{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[Table of Contents](./table_of_contents.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Multivariate Kalman Filters\n", "\n", "Filtering Multiple Random Variables" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from __future__ import division, print_function\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#format the book\n", "import book_format\n", "book_format.set_style()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are now ready to study and implement the full, multivariate form of the Kalman filter. In the last chapter we learned how multivariate Gaussians express the correlation between multiple random variables, such as the position and velocity of an aircraft. We also learned how correlation between variables drastically improves the posterior. If we only roughly know position and velocity, but they are correlated, then our new estimate can be very accurate.\n", "\n", "I prefer that you develop an intuition for how these filters work through several worked examples. I'm going to gloss over many issues. Some things I show you will only work for special cases, others will be 'magical' - it will not be clear how I derived a certain result. If I started with rigorous, generalized equations you would be left scratching your head about what all these terms mean and how you might apply them to your problem. In later chapters I will provide a more rigorous mathematical foundation, and at that time I will have to either correct approximations that I made in this chapter or provide additional information that I did not cover here. \n", "\n", "To make this possible we will restrict ourselves to a subset of problems which we can describe with Newton's equations of motion. These filters are called *discretized continuous-time kinematic filters*. In the **Kalman Filter Math** chapter we will develop the math for non-Newtonian systems. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Newton's Equations of Motion\n", "\n", "Newton's equations of motion tells us that given a constant velocity $v$ of a system we can compute its position $x$ after time $t$ with:\n", "\n", "$$x = vt + x_0$$\n", "\n", "For example, if we start at position 13, our velocity is 10 m/s, and we travel for 12 seconds our final position is 133 ($10\\times 12 + 13$).\n", "\n", "We can incorporate constant acceleration with this equation\n", "\n", "$$x = \\frac{1}{2}at^2 + v_0t + x_0$$\n", "\n", "And if we assume constant jerk we get\n", "\n", "$$x = \\frac{1}{6}jt^3 + \\frac{1}{2}a_0 t^2 + v_0 t + x_0$$\n", "\n", "These equations were generated by integrating a differential equation. Given a constant velocity v we can compute the distance traveled over time with the equation\n", "\n", "$$x = vt + x_0$$\n", "\n", "which we can derive with\n", "\n", "$$\\begin{aligned} v &= \\frac{dx}{dt}\\\\\n", "dx &= v\\, dt \\\\\n", "\\int_{x_0}^x\\, dx &= \\int_0^t v\\, dt\\\\\n", "x - x_0 &= vt - 0\\\\\n", "x &= vt + x_0\\end{aligned}$$\n", "\n", "\n", "When you design a Kalman filter you start with a system of differential equations that describe the dynamics of the system. Most systems of differential equations do not easily integrate in this way. We start with Newton's equation because we can integrate and get a closed form solution, which makes the Kalman filter easier to design. An added benefit is that Newton's equations are the right equations to use to track moving objects, one of the main uses of Kalman filters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Kalman Filter Algorithm\n", "\n", "The algorithm is the same Bayesian filter algorithm that we have used in every chapter. The update step is slightly more complicated, but I will explain why when we get to it.\n", "\n", "**Initialization**\n", "\n", " 1. Initialize the state of the filter\n", " 2. Initialize our belief in the state\n", " \n", "**Predict**\n", "\n", " 1. Use process model to predict state at the next time step\n", " 2. Adjust belief to account for the uncertainty in prediction \n", "**Update**\n", "\n", " 1. Get a measurement and associated belief about its accuracy\n", " 2. Compute residual between estimated state and measurement\n", " 3. Compute scaling factor based on whether the measurement\n", " or prediction is more accurate\n", " 4. set state between the prediction and measurement based \n", " on scaling factor\n", " 5. update belief in the state based on how certain we are \n", " in the measurement\n", " \n", "As a reminder, here is a graphical depiction of the algorithm:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import kf_book.book_plots as book_plots\n", "book_plots.show_residual_chart()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The univariate Kalman filter represented the state with a univariate Gaussian. Naturally the multivariate Kalman filter will use a multivariate Gaussian for the state. We learned in the last chapter that multivariate Gaussians use a vector for the mean and a matrix for the covariances. That means that the Kalman filter needs to use linear algebra to perform the estimations.\n", "\n", "I don't want you to memorize these equations, but I have listed the univariate and multivariate equations below. They are quite similar.\n", "\n", "**Predict**\n", "\n", "$\\begin{array}{|l|l|l|}\n", "\\hline\n", "\\text{Univariate} & \\text{Univariate} & \\text{Multivariate}\\\\\n", "& \\text{(Kalman form)} & \\\\\n", "\\hline\n", "\\bar \\mu = \\mu + \\mu_{f_x} & \\bar x = x + dx & \\bar{\\mathbf x} = \\mathbf{Fx} + \\mathbf{Bu}\\\\\n", "\\bar\\sigma^2 = \\sigma_x^2 + \\sigma_{f_x}^2 & \\bar P = P + Q & \\bar{\\mathbf P} = \\mathbf{FPF}^\\mathsf T + \\mathbf Q \\\\\n", "\\hline\n", "\\end{array}$\n", "\n", "Without worrying about the specifics of the linear algebra, we can see that:\n", "\n", "$\\mathbf x,\\, \\mathbf P$ are the state mean and covariance. They correspond to $x$ and $\\sigma^2$.\n", "\n", "$\\mathbf F$ is the *state transition function*. When multiplied by $\\bf x$ it computes the prior. \n", "\n", "$\\mathbf Q$ is the process covariance. It corresponds to $\\sigma^2_{f_x}$.\n", "\n", "$\\mathbf B$ and $\\mathbf u$ are new to us. They let us model control inputs to the system.\n", "\n", "**Update**\n", "\n", "$\\begin{array}{|l|l|l|}\n", "\\hline\n", "\\text{Univariate} & \\text{Univariate} & \\text{Multivariate}\\\\\n", "& \\text{(Kalman form)} & \\\\\n", "\\hline\n", "& y = z - \\bar x & \\mathbf y = \\mathbf z - \\mathbf{H\\bar x} \\\\\n", "& K = \\frac{\\bar P}{\\bar P+R}&\n", "\\mathbf K = \\mathbf{\\bar{P}H}^\\mathsf T (\\mathbf{H\\bar{P}H}^\\mathsf T + \\mathbf R)^{-1} \\\\\n", "\\mu=\\frac{\\bar\\sigma^2\\, \\mu_z + \\sigma_z^2 \\, \\bar\\mu} {\\bar\\sigma^2 + \\sigma_z^2} & x = \\bar x + Ky & \\mathbf x = \\bar{\\mathbf x} + \\mathbf{Ky} \\\\\n", "\\sigma^2 = \\frac{\\sigma_1^2\\sigma_2^2}{\\sigma_1^2+\\sigma_2^2} & P = (1-K)\\bar P &\n", "\\mathbf P = (\\mathbf I - \\mathbf{KH})\\mathbf{\\bar{P}} \\\\\n", "\\hline\n", "\\end{array}$\n", "\n", "$\\mathbf H$ is the measurement function. We haven't seen this yet in this book and I'll explain it later. If you mentally remove $\\mathbf H$ from the equations, you should be able to see these equations are similar as well.\n", "\n", "$\\mathbf z,\\, \\mathbf R$ are the measurement mean and noise covariance. They correspond to $z$ and $\\sigma_z^2$ in the univariate filter (I've substituted $\\mu$ with $x$ for the univariate equations to make the notation as similar as possible).\n", "\n", "$\\mathbf y$ and $\\mathbf K$ are the residual and Kalman gain. \n", "\n", "The details will be different than the univariate filter because these are vectors and matrices, but the concepts are exactly the same: \n", "\n", "- Use a Gaussian to represent our estimate of the state and error\n", "- Use a Gaussian to represent the measurement and its error\n", "- Use a Gaussian to represent the process model\n", "- Use the process model to predict the next state (the prior)\n", "- Form an estimate part way between the measurement and the prior\n", "\n", "Your job as a designer will be to design the state $\\left(\\mathbf x, \\mathbf P\\right)$, the process $\\left(\\mathbf F, \\mathbf Q\\right)$, the measurement $\\left(\\mathbf z, \\mathbf R\\right)$, and the measurement function $\\mathbf H$. If the system has control inputs, such as a robot, you will also design $\\mathbf B$ and $\\mathbf u$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I have programmed the equations of the Kalman filter into the `predict` and `update` functions in FilterPy. You will import them with:\n", "\n", "```python\n", "from filterpy.kalman import predict, update\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tracking a Dog\n", "\n", "Let's go back to our tried and true problem of tracking a dog. This time we will include the fundamental insight of the previous chapter and use *hidden variables* to improve our estimates. I could start with the math, but instead let's implement a filter, learning as we go. On the surface the math is different and perhaps more complicated than the previous chapters, but the ideas are all the same - we are just multiplying and adding Gaussians.