{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Stream lines\n", "\n", "*Prof. dr.ir. T.N.Olsthoorn*\n", "\n", "*Heemstede, 21 Oct 2016, 24 May 2017*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stream lines\n", "Streamlines are lines of constant stream-function value. This differs from flow paths, which we will tackle later on. Flow lines of flow paths are lines that are followed by particles. Because in a dynamic model the flow conditions will normally vary with time, such flow lines are not unique, i.e. particles injected at the same spot but at a different time will follow different tracks and must be traced. Dit is not the case with streamlines. Streamlines (if they exist) can be computed by contouring the ``stream function``, without any tracing. However, the stream function is only defined in 2D steady-sate flow without sources and sinks (and without leakage or recharge for that matter). It is said that the flow must be 2D and divergence free, which can be mathematically expressed as\n", "\n", "$ \\frac {\\partial q_x} {\\partial x} + \\frac {\\partial q_y} {\\partial y} = 0 $\n", "\n", "Concrete sinks and source cause so-called branch-cuts in the stream function. In practice, these can be dealt with in way that they will resamble vertical wells in the 2D image, which is often what they are.\n", "\n", "Steamlines are especially useful in cross sections, either flat or axisymmetrical. This is because in such cross sections flow tends to be essentially 2D and divergence of flow is virtually absent. Even in transient flow situations, the divergence of fow due to elastic storage in a cross sectionis so small relative to the local specific discharge, that it can be practically ingored, meaning that also in transient flow in cross sections the stream function may be used, yielding a continuously changing streamline pattern along with the development of the flow, which, in turn lends itself of animation.\n", "\n", "Where the conditions are fulfilled (divergence free 2D flow), showing streamlines as contours of the stream function is efficient manner to show the flow in a quantitative way. The beauty and the power of the stream function is that it provides a complete spacial picture of the actual flow. Given the function, the specific discharge at any point in the system is known as well as the total discharge between any pair of arbitrarily chosen point. As a plus, the stream function can readily be computed from the results of the finite difference model.\n", "\n", "## The stream function\n", "\n", "The steam function is total discharge between a streamline taken as reference and any point in the model. And a sream line is a line on which the stream function has the same value. Hence stream lines are contours of the stream function and the have a value, that of the stream function at the line.\n", "\n", "One can draw an arbitrary line between the reference or zero streamline and such a point, and the total discharge across this line is given by the value of the stream function. There is, of course, also a stream line through this arbitrarily chosen point. And it follows that the discharge between this streamline and the reference stream line is the same everywhere in the model. This is true for any pair of stream lines. \n", "\n", "While the reference stream line, the one that we will give the stream function value zero, can be chosen arbitrarily, we should taken one that we know beforehand. In practical modeling that is generally so for the bottom of our model, when it is closed. And if it is not closed, but we know how much discharge enters the bottom we can select the point to the left end of the bottom as zero and compute the stream function along the bottom before hand. Hence chosing the bottom of our model to have a stream function value zero is most often a good choice.\n", "\n", "Remember we're dealing with cross sections. That is in practice we deal with the zx plane of our model.\n", "\n", "Mathematically we can obtain the stream function, indicated by $ \\, \\Psi $, by integrating the horizontal specific discharge from the bottom of our model upward to any elevation:\n", "\n", "$$ \\Psi = \\intop_{z_{min}}^{z_{max}} \\left( y \\right) \\, dy $$\n", "\n", "The finite differnce model yields among others the flows across the cell faces. So to obtain the total fow between the bottom of the model and the top of the lowest layer, we just have the lowest layer of `Qx`. When we accumulate `Qx` from the bottom of the model upwards we obtain the stream function values in all cell corners, and not in the cell centers, of the cross section. The stream function for a cross section of a model can, therefore, be easily computed from the infacial flows\n", "\n", "$$ \\Psi = \\sum_0^n Q_{x_i} $$\n", "\n", "Where $ Q_{x_i} $ is the interfacial flow in `x`-direction at some given `x`-coordinate, 0 the index for the bottom plane of the model and `n` the index of plane `n` of the model.\n", "\n", "Notice that the dimension of $ \\Psi $ is [L2/T] for a flat cross section or layer and [L3/T] for an axially symmetric cross section. When contouring the stream function $ \\Psi $, we should always denote the difference between two adjacent contours, i.e. the stream lines, in the title together with its dimension. With this, the flow in such a picture is fully determined by the stream line contours.\n", "\n", "The implemenation follows next." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The stream function implemented" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "## This function is merged with the file fdm_d.py into fdm.py\n", "# So import fdm.py to use it with fdm3\n", "\n", "import numpy as np\n", "def psi(Qx, row=0):\n", " \"\"\"Returns stream function values in z-x plane for a given grid row.\n", "\n", " The values are at the cell corners in an array of shape [Nz+1, Nx-1].\n", " The stream function can be vertically contoured using gr.Zp and gr.Xp as\n", " coordinates, where gr is an instance of the Grid class.\n", "\n", " Arguments:\n", " Qx --- the flow along the x-axis at the cell faces, excluding the outer\n", " two plains. Qx is one of the fields in the named tuple returned\n", " by fdm3.\n", " row --- The row of the cross section (default 0).\n", "\n", " It is assumed:\n", " 1) that there is no flow perpendicular to that row\n", " 2) that there is no storage within the cross section\n", " 3) and no flow enters the model from below.\n", " The stream function is computed by integrating the facial flows\n", " from bottom to the top of the model.\n", " The outer grid lines, i.e. x[0] and x[-1] are excluded, as they are not in Qx\n", " The stream function will be zero along the bottom of the cross section.\n", "\n", " \"\"\"\n", " Psi = Qx[:, row, :] # Copy the section for which the stream line is to be computed.\n", " # and transpose to get the [z,x] orientation in 2D\n", " Psi = Psi[::-1,:].cumsum(axis=0)[::-1,:] # cumsum from the bottom\n", " Psi = np.vstack((Psi, np.zeros(Psi[0,:].shape))) # add a row of zeros at the bottom\n", " return Psi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function expects a 3D array as Qx in from the finite difference model and the row number that will be considerd the cross sectional plane for which the $ \\Psi $ is to be computed. It is the user's responsibility to make sure that the requiremenst for the stream function to make sense are fulfilled.\n", "\n", "The function can also take a 2D array. But this option is seldom used, because in our finite difference framwork, the model is always 3D, even when it only has one row. We always keep the `z`-direction vertical, thus preventing a lot of confusion.\n", "\n", "The function can be easily adapted to compute the stream function for planes along columns. But this option is also seldom used, so it is left out." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Examples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Two examples will be worked out: a building pit which shows how detailed vertical flows are computed in a practical case to optimized pumping. It also demonstrates how one can readily switch between flat and axially symmetric cross section and it demonstrates the stream lines.\n", "\n", "The second example shows the heads and stream lines in a confined aquifer with a partially penetrating screen that extracts water. This model is also axisymmetric. It also compares the heads from the numeric models with those from an analytical solution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Smart pumping below a building pit: a flat and an axially symmetric model\n", "\n", "The first example will consider a building pit which can both be computed in a flat cross section and an axially symmetric cross section. The subsurface consists of a 5 m thick semi-confining unit atop a 20 m thick aquifer atop a 10 m thick semi-confining layer atop a 30 m thick second aquifer. The building pit, which has a width of 20 m, a radius of 10 m, and is surrounded by impervious sheet piling to a depth of 12 m. Wells with 5 m long screens are installed inside the sheet piling immediately below the top confining layer. The objective is to design the necessary extraction to make sure that the head below the building pit is lowered by 5 m.\n", "\n", "The properties are as follows" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "def inpoly(...)