From aae7bbb368614daa5d4a81253e3d1cfe23b82397 Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Sun, 24 Jan 2016 18:52:31 -0800 Subject: [PATCH] Copy edits. --- 04-One-Dimensional-Kalman-Filters.ipynb | 84 +-- 08-Designing-Kalman-Filters.ipynb | 674 ++++++++++-------------- code/kf_internal.py | 1 + 3 files changed, 318 insertions(+), 441 deletions(-) diff --git a/04-One-Dimensional-Kalman-Filters.ipynb b/04-One-Dimensional-Kalman-Filters.ipynb index 63e3811..d186fc1 100644 --- a/04-One-Dimensional-Kalman-Filters.ipynb +++ b/04-One-Dimensional-Kalman-Filters.ipynb @@ -348,7 +348,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -383,14 +383,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Mean of readings is 9.972\n" + "Mean of readings is 9.996\n" ] }, { "data": { - "image/png": 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+UCmP9cOHDykxMbHMmyJL2LFjBy1fvlxhFgahUEjLly9XmB2jYcOGJBaLqbi4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Us3klVbYjHh8fD319fSxatEihCy4vLw8JCQlQV1cvc2rJhw8fEBUVhVatWpXp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GP/f9wMXCOmaMRP0gxgeOboAJaFLTwYqI1Dwl4iJSIbvMEFKGuJFxtTcRN2O0DCdidNu4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\nAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -551,7 +551,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "collapsed": true }, @@ -570,7 +570,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -578,19 +578,17 @@ { "data": { "text/plain": [ - "(25, 0.530)" + "(25, 49.040)" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "from filterpy.kalman import predict\n", - "\n", "%precision 3\n", - "predict(x=10, P=.2**2, u=15, Q=.7**2)" + "predict((10, .2**2), (15, 7**2))" ] }, { @@ -713,7 +711,7 @@ "data": { "image/png": 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ETp48mYCAAHx8fAgJCWH9+vXXbLtnzx5atmyJv78/Pj4+BAYG8uKLL2Y5M5aI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\nfTz6ExNSycP7FL8YAveFt/+Yc3M1EhUykKiQgQC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6dSp9+/ZNc7JlUFAQR44cwc/PLwdarC82Npb9+/fr7eKZWU2aNOHHH3+kQoUK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\nI6gh5byDOX81iowsY47xmynx7D2+ldT0ZCqUrYLOyvqR2hT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OHXyjyevTpk1j7NixzJ07l4KCAnx6+JIwYJT+9Z+Ptn1gjVarbfO5QnRGkoiLTiUzM1O/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\nxUa7xhLnfpP59k/45g9dbY9j4fDWWPCvAsO7y/RtBw5lXt7vTUkjZsT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shzxL85CYmMjSpUsJDAzE0dGR3bt34+DgYHSOPEvLIc8yvYSEBIscmrJ7926GDBliGAb8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\n07RIOp0NHZ/vzesth5gLDSHym9FoZMSIEWzcuBEwjYwnJSV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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -892,7 +890,7 @@ "execution_count": 12, "metadata": { "collapsed": false, - "scrolled": true + "scrolled": false }, "outputs": [ { @@ -901,15 +899,25 @@ "text": [ "PREDICT\t\t\tUPDATE\n", " x var\t\t z\t x var\n", + "(1.0, 401.0) (1.351841154783717, 1.9900744416873448) 1.3535959735108178\n", " 1.000 401.000\t1.354\t 1.352 1.990\n", + "(2.351841154783717, 2.990074441687345) (2.070349464840893, 1.198408751864744) 1.8820653967131618\n", " 2.352 2.990\t1.882\t 2.070 1.198\n", + "(3.070349464840893, 2.198408751864744) (3.7357238224806713, 1.0472580836195666) 4.341047429453569\n", " 3.070 2.198\t4.341\t 3.736 1.047\n", + "(4.735723822480671, 2.0472580836195666) (5.960160449584709, 1.0116765678499313) 7.156332673205118\n", " 4.736 2.047\t7.156\t 5.960 1.012\n", + "(6.960160449584709, 2.011676567849931) (6.949396530475968, 1.0029106453754295) 6.938695089418526\n", " 6.960 2.012\t6.939\t 6.949 1.003\n", + "(7.949396530475968, 2.0029106453754295) (7.396252519656308, 1.000727132237836) 6.843912342028484\n", " 7.949 2.003\t6.844\t 7.396 1.001\n", + "(8.396252519656308, 2.000727132237836) (9.121670120559637, 1.0001817500203842) 9.846824080052299\n", " 8.396 2.001\t9.847\t 9.122 1.000\n", + "(10.121670120559637, 2.000181750020384) (11.337631330190714, 1.000045435440623) 12.553482049375292\n", " 10.122 2.000\t12.553\t 11.338 1.000\n", + "(12.337631330190714, 2.000045435440623) (14.30538006966205, 1.0000113587311334) 16.2730841073834\n", " 12.338 2.000\t16.273\t 14.305 1.000\n", + "(15.30538006966205, 2.0000113587311334) (15.052894906364974, 1.0000028396747196) 14.800411177015299\n", " 15.305 2.000\t14.800\t 15.053 1.000\n", "\n", "final estimate: 15.053\n", @@ -965,7 +973,7 @@ "data": { "image/png": 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YvBqWrIXzF+3Pm83Qv7N1Jdf2zRQiRcqjixcvcv78ebtjNWvWBCh2PuXAgQM5ePAgixYt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\nzz1oYngvE+2bmUodKHMZnp4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IrOVn7Yns3Nr69aZ6+bb9SEmF9+dBVhYA1S9/8y+/wIsv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\n", 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++eYbnWNW5Y1XRKdOneDk5ISdO3dq5ETn5+dj9erVUCqVZc6qF3fy5EkYGxuj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\nomhfFPrbtWsXbW1tnD59mvj4eJqbm7l48SLHjx8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t21B0XadhwyeoXr2+bfsbyeYN7u7uecp/HTTyr9PV/fW3kCSgQoh7KZSa0AED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wYAQGBvbaLvx1dXXIysrC5cuXO+wcwvM8QkNDMXz4cJ3D1RDjqaqqQlJSEurr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\nWKiFWszKAiFMxUxCLRU0hhFBIAWmiUEPpLa+aEW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u3YzrDxgwABcXFwYPHsyxY8f45ZdfmDZtGh98YPrQfOaZZ1i3bh3z58/n/Pnz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\npuDtrXxBEMISSPIuyr2Pd37M+lPrjfX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2zdK4+01NfXt9Z2fLlw63izA6mi3eCXFkS6KW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\nq6N4lJgxDOVYZ0uXLmV+//vf21yGcqzvMWMYyrGerFq1iom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YAYCrqysRERG0atWK7777jmrVquW5bw8Pj/yPSgiV/XVFqLSerzqdjiFbh7Dq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\nrY8WWm+t47W3VjzW+jjK/L384efpBz9PP/h6+I6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3ikhkf58Rqq3Hq0KhwJdRXyLyz0ih9nH7j7FxyEZoqrNxVza1/XhVZidsTqDP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\nxvJu68kkMmj9tdAF6KDz17le++vEbV2Aq0zjp0G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KchX4hzVrFrJlyyajDNVT1Rjq1/egceMaOW4rKVkhUXXhoVKNvccL8fYId34+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\n8eVSFwZNL8nbI8pSo68XLu0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9zLhxI1AU/Uv3fZmHiQq+E0vht9w57b7yJRP58/tA3qye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\nCAhgxIgRfP3114SEhFC/fn1atmzJtWvXd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wZcsWhISEYNy4cXjllVewYsUKKSYgIAArV67EpEmT4OnpaXacVatW4eGHH8bc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\nEaNoQMnlMyi5fAZymRMG3H0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USa6j9ttvvykooKIxIGfZiovevXsTAHJzc6P//vuPdSDGjRsnl060XIsjW7t3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2gux7NnzzBgwADUq1cPnTp10kniNzc3F4sWLULXrl3h4+MjSXsDwBJXZTIZGjVqJPIEf/vtt5gy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\n72t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jamrKtGnTcHFxoX379oU7QyGEEEKIEurSpUsAbNq0ierVq5OSksKSJUuIiIigZ8+e/PLL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gQYPye1pPbOPGjSQnJ9OuXTs2bdrEr7/+SseOHVmxYkWOgfewYcM4e/YspUuX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\nZP6yJT09PUaOHMnIkSMz/diSJEmSJGU/6bLUREdHJ8Wv/seOHcuYMW/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x7IMHD1JRFFG5dNeuXXrb3rx5UywyrVGjBvPnz08AbNSokUG/V65c4VdffSWO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VlZ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\nBg0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r2AkTJpAkt23bRgAsUaJEjq/z+yKddOa+E/Py5UvxpJj5Bn+bDXlFZid99erV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\nxMxsbjF58mQtB2XIkCE6616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XryM0NBQAQBJ79uwBADg6OmLLli0gifbt2yMqKgorV65E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\niImJEV9++aWoqqoSlZWV4pVXXhFKpVK0trZKYz744ANha2srDhw4IKqqq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GgAiVAguSdZifrEPKNDV8PHwkEiJyP2d3OLFDa/w6OzuhUHh3WaCLJ2YfNV6N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\nP/zhD5g1axZUKhV6e3uhUqlgsViwefN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dZ9ya0yxyuQpAUEg4+y48ovuMfWRuMZtqQ9Yxb5c7z3w+6XroKYIZWy/ID6xF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QHUNbINZcIE8nDFxKgrQeiCq/8YTps2FHqUnGzbOO358yk3YfVqMqIuXABatqTZFSmGqq5wiiap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\nopKIhhAfH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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2180,7 +2188,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 32, "metadata": { "collapsed": false }, @@ -2191,7 +2199,7 @@ "(11, 7.000)" ] }, - "execution_count": 8, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" } @@ -2216,7 +2224,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 33, "metadata": { "collapsed": false }, @@ -2227,7 +2235,7 @@ "(11.350, 4.550)" ] }, - "execution_count": 10, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } diff --git a/08-Designing-Kalman-Filters.ipynb b/08-Designing-Kalman-Filters.ipynb index 5de29a5..d41e3c6 100644 --- a/08-Designing-Kalman-Filters.ipynb +++ b/08-Designing-Kalman-Filters.ipynb @@ -317,7 +317,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In the last chapter we worked with 'textbook' problems. These are problems that are easy to state, program in a few lines of code, and teach. Real world problems are rarely this simple. In this chapter, and the remainder of the book, we will work with more realistic examples. \n", + "In the last chapter we worked with 'textbook' problems. These are problems that are easy to state, program in a few lines of code, and teach. Real world problems are rarely this simple. In this chapter we will work with more realistic examples, and learn how to evaluate filter performance.\n", "\n", "We will begin by tracking a robot in a 2D space, such as a field or warehouse. We will start with a simple noisy sensor that outputs noisy $(x,y)$ coordinates which we will need to filter to generate a 2D track. Once we have mastered this concept, we will extend the problem significantly with more sensors and then adding control inputs. \n", "\n", @@ -335,7 +335,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This first attempt at tracking a robot will closely resemble the 1D dog tracking problem of previous chapters. This will allow us to 'get our feet wet' with Kalman filtering. Instead of a sensor that outputs position in a hallway, we now have a sensor that supplies a noisy measurement of position in a 2D space. At each time $t$ it will provide an $(x,y)$ coordinate pair of the noisy measurement of the sensor's position in the field.\n", + "This first attempt at tracking a robot will closely resemble the 1D dog tracking problem of previous chapters. Instead of a sensor that outputs position in a hallway, we now have a sensor that supplies a noisy measurement of position in a 2D space. At each time $t$ it will provide an $(x,y)$ coordinate pair of the noisy measurement of the sensor's position in the field.\n", "\n", "Implementation of code to interact with real sensors is beyond the scope of this book, so as before we will program simple simulations of the sensors. We will develop several of these sensors as we go, each with more complications, so as I program them I will just append a number to the function name. \n", "\n", @@ -383,9 +383,9 @@ "outputs": [ { "data": { - "image/png": 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SpYptL0TEzjJMqo8dO8bo0aPZvn07Dg7W3Sxk9+7dVm1PcjaNd/6m8c/fNP45V/369YmK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\nFChA+/btqVGjBtWrVwfgypU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Sk5PNgwcPNlesWNHs6upqrly5svnf//63+fbt2+nqafzz\nhs2bN//tv/tvvvmmpU5GY33nzh3zgAEDzCVLljS7ubmZ27dvbz5//nx2X4pVGczm3LzLtoiIiIiI\n/WlNtYiIiIhIFimpFhERERHJIiXVIiIiIiJZpKRaRERERCSLlFSLiIiIiGSRkmoRERERkSxSUi0i\nIiIikkVKqkVEREREskhJtYiIiIhIFv0/H3eGW7dgqeUAAAAASUVORK5CYII=\n", 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Gw317Qbq7u5OQkGCdKEVERKTQpKamcu7cOQDS09NJSkoiKysLwKrPUIWFhWFra8vChQvp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\nyntx9uOPP5obNmxodnR0NPv6+pr//e9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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -414,7 +414,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Step 1: Choose the State Variables" + "### Choose the State Variables" ] }, { @@ -426,24 +426,19 @@ "$$\\mathbf x = \n", "\\begin{bmatrix}x & \\dot x & y & \\dot y\\end{bmatrix}^\\mathsf T$$\n", "\n", - "There is nothing special about this organization. I could have used $\\begin{bmatrix}x & y & \\dot x & \\dot y\\end{bmatrix}^\\mathsf T$ or something less logical. I just need to be consistent in the rest of the matrices. I like keeping positions and velocities next to each other because it keeps the covariances between positions and velocities in the same sub block of the covariance matrix. In my formulation `P[1,0]` contains the covariance of of $x$ and $\\dot x$. In the alternative formulation that covariance is at `P[2, 0]`. This gets worse as the number of dimension increases (e.g. 3D space, accelerations).\n", + "There is nothing special about this organization. I could have used $\\begin{bmatrix}x & y & \\dot x & \\dot y\\end{bmatrix}^\\mathsf T$ or something less logical. I just need to be consistent in the rest of the matrices. I like keeping positions and velocities next to each other because it keeps the covariances between positions and velocities in the same sub block of the covariance matrix. In my formulation `P[1,0]` contains the covariance of of $x$ and $\\dot x$. In the alternative formulation that covariance is at `P[2, 0]`. This gets worse as the number of dimension increases.\n", "\n", "Let's pause and address how you identify the hidden variables. This example is somewhat obvious because we've already worked through the 1D case, but other problems won't be obvious There is no easy answer to this question. The first thing to ask yourself is what is the interpretation of the first and second derivatives of the data from the sensors. We do that because obtaining the first and second derivatives is mathematically trivial if you are reading from the sensors using a fixed time step. The first derivative is just the difference between two successive readings. In our tracking case the first derivative has an obvious physical interpretation: the difference between two successive positions is velocity. \n", "\n", - "Beyond this you can start looking at how you might combine the data from two or more different sensors to produce more information. This opens up the field of *sensor fusion*, and we will be covering examples of this in later sections. For now, recognize that choosing the appropriate state variables is paramount to getting the best possible performance from your filter. Once you have chosen hidden variables, you must run many tests to ensure that you are generating real results for them. The Kalman filter runs whatever model you give it; if your model cannot generate good information for the hidden variables the Kalman filter output will be nonsense." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### **Step 2:** Design State Transition Function" + "Beyond this you can start looking at how you might combine the data from two or more different sensors to produce more information. This opens up the field of *sensor fusion*, and we will be covering examples of this in later sections. For now, recognize that choosing the appropriate state variables is paramount to getting the best possible performance from your filter. Once you have chosen hidden variables, you must run many tests to ensure that you are generating real results for them. The Kalman filter runs whatever model you give it; if your model cannot generate good information for the hidden variables the Kalman filter output will be nonsensical." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "### Design State Transition Function\n", + "\n", "Our next step is to design the state transition function. Recall that the state transition function is implemented as a matrix $\\mathbf F$ that we multiply with the previous state of our system to get the next state, like so. \n", "\n", "$$\\mathbf{\\bar x} = \\mathbf{Fx}$$\n", @@ -457,17 +452,12 @@ "y &= 0x + 0\\dot x + 1y + \\Delta t \\dot y \\\\\n", "v_y &= 0x + 0\\dot x + 0y + 1 \\dot y\n", "\\end{aligned}\n", - "$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Laying it out that way shows us both the values and row-column organization required for $\\small\\mathbf F$. In linear algebra, we would write this as:\n", + "$$\n", + "\n", + "Laying it out that way shows us both the values and row-column organization required for $\\small\\mathbf F$. We convert this to matrix-vector form:\n", "\n", "$$\n", - "\\begin{bmatrix}x \\\\ \\dot x \\\\ y \\\\ \\dot y\\end{bmatrix}^- = \\begin{bmatrix}1& \\Delta t& 0& 0\\\\0& 1& 0& 0\\\\0& 0& 1& \\Delta t\\\\ 0& 0& 0& 1\\end{bmatrix}\\begin{bmatrix}x \\\\ \\dot x \\\\ y \\\\ \\dot y\\end{bmatrix}$$\n", + "\\begin{bmatrix}x \\\\ \\dot x \\\\ y \\\\ \\dot y\\end{bmatrix} = \\begin{bmatrix}1& \\Delta t& 0& 0\\\\0& 1& 0& 0\\\\0& 0& 1& \\Delta t\\\\ 0& 0& 0& 1\\end{bmatrix}\\begin{bmatrix}x \\\\ \\dot x \\\\ y \\\\ \\dot y\\end{bmatrix}$$\n", "\n", "So, let's do this in Python. It is very simple; the only thing new here is setting `dim_z` to 2. We will see why it is set to 2 in step 4." ] @@ -494,9 +484,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Step 3: Design the Process Noise Matrix\n", + "### Design the Process Noise Matrix\n", "\n", - "We will use FilterPy's functions to compute the $\\mathbf Q$ matrix for us. For simplicity I will assume the noise is a discrete time Wiener process - that it is constant for each time period. This assumption allows me to use a variance to specify how much I think the model changes between steps. Revisit the Kalman Filter Math chapter if this is not clear." + "FilterPy can compute $\\mathbf Q$ matrix for us. For simplicity I will assume the noise is a discrete time Wiener process - that it is constant for each time period. This assumption allows me to use a variance to specify how much I think the model changes between steps. Revisit the Kalman Filter Math chapter if this is not clear." ] }, { @@ -508,43 +498,41 @@ }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[ 0.0125 0.025 0.0 0.0]\n", - " [ 0.025 0.05 0.0 0.0]\n", - " [ 0.0 0.0 0.0125 0.025]\n", - " [ 0.0 0.0 0.025 0.05]]\n" - ] + "data": { + "text/plain": [ + "array([[ 0.00025, 0.0005, 0.0, 0.0],\n", + " [ 0.0005, 0.001, 0.0, 0.0],\n", + " [ 0.0, 0.0, 0.00025, 0.0005],\n", + " [ 0.0, 0.0, 0.0005, 0.001]])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ "from scipy.linalg import block_diag\n", "from filterpy.common import Q_discrete_white_noise\n", "\n", - "q = Q_discrete_white_noise(dim=2, dt=dt, var=0.05)\n", + "q = Q_discrete_white_noise(dim=2, dt=dt, var=0.001)\n", "tracker.Q = block_diag(q, q)\n", - "print(tracker.Q)" + "tracker.Q" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Here I assume the noise in x and y are independent, so the covariances between any x and y variable should be zero. This allows me to compute $\\mathbf Q$ for one dimension, and then use `block_diag` to copy it for the x and y axis. The printed result shows how much noise we add during each evolution (prediction). " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### **Step 4**: Design the Control Function" + "Here I assume the noise in x and y are independent, so the covariances between any x and y variable should be zero. This allows me to compute $\\mathbf Q$ for one dimension, and then use `block_diag` to copy it for the x and y axis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "### Design the Control Function\n", + "\n", "We haven't yet added controls to our robot, so there is nothing to be done for this step. The `KalmanFilter` class initializes `B` to zero under the assumption that there is no control input,\n", "so there is no code to write. If you like, you can be explicit and set `tracker.B` to 0, but as you can see it already has that value." ] @@ -557,28 +545,26 @@ }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "0\n" - ] + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "print(tracker.B)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### **Step 5**: Design the Measurement Function" + "tracker.B" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "### Design the Measurement Function\n", + "\n", "The measurement function $\\mathbf H$ defines how we go from the state variables to the measurements using the equation $\\mathbf z = \\mathbf{Hx}$. In this case we have measurements for (x,y), so we will design $\\mathbf z$ as $\\begin{bmatrix}x & y\\end{bmatrix}^\\mathsf T$ which is dimension 2x1. Our state variable is size 4x1. We can deduce the required size for $\\textbf{H}$ by recalling that multiplying a matrix of size MxN by NxP yields a matrix of size MxP. Thus,\n", "\n", "$$(2\\times 1) = (a\\times b)(4 \\times 1) = (2\\times 4)(4\\times 1)$$\n", @@ -592,13 +578,8 @@ "\\frac{1}{0.3048} & 0 & 0 & 0 \\\\\n", "0 & 0 & \\frac{1}{0.3048} & 0\n", "\\end{bmatrix}\n", - "$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "$$\n", + "\n", "which corresponds to these linear equations\n", "\n", "$$\n", @@ -629,14 +610,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### **Step 6**: Design the Measurement Noise Matrix" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this step we model the noise in our sensor. For now we will make the simple assumption that the $x$ and $y$ variables are independent white Gaussian processes. That is, the noise in x is not in any way dependent on the noise in y, and the noise is normally distributed about the mean 0. For now let's set the variance for $x$ and $y$ to be 5 meters$^2$. They are independent, so there is no covariance, and our off diagonals will be 0. This gives us:\n", + "### Design the Measurement Noise Matrix\n", + "\n", + "Wee assume that the $x$ and $y$ variables are independent white Gaussian processes. That is, the noise in x is not in any way dependent on the noise in y, and the noise is normally distributed about the mean 0. For now let's set the variance for $x$ and $y$ to be 5 meters$^2$. They are independent, so there is no covariance, and our off diagonals will be 0. This gives us:\n", "\n", "$$\\mathbf R = \\begin{bmatrix}\\sigma_x^2 & \\sigma_y\\sigma_x \\\\ \\sigma_x\\sigma_y & \\sigma_{y}^2\\end{bmatrix} \n", "= \\begin{bmatrix}5&0\\\\0&5\\end{bmatrix}$$\n", @@ -652,18 +628,21 @@ }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[5 0]\n", - " [0 5]]\n" - ] + "data": { + "text/plain": [ + "array([[ 5.0, 0.0],\n", + " [ 0.0, 5.0]])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "tracker.R = np.array([[5, 0],\n", + "tracker.R = np.array([[5., 0],\n", " [0, 5]])\n", - "print(tracker.R)" + "tracker.R" ] }, { @@ -715,14 +694,15 @@ "cell_type": "code", "execution_count": 10, "metadata": { - "collapsed": false + "collapsed": false, + "scrolled": true }, "outputs": [ { "data": { - "image/png": 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BwdSpUweAm3dV3p0Pq7YZ1m9ZF/7TOgJPl274+39m0quMCssgfsYmsWkCISEhaDQaNBoN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\nMTGRatWqMW/ePGxtbbO8PmvWLObOncu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APvratWv55S9/SXt7OykpKVRVVY3bMb6o+Ph4li9fzmuvvYZSqcTlcnHrrbcO26+2thaH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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -730,6 +710,11 @@ } ], "source": [ + "from filterpy.stats import plot_covariance_ellipse\n", + "\n", + "R_std = 0.35\n", + "Q_std = 0.04\n", + "\n", "def tracker1():\n", " tracker = KalmanFilter(dim_x=4, dim_z=2)\n", " dt = 1.0 # time step\n", @@ -742,8 +727,8 @@ " tracker.H = np.array([[1/0.3048, 0, 0, 0],\n", " [0, 0, 1/0.3048, 0]])\n", "\n", - " tracker.R = np.eye(2) * 5\n", - " q = Q_discrete_white_noise(dim=2, dt=dt, var=0.05)\n", + " tracker.R = np.eye(2) * R_std**2\n", + " q = Q_discrete_white_noise(dim=2, dt=dt, var=Q_std**2)\n", " tracker.Q = block_diag(q, q)\n", " tracker.x = np.array([[0, 0, 0, 0]]).T\n", " tracker.P = np.eye(4) * 500.\n", @@ -751,7 +736,7 @@ "\n", "# simulate robot movement\n", "N = 30\n", - "sensor = PosSensor1 ((0, 0), (2, 1), 1.)\n", + "sensor = PosSensor1((0, 0), (2, .2), noise_std=R_std)\n", "\n", "zs = np.array([np.array([sensor.read()]).T for _ in range(N)])\n", "\n", @@ -759,68 +744,18 @@ "robot_tracker = tracker1()\n", "mu, cov, _, _ = robot_tracker.batch_filter(zs)\n", "\n", - "# plot results\n", - "zs *= .3048 # convert to meters\n", - "bp.plot_filter(mu[:, 0], mu[:, 2])\n", - "bp.plot_measurements(zs[:, 0], zs[:, 1])\n", - "plt.legend(loc=2)\n", - "plt.gca().set_aspect('equal')\n", - "plt.xlim((0, 20));" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "I encourage you to play with this, setting $\\mathbf Q$ and $\\mathbf R$ to various values. However, we did a fair amount of that sort of thing in the last chapters, and we have a lot of material to cover, so I will move on to more complicated cases where we will also have a chance to experience changing these values.\n", - "\n", - "Now I will run the same Kalman filter with the same settings, but also plot the covariance ellipse for $x$ and $y$. First, the code without explanation, so we can see the output. I print the last covariance to see what it looks like. But before you scroll down to look at the results, what do you think it will look like? You have enough information to figure this out but this is still new to you, so don't be discouraged if you get it wrong." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false, - "scrolled": true - }, - "outputs": [ - { - "data": { - "image/png": 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ChAn07NmTq666iosvvrh4HGDVqlUsXbq0ONJdKBSYMWMGmUyGDz/8sDgtpq6u\njscee4y7774bp9NJOp1m0qRJnH766fz1r38ttnfGGWfQt29frrvuOh566KHi8Xw+z/HHH8+UKVMA\nOPPMMxk4cCD33nsvZ511Fh6Ph2OOOYazzz6bvffem/HjW5fbev7555k4cSI33XRTh54zIXZ1BcNk\ndWOCaDpBXI+jGxm8bltxwV+2YBJNNNGU8eBL+EkkCmSUJmoq3MVdB22agk2zYxgWhmnRq1dvxhz9\nGs+9vmHNis+T4oADZnPd6XtQFupJPJVDi2okc0kaIymakjrVgQDpdIFsziKTLWAZKn5HkOqKIDWl\nftmsRQixUbvE9I9PPvmE6dOno2kal19+OSeccAK5XI4zzjhjm8+ZPe6448jlcjzzzDPous7s2bM5\n6aST2pz3xBNP4Pf7GT16NJFIpPinb9++VFZW8vrrrxfPXR+oLcsiHo8TiUQYMmQIpmmyYMECoGWR\npMPh4I033iAajXba45k4cWKrQA0tK+6HDh1KOBxu1fdDDz0Uy7J44403Wp1/7LHHtpo6MnjwYABO\nPvnkVvPMBw8eTD6fL04NmTNnDs3NzZx44omt7iefzzNs2LBWz9F667+IrDds2DCWLVu2WY81GAwy\nb948Vq9evVnnCyHaKhQM7n7gUSZd9luuumEKn3/5Ad2rfJSF3IT8TkJ+J+UlbrpV+nB5DL6KrGR5\ndDWxdLpVlQ1NU/G57LhsbhJJkztm9W8VqLtVJ7l16nwG7p0mkclhGCYBr4NulX66hEsJOcoJaBV4\nlBI0y4ta8BB2ltMj1I1eFVX0qi6RQC2E2KRdYqT6008/BeDwww9n+vTpmKbJ7NmzWbt2LZFIhLKy\ntrtn/VhKSko4/PDDefjhh9E0jUwmw/HHH9/mvCVLlpBIJKisrGxzm6Io1NfXF39evHgxF198MW++\n+SaZTKbVeeunZDgcDm688UYuvvhiKisrGTx4MOPGjePkk0+ma9euW/RYFEWhd+/ebY5/8cUXfPzx\nx5SXl7d7zbf7DtCtW7dWPweDQYA2/Vp/fP2XgiVLlmBZFocddli79/PdhZ92u73N81lSUrLZXzJu\nuukmTjvtNLp3785+++3HmDFjOPnkk4tTTIQQ3+/8S67kLw/8FZwFyMd57p9/56abbuKII45odZ6q\nKgS8DrwuB8sav6bGFaQxlqKixFc8x+91oDUFuGJmDcu+3vA+MmD3Jq6a/BF+bwGXq4J0PkNK9xDw\nOnHYNcppmtTdAAAgAElEQVRCbvSsQdhdRrdwKT6PA1VRcNg1fG6HLD4UQmyWXSJUV1VVAfDuu+/y\n6quvsnTpUjKZDC6Xi1AotI171zIF5JRTTiEWi3HYYYdRWlra5hzTNCkrK+Pxxx9vd3S9pKSlZmo8\nHi8u0psxYwa1tbW43W5WrVrFqaee2mph4Pnnn89RRx3F7Nmzefnll5k2bRrTp0/n+eef/97ycYZh\ntHu8vTKApmkycuRIrrjiinb7/t0gvrGqJxs7vr5N0zRRFIVZs2ZRU1Ozyf4DbUbUf6hjjz2W4cOH\nM3v2bObMmcPtt9/OH/7wB2bNmsUJJ5zQobaF2BV8tGgxf/nrX1ECcO7EU4lEGnj00UeZOnUqY8aM\nwW5vZxtvBfxehYwZI5H2EvS6Wd3g4r1Fbt5f7GbuR7vRFNtwXe+a/6IlLuSWmQqjR41mr70HUijk\nKXzrPSwS07EpTrqUhOlRFZIFh0KILbJLhOohQ4Zw6KGH8uqrr7YaxZwyZQo227Z/Co488kicTidz\n585l1qxZ7Z5TW1vLK6+8wuDBgzdZpu7111+nqamJp59+utViuVdeeaXd83v06MHkyZOZPHkyq1ev\nZp999uH6668vhuqSkhKam5tbXZPP51mzZs1mP77a2loSiQSHHHLIZl+zJWpra7Esi7KyMkaOHNkp\nbX7fCFVFRQUTJ05k4sSJxONxBg8ezNSpUyVUC7EZPlz0GThg/333YNKkc7EsixdeeIFYLEZjYyPV\n1dWtzrcsC9O0qG8I8PWqcj5bUsnnS8NEYu2EbyDseZClH54BtATod+e+y1m/mcwhw8dhmhaGYdIU\nz5LPqVT7K6iRCh5CiA7YJeZUa5rG7NmzOf/88xkwYAA/+clP+Mtf/lJcoLatud1u7rrrLqZOncov\nfvGLds85/vjjMQyj3fJ2pmkWg6+maes+eDaMSFuWxcyZM1sFxEwmg67rrdqpqamhoqKiVYiura3l\nP//5T6vz7r777o2OVG+s7++//z7//ve/29yWTCbJ5XKb3damHH744YRCIaZPn04+n29ze2Nj4w9u\nc/0XmO9OCTFNk3g83upYIBCgV69ebb6ECCHaKhgmgXApOCw+WTifl156iYceeohYLIbdbi/+9s00\n4YvlDh5+PsgFN1Yz/pK9ufqWQ7nv8b2Zu6Cy3UDtdGQ5/tB3iXx5EQ5PBWf95mKO/eV4QGPWgw+j\nZw2iiRyr6tOoppsugRq6lgVxO9sP50IIsTm2/TDtj8Tr9fLHP/5xW3ej6LvTIL5d0aM9w4YN49xz\nz+Wmm25i4cKFHH744TidTpYsWcJTTz3F73//e0455RSGDBlCaWkpp5xyCpMmTcJut/Pkk0+SSqVa\ntffFF18wcuRIjjvuOPbcc0+cTifPP/88n332GTNnziyeN2HCBM4++2yOPfZYRo0axcKFC5kzZ067\n86M3tujz4osv5tlnn+Woo47ilFNOYeDAgWQyGRYtWsRTTz3FokWL6N69++Y+dRu9T7/fz1133cVJ\nJ53Efvvtx4knnkhlZSUrVqzgxRdfZK+99uK+++77Qe27XC723HNPHnvsMfr06UNpaSm9evWiX79+\ndOnShWOOOYZ99tmHQCDA22+/zUsvvcSkSZO26LEIsSvJ5gr07tObgw8ewpuvPMvkCy5quUG1M+Gs\nc0hnXUy9s5JX57lIpje9QNDvNRi0Z4af7JnhJ3tlSGSXUfflfB7LZBk48EBGH/xT0vk0Tz/zCnrO\nSTRSoLs/SHWglIDHRWnAjVNK4wkhOkjeRbaRzV348u3zbr/9dgYOHMhdd93FlVdeic1mo3v37pxw\nwgnF6Q4lJSW88MILXHTRRVxzzTX4fD6OPfbYYlm49bp168ZJJ53Eq6++yqOPPoqiKPTt25f77ruP\nU089tXjexIkT+frrr7n33nt56aWXGD58OC+//DKHHnpom8ewscfkcrl48803mTFjBk888QQPPfQQ\nfr+fPn36cPXVVxfnvK9vo712Ntb2d4//8pe/pEuXLkyfPp1bbrkFXdepqalhyJAhnHXWWVvU5n33\n3cfkyZP53e9+Rzab5dRTT+Wee+7hvPPO4+WXX+bZZ58ln8/Tq1cvZs6cyeTJk9ttVwixgWlZ5PIF\nzr/oYrr27MH8D9/HZrdx8MEHM+qwUfz+niD/fivQ7rU+T55+tY30q21kUP8CB+/rxOv+9ihzFxYa\njVBI8sG7rzLvjUEs/WoFRnMBT6CcfbsNYI9uFYQD7lYVRIQQoiMU60euKbe++gRsqN7wXbqut6qz\nLMTORl7jYmuYP38+AIMGDdrGPWn5LVImW6BgmFiWhaoqOO02HPaWKWrLVkf58KsVRHKrcLrz2GwU\na043RBxceN1hmGbL4mSnU2dAnziHHwSD9kjjcESoS63BIE+Ft5yeFaVtRpoty+Kyyy7jmWee2XDQ\n5uPaK2/g7F+dRkWJ90d7LnZl29NrUoiOvh6/L8PKSLUQQohOUzBMYkmdWCpLKpchb+TXhWoVl+bC\n53aSyRZoTMZoyjSSV9N0KfFht20YMX7iX/2Kgbok/A1/u24ppb4AlSVeFEUhEnOQKQRYsnYNFW61\n3cWFiqIwY8YM9t57b+bNm4dq93LoYUfws4N/SsgnX2iFEJ1PQrUQQohOEUvqrI0mSGSTJLIJLLWA\nw66hAGbBojFtkKlT0bMmOZJUl/qJZrMYhoV93adRNObgxTc31KT/2ajPiGUTKApoqkJ5yEs44KQp\n5ibsKCeeMsjlTey2tiU3VVXlhBNOZMzPjiGTsaj0VVIdDuCwt1+eUwghOkJCtRBCiA6LJjKsbopR\nl6zD7rAIlzhwO1uPCGeyeT5PNPN1YhU1JQEKhg2X5iGZTuJytgTdp1/qQTbX8vfaHnFOHGuSL7hp\nbG7CqToJel047Boup43uJV3wuu3E4mma4kn8HjsOu4aqgGFapPQCGb2A1+6j2ldCTWmAgNf5oz83\nQohdg4RqIYQQHZJIZ1nTFGdtci0hvw2/t/1qHRndQLXn6FLuxEJHtyCXcYFNIZUuYJounnt1w06I\nJ/58GYoCDruK22UjlU+RSLtRVQ0NOz2qygkH3C1TTbI6iVyCeGbddBNFxWXzUxbwE/C4KPG7pGSe\nEGKrklAthBCiQxpjaRpSDQR87Qfqzz//nK+++grVVYa/OkC4xIHNplAfzaDZbTjUAIlknBfe6EpG\nb/lY6l6T5P/2ry+24XPbaYwmWdXoosTjp8ZfTXWpH6/bQTjgIZXJkcj4NyyMVBScDhshn0sqfAgh\nfhQSqoUQQmyxtJ4nldUpkCPgbV1Rw7Ispk2bxkMPPQSKDVxBBg7fl2uv+i2qYiPodRCP6zRGw6xc\nU80Lr22oV3/cz5ahrsvChmGR0Q0aY1lwGOwWLqdLWRCve0OA97odrX4WQogfW6eF6rVr13LZZZfx\nwgsvkEgkqK2t5c4772TYsGFb1J5lWZtdy1mIHcmPXMVSiE5hWRbJTI5YKksub2CuGw2OxNNEMxGC\nIVub9+zZs2fz0EMPYbPZOODAIby/eCUffGQybWY9pZWHsmyFn2UrfeRyrT+KSgLN1HZfxqq6lvYU\nVDx2D+UuL+WecrqUBmVutBBiu9MpoToWizFkyBCGDx/Ov//9b8rKyli2bBkVFRVb1J6qqpimiabJ\nCm2x8zFNE1WVX0eLHYNlWTTFMzQndZK5NPFsnJyRw7RMVEWlvjFHLBelpy2IhUmJ310M1++8Mxf8\nx1Mz4ELW2PemUOFAQWHep8CnG7/PpiUXM+2yj5h58w0Eg0FUVcXjspHx5Cn3+PG4ZG60EGL70ymh\n+sYbb6Smpob777+/eKxHjx5b3J7dbkfXdRwOB6qqyoi12ClYloVpmuRyOdn4RewQLMtidWOCxmSc\nSDqCopkEPHbCTheqAhYQT+msTDVTl8qiGwGyeYPKEh9fLHcyd+UMlJrdWRnZ9P34vWkSDe9gZRZQ\nGlgCtn+xamkjf73jRu64445iHeqVdQY21VbcJEYIIbYnnRKqZ8+ezdixYznhhBN4/fXXqampYcKE\nCZx77rlb1J6iKLhcLvL5PPl8vtVtiUQCAL/f3+F+C9FRP/T1qKoqLpdLviiKHcKaSJK6eDNRvZHS\nkAuPq+1HhsdtozTgJOTXaE5GiScV7nikK0+/Wo5ptn6dW5YBxpfsvluGgw7wUNs9QUVZlHfeeIEH\n/nw3Yw47mPFnX0y190RGjRrF3LnvFAN1JltAtWx4HC6cUmdaCLEd6pRQvWzZMv7yl7/w29/+lssv\nv5yPPvqI8847D0VR+M1vfrPR69ZvFymEEKLzdMZ7azKTZ3UsQTQXoTRgo7mh/dHhtU1Z6jONxJrg\ng8W7869XB5LKbFiwqCoGVvRPmLHH0ZTljPn5GA48eH+Cvpb26usLNDfHwDJZvnw5zmwjcxd+BoCm\naSxatAiApkQeJ36MQJKm1bIgcUcjn/die7Klr8c+ffps8vZOCdWmaXLAAQdw/fXXA7DPPvvwxRdf\n8Oc//3mToVoIIcT2w7IsDLPlT1MySzwbJ+DTWm0hvnTpUubOnUs+n2ffffeld9+9ia6q4cFnDmT5\n6i6t2htQW8cZRyykKR2ga+BMfD4/DbECjdkIes7CYQc9Z7LvHvswx/Uk//vf/zj11FPRdR2Agw8+\nGIBMziCXVyhxefC1M1ouhBDbg055d6qurqZ///6tjvXv35/bbrttk9cNGjToB9/X+m8XW3KtEJ1N\nXo9ie7Klr8d8waA5qRNPZdELOdLZHKrVjMNl0qNLS6UNj8vBnDlzuOKKKzAMA4AXXnybvUfOZvE3\nwzGtDVM9SoIZJhz3Nb88zMTv6QX0Kt4WS+aoiyZoTDdgt1uUV9jpEqxk93v/yoUXXsjq1asBOO64\n47j66qvJGQpNzVn29VVTEw4RDrg7+CyJH5O8R4rtSUdfj7FYbJO3d0qoHjJkCJ9//nmrY59//nmH\nFisKIYTYukzToi6apDmZIZFLkMglQTFoTmZZk4hgamlWxbLEMj4cqp0rrrwawzA48sijiHMEb3wy\nlkUrq4rtaarJL8Ys5+ejP0cD0nolfk/rqRpBnwPD8FIwTL5Yu4oynwctpLHvvvvy6quvEolE8Hg8\noDpoSuTJ56HKV01FMCCBWgixXeuUUP3b3/6WIUOGMH36dI4//ngWLFjA7bffzg033NAZzQshhOiA\n9dM6TNNCVRU0VcGy4JuGOI3JZiKZRjwuGxVhB05Hy3SPrGXH7fFgWAZNmUZikQSJrImvdCBrbQ/x\n3ieeVp8g+/SLc8KRH9GzWwKPW6M5XqBgmO32x+exQ5NGbbAvHpeDQs5gZV1yXVUPD5mEiV2x8DvD\n+NweykNeSvwSqIUQ27dOCdWDBg3imWee4fLLL2fatGl0796d66+/nrPPPrszmhdCCLEFsrkCzUmd\nRCZHrpDHxERFxa7ZSOt50oUkaTNOdZkHx7cqaliWhWm17BXgcaj4PDaMgoFSNomk+3Le+2RDwLXy\nqzju8E+5/Kyu1EU9NKV16jMZsjmTgt/6Tn8M4qkcab1A95Jqwp6WqSXxdJZ0NotptYRwVVHxOJ0E\nvU4CHqeU0BNC7BA6bcXH2LFjGTt2bGc1J4QQYgsVDJO1TUni6ZZpHclcEgsDRVGwLIt0xiKRLJA1\nU/SqDqKprUvfqYqCqqiYZsvc6a9X+Ln1vgPBewzrz7SsAkT/yJDdX+P35/8RRVGoUb3YNY1oMsna\nZIL6xgyaoqEqCoZpgaXhd/jo6vcT8rmpLPGhqgrhgJt8wcA0LSxAUxXsNimbJ4TYscgyaiGE2Ink\nCyYr6mI0pCLEszF8HjuVpc5WI9HL18T5JlaPpWaJpC0sBarCPmzrRoTtdg2H5iCeTPOPF2p54rle\nGMaG0WKH8gWVTGGvIRo3XPeHYt11l9NG1woviqLgsIKUeEKUuB1YWKiKisvmIOB1EvS6WvUHkBAt\nhNjhSagWQoidhGFa1Md1rEQ9edJ0rfC2mTqRyxvkDQO326I87KUpkcRKWShAdakfVVXwe+ysXFjB\nzAe7srouULzWZjM5Zuzn/HzkanqUTqEs5KU9pmlSW1VNz4owNk3FomX0226THXKFEDsvCdVCCLGT\niKVzNGfjBC0/VaWe4m6E35bSC6TzaTwuDbtNozzopL45SXPGhidlR9f9PDA7xIP/CmGx4fo9doty\nwRmLqapIEmnOkc4G2rQNEE/lcapufE4XXrds0iKE2HVIqBZCiJ2AaVokM3mS+RRlIVerQL1gwQLu\nv/9+otEovfsO4PBfHEkgvH66hUpDfQX/fL+MxZ91Zdk3nlbt2m05Tj5mCceMWYWqgoWCYRotc6S/\nI5XJE0vkqfJXSfk7IcQuR0K1EELsoCzLIpHOoecKRJMZ1sTi6EoOrA2B99133+WMM84obtjy/oef\n8s7Czzn2pJv59MuuvL+wjOa4s/32Uy+Ti16KkTqUeGoEfo8NTVNoWU64gWGYxNN5EskClb5KqkJB\n/J722xRCiJ2VhGohhNjBvPHmf/jvBwvxBsIccNBgTFtLtY8VidV43BYrGprxupz4PU5mzpyJYRj8\n9Ocnk3aNZ+4HHr7JHcCf7t9IkLZyaPp/6N9vOUNrF3DXPZ/x+H2NjB45mrq0js1ukc2CnjNIpHJk\ncgYZvYDX7qPaX05VKEBp0NNu20IIsTOTUC2EEDsIy7I4d/IF3HnvQ+BSwAE9e3Xl7jtvx+F0otpz\nKI4C9ak6HFkn/oyflXVN4DmUuav/SnPCATb47kzrUCDLwAENqOabzHn0dxwybACnnHs5B+w+jHvv\n/RuZ5rWE7G4UTwl1zc1oBQsr7ySbsePSvJQFfPjdTkr8bjwu+zZ5boQQYluTUC2EEDuIJ5+ezZ33\nPYS9xMHIUcNY9OE8vl6ykDv+dBMXXHINToeCz2WjssxNWi/QEG9Eq7wWQqfRnGhdBSQcWMPIoSmG\nDIrQt1eMfMFgwUeNzHkkyVtvvcVBBx3EnCeXkc/nCYVC9O5eQcEwyegGPQLldCsP43XZsWsqAa9T\nSuIJIXZ5EqqFEGIHUDBMXv7Pf8GrcNwJP2fqFRexePFijj76aBYsWICmKqioWJaBqihkdR9/vHcA\nTbkw66vYWYW1EPk9e/ZezTXXnk/aSlBe4kBVFQzLou9ufTl89OG89Nw/ue6664r3fdVVV6EoCmnd\nIOz10SNcSs+q0DZ6JoQQYvskoVoIIXYAsaSOzWMHNc9XXywilUoxf/58APx+P06HDafqRM+m+GBR\nKTfdPYBYYkNJu1LvJ3SxX82hR/bmlFOuI5IoUEgUiDRnKA05yGQKuO0Brp16FQcOHMC8efNwuVwc\nffTRDB48mEQqRzxZoNpXTalU9hBCiDYkVAshxHbOsixiqSzDDhvGg4/ewbvvvsv+++9fvH38+PH4\nPXZsqovn3h7A3AX7Y1ktw9OqYnHUmM84YWyEnuXXEfC2LFCstJtYFjQmm1jdkCSbNSgpcxPwuhg/\nfjzjx48HIJMtUNeUJp9TqPJVUR0OSGUPIYRoh4RqIYTYzqX0PMlsmsrqMmbd/zeuvPJKPv/8c0pK\nSjjnnHP45S9/SX2TjbufGsWX31QUrysJZrnsnI/ZrXcD6RQk0r5iqLbbVKpKPSgK6PUqhmmQSBVo\njOloqoJlQTZvgKkRcAapCPioKvET9Lm21dMghBDbNQnVQgixncvmCugFHY/LTtcBA5g9ezamaaKq\nLYsPP/rMxTnTqonGN7yl7717A5efu5hQIIeFRlMsRa5gtGrXblNxOTTK/SH8tlICXgcGeSzLRFEU\nAm47XoeboNdJ0OfC9p0tz4UQQmwgoVoIIbZzpmWRLxQomHmSaQUU0FQFl0MhratceHNVMVArisXJ\nR6zikGGLKBgGelbD5dRQFQXTsjBNC1VVSOsFYsksiumgtryGrmVB7DaNbL6AaVooioJNU3E7bShK\n2+3OhRBCtCahWgghtmN6rkB9c4rVkQRZNYY33VK6TlM1PHYn9/2zB6vrW2pDW0qKgwc/x5BBpVT5\nK0jlUsTiSZoVnWgij9vKE3Hr6DkDDTsBZxi/00eXskCxvrTDLqXxhBBiS0ioFkKI7ZBpWqxtShJN\npVgTi9CQilDQ4qiuljnRhZzJh1+U8PiL5cVrDhjwH847ws6AAT0oGCbJtJNE2k9zMk2KNE78uAgS\n9DjxOl2EfC4CHieaTOsQQogOk1AthBCdqGCY6LkChtEyL1lTFdxOO6q6+VMoTNPim4Y4jclmmjIR\n3D4bPSpKaMjkCHps2GwqhqFw3T/3KVb52LtfM8P3XQG0hGybphLyOwn6HFiWRchZSvfSCipCXuw2\nTXY+FEKITiahWgghOkEmm6c5qRNP62TyOqZlAi3TNLwODwGPk5DPtVnTK9Y2JWlMNhPNRqgqc7dc\nY1mkCh6SmQwhv8rsl7uzbEUQAIfd4IRfvIcj6yCp51u1ZZoWlgVdQi0btsjOh0IIsXVIqBZCiA4w\nTYs1kQTRdIpENkEyl8TpUNHWjUznsyaNaQV/2o8/7qc85KMs6Cleny8YxFJZEulsyzbg2QKrIlGa\n8w10r/Rw911/Yd68edgdboYe9lP6D+xPLObgwad2K7Yx/shl7N67wIKPY9jTdgzDRNNULMuiPpoh\n4AwS8LgkUAshxFYkoVoIIbbQ+mkaDYko0WwEv9dBl5CnTem5XN4gnkqyOhEnb1ZQMExKA27qoyni\naZ1kLkkil6BgFmiMZWhINONyGVx4+TTee+e/YOhg5Jj73/eZeO4F/Pfr88nmWgJyz64Jjhn7NTab\nDbsGGUMnqefwuhw0RDPYcFPuLaUy7NsWT5EQQuwyJFQLIcQWWhNJ0JCI0pxrorrMi93W/oI/h12j\nLOQm4y5Q17SWfMFkVUOcgpomno3hcdkoK7Gjqg4MyyBFgdUrv+C9Re/iLPNwwVmX09xQz9133Mqs\nR+vJh1s2eFEUiwknLgIMTFPBYYd4Ms1Xq+OU+DwEnAHKvaV0LQ9IjWkhhNjKJFQLIcT3yOYKNCd1\nUnoew2zZ3juXL9AQT5CyIvSqCW40UH+b22kj5Hfy6Vcr0FSV6nInXSu8xeobyUyebCGL26Gip6NQ\nSLDXfnux+/79CHuGcN+s58kFprF+yePYYXX0rknT2GRgWiaplEoiZULeRY2vC2G/h/KQVwK1EEL8\nCLZKqJ4xYwZTpkzhvPPO47bbbtsadyGEEFudnivQ0JwikdFJ5BIkcykMswBANJ4jlk7i89moi2qU\n+F14XY7vbTOTLZAsRLFpNrye6lbl7CzTwrRMbDaFrl26ArDwo/d56cW3eGfhUPJVH6CoXgAq/7+9\nO4+yqyoT/v8959x7hnvPHWuuDCSBGOYARqbYqJig/NoB2xZslYg4Mfky+Pbboq2Cvhih6c7SlklQ\nX6EFogg4IqRbkCFMAZlCgJCBDKSGW1V3Onc44++PCkWKSgDJTSrA81mr1iLnnrP3rqydU09t9n6e\nNo+vnVoiijpw/ZAgjKglqhihT2+ujRldOZLWa49HCCFEa7Q8qH7ggQe4+uqrmTt3bqubFkKI3cap\nu2wqlCjUhqh5DnYiTlebTjxm4gchTd9noF4mFilsKdeoODbrV6/CbzgccMABzJo1a0Kbrhfg1F3Q\nXHQzpFJzydrWhPuiCPbZZx8WfOAk/vu+udx4x1koqo2yzYLzYXPvY11/xBH7TR27VikYqKpCNiUl\nxYUQYndraVBdKpX4zGc+w89+9jMuuOCCVjYthBCv28jICOeffz4PPryCTLaN004/nQ9+8INoqkLS\n1F8zZ3S96bGpUGJLpY+4HjItb497pumFBJFLPqPTlouzcfMgX/vu19j07CZoOijaVP7uQ1eR6ngH\nh8y26Gzz6Wrz0eMOzbBGNhOn6Xo0PQ8/CMcCYFVV0FSNUjHGb5ftw/JnrkNJjn9Nz5rqsO+cB/iP\ns6dPGHcURQRhhIYmBV2EEGI3a2lQ/aUvfYkTTzyR97znPa1sVgghXrdarcYx71vIU8+shlgcYuv5\nyxe/wPe+9z2O/8Dx2EbyVXNGR1HElqEqA9VBdCOkPTtxJTncuk1D00BB4WfXXMGmF54jNfVDxK2v\nMNx4N/c8Pdr2H//yyqf3JZNqkknX6cqFzOhR6O4I6cr7dOQ9li6Ls/zRw2k0xxdnmTG1wkePe4Z3\nH+JQGAm2+73X3RBDNUkYuqxUCyHEbtayoPrqq69m7dq13HDDDa/7mRUrVrzh/nbmWSFaTebjnsEP\nQpbeehtPrVlP24xuPn3Kp3jm6Se44/bb+cGVl5DrTREEKslYgmQsSS5pkk2O33dca/psGilT8ofo\nyMTZsnHiqrbTCOgrVfDUKralseLJaZC9hKo6H5qgvEbxxFLFoFQx2LAZHn7q1e/tbh/ig8c8xNx9\n11Bv+qxeY9GdyvLkk9XtjiulpVm3ehWDm6RiothzyDtS7Ene6HycPXv2q37ekqD6ueee4xvf+Ab3\n3XcfqiqrI0KI3c8PQvqKDTYUNoMdcNi8Obz7iAOYu9807vjjzZSGNtOR0fH8EKdRY6Beww9zhFGS\nvG2MtVOpe9R8h4ShoewgOlZV8Dyd5SsP5qEnDsVPnskr74ycO+jtHubA/Q5npGwyXLYYLJpUaiZM\nuHuidKrAh9+7gnkHrkFVo/FtR9GE+51GQBRoJAyLhCGJnYQQYndryZv3/vvvZ2hoiP3333/sWhAE\n3H333Vx55ZU4jkM8PnHVZN68eX9zXy/9dvFGnhWi1WQ+7hmiKGJDfwlygxxyxIHcfMs13H/vnRx6\n8H48+OCDwOgKw0EHHTT2TK3hUxhp0G33MKUtSy5l4Qchz28eQi9vGJfq7uV+YFN/jJ/9QuHuh6dS\nrcVe8bmL4v2aaPgy0soz/MvpV/LBdweAAzise7HM+uHNKCTpG7DA68bzbAaGYgwMx+gfirG5UORz\nH/E5eP+NlJoubdm9MfTRcZSqTdQgwfT2TrK2OdZvxXEZKXsMvzBMLqlz+OHv2jV/0UL8jeQdKfYk\nO68E9H4AACAASURBVDsfS6XSq37ekqD6Yx/7GO961/iX+CmnnMI73vEOvvGNb2w3oBZCiFap1FxG\nahVqQYV/+PAC7vmfBSxbtoxLLrkEAMuy+Na3vjXumYQZI581GCgNYMVH91gHQYgf+sRiKkGo8cx6\nnWfWGTy7TueZ9QbPrjMoVSfuw7aTLr253/H8E+cRhEO053u58F8uZsG7x2dB0uMatmnguCXmzo4z\nra2OnXh5f3SpVOKiS3/Iw8tGeP6JaRz3/32IoREPw1BIWhr1ZkDeNNBjoyXInYZPxXEJfJWeVA9K\nqo5tyftWCCEmQ0uC6nQ6PW6VGiCZTJLP59lvv/1a0YUQQuxQsdqg0qyQtQ3isRg/+MEPuOmmm3jy\nySfJZDL84z/+IzNnzpzwnG3FKVdd1g/UefJ5m1UvaNz3VIZV6zNs2GIShK++TSOfdTj+vWv58II+\n0imbq656J7f+9g4KgwXO+spX+OrZZ/HFL35x7P5UIk5UMHCcKsk2i+Q2AfDIyAgnnngiGzZsGLu2\n7E9/Ysl/XolhGgwUypQcn3g6omh4FIpNdNUkpbeRSibpzCapD0peaiGEmCy7bOPdjvYiCiFEKzVc\nn0qjTjOs02nZAGiaxkknncRJJ5007l4/gHWbt1l9Xmewap3OUHHb1d2J2T62lUoGZDP9/J/Pwtx9\nhxiuVBiq1/mf/17GrbfcClqSqVOnsem5Z7j00kuZOXMmCxYsAEazhgRejJSex9L1ce/Ja665hg0b\nNrDPPvvw2c9+lhtuuIGnn36a3970c8756tdw6zEytklPNk/WNNEUjYQxusKeThivmSZQCCHErrXL\nguo///nPu6ppIYQYU2961L06CTO23V/mB0c0rliaZ/njKi8O2Lje6z9MPb3bZc5Ml31nNtl3RpN9\nZzXp7fB56JlNW4uumMDoocF7lj8OaopPnXwKn/nIP/G7m67nist/xB13LOPIo99D2XGJAo29O6YS\nEVBvlHG9YCyt37p16wA47bTT+PCHP0xbWxtnnHEG69etIwgipuRzdCQ7mdaRJhbTUBVluykBhRBC\nTA45Ii6EeFMLw4ggCtBiE4PlMIRzL+lmxcrEq7Zh6AFzpoccvl+Mvad6tOUHmTF9hOk9xnbv37aK\nYWfOIqap6K4Ono3fTFKq+jiuCvEMjq/jVBWyRju2MbpNo1p36S/r9BUKZFI6thWjp6cHgBtuuIH2\n9nZ+8YtfgBIj1zmd0IvTlepgr64cpi6vbSGE2BPJ21kI8ZawnSxz3LQsPSGgzmcaHDQ7YN+ZTfab\n2WTOzCYRw8zITmf2lDaCMMaaF3U2VVw8P058O8H6K+XTBh9a8G4ef2wlv7xiKQ//9i+sW/scEOOj\n7z2B6bne0W0aSQNFUUglRqs6xtU4xXqRYsXhY584md/9cRmP/PUpTvn86aDqJFI9fOHk0+lJdTG1\nMyMBtRBC7MHkDS2EeFPTNJW4GsfxxxdDGRjW+Lf/1z7254P3e4arvhEnlw7H3ecHIZsHFDRVRdNU\nNA0ySYua10bf0DA97YnXrE4YhhELjv8oa9YMceNPfsG6J19A1WJ89zvf4bRFJ014XlEUuvM2tqVT\nrCap1BpUjRzXXHkD1/z0GjZt2MS0nmmce9Y5HHbw/mRtUyokCiHEHk6CaiHEm1bD9XHqLpVKyGan\ngh/6JIw4tqWz+JpuKs7onuO9ely+8ul+cuneCW1Uah62PhrgvqQ7b+P5AWElZEuhSC5lkLS2v2e7\n1vAZqTQxlCQXff27XPwv59O3ZTOzZs2ivb19wv3bsi0d29JxvSSVms1e7V383Q/fhaoqmHoM29Ll\n0LcQQrxJSFAthHjTKVUbW9Po1ak2qwzXy4xUq1S8EdpSSVY+M4Xb7k2N3X/hGQMcefDEgDqKIqo1\nj65kO5nky8VUVFVhakcaVVXQHZ1ytcxwuYptxYnFVBTACyKcuodGnIzRRj6ZZkp7ingsx/RpU/6m\n70ePa7RlXn3ftxBCiD2bBNVCiDeNKIroG65SqFQYqY/ghg3shE5XZ4xQSzFQG2DIqfOf108be+ZD\n7xnhyLn17bY3XG6iKya2YZEwxxdN0TSVqR1pMkmTYjVFpVHHcR08PyCKIjRVoyvRTtIwydommaQp\nae2EEOJtTIJqIcQexam7FKsN6q5PGEYoCmiqim3p1JoeI7UyQ7UC+YxB0rLHtkdEEWixiMuX9jJc\nHF31TdlNPvmh5yg7SdLJ8Zk8hksNGnXoTXfQlUtudyyKopBOGqSTBg03SbWeJghG92Rrmoqlx0ha\nUnBFCCGEBNVCiD1E2WlSKNVw3DrlZpm6VyeIAhQUNDVGMBCj6vg0KTNneg47MX5luT1rsvJ5k/+5\n7+XKiSd/7Ck8dYDBYgdGXCOmqVTrPmXHJa4Y9KY7mdKewTJeu7S3qcck+4YQQogdkp8QQohJVyjV\n6CuWKDgFAjzSSZ3c1vzPURThegGr1hdZP7KZzlyCQlknFlMw9ZeDYT9QWHLddKJodOX6kH2HedfB\n/ZSqTcrlASpOQC5lkYgn6UzksQ2Lrpw9YduHEEII8UZIUC2EmFTD5Tp9IyX6q31k03FSSXvc54qi\n4AURphnR2a6jx30GnQIAvfkU+tbV45/dmuPZ9aNbPCwj5FtfHiRl95C3XPqGaiTUPL12O9nk6B5o\n2bYhhBCilSSoFkLsNg3Xx/UCwihCVRSCIKR/pEK/008uq2Nb2181rtY8qp5DKhHDTsQYKjUYqg0T\n1zSmdKR5dl3Af16fHbv/K58aYv+9VcDGD0KSpk5SMenK2rRnJcuGEEKI1pOgWgixS4VhRLnWpFht\nUG3WcX2XMApRFZWKEzDslLBsD0s3JzxbKpVYvXo1Nd8gltXJpEdfWfmMwca+Bg9tMHhipcqvblPx\n1a2vs+ajdOr3AR8EIKapZJI6zbqHH4YT+hBCCCFaQYJqIcQu03B9Ng+WKTWqVN0KbtjAMmKoqoLv\nh6wfLlNwCkyLZdg4GNGZTZIwR7dl3HbbbXzta1+j0WiAnmfO4QdwyucuYPX6KTy2Ms/K53K43mhx\nF8aKDQZEW77I+V9byaGHHMSUKaP5ohVVIYxCwnA7tcyFEEKIFpCgWgixS9QaHhsHiwxUBwmUJumU\nTtJ8OQVete6Rzah4cQVPqdJfrREE7XTlU/S/uJF//ud/xlP2Jjvrk1SCw3m2/yi+fklmh/1FBBxz\nxCMMGrDqCZfHHntsLKiOwghFUSSPtBBCiF1GgmohRMu5XsDmQpn+6gBa3Kczm5hQbjsIIrzAI5WI\nk03FKTkug7VBIhSuubGA170MJXEMJYA4bC8c7myr0P/Cr6F8Gyd86mi+fdp7+fjHSwDoxssHERtu\ngK4miGvqdloRQgghdp4E1UKIndZ0fWpNj2Dr9oqhUo2BSgFF9+jIjT8Y2Gw2efTRRxku1Ul3d5PK\nj76GjJjJHQ918sc/703f4BEo2ztPGG7h/e+OmLv/MHP3HyZkmJ9f9jvu/OOt3HrVr/jDT+N4nkd3\ndzdHHXkUAEEQUmv45FP2hAIwQgghRKtIUC2EeEOiKKK6tfphpd6g5tUIooAgDHlxwKHojjCjJ0W1\n7pI04yiKwsZNG/niF77IunXrQDXRczk+f8Z5FOsf4w9/nkrF0V/Rh0eseQdh5TbC5gqOOW4q/+vU\nL6DHR1ecXxyM+MpX/hdJ1ef3v/8dnucxZ84clixZgm2Ppuar1DwS8STphEk8pu32vychhBBvDxJU\nCyFeN88PaHoBruvTN+JQadRwI4dm0CBhacRiKjXHpRIMUfJGGHAa1LwUaTNBVy7JV8/7KuvWraOn\np4dE/mjWFP+BK5f+AyjjV5ATlscR+63k4T99msrIKgDet+Dv+dLnTmOoWKMzb+AFITE1TtpO8u//\nfikXXfR/aTabZDIv77uuNXzKVZ+eVAdZe2J2ESGEEKJVJKgWQryqKIpwGt7oinStgePV6BuqMlwr\n0QgdurJJOnNJ0kmdeEyj6QUYVsSMfBJFCRmpFXD9FFXH4fHHH0dJvpe95t/Cg09mUMbXeaG7o8aH\n3r+ed819gX06O2n72o1s3LiRdDpNZ2cnfUM1BitFBobLQEjayJBKjAbkpmlimubYmKs1j5GyS2ey\ni65sWoq9CCGE2KUkqBZC7JDnB2wuVKg0apSbZWqeQ9lxGXbK1MIyaTtG0WvgjTQoOknyKYswjAij\nkJimYhoapqFRKFV5em0nTP9vsI7lwSfH99PdvpFTTxri6HkDRFFIYcQnjCJM02T27Nlj93XmLACi\nksL6gSHUtAr50YORiqIQhhFOw6dac9FVk+5UD12ZNO0ZKfgihBBi15KgWoi3iTCMcP2AIAjH0ssZ\ncW1CVo6XuF7AxoESA06Bml8lndSxEgZN3yUWNJjdlkLTFJpugNNw6K9W8MM2AvelNkcPLa7fmOHa\nm/fmocc6UayX24+iAKq3koxu5LsXfQbL1lCVOP6r1GfRNJV82qBQNJjTPgfbNHAbPo7jERKhomDG\nTbrtdlKGRS5lyeFEIYQQu4UE1UK8xbleQLHaoOQ0aPhNwmg0atUUDStukLFNsrZJbJt0c0EQsrlQ\npq86QKA0mNKRRFUVBkbqOK6DndDQtNFg3NA1DF2j4QYMlQooXgo39Bkq2dx82xzufqj7FSMKiErX\nwtBFzJoGl/77EpLZXgr1YQaHGxiGQkzV0NTx6e/CMKJa9yiWXWa299KRypJJGlRqLl4QEm0tfa7H\nNbK2iWVsv+S5EEIIsSu0JKhevHgxt9xyC88++yyGYXDkkUeyePFiDjjggFY0L4R4A4IgpG+4SqlW\np+JWqLpVVC1C21oAxfNDlEgjVUuRKqXI2RaduSSKojBSbTDkFPGiOj1tozmm/SCkWnepeTW6MhP3\nJ5u6Rjat89RzPn9YdggPPdFLFL28Cq4oEYcfsonPnzDMQTMO5OFVF7PwqINQFAXXC9CGVUr1Chv7\nhzA0Ey8ZUnZcYPQXg1o9wIxZdNndtNkpetpGC8mkk3IAUQghxORrSVB99913c9ZZZzFv3jyiKOKb\n3/wmCxYsYNWqVWSz2VZ0IYT4G/hByKbBMoOVYUrNIpapkc/ERoufKAqaqqBpKo2mT7lWoVQuUvPa\n8YKQnrxNqdqg3CzTkTfHtoe4XkjTbxKPg6YphGHI7bffzurnV5NOZZhz4Kd56ImDueOeXsJw/Crz\nUYf1c/I/rCGVKmDHsuhWG8cdffDY53pco7c9gVXRcCoaWSNHUovj1kcrIcaVGL2pJOmERSZpjB1O\nFEIIIfYULQmqb7vttnF/vu6668hkMtx33338/d//fSu6EEK8TmEYsXmwTH+lQLFRJGGq1NwmpZo/\nuvVDAQ0NU4+TThh0ZE08P6R/uADliGqtSSNooGghhq6NazeMQlR1NKD+zne+wwMPbQTzM2CdjHLn\n/hPGcuCcAT5/4hr23acCwHBZIYxCou3sm1ZVBT+ImN3bRUeyjYxtju3/1lSFVMJAj0ueaSGEEHum\nXbKnulwuE4YhuVxuVzQvhHgVQ+UaW4pDvDDSR8JSKJdr1LwaKCGKqhBFEWEQYTRMyo0kiapFOmHQ\nmTMZGB5ixHXxqdHW9oo9yQpEEQwMWdxw0zAPPHMBSvsCUCaW/o6rj7LfXn/h3FP3RY37BKGOpipb\njy5OPBgZhhGDI3WUUKcj1cb0rowUahFCCPGmokRRFLW60RNPPJG1a9fy8MMPT8gsUCqVxv579erV\nre5aiLe1KIpY21dlVWED6BVC1cXUFSxdHXcQMYoiGl5IvRkShgrpeIa0aWLENLYMRIQETO/WqdaS\nrNmcY83mLM9vyrJmc5ZaY/t7mKOwCs1fQf3nED4CDYOD9juET372RBphHdNQaLg+GT1HT8bGiGsE\nYUStEVBrhhiqRd7I0pmxMGRFWgghxB5m2xSv2xYae0nLV6rPO+88li9fzn333bfDVF1CiNbw/BDX\nH818gTJakvuFkWHK/jB5G1KJGOp2/h0qioKla1i6huuHlGtFioVORoZ7Wbkuy+aBNgZG2ik7r3EI\nMArpbHuWnHkLz/z1e0CNgw47glkzT+C2W5fx5CP3sODYY5g2cxaVpsNIOSCWUCjFfCAgDBSsmEWb\nniSh67SnTOKxiSvfQgghxJ6upUH1ueeeyy9/+Uvuuusu9tprr9e8f968eX9zHytWrHjDzwrRapMx\nH19KkVeuNWn6Lk3fJYpCogg2rBumGt9Cb1cn75iWxdC3/0+8WI6zel2G1evTrF6X5rl1aYaLry+L\nRjLhsdeUIZ5fdTXNkavpH9hE/zafX3zRtxksNhl5scrdf/o9+ZTGgnfPY92LZdyaTlcuS9Y2Rg8g\nqjHSCZNM0iRhSgq8nSXvR7GnkTkp9iQ7Ox+33W2xPS0Lqs8++2x+9atfcdddd41bHhdCtEYURQyV\n6wwWq5TdMlW3CkqIHlfRVIVSzWVjeQv9jS1UBstc9qNfs3HdWtIJnRNP/AQnnHACW/oTfPeHh7B+\nU+p19WknAg7Yu8mB+zQ4cHaTOTPqhNEQA7V+nnkhwyN/2Zfnn4+RSqdYu2YtjuNw5ZU/pqt3Nise\neAiigGnTphGEEQlDZ+98LzO6c2iaigLENBVNk5VpIYQQb34tCarPPPNM/uu//ovf/OY3ZDIZ+vtH\n161s2yaZTLaiCyHe1oKtKfKGnDLD9SESlkpX2/hsGA03wLQCkq7HlVf+gHq9CTGVkUqTq666mngs\nzrNb/mWHAbWhB+w1tcjeUx268zX227vKB49OocfHB70jFYsgamPfvSKOPOtcLHN0DHf95S6+v/j7\n/PZ3t4N/F9SaHHvssRw49zAKIw267G66cymS1sQc10IIIcSbXUuC6iuuuAJFUXj/+98/7vq3v/1t\nvvWtb7WiCyHetsIwYtNgmf7KEBWvRFebNS7VHUC96VNrNgnwePbpJ6lXiszaexaLPvclHn3kcX57\n42+4+dY/UNT+beyZfNsW5swqcdQhPu+YUWJqr0PT9SkWQ7xqmu58hrLTpD1rjesrlzIIw9H80UPl\nIao1HzsR4z3HvIekneY3f/gzYRmOOPRgPv6Pn6RYDuiyu+lMp2nLJHbL35kQQgixu7UkqA7D7SSd\nFUK0xGDRYcgpUfVL9LYntrtdot7wqXk1bCuG23SBGLNmzWBKTw5n31lgKAw5h+Lqo0VTTHOE//r3\nJ3nlGUbL1NjYdMjq7WSNDM1GhWKlSTY1vthKW8ZEUxXiWpyaV6NadRgq1bGys/j8orlkrRQ9uRwp\nI4WtJ2nPJMmnxwfnQgghxFvJLslTLYRojXrTY6jiMFwforv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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from filterpy.stats import plot_covariance_ellipse\n", - "\n", - "# simulate robot movement\n", - "N = 30\n", - "sensor = PosSensor1([0, 0], (2, 1), 1.)\n", - "zs = np.array([np.array([sensor.read()]).T for _ in range(N)])\n", - "\n", - "# run filter\n", - "robot_tracker = tracker1()\n", - "mu, cov, _, _ = robot_tracker.batch_filter(zs)\n", - "\n", "for x, P in zip(mu, cov):\n", " # covariance of x and y\n", " cov = np.array([[P[0, 0], P[2, 0]], \n", " [P[0, 2], P[2, 2]]])\n", " mean = (x[0, 0], x[2, 0])\n", - " plot_covariance_ellipse(mean, cov=cov, fc='g', alpha=0.15)\n", - " \n", - "# plot results\n", + " plot_covariance_ellipse(mean, cov=cov, fc='g', std=3, alpha=0.5)\n", + " \n", + "#plot results\n", "zs *= .3048 # convert to meters\n", "bp.plot_filter(mu[:, 0], mu[:, 2])\n", "bp.plot_measurements(zs[:, 0], zs[:, 1])\n", "plt.legend(loc=2)\n", - "plt.gca().set_aspect('equal')\n", "plt.xlim((0, 20));" ] }, @@ -828,23 +763,20 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Did you correctly predict what the covariance matrix and plots would look like? Perhaps you were expecting a tilted ellipse, as in the last chapters. If so, recall that in those chapters we were not plotting $x$ against $y$, but $x$ against $\\dot x$. $x$ is correlated to $\\dot x$, but $x$ is not correlated or dependent on $y$. Therefore our ellipses are not tilted. Furthermore, the noise for both $x$ and $y$ are modeled to have the same value, 5, in $\\mathbf R$. If we were to set R to, for example,\n", + "I encourage you to play with this, setting $\\mathbf Q$ and $\\mathbf R$ to various values. However, we did a fair amount of that sort of thing in the last chapters, and we have a lot of material to cover, so I will move on to more complicated cases where we will also have a chance to experience changing these values.\n", "\n", - "$$\\mathbf R = \\begin{bmatrix}10&0\\\\0&5\\end{bmatrix}$$\n", + "I plotted the $3\\sigma$ the covariance ellipse for $x$ and $y$ in green. Can you explain their shape? Perhaps you were expecting a tilted ellipse, as in the last chapters. If so, recall that in those chapters we were not plotting $x$ against $y$, but $x$ against $\\dot x$. $x$ is correlated to $\\dot x$, but $x$ is not correlated or dependent on $y$. Therefore our ellipses are not tilted. Furthermore, the noise for both $x$ and $y$ are modeled to have the same noise standard deviation. If we were to set R to, for example,\n", "\n", - "we would be telling the Kalman filter that there is more noise in $x$ than $y$, and our ellipses would be longer than they are tall.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The final P tells us everything we need to know about the correlation between the state variables. If we look at the diagonal alone we see the variance for each variable. In other words $\\mathbf P_{0,0}$ is the variance for x, $\\mathbf P_{1,1}$ is the variance for $\\dot x$, $\\mathbf P_{2,2}$ is the variance for y, and $\\mathbf P_{3,3}$ is the variance for $\\dot y$. We can extract the diagonal of a matrix using `numpy.diag()`." + "$$\\mathbf R = \\begin{bmatrix}1&0\\\\0&.5\\end{bmatrix}$$\n", + "\n", + "we would be telling the Kalman filter that there is more noise in $x$ than $y$, and our ellipses would be longer than they are tall.\n", + "\n", + "The final value for $\\mathbf P$ tells us everything we need to know about the correlation between the state variables. If we look at the diagonal alone we see the variance for each variable. In other words $\\mathbf P_{0,0}$ is the variance for x, $\\mathbf P_{1,1}$ is the variance for $\\dot x$, $\\mathbf P_{2,2}$ is the variance for y, and $\\mathbf P_{3,3}$ is the variance for $\\dot y$. We can extract the diagonal of a matrix using `numpy.diag()`." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": { "collapsed": false }, @@ -853,7 +785,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 0.257 0.101 0.257 0.101]\n" + "[ 0.00656 0.00298 0.00656 0.00298]\n" ] } ], @@ -870,7 +802,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": { "collapsed": false }, @@ -879,15 +811,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[ 0.257 0.102]\n", - " [ 0.102 0.101]]\n" + "[[ 0.00656 0.00278]\n", + " [ 0.00278 0.00298]]\n" ] }, { "data": { - "image/png": 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iwVdhK3ZJROcUTeQQGs2i1lGHeo8PLbUeSBJPZiaii8eATkRFdWbGlkAsBE2f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\n3rwI6F/60peETqcTer1+ys9fT4GzePF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GvBJkMhky0jRoCjTB1eJPdjhE1I8lfNqkqakJgiDAbrd3arfb7Xjrrbe6HONyuZCfn39e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\n+9rX8Lvf/e4KRUxfdCn5e+6553Ddddf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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -911,7 +843,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -923,7 +855,7 @@ " [ 0.0, 0.0]])" ] }, - "execution_count": 14, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -936,7 +868,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## The Effect of Filter Order" + "## Filter Order" ] }, { @@ -965,7 +897,7 @@ "\n", "$$ x = \\frac{1}{2}at^2 +v_0t + x_0.$$\n", "\n", - "This is also known as a *constant acceleration* model.\n" + "This is also known as a *constant acceleration* model." ] }, { @@ -988,16 +920,17 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": { - "collapsed": false + "collapsed": false, + "scrolled": true }, "outputs": [ { "data": { "image/png": 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cuXMN2qUXZktNTaVBgwZcunSJsmXL0rt3b0xMTFi0aBFbt24FoHLlyi8szyuyziuNVC9Z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\n+/vTrVu330yoS8vHx4e1a9fi6+tLVlYW586dIzg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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1072,7 +1005,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": { "collapsed": false }, @@ -1136,7 +1069,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": { "collapsed": false }, @@ -1202,7 +1135,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": { "collapsed": false }, @@ -1229,13 +1162,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Evaluating the Performance" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "## Evaluating Filter Order\n", + "\n", "Now we can run each Kalman filter against the simulation and evaluate the results. \n", "\n", "How do we evaluate the results? We can do this qualitatively by plotting the track and the Kalman filter output and eyeballing the results. However, a rigorous approach uses mathematics. Recall that system covariance matrix $\\mathbf P$ contains the computed variance and covariances for each of the state variables. The diagonal contains the variance. Remember that roughly 99% of all measurements fall within $3\\sigma$ if the noise is Gaussian. If this is not clear please review the Gaussian chapter before continuing, as this is an important point. \n", @@ -1251,7 +1179,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": { "collapsed": false }, @@ -1277,7 +1205,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": { "collapsed": false }, @@ -1304,7 +1232,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 20, "metadata": { "collapsed": false }, @@ -1313,7 +1241,7 @@ "data": { "image/png": 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u3Uvp0qUzNUghRNbZuHEjrVu31v1BWLJkCQEBAcyZMydD9aTVggAQExOjG5NL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\nCSGEEEJUIlLcCSGEEEJUIlLcCSGEEEJUIlLcCSGEEEJUIlLcCSGEEEJ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1340,7 +1268,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 21, "metadata": { "collapsed": false }, @@ -1356,7 +1284,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 22, "metadata": { "collapsed": false }, @@ -1365,7 +1293,7 @@ "data": { "image/png": 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mM5qa7CESJQMAAgLa4OZmB5EoBjwPWFkVwt29EQxzBgADIB2WlnUAjgNgUVsb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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1389,7 +1317,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 23, "metadata": { "collapsed": false }, @@ -1398,7 +1326,7 @@ "data": { "image/png": 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uhujoH9G1ay7E4kqIxWL1ZpgQQgghhBAVKB0UrF69Gjk5Oejduzd+/PFHnDt3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\n+xaIiIiIiHROm0oKmiIxMRFDhgxRWTZ06FCcPHmy3v0sLXth48bNuHL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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1422,7 +1350,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 24, "metadata": { "collapsed": false }, @@ -1431,7 +1359,7 @@ "data": { "image/png": 