diff --git a/09_Nonlinear_Filtering.ipynb b/09_Nonlinear_Filtering.ipynb index c5abdbb..ec2ba9a 100644 --- a/09_Nonlinear_Filtering.ipynb +++ b/09_Nonlinear_Filtering.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:e026652563718882b9faeec7aa237e0a595033966ec61f7289206fe0771594c5" + "signature": "sha256:7fa61cc266df114b63dac394ff63a6d9049e48e19ccc4eb5cbff214e3be37681" }, "nbformat": 3, "nbformat_minor": 0, @@ -257,13 +257,13 @@ ], "metadata": {}, "output_type": "pyout", - "prompt_number": 2, + "prompt_number": 1, "text": [ - "" + "" ] } ], - "prompt_number": 2 + "prompt_number": 1 }, { "cell_type": "heading", @@ -299,22 +299,7 @@ "\n", "So what we are about to embark upon is a difficult problem. There is not one obvious, correct, mathematically optimal solution anymore. We will be using approximations, we will be introducing errors into our computations, and we will forever be battling filters that *diverge*, that is, filters whose numerical errors overwhelm the solution. \n", "\n", - "In the remainder of this short chapter I will illustrate the specific problems the nonlinear Kalman filter faces. You can only design a filter after understanding the particular problems the nonlinearity in your problem causes. Subsequent chapters will then delve into designing and implementing different kinds of nonlinear filters.\n", - "\n", - "You may be impatient to solve a specific problem, and wondering which filter to use. So let me quickly run through the options. The subsequent chapters are somewhat independent of each other, and you can fruitfully skip around, though I recommend reading linearly if you truly want to master all of the material. \n", - "\n", - "The workhorses of nonlinear filters are the *linearized Kalman filter* and *extended Kalman filter*. These two techniques were invented shortly after Kalman published his paper and they have been the main technique used since then. The flight software in airplanes, the GPS in your car or phone almost certainly use one of these techniques. \n", - "\n", - "However, these techniques are extremely demanding. The EKF linearizes the differential equations at one point, which requires you to find a solution to a matrix of partial derivatives (a Jacobian). This can be difficult or impossible to do analytically. If impossible, you have to use numerical techniques to find the Jacobian, but this is expensive computationally and introduces error into the system. Finally, if the problem is quite nonlinear the linearization leads to a lot of error being introduced in each step, and the filters frequently diverge. You can not throw some equations into some arbitrary solver and expect to to get good results. It's a difficult field for professionals. I note that most Kalman filtering textbooks merely gloss over the extended Kalman filter (EKF) despite it being the most frequently used technique in real world applications. \n", - "\n", - "Recently the field has been changing in exciting ways. First, computing power has grown to the point that we can use techniques that were once beyond the ability of a supercomputer. These use *monte carlo* techniques - the computer generates thousands to tens of thousands of random points and tests all of them against the measurements. It then probabistically kills or duplicates points based on how well they match the measurements. A point far away from the measurement is unlikely to be retained, whereas a point very close is quite likely to be retained. After a few iterations ther is a clump of particles closely tracking your object, and a sparse clould of points where there is no object.\n", - "\n", - "This has two benefits. First, there is no process model. You do not need to predict your system state in the next time step. This is of huge value if you do not have a good model for the behavior of the system. For example, it is hard to predict the behavior of a person in a crowd for very long. You don't know where they are going, and they are endlessly being diverted and jostled by the crowd. Second, the algorithm can track arbitrarily many objects at once - some particles will match the behavior on one object, and other particles will match other objects. So this technique is often used to track automobile traffic, people in crowds, and so on. \n", - "\n", - "The costs should be clear. It is computationally expensive to test tens of thousands of points for every step in the filter. But modern CPUs are very fast, and this is a perfect problem for GPUs because the algorithm is highly parallizable. If we do have the ability to use a process model that is important information that is just being ignored by the filter - you rarely get better results by ignoring information. Of course, there are hybrid filters that do use a process model. Then, the answer is not mathematical. With a Kalman filter my covariance matrix gives me important information about the amount of error in the estimate. The particle filter does not give me a rigorous way to compute this. Finally, the output of the filter is a cloud of points; I then have to figure out how to interpret it. Usually you will be doing something like taking the mean of the points, but this is a difficult problem. There are still many points that do not 'belong' to a tracked object, so you first have to run some sort of clustering algorithm to first find the points that seem to be tracking an object, and then you need another algorithm to produce an state estimate from those points. None of this is intractable, but it is all quite computationally expensive. \n", - "\n", - "\n", - "Finally, we have a new algorithm called the *unscented Kalman filter* (UKF) that does not require you to find analytic solutions to nonlinear equations, and yet almost always performs better than the EKF. It does especially well with highly nonlinear problems - problems where the EKF has significant difficulties. Designing the filter is extremely easy. Some will say the jury is still out, but to my mind the UKF is superior in almost every way to the EKF, and should be the starting point for any implementation, especially if you are not a Kalman filter professional with a graduate degree in the relevant mathematical techniques. The main downside is that the UKF can be a few times slower than the EKF, but this really depends on whether the EKF solves the Jacobian analytically or numerically. If numerically the UKF is almost certainly faster. Finally, it has not been proven (and probably it cannot be proven) that the UKF always yields more accurate results than the EKF. In practice it almost always does, often significantly so. It is very easy to understand and implement, and I strongly suggest this technique as your starting point. " + "In the remainder of this short chapter I will illustrate the specific problems the nonlinear Kalman filter faces. You can only design a filter after understanding the particular problems the nonlinearity in your problem causes. Subsequent chapters will then delve into designing and implementing different kinds of nonlinear filters." ] }, { @@ -404,13 +389,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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5+aFbt24czaBaQRCEKr0DXJNlZWUBANq3b+/mltC9gr/1iYhqMUmScP68EefP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\nk2L8+PGlbQ0NDTF48OBobm7u7hLpBnv37o3p06fHI488Ep/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AEBgYiPXr18PHxwdjx47FypUrkZaWhl69enlcR8KZRqPBypUrodfr8c9//hMD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\nU1Ps3bs3fv3rX8f27dvjtddei6VLlxajTErAgQMH4sCBA/H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AisW34Zgr0zA1FA27XQYA4CIIKwAqwmTffhNWMFfxZHTCymAAAO8grACoCBeb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\nJQxAJSKsAABQheLJqCQpnUn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748peJ0NrGrqWZrjQ0h3sYpoYAKAkCCsAAEkjTzWLxPuUtTOSCsNKri9MKBK8YpcwAACK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\nBwNQjdiCBICkwZ4qpmEqnow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BRT2NFBEREd3dlexUrNy4GEWl+ZK6vdoRz46ciwCvYJmSUXPGhoQMwspCBW9X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\nJScn65lnntGDDz542W0xQwIAwAX27NmjmJiYoTIiSYWFhYq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mBRw4vRltvTtJVui6eP3PesWwJ/KnWrXbG/0dCksK4GinxojekwzqvTVtuOQf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\nSAAAAAAYQ0ECAAAAwJj/A1Mr7UfRPpxPAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 3 + "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The plot labelled 'input' is the histogram of the original data. This is passed through the transfer function $f(x)=2x+1$ which is displayed in the chart to the upper right. The red lines shows how one value, $x=0$ is passed through the function. Each value from input is passed through in the same way to the output function on the left. The output looks like a Gaussian, and is in fact a Gaussian. We can see that it is altered -the variance in the output is larger than the variance in the input, and the mean has been shifted from 0 to 1, which is what we would expect given the transfer function $f(x)=2x+1$ The $2x$ affects the variance, and the $+1$ shifts the mean.\n", + "The plot labelled 'input' is the histogram of the original data. This is passed through the transfer function $f(x)=2x+1$ which is displayed in the chart to the upper right. The red lines shows how one value, $x=0$ is passed through the function. Each value from input is passed through in the same way to the output function on the left. For the output I computed the mean by taking the average of all the points, and drew the results with the dotted blue line. The output looks like a Gaussian, and is in fact a Gaussian. We can see that it is altered -the variance in the output is larger than the variance in the input, and the mean has been shifted from 0 to 1, which is what we would expect given the transfer function $f(x)=2x+1$ The $2x$ affects the variance, and the $+1$ shifts the mean.\n", "\n", "Now let's look at a nonlinear function and see how it affects the probability distribution." ] @@ -511,7 +496,7 @@ "def g(x):\n", " return (np.cos(4*(x/2+0.7)))*np.sin(0.3*x)-1.6*x\n", "\n", - "plot_transfer_func (data, g, lims=(-4,4), num_bins=300)" + "plot_transfer_func (data, g, lims=(-3,3), num_bins=300)" ], "language": "python", "metadata": {}, @@ -519,13 +504,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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RjftwyHg01fy3H3zwgcEaBUQPa926dWL//v1FR0dH0draWgwJCRHfffddsbi42GDbQ4cO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\ngAEAgJ9rbWvRyfpqRYZHq3TLKlmWpebWc0qJH6ibJ8w2nQcEvejIOI0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t+vp0xo+wtrCtZ0RERPVnatwCYwe+Al+3QBwJ34bT1w6jXF6m1OZRzgNsC/kF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"text": [ - "" + "" ] } ], - "prompt_number": 4 + "prompt_number": 19 }, { "cell_type": "markdown", @@ -547,7 +532,7 @@ "collapsed": false, "input": [ "y=g(data)\n", - "plot_transfer_func (y, g, lims=(-4,4), num_bins=300)" + "plot_transfer_func (y, g, lims=(-3,3), num_bins=300)" ], "language": "python", "metadata": {}, @@ -555,19 +540,19 @@ { "metadata": {}, "output_type": "display_data", - "png": 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8PAAgKMh0T9Exlfd44Vo8su9k1NqXkZEOAGjTxqPW/hu3r+MvI+brLVtTMJWf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\n263YSK/Gjpogf4tPp2qPq6rmqFKHZaq51a8xI8fr2smFSht+hekvAQD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SATkFmSgszpc7DCJqhTjOkD4aO/ApvDBhIUyNzdXKb2dcx2d/vY2E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\n", "text": [ - "" + "" ] } ], - "prompt_number": 5 + "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "As you can see the probability function is futher distorted from the original Gaussian. However, the graph is still somewhat symmetric around $0$, let's see what the mean is." + "As you can see the probability function is futher distorted from the original Gaussian. However, the graph is still somewhat symmetric around x=0, let's see what the mean is." ] }, { @@ -584,12 +569,12 @@ "output_type": "stream", "stream": "stdout", "text": [ - "input mean, variance: -0.0013, 0.9997\n", - "output mean, variance: -0.0259, 2.2390\n" + "input mean, variance: 0.0013, 1.0023\n", + "output mean, variance: -0.0296, 2.2464\n" ] } ], - "prompt_number": 6 + "prompt_number": 7 }, { "cell_type": "markdown", @@ -614,20 +599,20 @@ { "metadata": {}, "output_type": "display_data", - "png": 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ONA9dXXvi/clfI/rUZuyJj0J1dZUuVllVge1H1+JUyiFMDp8DdxdPGTMloifR\nqJcGCgoKoNVqeVXJhHRu1x2d23XXve7h3geFJRrd62vZKdh2dC1a2TrWuQ1H+7YY0DO8UfMkIgJY\nZ0yZykyF4QMmoq/nIGw4sBxXbpzXi9+8ew1LN36A4N4jMGrgVFhZWMuUKRE1lCCKovj41Z7MhAkT\nkJaWhoSEBN1DWxrNH19WL1++XNdbyYSdunYASoUSldUV6NLGB4627EtL1Jg8PDx0v6vVahkzaXqG\n6gzAWmNqRFFE2u0zSLgWjYqq0lpxa3M79O8yHB0dvWTIjogaWmca7Q7Gu+++i2PHjuHIkSMcEaKF\n8e80BABQUHoPV3KSkHkvBWWVJfB1G6RbR6W0gEppLleKRNQMsM40H4IgoJuzH1wdPJBwbR+u3tG/\nm1FSUYiDyVFwa+2F/l2eg40Fu+kSGbNGuYMxf/58/PLLL4iJiYGnp37fyQevKpnqlba6nl8wJU19\nDEmXj6G4rBAAUFZRgtyC2/Du5A8AcFK7wLl1hwZvk/8OxsHUj8HU8weax3m1oR5VZwDT+UxM6e+v\nKXNNzkjCxpjlyNXk1IpZmFshYuAUBPuOgEKhNPh+U/lcTSVPgLk2BlPJE2j4OVXyOxhz585FVFRU\nnSd9apn8PIJ0v1dXV+HGnXTd66iD/wePDj6P3UYnF094dezdKPkRkelgnWn+urv74cMp32L3yV9w\nIHELtNpqXay8ohSbYlciITkWk8LnwLVNZxkzJSJDJG1gvPnmm1i3bh22bNkCtVqN7OxsAICdnR1s\nbGyk3BWZMKXSTG9UkNmRnzxy/Zy8LBw7vxc3czPYwCBq4VhnWg5zlQVGP/MSAryCsSF6Oa5lp+jF\nM3Iu46v1f8bgvpEYMWASzFUWMmVKRA+TtIGxfPlyCIKA8HD9EYQWLVqETz559JdIarkeN865mVIF\nlZkKpeXFerOUJ6edQ1/3ISirqP1A4KNYqCzZX5vIRLHOtDztnTph3vjPcfTcHmw79iPKHzjna0Ut\nok/9hqTLxzBhyCz0cO8jY6ZEVEPSBoZWq5Vyc0QAgLYO7WtN/gcAyjI7ZOQmQ3u+6LHbuJ6Thoqq\nctzOy8KHU7+FUjDcb5eIjBvrTMukUCgR3HskfLoOwKaDP+BMWpxePLcgB8u3LIa/ZzBeCHlFpiyJ\nqAanyCST5WjrAkdbFwT0ffzDUcs2L4RKZYG2Dq44lLQDgiCgh3ufJ3q4nIiI5NHK1hGvRPwF59JP\nIipmBfJshybgAAAgAElEQVSLcvXip1IP41LGafTuEIpuzn4yZUlEbGBQi/DyqPfx4IBpeYV3sCc+\nCk7quufoqK6ugk/XAejEWWSJiIyKT5f+8Ojggx3Hf8KhpB0Q8cf5vaS8CMfTdiDtzlm4dXWBS2s3\nGTMlapnYwKAWwcpC/+FPa0tbTHtu/iPfk1d4BwcSt+LitVP12kdRiQaB3kPR0bnbE+dJRET1Y2lu\nhXGhryLAKxQbDnyHrDtX9eK3CzLx95/m49mAcXi23ziozDj3ElFTYQODqA4Odm0wLvTVeq9/8dop\n3MrNgKN9W9hYcRIoIqKm4O7igfcm/QMHT2/Hrrj1qKgq18WqtVXYfXIjElMPY2L4HHh06CVjpkQt\nBxsYRBLp0KYLzl+Nx5Yja9ClXXfD67TtAre2XZs4MyKi5k2pUCLcfwz8PAYi6sAKXMxI1Ivfzr+J\nf29agMCe4YgMngEbSzuZMiVqGdjAIJKIvY0DBvQMr3OYRFEEfjmwHB1dPHTLbt68CQC4XXUZAFBV\nXYVg3xFwsHNq/ISJiJoZR3tnvBH5MX7dvRbxV/eirLJYLx53MRoXribghZCX4e8VwiHLiRoJGxhE\nElIqlHCwa1NnfNYY/XH6ExISAAABAfdHwkq/eQmxSdthrrLUW6+yqhzdXHvBu/PjR8wiImrJBEFA\n5zbeaO/QBZnFZ3Hs/D69eGGpBmv3fI2TyQcxYfAbjxzsg4iejELKjR06dAijR49Ghw4doFAosGbN\nGik3T9TsdWnfA2OCZ2Jk4GS9nwCvMNzJv4WcvCyDP3c12XKnTtQkWGeovizMrDAp/E3M/dP/GhyS\nPDnjNJasewf7EjajurpKhgyJmi9JGxjFxcXw9fXFN998AysrK956JJKI2rY17KzVuHE7zeDP1sOr\nkZh6BImpR3Au/aTc6RI1GtYZaqiurt54f/LXGBk4GUqlfseNyqoKbD+6Fl9teA/XslNlypCo+ZG0\ni9SIESMwYsQIAMCMGTOk3DRRi2ZrZQ9/r5A6411dvVFWUQIAOJC4FZm30/TiWq0Wz/Ufz2EayeSx\nztCTUJmpMHzARPT1HIQNB5bjyo3zevGbd6/h640fYJDvCEQETYWVhbVMmRI1D3wGg6gZaGXrCMAR\nAPDi0LdqxU+lHMKek1FQKOp/09LOuhWCfUdIlSIRkezaOrji7bGf4sTFA9hyZDVKygp1MREiDp/d\nibPpJ/Cn0NfQu1ugjJkSmTZBfHB6YwnZ2dlh2bJlmDZtmt5yjUaj+/3y5cuNsWsiegpaUYuyiiKc\nyTysNzvug8wUKvTv8lwTZ0Z18fD4Y2QytVotYyZNq646A7DW0OOVVRYj4eo+pN85bzDu1toL/bs8\nBxsLzmtE1NA6wzsYRKSnpLwAMclRsLUwfAJp16oL7K1aN3FWRETSslTZYJDnGHRp64u4tJ0oKsvX\ni2feS0G25ir8Og6GVzt/KARJH1slatZkbWDUDM1pah4eWtQU8RiMgzEeQ2VVJTp3czcYO5V6GOZm\n5lCZAbnadABAVlYWAMDV1bXW+rZWajzjY9x3Oozx36ChHrxaT7UZ87+tKf39Nd9cAzA8NBK7T/6C\nA4lboNVW6yKV1RWIv7oHt0vSMSl8DlzbdJYxT3kxV+mZSp5Aw+sM72AQkR6VmQruD0wG+CA35654\nuFflKeEUAMDf37/W+rtPbJQ+QSIiiZmrLDD6mZcQ4BWMDdHLcS07RS+ekXMZX63/Mwb3jcSIAZNg\nrrKQKVMi0yBpA6O4uFjX11Wr1SIjIwNJSUlwdHSEm5ublLsiIhkoBAUgGFiG+5MMPszWyh4749aj\nqqoSdzXZiBw0HY5q56ZIlZop1hlqTO2dOmHe+M9x9NwebD+2Tjc6H3D/+bToU78h6fIxTBgyCz3c\n+8iYKZFxk7RDYXx8PPr27Yu+ffuirKwMCxcuRN++fbFw4UIpd0NEJiLULwIjAydDoVCgSluFG3eu\n4vKNc7h84xxu5V6XOz0yQawz1NgUCiWCe4/ERy/9G7271h5JKrcgB8u3LMaa3UtRWJJvYAtEJOkd\njLCwMGi1Wik3SUTNQKD3UOQV3tFbtv3YOnh06FVr3S7tetTZRYuIdYaaSitbR7wS8RecSz+JqJgV\nyC/K1YufSjmES9cSETloOgK9h3LSR6IH8BkMImp0TmoXOKld9JZ1aNMVIvS/KFZVVSHq4Aq8MuqD\npkyPiKhOPl36w6ODD3Yc/wmHzuyEKP5x3iopL8L66GU4mXwQk4bMhnPrDjJmSmQ82MAgIlkYnCnX\nAvB088XOuPWPfO+DBf5ufjamj/iz1OkREelYmlthXOirCPAKxYYD3yHrzlW9eFrWBXzx8zw8GzAO\nzwb8CSozlUyZEhkHNjCIyKjUZ/bwf258H3bWrQAASkGB6zlXdDFXp05QKnlqIyLpubt44L1J/8DB\n09uxK249KqrKdbHq6irsPrERialHMHHIbINdQIlaClZhIjI5owJfRFV1pe51QXEeMnJScS7tJOa8\nsBj2Nq1kzI6ImjOlQolw/zHw8xiIqAMrcDEjUS9+Oy8L/960AIHeQxE5aDpsLO1kypRIPmxgEJHJ\n6e7uV2tZ1t1rcHfxxOGzOyA8MOOuVqtFH48gySfIIqKWzdHeGW9EfozTl49i08EfUFiqPxFZ3IX9\nuJAej7Ghr6CvZzAfAqcWhfPeE1Gz8Fz/8RgTPBP5hfojvVRVV6K8skymrIioORMEAX09B+Gv05Zh\noPezteKFpRqs2b0Uy7f+DbmaHBkyJJIH72AQUbOhVCihtnXUW2auskDy9SQkX0/SLSstL9aNX3/v\n3j0AwNGrmzFhyCy0c+zYdAkTUbNgbWmLyUPfRP8eYdgQvRw5eTf04skZp/H5urcxYsAkDO4zms+J\nUbMn+V/4d999h6+++grZ2dnw9vbGv/71LwwaNEjq3RAR1WKuskBE0JTHrnfk7G7k3LsBMzNzVGmr\nAAD+HiFQ27Zu7BRJIqw1ZIy6unrj/Re/xv5Tm7E3PgrV1VW6WGVVBbYdXYuElEOYHD4H7i6eMmZK\n1Lgk7SK1ceNGzJs3DwsWLEBSUhKCgoIwYsQIZGZmSrkbIqKn0tdrEMaFvYbIQdNhrrRAVXUFOrTp\nAmsLW7lTo3pgrSFjpjJTYcSAifjLlG/QzcBIUjfvXsPSjR/g14P/pzcKFVFzImkDY+nSpZg5cyZe\neeUVeHl54dtvv0W7du2wfPlyKXdDRPRUrC1s4ezgCmcHV5gpVGhr74YL107JnRbVE2sNmQJnB1e8\nPfZTvDj0bVg/NJKUCBGHzuzEttPf43puskwZEjUeybpIVVRUIDExEe+//77e8mHDhuHYsWNS7YaI\n6Kn9K+pDtHVwBQBoRS1KK4pgY9lF5qyoPp6o1hjx6D0BcifQAMy14QQAgf/9qctdx83Y+c4BDJz/\nJRzsnJooM6LGJVkD4+7du6iuroazs7Pe8rZt2yI7O9vgexISEqTavSxMPX+Ax2AseAxNy9mqC1AG\n3My/imqxCmUVxVCLbiZ1DA/y8PCQO4Um8yS1hsiYOeWWoP+3G/FZ6yL4dRwMr3b+UAjGO8inKZ0n\nTSVXU8izoXWGwxgQUYvj4dIHpRVFyLyXit4dQ/TmzSAiampOuSWorK5A/NU9uHrnHAK7jUJrG+fH\nv5HISEnWwHBycoJSqUROjv44zzk5OWjXrp3B9wQEGMtNzIapaWmaav4Aj8FY8Bjkk5OXhcwSd2Te\nSwUAVFkU6MUtVJYI939BjtQaTKPRPH6lZuJJag2RKblbdBM7z/wHg/tGYsSASTBXWcidEgDTOteb\nSq6mkifQ8Doj2WU7c3Nz+Pv7Y+/evXrL9+3bh6CgIKl2Q0T01Kq11dgc+x9YqCxRWVWOyqpyQNRf\nR6ngDV5j9ES1RhSN9ichPh4J8fGy58FcZfh5BK2oRfSp37Bk3Tu4lHFaqv99iJqMpBX03XffxUsv\nvYT+/fsjKCgI33//PbKzszFr1iwpd0NE9FTKK0uhVJoht+A2CsvzUVh6Dy+PmQ8Lcyu5U6N6YK2h\n5qh310CcSYvTW5ZbkIPlWxbD3zMYL4S8AnubVjJlR9QwkjYwJkyYgNzcXHz22We4desWfHx8sHPn\nTri5uUm5GyKierl84xwyb6fXWp5XeAed23VHJxdPpKSkAABUZuZNnR49IdYaao5eifgLzqWfRFTM\nCuQX5erFTqUexqWM04gcNB2B3kMhGPHIaERAIzzkPXv2bMyePVvqzRIR1UvNbLlWFjbIuXcDk8Lf\nNLieuZk5lEozaLLLAAAKhbIp06SnxFpDzZFPl/7w6OCDHcd/wqGkHRAf6LtZUl6E9dHLcDL5ICYN\nmQ3n1h1kzJTo0Th0ChE1O9XaapRVlGLa8HdhrrIw+KNU8hkLIjI+luZWGBf6Kt6d+CVcnTrViqdl\nXcAXP8/DrrgNqKyqbPoEieqBFZaITF5JWRHu5N/SvR7QYwgSUmLxnx1/N7j+7bwsLJi2rKnSIyJq\nMHcXD7w3+Z84eHo7dsWtR0VVuS5WXV2FXSc2IDH1CCaGz0Y3V28ZMyWqjQ0MIjJ5e07+gtb2beGk\ndtEt697RT8aMiIienlKhRLj/GPh1G4hfYlbgUkaiXjwn7wa+/fWvCPQeishB02FjaSdTpkT62MAg\nIqOnKbqH2KTfYWamMhgXBAGDfIaz2xMRNUuOamfMivwYialHsDl2JQpL9eckiLuwHxfS4/FCyMvw\n9wrhQ+AkO1ZjIjIamqJ72Bm3Hmrb1nrLK6vK0atzP3RlNwAiaqEEQYC/VzB6uPfBtqNrcOz8Pr14\nYakGa/d8jZPJBzFx8Cw4qjkTOMmHD3kTkdEwM1PpxnlPv3kJfTyeQV/PQRjkM4KNCyIiANaWtpgU\n/ibm/ul/DY4klZxxGp+vexv7EzajurpKhgyJeAeDiGRy+vJRg8XP2eF+wdRqq7H92DoAgKjV4o3I\nBU2aHxGRMevq6o33J3+N/ac2Y298lN75tGa47oSUQ5gcPgfuLp4yZkotkaQNjP/7v//D+vXrcfr0\naRQUFODatWvo2LGjlLsgIhOTeTsNZ9NO1OoTXFxaiFC/UXW+r6NzN93vZkpOgkf3sc4Q/UFlpsKI\nARPR13MQNkZ/hytZF/TiN+9ew9KNHyC490iMGjgFVhbWMmVKLY2kDYzS0lIMHz4cY8aMwfz586Xc\nNBGZEE3RPew5+QtsrdUoKM7Dc/3Hw8GujdxpUTPAOkNUm7ODK94e9xlOXDyALYdXoaS8SBcTIeLQ\nmR04kxaH8WGvwbdroIyZUkshaQNj7ty5AICEhAQpN0tEJmRfwmbk3MuEb9cBLGQkOdYZIsMEQUCg\ndzi8O/vjt8OrkJAcqxfXFOVi5e9fwLfrAIwLfQ0Odk4yZUotAZ/BIKInUlFZjpTMM8jMvQIAsEjX\nArg/4lNJeTH2J/zGBgYRUROzs26Fac/NR7/uYfgl5nvkanL04mfTTiAl8ywiBk5BsO8IKBRKmTKl\n5kwQRVGUeqMJCQno37+/wb6xGs0fYzdfvnxZ6l0TkQQuZ59GSUXhI9epqCqDyswCbq0NPzyoEJRw\nsGnbGOnRQzw8PHS/q9VqGTNpOo+qMwBrDRm/gH799F4nxMdLvo+q6kqczTyMC1nHIaL21z0n2/YI\n7DYKrW04pC09WkPrzGPvYCxYsACff/75I9c5ePAgQkJC6pEeERmDy9mnUVxRUGdcFLXw6xhWr21x\nQid6WqwzRI3DTKlC305D0LmNN45f2Ym7RVl68btFN7EjaSV6ugait1sIzJSGJzMlaqjH3sHIzc1F\nbm7uIzfi5uYGKysr3ev63sEw1SttNX1/AwICZM7kyfEYjENTHUPM6W3I1eToGgPV2mqMD3tdksaB\nqf87mHr+gOmfV6WuM4DpfCam9PfHXCX28PlX+g4lerTaahw5twfbj/2I8orSWnFHe2dMGDILPdz7\nGHy/SXym/2UquZpKnkDDz6mPvYPh6OgIR0fHp8uKiBrd7bws5BcZ/pJWWVmOe4V3dK/v5t9CWUUp\nhywko8A6Q9T4FAolQnqPhG/XAdh08AecSYvTi+cW5GD5lsXw9wzGCyGv6CY9JXoSkj7knZ2djezs\nbKSmpgIALly4gHv37sHd3R0ODg5S7oqoRUm/mYxr2cmPXCf1+lkM7TfOYKyLa090ce2pt8xcZSFZ\nfkRNhXWG6Om0snXEKxF/wbn0k4iKWVHrwtSp1MO4lHEakYOmI9B7KLvB0hORtIHx/fff429/+xuA\n+/2yR40aBUEQsGrVKkybNk3KXRG1GImpR5CYegRTh8195HpBvZ6DpbnVI9chMnWsM0TS8OnSHx4d\nfLDj+E84lLRD7yHwkvIirI9ehpPJBzFpyGw4t+4gY6ZkiiRtYCxatAiLFi2ScpNEzUK1thqiqDW4\nHLg/0seDfj+2DuYqSwBASVkRXo34S+MnSWQCWGeIpGNpboVxoa8iwCsUG6KXIevuNb14WtYFfPHz\nPAwL+BNaKzpBqeDsBlQ//EshklBxWSHu5t+qtTz2zA64ONS+ApSVdX9EDw2u6y13bdMZ/bqHNUqO\nRERED3J38cB7k/+Jg6e3Y1fcelRUleti1dVV2HViA9RWjgjsOhKA8T+QTPJjA4OogeKTD6Kistxg\nLPN2GlydOqG1vf78D4E9w+Hp5ltrfVMaQYKIiJovpUKJcP8x8PMYiF8OrMCljES9uKY0F3vO/wiN\neAuRg6bDxtJOpkzJFLCBQfQYvx9bpzfTaUVlGQb3jTS4bq8u/WBraQ+lkv9rERGR6XG0d8asyI+R\nmHoEm2NXorBUoxePu7AfF9Lj8ULIy/D3CuFD4GQQvwUR1WFT7EpYWdjA0d4ZA3s9K3c6RERETUIQ\nBPh7BaOHex9sO7oGx87v04sXlmqwds/XOJl8EBMGvwEntYtMmZKxYgODWgxRFJF974besl0n1sOl\ntZvB9Tu3646+noOaIjUiIiKjY21pi0nhb6Jf9zCs3rEUmlL9IW2TM05jybp3MGLAJAzuM5p370mH\nfwnUYpxNi8Ppy0fh2zVQtyzYdyQ8OvSSMSsiIiLj1tXVGxF+r+H8jWM4f/MYqqurdLHKqgpsO7oW\nCSmHMDl8DtxdPGXMlIwFGxjULMUkbkNpRbHeMk3RPYwf/AYfTCMiImogpcIMvTuGIGLwRGyM/g5X\nsi7oxW/evYalGz9AcO+RiAiaynmZWjjJGhh5eXn45JNPsH//fmRkZMDJyQkRERH47LPP0Lp1a6l2\nQwQA+OXA9yjIv9+AuF11uVZcZWaBkYGTmzotImpErDNE8nN2cMXb4z5D3MVobD28GiXlRbqYCBGH\nzuzAmbQ4jA97Ta/HALUskjUwbt68iZs3b+Krr75Cz549cePGDcyZMweTJ0/Gnj17pNoNNWMVVeUo\nKvljtIpTKYdRUl4ElZl5rXW9OvZGpb0KAId4JWopWGeIjIMgCBjoPRS9Ogfgt0OrkJASqxfXFOVi\n5e9fwLfrAIwLfQ0Odk4yZUpykayB4e3tjU2bNuled+nSBV999RUiIiJQVFQEW1tbqXZFzdTBxG2o\nqKrQjUZhZ90KYX2eN9jAAP6YQ4KIWgbWGSLjYmfdCtOGz0e/HmH4JeZ75Gpy9OJn004gJfMsIgZO\nQbDvCL0h36l5a9RnMDQaDSwsLGBtbd2YuyEjc/NuBpKuHGvw++4V3Mb4wW/AQmXZCFkRUXPEOkMk\nvx7uffDhlG+x++QvOJC4BVpttS5WXlGKTbErkZAci0nhb8K1TSf5EqUmI4iiKDbGhvPz89GvXz+M\nGjUK//rXv3TLNZo/usBcvly77zyZtvQ755GtuQafDs/AztJB7nSIWgQPDw/d72q1WsZMmlZddQZg\nrSHjF9Cvn97rhPh4mTKRVl5xDo5f2Ym7RVm1YgIE9HQNRG+3EJgpVTJkR0+qoXVG8bgVFixYAIVC\n8cifQ4cO6b2nqKgIzz//PNzc3PDll18+wWGQsSmvLEVZZcljf/KKb8PTuS8bF0RUb6wzRM2Hg40z\nhvtOR/8uw6FS6ndxFiHiQtZxbDu9Ajfz0mTKkJrCY+9g5ObmIjc391GrwM3NDVZW94cjKyoqwsiR\nIyEIAnbt2lXrtvWDV5VM9UpbTd9/U364uK5jKK8oxbXs1FrrH0zaju4d/eq1bb9uQVDbNv6ILs35\n38GUmPoxmHr+gOmfV6WuM4DpfCam9PfHXCUmCPqvG6dDiWSe5DPNL8rFrwd/wNm0OINxf68QjA15\nGXbWrSTJsYZJ/PvDdPIEGn5OfewzGI6OjnB0dKzXzgsLCzFixIhHnvTJuOUW5GD7sXVQ2zjA3ysE\napv7DYWxIa+gTat2MmdHRM0R6wxR89TK1hGvRvwFZ9NOIOrg/0FTpH8h4VTKIVy6lojIQdMR6D0U\nwsONLjJZkj3kXVhYiGHDhqGwsBBbtmxBYWEhCgsLAdwvHioV+9oZi9+PrUN29v2RHh6eQ0IUtejm\n2hOFJRq0adUObm27ypEiEVEtrDNEpsm36wB4uvlix/GfcChpB0T8cbempLwI66OXIT75ICaGz4Gz\ng6uMmZJUJGtgnDp1CidOnIAgCPD0/GOaeEEQEBMTg5CQEKl2RfVQra2GVquttTy/6C7KKkrg1zEU\ngGncliMiAlhniEyZpbkVxoW+igCvEGyI/g5Zd6/pxa9kXcAXP83FsIA/YWjAOKjMeMHAlEnWwAgL\nCzP4hZYa3+28myguK9RbduJiNBzsnCAItZ/jD+o1DDev3W2q9IiIJME6Q2T63F088d6kf+Bg0nbs\njFuPyqoKXay6ugq7TmxAYuoRTAyfjW6u3jJmSk+jUefBIGlkZKci83Z6nfFLGYl4xme43jLfroHo\n7u4HhYEGBgA2MIiIiEgWSqUZwv1fgF+3IPwSswKXMhL14jl5N/Dtr39FoPdQRA6aDhtLO5kypSfF\nBoYJuHzjPHI1ObC3bY1neg2rFe/dbSDsrI13lBQiIiKihzmqnTEr8mMkph7B5tiVKCzV6MXjLuzH\nhfR4jA19BX09g/kQuAlhA8NIxZzehtLyYt1rO5tWMDezgL0N55cgIiKi5kEQBPh7BaO7ux+2HVmL\n4xf26cULSzVYs3spTlyKwcTBs+CodpYpU2oINjBklFuQg/KKMr1lOXk3cPZKHNo7dcLIwMkyZUZE\nRETUdGws7TB56Jvo3yMMG6KXIyfvhl48OeM0Pl/3NkYGTkaY3/NQKvkV1pjxX6eJZN25WmvEhHNp\nJ9DX6+FRTwSMCZ7ZJBPVERERERmTrq7eeP/Fr7H/1GbsjY9CdXWVLlZZVYGtR9YgITkWk8LnwN3F\n8xFbIjmxgdFE9sb/ioigqXrLPDr4wMHOSaaMiIiIiIyPykyFEQMmoq/nIGyM/g5Xsi7oxbPuXsPS\njR8guPdIjBo4BVYWnHDT2LCBIaEzV+KQefsKFAplrVhr+7acCZuIiIionpwdXPH2uM8QdzEaWw+v\nRkl5kS4mQsShMztwJi0O48Neg2/XQBkzpYdJ2sB47bXXEBMTg5s3b8LW1hZBQUFYsmQJevToIeVu\nZCeKIorLNcgtyMGhpB2wMLcCAFRVVeK5ARNgobKUOUMiouappdQZIrpPEAQM9B6KXp0D8NuhVUhI\nidWLa4pysfL3L+DbdQDGhb7GniFGQtIGRr9+/TBjxgy4ubkhNzcXixYtwtChQ5GRkQEzM9O+WXLz\n7jXcyc8GAFy7m4Lrucmwai2gQ9su6Nc9TN7kiIhaiOZcZ4iobnbWrTBt+Hz06xGGX2K+R64mRy9+\nNu0EUjLP4vmgqbAU29Q5Dxg1DUnPxq+//rru944dO+LTTz+Fn58frl69Cg8PDyl31eROXz4Kv25B\nAIAc61z0Vw/HgJ6hMmdFRNSyNOc6Q0SP18O9Dz6c8i12n/wFB079Bq2o1cXKK0rx68Ef4GTrioHd\nRsqYJTXa5Z7i4mKsWrUKHh4e6Ny5c2PtptHEXYjGvcLbutclZcVwbXP/OG7Z5MqVFhER/Zep1xki\nejLmKguMfuYl+HsGY8OB75CRnaoXv1uUhd+TVqJUmYvhAybCXGUhU6YtlyCKoijlBr/77jt88MEH\nKC4uRteuXbFr1y5069ZNF9do/pil8fLly1Lu+qmVVRYjLm0XWlm3gVZbjb6dhsidEhHRYz145V6t\nVsuYSdN4XJ0BjLvWEAFAQL9+eq8T4uNlysS0aUUtUrMTcTrjACqrK2rFbS1aIbDrCLR36CpDds1H\nQ+vMYzuoLViwAAqF4pE/hw4d0q0/depUJCUlITY2Fj179sSIESNQWFj4hIfTdERRRPzVffDpMAh+\nHUPZuCAiaiItpc4QkfQUggLd2wUgss8sdGztVSteVJ6P/RfX43DKbyitKJYhw5bpsXcwcnNzkZv7\n6C5Bbm5usLKyqrW8srISDg4OWLZsGaZPnw5A/6qSXFfasu9l4ny6/pUCrbYaeUW5mDhk1mPfn5CQ\nAAAICAholPyaAo/BOPAY5Gfq+QPGcV59GlLXGcB0PhNT+vtjrhITBP3X0nYokZxJfKYAzqbF4ee9\ny1BSUfuig7WFLSKDZyCwZziEhz9/GZjKZwo0/Jz62GcwHB0d4ejo+ETJaLVaiKIIrVb7+JWbSHV1\nFbYd/RHPB02Fo72zXkxpYP4KIiJqXM2tzhCRfHy7BqK4TzVOXz+IlFsJEPFHw62kvAjr9/8/xF+K\nwcTwOXB2cJUx0+ZNsoe809LS8Ouvv+LZZ5+Fk5MTbty4gS+++AKWlpaIiIiQajcNJooidp3YoPc6\nsOcQtHPsKFtORETUcMZaZ4jIuKjMLNC/y3MYFTIBG6KXIevuNb34lawL+OKnuRgW8CcMDRgHlZlK\nnkSbMckaGBYWFoiNjcXSpUuRn58PZ2dnhIaG4vjx42jTpo1Uu2mQnHs3kFuQg3sFtzF12FxZciAi\nImkYY50hIuPl7uKB9yb/EwdPb8fOuJ9RWfXHQ+DV1VXYdWIDElOPYGL4bHRz9ZYx0+ZHsgZGhw4d\nsOnGYiwAACAASURBVHPnTqk290TKK0px8lKM7nVK5hk84zMcIwNflDErIiKSgjHUGSIyLUqFEuH+\nY+DXbSB+iVmBSxmJevGcvBv49te/ItB7KCIHTYeNpZ1MmTYvzWba090nNqKsohROahf07hYIAOjr\nFcw/FCIiIqIWzlHtjFmRHyMx9TA2x/4HhaUavXjchf24kB6PsaGvoK9nsFE8BG7Kmk0DQ6vVYkzw\nDLnTICIiIiIjJAgC/L1C0N29D7YdWYvjF/bpxQtLNVizeylOXIrBxMGz4Kh2rmNL9DiPnQfDWFVU\nlePm3Wu4eO0UVv7+BVrbt5U7JSIiIiIycjaWdpg89E2886f/hbNDh1rx5IzT+Hzd24g+9Ruqq6tk\nyND0meQdjLNpJ3ArNwOl5SXo5OKJsSEvs4FBRERERPXWzdUb77/4Nfaf2oy98VF6jYnKqgpsPbIG\nCcmxmBQ+B+4unjJmanpMroGx4/hPKCzRYGjAWNhZt4KFylLulIiIiIjIBKnMVBgxYCL6eg7Cxujv\ncCXrgl486+41LN34AYJ7j8SogVNgZWEtU6amxeS6SOXcy0JQr2FwUruwcUFERERET83ZwRVvj/sM\nLw59G9YWtnoxESIOndmBz9e9jbNpcTJlaFqM/g5GSXkRSsuKseXIarRz7Ii2Dq6wMLeSOy0iIiIi\nakYEQUCgdzi8O/vjt8OrkJAcqxfXFOVi5e9fwLdrIP4U9hpa2TrKlKnxk/wOhiiKGDFiBBQKBTZt\n2vTU2ztyZhcOn92FML8IjAycjIigKZzanYioBZO6zhARPcjOuhWmPTcfs8cshKN97ZGkzqbF4X9/\nfAuHzuyAVlstQ4bGT/IGxj//+U8olUoAkGQMYWtLO5ibWaArZ1gkIiJIX2eIiAzp4d4HH079FkP9\nx0Ih6H9lLq8oxa8Hf8DXUR8i6841eRI0YpJ2kYqPj8e3336LU6dOwdn56cYO3n1iI7SiFkUlGkwY\nMkuiDImIyJRJWWeIiB7HXGWB0YOmwd8rGBuiv0NGzmW9eEZ2Kr7a8GcM6ROJ4QMmwlxlIVOmxkWy\nOxiFhYV48cUX8cMPP6BNmzZPvJ2KqnIUlmhQUJKPTi5ebFwQEREA6eoMEVFDubbpjPkTvsCfwl6v\n9SywVluN/ac2Y8m6d3Ap47RMGRoXQRRFUYoNTZkyBU5OTvjmm28AAAqFAr/++ivGjh2rt55GozH0\ndiIikoBarZY7hUZT3zoDsNYQETWW+tSZR3aRWrBgAT7//PNHbiAmJgbXr1/H2bNnkZCQAOD+A3gP\n/peIiMgQ1hkioubnkXcwcnNzkZub+8gNuLm5Yc6cOVi7di0Uij96XFVXV0OhUCAoKAiHDh3SLedV\nJSKixmNqdzAao84ArDVERI2lPnVGki5SN2/eRH5+vu61KIrw8fHB119/jcj/v707j46yzvM9/qmq\nLGSt7IGQSsKSgCB7iBIXwGExDAKOF227XcA7chyVwbbbo3bb4/CHY4+O3uHOhdNXehpxa6WlW20F\nwW5jIgJikLAvkR1CWEKWSgFZKs/9w2vamEACVPKrqrxf53AsHp8K71RCkW/9nuepmTOVlZV1tX8E\nAKAH498ZAAgcPrmKVFpamtLS0tpsd7lcPOkDAK4a/84AQODw+ftgAAAAAOi5fHYVKQAAAABgBQMA\nEPQsy1JBQYHsdrtWrlxpOqddDz74oAYOHKjIyEilpKRo1qxZ2r17t+msNqqqqjR//nxdc801ioyM\nVEZGhh5++GGdPXvWdFq7XnnlFU2cOFFxcXGy2+06cuSI6aQWS5YsUb9+/RQREaHc3FytW7fOdFIb\nxcXFmjFjhtLT02W327V8+XLTSRf1/PPPa+zYsXI6nUpJSdGMGTO0c+dO01ltLF68WCNGjJDT6ZTT\n6VR+fr5WrVplOqtDzz//vOx2u+bPn9/hvgwYAICg99JLL8nhcEiSbDab4Zr2jR07VsuXL9eePXu0\nZs0aWZalSZMmqampyXRaK+Xl5SovL9eLL76oHTt26I033lBxcbHuvvtu02ntOn/+vG699VYtXLjQ\ndEor77zzjh577DE988wzKi0tVX5+vgoKCnT06FHTaa14PB4NHz5cixYtUkREhN/+/ZGkoqIiPfro\no9qwYYM+/fRThYSEaNKkSaqqqjKd1orL5dILL7ygLVu2aPPmzbrllls0a9Ysbd261XTaRW3cuFFL\nly7V8OHDO/c9YAEAEMQ2bdpkuVwu69SpU5bNZrNWrlxpOqlTtm7datlsNmvfvn2mUzq0atUqy263\nW26323TKRX311VeWzWazDh8+bDrFsizLysvLs+bNm9dqW3Z2tvX0008bKupYdHS0tXz5ctMZnVZX\nV2c5HA7rww8/NJ3SoYSEBOuVV14xndGu6upqa8CAAdZnn31mTZgwwZo/f36H92EFAwAQtNxut378\n4x9r6dKlSk5ONp3TaR6PR8uWLVN2drb69etnOqdDNTU1Cg8PV2RkpOmUgNDQ0KCvv/5aU6ZMabV9\nypQpWr9+vaGq4FNbW6vm5mbFx8ebTrkor9ert99+WxcuXNDNN99sOqdd8+bN0+zZszV+/PhOv7mp\nTy5TCwCAP3rooYc0bdo0TZ061XRKpyxZskRPPvmkPB6PBgwYoNWrVyskxL//qa6urtavfvUrzZs3\nr9UbIeLizpw5I6/Xq9TU1FbbU1JSVFFRYagq+CxYsECjRo3SuHHjTKe0sX37do0bN0719fWKiIjQ\nihUrNGjQINNZbSxdulQHDhzQW2+9Janzh5jyTAAACCjPPPOM7Hb7JX8VFRXp9ddf17Zt2/TCCy9I\nUssrb519Ba67Wr//LuT33HOPSktLVVRUpCFDhqigoEBut9svWyWprq5Ot912W8sx5d3lSlrRszz+\n+ONav369Vq5c6ZfnjQwePFjbtm3Tpk2b9Oijj+pHP/qRSkpKTGe1snfvXv3yl7/Um2++2XIOm2VZ\nnXoO5TK1AICAUllZqcrKykvu43K59PDDD+u1115r9aq61+uV3W5Xfn5+t/wA2tnWiIiINtsbGxsV\nHx+vxYsX6/777++qxBaX21pXV6dp06bJZrNp9erV3Xp41JU8riUlJcrLy9OhQ4eUkZHR1YmX1NDQ\noKioKL399tu64447WrY/8sgj2rVrlwoLCw3WXVxMTIwWL16s++67z3TKJf30pz/VihUrVFhYqJyc\nHNM5nTJ58mSlp6dr2bJlplNavPrqq3rggQdahgvp2+dQm80mh8Mhj8ej0NDQdu/r3+uuAAD8QGJi\nohITEzvc77nnntMTTzzR8nvLsjRs2DC99NJLmjlzZlcmtuhsa3uam5tlWZaam5t9XNW+y2l1u90q\nKCgwMlxIV/e4+oOwsDCNGTNGa9eubTVgfPLJJ5o9e7bBssC3YMEC/eEPfwio4UL69gf37vq73lm3\n33678vLyWn5vWZbmzp2rnJwc/eIXv7jocCExYAAAglRaWprS0tLabHe5XMrKyur+oEvYv3+/3n33\nXU2ePFlJSUk6duyYfv3rX6tXr16aPn266bxW3G63pkyZIrfbrffee09ut7vlMK7ExMRL/tBhQkVF\nhSoqKrRv3z5J0s6dO3X27FllZmYaPfn38ccf17333qu8vDzl5+frN7/5jSoqKvTQQw8Za2qPx+NR\nWVmZpG+H3sOHD6u0tFSJiYlyuVyG61p75JFH9MYbb+i9996T0+lsOZ8lJiZGUVFRhuv+5qmnntL0\n6dOVnp4ut9utt956S0VFRfr4449Np7Xy3ft0fF9kZKTi4+M1ZMiQS9+5y65pBQCAn/HXy9QePXrU\nKigosFJSUqywsDDL5XJZ99xzj7V3717TaW0UFhZaNpvNstvtls1ma/llt9utoqIi03ltPPvss60a\nv/uvP1xudcmSJVZWVpYVHh5u5ebmWp9//rnppDa++3r/8Gs+d+5c02lttPd9abPZrIULF5pOa2XO\nnDlWZmamFR4ebqWkpFiTJ0+21q5dazqrUzp7mVrOwQAAAADgM1xFCgAAAIDPMGAAAAAA8BkGDAAA\nAAA+w4ABAAAAwGcYMAAAAAD4DAMGAAAAAJ9hwAAAAADgMwwYAAAAAHyGAQMAAACAzzBgAAAAAPAZ\nBgwAAAAAPsOAAQAAAMBnGDAAAAAA+AwDBgAAAACfYcAAAAAA4DMMGAAAAAB8hgEDAAAAgM8wYAAA\nAADwGQYMAAAAAD7DgAEAAADAZxgwAAAAAPgMAwYAAAAAn2HAAAAAAOAzDBgAAAAAfIYBAwAAAIDP\nMGAAAAAA8BkGDAAAAAA+w4ABAAAAwGcYMAAAAAD4DAMGAAAAAJ9hwAAAAADgMwwYAAAAAHyGAQMA\nAACAzzBgAAAAAPAZBgwAAAAAPsOAAQAAcBGHDh2S3W7X3LlzTacAAYMBAwAAoAM2m810Qoe+G4Ym\nTpxoOgU9XIjpAAAAAH+Vnp6uPXv2yOl0mk7p0HdDUCAMQwhuDBgAAAAXERISopycHNMZnWJZlukE\nQBKHSAEAAFxUe+dgzJkzR3a7XUVFRXr33XeVl5enqKgoJSYm6u6771Z5eXmbjzNhwgTZ7XYdPHhQ\n//Ef/6FBgwYpIiJCGRkZ+vnPf666uro297nU4U7/+q//KrvdruLiYknSq6++qv79+0uSPvvsM9nt\n9pZfCxcu9MVDAXQaKxgAAAAdaO+woyVLluiDDz7QzJkzNXHiRG3cuFHvvPOOtm7dqtLSUoWFhbW5\nz4IFC/TFF1/orrvuktPp1KpVq/Tyyy9r3bp1Ki4ubnOfzh7uNGrUKC1YsECLFi1SVlaW5syZ0/L/\nJkyYcFmfK3C1GDAAAACuwJo1a1RSUqKhQ4e2bPvJT36i3//+93r//fc1e/bsNvfZuHGjtm7dqvT0\ndEnSc889pzvuuEPvv/++Xn75ZT311FNX1DJixAg99thjLQPGv/zLv1zZJwX4AIdIAQAAXIF//ud/\nbjVcSNKDDz4oSfrqq6/avc+CBQtahgvp28Og/v3f/102m02/+93vrqqHczDgLxgwAAAArkBubm6b\nbd8ND1VVVe3eZ/z48W225eTkKCUlRfv375fH4/FtJGAAAwYAAMAViIuLa7MtJOTbo8+9Xm+790lN\nTb3k9traWh/VAeYwYAAAAHSTkydPXnJ7bGxsq+1NTU3t7l9dXe3bMMCHGDAAAAC6yWeffdZm2969\ne3Xy5EkNHDhQUVFRLdvj4+N19OjRdj9Oe+d4OBwOSRdfPQG6CwMGAABAN1m0aFGrocHr9erJJ5+U\npFbvtSFJ119/vQ4fPqzVq1e32r506VJt2LChzSVs4+PjJemiQwnQXbhMLQAAQDe54YYbNHLkSN15\n552KjY3V6tWrtWPHDuXl5elnP/tZq32feOIJrVmzRrfffrvuvPNOJScna/Pmzdq8ebOmT5+uDz/8\nsNX+0dHRys/P1/r16zVjxgyNGjVKoaGhGj9+vG666abu/DTRw7GCAQAAcBlsNlun3wDvh/f7z//8\nTz399NMqLCzUokWLVF1drccff1x//etfFRoa2mr/CRMm6IMPPtDIkSP17rvvatmyZYqLi9OXX36p\nMWPGtNvw+uuva9asWdqwYYOee+45PfvssyosLLzizxW4EjaLiyYDAAB0qQkTJqi4uFiHDh1SRkaG\n6RygS7GCAQAA0A2uZNUDCEQMGAAAAN2Ag0bQU3CSNwAg6NTU1JhOAFrxer2y2Wyqra3l+xMBzel0\ndrgP52AAAIIOP8ABQNfozIDBIVIAAAAAfIZDpAAAQa0zr7aZUlJSIknKzc01XNIxWn0vUDolWrtC\noHRKl78qzAoGAAAAAJ9hwAAAAADgMwwYAAAAAHyGAQMAAACAzzBgAAAAAPAZBgwAAAAAPsOAAQAA\nAMBnGDAAAAAA+AwDBgAAAACfYcAAAAAA4DMMGAAAAAB8hgEDAAAAgM8wYAAAAADwGQYMAAAAAD7D\ngAEAAADAZxgwAAAADDt2+oA+2vCW9h/faToFuGoMGAAAAF2gobFeDU31ndr35NnjGtovV0dO7u/i\nKqDr2SzLskxHAADgSzU1NS23y8rKDJagJ/t09wrZbXYNTbteR87uVWpsho5VfaNz9bXKG3CrvjlZ\nqqToNKUnZOvg6Z2K7hWn07XHZLfb5amv1ajMibLbeC0Y5mVnZ7fcdjqdHe4f0pUxAAAAPVVCVKok\nqa6+RllJQ3W4cpcSo3orMixa5xvqlBjdR2Unt+h49X41eRuU03uMmpob5G1qUqgjzHA9cOVYwQAA\nBJ3vr2B05tU2U0pKSiRJubm5hks6RuvlW7Xx90qO66MTZ45o/KjpckYlSJLWbftYFWePqFdTgnrH\nZena4UPV5G1UWEi4Nuz8RPExSYoIj9bmvUUa2m+shvXPkyRtP7BJuw9vkStlgMYNndStn4u/PKad\nESitgdIpXf5zKisYAAAAXWTs4Alttt04/FZJf/sBs1dYhKQISdL4kdNb9gsP7aUaz9mW3zc01ivv\nmok6WL6n64IBH2DAAAAA8JHPtvxZJ6uOa/iA63zy8Q6W71FcdKJcKQN88vGA7sCAAQAA4CP1jRd0\n3ZBb5D5XfdUfq3eiS7mO8frr5j8pLLSXQh2hSkvKuvpIoIsxYAAAAFyFhsZ6/bH4vxURHqlzFzyK\nDI9SadkX6pOYeVUfNywkXGlJmRo/crpsNrtcKf11vt7jo2qg6zBgAAAAXIGyY9t1qqpc12SOVkp8\nmgb2vVbn6z1KiuujWTfN9dmfk5E6sOW2wxGiGs9ZLf3zv8kZnaj/MeFBLmULv8OAAQAAcAX2Htmm\nuOhE1Z6rktR6EOgqYSHhmnXTHEnSx1++I1mWZOvyPxa4LIy8AAAAV8But6t/2mDtOrhZmak5pnMA\nv8EKBgAAwBVKS8oyduJ1r7BIfbj+TY0ZdJP6JvdT2bEdOlN9QiOyxykyPNpIEyAxYAAAAASkCaNu\n05GT36jKfUbeZq827y1WWlKm3OdqGDBgFAMGAABAJzU2Neis+7TKzxxSVe1p0zmSpLrztSr9Zr2u\nG/J3qv3eG/MBpnAOBgAAQCdVnD2m9dvXyG5z6JYxt5vOUXxMsiyrWfnXTlV2+rWmcwBJrGAAAABc\nlgF9h/rsnbqvVkykU+OunWw6A2iFFQwAAIBO2Lz3c23a/akiwqNMp1xUr7BIrdu2WjsOfGU6BT0Y\nKxgAAAAX0dzs1cETe9QrLEqVNRWaeeP9CnGEms66qKH9ctUvbbC+3PWp6RT0YAwYAAAAF9HY1KCv\n9hQpxBGq+obzsgXIu9odPLFHKXFpGtov13QKeiAGDAAAgB9Ys2mFvM1eWVazhmSN8ZtzLjqjV1ik\n7rj5H/XxphWKCI9SojNVJXuKlJ7cX4MyRpjOQw/AgAEAAPAD3mavpl1/t+mMK2K32eWMTtD1Q27R\n5n3r1NzcpCFZudp/fBcDBrqFzbIsy3QEAAC+VFNT03K7rKzMYAkCVemRIo3MGG86w6eC8XNC98jO\nzm657XQ6O9yfq0gBAAD0AHUXqnWi+qDpDPQAHCIFAAhqubn+e5JrSUmJJP9u/E6wt+4+vEX7j+/U\nqOwb1De5n041lXX559rdj2nvzARt3PkX5ebOvuz7BvvX34RA6ZRarwp3BgMGAADo8Y6e2q9r++ep\nsvakPilZqd4JLtNJPpee3F+RvWJMZ6AH4BApAACA70mJ76tbr7vLdAYQsBgwAABAj1a45QMdOfnt\nxQA8F+pkWc2Gi7pOY1ODyo7tUENjvekUBDEGDAAA0KOdr/foH6c/rSRnbzU3ezU4Y6TppC6Td80t\n2nukVNV1Z0ynIIhxDgYAAICk6IhY3TBsqumMLtUn0RWU55fAvzBgAAAA9FBN3kZZlhTiCJHNZjOd\ngyDBgAEAANCDpCa4tGHnJ4qPSdahin2q9VTpkdsXms5CEGHAAAAAPZK32avSsi9Ud+7yrvEf6Fwp\n/ZUYm6I/Ff9OkeFRSnb2MZ2EIMOAAQAAeqQmb6OOnjqgyWPvMJ3S7XqFRWji6JkKD+ulTbsKTecg\nyDBgAACAHud8vUcnq44rJtKp+Jhk0zndzm53KC0p03QGghSXqQUAAD3OniNbdbB8j4b1zzOd4hdK\n9hapuq7SdAaCBAMGAADoUT7a8KaOnvxGo3JuUEp8X9M5xt08YppCHGE6fvqg6RQECQ6RAgAAPYrN\nZteMG39iOsNvREXEKiEmSXXna02nIEiwggEAAADAZ1jBAAAAQe9UVbkKt3ygmEinPOfdpnP8jt0e\notJvNqiy9pQGZYxQKoeO4SqwggEAAIJeY1O9BmeM1LTr79bsifNM5/gdV0p//WTyfMXHJOkvJX80\nnYMAx4ABAACCmvtcjU5XnzCdERCG9c9TRupAvfnJf+ls7SnTOQhQDBgAACCobdj5iZq8jcrsnW06\nJSDcNLxAOa7havI2mU5BgLJZlmWZjgAAwJdqampabpeVlRksgT/YfuwLDUm7Tg47p5521oFT25UU\n01exEQmmU+AHsrP/Npw7nc4O92cFAwAAAIDPMMoDAIJabm6u6YSLKikpkeTfjd8J1Nb1Oz7ROeus\nRo8eo9CQUMNlrfnzY2rt8SgzNVsp8WmS/Lv1hwKlNVA6pdarwp3BCgYAAAha1XVn9MjtC/1uuPB3\nCTHJWr9jjTbtLjSdggDECgYAAABaGdB3iHonulSyp8h0CgIQAwYAAAgaDY31amiql6Vmfbj+TbnP\nVZtOCmj7jm6TMypBUpjpFAQQBgwAABA0PtrwptxV52TJ0oTrpiqzd47ppIAVGR6te6f+VH/d/Eel\nhg4ynYMAwoABAACCRnhYhFx9h0sSw8VVstls6hUWIZuNU3ZxefiOAQAAwEV5zrtVXrXfdAYCCAMG\nAAAALir/2ik6dGaX6QwEEAYMAAAQFM7Xn5PX22Q6I+j0Tc5SbESithwu1InKo6ZzEAAYMAAAQFB4\n85P/rURnqumMoHRter76Jw/T+h1rVLz1I9M58HMMGAAAICikJWUq/9oppjOCljMySXeM/0fVna81\nnQI/x4ABAAAAwGcYMAAAQEA7X39OOw+WqKmp0XRKj9DY1KC3/vJ/TGfAjzFgAACAgHSgfLe2H9ik\nMzUndKLyiG4YNtV0Uo8w88b7FRsZL/e5GnmbvaZz4Id4oz0AABCQtn6zQd7mJsVGJSg1Pp0TvLvR\nwL5DtfrLtyVJg1wjNGLg9YaL4E8YMAAAQEAKD4vQTcML5D5XrfiYZNM5PcrgzJEanDlSngtulewp\nMp0DP8OAAQAAAlZMZJxiIuNMZ/RYNptNB0/skSSNHzndcA38BedgAAAA4IpEhkdrTsHP5bngNp0C\nP2KzLMsyHQEAgC/V1NS03C4rKzNYgq5UeqRIIzPGm86A+FoEu+zs7JbbTqezw/1ZwQAAAAGlyduo\nz/a8q7CQXqZT8P81NF3QyZrDpjPgJzgHAwAQ1HJzc00nXFRJSYkk/278jj+1NjTWq85xQpNy/6Hd\n/+9PrZcSKJ1Sx60prjgVb/1If597R3dmtStQHtdA6ZRarwp3BgMGAAAICO99/qqq684oNipBsZzY\n7VcyUgcqITbFdAb8BAMGAAAICGGh4bpnygI1NNUr1BFmOgc/YLPZtWrD75U7+GalxPc1nQODOAcD\nAAAEjBBHqCLDoxUawoDhbwquu0tD+o3RmZoK0ykwjBUMAAAA+ER0RKy2fbNR67Z9LFfKABVc/yPT\nSTCAAQMAAPi9FYX/Vw67w3QGOpDk7K0ZN94nSVq18feGa2AKAwYAAPBb7nPV+nLXpwp1hOr2mx8w\nnQOgExgwAACA36r1VCs+JknjR95mOgVAJzFgAAAAv1S89SNVuc9odM6NCg0JNZ0DoJMYMAAAgN9Z\nWfRb2WTTjBvvU4iD4QIIJAwYAADAbzQ2NeitT/5LaUlZmjzW/LtC48qlJWbqtx/+WnHRiYrsFa2Y\nyDjdNLzAdBa6AQMGAADwG5YspSX30+TcfzCdgqs0MjtfIwaOk81mk8RVpXoS3mgPAAAAXeK74QI9\nCysYAADAL7jP1ejY6QOmMwBcJVYwAACAXzhQvktV7jMak3Oj6RR0gYbGep2uPmE6A92AAQMAABi3\n48BX2lK2Xpmp2UqITTGdgy6Q4xqm99ctN52BbsAhUgAAwLgjJ7/RvVMfk93Ga5/BakjWGB2q2KeK\ns0f1xfY16p3g0g3DpprOQhfgbzEAADBqZdFv5bnglsPu4KTgIJeZmq2SPcXKv3aqajxnTeegi7CC\nAQAAjIoIj9K06+82nYFuMLRfrob2y5UkbSkzHIMuY7MsyzIdAQCAL9XU1LTcLivjpxh/V3qkSCMz\nxpvOQDfj6x44srOzW247nc4O92cFAwAAGOGpr9Hu8q8U6ggznQIDPPU1Kj1SJG9zk4b2vV69QqNM\nJ8FHWMEAAASd769gdObVNlNKSkokSbm5uYZLOubr1r1Htmrr/o26JnOUhvXP88nH/E6gPK6B0il1\nbeum3YXq12ewkuP6+OTjBcrjGiid0uU/p7KCAQAAut3RU/s168Y5CgsNN50CwMe4ihQAAACMSY3v\nqy+2f6z1Oz4xnQIfYQUDAAB0i8amBr3y5+fUKzRCEeFRXJIWkqTM3jlKdPbW1/s+N50CH2HAAAAA\n3SYnfbgmj73DdAb8jMPu0PHTh7Rm0x80NW+26RxcJQ6RAgAAXe7gib36aMObio7035PuYU5EeJTu\nnvSIvM1NplPgA6xgAACALlXrqdLRU99o7OAJ6pvcz3QO/Fytp1p152uUEJuiXmERpnNwBVjBAAAA\nXapwy/uK6hWj+Jhk0ynwc5U1J/X62v+l7Qc26eCJPaZzcIVYwQAAAF0qNCRcYwbdbDoDAeCuW/5J\nltWs8srDKj9zWLWeKsVGxZvOwmViBQMAAPhcjeesPlz/praUfWE6BQEkLDRc4WERSo5LU0R4lF77\n+GV9vnWV6SxcJlYwAACAz3nOu9U3uZ++3ve5LMsynYMAEx0Rq9E5N2rkwHFa/eU7pnNwmRgwTIvl\nywAADidJREFUAACAT52uPqFvju9UTGScfjxpvukcBDC73SFvs1flZw4rJT5NIY5Q00noBA6RAgAA\nPvP1vnX6Y9F/Ky0pUzmuYYoIj1REeKTpLASw4QOu0xfb16i6rtJ0CjqJFQwAAHDVmpu92nGwRGVH\nt2tOwc8UFtqLd+qGT2T1ztGpquM6W3tKDrtD4WERigyPNp2FS2AFAwAAXDVvc7P2Hd2qiaNnKDws\nguECPjWg7xDVeKq053CpPvziDdM56AArGAAAwCdioxKUEt/XdAaCUGJsqhJjUyVJVRvPGK5BR1jB\nAAAAV6X8zCGt/vJtTsBFt/Ccd2vf0e2mM3AJDBgAAOCK7TxYor+U/Emjc27QLaNnms5BD3DdkFv0\n1e5C0xm4BJvFxakBAEGmpqam5XZZWZnBkuBXeqRIw9JvlN1m57wLdJvjVd/oSOVeZSUNUZ+4fqZz\ngl52dnbLbafT2eH+nIMBAAAuS+35Sm0/tl7nGmoVYg+Tw+4wnYQepm/8QMX2StC+k6U67T6u4a4b\nTSfhe1jBAAAEne+vYHTm1TZTSkpKJEm5ubmGSzr2XWtYvFdlx7ZrSNYYXZM5ynBV+wLlcQ2UTsm/\nW5f++d90TeZo2e0Ojc65UTu27ZTkn63f58+P6Q9d7nMqKxgAAKBTdh3fqKZT53TP5AUKCw03nQNI\nku6e9Kiam73avPdzec7Xms6BGDAAAEAHmq1mnao9Kk99rf5p5i9M5wCtREfESpJSE9JVtPUj6Xy4\nMhIHGa7q2RgwAADAJXm9XpWdLNWg3mNMpwAXNSRrtDJ7Z+u3f3pRB0/v1NFz25TjGq6M1GzFRPrv\noZLBiAEDAAC064vta3SoYp9CQ8LUP/laJcWkmU4CLimqV4xuyJ4hy7I0YFCW9hwp1bHTB/z2fKFg\nxYABAADaWLbqRaUlZeonk+dL+tsJqUAgsNlsSohNVu8El9znqtXY1KDQkDDTWT0Gb7QHAABaVLnP\n6E/Fv1OfxAxNzbvTdA5wVRJjU1RZe1Kvffyy/lj036ZzegwGDAAAIElqbGpQlfuMsvoM0q3X3WU6\nB7hqzugE3TJ6pv7n9KfkcDi07+g21dSdVWNTg+m0oMYhUgAAQDsPlujLXZ8qI3Wghg+43nQO4HN5\n1/ydjp8+oG+O79Tp6hPKu2Yi52Z0EQYMAAB6MK+3SSuLfiu73aHbb35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MkiIlhPCF1wHGmjVrcODAAWRkZEBbWxteXl5Ys2YNXFxc+GyGvEQoEEJXW4+T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\nslRilUiSSkqKHePd2yXr9t7/z1QsXKUA/0A1CotWWEgDZWYflyT9cHi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"text": [ - "" + "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ - "output mean, variance: 0.0019, 2.2493\n" + "output mean, variance: -0.0020, 2.2553\n" ] } ], - "prompt_number": 7 + "prompt_number": 8 }, { "cell_type": "markdown", @@ -636,6 +621,35 @@ "Although the shapes of the output are very different, the mean and variance of each are almost the same. This may lead us to reasoning that perhaps we can ignore this problem if the nonlinear equation is 'close to' linear. To test that, we can iterate several times and then compare the results." ] }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "out = h(data)\n", + "out2 = g(data)\n", + "\n", + "for i in range(10):\n", + " out = h(out)\n", + " out2 = g(out2)\n", + "print ('linear output mean, variance: %.4f, %.4f' % \n", + " (np.average(out), np.std(out)**2))\n", + "print ('nonlinear output mean, variance: %.4f, %.4f' % \n", + " (np.average(out2), np.std(out2)**2))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "linear output mean, variance: -0.1129, 7499.3714\n", + "nonlinear output mean, variance: -2.0601, 26297.8576\n" + ] + } + ], + "prompt_number": 21 + }, { "cell_type": "markdown", "metadata": {}, @@ -675,11 +689,11 @@ "output_type": "display_data", "png": 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GDiKaea4fYrtvo6Pb6HsD9Nwe8vkE9VoR1TJPDSciul1JmuLyjo3Qz2FD3cBK\nXcVqU0Ymwydx6GoMHUQ0s3TLw3bfRt96u1+jVMpgZaGIksi7PyKiOxGECXYGERpaBcdqS9hYVKFV\neXYRXRt/6xLRTEnTFF3DxXbPwsCx0HV7sEMTSqWAjYaEAvs1iIju2MAM0O7GqAkNnGis4cSShiJP\nF6fr4HcHEc2EKE6w07exO7AxcA103R7CxIWmFLFYrSLHfg0iojuWJCm2uy5cL4tFcQkLchnvP9bg\ndiq6IYYOIppqXhBhu2ehY9jouwP03D5y+Rg1TUBVqvIXIRHRIfGDGFd2HIi5Kk5oi+h7F6CWBd7P\n0k1h6CCiqWS5Ado9C13DQt/rY+ANUBIzWFooQhK5p5iI6DANp1MFaEotLMp1nFjW8KqxNe6yaIow\ndBDRVNEtD+2ehZ5lo+t2YAYm5Eoe68sljmckIjpkUZRgs+MgCQVsqMexpClYW1A4YpxuGUMHEU2F\nvunuhQ0LHbcDN7KgVQXc1aqwX4OIaAQMO8B214MmNrBYb2JjUYVSEcddFk0phg4imljvnETVc0x0\nnQ782EFN4WF+RESjEicp2h0XnpfBWnUdLVXFxqKKfI7T/+j2MXQQ0cRJkhQd3cF230LPMdCxO4jg\noaGKWK2wOZyIaFRsN8LWroNKQcXdtRaOtVQ0FGncZdEMYOggookRxwl2BjZ2+jZ6jo6u20GaCdGo\nFSHz5HAiopFJ0xS7fQ+GlWCxsoqWrOH4osqzN+jQ8DuJiMYujGLs9G3sDGz0nAG6bhe5fIxmvYiK\nxP3DRESj5AUxNnccCNkyTqhLWG0qWKxVuKpMh4qhg4jGJghjtHsWOrqNrttHz+lCKKZYWhA59paI\naMTSNEV34KNvRFgoL6JVrWFjUUW5JIy7NJpBDB1EdOS8IEK7Z2F3YKHn9dF3eyiVMlhdFCEWOfaW\niGjU/CDGVsdFLhVxXF3Dcl3BSkPmgA4aGYYOIjoyjhcOw4Zhoef0MPD7qEg5HFsqoSgwbBARHYWu\n7qM3CNCUFtCSG1hvKahKxXGXRTOOoYOIRs72IrxxuYuuaaHr9GAEOuRKHscbZRTyHMFIRHQUgjDG\n5q6LTFLEhnocyzUVq02ubtDRYOggopHRLQ/ndywYrgezdB5mYECtFnBiocx570RER6hv+NjtB2hK\nTbSqDay3VMhlrm7Q0WHoIKJD1zOGp4f3bQsXjE14iYsVsYq7WlWeHk5EdITCKMHmroM0ErChHMdS\nTcFaU0Y6shOnAAAgAElEQVSOT/zQEWPoIKJDsX96eLtnof+O08NFKUBDKqChcfQtEdFR6uk+OoMA\n9VIDi2oTx1oK1Arvi2k8GDqI6I6kaYqe4WKrZ6Fr6+86PTyw2SBORHSUPD/GVsdBLi1hQzmORU3G\n2oLCba00VgwdRHTburqDrZ6Fnm1g195FkvF5ejgR0Zgkyf6p4jEWyotoVjQcW1CgcHWDJgBDBxHd\nsp7hYqtroueY2LV3hysbWhFKpTru0oiI5pLlhGh3XEgFGSe0BSzXFSzXq5xMRRODoYOIblrfdLHZ\nMdF3TOzYuwhTF01NZNggIhqTKErQ7rnwvSyWKmtoVhWst1RIYmHcpRFdhaGDiG5oYHnY7Jh726g6\nCFIHDXUYNjIZPotGRDQOAzPATs+DJtZwrL6AlYaMBa087rKIromhg4jek2552Oya6Fkmdp1d+LGD\nhsawQUQ0Tn4QY6vjArGAdeU4FhQZxxYUCAUO7qDJxdBBRO/ydtiw0HF24cU26moRq1WGDSKicUnT\nFJ2Bj74Roik1saA1sLYgQ6uWxl0a0Q0xdBDRAcP2sdk10TVNdNzOMGwoAlYYNoiIxsp2I7S7LorZ\nMk6oa1iqKVhpVHnIH00Nhg4igun42OyY6FoWdvdWNmqygBW5wrBBRDRGUZxgp+fBcVIsVpbRrGpY\nbykol4Rxl0Z0Sxg6iOaY5QbDsGEOw4YTmagpRSxXKxyzSEQ0Zro1bBSXBQ1315tYaShoaWU+GURT\niaGDaA7ZboDNromOYaHjdmCHBjRZwJLMme5EROMWhDHaXRdxmMdadR1NWcF6S0FR4MM2ml787iWa\nI/tho2ta6DgdmIGBmixgscWwQUQ0bmmaoqv76OshaqUGWvUGVpsy6oo07tKI7hhDB9EccLxwb2XD\nRNfpwgh01GQBd7WqyDFsEBGNnetF2Oq4KGRK2FBXsagpWG3KyLNRnGYEQwfRDPOCCFd2jeE2qr2V\nDVUuMGwQEU2IKEqw3fPguikWyksHjeJVqTju0ogOFUMH0QwKoxhbXQvbfRO7Tge6P4BazeP4QpnP\nmhERTYD9rVQ9PYQmalipN7BUk7FU59RAmk0MHUQzJI4TbPdttHsmOk4PPbeLajmHE02GDSKiSWHa\nIbZ7LsRcBcfVVSwoMlabMk8Up5nG0EE0A9I0xe7AwVbXRMfuo+PsQiwB68sl/hIjIpoQfhBju+ci\nCvNYKq+hUVGwtiBzKxXNBYYOoinXN11c6ZjoWgPsOLvI5iKstESURP54ExFNgjhJ0el7MKwYDamB\nplzHcqOKploed2lER4aPSoimlOn4w7BhGti2dxDDw0JdREUSx10aERHtGZgBdvseqgUFJ7QmFjUZ\ny40qt7zS3GHoIJoyrh/iSsfErm5ix9mBF1loaCLUanXcpRER0R7Hi7DddZFNRaxVN9CUZawtyCgV\nC+MujWgsGDqIpkQQxtjsmtgZmNi1OzCCAWqKgGWeIk5ENDF+fwRuo6JitSlDq5bGXRrRWDF0EE24\nOE6w1RuOv+3YXfS8HpRKHicWKlyeJyKaENcagbtcl9HSKnxiiAjAdR+xfPOb38QDDzwARVGwsLCA\nhx56CK+++uoNP+lvfvMb/Omf/ikkScLq6ir+8R//8dAKJpoXaZpiu2fhf97awf9uXsYb3d/Bz+g4\nvlJGq15i4CAimhCmHeLNyyY8R8Bx9Tje1zqGPzy+iKU6V6KJ9l13pePll1/G448/jgceeABJkuCp\np57Cxz/+cbz22mvQNO2aH2MYBj7xiU/gox/9KM6ePYvXX38dn//851Eul/HEE0+M5IsgmjVd3cFm\n10TXHmDH3kVBiLG2WIJY5PhbIqJJwRG4RDfvuqHjhRdeuOr1H/3oR1AUBa+88go+/elPX/Njfvzj\nH8PzPDz77LMoFou477778Nvf/hbf/va3GTqIbkC3vOFEKtvAjrWDNOuj1RBRkbgXmIhoUsRJit2+\nB5MjcIlu2i3tzzAMA0mSvOcqBwD86le/wkc+8hEUi2+n/E9+8pPY3NzEhQsXbr9SohnmeCH+36Uu\nXr3Yxhu7b2HTughNA46vVFGROOmEiGhSDMwA5y6bQCDhLu0uvG9xFR84vsDAQXQDt9RI/oUvfAEf\n+tCH8OCDD77nbdrtNo4dO3bV21qt1sH71tfXb6NMotnkB9HB+NtdZxdWaKCuFLEiV5HJcB8wTa/X\nX5dw373jroLo8NhuhJ0eR+AS3a6bDh1PPPEEXnnlFfzyl7+87oOh23mgdPbs2Vv+GJpu837NkyRF\nx/TRMVwMAh1mZKAiZaBWcmjbGbQ3x13h4Xvt9dfGXQIdoddfL/Oaz6lZu+5BmKBnxoiCHGpFDUox\nga+0YbhdvLo97uomw7z/Tp8nJ0+evO2PvanQcfr0aTz33HN46aWXsLGxcd3bLi4uot1uX/W27e3t\ng/cRzbuBHWBX99D3DQyCPkQxxbKWRz7HlQ2afq+/LuH118v4t//bBADce6+Ne+91xlwV0a2L4hR9\nM4LnZaAUNKgVGfVqEbVKkROpiG7DDUPHF77wBTz//PN46aWX8L73ve+Gn/DBBx/El770Jfi+f9DX\n8eKLL2JlZeU9t1adOnXqFsumabX/bMg8XnPbDXBp14Bn6hDEbbRyOdxfX575iVT7z3red+99Y66E\njsJ99759zb/8f5oAmuMtiI7MrPysx0mKTt+DYUVYbtbQKNfR0qpYqlWQ46jyq8zz7/R5pev6bX/s\ndX96HnvsMfzgBz/Aj3/8YyiKgna7jXa7Ddu2D27z5JNP4uMf//jB6w8//DAkScKjjz6KV199Ff/6\nr/+Kb33rW5xcRXMrjGKcbw/wP+fbeGP3Aq5Yl6BpGWwsV2Y+cND8uvde+8Y3Ipog+4f7vXnJRBpI\nOK7dhXuWhudtrDZlBg6iO3TdlY7vfe97yGQy+NjHPnbV27/2ta/hqaeeAjBsDj937tzB+2RZxosv\nvojHHnsMp06dQq1Wwxe/+EWcPn16BOUTTa40TbHTt7HZNbFjd9B3u1CqeZxo8XRamn3cUkXTZGAG\n6PQ9iPkKNpQVNOQKVptsEic6TNcNHUmS3PATPPPMM+962wc+8AG8/PLLt18V0ZTTLQ+Xdw10rAG2\n7R0UiwnWlyUIBa5sEBFNCssJsdPzkIOIleox1CsyVps83I9oFG5pZC4RXZ8fRLi0a2BHN7BjbyNI\n3b3D/fhsGRHRpHC9CDt9D3GUx4K0jHpFxXK9iprMg1iJRoWhg+gQxHGCrZ6Fra6BXacD3e+joRax\nKld43gYR0YQIwhg7fQ+eCzSkBTQUDUv1KpqqxPtqohFj6CC6Q13dGR7wZ/XQcXdRLmVwYrWCPJsO\niYgmQhQn6Ax8GFaEWqmOtXodi7UqWlqZDeJER4Shg+g27Y/A7Zg6tq1tIBditVXiRCoiogmRJCl6\nuo++EUIuqrhba2BBrWC5UUUhz/tqoqPE0EF0i8IoxpWOie2+gR1nF05koqkVoVQq4y6NiIgwnB44\nMAN09QClXAUb6iqachUrTRmiwIc+ROPAnzyim3StEbiqXMAJhSNwiYgmhWmH2Ol7KKCE1co66tUq\nVpsyKiVh3KURzTWGDqKb8M4RuG17G2IxxcZKGYU89wITEU0Cx4uw0/OQxnkslldRL8tYacpQK+K4\nSyMiMHQQXdc7R+BuW9uI4GKpWUK5xB8dIqJJ4Pkxdvse/CCDptRCo6xhqV5BQ+FEKqJJwkdORNeQ\npinaPQubXQPb1u7BCFyNI3CJiCaC58foDDx4HlCX6liv17BYq6Clccsr0SRi6CD6PZYb4EJ7MNxK\nZbVRljgCl4hoUnhBjE7fg+ulaEgNrNU1tLQKWjXeTxNNMoYOoj1xnODyroF230Db3oaf2FhulSCJ\n/DEhIho3P4ixO/DguinqDBtEU4ePpogA9E0Xl3YM7Fgd7Dq7qMkFrKjcSkVENG5+EKMz8OF6KTSx\nhtW6hpZWxSLDBtFUYeiguRaEMS7u6Nge6GhbW8jkQ6wvSSgKPDSKiGicgnAYNmwngVaqYaVWw4Ja\nwWKtwoP9iKYQQwfNre2ehSudvUbxoIemJkKt8oA/IqJxCqMEnb4Hay9sLO2FjaU6wwbRNGPooLnj\neCEubA+wa+rYsrZQEoHjK1ymJyIap/2wYToxamINd2n7YaMKocCwQTTtGDpobiRJis2uic2ujm17\nB05kYLFRQkUqjLs0IqK5FUUJOgMfhh1BEzXcrdUPtlEVBT5MIZoV/GmmuaBbHi7u6Ngxe9h1dqBU\nczjRqnKWOxHRmERRgo7uw7QiKMVh2GiqFSwxbBDNJP5U00wLoxiXdgxsDwxsWVtIsz7WlkoQ2ShO\nRDQWUZygO/ChWxGUoooTWh1NZbiNSmTYIJpZ/OmmmbU7sHF518COtYu+10NdFVBT2ChORDQOUZyg\np/sYmO8IG3IFyw2GDaJ5wJ9ymjleEOFCe79RvA1BiHF8pYx8no3iRERHLU5SdAcedDNCVVBwQq2j\nsRc2SkX21BHNC4YOmhlpmmKra+FKR8eOvQMrMtCqiaiWxXGXRkQ0d6I4Qd8IMDBCVAUZx9UGGvJw\nG5UkMmwQzRuGDpoJlhvgQnuAHbOPHWcblXIWx1sV5NgoTkR0pKIoQVcf9mzIgowNdRUNuYplhg2i\nucbQQVNtfwzulc4AbauNIHWwslBCSeS3NhHRUQqjFLodI3/FHvZsqDXU5eE0qnJJGHd5RDRmfGRG\nU8t2A5xvD7Bt9rBjb0OT81hRK8hkuLpBRHRUvCBGd+BjqxNBziu4W7sbDaWMxVqFPRtEdIChg6ZO\nmqbY7Ji40h02igeJjbVFCWKRY3CJiI6K60Xo6j5cL0WtVMeatAatUsQfnVjkORtE9C68V6Cp4ngh\nzrcH2DF72La3IVeyWNG4ukFEdFRsN0Jn4CEMs2iUGlirq1jQKpB9B/lcloGDiK6J9ww0FdI0Rbtn\n4fLucHXDSyz2bhARHSHTDtHVfSRxHvVSCzVFxYJaxoJWRj6XRfsCx5IT0XvjIzaaeF4Q4a2tPnbM\nAdrmFqqVLI5rFWQ5mYqIaKTSNIVhh+gOfGRTAXVpETVJxYJWRlORkMsxaBDRzWHooIm23bNwuaNj\ny2zDjgwstyRIXN0gIhqpNE0xMAN0dR9CRkJLWoUmVbFYq6AuS3zSh4huGR+90UQKwng4mcoYYNPc\nREXK4ESryl90REQjlCQp+maAvhFAzEpYqbQOwkZNLrF/johuG0MHTZye4eLC9gBtcwdG2MdiQ0RF\n4thFIqJROTg93Awg5atYqy5DK5exVK9CrYjjLo+IZgBDB02MOE5wYVtHe6Bj07yCghBjY3nYoEhE\nRIfvXaeHK6uoVSpYrFUgl4vjLo+IZghDB00E0/Fxvj1A2+yg6+yiWStCrfLZNSKiUQjC4YF+phPz\n9HAiOhIMHTRWaZri8q6Bza6OTXMLSdbDxkoZhTxXN4iIDtv+6eGOm0ATNdyt1Xh6OBEdCYYOGhvX\nD/HW1gDbRg/bdhuakkdDrYy7LCKimWM5IXqGj8DPQCvVsFzT0NwLGzzMj4iOAu9paCx2BzbOt/to\n29twYxNrixLEYm7cZRERzYw0TaFbIXq6j0xaQK3UglZV0FAkLNYqKOR5n0tER4ehg45UkqTYGrjw\nr+zgsnkZFSmD4y0e9EdEdFiiOMHACDCwQhSzpYMzNhbUMho80I+IxoShg46M64d4a8dC19XhVhO0\nGkXIZTYsEhEdBj+I0TcCGPZwEtVadQVauYyWVoFWFXnGBhGNFUMHHYmu7uD8dh9XrG0EsPGh5WUI\nBS7tExHdKduN0NN9eH4KTdRwQtPQqJbRqlVQ4SQqIpoQDB00Umma4uK2jiu9Aa6YV5ApOFhSCgwc\nRER3YL9fo2/4SJMCamITx+oKGkoZLa3M5nAimji8V6KR8YMI57b62NK72LHbaNaK8CyOZCQiul1x\nkqJv+OgbAYpZCU1pBVpJxoI27NfgYapENKkYOmgk+qaL8+0BNo0t2LGBtSUJopDD5rgLIyKaQkEY\no2cEMKwIVaGKteoytHIFLa2MmlxivwYRTTyGDjpU+4f9XekOcNm4jEIx5nQqIqLb5HjDfg3XS6GK\nKk5oNdSrwy1UVak47vKIiG4aQwcdmiCMcW6rj7beRdtqo6EVoMnlcZdFRDRV0jSF6YTo6QHiKId6\nqYG1uoq6LKFVq0BkvwYRTSHec9GhMGwfb231ccVowwz6WG1JKIn89iIiullxkmJgBujrPgrZEhql\nJajqsF+jqZbZr0FEU42PCumObXZMXNrt47JxBblCiOOrVeS4nYqI6KaEUYKe7kO3QlQEGavVRahS\nBa1aBXX2axDRjGDooNsWRjHe2hqgrfexZW1ClXNoqNxORUR0M1wvQtfw4boplKKKE6qGWnV4mJ9c\nZr8GEc0Whg66LZYb4NxmH1vGNgZBD8sLJUjcTkVEdF3752sMzABRlEW9VMdKTT04X6NU5FhxIppN\nfJRIt2x3YOOtdg9XjE2kOQ8by9xrTER0PWGUoG8Mt1CJOQmN0jJUsYqGImFBK6OQ54GpRDTbGDro\nllzeNXBxt4dLxiUo1SyaWmXcJRERTSzLCdE3Anj+cAvVhqJCLZfRVCSer0FEc4Whg25KkqTD6VT9\nHjbNK1ioC1AqwrjLIiKaOAdTqAwfeRShik0cqyuoyRIW1DIkkVuoiGj+MHTQDYVRjDc3+7jS38Wu\n28ZKS2L/BhHR7/GCGH3dh+nEqAhVrFRaUEoVNNUyGorEbahENNdueA/47//+73jooYewurqKbDaL\nZ5999rq3P3/+PLLZ7Lv+/PznPz+0ounouH6I317s4Hz3CjpeG+tLZQYOIqI9w8bwAOc3LVze8lBI\nVZzQ7sL7Wxv4w/UV/OGJFhZrFQYOIpp7N3z0aNs2/uiP/gh/+7d/i0ceeeSm95/+7Gc/w/3333/w\nuqZpt18ljYVh+3hzs4dL+hWEsLGxzF+cREQAEEUJ+maAgRmgmJVQLy1CVRU0FAlNRUKRp4YTEV3l\nhveKn/rUp/CpT30KAPDoo4/e9Ceu1WpYWFi47cJovDq6g3NbXVzSL6NQjLDeLLPhkYjmnu1G6Js+\nHDeBLChYl1ehliU01TJq1RKyPBiViOiaRvZUzGc+8xl4noeTJ0/i9OnT+OxnPzuqf4oO2ZVdAxd3\n+7hoXNybUCWNuyQiorFJkuEWqr4RAGkBNbGBlZqCujwMG5USh2oQEd1IJk3T9GZvXK1W8Z3vfAeP\nPPLIe96m2+3ihz/8IT784Q8jn8/jJz/5Cb7xjW/g2Wefxec+97mD2+m6fvD3N9544zbLp8OUJCk2\n+y52LRM73jY0OYuqxNnxRDSfgiiBYSdw3ARirgS5oKAqlKCWBahlgdtNiWjunDx58uDviqLc0sce\n+kpHvV7H6dOnD17/4z/+Y3S7XTz99NNXhQ6aLFGc4HLXwa6tox900dRyKBX5C5WI5kuapnD8BIYd\nIwyzkPMyVkoVVEtFaOUiqqU8t5oSEd2GI+l0e+CBB/D973//Pd9/6tSpoyiD3oMXRPjdlR6qQhtx\nkOL+1hKKwmhWOF57/TUAwH333jeSz0+Th9d8/kzjNY/iBANj2BhekUu4Z02DWpJRl4cnhotsDL+h\ns2fPAuDv9HnCaz5/3rlT6VYdyb3or3/9aywvLx/FP0W3yHR8/O5KD5eNTQSpxQlVRDRXbDfCwAxg\nuzFkQcZqdRmqVMaCNmwMz/H+kIjoUNzUyNz9noskSXDhwgX8+te/Rr1ex9raGp588kmcOXMGv/jF\nLwAAzz77LARBwAc/+EFks1n89Kc/xXe/+108/fTTo/1K6Jb1DBdvbnZxybiMnBDgWKPMyStENPOi\nOIFuhRiYATJpAapYw5KmoC6X0VQlVKXiuEskIpo5NwwdZ86cwZ/92Z8BADKZDL761a/iq1/9Kh59\n9FF8//vfR7vdxrlz5w5un8lk8PWvfx0XLlxALpfDPffcg2eeeQYPP/zw6L4KumUd3cGbmx1c0C+i\nWgEWauVxl0RENFL7425tJ4ZclLFcHp4Y3lAk1GUJQoGDM4iIRuWGoeOjH/0okiR5z/c/88wzV73+\nyCOPXHe6FY3ffuA4r1+ApuRQV/isHhHNpihKMLCGvRo5CFDFOlbqKrRKCQ1FglIRx10iEdFcYGfc\nnNkd2Hhza7jCUVNyqDFwENEMspzh9inHS4a9GpUlKNL+qkYJhTxXNYiIjhJDxxzZ6ds412bgIKLZ\nFEUJBuZwVSOfKULdO8SvVpXQUCTIZd7nERGNC0PHnDgIHIMLqGt5aDJ/+RLR9EvTFJYznEDl+glk\nQcFqdRmKVEZDGYYNTuQjIho/ho45sN2zcK7dxUX9Ahq1AtSqMO6SiIjuSBDGGJgBdCuEkC1BKTax\nWhueq9FQOIGKiGjSMHTMuHbPwlvtLi4aDBxENN2SJIVhD3s1whBQiirWZRWKNOzTqHNVg4hoYjF0\nzLB2z8K5dgeXjItoaAwcRDSdXC+CboUw7BBSvoyGuARFlaFVRDQUCeUS79uIiCYdQ8eMemfgaNYK\nUCr8pUxE0yOKExh7B/ilSR6KqOCEqkAtD7dPadUSDzMlIpoiDB0zqKM7eKvdZeAgoqljOSEGVgDH\nTVARqlgst6CIFdTk4bkaosBfW0RE04j33jNmYHk4t9XFxb0tVQwcRDTpgjCGboXQ3zHqdlmToe2N\nulXKRWQyXNUgIppmDB0zxHR8vLnZxUX9IlQ5yx4OIppYcZLCsIbTp8IQkItXj7rlAX5ERLOFoWNG\nuH6I313p4cLgEkpSioZaGndJRERX2T9TQ7cD2E6MilBFQ2xCUatQKyLqcomjbomIZhRDxwzwgwhv\nXO7hon4ZeSHEYl0ad0lERAf2p0+ZzttnaqzUZShlEXVZgloR2RRORDTjGDqmXBwn+N2VHi4NriDJ\nOlhrlsddEhERojhFp+9Bt/9/e/ceI1dd/3/8NWfO/ZyZ2Uu73d229sK3vx8FxPx+EBK8IuEiBir+\nIVgkUBJNjMYEQUPEEiAiyj8YFEhQpBRjNP5hIuo/rYIQIiStFmOtEvwBpaXs9ro7u3M9Z875/TG7\nS0vpBbqzZy/PR7KZ2TPT3Xc5XXZe8/68PyeSJnafWlkqquT76il46mH5FAAsKISOOe61t49oX/mA\naklZKwZChi0BZKaVpBqrRHr7UFNRlFNfr6+lQUkFN1BP0VNv0ZPnWFmXCQDIAKFjDtt7oKx9I4d1\nuH5AKwYClicAmHFpmqpSay+fqtRa8q1AJaNPQeDp3KWr1FPwVAyY0wCAhY7QMUcdGq1qz4Ejents\nn5Yu8WSZRtYlAVhA6o2WRsabGqtEsnKuutxeDXQX1RV6CiqRip6llf1dWZcJAJglCB1zUKXW1BvD\nR7SnvEeLe2z5LqcRQOfFcaKR8abK45GSJK8up6QVxVJ7TmNi+ZRl5jU6xHbdAIBj8Wp1jonilv7f\nviPaM7pXQSCuxQGgo5IkVbkSqVxpqtGQCnZBA0G/im6o7kJ79ynfZU4DAHByhI455o2hEb1dHlZi\n1LWkh52qAHTGeDXS6Hik8VqswAzU7farGBbUXfCm5jTYuAIAcLoIHXPI8OFxDY2OaKR5WCsHA37h\nA5hW9UZLo+NNlSuRrJyjktujJd1FdQft5VPdoat8nvkxAMD7R+iYI6r1SG/uH9G+sX3qX+TK5Bc/\ngGlQb7Y0Vok0Ot5ULrVUdApaUexS0fMm5jR82RbX0wAAnBlCxxyQJKlef/uI3h4fUhjkFPqsnwbw\nwTWarYk5jUhpklfRLmpZWFTB9dVdcNVT8BR4zIsBAKYPoWMO2HugrOGxw2ok41rVE2ZdDoA5qBm1\nVB5vB42kZajgFLU0KKrgBuoKXfUUPYUEDQBAhxA6ZrmxakP7Do9of2VIywd85jgAnLZm1O5ojFUi\nxXFOBbuogaCogvNO0Cj4XLgPANB5hI5ZLE1TvTk8quHxYXWXLLk266oBnFwUJ1NBI4qkgl3UEv+o\noFHwVPBt3sAAAMwoQscsNnykooPjI2qkVS0tsawKwHuLJ4JGuRKp2ZSKTkGL3T4Vu0J1ha66Q5ct\nbgEAmSJ0zFLNqKV9B8saqgxrYLHHiwUAx4hbycSuU+2gUXBCLXIXq1iaCBoFTyWCBgBgliB0zFJ7\nD5R1oHJQrpsq8DhNANpBY7waa3S8qUYzVWgXtMhZpEIxVFfoqbvgqhS4MgyCBgBgduHV7Cw0Xmtq\n/2hZR+qHtWopVx0HFrJWkmqsEqlcaareSBVYoXqcHhULBZWCdkejKyRoAABmN0LHLPT2oTEdrB5U\nd9GSaXIRQGChaSWpxquRyuORqvWWAjtUt9OjQlBQaWJGo4urgwMA5hBCxyxTrUc6PFbRWLOss5YU\nsi4HwAyJ40Rj1Uhj1Ui1eqLAClRyerSsN5zqaHQTNAAAcxShY5ZpdzkOqatgKc9yCWBeazRbGqtG\nGq/Gajal0AnVbfdqeRAes3TKJGgAAOY4QscsUmtEOjhWUbk5qtV9zHIA81G1Hmus0u5oKDVVsAvq\n8woKS75KQXvZVClw6GgAAOYVQscscmCkqiO1wyqGJu9sAvNEmqaq1NpBY7wWy8zZKthFLQsLKri+\nSoGjLq6jAQCY5wgds0SapjoyVtNofVTLB9ysywFwBiYHwceqkSq1lty8p4LTo0WlUKHbXjLVFboK\nPTvrUgEAmBGEjlmiXGmo3KjIyCdy7HzW5QB4n6I4mQoak4Pgod2lge6Cir47FTRcm//tAgAWHn77\nzRKHx2oq10dVDK2sSwFwmurNlsYn5jOiKKeCE6rHXqQwCFWcWDbVFbqyTN5IAAAsbISOWSBJUo2M\n11VujGnVYj/rcgCcxHsNgi/xCyo4gYq+wyA4AADvgdAxC1TqTVWaVVlWKouLAQKzytGD4GPVWJbB\nIDgAAO8XoWMWqNYj1eO6PIfTAcwGzailSi3WeDVWtXHUIHhXexB88orgAYPgAACcFl7lzgLVRqRa\nXBmIg6gAABNUSURBVJcfsu4byEKSpKrWY43XYlVqsdKWocAOVLJ6NegHDIIDAHCG+O05C0x2Onps\nhsiBmdKMWhqvtkPGZDcjsEtaGoQKHU/FwFHRd1TiiuAAAJwxQkfG0jRVvRmr2WrIsZ2sywHmraO7\nGePVSEryCuxAXXavlgahCt5EyAgclk0BADDNCB0ZS5JUiVLlJIZQgWnWaE7MZtQi1RqJ3Lyn0O7S\nsjCY6maUgvYQON0MAAA6h9CRsVRSkiYEDmAaTHUzqu2goSSv0A7VbfdqeRAq9NqdjKJPNwMAgJlE\n6MhYkqRSmsogcwAfSKPZmhgAj1RvpBOzGV1aXggV2K5Koaui79DNAAAgQ4SOjKVpqlRp1mUAc0aS\ntK+bUZmczZCp0ArUYy9SEART3YxS4Mp32ZwBAIDZgNCRMdvKyzIsxUmqNE1ZZgW8S5qmqjVaqtZi\nVeqx6o1EnukrdLq1vHj0bEZ72RRXAgcAYPYhdGQsl8vJtU3ZeUeNKJFrc60OLGxpmqreaKlSj1Wt\nx6o1EjmGI98K1ev4CkJfBc+ZWjZFNwMAgNmP0DELtEOHrWYUEzqwIE2FjFqsWqMly7DlW4F6LF+e\n7yt0HRV8WwXfUcGz6WYAADDHEDpmAc+x5JquqvVRFYOsqwE6r95sL5eq1tuzGVbekW/66rJ9DfqB\nAmciYEwEDQbAAQCY2wgds0BX6KpoF7W7fFD9vV7W5QDTrhknOlJuTHQzWsrnLAWWr6IVqL/HV+C0\nOxiTQcMy6fgBADCfnPLtw+eff17r1q3TsmXLZBiGNm/efMov+s9//lOf+tSn5Pu+li1bpu9973vT\nUux85buWip4nK+dqrBJlXQ5wxppRSyNjTb21v6o3hxsaPpiqXnFUMPq0uussre1bo3OXrtb5K5br\n/5w1qPNW9WlFf5d6ih6BAwCAeeiUnY5KpaLzzz9fN998s2666aZT7q5ULpd1+eWX65JLLtH27dv1\n73//W7fccouCINBtt902bYXPN4u7Au0f69Gh0SEVAgZjMbdEcaLKxHKpai2W0rx8O1BgdmnQrco1\nLZ07uHpqJsOxabICALCQnPI3/1VXXaWrrrpKkrRhw4ZTfsFf/vKXqtfr2rx5sxzH0TnnnKP//Oc/\nevDBBwkdJ7Go5KvnUEmHa4c0MtZUV4GrJWP2qjdbqjda7ZBRj5UmhnwrUGCVtKgYyLedqaVSbrUs\nx8pr1UB31mUDAICMTPvbjS+++KI+8YlPyHGcqWNXXHGF7rrrLu3evVsrVqyY7m85LxhGTh9aUlKl\nOag3D7+h0DNlmgzPInutJFWt3t5VqtZoXycjn7PkW558s6Tegi/fdo+ZyfCcd7p1uy2WSwEAsNBN\ne+gYGhrShz70oWOOLVmyZOqx9wod27dvn+4y5qz9Bys6MHpIe/e+piU983eZ1a5/78q6BJxAM0rU\niFI1monqUapWLDl5V47hyMk7cvOOHEtq2YkSu67EHlNs53VkRDpykq/Lz/nCwzlfmDjvCw/nfOFY\ns2bNB/6z0x46uKL2menv9lRtduutSl0HRhpa3DV/gweylySpGlGqevOdoJGXJTfvyck7Klq2XM+R\nY+XlO6Y8Oy/PzrOFLQAAeF+mPXT09/draGjomGPDw8NTj72XCy+8cLrLmNPOqzX16t5Dev3IbtlO\npIHFftYlTZvJDsc5a8/JuJKFqdFstZdJ1WNVGy3FsVQ0PXmWK8/y5ZmefMdW4FoKXFuhZ8tzzDN6\nM2HyHTB+zhcOzvnCxHlfeDjnC8/o6OgH/rPTHjouvvhi3XHHHWo0GlNzHVu3btXSpUuZ5zhNoWdr\nzbJeJWmi3SN7tO9AVQOLPLpIeF8mZzHqjZaqjVi1ekumYcubmMXoDjz5tivfsRR6tgKvHTbYshYA\nAEy309oy99VXX5UkJUmi3bt36+WXX1Zvb6+WL1+u73znO9q2bZv+9Kc/SZJuuOEG3XvvvdqwYYM2\nbtyoV155RQ888IDuueeejv5F5pvQs/W/li2SJL1VfluvvzWupX2+HJsXhDhe3EraMxjNlhoTO0tF\nseSarnwrVI/lyfU9+Xa7ezFdXQwAAIDTccrQsW3bNl166aWS2vMad999t+6++25t2LBBTzzxhIaG\nhvTaa69NPb9YLGrr1q36+te/rgsvvFA9PT361re+pW9+85ud+1vMUwXf0Tkr+uTuszRUPqQ33x7W\n4h6H7XQXuGbUmggXieqNdshIEkOO6cg1ffl5Rz2BO9XFCLzJoEEXAwAAZOOUoeOSSy5RkiQnfHzT\npk3HHTvvvPP03HPPnVllkCR5jqW1KxYr3G/LP+xr38hbGhkbV1+PK9/lAmvzWZKkajRbakTtcDHZ\nxcgbllzTlZt31G25cjxHruXIs035riXPseQ7Fl0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efPBBbN68GS6XC48//ji++c1v4oEHHsC99947fr9s9u2pxaNHj17C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HMTB0EM1zp/oT+PkLh7B9/xkY5vSrUK1qr8ad13Rg/bJ6LgdKZUHXDSSyoyMa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4rR6EvX6EfNzscjYxdBAtUgVNx6v7T+OZN47h4MmRGds2VQVw+9VLsWVtC7ys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"text": [ - "" + "" ] } ], - "prompt_number": 55 + "prompt_number": 12 }, { "cell_type": "markdown", @@ -795,6 +809,34 @@ "Of course that is a rather large covariance ellipse for an aircraft - it spans miles. I exaggerated the size to illustrate the difficulties of highly nonlinear systems. In real radar tracking problems the nonlinearity is usually not that bad, but the errors can still accumulate. And other systems you may be working with do have this amount of nonlinearity - this was not an exaggeration to make a point. You will always be battling divergence when working with nonlinear systems." ] }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "The Algorithms" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You may be impatient to solve a specific problem, and wondering which filter to use. So let me quickly run through the options. The subsequent chapters are somewhat independent of each other, and you can fruitfully skip around, though I recommend reading linearly if you truly want to master all of the material. \n", + "\n", + "The workhorses of nonlinear filters are the *linearized Kalman filter* and *extended Kalman filter*. These two techniques were invented shortly after Kalman published his paper and they have been the main technique used since then. The flight software in airplanes, the GPS in your car or phone almost certainly use one of these techniques. \n", + "\n", + "However, these techniques are extremely demanding. The EKF linearizes the differential equations at one point, which requires you to find a solution to a matrix of partial derivatives (a Jacobian). This can be difficult or impossible to do analytically. If impossible, you have to use numerical techniques to find the Jacobian, but this is expensive computationally and introduces error into the system. Finally, if the problem is quite nonlinear the linearization leads to a lot of error being introduced in each step, and the filters frequently diverge. You can not throw some equations into some arbitrary solver and expect to to get good results. It's a difficult field for professionals. I note that most Kalman filtering textbooks merely gloss over the extended Kalman filter (EKF) despite it being the most frequently used technique in real world applications. \n", + "\n", + "Recently the field has been changing in exciting ways. First, computing power has grown to the point that we can use techniques that were once beyond the ability of a supercomputer. These use *monte carlo* techniques - the computer generates thousands to tens of thousands of random points and tests all of them against the measurements. It then probabistically kills or duplicates points based on how well they match the measurements. A point far away from the measurement is unlikely to be retained, whereas a point very close is quite likely to be retained. After a few iterations ther is a clump of particles closely tracking your object, and a sparse clould of points where there is no object.\n", + "\n", + "This has two benefits. First, there is no process model. You do not need to predict your system state in the next time step. This is of huge value if you do not have a good model for the behavior of the system. For example, it is hard to predict the behavior of a person in a crowd for very long. You don't know where they are going, and they are endlessly being diverted and jostled by the crowd. Second, the algorithm can track arbitrarily many objects at once - some particles will match the behavior on one object, and other particles will match other objects. So this technique is often used to track automobile traffic, people in crowds, and so on. \n", + "\n", + "The costs should be clear. It is computationally expensive to test tens of thousands of points for every step in the filter. But modern CPUs are very fast, and this is a perfect problem for GPUs because the algorithm is highly parallizable. If we do have the ability to use a process model that is important information that is just being ignored by the filter - you rarely get better results by ignoring information. Of course, there are hybrid filters that do use a process model. Then, the answer is not mathematical. With a Kalman filter my covariance matrix gives me important information about the amount of error in the estimate. The particle filter does not give me a rigorous way to compute this. Finally, the output of the filter is a cloud of points; I then have to figure out how to interpret it. Usually you will be doing something like taking the mean of the points, but this is a difficult problem. There are still many points that do not 'belong' to a tracked object, so you first have to run some sort of clustering algorithm to first find the points that seem to be tracking an object, and then you need another algorithm to produce an state estimate from those points. None of this is intractable, but it is all quite computationally expensive. \n", + "\n", + "\n", + "Finally, we have a new algorithm called the *unscented Kalman filter* (UKF) that does not require you to find analytic solutions to nonlinear equations, and yet almost always performs better than the EKF. It does especially well with highly nonlinear problems - problems where the EKF has significant difficulties. Designing the filter is extremely easy. Some will say the jury is still out, but to my mind the UKF is superior in almost every way to the EKF, and should be the starting point for any implementation, especially if you are not a Kalman filter professional with a graduate degree in the relevant mathematical techniques. The main downside is that the UKF can be a few times slower than the EKF, but this really depends on whether the EKF solves the Jacobian analytically or numerically. If numerically the UKF is almost certainly faster. Finally, it has not been proven (and probably it cannot be proven) that the UKF always yields more accurate results than the EKF. In practice it almost always does, often significantly so. It is very easy to understand and implement, and I strongly suggest this technique as your starting point. " + ] + }, { "cell_type": "heading", "level": 2, diff --git a/10_Unscented_Kalman_Filter.ipynb b/10_Unscented_Kalman_Filter.ipynb index 92b2b0b..406ff75 100644 --- a/10_Unscented_Kalman_Filter.ipynb +++ b/10_Unscented_Kalman_Filter.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:07d552b7c574d0e22b2d46189f6004982b2ea187162610c14413b153f2941e87" + "signature": "sha256:0c11a3f653ab708c71e39819bb537fb47bbf046e6ebfe25b6e0a58dd7400264e" }, "nbformat": 3, "nbformat_minor": 0, @@ -259,7 +259,7 @@ "output_type": "pyout", "prompt_number": 1, "text": [ - "" + "" ] } ], @@ -269,59 +269,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In the previous chapter we developed the Extended Kalman Filter (EKF) to allow us to use the Kalman filter with nonlinear problems. It is by far the most commonly used Kalman filter. However, it comes with a lot of difficulties and limitations. For example, it requires that you be able to analytically derive the Jacobian. However, for many problems this is either very difficult or impossible. Furthermore, being an approximation, the EKF can diverge. In this chapter we will use the unscented Kalman filter (UKF) to tackle these problems.\n", + "In the last chapter we discussed the difficulties that nonlinear systems pose. This nonlinearity can appear in two places. It can be in our measurements, such as a radar that is measuring the slant range to an object. Slant range requires you to take a square root to compute the x,y coordinates:\n", "\n", - "I particularly like the following way of looking at the problem, which I am borrowing from Dan Simon's *Optimal State Estimation* [1]. Consider a tracking problem where we get the range and bearing to a target, and we want to track its position. Suppose the distance is 50km, and the reported angle is 90$^\\circ$. Now, given that sensors are imperfect, assume that the errors in both range and angle are distributed in a Gaussian manner. That is, each time we take a reading the range will be $50\\pm\\sigma^2_{range}$ and the angle will be $90\\pm\\sigma^2_{angle}$. Given an infinite number of measurements what is the expected value of the position?\n", + "$$x=\\sqrt{slant^2 - altitude^2}$$\n", "\n", - "I have been recommending using intuition to solve problems in this book, so let's see how it fares for this problem (hint: nonlinear problems are *not* intuitive). We might reason that since the mean of the range will be 50km, and the mean of the angle will be 90$^\\circ$, that clearly the answer will be x=0 km, y=90 km.\n", + "The nonlinearity can also occur in the process model - we may be tracking a ball travelling through the air, where the effects of gravity and air drag lead to highly nonlinear behavior. The standard Kalman filter performs poorly or not at all with these sorts of problems.\n", "\n", - "Well, let's plot that and find out. Here are 300 points plotted with a normal distribution of the distance of 0.4 km, and the angle having a normal distribution of 0.35 radians. We compute the average of the all of the positions, and display it as a star. Our intutition is displayed with a triangle." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy.random import randn\n", - "import matplotlib.pyplot as plt\n", - "import math\n", - "\n", - "xs, ys = [], []\n", - "N = 300\n", - "for i in range (N):\n", - " a = math.pi / 2. + (randn() * 0.35)\n", - " r = 50.0 + (randn() * 0.4)\n", - " xs.append(r*math.cos(a))\n", - " ys.append(r*math.sin(a))\n", - "\n", - "plt.scatter(xs, ys, label='measurements')\n", - "plt.scatter(sum(xs)/N, sum(ys)/N, c='r', marker='*', s=200, label='mean')\n", - "plt.scatter(0, 50, c='k', marker='v', s=200, label='intuition')\n", - "plt.axis('equal')\n", - "plt.legend(scatterpoints=1)\n", - "plt.show()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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U20ejW7duOHXqlMO03377DUFBQQCAZs2awcfHB3v37lXmGwwGHD58GA899NBtFY6IiIiI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\nJCkUCkkul0uWLl1aHHPgwIGkoqIiefDBB7urTFLwzjvvJJ/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- "text": [ - "" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can see that out intuition failed us because the nonlinearity of the problem forced all of the errors to be biased in one direction. This bias, over many iterations, can cause the Kalman filter to diverge.\n", - "\n", - "For all these reasons there is a need for a different way to approximate the Gaussian being passed through a nonlinear transfer function. In the last chapter I showed you this plot:" + "In the last chapter I showed you a plot like this. I have altered the equation somewhat to emphasize the effects of nonlinearity." ] }, { @@ -335,9 +289,9 @@ "data = normal(loc=0.0, scale=1, size=500000)\n", "\n", "def g(x):\n", - " return (np.cos(4*(x/2+0.7)))*np.sin(0.3*x)-1.6*x\n", + " return (np.cos(4*(x/2+0.7)))-1.3*x\n", "\n", - "plot_transfer_func (data, g, lims=(-4,4), num_bins=300)" + "plot_transfer_func (data, g, lims=(-3.5,3.5), num_bins=300)" ], "language": "python", "metadata": {}, @@ -345,23 +299,23 @@ { "metadata": {}, "output_type": "display_data", - "png": 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UQUFBTftwyHA01/q37733nt4eBUT3a9OmTeKwYcNEW1tb0dzcXOzevbv41ltvicXFxXrH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\nql+vQTpbdlLn3ef0w7F/p1BnmOlUv8GAAQCAH2v0NqrcXaKQEIdC7A6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4D6agNfI31s8Y/AzFvHnz8MMPP2Dfvn0ICQlpfIEGVNdUSV7fKsho0fqIiMj8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\nvZMf0zU5tzvV5q+apfmrZ2lzwZpzPAvejoYCAAAAHpEU21E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"text": [ - "" + "" ] } ], - "prompt_number": 3 + "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "I generated this by taking 500,000 samples from the input, passing it through the nonlinear transform, and building a histogram of the result. From that histogram we can then compute a mean and a variance that we compared to the output of the EKF.\n", + "I generated this by taking 500,000 samples from the input, passing it through the nonlinear transform, and building a histogram of the result. From the output histogram we can compute a mean and standard deviation which would give us an updated, albeit approximated Gaussian.\n", "\n", "It has perhaps occurred to you that this sampling process constitutes a solution to our problem. Suppose for every update we generated 500,000 points, passed them through the function, and then computed the mean and variance of the result. This is called a 'monte carlo' approach, and it used by some Kalman filter designs, such as the *Ensemble filter*. Sampling requires no specialized knowledge, and does not require a closed form solution. No matter how nonlinear or poorly behaved the transfer function is, as long as we sample with enough points we will build an accurate output distribution.\n", "\n", - "\"Enough points\" is the rub. The graph above was created with 500,000 points, and the output is still not smooth. You wouldn't need to use that many points to get a reasonable estimate of the mean and variance, but it will require many points. What's worse, this is only for 1 dimension. In general, the number of points required increases by the power of the number of dimensions. If you only needed $50$ points for 1 dimension, you'd need $50^2=2,500$ for two dimensions, $50^3=125,000$ for three dimensions, and so on. So while this approach does work, it is very computationally expensive. The Unscented Kalman filter uses a somewhat similar technique but reduces the amount of computation needed by a drastic amount by using a deterministic method of choosing the points." + "\"Enough points\" is the rub. The graph above was created with 500,000 points, and the output is still not smooth. You wouldn't need to use that many points to get a reasonable estimate of the mean and variance, but it will require many points. What's worse, this is only for 1 dimension. In general, the number of points required increases by the power of the number of dimensions. If you only needed $50$ points for 1 dimension, you'd need $50^2=2,500$ for two dimensions, $50^3=125,000$ for three dimensions, and so on. So while this approach does work, it is very computationally expensive. The Unscented Kalman filter uses a similar technique but reduces the amount of computation needed by a drastic amount by using a deterministic method of choosing the points." ] }, { @@ -376,7 +330,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Let's look at the problem in terms of a 2D covariance ellipse (2D only because it is easy to plot, this extends on any number of dimensions)." + "Let's look at the problem in terms of a 2D covariance ellipse. I choose 2D merely because it is easy to plot. Naturally this will extend to any number of dimensions. Assuming some arbitrary nonlinear function, we will take random points from the first covariance ellipse, pass them through the nonlinear function, and plot their new position." ] }, { @@ -404,57 +358,20 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Here on the left we show an ellipse depicting the $1\\sigma$ distribution of two state variables. The arrows show how three randomly sampled points might be transformed by some arbitrary nonlinear function to a new distribution. The ellipse on the right is drawn semi-transparently to indicate that it is an *estimate* of the mean and variance of this collection of points - if we were to sample, say, a million points the shape of the points might be very far from an ellipse. \n", - "\n", - "Let's look at that by running a bunch of points through a nonlinear function." - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Exercise: Plot 2D points" + "Here on the left we show an ellipse depicting the $1\\sigma$ distribution of two state variables. The arrows show how three randomly sampled points might be transformed by some arbitrary nonlinear function to a new distribution. The ellipse on the right is drawn semi-transparently to indicate that it is an *estimate* of the mean and variance of this collection of points - if we were to sample, say, a million points the shape of the points might be very far from an ellipse. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Write a function to pass randomly generated points with a Gaussian distribution through the state transition function:\n", + "Let's look at that by running a bunch of points through a nonlinear function. We will write a function to pass randomly generated points with a Gaussian distribution through the system\n", "\n", - "$$\\mathbf{Fx} = \\begin{bmatrix}1 & 1 \\\\ .1x &y\\end{bmatrix}\\begin{bmatrix}x\\\\y\\end{bmatrix}$$ \n", + "$$\\begin{aligned}x&=x+y\\\\\n", + "y &= 0.1x^2 + y^2\\end{aligned}$$ \n", "\n", - "for the mean $$\\mu = \\begin{bmatrix}0\\\\0\\end{bmatrix}$$ and the covariance\n", - "$$\\Sigma=\\begin{bmatrix}32&15\\\\15&40\\end{bmatrix}$$\n", - "\n", - "Plot both the original points and the converted points. Plot the mean passed through the function vs the calculated value, and print the difference between the two." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# your answer here" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Solution" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here is my answer." + "for the mean and covariance $$\\mu = \\begin{bmatrix}0\\\\0\\end{bmatrix}, \n", + "\\Sigma=\\begin{bmatrix}32&15\\\\15&40\\end{bmatrix}$$" ] }, { @@ -496,9 +413,9 @@ "plt.subplot(122)\n", "plt.scatter(fxs, fys, marker='.', alpha=0.1)\n", "plt.scatter(mean_fx[0], mean_fx[1], \n", - " marker='v', s=300,c='k', label='mean')\n", + " marker='v', s=300,c='k', label='Linearized Mean')\n", "plt.scatter(computed_mean_x, computed_mean_y, \n", - " marker='*',s=120,c='r', label='computed')\n", + " marker='*',s=120,c='r', label='Computed Mean')\n", "plt.ylim([-10,290])\n", "plt.xlim([-150,150])\n", "plt.legend(loc='best', scatterpoints=1)\n", @@ -512,41 +429,33 @@ { "metadata": {}, "output_type": "display_data", - "png": 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beEVYFqqeeAL81VcxsX07mGkCAGR1NTwbN8Jwlf+x86abbsLg4CB27dqFs846\ny96uyl9cf/31GBwcxHPPPWePCVdddRW2bt2K66+/Hh/+8IdtIwQAMpkM/vSnP9nbRkZG8PDDD+Pi\niy+28+iuueYadHd347777ptmpOzevRu7du3C29/+dgCkUNjR0YGbbroJv/3tb+395DySIy+77DLc\ncsstiEQi0wqhP/zww3jqqafw3HPP4Z3vfKe9fdu2bbjyyivx9NNP46KLLsKrr76Khx56CJ/97Gdx\nzz33AAD+8R//EZ/4xCfwl7/8Zdbz19XVzfo7TKVSc17DQtA5KZpVx3xzIJQ3YzH5Ls74XlpByw/r\nCgbJy0L75PJNhoZyExdVKM6PT1aGBhUGkwAkursZhoZIXrhYf51KYUoJy9mOMlCGh6UtRazuEYVr\n5ee3qM9z95JCGRKJ/PMqtbK57pO6J+Vipee8aBbGddddh5/85Cd45plnsHHjxjn3HxkZweHDh9HU\n1AQA2Lp1K9xuN371q1/Z+xw6dAh79+6dJlWs0SwUNU43NnJEIgYCASURD3t8L5ajqCTolwJnziAp\nO06f4+bzQDwfjKoqsIoK8O9/H5VnnYXqc84BO34cxp49qDrzTFS8/e1gTz8No64O3Ch/cUshBH76\n05/ir/7qr/IMFCdPPvkktm7dmrdoUVlZic9+9rMYHBzEK6+8krf/3/3d3+UZLWeffTYA4FOf+lTe\nfmeffTaOHDmCTEGlzG3bttkGCgAEAgF8/OMfx4svvljSh/pHHnkEGzduxOmnn45oNGr/bd++HYwx\nPPfccwBgqyF+7nOfyzv+C1/4Qsn6Uiq0J0WzqpjPKjdNGMLO4zgRGMtVjFdtq39Vsjl5EsgbEY/n\nthWGQeXnkFDfyYAQSKUYOJcIBoWdi1JoqACAaUrbUClsOxqViMUkMhkBj4fCFFROCZAzSoaHpe0V\nisUYUimSIA6FKFelMIm+sA+5GjCUYxOLsbJ5HPK/7+nfQzkoVwiiBrj22mvx4IMP4oknnoDX68Xg\n4CAAWr2rqanB+Pg4vva1r+HDH/4wGhsbceDAAXz5y19GQ0ODHerl9Xrx6U9/GjfccAMikQgCgQCu\nv/56vPWtb8WFF164nJenOckpHOMCAQtHjgik07SolEjQmE3jdG6BaGTEuShVXg9svgeHBE1Un9Xn\nQkhkMiiJwhdjDJWbNiHzzW9i4oILUPHJT+a8KqEQJh96CJ7t22GUIf+lGCMjIxgdHcWb3vSmGffp\n7+/Hhz/xUpDNAAAgAElEQVT84WnbN23aBAA4cOBAnoGzfv36vP28Xi8AoLm5edp2KSWSySTCDpWc\nYnkaalt/fz/e8pa3zHVZ86Krqwv79u3LO7eCMYbh4WH7nIwxtLe3F+3TSkIbKZpTjpwxMHMoUmGO\niXrt/CwczsUXF1fzUsflnurVSpoyQIr1jaA+RSJAIMAQjUrE49zRBstOfBKBAOWiWJbAvn1keGza\nlF+VnnMGr1cgFgNSKbpuw+C2AcU5RzhM4WldXQAgQZEy1EmfL4NQiN4r71AgkD8RK9nihobcJD5T\nGFXhqt5sggMLYSXIVGsWz7333gvGmC0drLj11lvx1a9+FYZh4PXXX8cDDzyAZDKJpqYm7NixA489\n9hhqamrs/e+++264XC5cccUVOH78OC688EI8+OCDWhJVMyczjUFCSBw9SvG2TU00tkajEq+9xlFf\nL9HeTtK+akGIMYGGBtpPSpn1XCzt70/J0Ds948pgKrUEsTsQgPW2twEVFUDWSJEtLTC2bVsyA2W+\nLHQcMGbwAM20fTFeqpn6ZFlW0e3FEEJgy5Yt+M53vlP08zVr1iy4X8uNNlI0q4qZVrlnmnhmMlCc\nOStO7waAaepcM7Vf7FxKtSsXbpW/T+E4xTmDx2MgEhG2MaRsHlWbxLKkfVw8ngvfKiQcBgyDDBJK\njM83oNS9kFJVSua2IQaQR8SyRNazwyFlTtFLCGl7idQq4UzfhSoS6fTkFN7b+a40aq/G6mKuYouV\nlZXTaqkUw+Px4Lvf/S6++93vlqprmlOAmTzxQkhMTJjo6WHZ8UpklQ8ZvF4Jv5/B5SJP89SUhZde\nogUav59qWdEzq5KBn9/ctFgKx0Snh14tcDHG4HaX5HT5dHcDmQwm7r0X7PBheG6/HZnubsAR6lRu\nwuEw6uvrZ82taGlpwd69e6dtV9vmyoNbKN3d3dO2ddFqIFpaWgDAlllPp9Oor6+39+vv75927EwG\nTXt7O15++WXs2LFj1v60tLRASonu7m5s3rx5Wp9WEjonRbPqKKZKNTREq2CmKabFCs+FWgVz5j6o\nfBaqrUHV1oeH8z935nY4+wZQ7HI0SjknTkida7qRofJMnPr2Pp9Afb2FeJyOIb1+hra2fA+Quv7e\nXg6A2cpdheSrceXC1tR4aJrkieEc8PnyjQgK74Kd+O/cXkySmAo/liYmeqnrDWg0mlMH5UEhXQYL\ndXWWPeY0NHCcdZZEezsZAnv3CnR3CyQSAqZp2ZXoAdhzSLHxsNR1wGYaE525MaV2KlqmCfT2YuL/\n/g+ef/gHGDfdhImf/xzy4MGSjfXzgXOOyy+/HP/7v/+LP/7xj0X3ueSSS/DnP/8ZL7zwgr1tYmIC\n9957L5qamrB169aS9umll17C73//e/t9LBbDj3/8Y5x//vl26JgKvXr++eft/cbHx3H//fdPM0pq\namoQV6uCDq644goMDQ3h3nvvnfbZ5OQkxsbGAADvf//7AcBOmld873vfW8zllRXtSdGsepT7PZEA\nOJdzVkR3rkQBzJ5chobI86G8IWp1Sgh66AZyqlfDw+TlCASkHf7k7E8iASSTLBtClZuggkGZl8fh\nRJ3P77cwMqImPwnOSWGGc9ieDVoNlAiHlXFF16L6UbhamAsDmDkEjnPl+eCIRPJXBDlnCIUkRkbY\ntL4XXjvJeJJRVahS5jyucEJ3oiWANRpNqSnmmVVe4mSSxvrC8ay3l0NKibo6E3195KXw+SS83lzF\nda/XQm8vQzzOpoXiLsU1BYPKQ5kTO3Es1pcEMx4HLr0UlaedBsYYeE0NjPe/H8e7umBOTcFdUVHa\nE87CHXfcgaeffhoXXHABrr76amzevBlDQ0P46U9/iieeeAI33ngjHn74YXzgAx/AF77wBYRCITz4\n4IPYu3cvHnroobwIg1KwZcsWXHLJJfj85z9vSxCPj4/jjjvusPe5+OKLsX79enz605/GP/3TP4Fz\njv/8z/9EJBLBwMBAXntnnXUWdu7cia9//evo6OhAbW0tLr30Ulx55ZV47LHHcO211+L555/H+eef\nDykl9u3bh0cffRSPPfYYtm/fjre+9a342Mc+hnvvvRepVMqWIC7m8VlutJGiWfVQgiMN0ozNb/Ap\nlOQ1TYFsrSSEQlSrJBgUkBIYHXWjuXlhMruqWGIkQv3Jzy+hbVNT5CVRuSPKYIpGgXhcIh6nvJL2\ndiVxScf5/SLrXZGwLIlUiqSN29pyk2OxFT0Kv2JZA4TZxktO9pgjFKIaKsUmWWcomgoxIGlkaUty\nqpAxUh6bHs/rNJiA4mFf6nNn2xqNRlMKiucXAn4/EIsZeeONWnACgNZWiQ0bOEyTIRhkqKhwIRCg\nxapkkhUNxV2KcNXCcC81npfauVERieRXIQbNJ9WdnaU90TxobGzEH/7wB3zlK1/Bww8/jGQyibVr\n1+Liiy9GMBhETU0NXnzxRdx4443YuXMnjh07hje/+c347//+77xijuoailFsO2Os6PZ3vOMduOCC\nC3Drrbdi//792LRpE5544gm84x3vsPdxuVz46U9/is9+9rP4yle+gqamJnzxi1+Ez+ebpiL21a9+\nFQMDA7jrrruQTqfR2tqKSy+9FIwxPP7447j77rtx//3342c/+xmqqqrQ1taGa6+9Fm9+85vtNu67\n7z6Ew2E89NBD+NnPfob3vOc9ePLJJ6eJASw3TC6lH26eOCXZlCtstXEq69eXYhV8PjU/nNuHhsij\n0NAwXfmq8HiF01AxTQEVrrlpE7Mfuv/v/14DALzrXW+CU1VLhU45H/YVJFMpEAzCTqwk74nyMNDx\nXV2UY9LeTnKXql16+KfQNTIq6BzKKAgGpW2kCAEkErCNH+oTDabK2HDq/odCyCsWOTgo8OKL++D1\nZrBjx5tnzbkpvIcqpI28SZRgPzREq5LB4HTdfmcbTsWumb7PeBzw+yUikZm/0/lyKvx/PBXG1YVw\nKtyPU+F3vRTX6AydBZA3zg8OWojFgFCIw+u1kEzSeBUI0FiqFqAyGQo1bmriC577TuQac15yacsl\nW5ZAZWUGwWCJs+c10+Cc45prrsHOnTuXuyslYWJiApWzCCGUelzVnhTNkjIfieDFtDFXu7MpTTnb\npPyT3AqXMjI8HgObNok8DwTnVKmcwr3yE8WB/IlM9c3vFzBNiWSSgTHKSXG5OHw+C6pgo7O/gYC0\nQ8JUmySfDMTjhu1Z4Zyq1MdiQDyu8k54NrxKQkoybGIxwDCm56VYlkBvL3loQiGRvTbaf3DQAykp\nJ0VNuoX3uZiBSGFpEr29lIy/Zo2BcBh2AcyZwrnmWl1Un0tJkp+cA5GILqqo0WjKg5pjnN5yNeZF\nItwhXMIQj9O4FAgwbN4sEQ5Tjp8QPK8t9Xop+h4MCgwNiWzR4eKr/RrNSkTHSWhOCk6kYJ9KFlTF\nFQvri8y3Xc4ZEgluhxqpEKl02o14nB70TVPMmAhJsc2kArNhg0AgkJuwkkn6r2hZ0jZ4OjvJa6M8\nEENDpByjiiiqhP5YDBgZIW9PPM7yCndxTuFiKhTLMChemuqd5AwilfCeSOSMmZERMpKamqYwOmqg\np4fC3gpRRtjwsLQ/d9agUe0JQQZZKESGivouin0Hc4XOuVwckQgl6+sJV6PRlJPCBHfne0qgZ/D7\nBRIJEjGpr88fX4Fc8dvZ5ohy9r+3l6Gnh/rZ2MhRXb0kp9ZoTgjtSdEsKYuJwS3mJSmWYD3X6nth\nLly+1DDVBcmtcknbE1GsTRV2lUy6bY+HSqAXQmTbyT1sUwJ7LvmdEt2ZLWNMD/TTJY0BZKvMkwSx\naVLfDINeu1wc9fUC6TRDIsFQXy/AORCNMgACoRAQDnMIAYyMcPj9Aip5UsloqvvX1iazCfAMmYyJ\nwUEK01q79hiAajuGuVjBRGUsSQk0NOTuWSAAWBYZR87vQtkVznjphXrWyFDRCfQajWbpcNayUu9p\nUYZli+DmJN4B2As3avzMKSguHZwz+P3Ta39pNCsdbaRolpxSPFDOJ8SrcP+ZjBgppb0iRgnoKslQ\nTHuAVioplKdCSlVebwbhMLPzSnw+SqgfGSFDQJ2PZIRl1mBgtmfFsiT8fhPJJM9q6wtEoyzbFhkl\nNBEK7N9PRRmFYBgbM9DaKmAYOS9NMAhkMhKJhEQqRcbK6aereOqcF0QlcYZCws7vCIUYwmHq18GD\nEvv2AR0dEtXVQHPzMYRCZEwpI8XpBQkESBnMuXpIIQYcbjdsA7DwuzjRyXqu39J8wypWXmaeRqNZ\nKagxyzQFjh7NXxQbHiZPtmHQ+KtUC02TiutKKREKMbsuVCLBZ1RQPFFmGu9cLo7Nm4W9KBSPA+vW\nlb6go2Y6c9V+0syONlI0K55CA2Ohq0AzDdzFPByFxynFK/U+GqUEc8opYaivz4BzZMOYRHZ/Dssi\n1Rcpc4nqTu8PFWYEJiZM9Pcz+P2AEBYMgyMUomu0LOobY2QMWRaQSlFbNTWA1yuyHgwO07RgGAxS\nUkw0DYwcySTP1jdh6OmhRPPTTiNvipTcTqxPJHKGhGkKSEnn8PmoeDD1l6Q2TTOXfDkyQsZQezut\nILpc+YaKy5XT5Z/p+1CGXzHZxxOJ3Z6vEUvhdm77tfbKaDSaYoyMSLzyCuyFIs5pWzrN0NoqEA4b\n4JxhZIRCd+NxmgN8Pgm327A9yOUyUGYb75TXvLA2l0azktFGiuakwJms6FR+Kgw9KnyonWngdu6X\nbwQpb4dENErGAkny8myldOV1kQgGc3VSVL6FCnUSgqq7S5mvPubMwwDI6EgmJWpqLKTTDIbBsoYJ\nJZtLKZFMusC5RCTCYRgCfr9ERYXLzvsQwkK2RhNqay0MDBiorwdaWwU8Hu64XoFYzMLUFMPoqIFA\ngK5BFWEMhchASSY5Nm4E3vY2C5WVLrxGAmYIBiUGB8nzkkpxmKZEIiFw5Ii6Rmlfv7q3Ts+Rqtvi\n9E4ppS6K6y5e6Kzwu9NoNJpyMtPiiKqB4vOR8RGPk6FSVyfAWL5qF+ccp51GC1put6o2z4q2u1TQ\nOEvj6dTUsnRBo1kQ2kjRnBSouN5i3hDFbA+1qt7HTGFihdK6tA9NVKrGCucUajU1RUnvjY0Mv/2t\nG6kU1UlRhRTVvqFQ4YO1qnMi7TY456ivNyGlQCrlhs+Xkzzu7wdiMYm2NhMVFW7U1lKxsHSajAjy\nbOTinRkDDIOjro6MiERCwOez0Nvrhs9noarKQlcXQ329RG2tAOcu+75IiawBJrNhYAzj424cP54L\nUxBCYv9+up6WFpENX0M21pllY7JVPk+u3gqFotEdUPVeVLhcNAr09pKRpCbxxcZLFz5YzDf/Sam0\nzbWfRqNZ/cw0j3DO0NhIHnOAvCUUnkuLRckkEA7Two5anBGCw+0mr7uz+G05mCnioNicKYREOi1R\nVSW18Ihm3ixHxRJtpGiWlMWE76jYXgDo7FSSjvPPR5itivtsfaNEdYHubnr4bm8XEEKgv18ilWJ2\n0rbzeOUpocrs+atnABk8Q0MShw9TrkZrq4VolOPIEY516yyEQhzJpIFYTMA0LRw+bMDrBTZvtpBM\ncqRSEl4vUF9PxsnICE2AdXXkzl+7liEcttDTI9HfbyCZlAgGqZ4KJdlL1NUxtLQAa9bQSmBPj0B1\ntQXOJQ4eZPB6GXw+8uoUGm9+P3l3wmHA42Hg3IWGBqUsRvcsGgUAUhDzeIw8gQCXi2dzbmDXcgkE\nkCdaMJunbLbvbqYHi/lQrnl6KaVGNRpNeeGc5OjJc64EVzg4l+julnjjDWDzZhMuF896jNVi1dLJ\nDQPz80JHowYM4zj8fg9cLv0oqJkdKSUmJiZQUVGxpOfVv0zNklGq8J1iSltquzJChJAYHlZqVfl5\nJc6HZqXgpQwMSnKUULK8pkkhWfE4SezGYhIjIwzj41TosK4uA683g4aGfK+NykMphBSpcuFiHo+B\n+noBxiTcbo5YTMIwTKRSHPX1lISfThsYHpaoqODYsEGivt5CT4+BRIJyT0Ihbhc05BwYH3fD789A\nCAG320BHB92beNyF5mYTUjIcP04hZJYlEI9biMVIPWxsjPJQkkmqx+L3AwMDuf7X1gokEhK9vQZC\nIdjeo0Qil/RP94yEBCIRkc3XyVcro+JnQEMDy/NAzfVdn0zocDWN5uRjJg9soTefiu7SHOLzmRBC\nYmCAwTBkNjE+Jw6yEv7vTw+F5ti9W2LDhilUVU2hokLlHzIom8XjoW1AzlvvdufaLKUXZnR0FABQ\nV1dXsjZXGif7NVZUVBTNHS0n2kjRrHhcLo7OTlVIMf8/yEyFHYeHRTZRXKlWIZtTQrkRqmCjUvAi\naV+qM2Ka0q6G7nZztLWJbNFAAw0NDGedZUJKiYMHXYhGq9HcfCwvCTwapRApkvvN768KGaupEais\ndCEW43C5KLFSCIG9exlqaiSamy2Mj7uwfr2J/n6grw8444xJeL0GEgmOeFwgmSSvSiCAvCrGpimQ\nTlO7fn+ugnwwKCGEK2tAOQuUAQDLGkUc69cLjI2RIaIKLwJklB04ILNhZHRvTZNlJZLJI5JMchiG\ntEMgqMikhXic+ubzWVmDhiZyl8uY5j1xGpDqO1b3zvm9O7fNN7RLo9Fo5qJwDHEqdfl8JHASDufq\nVVkWRyAgsvWnaLxViosAbJXHpRqbioV+OedJ8vYzMGYgGmUIhTh8Po7RUZqHUinygHd2AhUV+SG4\napEpEKBFplJd0+uvvw4A2LZtW0naW4mcCtdYarSRolkyTuRBknM273oaanKQkh6W1cOukl6kwoW5\nBHZSq6LYYiEEentJFtjj4dlJxkBDgxrsORhzY2rKRDotcPSoB7W1GUxNWXZoEy0uyWzYk7C9HACp\neT31lMT4OMO73mUCMGAYHJZFUoVKHSwcpn1SKRfq6wX27AEGBiTq6ibh87lQX89hGADA7RokuQKT\n9McYFXLM1ZFRK385YyaRoMJjXi9DIEBtJpNumKaA1yvAuQEpyVBJJIB0WmJ8nKSRGaNrHB4mha9A\nQEJKDsOgkC7qHxUtSyToe7cs8lDRal1xRTXn96yOd37vs4V2qXuwEgwVbThpNKsLIWjxi3O1CEWD\nHOXgGba0MEDy75wrVUhVQ2XpxqbCRR3TVOMneb4DAQu1tQIHDxqoqGAIBq1svS4On09k5yxqQ43J\nFO4Le7tGU260kaJZUmYL1SqmzFXsmML2iiULBoMMXm/OI2KaIlt0EXZOi8qLAERWTQtZNS2GVIph\n48acBLFzFUxKidFRA/X1FsLhKRw9WomuLmDTJvL2eL00GezbBzskq7ExJ+87Pg6Mj1sYHJRoauJo\nbSVPTTLpxpYtpN4VDHJb5njDBoFUSuDVVwW6uzk6Oiycey4lvquQguFhiaEhChtTE1EwqPJxGEzT\nghCUUB8MUvJ/LCYxMECGi8/HshKZ1B5jsCvT/+Uv5N9ftw6wLI5kUsLno77F41ShnjGGVMrAxo05\nz0yuij2tMiqPjN9PBmAxL0jh5OcUPJiLlRhetRL6oNFo5sdM85Hy5psmQ3c3/Z9WwiFqwYu2GXZb\nkYjMhrnmPC7zHctKiRoXSWae+kPS+DTmBwJkfPT2qrFdQkqaQ2IxlneMMlY6OmQ2vFiPb5ryoo0U\nzbKRX/FdzLmC7qynUSghnN8eg99vIZFg2cJZwp4kwuGcXjyFMpGnJRiUsCwK6WpuFggGaWJS4U7q\nfMpTYVkShsERCGSQTlM7x46ZeOUVenjftk3C72eIRgW6u8lQ4dwA5wa2b8+gq0vg0CEDY2OUm8IY\n1Urx+YD9+w2MjgI1NSZGRw2Mj7vR0pJBMingdlOezCuvMLhcAoGAgWBQwLKAgwcBwMSaNYDH44Fh\nsGzxMZI5BgSEsHD8uMThw4BhSFRWAseP08Tq9wskEhzV1RkMDHCMjRl5ksLhMIPfTxMu1XNR3yNJ\nL5OBQ6o3sZjMtgm7sr1pCnR1AYkEQ3u7ZYehqe8xd57cOek3QV4d56rlbLVViv3OCs+h0Wg0Tmaa\nj4JBYRsqqigikD+eFHr5Vf6Kmmv8fmpPibeUayyabayj8C56rbzjjDEEAlT3ZWREorZWAuBIp3m2\ndhd5poPB/Ot01sPSaMqJNlI0JwXOMKBileCdqBWfZJJl8zByK1jqmZYmDloNmpoiL8PoqCsrL8nz\n8iGolgcdxxjL5qeQsZJIuDE+biCTsdDbK7F3L1BTI9HaSgnyQ0MSb7whkUoJ1NcDoZCBlhbA5XKD\nMQuVlRkAnqwnh7w4iQSFFSST5KXwegU8HhdOO81Ac3MGiQRw5AiFZlEVeIaaGgter8C+fVRk8S1v\nmUIm40ZvL0MqJbIeHAHGaPI8ehSorATOOw8YHwfSaQPRqEQyKRGPU86Iz0f3x+fLQEryOg0Pk8dJ\nqW4pA45zilNWxcKo1gsdYxg5OWJAIh6nexIKWXC76T6HQtIOiXManfRdUuhEOEw1a1RRTVUgc7a8\nlJXoXdFoNCcHUpKHGgAaGnjeotjICLIP8NJRD4thaspCVxe9O+20DFIpA1R0nGqplCtUarYw2HCY\nDCXl/eA8Z6gIIdHTw9DfL7F+PeUWut3kCR8eFujqIvGZUAh2OJseRzVLhTZSNMtG/kMln/aAWSyM\ni1zmtGI/U3vkpqa4Wp9PIpEw7ERtzsko2beP8iJaWzN4+WUOxjjOPtvKy32hh2ELlmVlEwmBDRsA\nv59WpGIxlpUaVgYQx8aNAjU1pNTFORCJMBw6JDE6yuH1qvonLlRXZ5BISAwOcpxxhoWmJsqXicWo\ncjFjwIEDQCpl4sABho4OhrY2IJHwYM0aYONGC0KQ92P/foZDh1yorp5EOCwwMsLw2msC69aZ8HgM\n+P0MtbXAa68BR44YaGszYRiU2H7gAHDsGHD8OLJGFBVzrK+30NpqQQhmh2lZFhlO5NUgwyEep/wf\nn48+k1LJclKRSBWyBtCq4saNFOZ24AAl2IdC5L2REnYxR+dqYCgkYVnUjvpORkZIbU2FIRT+BgrJ\nJX3qiVWj0RSn2Hw0NSXwhz+QJ3rrVhOG4YJSh6QitQKWJe1Cjqo4bTRKY6QQ5AkmsRblkTBm6kLJ\nKAxbGxmh8ToYlGhsVEIytI9pCgwO0lg6OmogHEZWAIAWzBIJks4fGeF2bqNGs1RoI0WzrBTW4XAm\nPhfmpgSDKraW563oFBb/c7m4rbKlCgzSgzIZCUNDEn195OKmwoeA10ttxOMM0SjlYkxMmPjLXyg2\nd82aDFIpF6qrqdq730/yvcPDHlRVWQgGGRoaOIRg2VopyFYjNnDGGdKRsE/qWACyCfsSAwMUVhWP\nc8TjEoEARzAIHD06hYMHKeGRsQwCATc4Bzo6aMKJRk309jIAJrxeiXSao6rKRFWVwIEDLgASGzYI\neL2UB+LzMQhhYu1agcFBDpdLQEryXjQ0WAiHPYhEGKS00NNDOTtut4WRkWrU1WWwdi1DezuFA6gw\nuGBQVWHm8PnoHiaT3P6+QiHY3ivTpJW8NWsY3G6a2CmJfnbPR0MDbOEC+p3QvaS25zY8dK0yjUYz\nHwrnI6otZSGZpPGcak7Rw7rfb6G7WyKZFGhuFqiocGFqihQiLYsK5gJuBAIkXd/fTwOhkmWfab47\nkb4r5S5n1AFA42oiQWNhJEL77N1L/xoGg9sNXHCBhbExV1ahkRbAgkEK2Q0ESFZeo1lqtJGiWTaK\nJco7H1DVttyAOz2hUR1Dila5gVqFFlH1dADI7cc5Q2sryfMahgtnnikQDrNsjkTu2NFRjpoaqi4c\nCKgaJAYMQ2Td98DYmJENJYMdrmQY0u6jZalVNKC3V8UE00RXV0d5M7EYkMlYqKsDTFO54IHjx11g\nbAqWJZFIMADk6ZmaEvjTnwT6+4V9Pc3NFo4dc6OqyoWmJhN1dRL19cDwsIU9e1yorTUxMWHhyBGG\noSGWLQZJ10SV6sm9T4mfVjbPhi4ynTZQW0ti+aEQfRdHj6oQCJa9vywr70wGRDQq0dVFYV6hEK0u\nDg/TpLdmjZE16MizpeqkFBqcue8+vygm/TbmP6nrisoajWYxuFwcW7ZIRCLSHpeVYhdA/x46BExM\nCEQiJmIxA0IIGAbD5KQL69ZJhMM8m68nEQiQ2AhjZEA4vcK5kNjFUTifSklzXm5OzI2FQ0MSBw4A\ndXVUCyuddiEY5NnQNYGpKRq/VWhvKmXoUC/NsqCNFM2yQDVLpucVKHLV22F7QpSbfT7V44FcfQ/1\n8KuSuTduhP2QHIsBbreRrZ6ee6hWIWNbt4rsuQ3bzR2PKxc40NZ2PNtHnnfeyUkLfr+FPXsYjhyx\nUFMDAC74fHTNFRUZVFYyHD9uoLpa4JVXXKirs8A50NPDsH490NpKOSKpFLBmDTA2xrPtS6TTlIy/\nfr3EkSMc/f0GTjtNIBIBpqY8aGkRiEZpv9raKfT3M0xMUP6J202rg5xLuN0kmzwwwLBmzRSamgSS\nSQOBgEB1NRlqpmnBMGCvxJmmwP/7fwAg0dpKoV0UGkDeFL+fCl4mkxQ+JgQJCOzeLVFXB3BuIRLh\nWbnLXJyz+q5mUvpaDAtNstdoNBog99Dv8RgIhy1Eo9Ie42hBhmP9eguWJZFOA7GYhXCYZ/9k1iNB\n+R8UukqLNOXwSBTWmlLhXLlEd55XNJdzhpYWC4zxrKeEFuOUChjlR1IIMGMcUmrxEc3yoI0UzZIz\nU15BsQfUXPwvPezm6pCg4BhnaNjsA6laDVIqVKoPzlX8kRGKN5Yyt3IUCFBfKBmd+pROU8FDp9t+\nasrCiy8C1dUC4+MSBw9SrsqZZwpEIhw9PQJ/+pMLjY0SmzebGB3lOHKEKrl7vQJdXQbiceCMMwTG\nx90wjAzq60243S679kh9PXDsGENtLSU6CiHR1MSQTrvhdjOEQgwDAxyTkxaamgRMk2NiwkBtrYTb\nbaGnh8HlMtDWxjA5KfDHPwr84hcutLRYaG4WaG6mCvWMMXi9mbzvzrIkfL5ccn8yybKyyTTppdOk\nONW7SMkAACAASURBVCaEyCqmcYRCDM3N0jYMGRN2mBdNrhLh8HRZy8Ukwhd62uZbX0ej0WiA6Upf\nSq6e8u1IrMSyBDweA6edZuK114CjRw20tFgIhVxwuQxEItI2UBhT3vBc7h1ACyjBIBYt51sY6uzE\nWTTXOZ+SsiXNG5yTIZXJCMTjdNzkpAWXi3IvSZ5YZj3+5VUm02iKoZcWNcsC5zQAFuYVKANCJegp\n70V3N9UdEULa252r72rwpernsCWGnQZNIED1U4Dc51LSipNpkut9aEhiZEQiFiOjIZmksKdEgvJH\nOKdQqZqaSUSjJrq6qhGLeTA5OYVoVKmG0QP4sWMG2tsFNm8GQiEXxscNOwGclFUs9PUBhw4BNTUZ\nMMZQW8vQ2EjyxoZhYO1aC0NDwJNPGhgensDkZAYHDnD4fAzV1QYmJlyoreWoryd5Y8MAamst+HwM\nzc0CUpro7XWhpoZj40Zg7VoOzg2YJs9WmKeCkQBDba2JdJrCF+JxCZeL7pmUVOCxrk7YIW8bNgCt\nrVSl2OslzxOFqsnsvZZIpxn27yfPS1OTgbe/naO9nYyanh4gkxF2LZVYjO57rsCmmHUCngn1cKF+\nA4s5fjHHaTSa1QnlczBbEdLjMbKS9QKxGAAw1NWROEk6zdDTw7JzSE6EhQrdIqvYSGPM8LBEd3du\nn8X0S411AKbNi0AuvGtkhGppmSYpPfb0MOzfz1FXZ9qFGym30MLYGAkF1NdT5XmqJVb8/Hqs1JQb\n7UnRLBnOFW5nXsFM2u6FifOF2wvbLvSMqAHaNEVWiYtWwmIxcl/X11uYnKREb5cLEMKy26cBm9qp\nqxNZlROJ48ctxOPAX/5Cyflr105iasrA668baGkxMTFBoWnvfKfIVr2vwhlnCLhcEn19NKnV1jK8\n9a1TSCaB/n5KcLcsCiNoanJhzRryUvh8DFNTDK++CvT1UV/XrRNYs8ZEa6uJykpuh4uNjbFsDonA\n3r3urAqaQCxmoKKCYqQHBjgsy4KUlEeybh0ZFePjBqqqDGzcaGb3A/r7gQ0bBEIhhr17SWYZIIOF\n8mwoDEIZGfE4eZcA6QjfIiMvFgOampCtM0BKYPE4kE5zrF2rvpNcYmosRkpnfr+wvwu1gldMZng2\nFrK/lNNr82g0mlOPfK8+t+ucJBIMDQ30cN7Xx2FZZlZAhGPdOqprRQs1ubFDedjD4Zx8OuUSAqUI\naXX2uVj/haD5JB4nj0kwKOH1MsTjAq+8whEIABs2mLAsjqkpYHSUwnxbW0mG3jCUUI2WdtcsPdpI\n0SwJMw1qcw12aoDv7FThVDzvs8LXlkWStSQhCUxNWRgepjhgcm8zTE2ZGBzM1egALFgWrWhxztDR\nIbPSkTxbH8SAZU3h0CGqRG9ZFiyLw+t1oaMjiUOHqrPhV1PYvdsAwLBtmwWv14Vjx8i7MTRkor+f\nZCgbGiRiMTfGxkiCt66O2cWxJiYsSCmxezcH5xLhsEBnp8DEBDA5CVRWWjhyRGD3blIAIwUZgXhc\n4sgRhvp6iaoqE0IwWBaFqNXVcdTXCxw9amFoiKG9XdVXMfDSS4DXm4EQBsbHPdiwgWKvh4ZUbDLF\nVDc1TdiCAORhYtiwwYJhkGcmELAQi8lsqBcZJG1tlBfDWH7YVWcnyyqfOUP6phujSgyhMPF9tgmx\nmFGiJ1CNRrNQnAtokQjLUyEkdS8KA0skAK/XQn8/x7FjJCkfDLrgcrFs7iUttIRCpNTY3Z2bZ05E\nzneuBRhnuKtlCVRXW+jrM5BKMbS1WfB6JQ4cYIjFLJgmYBiAlBy1tSbq6qg2FxU/zuXzac+JZqnR\nRopmxZIfFww70dpZkd4ZtuX1WojFOFIpCpkSQqK7m+KHTztNIBzm2cJVVCclHKZERyk5/H4ygGhg\nV/kSlGAejUqMjXG4XGS8BIMurF1rIRBg6OtzY926Y6iqAvr6DIyOkuLWH/7A0dwscMYZE9mcE1p1\nc7slPB6BhgaJmhoDbW0WXC6O4WEP4nEThw4BnEuk0xYYoxA0ywI2bQIGBjjicYGJCYmJCaCujsKs\nenqAY8cEKisZ6usZamstjI9TfkpHRwZuN0c8bmBqykQgADQ1kUcjkzExOGjA5QLWrjXxxhsu9PVx\nMEYqYoahwt2AdNqNl18GmpsFUikqPOn10sTW1mYhmaSija2tdJ8pURTTQu44JxW1xkZkQ+wYlJxn\nIkHJ9+GwtD1e9N3nG6fFfieqbee/C4WxXHihNmw0mlOb/AU0lqdCCABtbRJScsTjFqJRgWPHDHi9\nlKdYUUFGCYV85bz7ySTliahCwuocnC/OIzGf/YWgUGWvV8Dv55CSIZXiGBtj2LBhCj09DAMDpHLJ\nGMuG9prIZAQSCXe270RhaNl8+6DRLBZtpGiWhJlWfeYTjpOLfZ35c4oZptonbrcBISSOHhXZsCFK\nElT7jo7Sg/iaNQLNzZSkbhgcnZ2AaVK14FQKaG8XSKU4pLTg81EexoYNEqmUgUTCwOHDEgcPVmLd\nOqCqisHv51i7lmKVu7sl9u61kEhQ2/X1FhoaBIaGGLq63AgGTZimiUcfNRAOC5x55iSE4JiYkKiq\nEnC7GcbHqTK82w285S2UiP/66wb8fgsdHRYaGyuQSAik0xkYBnkj6uvJmJmYABobTUxMGJiYIHd/\nJuNCUxPdiz17OCxLQAgThw65UFurJDYFXC6gpobB4zExMUEP70eOeBAMAj6f8lYJAEb2/iJ7/wUM\ng8K2hBAYHiZlsmBw+qSmEuhHRgQCAVJrSyaZPSHmS13mxz47fycLTaSfCz3hajQagMYN5cl11jJR\nY44QBoJBWlwZHnajqcnCmWdKTEy47bpcagFNSdaTR4U82SovJZFg2bDZ0o09zjHP6zXxxz8CjLmw\nYwcl+1PIs8gm1zOsXy/R0KCKTFro7TWQSgFtbSaiUSMrmZzfRz1WapYCbaRoloSZHhRne4BU8rEj\nI1TVPBTKnyhU7gNNAAI9PZTXsXEjudj7+ih/oqZGorvbAGMC7e0SW7YI1NUBNTUe+HzSbj8SoYfl\n/n4Jn0/A76fwLs4ZNmyQaGggDwEVQZQYHraQSHiyK/AmamoEgkGGZNKFYJAS6QcGOBobM6iuRjZ/\nhFSwjh9n8HgEDIMMmVQKMAwBj0fC5WIwDDJOSLIY2LMHiESA+noLIyNAba2BxkYJ07QQj3NUVZEi\nF+cGampoRSwSsTAxwZFOA+GwQHu7AZ+PYpHHxkwIAVRWMlRUAOPjbjQ3m0gkJMbGGOrrTXR3Gzh2\nDKioMFBXZ2HLFiAS4RgYoErzjY0mvF4KZVA1X1ShTSml7XHJ91LlkuOHhgSSSSVhTN+dzycRi9Fk\nqQwWkqJWQggLU5jRsdMajWahqDApKSUCAeHw6ors+KU8wAxCcNTWCoyNGTh0yMDGjTIbvssRCuUU\nIjlH3iKMMlD8folwuHT1RwrHPJcrV2jX4zGykspUC+XAAVJi7OigEF2ltOj10gIT58pQUwuKsPuv\n0SwF2kjRlJ0TyUdRK+5SCgQCLM9FThKOSk2KqsZTTRPYA6vLRQndAwNUgDGTyeW2MMYwOGji4EGe\nldSlPtDDMvVhakogmaTXnAv09jofvCUqKijZ/o03TPT3U06I328inaaE/DVrBOrrgf37DVRVCUQi\nEuvXS/T0cGQyQHMzMDoKDA8byGREdtVNYnycVt/q6oDDh4EDB8hjwTl5V4SQCIUyOHiQI50WGB0l\nr0RTE0lk1tRYOHbMgMtl2jLBTU0Co6MMe/dS7ZnGRobWViriRSEBDMPDHKZporqa5I1NU2B42INI\nZAqdnRSqVV+fwd69DOPjHBs3WohGSarYMEhkwOulSYyKa/Jsscf879vrpfuaSuUEDeJxSkxVdXHm\nw0IT6TUajWa+KOMCUOMXjVN+P4VPJRIkutLZKbOhsrm6KGo+aWhQcxkchYmlPe6FQswuBFwOPB4D\n555r2a/VdblcPKtEyZFKcXg85Clxu0lEpbubaoV1dpL3RY+vmuVAGymaFUVhrRKStqU8iJERoKlJ\n2m54gCSDk0kGnw+2p4UKV5EhIoRANGpkK6wLHDwoMTYGrFtnYe1aE7/5jRtjYwJve5sFj8cDv9/E\n+vUWkkkDXf+fvW+Lsewqz/zW2vucOvf7OVXVVd1VXV19MSYxYANORkNCAkQoERFPUXhIkCLxQiII\nD0i8YIQQERJCiJe8oVhBKEpeosxkJvLMCJJhnHCxY2zcdl/rfj1V534/e601D99eZ1d1V9vddnfb\n4P1Jpao6l32ps2vt9a3//77vqpm0Nh0eagyHAvU6U+lTKTXJSKEWhvqNqSkSjEaDE/HRSODyZQYY\nKsWJfb8PKKWwuiowGJBUJBIK9bpEu83kYWOAgwMgkWA1he/h36NSARYWDNptASkVLl0CtrYErl4V\nUGqMdtvBcCgwNeVBCAHPU771sUSl4qHXo13whQsupqdd5HIGly9ze6dOedjYIHE4fVqj1xPo9yU8\nL2jBWloyqFYVOh1uM3BDY9Xrxg0mK1cqEoWC1ZZYkWhwoysWrQ218C0wcaStwBy7oQci1tv1Kbe2\nfx19LCQxIUKEuFccHzeok/O8wJlrNFKoVgVaLSCT0Wi3HeTzNEJxXXdiac9KDFuEaQRy1KUQsA6X\nD+rYAY6JlpwcBVuExeQYqIuxhIrGLbUa23dnZoJt2X2ECPEwEJKUEA8cd6tHOS6UD2yES6UgwNEm\n1RtjQ7VoJ0y/epsWb1ewBEYjEppCgTqV55/X6PU0NjYcJJMSgIdEAkinBXq9MZ57TqLRkDh92sP6\nuotkUqHd9rC66mBhQWN2VmEwcNBus9KQSnGFKhKhCL5YpCMWRewankdylUwapNMG9ToDDnM5IJMx\nGI+BzU2BqSmDc+c0XnnFAaCRydClLJkUSKcNEgkSl+lpkpRz5wz++Z8NVlclHntMY37e4Pp1/h26\nXbqBxWIGqZREJAI4jgHAXJadHWpXEgkPqZSL3V3g1Vd5LracH4kYRCIRZDIapdLY15qQXN244aDf\nZ2ZKJCJx/jwrPKORwdWr/JqZUTDGxXgMVKvKzxagbgYADg+Zak/3GOm371kiJE/UoJwUyng0RBM4\n2UI4vKGGCBHiXnHruEH9hkYyqbC2xnvS4qIHIST292nR67oShYLCwQGwv89qcaEgUC5rv6p83Mr3\nQR778cq1NzEtsbCVbi4Cmcm4y7wvajmNCaz8rYZGa4NK5cFWf0KEsAhJSoiHgjsNyq/1uF1p0lrC\ncYxfXaBjFwBfd8HBdG+Pdopas2XKdR1ks0xW19pgedmgViOhiceBVAp+Ncag0zH41391fWLgwRgm\npDsOMB6zBSkW0+h0DHZ32e7V6zm4cEHh0qU2Go0IslmJet2gWpVIpw0uXDAYjWIwRiGV8rC9LbGy\nYhCJGAyHBoUCLZKjUfYGT00FVpYzM8DVqw6iUY18ntqOaNRgZgbIZOgUtrurUK0a9Psa29s8l50d\num29+90GKyuA1gIzM9SlDAZc8dva4t9Oa+CFFyQGA4XRCOh0NIzRSCYFej2Jel3gPe9RGA4F9vYU\nUik1aVlgHgtvXrY97eDA+GRMoVIx/nMKN29KbG8Dc3MK+/sOIhE5adFjyjI/u1qNAvujJPNWof2t\noK7Fvtf4bWV3rqqECBEixN3gTmOHEMHkXGu2EFMcz7FRKeohbYsyQ3utLTsmRODowsqDhucp/Md/\nUNP3G7/BBSN2I/CrWqUFfrkctFcrRV2mvU9JKfzqkEG9znZhdiuEY2uIB4uQpIR4oLCT2DcbvHd0\noprPa4zHBoBzROCokcux9UsIg0pF++nzGoBBPk+NSD5vsLgIX+ytsbPjAFAADACJ5WWFw0MNY1yc\nP892su1tibNnPXS7Et2uRKmk4HnGdwHLIR5XOHeOlsNCsC0sEolgbg64fl1iMKBDGMXyzDvp9w0u\nXZLodCJIpcb4xS+AX/yC2ppIBP4xATdu8AZYLgN7ewL1OrC/76HZFEinGcg4GgGxGN83GABTU2yl\nOjggCUkkNIpFWk/m88D586zSNJsCtdoY8TgQjUp0Og5cV6NU0gAkVlYktrYMarUoBgO2tOXzrMJk\nMvbz0Xj1VWB9XaDTMZie5nPdrgMp+dp2WyKbVfA8q7k5motynFTs7xs/1BGYnj6epXK0hcHz9B2u\nn+D3O+mdQvISIkSIO+EkraQ1cbF6xmJR4cYN2vim095EHG+MhhCOH1hLnR5Dad3bqhsP2sjDHvNg\noNFqBTkntlpyeMifHUegUNATM4BcTmN7W+E//5PGAJVKMF7mcnbcFQ+VaIV45yIkKe9wPKgJm111\nbzYjqFbvfkC+k8uXTaj3PAPPI+HgKhBzQgCB06c9KOVASrpRUeCo0WpRF1EoGBjjIJMBVlasmFwh\nnXZx+rSC4yisrEhcuQJUKgqPPWbw4osODg40ymXrmuWh06F94/4+sL8/hfn5IYzhfhoNg9EIfouZ\nAKDRajEs6/RpHvvVq0AiYaCUguMI7O0Br7xCnUg6zYqK1myvGo9ZHdneZstYuWwmFSDPg28XDJw5\nQ4KzsgK89BJw4QLzWPb3JUYjtpel0wLJpEA2y4yVjQ01qUpR4G8wHjNDRQgBpQyE8DAey4mNca0m\n0enIiRXx5iYAaMTjY3+VUSAeN75jjYtiEbh4UePGDQcrKwZSUmxaKhnU60w7tvbEWgNXrgC1mrWM\nPpmoHq28HLU2Pnr93Cl0LHT7ChEixL0imNgLf8xyUC4D47GH69dJTvJ54ObNCBYXFZSCr9MDmk0H\njmMwPa0f+Hhz9H4etEa7ePxxBSGCdi9WflgR56IfUK3S6YshlSQ1uZyZ6EKlFIhEKLY3hn+LcAwN\n8aBxX5sK/+3f/g2f+MQnMD8/Dyklnn766dte85WvfAVzc3NIJBL48Ic/jMuXL9/PQwhxD7ATNhuK\naB97o6myR+1lq1Wg0Yic+Pyb2S4TfoM+WWNYljZGY31dQEqDdFrh2jWD69dpFVyrMVCL5WsNISjA\nbrUoHsxkDLa3HWxuSj+Z10O3a7C+LpFOK5w+Tberfl9gdVVifx8oFIyf7q5RKo1gzBjVKl22xmMD\nY5TvmKVRr1N82GgAm5uspBweAv/3/wIrKx5qNbafzc6yIqIU0OuxKuI4JC31OiZZL9EoqyVS8rFu\nlyTGCu7rdTmxAh4Oua1KxWB+XmB+XsBxSFwOD1mpWVlhNUZrVlMAg3RaI5PRaLU0+n2JaFQhm6W1\ncT4PLC4qLC8bLCyQWAkhoRRQq2lcuybRbBoMh8p3v5H+Z8Uv5rPwJmlvfmz9oogzlzN+bsDrJxzb\nVc7DQ3HsOrZVFduq8HrXl3ljl3yIECF+xXDr2GHvPbY9yqJQ4AS91aKFvFJsqW00BNbXJbQGlpa4\n4NJoCBwc8H13Oy7dK47ezwcDDzs7GoeHbEebnnYwM+McW8RpNNh6NhpprK1JVKsKr75qcOOGRLks\n8MQTAsvLwI0bXLjzPO27OMqQmIR4aLivlZRut4tf//Vfx5/+6Z/iT/7kT26zEf3GN76Bb33rW3j6\n6adx4cIFfPWrX8VHP/pRXLlyBalU6n4eSog3gDezynyy6B3IZseTle79fQ7wlcqdHZlurewcXTnP\n5/VkIrq0pNFsOjg8BFIphfHY4NVX6aCSTitcvsyJ8cKCQSol0G4D166RyADA3BzL22xF0r4ehNbD\nFBQaZDJ8vN93MTfnwXEMYjHmtWQy1MokEix/P/ssRZVLSyRSOztAqeSh26XAfGaGjimDgUYuR5LC\nHmXA8+iYpRTJSD7PiX8kwq/9ff6dlpe52mWMQj5PW+LVVUtSBBoNg2gUKBQ05uZobWyM9rNQ2BZH\ncSdvTPx8eBNrNLjPmRkPN2+yjSEeV9jacjAeS0gJrK0B6bSCMQY//KGDXI4J9EpJNJuAEHryP99u\nA2trbCNgRQY4d07D84Bez4UQdE6r1wXKZXVEPE/tUK3GvmdbRTva9jU9zbyCo5k5J+G1q3LHxaWN\nRgS53Piur/cQIUL86uLW+4/VOubztA0+PJS+HkVgYUGjXheIRiWWl7lIpBTbdTsdF+WygeNgMjY+\n6Ak+w4RZiV9cVCiVnNtE7o4jkct58DyDVsvxF/CMbw7Axa9o1IHnaWitfWvlQCd6698pRIgHhftK\nUj7+8Y/j4x//OADg05/+9LHnjDH49re/jS996Uv45Cc/CQB4+umnUalU8P3vfx+f+cxn7uehhLgL\nnDRhu3/bBXK58SQEyvP0xIGrUNCTlfPj5Ebf5uBkV7DswGiMQavFqsR4rNBoUIeSyQicOkXyEIk4\nSKVYqp6ddRGNAjdvUoDe7doSt81QwWQV3XEMajWDnR1rWWzQahl0uwovvkhCkUoZDAYSjYaB4yg0\nmy663SQ8zyAWI/nY35dwXYVolMQgnQZmZ/k3qNVY2ej32aY1GrGNK58HXnyRxzE1xRuMMcClS1wZ\nGw7hu8IonwCRwHS7rMCMRgaRCCsy3S7w8stc2YvFSJBeeIFEbWnJg9YOpqYEEgngkUdYsVEK6PeZ\no2IMKxqZjMbsrINeT2N/fwpXrxosLpKUtdsetDZIpVxMTwv/83GwtMQ/Zq3Gm1qhwEpWrWb8Fj2B\nbDZIcm40gKtXDYzRcBxWUZizIiefy0ktifW6PHadnHQd36tZQ4gQIUIcBTWPFJPnckFrqTG0pueE\nXvj3OYlolGPR4SENVyoVhilWKnzfg9ag0CqZ4y8XeW4/H4BVoN1doN0myYpGJaR0cP4878HNpuOT\nMb6HYZBhVkqIh4+HpklZWVnB3t4ePvaxj00ei8Vi+NCHPoRnn302JClvEW7t4X+jibInid6PFtLs\nhNWGBjKl/aiXu4bnsdpAiIkoXgiKvW3uCcAVeE76+fiZM0ztdRz61b/nPRqO4yAaZWaK43CiL4RG\no6GPVPm4yp/LURNCQbqelPG7XTpi0X5XYH7eIBo1EIIC+mvXAKUkLl40WFtjtkmxqOG6wLVrQLNJ\n8rC9bSb5JOUyqxatVpCHsrnJ1q5ikRqbwYAZKVevUnwuJasT29v8ajRIThYWWH1pNEh6AP6+uiow\nN8fMFTp6GSQSdPKKRrWfnyLQ77OCMz0NjEYS1aqD5WUP/b6D69enMDMzRKczRK0WQaUiUCpJNBpA\nJDJEqyXQbkdw8aJBreZM/pauK+C68IMt6fSVzWIi3szl+NlcvMgJQK0m/FYwEplCIWilOJqX8lrV\nvaPX8b1UA+11awl1iBAhQlhQfM5FMoYFkwCMx7z3MNspqALb+5ZdCCuVHu6iiLUZvnBBYX+fehjX\nBYpFVnbs4k46zewxtjwbOI6cVEvsQo/NeqnVuN2pKbYNh0QlxMPEQyMpu7u7AIDp6eljj1cqFWxv\nb9/xfT/72c8e6HG91Xg7nJ8xgX7kQUzW7DlaTUKzeXxfSgHr6wkIAWQybLnZ2Bj7bUjBawH+btPk\nm80Imk0HqZTCtWtjtFoRZLNjaA20WhFkMmO88gqPIZ0ewxjg5s00trZi2N4eIxZjKnsqpZBIKHS7\nDrpdB5XKCGO/82dvL46DgyjSaQ3H0XCcMTwP2Nlx0GopzM/Dv3HV0O1GoTXguhTXr63F4boK8fgA\n29suAIl+XyIeH2FpaQitp9BqRVGtRgEYXLrURSLhwXVjyGQkajUXnY7BmTN9uK7Gz34G9PsSxkQx\nHgPd7gCrq1EoJeE4wN6eg1RqjGLRQyIRw2jkYW/PQ73OkMrhkI5dMzMD5HJjbG1NYTRyYYxEtTrC\n4mIP/b6Dzc0RAGBtLY7DQxe5nIMPfrCBbLaK0QioVhP4yU+ykBKIxTbx0ks9dDoRNJsRjEbjyWdj\nDNDtOkgmFU6f7kFKfv6vvpoAAJw505tcC9nseHJtbG1hEuyYzY5vu17stcTr5Pi19nrXsn3frY/b\n398O/48PCufPn3+rDyFEiF8qsL1UToxb6CRp/AUVVn5zOYNW66idOu3XGVLr3Kb3PNp69aAm/NGo\ng5kZDcdh+9eVK6xcU5Mp0GxK5HIa6TQX+bgoxIR5OpRR+0lnTOpqbm3fDxHiYeBt4e4VXvzvDNiJ\npyUc9mO3jwOcRLbbkckE9ehrj04ws9nxZGILBKQkkxlPiIz9AoCNjQR2d6NwXbpItdsOyuURarUo\nhGC+R6fjIJEgcQGAeFwhmx2h2XSRzXo4daqP/f0opGRVptt14HlMY49GgWLRQzY7xvXrcSgVRSKh\nEI+PYAzQanEbxgCeJ7GyEsdg4ALQmJpSKBaHSKWGaLcjiMc1pNRIpyVcV/tOMUA+P0YmA4zHEuOx\nTYHXKBY9tNuunw3joVgcIhql4L1YHCKR0Dg8jMIYIB7Xk7/z9LSHSMTD6moM3a6LTsdBJqOQzY6h\nFKs0sVgUvZ6DVisCx88By2bHmJkZYTym0P4Xv0jDdYH5+QGUAra3YwCARIIuN62Wg62tBLLZMdLp\nsS/Ox4RM2m2225EJkbGf50nXy60/W9jP+qTX2+cfJBkPESLELz9OahcNUuKZPL+3R81ioUBbeyk1\nhJD++K7QaFD3US7TzdBW/et1gXPnFKSUt+nt7udxW3vgYlFjb492yIUCUCrZ6jRQLtMts1az6fPU\nCVKTyWMqFg3qdRItWinfnlwfIsSDxEMjKTMzMwCAvb09zM/PTx7f29ubPHcSnnjiiQd+bG8F7Irt\n2+X87pcV8dHt3Ms5vu99evL+K1fYBjQzA5w6ddyR5FbdzNGkcWPoCsV8FJa3hZC+SxUzSnI5heVl\ntlbF42NsbQkMhwLptMJgwJYqQGJ21iAeFxiNBCoVhhpS7M72rV6Pgnate8jnR7h4MYdaLWjT6vXY\njjU3F8PaGvUj2Sxw4QJbq/7f/2ML16lT1LHMz0eQSKRwcMDqQLlMg4HRCCgUYqhUgPe9T06E5oMB\nkEwmIaVBpwO8/DKtIRcWImg22VYWjwf2xCsrbBuLRoHRKIFEgkTL80hGhkNgZiaB0Uhif9/Fa+eA\nkgAAIABJREFUo49KlEoOMhkPzzxz07eTXsZwGMHFiwqPPabQ7SqsrzvodoHHHwc++MEI2m0Xs7Pa\nr3YZX0AqEY3SjjifN0gm+VllMsZvIeBK3k9/ys+Sn49EqYQjwWmvfX0eb/M6+XWv9Zq32//jg0Cz\n2XyrDyFEiLc1bm0XBXBMMwnQAOb55/laWhBLCGFw9iyznapVvi+bZZXiKGj9e1wrcj/uvUePO59X\nkxZapQxu3pQANLJZgNUgthhnMgb1ukGzqVEoANUqc7gYqmu1pCQ8rZZEJBK2e4V4+HhoJOXs2bOY\nmZnBM888g8cffxwAMBgM8KMf/Qjf/OY3H9ZhhLgD7sfAc+tAqTXuejC2k9HRSCGZVLh5U2BlhRqS\nSERCKeOLyWkfXK+biduKLUXXasDOjgelGMAIGGSzCs2mg8VFZnk4joNKReL6dYPVVQexmEEsZrC9\nTe1Gvw9ks3oiOo/HNVIpIBo16PcDxy0rUu/1NIZDiWvX6IgyGlnLR5KElRVqSKameJ7DIffT7fJ1\nWnM/NhdlMOB2qI+hA9jGBnzTAT2xFB4OgViMKeuDgcD73sfnVlb4nNW8xGI8zliMNszsQeb2HYda\nnGiUr71+nefuOExSZqVDIpUa4+WXM5ASOH16BK0ler0IMhlM2gd6PYkbN4BCQaFYlEinPdy4YbCx\n4WBxURxzY6NltMHNmzQuKJeZv8LVOqBcZlbLG9WZ3Am3BkKGYWQhQoS4G3AMMv7EXwEgYWk0jB8Y\nLJBMMitlfZ36PFt5oM6TVZVq1cBxnEl7FSDua26TzQ5rNODrAWkgI4SE49AGuVYDAC4gra6yde09\n75Ho9aLQmm6MVhtKC3ntb+u+JlaECHFXuO8WxNf8dDitNdbW1vDCCy+gWCzi9OnT+PznP4+vf/3r\nuHTpEs6fP4+vfe1rSKfT+NSnPnU/DyPEA8SdiEZQ5RDQWuOVVwzW1hI4c6Y3ef61BmMr1Lt2TaDf\n50RWCOe2bbMfWPuBh9xOoyFx+rSHXk/j5z9nLy7F79LvFzbY2xvjRz+SSCaBj35Uo9mU6HaZm7Kw\nIHDlCgnBzAxXkSiONEgkgG6XK1E2pNFO/IdDDuJSsqrS7ZKU9fu0Ebae9fE4Sc3aGn+PREgAZmYC\ncmLdviIREh06ecHXdfB9rRarNP0+/PAtEiDPM0inedy5HMlPLMbjo8gdmJ1lyCStMLnddJqvm5ri\n4/v7/L605GE0cvHzn9NIYDCIQUqgUtE4dYqBjfm8QiolkUySaExNCayvazQa7HW+cUNgfd0gmVTI\n5Vy4LsM3Dw54/ZRKFJZasSYgUCpxFe+o85uF7QPX+mT7y5OMG07Cw059DhEixC8PThpHbIvXtWsC\nSmmMRgbGCCws0PHKdRWM0ej1omg2NebnFaQU/j0mqNq6roTrciyjHXwgyr9fx601JsHFxSJ/LpXM\n5BgODwUymTFGI4WDA2Bvz6DbFbhxAzh3bgStBW7ckKjV+H62+NJ2n5b54VgZ4uHivpKUn/70p/id\n3/kdAJx8PPXUU3jqqafw6U9/Gt/97nfxxS9+Ef1+H5/97GdRr9fx5JNP4plnnkHS2hKFuK+432ny\nd5rcaW2wu8vV8XKZk8CrV4Hd3SjS6fHrWhvb7XoeRX7drkQyqfzBlcnwUgqcP69RrQooJbC4CBjD\nwfPmTWB9XcLzDOJxD6mUwPIyveHHY43xWOHwEOj3DeJxA6UEkskxqlU6dmWzBv2+i0rFQ6HAykU2\naxCNCozHEpmMQrUK3xmLx7y3R3KRTnsTncfUFCZEpl7n+VhnLiFIbGhjzFaubJZEYn8/qGxEo1bv\nQkOBSIREwraiuS4fcxxmsbTbbOdaXQ223WgAnQ7fzzYtTv5TKVZ46nVM7KDHY34pxeNvNLj/ZtOg\n0WCv9WDgIJsdIZmU2N0VEEKj15NIJg3SaQeVClcXt7aciaNXqyUmwY/Mt2FfNkDBaaEg8MgjvH5s\nRorjHHea29nh33V62jq9wX8dx5dbCcZrXef3+r9wv/93QoQI8fbHa/3f53LUbKysMI8rn6crVqPB\nxPl02sPNmy4yGeO3UlET4nnBwgt/1xOXrSB75M2PNUd1MyQ+1J+QIPG5bNbDj38MbG46KJc1LlxQ\naLUEmk0Xzz8PtFoCmYyCUhIA81MaDYYD2+MMEeJh4r6SlN/+7d/2LWLvDEtcQjxY3Otq8ZuZlLEC\nYtBsAu97n8HMjMTyssLNmwrtdmTiaPJ6K92uK7G87OHaNaDRkH5blZhMSmkLLKAU/IAsls2FYAZL\nr6eRSmlI6SKfN3Bdg2vXrAWvgyef9JBMCrTbDtptjVhMY30duHKF4Y6O42B3V+HGDYnFRe0LCWnb\nu7vLQMRYjOTE5pi4LoXiDKjkYzMznOxTgAjs7pIkFAokB5Y8aE0yUiySpBwcsFKyuEjisr3N7Wez\nJBfWsnhxkWSoXidhKZX4e61GgjEe25BIPr+zw/1evMi/c6VC4rK1xX1nMtxvOs1jq1SYNTM7y4rU\nxsYIWgOJhEGr5UEIidlZ+I42GsYIdDouTp3SyGaZMM8QTR7vjRtAq6UnwZGAgOMcTZnnNVEqaezv\n87rNZvk5ADa4UfrtEfee5XPS/8JrXYthpSVEiHceTvq/D8KEaaFfLks4DhdMpqZYqeckXsAYb7LY\n0m7TLn80Mrh2zUWxaFAqGd/SN6h03KpZeaPHDeDYWGoft+Ygx0X1HMvPnQOazShSKY1sVmF7O4LT\np4OQXHYs8PhCk5EQbxXeFu5eId5a3O2k7E6TO5uBYn+mbaODubnBJMzx1vfcut1iUfvtW44v/CNR\nYShkMHDmchQFAhRWM9mevvVbWwbr6wK9noIxFMO3WgbttsHcnEImI9HtCmxvK3Q6ZlLZqNUcfPSj\nTGZvtyXm55kv0miwujA1JVAsstVsMAjIhdaA58UhJfuLm82AdFiSEI+TAADA+joJhOMEhKPb5WPD\nIX9PJPj7YECCYSsrVjfCGwx/r1QwyWMZDrmPUgmYm2PuCt2/rH6F29zYkJif15ifZ7tYv0/xPh3O\nBCIR22plhfES1Woc+bxCp8PfT50SeM97DDY3LekyEEIhn6fgvV5nBWV6mjqY1VWBTIY3Za2pIapU\njqfF22vDEsCFBfZU2+eY0XJciHongnHrtXWna+5OYHthWEUJESJEACFYkZieNpDSWg0bLC+z/fjG\njShyOY2lJVZRGg2G1UqpAcjbtnW/dKB7exzzpqdvH7OE4DHu7/MeVSgAxSLH4NlZ3g+bTaDfF0il\nRjh7VmB7OwallG8UI/yMMuBoW1pYaQ7xsBCSlF9R3G2P/q14I2ndrivxyCOYVEwCQjE+tt1bJ6VH\n3bq4wkQSAhiUShK5HEP9btyQUEohnzeo12nz6Dh8//4+BfWep3ziYDA1RZF2uy0QjXoQAtjZEajX\nDXo9Da01Wi34QnBa5WoNXL2qMTVl8OijbJdyHIlo1ODCBeC//BfgP/9T4No1thul04F2xHU9DIdR\nTE2xytHtwtdpkBjYlqqpKZIW2vICL73EfmXbYjU3R9Kxs8P9p1J8fTweECMAeP55fj9zht/39liF\nyWaBc+eA+XnqX+hgxkqJ1hTGLy5qdDo8lne9i9WYtTWey2OPcXWt1QJWVxW2toDBQMNxor6Akvsr\nlTSkpM1zpyMgBP/2rZaDRx8dod12/b5oak+E4N+L1sLMFrCf/d4ev09PBwn1SvFaOXeOn7dtNTia\nL3DSdWvDP+0K4tGWsLv9XwgCRBnOdj9WOkOECPH2x0njBBfcgsW7o9a8tBUWEIJGIYuLBq7roN1m\nQGIuR7KSy2HiVDg9bW7b1psBw5ExCZOMRo9bBBeLHBevXeO+cjl2IAB0qsxkFAYDjvXPPedga0vg\nwx8e++MujVSklMcCdQGEleYQDw0hSfkVxt0OHoHo7u7SvU/CUatYSzxsCN/eXuDZbrefz3OlplYT\nyOc5MVXK4Pp19tMuLwPT03abGisrQK1Gi+FSieXyahW4eVMglfLQ6wGOo5FICPR6Di5eHGE4dLG2\n5qDb9SClJQ0G1apELGYwPQ2cO2ewvg78t/8mcHBgEI1ycp9KAefOMXH3lVcknnySfcZSkkCk02zJ\n6vcFZmc1pORjjsP2Lmvv22hgks0SiQBLS0EVJR7nz+02V7iMoR6m1eJ7s9lAx2IrMI4TaFY2N1kF\nSSS4bVu9oXsLqyO7uxTkW4Lz6KNsb6tWWY3xPH71eiQrp05RUHn5MolLPg+fFGpMT3O1bmHBQbMp\nAGhMTysIQftKrUe4fNmBEGZiv5nLWXcZunlprXBwINFsAsvLCgcHtL0UQqNSkahU2Eddq4lbNCq3\nE9yjP9OC2rq/nXyN3wu40nlPbwkRIsQvOU4aJ44SimCsEZDSQCmN/X2Nn/xEIJ02ePzxETY2ItCa\nBEEIjmNHSc/9nNRLKZDPa78CLSYWwfY46ZhokMsFi4i27VdrOpEZI/Cud40m+VUAW3mbTX3MDTFE\niLcC4W04BIB7HzxPyiyxA6MdHF/rvQcHbBWyvvFC0AnKSpqoKaG+4fx5tv8I4SCdVshmmYHieRqZ\njEKhYNBsOtA6grNnWem4ejWCwYBak6kpgakpgYUFgeVliWKRLljptMDuroPdXaDVYn6HUoGwfG2N\nuo0XX9T4X//L4MYNko5eD36VAQAMDg6iKBTYUlWtkgzZxPpsliRkd5df29uBaN2K7GdmSCSGQ24z\nHg8qD46DiaXkaETCE4vx8fGYVRS7n24XeO454Cc/IVEhcQu2b13F2m2+7/CQRCWV4rauXgX+5/8k\n+QL4+OnTNDMoFEZ497sFFhYkul0HGxseNjY8rK0JbG4C8bhBv+9gb08ikzFYXKSdMIPDrN2wQTqt\nkMnQ5hIAMhmFTMZDrRZYcUop/TaFwHTg6LXlefrE64yVE7aZVSrijnkprwUrZH0j7w3x5vFXf/VX\neP/7349sNotKpYJPfOITePnll2973Ve+8hXMzc0hkUjgwx/+MC5fvnzs+eFwiL/4i79AuVxGKpXC\nH/7hH2KL4rQQId4Q7D2P9ywNz2PFVimNdltjZ8fghRcEqlV9TM9hTOBe+XomMveKoBVW3BaKrbXG\ntWtclAI0mk0xqVzb+30m4yGb1VhYmMJ//a+8R3a7rm8TjyOLlsGYGI6RIR4mwkpKiAlstYM/v3Zr\nzeuVe4+2e1l3Jju4eR4rNsUi3bEODoC1NbqJZLMKxkgcHkpI6SEadRCLubhwYYzdXQ8vvkgr29nZ\nIXo9WkDmchJLS9Q7MIwQ/goW7XA7HYHhUAEQOHtWQikP29sOPE/DGOUHGZIEtFpBpolNrO/1WLUo\nFDjBt1URGwgJuNjeZnij3YatlCSTQSXEGLZylcvUrdTrfN62fFnnLs/j65tNtmrZSozrkkQBJDGu\ny/15Ho9NSpKcTofHXCqRvORy8PuOqV+p17m/fp/E5tQpkpFWi78nk6y49PvA+fPAYDCEEGztoof+\nGFtbPJ9kUiCTcXDqlEKnQ3KxuCgwNeVAKY3dXYNORyCVUhOBfTZrYIzC7i4/d2OAs2dpeCAlUCoZ\nP0dATNq3bDXlTtdt0Kbx5tddjq6aHv09xIPHv/7rv+LP//zP8f73vx9aa3z5y1/GRz7yEVy+fBl5\nsl584xvfwLe+9S08/fTTuHDhAr761a/iox/9KK5cuYJUKgUA+PznP49/+qd/wt/93d+hUCjgC1/4\nAv7gD/4Azz33XNjCF+KecbQyMR5rNBq0I9aaVZVHHmGKfLPpIJulwJ7v4yLL3p7y73kCs7Pyvo4p\nritRqdzeppbPG2Sz8EXw7FQ4PATqder7EokxVlY4Li8vC0xNRRCJ8HjpqokJ8Tnann2/q0EhQrwW\nQpISYoI30+4F3N7Te9RZhKSGfbP1OhN6czmN69cdHB4ydJGr57SjvX7dYGVFYHlZIZczuHFD+NUJ\nhXbboNVS2N6WOHVKY37eoFCQ0Bp44QUXjjPCe9+rkM0m0GhEMDvbw3PPaeztCTzxhIdm0/F1KAxx\n3NuDL/S2NsicoBcKJAvtNif7ySQn/tZauNcDGo0ItOaxbW4GYY6pFLezs8PHpqdZKUkmWRUaj/m9\n1+NrrYjdCuetjbFSJFD9fhDimMkE5GRpic8NhyQ+gwG3NTsbEBkb4BiPszo0MxOERJ4+zeMdDknO\ncjmSln6fN7/hUMN1gc3NKQwGGrmcRKGgMR4L5HISf/AHNDg4OBCTfud6HQA8dDrA4aFBJgNEIrQs\npsmAwOqqwMGBQiRCcjI9zVY7e61ISR1KPq/9G6v0NSLCf+44cbnfN827IeIhibn/+Jd/+Zdjv//t\n3/4tstksnn32Wfz+7/8+jDH49re/jS996Uv45Cc/CQB4+umnUalU8P3vfx+f+cxn0Gw28d3vfhd/\n8zd/g9/93d+dbGdhYQH/+3//b3zsYx976OcV4pcXWhuMRgrjMXxyQuertTWBRMJDvw8Y4+DRRxk0\n7LoSoxFzRfgz25VbLeMH/d5/Hcet29Oa3QWVCoMYGw1aDitl0Gwyy+zKFY3Ll4FEgtqaU6dwZIx1\nUChQHyqlDB0PQ7xlCJeUQtwVjrZ33Uu51xiKuqtVjYMDPcm6sO4mNkujWLThfmzxymQocN/dVbhy\nRePmTYVmk5Pv5WWNVEoimxWoVDysr2v89KcGOzsKSg1x5YrEj3/sIJPROHPGw+EhxfcrK8BPfwps\nbCh0uxQcHh6SJJRKwJNP0jHr4IAkoN3mxH1hgd83NwWmpjiJbzY56a/VItjddeG6rEJ0uzznwYBf\nmUygTclkSByuXaP4/cYNkgOtuS0h+P3MGe4jnyfBuHqVr7OtXjarZWqKZMJaH7fb3I/jkLAA3Pfa\nGlu4rDXx6dMkS/PzPLe9Pbai9Xrc9vPPAz/+MdDtaqyuCqyuxjEauXAcYGpK+0TOTHQujQbwyiv8\n+2QyHlotg/V1g8NDD/2+huMYX2TP1OOzZw0WFgDXdXD6NPCBDxjEYlwvsYnISjFP4PBQTFx0bl3B\nOzwUx1q+HlRLxUm429bGEG8OrVYLWutJFWVlZQV7e3vHiEYsFsOHPvQhPPvsswCA5557DuPx+Nhr\n5ufn8cgjj0xeEyLE3YALWQo/+YnB4aFGKkUDl6Ulg3xeIBKhOxYXzgQ6HQdK0WVyZSXoIEgmNU6f\n1iiVAlfDhzFWScn7Ke+3/J7JaGQyGq7rYH6eQv5aTWA0ok6U9z86bNbr4jWP8aS27xAh7ifCSkqI\nCW6thBwdfG5dRbmbfAkg6Me1EILJ4kxUd3DxIie9N264fkAWhdieJyAly+rcDvuAhRAYDiOYm1N4\n9FGDnR0XV64YKOXBcTSaTU6ad3YMDg7GODhwsbISwenTIxjD8xgO2RIlBCfmUtIe2HWD5ysVkoyV\nFZKFRAKIxZjsHo9zH3t7nNTnchrT0xJra/BdpYIAxW6XRCGX4z53d0kuLOGwYvsnngB+9jP4AZN8\nnDa4xxPkx+PAWtiYQJNiBf/GcPsHB4G+xdopd7usoszOAltbEsWiRj7PikosFnyOrRb/Lq7LCtD+\nPh3STp9OQGuBgwPpt88pPPdcBK6r4Lo8tlpN+J8t82yUol10LqfRarloNIB2W2JpSeH6dYF+PwIp\ngxudEAKFAtsoqlVACINCgdeMvSEedfnidcGf9/fZzlAomBPtOO8Fb9QdL8T9xec+9zm8973vxW/8\nxm8AAHZ3dwEA09PTx15XqVSwvb09eY3jOChapu5jenoae/Yf5hb87Gc/u9+H/rbCr/r5AQ/mHLUG\nVlcTWFmJo1IZIZFQ6PUCe30AGI9jEAI4PORjkcgY+/sJ/+ce2u0ItrZiSKcVhsMeNjdZgW82I8hk\nxsjnx3edQ3Iv52g9RDY2+LPnAevrCfR6jq8NHKNSAXZ2Ynj+eeDKFTV5LpUaY2eHx9zr9Sb3G7s9\nu/1Gg+Y4udzdn8P9PMdfVvwqn+P58+fv6/ZCkvIOwd22ptzqYgKwBHySHuCkbQaEhKFRzWYEp0+z\nUmItZhnMx/fYCWc+b3w7Rbo9JRIKnQ7fMz9Py+D1dQlAo17XcByJUklBa4FEAkgm2cYlpcLysvKJ\nB/NTZmbYrjUasYrR63FC3e1SA2KrJi+9BLz73UH7kzH8eTTizWp2lhUXS066XU7uM5kBisUEul2S\nB1thcN2AKFidSz4faE8SCRICSwaGw6DVrFTia4dD/myduCwBSqV4zP0+fIE6f47FeK52LhaP8zws\nien3gZs36aZVrwcEKhoNyJN1DMvnJS5eFOj3u7h6NYmDAweFgsb0tEY6TfJBBy6BmRmS127XxcKC\nwuIisLJig8IEut0Izp5VaDQE9vY87O5qdDoRlEoKtZoDrTVKJaBcltBaYGdHo9GghbFNOqYAFLh4\nUcN1SbKqVfi93vd/Ne+1/ldCEvPg8YUvfAHPPvssfvSjH90mCj4Jd/OaECHuBUIAmcwYxSJbhKUE\n9vdZyo7HFTqdYMKvFHztXgTZ7Bjp9Bjr6wl0Og6kBNptB81mBPn8+HX2+sZhiYRdLLOPaQ1sbSXQ\n7Trodh1Uq1EsLACFwhjpNA1rdnej2N2dwtzcEOUykEwqzM31Ji6H4b9XiLcCIUl5B+D1+klvJRtH\nhcr2uXI5sIJ9rW0e1aE0GhG0WpHJ+6UEDg+PpojzxRRH06mrXndgjEa7zW1ls0As5sJxPKyuCt/W\nlqLrF18USCaBS5cMWi130p6lNSfjly8LFAoe5ucNXnrJQSKhce4cU+gPDjgxn50NKgmnTrHi0Gzy\nWJlsz9dsbwcp88awVSoSAep1g8PD2MSCWAhug+eFiRDRVjjabf48GlGvEomQyLTbAWlKJtk+dTQI\ncmoqEOtbIjIe8zwHA5KZdpuEI5UKWsc8j/txHL7HdYHVVb4mEuExVirU39jj3NsTSKXYzrW2JtDv\nO0gmae8ciznIZKgzyWb53lbLQTqtEY0Kf8XNhRDA0pIG4CASkQAE8nkJIRR++EPaQL/vfQqlkoNG\nw+D6depXLl7U/t/OoNm0gY7Hvf8tWNELfq5U4Ac+PhxhZ0hOHhz+8i//En//93+PH/zgB1hcXJw8\nPjMzAwDY29vD/Pz85PG9vb3JczMzM34Y3eGxasru7i4+9KEPnbi/J5544gGcxVsPu2L7q3p+wIM9\nR2Y5aZw6pQGwVersWY1aTfmLPw56vbF/D3Fx6hQrxVJqRCIa47GLQkFjZkZjaiqC6Wlnkgl1LyL0\nuznHo+L+YpEVZ+ukOR5rxOMGjYbBYOCh25U4e1agVJJwHIlk0sN//IdCNCpw6ZLA0pJEu+2gVBKT\n4N077RO4P2NheK3+aqDZbN7X7YUk5R2Ok1q0+Lv1XxeTlepbA50Attt4XtCCE6xmGl9APoZSBvW6\nMwmW4sBJYX2xSNeRGzcAwMH8vId4XGFjI4JUyvjaCoFWi6v4p05ptFoCu7sccNNpiu0dh21X/T5b\nxWIxA0Dj5ZcFXnkFcBw1meDPzfEGYYXt7XZQcdjdJUFJJPh4KsWWL1ul6PVIXiIRTvinphQ8T/ph\nlEHuSCJB0mL1LWfOcLu8YZCI5HI24JBfACf96TR1JEoBZ89STxKJsNqyscGfrQtZqcRtAjy+cpmE\nxabTx+OstNg2OLuqVigwPHJnB34GDfUp2SzthOliRl3I9nYMudwYjz/uYX8/ikaDxgV7e9xPqcRK\nlxAC587RepNtWWLiMgPQMMHzFDIZapEWFnhjL5U0Dg8ZfFat8tqi+F6jVuNnOz0tcP48CYzrkrQc\nrWZYhMThlx+f+9zn8A//8A/4wQ9+gAsXLhx77uzZs5iZmcEzzzyDxx9/HAAwGAzwox/9CN/85jcB\nAI8//jgikQieeeYZ/PEf/zEAYHNzE6+++ip+8zd/8+GeTIhfelgTD7bfusjlhnj+eQeJhMEHPjDC\nD34gcHgIPPKIRiYjoBTHxnZbYm7Og+cJ7O9HsbjIcfDwUD4w+16a37DtlWY01JUIIZDLaWQyQL3O\nMVcIavrKZYrpIxEHjz9u8O53O4hGncl9xZKpo/vg3yV0+Qrx4BGSlHcA3mhrin3tSQF51q54d1fj\n6lVaGlYqYkJEpJTIZsdoNiNoNAKdgRDitrIxB08KE2/c0KhWXczPjwEI1Gouzp1TqNUklDKTJPVk\nknqFfN6g2XRhjEYup7G7yyrA9DQn8fv7Bnt7nOw3GsDKisBv/ZZBKgX8j//BybBNj19fD6oVxnDS\nby2FlSL5SCY5sQdIKCIRgakpBdeV6HTs34bbse1b0Sjw6qv8Xi4H+SU2kd7uL5fj/mo1EohymWRn\nbS1oy2JmCPfjeXxvuUwysrRE3cvVq/y9VApavEol7teK43s9EpdolMdqrY/TaRIVa1U8HgODgcT2\n9hR++lNgdtZDPM6/c60mkUh4SKUk9vcdGONhOOT+2CYBP+iRhEepMQAHjz3Gtr9EIgIpBaJRBxcv\nMkRSSn7OuVzgLAPwxmhzB45W7m4NLrNJ8/m8gpTixJT60JXr7YvPfvaz+N73vod//Md/RDabnWhQ\n0uk0kskkhBD4/Oc/j69//eu4dOkSzp8/j6997WtIp9P41Kc+BQDIZrP4sz/7M3zxi19EpVKZWBA/\n9thj+MhHPvJWnl6IXzIE9045WWAbDklQ0mmJYlEhFjOYmwN+67eAzc0IymXPv8cJzM8LNBp0I6Qt\nsZjo6N6Mk+ZrHyt8R0QbBcAQ4kbDRTrt+S26DjzPoNORyGTGWF83aLclzp2j5b+UAqWSxt6eQbUq\nJo5kNqPK7iscQ0M8aIQk5R2COw0mJxGYYHVaTAiKdfS6dVv1OjUkJCfwKwokK8ZQkzIzw6rF4aGc\niN9p5auwswM0mxKAB9c1qNUMlBqj0YDf3sXWolTKw86Oxs2bEtPTCskkyQzF9tqfqGpsbPCGwBUj\nruJ7Hif25TLgOAZXr5Jg0CIycNayVr6uywl2q8UqRjQaCNkjEVYhOh1bEdGQ0kzS4ePD1fagAAAg\nAElEQVRxtoYpxdcMBqyAdDokIM0mSYBSfJ3jcNuJRNC2BQRZKVqTGPV6PJ5yme+1bWdA4Oz1/PPc\nXqkUkKvBgORmcTHQ5Bwc8BzZqsUb0MwMt7GxQZIkBN9XLjPL5ubNBFZXmTxPq2RmnQgh0W6zhYA6\nHloUAy7yeeWHYxpsbSns7gqUyxqlEvuimeWiJ0RlZoYnNBrRmlprg/e/XyGRiBzz6D8Kz9P+Fx93\nHN5Ir17lOVj9ikVopfn2xl//9V9DCDGxDrb4yle+gi9/+csAgC9+8Yvo9/v47Gc/i3q9jieffBLP\nPPMMksnk5PXf/va34bou/uiP/gj9fh8f+chH8L3vfS/UrYS4Z9iFkIODILX9Qx/SyOUMrl1zsbmp\n/Yo/qxiAg3KZoY9bWw6aTYH3vlcjlxNoNAROWPN707ALL64rMT1tUCyyCg1Q1wcAxjCrhR0MDEf2\nPIX9fYVr1wTKZYVC4Xh1xBrX2DmBdV8sFO6cWxUixP1ESFJC3DZRO6pNeT3xcKnEAatctoPb8RE4\nnR4jn7fuIhr7+8xDSaUMbt60lQzbLub4eR4eYjHbDsWBv9sVEEKhUFBIpSQiEemHUxnEYrSs3dqS\ncByN8Ri4fp3H327zOEYjTvpt0GEsxsn/aMTKhw1G7PcxSaTXmpN8zwtshbe3SSis69ZwKNFsCr/d\njO1inQ6JRD4fkJ1ikQSn2+Vx2NT5XI6kZTDg4/F4QJ5se5Z1Vun3gzBHKXn8WgfnRjcZPt5q8Viz\nWR7/9jbJluv/xxsTaFe6Xel76PMmFIlwe/U6SVMuJ1GrOcjlAnIViQD5PD/v3V0GmtlsnNlZjZkZ\nhZUVB/W6h+HQ83U6Atkss0/W1yWM0VBKwHWPr8q5rkQ2q3xrTwexmPFvrsb38efN1/M0XnmFVtL5\nPO09CwWen7253kpu+HtYRXm7Qtsy4evgqaeewlNPPXXH56PRKL7zne/gO9/5zv06tBDvYJCksI0q\nnwdKJQfRqIGUGqdPG5w6ZXD9ukC9rrC0JFEqSRweAsZoCMGcr2rVTFp02YlwfwJo7cKLMQalEu+l\n0agzCXgEcMTOXfv3Ni7m7e4Cr74q0W4rZDLA/r5GLMaFnePHaDWnfMyeQ4gQDxohSQlxIo4K5i1O\nsiGmE2ggBLT5KQDw0ksRCGG1GAbJ5BivvOLCGIWdnTHW1iQyGYH5eQcLC8DSEgf6V16JoNXSOHeO\nJOj6dYHtbY1uV/itQBrDoYNkUqHblTBGodfjivrMDKsfe3ucaDsOKx/Wvndqiu1aVrSuNUnLpUsk\nF9vbgcg9maTIXAgSk91dvr5YJJmQkqJxIYLgxsGAz+/v2+cDcjEeB+1kU1P87nl8jyUf3S7JBFvJ\n+JwxJDWuGwjprZ2x/YwiEZKOZpPVkvl57jeV4nss+UgkqI/p9Rg++cgjBr0eq00HB6zqXLgAvPBC\nkOGyvx9FPM7rYW+PpCgWY3XG81gRKZcNTp3S2NkRuHzZRTwODIceNje1T0olLlzQmJ3FJEvgtRa1\nCwVWRYTgdUWnNQrl7+TLX6vx9dPTAhcvmttaxACcSHZChAgR4iQcbQ3N5w2M4SR9PNaoVikq//CH\nJdJpjf/+3x30egaPP25QKgk4jkShIDAee1hbk+h0uBhUKLDt6362e3Exj/cK25p1vBUWk/OQ0qDR\nEHBd/p5MAtksdSn//u8GQnhYWKDhTakU7CPougi1KCEeHkKSEuI23Go//HrVFIArNXt7xicuwk+8\njfhCbY3VVYlk0sH8vEKrNcbPfw70+xqzswaAi3Zb+pkjCtPTBt0udSaZjIEQLkolhUTCYGPDQafj\nIR730OkwuT4eV2g2OXDG42ai7bB6E5v5MTtLYnB4SDJgU9nta6224+CArVORSFDJGI1YFZEySH2P\nxYDBgCtPSrnQmtubnQ3sh63Inpkh3E8qxdfQCjjIKLEalXabj1k9SbEYuHhpzddls/yuVEAmhsPA\nOjkWAx55hKRrPMakwmCJz3BIwqEUXzse8zHHITGTknbMSgHPPx9FLsfnBwOSt3xe4Nw5iV7PhVIG\n2ayGlB52dphvYy2QtRZIpwUefdSg13OxuiqRy9EQQUrpr8gdd407OGAFpVAwKBRINJTSk97wvb2A\nQF+8CP+9vOkfrcbcicxYsnMUD6IFI0SIEL+8oLMXFzumpwVmZ9lK5XkGP/6xgNbKD3SMIJ+ni6Qx\nBkI4aDbZ8qW1QLXqTjoOhJCo1+WJtv5vVCvHjgbj36vEbduxizznzxvfkETA8xSU4vh79qxEKuVg\nb48hx4eHBrOzyjc60RMDlLA9NsRbgZCkhLgjjDG+SA6TCslRG2ILrQ329+nQlc9rFIvCT42nH3yh\nIDA7S3H50pLB1asSv/gFEI1qxOMCZ89yolqrUdC3tKQghIcXX5RotUhchIhgamqIRMLD/j7L1lIq\nGCOwtgZsbbGK8+53UzjebHLyba14bVCjDUo8c4Y/NxqcwI/HwOXLfC6fB7a2OPGfmyOxqFZZhUgk\nSHrqdVYSlDIYDJxJ8GKthomA3vb+2mT506d5XFZULyXJjuPwWGwS/Po6t28DIFstVkaSST4ejfIY\nT50KxPB0cSF50ZoE6AMfCFrMlpZIMDY3ua+ZGT63scHzt25gjsN9njlDYrSyAozHDoZDDwsL3IdS\nQDwuMBhEsbzMytb6usCVK7SPLpc1ul0XgMTMjEahIBCLCezuCl9Az4wVIVj9UIquN9aaM2gpCFYD\nGw3hV8W0v2LIVU3HCZxypqeP35zvpLe69Rq2dtn25/BGHCJECOuUVasBAAN7g8UPhXYbyGQMcjkP\n9bpALgf/3hdYph8eUrNZKBgUi+JYG2o+H7hi2nYs4I1VVqwWhcd8XEeitcbensZgYNBqsU2a9yjj\n6xsllpY0XNdFo6EhhMbBgUS9rv1WWuO3joXjYoiHj5CkvAPxeis2dnJ31IHE4k4DKR2V9OQ109NA\nPj+GMRSw9/sC2axBoyHhOBG8971j7O8LDIfuRM/ACaxCsykxHgvs7RlsbQEf+ICG1mP8+79LxOMG\nSim8/DItc9Npg1aLE91mk05YlhTEYlwhL5epUel0OLlPpShm39zk5DwWY1Wi1wsshK0wfWeH3+Nx\nPt/p8LU2jyUeNxiNBPr9oGIRj3PbVvORTAa5K7OzfH5nh8TJWgkPBiQnZ86wksIbI8vt1GYElRwb\nEFmvB61pWvM8bNhkrUaiYrU9169zO4VC0E7mOIHupNvl8Xgej3FxkWRvZgaYmuqjUBhhfj7nt9ex\neqS1xpUrwOamQDbrwRiBuTmBxx5z0Ok4yOc1hHAm10c2a3wiJH2HGwMhaN/ZaLANq1LhTfGoM1e5\nHLh2Wc0TScrt1+1J1/KtuN+uOiFChPjVg9VkGMMFNCkxWQjJ5QC2PQGNBu89gJg4XErJ91N3x3Gv\n0SBByOcVrl3juHj+vLVsp1vlmzF2OCn/zBrKXL6skE5bExpWdJiDptFqSQBsWWs0JNbX2RJWqfCc\ncjmEGpQQbxlCkvIOw926G9me1jutPHte0PdqX5fPw6+GGH/QDfQUjYb0XaIkpJT44AcFXnrJRbPJ\nli3AoNHQWFsj8ThzRuD8eYVGgxPwK1eowXj0UYVulxPz4ZBVmoUFg+VlVgWsG1evR0KiNduX+n1W\nSSwhuHIlaNuiYJDfI5EgN8U6dE1Pc3K/vs7JPG843GYyKVAojHF4GJloU2xK/GjE7ebzgZjdtlqN\n/dBhK+an+xnJRanENqaNDZKG6Wluh+4ygV5mb4/vtY5f+XxAhhYWSEIch/tot/nddfn8K6/wWKxb\nGTUgQSXl//wfYDSSuHhRI5HowvMcHBzQKnhzk0J6pTxsbEisrgqcPavhOICUMZRKQLstUK3SzatW\nk8hmNfJ5gWbTRSajcHDAXJSlJYNSSU7MAapVTggKBaBc1hOyEohApV9NsaGgr60tuZsWCtp0jl/3\ndSFChHjngNVZiWJRT1pJtTa+9k1iYYF6u9VVAUAjkdDodg2UcuG6DopFLuTQIVNOKsJWZ3d0rLGE\nyJKbN3PM5bKB52kcHHDxbjxW6HS4yDM3x4Wj+XmDmRkD13XQbhs0Gg7SaYN0mkYqUlKn4nkkNOG4\nGOKtQkhSQrwugpVnTgqrVdr4GsMWq1KJJWZjJMZjNRmIKXYGymU58WdvNll+3tiIIpFQSCYVmk0X\nyaSa5FwwxJHVlHrdQAgDYxwsLXnIZCgMt4GJqRQ1DKdP02qxVjOYneVkvlYLMkiKRZIUgO+1FrXp\nNFu77ALWcMjtViokCZUKCc9wyMpIOk0SVK9zO1IaxONjJBKRSer7cMi/lRXqj8eYaDSsS1gkwtW4\nw0OSgmyW7zk85PvtPl2XxCiTIelJJvm1skLSkssFepLBgNWSTIbbbDT42lgs+BqNgupLt8v95HI8\nz2qVxMsaCqRSDP/q9/m+TkchHgcAgWSSk/902mBxcYyXX+bn/3u/58EYWltubkocHnro9TRyOQdL\nS7wR9/saq6tAr2dQKEi8611iItAkybWthlypLBb1hAwDQKUifEOG27UlR3ESIb9TZlDoTBsiRIhb\nFzWsPbqtoHgew4ft47mcRqMBjMcGtZrC8887mJ5WvqkIq9nNZtC+CpDYXLxoXSWdI+PRGzfyuPW4\nq1WgWvUAGEQiEhcuALmcQS4nsLrKys/UFGMFLlyA39bm4vx57VfYJa5c0djc5PsqFY1o1HmNIwgR\n4sEgJCnvMLzRYMejuJPIWGuNep0T5VKJrV82VX5vT/h9uxrGkMD0ehJKeQBGqFYllALm5gzyea46\n7ewIX2jtoVhkem40ylUe6kO4j8uXHbz6qsbFi+wf5oQ6cPdyHE7crajcmMBlq9cLktm1Dqx8rYOV\nUiQKwyGrE1oHRKPVAqpVF82mi2IRkyDDXA5+YjuJTTLJ/UkZkJti8bj7WLMZZJfYyoclMkpxf1Ly\n5mOF8lYn1OvxNd1uYFdsTBAm6Xk8rnKZx7O/z31ZAjUek3w5DolZOg382q8FjmTdbgSjEYlRtQpc\nuqSQywGbmy6MsZbMDjIZg1RK4Yc/jCCTUZiZYaWFWS3Ms2E7gQQwRiIhJu1g1oWrVDI+YRE+8TWT\nMMhyGYhGnWP917dW+O7mug5XBUOECHErXqvLwAYZXrlCu/tCgdUU2wbmOALdrgSgEY/T8AVwkM2y\nimK3Hyz4nRw0ez+Om/oWjZs3STjOnnXwgQ8YtFouRiMPnY5Guy2RySjUag7yeTPZDjPMeH/e34ff\nZmsmY2uIEA8bIUl5h+FeHUSOkhoAftkbuHDBboeivWKRjk5SckKqtTii6+DKuVIa2SxXwjMZhevX\nNS5f5op6MqlRLvOYWi2uWGUyCsvL/PnVV6ll+OAHFZaXWS7vdjmZP3VKYTDgxNva/VqdiesG1Qrb\nqkXHMU6uy2XuLxLh6+xiVrPJ5/f3SQISCU7it7e5HatbSSSCEEi7T5u7YgMZez0+Nh4HqfXRKNvH\nbFijECQi6TSJhOexErK7y+dTqSC0sdFga1c6HRAvS4SMYQVpaor7sNaT1kb51Cn4vdXAz3/Oc4pE\neA69HvyeZWpq+n2SktEohnJ5gGg0qNbYz2hqCsjlovi93zOIxTxsb0vs7iqfoAkUizyXVEqj2aQT\nmDEaUkpkMnISHnb0urS/W49+hnhS23TpUhDOeKtA9G6rJiFChAhxr2Crl0GzKZHPKz8wl5N9QMIY\ngXR6gO1tiW6XCzalksTcnEK97sLxCxFHx6L7HS5riZAxBo4joDU1frGY61fXeZynTmnk8wabmwIH\nBwa5HLWdbGXjPX1mhu26zaaDel1OrI1DhHiYCEnKOwgnDYj3Qlpuzas4OklkJgX1KBTguWg0In4I\nIe0apbQCwzFu3uQqVDQ69gd3Ws5ubjL3pFo1aLcFZmYMUikDxzGIRoHtbYFul21g1Son1aUSJ+dr\na5yUWytgS0psMOLsLPDyy/zdcTiZt5kntRof1zogF1ZULgQfa7UCsfrMDCfx1qK41eLkXspAhC4l\nt93p8H2RSGAd3GySRBjD92azPCbXDdzD4nGSgtGI3wGSi26X27SamoMDbuvMGT5u9UCpFLc5N0eh\nfr8ftHMZQ8KyscHHpqb43lgs0NxY++REYoDp6TG05nG9+CK3/Wu/pjA15SKXEzh71uCf/9nF2prB\nI4+MMTsr0OlE4DhAMqmxvu6g1TI4e9b4Inrg3DkccfQ6Hjx2cBAEh0lpfH3Tvd8gw5tqiBAh7gav\nt6jhuhLnzytUq3oigpfSQ6vloFgUOHdujI2NCA4OaO7S67lwXa4SdTpsRz5/3kzavB7EcVsxf7Fo\nA3ElHEdObIo9j90MWrOzYTj0Jk5fo5FGr0ftYamk0Wg4yOV4buE4GuKtQkhS3mEwJhjM7mYV52ia\nrX1rqRQ4LFkR4OGhgFIaxgCdDh2gWi3auk5P01Wk0eCkeHMTkFIhmQQGA7YJPfoo7Rg7HYNGwwrM\nqUsQgvkn/T5Qqxm4rsH+Pl9TKsHP1eAE31rw7uwE2SbsvyVxSaf5ettadXgI3zuez1lNiRCcvMfj\nJCS2FSwW4/Y8j9vY22NLlrUA1pq/9/vcpuNwe8lkkPbeavH1VodxVABv0+PT6SArZTDg8/F4kBrv\nupgI9f8/e2/yI0mWVoufe83Mw8PnKTwiMiKnyKEmuot6TTXQ4untkNjAAsEOCcSGXiAhFvwFiA0S\nQkjQbFmyfhJC8BYIAa/1mq6uqq4p54wpI8LneTS797c49vmNzMqsqqyuzvpVlX1SKMPdbbjmaXHt\nO/f7zjlyrtGI/Boh6kvrmVSFrOXniwX/D156iZ8LN0WAnbSGzWYERcPhDMultxrvYMBtCwUgDDUG\nA41m06yMEtfXFU5PA1hLsrzWGuJGT4CrAERotVQsb21itRl3vxFAsnWh29Uoly1u3LCrh/vTEopq\n1cSvE5PGJJJI4vnj0wQ26nUqcbVaNp7HFUolEsx7PY1czuCNN5YIQypkARaHhxqXLoUolTz0+3wI\nfNHV3vP7VqsGzaaGUipW6OLCj9aUQI4iDWMMjo9ZDR8OLUYjg8mE7WqiwgkApZKHel39zIT+JJL4\nvJGAlG9YPK9pnVRPJNibG63UTioVs6peVCqIJ0KNUsmg0Vii1wtQLlsEgQfft9jaWsY+GQovvxzi\n9m0f/b5Ft2sxmWgsFsuY4O5jayvEeAycnSmkUsDxscJ4bPH66649aWvL8TlyOSbQ8zkrAJOJAxZh\nyO3KZawI7r7P170er204ZPVDTBIrFayqBwABULnseB5RRKAhvijr6zyX7/NY1SoTfaWcp0kYMrnn\ndTlJ4Y0NHqfdJhDRWtTD3JiU4uflMo8lLV4iezwYOGI89e85ntNTxIIFPFalQtBSrfKcZ2cEj/ST\nUajXLV55BfjJT3jM5dJDFBH4NZsa168bbG4C02kK2WyEXA4IAh+/8AshogjY2/NwcKBi5TYq5Gxv\nEzwUiwbWRnjwQKPfB7Q28DwPlYojx3OM9F9pt+lFU6sppFKPg48n2yYSaeEkkkji5x2+T+d4aaeq\nVPg87PW4+NbvexiNfFy7FqLR0Dg+VsjnZRErhOdpGOOI+V9kPNk2WyxGuHOHMu/0H/OglFpJwkeR\nLChaTCYW9brCcsl5Pp8nH+W8aEkSSbzoSEDKNyyeJAM+axVHNNalv1UM8xaLCHfusKJx5YqJjRUB\ngGZVm5sam5skUh8dLdHvBxgMmIRaa5FKebh4McJopDGfp7G7u8RgABwe0mvj7MzH1tYCL79sEAQB\nej32ytbrEeZz9gP7vsK1a1z9GQycIla3y+Q/m3WyvFHEtqI7d+gVUi47X5FWi9ttbhKoiPGjENPF\ndDEM+Z08esTKRq3mWq6Eg5JOE1wADhD0egQ2SpHbksu58VUqfM9anj8ICBbYQ8xjC1CpVDgGMZSU\nasdySZBWLvM4vu+4N5kMx9RocF/hvqytEZykUgQm5/kr+TzBwbvvUqJYtt/aimIODislkwl9b4AF\nzs50LPdsUCrp2NNF49Ilg35fxSR3vSKe3r2r0WqxJVApGjoulxFaLQ3PY3tXtSrft8WDB5SZlvvv\n5xGujfHx9572d5FEEkl8M+P883BzU69I6nfvanQ6Eaw1cRcBsLERYWPDi+XiDSoVD40GuwSqVQNr\n+RwTeWPgZ19ccZ0RasXnIxiyaLeBSkXjxg3aAzQaCrlcBAAoFBQODjwoBVy/rrCxwdZr39erZ34q\n5SVzYRJfSiQg5RsUT5Lgn9Rql8TsfIsXV1I0ALviCnQ6LGOLUWOnE2G5tLDWx+YmVsRmaq0vV54h\n7bYkgl7MNwCs9ZDLcRzXrkUwZoGf/hR4+JD9uzs7FltbIbpdckq2t4G9PY3jYw/APJaEdG1RUcTk\n2vN4vmyWYER4F57ngICQ6gcDJvWA46U0m4+bPwrQWCycdPF0ynNWqx9vvRKOyWDA97V2fiiiFra2\nxqpKNkvAUa/zeO0227CyWZ5zOuU+AjykspLJOFUvkRXe2uI5pSpEfXw61otbfLWK+P/RcXrW1nid\nkwkrL0KyF4GAfD7C7i7HZS2wWBicnvJarY3QaChMpxb371sEgcH2tkYQ6Fh2k/wlY9gS2O8r5HI8\nb69HfpHWBDqtlqzyRXjwQKHXs7h+3T61h/tJIEH+ysdX/T4JcMi93usFK6+UL5rMmkQSSXy14pPm\nDL5n0e1qhKFBs2nQ79NtPpdTyGQizOceRiP6lAAEBOOxj+FQo1Jx7dKfV6Hws4y/1eI5WL3Wq46I\nTge4fXuJ01M+x9bXDYZDPrN830O/r5FKccGq0bC4e1djby/C1pb+whTJkkjis0YCUr5BcV5G8GkE\nekq9EoC020xGKxWu/LRaCq0Wk9xCgVyUINAolyk7PJmoFd8lDA3C0MQE9iXKZYuTEwsgQrHIKovn\n6dgXxMelS0tobeH7PowxmM8tPC9Cr2ewXCocHBgcHgK5nIe9PYMwDJHLGXz4oV1xOzod8S1hwj0Y\nIDYXZHJeKDA5FwL5+rpzlxdyutYED6WSa40KQwIFz3PAJIroyH56ipVii/A08nmORZS6AKegJa1W\n/b4zfZxMWM2R9rHlkvuGIT/XmmMRmeFul2BC5IO1JpgBHACiJLC7/lqN752eupaxXs9JFY/HHL/w\nU8pljrNQoJ/M6WkBlcoC87mKeTsGzSYwmXh47bUI1iocHGiMRhHOzoByWWE00qhW+aATjojWGlev\nhgjDCMOhj60tAtV+nyt31Sq/O2t5T1arHItUVp68l+UeltVIa8mX+nmq5ySRRBJf73jWnPEkQT2K\nIjQadJQvlRRKJXI9ej0vdnE3mE5DPHigMBxqvPkmYl8xzofNJoGOLK7wvY+f99PGKouN582XT064\nYAQYFAoKtRrJ8o2GQqOxxN27bO8yhs++bpdV8iiKMBw688YwNPFzR8U8zmQOTeLFRgJSvmbxrJUY\nYyzOzvjZxgZwfvXmyVBKoVw2sTKWFxMAmdCWSmzZop46YIw+1+6FWEveYn8faLXyUApYWwvRblvc\nv69w4wawt4dYzYkr650Ox1soGEwmPi5cmGNtTRzYDT76iOe+dCnC0RHbti5ejLC/z4S/WHQJfjot\nxHzgF38RK98WkR0uFJzrexgyaS8WXfUiCFyibwy3FTAwGDji/LvvOn6PtY4PI7LE4iSfSrkWsrU1\ngpzxmBUhaVHr9RzAUooAQc4jVSLPw0oCWCogolw2HLqqTRCwAgLwXJ7H4zQabqydDsegFKs3oig2\nm3Gsly7xmLdvc5/JJIjb3AzqdYXRiOO9ciWC1nwADwYkW66vG2xv01wzvpsAIL6fLG7d0vjoIyCX\ni2AMyfiVSoR02ocxFsulc5l/+WUbc4J0fN9+/AEpD2lrsQLWzyOVKQ/2Umm5avdKpIuTSCKJp8X5\n5P3szGJ/X6FSsbhyxaJSUbh3z4fWwOuvh3GVWGGxoFx+Pm+wvs62qVaL8z4XcR6XYf+sYQwrHWzl\nsnGbtYrFRgDAoNMxmE5ZSRmNAmSzEXo9IJNRuHKFwiaTCeD7EcJQYzxmpadYtHFFReH6dQOt+cxP\nIokXHQlI+RrFJ60aU+NdPsOqZ9WtcktipuJSsYbncTvf16jVTNy371Se5PgkkyuEId3oez3AmAij\nkYdeL0ClEiGb1chkNEolVmEePtRotSKEYYizM4VsFoiiCNksV977fYt795yU7/Y28J3vAP/n/zDh\nLhaZzEsrlbV8bzRigi0tZs2mS94luZc2KXFmD0PHU5Ekfn2d21CRCrGULo+5WDijRa1nmEzSK9PG\nwYBgIpvlccRQkapn4iND4JBOE1DM504C2fcfB1zi+QJwnHJd2SyBxWTi2tEEiKVSj1dkpNVNTCqN\n4XEFiIm5pO8rzGZ21WrWavF7WCzoCTCfK3gexyP8FGN0fO0Gvq+wvo7Yld5iNFKxlLBBp0OiprUG\n6+shwlCh2TR48MCDUhrf/W6Eblfh/n0C4c1N3nfPenCz0sL2w25Xx5ynj7d6Pa3F8fxn8u+Tz98E\nnCSRxDczPusiBdt+Oe88eEBJ4mqVCX6tphEECv1+ACBEuWzx4IEHwKBaZRdCpWJjI8VnKxY+bwhv\nRmvg8mWLVsviwQOF2Uzh8mUaImutsbPDeb7dJj8lm+WC0HCoVpLDMi+KuiIrPkm7VxIvNhKQ8g0J\nJnWPmzICn1xWFj8U2d9t5ySHl0tyDDzP4uFDFbdFscQchgtMpx7CUOHNNxWCQCGV8mMQFKHTMRgO\n2QZWKgHvvqtwdgZsbVlcuECwMxggnjwRu/2SdwEwCRclrPOEeGmdevSIr0VSGHBSu82mI8QLmd33\n2Q4GEAw8fMjjb28zYc/lmKAL74S+KBrzOVfFNjYIFERFLJfj/q2WkyEWsDCfO1lhAS4yTt/nmHK5\n+NuOKzVi3CjmkOXy4z4w9TrfPzkhgNvaci1i6+sEZScn3FYqL6kUtzFG43/9Lw7yhZEAACAASURB\nVIN//3fggw+A69d53aenUh0yyOUsplMv5rlYWEsPm8nEi71jqHJz/75GowHs7kYolXiftFoKk0kE\na8OV3HAURYgiFavkECATbD3ucPwsrsl5cEGCvnv/ye3O86zob6BWK49JJJFEEufjs8wLnqdQqSjk\ncgZHR8DBAfkooxFwcOBhb0/hzTeBszMvruibuK3Kw0svUbnw7l0qZNbrakVUf54x1mp2RXIHHM+0\nWgWKRQ+1msJsxsr2tWvAw4deDKQi3L0LtNsR1tcBpXykUgqlEq/J9z1sbAD5fIgf/1ij11PY3Exc\n55N48ZGAlK9RfNJKDDXen73vs/xQnqy0SPIYhhEajQiDgUalAly9aqG1B2MsikWN0chDobBENpvC\ndMoqzsWL3qocTQ5KiOHQrvTZz84UJhOL0cji9JSr46JQJa1OnueqA0o5YvjVq85D5P59ApQgAG7c\noHrWw4dM9AsFJvvCL6nVXOVic9OZNa6tsTLT7xMUiMeItJaJF4vnpVbcjkePWJ2QCoWofPm+kzUW\nzocxzrtFgI3wS5pN5xAvVRa5bpFVDkO+Vyoh5hLx/0zklAGn+pXNsgUuopjL6ntSikaPlQrgeQZ3\n7jgujnBsyHMxWCz8WLwgwoUL4ueiYm8ag8NDjfEYKBZtzLtRq7bBn/xEo99f4v599mvX6xZraxaP\nHnm4dMmgUgGGwxSqVfY/93o0+qzVzOqerNXsxx7in2flkaajvPZq1Tx3YpBEEkl880LaSh//XWEw\noIQvYAAodLtAo2GRzy9hjA/fJ4EeWGKxsFDKW/H0ul2K0NB8Vz23o7sI2QAEOh9fePRx86bB9eus\n3nQ67HAolxWiCLh1y6DRoMHum28ukcul4Pse6nW9WtgxxkOlwvMl82QSX0YkIOVrFp9mRiXxZHL3\npB/Ks9pPWy1gsQhxdmZwfEzifLmskE77ePllgI63lC0cDJawliDj7bcNomgB31c4OQlxesoKjLUK\nm5sKFy+S+LxcGvg+8NZbCsMhk+71dSba4hGyv08wcfMmk+nJxAEIcX3P55mIt1p8nckwqe/1XLtU\nLkdwICR3IWmLB4tUMrR27vDSviWtYtI6JdUQAQ+jEY8bBO67m0z4by7Hn+WSFaJcjucXv5V02gEE\nY9y46VTsFLwaDcehqdWwqujkcryGn/6UYyoUeIzxmMBIlLyKReepMp1Skvj0lJ9duMCxZbNAOr1A\nq5XGfM7vOZ8Hslm18nWhe3yIRsPHpUsK168D77zjwVoFa6PY8EwhDDV838Obb4YYDn08eqTR7xto\nrZFO2xWQlvY9ti4A7TbByuamfP44UPmsfxcE2So+vmuLON8OlkQSSSRxPoT70WpZLJdRzCXRsRol\nsL/vIYoi7OyQj9fv89nWakUoFg06HY1eD4gijXJZYWODz8hy2cZGwM/vQyKLiu02567FgufUWj8m\n107RES403rlDTuerr1oUi4jnXIuTE+D//l+FixcjXL+uAOhV25gxwI0bXMxJlL2S+DIiASnfwHiS\nXP+kHwrA1flmk27g50vJx8chjo64apTJmFjNyoPnMYkUgHLrlsWHH+ZhDCsyw6HFu+8aTCYWBwfk\nKaytKbzyClCpGOzvBxgMIozHCltbwLe/HeGdd5h4i1rVcEiAIU7vH3zAxD+dxgrQyLbVKredTJwi\nVqHA7dptAoSbN3kcaQ/74Q+ZrEu1pdFgQp7LcZvFAivp3OHQEec3N50ny3CI+Lt1pomDAV9Lu1i7\n7aSQFwu+VyoRjImZo+fx+48iR+yXqkur5SorSj2u/lUsEoRMJq71bTzmdyMO9GICOZ8TpO3vu1Yx\nqbCkUuL7orBYGBQKC2xvp/HwoYa1Fm+8YTGfa7RaCp2ORSajUCwaeF6AdNrDtWtcJTw8DHDxYoQg\n8HH9OlsBM5l1AMDNm0vcu6fheRqFQoRm0wNbvmzcOy0rhJQqrtcdZ+r8/ftZQ1rG6nWuXsrKYxJJ\nJJHEp4W1Fr2exaNHNKElVxOIohD7+wrHxxrWRpjPFaZTgw8+4NwYRRGM8XH1KpW9tFZoNm28QOIq\nuZ9nPiuX2XZLcRH7mJpiGBrcucPn+pUrUbygxsXIIFAolXxkMiEWC86x771nMR5H8H0qbRL4aCil\nUa8nc2USX04kIOVrEGHIXp8nVzqelsw9i1x/fltj6InS67FlR2QHw5DOtKORxquvsoIyHFL1g/vw\nGEdHIR4+NDg8TKNSWeKXf9nggw80RiMSp4NAraoH/b7CwYFCOr2M91Xo9y329ljZENf15ZK/DwYE\nETdvOqf5cpnb3LrlKiXpNDkVyyW3LxT4fhTxvJkMjxcETiq430fcn8tEf2eH77VaDvwIf0Vr/iyX\nHNN0yqS/UOC5x2PEZHPHKRE+iVRjtra4jZzb9zmeyYSvUynEK21uzMMhwcfGBs+pteOdZLPcdjBw\nfJjx2EkR+76rqPT7HOtyyR+leC5pSWs2pRXO4uBAYzj0MR4De3tUW3v7beDqVYMg4DUMh+SH9HoG\nzaa3ArvdLu9Lz+PDcjDwMJ2SHzWZBAgCi1KJSjKdDknznufu13pdrzgqIkX8s0oKn5frfPLvI4kk\nkkjifEiFt1JRKJfZmlwqyac0P1TKxi27GpmMQTptoDVwehogm7W4fNngxg0P6bTG2RlFYSoVrObJ\nzzOmapWLhQDbbq39uOktK8YW+bzC1at2tZhmLVCt+lhfV9A6wvGxxWDAZ8dbbwGlUhS3KrPV9pPU\nQJNI4ucZCUj5igclf/n7Sy89XvV4nmRO2rucuR1grUEUKRjDY7I9xsOrrxq89JKH4dDH2hpJeN2u\nwkcf0T384ID7Xro0gzFAp6PjUjTVoLJZhV/8xQjdLtBsKozHTKgvXGBJXUwT220m7Ovr5H+QR+AS\n+GyWiXa/7yoF4rzu+3wt0r6LhZgS8vfZjD8iM1wusyKSyTglLvIu+J5IFSvl/FWkIiFmiqUStz3P\nCwF4zvPVEwEjIlksqmIAj7FY8JqDgPsMh6KyxW2qVZ6jUHAKZNICdt6wcjQiWPE8VkpEQnl9HfFq\nILfL5XjMRoP75PO81uNjxH44PEYu52SdBSx1uwKALIZDqrI1GhHCkF4porrF/mluc/26PFx53mpV\nrfwCajVRlwPabbYubG4CrRblPCn+IP3SPxvASMBJEkkk8VlCa4VUykO9Lsa0fFb1egqVisZLL5nY\n40mj2w1x966Hl16yuHDBYDbzMBwC9+9TVl0qIJWKM11USj3Xoot0PwAEOsI3Pb+/72tcvx4iDNkK\nduWKRRB4ODkBgsBgdzdCKqXQaPi4cMHiF36BrWmjkUY+Ty8rtqe5xcsnv5Mkkvh5RwJSvkLxaW0u\n542dnrXfs1aQRQPdGHPO/8Oi1aJiV6VC/4rr14GNDQ++r5FK2Xiy1Oh0qNhlLbez1sfW1gyDQYA7\ndzS0NtjcpAGg5xncu+dhMAD29iJsbio8eqQxHhukUjz5cumAxWLhDBGDwDnC12pMpsdjJxu8WDgP\nkXab29dqBCxCirfWGTd6HpN88UIRJax02rVVZbPOiyST4THF70TGuLvrjCGlEiMSwMslj5nJEFCt\nrREUHR+79qvjYx5nOnW8mtmM4xFeynjsuDDiwSLmk5UKt5dtJhMnrSzSyN0uuSZXrnA7ca+X8wYB\nQcjmJt87OdEIAip7dbsG4zHw9tsednYsJhODRoPnFMPIjQ0Ty0ArDAYq5qLY+HsXwrpBqaSgtY8o\nchVAJ4mt0GxyrAJIzqt4iUodQczzPdiTSCKJJD5PnE/QKxUbe6CIWiDnq1bLIpNZ4uTE4uxMxXOt\ngu9b3L+v0e0ahKHC5qb/WFt1p+Pmus8bz5oDteZcLFzFq1cNWi2qjEmLWL9PeXjf19jYICjp9Txc\nvWqwve0jlfJWi5fG2FiWP5l7k3gxkYCUr0g8qzLi+1zFoWrR46Z3osb1pOrH01ZENjbY4iXclFLJ\notPRK3nYTkcBsCiXDQAd8yUsooh9q+Uy91XKw7e+FaLf93B6CozHHsLQolo1KJU8vPSSxsmJwa1b\nEeZz4OxM4dIliyCgrwYNBqkGFkVM5qUisFiQ2J1OEwj0+5zks1lK5g6HBBatFqsVlQr3aTScK7vW\nrDqIOpe0aIkfi/BVpNVKgIBwXNptJv7itWKtUxuTNi5pgWLPMd9bLBCbVnKfhw85Pmt5Ddvb/H02\n47GPjlxVSIAS/UkIQDIZAh9pO5jNeDyppIShAyuHhxyHeKu8845rIev1OO7BAHjlFeDCBQVjPIzH\nwNWrEdbW2JqQThsoxf0vXGBLVqcDlMsWmQzBj+d56HZ1zCcxqNeXmM18dLsBikWDfJ5yxVx9jNDr\nyf1q0O3quKWLRPpKxaJWcw/fJ4H1s4QdPi9fJYkkkkjiaSHP3iiKVmpatRriNmd2M9y7Z3BwEKJY\njAAobG8bGKNxeOjFfMMQJycad+5ovPKKWSX+AJ+1tdrzkeeftdj4pAO91hQtMcbg/n2gUDAYDoHB\nwOLKFZo8FgoRhkOD99/X2N3l8/jgwEO/T7+q82pmSSTxoiMBKV+DeJbp3dMmvTA0+PBDG8u6Knie\nXk12nY6KeQFAEHjY3HSOuK0WpRVv31axCVWERoMTnqiUVCoENMOhj8HAYjgMMBp5KJUMWi2N6dTD\nxobBeKzw4IGoY3Hy832NIIgQhnTnbbeZOC+XrFKQ7+AqFdmsqyisrRGISPVAkvt+n9ccBPzc91kl\nWC55fGOY7OfzXAnzPB5Lqi3ptDNUFE8VaSErlx1AyucJjASwjEYEDJMJQVW16lqrBEhIq5m0fCnF\nMS6XfC3keaUIRkYjvgYcaKlUeG0Eg45zI8entK8j6BcK3F48YoQcXygQBPZ6Kv4/iZDJkNi5vw+0\nWqnVucvlCEr5yOcpa0mujcF06qNU8lAqWaythbh71+L+fbYY0ERMxwaYNv6u2PIgXKfZzGA0ot9K\nrfZxaeAnf2c/tjMjlQfpZ/H/SSKJJJJ4niC3Qyq8arWAQgCjEIYRmk2Lw0MP3/0uzYsnk2C1iDSd\nUqL94UMKyWxv85nLBZ3PN6andUycnXGBr1Ix2Njgc/XVV4HJJMK//ZvGcGihlMV47MWAinNmuw2M\nRmzNrdc1Ll9mtYgLfjRgFr+qZ50/iSR+HpGAlK9IfBrR92mfC3A57y4fhmbV9lQoRLFELmdJmYjO\nr+pIElipRJhOSaYntyPCnTsag4HCtWsGvZ7GchmhXBZugsJo5KFeX+DmTR+Hh0x+Wy2NXC5ENsuE\nn/4eCru7Ifb3CSSMYTJdrbqKh1RVajUHXtbXnWeIKH+l09xXVLSCgNtNpzx2o+EkeOWYjQb3Lxb5\nMxi4SkWzye3picLe3zDka/EUGY/5sJHKSqlE4CJjEpCTy3E83a5T4BJRgG6XFY21NQISqd4IkBBT\ny0KBxwoC52A/nfIYQeD+Taf5e7nM80ynvJ4w5DUul843pVgUzorF2RmvwfNc1Wh3d4F221+plAVB\nBGt9ZLP0Tbl/P0AuB3z720s8eKAxGBAwTCZENnt7JhZYsJjPDQ4O6Jdz8ybbC//f/6MqzsWLC3Q6\nAcSk7Gn3siQG58EI4LxiqAyWPDyTSCKJLyZEZVDmU5FBl6qKtRbFosLeHltdCwUNrek3cuWKSAN7\ncRcCFwbPB7sU8Nw+Kc8KAVRyTN/XyGQCXL4cwRiFfJ5qm/2+h16PC5ZaK6yvU7FTaw+vvKJXXJnz\n30MCTJJ40ZGAlK9QfNoE4QyYXOIm5oxKuRXq69cjGGNiIrxdTWRM+D4+EUm712BAR90w1Lh3j1Kx\nV67QofbOHYuPPtLY2THY3TXY2rIIghlKpSVu3vSQz0d4+22FR4+A9XUPtRpNppTSGA6Bu3eBW7e4\n/8YGk/LZjMm0VEwqFTrnvv8+xzUecxvhe4hniXiQeB4TfaUcgXw0YqIv1Rchfm9sEBiISaS4sS+X\nBDfCBRHAozUfVuImf/Wq45Ck03xPFLbOE/TFOHKx4BjEcV6I+Z7nuDKzGatB1SorQCJJnMsReHie\n48ksFo6DIkR/EQfwPCdAIByXS5e4T7/vFM56Pacc9ugRv99SCdjcnKJQ8DCfFzEaKWSzFltbgO97\nSKUU1te537vvanz0kcVspnDlCvDyyyGCIMDDhx4AIqJeT0Mpi2w2gtacfqw1sRCAgtYUa2i12DZ2\nHoQAn+xpQkKqAWAhwDuJJJJI4mcJWRSRuVh4c60WJX/D0GAy8XHpkkahsMCHH3Kh5saNJe7d89Dr\n0e29XueiDVuL+Yyt1Syi6ItppdJaYXOTi5J8trt8wBi2z7ZaCv2+EOM1BgONQoEtvFtbEU5PA8xm\nCr/6q8DWlj7XPuYWLJNI4kVGAlK+RnGet3KeiGctQYa1TPKU4uQjEsPPkiqW94wh94RVFI1MJsLJ\niYdikY7uqZSHcjnE1lYYq3kp3L6tMBhkkU5HWCwsMhmLxcKD77P1h61CCpubEW7fBh488FAqRRgO\nmTSL/PDpqVPy6nScmWGv5/xHRP1KlL6kSiASu9WqMzqsVLjPo0eICYBM0Le2yAMZj5nkp1KOQ+L7\nrjoissLSImata/0S4CIAS7gpQUDOibRkCdlf2toqFZ6j0+GxxbxyPncywqKw1evxfL7vODCi2PXB\nB87JPpXidyGmjeITI1LOAqayWe5L2WMSKIOA+4jPy4cfZlEsGly5YuNWOI3Llw3SaQ/dro+dnSWU\nsphONdbXTcxpohrOaKTQblOOs1RS8fdlMRx6sQ8PpTHbbQvf9x5TOjt/H55/iD+taij8q2ZTrYio\nTxo/fta/oSf/FpJIIokkWFVw/AwWGfgcDUODQiHCwYHGvXvkmtTrFtMpOwr29gzabS9WKHRVE63V\nqpX2iwhRIRMuSbNJFTICIYNm0+DkxMLzgO3tJba2FCYTH0dH3H82I0dG5lsS+zlmsSJIIokXGQlI\n+QrGZ0mkmMgBlGuV3ldOspwYNfb2DDxPPdVf5exMWsUMOh1OwpcuRej3PQBcfalWNbQGmk2Ldtug\n04kwm/m4cYMVksnEQzod4fDQYnMTeOmlCEqRt7C/H+K99wz++7+BYlHhV34lwukp8OGHTMqHQybO\nhQIT/rU1ju3wkL+HIVbXJRWVixf5utNhAn7pEsFIu+0qG6ITX6vxOMsl9+92XfuUeKLM5/x8NuMx\nRLVLqhxiNLlYOG7MaOQMEaWCYwzBxXAo7VKOqB8E3K/Z5LE8z7WwieP8cslzVSqs3MxmBCFB4Kol\nIkPpeQRQ0l5WLjs/l8nEVZKkrW57mxWldhvY3SUf6PRU4+pV4MoVi+NjjcNDx5XJZunS/v77HnZ3\nLbQOcXqqEUXAhQsGu7vA8bHGfA4cHfkolQxyORqM7e0J6HV8IeEweZ7B1asGo5EPpVxFpN3W8X3o\nHupPu/fd68/vHi8iBsDn47QkACeJJL5+4SoU7D4g0DBQiot2y+USvV6EKIpwdKSxtmZjEOLHHl0W\nxqhYshix9LA7vlPW/OLmD9cWS1Nd2gkYAFHcImzx1lsaV65Y7Ows0Wh4mE41Xn89wne+450j9ieR\nxJcbCUj5isUn+Z88i7fCSdbxUqpVE0sLe48pKJ0/B9W1SGju9YD9fQtrueqttYdr12jy1G5rtNsG\nBwcWBwc+NjYstrYoOTybLbC9PcNsBgyHXixjzOMeHhJw0CDQYjgE3nlHYzo1q9Yq32dinUox4W63\nKdW7uemqFMKvCENWBBoN99lPfkIAEATOUFFauopFJ2U8GPDBIdLF0yn329wkcZyKVgQanY4DAecr\nLpkMgZFUWlIpxwGh0ZYj1lvr1MF6PY4/neZ70qYm8sDiQF+tuvar6dR5xYgi2HJJkFIoAPfu8fXW\nFrfpdnmNpZIDKCKxLO1tsxmBm3wHr7+ukE57ODuzyOUM1tcjDIcK6bSF7wPjsUKvZ1fgUVbePE+h\nWKSTslIUUxgM+MCzlsZjwmuqVtlmWCqZuJ3Qi7kodtWnLTLF59sQn/Uwl2RC/i5eJFh4Xl+iJJJI\n4qsTWqtYoIZKmr6vUa8Dk0mIXs/g8JDqh+WyxfXrdHMfjTSyWYNajd0GQIRi0aBQUGi1fIhDfLXK\nueKLEv0Qc2cKjAC5nEWnQ1Neay22tgyyWYu7dxVmMx9BYHDjhsXJiYLn+fB9clc5n6ovZT5NIgmJ\nBKR8zeKT9NLP/+58J5wyknwmvf3NpsX+vkI+zzauycSL28jYo9rtMuEsFCx2dhSyWXpgKKVxfExV\nqAsXZrh6VWOxiDAea/R6wNqaRb3u/FjKZVY8MhmzSsC3tpisHxwgTopdRWA6dcpWyyUBhTHktYgq\nl0j9Crl9sSAgEb7K0ZHjsgQBk/NsFnElgcfwfSb5AnTk+9LaVXbGYyd3rJQjcKdSBCQyblHQApxS\nmVRDBLQ0m066uNMhMBIZ4aMjHq9Wo9pZu43YlMt5pHS7DhSFIb9H4beIYWO77VrGNjZ4bmntErWx\n+dzg/ff5sJvPLeZzjVbLR71OYLG25uH69RCplI/h0Mcbb4SIogh37yqcnrLdKwyBzU0F3/dRLlt0\nuwrDoUapZOP7T61UbTY25LuzCEMmAN0uleWsZTsFRQuezU85X2H5vA9TcmA++e8oiSSS+GaFPBsp\n8895sVwmv/PBA43x2GJtjYIdXKDxUSwqTKcWJydcsLt2bY5+P0Cvx8WpVIpAotlkx0Ot9rOPD+DY\n7tzh3HXtWoRyGWi3KVSysxPi8BDxMzvAr/6qqEj6uHEjwsOHGkpJxceiWsVjDvZP82BLIomfdyQg\n5SsWn6by9bzHAICzM3ICrLWxegllhqOIia7naVy5QuWkclnhwQOFTseiWLSoViN4nobnkYcQBD6M\nCTEa2ZiHsESxCPR6PoIgwny+wJ07GtvbTML7fad+tb7ORHo65U8UsWrxrW8BP/7x40aFYmJIyVwH\nGjIZrBzsd3d5DJENFlAipothyOOXSs4QUioZxSKB03LJikoUOUAj/Jf5HCtFMmkzm80cAV7I9/P5\n4yT1UolgIZcDLl/mZ0dHjkcjbWyDgXOmF9+T2Qw4O+M22ayTW9batYoJaBsM+F1tbACvvkrANxo5\nwCXHm8/5f7G2xjEOhwpRZGMAo1EqLeF5HjIZDc8jAX4y8ZFKqVhr38PBgcZwGGI45Bg++ohVrytX\nImxsELhWKhb1usbWlrsPCTg0SqUQd+4AvZ7FtWsGlYoXgyr9iZ4oX7Tk8BfxN5U8yJNI4usR5yuk\n5bLFcsmugX5fxWpZiDmW/Nu31lu1b4WhRRSF+NGPNA4OLC5eXCKK/JgHGcFaLtyQL6KxseEk+Z9n\nfGdnfHaz/UwMJg0++ohAqFBgB0W5zIoP51Sec3MTuHXLoFhUqNWcJ1qvBxSLBs2mWql/JQaOSXwZ\n8aWAlL/7u7/DX/7lX+L09BSvvfYa/vqv/xq/9mu/9mUM5SsZzztJnC//Sjy5KkLZQvawtloRlFIo\nFJhwK6VRq1GZqdcTtRCaW0URW3gODhQADzs7YgjJc370UR6zmUWhYLFYLHB8zNWorS0Pr78e4e5d\noNPRSKUMWi1HXAeYvCvF9qV6nYAim2UFYTzm6lMUOWK5tHmFoeOETCaOvC48E2NYSchkmMiL0SJA\nkJTJcGLv9ZyU8HJJUDEY8LW0jG1vOxJ/FPE9AUHpNBN/8UkRdS4BMkFAwAE48CMAyfMIXLJZR4Bf\nW3N+LCJHvFg42eHplJ+JapiAsyBw30M+z/EIeBsOHV9HvFdyOYtcjt9DpWJxfByhVlugXmdLXypF\nrf3h0IurILwHLl5UKBapApfPU9J4MEBcNeFD8cl7MIps/DnV4no9hSjCSj1sc9N+rN3AAezne5g/\n+TfwRUfy8E4iia9vaK1QrzvvqW5XIZ9fIpdTKBQ8ZDIGw6GGtUC7bTAYsCPh5AR4+NDH7i55d72e\nijsULLQ26HR0rDD52Rddzld3Oh0RcLEr9c6TE4P//E9gPLbY26PB5His0GxqrK9zAfHkBACWuHXL\nRz6v8L3vUaUMoNFjtQo8eKARRQa1moX3RTL8k0jiM8YLByn/+I//iD/5kz/BD37wA/zar/0a/vZv\n/xa/8Ru/gQ8++AAXL1580cP52kcYGty6hViCkAlhFDEZpAIS+06rVYWTE4tOx2B/nxyR116j6Z7n\nsbIipPtajS1g772ncXSk8O1vRysjv0JBod22yGaZCJ+cpFEszpFOW/zwhzp2uo2wvc3JPoqA9XWD\nbJYJ9WLhuBvCNQEcQGk02I5VqZBkn8uxUtBquVYpYxyRXSoOWrvKhJhBDgbcbmPDEeCl8iEtUQJK\nZL9ikZ+z4kDwJKaJ0nYlssjWOk8Xess41S1pWZtMeH07O3xPvF2mU46pXOb5wtApf8lni4Xzc4ki\nfj6fu9YyaXm7cIFVIamUnJ46oCNiAMLPKRSwMi375V+mnPDpaRpaz7BceiBfRCOTscjnzaqda7mk\ne7HnsaWrWLR49EjDWoUwtEilnCQmQSwBSqdjY64SSZzk4HgfI8g/2Y4oIapenwRYEr5IEkkk8Xni\n8a4Dtq9euxYik1ni/n2F99+nUmY+bzEaeSiXI8znbPPyvAjGaNy8CXieQRD46HZZLSbQYas0qxqf\nPR5X8eQPIAaTgDHsbLhwIcJgwHEBFkrxeUVzZIXDQxu3Vkcol33UasBoxAq61vRAKxQIqnguCqAk\nkcSLjBcOUv7qr/4Kf/AHf4A//MM/BAD8zd/8Df75n/8ZP/jBD/AXf/EXL3o4ScShtcLaGg2naARF\nQ71ul+02rRYnV2nZCUOqPgFAKuXj+nWgWCT3YDwmGXpjY4H79zN48IAu492uXZG2793TODszKzK4\n+KFsbTHRPj11rvJaM5lvNFwlJIpc9UGqGKUSAQLAJH004u+S3EuFQzgbAjzW1/ne2ZmrzEi1Iwx5\n3MXCeZtks9y333eclDB0oEB8aeZzt936OkFKLufkhycTxI7tvN4wdNUX62DcMwAAIABJREFUa10r\n2/Y2Kz2jER8yQeAI/rMZxwU4/5dslseWNrrDQ+fRIjwbwBH1azX6vNy961rLxmPg9m0gm7WYzTRa\nrRReeYVtBZOJhbUaxrClodMBDg4IPAAbA1sPpZJCqUSjTwAolWgURhI9/QU6HV5bGBqkUmwFe7IP\nutGgjGa5bLG9rT8GMhKX+SSSSOLnHeRqRvjgA2B/30O/HwJQ2N7mZ6MR5/peT8H3l8jlLA4OPGxv\nA3t7nHd7PbaG7e2RaN/tqpjgTgn2520ZleqO/B6GBmdnFoOBxs2bXEjq9zX6fY1iMUKjIcbDS1hr\ncXLi4cIFYGcnwt27HqyNUKtprK2Rn7K5qRAEj3MIk0jiRcYLBSmLxQJvvfUW/uzP/uyx93/9138d\n//Vf//Uih/KNCd/XeOklOt26iU895m5L00cnB7uxYXDzpsXGhgffVwjDCI2GxdGRiidVC6W8mDtg\n4fsKZ2cW9+4pRBFdbZVSGI+9uP+WlZpi0cTeJgqTicFkQiAgFZUwZCIu7u3TKZPt2QyxKpiT1JV9\nUykm7L7PfUXFq1Bgoh1FrsIiqmEiLcwVKJ5/NHJ8FM973KulWGQiPZ1yX5ESFrWs/X1HhhePk8GA\nyfZwyNdiJEkpaMoli6qXVFyM4TGN4X4AYldjXmehwNf5PMchLW3GOA8VAVBiBCnVkvV1Hmdnx4kB\nbGwAt27xOzo8xIqDlMu5cVBCM4zPZTAeqxXfSHqUPY/tXhRCIICp16XHmS2CvZ5Cs2mxsUGfHECU\nwLhS1+mQGO/7XPU7345Inx9+T89yZZYWxKd9lvBFkkgiic8Tz6rCkqfBdtQbN4B+nwt8rZaCMRFO\nTixaLbawzmYKi4XCzo6bv5ZLhXYbGAzoGfYsafWnxbPmM2O4GMjWZS4wdrseymWOUWsfgwHw6NEC\n9+4pLBYWpRJbth88AB4+VMhmFV5+2eK110xc0fZWgiXJ3JnElxEvFKS0Wi1EUYTNzc3H3q/X6zg9\nPX3qPv/93//9Iob2pcXP6/rOr+g/i3gs2/V6ZFIXCkv0+/z99JTkZ7ZOBRgOvdgtPcJisVwdW8z3\nRqMAJyepOJFcgFrs6ygUQgTBCTKZGe7ezaLZXMNoFGI20+j3fRSLCywWPrpdH5cvzzCdangekM2m\nMB4HyOVI2F8sNJZLH2EYQWuF+ZzeHJI8z2Z6BXQaDSbzmQwTcVG9ms/5Wgjuwu8ACBaqVZfYX7jg\nVMC6XVYbhGwvgEgpnsP3CRIEXKyv83jnQYR817OZ27dUIthqNgk88nmn8LW25oCWVIJSKX7W7RLo\nSOWlXI6wXFocHfmYTIBMhr3O1arBYuHB8wBrIygFHB5G0DpEqRTiwQON6dSH7xOgeJ6JwapBKmWw\nWGgcHYXIZCLM5x7+4z9amE517Fg/w2LBe6FYXMZtbAGOj9MoFiMcHk5wdIRY0SaAMcC9ex6y2Qil\n0hJKuXsUAO7dC9BqLZHPL/Huu7wHZTtjgNkswMkJMJksY4Dk9rUWq/tW9vm88XWeb27cuPFlDyGJ\nJL7SQVleVkNk/un32W0g3MNcLkKr5SEIyO1otVIIQwsgAuAjDC0ePuRCzbVrbLmWVtjnqaA8Lbhw\nBJRKziOl2TQwRmFrS+HixSXmc5LtxWR5MlHo9Tyk0wYXLlBqWRaNgETVK4kvNxJ1r69hCPDo9wMU\nCkuUy89O3JgsLz+2v1Qu+v0AzWYK2WyEnZ0ZSqUlBoMgNipc4ugos5InXiw8pFIRTk9T8H0m2kpF\nCEPgvfcKePQojTDUq7ajMPRxdgbs7k4BMNEvFJZoNNYAGGQyVA7TOoy9XdJoNj3s7CxRLhvs76dX\n3JPFwjmvz+eOG0IVLYt02uD42Fslt2KiSE4MqySDAa9fWrQmE44TcNwYrV1VYrFgi9jaGn8keWYb\nFI8hVSF6nRjs7+uVYphIKudyHLsQ/oVPMp0ilt4FMpkIo5G3klOu1VzbWDpt4Xk6BjZRTMTUqFQi\ntFoKpVKExULEDjx4Hp3hfZ9VkslEI583SKcNmk0fyyVQqRgcHKTQ7frY3Z3B84DxmKTQ3d0ZXn55\niMPDDI6P0xgOeZ+NRkFcsVrGlaUAg0GA0chDLhchm41wdpaC1sDu7uSx72s4DHB0lMb2Nj7mwCwq\ncf1+gMPDDAqF5eo1ABSLj9+/SSSRRBJfRDxZtTCGvE7fZ4Wi3eb8RTESVpM9z0O9HsLzFK5fD3Dt\nGvDwIWX5tY5Qq3moVBRKJYutLfLvGg2eo17/7BWLJ8VAZKxcFNPxs2qOn/5U4eFDhUuXlqu23Hye\n3JV+ny7z9brFxYsalQp5KXfuWCyXIbTW6PXUyiw4AStJvOh4oSClVqvB8zyciaRRHGdnZ9je3n7q\nPr/0S7/0Iob2wkNWbH/W63uaapH08bfbJGdvbn7cO+JpbrJhSGUurRWKxQjttsXduxZBEKFcVrh5\n0wOgcPcuYvlhmj12Oly5qVSACxforkun8iOkUkC5fAFaW8znNk661wFY7O8zkR8Mciu/EGmH2txk\nNWc0AmazFLJZtl9NJsBymVoBgfV1YDbTq6rGZMLtxmMm+WzhUjDGW7V3tdtMhMPQ+ZkslwQTlYrj\npaRS/CmVOKbh0JHfh0MCC3FyP+/+nkpx/M0mXwuAiSK94uT4vuOUbGwIT4fnr9dZ5Wk22b41nwPj\nsYdyGavvQYwkjQGCwI+rTwJC+L1lswSLvu+vPGDKZYKcQiGFfJ7jZnuXh0IhwnvvIa6UAIMBW/vW\n18dYX4/w2ms7Md9IIZPxcPWqxWik4Hkae3vnZSp5D52dGXz0UQTfB65d07h61eD+fT7IazV5mPO+\nvHiRXKhaTa04KZ90T29snOeiuHv48z5Ev6i/x/8/R7/f/7KHkEQSX7l4ck4RLp0ofHkeF3Xu3dMI\nwxCTSYSzM4sgUDg89HDtGkHMBx9QBr5SAV56ieqFwiNptfg8fpq58tPiyTa08yHCJGFocHSkMZlE\nSKUsjo8NHjzQKJUQe5dZdLtsR6tUKC3/3nsB8vkIoxHbv/i7tyLnJ5HEi44XClJSqRS+853v4F/+\n5V/w27/926v3//Vf/xW/8zu/8yKH8rWIZ/XLCpmuVnPSrefBjOxnrV0BA1H8qlQsikWClW5XoVgM\nsVgoADomPNOsbzYzuHuX6l7ZrEE+b+MVcQ/FIpVFOp0IvV4K1ipUKmbVAnXxIuVoleJk3+0yWd7e\nduaNmQyTcyG/L5eurarddjLB56WFhWsiksS+j9jtngDovPLVfE4wIs72Ygw5HnPbbNYR4q11PBSR\nn5TqiSiCra+71iwBLIsFx7u2xvOMRk7SeH+fQKZUop9INssWMzGdBPgwW1/na7l+8TgZDBxIMobb\nptPOa0XUxQoFnlPGMh7z92yWx1ksFNbWSHjvdoH79/n5+jpw5YpFFKm4xQ4olxWKRYvJRKPbtSiV\nNK5d4z0RRQQo8pAVt+Najb3aly9H8H0vbkOwuHePvimyfb2uVit1z+KVPHlPP4tn8jxyw08D60kk\nkUQSTwsu5AH9PsnusvDFucYiiiLs7xs0Gha7u+Rn9nopXL9uoJRCv68em+OMIZggd/DzgYDzflHl\nsoG1nIurVYv79xUyGWBry+D0lF4sr7yiY4EcgyBQOD4Gbt3ykU6zTTiTUbh0idV5axXK5c8OnpJI\n4ouOF97u9ad/+qf4vd/7PXz3u9/F9773Pfz93/89Tk9P8Ud/9Ecveihf63hyInzaqouAFJGDBdhn\nIxK0hYKRowEQDxWLR49snOxbXLigUSxaDIcEOUoZ9PsW1oY4PU3HCX2E42MeUwwI19Y4tijie8Yw\ngQ5DJuWnp1hVB8TH49EjVi0KBSbl0k5VKvF3IYSLieJoRDJ5rcb9z874WbEoPAfnxULeBs83HDp3\neuGJiITweMxz0KCSwEUMF/N5Z8bY7TpyfhA8fjy5BqkGscTuwJR8Nps5MCLyxiIOMJ87nsxyyXGw\nasJ9cjkeL5VySmG+z/GcnpKXQ5NKi7ffpvKW7Mt7BrhxAzg60rh3L4X19Qh37mhksyFyOQulApTL\nBp6n4/uFJHgBvZSrVLhxg2TOn/zEQxRFKBQsUikPpRKrOkL2lIfq89zT8t75eB654fPbyriTSCKJ\nJJ4WYnSotcXlywYbG3r1XrerEEUGkwmNEo1hNbxcjuD7CxSLAW7cANpttos1mzLXCcCwzwUEnpRG\nPj++KGKXg9Ya2ewS7bbCZOIjiiicsrdn8L//N3B0pPDmm8Cv/IrCe+/x2X/xooFSbEfb2KAgAAD4\nvnquxZ8kkvii4oWDlN/93d9Fu93Gn//5n+Pk5ATf+ta38E//9E+JR8rniE9S+XjyvSf3K5cjtFpA\nFLGaobXCtWsRfF/jzh0NYyIslxEODz1ksyE8j1USpWxMZif/YW8vxNtva9y+bZHNGtTrnIDv3we6\n3RRqtcUKMBQKBCW3bgEXL7Kk3GoxWQ4C+p4Azs9je5sJ+vExz+f7rnIgJociPwy4iofnYSWXWKmw\n6tJs8r18nuBCElIBQQJChBwPsJrQ72PVnjSZOKGAdpufKyUtaRx3ucxryuV4XaL6lckQ2DAhJ7Dq\n9Xh8tskROIgj/eEhPyuVOMbZzKmH5fOuqpTP89j8/2ELWS7H177vzt9u8/sUw8sgAB48IOgSUr4Q\n9Ot1SkGfnQVIpSw2NhbIZiOsrYW4f59KbZcuGTSbOm45s1hfJ+/l3j0PSkW4fZv31PXr/M7m8xCN\nBr+rV1+NsLvrr1Thul2LatWi2aTMpYCLTwMi1tL7x/cTbcwkkkji5xNPVluVYotXq8XWKqVoelsq\nEZwMBh62tiJEEYVX9vctOp0QV65oDAYeCgWDIPBQqdjVc6hcdmqTnzU+7hfF51y3y0WjbHaJ8Zjq\ni4UCPU6UAhqNCL0e5+/BANjc9OF5BlFERa8HD2jIm0rpVSvt+WpNIvWexIuML4U4//3vfx/f//73\nv4xTf+3iWQmcMXTq9n39VPJfu63Q6VhEEZNYAKhUNDY3aeDUbFocHWn0elEMYjQuXbKxd4jBBx8A\n//mfGu+/bzAYGIzHFsslsLVlkc0qWEvDx0pluUrKUynyLno9JuyS/OdyVOSS6oE4n/f7/BHfjlyO\nRlTiED8aEThY61S7xC+l0WCSvrXFFqbJBLh8mcAhm+VELm1S9IXhvsI78X1Hxpc2LwE5QtZPpXjc\nfN6BApEwFp7LZOKUujodV4np97n9hQs83vExx7JYcLzpNK9JFMEEpAkoEXAkfBchcBYKrv1N/FbE\n66Ve5/ms5dgfPuSx63VuK8plAK93NjPI5Tzs7MxQLC4xHntIpxW2tyOsrxuMxz6UsvA8i9kM6HQ0\nCgVyk7pdhV6PVZJKhW1ga2sGvZ6Hw0ONTIY+PL0e+6fLZYt+X3/sPgae/lC0lpW9J2WJn6cN7Py2\n4vmTRBJJJCHx+DzE55W1IrnOeadQiLBcAsOhRhhGWFuzyOU0AIPlUsUtxFFcleA+5B5KNwE7Fjod\nAp7PAwJk+2qVx2o2Dd5+W2E4BC5dstjcVKjVDB4+1Njf1yiVIrzyCheLOp0I//EffFa9/HIIwIfW\n3kq9TDgucr1JJPEiI1H3+hoGy76IHWZdD//5YDXFQiknp0iCOX1PqADCn15PxdsbHBx4sVNuGFcS\n2KZTLlto7SOV0nj11SVGIxL1ZjMPyyVBiShr+T4nxKMjBwDabUfq7vUceVxW90UmV2sm+s0mty8U\nnIu6+KV0u+483a7zBFGK2wkI0ZrnkDap0cg5uE8mrNJUqxzTeMwxFYusQnQ6iNWxXNuWcFGk7Uwq\nFsKriSJXYRFn+eHQKXwtFs4vxfMIVBYLVkfyeVcVoiKLc6yfzfhdHB1x2/V1HkNavYzh5yIO8Ou/\nDvzoR+QfiZLW6ancLxzX4SEfvltbET76KItsNsLenoc336Qh4/Gxh93dCOWyxnDIdkASMmkAFoYG\n9+7xYa4U/Xfy+RAXL5LTIiGETFm1+zT3eLl3azVxRn46f+VpfxPP4m8lkUQSSXyW8H2NzU27mqdq\nNfqh9HrAfB7h5ERhNPKRSrErIZdTGI/Z4nXxYgTf9+F5XLTxfY0wpNmitTaejz8/L4Xzm0a1So5o\nt8suiHze4v59D9YaGBNhMrEYjzXKZc6h77yj0G6HGI8V9veBb32Lal+FQoQw1JA2cBpOPp0zmEQS\nP69IQMpXPJ4sRcvqMD06nt3uxRVklyyGIasn7TaJ0kdHCvm8QbGoYzBgYglbuuxevqyxt8cV+nfe\nSSGKDPb2KLF7cKDQ71s0mymk0wa5HJPket0RyIX7MBhgJVccRVgpTg2HPLZ4gWxtEZjIirck7J7n\nWrSkumEMPwMcGKC7L88xmzlFrumU/1arrpIg1QepSEiFAuC4lHIu75OJa/0SoKM1j7dcOvPH2cy1\nmk0mbmzyXyRgrFDg56OR81uRMXieM5Ss1ZzcsufxenM551KfyzlfFZE2tpbfweEhEAQK29sWIvhU\nqxF4Vasc561bwOmpRiplMJ97mEw8vPGGxbVrGg8eqBggaAQBVwWLRRWDHIV+30MYErx6npA0LXo9\nHxsbwPXrYjSmPibucF6xS1oNnvZQlGThWZ//rJH0XyeRRBLPqszKgke1CnS7GtYa1OvAZMI2qygy\nsXR/iPGYQCaXszFXjx0OoqhVrXI+rVZl8ezzzzmcQwGlfLz5JiXo793zsVxGmE4VCgUVy/cr9Pt8\nnhQKBCbdroXvBzBG4+zM4q23NIpF4DvfWaLX0+h09MrdPokkXlQkIOUrHOdbuwSUyCoxkz834T2t\n1eU8wOl0FDodg2LRoFiMAOhYqctgMOBK0WAA9HoW+XwEz/NgjI8rVwyKRaDf9wFEWCxC/PSnVBe5\nfHmG2Uyj2yVpPZMhSIgip64lq/4CDnZ2mHQ3GmzLGo34QHj/feccX68zCafKCsefzzvpYMBVJlIp\nJuhCSs9meQxjXAVDCOr1OvcXfxQxYxQAI3yXdJrbrq+zEhOGDhSI2pi0r4Uhz5nLESAArsojvi6Z\nDK9lOCTQEhNK8Xm5cAGxkabjyOTzPNZ47L5PgPv5vhMAEE8X4dm4tjATf1esiEQR0O162Nlhq0IY\nGnS7FqORh7W1KB437wNjLLa3qbXf6XCVrVwGej2SRpWKYqU4qs2cvx/Zfvh0grwxFHDgPfrpK3bP\n8zB/Htf55yHfJ5FEEl+feNrixNPaRunqDpTLFuUy4nlLI5uN8OCBwmzmYWPDQCnyO6kkaWFMiCDw\nkc9HaDQ8eJ6Hq1cjdLsa7bZCtWpWLdrPG9UqlcJu3xa/LS4GAQb5PHkwpZJGPm/R6VhMJlycZDeC\nj1RK4eJFqjj2+3J+XuvDh+y8SFS+knjRkYCUr1m41Wj1GOnNrfyY1SQjBlKVCpPDTofSidWqxoUL\nEWo1BaVIriOvxGCxoHGj51kUCiH298k1yOf9WPmECfnamoUxCxiTWhEC9/fJvZCEPpdjRSQMCWIk\n4Rdy92jExHw65U+9zte9Hl+nUkz0jeFrcTCPIv4rRPRLl9gKJVwMpZjEiyeLyBdLlWc+d54snsfX\n9IJBTIwkkAgC14bVaGB17Z2Oa/my1rnSLxYcm5hF+j6PPZlwP3q68DidDq+pWHQtXlL18TxXyQH4\nvkgMFwo8psgW00QSuHKFLV29Hq/95IQg5vr1COUycPu2h1xOoVRS8LwAb7wRods16Pep789KTIQf\n/5itXYWCiBYssbbmI5uNsFho9Hp+LIOJWA2OPdfstUZcVSGBs1iM0GzyeOVyhG5XodPhg//Jlq8v\norKRPFyTSCKJZ8XzLE6USibeXsEYE3McLfL5EO02uSf/838uMRh4aDY97O1FscIkAcrBgcJgAFy+\nvESzqeLOAhMDFRub/X42CXX6tnAci4VBt0s+6N275AVGUYSTE1ZFlkuLVstiezvCwQFw65bGzs55\njzIPa2seXn0VePllzrm9Hkn+5bI7ZzKXJvGiIgEpX+GgF4VZ/f5k69f510J8EwWlctnEoIAeFwD7\nUwlIIgyHdDff3FQrd1ylgJ2dJdptjfHYRz6/xFtvaUSRxne+E2I85j7b28Bs5uH4OAXPYyuRUq71\nSYDFhQtM/M/OmLzLav9kwu0KBZfgC6CQh4iYP9I51yXwqRQT49HIgR2RGhbAA3C72YxjETL5o0cO\nVMznzl+k2yUAKBb5vsgLVypOnhhwPiXS7gVwOyG5ex7POx67Nq8g4HU3Go4sPxzyHPk8j3P3rvNs\nERnJyYTXWSo5gr6421cqDqDlchxjFJELU6nwmIMB9xGls1LJYm/PQOsUej2LMFSYTgNUqwZbW4KI\nSALNZnkvPHpEucutrQXee8+HUgrf/jb7rkslA6Uoicl7ihwYVuzIYep0FNpterQ0m4irME83Hn2R\nlY3nqbokkUQS35yQuYiiHRa9HpDLRbEEv8alSz5efz3Ccmlx504KvV4EpSIACoOBBqDiKriH7e0Q\nxijs73u4fDlCELAF9nnG0mjwh8R8YLnkvNvrAcMhRXCsNZhMvNgwN8Rbb3F+E2n6bDZCOu0B8FAu\nq3gOBlIpVsnrdVZQnFx8UmFO4sVFAlK+gnEefJw3caI6iPObOP+ZyPQKURpgibrfB7S2qFYVrl2z\naDRM7BtCmUXhGRSLFj/8IXDnToCbNw2uXLEAfGxsGAyHnPB6PUneNTIZOsp3Oj5SKeDqVZ4zDF3V\nI53mv60WE/tXX2UCPxoREORyjl8iRHsxelSKSXgUOQWwTMa1WBWLrmKgFDkt7bYDEQRqItfoOBBn\nZ+6cSnGsmQzHKvwZOfZ0ynEJlyQIOP5ikccX1bTB4HG+jLST5XIcTzqNlSN8t+sqMtKKJpWetTUH\neKwlQKlW+f0Vi05GeG2NjsYPHji55jDk740Gq1nSMnd2xnPs7hr0+z7W13lPzOcGa2sWvu+jXF6u\nVtl2dgzKZR+lkoXnRTg81PB9g/lcxf41Fr4fodfjA/n6dUcMNUah0xGlGAHZvFe7XY1Sycbtal8+\nOfPLPn8SSSTxYuN5FifI92T1ot22mEwIBpTysbGRQi63xNtv25WBr+fRLPHiReDVVz30+wrNpo69\nxdgqVq/rTzS0PR/G2NhcmcI26+s2bncm98UYKi3mchbHx6xW5/MR3nsPGAws1tf53NrdjaCUh07H\nw9WrQKkUYTAAGg2Nev3x1rNmU3iLny5ukkQSX1QkBgNfsZCVHOGiyHvUbMdKJlAmFmv5mSh01WpM\nxkXdq1zmhBuGFsslZYeHQ43XXw9RLlv0et6KgB9F4lCvEQQa6bSPN94ALl5U0Fojn2fLTzZrkMuF\nePQojbOzNPp9yt0eHxNQcDxM3vf3mZxLCxOTVydH3O26aoYxrAaIJLFwO4QYL4pcUi3o9x25fH+f\ngCCTcTwXIbBPJtxGuBzTqfMcAVy1RhzqxXhxsXAVE2lBE86LXCvgOCmFggM48zm/h+mU1xlFBFKl\nEt8T5bJ2m6Ajl+O+7Anm/lwtc+aOIj/c77tKk1SBxAxSrnU45NilvYyVEwVjgPX1CNOpxXCoUSxG\n6PcD9PsBlAJqNR83bypsbXkolXzs7ChsbKTwP/6HwpUrFj/5iYcf/QhotcSZ2cPGhkK9rmNvAEoS\nB4GHjQ1ga0tja8vDSy8B29saqZT3VCU6AZFP+gEljvFfr/j3f/93/OZv/iZ2d3ehtcY//MM/PPb5\n7//+70Nr/djP9773vce2mc/n+OM//mNsbGwgl8vht37rt3B8fPwiLyOJr2h8FoCwsQHcuGGxt2dR\nLit4nkGvB4xGGqWSQbkMDAY+MpkI6+sW+byH114LkUoB0ylTLqUUBgMf+bzFpUt2VbX4LOGqOQrV\nKnD9OrCz4+PaNY1Ll4Bq1cPNmwrlsobnaRijVm3Ks5mHixeBl18G1tY0qlVWXIwxmM9D/Nu/Kbz1\nlsHt2wZnZ4/PryKdnPBSkniRkVRSvoJxvj+fsq1Au61RqTxObBODp3abMsMieyhl4l7v/2PvS37k\nSO5zv4jI2velq3d2N9kkh8ORRtKMJBv2k/zGsp8F+GLYgOCLbcD/gOGDAQMGdPLd0MFHw4B88MEn\nPxgwDOtZFvTmyRrNInEWcshmN3ut7tr3LTPiHb6MyiaHnOHYM0NynD+gwe6qrKzMqmRGfPH7FnZI\nlKLoeTJhy1hrYG+PwVMXL2rk81zpXloS2N52sbAg0e1acbVEp0PnLykFjNE4PeWEmq5deq5pYVYG\nf6ywfHk5oB4Nh1zhV4qPWdeshQVO6G0nIZnkRN46cFlHLbs6JCVBUSSCuXbC6lGsBsbmnmSz3C/A\nVSLrCmbBDv3vg6R4SwWzAKXbDahhsVgQ5FgqEUg9KHC3tLXlZdLL7Dn3++z6WKcuCz4APpZK8ffZ\nLDhvq8ERIji+oyO+d7HI4ymVArOCTAb4wheC33M5bsPvjinw8bj2uz0OVlcBrQV6PQWtAa01ikUO\nwMbQHa5YlLh82cBxFGo1M+cr2w4JB/2HO8pJKefX8oOBjA8zenjw+f8MBSx07Xq6azAY4Itf/CL+\n8A//EH/wB3/wAYdCIQR+4zd+A9///vfnj0Wj0fu2+ZM/+RP84z/+I/7+7/8exWIRf/qnf4rf/u3f\nxuuvvw4pw3W5sD66HnafsPcc1zVotQS0ltB6hn5f+GYzGp1OFNmsRrutUa9Lf+HNYG+PtF06ZiqU\nSkx+b7cdPwRYo1YT806F7ah8VDmOxNISf3fdIPOrXGZWlecZrKxonJxI9PsCS0s0PEmlgL095eeJ\naWQyAv2+QK+nsbpqUCjcL94P7t9Pvssd1n+vCkHKM1jnx+0gxOmDeSj27wdvLhTX03Iwnw9W5+t1\nhfV1z0+UJ/2mXIYf/AjfV91Bp0NdgesatNsGvR6Qyxlks3QIq1aBWk3iwoUx2m0H2Wx8ToEajzkB\nt9a5pRItcQcDdhKsRmN1ledgNSM2G2Qy4fPTKR+LxwNAZAXv1uLacMi8AAAgAElEQVTYakTicQrH\n221SxtbWCE4OD/lcoRDsv9djtyadhp8dQ0Bk3biU4rHZ97CTfKt5sbbDNpcE4OsHA/5trYg56edn\nMp0GQZCWBme7NdlsANqsVXO/TxBynl5WKASgJ5EgWLH7yuf5+2wWdK329+myVakYpFIK+bxAMmlw\nfCyhlMC1awaXLgGDQQTZLIPI9vcFAI2lJQ0pba4JxZ6kaAFXrlBvEo87H7hGHxdofFwA8rjAI3Tt\nevrr29/+Nr797W8DYNfkwTLGIBqNovIIL9ROp4O/+Zu/wd/+7d/i13/91wEA3//+97GxsYF//dd/\nxW/+5m9+asce1uejPuw+EdCsaAjSbgv0ehwL+32JbNbFZMLxMpHQWF7WUEpif18hEvFQqdCYREqB\nXE7DGAOlFAD9WBlRwMNpafa4ej0JrTVcV8MYApN8XmJ1lXbwicQUt28bTCbCD1pWGI8JZiYTg0SC\n4/ilSwbx+Aff177X+b/DCuvTrBCkPINlVxftjelBNy/7HPDh7WtjKF6ORiXKZQY7AkAupyGlntMp\nmAquARjfOcTzRdwEOd2uhOcZpNMeCgWNTseg2ZSYzSTSaXcOAqzNrs35yOeB/X1OpBcX+VOvBxN6\nK/weDgMBvO1s2Ak7zwNzh5LdXU7CaQvJfQ+HQUaK4wTWvpY2dXJCsDSZ8DGrmVGKgMLmmzC8En5w\nV9AlsXQrSxeLxfh+wyEBBMDjj8UC6le1yv0vLXF/rhvYGttgSqvZsRbNyST8VTd2haxDmE2cn04J\nXqLRAMjt73P/hQL3NxgQ+KTTGlJa0TyQTrtotQT6fYWVFfKX796NoFzWWF0dIpWKYDzWODhQKJcN\nKhUOqjs7Aq2WwIULLiIR4dMDCX4e7I78Z+pRA6IdqO/PVgmBx+e9hBD48Y9/jMXFReTzeXzzm9/E\nX/7lX2LBv/m9/vrrmM1m94GRtbU1XLt2Da+++moIUsL6L5UQ1MwVCtTYKaUgpcbOjsR4LNDtUo/X\nbgORiEa/r5BKCaRSHkYjQCmJjQ1u8/rr3M/2totmU0Ep4NKlx7MgfliHxxiJzU0Xu7sCd+9yQUlK\noNWiIUki4WJ/X2NvT8B1Ja5fN9jc5Dhyeip8/YznL2BJ/x4u/ksLSGGF9V+tEKQ8Y/Xg5My6dj38\npmXmYXn2tXbSxwApCSGCxwoFg9NTtqX7fSvMpqh+OtWo1YBez8DztB/8JLG2ZvDccx6OjhRu3gTu\n3hUYDo0fGOXAdV2srACzGVdrIhFOlldXOWGu1xn21+9zoj2ZBMnooxH8oMBAI2LzVKJRgpp2mzSt\ne/eCSX2zyYl4KhXoVcZjPmY1H1Zc3+1ykp9M8jFr4WtdTGYz7mc65THYLBTrOtbpEDisrWFuu2uD\nIhcXg+O2GTFac/+pVGCXHIvZz4LgzZgg0FJrWigXCvzd0sZsiOTWFl9vuzr9/v15LQsLQVBkLAbf\nKIGdJdcF6nWBaNTDjRsCw6HAV7/qIpkU+Ld/kxgMPHzpSxqNRhKdjkK57CGXEzBG4c4dMQdQuRyv\nBwAolz20WgpCAIuL5r5r7lFA48HnHheAfNwBMnTtevbrt37rt/C7v/u72Nrawu7uLv7iL/4Cr7zy\nCl5//XVEo1FUq1UopVCyYjG/FhcXcXp6+sj9/uxnP/u0D/2J1uf9/IBP9hwt1daGB9vH2u3I/HfS\nbGeYTCLIZCKQUuHoSKHbjcCG72oNLC2NMZsp7O/HcHTkYjrtotOJYG8vgYWFKY6OxhgMIsjlZvP9\n5vMziIfcoh52juePK52eoVZLYmdHIZulW87RURSW5bi7m0AyqVEuT3B6CgyHHtJpD+02nTg7HeDo\nKIajowm2twdQ6v5jOf9ejzrG/2qF1+qzXZcvX/5E9xeClGewzk+whPhgcCNAgNJo0GJYKQrbSyU9\n77qUywblspgHU92+TXoXwERciu3Yfi4WDW7dovYknZ6hXjc4PhbI5VzU64AxGtmsByEclEoMAPQ8\nD/G4xmDgYDwm2HEcTrDrda7wX7kCrK5qHBwQBFgxvKU9WZBgTOCYNRqxE5FKka5FR6kghDEWC0BN\nux2AiWQy6Ij0+4G9sRXS37sXBCjWatSMWHrUdMr3s4J3m89iE+pteKMVu1u9S7vN11qdy2DA97C2\nxSsrQXq9UtzfeMz3seDJ5qTE4+wS9XoEWtksj2N3l4CjUuFrbIClFf0Xi3wv+/xsxnTkw0MCRMdh\npglpY8a3mybfOhp1kU4LP+8kCtdVuHAhsEkGKCDV2uD//B/l/62hlLmv2/dhK2+PAguPCyI+LvAI\nwcmzXd/5znfmv1+/fh0vvfQSNjY28E//9E/4nd/5nSd4ZGF9nuphk28LHh4s3j+Vv4ikYAywtDTD\n0VHEDxD2fDrzBIuLU+zsUGC4sTHCaKRQrcaxvDxGNjtDtxv5yGOzAMoeIzOnZmi3I+j3I1hbG873\nY63+M5kZ3n47i3SapjaZDAHM2VkU47GHRMJDKuXh7CyKQsFFpTJFoTCbd9sf9hl8GgAlrLAerBCk\nfEL1WfM075+cfZBWUyySJ1urEXRwZVr4YmuuUFsLw0YDEIJ5K8yzkNjaMuh2JWo1dkWE4CSU6fFs\nJcfjDIQ6PgYqFYkvfMHFr/yKxO3bAkdHCu22huc52N/nZNvaIEejgcuU7SyUSgQdrgtsbFgnElKf\nej1a5Vqhu01ed90gAX485o8QnJjbIMZikcfHgMnAcWs45PaO/z/AiuktTcomuNt9230mk3z+9DTQ\nvyjFToXNNrFdk0iEr7HAy3aFzs6478EgcDFzHFK/6vXAWjmbZYcmmSSIarX4OcXjBCEvvgjs7PDz\n3NykDiUW4+syGZoHnJ4CdmEjFhPY2uL3TB2R9gO6BK5cYYjncBhDqaTxyisujo7oyLW6OkSvx7Ti\nQkHAcQhorXtXqWSwseHBGArohRDzgfTj1oM0xccBICHw+O9by8vLWFtbw507dwAAS0tL8DwPjUbj\nvm5KtVrFN77xjUfu5+WXX/7Uj/VJlF2x/byeH/DZneOjxPQHBy7OzjxIOcWVK9RtkhIt0OsJdDpF\nuK7ElSsG29sGr77KsfTLX9a4dSuCXs/g8mVgays23++D9zR7jl/5ykvnFn2C7VyXTAdrpjOdcrB1\nHImjIxeTiYvhEOj3Z0ilBAAHuZzB5qZ1yaPJzvY2u/nRaARLSx9NO/skK7xWPx/VsZOsT6hCkPIJ\n1JPiaT7sfeyxWDembpf2gloLAEzCteDEZoQA5MLmcvDTwOmRDnh4802JXE7gxRenyGQkdncjSKUm\nMIapufW6dQfTeOMNAdcFVlYMul3tZ5JoX8AufM92TpCtWN+CA0sDc90goNB2Knhelg8caFPS6UBo\nb0XykwlpUJbuNRgE3ZXRKAA6jkMgpBT3sbQU5I+sr1OnEo0Gx9Lv87NKJALQEYsFf5dKQYBiqxUk\nzlvKVj4f0L0qFe7zvPjfiu/zef5rNTV7ezy2QoHHns/zffp94P33OVAJEeh4hOB5J5PsBp2eArdv\n8z2t49bhIbfl5yCQTkuUyw5KJYG9PeDgQCKZlOh2LcUtguXlMa5fl3Ac6V/rFGLaa05roNORc63P\neYphEDj64RqVh/0/CgFIWB9WtVoNR0dHWF5eBgC89NJLiEQi+Jd/+Rf8/u//PgDg8PAQN2/e/IBV\ncVhhPW6dvzeVSnp+b9Kai3iZjIubN4HpVOGFFwyGwwg2Nz1kMhqnpwq9Hu+lN25IGMNskn7fwcqK\nh/feU9jfl1hf149tRWzvufYYGg3mrRQKGtOpwU9/yvvmiy9O8dZbvJcvLMzQ70sYIxCJuBgOHVy7\nZrCwoLG3J7G3Z90uGcw7nXr36Qo/CY1hWGF93ApByuewbHfE8+jb3m4z7bZSIQ2n1aLlYaEgMJuR\nhtVqSd++kO5MnY5Eu63huh7abYE335QolSS+9CUX//ZvCoMBnUm6XYlkUs87BD//ucb+vsRopJBO\nU2sSiwFf+5rB8THw9ts8RpsGH40SsFiRfKvFCfhgQMCRzwd6CgtoAE66rWB9POZzNhzRJtBbMAPw\n70Yj0IpEIpjTz0Yj3pytRiQS4UTfZqNY8b0V6ltAYkFJNBo4e1m7ZWMIECIRdjUGg8AuOZUKwATA\n4x4MAoczqzExhs9Npzy+szPqhdbXqVO5e5fdE7p1BeJ4a0yQTrMzYx2+IhGJaJQ6pdGI5xGLCWSz\ndPSKRCS2t3leFOJ7kFLj3r0UlpenKBQMej2Bet2D1hr5PK0q63UGQFpLZGqYSRUMhe1hfZwaDAa4\nffs2AC6y3Lt3D2+99RZKpRKKxSK++93v4vd+7/ewtLSEvb09/Pmf/zkWFxfnVK9cLoc//uM/xp/9\n2Z+hUqnMLYhffPFFfOtb33qSpxbWM1zW0QuA37EAcjkXt24RLDDZXWA247jRanmIRIBEQmF52WB5\n2cPOjsJgAOTzCrmchFIKxaIE090fr2thF32YixYsAAFinolm2RIAgZXnuajXuaiYyxlEIhp7exyf\nXdcgl3N8pzEuQmUyHhoN4Kc/VcjnPQAMib561ftYeS5hhfVJVAhSPoF6mgS5DGw0MIbak0IB5yaJ\nbAvfvg00mwzfi0YlcjmCkUbDIBIRkFJBa41OR2Fry0M26+HttyMQwuDCBWZqAAa53AwrKxrNJif8\nL79s0G7bzoJAPj/CdCrRbis0GpzU5vM8zvGYXYRkkhPwTifQajgOJ/42xNEK1ieTQE9iJ+Onp0Fn\nw/PYMen3OdHO58nH3d8PMlCyWWpFrF7FChwtdcxxeByZDPdrhehW3J5IBAGSlrZmAdJoxGO2FsPR\naACwJhPur1iE33Xg+5XL/CxiMR5Ps0mw02jwHJ97jvu0jmO2c2Tdv3o9voelu6XT8EEnz1FKHo+1\nK85kqDEaDIBUilolx6HwXcoIrl6ljebensB4rPyOGnByEsXOjsDW1gzttsDhocDKCjtle3tMlN/e\n1nAccqEtnZDdm4/uoNhr92n5fxTWk6nXXnsNr7zyCgBST7/73e/iu9/9Lv7oj/4If/3Xf423334b\n3//+99Fut7G8vIxXXnkF//AP/4CURfwA/uqv/gqO4+A73/kORqMRvvWtb+Hv/u7vPpC5ElZYj1MB\nO8FgYYELelobnJ66uHFDIJUySKUE1tYM1tY0jo8lDg8FkkmNoyOFdJpd58FA4uJF4PJlhtr2+wxb\nfOGF+zszj+PsJUQQ4iwEc1rOzrhoWCoJfPnLLjodgXbbwcrKBFob3LqlIKXrZ7doZDIG+/sK8bjB\nyy8bFIsKmYzG7q5Cs2lgbZG1ps600QjMUMIK67OqEKR8QvU0/ce1qy1SCjiOg8VFjenUQ63GVq/x\nl4TsjY4TWoP9fYN0Wsz1K4UCUC4raK2wvOxiMBDY23PwwgtTnJ1p3LlDgXw+Dywt0Zq205FYWTFY\nXzf40Y9oqzgea9y7J3HxooflZepMzs4C3UU8TlqTpW3ZLoNduep2CTjsKtHSEilL1uXLdg5clxN8\nKdkticX4HolEYNdruxQ2NDEeD/QvNm+l2w30M5ZiZoGMEOxeWCAiBPdpNSeWrtZuB0nyNmm+Wg2S\n5W3npd8PXMws+LABk5EI9+N51JxYWlc8To2KMQEQKxaB//t/KaS/cgVQioGKtlNk6XN0NlO+uF36\n52Nweiqwve2hWARaLYLUlRWDS5cU2u0pBgOFdlug05G+jsUgmzW+hon2l+rcIpvrErwGxg4Pp27d\nz6UOB8D/7vVrv/Zr0Fo/8vl//ud//sh9RKNRfO9738P3vve9T/LQwvpvVnbxxJrLAAKLi6TNjscu\nfvYzCcBgacnD2VkEruuh1zOYTgXyeQ+plEQ6rXF6KuaLOBcvRhCJSOzvSxSLNt9MPpJO9rAK3A8x\nd/is1RjAnM2SZr2/70BrA9f1MBopbG4KXL8+w82bwJtv0qmxVAKMEUgkPBjDLks0KtHrAYWCwOam\nh15P+cwA4y9OhhXWZ1shSHmK6/wK88cJrDs7I8Umm9UolTw0m/RNN8Zga8tgawv3rdyQmuMCEEin\ngXTaYDCIIJ/XyGYNOh3l81E1Wi0P+/sKriuQTLowRqFQ0Hj+eYODA4oAUykP9bqL997LYjp18OUv\nG6yseIhEFKJRD+VyIFwfjShsTyY5CXddTsytnmM04kQ8FgsCFYfDoLtSK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6BV5/HYhEmCLf63H8WVjwMBoJeB4wGjGoUkqBVuvxM67CCuvTqBCkPIP1YV0VrQ2qVQ+3bwPt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XC5FnFiDNME2ElhGIZhVgytra3QdR2pVGrS9lQqhY6Ojmnfs3379sWY2qKj7tiu1PUBK3ON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\nW1sLt9uNaDSKc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qwjXXXBNjNnTyySdj9OjRCTWZl19+ufm7zWbD0KFD0bt3b0yfPt28PnToUNjt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BGdTgevvPLKRJfyyiuvoNvt4qWXXnrI3X94PIgQ3OJwQyk9aT3yPDWTG2J+251J8LuNcz8B\nvOvKSYjkzryY/ciIuVcWzWH7d3rY9sfCwsLiIOC6EidPKniewq1bfG9hgYTA90lghkNWNfp9fq41\nyUUySSLTbjMNvtPhZ70eyUUkAvT7Aq5LHYqphjgO1zfhjEb3ApCwuC4F81Jy7FiM65o2s04n0G9O\nT+JZWBwm7Ismpd1u4yMf+Qja7Tb+9m//Fu12G+12GwCJTigUwoULF/DRj34Un/3sZ/Hnf/7n0Frj\ns5/9LD72sY8dWK+0/U/5ZGE/Zu5NBeRRxnlc/27eiSBMCwsLC4v9hZQCS0sSGxsSb76poZRCMslK\nRjRKLYjJMYlEuM7WFomCEPwsFCKpGI2AI0dIPra2SHaSSRIM1+VjOAyqIp43K8hfX+c2h0Muaz7P\n56mFkZJkaDQSWFjwIYREtSrtNcfiUGJfSMqrr76Kf/3Xf4UQYsZKWAiBf/zHf8TLL78MAPjyl7+M\nz33uc/iZn/kZAMAv/uIv4k//9E/3YxcsnnLc6wZeSjERybuunGtRXCwaJ6rA4Wx69sgQoHsRmJ0k\naXoM8142q8avbSiWhYWFxbMC15VYXXXR6YwwHGpsbwfEIhwOxPFGE2n0g70eSYXrskKSzQK3b5NY\npFKBEN73WUnxPBIZrYMxjYC+2SQRikaBWo2fhcMY2wxzvVSKtshCCKyvs5rC7gBLUCwOH/aFpPzk\nT/4k1B6SgDKZDP7yL/9yPzZpccjxTuoVgFmx+G7bDFq+ZlvCgHvrVIC7SRIAbG1pVKtALqdRLOpx\n3gkDMxcXH3xWyrYgWlhYWDyZkFIgm6X98M2bChsbJAdaY+IE2e+zqmIshE0+ymjEzxYXSSrqdVZJ\ncjmuOxiwmtLtkqwIwSpMKMTX/T7HV4qCfSEC2+FMhvu3vc0wx3Sa6y0sKPi+DyCEXE7biTWLQ4nH\nYkFs8WzjUdqWdiM3z8oN/NP83SwsLCyeVniewuXLwPq6j8uXNW7eJBkQglURpVgl8X2SlEiExCEU\nCmyEazU+Ny1ewyEJSiQSjLG8TLIyHDLVvtUKxnFdTrhtb9M5zGhThkNWVTKZwNny1i3A8zROnBjB\nda163uJwwpKUpwTvdOXiceB+5ObRtSjmGM22hCmlkc/Ptm3de30uUyoBhUKwXqmkZ14/Db+JhYWF\nhcX9QRtioNvVGAxIKKJRitZDIeD0aZKQcJgPQz5C9HyB6/K97W2ua1q7ej2Sll6P1ZGtLRKOeJwE\nxXVJflotjmvayCIRvmfaxIRgO1i/H4RHbmyQrBw9qhAOOwd7AC0s5sCSlKcAh01w/SRUPe525AoE\n9fdbZ/r1Tm3Mfjp9WVhYWFg8GXBdiePHFTzPQberUK+TFJgqyXDIFi0pSUTCYVZLGg1WOKJRVkgS\nCS7baASaEiCwDR6NgmT5Xo8aE+Mg5vtc7vjxwI44EqHI3veBO3e4nWiU4vlQSEAIextocXhh/3Va\nPBY8zE354yQ380iDEb5bwaCFhYWFxaNASoHVVQdCaEQiI1SrrFRkMqyg1OuBFbHrkowYAmLsiU2W\nieuywmKCFz2P70UiJCnDIUmHaRkzmheTvWLyVkIh6lrabY69tMTlolG+//zzLo4cEbaKYnFoYUnK\nU4AnoXKxV7xT+z9dQblfq9fD4EF/k3mtYbZdzMLCwuLJQqWicPEiiYVp9/I8EgkgaMny/aBSYtq7\nGg1gc5PtXQArLwsLQVq8ISzJJNcbjTi+sTrO51kt6fWC5PlOJ8hnKZVIdmo1toIVi0A0am8DLQ4v\nrJ3DU4L9vsl+2mDyUea5dz2uY7fXcQ1hKpcDYjLvPQsLCwuLwwulNKpVH5cvC/R61IoArJokk4GW\nBGArmNZs1xoMSDaE4LJKBZkp4TCXCYW4rjvmFJEI28OiUWBlhWNtbZGoxGIkRSbw0QjmRyMSmFYL\nuHoVuHxZw/Pu78xqYXFQsCTF4pnBNGm4F2mxsLCwsLB4UEgpkEoJCBGQgkyGZKFS4V+Af01eidYk\nM+02CUQiESTILy+TUFQqgaWwELMhjp1OkLFSq/F9o0FRitWZdpsVmUqF7WFGx9JoaDsJZnGoYet8\nFs8sDgs5mdca9jS18FlYWFg8C3BdifPnJVZXNa5fJ4kw5CMU4l+TkdJs8rXjBNUPIVgtMcubjJTB\ngBkqnsdljF2xaR2rVkk8Vlb4vhAcs9NhtQWgBsVx+Fk6zfGOHRNwXTtXbXF4YUmKxWOB1VM8GOYd\nJ3vsLCwsLJ4sJBJhfOADPvp9D71eQEwWF6k3abXYohWPkzB0uyQkqRSrHmZ5o2dxHDpxeR4rIYkE\nlzfLCMHqiOsGafb9PgnOaMQqzcICqyrG5th1WaVZWXHtdcbiUMNSaIt9h9VTBAgcxCwsLCwsnna4\nrsSFCy6yWWpEUilWMTY22MK1tkYSYUTzUpJwNBokLK1W4Mg1HLIisr3NyksoxABHCt5nW8q05jom\nrNHzOE44HIj3Ox2SnEQCyOfDtopicehhKykWzxzeqSqPzUqxsLCweDbRbgu4rka3S/0HwGpGPE6y\nYdLl02kSi1aLLV/RKKsdhlyMRlzehEBubnJ5YztsKjDdLt27MhmK7h2HFZP1dY539iyJiucBJ08C\nJ044lqRYHHpYkmKx7zjMegpLHCwsLCwsHifCYQerqxq3bpFkAKyi1OtB5okRthtrYCFIUIzexFRB\njNB9e5tExLR1SRkkyUciJCUmvHFhgZUXY2EcjQafd7tsKSsUDt/12cJiJyyNtngseBYtkXe2dlkH\nMQsLC4tnD64rsbbG5+EwCUckQrKhFB+Ow7+jEclELBa0aklJ8pJMsooyGPB1NAocPQocOcL3Gw1M\nnMSA4L3tbb7u9zluLsf3ARKb5WXYAEeLJwK2kmLxTGGvVZ4HbQnbrUJjyYmFhYXFswchJEYjhcGA\nVRPj6jUcspphMk+GQ1Y9AGpFslmSja0ttmoZobwJddzYILFxXZKZep2VESG4bjJJcmJE9J7H8V2X\n5ObUKeADH4hYkmLxRMCSFItnDvcjDrYlzMLCwsLiYeG6EidPKoxGJAzZLAlFq0XSIQTfLxZJOMpl\nVkvSaWpOQqEgiDGXC3QoQgRak8GA48bjgeal0+FY0SirNs1m0OqVTJLoLC5KxGKhgz1AFhZ7hCUp\nFhb7gMOsw7GwsLCweGcRjUZx/HgfnQ7JhlKshGhNouK6JBWdDlvBQqEg08Q4fAkR2BI7Dt9LJNjC\n9eabXM4I81Mpju95syL8ZpMtZxsbHOvUKWUdJy2eGFiSYmGxAw9LOCw5sbCwsLAAgHg8hB//8T5u\n36ZL12BAMqIUicXCAqsr4TAJRr/PikmhwKpHr0dCEw4HtsHdLh9GOJ/NMjvFEJNwmO5eSpH8aM1K\ni2k5C4eBpSVYVy+LJwaWpFhYzIElHBYWFhYWDwvmpYSQz49w6xZJRalEQtFuk1QAJC7VKislJu9k\nOORrkzJvXhvtiu+zNWza0ng0YuXF9wPL4lYrcAczLmNnz1qSYvHkwP5LtTgUeJTQQ6X0xN3EwsLC\nwsLiMCCRiODcuYA0CMFqyTTp8H2+DwArK/zbbrOyUqkAd+6QxFSrbN9KJhnwOBzyPWM/nEqx2mKc\nwYQggTHieYDC+Xg8ejAHw8LiIWBJisWB41ES6s26jUbIEhULCwsLi0ODcNjBBz7ACkk4zBYsIMg4\nKRbZsuU4JCv1OnUjsRg1K9Uq3y8UuF6tRnISj/MvwLaxRgO4do1kpNfj+IasmHavaBT48IeBZDJ8\nMAfDwuIhYNu9LJ4ZvFNJ8xYWFhYWFgDJibEdBkhOUilWSxyHxEJrkpHhkOJ4I65fWCDp6Hb52mhL\nhGB1RmsSlFCIJMT3SXDa7aBaIyVbvlyX+Sj2+mfxJMGSFIsDx6M4Y5l1M5nRpGQ+D9ZW2MLCwsLi\nnUYyGcW7393H974X6FG0DsT0xSKJhZR8HY9zvUqFBCcU4nNDWra3WZEZDPh5MhnYEvd6XMZxSF5M\nRSWZZDUmlbK3fBZPFmy7l8WhwKMk1Esp7klQLCwsLCwsDgKpVAQvv0zhukl/dxxWPtJpkg6TDA8E\n5CMWI+lIJIDVVS4/HFIsD3AMEwTZ75O4mODGwYAuXuEwyZAQwMc/DmQy8YM7EBYWDwFLqy2eCdgc\nEwsLCwuLg0CpRELSaATkREpWSTodunAZVy6tWRWJxfj+tWuBfmUwCET1qVSQOO84rKD4PsmQlIFN\nsWkhO37cXvssnjzYSorFM4NHqdZYWFhYWFg8DAqFBD70IT6vVlntGI3o9GUS4adJyvY2Xb1MyGMo\nxGpIrRYQkWqV76XTHDcaZZUlFgtCII0W5X3vA7LZxMEdAAuLh4StpFhYWFhYWFhYPCZEoy5Onw7a\nvJQikXCcwIHLdQPxe7/PqkkyCZw8GZASUx2Rkusae2HzN5Fg5aTTYaUlFCJZOXuW+2Bh8aTB/qu1\nsLCwsLCwsHiMOH1aYmlJodEgoXBdkhPPI6FoNtneZbJQolG+t7lJUtJssqVLKZKSQoHVFqX46Pe5\nnO8zBNIk0R8/Dhw9etDf3sLi4WDbvSwsLCwsLCwsHiMKhQX80i+RbHQ6rHJIGWSb9HqsjpRKbNMy\n4ndTJVlYCCopiQQJiuexvSuRoEje8/h3e5valdGI2ShLS6mD/voWFg8FS1IsLCwsLCwsLB4zVlaY\nFg9Q8D4asaKyvR1UUGo1vgewdSuVYmtYOEyC4rokIOEw8PzzQZq9Ec4PBqyqFArAuXPA+fNWMG/x\n5MKSFAsLCwsLCwuLx4y1tRT+/b9n5cPoTqJREpF0mu1e7TbJSK9HItPrBeTDaE62tzne228Hbl+m\nVazf5/JKAWfOAMvLVjBv8eTCkhQLCwsLCwsLi8cMKQWWlljlyGQCG+LBgNqTZJKZKIMBW7tSKVZb\nhGAbmOMEDl6hEMlKOh3kpRQKrKoArKy8611WMG/xZMOSFAsLCwsLCwuLdwDHjqXw4Q+TiPg+dSSe\nR8LS7/ORTLItLJcjGTGVkmqV66XTgU7FaFFKJRKawYAtYe99L/Dcc9GD/roWFo8ES7EtLCwsLCws\nLN4BSCmQyVAUf+UKKyMrK6yS3LjBiggQWAprzbyUwYDLmlwUI7Sv1+nmNRiw/SuRALJZVlFSqciB\nfU8Li/2AJSkWFhYWFhYWFu8QXnwxDaCJ//gfgXIZ+Kmfuok3/v/27j0mqqtrA/hzhjrIiFzKdQQU\nBBQFrQgIUlvRCoICJampSoB6iaQa5aI2VooXqvHV1pi0aTDaWku8VIzVNlEQbTQgMK0KTOsFVJQI\nVhmqoggv3mB9f/AxrwOICCOHOaxfQmrP7DlZTw+u6Z49+8zl87CyavloF9AyIZHJ/vcxr9a7fBkZ\ntTzu6Pi/8xkZASNG+OLHHx0xeDDg6QmMGiXv9VyM6RtPUhhjjDHGepGDQ8udtx49AtRqBQ4fTkdR\n0dluncvX1x9z5hyAuTmgVLZ8w7yFhYmeK2as9/GeFMYYY4yxXjR0qDnefbflo14lJW9j3ryUbp9r\nwYIUnD1rCZkMCAsDfH3N9VgpY+LhSQpjjDHGWC975x0FvLxa9pHcvTsWPj4TXvscPj7+ePhwLIyM\ngHHjACenN1AoYyLhSQpjjDHJSU9Ph4uLC0xMTODr64v8/HyxS2JMh0IxAD4+LR/RevCge6sp8+al\n4OJFSzg7AxMmAI6OvIrCpIMnKYwxxiQlMzMTSUlJSE1NhVqtRmBgIMLCwlBVVSV2aYzpGDfOHJGR\nLXf7evx4LMaP7/pqio+PP/7737GwsQEiIlo35DMmHTxJYYwxJinbtm3D/PnzsXDhQowcORLffvst\nlEoltm/fLnZpjLUzcaI5Jk8GamvfxoIFXV9NWbAgBRqNJT7+mCcoTJp4ksIYY0wynj59iuLiYoSE\nhOgcDwkJQWFhoUhVMda5iRPNER4OyOVdW03x8fGHTDYWs2bxBIVJF9+CmDHGmGTcvXsXTU1NsLOz\n0zlua2uL6urqDp9z/vz53ihNNFLPB0gj44ABgJcX8OmnKYiPj+p0bEJCCtzd72LAgLuQQHQtKVzH\nV5FyRnd3d72ej1dSGGOMMcb6gAEDgDFjlPDz83vpmAkTJmDECCUGDOjFwhgTAa+kMMYYkwxra2sY\nGRlBo9HoHNdoNFAqlR0+x9fXtzdK63Wt79hKNR8gzYxEhLVr1yIiIqLDx9euXQt/f18IrV9PLwFS\nvI5t9YeMDx8+1Ov5eCWFMcaYZMjlcvj4+ODEiRM6x0+ePInAwECRqmKs6wRBgK+vLyZMaL83xd/f\nH76+0pqgMPYyPElhjDEmKcuXL8dPP/2EXbt2obS0FImJiaiursann34qdmmMdYmdnR3WrFnT7via\nNWtga2srQkWM9T7+uBdjjDFJ+fjjj3Hv3j1s3LgRd+7cwZgxY5CVlQUn/jpuZiBeXE05e/YsAF5F\nYf0Pr6QwxhiTnMWLF6OiogKPHz/GuXPnMGnSJLFLYuy1tF1N4VUU1t/wSgpjjDHGWB/Tupri5+en\n/TOvorD+RG8rKYsWLYKbmxsUCgVsbW0RFRWF0tJSnTG1tbWIjY2FhYUFLCwsEBcXp/c7ATDGGGOM\nSYGdnR1WrlyJlStX8ioK63f0Nknx8/NDRkYGysrKkJOTAyLCtGnT8Pz5c+2Y6OhoqNVq5OTk4Pjx\n4yguLkZsbKy+SmCMMcYYkwxBEDBs2DAMHTqUV1FYv6O3j3vFx8dr/zx06FBs2LAB48aNQ0VFBdzd\n3VFaWoqcnBwUFBTA398fALBjxw689957uHr1KkaMGKGvUhhjjDHGJMHIyEjsEhgTxRvZON/Q0IDd\nu3fD3d0dLi4uAACVSgVTU1NMnDhROy4wMBCDBg2CSqV6E2UwxhhjjDHGDJBARKSvk6Wnp2PVqlVo\naGiAq6srsrOz4ebmBgDYtGkTdu3ahevXr+s8x9XVFfHx8Vi1apX2GO9TYYyxN8fc3FzsEkTHrzOM\nMfbm6ON1ptOVlNTUVMhksk5/8vLytONjYmKgVquRm5uL0aNHIywsDI8ePepxkYwxxhhjjLH+o9M9\nKcnJyYiLi+v0BKZLWuUAAAyoSURBVC9+OZaZmRnMzMzg6uqKgIAAWFpa4siRI4iLi4O9vT3+/fdf\nnecSEWpqamBvb9+DCIwxxhhjjDEp6XSSYmVlBSsrq26duLm5GUSEpqYmAMDEiRNRX18PlUql3Zei\nUqnQ0NCAwMBAnefyRxEYY4y9Sfw6wxhjfZte9qRcv34dhw4dQnBwMKytrXHr1i1s3rwZBQUFKCsr\ng42NDQBgxowZuHXrFnbu3AkiQnx8PIYPH47ffvutx0EYY4wxxhhj0qCXu3sZGxsjNzcXYWFhcHd3\nx5w5c2Bubg6VSqWdoADA/v378c4772D69OkIDQ2Ft7c39uzZo48SGGOMMcYYYxKh17t7McYYY4wx\nxlhPvZHvSelrFi1aBDc3NygUCtja2iIqKgqlpaU6Y2praxEbGwsLCwtYWFggLi7OIG9RWVtbi2XL\nlmHUqFFQKBQYOnQolixZgvv377cbJ4W8ALBz505MmTIFFhYWkMlkqKysbDdGSnnT09Ph4uICExMT\n+Pr6Ij8/X+yS9CIvLw+RkZFwdHSETCZDRkZGuzHr16+Hg4MDFAoFpkyZgsuXL4tQqX785z//gZ+f\nH8zNzWFra4vIyEhcunSp3TgpZRZDV/qDs7NzuztXpqSk6IyprKxEREQETE1NYWNjg8TERDx79qy3\nYnRKXz2wL2fsSFBQULvrFh0drTNGCr1fKj1//fr17a7XkCFD2o0xpH6nj9etJ0+eYNmyZbCxsYGp\nqSk+/PBD/PPPP70V4ZVelXHevHntrmvbvebdzdgvJil+fn7IyMhAWVkZcnJyQESYNm0anj9/rh0T\nHR0NtVqNnJwcHD9+HMXFxYiNjRWx6u65ffs2bt++ja+//hoXL17E3r17kZeXh7lz5+qMk0peAGhs\nbERoaCjS0tJeOkYqeTMzM5GUlITU1FSo1WoEBgYiLCwMVVVVYpfWYw0NDRg7diy++eYbmJiYQBAE\nnce3bNmCbdu24bvvvsO5c+dga2uL4OBg1NfXi1Rxz+Tm5mLp0qVQqVQ4deoU3nrrLUybNg21tbXa\nMVLLLIau9AdBELBu3TpUV1drf7744gvt401NTZg5cyYaGhqQn5+Pn3/+GYcOHcKKFSt6I8Ir6aMH\n9vWMHREEAQsWLNC5bjt27NAZY+i9X2o938PDQ+d6XbhwQfuYIfY7fbxuJSUl4fDhwzhw4ADOnDmD\nuro6hIeHo7m5ubfjdOhVGQVBQHBwsM51zcrK0hnT7YzUD/31118kCAJdvXqViIguX75MgiBQYWGh\ndkx+fj4JgkBXrlwRq0y9ycrKIplMRo8ePSIi6eY9d+4cCYJAN2/e1DkupbwTJkyg+Ph4nWPu7u60\nevVqkSp6M0xNTSkjI0P7783NzWRvb0+bNm3SHmtsbKTBgwfTjh07xChR7+rr68nIyIiOHj1KRP0j\nc296WX8gInJ2dqatW7e+9LmtPfTWrVvaY3v37qWBAwdq+2pf0J0e2Po6aCgZXxQUFERLly596eNS\n6P1S6vnr1q0jLy+vDh+TQr/rzuvWgwcPSC6X0/79+7VjqqqqSCaTUU5OTu8V30VtMxIRffLJJxQe\nHv7S5/QkY79YSXlRQ0MDdu/eDXd3d7i4uABouRWyqamp9tbIABAYGIhBgwZBpVKJVarePHz4EMbG\nxlAoFACkn7ctqeR9+vQpiouLERISonM8JCQEhYWFIlXVOyoqKqDRaHSyDxw4EO+//75kstfV1aG5\nuRmWlpYA+kfmvmTr1q2wtraGt7c3Nm3apPMxJ5VKhdGjR8PBwUF7LCQkBE+ePEFRUZEY5b6Wznpg\n6++SoWY8cOAAbGxs4OXlhc8++0znHWpD7/1S7Pk3btyAg4MDhg8fjrlz56KiogKANPtdVzIVFRXh\n2bNnOmMcHR0xatQog8ktCALy8/NhZ2eHkSNHIj4+Xud7EXuSsdPvSZGS9PR0rFq1Cg0NDXB1dUV2\ndjbeeqslfnV1tc5dyICW/+i2traorq4Wo1y9efDgAdasWYP4+HjIZC1zUinn7YhU8t69exdNTU2w\ns7PTOW5oObqjNV9H2W/fvi1GSXqXmJgIb29v7f9Q9YfMfUVCQgLGjx8PKysr/Pnnn/j8889RUVGB\n77//HkDLtWh7HaytrWFkZGQQf/e60gMNMWN0dDScnZ0xZMgQXLx4EatXr8bff/+NnJwcAIbf+6XW\n8wMCApCRkQEPDw9oNBps3LgRgYGBuHTpkiT7XVcyVVdXw8jIqN13EtrZ2UGj0fROoT0UGhqKjz76\nCC4uLqioqEBqaiqmTp2KoqIiyOXyHmU02JWU1NTUdht12v7k5eVpx8fExECtViM3NxejR49GWFgY\nHj16JGKC1/O6eQGgvr4eERERcHJywldffSVS5d3Tnbysf2r7+VhDtHz5chQWFuKXX37pUh4pZO4J\nffeH5ORkTJ48GV5eXli4cCG2b9+OXbt26ewPol6+EaYYPbC3M3bkdXIvWrQIwcHB8PT0xOzZs3Hw\n4EGcPHkSarVa5BSsI6GhoZg1axa8vLzwwQcf4NixY2hubu5ws/mLpNjvpJRp9uzZCA8Ph6enJ8LD\nw5GdnY0rV67g2LFjPT63wa6kJCcnIy4urtMxTk5O2j+bmZnBzMwMrq6uCAgIgKWlJY4cOYK4uDjY\n29vrLE0BLc26pqYG9vb2b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"text": [ - "" + "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ - "Difference in mean x=-0.002, y=43.007\n" + "Difference in mean x=0.023, y=43.344\n" ] } ], - "prompt_number": 6 + "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This plot shows the strong nonlinearity that occurs with this function, and the large error that would result if we linearized the function at (0,0). We would reasonably expect an EKF to diverge rapidly with this function." - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Choosing Sigma Points (continued)" + "This plot shows the strong nonlinearity that occurs with this function, and the large error that would result if we linearized the function at (0,0)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "In the chart above we used 5,000 points to generate this solution. While the answer is quite accurate, computing 5,000 points for every update would cause our filter to be very slow. So, what would be fewest number of sampled points that we can use, and what kinds of constraints does this problem formulation put on the points? We will assume that we have no special knowledge about the nonlinear function as we want to find a generalized algorithm that works for any function. For reasons that come clear in the next section, we will call these points *sigma points*.\n", + "We used 5,000 points to generate this solution. While the computed mean is quite accurate, computing 5,000 points for every update would cause our filter to be very slow. So, what would be fewest number of sampled points that we can use, and what kinds of constraints does this problem formulation put on the points? We will assume that we have no special knowledge about the nonlinear function as we want to find a generalized algorithm that works for any function. For reasons that come clear in the next section, we will call these points *sigma points*.\n", "\n", "Let's consider the simplest possible case and see if it offers any insight. The simplest possible system is *identity* - the transformation does not alter the input. In mathematical notation this is just $f(x) = x$. It should be clear that if our algorithm does not work for the identity function then the filter will never converge. In other words, if the input is 1 (for a one dimensional system), the output must also be 1. If the output was different, such as 1.1, then when we fed 1.1 into the transform at the next time step, we'd get out yet another number, maybe 1.23. The filter would run away (diverge). \n", "\n", @@ -625,7 +534,7 @@ "source": [ "Note that while I chose the points to lie along the major and minor axis of the ellipse, nothing in the constraints above require me to do that; however, it is fairly typical to do this. Furthermore, in each case I show the points evenly spaced; again, the constraints above do not require that. However, the technique that we develop in the next section *does* do this. It is a reasonable choice, after all; if we want to accurately sample our input it makes sense to sample in a symmetric manner.\n", "\n", - "There are many published ways for selecting the sigma points. For now I will stick with the original implementation by Julier and Uhlmann [2]. This method defines a constant kappa ($\\kappa$) which controls how spread out the sigma points are. Before we work through the derivation, let's just look at some examples. I will use the class UnscentedKalmanFilter from FilterPy to generate the sigma points for us. It is convention to write\n", + "There are several published ways for selecting the sigma points. For now I will stick with the original implementation by Julier and Uhlmann [2]. This method defines a constant kappa ($\\kappa$) which controls how spread out the sigma points are. Before we work through the derivation, let's just look at some examples. I will use the class UnscentedKalmanFilter from FilterPy to generate the sigma points for us. It is convention to write\n", "\n", " import UnscentedKalmanFilter as UKF\n", " \n", diff --git a/code/nonlinear_plots.py b/code/nonlinear_plots.py index b277cf6..ee67bc1 100644 --- a/code/nonlinear_plots.py +++ b/code/nonlinear_plots.py @@ -8,7 +8,6 @@ Created on Sun May 18 11:09:23 2014 from __future__ import division import numpy as np import matplotlib.pyplot as plt -from numpy.random import normal def plot_transfer_func(data, f, lims,num_bins=1000): @@ -16,11 +15,13 @@ def plot_transfer_func(data, f, lims,num_bins=1000): #plot output plt.subplot(2,2,1) - plt.hist(ys, num_bins, orientation='horizontal',histtype='step') + plt.hist(ys, num_bins, orientation='horizontal', histtype='step', lw=3) plt.ylim(lims) plt.gca().xaxis.set_ticklabels([]) plt.title('output') + plt.axhline(np.mean(ys), ls='--', lw=2) + # plot transfer function plt.subplot(2,2,2) x = np.arange(lims[0], lims[1],0.1) @@ -34,9 +35,23 @@ def plot_transfer_func(data, f, lims,num_bins=1000): # plot input plt.subplot(2,2,4) - plt.hist(data, num_bins, histtype='step') + plt.hist(data, num_bins, histtype='step', lw=3) plt.xlim(lims) plt.gca().yaxis.set_ticklabels([]) plt.title('input') plt.show() + + + +if __name__ == "__main__": + from numpy.random import normal + import numpy as np + + data = normal(loc=0.0, scale=1, size=500000) + + def g(x): + return (np.cos(4*(x/2+0.7)))*np.sin(0.3*x)-1.6*x + + + plot_transfer_func (data, g, lims=(-3,3), num_bins=300) \ No newline at end of file