diff --git a/03_Gaussians.ipynb b/03_Gaussians.ipynb index 3a15464..e28eb50 100644 --- a/03_Gaussians.ipynb +++ b/03_Gaussians.ipynb @@ -768,6 +768,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ + "> I explain how to plot Gaussians, and much more, in the Notebook *Computing_and_Plotting_PDFs* in the \n", + "Supporting_Notebooks folder. You can also read it online [here](https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb)[1]\n", + "\n", "Probably this is immediately recognizable to you as a 'bell curve'. This curve is ubiquitous because under real world conditions many observations are distributed in such a manner. In fact, this is the bell curve for the student heights given earlier. \n", "\n", "This curve is not unique to heights - a vast amount of natural phenomena exhibits this sort of distribution, including the sensors that we use in filtering problems. As we will see, it also has all the attributes that we are looking for - it represents a unimodal belief or value as a probability, it is continuous, and it is computationally efficient. We will soon discover that it also other desirable qualities that we do not yet recognize we need.\n", @@ -1245,7 +1248,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "If we look at the documentation for `scipy.stats.norm` here[1] we see that there are many other functions that norm provides.\n", + "If we look at the documentation for `scipy.stats.norm` here[2] we see that there are many other functions that norm provides.\n", "\n", "For example, we can generate $n$ samples from the distribution with the `rvs()` function." ] @@ -1332,7 +1335,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "There are many other functions available, and if you are interested I urge you to peruse the documentation. I find the documentation to be excessively terse, but with a bit of googling you can find out what a function does and some examples of how to use it. Most of this functionality is not of immediate interest to the book, so I will leave the topic in your hands to explore. The SciPy tutorial [2] is quite approachable, and I suggest starting there. " + "There are many other functions available, and if you are interested I urge you to peruse the documentation. I find the documentation to be excessively terse, but with a bit of googling you can find out what a function does and some examples of how to use it. Most of this functionality is not of immediate interest to the book, so I will leave the topic in your hands to explore. The SciPy tutorial [3] is quite approachable, and I suggest starting there. " ] }, { @@ -1539,6 +1542,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ + "[1] https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb\n", + "\n", "[1] http://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.norm.html#scipy.stats.normfor\n", "\n", "[2] http://docs.scipy.org/doc/scipy/reference/tutorial/stats.html" @@ -1561,7 +1566,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.4.3" + "version": "3.4.1" } }, "nbformat": 4, diff --git a/08_Nonlinear_Filtering.ipynb b/08_Nonlinear_Filtering.ipynb index f3298fe..871bf3a 100644 --- a/08_Nonlinear_Filtering.ipynb +++ b/08_Nonlinear_Filtering.ipynb @@ -16,19 +16,11 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The autoreload extension is already loaded. To reload it, use:\n", - " %reload_ext autoreload\n" - ] - }, { "data": { "text/html": [ @@ -38,7 +30,7 @@ "@import url('http://fonts.googleapis.com/css?family=Arimo');\n", "\n", " div.cell{\n", - " width: 850px;\n", + " width: 900px;\n", " margin-left: 0% !important;\n", " margin-right: auto;\n", " }\n", @@ -245,7 +237,10 @@ " },\n", " displayAlign: 'center', // Change this to 'center' to center equations.\n", " \"HTML-CSS\": {\n", - " scale:85,\n", + " scale:100,\n", + " availableFonts: [\"Neo-Euler\"],\n", + " preferredFont: \"Neo-Euler\",\n", + " webFont: \"Neo-Euler\",\n", " styles: {'.MathJax_Display': {\"margin\": 4}}\n", " }\n", " });\n", @@ -255,7 +250,7 @@ "" ] }, - "execution_count": 2, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } @@ -375,9 +370,9 @@ "outputs": [ { "data": { - "image/png": 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27FBAqQROnjSCYRgwDI9Llyy4cIERxzF1qh7//rcSBw5YipyZtG25bfu8Hc3M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\n1dDQoBEjRkSMLVy4UPn5+Tp06JB8Pp+ampoixo0x+v333+X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+ "image/png": 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/eJ5HRITW7fkFBirLVgoLeWRlqbB9u4CxY83o2pVhw4bbyMkp/YbgiSes+Otf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\nTtXp06ddqDT8rF27VpMnT5bX65XP51NWVpZOnTp1xzj6176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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -428,16 +423,16 