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ZOp2Oli1bcu7cOaysrDA0NFQnOP3f//731tF8r169wsPDg3379lG8eHGsrKy4\ncuWKOg/Xh/DkmcL+07D7JOwNgqu3kz8urz34tE5I7LJmkaROfDhvaxHWaJK2Gr++XblyZX7++Wd+\n++03du3ahU6nIzAwkKpVq9K+fXscHR2ZMGECv/zyC7GxseTOnZvq1avTo0ePNMUiPpw0J3dFixZl\n06ZN9OrVi507d3Lv3j0aNmyo7r916xbW1tbpGqQQInOdOHGCZcuW8fz5c2rVqoWXl9db38hv3rzJ\nmTNnyJo1Kxs3bsTY2BgvLy+1vGrVqknOmTVrFpUrV6ZSpUqYmpoyatQo7t27p3YF+RCJXeRThVUB\n4L8bjp9POtr1v6q6QL+20LyGTDosPjxvb2+8vb3feExoaKjedsGCBfUaaBL5+fnh5+eXbB1ubm64\nubm98Tr/XfFFZL40J3cDBgzA09MTa2troqOjKV68OHXr1lX3BwQEULZs2XQNUgiReTZt2oSHh4f6\ngbBo0SJOnDihDmRIjcTWg8SE8L+Pkp4/f6624imKwqRJk1i3bh0A33zzTXq9jDeKj1fYGwxLtsGm\nQIhNoWugmQnULAt1K8JXlaBEAUnohBAfnzQnd23atCFHjhxs27YNKysrevfujaFhQjURERHkzJmT\njh07pnugQogPT1EUvvnmG+Lj4+nSpQtFihRhxIgRzJ49my5dulCuXLkUz82bNy9lypThr7/+okWL\nFhgZGfHgwQPy5Mmjnrd7924mTpxIQEAAkDDzffny5T/IawO4cithObBlO+F2eNL9Gg2UK5KQzNWr\nBFVLgqmJJHRCiI9bmpK7ly9fcvz4cZycnJg6dWqS/dmzZ2fDhg3pFpwQInNFRkYSHh6OiYkJCxcu\nRKPRcOzYMbZs2cKlS5femNxptVo2bNhA06ZN1SXB8ubNS7du3dR1Xd3d3fHx8eH+/fvY2dlhYWFB\ntWrVgITEcvXq1fz5558YGBjQunVrmjRpki6v68Y9hb5TYdvR5PeXLwrejaBtHbCxlmROCPFpSVNy\nZ2hoSN26dZk2bdo7r80ohPh0WFlZkSVLFqKjo5kyZQqFCxdWl/fKnTv3W8/Pnz8/f/31F2vXriU+\nPp5WrVpRtmxZ3NzcqFmzJsbGxpw/fz7ZaUxGjBjBmDFj1O2lS5cyY8YMfHx83vn16HQKc9bD0HlJ\nlwOzyQZeX0HnRlCqkCR0QohPV5rmudNqteTLl4+oqKiMikcIkQEURWH+/Pm4uLiQJ08eWrduzb17\n9956noHDNppaAAAgAElEQVSBAWPHjgVg4MCBNG/enCdPntCwYUN1ipK3GTZsGLdu3aJo0aKYmpoy\nefJkvZnsk0vsbt26xZgxY9BoNIwbN44ff/xRjeHp06epuu7r/ndToWYf8J3+b2Kn0UDT6rBhPNza\nBFN9NJLYCSE+eWnuc+fr68uUKVPo2rUrtra2GRGTECKdzZkzh759+6rb69at49y5cwQHB2NhYfHG\nc/v160fOnDlZvHixOlr2p59+SrL0UKKoqChCQ0MpUaIEAGXLlmXKlCnq+pSpebR67do1IGH+rcQR\nfP7+/oSEhBAaGkrJkiXf/qL/36s4hckrYPRiePnq3/Li+eB3P6hSUpI5IcTnJc3JXXR0NObm5hQq\nVIgWLVpQoECBJPNVaTQaBg4cmG5BCiHeT+Ik49OmTaNOnTq0bNmSS5cusXnzZry8vN56focOHejQ\noUOqrnXy5El8fX05d+4cGo2GFi1akD179mSPffHiBcuWLeP69evkz5+fjh07YmZmpi4+fubMGRYu\nXEh0dDQhISEYGBik6nFwojOXFbqNg7+u/FtmaAB+nWBoJzAxlsROCPH5SXNyN2TIEPX7lOa1keRO\niI/LgwcPAOjUqRPZs2fHzc2Nq1evquXv48WLF3Tp0oWlS5diZGRE7dq1qVChAhEREeTIkQMjI6Nk\n56d79uwZtWvXJigoSC2bP38+Bw4coECBAvTu3Zu5c+fSvXt3df+PP/741nk0FUXh4BmYvS5hWhOd\n7t99FZwTWuvk0asQ4nOW5uQuJCQkI+IQQmSgsmXLcvLkSVq0aEHFihVZsWIFAGXKlHmn+kJDQ7G2\ntsbS0hJTU1Pu3LnDli1baNWqFRqNhiVLlry1jokTJxIUFISTkxPe3t4sXbqUU6dOMW7cOMaNG8es\nWbNwdnbmzz//RKvV0qZNGzp37pxifc9iFJbvgjnr4fxrb1OmxjC6B/RrI5MNCyE+f2lO7vLmzZsR\ncQghMtD8+fOpXbs2hw4d4tChQwD4+Pjg7u7+TvUNGDAAd3d3evfurdaf1j64Z86cAWDChAl4enpS\nsmRJ2rZtq5ZrtVr69u2r11cwOVdvJ4yAXbIdnjxLuv+ryjDreyjkKEmdEOLLkObkLtGVK1c4cOAA\n4eHheHl5kS9fPl6+fElYWBj29vYYGxunZ5xCiPdQunRpzp49y8qVK3ny5AlVqlShcePGqT5/586d\nXLt2jT59+gDQq1cv9u3bp+53dnZOc0yJyeD69eupUKGCuipFapPESzcVfpwHGw4m3ZfFDDo1hD4t\noXh+SeqEEF+WNCd3Op2Ob7/9loULF6IoChqNBldXVzW5c3FxYfjw4fzwww8ZEa8Q4h05Ojqm2Bc2\nNDSUfv368ddff2FjY8PAgQMpV64cBQoUABLmtOvWrRs9e/bEyMiIWrVqqaNf35Wvry8rV65k/fr1\nrF+/HgATExP69ev3xvPuPVQYtQgW/pl03dfCeaBPK/BuCFYWktQJIb5MaZrnDmDcuHEsWrSIMWPG\ncOzYMb01Ii0sLGjVqpWsUiFEJoiLi2PatGm0bduWHj166A1UeJNHjx5Ro0YNNm7cSEhICCdPnqR1\n69aUKlVKndPSxcWFdevWJTsn3bsqXbo0+/fvp0aNGjg4OFC9enX27duX4trUUdEKI35XKNwW5m/W\nT+waV4UdU+GiP/i01khiJ0QmqFKlyhtXrREfTppb7hYvXkzXrl0ZOnQojx49SrLfxcWFP//8M12C\nE0Kkjk6no1WrVmzZskUt++OPP/jzzz+pX7/+G89dvnw5oaGh5MyZk+XLl7Nv3z4mTZqEmZkZFy9e\npFKlSgC4urqmWEd4eDhXr14ld+7caeqXW6VKFbUPYEpexSnM3wxjFkN4pP6+2uVhYm8o7yzJnPhy\npDTH5H9pNBoWL15Mp06dPkBE/15TfBzSnNzdvn1bfbNPjpmZmaxgIcQHtmPHDrZs2UK2bNmYMGEC\nR44cYdmyZfj4+PC///0v2XPu3LmDoiiEh4cDkCdPHoKDg+natSuTJk3C2Nj4jb/riaZPn87AgQOJ\ni4sDoEePHvz666/v1cp3P0LhwGnYfxp2HofQ+/r7SxWCCb0SBkvIB4r40ixfvlxve968eZw4cYLF\nixfrPU2rWrXqhw5NfCTSnNzZ29tz8+bNFPefOnVKRtQK8YFdvXoVAA8PD7755hs6dOjAsmXLuHr1\nqto39nWLFi0iLCwMNzc3tY579+7h7e0NQKlSpd563V27dtG/f3/1+AsXLrBgwQIKFizI4MGDUx3/\noycJc9PtPw0HTiedyiRRHjsY0wO86oOBgSR14svUvn17ve09e/YQFBSEp6dnqs6Pj49Hp9NhZGSU\nEeGJj0Ca+9y1atWKX3/9lStX/p3yPfGDY8eOHSxdupQ2bdqkX4RCiLdK/INqy5YtrFu3Tl2yy8nJ\nSf39PH78OF27dlXP8fb2JjY2ltatW+Ph4UFUVBRz5szhxIkT2NnZMXPmzLdeN/Ex8MCBAzl79qw6\nsfmmTZtSPOdxlMK+UwqTVyi0H6FQtJ2CTSPw+DH5OeoArC1hUh+4tBI6NdRIYidEKl26dAmtVsvM\nmTOZPn06hQoVwszMTJ1yaPz48VSrVg0bGxvMzMwoU6YMS5cuTbau7du34+7uTtasWcmaNSuVKlVK\ncTGDRHv37sXCwoI2bdoQ//oIKJFh0txyN3LkSA4cOEDZsmWpXr26urC3n58fQUFBlC9fXv1gEUJ8\nGE2aNMHd3Z0DBw7QunVrtbxRo0bq9yVKlGDDhg1MnjyZHDly4OTkxO+//w7A6tWrWblyJWfOnMHW\n1pZOnTphb2//1usmJo6Jj2QT//1vS+GzGIW1gTacvmpByESF63ff/nqMDKFKCXAvB7XKJXxvaiIJ\nnRDvav78+cTGxtKzZ0/Mzc2xsbEBEpYkbNOmDV5eXsTHx7Nx40Z1svD/9tdbsGAB3377LS4uLgwd\nOpRs2bJx9uxZtm/fTseOHZO95rZt2/Dw8KBNmzYsWbJEulB8QBrlvw/oU+nFixdMnTqVtWvXcvny\nZXQ6HQULFqRt27YMHDgQU1PTjIj1rZ48eaJ+b2VlpbcvODgYSFiIXLyZ3KvUy4h7pSgKjx49wsTE\nBEtLy1Sf9/z5c0aNGsXJkyfJli0bPXv2pFu3buzevZsSJUoAcOvWLfLkyZNusQYEBFC3bl0AihQp\nwpUrV1AUhV9++YWuPb5n9nqYsQYinr65HkODhKXB3MslDJKo6gLmpl/mB4H8/qXOm97v/+vFixep\n/kzSaDR6fdbSezujdOnShdWrVxMTE5Nk36VLlyhWrBhWVlZcu3YtyTrPyd0fd3d3IiIi+PvvvwGI\njIwkT548lCtXjoCAgBQf57q6uhIbG8vp06dZv3497du3p0uXLvz222/p9ErF61L6+U7zY1kAU1NT\nhg4dypkzZ4iOjub58+f8888//PTTT2lO7AIDA2nWrBmOjo5otdpkm4NHjhxJ7ty5MTc3p1atWly4\ncOFdwhbio3fx4kVKly6NjY0NWbNmpXXr1qkeoGRmZkZQUBB+fn5s2LCBBg0aMHHiRHT/WVw1PRM7\ngDp16jB37lyMjY25fPkyiqLQ9ZshPDDrT75WMOL3pImdkSGUKwrdvoa5A+DE7/B0Dxydr2Hctxrq\nVtR8sYmdEBmlTZs2SRI7QP3MjouLIzIykkePHuHu7s6FCxd4+fIlkPA49vnz5/j5+aWqn56/vz/t\n2rWjd+/ekthlkjQnd7Vr1yYgICDF/fv376d27dqpru/Zs2e4uLgwc+ZMzM3Nk+yfOHEi06ZNY86c\nOQQHB2Nra0u9evWIjo5Oa+hCfNSioqJo0KAB586dw9TUFI1Gw7p16+jevXuK52zcuJGtW7eq282a\nNdNbOaJDhw64uLhkaNy9evXi/v37bA84R7exz1h5aRyTVmiI+k8jgkOOWPq3uEXQwoRELniRhgVD\nNHzbQkPFYhp55Co+Cq+3sqX3dmZKnJD8dWvXrqV8+fKYmZmRI0cObGxsGD16NIqi8PRpwl9m165d\nA1CfALzJ5cuX6dSpE56enkybNi39XoBIkzT3uTtw4MAbP2zCw8M5eDCZ9YBS0LBhQxo2bAigjtL7\nrxkzZuDn50fz5s2BhLm7bG1t8ff3p0ePHmmMXoiP18GDBwkNDaVo0aKcOnWK27dv4+zszJo1a1iy\nZAlmZmbExsZy48YNihYtCiTMbzd16lS+/vprAPr06ZOuEw2/Lj5e4VY4XL39/1934NptuHrbikuh\nVsS91l+6WD4Y0hEKW/+DoQGUd3bKsNiEECkzMzNLUhYQEEDbtm2pU6cOCxYsIFeuXBgZGbFp0ybm\nzJmj1+qfWo6OjtjY2LB161ZOnz4tkxpnkndeWzYlt2/fJkuWLOlSV0hICGFhYdSrV08tMzU1xc3N\njaNHj0pyJz4rsbGxAOTMmRNzc3Ny5cqFoaEhcXFxvHz5EjMzM1auXImvry/VqlWjbNmy9O/fHxMT\nE7WOjErsDp5RGLUQjpyDV3FvP75sERjaCVrUBK1Ww/93IxNCfETWrVuHlZUVu3bt0psYedu2bXrH\nFSxYEEVR+Oeff3ByevMfaObm5uqo2q+++opDhw5RrFixDIlfpCxVyd3mzZvZvHmzuj1//nz27t2b\n5LjIyEj27t1L5cqV0yW4sLAwNBoNdnZ2euV2dnbcvZuKIXdCfEJcXV0xNzfnyJEjVK1alfv37xMX\nF0fWrFkxNTXl2LFjfPPNN7x8+ZIdO3awY8cOdu3aRWBgYIbFdOaywo/zEiYSTo3qpcCvEzSoIpML\nC/GxMzAwQKPREBcXh7GxMQAPHjxIMr1Jo0aNMDc3Z9y4cdStW1c9NiWWlpbs2rWLmjVrUqdOHQ4f\nPpziY2GRMVKV3F24cIG1a9cCCW/YJ06c4NSpU3rHaDQasmTJgru7+0fxnD04haaClMpFUnKvUi+9\n7tXo0aMZOnQox48nZFN58uTByspKHZ3+8uVL6tSpQ+3atZk9ezanTp1izJgxtGzZMl2un+jWAxPm\nbXdg9+mkHbBzZH2FY84X5MkZi6NNrPqvY45YLM0Tnsu+9vagkp+p1JN79WaFCxfO7BA+eV9//TVz\n586lfv36eHp68vDhQ+bNm0eePHn0lhe1trZm6tSp9OrVi4oVK+Lp6Ym1tTXnzp0jIiICf3//JHXn\nzJmTvXv3UqNGDerUqUNgYCCOjo4f8uV90VKV3Pn5+alz12m1WhYuXJhkhuyMYG9vj6Io3L9/X++H\n4v79+6mag0uIT03NmjWpWrUqVlZW1K1blzJlyvDo0SNy5MjB9OnTgYQBDHnz5iUkJITff/+dO3fu\npNv1Hz4xZOGuXGw6ZkO87t+WN61GoVHFR3RvcA+HHC/T7XpCiPTxppZyjUaT7P6vvvqK33//ncmT\nJ9O/f3+cnJwYMmQIBgYG9O7dW+/Ynj17kitXLiZNmsTYsWMxNDTE2dkZHx+fFOPIlSsXe/fuxc3N\njbp16xIYGKjOrycy1jvNc5dRLC0tmTNnjt7EiQ4ODvj4+DBkyBAgYU4XOzs7pkyZkmRgh8xzlz7k\nXr3dnTt3GD9+PGfOnMHBwYFp06a981+l/v7+XLt2jZ9++gmAI0eOcOrUqSRvmm5ubgQGBuLh4UGr\nVq0YMmQIN2/eZN68efTs2fOdX8uLWIXdJ2HtPthwEJ7H6u9v7paw5FeJAu/+mFV+plJP7lXqZMQ8\nd0J8alL6+X7nARV79+5l//79hIeH88MPP+Ds7MyzZ884ffo0pUqVIlu2bKmqJzo6Wl3/UqfTERoa\nytmzZ8mePTt58uShX79+jB8/nqJFi1K4cGHGjh2LpaVlqtfQEyK93blzhwoVKhAWFqaWHT58mODg\nYHLnzv3W8588ecLhw4dp3LgxAGXLlmXgwIEMHToUAwMDqlWrRrVq1ZKcN3HiRGrXrs26detYt24d\nAOXLl09xdvg3iX35b0K3ORC9aUsS1SwL47+FKiWl75wQQnxK0pzcPX/+nBYtWrBnzx61zNPTE2dn\nZ4yNjfHw8OC7775j+PDhqaovODiYWrVqqU25I0aMYMSIEXh7e7No0SIGDRrEixcv+O6774iMjKRy\n5crs3r073UbkCpFW48ePJywsjMqVK9OyZUuWL1/OuXPnGDduHHPmzAES5re6d+8eBgYG2NraEhcX\np07++erVK7y8vAgNDSVr1qwUK1aMkydPvnWkq6urK8ePH2f69OmEh4dTpkwZ/Pz8kp3iICUHTiss\n3paQ0D1NYarIskVg3LdQv5IMihBCiE9RmpO7H3/8kQMHDrB8+XJq1KihNyza2NiY1q1bs3Xr1lQn\ndzVr1nzrXDrDhw9PdX1C/FdMTAyBgYE8f/6cypUrkytXrveu8/r16wAMGDCAfPnyATB48GC1/Pr1\n63h4eKgLc9eoUYM7d+6wb98+8ubNS86cORk6dCgRERFkzZoVIFUtfgClS5dm8eLFaY75yi2FAbNg\n65Hk9xdwgNa1E77KFpGkTgghPmVpTu7WrFlDnz598PT01BtNk8jZ2ZlVq1alS3BCvI+rV6/SoEED\ndXZ1c3NzVqxYoU6I/a4KFiwIwC+//EKLFi1YsWIFkDAD/KtXr2jSpAkXL15U+0EEBgZib2/Ptm3b\n1E7KgwYNeq8YUuvJM4WxS2Dm2qTz0xVwAI/a0EYSOiGE+KykObl7+PDhGyck1Gg0PH/+/L2CEiI9\ntG/fnmvXrlGgQAHs7Ow4duwY7du358qVK6luKUvOkCFDWLduHSdOnODEiRNAwrD/Ro0acebMGS5e\nvIilpSVt27Zl7NixFCxYkLCwMBo1apReL+2t4uMTHr8Omw/hkfr7vBvCdx4J67tKQieEEJ+fNK8t\n6+TkxMWLF1Pcf/jwYZl/SGS6p0+fEhQUhKGhIWfOnOHIkSPUqFGD58+fc+zYsfeqO3fu3Jw8eZLO\nnTtTtWpVWrduzfDhw/ntt9949eoVADly5KBjx45YWVmpLXiJ+zLaob8UKnaDnhP1E7uqLnDyd1g8\nTEN55+SnRhBCCPHpS3PLnZeXl/o4KrEFL/FD4tdff2Xt2rVMnjw5faMUIo2MjIzUmdfv3LmDk5MT\n4eHhAOkyLcKNGzc4ffo0CxcuBBImVL179y6lS5fG1taWGzdu8O233/Ly5UsePXpE4cKFyZ8//3tf\nNyWKohB4FsYvhV0n9Pc52sKkPtC2jrTUCSHElyDNLXd+fn7UqFEDd3d3atSogUajwcfHBwcHB/r0\n6UOTJk3o169fRsQqPlN37tyhefPm2NnZUaRIEWbNmsX7Tr9oZmZG27ZtAShevDg5cuTg0qVLODk5\nUbNmTSBhubzBgwfTtGlTevfurfbNS86zZ89wd3cnLi6h41q1atUwNzfn8ePHQMI8W+PHj8fCwoJN\nmzZhY2PDxYsXuXbtGk5OTmzYsAFDw3RfyhlFUdh+VMGtN7j30U/szExgRDf430poV1da6oQQ4kuR\n5k8bY2Njtm/fjr+/P2vXrlVbR8qVK0fbtm3p0KGDfIiIVIuKiqJWrVpcuXIFgPDwcHx8fHj16hXf\nf//9e9W9YMECFEVh9erVxMbGUqpUKVatWoWlpSVPnjzB1dWVS5cuqcevXLmS48ePU7RoUfV8Dw8P\nrK2tsbCw4Pnz5+zbt4/69euj1Wo5duxYsktEubq6cuXKFYKCgjAwMKBy5cqYm5u/12t5XXy8wvoD\nCS11Z6/q79NqwbNuwnQmeezkd1EIIb40H9UKFe9LVqhIHx/yXq1YsYIOHTpQtGhRNm3axP79++nd\nuzf29vbcu3cvXa7x7NkzYmNjyZ49u/qHx88//8ywYcNwdnZm+PDhLFy4kICAAJo2bcrmzZsBqFWr\nFkZGRhQvXpzGjRtTpEgRcuXKpbdo9of+uQoNU9h4COZugCu39PcZGYJ3IxjkBYUcP66kTn7/Uk/u\nVerIChVCpPMKFQcOHGDRokVcv36dyMjIJI/QNBoN58+ff7dIxRfl4cOHAFStWhVnZ2dsbW3p3bt3\nstPsvCsLCwssLCz0yhIfwX733Xd4enqSJ08eAgICOHnyJADLli3j4MGDKIrCnj17mDFjBlOmTHnv\n1sREd+/e5e7duxQoUIDs2bOneJyiKPxzHTYdSph4+PSlpMeYm0KPpvCDJzjaflxJnRBCiA8vzcnd\nL7/8wuDBgzE1NaVo0aLY2tpmRFziC1G+fHkgoQXPwsJCbbUoV65chl43cXDDqFGjcHBwYP78+UDC\nQIzo6Gh69eqFoij07NkTS0tLpkyZwsCBA2nXrh0ODg7vfF2dToevry+zZ89WrzdlyhT69u2rHqMo\nCsfPw/oDsPkQXLuTfF1WFvBdK/BpDTbWktQJIYT4f0oa2dnZKTVq1FAeP36c1lMz3OPHj9Wv1wUF\nBSlBQUGZENWn50Pfq4EDByqA+mVjY6OcO3cu3a8THR2tbNu2TVEURXn06JHi5OSkd11LS0vln3/+\nUc6fP68AipOTk3pupUqVFEDZt2+fXp1pvVdTpkxRAEWr1SrFihVTr71r1y7l1SudsnqvTqnQRado\nqib/ZeymUxr01ym/bdQpT57p0ufGfADy+5d6cq9S503v9//1/PnzDxTRh7dkyRJFo9EoGo1GOXz4\ncLLHFCxYUNFoNEqtWrU+cHTiv2JiYpSRI0cqBw8eTNd6U/r5fqe1Zb28vN7Yx0GItJg0aRJ169bl\n+PHjWFlZ0bZtW+zt7VN1bnx8PEuWLOGvv/7CxsaGbt266U1QrCiK2s9Op9Ph5eXFxYsXsbe3Jzg4\nmP79+xMeHo6joyODBg3C2dmZR48eodFoCA0Nxd/fH0tLS/7++2+A916+bMOGDQAsWbKEjh07MnDg\nQH6ZOocxCx7RawGE3E16joUZNHKF5jWhYRWwspBWOiHEv8zMzPD396datWp65SdOnOD69etpWn9a\nZIyYmBhGjRqFRqPBzc0tw6+X5uSudu3anD17NiNiEV+w+vXrU79+/TSdEx8fT4sWLdi6dataNmvW\nLA4fPqyOeK1bty6zZs2iePHiWFhY8NNPP/Ho0SPs7e2xsbFh+fLlSerNkSMHPj4+zJgxAy8vL7W8\nbdu2ar3vSvn//qlarZYHkQrHbteH8oM4cjen3nGmxtCuHni4Q50KYGIsCZ0QInmNGjVi7dq1zJw5\nEwMDA7Xc39+fYsWK6ZV9imJiYtJ9xoEPTfnAY1fTPM/d7NmzOXjwIBMmTFAnhRUiI12/fp2RI0fS\nv39/1qxZo/6SrFq1iq1bt5I9e3Z+/vlnqlevzsOHD+nWrZt6bvXq1Vm6dKm6/f3331OiRIm3XnPq\n1KlMnjyZ8uXLU6ZMGYYNG8bSpUtTPc1P7EuFgGCF37coTF6hMPQ3hV6TFaJzL4TiO+k4qQj2jZ9z\nNLQuGqN/E7vsWWFYZ7ixARYN1dCoqkYSOyFEijQaDZ6enkRERLBr1y61XKfTsXr1atq3b59sYjFr\n1ixKlSqFmZkZdnZ2dO/ePclAtq1bt9K0aVPy5MmDqakp+fLlY9CgQcTGxuodFx4eTvfu3XFycsLU\n1BR7e3saNWqkt5qVVqtl9OjRSeLIly8fXbt2Vbf/+OMPtFot+/fvx8fHB3t7eywtLdX9T58+5fvv\nvydv3ryYmJhQsGBBxo4di06nU4+5efMmWq2WSZMm8euvv1KwYEGyZMlCvXr1uHUrYZqBcePG4eTk\nhLm5Oc2aNSMiIiJJbLt378bd3R1LS0ssLS1p2LBhksatzp07Y2Zmxt27d2nevDmWlpbY2toycOBA\n9b7fvHkTW1tbNBoNI0eORKvVotVq1dcdHR3NgAEDKFCgAKamptja2lKrVi0OHz6cJKbUSnPLXe7c\nuenatSuDBw/mxx9/xMjICK1WP0fUaDRER0e/c1BCJAoKCqJu3bo8ffoUgOnTp7N3717mzZunjsj+\n9ttvGTp0KK1atcLZ2ZnTp0+r5w8aNEhv6pLU0mq1DBgwgAEDBqT6nIinCtuPwZZA2HkcniW7xHJR\nNNkSWv/++3abLxf0bwtdm0AWM0nmhPjYvXjxAp1O91G0KDk6OlK9enX8/f3VNaz37NnDgwcPaN++\nPatWrdI7/ttvv2Xx4sV07tyZvn37cuvWLWbOnElQUBBBQUHqe+bixYsxNTXF19cXKysrjh8/zrRp\n07h9+zb+/v5qfa1ateL8+fP07duXfPny8eDBAw4ePMjly5ffuBY9pLxqTt++fcmePTvDhg1Tp715\n8eIF7u7uhIaG0qtXL/LmzcvJkycZOXIkoaGh6sC4RCtXruTly5f07duXyMhIJk6ciIeHBw0aNGDv\n3r0MHjyYa9euMWPGDL7//nuWLFminuvv70/Hjh2pX78+EyZMIDY2lvnz5+Pm5kZQUBBFihRR41cU\nhQYNGlC5cmWmTJnC3r17mTp1KoUKFeKbb77BxsaG3377jW+//ZaWLVvSsmVLAAoWLKj+f6xbt47v\nvvuO4sWLExkZyYkTJzh79izVq1d/4/1LUVo77w0dOlTRarVKnjx5lBYtWiidO3dO9iszyICK9PEx\n3auyZcsqgFK/fn3lp59+UszMzBRACQgIUGbMmKEAipWVlXLixAnF19dXARQ7OztFp/swgw027jir\n9J90U3Hvo1MMa6Q8ECKlr9IdXyor9+iUV68+ncER7+Jj+pn62Mm9Sp3MGlDx+PFjxcPDQ9FoNAqg\nuLm5KaGhoel6jdRasmSJotVqlRMnTijz5s1TLCwslJiYGEVRFKVjx46Kq6uroiiKUrJkSXVAxZEj\nRxSNRqMsX75cr67E8gULFqhlyd27cePGKQYGBsrt27cVRUm4HxqNRpkyZcobY9VoNMqoUaOSlOfL\nl0/p0qWL3mvSaDSKq6urEh8fr3fszz//rGTJkkW5fPlyknKtVquW37hxQ9FoNIqNjY3y9OlT9bih\nQ4cqGo1GcXFxUeLi4tTy9u3bKyYmJsqLFy8URUkYfJc9e3ale/fuetd5/PixYmtrq3h5eallnTt3\nVot8Rr0AACAASURBVLRarTJ27Fi9Y8uVK6dUrFhR3X748GGK98Da2lrp27dvkvLUSLcBFfPnz6dJ\nkyZs3LgxSYudEOnt3LlzAKxZswYrKyvu3r3LwoULOXv2LJ07d2batGncuHGDypUrq+fMmzcvQ1dJ\neRWnsOEAzFoHR8+5pHhcAQeoURqyW4G15b9f2bMm/GtrDflyGcqKLkJ8Qry8vNi2bRuQ0Gpz6NAh\nGjduzKlTpzAyMsq0uFq3bk3fvn3ZtGkTLVq0YPPmzYwfPz7JcWvWrMHS0pL69evrPYYtUqQIdnZ2\n7N+/n+7duwP/rsOtKApRUVG8evWKatWqodPpOH36NLlz58bMzAxjY2MOHDjA/7V352FVVfsfx9/7\nMINACAoyKRA4oQiaGAiIE2mDVmhiTpEDZWrmtdHxOqCVWXlz6urFIYesa2YOgYQiav4ccQ5KUVFx\nwBkBgbN/f3A9dWROFITv63nOU6y9zt7rrHsufVh7r7Vee+01bGxsKuXzDBkypEjGWLNmDe3bt6du\n3bp6be/UqRPjxo1j69ateHp66srDw8P1bune++9E//799Z5D9Pf3Z9WqVZw9e5Ynn3yS2NhYrl+/\nTkREhN51VFUlKCiIhISEIu2912f3BAUFFftMd3Gsra3ZvXs358+ff6Cltv6qwuEuLy+P7t27S7Cr\nhe7evcvGjRtJT0+nadOmdOzY8aEHE3t7e86dO8e8efMIDQ0lPj4eKNwX1sbGhh07dhAVFUVKSgr2\n9va8++67PPvssw+lLZevqSz8Eeb9F85fKXpcUcC/GbwQBC+0h6aNSr7lIIR4/Fy6dIkNGzZgZGTE\nsWPHsLGxwdvbm8OHD7Nnzx4CAgKqrG02NjaEhYXxzTffYGBgQHZ2tm5/7b9KTU3l1q1b2NvbFzmm\nKIres/RHjx5l7NixbNu2jezsbL16926VGhsbM3PmTMaOHYu9vT3+/v50796d/v374+zs/Lc+i6Io\nuLu7FylPSUnh0KFD1KtXr8y2A7i4uOj9fG+Vj/vbda/82rVrQGEfqapK586di73O/RNUjIyMivSn\njY2N7nxl+eSTTxg0aBCurq74+vryzDPP0L9/f92t37+jwuHuueeeY9u2bQwbNuxvX1Q8fm7dukVY\nWBi7du3SlfXr10/38GtZli9fzowZM7h8+TKtWrXiX//6l95fWCWZMGECw4YN44MPPtCVOTs76/66\ncXR05Mcff/wbn6j8DqSozFkDK7dA7l39Y4YGWto1ucmA557guUBwsJUwJ0RNdefOHQAsLCxwdXXF\nyMiI+vXrk5GRoTtWlfr27cuAAQO4ceMGnTt3xtbWtkgdrVaLnZ0dq1evLnaixb2Rt5s3b+omE0RH\nR+Ph4YGZmRnnzp1j4MCBehMYRo0aRc+ePVm3bh1xcXFMnTqV6dOns2HDhjKX/SgoKCi2vLjlW7Ra\nLR07duTDDz8stu33B8KSZgmXVH7vnFqtFkVRWLJkSblG0h50sCs8PJzg4GDWrVtHbGwsc+bM4eOP\nP2bJkiX06dPnb52zwuFu3LhxREREMHToUF5//XVcXV2L7SjZuaJmGT9+PLt27aJBgwY888wzfPvt\ntyxfvpzQ0FC9mU7Fufdg6j2xsbEEBweTnJxc4vckPz8fQ0NDhg4dSnJyMkuXLsXR0ZGnn36aTz/9\nFDs7u2LfVxnu5KjsPAwJ+2HLHthzvGgdB1uI6gltGx3Gzipf9gEVohZwcXHB3d2dkydP8tRTT2Fl\nZcWhQ4ewsrJ66LvqlEePHj0wMTFh586dLFmypNg6Hh4ebNmyBX9//1IngyQkJHD16lXWrl2r91D/\nli1biq3fsGFDRo4cyciRIzl//jw+Pj5MmzZNF+5sbGy4fv263nvy8vIqtIe4h4cHt27dIjQ0tNzv\n+Ts8PDxQVRU7Ozs6duxYKecs6y5O/fr1GTJkCEOGDOHmzZv4+/szceLEvx3uKhw3mzVrRnJyMv/+\n978JCAjA2dmZBg0aFHmJmmXHjh1A4eK7ixcvZuLEiQDs3LmzzPd+/PHHAEycOJHff/+dp556ioyM\nDJYtW1Zs/SNHjtCuXTvdX1FffPEFy5Yt48SJE8TExFR6sMu9q7LtgMqkRSohb6rUfQa6vg3RS4sG\nu7bNYNkESPseJkQq2FnlV2pbhBDVl4GBAWvWrMHe3p5Dhw6RlJSEhYUFq1atKnWP6EfFzMyM+fPn\nM3HiRF588cVi67zyyisUFBQUuyyJVqvVBTADAwNUVdUboVNVlVmzZukFlezsbHJycvTO4+joSP36\n9fXCnIeHB4mJiXr1FixYUOLIXUlt37NnD5s2bSpy7Pbt29y9e7eYd1VcWFgYTzzxBNOnTycvL6/I\n8Xt7olfEvSB9/61arVarWw3iHisrK9zc3IqE4Yqo8MjdhAkT5DmiWsjKygqApKQkgoKC2L17t155\nae49kNq7d288PDzo1KkTe/bs0ZWrqkp8fDwdOnTA0NCQ5s2bk5+fz6FDh/Dx8cHQ0JCePXtW6ufJ\nvVu4bMmKWNiwE3JK+Z1gaAC9O8KIXuDfXL77QtRmfn5+HD9+nISEBPLz82nfvn2lPQT/d9x/e/Kv\nC68XJygoiOHDh/PJJ5+QnJxMWFgYJiYmpKam8v333zNlyhQGDBhAYGAgtra2DBgwgBEjRmBkZMR3\n331XZJmzlJQUOnbsSK9evWjevDkmJiZs2LCBEydOMGvWLF29wYMHExUVRXh4OF26dCE5OZnY2Nhi\nn58r7pYrwNixY1m/fj09e/ZkwIABtG7dmuzsbA4fPsz333/P4cOHcXV1LW/XlXhNS0tL5s+fT79+\n/fD19SUiIgJ7e3vOnDnD5s2b8fb2ZvHixRU6v6mpKc2bN2fVqlV4enpia2uLm5sbjRs3xsnJiZdf\nfhkfHx+srKxISkri559/1ttzvKIqHO4mTZr0ty8mHl/Dhw/nl19+YcqUKUyZMgUo/LKWdUsWCn8Z\npqen07dvXzp37syCBQt05YBuYccRI0bwyiuvoCgKu3fvxsTEpFI/g1arkngQvomF77fC9Vsl123a\nCDr4Qej/XrbWEuqEEIVsbGx0a5VVtfIOtvy13pw5c2jdujXz589n3LhxGBoa4urqSp8+fXS3IW1s\nbNi4cSNjxoxh0qRJ1KlTh/DwcKKiomjZsqXuXC4uLvTr14/4+HhWrlyJoih4eXmxePFiBg4cqKs3\nZMgQ0tLSWLRoET///DPBwcHExcXRqVOnIp+hpM9kamrKtm3biI6O1j0aZGlpiaenJxMmTNDbtlJR\nlGLPU9K57y/v3bs3Tk5OTJ8+nc8++4ycnBwcHR0JDAwsMuegvOdcvHgxI0eO5B//+Ae5ubkMHDiQ\nhQsX8tZbbxEXF8f69evJy8vDzc2NWbNmMXLkyGLPWx6KWlJEfgzdm70DFNn7du/evQDybFQ5lNRX\nMTExjBs3jvPnz9O4cWPmzZtHhw4dyjzf6dOnCQ4O5syZM7qykJAQoqKidM8TxMXFcenSpTL/6vw7\njqepxGyEVVvg7MXi6zzpDKGtC4NcB9/yT4yQ71X5SD+Vn/RV+ZT2+/6vcnJydEt6CFHTlPT9rvDI\nnai9Bg0axKBBg9BqtRWaHdSwYUMOHDjA8uXLyczMpFWrVjzxxBNERUXRu3dvNBoNXbp0qfT2ns5Q\nmfg1LPsZivsTplED6NsVXu0KTRvJyJwQQoiaQcKdqLC/M+07KyuL+fPnc/DgQYyNjVFV9aEtNnz1\npsr0pfDV90WXLrG1hl4dCwNdQAtZh04IIUTNI+FOPDSXLl3CysoKU1NTXFxcaNiwIfHx8XTr1g1F\nUcp1S7cisnNV5nwHM5YVfZ6u+9MQ9SJ0bQvGRhLohBBC1FzVfpuJyZMno9Fo9F5VOTNJlN/w4cP5\n+uuvdT+vW7eObt26Vfp18vJVYjaoNO4D78/VD3Ztm0HCv+CnTxWeC1Qk2AkhhKjxHouRuyZNmrBt\n2zbdVOWSVpcWVevKlSscO3ZMt2jlhx9+yNy5c3XHjY2NK/V6yakqSzYVLmdy6b5dXjxdYNoweLmD\n3HoVQghRuzwW4c7Q0LDYtXBE9XL58mV69erFyZMnsbCwwNfXV2/krjJcuqayIhaWboKDqUWP17eB\nCZEw5AUwMpRQJ4QQovap9rdlAU6ePImTkxPu7u5ERERw6tSpqm6SoHDRx8jISN0q2k2bNmX06NFc\nvXq1Uq+Tl6/yQ6JKz/dUnHvAO18WDXaOdjDpdUhdDW++pEiwE0IIUWtV+5G7du3aERMTQ5MmTbh0\n6RJTpkwhICCAY8eO6TY4Fo+OqqrcvXsXExMTFEUhPz+fefPm8cEHHwDw/vvvV9q1fk9XWbQelmyC\njMyix02N4cUQGNANOrcBAwMJdEKIolRVlcczRI1T2jLFj90ixnfu3MHNzY0PPviAt99+W+/YXxe1\nTE0t5p6deGAxMTFkZWUxfPhwADIyMlAUBXt7e6Bwfz8jI6O/vbtEbp7C1kNP8MMuO/alFr+1mY/b\nbZ5tm0ln36vUMdMWW0cIUbN5enrq/r20RYy1Wi25ubmYmppKwBM1RkFBgW6gpbjlyar9yN39zM3N\nad68uYS3R+TatWvs3btXt8hwp06dGDNmDG+88QYajUa33cvp06cZN24cJ06cQFEUunbtykcffYSZ\nmVm5rpN505AlWxzYuMeWm3eKfi3trO7ynH8mz7XNxLV+buV9QCFEjabRaDAxMSE3V35viJpDUZRS\n/2B57EbucnJycHd3580332TcuHF6x2T7scqxZ88eFEWhTZs2XL58GS8vL37//XdsbW2Bwr8Y/jpj\n+fbt27Ro0YK0tDQMDQ3Jz88HCjewXr58eZnX+z5B5Y1P4cp1/XKNpnB9usHPF/7TsBo+Ryffq/KR\nfio/6avyKe/2Y0LURtV+QsXYsWNJTEwkLS2N3bt3Ex4ezp07d/Q2JBYVo6oqt2/fLvZ+vaqqDB06\nlHPnzgFQr149PvnkE+7cuaOrc/9SNFu3biUtLQ0vLy+uXbvGkSNHAFixYgU5OTkltuP6LZUB/1Tp\nNU4/2DVqAP8cAqf/Cz9+rPBCkFItg50QQghRHVX7cJeenk7fvn1p0qQJ4eHhmJmZ8euvv+Li4lLV\nTXssrVixAnt7eywtLbG3t2fFihVcu3aNCxcuAIVDvd7e3qxfv173nsGDB5fa3/cCnIODA3Xq1MHV\n1RVDQ0Pd5IvixP2fSov+sPznP8uc6sHaGfD7tzBukIJTPQl0QgghREVV+2fuVq5cWdVNqDHi4uJ4\n9dVXgcIQd/nyZV599VUiIyPRarX85z//AQrDXEUmRPj7+2NqakpiYiIhISFcuHCB/Px8/Pz8sLLS\nnxSRla3y7lyY91/9c/QLgy/eBhsrCXRCCCHEg6j24U5UnkWLFgEwdOhQGjduTHp6OrNnz+batWto\nNBq0Wi0ajQYLC4sKndfFxYVly5bRv39/EhMTAXBzcysSzBMPqgyOht/T/yyzewLmj4WXOkioE0II\nISqDhLta4u7du7rn5nx9fRk/fjyjR48GID8/nx9//PGBzh8eHo6/vz+7d+/GzMyMkJAQ6tSpg6qq\nbN0P05bAL/v039MjCOa/C/Z1JdgJIYQQlUXCXS0RFBREu3btgMJJKq1atWL69OkAhISEVMo1XFxc\ndM/mqarKpl0q05bAzsP69aws4PNRMLC77PsqhBBCVLZqP6FC/D379u1j374/h8ruTUYJDw/n9u3b\nJCUlkZWVRa9evRg1alSlXVerVVm7TeWp1+HZf+gHOwMD6P8MHFoKg55VJNgJIYQQD4GM3NVAqqqS\nkJDATz/9xC+//IJGo2H06NG6JUy2b9/OyZMncXd3Jygo6IFCVk6uyuGTsP832J8CiQfgtzP6dYwM\nYdCz8N6r4O4kgU4IIYR4mCTc1RCpqamMGTOGefPm0atXL3bt2gWAj48Pa9eu5cknn9TVDQ4OJjg4\nuNjz/Pjjj8TExKDRaBg+fDihoaF6x89fVvnvtsIgd+A3OHoK8guKb5OpMQx+Acb2BRd7CXVCCCHE\noyDhrhq7ffs2ubm51K1bt8jo2uHDh9m0aRMBAQEEBATg7u7O0aNHeeaZZzhy5Ajm5uYYGhpy5MgR\nnn32WQ4fPoyxsXGp15s2bZrerh/ff/89X3/9NYMHD6agQOWr/8JHCyAru/R2W5jBGy/CO33AwVZC\nnRBCCPEoyTN31dCtW7fo3bs3lpaW2NnZ0apVK06cOAEU3nIdM2YMLVu25L333iMoKIgePXqQl5fH\nihUrOHLkCHXq1CEtLY309HQcHR1JSUnhwIEDpV4zPT2d8ePHoygKkZGR9OnTB4ARI0aw58gd2kfB\n258XH+w8XeCVTjDjTYj7As6tg4+HKxLshBBCiCogI3fV0JAhQ1izZg2KomBsbMyhQ4cICwtj4sSJ\nHD58mM8//xwjIyO8vb05fvw4P/30E1OmTGHQoEEAGBsbY2FhgbGxMaampkDhfrClSUlJQVVV/P39\neeONNwDYsXMvZ9X+BL5pqnfrtVkjeP158GsMrTzBuo6EOCGEEKK6kJG7aiY7O5vVq1cDcPToUY4c\nOYKXlxdnzpzhzJkzLF++HIAJEyawf/9+Xd34+Hjc3d1p3LgxV69epVmzZjRr1oyTJ0/i4OCAj49P\nqdd1dnYG4MCBA8TGxjInZj9n665DcRlPfkFheDMyhEmvw/4YGN1HIcRXkWAnhBBCVDMS7qqZe3ux\nGhoacvnyZbp27YqdnR0AzZs3161Jd+rUKVRV5eTJkwCYmppiYGDA2rVrcXNz4/Tp06SmpmJvb8+6\ndeuK3XXibp5K+iWVfSdU/sj0JLDnQu7We5uP/uPMsgNDUMyb6uoGtIADMTAhUsHYSAKdEEIIUV3J\nbdmHKCsri9jYWG7cuEHbtm1p1qxZqfVVVWXOnDn4+fmxf/9+XnvtNa5fv86pU6cwNzcnICAAV1dX\nfvjhBxYvXszq1avJysoC0N2Sbdq0KceOHWPv3r0UFBTQunVr6tSpA0DmDZUNO2FdIiQmQ+aN+1sw\nGKWhfkkdM4h+o3CChEYjoU4IIYSo7iTcPSRnzpyhc+fOpKamAqDRaPj8888ZMWJEkbr39nRVFIWd\nO3cSHh7OjRs3+OOPPwAwNzdnxYoVODk54eTkxLfffsvQoUPJzMzEzMyMSZMmMXDgQN35TE1Nad++\nfWE7MlQWb1J1ga6MR+/0PBsAc/8hy5gIIYQQjxMJdw8oOzub33//HWtra1xdXXXlr7/+OqmpqTz5\n5JM0a9aMH3/8kVGjRhEUFESrVq1QVZX169cze/ZsbGxsWLR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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1450,7 +1378,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As we would expect, the filter has problems. Think back to the g-h filter, where we incorporated acceleration into the system. The g-h filter always lagged the input because there were not enough terms to allow the filter to adjust quickly enough to the changes in velocity. The same thing is happening here, just one order lower. On every `predict()` step the Kalman filter assumes that there is no change in position - if the current position is 4.3 it will predict that the position at the next time period is 4.3. Of course, the actual position is closer to 5.3. The measurement, with noise, might be 5.4, so the filter chooses an estimate part way between 4.3 and 5.4, causing it to lag the actual value of 5.3 by a significant amount. This same thing happens in the next step, the next one, and so on. The filter never catches up.\n", + "As we would expect, the filter has problems. Think back to the g-h filter, where we incorporated acceleration into the system. The g-h filter always lagged the input because there were not enough terms to allow the filter to adjust quickly enough to the changes in velocity. On every `predict()` step the Kalman filter assumes that there is no change in position - if the current position is 4.3 it will predict that the position at the next time period is 4.3. Of course, the actual position is closer to 5.3. The measurement, with noise, might be 5.4, so the filter chooses an estimate part way between 4.3 and 5.4, causing it to lag the actual value of 5.3 by a significant amount. This same thing happens in the next step, the next one, and so on. The filter never catches up.\n", "\n", "This raises a very important point. The assumption of 'constant' is an assumption of constant-ness between discrete samples only. The filter's output can still change over time.\n", "\n", @@ -1459,7 +1387,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 25, "metadata": { "collapsed": false }, @@ -1468,7 +1396,7 @@ "data": { "image/png": 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Hyf0QcKsmbqTn9GUbScpMxO74r1FeUwI7KyfdeGp7pTPsrVv+tVLYmNVD2qCq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\nLrx7W7kdOnQK7dt7w8+vH0pKfFFSUgo3N7fbOhYRERER0a2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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1488,19 +1416,14 @@ "source": [ "We can see that the filter diverges almost immediately. After a few seconds the residual exceeds the bounds of three standard deviations. It is important to understand that the covariance matrix $\\mathbf P$ is only reporting the *theoretical* performance of the filter *assuming* all of the inputs are correct. In other words, this Kalman filter is diverging, but $\\mathbf P$ implies that the Kalman filter's estimates are getting better and better with time because the variance is getting smaller. The filter has no way to know that you are lying to it about the system. This is sometimes referred to a *smug* filter - it is overconfident in its performance.\n", "\n", - "In this system the divergence is immediate and striking. In many systems it will only be gradual, and/or slight. It is important to look at charts like these for your systems to ensure that the performance of the filter is within the bounds of its theoretical performance." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "In this system the divergence is immediate and striking. In many systems it will only be gradual, and/or slight. It is important to look at charts like these for your systems to ensure that the performance of the filter is within the bounds of its theoretical performance.\n", + "\n", "Now let's try a second order system. This might strike you as a good thing to do. After all, we know there is a bit of noise in the movement of the simulated object, which implies there is some acceleration. Why not model the acceleration with a second order model? If there is no acceleration, the acceleration should just be estimated to be 0, right?. But is that what happens? Think about it before going on." ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 26, "metadata": { "collapsed": false }, @@ -1509,7 +1432,7 @@ "data": { "image/png": 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f3x9VVWnVqhXnzp3jwoULlCpVKt0xc+bMoVq1alStWhUTExMmTZrEvXv39Ps1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\nqFm/oDkfwo79P9Gm5V9RVZWVK1fKeolCCCFEGZP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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1528,23 +1451,24 @@ "source": [ "Did this perform as you expected?\n", "\n", - "We can see that second order filter performs poorly compared to the first order filter. Why? This filter models acceleration, and so the large changes in the measurement gets interpreted as acceleration instead of noise. Thus the filter close tracks the noise. Not only that, but it *overshoots* the noise in places if the noise is consistently above or below the track because the filter incorrectly assumes an acceleration that does not exist, and so it's prediction goes further and further away from the track on each measurement. This is not a good state of affairs.\n", + "We can see that second order filter performs poorly compared to the first order filter. Why? This filter models acceleration, and so the large changes in the measurement gets interpreted as acceleration instead of noise. Thus the filter closely tracks the noise. Not only that, but it *overshoots* the noise in places if the noise is consistently above or below the track because the filter incorrectly assumes an acceleration that does not exist, and so it's prediction goes further and further away from the track on each measurement. This is not a good state of affairs.\n", "\n", "Still, the track doesn't look *horrible*. Let's see the story that the residuals tell. I will add a wrinkle here. The residuals for the second order system do not look terrible in that they do not diverge or exceed three standard deviations. However, it is very telling to look at the residuals for the first order vs the second order filter, so I have plotted both on the same graph." ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 27, "metadata": { - "collapsed": false + "collapsed": false, + "scrolled": true }, "outputs": [ { "data": { "image/png": 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tGDVqFCIjI2FrawtA0h+BMYYJEyZgxIgR+Prrr6Gk1LVvq7t26QkhpJuqqmaI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\nBxtfi+czCjVnzU7x8RNTAEdr+iImHUcq5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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1574,7 +1498,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 28, "metadata": { "collapsed": false }, @@ -1583,7 +1507,7 @@ "data": { "image/png": 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+/Pgxfv75Z3Tv3h2GhoYwNjZG3759cfr06To5vjIoKKimyAdXhJ/vxIfXY0sI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\noprVW3drWtR7Ojtyx5wpA9b8Px+CILBkxkTKauuorG9CoVS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54Iet3DxlQp8a4j1RqlR8\nvWu/TorHTZPj+50bOhCUSrVxO9ionCEUCrj7XzE6BaWPLyngkVuKhuwz3Bzs8HR2pKy2HrlCQUpe\nkaaew8pCQaBF7ymJc+LrqPxlF1X1pjz9QRjf7FTP8/8ezOp1n6uBrJJyHUlbu14iWVsPu+hst3Ua\n8eN+d0qqzXV6SfyR8jprnv58HL8cdGPVYxk8cdvF7xcwNsSC346YUd8so0squ6pSiIqraymtUUdY\njMViJoQFs/+MA0teGKspEhWLDV/Pm5LcaWzVF6948rYCrNA3CoKWTKe9S4yLvRQXewku9lKc7aJ5\n7k9RpOSfZuvhU6hQK6N99ON2Hr55Xq+iAlciUpmc73uIdUwID8bfw9XgWIUCvt/jzu/HnLl1eiXz\nE2oRBIFIf2+NEZeaXzwsRsHO4ylUdqcpmRgZsXTWJD2ZaqUS3t/kx/OfhCKRirnznzGc+XI/1pb6\nv/vVQr+Ngueeew53d3eOHj2KTCbjhx9+0Hl/3rx5bNiwYcgn+Ee+/fZbnnjiCT755BMSExP573//\ny/z588nMzMTTUz8c2NrayuzZs5k2bRonT54kMzOTu+++GysrK5588slhn+8fsbYwx8zEmC6p+sbb\n0tGJraXFgI/zybNprHosgz2nnPjtkAtbD7lQUm3BgoQag+MfXRXOjmPOOsVqa7d6GjQKQnzaCfFp\nJ7O4jM9+3olCqcTYSEywpwfhfl6E+3lhb60+jrGRisiAViID+ucdt7GUk7p+Px1dElLyijiZU6Ap\n0i2u1h1rbmJCbLAfj91ii7+HW7905T2d4dNnbdifcoDv9/6H0uowCiviqGr4lW1H3JkbH6s5jou9\nlMoe6RAuDrlMH/MJbzwUiZlp/7q9ujvaY2VuTFuHMwAZhTY89UEYHz+Tfp49rz3OyfWdY1LUaE2x\n5owxkXg6O7Jm2x7aO7tQKlV8v/cwJdW1LJmR2KuEHai9gD/uP8KJLG1Drjlx0UwfE3HBc80qtqSh\nxYSJkfpeobNF1oy7dxIR/q3EBLUQG9xMbHALUQEtBj2Hf0QuFyipNsfFXqI3vqNLTE6pdsH58OJC\nVj12dsgVgcaFBlBWq06nO5GdP+AibzdHCV/94zT3XFdCcqrDVe8965k6FO7nhUoFlXWmeDjrpkw9\ndHMR4X6tbD2svicXVKh/y/m93JdT86xZ+d4NHM7wplOqdqS89HkIt0yvxNOla5j+GsMIgkBsoB+7\nTqojEqdz1SpEFbWmPPZuBB89k6andHSlcCBFGyWIDfLni19DefqDMJ3mbqbGhh05PR1vPTE0XqVS\nR8+7pGKqG3RTg175Sw5zx8diZ2XJ1zvVevilNXV8suV3Hrxx3qBU8y4ndhw/Q0OLug7SwsyUGxLj\neh374NuR/O9nteG5dqsXq/+Wwl0LyogK8NEYBWkFxSyeOmFIRTzKa+vZcULbnPT6xHE42eoWnZfV\nmHHPa9HsPuGsea2izowjGfZXRe1Ab/TbKEhOTuaVV17B1taW+nr93Gxvb28qKoZfJefdd9/l3nvv\n5d577wXg/fffZ/v27Xz88ce89tpreuO/+uorOjs7Wbt2LSYmJowePZrMzExWrVp1SYwCQRBwtbfT\neMSrG5ouyCgAsDBTauoJVCrIK7M0mNcrkwus3+5JS7uu9z6n1JKGFmMcbPRrBVraO/nq930olMru\nYyjIKCpVe2L3qHME1a3gvfB1c+5XEySpTE56YQkns/M5W1yGQqF/UxWLRIz29SQuNJAIP68LCl8L\ngsDUmHC8XJxYszUJb7cUALYdraKoqpY7507F0twMH7dO/n5XNv9c48uEyHWE+e1iYmQg3q79MwjO\nfdaECCX5ZV+w5+RDAHy6xZdZ4+pYPL1qwHPvD1sPuWBlISchonFYvNXDgUql4rs9hzQ5vQ7WViz6\nw8Mi2MuDZ25fxOrfdlPS7dU7lplHRX0jf1k4Ewcbw7KlO46fYd8Zrfb4xIgQFiaMNTj2fJRUmfHK\nmmDWbvUiyLOdtPX79FI5zuTaIJWJOZVtx6lsbQ3J1Nh69nyon0KzeY8be087kl9uSX65BYUVFsgV\nIrb8+zg3TNa1hK0tFYR4t3Eiy477FxXz/pMZwyIROibYn58OHEOFuhamua39guo4Zo6rZ+Y4w7U6\nTa1G7DrhzOJplVe0zKlSpeJsjwhUuK83j/8nnO92e5D0wWHC/LRCEOamSuZNqGXehFreeyKD3FJL\nth52YXacvugCwNc7RpF0Wrd51rI55ViaXRpPZEyQ1ihILyihvllg4dPjScmz5XC6PfMTapgY2cjE\nyAZCvNuviN+1taOTU7kFmu3TObfz7katw8DZTsLbj57F3NTwd/7F31LolIiQSEVIZGIkMvW/zUz0\nn19tHWKDRoSJsUIjFhAfFoxCqWTj7oOoVLB26yKyS/J57zEvzEyHX35zOKluaGL3SW2O/qLEuD7r\nJu6aX6YxClQqgXtfj0YQVCyfo8TcxIROqZTG1nbKauvxcun/c7kvFAolX+88oIn8+bu76vWEUShg\n1mMTyOnhRI0Jamb9S6cNCr9cTQxoxWXaR4iruroaM7PhLZqRyWScPHmSZ555Ruf1OXPmcOjQIYP7\nHDlyhMmTJ2NiorXC586dy0svvURxcTE+Phc/POrqYKsxCmoam4ckNCYIEORluCHGwVQHjUEgFitZ\nMKGGuxaUcV1itcEiOKVKxVc792mUE0QiQXMBnaOivpGK+kZ2nkjB0syU0T6ehPt5EerjqZMjqVAo\nySop52R2PqkFxQYbOglAoKc7Y0P8iQ70G7IcS38PV55ddiNfbttDbnfn0MziMt7csIV7F8zEx82Z\nMaG/smxeJhZmzZiZGHP9xHED/pwgT3fC/HdSWh1NXlkiAPe9EcW40c34uA28W2FuqSUr3ozko6fT\nkCky2X0qjagAH6bFhCMIAn/9KJSMQhtsrWTMHV/L/IQa5k2oGRI1kuHidG6hTo7p0lmTDOpPO9hY\n8fitC/luzyGOnlXLPJXV1PPWhp+4e/50PS33A6mZ/HZY2zE4JtCXJf1sOtOT2kYT/m99IB//6IOk\n+6GeXWLFuu2e3HudbtpHQblhIz4myLBwwG+HXfjyN2+91/N7OU5sSDP+ozp4+d6cYVt02VlZEuTp\nTk5ZJSrgk592MC40gKgA3yGTbX3hs1A++sGXOeNr+PCpdAI9h1Yp7WJRUl2rKRS1MjPj7W+m8dEP\nakWUmY9N4PBnBw12JRUEuhsV9Z4KtPWQNt0oMqCFT55NJSHi/LVmw4WXi6NGnapLKuObnZBWoD4f\nKuvNWP2rN6t/9cbEWEHzjt8xNbAwvtw4kpGjcUD5uDpz85RG1m6V0tBiQtzoJr5/7QRerr1HZQYi\nCW5tqaBr72/UNplS02hCTaMp1Q0mtHcZ6VzLEyNCUSiU/Oe7FtLyFpKWBz/vr+TFe6q4Z2HlFSlp\nqVKp2LTnkMaR6OvuQvx5IpCJUY0snlbJmVwb8sstUakE7nktBm/XLsL8vDiZrY7+puWXDJlRsPtk\nqiZKaiwWs2z2ZL0sBLEY/v1QJjc/H4cgqHh2eT6v/CX7mpBh7rdRMHbsWH799VcefvhhvfdkMhkb\nNmxgwoS+NWgHS11dHQqFAldX3fw0V1dXdu/ebXCfqqoqvLy89MarVCqqqqp6NQpyc3MNvj4UiBTa\nhXF2YTGu5sNbzOVqkcfXz5dS22zBuOBynO3UD+fiIsPjTxeUkVVcrtm+fmwEtpZmFNU0UFTTQFlD\nk46R0N4l4UR2Piey8xEEcLezwcfZgdYuCXmVtXT10tnVxdaKYA8Xgtydseo2BCpK9dOZBsuciEBs\nTI04ma9e3DW2tvPupl+YEOTLifwSLLq9cuP8vagqL6O//v1z54iJQoogwPRxH1HTGERLuwszonNp\nrM1E2tp/HXGVCr7fH8Hr3yTSITFh8fOjmZ3wCQqllPzyKnILSwh0iyWjUP2Qbm4z5rskD75L8kAQ\nVOxb9Tmu9pdfp8ROiZSNB05qtsO93BBJOvq8xuJ83DAXVOw/m49SpaK9S8JHP24nIcSPMf6eCIJA\nTkUNv5/R5rJ7OdoxMcCT/Pz8Xo9rCJUKFv9jGRnFuveVxPBiHEzTyc3VTf1YOjmX+bG7ySxxIbPY\nWf3/Emc87bIN/k32ZiWArlHgbNdGTU2dwfHXj1W/NsA/Y8B42VuT020sl9c1UJ7cwE/Jx3GytiTA\nzYlANycc+iEhaIi0Qlc+/lF9b91xzIWI5VN44Ppj3L/gBCbGV1Y+7pGcIkDtyTyYsoIDKVqJxLGB\nxXQ2p5HbNvDFglIJ88ba4W7vxvjQMpbNSMHYSMkwPnr6hY+jnUbOV6T6mQ8ekfO3L+bS3K51+oX7\nVFNSrF+n1dBizgdbJhAbWElsYCWezs2XNJqgVKnYe1rruQ5ydUDenspb9zex/VgwL96xh64WBbkt\nQ//ZVgJYOYB/d8ucP/6ubhbGlFXdptmubnDnkXfceeHTEB698Qh3zErRO+ZwrksGS05FjeZ+IgiQ\nEOBJbk4eO08G8r9t4/jw0V8MPp9euyuXpnYz7n5jMVmlLiwYn42rxVE6LLSO3BOZOQQ5Db7BZUNb\nB1uPap1I44O8aa6roblOP70v3D2XB69XMCmihHEh5b2ul4YLudyE9vbeFRMNERQ0+Bq6fq9G//a3\nvzF//nzuu+8+li5dCkBFRQXbt2/n9ddfJycnh08//XTQE7oWsLfSeggb24ffe2YkVjEupPz8A4Ga\n5lYOZWs9W2P8PfF2tgcg2ncU0b6jkMoVlNU3aoyEdonWQ61SQUVjCxWNhu+ydpbmhHi4EOzhgp2l\nucExQ41IJDAxxA83Oxt2pmQhlStQKlU6f6edpTlRvhcWsbG3NMfS1AToYHb8KsJHjWf5zOLz7teT\nhhZz/r5mtk4qQU6ZEyHVgYxyVqfGpJdWUl5vw23TzrA/1Z/KBq1H18+t4bI0CAD2ns2nS6o2jqzM\nTJkU6n/efQRBINLHAycbS7adyqRdIkUFHMoupKa5lSAPF3amaBclrrbWLBgbfkHSdYIA984/yVOf\nLAAgyr+SlbccJCGs98JQOysJCWGlfY45R2JECcZG+/F2acLbpQkvl2YsTIem78BgCBnlQkldI3lV\ntTrSx3Wt7dS1tnM0txh7S3MC3JwIcHPC2caq3xEYX9dG7ph5hq93R6NUiZDKjfjgx4n8ejiUzf/4\nBkuzC2+6dbEprFE/mPeduo/0fK2c8sL4LN68fztGvRSong+RCO6/7viQzHEoCXJ34lSB+rwurKnn\nLzPz2LeqhPQiV07nenAqz50of8Ouk1N57nyTFMM3STEAONm0M398Dk8sPoSV+cWPZBbVNNDaqU5Z\nNDMxJshdnR8+KaKESRFD74AaKP9373He3tzI7pNxyOTq52FTmwXyS397GBBKlUpjPANEentyKieG\nD3+aQHap+jv//Lc4Xrhjr96+ggD2Vl2seXYza3eM4dEbD2MkVuHjbK/JUqhrbae5oxNbiwtfM6hU\nKpLScjQOTRdba2J8PZFIxRgZKRGL9K/jJxZfvYpqvdFvo2DOnDmsX7+eRx99lNWrVwNw1113oVKp\nsLOz46uvviIxMXHYJgpqlSOxWEx1tW4ebnV1NW5uhuUL3dzcDI4XBKHXfWBoLK7esHJwYtsp9UKv\nTSIb1s8aCBKpjI0btqDsXiF4uzhxx4JZBptJnVMcVqlUlNXWc7aolPTCUkqqavU0e+ysLBkb4s+Y\nYH88nR0vWdffoKAgxkSEsfq33ZR369if4/ZZkwntRWbwj5zz1vT83UILKjiZnY+7UzaT42wJCors\n97ykMoF5y6ZRWKH1yo72bWX6uHcQic7qjG3syCZxzGesfmkW+eWOmiLzCRGNvZ5HvdWNXAzO5BaS\nV6nNp/7TvGkD0gcPAqLDw1jzWxIFlerrOK+qjrwqbaGXq4Mdj9+ycFCa348HKDmWW85tsypYNLka\nQTDr/vQL59x5cvMcG26e0wKIAIfu/y4PQkNCaO+SkF5QTEpeMVkl5cgVWk9+Y3snJ/JLOZFfiqON\nNdGBPkQH+uLj5nLewv+10eU8trSNB9+K5ESWuvZi6ph2YiJ9h/NPGlIaW9upa9kPgJNdmeb1ZbPL\n+fKFfIyMAgf9GYbuJ5eSQJWKXWl51Le0IpUrkJmYExXqTVQELKMJOJfepD/fL3aF6mzXtViyflcs\nqUX+nFxzgH6Ung0ZbR1i/r6uDVdHdV3OpMjRjA4d+u7igyEoCGYktvDDvg9591snUnMXIpFZ4uq2\nHT//RM2zNzc3l+Z2U+RGUZqaBolMXePgYi9hSkyD3rGTU+G9b+0xM2vm1T/L8PMYvk7Kp3MLae5Q\np2A1tY7mgx+eJS1ft2fP1uPhfPx8ZZ/KfPFjagHtNRWaXaJp9tqmFDFuENfIofRsKrudlSKRwL3X\nzaK6wZc/vR7LHfPKeO5PwxyaHSAKRTBi8cAatzU39977qr8MKG9l2bJl3HjjjezYsYPc3FyUSiUB\nAQHMnTsXa+vBh3bOh7GxMWPHjmXnzp0sXrxY8/rOnTu59dZbDe6TkJDAc889h1Qq1dQV7NixAw8P\nj0tSTwDgZGuDIAioVCoaW9qQyuV9qqtcLL7fd5jaJvVFY2pszF3zp5+3u6wgCHi5OOHl4sTc8bG0\ndnRytqiMvLJKzEyNiQn0w8/DtV/KQRcDZzsbnrztejYlHeJopvphHOHn3avueH8J8nTX5D/mllUw\nc2z/jQITYxVPLS3gkXfU+zxySyH3LdrD57+ow8emxsbEhQaQnKZOlckpq+TDH7axYtEc/npHK3+9\nI7/XJnerNvrx5leB7H7/8EUvkGrr7GLTHm2tz4Sw4AtqGGRracEji+ez5cAx9qfoGkn21pY8dOP5\nmwC1tBuxZb8r67d78vObx/VydkUi2PDq6V72vrqxNDMlPiyY+LBguqRSMgpLSckr4mxRmab5EEB9\nSytJp9JJOpWOraUFCREhzI2L6TM6Mza0mcOfJfPJFh9WbfTnjYcyex17OdKzwHjx9DPcPCWdY2ft\nWPP3Mwyy8fZliyAIxAT5agpGz+QWEumvXxNjiMXTKrEwVXA43Z7D6faaWranlhVcVIMgr8yCG54d\nQ1axHROjOhgbuoXEqNDz73iJuHnqaMxMTrH1yIM0tHiRV1HMl9uk3DN/hub6Opkzigff05deX5BQ\nrTEKlEolGUWlJKdmsfWwG78l/x2An/e3sP6lbD1hg6FApVKx64S2h8bESA+++V0rvW5hJufhxUU8\nvbRgwFLdkQE+nC0uQ6USSC0oYVrshSnKtbR38lOytsHYtJho1m2L4+X/hSCTi3j5fyHMja8lNngY\n8siuMAa8ErWwsODGG28cjrn0i5UrV3LnnXcSFxdHYmIiH3/8MZWVlaxYsQKA559/nuPHj7Nr1y5A\nbci8+uqr3H333fz9738nOzubN954g1deeeWS/Q3GRmKcbKypbW5BBRw7m8ukqKFtuT5QTuUUaAo7\nAW6dnnBBBYfWFubEhwURH3Z5eL0MYWJkxLLZk4kK9KWqoZHJQ/Ddn5PWBMgvr9brwtglEWFqouw1\nv/bBm4o5kWXLkhmVzJtQy+rftHmwcaMDuXVaAnZWlvx6WJ2bX1pTx3ubfuOhm+biYGNt8LgfbPLl\n6Q/UMZ0ZjyaQ9MHFNQw27zuiKVa3tbTgxinjDY57dFU40YEtzJtQ26sMo5FYzC3TEvByceK7pIPI\nFAoszc146KZ52PeS997SbsQvya5sSlLrYJ8rIP7we1+eWV5gcJ9rHTMTE8aGBDA2JACpTE5WSRln\n8orIKCilU6pN/2hu72D70dPIFYo+JQdBXbT38OJiHlhUoqfkdI6mVqMh6djck6JKc/LLLQj2asfT\npeuCctt79tSI8PNmakxRr51NryZig/w1RkFaQTEyuQJjo/NbQXGjm4kbrfZWKpXwXZIHu084sXxO\n/9JXh4Kth1y449UYmrp7CxxOu4PZceU49qJedrkwf0IscqVCs8BOzS9m/Y69/GnuNACMjQzX4khl\nIlraOzmckc2h9CwaW9VppGKRo2ZMa4cNNz4Xx90LSnn38Qxsz9PPaCDklFbo9IBYPtuVg2fK+XG/\nGw/dXMwzy/INNoXrDxH+3qzbfppfDrxITMgv/HlBF5YXEBH+8cBRTcNMkeDHW18/wuE07fdjbKQk\nr8xyxCjgAowCiURCaWkpjY2Nmk5wPRk/3vCDf6hYsmQJDQ0NvPbaa1RWVhIREcG2bds0PQqqqqoo\nLNTmitvY2LBz504efvhh4uLisLe355lnnuGJJ54Y1nmeD/9RrtQ2q0/A7/YcoqG1jesmjrskHvX6\n5lY27k7WbI8NCSAudPBh8cuZcw1S+usBOx9OttbYW1nS2NaORCajpKYOP3e1skhavjVLXxrDQ4uL\neGBRMSKR/qJCEGD139QPg8bWdh2lnnMNvOaMj8HKwoxvkw6hUqmoaWrm3e9+5aGb5uHuaK83p3Gj\nm7C2kNHaYUxtk+lFNQxS84s1kROA22cmGmzQU1hhzn83a0OkEf4tzI1XKypNH1Ov9z3FhwXh5+5C\nVkk50QE+fcpo/uvLIN7+JkDv9Y9/9GXl7QVXrad3qDAxNiIqwJeoAF/kCgU5pRWcySsiLb9Y05l1\n98k0ogN8u5sb9k1vBsHpHBumPjSR5/6Ux9PL8odE4eOdDf4886FWZtDZTsLY0GYmhDfy0r39K9aU\nyuTklGiVZ85FE692gwC6VYhsrKlvae3RyGxg90qRSK3c05t6z1A3AVQq4fV1gbz8vxBNt22xSMrU\nsZ+yZOblk7LXG4IgcP3EcSiVSpJOqfvcnMopRCQSEe/ngZ1VF/FhjZiaKDExUmJiokQu78DCLJuX\nV2/UqP6cw966ggkRv5GSm0inRJ3K8+VWL5zspLz58OAjdiqV2iDpGSWIDw/G2sKcfz+UxTuPnR10\nXwulwpZth16jqt6X3w8H8cHmrTx3x8COkVlcpvMsEgtLdAyC+LBG1r10plf1xmuNfhsFDQ0NrFy5\nko0bNyKT6ecnn+vMq1AMv7LEihUrNJGBP7JmzRq918LDw9m7d+8wz2pgXDdxHKXVdVR0d9TbdSKV\n2sYW7pg7BVPji6dVrFAqWfv7Xk0hqKON9QVJOl7rCIJAkJcHx7pTknLLKvFzd+HAGQfmPBmPRCrm\nqQ/CWLfNk4cXF/Gneb17zg6lZ2nqOoI83XUW/BMjQrE0M+PL7XtQKJQ0t3fw3qZfeWDRHPzcddVz\nEiKa2P7uUeY9Ga9jGOz+4AgR/v1rNnchtHdJ+C7poGbbxzWeI+mJhPvpF+VuP6rbATa9wIb0Ahu2\nH3Em7av9Bo/vYm+LS4/O4EolBlMTbpleqWMUxAQ1c8v0Su5fVDxiEAwQI7GYMF8vwny9UMxI5KMf\nt2uaDn69cz/PLF10QT1FFAp44I0o2jqNeOGzUDbu8uDTvw5elnNytG6OdW2TKduPuFDdYGrQKOjo\nElHbZIq3aydKJTz1QRhTYo4j636euTrYDZlU65XAYFKI+suHm31Zt82TtS+cGRJHhUwu4pdkN41B\nYGVRy/yJbxDhV0uI9y2DPv7FQBAEFk0aj1yh1KRKnsjKp721jZlRcPjzg3RKpBzPyuNgWiaV9err\npGfLH0tzMyaEBZEYGYogtPD3zx5jz4n7yC2djIdTKy/cPXgFo/wyCx56OxInuwYc7Ss0c5/R3TBy\nlPPQNN6TygUEQd0rQKUS88KnCwj2PM3N0/qnESiVyfmuRwrr2JAA5sa18v4m9Rf24t2y8d/DAAAg\nAElEQVS5/O3OvF4dFtci/b6L33PPPfz666/cfvvtxMfHY2tre/6dRugVW0sLnlhyHWu37VU3BANS\n8ouo/76V+6+fjd0FNBK6ELYfPU1RpVqOSyQSuGv+tKums+LFJsjTvYdRUMGcuGjiRjcR6t1GSp4t\nEqmYY2ftySyyYnJ0g0Ftc5lcwaE0rcymodSm6EBfHlw0l89/2YVEJqNDIuXDH7bx54Uz9Woj/mgY\nGIlVmBgNrwb2j/uP0NAqp6B8EtlF8yiuCkcQVMyKq9Pr2zAvvoa3HjnL70ec2Z/igFSmXq3PnWC4\n2VN+mQX55RbEBLew45gzm3a7U99iQvIn+n1K4kY3sXBiNQkRjdw6o3LEEzREiEUils2azP99/QNS\nmZyqhia2HT193jQiQ9Q2merUw6QX2DBpRSIP3FjM/63I6jPNQSYXOJJuz2QDRZZxo5sYG9JEU5sx\nNY0mtHaoHS1jQgwX4u0/48iCp+JxspPg7ighLd+G1b+5ct2kwzjZFRPhN7iaoyuR2CC/C0oh6g/Z\nxZY899FouqRixv15Mv+6P5snlvQ/etcpEenVBZmaKPn+tROMu3cyVhaFTB/3byzMmpkUFX/Z1LT1\nB0EQWDx1AgqlkoPdz4LM8mpUqDhdWsvx7DyD/X783F2YFDWamEBfHQN9WqwHJsar8Pc8QtAoAWuL\nENTdgQaOTC7wzgZ/Xl0d3N2kzZnFM0Jxd8oiNshPryvwYHF1kPLLm/uY9kg8Ta2eKJVibn9pDN/+\n8xQ3TTVsGEhlAr8ku/LrQVdunLpaI69rYWrCzVPisbaQ8OzyfBZNrmZ82KXrCXK50m+jYOfOnTz+\n+OOsWrVqOOdzTWFmYsJ9189iS/Ix9p7OANSNmt7Z+DP33zB7yJp19EZuWSU7jmlbfS+YMBZfN5c+\n9hihL3rWFRRUVCNXKDAzhQ2vnmLcvZPp6FJfbh0SMQdSHPB1148WpOQVafLw7awsiQwwXAwf7OXB\no4sX8MlPv9PW2YVMruCzX3ayfPYUvdSvc4bBn1+PZsu/TxDsPXyL44zCEj78fgwpuS8hkWpzeFUq\ngdW/evHKX3J0xvt5dPLU0gKeWlpAW4eYvacd2X7EhcXTKg0ef912T/65Rr8hTn6ZBQF/aI4lCPDL\nW5ef5OPVgKOtNYsS49i0Vy3ZN5A0op64OUo4/NlBPvjel5f+F0J7pxEqlcCGnaN48e5cg0ZBcZU5\n//vZi9W/elNZb0bOt0l6jdEEAZI/OYSpiRKlUt3t/WS2Lb7uhiWgT2arnVx1TabUNanT3No6LMkq\nms6kmC8JvwaNAi8XJxxsrGhoaaNLKiO7pJyIIYoWnM611ajUSaRinvkwjJ8PuLLm7yn4jzL8G1XU\nmvLDPne+3+NOYaUFhd/v1osQerl28dU/fuan5I2IREqMjcSXdX1bbwiCwK3TJ6JQKDlyVn3PzCqv\ngXJdPX0TYyPiQgKZFBXKKGdHQ4diTlw0R8/mEuSldpzklNoQ4q0rv11abYabo6TPVK7D6XY88EYU\n6QXahb8gKKiqD8bdKWtA4hoDISrQlPsWvcXnPz1LU+so5AoRvx1y0TMKMous+OJXL9Zv86S2+xpu\n7lTh2b2kuWHSeKy7JU1fe0C/x8YIavqtB+Dk5ERAgH5+7giDQyQScfOUCdw2I1HjzVCnhPxGSl7R\nsH1ue2cX637fq7kxB3m6M2uYLuprBQcbKxxt1QthmVxBcZXa2x3q0876l87gaCtlbEgTBz851Gv6\n0IFUrbpOYmQo4j4kO7xdnXji1utwsFaHV5VKFet/38e+Mxl6YxMimkhbv29YDYIOiYSNuw8ilVno\nGAQikYrrEqv1Ujr+iJWFgusS1d1ve0sf2X7EsNG655ThB+IIw0di1GgCuw3hc2lEsgsQWDcyUvHk\n7YWkf7WPhRPV6ij/fjATdyeJzridx5y47uk4/G+ZwWtrg6msVxccfv6z4YXquW67IpG6s/DS2RW9\nnldSmQhbK9202DC/nSRGr8Xc1EQvNe9aQBAEYoO09T5n8nrvzDxQbp9VwYkvDjAmRPt7HEhxZMWb\nus8glUotmDDlwQS8bprFY+9GsP+MI6XV5hzJ0K+jAiivO4JIpP7tx4UEYGGmX8t0JSASBG6fmWiw\nvs/d0Y5bpiXwzz8v5baZib0aBAAONtZMCNM6UrYdOaVTD9olETF/ZTwJ9yeSUWDV63FW/+qtYxD4\nupdzy8y/EhvyM6E+o4bViZkYaceN017E1qqCyTEn+PTZVJ33V7wZSfjyaazaEKAxCAAy8mcCEODh\nyoTzdFceQU2/jYIVK1bwzTffXJSagWuRxMhQHrxxLubdsqlSuZwvftvNzhMpBgu6B4NKpWLD7mSa\n29QeGUszU/40dyqii6kZd5XSM1pwrrsjwE1Tq6j+dQfHVyf3GrIsramjsDuVSywSkRB+fk1tF3tb\nnlxynU7dweZ9R/jt8Em982ao8+jbO3UPuGX/MZrbOwjzUyt/+bi18+p9WRT/sJuf3zzOrLg6Q4fp\nNyoVJEY1EOylzj+ODW7m9RWZ5HybxF9uOH8TsRGGFpEgsHzWZEyM1RGwqoYmth89c569esfHrZOf\n3zzOtlVHue8G/cZSu044sfWwqyZnHMDNsWvQxYwAr/wlh/ptv5PzbRIbXz3JK/dtYPq4jxAEFaN9\nPPs0zq9mehoFqfnqFKKhIty/jcOfHeTFe3IQi5WYmyr48Kl0nTGCAJuS3ElOddT53UUiFSez9FOY\nW9o7dJxpk6PD9MZcSYhEIpbPnky0rwcWpiaMCfbjsVsW8Nzym5kSHdbvVN/ZcdGac7igsprsHgX0\nL34ewtkia05l2zHuz5N5Z4M/hpZ5bzyUiYu9BAszOf+6/ww3THkSVwd1Ae+ssVGD/2P7IDLAGyvz\nRm6Z+RwJkasQBN3UsbGhummBzvYtxIV9S0LUesQiEbfNnHRFpZBdSgbU0VgikRAbG8uf/vQnPD09\nERtYZSxZsmRIJ3gtEeI9ipW3Xc+nP++grjsP7peDJ6hpbOa2GYnn7RnQXw6mZemo2yybPeWi1TBc\n7QR7enAkQx3uzS2rZH58rOa9860rDqRqFSFig/yw6WfHZ1srSx6/ZSGf/rxDY1T8fuwMbR1d3Do9\n4bzG3n++9WPmuDoiA85ffNwlEfH9Xnc+3eKDQiFw6DN1QfHZojJNmNvBtowvX/iOO+ZaDKk2uSDA\nqsfOsuqxs9eELOSVwB/TiHadTCUqwGfAaUTnEASYG2+4nuS+G0p462u113TO+BruX1TC9ZOqh0y9\nRiT6//buOyyqK/0D+PfeobehSO+9SUcUwUIRY6KJSYzRbMzumqz5JTFr1E1PjCa6GjdrSWJiTOLG\nFGM39oIdxAYqTZqANBkEpA595v7+GLwwoYrAAPN+nmceOXfuvXPGOQz33HPe9wBOVnVwsqrDup1n\nwbReZyjj1KEH/jyF6NsDJzDJxwOjHWz6paOkqsJhxSuZmB5SgtuF2p2OZD4bJkJskhFYlkOYfxme\nnVyMpyeJYGrYsTMYl5LBZ+GxNzeBVTd30IcLlmUx0cMJEz2c+rzAnaGeDoI9Xfi1bo5eToCrjQUY\nhoHFqAaoq0nQ2CSQm8r100c3YW9R3+4czdjx6XXYmdchOScG0fGykTUb01FyN8MGgq2ZSevUnxrU\nNQK5xffgaNm2+OyciCK8+40bIgLK8XxkFq7c+gaNLbKRxshAX5gZ6ndxZvJnve4UFBQU4Pjx40hJ\nScG7777b6T4Mw1Cn4BGZGupj6fNP4ocjp5FdJJszd+VWFsqqavDyExGPtGorABSXV2D/hSt8eYK3\ne79nlVBmztZtX453iu+huaWlV1lZxA2NSEhvS5s2wefh1k7Q0lDHG09Pw9ajp3HrjmwFyIsp6RAI\nWMyaHNzlcf/e5oSPtrhhlH4jTn95ucuOQVaBNr47YIOfjljjfnXb3ambmXpwtS2TS2nr62yPl6Zp\nPVT9HxZ1CIaOEG933Lh9B7flshHN7Leg1AecrOrw3btJiAgo63LeeXuXUzORWXgXlqOM4GJtDstR\nhr0aDa2pq+en/jEMA48+LLg3UjAMA38XBz7t5O3CYtwuLIaBjjbGe7kh2NO11zcvutN+fYM/ey7s\nLrQ0JJg5QdRtvnuJVIqLKe2TNAzvUYL+NmWMLy7dyoREIsUdUSnS8orgYWeFxXNyERVUir+u9MX1\nDNnFc0yiEWKTDGFvIT/NdbJ/Oeobm/DtH203sCIDvAc8WyHbmkI8LkUWC5CckyfXKdDVlqDwj1PQ\n0pDif0fP8B0CY309RI3xGdC6jTS97hTMnz8fiYmJeP/99yn70ADT1tTAG08/hp2nL/Kr7mYXibBu\n50G8+mQUTPvY621qacFPx87yafbMjQzw1ISBXVdC2Qi1tWBiIMS9iiq0SCTILb4HF2uLHo+7nJrJ\nfy5WJkZ9CvhWU1XBP6ZPwW+nLiC+tYMRm5SGMP/RnS7cc7dUHWt/k8UJlVWqI+Kf4zrtGHAcMHXx\nWNwplr/QVxFIcS1dH3n3TqGyVnaHT1tTA8910wkhI8+DaUTtsxEdv3IDM0IC+/21OptW1JmswmJs\nPxUDAIiH7HdBS10NTlbmcLYyh4u1BcwM9Tu9mEnLK+RjrezNTfq0WNJIEhHgjdLKaiRl5/FTEitq\nxThyKQHHr9yAr5MdJvh4wN7cZEAuDi2MG3v1uSdn5/FTYnU1NeDjZNfvdRnODHS1Md7TlR+RPnb5\nOtxtLcEwDD+Va+VPzvj3z054KrQEL07tPO4tLiWDX8jQWF8P3l0kw+hvXg62fKcgKTsPT4UGybU3\nLQ0pUnMLcCOrLfbl+fCQPqVKVma9/t+Ki4vDu+++q9CVgJWJikCAF6ZMgImhEIcuxgMAyqpqsG7n\nIcx/IhyuNpYPfc4DMVdR3LougqpAgL9NC4Ma/cL0O2crc9yrkN31yios7rFTIJVKEZvcdudlgrdH\nn/+4CgQsXoyahMoaMW4XiSDlOJxJSMZzYeM77Gth3Ijj667gsSVjUS1W7bJjwDDAKzPy8dEWNwCA\nrVkdFjyVh78/UQgdrSos/19b3WdNGsdneCDKw0ioiydDxmBPP00jelQnrnaMbahrbEJSdh4/dVJX\nS7O1g2AOZysLjBLqgmEYpOS2xaco89ShB7Q11PHyExG4X12Di8kZuJSagdrWDGkSqRQJmTlIyMyB\n5ShDTPBxR4Cr46CutfNA++mXwaNd+32kaiSYMsYHl1Iz0SKRIK+kFLfuFPJtvP1ULjuz+k5HY5tb\nJDh3oy3uIyLAa9BiEV2szaGuqorG5maUVdVAdL9SLpausbkZu9utSRDk7tyrG3JEXq+vCM3MzGBg\n0Hm0PxkYDMNgSqAPTPSF+OXEeTS1tKC+qQnf/nECLtYWUFNVgYpAAFWBAKoqAqioCKAqUIGKigBq\nKgLZc63/1tTVy31pPj1xbKer4JJH52xlzueXziooBnq4cZ6WV9iWS1lDHQGuDo/0+izDIGqML24X\nHQcgG4WYGuTX6TD/uNGVOLH+CqYubusY/H2VD679GCv3R2H+9ALEp+vjH0/mISqolA9aPnIplc+Z\nbTHKEH4uj1Z3MnyFervjZrtpRNtPXcC/5vT/NKKe5BaXILNAFkjJMgx8nOyQXSRCdZ38Ghk1dfW4\nnpmD65k5AAADHW04W1sgLa+Q32e0PU2tfMBQTxczQgLx2Fg/3Lydi5ikNH6NGwAoKruPHacv4kDM\nNQR5OGOCt7vcIoMDqeBeGbJaEzswDIMQL7dBed3hRl9HG+NHu/ILox27fB0edlZyN6G6msYFAPEZ\n2agSy0Zj9LS1MMZt8NK9qqqowN3OCjdbRwKSsvPkrmGOXb6B+zWyJBTaGuqYSbMg+qTXnYJ//etf\n+Prrr/Hyyy9DV7fjVAQycHyc7GCop4MtB6NRJa6DlOOQnt/1irg98Xa0pS/NAdQ+6CqvpBSNzc3d\n3jm7kNjuDpenS7+M3rjaWMDaZBQK7pWhWSLBuZspXS4uNdazrWMg1GnBzk+vd7hLZGbUiH2r4+W2\n1TU2yqU/jRrjQxkelBjLMHghMhRrftuPpuYWFJdX4sTVG5g+vv+nEXXn5NVE/ucAV0fMmzoJHMeh\npKIKmQV3kVVQjKyiYtQ1yKc8ragV84sPArLgTApQ7EhVRYAxbk4Y4+aEgntliE1KQ3xGNp+ZqL6p\nCedvpuL8zVS42lhg2lh/OFgMbErXI3EJ/M8+jrYw0O06taaymxLojUspGWiWSJB/rwypuQW9Wn9C\nynE4ndCWCnSyr+egd/i9HGz4TkFyTh6mBvkCAApLy+VGMGZOGPvI8ZfKqtdXHzU1NVBTU4OjoyNm\nzZoFa2vrDtmHGIbB22+/3e+VJLIsEEvnPIkfDp1C/r2+p3YU6mhhbkTogAcGKTNdLU2YGxmguLwC\nEqkUOXdL4N5FsGJpZTV/Z5IBEOr1cAHGXWEYBlFjfPDjkdMAZLEFkYHe0FLvPGf3WM9KRG+8DEPd\n5g6LgHUlJjENDU2yDBQmBkL40hxepTdKqCc/jSheNo3IxnRwphEV3CvjV4hnIJsuAch+H8wM9WFm\nqI+JPh6Qchzult3nOwm3i0RobJZfp8DLwZa+J3tgbTIKcyMn4KnQIFy5lYXYpDSUVlXzz2fk38Xt\nQhEWz54BG9OByWOfXSTCrXbfodPG+Q/I64wUwtYg8Qc3dI5duQFPe+se23pKTh4/LVZDTVUhNxY9\n7azBsgykUg75JWWoqBFDqK2JHadjIW2Nd3G2MkeQe8e1HUjv9LpT8N577/E/b968udN9qFMwsPR1\ntLFkzpPILymFuL4RLRIJmlskaJZI0NzSwpf57S0taJZI0NK6j4pAgKgxPkofODcYnK3M+fiNrMLi\nLjsF7Rcr87C35hc/6w9ejrYwNRCipKIKDU3NiE1MQ1TrnZXOdDds/GeNTc1yd2aixvjQOhcEgPw0\nImlrNqLBmkZ08lrbKIGPs32Xd/pZhoGVsRGsjI0Q7u8FiUSK/NYpKNlFImiqq+FxurjsNS0NdYT5\nj8YkP09k5BchJikNqbkF4DgOEqkU+y9cxj9nPdHvnSyO43Aorm0EM9DNiabF9kJkoDfiktPRLJGg\n4F4ZUnLz4eXQdcAwx3GIjm8bJQj1cu/1Ggn9SUtDHc6W5shonR6YkpMHDkB+iexGqYpAgOfDQ6gz\n/wh63SnIze2/1QxJ37EM06fMNGRwOVuZ8/M2swqKO92nsbkZV261TVfo7xR6LMMgMtAbv0XLsrCc\nu5mKyX6j+cWmHkVscjrErdMvjPR0EeBCq50TGX4a0a/70dQyeNOIissr5BaumvoQqQgFAhb25iaw\nNzcBKIVhn7EMA3dbK7jbWqGotBz/2XEAUimH7LslSLx9B77tFkPrD2l5Rci5K1sFm2UZTBvn18MR\nBJBlyQvxcsO5B6MFl29gtL1NlxfTt4tEfJpegYDFJD/PQavrn3k52vKdgku3MlFa2TYyFTXGZ9Di\nWEaqXt/as7W17dWDEAI4WZnjwddrwb0y1Dd2zK+dkJHNbzcW6sHN9uEzSvUk0NUJBrqyhelq6xv4\nBcYeRVNLC85cT+bLkYHeEAholIC0GSXUw5OhbTEsp+KTkF/S+aJk/SW63SjBaHsbWI6AhauGM0tj\nI0xsd6PjQOw1NLe09Nv5pRyHw+1GCcZ7umKUUK/fzj/SRQZ686N3haXlSM7J63Lf0+1GCca6O0Oo\nPbDr0HSn/bpKhffK0dg6hdXUQIiIAV5ZWRkMq7/kTU1NePPNN2FsbAwdHR089dRTKCrqPuB227Zt\nYFkWAoEALMvyPzc1db0ICiGPSltDnb8okXIccu6K5J7nOE4uwDjUx31AgnQFAhbh/l58+XRCEiQS\naTdH9OxyaiZqWjO5CHW0EOQ+eBkoyPAR6u0Op9YFhh5MI3oQjNrfSiurkdCaRQgAH4BIFOuxsX7Q\n0pDFMZVX1/B3pvtD4u07KCwtByALfqbP/OHoaWvJxbAdu3yDn5ffXlHpfbmYjfZ/TxTBQFcHViYd\nO/xzIkIpDW0/6LJTEBYWhoiICLS09uzDw8N7fERERAxoZRctWoT9+/dj586diI2NRXV1NaZPn84v\nqNIVbW1tiEQi/lFcXAw1tcGfD0eUS/ssRA/S5T2Qc7cEd8vuAwDUVFQw1mPgLqyDPV35TAwVNWLE\nZ2T3cETXWiQSfnVTQLaaJX0Rk86wDIMXpkzgs2k9mEY0EKLjE/m/A242lgpbH4HI09JQl4vNOHkt\nEdXi+m6O6B2JVIqjl9oyDk308YBQR/uRz6tsItp9fxeV3UdydsfRgvYZh3yc7IbE9BzvP8U/BHu6\nyK1wTPquy04Bx3GQStvuKEqlUnAc1+2j/f79rbq6Glu3bsUXX3yB8PBw+Pr64pdffkFSUhJOnTrV\n7bEMw8DY2BgmJib8g5CB1r5TkPmnuIL2AcaBbo5dZgXqD2qqKpjs2zYH9FRCUqd3hHrjatptfvVi\nXU0NBHu69ksdycg0GNOI7lfXyqUSpTvGQ0vIaDeYtgZ8NzY14+jlhB6O6Fl8+m2UtMuEE0nTRvpE\nT1tTLpbt2OXrcn8byqtr+HU8ANmUo6Gg/WrVupoaeDKU1iToL11GHJ47d67b8mBLSEhAS0sLpkyZ\nwm+zsrKCu7s74uLi5Lb/WX19Pezs7CCRSODr64vPPvsMvr70h4MMLEdLMzAMA47jUFRaDnFDI7Q1\n1FElrsPNdgGR/R1g3JlQH3dEJyShsakZJfcrkZydJ/fF2hsSqRTR8W3ztsP8vfolaJmMbKHe7riZ\nlcuvsP1b9AUsff6pfms7pxOSIJXKLmQcLc3ojuEQIxCweHpCEDYfOAkAuJSSgVBvd1j1MeajuUWC\nY5fbRpzC/b0oo94jiAjwQmxSGppaWnC3NVjfrzUg/Oz1FL6T4GJlPmiphXtibmSA2WHjcSuvEI8F\n+UFbY+BuqimbXscUXLhwAaWlXd/hKSsrw4ULF/qlUp0RiUQQCAQwMpL/IjE1NYVIJOriKMDV1RVb\nt27FwYMHsWPHDmhoaCAkJATZ2X2fQkFIb2iqq8G6de4jByC7SDZaEJec3nYRY2EKS2PDAa+Llro6\nJrSbPxp9LbHHaXd/dj0zp23lZXU1hHrTAnikZ51NI9p+Kuah219nqsR1uJTaFjw/dQzd7BmKPOys\n+bTMHID9F670+fO/lJrRtnKtpgYmKzATzkigq6WJCT5tfxuOX5HFFtTWN+BSaga/PWKIjBI8EOrt\njgUzpgzY+hfKqte3asLCwvDLL7/ghRde6PT506dP44UXXoBE8nCBZB9//DFWrVrV5fMMw+Ds2bMP\ndc72xo0bh3HjxvHl4OBg+Pn54auvvsKGDRu6PC4rK6vL5wgBetdGRmlrIr/152spaVBracSFdsF2\nzqaGg9bWbPW1IGBZSKSynOxnLl+Dzaje5fTmOA6HY9syfXjZmKMgr+tsFaQNfZfIhLjZ42yK7P/i\nemYO1CDFGKeeV1LtTmxaDlpa/+aYCnXBNoqH7f/3cK13b/nbmCI9vxAcJ4uxOnnxMhwe8oKuuUWC\no+0yDvnZWSjV99BAtRF7Ax2oClg0S6QoLq/A8ZhLKK8R84kBjPV0IGisG/FtdChpaVGDWFz+UMc4\nOz96bGKvRwp66tU3NTX1afGixYsXIz09vctHWloagoKCYGZmBolEgvJy+f+kkpISmJn1friYZVkE\nBARQ4yaDwsqoLSirsLwKOSXlELemIdVWV4OD6eClTdRSV4OHlSlfTsgu6PWx2aIyVLQGCKqqCOBt\nZ9Hv9SMj22gbc3jZtMXZXM68g2xR31dnr29sQnL+Xb48xqnrPOtE8Qx1teFl0/a9EZuW89CZ0BLz\nilDXmoJSR0NN7nyk7zTVVOHdLiX2lcw7SM5r+93yd7Ci3y0l0e1IQXV1NSorK/lyeXk58vPzO+xX\nUVGB7du3w9Ly4fOsGxoawtCw5+kTAQEBUFFRQXR0NObMmQMAKCwsRFpaGkJCQh7qNRMTE+Hn1/0i\nJ/3R4yIj04MOZW/aiI1tMw4npEIq5VBeI0ZSQQn/3ERfT7i5Dm6grqGpGVJ/2g0px6GwvBKqusIe\nF8PjOA77rratXjzZdzS8PAY+DmK4e5h2oiwcHBzxzR/H+Wxcp5Iz4eXm2qcpdIfj4tHSelFpOcoQ\nU0LGDssLF2VqJxZW1sjathv1jU2oqmvA3bqmXqe4rGtsxA+nL/Pl6SFj4O6mHIkOBqONWFhZI+V/\nu9DY3MzfAAIAI6EuHpsQDAGtWD+oJBIXCAQPt9hfVVXVI79ut5/y+vXrYW9vD3t7ezAMg7feeosv\nt3/4+/vjxIkTeP311x+5Ql3R09PDyy+/jHfeeQenT5/GjRs38NJLL8HX11cuFWpERAQ+/PBDvvzp\np5/i5MmTyM3NRWJiIubPn4+UlBS89tprA1ZXQh5QV1OFbbvgrAdpSFmWwXivwZ+Tb6SnC39XB77c\nfsGnrqTmFqCotd6qKgKaw0v6TCBgMf/xcBgJdQEATc0t+P5QNL/uRW/VNTTifGJbBq+oIN9h2SFQ\nNtqaGnhsbNsNuRNXbvb6sz+TkCy32ONYd5cBqaOy0tbUwCTfjjd7wv29qEOgRLodKYiKioKOjg44\njsM777yDuXPnwt/fX24fhmGgra2NwMBABAQEDGhlN27cCFVVVcyZMwf19fWIjIzEL7/8IvfHIDc3\nF3Z2dny5srISr776KkQiEYRCIfz8/BATEzPgdSXkAWcrc+QW35Pb5utkp7BVIacE+iA+XRZon5yT\nj+LyCpgbdR5bwHEcTly7yZdDvNygq6U5KPUkI5O2pgYWzJiCdbsOobGpGfdrarH1yGm88cw0qAh6\nt+bFhcRbciuZ+jja9nAEGSomeLvjYlI67lVWob6pCccuX8fs8O5H+6vF9XILnz0e7E+rqA+AMH8v\nnG/3u6WrqTGga+iQoafb36rg4GAsXboU//rXv/DJJ5/g/fffx9KlS+UeS5YswcDd6s4AACAASURB\nVKuvvjooF9mqqqrYuHEjSktLUVtbiz/++KPDlKWcnBz8+OOPfHndunXIzc1FfX09RCIRjh07hqAg\nymk7ErQPai8pqcCdO21Tc7Kzi5GYmMuXk5JyceFC2xSYuLg0HD58jS+fP5+C3btj+fKZM4n47bdz\nfPnkyRv46afT7fZPw/ffn+DLR45cw5Ytx/ny4cPXsHnzMQCAi7UFclNESIptq09TSTO+/vowXz54\n8Aq++qqtfODAZXz55SG+/Mcfl7Fx40G+vH//JWzYcAAAwHHA3r1xWLfuADiurfzFF/v58p49cfjP\nf2RlM0MDNBU34fqZ2wBkueN37YrF2rX7+P137YrF55/vRUb+XeSJSpF1swg3ztxGuJ8XOA7YuTMW\na9bs5fffuTMWq1fv6XV5x46YRyw/OB8DjmN6Vf73vwe3vHnzaQCKe/2hXD4fnYrmnCY8uJ1z7PB1\nvLhgPaRS9Hh8fWMzvv3hGOKjZVmHpgT6YteuuCH1/h6mDDA4cuTmkKnPQJcFrArUqwT853cxJQPf\nfn+82+OXr/0dcUdlI0PmRgbIvH53yLyfwSgfOXITmzefHvDX01LXQJjvaGReL0J8dCYm+3lBVaCq\n8PevjOVt2/ZAEXqdfeiTTz4ZyHoQJVdUVI66ukY4O8sCxy5evIXS0mrMnCnLHLV7dyzy88uwZMnT\nAFhs3HgAubn3sH79mwBUsWvXOaSn5+PLL98FwOLIkVikp9/BV1+FAWBx7txlpKfnIiTkWQAMEhIS\nkJaWi2nT5gMAkpJuIi2tGM884wOAQWpqIm7dKsWcObKRsYyMZNy6VYF58wLR1KSD3Nw8VFRUQyKR\ndTCzs5ORnl7Hl3NyUpCe3gCJZCysTZpQW/kt7ouqAQAWRlZouG+F9PRMSCSy95eXl4q0tLt8OT8/\nFenpxZBIggEABQW3kJHxoMygsDANmZklkEjGAwDu3k3D7dv3IJWG8OWcnLZycXEacnNLIZWGAgDM\ndWMQdz8NAJCQkQOzRi/k3xFAKp0AACgpSUdeXjlOXJV1ZOprGqEFA+hqPQapFLh3LwP5+fchlU4E\nICsXFNwHx8nKpaXdl8vKMlBQUPGI5fvguAmt5fQey4WFg1suKtJAQ8NYcJynQl5/qJebxPfx9Pgw\nHIrbhQZxI26VlOF8YgMm+UR1e/zF5KOoqhCjtqoeRnrG8HP5K66e2arw99PXckODIUpLC1FRUT0k\n6jMYZQ0mDSoS2dRFjuNw9uptjFK17nT/ippy3Lx1B7VVsmlGTwT/FReOxaOwsGLIvJ+BLpeWnkVR\nkXhQXi9qTAiO/5GHvPoihPm/Do5jFf7+lbEsFjdCERiuP5JFjxDtgzSEwoFbc0EZcByHpqYWqKur\nAgBSUvIgElUgMlKWR/z33y8gLa0Iy5fPA6COb789iqSkO/jmmxUAVPHDD7tx9Woytmz5LwAVbN36\nO+Li4vHjj5tby78gLu4SPyq0b98+ZGRk4IMPPgAAnDhxAtnZ2XycS0xMDAoKCviUutevX4dIJMLj\njz8OAEhOTkZ5eTkmT54MALh16xYqKir4IPbMzExUVlYiKCgI8fHxKCwshK2tLR+wnpOTg5qaGvj4\n+ACQTWOrra2Fl5csiG7F5jeReScVRuZ6mBPxOqz03FBTUwNPT9n8/Pz8fIjFYri7y/JFFxQUQCwW\nw81NFndQWFgIsVgM19bA5KKiIojFYri4yObV3r17F2KxmA9EKy4uhlgshpOTE1+ur6+Hg4MsnkAk\nEmHzvpW431wIABhtFYIp/rNgby8LbCopKUF6biL2XvkGAFBf24yFT30Kn9GyEcF79+6hvr4etra2\nfLmhoQE2Nja9KpeWlqK+vn5Qyw0NDbC2th608pUrV2BmZobAwECFvP5wKFtZWeHXkxtxIf4EWpql\n0DPUxmtPLYORlmWn+5uam2DF1gW4V3oPLc1S/GPWUowfHTVk3k9fyvHx8aioqICbm9uQqM9gle/c\nzcKv578Ax0lRX9uI5ye/gciQ6R32337qa5y9cgQtzVJ4ufti8ew1KCsrU3j9B7McHR2NxsZGTJ/e\n8f+HyiOzLJVKYWrali2wN+SvYYXd7Nk16hS0Q52CvktPL0RubgmmTQsAxwE//HAK58/fws8/LwfH\naeD330/h8OEY/PbbJgDq2LPnGHbuPIA9e/aAYQQ4e/Yszp8/jxUrVgAAUlNTkZeXx1+037t3D9XV\n1fxFrlQqBcMwCgkujI+X5ckODAzs9TE5d9OwPforWIyyw0uPLYaKQHWgqtdrGfmJ2LRfNgKoKlDD\nJ3/fAj1tff75b/5YgfQ82cqh4zwi8MKUNxVSz+GqL+1EGTW3NOHLvR8hTySbTqKpro2lz6+FiUHH\nbHbnbx7G3vM/AAD0dYzw8V83Q1VF8b9Lj0KZ28nOM5txMVk27dJE3wLvv/glBIK2CQwlFUVY/cub\nkHKyLFMLn/kMLta9y1Y0kihzGyG91x+dAorUIb1SVSVGcvIdvnzmTBL+7/++hVSqAal0FDIyWrBh\nwxlIJP6QSifAyWkGKirUwDDjwbL+8PefgbCwGRAIbCEQmGHatGfx1VebwLIqYBgG4eHhfIcAADw9\nPfkOAQCYmJjwHQJAtt7EcMo24mDhjo/++g3mP/HOkOgQAICLtTdsTGT/p82SJpy72RbDkCfK4jsE\nDMMiMvBZhdSRjHyqKmp4Zfp7EOrI1uyobxRjy8FVqGuslduvuaUZpxP28+WIgKeHfYdA2T0+bi40\n1GQJF+5V3kVM0jG5549d/p3vELha+yhlh4CQwUSdAtKpO3dKsHnzMcgCO1WQmFiGV17ZAonECRKJ\nN4TCYMTG3gEQAYYZh8DAZxAV9RQEAksIBPqYPDkCR44c4e/me3h44NVXX+XPr6en16d1LUj/YRgG\nU8bM4ssxSUf5C7ET13bz2/1dQmFiQIsEkYEj1DbEP6a/D1WBGgDZBeJPx/4LiVTC73Mt/Swqa2WL\nV+pq6SN49BSF1JX0H10tIaYGzebLx6/shLheFntVWJqD65ltyR+mj//LoNePEGVDnQICQBbou2DB\nJnCcAFKpASQSK3z22T5IpaHguEi4uz8PCwsnCATuEAhs4eUVioMHD/N37C0tLbF06VL+fMPpLr4y\n83IMgqmhFQCgsakesYnHUFSai5Scq/w+Ue06DoQMFBtTJ/wl6p98OT3vBg7EbgMASKQSRF/byz8X\n7j8Tairqg15H0v8m+jyBUUIzAEBdYy2OXdkJADgSt53fx9txLGzNaF0CQgYadQqUiFjcwP9cXV0H\nL683IZFoQSKxgr5+EH799QLE4mAwTAgcHKbi7bffA8fpgmVVYWxsjP3724bu1dTU+KBVMnyxDIvI\ngGf48rmbh3Hk8u982cdxHMyNbBRRNaKE/F1CETXmOb587sZBXEo9hYSMCyivlqUc1tLQRajXVEVV\nkfQzVRVVPBX6N74cm3QMcSnRSL0jm0fPgMHj415QUO0IUS7UKVASNTX1MDaeh/JybUgkLtDWnoCq\nKglu37YCy/pCW9sDR48ehaqqFj/l56233oKKSq+z1pJhKtB1Igx0Zasu19ZXyY8SBD3X1WGEDIjH\ng+fC23EsX951ZjMOxf3Kl8P8ZkBdjRbQG0m8HcfCyWo0AEDKSbHj9Cb+uQC3ibAYRYvTETIYqFMw\ngr3wwhfIyqqARGIHL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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1617,7 +1541,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 29, "metadata": { "collapsed": false }, @@ -1626,7 +1550,7 @@ "data": { "image/png": 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A8ROmMXD0Rs6HwoXwbkzZBaF3Ux/TuTFM7Qd21pLUCSHEf2U4ufPy8iJnzpz8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\nCFFhVfiRu/J09OhR7t69S9O6aexdeJmNb6ehyUvml19+ISM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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1650,7 +1574,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 30, "metadata": { "collapsed": false }, @@ -1659,7 +1583,7 @@ "data": { "image/png": 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BtkAdHvzqq9mpoLGAe4d0CdPtVbr5TY/g5eXFsWPHcHBwKIrwhRDiuZXvOVDD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\nDVCEPQBufpia43DmSzizB479N3y3A+pPAzBmzBi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bSnFpUYX2On5hNI9oS6cWd+Lh5nVV69Y0jaiw1kSFtcaiLJw5m0BKxkmKSgrx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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1702,7 +1626,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 31, "metadata": { "collapsed": false }, @@ -1711,7 +1635,7 @@ "data": { "image/png": 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Hh2NnZ0dMTAw9evQAzPWmDh48SGRk5C0/v2HDhoV9Sfe863/hy727M4V9/0wm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\niIjo9lwjOHjwIF26dMHX1/dCwdR+OPRKx+q7Bct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mDoGQRqF7lrQkdL+SlsDW1valvE6rb3F4fvW3PdAYB0IIIYQQ0tq1+hYHExMT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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1754,7 +1678,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 32, "metadata": { "collapsed": false }, @@ -1763,7 +1687,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1779,15 +1703,10 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "A straight line is the only possible answer. Furthermore, the answer is optimal. If I gave you more points you could use a least squares fit to find the best line, and the answer would still be optimal (in a least squares sense).\n", + "A straight line is the only possible answer. Furthermore, the answer is optimal. If I gave you more points you could use a least squares fit to find the best line, and the answer would still be optimal in a least squares sense.\n", + "\n", + "But suppose I told you to fit a higher order polynomial to those two points. There is now an infinite number of answers to the problem. For example, an infinite number of second order parabolas pass through those points. When the Kalman filter is of higher order than your physical process it also has an infinite number of solutions to choose from. The answer is not just non-optimal, it often diverges and never recovers. \n", "\n", - "But suppose I told you to fit a higher order polynomial to those two points. There is now an infinite number of answers to the problem. For example, infinite number of parabolas (which are second order) pass through those points. When the Kalman filter is of higher order than your physical process it also has an infinite number of solutions to choose from. The answer is not just non-optimal, it often diverges and never recovers. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ "For best performance you need a filter whose order matches the system's order.. In many cases that will be easy to do - if you are designing a Kalman filter to read the thermometer of a freezer it seems clear that a zero order filter is the right choice. But what order should we use if we are tracking a car? Order one will work well while the car is moving in a straight line at a constant speed, but cars turn, speed up, and slow down, in which case a second order filter will perform better. That is the problem addressed in the Adaptive Filters chapter. There we will learn how to design a filter that *adapts* to changing order in the tracked object's behavior.