\n", "\n", "We start by writing a simulation for the dog. The simulation will run for `count` steps, moving the dog forward approximately 1 meter for each step. At each step the velocity will vary according to the process variance `process_var`. After updating the position we compute a measurement with an assumed sensor variance of `z_var`. The function returns an NumPy array of the positions and another of the measurements." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import math\n", "import numpy as np\n", "from numpy.random import randn\n", "\n", "def compute_dog_data(z_var, process_var, count=1, dt=1.):\n", " \"returns track, measurements 1D ndarrays\"\n", " x, vel = 0., 1.\n", " z_std = math.sqrt(z_var) \n", " p_std = math.sqrt(process_var)\n", " xs, zs = [], []\n", " for _ in range(count):\n", " v = vel + (randn() * p_std)\n", " x += v*dt \n", " xs.append(x)\n", " zs.append(x + randn() * z_std) \n", " return np.array(xs), np.array(zs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Predict Step\n", "\n", "For the prediction we need to design the state and covariance, the process model and the process noise, and optionally the control input. We'll take them in order." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Design State Variable\n", "\n", "We previously tracked a dog in one dimension by using a Gaussian. The mean $(\\mu)$ represented the most likely position, and the variance ($\\sigma^2$) represented the probability distribution of the position. The position is the *state* of the system, and we call $\\mu$ the *state variable*. \n", "\n", "In this problem we will be tracking both the position and velocity of the dog. This requires us to use a multivariate Gaussian represented with the state vector $\\mathbf x$ and its corresponding covariance matrix $\\mathbf P$. \n", "\n", "State variables can either be *observed variables* - directly measured by a sensor, or *hidden variables* - inferred from the observed variables. For our dog tracking problem the sensor only reads position, so position is observed and velocity is hidden. We will learn how to track hidden variables soon.\n", "\n", "It is important to understand that tracking position and velocity is a design choice with implications and assumptions that we are not yet prepared to explore. For example, we could also track acceleration, or even jerk. For now, recall that in the last chapter we showed that including velocity in the covariance matrix resulted in much smaller variances in position. We will learn how the Kalman filter computes estimates for hidden variables later in this chapter. \n", "\n", "In the univariate chapter we represented the dog's position with a scalar value (e.g. $\\mu=3.27$). In the last chapter we learned to use a multivariate Gaussian for multiple variables. For example, if we wanted to specify a position of 10.0 m and a velocity of 4.5 m/s, we would write:\n", "\n", "$$\\mu = \\begin{bmatrix}10.0\\\\4.5\\end{bmatrix}$$\n", "\n", "The Kalman filter is implemented using linear algebra. We use an $n\\times 1$ matrix (called a *vector*) to store $n$ state variables. For the dog tracking problem, we use $x$ to denote position, and the first derivative of $x$, $\\dot x$, for velocity. I use Newton's dot notation for derivatives; $\\dot x$ represents the first derivative of x with respect to t: $\\dot x = \\frac{dx}{dt}$. Kalman filter equations use $\\mathbf x$ for the state, so we define $\\mathbf x$ as:\n", "\n", "$$\\mathbf x =\\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}$$\n", "\n", "We use $\\mathbf x$ instead of $\\mu$, but recognize this is the mean of the multivariate Gaussian.\n", "\n", "Another way to write this is $\\mathbf x =\\begin{bmatrix}x & \\dot x\\end{bmatrix}^\\mathsf T$ because the transpose of a row vector is a column vector. This notation is easier to use in text because it takes less vertical space.\n", "\n", "$\\mathbf x$ and the position $x$ coincidentally have the same name. If we were tracking the dog in the y-axis we would write $\\mathbf x =\\begin{bmatrix}y & \\dot y\\end{bmatrix}^\\mathsf T$, not $\\mathbf y =\\begin{bmatrix}y & \\dot y\\end{bmatrix}^\\mathsf T$. $\\mathbf x$ is the standard name for the state variable used in the Kalman filter literature and we will not vary it to give it a more meaningful name. This consistency in naming allows us to communicate with our peers.\n", "\n", "Let's code this. Initialization of `x` is as simple as" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[10. ],\n", " [ 4.5]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.array([[10.0],\n", " [4.5]])\n", "x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I often use the transpose in my code to turn a row matrix into a column vector, as I find it easier to type and read:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[10. ],\n", " [ 4.5]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.array([[10., 4.5]]).T\n", "x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, NumPy recognizes 1D arrays as vectors, so I can simplify this line to use a 1D array." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([10. , 4.5])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.array([10.0, 4.5])\n", "x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of the array elements have the same type, typically either `float` or `int`. If the list contains all `int`s then the created array will also have a data type of `int`, otherwise it will be `float`. I will often take advantage of this by only specifying one number as a floating point:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1., 0., 0., 0., 0., 0.])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array([1., 0, 0, 0, 0, 0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are some examples." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[19.]\n", " [48.]]\n", "\n" ] } ], "source": [ "A = np.array([[1, 2], [3, 4]])\n", "x = np.array([[10.0], [4.5]])\n", "\n", "# matrix multiply\n", "print(np.dot(A, x))\n", "print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In Python 3.5+ we have the matrix multiplier @, where `np.dot(A, B) == A @ B`. It is somewhat less useful then you might realize because it requires both `A` and `B` to be arrays. It is entirely valid in the math in this book for some of these variables to be scalars, therefore the utility of `@` is often lost. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true, "tags": [ "raises-exception" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[19.]\n", " [48.]]\n", "\n", "[[19.]\n", " [48.]]\n", "\n", "[19. 48.]\n" ] } ], "source": [ "# alternative matrix multiply)\n", "print(A @ x)\n", "print()\n", "\n", "x = np.array([[10.0, 4.5]]).T\n", "print(A @ x)\n", "print()\n", "\n", "x = np.array([10.0, 4.5])\n", "print(A @ x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The last returns a 1D array, but I have written the Kalman filter class to be able to handle this. In retrospect that might lead to confusion, but it does work. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Design State Covariance\n", "\n", "The other half of the state Gaussian is the covariance matrix $\\mathbf P$. In the univariate Kalman filter we specified an initial value for $\\sigma^2$, and then the filter took care of updating its value as measurements were added to the filter. The same thing happens in the multidimensional Kalman filter. We specify an initial value for $\\mathbf P$ and the filter updates it during each epoch.\n", "\n", "We need to set the variances to reasonable values. For example, we may choose $\\sigma_\\mathtt{pos}^2=500 m^2$ if we are quite uncertain about the initial position. Top speed for a dog is around 21 m/s, so in the absence of any other information about the velocity we can set $3\\sigma_\\mathtt{vel}=21$, or $\\sigma_\\mathtt{vel}^2=7^2=49$. \n", "\n", "In the last chapter we showed that the position and velocities are correlated. But how correlated are they for a dog? I have no idea. As we will see the filter computes this for us, so I initialize the covariances to zero. Of course, if you know the covariances you should use them.