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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fWr030kEGmGR8/wugLJmGyY6mwAREYiEFwwGl0+kh5WUACouPwwDKij/gUzKV\nYIMkYIJyaz5I1oHJxww7gLLhD/h0Oeij0wVQAKZpyjRMRaK0RAUmGwk7gLIRDAeUyWScDgMoaYlk\nXMlUQlJ/WUy8LyqJzjHAZJpwwr5nz57+T9kD/rS2tg4ZM2fOHNXU1GjFihU6c+ZM3vm+vj5t27ZN\nzc3NmjFjhtavX69Lly5NNDQAGCI3Kwjg+ozUjz0YDtgLugEUVkHetRYtWqSOjg77z0cffWSfe+aZ\nZ/Tcc8/pwIEDOnHihLxer1atWqXe3l57zPbt2/XOO+/orbfe0gcffKBwOKyHH35Y2Szt1QAUnmmS\nsAOFkkjG5e/6wp51B1B4BVlx5XK55PV6hxy3LEvPP/+8du3apUcffVSSdPDgQXm9Xr355pvasmWL\nQqGQXn31Vb322mt68MEHJUmvv/665s+fr/fee0+rV68uRIgAykzuq/lcn+iLnZ+TUACTIBzrliSl\nM2lVVngcjgaYngoyzfTZZ59pzpw5uvnmm7Vx40ZduHBBknThwgV1dnbmJd0ej0f33Xefjh8/Lkk6\nefKkUqlU3pi5c+dq8eLF9hgAGK/c1/P+gE/nfWcV6Paz2BSYZKZh6rzvLLXsQIFNOGG/5557dPDg\nQR0+fFj/+I//qI6ODrW1tam7u1sdHR2SpFmzZuVd4/V67XMdHR1yuVxqamrKGzNr1ix1dnZONDwA\nZS4YDuhKqENZi8WmwGSLxEK6Euqglh0osAmXxKxZs8b+/dZbb9Xy5cu1YMECHTx4UHffffeI1xmG\nMdF/Wh9++OGEHwOYCrxWp17SFbF/t4yMTMOlTKb/pyT795F+jjbmes8V/fXuEo+/hGMr9etz53Ii\nkciU3fe4v6JULFy48LqvLfjKq5qaGi1ZskTnz5/X7NmzJWnITHlnZ6daWlokSS0tLcpkMgoGg3lj\nOjo67DEAAKB01FTXqrKWxd1AoRR8m79EIqGzZ8/qgQce0IIFC9TS0qIjR45o6dKl9vmjR4/q2Wef\nlSQtXbpUFRUVOnLkiDZu3ChJunjxos6dO6e2trZR/61ly5YVOnygoHIzP7xWp95H56/OukXjEZmm\nIZfLJdPs/3Yv9/tIP0cbc73niv36nFKNv5RjK/Xr7XOGqayVVSIVVW11nX3vG7wIvBC4v6LUhELX\nv8nYhBP2n/zkJ1q3bp3mzZunQCCgn/70p4rH4/re974nqb9l4759+7Ro0SItXLhQe/fuVV1dnTZt\n2iRJqq8Smb0dAAARlElEQVSv15NPPqmdO3fK6/WqsbFRO3bs0O23366VK1dONDwAADBFTNNUNjO0\nJXOupr2QCTtQTiacsF+6dEkbN27UlStX1NzcrOXLl+u//uu/NG/ePEnSzp07FY/H9dRTT6mnp0f3\n3HOPjhw5otraWvsxnn/+ebndbm3YsEHxeFwrV67UG2+8UZA6dwDlYfAMnmVZcpkuJZIxJ8MCypJp\n9G9Q5g/4SNKBAphwwv7P//zPY47ZvXu3du/ePeL5yspK7d+/X/v3759oOADKVDAcsHcw9Ta2yrIs\nRWIhdjUFHGCapiKxkLJWVq3eG2VZFpNwwATwTgZg2ojEQgqGA0qn0/YxdjUFnGdZltMhACWNdzIA\n005Xz2VlMumxBwKYVG6zUud9Z5XJpFVVUe10OEDJKniXGABwSq78pTvSxUZJQBGIJkJKZ9Jyu9zy\nkLAD142EHUBJ8wd8iiWiSqYSMs3+hW6pTNLpsAAMYzLaOwLlgIQdQMnyB3y6HPQplU5JktwutyKx\nkNwubm1AsUkk44qEelRZ4SFhB8aJdzUAJSc3SxcMB+xkHUBxC8e6lc6kVVnhcToUoOSw6BRAyQmG\nA/ZGLABKS64/O4BrR8IOAACmTDQesT9w+wM+knfgGpCwAyhJpmEqmepzOgwA45TbGyG3BqU3HiFx\nB8ZAwg6gpPgDPiVTfYrEQrKsrCSxmylQYkzDtBeMeyqqKXMDxsCiUwAlYeBC01yinmOaprKZ7HCX\nAShCkVjI6RCAksK0FICiNPgr8iuhTmbggGlk8DdjLEYFRsYMO4CilEvOvY2tcrvdsixLhmHIsiyH\nIwNQCIO/GcvNuscSUdV4aunVDgzADDuAopZOp+UP+JTJpGUaptL0XQemlUQybi8gj8YjuhLq4Ns0\nYBASdgBFaeBMejAcUNbKKBILKWtlHIwKQKGFY91XF5CbV9MSOscAV5GwAyhKlmXJNExFoixOA8pN\nrosMM+1AP2rYARSddDotqb+mtcJVpWQq4XBEAKZSrp69ruYGhyMBigMz7ACKTi5hl/q/Lk9Rtw6U\nJ0uUxQBihh0AABQZ0zCVtbL9H9gzfTINl1qa5zgdFuAYEnYARcUf8CnRF1cmkx57MIBpaWDLx0gs\npLrqBocjApxFwg7AMbmvulu9N8of8CmeiOmr6BV6rQPIk0jG5Q/46M2OskXCDsAxAzdHCoYD6kvG\nlc6k5XZxawJwVTjWrUy2v6Vr7gN+Za2pZDQ7xpXA9MC7IgDHXe76kk4wAEYVTYSUtfpL5YLhgLJG\nVpW1pDEoD7zSATjKNEx1fXVZqXSKmXUAo+rfPK1/Vj2ejMrK9HeVcru5d2B64xUOYMoNbNMWiYVI\n1AFcs6qKavWl4nKZLqUzGRJ2lAVe4QCmVDqdVjAckGmYSqb6nA4HQKmxRAkdyg4JO4BJlZv98gd8\niiWiqq9tlMTMOoDrE451K51JyzRc9jFm2THd8eoGMKnS6bQC3X5dDn6pVDqpbDbL7BiAgqiprlUk\nGlJdbb3cbjeJO6Yt0+kAAEw/6fTVTY+6ei7rctAn6+uFYuFYtzKZjFOhAZhGoomw4n1R++8D7z3A\ndMLHUAAFMXAhaYWrSs1Ns+QP+IbtADNwF0MAKAR/wKcKV5U8Ho/ToQAFR8IOYEJytemhaFCVFf1v\nlFXuaqUyff29ki1m0wFMnkQyLn/XF+rp7VJd9Q0KRbtV46lVq/fGvDU0ktgpFSWLhB3AhATDAUXj\nEUmSp7JGiWRMfcm4Upk+atUBTLpwrFuSlM6k7QWp9ekmSVLjTK/cbre9qzIJO0oVNewACiYSCymV\nTg35HQCmUjQRspN0f8CnZKpPVRXVDkcFXD8SdgATZhpm3s/BvwOAE/IWvVv5a22AUkJJDIAJyy0i\nHbiYlIWlAJxkGmbeovdwrFupzNXN2mKJqF3rDhQ7EnYA4zZwloo6dQDFaLjN2SKxkLJft5iNxiOq\nTdaRsKMkkLADuGb+gE+m4VIwHJBpmEok40NaNgJAMeu/d8WcDgMYF95lAYxqYDu0YDigKne1kqkE\niTqAkhSNR+xZdtMw9X++c5Kkak+NPdvOjqkoNrwaAYwq12nB29gqqb+FWjZLbTqA0mSvuTFMRWIh\nxV39O6XGkv1dZGKJqOprG9XcNMvJMIE8JOwA8gycUc+1Q/NUVst3+f/senUWlAIodcPdx3L7SlS6\nqxyKChgefdcAyB/w2Yl6MBywZ9WD4YAsK6tILKTuSIC+6gCmLdMw7UmJRDKu876ztIFE0WCGHShz\n/oBPl4M+VVZ47LIXSbrY+TkdYACUjUgsZO8fMXjHVEkyDZdamuc4FR7KHAk7UGb8AZ/df1iSLgd9\nymQyUoV0uetLJVMJeSprFOj2s7AUQFkZXCYTTYSUziYlSfU1jfbxgaWDwFTgnRgoM7kazdpknSTZ\nSfnATUYymYhMk4o5AMi1sM2VyRgy9FX0iiorPF+fZ+Ydk4+EHShTg3sRD9xkhGQdAPrl7o25Mhm3\ny610Jq26mhsUDAdUX9Ooi52fyzRMZtwxaUjYgTKQvzNp/9bcA+s1AQDj46moVl+qf+a9Nx5SVWX/\njDtJOyYDCTswDV3s/Fxus0JZKzNoZ9KYLMuSaZjKWlnaMwLAdUok40qmEupLxiX1T4JUuKvyJkgo\nl0GhkLAD00DuDcLb2Cq3261gKKDqylpF4j1qru/v/JLb3c/tcpOoA8AEDSyRsVmyu25JUpW7Wlkr\nI4nkHRNDwg6UqIHdXq6EOuUyXUr0xeWp6t+tL/dmkpsFIkkHgMmVu+/WVM1UrC+svmRcqUyfEsm4\n6qob1BsP22NrPLWUz+CaFV0B64svvqgFCxaourpay5Yt09GjR50OCSgKFzs/lz/gUzqd/rp3+pfq\nDgfUE7midDplb27UE7miTCZtXxeOdbPhEQBMoWgiZN93I7GQLCurcKxbV0Id6g4HdCXUoVDvV/IH\nfPa93R/wqaPrksORo1gV1Qz722+/re3bt+ull17St771Lf3sZz/T2rVrdebMGc2bN8/p8ICCGdzD\nN51Oy+12250GslZWbrNCLc1zdLHzcyX64gpHe1RRUalMJqPAV5f6a9FNM6+7i6QhfwcAFI/ct53R\nREhZK62+ZELVVTMU6wvbJYy594R0Oq1At1+xRFQSs/LlrKje1Z977jl9//vf15NPPilJ2r9/vw4d\nOqSXXnpJ+/btczg6oHCC4YDcZqVd0pLJZORyuRQMBeR2udWXTGhGdb2yVkbBUEDxvuiQXukk5QBQ\n2nITLNFEyC5h9Ad8apzpVaDbr0RfXD29XUqlUzINU/Fkf8KeK4mURk7i2dxpeimad/xkMqlTp05p\n586decdXr16t48ePOxQVcFVuxmMsAzsEeOpdkqTzvrOS+m+sWSvb31nAiiubzaovVae+ZEJVlR5l\nMmk7OQ/HupXK9OWVtzB7DgDTV+6+n0vULctSNtu/9sg0TZmGqf/zndNX0SvKZDLKWlnVpertBa25\n96n+skmf6mpuyHt8kvjSVTTv/Feu9L/4Zs2alXfc6/Wqo6PDoagwHY13g4vc+NwsuCTFElHNqJ6p\ndDalRF9chgxZsuwd8PoXHEW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MSNjRTGzbZu0BIGAYYQeAaVRGGikVQLMwDVOZbMrvMABMQMIOANOojDTSwhHN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\naZiKDfx/kqRIW7t3fq4k7LM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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -460,22 +455,30 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This is an unsurprising result. The result of passing the Gaussian through $f(x)=2x+1$ is another Gaussian centered around 1. Let's look at the input, transfer function, and output at once." + "This is an unsurprising result. The result of passing the Gaussian through $f(x)=2x+1$ is another Gaussian centered around 1. Let's look at the input, nonlinear function, and output at once." ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 39, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6069\n", + "0.398942280401\n" + ] + }, { "data": { - "image/png": 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ammtRVJmHltZmnClKQ1NrQ5t9ZYIc/bwGY3DAWNjZOJowS6LuoaG5DkcubkNR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\nmH7KZsts8QAAAABJRU5ErkJggg==\n", 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BHMvBoDfDIBgzkXkG0QS3rZS8KwhiFPL2fT4UCuGzn/0sQqEQdu/ejVAohFAoFSDgcrnA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\nULuwCjeuug4bbrs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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -483,19 +486,22 @@ } ], "source": [ - "from nonlinear_plots import plot_transfer_func\n", + "from nonlinear_plots import plot_nonlinear_func\n", "\n", "def g1(x):\n", " return 2*x+1\n", "\n", "with book_format.figsize(y=5):\n", - " plot_transfer_func(data, g1, gaussian)" + " plot_nonlinear_func(data, g1, gaussian)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "> I explain how to plot Gaussians, and much more, in the Notebook *Computing_and_Plotting_PDFs* in the \n", + "Supporting_Notebooks folder. You can also read it online [here](https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb)[1]\n", + "\n", "The plot labeled 'input' is the histogram of the original data. This is passed through the transfer function $f(x)=2x+1$ which is displayed in the chart on the bottom lweft\n", ". The red lines shows how one value, $x=0$ is passed through the function. Each value from input is passed through in the same way to the output function on the left. For the output I computed the mean by taking the average of all the points, and drew the results with the dotted blue line. A solid blue line shows the actual mean for the point $x=0$. The output looks like a Gaussian, and is in fact a Gaussian. We can see that it is altered -the variance in the output is larger than the variance in the input, and the mean has been shifted from 0 to 1, which is what we would expect given the transfer function $f(x)=2x+1$ The $2x$ affects the variance, and the $+1$ shifts the mean The computed mean, represented by the dotted blue line, is nearly equal to the actual mean. If we used more points in our computation we could get arbitrarily close to the actual value.\n", "\n", @@ -504,16 +510,16 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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bpbKmDDlFGaitq8G5nMOorqtscFuZIEcXr97o7T8cDnZOFkxJ1DpU1pTj6OUd\nyCkyfg3wce2EUN+B6ODW2cLJTCM4OFj3mLcpJyJqG1hU30dlTRlOXN2L7DsXIOL+f1UqBw+M7PEY\nnBR8IyVqjCiKuF54ERdyjyOv5JrRbbxc/ODp7Ic6TQ3sbOwR4tMfSjtnCyd9eCyqiYjaHkmL6pb+\nZnM2Mwnf7PsUldXljW7nZO8KrVaDkIBemBnzRzg5uFgooXkkJ9+9UU14eLjESUyD59OyJScnI+3G\nUZzM2n/fbd2cPfHy7A/hrHS1QLKma03XOSIiMg3Oqf4drajF9bxMHDu/H0fO7Wl0dNrF0Q2vzP4b\nMtKvALCeIofI0kJ9B8HFzRGHz+5Graamwe2KSvPxv2vmITSgHzp37InwkOFwc/awYFIiIiLjWFTf\nU1tXi9Srx7Ez6TvkFRqu4gEA7Zw94WDvhOKyArg5eWDOmOehcmoH4IplwxJZGUEQMG34AkweMhfp\n11KwJX4NCtR5DW5/PvsUzmefwi+JGxDcMQyBPl2h0WgwqMcoeLn5WjA5ERHRXW22qC6vKkVdXS3s\nbO2xI3EDjl84gOraKqPbygQZJg15EtF9J0Muk1s4KVHbIZfboEdQOII7hiEtKxkF6jzUamqxK+k7\no9trRS0uXj+Di9fPAAASzu7E3LEvolfngZaMTURE1LaK6oqqMuw5vgnJFxNQWlH8QPvYyu0wf8Ir\n6NkpwszpiKiena0CfYOH6J4PDRuHVZteQ776ZqP71dRW4T87VqJLhx7o4BkEZ6UrunToiQDvLpDL\n29TljoiILMzq32UqqysQd2o7zmedRE7+FWhF7X33EQQZQvx6wd87GIN7jIK7ytsCSYmoIc5KFV5+\n7COczzoJjVYDdVkhjpzbjcLSfKPbX76Rhss30nTPFXYO6OLbA55uvujoGYQ+wZGws1FYKj4REbUB\nVlFUa7UalFWWok5Ti6s305GdlwFR1KKyuhypV5NRUVX6QK/jaO+MPl0iMbxPLHzc/cycmogehoPC\nEf1DhuueD+s9AbuPfY/Uqydwu+hGo/tW11QiLSsZyLr7/KfDX2FA6Ah08ukGd1V72Ns5QGFnD6WC\n68oTEVHTtKqiurSiGDZyOyjs7JF54zyu5V1Gzu1MXMg+jYrqsod+PQGCbnWPoWHjMHXYfNjZcvSK\nqDWwt3PA1GHzMHXYPAB3R6e3H16P7FuX7rtvSUURfk3+waDdU+WDrn69EOwXBk9XXygVjnC49yMI\ngqlPgYhjtlmUAAAgAElEQVSIrEiLKKqLSvNRVHoHjvZ3b+pQWJqPqzfTUVhyG2WVJVDY2uOO+hau\n385s9rEc7Z0R1ScWI/pNhSDIkHvnKpT2zvB09Wn2axORdLp06IE/P/oBrt++gqyb6aipq0bO7Su4\neP0syozcEt2YfPVN5Ktv4kjqHr12F0c39OkyGO4u7aEVNdBqtVDaO8HN2ROB7bvCQeEIjbYONnJb\nc5waERG1ApIW1et3f4z8olxcu33ZrMexkdsipu9kDOoxCu4uXpD9ZgWPgPZdzXpsIrIsP69O8PPq\npHuuFbW4eScbuQXZuHrzIo6fP4CauuqHes2S8iIknNnZYL9cZgONtg7uKm/4eXXG9CF/bHJ+IiJq\nnSQtqk9eTDDZa9nK7WBrq4CL0hXd/PvAzdkTNnIbeLl1gJ93Z86VJGqjZIIMHTyD0MEzCBHdojFx\n8OM4n3UKmTfScLvoBorLClBbV4PSSjW0Wk2TjqHR1gEACtR5KFDnsagmImqDWsT0j6aQyeTo1Xkg\ngny6wd+rCwJ9QriGNBHdl6O9MyK6RSGiW5Ree3VtFTJvnEdGzllk511GRVUZKqvLoS4vbHKxTURE\nbYcgimLD9+E2A7X6weY2EhFZA5VKJXUEIiKyAJnUAYiIiIiIWjsW1UREREREzWTx6R9ERERERNaG\nI9VERERERM3EopqIiIiIqJkkL6qffvppdOnSBUqlEl5eXpg6dSouXLggdawmKSoqwuLFi9G9e3co\nlUr4+/tj4cKFKCwslDpak/373/9GTEwMXF1dIZPJcO3aNakjPbTVq1cjKCgIDg4OCA8Px+HDh6WO\n1CQJCQmYPHkyOnbsCJlMhvXr10sdqVlWrlyJiIgIqFQqeHl5YfLkyUhLS5M6VpN99tln6N27N1Qq\nFVQqFSIjI7FzZ8M3jCEiIusieVEdERGB9evXIz09HXv27IEoihg1ahTq6uqkjvbQcnNzkZubiw8/\n/BCpqanYsGEDEhIS8Nhjj0kdrckqKysxbtw4rFixQuooTfL999/jhRdewBtvvIGUlBRERkZi/Pjx\nuH79utTRHlp5eTl69eqFTz75BA4ODhAEQepIzRIfH49Fixbh6NGjOHDgAGxsbDBq1CgUFRVJHa1J\n/Pz88MEHH+D06dM4efIkRowYgalTp+LMmTNSRyMiIgtocV9UPHv2LPr06YOLFy8iODhY6jjNtmvX\nLsTGxkKtVsPJqfXe1TE5ORkDBgxAVlYW/P39pY7zwAYOHIg+ffrgX//6l66ta9eumDFjBt577z0J\nkzWPs7MzPvvsM8ydO1fqKCZTXl4OlUqF7du3Y+LEiVLHMQl3d3e8//77ePrpp6WOQkREZib5SPVv\nlZeXY+3atQgODkZQUJDUcUxCrVZDoVBAqVRKHaXNqampwalTpzBmzBi99jFjxiAxMVGiVNSQkpIS\naLVauLm5SR2l2TQaDTZu3IiqqioMHz5c6jhERGQBLaKoXr16NZydneHs7IwdO3bgl19+gY1Nq72D\nuk5xcTHefPNNPPPMM5DJWsRfdZty584daDQaeHt767V7eXnh1q1bEqWihixZsgR9+/bF4MGDpY7S\nZOfOnYOTkxPs7e3xzDPPYNOmTQgJCZE6FhERWYBZKr033ngDMpms0Z+EhATd9nPmzEFKSgri4+MR\nGhqK8ePHo7S01BzRmuRhzwcAysrKMGnSJN08y5akKedDZE4vvfQSEhMT8cMPP7TqueLdunXD2bNn\ncfz4cSxatAizZ89GcnKy1LGIiMgCzDKnuqCgAAUFBY1u4+fnBwcHB4P22tpauLm54bPPPsNTTz1l\n6mhN8rDnU1ZWhgkTJkAQBOzatavFTf1oyu+nNc6prqmpgaOjIzZu3Ijp06fr2v/0pz/h/PnziIuL\nkzBd81jTnOoXX3wRmzZtQlxcHLp27Sp1HJMaPXo0OnbsiLVr10odhYiIzMwscyzc3d3h7u7epH21\nWi1EUYRWqzVxqqZ7mPMpLS3F+PHjW2xBDTTv99Oa2NnZoX///ti7d69eUb1v3z7MnDlTwmRUb8mS\nJdi8ebNVFtTA3bnVLelaRkRE5iPpxOXMzExs2bIFo0ePhoeHB3JycvD+++/D3t4esbGxUkZrktLS\nUowZMwalpaXYtm0bSktLddNY3N3dYWtrK3HCh3fr1i