\n" ] } ], "source": [ "import sys\n", "\n", "myModules = './modules/'\n", "\n", "if not myModules in sys.path:\n", " sys.path.append(myModules)\n", "\n", "#%matplotlib notebook\n", "import matplotlib.pylab as plt\n", "import numpy as np\n", "import fdm_d\n", "import mfgrid\n", "import mfetc\n", "#import mfexceptions as err" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total outflow = -4.6819 m2/d\n", "Total inflow = 4.6819 m2/d\n" ] }, { "data": { "image/png": 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xYc4tYn2BK5pmUmPVn/5Swqh5kJyCtfZ0nRAeePzFshAejKL1H/GvaBsVxEkq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FeYQz/68zDH8am2ltf2/4NB89fyLSX0oQ2n0pwOFBIA9hCgEg0fOgEMJATKtsOII1Sen+HipGGO\nem0MB+BHxdWmlqLBtXyv17KTGsqoZY8NwOyhhgp8MQ+SHJzk4SYPF7m4aEU+ubjIw8Wbc10s+sLF\n+0+a9W6URvlDy80GfwB8fnA2sr/d5dJwegLs8PtxYd9zNDL6InrNSaoxGr7j/Vw0QmUyqa1CsZOI\nmBAIhOCCIOOtciFWy7TJTeyxiIQrsf4OexspTvBxm5fgwt5w6RGNefdjyZmhIGNFND2F3gx5OJxi\n4/Rlggs1AgjYDX8YDKjslx0gx+FnlcWLlK0LVCSW05N4MoZYLwmfxdQIIWAghsCBEjc5rA0dpLhy\n4Wu7HhkHd1GFjoOpNIvgmweJpDf+KItyKvAjkIujiUyyw/qMfgyc+wDO/3+krlzJnkMOoXDhQpQB\nA8zA4s49YfWysFCXQfDGPaCpIMnQ9ST47gFQvQTcXSkzBrH6lX9x+s0dGHvpFTx6w9l8+/FyyL2W\nMl6jmnHk8TmtuYKN/Idu7MdR3MrnPMh8pnA8N9GJLnzCxyzjd3J/G8xHw/vy/FKRja038ha/8gpL\nkBBpRR6tyKOUbArIIh+3ucODKJHlUfE5/WxCQkOP2N+kGr8t+UJelnK8lFOLFxVKYNi38A3wPSL5\nuCnATT5uulBMvtVfAW7yQrm512oiWrQFXv8SWjTy95btMZAcKttr/XgcPvz48OG3cvt1eAfSMFCJ\n3ZfUvhuH1ltjwnvwZh1jsO86Ght7YV5Z344NOCgsXa/w6Q8K/zovMj4jMcwIl1Ldg+PKOTDwWDix\nsW+8jVwy+DKwQMMlgT8D/QgCOMTUPlPYY6HaQIIaAxj0EC8WgLQtVDE8AX6K0eGPkY8PROoGF9F0\nrOWZ/Y7I6ZJkoEHBjYtcC0AklouvQ+bOSvhbk3g1PydCRkjzFCCAjx1UYZBLaVr7iUcO67P5m3Al\nldMCOAH0UPl/gfYBnBRJatMGAG3DBhPgAHTvDd/b3jf2Owx81bB6MXQdBPuNgi9uY9akZ5nwwiCG\ndR3BnOvu5OcFfg4cOho2vISw42bIPoFscQblDKeGe2jFZKpZzkom0I3pjOBuPudBPmASB3MF13E9\nC4wFLNr/C8atdlCcN5Cj6EMeQ1nLLlazkw2UsYUK/mIHe6gltMKnGIYvMsPB4oWECQh4cIRSLi5a\nkEs3SsnDTb7lfTl5aBZjTnRz543ORnn4FBXC7j2g6yBaf186Oj58eKnFG/UvyPVF8KJBiw/vkT5u\nXarzdJK+g1Mm8XYcte+7Eb0l+o4dDib8W+H+Cxwc0M6+Y6kSAUgaGqOxaSN8/y70ORvk+u2cnjI5\nZfCl2evhlDIDcJySgV9X8ccBDHYgkAqvLpnrhwRw5ah8ECGjhsCFXbahJCIhotAsXyFHU1iHgoRs\nAYhgrli/Xk8MaAjKRAOJyLpongksztig4BEU5rZOvwcjSKrhY4em48Fdt3AjkxOB3U0EMOzek6ai\n4Bh86Bk7niMTtA/gpEhCURGCx4O2dm2Y2WsAzHkcKsogNx86DwBPPvrPH/H+im7MnKkzuV0vWhtz\nOPvsEzj/vOtg24sc6PwXcBg0mwFr94dd96GU3EsWk6nhdmQG0IUHWMl4/mQcXXmIE7iPb3iCL5hG\newaTs+h0Zp7ZkSkLVrMw7we+4kua04KudKUrnTiSvjisNRAGhrWqKMDqjX6OOc7Lk08pDBxkHhdg\nj4WPjmFJRO4dULaBOiUNDPz4qaWWWmqs3P7P5FUdVcvZnWp53KjFTy1eavGReBvf4MoUF25cuKyy\neQicEyfBg+E2b3Zy/0wnD4510KWlyXdaEkGZ+p67EqQ1AVj+JWSfCB3aNUhFUnJZU2pev7nnTjrI\nKdd/hZMRWoBqGnDTmKshz4IeMvBmXbeOATzFKmtijL/dm6GmBEKSgYkLTzY/yNwG3QkBCdmaulBs\n5VieiIxPzSLgV8jPii8TzbODCjvwCIOKaB0ygmV0bt8As7bB+oEN+mANuxuGeS5UJt/lndBkG945\n0rRUO9W+oWEAx7BOW9PxW3kAw1YO8g0rDsnMg8kXaqtQzglsYis/UGH59c06X6itXd6sD+d/sLux\nb0uj0D6AkyIJgoDUsSPaatumKgdYT5xffmB3z+HMm1dGh9qDyXrhVU76+DgGDvQg9rmQI3eNZ9jV\nGhTkwdpb4KdLYM9PUNAXCifCrvsg5zTcrrGo/EglF5HHW3RlGquYyJ9cTzuuZyg3sJZvWcxLVPW+\nmdGThnBRu7OQOZ4/WcFy/mAxP/IVXyIiUkozmtOcYkoopJBccjGqsqlZk0U7IZv2KRj24I6nfssj\nEpzc6XxcLf4uXhaGgIoXbwRsqQmBl3iBqgICLly4rX+iK4vq7dkU15ZQmu22alwWbAmWwmBGTvGn\n+1sN/Pou5I+GTi1TapIyua39yLxpWulkLuM2qFU1nDHTDZEgIbnHITGQOPNMldKiAJ8nBBeq1cYO\nKlSox8N4pLXM/WvrWrAihOIZ+/B12OCb3onEgCOYP/GrgmHI3NBbiaMnXruwnFDPWLQxP8HFHeGQ\n/JSbNJgcAvgzvqIJqjLcp0Mwz8RrCnIgEH3Mi52MCKMfsBl31Va21wWigEcQaAQBQhiIGNRyObso\nx82faFFtzT50Wx+R+hruIRSQEazpRFA4CINastFwIeJAwIFoxSFJZKNQaMk7EVFC9QIOdrEJ+K3B\nY0kX7QM49SCpe3fUFeGg4m3uDmR7mvH+Da9xzs8FaBqMP/RIHmrxIb/Oc9Dr6P0h0BEenQKLZsAx\n/4J2Y2DVdFh6HQz9Gopugar3YNPpCO0XkyM9QwWjqOB0cnmfrjzEeh7jb6ZRyc904DY2fvcgj33x\nKidO+Jo3xK/pxBC6cCQ9OQMDgx1sZz1/s4lNbGMrK1iOF6856O4wsQo+NAQ+J7gtnGgd/SighxYG\nm/9U1LgBrgc+ZOYfI1lQxB0CLPnk04KWuHGTFfo/yyqb106cEa7vRX/DjVfAnQug9/6N9515LM9H\ndU1yuWRkhmbGbpZV6/bT/UA/lZ4Af8fsVRFvxYc9YFMlXlCmPX7C3y/Ac68G+FBs2FNfQIgy5LHG\nPjdXBklBwB6gKVtgQ4lzHQYh9jySF3l9+qsKzTwyz5ygpDVoc9Nm89TyDr3Toj6CnCnG4DRaXxk2\n/I40raKKR4b1GpVFLTJe/NTYQIIaBRgCcYx8IKo+CAoiwUakXBCcmOVheDkEPz9bW4DaZczYpb35\nskULCMghQCBY04sCDgwkClHRyMXAjYQLgVxLNixnL0fXmbliAyb267CMiNPGD7/g/kYF17GUOfSl\nE556f8JtLAFu34t7lB7aB3ASkK4bbN8eYONGPxs2mKnNxpbs//MCRh66LMR7qeWBDCj6nscfv48T\nTyygZfEBcOld9Cp7GzjIPFm875WwcDocdjtkFcGBj8FXR8K656HDRdDqNVjXBzafh9D6bXKFVyln\nJBWMJIeXacc4cujFau7mF+NU3px/MavfOJHTJ45mFZ/yJ5+xks/IpQXtGEQb+tCX/vQn7NOuoYZK\nKvnkuzIenFHJY0/pKLk+zC3bdeufYUEd0TJSYij2JDipEyxdf5WbHX+7mfdB42w6lmutoKiorF87\n89EYPATBF1EO4KMiz8eQU33sLvLxm3WQgglSwjKRR0nGApmEcRRZMPER8AFf2NjhVRqRKZoXG5QZ\nnq6QUFi91cG/3pO57ywHzfMiPQ726ZJEXgkxBQ/d7XNhYHu4dnT97nt9SAuYS+nT/bBxiFCWIa+D\nQ4RAhvpShPr1FQQM4RSwGXzVZsDDdWHjb5b39wRorqpsjdARDTACEX3EAxLhfqP7iQQpAMflmKkh\nO6oIIYOuRJWDxl6OMPgiLhsIUChHZw0CB5EfARAEq61oAxWRQEJOADjs18l/+Wvwcj8reZlOdG8A\nuGgMCsbgBJow0DkdtA/g2Oi22zZQXe1iwwY/mzb58dv8pQ6HwLn5rTnYu5MDmlcwZEhrunVzMdIx\nmpx7LqDLySo0s4ImDhkNnz8Dp94GsgIDxsKiR+GbKXD0I1B6BLS7AH65DkqGQnZHaPkKbDwBtl2L\n0OxxcoW3qeR8KjiFbKZTyBiy6c23mx5g9G3TOP3qeQTEsRzAafTiFLbwO2v5lpV8ym+8hYKbUrpT\nQmcKaE8BbSihBO+yIv74vwBDXnaxNxv0uf1QvqvuGJx4pKNiHnxQE8r9RbX0P8nLttwallFLwDoc\nIfKQhHA5QC3BQxOSTpfkwkX3Qo2msAwX8Q5IUCy/U/zNtOKXZRyIhoPu5zmYMsbB+UeFN9BqrBUf\n5RXwxWeQfzx0SNMZgIqU/iBjRUx/H8F+GnMqJxIohI25jkqr7ABuh0p1BICIBAzxQEW0wU/cJszr\nWazycE6A3yPGkLzN3tKRBWb+N7IFDuIZfTkBsHAikW2TiwYdkWAjyH/HK/C+T+T5vGwbeIiViwQZ\nQX179zf3CmW8QTUTabXX966+pFhjb0pwIYfG0LSHfjY27QM4Ntq0yU/Png4GDcqmdWsHbdo4aNPG\nSZs2DkpKZPR1JezseBPTLy7DOcI6fqF8JNwvw/x3YPRVJu+Yq+Gzp+DHt2Hw6eaeOAffDF/dBf2v\ngYKOcOCjsPNLWHQuDP0Sso+F5k/B1otBykcsnkKu8BrV3EgV1xDgGxTfw1x2xDiGnzqcqx58keVc\nRja9aM5oWjCcVvRGR2Mnq9jCMrbzJ8v5CB9VgLkqQzi1hFu7FfKdVIiLfFxko1h7+iq4QvEIIuHz\nZ0zfjm55ejR0NFod4qe6hZ8V2M+tDligIwhOguVazCMozXLcXT0L4epnoBpYiovwvsJuggcluCkg\nxyrb+eFyELSEgYygOcnq7eSZu0TOOq2RfzACVOwAb6UZINnY5LD+Ov1pBAcOGQJpmGqxg4Mcl4pq\nmEdBxhro2JSsLux5iAUeQ7urHBQI8FdcUBKI26au/hLRvdaGr6lHHQhRBlq2GXrZxosEAQJOdMPD\nVq+CO0+OAgzhdtG8aJ3RMpF9xNaP3SLzbY3M0k6Z2xNlt+bna1+AgibwYpgxOE1DYXDRdPRPAFnp\noH0Ax0bPP9+JPn06J6wX27dHKCwksHAhzhEjTGZeAQw4Aj7+vzDAaXcA9BwK7zwIg0aZG2cMHAdL\n/gMfXQWjPwIlFwa8DF8MgV9vhANnQP5FoJfB9htB24PQbCbZwgxkDqGacezyfk37rrdxzfln0INj\nKOMbtjCbv7gVhYcpYgRFHE0J+1NKd8A0NDXspowNVLKNN37ajCDuooqd7GS1dehBDUY955g7Xggd\ngUVIEV6NoEckeIqTi9xQWQkBl9gk6W5KO7mZcbeLMec1YoyGZBrx2sQLsvaKnA7wpeHJZGCgyCou\np4rfMHfgifUCJDPkdRt3HZWRQwNku1TWJDT48Y1/chASCQ7GnWrme7eZu2gDBUHvgd2IyzTLU8jy\ny/ii+AIOZDxx24TBQGxdfHkTCFy1WKZtlsykHpF1keDCXm74Ov9vy+GulXB7KUgZwhuykHmDqzQp\nyAC1ibwXQYDTVP2bYxCbfAzpoH0Apx4kCALKIYcQ+PbbyIqR58HE82HTuvARDqfdAXcfCUs+gL4n\ngMMDxz0JrxwPv74IvceYh3AeOAN+vgpyukOnq6DwBhDzYeuloG6DFrNwSWeye1t/lv5xOXM/uBIH\n76MxmQIOo4DDqGE123mLXXzMVl5GoZg8BpNHf3LoQxYt8WAeF/3FQz5yc+Ge4WGfQ3AzMj+16GiW\nAdNDsSdmALKIYOUiIvfd7WT2LAdrVzfSBi0iSDpUVjWOOju5XVBTG7/O9DSEl05GrojwJ6gL80af\nHqBFdx8bIuRj4w0igxrtYCUQV94gAO1hwWwzvHHvwIEUNaUQNsbd2ssYhkx1AgMvkhVlwO1v/9Ep\nPjh4bKHMjmqZKUfavQnxwUPiPuoGvc8shS83wa9n7dXNSok2VICkkpE9QxwWqAkYmQM4DsHsL5PU\nFH2G+ib5Kqp0kjmpraPhw6DammJUITTdGLDxAjaeeU0ojiksb6838Fu8xPoUvMpnhPcAACAASURB\nVExgGyVkUYFgaxuwtfVH9RvWs4e9WMWRRtoHcOpJjkMPpfruuzH8fgSHFXMz7BRwe+DtWXD1nSav\n51DYbwi8chscNAJECbocB73OhXnXQbuhkN8OOl0JlSvh52tAdJlBx/kXgVQMW86BvwdAq9e5cVwp\nn3/+DCvWLkT13EUZA3ByBm5uIIsetGc87bieSn5mD19Tzvfs5D0AFArx0IMsOtPygDZ079AeP+0w\nl/2Z/yQcuEn9LAPZMA9Tb0zyeKC2FgxUNLzooeSz8toofnR9sBy8Nvd6ePhJL61b+PjFurbLGUn2\n2klOAgIORp3qQJEc7IgIPIyOOQgGNdrf7O1xBfFjGXaUydzwgsJtpyr0ahtvSiEWsMTnJwYHd7xi\nbqz4zhUNvA0p0N9b4a/dUJC+LgDT66BlyEZlui/IXH9gGoZM9gcgEX+tkoFOpMFXAS3KSKtW62A5\nKK8mkQkabo1uVHImVdSQnaBdJOAI9x+wyUfrtQMBjUjgoUaM/xtramhX491OQMGETw6wnglhnmzl\nSqguj2rMqMosBNxALmKo3mG1DesJtgUFN1uBBxt19I1B+wBOPckxbBhVN99M4PvvcRx+uMn0ZMMJ\n58BrT8Flt4KimNNS5zwItw2G+c/C8MtM2WNmwPqv4Y3TYcxXILug9zTQffDTxWAEoOPlkDMSHD/C\nplFoq/vR3Dme6Y+Mp9BzBgYn42UWtTyCj1dRGIqLC3FwHLn0I5d+wPUEKKOKX6liGdX8wU5jHldO\n2wKYHgEBJw5KUchHoRCZAiQ8SLgRyUIiy/qBS5b3RsKcKhBp2Uvj4BN1dqBhoFkPIfseDj7La2Ge\nhBXeMMoEGFoccDJ3kReX28vCJLEPkSQi4rKWVTotEOGMSBIedm8vxCO46FbqsPgua7mkwyo7IpZP\nRu4BES4HAyjtgY2dr4BRQ+CByxr1ZwaYU1+ffgvjj4CCto2vH8wg4/pu9FdfksX0xPlEk5LBlU1y\nBr0NQYDjNwyy0Ig13lqUEdYgJTk1JGcvg0qfLA1NUKmNaK/GAINIYx5puOO30+KAADOd4A5whEtl\nl6FhCGEvBmmPC1HoiURHZGojjLhslSUigUE0OJAtQJATAgSRgEKygYLY9gEkJrOd0ymhD/kxbWIB\nSTTQcETpDLZP3d1XQYBJfM997EcHSup9B10sYR/A+R8g+aCDEEpK8M2bFwY4AGdfbQKcz96EEWea\nvK6DYMh5MPdWGHAK5JaAuwBOfxNeOATeuwROfhEEEQ56HEQFllwBvl3Q/RZwdqem9AdemTmOaROm\nILg/gtrHEdwDcXMpLi7Ax1t4eYpKxmAe1nY8Dkbi4AgU8ilgCAWYEZEr/tQ5rP9uPpy/g179t+Jj\nM352orKHALupZTUa1WjUWN6SGhKtyOh1qplWR3BFG0hwWqDAadt/IQwwnORZ4MIV4s1+3kWndi7O\nGOmywInbJmMCGfu1QGorlp57FI47DM46oGHfeTJyKOkLAg4ez6CmERzIEqhpik8K9SHW3xtgHtQa\nNtRhA2ymWKOt0Txbo0uBSiDCuIff/u2ykeVYWSPEj5U1UBnTRccpqlRFyRo2fZHX8cYcDUriARKN\nIcUqWw5T0QStkd/wE5HIkGyZQR6ZGmRM34ocMrKRRj9oaCUigUHQQDvBmnJMLGMa/eWqyGtegXuz\n3UgRQEEmEjRE6wnLRI4xlXbmH9mLVDKRPWwmTW8SSUhC5wN+ZwhtcKbdz5loDOZzVN8Xg/P/Nwmi\niPO44/C98w45990Xruh2AAweDk/dD8ecHj5Q6dyH4OcP4anL4cY3TM9Oiz4w8gV4czRkFcPR001+\n73+BUgDLJkH5Uuj3PLfd4eeJJ25n+CkX0JZr4e9BkHMWFE9GcHbDxRm4OAONVXh5DT9v4WMu4EBh\nMAqHITMQmT6sWOGhpspDtzZFFLJfSp/XNDS65aUJPrANHpkmMuMxkfXrglMg9dsJNh599TZ4+0Dp\nyL1SE0NOJX27DTtk87TyvaWwQQ+/ASuySrMCFVEydw+ONcjxypGGNNnbvYHKsb1Vqv0aNXHf7uMZ\nfD3BOOKBBvP3cu1hKrWqxp6Y/sM6Y70I9X9rP/8AM5XXu2WQggZRsoyjSNhQSrY6iZ75MrohoyJZ\ndUHjKWE3ngJOIAuQooy8TKSRjTbmYbnfqmX+vUViageJXDlWzq4rmb7YPhPJidy3Ex7dDdu6Nfhm\n1pvWqiqP1fh4IDsL114+S+pLEoL1ZDP2+jlWX/onBRlr+wDOPnKddhreWbNQ//gDuUePcMWVd8D5\nQ2D+uzD8ZJOX3wwuewqmnQZfzoKhF5j8nmdC7W5zVZWrAA6/0wQ5PSdD/gGw6HxqP+jPl+88xF13\nHUrbbu3AWAzlL8DOO2HtfpBzGhSMA/fBSEIXPNyKh1vR+As/nxJgAbXMxOBeQKDXkA7Mfrc7Oc16\n4KUzEp0QaYdIKYlWeZh/7FJMveYHX03jnlXjdJoxOHtD5lu4zwqIM6fI2rXxk5trbtxnxtz4LBAR\njMEJB+KFg/DM9pHBdYEIWQhw5xUBivL8lKMSDvazz9EnigWInoePdQMJufD7U2Z5z97dFhuZRjto\n1Ib1klB1CW+EkZRsBlCxlWONuAlsHaE6McJwmkb17z0Sf5fL7FcoRvUh28YjRRnZaD1SXDm7sX56\nmcwbayTmnWgfW6L+ooFA/X7JF/1s7rnzwZB6NWsQ7fTDrC0wpa15MnsmSBLi/SLT3KeVqwYN22Cr\nEfrWyLxRDL4aNiW4CN37fQBnHzmOOgohNxfvnDlk33tvuKLfYTDwSPjXLXD48WYsDsDAU+HwMfDs\n1dD+QDMB9LsSvHtgwSRQa+HI+8zpqlan4j+sK3+/ciY/3HcyYo9JoN0CkhPyL4bcc6B8Fux5BNYf\nCs7ekH+J6dmRi5HojJvOuLkS81DElaj8xIIffqF5i2X4hDnobLZ9IgmRZoi0RKAQkXwEChDIRyAb\nAbf1JupGsOJdWnUQOWyYiB8R82kkWsmMxYn0JgTf0INz9n4bAAnnl1zmIy83QFUIiJi5gTdUJgKk\n+AmClGBdvMfyszPMvCylb1cGK94mck47WI6s82Q5EATZuj/Ztjl4+3x7tOvcPsce/QYdnm+v9Umc\nPk1hwkkyh/e0Twuk8jYuxcjFm5cf/3+wcjt8Oz6lm9Mg+mwFfLwarkzDFKGddtXCH7sy81CTMhhk\nHDK+GbQ9Uob7g/AKsQydgBFBQS9KUwAcSBxgnSkKHrC8b4pqHyG4XLhGj6Z21iw8d92FINm8Gzc/\nAqP6wJyZMOb6MP+Sf8P632DqSXD/j5BXavIPvdUMNP50POxZAyfNAsXNvTNa8fDUt1jzwXM0XzkF\nNs2BAx6GFieaq60KLof8S6H6Eyj7D2y7HraNg6wjIOck8BwHjo4IiMh0R6Y7U249jYEDRYb1c