\n", "\n", "Recall that the diagonals of the covariance matrix contains the variance of each variable, and the off-diagonal elements contains the covariances. Thus we have:\n", "\n", "$$\n", "\\mathbf P = \\begin{bmatrix}500 & 0 \\\\ 0&49\\end{bmatrix}\n", "$$\n", "\n", "We can use `numpy.diag`, which creates a diagonal matrix from the values for the diagonal. Recall from linear algebra that a diagonal matrix is one with zeros in the off-diagonal elements." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[500., 0.],\n", " [ 0., 49.]])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P = np.diag([500., 49.])\n", "P" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I could have written:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[500., 0.],\n", " [ 0., 49.]])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P = np.array([[500., 0.],\n", " [0., 49.]])\n", "P" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are done. We've expressed the state of the filter as a multivariate Gaussian and implemented it in code." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Design the Process Model\n", "\n", "The next step is designing the *process model*. It is a mathematical model which describes the behavior of the system. The filter uses it to predict the state after a discrete time step. We do this with a set of equations that describe the dynamics of the system.\n", "\n", "In the univariate chapter we modeled the dog's motion with\n", "\n", "$$ x = v \\Delta t + x_0$$\n", "\n", "We implemented this as follows:\n", "\n", "```python\n", "def predict(pos, movement):\n", " return gaussian(pos.mean + movement.mean, \n", " pos.var + movement.var)\n", "```\n", "\n", "We will do the same thing in this chapter, using multivariate Gaussians instead of univariate Gaussians. You might imagine this sort of implementation:\n", "\n", "$$ \\mathbf x = \\begin{bmatrix}5.4\\\\4.2\\end{bmatrix}, \\, \\, \n", "\\dot{\\mathbf x} = \\begin{bmatrix}1.1\\\\0.\\end{bmatrix} \\\\\n", "\\mathbf x = \\dot{\\mathbf x}t + \\mathbf x$$\n", "\n", "But we need to generalize this. The Kalman filter equations work with any linear system, not just Newtonian ones. Maybe the system you are filtering is the plumbing system in a chemical plant, and the flow in a given pipe is determined by a linear combination of the settings of different valves. \n", "\n", "$$\\mathtt{pipe_1} = 0.134(\\mathtt{valve}_1) + 0.41(\\mathtt{valve}_2 - \\mathtt{valve}_3) + 1.34$$\n", "$$\\mathtt{pipe_2} = 0.210(\\mathtt{valve}_2) - 0.62(\\mathtt{valve}_1 - \\mathtt{valve}_5) + 1.86$$\n", "\n", "Linear algebra has a powerful way to express systems of equations. Take this system\n", "\n", "$$\\begin{cases}\n", "2x+3y=8\\\\4x-y=2\n", "\\end{cases}$$\n", "\n", "We can put this in matrix form by writing:\n", "\n", "$$\\begin{bmatrix}2& 3 \\\\ 4&-1\\end{bmatrix} \\begin{bmatrix}x\\\\y\\end{bmatrix} = \\begin{bmatrix}8\\\\2\\end{bmatrix}$$\n", "\n", "If you perform the [matrix multiplication](https://en.wikipedia.org/wiki/Matrix_multiplication#General_definition_of_the_matrix_product) in this equation the result will be the two equations above. In linear algebra we would write this as $\\mathbf{Ax}=\\mathbf B$, where\n", "\n", "$$\\mathbf{A} = \\begin{bmatrix}2& 3 \\\\ 4&-1\\end{bmatrix},\\, \\mathbf x = \\begin{bmatrix}x\\\\y\\end{bmatrix}, \\mathbf B=\\begin{bmatrix}8\\\\2\\end{bmatrix}$$\n", "\n", "And then we can use the SciPy's `linalg` package to solve for $\\mathbf x$:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1.],\n", " [2.]])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.linalg import solve\n", "A = np.array([[2, 3],[4, -1]])\n", "b = np.array([[8], [2]])\n", "x = solve(A, b)\n", "x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the process model to perform the *innovation*, because the equations tell us what the next state will be given the current state. Kalman filters implement this using this linear equation, where $\\mathbf{\\bar x}$ is the *prior*, or predicted state:\n", "\n", "$$\\mathbf{\\bar x} = \\mathbf{Fx}$$\n", "\n", "which we can make explicit as\n", "\n", "$$\\begin{bmatrix} \\bar x \\\\ \\dot{\\bar x}\\end{bmatrix} = \\begin{bmatrix}? & ? \\\\? & ?\\end{bmatrix}\\begin{bmatrix}x\\\\\\dot x\\end{bmatrix}$$\n", "\n", "Our job as Kalman filters designers is to specify $\\mathbf F$ such that $\\bar{\\mathbf x} = \\mathbf{Fx}$ performs the innovation (prediction) for our system. To do this we need one equation for each state variable. In our problem $\\mathbf x = \\begin{bmatrix}x & \\dot x\\end{bmatrix}^\\mathtt{T}$, so we need one equation to compute the position $x$ and another to compute the velocity $\\dot x$ . We already know the equation for the position innovation:\n", "\n", "$$\\bar x = x + \\dot x \\Delta t$$\n", "\n", "What is our equation for velocity? We have no predictive model for how our dog's velocity will change over time. In this case we assume that it remains constant between innovations. Of course this is not exactly true, but so long as the velocity doesn't change too much over each innovation you will see that the filter performs very well. So we say\n", "\n", "$$\\bar{\\dot x} = \\dot x$$\n", "\n", "This gives us the process model for our system \n", "\n", "$$\\begin{cases}\n", "\\begin{aligned}\n", "\\bar x &= x + \\dot x \\Delta t \\\\\n", "\\bar{\\dot x} &= \\dot x\n", "\\end{aligned}\n", "\\end{cases}$$\n", "\n", "This correctly has one equation for each variable in the state, isolated on the left hand side. We need to express this set of equations in the form $\\bar{\\mathbf x} = \\mathbf{Fx}$. Rearranging terms makes it easier to see what to do.\n", "\n", "$$\\begin{cases}\n", "\\begin{aligned}\n", "\\bar x &= 1x + &\\Delta t\\, \\dot x \\\\\n", "\\bar{\\dot x} &=0x + &1\\, \\dot x\n", "\\end{aligned}\n", "\\end{cases}$$\n", "\n", "We can rewrite this in matrix form as\n", "\n", "$$\\begin{aligned}\n", "\\begin{bmatrix}\\bar x \\\\ \\bar{\\dot x}\\end{bmatrix} &= \\begin{bmatrix}1&\\Delta t \\\\ 0&1\\end{bmatrix} \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}\\\\\n", "\\mathbf{\\bar x} &= \\mathbf{Fx}\n", "\\end{aligned}$$\n", "\n", "$\\mathbf F$ is called the *state transition function* or the *state transition matrix*. In later chapters it will be a true function, not a matrix, so calling it a function is a bit more general." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1. , 0.1],\n", " [0. , 1. ]])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dt = 0.1\n", "F = np.array([[1, dt],\n", " [0, 1]])\n", "F" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's test this! FilterPy has a `predict` method that performs the prediction by computing $\\mathbf{\\bar x} = \\mathbf{Fx}$. Let's call it and see what happens. We've set the position to 10.0 and the velocity to 4.5 meter/sec. We've defined `dt = 0.1`, which means the time step is 0.1 seconds, so we expect the new position to be 10.45 meters after the innovation. The velocity should be unchanged." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x = [10.45 4.5 ]\n" ] } ], "source": [ "from filterpy.kalman import predict\n", "\n", "x = np.array([10.0, 4.5])\n", "P = np.diag([500, 49])\n", "F = np.array([[1, dt], [0, 1]])\n", "\n", "# Q is the process noise\n", "x, P = predict(x=x, P=P, F=F, Q=0)\n", "print('x =', x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This worked. If we call `predict()` several times in a row the value will be updated each time. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x = [10.9 4.5]\n", "x = [11.35 4.5 ]\n", "x = [11.8 4.5]\n", "x = [12.25 4.5 ]\n" ] } ], "source": [ "for _ in range(4):\n", " x, P = predict(x=x, P=P, F=F, Q=0)\n", " print('x =', x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`predict()` computes both the mean and covariance of the innovation. This is the value of $\\mathbf P$ after five innovations (predictions), which we denote $\\mathbf{\\bar P}$ in the Kalman filter equations." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[512.25 24.5 ]\n", " [ 24.5 49. ]]\n" ] } ], "source": [ "print(P)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Inspecting the diagonals shows us that the position variance got larger. We've performed five prediction steps with no measurements, and our uncertainty grew. The off-diagonal elements became non-zero - the Kalman filter detected a correlation between position and velocity! The variance of the velocity did not change.\n", "\n", "Here I plot the covariance before and after the prediction. The initial value is in solid red, and the prior (prediction) is in dashed black. I've altered the covariance and time step to better illustrate the change." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from filterpy.stats import plot_covariance_ellipse\n", "\n", "dt = 0.3\n", "F = np.array([[1, dt], [0, 1]])\n", "x = np.array([10.0, 4.5])\n", "P = np.diag([500, 500])\n", "plot_covariance_ellipse(x, P, edgecolor='r')\n", "x, P = predict(x, P, F, Q=0)\n", "plot_covariance_ellipse(x, P, edgecolor='k', ls='dashed')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see that the center of the ellipse shifted by a small amount (from 10 to 11.35) because the position changed. The ellipse also elongated, showing the correlation between position and velocity. How does the filter compute new values for $\\mathbf{\\bar P}$, and what is it based on? Note that I set the process noise `Q` to zero each time, so it is not due to me adding noise. It's a little to early to discuss this, but recall that in every filter so far the predict step entailed a loss of information. The same is true here. I will give you the details once we have covered a bit more ground." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Design Process Noise\n", "\n", "A quick review on *process noise*. A car is driving along the road with the cruise control on; it should travel at a constant speed. We model this with $\\bar x_k=\\dot x_k\\Delta t + x_{k-1}$. However, it is affected by a number of unknown factors. The cruise control cannot perfectly maintain a constant velocity. Winds affect the car, as do hills and potholes. Passengers roll down windows, changing the drag profile of the car. \n", "\n", "We can model this system with the differential equation\n", "\n", "$$\\dot{\\mathbf x} = f(\\mathbf x) + w$$\n", "\n", "where $f(\\mathbf x)$ models the state transition and $w$ is *white process noise*.\n", "\n", "We will learn how to go from a set of differential equations to the Kalman filter matrices in the **Kalman Filter Math** chapter. In this chapter we take advantage of the fact that Newton already derived the equations of motion for us. For now you just need to know that we account for the noise in the system by adding a process noise covariance matrix $\\mathbf Q$ to the covariance $\\mathbf P$. We do not add anything to $\\mathbf x$ because the noise is *white* - which means that the mean of the noise will be 0. If the mean is 0, $\\mathbf x$ will not change.\n", "\n", "The univariate Kalman filter used `variance = variance + process_noise` to compute the variance for the variance of the prediction step. The multivariate Kalman filter does the same, essentially `P = P + Q`. I say 'essentially' because there are other terms unrelated to noise in the covariance equation that we will see later.\n", "\n", "Deriving the process noise matrix can be quite demanding, and we will put it off until the Kalman math chapter. For now know that $\\mathbf Q$ equals the expected value of the white noise $w$, computed as $\\mathbf Q = \\mathbb E[\\mathbf{ww}^\\mathsf T]$. In this chapter we will focus on building an intuitive understanding on how modifying this matrix alters the behavior of the filter.\n", "\n", "FilterPy provides functions which compute $\\mathbf Q$ for the kinematic problems of this chapter. `Q_discrete_white_noise` takes 3 parameters. `dim`, which specifies the dimension of the matrix, `dt`, which is the time step in seconds, and `var`, the variance in the noise. Briefly, it discretizes the noise over the given time period under assumptions that we will discuss later. This code computes $\\mathbf Q$ for white noise with a variance of 2.35 and a time step of 1 seconds:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0.588 1.175]\n", " [1.175 2.35 ]]\n" ] } ], "source": [ "from filterpy.common import Q_discrete_white_noise\n", "Q = Q_discrete_white_noise(dim=2, dt=1., var=2.35)\n", "print(Q)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Design the Control Function\n", "\n", "The Kalman filter does not just filter data, it allows us to incorporate the control inputs of systems like robots and airplanes. Suppose we are controlling a robot. At each time step we would send steering and velocity signals to the robot based on its current position vs desired position. Kalman filter equations incorporate that knowledge into the filter equations, creating a predicted position based both on current velocity and control inputs to the drive motors. Remember, we *never* throw information away.\n", "\n", "For a linear system the effect of control inputs can be described as a set of linear equations, which we can express with linear algebra as\n", "\n", "$$\\Delta\\mathbf x = \\mathbf{Bu}$$\n", "\n", "Here $\\mathbf u$ is the *control input*, and $\\mathbf B$ is the *control input model* or *control function*. For example, $\\mathbf u$ might be a voltage controlling how fast the wheel's motor turns, and multiplying by $\\mathbf B$ yields $\\Delta[\\begin{smallmatrix}x\\\\\\dot x\\end{smallmatrix}]$. In other words, it must compute how much $\\mathbf x$ changes due to the control input.\n", "\n", "Therefore the complete Kalman filter equation for the prior mean is\n", "\n", "$$\\mathbf{\\bar x} = \\mathbf{Fx} + \\mathbf{Bu}$$\n", "\n", "and this is the equation that is computed when you call `KalmanFilter.predict()`.\n", "\n", "Your dog may be trained to respond to voice commands. All available evidence suggests that my dog has no control inputs whatsoever, so I set $\\mathbf B$ to zero. In Python we write:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x = [12.7 4.5]\n", "P = [[680.587 301.175]\n", " [301.175 502.35 ]]\n" ] } ], "source": [ "B = 0. # my dog doesn't listen to me!\n", "u = 0\n", "x, P = predict(x, P, F, Q, B, u)\n", "print('x =', x)\n", "print('P =', P)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Setting $\\mathbf B$ and $\\mathbf u$ to zero is not necessary since `predict` uses 0 for their default value:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ True, True])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "predict(x, P, F, Q)[0] == predict(x, P, F, Q, B, u)[0]" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ True, True],\n", " [ True, True]])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "predict(x, P, F, Q)[1] == predict(x, P, F, Q, B, u)[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "#### Prediction: Summary\n", "\n", "Your job as a designer is to specify the matrices for\n", "\n", "* $\\mathbf x$, $\\mathbf P$: the state and covariance\n", "* $\\mathbf F$, $\\mathbf Q$: the process model and noise covariance\n", "* $\\mathbf{B,u}$: Optionally, the control input and function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Update Step\n", "\n", "Now we can implement the update step of the filter. You only have to supply two more matrices, and they are easy to understand. \n", "\n", "### Design the Measurement Function\n", "\n", "The Kalman filter computes the update step in what we call *measurement space*. We mostly ignored this issue in the univariate chapter because of the complication it adds. We tracked our dog's position using a sensor that reported his position. Computing the *residual* was easy - subtract the filter's predicted position from the measurement:\n", "\n", "$$ \\mathtt{residual} = \\mathtt{measured\\, \\, position} - \\mathtt{predicted\\, \\, position}$$\n", "\n", "We need to compute the residual because we scale it by the Kalman gain to get the new estimate.\n", "\n", "What would happen if we were trying to track temperature using a thermometer that outputs a voltage corresponding to the temperature reading? The equation for the residual computation would be meaningless; you can't subtract a temperature from a voltage.\n", "\n", "$$ \\mathtt{residual} = \\mathtt{voltage} - \\mathtt{temperature}\\;\\;\\;(NONSENSE!)$$\n", "\n", "\n", "We need to convert the temperature into a voltage so we can perform the subtraction. For the thermometer we might write:\n", "\n", "```python\n", "CELSIUS_TO_VOLTS = 0.21475\n", "residual = voltage - (CELSIUS_TO_VOLTS * predicted_temperature)\n", "```\n", " \n", "The Kalman filter generalizes this problem by having you supply a *measurement function* that converts a state into a measurement. \n", "\n", "Why are we working in measurement space? Why not work in state space by converting the voltage into a temperature, allowing the residual to be a difference in temperature?\n", "\n", "We cannot do that because most measurements are not *invertible*. The state for the tracking problem contains the hidden variable $\\dot x$. There is no way to convert a measurement of position into a state containing velocity. On the other hand, it is trivial to convert a state containing position and velocity into a equivalent \"measurement\" containing only position. We have to work in measurement space to make the computation of the residual possible.