVv1JPvxJZJGxCiP8JIQKF\nELdSKS8rhLgghIgWQoxVuV5MCHFKCHFHCOEthBiZTSPVkAPo6OggE+LjhYT35UtW1dO41zhfPn74\n4QdOnjqFubl5krLtf/9Nq+HDGXjyJOPPnfukT1XMzVkmBIuqVOHn6dO/yYDZkiRx48YNrl+//kmO\nzwMHD9LHzo6+Z89Sv2VLHj18SMeOHRMn12pBFhpmQogWQggfIcQDIcSkNOpVE0LECiE6ZcuY0onG\nMMtpEl6ehBAW4eFJX6jkL1dqL1s6wmkYGhmxdfNmOvbqxY1Ll5KUValShTVr1jB//nw6duqEp2q5\n8iWXFSzIL9OmsXnbNn7s0+ebSRAcFBTEpk2bMDExYdDAgZQuXZpXr14llh8/fpxixYrxzz//ANCh\nQ4ev1dWvS9YJ2x9A8zSe9Ab4CUh+ZC8OGCtJkgNQCxguhLD/0mFp+AbJjHGWjryZy3R1OXv2LDNn\nzkyiP4aGhkydOpVzt26x7sEDfr16NcX3t5OtLaVLl6ZipUr4+vpmvI/ZQHx8PMeOHaNGzZo0btKE\nJk2b8vvvvyeW3759G39/f2Li47kbGsrvq1cnmVirDVk3sZQBq1FomAPQIyUdUtZbABzPxlGlC41h\nloPcu3cPWf78iS+QpKVFlLa2YsUsszM61dNLyZHJ6NajBxtWr6Zp27ZMGT+eiIiIJFV++uknZs6c\nSZPmzVm1ahUXL178WKitTd1mzbjh4cF5T09MjI3p2Lw5nZs0Ye5PP7F3715iU/HzyGrkcjmhoaGs\nWbMGR0dHDuzfz69z59LfxQVJkohTrkS+ePGCBQsWEBYWRs/vv8fc3Jzw8PAc6eM3RxYJmyRJ54FP\nj/B+LH8tSZIXCkNM9forSZJuKL8PB+4BVlk2Pg05io+PzyfXouLiMj9h+9yqv1xO4fz58WjenEOH\nD9OwUSPu3r2bpIqNjQ03rl9n+cOHDHFzY4ePD/EqWmioq8shW1vat2tHyVKlaNS4MZ27dGHIkCFs\n2bKFFy9eZK7vmSAyMpKLFy9Ss1YtJk+ZQku5nBnlymEpSURGRibW69K1KwB1ihTB3t6eK1eu5Fgf\nvymybmJZHXgoSdIzSZJigR1A+xTq/QTsAYKyZ0DpR2OY5RD79+9n586dDHJxSbw2bsoU9Bs04IyH\nh+KCTPZpEvPkBlc6ZpnJGfDjj9y6coVr16/TvHFjXr9+nVgmhGDo0KEcOHCAY8ePU7tOHdatW0d8\nfHxin0yLFePOrVtcPnmSXh070q15c14GBrJ84UKqVKiAew74cFSvXh0TExP27N7NqZMnGTp0KIuW\nLGHV77/j4eFBsWLFANDS0kIIwbq1a6lcuTKWFhYMGTyYa9eufRyTuvAN+WgIIWyAysDlbHuIhmwj\nLCyM7t9/z8TKlROveQUGor9hA4POnEl/Qxl9x+Ryypma4lm9Op07dcLB0fET53dbW1tu3byJfpMm\n9HZzo/uRIwSFhyfqoRCC3+LjeT9iBCMNDekZE0PRokU5cvQoVZycWLhwYbZPMNevX08BAwO6f/89\nIwwNcXd25rS/P6M8PBgxbx7jxo1LrFumTBmGliuHnrY2LoaGTJw0iYMHD/L+/fts7eM3R9bplxWg\naoG/JNkEUQhRFOggSdJaQPCV0RhmOcTRv/9m6g8/YFS4MIt+/53vmjVjw7Zt9O/fn+GrVimEIT3b\nAarGW8KXasyzVNqwtLZm365dOFeujJ2tLW/evElS3rBhQ44cOcKtW7fY6upKzVq1mDFjhmK2JpMh\ndHQoW6kSnQcMoPvIkaz74w/cT55k1tix1O/Shd0bNiTOnKOjo7l+/Tre3t5fdKrTx8eH69evExYW\nhq6uLgAnT57E0dGRkaNGERQUxJMnT6hWrVriPUWLFqV37960aduWrX//zfZt2zA0NKRdu3aUtLGh\ncsWK/DZnTqb7lKv4RgwzIYQBipnoKOXKmYZchre3NwXj4xnu6Mi+p0/p4eZGvX//ZeKECfzv3j1u\nqEz2sgMtmYyf7t9nd/PmtGvfHldX1yTlFhYWLF26lJA3b7Bp3x7HbdsYf+4cf965o1hBk8sx0NWl\ng60tncuU4ZfQUHYWLcrltm353+bNtG7TJsnK+v3797l+/Trv0pP/MxWCgoK4fv06vr6+FC1aFIC/\nnZzoW7Ys+54+5VxAAI8ePmTIkCFJtipHDB/OHw8e0OvMGYY5OtKvb19+nT+f4iVKULlKFdq0bftF\n/co15Kx+LQdUfc++qnEmvpbfkBBC+lZ8lrIbf39/rKysuOnmhtvZs2zZu5efZ82icePG6OvrU6NG\nDcoXK8a2LVsQBQqk/IIlv5b8JFPyF1P1e9W6MTGUqVCB1QsW0KxLlxT7K5fL2bVrFzdv3uTPP/+k\nf79+zPv115SfC6xdtYpV69ZRwtqaQ8eP06hRI148f45cLicqOhq9fPkoVbIkY0aNoqyDA/b2absZ\nPXv2jJHDh+Pp5UVhU1O8797F0sKCxo0bJwryiSNHaN62LSEhIZ/EJIuPj2fr1q389NNPnHRzo1q1\nagQGBmKhPMrfpGFD/jt1Ks0+fEsIIZAkKUNCIYSQpA0bPlvvzP37nLl/P/HnWYcPp/gsIUQJ4JAk\nSRXTeOYM4L0kSUtVrmkDh4F/JUlakZExfOsIISQpl4aTyQiSJNG4SRMcg4OZ7uyMhasrSxYvpk2b\nNtja2rJ06VJ+njyZZ717U7hAgU8bSNCiFLQj3b5pKno29+pVfOzs2JrMOFPF29ubffv24Xby0inG\npAAAIABJREFUJBH373OiY0fMUknTdNHfn2WSxLlz5/j36FG8vLwYPWYMJUuWxNfXF2NjY/Lly8eI\n4cNxcnKidu3aafp8xcTEsHTpUhYtXoy1tTX37t2jbNmyeHt7EzVwIHra2kiShGz9elatXMmIESM+\nacPX15fadeowyNKSmc7OCCFofPgwp5SnYh89fEjp0qXT99l9AwiZLEMalpX6JYSoCcyUJKmF8ufJ\ngCRJ0m8qdZ4kfAsUAiKAHyVJOpjePmclGsMsB1i0aBEzfvmFyFevWDB3LqFhYSxYvz6xPDAwkJIl\nS3LXwwMbW1uFCCU/lZmSsZZc3NIyzhLqyeUsmDOHKXPmULFcOc54eKQZbPXJkyfY2toybOhQZs2a\nhZmZWYrbq3//9Rc/DBrEIBcXNv7xB76PH2NtbY1fQADymBjcTp1i+86d3Lx1C1MTE9q1bUv7jh2p\nWbMmWlpaiduMkZGRGBkZMfuXX5g4aRL5dHTYunUrIa9f07RlS8o5OAAweeJEHj56xN59+1Lsd1hY\nGG3atCEuLo4LHh488PGh9nffce3aNaysrHKVM22mDbNNmzL+rIEDUzPMbFAYZqlG7VQaZuGSJC1R\nubYFeC1J0tjU7sutqIth5u/vj1WxYpxv356SBQtS1c0N/2SxADt07IhzQADTq1f/tIGUJolfYJg9\nfv8eW1dXjI2N+evPP2nXrl2qt0mSRL369ZE/fsyvdepQX+nykJwPcXHorV5NkyZNuHjxIpMqVmR6\njRq8jooiMjYWv/BwlsTH4+Pjw/Pnz2ndujXt2ralTZs2GBgYJHGT6D9gALf//Zc9zZtTysiIq0FB\nXHj1CmsDAzra2ADw6N077LZvJyoyMsWTlpIksXHjRgYPGcKj77+ndMGCVL58mWlTp9K8eXMKFiyY\nvs/tGyFThlkW6ZcQQgu4DzQGAgBPoIckSfdSefYfKLTunwx3IIvQbGXmACNGjCAqOponDx6Atjbv\noqKSlBcuXBhDQ0Pi7t5VnNaUyRT/qiQfT5EEsUptGTeVAwGTp0/nvb8/UTExPHny5NM6KpQqVQov\nLy+uenmxa9eupM9VeU7jJk0Y0KcP5oULs2vHDqxLlGDvvn2sWrkSQxMTBgwahJubG/4vXrBx3Tok\nScLFxQUdHR3MzMzIly8fenp6GBkZAeDk7Ey+/PlBW5te/foxcvx4yjk4EBcXR9++fVm4ZAmTp04F\nFCIWEhKS+P2uXbsoX748+fPnZ8Yvv+Dn58fsuXOxs7WlePHiucoo+yKy7lTT38AFoIwQ4rkQwkUI\nMVgI8aOyvIgQ4gUwBpimrGMghKgD/AA0EkJcF0JcE0K0yKHRa8giihYtSvv27TmijHkYHh7+ib9m\nqZIlicshI7W0kRHRQ4cy0s6OkydPpllXCMGB/fup26sXUxJ8eVMgn7Y2ixYupJi/P7/XqYNL+fL4\nvnvHVA8PAiIiqFW0KHusrfFu0oQbXbpQ09+fjZs2YWJqiqmZGbr58qGXPz96+fPj6upKvCRRSqll\nVc3NGenomGiU/enjQ80TJxg3dmyiURYWFpbo5/bw4UNatGzJ0mXLmO7khEX+/Pz14AE+Pj5Urlw5\n1xllmSbrDi/FAyOAE8AdYIckSfdUNSz5Ldk3qPShScmUAyQk0z26YwcN69enZvv2zF22TLH6BOzb\ntw89IbCqXl3hL6ar+zHema7uR7+y1LY4MzrrlMsxMDDAtGBB/t22DScnJ4RIfTJjb2+Pj48PlqlF\n9dbWpoi1NZs2bwaZjICAAFxcXNji6oqdnR2LliQuoFC7dm3q16uHeZEibPnrLwwLFEAOVKyo2CEL\nCw1VCE8qv2QVK1Xi3r17XLlyhUqVKjF37ly2urry+MkTHB0cMDQ0JPTdO3Zs307dunVxdXWlmLU1\nQ4cM4ei//6bvc8orZJHPmCRJPT9THghYp1DkAaiJFZy3MTY2Ztfp08ysWhVzc3OWLl2aGOhUkiSW\nLV+Oe2phaVLTrswil5NPS4si+vocu3yZt2/fprnqb2pqSnh4OIVS2cpMYLy/PzRrBsCcy5dZfv06\n8fnysfH27cQ6ZUxMqGlhQXkTE4YVKMDanj15GxVFpUKFyK+tTfiHD+TX0vo04K5Sp10fPMDlzBmm\nTJ7MvHnzcHNzY/6CBVy8eBEzMzMqVKiAp6cnU8qUYWS9eoR8+EBhV1ds7Ow45+6eJMhunicL3xlJ\nko4BZZNdW59K3f5Z9uBMkq6RCyGMhBC7hRD3lMEiawghTIQQJ4QQ94UQx4UQRir1pwghHirrN8u+\n7ucOhBDUdXbmWkAA9k5OVK1YkZLFi/NSGTts6dKl9La3J7+uLi9CQxn644+Uc3bGvnJlmjRqxOoV\nK/gQFZW6AZaW42MapzrXzZrFbxs2cPPmzTT7L5fLiYqKQk/pgJ9q+0rxiXr3ji0J/h+ShG3x4lhZ\nWADQsmVLJOD5ixcMGDiQCpUrc/v2bbp06ULJUqUwLVyY6rVqMXHiRCZPnszkyZPZsWNH4orYssWL\nqVa1Kk2bNkVXV5eFCxey5LffCH3zhmJWVjSoX58rnp58+PCBUaNGMWToUI4cOcKatWs1+THVFI1+\nfTn169XjXUwMz8PDGfnTT0ycNIlNyq2mLVu2YG5uznfKbcIl169TY/du7LdupeL27Uz08OBpNjir\n9y5bFiMjI+ak4zBPVFQU2mlMPpMgk7EnIoKQ6Gi0tLSwsbHBQelCYVCyJA59+/Kmdm1W3LyJvasr\ns69cwdXHh3LbtmH+xx+UcHVl8JkzTL54kckXL7L4+nV83iqizTQtVoyuXbuydt06ZFpaNG3WjFqh\noTzv1o2fS5UiKiqKGy1b0q5ECZZ7e1N3/3669+rFndu3kxxy0pC3Se+K2QrgqCRJXZXOvAWAqYCb\nJEkLlZF0pwCThRDlgW5AOaAY4CaEsFMbh7IUEEKw9s8/qVq1KiX09bly6hRDRo6ktYsLXt7evH79\nGptBg/ANDaVe06aUtLBg686d6Ovrc+3aNTZu3Mi2HTs4fuQIBU1NUzfC0jLOVLc9AXR1kRsbE/3h\nA4ULF06z/wUKFGDAgAE8TmvbU+XZ5ubm/Ni7N/v//Zd3oaFIKBzyu3fvzujRozFQSc4+f/58fujV\ni4YNGnD06FHMzc25cOECd+7cQS6Xc/r0afbt30+Pnh8XbSIjIggJCcHd3Z1u3bqhpaWFl5cXQ4cN\n4927d7Rt25b/3NyYOnUqN27cUK9ZpirZGP4il6HRry+kd+/eHDh4kKp79xJqYoJTx47UHzKEKlWq\nEBAQgJ3SPcDFzY0dvr5s27qV8uXLExgYyMGDBym3ciVuHTtSVzlBSyQjK/7JMNTVxdfTk7Zt2ny2\n7qBBgxid3hVzuZwJlpbMePaM8OhoIqOjCYqJoVatWixauPBjAvGFC7l37x7VKlfG4+1bdu7YgZOT\nE35+fri5uREfH8+DBw84cOkS869dI+TDBwD2NmvGH507c/7VK0oaGlLG2JhXkZFYFyjAOGCltzeL\nbt6kc+fOLJ40iXbt2qW5o5FnUWP9+qxhJoQoCHwnSVI/AEmS4oB3Qoj2QH1ltb+AM8BkoB2KPdw4\nwFcI8RBFgDe1jl9kaGhI6UKFMIiJAZmM1YsXo1+8OAEBAYwcOZKNmzdTwtaWgLdv2b1yJc7OzgCU\nK1eOrl27MmTIEMpXqcK6NWto07r1l720ysMF0XFx6Ovr8+T2bays0o77+YkwJDf0AORyPnz4wC+z\nZnHV2xvPq1cTfSgKFixI/hS2EqZMmcLgwYMxNjZGpmyrbdu2tG3bluXLl+Pm5pZYt1TJklhaWqKl\npUW0cjZ79uxZfujVC21tbSpUqIBMJqNV69a4bt1KkSJFMvHh5CHUWNgS0OhX1qClpUUxKyuslZOq\nupaW9OvblyNHjjBx4kSmTJ3Ks/Bwdr94wYTx4+nUSZHRxt7envr161OtWjU6DRhAz7JlWVK7tmKr\nLwt80j4YGREQEIAkSWkaL0KIdMU/kEsSN9+8offx43icP5948lFXVzfFFfdy5coRGBKCTCZL1Ddz\nc3OqVKnCq1evsFSGyQCFBhYuXBhzZb2I2Fg+xMfT9NAh3AMCqNeoETo6OpRr1AiP33+ndu3aGfgk\n8iBqrF/pWTErCbxWnlSoBFwFRgNFlL4lSJL0SgiRkMzMClAJH48fmmjfbNmyhVfv3mFWrRro6aGt\nq0vv7t2pXa0azWvXJvjtWzZv28a0H39k4pIlnOneHVCciLp69SpVqlQhKCiIth07snHdOgYOHJix\nDiT385DJqF23LrOmTKHXoEFcvHQpMdZOShQqVIjtO3YwPIWj3aoUK1GC169fc/v2bUqUKJGursXE\nxKQYPbxTp04cPXwY9/PnAQgMCsLP3x9HR0deBQZSpVIlbty6xa8zZzJ01KhEw06DEs3nARr9yhKe\nP3/O72vWMNXJiYCICCwLFKBjx4706duXq15etG/fngb//MO+pk1pNncuQ4cOxdLSkrdv3/LkyROC\ng4MZMm4cc+bOxcPfn/OdO5MvwZD6AiPtfMOGlF6yhCpVqtBVGTE/JczMzLgaFMTDt2+xS82lQSZj\nkacnk8+fZ9XKlek2jOLj41OM11ikSBF+njaNlYsWERUXR3xkJC99fXEJDuZFRATONWrw6Nw5Ktap\nQ9ijR4m+yBqUqLF+pccw0wacgOGSJF0VQixDMbNM/pc0w0v9M2fOTPy+QYMGNGjQIKNN5BoGDx5M\nREQELiNHki9/fspXqMCEIUMY0ro1TQcPpnaFCuzYs4dT//zD7pMnKWFtja62Nm9DQrC1sKBa7doU\nUcYIeqwStyVNkhtjqmE1ALS1GT5yJPcfP6ZO7docP3GCMmXKpNjU6NGjmT17Ng8fPkx9a1Au5+9N\nmxgyejQTxoxh85YtWCTfulCyb98+fp03j/fh4dy/f5/WLVty+OjRJHWKFy/OCZUVM4CQkBDu3LlD\nnTp18qwhdubMGc5kJJp6auTRzyeDZJt+gfpoWPHixVm7Zg2Tp0zhwbt3THVywvrvv7nSujWTo6O5\ndesWvmFhnPbzY/iwYdiVKYOtrS1PnjyhUKFCNG7UiHz58mFvb8+zN2/4EBtLPlWf1bSMszTeY2tD\nQw61aEH7Pn14//49/fun7LdtZ2dH85YtcfXxYXatWqm219fBAU9zc5avWIG1tTXt26eUuUcxYR4w\ncCCvXr3ixo0bAPg+fZpkMiqEYM6cOUl84ORyORcuXMDe3p5ChQql2o/cTpZomBrr12fjmAkhigAX\nJUkqpfy5LgphKw00kCQpUAhhAZyWJKlc8uBtQohjwAxJki4na1ct3TZOnjzJjGHDeC9JBAcFUdne\nnhE9e3Ln8WM+FCzIuHHj0JbLeezpSbRMhmOJEmhra0PBgqCv/zHav67up7HOVEluhKmSzFiTx8Qw\nc9Ys1m3ezPXr11Pd1uzevTtVnZyYMHFims+MeveOTt27c/LsWRrWqcPKpUspW6UKAB8+fGDmzJms\nWrWK7+rU4diJE5ibmzNh7FjGT5qUcrtqTqbjmCWEN8nIfd26ZfhZ3zLZpV/KMrWIY6bKq1evmNCg\nAbfevCFWLic8NpYFdesS3qEDL168oOPTpziZm+MfHs6r8HCKGxp+PA2ZkfRyquXp8Km9/OoVTY8f\nZ9XKlfTt2zfF6keOHGGKiwu3evX6bHsrrl1jyuXLWFtbM/3nn+mlcs/hw4cZNnw4ZYTgnJ8fMfHx\ntGnThr+VWUY0fEqm4pipsX6lK8CsEOIsMEiSpAfKIJL6yqIQSZJ+UzrPmkiSlOA8uw2ogWIL4D/g\nE+dZdTXMVImJiWHMmDEcP3iQ21evoqevDwnBBlVnkAnGWPJ4LV9yDD2ZcSZJEj+NHMn+AwfwuHAh\nxW3IzZs3M2PGDF4o4xl9gqrQxsXxJjCQ2QsWsGbjRk7v3k2N1q1p1LAh5z080NfXJzIykkOHDtGy\nZUv1iS2WCTJtmO3Zk/FndemSJ4RNlezQL2W7ameYJef06dM0atwY965d+S4tP9WUov6n9nNGUNEx\ntxcv6HTqFCuWL8dFJSdxAkFBQRS3suJMly7UTCn0TzItjZEkLvr702DnTub/+ivjxo1j/fr1/DRy\nJFpCEC9JjB41ilmzZqlPbLFMkinDTI31K72GWSVgE6ADPAFcUMQn2oUiftEzoJskSaHK+lOAAUAs\nivx4J1JoU+0NM1Asbdva2jLy++8ZPWXKx7hlqaVgyqwhllz8kjvvK42/9h07cvDIETw9PT85nh0d\nHY2RkRFLlyxh+PDhn3+GXE5YaCh/rlvH1AULsC9blqDXr4mOjsbOzo5Dhw5hamqaufGoEZk2zP7J\neOBq0alTnhA2VbJDv5T11N4wA5gzZw67V61KfSUqgfQYZBn5PFPQwn2PHtHp2DFmz5rF9OnTPynv\n378/T93c2N+2LUbJfbpS2V04+uQJM1+8QC6Xc+PGDZwLF8YrOJiTbm7Ur1//03s0fEKmDDM11i9N\nSqZvgMOHD/N9t2743buHkbm5YosSPm+EpZSDLjWUdeLj44mJjlacIErpOXI569auZeLUqbi7u1O5\ncuUkzdy+fZsKFSoQGRHx6SnL1PoRF4fHyZN4eHlxws0NmUzGoWPHNM6u6STThtn+/Rl/VocOeULY\ncgKNYaZALpejlz8/25s1o/PnQtN8qTEGhMfEYJA8pqJKG/ffvqXp+fP0d3FJ4gMIisll7Tp1GGxm\nxuCKFdO9Xfo2OpoVpqbI3Nz47cYNrl65Qrly5TLUb3UmU4aZGuuX+nrXfUO0adOGyk5OLFi6NO00\nTKmln0jvKppczoQxY9A3McGhUiXad+jA+3fvPnnekMGDaduiBRPGj8fz7NkkZQ4ODtSuVYsZM2ak\nf4AyGXUaNuSH77/ndUgIOlpaGqMsJ8iilCYaNKSFTCZjw/r1DDl1Crkkpf1OpXUtHe/g9eBgDDds\noIyrK847d3I2Wc5OgLImJmyoVIl169ezcePGJCcm9fT0+HHQIOZeusSHhPR36XjvTfT0mBwWhlG+\nfERGRmJubv7ZezR8IWqsX3lnJLmcCRMm4Pr337x7+fKjcZbS0n96Ty4l9+mIiYG7d/nT1ZVmFSqw\nc88eRciM2rXZt3cvURERH33WtLVZvHQpzpUqUb9FC7y9vRObEkKwctUqFi1eTFBQ0Kd9SOkXRSYj\nMCCAYmXKINPRYcW6dZn8lDRkCDUWNg05S79+/XgXF8d/z56l7DaRkXcupTorV4JMxkFfXwDW7N7N\ngBkzaHfkCEuuX+dpeHiSJpoWK8YCR0fmzJ3L7Nmzk5T179+fAlZWrP5MxpPkfWu/fz+jT59m186d\nien0NGQjaqxfeWckuZy2bdvi6OzMsCFDFPkyM7NFkswYSnJdTw/KlKFbmzac8PbGzMyM/fv3M3Ha\nNBavWEGZsmWZP39+ovFnWqgQc3/9lSkTJtC0aVNevHiR2JyzszOdOnVi/Pjx6e5aRHQ0dra2hAQH\npxizTEM2oMbCpiHn2erqSov9+4lUJuNOk+Ra9bn3b/RoABooYy3evHmTYcOGcfHaNTytrKi2axed\njx3jdVQUoIh90qNMGQ7XqcOC335jy5YtiU3p6ury24IFzL54kdCYmHSPr3jjxgghEtPDachm1Fi/\nND5m3xAPHz6kQdWqNG3WjIULF2JetGjas8qMIJdDeDjV6tfHrFAhjiWLD3bw4EGG/vgjVsWKoauj\ng8elS9ja2nLX25v58+ezdMUKtm7dShtl+pPnz59TokQJ5PHxKUfcTmnFTi5n5JgxPHjwgGPu7hnr\nvxqTaR+zZHHh0nVfq1Z5wkcjJ9D4mH1Kl65duXf6NOsaN+Y765Ty2qPQrkweBFjv7c2Q06d5Fxqa\n5CSkv78//VxcuHPhAuVNTPAKDubthw/c6dmTwIgI+t+8SeNGjdi4cWPC7xO1atdmuKkpvR0cPs35\nm1KfAc+AAGpt24a/n58ms0gGyJSPmRrrV94xMfMAdnZ2+Lx8iaSvT71mzbh06RKvg4KyxGEWmQwM\nDHDdsoW79+8z65dfkhS3a9eOx76+/LpgATNmz+b3339HV0eHXn36MGP2bMaMGkWXLl149OgRoAg4\nmS4S+hkXB7q62Nja8iFjPdeQWdR4xqnh67B71y5mrVtHwz172HL7No+UybsTSW2VLKX3L4X38UdH\nR3r27EmlypWJj49PvF60aFFOHD/OYXd3JmzaxNHTpzE2Nuacvz+NDhygdcGC/HvsGIsWLQIUkx1b\nW9uPUYU/t7Wa8BwDA7S1tYnJwEqbhkyixvqVd0aSRzA0NOR///sf/QYMoE2HDtiWL4/X1atZklcO\nmQz7ChXYs2sXs+fNY9e2bZw7d44nyuTkenp6NGnShKZNm3L27FnK2dsrng1YWljQvk0b1v3+OwB/\n/fVX6g6wyWefcjno6RESGsrsBQsYMWrUl49Fw+dRY2HT8HUQQtClSxdOnT7Nxtu3sfvjD5Z6eRGv\nGpMxOcndLj7T/jZlxPzRo0dz7tw5Ll++nOjgX6VKFZo1a8br16/Rjo7mitIP9lJgIOurV2flqlXE\nxMQQEhLCzp07KWVklPaAkvVnqrs7zZs3xzq11UANWYca61feGUkeQltbm8mTJxMcEsLyFSto3aED\nw4cP5/KlS0kPAKR1GCANqtesyZ8bN7J67VqmTJxIVWdnTE1McCxXjp/HjCE0NJQhQ4bg/+oVj58+\nBaB169aMGz2apStWsGzZMrZt28bQwYPTTByc2EflL8379+959+5dqmmfNGQxaixsGr4u9erV49zL\nl9y6eZN98fHU2r6dPffvE53awabUSOWddGvQgCdPnzJ12jR69+mDkbExRSwsFLk7r16lTp06NG7f\nnv/dvQvAQEdHmhYvjpmZGa1at+bQoUMU1NambrFinz4vtd8HmYyX5uYU0ZzIzBnUWL/yzkjyIEII\n+vXrx91798hnYEBzZQiL0JCQT324Mmik9e7bF/fTpzl//jwBL17w6PZtli9axKugIMra2VGwYEH+\n++8/LC0s6NalC1ZWVlSvVQvXzZtZt3Ytfn5+1Eme5De50RgX97FMJqNEiRJ0bN+edStXfsGnoiHd\nqLGwafg2qFChAu5nzzJs/nxmPXtGo927uRYYqCj8nF9XashklDY25kiZMpyrWpX7bdrwrHdv3Fu1\nooKvL61at2bNmjXs2L6dn6dNQ0sI2pYqRT5tbQ7WqIFMJmPM2LH8WLFiqu2n9rsx2tSUAwcPEhER\nkclPREO6UWP90jj/5yJu3rxJ27ZtEZKEs5MTderUoVbNmlSrXh0dHZ2kldP7kqaw+vb7ypVMmT2b\njZs28fr1a+bPn8/LZ8/Sbl9VZMPDISiIB48eceTGDarWrMl3desC4Hb0KL/8+isXLn+SelBDKmTa\n+T8TSYRFgwZ5wnk2J9A4/2eMyMhIBgwcyO6dO/nOyooG1tbYm5rSrEQJTBJS0UHaBwNS0zWV6/fe\nvKGpmxutWrZk6NChNGrcmEPNm1PXyiptXUzm7xYVG4urMlTQoEqVFL+HQmD155+cP3eOUqVKZWT4\nak2mnP/VWL+0v3YHNKSfSpUq8fTpUy5dusStW7e4c+cOa9auRVdXl/lz59K4YUMMVX0m0mOcJfiA\nqfw7fORICllYMGfWLPT19dn655+fbyvh/oS2TE0ZNGEC7nfuYFGkCLv//ptaNWty7do1Ll+9yvPn\nz9N/gEBD5shDM0gNuR99fX22//03M2fM4P79+7i7u7Nm506GuLkxztmZ3uXLUyKlnJMJ2pJOypmZ\ncbFVK/o+ekTXbt0YV748tRJyY34uv7DK6st/L14w+NixxKLO9vaEx8YSEBCAj48PNjY2yDS/Y9mH\nGn+2mhWzXI4kSRw8eJBff/2VF76+HNi9W5HjUls76QwwPSQYVnFxivtVRSw9S8XJHHyvXbhA3ZYt\nKVOyJMGhobT87juaN23K4PHjkeRyShcvzr6jRzWOtJ8h0ytm589n/Fl16+aJGWdOoFkxyxp8fX2Z\nNHkybgcPMsbJiZ+rV898Yxn9Y55cI2WyJNpZ5eBBXr58iYODA14XL3Jl0CDaHDtGfHw8UVFRLF60\niF6fyxGqIXMrZlmoX0KIFsByFO5b/5Mk6bdk5T2BScof3wNDJUny5iuhviZpHkEIQfv27bl8+TJ9\nXFwYOGAAL729P/X3Sg8JoqSaSD3hKz0+bMmMOKfatVmzaBGWlpa0aNGCkOhouvbpQ0hQELN//hmv\n27d58OBB5gevIW3U2EdDQ+7BxsaGnTt2cNbTk1mXLnFIeUo8U2TUUE6tvlLvLrdsyevXrxk7ZgwR\nsbFYGhnxqG9f/m3dmtiwMNxOnsx8XzWkTRbplxBCBqwGmgMOQA8hhH2yak+AepIkVQLmAhuzcWSf\nRaPEeYg5c+ZgV6kSY+bM+ZjWKcEBPyOClfCSqyY5z8wfbZmM2nXqcOzkSc6dPctSZQwhgMMnTjBw\n4EAaNWqU8XY1pA+NYaYhF+Ho6MjOXbv4/uhRgqOjc/bhqRym0hUCa2trOnfpwuY2bTBS7iTcCgwk\nTkeH1atW5Ww/1Yms06/qwENJkp5JkhQL7ADaq1aQJOmSJEnvlD9eAqyybVzpQONjlofQ0dFh9erV\n2NnZ4VyjBlWcnalQqRIjR45UhLVIEJ8MnoDK0D3J/EHKVKiAFBPz8X5lWeOGDfnjzz+Jj49HW1vz\nGmYLGkNLQy6jY8eOdOjWDcctW6hSuDD1ihWju50dpY2N09/I5/zIVEmpXrL7n/funbQMqGZpSVRU\nFHfu3KFGjRrp75uG9JN1+mUFvFD5+SUKYy01BgL/ZtXDM4PmL2Iew8LCghcvXnD37l3Onj3L6HHj\nGD1uHLGRkWjr6uZMJ5I766r+gim/HzFoEG4nT2JVtChGhoa0a9qU/iNHUr58+ZzpozqgMcw05DKE\nELhu2cKNGzfw9vZm3fr1TPvzT4516