2BQ\njcZaNNajswWdzehswWAPGpsxWIbBHsxli7WY4CFMx51lpooG30WHBQqCQXJO+g9Q0DUHaojvBFxW\nfTYiTqudK9RGCPGc1rXDlpsBwuOnOvG4FO4e67T16QzVR46lfq+OU56EtqXw0q0NvhEJSQM++xku\nOIx6rG+rH0kiqGmO4cxEH5Bh0JHhviDDAEfIvMG1e1HSToY59Q4aGBoK1WQblajsNjftNKypVCMs\nEzcPlfXEMgnbhPMzjfV0IhsMd5RsPfSm0E+isYpoPGeU0RIFDLH+/azLtL8vNdoHcBpI7osuovbJ\nJ/F//DHO448PV3TvDWdeAY9PhqNHQYs2Jt+ZBTe9Dbf0N0HO7Z+By9qxc9ANkN8B3joHXhzKHz1e\n5v77ZSZNKqH5sAeg4nxYOha+OwmKDoYed0Ppkaa3J/tYM6k7oPJ1qHwTtt0AXAtKBxPwuA/FLw9i\n+fK2XHqp+ZULeJDZH5nUTrY0p368GNRi4GfawzqvvW7www865oMiGEMSPeUQbwoiPpAYc5M5S/fu\n7Pp9F3XRqr/MvXCUxlULWEG6aXoiS9asiZZGcCCJoKcb4AigZ8A4ixnqJ6KvkKHULWMYr6zF4Wtx\n5LW4bfMDOoNkHYfXVhdP5172Y5fpX6NzvaHDTi1OvRalW4vSG91GizOe2DZDdI3P1QA5XiGxznj6\n442nzvrIH8pJVmoqmoQISCBIUXkUP65MijkSCFYcmBjb32p24BbyKSC3/voLNgPTMnfDUqR9AKeB\nJPfvj9yvHzXTp0cCHIDrpsCCd+HWC+DZT8MBx8Vt4Ob34K4jYOpImPAOuKytwrqfAmO+wnjtVNp+\n1Ifxx9zDrbdca9bl9oDDPoVtn8Cy2+Dr4VDQH7qMg1anmVNXcgkUXGkmrQJqvoCaz8y8/HkcGOz6\nzoPmOAC29gJHNzMpnUBpA2Ly7dHNGIUsBLIA2LMLdu0Iv3U1BjmUxBvy7a3eQBpXOqW0BDr6oR7x\nlhXvLVFH1jS6l2jkiBp4o41XtOGKU1+nodU4uEinJbp5SmVcAxlVTmrI45dPytfp2U2HrQ1rn2r/\n57t0hvfSYd3ej7mu9i/n64iCDn+m8N3vJfUDvi8EtjW2ZmtaWQhOL0uhcj9DpDsi7AnKSFEyttxe\nH08uoj6aJ4fqfILIZt1AlZ0oQjyd9eknlfGGeT8JKk9SzXRK8AhKpEyEfLI8EUipC3iI9BOWMZZm\nXNiAJdqNRQ/xNWPpSMeGnMeVt4R9AGcvSBCEdpjnsR8JNAc2AS8DUwzDCNjk2gD/AYYClcCLwETD\nMPRGHg+e8eMpP+ssAj//jHLQQeHK3HyY8gJcPBxmTYcLbwzXde4Pt3wIDxwPU44xAU92oVnXsh8P\nln1N6z/Gcf/AcfDOl3DMo5DXxnRtND8Gmh0NWz+GVdNg0TngGAttzzVTQV9TTso199HJsZYjaeV8\n9v4PzHv3J6bc/jvULoTyl8CwoQmx0AQ6UinIxSCVWKkAxGwQc8K54KHAo9CprQMCCggO683AYT0w\nklDIOFsrZkJGXaV1iUZFpWaezGhoQMDcF8hQzRxbOe61apNVQ23HHBJA01TYZsnb9UaUrXHZywTH\nosaRUXnpDA1ZVGGVXS7KHdxAp7sELB9rXaxrkIo6aUw7oB2wFWKMCEKUcRHjl5PVCSLtnSI5+SJ4\no+K1krSJ1W03SPHb7KoUWVYt0q9N6mNr6Gd7Ya3ETr/IhO7RMsnuWTx+gs9kk11cKTJmpcj7+4t0\ncEvxx1Yf3UjmcyIJPbsbrt8K/i5JxRqVlvpUzivzsanYjTvovswQbaWGd9jJg7TC06ivbamRRPp3\n+6mLRIQmH0Nj038NwAG6Yz4dL8XcfmV/4BnMNZgTAARBEIEPgc3AIKAl8BJmAMltjT0g52mnIXXq\nRNUdd1Dw3nuRlYOHwYXjYfpE6NUf+g0J1/UYYk5RPXA8TBoME9+HFl34+Wcft99rcOutz8Fp58C8\na+GJ7nDILTDwevO4B0GAFiPMVLEc1j4L62fDX4+CpxO0PBlanADFB4NoRW5IeXz89ZG8ueBwHnrW\nZfIMHdRNEFgHgfWgrofABtB2QGAzeH8xy1oZ8U6lmTDKTFEb4ewVPXqxVVjbUA2KCbQEBQQrqFeQ\nOaSzQkCVodriC0qozizLVlkGwQWiFOYhheuC5eBbpyAzf7GMZsicM1yyySRwM8d746vjTfDQOyTG\nnyhx8oDoN9DociKDFs2LNITXvSbxxSqRXyalb9nKEwtg1q/w93Vp6wKAT7fB5FUwZmh6+wH4ciWs\nrYEJ+envy+uDPzTwWe8QmSCR6EmczPQJTWPog7/+pgqxFRGsrSKajkyAsy/IuEnIMIx5wDwba50g\nCA8DV2ABHOAYTCB0hGEYO4HfBEG4HXhAEITJhmE06kSFIMtkT5lC+Vln4f/qKxxDhkQKjLsP/vgJ\nxp4Kc76D9l3DdV0GwpQf4P7jYdIgtGvmcNHFvejRQ2HSpHxwjIJOR5snkH91Nyx+HAZPgD6XgsOa\n1srdD3o/DL0egO3zYdPrsOFl07sjZUHxoVB8GBQOZtXyXvTunWcbvGh6bJQ2dX9Qww96JehVVl7N\n1KkB1qwJ8J/HrSXTRsCUq/PxJBB2S0sRwOH+RyU2bpF4fGqQp9gASHQ5Gqgkfuu6cQJs3AZfzKr7\no9aXXv3d3HH4nDSdf/TDBtjiBdzp0Q/pj1sRMhQbIwiZM1ACmYv3CRrfTPUX7DPTQCP0OTPcb1P3\nHez/n+A9+d+CN/9FACcB5QO7bdeDgN8scBOkecATQE/gl8YegPP005EfeojKceMoXLQIQbbdUkWB\n6a/DuYfCRcPg+QXQrnO4vnlnE+Q8OhrpgWO5SBjDIf+ZjiN4up4zF46aBv2vNUHO5xPgm3uhz+XQ\n9wrIa2vKiTI0P9pMhg5lS2H7Z7DjC/jzIVAreGuMwJ5AJ/j+QMjbH3K6mQd8ejqBkpP8QwoOkIrM\nZNGytbB2HY162uDKLbByNY1uzCUJtDQFAotieh8K6TbagmDFyaazD9LfRyb7aYq+ILPGR8wgWAxS\nU3pRgt6j/zUDXx9qCq9duum/FuAIgtAZuAa4wcZuTmwo3jZbXaMDHEEUyX38cXYPHkzNY4/huf76\nSIH8QjPQ+KJhMOZweH4+dLBtD5pdwC/Hv80LL93P1N5TUV75DnKfMg/rDOloDyOfgyF3wqJ/wY8z\n4bsHoePR0Os86DYy7NURRCjoY6ZuE8DQ2bpqORMv/5bbr11Gke8XWP04+HaE9SsFkNXWTK7m4CwF\nVzMzdxSCnAtKnpVyQcrC6xVwhg8kbxSSpPSsGJLEFPQaBmDYVqTo4Ws7L1Q2V88UO3QqVR1q7PV2\nXUZYd6isx+EZUW3N/OAindKAATvtegjn0TzDXm+Xiccz6CGA12PA5ii9dtkYHcSWk9T39MMJbgM2\nNKx9ZH30GMP1PSrgbAewrj46bOW66m0yR1RBD59hm6JNpiPe95A6v5XXYHw1FK0BHHunKzE/sq5f\nLdxVZVhuhdjfTUg+yW8rqUwcfg9NZ6ZPJX9jMEZoL/TXU6Y3Kk8bXnJCb1fRMnF0xPsbTqlMTN3T\nRjWlwVWm9jbJ9MUdX8PH86rhIys4fV1fXavT9Aa5lyQYmXoNSTQAQbgfuDmJiAHsZxjGSlubVsAX\nwHzDMC638Z8E2hqGMcLGcwPVwAhrmiveGPoAP/3000/06dOnQZ+jYuxYap9+mqLFi5F79owV2LHV\nBDllu+A/H0DPvgAEAgYDB24hEDD46b1KHM9eDH9+B4NGmYd1NusYq8tXCctegV+eh43fm/vodDzG\nBDqdjoWclhHi77+vceKJfv7+20nbtta7in8PVP4J1Wuh5m+oWW8m3zbwbQfvNtATHVIk4g248Osu\ncvNcIFlJdIFoW4EgROcS1ruvqSbqj3XZCoOqaoOBfTB5hrVSyLCt8IlXjuBpMfyKah1D08jLTiJP\n0/4d7KN/Cgnxy0IkX7V+LrIQTyaOjpi6aH7iOtUQqNQgRzY3WkilTQw/pTGEZat0gd0atHXY6+zy\nNr7QODIVBqzWDHrKEg4hgZ40jWEXOr8RYLDgwhmqj9YTR0dMXcPK7wtldMLNftYq1XrrSlkuse5Z\nwkZ6k8eB5Ne7/yV/bKTvKY8A9DUMYwn/EPonAJwioKgOsTXB+BlBEFoCC4DvDMO4MErXXcCJhmH0\nsfHaA2uAgwzDiOvBCQKcIUOGkJeXF1E3evRoRo8eXefnMGpq2D1wIIbPR+GiRYj5caIPd++AK4+H\nv5bBvc/DiDO4//4ybr+9jB9+aEG/fk7Qdfh6Nsy5BSq2w9AL4ZRboLRD/I73rIXlr8Ofb5tgBwNK\nekK7odDmUGg9mHsfa8Ej0zV27XIh1LF6IvyBDFArTCAUqIBAuXkdKAe1kscf81KQ6+XsM72g+UD3\nglaLucJIiwIaUaAi5g8EQGDxLwJ7ygWOOjz4h2iBIsEKmLUvNY2+TgSqEHl7vsTG7SLXnCNFtUui\nO6RXiOXZyg/MFdlTJfLg5UGe/QEgRn3O6HKSequuzwSBG0YKnHtY/HtmZqk+yGN5kz8QWLASvrw+\nul20rih+iBWnTVTdA98IPP8L/Hl19Jjro7fu+sd+E5i0ECouSaQ/kY7608WLYHkFfDe8wSpSph8q\nYPBS+K0v7J98N4dGo2f2wKVbwOhRt2xj0Sc+lRFlPtYWu2mb4VVUn1LLuezgN1pR2gSrqA7mD86n\nmCsozXjfQTqK7zifNpxH8rjMuXPnMnfu3AheeXk5X331FfzDAE6TT1EZhrELUjsk1/LczAd+BC6K\nI/I9cKsgCMW2OJyjMc/f+6Mu/dOnT0/owTEMg10LFpDTsyfOZs1ix5aVRd5bb7G7f3/KzzuP/Lff\njtzhGKCwBF74Am6/GG48k4pPPmHakzdwww3NTXADZlDH4efDwNPgkyfg3akw/1nzuIdjr4X9Dot8\nMBd0gINvMlPNTlj9CaybD2vmmYHJwFi1mKPPPxDh8wNN8FPcAwq7mCebJyJBCE9LxaGXF0G3bnB2\nIz4An3oNfv4Njkrmz2sAzXsNFi6Da9JwcOAv1bCtDIj9STQKLa+E3QKQmx79FcD2AGkNYvaJUKmT\nnp0WbaRjHdSRAdtod+7vo8alpryvTdt30/+iUhlBvJf+JUuW0Ldv3/QMai+oyQFOqmR5br7AXEQ8\nASgNeiMMwwjG2XyCCWReEgThZqAFcA8w075XTkNIrahg0Ukn0eGaa9jv/vvjysidO5M3Zw5lJ5xA\nxcUXk/vccwhi1NPWnQUPzcEYeCSOydexpO0nlBz7DCYOs5HLAyPHw9FXwlcvwoePwuTDoVV3OPwC\nOHQ0FLeNbJNVDL3ONhNA9XbYtJBZty5kaPelsPwN+P5h21iKoKAj5LYxA5Zz24CnmZVKzdxdCFKs\nZaqpAU9W/e5hXbQXL9R16k2XozJdY86k/nT3EewnE5ShbjLeV1P0l2kK7m7+v/4549E/4TP/E8bQ\n2PRfA3CAo4COVtpg8QRM0CkBGIahC4JwAuaqqe8wY29eAO7c286VvDzaX3kl6x5/nM4334wSbwoK\ncI4YQe5LL1Fx3nkgSeQ+/XQsyBEEZntHM3lVVxYecwfua46BEWeay8rbRMXcuDwmyDnqCvh9vunN\neW0yzJloLjXvOxL6HA/tDoi1Ip5SalqfwHVvDufppxV6XSyDvwp2rYTdq8xUtg4q1sNfH0PFBghU\nx/nwWeDMM5MrH5y5TO2XRUmhG95zm/WylUtOc1WXpJi5GJ3LkdMwQng6ppcs4C4UYVUSq5sQqRhR\n9eHrAwRw5BrmrrP2wLq4ga1JKE7fA4HdCvH9g9HTKPbrZHW266OzBNqVA39Ft21AHtIb5rWuEeiJ\nAFviTZPZ8ujpNEGsoz7M8/gEinUBqlNvU/cY4nw9cbnpoUzO7DfFe33T9Nl0Hoym9p00df/wzxhD\nY1OTx+D8EyjVIGPv1q183r49nW66ie733JNUZ+3s2VScfz6u0aNNT45tydHOnRrdu2/i6KPdzHm5\nGN6eBY9OMmN0zrgMLr45fIZVXOWVsPhdWPgm/DIPfNWQ1wz2PxJ6HA7dDoHW+4Eo8eOPOgMG+Fi0\nyEn//in47v3VpuenepuZvHvAWwbecvCVm2VfBZ/Nq6VT21o6tK6BQK15GnqgBjQ/6AHQAqCrZrlx\nN5HeR/uIeOBHNQQCuoBbSQbGEpWjAFQ8QGer21Qr4NMFOmbXQ2cD63cHBL6pFBiaL5IrN67uRPW/\n+QQ+rRG5oSjBPUimNyEvOahdruk8XqtxT7aTAlGsW8de9mfn/YSPB4UqnhSKKUCuW0dKLxQpjM/K\nT+cvThGKOJviFPQn11W/PKzraOF7zqMt5wlRMwMpkG2K6h8Vg7MP4EDKAAdgxW23sfrhhxn6++94\nOndOKut97TXKzzsPpU8f8ubORWrXDoALL9zJO+/UsGJFK0pLrTid2hqYPQOenQrVFXDsGXD+9bB/\nP5L69wM+WPEN/Pqp6eFZuwR0zTzjqkMfltX05pE3ejDz7QNxd94PsuLH1NSX8vLhtklw000pCBu6\nCXaCoMe+xNCwlkwbOjfcbrBilcGHc4KrmhJ87oT3Q4iqN/OJ0wUW/goLXrDXx5etk6L6vuQh2FoG\n70+JkovjSQpdJ6uLum5/Fdw5yuDCI+xtG5CH9EbWPfSpwcJ1Bq9fkoKe6GXvKfJm/2owf63OcyfG\n06vXoS/OdYK28zfqfPS3wUOD69MuSf9JxjJvi05FwOD01rG/47rvUQqf2Va/O6DzbbnB0HyDHLF+\nbRtav0cz2BbQ6e4I/n6SfN/x9CbkJb5HOgaqYaBgIETc833UNJQ6UFqy2aDvYzXwDwM4/01TVP8I\n6nzrrWycPZvfrr6agR99FDv9ZCPX6acjtmlD+ZlnsuvAA8l57DF+6zKKF16o4skni8LgBszYnEsn\nwtnXwFvPw4vT4cwB0K03nHIBjDgLSprHdqI4odcwMwF4q+CvH+GvRbBmMaWrPuLpvjMR77WMXF4z\naNHFXJVV0t6M4ylsFU6eAkjymYJUUwOeVFd0CCJIDjMloXId9mg0ekBtlQB7VCANK1BqBKgxAFfj\n6wbYHIAaJ2kLMt7ghJUCZrRammjFBpi/EUhDkLedlsjw9C54aGB6+wGY/QOsr4HTj0x/X8vKYeQv\nsLwfdG/kuLdE9MpuuHYrqBlcRTXPp3JCmY/1xW5aRa+iSgOgsvMWGDXcyC4+NUopMsTU9CZ9oUhR\n1hrHlcYajiOPE438+vWTcp7kMwRfdljJoUYhgymov/4VG4BHGuun0Gi0D+DUk+SsLA74z39YOGIE\nfz3wAF1uvTWpvGPQIIqWLqXiyiupOO88yvOe5LiuU7j44nbxG3iy4dxrYfRV8O0n8PrT8PAEmHoj\n9D0Mhp8Ch58AbTvFb+/Khv2PMBNw/ggf2Y4aXpu+Bjb/aaatq2HbavjtcyjbQkRAgShBTjHkFkNu\nCXgKTa+PLamOXE5r7qF7VRb8mgVOKzncoLhAdkQmSUkJNOm6uYPqfxOlbxCE5gAAIABJREFU2wFq\nkN57YhgpfTV71weZ+V4z1U/G+7J+Y5lcOG1kuL9gnyTqN+QxSE/ftdSwCRfQCppgmfgSijmIEmjC\nZeIf8S0tacdgWte/sbKEfQDnf4RKjz2WrnfcwYrbbiOvTx9Kjz02qbxYUED+K6/wZfezyL3rOp6p\nOYqaiWPx3HQTYmmCH7QkwZARZirbDZ+9CZ+8YYKd+8eZwciDhpmgp8+h0Kp93KmbP/4wGD06Gzr2\nNVM0qQET5OzeBLs3Q8UOM1XuNPPqPWZ9dRnUlENNObKvmlcGAYutlApJsgl2RNkEUZKV29L9uyS8\nWTLcaPHsQcj2smjNiYfm6e1yQlRZ5PK1AqMkEaYKkW3tc+zJdCapO2eLSI1PgNm2OjFOOfh5Iuqk\nOmXP0kW6rBHhOylOvcWzX4f4yerCMvnVIs38EuxOoC+eznqSbiSfZW0s0o202b+m7cvKM3EP7X1m\nsr9gn5C5+xqPmqrv4O5gTUnGP2AMjU37AE4Dqeudd1K2eDGLR42i/zvvUDJsWFJ5wzAY984ASg77\ngjePnEXNtGnUzJyJe8wYsm68EblLl8SN8wth1CVmqq6CHz6H7z+FhQvgtadNmaJmZrxOj77QvTd0\n2Z/aog6sX2/QrVuSn62smNNU0UvOk9DG9RrdOnl59/9qGHZoDfhqwF8D3mpQfaD6k6SAGSMUk1QW\nf6xR7dNo38viBV24uuVO1m3HIdjronmGEVHWMRAF3bRKWmx9/Dxev7F1B1bqGJoOPwbHo0XJaZFj\n1G386PEHyzZ6CcxtLRek/PXUi0Kh8lfUo1Fc4CPFAisr3VArcUlAghviyCfTIcTjx+oPpiN2SOTu\nkmB2gnYJ+6ojxWnXfb1Ec02CFQ3QlzTFAsjgIZuZ9CtoRub9GFrwc2YaWQHBgwakJjLxOkaT9R0k\nAwPxfwzi7AM4DSRBFOn72mssPvVUFh13HH1efZUWJ5+cUP7112tYutTPl1+2IHvIZLLGjqXmiSeo\nnTGD2qeewjFsGK4xY3CdeipCVpKJdk82DDvJTGAe/fDzd/DrQli2GF59wlyNBThlB7937ETzT7vC\njs7QugO0bAct2kKzVpBX2KDXtOpaiRrNg1LkgZJ6N09IsxfAjio484LG0wnwxGRYvAwWT2xcvQDj\nJkNlDcyb2kgKbeDL0HXcZ+s8ebHGmMOjQFGorEWVU6iz8R75TGfdDo0ZoxK0jXcdrasO2d/XaKzb\no9PpgAbo0AIQ8KYwHo0O1RqFXg0WxQPQiduFQGk96I5g4e1G+t7tFAV6DhMkduoS+bMk07O7t4At\nhXREQGKGT7I8h5lJRSocXqvh2OkBOdbDu1epjuecZk2QZXpaLkj/BA/OP2EMjU37AM5ekJyVxYB3\n32XJuefy06hR7Dd1Kh2vuy5mB2NVNbj99j0ce6ybIUPMaFSxsJDsSZPw3Hgj3rlzqX3+eSrOO4/K\nq67CcfzxuE4+GcexxyLm1bHqKb8IjjjRTEHauQ1W/c5vb/3O1y8u51JlHcx/Bzb/bXpQguR0QXFz\n0/tT1AyKSk19eYVmyi+C7DzIzgVPjpXnUl2VBQipBxmnSJoGchpeG/U0xplomnmYZ6NRcIoNEQ3w\nAYaTtO00/PtSWK4CDTuCLSV6Zx58tgYuvCB9fQA8vgieWQ4bxzSgsWEkAT+xwOjKRRqapvFU3wRt\nkqYkQCtOWl2l8fwWjVtba+QJDekvQVJ9CcdW4tfo59dg+172UY9VUIdiblOfFhKEpADoGFFkiSjg\nER02/l6ArDhT8MnSleIuDhLzQMxJINPIgC/O+IrFLXhEF4k8pPUBjP8U2gdw9pJEh4O+c+fyx4QJ\n/DF+PJvmzqX3U0+Rd9BBIZnZs6v480+Vl1+OdXcILhfuCy/EfeGFqGvW4J09G9/bb1N+1lkgSSiD\nB+MYNgzH4YejDBiAkAqqKG4Gxc347Lsh3FmlcvULLvMHqeuwYwts3QDbNplpxxbYtc1MK5ZC+W4z\nVZQlVH+QIFDV1Y3z6ixzO2N3FriywOUGhwscznBSHFZuu5Zlc2pMVsw/NMUsH7FFxqcp8K5iykiy\n+cYa/GOUE+RBuQhe+NpTLVGoS1BhkwvpFffqj1XTGxngROmG9OkP9pHuY38y0QdY0yoN/SoFwfod\npfZI3BR872hAPGZ9afUumLoMxg2EPGfd8o1Bs3bCQ7tg196ufEsGHKPS+7U+biyvZUm+Aw/1A4F7\nm9botXysV3Gd7kG0A1BNbQTQWLeuE3QveTqgp3C/0kRv1kc4GjDu+WcCnn0ApxFIkCR6TptGi1Gj\n+PWyy/i6f386jB1L54kTcZSU8PDDFYwc6aZv3+RPJ7ljR7LvuIPsO+5AW7cO38cf4//kE2pmzKD6\nrrtAkpB79ULp1w+5Tx/k3r2Re/ZM6OVZt86gfXuB0AGbomhOTTVrVfeH0jSoLIPKcqiqMPfmqaqA\n6kr+WFTB0zNrmXxRDfnOGvDWgLcWaqvB7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hxy9erp/mgWi5L79+Hu3ZJ790ru3Cm5fbvk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\n2+ScWxctwAuAAeudc5t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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axial = False\n", "\n", "# aquifer\n", "d1 = 5. # m, thickness of top confining layer\n", "c1 = 250. # d, vertical hydraulic resistance of top confining unit\n", "D1 = 20. # m, thickness of first aquifer\n", "k1 = 10. # m/d, hydralic conductivity of first aquifer\n", "d2 = 10. # m, thickness of second confining layer\n", "c2 = 500. # d, vertical hydraulic resistance of the second confining layer\n", "D2 = 30. # m, thickness of second aquifer\n", "k2 = 25. # m/d, hydraulic conductivity of the second aquifer\n", "\n", "# coordinates\n", "R = 10.0 # m, half width or radius of building pit\n", "RR = 2500 # m, extent of model\n", "\n", "z0 = 0 # m, ground surface elevation\n", "z = z0 - np.cumsum(np.array([0, d1, D1, d2, D2])) # one model layer per system layer\n", "z = np.arange(z[0], z[-1]-0.5, -0.5) # refined vertical grid\n", "y = np.array([-0.5, 0.5])\n", "x = np.hstack([0, R - np.logspace(-1, np.log10(R), 21), R-0.1, R + np.logspace(-1, np.log10(RR - R))])\n", "\n", "gr = mfgrid.Grid(x, y, z, axial)\n", "\n", "# specifying k for all layers (We do this sequentially)\n", "k = gr.const(d1/c1)\n", "k[0:1, :, :] = 0.5*d1/c1 # fixed head in center of top layer\n", "k[gr.ZM < z0-d1 ] = k1\n", "k[gr.ZM < z0-d1-D1 ] = d2/c2\n", "k[gr.ZM < z0-d1-D1-d2] = k2\n", "\n", "# sheet piling \n", "kp = 1e-7 # m/d, k sheet piling\n", "xpl = 9.9 # m, left of sheet piling\n", "xpr = 10.1 # m, right of sheet piling\n", "zpt = 0. # m, top of sheet piling\n", "zpb = -12. # m, bottom of sheet piling\n", "Ipiling= gr.inblock((xpl, xpr), None, (zpt, zpb))\n", "\n", "# well screens\n", "hWells = -5.0 # m, head in the wells\n", "xwl = 9.6 # m, left of well screens\n", "xwr = xpl # m, right of well screens\n", "zwt = -5. # m, top of well screens\n", "zwb = -10. # m, bottom of well screens\n", "Iwells = gr.inblock((xwl, xwr), None, (zwb, zwt))\n", "\n", "# required system arrays\n", "FQ = gr.const(0) # prescribed inflows\n", "FH = gr.const(0) # prescribed heads\n", "IBOUND = gr.const(1) # boundary array\n", "IBOUND[0, :, :] = -1 # top of model has prescibed heads\n", "\n", "# adaptation to piling and wells\n", "k[ Ipiling] = kp # set k sheet piling to its conductivity\n", "FH[Iwells] = hWells # head in wells to hWells\n", "IBOUND[Iwells] = -1 # mark Wells as fixed heads\n", "\n", "# run the fdm model\n", "Out = fdm_d.fdm3(gr, k, k, k, FQ, FH, IBOUND)\n", "\n", "# compute total extraction\n", "Qout = np.sum(Out.Q[Out.Q<0]) # total outflow\n", "Qin = np.sum(Out.Q[Out.Q>0]) # must match total inflow\n", "\n", "print('Total outflow = {0:.5g} {1}'.format(Qout,'m3/d' if axial else 'm2/d'))\n", "print('Total inflow = {0:.5g} {1}'.format(Qin, 'm3/d' if axial else 'm2/d'))\n", "\n", "# show the results\n", "plt.figure()\n", "plt.setp(plt.gca(), 'xlim',[0, 100])\n", "plt.ylabel('z [m]')\n", "if axial:\n", " dim = 'm3/d'\n", " plt.xlabel('r [m]')\n", " plt.title('Axisymmetric cross section throug building pit, Q={0:.4g} {1}'.format(Qout,dim))\n", "else:\n", " dim = 'm2/d'\n", " plt.xlabel('x [m]')\n", " plt.title('Flat vertical cross section through building pit, Q={0:.4g} {1}'.format(Qout,dim))\n", " \n", "# show head contours (50 contours)\n", "plt.contour(gr.xc, gr.zc, Out.Phi[:, 0, :], 50)\n", "\n", "# compute stream lines\n", "Psi = psi(Out.Qx)\n", "\n", "# show stream lines (30 stream lines)\n", "plt.contour(gr.Xp, gr.Zp, Psi, 30)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure shows only the results near the building pit (see xlim setting).\n", "\n", "The figure shows both the head contours and the stream lines, which, if the horizontal and vertical scales of the figure are the same, are perpendicular to each other because the aquifer material is isotropic, `kx=kz`.\n", "\n", "One can now immediately change from axially symmetric flow to flow in a flat cross section by changing the variabl `axial` above. This also leads to the correct total extraction and dimension in the title of the figure.\n", "\n", "The stream lines clearly show how the attracted water flows underneath the practically impervious sheet piling towards teh wells that are just inside it below the building pit. One can now readily verify the effect of the length and the permeability of the sheet piling on the discharge from the building pit required to maintain the target head below it.\n", "\n", "There is an unlimited number of variations possible.\n", "\n", "Notice the way that the total discharge was computed. Also notice how the locaton of the sheet piling and the wells were specified using the method `gr.inblock`, which allows to obtain a logical array with True where cell centers are inside the specified block." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A partially penetrating well, analytic verification\n", "\n", "The next example is a well with a screen that partially penetrates the aquifer. For this situation there exists an analytical solution, which allows us to verify out numerical code. The solution describes the deviation of the head caused by the paratial penetration of the screen relative to the head loss caused by a fully penetrating screen. The solution was published by Hantush and can be found in the book\n", "\n", " Kruseman, GP and De Ridder, NA (1994) Analysis and Evaluation of Pumping Test Data. Pudoc, Wageningen. Also available on the internet\n", "\n", "$$ \\Delta s_{pp} = \\frac Q {2 \\pi kD} \\times \\frac {2D} {\\pi d} \\sum_{n=1}^\\infty \n", "\\frac 1 n \n", "\\left[\n", "\\sin \\left( \\frac {n \\pi b} D \\right) -\n", "\\sin \\left( \\frac {n \\pi a} D \\right)\n", "\\right]\n", "\\cos \\left( \\frac {n\\pi z} D \\right)\n", "K_0 \\left( \\frac {n \\pi r} D \\right)\n", "$$\n", "\n", "Where:\n", "* `D` : [L], aquifer thickness\n", "* `d` : [L], screen length\n", "* `a` : [L], distance between bottom of screen and bottom of aquifer\n", "* `b` : [L], distance between top of screen and top of aquifer\n", "* `z` : [L], distance/elevattion above bottom of aquifer\n", "* `r` : [m], distance to center of well\n", "\n", "The figure below shows the layout, but notice that $z_1$ and $z_2$ in the figure are $a$ and $b$ respectively.\n", "\n", "![Partial Penetration](../docs/_figures/PartPenWells.png)\n", "\n", "\n", "The distances may also be taken relative to the top of the aquifer\n", " \n", "We just have to add this extra drawdown (both positive and negative) to the drawdown due to a fully penetrating screen. Because the influence by partial penetration does not reach beyond about 1.5 times the aquifer thickness (ingnoring strong vertical anisotropies), it is valid to do so not only for confind aquifers for which the solution mathematically hold,but also for both semi-confined aquifers and transient situations. For semi-confined aquifers, the leakage through confining units with the area influenced by partial penetration is usually negligible relative to the total. For this to be true, the aquifer thickness should be much smaller than the spreading length $ \\lambda = \\sqrt { kDc } >> D $. For transient situations, the change of elastic storage within the zone influenced by partial penetration is also generally negligible realtive to that from larger distances. This is true in unconfined aquifers, where elastic storage is orders of magnitude smaller than elastic storage. It is also true byond a very short time after the start of pumping, when ever more water is released from storage at larger distances than the zone influenced by partial penetration. The actual differences, may, of course, be studied by a detailed transient numerical model.\n", "\n", "Below we set-up an axially symmetric model with a patially penetrating screen in a confined aquifer and compare the influence of partial penetration with the analytical solution." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# The analytical solution\n", "\n", "def pp(gr, a, b, D, tol=1e-2):\n", " \"\"\"Returns pp, the extra drawdown factor due to partial penetration\n", " \n", " To compute the head difference between a fully and a partially penetrating\n", " well use dpp = Q/(2pikD) pp\n", " pp is computed according to Hantush (see e.g. Kruseman and De Ridder in their\n", " book on the evaluation of pumping test data, available for free online)\n", " \n", " Parameters:\n", " -----------\n", " `gr` : mfgrid.Grid object,\n", " See mfgrid module, gr holds FDM grid coordinates\n", " `a` : float\n", " elevation of screen bottom above bottom of aquifer\n", " `b` : float\n", " elevation of screen top above bottom of aquifer\n", " `D` : float\n", " thickness of the aquifer\n", " \n", " Returns:\n", " --------\n", " pp : ndarray, float\n", " the extra drawdown factor due to partial penetration according to\n", " Hantush (see Kruseman and De Ridder)\n", " pp only depends on the geometry of screen relative to the aquifer\n", "\n", " TO 181022\n", " \"\"\"\n", " from scipy.special import k0 # bessel function\n", " import mfexceptions as err\n", " \n", " d = b-a # screen length\n", " if d<=0:\n", " raise err.InputError(\"\",\"b (sreeen top) must be larger than a (screen bottom)\") \n", "\n", " Dpp = np.zeros(gr.shape)\n", "\n", " Nmax = 400 # max cycles in for loop\n", " crit = np.zeros(Nmax) # store criterion, as it fluctuates heavily between successive cycles\n", " \n", " for n in range(1, Nmax):\n", " dpp = (np.sin(n * np.pi * b/D) - np.sin(n * np.pi * a/D)) *\\\n", " np.cos(n * np.pi *gr.ZM/D) * k0(n * np.pi * gr.XM/D) / n\n", " Dpp += dpp\n", " n1 = max(n-10,0)\n", " crit[n] = np.max(np.abs(dpp).ravel())\n", " #print('{0:4} : {1:10g}'.format(n, np.max(np.abs(dpp).ravel())))\n", " if n>10 and np.sum(crit[n1:n]) a, gr.zm < b)\n", "\n", "# introduce the well by dividing the total flow uniformely across its screen\n", "FQ[Iscr, 0,0] = Q/d * gr.dz[Iscr]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running in axial mode, y-values are ignored.