\n", "\n", "Both the measurement $\\mathbf z$ and state $\\mathbf x$ are vectors so we need to use a matrix to perform the conversion. The Kalman filter equation that performs this step is:\n", "\n", "$$\\mathbf y = \\mathbf z - \\mathbf{H \\bar x}$$\n", "\n", "where $\\mathbf y$ is the residual, $\\mathbf{\\bar x}$ is the prior, $\\mathbf z$ is the measurement, and $\\mathbf H$ is the measurement function. So we take the prior, convert it to a measurement by multiplying it with $\\mathbf H$, and subtract that from the measurement. This gives us the difference between our prediction and measurement in measurement space!\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to design $\\mathbf H$ so that $\\mathbf{H\\bar x}$ yields a measurement. For this problem we have a sensor that measures position, so $\\mathbf z$ will be a one variable vector:\n", "\n", "$$\\mathbf z = \\begin{bmatrix}z\\end{bmatrix}$$\n", "\n", "The residual equation will have the form\n", "\n", "$$\n", "\\begin{aligned}\n", "\\textbf{y} &= \\mathbf z - \\mathbf{H\\bar x} \\\\\n", "\\begin{bmatrix}y \\end{bmatrix} &= \\begin{bmatrix}z\\end{bmatrix} - \\begin{bmatrix}?&?\\end{bmatrix} \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}\n", "\\end{aligned}\n", "$$\n", "\n", "$\\mathbf H$ has to be a 1x2 matrix for $\\mathbf{Hx}$ to be 1x1. Recall that multiplying matrices $m\\times n$ by $n\\times p$ yields a $m\\times p$ matrix.\n", "\n", "We will want to multiply the position $x$ by 1 to get the corresponding measurement of the position. We do not need to use velocity to find the corresponding measurement so we multiply $\\dot x$ by 0.\n", "\n", "$$\\begin{aligned}\n", "\\textbf{y} &= \\mathbf z - \\begin{bmatrix}1&0\\end{bmatrix} \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix} \\\\\n", "&= [z] - [x]\n", "\\end{aligned}$$\n", "\n", "And so, for our Kalman filter we set\n", "\n", "$$\\mathbf H=\\begin{bmatrix}1&0\\end{bmatrix}$$" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "H = np.array([[1., 0.]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have designed the majority of our Kalman filter. All that is left is to model the noise in the sensors." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Design the Measurement\n", "\n", "The measurement is implemented with $\\mathbf z$, the measurement mean, and $\\mathbf R$, the measurement covariance. \n", "\n", "$\\mathbf z$ is easy. it contains the measurement(s) as a vector. We have only one measurement, so we have:\n", "\n", "$$\\mathbf z = \\begin{bmatrix}z\\end{bmatrix}$$\n", "\n", "If we have two sensors or measurements we'd have:\n", "\n", "$$\\mathbf z = \\begin{bmatrix}z_1 \\\\ z_2\\end{bmatrix}$$\n", "\n", "\n", "The *measurement noise matrix* models the noise in our sensors as a covariance matrix. In practice this can be difficult. A complicated system may have many sensors, the correlation between them might not be clear, and usually their noise is not a pure Gaussian. For example, a sensor might be biased to read high if the temperature is high, and so the noise is not distributed equally on both sides of the mean. We will learn to deal with these problems later.\n", "\n", "The Kalman filter equations uses a covariance matrix $\\mathbf R$ for the measurement noise. The matrix will have dimension $m{\\times}m$, where $m$ is the number of sensors. It is a covariance matrix to account for correlations between the sensors. We have only 1 sensor so R is:\n", "\n", "$$R = \\begin{bmatrix}\\sigma^2_z\\end{bmatrix}$$\n", "\n", "If $\\sigma^2_z$ is 5 meters squared we'd have $R = \\begin{bmatrix}5\\end{bmatrix}$. \n", "\n", "If we had two position sensors, the first with a variance of 5 m$^2$, the second with a variance of 3 m$^2$, we would write\n", "\n", "$$R = \\begin{bmatrix}5&0\\\\0&3\\end{bmatrix}$$\n", "\n", "We put the variances on the diagonal because this is a *covariance* matrix, where the variances lie on the diagonal, and the covariances, if any, lie in the off-diagonal elements. Here we assume there is no correlation in the noise between the two sensors, so the covariances are 0.\n", "\n", "For our problem we only have one sensor, so we can implement this as" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "R = np.array([[5.]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We perform the update by calling `update`. " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x = [ 1.085 -0.64 ]\n" ] } ], "source": [ "from filterpy.kalman import update\n", "z = 1.\n", "x, P = update(x, P, z, R, H)\n", "print('x =', x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Keeping track of all of these variables is burdensome, so FilterPy also implements the filter with the class `KalmanFilter`. I will use the class in the rest of this book, but I wanted you to see the procedural form of these functions since I know some of you are not fans of object oriented programming." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementing the Kalman Filter\n", "\n", "I've given you all of the code for the filter, but now let's collect it in one place. First we construct a `KalmanFilter` object. We have to specify the number of variables in the state with the `dim_x` parameter, and the number of measurements with `dim_z`. We have two random variables in the state and one measurement, so we write:\n", "\n", "```python\n", "from filterpy.kalman import KalmanFilter\n", "dog_filter = KalmanFilter(dim_x=2, dim_z=1)\n", "```\n", "\n", "This creates an object with default values for all the Kalman filter matrices:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x = [[0. 0.]]\n", "R = [[1.]]\n", "Q = \n", " [[1. 0.]\n", " [0. 1.]]\n" ] } ], "source": [ "from filterpy.kalman import KalmanFilter\n", "dog_filter = KalmanFilter(dim_x=2, dim_z=1)\n", "print('x = ', dog_filter.x.T)\n", "print('R = ', dog_filter.R)\n", "print('Q = \\n', dog_filter.Q)\n", "# etc..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we initialize the filter's matrices and vectors with values valid for our problem. I've put this in a function to allow you to specify different initial values for `R`, `P`, and `Q` and put it in a helper function. We will be creating and running many of these filters, and this saves us a lot of headaches." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "from filterpy.kalman import KalmanFilter\n", "from filterpy.common import Q_discrete_white_noise\n", "\n", "def pos_vel_filter(x, P, R, Q=0., dt=1.0):\n", " \"\"\" Returns a KalmanFilter which implements a\n", " constant velocity model for a state [x dx].T\n", " \"\"\"\n", " \n", " kf = KalmanFilter(dim_x=2, dim_z=1)\n", " kf.x = np.array([x[0], x[1]]) # location and velocity\n", " kf.F = np.array([[1., dt],\n", " [0., 1.]]) # state transition matrix\n", " kf.H = np.array([[1., 0]]) # Measurement function\n", " kf.R *= R # measurement uncertainty\n", " if np.isscalar(P):\n", " kf.P *= P # covariance matrix \n", " else:\n", " kf.P[:] = P # [:] makes deep copy\n", " if np.isscalar(Q):\n", " kf.Q = Q_discrete_white_noise(dim=2, dt=dt, var=Q)\n", " else:\n", " kf.Q[:] = Q\n", " return kf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`KalmanFilter` initializes `R`, `P`, and `Q` to the identity matrix, so `kf.P *= P` is one way to quickly assign all of the diagonal elements to the same scalar value. Now we create the filter:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "dt = .1\n", "x = np.array([0., 0.]) \n", "kf = pos_vel_filter(x, P=500, R=5, Q=0.1, dt=dt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can inspect the current values of all attributes of the filter by entering the variable on the command line." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KalmanFilter object\n", "dim_x = 2\n", "dim_z = 1\n", "dim_u = 0\n", "x = [0. 0.]\n", "P = [[500. 0.]\n", " [ 0. 500.]]\n", "x_prior = [[0. 0.]].T\n", "P_prior = [[1. 0.]\n", " [0. 1.]]\n", "x_post = [[0. 0.]].T\n", "P_post = [[1. 0.]\n", " [0. 1.]]\n", "F = [[1. 0.1]\n", " [0. 1. ]]\n", "Q = [[0. 0. ]\n", " [0. 0.001]]\n", "R = [[5.]]\n", "H = [[1. 0.]]\n", "K = [[0. 0.]].T\n", "y = [[0.]]\n", "S = [[0.]]\n", "SI = [[0.]]\n", "M = [[0.]]\n", "B = None\n", "z = [[None]]\n", "log-likelihood = -708.3964185322641\n", "likelihood = 2.2250738585072014e-308\n", "mahalanobis = 0.0\n", "alpha = 1.0\n", "inv = " ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All that is left is to write the code to run the Kalman filter. " ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "from kf_book.mkf_internal import plot_track\n", "\n", "def run(x0=(0.,0.), P=500, R=0, Q=0, dt=1.0, \n", " track=None, zs=None,\n", " count=0, do_plot=True, **kwargs):\n", " \"\"\"\n", " track is the actual position of the dog, zs are the \n", " corresponding measurements. \n", " \"\"\"\n", "\n", " # Simulate dog if no data provided. \n", " if zs is None:\n", " track, zs = compute_dog_data(R, Q, count)\n", "\n", " # create the Kalman filter\n", " kf = pos_vel_filter(x0, R=R, P=P, Q=Q, dt=dt) \n", "\n", " # run the kalman filter and store the results\n", " xs, cov = [], []\n", " for z in zs:\n", " kf.predict()\n", " kf.update(z)\n", " xs.append(kf.x)\n", " cov.append(kf.P)\n", "\n", " xs, cov = np.array(xs), np.array(cov)\n", " if do_plot:\n", " plot_track(xs[:, 0], track, zs, cov, **kwargs)\n", " return xs, cov" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the complete code for the filter, and most of it is boilerplate. I've made it flexible enough to support several uses in this chapter, so it is a bit verbose. Let's work through it line by line. \n", "\n", "The first lines checks to see if you provided it with measurement data in `data`. If not, it creates the data using the `compute_dog_data` function we wrote earlier.