{ "metadata": { "kernelspec": { "codemirror_mode": { "name": "ipython", "version": 3 }, "display_name": "IPython (Python 3)", "language": "python", "name": "python3", "pygments_lexer": "ipython3" }, "name": "", "signature": "sha256:b8a88816f76dcd27f87aee37b30697fad662c747ac283c709e3f6cf2df99bfa1" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import os\n", "from IPython.core.display import HTML\n", "\n", "with open('creative_commons.txt', 'r') as f:\n", " html = f.read()\n", "\n", "name = '2014-11-10-OI2'\n", "\n", "html = '''\n", "\n", "

This post was written as an IPython notebook.\n", " It is available for download\n", " or as a static html.

\n", "

\n", "%s''' % (name, name, html)\n", "\n", "%matplotlib inline\n", "from matplotlib import style\n", "style.use('ggplot')\n", "\n", "\n", "from datetime import datetime\n", "\n", "title = \"Gridding data part 2\"\n", "hour = datetime.utcnow().strftime('%H:%M')\n", "comments=\"true\"\n", "\n", "date = '-'.join(name.split('-')[:3])\n", "slug = '-'.join(name.split('-')[3:])\n", "\n", "metadata = dict(title=title,\n", " date=date,\n", " hour=hour,\n", " comments=comments,\n", " slug=slug,\n", " name=name)\n", "\n", "markdown = '''Title: {title}\n", "date: {date} {hour}\n", "comments: {comments}\n", "slug: {slug}\n", "\n", "{{% notebook {name}.ipynb cells[1:] %}}\n", "'''.format(**metadata)\n", "\n", "content = os.path.abspath(os.path.join(os.getcwd(), os.pardir, os.pardir, '{}.md'.format(name)))\n", "with open('{}'.format(content), 'w') as f:\n", " f.writelines(markdown)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "(This post is the second part of\n", "[Gridding data](https://ocefpaf.github.io/python4oceanographers/blog/2014/10/27/OI/).)\n", "\n", "In the first part we implemented a function to interpolate scattered\n", "observations to a grid. Our function took a correlation length and an\n", "estimated error and, using a fixed Gaussian correlation function, interpolate\n", "the observations to a rectangular grid. Remember that we had to guess the\n", "parameters and hope for the best fit. (BTW: A good first guess for the\n", "correlation length is the first would be the first Baroclinic Rossby radius.)\n", "\n", "In this post we extend our gridding function to take different correlation\n", "functions (Gaussian, Markov and LeTraon functions), but most importantly we\n", "will estimate the parameters `R` (Correlation length scale) and `lamb`\n", "(error variance).\n", "\n", "For this we need a function to express the `R`, the grid and\n", "the observed positions in kilometers (for an easier interpretation of the\n", "length scale `R`). We also need a function to estimate the scale using either\n", "a Gaussian or a Markov function.\n", "\n", "(For more information check the\n", "[original](http://marine.rutgers.edu/dmcs/ms615/jw_matlab/oi/myfunction.m)\n", "MatlabTM program and\n", "[this paper](http://link.springer.com/article/10.1007%2Fs10236-001-0011-2).)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "\n", "def ll2km(lon, lat, bbox):\n", " \"\"\"xkm, ykm will be the coordinates of the data (converted from lon/lat).\"\"\"\n", " rearth = 6370800 # Earth radius [m].\n", " deg2rad = np.pi/180\n", " ykm = rearth * (lat - bbox[2]) * deg2rad / 1000\n", " xkm = rearth * ((deg2rad * (lon - bbox[0])) *\n", " np.cos(deg2rad * 0.5 * (lat + bbox[2])) / 1000)\n", "\n", " return xkm, ykm\n", "\n", "\n", "def func(a, x, fx, method='markov'):\n", " \"\"\"Compute the mean squared misfit between an analytical function\n", " (e.g. Gaussian or Markov function) and a set of data FX observed at\n", " independent coordinates X.\n", " \n", " http://marine.rutgers.edu/dmcs/ms615/jw_matlab/oi/myfunction.m\n", "\n", " Parameters\n", " ----------\n", " a : float\n", " Parameters of analytically function\n", " x : array\n", " Locations of data\n", " fx : array\n", " Observed function values (data).\n", "\n", " method : string\n", " Specifies the shape of the function to be fitted:\n", " Must be one of 'gauss', 'markov' (default) or 'letra' (LeTraon).\n", "\n", " In all cases, two parameters are fit a[0] is the y-intercept at x=0\n", " a[1] is the characteristic scale of the fitted function.\n", " \"\"\"\n", "\n", " # Gaussian function f = a0 * exp(-0.5 * (r/a)**2).\n", " if method == 'gauss':\n", " r = x / a[1]\n", " fit = a[0] * np.exp(-0.5 * r**2)\n", " # Markov function f = a0 * (1 + r/a) * exp(-r/a).\n", " elif method == 'markov':\n", " r = np.abs(x) / a[1]\n", " fit = a[0] * (1+r) * np.exp(-r)\n", " # Le Traon function f = a0 * exp(-r/a) * (1+r/a+(r**2) / 6-(r**3) / 6.\n", " elif 'letra':\n", " r = np.abs(x) / a[1]\n", " rsq = r**2\n", " fit = a[0] * np.exp(-r) * (1 + r + rsq / 6 - (r * rsq) / 6)\n", " else:\n", " raise ValueError(\"Unrecognized method {!r}. Must be one of 'gauss',\"\n", " \" 'markov' or 'letra'.\".format(method))\n", "\n", " return np.mean((fit - fx)**2)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below is our new gridding function. The function takes the correlation length\n", "`R`, an estimated error variance `lamb` along with the grid, observed data and\n", "observed positions. So far it is very similar to our previous gridding\n", "function. The main difference is that now we can pass either `Gaussian` or\n", "`Markov` as the correlation function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def optinter(R, lamb, x, y, data, xdata, ydata, cov_func='markov'):\n", " \"\"\"The code uses optimal interpolation to map irregular spaced observations\n", " onto a regular grid.\n", " \n", " http://marine.rutgers.edu/dmcs/ms615/jw_matlab/oi/oi_mercator.m\n", "\n", " Parameters\n", " ----------\n", " R : float\n", " Square root of the de-correlation length scale in units of deg**2.\n", " lambda : float\n", " error squared to signal squared or E.\n", " X, Y : array\n", " Grid of the locations for theta.\n", " data : array\n", " Observations.\n", " xdata, ydata : array\n", " Observed locations.\n", "\n", " Returns\n", " -------\n", " theta : array\n", " Optimal interpolated data.\n", " err : array\n", " Estimated optimum error.\n", " res : array\n", " Residue fit.\n", " \"\"\"\n", " X, Y = ll2km(*np.meshgrid(x, y), bbox=bbox)\n", " \n", " # Ars.\n", " xkm, ykm = ll2km(xdata, ydata, bbox)\n", " xr, yr = np.meshgrid(xkm, ykm)\n", "\n", " # Compute the distance of each data point:\n", " rdist = np.sqrt((xr - xr.T)**2 + (yr - yr.T)**2)\n", "\n", " # Covariance function.\n", " if cov_func == 'gauss':\n", " cdd0 = np.exp(-rdist**2 / R**2)\n", " elif cov_func == 'markov':\n", " cdd0 = (1 + rdist/R) * np.exp(-rdist/R)\n", " else:\n", " raise ValueError(\"Unrecognized covariance function {!r}.\"\n", " \"Must be one of 'gauss' or 'markov'.\".format(cov_func))\n", "\n", " # Final Data covariance Matrix between data points.\n", " cdd = cdd0 + lamb * np.eye(*cdd0.shape)\n", "\n", " # Cxr.\n", " Xd, Xg = np.meshgrid(xkm, X.ravel())\n", " Yd, Yg = np.meshgrid(ykm, Y.ravel())\n", "\n", " # Distance between observation r and grid g.\n", " rmd = np.sqrt((Xg - Xd)**2 + (Yg - Yd)**2)\n", "\n", " # Again plug into covariance function.\n", " if cov_func == 'gauss':\n", " cmd = np.exp(-rmd**2 / R**2)\n", " elif cov_func == 'markov':\n", " cmd = (1 + rmd /R) * np.exp(-rmd/R)\n", " else:\n", " raise ValueError(\"Unrecognized covariance function {!r}.\"\n", " \"Must be one of 'gauss' or 'markov'.\".format(cov_func))\n", "\n", " demeaned = data - data.mean()\n", " res = data.mean() + np.dot(cdd0, np.linalg.solve(cdd, demeaned))\n", " res = data.ravel() - res.ravel()\n", "\n", " # Normalized by the error variance.