\n" ] } ], "source": [ "# running the model, computing the stream function\n", "Out = fdm_d.fdm3(gr, K, K, K, FQ, FH, IBOUND)\n", "Psi = psi(Out.Qx)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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FLzvt157WWo7Q+DvY5oeZANTUSLQ4qSpaH6X8nUx9DHrfBEl1AHjrrb+5884V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\nE6HnDG64bS/ffLOHTZvOLSZOcnODnHz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G/HRACZElGcoANdEFp6bDv9pAt7rQqQ60SVIf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eAlgUzS3PqrqC4J5iNcEs1HONtQIggm/D8fIp2xbx/rmzen/erVRHbrVtHL8cmnYssb4cSTe7ag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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.title('Confined aquifer with partially penetrating screen')\n", "plt.setp(plt.gca(), 'xlabel','r [m]', 'ylabel', 'elevation [m]', 'xlim', (gr.x[0], 200.))\n", "plt.contour(gr.xc, gr.zc, Out.Phi[:, 0, :], 25)\n", "plt.contour(gr.xp, gr.zp, Psi, 25)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below the same numerically computed contours are shown together with the analytically computed ones.\n", "As can be seen the difference is very small and can be attributed to small differences between the two methods, especially around the edges of the screen. The boundary conditions are the same,namely a fixed extraction per unit of screen length." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Partial penetration computed in 201 iteration\n" ] }, { "data": { "image/png": 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PPLp0iefZZ7szblwbUlIi/NL414Pw3ZvwxyxY8xv0HBTZ81WBlJLcXMnOnU52\n7nQFFCB79rh8Wjeio6F1aytt2tjo2NHGKadE06qVlfR0X4GRlmYhMVGv8KvRHMLpQHoGxEYFGDiv\nOerQ4kQDQGmpi2nTdjJ58lZ27Chl+PB0vvvuRM4+u9nh+6ee3ASufBhevxOm3gj/W1GjNXdqw8GD\nLtatc7JunYN165xs3uxg504XO3e6KCrydnna7Up4KPFhZeDAaNq08frbtLHStKlFCw6NpjZUVHgb\nA7Q40aDFyVFPcbGTV1/dweTJWzh4sIJLL23FN990plevpPop0D8mwmfPwZaVanrxaReFJdu8PDdr\n1zpYvdrBmjVqW7fOSVaWGnFutUKXLja6drVxxhkxtG1rpV07K23b2mjb1kqzZhbdnaLRRIqKCg6p\nEz2VWIMWJ0ctFRVuXn31b554YjM5OQ6uuqoNd93VmU6d4uu3YFHRMPFFePgitTDgoPNVWIiUlUnW\nr1fiQwkRJ6tXO9i9W81ltVqha1cbPXrYGTo0hu7dbXTvbqdLFxtRUVp8aDSHG2mMyhQAFoteW0cD\naHFy1CGl5Ouv93HHHevZtq2YK69swwMPHEP79nH1XTQvp/4DjukPm5bBjCkw9u6AyVwuyapVDhYt\nqmDx4nJWrnSwYYPzkE2Ndu2s9Opl5/LL4+jZ006vXja6drUTHa1FiEbTYCgvN3akGril0aDFyVHF\nmjUF3HTTGhYsyOass9L56qsT6NEjsb6LVRkhYNIbcF1/mP4InHMNpKRTXi5ZsqSChQvL+eWXcn7/\nvYLCQondDv37RzFkSDQ33ZRAr152eva0k5QU5hlFGo0m/BjiREotTjRetDg5CigqcvLII5uYMmUb\nnTrFMWvWiYwYkVHfxaqaY/rhPHUM7gUzePair5jtuIDFiysoL4ekJMHgwdHcc08igwdHc/zxUcTG\n6taQIxmzQarg5uoPn1/KyhZkfU3BhxZWm/RH3JhrT8uJlDXqwtUc2WhxcoTz/ff7mTBhFQcPVvDY\nY1257baOREc3zD7digrVMjJvXjnz5pWxbekk1vadSeqOhaS2H8ZTT6UzZEg0ffrYsVqPtDd0w0FK\nKCmBwkLTVgTFxWrcomdzOEx+h29cwC1AmlDzaIjm7+uTmggbqzX4ZrOBtZo0Pmn9w4McGzBtoM0C\nyUXljAVmbezC3rLWxLwdOB/PfiW3uvgQ3CNO8B0BaHFyhJKTU8HNN6/h/ff3MHx4Oq+91psOHRrQ\nuBKD7GzTEfECAAAgAElEQVQXM2eW8eWXpcydW05JiSQlRXDaadHc8eQxFJfdyYTvHuL6Y/6GWxbV\nd3EbJFKqP58+YsIQFCH7i6DI8BcVqZaCUBBCtcRHRQXY7JXD7EZYfHzg+GB52O2+H93gZuur3q+x\nn+DxvubhDdfU0lIpzh24Bcg/PtAxNY438veYSQ9lczr9wtyV03iEYpXHBTk22HHtnWWMBaYuHcLP\n7tPhukj+WoLX4xqLmtqIIkvl8KpEnY/fEkKa6vINMY9Q0kQaLU6OQGbPPsDVV6+kpMTF9Ol9GTeu\ndYOyv5GZ6eLLL0v54otSFi4sx+2Gk0+O4qGHkhg2LJq+fU0tI+V3wm+vwJpfYfEsGHBO/Rb+MCAl\n5OXB/v1wIAsOHPDbP6DcA1mQnQ0FBepFXxVxcZCYaGwJ3v2MDOjcCRISAscnJHj98fGVhYieWKGp\nK+415ZQPgB8vfg256Raifl8VUPh49kN2gxxXl2NDct2+/tLSwOl8RJ27ctmqEn+esPok0l8ULU6O\nIMrLXdx553peeGE7w4enM21aH1q1iq3vYgGwd6+LGTNK+eSTEn79tQKbDU4/PZqXX05h1KhYMjKC\nfOWiY+Dml9TU4mfGw4fbGmW/tNuthMT+/Upc7N/vt29yDxygksl7ux2aNYNm6crt1BEGDoAmTSAp\n0SQs/MSFR2BoEaFpsJSXKdflgpiYQy1k2txJ9XjWxqmJoAnqD6E1zezfvg0efzxy16bFyRHCpk1F\nXHLJMtatK+L553tw000d6r21JCvLK0h+/lkJkuHDY5g+PZXzz48lNTXE2TSn/gOOPQE2/AkfPw3j\nHohswWuB0wm7dsHWbbB1q3K3bYdt22DvPsjKqvxPJy5OtVxkNFPu8f19/c2aqf1mzSAlRfeLa45M\nZJlHnDgR0ZFdr+VIoz6F3PLlWpxoquGzzzK55pqVtGwZzZIlg+nTJ7neylJaKvn88xI++KCEn35S\no/DPOCOat95KZdSoGggSM0LAndPgmt7w7mNw9lXQrHWYS149paWwfbsSHlu2GELE2LZv93atWK3Q\nrp1q3TjheGjZ0is4DrkZqkVDoznqKStVrtMFsQ2jpVdT/2hx0ohxONzcddd6pkzZxiWXtOR//+tD\nYmL9PNItW5y89loRb79dQk6Om8GDo3jxxRT++c9Y0tPD0KfQsSecfwN8/Ypad+eJmXXPMwDFxarl\nY8tW2LxFiZAthn/3bm+62Fjo2FGN1xh5rhIinTsrt21b3SSt0YRMqRIn0lGB0OJEY6DFSSPl4MFy\nLrpoGYsW5dRbN47LJZk1q4yXXy5i9uxy0tIsXHVVHNdfn0DnzhGoWtc9CXM+gN++gZU/Q58hdcru\nwAFYthyWr4AVfyl3+3ZvfFISdOmsRMeggUqIdOqk3BYtdDeLRhMOZEmJ2ikvR6Sm1W9hNA0GLU4a\nIWvWFDBy5BKKi13MmzeQU05pcljPn5fn5u23i3nppSK2bXNxwgl2pk9P5eKL4yJrDC0+CW6aCk9d\npbb3Nqr5bSGwb58SIh4xsmy5tyUkORn6HQejR0HvXkqQdOmiBptqAaLRRBhPt46jQnfraA6hxUkj\nY9as/VxyyTI6dYpnwYJBtGt3+GyXbNrk4Pnni3jnnRIqKiSXXBLHRx8lcOKJh3GJ8+Hj4NMpsG0V\nfPM6XPh/lZJ4WkSWLvNumZkqLjUV+veDy8YoQdK/n+qe0SJEo6knSktVP2hZGcRocaJRaHHSiHj1\n1b/5979Xc955GXzwQT8SEg7P4/v113L++99Cvv22jKZNLdx+ewLXX59Aixb1MD/VYoG7psGE4+H1\nO3GeNpY/N6Sy8Bf4c6kSIjt3qqSpqWoGzLjLlQjp3w/at9dCRKNpSMiyUjV1rbQUEdfwDEVq6gct\nThoBUkruu28DTz65hYkTO/Dccz0Oi/n2RYvKefjhAubOLadnTxtvvpnK2LFxxMTU39ddSljv6o+7\n9Tja7fiCXh2K2VGcSmKiEiKXXKTc4/tDhw5aiNQVtxuKSqCgWLkVDqhwGq7/5hdeXhF6WnN4eUXg\ndIfWtTHK5vF79g+FBYk/tE+Q44LEV0pr5C/wWt20WLzWNy0iQHgoaao7tgZ5evw2w7KnzQp2wz20\nX0V4pTDPvr1yeFV5Wa0h/AZLSiAuHkpLIFaLE41Ci5MGjsPhZvz4lbzzzm6eeaY7t9/eKeLn/O23\nch58UImS3r3tfP55E0aNisFiqZ8vfWYmzJkLP82BufNh715oFTeZDX2+5LPOo3E9OIPjz2kb6vCT\nIx4p1Qe+oBgKi5VbUAwFRd59n3BTXGGJ735hce3KEGX322zVhyUlKDc6QDq7TX2IwXfxO4+J+YDh\nnn2ChNfxWLdbWfb0uB5Ln2a/WwYO9/GHeEx5RQjp/OKcRrzDsEjqdBn7Lu9+pC2NWv2FjJ8Qun1b\nMWfkx/LP5l9iX9iUqC2BhZLd5rv5hx3y20NIEyzMHvpxIQkvTa3Rr/MGTEmJk4svXsaPP2bxwQfH\nMXZsZG17LFtWwYMPFjBrVhk9e9rqTZQUF8PCn5UY+WkurF2rwo/rC5ePhTOGweCTmxH3+V2c8Nb9\nMP8qOH/uYS3j4UJKyC+CfQdhX7axmfazcpWYKCzxFRqOKszZW62QGAdJ8UoQJMUrf1oytG9phJvi\nPFt8LERHeUVDJRFhCAm9kFrjQkqvcKkkXhyVw6sSOk7DiqgjWHyA8G5flWArjWdg6a+4mw3G3bGF\nz/Ge48rKTX5TXLAwsz9SAsxWE+ETIMy/lcpHwAWLC9aqFSyumnyqazmrL+vSWpw0UPLzHYwcuYRl\ny/L59tsTGT68WcTOtX69gwceKODzz0vp2tXGRx+lcfHFsYdNlEgJq1fDd9/Djz/Br7+pl2KbNnDm\nMLj/Hhh2OqSn+x14yST4/HlYMS8sU4sPJ2XlsD87sODYlw17s7z75RW+x8bGQIum0LwJNE2BDq0M\ngRHvKyYOCQ+/8NgYLR40XoQwWgzqyTZPxbpi3DKOqUtuwH72W9jG9Qz7OdxuX+EUqqgxi6Nq0/jn\nE8K5yiuguNRX0AUSe9UJwUgiRGBB465lq2qoaHHSAMnKKufss/9g27YS5s4dyIABqRE5z44dTh56\nqID33iuhTRsr06alcsUVcdhskf9ySQlr1sBnn8OnM2DjRmUxdehp8NxkOPMMOOaYaj6iUdEw8QV4\ndAw8OwHeWdcgvrolpbB1N2zeqdy9BysLkNwC32MsFshIg+aG6OjeEU4/QflbNFVxLdJVXEJcg7hM\njSY8FBUhYmLVWJ64+IicwmKBKItq3TsScfmLmiBCJtTWrFBax3Zugzd+j9w1aXFS3XKuh5l9+8oY\nNux3srMdLFw4iN69k8J+juJiN//9byGTJxeSnGzh+edTGD8+nujoyH/x1q1TYuTTGbB+vbIxMup8\nJUjOGKZWuq0RQy+B6Y/Azg0w/zM4/eKIlNsfswDZsgs27zLcnbDngDddQhy0bgYZTZTI6HOMV4A0\nb+IVH02S9eJ8mqMTWVJ86Icv4iMjTo50rEb3y+FcEnX5cnjjycjlr8XJ1JOgGYAAYQFbFNhjITYF\nEjKgSQdo0RM6nAztTgJ75B7/nj2lnH767xQVuVi4cBBdu4Z38RUpJR9/XModd+Rz8KCLSZMSufvu\nRBISarHeTQ3YuBE++UwJkrVrleXVUefD5KdUC0mNBYkZIeC21+CW0+DlW2DI6JANs1VHaZlXgJhF\niL8ASYyHLm2gS1s4uY9yOxv+9FTdyqHRVElRkZr3DxFrOdE0PrQ46TESWsVCeSGU5UNpHpTmQ1EW\n5O6AHX7tVrYYSGoOLXvDMWdAvzGQ0LTOxdi9u5ShQ3+nosLNzz8PolOn8P5IV6yoYOLEPBYtqmD0\n6FieeSaZDh0i9/i3blVi5JNPYeUq1WVzwUh44jE4azhEh1Pj9T0Vep4Ma36FH96G88bX6PCSUli5\nCZath9VbDDGyC3bv96ZJiFNio0sbJUA84kMLEI2mbsjiIkS6GlOnW040HrQ4GfEw9OsXPL6iFP5e\nDDsWw65lsH8d5O2CNTPV9sVEiIqH5j2g1ygYeC0k+I/crJqdO0sYOvR3XC7JwoWDaN8+fHP9s7Nd\n3H9/Aa+/Xky3bjbmzGnKsGGRWZa8sBA++hjenKYMosXFwXnnwoP3w4izI2yZ+uaXYPxx8MbdcNa/\nwB64OaaoBP7aqITI8g3KXb9dDZiz29RYj2PawcDevgKkWZoWIBpNRCgu8o7GTUis37JoGgxanFRH\nVCwcM1RtZirKYO1MWPUF/P077FoKO5fAd/dCXBocMwyGToJ2J1aZ/c6dJZx2mmqdWbAgfMLE5ZK8\n/noxDzxQgNMpmTIlmRtvTMBuD/8XdtkyeONN+PBjZU9pxNnwyYdw7jlw2P4IdekLJ5wFf86G796E\nUTdSUAQrNsLy9V4xsuFvNRg3OkqN/zjlOLhlLPQ7Fnp2PnIHzGk0DRVZWIjFM+AqIbxd2ZrGixYn\ntSUqBo67WG2ghkuv+w7+fAe2LIC/PlNbVDx0HQ7n/AdadPfJYteuUpMwGUjbtuERJitXVjB+fC5L\nlzq46qo4nnwymWbNwjva0tNK8vr/1EJ6rVvDbbfANVdB27ZhPVVI5BbAxiHPcdKfPXnruTU8/bZk\n8y4lxGJjoO8xavbLpCugf3fo3qH+pk5qNBoTRYVqvB8gdMuJxkCLk3BhtUKv89UGkL0d5k2GVV/C\namNLzIATxsHZj7AnC04//XeklCxYMCgswqS0VPLoowVMnlzIscfa+O23dAYMCO8A3qVLva0kpaVw\nzgh45CE4+6ywjUMNidwC+Hk5zPsT5v+pxopAdz6Nv4hzxZesbTme48YfR79j4dj2h7dsjRmXGwpL\nobDMtBn+EsMcvcNlbOZ90+b0DwuSrso4U7jT7WvLoSoLrpXC/OIDWoStLt8g57BZwWbxde3WKsL9\nwoKGWwybEoHCq8o/SHiUzetG2SDKsFMRZYRZIjsevkqk260GxHoegm450Rg0ile2EMICPAJcBjQH\nMoHpUsr/+KV7FLgWSAF+BW6QUm45zMVVNOkAF72itv0b4PsHYe13MG8yznlTmf7XZdgd5/Hj/BFh\nWVl47twyJkzIZdcuFw8/nMSddyYSFRWeLpyCAvjgQ/jfW7DiL9VKcsftcPWVylDa4aCgCH5ZAfOX\nKjGyYqPqnmnfEoYeD5PGwYk9oIvrAazX9mLK3rNhROYRPz/X6fIKiKLywPuFZVBkEhvB9gvLoLSi\n+nMKoT52dtNH0e6/2QKEmT6W8dGhH+PJX4gq1sCB6tfXqUt6/zQoIec0xJPTJMyc7spuSYVfmP9x\nAY4JlKfbU4gwYrX4iRePmPELCyRs/ON8jg8Q7p9PbFkRJwMbS1PIaz6YpExb4PTGMTZtMv6ooVGI\nE+BuYAIwDlgHHA9MF0LkSSlfAhBC3AX820jzN/AfYLYQopuUMoRXbgTJOBau/BSkJGfeByx+5RXu\n7P0ed/d5B+sn3WH0i5XHtIRIdraLSZPymT69hCFDovjuu6Z07Rqe/oo9e+D5F1XXTXGxGkPy6MNq\nTEmkv/lFJfDrX4YYWarGjLhc0DJdiZH/uxiGnqCso/rSE/qcCisXwsLP4PRLI1vQMCOlEgwHCmB/\ngeHmq30f19gvKK06P5sVEmPUlhDju980sXJ4Ygwkxgb2x0erj4S1Hv9pH+141tAJKGz8xI25BarC\n2K9wGYspesKdAfxVpDHHFZR6/ZXS+aX1pPGnVUkBm4E79p/F7EHPw/3V34OqRE90ELEULCy6mnj/\nsErpg+ShRVTdEVJGQIqHGSHEN8A+KeV4U9gMoERKOc7wZwKTpZRTDH8SsB/4l5Ty0wB59gOWLVu2\njH5VzdYJI9nZFQwd+htZWRUs+rwpnVbcAZvnAxKadIIxb0HnU0PKS0rJhx+WcssteTgcksmTk7nm\nmviwmJz/6y94dgp8/KmacXP9dXDT/6kWk0hRXAqLVsCCZbBgKSxdr+zjZTRRYmTo8UqMdG4Two9+\n7WL4v4HQshN8sLne3xJuN2QXVRYcwfz+rRcWAelJkJEEGcm+rkdgeEREQrRXTCREq/Vv9EtS0xCQ\nsrKIca9fR+qZPdh14Y3kbd6F+HCmT3x5NQIpUFi5f1ygY6rJw+Wu27UKEYKwMbVCVXKrijO1bAWN\n83erijO1WFotob8vli9fTv/+/QH6SymX1+2OVaaxtJz8BowXQnSRUm4WQvQBTgZuBRBCdEB198z1\nHCClLBBC/AEMBCqJk8NNbm4FZ575O/v2lbNgwSA6dU+EQXOhOBs+Hg9rvoaXToNWfeGKD6F