From 9f19ad0b5cd5548def9f9539747b21237cb1f658 Mon Sep 17 00:00:00 2001 From: Gregory Ashton <gregory.ashton@ligo.org> Date: Fri, 11 May 2018 09:12:12 +1000 Subject: [PATCH] Add a notebook showing plotted output --- .../tutorials/visualising_the_results.ipynb | 353 ++++++++++++++++++ 1 file changed, 353 insertions(+) create mode 100644 examples/tutorials/visualising_the_results.ipynb diff --git a/examples/tutorials/visualising_the_results.ipynb b/examples/tutorials/visualising_the_results.ipynb new file mode 100644 index 000000000..94feee5db --- /dev/null +++ b/examples/tutorials/visualising_the_results.ipynb @@ -0,0 +1,353 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "! rm visualising_the_results/*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Visualising the results\n", + "\n", + "In this tutorial, we demonstrate the plotting tools built-in to `tupak` and how to extend them. First, we run a simple injection study and return the `result` object." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:root:waveform_approximant cannot be converted to delta function prior.\n", + "WARNING:root:If required the default prior will be used.\n", + "iter: 4713+250 | bound: 4 | nc: 1 | ncall: 29958 | eff(%): 16.567 | loglstar: -inf < 6970.440 < inf | logz: 6953.968 +/- 0.178 | dlogz: 0.000 > 0.100 /home/user1/anaconda2/lib/python2.7/site-packages/dynesty/sampler.py:220: RuntimeWarning: invalid value encountered in sqrt\n", + " ('logzerr', np.sqrt(np.array(self.saved_logzvar))),\n" + ] + }, + { + "data": { + "image/png": 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zm6eSL8OlGQc5llvAlr3Z7l/8H948nN1Hcpk+eyU5BUW8e+PpHHI1j5U0hRUU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\npeTL+5NbziCqgmuVUju1YJR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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x7fddc1b63e10>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import tupak\n", + "%matplotlib inline\n", + "\n", + "time_duration = 4.\n", + "sampling_frequency = 2048.\n", + "outdir = 'visualising_the_results'\n", + "label = 'example'\n", + "\n", + "injection_parameters = dict(mass_1=36., mass_2=29., a_1=0.4, a_2=0.3, tilt_1=0.5, tilt_2=1.0, phi_12=1.7, phi_jl=0.3,\n", + " luminosity_distance=200., iota=0.4, psi=2.659, phase=1.3, geocent_time=1126259642.413,\n", + " waveform_approximant='IMRPhenomPv2', reference_frequency=50., ra=1.375, dec=-1.2108)\n", + "\n", + "waveform_generator = tupak.waveform_generator.WaveformGenerator(\n", + " sampling_frequency=sampling_frequency, time_duration=time_duration,\n", + " frequency_domain_source_model=tupak.source.lal_binary_black_hole,\n", + " parameters=injection_parameters)\n", + "hf_signal = waveform_generator.frequency_domain_strain()\n", + "\n", + "IFOs = [tupak.detector.get_interferometer_with_fake_noise_and_injection(\n", + " 'H1', injection_polarizations=hf_signal, injection_parameters=injection_parameters, time_duration=time_duration,\n", + " sampling_frequency=sampling_frequency, outdir=outdir)]\n", + "\n", + "priors = injection_parameters.copy()\n", + "priors['mass_1'] = tupak.prior.Uniform(20, 50, 'mass_1')\n", + "priors['mass_2'] = tupak.prior.Uniform(20, 50, 'mass_2')\n", + "priors['luminosity_distance'] = tupak.prior.Uniform(100, 300, 'luminosity_distance')\n", + "\n", + "likelihood = tupak.likelihood.Likelihood(interferometers=IFOs, waveform_generator=waveform_generator)\n", + "\n", + "result = tupak.sampler.run_sampler(likelihood=likelihood, priors=priors, sampler='dynesty', npoints=100,\n", + " injection_parameters=injection_parameters, outdir=outdir, label=label,\n", + " walks=5)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In running this code, we already made the first plot! In the function `tupak.detector.get_interferometer_with_fake_noise_and_injection`, the ASD, detector data, and signal are plotted together. This figure is saved under `visualsing_the_results/H1_frequency_domain_data.png`. Note that `visualising_the_result` is our `outdir` where all the output of the run is stored. Let's take a quick look at that directory now:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "example_result.h5\t H1_frequency_domain_data.png prior.txt\r\n", + "H1_frequency_domain_data.dat H1_psd.dat\r\n" + ] + } + ], + "source": [ + "!ls visualising_the_results/" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Corner plots\n", + "\n", + "Now lets make some corner plots. You can easily generate a corner plot using `result.plot_corner()` like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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GcXBkYdZkh93H+6gu8pLrd77iP3zihYFz915WRMq2qSo8K7hlYQ8tPUniKYVl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bF0bRDKjI47oeqogXxRNFmJ2fvu1N/cbBoUFUNdWML7pZD/W/uzLC+/9jQmIQQVcYOeMYum0v8V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\nLwSuyaKtpXhqUg98kJyAu8E/A/4dH8RG4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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x7fddbe1305d0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.plot_corner()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In a notebook, this figure will display. But by default the file is also saved to `visualising_the_result/example_corner.png`. If you change the label to something more descriptive then the `example` here will of course be replaced." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You may also want to plot a subset of the parameters, or perhaps add the `injection_paramters` as lines to check if you recovered them correctly. All this can be done through `plot_corner`. Under the hood, `plot_corner` uses\n", + "[chain consumer](https://samreay.github.io/ChainConsumer/index.html), and all the keyword arguments passed to `plot_corner` are passed through to [the `plot` function of chain consumer](https://samreay.github.io/ChainConsumer/chain_api.html#chainconsumer.plotter.Plotter.plot).