\n", "\n", "The next lines uses our helper function to create a Kalman filter.\n", "\n", "```python\n", "# create the Kalman filter\n", " kf = pos_vel_filter(x0, R=R, P=P, Q=Q, dt=dt)\n", "```\n", "\n", "All we need to do is perform the update and predict steps of the Kalman filter for each measurement. The `KalmanFilter` class provides the two methods `update()` and `predict()` for this purpose. `update()` performs the measurement update step of the Kalman filter, and so it takes a variable containing the sensor measurement. \n", "\n", "Absent the work of storing the results, the loop reads:\n", "\n", "```python\n", " for z in zs:\n", " kf.predict()\n", " kf.update(z)\n", "```\n", "\n", "Each call to `predict` and `update` modifies the state variables `x` and `P`. Therefore, after the call to `predict`, `kf.x` contains the prior. After the call to update, `kf.x` contains the posterior. `data` contains the actual position and measurement of the dog, so we use `[:, 1]` to get an array of measurements.\n", "\n", "It really cannot get much simpler than that. As we tackle more complicated problems this code will remain largely the same; all of the work goes into setting up the `KalmanFilter` matrices; executing the filter is trivial.\n", "\n", "The rest of the code optionally plots the results and then returns the saved states and covariances.\n", "\n", "Let's run it. We have 50 measurements with a noise variance of 10 and a process variance of 0.01." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P = np.diag([500., 49.])\n", "Ms, Ps = run(count=50, R=10, Q=0.01, P=P)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is still a lot to learn, but we have implemented a Kalman filter using the same theory and equations as published by Rudolf Kalman! Code very much like this runs inside of your GPS, airliners, robots, and so on. \n", "\n", "The first plot plots the output of the Kalman filter against the measurements and the actual position of our dog (labelled *Track*). After the initial settling in period the filter should track the dog's position very closely. The yellow shaded portion between the black dotted lines shows 1 standard deviations of the filter's variance, which I explain in the next paragraph.\n", "\n", "The next two plots show the variance of $x$ and of $\\dot x$. I have plotted the diagonals of $\\mathbf P$ over time. Recall that the diagonal of a covariance matrix contains the variance of each state variable. So $\\mathbf P[0,0]$ is the variance of $x$, and $\\mathbf P[1,1]$ is the variance of $\\dot x$. You can see that we quickly converge to small variances for both. \n", "\n", "The covariance matrix $\\mathbf P$ tells us the *theoretical* performance of the filter *assuming* everything we tell it is true. Recall that the standard deviation is the square root of the variance, and that approximately 68% of a Gaussian distribution occurs within one standard deviation. If at least 68% of the filter output is within one standard deviation the filter may be performing well. In the top chart I have displayed the one standard deviation as the yellow shaded area between the two dotted lines. To my eye it looks like perhaps the filter is slightly exceeding that bounds, so the filter probably needs some tuning.\n", "\n", "In the univariate chapter we filtered very noisy signals with much simpler code than the code above. However, realize that right now we are working with a very simple example - an object moving through 1-D space and one sensor. That is about the limit of what we can compute with the code in the last chapter. In contrast, we can implement very complicated, multidimensional filters with this code merely by altering our assignments to the filter's variables. Perhaps we want to track 100 dimensions in financial models. Or we have an aircraft with a GPS, INS, TACAN, radar altimeter, baro altimeter, and airspeed indicator, and we want to integrate all those sensors into a model that predicts position, velocity, and acceleration in 3D space. We can do that with the code in this chapter.\n", "\n", "I want you to get a better feel for how the Gaussians change over time, so here is a 3D plot showing the Gaussians every 7th epoch (time step). Every 7th separates them enough so can see each one independently. The first Gaussian at $t=0$ is to the left." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from kf_book.book_plots import set_figsize, figsize\n", "from kf_book.nonlinear_plots import plot_gaussians\n", "\n", "P = np.diag([3., 1.])\n", "np.random.seed(3)\n", "Ms, Ps = run(count=25, R=10, Q=0.01, P=P, do_plot=False)\n", "with figsize(x=9, y=5):\n", " plot_gaussians(Ms[::7], Ps[::7], (-5,25), (-5, 5), 75)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Saver Class\n", "\n", "In the `run()` method I wrote boilerplate code to save the results of the filter\n", "```python\n", " xs, cov = [], []\n", " for z in zs:\n", " kf.predict()\n", " kf.update(z)\n", " xs.append(kf.x)\n", " cov.append(kf.P)\n", "\n", " xs, cov = np.array(xs), np.array(cov)\n", "```\n", "\n", "There's an easy way to avoid this. `filtery.common` provides the `Saver` class which will save all attributes in the Kalman filter class each time `Saver.save()` is called. Let's see it in action and then we will talk about it more." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "from filterpy.common import Saver\n", "kf = pos_vel_filter([0, .1], R=R, P=P, Q=Q, dt=1.) \n", "s = Saver(kf)\n", "for i in range(1, 6):\n", " kf.predict()\n", " kf.update([i])\n", " s.save() # save the current state" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Saver` object now contains lists of all the attributes of the KalmanFilter object. `kf.x` is the current state estimate of the filter. Therefore `s.x` contains the saved state estimate that was computed inside the loop:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([0.531, 0.304]),\n", " array([1.555, 0.763]),\n", " array([2.784, 1.036]),\n", " array([3.944, 1.105]),\n", " array([5.015, 1.086])]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see all the available attributes with the `keys` attribute:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['alpha',\n", " 'likelihood',\n", " 'log_likelihood',\n", " 'mahalanobis',\n", " 'dim_x',\n", " 'dim_z',\n", " 'dim_u',\n", " 'x',\n", " 'P',\n", " 'Q',\n", " 'B',\n", " 'F',\n", " 'H',\n", " 'R',\n", " '_alpha_sq',\n", " 'M',\n", " 'z',\n", " 'K',\n", " 'y',\n", " 'S',\n", " 'SI',\n", " '_I',\n", " 'x_prior',\n", " 'P_prior',\n", " 'x_post',\n", " 'P_post',\n", " '_log_likelihood',\n", " '_likelihood',\n", " '_mahalanobis',\n", " 'inv']" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s.keys" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many attributes there that we haven't discussed yet, but many should be familar.\n", "\n", "At this point you could write code to plot any of these variables. However, it is often more useful to use `np.array` instead of lists. Calling `Saver.to_array()` will convert the lists into `np.array`. There is one caveat: if the shape of any of the attributes changes during the run, the `to_array` will raise an exception since `np.array` requires all of the elements to be of the same type and size. \n", "\n", "If you look at the keys again you'll see that `z` is one of the choices. This is promising; apparently the measurement `z` is saved for us. Let's plot it against the estimate." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "s.to_array()\n", "book_plots.plot_measurements(s.z);\n", "plt.plot(s.x[:, 0]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While I've demonstrated this with the `KalmanFilter` class, it will work with all filter classes implemented by `FilterPy`. It will probably work with any class you write as well, as it inspects the object to retrieve the attribute names. We will use this class throughout the book to keep the code readable and short. Using the `Saver` will slow down your code because a lot happens behind the scenes, but for learning and exploring the convience cannot be beat." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Kalman Filter Equations\n", "\n", "We are now ready to learn how `predict()` and `update()` perform their computations. \n", "\n", "A word about notation. I'm a programmer, and I am used to code that reads\n", "\n", "```python\n", "x = x + 1\n", "``` \n", "\n", "That is not an equation as the sides are not equal, but an *assignment*. If we wanted to write this in mathematical notation we'd write\n", "$$x_k = x_{k-1} + 1$$\n", "\n", "Kalman filter equations are littered with subscripts and superscripts to keep the equations mathematically consistent. I find this makes them extremely hard to read. In most of the book I opt for subscriptless assignments. As a programmer you should understand that I am showing you assignments which implement an algorithm that is to be executed step by step. I'll elaborate on this once we have a concrete example." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prediction Equations\n", "\n", "The Kalman filter uses these equations to compute the *prior* - the predicted next state of the system. They compute the prior mean ($\\bar{\\mathbf x}$) and covariance ($\\bar{\\mathbf P}$) of the system.\n", "\n", "$$\\begin{aligned}\n", "\\mathbf{\\bar x} &= \\mathbf{Fx} + \\mathbf{Bu}\\\\\n", "\\mathbf{\\bar P} &= \\mathbf{FPF}^\\mathsf T + \\mathbf Q\n", "\\end{aligned}$$\n", "\n", "$\\underline{\\textbf{Mean}}$\n", "\n", "$\\mathbf{\\bar x} = \\mathbf{Fx} + \\mathbf{Bu}$\n", "\n", "As a reminder, the linear equation $\\mathbf{Ax} = \\mathbf b$ represents a system of equations, where $\\mathbf A$ holds the coefficients set of equations, $\\mathbf x$ is the vector of variables. Performing the multiplication $\\mathbf{Ax}$ computes the right hand side values for that set of equations, represented by $\\mathbf b$.\n", "\n", "If $\\mathbf F$ contains the state transition for a given time step, then the product $\\mathbf{Fx}$ computes the state after that transition. Easy! Likewise, $\\mathbf B$ is the control function, $\\mathbf u$ is the control input, so $\\mathbf{Bu}$ computes the contribution of the controls to the state after the transition. Thus, the prior $\\mathbf{\\bar x}$ is computed as the sum of $\\mathbf{Fx}$ and $\\mathbf{Bu}$.\n", "\n", "The equivalent univariate equation is\n", "\n", "$$\\bar\\mu = \\mu + \\mu_{move}$$\n", "\n", "If you perform the matrix multiplication $\\mathbf{Fx}$ it generates this equation for $x$.\n", "\n", "Let's make this explicit. Recall the value for $\\mathbf F$ from the last chapter:\n", "\n", "$$\\mathbf F = \\begin{bmatrix}1&\\Delta t \\\\ 0&1\\end{bmatrix}$$\n", "\n", "Thus $\\mathbf{\\bar x} = \\mathbf{Fx}$ corresponds to the set of linear equations:\n", "\n", "$$\\begin{cases}\n", "\\begin{aligned}\n", "\\bar x &= 1x + &\\Delta t\\, \\dot x \\\\\n", "\\bar{\\dot x} &=0x + &1\\, \\dot x\n", "\\end{aligned}\n", "\\end{cases}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\underline{\\textbf{Covariance}}$\n", "\n", "$\\mathbf{\\bar P} = \\mathbf{FPF}^\\mathsf T + \\mathbf Q$\n", "\n", "This equation is not as easy to understand so we will spend more time on it. \n", "\n", "In univariate version of this equation is:\n", "\n", "$$\\bar\\sigma^2 = \\sigma^2 + \\sigma^2_{move}$$\n", "\n", "We add the variance of the movement to the variance of our estimate to reflect the loss of knowlege. We need to do the same thing here, except it isn't quite that easy with multivariate Gaussians. \n", "\n", "We can't simply write $\\mathbf{\\bar P} = \\mathbf P + \\mathbf Q$. In a multivariate Gaussians the state variables are *correlated*. What does this imply? Our knowledge of the velocity is imperfect, but we are adding it to the position with\n", "\n", "$$\\bar x = \\dot x\\Delta t + x$$\n", "\n", "Since we do not have perfect knowledge of the value of $\\dot x$ the sum $\\bar x = \\dot x\\Delta t + x$ gains uncertainty. Because the positions and velocities are correlated we cannot simply add the covariance matrices. For example, if $\\mathbf P$ and $\\mathbf Q$ are diagonal matrices the sum would also be diagonal. But we know position is correlated to velocity so the off-diagonal elements should be non-zero. \n", "\n", "The correct equation is\n", "\n", "$$\\mathbf{\\bar P} = \\mathbf{FPF}^\\mathsf T + \\mathbf Q$$\n", "\n", "Expressions in the form $\\mathbf{ABA}^\\mathsf T$ are common in linear algebra. You can think of it as *projecting* the middle term by the outer term. We will be using this many times in the rest of the book. I admit this may be a 'magical' equation to you. Let's explore it.\n", "\n", "When we initialize $\\mathbf P$ with\n", "\n", "$$\\mathbf P = \\begin{bmatrix}\\sigma^2_x & 0 \\\\ 0 & \\sigma^2_v\\end{bmatrix}$$\n", "\n", "\n", "the value for $\\mathbf{FPF}^\\mathsf T$ is:\n", "\n", "$$\\begin{aligned}\n", "\\mathbf{FPF}^\\mathsf T &= \\begin{bmatrix}1&\\Delta t\\\\0&1\\end{bmatrix}\n", "\\begin{bmatrix}\\sigma^2_x & 0 \\\\ 0 & \\sigma^2_{v}\\end{bmatrix}\n", "\\begin{bmatrix}1&0\\\\\\Delta t&1\\end{bmatrix} \\\\\n", "&= \\begin{bmatrix}\\sigma^2_x&\\sigma_v^2\\Delta t\\\\ 0 & \\sigma^2_{v}\\end{bmatrix}\n", "\\begin{bmatrix}1&0\\\\\\Delta t&1\\end{bmatrix} \\\\\n", "&= \\begin{bmatrix}\\sigma^2_x + \\sigma_v^2\\Delta t^2 & \\sigma_v^2\\Delta t \\\\\n", "\\sigma_v^2\\Delta t & \\sigma^2_{v}\\end{bmatrix}\n", "\\end{aligned}$$\n", "\n", "The initial value for $\\mathbf P$ had no covariance between the position and velocity. Position is computed as $\\dot x\\Delta t + x$, so there is a correlation between the position and velocity. The multiplication $\\mathbf{FPF}^\\mathsf T$ computes a covariance of $\\sigma_v^2 \\Delta t$. The exact value is not important; you just need to recognize that $\\mathbf{FPF}^\\mathsf T$ uses the process model to automatically compute the covariance between the position and velocity!\n", "\n", "Another way to think of this is to reflect on the $\\mathbf{Fx}$ multiplication. That projected $\\mathbf x$ forward in time. $\\mathbf {FP}$ might seem to be the equivalent operation, but $\\mathbf P$ is a matrix while $\\mathbf x$ is a vector. The trailing $\\mathbf F^\\mathsf T$ term ensures that we multiply by both the rows and columns of $\\mathbf F$. In the second line of the computation of $\\mathbf{FPF}^\\mathsf T$ we have the value for $\\mathbf{FP}$. You can see that it is an upper triangular matrix because we haven't fully incorporated $\\mathbf F$ into the multiplication.\n", "\n", "If you have some experience with linear algebra and statistics, this may help. The covariance due to the prediction can be modeled as the expected value of the error in the prediction step, given by this equation. \n", "\n", "$$\\begin{aligned}\n", "\\bar{\\mathbf P} &= \\mathbb E[(\\mathbf{Fx - \\bar \\mu})(\\mathbf{Fx - \\bar\\mu})^\\mathsf T]\\\\\n", " &= \\mathbf F\\, \\mathbb E[\\mathbf{(x- \\bar\\mu)(x- \\bar\\mu)}^\\mathsf T]\\, \\mathbf F^\\mathsf T\n", "\\end{aligned}$$\n", "\n", "Of course, $\\mathbb E[\\mathbf{(x- \\bar\\mu)(x- \\bar\\mu)}^\\mathsf T]$ is just $\\mathbf P$, giving us\n", "\n", "$$\\bar{\\mathbf P} = \\mathbf{FPF}^\\mathsf T$$\n", "\n", "Let's look at its effect. Here I use $\\mathbf F$ from our filter and project the state forward 6/10ths of a second. I do this five times so you can see how $\\mathbf{\\bar P}$ continues to change. " ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt = 0.6\n", "x = np.array([0., 5.])\n", "F = np.array([[1., dt], [0, 1.]])\n", "P = np.array([[1.5, 0], [0, 3.]])\n", "plot_covariance_ellipse(x, P, edgecolor='r')\n", "\n", "for _ in range(5):\n", " x = np.dot(F, x)\n", " P = np.dot(F, P).dot(F.T)\n", " plot_covariance_ellipse(x, P, edgecolor='k', ls='dashed')\n", "book_plots.set_labels(x='position', y='velocity')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see that with a velocity of 5 the position correctly moves 3 units in each 6/10ths of a second step. At each step the width of the ellipse is larger, indicating that we have lost information about the position due to adding $\\dot x\\Delta t$ to x at each step. The height has not changed - our system model says the velocity does not change, so the belief we have about the velocity cannot change. As time continues you can see that the ellipse becomes more and more tilted. Recall that a tilt indicates *correlation*. $\\mathbf F$ linearly correlates $x$ with $\\dot x$ with the expression $\\bar x = \\dot x \\Delta t + x$. The $\\mathbf{FPF}^\\mathsf T$ computation correctly incorporates this correlation into the covariance matrix.