5t6B5\n7dvn4vrrc/n66zIuuSSWqVNTaN68bk0ZbjfM/lGJkrnz1KDWp5+Ea65WRtMiwf5s+PYXmLkQflys\n1pvJaAKn9Yd/jYRT+8GxHWrxce0xADr0gO1rYdUvEV9zR0olLrYegG1ZsO2A2jz+AwWVX3YxdiUw\nmhmio2drw59oCA9TXJOE+h0XoNGEg0MfbNNXx20toBxo5z5AW3smMR3rrXg+eFZyrnBBuSOAAHJU\nLYiq9JvydJhanhwu1Q3rHxYonX9YuPB02QYSLv5hFQeqz68uNBZx8hSQBGwQQrgAC3CflPJjI745\nqht4v99x+424eqWgwMFZZ/3Bjh2lzJ8/iO7dTSPS45vANV9AwT5473LYPBee6g7dz4ErPoJYrzLw\ntJbcdFMudrvgiy+acOGFdTMeUloK738AU15Q5uRPOB4+/gD+ET5Dq4eQEjZsh5k/w9cLYPFq9WMY\n2BseuwHOHVxLMRKIqx+DB0bD2w/C1AV1zq60Av7OMomPLEN8GPvm1o7mydCxGXRIh9O7Q8tUJTKa\nJXlFR6JefE+jQRbkq52KMkRScv0WxoTVAtYoiAGIpH2mMCClElOhiJiQwwwRFTDMcPdVwIoIXldj\nESeXAGOBS1FjTvoCzwshMqWU79VryaqhsNDJOef8waZNRcybNzD4WjlJzeH/5sD+9TD9Elg3C+5P\nh3Meg2F3kpmpWku++aaMMWNieeGFFJo2rX1rSU6OGk/y8qtqf9QF8MYrcPLJ4f1oOhxqIOs3P6tt\n626Ii4GzBsK0h+DcU5SF1bAz6HxIbgp/LYR9O6B5u2oPySqA9ZleAbI9S23bsmBvnjddtB06NFUC\nZGg3uPZUte8RJPGHc4ELjaYRI/OVOJFlDUucNCY8qwbbDvPY/+XL4bsnIpd/YxEnTwNPSik/M/xr\nhRDtgXuA94B9qMloGfi2nmRQjbi79dZbSU72/VGMGTOGMWPG1LnQRUVOzj33D1avLuSnnwbQr19K\n9QdldIO7VikbKR9fi5x5F2tnfMvwT9/CbY/nyy+bMGpU7aV8VhZMfQFefFmN6bj2arj5JujUqdZZ\nViI7D77/VXXZ/PAb5Bepgawjh8Dzdyh7I7GRMVLrxWqFi26DN++FT5+Dic8fiqpwwsa9sGqX2lbu\nVNu+fO/hLVO9AmRYD+iYroRHx2bQMkV3s2g0YSE/T31di4sQrSI4qE1TJz766CM++ugjn7D8/Pwg\nqcNDYxEncYB/z5ob1b2DlHK7EGIfMAxYBYcGxJ4EvFxVxlOmTInIgNjiYifnnbeEFSvy+fHHAZx4\nYg2bB/pexJ60kXx/y71c1vIVVvxjEDEjJpE86q5alSczE555Ts28EQJumACTboOMjFplV4miEvhq\nPnz4gxo/4nJB/25w62VKlBx37OHvxpAjJ8C0B9nywzy+7uBkVaaNVbtg3R5vP23bJtC7DVxzKvRp\nCz1bQft0iK3LYoQajSYkZEG+GtRWUAC65aTBEugPu2lAbERoLOLkG+B+IcRuYC3QDzUY9k1TmqlG\nmi2oqcSPAbuBrw9vUZUwGTlyCUuX5jF79gAGDkyr0fFSSt5/v4SJE/OIjZ1El8kXc+rac2Hh3bD9\nc7hhLsSGZklxyxZ4+hl45z0182bSbTDx39CkSW2uzJeyctVC8vFs+OYXtYrv4L7wwh1w4VBoUbMl\nhupEYSms2a221Z5tVxqTYy/n1LKFPPKFm57t4aROMP40JUh6tYYUvc6YRlN/5OUhUlKR+crVaDw0\nFnHyb5TYeBlohjLC9qoRBoCU8mkhRBzwOsoI2y/AiGptnMw6HjbYwBILUckQ2wpSekLzYdD6fLDX\nzECap8Vk6dI8fvjhJE4+uWbCJDPTxQ035DJzZhmXXRbHCy+kkJbWEpx74a1RsP57eKgFXDcLOgef\nhbJ6NTz+FHw2A9LTlX2S66+D5Dr+OalwwJw/4NOf4Mv5yjha367w0HVwyXBlFC3SSAlb9sNvm+G3\nLfDrJliXqcItAo5prma/TBwOHZ3j6fjSdPKjTsHy0B+RL5wG8DVU5jIG7LmlsV+d3zjG7RdnEWqz\nWsDq2Q8SZrX47eOXxojX1C8yLxeSU2DzRkRdX06aI4pGIU6klMXAbcZWVbqHgYdrlHlaP0iRUJ4D\nFblQmgnZi2Gr0ShjT4aU3tD+Uuh0NdiCD5YoLHRy3nl/sHx5Pt9/fxKDB4fePCGlZPr0Em69NY/o\n6AAzcWxRMGEW/P4mfHY9vHQqDH8AznnUJ5916+CR/8Cnn0H79vDS83Dlv+q2IrDDAXOXeAVJXqFa\nuffWsUqQdIvw9L/icli6XYmR37eo7WChiuveCk7uApPOgT5toFtLiDF3yciB8EEGlo1LIHsvNGkR\n2cI2ANwSSh1Q4oQSBxQ7lFvihOIKb3glvydtEH+p0yQ2POIhiD8SlkwjQUAxE4rgEV77EVEWwzVv\n/mGhpKlDmL0G9ikaFHm5iKRkZGkp6JYTjYlGIU4iyoA3wH/MScke2PU1ZH4P2UshaxFk/QJ//huS\nukKXCdD1JrB4h0fn5lZw7rlLWLOmkNmzBzBoUOgtJnv2uLjuulxmzSpj3Lg4pkxJIS0tyIjLgdfC\nMafD1EHw42NqJeTrvmPteiv/eRI++VSZlH/jVfjXOIiqw9iJtVvh7Znw/ixlk6RLW2WZ9eIzoVeX\nyLwM3W7YtA/+2Kq2xVvVoFWXW02/PakT3DgMBnZW+6nVdcsIASOvg3cfgx+mw2X3hL/QYcYtIa8M\nDpZCtrEF288r9woHj+Aoc1Z/DlAf2jg7xNshzqb2zf6kaGieoPbj7RBj836kA32sA33M/T/01R5n\nCS4QzC0xHiHkDhAWqNUlmIAK1GoTSnqXBIfbsHVh3tzq/hf4hfmnMfvLw2Snwm4IlmirrxtjU/uh\nuDFWZSysJq5/PlE1sI4q83IhXq2no7t1NGYahYXYSFAjC7GuCtj+Pmz5nxIr0gnCBs1PhxNfJqus\nDcOHL2bXrlK+/34AJ5wQwqwcVGvJ22+XcNttecTFCd54I5XzzguxicNRDi8Phb9/Z8buK7no62m0\nbSu45064+qrai5KcfPjkRyVK/lwLTVLg8hHKKFrfruEXJE6XahWZuw5+2agESV6JiuvWEgZ0UiJk\nYGfo0bqWptP374RL2qnpxB//Hc7iV0uZU4mInDLD9QiLsuDCI7cscMtDYhQ0iYWmscptEgsp0YaY\nsEOszevG2wMLjzgbxEcptyYfEU3kkIboCSR0Qg0rdyqxVO6qLHzKXaoeetwyl0pfpWukddbSUmqo\nIuipR09iT4uufJh6KnEjRhDbumWdxVFtRJKm5mgLsQ0BaxR0vlptbjdsegU2TIW9P+L+6hhm/X4W\n7qLLWLDgfHr2DM2c6tatTiZMyGXu3HLGjYtj6tQUUlND//IuWxXNg/N+o/u+yUwedCfrr1lPx//+\nSFRyzc25Vjhg1iJ47ztli8TlhhGDYMZkNdMmKjxL9QCGIbZMmLNWbQs2qDU6EmNgSFe4fYQSJCd0\nhOS6r4eoyGgL7brBjvWwbTV07BWWbF1u2FcMOwtgV4HhFirXs59VUvk4AaTGeAVG01jokgoDWvoK\nD/N+k1j1stUceQgBNqFWEo4L428tHLjclcVNqG6lsAAiKLYoh/32VDY27UZFSSpl232PKTWsq7pq\n+R+62taiUFuU6tDq1Gi73OoZ3XKydAn9+p9QqzzWLV7O7Fee4urB35EYW4ql6Qkw+CNIDD4Iw+mU\nTJ1axIMPFpCRYeH111MZPjx0ox8rVsCjj8NXX0PXrvDAvXBp/L1Y5z8Jic3h3o0+VmWDISX8sRre\n+VaNJcnJV9N9rzgHxpwNzZuGXKRqz7P1ACxYD/ONbW+e6q8f1AXO6AHDuisxElEjQp+/CC9OhHPH\nwx1vVJvc5Yb9xbC7UG27Ck37BcrdU+T7zzIhCtomQtskaJOk3NaJ0CxOiYs0Q5AkR+vF8zQagNI2\naVhHjMT14bvEbN6DaBF4RL3TaB2qUeuPn1srgeV3fG3GUgmCt/JE29T4IbPr3y0XyA0pja3qNHUV\nTbrlJNJsPVGZ/LSmQUx3SBoNKdeAterulblzsxg9ej8dO/4flz70FMlbr4QDv8DXnaHDFTBwms+Y\nFIAVKyq49tpcVqxwMHFiAo8/nkR8fGhfqWXL4LEn4OuZymDa9LfgsrEeE/NPqFWdfnwM/tMJ7tkA\nCYEH4+YWwIffw+ufw+ot0KY5XDsKrjgXenYOqSjVsj0L5q9TrSLz18PuHDVmoH8HuHyQEiODux5m\nS6pnjIWXb4U578PNL0JUNOVO2JoHG3NgQzZsyIEtuUp4ZPoJjxibEhptEqFjCgxp4xUgbZNUeHK0\n/oek0YSKdLkgL8+7xHlq8HF6NouaE1DfM/89Iqm2IiiQ8PF0y3nc4gpv95ynW64iiFvXgechixxL\nZbdge3juaTC0OIkbDNGF4NwFxfPVtnciRPeE9Psg5ZJKh7z00nZuuWUtw4Y1ZcaM40lMtEGnnyF3\nJSwcDdvfhd1fwZAZ0OJM8vPd3H9/Pq+8UkyPHnZ+/z2dk04K7cv8yyJ47HH4aQ506QLvTIOxYwKs\ne3POo2CLhln3wxNd4J6NkKgMjbjdMP9PmDYTvpin1kY4fwhMvgXOHFB3a6cOJ/y6Gb79C777Czbs\nVZ8JQTkAACAASURBVB/p49rBJScpE++DjwljN00NkBL2FsHGvCa07TqCuG1LuXZaDhtFC7bne3/c\nydHQrYnqXhnaVgmR1olKgLROVK0eWnhoNGEkL8+Ycy4hPh4RE2mz0XWnoYgkD55ut0rCJYDoqTC1\nPgUTO9UJouIKbz65WZG9tqNenDhaXo3scjkCO7jKIf9DyHkVypbB7kshcwKkPwDpt1Na6uLWW9fy\n+us7uOWWDkye3B2bzfRlT+0Do7bC+imw/C7k3OH8ln8HFz1+C4WFksmTk7nppgTs9uq/cj//okTJ\nnLnQu1eIi/ENv09NdZ45CZ7qwZYrt/LenETe/Q7+zoSu7eGRCTDuvLp32+zOgdmr4YdV8NNayC9R\nC96d0wce/ycM7R7CTJowklMKm3Jgc67vtikHCg1LN+fF38A35efS6e95dBt+GV3ToGsT6Jqmul60\n+NBoDh8yJ1vtOJ2ItDBYhTwKsVogrp7GKi1fDv0fiVz+R/2Yk9nLEujdz4aVdsRxPXFMQCDAVQpZ\nD0H2yyBLKK5owZi7H+enX5rx4os9ufbaqheSW/XHLg7MvJozus1h9voR9Lh6Oq07NavyGClh9o/w\n+JOw6FclSh64D0ZfGHrrRnkFrHjtOU7cOolnd9/Ofw48zUVnCq6+QK3+W9sPcGkFLNrkFSRr96iu\nmpM6wdm94dw+qqUk0mvOSAk7CuCv/bBiP6w4oNzdhd40LRJUC0iXVCU8PFvHBAf2UWlQXgJfZ0Ni\naLOqNBpN+HH98TsVwwZhufBi5LbNxPwa9mELmgiix5xEmCza4yAG+JtC7qaIJ0jiWWKtF0Hzp3E3\nfZIfPryX7s3f5tMnJ5DjOIuWJ34RNL89e1zcf38+77wj6NbtXT7rPpmzuk2BJe0g4UfIOKXSMS6X\nMpr21NOwajWcdCLM/BLOOzd0MbF6M7z1Fbz/PWTn3cYL/cq5o8293Dx4KVG3zKuVKtmXBzNXwFfL\n1NiRModaEO/sXvDgKDWYNS2hxtmGTIkD1mTBygOw0nBXHYACoyUkPQ76ZcDlPaBvMyVAOqeqgamB\nscMpo+HHd2HRVzDiysgVXqPRVM1B1S8gS0sQTcI0Al9zxHDUi5McotmCnSgGcCzdcTCdfMZTwjR2\nrXyHW2/ZwoIFg5n47wuYfOOttHR9CxtbQMdFEH3soXxyc908+2whU6YUERcnePHFFK67Lh67/TnY\nMQgWjYGfToNTv4A2FwBQWgrvvQ/PTIHNm+Hss2Dqc3DaqaFpiYO5yibJO98qmyTN0uCqkXD1BdCt\n4z3w8hyiNs+DmXfBBU9Xm5+Uam2ab/+Cb1YoA2gWoab4Pv5POLOnMgsf7u4PKdVsmOX7YM1BWG0I\nkc25XrPlx6RCn2ZwTkfo3UyJkZYJtSjLiKuUOPn2f41enEhp2L3wuG4od/uGHfIHCqvhcQ7TAGHz\nfRf+bhVxgdJVFWcOsws1w8Au1IA8j//Qvic8UBr/Y0NJY/i1mfvIIA1xQmFB0Fk6mqOXo16cbJft\nSMZKG/awil/pw5fk5DxNXMpCNuwbTW7eXcyZM4Bhw9KBP+DAf+HAPbC5J7T5ggJxHlOnFvHcc4VU\nVMDEiQncc08iycmm/o12/4TEzvDDAFh4ITnd3+f5b8byymuQnQ0XjoKP3oNQFnh0u2HhMnjjCzW4\n1S2VTZIvn4VzB4Pd3Pd4/Q/wSHuYPxmOPRO6nlkpv9IK1Sry7Qr4biXszFazaM7sCW9fC+f1hSah\nrTEYMiUOWLYPFmeq7fdMNWgVlP2PXulwZnuYdKISJD2ahrFPtfcpEJsA6xdDSSHEhfniQkBKKHVD\noRMKjC3f4d0vcEJ+iHHOOvbKej7E0cZHPsrwBwqzCSUazD3B0t+tIi5QuqrizGFu1EwJh8cyq+E6\nPMLJLzycndVWEVgYxViM6aEWiDVcc1hI4X7xsf77hmse2nakILMPQkoK5OZArz71XRxNA+OoFyd7\nRGvaUE6pI5W25ZuYk/cINxx/FacMGcgL70/m+2XX0dQyHzCW2G12FyScjmPzaZRtGMvIiR/zx8q+\n3HBDAnffnUhGRhBjHWl9Wd1+PcnLhhG/5CbmzejI2EsHMPHfampwdWzZqYykmQe3PnkTXH6OajEJ\niNUOt/yuphe/dSE8ug9iEsgqUN01XyyFeetUd02HdLignxIjpx6rZleHgwqXagn5c6/alu6DtQeV\nUaU4O5zYAv7VUxkgO6G5Gi8S0YGpViucdA4s+BT+/BFO/UedsnO64aAD9pcbW4VyD5hcj7jwiJFC\nV9VGpaItkGSDZJtyk2yQbIf2cZXD460q/SEhYRIU1YXZxZE7CNhlau1xSJOIqULQ1CSNp0Wp1AVl\nbmMKqVttORXK/X/2zjtOkrLO/++nqnNPT467MxtmI+wSFnaJi6AgKiAgosjdiQEwK3pyeCi/M4B6\nZ7g7xRwROVFP71CihENyWFzisnl2Z3dmdnLqHKqe3x9PVXd1T0/cmY39mdfzemKFqenp51PfGHeM\nOdfEDUW2pgNd5JMafxECMx65CVht/2Rtq2+39bn+bPT3IWrrkFZdQglOHPXkpN+spS2qszTYzg9v\nfjMf/NQj/HTjrzmv8rd4PMcwzPsZ4E3U8RKarOPpp1P8+MdLePD+Z7j71qu4//vvIhL6IfUr3l/0\n/Mkk/O9d8IMfwRNPLmb10g088MlTeeyGM9DOvA1arxr33kbC8N8Pw213w1MvQSio8tq87yJYv2aK\nG0v1Arj8+/D7D/PQ12/gq94f8MRW9WZ51nK45XJ42/EqVPz+blRSqrghT3XAhm5FRl7uVW5ouoDV\ndYqMfPwkWNekJCQH5Y3wzX+vyMnD/zWGnEipSERvCvpSjtoiGr0OAtKTgoHU2Lf0Mh0avKrUe6Ax\nCOVuRSZCulW7crWTbJRbQZhK2D/owtpsD9FnmTGV9MxJarLkxWpPWDvIj7MOZ/L7cUcdm4QUF8It\nipOW8doBR3+ysYAOVd29uKrrMHfvxl0iJyUU4KgnJ0NaFUm/wWBPDW/6YjvH6lfRyY/ZxmdYy88o\n50cMmx/m6S2Xcc07fs+2bSaLF+vccONiVpx/P4HuFQTSH4TRWii/KHvebdvgpz+H226H/n54w1nw\nh9/BJRfX4Eo/qYK1Pf1+8LdA0xuzx2Uy8NBzcPs9cNdfVWj5806B33wNLjkbAlNMvZMxVK6ae16C\ne176EP+cfIbLhv6L5uqP8+MPrOLik6B++pHu82CY8EofPLEXnuyAJzpUOHcBLK+GtY3wd8cqiciJ\nDYdGaO60CV0r30SL5uKFPf3cv03SnhDsjkN7HDoTyt7CCQFUu6HOA/VeaPDAsWUWAfHkiEiDNR84\nRDfEEg4duDQIaYqcHkikC8iKk8DECtsTzVntkUxubazgvIlJxEN/2tpL3FPPe36TwiMNAg+OJTR+\nBwnKqx1SosnWFK4P6EemmuxIw1HvSrx8wy84da1BFWFa2UIji1mc7CHsfp5HvvUN7rljKc1L7ucX\n//tp/ufXH2Ll/K9wzjleNNtKLrUHti8HaTBY/SK//dNq7vgNPPMsVFfD+6+Ca6+GlSsLbmBkG9yz\nCoQLeWk7T2+r584HlKSkdxCObVUSkr+/AOZP7IGcRTiuXH3/tFHZjwxFoalSqWresbKft/xhPpru\ngq/sm1KI+0L0x3I2Is92wfP7IJJSkQTXNcJZLXBWM5wxHyoPQjwlKZV0Y28c9iZgj1U72/sSSqT+\n0O/OI6l7ufqKu1hY5mZRABb6odmnSIZNROo8UOMufZmVUMJ0Ycp8IlRIYo678CQGWlfxRNhF6rM3\nkVy4JLfOcUzCyJcAxY2xUqG4MT07I5cYS2gCRQhNYBzyMx5xGm/8SPz+KLkSzzHiMkBP0oPfG6Xt\nsWOIn9DG1Ys/zo9f2E3NybezZtPXuOiid0P6Di57708o52Q0clFjByMLeOyVJ3nT4vPY+Nyn+fRn\nH+D8N7u48w649BIYL+ihLF/OtoV/ZEnbZdxxy+f5wAM/o7lBhZG/8i1w0jFTU7O098P9r8CfN6rM\nvqmM8qj52Llw6UkqZLw6Ty2I78PvroWfXgSfenzC89rxRJ7YC4/uUVKRHUNqrj4Ap8+Hm05X9SlN\nKrz7gYApFcnYHlVlWxS2Wu29BVIPrwYLfNDihxVBeHMttPgUCTmh643U3nET3UPfgbdcf2BuvoQS\njiJoAoKu8aOpxgd7qDx+NYvvvg3vf9yI1jrza9mea06V12RkZjwJkl0PpKCjyPE2eZquiqyoJMey\nGbONor3Outicnr+ucM14xxyO9mVHPTlJSC9RbxlGUqO9o4nWszfz+f99iUW+C5l37i+4/Nz7WMh7\nMbmLXpYyKj9F2+sX88Bf/NxzrwqWZhhr+eRVv+Y7n76YwefOpey4x4peS0p4/jX44yPwx/+Dto6L\nuf6Ub/PN9Z/m1ONdrHj3jyYNYmaa8NxOZdD65xfh9U4VJXD9cvjXdyuj1tbxJC2nXwPP/QLanoAX\nfw9r3p13b1sH4fG9ubLXCmy2uhbeuhjOWK8MVxdVzO0H3ZTQlYDtsRwJsds7YzkCogto9cPKMrik\nQZGOFh8ssOpazwT3eeab4Y6b4Kk/wXtK5KSEEg4kpJTQ15t1LxT1Dft1PiFyCfEOFNJmcdIyHpkp\nJEYxQ32XJS1ClTSVmixp2RbZ4wnHmoShjLKnC0E+oZmI4DhJ0ESkqLt31h9p/j0f7Wqd8mfvY9Wp\nPo5jGwEkK9iGxOTDfJsnOA8ML76/3c/zzwv29v2Vf/zypXzm2lu567fv5dw3wYVvg4vfDvPnA7ve\nAtEHYf5tUPU+AGJxePQFuOcJVTp6oK4K3vFGuPw8OOckifvBNTD8MpxxO7S+d8y99ofhodeUhOQv\nr0LvKNSGlLrmwhNUMLTKqYaKjw7CvzRiuAI8+7E+ntzn5ulOeLoT+uNqwz+pEd7QrJLbndmsMunO\nBWIGbI7ApjC8FoGtEWiLQVtczQFoKC+VZQFYFoSlVr0sCIv8yr1zRshk4K1B5b1zf2TuQ9