kRzGxtFpfS6VGSGZAehUqOkiQmLFy2iRcuWFC6+O9j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XkTGUliYmKKYSpbtiyeHh6s37DhvckMB/buxffHHwk5dw5LS8tMfAm6MXgo8+7djB/LxUXXUKYL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\ntu/On2fMV18BMObLL/lt+XKqVavG9m3bEBGOHDnCJ0O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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t=0\n", "fig,axs=plt.subplots(1,2,figsize=(10,5))\n", "ax=axs[0]\n", "mesh=ax.pcolormesh(np.ma.array(adj[t,:,:],mask=1-tmask[0,0,:,:]),\n", " vmin=.7,vmax=1.3,cmap='bwr')\n", "plt.colorbar(mesh, ax=ax)\n", "viz_tools.plot_coastline(ax,grid)\n", "ax.set_title('Adjustment factor')\n", "ax=axs[1]\n", "mesh=plt.pcolormesh(ssh[t,:,:], vmin=-1,vmax=1,cmap='bwr')\n", "cbar = plt.colorbar(mesh, ax=ax)\n", "cbar.set_label('ssh [m]')\n", "viz_tools.plot_coastline(ax,grid)\n", "ax.set_title('sea surface height')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check adjustment factor is >=1 where ssh >=0.\n", "inds=np.where(ssh[:]>=0) \n", "(adj[inds] >=1).all()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check adjustment factor is <1 where ssh <0.\n", "inds=np.where(ssh[:]<0) \n", "(adj[inds] <1).all()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check adj <=1 is false when ssh >=0\n", "inds=np.where(ssh[:]>=0) \n", "(adj[inds] <=1).all()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check adj >=1 is false when ssh <0\n", "inds=np.where(ssh[:]<0) \n", "(adj[inds] >=1).all()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating scale factors and depths" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def calculate_time_dependent_grid(\n", " e3t0,\n", " tmask,\n", " ssh,\n", " input_vars,\n", "):\n", " \"\"\" Calculate the time dependent vertical grids and scale factors for\n", " variable volume in NEMO.\n", "\n", " :arg e3t0: initial vertical scale factors on T-grid.\n", " Dimensions: (depth, y, x).\n", " :type e3t0: :py:class:`numpy.ndarray`\n", "\n", " :arg tmask: T-grid mask. Dimensions: (depth, y, x)\n", " :type tmask: :py:class:`numpy.ndarray`\n", "\n", " :arg ssh: the model sea surface height. Dimensions: (time, y, x)\n", " :type ssh: :py:class:`numpy.ndarray`\n", "\n", " :arg input_vars: A dictionary of the initial grids/scale factors to be\n", " translated into time_dependent. Example keys can be\n", " 'e3t_0', 'gdept_0', 'e3w_0', 'gdepw_0'. A dictionary with\n", " correspinding time-dependent grids is returned, where the\n", " keys are now 'e3t_t', 'gdept_t', 'e3w_0', 'gdepw_0'.\n", " :typ input_vars: dictionary\n", " :type return_vars: list of strings\n", "\n", " :returns: A dictionary containing the desired time dependent vertical\n", " scale factors on t and w grids and depths on t and w grids.