\n", " err = np.diag(1 - np.dot(np.dot(cmd, np.linalg.inv(cdd)), cmd.T))\n", " err = np.reshape(err, X.shape) * 100 # Error in percentages.\n", "\n", " theta = data.mean() + np.dot(cmd, np.linalg.solve(cdd, demeaned))\n", " theta = np.reshape(theta, X.shape)\n", "\n", " return dict(residual=res, error=err, covariance=cdd0, final_covariance=cdd, theta=theta)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the original data again." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import cartopy.crs as ccrs\n", "import matplotlib.pyplot as plt\n", "import cartopy.feature as cfeature\n", "from cartopy.mpl.gridliner import LONGITUDE_FORMATTER, LATITUDE_FORMATTER\n", "\n", "LAND = cfeature.NaturalEarthFeature('physical', 'land', '50m',\n", " edgecolor='face',\n", " facecolor=cfeature.COLORS['land'])\n", "\n", "\n", "def make_map(bbox, projection=ccrs.PlateCarree()):\n", " fig, ax = plt.subplots(figsize=(8, 6),\n", " subplot_kw=dict(projection=projection))\n", " ax.set_extent(bbox)\n", " ax.add_feature(LAND, facecolor='0.75')\n", " ax.coastlines(resolution='50m')\n", " gl = ax.gridlines(draw_labels=True)\n", " gl.xlabels_top = gl.ylabels_right = False\n", " gl.xformatter = LONGITUDE_FORMATTER\n", " gl.yformatter = LATITUDE_FORMATTER\n", " return fig, ax" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy.ma as ma\n", "from scipy.io import loadmat\n", "from oceans.colormaps import cm\n", "\n", "merc = loadmat('./data/mercator_temperature.mat', squeeze_me=True)\n", "\n", "x, y = merc['x'], merc['y']\n", "bbox = [x.min(), x.max(), y.min(), y.max()]\n", "\n", "level = 10 # 10 meters temperature.\n", "data = ma.masked_invalid(merc['temp'][level, ...])\n", "\n", "fig, ax = make_map(bbox=bbox)\n", "cs = ax.pcolormesh(x, y, data, cmap=cm.avhrr)\n", "cbar = fig.colorbar(cs, extend='both', shrink=0.85)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JaHo7Z89TmmpPdCktLQVyKy65nBWOpvKk0Sjul19AtuOeqOQHmXu30mNyEYRKzTT9IAC0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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the sub-sampled data as before." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def random_mask(data, frac=0.05):\n", " N = data.size\n", " frac = np.int(frac * N)\n", " idx = np.random.random_integers(0, N-1, frac)\n", " return idx\n", "\n", "mask = ~data.mask\n", "temp = data[mask].data\n", "\n", "idx = random_mask(temp, frac=0.05)\n", "\n", "X, Y = np.meshgrid(x, y)\n", "\n", "tsub = temp[idx]\n", "xx, yy = X[mask][idx], Y[mask][idx]\n", "\n", "fig, ax = make_map(bbox)\n", "ax.set_title('Sub-sampled data to '\n", " '{:0.2f} %.'.format(100 * tsub.size / temp.size))\n", "cs = ax.scatter(xx, yy, 20, tsub, cmap=cm.avhrr)\n", "cbar = fig.colorbar(cs, extend='both', shrink=0.85)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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wDNatW0dBQUGVO1kEInURuzKuQxgXDIxl45KjOEMt9Bne5ryxFs+kvhVWYytE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\ngLqn8KQNRqbOQ0rZ6WfAdRz0s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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we estimate the length scale `R` we can try to over and under estimated\n", "the parameter while fixing `lamb`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "R = 300 # [km] Overestimation.\n", "lamb = 0.11\n", "\n", "ret = optinter(R, lamb, x, y, tsub, xx, yy, cov_func='markov')\n", "\n", "fig, ax = make_map(bbox=bbox)\n", "cs = ax.pcolormesh(x, y, ret['theta'], cmap=cm.avhrr)\n", "ax.set_title('Too smooth!')\n", "cbar = fig.colorbar(cs, extend='both', shrink=0.85)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IYPLkyQCMHz+eiy66iGnTprFw4UJ/uEYo9MJ4nHP4cC5FRq+mnoZGo9EE0RCZ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\ntfvjr13RNa8Yg9uuXV+gp1idAVC/YlOL6MSL2kSVaDv0A9Kmq7fBTPy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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "R = 20 # [km] Underestimated.\n", "\n", "ret = optinter(R, 0.11, x, y, tsub, xx, yy, cov_func='markov')\n", "\n", "fig, ax = make_map(bbox=bbox)\n", "cs = ax.pcolormesh(x, y, ret['theta'], cmap=cm.avhrr)\n", "ax.set_title('Some suspicious structures...')\n", "cbar = fig.colorbar(cs, extend='both', shrink=0.85)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5SqiTZXoOqmzydaH15IXjS0RGdncHAmmzLD0HJ3FrZGXS+TDOK9a5SF71CItR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\nWsmk/Cf1vuS9VPVETuS8E6n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+xYwxtS/JrkAgENw0IiVc7SY0tA72bPsZ4XU88f4TZgAS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\nxpwBVt84khEL9TRD0bej7eNtlSRgWjfehpZ9gU43h5fd7Lp7SL35PSF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ReJhBHRiTnmAw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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first one, where we overestimated `R = 300 km` is clearly too smoothed.\n", "On the other hand, the second one using `R = 20 km`, created several weird\n", "structures that are probably not realistic (check the original data above).\n", "\n", "Well, it was promised an objective way to estimate those parameters right? The\n", "trick part is the error variance: one might start with the instrumentation\n", "error + an estimated noise or an error assessment of the measurements.\n", "\n", "Here we assume that the original data had no error and we add a known noise.\n", "That way we have some control on what is going to happen.\n", "\n", "(Adding random noise of $\\pm$ 0.75 $^\\circ$C\n", "or variance 0.5625 $^\\circ$C$^2$.)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "e = 0.75\n", "tsub += e * np.random.randn(tsub.size)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "demaned = tsub - tsub.mean()\n", "C = np.dot(demaned[:, None], demaned[:, None].T) # Cov.\n", "\n", "# Distance to check for the scale.\n", "dr = 30 # Distance step.\n", "rs = np.r_[0, np.arange(0.5*dr, 1000, dr)]\n", "\n", "cf = [np.diag(C).mean()]\n", "XKM, YKM = ll2km(*np.meshgrid(xx, yy), bbox=bbox)\n", "Rd = np.sqrt((XKM-XKM.T)**2 + (YKM-YKM.T)**2)\n", "for r in rs[1:]:\n", " idx = np.logical_and(Rd.ravel() > r - 0.5 * dr,\n", " Rd.ravel() <= r + 0.5 * dr)\n", " cf.append(C.ravel()[idx].mean())\n", "\n", "cf = np.array(cf) # Observed Covariance Function." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can fit an analytical covariance function to the observed covariance." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.optimize import fmin\n", "\n", "rfitmax = 600\n", "subset = np.logical_and(rs > 0, rs <= rfitmax)\n", "\n", "x0 = [20, 400]\n", "a = fmin(func=func, x0=x0, args=(rs[subset], cf[subset], 'gauss'))\n", "b = fmin(func=func, x0=x0, args=(rs[subset], cf[subset], 'markov'))\n", "\n", "# Final fit at convergence.\n", "misfit_a = func(a, rs[subset], cf[subset], 'gauss')\n", "misfit_b = func(b, rs[subset], cf[subset], 'markov')\n", "\n", "# Estimate the noise variance.\n", "if misfit_a < misfit_b:\n", " best_method = 'Gaussian'\n", " esq = cf[0] - a[0]\n", "else:\n", " best_method = 'Markov'\n", " esq = cf[0] - b[0]\n", "\n", "print('\\nThe best fit was \"%s\"' % best_method)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Optimization terminated successfully.\n", " Current function value: 1.251985\n", " Iterations: 62\n", " Function evaluations: 120\n", "Optimization terminated successfully.