\n", "\n", "With that said, a lower order filter can track a higher order process so long as you add enough process noise and you keep the discretization period small (100 samples a second are usually locally linear). The results will not be optimal, but they can still be very good, and I always reach for this tool first before trying an adaptive filter. Let's look at an example with acceleration. First, the simulation." @@ -1795,7 +1714,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 33, "metadata": { "collapsed": false }, @@ -1804,7 +1723,7 @@ "data": { "image/png": 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Xh/r6esTExCAxMZHXqhMREQ1yZsGMrLw0nE4/iKu3L7fZbm/niBkhP8Wz438K\nN2ePx+yBaGBoN5ibzeb2pgAA1q9fbwnqjyOXyxEfH4/4+PiOV0dEREQD1oPLVZLTD7VZ7hAAvDyG\nws9tDPw1YzA1fJoNKiTqXZ1eLpGIiIioOwqL83DmhyP4/tqpNperSCRSjA2YhMjxcxCoH4O0tDQb\nVUnU+xjMiYiIyOqampuQfiMFZ344gty72W22OzooMW1MLKaPmwUPV+1j9kA08DGYExERkdWUVhlx\nNuMozmceQ01926XkvDyGInL8bISNmgEHucIGFRL1HQzmRERE1KPM5hZk37qEMxlHkJWXBgGCaLtM\naofxz0zFs+N+ggDvYC4EQXQfgzkRERH1iMqaMpzLTMK5zGMory5us93deQimjX0BU0fHwFXpboMK\nifo2BnMiIiLqMrO5BVdvX8bZjG+QmZcKs9B2NbdRQ0MwfdwsjPYPg4w3AyJ6IgZzIiIi6rTKmjKc\nzzqGc1eSUPaYs+NKR1eEB83EtDEvwNPd2wYVEvU/DOZERETUIS0tzcjMT8P5zGPIyk977NnxZ/Rj\nEDHmBYwbPgVyO7kNqiTqvxjMiYiI6KmMZQU4n3UMF7JPorquos321rPjUZg2Jhae7j42qJBoYGAw\nJyIiojYaGutxMecsvsv89rHrjgM8O07U0xjMiYiICAAgCAJyi7LwXfYJXLp+Bg0/uisnAKiUaoQH\nRyE8OBoaNy8bVEk0cEk7Mik5ORnz5s2DXq+HVCrF3/72N9H2V199FVKpVPSYNm2aaE5jYyNWrFgB\njUYDZ2dnzJs3D4WFhT13JERERNQlpVVGHP5uL/6/hH9G/GfrcD7zmCiUS6UyjBs+Bb958d+w4bWd\nmDPt1wzlRFbQoTPmNTU1GDt2LJYsWYLFixc/dk5sbCw+/vhjCELrTQTs7e1F21euXImvv/4ae/fu\nhVqtxqpVqzBnzhxcvHiRNxYgIiLqZQ2N9bh8IwXfZR3HjcLMx87RqvWYOjoGYSOfg6vSrZcrJBp8\nOhTMZ82ahVmzZgEAlixZ8tg5Dg4O0Gg0j91WVVWFXbt2ISEhAVFRUQCAxMRE+Pn54dixY4iNje1K\n7URERNQJZnMLcgqu4PurJ3E5JwWNzQ1t5jjaO2HiiGcxOXgmhulG8uQZUS/qsWvMz5w5A61WCzc3\nN8yYMQObN2+2BPW0tDQ0NzeLArher0dQUBBSUlIYzImIiKxEEAQUluQh9eoppF47jara8jZzJBIp\ngoaGYHIx8uZ2AAAfCUlEQVRwFMYGTIbczv4xeyIia+uRYD5r1iy89NJL8Pf3R35+PtatW4eoqChc\nvHgRcrkcBoMBMpkMHh4eotdptVoYDIaeKIGIiIgeUVZ1D6nXTiP16ikYyu48do6Xx1BMDopC2KhI\nqJTqXq6QiH6sR4L5woULLc9Hjx6NiRMnws/PDwcPHsT8+fO7te/U1NTulkc/wp5aB/tqHeyrdbCv\n1mHrvpqa6nC79Cryiq/AWHX7sXMUciWGDQlGgGYsPJy9IBEkyMnOBZDbu8V2kq17O1Cxrz0rMDCw\nW6+3ynKJXl5e0Ov1yMnJAQDodDq0tLSgtLRUdNbcaDQiMjLSGiUQERENCk3NDbhTdh15JZkoqsiF\n8Ji7cdpJ5fD1GIkAzVh4uflDKunQomxE1MusEsyLi4tRWFgIL6/WpZRCQ0NhZ2eHpKQkxMXFAQAK\nCgqQnZ2NiIiIp+4rLCzMGiUOSg9+K2ZPexb7ah3sq3Wwr9bR231tbG5AVl4aLl4/g8y8VDS1NLaZ\nI5FIMWpoCMJGzcC4gMlwsHfsldp6Gn9mrYN9tY7Kyspuvb5Dwby2thY3btyAIAgwm824ffs20tPT\noVaroVarsWHDBrz00kvw8vJCXl4e3n33Xeh0OixYsAAA4OrqiqVLl2LNmjXQaDRQq9VYvXo1QkJC\nEB0d3a0DICIiGgyaW5pw7XY6Ll4/gx9yv0NDY/1j5w3TjcTEEdMxccR0uCrde7lKIuqODgXz1NRU\nzJw507Jk0nvvvYf33nsPS5Yswfbt25GRkYHExERUVFTAy8sLUVFR2L9/P5RKpWUf8fHxkMvliIuL\nQ319PWJiYpCYmMhlmIiIiJ7gQRi/lHMWGTe/Q31j3WPneQ8ZhtARz2LiiOnwUGl7uUoi6ikdCuYz\nZsyA2dz2mrUHjhw50u4+5HI54uPjER8f3/HqiIiIBpmm5iZcu30Zl2+kPDWMa1RemDjyWUwc8Sy8\nPHx7uUoisgarXGNOREREHdfY3ICrty4j/cY5XMm98MQwrnb1xITAaZgQOB2+nsP5V2eiAYbBnIiI\nyAbqG2qRlZ+G9BvnkXXrIhqbTI+dxzBONHgwmBMREfWS6roKZOR+jx9unMO1Oz+gxdz82HkerlqE\nBE7DhMAIhnGiQYTBnIiIyIqKK+4iI/cCMnIvILco+7HrjAOAp5s3xj8zFeOfmcowTjRIMZgTERH1\nILNgxh3jDUsYv1v6+DtwAoDeMwDjh0/BuOFToVPrGcaJBjkGcyIiom5qMTfDUJmPm99+j4y8C6iq\nLX/sPAkk8PcehfHDp2LcM+HwcOXShkT0EIM5ERFRF1TWlCEzPw2Zed8jO/8Sms1Nj50nl9ljxNBx\nGBsQjjH+k+CqdOvlSomov2AwJyIi6oDWS1RuIjMvFZn5qbhz7+YT5yoVLhjjPwljh0/GyKEhcJAr\nerFSIuqvGMyJiIieoK6hBtdu/4Ds/DRk5qehuq7iiXNdFO6YFByJsQGT4e81ClKprBcrJaKBgMGc\niIjoPrNgRsG9XGTfuojs/EvIN1yD+QmrqEilMjzjHYzR/pMg1DrA1dEDYWFhvVwxEQ0kDOZERDSo\nVddV4OrtdGTnX8TV25dRU1/5xLlKR1eMHhaK0f5hGDU0BI4OSgBAampqb5VLRAMYgzkREQ0qDY31\nuFmUhWu303Htzg8oKsl/4lwJJBiqfQZBfhMRNGwC/LSBvESFiKymQ8E8OTkZf/rTn5CWloaioiJ8\n9NFHWLx4sWjOhg0bsHPnTpSXlyM8PBzbtm1DcHCwZXtjYyNWr16NTz/9FPX19YiOjsb27dvh4+PT\ns0dERET0iJaWZtwy3sC1O+m4fjsd+YbrT7zjJgC4OKowym8CgvwmYOTQELg4qXqxWiIazDoUzGtq\najB27FgsWbKkTSAHgA8++ABbt25FQkICRowYgY0bNyI2NhbXr1+HUtn6Z76VK1fi66+/xt69e6FW\nq7Fq1SrMmTMHFy9e5A0ViIiox7SYW1BYnIecgivIKcjAzaIsNDTWP3G+TGqHYboRCPKbgKBhE+Gj\n8YdUIu3FiomIWnUomM+aNQuzZs0CACxZsqTN9vj4eKxduxbz588HACQkJMDT0xO7d+/GsmXLUFVV\nhV27diEhIQFRUVEAgMTERPj5+eHYsWOIjY3tqeMhIqJBxmxuQcH9IH6j4ApuFmXB1Fj31Nd4DxmG\nkb7jMHLoeAz3DoaDvWMvVUtE9GTdvsY8Ly8PBoNBFK4VCgUiIyORkpKCZcuWITU1Fc3NzaI5er0e\nQUFBSElJYTAnIqIOa2puwp17N3CzKBu5hVkdCuLuzkMwcuh4jBw6HoH6cbzJDxH1Sd0O5gaDARKJ\nBFqt+LbCWq0WRUVFAACj0QiZTAYPD482cwwGw1P3z0+69zz21DrYV+tgX62jP/W1sdmE4uoC3Ku6\nA2PVbZRUF8EstDz1NU72LtCq/KBz9YNO5QdnhTskEgmEauB69g2r1dqf+trfsLfWwb72rMDAwG69\nnquyEBFRnyEIAmpM5SiuLmwN49UFKK81tvs6R3sX6O4Hca3KDy73gzgRUX/S7WCu0+kgCAKMRiP0\ner1l3Gg0QqfTWea0tLSgtLRUdNbcaDQiMjLyqfvnzRp6zoPfitnTnsW+Wgf7ah19ra+NTQ24ZcxB\n/t1ryDNcw62711D9lHXEH9CovBDgE4wA7yAM9w6Gxs3LpkG8r/V1IGFvrYN9tY7Kyvb//Xqabgdz\nf39/6HQ6JCUlITQ0FABgMpmQnJyMP//5zwCA0NBQ2NnZISkpCXFxcQCAgoICZGdnIyIiorslEBFR\nP2AWzLhXXohbhhzcMlzHLWMOCkvyYTY//bIUiUQKvcYfAd5BCPAOxnDvILgq3XupaiKi3tOhYF5b\nW4sbN25AEASYzWbcvn0b6enpUKvV8PX1xVtvvYUtW7Zg5MiRCAwMxKZNm+Di4oJFixYBAFxdXbF0\n6VKsWbMGGo0GarUaq1evRkhICKKjo616gEREZBuVtWWiEH7beKPdD2kCgKO9E4Z5jcIwr5Hw143E\nMK+RUHDVFCIaBDoUzFNTUzFz5kzLnwnfe+89vPfee1iyZAl27dqFNWvWwGQyYfny5ZYbDB09etSy\nhjnQuqSiXC5HXFwc6uvrERMTg8TERF4DSEQ0AFTXVeLOvZu4c+8G7ty7idvGG6ioKe3Qa7VqPfy9\nRt0P4aOgVftwHXEiGpQ6FMxnzJgBs9n81Dnr16/H+vXrn7hdLpcjPj4e8fHxnauQiIj6lJr6KhTc\ny8Xt+yH8jvEGyqqLO/RaZ0cV/HSB8NMGwk83An7aQDgpnK1cMRFR/8BVWYiI6LEEQUBlbRnu3LuJ\ngnu5KCjORcG9XJTXlHTo9XI7e/h6Dscw3QgM1QbCTxcItYsn/1JKRPQEDOZERASzuQXFFXdRUJyH\nwpJ8Swiv6cAKKQBgJ5PDR+OPoZ7PwNdzOIZqh0Or9oVMKrNy5UREAweDORHRINPU3IDcomwUFueh\nsCQPhcX5KCq9habmxg693k4mh7eHH3w9h8NX+wyGaofDSz0UMhn/L4WIqDv4rygR0QBlFsworTSi\nqCQfhSX5KCq5hbzCa6g2lQP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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1851,7 +1770,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 34, "metadata": { "collapsed": false }, @@ -1860,7 +1779,7 @@ "data": { "image/png": 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CCFFUnT9/ngULFpCQkICvry+9evXizGUNXSZCxBXg7y2gbExi0J714Y8//8TV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lJKGoNB/2No56O0ZZRQmKSlXTcCi4J4QQQoghmVRw/+2332LVqlVYsGABsrKy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\n7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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1901,7 +1820,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 35, "metadata": { "collapsed": false }, @@ -1910,7 +1829,7 @@ "data": { "image/png": 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pfeeddzL++07nMympFREREUk/jqd27dokJiYCMHv2bOYtP815l484dtbAjJoC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\nKKz/+Scu3hyITRUvXN18uHJsCf+3vT5rWtxAa+lI0q7eGDzmodSqCIC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nhBBCCBGzqeB+0qRJ+OCDD7Bnzx6kpqZi586d+PTTTzF16lRrN43YEHHAHeLf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\n3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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1928,11 +1847,11 @@ } ], "source": [ - "kf2 = FirstOrderKF(R, Q * 10, dt=1)\n", - "fxs2, ps2 = filter_data(kf2, zs)\n", + "kf3 = FirstOrderKF(R, Q * 10, dt=1)\n", + "fxs3, ps3 = filter_data(kf3, zs)\n", "\n", - "plot_kf_output(xs, fxs2, zs, aspect_equal=False)\n", - "plot_residuals(xs[:, 0], fxs2[:, 0], ps2[:, 0], \n", + "plot_kf_output(xs, fxs3, zs, aspect_equal=False)\n", + "plot_residuals(xs[:, 0], fxs3[:, 0], ps3[:, 0], \n", " 'Second Order Position Residuals',\n", " 'meters') " ] @@ -1946,16 +1865,16 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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Lp+H38nWmj/LhvMpk374+mJiYGKRPz4Ly5csbOgQhnlkGT2q9vb05evQoCQkJ/PTTT3Tv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mZiZYVIOz41HM/kpo23ktIKxHB4yNy1C6dGl69OjB2bNnady4MQBubm6GCl0I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kD6XneQNYvmkB36//FK/XQ7O7iS9WvsH2nPVcN+avhIdEtWkcQgghhBDizHDO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\nvZ9++ini4uIwduxYrF69Grdv30Z6ejpGjBiB7777Dn369Gk03traWnz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/Hk8//TT+/Oc/Y+TIkSguLsaOHTugUqk83HKiuyB0AI4I6QWlnxpymck+X9/U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\n45GdnY3JkyejsbERp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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1973,11 +1892,11 @@ } ], "source": [ - "kf1 = FirstOrderKF(R, Q * 10000, dt=1)\n", - "fxs1, ps1 = filter_data(kf2, zs)\n", + "kf4 = FirstOrderKF(R, Q * 10000, dt=1)\n", + "fxs4, ps4 = filter_data(kf4, zs)\n", "\n", - "plot_kf_output(xs, fxs1, zs, aspect_equal=False)\n", - "plot_residuals(xs[:, 0], fxs1[:, 0], ps2[:, 0], \n", + "plot_kf_output(xs, fxs4, zs, aspect_equal=False)\n", + "plot_residuals(xs[:, 0], fxs4[:, 0], ps4[:, 0], \n", " 'First Order Position Residuals',\n", " 'meters') " ] @@ -2005,7 +1924,7 @@ "\n", "$$\\tilde{\\mathbf x} = \\mathbf x - \\hat{\\mathbf x}$$\n", "\n", - "We can then define the **normalized estimated error squared** (NEES) as \n", + "We can then define the *normalized estimated error squared* (NEES) as \n", "\n", "$$\\mathbf{\\epsilon} = \\tilde{\\mathbf x}^\\mathsf T\\mathbf P^{-1}\\tilde{\\mathbf x}$$\n", "\n", @@ -2013,20 +1932,20 @@ "\n", "$$\\epsilon = \\frac{x^2}{P}$$\n", "\n", - "If this is not clear, recall that the transpose of a scalar is the same scalar, and that $a^{-1} =\\frac{1}{a}$ for a scalar.\n", + "If this is not clear, recall that if $a$ is scalar, $a^\\mathsf T = a$ and that $a^{-1} =\\frac{1}{a}$.\n", "\n", "So as the covariance matrix gets smaller NEES gets larger for the same error. The covariance matrix is the filter's estimate of it's error, so if it is small relative to the estimation error then it is performing worse than if it is large relative to the same estimation error.\n", "\n", "This computation gives us a scalar result. If $\\mathbf x$ is dimension ($n \\times 1$), then the dimension of the computation is ($1 \\times n$)($n \\times n$)($n \\times 1$) = ($1 \\times 1$). What do we do with this number?\n", "\n", - "The math is outside the scope of this book, but a random variable in the form $\\tilde{\\mathbf x}^\\mathsf T\\mathbf P^{-1}\\tilde{\\mathbf x}$ is said to be **chi-squared distributed with n degrees of freedom**, and thus the expected value of the sequence should be $n$. Bar-Shalom [1] has an excellent discussion of this topic. \n", + "The math is outside the scope of this book, but a random variable in the form $\\tilde{\\mathbf x}^\\mathsf T\\mathbf P^{-1}\\tilde{\\mathbf x}$ is said to be *chi-squared distributed with n degrees of freedom*, and thus the expected value of the sequence should be $n$. Bar-Shalom [1] has an excellent discussion of this topic. \n", "\n", "In plain terms, take the average of all the NESS values, and they should be less then the dimension of x. Let's see that using an example from earlier in the chapter:" ] }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 37, "metadata": { "collapsed": true }, @@ -2044,7 +1963,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 38, "metadata": { "collapsed": false }, @@ -2083,13 +2002,20 @@ "```python\n", "from filterpy.stats import NESS\n", "```\n", - "This is the best measure of the filter's performance, and should be used whenever possible. If your simulation is of limited fidelity then you need to use another approach.\n", - "\n", + "This is the best measure of the filter's performance, and should be used whenever possible. However, if your simulation is of limited fidelity then you need to use another approach." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "### Likelihood Function\n", "\n", "In statistics the likelihood is very similar to a probability, with a subtle difference that is important to us. A *probability* is the chance of something happening - as in what is the probability that a fair die rolls 6 three times in five rolls? The *likelihood* asks the reverse question - given that a die rolled 6 three times in five rolls, what is the likelihood that the die is fair? \n", "\n", - "This is important to us because we have the filter output and we want to know the likelihood that it is performing optimally given the assumtions of Gaussian noise and linear behavior. If the likelihood is low we know one of our assumptions is wrong. In the **Adaptive Filtering** chapter we will learn how to make use of this information to improve the filter; here we will only learn to make the measurement. \n", + "We first discussed the likelihood function in the **Discrete Bayes** chapter. In the context of these filters the likelihood is a measure of how likely the measurement are given the current state.\n", + "\n", + "This is important to us because we have the filter output and we want to know the likelihood that it is performing optimally given the assumptions of Gaussian noise and linear behavior. If the likelihood is low we know one of our assumptions is wrong. In the **Adaptive Filtering** chapter we will learn how to make use of this information to improve the filter; here we will only learn to make the measurement. \n", "\n", "The residual and system uncertainty of the filter is defined as\n", "\n", @@ -2118,7 +2044,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 39, "metadata": { "collapsed": false }, @@ -2127,7 +2053,7 @@ "data": { "image/png": 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fRzRYu2gHMpN9nz0jLjsOjHMN4nkvPjj5Ev7ztUfIDh0HDjetuRffuecXsthx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\n7Hp5eTmcTueA71m4cCEqKirQ3d0tXtu3bx+Sk5NZlkJEREREBEAjCII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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2159,7 +2085,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 40, "metadata": { "collapsed": false }, @@ -2168,7 +2094,7 @@ "data": { "image/png": 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/HOVL0zGX3+ebio6Ovu1rNKmn4fnnn3eauHz9y2w2s3fv3ibfdN68eYwePZoB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\nrFmzhs2bN7vy8YiIiIiIBwn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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2192,31 +2118,20 @@ "Why does it return to zero at the end? Think about that before reading the answer. The filter begins to adapt to the new measurements by moving the state close to the measurements. The residuals become small, and so the state and residuals agree. " ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### NIS\n", - "todo" - ] - }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Control Inputs\n", "\n", - "In the **Discrete Bayes** chapter I introduced the notion of using control signals to improve the filter's performance. Instead of assuming that the object continues to move as it has so far we use our knowledge of the control inputs to predict where the object is. I did not delve into the details, but in the **Univariate Kalman Filter** chapter we made use of the same idea. The predict method of the Kalman filter read\n", + "In the **Discrete Bayes** chapter I introduced the notion of using control signals to improve the filter's performance. Instead of assuming that the object continues to move as it has so far we use our knowledge of the control inputs to predict where the object is. In the **Univariate Kalman Filter** chapter we made use of the same idea. The predict method of the Kalman filter read\n", "\n", "```python\n", - "def predict(self, u=0.0):\n", - " self.x += u\n", - " self.P += self.Q\n", + "def predict(pos, movement):\n", + " return (pos[0] + movement[0], pos[1] + movement[1])\n", "```\n", "\n", - "Here `u` is the control which is assumed to be the change in the state `x` effected by the control input.\n", - "\n", - "In this chapter we learned that the equation for the state prediction is:\n", + "In the last chapter we learned that the equation for the state prediction is:\n", "\n", "$$\\bar{\\mathbf x} = \\mathbf{Fx} + \\mathbf{Bu}$$\n", "\n", @@ -2229,13 +2144,8 @@ "$$\\begin{aligned}x &= x + \\dot x_\\mathtt{cmd} \\Delta t \\\\\n", "\\dot x &= \\dot x_\\mathtt{cmd}\\end{aligned}$$\n", "\n", - "We need to represent this set of equation in the form $\\bar{\\mathbf x} = \\mathbf{Fx} + \\mathbf{Bu}$." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "We need to represent this set of equation in the form $\\bar{\\mathbf x} = \\mathbf{Fx} + \\mathbf{Bu}$.\n", + "\n", "I will use the $\\mathbf{Fx}$ term to extract the $x$ for the top equation, and the $\\mathbf{Bu}$ term for the rest, like so:\n", "\n", "\n", @@ -2252,7 +2162,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 41, "metadata": { "collapsed": false }, @@ -2261,7 +2171,7 @@ "data": { "image/png": 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2dnbcu3ePGTNmMHz4cJYsWUJWVhYA6enpTJ8+nU6dOjFgwADOnz9foP4f3dBq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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2275,10 +2185,8 @@ "kf.P *= 10\n", "kf.R *= R\n", "kf.Q = Q_discrete_white_noise(2, dt, 0.1)\n", - "kf.F = np.array([[1., 0],\n", - " [0., 1]])\n", - "kf.B = np.array([[dt],\n", - " [ 1]])\n", + "kf.F = np.array([[1., 0], [0., 1]])\n", + "kf.B = np.array([[dt], [ 1]])\n", "kf.H = np.array([[1., 0]])\n", "\n", "zs = [i + randn()*R for i in range(1, 100)]\n", @@ -2307,27 +2215,25 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Early in the g-h filter chapter we discussed designing a filter for two scales, one accurate and one inaccurate. We determined that we should always include the information from the inaccurate filter - we should never discard any information. If you do not recall this discussion, consider this edge case. You have two scales, one accurate to 1 lb, the second to 10 lbs. You weigh yourself, and the first reads 170 lbs, and the second reads 181 lbs. If we only used the data from the first scale we would only know that our weight is in the range of 169 to 171 lbs. However, when we incorporate the measurement from the second scale we can decide that the correct weight can only be 171 lbs, since 171 lbs is exactly at the outside range of the second measurement, which would be 171 to 191 lbs. Of course most measurements don't offer such a exact answer, but the principle applies to any measurement.\n", - "\n", - "So consider a situation where we have two sensors measuring the system. How shall we incorporate that into our Kalman filter? \n", + "Early in the g-h filter chapter we discussed designing a filter for two scales, one accurate and one inaccurate. We determined that we should always include the information from the inaccurate filter - we should never discard any information. So consider a situation where we have two sensors measuring the system. How shall we incorporate that into our Kalman filter? \n", "\n", "Suppose we have a train or cart on a railway. It has a sensor attached to the wheels counting revolutions, which can be converted to a distance along the track. Then, suppose we have a GPS-like sensor which I'll call a 'position sensor' mounted to the train which reports position. I'll explain why I don't just use a GPS in the next section. Thus, we have two measurements, both reporting position along the track. Suppose further that the accuracy of the wheel sensor is 1m, and the accuracy of the position sensor is 10m. How do we combine these two measurements into one filter? This may seem quite contrived, but aircraft use sensor fusion to fuse the measurements from sensors such as a GPS, INS, Doppler radar, VOR, the airspeed indicator, and more.\n", "\n", - "Kalman filters for inertial filters are very difficult, but fusing data from two or more sensors providing measurements of the same state variable (such as position) is quite easy. The relevant matrix is the measurement matrix $\\mathbf H$. Recall that this matrix tells us how to convert from the Kalman filter's state $\\mathbf x$ to a measurement $\\mathbf z$. Suppose that we decide that our Kalman filter state should contain the position and velocity of the train, so that\n", + "Kalman filters for inertial systems are very difficult, but fusing data from two or more sensors providing measurements of the same state variable (such as position) is quite easy. The relevant matrix is the measurement matrix $\\mathbf H$. Recall that this matrix tells us how to convert from the Kalman filter's state $\\mathbf x$ to a measurement $\\mathbf z$. Suppose that we decide that our Kalman filter state should contain the position and velocity of the train, so that\n", "\n", "$$ \\mathbf x = \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}$$\n", "\n", "We have two measurements for position, so we will define the measurement vector to be a vector of the measurements from the wheel and the position sensor.\n", "\n", - "$$ \\mathbf z = \\begin{bmatrix}x_{wheel} \\\\ x_{ps}\\end{bmatrix}$$\n", + "$$ \\mathbf z = \\begin{bmatrix}z_{wheel} \\\\ z_{ps}\\end{bmatrix}$$\n", "\n", "So we have to design the matrix $\\mathbf H$ to convert $\\mathbf x$ to $\\mathbf z$ . They are both positions, so the conversion is nothing more than multiplying by one:\n", "\n", - "$$ \\begin{bmatrix}x_{wheel} \\\\ x_{ps}\\end{bmatrix} = \\begin{bmatrix}1 &0 \\\\ 1& 0\\end{bmatrix} \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}$$\n", + "$$ \\begin{bmatrix}z_{wheel} \\\\ z_{ps}\\end{bmatrix} = \\begin{bmatrix}1 &0 \\\\ 1& 0\\end{bmatrix} \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}$$\n", "\n", "To make it clearer, suppose that the wheel reports not position but the number of rotations of the wheels, where 1 revolution yields 2 meters of travel. In that case we would write\n", "\n", - "$$ \\begin{bmatrix}x_{wheel} \\\\ x_{ps}\\end{bmatrix} = \\begin{bmatrix}0.5 &0 \\\\ 1& 0\\end{bmatrix} \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}$$\n", + "$$ \\begin{bmatrix}z_{wheel} \\\\ z_{ps}\\end{bmatrix} = \\begin{bmatrix}0.5 &0 \\\\ 1& 0\\end{bmatrix} \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}$$\n", "\n", "Now we have to design the measurement noise matrix $\\mathbf R$. Suppose that the measurement variance for the position is twice the variance of the wheel, and the standard deviation of the wheel is 1.5 meters. That gives us\n", "\n", @@ -2347,7 +2253,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 42, "metadata": { "collapsed": false }, @@ -2363,7 +2269,7 @@ "data": { "image/png": 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LiIuL4/jx4wwZMoTo6Gg8i5akS99vOHXFEyoc4Lp1NbqN/3Pp1j8D/T+p2bfg\n7ibMM3eyZ/0YqlUsgaqqeQJ6amoq2dnZmJubExISgrGxMZUqVWLTpk0kJSUBSKAXrw0J9UIIIcRr\nIluXzZItM8jJ0RF+7A/SM1Pp3vQDTsdG8NuO7/F08aZfq5H/OQhbWFjg7u7OjRs3GDBgABUrVmT9\n+vUAmJhaENR0MPeNq4HdB1ynIRE/2gCg2OR/CVVRM2ha0xyLrP3sWjeGu1d3Ub58OX5Y8gPVKpbg\nVMxhthz5nQFtx2JhZgWAg4MDxYsXJz4+npYtW1KiRAk2b96MoihUqlSpkK6aEC8HCfVCCCHEa2LT\noWXcSLoMgImxKU2rv0ninavM/WMCAHfTbnPi4gEqla79n9pTFIVvv/2WTp068f3cBWBdDezex71G\nZ/rNK0N26a488McDNQc1LQKSt1G8yAXCfhuDfxkfoA7M3kFOTg5GRkakpCfzY9hUjl3YB8Af+xbT\nuVF/w/EXL15My5Yt2bJli6HpadOm4evr+1jXSIiXlYR6IYQQ4jUQn3CebUdXGz63DuqJi70HAEHl\nm7EvajMAv+/8Ad9iAVia/f/zs6ekq+js2tPw3RvsOWVFtt4SgITMguurmXG4mh1n1sS21Kmg58YV\nMzSaEMqVK4excd5IotFoOHRmB6t3L+R+1t+D7E9eOkhIUHdD/+rWrcvJkyf5/fffyczMpGHDhgQF\nBf33CyPEK0JCvRBCCPEaWLt3EaqaO0NMaa8K1K3YwlAWUqcHp2IPk5J+l5T7d1m3dzGdg9/L14Ze\nn8PR6Di2HLYi/GgR9pwwJVunAM4FHlPNuoqF9jANqhlz5sAs4s9to/1779GxYTvAFDenyg/s75Wb\nl1i6dWaebTXKNqRd3d75fuAoUaIEw4YN+49XQohXk4R6IYQQ4jXQu8VwVoTP5Wx8JG81GYhG+Xu6\nSUszazrW78fCsC8B2Be1mQaVQ3Cx9yT2Oqzbl8SG/UlEnrfhzr38L7X+pbgbNKwK9SpCTX8t/Xv3\nZNeunWw8lVtetmxZJkyYYKifkn6XmOtncbRzo6hL3naLuZYi0D+YQ2e242DrQudG71G2+IN/CBDi\ndSehXgghhHjJbdiwgdmzZ5OSkkLt2rUZO3YsVlZWeerYWNrRu8XH3Em5iaOta742KpaqRdkSgRw/\nr8PJ9m0+/MaTPSfg+m0Axz//5FfFD9rUhbb1oLz3P2ebMWPr1i0sXbqU6OhoihUrRo8ePbC2zn3K\nfvhsOMsX9nZeAAAgAElEQVS2f4cuJ5sGlULyhXqAdnV7Y2flQJPqHTAzMX+CKyTEq09CvRBCCPES\n++WXX+jWrZvh8759+zhw4AA7duzAxMQkT11FUXC0+zvQp6SrHIiCfSdh/yk4dPoT0jMfPvONRsnG\n2TYKvxLH6dvGje7NWuSrc/PuNeysHTEzMadXr175yiPO7WLplpmo5K4qdf12XIHHsjS3plXtbgWW\nCSHyklAvhBBCvMRGjhwJ5C7+VLduXfr168fZSydZ/PsP9Ok6gLt373Lp0iXc3d1xcPJg30nYcTT3\nT8Q50Ov/2Vr+QG9jCTXK6oi/NJ+UK5u4eWYrCTkZJAANXMbCv0J97I1zzP1jIsVdS/NOyCiMjPJG\njWMX9rNkywxDoHe2c8fHq3xhXhIhXksS6oUQQoiXlF6v58qVKwCEhoZibGJMm94NMHJK59TNcGbM\n0jFszHJ0Vg3BrhFGRZzRqyYPbdPNIRvLnOOYZx+jul8m08a9TVjYOnp+O4By5cpx4losu3btonPn\nzsyaNYvQ0FDDvndTbzF71Vi0uizOxkeydNu3dG/6gWH8vl6fw5YjK9D/+cKuu2MxBrb//JEWvBJC\nFExCvRBCCPECycnJYdu2bVy5cgU/Pz/q1KnzwMWgNBoNvr6+REdH8+7gXriUNybb1pxLl2tyOaEy\nsdcqkFN2kOH5u17Nu7+iqPgX19KgiilBFRWczc7TvlUNbqSkAHB6GxzaMZc+ffoAULFiRVxdXQkO\nDgbg3r176PV6NJrc0G5v40yjqm3ZdGg5kDvMxtayCG3r9v6zv0YMaBvKd6vHosvR8X678RLohSgk\nEuqFEEKIF0RGRgYhISFs377dsO3tt99m4cKFhuD8b99+O4u+I77hdE4HNm6uRtK9kg89hrkay5tN\nHdm7YTwxx38kat9dTM9VYWiHlXz44SekpKTQtGlTevfuzdixYzl79izx8fEALFu2DI1Gw6lTudPZ\n1KxZM1+/mgd2ITU92TDv/Y7ItdhYFiG4ajsg94XdgR0+R6fLxtaqyONdKCFEPhLqhRBCiBfE+PHj\n2b59O46OjjRt2pS1a9eyaNEi6tSpQ9++fUlMTCQiIgILC2tyrGuzfr8xa3YHc8U8mCvRBbdpaZJC\nx2BbbNRDzJrQnnIVPTm2KouYU6ewsbEBbIiMjKR169aGfcaNG0fNmjVJSEjgo48+Iisri0mTJjFq\n1CiWLFkCgJeXFwsWLMh3PEVReLPhO6Rl3OPEpYMoigaLf80rb2VuU2jXTAiRS0K9EEII8YLYs2cP\nAAsWLKBNmzZMnz6dIUOGsGfPHhRTNwaM+A2tZX1wCEExKfhbuImxSp0ABW/Hi8yf2pH0+yc5mlSe\nc+fOgU5H7dpvMnPmTJycnLhw4QIApUqV4tSpUzRo0ACAzz//nD59+jBv3jwASpYsyciRIwkODubg\nwYPY2trSunVrHBwcCuyDRmNEzzeGMH/9FIIqNCPAJ7CQr5QQ4t8KLdQfOHCA5ORk6tWrl29uXCGE\nEOJ1dfv2bc6fP4+rqys+Pj4PrfvXHO6RkZHUqd+KP/YCJb7hj/j2LJ7rBSVbFjA/DdjbQOs60DIo\nmzcCTbC2VIDSVHTqx0cffURUVBQAffv2pWfPnsycORNTU1MsLCwAMDU1BWDAgAFEREQQFhZGWFgY\nAL6+vrz3Xu7qsjVq1KBGjRr/6bxNjE3p32b0A98HEEIUrkcO9RMmTGDfvn1s3LjRsK1NmzasX78e\nAA8PD/bu3Uvx4sULr5dCCCHES2jevHkMGjQIrVYLQNeuXfnpp58wNTVFVVUSEhLIycnB09MTgJYd\nh7L5VADjVzVm/FYVRfkQxQPuZedvW9VeR7mzhg1L3qFxdWNMjBXANE+dgQMH0rVrVy5evIi7uzvF\nihVDq9VSokQJ4uLiKFu2LAA3btygRIkStGnThkOHDjFt2jSuXbuGv78/n332GUWKPN7Ydwn0Qjw7\njxzqf/nlF5o3b274vG7dOtatW8cnn3xCpUqVGDx4MOPHjy9wnJ0QQgjxuti3bx/9+/dHVVUCAgI4\nd+4cv/76KyVKlGDQoEF06tSJvXsPgG0QLn59sCralbiExiglGhfcoKrFRomiTTNzAkulMbBbLYxN\njGlaoz9GRg8Oz46Ojjg6/r0arKmpKWvWrCEkJITY2FgAihYtypo1azA1NcXf35+FCxcW5qUQQjwD\njxzqr169ip+fn+HzypUrKV26NJMnTwYgOjq60P8xSEhIYMSIEYSFhZGamoqPjw9z5syhbt26hjqh\noaH88MMP3L17l8DAQGbPno2/v3+h9kMIIcSrT6fTERYWRlxcHD4+PjRv3vyBM888zPr161FVlf79\n+zNnzhzCwsJo2bIlv/0RyfJdS4hJ+gClxlowtucWcCsh7/6KolLVT8HVIQIj4/W4O53DxDgLgBNx\nWpw8bGjRuC1GRkaP3LeKFSsSHR1NZGQkAFWqVDEMxRFCvJweOdQrikJOTo7h87Zt2+jQoYPhs5eX\nF4mJiYXTO3LnwA0KCqJevXps3LgRJycnYmJicHFxMdT54osvmD59OosWLcLX15dx48bRpEkTzp8/\nL+P7hRBC/GeZmZm0atUqz5SSrVq1YtWqVZiYPHzRpn/7a+hJWqYJv21Xmb/OH6rEEGNeIrfcMf8+\nFqY5NK9lREgdaFFLwdle4efNe4k4dyJPPXMrU9r3C+brj797tBP857EsLAgKCnrs/YUQL5ZHDvV+\nfn6sWbOG9957j02bNnHjxo08w3GuXLmCvb19oXXwiy++wMPDgx9//NGw7d/j9WfMmMHIkSNp27Yt\nAIsWLcLFxYVffvmFfv36FVpfhBBCvHyys7O5evUqDg4O2Nk9fKGjKVOmsH37dpycnGjbti0rV65k\n/fr1zJgxg2HDhnHgwAHCw8MxNzenQ4cOBb4/pqoqJy5AslV/lPLNWRJdi6VjAIqjmOc/ppXFbUp6\nRJCduJrvRvWmYf1aecvNbShi7Yia2zh6vZ5SnhXo3PhdLM3kwZUQItcjh/phw4bRtWtX7O3tSU9P\nx9/fn8aN/x7/t337dipXrlxoHVy7di3NmzenS5cuhIeH4+HhQd++fXn//fcBiI2NJSEhgSZNmhj2\nMTc3p169euzfv19CvRBCvMY2btxIz549uX37Noqi0L9/f2bOnImxccHf/g4cOADArFmz6Ny5M4GB\ngfTr148DBw7w9ddfM3ToUEPd0NBQwsLCqFOnDtdvqWyNtOdQtC0Rn8P12wBFwbZovtlqrC1UTHV7\nKVPmHCU8TmJvexVFgdS7mVSvWiFfnzrU70uH+n0L6YoIIV5VjxzqO3XqhKOjIxs2bMDOzo4BAwYY\n/nG8c+cOTk5O9OjRo9A6GBMTw3fffcdHH33EyJEjOX78OAMHDkRRFAYMGEBCQgKKouDq6ppnP1dX\nV65fv/7QtiMiIgqtn8+jffFik/v/+pJ7/2KIi4ujW7duaLVaihQpQnJyMnPmzEGr1dK/f/8C9/lr\neOnKlSvx9PRk7dq1QO73t2HDhqEoCiEhrYlLUDgZa0ezAVdwLJnB1dvmgHeBbSqKSknnJGr4JtOw\nSg4u9mfYfvZnQ7k2S8eVs7dpUqstZ8+elRljXnLy9f96e5r3v3Tp0g8tf6RQr9VqOXjwIMWKFePr\nr7/OV+7g4MCqVaserYf/D71eT40aNZg4cSKQ+3LP+fPnmT17NgMGDCjUYwkhhHh1hIeHo9VqadCg\nAV9++SV79uxh6NChbNq06YGhvkOHDuzYsYMVK1awYsUKAIyMjChZujI7Tzni4tuTQ7pm3DQ2RSkN\nGcDV2/nb0ejv0aiKlrrl06hZNgV7a52hTFWL4u1cnphbUZgqVnhbVaLL29UNc9QLIcTjeKRQb2xs\nTOPGjZk+ffr/+9NCYXF3dzfMo/uXsmXLMnPmTADc3NxQVZXExES8vLwMdRITE3Fzc3to29WqVSv8\nDvP3T2lPq33xYpP7//qSe//0paamEhkZiampKVWrVjUsmlSQDRs2ALmrpVavXt3wFF6j0VC1alWW\nLFnC0qVLyc7OplmzZgwZMoRq1arh6urK0GEfE3/bAQfvrriXeZufzxZB8dNwCyA5/7FUfSYu5jFU\n8knl+M4vuHlpHb0G/cxbb71VYN8qVg5g48FfaVq9ExZmlk96WcQLQL7+X2/P4v7fu3fvoeWPNEeX\nRqOhRIkSpKamPlGnHkVQUBDR0dF5tkVHRxteTipZsiRubm5s3brVUJ6ZmcmePXvkrX4hhHiF7Nmz\nB29vbxo0aEDt2rUJCAggJibmgfWbNWuGoijMnz+foKAg3njjDQCaN2/Ol19+Sc+ePdm8eTM7duzg\nk08+4e1efQg/qrIzvh26gItQ4TB3rD7i9BUH9Pq83y5VXQrq3TDqFAvD7EITOFSEJaOuM7G/MZ1b\nFMXUQuHC1VOER/7B1Vv5+2hqbEabOr0k0AshCo1RaGho6KPsoNFomDVrFl27dn0m00UWL16c8ePH\nY2RkhIeHB9u3b+ezzz5j1KhRhp+GcnJymDJlCn5+fuTk5DBkyBASExOZO3duvqc4WVlZhr+bmxcw\nDUEh+Gssv4eHx1NpX7zY5P6/vuTePz3JyckEBQWRlJREmTJlMDMzIzY2lr179/LOO+8UOA7dy8sL\nZ2dnNm/ezOXLl8nKyiI4OJhZs2bRunXr3O8dX35N5QYfc+hqPU6mD+TnLVYcPgOp9/P3oWzxVLzs\n1mF5Zzw2iWP5qLszC7/pw5rfvuXGjavcSrnOdW0UKSaXqd3Knwzj25y7fIwi1k6U8iz3DK6SeJ7k\n6//19izu//+XYR/5Rdn09HQsLS0pVaoU7dq1w9vbO9+CFYqi8PHHHz9Gd/OrVq0aa9asYeTIkUyY\nMIFixYoxceLEPOMhhw8fTmZmJgMHDjQsPrVlyxaZo14IIV5wmdoM9PocLM0fPp780KFDJCUlUb58\neY4fP056ejru7u5ERkY+dLjlgAEDaN26NVFRUTg5OVGlShX2RVxHa98bM9fWTNrSPDfAO5Fvlhp7\nG5Xq/okUdTmCiel6jI1uAlCjd0O6N11uqDdz5kwaN27MxbizlG5ojc2/vicW9KReCCEK2yOH+hEj\nRhj+vnjx4gLrFGaoh9xflf5zLvyCjBkzhjFjxhTaMYUQQjxdN5IuM3vVWNIy7vG/ViOo4F3jgXX/\nmmUtIyMDrVZLWloaOl3uy6f/34qqTs6eqHaeLN4L3afB+SueKD5z0ALafz2Rd7LT0bGRMR0agI3l\nAZZsnZqvvTNxkej1OWg0uccNCgriyJEjTJ0bCvzZJ40xbo5F8XL2prRX+f90PYQQ4kk8cqiPjY19\nGv0QQgjxGsnR5/DTxmmk3L8LwJrdP1KuRFVDUP63mjVrUqxYMS5duoSnpyeZmZlotVoaNWqEs7Nz\nvvrpGSobD8KqnbBhf8HDaf6iZsbCndV0aWLG0u/fR6PJfWZ/P6simu1G6PW5L9g62blRvmR1ypXM\n/yJc+fLl6fFmX5LSrlO7WgPcHIpiYvxoK9AKIcSTeORQX9DqeUIIIcSjMNIY0ahKG5Zu/RaAW/du\ncCrmCBVL1SywvpWVFWFhYbRv357z588DUL9+fX799VdDnTspKhsP5Ab5TYcgI6vAprAwgwaVoUSR\n8yRE/4S1RTyN6zWne/fuecbmW5pZU69iS+ysHChfshou9p4PnUO+iKUTRSydKOpS8Hz1QgjxND1y\nqP/LhQsX2LlzJzdv3qRbt26UKFECrVZLQkICbm5uD51mTAghhAj0D+bC1SgOnw0HIDxy7QNDPUC5\ncuWIOh3F5n2rMDezpIJvK3afgF1LVDbtv8+lGw+eSaaUF4TUgTcCoW5FMDdTSMtwZ8kWS87E3adK\nnbIFBvb29fo8+YkKIcQz8MihXq/X079/fxYsWICqqiiKQq1atQyhvkKFCowZMybPUtpCCCFEQUJq\n9+Bo9B5y9DqS05NIy0jB2sK2wLp6vcqXS7fy2w4r7tyrzbVb/yzNH+j9S+jp0FBDhwZQwYc8of1e\n+h1mrxpLwp0rAGw6tBz/ElVlNVchxEvrkeapB5g0aRILFy7k888/58CBA6iqaiiztramQ4cOhb6q\nrBBCiFfPyZMnmTJxKvokGwJcGjH67Tn5Ar2qqhw9pzJslkrRtjpGz2vOqYstuXbLPl97Cjl4uybi\nkP4VamQZhgQvYlxfhYBSSp6wnpSSyIwVowyBXkHB2d4Dre4B43WEEOIl8MhP6n/88Uf69OnDqFGj\nSEpKyldeoUIF1q9fXyidE0II8erQ6rIwNTYDICwsjHbt2qHVav8s/Ym40zeZMGECmVkqkedh8yFY\ntg0uXPmrhbzfskyMoYY/HNv5Dek3NnLq4A9sPfU9MVfPs2tVNpdiLuXrgy4nm9mrxnL7XgIAGkVD\nj2YfUtWv3lM6ayGEeDYeOdRfvXqVGjUePO2YhYXFM11xVgghxIsrKSmJkSNHcjzqKFVbe+LvGciA\nbiPo06cPWq2Wzp074+JZntk/RzJxiR1hl9M5E2+BVlfwMBhzs3uULnqQ0b2q0qKWE5bmCrVrr+DA\nuQOMHz8U10AdaKB+xwCyNZc5F3+cMsUrGfY3NjKhbd1eLNzwJYpGQ58Wwx86laYQQrwsHjnUu7m5\nER8f/8Dyo0ePygw5QgghuH//Pg0aNCAqKoqQfoGYWGi4cOcIobM/IDG9GMbeQ4gyGsaZgwr45i7+\ndDz/w3UUfSplfY7h47UTL9eTNA9sT6vaf09jOW3aNIKDg9m6YzMhPjWxc8pdeDBTn8p3a0Kp6FOT\nPi0/MQzBCfCpSfemH2BjWQS/YhWfxaUQQoin7pFDfYcOHZgzZw49e/bEwcEB+Pvlo40bN/Lzzz/z\nySefFG4vhRBCvHR+++037mkT6TiwAS4lHbmcUI6Ya4FEX6qKEuBCDnAmruB9zblCnYpGJJydz6nd\nU6hduwMuPiaYGDvRtEbHPHVr167NwYMH+fbbb7l9+jbugR7obO6gzc4EwMHWJd8LsNXK1H8KZyyE\nEM/PI4f60NBQdu7cSeXKlalTpw6KojBp0iRGjhzJkSNHqFq1KiNHjnwafRVCCPESORd7m1JNR3Di\nZg0un6qENtuqwHqqPgvSjlDc4RquVhdJT19L604VGPfu94RtqETbnZnEnkxkxqQ13Em5aRiX/08V\nK1Zk/vz5hs/30u+wfv9SzsRG0Cyw01M7R/HyUVWV7Oxs9Hp9obb71yiFzMzMQm1XvBye9P6bmpqi\n0Tzy/DV5PHKot7W1Zf/+/Xz99desWLECc3Nz9u7di4+PD6GhoXz88ceYm5s/UaeEEEI8X8nJycTH\nx+Pp6YmTk5Nh+4kTJ9i8eTNGRkaEhITg6+sLwO3bt1n082JOXTIizaQ+V9IqEHF2CCoFj413tINS\njue4HT0f04zdNG5Um4kTJ/Lp931QTTxJ093hm/kTWfZD7sQLvr6+WJhZ4elc8j/1387KgW5NBnE/\nKw1LM+snvBriVaGqKpmZmZiammJiYlKoU5hK9nm9Pcn9/+v/S3Nz8yf6f/KxFp8yNzdn1KhRjBo1\n6rEPLIQQ4sX07bffMnToULKzs1EUheHDhzN58mSWLFlC7969ycnJAeCzzz5j9oIwbmZV4POZ+7hv\n8haKicsD21Uz4zBN28C34xrTp6MfxsZlga/y1Amu0YZtx1YAcCJ+L5HHIilatCijR49+rHORQC/+\nKTs7G1NTU4yMjJ53V4QwUBQFU1NTtFotZmb5fxP5Xz3yc/5GjRqxffv2B5aHh4fTqFGjx+6QEEKI\n5ycsLIzBgwejV3Oo2agSFtamfPHFF0ybNo1+/fqRoxQhqPUMijXcRKZ/FH1nN2DUfEcyLFvnC/Qa\nRU+dAJX2VY/QodR4Pmkyj9Mb3uCdLmUwNi74aVSTwLaYmuQ+8XJws2HY6PeJiIjAzc3tqZ+7ePXp\n9fonHuIgxNNgZGSUZ+2nx/HIT+p37txJ3759H1h+8+ZNdu3a9USdEkII8XTpdDpCQ0OZN28e6enp\n1KtXjx9++IGVK1diam7Me593QG+SSdWWpdm2wZyvVjiS5bcHxaoK+2/nhiKlgN82OxUBd4sTnNw5\nhXe7lWL2jAlAjT///P8szKyoU6EZOyLXAlCrUWVcXB789F+IRyWrBotX1WMNv3mYq1evYmVV8MtQ\nQgghno5Lly7xzTffcP36dcqVK8ewYcOwtbV9YP1Ro0YxdepUw+dNmzbRuHFjqteoRoPuIRyPa0j8\njapcu1UOXY45mIBikr8dE+MMPJzO4OV6kmI2MYzs8Rb/+9+7kHSYYh5THutc6ldqxc7j69Hrczh/\n5STa7CxMTR7/V9JCCPE6+E+hfu3ataxdu9bwed68eWzbti1fvbt377Jt2zYCAwMLr4dCCCEe6uzZ\ns9SuXZvk5GQAVq1axZo1a9i/fz/W1vnHlOv1embNmgXAunXrqFChIkFNBxJ9vyp3bvXkdsqD1xpR\nVR0m2qNUKH+Jkl5RuDpcwMhIx961p/kl/CK/fDkRyF3TpFevXo91PvY2znRq+C47j62jVvkmEuiF\nEOI/+E+h/syZM6xYkfvikqIoHDp0iKNHj+apoygKVlZWNGjQgOnTpxd+T4UQQhRo1KhRJCcnExwc\nTM+ePRk/fjynTp1izpw5fPzxx/nqa7VaMrTG4NCWVSea0f8HY647rUEBbqfkb9/W9CbdWjpTp0Im\nYb8OZ9fO1QQUL4+NgwUmxqb0bPYJDYslMCl1EomJiQQEBDBjxgxcXV0f+5xql29K7fJNH3t/IYR4\n3fynUD9y5EjD3PMajYYFCxbw1ltvPdWOCSGE+G8uXrwIwMSJEwkMDCQpKYkhQ4YYtmdlZRETE8u1\nuw5EXHJm8yEzlBq3QTHhp7D87RlpdJQpfoXGFXJo39CCujW8/iyxpGuzWcAsbiXfYP76ybzVeBDF\n3UpTsRS0a9fu2ZywEEKIfB55TH1hL9YghBDiyRQvXpyoqCgmT55M3759WbBgAQC2zgF8PPUMsxaf\nJtMsCMXU+e+d/j1APvs21Urd5JN+/tStpMXRrjhGmgdP++dcxJ1Pun2DRpGZRIR4ESxatIjevXsb\nPhsZGeHm5kaTJk2YMGECHh4ez6wv9+/fN6xnFBMTg4mJCZ6engQFBTFkyBDD+haicD32i7Lbtm0j\nPDycmzdvMnToUMqUKUNaWhqRkZEEBARQpEiRwuynEEKIBxg/fjzh4eGsDdvP2n0WYPcBJjWa8VV4\n0dwKNmULXALKy+U6pV0uUs45gW6tSxFYo+qfJf9tsgMJ9EK8WBRFYdy4cXh7e5OZmcm+fftYtGgR\nu3fvJioq6pkskKXT6ahXrx5nzpyhR48evP/++2RkZHDu3Dk2bNhA7dq1JdQ/JY8c6jMyMmjXrh1b\nt241bOvatStlypTB1NSUjh07MnDgQMaMGVOoHRVCCJFXTo5KxDkIi6yMd5ubnI4356/lR3QF1Dcz\nTaWY2zGKux2jmNsxLM3vYWtpz/i+CySgC/GKaNq0KTVq5E4h26dPH+zt7Zk+fTpr166lc+fOT/34\nq1evJjIykkWLFtGjR488ZXq9nnv37j31PjxNGRkZWFhYPO9uFOiR/xX/9NNP2blzJ0uWLCE+Pj7P\nRPmmpqa8+eabrFu3rlA7KYQQL7Nbt26xefNm9u3bR3Z29hO1FZ+gsniTSo9xKu6todY78PmPcDre\nkn//k25qlI16dyN+5gs5+EMOGycfxiltAK4W67E0z/3GWt67mgR6IV5hjRo1QlVVYmNjDdvi4+Pp\n3LkzTk5OWFpaUqNGjTyzHP7lu+++IyAgAGtra4oUKULlypWZN2/eQ48XExODoijUqVMnX5lGo8He\n3j7PtoSEBPr27Yu7uzvm5ub4+/vz/fff56mza9cuNBoNy5YtY9KkSRQtWhQLCwsaN27MpUuX8tS9\ndOkSnTp1wsPDA3Nzczw9PenYsSOJiYmGOnq9nokTJ1K6dGn+j707j6s5+x84/vrc276KNkIUlSyZ\nlEjITpaxkzHDWGfswwxjGWMb+wyGsX1tjX1nbDPWQlmiLBFFltCitKlu6/390c8dV4WGCOf5ePTg\nns/5nM/53Nu9ve/5nM/76OjoYG1tzbhx41AoFGptVapUCS8vL44fP069evXQ1dVVSwVc0hR5pH7b\ntm0MHToUb29v4uPj8213cHBgy5Ytb6VzgiAIH7rdu3fTu3dv0tLSAHBycuLgwYOvNb9VqVRy4x6c\nugynLuX9ez+m8PpyOdSvDs1doWkdKK19H+fanbkRmsGAnouIjIwkMTERK93qTPphISF3Aqlkaf+2\nTlUQhBLo2Q3zZcqUAfIGGerXr09qaiojR47E1NSUDRs20LlzZzZt2qQazV+9ejXDhg2je/fuDB8+\nnKysLK5du8aZM2cYNGhQocerVKkSSqWSP//8k59//vmlfXv8+DFubm4olUqGDh2Kubk5x44dY8iQ\nITx58oQJEyao1Z87dy4aGhr88MMPJCUlMWfOHHr37s2ZM2eAvKk/LVu2JCMjg2HDhlG2bFmioqL4\n+++/efTokSoj16BBg1izZg1du3ZlzJgxXLhwgXnz5nHt2jX279+vOp4kSYSHh9OtWzcGDhzIgAED\nqFixYhFfgXenyEF9XFwc1apVK3S7JEmkp6e/UacEQRA+Bnfv3qVXr14oFArq1KnDw4cPuXz5Mn37\n9uXw4cNqdZVKJZExEBQGF29A0E0IvAFxiS8/hqlxNu0aaNCmPrRwhVKGz8+er8LmzZv58ssvuXr1\nKgANGzZk+fLllDYpTVOTz9/yGQvCx+Xg2c38fW5rvvLWbj3wquf9xvWLQ1JSEvHx8SgUCk6fPs30\n6dPR09OjXbt2AMyaNYuYmBh8fX1p2LAhkBfk1qlTh9GjR9O1a1fkcjkHDhygRo0aRR6o7dixIw4O\nDkydOpU1a9bg6emJh4cHbdu2zTeYMXHiRLKysggJCaF06dKqvhgbGzNz5kyGDRumtoheRkYGgYGB\nyI/W5DwAACAASURBVOV5N/GXKlWKUaNGcf36dRwdHbl+/Tp37txh586datm4nv9ycPXqVdasWUO/\nfv1YtWqVqrxChQpMmzaNgwcP4uXlpSqPiIjgr7/+om3btkV6Ht6HIl9zrVixIqGhoYVuP336NFWr\nVn2jTgmCIHwMTp48iUKhoFmzZgQGBnLp0iUAjh07RmJyJscvKhm39CmNh6Rg0VZJpS7QeTz84gOH\nzhYc0CtznkLSUTSjp+Ji2YtuzboxfdA9ujWV1AL6gJAjrNo/C5cGtYiMjMTPz4/g4GB8fX1VfzwF\nQfi4KJVKWrVqhZmZGRUqVKBXr16ULVuW/fv3U7ZsWQAOHjyIs7OzKqAH0NHRYciQIURHRxMUFASA\nsbExDx484MKFC0Xqg7a2Nv7+/qo1MjZs2MA333xDhQoV+PLLL0lJSVHV3blzJ23btkWpVBIfH6/6\nadGiBWlpaZw7d06t7T59+qgCesgbpFAqlURERACovgD8/fffqqujLzpw4ACSJPHdd9+plX/33XfI\nZDIOHDigVl6+fPkPIqCH/xDUf/HFF6xcuZLTp0+ryiQp7w/JsmXL2L59O3369Hl7PXzBrFmzkMlk\njBgxQq18ypQpWFlZoaenR5MmTbh+/Xqx9UEQBKEwz6f91dTMSxuZlJREQnIWf/mlQ8UZKKv7YdFe\ng+YjYN5GfU5dNiAuqaD8NFDKIAsbq/M0cFpLp8ajsctwJvq4E/PnKKnXKB25BvgcXECu8t/j5uRk\nczhwO1dun2Pe5jHcjbtOo0aNqF27NjKZmD8vCB8rSZJYsmQJR48e5fTp09y7d48rV67g6empqnPv\n3j3s7fNPu6tWrRpKpZK7d+8CMG7cOAwNDalbty5VqlTh22+/xdfX97X6YWJiwpw5c7h37x6RkZFs\n3LiRunXrsnHjRoYPHw7kTb1JSEhgzZo1mJmZqf306NEDSZKIjY1Va7dChQr5jgOQkJAA5E39GTNm\nDKtWrcLU1JQWLVrw+++/8+TJE7XzlyQpXwYeIyMjypYtqzr/Z2xsbF7rnEuCIk+/GT9+POfOncPT\n0xM7OzskSWLEiBHEx8cTHR1N+/btGTVqVHH0lbNnz/K///0PJycntfI5c+awYMECfHx8sLOzY+rU\nqbRo0YKwsDD09V8vNZsgCMKb2LBhAyu2zqdMBX1iJ6QzZdw8TCu1Rs9uBhfSG2DaBpCskcrnXQbO\nKiA9jQapNPhMD2c7yHhyhoz0E+iUDUKS8gL2xMdPIVNJ6dKl6diwD3M2jkImlxGdeA//K3/T0Cnv\nknHgDT+eJOf9MdTXMcTR2vmdPAeC8LHxquddpGkzRa1fHFxcXFTZb96Eg4MDN2/e5ODBg/zzzz8c\nOHCAFStWMHToUBYvXvza7ZQrV46ePXvSpUsXqlevzpYtW1izZo1qAMTb25t+/foVuG/16tXVHj8/\nSv+855O2zJs3j379+vHXX39x+PBhxowZw4wZMzh58iQODg6v3e9nSmqmm4IUechGS0uLgwcP8uef\nf2Jvb4+DgwPZ2dk4Ozvj4+PDnj17imUkKCkpid69e7N27dp8OfAXLVrE+PHj6dixI46Ojvj4+JCS\nksKmTZveej8EQRBetG/fPr788ksSU/R4qtWDWJMFtJnkRKvvS5FuOgHJuHH+xZ4AE8NIatj+TSu3\nhVinNiErwIjRrQ5w45/2rJ7flKSsI6qAvpS+Kae3hRN2/TZ16tShbYuOXDgarmrrr4D1JKTEkZOb\nw+HA7aryJs6fo6314fxREgSheFlbW3Pz5s185aGhoUiSRKVKlVRlOjo6dO7cmRUrVnD37l2++OIL\nli5dSlRUVJGPq6mpiZOTE1lZWcTFxWFmZoahoSHZ2dk0bdq0wJ9nN7YWVbVq1Rg3bhzHjh0jODiY\nxMREFixYoDp/pVJJWFiY2j4pKSlERUWpnf+H5j9H37169WL37t1cu3aN0NBQ9u/fz5dffqmaivO2\nDRo0iO7du9O4cWO18jt37hAdHU2LFi1UZTo6OjRq1IiAgIBi6YsgCB+HvXv30qRJE2rXrs2gQYPU\nLtEW5HFiFEcv7MLvUl52hOxsJacuKRn121NwCuJalj/HA4cT8agRSo0y+favXimbYV1h23QlrmU8\n+aLNCDzrrKBVvVia1rEFlKxfv56DBw+ir2NIuf+fA5v4+CkPA7PZ6LMFU1NTrly5wtWrV7kb/AQj\nnbz58RmZ6Rw6u5mLN08SlxQNgJ62AQ1reeXrhyAIn6527doRFBSEv7+/qiwjI4Nly5ZhaWlJnTp5\ni9C9+Hkok8moUaMGAImJhd/Bf+XKFeLi4vKVJyYmEhAQQOnSpTEzM0Mmk9G1a1f27NnDlStX8tUv\nqI1XSUlJIScnR63M3t4eXV1dVZ+fzeFfuHChWr2FCxeSm5tL+/bti3zckuI/rSjr6+vLmjVriIiI\nICEhQe2yB+TN6bp27dpb6SDA//73PyIiIti8eXO+bdHR0UiSlO/bnIWFBY8ePXppu0W9+aOoirt9\noWQTr3/J9s8//zBp0iTV48uXL3PixAnWrl2rtupiUloc9+JvcC8+lITUGFJSTYl67MK43+4S+siK\nlHQNoCdSATP9tGUJNK2TS32HZFztkiljlDfnJiMrnToN/83oEHc7k507dwIQGRkJwBf9upGrFYW2\npM+uJf9gZVGRbwcOY+vWrVy+fBlJkqhVqxbpygT+CVmPnaUzlQw/42b4VTRkWmTnZmJnUYdrV8X9\nRe+aeO+XXNbW1u9kVdX35cV4rCDjxo1j8+bNeHl5MWLECMzMzFi/fj03btxg06ZNqtkWLVu2xNzc\nHA8PDywtLQkPD2fJkiU4OTm9NAvikSNH+Omnn2jfvj3169fH2NiY+/fvs379eqKjo1myZIlqAHj2\n7Nn4+flRv359Bg4cSPXq1UlISCA4OJi9e/cWerNrYY4fP87QoUPp2rUr9vb2KJVKtmzZwtOnT+nZ\nsycANWvWpH///qxZs4bExESaNm3KxYsXWbt2LW3atKF169ZFOubblJKSQkhISKHbX5WIpshB/fz5\n8xk3bhw6OjrY29tjbm5e1CaKJCwsjIkTJ+Lv7y9u8BIE4a15toDKV199hbu7O9OmTePWrVscP35c\nlc4sPfMpW85s4sHjGjyI6cSD2JokPX1JfnllJuXK3KBS+WAqWl7CQiuRL1oMy1ftSWo0mppaKMkh\n7lEyi+f9BkqoV68e9vb2nD17lgDfC4z8fgj7dh0iNUlBKfu8aYdGRkZqWSuMMKKT8xAMdfNG7KuV\nc6WyWXVuRAXiUNb1bT1dgiB8AF5ntoSZmRkBAQGMGzeOZcuWkZaWRo0aNdi1axcdOnRQ1fvmm2/Y\ntGkTixYtIjk5mXLlyjFgwAAmTpz40va7du1KWloahw8fZu7cucTHx2NkZISzszMLFixQGwk3MzPj\n3LlzTJ8+nb179+al2y1dmmrVqvHbb7+91rk9X+7k5ISXlxeHDh1i1apV6OjoUL16dfbu3atK6Ql5\nn/82NjasWbOGffv2YWFhwdixY5kyZUq+totrBkpxkJSv87XuOZaWltjZ2bFv3z6MjY2Lq18qPj4+\n9OvXTy2gz8nJQZIk5HI5ISEhODg4EBgYqLpkBHmXl8zMzFi7dq1ae88vT1xc/X82SuPi4lIs7Qsl\nm3j9SzZFZjqPEx9Rq5oziU+SiY2NxdTUlOHDh/HHH0v5efoCnBuP5PjFXI6ez+b6Pa2XtifPfsQX\nbUtz/vA0Qs8swcpGm87D8lZSNNI34aevlhY4pz09I5U/9y7F3/c8cXdTcXd354cffiAqKorPPvtM\n7fK2JEkcOnSIVq1avd0nQ3irxHu/5FMoFB/1SL3wYXvV7+erYtgij9Snp6fzxRdfvJOAHqBTp064\nuqqPNvXt2xc7OzsmTpyInZ0dlpaWHDlyRBXUKxQKTp06xa+//vpO+igIwofjTtQNlu2ZypeTm6BI\ny2TckmE8UdTm5LlaUCuQ6YecUR6CvFuOCgjoc9No4qJFU2dYMqMt0RFH+GbRGf43fhq//25KTEwM\nJkY5fOboRpPP2hd6k6qutj6Du//A4O7q5ZUqVeLkyZOMHDmS0NBQypUrx5QpU0RALwiCILxUkYP6\npk2bcvny5eLoS4GMjIxwdHRUK9PX11ddngEYNWoUs2bNwt7enqpVqzJjxgwMDQ3x9n6/aaUEQXi3\nsrOzVVkVCkt99iQ5lswsXe48cuX2g/rci/6MnBxt0AJJC168dKlUZkPKORrUyMD/4DSMZKHs+jsc\nLS0tVvx8A8gbSdfU1FTdyP+mI7U1a9bk+PHjb9SGIAiC8GkpclC/ZMkSWrZsyezZs+nXr1+xz6kv\nyIvzm8aOHYtCoWDYsGEkJCTg5ubG4cOHRY56QfiELF26lLFjx5KamoqRkRGLFi2kb9+vAbh27RqH\nj58nNLoKIY9rEhjqQ05u/hSTABK55D69SLWy0cyb3J5HN3YyqL83KbJaOFWWuHz5Mba2tmhoaBAT\nE0OlSpWoXbv2uzxVQRAEQcinyEG9lZUV/fr1Y9y4cUycOBFNTc18N7BKkkRqaupb6+SLChrBmjx5\nMpMnTy62YwqCUHLt2rWLoUOHAmBoaEh6Rhr7Lq7jZpIGN25VY69vGkqDL5BkBQfydhUUtKmvSdM6\ncg7vnMKShTNo03w0bd07cCIjL7NWVlYWBw4c4PPPP+fq1asA2NrasnfvXrS1tV/Zx2e3L31IN10J\ngiAIH44iB/UTJ05k9uzZWFlZ4eLi8s7m1guC8PFJSkpi165dxMXF4ezsTLNmzV5rv/T0dLKzszE0\nNATgzz//BGDM+F+pUncoCzZd4GBITXYH5W3HCF4MpT+zgy6e0LUJ2FX8d967dlpDliyEBQsWcOnS\nJS5evAhAixYtqFy5MsHBwdy8eZPc3Fzs7e3R1Cz4i8KLrkac50jgDlq4dqGGTV1kksjmJQiCILw9\nRQ7qV65cSbt27di9e7dIMSkIwn8WGRmJp6cnERERqrLhw4ezaNGiQkezk5KS6NevH7t27QKgXn13\nfpy+nZCkrlBrEr/51QE/APcC93e2z+XS0UnkPN7OsQMX8q1ODXm5mX/55RcmTZqkuirYsmVLZs2a\nBeQtU/7ifT4vo1QquXL7LKsPzAFg1f7ZtKv/BS3rdnvtNgRBEAThVYoc1GdlZeHl5SUCekEQ3siw\nYcOIiIjA0dERDw8P/vzzTxYvXkzr1q1p3Lgxc+fOJTg4GDMzM0aMGIGTkxNffvkl+/4+C2W6Ipl4\ncTarNZ0mWwJfIBnkP4auVhJpD/ZiqhHEsV0TSIoLo9Ha2cjlcvT09Art24QJE+jRowchISFYWlri\n6ur6nz/zTgTvZc+pdarHMklGXcem/6ktQRAEQShMkYP6du3a4efnx+DBg4ujP4IgfCLOnTsH5M2H\nt7e3R09Pjw3b13DsyjZmz5/BqRNn8ipqWrD+UAYtu/zCgchZSK7/jpK/OJ4vk7IpaxaKtWUQ5eRh\nrJ0zibp153L9+nWcHH9X1RswYABaWi/PP29ra4utre0bn6erQxO1oN7FoTGlDMq8cbuCIAiC8Lwi\nB/WTJk3C29ubQYMG0b9/fypWrFhg6rj3kRVHEISSKSUlhUuXLqGpqYmzszOampqYmJgQExPDoUOH\nMDY25uzZs7i3cyRNMw0j5xZYa48iU9aC6MRSZAMHg0AqYHBdmfWYFi5ZDOhSDu1sX87f3kKVcjX5\nuuNMAP755x/69euHr68vOjo6fP3118ybN++dnbuhnjFdGg9gp98q9HWNaFW3+6t3EgRBEIQiKvKK\nss9fgn5ZFoecnJz/3qtiJFaUFYrbx/b6K5VKgsP9Cb0XTK/mw4qcveXUqVN07tyZuLg4AGrUcuTL\nH9qgmWLK6CHj8yrp2qNv3Yky1brx6HF1cnILH0VX5mail3uV0vKrPLi6AgPpBnfv3KZMmbzR75zc\nvM8euUx9sCE3N7fYl/x+2Wsf/SQSPW1DjPTzz+MXPg4f23v/YyRWlBVKsne+ouzkyZNFSjZB+IiF\n3gvmyq2zNHfpjImhKWsOzuPK7bMA2FeohYtD49duKzExkU6dOhEfH4+9vT1piqdUa2bKg/hbKDIU\ntBp8nONBFcjWtCUNSIvJ34Zcloks/QLmWjf4eZQnk8e0IurBbdIAAwMDtm3dpgro8+oXvOjU+74P\nyLJ0hfd6fEEQBOHjVuSgfsqUKcXQDUEQSgKlUsnf57ZyJ+oGZ64d4YuWIzDSN1Ft3+m3CvuKThjq\nvd5o87lz54iPj6dmzZqcPRfA/C1z8A22xP+4J1Fx/z83voCMkPryO1QoG4i97TXuBOwg9OptNh87\nhoeHLd1bB+Hr60tWVhbu7u6ULVv2bZy6IAiC8AI/Pz+aNGmCr68vjRo1et/dKbL4+HiGDBnC8ePH\nefLkCQsWLMDJySnfOU2ZMoVp06aRm5v7nnv8ZkQKG0EQVG49DOFO1A0AJElGFasadGjwFSaGZgCk\nKlLY4fu/125PLpeDvBSPpRbUH3yHaWt+wvfikH8D+v9noAudGsHysXB3J0QdNKeDTTAajy5Ss0Id\nAgIC8PDwAMDIyIgOHTrQsePnPFE8fEtnLgiC8GHz8fFBJpNx/vx5tfLU1FQaNmyItra2Kh1wUXzI\nszPGjRvHgQMHGDduHOvXr6d169ZA/nMqaGrmsmXL8PHxeWd9fRuKPFIvCMLH6/D5Har/uzk2wcTQ\nFICezYawbM9UAILD/XG+1RCnKvUKbCMnJ4dHcTL2noJdvp5IdWOIkTSJua1eTy6Hlq7QuzV83hD0\ndJ7/QDVg9qzZL+/rhZ0cOruZ2lXd6eY5GEM9sRCeIAifthcD07S0NNq0acP58+fZsmULnTp1ek89\nez/8/Pxo1aoV33//varMzs6O9PT0V2ZAW7p0KWZmZvTp06e4u/nWiKBeEAQA7kTd5GbkZSAvl3p9\nh9ZcvHgRExMTqtl8hptjM85dP0YpfTN2bdvD9rT9NG3alKZNm/IkWclvq86zxCeYJFyQDOr8f6ty\nkNTnuJfSCWNMr3IM6GSARen/NgIUeMOPQ2c3A3ApPACbstXw/Kz9fz53QRCEj82zgP7cuXOfZEAP\nEBsbW+ANpa8K6ItTcd6sLabfCIIAwP2YcGRS3keCmW4lalb7DBcXF2xtbenUqROtXHrgYO7GgtGb\nmTZ1I7+suEuzgWFYto7FtA3M3FmXZIPBzwX0/3JxUDK66xO2T7lC/FE7JvY3/M8B/cPHd1j/zwLV\n48plHWjk5PXfTloQBOEjlJ6ejpeXF2fPni0woL969Sr9+vWjSpUq6OrqYmZmhre3N5GRka9su2/f\nvujq6hIZGUm7du0wNDTEysqKxYsXA3Dt2jWaN2+OgYEB1tbWbNiwQW3/hIQEfvjhB5ycnDAyMsLQ\n0JAmTZpw+vRptXr37t1DJpMxd+5cVq1aRZUqVdDR0aFu3bqqTFOFeTYV6enTp6xbtw6ZTKZKv+7r\n64tMJuPkyZOF7l+5cmWuXbumqiuTybCxsVFtz8zMZOrUqdjZ2aGjo0P58uUZPXo06enpau3IZDKG\nDBnCtm3bqFWrFtra2mzbtu2Vz/F/JUbqBUEAoHHtdtSo7MqOY2uYPHIeKSkpVKlShQcPHrDnryNk\nDN3GyatmpNqeR9KrptovNiV/WzIpm5wnR6lT+SF71/XHykwGlPn/n/9OkZnO8r3TVY815Vp80WI4\nskIy3giCIHxqUlNT8fLy4syZM4WO0B85coSwsDD69OlDuXLluH37NsuWLSMwMJCQkJCXjiRLkoRS\nqcTLywsPDw/mz5/Pxo0bGTVqFIaGhvz000/06tWLzp07s3z5cr7++mvc3d1VQXFERAS7du2ie/fu\n2NjYkJiYyOrVq2nRogWBgYHUqFFD7XhbtmwhNTWVb775BkmSmDNnDl26dCEiIqLAdZIAGjduzIYN\nG+jfvz9ubm4MGjRIrf+vuk9g0aJFDBs2DENDQyZNmoRSqcTA4N9lyzt27MipU6cYNGgQ1apVIzQ0\nlD/++IPr16/z999/q7Xl5+fHjh07GDZsGJaWljg4OLz02G9CBPWCIKiUMbYg9a42sQ8SaN7uG5p2\nW8rOo8lcDNfh73taYJR/FVcAScpGX3aNug45dGljSmrsXn74ZiRm1q2xMhvw1vqno6VLa7cebDux\nAqUyl46NvsbcxOqttS8IgvC8KauVTFtTfO1P7gdT+r+9G1GVSiX9+vXj0aNHL51yM2TIEEaPHq1W\n1qFDB9zd3dm1axe9evV66XGysrLw9vZmwoQJAPTs2ZNy5coxYMAANmzYQM+ePQFo3rw5Dg4OrFu3\njmnTpgFQq1Ytbt9Wv8lq0KBB2Nvb8/vvv7Ny5Uq1bQ8ePODWrVsYGRkBeXPiO3bsyD///IOXV8FX\naStVqkSlSpUYPHgwNjY2rzyfF3Xo0IGJEyeqrmA8b9OmTRw+fBhfX19VAgfIW5+id+/eHD16lObN\nm6vKb968SXBwMDVr1ixSH/4LEdQLgkB2djYaGhpExys5GV4bap7h2BM3jq0AMEJ6YaKepjyb2jap\nhJxZBmkn+WqUIZoamQBcvwc52TmUsylDgwYN3npfG9RsRdXyNcjIyqCCuc2rdxAEQfiExMbGoqOj\nQ8WKFQut8/xIfGpqKhkZGVSpUoVSpUpx8eLF1wqC+/fvr/q/sbEx9vb2hIWFqQJ6yAvAS5UqRURE\nhKpMU/PfPMYZGRmkpqaSm5uLq6srFy9ezHecrl27qgJ6gIYNG6JUKtXafJe2b9+OnZ0d1apVIz4+\nXq1fACdOnFAL6t3d3d9JQA9iTr0gfLKUSiULFi6gjEUVNMv1x9DNn/KfK/nrShMkQ7d89UvrPKBu\n+VMor7Uk09+I8z4mpIVNoE3rHFVADyBJoKEpp10/d8aMGVMsfTc3sRIBvSAIwgskSWL58uXo6OjQ\nunVrQkNDC6yXmJjI4MGDMTU1xdDQEFNTU8zNzUlKSlJbtbQwmpqaWFhYqJUZGxtjZZX/yqmxsTEJ\nCQmqx0qlktmzZ2Nra4uurq7q2AcOHCjw2BUqqC/cV6pU3jopz7f5LoWFhXHz5k3MzMzUfp59iYqN\njVWrb2tr+876JkbqBeETk6ZQ4n8F5q46z8U7rUi0HY4kyUkFUD5XMTcTZeIhiN9Fi7oSu7cuRVfX\nivnzW7Bu3UMUCgXNmjVjztw5PEy4xfnrx7kacZ5cZS56mkZMGjIbXV3d93SWgiAIb25Kf4kp/V9d\nrySxt7fn8OHDeHp60rJlS06dOkWlSpXU6nTr1o0zZ87w/fffU7t2bQwNDZEkiR49erzWAkyFrdBd\n2Bx3pfLfPy4zZ87kp59+4uuvv+aXX36hTJkyyOVyZs6cWeDo++u0+S7l5ubi6OjI77//XmAfypUr\np/b4Xf4dFEG9IHzk4hNS6TdiOX7BSjJ0GpCt40KOUgOom1fhhemclUzu8eNAa1q5ZBD7yIrSpX/G\nxsZGdWPR2LFjGTt2rNo+pU3qUtOmLmmKpzyMu4O1pR1aGtrv4OwEQRCEFzk5ObF//35atmxJixYt\nOHXqFJaWlkDeKP2xY8eYNm0akyZNUu2TkZHxTka/d+zYQZMmTVi9erVa+eTJk4v92EVR2M20tra2\nBAUF0aRJk3fco1cT028E4SNx7do1vLy8sKlai9qeP9D3p/s0HqLEvJ0m+yJGk2w8hgztev8f0P9L\nknKoZZuOZ+VDKC9UpKvjUgZ9LmFtZYSrqyu2travvaKgno4BVcvXFAG9IAjCe9agQQN27tzJ/fv3\nadmypSpgfzby/eKI/G+//fZao/RvSi6X5xvhDggI4MyZM8V+7KLQ19cv8EtOjx49iI6OZtmyZfm2\nZWZm8vTp03fRvQKJkXpBKKKMzLw8tNpa7+aSWmZ2Bscv7qFZnU5oauQtmBEVFUVqairW1tZEP9Fg\n19EYxk0/RYb2VDCrjZSlwZXjz1rQzNdmaaP7lDe/gmbGSVJuHKem0pHtO7ZDZkax3NwqCIIgFL8X\ng+XWrVuzYcMGvL29ad26NceOHcPQ0BBPT0/mzp1LRkYG1tbWnD59mpMnT2JqavrKNt9Uhw4dmDJl\nCn369KFhw4aEhYXxv//9j+rVq7+zgPh1zsnFxYVly5Yxbdo07OzsMDAwoF27dvTu3VuVotLPzw8P\nDw+USiU3btxg+/bt7Nixg0aNGr2Ds8hPBPWCUAQpaYms2DsDfV0jBrWfgFxevG8hpVLJ5iNLuBh2\niuv3gujaYCi9+8/l1GUJjBqgUUqXHI1ygAWUGVxgukkA7dy7fNWpElZm17kXMx9F4j26eA5g+vij\n3Lx8iZuXgwAYOXIkHTp0KNZzEgRBEIpHQVdVu3XrRnJyMoMGDeLzzz/n0KFDbNq0iVGjRrFy5Uqy\nsrJo3Lgxx48fp3nz5vnaKKjNwq7eFlb3+fLx48eTnp7Oxo0b2bFjBzVq1GDr1q1s3rw534JQheWU\nf51c86/a/1VlkydP5sGDByxYsIDk5GSsra1p164dkiSxe/duFi5ciI+PD3/99Re6urrY2NgwbNgw\natWqVeR+vi2S8n3dafCePH9ndUFLB78Nz1Y6c3FxKZb2hffjcWIUy/ZMJS4pGgC3ak3p1WJ4vjfs\n23z9g8MuMGvDVh49rs6jx448iqtGZpbBS/eRJKhsnsztSz7Ymj3i3tUNZKc/pE+fPqSkJHP1znni\n76Xx8OEjAA4ePEhMTAy1atUSo/RvSLz3P23i9S/5FArFSxdWEoT36VW/n6+KYcVIvSC8hnvR4az4\nawZP0/PeUJIkw9rSLl9An/T0Cdk5WWjI8095eZmcnGx2+q2iilVDHic64n8F/K/Auet1SFPUeem+\nypynWOrdJfrWbsx0whj8xWfs3Loa7oTSotU3uAyayqBBg/Dx8QFAW1ub7du3qz44OnfuXKS+CoIg\nCIJQ8oigXhAKoVAoCA8PJzU7gR0Bf5CZnQGAplyLPm3GUMtWPZd7bm4Oaw/O43FCDLbmNUmSnQoZ\nowAAIABJREFUItGQa2JhUh4H69r52k9ISeTctSdcv6vL3lP3CL3bkvgka1517UxP5wkOFaPp29aR\ntb8PICjAh1lrV7FixSHOnj3LjCkb0TfWoX6z2kyfPh1TU1Nq1arFP//8g1wu5/PPP8fR0fGtPU+C\nIAiCILx/IqgXhAKcPHmS7t27ExMTg0wm0Xd8W/TN5OjrGDKow0Qql3XIt8+J4H1EROUt9HHpvh+X\n7vsB8FmVBvwxfw3bD94gS6s25e3bo2PqzpVbBmRkPbt8ZlloX5SKuxgqgxg50IlbD+aRk36DU1tu\nsuKCGSEhIejr69O8eXN69uzJmjVruHn7OvIK8eTKMnmQEIapqSmurq64urq+9edJEARBEISSocSn\ntJw1axZ169bF2NgYc3NzOnTowLVr1/LVmzJlClZWVujp6dGkSROuX7/+HnorfAyio6Pp0KEDMTEx\nWFlZoa2tw/r5f6OIkxjVfXaBAT2AjqYeEv8ukpGeYUjYfQ9mrqrDkrM/Emv5Dwml53D1sQeBoTIy\nsvIvqCGTlNhZpUHUEgjzprX5YOxT25AS3JWAHYOZMWAM98+nER0VQ0hICEZGRmzbto3y5cvzOPkh\nlHuMuRNkS+nkKnNYf3ghyanvZ9U9QRAEQRDenRI/Un/y5EmGDRuGi4sLSqWSn376iebNmxMaGqpa\nKnjOnDksWLAAHx8f7OzsmDp1Ki1atCAsLAx9ff33fAbCh+bYsWMkJSXh7u7OyZMnuXv3LlWqVGHt\n7P0s/Xl7gfsoFAq+/2Yql+7IMa7SnVSpMak5jjz73ixpFXwsfZ04jHVvYqh9k6Q7Rxjc2Y3SxhqM\n2D6CXr16sXHjSmJiYrC0tOT06dPYVKrKad8zBAcHk5qaipOTEyYmJgBcuX2OG/eCVW3LJBlftRqN\nkb7JW31+BEEQBEEoeUp8UH/o0CG1x+vXr8fY2Bh/f3/atm0LwKJFixg/fjwdO3YEwMfHB3NzczZt\n2sTAgQPfeZ+FD9uzxTc0NTWRyWRoaubd9FpQoqg0hZKjgTBzeTjnsnYg2VgSW8jaHaWNoPFn4Hfg\nV+LvH6HX545s8llIjq4u1p99xo3gAKYEb+W7774DIDQ0lJSUFM6fPw+AgYEBkiShoaFR4FSakIjz\nqv9LkowvW32HU5V6b/RcCIIgCILwYSjxQf2LkpOTyc3NVY1O3rlzh+joaFq0aKGqo6OjQ6NGjQgI\nCBBBvQDkBeRhkVfIyc3BsZLzS+s2adIEAwMD/Pz8cHBwICYmBgAvLy80NDR49FjJgTOw/zQcCQRF\nJkCNfKPxSmU2+jlXyIzdT1bcAZq3qwoROcRf2Yq+vj7XLuW1u3XrVtq3b8+4ceOYO3cuT58+pWzZ\nsgQHB2NkZKRq75tvvnlpvwe2n0jInUAexN6mdtUGrzxPQRAEQRA+Hh9cUD9y5EicnZ2pX78+kDf/\nWZIkLCws1OpZWFjw6NGjl7b1LKdwcSnu9oXXo8hK4+ytA9x/chMAN5s22JctPE1kUlocI2b0ZtOy\nvwi7GQZIVKndk1I1Z+DY4yk3HhQ+pUue+4T6DnGkRG7nku98nNyq4zXAi59/DmLrlkAANDQ0mDRp\nEuvXrwcgKCgIS0tLwsLCAEhNTWXRokVMmTKF0NBQdHR06NatGx06dHjl75Qe5tiZmJMWl8uFOPH7\n976I9/6nTbz+JZe1tbXIUy+UWCkpKYSEhBS6vWrVqi/d/4MK6kePHk1AQAD+/v7vdIUu4cMVnXiX\n0+F7SctMUZVduu+LrXmtQnPJ34i6QApR1PfugllEL249qsXtNF1u+xZ8DK2cW7RvoOTw1hEkPzzC\nqbN58280NDTo168fTk5OVK5cGX9/fwA8PDyoWrUqsbGxXL9+nSlTprBkyRLi4uKQyWQ0a9aMypUr\n4+PjQ3Z2NnK5XPy+C4IgCILwUh9MUP/dd9+xbds2fH19sba2VpVbWlqiVCqJiYmhfPnyqvJnNxe+\nTHGt+idWFSwZ4pNj2LBuJrlK9UnuJ7feZGCLMtjZ2eXbJz0jjUWHdhFw5UfuPHLLtx1AmZuFrdkD\nWrvlsuN/fYi5F4D32J3MHbaMH3/8kaCgIExNTZk/f75qhVYXFxd69eql1o6zszNyuZzffvuNuLg4\nDAwMWLFiRb56wodDvPc/beL1L/kUCsX77oIgFMrQ0PClnx/PryhbkA8iqB85ciTbt2/H19c336WH\nypUrY2lpyZEjR6hTJ29KhUKh4NSpU/z666/vo7tCCVHGyIImn33OsaDdpD/NIPjoHSIux5KQkEC7\ndu0ICQlBS+vfifAnLyn5YclTAkN/ydeWaSloU0/J+kU9IfEfrqZEo6ury9Pwqvj4BBAVFUXnzp3Z\nunXra/9hl8lkzJs3j0mTJhEbG0uFChXEZWFBEARBEP6TEh/UDx06lA0bNrB3716MjY1VNy0aGBio\n0lWOGjWKWbNmYW9vT9WqVZkxYwaGhoZ4e3u/z64LJUA1y3r86jef8MAY/E7e5GG8Dt169Cf8STbT\nlj/ExKwSSU/BLxhOXQYwU9u/UyMY1QPca4JcLuPClmtcj0+mR48euLq6sm3bNgCqV6/+n/tobGyM\nsbHxqysKgiAIQjGqVKkSjo6OHDx48J0f29PTE5lMxvHjx9/5sT8WJT6oX7ZsGZIk0axZM7Xyn3/+\nmcmTJwMwduxYFAoFw4YNIyEhATc3Nw4fPixy1H9CklKfYKxfOl95VpbEKV8btCrMw/ErY3JzJbDc\niGQJM7cW3JYk5eBgfZb1k11wtlcfOV+xYgWtWrVi37597Nu3D4ABAwbQuHHjt35OgiAIgvC6du/e\nTZcuXdi2bRtdu3ZV29aoUSNOnz7Nrl27VOm/n3F3dycyMpLIyMj3ev+WuHfszZX4oP5ZzvBXmTx5\nsirIFz4d2TlZHL2wi8OBOxjYfgLVrD8D4NYDJWv2w7oDVZCq7SEL4BW/Spoa0LN5Jk3qHKec6dN8\nAT3k3eQaFBSEj48PycnJuLu74+3tLT6MBEEQhPfKw8MDgNOnT6sF9VlZWVy4cAFNTU1Onz6tFtRn\nZGQQFBRE586d33l/hbevxAf1wscvNDRUtWrr8/dMpCpS0NcxLHS/O1E32HJsKVHx91EqYdHWnQSf\nDSU0qipPZc/ms6sH28rUS+jIUnCvV5OyFrrEJ13HyqwUtatWpoMHVLTUBtq8tL/29vbMnDnzv56u\nIAiCILx1ZmZmVK1aldOnT6uVX7hwAYVCQe/evfNtO3/+PJmZmaovBMKHTfa+OyB8unJzcxk4cCCO\njo54eXlhZ2fHmDFjUCqV3Lwbwo9Lv6JF13rUrl2bxYsXq1Z0PXHiBF8O68T0dXM5cdGGI+dGsnbf\nalbunU5gjPdzAX0eyzLwQ68cto2/TMAyBU/8XVk+4QGWpn2oaj0NPe0fOL2zB6uXTXnlneWCIAiC\nUFJ5eHhw5coVUlNTVWX+/v5UrFiRnj17EhQUpJYB6FmK8IYNG6q14+/vj5ubG7q6utja2qrWVXle\ncnIyo0ePxtraGm1tbWxtbZkxY0aBMywWL15MrVq10NXVxcLCggEDBhAfH/8Wz1wAMVIvvEeLFy9m\n1apVaGlpUa9ePfz9/fntt9+wr1aFoNiDaOnLqdbQkpTUG4wYMYLox0+RmzRhxuLL6FWYR1qwbaFt\nS+SS+2Q/NczPE7xrBhoaGkBt1faKFlXRlGuTmZ0B8hzuJl1n67TtbN++nTNnzogbVwVBEIQPjoeH\nB+vWrePMmTM0b94cyJuO4+HhQb169cjJyeHs2bN4enqqthkZGVGzZk1VGxEREXTr1o3+/fvTt29f\n1qxZw9dff42LiwvVqlUD8rIMenp6cv/+fb799lusra05f/48U6ZM4f79+6xcuVLV3jfffMPatWvp\n27cvw4cPJzIykt9//53AwEACAwPVstAJb0aM1AvvzaFDh4C8m6H9/PyYO3cuMrnEuXsH0NKXo1TC\nk0R7LKqshurHmXVkNDN2uEHZkaRl5w/olVlPqFH2Bst+gEO/hMKNjmREbUdDI/98d21NHWJvZKoe\nu7VypJazI6Ghofz+++/Fd9KCIAjCRyUtLY1vv/0WCwsLLCwsGDx4sNpI+bvk4eGBUqlUm2YTEBCA\nh4cHpUuXxt7ePt+2+vXrq7URHh7O9u3bmT59Ot9++y2HDh1CU1OTtWvXqur89ttvhIWFcebMGaZP\nn86AAQNYuXIl06ZNY/Xq1YSHh6vaX7lyJWvWrGHFihUMHDiQadOmcfDgQa5evcqff/5ZzM/Ip0WM\n1AtFlpyczO7du4mLi8PZ2ZkmTZr8p3Y0NfNWdH12CS4uLo6GnWqCvilBNzwJvdOUhJQKAEgFDJxr\naSox0w7jwTUfGtfOwu/AAuIfWpLlOZ6ZC3cAefPfCxNy5g6VNXQxr1AKJTl49+vElaDrhIWF/afz\nEQRBED49X3zxBXv27FE9XrlyJVFRUezdu/edJ1GoWrUq5ubmqsA9NDSUuLg41UKI7u7uqm1Xr14l\nMTEx39QbOzs7VX0AU1NT7O3tiYiIUJVt375d9UXh+Wk0zZo1Y9KkSap1hbZt24ahoSEtW7ZUq2dn\nZ4eFhQUnTpxgwIABb/+J+ESJoF4okgcPHuDp6cnt27dVZaNGjWLBggUv3e/o0aNs3ryZrKwsWrdu\njbe3N97e3uzfv5+xY8fy24IlJMjrY+GyglP7XVAq5QW2o5MbRnrUPho5ZdC1pQVTf/4R4uMZ8ttW\nshPr4+/vz/DhwwEoXbo08+fPL7RPFStW5PTeE3QelneDUHhsEEh55YIgCILwKhEREezZswcdHR1O\nnDiBJEl4enqyb98+IiIisLUtfJpocWnQoAGHDx8mNzcXf39/jIyMqFGjhmrbd999h1KpVM2nf/Em\n2YL+BpqYmJCQkKB6HBYWxpUrVzAzM8tXV5IkYmNjgbxR/5SUFCwsLF5aT3g7RFAvFMnQoUO5ffs2\n1apVo0GDBqxfv56FCxfSqlUrWrduXeA+q1evVvsmvn79ei5fvsycOXO4Fp7IHJ9Uok37IGmaEfnC\n+1uZkwJP9qKZepz1i/tiUVpJ69aTOHkvg5N/5dVp06YNXbp0oUOHDixdupQrV65gaWnJkCFDXhqg\n//zzz9Srd4jTe0Owcy7PxaPhWJWzYsSIEW/8PAmCIAgfv2eBbvny5XFzcwOgQoUKhIeH8+TJk/cS\n1Ht4eLBnzx6CgoLw9/enXr16qisG7u7upKSkcPnyZfz9/dHS0qJu3bpq+8vlBQ+qPUtWAXmJLpo2\nbcqECRPUyp+xsbFR1TM1NWXr1q0F1jMxMfnP5ynkJ4J6oUjOnTsH5C1yYW9vj76+PosWLeLcuXMF\nBvUKhUIVJI8ZMwYzMzMmTpzI3KXHCc1O5u/Ab8kt+2LiSWjolItLxRCyY7dhbCDH23us6gads2fP\nsnz5chITE3F1dWXEiBHI5XLkcjmjR49+7XOpUaMGZ8+eZebMmUSei6SxSxumTp1a4IiCIAiCILzI\nzs4OQ0NDbt26RefOnZHJZISHh2NgYPDS6Z/F6dm8+lOnTnH69Gn69Omj2mZvb0/p0qVV2+rUqYO2\ntnaRj2Fra0tKSsorp9/a2tpy9OhR3Nzc0NPTK/JxhKIRQb1QJMbGxsTExHD48GFMTExUQX5h2WIe\nPXpEWloaFhYWzJkzj79Og0G91iQra7H/rHrdChbwVWvo6wW25eWA0///qKtduzbLly9/K+dTo0YN\nNm3a9FbaEgRBED4thoaG+Pj40LNnT9W8ei0tLdatW4eRkdF76ZOzszN6enrs2LGDiIgItfnxAPXr\n12fr1q3cv3+fHj16/Kdj9OjRgylTpnDo0CHatFFf2+Xp06doaWmhpaVFjx49WLp0KdOmTWP27Nlq\n9XJzc0lOTqZUqVL/qQ9CfiKoF4pk5MiRDB06lBEjRqhG4M3NzenZs2eB9SUtC+QWXxJj6EmZlk9J\nVhgAtdTqeH4Go3pAW3eQy8XKrIIgCMKHo1OnTly6dIlDhw6hVCpp06YNjo6O760/crkcNzc3Tpw4\ngYaGhmpa0DMNGjRg/PjxBc6nf10//PAD+/bto2PHjnz11VfUqVOH9PR0rl69ys6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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2436,7 +2342,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 43, "metadata": { "collapsed": false, "scrolled": true @@ -2446,7 +2352,7 @@ "data": { "image/png": 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MnDkT48aNQ//+/XH//ffj29/+Nj744INohEBE1EVbm4oVstyHs+N0QRZLFiyW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\naV/Ksa0Nha0o1wY/f/GN+Yt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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2472,7 +2378,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 44, "metadata": { "collapsed": false, "scrolled": true @@ -2482,7 +2388,7 @@ "data": { "image/png": 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vr+/Nt9lsnHrqqfzrX/+iuLiYtLQ0ioqKGDJkyFGv+7Of/YyDBw9y/vnnk5+f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\nQP3sJV9VVTLrrOGocVxvfODAAQAyMjJ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2525,7 +2431,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 45, "metadata": { "collapsed": false }, @@ -2534,7 +2440,7 @@ "data": { "image/png": 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WY8eO8e677wKXN3mhTqfj5ptvZt68eRw8eJDnnnuO1atXs3379kuWuXfvXg4e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\nO+gsfFdX932gY/x7iEkg4uLiuqhSIiLxiBK8W1p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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2567,21 +2473,23 @@ "\n", "The covariance will always incorporate all of the information available, including the effects of the geometry of the problem. This formulation makes it particularly easy to see what is happening, but the same thing occurs if one sensor gives you position and a second sensor gives you velocity, or if two sensors provide measurements of position.\n", "\n", - "One final thing before we move on: sensor fusion is a vast topic, and my coverage is simplistic to the point of being misleading. For example, the Kalman Filter Math chapter talks about using iterated least squares to determine the position from a set of pseudorange readings from the satellites without using a Kalman filter. That is the usual but not exclusive way this computation is done in GPS receivers. If you are a hobbiest my coverage may get you started. A commercial grade filter requires very careful design of the fusion process. That is the topic of several books, and you will have to further your education by finding one that covers your domain. " + "One final thing before we move on: sensor fusion is a vast topic, and my coverage is simplistic to the point of being misleading. For example, GPS uses iterated least squares to determine the position from a set of pseudorange readings from the satellites without using a Kalman filter. I cover this topic in the supporting notebook [**Iterative Least Squares for Sensor Fusion**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/Supporting_Notebooks/Iterative-Least-Squares-for-Sensor-Fusion.ipynb)\n", + "\n", + "That is the usual but not exclusive way this computation is done in GPS receivers. If you are a hobbiest my coverage may get you started. A commercial grade filter requires very careful design of the fusion process. That is the topic of several books, and you will have to further your education by finding one that covers your domain. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Exercise: Can you Kalman Filter GPS outputs?" + "### Exercise: Can you Filter GPS outputs?