uWUEIJ\nWciBARILa9Hf+wGM3/8GX38ccbi92h8kmDKf0NiG1E4C4yQ2RYlOkWMmOkexY9ixEa6bO7XOUU9O\nAk8+yOrTPSyJ9hEMdNH6XBP+0x7mmY9+HW/1U3zg61/n6jW/pnPbEtaeDDffehFLVm6gxtxAmX9B\n/kmNGHJLLYmUm19u3cc9TwV49AVIJKG1Gd5+FlxyDrzhpFwiTgBSo/DHJjDTcHkPpruKF9vhgVdV\nIr1ndyrJxvEtKlT8RSfCGcuUxGSqSGSUG+/je0F/9id8rv3DnF39VzaGzua0JqWeOatZ1eNHWJ0Z\nohmlftkcgdcjioi8FlZExP70LbIkIEsCqthkZHFAub3OCT50MmzbCLdtgkXHztFFSiihhEKYr28i\necpq9Cvfi/nkY/g2tx/sWyphGpASnnthI6efUrI5mTOYMZ1oV5Adu3TWnNXJj29Zw3X3PAJL/kZZ\nx1tJRP+TWx/4KudV/gKvF9LcwgDnkORqyngIKWFbOzz5Ejz2twDD3Q9y1yffwO5N3yORvIFbPqaC\no61YNIGKwVNO93G/pf7FS7jzR1/kuq3fZSACZT44fzX87IOKlMyrmvrvNZTIedE81amIScpQxOPs\n+ddwVc83uW/47fg+sxs9NH6q8ukgbsCrYXhpVJGQLRHYElVeMDbmeWF1CC6uV/WqkPJ8OdBeCwCc\n/GZFTl5/9oCSEyklaSAhHQWZ3y8yliwylkJiSkXy7GJS0J+leVCGhG5nnTcm8ueEms+NidxYQZ1r\ni9xYwbV8QuAT4BPgB7wC9NLb9mEJ2dOt6kQcGpsO8t2UMF0IoRwh5hJHPTnB1DArdTxr00gJ1/9p\nK7rm47wbHuRa3sxGVjASfAmNUaQsp7vnRHoz51JT9xQfummQJzZW0zektAInLIdz161nT+R8/u3d\nn0O0ngnBM4tetmcEHtsCf90M/7cZtu57O/++4jo+3PxjOs/4IKevO5FTl4Bnin+hznCOiDzZoRLj\nSVSI9/XN8J5j4Mz5KvS7S9Ng+dfhtnfBHz8K7//d9B6ZhN1xRUReC6v61bAiIyZKFbM0CCuD8J4m\nJRE5pkwZpVYeAu7EWZzwBrjz32Dj/8EFH5xwaVJKRkwYsepRCSOmZMRRjzrmneviUjrIhSIV05VX\nCtSm7LNroTZrN+p5C6HWaNZau2T705oXefOaNSdREWkTSNImZFD671ytSFdGyiJzuTozzd99IrgB\nv8g9E78Q+Kwxv/WMcm1rHJFrF1tD4TEi73gvlFQQ+wnZs0/Vo6OIhsaDfDclHIo46smJmdFI+TyY\nLvDipkP0cszoMgaDr3HHQ2n2xT7C2ss+wrXffZI//fEChsMwr+E7PHv3iZyy7kccu/jznHkCnHEC\nlNtJ8NK/gK0t0PFeWNGmcscMqKy+j29VpGSL+t9kRZOKyHrLO+HcJV8g8MCt3OC7AFZ0jX/PEjb3\nw5OdSjryVCfsHlFzS6sUCfnkSXDOggmMV0+8HCpb4OU/QGwYAsUz9A6l4eVRVWwSsikCUcsmpNIF\nx4XgnGq4bhGsKVcSkUM2+JWUDJjQZ0qGF61hPXBfGp4ezdBrSvpNJ+mAUYtkJCc4p19AhYByIajQ\nVLtCEzS71VjAsXn6EA5yMf6Yt2DMzZGzIUopMShOXHIERuaNpbHInZTEs5IlVdvkT7WtNZBdF7P+\n5vZ8XEoSSKutynQjtvqAoAYBAUEhCAq7Xdh3tLXi64ICyuy2ps59pPytx4Ps3gfl5dDXi1h76sG+\nnRIOQZTISVojHvdBCF5/qJXKlkH++O0z+MRPX+GGX/aQ6Dme765dwKnn3Mfy4AWsXgonLm/Gq8/j\nfe/+d+q5Aa3gMYYz8+hLX8VC83Y+8oNN3Ld1FV2WG+4x8+CcY1RW37NXFqpqaqH1/bDz57Dzdlii\noseGkyqmiG24+kwXjCRzxqvvWKakI2c2Q8NUDWMBLv4G3H4l/PkG5BU/YVdckZCXrPJyOKeS8WlK\n/XJcCN7VpOrVIaWmOZjfo1IqQtFpSnoNRTpUIa/uN6HPkAzmiSyq6axs4uXyJm6PGdTrgloN6jTB\nUs1JNvJJR7lVVwgo18BzhG8ksw0hRFaV4xv30R24ZyotSU9c5ghN3CI4eYTGQWbiUhKTEJVYtSRq\n9SNS0mPac5KoKbPrJiK5NjScBCafxAQ1QVmxcbuv5dqF68oOIeIj93UhGuchu/eVkv6VUBRHPTkh\no5H2qsfQsBCCS/r59rXzaJNw66/u5Z2+D/My8xlc8AxnHj+ChwoAonycMJ+jbejnbNn9YV7tgFf3\nwsZ22NYNAdet7P3oXZzX8G1qa3/BaUvg9GWTR2U1Tv4e5s7/Ytez3+M/dlzFs10qCqspVVK80+fB\nP52iAp2ta5qZ8WrMgFdG4aXqK7gweBN7tm7mgockoxn1pVXnURKQK5rghBCcUK5UMgc6kFBcSroM\n6DIkXaak07D6VrvDkHQaY7/w/QLqLJJRp0GrLjjFLfLG6nSrbmjmn+/+Fjde8SFoXHZgf8ESDgkI\nSz3mFpD795ybDTzjIDVRJ6kxc+1IAdmJSmnNq7lOUzqOzR2fmML1beJTjLjYhKbMSW60nFSn2HiZ\ngxxp0yE93fsQDY3IHdsQJZuTEorgqCcn0tBIowwhGpcLokiWnDJIBz6GvbsYiUEychnUP8OvXvwr\nbdsvYWcv7Oi5hh996vs8vfllPvMzKPfDcc3KrfefL4KTF5VRkTqBK3y/5IrlXwLPgrHXlkod84KV\nh2ZDN7zQ7eMjnq/w1fIvsK19O2ual/Hxk5SqZkXN9NK32xFTXxmFFy1pyIujynPGRBkTdi39LF96\n+eP8K4+weN15nBCCxgMgDUlLSYcBuw3JLkOyKyPZa5GQLgM6DclwgWFGQMB8TTBPh/m64FS3Rosu\naLb69RbxCE7nIS09EbZugPbN0FwiJyXMLVxCSd7mggQZeYQmn/hECsmOLeUxnYQIBk2ZJUcRqx2R\nYEzh+n4H6XESmjJtLLm5am8H8YYmnrnk76lceSKhhKHIjmYdY60LiJLR89GKo56cmBkNiYaR0Hn2\ntXqOW7uFa25Ls6R1HQuXb6XyBhDidP54ayXP7unm4WdgaQOsa9UZHD6Ly8/8Le9Y9S8sqG4cu6HH\nvg1ta2HfJ0nM/xOb+lUivFd64eU+ZbQ6bL32LyhXuWhuOh3OqL0W97M38kjdm+GC3VP6PVKmctV9\n2VLHvDQKr4ShP6Xmy3QlATm3Fq5vhRPLYVUZ+DJXwSuf4KMvfBLO3zwrz1RKRSz2GNIq0J6Rjr6k\ny8wZhQpgngYLdMF8XXCMVzBPg3m6UEVT5CMk5kAkveJkuPensPt1OPPi2T13CSUcQOhzRHyklKSw\nyYxFXBwSnkgBAcqbsyQ+nQWk5++6Ornn+FP5/A1fUxcZHN9M2gt5dju2ymusvc/YuVxfOGyErL61\nrqSWPTRx1JMTaf1PZOJu0i43pqGxYGU3zXo19Y293P7JERaVV5D2lvHei/+bn1/y4eyxSd7LEP9F\nqObfEXwDUPYh24Zg2yBsHjiZC7U3UhXdzLG/MzGkhkAZrZ5QD/90KqypV3Yj+bYildB5Cez9H+h9\nEurX5+5XQkci5ynzmkVINkdykQNbA0od84mFlm1ImfKeKSpQ0IOwYB20P6cCtAWn5laclIpk7Mqg\nJB+W9GOHIdmRkYw6pB5uYIGuyMdyl+A8r8ZCXbBAFyx0wUJd4D1YXxAty1W948WDc/0SSjjEIYTA\ni3LdrtZgf0mPlJJE3z4+mxrhY6tCGFs6iNbWETUlYYd0J2KRIdumJ2fjk7PhiVrGzrnx3Lr4FF3i\nXDApqXESGqeNzxjj5iJr3SXyMyMc9eQEQxlS+CpNqqtG8CBYddpu3sNK7gdOWPcix3MOm1hJLw/T\nnxygP1JDRxj2jJ7GqUsb2dHfxjcfh7YR2BfJnboxCImWT/GNJe/gD+f8mqbm97G6FoJTsRNZdyty\n7/+y+/mvct/q+3ktkiMkIxahCrmUkepplfDhBYqQHBeC8um66579Gbj9PfDYf8IFXwHUF8iQhO0Z\nybaMIhxOEuKUfOhAiw6LdcHJbsG7fRqLXRb50AUN2jT10QcSTVZCj47tB/c+SijhaMHAACSTIMAD\n+OpqqdaEsvCfRZiWZ9d4pKbQoDlvnZk7rseQDqPnnEosNsWQAG7GSnpsKY5fCPw43NxFETd3Clzh\nC9c4XN/9R5AarEROMkoakYj6GJApaoxKtmVcfO+VVSx5E3xjQ5odm8EXvIIvvvNhzvnvTjZ11mQP\n/9fzL+HC5X9kcaXBuQt1llfD8mpYVmVl5pUXwyY3l1bcDPPeN+byhlRZdLdaCexeD8PmKGyOzOPf\nPO/jnNG/8o+vG6wI6RwXggvrFAE5rlwltdufz2FGStoN2LXiHax3+Xlqz2v8aDDNTkPSllHutDYa\nLMPSxS7B2R6NxVZ7sS5o0ZUu/bBE7XxAQP/4rtvFYCJJIUlbdRJJCjPbt+fSKLdZaX2NyTFFZr/g\nio2PnZN56wQqcJkLge5ou6y2jsA9Zk7N6wV9u23HOimhhLmA7OpQjXQaMW8+Yo5SR2g2EQDqgNk2\ncpZSkoCssXI+cSmw/zHziZE9npDQZ3uCYXuFSYfXGKSmeV/O2D82mVHxfcbG9cmbF1gxggrnix8z\nNJ3MhzNAiZyYGqQFQwMBKkJp9nbVU13fx6O7/NRHQ5SFullVC7XB5WQMnRvP+zPNqeOZH4KWEKRd\nC4jQz08uuhs/l449v9Aw/achY0/zWG+UnYkgO2OwI6ZyyWx3JLLzasor5pgyeFMNLKi7nMWv3ka0\n4SZcJ399Rr9ezJTsNiRtFuHYaShpyPaMGrc1vb9efiknd29k2DBY59a5wqfR6hIsdQmW6oLQdIxM\nDyIkkjiSGGZeiRb0s2Muk49V1fDcccfzB9qJYeaRDifRSDkIyGwGEjsUUUhodGvMi6bisqDhLdL3\nFen7Hev8aHlt35g5USJGRzhkx15VR8KIec0H+W5mDmFLNXSoVSNzch1DSpJZ8pIf2yfn/p6L7WO7\nuscL5+0+Kkhkt+mcy18/FZd3BtNz8vvaKJETCWhQNz+F7opzYXWYbfTz6tXwIwwaV77KNSsB3DyO\nj8WNGzjDcbgu30OYL9CWeIiOyKXsTShJyN6EihGyOw7Nxtd4rOEsbnrlZZ5LnUGLX+WPOasarmmB\nFVb01AX+AsmmvAA2eXG13wHjkBM7zsdOQ7IzI/PqtoxknyO6lBdY5BIs0wVv92kss4jHEpdgweLj\ncb1+Jw913g0nvmvWH/NUIZFEMBnFYASDEatt91XbOW8QtsZs0jEZn9eBIBoBq7yrth5vMoGWMah3\nefAg8FgSB4+jqL42zrxmbd75690INEfE1fyS24aLjY+dyz+PjYwlnVFSGknGIk+ZbHv25pOYKoQ+\nJklHP0wmO5ZwrLHb03nH8jqIipPcOP9mM2l7SsTnkIDs2AsuF7K/H6255WDfziEP3bJtCeSNzu3n\n2LQDGzI+4XktpPNPc3gPJXJiAoYgabjw65BIVGL6Ori3P8NocB6mq5f/7IThNDTWrqHKv4O3vQZ9\nSehJQW+qhvvOWMVLwzrXv6Y+Mo1eaPHBogCsrYDFvtNJhT38uflGQssem3pabyGg7kzMnkfZFB1h\nl15GW0ayy4BdluRjt6GMyGzUabDEIhznepT0o1UXtLoETRPZfpzyPrj3Rth456yREwPJMAZDGAyR\nYQiDQat2jtnjIxhEMMeN1hlEowKdcjTK0alAZyleQtZYMLsR6damJMZsVP5im5S7nGXPPcE5vcBh\n+CbnPdg3MAmkQ/UVt8hKEjPbThStnevs45S0q5t0UYnYZO6uTlIaRKfM8dkoLPaawrGyAtJTIjvT\nh+zci5g3H7o6EKecdrBvp4Qi0KZAiOp9cxsGvEROJBhJnZ54kMX18POtzZx34mtc/nKK9S2r09bo\nWAAAIABJREFUeePiB/nCNkmFS3CxdhzvbH2WgJbi5AoPDV6o90CFXsNl8/+Hy+u+yzwvuMeoUHXY\n2kxt5nn1DemAaUWT7DBUnI89hrIDaTck7Yakaf6N3NPzf1y991U2lK/Dh5J+LNYFZ3kEV7k0Wi0y\n0ro/6peKJvCUwe7nJnhUSqoxiMEAGQbJMGC1+63SZ9VDllSj8I1ZAJXoVKFThYsqdJbjpYogleiE\nLOJhk49yR981VxtBhdJIM9IP81rn5hpHMYQlUfIC5YX/ALMEmwA5yUphO1rQjmJkx7pIj5mPTRLU\nXgMHYVFkp8xBZsosclNmtcuKtENW+2iS6si9e6B5AfKF5xDNY+M/lVAClMgJSNA0SSio3ruuXRZh\nF3DX+m5MV4Rtrhidb+mnkjr24mEHGX588gZqySX0G2EFcR6nxr8VNyvUaaUKld5jKN1eue/trAnf\nyucHe9hNNV2mIiOdRn4iNC/KtXaRC9a6BYvnn0n6RQ9/aP8KnvP+QoM2u7E+bMIxQIay5tW4ujfz\nZ7OPPs0cQzgGMUgV0A2bbNTiog4XTbhZjZ8ai3xUFxCRCnT0Q+1LuNIiJ5Hhg3sfJcwYOQKkMTs5\ntpXRc6yA1ETyCIyS9KliZOejmPSTyvYj1tqJ7JTciKLkpVg7NMG8/zAgOXLvHkRDAzKVQrSUyEkJ\nxVEiJyYIKRDWk2gKutgF6N4RaqhnG7Ap00W1rGFAHg8eeCi5l7hhMGRKhkzQuYyPlv+UTw1v55nU\n4mxOF6e50EniCv7Gd2iPvER/4I0s1AXrPRrNlrdLsyZotkKq55MPN/gbWTD41LRc7ZIW4ehzkIvC\ntl0nLMLx3hPfyI1/+hvfMjup1ALU4aIWV5Zs1OCixiIcqnZROZcSjQOFCsv7KhY+uPdRwiEFDWFt\n/vsv7ZGWWssmMhFMwo52pIDo2O1e0rQVjCcnsODRIEtUQg7yEiyQ8BRKdIJF1nqYGy8aubcdrXUJ\nQImclDAuSuQEScYQDKQ91LjhCwNVXFgD1wz5iaZruakB3j+ssSOVRmcBDzRp/Ffcxb2xDCEBlRo0\niOO4NuRihXsjGm+hTtOo0wWNGjRqggZd0MgaGIXfmt+B2rdM7xbrToP235NK9DLgq2KATFaV0ldE\npdJHhtECkbQG1FhkoxYXi/GyjgB1uLMkpKXmFDxGmpcffxjxputn7xEf6iizMjInogf3Pko4YiEQ\nWS+m2v382k05pDjjEZswRpb8RDEZxqCTdN7ayYzHC6U5OYJTvF+oqnIeZ0tLZTqN7OoEtwr2JFoW\n7tezKOHIRYmcSBCmQLdsNd4YUP+ulwT7WGM0MQJ8pnw7J8hVhDQ3fejcWPEId1W80xHbw0s3bv4+\neDd1/Ms4F/KBVgbJXIj4JOYY49ABS30yaBGQQQxaWs/nG+2/56Lkc7T58m0iKhwqlXrcHIufWnTq\ncFODTr1FPqqmok5ZqCLRij0bpvsUD0tkY4b4AmhA0kgCGYdXTC7mh90voYSDDY8l1aiafOmEsNVW\nkSzZyVdNhQv69vwgBnstouOcnwi2bU5rZyc/NU2+deZy2i/4HuWVUUIkxlVhOY2R7aKV/g+PCpTI\niSkQEnRLgnmKP81rwDLvIO+jnO8CLZ5uzrREnI/jRqMPHYhbbx8RTAwaMQjzKmEi1luL7QI7iskI\nBn8XXEdlupuPsI1hjKIGd26EQ22iMw83DTWnA3DzzgeJn/Q1ai2VSg063tkUvZbVgqZD79b9PpWB\nSQKDFAZJDJKYVu0cc85lSGOSxiRjxRJJY1iurGbBXPG2gcS0ioRsO1ew5nJ9gIvcW/mornPJBQ3A\nfeP+Tk6XXs1BWATk9Z2uwxoCF1q2uB19t7XJ2G27dhf0C8cLx3y48KE7iup70Etf5CWMi9lUW5mW\nMfJEKqoIBpXtrwGQCfhJVVSwR6SJkMhbM5nXlb+IF57toeckMmWMdSsvrO126f/k0EOJnEgVazNt\nCTjvJcI83DyJ5Cl2cwI+7sPFrWwnieRdtGICV/F6nkj0k6zjdJ7hQ+wBlFOO7WVie5wMuxdwfPR5\nLpXlVAhFMKoKDEbLKOKe6AOEm1O7HoeTQrP+CDKYxMkQJ0NFsIp4ZoQ2+oiRJk6GmFXiGCTIkMAg\nbtUJ67jCscw0Ilu40fCiW7FCim/K9obuQSOI2woOlj+vW8TAWWyCkF/yx1rEJnTD4HPP9yNOOT8b\niVWRF1VLRy0L+qZjzCZFuVpmCVYxYmXXcYucZSxSli66Vs1N/I6aD6+DtHgLSExh34crb32O9OTq\nIC4C1rqSJKkEGxqCEDohK1zfeMjsGSUN3PDLuxFuN94z/yFvXiJJIMeonybywIo71vWTyTNYjqFc\n0SdDIeHJhSOYHuFxri0Rnv1DiZxIxU9M64NkIJFouMhQjxuJi1oiNBPCj6AGQYBObqYpGzejDI1K\nNCro4EkWUkEAXzGreVEDZpR/TIXBu2x69+mpgnguxLqBJEGGKJkxJCJGhihpB6lwzqXHjKUd292X\nFraimQb/wjO5S6Phx4Xf2qT8js2qFl9283Ku8RYUT15fyxs/6P/EUgnI39SVAA79OCeGQ6pkS58S\nWWKo2slsu3g/gUGUNAPEi64b6wSeDw1BIEtW3FNuB6x2ieQcnZC7d0HTPOjYizjn3DHzAoHfCsJX\nN0vXNKw4OYVu4uP17fb+Ep5ixKWw70UFGfRZe4lv0rYoHqvpCESJnCAgozKLAKzDTRiDamJ8mWZ+\nQIYmBng/jQBsRDDCMJcUOCyGmUcUSTW78HBc3pyKwWCS9q6iDOiMP0PEWztGEhEvIBMJMsSsucsa\nVlIX7uAm/mLNTSz89KHnbQZ+q91AoGA8Ryr8uGjNBAnueJJfGWcT0P34ceFmbqz2DxkYll+VNrdB\nhWYLOgLd+ryWTfCWuj9IY2bJSryA0BQS3aijPUySLqJ565ITfFZzJCdHXoIOAhPEbRUXZbgps/rO\n2jtHsVNKmH3I9l2IhYuRr7yItmjxAbmmPovqKxvFCE+xODqFRCdqqfg7rUCCdrBBO8jgVNNiCMgS\nFt+4BCc3Vjjvt9peRzuXUuLQIEElciIlAgOs9GwdjBJAo58Mv2EbUbyEgZ/xOgYmPqpoQuObbMwT\nvdcR4grgy2ygm76sXYVtdyGBpmCa24BbXbt5kSfG3IpNKPx5RacKL8JbQ8O+F7jQXEBA82TXBS3i\nESwgHPpMCUVwHmTSNIbDUFkx06d6eCGVULX7UI+1euCg1GUeZkOJmMHMkplogRTPSWycUr8hknQQ\nIWqtiZIeV5rjRisgLa68fiGhCWX7LsrwHPnk+xCC3N2GaGxCPhtDLDww5GQuMBeEB1SKCDtCctwR\nNTlehMg424Vr45j0Y5IgnTcft9rpKUh+QJGg8YhLlH2z+rsXokROAE0YCEu10cEoLWiYmNxFGyvw\nIJBspgsXGkvx04xBJ2G8uC2jRh0PKlbGMYRZSMMYtYYPnYBbpVP6xGgbybLrsuTDj2ty9YashXSM\nf0hWg79h7h5GSEmIiA5A5aGv4pgVREdV7QtMvK6EGcGFRjkeyvHM+BzSUmFFSBMhTZQ0EYu0RBzF\n7o+Qooto3vh4tjpedEIWaSnDkyU0oSy58TjazrkSsZkuzF1taMtWAiAWl6IxF0Ll47Jtd+YOmSJk\nJuEgMIXEp5AExTHZM8cSlSmREyFE+XRPLKUcnf7tHARIQSbjRSODhuAY6vGzB4Hkm7yVX