\n", " Current function value: 0.840583\n", " Iterations: 66\n", " Function evaluations: 127\n", "\n", "The best fit was \"Markov\"\n" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "ax.plot(rs, cf, 'x')\n", "ax.plot(rs, a[0] * np.exp(-0.5 * (rs/a[1])**2),\n", " label='Gaussian: misfit = %.3f' % misfit_a)\n", "ax.plot(rs, b[0] * (1 + rs/(b[1])) * np.exp(-rs/b[1]),\n", " label='Markov: misfit = %.3f' % misfit_b)\n", "ax.set_xlabel('Distance (km)')\n", "ax.set_ylabel(r'$^\\circ$C$^2$')\n", "ax.set_title('Binned lagged covariance from data')\n", "ax.errorbar(160, cf[0], yerr=esq, color='black', label=r'$e^2$')\n", "ax.grid(True)\n", "ax.text(200, 10, 'R = %.2f km' % b[1])\n", "leg = ax.legend(numpoints=1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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sXO2Ak+WaYySoEydO4Pvvv8f27dtx4cIFJCcn6034VZFarcarr76KyZMnIyYm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\nb7yRXbt28eKLL5KRkcGuXbuCPutvf/sbd9xxB7/97W8ZP34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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next step is to estimated the error variance (`lamb`) using the noise\n", "variance (`esq`) and the estimated signal variance (`ssq`).\n", "(`ssq` is given by y-intercept from fit above). Note that the fit offset is\n", "the correlation length `R`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "R = b[1] # Scale.\n", "ssq = b[0] # Add error/signal variance.\n", "lamb = esq/ssq\n", "\n", "ret = optinter(R, lamb, x, y, tsub, xx, yy, cov_func='gauss')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To evaluate the fit we need to examine the histogram of the residuals.\n", "(We expect most the data points to fall around zero.)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "h = ax.hist(ret['residual'], 20)\n", "ax.set_xlim(-4, 4)\n", "_ = ax.set_title('Histogram of residuals (data - intepolation)')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Dhw+jqqoKJpMJP/3pTwEAR48exapVq/D3v/8dx48fx8cff4z9+/fb90FP8+fPx7Rp07Bk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\nExGpAMOciEgFGOZERCrAMCciUoH/BzT1iqkzfJUAAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And finally gridded data using the estimated `R` and `lamb`. Not perfect, but\n", "remember that we used only 5% of the original data here." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = make_map(bbox=bbox)\n", "cs = ax.pcolormesh(x, y, ret['theta'], cmap=cm.avhrr)\n", "cbar = fig.colorbar(cs, extend='both', cmap=cm.avhrr, shrink=0.85, )\n", "_ = ax.scatter(xx, yy, 20, tsub)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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7K2pbdqeWSCR1h9GozVFGOHYHhTEF8RjsSmJnDiiHNFsxVtHeVzyfmgY+lba0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\n6eCBmYbG1/Q0kEzq/c2cJo1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6PLk5dnPYVlKxm0/3prTYvSizBPnjdMaCthRmLVKt0Gr3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\nC3Y+fguQmUfVL+A/LedpulhJ2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rVP4UgdmXB1YBu+e6b6ngU9zg/p1W9mVc8RCsawOciy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\nmfUbyv/yONqJEyAEAx+4jw2P30lkum9n996M6DmEjvfPg5vmMvCTT3Gf9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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can be handy to show the expected errors for the gridded data. Note how\n", "the error increases to more than 50% for any grid point that is more than `R` \n", "distant from an observed point." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = make_map(bbox=bbox)\n", "cs = ax.pcolormesh(x, y, ret['error'], vmin=0, vmax=50, cmap=plt.cm.cubehelix_r)\n", "cbar = fig.colorbar(cs, extend='both', shrink=0.85)\n", "_ = ax.plot(xx, yy, 'o', markerfacecolor='none')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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UsPfvordswb2fAFDISjkOnucQ8+tnkJEUj6zU45LJN8A/Wo6DVN1WgvKz+r3AANTmn+AF\nCv7joyF4AHs+Ww2aE03KIeMnY3RXf0Jxdi6Ww4L6mUmTeT7aj/bUHL/99lv06dMHZrO55lgUpk2b\nhmnTpjWpvyYcNR468vPFn6unpyecnJxw9uxZ2Gw2ZGdn4+zZszh9+jTKysoc9mdZFtnZ2R1iWgp+\nJBQjH5tKrPulR9wd/fZL7Dz0AwAeqcfiseBt0XQ6Z/qv8PzLc7HwnaXYsX4NIsaNx9Y1sVj0rmxa\n3bZ2FUIfbRstqz5M/lEw+UehzxAjbt0S52pb8n2ZwqIQEEKafgVWIcTVJl472oyA4GgEBEeDUk4h\n3y53uP0DhWofh5yioiJkZ2fjqaeewtdffw1AnDppTnyrJhw1HioEQUBWVhZKSkpgNBphNptx+PBh\nZGdnN965Bj8/P3Tv3h2CICAvLw8XLzp2XafVP1xGB6HGy5VmyCcYp3hs8gLprKNXZDLRV6qcdRQZ\nVgylZBo4VN+VFsu5n4ime5T8gCtT/eYFyL4kau3QoEjv5msgxzmCkc83iCeTHQyhZW3RzY2Mw2N9\nRM/HzEvpOH56t6QZhwWOxyh/2QmH9iAHyugF6PQM9M489DoBBgMDva7GOYlhUGtJZRgGwWOicCn3\nLP44bQooStSCJj7xFPxN0eAUwkWpLdIV5PF0FfJ3Rtsdm885o0rD5QGqZnNB/U6l/CyoMuRw9S8D\npECkyMyAoBpKVacIORFUDkCgIT3V1dPvgpO8zLo4EW2UUdbuu1aTnlHtqTm2l3Dcv38/XnzxRUlr\nBETN8fvvv8fx48cxaNAgzJw5E66urg73oQlHjYcGi8WCjz/+GBcvXsS1ay3zqAsNDUVgYCBeeOEF\n8DyPuLg4HDt2DCdPnmy07+jRoxvd5pdM5qV0JJ09ibkL1krrdn6yGpwX02CoCsfJUoNTzPcqnVI4\njkNmUiKKCgrwj6+/g63GdLpjfSxy0hNhCm3YIUejk9ICs2pubi5yc3Olz35+fvDz85M+Z2ZmwsPD\nAwMHDiS2mzRpEp599lkAwMGDB/HJJ59g/vz5Do+jCUeNDsVqtaKwsBBGoxHfffcdjEYjvL294ebm\nhrKyMpw+fRpFRUUwm82wWq24ffs2bt261ezjDB06FAaDAcOGDQNFUdi4cSMsFouUfLwxunfvjrx7\neTDoW1eYNeNKFk7E5UqaVcToxxDoF9l4x4eA5NyTeOXpN6Cc5ps3cwl2frm+QeH4+BNPYfaTk7H/\nu+8l02n6yROY8oyYj3Zz7CpEjp+AlIR4wqQKiN6q29es0YSjipyMk0hPjAOj0+Hu7euAAPTqOVCM\nDY2IQWiPtsvA0ypoum6C+0ZQC0M1Fy9eRGZmJrKzs2G322E2m7F161YsWrRI2iYmJgbvvfdeg8fR\nhKNGiygrK4PRaISTk1OD2925cwffffcdioqK4OTkhL59+yI/Px+VlZWwWCxSyMTMmTNx4MABMAwD\nJycnODs7w2q14s6dO00SXo1x+fJljB49GllZWcjLy0NJSUmjfYYOHQrfHj1hNBrg5u6OmTN/j/LK\naqAmPo2mSJOkTVHKwcZXEG1OtgpkXD2FpEsZePUF2XNwy5cbwVgtCH5EzBzDVJPjsttks2opioi2\nSkrWstRWOBoC9JS40qgynXorzKyP0KRHRxAvm0CVZlSANKXWmlFrsfh0heDuDotPV7BdSFsf7cSA\nqgmxY4x1HVZemDsHFCNg1hNTQNMMyktL0K2HL0qLS7B17RqMiZmAgPAopJ44gdqCFJxdUVmE1xGV\nRuhK+Rj6UlXSbkUSb8ZOmsV5hderOhaV4pxB11QwEVRVK4hpLHUEhsLkqp5XpKoVWX7MqsobNmVW\nctUujfLxebVg4YGclJNITzqK2W8uR076SXCseJ5BoY8hIDgae7auBDOcg2m04oXCIJsX3dDy9IjN\nph28VWfMmIEZM2YAAM6dO4cjR45g0aJFKCkpQZcuYiWdtLS0RjNracLxZ05JSQmKi4ulDC+tRRAE\n/O///i8yMjJAURSMRiMoigLP89KEtyAI0mebzYZz586hsrISFEWhW7duKC0thV31YJo6dSru3r3r\n4Khtw5kzZ5q1vYuLS01GHAYUgAOfHsB/taJiTNKlDLw25U9EordXnn4D2w7/XRKODzNK86iSpsTs\nPf/yXLyoSMqghuVIk2tz9/9LIj05DrNfrcnIkxgnZQba+7dYBARHY/ai5fjo/ZWkcOwo2mnOsRZB\nEKTY5wMHDuDmzZugKAo+Pj6YM2dOg3014fgzRxAEvPrqq1i+fDmGDh3aeId64DgOly9fRnJyMu7c\nuYO7d+/i/PnzLRrL/fv3G9+wk3Dq1Cm46UW39tof2JjHn2rx/hi6/ng8mmqfOL0HTW31kD+9sUpa\nt3vnCoQ93jbepBHjxmPb2lgsfEc2re58fyVCIjomTjQn+yTS0+LAOIsJw0MjY2CK6Jg0gDnZJ5Ge\nGgfvrkacykxETsZJmCKjwShif2mFZuzoXnzQUBQFSl2Psw1RmmBfeeWVZvXVhOPPHG9vb4wYMQKf\nfPIJYmNjm9xPEAScO3cO//nPf1BaWory8nJcvXq1VSbOXr16wdnZGVevXm18406Cs4H03BMYGryx\n/p+NTWFDs6qKycJWBs5eDdjKQFu8yH3aLaAtYlJvyka62Nt5eT8WkCZC5fHU794GWoBbjVeqE61K\nkK4wxQ3jSYtCf0o2l7q5kGZVrssgeSxdyULPdi8DRkWNA+umx95/xIJmatK0jZ1Yk71GNCE2pCSo\nveyVlk2OpRAQGg2eo7Bt7RqA04HnOYRGPY6AwdFQTnQyFbKGqa8gAx111fL1pFTZYyi9sriy6jvm\nBVBszXUUGDEpeepRzJ67HEJNUvQ9W1cCkNPVAaSHKkV+fdApxqmrIk3ftFXxWWU6ZZ3lPHMsjMg5\nLVb8mPunZegzzAnFxVakHT8KAOBsLGodp3mWk8y+nErbFmjZFO4MMsF9u9LOmmNr0ITjL4CAgAAc\nPXoUPM+DbmTyu6ysDEeOHMH169dRWlqKM2fONJwxphEoikJISAgYhkF+fr6U1PuXyJihJmz6vwN4\n5dl3pXWbjmxB1Mjml0DqrJgCouD/qFp7ajy2LCs5EWnH4sHodOBYFhHjxiMwsq7ZLzAiCoERUbBV\nyfexUFxns3anvqTkYZETsGfLKgSHj5M0yYBmJChvKWkZcZj7J3keOzQ8BmkpR5GRHI/QyBjs2bIS\ngiAgvCbrzu5tKzAmqG7d0A5BE44aHYm3tzd4nkdFRQU8PT3rtHMch6SkJCQmJqKyshLnz59HcXHr\nnzjDhg1Dr1694Ovri9u3b+P27dtgWRY6nQ69evVCcXExKisrwTAMPD09ERgYKGmojnBhyNpFSjdw\nliffvq2qz01FeQydk0rL01EQjHTNscmHvjLOkYPq2LwNIf2HArwdW49skbxVo4eFI2SQCah5kxfU\nwXAKGFU6FGVGHjeK7OdECfCq0Rg9VVarfoJ8fn1AJgL3MDwin6tbX6LN5iVri6w7WUaJd1Y4yKiT\nbzf07BOAzKQkpCTEY+E7S6TV29bGguMpBNUISI5VxQ8qsuBQqkw3jFWez2ZspBcMbVMEFKoCFpUv\njpT6hVAA4VxDVGbhgVNZJ5GWfBTBYePwx7nvAKjRJK2QKnjQKqcbpbaoTDAPAIxFLg+m1hwZq+w8\nQ/ECDHbZ8YiyGhE0ZAzoagG794tZce7fFdMmZqUcR0ZiPMLDJiKwfzjAKjICKcysRuoBao40Jf51\nQjTh+AvAy8sLVVVVcHMjb3qO43Dw4EFcvHgRBQUFuHDhQpscb9iwYejRowf8/Pxw+/ZtXLx4ERcv\nXkRoaCjc3d3h5eWFESNGICMjA/fv30