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "In the section above I have you apply a Kalman filter to 'GPS-like' sensor. Can you apply a Kalman filter to the output of a commercial Kalman filter? In other words, will the output of your filter be better than, worse than, or equal to the GPS's output?" + "In the section above I have you apply a Kalman filter to a 'GPS-like' sensor. Can you apply a Kalman filter to the output of a commercial Kalman filter? In other words, will the output of your filter be better than, worse than, or equal to the GPS's output?" ] }, { @@ -2599,7 +2507,7 @@ "\n", "Well, what are the characteristics of that data stream, and more importantly, what are the fundamental requirements of the input to the Kalman filter?\n", "\n", - "Inputs to the Kalman filter must be *Gaussian* and *time independent*. The output of the GPS is *time dependent* because the filter bases its current estimate on the recursive estimates of all previous measurements. Hence, the signal is not white, it is not time independent, and if you pass that data into a Kalman filter you have violated the mathematical requirements of the filter. So, the answer is no, you cannot get better estimates by running a KF on the output of a commercial GPS. \n", + "Inputs to the Kalman filter must be *Gaussian* and *time independent*. this is because we imposed the requirement of the Markov property: the current state is dependent only on the previous state and current inputs. This makes the recursive form of the filter possible. The output of the GPS is *time dependent* because the filter bases its current estimate on the recursive estimates of all previous measurements. Hence, the signal is not white, it is not time independent, and if you pass that data into a Kalman filter you have violated the mathematical requirements of the filter. So, the answer is no, you cannot get better estimates by running a KF on the output of a commercial GPS. \n", "\n", "Another way to think of it is that Kalman filters are optimal in a least squares sense. There is no way to take an optimal solution, pass it through a filter, any filter, and get a 'more optimal' answer because it is a logical impossibility. At best the signal will be unchanged, in which case it will still be optimal, or it will be changed, and hence no longer optimal.\n", "\n", @@ -2610,7 +2518,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 46, "metadata": { "collapsed": false, "scrolled": false @@ -2620,7 +2528,7 @@ "data": { "image/png": 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yLt27rE33L+t61Ht3r8WVyheHP77MRvGCZe75HMMwrHPSevToQdeuXalbty4A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xMaFt27bUrFlTq1dVlet3DUnpsb/h+AX483Li3qMvYmsNNd6G8iXB0gIszAyJ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Aq1evJjQ0lNmzZwPQrl07rl+/rp7foUOHVNvRarUMGTKEIUOGZCgeIYTICElY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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2652,7 +2560,7 @@ "(5.0, 0.02)" ] }, - "execution_count": 47, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -2690,7 +2598,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 47, "metadata": { "collapsed": false }, @@ -2699,7 +2607,7 @@ "data": { "image/png": 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yLt27rE33L+t61Ht3r8WVyheHP77MRvGCZe75HMMwrHPSevToQdeuXalbty4A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JdvuDj8vn70hKq4Y4flYsAdmyZqxEzjAMvLODd3Yont9RZ7fbuXjxIgEBAQB8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\nhf9Nh7tp98o7hN7m3LYh7DCcxd7Jic6dqjF5cjUUsGI7zF8NGw+Ykla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uno2VqiWxGSa4T223g6HfFDh6Xr8Nz1YwZQDYWmc9UU1KStK6jg4YMIC3336b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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2769,7 +2677,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 48, "metadata": { "collapsed": false }, @@ -2811,7 +2719,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 49, "metadata": { "collapsed": false, "scrolled": true @@ -2821,14 +2729,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "std: 40.386\n" + "std: 0.523\n" ] }, { "data": { "image/png": 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Jj39jwrBabPthLDevHePiX9e6d++OjaUBWq2Wnj17snHjRs6dO4e7uzv+/v65\n8wYIIV6LBPVCCCFEPhATEwNAiRIlKF++PKqqUrhwYUJDQ7lx4wYYF6d+Jx/23ipCbIV+KFozAuNB\nsc1wOTxqYjBK3DE+HOiGW5lYRrzXGpKTGd71JtNG7WbTpk2EhoZSpUoVOnbsyNKlSwFISEhAVVX9\ntwIGBhmdIiWEyG+yLag/ceIE0dHReHl5YWHxakc9CyGEEAVVtWrVMDc35/Lly7Rv356EhCRC410w\nrzSBp3ZtUZQKTPX9O7dZuvLWRg9IjTpI/INf6dbKERuzBFavXs2yqf/L07t3b8qWLQvAkCFD0pRv\n164dn376Kf7+/jg7OxMeHg5Ajx5y6qsQb4IsB/WzZ8/m999/Z/fu3fq0jh076r+ec3Jy4tixY5Qq\nVSr7WimEEEK8gSIiIti6dSvR0dHUrVsXLy8v/bWnT59y7949ihYtiq2tLfb29vj4rqP/h2v4Nagj\n2LVFqVaYxEzqNtQ9olsLO6Ju/8yeTROISX4IgJubG98u+wYbGxucnZ3ZsmULqqrSoUMHZsyYkWlb\ny5cvz9atW+nXrx8PHz6vq0+fPsyfPz+73g4hRA7KclC/fv162rRpo3+9c+dOdu7cyaRJk3Bzc2PM\nmDHMmjWL1atXZ2tDhRBCiDfJzZs3adKkCQ8ePNCneXt7M2fOHNasWcOoUaNISEhAMTCm63vfYOky\nmO1HO6It1zHDh1sNDXTYGVzGIuUoDVzjWDZ/FPb2xkAfTo4qw8WLF3FwcKBNmzaYmpoCMGPGjBcG\n8v/Upk0bHjx4QEhICHZ2djg6Or7emyCEyDVZDurv379PxYoV9a+3bNlC+fLlmTt3LgBBQUHZ/pR8\nWFgYn3zyCbt27SIuLo6yZcuyYsUKGjVqpM8zY8YMVq1aRVRUFHXr1mX58uVUrlw5W9shhBBC/FtD\nhw7lwYMHuLm5UadOHX744Qfmzp2Lk5MTY/4zA9WqJRZlupJg2ootgYUgMH0dxQo93yP+3QbQvLYG\nKws3IP3WkfXq1aNevXrZ0m5TU1NcXV2zpS4hRO7JclCvKAqpqan61/v376dr16761/+/Di87xMTE\n0LBhQ7y8vNi9ezeFCxfm1q1bODg46PPMnz+fxYsX4+fnR4UKFZg5cyYtWrQgODhY1vcLIYTIE6dP\nnwZg165dmFs5cjumKvtOa/He0AK19kgURcNTSDcr71IMejSD7k2hZgXQaOQkViHEy2U5qK9YsSLb\nt29n5MjxIlonAAAgAElEQVSR7Nmzh9DQ0DTLce7du4ednV22NXD+/Pk4OTnh66t/Oijdev2lS5fi\n7e1Np06dAPDz88PBwYH169czdOjQbGuLEEII8W+oqoqlQ32eptTBa5RCyGMVnfohihMkAMo/4nT1\n2V0cjQL4xacvtSuR5lRYIYT4NzI5Uy5z48ePZ//+/djZ2dGhQwcqV65M8+bN9dcPHDhAzZo1s62B\nO3bsoG7duvTq1YuiRYtSs2ZNli9frr8eEhJCWFgYLVq00KeZmpri5eXF8ePHs60dQggh3jwxMTHM\nnz+fUaNGsWjRIhISEnLsXs9SFI4HWvPBQpXSXeGx0z6UUnP481FRdGraIF1VtRB3AifVD6OgpvBH\naUa0/pM6rooE9EKIV5LlmfoePXpQqFAhfv31V2xsbBg1ahSGhs+riYyMpHDhwvTv3z/bGnjr1i2+\n+eYbPvroI7y9vblw4QKjR49GURRGjRpFWFgYiqJQtGjRNOWKFi2qf3o/M2fPns22duaH+4j8R8a+\n4JKxz3vR0dEMGTKEu3fv6tO+/fZbVq1alS1LM8Ojjbhy24Kz1w3YdzKe2NTKoDHNOLOqw5xgWngY\n0KQmXDnxLatXLuGBqgLQsmVLWrVqJT83bzgZv4IrN8a+fPnyL7yepaA+OTmZkydPUrJkSRYtWpTu\nur29PVu3bs1aC19Cp9Ph4eHB559/DkCNGjUIDg5m+fLljBo1KlvvJYQQ4u3x/fffc/fuXUqXLk2H\nDh3YsmULN27cYM2aNYwcOTLTcnfu3GHXrl0kJiZSs2ZNmjRpgjZVw9a9t/HdfJ0obSU01vVJNSyW\ntuA/vvu2NNNSv1IsnlViqO8ag63l/55Ha1ilDx3bvcOdO3coUqQIpUuXlhl6IcRryVJQb2hoSPPm\nzVm8ePFLPy1kl2LFiqV7Ct/V1ZVly5YB4OjoiKqqhIeH4+zsrM8THh7+0q24ateunf0N/j9/f2rL\n6fuI/EfGvuCSsc8/Hj9+DMCSJUvo0KED7u7uDBgwgKioqEzHJyAggAEDBvA02QSsGrLh91SKH7Aj\nIqk0z1JqgfXzfKkZlgYH62jCr/ugRP3K3Ts7sbUpBBTK/s6JfEX+3hdcuTn2f586nZksBfUajQYX\nFxfi4uJeq1FZ0bBhQ4KCgtKkBQUF6R+WLV26NI6Ojuzbtw93d3cAkpKSCAgIYOHChbnWTiGEEPlL\nsWLPZ9J9fX1xcnJi7dq1+vTIyEg++ugjAgICsLCwoO/AD3CtO5xBY27ytPwxFIvq/D31/jCTf/LU\n1HisNdeJfbCPqqXiWTCjBzbmSbRoMYP4+HiSEuPARnZgE0LkjiyvqR87diwLFy5k8ODBabaVzCkf\nffQRDRs2ZM6cOfTs2ZNz587x1VdfMW/ePH2ecePGMXfuXCpWrEj58uWZPXs2VlZW9O7dO8fbJ4QQ\nIn+aOHEiW7duZfv27Wzfvh0Aa2trRo0aRfNWXTj/pwVYjwJNY7y31kTZBpgPyvDgJwA18Sb1q6oM\n6Fyep48O8PGIVlRtUI8zoWe4cjeFhfPO8uTJE+Lj4ylVqlSu/BsphBB/y3JQn5CQgLm5OeXKlaNz\n586UKVMGMzOzNHkURWHChAnZ0sDatWuzfft2vL29mT17NiVLluTzzz9nxIgR+jwTJ04kKSmJ0aNH\n6w+f2rt3r+xRL4QQBYBWq2XWrFn4+fmRlJRE8+bN+eqrr6hevToBAQFMnTqVP28/wrZke6rWH0WX\n6YYEG+1HcTXItE6NoqNSiQTuXF5HfOg+erUrxcY1Swi6Y88ly55s27YN0NG4cWMGDx7MsGHD2Ldv\nHwC2trZs2LABjSbLG8wJIcQrU1T1r0fv/6V/80vqnwdU5Sf/vx7JxsYmR+8la+wKLhn7gkvGPveN\nGzeOpUuXpknz8PBg7/7f8T9uwI974MAf8MJ/ltRU1Pg/aFwTjvwyA2KPgS5eX9fBgwfp0aMHu3bt\n0hfx9PTkt99+w9zcnEuXLuHn54exsTGjR4+mePHiOdBTkV/J3/uCK6/W1GcUw2Z5pj4kJOT1WiSE\nEEK8hpSUFAwNDVEUhaSkJL7++msAfvnlF0qWdKFJx+mcjmyPUweVxOSM61BVHcrTC7iXi0UXfZhz\nh5dQvkxRDv0QhI9PN7799vkymkaNGvHFF19gYWHBL7/8gr+/Pzdu3KBUqVJ07NgRY2NjAKpXr65f\n8ikBvRAiL2Q5qP/naa5CCCFEbggMDGTQoEGcPXsWS0tLPvzwQ0aPHk2qTsGkSEuO3G7LZl8NMcW3\noEC6gN6tPDSpBU1qwpGdc1j05TTOXnx+zdLSEl9fXxRFYciQIQwZMiTd/Q0MDOjYsWPOd1QIIV5B\nloP6v924cYPDhw/z6NEj+vbti4uLC8nJyYSFheHo6KifvRBCCCFe15MnT2jWrBlhYWEAxCVZMOf7\nULZdjUBT9wnJGmsWbUxfrlIp6N8a+raEko7/ewS2Q6OpNG9aW7/7Ta9evShbtmxudUcIIbJdloN6\nnU7HiBEjWL16NaqqoigK9evX1wf11apVY9q0aXz88cc50V4hhBBvuZSUFPbs2cP9+/dxdXWlcePG\n/LTFn7DEajh6zKVoxX5c+vP5Q67XH5Pu0CdSHtOo8kMWTqqBeyUyPdSpTZs2tGnTJmc7I4QQuSTL\nQf2cOXPw8fHhs88+o1mzZtSvX19/zdLSkq5du7J161YJ6oUQQmRZfHw8rVu35vffT4KlO9g0p1gl\nBx4/64tSZSDhQPif6cs5FdLiYnOVsoWCGdrdBc+GHrnediGEyEtZDup9fX0ZPHgwn376KREREemu\nV6tWDX9//2xpnBBCiLdTamoqc+fOZdOmTWi1Wlq36UCHPrOY+uVhfo+cjKaeJ6rGEoCwxAwqUFNQ\nYwOoUORPtvkMxdXFEEVxA9xytR9CCJFfZDmov3//Ph4emc+AmJmZ5eqJs0IIId48H3w4nu/WXQDr\nLmDjxfXj9Vl6yhh4F8UOMtpr2cEqgvDg9RB9AGIPU9alCHt/OECpUpkdFyWEEAVHloN6R0dH7ty5\nk+n1P/74Q3bIEUIIAUB4eDiTJk3izLlrGNl7UanOMO5Gl+LklbkoVU1eWLZ4ERXD+KPcvrSa97uX\nYdXymVy82JjTp82wselL27ZtsbS0zKWeCCFE/pbloL5r166sWLGCAQMGYG9vD/zvIaTdu3ezZs0a\nJk2alL2tFEII8UYJi1DZdyqRsVN2EZU6CixroqQYcun4XxkyOMdQTbyJW5k4LhxdBrFHuP/sNgAm\nJiZ8OPw0ADVq1KBGjRq50wkhhHiDZDmonzFjBocPH6ZmzZp4enqiKApz5szB29ubM2fO4O7ujre3\nd060VQghRB7TarVcv34dRVGoWLEihoaGPE1SuXQTzt+AM4Fw7BLcvA9gBmaDyGxxjPo0kAqOYbjY\n32Pvz1MwSA3jV/+77N7diClTfiMsDMqXL8+3335L9erVc7GXQgjx5slyUG9tbc3x48dZtGgRmzdv\nxtTUlGPHjlG2bFlmzJjBhAkTMDU1zYm2CiGEyENBQUG079iDG6G2YFkbG6cmOLi04FaYCTrdi8sq\nClR0fsa10yuxUS6yYFpHRr7fleALWoL/yrN42TKcnJz0hz9ptVoMDV/5OBUhhChQXum3pampKZ9+\n+imffvppdrdHCCFEPhITr3L8Mhw5r2PZD3Ek2p1CKfR8LXwsEPsw43IGGi3lHSO5dno1VupF/jOs\nAUcP7uBayCFqNW3K+wM7UKvaKbZs2UJqaipt2rShcePGaeqQgF4IIf69LP/GfOedd5g8eTLNmjXL\n8PqhQ4f47LPPOHjw4Gs3TgghxOtJTU1l6dKl7NmzByMjI/r06UPfvn0zzKuqKiEP4bcTcXyz5g9u\nRziRQDmeL4DXgJF7JktpdKhPgzDRBlKmaAxBZ39AG3uaL3du5btnJ9m5cyczp/4EgJ2dHcuWLQOg\nVq1a1KpVKye6LYQQBU6Wg/rDhw/z/vvvZ3r90aNHHDly5LUaJYQQInsMGzYMHx8f/etdu3Zx//59\nJk6cyLwvlrDg2yPEpFbGxrk1inV9IuMMASugSaZ1Viypw8NVx9YfpxAfHkDJwjHcDQlkf0AAnp7d\nGD/+GgsXHuPo0aNs3boVHx8fzp8/T6FChRg6dKjskCaEEDkg27/bvH//PhYWFtldrRBCiCwKDAzE\nx8cHY2NjvvvuO+49jGPagj1M/k7h22P3uf1kJIrTOACiADI8YkSHGn+eEja3SYk4SNiNn4kJMeS3\nQzriw8OpWLEixsbGANy8eZMGDRpw69Yt4PlSTUNDQ4YNG5Yr/RVCiILsXwX1O3bsYMeOHfrXK1eu\nZP/+/enyRUVFsX//furWrZt9LRRCCPFKboXcBStPHKsPY9nhfly8CYrraHTAnUhQMthW0oB4tFHH\naF7PkvHDPTHTXqaxZx3MKlRgz7ZtdOy4j5s3bwJQoUIFduzYwZ49exg3bhzvvfceI0eOJCkpCVNT\nU3r16pW7HRZCiALsXwX1gYGBbN68GXi+J/2pU6f4448/0uRRFAULCwuaNGnC4sWLs7+lQgghXio8\nUmXPSdh9AvacbI5SrRX3VLh3I+P8pR2TaVLbmJCL6zj0yxxaNi3LruP+BCeU5F6DqWzYsAF4HsBX\nrlyZwMBArl69CkCVKlUwMjKiQoUKREVFMW/ePJKSknBycuKHH37A1dU1t7othBAF3r8K6r29vfV7\nz2s0GlavXk2fPn1ytGFCCCHS2717N9988w2xsbHUrNOMFp0mcuW2CeeC4FwQ/Png/3MbpCmrqlpI\nOE+zOqZE393JH4eXYly2EDrrehzbug5SUvjggwU8fhzOmTNnGDp0KAC2trZ88cUXABgZGeHm5pam\nXkVRmDFjBlOmTCEmJgZ7e3v9oYRCCCFyR5bX1OtethmxEEKIbKeqKotW7GL8rF/AujdY1SPgRGmW\nnXhxOWcHKFcomNQIf4pbBjOgb2dat27NvXt2NG3qy/Xr17l+/ToAkyZNom3btvpvXK9cuYKjoyMf\nfvghZcqUeWkbDQ0NKVSoUHZ0VwghRBa98oOy+/fv59ChQzx69IiPP/6YSpUqER8fz7lz56hevTq2\ntrbZ2U4hhHjrqKrKyZMnuXXrFqVLl6Z+/fr6GW6tVuX6XQi4CEfPw+HzEB7ZFqVs2xfXqUuGuONo\nYn7Dd3FP+nd1Q1EqAhXT5CtRogTnz59nx44dRERE4O7ujqenJwDm5uZMnjw5R/oshBAiZ2Q5qE9M\nTKRz587s27dPn9a7d28qVaqEsbEx3bp1Y/To0UybNi1bGyqEEG+T1NRUBgwYwPr168HAGsyrU6vR\nYNwaDuDynxqu3IKk5BfXoVFSSI27SHGbMB4E78SjiiHfLhzNksU/sGbNGrauvc6AbtszLW9lZUW/\nfv2yuWdCCCHyQgZ7H7zY5MmTOXz4MGvXruXOnTuoqqq/ZmxsTPfu3dm5c2e2NlIIId50UVFRPHz4\nEJ1OR2yCyshP/Vl/vDaamhdR6kajVDvK+ehB+P6q4ez1jAN6jS4GNXIHtezXMaH1ZsyvOMElDyoa\nLYHwVQzqVo2abpX1gXp4eHgu91IIIUReyXJQ/9NPP/HBBx/Qu3dvzMzM0l2vVKmSfo/inDB37lw0\nGg1jxoxJkz5jxgyKFy+Oubk5TZs2JTAwMMfaIIR4+92+fZulS5fy5Zdfcv78+Zfmv3v3Lm3atKFJ\nkya0bduWzz//HJ1OR1xcHJ269MbepQvF663Gst4FCrVW+f5YBxSncahm1TKtU312HzViG8Wefcme\nLx6xc/ppjP7swR/+/fliWk/iYiLo0qULrVq1AmD27Nl89tlnjB07FoDq1atnz5shhBAi38vy8psn\nT568cJsyRVFITEx8rUZl5uTJk6xatYoaNWqkSZ8/fz6LFy/Gz8+PChUqMHPmTFq0aEFwcLAchCWE\nyLJDhw7RoUMH4uPjgee7fn333XeZnqYdFxdHs2bN9Pu3JyTqmPLlQfZd9+TagyI8SvRFqWoCQBLA\nP/YbMDQAe9OHhIfso4qLlpCrO3j6+ASVyhUhMiqSh0GPmDN5F4cPH+bEiROsWrWK2NhYGjRowMiR\nI0lJSWHnzp0cO3ZMv/SxfPnyzJ49O0feHyGEEPlPloP6kiVLcu3atUyvHzt2jPLly79WozISExND\nv3798PX1ZcaMGWmuLV26FG9vbzp16gSAn58fDg4OrF+/Xr8lmxBC/Bupqan07duX+Ph4WrZsiYOD\nA2vXrmXUqFG0bt0aZ2dn/vzzT+7evUu5cuUoUaIE/r/u4maoNYVrLKJoxf4EPbAlVTXg6F9fWmZ0\nyFNRy1DCgtZDzAFIOkV4UhQAnXpO5vP9/nh4eHDixAkiIyMpWrQoR44cIT4+Hnd3d9zd3dPUZWBg\nwIEDB/D19SUoKIiSJUvy3nvvYWNjk9NvlxBCiHwiy0F93759WbBgAZ07d9bP2P+9W8OKFSvYvHkz\nX375Zfa2Ehg2bBg9evSgcePGadJDQkIICwujRYsW+jRTU1O8vLw4fvy4BPVCiCx58OABoaGh2NnZ\nsWvXLgwMDAgJCeH333/n3LlzfPbZZ6xcuRIMC6PYtaKa13hCItuj1OhBBBBxP+N6yzun0tTdgKM7\np3Pt5DcsWbuc5OSijB17iqikKGxtbVm8eDF2dnYAJCUlodVqSUhI0G8lrNFkvmLS2NiY4cOHZ/fb\nIYQQ4g2R5aDe29ubU6dO0aRJEypUqICiKIwZM4aIiAjCwsJo374948aNy9ZGrlq1ilu3bulPNvx/\nYWFhKIpC0aJF06QXLVqUhw8fZms7hBD524MHD9i3bx86nY5mzZpRqlSpLNdha2uLoihERUVx6NAh\nHB0dn+/jrjHHZ+sDdhwuh1LjLJi7gaLhcmjG9ahPA3EwCcTO4BJBZ1bx9K4Rf9xy5NrZs5ibm9Ow\nYUOcnZ3p168f0dHR2NjYoNFoiIqKwsHBgUuXLuHs7ExcXBwA7du3x9zc/HXeHiGEEG+xLAf1xsbG\n7Nq1i/Xr17N582YURUGr1VKrVi169uxJv379svUkweDgYCZPnszvv//+wlmqV3H27NlsrS+v7yPy\nHxn73HP27FnGjx9PQkIC8Pwbu3nz5tGwYUO0Wi1nzpzh8ePHlC1blipVqrywro4dO7J9+3ZadJ4K\ndq2g2FY0Ferxyw0jlOIZlzE1jCPx4XaI/g1i9mNvpWXZN99gbu7B2LHrCAkJ4f79+5iZmTFr1izC\nwsIICwvLsK4FCxYwadIkQkOff2Lw8PBg7Nix8vP0hpBxKrhk7Auu3Bj7ly1vV9T/35MyH/Lz82Pw\n4MFpAvrU1FQURcHAwIArV65QqVIlzpw5k2adabt27ShSpAi+vr5p6ouJidH/+caNGznfASFEjnv2\n7Bnt27cnKiqKWrVqYWhoyOnTp7G0tGTTpk1MnjyZCxcu6PP36tWL//znPxlOQNx8aMquM7ZsO2pM\ngrZIpvc00KjYG9/gUdAaGlV/yoIZfbl8+SKXLl3CwsKCpk2b6pfSJCcnc/nyZZKSknB1dcXe3v6l\nfdJqtTx8+BATExMcHByydbJECCHEm+f/g/qMnpl6paD+8OHD+Pj4cOvWLaKiovhnFYqicPXq1Vdo\nbnqxsbHcv592keqgQYOoUKECkydPxtXVFScnJ8aMGcMnn3wCPF+LWrRoURYuXJhut4r/D+pz+iGy\nvz+11a5dO0fvI/IfGfvcdfnyZapXr46zszN37txBURRcXV0JCgqiW7du/Pzzzzg4ONC4cWN27NhB\ncnIyP/30E927d0er1XLiXBj7LxRiW4ApV16wI29xu0juX/0RYg5Qyu4Od25dBmD37t20bt0akLEv\nyGTsCy4Z+4IrN8f+ZTFslpff/P21sKmpKRUrVsTBweH1WvgS1tbWVK5cOU2ahYUF9vb2+gd1x40b\nx9y5c6lYsaJ+GzcrKyt69+6do20TQuQPVlZWAERERBAcHIyxsbF+6cqlS5cA2LBhA++88w7Tps3k\ns4XbWL5F5buDoRz+IxmdUckM67W1gk5e0NIDmtYCBzt7pk59wty5u7gTpcPExISFCxfqA3ohhBAi\nr7xSUN+wYUN27tyZZ9ul/fNr6IkTJ5KUlMTo0aOJioqibt267N27V/aoF6KAKFWqFK1bt2bPnj1p\nztFo1KgRWq0WTMuz+Ccj5mzXcfTcBBS3aRy9B9wDjNLWZahJpmtTY3q3gFZ1wcQ47e+b2bNn8/HH\nH/PgwQNKlSql/0AhhBBC5KUsB/WJiYn07ds3T/c/PnjwYLq0adOm6Q9dEUIULIqisGnTJkaOHMmW\nLVvQqSqNWn1Ireaz2LA3CaWWHb9e/jt3+pOwzUxUqpWK5JT/OOyMTrIh4OYL72dnZ6dfLy+EEELk\nB1kO6t955x0uXryYE20RQohXZm1tjfdnayla90e2HYFDYQqHNkFGQXwhq2cUt77NxWMraNXAmp0b\nZ3H9WijVf1hHaqFCud52IYQQ4nVlOaj/+uuvadmyJfPmzWPw4ME5vqZeCPH2UlUVX19f/P39MTAw\noHv37vTo0SNLdcQmqGzcDz7+cDoQIP0uMabG0LIutK2bTOv6xpQoasLFi0m4u3/Nb1t0NPY6QFBQ\nEICsjxdCCPFGynJQX7x4cQYPHsykSZOYPHkyRkZG6faPVxRFv1e0EEJkZuLEiSxYsED/+ueffyYk\nJIRJkya9sFxyisrJq+DrD5sPwdOk9HlsLKF9w+cPuraqCxZmCmCiv+7m5saqVasYMWIEJ06cAMDT\n05OvvvoqW/omhMifVFUlOTk53c59r+Pvg+6SkjL4ZSTeatk19sbGxq99HlOWg/rJkyczb948ihcv\nTu3atfN0bb0Q4s2QkJDAkiVLCAwMpHjx4nz44YfodDoWLFiARqNh0aJFPH36lE8//ZQpU6YwfPhw\nbG1tAYiJV7lwAy7cgIs34HwwBN6GFG36+xgbQadGMLAtNKsNxkYv3tt98ODBtG7dmosXL2Jvb0/t\n2rUxMDDIgXdACJEf6HQ6nj17hrGxcbb+XTc1Nc22usSbJTvGXlVVkpKSMDExea3APstB/cqVK2nX\nrh3btm3L9hNehRBvn4SEBBo1asT58+f1ab6+vixZsgR4vrdvnwFjuHYHCq+N5EmcFQNmqUQ+VQl5\nCKERL79HtbIwuB30awWFbLJ2SJOTkxNOTk5ZKiOEeDMlJydjamoqh7mJfEVRFExNTXn27NlrfUjI\nclCfkpJC27ZtJaAXQmQoNjaW2NhYihUrhoGBAStWrOD8+fO4uLjg7e3Njz/+yLFjx1j140Fw+pgz\niZ1xbKeiooDtFyi24H/q5fdRk0Igei88Ws1HQ0czqMfAnO+cEOKNJwG9yI+y4+cyy5F5u3btOHLk\nyGvfWAjxdklOTmbo0KHY2tpSokQJXFxcCAgI0D+AOnbsOOo2HUqFZuugxgWOxn2P4vIlWDV4HtBn\nwtAAapSDQW3h3Sr7Ua80ob5BO8J3WzJ3aDTEn2XZsqW51EshhBAif8ryTP2UKVPo3bs3w4YNY8iQ\nIZQsWTLDdWmyK44QBcsnn3zC999/Dzw/vvr+/fu8264DbXp8Bi4L+WRTF5I3A5RAsSjxj9Kp2BqG\n4FrGmMZ1S1LGCVyKqSREXEZJeYBbjaqULFmSSZP24x97FK+Gn+Dg4EDr1q3x9vYmKioqt7srhBBC\n5CtZDuorV64MwMWLF1m9enWm+VJTU1+9VUKIN87atWsB+G3vYZJMGzLi098IfVabzYEOKE6Q/I/8\nxoY6WtbV0LkxtG9oQGHb8vprcXFxdO7cmQMHDgCg0WhYvHgxdevWBWDZsmVER0frD6Lz8PDI+Q4K\nIYQQ+ViWg/pp06bJejQhBM+ePcPAwABDQ0PCIlTizXtAxWZ0nuNJYrIGaItilLaMRk3Ayew8H/R2\nYlTvMlhZZPy7ZMKECRw4cABbW1uqVatGQEAAY8eOJSAggKFDh/Lf9u48LqrqfeD45w77MuKCgBsq\nJATuQqKCCC6klrumuIaampHbN01NDU0xK7M0RbPMfV/bLElxQ/26JRaaqLjgHiCyyD7394c/5yuB\nWwID+rxfL1465557z3PnwswzZ849Z/HixSxcuBAAV1dX/U23QgghCs+ePXvw9/dn9+7d+Pr6Gjqc\np5aQkMDw4cPZtWsXiYmJzJkzh/r16+c7p5CQEKZNm4ZOpzNwxM/mqZP6kJCQIghDCFHSXLp0iZCQ\nEM6ePUv16tWZPHkyL7/8MpcvX6Z//yD2HruDUv41yjv3JyHTCarMQwHS/9ElX6FMNl39TejiC/6N\nrDAzbf7Ytn/55RcAfv75Z5o2bcqwYcNYtGgR4eHhLFq0iO7duxMVFYWdnR1du3ZFq9UWwTMghBCl\nx7JlywgKCuLQoUN5vr1MS0ujbdu2HD58mDVr1tC1a9enOm5p7sh9//33+emnnwgJCaFy5cp4enpy\n/fr1fOekKEq+srCwMCwtLRkwoPRMwvDUSb0Q4vl35coVvLy8uHnzJgCRBw6zbectBv9nOd9uiCVV\n2YRSzwYVSMjMv7+afhZN0g+8/5Yr099/DY3m6d4UTE1NAbh16xY6nY5bt24BYGJigqIoBAQEEBAQ\n8EznKIQQz5t/JqZ3796lXbt2HD58mLVr19KlSxcDRWYYe/bs4dVXX+W9997Tl7m4uJCenq5/n3mY\nBQsWULFiRUnqhRAlS2JiIqNHj2bv3r1YWVnx1ltvMWLECBRFITExkR9//JHU1FSaNWtGgwYNmP35\nF9xMq0a1plMpX7M7f1604i5mzN0KmDjkm6tGVXNoXk+hQ3OFqpYn0Jpcp0GDnlStWvVfxdunTx9C\nQkLo3LkzFSpUICEhATMzM7p16/bMz4UQQrwI7if0//3vf1/IhB7udQwVtEjq4xL6opSRkVFki5XJ\nZPNCPOeysrJ49dVXWb58ORcvXiQ6OppRo0YRGhrK6dOnqVu3LgMGDOCd0aE0enUeHr3OEHZ4Ckq9\nw2JWQyQAACAASURBVFxRhnDyYnl0mOU7bqUK0LNVLiYXg+CwHetD4hnbx4jALh68/vrr/zqhh3sr\nV7/77rtoNBoSEhKwtbVl8+bNuLm5PctTIYQQL4T09HTat2/PoUOHCkzo//jjDwYOHMhLL72EhYUF\nFStWJDAwkLi4uMce+80338TCwoK4uDhef/11tFotVapUYd68eQBER0fTunVrrK2tqV69un4Shftu\n377N2LFjqV+/PmXKlEGr1eLv78/+/fvz1Lt06RIajYZPPvmEb775hpdeeglzc3MaN27M0aNHHxnj\nsmXL0Gg0pKamsnTpUjQajX6mxt27d6PRaNi7d+9D969ZsybR0dH6uhqNBicnJ/32rKwspk6diouL\nC+bm5lStWpUxY8aQnp6e5zgajYbhw4ezfv166tWrh5mZGevXr3/sc/xvSU+9EM+RgwcPMmHCBC5e\nvMhLL73EJ598wvXr1zl69CiVK1dm27ZtnDx5kkGDBjHz00Us/f4O18wmYN6kHZmaey9Yvz/kNV1N\nP4dTxWvERa8mO2Enbt41Of3932Rdi8LFxQV7e/tCOw9jY2Pmzp3L9OnTSUxMpEqVKpiYmDx+RyGE\neMGlpaXRvn17Dh48+NAe+vDwcGJiYhgwYACVK1fm/PnzhIWFceTIEf78889H9iQrioKqqrRv3x4f\nHx8+++wzVq1axahRo9BqtUyePJnevXvTtWtXFi5cSFBQEM2aNdMnxbGxsWzevJk33ngDJycnkpKS\n+Pbbb2nTpg1HjhyhTp06edpbu3YtaWlpDBs2DEVRmDVrFt26dSM2NrbAKdUBWrRowcqVKxk0aBBe\nXl4MGTIkT/yPu0/gyy+/JDg4GK1Wy6RJk1BVFWtra/32zp07s2/fPoYMGYKbmxunT59m/vz5nDp1\nSn9P2H179uxh48aNBAcH4+DgwMsvv/zItp+FJPVClFA6nY6lS5dy6NAhypYty8CBAx/5YnD8+HH8\n/f3JzLw3yP3SpUv4+voyYcIEABo3aU58jgfRqQ1Q6tUjzaoh5xUNSiUoYFg8Rrm3yEnYDknhcCeC\nyhUV9v5wmAMHWtOv3zJ27jwPgIODA+vWrSuSm6nKlClDmTJlCv24QgjxJEK+VZm2pOiOP2UghAwq\nvNdOVVUZOHAg165de+SQm+HDhzNmzJg8ZR07dqRZs2Zs3ryZ3r17P7Kd7OxsAgMDmThxIgC9evWi\ncuXKDB48mJUrV9KrVy8AWrduzcsvv8zSpUuZNm0aAPXq1eP8+fN5jjdkyBBcXV2ZO3cuX3/9dZ5t\nV65c4dy5c/r3AhcXFzp37syvv/5K+/btC4yvRo0a1KhRg6FDh+Lk5PTY8/mnjh078sEHH+i/wXjQ\n6tWr2bFjB7t378bHx0df7unpSd++ffntt99o3bq1vvzMmTP8/vvv1K1b96li+Ddk+I0QJZCqqvTt\n25dBgwaxePFiPv30Uzw8PDhw4MBD95k9ezaZmZm88cYbREdH06FDB9LSFX44YA61VrHt6iLa/wfm\nrDMCaw8UJe+fv6mximXWAdSL4/ikTzg3fzZlUq/z9GyVy7jR/Th27BhVqlShR48e/PXXX6xYsYJ1\n69YRHR1NgwYNivopEUII8QRu3bqFubk5jo6OD63zYE98WloaiYmJvPTSS5QtW5Zjx449UTuDBg3S\n/9/GxgZXV1fMzc31CT3cS8DLli1LbGysvuzBb10zMzNJTEwkOzubV155pcC2u3fvnqdzp3nz5qiq\nmueYxWnDhg24uLjg5uZGQkKC/qd583szu0VEROSp36xZs2JJ6EF66oUokX799VfWrFmj/+ovMjKS\n77//nrfffpuoqKgC97k/Q0z7jv357wU3rljPh8a2HE4yR6mYv75GUbG3iuPaXyvhzi4yUw6QqcvA\nycmJof2moNVq+eijjwps634viBBCiJJDURQWLlzIe++9R9u2bdm7d2+B9yIlJSXx/vvvs2nTJhIT\nE/Psf+fOnce2Y2Jikm/IpY2NDVWqVMlX18bGJs+q36qqMmvWLBYvXsyFCxfy1H1w3Pp91arlXYG8\nbNmyAAZbSTwmJoYzZ85QsWL+N1ZFUfTvxfc5OzsXV2iS1AtREp06dQqAwMBAxo0bR3JyMjY2Npw+\nfRpVVVm+fDlLly4lIyOD1q1bM2DIJHLt3oba4wma78u96Wmq8o/OeMqaJ+Be6TxvdnGkx6sOWJlX\nYfLkVBYuPE6aUS7evn4sWbJE5n0XQgjuDY0JGfT4eiWJq6srO3bswM/Pj4CAAPbt25evE6ZHjx4c\nPHiQ9957jwYNGqDValEUhZ49ez7RAkwaTcEDPR42xl1VVf3/Q0NDmTx5MkFBQcyYMYMKFSpgZGRE\naGhogb3vT3LM4qTT6XB3d2fu3LkFxlC5cuU8jy0sLIorNEnqhSiJ7vd2bN++nZ07d7Jr1y7g3ovF\nZ599xrhx74NlbSjXgUPfd2DGLlOgC0r+mbuo46Sjm7+Gri2gjlMFFMX2ga3GzJw5k9DQUFRVfegL\ntRBCiNKjfv36/PjjjwQEBNCmTRv27duHg4MDcK+XfufOnUybNo1Jkybp98nMzCyW3u+NGzfi7+/P\nt99+m6d8ypQpRd7203jYfWLOzs76e9hKGnkHF6IE6tSpEx4eHsTFxdG6dWtCQ0PBwo3mPVYz4Tsn\neOUGSoOTKNVnoFi/km//StYX6dLoIH8sz+TkCiM+HKhQ1/nhd/wriiIJvRBCPEe8vb3ZtGkTly9f\nJiAgQJ+w3+/5/meP/Oeff/5EvfTPysjIKF8P94EDBzh48GCRt/00rKysCvyQ07NnT27cuEFYWFi+\nbVlZWaSmphZHeAWSnnohisnWrVtZu3YtOTk5tG/fnqCgoIcm2ebm5uzYsZP+I1Zx8FxNUo0ak015\nVh0AypF/8SddNg1qJjK0hz2dmkMl25pAzaI+JSGEECXIP5Pltm3bsnLlSgIDA2nbti07d+5Eq9Xi\n5+fHJ598QmZmJtWrV2f//v3s3bsXW1vbxx7zWXXs2JGQkBAGDBhA8+bNiYmJYfHixdSuXbvYEuIn\nOSdPT0/CwsKYNm0aLi4uWFtb8/rrr9O3b1/9FJV79uzBx8cHVVX566+/2LBhAxs3bsTX17cYziK/\nEp/Uz5w5ky1btnDmzBnMzMxo0qQJM2fOpHbt2nnqhYSEsHjxYm7fvo2Xlxfz58/H3d3dQFELkdcX\nX3zB6NGj9Y83bdpEdHQ0s2fPzlf34nWVJT/Cdz+V4erfb0PBwwkxM0rhpYpXOB35Mbnx37P8633U\nretQVKcghBCihCuoo6hHjx4kJyczZMgQOnXqxPbt21m9ejWjRo3i66+/Jjs7mxYtWrBr1y5at26d\n7xgFHfNR3/oWVPZg+YQJE0hPT2fVqlVs3LiROnXqsG7dOtasWZNvQaiHzSn/JHPNP27/x5VNmTKF\nK1euMGfOHJKTk6levTqvv/46iqKwZcsWvvjiC5YtW8b333+PhYUFTk5OBAcHU69evaeOs7AoqqHu\nNHhC7dq1IzAwEE9PT1RVZfLkyRw8eJDTp0/r74CeNWsWoaGhLFu2DBcXF6ZOncr+/fuJiYnBysoq\nz/EevKu7oKWDC9P9Fc88PT2LtB3x7LKzs7l27RoVKlTIs8DEv/XgtU9NTaVChQpkZWUREhKCjY0N\n7733Hrm5uZw7dw5nZ2eSUlTCj8C3P0D4ESjor7KcFlo0hHKaKJbOfRNd6kngXsXRo0fz+eefP3Pc\n4tnJ3/2LS659yZeRkfHIhZWEMKTH/X4+Loct8T3127dvz/N4xYoV2NjYEBkZyWuvvQbcW/lrwoQJ\ndO7cGbi3PLCdnR2rV6/mrbfeKvaYRemyZcsWBg0axO3btzEyMuI///kPM2fOLLQx5levXiUrK4uq\nVasyNHgKJ86CoxdcuGFOt8nluJmicjOx4H0rloX+7aB3ANR/CTQaBWjAWx0WsmrVKjIyMmjVqhU9\ne/YslFiFEEIIUTqV+KT+n5KTk9HpdJQrVw6ACxcucOPGDdq0aaOvY25ujq+vLwcOHJCkXjzS8ePH\neeONN8jJyaFChQokJCTwySefYG9vn2+1vSeRmZnJF198wW+//UbZsmWZOnUqWRpHjKqN50rZDlTu\neL/mSBQHOHkp/zEUVAK8FAZ3gA4+YGqS/6u7Jk2a0KRJk6eOTwghhBDPp1I33cXIkSNp1KgRTZs2\nBeDGjRsoipJvEQR7e3tu3LhhiBBFKbJhwwZycnLo27cvf//9NytWrADQ//s0srOzadu2LePHT+C3\ngwls/G9d6vZVaTTICl21UBRt04fuq+oyUNOiUOOmoYlyIbTfCbr5KwUm9EIIIYQQ/1SqeurHjBnD\ngQMHiIyMLJQbD+6PfyxqxdWOeHpxcXHAvam9jh07ph+vlpyc/MTXLScXYq5asvrHK+y+MRKN1yZU\no3vfJOUfGp+LllM4OdzFz6sSP238nLMnf2BoUDuC3uzPhx8e5NdfzzNr1izee++9QjpLYQjyd//i\nkmtfclWvXl3G1IsSKyUlhT///POh22vVqvXI/UtNUj969GjWr1/P7t27qV69ur7cwcEBVVW5efMm\nVatW1ZffvHlTv9CCEA/TpEkTVq1axZo1a/jrr784c+aMvrwgqgq3kkzYvvcmP0RcITGrFhmmHuSq\nFoAbSvkCEnldOr71M/Grdxuf2ncoa5XLvT+9vwlfvhMyL+D2sgtGRkbUqlWLX3/9lYyMjCI8ayGE\nEEI8b0pFUj9y5Eg2bNjA7t27831KqVmzJg4ODoSHh+Ph4QHcu3t43759BU4X+KCinqFAZkIo+e7P\nTjNx4kSOHz8OwGuvvcbixd+QmmlO7FU4fxX+iIXfz8DvZyE+6YEDmFBQdzzWZmnYqEe4cvIrGjrd\nYvfCfUC5fPXatWtHdHQ006dPp1WrVnz//fcAdO3aVX5vSin5u39xybUv+aTDRJRkWq32ka8fD85+\nU5ASn9S/8847rFy5km3btmFjY8PNmzcBsLa21k9XOWrUKGbOnImrqyu1atVi+vTpaLVaAgMDDRm6\nKCXGjx9PvSZ9+e6HDBLuVuBKWlkcOkJq+pMfQ82Mo6FTMvGxW4g7tYqU9DOkcG/lvFmh2x+639Sp\nUzl27BgRERGsW7cOgMGDB9OvX79nPCshhBBCvEhKfFIfFhaGoii0atUqT/mHH37IlClTABg3bhwZ\nGRkEBwfrF5/asWNHvjnqhXiQqqrsi4JZK2D7oSpPvJ+iS0GXcox+XerQxtuWE3u/4vOZI/DzHc2H\niz8kJCSRvXutsLGxYdq0afj4+Dz0WJaWluzYsYOdO3dy9epVXn75ZZo2bVqsi1UIIYQQovQr8Um9\nTqd7onpTpkzRJ/nixaXT6Zg3bx7bt2/HxMSEwMBAevfuDcC1a9dYvnw58fGJKOVf58Cl5hx8+P0o\nGCt3yU6NgYxYSI+BtN9p3bQCJrlxbD/0E1fs/El26MbaZR8D4Orqio2NDXPmzHmqr+GNjY159dVX\nn/3khRBCCPHCKvFJvRBPY+jQoXzzzTf6xz/++CNxcXG82q4T/q+PISnnZbAPQrGsk2c/RYHu/tDZ\nF5yrAJkX8GrkjIWFBREREahqFfz8pvLbj5mEh4dz6NABIiIiiIiIAMDHx4egoKDiPFUhhBBCCD1J\n6sVz4/Tp03zzzTeYmpoy7ZMVnDhvydofLzBxTRMmfu+EWu0n/jmoxVijY8BrGsb2BhfH/209fDge\nAEdHRxo3bgxA1apVOX/+POXKleP48eOEhYVx48YN6tWrR3BwMKampsV1qkIIIYQQeUhSL0qEy5cv\nc+jQIczNzfH390er1T7V/plZKlsjUqDGbIwrd2PCekcAlEoFTk6DiSaDrLivGNHbmM/Gj8633dXV\nFWtra86cOUP37t3R6XScP38erVar3zZr1qx/c6pCCCFEiVSjRg3c3d35+eefi71tPz8/NBoNu3bt\nKva2nxelbkVZ8fzZsGEDLi4u9OzZk06dOlG3bl39fPHLly+ncePGuLq6EhQUREJCAgBp6SqLVh6m\n9+gImr55nYrtVT5Y9QpK5dGk41hgO+rdv6jrcIKJva7gdLsVXBrHS44WBda1sbHhu+++w8TEhM2b\nN7N161ZMTU1ZtmwZ1tbWRfNECCGEEP/Sli1b0Gg0bNy4Md82X19fNBoNW7duzbetWbNmVKtWDcCg\nkzTIBBHPTnrqhUHFxcXRv39/MjMz8fPz4/r165w5c4bAwECGDBnC22+/DRZuYO1FzC5XNrf/A9tq\nzblwHeCVhx5Xzb0LyXsh5RDBb3pSt0Y6Qwf35OQJOLn5Xh0nJyd69er10GN0794dd3d3tm/fjqIo\ntGvXDjc3t8J9AoQQQohCcH+mtf3799O9e3d9eXZ2NkePHsXExIT9+/fTuXNn/bbMzEyOHz9O165d\niz1eUfgkqRcG9d///peMjAx8fX2JiIggJSWV8lWa8fv1JowOqwSv3EAxsdPXTwFSrhd8LBuzBPp1\nqIBp2m9c/nMFZiYqgYGBtG/fHoAyVjpmz55NQkICHh4efPHFF5QtW/aR8bm7u+Pu7l5YpyuEEEIU\niYoVK1KrVi3279+fp/zo0aNkZGTQt2/ffNsOHz5MVlbWI6deFqWHDL8Rxer06dP89NNPnDp1CgAL\nCwtQjDkb70b3CVnU6GFGbt0oFKf5ZFp3zJPQP0hVc6lonUhnXxjU6hTqcVdezujI3NEKn01qw/q1\ny1mxYoU+oQfo1asXR44cITY2lg0bNlClypPPTS+EEEKUdD4+Ppw8eZK0tDR9WWRkJI6OjvTq1Yvj\nx4/nWVU3MjISRVFo3rx5nuNERkbi5eWFhYUFzs7OrFixIl9bycnJjBkzhurVq2NmZoazszPTp08v\ncCryefPmUa9ePSwsLLC3t2fw4MH64bSi8EhSL4B7f8DBwcEMGTKETZs2oaoF3V7676mqSnBwMO7u\n7rz++uvUrl2brv0+4qfo1hg1vs6NsmFs3mvC7ZT8Xx6ZKHdwsT2N0fWZqGcC8S8/Bg5Z0arCu6yd\nmo29bg1knMWmTJlCjVkIIYQoTXx8fMjNzeXgwYP6sv379+Pj40OTJk3Izc3l0KFDebaVKVOGunXr\n6stiY2Pp0aMHAQEBfP7555QvX56goCBOnz6tr5ORkYGfnx/Lly+nf//+zJ8/n1atWhESEsKwYcPy\nxDRs2DDee+89mjZtyty5cxk6dCgbN26kZcuWZGVlFeGz8QJSXzBJSUn6n6J25MgR9ciRI0XezrNa\ntWqVqtFoVO5NFKMC6sSJEwu1jUWLFqmAamztpjo3X6AqDU6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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2852,7 +2760,7 @@ "xs, _, _, _ = kf.batch_filter(zs)\n", "ts = np.arange(0.1, 10, .1)\n", "\n", - "res = nom - xs[:, 0]\n", + "res = nom - xs[:, 0, 0]\n", "print('std: {:.3f}'.format(np.std(res)))\n", "\n", "bp.plot_filter(ts, xs[:, 0], label='Kalman filter')\n", @@ -2902,7 +2810,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 50, "metadata": { "collapsed": false }, @@ -2983,7 +2891,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 51, "metadata": { "collapsed": false }, @@ -2999,7 +2907,7 @@ "data": { "image/png": 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hhBBFyMGDBzl48CBmZma0b9+eEiVK6I/FxcWRnp6OgXFxTl2C4xdh94lEToaq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\nEJA1Ren8+fNZs2YNa9as0ZUPGDAg133iEhTmLD/A6i0XuJ5ci7iMyv+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Lul1o7dsDY8OX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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3110,7 +3018,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 52, "metadata": { "collapsed": false }, @@ -3169,7 +3077,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So to create a trajectory starting at (0, 15) with a velocity of $100 \\frac{m}{s}$ and an angle of $60^\\circ$ we would write:\n", + "So to create a trajectory starting at (0, 15) with a velocity of 100 m/s and an angle of 60° we would write:\n", "\n", "```python\n", "traj = BallTrajectory2D(x0=0, y0=15, velocity=100, theta_deg=60)\n", @@ -3180,7 +3088,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 53, "metadata": { "collapsed": false }, @@ -3189,7 +3097,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3228,7 +3136,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Step 1: Choose the State Variables" + "### Choose the State Variables" ] }, { @@ -3239,40 +3147,31 @@ "\n", "$$\\begin{aligned}\n", "x_t &= x_{t-1} + v_{x(t-1)} {\\Delta t} \\\\\n", - "v_{xt} &= v_{x(t-1)}\n", - "\\\\\n", - "y_t &= y_{t-1} + v_{y(t-1)} {\\Delta t}\\\\\n", + "v_{xt} &= v_{x(t-1)} \\\\\n", + "y_t &= y_{t-1} + v_{y(t-1)} {\\Delta t} \\\\\n", "v_{yt} &= -g {\\Delta t} + v_{y(t-1)} \\\\\n", "\\end{aligned}\n", "$$\n", "\n", - "> **sidebar**: *Euler's method integrates a differential equation stepwise by assuming the slope (derivative) is constant at time $t$. In this case the derivative of the position is velocity. At each time step $\\Delta t$ we assume a constant velocity, compute the new position, and then update the velocity for the next time step. There are more accurate methods, such as Runge-Kutta available to us, but because we are updating the state with a measurement in each step Euler's method is very accurate.* If you need to use Runge-Kutta you will have to write your own `predict()` function which computes the state transition for $\\mathbf x$, and then uses the normal Kalman filter equation $\\mathbf{\\bar P}=\\mathbf{FPF}^\\mathsf T + \\mathbf Q$ to update the covariance matrix.\n", + "> **sidebar**: *Euler's method integrates a differential equation stepwise by assuming the slope (derivative) is constant at time $t$. In this case the derivative of the position is velocity. At each time step $\\Delta t$ we assume a constant velocity, compute the new position, and then update the velocity for the next time step. There are more accurate methods, such as Runge-Kutta available to us, but because we are updating the state with a measurement in each step Euler's method is very accurate. If you need to use Runge-Kutta you will have to write your own `predict()` function which computes the state transition for $\\mathbf x$, and then uses the normal Kalman filter equation $\\mathbf{\\bar P}=\\mathbf{FPF}^\\mathsf T + \\mathbf Q$ to update the covariance matrix.*\n", "\n", - "This implies that we need to incorporate acceleration for $y$ into the Kalman filter, but not for $x$. This suggests the following state variables.\n", + "This implies that we need to incorporate acceleration for $y$ into the Kalman filter, but not for $x$. This suggests the following state variable.\n", "\n", "$$\n", "\\mathbf x = \n", "\\begin{bmatrix}\n", - "x \\\\\n", - "\\dot x \\\\\n", - "y \\\\\n", - "\\dot y \\\\\n", - "\\ddot{y}\n", - "\\end{bmatrix}\n", + "x & \\dot x & y & \\dot y & \\ddot{y}\n", + "\\end{bmatrix}^\\mathsf T\n", "$$\n", "\n", "However, the acceleration is due to gravity, which is a constant. Instead of asking the Kalman filter to track a constant we can treat gravity as what it really is - a control input. In other words, gravity is a force that alters the behavior of the system in a known way, and it is applied throughout the flight of the ball. \n", "\n", - "The equation for the state prediction is $\\mathbf{\\bar x} = \\mathbf{Fx} + \\mathbf{Bu}$. $\\mathbf{Fx}$ is the familiar state transition function which we will use to model the position and velocity of the ball. The vector $\\mathbf{u}$ lets you specify a control input into the filter. For a car the control input will be things such as the amount the accelerator and brake are pressed, the position of the steering wheel, and so on. For our ball the control input will be gravity. The matrix $\\mathbf{B}$ models how the control inputs affect the behavior of the system. Again, for a car $\\mathbf{B}$ will convert the inputs of the brake and accelerator into changes of velocity, and the input of the steering wheel into a different position and heading. For our ball tracking problem it will compute the velocity change due to gravity. We will go into the details of that in step 3. For now, we design the state variable to be\n", + "The equation for the state prediction is $\\mathbf{\\bar x} = \\mathbf{Fx} + \\mathbf{Bu}$. $\\mathbf{Fx}$ is the familiar state transition function which we will use to model the position and velocity of the ball. The vector $\\mathbf{u}$ lets you specify a control input into the filter. For a car the control input will be things such as the amount the accelerator and brake are pressed, the position of the steering wheel, and so on. For our ball the control input will be gravity. The matrix $\\mathbf{B}$ models how the control inputs affect the behavior of the system. Again, for a car $\\mathbf{B}$ will convert the inputs of the brake and accelerator into changes of velocity, and the input of the steering wheel into a different position and heading. For our ball tracking problem it will compute the velocity change due to gravity. We will go into the details of that soon. For now, we design the state variable to be\n", "\n", "$$\n", "\\mathbf x = \n", - "\\begin{bmatrix}\n", - "x \\\\\n", - "\\dot x \\\\\n", - "y \\\\\n", - "\\dot y \n", - "\\end{bmatrix}\n", + "\\begin{bmatrix}x & \\dot x & y & \\dot y \n", + "\\end{bmatrix}^\\mathsf T\n", "$$" ] }, @@ -3280,23 +3179,18 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### **Step 2:** Design State Transition Function" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Our next step is to design the state transition function. Recall that the state transistion function is implemented as a matrix $\\mathbf F$ that we multiply with the previous state of our system to get the next state $\\mathbf x' = \\mathbf{Fx}$.\n", + "### Design State Transition Function\n", + "\n", + "Our next step is to design the state transition function. Recall that the state transistion function is implemented as a matrix $\\mathbf F$ that we multiply with the previous state of our system to get the next state, or prior $\\bar{\\mathbf x} = \\mathbf{Fx}$.\n", "\n", "I will not belabor this as it is very similar to the 1-D case we did in the previous chapter. Our state equations for position and velocity would be:\n", "\n", "$$\n", "\\begin{aligned}\n", - "x' &= (1*x) + (\\Delta t * v_x) + (0*y) + (0 * v_y) \\\\\n", - "v_x &= (0*x) + (1*v_x) + (0*y) + (0 * v_y) \\\\\n", - "y' &= (0*x) + (0* v_x) + (1*y) + (\\Delta t * v_y) \\\\\n", - "v_y &= (0*x) + (0*v_x) + (0*y) + (1*v_y) \n", + "\\bar x &= (1*x) + (\\Delta t * v_x) + (0*y) + (0 * v_y) \\\\\n", + "\\bar v_x &= (0*x) + (1*v_x) + (0*y) + (0 * v_y) \\\\\n", + "\\bar y &= (0*x) + (0* v_x) + (1*y) + (\\Delta t * v_y) \\\\\n", + "\\bar v_y &= (0*x) + (0*v_x) + (0*y) + (1*v_y) \n", "\\end{aligned}\n", "$$\n", "\n", @@ -3317,13 +3211,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### **Step 3**: Design the Control Input Function" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "### Design the Control Input Function\n", + "\n", "We will use the control input to account for the force of gravity. The term $\\mathbf{Bu}$ is added to $\\mathbf{\\bar x}$ to account for how much $\\mathbf{\\bar x}$ changes due to gravity. We can say that $\\mathbf{Bu}$ contains $\\begin{bmatrix}\\Delta x_g & \\Delta \\dot{x_g} & \\Delta y_g & \\Delta \\dot{y_g}\\end{bmatrix}^\\mathsf T$.\n", "\n", "If we look at the discretized equations we see that gravity only affect the velocity for $y$.\n", @@ -3359,13 +3248,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### **Step 4**: Design the Measurement Function" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "### Design the Measurement Function\n", + "\n", "The measurement function defines how we go from the state variables to the measurements using the equation $\\mathbf z = \\mathbf{Hx}$. We will assume that we have a sensor that provides us with the position of the ball in (x,y), but cannot measure velocities or accelerations. Therefore our function must be:\n", "\n", "$$\n", @@ -3373,7 +3257,7 @@ "\\begin{bmatrix}\n", "1 & 0 & 0 & 0 \\\\\n", "0 & 0 & 1 & 0\n", - "\\end{bmatrix} * \n", + "\\end{bmatrix} \n", "\\begin{bmatrix}\n", "x \\\\\n", "\\dot x \\\\\n", @@ -3392,13 +3276,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### **Step 5**: Design the Measurement Noise Matrix" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "### Design the Measurement Noise Matrix\n", + "\n", "As with the robot, we will assume that the error is independent in $x$ and $y$. In this case we will start by assuming that the measurement error in x and y are 0.5 meters. Hence,\n", "\n", "$$\\mathbf R = \\begin{bmatrix}0.5&0\\\\0&0.5\\end{bmatrix}$$" @@ -3408,13 +3287,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Step 6: Design the Process Noise Matrix" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "### Design the Process Noise Matrix\n", + "\n", "We are assuming a ball moving in a vacuum, so there should be no process noise. We have 4 state variables, so we need a $4{\\times}4$ covariance matrix:\n", "\n", "$$\\mathbf Q = \\begin{bmatrix}0&0&0&0\\\\0&0&0&0\\\\0&0&0&0\\\\0&0&0&0\\end{bmatrix}$$" @@ -3424,13 +3298,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Step 7: Design the Initial Conditions" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ + "### Design the Initial Conditions\n", + "\n", "We already performed this step when we tested the state transition function. Recall that we computed the initial velocity for $x$ and $y$ using trigonometry, and set the value of $\\mathbf x$ with:\n", "\n", "```python\n", @@ -3446,7 +3315,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 54, "metadata": { "collapsed": false }, @@ -3458,7 +3327,6 @@ "def ball_kf(x, y, omega, v0, dt, r=0.5, q=0.):\n", " kf = KalmanFilter(dim_x=4, dim_z=2, dim_u=1)\n", "\n", - " ay = .5*dt**2\n", " kf.F = np.array([[1, dt, 0, 0], # x = x0 + dx*dt\n", " [0, 1, 0, 0], # dx = dx0\n", " [0, 0, 1, dt], # y = y0 + dy*dt\n", @@ -3487,7 +3355,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 55, "metadata": { "collapsed": false }, @@ -3496,7 +3364,7 @@ "data": { "image/png": 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FcjIZ3y4myaeYbbos9uuL2X9gCQ1SltMjx4O2JR6oZRZeiFpJEnchxJ+rMLtu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\nM27cOLz//vs4ePAgtm3bBpVKhdjYWDQ0NDDTXrhy5QrS0tI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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3551,7 +3419,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For this problem we assume that we are tracking a ball traveling through the Earth's atmosphere. The path of the ball is influenced by wind, drag, and the rotation of the ball. We will assume that our sensor is a camera; code that we will not implement will perform some type of image processing to detect the position of the ball. This is typically called *blob detection* in computer vision. However, image processing code is not perfect; in any given frame it is possible to either detect no blob or to detect spurious blobs that do not correspond to the ball. Finally, we will not assume that we know the starting position, angle, or rotation of the ball; the tracking code will have to initiate tracking based on the measurements that are provided. The main simplification that we are making here is a 2D world; we assume that the ball is always traveling orthogonal to the plane of the camera's sensor. We have to make that simplification at this point because we have not yet discussed how we might extract 3D information from a camera, which necessarily provides only 2D data. " + "For this problem we assume that we are tracking a ball traveling through the Earth's atmosphere. The path of the ball is influenced by wind, drag, and the rotation of the ball. We will assume that our sensor is a camera; code that we will not implement will perform some type of image processing to detect the position of the ball. This is typically called *blob detection* in computer vision. However, image processing code is not perfect; in any given frame it is possible to either detect no blob or to detect spurious blobs that do not correspond to the ball. Finally, we will not assume that we know the starting position, angle, or rotation of the ball; the tracking code will have to initiate tracking based on the measurements that are provided. The main simplification that we are making here is a 2D world; we assume that the ball is always traveling orthogonal to the plane of the camera's sensor. We have to make that simplification at this point because we have not discussed how we might extract 3D information from a camera, which provides only 2D data. " ] }, { @@ -3611,7 +3479,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 56, "metadata": { "collapsed": false }, @@ -3620,7 +3488,7 @@ "data": { "image/png": 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A4m3oZG1tjWHDhiEtLQ3l5eUYMWIEJBIJhg0bBmtrayQmJiInJwcRERGiXE8u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\nm1O/ZeKWCVs69uLUJFFryvP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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3689,7 +3557,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 57, "metadata": { "collapsed": false }, @@ -3760,7 +3628,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 58, "metadata": { "collapsed": false }, @@ -3769,7 +3637,7 @@ "data": { "image/png": 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kyKLBg1auXCk5yoUQ5VJVlXW7tVrx5Ru1CsmyuDqdp0nwaprWW027sLq0ya1F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\nC3cPKfT8vd2fw90pk1e25oAFku7rKPQ6RLEUPlJemi5duqBx48ZYsWI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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3830,7 +3698,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 59, "metadata": { "collapsed": false }, @@ -3839,7 +3707,7 @@ "data": { "image/png": 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U56+7qfMlO3aEVxseos/X3SmVYKXWcVaL5HLbYKYgm+KIoiFtCZ/MGI0waRKk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\nbTZeXV3NnLXT0qVLkZWVhZycHDzwwAOmcW9vbwghmON2Kiw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AUDIklCbNrtO4e0kaN4bSpeGV2AMoLAy6d1f75+5dMDNTZx936wYTJuRZs1xdXWnQoAHL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\ncXFxeuP3FuWG+oUIyMrKAgB4e3sb7JiVlUB4OPD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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3904,7 +3772,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 60, "metadata": { "collapsed": false }, @@ -3913,7 +3781,7 @@ "data": { "image/png": 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dCehh1TJnGqyGhWW/hGpeG0JZfeYLkwJetdHpVHzftCm8/bYaUrNmjQri169X\nV1QOHoSPP1ZDah5scpcWx5fT8tomWiQdwmvwZRu8Sftr2bIlv/76K926dcPPz49t27bh4eEBqN72\njRs38uGHHzJhwgTTcxISEmzSix0WFkbnzp359ttvzfZPnDjR6q+dF1lNYPXy8mL//v107tzZxiUq\nnCRwF0IUXAkdflDc3LyZEpyrf1NuR0WlH8LgDKhMFKX1SdR1vky9+g54+rjhWU9HvXrg6anykGeS\n0tn6sgpWk5Kyf15eGkLZfOYdg4JIuh+02V1OV23++gvefRemTMlVI7tqVRgyRG0JCbBlS2pv/Nmz\nsH5LGdYzGBgMwHru0M1Cb6Wwa9++PStWrKBPnz5069aNLVu2ULFiRVMPdvqe9c8//zxXve0F5eDg\nkKGneseOHezcuZM66S+x2JGzs3OmDZmnn36aNWvWMHfuXF5++WWzxxITE0lMTDTLQFPcWTxw/+qr\nr5g/fz5nzpwBoGnTpkyYMIGePXuajgkKCmLBggVcv34dHx8f5syZQ5MmTSxdFCGELRTGcdjFRR7G\nk+dGYiL8+y+cO6e2P/+sRnR0aVPAfuFC5s9zcID69aFxY7U1bKjSCtarB9WqOaLXV8/8ifaSU7Ba\nUDl85uuPG8ex4GDrvX5e5HTVxmiE6dNhw4Y8N7KdnNRk1W7dVOrOqLnrODBmEQeTGnGQFhykBUaK\nd6M9fUDcvXt3fvjhBwIDA+nevTsbN27ExcWFTp068emnn5KQkECdOnXYvn07W7dupUqVKjmes6B6\n9+5NUFAQQ4YMoWPHjkRGRrJgwQKaNm3K7du3LfpaWcnNe2rTpg1z587lww8/pEGDBpQrV45evXrx\n7LPPmtI7btmyhQ4dOqBpGsePH2f58uWEhYXh6+trg3dROFg8cK9Vqxaffvop3t7eGI1GFi9ejL+/\nP/v376dZs2ZMmzaNmTNnEhwcTIMGDZg0aRJ+fn5ERkbi7Oxs6eIIIaytMI7DLi7SjSfPoGlTUxJv\nTYOrV1OD8sy26Oj0PefmE9sMBhWUN24MTZqkBure3mpSYpGRU7Caldw2hHL4zBuionDduhXatct7\nGezBaFSfMX9/1fu+YoXan4fhbjod1Nv+HfWSlpE2i3kc4YCfVYpdGGQ2vOOpp57i5s2bvPjii/Tp\n04e1a9cSEhLCmDFj+Prrr0lKSuLRRx/l999/p2vXrhnOkdk5sxpGktWxafe/88473L17lyVLlhAW\nFkazZs3H/kLQAAAgAElEQVRYunQpoaGhbN26Ndvn5rQ/t8flZt/EiRP5999/mTlzJjdv3qROnTr0\n6tULnU7HqlWr+OKLLwgODubnn3+mTJky1KtXj5EjR9KiRYs8l7Mo02k2mG1QuXJlPvnkE4YPH071\n6tUZPXo0b7/9NqCWonVzc2PGjBkMHz48w3PTzrbObBldkT979+4FVAtXWE6JrNeBAyE0NPtjAgPV\nijr5VCLrNUVmQzIMBmjaFG3lKv6+WouwMBWrRkZmfyq9Xi22U7u22hwdL+LhkYivbx0aN1YTE4vF\nIjy5+UxmpnXr3F0dysX5r3brRuX16/NeBktbuRKeeSZ3DRmdDkqVSh1SdP9zluue+EzqJX7tWgzd\nu+ej4EIUfvHx8dkunmWNGNaqY9yNRiPLli0jLi6O9u3bExUVRXR0NH5+qa1vg8GAr68vO3bsyDRw\nF0KIYiG/k3dr1VLB5M8/w7JlaBrsffBFwi4/SlhnHWmTQpQrdRfP0heo7RRD7cpx1PapRu3uTahd\nV0/t2mqVzFJpvvX37v0PgDZtCs84V4vIaYhRemkD1OI2pCunqzZpaZr5PIC8DnfLa70LIfLMKoH7\n4cOHefjhh4mPj8fFxYVVq1bRpEkTdu7ciU6ny5CL1N3dnQtZDa5MI6XXTViO1Kl1lKR6dX3gAeqt\nXIlDQkKmjyc7OXH6wQeJtUCdFNV6dYyOpv64cRiiokz1lLxyJfGenpycPj3HiYxGIxy62pDfdZ/z\n+6aKRP+YuiJRpQoJ9GUV/W8t4rF7Gyl1LxnuANch+Vxp4vfV4+T06VwyeJAu3bFJUa3XLNWsSeO6\ndXE+fjzHQxM8PDj35pvE+vpCTIzacpCbz/w1Pz+iCkm9OgYFUX/cOMr88w/6fFxkTz58mNOff05s\np07ZH5iHeheiOLh16xaHDx/O8nFvb2+Lv6ZVuhYaNWrEgQMH2L17Ny+//DKDBw/m6NGj1ngpIYSd\nxXbqRLynZ5aPx3t6qqCopDIaqT9uHM7Hj5sFeg4JCTgfP079ceNUZJ5OcjLs31+Ozz6rRa9eLXjh\nhcaEhHgQHe1E1aqJPP10DPPnHSPK/UG+uRFIt+RwSpFsdg6HxMRsX6PY0utVgyjN6o9Zud2ihQpI\n89DTXtQ+80keHhwLDiZ60CC0fFxRcEhIoFJERM4H3q/3uEaNSLb4crdCCLBSj3upUqVMq3G1atWK\n3bt3M3PmTN599100TSMmJoaaNWuajo+JiTHlO81OiRzfaiUlesywFZXYeg0Pz3IctvOqVbQpYDrI\nIl2vK1fC/SxbmXE+c4Y2Fy6Avz/37sHWrWo0zcqV5p2/tWqpkQgBAfDQQ6XR691h5R9wNudlyNO+\nRlpFul5z49tv1bjrrNJAGgxUfvllKufn/WfzmT8ZFAR6feGr1zZtVHlzM2wmncqVK+e+nnr2NA3t\nIt0VdiGKExcXl2z/znOzKm5e2SSPu9FoJCEhAU9PTzw8PIiIiKB169aAGti/bds2ZsyYYYuiCCGs\nId04bEBl5+jdu/iNGc6rHDKcXI0vS/in51mzAtauVZlhUnh6pgbrbduquYN5ObeJjRZqKnT69VNL\ne+YiK0+eZfOZT0q/MmthoderMejpGxyOjmphqqyG0eQx7Sh6vfqs+fvLeHchLMzigfs777zDE088\nQa1atbh16xZLlixhy5YtrFmzBoAxY8YwdepUGjZsiLe3N5MnT8bFxYXAwEBLF0UIYUtpf6xFljTg\nbx5gDT1ZQ0/+5CGMOx1gp3rc2xueekoF6w88kEmwLnIvq0DVUpNRi+JnPrMGR0CAWvo0qwZHQRo4\nQgiLsnjgHh0dzaBBg4iOjsbV1ZUWLVqwbt06unbtCsD48eOJj49n5MiRpgWYwsPDJYe7EKJ4Cggg\nduVGIhI6soaerKM7F0ldsMiRRDo1v0bPIVXp0UPlTc91sP7kk6rXPacVQfPaY1qcyNWgjDJrcLRt\na70GjhDCYiweuC9atCjHYyZOnMjEiRMt/dJCCFEoaJqKf9asgTVr+vJHQm/upfm6rcG/9GAtPVlD\nlweuUX7fprynCjh/Xi1Tf+9ezseW9B7TotgzbmtWauDodDqSk5NxKBYLBAiRKjk52S6LPdlkjLsQ\nQhQ5ecy7fusW/P67Gqe+Zo2KqxUdDg4OdCyzn57xq+h5bzXNOYSuIL2ZRqPqHc1pLLX0mBZP+V0T\nICdWaOCULl3atEhNcV/RUpQcmqaRmJiY7eJL1iKBuxBCpJfZaqWrVpmtIqlpcPgwrFungvXt281H\nrLi7Q/fuKsGGn5+Oiq4PwM/nYNkpoFnBejN/+kmVLSs6HbRvD2++WbKHhBRHufhsFoiFGwU6nQ6n\nTZtIuHwZ3NwyHwem10OTJlClSrbnunXrFqAyeZhJSFB/jHFxqWlP9XpwdgYnJ7hyxfwtouM/anKG\nuiTjYDq8UiVVhEqVoHTpfL3dIivLuhVZcnJykh53IYSwu5Te7PSZSOLjubHvJBs7fcnaTtNYt17H\nf/+lPqzXw0MPQY8e8MQT0KpV+ljHgr2ZOWWT0TQVwMnQkOIlm89mnlY4zYqVGgX6H37AEBqa/UGB\ngRASku0hKQvdmKXfMxqhQ4esMwdVrAjXr2fY7Q2UpTpLeIafqrzAzisNUsurV6dM+XPNJmV/sZFp\n3YpCSQJ3IYRIK01vthEdB2jJWnqwju7s4BGST5eC+6nTU3rVe/SArl2hcmU7llsUfzldaTlyRI1R\nz0+DzdqNAmvJqU5u31bpLjOZwF2DC4w3fMn4BY9w0acBP/+sTrdxo1pPYetWeOMNaNlSXTnr2hUe\neUSNQBPCXgrZX6AQQtjX1SXr+DG+D0NZRHUu8CB/8R5T2IZaCdOXLUxp8SP798OFC7B4MTz9tI2D\n9oCA7KOHkpxFpjjL6UpLSr7+/MhtoyA/rPl5zalOkpKgXLmsH78/cbtaNXjpJTXs7fJlCA1Vf9cu\nLnDgAEydCl26qA78bt3g00/VFJOStCCxKBykx10IUSIZjXD6tPpRPngw9d+oqK/NjqvJebqzjh6s\npQsbceUmNA2EVgPsVHJUj2rTptZZWEiUTLltFOSnN9/en9eOHeG//3Kd6tLVFQYMUFtCAmzeDBER\nsGGD+p6IiFAbqAb7Y4+p3vgePQo+xUCInEjgLoQo9m7eVEF52gD90CE1ly09J8dk2idvpYfxN7qz\njqYcwWz6UWHozbb2wkKicAoIUP+3WQXYheGzmRlrfl5zUyfDhqmGQXapLrOYlOvkpOfxx+Hxx9Xu\nS5dU9qgNG1Twfu4cLF+uNp1O9co/95x6qzKkRliDBO5CiCJN0+DqVTWv7vx59UOa9nbK/czUqAEt\nWqgxrCn/Nqivo9Qj4wp/b7YsLFTyWLPn2tqNAmt9XnNbJ9mluszDpFw3t9TeeE2DU6dUEB8ertLA\nbtigtgoV4JlnVBDfqpWsgCwsRwJ3IUShdvs2REUZiIkpzYG/jJyL+Ifze2M4f6cy5xzqcv56Oe7e\nzf5X0clJ/QanBOctW0Lz5lllnytCvdmysFDJYs2ea1sMZ7HG57WgdVKASbk6HdSvr7YRI1TymtBQ\nWLhQPXXOHLW1bKkC+GeekQnsouAkcBdCFBpGI+zZo65Yh4dDVFRKJrdmaY5qfH9LVd7FSO06emrV\nUp1jtWtjul2rFtStC6Xy8m0nvdmisLLWZ7MoD78qSJ1YMFNPxYrwyitqO3AAFi2CH35Qt197DcaN\ng6eegk8+gZo18/D+hEhDAnchhF0lJanJX6tWwerVKlNLWk5OULVqPPWu/U3dO/9Qi/PU5hy1OG/a\nXBt4Wz5VnfRmi8LKWp/NotxgzW+dWGlSbsuW8MUXMG0a/PKL6oVfvx6WLFHfcx99BCNH5rFDQQgk\ncBdC2MHt2+pHbNUq+PVXiI1NfSxl3aDevdXQlqpV4eT02dSbOBEHEjI/YUHyVwshUkmD1aKcnNT0\ngYAAOHNG5YVftQpefx2+/x7mzwdZ80jkRSFvQgshiovLl1WvU+/eKhgPCFC9T7Gx6kr8e+/B3r1w\n9izMnq3Sq6WskF5p40YcErII2qFg+auFECWXDddEqFsXVq5UPe61aqk88D4+MHq0ynwlRG5I4C6E\nsJozZ9Tl4kcfBQ8PeP55ddk4Ph4eflgtYhIZCYcPw+TJ0Lq1ZF8QQthQyqTcrFghi1Tv3nD0KLz5\npvq++/JLaNxYjdrRNIu+lCiGJHAXQliMpqkc6R9+qFKgeXqqS8Jbt4KDA3TvDvPmqXHsO3aoyVre\n3jmf91qXLiQ7OWV9QGHNXy2EKNxSJuW2bm3e824wqH1WmpRbrhx89pnKPuPjo74Tn3oKevVSk/KF\nyIqMcRdCFJimwXffqQlXp06l7i9XDnr2VJ1aPXuqFQnzI7ZTJ+I9PXE+fjzzAwpLbnUhRO5lseiR\nzSfC2nFSbsuW8Mcf8PXX8M47Khd806bw/vuqR750aau+vCiCJHAXQhTIoUMq/dn27ep+1arQp4/K\nKvfYYxZaPVCv5+T06bQMCip6qeqEEBnlYdEjq8ms4fDDDzb/LnFwgJdfVtXx5psQEgLvvqsmr86d\nq4YaCpFCAnchRL7cugVBQTBrFiQnq4mkn30GAweqHyJLS/LwKLqp6oQQqQqw6JHFFIaGQzoeHmrC\n/rBhqjPk2DHo1AmGDIHp01WniBDyayeEyBNNg+XLoVEj+Pxz9Rv86qvwzz8waFABg3ajUaVdGDhQ\nbStXqn0pUlLVhYSozR6X1YUQBZPbRY+sJW3DIW0O97QNh7TfOzbWtauaKxQUpIbKBAdDw4bwzTd2\nLZYoJCz+izd16lTatWuHq6srbm5u9O7dmyOZ/IEGBQVRo0YNypYtS+fOnTl69KiliyKEsLATJ9QE\n0/791WSqtm3VSqf/+x9UqFDAk58/D+3aqXXBQ0PV9swz0K4djtHRFim/EKIQyO2iR9Zi74ZDLhgM\n8MEHKuNW165qBenhw9WY+LAwCeBLMosH7lu3bmXkyJHs3LmTTZs2UapUKbp27cqNGzdMx0ybNo2Z\nM2cyZ84c9u7di5ubG35+fsTFxVm6OEIIC7h7FyZOhGbNIDxcLe09bx7s3KkSLxRYDj1g9ceNk18q\nIYRl2LvhkAfe3uo7NzQUatZUgfxTT8EDD8CKFfK1WBJZPHBfu3YtgwcPpkmTJjRt2pTvv/+ey5cv\n88cff5iOmTVrFu+88w7+/v40adKE4OBgbt26RUhIiKWLI4QooJQsBx99BImJavzlP//ASy9ZcCx7\nDj1ghqgoXLdutdCLCSHsyoaLHllcTsP5rECngwED4ORJ+OorFcAfOqSqsVUrmxRBFCJWHxx68+ZN\njEYjFStWBCAqKoro6Gj8/PxMxxgMBnx9fdmxY4e1iyOEyKVz51Qn+BNPqLzCzZvDtm1q9VOLT5LK\noQfMISGBShERFn5RIYRd2GHRIzP5bThkM5yP8+fzX55cNgacnFT2mZMnYc4cqFFDjYV/8kl48EE1\np1YC+OJPp2nWXaerf//+nD59mj179qDT6di5cycdOnTg7Nmz1KxZ03Tc888/z4ULF1i7dq3Z82Nj\nY023T5w4Yc2iCiGApCQdISHufPNNNeLjHShbNpmXXrpA//6XKFXKOl8Xnu+9R+Xw8GyPudqtG1Ef\nf2yV1xdC2JZjdDT1x43DEBWFQ0ICAMlOTsR7enJy+nSVRcpajEYaDxmS5boQcY0acSw42Hzie36e\nkwsFqYeEBB2rV1chOLgaly6phO8NGtzhlVf+o3372CyfJ2zHO80Kg675XcgkHaumg3zjjTfYsWMH\nf/zxBzpZx1yIQm/vXhc+/bQ2UVFlAOja9Rqvv34eN7ckq77utS5dqLBli+mHK71kJyeupblKl2dG\nI66bN1Np40bT68V26iQZaYSwkyQPD44FB+O6davpato1Pz9ifX2t/3d5f12I7ALm9GVw3bwZQzZL\nmqYM54vt1Cn35TAaqT9uXIbGgENCAs7Hj1N/3LhsGwNOThr9+1+mT58rrF5dhcWLqxEZWZYxY7zx\n87vG2LHnqFTpXu7LI4oEq/W4v/766yxbtozNmzebtTiioqLw8vJiz549tE4zq61Xr15UrVqVRYsW\nmZ0nbY+7pVorAvbu3QtAmzZt7FyS4qWo1mt0NIwdq3IIg5oQNWcOFCRWzhOjUV1uTp/X+b6U3qw2\n7drl/dyZ5WtOu3CTHfI1FxZF9fNa2Em9WofF69VozP26EAMHqqEx2QkMVGlqc2vlSjXUJqthggaD\nek1//1ydLj5efW9PnAh37kClSvDFF/Dss2qcfHbkM2sd1ohhrdKsfe2111i6dCmbNm0yC9oBPD09\n8fDwICLNeNX4+Hi2bdtG+/btrVEcIUqOPEyc0jSVFebFF1WgvmSJ+p346CM18clmQTuoH8pVq1SK\nmrRjTw0GaN060x6wXCnk+ZqFEHZk73UhLJzdxmBQK68ePqy+v69dg8GDoWdPOHvWAuUVhYLFh8q8\n+uqr/PDDD6xevRpXV1diYmIAKFeuHM7OzgCMGTOGqVOn0rBhQ7y9vZk8eTIuLi4EBgZaujhClBy5\nXAnw4kX47jtYvBjSXqHt1QtmzwZPT9sXHVDly2Jl1KT9+/N3ztzma85lj5YQooQKCFDfo9n1jheS\nTDienrB+vVq46fXXYd069TPwySdqRVYZIVi0Wfy/b+7cudy+fZsuXbpQvXp10zZjxgzTMePHj+f1\n119n5MiRtGvXjpiYGMLDw02BvRAij3LoWU7s8xQrlhvp1UvFx2+/rYJ2Dw8YPx6OHoVffrFj0J7C\n0j1gRShfsxCiELNGJhwrpsXU6WDoUDh2TL1MXByMGgUdO6p9ouiyeI+7MZeXnSdOnMjEiRMt/fJC\nlExZ9CwfoAWLGMaSv57hSn8VAJcqpWL8555Tq6CWsuoUdSGEKAZShvNlN18mr50MKY2BLOb2WCIt\npocHLF+uivfKK7Bjh1q86bPPVCAvih65YCJEcZCmZ/kaFfkfr9KavTzAAWYxhitUpbnrOWbOhAsX\n1ND3Xr1KQNBelBd6EUIULinD+UJD1UTUwEB1e/fu/E1yz2FuT74aA1no21ddWX3+ebWQ3ujR6iqr\nKHqK+8+2ECVCslFHBI+ziGH8hD+JOAFQgesMJITnWMiDPRqiG1PCVie2QY+WEKIESRnOZ6l5MdnM\n7bH0YPSKFeGbb1QygrffVhNX9+8vBEMkRZ5I4C6EvRmNaqhLWJi6HxCQq7Hd589DRASEh8OGNQu5\nej9Y12GkG+t5joX0YTUGElQPztPvW/udFD7WuLwthBCWZOnGQA7GjVNDZn7+Wf3c/PGHTV5WWIgE\n7kLYUy4zwQDcvg1btqhAPTzcPCMMOFHf6RxDE+YzmO+oxb/mr1OSe5Zt2KMlhBAWlc+Onezo9Sqr\nWOvWqsf99dfVEBpRNEjgLoS9pM0Ek9b9TDDJ/k+y/6s/Cd+gJyJC9ZAkpVnA1MUFOneGbt1Uzl5v\ngw5dv/Vw5AqkJFKRnmXFxj1aQghRYHno2MmrihVVW+CRR2DePKhWrRI9e16zUMGFNUngLoS9ZJIJ\n5hy1CKcbEfixYX9Xrj2UGmzr9fDQQypI79YNfHzA0THts6VnWQghioUcOnbo21d93xfgu/3BB9Xa\nHS+9BFOn1qFBgzvIwqmFnwTuQthLWBh342EDvUzB+j80MjvE0/kS3Z51w88PHntM9ZJkS3qWhRCi\n6LPR4nHDh8P27fD99w68/bYX3btDhQoFOqWwMgncRclihfGC+REVBXP/CuRbvuQalU37yxPLY/xO\nN8LpRjhevX1gXgnLBCOEECVdbhePK2DgrtPB3Lnwxx93OX26DM2bq6EzTzxRoNMKK5LAXZQcVhwv\nmBtGo8oC87//wW+/gab9HwCt2E9vfqYb4bRjN6VIVk+QHONCCCGszNkZZsw4wbvvenHsmDO9esGA\nATBrFri52bt0Ij0Z+CpKhrTjBdP2YqQdL5jLVX/z6sYN+OILaNRIrVT6669qbPqgZzV2NRrCfloT\nxCQeYWdq0A4lOxOMEEKUZDZePK5mzUQWLjzGjBlQpgz8+CM0aQLffw+aZrGXERYggbsoGXI7XtCC\nDh5Uk35q1FDptk6cgNq1YcoU+Pdf+O57He3CJ9tk1TwhhBBFSMricVmxQsdOqVLwxhtw+DB07QpX\nr6pFmnr0gLNnLfpSogAkKhAlQ27HCxbQvXs6IiIq4usLLVvC11/DnTvqS3DVKjh1Ct55B6pWvf+E\ngi6hbTTCypUwcKDaVq602pUDIYQQNpKyeJwdOnbq1VNrhSxcqCaqrl+v2gmzZkFycs7PF9YlY9yF\nsICLF1WQ/r//NefKldKAyrM+dCi88ooaJpOl/GaCsfOYfSGEEFZkx8XjdDoYNkz1to8eDcuXw5gx\nagjNN99kfzFAWJf0uIuSwQrjBTVNpdEaMEANgQkKgitXSuPpeZc5c+C//1SO3GyD9vyy45h9IYQQ\nNpLSsRMSojYbZ0Hz8FBthp9+gurV4c8/oVUrmDRJet/tRQJ3UTJYcLzgzZswfz488AB07AhLl6og\n/sknYe7cf1i69AivvKJ63K3GDmP2hRBClEx9+sDRo/Dii2oF76AgNf793j17l6zkkcBdlAwFHC+o\nabBjBzz3HFSrBiNGqMmnbm7w3nsqL3tYGLRpcwudzgbvx0Zj9oUQQggAVxcj8x9fSUTnKZQrdZeQ\nEBgYqJGUZO+SlSwyxl2UHPkYL3jlikqH9c03qrchRSe3I7wQeIeAqa1xKiPtXyGEEMVYmjlVXePj\nCecXurOO5WGuJN68w9Kfy+LkZO9ClgwSuIuSJRcTQY1G+P13FayvWgWJiWq/e6krDNUW83zyfLwv\nnYT5Bthup4mgAQHqdbPqdZfFm4QQQlhC2jlV9z3Mn2ygK90IZ3V4Rfr11VixUpftVDJhGdJVKMR9\n//0HH38M9euDn58au37vHvTsobGy3ljO36vGJ8nj8OakeoI9J4LaIcevEEKIEiiLOVVt2csmOlOZ\nK6xZq6N3b5X+WFiXVQL3bdu20adPH2rWrIler+e7777LcExQUBA1atSgbNmydO7cmaNpxyEIkZYV\nc5Xfu6dGzvzf/6nMMBMmqPHqtWurWfNnzsBvL6yi74U5OJLFLBx7TAS1Y45fIYQQ2Shu62tkM6fq\nAQ6wmU64OcUSEQFPPAG3b9u4fCWMVYbK3L59m+bNmzNkyBAGDx6c4fFp06Yxc+ZMgoODadCgAZMm\nTcLPz4/IyEicnZ2tUSRRVFkpV/mpU/Dtt7B4scrBDuDoCP36wfDh0KULODjcP/itXE4EzWse9oKy\nY45fIYQQmbDl+hpGo+oNDwtT9wMCbJ4uEqAZR9jc5SO6/PUZmzert79uXZrfUGFRVgnce/ToQY8e\nPQAYMmRIhsdnzZrFO++8g//9QCc4OBg3NzdCQkIYPny4NYokiqJMxtUB5kNUdu/O05fU1q2qJ/33\n31P3NWyogvVBg1SWmCIlv4s3CSGEsCwr/GZlyZYNhCefVI2DrNLHGAw0Ht6BLU2hQwfYsEGli/zo\nI8sVQaSyebdcVFQU0dHR+Pn5mfYZDAZ8fX3ZsWOHrYsjCjML5io/eVJ99zz6qAray5SBIUNg2zY4\ndgzefDOboN0KizcJIYQoZmy1voYtF+A7fx6mTMk+Yfv9OVXe3hAaqtolkyerXndheTbPKhMdHY1O\np8Pd3d1sv7u7OxcuXMj2uXv37rVm0UqkwlynnvPnUzmHISpX584lqmbNLA+5edOBb7+txrJlbty7\np8dgSGbw4GgGDLiEi4ta9i1950gGNWvSuG5dnI8fz/ThuLp1OVa9OqSpy8Jcr0WZ1Kt1SL1ah9Sr\ndRTWerXEb1ZuuP7+O/UOHyarkSjJhw9z+vPPie3UKc/nNqtbo5HGQ4Zk+dun6XTcadiQk0FBJO3f\nD0D58vDii9WYN68GAwYk8cMPR/HwKLmJ3r29vS1+ThkIK4qle/d0/PijG/36NSckxIPkZB29el1h\nxYrDDB9+0RS054pez8np04lr1IjkNIlqk52ciGvUiJPTp8uYciGEEDZRaeNGHBISsnzcISGBShER\nBX4d182bMURFZfm40cGBC8OGkeThYbZ/2LCLPPxwLLGxjrz7rhdJSbZYlbDksHmPu4eHB5qmERMT\nQ800rc6YmBg80v3np9emTRtrF6/ESGlVF+o6feklNSg9m1zllV9+mcpp3oOmwS+/wLhxEBmp9nXq\nBJ9/rqNVqypAlfyXp2dPs4mgDv3749y7Ny3TBO1Fol6LIKlX65B6tQ6pV+so9PWaj9+sfKlcOReH\nVM7T6+zduxeMRtr8+2/qZNfz5yG7BsK9e3j//TeMH5/hsZ9/hgcfhEOHyrF0aWu++CLXRSlWYmNj\nLX5Om3cTenp64uHhQUSa1mB8fDzbtm2jffv2ti6OKMzymKv8r79UNpg+fVTQ7u0Nq1erMe2tWlmg\nPCkTQUNC1GaH2ftCCCEKKVutr2GFeVeO0dE0HjIEnnlGDVQPDYUCzDusUkX1cTk6wqxZqW0BUXBW\niTri4uI4cOAAf//9N0ajkXPnznHgwAHOnz8PwJgxY5g2bRqrVq3i8OHDDB06FBcXFwIDA61RHFEY\n5SbPbS5zlV+4AM89p3Zt2gSVKqkvisOH1XekTq7SCSGEsDZbra9h6QaC0Uj9cePUWPa0VwtymuCa\nQwPhoYdg+nR1e8AAGDMGbtzIfbFE5qwyVGbv3r107twZ3f2I6YMPPuCDDz5gyJAhLFy4kPHjxxMf\nH8/IkSO5fv06Pj4+hIeHSw73kiIvaayyyVUed1fPZ5Pg00/Vam2OjjBqlFpEqWJF278tIYQQJZy1\n19dIyd1eowacPq1WO0pJ02gwpP6O5uW1fvop27HsWcpFA2H0aLUq+YwZqkMtJASmTVNZ3eSCdf7o\nNE3T7F2I7KQdH+Tq6mrHkhQvdhsraDRCu3ZZp3Jp3TrHPLdGI3z/Pbz7LqQkIurXT30Z1K9vhTLn\nQZA3JvAAABWCSURBVKEfg1lESb1ah9SrdUi9WkeJr9fMOr0cHaFcOejYEYYNy18DYeBANTQmO3p9\nag982gZCLvPFHzgAI0fC9u3qvo8PfPkltG2bt6IWNdaIYaW9I2yrgHluN29Wf+hDh6qgvXVr2LIF\nVqywf9AuhBBCWEVWuduTkuD6ddWtbc1Vsx95BAID1RYaqjrY8rDIU8uWat7ukiVQrRrs2qWC9+HD\n4fJl6xS5uJLAXdhWWFjWM+5BPZZyeTGNkyfVd1bnzrB/v7pK+N136rvD19eK5RVCCCHszZqLOwUE\nmKU6zsBgUKsUFjAxg06nOvf/+UcloilVCr75Bho0UP+K3JHAXRRqN2+qP/AmTdT3lrOzWkY5MhIG\nDZIxckIIIUqAfHZ65Yq/P/Genlk/bqlsOPe5uKihrQcPQrduasLq8OHw/vsqpbPInoQ9wrZymcYq\nORm+/ValdJw+XV0NHDoUTpxQk0/LlrVZiYUQQojiK80ig1bNhpNOo0awbp36rdfrYfJklXkmp2Q2\nJZ3NF2ASJVxKGqusJqc2bcq2ir15ra3Kyw5qaN2sWVBS5yMJIYQo4QICVACdzeJOec3dnlaShwfH\ngoNpc+GCdbLhZEGnU+mcK1ZUKSNnz1ZX2hcsUENpREbS4y5sK5s8t2ebPcHT1bbi20nPX39BzZpq\nON327RK0CyGEKMFssbiTHRcZ7NsXfv1VXU1fvFjNgU1MtMlLFzkSuAvbS8lzGxoKgYHEPTWUif/3\nF41O/sKyX8tSpgx88IGawBIYKAsoCSGEKOFstbiTHfn5QXg4lC+vhvT36aPWaBHm5EKEsA+9Hq2P\nPyFx/rz1lspkBepS2bRpULu2fYsnhBBCFCrWXtypEGjfXqV97tZNjX/v00cF89KBl0oCd2EXu3fD\na6/Bn3+q+61bq3Hs7dvbt1xCCCFEoZUynMXf394lsZpWrWDbNrWm1IYNsHYt9Oxp71IVHsWjiSaK\njAsX1FLHPj4qaHd3h4ULVSAvQbsQQghRjBiNsHKlSuA+cKC6nYu0MY0awdtvq9sffSRpItOSwF3Y\nRHw8TJmiFlr47jsoXRreekvlYx82rNhc5RNCCCEEwPnz0K4dPPOMmtMWGqput2unHsvBSy9B5cqq\nk+/3321Q3iJCwiVhVZoGK1ZA48bw3nsQF6dmjx89Cp98oiahCCGEEKIYMRrVj/2+feYpLOPj1b6+\nfXPseS9XDt54Q92ePNmKZS1iJHAXVnPoEHTpotLPnjkDzZvDxo3qSpmXl71LJ4QQQgir+OknOHIk\n68ePHFGTbHPw6qtQoYKasLp9u+WKV5RJ4C4s7to1GDkSHngANm2CSpVgzhzYvx8ee8zepRNCCCGE\nVYWFZb1YFKjHUjLjZMPVFUaPVrel112RwF1YzL178NVX4O2tAnWdTgXwJ07AK6/IKmhCCCGETeRz\nUmhh9NpratjM+vWwa5e9S2N/ErgLi9i8WaV0fPVV1eP+2GPw99/w5Zeqx10IIYQQNlDASaEWERBg\nvlBUegaDykGfC5UqqdgCVBbMv/+2QPmKMAncRYGcPav+9jp3hoMHoU4ddYVswwZo1szepRNCCCFK\nEAtMCrUIf39o2jTrx5s2VQtH5dKECapDMDoafH1LdpYZCdxFvty5A0FBKtfq8uVQpgx8+CEcOwZP\nPimrnAkhhBA2Z6FJoQWm18OqVepSfNqed4NB7Vu1Kk95oMuVgzVrVEfhrVvQo0euhsgXSzLqWOSJ\npqke9bFj4dw5tW/AAPj0U7UasxBCCCHsJLeTQm2x8mqtWmp1xZ9/To2y+/dXPe35WLzFyUmN+vHw\ngNmzVewREwOjRlm43IWcXXvcv/rqK+rVq0eZMmVo06YN2yXXT6F28KAaEtO/vwraH3gAtm5Vf0gS\ntAshhBDCjF6vGgkhIWrz9y/Qiot6PXzxBUydqjoSR49Wa8SUpJVV7Ra4L126lDFjxjBhwgT+/vtv\nHnnkEXr06MG///5rryKJLFy9qrLCtGoFW7aolczmz4e9e6FjR3uXTgghhBCARSeFFlY6Hbz9Nixa\nBA4OalX2559Xme1KArsF7jNnzuS5557jueeeo2HDhsyePZtq1aoxd+5cexVJpHPvHvzvfyq949y5\n6o9l9GiV3vHFF9UfjBBCCCEKCQtPCi3Mhg6F1avVHLurV+1dGtuxS+CelJTEvn378PPzM9vfrVs3\nduzYYY8iiXQ2bVI97KNGwfXr0LUrHDgAs2ZBxYr2Lp0QQgghMrDwpNDC7oknYMcO+PHHkrNWjE7T\nbD8y6OLFi9SoUYOtW7fSoUMH0/6PPvqIkJAQjh07ZtoXGxtrun3ixAmblrMk++ST2qxY4Ub16gm8\n/vp5Hn30hmSKEUIIIYoCoxHXrVupFBEBwDU/P2J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kx10IIcqygADziX5yMhhg2LA8d5GYCGlpZAWy7dsXaPKgY8dUXnmzZrBsGaSl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\nRK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, diff --git a/code/kf_internal.py b/code/kf_internal.py index e4a74a5..acfdfa5 100644 --- a/code/kf_internal.py +++ b/code/kf_internal.py @@ -36,6 +36,7 @@ def plot_dog_track(xs, dog, measurement_var, process_var): def print_gh(predict, update, z): + print(predict, update, z) predict_template = '{: 7.3f} {: 8.3f}' update_template = '{:.3f}\t{: 7.3f} {: 7.3f}'