/AYSeJ8\nhfMA2MEm9iL5OsvwMy97mjRlDAAXM0Q5q4pfSwMQNCf3AtOUSvita8X2zoicSOvHwLQ8Vewfma0l\nEnd5JSGgJ7EHk2aHwWfuJ3c+xvRzI3Ymhnw33OJjqtYsIzK71q2WPaZbJq7OcftnvzA6oGp/2f6d\np4Q5g4oT4rLsnPzTPl5lqzbyCEyYVJa8hLMER411EMkjPeNRGy96HmkpVpykx0lyjjZ7GxmNQk83\nwqNUkYez5ORwhysr+Zk5NtLLf8/aHY3FVCUnwzAN9wuQQojlUsq2GdzTAYeQyslUIEkSx4ckg0E7\n3WTQSGOyk04kkn7rMWxhOx6Sjs07SgOwiwGSvJ7d9I1srSjAes3HXj3FVp7OjhWrDYy8/vyqMBcD\nP3E9yijbrTXFjzUL5mzyMRWcWLODa4FvN75ElO1z9chnFZrlqaOj48orLtxFxuy2PbcusYPq2nKe\nag3j5nk8uPHgwoMbt1V7HW0PrmzfdZRtMIcrhGXbEsAF0yQ3ttQm7CArYVJELVJTKL3pIcZOB+kZ\nz+bGVkcVk9QUEplQgUTncCQ2cpe1HaTTUFePCM2+52EJRw6mo9a5HBicwjrBRMEiDkF49AQ6GXRS\nDNCDizgA3+A3NJDGg+Df+R0ADXRzFnAHT5JwfMm5SHMj8AxhXuWB7Lj91m+/8Z/gCtDl0niG19At\naYBmBUjTLVsRW0qQm9fQdaVyqE0aBKi2VhYeIxw9kXeuQglEoZTCjs8RSmnAr/jIrkbk6gvypBNO\nKUVhYLL8voACSUqhXMU5Zo/LAkLnlPAYFgU0HGTLsFYYyCyZy2CQIWPVhuXVkl/iJPPWHB/to7+p\nhqerB0gzQIoM6SmapmkIvHiyhEURmVzfiwcvbnx48ePBhxcfnnHbrpJx5yEHp9SmbgZSm5RlSBwu\nIDFhS1ITdvR7idPG6JSIjS2RsVVSIYf6Kdf2UOYwLC7DjYeDk01Ztu1QdXgUbcnSA379Eg4vTJWc\ntAOPSykHprJYCNFGfmqZQxcSUoYPNwYmHipYQIgwKTJcz+U8yPeJEuMm3oeGoJ/76OVJPsYZVLM2\nu8GDJMrXuRy4mk/lkZI8ZG7k7HAXZ/Oh6d2nob6kLhuugvpphr+fDkwVyr017gfmz911DiXs+Trs\n2cVXY++BcuWFZSJJkyFFmlS2HttOWu0kaZKksvN2P0ycBCkSJEmQIk5yQimWGz1LVBRxybV9Fonx\n48GPz6q9BPARxEcAH368MzeGLmFO4LFc5qvwTfvYNGYegXGqo8LZovqdRBxEJzVurCEXIs9A2GlA\nnO8J5SowIN4/dZTZtgPKypCdHWhLphlKoYSjDlMiJ1LKaSkHpZSrZ3Y7Bwem1JFoSDQrNJWLNAYt\n1ONFI46kyTJ4zRCgFyjHRVWBL0MU0DFxT/hYBUwaA7EYDtCGk4qp2nsUGYeO9Ck34lAuILiSiCh1\nzmxCWqQnTmoMaUlkx9R43DE/wGjeWJxUnuTJCR8eAvgIWMTF2Q7iw2/1gwVzPrwTG2WXcMDhRqMK\n37SJjQpmplRRMQexiZFxtJVRsd3uJZ6nohqP3ChPleLeUDahKeYhVbVjC64lyzDbdqKff8FsPJ4S\njmCUvHWAoD6KIIOXCCZbSdOPQOP7XE+GGBKT73M9IAgwyCLgLn5HhnvyVB2XAM/SRwc3ASCKKEUu\ndrvp8QfYwNcsVYpmrXSuLVS6aNS6X2c98NfKrcT5Vd68llXu5CmCrHGXNeeyVrmKjNuWGG58yS6C\nQDwQwEUyu/6IhZQQGVbJ/8Tcb8wCYdmtuKkgOOPzKDuINHGSxEgQJUGMBDGrX9geYtTRTxYlNsou\nI0digvgJ4KMsr+3PztltzywTuBL2HyqYmQo3MF0bG8jFZnIaEDuJS9QiNc6xHmJ5/ULX75t3Ps/I\nkgr+8/9+SJl0UcYjlOEhiIuQVdtqKNvuJj9EggqZ4LMsvUo4sjEjciKEWAe8Eain4JVeSvmPs3Bf\nBxQp04sLSQYPGvPRSGJgcipvZSN/IUGUU1CqlBgvYLKZFazGyyKHDYUB/JBGgpRzGjkrCmVdYVrW\n/l4jQ5kBzSzNWlnYthYya2Uhx7TJKDuYqMskwmCBmW3OhFZaLdNR7P5UsMb9Cme5dH649G7gbgDL\nXsaNC7dlDuq2iqegds7bW7CyvvBk5RDKMqOwr+M6OAZ+w31gZKCm6cBfez+g7CCUqqdQgjcZTCRJ\nUg5So0hL3OqrEidKgkFG2Utvtm9/jp1woxPEbxWbwDjbPsoIUGYRmjL8JUJziEMgsmEQamagjrKN\niKMOSU3Ljn66V67hgzf+gsRnP0t0fkPWFmfYimvjdP2eyIR/vCCTdinsF0Yottu+w9Cw+GjBtMmJ\nEOLzwC3AVqCHfC+e6Xj0HBoQkJYeBGkMPOjUoNGDIM1azuN1niBNgnW8GYB2emkDjudUKlmTPY0k\nRg/QSgMVXDT+9YwrCabdtPDu6d1n+FsAXJi6BMULpweZpS0Zh+mo3c+QsUxHyzo+DcDb4+/G8Aez\nJqXKRDRN2rLEyOTVaVIkiDFqrUlZdTJrpTEZNDTLbLSYhYWz75z354158ePGO70vm66dqp5/9Bjo\naQj8ePHjpWYaLu1KVZDKEpWIVat+PEtsIsTpZSjbLmZc7MGdR1ZUCRCyiE0ZfkIECOInhB//dP+u\nJRxUOI2Ia/AhIxES+7pZJIO0/PTX+L74G8QEnz2VMVkRm/z8XmOD9jnne4iNSeUxfoQb9WbtH0Ne\nihGayde4SrZes4qZSE6uAz4opbxtlu9lQggh5gH/BrwNCADbgQ9IKTc61nwFuAaoBJ4CPiql3DHZ\nuYN6GI0UXqIE2YpOHz5gA7eQYR86Jhv5JgKNGCpjbxv34WUDuRyzMcqBfoYY4h6cOWT1bJJzD1Uy\nQ9rlt87rzDYzyZ8i3q3qwLyJ140DJf1wZcOej4u+QcgYLPOuh1lS50hMi8AUmo8ms+00SZIkrDpn\nkREnwjD9DmuMOOkJyI5As7Zd27Ki0Ooi3wKjcs8zlAOplSfgRpY2wAkgHKSmdhrHpUgTIe4osTH9\nAUZppztLeAqhoTnUSWMlMTa5cfYntv0q4UBC7rTCEqQsN+KKiUmxZtm1zEZ6BjuxZrEIxfFs+oWx\nKRn6SeRFMI6Pa4Wj4EXHj55HWIIUzyllS3fyM4o7E2+WVFcz+e81URv/AYMQwiYbjwBvAfqBZcCQ\nY83ngE8AVwG7UdKdvwghjpFSTvDqLkGAQGKioVmKGA2TDAlMDASSGPuQmKToRwOG2YGkDTvfrIsR\njgU6aGeU7yOLsHUhTS7CZHP5CHt4f/4cuiOWrLfgI+tnvvYkjbrGluAjuNiQFUq6xv3oB2ZmKxLu\nBrd/VvPMCLSsCmc2YGKQIplnRuo0FU0SzyorbIuMYfocFhfx7LnW73mGlfVl/Owf+tD4FF4CWasK\nX1Y5ESwYU8qKACF8VsL1EsaHBzfVuKlmarEcDUxiJAgTI0qcsEVionmEJk4/w9l2poja0ot7HBKT\nIzIhS0JTRgAv7hI5nSOY29RLnRwZRlu24oBe207FsD8RikFJcxIYYyQ34/Vt0tNDbEx6hskSa9r3\n7SQrPscOMV5/4uziufYhkXB1EsyEnPwH8HHg07N8LxPhn4E9UsprHGPtBWuuA26WUt4DIIS4CqV2\nuhT4/finFsRkGR40kvjIcBqS53Dj4nSuZhM3IDBYz7cB2MzNdHM/b+CHuBy62AT3McyTrOVqgnzQ\nirxhZ95JYZBGpncheJglqbXM5zor607SURIYJHHml7VTrpEYJOH30q1vIJcScOwbphM6vgmdBW1H\nQTvkk4cQoXg/sqwK7RCWImjoWQnITGBiWgQmiv/Vt2ImM1w4eCGJ6jISxPKUFYP0OBQWMcZqLgU+\nAmO2QKeCQrXLstvgpNKroxw6GiEChKb497WNg4tLZeyxBL0MsYsuwsSJkxxzHjeu7F8pV+y/YCBv\nriSZmR7k9q1QV49s34V24kkH+3ZmBDtJZWA//+7KY8/MJnct/LYfP6N4xtohVH+EZNG1qQnUWE44\nCUzh6/BExMdu755S2LOZYyZP+VvAvUKIncDrFMQzkVJeNhs3VoC3Aw8IIX4PnA10Aj+QUv4MQAix\nGGhESVbs+xgVQjwHnM5E5ERIAloUN3E0MlTxCjGGKcNkkN8CI3jQGOF+NDwk2AVIUmwhQwA7JVKK\nbQDoqHw0thIFpzFZ4nkAQq61hJjmP2jPnZDQOJdfZoeUFUmC/Dyx0bx2vl29MnEMs9eRlSRKdsOV\nkgsyUbae10gbFxSEdgpZ7x7leKmw2hXZMQ8VuAkdFp49GlrWZJNdbZAwWFH5ViZz11akJpb3Dq+2\nPXtLDBMjQpi9xKz3/UyRcD9e/A7SEiJIiADljrqcACGClM+atOlIhtM4uHaKNjQGRpa8hK2/ZNgq\n9l+yh0F2WP1EEVWi17KbcRr/2hKZnPrJ75C1+Y/aGDRy2xbE8pXIl/6GeNeVB/t2DiqUx56SXjAH\n/9+GZYycIz5jCc9EbRUNOUXfOATJpj6j7Jz1e3diJuTkuyiLzEeBAQ6MEWwr8FHg28BXgVOA7woh\nklLKX6OIiURJSpzosebGh5D49Sg+VHyPap4lTTWV9LCPn6OzliAROvgkACmC6HjZxeV5p/GQIAS0\ncR0aZWgE0AiiWRkMNMoIZDZRA/QH2xHcjk45OhVWKUenEp0KRDE9a6IPvPmafoGWVeHMFMoeJEaK\nMJmR7bhSD9EYXUGAax3hnMKkGSXGPobZSopRUoxS7E+vYlJWWCSmEg8VFpmpdPTtduXBJTODPRAd\ngZYVoE2+aShSo7YgmFp+ozTJ7Lu8IizhvH6MMN20E2WUGOEx6kA3njGEJVCExAQox72fYuujCTo6\nFZRRMcXsImkyWdISdkhnoo56iDB76csaCBcLthfAO4awFKqcnGNHiiGwuXUz4phVyKceP+BqnaMN\n+ixJeIrBlvokMHieDZabyNxgJnf/PuCdUsp7Z/tmJoAGPC+l/H9W/2UhxGrgI8Cv9/fUQ2YdXmLU\nMsAQn2CIRwhwLKv4KY/ycdysZCW/QZLiBT6CpJ9WbkPlZ0wiiRPj65hsoIHPoXI2RjGJYRLBIIrB\nMGR2YwpBv/cxTO5FjhNEVxGaKnQqcVGFblYw34gQnbeANL9DpwYX1ehU46IWjeCMv8CUPYgyPWPH\nowDUVF9IDW+f8DiJQZooKUZIMkqKEdKESTJCyipJRhilzWoPY4wRpQuLxFRZhKUaH1VW325X46UK\nDyHEbL91blGSLI4/a3bP64Abr0XPaiZdKzFJELOIyihRwgX1KF3sIsYoMSJjiIwXf5a0BLPkxdmv\nIEg5foKz/yyPcLhRQRen6rat7BOSY1RM0YJ2D4PstPrFVE06WlGD3xABCpWIZQQI4DvkbAmkYSC3\nb0U75TQAxIpjDvIdlTBTOKU+1TOInzMdzIScDMIcy3PGYh+wuWBsM2CrkLpRoVcbyJeeNAAvTnjm\nX36a5IN+Mp4MW7Q4YSlpunIpy698A1LuRooMPtxo+BGiHIMkOgH8HJt3miRfRuKmpsDQNQ+j60Du\nYaW2AcDin6MYjGAySoYhDIatMpTtM7oZISWDzVHCfGHMaZXTXi0uaqy6zir1uKnHRQMu6nFRg5hI\nUrHd0ootP3fCR6auqWdVOlPNbJkhkSUqSYYcZZgkg8TpZZhtJBkkY0mynNfzWsTFlyUvNfioxedo\ne6mY+sa74UFVr51L/j91iDzJzMReWRKTOFEHkRnNtiNW3UcnUUZJjnmWWlbikiMtthyhgjIqCVJB\ngFDJ2HeGUPYJyjKqnqrJD0Cpmmz360hWMZizowkTZ5QoXfRnCU5hMD2ByMaVsS2dnOkNxqvnMu6M\n3NMOiYQStHo8iEWlbMSHG+68807uvPPOvLGRkZE5veZMyMmXgC8LIT4gpYxNtniW8BRQKAtcgWUU\nK6XcJYToBs4FXgEQQpQDpwLfn+jE2jXfYtGVfuqrujG9Lr6c/CJ/9hzHivRvSGY+BP6rWZy+k1Tm\nJsCN23sMAZkklT4GRAgoR4gKpHszOpAxbkFQDaIaIWpA1CKoBVGHSO8BvTJ3bXxo+HBTP/Fv3/4l\n4C8s0H+JZD0Gw2QYJMMABgNk6CNDPxkGyNBPnFezY+S9XWtFSYubBtw04O98As3lgtrWOXn3sh3n\nAlNQiWRIZElLkiESVm23R2mjlw0kGMr7HW0SM5a45Bc3ZYgXHlIHHbd+Dn7buYVNMAKEmCwHUoZ0\nHoFxEpmoRWJ28zpRRvOkMSpibDllVGaJS8AhgckRm8PD1uhQh46efapTgYoFkhhDYCIOxWGEBAOM\nZgPuFZPOgAqkF3D4pRUjMM62TXo8UwieKLe8rupIGLFsBUIvfVYON1x55ZVceWW+rdDGjRs5+eST\n5+yaMyEnnwKWAD1CiN2MNYidC1Ps/wCeEkLciDJuPRUVz+Rax5r/BG4SQuxAuRLfDHQAf5roxCY6\n/aIRQ/hooINu97+QEpsYcr0HQ/8MpriXhH4RLu16kDES2u0EzGo0fQ1ShoFRpBzBJInbEBjpW1HC\npSKBpySYIS9GYj1C1INoQogmhJjnaDcDNQhnKPXuRwAB9WcicFnSkckjTUgMi7D0kqGHdF7dS5wX\nSdODYVldL4u0M3RWkD6xBjdNVpmHiyY8zMNNEy5rXJtjQ01FZBoJTmIypNyKh4nTT4IBEgyQZDDb\nHuQ1EgySIp/le2Iuzu/axu53LWGk9k781GWLj1r81OEicETo+124KaeG8klUSyYmccJEGCHCCFGG\ns+0Iw3TRZpGaCPn2RoIAZVmJS5DyLJkJUpntB0okZlahYoEo6QhUT+kYA5M4Scv3LJ5Ne+Cs7XYn\n/Y5UCImixoUu9Dwne2fqA3u8ecvj1ITK6NWGCJ52Ai4MStm3S5gMMyEnd836XUwCKeULQoh3AP8K\n/D9gF3CdlPK3jjXfEEIEgB+jgrA9Abxt4hgngABDaJiWWNPQmoFNuLVjGGEecC9u/Q3oXGBFS70D\n9PW49JuzpzAJI2lB096B1/1LpJRAGOQAUg4g6YPUawjzBnCvQIglSNkN5pOYch/QV3BTXhDNCKu4\nYhuQVWVI+RDCXIgQCxFicmWKCjpfb0lmxs/FaJIk0/cCnuH1+MXJ1HElafaRZh9xNpHmYQzyE1K7\nqMVtERZVN+NmPh5acNOMvh95Y6YD5VaspCETQUVGyZEW8cpf0Iz7iK5eTJh2enmBJEOaEdi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DEQ7wglPeQwAG0TL4dEAwW8Sghd4cr3fJ8tEreBWIBxzKfQqwSyD0LmPjj0E2x4C1p74EJgQxRs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\nISn33kvs+PEMmT8fU3R0re+l2WwUPf00x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2H6aDh3VBZUu38W3PnkFWdZGFavJuPBB7Fe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute the drawdown analytically as the superposition of\n", "# that of a fully penetrating well and the extra drawdown due to\n", "# partial penetration.\n", "\n", "dpp = pp(gr, a, b, D, tol=1e-2)\n", "\n", "s = Q/(2 * np.pi * kD) * (np.log(R/ gr.XM) + dpp)\n", "#s = dpp\n", "\n", "# suitable set of levels for head contouring of this case\n", "cont = np.arange(0,-5,-0.25)[::-1]\n", "\n", "plt.figure()\n", "plt.title('Numeric heads and stream lines and analytic heads');\n", "plt.setp(plt.gca(), 'xlabel','r [m]', 'ylabel', 'elevation [m]', 'xlim', (gr.x[0], 100.), 'ylim',(0, D))\n", "\n", "plt.contour(gr.xc, gr.zc, Out.Phi[:, 0, :], cont) # plot the numeric contours\n", "plt.contour(gr.xp, gr.zp, Psi, 25) # plot the stream lines\n", "plt.contour(gr.xm, gr.zm, s[:, 0, :], cont) # plot the analytic contours\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "We have implemented the stream function and used it to obtain the stream lines as its contours. This works both for flat models and for axially symmetric ones. Together with the head contours, the stream lines give a complete picture of the flow.\n", "\n", "As can be seen, the stream function jumps at and above the wells. The branchcut at this jump runs from the wells vertically to the top of the model and, therefore, the look like wells. The number of vertial stream lines in the branchcut is exactly equal to their extraction. The flow can be computed by counting stream lines, as between each pair of stream lines the total discharge is the same. The specific dischage at any point can be computed by dividing the discharge between two stream lines by the distance between them.\n", "\n", "The second example compares the heads or rather the drawdowns in a confined aquifer with a partially penetrating well screen. It shows that the analytical and numerical dawdowns are virtually the same, as the respective lines almost exactly lie upon onanother.\n", "\n", "The next chapter will deal with transient flow. Particle tracking is delayed to later." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "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": 1 }