dubq6k1bYkTONhImTgSAT7/7qjh9GpkLPiyA/rhe8sxfb1\nayTh2NlQJ/ROT4kTS03tkKcuZi9ajn2bm1feqi3GAtRk9gmMxqyX35FXKt8hStowBU9r0DRHjY6k\noqICer2eSNB848YNfPzxx7hx4wZu3rzZ6D769u0LX19fGAzifAdN06AoCjRNg2EY6PV66PV66HQ6\njB49Gj179sSBAwdw4cIFjBw5ElOnTsUzzzyD7t27g2VZHD9+HHa7HTqdDnq9HhUVFXVyoGr8MnCU\nOLzWaSQrORFJR2WTa9hjMRg98tEHOcQ6hIbFYM+ulZJplWF02L11BcKjSOcj+gE4voQHjMOOf67F\n/N/JgnDXvpUIje78Ce0FmiIyRHUmNOH4CyApKYkImk1ISMCPP/6IxMREjBo1ClFR4tu5TqeDq6sr\nDAYDzGYzbDYbaJqGXq/HqFGjEBgYiG7dukkC0hH379/Hm2++iX79+iEkJASzZ89G165dce3aNRw8\neBCFhYW4e/curly5IvVxNXihu5tYi1HflYw/4rzluCveiXzYUMpwsGrybZgul01TfAVpJmatsuML\nz5Nv3jq9bHak3UizKnQUhBoTIkM7zs3KqQLeGjKXKk1aNE1eWx3lLC27gDQpeyqKCnpS5Dk4A/Cu\n8bD1psifuQ8vX08vypdoYwzdpWXWlTx3Zcox3qh6oCm/loacblSXTADAslyNMw65z9qsOCkJcZjz\npjy/t2vDKnCVFAKCa8yVLGlWVaaFo1jynqB4xWe1UwpPmoodwgsw+UcBPLB39yrQBh0y0xIwe+Ey\nBJiiiVhHnmWlIFSmWnWfVcsmXl0leX9SivuTUt07tFVODE5xLCJ6jYC+shJ7/7ECbv28UFpgQZT/\nWIweGglUyn2VQojmVF+EQnsz0qp7vrHaXq2hHatytBZNOP7MsVgs+Oabb/D555/Dbrfj448/xuXL\nl2G32zFmzBhMnjwZjz76aL11EFuKj48PPvroI5jNZiQlJUnLlZWVOH36NKzWdvyxaTx0hI8dj+3r\nyBCNbWtXIWLcBMnkald4es79yzLsWrtaEo4dhckUBZMpCoIzhaDQx5CWfJTIBLR72wqEh7RfUnQl\nwY+EIviRUHQb0xt3zosvhS13o3uAaHOOGh1FSkoKxo8fL9U05Hke3t7emDRpEk6dOoXHHnusTY9n\nt9uRk5ODpKQkFBcX4/bt27h+/XqbHkOj/cm4nouTif8BQ+vA8Swi/aIxsvsUAED22SQkXzgGhqmJ\n7wudgIAxLRdUtfOKO95bLZfyGj8BgRFRyEg8Xm8fup1qOLaUWqG4b4dYlornOYRHToRpROecM+00\naHOOGh1BSkoKDAYDCgsLUV1djVGjRuFXv/qVlC0nKCio1ccoKyvDiRMncPnyZVitVlRXV6OwsBCX\nL1+uEwLS1bmntGzoP4rc0cAeEMYHAAAYXzJG0NtVNjkpK0oAgIWVb+GKameyrVjhmXuPjMvTFckm\nLdpMBqApzU+cl8pzzyAAbqJJyllPmuycFbZFA8ixUIz8mdeR5jtB4fko6MkqATpGNnG5smSdPU/I\nZk5vgRyLE0XDsya5gNL8CgDuijg2PU2mCqMYZ2RcO4OkK2excOYaaf3WLz6AxVscS2pOPGa/skJq\n27N7FeCEBvOnNkZQZBSCx6hKOglircb64B1k4wEAoakP22bMB1JC3ZRy8mDE/wJM0TD5k9eArlLE\noqqqgDBm2eyvNKMCgGCVk2WoTfIUpzDHqobCWH1gKK8/FpmoNKIq18YrYjz1uq5kR6EdM1dRmuao\n8YDJzs7GN998gxdffBHdunXD66+/3mB5lqbC8zzOnz+PEydOoKioCNXV1bh58ybu3LnTBqPW6Awk\nXs7Ea7/6AxGMsuiZP2PT99shQEwmrnzMz56zDHs/Xt0q4ZiVnIi04/FgGAYcxyF87HgERkRJJtfZ\nb8hzjjs3rERo5IMxVzZETo4YfM8Y9KIGHR4Dk6ljTb0PHRQFoQ2ndNoSTTj+zMjLy8Pnn3+OgoIC\nXLlyBW5ubnj77bcbDf5XIwgCysvL4eHhgfLycpw4cQLnz59HZWUlSktLcenSJVgslgb30atbAPHZ\n7t9fWnYZXkq09etehuhRotfsSIrUdHwhC3VG5e1RbJSTClxxJRNzX/CU38bvdCHjOy0FsnMLVUJq\neUT8lzv5w6WNHHQeotjwUmmO3oK8nzqxYjr5M28kj8fr5fOl1LF3ZllzdLaR5+ChiFcsU6Vf0QkU\nnAVRMzIJPcEEAAAgAElEQVTUKRffAAIHHUUDAlcngwxTo5HRHA+V/4/olVl72ZpZQzorWXS6WfQu\nGecIAMFjokBRwJ4P5aw7EeMmYPRIRRYanSoGUqdIEKAjgy6VmWDqeAc18TdCsUDOKVEwznl5GYQa\n56Q9O1cCHAgBSXHyvaTWHClW8frBktoez8lxj4IqXpfm5Tl7depBymYBUyUW+mb06nN3LIQExT2o\n06s0R1s7ao7anKPGgyA7OxsHDhyQ4hlHjhyJ8PBwXL9+HR9++CHKysowZMgQvPTSS0S/6upqXL16\nFbm5ucjLy4PFYoHZbAbLstDr9WBZVtMOf0GwDhJ51yaTr7+t5cm/G4tzDIqMwmiVVspWoENJzxAF\no5LZ85Zj765YTXtsDppw1GhvqqurceDAAYSFheGpp57CunXrYLfbkZmZiZ07d6KyshL5+fmw2WzY\nsGEDBEEAx3Gw2+2wWq0oLS1tciknjZ83UUODsOk/+7Hgd3JA++YvP0RY9FQAwI5P1+DlhSultl17\nViJsXMvNnIyu4TjHzgiRIUdBZ3MU6vRQlPjXCdGE48+EL774AjRNw8fHB2vWrMH58+dRVFSExx9/\nHAkJCRgyZAjMZjPS0tLadRy9e0dIy7bwbkTb0MGy5jlZT956QegBd4hmWB+arB5iZGQzD68qilfN\n5sn7Fy4Tbb7G29JyVjfS5HrdKJuqKj3JuVjOJj/gdAZSIzI62eDpKZrAfHVkm48gO7c4qZwaBKPs\nTMO6kMcj6wiqzKp62ZSqjj9z4mSHHAaOHzA2VcylMoG5XVV3kreXIahvX/BcJbb/9wbQFA1e4BE9\nPByjBwWLY7LasXfPKtmzNCgGo0dFQ5qkbCAMVu0rQ1EAz7GgaQGMujShwIGmRW1SLSeVKeoEVQFq\nXnFvKU3WAEArHE9QT2YZaf9qDVngQdU4AdF2BryNleo7KmsqCiwLSmGWl5KVowGHnvpQOOGo73ml\n2ZpWOOeIx2BBs+L3q65XySniOHnV748zKhxynHuQx7M1r9Rbc9CSAGi0O2azGYIg4J///CeuXbsm\nra81gykD7jU0GiNkwAgEB5LluWof0UEjIjAqagLR1pqKirWlqF5dIsc5blm9CpExExro1bGEBY/H\nrn/EYu4f5THv2r1SSu6t0UQ0s6pGezN16lTk5eXB1dUVvr6+qKiogIuLC3r16tV454eQzJtXkXL1\nInhUgeMFhA0agG59G+/Xmcg6n4KUM8dB60Rvx3D/sQgfENB4x58ZQZFRuJR7Fn+cNkXyVp305PRO\nm1cVEHOXAsDuj1eDNojls8LDJ8IU0HnHXB/ZZ5OQlhMPPSuA4zlEjH4MY7r0aLxjW6GZVTXam969\ne2P5ctHdvbKyEnfv3pVCNyiKcuhI0frjRhCf7WNkc2Lg4J+Itmco2cwaSI8l2ryMozDAUzTtcO69\niTZlDBZjtyLjciZS7pnx6gsbwFSIptpN/9mPULo7gvrLNQf1rGx7Y2gyEYGTh+zJettImq3Mdrmf\nXhVX6am3oZ+rGJ82BGqvWjmOU28gX0o4Z4VZ1dmA7NxkpJw7ifkvLYFQY1bd+elq0ByHoOHh8n50\nsumUVnnx0g3kaeMoAbba3HoCaT4sp2QP30pVvSdXu2x+1llIj2KdWTbxshYnoo1zVpgWOccPO3Ul\nEwpAdkoiiu8XYP+330nrt6yORU5KohT7yKueVKxO3g9vUJlVDfJYeJXHJs/In2nesVutuioHzfJS\ntY9ak2Tg8EgEDo+EoDieYFedH9vA705hY6ZUaQNpWvZErhPnqNy2gULZgsr7Vmm+FHQUss8kIfVU\nPOb9YQloq3i+Ow6sha6/P0KGhsgdyxyfQmsRKM2sqvEAcXNzwyOPiKWHWJZFr169flaepskXkvHq\nf5FVvV+b/BI+/PpvhHDszKTmJCAicDx2/nMdGJ0eHM8iPDAGqak/EMLxl0BKQjwix8dg65rVUnLx\nMTExSE5IqJMYQKPtSMuKx7yXlhDr5r/4Dj7avYQUju0JjQZz8bYGnuexePFieHt7Y/HixaisrMTG\njRtRWFgIHx8fvPHGGw3GfmvC8WeOk5MTnJycGt+wGSjjF22hPkRbwCBZW3xBldTapJ8sLeu6ke7u\nti49UTVQdGhR1wpUwpjtEDy8YPYVtTSjImbQaPSFk6uceadPpex0w6sSLRso2VnHx4mMESxTaJIq\npQS+NI2AGk1vBE+an7oysmCmnMlzVzrh8EYdCkrvIfnMMcybJc9Z7dy/GsWl9yAovTeb6LGpdrph\nIcBcs86sqvXoLMjnWwrSUcmTy5eW3aw9iTbGImv+ypqCAMDZ5EcJxzekOdb9XJB3FynxcXh9mXwt\nNq+ORUFenuSkw6o0TppR1M5kHMc58mrvUaU2pYpzpBQOLOqrTnEcGKt4P6kz8HC8rMmptSClY4+6\nTWkRoQ1k9iNlsnGGJbVKSqEtUjoynlZg9OBrEuerz51wVDIwoA168IZ67i+jM1gX97rr2wMK7WZW\n/fbbb9GnTx+YzaLT0uHDh+Hv748nn3wShw8fxuHDh/G73/3OYf/OmdROo80oKCjAvXv3OnoYbUp9\n9esAgFMHdXdibt+9Vuetfd5LS3D73o2OGVAHcvvaNSx6dymx7tUlS3FLy8nbrjj6HbUmZrW5CHTz\n/ppKUVERsrOzERMTI00pZWRkYOxYcTpn3LhxSE9Pb3Afmub4M0YQBFRUVKCqqqrxjTuIjCtZSLqQ\nCrfzPVB6rxrh/mPhHz6uwT711a/b/OWHGDsksJ1H23b07TUIO/evJgTkzo9j0bfHgI4bVDuTk5aI\nzJSjYHQMOFZMEdfvVzHoO2gwtq6JJTTHTbGr0G+gqIlnJCXixI9yPceIceMxytR4Pcec04nIPPEf\nKUF6uP9YRPT1a7RfS8k+m4TUUwlSiEtY4HgEj4hovGMHERYSg1Xr58C3e1/oQIPjOOQV3MJzEc88\nuEG0k7fq/v378eKLL0paIyDmgfbyEsOhPD09UVbW8GRqk4Qjx3EICQlBnz598NVXX6G4uBi//e1v\ncfPmTQwYMACHDh2SDjpr1ixkZWVhzZo1mDp1Km7cuIFBgwZh8+bNWLRoEQBg0aJFCA0NrZOpRaNt\nuX79Ouz21lf87uZCOsjYTQOk5cFDyLnMpxk5wXcAQ7q1Mz3GS8tVffogOzcJKXcvYP7C9+FrcsOt\nWzbs2b0Ktp7ORJ5OZc1GvorBqKjxYN0N2P4/H0Bv5cHzPMLCf4XAbgMJ46KLIiVXHzPpdKPnZccM\nX9wn2iopeVt1/GBPwQNBfB9xn9QQos3ZOFgepysZ48m6KmohGhh0694bYSEx2PXPdWAoGhzPITxs\nIjKTfmhy4mxeEfDGgTQ72gUBZgdOWGWUbG6uFsg4OasgXzNXVUozyi5fF0qd+LsRf6+ctESknjiK\nRUvkl4Ed62PR3c2AHj17ImLceGxZs0byVo2aMAFJ8QlIT0xEUlxcTQYdkW1rY2G30ggMr5mPrOdy\n5ZxORGrGUbz627ekddv/tR6GynIE18ynUZyq1iMnXxei7iMA2m6FrtpxWp6sc8lIO52A+TMV53dg\nLWiWQ6BfJABIjle1cE7ylADFk4nxaUaRUpAl0wYqHXk4A2neFvRGcDUmUc6ZnJ5Q1kIV9JSYdo8C\nKB0FATRACwBDgzfowRkbrtnaZrRgzjE3Nxe5ubnSZz8/P6JebWZmJjw8PDBw4EBiOyVNKdHXJOG4\nadMmjBw5EhUV4s2xfv16PP7443jrrbfw3nvvYf369Vi/fj3Onj2Lfv36Yc+ePZgxYwamThUzanTv\n3h2bN2/G3Llzodfr27R2oIZjTpw4ITnmdEZSsxMw//fvEutmz1mGvf9oPIm1yT8KJv8oGIoVD/eC\nh8d8HBYSg9SMo5g7a5kUHL7zo1WIGt22JcQ6C2knj2Lum8ugjGCfv3gpPt+8HhHjxiNZNee4KXYV\nxsRMQHJ8PF5ZshTKtKQL31mKravXysKxvuNlxGHurGVAoSzgFzy/GLs/WSUJx7Yk9fQxLHj+bSKt\n7PwX38Guz9ZLwrGzkZ5+FEuX7AFAetV+tHUZgh6UxtsC4agWhmouXryIzMxMZGdnw263w2w2Y8uW\nLfD09ERpaSm8vLxQUlICT09Ph/sAmiAcf/rpJ3z77bd499138eGHHwIAjhw5gmPHjgEAXnrpJYwb\nNw7r16+HTqdDVVVVnWK2Pj4+iI6Oxv79+/Hyyy83evIabUNBQQH69+/f+IYdBMMwyM5NQmp2Ajzj\nnVFcbEVo6AQxifXPnNo4uT3/WC1pjhEhExDUt/VlxDojjtKtMQwjeaSqNcegyCiknThRb7/G7hGH\nx2un2oEO08k1M+H/g8ThNXrQv7821pVmzJiBGTNmAADOnTuHI0eO4JVXXsGBAweQkJCA6dOn49ix\nYwgNDW1wP40KxzfeeAMbNmxAebkcF5afn48ePURPvR49eiA/X/RwGz58OFiWxdixY/G3v/2N2M9b\nb72FKVOmYNasWc07U40WIQhCnZeUlqIfPJr47DZMjo2bZCB//EHUGLlfN3JeqKpPH2nZ5mPE7dLb\nsF04jtlvrES/QQbcKrBhz+aVKCi4A2VRC2WpQp4jj8c6y+Yf1o18EzRY5VhDV1Vlg942OY7Miy8g\n2uwKUyOjimXsQvliEG0CALgYBhJtlPsAadnqTqZ6442Kmo013pUBgdEICIwmKjegqBpkR9l8Kag8\nUjnFZ7VZVahnXX3b2lT14jlBvk6CKj5SXTGkqQg8wLEsBB7gVZ6sLMuB4wFTRBRCokhNkOcB1s6C\nr6cfx3Lga+MpVX4lFC+AZ1lQvABKVQ+S5+xSNQzKTs7FU6zCCqGudmG3gjaLc1T1PTQFqwU6iwUs\nSM9wXhFLyetUgtJZ3lbQkXul7bK5VB1zSexfFcfJGfSwu4l9WVfy3uWNimvIUGAFrk7qPUD0DFan\nl2svmuto0xJqLZXTp0/Hxo0bER8fL4VyNESDV+Drr79G9+7dERgYiISEBIcHVppJN27cWO92AwcO\nRHh4OD777LOGB6TTYcCAAQ1u0xnw8vJqk3GazWYkJCRgypQprR9UDeXl5YiLi8OMGTMwaFDr4/7c\ne5Bza4b+srQaZSR/uL0ped7N4ErOVdq85DkWzkUHVxcaHh4M+vUxwNOVQb/uBri70KhyotGvm+KH\nrXwmk1MzoLsp8qD2IX/oTLXiV2cjXeVZTtao7QL5kOQUT1ta5dTvPnAAeseMAwDoGVIAwignQGBd\nyONxCiEu6NVJRBVj9iXb9H37yfuwkOdn5OVz8AFZLLfXwED8V8w81IezQnvyFsiHuTfkc3BhyFAO\nSpFzk3UlXf1ZF8X5OavCGQwCpk2ZjH/tWI3FK1ZJ69evXIppv56CnjXzsbV+GXt3bMeRL/4bOkaH\nkpJiXDqVg8/+92u534plmDplEvp2MdR7PNqTx7QnJuPz/1mLt+fJTlvrNq/ClOm/RvdAMcyGYsnv\nj+IV97Jq6seljycQIX4Xgl41l6c3Yio7BR8f34K33pATsq//+wr8+olJ6D3cBfWhzLVKqUKNlDl2\n1fl2lagD/V19DOg1smZcBvLxTiRLoChMmzYZBz9bjb+8tUoay/vvL8XU/5qM3iMUc5mnHR6+9bRz\n+riRI0di5Ejxgri5uWHp0qWN9JBpUDgmJSXhyJEj+Pbbb2GxWFBeXo7f//736NGjB+7duwdfX1/k\n5eWhe/fuTTrYO++8g2effVZyp60PlmVx48aNJp9ARzFgwIBWj/P27dtYsGAB3nzzzTY9540bNyIv\nLw8Mw2Dy5MlYuXJl451U9OwyQlrmYgYTbeOHyTGCQwXSDFjuJT/MqwaQgsWifACwNnj26I9hIY9h\n2Zql8PbQo6TKhpCoGJiTj+N2iUKDUSrAqiLnTLn8QDOUklqXoVR2oGCqSeEBixzfJ6gcTwRFvTyK\nIn8iLoaBKE2tyRzjQj4k7Z7yS4PVi9RUWQ/5AaDO6EJb5YeksZAci/PdW9KyrSSVaLvGpkjLuYq4\nTQAInvAHfB+/CwDAqRRIH8jaxhCBTJA+iBouLXs7BRNtgrc8bosP+d3auiniDj3JBzblCvgOjcCw\nUhZLlywFTTPgeQ6h0eMxKjQSt0vF600zwMG9u/DD/36JvV/9RwpDfCEmEk9PnYpRQWHgOQ6hj46H\n7+AI3Myvud6qQjL6Qhv6uAVhZF8Lli95V/IejfCLxlCLLwqTb4gbVucT/QRVEm8l3ccF4f7JS+IH\nZ5WzlUsXDMJglHQpxvIlS0DTNHieR/joR9HXPQh3Loj3ZR1tTHmZ1KUllb8VtXBUCESeIb/cPm48\nbt8RtWXOWWVNUGqONOA7MBzDSuxYtnIpaEGslRkSFoM+niH46XLDtVrbDFoQ/zohDQrHtWvXYu3a\ntQCAY8eO4YMPPsCnn36Kt956C/v378df//pX7N+/H9OnT2/SwYYNG4aRI0fiq6++QlhYWOtH/5Bh\nNpvxww8/4NKlS7hz5w7u3buH6dOnY9y4cW12jNoixQUFBZ3e8YnjWJhComEKiUZ/Xz1uFYsCJeNk\nfAePTKM9MIVGI+SxMQ1u88OR/8Her/5DrPs8Lhmzp0/By2+8La1jq9U96xI4agwie44kV5bl179x\nGxD8SCgCgmKIdY4Nop2DgKBoBARFg1K+gBa2zXRMk6DQ5nOObUWzDMu1D9vFixfjN7/5Dfbt2yeF\ncjSlHwC8++67CAx8eOLR2gKO47Bz50588803GDlyJPr164cpU6bA399fmrttK27duoWKigrcvHmz\nUzsDAEDomBjs2bQSs19bLq3b9beVCH9Uq2zwsJJzOhGpZ+Kl2MLQiBiYHm168V9HtR07+73cGrLP\nJCEtK/6hiY9sU9oxfVxrabJwHDt2rGQO9fb2xo8//tikfgMGDMDp07LR2t/fH5w6RupnDM/zWLp0\nKcrLy7F//374+Pg03qkVHDt2DFeuXIHJZEJOTk7Ld9RTLnHh3Yu0W4VBnk/rqSfNqvauspOKrZtq\nrkUxTUU7CQiKjgJtAPbtWIUurgaUVNkQMW5inTAOZbge1YAFpk4cmbPjvImUIj6stv6d1Kbcp8ox\nQ3DyAu8pniOnSrFV6wgBAJzaGUJpSlXPsShOSh3jKCji3WiKNOM6Q76+niDbjKDhWfvzVh3OU5D3\n6Q4y/ZgTJTs1qVOT8TrFvKLauQQ1gjH9KF5+fYW0bs/2lYABMIWI3ylnJfvxHAW2Zh1FA6yNg90i\nflb6//AsD86iSPCt+MqUZmkAUoJwsU1lKrXJ88tqMyrPyWZ4Sp1AjmeB2u1V9wutiJes6zyjvGaq\nNHd6Wrxmp+IxZ4H8grh7zyrwLkyTKnyo98kbaXAeTM3+VRsrn/bqaUzFboQHaXH6OQhHjZbx5Zdf\norS0FB988AFcXOqfmG9LfvrpJ/Tq1euhqd9oCouCKSwKfb0N0jyj0NltURr1kpYRh7l/Wkb41M5e\nsBz79sVKwrExJkx7GvOeeRw7v/hBWjfv2YmYMPXZNh5t56D2minF+5zZy7B3X+xDV/6qRVDQhOMv\nka+++grJycmYNm3aAxGM3377LUpLS3H37l1UVlY23qENybx5BclXL4DpchEczyLSLxrDBj7R7P3k\npCUi7ViclCosNDoG/qObbpbrbOScTkRaZjwopxozY+gEmBpJcPCw4jjWr+lxc8/9QfSwnf/cZMmx\nZeITz+KZ381vkzF2NtrimjWXU5knkZ4UR5q+R3bQPUkJDZuDOhBNOLYTCQkJOHbsGNzd3TF58uTG\nO7SSe/fu4cSJE8jIyEDv3r0bzRuoxk2vCnXwlV38+7mScYBDBNmTVe86FBnXziD1Vj7eeOINVNbk\nN93xz7WoGtSVMJHSTgrX9Xp++zlpiUg9fpSYg9zz95UQzJD2o66Pp3SHV0PGgJEmVopXhJXwjisQ\nqOPPOKMzbJ7e4rIqPRfnLB+PN9LIOZWItJx4zJm3TIon27NzJaADTIHydSHr7KnMqjpFLUuGHKeL\nXTaBdhFIE6iroIeP4Iz66CbI+/EC6a1qZBSemEZv1fkpKouoPC8FmgLHsxBoikj3BwC8jZM8jgV1\n1jk7Bd5MmvGefm4+nn5uPmH641XvepTCssmYVbUXrYo0cCzpNUwp4l0FVeyrcnBCCy2L6tAKpWep\n+rvlnWiwFAfeia5jAuUYHrxbzSDUmpXicx0LqAGotZTXl+8gJ+Mk0lOOYvarit/Y5pUAK//G1Kba\ndqUTm1U76bA6NxUVFbh27RoKCwsdbmOz2VBaWopevXqBUZfNaWPKy8uxdetWXLlyBcHBwfjpp58a\n79SGJF7OxGu/+gOxbv7v3kFGWvO8TtNOHMXcPy8j1s1+fTkyUh5O79X09KOYM1t1PvOWN/u6PCyE\nhkzA7r2riHW7d6xASMR4Bz00QsNisGcXGWq1e3v7XbP0xDjMfn05sW72qx14T9KQwzma8vcA0TTH\nZrJp0ybk5+fjD3/4AwwGA7p161bvduHh4UhISCAyZLQ1hw4dwt27d1FUVASz2YxevXohIyOjRfty\n0qu0Jw/5Ruyhuim9IHvY8s5dwRjcwTuLGogyKwdtYKD0E1Fqi+qK8BBqTExiahcCGgyoGp8HSlVp\nnbYr1QvVPmuufdaFVKScOS7Hu41+jCwo7KBietb5FKScPk5UdZgaNklKIq7WnnijIrGzjgKt10tv\n4YJiU1rHEJ+Vv0LOqMp44iRra3oDqcm52uX44u4cqVq5wxm9BHL7Wjwga5zuNFl3UmeQ98kbyXtC\nmYy6Pu2ido5s745Y0IwYNxcWNhEmv2igNjpAHSVgQ53Y1fqg1PeERf7eiXsADQfNEzchTTpNEXeB\nqg20DmBqNHGdKguOIimAoPK25RUJH9TZaAQ9EBAaDTDAvj3iNcv76QYECMjKPo70jDiERsXAFEqa\nPClFbKNaO6R0AmGhIY7HAzo9A0on1HG6oRlGugD1OVu1FxTVbuUcW40mHJtJeXk5kpOTMXPmTHzy\nyScoKCjA5s2b67ia2+128DzfrsIREBM1FBYWwmAwtEkFjpbAOqj/xjfTK7k96stlXUhF8uljWPgb\nuTrDtkPvAwApINX9zqcg5VQC5r8gZ1jZ/q916DrYBX3dm5b/tDPUy3vQmAKixAe+RpMJCIpGQGQ0\nTmWeRBprx+xXloOqeUfa83dRq1QLyJbS6e7J5mqED9jiq9EAhYWFUu7YyspKSQDRNA0XFxf85S9/\nqTcGy8PDAwaDAbdu3cLhw4fbZWzXrl1DcXGxlEe1vQWxI8YMD8fmr7cT63b+YxVCIptnGgqLnoBd\nf1OZ5f6+AiFhLTcxpZw5TghGAFj4m7eQeqb+hNa1iFUWFhPrFjz/Nk4kxTX52A5NZuGd38yYcf0c\ntny1Ddu/2YktX21DxpXMjh7Sz5705DjMfkVl8nx9OTKS6jd55qQnYveHq7Bv01rs/nAVctISGz1G\naPQE7P5Q9Rvb2IH3JN3MvweIpjk64ObNm8jJyQHHcUhMTMSoUaNw48YNZGdnw2g0QhAEODk5wWKp\nP82SwWDAjBkz8Omnn+LYsWMoKirCrFmz2ixrjdlsRlVVVZvFjDIqU5GglwWturKbThm7RTMIfiQU\nAk1jy7e7wKZ1FU2XoRMxWu2+r3hBlJJGS20UAoKjIfDA3o0Ks1zERAQ+EgXUxLIx1eSbL6Oo00jb\nVDX4OA56UGDs9jqOEgxFSeY3dZtA0aAZPQSKrmNiYhidFE9ZJ25NGb/IAKbgaIAG9u6NBa0Xzyc8\naiIC1NdFYW4TVIncOWfZqUavSlvmZJVzn3ryZMoYF7jBB6TJVGqjZHOrk74X2ejkg4yrp5B44woW\nviDPl275ciNs3j5ybUJVrCbhGKXyc2nIaYqyC6Crmv9SR9kdp1cTCCcY8u4V9Ir4VvVOlQ45arOq\n3g2CizidwDmrnNcUdRnr1FA0kDUUCZTTDAzA6HSS1ZfSydeMMdCgDfJnmhGQnZqI9KSjmPdX+Tva\n+f4q9PDUofeo+rOPCTyFoDFRoBlg35ZVUhq/8LET4a/wVq1NjP8goCih7hRLJ0ETjg44fvw4zp49\nC4PBgOLiYhw+fBi9e/dGeHg43Nzc4OHhAZ7nkZOTg0ceeaReoTd8+HCMHTsWP/zwA1JTU1FaWoq5\nc+fCzc2tniM2jXv37uH//u//cP36dZw9e7Y1p9imhAwJRsiQYFQ8Iic6b4nYNoVGw3+ESnhUtvzH\n48iMxDWiZTvu17yzMgVGwxQYXTcguxOTdCkDr035E5H67JWn38Cm73d22tqEPwccmjzreQFOOxGH\neX8hnb3mvbUM/9qyDs87EI61mMKj4B+kqoBS5WDj9oZ6SHOr/lI5fPgwLl26hIyMDPj5+eHGjRsI\nCwtDZGQknnzySVAUhQEDBqBnz56N7mvSpEkoLCxEcnIyEhMTUVZWBh8fHzz//PPNzpZz6NAh5OTk\n4Ny5czCbzbDZbI13ekBkXMlE8vkUcD7dwHEcwoLHY7Rv44V7c9ISkXbiKLxdnVBcYRXjGtXCsRVE\njHoUW7/4AAufk02rW/69AWP8HSe/B4Bw/7HY/q91mP+iXIx5+z/XYNpT01o1nlNZJ5GeqooxG9W5\n5ugc1fN74HX+fmE4SqcYMa5uOkV1fGR2aiLSjsfhQnYqyiyxCHsspsFi0E0h53Qi0jLicPOn9Fbt\npyE0zbGTU15ejpUrV8LPzw8xMTG4fPkyTp48CQA4c+YMfHx8MGDAgCYnWFczY8YM3LhxA2fPnsWJ\nEyfg4uKC/Px8TJ48GY8++mjjO4CYUPzixYtITk5u0Rga3T9PvrUKdtnopHYmtAryGk9bFTKu5iD5\nYhpe+/UcVAwREz3v/HQ1ODeaiHPklWZICshJP4n0xKOY/fpy9OtiwM18G/ZsWQmhDDCZ5H5MlTw2\nXTVpxtaZ5c91UoUBCB0wGrTdih2H3gNNMeAFDtEjxiBocBBQM39cJ5MWTSF4RDgoCNj5+XrJyzXS\nFIBKuMcAACAASURBVIOI0Gj8dKnmOOo0cAo7XZ0adTox+Dot9SjmqGPMBDnGjDeqzKoK71XOiTTn\nMUbZs9SFJ8/dSLnV8UStxaAotcXoyThHweAOltJBMLiDM6jiOCHU8caUO8qLau9RpRdxnThVOw/a\nXKMZqa4ZYbptoKxRXa9hRY1PnrTSCAoBT3OqSvDK2ouqslSckyvsXuL1Zp3IKQhlOTLORTUWZ4WJ\nV2WppfTkcmBkNCgdsG9bLGg9DZ7jEDFuIoLGjIHyAtOMAF5gQesEUBSQnZKI9BNxWPD2Unz29/WY\n8fpi7FgfC4YREBghC0ilYkqpzeKKr1WgKTFGNyMOc15ehh8TyNq8bQlF1x+P2RnQhCNE55mBAwci\nNTUV586dq+NgM2LECPzpT39q1TGcFD+o6upqJCYmwm63Izk5GXq9Hk5OThg3bhxGjBhRb//du3c/\n8PjFppJ0MR2v/XoOsW7e75dgx+H36uRJVVJvzNUry7Hvw1hCOLaW4KEhCBpGeqY25V01aEQETP5t\nN456HS5eXY69m2IbvE4PmloHq3kvymPd+u/3ERb5qw4c1S8DU2g0TKHRxJxjfXdr+GPjseO9WCxY\nvBSpx+Ixf/FSbF+3Ck9MFevCzl+8FDvfX00Ix+aQnnEUc15e1viGrUXLkNP5WbBgAT744ANcvnyZ\nyEtKURS6desGg0HtltI8DAYDKIqCoMiinZaWJi07OTnh8uXL8Pb2xgsvvIDBg+UaigkJCbh48SIu\nXbrUqjE0hF1VA0hXLr9ZFnDky0I+fUda9qm6DYarhFAl1hM0lvSR92GjoCtVVKtnlXGAAMPpINTm\nenYRQJWL10ZnB3RlsnONrkJ2utGr0uLRFnmyRJ1AXIlAk5N+vKH+7DHitvL5Us1I4EA46Ki6EQ4X\n6iQqekbSImqdNnKyTyI9LQ56GyVVahjTg3xxYgyy5sOwpAaoo13hpKu/4gutzLSjJ7UnQW9E8IhI\nCDo9tn+5UUrhFmmKwehRUQ5fKojCvawq7lChLVKq+TOK50HbRZVGnThe+XTiaxyjak19jE40S4eF\nxMA0mhQAdkVWIXXBX85ZofU14CikdsRinY2wdBWvFe+kSkavdKgyqpy0lLed+mmr/KwSEEptSq1Z\n0QwQHBUFigZ2fbAap9KTseuD1RgzYQIio6Nxt0r8vTA6huhLK+IjBd6x1QO0eK8+EO9QWgClzTl2\nbmiaxp///Gd8/fXXSExMlASXIAiwWCzIysrC5cuX8dvf/rZF++/WrRu8vLxQUlJSb7vFYkF2djbc\n3Nzg6+srCceioiIcPXoU2dnZLTuxBwDrwLmlMeeVThdz1c409Xxzsk8iPfUoZs9bDl2x+JKw85PV\nMA6qQPCwB1MHNWRoCPxDJhHrOiaKVibndCJSM45i7qxlUrzbrn2rAAEw+f8CknSrCIqMQvCYKOxY\nvxrz/7qkTntz44yVOLpX25r2mHO02WxYsWIF7HY7WJZFaGgoZsyYgUOHDiEuLg4eHuL0xIwZM2Ay\nmRzup5Naex88O3bswOnTpzFs2LA66d6Ki4tx8OBBVFW13KUrMjISw4cPb3S7/v37S4WgeZ7H9u3b\nkZ7efhPibcGYIaOx+YeDxLot/96AsKD6Y6dysk9i745VuF9wFwtffhynsk5Kbbt3rURoYOePA2wJ\ntQ4XSnZvrJsqLD0tDrPnkebXeTOXICX3JDobOWcSsfvj1dj3yTrs/sdq5JxuPNaupaRlxImCUcHc\nPy1DeuaDS32WfTYJuz+Kxb7967D7o9h2Pd+mEj52PLaviyXWbVu7CmGPtfx3FBo6Abv3rGp8w1ZC\n1WiOTf1rCgaDAcuXL8eGDRvwwQcfIDc3FxcuXABFUZg2bRref/99vP/++w0KRkDTHCV69OiBAwcO\nwGAwSE4vw4cPh7u7OwoLC9GzZ088//zzLd5///79MWTIENy4cQN5eXkOt+vatStGjBgBQRCwf/9+\nXL9+HVZr+1fmrraRicq7FMl6wk+VpFPDWc+70nI/cw4e6QFUW13wwfdb4OL8HXiBx9ihQfD3GQnk\nyZqyzcMV2bnJyMyOx/w/ig+57LNJ2LlpBU58fwBu+h6IChiL0L4moFQ28+oq5Tp7jLmcGAtll19Y\nKI703lXWYqRUcZwUrWwjTa4NpR8TKNlRpE48mPKdSv3LYgBTuBj3uG+rIsZs3EQEKJOQGwDGoJOc\nN5Rxj5ROD06RTF2nd1G0kd8RRTuB1tU43qiyfRPbNpQKrQEnGIoXkH0mCalZcZj3kqy17Ny/GpSN\nR+CoMfK2Cg1GHfNICfI6QWVVJRKyMxQYvU665oKiPiZl1IF3qd8bindW12WUp0fUYyETwKu6OTPI\nuJmK9HMJePn/KRyqtq0E7yHG6AJ1E+pThOlU1aZMA6fupxAEjWlWQZGi1rzjvdXwcjKizGLFmJiY\n5s038uSyaXQUwIsxujdupTns1lray1vVaBTvY5ZlwfM8XF3F+FbltFZjaMKxhqeeegpnz55FfLz8\nFtqvXz/88Y9/xKVLl6DT6VpddmrmzJm4efMm7t27V++XRNM03N3dkZCQgOTkZOTn5+P69eutOuaD\nwtSvL0z9+sLT63FpXX2BJqk5CZj/4jvSbzFw1Bjs2vAd/vX1esyY/GdxpbnzhKi0NabQ6DoPLXX9\nSsfm147JgOSItKx4QjACwLyXlmD3x2sI4dhWdLQZvlajV/5yZy9cjn07YyXh2FEERUYhKDIKvdyM\nyKsS596bIQfqxRQQBVNAVPt6q7aTcOR5Hn/961+Rn5+PSZMmoW/fvkhJScH333+P48ePY9CgQZg5\nc6YkNOtDE441UBRFmFP1ej3u3buHvXv3guM4zJgxo9XH0Ol0mDVrlpR1pz6Ki4vxxRdf4OLFi60+\nXmfEUYWS9q5c8jARGhGDPdtWYvZCWUPZ+dEqPDq6aWE/DwqH32U7xUPWVv1QelHu3rkCYRF14wDb\nA4e1F5tw7+ZknER6oqJOaVQzNbtGyEpOROqxeHg5G1FqtiBi3HgERnQeD2hHUFTzHXJyc3ORm5sr\nffbz84Ofnx+xDU3T2LBhA6qrq7FmzRrk5uZi0qRJePZZsWj2wYMH8cknn2D+fMd1Qn/2wvHf//43\nnnvuuUa3EwQBZrMcK2a323H37l2cPn0aAKQ8qq2lf//+eOKJJ8BxHFJSUog2nufbLY6xMayq2nZM\nkWxmLSvoQrSlu8tmzt40WQUkqEw2W7mxpGepvqwP6JJiuN6+Wddb1GyBc75YN1Jdg4+2ysej7OQ+\nlTX51D8xSpECTKgTZKaIP1O5AyprOPLqCgUMJZk6eYNjz0RKXdRBrxid2lqpaBIoiFoIBezbEQvG\nRovm17CJCPL1J7sx8gEpRnU9KYY4f7JJ3pZXpw1s4LpQClVEAEWmLlQotc3JIkSYqWn19VTGCFII\nCBUzDe35eDVog2iWDnt0IgLCox160dbxyiSU74Y9NgmMAKdjAY+6JlCBYUG7iiOot4ZiWiLSk49i\n7luyUN/1wSrQesAUJgpIpSdpc8lKTkRKghjn2MvViLtVVmxfFwuepySTKwAIiiKVdepqKg7PqONU\n25GWaI71CUNHuLi4IDAwEFevXiX6xMTE4L333muw789eOMbHxzdJOFIUVSe+Ua/XIzIyEkajEf36\n9WuzMYWHhyMvLw8syyIzM7NZdvCHndoYukVPvymt23z472LmmV/OZWiUgKBoBARFgylRPKgKKhx3\n6ADCgsZj5/7VqjnHWEQExrTbMU2maJhM0RCMjW/b1kgZbBRzjrs3rkD42IY117STRzH3TZUj0Z+X\nYc+HsZJwbA2px+Kx4O2lxLoFby/FjvWrCeHYGaEpgG5js2p5eTkYhoGrqytsNhvOnDmDZ599FqWl\npfDyEufh09LSGn2m/6yFY3l5Oa5fvw5BEBpN+F1aWgqWJec0HnnkEYwePRrh4eHo06ePg54tY/r0\n6ejfvz+6du2K/Px85OTktOn+OyshQ/4/e28eH0WVdo+fquolK0mAsBN2ZU06ZCVpliSI4zbqDK/f\nV/2NjksCCG7jAIoQyIKyCYoCIQFHfdWZ0VGZcdxNwpImSwcIiAoiGpEtbFkgIUnX8vujuqvuvZ10\nFpOAmMMnH7pruXVr6br1nDrPedRyT6/852UIHA9JkRE/zopJEyehYs/ZK9y7roXLOk/gjSrV1sHW\neZ2N8Anqe8XsN5ar7kOyhJiIJISPvXb8V/fvKYC9MA89A8y4UNOAoN59sOUlwhjfOh2WKM8D0C+h\nYz1hb6ENJTvzUVZciE0rMhEzNQEDpidq8/YW2pC95nlIooSYqQmtKiW2f08B9nyRC0EQNBvIXxuq\nqqqwYcMGyLIMRVEwZcoUTJgwAa+88grKy8vBcRyCg4ORkpLisZ1rdnCsr6/Hiy++iJiYmFZVwrDb\n7ZQDja+vL7777jucP38epaWl+P3vf49Jkzr2Rx8eHo7w8HAsW7asQ9vtCIg1FfqX43SC+eGeOs26\no9d5ap4g61TxdRdpBWxgvWpKbgkEIifR3qbc5XMQzh9qujMEBySzyksPxWsVg04fKkZaTCWbyUoK\nNCUpknZg3ox5gJGD5LQEU7wZCy6iGbKKAuBOm+0rtqGkIBezF6RCalDby16XBqUOlFsOpahkBTlK\nC0V9m6FVFYGuqtJsE57ad84KHxeH8HGM+IZNrierZLBmfRzffJUT4jsbKVK0NWPq7smOjNolNx6e\nbqPMXgB7SS5S/roUIb2N+LmyEZtfSEfM1CQq4vNIiXJQrd6Mitv2FEXS1/VwiyLpUACQJQX7imwo\n2pGHR55egqyVmZg1fzE2rchALy8TztU1omh7HiwxVjz0hFqPNGtlOiQHp/mtKmxVnAbV97ekKBdz\n735Gm5z1f5ngfJvOze4IdIYgJyQkpEnKdN68eW1q55rMc8zPz0dqaiqqqqrwwAMPtGqdwYMHIyBA\ndwtx1Ws8ePAgioqK8PHHH+Pjjz/u8L5+++23qKura3nBblxTaKqqQsqTS1Fa3HU5e93wDHtBHlKe\npPNNZz2VCntB62t6AkD0lERkraJzBrNWpSHK2v6orHhnPuYsVKnUmKkJ2LQiA3OeXoJdebko3pEP\nRVEQPVlvf/bCVNgLPF9b9uI8JD/C5Nf+aTGOHj3a7n62BJ5T2vTXlbimIkdZlrF161YcOXIEvXr1\nwmOPPQZvbw82YQTdOmTIEGpwvHjxIi5eVN/x+Pj4oKysDNXV1fj2228xefLkDnkH2djYiH/961/Y\ns+fqKyRbX39B++xbQb/rqjuuG2DvMzK+KT10arQatBn2SIcejQY5aGuzIEd/1NZ9BQAw8v7UPIHX\noz6eZ9JpyJw9E22FJnvpBtuSN92mgygbRhpHA7R5NGkcrXaOg+KjXjMcc2nxZrIGH5PPR/ywZYlT\n7bmaiBZ4COBIg+hGPdThWes1ST/2XFMKC9c0VkHSSrjVYSQiV5aN8ZQTqZDLMlSiwusRIinAAZq2\n49u/pwD2ojwIJmdVE0L1WWa3wV6Qq1vLWZMQFklTnqThNhsYUxEnp0AwCKrKtCAXPf3NuHCpAdHW\nJDdbNjbipNrkFETExYHnFeSsy9DyWyclJsHijOL2FdlQvENXsrIVNdxOLTjwnAGyqG44NMIKSeSw\nacVyfLu3CPUOCSlPLUZYpBVkPQFOESA1Oo81kzrNNSgQIKj/M6lUTRVz7yh0V+XoImRlZWHv3r0Y\nPHgwnnrqKRgMnnfv008/xY8//ohHHnkE3t7eTfqnTp48GYMHD4bJZMLZs2dx6dIlvPXWW0hM/GWi\nA0VRkJGRAVEUER0d7aZc7ca1DUn8bVnndQT27ylASWEukuctBeekWXNeTNPG/pJduUj5S6o2QG1+\nIR2KghbfCTaHkz+XQxRFpPwlFSG9TBqtevb0iZZXZhAeG++e36q4BsZczCJYBFeU6ankFJvzGR4T\nj/CYePzjledRXS8iPCbeLc+xpWvrSuTXclcgImwtrpnBUZIkVFRUYMCAAXj00UdbHBgBVXDz2muv\nYc6cOeA4zm1w5HkevXr1QnJystu6vXv3xqVLbDGn1oPjOGRkqJZP27Ztw+nTp1FeXt7u9rrxy7Hv\n4G6UlOWDM5s0U+vQmLbnFv7r9Szkffw+BIMASZSQdNud+H8PzaKWcVFts0l5/9pliI7umpy9XyPs\nRXlInsdUNXliKba+kg5FUZDyF5qmjpmchM0vpCFy0jQ1yrQmwRLZFsFTEzdtRYHSgbLqkp15mL0w\nlYpiZy9IRfaaTI+DY/TkRGStTqeo+axVabjt5ptwptaBrNXpmPVXIk92dRqi4z1fW1FRScjJTsej\nt+pK8o1/f44qgtDRuBJ0aWtxzQyO33//PS5evIiwsDD07NmzVesMHToUvXr1wrvvvou77roL06ZN\nQ2VlpWY6HhISgvHjx3dmtwEAt912G/bt23dVDY4OieBdaugX8sIp3VWiyo+mMg8K+tNpow/98FDN\n6W4/IxXaBm6gUolzsjo/UKHrEHpDr1uoWaK5QFSVkH17U7Ma/fVlRX+ajhV9dRWH7M2jrKwA9kM7\nkPx4mib+yNmQBjmQo26onAngnYwsXVZIpVLfeTULuR+9jy3/+Uybnnz7jeA54C7XAKkA4dHxgAJk\nr8kERIOaszdpOiwj4gEHQc826NSpcJn29iWt8xSJqWWpSIArB5QV5siknRtL1RLRAxMx8ES1DZml\n2ohFPVGsbioHntMqYLitRzKwHipF8IyoSJFVirVkVy4iJyXgwUdVUUr2ujQoEvTzyeqbyDcEPIf+\nA4ZjYswU5LyQiZ49TKi81Iho63TsLd5BUZ2e9H6etYAqdctxChSGY+d5QcvRdNNFKWourCJx2Lwq\nU6Nqo+JvQHTsFBw73wjZwWHzykxNVRsVNx1hYVYozktCYQrYCA0KJo6JA+9QsPmt5yDwPCRZRvx4\nK44bv/G0E78I3bRqF6CkpATnzp3Tor+GhgZs27YNZ8+eRVJSUpN1EgVBwLhx41BcXIwxY8YgNjYW\n33zzDSoqKvDTTz/h+PHjKCkpQVJSUqf2XZblTuX1u9Ey7CV5SJ7FRCVzl2Jrdkaboo3cDz9A9rbP\nQUYdOf/+DCl3/k4fHJ1wUWHiJeLcV16dN4qrAZ7s49hcYXuBSrFuWZepTUt5cily1rX+fEqSCEuk\nFZZIK4b0M+HYeXVkKS1smyDH8zaapjqbm07CEh3v9k5Vmxdldbe0awVjbwmNx6TeY6lpx4923uDY\nHTl2AU6dOoUTJ07g4MGDWLt2Laqrq/Hdd9/hzJkzqK+vx5gxY3D+/HmYTCb4++vijNmzZyMnJwdZ\nWVkYMmQI7rvvPhw/fhw//fQTRFFERUUFPv/8c8yYMcPD1tuPzZs34/vvv9eMcrtxZdBsLlobrdAE\nQ9PLt7WdzkDpj19j95EyCAZvSLKEuOsiEDF2yi9qc9/Xu1G8bzsEwQBJFhFtSei08lFRkxKR83Ia\nVTA6e90yxExT6cLstekatSoIBmx+IQ0xk2kqsS3nQUv6f1zf3ua1yxDbQtJ/W+AqWjzrrzQ9GjP5\nBg9rXTvoHhy7AHfeeSeqqqogSRJqamrg5+eH8PBwXLhwAWfOnMEXX3wBWZaxfft2LF++XIvUBEHA\n7Nmz8fnnn2P79u145ZVXAKhlTxobG7F//374+/vj7Nmz+MMf/qCpXx0OBy5fvox169bh97//fbvp\n1+PHj0OWZcor8GqAgSgOrDDVLvhanXKVztPGvZWEKvSYgX7S9zbr7Zg4mqqdiMuohKqQ9VFoqtaH\nqq5BV5+QfYO1zw1BdD5mY6BOpUr+9KWuECwrZ3Ragzk3S9ZFVgQRvA9ZPUHRchhZT0iOUyBJUpM0\nkSTJkJzqQpdiUNsGQXEZaunHe+MlPc1HqKepaBCVVBQHnVOqyA2QxYvOPvugtPxb7D5yAI/d8P+0\nY/jSZ/8HCCZEjtBL9/CS/pAmOGglskIM/JzIYd/XhSguy8ecexdp8zb933IoPEcbj1MFM5h95zjd\nPo65GykMmeKKhLa+kgHe4LSPi5+u5YUqEpCzVqUZ9xTtQPITqQgLtVLKTLlBguJioJlIiiOpYQMQ\nNt4KNAJb1mUgKNCEyppGRE+ajtBwK2Ty0FBi3Lbd6F0inew1OgUaM3U6wibGa9Qtm5NI0b8sNSwC\ncnM1v4n1OEZkztfrB0No7PwqQNp2uwfHzseoUaOQlpaGyspKBAcHa1Lzbdu2YefOncjNzUVjYyNq\namrwt7/9DQ899BC1/owZMzB8+HC8/vrrKCsrQ2OjfiMvKCjAkSNHcPjwYYwePRqKoiAiIgJ///vf\n0dDQgMGDB7erz3V1dXA4HDh16hSqqqrav/Pd+MXoqChh+m13IvmOG7Hl3/o7x4d/PwNJt/2xw/ra\nHuz+/is8dgNdqPvxG/+El/PeowbHtqB4/3bMuXcRNW3On55F1tvPd0pVDkAdIMMirE1mp1iirLBE\nWQEFmBg7BfaCXFgsOrWY/VLbTcpdNn5DBpnwU0XnVIsJj413c6+RHc0sfI2BQ/fg2CUwGo3o06cP\nNe2OO+7AhQsXUFRUhJMnT6K2thZBQUFYs2YNBgwYgPDwcIwYMQImkwkjR47EwoULsWbNGthsNspO\nrqKiAhUVFSgvL4e/vz+GDh2KgoIChIaGoqKigsqRbA3sdju++OILHDhwAL179255hW50Klzvoba8\nnAHB6HyCnzy9zd6Xdz04C8fLf8BtUePAczxkRUbC727FXQ/M7oxutxqGZt5p857sZFpAR1HRnQHt\nfL6i5xZGx6uilK7AviIbSnbmwWAUNPs2V5Sopm/kg3datMVMaZ2127UI1Vv1SveiaVxTg2NzeOCB\nB1BVVQWe53H06FGUlqqVJIKCglBYWIiAgAD4+flh8uTJiI2NRXJyMkRRbLKs1M8//wxApVUBwM/P\nr81S50OHDuG9995DbW0tevXqpbXZGTDyRvgIKodIUqUAwPP66ec5+lKgCumaaKUnmdTNifRTn9So\n3xgvO+jt1Zj0J+/LPM1pKVAgOTkingkLBNIUwJtRpAbp3xt70hSv2JOgAZmybWSSvsvCK3JaHCKn\nMREP+1TLudOpLsgSh33FNnh5+2Hbbl3EkLU6HXsKdmv5dnItfTcQqnVuzFRFuyUZLhL0c10FNU9q\nPKN/lmijBlmphyipbISgNEIU6yCLzu/E8ZWlRkDUeTjOoVfp4Iz0e3BOJFSuggBJFPVCxeS2GQUs\nXUSYGYx5omi0p7skq9jkmp/noiPDJlgRNpoedLg64rw3Nh+xuClnGwHOKQ5m1aN0UWYF+4ptKN6Z\ni9nzU8E7Fc2bVmZoyxRtz8Ocp5doeYibVmZAFnnNFEDdB6JNhuWkaFV2F0QAzbCitLkEY28oETvV\nhXVDBSgQrtKKAx4fG+vr6xETEwOLxYKxY8fimWdUz72SkhJER0cjPDwcUVFRsNvt2joPPvggLBYL\nPvroIwBAeXk5eJ7X3uUBqsfd66+/3hn7o+Gbb77B4sWLsXv3bnAch8cffxz33nsvbr/9dtxwww2w\nWq3o06cPjhw5ApvNhs8++wxvvfUW0tLSUF9fjyFDhrQY0YWHh+P666+nKNiWoCgK3nnnHRQXF4Pj\nuA43NO/GlUXJzjwqdxEAZs9PRamt4xSO7cGkEWPwcu6/qWkvfv53TBo1sd1txoRNxca3n6embfq/\nTESF//rMqjsSTVkDzlm4BMU781G8Ix9znl7iNq+kjZZ01wp+tfZxXl5eyM/Ph4+PD0RRhNVqRUFB\nAZYsWYKMjAzceOON+OSTT7BgwQLk5+fj4MGDCAkJQU5ODu655x7ccsstAIA+ffpg/fr1mDVrFoxG\nY6uMwH8pxowZA4vFgldffRW5ubm4++67MXnyZEyerCZ119fX4+uvv0ZxcTEqKipw4sQJfPvtt+A4\nDoqiYMiQIQgJCcG5c+ea3caePXtQVVWFw4cPIyUlpVXvHt944w2cOHECFosFFy5caJcQx8zkrfUM\nHKV95gJoUYpXzxAEjFKfSDnWMoOQi3MOWjxDPQ0zSlq5h/5dYSIyo1lvx8wIcsjKgd4KHR0aYYQv\n1AjVi6Mpat6sU+WiX/OiGzJSBAC+h76/Bm8mJ9H5RO8qEutK2I+ZmkBRqTJr0KzoNQLdbL0kDjyM\nkOp5+ukeAOcwQK7hsH9vAUp35KrqTqfRQPQgfYAyVzJG7pdO6fvXcIqa1yDpy4oyHXFKSj0aZTVS\nNEJC2OB+kOQ6rM/9F4yCL2RFQdzwsYgMGQ4QdTc5UT9LvIM+77xRv+5kWcHE0bGArCDr7yvAmYyQ\nZRmxExMRFspE31RkpX4u22+DvTQXQb3NuHChAVFRSer7Qmq9Zj6DqXLPBjqk8KSBOe+XCQu8RiaP\nk4ieZIGpZSmawDvXZXM8yTqesoEDzxu064YkQdji0KShuJrXSMwjP7PCIfLaYtMzZHexTVlZAewl\neRB4QTVDiErCxLEe3gl3YVpZZ5Ss6ii0SKv6+Kg3n8bGRkiShKCgIPTr1w/V1ao6rqqqCgMHDlQb\nMxhQW1uLhgY6rg8ODobVasXrr7+Ohx9+uKP3oUlwHIeZM2ciMjISr776KjZu3Ih58+Zh+HC1MoSX\nlxciIiIQEREBSZLw3nvvoaSkBHv27EFBQQHOnTuHioqKFrYCHD16FOfPn8cHH3yAxx57zOOy77//\nPsrKylBeXg6TyYT+/ft3qjVTNzyDLBLrwsbnM6DIaHeVdk+2cPv3qvZnsx/Ut7d5azoMNQ2Y2AVl\nniYOGY6JQ4bDKPRqeeHWtjl2EiaOnQTZizBVaGGdsv02lNhzkfJwKgYPN+HYsUbkZKcDBsAS/ut/\n99bcNSBJUrM1S+VW5DW2B2VlBbAX56o5vE4KPCc7HbyodFrKTVsggPZ6uJrQ4iOCLMuwWCzo27cv\nEhISMG7cOKxYsQJPPfUUQkJCMH/+fDz33HMAgNGjR0MURUydOhVz586l2lmwYAHWrFnT5YPBjMjY\nKAAAIABJREFU0KFDsWTJEgwaNAirV69GTU2N2zKCIOCuu+5CZGQkIiIiwPM8Dh06hMrK1pVqmTBh\nAh588EGPy9TU1GDfvn0oKyvD2LFjMXbsWBw5cqRd+9QNd+z7aje2bEzH3zY/h+WpyViemoxX1z+H\nnHXpKLO7vzsG3IvE7i20geM4bF6diaxVmdhX1PR6nhBlTUT2ujRqWvaLyxAZk6Dan81lqjw8lIqS\nAzvbvJ1fM+yl6sBIIjklFaUl10ZFkujJSdi8hq7CseyxZJw+/jPOnD6J5NtvpK6tTSvSEGXtnALR\nTZpbpKTCvufqONbcr5VWBVR/UVdFihtvvBHbt29HZmYm1q9fjzvvvBPvvvsuHnroIXzxxRcAgHXr\n1jXZzrBhwxATE4O3337bc4cMBgwdOrTte9ICXnrpJWzfvh1nzpzBmDFjYDQa3ZZ5+umnUVFRgaNH\nj6K+vh4nTpxo1qli2rRp2uf+/ftrVTx8fHwwYsQI+PnR+XjFxcW46aabcN999+HixYu4dOkSbrrp\nplb330vQS0AYg/pT8+RAfV84b/rhY9LYCXhqoIsGZPKlROLZiJWOk82wj1CEmEXwoo+Pt1lnDQKM\n9BN0MKGM7KXQJS36D7PAO0nlaH0E2j6O89JpVYd/EDVP9DeiuHgXvjm2ExkrM1G8exd25qvX4rQZ\nSYiNn4yV6akY0MuAWCthAwcgyMeMQf5mKApQVFCAr3fvQGZmBtYsz8RfnlmClemp6OVlQkyc7q/q\nbzRgoK/zOLKXhggMnpqIPmYj3s1arhWM/f303yE2PB4/HNiFYf4CBBN9joJ68ggZqn7m+3lR82RR\nz+N0yPQ8kVBqsHUS/YaGoF+CGhkYOHo9gSOqnAgML27Q5ylG+hzJJr0d2cjkjRKUoVtdRoGgVXkg\nqLcZg4erFG1AoAEhTto1KMiEkMHEK4NmKl+4oSlRims1Bz2TcxBVTkSWFyc+M4Icvx48uMHq70w2\nMz8IMyFQMygYfEMC+vga8M+Nz0EwCPi5/Ef4GAWsz3kVAFBkK8DK9FQMGz4S/QcOxG233IToWNrD\nVxGJ7bOBKPmdeVUS6M+DG6j2U+GAnkEmhAxSv5NjS1BPEwYP02lzvlG/hxhCmP3rPL3gVR05tlqt\nGhAQgFtuuQWlpaUoKSnBl19+CQCYOXNmq6nSRYsWYebMmZg6dWqzy4ii2Gkeo3379sXSpUuRk5OD\nlJSUZlWmAwYMwNmzZ5GXl4dDhw7h9OnTTS6XlpbmNu26667DTTfdhDvuuEObduzYMWRlZeHkyZOo\nqamBt7c3Tp482aa+B5j0QcF3WAQ1zzGUuNn1oke5+fw9eOGDtwAAsoO+6OV64rKsY+4+5A+QvUr8\nCHVlAE2h9wzQVZNDvGm/zzGEOvZ6mab2gpJ6ojxXrZfZyxxGzRMCJ+jd7E8/1NQP8MV///sZkpNT\ncexcI/778WdIfkKNSl7dlI5BE6Jx7xPPYsvaDAwJj9TW4zigur4ep+rqIcscPvrsM8x5ejFO1jag\nsq4Rx2sacO8TzyJrRSYGjInR1hvkz+HYOVWA5V72R/2//+AY3PXHaGre8SP1qDzbgONH6mGqod8P\nXjx+EWdKVeWpUE3ficTLP2mfL4v0NXNZJkwAmJGaTxLwU56aa8m+wzULutDMYKJTn+ClD8ayN+1R\nLBI+uqIPPXBKZoJW9aJvdzJRikoxABcuNODYMfUYhvAcjp1QP1dWN+KnU4S4jWjGU9Utt3dyxHnh\na5n3ipf1hQ1MaSaySDOrqu1v4HH8e1XVK7KGEj2Id4fOd9v9R8fgrtExEMwKNq/OwKz5S3Diotqx\nwaFReOVfnyBr1XLc/Zgqcvy5ku6L3EA8UDC2ueT+QWIG/8EmHPvJeX3y9LEmTQ4qLzTi5x/1hoRa\n/Qfvdb7rcq6vZhMAj7TquXPntOT0y5cv44svvoDFYsHIkSOxY8cOAEBeXh6uu+66Vm3s+uuvx9ix\nY/Hhhx92iSiHhY+PD5YuXQovLy/k5OQ0marhQnBwMJ599lmMHj26Tdvo16+fJkRy4a233oLdboeX\nlxdGjRrV5oGxG55B5tsJRDUWlwBiX5ENewpt2Lx6BTY+n4m9hep5j52WgA3PZVDLbngunSoSywsd\n91wbHZ6ArDcyqWkb/rECsWNiO2wbvwa4qj+QyN6kUs/XIoRmKgSxAp3OQFPHenN2GqIiro5jLbTx\nrzVobGzEokWLMH/+fDz55JMaW3np0iVkZGTg8ccfR2ZmJmpraz224zFyPHXqFO6//37IsgxZlvGn\nP/0J06dPR3Z2NubOnYuGhgZ4e3sjOzvb40bIgfDZZ59FeHh4K3ez4+Hn56e9//zwww9x6tQpzJw5\ns8llBUFo0yDer18/DB06lKJsS0tLce7cOYiiiMOHD7e6LVaR6jNcj3okCx09DeivC4f6mulwpp//\nJVgGqpFvnUw/C11o1LdR10hvz+EgciAF+unbh8hX7OlFe1WFGPQn85Gg1Y4jZD1iGQha2evFByHQ\noIqlDF50eouDUKiyhYkVMwcJEhQzB8GoQFYc4I3qk6gsi9hfUoCSnXmIiIvH7AVPAwA2PJcBjgMm\nTlJpx00r1AFTkiTETkvChHC9SKzUKFNP8TADilPcydfST7yGi3rUbqijj4vx0iXE9x4Fr6FVyH5t\niaoclCVMuT4GUb2DgEq12rqj/ji1Xr2kn9s6+QI1r4EpJk1ChgTJWYJB4TyIPdiQjPiuMEn+MnEz\nl5nIiowWZbZosYmIgoxAWIwVMAJb/pap2rJVq9UuwqKZnESmKkezaEPgQRVwZoo5k8WkFSaZkZMV\n8E5Kls2PlBzE9eHFqpsVVaCj0OpUAJBEyb3iRgeCk4Hw0HhwCrA1RzdDiImZjrAJ8dRho9TpXahW\nFTgFQgdHjiaTCUuXLoXZbIYkSUhNTcWhQ4dQWlqK0NBQ3H777di2bRu2bduGe++9t9l2PA6OEyZM\nwN69e92mR0ZGori4uFUdHTp0KA4cOKB9Dw0NbZXjfGfC19cXCxYsQE5ODnbs2IFTp05h7ty5bpUx\nSkpKmqVUWQwdOhRjxoyhDrYsy/joo4+aPIbd6DhExSQiZ2MaZi9ORbQ1CZtfSAcUBfE3JKJ4Rz4U\nRUHsVP1Jee6iJdi4YjkmTorHxEnxCIu2asrViZPi4XCOa1mr0xAV17H1FSOui0L0wFH0xNrfHpNA\n2bKd6hxbtqsFrtqLc57WRUibVqQhpgMNzD3BEhYPSxijTL1KRPIcWqEKbQdchRxEUYQsy/D19UVp\naSmWLVsGQNWMLFu2rP2D47UMb29vPPbYYzh69CjWrl2LFStW4Mknn9SMxQHgq6++wk8//eShFRUB\nAQEYO3YsnnrqKWqA/e9//4sTJ9peNbwbbYPLeDpnnfp0fOb0cXAKh1LbTuwrtmH2gsWYOInO6xIY\nizNXFJm1MhNQDGoUOWU6JoT++lMLriWUlRbAbsvT8kSj4hO7zBLOrS8HbCgpzQPvY1T7EpuI8Knu\nfXEVLd68OlMTacVOa7s14bWIzhLkyLKMhQsXoqKiAjNmzMDgwYNRXV2NwEC1xmtAQICWjtgcfrOD\nowsjRozAvHnz8Nprr2HFihWIiIhAr169cP78eZSXl6Ourq7FNkJDQzFv3jxqYGxoaMCePXvana7R\nqw8tSnGM1SnKUYPpZPAoQv04kMnKH8qZkMCr06p5+gn9rEGn/s4y4hmq7ivTt54EOzQQNM05TNGp\n0/6gVadB3EDts6+RplUFYy+YfNR315IfrcYVvfQHFlbs4fplhUVZMXE6fbMxesuQRAnhsfFu9f5E\nSYLsTOZ3VcsIi7IiLMoKsU7fY5l2ZQNnViDUqMfbVEkfM+Ml/R2G4SJNgfKX9YR9ueEsNc8h6kYT\nl8Uz1Lx6Rf8BszSqTIhwDMx54CFA4NRpBo62/+N5/XhyAqNIJWwDZTMjuvE2E59pap9UcCpmmj4k\nk+Td7ji8WhWlqXkUrcopKLPbYN+di5SnUlUpJtQCxpBB1Wgkq3u4VQFpr5Gnoui2aoo6MBaX5mLW\ng6mQeqj7nrMxDfBi+uLspyXa6jF3lrW4JffdrVoJWWiZkfEqnHs1E21ZmfzMCHnkKyOKaevgyAH4\n+uuvKfOUcePGYdy4cdRyPM9j9erVqKurw/Lly3Hw4EG6nVa8LvvND46A6qYzc+ZMfPjhh8jNzcXF\nixdRX1/fKko1JiYGd955JxVxAsA//vEPfPvtt53V5W60EjFTE7BpRQbmLV6sTduwPB2xCV1DaXWj\n4+AqYEwi5cmlyFnbtoLUHYGS0jzMepDJ1XxkKba+2vV9+TVD4NS/tqCpwbA5+Pj4IDw8HD/88AMC\nAgJQVVWFwMBAVFZWtlgsontwdCIqKgoWiwU2mw2lpaWoqalBjx49PIpoBEFAcHBwkwKjqqoqnD17\ntom1mkcPIyGVH0ZHXcGD9MgjismTi5LViOzQsfPY++NFCDwPSZYxcdhA9EUvTFDUiKwWdBh0Hrpk\nu5qjo5JGIirxY6KS3koPvV9MdBjI69Ghl3EANU8g0wbMdJqAYuoB2V8V4ki+9EUrm/Xtuz35Ox94\n9+8tQOnePAgGAyRRRJQ1ERGT4xAaaYUkcdjwnJ53GDN1OsKi4iFpohu6TbIeHiu64X1FGJySfBND\nyxhqiKjvMu2uJDr08+cQaYu4RiI8bVAuUfPI6NDYRHSozePohzMj5wtfXj3eRgOdNkPa8cmMkbvo\nG6j3048xcvcnIkdfxgqNSKXkmBRiytOec5/HuZplhBkck+coGA1EREXk2hoFaptkZEWKgQBAIcRV\nsomJWTy9+uQ4ylaNVEiTERnPCdT7PFJw4xYdkt8ZZoOMHDkjsw9k+03202ld5ywKULbfBrs9FwKn\nWxZOvJ5WSAsNOlckXFYZkD1HSlH4zW58V9d6IWFbwaPjadWamhoIggBfX180Njbiq6++0tzStm/f\njjvuuAM7duxAVFSUx3a6B0cCRqMR06ZNw7Rp0/Duu+9i3759HpcPDQ3F7373O2pabW0tCgsLcfbs\nWe1m3BU4dOw8Dvx4FnOm6snEr+3Yg4EHvkZPD+tdC3DZss16mqwQnwbepCA8Jh7hMfGIjKffObI2\ns924+tGsNd8VEPhJUvM2gVcTyvbbUFKSi5TkVG2w3Lw1HVyjjPAJzfur7jlSit1f2/DoHY/j/VPv\ndlr/OuOdY1VVFTZs2ABZlqEoCqZMmYIJEyZg2LBhWLduHfLz8xEcHIwnn3zSYzu/ycFRURQsWrQI\nGRkZMDSTgzRmzBgcP35cM1tvCoGBgRg7diwA1Tfx73//Ow4dOoQTJ050mpFBc/jqx7O4ayqdk/nn\nqRH4cE8Zbgvxa2atawNN2bKlPLkUW19J18QQ3fj1I3pyEtL/kox+AwdrDMHpEz/jtv/5c9f3JTIR\nm19Np6jV7E3LEN0MXV9WYoPdlqv1O3pKoiYCI7Gv2IaSXXngXVGeNQmhlvbTtHa