\n", + "\n", + "### Adding injection parameters to the plot\n", + "\n", + "In the previous plot, you'll notice `tupak` added the injection parameters to the plot by default. You can switch this off by setting `truth=None` when you call `plot_corner`. Or to add different injection parameters to the plot, just pass this as a keyword argument for `truth`. In this example, we just add a line for the luminosity distance by passing a dictionary of the value we want to display." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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dSqmIiPwAMIF4Lob8/Yhhkjx5FAyDTHsL/3pd7elzs/MD/P2V8/mH/S3YsQDG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VbLS2IsLzkLpXj9ibXc/f1tqIkiFOPs3c7NWdgDo6T3tWFUleDmnRtSSq8SvbIR63Q30q2YOUer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\nD4KbNsPMLpT0PTzksAa3invjDWQc8Fxrs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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x7fde08e9e490>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.plot_corner(truth=dict(luminosity_distance=201))\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot a subset of the corner plot\n", + "\n", + "Or, to plot just a subset of parameters, just pass a list of the names you want." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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D69S63PC1tbVUV/e9OteXT+JCNIjU0/wRoDmVCrBCKZWdOlzdqe3BTudsBj6QujlXpQQM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\nWCxpsQ7CYrGk5f8DstiQYzIpsX8AAAAASUVORK5CYII=\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdddc764fd0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.plot_corner(parameters=['mass_1', 'mass_2'], filename='{}/subset.png'.format(outdir))\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice here, we also passed in a keyword argument `filename=`, this overwrites the default filename and instead saves the file as `visualising_the_results/subset.png`. Useful if you want to create lots of different plots. Let's check what the outdir looks like now" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "example_corner.png H1_frequency_domain_data.dat H1_psd.dat subset.png\r\n", + "example_result.h5 H1_frequency_domain_data.png prior.txt\r\n" + ] + } + ], + "source": [ + "!ls visualising_the_results/" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Alternative\n", + "\n", + "If you would prefer to do the plotting yourself, you can get hold of the samples and the ordering as follows and then plot with a different module. Here is an example using the [`corner`](http://corner.readthedocs.io/en/latest/) package" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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jrvvyyy/p0KEDzZs3d44tWbKE9PR0hg8fztlnnw1AcnJymZr1v/vd71i7di1f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\n8c477zjHGzVqxCuvvMKOHTv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ycnJOSDniJUuWODkFf/3rX7nggguO+R4ul4sWLVoQGhpa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\nEARBEARBhf8P0pSMJ5h1L7EAAAAASUVORK5CYII=\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fddbba0e9d0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import corner\n", + "samples = result.samples\n", + "labels = result.parameter_labels\n", + "fig = corner.corner(samples, labels=labels)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Other plots\n", + "\n", + "We also include two other types of plots which may be useful. Again, these are built on chain consumer so you may find it useful to check the [documentation](https://samreay.github.io/ChainConsumer/chain_api.html#plotter-class) to see how these plots can be extednded.\n", + "\n", + "### Walker plots\n", + "\n", + "These plots show the convergence of the sampler during the run:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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oNYWowXr6wtPfjzGvREQ1nUEqz0Kt3d8cbE59zjZnmFrsiRMhu4+POVydKXo6\nuPWE53sn5I+2+6nVrr+6enWrmZaVO2jTCTf9oYe93x0UUnrarzjipGMdAdpy3E2//6CdvAFeV93a\nGxRFofl7baQoCv1tTSe16giD3vDXNZ20TMdeHY8kK/RyD2ev3tBij9DP/ttA8/dZaX4P04gkK/Tb\nD/SdzvS4aU4DPbi0pU/jyJb3yx0pvfyj3L+4lUK8RK9utdDKo5njzz864qJXt5rIran4BUmhBxa3\n0ps7reQJCLQuy+Rc/ohET6xStR7/2WGlNkeQeE2Y9TUO/q+ruyio+Vo8t8lMTbbE33OtKUSnNM1D\nuzNMHZpwb7KFyR4nbFYccaTU8LQ4IrT4gJOabJGYRtQdFGn7ie6FVHVHMOG+K4pCGzRnzc21Hlpd\n5aItdcnagjXVbqpqV9N1dzgjtOukl17ZFh9hIdJRbfLhCYm0vMIZ+741WsNU1RGkOkuQ5u21xxy4\nVx510456L/nCEnW4ImnlxcFmvxoBtMNK/9lhpV8va6V11S5aU+WkPQ1+arKG6InVnWTz8XS8K0g7\n6z0UFtSsrFtqvdRsC9O8PTY60RWkJluI9pzyUauDj2loBUmh9w87KRAWqbxFdYDtcEXouY1mWn/M\nRXXa4i9bQc+pdVPDcdyVAJqJqH+2DztDTJs2jSoqEje4IyK0u0ScN0yN1T5ljaTc0CUiKjAAyMvt\nfWqB8tYA3EEZ37t0SK/aVXeG0Obi8ePLh/b6nPG0Onm8vt2GF38+HqGQiKKi3NPqj4jw5Doz/vLD\nc8BxyXH675U7ISnAHV8dFju2v9GPgy1B/D6Lne0+LczfZ8e4Ibn47mWlSWUOv4A8owEAweoXcP6o\nQbGyg80B7Dzpw2PfHwMA8IZEuEMSJgxPjN3ucgt4fHUXFs5UY9LvXtSKR787EheO1o9BT4WiEF7Y\nasEfp4+GwZBd3oR0CJKCG99sxvL7JyI/t382d+oNx7uCqDeHMWPa8MyVdXhukxnDinJx7zf71v7d\nA3bccMVQlBQl55Z4dZsFuUYOD147SrftA0va8OpN47K+b4sO2DFhWD6+dYG68ZUoisjNzYUgKXhr\ntx0Xj8pHRXsYj33/nIx9SbKClUdd+NlVZTCm2dWyvDWAK8YWIT/Ns0ySJOTk6OfWyIa39tjxjcmD\ncOmY5O/yCVMYl4zRz2MQ4iUsq3BCEDmMGZqLG65IfPYd6wzCFZRw7YXqs1RRCIfbg/jKhGJsrPVC\nkmQ0OkRVSNATAAAgAElEQVT89tvdn8/R9iDaHGFMv7gUxYXJ11TRFsR5ZXkYMVh9LoqSAkEmDMo3\nYnOtB/U2HgZw+NqkQRhSaERJoRGFuQYEIgokUjBmSB7e2GnDQ9eOhNHAYW21CwVGA84ZmotWl4DL\nxhThvLI8/HunDWFBxvjSXPzw8qFYXeWGRMAXxxTiYEsI44bmYsq5RQjyCoIRCReMLoQ7pGBIoQEr\njrpx6ZhCjByci1HFRnBGAwpzDdh43ANfRMb0iwaj0y1g68kAajpDECUZo0ry8NLNE44Q0bSMH1im\nmQDUkLrNULeS/QN6Yaf/JP+uuGqK7syrp6OLKCkx9Vw8sqxQRWvmFanNL9BJS5j+u9NGczLEQPc3\n8/bY6Kn1XWm93R9a1pag3tpY46Z/9UM60Hju7RGC9GnmWIefKrNwksrEvN0W+tYLtXS8M/E7IkoK\nff3ZWnrq477ZmU+XLjdPP/lPwyd6zhZ7hGa900yKotALG80ZV8I9eWevLRZ//fCytoT8BT1DBf+y\nujNB/R2KMyH84cN2kmSFlh9xZj2GV7aa6Q8ftNLvdCIwiNQIhXQpnxVFoVkLmhIcGD+udtOLm/Vz\nOyiKQlWtPtp8IrMN+4VNZupy8/S7FGaCIC/RSynOE2XdMTfNeLOB3Dqx8no02cJJNn6rlydfMH17\nX1BMGaH04ZH0Wobb5jbSvzZ10U4dk9ahZjVMLsq2eh+1OCJk8fB0uNVPiw/p931UW90rikIfVbqo\ny82TKHXbzkO8nPDMsvsE2lrnJadfoBNx6bTdQZE21HgoyMtk8fD02/fbSZQUEiWF6s2qhuM/Oy1U\n0xEgX1giT1CkVoca1h2ISFRvCtIz2mZUsqzEwlqbbBFasM8ei/5afsRF7oBAz6zrohXaxmm1phDN\n3W2lZYedtEPzeZi310YfVbroT6s66N0Ddvr4mJvKm3300uYuuuHfdf2qur8q/jWAG7Pp+JP+S7ep\nTTYoipLSkzOeLjdPlW2qKiXqDRoRpFhSHZObT8pvv+xw+i++w89TvSWzT8CeBl/KfPVrqlz04eHu\nCYwsK7RP2wSkvMVPHc7TU/f2B7fMbSR/mtCsnmRKo5sNa6rctPqoi55Zb+q1Q+U7e20xR79FB2z0\n2paOWMRANsluoizan+w0lg2yLPfKHHHnvOaM+xm0OEIxlW1vONrmJ4sn2bQ1b5/ttMKHTpgCadtv\nPu5OiniJ2mQbrEF6fbuZ3txlSRn33JP3yx3kzSDEmqwhsupca18IRCT6y6oOWnY4daTF3D3qPexw\nqrbkTKmnBUmhP+skoCFSf/fL49T5H1Y4yeSKkM0boSdWdVC7Zs+P7sPxxg4rueLyNBxq9tPqKlfs\n2ZGK13WSiMmykqA+T0eYlygQFmjhPlvMOdMXEqlBewYf7wrSikoX2f0ifXxM3RGyZ2Ko6vYAPflx\nl+5zu7ItSJ6gGFvUvVfuoJ0nvSSIqsBvcUSow9X9WzncGiCHdh9cAYEWHXDQqip3Ql4Wf0TSJhDq\nhGLRQTsdaQvEwgXdQZHWVrupw83TvkYfeUIiiaJMSw45aNdJLy0+aKc/reygQESitdVuenu3jYK8\nan55cZOJFu2305HWAB1tD9BLW8zkDop0Urtmh5+PhQBuPO6hbVoYY7aCPhvV/XUAXERUlVE9cBYZ\nPHgwXXbFlFhK0ZkzZ2LmzJmx8g6XgFt/8h3kxKk+e9YBgGuvvTb2WlYIt995Fx647+6UdTxhGQ/c\nMxMPzL4HALD2mAfnDs3Db+78QaxOWFTwy/vuTnmukKAgLCr434fuTTuebMYcrXPLbXfiH+tMGJSf\ngwtH5ePZh29AcVyK31T9iLICUQaK8gy49NoZ+P5Pb8eP4tRr8ec6aY3gqT/ej3vunoUHl7bh+RvH\noTjf2Ocx97aOICkYd+nVuOScgpR1ov3Y/SKGF+eC49Q6P7v5TvxyaTuW3DMx5bluuuUOSDJh1TEP\nvn/ZEPz8+u/GykWZ8MVrf443n3w445h/POM2SDIwUkuXnO21u0MSbH4JF44qSKhDRNhW78NTv7wh\nq34IQG1XGBefU4CyK3+CR39zD66eXJJ2zD37Of+Kq1FcYIylY+3t5/XzOY144cbxmHnj97Iac7Z1\nzF4Ro0tyMWvWTEy4+mdYddSDV24+V7efG2+5AxOvvhE/ulz/+xw9V/7F12Ps0Fx864ISrKxy44WH\nb0BejiGhzsyZM2HyCHh0RSfOK8vD3lfuiJU3O3g8NHsmHv31/bFjpyxhTJ9+HYrzDRipqZCj/Swt\nd2D4oBxcNb4IP/9x93est/cnIshotEdw2dhBsToBXkFhLocp02/GN394C2ZMLQMAbK714Je3/QDj\nh+Yl9CNN/iFmfX04AryCm+c2Ibj8PnjCMoYNUlXiQ668Ab974B6cW5YbSzN8zTXXAOAgKoQ8Ixcb\nT1iQUailENYb849m3I4T5jCK8gzIMxrwwC3fR1hUMKTQCG9Yxi/uugu/e/BeAEC9JQKFCA/e+n04\ng1JsPJdeMwO44Hq8MGMcirTn25e+9i1wHOAKSigblIObbrsTv3/wHqyr8WJYcQ7GDc3Dj//ft1Fc\nYESOgYM3LOOm2+7A7XfchequCKZfNBiFeUZ881vXwBmUUZxvQF4Ohx/eeDtKr7gBv9TMOnWWEH55\nS/dzXpAJs++ZhTvv/AXeq3BhdEkurjx3EK77n/9BaaERUSvot2+4DT+76Q402gX86IuDwUuEr33j\nWgQFBeOG5kGSCVdc93P87Kbb0eWXMWpwDpaWO1H++i8AAIPyjSjON2DmzJmYNWtWVqr7bAzS3wVw\nC8dxH3Ac9z7HcfdmapAi1300l32qXPdJufAz5cdPuhgd82WnW4AzKKG8LZgg5LNBlAk76v3gxdR5\nzXMMQFDoztR9/eWluGJ8ot2qMIPdvyjPgGGDcrC1zodmLZ90triDIkJCcqbwgjwj/vnT8fjzD87B\njKllCUI+yqGWAHpO9AK8AldQzUs9anAOvjAydS7688ryYNTu6X9uOy92Dl4iZJg/Zo1ChBNm/XuS\nl2NIEPLpGDE4F/HuBiWFRiycOQG3zG1KyE8eT1FBDkoG5UJSkHQ9uUYOX52cfo8Cs1eANyShrDgv\nJuSjuIISOlzdOerDvARfMDFn/dCiHFyo41MiyoQPjrh177EoKVh3LDE3PQfgsrGFMBo4/HTK0AQh\nny1jh+alzLn+0hYz7l3UDH8k9e9k8V3jMWFYfq/Pm4mSQgOc2vf12gtKYkI+Hk9I0vbCIAQjyb+V\nU9ZIwnfg1q8Mi9nU8wyAegeTGVOah3fvnoSnfjIu4fjEYXnY2xCEV9sPIRQSEZEUlBYaY0I+ntu+\nPBzOoARe6h5DRFQSftfV7UG8scOqO44Pj7gAAH5eRlVHOKGsON8Ae0DC0CJjTMgDwDcmF2PMEHUs\n7XHfw3u/OQJGA4chhUYsnz0JRgOHPCOHTrcAk0fEjy4tAWdQ9w2J4gnJaLBFYvcZANZWezB3jyP2\nPsDLSc+p4cW5+Nb5JTh3aD7cIRGesBz7jg0pNGKo5kMRCEsoK+Jw/oh8dLkFhMXufi4ZU4j/u/4c\n7GkKwheWIIgKBuUboBChtNAIf0RGrpHDxzU+/PCLQ3D15ME4tywf+TmGmDxQCDAaDDjYEsL1l5fG\nJichQbWfB3kFBo6D0cDhgtEFaNT2TjHAACLAG5ZBBIS16zMaDfjRF0vx7YuHoNMtIC+Hiz173CEZ\njdYwVlR5cO0Fxdh4wo+1x3zIzTFgaJERbU4BrpCMySPzccIm4geXDsG15xfj5ZvOw6iSXIwqyUVx\nfh+2qMm05Ieqrp8Y935ihvp6ue6nIDEhzhSdNgm58PWOpTvv1KlT6UCTP+skI23OCDXZItTmiND+\nNCFg8fZDm19ICnXjRTXBQ3/gCaS2e7U6EhNtRDllDcXyXGci6jUc5R8fm0iUFArzatKKdCiKQlvi\nkrHUdAbpYJO+eu9X77XRyQzJf5psYXpgcUtW4z7TPPVxV9aq33TIskK1Xd3fhZe2mKjTpa8CbndF\n6GCTn5YdspPFw9Pbe63051Wp49Pf3Gmm57PwtfCHJfqrlt7U5uMTdu/LljvnN9GOXoQEvrzFrBtG\n1t+EeIkeWJwY4lfTFaCVValNYy2OCP3Pi3XU0iO64hfvtMTU2H3h9W0W2qOzl8ILmy20r9FLa6vs\nsWiDPy5vj5n5mmzhrJI+7Tzlyfp3HcXpF2K+CvP32WiXNj5vUCRRkqmqLUCv6ajWu9xh+u9OK927\nsDltKGQwItEbO5KfE0+s7qK5eyzU5uSpyR6mXy9rpZ09MuT9d6eVjsRFD0VT2kYEmfY0+OiR5R3U\naAtTvTlEr26zxDLO+UMi7W3w0i4tvDCaYXNllZvWVLsSdiPdecJNf4n7DVm8Aj2yvJ3qLSFaU+2k\njbVecvkFWnzIQa6ASA6/QIdbA1RvCZEnJNHuBp/u3hC1phA9ua6LzF6BXt1moUNxEUnuoEhv7bZS\nTVzeBEVRaHll92dX3RmilVVuEiWF3tpjpUBESvKz6nTxvfZ1IaKzt00t9HPdTwGwJVqu0yYpF77e\nsXTnnTp1KrXH2VwCESltrLk3JJInhc02mo0q6tBBRPTadit1uiNUlSZetL8RJYX+o/2wFqVJtJGJ\nTLnwBVFOSt/ZE0lW6Mb/NtBaba/yw62BrLPP6aEoCrnSbOF7ponfSOi9ckdKO/EtcxvpeEeAZi1o\nJl6U6cElrSnzJDj9Av1qWfabBxGpm4l0pZgM9IVfv99GO+s9tPeUj8zuML295+yk3c2Gth65LYLa\n5joL9tno+U1m2nzCHXNsirL4oJ2O9mMY5wOLW8nqjehul+yPSPTgEv3Ps7LVTyZ38uemZtaUyOnn\nk9K7xvPREVeCIHcGBJqvbZ7TaAvTi1t670A7f48taSHSG1YfdSVNiNZWu2mNzoRDURRdX4+Nx130\n7gEbhXiJlpU76Ml1ppjfyAcVzlj/0VS3YV6iPQ1+WnXUneArIMlq8pp6cygm5KMEIxJtrFGF/LY6\nT2xx9/wmM1W0+skdFOlIWyC2QY4/JJJVc4Kz+QSqM4foQLOfVla6yRtSJ0FBXqYl5Y7Y+NQNgdTP\nb0e9l7o8PO3S0kHHLwp4oTte/2xw1gR9QudxOeqhprl1o0dWPK0sKRe+3rF057r08kSve0dApNY0\ngt7mE1J6jq+oVD2CVx11k8MnUK0pRHXmxB9tvSWclO9+yUFn0uRClGSqN2d2tGuwhJI2tCHqnvkS\nqfGgiw6c/q5yfaXdFSFzH52U+rLvPJG62vD3U1bCmQtaqMURIX9EolnvNPQ6/7uiKLSm2nVGIw5u\nn9dEexv0J1AHG/1074ImemmLSbc8iqIo9LsP1L0I1h9znxFHzEx71mfD3QuakzaNIiKK8CIFwwJ5\ng0JCvoZHV3TQ39a006ksfk/xNNsjaVfR62vc9GSaqIn73m2hYx2ZBaggKTQ7Rb75TPjDIq2rdtOC\nfTb6zw4LHTrlpNe3W9Wd4OI2KHIFBDrS1jsNoi8k0rqa5Jj9QI/0tV1unp5ap363ttV5SZRk4gVJ\nN2lVu4un93s4Gcd727+wsYt2nvRRTWcwljXvWHsgqU2sP2ckYUUbH/kgSAqtqnKpXu2a53s0kigq\nwF/cYqaKVvUz4gWZrH0Qvs6AqKsRNvXx2fVJcNYFPRJz3ZfGCW93TzU8dHLh6x3TOUcs1/348edS\nq4OnLrcQ8+xOpcYXJYWeXt+V9MCWZIUeX9mR1M7u5bPKzx3PikoXHesMkT8s0YZ+SscqiHLKfNp/\nXt2p+9CMZ2Wlk17bdmZXeC06D1VZVuhnb9TToQzpbPV4dr2JPq5OvPcdLp4e6rHS2nPKp7sVpqIo\ndOvbTQkhh0RqKNPm2uTPpbo9kPQA7C2LDjjoH30Mt+MFOaY10cPhF+i1Ldl78L+w0UTlaZIf9RfB\niEiL9qvapwZrOGkXPEVRep3QiIiozRGhJVnu3UBE9NDSNvrTig6yaCro+xa1UG2KdLQ9qW4/vfv0\n310WWlpuT/DmzoYFB+wJW+G+udNGDy9toYoWP+2od9P3Xj0ZK6szB+mGNxqSNFB7T/mSVL8bj7tp\n6SEH+cOibkroP3zYRhtr9ZP2LDvk7PXeAfVx2UR3nfTRrlN+CvMSPbfRlHFyfKjFHxujLCv0us5z\nKsSr2eP0kGWFmlMkvxrIfBoEfUK+enSnu52RQmgn5cLXO5bqLxpeFxHVXMNb63x0tD2YNpxLFGU6\nYQrS7lPpQ0l4QaZTWYS/6dEz9ONva7p0t2fMhrf32lKu9rKFF2Ta3gv7qySrq8N0bDnupt9nsDtu\nrXXTkjRbsvYGSVLTRz693kTLjzho2SEHPb6iLaXW4HiHh7ZlEcdMRPTX1R1Uq6k/+yKYeuINSXT9\nvxvoljmNGSdiRKrW5v/ithANRkRakSIuedaCZvKEJDrWEUjKbPZJUm8O0ux3m2K7/1l9yRPjWlOQ\n7s/CJ2PpIXtsouMP8CkFfasjFPucerLthIdCvES/fr+NOtOsxuI3+lEUhR5Y3JI0IezJsc4A7WtI\n/bxw+gV67KPkCecDi1t7FVqaCUVREsIEFx90xranjWLzRpJS6r62zUr3LWohSVbIFRA+1atVRmbO\nqqBHcq77mKCPL4d+rvu3Uh1L9xcfR1/dGSJB6rax6CFICn1c7aHKtgAdbPLTwaZENbwkSbp72/eW\n9+NSL2aLoiixLWF7Q6s9khTD3xNvSKTXtvcuprvD2b959fsLb0CgYIrVtywrtOiAmjb2UJNPd4vS\ndEiyQrfOber1DnJ94UiLP6X/hTMg0LOanfqGN04lxMk7NR+HRftt9HEvNU5ERHsbffToR93+Gy9u\nNies4j6scNCcLLbWlSSZbGmcuHpDdbs/ppq/c35Typj/1ZUuWpDF9rLZsueUlz6qUO+hIMr0cgob\neWVrIObkdro4AwK90MdkVk22ML2+/dPrf8H4ZDibznipct0/oq3m4ycB8bnu9XLhJx1L9dczYU69\nOTnjkx5Ntgg5A8n2nAeXtCUknvCERArzEkmyQpt0VL79yVu7LfRIj/zqT6/LrAqO8FKSM83ngY01\nbl0zzDMbMqsMzwaylv0t6tT3zj4rzXynKesJ4ROrOjNudZsNvCAlaEHm77fTR4cdMc1DTWeAypu9\ndOvbTUn7LfxWc/obKHS6InRC0xCIkvyJZL0URDll5AqDkQ3ZCvqMCXM+K+jluncGJHjCEs4ZkodG\nO4/LxybnXzZ5BNSaIrhyfAEInG6cKwDsOuXHsEE5uGxsIXwRCSUFOejyiJAVBeeWZY4PfnuvHT+9\ncgiGFaeOS4+NySugMIfDmmM+3PW1Ydo4IxhTml3M+OlS3RHCtnovCvIMePAa/Zzf/UmIl3Hvu+1Y\neu/EXrclIjy2ohNP3jA2IanJ6RDgZdz/bjuW9GE8fYGI8FGlGzdOGaq7t0B/caQ9iOc2mnDdBUPw\nwLUjdes8u96M+781HEOL0++XIIoicnJyzuh4GQxGejiO67eEOZ85QoICT0jGsOIcjCrJhSARLh9b\niBPm7mQSh1oCcAZFjCnNQ0hUEOIVWLxiyj6vuWAwLtMmCiUFaiIHs5dHUV52t/Deb4zISsgDwJgh\neRhcYMTFo9UJxNH2ILafDGbVtrfIshzVnuCxFR2wegWsqPLgoWtH9ruQb7aHsbHWg6PtQTy2qjN2\nvCjfiHfuHIO399hBRDjcGsTDS9vS9mVxRXD7283gOA7P3Tg+pZAXxeTP9Ml1Juw62b1Hk9XHo84U\nir0vzjeeESHfaA3j7oUtOGVJ/Cw5jsOMqWWoaA1ClpMTumTD3N02/GF5R9o6U88dhEUzJ0FOM7d/\n7AfnZBTyAJCbm8uEPIPxGWHACHpJIQR4NROVgQOimzuZPCJKi9RMR9FMUC0OHpecU4CiHA5rj3kw\nbJAR5w0vwOXjererWItdwPAsHop6EBEeXNoGk0fNSlXVnvjwzzEa8OWJaua1S0YX4PuXJGYzM3sE\nPL3e3Kdzx/PaDjs21apC7w/TR2NkSS7+fv2YM7KrWYBXYPNJuGR0AR74ellCWW5uHjwRNcPUlyYM\nwr9vOy9tXy9ut+G+b3Tvnnf7vGZ4QlJSvYc/MCFea/XLpa24cmwBpp7b/Vkf6wxjS72/T9cUn90u\nE18YVYj/3nYuXtxijx3rdAu4eU4TAOC9Cjc8odTZ5dJx37dG4l8zxmesV5BnxEP/o7+aZzAYA5MB\no7qfMnUalZcfRo4xcZURFpVYCtomO4/JI/JxyhKBPSjh61oK0y63gLFDs1ttpyM+t7MeL262YNbX\nh+HdQy786tqRWHjAiVlfHw4iwn932fFgCnXqmWLrCS94mfDDLyZv05oN7qCIEC9jbFlqk0JYkPHw\nex2Y94sJWfW5pc6DfY1B/N/1Y/s0pk8SX1jG7z7owLy7JvS5DyKC0y9geEn/p4dlMBgDm7Oquu/H\nXPdTtGMzMp3TwCFJyAOJeeYnj1AfpheMLsBXJ3Sv6HoK+aqOUFL+c0UhvLpdP9d0lHf2O9OW3/GV\nMgwtysFvrhsFg4HDrK+r+2nXWcK45+t921u7rxxtD+JEVwgX6eRSz5ZdDQHMWtQOMY0uuDDPiCd+\nkLjX9qoqN0J88uobAL4xaTB++a0RCccUhfCL+S0QZcLjq7pg9WW/ij6TlBQaT0vIA6rangl5BoNx\nJul3Qc9x3HQAW4loDoBJmnCfAqCZiLYCaNbe92wDIloOYDLHcZO0oj9pxyb1bKOHIyDBGVAFSFRQ\nRzcgANTd6Bqs6gYpRmPqSy/KM6Cn+dFg4PCb61Sb9b7GANyBZNtvdEWuKIS11Z6k8lFD8sBxHIgI\nz240Y1m5OjGweCXwUna2WUUhPL+5W2X/UaUraSzPbOjCR0fSTzrGDM3FNReVYPLIvgv6n1w5FPN/\ncR5ydSZY8UwcnijI3CEZqUzRhflGjOqxAYzBwOGVm8Yi18jhB5cNxtDCnD6PmcFgMD5vnIkVfXRD\nGgBo1t4DatIbQM2KV9mjzXe0uoAaljddW8UfBgAiel6nTRKlhUYomimi1SXAH5FjdnkAMBo4nDcs\ns4r+glEFaR2NSgoNyM1JXc5xwHlxO3W9vM2Ck5ZuZy8iYNLwfNz6ZdXGfN1FJSjJILyICP6QBIOB\nw8+ndG+zec6QXOTnJo7lpqmlurvVxfPkx5bYGJ/fZMGmWm/a+qkYl0XEQU9mXT0cg3sprMs0R8Zv\nfKEEeRl2A2QwGAxGN/3+xCSiOdpqHlCT3lRoQrqZ4zg3AJdOMyeAqHdWKYDJAL4EYJimvn8km3Mb\nDYht9SgrhLwcDkV5BtSZIzH1cn+EYH1xbBGKC3Kw65QfXh0HMI7jYPEJ4DX19I8vL0VlR/dWqwYD\nh5umlSW1AwCbT8BTOk52LQ4e7xxUV+kTh3evwq+ePBhF+YlCc/LIQfjeZent7v++9VyUattAPvK9\n0fjepUPS1mcwGAzGZ5MztjTSVO2VRFTJcVwpAA+AZwDMjVPNR1kOVbhD+x/VOzujK3k9O73mB1DB\ncVyF1WaHzS9hnGZvP39kATrcqkp7cIEBvLaHcac72b4bEpSYZ3aDNYLDrQGsq0m9wg3wMt477MKw\nQUakck4fWpSD9yu9sHoFTB5RgFu/VIaj7SHsawxgX4MfYgpV/ciSvCSbNgBMGlGAX1/XHe722MrO\npDoMBoPBYPTkjHndcxz3CBE9H30NYA4ReTSBPSlaFlc/aoO/GarKfhJUu/5yzUFvMhE9mup806ZN\no4Vr9uDSMd1JcUKCAgMHEIAul4CcHA5hUcHFo7vrHG0PoWxQDsaU5ibYmiOCgoIUMfJEBIdfxIgS\ndVLxyjYrfvvtzDHnwYgMiQjranz4yZVDUJTGQ5/BYDAYjHScda/7OCE/Pb5Mc67zaGWl2v8pAKZp\nq/dSrc5ydNv3S6HZ69MxtjQPEVFBSFDQaOfhj8io6QqjIIfDF0YVYMKwfJwwRxLaeEISzhuWl+RQ\nlkrIa+ONCXkAaYX8gv127DylxqkPKjBiSGEObvtyGRPyDAaDwfhE6PcVvSbYP4Rqiy8D8HMi2qqt\n6psBlEVt+NpsZKr2Oqqab45T18/W+vlSutU8oK7ot+4+hPxcLhZS1+4SMHZIDoICod3No7QwJ6ba\nj+IJybGEOgwGg8FgfFbIdkU/YBLmXHrFFKqtroQkExrtPC4aXQBHQMLwYtXhzOoTIMjA+DhBv/aY\nB9+5eDAKNEP76moPbriib8ljGAwGg8H4JMlW0A+YgOToKj7HyOGCkWrIV1TIA8CokuSwuusvTxTq\nP7y0JKkOg8FgMBifZQZkQLLB0LfNNnL6afczBoPBYDA+LQw4ybavKdCrjUYYDAaDwRjIDBjVPaCG\nvV08ugBlgwbUZTEYDAaD0WcGjDMex3F+ACfP9jg+BwwH4Djbg/gcwO7zJwO7z58M7D6fGc4johGZ\nKg2kpe/JbLwPGacHx3EV7D6fedh9/mRg9/mTgd3ns8uAs9EzGAwGg8Hohgl6BoPBYDAGMANJ0M/J\nXIXRD7D7/MnA7vMnA7vPnwzsPp9FBowzHoPBYDAYjGQG0oqewWAwGAxGD5igZzAYDAZjAMMEPYPB\nYDAYAxgm6BkMBoPBGMCckYQ52p70APCd6D7yHMdNATAJAIhoeYp2U6J70WfbhsFgMBgMRmr6fUWv\nCfmfE9FWAFM0YQ0Af9KE9aS4Yz3bfdjjcNo2DAaDwWAw0nNGw+s4jmsioskcx80AMImIns9QfwsR\nfUd7nVWbKGXDhtOkiRNOd8gMBoPBYHwmOHLkiOOs5rrnOO4RAPdrb7+kHZsCYHqWwrtXbSZNnICK\nigrdMl9YRlGeATnGvu1Tz2AwGAzGpw2O49qyqXfGnPE0wXw/x3Gl2iFn1P6urdazoVdtZIVwwhxO\nOHasK4yIqMDiE2DxiVhf483+IhgMBoPB+IxzJmz08Xb5ZgCzATi11wDggbZaz0DGNhzHzeY4roLj\nuBLs37UAACAASURBVAq73Q6jgcPFowsS6lw+thAjS3Ixbmg+Rhbn4Asj85NO5AnJUBSWIZDBYDAY\nA48zsaKfDqBMe10KVVgvh+Y9rx07DABxq309dNvEQ0RziGgaEU0bMUI1U3Ccqp4/aYmAlxQQEerM\n6qqe44BRJbnwhGQAwN7GADaf8CAkKGBynsFgMBgDkTMh6OdA9ZKfDahhcUTUDMCjqd+HxYXKbYs2\n0sqmRVX0adpkxYWjC2D1SXAGJJQUGmH2itjXFEB+DgdfRBX0F40uwBVjizCmNJfZ7xkMBoMxIBkw\nm9pcfuVUOnCoHIW5Bpy08rj4nAKctEQwfHAOhg1SfQ49IRkEwtAi9T0vypi714mH/2dkr8618IAT\n0y8ejPwcDmVFOTAY1EmCLMswGo39e2EMBoPBYOjAcdwRIpqWqd6AyYyXa+TgDEiwB0RMHpEHALhg\nVD4Kc1Uh7A3L8IZlDC3KQadbwN6GAPJzjfjKxEHocPEZ+1cUwsKDTgDAXV8bhrGledhR74czKMbq\nvLFLLSciHGgK9PclMhgMBoPRawaMoOc4QCLA6pOQl2OAySPCGZTR5VYF8ZBCIwwcYPGJGDc0D984\nvxgAcMW4Qowbqk4MQoKSsn+DgcN3Lx6ccOzn08owYnAeHAEBAPDr61TNABGwvzmQ5ODnCUlwBET0\nZP5+O2w+oY9XzmAwGAxGagaMoAeAScPzcfm4IgDAmNJcDC/Owfmjur3wiwsM0LTsMHtFEBHycgyo\n6lBD8rbX+9L2f86QPN3jK48mhuwZDBy+PqkYml8gmuwRLDvsQqdbQIs9WXtw99UjMLKku+8wL0GW\n9ScdikL4y5oumD0Cnl5v1q1zyhrC3D32tNfCYDAYjM8HA8ZGP23aNJq/eg8uH1sYO+aPyCjM1U+U\nY/GKONQawA1XDMVJawQXjipIqtMfWHwCBuUYMLgo+9xEr2wxo8kp4fVbxuuWRyISCgrU/v65wRwz\nJUSRZAXukIwRg3NPb/AMBoPB+NTyubPRA0gQ8gAQERWIKeLm3CEJ111YAl6Uccoa6dV5iAjOQGZV\n+3uHXdhU40VdL/v/7XfO0RXym2q9qDOFY0IeAB7//jkJQh4AcoyGlEKeiNBkC6U9/wNL2sCLclZj\n3XLCi4EyWWQwGIyByIAS9IDqWW/yqHbwEYNzYeAASU4WRIPyDcgxAJvr/Em290wEBQUbav0Z6/3w\nsiH4xdXD8eWJxUll9eYQDrcmO+zZ/QJe2mpNOt7siOBgsx/DBp2eV787KGHBQXfaOm/efh7yc7M7\nT1VnuF9yECgK4YlVnZCz7IyIcMLMHB4ZDAYjE2dE0HMcN137ey7u2BSO42akSmWrlU3XcuT3PDY7\n23OXFBgwcnD3itcXlhHUcbI7tywfhXlGXH95aZJQk2TCphOpU+UW5xtxx1eG4ZVtyQI5nsGFxlgC\nnyiKQnh1uxVGowG5OiaF4cW5uOurw5KOnzc0Dw9eOwojU/gJZEtZcS6e/PFYOH3JToHxvL7Ngjm7\nbRn7++N3R8NoOP0cBAYDh69MHIRUXbXYE7UivoiCN3Y4+3SuP37UgU21LBUyg8H4fPCp2KY2+l5r\n44lLo9usHWvOtE2tpBAsPhEGA5dgkx9alIMhhUZ0ugW4Q1LK9opC+PiY+vDfcsKLr04YlPY6T1oj\nuOaC5JV6JgwGDq6ghNGDc3Hl+ORzcByHYcXJ9nxjD3X8Yys7e33ueJ7eaIE3LEOSJChK8kTo/m8O\nx8yvlum0PH3MHh4fHUnWKlx/xdCkiRGgfjZPbzBDlAl3vdOCLo+AIYVGvHHbeQCA98qd+NuarqzP\n/8KN4/G9S4fol20yo77HfgkMBoPxWabfBT0RbSWi6K51k4ioUlvFH9bKn49uVBPHzVDz2QNqytzp\n2uuoRmCSTpsEcgwcRpck26VP2dSV4NjS3FiinJ7M2WOHzS/hu5eoKnxPRMGQDM5zF44qwFU6glqP\nniv/v18/FoMLjfAEUk88MvHU9aNTlpm9AqQUXvtRXrppPNYe8+CuhW1YVeXBQ0vbE8rz8nKQl5f+\nHgQjEhw+AVtrPfjf5R1Zjz0iEjx89tduMHB4+xcTkWvksHDWRMhEmLmgJVZ+y5eH4e8/Hqvblohw\ny9tNWfscfGXCIIwanJ3ZQpQULNyXXXTDrW83ISzoj+GpdWYsOODIqp/TwezhMW8vi8ZgMD5vnDEb\nvc42tcO0lfojOtVLAbji3g/TBHszx3HuHmW94pJzCqPjSek09r1LBqOsyIi8HPV23Pql7pXsiko3\nBClZaC7Y74TJk13s+0+vLAXf4yEvK4TXdiWqxvc3+uHT0Tq0OnjsakgM/cvJSS2E11R70eVJr5oH\ngDu+MgxL7pmMRruAH1+hv8JNx8ZaH9454MT0S0vx4gz9CAE9Jo4owD1XZ9xCOSXnDs3HgpkTs6rL\ncRzeu3dy1j4H37qwBEOLu80j9y1qQYjXF9CyQnCGs5tALLt3Mgrz9MfwxA/PwcyvDc/Yh90vYFud\nJ2O9VEgK4M5yvADw2nYzHl+lP4F7easFR9tVHwlvSMKG4+n9PhgMxtnjU7tNrdbOA+AZAHM5jpuk\nUydh9zoAaLLzONapql6Pdan/fWEZ7S4BNSZ97/fzhhXAG5ax46QPDdYIKtuDsbLLxxbq2tJnXj0M\nY3p4u1d1BLHpuAcnrWGsPOpGjXb+/8/eecfJVdb7/zu7mx7SCdKrelGuSJKrl9+1cBX16lWwxIug\nSJEEvIDoBUEE6QJRek8CIb2Qnk1CyqZukk3Z3rJ1yk7v/czpn98fZ2Z2ypm2JYFw3q/XvHbnnOeU\nOeX5Ps+3HuwOkz3DJl5epqNfzphEvNA/iPAxomrSnpEVRGMqir9Vd3/rbLp4anaVvk0NPnpzb7bd\n/eEffC6nKjsfv5g5hf78g3PztuEEmZ7Zaktb5g0JOQddVj9HR3r7BzWPb7LQujp1WzzLCiQUOVMf\nKH/94bk0dpS6gB49spz+7/rcmpViuHuFkZosShTEbxYZ8iZO8jEi7e+M0C/e6xnQsS6cMooe+l7x\n5/uH75xLz//0QlpQ7SSbPz3/w79dMpYuiD//oZhErTneLQ0NjU8AAIb0Q0QziGhG/P95RPRw/DM7\nvmwuEc3L2GYeEV0f/392yjaTUpflO+6XvzIDTRYGABDlJGQiSXLWsqGm1hhGhz2KMCMUbBuLCfjw\niBvuEF/Uvl/ebcdJW3Swp5gkFOXR62SGbH8JDG4WD37Ul/wuSTLW1nrT2jy8vg/OIKe6/VF9GPO2\nW7Gu1lfwWM9stWH1cTduWtgDlhdV29y1zABZlvGHVSZ8cMiJYFS5N0FGxC3v64v9WcOG2cfhp+90\nF2y39Igbb+11FL3fyiYfZDn/M89wIoyuws/Um3vs6PPEij72YHi/2olnt5qxucFbuHGReMI8Vh/3\n5G0jyzJuzvMcaWh8EiGiWhQjl4tpVMonLqATQnt+XEhflhDUGUI/IchnENHclPUzUgV9fPncfMf9\n0leugSAWFuaSJKPRrHRuzZb8gq7NyqDZwqDNxuCkXb3t+4dcOYVWLkRJxuObLSVtk+DDwy7wQvpA\nxuBh8X8pwrUYjhrCeO+AM2v5+loP/rpxYOc2VBjcLBYcdA1qH4Io439XGZMDvKa+MF7dbYc7XNzA\najDs7wxg1Qk3gMSAonfQA01/mIOniEGhLMto6gvh0Y3mrOckk5reMP42wOcwH6IowVXiO5FA72JQ\n1ebDgc5gUe2tPhZ1hkjeNr4Ijw11hQeOapi97IC2Gyx3LzeqDjoa+iJ48WN71vLFh92Ictog5bPG\n6RT0k+Kz9rlEND9l+dy40J+XsqwuY/31qQI9MSgoJOQB0MyZM9MugJjRsfZ5lY5HlmV0OmLJ/4tB\nFCWIYnan2W6LobFv8LNsWZazBFuYFfHEZmtW2yO9YdXzru4OYu/J0KDP5Uyi1hguql1low/Pb8++\n1gnh+vw2S0kdfpslioNdiqCSZRmtZuU8RFFCpz2K2xYbit6XGiuPuXGsJ/237esIYGmNCwFGxH2r\nTDm3FUQJe04GBnX8QjT2RfB/a0obeKrR5cgvwAGguiuId/ZlD1iHgjAr4uH1xf8OXpRx26JePLHZ\ngvcPOPHCx7a87R0BDn9Ynb7/ECOAy6NV4AUJ7hAPR4DF1ub++1hrjEBQ6aMyEcX+fe/tCCLKKhqu\naExAQ1/h663xyeK0CfrT9UkI+iYLgygnQe9mEWREeCLKg3y4J3enb/CwONqrPOQbG/xZg4RiyDWr\n5zJG2e9XuxCOZb/Ix/TFCaVUHt1oTp6rI8TB5s8vjB5aawbzKRv1x3gRNy3ozVpeZwjDFy5u1rjm\nhAd/25Q9c3260oplNW5EYoLqDHRZjRtv7nVgb3sAoQxzTJgRcKLEe9briuH+VUbY/cWdd4slgld2\nZc/eqk4G0JmhYaozhvD+QUfBwWsoJuLRDebiT/o0MneZHlG2/3l9aqsF25pzD1L2dQbxwOrcg5x8\nHO0NobLJP6BtU5FlGT3OKJ7daoEzWLy549GNZjSao1h13IPq7hBqjRHsz6PV8EcFHO7O/fwtOuzC\na1U2rK314rghDGv8mXtrnzOp0dzU4EOIESAIAj6oduGpSgtiGf2D3h1DjysGTpCwo3VwA0RnkCuo\nfek/Lou1tT6YvRyazENnsjzT+MwJ+mtmzITJy8EfVR5UXpTRbmPgZwS0FFDRDxaWF7G0RlHV2vwc\nPjzsTq57a58zTW3bYCpu5A0o6ufX9xRvl1VjR4sfD31kgiPADZkacsUxD5bV5Ld5qrGt2Y8/rx38\nTA8A/rnTniZob13UC3+0sG/EPSsMqDXk7zgirIjfL88vMDrsUTxVmV/tPXepAW3WgXdSJk8Ma2uL\nv86/X67c58Fw5xJDyfuYPb8bBvfw2/B9YS5rtttmjeQc3PxhjQmWlEGVK8RlXc9Xd9sR40To3Uza\njNbkLf06vnvAgZXHPZh/wAWbr/9dY5jCJheTj8WfUsxvLZYojvSUpqGLsQIkqb9vsfpY9Lpi2N8R\nxElbGEx89v6XDf0TBFmWk6a6FUc9aMkQqicMYdT0hiFJMprMDPxhASuPedA+AH8hT5hHm1W9Lz5m\nCCcHEpIkY8UxL7ocDJxBDm1WBlublHXH9GGYPP3XNjExkyQZnU7lGQzHxKTW9qMTiq9HkBHzTvY+\nrXzmBP3V18xIuwBmHwdHkIckyeiwF98JCSl2zUCK4NjaFMAJwyf3QXlssyVrtm71c/j7NhtWHnOj\nrohzrzoZAMsXHoSYvDEY3cM7eCoVjhucgEtFlmW0WfuvV68rhjsWl+64d9IWBluEBkUQZcxZZijK\njv/Q2j70Oot/nu9aqsfmxuLt0+FI6deRZVm4ApyqeWswbGr04i8FtA+/X27AnKWG5LN/70oTAoz6\nNXeHOGysT78Wu9qD2FiXfhyGE3HnEoPqPhTBaMZTlbm1C9VdoTQN0EPr+tIGHIAym97aNDC/AUFQ\nH9C+d9CFelME/1TRAq0+4cXiI+60ZWFGgC+Pz4racZ7aYoXRFcvqa/6ywZw2KbEHlP43wcJqFzwF\nNHCv7lHXSImiCEGQwAsS9p70Y22Ko64kydh7MghRkrHiqAcGN4t2WxSHe5VB0oIDDoRjImRZTpsI\n6D3Zk56jvRHE4v2fJMlosTIQJRlLjnhwqDsMR5CH0cuix3V6/DbUGFZBT0QTBrLdcH5mzpyJWmP/\niLzZwiDICOh1Z98UQZTRZlMXVIe6w7AFlAf045ahs2U2mCI5X9BPCm/tc8AfGfpzlCQZNy3oKcpZ\n8kzkvf121c43lU57cSrNLns06WQ30MHNM1tt+OhE6RqZfDywxoiqlmzB9cZeO17fY0erNYI5ywwl\n77emO4R78/gcDBVbmnxFmewOdQfx1l4HvCEuS81diEWHXHi1SnkOBEGEIIjY3erHLQu78eER5X6w\nvISbFvTgpD33jPmvGy15B4X6IrQrvCjj7qUGHOzOrTV4YrO1JFOfKIqIsCLe3udCi4VBe3z2nkuA\nu1UEfyAqpA0Y19X7sPiIB44AhwAjoiHuE/WH1X3geBGSJONIxkzdFxUQZAQ4gjwOdIUgSRJsfh4s\nL4HlRWxp8qNG3/++tVoZuMI8nt2q+OlwgoQAI+JgdwgbGnx4ZbcdJi+Lg50hhGIighlmvA0NPjiD\n6QOm7c3+pOOvPTh8DsBDKuiJ6LtE9PP45xdE9EIx253Kz8yZM9HlUH/Am4ZIdd9ui2JjQ3pnxgkS\n9nTk9xCWZRnv7HPi2W02+CLDd9O7HQz+sTNboLy5z65qX3tpp31A/ghDjeIpnq1xuH+VEfs7BzfY\neme/HW/syb4mnQ4GngF6hg8WSZJx08L8Ax+WLTxr+M0HvTlnr4DyvM5VEa6xGA9exeHrVwt7EGYL\nd+xRVsCO1nR7tiPA4X/m9xTcNpVbF/WWJEgYTsS1L7Rjc6MP71c78YKK9zkAvFplhyfeyT60ti9n\nWOqOln5T0tt7neAKRCkAgN7NoMWce1DWao3Cn/KOv7Lbjm1NAdyz3AhHIIa5S3vxYIb5ShRFNJqU\n5z/KiXhnrwWyLGNZjQcd9ijWnfDg8U3ZzqJq7GoLYN0AIwxKwRXksC/e77VYGLxe5UC3M4qVxxVV\n+e42P57YbMX8g050O9Kv/0cnvBAlGYsOuSBJMp6ptGJvhzLg2NjgR68rpurHlGB/ZwjeEItXq+yo\nagsiwAi4b4UxbfDT6WAQ40TYAjwWHXLhzX12+KMCjvSGYfKy6HbGcLQ3jOOGCFosUXgjArpdLPxR\nAZXNAXjCAna29fc96+p9kCQJ+zpDaeHbLC+h1RqF1c/DFxWS0VknbQza45PJY4Yw2qwMtrX48c9d\ndmysV57fdfVKCKwvIsDkiaHDFoUrxIMvYUI01IL+GiJ6kYi+Gv//z8Vsdyo/mV73hdjU4Ee3M7sz\nXVef+yWRZRmCkP0ABoqwDa867oVXRU3WXYIadqAc6griDZUY7F1tgbzOWyuPebA5z/VIpdEcweLD\n2SFxZj+bNriRJAmBDPUww4m4b8XAZm2JGWOdKYKXd2f/Ro4TwHHZ92fxYRdq9ErncsdiPWKnOH66\n18VgX4e68xfDibjh7W7wogxZlpM28zlLDap5F8y+GDxBDs4Qh5+82YV9Hf0dVGLWv7PVP6iwyT+v\n68O2uJ3UEeTwTKUFehVtWSl4i3SmTCUazT1QvuWDXvgiPNYc9yAcU+55jytaMMxwKHn/kAv1ptJM\nfKIk4629/ZED3U4G83basedkEHoXg1s/KN5sJAhilh+DO8zh7X2FfX2sfg7PbVMiBR7fbElzhMwk\nygrodsbQ7YhhT7sP9rgWtMUcQTQmoOpkEBwnYl2dF3szojy6HAxerVLOJxQTsfq4B8uPuiDLiq39\n5V12bG32wxliYVPxF6lqDyj+VxEer1c5cbQ3jFXH3ahq96PZEsX6eh+6HLG8ZsianhDarBFEWDGp\nQbAHOKw54U0OPn0p/bogyjhhiKDDHoMzyCdNMf6ogBXHPIhyEo7qI7AHOMiynCZH/IyATQ0+WP0s\nwjEB+ztDMLhiaLVG4Qnz2Nbsx/+uMOLxTX1YcMCFhQfdeG+/C4sOubC7PYAdrQE8vE7dt+kzZ6Mv\nVdC3mCPotDNJD9Ri2Nbsh61Ij2lAeYET6n93mM8SqoIo45Xd+VW6xfDIMHlRt1gi6MqRPyATvYvJ\nmuU9ttGMP642oaq9X+NRZ4oM2DM6H64Qh5oSnZcSmLwc9ncGcX+GirgU1XhjXwR/KiGkrKrNn1Tj\n5qLeGIbFx+KupQbctKAH+08GIIiK+vH2xfrkDPStfU6srfWg2xlLqh8zEQQRoejQaTACjIg5y4w5\n1xvcLH7+buFEQADAcmJRPiTFsOekH3/MuA/H9WFVzcE7+5wF1e9dduYTEanSbotmOcDWGcNp7yfH\nS2izRtDpiGLpkf62oijBlCfh0fo6DxYcUATvy7scJWn56k3RNN+lzY1+/G2zBWYvh7f2OdP2tfKY\nN2lWSIT5PbDGhB3NXjyxyQJ3WBGSvQ7lNz1TacGBeJhqm5XB7nalL+UFCR1x7e3Geh9arAwsPg73\nLNPDHlAGn5Ik4/FN5jQzRmWzHx12Bkd6lfNdV+fFUX0Eu9uDsAd4nLQxcMYH0j0uFhFWRLutf3te\nlJVZuzWCE/owDveEcLAzhL0nA9jU6EeIEbCm1os9HUHs7wqh2xnD3o4gVhx14+VdNmxvCSTNDFYf\nB0mS8XqVHevqFC3I6hNevLnHgVpTBOtrPdjR6gPDSWB5CbtbA6hqD+DDwy7s7+zv54ZF0BPRV4ts\nd338kxozPyMeEz87xzaz49s8nG9Zrk9C0Ec5CSeMEZh9ykOTLykOx0tZ9pYEmxqyZ7KOgGKXe3e/\nE3Wm/DZVWZYRiAoF231SMHrTvX7PZMKsiFsW5p8liZKMXy3sLbrTC0V5HNMPPo+BPyokk9jcv8qo\nqsKUZRmHuvoHT2LcByLXub64w4aFB92q61IJMwLMQ5gBjxMk/GpBb8GQP4ObHZC2Yc4yQ1H352+b\nLaoOjFua/BBECfevMmXNXmVZRqs1ild2OXDTgh40p0wIjurDaLVEsOzo0Po55IPlRNgzwme3N/tx\ntLf/mXMGOSw94oY7xKGmN/1ZfHmXI6ep6KNaV1JYJ7zVQzERb+1z4LeL+rVdsizDFeSSs/EEL+20\npyX3iXFi3nt+rDeMDXVemHwsltV40GiOYnd8MtDpYLAhQ4tYZ4pia5Mfh3vC8EYUgZzKhgYfWi1R\nNFuieCueU2FfRwDPVFpwIu63VW+KoOpkEId6FNV9rSkCX1RAu42BJyzgQGcw6azH8iJeqXKAFyR0\nOmLJ67a/M4Ant1iwvTUAZ5DFcUMYa2t9YDkBDj+L57Za0GoJwxWf1HU7Y3jwIyOe3WpBi0Ux6Wxv\nCaDbGcPCgy70uhg0mSMIRPlknpf+a+9EnSmMrc3K5Gl3ux/zdjhQ1e7Dg2tNeHqLBf/cYR06QU9E\nc4jo3bh9/hIi+nmB9tcnEuUQ0e6UdLhr438fTixL2WZGRorcGWrL8h336mtmgCnCYzwX1RlOKQur\nXXlVV4Uw+zisrSs+jeeyo560EKXMF3OwmeKe3WbLCpuSJHlADlJnCoKoCMihSo/M8hJWHx9Y6tb3\n9tvx53V94AUJO1sHH889EKpO+nNqBHJuk2L+ESUZc5fqB+X3IcuK7Taxz19/oIczyMEX4XN64J8w\nRvD91zoKenUDSs6MtzLU2GrmAIYT8USOrIE7WwOo6Q1ieVzQh6I8bL6BD5D+d6WxKEfVICPi5+90\nwxfh8bhKXogEqe/6vJ12dDuj6HbG8PimPuwqIhY+FBPx0i472mxMcgAQZkREWVF1cNPnVX77ewdd\nSZ+RyqZAmibkmCGctHm7QxyWH80eeK467kV3gbTcjiCHA12htIEEw4lJe7goSvBmOBQf7gnj4xY/\n1sd9FyRJyjLnODNMYiYvh/erXfjHDiWb5oqjHoiihHpTGPYAh93tARzoCqb5yNQbI9jdHsCrKVpa\nvZuF2csmzQDr6nzoi4c5Gz3Kck6QsPdkAFubAziRkmfAFebRZIliU6Mfa054Mf+AE39cbcSCAw7c\ns7QXP3itvWhBrwPUi4sk0Ol03yWiWiKaRUTfIyIPgJfybtS/bS+Ay+NFbC6DUuhGrd08ItoNoCpe\nz34GEU3NXJZreyKisePPwqyZM6lMRxTlZLr37jvp9ttvT2tz3XXXpX2//fbbk222NPnp6vPH0G2z\n/4uIiGQQlemIrvrPX9JbT96b3MYXFeiH3/8ujRlRprofIqIYJ9H3v/cdKi/T5WyTeT4xQabf3XE7\nzb3rTiIi6nGxdMX00ck2YVaiECvTXx+4i77xo5voqCFGt/771LT9+KIiTRhdTnf97o6Sfnu+Nrf+\n9jb640dmevNXF9EHh1z08gM/o+lnjSBPRCRBAj36wJyi9nP1f84mPyPTd66ckGzT4+Lo7LMqaOKY\n8qLPZ7janPMv/05XnD0qWcAos80LH9to/TM30fiUAje333473XbbbbS50U83XD2ZopxEX/36t+jC\nKSPT2pRyPr9ZpKfff2saPXbXDXnPedUJLz1654/pkpTiRcUc68pvzaYH7/0dXXGOUtUxxkv0b9d+\nm6ad1V8N8fbbb6dbfvNbemyzlf7x8wtIp9OpnvNtt91Gj2yw0HM3nk8jK8rouuuuoygv0bh4lb5E\nm++/dpJ+OWsqzf3mOXl/O8NJdOcSE514+zd04eT0a/ibW39Lh3sj9O0v9D8/CRheppnXz6Z3n/lD\n3t9+wdd/RsJlP6Rb/n0a3Xj1FNU2ha6hycfTYw/cRXf97s7ksn0dQfrFj79HX7lgrOp+vBGeltR4\n6Z2HZtMFk/tLaf/o5zfTbbfdQeMriMaNG0kfHnHTh4/OpjJd7n5je4ufXrj3p1SmUyozFnPOiTbX\n/eRmarYwdMPVk2lXW5AevO2/aer49Ps+++Zb6Z87HXT3t6bSeZOU/scbFckRFOhzE0bQg/fdRdff\neAstO+qlR394LgGg//fN62hURfo5X/tfv6Irzh5J5eVlJMsyfec73yEiIkEC+RmJHr7/rrznzAoy\n/dfPbqGnHronuayyOUB/vPVHNKpCR2NGlNFZo7P7jQAj0sxrv5V8fiKcTNffcDO9+OjviRflZIXS\n6667jqKcTCPKdSQDdM8cRV6sq/fRrIvG0SXTRtF1111HggQqL9MRw0t0392/oyv+4xcEgHwxmQRR\npifm3kAAaMzIMpJkop/d9Bu6d+6ddPZZ/ff5q1//Jo2u0JEiDnQ09y6lf15yxEO3fH0qbW/102O/\nu4Gmja8gd1gkCaC5v7uD7p97B1V1hEin09GXzhtDv7rh+xTlZQJAnAi6567b6f/um1sHYBYVoJiS\naF4iAoA9AP5SgpAfVJnaHMsyj5GsXieLAnHxSnDjRpVelG/K2AqqSHlYEzJ61sXpNeejHEiUyd5w\n3gAAIABJREFU+gdHMkB9XpbqTP0V746bIuRniq+qFhNk4gQkH0Iioiumj05rc9bocpo0ppx0Oh1d\nNHkUXffF8Vn7ESSQHB+43b3cSIKUfxBXDId7wnTjv55FRES/+8Z0mh5/gKeOK6dzzlIvlWvx81ml\nfWMiKMqnl+C9/OyRNHFMceVjEzT2RemeFUbVdQCRO8SprivElZ8brVqlMMH3r5xII8t11G5nKXVs\nLMlEezoixIsynTWmIk3ID4Tld15G/3HFhILtbpo5mS4ucKzHN1uJF7OfgdTz50QQI6TfqygrUBmB\nfnzVxKQw6d+2//nX6XT0j19cmHxuHUGBYnz68XQ6Hb3/20tpxkWKEOxxsVRrjCYrO6YydlQ5rZ57\nWZqQT1BRXkbf/sIEYjiJbl5oSN9uZBl9/bL0a+YK8+QOi8QKMvW6lWdiwuhyWnDrZXTj1VPotsVG\nMnuLKzOdoNvF0aQx5ckBfL0pSoGoQP/5LxPpyng5bDWCMZkmjCmn8yb2vy8yQPu7orTkqI/kMuUd\nuOrcsdTjyv38PlVppR98eRKVl+nS7svaOqWb/MtGS97zv2TqKLrh6slERPStz4+nyWPLs/qI8aPK\n6ekbzqfzJo1OnmeMl+mL54xODgoumDySHv2hUrVSkEBBldLHX/zcaCovV56Ldw+6yOJXrnUoJtHo\nCh3ZgwKtPuGlNlv/c8CLIHtQqfIZE2SyBQTyRZXv7bYYXTZtFF04WekzKsp15Ahml+I2+4VkVUXl\n95TRv8TvTWr/GuFkigkyBWMilZXpSJRksvh5mjK2gvZ2hqjXrZxXRblS3jwxwP+PK8YTKxBddd5o\n+t6XJtKkseU0dqQy6Jg8tpymjx9BZ581gpwhnl6vctCR3jBNGF1OkkzECqDE1d7c5KdrLx9HlU0B\nGl1RTqNHlBEngiaMKaMoJxPHy7S63k+iDCLS0biRZcRLMo2u0NGoijI6d+IImjyufzBRkEJTfiL6\nMxHtIqI1RPQQFWmnj2+7lhSBPY9UitqktJtP/Sr+6+Pts5blO1aqM54nImSpDwei1j9mUJxdGvqi\ncId4VJ3MDqNrNEexocGblRADUGxLW5p8eZ15jukj+Md2CzY1ePFyAcc8T5jH05X582en8vgmC+oK\nZIFLxeBmsTGjatj2Zh8O5glxW1rjwTMZ6t719d40T/uDXUEcH0CK31Jpt0XTKucNB5mpZz/J1PSE\nwHIiREnGT97qKip0DgB+t0SfLCrz67gne4Idrf6k2vjRDWa8nhK62OGIwlREDLfRHcKR7uLNE90O\nBncuKS1h0YNrjAN2dA1F+TTPdaNXKRrF8+nq3Zd32/CNF1rxxJbczrCSJKMxJePey7vt+O2i3qLM\nDCwv4WjKe1NrSN9PwtR3pDdctNMsoJgAntyivLPzdtrgCXOIskIyXC4aE7CjxY+dLX54w3wyjTfP\ni9hY50VjXxSv70mvL+CN8KjpCWNvR7Bg1rweZwwfVLuwNMO5MMQIyQyjAOAO8YjERLyx16FqBk2k\nGE7NBtjljMEVSnd83lDvS6Yof3OvEywvpjlVr631YskRJyLx98MfFdDhUJLlrK/zJfOqdDkYxHgJ\nr++xY097EEd6wzC4GITifjRrar1oszFotTCoNUYgSjKO6iOw+Dk09UXw0Foz/FERVe1BrDzmhtHD\nJvctyzKO6cOoNYbBChLW1fvw9j4H3tvvxBObzXAEeWxs8GUVLqIhtNFfk/o/Ef2iQPuhKlObtSzf\ncVMFvSvEZ9m8csXY5+OYIQx/hEvrIIuJtU3FHxWw6HBhRyggd8arTJYe8ZTk/V8sFj+LnTlseJn2\nbFlWYsFTYz5XH/Mki2Sksq3Zh/0d6fu9aUE37vgwO4f9cGL1s3h3b3EFUJ7bbktLZXwmwQkSfvxm\nN+5YbFAN+UxrmxF5cOui3qIHDKk8s9U6ZJUDCzkfAko4Ya4B9ro6L472BnOmMH53v0M1612isiPD\nifjflSbIsoylNS7oXepC9oQxjP0dAczP8K+xB7hk5rZ8BBgBq471C8OVx73YG59sNPdFEWUF9Lhi\n2N7iR32JTr+PZYTPBRgBmxr8ONgZxD932XCgK4g9HQHsaPXjmD6cDBlL9A+vVtnTctDbAyy2twRQ\n0xPGRylphpekeP/Lsoy1tW5sbvAnhWouFh1yZ/XhFh+bDC/d36l4s9sCPA5l5PxfecwDb5jDx60B\nhBgRh7tDWHnUjSM9IehdLJxBHvu7QjD7OIRiIj5uDeDprVa8VmXH89tt6HWz6HIwONQVRI8zBm+E\nx/6OIP6w2gQpnm4XUDJmzj/gQiAqYGtL/8B11XEPXtxuxd82W7ClyYsAI6LVysAb4SFKMl7f60CI\nEbCvM4Tnt9nw1n4nPBEBZl92ny7LMnhezPmsD6Wg/06Js/ihKlObtSzfcROC3h6PcdzVFiyYKMcX\nVWJBa41heONagK0qL7g7xOH9ajckSUZlU/p6tZsz3HTYmZxhQVubfSU5l2V6oN+93AiGE7G+BEfC\nP6xWvMNf2mkvOrOeIErodkTxwnYbtrcUN7uz+VlUd+dOTnTHYgNMntz3wxXisGaAznKpiKI0pKFq\np4u+eGRKKZSSIveJLRasOqYMlt4/6ERQJd+EL8KXnNP9SG8IzSVWWut2MMlENc9tNWNHiw+hPDH5\nhcic3acSYgQc7gnihDGMIylOvg/EBcVJewSrVJ5DpbhS7v3yvJiWNY7lRbyy244oK2Yl1Gm2RLOc\nb91hASYfm7eqXqc9BrMv3bv/g+r+0thWP4d/7FA0JQY3i/o898HgYfHqTnvSEx4A/rbZqpoQRpZl\nGNwxrI973Ktlzas3RZJRAd3OWDKEMDVmXUlsoyQo4+KZ8I70hLG1OYB19T4EYwIWHHRCECUc0yv5\n9VOFaKslgj+vM2PxYRe2NfvR7YphS5MPVe1Ku5P2GGRZxqrjHiw54k4WC3rwoz6ctDN4/5ALS4+4\nIctK3H04JiTfsSgnockcxY62IHhBSq4fDEMp6F+Mfz6Kq+/vKtB+KMvUZi3L9UkI+oQXZChPZiVb\ngIczpBRYsPhYBCI8DnQqoRuF8tmnhpaIoojFh4sLsZFlOZk1ajCsOeFNqyNfZ4rg7f395/TGXseg\nE4TIsoy3Syj9WWdUL51bDGZfDOGUEMd8set1xgje2uvEPcuNaLZEwQkSbkoJ3xrKfPdqHNOH0eeJ\nYU+7H4+s71fX7mr3Y96O9M7zF+924OPm4c9QVgobG7xpZUm9IfXr5Y8KuKWEJC2D4b/f6MQTm0vL\nA7G+Tul4c+GP8MlkSGoYPGzaO5RKvTGMJlMEr+y2p9UIUGZWxQ0M+jws5qvsP7WolJqn/842PxYc\nVD+vB9aYYFGZVPx5nSktUuLFj21gOBFv7HPi79tsaDaH8dN3uiFKMp6uVNrVmiLodQ0sSkCWZUTi\nwumBNSbo3TF4wjwWVrshSVJaGdwEassAYMFBd/Iac4KENfECNC0WBrIsQ5RkfHRCWe+L8Fhw0F10\n3pO1dV40W6LocsSS140XZTxVacXrVQ602yLY3xnC0iNuHOgIYkdb/wTCHRbQZo3CGM+HX9nshzvE\no8nCJDW63S4WUVYc8voOpTKkqnsiujTl+6XF7PhUf756zUyYfRwM8Wxd3RmFB2K8lBwN5lIbcbwE\nl0rmMQB4Y68zbSQaZES8V2LImyFHJjF3OPeorrEvkjZDz/UylUIgKiQTUQwVT2y2FlTHAcB7+51Z\nJV9TuXlhYdVwJFL6TLQYLH4OjkAsK0VpggUHXahWuW6BKA9DRpGfQx0+vLtfvdP2R3gEhigVstXP\n4afvFJeY5oVttmQRk00NPjy3Ten4H9tsxrXPN+OEvv+3/W2zBauOq5sufvleD9osp6506KHuYElJ\nawweFguqixuotlujyYQlH9V68fvlBlSmFJsx+Vj8cU0fbl7Yg0dyZCcDEA+PSh/Y5Qtf/f0KI7yh\nWFGCwhPiksIVUAb72+Px1S2WCMIRDoe7Q/ig2oXqzhAkSUaIEbD8qAeyLMPkTp91H9OHk74mvggP\no2dgeQwyTY37OwJYUuNBoymCN1Sqbr5alZ7zPsCIqDdF0Odl0yp6vrnHkcyI9+5+JzY1+PDBYRec\nQS4rhj4xmz+qD8MT4fFxawDHC0zWYryirgcUzYHFx6UVM/s0MWSC/tPymTlzJmwBLpn1KBwTwfAS\n7EHFLtJmY5I2H72bLajePm4Io7fEKkWJFLmJJAeFaDRHsbnJlxxppy5P8MfVRiw9MrS2YouPxcLq\ngcXlb2n0q6r1Wy1RSJKUd1Z952I93txrzyvoAeDWD/Sw+zl4wjx+/YEeL+2yp2ktCvFBtRNb6z3J\nLFnF8tv3e3DPMgNe3WVLdoSbGr2Ys8yQPJdSiLICXttthT8+e7P4OTy12YI/rTEW7bdxKrD5Y1iw\nz4LlNW4cN0Tw+xWGordddcyDv6nEdN+11FDSYIDlpTRH0NS8+09ssSRjj1NZcMCpWtuhFFIF/WA4\nYQjlNSup8ew2K47nqc/+ZKUVv5zfi1d327E7Je+6NcDCnVGnwR/l0/Jw8IKims5Msf1Gio8Ky4uY\nu1SPLY2+gv5BO9sCWHnMnabmbuyL4K4lhpyDsKP6MMxeFrIs47mtljQVfiqVTf40XxFfRAAXd552\nhXiYvYW1D0FGOO2z69PBZ07QXzNjJkRJBhsfmbVZlfS23ogwZAlRCtEWLyJSqmNMglerHHhkgxlb\nGgsPFMIFHuwoK+KeAjXVM4/d6SjsudtqiWL2u124b6UxyzGx3hTBvSuMObcdSI3vVIqxD+8/GcCm\nOg+e32pRzW6YD5YT0WpR7KetA5yx2vwxnIxXovNGeNz4dhcOd4ewqdGHWX9vw/o6F2wlDEDuXm4o\nKXJiOHCHOdy70oBfLShuoPNKlb2o+g+pBBgBz2/rN39sqnPi5V3FD+6Gg4dS8vvn45g+fMr6mFQK\nPd+yLOOljKqJzUU816/tyU6D+9EJL3a1BtJ+Z1V7AGtP5B4k9bpiyYiNviKEtUbpfOYE/VVXp9ej\n7/NyiLAiTtpjkCR5SGoI5yp4o5bHPhNvmEPPEBaw+aDahQbT0AmA9pSc3pWNfiw61D/jf7/amTWL\nr+kduF1+oNy6qBehPNXaAGDeDqtqoaB6UwQvqcz+3tpnx8sFcs6XwjNbzPjPl05mORwV0nbkY0+7\nHydtw5NK+Zb3ewuqOhMZwYpl1VE3IirRF6lwnIBQmE06NS486MKf1piwI0dp6IfWmnCst7QQzRAj\n4Fg8PO2OJYa8pV8BRTDet9KIOUsNJR3n79ttiHJiWigcANy7ylhSJbJS2VA/eE2Exqebz5ygL1TU\nJlFacFd7EGFWCVdILTeYidXPYXuOULNMG/maE+qV6VJpNkeLVukPB8f0ETwZT+n54No+dDtzd3qR\nmJBWarPXxeDj5uHpVBhOxK8W6DFvhw0LisjHXgrv7LMnZzRq+b+Hgteq7FhXN7w5z9/a68Du9uxn\nZ89JP26e35Gl2TnaG8pbSnWgPLPNir9vy5/HYU+7HwtzOJTd9mEPbnhb8SdYWO3EnKV6PBkPcVvf\n4EVLXxhMDv8Mb4jLq8Gq7g5m5XM4aY/i2W2lpfR1D6J2+FOV1rQZb75KexoaQ0Gxgr5gCtxPC7Nm\nzUJtbW3eNn0+nhhepImjK2jSuAryRyU6b1J2diFBkEgGkT8m0ecmZmfpemOvi/7wnelDct7PbbfT\nnP+YSueoHGco2NLgpx/+60QaUVF6tsAEkgx6druNnvrx+UVv440IdN+qPgLpaPWcy1TbyDKo1Ral\nfR1RuvTskTR+lI58UZlmz5xCBg9Hz26z0aLbLo3vjyeWl+n8KaNV93WqWHbUS3oPS0/Gr4UtyNLY\nigp6otJGT/34XJoyvoRsVXloMEXIHZHo+1+emLfdA2v66I5rp9FXL+pPv/rBIRfpCHTtpePpyvPH\n5dm6MPu7QrSpIUCv3XRRUe1bLRGyBQX6/pcnF32MZ7dZ6c7/N43OnzyqcGMNDY0kOp2uqBS4wzK7\nJvXqdfPif1VD5SgeX0/Z4XVZCXbUPokZfaGENu4wr5rFLpXNTX60Wfvt1QurXUVlsvokwPIintzS\n7xz17oHCpTiL4a19DqytHdqZqy/C4w8pJWtbLRHU9Kg7NK2r8+G1IjOdBRkRty02DMUpFk2bNVKy\nnbbJHMFcFa/sxYdd+OCgHZVNA9eibGvy4fGNZkRZsWjb+uliT3tANdGShoZGfuh0qe4pd/U6PxH1\nUjyZjso2iYQ680hJsHM9KYVwiJRUulnbpX4Sgr7TESuqepaavX1zow9HekJYnOLlbvPzeWPyM+mw\nMYOyXR/Th2H1FedPEOPErHhgWZZRZxy82jYzNKjPG4PDzw5ptbfhgBck1PSE4c0xMPNHhazqZaVy\n88Ie3L3MiF8t7MGOIqqB5eLelSZYUhwUa7pDuG+VCdVdIeiH0J9DQ0PjzKRYQT+sqvtE9br4/7MB\nrMvRbh4RnQCwTqfTzU1dB2BBfH0vgAW5jnX1NTPR1FCX81yarTH6yvm5C0+k4o+KNHlcBTmCPDG8\nUmhgWgGV7HFDlCKcRMGYRDdcPSmtcl0qJ0xRcgZ4+vHV6qrNQz0hunDSSLp4Wr+KOhARaeK48qwC\nI4Io0/bWIN341ckkSKCnt9rouRuLV6+fibhCPL1c5aJ5P79AdX2EFWldg59uv/bsQR2n18XQJVP7\nC3cQET1VaaGf/OskmnlJdsEhNYweli6cPDJtHxoaGhrFUqzqftgEfbxKXT2AqtTvpFJuNr4uEBfq\nDxPRVACPpKzfTUSPAKjPdbxrZsxCQ31+G30+1jf46RfXpAvfA91h+vbnz0pbxvMSjRyZXXFNkmSS\nZNDIEfmrsQUYgRhOpvNU7JG+qEA9Lo6+dqkiKN7e76JJo8vJHubp1q8VtuOLokgVFeoV5U4lejdL\nz223J+3rA+HelSa6/z/Ppn85d2zhxp8QupwMXTBpFI0dVVpFPg0NDY2BUKygH7apRFyY363T6SYl\nvseF/tR4fflU1hHR5fH/LyelNC4REel0uhmkDBiyhHxqmVqf151c3mqLkSz3D2DW1ftIlGTa1hLM\neb6ZQp6IsoQ8EdG6xiBZfNnlLQ/1REilImgWk8aOoPMmj6Ka3kiyrG4CXpTJHekv+Th6hI5+NmMS\nPfS9c4ty1ksV8h/V+ml7a6DwCeUBAK045ilpm7nLjMTyMk0aU06He0IDPvZzN55LX/xccRqYTwpf\nOGesJuQ1NDQ+cQz5jD4umAlAfVzl7iWiABH54qr55OxdbTsiuoniavz48oczNQBqZHrdWwM8nR+v\nS9xiZWhEuY4umzYqrSZxIURJJr2bpd0dEbr3unQv+9f2OOmP3z0n+b3BFKGp4yroommjacUxL914\n9SQaPzp3p3+oJ0L/dvFYGjXi1KptN9T76dJpI+maiwp7YwOgxTUeuuP/la7mZhieRo+uoLIyTS2t\noaGhMRyczhn99UQ0Jf7/JCLSE1EtEVXFl10e/06J2X5cyM+Kz9onpQj5uQkhr6IFSEMGUYeDTX4f\nnSLQrzpvDH3xnNFJIe8MCVmzaTViAuikg88S8kSUJuSJiK48dwwd7I0SEdEPvjyBxo3Kf2m/ccX4\nQQt5b4SnMCOmLdvY6KfNjX7V9gBofaOXLp9aXCifTqcbkJAnIho7dqQm5DU0NDQ+AQzHjH4SEf1P\n/OtMAHfHl88lIh8pnvQJ4V0HYGb8/9nxbfRxbcD1pHjb+0gZOPwyYe9XY9asWThy9DiNrCijFmuM\n/jWP412LNUYXTh5Bk8aq27MDjEieqEhXnD24mO2Vx710y9emDmofAKjVFqN/PT/bVl3ZHKBJY8up\nsS9G3/3iePqSShsNDQ0NjTOTYmf0Q+65BSBARFne8Woe8wkhH/9/Xca6KiIqOutGTJDJ5OXpgikj\n6arz1AX09pYAzbpoXN5BABFRRZmORg2BJ/T08emXN8ZL9PzHTvrttVMozEo0I4/6fOUJL00ZU0HX\nXzmBDnZHVAX9T74yiYiIrr1kDJWXa7ZhDQ0NDY1szvjMeGFWosO9EfqvL08kV0igdnuMzp88kj4/\nPXswsKkpQD++aiJVlKeHsbG8TKNHDp0aussRowAr0deKDMPS0NDQ0NDI5LR73Z9OjF6OQjGJOFEm\nV1ik/3fZOPJFRZo+YQRd98UJSSEviul2+p9ePSlLyBMR7ToZoqP6SNbyYEyihdWKV/r6BnW7uBpf\n+NwYTchraGhoaJwSzjhBL0qgS6aOojEjy+hgV4QunDyCxo4sJ1HO1lxsaysu/OuGqyfRuSrhbRPH\nlNOcb04jIvXwPA0NDQ0NjdPNGSfou1yK5/2Ich1970sTaGRFGVWU62j6WUpmu2ZrLNn2xqsnFb3f\ni4v0VNfQ0NDQ0PgkccYJ+i+dOyZNmGfy+emjaGvz4BLJaGhoaGhofFo44wQ9EdHZ4yvIHRaIiLKE\nfpiV6N8uGVzpTg0NDQ0NjU8Lpz8x+jBw7sQRBEC1kE1Cha+hoaGhofFZ4Iyb0Xe7WGIFmXQ6XdHV\n6jQ0NDQ0NM5UzpgZfcKr/vJpo6gsR4lYDQ0NDQ2NzxpnTMIcnU4XJqLO030enwGmEVFpJe00BoJ2\nnU8N2nU+NWjXeXi4GEDBgiRnzIyeiDqLyRCkMTh0Ol2tdp2HH+06nxq063xq0K7z6eWMs9FraGho\naGho9KMJeg0NDQ0NjTOYM0nQZ1XH0xgWtOt8atCu86lBu86nBu06n0bOGGc8DQ0NDQ0NjWzOpBm9\nhoaGhoaGRgaaoNfQ0NDQ0DiD0QS9hoaGhobGGcywxNHrdLq58X8vB/BIyvIZAOpTvs8mogARzQDw\nD5X95F2voaGhoaGhkZ8hn9HrdLrriagKwAIiuiz+PbF8bUq7GUREAKqIKJD4Xux6DQ0NDQ0NjcIM\nh+r+MiK6Pv6/Pv49IbD1Ke1uImW2nmh3PaVTaL2GhoaGhoZGAYZcdR+fySeYQURrcjSdRES+lO9T\nS1yfxtRp03DpJZcUeZYaGhoaGhqfburq6jynNdd9XNVen2qTH04uvvgSWrXtEH3+nNGn4nAaGhoa\nGhqnFZ1OZyqm3XB63V+f6oinQoCIpsT/n0RE3hLXk06nm6vT6Wp1Ol2t2+3WhLyGhoaGhkYGwyLo\ndTrd3ISXfMIZT4U1FLffx/9WxdtPyrc+FQALAMwCMOuc6WdTjJeH6idoaGhoaGicEQyX1/08nU7X\nq9Pp/CnLZxPRrPhfSqj04+0DKSr+PQXWqyKDaE9niACQIIHa7TECQG222FD/RA0NDQ0NjU8NZ0yu\n+1mzZqG2tpb6fDxNHFNOE8eUExGRLIPKynSn+ew0NDQ0NDSGFp1OVwdgVqF2Z1xmvIumjKSJY8qp\n2arM5BNC/lBvmETpzBjUaGhoaGhoFMsZJ+hbbTGSZNBXzh9D3ohI1gBPRESiRFSe59e6QgJ5I8Ip\nOksNDQ0NDY1Tw7CF150OWEGmCyePpPL4LH7q+AoCQGYfT9d94ay82/KSTCNyjHtkWaaysjNuTKSh\noaGh8RngjJJe3ohI7ohAsqw45AkSyBYUaELcXp+g1RYjWe5X4xu9HFn9IhER7e8MExERJ8gkSTL1\n+Tg6bmRyHhMAuUKaJkBDQ0ND45PJsIXXxT/zUpbN1ul01+t0uofj32fodDrEvfN7dTrdfJX9zEvs\nr9AxQUTTJ4ygMSPKyMdI1OPiqFxH1Oflk455Ca46b0yag94lU0fR1y8bR+dMGEHXfVGZ+Z90sGQJ\nCHTRlFF09vgK0rs51eMKEqjLpb5OQ0NDQ0PjdDPkqvuUojZ6nU63Nv7dR6Tku9fpdJfFs+ZNAaCL\nbzOD+vPapzI3Ho53d6HjSjJoRLmOzp80koiIpo1Xftq1l48nIiJfRCBPVKIvqCTVWXTYTd+7cgJd\nOGVUctlXLxyb/P+ciSMol9/+yIoy+sYV4wudnoaGhoaGxmnhVBW1ySpQEy9yk2AWgNSCNwnmALg8\no60qFfEZeo/KzFuWQUFWThPyYVZMqu+v+8JZaUI+GJPSth8/qpzGjUrXCuTCHuDptg8Nye8Lqt1p\nZoJcbG7ykd2fXzPw7DYbAaDjhgiFY2JR56OhoaGh8dlmyAV9PFtdorDNDCKqpTwFauIz/o9y7O6y\nVHV//uMSiRLovIkjiBPTM+SVleno0mmj0pa12ljyx4XlZWePpl1tIQrGJNrVGqClR7Ky7ZInLNCe\njlCh06BzJ42kJXdcmvx+06wpBeP4tzZ7qdbIqA4mnt5qoyinDDx+/+3ptLbOT0tqPMSKhQcP/ohA\nDMMXbKehoaGhceYybM54JRS1+R4ANbU9AfhHfDY/VS2Vbmque5fbTQ1mhsaOLKNWa4zs8bC6RDx9\nJtdeNp6mjhtBxwxR4kWZwrxEE8eU0/evmkTnTRmR1X7aWSPou/8yocBPySbTPyCT44YoLanx07M3\nXkATxmZbUh65fnpyADBtfAXNnjGJ3rjpQjr7rOxzzGTeLgc9Xumk3yzqpV5X9nW4e7lRyy2goaGh\ncYZzqora5CtQM0Nt47gQnx3/6qX+vPdJMnPdz7hIsatPHldBI8qVWfRXzh+Tte+DXWFyhRVP+Qsm\njaAR5Tr6xTWTk+sT/zf0RenVKjtxgpS1j6Hia5eOo7V3X5G2bEmKRqHbw9NxY4T8UZEkSQnzKy8v\nzozw4s8vpFduupBu+bepxKtoAOb/5hKqKNeyBmpoaGicyZyqoja5CthkCe+Uoja11F/I5vL497wk\n4ucvmTKSWBHU7WLJG1HU82YfT35G+f8bV4yj6fEZ8fmTR5LFnx0e5wrxFOVBd/3H2TRqRHGCNR8H\nutLV/rIM2taiqsig73+5P+Z/7KgysgU4enSThXo9bHL5uwdcVJcn7C9BgBHoS+eNpivPG6u6XhBl\n+uCQO20ZALpvlYmGKj3y7vYA1fQUNnsUIhITyegu/JtTsQQ4snjZwg01NDQ0zlBOSVGUuL/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iexmIAgI+LJLYq2b0ODD+tTBgRPbLFCEGX0+TjMWWoAAPzpIxPeTXGUfX5bH5ot6e9cn5cFx4t4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\nsqDsZ7xy1E3fWXw93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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x7fddbbb6ee10>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.plot_walks()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Distribution plots\n", + "\n", + "These plots just show the 1D histograms for each parameter" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ddT1GOMSZZ3Z0cPK0bAq99oiEQzwozrFjy9KbAZbnmf6PhFteauR7F1awbmFe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\nyLvsVh76yJRJm8Q5US5fUcB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