3cunULly5dAgCkpaWhsLAQAQEBreILZS+9\n9BKefPJJDBgwAJGRkfj8889x69YtPPvss1JHe2jl5eXIyMgAcPcfn9nZ2UhJSYG7uzv8/PwkTvfw\n/vSnP2HDhg3Ytm0bVCqVbp67s7MzHB0dJU738F577TXExsaiY8eOKC0txbfffov4+Hjs3r1b6mhE\nRGQJooSuX78ujh8/XvTy8hLt7OxEPz8/cc6cOeLFixeljNVkcXFxoiAIokwmEwVB0P3IZDIxPj5e\n6nhNsmzZMr3zqP9z/fr1Ukd7YKtXrxYDAwNFhUIhhoeHi4cOHZI6UpPU//f1+//G5s+fL3W0JjH2\n/4ogCOKKFSukjtYk8+bNEwMCAkSFQiF6eXmJo0ePFvfu3St1LCIispAWt041EREREVFrw3XeiIiI\niIiaiUU1EREREVEzsagmIiIiImomFtVERERERM3EopqIiIiIqJlYVBMRERERNROLaiIiIiKiZmJR\nTURERETUTCyqiYiIiIiaiUU1EREREVEzsagmIiIiImomFtVERERERM3EopqIiIiIqJlYVBMRERER\nNROLaiIiIiKiZmJRTURERETUTCyqiYiIiIiaiUU1EREREVEzsagmIiIiImomFtVERERERM3EopqI\niIiIqJlYVBMRERERNROLaiIiIiKiZmJRTSb36aefokePHlAqlZDJZFixYoXUkR7aunXrIJPJsH79\neqmjEBERUSvAoppMauPGjViyZAk0Gg2WLFmC5cuXIyYmRupYBuqL5oYKfkEQdD9ERCQdmUyGoKAg\nSTPc7z2DCABspA5A1mXHjh0AgK+++goDBgyQOM39NVQ0T5s2DYMHD0b79u0tnIiIiH6vpQxwtJQc\n1DKxqCaTys3NBQB4e3tLnOTBiKJotN3FxQUuLi4WTkNERC1ZQ+8ZRACnf5CJLF++HDKZDAcPHgQA\nBAUFQSaTQSaTITs7GzKZDPPnzze677x58yCTyXDt2jVdW1ZWFmQyGWJiYlBQUIBnnnkGPj4+sLe3\nR8+ePbFu3boGs+zbtw+TJ0+Gt7c37O3t4efnh9jYWN0o+rx587BgwQIAwIoVK3Q5ZTIZEhISADQ+\npzolJQWzZs2Ct7c3FAoF/P398Yc//AFZWVkN/r2sX78ecXFxiI6OhouLC1QqFWJjY5Genv4gf71E\nRC3ajz/+iJiYGKhUKjg4OCA0NBTLli1DeXm53naBgYENTuX4/XX34MGDkMnulin17wn1P799P6mf\nHqJWq7Fw4UL4+vrCwcEBPXv2xOrVqw2OU/+6DU3liI6O1h0XeLD3DCKAI9VkIjExMRAEAevWrUN2\ndjZeeOEFuLq66m3T2MdmDfUVFxdjyJAhUCgUmDVrFqqrq7Fp0yYsWLAAMpkMc+fO1dt+2bJlePvt\nt+Hk5ISpU6fC398fN2/eRFJSEr788kvExsZi2rRpUKvV2L59O6KjoxEdHa3bPzAwsNFcu3btwrRp\n0yCKIh555BF07twZZ86cwZdffomtW7fiwIED6N27t8F57NixA9u3b8eECRPw3HPPIS0tDTt37sSJ\nEydw/vx5uLu7N/h3Q0TUkr311lt455134O7ujscffxyurq7Yu3cv3n77bfz00084dOgQnJycdNvf\nbwpFfX9QUBCWLVuGFStWQKVS4cUXX9Rt06dPH719ampqMGrUKJSWlmLOnDmoqqrC5s2bsWjRIly6\ndAmrVq1q8DiNZQDQ6HtGQEBAo+dCbYxIZEJRUVGiIAhidna2ru3q1auiIAji/Pnzje7z1FNPNbiP\nIAji008/LWq1Wl3f+fPnRRsbGzE0NFTvdfbs2SMKgiAGBQWJOTk5Bsf5bdvatWtFQRDEFStWGM1U\n379+/XpdW1lZmejh4SHa2NiIBw8e1Nv+iy++EAVBEMPCwvTaly1bJgqCINra2ooHDhzQ61u6dKko\nCIL4wQcfGM1ARNTSHT16VBQEQfTz8xNv3ryp11d/bV+0aJGuLSAgQAwKCjL6Wsauu6Io6q7rDal/\nrxg2bJhYU1Oja79z544YFBQkCoIgJiYm6trj4uIavf5HRUWJMpnMaLaG9iESRVHk9A9q0RwdHfHx\nxx/rjRp0794dkZGRSE9PR0VFha79008/BQB8+OGH6NChg8FrGWt7GNu2bUNBQQGmT5+OqKgovb4F\nCxagX79+SE1NRVJSksG+s2fPNlgF5ZlnngEAnDhxolm5iIik8sUXXwAAXn/9dYMvdn/wwQewt7fH\nunXroNFozJpDEASsXLkStra2ujZ3d3csXboUALB27VqzHp8I4JxqauGCg4P1Pjas5+fnB1EUUVRU\npGtLSkqCIAgYP368WbKcOnUKADBixAij/aNGjQIAnD592qAvPDzcoK1jx44AoHcOREStSWPXRS8v\nL4SFhaG8vByXLl0yaw4bGxtERkYatNcPgKSkpJj1+EQAi2pq4X4/L7uejc3drwP8dvSjuLgYLi4u\nUCqVZsmiVqsBoMFl9urbi4uLDfqMnYexcyAiak3UajUEQWjwuujj4wPA+HXRlDw8PIzOkfby8gLw\n3+s3kTmxqCazq/8WdV1dndF+U11sXV1dUVJSYvBtc1NRqVQAgFu3bhntv3nzpt52RETWrv56V3/9\n+73fXxdlMplZ3gvu3LljdLm7vLw8vePXZwDM/55EbQ+LajI7Nzc3AMD169cN+urq6nD69GmTLKg/\nePBgiKKIXbt23XdbuVwO4OFGifv37w8AOHDggNH++vb67YiIrF3//v0hiiLi4uIM+m7fvo3U1FQ4\nOTkhJCQEwN33g7y8PKMFbUPfLxEE4b7X6rq6Ohw5csSgPT4+HgDQt29fXVv9e9Jvl3Gtp1arjU5V\nacp7BrU9LKrJ5H5fIDs7O6N79+44fPgwUlNTde2iKGLFihVGi+2mWLx4MQDglVdeQU5OjkH/jRs3\ndI89PDwAANnZ2Q/8+lOnToW7uzu2bNmCQ4cO6fWtW7cOJ0+eRM+ePTFw4MCmxCcianXq129+7733\ndKPCwN3r+6uvvorKyko89dRTuqJ00KBBqK2txZo1a/ReZ8+ePdi4caPRY7i7uyM/Px9VVVUN5hBF\nEa+//jpqamp0bXfu3MHKlSshCILeutbdu3eHSqXCtm3b9DLX1dXhhRdeMHqcprxnUNvDdarJ5Ix9\nBPfqq69i3rx5GDp0KGbOnAlHR0ccOXIEOTk5iI6O1t00pjlGjx6NN998E2+//TZCQ0MxZcoU+Pv7\n4/bt20hKSkKXLl2wdetWAEBkZCQcHR2xceNG2Nrawt/fH4IgYO7cufD39zf6+kqlEuvWrcP06dMx\natQoTJ8+HUFBQTh79ix27twJNzc3fPXVV80+DyKi1mLQoEFYunQpVq5ciZ49e2LmzJlwcXHBvn37\ncPr0afTq1QsrV67Ubf/8889j7dq1WLRoEQ4cOIDAwECcP38e+/btw/Tp07FlyxaDY4wZMwbffvst\nxo0bh2HDhkGhUKBPnz6IjY3VbePj44PKykqEhYVh8uTJqKqqwpYtW5CXl4clS5Zg0KBBum1tbGzw\n4osvYvny5ejbty+mTp0KQRAQFxcHQRDQu3dvnDlzRi9DU94zqA2SbjU/skbR0dGiTCbTW3O63vr1\n68WwsDBRoVCInp6e4hNPPCHm5OSI8+bNM9infp3qmJgYo8cxtk+93bt3ixMmTBDd3d1FOzs70c/P\nT5w0aZK4c+dOve327dsnDh06VHR2dhYFQRBlMpkYHx8viuLdNUllMpnBeqmiKIqnTp0SZ8yYIXp5\neYm2trZix44dxQULFohXr1412Hb58uUNvo4oio2eIxFRa7F582YxKipKdHFxERUKhdi9e3fxzTff\nFMvKygy2PXr0qDhixAjR0dFRdHFxEUeOHCkePnxYXLdundHrZX5+vjh37lzRx8dHlMvlokwm07vv\nQf061mq1WnzuuedEX19fUaFQiD169BA/++yzBjN/9NFHYnBwsGhnZyf6+vqKCxcuFAsLC3XvY7/X\n2HsGkSiKoiCKvJE9ERERtU4ymQyBgYG4cuWK1FGojeOcaiIiIiKiZmJRTURERETUTCyqiYiIiIia\nyeJzqnlXIyJqS9rSzYB4fSeituT313eOVBMRERERNROLaiIiIiKiZpL05i8P+7HouSvH8f2B/0NJ\neZFBn3e7jnh81GIE+YSYKt4DS05OBgCEh4db/NjmYI3nEx4RAVjJ6pHW+PsBrOd8AE6DAIA31z2F\nIWHj8OiIZ6WO0qjW+N8fM5tfa8sLMLOlNHZ9N9tI9cqVKyGTyXS3jjaFsE4D8PqcTzGge4xBX15h\nDlZtXopth9aiprbaZMckIqK7RFHE+PHjIZPJ8MMPP9x3+2t5GRZIRUTUMpilqE5KSsKaNWvQq1cv\nCIJg0tdW2jthzpgl+OPkN6ByctfrE0UtDpzajr9+8wIyclJNelwiorbub3/7G+RyOQA80LX9+u1M\nFKjzzB2LiKhFMHlRrVarMWfOHKxduxZubm6mfnmdHkHhWDrnEwwKHWnQl6++iU9/eAOb4v6FqppK\ns2UgImorTpw4gX/84x9Yu3btQ+23L/n+I9pERNbA5EX1M888g5kzZyIqKgrmXq1PqXDC46MX47mp\ny+Dm7GnQf/jsLqzc8DzOZ50yaw4iImtWWlqKxx9/HGvWrIGnp+G1tjGJqXuh0dSZKRkRUcth0qJ6\nzZo1uHLlCt555x0AD/bxoCl0D+iLpXP+gaG9xhv0FZXm4/Ptf8FXu/+OssoSi+QhIrImzz77LCZM\nmICxY8c2af9bhddNnIiIqOUx2c1fLl68iGHDhuHw4cPo2rUrACA6OhphYWH49NNPddv99luTGRmm\n/xLLLXU2jl7egdIqwxVCFDZKRASNRpBnT4sV/NQyhEdEIPnECaljUBsRHByse9xSb/7yxhtv4L33\n3mt0m7i4OFy7dg0ffPABkpOToVAoIIoi5HI5Nm/ejOnTp+tt/9vr+5vrntI9lglyPDrwz7CV25n2\nJIiILKyx67vJiup169ZhwYIFui+xAIBGo4EgCJDL5SgvL4etra3Zi2oAqNPUIuVaPC7kHoMIw9Pz\nde2MQZ3Hw8ne1SzHp5aHRTVZUmsoqgsKClBQUNDoNn5+fli4cCG++uoryGT//WBTo9FAJpMhMjIS\nCQkJuvaGimoA8HDugPFh8zigQUStmkWKarVajRs3buiei6KI+fPno2vXrnj99dcRGhqq266hMKZ2\nLe8yvv31n8i9k2XQZ2tjh/EDZyOm72TI5c1brrs1rrPYGGs8H65T3XJZ2/kAlr3OmVtubi6Ki4t1\nz0VRRFhYGP7+979jypQpCAwM1PU1VlQDQHhIFOaOe9GseR9Wa/zvj5nNr7XlBZjZUhq7vpvs5i8q\nlcrgxZVKJdzc3HQFtaX5e3fBK7M/wv5T27D72Peo09Tq+mrravDTka+QnB6PR0c+hyCfbpJkJCJq\nyXx9feHr62vQ7ufnp1dQ/15g+xBk3bqo15Z8MR512lpMj/oDVI7tTB2ViEhSZr1NuSAIkn/UJ5fb\nYEzEDLz6xCp09jUs7nMLsrFq01J8f+BzVFSVSZCQiMj6LJnxLiYOfsKgPSUjEcu/fAZrd36IU5cO\no6Ka110isg5mvU15XFycOV/+oXi7dcDiGe/gWNp+bD+8Xu9CLkLEkXO7cebyUUweMhcDQmMgE8z6\n7w0iolZLq9Xedxu53AZjB8yErY0dth3SX9tao63D6YwjOJ1xBDJBhiDf7ggN7I++wZHwULU3V2wi\nIrMya1Hd0sgEGQb3HI2enSKw7dA6nEg/qNdfVqnGt79+isTUvZgZ8wz8vDpLE5SIyEqM6DcFHipv\nbD/8FfKLcw36taIWmTfSkHkjDTsSNyDErxfau/vDzdkD7Zw94Xbvx8nBRfJPPomIGtOmiup6zkpX\nPDn2BQzoHoNNcf8yuNBn3bqIj757GUPCxmJi5BNwtHeWKCkRUevXq/Mg9AgMR2LqXsSn7MBtI8U1\nAIiiFunXUpB+LcWgz95OCQ/X9vBU+cDT1QceKh94uraHp6svnJWuLLiJSHJtsqiuF+LfG689sQr7\nT27FvhM/oFZTo+sTIeLwud04lXEEEwbNxpCeY5u9SggRUVsll9tgWO8JGNprPDJzzyPt6gmkXT35\nwDeGqaqpQM7tK8i5fcWgz87WHh4u3nBxdIOz0vXej8rgsZO9C6/jRGQ2bf7qYmtjh3EDH0VEt2j8\nmPAFzl05rtdfUVWKLQfX4NCZXZg2fD5CA/tLlJSIqPUTBAFdOvRAlw49MGXoPBSU5CHt6kkcOrsT\neYU5TXrNmtoq5BZkI7cg+77bOto7/6bYdkVFaRXsbZWotL0NRwcXONo7Q2nvBEd7ZzjaO8PO1p6j\n4ET0QNp8UV3PXeWNpye9jvNZJ7Hl4BrcUd/S688rysHn299G94B+mDpsPnzc/SRKSkRkPdxdvDG8\n9wQM7TUO1/Mu43bxTRSV5qOo9M69P/NRUHIbNbVVJjleeVUpyqtKDUbIU67FG91eLreBo8IZjg7O\nUNo7w9He6d6fzro/9QpxB2coFc6wtbE1SV4iaj1YVP9OaGB/LJ0ThrjTP2HfiS2o/t2F/EL2KaRf\nS8HA0BEYP3A23Jw9JEpKRGQ9ZIIMAe27IqB9V4M+URRRWlGM/OJc5Bffwh31TdwuzsWd4lvIL841\nuE6bkkZTh5KKIpRUFD3Ufna29gYFt1LhBIWdPRS2DlDYOUBhaw97OwfD53YOsLd1gK2tgitREbUi\nLKqNsLWxw5iIGRgYOgK/JH6DY+cP6N3uXBS1SEr7FSfTEzC8z0R42HSCwsZBwsRERNZLEAS4OLrB\nxdENnTv00OsTRRFllWoUluSjtKL47k+l+t7ju3+WVapRUlGMispSvWu5OdXUVqGmtgpFpflNfg0B\nAuwVSjg5qODk4HLvR4UydQUUtkqI6eVwsFPeLcLvFef1RbmdjYLTVogsjEV1I1SO7fD46MUY1nsi\ntiZ8gcs30vT6azU12H9yK+zk9ujZMRJhvXtCYWsvUVoiorZHEATd/Oj70Wg1KKtUo6zibpFdWlGM\nC5dSUV1XCRdXJ93UkIqqsrt/VpbqfYHd0kSIqKwuR2V1udHlCJOv7mtwX0GQQWFrf/fn3si3ws4B\nDgpHeKi84enqCw/V3dVTXJ3dOSJOZAIsqh+An1cnLJ7+Ds5mHsPPiV/jdtENvf4aTRVOZR/ApbUn\nMbL/NAztNY7FNRFRCyOXyaFybAeVYzt0uNcmK7+7ZGp4eLjRfWpqq+8V2qX3iu6yu48rS1BRXYby\nylLDYryqFFrx/jfIMSdR1KKqpgJVNRVAeePbKuwc0NGzE/w8O6G9uz+cHOqnrbjcm8LixFVTiB4A\n/y95QIIgoHeXQejZKQLHzu/HrqSNUJcX6m1TVqnG9sPrcODkVowMn4ahYeNhZ6uQKDERETWXna0C\ndraKh/r+jCiKqKqpuFts/6borqqpQHVNJaprK1FVU4nq2qq7z2sqUVVr+Ly2zjKj5NU1lbob8DTE\n3k5574uYLmjfriM6d+iBzr7d4ebsxS9lEt3DovohyWVyRPYcg/CQKMSn7MCvyT+gsqZCb5vSSjW2\nHVqH/Se3IbrvZAwNGwsHhaNEiYmIyJIEQYCDwvHeVIum33Zdo9WgoqoMZZUld6et3Ju6cikzHVW1\nFVA6K+4W5/WFem0lqmvuFuamnrZSP+pdUJKHa3kZOH4hTtentHeGytENLko33dx3L7cO6OwbCk9X\nH87tpjaDRXUT2dkqMDpiOiLDxuDbXz7HhdwTqNPqX8RKK4rx85GvsO/EFgwNG4eovrFQObaTKDER\nEbUmcpn83o1rVAD+u4yrQ60XgIanrAB3Vy2prq26NyJeqSu+SyvVuFN8E/nFN5FfnIvbRTcMBoYe\nVsW9KS83C64Z9DnaO2NYrwnwtOnC4pqsHovqZnK0d0bfgBh09x2IIm02Es78YrC8U1VNBX49+SPi\nUn7CwO4jENN3MrzbdZQoMRERWTu53AZKuROU9k6NbieKIgpLbuPa7Uzk3M6EurxQb8pKeVUpKqvK\nmrxqSnlVKXYf/x4A4O3ij0z1Cfi3D0aXDj3goWrPQpusCotqE7G3VWJS+JOI6TcFB05txyEjxbVG\nU4fE1L1ITN2LbgF9EdV7IroH9uO3romISBKCIMBd5Q13lTf6Bkca3Uar1aCyuhzlVaUoKr2DKzfT\nkXkjDbcKr6O0Qg3xAb+UmVdyDXmp13AkdQ8AwEXpBv/2wQjw7gJ/72D4e3WGo4OLyc6NyNJYVJuY\nk4MLJg95EqP6T8Ohs7sQn7IDZZVqg+3Ss08jPfs0PF19Mbz3BAzoPgIOCqUEiYmIiBomk8nv3sLd\nwQVebh0Q4t9b16fValBWWQJ1eSFKyougLi9CUWk+9hzfdN/XLakoQuqV40i9clzX5u7ijYD2wegb\nPARhnQZAJpOb5ZyIzMGkQ6QrV65EREQEVCoVvLy8MHnyZKSlNfxtYmumtHfC2AEzsXz+vzEj+hm0\nc/Eyul1+cS5+iP8P3vxiAb779TNk38qAKFrm5gRERA+iqKgIixcvRvfu3aFUKuHv74+FCxeisLDw\n/juTVZPJ5HBxdIOfV2f0CApHZM/RmDj4cXzy/FZMHPw4fN0DYCN/8NVBCkrycOrSYXzxy1/x0j9n\nokCdZ8b0RKZl0pHq+Ph4LFq0CBEREdBqtXjrrbcwatQonD9/Hm5ubqY8VKthZ6vA8N4TMCRsLFIy\nEhGfsgNZty4abFdTW4WjaftwNG0fOngG3VthZDhXDSEiyeXm5iI3NxcffvghQkNDkZOTg4ULF+Kx\nxxVwijEAACAASURBVB7Dnj17pI5HLZAgCBg7YBbGDpgFrVaDg0f2Q115B/YuMmTmnsfVm+n3XTJQ\nK2qxYt0fAQAxfSdjTMQMTg+hFs2kRfXu3bv1nn/99ddQqVRITEzExIkTTXmoVkcuk6N/yDD0DxmG\n7FuXEJ/yC05nHIFGW2ew7Y38q9gc9y9sS1iLsM4DMaB7NEL8+0DOj8GISAI9evTADz/8oHveqVMn\nfPjhh4iNjUVZWRmcnBr/Mhy1bTKZHC4O7eDi0E63YolGU4fcgmu4fvsyruVlIDvvMm7eyW7wpjlx\np39C3Omf4OnqC4Wdve4Okbo/7RwgiiI8XX3Ru8ugB7rDJpGpmXVOdUlJCbRabZsdpW5IQPuumDuu\nK6YMewpHzu3B0dR9BjeSAe7eBv3UpUM4dekQnJWuCA8Zjoju0ejgEcRvTBORpNRqNRQKBZRKfheE\nHp5cbgM/r07w8+qEyJ5jAAA1ddX4v21/afQmNMZu1/57OxI34I2nVsOJo9pkYYJoxgm8s2bNQmZm\nJpKTk3VFoFr93y/tZWRkmOvQrYpW1OJG4WVcyjuF3KLM+y5d5GLfDoEeoQj07AFXpaeFUrZu4RER\nSD5xQuoY1EYEBwfrHqtUKgmTmEdxcTEiIiIwceJErFq1StfO6zs1l0Zbh1NZB3Dh5vH7b9wIT+eO\n6OsfDVdHL9jb8h9+ZDqNXd/NNlL90ksvITExEYcPH+ao6n3IBBn83LvCz70ryqrVuJyXgszbZ1Fe\nbbhqCACUVBXibM5hnM05DFelJwI9QuHv3g0qBw/+XRPRA3vjjTfw3nvvNbrNwYMHMXz4cN3zsrIy\nTJo0CX5+fvjggw/MHZHaGLnMBhGdxsBV6Ym0G0dRUtW0L8Pml+Zgb9oGAICjQoVefv+/vTsPa/s6\nEz3+lUALEiB2DGa3wRgbr+CFLE68pThu7NZJJ8mkS9omkybpZJl7e9uZNE3ndpI+ze00k94sM5k2\nzXKzOEnjLI2d2DHBdryCjY3BYMy+7wiBhCSQ7h9gYsJiFoFY3s/z6JF0dH5H78/IP16OznId8aEr\nXBmqEINMSk/1I488wu7du8nIyCAhIWHAa1f2ZMyWHpysrCxg5N2txsrhdFBcnc+pCxmcuXQUq81y\n1WOC/cJZtmANyxasI3pewrjXv56M83GnrKwsUlJTYZasqjIbfz4we84HZs51rrm5mebm5hHrREZG\n4uXlBfQm1Nu2bUOhULB3795BQz9mynlfaSZ+/uZazA5HD1a7Fau9d1fIK3eJfO+Ll2jtaBpVO7+4\n61nCAqMmPV53kZinxkjXOZf3VD/00EO88847QybUYvSUCiXxEUuJj1jKrTfcS27JCbIKDlFQkTPk\n5EboHWv2efYePs/eg6/en6WxKSyJTSUhchkalXaKz0AIMd0FBgYSGBg4qromk4n09PRhE2ohJotS\n6YGXRjfkXg7xEcl89OWrnL10DNMQe0Jc6anX/5HQgAiWxa1lZcI1RATHTVbIYo5yaVL9wAMP8Prr\nr7Nnzx4MBgN1dXUA+Pj4oNfL0nDjpVZpWL3oelYvuh5zVwdni49z5uIRLlaeG3amdHtnK0fP7+fo\n+f14eqhIiEhmSWwKS2JThl0zWwghhmIymdi6dSsmk4k9e/ZgMpkwmUxAb2KuUo1+HWIhXMlLo+M7\nG+/jOxvvo72zjbcPPk9uyfDjsetbqtjfUsX+rPdYMH8J0aEL8dX746Pzx6D3x1fvj0EfMIVnIGYT\nlybVL7zwAgqFgk2bNg0of+KJJ3j88cdd+VZzlk7rzfolm1m/ZDMdlnbOFR/n3KXjFFaeG7YHu7vH\nTn75afLLT/POF/9FqH8Ei2NWkRS9igXzl6DylF+IQojhZWdnc+LECRQKxYBvIBUKBRkZGQPGXAvh\nLr56P360/ed8cPgvZJz58Kr1i6vzhl1pJNgnghsSb3V1iGKWc2lS7XAM3WsqJoe3ly9pS7eStnQr\nFquZ/LJszhUfJ78sG6u9a9jj6lurqG+t4oszH6L21BAfkUxi9AoWR68k2C98Cs9ACDET3HDDDXJ9\nFzOCUqHkW9f/kGuSv8GF8tM0ttXQ0FZLY2sNLaZGnMN8u/t1jaYq3jn1DPNj5hE9L172iRCjMqnr\nVIup46XR9W8uY++2c6n6PHmlpzhfmkVLe8Owx9m6reSVZZFX1jtZIMAnmEBdBOF+cSRZE9FpZFMH\nIYQQM0uIfzgh/gM7iczWDvJKszl09m+U110cVTvPvPNzwgKj+PH2XxDsFzYZoYpZRJLqWUjlqWJx\n9EoWR69k14Z7qGup5HzJKfLLsimtLRh2HDZAi6mRFlMjRfVnOHTxfaLnxZMY1duLHRUqf60LIYSY\nmXQab1ITN5Cy6HrK64uob6nE2NlKe98tt/QkPT2Dh1HWNlfwv1/5CcsWrMXHyw9vnQEfnQEfnR/e\nXgbCA6Nk+3QBSFI96ykUCsICowgLjGJL6i4s1k4KK86SX36aC+VnMHYMv5yW0+mgrLaQstpC9p14\nGy+1joSo5SyOXkli1EoCfGXjGSGEEDOLQqEgZl4CMfMGrlBWUnOBZ975xbDHnSs+MexrG1Zs55Zr\nvi9zlOY4SarnGC+NnhXxaayIT8PpdFLbXE5BRQ4Xys9QXJ1Pd4992GMtNjNnLx3j7KVjAIT6R5AY\nvYKkmNUsnL8Elad6qk5DCCGEcKmwwCh89f60d7aO+djMnI85kX+Q+3Y8jr9PIL76APlmdw6SpHoO\nUygUhAfFEB4Uw8ZVO7HZrVyqziPz5D5qjaW0mRtHPP7yhMfMnI9ReaqJj0gmKWYVi6NXydgzIYQQ\nM4qXRs8//d3THM87wN4Tb435+C6bmWfe+TkACoUSX70//t5B+PkEMj8oloXzlxAVGi+92bOYJNWi\nn1qlISlmFeam3jHXCxNjKazIoaA8h4LKs3Ra2oc91t5tI78sm/yybABC/Of3bz4TF5aIh4d81IQQ\nQkxv/j5BpK+7nWDPhQAsX7Gc5vY6TGYjJnMbHRYj+07spuMqG804nQ6MHc29QyzrIKfoaP9rt296\ngLSlWyb1PIR7SKYjhuXnHcjapE2sTdqEw+mgqqGEC+VnKCg/Q2ldIQ5Hz7DHNrRWc7C1moOnP8BL\no2dx9CqS41JJilmNl0Y2AhJCCDH9qTxVzAuIZF5AZH/ZmsUb+csnT5Nffnpcbb71+XO89flz/c/j\nI5JJX3c7C+cvmXC8wr0kqRajolQoiQpdSFToQm5acxsWq5miqnPkl53mQtlpWjuahj3WYu3k9MXD\nnL54GA+lJ/GRySxfsI6lcamyc5UQQogZRav24r6dj9NqaqKxrZbGtpr++1ZTE20dzVftyb5SUVUu\nRe/msjQ2ldCA+WjVOnz1ASTHrcFbVhWZUSSpFuPipdGxbME6li1Yh9PppK6lsm/4x2mKa/KH7cXu\ncXRT0Nfbvfvgi8SELWLFwjRWxK/H30dWExFCCDEz+PsE4e8TREJk8qDXKhuKefrNfxpTe+dLT3G+\n9FT/888Mofzsjj/gpdFNOFYxNSSpFhN25bJ9m1Z/C4u1k4KKHPJKs8gryx52LLYTJ6W1BZTWFvD+\n4T8TE7aIlfHXsGJhGv4+QVN8FkIIIYRrRIYs4Ke7fsMnx96guCZ/XG00G+v5Xy/eSXLcGvx9ggj0\nnce8wEjmBUTg5x2EQqFwcdRioiSpFi7npdGzMv4aVsZfg8PRQ1ldEedLTnKu+DgNbTXDHnd5Tez3\nD/2ZBfOXkLLoelbEp6HX+kxh9EIIIcTExUcs5aHbnuRUwRd89OVrtI2wL8RIcktODirTqL2IDI4j\nPnIZ8RFLCfWPwOl0SqLtZpJUi0mlVHoQF55IXHgi37zmu9S1VJFbfJxzxSeoaLg07HHF1XkUV+fx\n7hcvkRSzipTEDSyNTZW1sIUQQswoqYk3kJp4AwD2bjtWu4Uum5kumxmL1dz32ML/2//siAsAXMlq\ns3CpOo9L1Xns7SvzVKrx0fqRU3eAEL9wYsISiJmXiK/eb3JOTAwiSbWYMr3DRCIJC4xk65rbaGlv\nJOfSUXKKjlJWVzjkMT2ObnJLTpJbchIvjZ5VCdexLmkjUaHx8he5EEKIGUXlqULlqRpyAuKSmNW8\nf+jPFFaeHVevdrfDRqu5gdbihgHlSoWSH23/Oclxa8YdtxgdSaqF2wT4BrNx1Q42rtpBS3sDOZeO\ncubil5TXFw1Z32Lt5MvcfXyZu495AZGsTdpEauIGfPX+Uxy5EEII4Vo6rTd/v/UfAehx9NDe2UKr\nqanv1khDazV1LVXUtlRgtVlG3a7D6eClj55kaWwqm1bvRKvW9d280Kp1so+EC7n8X/L555/n6aef\npq6ujiVLlvDMM89w7bXXuvptxCwT4BvCxlU72bhqJw2tNWQXHiKr8BCNw4zBrmup5IMjf+Gjo6+R\nHLeGa5beRELUMpQK5RRHLsTcIdd3IaaGh9IDf5/gIVfFcjqdtLQ3cLEql6LKXGqayqhpLr9qm19f\nXeQyvdYHX70/Pjo/fHX+qFUalAolS+PWkBi1HKVstz5qLk2q3377bR5++GFeeOEFrr32Wp577jnS\n09PJz88nMjLy6g0IAYT4h5O+7na+sfbvqKi/RFZhJtmFh4dc99Ph6OHspWOcvXSMQEMoaUu2sjZp\nk4whE8LF5PouxPSgUCgINISy3hDK+iWbgd4dG//8ye/G1V5nl4nOLhO1zRUDyo/k7iMlcQPfu+mR\nCcc8V7g0qf73f/937r77bn70ox8B8Oyzz7Jv3z5eeOEFnnzySVe+lZgDFAoF0fPiiZ4Xz45rv09+\nWTbH8w+SX5qFw+kYVL/ZWM9HR1/jk+NvsmLheq5bfjOxYYvcELkQs49c34WYvhZFLcdb60dHV5tL\n280qyKS2uQK91gdbt5VOczt6nS+bVn2LpbEpMnTka1z2r2Gz2Th9+jQ/+9nPBpRv3bqVo0ePDnOU\nEKPj6aHq32ymvbONrMIvOHb+APWtVYPq9ji6yb54mOyLh4kIjiPSkESKG2IWYrYYz/X96/OInc6h\n2x5uvrHUH6l+CqdOZU2jeEZTf+BV2P3xzLb6enasvI+K5gJsniZ0Gj1qlZbtaXcOWf9Xf7qHLpsF\ni7UTJ1+92R8f3jNk/Z8+s7P/caOxlj/97bf46v35t3tenmD8KWOsP9b2XV+/bYS/W1yWVDc1NdHT\n00NoaOiA8pCQEOrq6lz1NkLgq/dj46qd3LhyByU1+XyZ+xk5l47S3WMfVLeqsYSqxhLuAD488irX\nLd8mG8sIMUZyfRdi+vNQehIbvJSUlKt3Iz3xw5eA3gmRHRYj7Z2tY94Bsr2zdVxxzmYKp3O4fHxs\nampqiIiI4NChQwMmrvzrv/4rb7zxBgUFBQAYjV+Niy0qGnqVByHGqstupqQhl4t12bR3tQx6/dmH\nP+Afn9mBQqEkOnAxSeFrCfIJd0OkYi6Ij4/vf2wwGNwYiWvI9V2I2a/d0sKJkn3UG8txOEe3XvaV\nUmK2oFXp0Kp0aFQ61J5aNJ5eqDw0s2oJ3JGu7y7rqQ4KCsLDw4P6+voB5fX19YSFhbnqbYQYklal\nI2n+WhaHr6HWWEpBbRZVLRf7X+/UqXj24Q/6nr3vniDFnGEc6fvBGWg81/fUVBl0JcTMs9XdAUx7\nbW2DF024zGVJtVqtZvXq1Xz22Wfs2rWrv3z//v3cdtttQx4zmq8oZoKsrN6xbXI+00Uqt/Admo31\nHMndx+Gz+/jFk9uGrR1sCOPGVTtYk3Qjak/NFMY5PjP/5zPQbDsfAIzDX3RnovFc313zHejkm4mf\nP4l58s20eGHyYm41NVJRX0yPo5u/7P0/Lm17w6JdRAQksHbNWpe2O5lGury7dNrmo48+yne/+13W\nrFlDWloaL774InV1ddx3332ufBshRiXQEMqOa79PqCqBksZzlLbkDjmxsdFYy+6MF/nk+Jtct3wb\n1y1LH3K3KyHmMrm+CzE3XbletsPRw7uZ/425y+SStjML3wPg49xAAnyCCfAJxt83pPexb+/7BhpC\nZ0SHF7g4qf7Od75Dc3Mzv/nNb6itrSU5OZlPPvlE1jAVbuXpoSJh3mpuv/keCsrPkHHmQworzg6q\n12Exsvf4m3ye9VfWL93CjSt3EOA7eOF9IeYiub4LIVISN7B84XpaTU10WIyYzMa++7Yrnrdj7jJh\n7uqg09qBzd511XaNHc0YO5oprS0Y8vU1i29kS+qtaFVeqFVaNGrttNzszeULDP7kJz/hJz/5iaub\nFWLClAolSTGrSYpZTU1TOQdP7yG78DA9ju4B9WzdVjJzPubwub2kLLqeTau/TVigJA5CyPVdCKHy\nVBPiH06I/+gm+9u77VisHXR2dVBYkcNfD/1pzO958kIGJy9kDChTe2rQqL3QqLRoVFr8vIO49cZ7\nCPQNHaaVySerdos5KTwomru2PsT2tLvIzPmIL3M/o8tmHlDH4ejp/4+cHLeGram3Ej0vwU0RCyGE\nEDOPylOFytMfX70/YYGRhAfFcDzvAE3GOuqbq7HYO8bVrq3biq3byuWBKNVNZeS9nIW/dxC+3gH4\n6QMweAcQ4BtKQmQy84NiJ30VEkmqxZzm5x3Ijmt/wNbU2zh6fj9fnPkQY+fgJflyS06SW3KShMhl\nbE29lfiI5Fm1RJAQQggxFRIik0mITAZ6J1f2OLqJjY+irqWS//74qQm339rRRGtHE+VfK/fV+ZO2\ndCsbVtyMfpLmTUlSLQTgpdGzafVOrl9+M1kFX3Ag+30a22oG1btYeY6LleeImbeILam7WBqbKsm1\nEEIIMU4eSs/+4SS/uvs/OZF/kH0n3kaj9iLYEIZGpaXLbsFm66LLbsFq7xrVOO2vaze3su/k2+w7\n+Ta+en9C/SOYFxDJ0rhUFkUtd8kYbUmqhbiCylPF+qVbWJu0kXPFJ9if9R6VDcWD6pXVFfLSR08S\nHhTDlpRdrIxPQ6n0cEPEQgghxOwQ6BvKtnV3sG3dHSPWczgd2OxWrHYLOUVH2XvibZyOHixfG8Y5\nnPbOVto7WymqyuXwuU8I8QvnR9t/MeH5U5JUCzEEpdKDFfFpLF+4nsKKs3yW9S6Xqs4PqlfTVMYr\n+37PJ8ffZHPKt0lN3ICnh8oNEQshhBBzg1KhRKv2Qqv2YsOK7WxYsR0Aq72LNlMTb2e8OOTv7OE0\ntNXw9sHnefi2iQ0/kaRaiBEoFAoSo1eQGL2CkpoC9p96l7yyrEH1GttqePPA/2Xf8bfYlPIt1i3Z\nPGPW1RRCCCFmA41Ky7G8A2NKqC+zjmNIyddNv0X+hJim4sIT+Ycdj/GzO/+dlfHXoGDwWOrWjibe\n/eIlfv3ne9mf9Vcs1tF9FSWEEEKIibF32zl76di4jv3WdXdP+P2lp1qIMYoIjuPubf+T+tZqDpx6\nj1OFmTgcPQPqmCxGPvryVQ5kvceG5dsndbaxEEIIMVfYu+2Yu0x0drXT2dWBuctEh6Wd0toCzhR9\nib3bNuY