\n", " Dimensions of each: (time, depth, y, x)\n", " \"\"\"\n", " # adjustment factors\n", " H = calculate_H(e3t0, tmask)\n", " adj = calculate_adjustment_factor(H, ssh)\n", " adj = np.expand_dims(adj, axis=1) # expand to give depth dimension\n", " # Time-dependent grids\n", " return_vars = {}\n", " for key in input_vars:\n", " return_key = '{}t'.format(key[0:-1])\n", " return_vars[return_key] = input_vars[key] * adj\n", "\n", " return return_vars\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check\n", "Timing" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "input_vars = {'e3t_0': e3t_0,\n", " 'e3w_0': e3w_0,\n", " 'gdept_0': gdept_0,\n", " 'gdepw_0': gdepw_0}" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 loop, best of 3: 2.5 s per loop\n" ] } ], "source": [ "% timeit grids = calculate_time_dependent_grid(e3t_0[0,...], tmask[0,...], ssh, input_vars)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "grids = calculate_time_dependent_grid(e3t_0[0,...], tmask[0,...], ssh, input_vars)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "e3t_t = grids['e3t_t']\n", "e3w_t = grids['e3w_t']\n", "gdept_t = grids['gdept_t']\n", "gdepw_t = grids['gdepw_t']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 1. Water column thickness\n", "Calculate total water column by summing vertical scale factors for both initial and time dependent scale factors. In the time-dependent case, the thickness should shange with the sea surace height. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "H_0 = np.sum(e3t_0*tmask, axis=1) # initial water column thickness\n", "H_t = np.sum(e3t_t*tmask, axis=1) # time-dependent water column thickness" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#difference in water column thickness - should be explained by the ssh\n", "diff_depth = H_t - H_0\n", "diff_ssh = diff_depth-ssh" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean difference with ssh: -2.8955083512058694e-16 m\n", "Max difference with ssh: 2.2737367544323206e-13 m\n", "Min difference with ssh: -2.2737367544323206e-13 m\n" ] } ], "source": [ "print('Mean difference with ssh: {} m'.format(diff_ssh.mean()))\n", "print('Max difference with ssh: {} m'.format(diff_ssh.max()))\n", "print('Min difference with ssh: {} m'.format(diff_ssh.min()))" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(diff_ssh.flatten())\n", "plt.xlabel('Water column difference - ssh (m)')\n", "plt.ylabel('Number of values')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, so the water column is expanding and compressing by exactly the ssh (to within reasonable error). That makes sense.\n", "\n", "#### 2. Depth of bottom ocean point\n", "Next, check to make sure the bottom hasn't moved! That is, the w point that represents the bathymetry shouldn't be affected. \n", "\n", "Note the depth variables are like a pressure, that is, gdepw(k=0) = 0 because it is at the surface. So the bottom feels the ssh moving up and down. So, compare gdepw_t[bottom] - ssh to gdepw_0[bottom]." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mbathy = mesh_mask.variables['mbathy'][0,:,:]\n", "bottom_0 = np.zeros(H_0[0,:,:].shape)\n", "bottom_t = np.zeros(H_t.shape)\n", "for i in np.arange(H_0[0,:,:].shape[1]):\n", " for j in np.arange(H_0[0,:,:].shape[0]):\n", " level = mbathy[j,i]\n", " bottom_0[j,i] = gdepw_0[0,level,j,i]\n", " bottom_t[:,j,i] = gdepw_t[:,level,j,i]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At a single point." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "j=400\n", "i=300\n", "diff = bottom_t - bottom_0 - ssh" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "23.375" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bottom_0[j,i]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 23.77571649, 23.44446205, 23.0530772 , 22.68543079,\n", " 22.46104562, 22.43946222, 22.631597 , 22.99489061,\n", " 23.45437265, 23.92271361, 24.28867064, 24.47369503,\n", " 24.42435875, 24.16847472, 23.79394418, 23.3641584 ,\n", " 22.97786956, 22.74423954, 22.7199077 , 22.89045275,\n", " 23.17842863, 23.5164112 , 23.81913159, 23.97568495])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bottom_t[:,j,i]" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 8.69166276e-04, 1.50665308e-04, -6.98260355e-04,\n", " -1.49569661e-03, -1.98239487e-03, -2.02920993e-03,\n", " -1.61246373e-03, -8.24468832e-04, 1.72161701e-04,\n", " 1.18800748e-03, 1.98177944e-03, 2.38310297e-03,\n", " 2.27609108e-03, 1.72107082e-03, 9.08702680e-04,\n", " -2.35157594e-05, -8.61388016e-04, -1.36813865e-03,\n", " -1.42091514e-03, -1.05099773e-03, -4.26369280e-04,\n", " 3.06725197e-04, 9.63334934e-04, 1.30290394e-03])" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "diff[:,j,i]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Over the whole domain, at a single time." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sO80U9tId2BT2ckWiQW0WHYRaG7LHwl6vtizgMRIIYt2+23WSLUtSMMukaVHY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sg1fMEdvNfsWViXz/xoJjADrmuykOVzO535D6rtcVTKQwvn3ir2Eo3/FLuvIadvLNGK3e6KCSX+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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t=10\n", "plt.pcolormesh(np.ma.array(diff[t], mask = 1-tmask[0,0,...]))\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.00629676075017\n", "-0.00619416041651\n", "-5.35265373469e-06\n" ] } ], "source": [ "print(np.max(diff))\n", "print(np.min(diff))\n", "print(np.mean(diff))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Next\n", "* Write this functions into a module grid_tools.py in salishsea_tools \n", "* Figure out U/V grids" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }