{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[Table of Contents](http://nbviewer.ipython.org/github/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/table_of_contents.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Particle Filters" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<style>\n", "@import url('http://fonts.googleapis.com/css?family=Source+Code+Pro');\n", "@import url('http://fonts.googleapis.com/css?family=Lora');\n", "\n", ".CodeMirror pre {\n", " font-family: 'Source Code Pro', Consolas, monocco, monospace;\n", "}\n", " div.cell{\n", " //width: 950px;\n", " margin-left: 0% !important;\n", " margin-right: auto;\n", " }\n", " div.text_cell_render{\n", " font-family: 'Lora';\n", " line-height: 125%;\n", " font-size: 100%;\n", " text-align: justify;\n", " text-justify:inter-word;\n", " }\n", " div.text_cell code {\n", " background: transparent;\n", " color: 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" }\n", "</style>\n", "<script>\n", " MathJax.Hub.Config({\n", " TeX: {\n", " extensions: [\"AMSmath.js\"],\n", " equationNumbers: { autoNumber: \"AMS\", useLabelIds: true}\n", " },\n", " tex2jax: {\n", " inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n", " displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n", " },\n", " displayAlign: 'center', // Change this to 'center' to center equations.\n", " \"HTML-CSS\": {\n", " scale:95,\n", " availableFonts: [],\n", " preferredFont:null,\n", " webFont: \"TeX\",\n", " styles: {'.MathJax_Display': {\"margin\": 4}}\n", " }\n", " });\n", "</script>\n" ], "text/plain": [ "<IPython.core.display.HTML object>" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#format the book\n", "%matplotlib inline\n", "from __future__ import division, print_function\n", "from book_format import load_style\n", "load_style()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Motivation\n", "\n", "Here is our problem. We have moving objects that we want to track. Maybe the objects are fighter jets and missiles, or maybe we are tracking people playing cricket in a field. It doesn't really matter. Which of the filters that we have learned can handle this problem? Unfortunately, none of them are ideal. Let's think about the characteristics of this problem. \n", "\n", "* **multimodal**: We want to track zero, one, or more than one object simultaneously.\n", "\n", "* **occlusions**: One object can hide another, resulting in one measurement for multiple objects.\n", "\n", "* **nonlinear behavior**: Aircraft are buffeted by winds, balls move in parabolas, and people collide into each other.\n", "\n", "* **nonlinear measurements**: Radar gives us the distance to an object. Converting that to an (x,y,z) coordinate requires a square root, which is nonlinear.\n", "\n", "* **non-Gaussian noise:** as objects move across a background the computer vision can mistake part of the background for the object. \n", "\n", "* **continuous:** the object's position and velocity (i.e. the state space) can smoothly vary over time.\n", "\n", "* **multivariate**: we want to track several attributes, such as position, velocity, turn rates, etc.\n", "\n", "* **unknown process model**: we may not know the process model of the system\n", "\n", "None of the filters we have learned work well with all of these constraints. \n", "\n", "* **Discrete Bayes filter**: This has most of the attributes. It is multimodal, can handle nonlinear measurements, and can be extended to work with nonlinear behavior. However, it is discrete and univariate.\n", "\n", "* **Kalman filter**: The Kalman filter produces optimal estimates for unimodal linear systems with Gaussian noise. None of these are true for our problem.\n", "\n", "* **Unscented Kalman filter**: The UKF handles nonlinear, continuous, multivariate problems. However, it is not multimodal nor does it handle occlusions. It can handle noise that is modestly non-Gaussian, but does not do well with distributions that are very non-Gaussian or problems that are very nonlinear.\n", "\n", "* **Extended Kalman filter**: The EKF has the same strengths and limitations as the UKF, except that is it even more sensitive to strong nonlinearities and non-Gaussian noise." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Monte Carlo Sampling\n", "\n", "In the UKF chapter I generated a plot similar to this to illustrate the effects of nonlinear systems on Gaussians:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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XmEb27rvv4p//+Z/xxz/+EZcvX2Yyih6PZ8mUII1GA7lcDo/Hs63jJrafpb6v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R06nQ6tVguTycTu7i6hUEh0Ablcjvn5ed55550z15RIJEilUvT7fbRaLaFQiHA4jN/v5/79+wDi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"text/plain": [ "<matplotlib.figure.Figure at 0x20fad468f60>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import kf_book.pf_internal as pf_internal\n", "pf_internal.plot_monte_carlo_ukf()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The left plot shows 3,000 points normally distributed based on the Gaussian\n", "\n", "$$\\mu = \\begin{bmatrix}0\\\\0\\end{bmatrix},\\, \\, \\, \\Sigma = \\begin{bmatrix}32&15\\\\15&40\\end{bmatrix}$$\n", "\n", "The right plots shows these points passed through this set of equations:\n", "\n", "$$\\begin{aligned}x&=x+y\\\\\n", "y &= 0.1x^2 + y^2\\end{aligned}$$ \n", "\n", "Using a finite number of randomly sampled points to compute a result is called a [*Monte Carlo*](https://en.wikipedia.org/wiki/Monte_Carlo_method) (MC) method. The idea is simple. Generate enough points to get a representative sample of the problem, run the points through the system you are modeling, and then compute the results on the transformed points. \n", "\n", "In a nutshell this is what particle filtering does. The Bayesian filter algorithm we have been using throughout the book is applied to thousands of particles, where each particle represents a *possible* state for the system. We extract the estimated state from the thousands of particles using weighted statistics of the particles." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generic Particle Filter Algorithm\n", "\n", "1. **Randomly generate a bunch of particles**\n", " \n", " Particles can have position, heading, and/or whatever other state variable you need to estimate. Each has a weight (probability) indicating how likely it matches the actual state of the system. Initialize each with the same weight.\n", " \n", "2. **Predict next state of the particles**\n", "\n", " Move the particles based on how you predict the real system is behaving.\n", "\n", "3. **Update**\n", "\n", " Update the weighting of the particles based on the measurement. Particles that closely match the measurements are weighted higher than particles which don't match the measurements very well.\n", " \n", "4. **Resample**\n", "\n", " Discard highly improbable particle and replace them with copies of the more probable particles.\n", " \n", "5. **Compute Estimate**\n", "\n", " Optionally, compute weighted mean and covariance of the set of particles to get a state estimate.\n", "\n", "This naive algorithm has practical difficulties which we will need to overcome, but this is the general idea. Let's see an example. I wrote a particle filter for the robot localization problem from the UKF and EKF chapters. The robot has steering and velocity control inputs. It has sensors that measures distance to visible landmarks. Both the sensors and control mechanism have noise in them, and we need to track the robot's position.\n", "\n", "Here I run a particle filter and plotted the positions of the particles. The plot on the left is after one iteration, and on the right is after 10. The red 'X' shows the actual position of the robot, and the large circle is the computed weighted mean position." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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HpxpOOsaIiIicwBUJBKD9WYVIQb5RwYYRo9/aHfgEB4jy30aXS56P6IEoACV5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\nG5nAdHZ2MnkgIiISmDmv9zFZuAAjOICKFlAtW7Y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"text/plain": [ "<matplotlib.figure.Figure at 0x20faf4d5e48>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pf_internal.show_two_pf_plots()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you are viewing this in a browser, this animation shows the entire sequence:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<img src='animations/particle_filter_anim.gif'>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After the first iteration the particles are still largely randomly scattered around the map, but you can see that some have already collected near the robot's position. The computed mean is quite close to the robot's position. This is because each particle is weighted based on how closely it matches the measurement. The robot is near (1,1), so particles that are near (1, 1) will have a high weight because they closely match the measurements. Particles that are far from the robot will not match the measurements, and thus have a very low weight. The estimated position is computed as the weighted mean of positions of the particles. Particles near the robot contribute more to the computation so the estimate is quite accurate.\n", "\n", "Several iterations later you can see that all the particles have clustered around the robot. This is due to the *resampling* step. Resampling discards particles that are very improbable (very low weight) and replaces them with particles with higher probability. \n", "\n", "I haven't fully shown *why* this works nor fully explained the algorithms for particle weighting and resampling, but it should make intuitive sense. Make a bunch of random particles, move them so they 'kind of' follow the robot, weight them according to how well they match the measurements, only let the likely ones live. It seems like it should work, and it does. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Probability distributions via Monte Carlo\n", "\n", "Suppose we want to know the area under the curve $y= \\mathrm{e}^{\\sin(x)}$ in the interval [0, $\\pi$]. The area is computed with the definite integral $\\int_0^\\pi \\mathrm{e}^{\\sin(x)}\\, \\mathrm{d}x$. As an exercise, go ahead and find the answer; I'll wait. \n", "\n", "If you are wise you did not take that challenge; $\\mathrm{e}^{\\sin(x)}$ cannot be integrated analytically. The world is filled with equations which we cannot integrate. For example, consider calculating the luminosity of an object. An object reflects some of the light that strike it. Some of the reflected light bounces off of other objects and restrikes the original object, increasing the luminosity. This creates a *recursive integral*. Good luck with that one.\n", "\n", "However, integrals are trivial to compute using a Monte Carlo technique. To find the area under a curve create a bounding box that contains the curve in the desired interval. Generate randomly positioned point within the box, and compute the ratio of points that fall under the curve vs the total number of points. For example, if 40% of the points are under the curve and the area of the bounding box is 1, then the area under the curve is approximately 0.4. As you tend towards infinite points you can achieve any arbitrary precision. In practice, a few thousand points will give you a fairly accurate result.\n", "\n", "You can use this technique to numerically integrate a function of any arbitrary difficulty. this includes non-integrable and noncontinuous functions. This technique was invented by Stanley Ulam at Los Alamos National Laboratory to allow him to perform computations for nuclear reactions which were unsolvable on paper.\n", "\n", "Let's compute $\\pi$ by finding the area of a circle. We will define a circle with a radius of 1, and bound it in a square. The side of the square has length 2, so the area is 4. We generate a set of uniformly distributed random points within the box, and count how many fall inside the circle. The area of the circle is computed as the area of the box times the ratio of points inside the circle vs. the total number of points. Finally, we know that $A = \\pi r^2$, so we compute $\\pi = A / r^2$.\n", "\n", "We start by creating the points.\n", "\n", "```python\n", "N = 20000\n", "pts = uniform(-1, 1, (N, 2))\n", "```\n", "\n", "A point is inside a circle if its distance from the center of the circle is less than or equal to the radius. We compute the distance with `numpy.linalg.norm`, which computes the magnitude of a vector. Since vectors start at (0, 0) calling norm will compute the point's distance from the origin.\n", "\n", "```python\n", "dist = np.linalg.norm(pts, axis=1)\n", "```\n", "\n", "Next we compute which of this distances fit the criteria. This code returns a bool array that contains `True` if it meets the condition `dist <= 1`:\n", "\n", "```python\n", "in_circle = dist <= 1\n", "```\n", "\n", "All that is left is to count the points inside the circle, compute pi, and plot the results. I've put it all in one cell so you can experiment with alternative values for `N`, the number of points." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mean pi(N=20000)= 3.1684\n", "err pi(N=20000)= -0.0268\n" ] }, { "data": { "image/png": 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FISP5GTJk+FihetUy4t2REOZ2UzKQj1Yks9qVZi5PnRHHEu20vMRBCHZDh6yR\na9ixSB80UoALktkHIVEPp7aFiS92mQf2AWnDI0uL00mj6HU0bjVZ6k4z/mHqdz7tCvFq1BIkiLMJ\niDc6iLNPolvNjsodrLjuNhbf99fMdufy5XufYbnuI+e3c73u5b6Nz2G4BQrFIjnbZM3qT/DiC8+T\nNxLJhM+ci1tu58Cht4mK3U05S3VyHKd7IXtf3s+tN9/A+e89Qs6Uwtaue7ZjunmRvQR1Snu3YesI\npWSM+XyOnv55koFf/xg69Cnt3YYOPazUI9+eORfDzdN57w5cI6EvHzez+knoyW6BncPpXoDbt0Su\nWygQRFHTOccpd9C3/jHMXAmnewG9935LiqOVIvaqVCpVpv0Ip2s+fRsGMNwC5555mMSrEowcQ8ch\nOvQx3HzTEcieOY/hPQ9hz5zHkmXSP2X01GDTDvTcMw+jQo9obJDfHp+iM+yiw57LwVnLiQekA6y+\n2E2nnjY5+2rqdw+yg9NREAlNe0HWQoyssbZcyykJ0gZqKaGvatCpvKfTkPX0taIEscoQKZB9Edkv\np5aYNS3F2oGW35fa5dpvHpR6DmjtYt20suUA1cju1xIJmB+tyLUGKi0//Zzi8OP/LbPQzJDhCkVG\n8jNkyPCxwrFtOwm7Z4vzTQ4hI2ghx6djsQ6MAjh+TGQMp84Iuf/iZ4TsKNKsvxIZT0P64GkhQRMj\nrWLIhu7eT1IZhpasaSOjqxBf+1mpJWLZack0zqZaf4Vcz6ZlfWgjEo0GWfxKQXYh7k8zrbfcBhMx\nDE7Q09km2fWUhOrQk8xzGDRlKp337iCKJWCYNXcR9cQg9iqEY4NUL5yn657thOND6CTG9i9guAUh\n6IbBvoP/QH36Ao5lYesoJbo+V80q0laWRklBFNH31SexDMXKm1aIA09QZ+Spr9FeLnH4wEusvGkF\nVvUsiV9FRz5JIJKbelXsjxUaHQVNKVHs1wjPfSDZ9Q0DRKXZ+InByOMPMPj+e8S16SbptipnJNsf\nBqmWfyGJ7ZIEPuHEMMO7N5P4Nbru2U6ho5Ml115H34YBOS712NdBvWkXGo4PceLIOyxf9RmCKMKa\nORdlmoTVKdxyO2tWfwLvzEkSrdGBx62nR8nrflx7Li8HDvps0nJyagSWTpusnQelGy/BtGT5XSV6\n/R/2yfN3DLeaqPmeEPqGM0+jcVljt+DRquwIpbydXLtc5xKLTyVjaUjI+mfL9deZcu4re+HHP5K1\n/4OX5Gv/O5BzpMA8iSDni6TsQgIrb5OAoSEly5AhwxWLjORnyJDhYwfn5JAQq4YsopF5dJRkQ22E\nPG1Miw6nTkhB4msHaf5Zm2Haix6uAAAgAElEQVRI19izaZdS1xA3niPvtqQWjU6jc0wpkKyl2fq6\nbnU0ddLndtWgGkkm1EuzqtCSRIQI8Sqn35/V0pAooXXOrqpcA7DbunG6F/Kjl3+CZRrkbEXeECI/\nvHszOonlvaIZ3vMQfuUCr7x5hGk/hrYejNQRR6XFqzqOMEyTW65fivbrDO95CDNfpm/DANaseUwH\nCT3985rNqHo625qe9MrOMfrUQ/jTk+w7+A8cfO0Qaz71Sfwz7zE2dKI5L/XpCyjDIq5MoJSid/1j\nGLki4R3/F9hitdkYl+HkMQwDI/QZ3vMQwZmTWJ39WPkSccc8tO0S1Ss4ORfHslBKpe9FimbRWoKW\nzj7x2Ucz8t2t1Kcm6els49TO9VIQnMSo2nnMdOfBSAt1zUKZym2P4CcG5uQgrpFgdc1nxt3bOHDo\nbdbeeRfKLeD0XoPhytiVafI5ezaJUmmjKdWSxNywQupBHo9l/W0stGQ2dgxvHRVd//ZpWWP9OXFq\n+kp6XMO1J0zXNMjuQCOgzCEEvrP30mMbxd6jcctN59QZeR3nIpnRmwcv/RA1ZG8NuZCdPv+Dl2RH\n66y8j5s+98ms8DZDhisUGcnPkCHDxwqLH9mE0rFIXAyExES0mhK5iDxnrCGDCOX7jUUh2A0f/QbB\n2VxqFVEmNZHMNLLxDSI/lJJxEFccW4kEI6culW5sTbX2PWZT7tCUREQpwTufQLUm43RSsgji1LKx\nCN2KE6/uR7mFVPZSZMbd24gNh1BZdN67A9tpONQMNEmr4ebRoUdv6jSTeJWU3IcAzHlgF1guB187\nxG23roagTpIWugbnPiCuVzhx5B2G9zxE6PuMTkzR09lGae82brl+KUngYRbamln3g68danaeBTj4\n2iGwczi916DjCJ0kjDz1NVToce6/fF1+3rMlHdcWEr9K74NPoG23Of5w7APi2jTR+CC963dgzpxL\nPYhTr3wfFE33HZHo5IkrE4DGypfEhccVyZWVK4DWGG6R0PfRaeGuDuqc3rmOOAoZ/s79WJ39zFtw\nlexEVM5wetcGokSLc0+a/bdnzuPcMw/jGgk60bzs2xwbqPPjyGW57mWtbmtlzxfMlfXXCNwaxdiN\nTH1OtRqghWlgpxG7zwtAviCZ/0YPBw8JIMkLwZ8YkaDzfLqbcHGDrRmGSHyCqVYx+M40OJ3yRML2\nxc/I15SXNsCi5QT1xc9IY63G7osFBklWeJshwxWKjORnyJDhYwVnegzVyG7aSuQLpXYpfh2TotRm\nQW7Dv97ISZHtWd3KWH6n0ur0Wb8oiz6d2iZqRIv/9XKri2lDf62Qc72LrDNdJWSp0Yl2e9qUJAgl\ncGic33jcWGzZc/pa3sNTMd4YnPIM+jbsaBaeNoi3V5mitHcbeSPBqpzh/PceIfGksJTAY+VNKyjt\n3UbZNTFzRXSSUMjnaMvZDO/ZAlpTr3u8/Moh7N7FTTdRt3cxRq5IAvStfwxlGM1mUz2dbULgLQcd\nhQzv3oJVOYOyc1Rue4R9+39K+7yl+H7QLGpVkY87ZymWZfHp1Z/g+mvm4+bcVCNfkKJgYHjPQ8Re\nlZGnv44OA5LAJ4pjYq/WzNgrwxBCny+h06w/aQBB6GOWOsnnc5Qck3B8iN513+blA5K1TiK/WYDs\nug6LrlrInNQvv2fdY6Lxnxpl9NRgc30p28Xq6EXZORYtvRZ75lyYGiVvJASJFFjft/E5VrT/Gz6f\n76dy2yO8/Oob7HvnfU7s8jl48gyH3jgssqu5pqyVflOkL4259pH1BrIOHBtW3yb++jetlPWysShF\n2KV2KfYGycYfeVfWnJ9KaRqKmlCLO86j0yJd8/SlzkwuIhX6yV6R8Nhp4LtssRQBD06kUrW0CLjb\nhAel90JWeJshw5WJjORnyJDhY4WgPIs4cYW059pFIjE9JUWNN68RsgJC5r+a+tCDZFevvUaIDYBW\nki1t2BsCzFHiOtJwyWkEB40goKmtTl1w3DRb+ui0SHDud1sa6YZUQyGBQyPjevFjUY4JcgbtdLN2\n+VpuXnwra3U51dtXMItSgKosG9d1OHzgJcaGTjA18j4XBo/Q0d4mjZ9sl0NvHObwgZcIlUXveiHS\nXqSZqohDDYaBkS/Tu36H+Moj1pn+yDGs9m6StDlW7FV48YXnAWmMFZVmi1zFMDAin3kLrmrp93Ml\nZty9DW25nN61ARKN6zpEE6foumc7L7/6htzu0MOaNa/ZAMtwU/mMWySuTTNn45MYjouRK2IWpYGX\nmS+Ts5Q026pPYxgGiV/DmtFD7FXJt3UQnHmPWq0u2X6/JgGP5dCz7jEM25VdA6+KY1kcO/Eup3dt\nSK06t5D4NXRhBhemK1KcnL5Ppka55fql9HS2sbDDIm8k1BMDs3Ou1ELs3kw8PkTekDoJq7Of35l1\nA8t0H1++9xnak5qshXOJ7PSMaWjrgFxepDCfWgNXXSMZ+Sd9KYb9gTQi482DEhg2bFSrU9Lcirrs\nFBRSr/xcGqJtLkkQurUsja4au1MGEggMpNabWqfFu8i6bOwiNIrUGzUru9JGX2di9M4KOmyEghky\nZLjSkJH8DBkyfKxwbNtODv/dAbHI7J8txCeXWme++rIQlnmdQrqfiqXJz4Om6PGPHk/JOq1i2IbT\nzsZiS1pzPhHibjnyOtctkd8vvVqIUCPTqkh1+wag5BwT+cvp6dbPJq2MqjLQCugy0HVNMlCh6itm\n3L2tKZFxS+30rX+MYsdMXEKR3fhVAs+nrXcBbmcf7fOWsvbOu1KnmxL2rPlM+TFORw+1qUlGnv56\nMwuuciUMJ0ff+sdEorPnISk2tV3CsQ8w0kZThpNrSoQaMpzRU4NEY4PNc2KteW+synS1xqoV1+ES\nMvLU1+S8XAnigJU3rcA1EiHSUchrb7xFqA15jZTcN3Yo7FnzMJyUjAcefesfI65NMbx7M4QejmUR\njw+hbBdt2KA18fQ46AQvjMEwcboXNB12XBVRdi0pxg19Er+KaVnUE7kXdtd8DLeY7ioUUZYr98H3\nicYGGX3qIcwkAGjuZNQTA9p6CMcGmbPxSUBxzZKljA2dYNWK6whGjhFNniGuV5h4egsfVBOCndXU\nQhMp3K5cELlYVJcmZ28dk3qQatqZGVIZjUhlmk2vTC3N1epaCHgtuagDcrrmaloKxKHVYMtWrW68\nBuIGpYHIbDlA3bymVaT+6j45fzQUi8+Sg9pUwuhWmVwnQ4YrFBnJz5Ahw8cOy76wBjpNOHFMyE2M\nkJ16LITFuyBkyvdEX7yrKt9/rShafkWrcNHT4gs+UBEC5SSpTl8JAVp9rWQ7f9jX0kQ3OtqGZnrt\nROw0HQUPpgWZHakdZzklV0/6LZceR0EICYqc7qcrmcHoUw+Jaw1gJgHnv/cIt1y/lKmR98lZCmvW\nPKI4xtcWiTIvCQri2hThmHjAYwtpTQIPQl+yzvVpdJJw9i//lHw+R87URJMjEAXk83nsWfNl58Cv\nSVa/Y3ZT8hIqC7vnGhKvSjRxCq1FHxLHMYfeOMy8BVel2vVBrBl95MvtvPjC86y8aQVKgdO9EOwc\nOqgzsuchkkCKfkFhz5wrmvdZ87E6ZqOUZO1N02TxoqvpffAJevrngeVIhl2B4RawZvRhuEV67/0W\nZr5McPZ9hndvps01xf2nfx4A/ak0J1dqg7YehndvJhobJPGrKNsRSdTYIGhQhkFbqciiqxbSee8O\nRiemAKk1CLw60fggKg7S5mGao++8TVvvAgAKbR1pQ688Xqy476v/jZ/4NjWlSCYTydjrVNrVbaSS\nMS0EfGtZNPQga6vhktMg8nEqQ9taBteVQLOhtfdTD/2Gy06j2LeuW83ZziYXNb1CvPnddig5Elxc\nXKT+5kGYYcLBvTAdoHfViC/YmVwnQ4YrFBnJz5Ahw8cOBqn1ZaPr7OaLutN2Gi2StLEoUoaNRWmI\n9VQsfvWY0vXWVtKxtujIha1YiPizNSl4tBEdc8PVZGJEMrBjWgKCiUAkPd2mBAoNjX+uXeRBriHk\nqi0vkgyl4Nkasa85NmmwTzvoJMGZvZBFVy0E4MCht+m8dwdz5/Q1JTNBotIseIHe+x5FGQbDuzdz\n/OgRAG6/dXXaVGpLajM5gGHZGEqBMjAs0cNHk2fw6pId114Fa9Y8qpMThONDkCTSBTZflkZYltwT\nHXoEI8cxC21Ynf0YTo7uL30TsyAZ7sptj2AWytgz58HUKP70BeyOHvYd/AdU6BOOD4ncyMlDWG/u\nKBhuHqt6FoI68cQQVuVMc37jOObYkXdagU/TY98HrS+qVdhCUrtAoZBnzcp/w9jQCUYnpqjc9ghJ\n4DG85yG0V8XWEUyNYkQBi5deizJMksBPrTerJEEdDUxNVxg9Nci5Zx5u6vTrdQ9lmMSBh9K62TzM\n7ppPVJrN6MQUt1y/lJE9cu9JJU+ft7u57qvf51WjXdacmwZ7jRqOnJLajW+lGvpOB9473uq1EGhx\n6lm1RtbYszUpln1/CPJ5aax1cY1IPe3/0JVm7jsNCRCuXSw3dWdFAoyJESkwv9+V4GLKk3EMVGC6\nLsekdSP+nLn8ww/2ZT75GTJcochIfoYMGT52SMgJWRpIdcsXd6dtEJbQbGX5vzUtnW3jCLxAsvWx\nlky+dsBIPe9BsqJnYyl4vH6leJW/d1w6mt4xLBn+jUUJCPpzslMwner+Gxr/JJVc3Lym2YxrrW7j\noNvO8QsmP3Hauc6fweftbnToEU1K8efoxBSh7zOy56FLikEdQ2wy0WITmYQ+VkcPvQ8+wejEFC++\n8Dy337oaQg+NFrLv19C2EGoMI7WB3IHKlZiarqAaEp3UWhLDwAg98KuM7NlC2bWakh1lO/Te96gE\nA6lLTVy9QBiGnN65jqAySTQ+SN5IhPCnDaq0nYOgztm//FNslTBv4dXoJEmz4RJArPnUJ/HOnJTM\nv+0SnhsEren76pOYls2LLzxPuViAOMLtXSwSpLRJVt/6HSy5bjlTI+8DsHzVZzhx5B3OPfMwHW1l\ngrMnCafOUgliuu7ZTmI5nJwUi1Knez46SbDypdY9cHKEyqLrnu3N3QDDyYk3f9d8tJNHB3WGd28h\nPPcBVuVMc/clCTzZQYl8COoYUcC5Zx5mjeeyvG8lPw4cAiN1Y3p0ulUwC6n9a5LWhygJBreWxakH\nZBfqgpb/yA+a0lBr1RoIVSuobO+Q9X86ljVsI1Kf906AlZfPw6QphbvVsKXVz2nZaTAUWLSCDE9j\njY6z/ME/zCw0M2S4QpGR/AwZMnyssOL3PyuZ/FK7kBvHlqxntyl/seakjial1PGmke0vGGmzqZRM\ndRpChvpny9em1Mqy8RhMiY7fJXVASTOrQdr8KEy10rlUotNtSuCwsyIBxSt74Sf7OHRqnOXjIvv4\n8r3PcG2tjTtUB5ZSLF50Nc7sq+jbMEA9MRg9NYjtuvSuf6xJMgECzyfxa6Agrk9jWC7huQ8YfUqC\ngeWrPgNALp9DpV28tE6I/Zpku71KU7qTeFWSJMZKbSETr5J2gZXuuNcsWUrZtQiiiJdfOUTcMY+c\npSjt3UbO1PRt3M2iqxbiph1pDbeI3b2Q3vU76OmfJy40Z05KwyuvKsW6UyOE2uD9995Fhz7KtJpW\nnA1ZzOjEVJohn4fh5hnZ8xBxTXTm09UamBb+yDFU6DUdhEp7tzVJdiODbxbKdN2znQvTFZyu+Vjt\ns4m8Gqef2IhOEsKxD5oBjjIMonqVxKumBbo1qpMTlPZua97X2KuKzejZD9B+DbvnGpRStJdLTI28\nz4svPM8rbx5JAxsJBvJtHSxaei209ZCkLkSftXv4X53LODnpyu5RY/fJUS3C3bDbjFON/TupVt7Q\nl+5GHT0ua7PYJi5SUQAqkLXf6Ip7LpHPxcYCGJE0arvflc9BI1tvAG2GBAaJls9SR0HOX7aEqGcm\nud+byDT5GTJcochIfoYMGT5WMOMqxgM5IeH9s1PifpGlZsPRxL/Q6mZb1+JYsn1avMcbmf8QkeG8\ndaylcX62Jtdp+Oo3JDhdqZY6l0p7NEKOTCQzO6ZbjjrNR03Bm+S9sSq+H1Dauw0zX6I3bcbU09km\n3Vz3PARtPVSCGMs0mHh6S5O8ApiFMv2b9mB19KCUAsNAa41p2YTKonLbI4xOTBEkCrtrnhTbukUM\nw6Bv/Q7MQjvKMEApKRxVJuHYB0T1Ckbqxx+ODVKbmuTI228x5UfUqlUwLPzTR5pdbpWda46t4SzT\n6Eh7/nuPMHpqkJ7+eRQ7OsUdp9iOthxCbdK7fgfKzmG4+aaHf3j2JEOnh1l7512MnhqU5yaG0aGP\nNXOuEGVAm3ZTf9+4b2NDJzh84CVefOF51t55F8ePHuH0rg2Egc/E01tQtitdb7sX4HQvQBmmXCtJ\nJODZ8xCJX8dwC/RvfgrQ9G9+CsPNX9IIrFHUbBgKrRPCsUFiv0Y9MVh7512svfMualOTzc674cQw\n1ckJjr/3Pv7pI9gz5zLy3a1ov8YD7TO5RfVwMHDQjTXop9r8h8tCynMKZqfOTd2pVt4g7bzsi6Qm\nTqSxlneh1WBtypNMvX+RbKcRQFQD+f0P+8TpqbHb5ZryuckrIfgrVsvu1Q/74NQZ7LNniHeFmSY/\nQ4YrFBnJz5Ahw8cK2kfIutbSRbRBzhtdZTeVYCztYjumhezkU8KUSx1HDMTmUqWdQJUW95GGZKch\ng5hIRP988xrpbDrlQVKHWWmxo31Roe2qNSKJ2FlBexq9s0JcVwyHFt1f+ia5UhuHD7xE2TE498zD\n5I2EF194HseySLwq4fgQUb3CjLu34UWa0Ympplwmb0gjqYbLTN/6xzCcHLT1oNPMdk9nG4lfJzw3\nyPDuLdgz55IvtzPy1NewZvSRK7WhvdS+0nGxZ81HW65Ya06NooOaOM84OfrW75DC1vsexcgV+fH+\nn7LvlUNUJ8fxPJ9Dbxymp38eq1Zch3d+pGnn2SDG9anJZsFv3/od6NBjeM8WdBI3XXBAYbgFZty9\njYOvHRIHGw2GaeH0Lm7617f1Lkj181uI69N03bO9eW+Wr/oMs+YuYt/+n6JNB0zRy8eGI119d28m\nOPu+ZOFDD0PHqDhEA1Z7d1qgLHKiJPBSGZHi5QMH6elsa7oGheNDGE4OI9+WFtgW6LpnO6+8eUQs\nQk0bu7OPxK9LMGUYUr+QK0qxsldhzac+yeEDL9HTP48v3/sM7zt5keR0FGSd7qq2OtQ2fPDPxq0A\n000LaxvfN2wwByrij68TKMayhiOk4NbKSzDabUKSyA6Ai2T8HVv895+KgbxI1t48KLK0o8fBu4Dp\neRiB/5F+vjNkyPDRISP5GTJk+FihcsO/QeeNSzPmeUMa+nzqtlT6kHYArSdwJpHHc0nLlSRGfm9o\nyPktDbOrpGFWW06aatn5VvOsU2fSBkIlGE+EYEGrSHL/XnEuuXox6uEyx7HIO3P5XFzi3DMPS/En\nsOKG5VimQRBFrL3zLiYvTDU14YZbEMIZ+s3sPMDY0An8s+9z66qVAJx+YiNJ4BFNnMKxLHo62xid\nmBLf+6556KDGwg4LW0fkXAdzchBbRzjlDkgSKcI9P9wsgF04rx/l5On+0jdJAk/G4DeabNVTbb90\nmlW5UrPgtjG+BuEePTXI8K4N4OTRSYLbuzitJUhQoSfNrFJ/eqtjdlMK40Warnu2o0wTHdSJzpxo\n3qOoNJv+TbtRSqES2T04ceQd9u3/qVh5+hHWrHlSb5AWJAdenXyxQFvOxswVUQrmbNzNNUuWsvja\n6zDS4mJlGJdYcirDlOZZlsOLLzwvHW4jXyROgUdcm2Lkqa9hpIFVfWoSDBMd+sQXzqQ7GAM4XfOl\nONir0rvu2yy+9rpW34G0sPd0LWnWa7BqjaxRRbrblK4tR7XWbsOS9Xz6faPZGkizrcZuFoi2PlTS\nWMtUrWz9rFS+NqaF1IPo+29aKbtiZR9IZJ1vLkGngcqRyXUyZLhCkZH8DBkyfOygfS5tKlVPpAh2\n/48li5m7KHMfaXHY2VQSaU2gRQ4B8js7fW4sdT2xU+IfBVL4WPZFFz09KecMVEDlpRtuw+Zwtgk5\nOP7qfn701kmODtQZ9qVA1MgV6bpnO6GyWL7qMxx87RAz7t5GVJrNgUNvgzJQpsWpnRuEuE+Ogtac\nGljH8aNHmn74AK+8eaTZlEopyRZPBwn7fvI/eW+s2tSaF9o7m/7uM+7exrwFVzULSlHg9C4mrlfE\nsSaQgIJI7CENJ0c8PkRHezuuisi3dRCnuv3Eq6Dr00R1kdscfedtnI4eDr52iMptj9DTPw+72Nbs\nmttwz7G6FpCgMHPFNBNebLoFWR09qYXnFuJ6BatrPtq0mXH3NpSda0qBbr3lRpYsW07XPdvRtguW\ni7JcYr/estDM2eTzeeY8sEuagHkhveu+jbJdSnu3ceLIOxx/733i6gVG9myRnQM3T+99j2IWOyD0\n5PkoYO2dd4lH/4UzYBjYPddg5orcevMNeOdHOHzgJfJtHVgdvRi5AolXoz59QSQ75waxZ87FzBUY\nfeohBt9/rzmHPf3z6LpnO19wu1mue1mr28Tx5mKpV7HQytZf/Hyj0VVP6iTVsNtsZP4buwFfTdfx\nawcBJVIfT7eKap22VofbO4bluPeHUotPE2YZMFAhOaeJEzeT62TIcIVC6YYp8hWCJEmYnp6+5Lly\nuYxh/GrxzOuvv04Yhti2zY033vgvMcQMHwGyebs88frrr7Nk3V3kfm9C5Dn3u/JYDYScnI0lY/lg\nqdXwB4QAuUqy7wmtgtzH06y+p4WwF1KP8a1lIUyB0SrUfbYmDidOG1QqYKduPjkFnqZuGhzqWcZn\nwxzR5BmSQPTeiV/DdAsQ+fQ++ATnv/cIANXJcYxcicSv0b9pD8O7N6NMm977HuXsX/4p0YUz6DjG\n7uwjHh/i1lUr2bf/p6hcCfwqSWp52Xvfowzv2ULf+h2MPP4A1yxZ2szsHzv+LhgGiVfBcIskfhWU\nidM9n+DMScxCGzoKsV2XvJEw7cdYM+cSjQ9Rdk2m/YgkjtGhjzN7IfH4EFa+ROj7QnxnziU6PwxB\nTSw3o4AkijByRVTo4Z0foX3eUmbcvS219/Swu+YTnHkPs9BOXJuSgMUWi0+QmoFTA/fJvfEquOUZ\nxLVpnJxLkCgcQ+P7AdbsRU17zrN/+afElQmuWTCXns42Xn7ldayZc/FHjmHYOZKgTqGQx08Metd9\nWxptgbxmkmDkS8T1acx8GYWmZ91jEhS8d5KedY/J8UqCttLebRw+IN1p1955FwcOvU3XPdsZ3r0Z\nq6OH4Oz7gLjyNPz3rZlzWdghOy6vvHkEHXooO8eMu7cxsmcL/190jlvjOipdS7iq5YF/0RoDLl3H\nBiIVa6xvE2mMVUzXceOzsKsq/SFAsvqNng+vviy9JXKp689Q3Lp+vsDrf/uT7O/kZYjs/9vliV93\n3n4Vfptl8jNkyPCxgnVmguQJT3zqn/SloPbiwtu6EoLfZYjuOFRCeiKg3CGEJkwLbOtpR9IeU7T6\nEVKM+OcVkTbYqevIrqp4nTttImtIItHwG8CmEjqnmKG7uO3cJOG5QSH4Tg6SBNMt0Lv+MVzXobR3\nG7dcv5QLg0cw8+Wmtr60dxttORtXRSI3OXMStEYZRtOz/pU3j9D31SfRcYTSmnw+R5I65pBoTu/a\nAJbDiSPvMDox1XTqkd2EUlNLbhbKcn2l0HGISkJWrbiOsaETqNAjHB+id/1jTE5XMNtnQxxhuAW6\nv/RN4jhGF2aAgr71jxGODxHXptCWS+/6HWjLRbl5eb/ldoDUQ14abYEimhxt+v0XOzoJJ0dZvOhq\n5mzcnXa+3dzsimvkSmJ9aefwsTE75+In8m8pGDnWdMUJJ4aJqxcYOj3MoTcOoxSEo8exlEIZBv2b\n9uBjo/1as+DW6ugB08bIFehd922pQVj3bWK/3qxxiOoiWUr8WlOi0yiIXnvnXYxOTBHXphnZI916\nG/0DDFcajCnDoHf9Y4Tjgxw/eoSDrx0iKnbjeT5eZUrOi2P+7ezf4kfYEpP2pNn5ZUtEa99wu+ko\niEPODEM09XkppKbbkODU1+KUo5DAdY4p6/nR1If/bCzXG6jAO8dld2pjobXLNZYGB5tL0jfCC7j+\nCytZ8fuf/Yg/4RkyZPiokJH8DBkyfKxg1KsYpUSItmmJv3eXIYQ/MqWwsMsQp5EVq0Vf/2Aq1Ulq\nUhybAFOJPJLuADxeEfK/sSCa5oYEItRCkm5aCcG0yBsuCir0zgqRJ5fK5/PM2fgkhpMj8WvYrtu0\nfFx504qmGwxAUq80u8wOnR4Wm8j0Gsp2sTp6SPx607NeilfF6jKxXQLPx8nlpcHTNVdjODl61+8g\nsVwqtz3ClBeSNxJGnxKZzaldGwBEXuIWcLoX0LdhgGuWLG2OadHSa7FnzpXiXFuaXinbwZ41j+Hd\nW5qNsHToc+6Zh2lzTZYuWy7n7N6MDrxmU67q5DjFOYv58f6fYlmWNOXKFenbMEDOUkw8vQUQstzT\n2UZp7zZuvWUFixddLV1xd29JXXi2QJKQ1KeJJk7Ru+7b4BRQSmE4eXToYVoWxY5OZty9jXpi0LPu\nMRYvvRbv/AjarzHy3a3E1Qus+dQnaXNNDDff0uRHQVqDIMcpaO6ENKQ8jeCoQfCXr/oMr7x5pGnZ\nmcQxZqGNUzs3EFcvgNaYk4OUXZPh79yPMm0SZeJFmnDsA6xZ8+h98Al5D6Y4Hd3ZvYIpXSA5G8Ou\nmmTaASqeBKQVT3T05xJxdWpP/fTHtMhzcumadNLPw7m0c7ObeuDPMaG9kAay6ZreWZHMf0Py5isp\nxDUKYMcYD+Qwo+pH8KnOkCHDvwYykp8hQ4aPFZSNkBkFhHUhJ9OuEBMnEfJyLoHEgjcOyUnfrsrx\n97uSDc2bQoyKSnzDNfKVIIQqTLvXOkqes4CXf8T/z96bBtd13meev/fsdwUIAiAAkuAikiIlSqbU\nNi3KluhSa9xJyz2lxM2a1c8AACAASURBVJOqkSuOTFCSuSmSmh+6kw9OlT84marRSGpzkyWSVtQl\nu2aiinsmTtwZl8vabdKtkJZkUZTMBSABEARALHc5+zsf/uceiJVUZetmJM19qlgXvAAuzr3nHuB5\n/++zEGSLgVaaT6/B+1iU7GVgudRnphg9vEsiF7MEFrfScRW5ByG2GAZWR2+eMGMuXi7T5sjPJ/iG\nW2DtdavZdPNGycr368RXRkn9BonWxKnG8VxJ7XEtRp9+ANBizA0azPkxcbOO4RQxnYJk00+NkIZN\n4plxLhzaznu/ehuns4+OwfVSwDU3Tho0MqK9izRoZA2zDaqeTfmlxykUPHq++gRhHPPBmbOEY6cB\nWLrjWZwlq9FpguEWCf0mcZKgS12Axlo0wNjRh9l86yYGV67Ok3VaOw+tW7fcIZnzS1aLxMgwMJXi\njk/fnKcFYTkow2DpjsM4hs4n40ljPs+5r/avJNUalEIp8TSEcYwRh4wd2Y1KIiqlIqu7S3R2VFm7\napA7P3cbx948wZnJuiyyjj6MjoI81Wd8eo6zMzHNZpPRpx8gacxjmCb99z+J5RWkP2D7Afymz5wf\ngeXQf/+TKMMgDf3cd3Hh4BCJX8fsWCKv8eXz9OguesurOaYqjLz1CxjsEs/IpURiM8M56YeoFuV+\nS0OALApamvwAIf5+9n8/EYP5xUTiN03kL3ukF0zrO7PM/IIlRuBlS2Sh8HQNHf2Pv6bbaKONfxm0\nSX4bbbTxkUJilUSu04qv7MsaQFUo2nmFEBz9oRxxrcVce6AGcw0Is4jMuoY0WjArukp09ylipt1V\nFjnDQ9mk9JGKSCFMi1cbBqcvG0wtXg+GIekutgfKILh4KpPS7KY5P5vnqVf7V9IxuJ5jb56gldcp\nk28xayb1WRzLgihg7OjDqCTi9Pu/5uVjf0OcpjK5ThMM08TuWUH//U/ixxpvySrCOKZQ6RCZiGmC\nkqQYs1jNdeFjRx+GOMB0hfCbXhmUifLK+RQ8acxLdnyWy2+4JYmbNIw8m37zrZsov/Q4Yaro27YP\nu2cFnqUYP7qH6PJ5aaXdfgC7ayCX+hiORzw9QsUx+PEPf5CnzISpktjNLLGnFc05fnQP8eQwVqEs\nDbfFikhx0ETj70OWpX/5+cdQtkf/Q89gdixhzfoNuek4Li/B6V0pJDtbTMXlJZjFCmbHEvofeoa+\nZYN5Ln5roREEYT7ptywLUymuvLCX4XNn+ODUu8RTIwxsP4DVPcia9Ru44zPyenz+059iy6YbKL/0\nOMotSutvFMpiKQxQlpPvoBiOlycaGV6JpTskQWg+TFlcKbN8m5Kdp1YLbqu7IW0IEZ8xhZz3KrAy\nuZnhCYkPUvmebiVFcA9lBW9e9rZrxb4eqssiueVfKSXw2k8lSWreJdEutZtuufYXeRtttHFN0Dbe\n/j1oG1w+nmift48nTp48yarff4DSe+9gRuGC6VBn8YOOArMgRUE9hmSFxwi5aZlxd5YXTLsHakLk\nn6rBhnVCbuIQ4uaCmfHDBkgDMTNSwIkWY3evIJocJg3qGG4J0AxsP8Do0w+gNZnUZQWrOi0A3jv9\nPnbXANHl8xiOh7V4kGhqBB02cfrXEU0NQ+gzsOMw08/tptlooLIJ/MVDD6BsFyMO+Pztn+Wnr7wu\nxt6wybKdR8Sse/k8yhFNvJhLlcRVmiZmsULcrNH/0DOMfedByZXPptxp0MBwJfaSJJJjmTxPGvqA\nwh2Q/+soyI4hZM36DZx+91eoQoW0OU+h4LH51k38+Ic/oHv5Gub8CJ3FdRpuQQzIxQ7S5hxbP387\nP33ldcxilaQxS6lzMY2Z6asMuy20zK1REOQa94kXv0k6N4FjaMJUZaVWBRxDs/nWTfm0PRp/X8rD\nLAedapShcE1wLGn0DYJQ+gMin6779zN2ZA/9Q/sYP7oHjSLx6zi9K4knh1m3fgO1rXu5/PxjUO2T\n/PvsdXMMLVGm2UKhb9kgH5x6l9RySKMAs1Ch//4nRdKUvYZo0HEg0i6/geGVSPw67tL1/HDsFyx1\nE/oiqDiJkPWJVGQ3rWScwS6Z7AdApQrzc9LKnCJtzvcVF0h8wZDbxyqi0W+Z1B+pLBjKDb1wjZgF\nWLmceafCe//7gfbvyY8Z2n/fPp5oG2/baKON/19j9SMPUv7gl5hGAA+XYPUaKHgLk04APxTdfUuT\n7BhisD2QyWwO1qT1s1We9b2GFF69/u5CVviubKpvKEDJ13kqTytpxD5p0JQM9cjPoyE9Sya+WE7e\nPBtPjTB+YZjhc2cWZDiOR8W18nQY5RQIx04zMLQfbDGfNuoNjEIVHUm0pbJd7O5B3EoH49NzKAXK\nsgHFhYNDWLVLEumYTexVEuFZ8IU7bmfN+g0SPZmmjB19mCSOhWxaNgPb92MVSiilWPrgIdmNmBvH\nMAyc3pUs23k4k/hIMs7A9gNo26O2da9Mug2FYRgknYO8ceJXorFfNiiSJdPCXboe13Vzs61yChx7\n84TEZy4awHBLIlHKDLup5eRxkwA//uEPKBhCcHWaitH28jBp0GRw5Wr6tu3D6lnBmtWrmBs7x49/\n+AP6uqqs6rS48/bPcseWzbJYUZCEPs16g0jJossrV/OoztGnHyANJUJTR4GYcTMPguF49HVVmX5u\nN3GzhlWf4I5P30yh2knftn0E2MzV6rx/boSZ+RqnfvUOZrHCnZtvwVKKpDnPxIvfRCUR12+4gapn\nY7suS3ccxvM8nEon/VlngY4D7qbKpq7P0s1imiHy/osUrF4rL8qKshD8HSXYsBZu3iRelJ1lWey2\nDLapFoK/oyS3zwZyndQzzc53anKdhB+6RsKsM+KLo+18/Dba+ISjTfLbaKONjwzs+UmMBz10PSMk\nv3pPpvYtcqORRJxyGdwOITXNRCaXkRbpws6ykPXORMj94jViqgWZ5F9JZdoZaiFHHiKB6DFIm5rm\nd0KOhQ4YBuHl8xiWS+I3uHhoO36s0ZGPTtOseXYXiV9nPkxJOgdzjXfFlalvy+RqL16Oysi9jkIG\nth/Ioi/rKNtBxxED2/cTTQ7TmJsRgu2W6L//SZxeaakdXLkaW8es6rRwjZT+h56hUa/z8vGTvPfO\n20w/txvlFrG6luEsWQVoksYso4eFuOpUM3b0YTxLGna11oSXzjB6ZDcV10QpRXR5WLTkmcQoTVN6\nvvoEXrkKc+O5br1FshO/RjQ1THPuykLJVujTaDRRlk0wdpo0bBKkBmkUZAbYJq8cP4m3qD9vtG2m\nBgND+0nDJgBapyjDoK+rypUX9mLVLuWm2BZGLo5y7M0THH/rVL44UaaNcgs06nWaYUJ9ZpqxI3sI\n5mcpVDpYuuNZPM/DdZ0FM+7RhyH0cxlP/0PP4AehHEfkM/bcoyTN+Vx77/SswHAK+WvhXxnjC5+7\njdXdJdIk5sxkndn5GmYacuWFvfi1Oaj2MXb0YaqeLbs8tkdw8V205XCi70ZOz5r4riGm73BOJGhB\nKtfAe+/DGy9Dkl0TiVqQmhlqQY7T1GJEtwpQCyVHv65lEew5MtV3bPjcnSIH+uuBdj5+G218wtEm\n+W200cZHBlGlm+RQJFPJXkPIeo+xEJnZKqfyZ2Uq/4ArX3tfEVxDpA7PBiJ/mDGF3Hf1SynQYJfo\nnXeVZVGgyKahoCNNY0LzsnbpiPu4p//TmIUKplvEsxWmV8yJZJhKYopOEwCZYG/7NtHUiGjqgwbN\n1OCDU+/mZVFiXFWZPAYuHNyOYbv5boBZrDB2ZI/Ia4CJF78JmTE2mh4ljQIxg6aGmGeBi4e2S3Tm\n0D6UV8KPtRzH5DDR9CiFgpel3YjBFUOhwiZzY+cI41jiM1EoU6bUCsQP4BRyXbmyXcaO7KExM41l\nGkw/t5u+rio//uEPePuNn2B6ZQaG9qMMC8MpEF4+T7FYkCSgDxFinSQYQDJ3WRJthvbluwVztTpx\nFhFquEXxGRQqeGX5OZ+5aT2DK1cD0L18DaWl63jptZ/l+nu/NkcyNSI9BB/yCijDkHMztI/U9vjM\nTevziNPNt27Cql3CLFTQSZIfS5qmjB7Zg04Sjr91Cr/po5OYZTsOZ7sM2fkIGrn5d+OWuwB4+42f\n5Bp8Zbt03b+f5UsH0GlKfGUUHTSYHPkgf46GVyL162ydnOOGRoVjoU14qL4Q6aqUxGn2KzHg7i7L\nonXLnWJEP5qIRr8VkVmx4S9+IgVvrUWApyRNykaui84EXntZ4jV/9R7FU2+zbu/Oa3V5t9FGG9cY\nbZLfRhttfGRw5qlniAaWoHaURGbQyFJDNHAhETlOKwrzwqVskp8l4bS0zJtuh+oauf2Ln8BbxxYm\npJ2ZzGEie0xDwe4yTcegZ/HtfNFeQurXiCbPS1SiYdJs+iR+nfDyeUYP78IxNP1D+0GpLAaznsdA\nkoTgFKDah3YKfOam9azbcENmhN2P07sSu2cQw3FJg2b+mLo5j1LIJNu0iWfG8QoeKokwbBe3fx3R\n1AhU+5gPU/xIoxxPIihbTbVpmklGQgqOibK9PGc+vHQWe/GgNMkCYaryRtr++5/E6h7EcAtZ/vtg\n3jCbBk2RmXilvFm3lSJ09z335gk9ynaEuNoum2/dhBGLGTWcOIfdPQhJiOEWcI0UHTQlV9+vU37p\n8XxB0CoWGz2yh6Qxx2duWg/A+PQcta17OfbmCeaDRF5brRk9sofw0hmwHCqlIuvWXJen6iRTI3iW\nguzrUr+eL0x+/MMf5M/BrPaQxmLwHT2yB2VL74AyTXTkY/WsgExCpKNAyq9Mi2KpmJt/a1v3Mj49\nx9333IvOdit0FDD93G5GLo6Kz+BrT4Ht4i1ZRdKcz48p7wtwS9ytq/y3rhs56xTg03fC7VthIkuS\n0gjx1468p0drMo23kWvkUF3Sp0AWtRPZLoCvZTGgHYmjvahF19+twFOYKqD03jvX9iJvo402rhna\nJL+NNtr4SMG6NI0+VBdiU3Fk6t7S0D9aEVJvK6jNyiTf0JIaMj8DX7pLSNDr78qDDZQlbec7tYUo\nzkJBpAtlB5wqZ59NONl9I9HUCHb3YNYcK0bP/vufxChUMLwyy3YcZt2a6/LkmVzPnU1mdRyA7eUl\nUjpo8PJrP+P9s8PEzVpOeuNJ0ZsbXollOw6DktKjvm37QCkM2yUNGnTdv580ifNFR+rX0XGADhoy\nsR6SabCKAwy3iI584plLVErFPL7SrSzKSrJEC04sMhTH0LJbEIlGPZoezeMfdRyATrE6+1CKTMve\nZPzoHobPncmThF75xS9Zmh1/Gi6QW5A8/qpnU+pYhDkzTKHSgdm1HD8GnSUBKdNk5OIoZcfk8vOP\nybTfLZD6daxCKX8/tFJ6/FhL8dSk7GQMZIuP/qH9zAWJTOJt6RLQaSoSobCBTmJMy+Lue+5l45a7\ncj+AynoCDNuV5xz52N0rsj6Apmj7L58HpRjYLos6Zdmkfg1le7z82s8IaiKHeu9Xb/PK8RMoyyWe\nncBUKj8HXrkqzy9NMbuWy7lKYgzTWliEBA3svrV8YWqeWaMoO0+vvCSE3NeyGN1Rkt0rkPf56y+B\nF4CpZFHQMuv+4mX5+s1bYTaVxcD8jHwtqUz9L6dyHSVgELL6kQevybXdRhttXFu0SX4bbbTxkUK8\npAvlZ2k68yGMJwum2qfmJWFnV1mkLQdrQvjvK4q0Z3ohtYU3j0nM5iMVSBUsz6I4Mz0ym26nW3ex\ndq7I1sk5jMgnnr6A3T2Is2RVLs9ImvOkQYMLB7dz+oNfc+KXb/P2Gz/Jps67c123UajkGvzUr3Pn\n524DZ6FsSacphuNRLZcwvJJMiFt6fa/M5ecfk6n2157CcEtcOPA1lFsE02Zg+wFKnV1YtUtguyR+\nXSbtfgNtudjdKzCLHaA1c0HCB6felbz7VllW0CSdm+COLeJN2HzrJknqcYuoSEq37L61oDXJ/BQo\nMRCbXinTsh8m1Ro/0rz8+s95+fhJrK5ljB7ejb14OeiUZH4Knaa8ceJXeWRma/pv65hoalh2M3pW\nyK6E5bLoK48TKSsz3hrZ86jSt20fLx8/ibOon5nZWeIkzcus7O5BDKeQ7zRcOLQ93wEgTUX25BTE\nWOuVMHTCHVs259n4Em8qTb3jR/ego0Aagi2H+NIHKKUY+PqzKLeA3bNCfu53HsTIz6XsamjALFRk\np8Jy0RrSOGBgaB/advMCMFvHRPU5lGEQjJ1eiB51PFCgQx/QhBNnQacsVr7sPHks5NunGp6qw8UR\nIfjTY7m0i0TDidfl/lYkZ3d2LXzpLvlc6xppxWrGCjo60UqhdpQo/ro9zW+jjU8i2iS/jTba+Egh\nrHSjFdBpyG+oLACHZeZCpOb3GvLxzrJIdw7UpM3zwiW4fYNMNJsNmVa22j4v6oWW0QzN1MBZsoqB\noX2sWb+BimMQTw0TTpyDJAZg2Y7DGI6XSVlWMFerZzpshdWxRCbxkU/amBXymqaYXjaJDpuMffcR\nSa7pGmBg+wHmgpiBIZnat6b02q9RMNIFsqp1prffjzIMrrywN9emD2w/IMZaZWCWOvKdg6QxK0R5\n8XJirTn9wa8J4xjXdXGXrse0bEBkNuPTc6jMS6BtF8s0MGeGsQolIbKOJy2yfp3m/KyQ68WDkrbT\nLYbiaGoEtJZbwLEMvIIH1T7Jx5+fYfTIHk698zZhHGMvHsz7AlK/ho7EqNucnyVSVvY8hsUsnC2e\nrGxnpUWuU7+eRX820WmKshwM28tfSwyDJGiIn+HIHpEomTavHD+BH2t6v/wNwlTlr0Ea+izdcThv\n6sWWVKTLzz+GjgJ6v/wNSp1drL1+/Yem7vUsu9+l/2tPEU0OZ14AkStNvPhNiMNcHtS3bBAr83MY\nmfk6mRqB0M92VjSGW4Qkon9oP2OhJYtQH3nvtha1LmLInR6T97mTpeR4Sna0jr0ki+IDNSnL6uqX\nhW4pWbhmwkyqc/1aGJ4mVc5COVwbbbTxiUOb5LfRRhsfKZx+/ODVk0c3I/NTmTY5S9LM4zLTTJpw\n/VopzPriqEh5bCVf22OIOZFUvm96DL44ynvHXiWozeXtpB+cepdmaqBTLRPsgps3wKokykmo1poz\nk9LS2opftJaswSl3Yi9eThoHmB29HHvzBHd+7jY8xwKd5j+HVOdE3ix2oKOAga8/S6SsvBiqlW0/\neljIbtMPOPHLt+nrquaFVPbi5Wi/xth3HqTguULi05RochgnI5WBtmjOzRCNv48uLuLl13/O8bdO\nUdu6l6Qpev4kaOYxk4lfF4Id+nkcpt23lqQxJwTcrxFeOivdAX4tm0Q3+fQtN7Nh9XKU7WHODLNl\n0w04lc5cUtOo1wkungKgUHApdS7G6V9HMjuB3beW5twMl59/jKprYRYqIkXKjLytCX4aNDAcT8i4\n1ijDzBZOQq7dyiLICsXSNEEHdTlfaUr/0P483ScJmrz8+s85M1lHa83Ykd3ibTi8OzfHbtl0A8Vq\nJ2PfeZDm3Azvvfsrke1kzydpzEPmO9BpIqlK332ENGiiGleolIp4i/pxeldx6p23xBh8ZA86TRnY\nfoC116/HLFYY+PqzGFlPglGocPn5x/jDW+8UudlsIlGxrZK35ofSdsL5BdmNr+HpmnxdnylSnalY\nZGs28s9V4kMBMaRfuAQDZQwiklmbxvqN1/Qab6ONNq4N2iS/jTba+MihdsO/EsOgVRAS04oIjLMy\noMVroFQUonPjupy4EyFTUMeQ6WdBCRFqtd2+eQy6+jl90GcssnB6hQybhQqJ1ujiItIsQz1MVd6W\neseWzZRfepyqa6GcAspyMWyXsaMPY3evIJ6+QNKYJ56+gGG79H75G/ix5sc//AHLlw7gLFmdpehU\nhRgHkp7S/7WnUNn0V0c+cbOekcU6ZqGSlXCJIXXOj3j5tZ8BsnZJpkfwPPdDWfAutuuSBvWFeM/G\nLDgF0jRFWS7YHs25Gaaf243hlUQqpIxscu1j966S3QOlGHvuUXQUEI2dxnALQrzdoux8ZO2/Ogoo\nVjt57/1fc/K9M6SVPpTt5dn3LTmS4ZUxi1VZeCQQBAHmzDAV18ScGRZZUrVPGnlbxtSgDmkChoFO\nIoqlIiryGX36AZE7aU14+bwcZ9gkbtZIowCrcwnKsLB7V+GZYOiEsSO7UVoWeTpNIdPjF6udUp61\nZDXEAdVKmY1b7uL4W6dY9JXHwXLAKeD0r/uQJEjnBB2ke0BWnwCanq8+Qd+yQXTmzzC8MmuvX49n\nakhiRg/v4tQ7bxPMX5FFll8TSVVznmB+huNvncJb1E9p6To+cAyRmy0yZGK/yJD+iDCVCXyavRmq\n2Z/yiUTKs0CkOnP+Qp9ErynTf6OY90WoHUWUmVyjq7qNNtq41miT/DbaaOMjhXV7d0pJz3wIRiyp\nINetE5L+SEUiM19/V+Ix/3pAZAld/fLxrZtlShlkOv6GvnqREPjwFz9hY7CIu5MS4YSk21iLBlAZ\nOTccl4vP7CBNU87OxHkW+/C5M7msJL4yimepXN5D5KOVkrSWoJmbUDduuYvxC8NEE2cZPbybpD6L\njgIKxSJkchWigNXdJRzLErNvJk1p3drdKzDcInb3CpRXzsuhTMum6/79NOZmGMsm8j1ffQLDLbJ0\nx7MAecSm4XhiLF68HMMtEKZqwSCcxgS1WRqNZr7boLUmbc5nxlqJ/hw9vIs09ImzRCBlmNg9K1j0\nlcdpJNC/bR/B6GmazSbdy9cwOfKByGumRkSe49cYO/owaZJgdi0nMRw23SwTZLPaIzGj1T4xMg/t\nwyx1sv7Gm4hnxlm35jq67t/PmvUb8DwXq6MXHQeYhoFLRLGji/6HnsFw3CzC0sGqXWLzrZsIpkcJ\nJs6x9fO3s7q7JLKrzDsRzM/SaPoktWm01jRTg7MzMTryKb/0OMThgjQJLTr4OCBpzEtCUCbH+vD5\nKr/0OH1dVVmQZP6Mvq4qm2/dhFOq5HKr/Nx4ZbTWLN1xGLMoC7bUdun56hOMNDXJgRrpRDbVn8yS\ndDDBd8EuCHG/ryi3IPr9ZR689hL0ZhG0B2owne2EpQ25RiY0+mANI4rbpVhttPEJRZvkt9FGGx8p\nOPOTeP9uCnQsemIdi+HQRwhO+KFfWxdHpCjojZfh3Aj88oREZbakOgqRMOwsy60NfOku7vzcbbiV\nRSzbeZhCoQBz4/mkNg0aKNPC7l4Bc+M0Gw38MKbRaKIjX8yaQR3HksKr/qH9mIuXo007S9spEM9O\noLNFQjM1KBQXstGX7jhMXF6CBuKZcTTQ11XNW2Rb5LGVftNqzY0mM7364V3Ek8MkjXmREiklufOZ\nUTgNJNbS7l6xELEZ+jmpj5v1fMdASH8Rp3dlno3v9K4Uo7DWjB7eBZbDsp1HUKbNsp1HWLfhBoxM\nSx5eOsuVF/aiM0mNWRQSO+dHgLTxrrtuFV+443OEM+PSIuuYxNMX8jKpVpynst3sPDS5eOgBdBzy\nwal384XS9HO7+eDM2Vxbr2wXc/FyQEy0l59/DDRcfv4x7tx8S96OCws+hL6uKp6l0HGAZ2oSrTG9\nMv33P4nKiDVz4ziWNOYqrYkmh/OYS7t7ELtUZc36DRIt6niQxqRBnQuHtgM67xHwr4wRTpwlnpvI\nYzu3bLqB8aN7CC+dzSVCadAgTWS3Qbem+kGTi8/s4N84fVw39H9TKa6B2z8PBUs09euvg/M1WdRa\nBSHxvcZCa/MDrrzXp1NZGHgdUCxAgsTIxlKWpbKOiHYpVhttfDKhtNafKMdNmqbMz89fdV+lUsEw\n/mnrmZMnTxJFEbZt86lPfeq/xyG2cQ3QPm8fT5w8eZJVv/8ApffewUwDkRkcqMntU3UoWSI3GJ6G\nPluKfr7XWHiA2azF9mBNiP2BTKvsKHSoUctMzs64PPipuznxy7eZCxKJbDRNUttlYGg/o0f2MDC0\nj7Eje6i4JvNhSv+2bzN6eDdVT4h9bevefLJtOJJnr9MUVaiQNOZYtvOIEGRgYPsBWRhoTRI0MRwP\nz1IECfQP7WfixW9i1S5l8hef0A9IQQhk6JNojbI97O5B4pkx0uY8ds8KrNol5sbO0b18DfNBjNaa\nge0HmHjxm8Qzl0TD7haxuwcxZ4bxEyU6/jggnhknjQKRKdVnUdnvR2W76CjE6V9LNHkeu3sF4dj7\naC3JQDoKKBQ8gtSgf9u389dobn4ejUJrjVmskjbniWbGufuee3np1ddRbhEjCiiXS8wHsRybKURa\nmzY6TSk4Jptv3SSSJNtlYPuBTPOeQhJl0ZMJKEhDiflctuso40f34BiaMFU4hmbzrZv48Q9/cBWx\nb2Xtjx7aTqq1GKnjkNRysLtXiMcgqONWFlEwUiJlsegrj4teP0kwbBdr0QDB2Oks4rRJqbMLHfl0\n3b9fys0cNz/Xn//0p/Kf3VpofBjV/pUE2sJaNJDvdFiFMmXHpJka9Hz1CcaOPkzSnJeEoCjA39Ap\nkrSn5qX4LTSgaAihPyD+CAINhgVOKh8XCrIQ+IufyA8e7JJFcKrlmvpeAz2j+eVf/7f278mPEdp/\n3z6e+Oeet38Kv21P8ttoo42PFE4/fpBoaZ9MJp/OojO/XZfM8AdcISkgkpzvZMVWk1r++al8j0aI\nfkbw00gTY/LehOJ8LeGnr/2M+XqDgaF9OEtWEScJOpOkGJHP2NGHsRYvZ86PMo34btKwmWv0x44+\njI5C3IHrJV0HJFkmTVCWw8SL3ySNgrygKgmaoAz5+gwqCvLiJmV7LPrK4ySGg1vpwO5bi2nZpJYj\n8ZVhEx0HpM35vFU1TBUbt9zFpps34prkRt3w0hlprs3y+6OpYWluDepEk8MyRQ4aUt6lNYZhEM2M\nE83IFF3rVBJsggbR1AhLdyyYQ5XtEpeXiGn38C4Sv86cH6ExRNoD6CRGpyndy9fw8us/R7klBob2\nk1oO80GCtXgQu3cVVqGMuXi5PK5h0qg3ePnY34ii5ENGVrtrALtnBf3bvp1l1h/A6V2BWerg4qHt\naK1pNJoY1V6aTJyhUAAAIABJREFUjQYvv/5zvCWrOPbmCc7OxLxx4ld8cOpd8R1AvmORgngOsudq\nFcr0fPUJmqmBX5vLU3IKjglhg3DstCT5aDC8Ejry2Xzrpjz6tHWu09Dn1V+cpLZ1Ly8fP5nn8oPs\nKHhLVtGoN0ia85KslMQYbpG+bfuY8yOC2ixjR3ZTcQzpORgSmRJd/eJTsbPMfCuBNIIn5sVs22PA\nDdfDdAir18IjZWm//YufiD5/RVkM6TtKcn0cqKEvpyTWQidBG2208clCm+S30UYbHyms27sT5+yw\ntHY2NHR0SnJOT0b6I2QiaSv5OAWSFCwt5KWZbU76Oo8fNHpNzromNwaL+NqOP8MsVNCWw8VD24kn\nh3MZjTJMUq1JggbRpCSzOEtWZ2kvHh+cOQsghVS2QzQ5LNNxyxE5j07RUUA6NwFpgk6iXJKjk4R4\naoSB7QeIy0twKx2svW41lVKRxtwMo4d3Ecxfwfd9ovH3CWqzgOLCgW0AJLMT8ryyLPg0aOZtq8r2\nMIsdWfFViaUPHsqbeNOgidWzAuUUss8XwTClgVbFkuefQRlGlv0uPgAdNhl77tEPJdw0s6/Usovh\nFjPy7zD23KPS7Du0D7PUwVyQoA1L9O/ZcaRJTDD6HvHMOMH8DOGlsx+KDC1lj+V9yJtQJLx0Vr7u\n8O7sOUmpWFKfQWXlV4bjZUclEZ992/bRbPrEUyP0fPUJzGJFbt0CUeYpMBxPzrnlYGZT9MvPP0YU\nBCRxTDwzTpIkNOp1sD1pw81KsQaG9hGmKpfg6MhHx3Ku0yQh9ht5h8D4tCxK777nXt448Sv6tu3D\nLFbzxYbdNUAa+vkCQQzXDZqpQRQEXH7+Mfq6qkLWI3KCTgQ8lBnKEy3Xy4VLcnpaHpVWZOz0mMRv\nOshOgF2AzVup3fyviJd0tcuw2mjjE4o2yW+jjTY+Uii/9TcYPUqyuy1DjIKnfg0XU9EUJyn4syI3\naOXot2I2PQVLsobcPjOP2dSXEqYWyxRdDLAzKNNGA57nov26mFeb8+AUpIkWjTIMwktnZHKfpvRt\n28fxt06hMiOsTIKH88hHe/EgbqVTyLBh4vSsIA19lGmDApVp+uPJYRqz09S27mUuSLBbOepemf6h\n/WA52fRcSHlrUqyUQhmiwTfcAlde2MvwuTPYOkb7tUxC1OTCwSEMt5R/fzw5jM4iJNNIjsfq7MP3\ng6teezMj19HUCJ6l6KiUsQyFAnQSYbiFzHdQwuldid09yOiR3bn+P8nIbdKYZ2BoH8owiGfG8Cwo\ndXZhdw0saP+XrMpSexYiQy8eekAiKaMgL75CKWnsTZOsHdgQYl7syH6++CgEmnDiPBcODon8KSsc\nC+dnuPLCXtKgSbHaiRGHJJl3IWnMY3UtE++EkaIMhbNkFVZnH8t2HpFzsu3beQRnGjRyY3W1fyXH\n3zqFqRSGIcZXZ8kqlu08AmiS6REh6CBkv9qX/cw5wolzsmC5dBbD8QgvnQEUZmUxyimIP0CBZS78\nmW7EPiwxSFuJsAeznS6Q5J2s0ThvfW7JdLr6xc/SbUC1CKM1+IufYM9P4v3P023jbRttfELRJvlt\ntNHGRwrKZiEj38wkOmksU8hdZSHxrQKsnuxXWCtLPNAi3zlQg0uJkP6dZZqOwd2zzSxnXabd/fc/\nidOzQkywSkkIojIWJs9hkBPvpDmPTiLRiEc+/du+TTx9AYVGR75MbbsHCS6eIooi0jTFLFTyHP1W\nEZZZrABIo6pT4MJBaWttEb7WYsPuXiFT64zA2t0rsihJMU22SGZzboZAW8zN1whnxlHKEJNsRjpH\nn35APAfdgyhgdXcJpVOUYYp51Stz7M0TbNxyF3ffcy9lxxQDqU5p1iW2s+erT6CyiX2+UAjqhBPn\nROqSFVQpy8njNQ1DSZJO0EDHEY16g/rMFOHEuQVyO3EubxIGnUmZZGFFmuRyllY2vrTEFvLFQ9KY\nld2WLGa09Vov23lYsva378/LwYxCGR35KK9MXOpF29kU37RxB9YRTQ7T89UnCGMpQGsd54WDQ6BT\nLh7aDmlCPDsBaOxgliSO8GNNY25WpD+GJelDWUKREYeYls2rr/88Nw+v6rQwDINlu45S6ljEnZtv\nkYXO9gOgDAxX4ll1FDL23UcgDln0lcfz3YBjoUM4ZWDsLC804rrZgng6hbgJA2XocqDLFN9KlyOt\nt6EB8+7CTtiKMs6ZYZLDUdt420Ybn1C0SX4bbbTxkUJilUif8SE25Y79NblNWYgCtLK4wOoa8EyJ\n1gRZAGSFWTorwkoP1vhFZEsGfhZvmQYNxo7sJrp8Hqt2SYj44uUYTiErbdKgEy4c2o4yLTBMlu04\njFIGjiWNqCpsYpeqQhYVWPUJzEJ5oTCpPpMRWDK5yS6C2ixpmnLx0AOobDK+bOcRDLdI1bNRponW\nWgyepoUR+ZiWlSe8KFcy7wHSJAZHJu/KLQKyUzB2ZA/Kdunbtg+7WMEqlOj98jcoVDvp66pSKBZR\nSVbk5NcIU0Vt616Ov3WKuVod0yuLXMcroaMwk5E0GX36AUy3gFW7hOmVWLbzCLbjogxTdio0RJfP\nM350D9VyCc91MgnOfsxiFbPYgeEUcomPW+7AXboBwxUSH02NZJKYA5jFDtyB61GmnacFRZeH8/OG\nRkyyBQ9nYD0AFw5tzxYNQ+KjOLwr9xWIvMqj/2tPEU9fIM1Kv5KspTgN6pJUlMl/3HIHlmFgZsfq\nlKp5tKfhih5fdkoOSMSr7aEMI9+lMNwi2pb239R2qW3dS6Qs+rqqJIFIoPzaHMfePEEaysLJcLw8\nRUlnUi+dJowf3cPwuTPcfc+9/Ibq4PWmSfrUvLzPn5oX74qjoCvrhkiaYCeyCNhRlI87EzHpLl0O\nD5nia9lmYhQ0Uc8Szjz1zP/oy7qNNtr4F8A1I/m1Wo1HH32UgYEBPM9j06ZNfP/73/97v++73/2u\nbFH/Hf/Gx8evwZG30UYb1wqrH3kQZUTQSCQhpCXJcRTsLsvE3kZkO5u3igzBdcWYG2q4ksrX9hho\nR9EYt/iF0cHdVq+UQSmDeGaczo6qZKd/7jYGV67OyaDdPQiGgdXZB8rELFTov/9JDNsV861fp5ka\nUO2TqXy1T0h1FLB86QAqbGbNrSaGV0ZZIotRtpDh1tRWOR6VUlFMvkf2oLPH1YaF3T2I4RTwPBe3\n0kH/Q8+QRj4XDz0AgNaaeHZC2mgXL5eEG0d+lftXxrjjM5/Cs5SQ4WofjqEZP7qH+sw0P331DfxY\nUhoKhQIDX3+WNPQlBjPywXJErjM5LGbfVLTp6BTlFOjbtk9kMFpz4cA2ojBA2S79X3sKlMLpX4dj\nSN58XOqFULLik8YcaXMO4gB78XIuHtpOWJ/LPA2DeWmWjsK8xCuaHM50+QV0FKLROEtWSXa960p5\nVrNJOHZaiHjPClAmhltcMDgrBTqlWinzmZvWM/3cbhQaZZoMDO0HZWJ19IIy6Ouq0pybYezowxSM\nFP/KGBXXZOzIHlmchYEcZ/cgYarQoexCKMOUpuMoyHcpCJv0D+2TBaOGCwe+RrPZ5NVfnBSDsta4\nrkMQhCjLJp4Zx4jDPD71w+9BrSHpHGR8eg7/yhhfmGlgVIuwq4y2FcnF9OodrFDLhL+Z9UP0GGJK\nN4qi2X82kPbcgzV0XWOPXmpr8tto4xOKa0byf/u3f5vnnnuOP/qjP+Kv/uqv+MxnPsN9993HCy+8\n8A/6/qNHj/LGG29c9W/x4sX/g4+6jTbauJaw5ycxt9sYjpY88FZCTqatRyOmwdu3it64ZSgsWJle\nWx5HX04xdpa5YGn+rdWFjgLiK6N5w22kLDZuuYtjb56gtnUvZlZMFE2N5I21huOSNOYYPbxb9Neu\nhVPphGof8dQISWMe5saxFi/HLFaobd2Ltj0KRsrkyAcQNlGGIbIYw8DqWpaRXjFk1sKENes3cMdn\nPsX1N24UWYxh5FN7P9bUZ6YZPbwbw3JRtiNT4mzim4ZiLFWRz+TIB9x9z71U+1fy8vGTJJ2DKKVY\n1Wmx+dZNYugsVlGWw8D2/dg9K9CRLzIUy6E+e4Vm08+nymnkSzmTV5ape2URVtcyxo4+TGNuJpMx\nySRbirIkfUhNn0PZnkhfxk5L265fp9TZRUe1ilKKeGoY5RQkNShbXKWZ0dnpX4sOmxhu6SrjMKYF\nGpLaNEmSEMzPEE2ezxN/Rg/vIpoelRjLbBqeBs1MtnOAWpjw4x/+gMGVq2Wh4pWzVBw516Zb4Phb\np9CmjVntYXa+xt333EstTLI8/ALLdkrKUTQ5jGNotn7+dkxX5F/R5DCG5WbtxE0K1c68VbglD7O7\nV5CmKWPfeRDt1wiCEG25OL2rKBQKfP72z+J5rpiQs1ZlZTv0D+0jnr7A8LkzdC9fw8Ytd/HqfMrp\nQwE/695I6BjiP3mkIpGZypJrJQXcjgWJThyCCmWq7y14WMwddluT30Ybn1Bck5z8v/zLv+See+7h\nhRde4L777svv/+IXv8g777zD8PAwpmn+nd/73e9+l23btnH8+HE+/elP/70/q52T3wa0z9vHFfNf\n2Ez53f+GCrRIbyYSIS+H6mB4MsW/6UO531+6S/TGnYmkiywyYCJBp/C+azEa2fxPuiKmVdtFxyGm\nW4A4pP+hZ7jywl6WLx3gg1Pvom2PxK8BSqQqoc/SHc9y+fnHSBrzpLaXtZ/K9HlVp8X4hWGaqUEw\nfwXDK0OaYrsu9Yun6V6+hrlaHcPxKDtmHr957M0TxOUlRJfP4/Sv+1uPozLpRxoGefb62HcfIWnM\nYhY7SJtzXH/DRk6fehe7b21O9FPbxepYQu+XvyFJOH6NrZ+7jR//8Ad4S1bRt21fnt2vkog7tmzm\nlV/8kv5t35aYz/mp/GckjVkMr0zq1zBMC6UUXrmKjnyaYYLdNUB46SymZeU5907vKpgdo2Bq+pYN\n8t67v8LuWUF4+TzLdhyWCMviInq//A1GD23HLlVJ4oi+bdJJkPg1kf7YQpzHvvuImHD9+lXnY+y5\nR0nqs2AYGLaHSkIqpSJztTpYjkz90wTDLZAGjez5zNHZUSWM46vy9F99/eektityHmVA1kcQTY3g\nmRrfD1BemaQ+K025WUHalk038OMf/oBq/0ri8hLCiXNC8P1aXpqVTI8Q+w0Mp0Aa1DGLHfR/7Sku\nP/8YZhoSl7NzdfRh+fluEatrGfH0hbyXIQ1EPpX4NZwlq4knh7H71hKOnUbZHsQBTT2BqbR4WDZv\nhbeOycL3YE12MlALfRLzrrRI10JwFdrXBNetIKr2UPnpsX+py76NfyTaf98+nvjE5uT/+Z//OeVy\nmd/5nd+56v5t27YxOjrKz3/+82txGG200cZHHGeeegYdZm21V1KZRh6qQwBUAiEvv3gFbt8g5sHp\nMWhkrZ6BhvuKaEcRAxv1AF/7+v+J3SNxkIZpgdYkgY82bS4e2s5nblpPX1eVVGta046W9rrV+Bo1\n5kktJ5/066ABc+O8987bzAeJRDNmOwEYBkljnrvvuZdmajDw9WdxXZe+ZYOMXxhmfHoOx7JQjSs4\n/euIp0b44NS7eQGS4RZZ+uAhANyBdaShz4WD29FJBMoQ+YpXpq+rSrVcIpoapn9oX7YAGSS6PCxy\nl2YNZbm8cvwE1f6VlB2T8kuPc+fmW7hz8y2svX69ENygsRBJ2ZwHZYiR1Wt5C8qkSYw2beqzV3As\ni4JjYgezfOGO21l7/XqZ6psm8fQIPb/3JJHK2mJbOyK2y+iRPQTzMyRTI1x5YS93fu62LHpSugJU\n5GN6ZTBtlGVz4eB2ksaceBIyn4OyHS4cHELHIShDEpCUtNLOzM6BJQsiu2cQwy0gnzQkrcaQUjM/\n0mhN3mhrFivYWW5/odqZ7yiQpviJQicJOo5wl64HZRCNv0/BSBmfnuPue+7Nz6VpmrkXQ7oJhOBL\nyo5AJ5GYmqt9NJt+HuWZNGuoLMGHuXFU2FyIFXWLWZKS+CqwHOLpC1kak6QwBY5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pFZOGp+hJJ6o+8UK5/jv/ugJFahSMkxNZM8uLvZtatriOemUEFLs/U/Zz8xXH3QCKYvpDjNGsXO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\nZ7I6Bginz5DJt+KXlzBa8gTlRZm0GnhYXYMEM+fSTnQVZ9UGjMUig6vX0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R8AACAASURB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l6cQKExdCwk2i0wtOcYyjAY3biZQrHI8P5TWN0DFIoFcqUKVn2WfKWbwT1HJQt/z1FqfpRN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\nZ7A79uJ7LnaphGHGeTJW4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"text/plain": [ "<matplotlib.figure.Figure at 0x20faf4fb438>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from numpy.random import uniform \n", "\n", "N = 20000 # number of points\n", "radius = 1\n", "area = (2*radius)**2\n", "\n", "pts = uniform(-1, 1, (N, 2))\n", "\n", "# distance from (0,0) \n", "dist = np.linalg.norm(pts, axis=1)\n", "in_circle = dist <= 1\n", "\n", "pts_in_circle = np.count_nonzero(in_circle)\n", "pi = area * (pts_in_circle / N)\n", "\n", "# plot results\n", "plt.scatter(pts[in_circle,0], pts[in_circle,1], \n", " marker=',', edgecolor='k', s=1)\n", "plt.scatter(pts[~in_circle,0], pts[~in_circle,1], \n", " marker=',', edgecolor='r', s=1)\n", "plt.axis('equal')\n", "\n", "print('mean pi(N={})= {:.4f}'.format(N, pi))\n", "print('err pi(N={})= {:.4f}'.format(N, np.pi-pi))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This insight leads us to the realization that we can use Monte Carlo to compute the probability density of any probability distribution. For example, suppose we have this Gaussian:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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ufzayc30ebF/8pbtEpPjuia5NyunzvPf9Pv66OJGQQG86hAUaHUtESpDJeWnz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\nxDGpJyIiIiIa4pjUExERERENcf8PRZFI9KHxpVIAAAAASUVORK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0x20faf4d5588>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from filterpy.stats import plot_gaussian_pdf\n", "plot_gaussian_pdf(mean=2, variance=3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The probability density function (PDF) gives the probability that the random value falls between 2 values. For example, we may want to know the probability of x being between 0 and 2 in the graph above. This is a continuous function, so we need to take the integral to find the area under the curve, as the area is equal to the probability for that range of values to occur. \n", " \n", "$$P[a \\le X \\le b] = \\int_a^b f_X(x) \\, dx$$\n", "\n", "It is easy to compute this integral for a Gaussian. But real life is not so easy. For example, the plot below shows a probability distribution. There is no way to analytically describe an arbitrary curve, let alone integrate it." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x20fb07379e8>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pf_internal.plot_random_pd()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use Monte Carlo methods to compute any integral. The PDF is computed with an integral, hence we can compute the PDF of this curve using Monte Carlo. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Particle Filter\n", "\n", "All of this brings us to the particle filter. Consider tracking a robot or a car in an urban environment. For consistency I will use the robot localization problem from the EKF and UKF chapters. In this problem we tracked a robot that has a sensor which measures the range and bearing to known landmarks. \n", "\n", "Particle filters are a family of algorithms. I'm presenting a specific form of a particle filter that is intuitive to grasp and relates to the problems we have studied in this book. This will leave a few of the steps seeming a bit 'magical' since I haven't offered a full explanation. That will follow later in the chapter.\n", "\n", "Taking insight from the discussion in the previous section we start by creating several thousand *particles*. Each particle has a position that represents a possible belief of where the robot is in the scene, and perhaps a heading and velocity. Suppose that we have no knowledge of the location of the robot. We would want to scatter the particles uniformly over the entire scene. If you think of all of the particles representing a probability distribution, locations where there are more particles represent a higher belief, and locations with fewer particles represents a lower belief. If there was a large clump of particles near a specific location that would imply that we were more certain that the robot is there.\n", "\n", "Each particle needs a weight - ideally the probability that it represents the true position of the robot. This probability is rarely computable, so we only require it be *proportional* to that probability, which is computable. At initialization we have no reason to favor one particle over another, so we assign a weight of $1/N$, for $N$ particles. We use $1/N$ so that the sum of all probabilities equals one.\n", "\n", "The combination of particles and weights forms the *probability distribution* for our problem. Think back to the *Discrete Bayes* chapter. In that chapter we modeled positions in a hallway as discrete and uniformly spaced. This is very similar except the particles are randomly distributed in a continuous space rather than constrained to discrete locations. In this problem the robot can move on a plane of some arbitrary dimension, with the lower right corner at (0,0).\n", "\n", "To track our robot we need to maintain states for x, y, and heading. We will store `N` particles in a `(N, 3)` shaped array. The three columns contain x, y, and heading, in that order. \n", "\n", "If you are passively tracking something (no control input), then you would need to include velocity in the state and use that estimate to make the prediction. More dimensions requires exponentially more particles to form a good estimate, so we always try to minimize the number of random variables in the state.\n", "\n", "This code creates a uniform and Gaussian distribution of particles over a region:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from numpy.random import uniform\n", "\n", "def create_uniform_particles(x_range, y_range, hdg_range, N):\n", " particles = np.empty((N, 3))\n", " particles[:, 0] = uniform(x_range[0], x_range[1], size=N)\n", " particles[:, 1] = uniform(y_range[0], y_range[1], size=N)\n", " particles[:, 2] = uniform(hdg_range[0], hdg_range[1], size=N)\n", " particles[:, 2] %= 2 * np.pi\n", " return particles\n", "\n", "def create_gaussian_particles(mean, std, N):\n", " particles = np.empty((N, 3))\n", " particles[:, 0] = mean[0] + (randn(N) * std[0])\n", " particles[:, 1] = mean[1] + (randn(N) * std[1])\n", " particles[:, 2] = mean[2] + (randn(N) * std[2])\n", " particles[:, 2] %= 2 * np.pi\n", " return particles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.772, 0.336, 4.17],\n", " [ 0.333, 0.34, 4.32],\n", " [ 0.6, 0.274, 5.02],\n", " [ 0.0539, 0.0218, 5.03]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "create_uniform_particles((0,1), (0,1), (0, np.pi*2), 4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Predict Step\n", "\n", "The predict step in the Bayes algorithm uses the process model to update the belief in the system state. How would we do that with particles? Each particle represents a possible position for the robot. Suppose we send a command to the robot to move 0.1 meters while turning by 0.007 radians. We could move each particle by this amount. If we did that we would soon run into a problem. The robot's controls are not perfect so it will not move exactly as commanded. Therefore we need to add noise to the particle's movements to have a reasonable chance of capturing the actual movement of the robot. If you do not model the uncertainty in the system the particle filter will not correctly model the probability distribution of our belief in the robot's position." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def predict(particles, u, std, dt=1.):\n", " \"\"\" move according to control input u (heading change, velocity)\n", " with noise Q (std heading change, std velocity)`\"\"\"\n", "\n", " N = len(particles)\n", " # update heading\n", " particles[:, 2] += u[0] + (randn(N) * std[0])\n", " particles[:, 2] %= 2 * np.pi\n", "\n", " # move in the (noisy) commanded direction\n", " dist = (u[1] * dt) + (randn(N) * std[1])\n", " particles[:, 0] += np.cos(particles[:, 2]) * dist\n", " particles[:, 1] += np.sin(particles[:, 2]) * dist" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Update Step\n", "\n", "Next we get a set of measurements - one for each landmark currently in view. How should these measurements be used to alter our probability distribution as modeled by the particles?\n", "\n", "Think back to the **Discrete Bayes** chapter. In that chapter we modeled positions in a hallway as discrete and uniformly spaced. We assigned a probability to each position which we called the *prior*. When a new measurement came in we multiplied the current probability of that position (the *prior*) by the *likelihood* that the measurement matched that location:\n", "\n", "```python\n", "def update(likelihood, prior):\n", " posterior = prior * likelihood\n", " return normalize(posterior)\n", "```\n", "\n", "which is an implementation of the equation\n", "\n", "$$x = \\| \\mathcal L \\bar x \\|$$\n", "\n", "which is a realization of Bayes theorem:\n", "\n", "$$\\begin{aligned}P(x \\mid z) &= \\frac{P(z \\mid x)\\, P(x)}{P(z)} \\\\\n", " &= \\frac{\\mathtt{likelihood}\\times \\mathtt{prior}}{\\mathtt{normalization}}\\end{aligned}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We do the same with our particles. Each particle has a position and a weight which estimates how well it matches the measurement. Normalizing the weights so they sum to one turns them into a probability distribution. The particles those that are closest to the robot will generally have a higher weight than ones far from the robot." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def update(particles, weights, z, R, landmarks):\n", " weights.fill(1.)\n", " for i, landmark in enumerate(landmarks):\n", " distance = np.linalg.norm(particles[:, 0:2] - landmark, axis=1)\n", " weights *= scipy.stats.norm(distance, R).pdf(z[i])\n", "\n", " weights += 1.e-300 # avoid round-off to zero\n", " weights /= sum(weights) # normalize" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the literature this part of the algorithm is called *Sequential Importance Sampling*, or SIS. The equation for the weights is called the *importance density*. I will give these theoretical underpinnings in a following section. For now I hope that this makes intuitive sense. If we weight the particles according to how well they match the measurements they are probably a good sample for the probability distribution of the system after incorporating the measurements. Theory proves this is so. The weights are the *likelihood* in Bayes theorem. Different problems will need to tackle this step in slightly different ways but this is the general idea." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computing the State Estimate\n", "\n", "In most applications you will want to know the estimated state after each update, but the filter consists of nothing but a collection of particles. Assuming that we are tracking one object (i.e. it is unimodal) we can compute the mean of the estimate as the sum of the weighted values of the particles. \n", "\n", "$$ \\mu = \\frac{1}{N}\\sum\\limits_{i=1}^N w^ix^i$$\n", "\n", "Here I adopt the notation $x^i$ to indicate the i$^{th}$ particle. A superscript is used because we often need to use subscripts to denote time steps the k$^{th}$ or k+1$^{th}$ particle, yielding the unwieldy $x^i_{k+1}$. \n", "\n", "This function computes both the mean and variance of the particles:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def estimate(particles, weights):\n", " \"\"\"returns mean and variance of the weighted particles\"\"\"\n", "\n", " pos = particles[:, 0:2]\n", " mean = np.average(pos, weights=weights, axis=0)\n", " var = np.average((pos - mean)**2, weights=weights, axis=0)\n", " return mean, var" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we create a uniform distribution of points in a 1x1 square with equal weights we get a mean position very near the center of the square at (0.5, 0.5) and a small variance." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 0.494, 0.514]), array([ 0.0833, 0.0846]))" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "particles = create_uniform_particles((0,1), (0,1), (0, 5), 1000)\n", "weights = np.array([.25]*1000)\n", "estimate(particles, weights)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Particle Resampling\n", "\n", "The SIS algorithm suffers from the *degeneracy problem*. It starts with uniformly distributed particles with equal weights. There may only be a handful of particles near the robot. As the algorithm runs any particle that does not match the measurements will acquire an extremely low weight. Only the particles which are near the robot will have an appreciable weight. We could have 5,000 particles with only 3 contributing meaningfully to the state estimate! We say the filter has *degenerated*.This problem is usually solved by some form of *resampling* of the particles. \n", "\n", "Particles with very small weights do not meaningfully describe the probability distribution of the robot. The resampling algorithm discards particles with very low probability and replaces them with new particles with higher probability. It does that by duplicating particles with relatively high probability. The duplicates are slightly dispersed by the noise added in the predict step. This results in a set of points in which a large majority of the particles accurately represent the probability distribution.\n", "\n", "There are many resampling algorithms. For now let's look at one of the simplest, *simple random resampling*, also called *multinomial resampling*. It samples from the current particle set $N$ times, making a new set of particles from the sample. The probability of selecting any given particle should be proportional to its weight.\n", "\n", "We accomplish this with NumPy's `cumsum` function. `cumsum` computes the cumulative sum of an array. That is, element one is the sum of elements zero and one, element two is the sum of elements zero, one and two, etc. Then we generate random numbers in the range of 0.0 to 1.0 and do a binary search to find the weight that most closely matches that number:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def simple_resample(particles, weights):\n", " N = len(particles)\n", " cumulative_sum = np.cumsum(weights)\n", " cumulative_sum[-1] = 1. # avoid round-off error\n", " indexes = np.searchsorted(cumulative_sum, random(N))\n", "\n", " # resample according to indexes\n", " particles[:] = particles[indexes]\n", " weights.fill(1.0 / N)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We don't resample at every epoch. For example, if you received no new measurements you have not received any information from which the resample can benefit. We can determine when to resample by using something called the *effective N*, which approximately measures the number of particles which meaningfully contribute to the probability distribution. The equation for this is\n", "\n", "$$\\hat{N}_\\text{eff} = \\frac{1}{\\sum w^2}$$\n", "\n", "and we can implement this in Python with" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def neff(weights):\n", " return 1. / np.sum(np.square(weights))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If $\\hat{N}_\\text{eff}$ falls below some threshold it is time to resample. A useful starting point is $N/2$, but this varies by problem. It is also possible for $\\hat{N}_\\text{eff} = N$, which means the particle set has collapsed to one point (each has equal weight). It may not be theoretically pure, but if that happens I create a new distribution of particles in the hopes of generating particles with more diversity. If this happens to you often, you may need to increase the number of particles, or otherwise adjust your filter. We will talk more of this later." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SIR Filter - A Complete Example\n", "\n", "There is more to learn, but we know enough to implement a full particle filter. We will implement the *Sampling Importance Resampling filter*, or SIR.\n", "\n", "I need to introduce a more sophisticated resampling method than I gave above. FilterPy provides several resampling methods. I will describe them later. They take an array of weights and returns indexes to the particles that have been chosen for the resampling. We just need to write a function that performs the resampling from these indexes:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def resample_from_index(particles, weights, indexes):\n", " particles[:] = particles[indexes]\n", " weights[:] = weights[indexes]\n", " weights.fill (1.0 / len(weights))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To implement the filter we need to create the particles and the landmarks. We then execute a loop, successively calling `predict`, `update`, resampling, and then computing the new state estimate with `estimate`." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "final position error, variance:\n", "\t [ -0.106 0.106] [ 0.0086 0.00757]\n" ] }, { "data": { "image/png": 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GrVdSUqKRI0fqxx9/1JtvvqklS5Zoz549uuqqq2RZ1jk1GgDQNOfn56tECnqk5uZKffqc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\n6KPyeDxaunSpvvn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"text/plain": [ "<matplotlib.figure.Figure at 0x20fb07c6198>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from filterpy.monte_carlo import systematic_resample\n", "from numpy.linalg import norm\n", "from numpy.random import randn\n", "import scipy.stats\n", "\n", "def run_pf1(N, iters=18, sensor_std_err=.1, \n", " do_plot=True, plot_particles=False,\n", " xlim=(0, 20), ylim=(0, 20),\n", " initial_x=None):\n", " landmarks = np.array([[-1, 2], [5, 10], [12,14], [18,21]])\n", " NL = len(landmarks)\n", " \n", " plt.figure()\n", " \n", " # create particles and weights\n", " if initial_x is not None:\n", " particles = create_gaussian_particles(\n", " mean=initial_x, std=(5, 5, np.pi/4), N=N)\n", " else:\n", " particles = create_uniform_particles((0,20), (0,20), (0, 6.28), N)\n", " weights = np.zeros(N)\n", "\n", " if plot_particles:\n", " alpha = .20\n", " if N > 5000:\n", " alpha *= np.sqrt(5000)/np.sqrt(N) \n", " plt.scatter(particles[:, 0], particles[:, 1], \n", " alpha=alpha, color='g')\n", " \n", " xs = []\n", " robot_pos = np.array([0., 0.])\n", " for x in range(iters):\n", " robot_pos += (1, 1)\n", "\n", " # distance from robot to each landmark\n", " zs = (norm(landmarks - robot_pos, axis=1) + \n", " (randn(NL) * sensor_std_err))\n", "\n", " # move diagonally forward to (x+1, x+1)\n", " predict(particles, u=(0.00, 1.414), std=(.2, .05))\n", " \n", " # incorporate measurements\n", " update(particles, weights, z=zs, R=sensor_std_err, \n", " landmarks=landmarks)\n", " \n", " # resample if too few effective particles\n", " if neff(weights) < N/2:\n", " indexes = systematic_resample(weights)\n", " resample_from_index(particles, weights, indexes)\n", "\n", " mu, var = estimate(particles, weights)\n", " xs.append(mu)\n", "\n", " if plot_particles:\n", " plt.scatter(particles[:, 0], particles[:, 1], \n", " color='k', marker=',', s=1)\n", " p1 = plt.scatter(robot_pos[0], robot_pos[1], marker='+',\n", " color='k', s=180, lw=3)\n", " p2 = plt.scatter(mu[0], mu[1], marker='s', color='r')\n", " \n", " xs = np.array(xs)\n", " #plt.plot(xs[:, 0], xs[:, 1])\n", " plt.legend([p1, p2], ['Actual', 'PF'], loc=4, numpoints=1)\n", " plt.xlim(*xlim)\n", " plt.ylim(*ylim)\n", " print('final position error, variance:\\n\\t', mu - np.array([iters, iters]), var)\n", " plt.show()\n", "\n", "from numpy.random import seed\n", "seed(2) \n", "run_pf1(N=5000, plot_particles=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most of this code is devoted to initialization and plotting. The entirety of the particle filter processing consists of these lines:\n", "\n", "```python\n", "# move diagonally forward to (x+1, x+1)\n", "predict(particles, u=(0.00, 1.414), std=(.2, .05))\n", "\n", " # incorporate measurements\n", "update(particles, weights, z=zs, R=sensor_std_err, \n", " landmarks=landmarks)\n", " \n", "# resample if too few effective particles\n", "if neff(weights) < N/2:\n", " indexes = systematic_resample(weights)\n", " resample_from_index(particles, weights, indexes)\n", "\n", "mu, var = estimate(particles, weights)\n", "```\n", "\n", "The first line predicts the position of the particles with the assumption that the robot is moving in a straight line (`u[0] == 0`) and moving 1 unit in both the x and y axis (`u[1]==1.414`). The standard deviation for the error in the turn is 0.2, and the standard deviation for the distance is 0.05. When this call returns the particles will all have been moved forward, but the weights are no longer correct as they have not been updated.\n", "\n", "The next line incorporates the measurement into the filter. This does not alter the particle positions, it only alters the weights. If you recall the weight of the particle is computed as the probability that it matches the Gaussian of the sensor error model. The further the particle from the measured distance the less likely it is to be a good representation.\n", "\n", "The final two lines example the effective particle count ($\\hat{N}_\\text{eff})$. If it falls below $N/2$ we perform resampling to try to ensure our particles form a good representation of the actual probability distribution.\n", "\n", "Now let's look at this with all the particles plotted. Seeing this happen interactively is much more instructive, but this format still gives us useful information. I plotted the original random distribution of points in a very pale green and large circles to help distinguish them from the subsequent iterations where the particles are plotted with black pixels. The number of particles makes it hard to see the details, so I limited the number of iterations to 8 so we can zoom in and look more closely." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "final position error, variance:\n", "\t [ -0.0187 -0.00526] [ 0.00515 0.0056]\n" ] }, { "data": { "image/png": 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8nZ1hdtTDDEWup5rEoM9r7cypPtZc2UL9mxsHN5R/e2kvOIlT8kmXJ5fBCVxH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\nlQNnI7OYicxgbW8Nw95h+Xefy4cCW0DAFcB4cFx1TacLlhPeWw92LtT1s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CYAAAGySURB\nVEx++jsyMdu3b4erqytWrFgBmUyG9vZ2qNVqdHd34+LFi7zjCVpQUBAUCgVycnKg0+ng4+OD5uZm\nZGdnIywsDGvXruUdURSuX7+O9+/f09nvKZKQkIDw8HAEBgbi0KFDkMlkaGxsxIkTJ+Du7o6QkJCJ\nTzalO5T/y+DgIDt48CBzdnZmZmZmbOnSpay8vFxfTzftzJkzhwH46fH69Wve8QTJz8/vl6+pHv9U\npoULFy4wX19fJpPJmEQiYXZ2dszPz49dvnyZdzTRokY8f+/EiRPM09OT2draMhMTE+bg4MAiIiLY\ngwcPeEcTheHhYZaUlMRcXFyYRCJhrq6uLCUlhX369Il3NNEIDAxk1tbWbGBggHcU0bh79y4LCgpi\nzs7OzNLSki1atIgdPnyY9fX1TWoeI8Zorx9CCCGEEEIMhVY5EEIIIYQQYkBUgBNCCCGEEGJAVIAT\nQgghhBBiQFSAE0IIIYQQYkBUgBNCCCGEEGJAVIATQgghhBBiQFSAE0IIIYQQYkBUgBNCCCGEEGJA\nVIATQgghhBBiQFSAE0IIIYQQYkBUgBNCCCGEEGJA/wAtmV17yymgowAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x20fb07b4240>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "seed(2)\n", "run_pf1(N=5000, iters=8, plot_particles=True, \n", " xlim=(0,8), ylim=(0,8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the plot it looks like there are only a few particles at the first two robot positions. This is not true; there are 5,000 particles, but due to resampling most are duplicates of each other. The reason for this is the Gaussian for the sensor is very narrow. This is called *sample impoverishment* and can lead to filter divergence. I'll address this in detail below. For now, looking at the second step at x=2 we can see that the particles have dispersed a bit. This dispersion is due to the motion model noise. All particles are projected forward according to the control input `u`, but noise is added to each particle proportional to the error in the control mechanism in the robot. By the third step the particles have dispersed enough to make a convincing cloud of particles around the robot. \n", "\n", "The shape of the particle cloud is an ellipse. This is not a coincidence. The sensors and robot control are both modeled as Gaussian, so the probability distribution of the system is also a Gaussian. The particle filter is a sampling of the probability distribution, so the cloud should be an ellipse.\n", "\n", "It is important to recognize that the particle filter algorithm *does not require* the sensors or system to be Gaussian or linear. Because we represent the probability distribution with a cloud of particles we can handle any probability distribution and strongly nonlinear problems. There can be discontinuities and hard limits in the probability model. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Effect of Sensor Errors on the Filter\n", "\n", "The first few iterations of the filter resulted in many duplicate particles. This happens because the model for the sensors is Gaussian, and we gave it a small standard deviation of $\\sigma=0.1$. This is counterintuitive at first. The Kalman filter performs better when the noise is smaller, yet the particle filter can perform worse.\n", "\n", "\n", "We can reason about why this is true. If $\\sigma=0.1$, the robot is at (1, 1) and a particle is at (2, 2) the particle is 14 standard deviations away from the robot. This gives it a near zero probability. It contributes nothing to the estimate of the mean, and it is extremely unlikely to survive after the resampling. If $\\sigma=1.4$ then the particle is only $1\\sigma$ away and thus it will contribute to the estimate of the mean. During resampling it is likely to be copied one or more times.\n", "\n", "This is *very important* to understand - a very accurate sensor can lead to poor performance of the filter because few of the particles will be a good sample of the probability distribution. There are a few fixes available to us. First, we can artificially increase the sensor noise standard deviation so the particle filter will accept more points as matching the robots probability distribution. This is non-optimal because some of those points will be a poor match. The real problem is that there aren't enough points being generated such that enough are near the robot. Increasing `N` usually fixes this problem. This decision is not cost free as increasing the number of particles significantly increase the computation time. Still, let's look at the result of using 100,000 particles." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "final position error, variance:\n", "\t [ -0.17 0.0845] [ 0.00548 0.00501]\n" ] }, { "data": { "image/png": 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2NU5Jlx5CoHUti3xBKhIfLT7COUeXOuqspnOdSOBG/HwvFy9p6gbVKkpTMkX5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bgBIm4YpzVVBC4uFjGIWQAofmACEFLstLHLoD3ty/SXLNifGcqjS68qPZSqnY/Hn4OHnpLYOo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qFdSZpgW25RZiWyhFs240w04qaSSZEP9QMA8B5IyygB6m0f8yASkcBPpAkdeqZuh8I0lzme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\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fiNeCJl7yennN1Drhgvk4aE4tjcijGTkxmle4vhmqdY375h7LZMmfqeQkWCnKTjrNiUci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tSa8He463RLgEWv73R770ya8s+0bYs8y8M1Wl2uHlqDfv7nfx737t3Du9/7bnzB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HrAtKNwY/pMmSlkRnScmVzVV1lSYQ9/09HhpO0JRUuC6vsS7X6UOPnZnR1CzHQ7a2Nd4t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\ndtHyWjR5mgezZJIe3LqJo/f7TJIAMpkkyEs6UIW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"text/plain": [ "<matplotlib.figure.Figure at 0x20fb0864e80>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "seed(2) \n", "run_pf1(N=100000, iters=8, plot_particles=True, \n", " xlim=(0,8), ylim=(0,8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many more particles at x=1, and we have a convincing cloud at x=2. Clearly the filter is performing better, but at the cost of large memory usage and long run times.\n", "\n", "Another approach is to be smarter about generating the initial particle cloud. Suppose we guess that the robot is near (0, 0). This is not exact, as the simulation actually places the robot at (1, 1), but it is close. If we create a normally distributed cloud near (0, 0) there is a much greater chance of the particles matching the robot's position.\n", "\n", "`run_pf1()` has an optional parameter `initial_x`. Use this to specify the initial position guess for the robot. The code then uses `create_gaussian_particles(mean, std, N)` to create particles distributed normally around the initial guess. We will use this in the next section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Filter Degeneracy From Inadequate Samples\n", "\n", "The filter as written is far from perfect. Here is how it performs with a different random seed." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "final position error, variance:\n", "\t [ -2.69 -31.5] [ 47.1 47.0]\n" ] }, { "data": { "image/png": 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uu/ksDqYHHM4PyckLdaJiVpgGghDIyYsgchbM2K5s8/rG63zr0bcEqed0iNMY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hB9WZaxogCg7JLzvfMAcIvGtmN3IHIUxhikASReIsPiQar7ozuP4p6Fe4h8xlOH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OcPTDR6Xw8KYKizawB6oIHNtj4macqT9VZtm+3Wd3vKvCg6KRKEuxJZFwxHOYusmDtQe5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AzIRwVpqG22xUQZj1wkF0zMi7Ei8915DEdMWRaLx3gojouL5VkMnSFIBFulVZlVGJagZdT6NZ6a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S+rHpdBr79+9Xc6KcA2dmZjA4OLgKLV8bWKRD9UAoFAJeSwrt6OhwUILSaGRZlmLwkqiE8B8J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\notEonn/+ede+559/Hi0tLaitrVXbAoHAmnVUFVVUUUUVVVRRRRV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BjUaD8PBwFBcXO7zh\nz1Lirm+tVqvL8bekpMSuvR/79s2bN8jPz0d0dDSWL18OjUYDvV6PmpqaJZ1wAe77dmxsDIqiIDY2\nFlqtFv7+/lizZg3Ky8vnTWJnP4cf+xsAbt68icTERPj7+yMyMhJlZWWw2WyLdJR/h6djwvDwMJYt\nW4bi4mKX7TFuv/F0vgV4z3jr9/1NiIiIiIjIh3ntNQZERERERLR4mBgQERERERETAyIiIiIiYmJA\nRERERETCxICIiIiIiISJARERERERCRMDIiIiIiISJgZERERERCRMDIiIiIiISJgYEBERERGRMDEg\nIiIiIiIR+R+YDiVrSrsNnwAAAABJRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x20fb0895518>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "seed(6) \n", "run_pf1(N=5000, plot_particles=True, ylim=(-20, 20))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the initial sample of points did not generate any points near the robot. The particle filter does not create new points during the resample operation, so it ends up duplicating points which are not a representative sample of the probability distribution. As mentioned earlier this is called *sample impoverishment*. The problem quickly spirals out of control. The particles are not a good match for the landscape measurement so they become dispersed in a highly nonlinear, curved distribution, and the particle filter diverges from reality. No particles are available near the robot, so it cannot ever converge.\n", "\n", "Let's make use of the `create_gaussian_particles()` method to try to generate more points near the robot. We can do this by using the `initial_x` parameter to specify a location to create the particles." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "final position error, variance:\n", "\t [ 0.0353 -0.0766] [ 0.00741 0.00933]\n" ] }, { "data": { "image/png": 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L9VtFmVpBRzAVxIBpAKIkIpAKlA1Eul2BZL8HtKQzoVBI/987dfLrm+F5vqu7\nyFalkzLlA2mxIO5rAN3PVcMIIbUdyAC/Wz+sezEr0Um6RCvt8jq9bfeBrMoIpUNIrCVafk6rfdRp\nX/bDZ6kNsrRL4764Dzkph6yUxVZqC4lsAuvJdZwaPIUhfgjpQhouk0sPvnm1s69R6eAukA7owb1+\nvyp3dC5yLIeHRx/Gy3dfhi/hg4EzgGM4zLhmYDfYcS14raMBV79VlKkVdGjrACy8BaFUqOpKQ7cq\nkOz3gPawCIfDVYtYQ6FQ1yvUlCo99sjFi8C9mXhJlrG0tFT22M06x3jqqae6uptsvw2eK/Vz1TBC\nSG0HLsBv9MMaTAUxbBnGVmqrpWBxL2YlOvnD3axda7E1hMVwW8GFrMq4FbsFhVUwKoy29JxW2qL1\nUSd92c0gaTefpV6d4t6l8Y34BgKpAPJKHibOBDNvxrh9HJlCBsFUEAwYTNgn9OA7LabhNrQ/E1j6\n3rRFdWX330sv6SSVS1EUDFoGMeWcqnpOp4PXfqsoUyuoYJn71bdktfr+brWRUhYOiZIgPRoO44GK\nwcaTTz6JU5EIxsfHuxrQV+q3wXOlfq4aRgip7cAF+PV+WE28CQtbC3CZXDg5eFK/vWHQuwezEp38\n4W72ulvJLUw4J9oKLgJiAAWlAJvB1vJzWmmLdn8nfdnNIGk3n2XpIIxjOEAFxu3jMPJGZKUs4tk4\nTJwJsVwMkXgEvrivbIOn5cxyRwF+6etWVqARJREem6dm+7Wgfi22hlvhW5BUCdOuaXhsHnAMB1/C\nh1vhW3hk7JGar7ubtR/9VFGmVlAxahvVB0vaAEnTzZlQSlkoLjL9+c9/DlVV4XA4yirWHBYvvfRS\nT68maPpt8Fyp368wEEKq9W2AryhKzVr49X5YA6kAOIZDKlde1aRRsNjqrEStoGfMNgYGDPwpP/JS\nHpFMBAAwbBkuy8/u5A93s3ZtZ7ZxavhUzfvqBReBTECvrdzqc1ppS6u1mXt9BaVssW+N3VbtRrve\n95UqB2GxXKyYey9lYeANsApW+JN+SIoEm8GGdD4NE2/SN3gqKIWW2tjodUtnnkVJhJE3lgX4peei\ndtUjkU+A53jYebveljPDZ2AVrMhK2aoc9FL9vvajFbWCDo/Vg2gmWqzL77p/7nR7JvSopyzMzc1h\nfn5e/3c8Hq+5ePU1FHeLZVgWJ0+cqLrfuQfB80HRT4PnSv1+hYEQUq1vA/zrwet4eOzhlmfdQ6kQ\nzLwZ6UK66r56wWIrsxK1gh5ZkfHqyqsAgLOjZ7GcXEZezgMAsnIWZ4bPVAVFtf5wy4qMlehK1Wzp\nmG0M/pS/bruGzENVtzfrI1UYwUFnAAAgAElEQVRVgQbFI+r1a6szN53M8HQzSNJe38SbqnZbzUgZ\nqFBxdetqzSC1chBm4kxI5BIYs49hyDKENzfehKRIMHAG5OQcbMbiD5yZN0OURMRync1clr5uIBlA\nIBmA1WCFx+bRZ+OB8v4rvepxJ3JHf49aW7Sg3iLcz0FvdcBz0NJOagUdHMthyjkFZ84Jp8GJZC7Z\nk5nQo56y0GoFmXEApwBAUYDFxar7WflwD4QOi36/wkAIqda3AX5GzrQ1667l25bOhJbdXyNYrBUg\nyKqM5Z1lJHIJSJKEX23+CipUTDunsZncRCgVQjAVRDwXh8vkwo3ADTAsowdapUFWs9SXerOlBtYA\ngRVqzpYYWAMAYGFroeaGTLIiI5gO4vLa5bJBg4rGuy7W69dWZ246meHpZpCkvf7yznJVcG/gDDjm\nOoaMVPuc0l5LG4TJioy1xBpyUg4cOL3vcnIOAifAZXLpz2PANBw4NaO9rtfpxdWtq8hImYb9V3rV\nozKtp3Rh6ahtFCs7K8W1Fy0OeA5a2km9oGPWNdvzoOOopyyMj4/j/fffh6LsbnOzykWth4GsyNhM\nb2IztQmWZZFYSxyK6kr9fIWBEFKtbwN8K29ta9adYzhkpAxGbaOopV4qTGmAkJfzWIouwWF04GFP\n8erBSqwYJP008lOM28ZhFazISBnYjXaIBRGXI5fxseMf049ZGmQ1CoqazZZO2ibBsmxZ4DJhm0BE\njOipS9pztQ2ZTg2ewtuBtyErMpK5pD5b60/6Ec/HYWWtcPLOqrY0Ckhanblp9LgJ+0TNvO5mVyra\nCZK011+JroABg3QhXbYJE8dysLGtBanTrmmoUJHIJnArcguhVAipfAom3gSP3aNfQdEGDwOGgZbb\n2az9zfq5dKBaazCrDXQ9Vg8CyUBbA56DmHayX0HHUU9ZKF1wynHcrgP9UuFwuO59va6uo6qNJ0Ka\n0TfNywRg4kzgeR4WwdK3aW6EkMOrbwN8oPVZdwCwGWyI5+LwWD1Vz2kWwGoBwkp0BQInlAWcsioj\nXUgjnS/+V7ogUuAE7Ig7eHPjTThMDrBgMWgZhJkrKXVYJyhqNlvqT/nx9PTTZYHLSnQFeSWP2YFZ\n3IrcKtvpMCNlcGXzCoKpIGYGZsry7RO5BLZz25A5GQbBUNU3zQKSVoOoWo/r9EpFszbVWww6bB7G\nicHqXF9tE6mV6ErTCktepxfBVBB30ncwZBnC6eHTEDihWGI0m0AoHYLdaC+m0lg9uLl9s2G/tKqV\nfi5ta+mCUv3+e2k9GTmDZ2afwdWtq/qAh2EYMGCQk3J4O/A2OIZDMBksW0DbrH39oB/qz1PKwn0f\n/ehHceXKFWQyma4c78EHH6x7324D8F7TJm7MvBmSJOm392uaGyHk8OrrAL+VWXfth/XR8UcREkPI\nyBnY2M5m1GoF3RzDISpG4TQ6sZPZgdvqBsuwUFQF/qQfBbWArJTFKF+8crAj7kCFivPqeXBM/aCp\nk9nS0vZV7nTIMRxWo6s44z5T9R7MvBk8y6OgFOAxeyAWxD0LSDq5UtGsTY0GDUvRJTxsLF+7UbqJ\nlFWwwm6064+vNavGsRyGLcNwmVxI5VIwC2bEs3EcHziOYcswsnIWHptHT8PymKsHlc10GqSWXsHS\nFpRmpIyeg++xefRzXitfemLwRFmqjkWw6MfbSm3pqToHIe2knxYCU8pCUelsfuXi26PmoKW5EUIO\nr74N8NNSGpOOyZr31fthnRmY2dWMWq2g2m1z43bkNgy8QZ+5HzQPYim6BLEgYsIxgayc1R+vQoVV\nsCKQCsBpcja8ctBIrfsrtzMv3ekQAK4FrtX9cTFyRkQzUUxYJ3Bu+lzD1+6mTq5UNNNo0OAwOrAc\nWy4rlaptIqVCLUvhajSrtpXa0o9ROkBgGVZPw3KanDDzZtgtdihS6ykKuwlSK69gnRk+g0A6gLXY\nGniOh9PgLDvnteMEUoGyVB2NRbDoqToHIe3koC0EPmouXbqEubk5+P1+LNZYVHvYHcQ0N0LI4dS3\nAb6Zaz+g2O2MWq2gymPzwMgbkZNyes7zsGUYC1sLEDgBXodX3/lUhQoDb8CEcwKrsVU8Pvl43ffQ\nyWxps0FBrTJ1pZottO2FRj9osipjI75RtSC42YCs0aDh2OAxXAtcQyKXQDKfRCgVwq3tW2DBwmP1\n4Kz7bNnjG23CpeFYTg+ktSsmOSmnB9I3IzehoPUAfzdBaq0rWAOmAXzw1Adr9pt2nmlVpkppa1ZK\n+6Df005ohrT/lc7or1ssQJdSdw6Cg5LmRgg5/Po2wD83eq6rfwxbSYmoFXRzTDH95+3A2zBxJn3x\n5umh07AIFgTSAcy6ZsGzPBiGgdPsREEqYMQ80tZMrKbRbGmzQcGpwVN6ukalnJzDkLFxec12+qpV\njaoe3YrcQiKbKKvpXzmLXastG/ENHB86XrWREVD8vGZds4jn4tiIb0DgBDAqgzHHWLG05M4dnBk+\nU/bcWoOQWqU0S6+YiAWx40Byt0FqOwNZ7TzTavdrtMW22poVrQ+6kXbSyxx5miE9WLwXLgB+P6SS\ncpillXM2mzzfZDLhQx/6EF566aUetbC7tL/RtfRLmhsh5Gjo2wC/1iZXnWo1JaJe0O00OYul91xe\nOI3FKjTqvf8btg1XBYxAMQBsFMx0skiv2aDg147/GubX5quC/IyUgaIqeMD5QNf6qvTxjYK5eoOS\nQCqAeDaOGddM2e0mzoTl6DJWoisYtgzj/Z334TQ5ccx1DJxQDPhvb9/GjfANTDmmILCCvqOs9hns\nZHYwZh/DlGMKQLHaTK0ypqWfRSW9rj5nQiAdQDAV1MuS2o12fHjsw037slEf7+b+dpRWFyqtrFRa\nXUh7XGUbOgnSe50jTzOkB8y92fzSH5rTKObqX7lypbhoNputehrDMAdyd1ztb3RGykCAoN/eT2lu\nhJCjoW8D/G5qNSWiXtA945rBR6Y+gs3kpn67w+gAgOLzKoL7Vmdq2p0tbTYoAICd7A7W4mtI5VJl\nmxqddp7GhLX2rqad9BXQWjBXb1CyGluF0+gsq3pUmuvOgIFZMINlWCRzSdyK3MKpwVNY3FmEkTNC\nLIjFcqWW8l1cM1JGb6+mtNpMaRlToP5n5XV6EUgFsBBYAMdwZQOEeDaOiBjRz5l27XWQyrEcHpt4\nrOWUsN0E6d3OkZfVYk3xbWkb0ZUogukgVKjFAR/b2ffuqAuHw3C73WW3hUKhnpagrKSl8fRDW7pJ\n+xsdWYsU6+CrLMSC2FdpboSQo+FIBPiNUiLMvBlvbr5ZNVP55NSTVX+MS4NxLQhqtjFRtzUbFDw2\n8Rg8Nk/V+4lK0ZYWgraTPqIFcybepG8Cpg0qbAYbhkxDOD50vOagZMQ8guODx8v6WFsMq+1IXJo3\nnpEyuBkulqOcdEyioBSwldyC2+LWK8gs7yzj2OAxDJuHy9pdWW2mIBewmdzEamwVAiNAVYprEyrr\n+rstbgyYBpDMJfXULG2X2UabZlXOfgPQKy8BQDAdBLC7wWG72kkJ202QXu/8kRUZ8WwcPw78GA+5\nH2rpioCsyLgVuwUxJ8JmssFutMNisODtrbexEFjAhzwf0p9LM6SHR70dvg9KgMyxHCasE3Ab3BAE\nYU+LGhwFlYP+g3Z+ELJXDlyA30nqQL2UBy0PPJaJ4fjgcf32VmYq+7UOdr0BQGI90dJC0HbSRzYS\nGzDxpqqdUgEgmU/i1dVXMTMwU7NNl9cuAwA2k5t6+sv7O+9jzD4GA2cAx3D6pk1AcSD2TvAdnB0t\nLpKddc3CF/chK2X1QQXDMDg/dh5v+N7Q26ql10iKhFg2BkVREMlEIKsyZlwzeppKrc/cn/LXrKkP\nNF6cWzr7rV2VSOQScJgcODN8BrPCLN4OvI2FrQV8aOxDepDfyyC1nfN1N2sEap0/pVdmBE5oWqZU\nsx5fR07Ola0d4BgOj4w9guWdZazEVjBqHS3+DbAVd2t+w/fGgQwKyX3Xg9dhdpr3vQwq6T+1Bv0A\nnR+E1NL3AX5pQJ+X81jcXkRBLsDIGQGmODO6mdxEIBXAYxOP1a2dX4tWOrC0LjjQejrBQauDLaty\ncbOmtUTdIKid9BFZkeuWXzTzZmxntuv24ZhtDK+uvFqWHy+wxY3DwmIYF8YvICJGyp4jqfc3jmEZ\nFqO2UTwy9oh+WzKX1N/TamwV6/F1/YoAANgNdtzduYth83DVuVL5mctKscJPupDWBxCVuf61gtnK\n2W/tqsSAaaAs//8RzyNYji1jNboKt9W9J4PDVs/X3awRqNX20iszWel+vnWz79lGYqNqwyCgGOSf\nHDoJsSDi6emn+6o2/n5xuVwQRRGKouD48eMYHx8vq2ZzkOSkHIaF8qtwVAaVALUH/QCdH4TU0vZK\n1mQyiT/7sz/Dr/3ar2FkZAQMw+D555+v+diFhQV87GMfg81mg8vlwmc/+1ksLy+3/FraD7cv4YNF\nsCCRS8AX98GX8CGQDsDEm2DmzUjmkrgevI6V6ErN44zZxnB35y4Wthbwlv8tLGwtFAcFyQAAlNVG\n12gzlYeFrBZnPgKZACyCpZjucG8L9atbV/WgbdIxiXQhXfMYqUKqbG8CjuVqll/UWARL3T5kUCzp\nWVq6k2VY/d8MGLhtbj2nHkBZOosoiXDbynN3tSDO6/QinosjnouXtU2URBSUAoasQwikA1Vt0j5z\n7byLZCIw8SZYBStMvAnBVBC3Irf0Kwu1gsbK2e/SnWa1/H/tuScHT2LMPoaLsxf1vQD6IRDdzRqB\n0vNHVmRsJjdxee0yVmIruB68DhVq2ZWZRt+zVgcajVKKtFSqw2xubg7xeByFQgGyLGNxcRHz8/PF\nnYsZBq8xDO7c+2/NbMbA44/jNqD/9+o+t79S5YSL5rD9TSbt0wb9tdD5QUi5tmfwt7e38d3vfhfn\nzp3Dpz/9aXzve9+r+bjbt2/j4sWLePjhh/H9738f2WwWzz33HJ5++mlcu3atpUVUlT/ct8O3wTIs\nHEYHclIO25ltPQc7I2VwdesqTgyVp1TIioyIGEE8GwfDMPqxgqkgbodv44OeD5Yt9Kx8bqvaTR3q\nZSnBWgJiAAWlAJvBVnZ75cxHO7nak45JLPgXqmZTgPs11uv1oT/lxyNjj5TtxmsVrAADjDvGERbD\nOOs5i2g2ClESwYDBqaFiGVAVKoy8ER7b/c+tNHedYzm4jC6wLrZsXYDH5oGsyLAJtrKFtqW0zyUr\nZTHtmi4L0LVc/0abmFW+Xy3vXr9fLb9/L8s6tnrO7WZHW+38iefi8MV9xbQcVgADBjajDYqq4Fbk\nVlnlqXp90OpAoxu18ff6+9hNfr+/4f0TKFauAVCsWLO8fP/f+2xkZKRYSeee+ZV5Pe2iFiqDerRR\nmVxCWtd2gD89PY1oNAqGYRCJROoG+M899xyMRiN+9KMfweEoVpw5f/48Tp48iW9961v45je/2fS1\nKn+4I9kIXEYXAMDIGxEVo3BbirO4Zt6MYCpYdYz1+DrySr4qmOQYDg6TAwOmgYZ59q3opLTkXqcU\nBDKBmoE4UB4EtZOr7XV6YRbMNctyajXWc3Ku5mvKily1G6+eqy3loagKOKa4wdTyzjISuQRmnDNY\nja/CYXTg2OCxqtz1CfuEvjjv2tY1WI3WqnKQ2gx6ZaCt4VhOP+9MnKlscS5QnIVvtIlZ5eembY6m\n31+xqLadz3k3QWg759xudrTVzp/X119HIpeAgTNAUiR47B4MWYbAgasqVVqv7ZOOSdyV7paVGyxt\nizbQ2O2P/kFP8RkfH9/1rrFutxtPPvlkzXrze1nRhsqgkkbo/CCkdW0H+M12SwUASZLwox/9CJ//\n/Of14B4oDg7m5ubw4osvthTgV/4wM2r5a8sov7/WTq2lg4TSYBIA3DY31mPrmHJOVT2vnWom7VYd\n6XYpwVaoqgowxRnlyoo3bpu7fHOvFnO1OZbDM7PP4K2tt8rKcmpBdUbOlAVhpcHpzdBNeF3espx2\njr2/Y+x6bF3Pqb8weUEPYmsGubZJSIqE/33tfyNTyMBqsCIjZzDADxRLaGaKJTQ5tvheg6lgVeAN\n3P/M12JrVe0p7a9Gm5hVzn6XlugUJbHuVYdmdhuEtnPO7XYBOccWFzw/OfUkAGDMPoZgKggOxeeV\nlipt1AdepxdGzoh0Lg07f39Wt3Kgsdsf/f34Pnai3gDvlVdfgdFghCzvbvbyjTfeqCpZCaBshr3X\ndnP1iBx+rQ76CSE9WmS7tLSETCaDs2fPVt139uxZ/Od//iey2SxMptozygDwypuvYD25XvaHPhfP\nYX1nHQJb/HIXlALWMsVgLCfnYONsuH79etlxFsOLdXM6FVXBVnQL11PXy2ag04U0koUk7gp3waCY\nx+oxe+CxeGrunno1crVuXiAALEvLSAwnOn58NyiKAoVVsBRdghJXiouU71mX16GqKgYSAzXfXyOy\nKkOOyWBlFla++FmlU2nclG7CyBlhd9kRXYviVuwWcnJOf99yRsYbm2/AJtgwa5/Vy0hGshFsiVtw\nGVxYTi3DY/YgGo0iwZT3hwMO/fXfWH4DN3duIpAJgGd5sAxbXJDNLOK44zjySh6xQAzDpmGEMiEs\nRBZg5szwbfgwZBzCsGkYOTmnt3d5e7nq87Hi/nmYkTK4eeOm/u9CoaD//+haFL6YT3+viqogkAwg\nVUjBLthhtVuxGFhERsror5dYb/5Zb6Y3EcgEap43GSmDyFqk4T4HnZ5zWj8DQCKWwE3crHpMLaXf\nO60PCkpBP++yUhZsjG3aByesJxBgAgjlQrj23rXi4mrzKOwWO25Gim1JppO4m7lbt288Zg+ux65X\n3afZj+9ju7Q1NKXfIQC4K92FkTPiV2/9Cv/j//kfeOutt7r+2pV/U3tJVuWy74+m3e/Lfiv9m7CX\n/XfYyaoMVmGRUTIww4zFu8UrVwft/OhXdN52H8uy8Hr3Z+DZkwB/e3sbADA4OFh13+DgIFRVRTQa\nxdjYWN1jBFIBRDNRyJKsBwrTlmm8G30XMiMDDOAUnJBlGTkpB1mVcdJ5Uj9BNYqiVFXhKDVlmcIQ\nP4RQrjhDy4BBIp+AXbDDyNwPgjeTmwilQzjjqt61Ni/lq2YUtGA1mi/mkEuyBLfRDY/FU/b40sdp\nM8Rm1owPOD7QdrDdiNvoxruxdyEpEgysoWy2T5ZlWDgLfHFfS5thVTphPYGAGND7kGM4/b0qkoLN\n9CbEnAgTb9I/CxfvQpSNIpaNIcAEMGwaxkpqBelCGlbeijHTGFiwZf0OoOp1ZFnGamoV/qxfH2AA\nAKuyCGfCMDJGjFvHEUqHEM1EkZJSOGY7BptgQzwfhy/hQzAVxKPDj2LcOg5FUornQzZUf22BabTq\nPNMoklLVH26DG6PCKFRGLV6VqOifVsqXbqY2YeJMNc9lAQI2U5twG6pnXzW1ztFSOSlX9z11ovJ7\n5zV7EclFEM1FoagKJEXCED/UtA84plhTvPK8LH3OkDCEUDqEZDZZnSrGGjAkDDV8b3vdN52o9R0C\nip99OpeGL+7Dd77zHQDAhQsXoCjNz6lW7fV7b/b3pJXvSz/Z73PnsDnjOnP//JAO/vnRr+i87Q6O\n27+0sZ6WyWyUztMs1cdqtMKlupAqpCBAgJk3Y8w2BlERsZne1BdlyijuKjtmHcO0a7oqKJ6wTTSc\n+fTavZiwTmAGMwDqz5TaeBsyUgbbhe2qYMPAG8Dz97tSURWsJdeQV/IwG8xgORY2ow3b0jZS6RR4\njgfP81WP0yTzSbyffr/mYKIdsiojIAYQyASQK+TwXvw9OAQHxgxjeopKTs7BJJgwY5/BjrSDGWGm\n7dcRIGDGMKP3YaVtaRs2k63q9pOuk4hkI8UFwCggp+QwaZ/EsGlYb5/W76F8CIlConilxnj/WD/z\n/wwFtQCBFcCy99NuzAYzRrlRZJUsZMgI5UIYMg1hyj6lH38SxYpAGSkDo8EIk6EY0E85p5BSUzVn\nEa1GK6acU2WfS+kfQkEQmvZHLaWflaqqVVeNWJYtO8cqsSoLQagfpFaeo1X3w9Dw+e2q9b0bF8Yx\nbhvXZ9VbGUxW9m0tAgScHTmLgBhAMFPcU4FlWEzaJ+tedSu1133TiXrfIQCw8/ay7+7CwgI205v4\nxEc+0ZXX3uv33sn3p9+0ct6Sas3+DgIACtAH/dS33UXnbfeVxiV7rScB/tDQEID7M/mldnZ2wDAM\nXC5Xw2McO3YMM5hBKpeC1+XV804nMFEsp6iqUKE2XWj4kPJQwx1nK3OXE2sJjArVZTM1YkGs2pnQ\nEXWU5Y1uJjcxah/Vq/uM2kb13P9UIVVcS8AAsWxMf5wmI2XwQdsH4TQ5MeAY6Dj3V8vZtkk2nBPO\nYfHuIiatk0jLaWTNWUw6JyGwQrG2+71FqMlcEudmu7/rYnQl2rAyhpZrXy+VCgCWdpYwZZ+qys19\nK/cWzJy52Jc1yp3Gc3H85kO/iV/4foEnpp6oe/zKz/Wccq4s31lL1VJUBQkkys67mzduolAoFHet\nPNd+/1V+Vpp0IQ2Jl3Bu7BwSvkTD/knmknC4HHUX4Faeo6W03NVu5pm3+72r5/r167vq21bU6htZ\nLe7xsBpbxYh5BAlnYl+r6rTyHSr97j6kPISfXv8p0vk0DE/9DpDrbDYuFArt6SLbw2IvztvDppW/\ngxzLUd/2EPVt9ymKgmQyuS+v3ZMA//jx4zCbzbhx40bVfTdu3MCJEyca5t+XUqHuajOpdhcMli7s\n1X7kSxdYaruTVlaTKa06otWGL60mo7EJNiRzSViEYjWWQdP9NKbSx2vVXFp935UL8ILpIFSoOOY6\npj+GZ3h4LB64B9xlg47SvuqFVhZBNqt0spXaKtttWKOqKtJSGpvJTcSzcRh5I+wmO1wmF1iwgFoM\nKofMQw2PX/n6pQuNSxe42g33gyxtgSuv7u5r1Moiz0aLDxO5BOK5ONgEW3cB7m4q4wDtV/Dp152e\na6nsG22H63g2DqfRieODx+vudtyqcDhctYC1neC53YXEHMth7gNzePnuyxAenEYskgDAgGc5qArg\nX79fWnOzwXEpuCd75aAsdifkoOhJgM/zPD71qU/hhz/8If72b/8WdnsxKFpfX8elS5fwxS9+seVj\ndSMQaGfHWe31tB/5bCGLdD6NncwOFFVBupCG2WDGsyeeBcdy93fZlfKIZCJgwCCajUKSJYABXCYX\nrgevV5VrPD92HkvbS2U7pVY+ptWavnkpj5fffxm+uA8GzgCWYRFJRzBoGdRrjgPAgGEAcTkOI2fE\nu8F3EUzdT2ewG+348NiHO+neplqpjNHJBiWyKiNXyCGRT8BpdMLIGyEpEhLZBMSCiCHzEKwGazG9\ny15/vQfQ+Dxr9sOTFtMN89+baaWO+5NTT9YN0OPZOJwmZ9Mfxk4D7k4r+PTLTs/NBieVg5GN+AaS\n2SRmXDNl38f9DDQ6qS6zmdzEoGUQwf/4/1BaQDi6HcXHz3687LFPPvkkIpHIgd4Blxxs3djPghBy\nX0cB/k9+8hOk02n9ssN7772HH/zgBwCAZ599FhaLBV//+tfx6KOP4pOf/CS+8pWv6BtdDQ8P40tf\n+lJLr7MfZa+0H9JYNoZsIYtAKoCCXICRNyIn5TDtmsZ6fB0/uvMjjDnGUFAKsApWWAQLXGYXErkE\nFrYWMDswW7WjaWm5Ro7lMOmcbJh20crgRlZkvHz3ZfgSPgyYBvTbtzPbyCt5eGwefdfWYdMw0mIa\ntyK3UJALenlQURIRz8YRESM92U211dnjWgGMrMpY3llGNBPFW/63ilVU7g2EAukAPDYPQsEQ4rk4\nxu3jSBfSYMAUd0yVZfz3s/9dD94aBUiTtkm9hn5lENjsh2c5s7yrAL/sqpEiI5AOlA2+bIINmELN\nAH3SNgl/wo/ITqSs7KlWfrRyj4NOAu6DPLPW6uCktG8ur13GqeFTNY+3X4FGJ1dgGp23lV566SWa\nrSf7ijaxIqS7Ogrwv/CFL2BtbU3/9wsvvIAXXngBALCysoKZmRk88MADmJ+fx5e//GV87nOfA8/z\neOaZZ/Ctb32rpR+StJRuKXWg27Qf0tXYKiRZKgvuBU7AkHkIHMPhndA7yKt5nBw8Wfb8ZD4JI2/E\nTman7MdVS9lZji3jwsQFAN2p+awFrqXBvfZ6BbmAdD6NUCoEK6zFmXrBDsEoIJqJIl1I6zu8emwe\nZKRMT4K1VtI1agUwsipjYWsBDBic85xDRIzoG5pFM1FkChlIqgSBFTBqGwXP8rAZbZBlGVaDFQ+O\nPIinp5+ue3ytn42sESExpA/WNFoQmJfzDQdilbvVNlNvT4ARywgWtxeRl/Nl6zIimQiubl3F+bHz\nZQG6FryG0qGyFKRgKohoNqrvFrvbH8ZOZtb6ZWfYTgYnex1otNJXnaQ8UUBEDhLaxIqQ7uoowF9d\nXW3pcefPn8crr7zSyUtg0j5ZrFayx19q7Yd0aXsJbwfeBs/xyEt5DFoG9eAeAFL5FFK5VNlzZVXG\nu6FiKcp3Q+9iJ7ODMfuYvoOnChWJXEIftOw2LxooBl8GzlB1+4BlADviTnGgYbgf3ETzUUxaJvGg\n+8GqHPxezk42mz2uFcCE0iG4TK7iOgIGSOQTECURFt6CjJTB3e27YFkWJ4dPwm6wI5aN6bPeFsFS\ntktxowBJVmT4U/66QWBEjMBlqr8ovJXN3zS1ZpS9ruLmWovbi7Ab7GXtECUR067pmoMvLXitHHxo\nm2ppu8Xu9jvUbsDbTzvDdjI4aSfQmJubg9/vx/j4OADg5z//eVmJSo7jID39NAZ8PtyuOM7AE09A\n5Vikh+zw/b//0LSv2r0CQwEROUhokzNCuqunZTJ3w+v07lt5IS19JpFPNLzELavlC3JvRW5hW9yG\n0+TElHMKI9YRBJIBhMUwZp2z8Ng9sArWXc3KVbVBuVcPHjK2xW1Exai+w28mnwHDMmW7tmalLIy8\nsWxH1crj9UKrs5SlAQZEm2oAACAASURBVMzltctlweuZ4TP6omdJlvBe5D0cHzgOnuURy8aqBmHR\nbLTs9VeiK7i6dRWBVDFlyWPzYNw2jo3ERt0KJdrAK11I1/3h8Zhr92UtK9EVLEeXiylR6QhiuRgc\nBgfEvAh/2o8Puj+ov44oifpnxTHVi6614LV0t1yNtlus0+Tc9Q9juzNrrcyae53ejmf427k60Mls\nfDuBht/vx+LiInw+HzKZTPXxZRl35udxGsDpyjuXlgAA/Gx1dahupD81eh+E9JtuTHgRQu7r2wBf\nSz3p5PK+FgCsxdawldzCdmYbQ+YhjNmLtfJbOc6kYxLXAtdq/jiKkoghy1BZ4BxIBZCX8vrmSBzD\nwW1xw21xQ5REeGweTNgnIBbEsmPtdiEix3IYsYzgiv8KWLAw8say+0OpEOyCHelCGoqiYNg4rKdu\n1Dtet2XyGfyfd/4P3gu/V8x3ZjicGjqFnJRDWAzj4dGHsZncrArYKlNjOIbDhH0CHpsHtyK3MGIZ\ngcvk0t/zjriDZK64ODIn5/S0FVmR8avNX+Gd4DtgGVa/PZFL4JWVV1BQCnhs/LG6733YPAwTb6r7\nw2O32KFIzdN0ZEXGayuvQYWqr+1wGB3ISTkYBAN4lsf1wHVYp6wQOEFPndI+q1oz5QDgsXqKKUtS\npnxH5nx30tzanVlrNmu+HltHWAx3NMPf7tWBTi77txNoaDP3Pp+v4es04lvx4alTT+F/vfS/MGwd\nhtvqxvDw8K6vqNV7H4JDwJWNK+DDPBRJgSAIlH9P9t1BqrxFyEHQtwH+/136v1Ch6osqJUVq6fK+\nFgCk82msJ9aRl/JwmYqLXzdTm7gevA4Db8CZoTMNg32v04sp5xTW4+sYNA3qM+SbiU2IeRFiQYTT\n6ISiKhizjyGQDBQX2ppcuLN9BwbOgPci74EFi0HLILaSW12ZTa006ZjERrx2BZq8nMeMawYfnvgw\n0moahUIBoXyoKjiqrPl9ee1y1/Kl81Ie//Srf8JmYhPD1mH99sXtRWwkNvDE5BN4+e7LGLQMVgVs\n7++8j0fGHqkajGiDqRHbCAReQFbKwsSb9LUSm8lNTDgm9Mo56/F1rMXXwDJsWQCspbJE0hEE0oGq\nlCWNgTc0/OG5GbnZdPdEWZHx+vrruBG8AVmVkcwnMWIZgcAJervNvBkDpgFMOCdqtkUrJ6q143rw\nOiyCBaO2UZwaPIVwJlxW0tVj93QlHabdmbVms+b+pB8TzomOZq3rXR0wcSYsR5exEl3BqHVUHySO\n28axmdps63xvJ9DQKs7Mzc1hfn6+4ftuJJvO4n9+/H/q/76ycWXX6yeavY9WztvDoF/Wg5Dm+qXy\nFiGHQd8G+C6jC3klD+DeokEuqgfcjb78WgCQzCeRl4qLFWW1WJkkmU9i3DYOjuGQyCcazhhyLIdn\nTzyLl+++jLXYWnG3VakAWZGLQZV1FDklh9X4KoBi6sXp4dP6oswRy4geTO6IO/DlfTg3eg5ep7er\nPzhepxf/ufSf8Dq8ECVRT9EpyAV4bB58ZPIj2EptwapasZneRLgQRiFYQEEtYMY1A7fFjTs7dxrW\n/Nb6tbQcKAAMW4Zh4AwN2/7LjV9WBfcA4DA6EM/FsbC1ALvRrlf00VgFK5wmJ1aiKzgxeKLsvlAq\nBAB4YOgBvXSp9r45cGDBwuvwYto1DaA4o5zMJWvuZmzhLTDyRqzH1msG1doM9W5+eLRB5/XgdThM\nDtyN3EVOySGSjoDneBwbOIZBc3E/BJZhEUqFqtqiVfopnb2eHZjFVnIL74beRTKXxJRzCjzLY8w+\nBpvBhllXdyoitTuz1uw1tzPbHVepqXV1QFaK6XF5OQ8GjH6++BI+CKwAA2tou8Z9u5/3pUuX4HK5\nEI/HW3p8M91aP3HUA6Z+Wg9CCCF7qW8D/FJaBZpUPtW0YsfC1gKsghVhMYxxe/Hy+XZmGwW5AKfR\niZ3MDtxWtx5ENZoxNPAGfOr0p/D6+ut4J/gO4tk44rk4PHaPnuaxEd/A0vYS3o++j9XYKuxGOx4c\neRAcwyGajeqLPh0mB4YtxSC31R+cRgMB4H7QncqlkJWzYBkW447xqh1qxYyI9dg6xJwIm8mG4+PH\nEUgHsB5bxzuBd2A32jE7MFuz5vdqdBXb2e3iLPm9WdJsIYvt7DauB69jyjGFa4FrmHJM4dmTz8LA\nly/4fSf4DqzG2ukaTqMTN4I3cHH24v3PsmRzsYJSwPLOMlRVxbHBY/pMfjKXhAwZNsGG1dgqZFUu\nW8y8LW7DarDq/SQrsl7ppnKtAgcORt4IlmF7lvupDTp5hi8ORnJROI1OCAYBBaWAreQWslIWZsEM\nt82NdD5d9nytHSrUsvPGbXFjwb+AdCENI2dEppCB2+rGamwVDoMDT009tat2l2onUGyW0tPupmPN\n7gukA3rloXThft9p5/CErRgo97rGfSwWa2vBdSOf+cBn8Nrya7SwcJcOcolXQgjZjQMR4APFID+U\nCsFhcJTdXjlDY+JNMPEmbIvbeorKjrij52nrgd69BbLNZgw5lgPDMHhi6gksbC3os8JAMViUUNzQ\n6qnpp/DmxpvwOr1I5BIQOAGnhk6BZVg9B38rtQWO5er+4CRyCby+/joYhkFeymMpugSnyVmsYX4v\nuPUlfAikAlAUBRvJ4sy0P+WHiTcVN3XizPiA+wNls1KRTAQ5OXd/fQBbzGWfsE/gdd/rmHHN1Jy9\ntgk2XN26qi8OXo+vYyO2gaXYEgpyAWCKM86nBk9hPbGOl99/GZ869amy15ZkCRzqz5BJqnQ/x/ze\n7Kp25cUEE44NFivoXAtcKy6oZXiIBRHD1mFYBSs+MPIBRMQIAskAQukQjg0cq0pN4VgOLMNChozV\n2CoKUqFsrUI8F8eQZahYUz7l73rupzbrHMvFYBEsMAtm5JU8DKwBAisgJ+cgFkRwDIePTH0E6/F1\niAWxqh1v+N4oO29CYghj9jH9CoY/5YfD6MCMawZ2gx2byc19CV6apfTsZtMxoLiBU+k+AeF0GJOO\nyeJzK9K5bIINW6ktPD39dN/WuK9FURR8/pnPY9Y7i/lL8/vdnAOLNk8ihBxVBybAB4oBYLOKHdrC\nV60O/HZmuyzPVLu/NBCotXixdOb8evA6ZgdmIalS2eO2xW0UpAJ4jseAaQBpKY3F7UUIbHFmtiAX\nMOmchFkww2PzQMyLWIutIZFPYDGyWLYxkdvixnpiHclsEk9MPYFoNgqGYZDIJfTdaDmGg1Ww4k7k\nDlZiK3Bb3TDzZow7xrEj7iCdT+NO7g5cZpee8pIqpPT+kKTy9gOAkTPqVzNKZ8+1tq0n1jEzMANZ\nkfHm5puI5+JgGAY2YzFwW4+tQ2AFzLpm4Yv7qiqkLMWWoKoqVKhwW916/yuqgng2jlAqhGAqiLe3\n3oYKFYqqlP0g8yyPk4MnyxZzHk8fRzKX1D9Pt9UNt7W4mNlhcOCxiceA/5+9N4uR606zO393j+XG\nkhGRkRtzY1KkWGSJ2lWtUjXaLjfQcLcBA2P3o/1iYB7GbwPDb8a8GmhgAMMG5mVsYGDDsNvwMtNd\n7a6uraGWWiqJFKmNYpLMfYnM2Le7xV3m4fLejMiFoqgtVR2HDyQjI27EXSLv+b7/+c6BOLhqp73D\nTmcHY2CgSMqIVMd2bSYSE0wkJxBFkR8t/uisy++pMXx9iYhcnLjIbmeXgTfAw8P3fLJalrnMHI7v\n8Orcq6eSjuPX6WHvkLSSJq2kKafK9Ad9Xph5If75t0VePk/S80VCx1arq/i+z5w+x1X3Ki2rdSL3\noWE2GPgDpvSpeNUOjkLD1pvr8WfYae/EspzT4HjOmYFnT1LoHR4ennisUX66ELStta24KB/j6TAO\nTxpjjDH+puI7RfBtz+ZC9sKpkpwovTOyDIx84JtGE5GQVNquTSFZiDvqEYZv3KdpNlNKioPeAdvt\nba6UrsQd6abRRJO12KM8KScppUt0rS6yJPOw8ZB8Ms+NqRtxQXG3fhdZkEdI5kHvgHvVezi+Q9Ns\nokgKDxsPKafLCIJApV5hp7XDlD5FWS+z0dygbbdZzIWrCcVUMZ45kASJz2qfMZ+bjzumpVSJw/pJ\n4gFAAAf9A97fe5+N9sbI3ELbavPx4cdU+1Vm9VmqRhU3cElIR6RDkiQG3oCaUSOtpk84pDw39Rz3\naveoW3U2Whss5ZeAcNCy2q9ybeoapXToUnPn4A66qrOUX0ISJEzXZEqfAo66bQAX8xe5W7t7wjVG\nICyI5jJzI+dwpbCC5Vn8z/v/k5SaYim/hCiI2K6NF3jM6rNczF/8WjMAAPKJcK4kSZJCsoDru6iS\nSs/pUdbDYu1xkqATFpDBKDkZdnWCb5e8PE7S80VCx1JKCtd1qZgVfvLgJ2TVLNlENs5DAEjICbpO\nl7STjr/XkS6/Xqvzv//uaHL2v/r5v+K1y6+dejwfNB6gSMpT67VPc6OZ/J3fwd3e5uEjW8zj2D3l\nMUEQeOaZZ2KXnjGeDuPwpDHGGONvKs4twTddc+SXb92qs5hbPEHeIklOlN55uXCZptkkpaToyl26\nVpfZ7Cx73T0yaoaUmhrxgY80usPd3ppZYzG/SEJKIIlSXDSklTR7nT3ms2F33A1cGr0GHbuD4zlo\noobjOszn5hEFEdM1yWk5qkaVXCKHKIi4nksmMeq5rsoqdw7ukEvkmEhMhF75gsQn1U9AgKX8UuwU\nc9A74OPax+TVPPdq92IdeT6RBxlaVit0+hkYLGQXmMvM8d8++2/cbd1l4A5QZIV09xERCsLk3cP+\nIUk1iYBAz+lx2DukN+iRVsLndexOmOzru/ScHpOpSTJaBl3VYw17w2yQ0TInHFKul6+z092J9ePV\nfhUfn1q/xoXsBf7B1X/Aensd0zVRJCVedcmoGVRJZTp9VIhFhFVSpNATvz+62jClT5GW0+x2d0cK\nNEmUuDZ5jZ32DtudbXY6O+S0HKVUiWdLzzKbmQ0dagbeUw9Ae0EYzNXZ7Jx4XaRJV0SFpfwSdaOO\niEjTbNI0m8xmZ5nRZ8hpuRMkcvjzDF+bw/aZ0fclKoaiz3PQP+DNzTfPnXPI04SOJeUkW+0tlvJL\nI3kIXhCmFqdJk9Wy8TGJdPkBwYn37zrdU12T1hpr5BK5r16v/ctf0qxWefZYJ//SjUt0m10K5QKp\nzzYxeqGFrizL/PCNH46lOV8BxuFJY4wxxt9UnFuCP5maDPXQgYft2SxmF/m7l/7uCfI2LMkxXIOq\nUY3JnyiIeL6HLMjklByZRIbZzGxMjnqDHqqoUjNqOL5DWknTH/SZSEyEBYPZ5GrpauwzXkqV2Gpt\nYbomqqSy2d7EcR3aVhtN1kikExz0D+g5PS5OXARCMvHx2sc8O/ksjhv6uved/ki6bN2ox93nlYkV\nINSF95we/UGfntVDUzQmUhNMaBNU+1VM12Qme6RlblpNFFnhUukSLbPFjxZ/FK9GRCQnKSeRJImD\n3gF1s47jOmy2N3F9l1/v/JqkmoQgnC3oOT0SUoKpzBQbzQ0O+4dMJCZoW20836Nu1tFkjeuT14Ew\nQGtKn2KrtTWicVYlld9b+T0+PvyY+/X7mAMTVVT5vWd+j++Xv48iKfH5ul+/jyzKVLoVLi1eGhmC\nBE78O5ojGIYxME7V3UqixExmhuWJZSzXGpGyDONpHDe8wONu6y6+6DOlTJ143fNTz1M1quiqTtfp\nxvkI0XV0tXQV0zNjt554u8dWk1YKKzg1h43WBk2ryWRqkkPjMD7OUTHkBR639m+RT+RHcgQ2Whvc\nqdyJU3m/TdJ/Vof/zc03z9RMD8vJhs99NLvRMlvxcw96BwQEp6Y8H/YPubV3i+nLR0VSb9CjY3d4\nfvr5U9/769Br/+v/519ja3ZcqPzR//pH2E2bi4sXzz25/65YT47Dk84XvivXzRhj/Cbg3BL8qlFl\neWIZWZARBAE/8Hlz803e3HoTTdbIJ/LIYvjxI8IcpXdGN/9cIsfvXvxdlieWR36xGI4Rdwx93x/x\nyR74Azr9Dg2zgeVa7HX3uFa+FvuMmwMTXdH5rP4ZnushizL5RJ5CqoAoiKEbi9Vjs72JJob+5rIo\nIyKy2d5EEAQG7oBnS8+S1cKB4abRjAdWS6kSfuBz2D/EGBiklBQDf0BOytEwGmy1Q8274I+6dWiy\nhuVa7LZ3WSmERUI0n3Axf5H74n2sgUVKSqFJGndrd9nv7rNcWOaCfoFfbvySjw8+RhZkgiBgSp9C\nkzUkJIIg7L4brkEukaNn90goibgjn1bTqJKKruqnOqSoksqLMy/y4syLtMwWh/1wheDOwZ0452A6\nPc0bi2/Ew5On2URG3bbP68httjZPvabKejne/mmvFQXxqRw3KkaFgT9AV/VTX7fb3eWlmZcoJor8\nfOPn1M16nEA7nZ7G9MxTycbx+RJJPFq52GxtIgkSAQFZLcvF/MX4BrnWWENA4GL+YrwtL/DY6mzR\nttqIohgf37OKl2/rRvw4WZEoiCdkSRDO01wtXWW9uR4PJxsDg+WJZRRJOfH8lYkVqlTjwW1VUlnI\nLuC67udmbHyViILbIjev//D//ofvhG3jd8l6chyedH7wXbpuxhjjNwHnluCvFFeYSc/EFo0pOcUn\n1U/Y6exgezaSIDGbmSWlpLA9m7nMHLqqxwQg0vN6vhfLFOCo4+/5HjudHfa6eyznl48ea+8gCAKa\nrKHJGoZjjHTzJxIT/GjxR/ynj/8Ts5lZKv0KD+oP4u0mpASu4jJwB7yy8EpIZp1Q7pKW06iySjto\ns9PZYSm/RECA6Zks5hcxB2bog94/RJVUAoJ4WDeTyKDJGvcb95lMT+K4DrZrj7jBCAjUzTp/OPOH\nwKiDxMXMRSr9Ch23w3Y7TAhWJIWFbDj0KAoi05lpRMRwgFV4tLIgCGS0DBk1g+d7TKYmY61/Lhna\njs7l5nhh+gV0VUfMjOrAh+H5Hg+bD7E9e2RIMjq+KxMrrNZX2WpvxedqSp9CV3V0VY8JcNWoxisc\nEWG3PZuF3AK/NfdbsVb/OKb1aZpWk7Z15FXu+R5rrTXaVhvTMUlrR8R7+GbzuA5uxaycOQw5/LqV\n4gpLE0sjZMP27DPJxlkrEREpNAYGr8+/frS9gRe7Pr0w/cLI9qJwsEKiMOKzf1rx8m3eiB+33Sl9\n6szizXTNkeFkSZRIKSk+bXx68j0EifnsPJdLl1nILsSvOeu6eZLP9jQwByayLX/nCOd3zXryabIA\nxp3mrx7ftetmjDG+6zi3BD8tp3lv7z0EQaBrd9nv7rNaX6Xv9JnUJ3F9F9MLCbHrh+4wlmuFneaB\nwQX9AofGYaznjZbxO1aHrJYNXWlEiUq3guVacWdU1/QRH3IPL/bhX2ut8drca0BImIrJIkv5JQbe\ngK3WFpIkISFRSpfYa+9hDkLv/sgWMBr8zSVydOwO05npMMxGkGJ9u+maNMwGSSVJRsvQNJsMvAGa\nFK4GFFNFsmoWAYGUksIYGLFdYEpJMaPPjBC1CKIgUtJKyJLMjr2DIil07A4PGw/x8Smmi9TMWpiq\n6tnkxTwdq0PH6WC5FrqqIwQCk+lJJvVJ8ok8XatL22kjBAKvzb3G8sTyYx1S1lqhxjmpJDnoHcQD\nspF/+Tu77yALMt8vfx8BAS/w2GxtMp+d5435N+Ib6/NTz/OT+z9hu7ONKqlIghRbQ94+uM2MPnOq\njlsSQiIl5SSMgTFiRfrCzAt8sP8BSTk5UtAd72qfhiAI4DH258Ov+yJk40kcQE7b3q/Wf3WChBz2\nDuPjfbwLfrx4+TZvxI/TTOuqznx2/oTc4p/8L/+ExmGD5YVlbn9wG8Mw8H2f2YVZ/vNhlc+ObWfy\nH/0fqLKCLMpY5SL89a3Pfe+vQ6/9g/kfnDqUe97xm249Oe40fz34Tb9uxhjjvOHcEnw/8Pn13q+5\nWrpKUk5S6VdQZRXbs9nr7TGrz9K1uhTyBXChaTZ5ffH1uCO33lyPnTjgqIM5kZjAdM14yC6tpnE8\nh0q/wkHvgNnsLButjXioNXLgCQjo2J0TMgoJicuFy6E1pnfkr77b3mW/tz8iW4ncbizXQpGUuJOq\nqzptu80P539I1axyr3YPTdLCgdb0JK/NvRYPUH5W+wzTNXljISS8w0OmZb1MVs2O+L8PH8/13jq+\n4KOkQ6vIydQkDxsPySayTGemySfytKwWmqRR6VVIy2m6gy6qpJJSUySkRFiY6NMkpSRpPc1F5SKv\nzb3GpWKYHvo4zWvbasfa96bVHHFC6Tt9tlvbvDj3YmwJOvzaYU/33e4uhVThRPpt9FwBgYScOPUz\npNV0fINeb66HQ8eRBObRe0YF3fFBzLNu6p8XbvS0ZOBpHUDOmhOIcNxtB0aLiW/zRnzW9WO6Jrqq\n88b8G+x2d0c6q+1qm621LbbWtka2tb2+zQRw5fib7FTjfw5cl2o1/H/ST5553XxZvfbk5GRYCD4h\nznMHefhaiaxIh3MJdEWPP/N53o+zMO40fz0YW5aOMcY3i3NL8Pd7+wy8Qdx1bFttMlqGidQEZjfs\nckde7Jqssd/bH7kJHycpwx3MKDRrLjMX67IPe4f4gY+EFDud7Hf3yWt5LNdiWg/DnqKbUuQuk5ST\niILIcn6ZmlGjbtQ5MA7oOl0aRgNFUqibdYrJYtxprht1Kt0KPbuHMTB4ZfYVDo1DHN9hLjPHldIV\nVEnls3rYeyzppXg/EkqC/f4+h/1wuFIURGYyM7GWe7jLONyRrFk1Bv6AlJrCF3ws12I5v0zf7WMM\nDDpWh5X8CrcPbnPQDQcUPc0joSTiQKboeEept5Fzy3B67eM0r653FGp13Aml0qtQTpdPkHs4SSo/\nj4Du9fZGpStn6G6Pbye6FiK7ymEpy+M6uNPJaXa7u+iyfuJnX6bz+7Qd5dNeFx3T42478c+fYKXi\nSX/+RXAaAZzVZwkI2O/thytUj3zwo8Ls+IrF4vwi6w/Xn+r997b2RtxtXM/91vXa572DPJy0fbd2\nN04RjlAza9zcv8nzU89z++D2ud2PszDuNH89GFuWjjHGN4tzS/D/bPXPcAKHQ+OQYrKI8EgDISIy\nm5mlZbTwPC90mbF7dJ0uXbvL29tvcyF7IXasiXBclhD9P9Jlt8xW/HwJCV3VuT51fYRwGgMjfv3L\nMy/zs/WfxV1oURAppopUzSo5LccrV17hQfMBSTlJw2jQtbuxv7uu6ryx+AYTiYmYiNquzX53n7pZ\nD4cEBYPXZl9DQAh95QMLAQHf91nOLSMIQtz9PugdsNfd48bUjZEuY9QNbdttHnQehK483T6GbCAh\n8b3y90hKSTRVo2bUaEnhMXim9AwTyQl6do+G2UASJGTCYeJ8Ik/LbJHTcvFgbZQiGuEsGcqwxnl4\nwHD4sePkPj5fx7qGj8NZ0pXHbROOroXonA7Pczyugzudmuawf4jpmiOPf9nO79M6gJz2urJeZq25\nhuu5+L7Pfnd/ZMYhmkOBb+5GfBaR3e3tkpATvD7/Oulmmu32NhWzwpubb57aAf7lL3/5uasoT4q/\n8+O/wy9/+cuR6+ab7kKf9w5yVEC2rNYJcm+4RjhP5Jq8s/MOCJzb/TgL407z14OxZekYY3yzOLcE\n3/VdrpSusN/dp2t3yWgZbM9GlVRERFRJ5bnp5+g7fTzfYy47F9v/bXe2edh8yPPa80dylWPEcTjR\nNnLgAKh0K6TV0P992Gv8+C+gpYklbhg32Ght0HN6DPwB6411qkaVyfQkPj6qqNI0mgRiQK1dC730\n1TTT6WlW8ivM6rMxwcloGTJa6I/fsTtstjbJJrLktBwXciGBvt+4T0DAjakbHBqHI/KcvJannCqf\nsJKM9Oo1sxam2gqwMrVCy2xR6VdIyklaTouMkiGlpVjILnDQPwjlRorGs/qzlNNlrIGFG7jYro3j\nOqcOv56Gz/Nxj5b4P6l+wlR6ilv7t04dcj3r36fhSUlXJCEYlhhAeG0YAyOe5/i8Dq4kSFzNX6U+\nqMcuLo/r/Hq+x3pznZv7N6n0KkBYXLw88zJLE0sjzy8miry///7I816aeYnlieXHSnSOr6Loso7j\nOSiiMmLRutHaIKtmeWP+jfixb+pG/HlEdqO5wd3WXQzbQE/o8ffj6+wA/+pXv0KW5Tj1+dvopp/3\nDnJUQG60NigkCvHjhmvEGSOSIPHX23/Nb83/1qnbOA/7cRbGneavB2PL0jHG+GZxbgl+WS9TTpfp\nD/p0nS75ZJ797j6O5wCgyAp+4LPT2cF0TfJqnvf33kcURIIgYKezE9oTzr7EtD49Ir84LlMwXZOX\nZl5CQOBn1s/oD/oc9A4AHmtjWEqV2Gxv0nN6bHe2aZgNrk1do5wqx9KZNzffBAFSaoqe0+NS8RIi\nItudbeaz86cSnKyWZTG/iCRII4RRQOCFmRdO7X4D7PX2WCmujDwW6dVLyVJokalolJKl0E2lfwhB\nmPBbMSv8ePnHdJ0ufacfp3mW02UG3gCAH87/kJpRi7MCzupiRqR+s7XJ3fpdXM9lMb/IUn4Jxz/y\ncb9cuMxqfTVO5dVVPR5yrfbC1NyHjYcYjkEpXSIIAn5w4QdfGQGd0Wf4+frPEYWwYKybdRpGaI8a\nEPAHz/wBr8+//kQ3dEmQmEvPcWPxxpnP8XyPjeYGP137Kffr92Nv/mKySMfu8LP1n3HDuMGLMy+y\n1d7iF+u/wByYpNV0KIvSp7Fci4bVYJnHE6PjKxjrzXUEUQiDzYYKw2g4eXjG4Zu6EW+2Nuk4HVZr\nqyNzJNP6NLqic3P/JrZnn3Ao+ro7wJ7nceXKFWZnZ/m3//XfhvM4UoLd7u6I1jyjZSgkClwqXvpK\nu/znrYN8loyqkCxgDaz43B1virie+7nbPY8Yd5q/HowtS8cY45vFuSX4hWQB27Njbfted4/J9CRN\no4kgCsxl5vio8hEJJcGliUvM5ebY7GzSs3uh5GBimQf1BzGZvFK4QtNqUrfq5LV8HAp0POzqhZkX\nYm34emOdSrfCm0l5cgAAIABJREFU317+2yMd0+Gu3qXCJZJKkrSa5l7tHv1Bn0AIh+kc3+FC7gJJ\nJQyQMlyDrJqlrJfRVZ0PDj7gUuFSvM+RFj0iYANvwO9f/v34l9+v1n91poQl+lzHMdwNHE71FAWR\nsl6m1qsxq89i2Rar9dXYVx2gnA4LFU3WYv/0Z0rPxL+Qt9pbvL399gihmcvMxbrbjtNBFmQyiUzs\nTBPlCaw31/mz+39Gx+owmZ6kkCzQs3tA6Jv/l5t/iSIqTKYnkSUZx3P440//mJ/c/wn/+Ll/jCIq\nX5qARrIvL/DYaG3EQ9IBAT4++719bu7f/Eq6tNE1s95cj5OWNVkbkW/Zns1ac41Kr4LlWQiCQDEV\nDmhHSc1XCldYa6yx3lxnKj11gkieRTQ3W5tktSxZLXuiMARGuqnfxI3Y8z3u1u8iC/KIxCPaz6ul\nq+z39inL5bibPozjHeDDw0M83+POwR1s1yalpPjd5373qT/f6uoqEB6XhJQ4VWvetbv8Yv0XLOQW\nvlKt+XnqID9ORtV3+nHD4TTI0uNvL+eV0I07zV8fnsaydIwxxng6nFuCf7l0mZpZw3ItyukyaTXN\nC9MvsNZao2N3SMkpakaN5YlliqkidaPOwB2Q1bLYrk3TbHIhd4G57BybrU3Wm+ssZZcQcmFoljE4\nO+xquDveG/SQRGnkZnRcWhCtDKiSGnefs1qWnc4OpVSJwA+4OnkV0zVHElQ/OvgoJviRjafjHpGI\nPv0vRBJOdU95RPqzSnhcHD9cAfHx2evu0TJbfG/yeywWF0nLj9xkpHA7w65Aqqxya+8Ws5lZ7IHN\nTx/+lFwiFwYsKeHztzvb3Dm4Q07LkdWyfFb9jJ7TY7O1iR/4DPwBjudwvXydptVkvbnOy3Mvx59V\nFEV6To9Kt4I5MPElPw77SipJkkqStt3mZ+s/45W5V5jT59jv7T81Ad3r7fHCzAvcqdyh5/RQJAXH\ndSimihRTRYyBgemaX0mnOLpmunYXY2DEx1WTQ/vTulmnnCqz2dpE13QScmKETEZWom9tv0VWC21S\no2tnODH3LKJ5t343vIYEKS4k97v71Po1WlYLc2Bya/8W5VSZmcwMi/lFFnILT7Xf1WqV8tDgKoQE\nfNgScqu9heu5ZBKZkedFidSRJOlxGC5oJycnWW+uk8wlKSnhUPr7u+9z4fW/D5uP97c/Dcsry6QL\naW7u3sT0TIIgODFrkpST1I36V641P08d5MfJqHKJHOvN9ZEmRYTeoMdzU8/RH/TPxX58EYw7zWOM\nMcZvAs4twZ9OTzOZnow72pZrYXs2r829xkJugbe3346tLCFMgx0mTQ2zwaK2eGoo0GZrMx5o3Wnv\nUDWqLE0skZATn+vgAic1sn7gh0WDY9C1u2iSxpQ+hSRJtO02datOUkkiCRLv770fSxGGE1UjG89h\nUicK4ghJeJob/7Bl5mxqlq7XxXZtGmYD0zEppUos55fZ6ezQMEOPfsu1mEhOICLSMBsYroE9CD34\nn59+nkq/giiEgVh3a3djv/i0kuZ25TZL+SXSSpq15hqyKMfnJUmS+/X7tO02GTWDKI7aNaaVNIIg\ncK92j+vl6+x399EVfSTMK6fl2O5s89zMc0iixI8Wf/Q5V9LZ8PxQWiAgcGPqpLTGCqyvTCscXTNe\n4J1I0tVkjabRpJwqU7NqFFKFU9N2I+nYVHqK/uAoqyG6Rh5HNAfegEqvwrQ+zd3aXfp2n9XGakzw\njYGBLMkoooITOAQEX6vTyU5nh8X84kgeQoSUnGKjtcG0Po1vnzwOEZ4kGMwuF9k5RvBFQcB/ZFm5\ne8p23915Nya1H+x/QK1VA2C9tc5yfnnEZjStpvnw4MMvpTU/vuoC0LJaeAkvXk2Db7aDHH2mP139\nUxRJGZFPRb8jL+Yvcrty+8xOd1Rwfhc74eNO8xhjjPFdx7kl+NFNNPKJl4Xwo262NuOBzcnUJIdG\naH/pMSpPsVxrRGfvuA4392/Sd/psdbZwXId8Ik9v0GOvuxeSrEfSgOMk/7j05fj/RUGkZtRIqSlM\nz4yDsiQkJEliq7FFWk7zgws/iPdrv7vPTnuHN7feJCknedh4yLQ+jSZpiIKI6YbkO9L93t6/zY2p\nG1/4xh8VBUWtSLVfpaAVWCwtcq92j0KyEEuhrk5e5b3d97DdUPPcNttcKV1B13S6djdMqRXE2Hs/\nKSfjGYi97h6FZCEk/VaXSjfsvvqBP0LOIVy2P+gdIOriyeMcePScHvcb9xkEA3Y7u1xTrqFIygip\ncgP3c4nTk2iiY8lVcLoWeDj1+MvC8z0836NhNNjubCOLMqIgktWy5BP5+PoVAgFJkEbkVBGaRjOW\nPRz3stcVnb/e/mtevfAqu93dE/kIC7mFOAXWGlisNlapG/VQjhT4zGRmqJt1VhurPFt6lq7TRRTF\nr0/n7ntMp6dpmk1M1xwh+aZrIiJSTpX589U/RwiEMK+gm44J5nBBG53rW/u34iI9IqO3/u8/OiHV\nOTw4iFcTrsDIkV5vro8U0WW9zGe1z8glctiuTc2oUU6HqxOGazCtT7NWX/vcfX3cz06TwAQEtO02\nIiIBwdfeQR7+vgwHwEmSFBemHx9+zDs77zCfnUcRFcp6maX8EgvZhTM73eNO+BhjjDHGt4NzS/Aj\ntO02W60tFvOLZNUjUlsza+iejiIqGG5o+xjBdkO3nUhnHz1fkRW6TnekU65Kof6+63TRZI2PDz5m\nIjERd7BFUcQchPaHEUk8jil9itX6Klkty6w8S7VfDVccXJuHtYdhYJTdpWbWYsvPzdYmKTWF53kI\nioAsyTTMBl2ny7Q+jSqptM02g2AQk+mMlvnCN/5IT5qSU8iijO3ZwKN5AC1LWk2jSipzmTmEOYG7\ntbsYjhG7yEzr0wRBEFsqAnEXer21zsAbICAwnw1Dp1p2i67TJQgCpjPTNIzGCMkXEVEkhUqvwuXi\n5ZjcDevgZVFGQCCrZulYHQzHYDYzG5PaqNg7izg5rsNPHvyE7XaYdBt9dtd3R7rSUfFzmoZ4eBD7\nqyIid2t3QQiHqC3XQpVUOnYHY2CEkiDXIK2mKeshgTze3fbwEBHP9LK3PfuEzCvajizJCILARmsD\n13ep9+t4eKw11uLOfVpLUzdCJ6AoA+BJVi+OF1PdZvfEc97ZfodMLzPyHZJEKU6QHi5IJlPhyl20\nGmENLDRJi/X5C9kF0mqahdzCCEFOKal4v6PnTgvTJz7L43B8FWBan0aV1Xi1sGE2KKfLI44xW62t\nx2zx8dfPWRKYrJZFFMU4uO/rgBd47PZ3qQ6qvP3+27hBOAzvBz6CINCxO2y3t3mm8Axb7a34u266\nJplUJh44/vHFH5/5Gced8DHGGGOMbwfnluD3nXBYVRbkkNwPdawBFvOLbLQ2WMguIIoiDaNBzaiR\nlJOklBTfm/xefGNt220Oe4d07A73avdIyAkKyQITyQm22lthx9puk/JTmAMTTdJiIlw36mQTWbSa\nBgLcrtxGFVVWCitMJCeAUE4kCRK2axMQsJxfpuf2KOtlWlaLUrqEgBAPVEqEHdpLhUsxiX5Qf4As\nyfScXtjZVbPcq98Lg34CH9d340CrL3Ljj7potc0avufTHDRpWS3SSpoZfYbpzHRsSTmbmaVtt3E8\nJ3bsAVhvrJNPHg0mS4JEzajFGv1h//eZzAybzU1qZo0LuQtxcm9CTmC7NoVUgf3uPpIgcX3yOquN\nVUzXpOt04+0Vk0Uc1yGjZVAlFcdzaNktCokCbbvNleKVeN+Ow/M9fnL/J2x3tplITMSPH/QOaEpN\n5nPzcVc6Kn50VafrdGNyaLpmXCB+Ua3wWSsHENqfzmZnsTyLzdYmtmfHicVZN4sf+NyYukFGzZBW\n0ie62wNvwERi4kTxGqFrd8lq2ROSl0jXXkwWIYCblZtUzSoSYXc2n8gjCAJ9p48f+NSNekw4n8TR\n5XgH2lVODsXeb9znUvoS0+np2EM9Gug+7gh1v3GfieQEWS3LxcxFKv0KHbeDH/h0rA5SThpJI47e\ne0qfGgkqM1yDQ+fwic/dafsrCRKvzb7Gp7VPw8LXPSp8p/Uw7O3LaM2/LUtMz/diC1IjMEhJKTJy\nSNrXW+tcKV2Jr49Pq5+iSVpcqEdyMoBcIndu/ey/DnwXk3nHGGOMv5k4twT/9YXXCQj4L5/+F7p2\n94SNXrS8v9XZ4ofzP4y1xS2rRV7LM5uZBY5WAFzfDQdhZTXW6G+1t0gpKSbTk+z39oFQQqLJWuhk\n4lqIiGFxYHXIJrLxSkHTavLqhVfJabmwS5Vfpm7V6Tt9TNekb/eZy84hi6EDTM2o4Qd+WLgQcL18\nPe4cz2XmeGPxjZicGAODm/s3Ywcby7WYzkwfOdEUL/Pe7ntPfJORxNDCsayWURSFGzdunJAiRM+7\nWrrKWmsNEZGW1aJu1GlaTVRZ5c7BHab0KYqpIvfq9+KiS+RILpJSUqHDTmeLxdziSCqwLMiklTSX\ni5fpD/qoshp3cO9v3kcWZTp2h99e+G32jX32O6EtqiqpdK0ukiCRVtNcL18/kzhttbdOkHsgtkdt\nW21+vfvrEb3ztD5Nq96ibtZjovg4e9Sz4AVne6bfrd0lo2awXZuLExfJqBnWmmtsN7exfRtBEHhx\n5kWeLT7LJ9VP+MvqX9KxO3TsDqIoUk6WyWk5lvJLXCpcOnGee4NeSODPgICAKIjMZmdZa60xmZpE\nV3X2untxSFS0Gta0mnHw1eeRltM60KcVBQkpEV+/V0tXySVy4UqUKJ7QZ7etdlxcioJIOVFmVp7l\n8uxlgHhAHkYJ8nHJjyZr3Nu7d+KzPK5oOW1/Z7IztJwWtmuPFL5fhdb827LE3GpvxRak271tinJ4\n7STlZDj0bYRD3/PZeT6rfsZifvHoM+HFRfDF/MVz62f/VeO8JwyPMcYYYwzj3BJ83/e5dXCLSq8y\nQlyGbfSulq6GPumPvOIjl5yBN+Bh42GcCgtgeRYeXkzQNVljs72JKIihQ4ucpJQuUe/Xw46y3YUg\ndHaRRCmURcihLMJ2bQ77hwgI8Xvnk3nyyTzLE8t8WPmQpfwSEHa7FFFhfno+1u7ertyOyX3093CK\narVfxfGceOBVlVWKqSISofb4re23UESFlcKR5/2T3mS8IAxZijzqB96ApfxS3MU3PZOLExdj0qJI\nCgklERcfB70DFDHUxFtumK5bSIVhN4ZrkFRCwiPvyGFhIKlk1SyXFi/F+umO3aFtt2NCNJeZY6Ww\ngiAIaLLG1dLV0PKwcoe3t96ma3cRBZHXLrzG9fJ1HN85kzjtdHZQJfXUfdckjfd336ecLo84f/QH\nfZ6fep5SqhS78tie/YW1whWjgu7qI93vKETrk8NPmNFnKOthaFhaTjORmGB+cT7s6g8sVgor/Grz\nV7GlZUpJkZATYXGqJHlj4Y1wxcQz0cWTRPJK8Qr7/f1TNe2qpFJKlriQvcBh/5BSukTH6qCreugg\nJCoM/AH5RD6Uoejlx3af/9bf+ltsbW2RmghTnD98/8NTn/dzYA7gb/9vACiqTHGqhCzK+IFPMDPD\nnf/0f47os13PfWI72OF/D0t+Kr0Ka801DMngf3z2P+Lruz/os+VuMelPnnpeTxtkj8Lw1hprCIIQ\nrsJ9RVrzb8sSc6ezQ1JO4rouQTA675GUk3GXXhREiukihWSBhtmIVxOn9KlQStWvsN5c/xvRzT7v\nCcNjjDHGGMM4twR/p7sT62qHMWyjN5eZ40LuwoiTStRlUWSFy6XL3Nq/FVoMdvrcq92jmCjStELH\nHVkKO8YpJUU2kSUlp5ifmY+Xn+8e3qWQKqBKoQY3QtRVr/ar/OH1Pxx5X9M1R4Y2k0qSntOjlCrF\nj0U++dGQHhyRiEqvwqeHn4ad/yHLxqgwifTRzxSfGTkuT3KT8QKPe617zE/Mk9EyvDTzEpVehc3W\nJrvtXa5OXo3tEYdvZgk5QdNq0h/06Q/67Hf3aRgNJFFCFmVm9JkR2YIkSNyYvhEOHbvmia5mWk3z\nw/kfstvdjQnRwBuwkF+IXy9JEq/MvcKLMy9S6VfYam3xTOEZbNcOk2Ydgzc33zzVB/4sclgzatie\nPZLkOnzsvqwrz56xR9kqs1pbZeAP2GnvoGs6s9lZ8ol8fA0llAQZOUPLbmE4Bvdq93A9F1EIV018\nfJJqcqRrarom+/19Xp55GUmUTiWSb2+/zeXEZT4+/JgPDz7EDVxkQeaZ4jNcLl7G9V0WcguUEiVa\ndgtZlFElFVmUY+tOwzYIgoCH9Yek1BQX9Avx+4zs694ea2uPHy6FkNxfGX7AcWH7yALz3tbeiWO+\n03m8reVpqcbHE4kbZoOsmmU5vzwi//m878lZHuima3KxcPHMAvppteZfhyXmk8hIhgujaAUnQiFZ\nYK+7F/9fFVXK6XI8exB9z6N5j5SS+kZShr9tnPeE4THGGGOMYZxbgr/X3Tuhq42QklMc9g7JJXIn\nboDHuyyR3eBcZo7P6p9huRaKrMQympbVYhAMQu29qPFMISTOEmG3b1qajqU1G60NfHxERJJykr3O\n0U1wuIv3UeUj+vSRBInvlb9H02pieRYpOSxWiokiDSu0pJxMTY4kZEbhXov5RapG9YSeumk08QOf\nKX3qBKkRBZFKt3JmB61iVEKC++jYDCfiRmQiukEN38wkQeJK4Qpvbb8VdvAlJSY0hWSBhJIYcR/q\nDXpxobDeXOfm/s3Y13xan45J6jAhimYqKr3R/ZnSp9BVPQ78ipbIM+qRf/pxUjGcWhxdAzWjxgeV\nD3C8sGja7e6OWP592Ru0F3isd9cJegFJOUmn34l17RutDfLJPJVuJfazf3fnXQqJQuyDP61Ps1pf\npWbWWMovjeicISxse3Yvtpc8DbP6LD9b/1l8nKOO62p9lYPeAX/4vT9EEiVeX3idDw4+oNKtYLhG\nOPsgaVT7VVJqikvFS6wUV5jWp9nt7VK36icI28zsTBwG9WUREUwtofHCyy/w7//7v2ers0XX6XK3\ndRfXdZFlmXQ3HYbY5Y/O0YXsBTZaG2y1t0aCqHbaO1heuPp1vEB53Ln+pp1fhguKpJSMv8/GwCAh\nJ84ssM7Ck8pIhrdX1Iojqz6lVIm6Ea5kBgQ8U3wm/nc0WBzZ+gIjA9+/yd3s85YwPMYYY4zxOJxb\ngr/f2Wc+Px/rantOD8M1aBgNvMBjr7vHQe+AV2ZfYaezE3eojndZREHECzzqZh2B0EUkm8hS6YVh\nSoqocEG/gCCE7hCbnU2W8ksklSSKqOD6Lg8bD/EDP5SkCAKapKFKKtud7ZGbb0Raf//y74905WYz\ns7Gff9/pszyxTFJOoqs6q/XVmJgYrkEukaNphoOwsihjuEZcGMCR3GIyOXlqumalWzkzfXXf2scO\nbD7Y/+DETMNx0uN4Dk2rGbubNMwGANemriEh0c12SSkpHM/Bdu14ReW47rhhNZjJzBwFevke7+2/\nx0/XfkpWy9I0mxSTRYrJIncO7qDICqXk0WrHRmuDrJrljfk3nmiJ/EL2Aq7v0pRDuVNCSsRuP47n\nMJuZZTY7OyL1ikj+l7lBV4wKXuDF56JhHrkHRZ9Zk8KB5P6gT61fQ5M0NtobmIOQXHWdLn2nH1pE\n6uUT7zHwB9yt3kUUxVPJW07N4Qc+m61NunYXy7NiSUXTbHLn4A4rxRUuFi4iiiLdYvfo/BoNEGAi\nOcFsZjbuep9F2P7df/13XCxcfOrjdRpsy+adv3qHf/gH/5B/+q//KT23hyZpyMhIkjRyLURYyC1w\n5+AObbtNIVGIHzddk4yWQVd0Kv3KifTez9Phf1POL1FBsd5c5xfrv8AcmKTVNMsTy48tsM7Ck8pI\nLmQvcN+9j4JCKVHCldyY5FuexctzL2N7Nh27w2IuLL6zWpaLhYtIQmiVC5w68P2b2s0+TwnDY4wx\nxhifh3NL8OtWnV6tx9XSVS4XLvPW9lsc9g8RBZHD/mGoKU6X2O/vczV5NSY5jueMyHomU5O8u/su\nkiCRlJNM6pOUUiVEQWQ+O08xUSSfyqNKKhutDbp2l932bkhycnN8cvAJAaHlo4jIwB9guRbGwKCU\nKp3aqTq+zC8JEtPpabp2l4P+AUE3IBACWmboJDKTGZW4VHoVNlobLGYXEURhxEJQV3Wen36eqlmN\nB1APjUMaRgMfH9dzWWusUUwUWSkeafS9wGOts4YZmOSUXLwScWgcUjfqXCtfi0mP53s8aDwI5xMe\nEdbt9jYQEu6l/BKyKI/onW/u3WQrtUUxWWQmM8NWewvf90fIhueHab3WwGKrs0VWzTKfnac36LHb\n20USJVzfxRgYoQWoILGUXyKjZmI5z+OWyLdaIcFfra9iOAaWZ8UFoSRKlJIlbkzdQEI6IfWCL3eD\nPrQPmUnNxCRpOKgqIYczDK/Pv44kSqxurlI362F3OQgzDRJygrpZp221+eTgk3D4FYFSqkQxWUQS\nJFpWC109XeNvDAyaZtj1j6Q/kiQhCRL5dJ6klOTd3Xd5ceZFliaWqBpVRFFkLjOH53v8fP3nNMwG\nHaeDgEDgBwQE1IwaXuDxUeWjeBUlkgh9Xbj97m2SSpKSXuJm5SaO66CijlwL0XdOEiXyWh4xL458\nT4qpIrOZ2ZiMHif4Z53rb8MlJeqoPzv57JfWd3/edyTKQthsbfKw8xDbtZnPzPNq4VWqZpXN1iay\nJFNIFFjIL4xI34aPizEwWJo4mt05jq+zm/1tOdmcp4ThsZvPGGOM8Xk4twR/PjvP/eZ9Kv1Q2pFL\n5JjWpzk0wpv4TGaGtJKmP+hz5+AOQExyXpx9Mb7xBAQIHGlMJaQw9VbS8AOf5cIyqqxy2DuknC4j\nC2EQU1JJxtrkXCLHwB2EnVM17MQ6nnOmT/jxZX7HdVitr9KwGpRSpfgGsdfdC4dY5QTXyteOBm4f\nrVpsdjb54fwPY3LSG4Ra/lwix4PGg7gosV07nAkwqmTUDDf3b/Kw+ZB/9vo/Q5XDgdPd/i57xh5J\nNUlZPuoOG47BamOVicQExVQ4zLzV3iKXyIWDxo/gBi6O61BtV9lubbNSWKHSrzCZmqRpNckn8izk\nFzjoHXCvfo+PDj+iY3f48fKP421U+hUcz6Hv9pGQMBwDAFVWubd7L7biGyQHXJu6NiKhGXa9OQ1e\n4PFp/VMEMXQ5iVZM9jp7ZBNZXpl9BQSo9qvIYnjZR1KvYYnS08ILvJFO6HAQle3ayILMXHYuJNxa\nnosTF+OOviqpcRrywB8wCAboqo7pmrG16lR6Csu1uFa+Fr7fo2IpWsFJykl22jvc7t1m4A1YKayc\nCMNyvDDsbaW4El+fm61N7lbvst/dZ2liKb4G3t17F4ArxSskhAR9+iMyD8/3+IsP/yLe7k8f/JR/\n84/+Da550iLziyIIAvqDPpdLl+nn+7FEJ/oenPadO261GcneooyFYZx1rr9Nl5SvSt/9uO+I4zq8\nufEmH6U+ivMhNFFjr7/H7cptrk5e5Q8u/8GpJPH4qoYkSifmo44//+vAt3mOzprP+KaTecduPmOM\nMcaT4NwS/GKqyKF5yGZrk4SciDvJ+919dE2nmCriBz6VXoW+0+d6+Tpdu8teb4/Gwwa6qvPq3Ksc\n9g55tvQsNaPGfm+ffCJP02oyq89SSpVoWS1emHkh7mTerd1FV3XeWHyDlJKiP+jTsTp4vkchUUAU\nQ+vKhXzov3/c0eO0rorv+9TMGrIkj8hpFFEhIODTw0+p9CoUkoVYNnO5eJmN5kbs0hPpgH9r7re4\nfXAbY2DQdbqhpZ0ZhhOl1BRTmSlERCq9Cj+5/xP+3pW/hyRKfNr6lKyaZcAgfn8/8Ok5PTbbm9za\nvcVrF15jp70TrpDIKputTdzAZVqfDm0uHw1l+oHPbCaUuazWV0kraar90E8+2r+0kma1vspbW2/x\no6UfIQlSTLg2W5uxf75HGHBlDSyCIGBKn6I/6J+Q0ERWow8aD07IiyRBotKr4HpufMOLCJ8XeAiC\ngCiKTKenaVvtEb2xF3hfyQ1aEiREQYxXNWr9GnWzTlJOUkgVSCvpuFg5MA64UrzCp9VPY/151+mi\nSRq6ptM0mqE3v9WlkA+9/4f3F46KpWg/Oo0Of/R7fzTymf75f//npPNHBCApJ2M7WEmUWMgtsNHc\nCFdh+hW2O9thuJQcviaXyFEzakylpxAFcaSbLIkSmWI4B7Hb3UXJKvyLP/sXAPRbff7l3/+XT30s\nAf78wZ+zWl8laSZZTC0iD/2qOuFVfwqZGXalGi50Hneuv02XlM8rXnfaO7y5+ebndmsftzLx1s5b\n1Mway4VwHxJyAsM30BWdK5NXWMwvPvH+fVvd7C9zjr5s1/u8JPOO3XzGGGOMJ8G5Jfh1ox7aYNYf\ncmgc4gd+3P28kL+AhMShccjACzvrkc66mCiSUBN07S53a3dpW22uTl5F13Sup69ztXSVDysfkpAT\nAHF3z/M9Ptj/gJuVm3SsDtud7TD8Sk6Rz+bZ6mxRN+shSRMh8AO6dpeclotvzmd6oFfvApy8GQqh\nVtt0TBJyIk6DjcjtYnbxVFeXSLN7c+8mvUEPc2BSSpfIJ/KxJ31Oy7HV2Yp/2TesBuVkmQP7ANu1\nUSSFnc5OTIxt18bxHf7kwZ+w29rluanneH7meVpWi89qn9E0mkhS6JqjiAoP6g+YSE2w29kNbSzF\n8H1FQaSQLIQrDVoulvDMZeZi2Yr/6E/H6vDeznu0rTZ1qx66GAXz+IE/IqGZ1qd50HhALpEjIIiP\n43AREEmHjiOSGUWd+uPJqQNvcOIG/TREoKyVqbv1MHMgM8d0ejrusAcEMTHvDXqUk2UyWoYpPezK\nd+wOLbMV65nns/Ok1TTVXpW23aaYKMaa7LhIODZ4/nmwXCvuzkf7+OvdX/On9/8URQ6Hpnt2D0VS\nWGuuMaVPoUgKn1Q/Ia2m41yJqJs8TPAOe4cokhJv23btJ/5cp0FJKegJnYyW4WH1IXu9PX40e/Q9\nOH4Ontb7rQaWAAAgAElEQVTacvhYbLW3+NPVP0WRlHi4e1h+8nXrys8k5kHYdOhYHS6XLsePn9Wt\nHT4WwxKuw94htyq3Qgva4MhpSpM0Bv6AntP7Qvv3bXWzn3al46vqep+HZN6xm88YY4zxJDi3BL/a\nr1LWy8xkZsKBwEdhV227TdJIUkwV40HGZq+JLIQBVY7rxOFKlW44SLvX3eNa+UjyMeyyIgphF/7T\nw095c+tNBEFgJjtDLpHjoH+A4Rg4nhN65Bt1CqkCsiRTN+q0mi1SUoq21Q7ddwROJO6mlTSWa9Gz\neyPdVCC2e5RFGY8ha005Sd2qs5w7O/791blXqXQrVI0qM/rMyM+jxFhN0uJf9gFBGHSUmiWdTLPW\nXKPar+L6Lj4+siSHwTdSgrSaZquzhSiKvDjzIqVUCduzMRyDrJZFQECWZO7X7/P+7vsEQcD3p7+P\n6ZnktdBHvet0mUhMsN/bj8n1cCd1o7VBUkrG1pWO64REUVRYyi+Fqwt2j7+q/xUJOYEgCJTTZfr0\nY7edttXG8R1u7d6imCoyOTN54lhFLkyxJn7IEdAahAFiwziNCHi+x7u77/LThz8Nh4UDqBrVcJ7C\nD6hUKiwll0hqyaO5i6HQsJbVomN12GqFMwppNU3X6eJ4DoVkgXwiT8fq0Hf7eL5HQk5wMX+R58rP\n8dLsS0CYUruYX4zJ27DGH8D0TM5ClKWQUlJxANhWe4vN9mb884SUwFEcXN8FIXy/lJKKyd/wIKXn\neyMEzwuO8iWi4jHC7qO/5xZm0RNHRNDxBmysbbAXBCT1JJZhEfgBiPDqv3o1TE/W8rF70MPOQ65x\n7dTu8NNaWx4/34qkjBaPj0K5TrOW/KpxVkc8us6PF69ndWujY9G222y3t+NVnqbdJJvI4uOfKIY1\nSeOwd0hWHf3d9Th8W93sp3Wy+U3qeo/dfMYYY4wnwbkl+D5+HIgUPPqTVtJMZ0K5SNfp4gYuuGFK\nZ+RNH3nGl1Nl0kqamcwMG40NAD6sfBh37HtOj57Ti7Xk+/39MOgnmSefyAPhgO5D+yEduzPiSnJg\nHGANrJDMWg1SRortzjaXipdGXFkipJQUu51djiPwA1JKCmNgjKTBmm5IlI+TuGEs5BZIKkks14rd\nWuCIYBWTRQbeIP5lX9JKdOwOSS1JOV0OVw5cE2NgxBaW96r3UCQlJvsNs0HNqMWOPrqmo8kaAgLr\nzXXadpuEnEAURBJygo7VwXAMZjOzDLwBgRKgSRp9pw8cke2BO8Ae2MjIVPtVfHwG3gBBCF2OFFFB\nk7Ww+Ah8vMDjcuEyh71DttvbVM1q6IAkKbHUp2W1+Kz+Gdcmr42Qi2ieoW23425oZO+XT+ZZzi+P\ndPGOE4FhrbsgCLTMFh9WP6RltCikCizll+irfR72HpJ20vwg9YNwTuQR4Xl55mVqRg3Hd7iqXAUg\nraVZa6yhSRotM0zQ7dgdiukimqTFhVFkhRrtj+/73K3exXItdjo7oT1h8Eiu03FOXCOWa6G4ChPJ\nCayBxf3GfV6YfoE3N99kr7tH2wrPX6VXISEnUCWVntOjZtQwXIO22WZxYpGsmj1B2LbaWxiOwX53\nn7vVu3EY3GxmFlU4ChqLJjDe+9n/4OVnXo4fl3yPT+/9f2x1tvi/tDz/8eP/GAeUiUI4zL7R3EBy\nJIpKka3e1kh3+PgqS/S6aG7kScnm8Pke/t5GycfDDjxfpwRjIRfOr9yv36fn9OIu+05nJw6iO47T\nurUR8X5r6y06difO8JhITKBK6lFSrVkf2VY0iP5F8G10s5/WyeY3qes9dvMZY4wxngTnluDbnk3b\naqOrOkEQ8GHzQ2zPDocw/QFtq03X7nIhewFd1UcSXyNIgsRkapK/2vorEIlt9Dw8ttvbPKw/5Obe\nTTZbm3iBR1pLhzfSABBCDbLv+zieE/vYR1aXaTXNRGqCar9Kz+mx193DGBg4rsON6RsjZGEyPcmH\nlQ9DG0hJQXj0Z7O9GQ9XOp5D1+miiEosDzAGxqnHJiI3GS1DtV/lsH+IrunxoGwxWcT27FgWst5c\nx8NjrbeGaqkki0lc38X1XO7V72G7NlP6FC27RU7LIYlh2qwiKnxQ+SAeOgZ4Pv88WTW0t5R6Ekkl\nyf3afSC0zHM8h5bdopAocNAPnWMcz8EYGKTlNEEQkFSSFJNFHrQe4PgOshiuvhSVIv1Bn/XmOoqk\nMJuZpZgqktfySIJE3+1zYBygSupI0FcUprXR2qCYKo4MW0qixHxunmVhmY3mBi2zRVpJh3r2RxKM\ntHjUxTtOBI5r3d/ZfQeAUro0QpQyaoa+1+egf8BvL/12/Pr15jqO74xsM9KHQ7gSMClOMpGaoNav\noUoqiqRgezb7vX3+Yu0vSKtpklKSgIAXZl5gt7PLVmuLP7n3J6iSysrEChpHRV6E+dw8qWyKnfYO\nsiRzffI6l4uXw5mFboX93j6ldInN1mYsTclqWRbzi7TMFhPJCVYmVgg4Sjpt2206VgexI5LRMmS0\nTFywNO0mKTWFb58sTC9kL5x4zByY9J0+H1U+Yr+7z2RqkmK6SE7LAdAyWxiuQd2vo0hKTNjhdDlc\nf9AnpaS+0JDh8Pk+np+gSiqfHn4auxRN69OsN9e/tg51QDCywgThnEwgnHw8wmndWkmUEASB1+df\njx+7tX+LrtOlYTxa9TSaJEjEP7c9+9RzdN7wtNr/r2rG4TzgPLn5jDHGGOcX55bgX5+8HnYquzs4\nnhMPyjbMBqIgYg9sklKSrJKl7/Qpp8qjia+PEherRpW5zBxL+SUOe4cMggFbzS2adhPEUKt+qXiJ\ng94BtmezWl/lgneBC5kLiIKIKqshcfUdMlqGttVmPj9PQMBGawMxEFmcWMRyLTzf4379Pqqsxp18\nL/BoWs2wM/7IvaVm1DAGBnWzTjldZim/xKw+exQYNeSrfxzDkoKViRW+P/V9DvoHaJKGIisUU0Vs\nNyyE0nKalt1C7Igs6AtYA4vGoMF+d5+d9g573T0G7oCyXian5ejb/dCeMRBwAgdRCElcSk4x8Aao\niooQCPHwaJRAC/De7ntYnoUmhgnBM+kZEkqCDX2D2exsfMP8neXf4T9//J/5xcYv0EQtHtrNqCFR\nTGtpHtQf0DAbFFIFFlIL8UpGwwiDm45rvCUk5nJzrNZW2WxtjhD83qCHruq8NPMSb2+/zUphhdMQ\ndfGOE4HjWvet9hbXy9cBThClrJrlw4MPRwj+aZ3D4dTi9eY6Zb1M02qiKzoJJYHt2iTVJCk5Rctq\noUgKdaPOZmeTWX2Wu7W7cTEQBAE7vR006yTBh7DwmM5Ms5hfHNHwp9V0uAIWgCIpseVq9Jqm2SQg\noJQq4XhOfCw7dodcIndmwSIJ0qlyoeOa95v7NznsHzKfnafv9JnNzqKISnw9iYJISktRDMLreTI5\nGXdY15vrnyu3iNKYP2+OYvh8Dw/mapIW2+YWUoVwtWdi+WtzKtlqbzHwB3HQXoSAgIE3GLFzHcZp\nFpaSKLHT3mGlsBJ/xil9Cr/r05W7WK41UrR1nA7Xcte+MReY4/giMy9Pq/3/KmYczos15Rc9Bufl\nc48xxhjfLM4twX9t7jX++NM/HumeRnHpEHZtU3KKZ0rPsNZcC4fohsh9lLj4zs47LE8sx64qu91d\n/n/23ixGsuy88/vd/d7Yt8zIfam1q7uK1UUWxSalJlrk0Bpo88gQbEOAAQHSw2BkQBJgSw+CDAsD\nCIYF+UHwwAQ8MjSAAAsYSCND4gwGIxGEKJKi2N3VzWZ3bV2Ve2ZkZOzL3Rc/nI5bGZVZve+qD6iH\nysiMOHHuufd833f+S9fpMvAHZLQMbuQiS3LqzmoHNq1Ri7yWT6ENWSNLRs8wn5tHkzVG4QjbewM7\nH0dosoYma9xu3+bq3NUp46fGqMHQG/Ls6rNISHx357v03T6aolEySlSsCgW9wM5gByd02Bvscbl+\n+YRj5yQehpD8+PKP8+2db3O3fZeBN2C3v8uZ8hlWi6v03F6q4CJLMmfyZ6iEFbLVLG7gsjfao5ap\nUTJK9LweIDZC27dRJRVVEqo5K7MrNEYNMlqGMA7pOT2MnMHh6BBJEnh8P/RRJVWcrvh9NFkjF+Yo\nGIU0MTocHQqXzDf03muZGuuldcbBmCARpzJRHKGrOuNgTE7PpUo/8ICcKyUP2pnHYVlLxSVKeumE\n8tBxLe83i9McQycnLM1xk43eBrdbtxl6Q3JajsXCIqZmTv1+GE3LREZxRJREqWxnEAf0nB5IAiIU\nxzFX6lfEyZEELzde5m77LhISfuhT0At07E5aHP7rX/7XjLtj3IGLkTdwBy5xGMND6pR/Cyz9V/8z\ns0uzaPIEE58QvjGeai3H93/vqwy8ARdrF9N1FScxURzxZO1JzlfP0/f61KwadmCzUlghiRPyRn7q\ns44XLNu9ba6dvcbfbf7dI5OIdA3r2fS6zufmU4WfkT+iYBTS+3noD/mJuQfmVqcVTcfn+Mb+DSzN\nomgWOVM6g6KJ9zktaTs+tuPf49Xmq4I8LsmpP4UiKR8YZvv4dzr+XZqjJn2vT8fuTBVoIBK6xdzi\nqacZLaeF3/K5ULnAkXPEweBACBEkgYDpBB5KqOAEDovZRX763E9/JMneOyW/vlvs/3vlOHycpCnf\nyRx8nMb9OB7H4/hw42Ob4MuyTNtpp3j4h8NSLbpul8/Nf46KWeGbG9+kbbexNAtJknADl+9tf4/N\n7iaGYnAwFMnDvc49xsEYJ3AwVAM7sLEDm+3eNn7sIyMTWzFNvZmSO/N6njOVM+z0dkQSFMeESSis\n2xUDP/aZywusd8tu8WTtSV49fJXD0SE/PPwheT3PSmGFhfwC56vn+Uz9M4BwJv27rb9DlVUKRiEd\nz2Zvk5yWYym3xLe3vp1KRILQzs/r+QcSkbLCrDVLVI6wfRsndJjJzKDIiuiQFpcfzKkkM2vNcmH+\nAnEipDuDKKBtt4mJyRgZek5PFFWGhamaIqmPQuq5OjVLyIp2nA6yLFPL1DgYHmAoBvP5eZzAoeN0\nCKJAFDBWiTAJUSQFUzV58eDFVC9f2pbQFI2BP0jJt24gDMRsX3AS/MhnHIxTomUQBcjIJCQpP2Di\ndQBC3nGpuHSq8hC8OTY1iiMOx4cAaTFTz9WJk5h73Xts97cJ45CyWSajZfBij9e7r1O1qpxTz6Xv\noyonb6kJ7t9QDPaGe2mX2o99DM2YInQC6foAYTAWxiFZPUvH7dC81Uxfs53TIVwAi8CFJIGdw0fO\nRUbN8PLhywy9oTjx0bIpSfxi5SIr5ZX09GMydxM42yQBfViytKAXeG79uUeOCx4ksxNIjIzMUmGJ\njtPBizxG/ghDNSiaRTrDDpZicblyOf37hwu1KBEk+YPRAbZvsz/cp5KpULEquL7Lk7NPCijWKcn5\nw4mfIgkVpOaoSS1To56rn+icfxCY7dRk7hhPxFItlovLhL2QveEeN1s305PBSbdWQjr1NGO1tMr9\n7n2+s/sdikaRrJ7l0swl2k6bre4WtUyNBWWBmlZjubic+mV82PFuyK/vBvv/qK73Zm+TolF8S47D\nRncjbSTFSTyltOSEzodO0n27c/BpIhc/jsfxON5ZfGwTfICqVU03sknESUzLbrE/2sdSLL67812W\nCkv88tO/zE5/h7/d/FuB99ayrJZWORgd8HrndXJGTjiwKiqD4YCuK/DCt1q3sBTx/hMMrB3Z9Lwe\nXyp+CTd0yek56rk6jWFDwBoQybmu6KiKmiboE1fN263b9N0+M9kZZjOzWJrFd3a+gyIpBHHAYn6R\nWqZG1+1SNsvM5+fp2l0iIvzQZ7mwzMHwgBuHN1gvr3O/dx8/9InjmDttYUp1q3ULXdVZK6yRSEkq\nsTkOxlybvwbA3w//fookeDwSEuZz88zl5/iPd/4jbuAKB0urgqmYKSymaBbJaTnm8/MEccBcbg5L\ns+i5PfLFPPd696hmqsgInfSBN2CxsEhGy3Bp5hL3Ove4vnCdxqghEhNvxJnSGapWlaE/JKfnRFLn\njlAVlbycFx4HcYypmnTsDpqqMWPOUDbLvHL4CgN3QN7Ms1BYYKW4giqp7A/3KRmlE4pCx+NRXbwo\njnix8SJls8x6eR03cvFCj8PRITv9HQ7Hh4RxSEbPsFZa43B8KMjRoU2URPT8HgW1wMAf8Gx9uriQ\nJZmBO6BslmmOhazrhBTd9/pULMEL8SOfxrgxRay2QxskUknXoTvk/YrGdoM/+pk/AuBX/79fFeZS\n/hg/9PmJlZ9gtbTKamn11K7o8QR0EoejQzp2B13R3xLLPElmJ5CYjJ7B9m0+U/8Mu4NdNrobZPUs\nVanKnDXH5yufR5cfJKAPj+dgcMCdzh1k5JSjUzAEdO+2d5uSVUoL3UnSNoHwTIy+/MgX/IE35v9H\nzR+xWlpN4VgPx/utVDL5To1RY2puZUlmvbSOJmsM3AH32vdYKi6l3drv7nz3VCz2XG6OO+077PR2\nmFsUyevECfuzi59lpbCCc+Awq8+eEAV4P+LtwkI+LPLro7reM9bMFJTptO8RxRHf3PgmkiSdWPOT\nwvzjStL9NJGLH8fjeBzvLD7WCf58fp6twRZ2aJNRBTzkpYOXOBgfCCt7SyTJYRxyZB9RMSs8UXtg\n97433KNgFFLya9tuo6CgKiodt8PeYE9ASQwBBWmP2/TcHmEU4gQOt5u3+fknfh4JiVE4ouf0OBgd\npHAgXdapWTVmMjPYgU3FrAhSruRjamba6SyaRQpGAS8U3cmJjKQXeqKTmZllNvMAeqTICpqiMfSG\n6YavKzqbw026ThdLtQR8KHR5vvE8iwXBMVBQpjbrrJ5NJSofDkVSmMmKpPmLy1/EjVxBXHaH2IGN\nJmusl9epZWpYisVTs0+lXduMmqEdtymbZbFhS4pIDiOfJEmYyc6k6jqTRKg5amKpFuNgjCIrfGX9\nK3xz45uM/BGyJLPZF6cWuqoTRAH1XB0ncLA0CzuweWXwChdrFzlfOU/bbYvTFSQawwZVq4oma1Qy\nlSnXYphONPzIT/X0z5TOpJv6/d59JKR0oyvqRW4ObtKxO7zeeZ2xP+Zc9Rz1vOjo9/wefa9P3sij\nKRp9uw+xkEh9ZumZqc+Pk5iCURCutG/IuoJQO8rreSpmBV3V8UKP5qiZnmaMgzEjb8SRfYQbuIx8\n4XfwQcS//a//LZIk8dlnPssf/r9/yEph5ZGb/vGCBUTHue20adkt7nbuMp+dJ2fkmLFmOHKOeKnx\nEqqicql66UTBMIHEFPUiP9j/gcDi5xY4VznHV898FSd02N3YZTm7PDWGhwu111qvpcm9F3rkDNGh\nnfz/VuvW1EnWxNHXDV3yRp6n557mOzvf4dXmq5iayZnyGeZz8+T1PHc6d05VxnqnsIa3Sngn32ly\nnxwPL/K4XL/MYn4RO7CnTqgeVWgokiJO+rKzgh/0xknLcbjRprPJrD576t+/l3gnsJAPU/LxtK73\nt7e+/abXUpEVtvvbOIEzJeAA00pL70Ri9MOMx5Kaj+Nx/NONj3WCv1paJSFh6A9pDBu8ePAifbfP\nQmEBS7WoZWqii6J2WSmssNHdEDrliMTj1earjP0xu6Ndkjih5/QomSX2BnsMvAHtcZu18lqK85Zk\nSXTds7Ncql0ijmMyegYJCUVV+NrZr2EHNkEccOPgBruDXYIo4GB0wEpphSV9iY3uBmcrZ6lmqox9\ngS0/GB2wVlqbkrMMooDmuMmTs0+mP3NCJ5WSnCTDkw1/Yuo1n5+nZbcoW2VM1cTxnbR4yem5VDkH\nhCrIRnfj1LnN6Tmhc54EhHFIyShh+zY5I0fOzRFEAXZgc+PghkiC5p9mMb9I0SyyUljhfuc+93v3\nORodoavC9n4+P89sZhZDF+TTrd4WQ3/IjQOhxLNUXEqTflVWKRpFHN9ho7fB4fgQNa+SkDCbncVQ\njZSwPPbGeJHHPz/3zzEUAzu0hSKO22MUjyjoBb608iUWC4vsj/Y5WxVE2ocTjYyW4dr8NTa6G7zU\neIm14hpdr8uto1vUc3VuHNxg5AtS7nJhmeXCMpoqTL3cyOX19uvESUxGzZBTcyQk4uQhUPl8+fNc\nq187FeowMde63bpNTIyCQiVToWpVcUN3mnCbmeVofESQBOSMHBk3I8zUhhG7g9335b46LZIk4YXv\nvcBXzn6Fb9371iMT/OMFiyqrvHz4Mh27w8Ab4EUekRWx19/jhf0XWMgvUDbL2KHNwB+kCd5CboG9\n0V4qTblcXGahsEBj1GCzt8mMNYMXeqwUVsiX8oJjcCwehlu07TZFs5hKxJaNcvq7hmqk8LZJtOzW\nlOb9kXNE0Swyl5tLyflzuTlBvD/Gp5nEO1UqeTsJ7+Q7jf1xemID4pkwMUCbvNfxeKtCo56rpyd6\nD8ebyfC+l3gnsJCPWvLx7SjS7A52U77IwzEx0SvXyqe+/lHHRz2/H3Z8EgjFn4QxPo5PR3xsE/w4\njtNNb+KSmu/kWSwsTkliKijYoc3QH3I4OuRc5VyKY51s/GdKZ+g6XV5tvkotU0NKJPJanqNESEwm\nSYIma1iaUC5RJZWiWWTgDvBjn8XcolCmGOxyvnae//Daf8BUTM5WzxLHMWWrzNgbc+PgBvP5+XRs\nd1t3WSwsstnb5HB8KLqCb3R9h/4QL/LSrtDxjXzCF5io8ACpvJ2maHSdbqqUk0gJpmpyMDzgcv3y\nVII/lxPvNQpGgijqNumHfZrbTXRFF6RlYxY/9EUH1RvTcTsU9AKVTIWYGBmZIAr4zs53+Oz8Z8np\nORbzi7y4/yK7g10WCgscjg7RNZ2hNxRd9XGDvJHHizzOV86jKRqb/U1utm5yvnKeje4GeSPPuco5\nGuMGhmJQ0ksC15qvM/bHOEOHWqZG2SxzJB0xo8zQ8wU5tZ6tU8/W0+/phm6qHHE8ATot0VAkhfXS\nOnc7d/nB/g/IGTmGwZBCIEyADkeH5HQB55p0bScY9YlbcM/t0R4LV+P50jwzwQxXq1enYCTp58lK\n6m57sXYRXdVp2226tuBr+KFQK5qQeRMStvpbuJHQLkd6QCT2Y5+f+79/jjgW/AkJiZv/5036m/0T\nJNt3G3EU8y9/8V/yw+//8JGbzaXaJfZH+/yXe/+Flt0ir+fT++du5y6NcSMlNV+oXkjlZRfzi4yC\nEQlizR7HQyuSQtEs8szSM1Md3sH2gJjpRPRhuIUbupihmToot5xWer8AQmbyjRgFgrB9fE0cV0qa\njPUz9c/Qdbr4kT91CjYKRuiyThzHb1tW8e0mvBOH6ompnyIpJxx1346L7+Tk8NWjV8VJin0EQMks\noclaypeQpEdob77HeCewkI9a8vHtKNJs9bZOSKgej3Ew/thKjH7U8/thxieBUPxJGOPj+PTExzbB\nf/nwZZ6efzrdyL/R+AZRIjDq1Ux1ShJzsilPyJYTWMukEyZLslDDyM+xVFjCj3yKZpEj+whN0YSq\niSokMyenAyDUO+607vDSwUt8dv6zLBWWCMKA89XzGKqBrur03B5Dd0hz3IREfNYELhMnIkFeK63R\nGolkLogCIYspLQgZxDd02WuZGhISLx++nOKJL1QfyLZNkhxZklnIL1CxKnScDqZiMvAGJEmCG7jc\nOLiRkh7zep5/tv7PSEj4m97fYAe2UOcprzOXm2Psj+m7fc6WznKzdZMkSSiZJWZz4tj+cHyIG7rU\nsjV2e7tcn79Oxazw5zf/nO/tfC/t0O8OdoVHgWIgJRIlq0Rez2OqJuuldTZ7m+n38GIPWZKF/vn4\nFcFJKC5SMAWEaeAKc56EJCUXK5LCTE50dXtuj7w+reIyKYJgWjbwG3e+IdSRjpFASQSGfH+4T8/r\nsVpa5Wh8RMfpsD/cZ7W0KojHTlvAphJBhm3bAoaiKiqmIpLJTqvDv/tv/t3UWJrNJjMzDxx1j2+w\nM9kZvr/3fRSUlFAdxiF32nfEKZGssD/cZ3e4SxyLhN9QDHpuj3OVc3x5+ctsFja5275LLsnR9/r8\ni//9X7A32CMex3zz1775nu65SRw1j3jh4IVTN5tJwSJLMhktw+XZy8RJLJL6WPgiOKFDySyx1Rf6\n+uul9fQa5bQcB6MDvrT8pXflgnpa9+tiVRROkw2zmhH8Djd0kZComqKIniRtNas29Z4Pd7Inpk+T\nk5fNrpDLVGSFxdwiLbuVnkBM4s026Leb8CqycKh+JwnZwwnqpLnRd/ss55bpuB2USIzHj4XL9+Ho\nkP3hPovmSejeo+KddB3fCSzk3cpevl/xdhRpFFmZklDNqJn07+3QxlTNj0xi9K3io57fDzM+CYTi\nT8IYH8enJz62Cf7E8GjSOQ8jocZSzpSpWg+S+0lESSSS1mOwlkkSbKgGR/ZRak40DIRB1rX5a4yD\nMcOMkMMrmSVUWUWWZO6077CQF8l+GId03S4vNV7i77f/njOlM0iShB8IMlwuJ7Dj9VydvcFeSpKb\n4KllZPJmnuXSMnO5ubQbeL5ynoyeYeSPpmzlK2Yl7bqPvFH6HnES0xw1U9MbP/a5Pn+dvfEeA2cw\n9dDY7G1S0Av8+PKPszfcYz2/joaGqqrp5xeMArIss1JY4WfO/wz/uPeP2L6NF3koKJyrnEsLqaE/\nFIWHLHO/fZ++1ydMQvpuH0MxMDSDsTcWHAJFoZqtcqV2hca4wdgfc7F2kaE/5PbRbZ6afQqArf4W\nQ28oCq/8Ej2/x2ZnM9V377k9VourWLqAY2XUDG3aOKEz1UmbzPMoGLGUW0o7JJqiYWombbvN7a3b\nqJJKTs8hy7IwFVOEfGQlU6Fjd/Bjn77bp2yV6dpdqlaVrd4WRaNIEAcMvSFFpYgf+ewP98lJDzbM\ndB3GERvdjSlN/Z7bIzIjkiQREp+SwOA7oUNGz5AkSUqeXi2tprAwWZIpW2Uu1i4KSdYkQpOEnOt8\nZh5ZloXJl5GjptX4Ju9Pgl+fqz9SGeQ4Vnwiv9l3+8RxjKIoZPUsQ2+I7duUrTJBFNCyW6k6z2SO\n3tN8posAACAASURBVI0SyqO6X9VslR82fshaeY2clkNBYa20xl5/j7bT5lLtUirzOSGmPhzNcZOO\nI3wWwjhkPj/PXFbcq2WznOLeTzMugzffoD/IhPfhBHW3v8vQHbJWWsMPfboHwp9g4vTdttsnCuTT\nxvOwS3DP7aVcokm8mZTlm8X7IXv5fsZbrcXJmp9A6Y6rRxX0Ap9f+PzHtuv6fs3vJwFW8kkgFH8S\nxvg4Pj3xsU3wf7D7A/ZH+6yV11gtiSRvPjfPwVCQXI9DKEAQ0a7PX6fttlMcay1TY+gP6Xt9FEko\n3Gz3t4WjKglPVJ/gR0c/oh23MWQDTRbwl4m501MzTxEnsXAClVXKZpkkTnBjl6ycRVd11kvryJLM\nrdYtoSSjip/boT1VYEzUUyYQmlEwSkmHE1t5VVbZ6e+QJAlRGPH8/vOQvNGVTiKORkcUrSJnymfw\nI2G81XbbjLwRl2ZEEnNkH9F3+xSNInES8w+7/0CcxKJQCU/iOCYPFV3RqViVVI1nEhERTbvJraNb\n6LKOjMwPj34oTlMin5whsOgZLUOuIrqzkiSxUlhhubyMPtJZLa4CwtF3t7eLH/pEROl3W8gvAEK9\nSJO19P8TrfR6tk5WFQ/FklFK5zejZlLewiQBSkimEsDN3iZBGKQk54PRASWzxP5wP/2cqlVN4UUD\nb0DZKhMRsTfYA+BK/Qo9t8eN/Rv4kY+EhKEa1HN1Ho6XD1/GKlpTD/EwDrnTusNrR68hyRK2b1My\nS0iJhIwMMlO4awVBsvZCjyAKcAKHglHg2vw1/jH6Rwpjodi0Wlxl6A0ZuAPuN+5PjWMPKM+XkBRx\netXebZMkydTrp8UT15/gj//ij1Ekhe3eNsDUpj6fm0eXdcb+OC2s+l6frJ4VpFU9z9gfExEhS4L4\nejA64Fz1gZToacZBfujTHDdp2S2iOEKSJeZyc2RGGWb1WTS0R3a/zpXP0XN7+IGPKz0glJ6pnOEn\niz/Jjy3+2FQScvxUJYqjFN5XMAq4octcfi5VSFkuLk/5UbybDfqDTniPJ6jf3vp2atj04sGLUwaB\nSZLQGDY4t3qOuewcr95+lXljWnXqtCJqb7jHzmCHvt+fIhw/qqh5p7CQd1PsfZgxKbqc0En9VOBB\n0bVWXvtoB/gW8V7n9+3ASoCPvAD4JBCKPwljfByfnvjYJvg3Dm/gxz6WZjH0h6iySl7Pk9NzDP3h\nAwgF0HbbrBZWWSuvscbaFI51PjfPgiQSOS/y8EOf+YIggwZxwNX6VVRZFaRNp5eqcNSzdV7vvI4T\nOlSsStoxNjWToTukUqrghR4tu8VsdjbtAmuKlnZ6GkmD5rjJYDzgSv3KCQ3rycNPkiS+sPgFbrZu\nosoqhmJwL77HOByL7+FH1At1DgYH+KGPH/qUM4LU9fze88iyTMWsiE63VUsTahAJp6qoFJJHqzxE\nccRqaZWXGi9NY3mJ2OxtMvJGQtfeLGGqJs1xUzyIJNIurhu45LQcqqzihR52YNMcNafgDwoK1UyV\ni7WL6f/bTpsgFMXPQn5BmEFFARERbuByoXqByzOXudO5gxM6U/O72dtEkzQKeuFU2UBZkhl5o7Tr\naKgGfbcvFHpCRyTXCPz3WmmNIArENQ8cwjgETRC9VVl0/i/XLzOff5AQdVvdE3PphR417QEEJEoi\n9kZ7eLHHbHaW1ZK4Nk7ocK9zj/PV8ymZOEI83PNmnoE7IIoj7MBmq7/FTHZGyPVtfpOSWUoLxYyW\noWAUODg6mBrHV4Ff+t9+GqMgCpEwCkXREHmUzBIxMT+/9yJ5I89//l/+M27XpTxT5jf+r9+gMWow\nk5nhtbYoSI6vif3RvsBxZ2dTN2Y/9FnKLzEKRqlmf3vcThPmCcQBHiR4x5MGUzG5177H7c5twjhM\nJW0H3oBXjl7hTOYMT88+fbrBVRwJeBAKDbfBrDxL1aoyn59/pMzn8S553+2T1/KM9XGqjDQ5tWq7\nbYpecapr/m426A8z4T3++RO99uMGgeNgnCaop5FsTyuiDkeHKVn6YcLxaUXNpw0Wcrzo2u5tsz/c\np+2003U2cU7+uHSy3+94K1jJZneTttv+yHHlnwRC8SdhjI/j0xMfWIL/rW99i5/8yZ889bXvfe97\nPPPMM6e+NonWuMV8YR5N0djt77I72EVCQld1LMWi63QZF8e0nBYzmRnytXz6oP3c/Od4/uD51JRE\nQuJi9aKQsIx8FvILVDPVlOy4XFgWWu6STEbJoGkabuiy19+jMWywUFzAUA1msjOsFFe427kLiISx\n43SYzYqkYnewy1phLTXLWcwvcq56TnSFjTJDb0jbbpOQULNqqYa/H/l03W4K0Zkk0BM1j77bp5qp\ncvXKVfb6eyRJQmvcIk5iKlZFKO+MD7F8i7E+Zk1bAwnadpv9wT5e6MEYVqwVVFVlsD+gNW7R90Sn\nP6NlSEjoO33utO5QMkuUM+K0YuQJVZkwDlPN9qJR5GB0QJzEaIZI8CfJqSZrxLLAj0dJlHZ5QeBV\nz1fPpxCbcqacJu1e6AHw1OxTxHFM025StsqEcciPjn5ELVNL5Ttt36Zslrly4cojNdZBKMPk9FxK\nSAZBuPRCj/nsPG7opr+rSArna+eJiZnJzpDTctxq38LxHe537zOXn6NgThdJTnhSttJQhZnVwfCA\n1rjFVn+LBCEd2hq3mCvMsdHdYLu3zfZgm9vt20JNRlHQJDGXJbPEyB+xP9xHkRVUWRXwJFfwAEpW\nKU3eACzNoqCdLOAOR4csF5ZxQ1c4MutZBv4AXdXJqKIwyOgZvvK/foX5/DzX5q6hSAqHo0NuHd0S\nhbWknjT2iRwWC4vM5efY7m8jSRIFo0ApKdF1uhyODrEDm93BLvVsXRRFCYzCBwne8aRhb7jHwfgA\nCYkojni9/TqHw0MqVoW+32ePPebsOTLFzNT3i+I3TKEin6yeZTG/yPWF6wy8AT23Bz1hzPVwN/F4\nwvaNhuBpzOXmWJAWUi7LhIxd1IvvGn4yiQ8z4T3++cfvvfT1N4j7jVGDu4O7BFGAruoUugVWiiun\nFlGTQuA4Wfp4nKbs81HDbt7vUGQlvY6LxcX0lAQ+/QTJtzq1euHgBebycx85rvyTQCj+JIzxcXx6\n4gPv4P/+7//+iUT/8uXTzWOORxAFJHHCzaObbA+2iaIIS7VYr67jBR57vT1Keokvr3wZVVbZ6G3w\no+aP0BWdWrZG1+mm7pUgOlf3e/cpaIWpm8uNXAzFoGyUOXKOKFklbrUF3KaWraFIglC40d1gHIxZ\nL62zO9hNu30dp8Pt1m16bo+MnuHJ2ScZeSPCJJxK5idynzPZmSkc62Zvk3/Y+Qc6XgdDMVBQ6Lpd\nZnIPiJqWatGxOywXltNN+GzlLJZqcbt1G1mS6Xk96rl6eqowCkYEYYCpmizkF3ip8xKveaIju2Ku\nEMahGL/b4dA+RJYFeVdXdY7sI/YH+xyOD3m6/jRZPSs60xnRmV7IL9C0m9ienX4XBWHiZakWJbMk\nXIHfSAoPR4fC9Vc1uFC5wJ226MZntSzz+Xnh0mp3GPtj5vJz/MPOP2CpVoptbdktXmm+QkbJ8LWz\nX3tkZxamE5yEhPXSegpRmEhcZvUs66V1nt97npcPX0ZTNGQEafR86Ty3O7fZCDZojITCj6VZSIlw\nR5aRsTRLFA2KceLz/+yVP0PJKfix8ATwQo+skU1PKv78tT+nYlbIG3kW84t03a7ofEchF6viZENG\nRpVVallBvLZ9O5Xpe6L2BCN/RM/tpQUXgKGdHMu5yjkCKWDgDdgf7vPM0jNoqoaCwsATif7AHbCQ\nXyCjZVLoha7oPH/wvOA/nGLsc6Fygc3+Jj2vJ+Ab/R1G3oi8mac9bmOpFs8sPYMTOoJrEDi81HiJ\nr6x/JSWTHk8aDkeHovh12qKDr+fwI1/gxiOX+6P7LOQWOMtZ9oZ7HI4OhW+F3UaSpBRqNUletwfb\n9N0+siynyeijkrAoidDQpgqY468PvWlzsXezQX+YCe/x8R2X3AVRYM9mZlMS7nxmnqyaRVXVdH78\n0CejTRdSxwuF44T249/vtJ99nGE37yb+qRIk3+rU6mB0wNnK2VNf+zBx5Z+Ek6NPwhgfx6cnPvAE\n//z582/ZrT8t8kae7cH2AwlL1cIJHMbemLbTJkoiBv6AFxsvslJcIatlMVWTjd4GN1s3U93zoT+k\naBSZyc5wtX6VGWuG7+9/n5ebL6eQkfXSOgejA3KGIMteql7CCR0MVSiYuKFLc9ik5/S41bzFQn6B\nOIr5zvZ3IIFMPcNn5j7D5ZnLBEmAJmsYGGh5bRrH2t+hb7yBY30DV7/ZFxKa93v3mcnOICPTttt4\nkcdScSlVDdof7Kdz07JbqSxbOVOmY3cEeRPRQd7sblI0i4AgkNasGk7kYMomfiiUaSbFwESTPooj\nIiLOV8/zxMwTNEdN3MAliAMWCgvUc3VadgtLtThTPiOUigIfN3RJSAT3QNHJmBnOls9SMkoUjILg\nOyQJBaPAmcqZ1Nzofu8+A2+QyhGWzTI1S0gc/uz5n8XSxEnG7fZt4iRmrbRGVssyDsfsDHY4HB1S\nMSvcOLxBY9QAhCzobGaWQTwQzsJvFGcTiIITOnx+8fP0nT63WrcIE2Fo1hg28GOfnJaj63SZz81T\nzVa5277LVn+LQWdAOxI+A4oiiHUls8Rf/95fn1i3rVYLyZEEljs3R3vQZqyNhXa85hDEAV7kkUfA\nzfpun6yaZRgPcQM3VX7xAo9z5XMM/SGXZi7x7Oqz3Di4kZ5Kte32VIJfrpb5uT/9Oc7XzpNRM+iq\nTpzE7A/3sQNbqPF4PSpmhYE34PLsZQGjspv4oZ8qUE3WqiZpJ2Q/LdVi5I+EKzOC8J7Vspwtn+V+\n974wltML1PN1cmYOIzSIk5izlbOsllbT7jmchJL0vB5hHKIr4jOPnwg5vsOhc0jVrbIz2ElNtnaC\nHUAUyfVcnYX8QqqgVTErU91mUzG5373PRneDmlXjXvceRbOIqZpThcbEmfRRspTvdoP+sBLe4+Ob\ny87Rdbo4oZMW2BJSytFRTZU4Et35SZLacsQJ0fE4Xig8bPj1T6nr+E+VIPleC9APC1f+STg5+iSM\n8XF8euJji8FfLCyys7+T4rqTJGHkj/Aij3EwZiY7w95oj/u9++wOd1nMLVKxKtzv3CdKIpFcGlnW\ny+upxvx6aZ1Xmq9wtnIWWZKxA1so04yb2L7N5ZnLvNZ6jXq2TpiE2KGNGwqHV0VSGPgDwihkvbKO\n4ztcmb1CLVNjIb+QJgU6Onc7d5GQUtMtEE6uZbOcOh8u5hfZG+xxt3WXnJ4jjoWkpq4IJ9fGuIEm\na9TzdSpmhYPBQdpt3hnssFBYSOVCj+wjTP0BSXOieKEpGlVLQI9MxaRm1Hh9+Dp9t0/JLFGxKiRJ\ngqmZKdSobbe5Nn9t6hh+LjvH/nCfje6GgHu8kdRrioYXeGSMDIvFxRQPXsvUuDZ/LSU3Phc/d+KB\n9oXFL5z6QPv21rfTDqIsy0iShKEIs6Kd/g5323c5Xz1Pc/iGf4EmIDsTUmxezzOXm2OtvEZCIuZM\n1gjigHq2zuWZy8RxzKEtJECd0EFCYsaawdAMNvubzORm2OxtEiOMzv70V/70ba/b3/yNv+ZR4oNW\n3WRYK/A//k9PYvs2MTGGbHCxdpHmSBSQs7lZem6PgTfg1tEt1svrPLP4DIokXIprGXEa1Jf7KVlZ\nQeFM6Yxwc7YqjIOxmD9JpmpVRQc3gdaoRVbNUjJKXKpd4kbjBmulNdp2m8awIVyGJQUJidXy6hQp\ndxJ2aNMcC/hUEAcpKbtslRluDMnoGVE4DJuUM2WkROJHzR/RGDZojVtTMJlJyJLM0BuS0x8kzMdV\nsnRVZ3u8zRfNL9L3+ynBOk5iLM2i7/XJ+cLk7YeNH6Yd60m3+TiUR0ISJzKSIFSP/Ae6+MedSSea\n/afh4x/eoCUkJEmctEycUT8qhZGHx7eUX0o9E6qZKjePbrJWWmMuO8e9/r0pj4GclkNCYhyMpxLZ\nSaHQdttThON/al3Hj5og+VEp2bzVqdVx75XT4sO8Bz4JJ0efhDE+jk9HSMlpu/j7EBMM/uzsLO12\nm0wmwxe/+EV+93d/l5/4iZ+Y+t04jhkOp4/Cf+2vfo0fdn4oFEsUAyd0CJOQOWuOntdDkiSCKCCj\nZdAkDVM1ieKIvt9nMbvIUm6Jrtslr+dJkoQgDihoBUzFxNKsE/CKO707zFgz6Xuv5lbZGm6xZ+8x\nDIeM/bFIlmSLpdwS9wb3qBk1LpUv4cc+VaPKrCWIbDd7N5GQeKL0RPr+r3VfS5VS/MjnidITfPfw\nu7iRiyZrHDnC0MuPfIbBkHEwpmbWuD5zne3RNpZiESFIl17kkdfzqLJK1aiKBDYK2B0LtZ/d8S6X\nK5cpaAUGwYAj54ie26NqVRn4A4p6kTPFMwBsDDbQFR0v8jhTOIMbujxZFu66TafJzmgnlYlUJZWb\nvZsc2ocMgyEyMgW9QJREqJLKan6Vs4WzPFV+irnMHEfOEQ2nIeQhJYk5a465zNwDHLDdOPH63ngv\nTfRu9m6iyRr79j5hHKLJGn7kUzJK3B/c59A55InSE1PXchyMsRSLqlkljEOO3CNiYmpmDV3WcSOX\nO707dLwOZaNM2SyT1/JISGyPtul6XUp6iYXsApqskZDw9f/+62973d8CLr7J69uzFv/D732eWWs2\n7VhXjAp1s85LrZd4ovwEmqyxM9qhZtWwFLFW1/PrNJ0mrw9eZ3e8ixM5rOZWKepFSnqJYTBk4A+4\nULzAy52XUSUVSZLS17t+l6bdpJ6p03JbLGeX2R5tM2PNYComM+ZMun5f676GEzkcOUdcKF2YGv/m\ncFMQdbXSlNnY5nCTptMUfhOZOQ7GB8xYMykJ2498ZGTqmTrL2WV6Xo9ESljKLtF0mvynnf+EHQqX\naCdyKOgFqkYVXdap6uJafnX5q8RJTMtt0fE6bAw3MBSDol7EUiyeLD85dZ95kcel0iWaTpO218ZQ\nhFTkpGgEodQ0IQe7sZs+K54sPcl8dp7L5csnutbHI0oibvZu4kXeFJzJCR0MxeBS6dKb/v2HHc8f\nPZ8W0MdVtVRV9HqG/pCslj3xfcbBmGEwJKtm6Xgden6Pkl6iZtZYyCyk9/WnOV5ovXCq0dUknNDh\nczWhKBMEQfpzTdMe+bx7u/P28Dqb3AcH9oHgi+TXP7Dr8FZrvKAVOHKPTp0bJ3SYs+ZYzL59z4W3\niofn9nG8f/F4bt//kGWZlZXpJkg+n08NXD/I+MA6+MVikV//9V/nueeeo1qt8vrrr/MHf/AHPPfc\nc3zjG9/gp37qp9707/3Yp2bURNc+9NKE15AMVFTcyMWNxGadNbMCs0+CH/upqoYXe5T0EkigKip3\n+ndYyCxQl+qoD331il7h0D4USV2cpEZDK9kVYVeviI76wB+wNdzCDVw6dGg7bUp6SXRPNQGZ8EOf\nvt8niqJUsq/rdZm1ZkVhEgaEodDWz2mie59Vs2iSRi/qYckWruSyP97ndfV1FEmhalVpuk3GwRg/\n9Nkd7ZKQUNWrFIwCeVUUMsSwnlsnr+TZHe2mhNaKWUGXdezIxnM9VrIrSJJEkojvmsQJURQRx3G6\n8ZfUEre8W8L5Vxd8g5E/wlRMilqRklGipJfIKlnCJOQLtS+wnFvGj32+tfstmm4TVVaFf4Fexg+E\nFOKF4gXu9O8QxIIjMNH13xvusTHa4GLxIrIkE4Yhw2iIF3joinAPTZKErttNT1OcwEnJqQCWYnFo\nHxJHMc/OP5tuhG2vzd5oDzdy6Xk9akYNTdHou32Oxkfoqk7H7dAP+nTcDkuZJeL4pMrIew2n6fDy\n//EyX/7tLwvpVrWEG7hsBVuYislTReERUNJKdLwOmiQgKvvDfUbhCNu3yck5KnqFOBIGU41Rgyvl\nK6xmVslrea4Ur9D1uuiqgLvEcUxOznHbu00QBcxb82iSRkWvsDPcoaAVOJM9k173JE7Q0CipJWzP\nTgnKAI7voMkapmLSGrcYhAPiJObQOSSIAkzNpO+K0wUFhSgSULrN8SY5NYcTOsRRzNnCWe7279K2\n2+iyjhRLItFOQkzFREKi43SwVIuCWqCgFdLxVbQKFa1CQS2k3BUndAjDMF3HXuRRMSqEYUjTbmIo\nBlEUideTKL3/VVS6Tpeslk3v+TiOiaKIMAgJgoBYevQ62BvvYXvC7Oh4wqwkCpv9Tbb6W1TMijBb\nM2anErA06XMbHLlH9P0+Ja0k1FnM+Q8kWTt+fx+Pyc+kROJc9hwNu0HTe6D3PmvM8mThSe7071DV\nqixaDxK2veEezXHzY1fMvN9RVcUz+Lik7SSc0KFu1qcSpEm4vsvN3s1Tn3dvd96OrzM/8NkYbRDE\nARklgxd69N0+SZR8YNfhUWtiLiO69227zdAdnigAdFmnqlVPnZf3Iz6o930cj+f2/QpF+eieiR9Y\ngn/t2jWuXbuW/v/ZZ5/lF37hF7hy5Qq/9Vu/9ZYJft/vY8kW6JBJMuiyLo7QY4dRNMINXXRZJ6/n\nkSWZSBJH5RMsqR3bZNXsVJWUkJDTcoyjMXlj2uylYlXoB32yWpZhMERRhHxlSIipm8zJc3S8DvVM\nnapZ5cAWKjKjaITruVT0CqoqFEeOvCOiJMLSHzzs+mGfbXub9fw6qqqiqiqyLCPLMkEcUDErjMOx\ngC8kChWjQk/qMQgHlIwSO7Y4Ir1SvcKBfQA2tJwWG+MN8kEeO7TxQo+qUaVslel4HXRFp2pV6ft9\nNoYbjMMxo2CEqqgYskHZLCNJEuNwzGxmlpCQ2cxs2s1zQiclWna8DtvjbZCgalbT4/xRNKKWqeFF\nHnfHd1ktrfL9g+/TDtpTWN5+1MdJHOpqndvD2yRyMgXJAMipOfJ+ntf6r2GoBrvOLh2vQ8koYcgG\nYRxSNsv0vB5u7GJpFnZkU5KnMcM+Ph5e+j0WtIV0zg3FYGO0gaEZJCTYgS0IwYnQbC9KRXZGO7SD\nNjPmDNJkN34fo3+3z1/96l8BoGd0fuX/+RXu9O7wpfqX0jHPZeewY9HRzhgZduwdSkaJxfwidmBP\nSYFmlAxPlp9EkRQaToO53BxO4uDHPoYicPCbw01hlkZMJ+gQEJDX8uS0HKNwxI3ODcpmmapRFVyH\naMz1ynVabouN4QZ9vw/AIBxwpXyFA+cARVbS5F/3dcIkpOt1USQFQzOQZImW22LgD0CCerZOXsuz\n5+5h6RaXqpd4rfsaLU8oYTmJQ0wsijC/J4zJtFwKFeoEHdpeO+2AFrUidmSza4tiV1M1YWIWDino\nBeayc8LFWpZRFAUv8pjJzND22ulDt+t1ieU4JeqC6PyvlwS0r+k303k9rfPaDtvkzOl1PJnvgAAJ\nKeXDtMM2o/GIS6VLANzu3U4/IyCgZJXwIo+W30JRlPR3389kbTG3SMNpnPDFUFVV6LznFjF1kzVd\nSA4fj73xHrEcn3rfOqFDO2i/r53aj1ssF5cZJaNTO9lZI8tycTm9VseTo3bQfs/zdnydNZ0mISFe\n4tG0BVRx393n6erTZKTMB3IdNLRT18QkPjPzGRp2g0PnMFXdWsovfSBF6qe5y5wkSZobPPJ33mhk\n+pGf/kxXdNEoeY/71XFAhyS9/3vfpzHiOE7/nTZnH0an/lHxoWLwS6USP/uzP8vXv/51HMfBsh59\n3Pljaz/Gj45+hB/4hGGIrulUc1VkZBzZIXRD8nqecqGMqZgEcSASZbVCY9hAMiTWZteomKKr7oYu\ns9os189e52BwQDVTPXGkOBvMktNzbHW3yBpZKnqFudwctUyNb29/m0q2wlppDQCv77HT3yG0xNF+\nLpvj7NmzNMYNlpIlTNWcMo1aSpa41b5FIAVcX7zOYn6RTXmTlt1CTwR0ZOyNyVk55vQ5/MhnLp4j\nr+fpe8Jd9fLsZdp2m8AJUF2V/R3R1Q2iAFVVyRpZMmaGUr6EKqmpmlCohJT9Mr1BD03RyGVy7Ef7\nPDX/FCNvRN/rszCzQM2qcaFygSPnSGjMKxpGxmC9ss4Xs19k/Oo4TVYAYmIOR4e4pktExK63S7/Q\np9vpouoqY8bIyFQyFZasJbzIo56rs93b5ovLXzxxzaM4wjvy6Bx1WKouUfJL3Ni/ga7quInLSmmF\nM+UzvN56na1wi9nsLIZiMF+eNusZtobM5Ga4cP4BvGR0MKKqVsV17s1SyBeEC6yeQ5M1UTzoZSG/\nyhgrb2FmTSpmhd/+y99mZ7CDJmmslddojVv8m//u37zNVf/m4ds+X/+lr/OLf/aLXL1wNVX7kSWZ\nK/UrJCS07TYHjQNW5laYzc2eUHoBsAObLy1/iRcOXsAJHc6r54UXw7DBraNbeIbHl9e/zExuBgWF\ncTBmf7jP9aXrAnc+arBYWSSIAi7kLzCXncOPfcJ+yFx2jkIgNO2zQZaBNEDXdeG9oL3hD+EIf4QJ\nR+N87TwARbdIv99nLbPG+dp5ZEm4786WZinlSpwrnEuv/cHwgK3BFrIkp2Tb3cNdoiRix95hdWWV\nCxlxTeMk5lbrFqZuckG7gCIrlK0yXuDhxi7X5q5RsSpEccTmxiYdp4OqqJhFk2VpmTiJyWpZ3JZY\nV6u1B/4E9VydxfwiURLxUuMlnqg9wVXtajrX42BMqIZcnb9Kd6t7olmw099BVVQ8XygIjXNjZnOz\nnM2dxQkdygVBEl4uL9NzeySjZOpZZIc29VydolmkXCi/r1jdy/HldI3sb+4ThiGqqrKwJly730zq\ncbA1oK6dNHdLxx3YXF29+sjXPw1xNb76tnDwL7/8MkEQoGka+Zn8e5637saDdTbYG6CNNYigqIrn\nsRM6ZEqCXJ8tZLm6/um9Dsfn9urVT8/3dF2XZrPJ4uLiI7u+SZKk3MHj6laT/2e0zHtKzG3bThsZ\nmUzmrf/gcZAkCY7j0Gq1mJmZOZHXngZB/7DiQyfZTirEt1qEZytnUVWV7f42XuRxND5ir79Hmnch\n6wAAIABJREFU3siT1bIsFhaFPKTbwws8ylaZWqYmuuruiLyeT0lzCkIu89mVZ/FDn6JZRFd10en3\nbTpOJ3VNvTZ/jd/84m/SGDf4wd4POBgdpLhvTRHdgv2h0JavZqsgieLhVvMWfyH9hSDmFVeomtUU\nHgNCwm+1sErbblPQCwy9ISuFFbZ6W6kMZV7PEycxt9u3IYHn1p5jZ7DD/mifnf4OLbtFRs0wm5vl\nXvcefiI6tKZiUs2I5NUObVp2i7yeR7Iltnpb6JrO0fgoxcwXM0WO7CPutu7y1MxTLOWWmM/NUzEr\n/M29v6HlCvOuWqaGG7gcDA/oOt0ppZWYNxRafJv5nEiwvdDjG3e/wf5on4vVi+kDqGN3Uvfh5qhJ\nGJ2ECAA0xg2COOBM+QxzuTkOhgckSYIf+RSMAgW9gIKCpVnktBy6op9YR17oYWoP5iMd7zFTn/nC\nPGESCmlTVTzEoiTCD316bo+yUWbkibVh1AxCK4RQaOjftG9SzVT5nb/9Hf7g5/4A3/Z5r5HECf/+\nv/33fO35r52QpRwGQ/L6dAJ5WpNmkmwcJ1gW9AKO6fCF5S/QsTvkDbG+mnaTe917tOwWbbvNmcoZ\n1kvrXF+4DgjiXD1XZ6e/w2uHr5EgEtCFwgJls8w3N75JGIVCZUdCKBGNGhwMhZb90B+mWv45PUfB\nKHCheiFdDzJyqqmeyi5KkDNyZLRMWiTIkixkV40SrusK1aM37qmW3UKWZNzIxVRNnl17Nu0UDrwB\niqQw9IbcPLqJG7pUrAoLhYUHxc1on/ncPE7osFAQ3fsJGX8uK2AHjVEDJ3DeVBbx4WQ4iiP+ce8f\nUxdfCQlTNYVCjysUenYHu+n73G7dPtFoOK43/26UWd6KjDlZI/fD+0LuFeNtqXh81CTTj0O8G4Lk\n+zFvx69Ly2mlzujp6yhYqoUd2uwP9097i8fxMY+jo6M3Te5BcJkeTu5BnOTGSZzKCz+ODy8mxdD8\n/HxaoH1c4kNN8LvdLn/913/N008/jWmexDEej4yWYa20xtH4iCAK+Oz8Z9nubQtSraJxt30XSxey\nbQWjgCYLs6ShP6RiVThbPcuTNUEWnWzcFyoXUkfUC5ULfGfnO6nbqqEaXJu7RtEo8srRK3xu/nOs\nFFfSblcQBzTHTZojobgTJRG6rHO/cx83cIXyThxiyAZFo4gsy1TNKs1xkyP7KJWmy+iZVMd9o7tB\n3+vTc3tiHMSMvTGmapI38uyN9gSx1hcwksPRIQN/wLK3zN5wDwlJqJ5IEnZoC5fbWEgeNoYCqmFq\nJivFFeyhjS8JAm/iJlQsocX+tXNfE+663oiu26WUKbFeebB5daQOW70tVkuryMipaVTP7WH7dqqN\nb4c2A2/AwBvQcToEUcBScUnAa1QDL/RoO22yWhZVEctuYrgzSfTude6lhikTo7B6rs7No5vYvk1j\n2EC2ZX7na78ztVZ++y9/m2xJFElxErNcWGatuDb1O5MH4jgYs1Zc47XWawzcAUOG6KqOHdrMZec4\nXz3PYm6Rw7GQTJSQqGfqwuU48iiYBYIkYLO3yU//0U/zl7/6l+/pnjge/+pL/4rVy6v87h//LiAK\nnqE/xDM9FguLJxLF40ffx2UdjycgE1WiG94N4iROE/vN7iayIrPR2wAgr+f53OLnUCSFnJbjYHRA\n025yoXbhRAK6kFtgf7TPvfY93MgVnhOKuA/LVhlLtYQso2JQy9QwVRNVFtfcCz0qGXGqNsHyTgrH\nnts7ocixbW8zCkcUdFHg1XN1mqMme6M9MkqGhfyCMAo7NhcFo4Ad2KwWV5Flmc8pnxMqOqEwkstq\nWeZz8/iBjyRJWKqFG7ondPCbo+YJTfhJTGQRH1YYaYwb+JFoIrihmxaak+SrMWpQ0B/4YMRJTESU\nmu5NVJFM1SRKonecNB93CH4zV9H18jqD2iDthL6dhPWxC+e7i/dj3o6vs57bm/JSOb7OMmqGttN+\nbwN+HB9ZvBVe24/8Uw3sQOxxjxP8jy40TftAeHvvJT6wBP+XfumXWFlZ4fr169RqNe7evcsf/uEf\ncnh4yJ/8yZ+8rfeYJO95I0/NqnEwOqAxalCySsiKzMHwAF3RWS2vsphb5Mg+AsALPPb7+2S1LDPZ\nGeEI+8bGvVxcZl1aZ7u/jSZpXKheELCH3AOs4HHTkkm365XGK8xmZ9kZ7OBGLrqi40QO9WydslXG\nCRzyRp6RPyKrZVOXU0M1mM3OsloUEAA3dNPN1vZtri9cpzFu0HN7qIrKbrTLYmaRJBHQDEuz8GPR\nJc5oGQbegL7bpzVusZBfQEZmHIzxIg83dLE9m67SZeSP6Dpd1svrdN0u+/Y+JKDKKlIoUbJK9Jwe\nrzZfpWJWeKHxAl2nS8koEcQB1UwVBYWFwgK3Wrdo2S3KVjklPbfGLTJahpJZSrtGqqSm6j5dp0vP\n6dEYNtIEcTKnz60+x8AbsD3Yxg1cxsGYjt1JvQLWK+tcrV9FUzQWcguCtPlG5+KscdJQZeAOCL2Q\nqllltbzKSmEFVVantMrruTr3O/fpucIQ7FzlHLZvpxAYQzaYz84zk5vhbPksl2ZEp9UJHbb722z2\nNilbZdxAuN+GScjAG5wYi25o4L07clLoh3QOO2z2NslpOeEyqujsD/aFWVnjJSzVwtIsSnqJpeJS\nul4fpUX+/7P35kGS3Nd95yePysqqrLurq6vP6bkwGGBwEAcPkBQpSrINMmTJMh1iOLhrS2RsMKzw\nGhuKjWU4qDWpoCRzY23RXoWXXhM85LAhBmHTESRISWGTlEiCBAiAGFxz913dVV1VXVdW5Z25f/ym\ncrrnwgCYAYfivAkEZurK61eV3/fe932/Y4BYyVR4sf4ia701ZEkWkq6yhhM59JweQRSw1d+KPzMI\nRfI1kdrbCQkI2La24/O7UFigmq3SsTtxYmpoBtVMlZ3RTsw7HjsVj6VbQXy/M1oGJLG2T7VOxTen\nsXztwB3QslqUU2Waoyb3Tt8b02d2m9hd7rjHuuVBGJBP5jnROiHM56SIsl5msbjI+297P5vm5mUl\nAIfucE+ye7ltXKyL3zAb6KouZoRUbU8naVyZL5aLez5npbuC5++tyHadLidaJ9iX23fF7V8ubqQZ\n0y0XztcX1+O87V5nhWQh9mm5eJ1ZvnXJd/ZW3Ipb8fMZNwzg33333XzlK1/hc5/7HKZpUiqVeNe7\n3sV//I//kQcffPBV339m5wxDf8hafw3Hc+hlhBb9RFoMkfbtPn7oE0WiWt0ZdZjKTDGfF/zaidQE\nekInqSZj8G56gjJw//T9PLn+5B6d+t2x27RkXO36wG0fYL2/zo61g+WJH9eV7kosMTlhTAglnyiK\naQQnWyf3cP1H/ohqphrfbLcGW9xWvo3Z7Czv2vcuGmYDENW+le5K/OM9k51h5I7wQx9FVpCiC5V7\ny7fwAk9wjwMbVVFRFAVVFkpDZ3fOYromUiShKirR+T9du0sul+P0zmlB5fAsMkkxcLmytYIqqeK8\nyQqEsLSzhB+I7fuhT9fqkslncH1XKLMY52k6oUNgiYHn1qgldMJTEvlknqE1FMNAikbdFNes5/Ti\ndrMsyaSTAgT96fE/5a7KXQIQpieQJImN3gamY15yvR4+/DDZYjamIsxmZ1nvrfPM1jOxCVbFqKAp\nGgW9QFbLYhQNgijgbPssGS1DOV2mZJQ4WDwY88TvmLyDp2tPoyd0bpu4TQxAjloM3SFO6JBL5C7Z\nF+nIHO4QIdG5tY1tO3uer73Kui9NlTBdk43eBpVMRay1RJL5/Dx+5OMFHqZr8hdLf8E9U/dg+4Ki\nMpeZi+kYF0dtUGNrsMWPaz9mFIyYTF9wSQ6igLSWppgqcqJ1Igb4V6oqtkdt0mqa5rDJ0BuS0TJs\nDjZJq2nc0MV0TCpGhcn0JFEgnHx3rJ24slQxKrSttkgOkwUWC8KvYNxlc3wHRVZ4ufkyQ2+I5EmM\nghEAS50l/tvJ/8Z8fp6lnSWmM9OU0+XLDvEpsiLM23Zp4M/n5uO5GMu36FpdFvIL7Ng7lzeuSqRi\nus7lYqznv5sWNXTOa8hLxJSg3TF0h7FJ3Xp/HVmSMR1zT0XW8R2ms9N07S77868NjN9IM6ZbLpyv\nL67Hedu9zrLJrOjsOWKdFPUi7VE7LrLMZGdY7izfMk76OY9ms0mlUtnz2Pb2NpOTk1d4x634mxY3\nDOB//OMf5+Mf//jrfn9SSRISIkUCxG70NkR73toWP1qSUBoxkqJC17N7HJk4wkR6QnDHfZtqtspq\nd5Vz7XPM5ef28ExfKy9y/CPdGDZigBQS4gQOCSVBQS8gIzjBY8rHbsfZkT+Kkw0Qco6n2qcwPTPm\nhw/cAY5/Qed45I/IkqWoC732IAoopUoklARbgy2Gjqjch1GIF3rIkowqC3fKXDInwIMnhmi90GMU\njNAVHR2djtVhX34fEhLLnWX8yGerv4UkSxR0MaS70hdAX1d1/NCnkq1wqHQI0zXZ7G/Sc3qs9dbQ\nFI2pzBQ9p0fZKDPyRqiySlJN4gYuXasbS33+0v5fwgkd3MDF0AxxU5JVHN9hPjfP