2tWodUaHxE45NkmohxinUfz5/v/UfSV93Owey3+d43gG6e+wD6lisnew7+TYHT+8hbelW\nbly1A3+fIDdFLIQQQkwP5q4Omkw12Hus5BTZsFg7sdjMWKyddPXdm62ddFk7ex93ddDZZcLWbXV5\nLF02Mx0WI1q114TakaRaiAkK8A3hOzf+AzetuY0vznzIkXP7Bo3NsnVb+SLnIw6f20tq4gY2pXyb\nUP/5bopYCCGEmBxOpxNbtxVzV0dvomztxGy98nEnZbWFFFbk4HA6eg/Kc2/MqxKudclOjJJUC+Ei\nBn0AO679AZtTdnEo529k5nyM2Tpwp6geRzfH8z/nRP5Bli1Yy6aUbxMjuzQKIYSYRnq3Fu/EYvuq\nl3joBPnyYzOWrg7MffW/PiRyKmnVOvx9gtCovdCqvNCqdb2P+286NCqv/rJA3xDCg2Jc8t6SVAvh\nYnqtD+nrbufGVTv4MvdTMs58QHtn64A6TpycLT7O2eLjLJi/hE2rdpIUu9oli88LIYSYWxxOB/Ye\nG909NhrbavvWcO7dJMVq78Jqt/SXXfn48jCLryfL4xmXPFWUSg/0Gm90Wh/0Wh90Xj7oNd7ovXxZ\nMD+JJTGr3bZvhCTVQkwSrdqrb5fGbZy8kMHn2e/TZKwbVK+4Oo/i6jzmBUSycdVOVi+6HpWnrHUt\nhBAzmcPpoLvbjr3biq3bir3b1n9v77Zhs1ux9/TdXy4bVO+rY+12K7YeW//jr7fnxNn7xqfce95j\n4aMNQK/xISRoHl5qPVqNDi+NHi+1vve+77lWretNoLU+aNVe03YnY0mqhZhkKk811yTfxPolm8m5\ndIz9We9R3Vg6qF5dSyVvHPgjHx19jWuXpXNt8jfw0RncELEQQojLHE4H3T12jB0tNLRWU9dSRX1L\nJe3mtgEJr73b1pv0Xk6Se6Zvb+9kU3mo+5Li3pvuysfa3l7lRZHLqClrAiAlJcXNEbuGJNVCTBGl\n0oNVCdeyMv4aCipyOJi9h8LKs4Pqmcxt7D3+JvtPvUtq4g3csPKbhAVGuSFiIYSY/uzddsxWE+au\nTizW3hUiLq8gYe/rKe7usfclur333X2Pu/sS4e5ue+/wib765i4zPY5u3jjuGLSq01ygVCivSIi9\nr0iI9QN6knVa7yHrqTzVo3qfy0n1bOGypLq1tZXHH3+cAwcOUF5eTlBQENu3b+c3v/kNAQEBrnob\nIWY8hULB4uiVLI5eSWVDMZ9n7+FM0Zc4L8+C7tPdY+dY3n6O5e0nIXIZ1y/fxpLYVDdFLea6p556\nir/+9a9cvHgRjUbDunXreOqpp1iyZIm7QxMzWI+jh67LS6fZzFisZrpsV9ysZiw2M102C13WTrps\nlgGT58zWjmk9/ncqeSg98VSq0eu80ai0qFVaNH039dfur3x8OTH+qje59/jpOsRiOnNZUl1TU0NN\nTQ1PP/00SUlJVFVVcf/993PHHXfw6aefuupthJhVIkMW8IP0f+Kb19zFF2c+4njegSG3Sr1YeY6L\nlefw9wkmJmAp8aEr3BCtmMsyMzN58MEHSU1NxeFw8Pjjj7N582by8/Px9/d3d3jCjXpXiujon+jW\nm+z29hpffl5RXY6tu4ujZe/3L6tmtnZgtVncHf6kUnmoUXmqUak0qD1671WevWVqT82A+wFlKk3f\nsZrex8PUU3lqUPeVnT59Bpg9QylmIpcl1UuWLOG9997rfx4XF8fTTz/N9u3b6ejowNvb21VvJcSs\nE+gbyq4NP2bbujs4lneAQzkf02JqHFSv1dRIqymDsxWHKGk/zTVLtxIXniQ9CmLS7du3b8Dz1157\nDYPBwNGjR7n55pvdFJVwBYfTgbmrA5PZiLmrfWCv8aANOcxYbJ29Pch9ifFc6Cn29FDhpdYR4j+f\n0IAIQv0jCPKbh0alHSbh1eDpqZIVneaYSR1TbTQa0Wg06HS6yXwbIWYNL42ejat2sGHFds4VnyDz\nzEeU1F4YVM/h7CGrIJOsgkxC/SNYv3QLaxbfiLdshS6mSHt7Ow6HQ3qppxmHo+ernuC+4RGX7y19\nPcgdFiMmsxGTua33ZjG6dV3hiVIqlOi0Pr3DF7Te6DTevUMa1DrUKg2eHmpUnqq+ezUqDxWeffeX\nE+H+1zxVqDzU5OXl46lUkZqyBg8PT0mOxahMWlLd1tbGL3/5S+69916USvkwCjEWHkoPVsansTI+\njcqGEg6f+4TsgkNDziavb61iz+GX+ejoayTHrWHt4o0kRq/Ew03rdIq54aGHHmLlypWsX7/e3aHM\nCU6nkw5LO20dzVS2XMRsNVF3tJC2jiaMHS20dTTT3tmCxWZ2d6hjokBxxTJqOrQaff8GHV5qHVq1\nDq2m996r716r9uobA+yDTjs543916kqAUU+4EwJA4XQ6nSNVeOyxx3jyySdHbOSLL77g+uuv73/e\n0dFBeno6KpWKffv2oVZ/9aE0Go39j4uKisYbtxBzjtVu4VLDWQprs+iwto1YV6vSExu8lAUhywjQ\nT3zrVTE28fHx/Y8Nhtm3LOKjjz7K7t27OXLkCDExMf3lcn0fPYejB2t3F7ZuC9ZuC7buLqyXH9st\nWLu7sHabMdtMvStb2Ew4nNOzN1mBArWnF2pPbf9Nc8VjtcflsoF11J5aVB4a6QUWM8pI1/erJtXN\nzc00NzeP+AaRkZF4eXkBvQn1tm3bUCgU7N27d9DQD7noCjExTqeT2rYSiupzqGgpHLRqyNf56UKI\nDUoiJigJHy9ZiWcqzOak+pFHHmH37t1kZGSQkJAw4DW5vn+lx9FDnbGMdkszZlsHFpsJi70Di60D\ns60DW/f0mqCn8lCjVenRqHR9SbAGtYe2dyKchwaVpxa1h6Y/EVZ79r6m8dDi6aGWeR1izphQUj0W\nJpOJ9PR0FAoF+/btQ6/XD6pz5UV3tvyyycrKAmbPjFs5n+ntyvNp72zj5IWDHDu/n0Zj7VWPjQxZ\n0L9WdoBvyGSHOiqz7ecDs/M6B71DPt555x0yMjJYtGjRoNdn4nmP9/PndDoxmY20m1to72zDZG6l\nvbONdnMrxo4WLlXn0WExXr2hSeCl1g0YW9x737tUmk7jjd7LBx+dX9/NgI/OD7WnZlJjmmn/z2da\nvCAxT5WRrnMuG1NtMpnYunUrJpOJPXv2YDKZMJlMAAQGBqJSybbLQriar96PzSnfZtPqb1FSc4GT\nFzI4U/QlXcOMq6xsKKayoZgPjrxCREgcyXFrWRa3lvCgaOlpEiN64IEHeP3119mzZw8Gg4G6ujoA\nfHx8huxAmS26e+y0d7Zh7GzG2NFCi6mRstpCSmou0G5undJYtGodft6BKBwqdGofFsYsws87sP/m\nqw9Ar/VGKfMphHALlyXV2dnZnDhxAoVCMeArQYVCQUZGxoAx10II11IoFCyYn8SC+UnsuuHH5Baf\n5NSFDC5U5Aw7PKSqoYSqhhL2Hn+TAN8QkuPWsCQmhQXzk2RyjhjkhRdeQKFQsGnTpgHlTzzxuO5w\n4gAAEXFJREFUBI8//ribonIth6OHyoZici4d5WJlLm2mJkyT1NusQIGX1hv95d5kbe+kO73Wu38C\nnk7rjUEfgJ93IAbvQLTq3mGWM7F3T4i5wGVJ9Q033IDDMfLYTiHE5FN7ali96DpWL7oOk7mNnEvH\nOHPxCMXV+TgZerRXS3sDmTkfk5nzMSpPNfERySyOXklSzGqCDPOkF1vM2ut7k6mGksZcDpe8S3Vj\nKbZuq8va1qp1LFuwlkDDPAx6f3x1/vjq/THoA/DWGWSFHiFmmUldp1oI4V4+Oj+uW5bOdcvSMXa0\nkHPpKGcufklpbcGwCba920Z+WTb5Zdm8l/nf+PsEEx+xlPiIZOIjkgnwDZ7isxBi4np6umloq6Gx\nrYbm9gZa2hvIKTqKsbNl3G2qPNUEGebho/PrS5j98Om7N+gDiZmXgFo1uWOVhRDThyTVQswRBu8A\nNqzYzoYV22nvbCOv9BTnSk5QWHGW7h77sMe1mho5eSGDkxcyAAg0hLIwfAmx4YuJC08k1D9CerLF\ntGMyt5Ffdpqiqlyqm8qoa6mkp6d7zO0oUOCtM2DwDugdiqEPJMR/PnHhi4kIjsXDQ36NCiF6ydVA\niDnIV+/H+qVbWL90C1abhYKKHPLLTnOh/DRtHSMvodlsrKfZWM+JCwcB0Gl9iA1bRGxYItGh8USG\nLkCn8Z6K0xBiAKvNQkltARlnPqSwPGfYb2NG4u1lYMH8JFYsTCMuPBFfnb8kzkKIUZErhRBznEbt\nxfKF61m+cD1Op5O6lkoulJ8mv+w0JTUXRuzFBjB3mcgrzSKvNKu/LNgvnOjQeKJCFxIREsf8oFi8\nNLoRWhFibNo7W6lqLKGqsZTqvltjW+24EmkFCqLDErg7/X/g5x0k37wIIcZFkmohRD+FQkFYYBRh\ngVFsXLUTe7eN0tpCiqpyKarKpbyuiB7H1b9Cb+wbu5pVmNlfFmSYR0RIHBHBccwPimF+cCwGvWxG\nI8amy2bhTx//lsLKs2M+1lfvT1hAFIGGUAJ9QwnwDaGhphkfbQDXrpcVqoQQEyNJtRBiWCpPNQmR\nySREJgNgtXdRVltIaW0BJbUFlNUWDrsm9tc1GetoMtaRU3S0v0yn9cFXE4C/LhS7VxvhgdGEBUbJ\n5C4xrC9z9406oZ4fHEty7BoWzE8iPCgGH93gDWmyTFlDHCmEEGMnSbU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B8FMHW93nD0JCbq05z9uUExG1Dyyqm6lOW4sjF7fhQl5Kg/2CIMOAwFj06hgF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\nzBQKBSEB4YQEhLNy0QYA+uw26luqqWkqo7a5nNqzldS3Vl/SFGad3e1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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -521,13 +527,11 @@ } ], "source": [ - "from nonlinear_plots import plot_transfer_func\n", - "\n", "def g2(x):\n", " return (np.cos(3*(x/2 + 0.7))) * np.sin(0.3*x) - 1.6*x\n", "\n", "with book_format.figsize(y=5):\n", - " plot_transfer_func(data, g2, gaussian)" + " plot_nonlinear_func(data, g2, gaussian)" ] }, { @@ -548,16 +552,16 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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sKW9w3UFRt6C8qgSCICKx3x2I6NzHgZW2LpFd+mPD3u/NzzMuHIYkSS49TzcREZGzYqgm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/Rt/IYbh/2Cz+skNERA6PRXUT6A06LPv9nxYFdUhAFwzrOV6mrIhaBieVM7p0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\nmguXssgvzek2yXY47JwpOMqZgqN4a/VMSpzNrPELiQqJH8i3IW7AgQM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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -568,7 +572,7 @@ "y = g2(data)\n", "gaussian2 = (np.mean(y), np.var(y))\n", "with book_format.figsize(y=5):\n", - " plot_transfer_func(y, g2, gaussian2)" + " plot_nonlinear_func(y, g2, gaussian2)" ] }, { @@ -580,7 +584,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -589,8 +593,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "input mean, variance: 0.0003, 0.9966\n", - "output mean, variance: -0.1254, 2.3964\n" + "input mean, variance: 0.0036, 0.9998\n", + "output mean, variance: -0.1305, 2.4019\n" ] } ], @@ -610,16 +614,16 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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Xa7QN6jMSPu69JErU+TnZu+Hl6UsR4jdQa9uxc/skSERERET3g0U13TNRFHH20nEs27AY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g6p/gaOesc3tBWQ6+2vU+FDU3DZyMiIiIOopFNXXY5evnkXD6J422aaMfweiQiRIlMh19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\nQqHggw8+GNT1QypdIfzD0mWmvPkMFc3n6HIOHtx4PVWQlumRs0mOnke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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -629,7 +633,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "output mean, variance: -0.0005, 2.2424\n" + "output mean, variance: -0.0055, 2.2496\n" ] } ], @@ -638,7 +642,7 @@ " return -1.5 * x\n", "\n", "with book_format.figsize(y=5):\n", - " plot_transfer_func(data, g3, gaussian)\n", + " plot_nonlinear_func(data, g3, gaussian)\n", "out = g3(data)\n", "print ('output mean, variance: %.4f, %.4f'% (np.average(out), np.std(out)**2))" ] @@ -652,7 +656,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -661,8 +665,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "linear output mean, variance: -0.0268, 7456.6635\n", - "nonlinear output mean, variance: -9.2020, 30349.1465\n" + "linear output mean, variance: -0.3155, 7480.4651\n", + "nonlinear output mean, variance: -9.7978, 30473.9682\n" ] } ], @@ -690,16 +694,16 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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TPoequkz7WoCAqfe+iIfvegaCIDSzJN1MVFgcXpu6DEN6jdSpXyo+j5PnD8uUioiIiG4F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\nUCiESCTiOpQBpaGhAenp6QgPD9coDw8Px+XLlzmKinSkqqoKSqUSlpa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Qx4TG4eler8iQrP4b/fhkPBLSzaB90e+zUFiSJ0MiIiIiehicqaYHdih1J05dPmLQ3sI3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\naypwNet33M5PgbWDGQbZSHhKSvq70tJSKBQKOkpNCCENGI7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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -712,9 +716,8 @@ "x0 = (1, 1)\n", "data = normal(loc=x0[0], scale=x0[1], size=500000)\n", "\n", - "\n", "with book_format.figsize(y=5):\n", - " plot_transfer_func(data, g3, gaussian=x0)" + " plot_nonlinear_func(data, g3, gaussian=x0)" ] }, { @@ -932,7 +935,11 @@ "\n", "On the other hand the UKF works spectacularly! I use it at work for real world applications. I mostly haven't even tried to implement an EKF for these applications because I can verify that the UKF is working fine. Is it possible that I might eke out another 0.2% of performance from the EKF in certain situations? Sure! Do I care? No! I completely understand the UKF implementation, it is easy to test and verify, I can pass the code to others and be confident that they can understand and modify it, and I am not a masochist that wants to battle difficult equations when I already have a working solution. If the UKF or particle filters start to perform poorly for some problem then I will turn other techniques, but not before then. And realistically, the UKF usually provides substantially better performance than the EKF over a wide range of problems and conditions. If \"really good\" is good enough I'm going to spend my time working on other problems. \n", "\n", - "I'm belaboring this point because in most textbooks the EKF is given center stage, and the UKF is either not mentioned at all or just given a 2 page gloss that leaves you completely unprepared to use the filter. This is not due to ignorance on the writer's part. The UKF is still relatively new, and it takes time to write new editions of books. At the time many books were written the UKF was either not discovered yet, or it was just an unproven but promising curiosity. But I am writing this now, the UKF has had enormous success, and it needs to be in your toolkit. That is what I will spend most of my effort trying to teach you. " + "I'm belaboring this point because in most textbooks the EKF is given center stage, and the UKF is either not mentioned at all or just given a 2 page gloss that leaves you completely unprepared to use the filter. This is not due to ignorance on the writer's part. The UKF is still relatively new, and it takes time to write new editions of books. At the time many books were written the UKF was either not discovered yet, or it was just an unproven but promising curiosity. But I am writing this now, the UKF has had enormous success, and it needs to be in your toolkit. That is what I will spend most of my effort trying to teach you. \n", + "\n", + "## References\n", + "\n", + "[1] https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb" ] } ],