7OjCSmPVQKrbk\npHscHAu/2Y1H73i83dttLTpjcAwJCcHKlSvdpvv5+WHJkiVNrNE0fpODI8dxaGxsxLJly7Bo0SLN\nXJ3E+PHjMX78eLz44otNtuHj44ORI0eC4zjIsox169bh4MGDrVK3Ngf/4Ou1z+Iw+sn0el9d7DFB\n7kvNG8yNRBB/FoO5kRqV5oJZ+A69BDV/sAejLvFXdNFIvUInxPKEDMcXNM3pJ+iCGW/TUGoe56XT\nrLIPTeeJJp36U4w0RSibveHooca4sokRe7A1AMntiYDAGcCJcK+EwQmQXTZcTKRI5pxRVl0ApUYi\nHVUAgG+UYahVeVehlnESqdeFNWStRaCFChoEn2fg6ONCCm0EhlY18Pp1a+ID6XlCAMwmVfTEm4Op\nebK3fl5Ef5pXaOzhR8yj81QlPyIHknGdI7vNCR7oURacoi/PUq7EehyngOMVcDzACxw4DuB41//0\nNjnSro6heBUiB1MWW3/7UzhOr9TBqekR4ICc1zLBmQ1qMeXY6e7vGxV1YCzelUuVqspalQ6eVzSR\nDmdwFkguUGs9uqp6ZK1SE/ipSjHEgWoyT9I5mxMV529DPTaUO5AI7fUAAJgu6p7TQs0pGByXIdTQ\nwr/OwDVhH3etYdmyZcjIyEBaWhoWLlyInj31m4RLiNO3b1+txBarduzduzfGjBkDACgsLMSPP/74\niwbGXwqpGbXZb6HqR7MU1xXOp+1Gx6JkVx6WrlMNR8iHm+w1GVckLcISGg9LaDxkX8+ZeiUFuZj1\nVCrIJ7TZC1KRszaDUrAW78zHnIV0ZDN7QSo2r8ps9/61l/6Vuoge5sFB8Gice+VwTQ2OkiTh8uXL\n8Pb2btGayd/fH6mpqXjuueewcuVKPPLIIxgyZAgA4O2330ZFRQW8vLwgiqLbwAioBun+/mqF+qKi\noiuuTI0aHoKc7TY8kXinNm1D3me45X/+CJz3nM/T2Sj9fg8Kvy0Cb/SCJIuYNDYeE8d13M0sKiYR\nOZvSkDyfeOf44jLEJrWsSC0rtqF4Oy3kCR3drTZsLfbvKYC9MA+CST1+Qb2CUVV5Rs9DtCb9Ymq7\nrNiGkoJc7LcXYvOaDERPToSFcNPh+aZ/62WlBbDvIHIiYxIxcZSHOoadBEFo+jbL9ru5e1Zz+9ca\nREcmYvPWdMx6SKdWs17PQNyEKR7Xi7suAi99+ioe/53nakO/FO1Rq3YVrqnB8aeffsJDDz2EkJAQ\n9OjRAz169IDZbIbZbMaYMWOQmJhIVcvw8/PDokWLsHbtWqxatQqTJ0/GrbfeitraWpSVlaGxsXn5\nmutdpcPhQE1NTZMDaEvwM/agvjuG6HRp3z600nUCp1Ncg5UQal4PwxBMHj4EPkI/ZO8s1NSqU66P\ng9USjzM7VGGRQaIVjQZZ/+6yGtPmEZSd2UBTtaS9m+Q/kJrX6K/Te5K3F/Z+U4iinw7ikYeXa/To\npjefQ2NgAMLH6TUMZZMRoi/dPw2EStAtH0sCLKFWQAa2vJgBXhAgSyrFFTbRCsX54NxUYO2iu5Ln\n6YNqzktpUKr1uoK8W0FcQHDWK+UcNBWtEEWDJYY6VRT9CZ5nLNsE6NckedwBuoKGIPhT8ziDX5Of\nAQDmIHA9VGN90Yu5zvz076IvU+mDoFJlPyYiIrrGeznzDktykTI/FbxRHcSyVi3D7IVLtQExa3U6\neIOifWct1FRKVP3cFEVYVmxD8c5czJqfiuw16Uh5KhWbV6cDCgeLs023KIh3Doy7c/EweW43pKnX\ni+sdHntNeAoABQ6KSV3AreoISf82saqn6M2Vbsfx6nfXOMgRyl0FkmaJCDBqVaYvUBTNjJxvkDDx\n+lhwjTK25KTD6FAgyRLiQ6cgtv91AFFY21Ct2xY2XDqI0GDAUReIF/+zEkcEtmRPx0Hojhy7BsOH\nD8fnn3+OY8eOaX+VlZWorKzExx9/jJKSEvj5+WH06NFISkqCv7+/9pL2vffeQ1FREfbu3YuqqiqP\nAyPHcdpT3jvvvIOjR4921S56RMSQEYghPFivBhTv34FH7nmGmjbn/1uEzW+voAbHXwqLxYqwuLZF\nfC66i0zdSH58Kbasybgmiu52Nti8w5Jduch67wuVLnQOXLPnpyL7hcx2R48lu9SBEXDWSVydrg6U\nL2TAEhOPrNVpiLG6MwR2Wx6Sn1hKVbRInrsUW9dn6INjF8FlaUi/c0xDXGIStVzM1ARsfD6DKb6d\njugpvywnN3xCHMInxMFYQxyMqpZr1UYMGYGIISPwb/5ii8u2F93vHLsQRqMRI0aMoMpR1dfX4803\n38Tp06dx8eJFfPnll7Db7VoezL333ouZM2ciMTERH374IcrLy1FTU4OKioomt6EoCurr61FdXa2p\nU3/rKD2yB4WHCsF5+UKSJcSOn4yw8KkeqKKuMzduDq2lu34L2Pd1IYrLtoPzNmu5cKFEHcumwB4/\nV/UJ1/FzKS+bo0NbA7KihStSzH4hA/vtu5H9QgZip0xHWKT7wNvsue2CShgsXO8Ls9dkasxGzNTp\nCI9VKd59RTYU78yHYBBQcfI4lj06CwNChkKSJExKSEJoE/t3raA7crzC8PLy0mpOVldXo7i4GIcP\nH0ZdXR0qKyvxySefYNSoUejZsyfuv/9+iKKI9evX4/Dhw/juu++abPPChQtYuXLlLxoYA4Lp1Atp\nuE5fjPWhk/LHKcO1z70NtHG10axbsbF2YJzgA96kqhONDuZmJrurdF3gCQqPVKACgNhDV6s2BPVy\nUqf78cgDGRotl/V6Jur79ECjmUNDb/ftiAaOpvAMvGZJ5lLXNQnW9opY1q2YM8UGuf8AJYcEReLc\n6gEqoqgVyeVYUY/MgXPRZCydRzTEMdSpkdePJ8/RKlDSzo030qpTEMYQipmmR2VC/SuZ6PMu+vRA\nfW+nqYI3ozolai9KvgY1F+7bXUiZmwbZWcg5Z2Ma5ECOUl/yPvqx5o0KZIgQzE4KT1AgKyIEowwF\nIvaXFmjKy6xVyzFr/mJkrVSVl62NIhUZEB0iRSOGRcUjLCoeOWszkPykGmGx5w+ck8rk4HaHkyFp\nClaXfaC2vWYGVACQjRwkb+cDHZOUD1IRy469zkUtMfGInEIzJbwA7C20oXhnHuYuIhycnstA9JTJ\nWqqHxPweZFJdzVDRnKRXDSHVqABgPq+/quGrf6Tm1dbp9mrHpP10o6bWudG0B6oJwNU5OF75x/cu\nRkBAAGbMmIFHH30U8+fPR1BQEE6cOIGtW7dqCfsGgwFPPvkkhg8frrm7s6iursbRo0dRU1PT5Pzf\nEooP7MAj/0tTp7PvX4zSPXmIikxC9hamnlzO1VFPLsqaqHpzEshevwyRkYlXqEdXBvbSXKQ87G6F\nVlqU73G96CmJWqoBAMRMSUDy7TMQPTlBU15uWqHXx5y9MBX2As9tum1jchI2r2GunzVpiLJ6PkdR\n8YnIebGJcxt95a87EsU78ikaFVCrxhTv2H5lOtTFcEWOrf3rSvwmIsfmwPM8/P39sXPnTpw+fRqn\nTp3CE088AT8/P3Ach5tvvhmnTp3C/v37m1zf03vJ3xI80ZOuUjlbXiXqyUVPh2V816sGWVii1Kho\n6yuqkOfU8XIoULB37w7Y7bmIikpC1OCIK9zLzkd76WVXBJi9JhOCgYcsS7jh9j+iZFc+9pcUYvPq\nTMROS9Lo0Na0ycJFSeas1cVWMVNarmjBnltZkhATPx1h46+ud8nNvna4AvTvlYCgcBCUqzNy/E0P\njgDwhz/8ATU1Nfjuu+9QXFyMVatW4X/+539w8eJFfPbZZx3+PpH0T3WMoOnKwf30pNto0BTaEF6n\nNsze19GN+ugqV5ktXmvw1nxMWapPkJpRhwLgiH5KTDK/owfhvxngBYdB/R8ApB76JSUZZMj+HEKt\nVoRa6ZuSzDxXKAYeslntH8e7F5rV4KmqAqt2bMbjUp2g/hc20YrQMVbVgq7RgeS5SyFUqQtv3poO\nY2U9Jo7V6TBO4cA1kwNGUtpuPyyieHVTylIXJJ8gapbooy8rMSyG7KXzeVqCumtZXzMa+qjXkMJo\n5WWy+LCZg8hLGp3KEeJVhZNAMsC8gaBVnUn3EXFxiIiLAznmKbJa+mv2ApUqJJXcrLJUUYhzwxo1\nOKeHRcQjLIIeDN2MG6iZ6n+WSKub+Iak2hXv5j1L3WDg9OVZ71jiO2uAwJPmBKzJAadAkkRwnALm\n9EGRJW2a7InfYy5FziFryf5kYj9AU6m1tWXUvB9k/fteni647YPOo1Wv5neOvzlalcWwYcOwePFi\nJCYmYvz48di1axfeeOMNvPnmm9i1axcuXrxIpX90wx3REQnY/FoGNS07axkiY64uCssTmrKgm/VQ\nKkoO7LxCPeo6uIpFk8h+aRki49t//lzVUEhsWpGOKOuv55roCsROS8CG5+jj9HJmOmKnTrsyHepi\n8N206tUNo9GI5ORkvPTSS+B5HqWlpRg8eDCsVit69+6NgIAAnDlzBvX19XA4HBBFsd0DJmkRJw+j\nX5hHmPXH2jBlIjXPz9eirxc0gponeRFeXowjjmIwQ/ZSo0Ce8fHiHLQdGbUeIf6QvOn8OtFbX0/y\nFTAhdgokLwGb//4ceC+Dmmc4ZTosbGoFGckxAa5i4CA7BQ9uT2wSIbppQz0+MvWUa147A84BCDCA\nc7iWJSo+gGNEOQI4V4gh0MfPU96hYiKOJxMdUpG4H1ND0Vf9iZYdsKG4LF9PaI9OhCWCqBvIHDTZ\ni4cYKGD/3gLYS4hE+NhEhBHrwQCETbICJmBrTgZ4o0p9R0+d7nRvaZ9Du8v5JWtVpkanx05LalJZ\nqu0DK6giL2VP3WiDCRRbMaRZsBehEXClnLLkDBktktE1+51llAUeiIqPB88BG1foVWOs05M0Mc7b\n2Zvx6QfbIBgESKKEG35/J+68e46+bYaB4UUJhsvqRMMlpvrLZT3l7IRMm5Yc5E5qn0tF+oBO6cRR\n4mqOHLsHRwI333wzAEAURYwcORK/+93v3AQ5iqKgqqoKNTU14Hn+N2HP1hpYLPGwWOKh+F2dF3pL\naC5Ru6tstDyh7IANxfZcJM9dpk3L2ZwG8PCYj7l/bwFKihiTgw1pAKfSySTCIqwIi7Ayg8cvK10S\nHhvvLDStT5ObPsy/aUTExSPKytDGijowfrbtfWz5z+fa9IdvuxFSI4eZ98/u6m52CgTwEK5SArN7\ncCQwatQoPP64Zyd6juMQFBSE3r17Y+TIkc2menSja1G234aSfbRVWNik1osvNAu6OfpAkvVqOqyh\nnm22ugIlpXmY9VAqFSAlz1qKLVs8mxXYi/OQ/AhNFSfPXYqtmzLcBse2YF+xDXZbnl4fc0oCIuKv\nnVy8stIC2IuIaykuESE3d72C+fN/f4DHFqdi04pMLXJ8ZFEqNj6XeQ0Njt2R4zWH/v37Izg4uMXB\nkaUyxQG6FduA3nTlhghFLzwbbKZpVbmnLsKp703buZF5a7yDfjSXTSY4nJZuRibx3pMirin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Iyy/jv2445R85g7Q4dCcP5rLbgudMn5zQ6Of/nLX5CZmQkfHx+Py12+fBne3t7w9/eHt7c3tm3b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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "cdd0 = ret['covariance']\n", "cdd = ret['final_covariance']\n", "error0 = ssq * np.diag(1 - np.dot(cdd0, np.dot(np.linalg.inv(cdd), cdd0.T)))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "x = np.arange(len(tsub))\n", "\n", "ax.plot(x, np.abs(ret['residual']), 'o', alpha=0.75, label='Actual |data-OI|')\n", "ax.plot(x, np.sqrt(error0), 'o', alpha=0.5, label='Expected error')\n", "ax.set_xlabel('Sample number')\n", "ax.set_ylabel(r'$^\\circ$C')\n", "\n", "within_limits = np.abs(ret['residual']) <= np.sqrt(error0)\n", "\n", "per = 100 * len(np.nonzero(within_limits)[0]) / len(tsub)\n", "title = '%s%% of residuals are within expected error bars' % per\n", "ax.set_title(title)\n", "leg = ax.legend(numpoints=1)" ], "language": "python", "metadata": {}, "outputs": [ { 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UVVWhuroaMTExAAAbGxvk5uairu7ZWSRCoRDHjh1DVVUV7t+/j3379rENdXl5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\nqTFN/qwciupa0cbEO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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And this last pictures show that the expected error should be used only as a guide, the actual error is usually higher." ] }, { "cell_type": "code", "collapsed": false, "input": [ "HTML(html)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "

This post was written as an IPython notebook.\n", " It is available for download\n", " or as a static html.

\n", "

\n", "
python4oceanographers by Filipe Fernandes is\n", "licensed under a Creative Commons\n", "Attribution-ShareAlike 4.0 International License.
Based on a work at https://ocefpaf.github.io/.\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "" ] } ], "prompt_number": 19 } ], "metadata": {} } ] }