5mATRVYYuAOs\nQHRFtofbNIdNDhYPwmUo77t5xrPZWZ5vPI/t2xwqHWJ/cT91sy7Wwc45JtOT2L5NXs+zkFugkCxQ\nG9QopUq4vhuDe03RhFpB4KKpGoVUgfaojRu6eKFQR7E865J9efz//ie87ba3EYQCOI+pIX/8sT+m\n0+xQnCzy/33uf+Nk6ySf/cBnYyfR6r4qxoTBh/6vDxES0nf7TDFFKpFCRkaWZPYX9rM93Obl5sv0\nrB4LuQXuqNxBNVOlZtZo2+09Q5JBGNC1u7H7q5E0SJOma3UZ+eIaLeQXYgWZc51zlLfKDN0h1Ww1\n7g7tBoydUYeKUWGpsxTLBcZzNUg4gSPMuqwu+wr7qJt1/NBnPi+07zf6G9T6NaqZKh95y0c4OCE6\nMmu9Ne6auouXt1/mhcYLeKEnaDShi6EYnOydpBAWGHkj1nvCwXa1u0pCSfAL+35hT3Izropu9Ddi\nyszFNKOUmmLHF12jKzlLzmZmRXVfvnrl9WJaVFJJ7qEEjcPyLVKJC4CuObqQJI2pb44vfk/SappU\nIrVnduRa4kby5G+5cL6+uF7nbbzOfvXIr7LSXWHgDqgP6pxqCbfvmcwMaU3Q1i6mZF0pflrmWbfi\n9YWmaFek6YRRGIsT3IpbATexky0IOouiKExnp1nprFDr1zAShljkvktaS5PTckILXzOYSE9QMUTG\nGhHFPO6RN+Ld+96957NfKy9y/CP9g9UfcKJ1Qjh6mtvkk3myySyrnVXc0EVXdApagUiLeDF4MXYH\nrWaqcSdhXFUc37zHACoMQyzPYqO/QWPYIAgDKpkKMzlBxWkMG8iSTCaR4WDpYFydt3yLIAyEQ2ck\noSd0MbB7XtfbDVw0WUOX9Xg7siQLB19/RN/uC0WRwEYNVfq2oAG5oUvFqNB3+ygo3D11N0bCiF1s\nJVkCCbZH2wycAR2nw9n2WSaMCWRZJpPMEBHh+z5Hy0e5c/JOEkqChJKgOWqSVJJUs4LKERLStbv8\n5w//Z3zHR02qfFX6Ks7QAQnm7prjE5//BPVe/ZJrNR7OXO+vc7xxnHwyj6EZbPQ2eGrzKVzfRVd1\nTNdkPjdPTs+hKRpHy0cJooD/euK/crZ9VkiNBg6HJw5z28RtvLT9EroqNNmLaUGraI/aNMwGfujj\n9S+l4siSHN8o62Y9Bnn//PP/fM/rXN/lay9/Le42PFV7SshLjmUnZS0e4jw2eSz+bFmS43VdTpdj\nx+HLUTDWemvk9Xzs/ipJkhiyTubpO32CIIi/L5uDTfpOn4iIQqrA/sJ+gjDgxcaLLBYX4zUaEBAF\nEYWk0Gv3Ag8v8pBDmbSWxvM81rqCJtIwG6iKiqZqQvNfLzChT5DWRPV+t6Pt/uJ+FvILfD3xdfpO\nn0lDJNGb9qaQZ4zEWj7bPivmW1IT2IEtjLuGLU60TnC0fBQrsPZURZ+vP09R30uJAZFwLxYW44r2\n5QYngzC4cnX/CpXXMR3jaPko9eGF+RJFUsgmszww/UB8zPdP38+59rm4I9JzeuT1PJPpSapZQSsc\neaNLtnG1uNE8+Z83F87rBYCv53kbF5vG8nvjOZLdRaRxx/pqlKxrnde4FTdPaIqGH/pXVNG5BfBv\nxe64aQF+z+kJHXrfB0VoUzdHTe6Zugcv8MgmsxRTxXioVFd0dqydGLDsXvzjqtXuH+uN3gYtq8W+\nwr49/Hu4Mi8yCAOG7pCRN0JCopAs0LJaNIdN3NClkCpQ0ku81HyJMApjYBGrz0SAdGEQbzozTd/p\nc7p9GlVW2RpsMfJH2K4tNL7DEUNnyFZ/i7JRZiozxWJhEduzKaVLTGen+XHtx9SHdUzHxA5sZFlm\n2pimrJep9Wv4oY/jO5i+GbuiZtUsM9kZzrbPMh1NM5ubpTlsYns2bastuOlSRDYhugeWa5FW0/Td\nPuWojOmYrPfW0RIaqqKyY+3Ew5StYQtDM0gn0iiSUC+qe3UG3oD6sI4kS1QzVcIwZHmwzJ/973+G\n2TbJlrO875Pvw3d8oiDCG+0CzxFsvLDBx976sfih/wGMZ9XnfvUfx8NJlm+hygnMco7/8a//Z2Tk\nWNrTDVxebr7MexffixM4bJqbsQTp2Nn09vLtWL7FyfZJ6madxlDQpoIowHRNiASPPK/n6Uk93vPF\n9+COXEpaiX3ZfRyYOxCDgCuBS8u3mMnOsG1uUzWqNIYN1nvrhISxwpDjC258ShXXrG21kSWZHWuH\niAhFUjjRPAEg6DBEtEYtjm8d5y3Tb2EuN8dqd5VcMifAplknraYxHVNQZTIVdFlnMj3JUneJriUG\n93YPmh4qHaJjdwRt5rz7sB/4FPQCi/lFiukia701MokMA3dAu9dGVVQhZxuIbpbnelQzVQ5NHNrz\nHRv5I57dejau4IMAQYWkcMi1fSG92rE7gnKnT+BGLrZvk9WzMdUrqSbpOl0yVobl7jJvnX1rDL4W\n8guoisrIH8VqSeNtj4HQyL0ygH49ldcx+LJ8K07E4EJSsBtsKbLCXH7uioO849e8lrjFk79+cbMC\n4N3r8on6EySUhOhY7yoiwatTsm7kvMatuDEhSRLpRBo3uIwO/mVU5W7G+Lf/9t/yz/7ZP+POO+/k\npZdeel2f8Yd/+Ifccccd/Pqv//p13rtL45Of/CSf+tSn9ngE/KzETQvwpzJTrPXWkCQJRVY4PHGY\nczvn0BM6M9kZunaXvtNHRkyOF4xCXBEfa1mPY0zJ2f1jfbB0ELflstJdiVVJQHDN+04f3/djlYxx\npe6bZ76JH/ksFBZEpb23QWPQAFnQhdJqmnK6zInmCfzQ587JOzm7c5aEnOB0+zRTxhTvnH9nXAHe\nGGxgB3bsVNpxOiSlJNlUlgerD/JM/ZmYu1k2yiwWFnF9l4EzQEVlNjvLUmqJntsTg5OSgqZoGKrg\nAHfdLlEUMWlM4jkehip457OZWebz89R6NVRFxQ1cgjDADYSqSEJNMPJGDLyB0GUPQ+YL8wRhQNtq\ns9JdQZZkFguLrHXXkJHjgdDZ3GysorLR20BVVO6ZuofD5cMoKDTMBjujHXbsHc7unKXT7NDf7AvF\nkCggoSdwh68uPTkLHBn/Y/UCs32szeT5Hs3t5p6Bxgljgs3+Jq2RkAE92RQzErPZWU62TsZylGOK\nxdZgi33FfUiRhB/6YuZDjjBUg82+oBZNZ6ZxcRl5I5pWk83BJndN3iXApSTMgzRVi1VSRr6gSc3l\n5ljqLLHUWeJcR6zr3qiHH/oEYUBGE90PL/KEpGNuGiIxm5JUktw/cz9hGJJQEzy1+RQARyaOkIyS\ncTfjRPuEACGSwmx2lvcffj9Pbz6NjJBwtDyLilFhy9ziYPEgD84+GAPS8ffmwZkHWe4uM5OdIQgD\ninqRkJCElOCZzWdiiknf7uMGooO11l3jttJtbA43Kekl0gmh7FFJX+CDptU0W+bWFb/7Y/pPc7tJ\n02oSEqLKKsVUkWKqyHRWzHyYrklBL/Cufe9i5I0uAdBHJ47Sd/t7Kum7gdC1VLxfS+X1tSYF1xuQ\n3+LJX1tcS2X+ZgbA43V5rHLsEh+G3XE1StaNnNe4FTcuJEkiqSZ/ZtVyvvCFLwDw8ssv89RTT/G2\nt73tNX/GH/7hH/LBD37wTQH4P8tx0wJ8L/BEtfn8QFE5XRbOpd4olpxc663RsTtC8WNQj6kac9m5\neDhufJO8+MdakZW4jb7aXeVU8xTrvXWc0KGaqbLcXaaSqeD4Dscbx7Fciyc3niSbzDLyRoIOI0kc\nKB8QA7CRj+mZuIFLNpll6A55qfmSoC2cV8jo2l3CKESRFda6azF3v5As0Bw2IRJDquEoZGOwwQPT\nD3CieYL1/jovbL2AH/gcnjiMIil4oUfX6bJQXBDOn3aXEJHgjDXQ81oeSxYAM/IigihAV3UUWWG9\nK3jZI1cM/gZRgKEJmo6MjBM4GAmhhuKFHrZvk1STYjDW7omhWGQkJA6VD6EpWnzNTMdksbCIH/qk\ntXQM7gE0VeN4/TieL2Q09aJOFEXIOZnTrdO873Pv48//pz9/w+unudHkjz/4x/zj//aPUVDI6lny\nWp6e1mPL3KJiVOIZCcu3OFI6QlbPcqZ9hrM7Zxm4A2RkNEljJj/DzmiHl1svY9qmcEzWDEp6SShZ\nRDZFrYiqqMiSLCrsssLRyaN0nS4/rv1Y6POrOrPZWYqpIqdapzi5fZJD5UOkE2mcwCGIAlRZZS43\nhyqr8eNdu0vDbCAjaE+FZIHmqMmh0iHaozYyolvVttpxkmIkDLzAEwZW50F7NVOlkCxwZucMtm/H\n/gJJOcnBiYN7wP04FFlhypiKKW7jRPnszlkkSYq15Dd6GxiaIRJEJcFkehLTN4XSkyQL7n66csnn\nX257lUyFhtkQiWIUYYc2SUUkJOP5iM3BJoZmkFSS9OxevG8Xx77CPtb765c9tssB6OtByXgtScHl\nAHkQBVcsNFxLQnI9+N5/k7nZr1aZv3fqXmqDGk+cFtVxWZIvkVC9WQDwa6FkXXxNjzeOs7+4/7LG\neePX38h4s9bY3+S1/LMWzzzzDMePH+cDH/gATzzxBI8++ujrAvi34tripgX4I2+EqqoklSQbjqDU\nJNUkRLA93KY+ELSU2cwsqiLoLZ7vsTnYvFDdO1+1ms3O8rWTX6Pv9GOu2vgHu2oIusgTp58glUiR\nSwpFGSNtsDXYYtPcJJ/IszXcomt1MT1TuD+ep6akEqlYiq+QKtB3+9ieTcfuICNzR+UOunaXgT3A\n9mye23qO2yZui2keIPhztUFNGGlJxLr2p9qnQIK7p+6mbtY5WDqI4zuxLKAiCfDl+R7nuudoj9qE\nhAycAQNnQF7Pi2RETTFnzEEILm4MiA5OHGS1I5xDx9vVFA1JlQSvM5GiY3WQZZmhO2Qnv4Ou6rih\nS1kX+ve2bzNpTArZzfPH6YRO3DKWJGmPkkitV0NXRHX22OQxtn5vi5pZIySM/QWUlEJgXZ+by5d+\n/UsAfPArH6SjdbizfCduKKgejufE+ueT6UlO75xmIj2B6ZrsU/cx8kYM/SGn2qfQFV0MPmZSnG6d\nZjozTUJOMHSHFDQxYJ1SU9xXvY8tc4tDE4fYV9hHo9ZgIb8gzp+1Q2vUYqmzhB3YlIwSmqLRtbps\nmVsoskJCTlBOlQnCQHRjNANd1ZnQJ+LZh9aoFWtfn22djSs5W4MtDu27oAy1WFhktbsay0qe2jlF\nXs9zdPIoW4MtCskCGS1DEAbcPnH7FW92u4d213prjNwRJ5sncQNXWKvLqpDLzFSZSIkhdzdwUWRh\nKpVUkwRcuJ5hFLLR38ANXL67/N09N9y53Bx+6NNRO/HcgCZrdJ0ulmJRSBbI6TkxAOwO6fgdDuQP\n7NnP3fFaKto/DUrGxYDcDVzOdc6RS+a4t3pvvL3L7cPVgMsb4XtfKwB+swHT9QJqV6vM95we3zzz\nTUppIWYwfk3DFL4YR8tH95z/n3ZcawfoctfUSBiXPa5x3Ohr+WZ8125WmtX1jGazec2PX+m1wJui\nrvPoo48C8C//5b+k0+nwZ3/2Z3z2s5/d45rrOA6f+cxneOyxx1heXsYwDO6++27+4A/+gIceeiim\nIX35y1/my1/+MgDvec97+O53v3tFOs2XvvQlfuu3fovl5WUWFxcB+MpXvsKjjz7Kiy++SLfbZXFx\nkV/7tV/j937v9zCMy3e2ftbipgX4CSXBWncNP/CZSE1gJER1sO8Iecyjk0dZLC2SUlM4vsNCYYGs\nlqVhNljtrpLRMrx19q2xqspmb5NIjuKBztPt00ymJymnyjRGDXp2j4yeoW7WWemtoMjCGXCts8bQ\nG9J3+hRSBaYz02T1LCN3hOd77C/up2218UMfXRXV6IbTwPbtmHtf0kuUdGHu07N79O1+bPY0fsyP\nBPd86A1JyAm8HY9JY5KMlhGDlflZHph5gCAMeOLMEzxbe5ZKpiIGjBMGC7kFgiCgNqgxcAdIoRRL\nQtqBzdnhWYpakRljhrnyHLqix0Asp+dIDBI4noMf+GR0ocE+7hRMG9O4vktz2BQyleeTrNawheM7\nwtgLmZJewlANDiQOxPKgtX5N8KnP0yMkJG4v384LjRfYsXfQNUG5cgMXX/dZ66/x9v/n7fzgoz+4\nruvp8d98HIDPfO8zVIwKh8uHySazsVRqbVCLB2LHVC9FEtSwlxovURvW2BntIMsyhmYwk53B9Exa\nwxYdq8O8MS9+eKQLN/6F/AJ/cfYvYu35MRBf76+jyip+4McJ6bgDEyAGsNOJNHO5uTj5sH2bMApJ\nJ9JMpCcEJQslBs5jnvxuWceqUaXWqwklJbuH67sYCQNZkpmoTMQ39TPtM6z2VzlcOnzJeTM9kUSf\na5/jL5f+kq3BFpZvsTPaYSozRUbLMJ2bjj97HEEUcPvk7XH3YtxlCKOQk62TOIHDuxdrKUV8AAAg\nAElEQVTeHdMLdoPH5qjJQm6BgTsgpaRiA7dCWgz2jj/LCzyMpIGsyFeks7yWivZPi5Kxu+K/3Fne\nAyyvtA83Eris9dYYukMG7iBWaBkXRdJqmm+e/SalVOlNBUzX83ivRk0xXZP1/jrz+fk9MyNjV/T6\n8EJH7GYAhteawF5ubY87ZW7g7jmu8ftv5LzGm/Vdu5lpVtcrLpbCvFrceeedV3zuRnPMLcviscce\n48EHH+TYsWP89m//Nh/96Ef56le/yj/6R/8IAN/3efjhh/ne977HI488wvve9z583+dHP/oRa2tr\nPPTQQ/zwhz/kfe97H7/4i7/I7/2eMIXM5S6VrH61OHPmDO9///t55JFHMAyDkydP8pnPfIann36a\nb3/729f12H9acdMC/PawzcgZCYlCvSBkKCUZ27ep9Wti4FMpC2fMVIlyuowsyUwak9R6NU40T1A3\n68LYhoiW2aJoFGPZuqSa5Lmt57A9m3QyzVpvDSQoposYisFmb5P1/joJWai+jF1zV3urVPwKlUyF\nkFBwsc+D9XwyT8/pxSBdlmS6djcG9+PtbpvbRFJEw2ygqRp9u08URgz8geAeS8SSjIqkUEqVeKD6\nAGu9NZ6pPcP2cJvasEYulcPQDJa7y0hIzGRnGHgDJEnCdE00VRPDoHYPXxKT907oUEwWY3pQxaig\nSAoz2RnUvErdrLO8I0DGlDFFQBAbPJm2iaIIs7D2sC144lHEU7WnqBpV/Mgnq2W5t3ovHbuDHdjc\nOXUn1Uw1dqxtjVpiSFmSONk8iSqrTKQnCKOQzcHmHtfTGxH/x7v/D1RNZf+x/fzOn/wOrzRfEZSs\nzjLVTJWkIvT4x46rY2WbpJrkQOkAtm+zOdikZQmN/1wyR2PYiD0WdpsTKbJwhc0mRUJo+ZagC2lZ\npjJT/GTrJ0REqIpKz+0RhIFQ4YkCkRQFAQcKB9hf2o8XiKHjscPp5mBT8P7NJk7gkNEypBIp6sN6\n3HIf04QWcgs8UX9CULN66yBBQS9wvHGcqcwU+wr7eHH7xcuCBE3WaI1aLHeXY3lKP/RZ76+zPdwm\nr+dZ769z99Tdsf8DiORoNjdL1+my3FkmraZjQ7OEkuDwxGFmcjPxtsY33ItlK48Vj7E6WKUiV5if\nmmelu8LQG8bD0wuFBbzAuyq//FopMzcDJ/la9+FGApfV7iprvbVL5EUbZoOe00OTtdhP4Hpu92rx\nWo731Sr9V6u8N8xGrESymyoGAuRvm9vMZmdvmoHla01gL7euqplqPEQ/Pi54c+Y13qzv2s3wnb4V\nIh5//HF6vR4f+chHAPjN3/xNHnnkER599NEY4D/22GN85zvf4T/8h//ARz/60fi9v/qrvxr//e1v\nfzuyLDM5Ocnb3/72170/n/jEJ+K/R1HEO9/5To4ePcp73vMeXnjhBe6+++7X/dk3S9y0AN8Nhf54\nGIWxY2hBL2D7NgeLB+OqaEjIjrUjwLleZKW3wtnWWaaz0xwqHaI5bNKxO9RHdazAYn9xP1EUcbp9\nmpXeChERwSBAVVSswMIf+uiKcKL0Io8ojIS8YDK3hxOdSqSYykxR69fIJIVRUqzW4rsoCQGaB/Yg\nBvgjf4TlWZi+yTtm38ELjReoD+qs9lZxAgdd0fEDnwAheakrOl2nKyrHksxaf00YX+VmyLVztIYt\n4cJ6vjK83FmOOwljKS3XF+o+vuNjBRY7zg6ma/LrR38dXdUp6AVWe6uk1BRdp0tOyzGZmWQ+N48i\nCxWcjtVha7AlKsRZMZz47n3v5pmtZ2gOm6z2VjnZPCmUhfQCHavDodIhpjJTVNIVXt5+mS1zi5E7\nYnu4DRJU0hVW+6vM5eYIo5DmqCkoRmFIEAX8yv/7KwzdIdPGNFOZKTbNTbp2l2JY5Gv/69fe0Nry\nXZ+lF5b4d//03/Ebn/kNsZZkoVAzcAek1BSmZ8aOkCEhXafL4dJhVrorJBXhIDlWZomiCDuwqaQq\nl5gTdZ3uHjAURiE7tR3Wemt07a7YpjOgkCwwdId4kYcUSURRxI69IxSSPJOiXkSSpFhFp6SX6Lt9\n9hf3x1KKpXRpT8vdCqzYh8ELPdb6a3StLpqixdKnrVGLaWOaxfxirB2/GyR4vsdPGj/hO8vfwfTM\nWIWnbJTjroPpmjy/9TwHSwc5PTpNGIWU02XqZp357DzFZJGCXgDgpeAl7izceYlyFey94Y7/y3Vz\n2J7N853n2R5uYyQNbM8mq2UppUuoksqh0qHrUjm+kRry13sfbiRw2RpsXdE74HT7NIVk4YZs92px\nrcf7Riv9YRTG63IMgHerMAVR8LoB8I3igl9LAnu5daVISqywtdxZZuAM3jRfgzfru3YzfKdvhYhH\nH32UVCrFhz70IQAymQz/4B/8A774xS9y5swZDh8+zLe+9S10Xee3f/u3b/j+LC0t8YlPfIJvf/vb\nbG9v7+lgnDhx4hbAv5ExckdC/vK8mkbf6dO1u0wak4Iy4/ZZUC/8wO6MBGhyfAfLs2gMG7zSeoX1\n7jpOIGgkQ3coAJDdEUZNVg/bt7E8i6yepWt3Y6DlRz62b8eOsPuL+/FDX8hGepYY9NXzBFEg5C8j\nONM+Qy4pdMYTSoKcnoulrMbbUSSF/YX9tEYtnMAhkiKQIJVI4XgOXugxkZpAkRW6dhcJMTE/5oca\nkcHp1mnyyTxdRwxflo1yrAueTqTpjrroqs7IHQmXTD2HF3o4gUNOyjFpTPLO+XcCwlnzOyvfoWkK\n052J9AQHCgeEvKA74mT3JJEUkfEzfON/+caea/S2z74N1VDRFI0gFCZcSLDaW6WgF9ixd9gcbLLa\nEzz/slEmq2WxAuEEHAYhRNCxOlieJWhQeoFJYxLZkEl4Cdp+m4SS4O4Dd9McNtEdnesRgR/Qb/W5\nvXw7tV6Nle4KZaOM6ZocKh1iVp6NQY6MjBRJeIHHvvw+kmqSzb6ooCeUBOlEmlKyhBd6FJKFPeZE\nE6mJGBCEUchydzl+Tk/ohKOQoTcklUiR0lKogTAIC0Mxk7DR3+D+mfvxQk9IUY7aotOgJmmYDdKJ\ntLhJyWJbiqRg+RZL3SX25ffRGrVwQ5eRO6I5bMZGXp7lMZOdYegOOeWcIqkm+VuH/tYekBCEAZ9/\n7vPIkiz48IjZDDdw8SM/HnCdy81xbuccC4UFiqmimEvQC4L/n5nlzsqdbI+2hbNs9NpuuEEUULfq\nzBgzlKZKdEYdAoRcZyVT4Z3z74wdnt9o3GgN+eu5DzcSuLStdpyQXRwJJUHP6d2Q7V4trvV4r6XS\nfzXeuhM4LBYWgb0AeKzC5AXe6wLAP20u+BXna84rbBX14iVeMTcy3qzv2s3wnb4VcPbsWf76r/+a\nv//3/z5RFNHtdgH44Ac/yBe/+EW+8IUv8Ed/9Ec0m01mZmZij4cbFaZp8u53vxtd1/n0pz/Nbbfd\nRjqdZn19nd/4jd/Asi41sfxZjJsW4M/n59mxd/YMxkpIeL7HlrnFWneNjtWhoBeYzc1S0Au0u23W\nemuU0iXKRpmUmhIShVYbP/LJa3kG7oClnSVG3gg3dElpKaHvHfmYlkl3JJRuovN/FEnB0Ax2LDFg\nOvSGDN0heqijSiqFZIFDE4eQJZlsMksQBtw3cx9du8v2YJuhN8T3ffJ6Htu3KafLzGfneWbrGTRF\no6AUYrdPO7DJa3nm8/NYnkUn6pBJZvB8ofu/0l3Bj3wGzkAoBZ0fYnV9MewoSzKu75JQE5TTZUb+\niEa/Qdfu4nuiM1HWy9QHdT73zOfoWl1We6tEkehSpNW0cKftrnGscoxSuoSmaszl5jixcuKSa+SF\n3p5q11iadOgNWemtcLB4kKXOEpqiocoq7aEADvPpeUJCcnpOUJhSJSIicnqOSqYipE9DFyMpTLX6\ndp++06eUKjGVFtuo7doPXU/iOO6eDHz385eEBKXZEsaEwanWKTHkOtgiImIyPUl71ObIxBFOtU+x\nY+/QNIWueVEvMmlM4obCw6Brd0UHxRWuyxNJwWvfbU40nZ1mtb/KyBfJlu3baLLGkrlExxIKUEkl\nieu7qIpKSk2RUBJESiQqqBFs9oUJVVJNMpmeZCG/wEp3hYQi5EwPlQ4xZUyJ4dvIRpEUZGQq6Qo1\nU5jDdZ0ufuiT0QQFZ9yJKuklek6P9qh9yWkag6WJ1ARSJDFwByTkBCA6bEbCQJVVOlYHP/Lp2T3e\nte9dFwzdooDntp7Dbbgxvz+dSNMwG7StNkW9SHPY3MPxNlSD5c5yXOV8euPpWH5z3FHZGe2gKoJO\n9uPaj3n/4fdfsu+vp1p6vSUrb+Q+3EjgsjspvTi8wLsi+H+j271aXOvxXkul/6H5h67IW1/IL8RK\nVHABAO+m5byeDsVPmwt+s/kjvFn7c7Md942I7e3tyz7ebDYv4dy//PLLb8ow7cXxhS98gSiKePzx\nx3n88ccvef7LX/4yn/70p5mcnOT73/++MON8HSBf10UB0HEckskLMqKtVmvP67797W+zubnJd7/7\nXd7znvfEj48Tj78pcdMC/HQijR3YFFNCx3zkiQrkS9svUclU2JffJ0CTZ3K2fZaMlmG1t0pr1CKj\nZeiOuvSsHgNHaLlnggxyJPjNqUQKPaGT8lLCvVVRiaKIMApjcKbIiqDnqBJ+IDjHWS2Lruh0Rh2Q\niF1FZUkmp+dIKkkWC4sMnSGveK+QT+aZzc+S03LIkizMoRSNHXuH6ZyQFxzYAypGhZE7QookForC\nnGcqOSUqr94oHsbcsXYoUSKbzCJJErP5WbpuF9MRWuBtS/DiTdeMdfHzqTyldIn6Tl3w6D2T9cE6\nJ9sn8QMfy7fIJrPsL+4njITWuJ/1YzWefQXBJx/5lxoCOZ6D7/qxln6IOH+dUYeu3WU2O8tad42/\nffhvA4Ku0hq28AJPDKsmDNb6a7HJ1L68UK7xEWZPM9kZNqNNTNekNWoxOzXLelPwwH9p1378wdf+\nT4rlIkcnhJfBy82X+YOP/AG5nSFW19pjmpWfzWOUDH75U7/MbG6W9kgMSE8YE/iRT82s4XouA3fA\n7eXbKRtl7py8k1q/xqa5yaQxiYKCLIn9L5QKeLJHMVGkkqrscWcFIdMYETFwB/xV869Y7a0ycAYY\nSYOEnMD0TCRLIiEnmNFneOvsW9nobxBGYTxYW81UWSiIG5HjO9T6NfYX98dAxPZt5vPzzOcvUIEG\nzoBNc/OCA20YxAYpmqKRVJIM7AFpNR0nphfHRn8jNmHK63naVjsG+JqsYXkWE+kJ3MDl2OQxDpb2\nSm3WzTqKpNC3+9QGNRpmg+3hNjvWDiNvxGxulsX8Yvz6czvn4rWRS4qhKTMwSSgJtq1tvJZHQkrE\nlDQJibX+Gq1Ri/3F/Xuq26+nWno9NeRv9D5cL+ASRAHbw236q/04CYmISMiJyxqEVY1qbCr3Rrb7\nWuO1qMVcLcbHeCXe+jtm38Hzjeevu4/AT5sLfrP5I7xZ+3OzHfeNiNcC2CcnJ990gB8EAV/+8pc5\nePAgn//85y95/hvf+Ab/6l/9K771rW/x8MMP89hjj/GlL33pqjSdZDJ52Sr7WCHnhRde4MEHH4wf\n//rXv77ndWMlnt1JAMC///f//pqP62chblqAH0URK90VvNBjMj1JTs8JrfXII5PMUM1U6Vm9mALS\nttp4gUc1XUVVVJa7ywSh4Nb37B7NUZOkmqSYLBJJ4gZmJASfV5OF/bMXeoSEAgDJSVRNjWkuTuCI\n6ricQJUFLcULRTVr6A8ZmkOqmSptS1RCJUniWPUYuWSOKLrQCcglc/z1yl+TSWYICZERSUIQBqx2\nV1FQaA/bNKJGLDHZdbqsR+t0hh380Odw6XBc9ZzLztFSWizkF/BCYTZ1ducsDbMRmyo1zAZDb4gu\n64RhiBcIukfP6VFJV7B8i//y8f9C0AtIFoUU6XBniJSVePjTD2MkDFrD1iXXyPZtUlEKBQEKOnZH\nfH7koaqqqDD7I2q9GpEkEqiMlsENXBZzi+STeYIw4PDEYZY7y6iKytAdokgK5UxZ8M4jiZdaL4kb\nt0Q8bLo7CsmCAJJuXxgo9bf4ld//FRRZoTlqEoYhfbtPKV3i3uq9vNB4ge3hduyE7PgOPatHJVNh\nq7+FH/pMZ6bZHGxyZ0XwxY+Wj/Lfl/67MKVSdXpOj2pWmJs1B03KSSEbejHIGd9gQACkVCLFRHqC\nzcEmBb0gEprQJ5fMMfJG1E2RiIWRqGAU9SKtUYu23cZ0TEIE8K/sVDhYOogiCbWnsUrROC4eJpRk\nMYTddbr07B4DW1x/TdEopAq0g3YMdMYRhAFTmSkaZoPFwqIA4KEXg3wnENr+lm+xWFy8hFO/bW6T\nVJK80nxFyK6qKeZyc2IuxhLDffM5oVYy8keEkfjuDdxBDPCjSHQyNF8jDEMkRYqHlSfSE4LaFjp7\nKqCvt1r6ejXkL1epjyLhOzE+jte6D8udZZ7depa6WQdEh+yB6QcuWVdvBLgEUcCJ7glCOWQqccEY\nUJZlLFu4LTdHzT0GYQcLBxl4g9e93dfLQ7/W473WSv/VeOvXw0fg4vhpc8Gvlz/Cz9r+3GzH/fMY\n3/rWt9jc3OQzn/kM733vey95/tixY/zJn/wJjz76KF/96lf54he/yMc+9jFOnTrFL/7iLxKGIU89\n9RRHjx6N+ft33XUX3/3ud/n617/O9PQ02WyWI0eO8P73v59SqcRHPvIRfv/3fx9VVfnSl77E+vr6\nnm0+9NBDFItFPvaxj/Ev/sW/IJFI8J/+03/i+PHjb8YpedPipgX4M/kZkGC5u0xz1IydRgvJgjDP\nQWYiPYEkS6KijUTbamPaJtvmNn7k07W7qLKKruo4riN01oMAJ3BQFZWknMQPfTRFw/UFrzghJyil\nSiTkBAN3EPPjM8mMAFhyyFx+Dk3RyGgZmsMmd1TuYHu4jWmbcfU3IhLGP0hUs1UmU5O80HiB7619\nj9NtobcuIYmB2PN8/2q2iq7qdOyOUG5RkpiuyXRuWgx9GkJ6smE2RNU92k9STQot8yhg0pjE8kVV\n1fIswiAklEL8yI+BoCzLIkFRNRzTwYs8fvxPf3xBd35z10WoX5CX/B8I99jdof7rVSRZtLGbhQS/\n+/H7UGWVIAhIKaK9n9WyNK0mqqxSTgsQPOaoS5LEoYlD3DF5B32nTzqRZiYzgyRLRGGEEzgoisID\n1QdQFZXGQNCNLo6AgJyaY9vcppKpUDbKpLW0mAXQCmiqRjVTxfEdBs4AIuFWW+vXhGKNJzpFYwUf\nQzPIp/NMpCYuSOIpCr904Jd4tvYsXuhxrnOOpc4S+wr70H2dpt3Esz36zT5+sNec6P7p+/nB2g9o\nDVtkkhk6dgdd1SmlSmS1LKd2TmF5Fgk5Ec9pIIGqqCiywtmds2iKhp4Qa8P2bLbNbVKJFAeKB+g6\nXU60TgjZS0mJk4yN/oY4P1GAjCwMrjybLXMLTdZIJVIkE0kiBEXr2a1n91SWFVnIbnasDtlklsMT\nh1nvreOHPk7gICGMrrJaloyWoZLZK9cWRAGtUUt0zXap66QTaaZz02z1t9jobQhPikyVKIowEsYe\nRY9xpcUJHQpKgSPlI/Eaao1aLO0sISPzYv1FPnDbB1jIL7DaXaXv9jndOh2D00qmwmR6kp7d44n6\nExyrHLssuHwtJlVw5Ur9k+tPkkvmLqsvfnHF9mLQC9C1u1SMSizjClAza7TtdnyN3ihwqY/qeKEX\n07bGcaBwgOfs57B8i7dMvyV+fAym373v3az31nl261m2zC0kJKYyU9w/ff9lj2d8nseSxa+Hh36t\nx3s9OhuvdQ1cHEEYUBvWqJk1ZFmmv9qnMRTzMq/mNXEj440e1/WON2t/brbj/nmLRx99FE3T+K3f\n+q3LPl8ul/l7f+/v8fjjj9Nut/nmN7/JH/3RH/HYY4/x2c9+lmw2yz333MPf+Tt/J37Pv/k3/4bf\n+Z3f4UMf+hCj0SjWwc/lcvz5n/85jzzyCB/+8IcpFAp89KMf5eGHH96jyjMxMcETTzzB7/7u7/Lh\nD38YwzD4tV/7Nb7yla9w33333fBz8mbFTQvwv7/2ffpOn3K6zB2Td3CmfYaO1aFiVIS05XnqQN/u\noylaTLWRFAlzZIpB2dDHxsZXfRJSglAO4yqhqqhkEhmswMJyLRRFQVcEwFMlYbCVMoSOuyzJBKGg\n9szmZpnJzjDyRsiyzEpvBdMzCaOQIAyEtn66LOgevVqs++0FHhNpMTwbRAEjX1BvWlZLgPzAx9Zt\nhu6QkT9iypjCdIX0IpJQchlFogLcd/oEUcDTtacppUo8NP8QlXSFb5z5RgxU53Pz1Po1tkfbgve8\n0xBJgD6JixtriTeHzWsylZoFjlz8YNs//xdfyD3KquiERB7z2XlM1+Su6l0sd5aRJIkyAuCP5U5D\nQh6ceZBCssB7F9/LWn9tj6To2LV0NjuLKqt8/czXL8sLfnL9SR5IPkBaFfzucrosTKq8IVJaDCmP\nZTg3B5vkkjk0VeNk8yTZZFYkcFoGJ3CQZSG/ONb9H0cQBpxun8YLPUpGibfNvY2hN6Q+qLM53GQ5\nWKakl3jv1Htjmb3dwEWSJO6t3ovlWwJgn39NLpWLh2En9Anm8nPCXyBwKGgFvNAjq2VxAjE87vou\nxVSRMAwZukPW++vcMXkHju9QN+vk9fyeiuZKd4W1/ho5LccJ+wSmY6LKqlCpijSawyaKrPB3b/u7\nWL61p7I8Bktjx+coinADYZRWSpcoJUsosoKqqJzZOSMckXd1ARRJYcvcio3ndkdJL5FRM0xlpnjL\n9FsIooAX6y+y4W8w9IWRWyVToagVhdTteQodEA8rm67JdHYaI2EwRJyLhtng5ebLaIq2Z61sDbZ4\ndutZZjIzJJTEJfr7r3fI8UrdAk3RLqsvvns9jf9/cYJQG9RY76/Tc3vcVrqN5qhJw2wImdvAwfZs\n3rnwzjcMXOpWPRYx2B2KrHBf9T6Wu8uMvNElYBqgbbepZqscLB2M37dpbtIcNZGQ4hmNcaz31zle\nP05ez7/mrsbu/Xq14/1pUzLG17Nu1cX9RFXje9VP6j/hLdW3XLLO/qZwwW/FrbhcfO1rr65699hj\nj/HYY4/F//7Upz7Fpz71qSu+/p577uH73//+ZZ978MEH+cEPLvXRGctzjuMd73gHTz755CWvu9gP\n4JOf/CSf/OQnr7b7N23ctAA/DIWpz0Z/g3M754RyjdtjLj8X0ziSqhhuBEHdSMpJuqMurufSc3rx\n8KgiKSQUoWefVtLk0jlM1xT8/hEMwkEsL1lOl1FllWwyKxKEtI2u6kKS8zy95XTrtFAxGTXwfI+i\nXhRykk6HLXOLpc4S90zfE+9fY9hgpbMibnqqQRiGbA22ANAVnUwiQzVfpTFoALAvuw9N0TA9E0M1\nKKaLVI0q9WGdc61zZJIZDpUOYSQMHph7QIBRS5gEpbV0DGy2h9s8t/Uc2WQWd+TG+vMgpDzHA8zX\nI6IwwupaRFJEmTKBH9C1ulQNUZn1Ax/Hd3ADl4JewEgIs6iZzAwDZ8CR0hG+t/o9/qr3V6iSSj6V\n5/7q/cwWZsnpOUp6icX8IvlKnqnvTHG6fRoQxjQdv8NfnvtL0mqahcIChmbg+i5BGOCEDqYjEqVx\nxRwQnYYoIKsJgB+EgZD/i0TVWFd1unaX2qDGtrkda4BHUURaS2MkDIyEQSVd4anuU6T9NCW9RHPU\njAHdbuAShAFlQ0hHOoETA3wZmUJKeDzsL+xnX34fk+lJRu6IHWeHoTWkmBbDqDvmTuxsO3AExWas\n0iRFYp/fte9dMZVjIb/A8fpxenaPlJZiIjXBwBFrXZZkMbgeSVSNKrIkk0lkWO2uAsSuqmd3zpLX\n8xwoHGA2O8t90/dxtnOWFxsvUklXyCazHE0fpWt3Weut0bN7cdV63FkaD8eOY5zgTaQnCCKhrHOi\ndULItCZzsXpWw2ww8IR0nxd5wnEZaI1acfI7/mxFEpKuZ9pn2B5ux0O9AQHtUZulnSUhxTpsM5ub\njSv7b3TI8UrcakVS0FV9Tzdiz/PnQd7lEoSG2aCoFzE9kx+s/4B8Mh9/p42EwfHGcfSE/oaVV6JI\nKHhdLhRZuGRfTlllubN8RQrUmZ0zSEh7Og/j557vP8+ivHgJwIfrx0P/aVMyxtczpabwfT9+fH9x\nP89tPcdSd2mPodzfJC74rbgVt+LmipsW4Bf1Ii81X8IPfSQkiqkiaTXNyBsJ59r8glCH8X0GwQBC\nOFI+wgv1FwikQDh2yjJRKABZzxbgzFEcDk4cFE6tKExmJgmjkLbdJq/lSWkpwjCMpfd0RXCMVUll\nyphi5I9wAiFnaXmWkH30LZzAYeSNKOklbN+m3q/jBq4wperVUBWVbXObhJogl8yhSAqapuH5nqCd\nSIL7mlJTVLIVpjPTompJiK7oooOgpCgbZebz8+wv7o+5yGPH3EKqABIx9z6KItpWm+3htpA2DP24\n8jumLzmBQ+JAAm/NA/9VLspVwm15/PCRH8b//oeP/0PmcnNktAwz2Rk6VgcvENKMh0qHqGarVI0q\nQRTw5MaTwuyLiOnMNEiiAnqmc4ayUeYX9v0CT9WeYl9hHy81XoqpNpIkocgKbuiKGQNF53TrdKxp\nHxExl52Lh5ITUgJDN1BkhfaoTUkXaksVoxKDRydwANE9MF0zNroZdxMawwb1YZ3FwiIKAizYgU0Y\nhmiyxivbr8TV1rEyzGq4iiIrcSV7e7iN4zvxa4rJIiW9xC8s/gKz2VlG3ojpzDR/+sKfsm1uo0Yq\nBb0g6DsorHRXIBL0J0VSSCpJ8sk8URSxv7h/D5WjoBeQZZnvr36f6cw0PauHpmqkE+mYvnbn5J20\nR21ms7OcaJ6IB6DTiTRvmX4Ly51lnq8/z8HiQaGqlJ1jOjO9B6jN5GZik7Qfrv8QRVYopopISNQG\nNQFyzxu4NYaNWAbX0Ry2+lu4vst0Vsw9zGSEAVZKTQnzNDXLdGoaVVZF18SsM2jkzC4AACAASURB\nVJ2djmVBR/6IakY4+JquGX9nNVUTczy+h+VblFJCMWiGmT2UpjcCLq/EnR6bJF0ugd5dsb1cguCH\nPtvDbZZ2lmhZLQ6VDu0x89MU7ZJuy+uJcbJ/pbgSGL7awOjAGSBdIWtIKskrJjxw/Xjor7ezcT10\n6q+W8N03fR8rnZXLdkVuccFvxa24Fdc7blqAP3alHVc6ncAhpaWQkGJ6zO3l20klUhxvHEdBoTao\n0bbahIR7qAJaoJFJZDA9k4CAtJZmKj1FJVNh4AzIaTm0rgA91UyVle4KmiykHfWEjhu6TGYmSatp\nrMAioSTo2l0M1SCnCZAzcAbIsqiCJtUkW+aW0Iy2ewQEYgbAG5EIEzGw0yIt1rNXJZXJzKQAMfaQ\n085pOnZH8PQNnZyeoz6so6kasiTHjou2b1PNVKlmqjy98TRvnXsrtX6NZ2rP4AQO+wv7GTgDIiui\nZbc43jrO7MQsTuiQ1tJogUbqnwgN/jAK6f3zK2tcv5Z43+L7eK7+HM/Xn6dn95BlmQljggdmHmCx\nsEh9WOcn9Z/w9MbTdJ0u1Uw1BtqO75BQhZOuF3rUBjVc3yUMQ15pvoLpmrEpiyqrOL6DJmnIikyz\n38SLPCrpChFRvB4I4Wz7LMcqx7h7+m76bp9KtsK2uc1SZ0m49kYBRV1QnDqjDoZmxJVT27fJJrOU\n02Vc36U9alNJC875eKCyNqphaEZsLgWiGlsLavzKwV/BD306aieW3BurKNUGNcrpMkEY0Hf6LBYW\nWcgvMJudxfKsPQOnq11hSlbNVunbfRRJwfZt/FC4CNfNevz5a701AGazsxwsHYxlLccqNCASmbF7\nbn1Yx4/8PQBFkRQOlQ7tkQj83ur3yGk58Z5dGuEgwKmqqLxj/h0AGJrB81vPc7J5klAKicKII+Uj\nDJwBQ29IRMRTm09xpHyEdHi+M6Jd2H5SSdKwGtxdvpvDhw7jhqJjMd7HkT8iqSZjgB9EAYVUAU3R\nqPVqOJ6D7dtxxyyKIpJTSSzPis8VvDFwOe7y7Ob7V9IVOnaHnr33+3RxxfYS3f8wYL23LvwKAouU\nliKpJmMTtv2F/a8pKbkaaK2mqtQGNTJq5pL3XY02crVzdbWO4Fg69YrPv8kgd/e5cX2Xc51z5PW8\nUGQ6PzD+WilcVzs3iqRQMSpvqt78rfj5jcnJyUvoJrfi5ytuWoDfd/sxuAfwfI97p+8lIuJ06zSr\nnVXkSCaMQgzFIJRCvNATqhqBI1rPISTkBH7oY3mWMK6SVJY7y8zmZjlQOkDVEMAgltPUMlSMChuD\nDRJyAjsQFJ1sIkvf7ROFEbmkcNfUEzoJJRFXqRUUnMAhDEOSSpKN/gYDd8DIG8WJgSILupCEFFNH\njIRBWhODh7V+DR+fYroYm2M9XXs6NitKa2kSilDyWcgvcPfU3bFiShAGPLXxFH2njxu6zGRnyOt5\nflT7EbIs82D5Qc4MzlzQy1cSTGWmGLgDLMkinUjT4/oA/B/VfoTt28zmZpnPzWN6Jks7S3y+83nu\nnbmXoi545E7oxAoyJ5sn0ROCE+yHPp7vISOz2l3lXOccURSR1bIC8Acu3WEXJ3SYNqYZ+kMCM2DH\n3iEpJ0kmkmiKJrThfRvbs5FlYdjk+A6HCoeIwoiRO4oNm6Zz0yQV4dI6HqIeeoIONpGeYCY7w5n2\nGZJqks6oEwN8SZIY+SMSauISTnNKTbHj7yAhYWgG8/l5MlqGr5/+OpZnkVSSTGemuad6j+Bd2z3e\nOS/41b+8/5exPItXWq9guRb1YV04z2an8QIPPxRmT5qiYbomk+nJuEI6BoBjUCIhsT3cjkFnUk2S\nS+ZIJS4Mvy51ljASBj/Z+skesFrNVC9xCx3Talz/guPp9mib+rAez5koksJMZoZuvstzW89hBRaT\nxiRdSxixTaWmyKfybPY32epvcUflDu6Zuoem1YwBsxu4FLQCx4rHODZ9jB9t/CjuMqiSyuGJw9xW\nui0GZIokJEyPlo+y0dtgy9zCCzwkJPKpvLh2dkfIkyJdGKJ+HeAyCAOhcNVbp6gX48fHZnpzmTn2\n5/dftWJ78XbrwzrZZJahO9zjqppUkzi+w3p/nbum7oq3/2r7dzWpzsnUJNvDbSx/r9zcq9FGrnau\nxn4ll4tKphJTwC6Oi6Uub4Tj6+64+Nx07A6SJNF3+nu6O6+VwnXLWOlW3IpbcbPETQvwO6MO6WRa\ngNFAmACV0+X/n703i5Ekz+/7PnFmZOR9VWXdVX1Md8/O0bs7O3vMktpdaw1IFOUHPcgCDIsETNkP\nfjIs2IatB4sEacqAAcmCZEAURAugXsQHERAW5iUtuQd3VpzZnunu6aP6qDuzsvLOyLgPP/w7o6v6\n7pnZ2RbVv8FgMJWVGf+IzMr4/n7/74EXefy1c3+Nol5krbzG7ngXCYmW1cINhfhWQiJKIpzYwQkd\n4iDG0AwM1UCRFDGpdkdcObzC3MYcXuRRMSt8+7SwVrzTv8Pv3/59vFCAz4bZYByMudS6RCVbYa28\nRhzHlLIl4jjmlforFPUid/p3uDu8S5gIcJrRMszl5hh4A5yJk/qQh1FIRs2k6bJhEopwp9CnYTbw\nQo9qtoou6fzh3T+kb/eFV3wiJpfbg22OrCOq2SoHlqA0XOteE9SiJORy5zJZNUvbaqPKKsVMkbpR\nR01UYcPp9IiSCC3R8EKPpcISJUPsJNzgxqfy/v3Wf3Hf7/ZXfu9XyGpi6nynf4cr7SuUjBJ2YGNm\nTFzPJYgDMZGWhcuKJElc7VzFj3zh1a4XuHx0WYjn9DyZbIa5/ByXDy/TmrYo6AUxxZcFpz2IBGfb\nVE3yep72pM1GdYOBMxCOLXFCmIRk9Sx+6CMhcb5+HhACQkM1+NapbwHCz/1oesTlw8u4oQuQijRB\n6CiO4iMSEpHme6/iJBa8dG/EP3z3H7JR3kCVRebC643X8SMfSZJEInIcsV5eJ6/n2Z8In/uV0gpF\nvUhBL9AwG2iKhhu6DN1hatc68ScMnAGqpEICTuCc4Je/vfQ2O+Mdxv6YQ+uQudxcagnbtbvUTBFq\nVNSK3OrdYqO68RAffOAOuFC/kAJKRVZoW2380EdXdTp2h4E94O7oLoZiIEkSrXGL5ZLYyUikBDdy\n8UNfpD7fy5Co50XGgCRJJ8D2LFgI4Ob0JpZnAXDp8BJI8K1T3zpBnbrZu3mC9490H0gtFZYEqHcG\nHNlHlI0yGTWDHdps9jZRJIWpP6VZaHJ3cPe5QOTOaIdSpsQoM8IJnbTRyarZlPL3i+d+8Ymv96Dr\ny6F1yGJhka3hFnZos1hYTH83IcEO7tORnrbOp9mFTp0pF8oX6AW956KNPMmpZuZo9qgq6AVWSitP\nFMB+VomvD16b2ecJxK7Q8d2d56Fwza7No+qlmPZlvayX9VnWCwvw7dBmZ7xDTsuhq8JJZW+8x2Jx\nMbU8nNnhXe1cJatlkSSJxaIQbQZRQGvSEhSGSNArgijAUAxKRglJkhi6Q/bGe1TNKmultRNhOX9F\n/itM/Anf3/4+XuyJBMdMmayWRZEU3mi+IRx8VJ1ypszB5CANiJm4E+GJb/eYMCGMQjRFIyamlCmh\nKqqYsoc+U3+KlEi4kUvX7rJeXqeSrTB2x9zs3cQLPFRZFb75sdj+LmVLxJGgq9SNOkmScKt/SzQC\nWgY3cEniBEM32B5us1Za43ThNB/2P0SRFdbKaxQyhZTqons6JaMk4sr/759j7I4p6kX82Oejf/wR\nsRUj9WwIP952X5REGIqBrggAHiURr869yo3uDbzIo2t3hcBSL5JECbohdm6mwZS98R5O4NDMN9ke\nbmMHNpZvoWU1Aaq0rOCxZysU9AKTYIKu6ql9qGmarJXX0GWdM5UzjNwRzXyTP77zx9i+nSYDe5HH\nQn6BsT8GxA3/J62fpGLOpeKScJ5RdFpWi6E75HzjvGjKjAYdu5MmwnadLlIipYFOC4UFwiSk5/Rw\nQ5fd0S5fXPoi39j4xoldqlnNwMT+ZJ+N6gbVXJXrR9e55d/CUIUoe5bE7PouCQlWZAkP/dDltbnX\n0BSNrtMV4PteA5DP5PFDsbPTmXYgETtjfbvP+ZXzdJyOEIbaHfp2P81pMHWTkl4Sotg4IkkS/t3t\nf0dWy3JoH2KqJo18A00Wn/GskuXHBz9mobggaD9xSD0nHJRerb+anqcTOhxMhC/rB4cfPLRroEgK\nTugwl5mjbbfJh2K3a2YlOwtickKxu1EySqyX18X1CCxG3ihtxAxVNPiGYhAT03f6jN0x5+rnKGfL\nbJQ3nhtE7o33UivM9rR9gqazUd6gqBef+joz15eRN8LyLW50bwgL29CjZogE4Qd9/49boT5tfQ+C\n8CgWVKxD65BbrVucKZxhKb/E11a+9szA+UlONWulNbE7+YjHcnqOd1beYX+y/1gB7JMEvJ9m4uuD\n1+Y4tchUzYe0As9K4ZpdGyd00NDSn78U076sl/WyPut6YQH+2Zrg2yqSIpw1pITt0TYjb8TIHfHm\n3Jtc7V5FkwXtpT1p40QOh5NDxv6YrJrFDQW9pmE20klew2zgBA4Tf4IbicnxX974yyfA/ezGXcwU\n+crSV/ijrT8SnG9FYeSOCKKAarbKrf4tKtlKChCr2argNCOnk94Zx3nOnBMpuRIs5BcEpUPSWC2u\nMnDFVNkJHG71bnGufo75/DzXdq6x9T9sAdBCcIjf+UfvoBgKqqoydIfcGt6i63ZxAodytkxWzVI3\n66lt5Up5hSiOuDESYLqcKRMlESulFa4dXcOLPAauEMAWMgVyhRz1ep2LCxfpWB1O/x+nmc/PM/rv\n/xk3bluPfb/2n/BezkBs3+4L2lPosjXcou/0cUKHoTckjIS9pi6dBLzTYIobupSMEq/UX2FoD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MCeKAqT9l7I05Vz3Hzf5NrMCinCnjR34aRNWyWli9x091Pk4d/LMDzv3dcxQzRSbehJ3BDrvD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\nqKaKZwvP0v7geFiGBZ1Qy9MwH0ZbhP5muVgOuq23PMQ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"text/plain": [ "<matplotlib.figure.Figure at 0x20fb09a0860>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "seed(6) \n", "run_pf1(N=5000, plot_particles=True, initial_x=(1,1, np.pi/4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This works great. You should always try to create particles near the initial position if you have any way to roughly estimate it. Do not be *too* careful - if you generate all the points very near a single position the particles may not be dispersed enough to capture the nonlinearities in the system. This is a fairly linear system, so we could get away with a smaller variance in the distribution. Clearly this depends on your problem. Increasing the number of particles is always a good way to get a better sample, but the processing cost may be a higher price than you are willing to pay." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Importance Sampling\n", "\n", "I've hand waved a difficulty away which we must now confront. There is some probability distribution that describes the position and movement of our robot. We want to draw a sample of particles from that distribution and compute the integral using MC methods. \n", "\n", "Our difficulty is that in many problems we don't know the distribution. For example, the tracked object might move very differently than we predicted with our state model. How can we draw a sample from a probability distribution that is unknown? \n", "\n", "There is a theorem from statistics called [*importance sampling*](https://en.wikipedia.org/wiki/Importance_sampling)[1]. Remarkably, it gives us a way to draw samples from a different and known probability distribution and use those to compute the properties of the unknown one. It's a fantastic theorem that brings joy to my heart. \n", "\n", "The idea is simple, and we already used it. We draw samples from the known probability distribution, but *weight the samples* according to the distribution we are interested in. We can then compute properties such as the mean and variance by computing the weighted mean and weighted variance of the samples.\n", "\n", "For the robot localization problem we drew samples from the probability distribution that we computed from our state model prediction step. In other words, we reasoned 'the robot was there, it is perhaps moving at this direction and speed, hence it might be here'. Yet the robot might have done something completely different. It may have fell off a cliff or been hit by a mortar round. In each case the probability distribution is not correct. It seems like we are stymied, but we are not because we can use importance sampling. We drew particles from that likely incorrect probability distribution, then weighted them according to how well the particles match the measurements. That weighting is based on the true probability distribution, so according to the theory the resulting mean, variance, etc, will be correct!\n", "\n", "How can that be true? I'll give you the math; you can safely skip this if you don't plan to go beyond the robot localization problem. However, other particle filter problems require different approaches to importance sampling, and a bit of math helps. Also, the literature and much of the content on the web uses the mathematical formulation in favor of my rather imprecise \"imagine that...\" exposition. If you want to understand the literature you will need to know the following equations.\n", "\n", "We have some probability distribution $\\pi(x)$ which we want to take samples from. However, we don't know what $\\pi(x)$ is; instead we only know an alternative probability distribution $q(x)$. In the context of robot localization, $\\pi(x)$ is the probability distribution for the robot, but we don't know it, and $q(x)$ is the probability distribution of our measurements, which we do know.\n", "\n", "The expected value of a function $f(x)$ with probability distribution $\\pi(x)$ is\n", "\n", "$$\\mathbb{E}\\big[f(x)\\big] = \\int f(x)\\pi(x)\\, dx$$\n", "\n", "We don't know $\\pi(x)$ so we cannot compute this integral. We do know an alternative distribution $q(x)$ so we can add it into the integral without changing the value with\n", "\n", "$$\\mathbb{E}\\big[f(x)\\big] = \\int f(x)\\pi(x)\\frac{q(x)}{q(x)}\\, dx$$\n", "\n", "Now we rearrange and group terms\n", "\n", "$$\\mathbb{E}\\big[f(x)\\big] = \\int f(x)q(x)\\, \\, \\cdot \\, \\frac{\\pi(x)}{q(x)}\\, dx$$\n", "\n", "$q(x)$ is known to us, so we can compute $\\int f(x)q(x)$ using MC integration. That leaves us with $\\pi(x)/q(x)$. That is a ratio, and we define it as a *weight*. This gives us\n", "\n", "$$\\mathbb{E}\\big[f(x)\\big] = \\sum\\limits_{i=1}^N f(x^i)w(x^i)$$\n", "\n", "Maybe that seems a little abstract. If we want to compute the mean of the particles we would compute\n", "\n", "$$\\mu = \\sum\\limits_{i=1}^N x^iw^i$$\n", "\n", "which is the equation I gave you earlier in the chapter.\n", "\n", "It is required that the weights be proportional to the ratio $\\pi(x)/q(x)$. We normally do not know the exact value, so in practice we normalize the weights by dividing them by $\\sum w(x^i)$.\n", "\n", "When you formulate a particle filter algorithm you will have to implement this step depending on the particulars of your situation. For robot localization the best distribution to use for $q(x)$ is the particle distribution from the `predict()` step of the filter. Let's look at the code again:\n", "\n", "```python\n", "def update(particles, weights, z, R, landmarks):\n", " weights.fill(1.)\n", " for i, landmark in enumerate(landmarks):\n", " dist = np.linalg.norm(particles[:, 0:2] - landmark, axis=1)\n", " weights *= scipy.stats.norm(dist, R).pdf(z[i])\n", "\n", " weights += 1.e-300 # avoid round-off to zero\n", " weights /= sum(weights) # normalize\n", "```\n", " \n", "The reason for `self.weights.fill(1.)` might have confused you. In all the Bayesian filters up to this chapter we started with the probability distribution created by the `predict` step, and this appears to discard that information by setting all of the weights to 1. Well, we are discarding the weights, but we do not discard the particles. That is a direct result of applying importance sampling - we draw from the known distribution, but weight by the unknown distribution. In this case our known distribution is the uniform distribution - all are weighted equally.\n", "\n", "Of course if you can compute the posterior probability distribution from the prior you should do so. If you cannot, then importance sampling gives you a way to solve this problem. In practice, computing the posterior is incredibly difficult. The Kalman filter became a spectacular success because it took advantage of the properties of Gaussians to find an analytic solution. Once we relax the conditions required by the Kalman filter (Markov property, Gaussian measurements and process) importance sampling and monte carlo methods make the problem tractable." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Resampling Methods\n", "\n", "The resampling algorithm effects the performance of the filter. For example, suppose we resampled particles by picking particles at random. This would lead us to choosing many particles with a very low weight, and the resulting set of particles would be a terrible representation of the problem's probability distribution. \n", "\n", "Research on the topic continues, but a handful of algorithms work well in practice across a wide variety of situations. We desire an algorithm that has several properties. It should preferentially select particles that have a higher probability. It should select a representative population of the higher probability particles to avoid sample impoverishment. It should include enough lower probability particles to give the filter a chance of detecting strongly nonlinear behavior. \n", "\n", "FilterPy implements several of the popular algorithms. FilterPy doesn't know how your particle filter is implemented, so it cannot generate the new samples. Instead, the algorithms create a `numpy.array` containing the indexes of the particles that are chosen. Your code needs to perform the resampling step. For example, I used this for the robot:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def resample_from_index(particles, weights, indexes):\n", " particles[:] = particles[indexes]\n", " weights[:] = weights[indexes]\n", " weights.fill(1.0 / len(weights))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multinomial Resampling\n", "\n", "Multinomial resampling is the algorithm that I used while developing the robot localization example. The idea is simple. Compute the cumulative sum of the normalized weights. This gives you an array of increasing values from 0 to 1. Here is a plot which illustrates how this spaces out the weights. The colors are meaningless, they just make the divisions easier to see." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cumulative sume is [ 0.1 0.3 0.4 1.0]\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAv4AAABUCAYAAAD6fTMYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAI/5vdhshOR1AAAAAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x20fb09e6c88>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from kf_book.pf_internal import plot_cumsum\n", "print('cumulative sume is', np.cumsum([.1, .2, .1, .6]))\n", "plot_cumsum([.1, .2, .1, .6])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To select a weight we generate a random number uniformly selected between 0 and 1 and use binary search to find its position inside the cumulative sum array. Large weights occupy more space than low weights, so they will be more likely to be selected. \n", "\n", "This is very easy to code using NumPy's [ufunc](http://docs.scipy.org/doc/numpy/reference/ufuncs.html) support. Ufuncs apply functions to every element of an array, returning an array of the results. `searchsorted` is NumPy's binary search algorithm. If you provide is with an array of search values it will return an array of answers; one answer for each search value. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def multinomal_resample(weights):\n", " cumulative_sum = np.cumsum(weights)\n", " cumulative_sum[-1] = 1. # avoid round-off errors\n", " return np.searchsorted(cumulative_sum, random(len(weights))) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is an example:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x20fb0b05710>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from kf_book.pf_internal import plot_multinomial_resample\n", "plot_multinomial_resample([.1, .2, .3, .4, .2, .3, .1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is an $O(n \\log(n))$ algorithm. That is not terrible, but there are $O(n)$ resampling algorithms with better properties with respect to the uniformity of the samples. I'm showing it because you can understand the other algorithms as variations on this one. There is a faster implementation of this multinomial resampling that uses the inverse of the CDF of the distribution. You can search on the internet if you are interested.\n", "\n", "Import the function from FilterPy using\n", "\n", "```python\n", "from filterpy.monte_carlo import multinomal_resample\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Residual Resampling\n", "\n", "Residual resampling both improves the run time of multinomial resampling, and ensures that the sampling is uniform across the population of particles. It's fairly ingenious: the normalized weights are multiplied by *N*, and then the integer value of each weight is used to define how many samples of that particle will be taken. For example, if the weight of a particle is 0.0012 and $N$=3000, the scaled weight is 3.6, so 3 samples will be taken of that particle. This ensures that all higher weight particles are chosen at least once. The running time is $O(N)$, making it faster than multinomial resampling.\n", "\n", "However, this does not generate all *N* selections. To select the rest, we take the *residual*: the weights minus the integer part, which leaves the fractional part of the number. We then use a simpler sampling scheme such as multinomial, to select the rest of the particles based on the residual. In the example above the scaled weight was 3.6, so the residual will be 0.6 (3.6 - int(3.6)). This residual is very large so the particle will be likely to be sampled again. This is reasonable because the larger the residual the larger the error in the round off, and thus the particle was relatively under sampled in the integer step." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def residual_resample(weights):\n", " N = len(weights)\n", " indexes = np.zeros(N, 'i')\n", "\n", " # take int(N*w) copies of each weight\n", " num_copies = (N*np.asarray(weights)).astype(int)\n", " k = 0\n", " for i in range(N):\n", " for _ in range(num_copies[i]): # make n copies\n", " indexes[k] = i\n", " k += 1\n", "\n", " # use multinormial resample on the residual to fill up the rest.\n", " residual = w - num_copies # get fractional part\n", " residual /= sum(residual) # normalize\n", " cumulative_sum = np.cumsum(residual)\n", " cumulative_sum[-1] = 1. # ensures sum is exactly one\n", " indexes[k:N] = np.searchsorted(cumulative_sum, random(N-k))\n", "\n", " return indexes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may be tempted to replace the inner for loop with a slice `indexes[k:k + num_copies[i]] = i`, but very short slices are comparatively slow, and the for loop usually runs faster.\n", "\n", "Let's look at an example:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x20fb0a53080>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from kf_book.pf_internal import plot_residual_resample\n", "plot_residual_resample([.1, .2, .3, .4, .2, .3, .1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may import this from FilterPy using\n", "\n", "```python\n", " from filterpy.monte_carlo import residual_resample\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stratified Resampling\n", "\n", "This scheme aims to make selections relatively uniformly across the particles. It works by dividing the cumulative sum into $N$ equal sections, and then selects one particle randomly from each section. This guarantees that each sample is between 0 and $\\frac{2}{N}$ apart.\n", "\n", "The plot below illustrates this. The colored bars show the cumulative sum of the array, and the black lines show the $N$ equal subdivisions. Particles, shown as black circles, are randomly placed in each subdivision." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x20fb09ba4e0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from kf_book.pf_internal import plot_stratified_resample\n", "plot_stratified_resample([.1, .2, .3, .4, .2, .3, .1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The code to perform the stratification is quite straightforward. " ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def stratified_resample(weights):\n", " N = len(weights)\n", " # make N subdivisions, chose a random position within each one\n", " positions = (random(N) + range(N)) / N\n", "\n", " indexes = np.zeros(N, 'i')\n", " cumulative_sum = np.cumsum(weights)\n", " i, j = 0, 0\n", " while i < N:\n", " if positions[i] < cumulative_sum[j]:\n", " indexes[i] = j\n", " i += 1\n", " else:\n", " j += 1\n", " return indexes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Import it from FilterPy with\n", "\n", "```python\n", "from filterpy.monte_carlo import stratified_resample\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Systematic Resampling\n", "\n", "The last algorithm we will look at is systemic resampling. As with stratified resampling the space is divided into $N$ divisions. We then choose a random offset to use for all of the divisions, ensuring that each sample is exactly $\\frac{1}{N}$ apart. It looks like this." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x20fb08c8cc0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from kf_book.pf_internal import plot_systematic_resample\n", "plot_systematic_resample([.1, .2, .3, .4, .2, .3, .1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having seen the earlier examples the code couldn't be simpler." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def systematic_resample(weights):\n", " N = len(weights)\n", "\n", " # make N subdivisions, choose positions \n", " # with a consistent random offset\n", " positions = (np.arange(N) + random()) / N\n", "\n", " indexes = np.zeros(N, 'i')\n", " cumulative_sum = np.cumsum(weights)\n", " i, j = 0, 0\n", " while i < N:\n", " if positions[i] < cumulative_sum[j]:\n", " indexes[i] = j\n", " i += 1\n", " else:\n", " j += 1\n", " return indexes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "Import from FilterPy with\n", "\n", "```python\n", "from filterpy.monte_carlo import systematic_resample\n", " ```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Choosing a Resampling Algorithm\n", "\n", "Let's look at the four algorithms at once so they are easier to compare." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x20fb070ec50>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x20faeec4fd0>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x20faf553b00>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "<matplotlib.figure.Figure at 0x20faf536160>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = [.1, .2, .3, .4, .2, .3, .1]\n", "np.random.seed(4)\n", "plot_multinomial_resample(a)\n", "plot_residual_resample(a)\n", "plot_systematic_resample(a)\n", "plot_stratified_resample(a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The performance of the multinomial resampling is quite bad. There is a very large weight that was not sampled at all. The largest weight only got one resample, yet the smallest weight was sample was sampled twice. Most tutorials on the net that I have read use multinomial resampling, and I am not sure why. Multinomial resampling is rarely used in the literature or for real problems. I recommend not using it unless you have a very good reason to do so.\n", "\n", "The residual resampling algorithm does excellently at what it tries to do: ensure all the largest weights are resampled multiple times. It doesn't evenly distribute the samples across the particles - many reasonably large weights are not resampled at all. \n", "\n", "Both systematic and stratified perform very well. Systematic sampling does an excellent job of ensuring we sample from all parts of the particle space while ensuring larger weights are proportionality resampled more often. Stratified resampling is not quite as uniform as systematic resampling, but it is a bit better at ensuring the higher weights get resampled more.\n", "\n", "Plenty has been written on the theoretical performance of these algorithms, and feel free to read it. In practice I apply particle filters to problems that resist analytic efforts, and so I am a bit dubious about the validity of a specific analysis to these problems. In practice both the stratified and systematic algorithms perform well and similarly across a variety of problems. I say try one, and if it works stick with it. If performance of the filter is critical try both, and perhaps see if there is literature published on your specific problem that will give you better guidance. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "\n", "This chapter only touches the surface of what is a vast topic. My goal was not to teach you the field, but to expose you to practical Bayesian Monte Carlo techniques for filtering. \n", "\n", "Particle filters are a type of *ensemble* filtering. Kalman filters represents state with a Gaussian. Measurements are applied to the Gaussian using Bayes Theorem, and the prediction is done using state-space methods. These techniques are applied to the Gaussian - the probability distribution.\n", "\n", "In contrast, ensemble techniques represent a probability distribution using a discrete collection of points and associated probabilities. Measurements are applied to these points, not the Gaussian distribution. Likewise, the system model is applied to the points, not a Gaussian. We then compute the statistical properties of the resulting ensemble of points.\n", "\n", "These choices have many trade-offs. The Kalman filter is very efficient, and is an optimal estimator if the assumptions of linearity and Gaussian noise are true. If the problem is nonlinear than we must linearize the problem. If the problem is multimodal (more than one object being tracked) then the Kalman filter cannot represent it. The Kalman filter requires that you know the state model. If you do not know how your system behaves the performance is poor.\n", "\n", "In contrast, particle filters work with any arbitrary, non-analytic probability distribution. The ensemble of particles, if large enough, form an accurate approximation of the distribution. It performs wonderfully even in the presence of severe nonlinearities. Importance sampling allows us to compute probabilities even if we do not know the underlying probability distribution. Monte Carlo techniques replace the analytic integrals required by the other filters. \n", "\n", "This power comes with a cost. The most obvious costs are the high computational and memory burdens the filter places on the computer. Less obvious is the fact that they are fickle. You have to be careful to avoid particle degeneracy and divergence. It can be very difficult to prove the correctness of your filter. If you are working with multimodal distributions you have further work to cluster the particles to determine the paths of the multiple objects. This can be very difficult when the objects are close to each other.\n", "\n", "There are many different classes of particle filter; I only described the naive SIS algorithm, and followed that with a SIR algorithm that performs well. There are many classes of filters, and many examples of filters in each class. It would take a small book to describe them all. \n", "\n", "When you read the literature on particle filters you will find that it is strewn with integrals. We perform computations on probability distributions using integrals, so using integrals gives the authors a powerful and compact notation. You must recognize that when you reduce these equations to code you will be representing the distributions with particles, and integrations are replaced with sums over the particles. If you keep in mind the core ideas in this chapter the material shouldn't be daunting. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] *Importance Sampling*, Wikipedia.\n", "https://en.wikipedia.org/wiki/Importance_sampling\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 1 }