\n", "\n", "Here is an animation of this equation that allows you to change the design of $\\mathbf F$ to see how it affects shape of $\\mathbf P$. The `F00` slider affects the value of F[0, 0]. `covar` sets the intial covariance between the position and velocity($\\sigma_x\\sigma_{\\dot x}$). I recommend answering these questions at a minimum\n", "\n", "* what if $x$ is not correlated to $\\dot x$? (set F01 to 0, the rest at defaults)\n", "* what if $x = 2\\dot x\\Delta t + x_0$? (set F01 to 2, the rest at defaults)\n", "* what if $x = \\dot x\\Delta t + 2x_0$? (set F00 to 2, the rest at defaults)\n", "* what if $x = \\dot x\\Delta t$? (set F00 to 0, the rest at defaults)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "df9f68b8fa9e483a8faa25afa63896b7", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=1, continuous_update=False, description='F00', max=2), FloatSlider(value…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import interact\n", "from kf_book.book_plots import IntSlider, FloatSlider\n", "\n", "def plot_FPFT(F00, F01, F10, F11, covar): \n", " plt.figure()\n", " dt = 1.\n", " x = np.array((0, 0.))\n", " P = np.array(((1, covar), (covar, 2)))\n", " F = np.array(((F00, F01), (F10, F11)))\n", " plot_covariance_ellipse(x, P)\n", " plot_covariance_ellipse(x, np.dot(F, P).dot(F.T), ec='r')\n", " plt.gca().set_aspect('equal')\n", " plt.xlim(-4, 4)\n", " plt.ylim(-4, 4)\n", " #plt.title(str(F))\n", " plt.xlabel('position')\n", " plt.ylabel('velocity')\n", " \n", "interact(plot_FPFT, \n", " F00=IntSlider(value=1, min=0, max=2), \n", " F01=FloatSlider(value=1, min=0, max=2, description='F01(dt)'),\n", " F10=FloatSlider(value=0, min=0, max=2),\n", " F11=FloatSlider(value=1, min=0, max=2),\n", " covar=FloatSlider(value=0, min=0, max=1));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(If you are reading this in a static form: instructions to run this online are here: https://git.io/vza7b). Or, go to binder using the link below, and open this notebook from there.\n", "\n", "http://mybinder.org/repo/rlabbe/Kalman-and-Bayesian-Filters-in-Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Update Equations\n", "\n", "The update equations look messier than the predict equations, but that is mostly due to the Kalman filter computing the update in measurement space. This is because measurements are not *invertible*. For example, consider a sensor that gives the range to a target. It is impossible to convert a range into a position - an infinite number of positions in a circle will yield the same range. On the other hand, we can always compute the range (measurement) given a position (state).\n", "\n", "Before I continue, recall that we are trying to do something very simple: choose a new estimate chosen somewhere between a measurement and a prediction, as in this chart:\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The equations will be complicated because the state has multiple dimensions, but this operations is what we are doing. Don't let the equations distract you from the simplicity of this idea.\n", "\n", "$\\underline{\\textbf{System Uncertainty}}$\n", "\n", "$\\textbf{S} = \\mathbf{H\\bar PH}^\\mathsf T + \\mathbf R$\n", "\n", "To work in measurement space the Kalman filter has to project the covariance matrix into measurement space. The math for this is $\\mathbf{H\\bar PH}^\\mathsf T$, where $\\mathbf{\\bar P}$ is the *prior* covariance and $\\mathbf H$ is the measurement function.\n", "\n", "\n", "You should recognize this $\\mathbf{ABA}^\\mathsf T$ form - the prediction step used $\\mathbf{FPF}^\\mathsf T$ to update $\\mathbf P$ with the state transition function. Here, we use the same form to update it with the measurement function. The linear algebra is changing the coordinate system for us. \n", "\n", "Once the covariance is in measurement space we need to account for the sensor noise. This is very easy - we just add matrices. The result is variously called the *system uncertainty* or *innovation covariance*.\n", "\n", "If you ignore the $\\mathbf H$ term this equation is the equivalent to the denominator in the univariate equation for the Kalman gain:\n", "\n", "$$K = \\frac {\\bar\\sigma^2} {\\bar\\sigma^2 + \\sigma_z^2}$$\n", "\n", "Compare the equations for the system uncertainty and the covariance\n", "\n", "$$\\begin{aligned}\n", "\\mathbf{S} &= \\mathbf{H\\bar PH}^\\mathsf T + \\mathbf R\\\\\n", "\\mathbf{\\bar P} &= \\mathbf{FPF}^\\mathsf T + \\mathbf Q\n", "\\end{aligned}$$\n", "\n", "In each equation $\\mathbf P$ is put into a different space with either the function $\\mathbf H$ or $\\mathbf F$. Then we add the noise matrix associated with that space.\n", "\n", "$\\underline{\\textbf{Kalman Gain}}$\n", "\n", "$\\mathbf K = \\mathbf{\\bar PH}^\\mathsf T \\mathbf{S}^{-1}$\n", "\n", "Look back at the residual diagram. Once we have a prediction and a measurement we need to select an estimate somewhere between the two. If we have more certainty about the measurement the estimate will be closer to it. If instead we have more certainty about the prediction then the estimate will be closer to it. \n", "\n", "In the univariate chapter we scaled the mean using this equation\n", "\n", "$$\n", "\\mu =\\frac{\\bar\\sigma^2 \\mu_z + \\sigma_\\mathtt{z}^2 \\bar\\mu} {\\bar\\sigma^2 + \\sigma_\\mathtt{z}^2}$$\n", "\n", "which we simplified to\n", "\n", "$$\\mu = (1-K)\\bar\\mu + K\\mu_\\mathtt{z}$$\n", "\n", "which gave us\n", "\n", "$$K = \\frac {\\bar\\sigma^2} {\\bar\\sigma^2 + \\sigma_z^2}$$\n", "\n", "$K$ is the *Kalman gain*, and it is a real number between 0 and 1. Ensure you understand how it selects a mean somewhere between the prediction and measurement. The Kalman gain is a *percentage* or *ratio* - if K is .9 it takes 90% of the measurement and 10% of the prediction. \n", "\n", "For the multivariate Kalman filter $\\mathbf K$ is a vector, not a scalar. Here is the equation again: $\\mathbf K = \\mathbf{\\bar PH}^\\mathsf T \\mathbf{S}^{-1}$. Is this a *ratio*? We can think of the inverse of a matrix as linear algebra's way of finding the reciprocal. Division is not defined for matrices, but it is useful to think of it in this way. So we can read the equation for $\\textbf{K}$ as meaning\n", "\n", "$$\\begin{aligned} \\mathbf K &\\approx \\frac{\\mathbf{\\bar P}\\mathbf H^\\mathsf T}{\\mathbf{S}} \\\\\n", "\\mathbf K &\\approx \\frac{\\mathsf{uncertainty}_\\mathsf{prediction}}{\\mathsf{uncertainty}_\\mathsf{prediction} + \\mathsf{uncertainty}_\\mathsf{measurement}}\\mathbf H^\\mathsf T\n", "\\end{aligned}$$\n", "\n", "The Kalman gain equation computes a ratio based on how much we trust the prediction vs the measurement. We did the same thing in every prior chapter. The equation is complicated because we are doing this in multiple dimensions via matrices, but the concept is simple. The $\\mathbf H^\\mathsf T$ term is less clear, I'll explain it soon. If you ignore that term the equation for the Kalman gain is the same as the univariate case: divide the uncertainty of the prior with the of the sum of the uncertainty of the prior and measurement.\n", "\n", "$\\underline{\\textbf{Residual}}$\n", "\n", "$\\mathbf y = \\mathbf z - \\mathbf{H\\bar{x}}$\n", "\n", "This is an easy one as we've covered this equation while designing the measurement function $\\mathbf H$. Recall that the measurement function converts a state into a measurement. So $\\mathbf{Hx}$ converts $\\mathbf x$ into an equivalent measurement. Once that is done, we can subtract it from the measurement $\\mathbf z$ to get the residual - the difference between the measurement and prediction.\n", "\n", "The univariate equation is\n", "\n", "$$y = z - \\bar x$$\n", "\n", "and clearly computes the same thing, but only in one dimension.\n", "\n", "$\\underline{\\textbf{State Update}}$\n", "\n", "$\\mathbf x = \\mathbf{\\bar x} + \\mathbf{Ky}$\n", "\n", "We select our new state to be along the residual, scaled by the Kalman gain. The scaling is performed by $\\mathbf{Ky}$, which both scales the residual and converts it back into state space with the $\\mathbf H^\\mathsf T$ term which is in $\\mathbf K$. This is added to the prior, yielding the equation: $\\mathbf x =\\mathbf{\\bar x} + \\mathbf{Ky}$. Let me write out $\\mathbf K$ so we can see the entire computation:\n", "\n", "$$\\begin{aligned}\n", "\\mathbf x &= \\mathbf{\\bar x} + \\mathbf{Ky} \\\\\n", "&= \\mathbf{\\bar x} + \\mathbf{\\bar PH}^\\mathsf T \\mathbf{S}^{-1}\\mathbf y \\\\\n", "&\\approx \\mathbf{\\bar x} + \\frac{\\mathsf{uncertainty}_\\mathsf{prediction}}{\\mathsf{uncertainty}_\\mathsf{measurement}}\\mathbf H^\\mathsf T\\mathbf y\n", "\\end{aligned}$$\n", "\n", "Perhaps a better way to *see* the ratio is to rewrite the estimate equation:\n", "\n", "$$\\begin{aligned}\n", "\\mathbf x &= \\mathbf{\\bar x} + \\mathbf{Ky} \\\\\n", "&= \\mathbf{\\bar x} +\\mathbf K(\\mathbf z - \\mathbf{H\\bar x}) \\\\\n", "&= (\\mathbf I - \\mathbf{KH})\\mathbf{\\bar x} + \\mathbf{Kz}\n", "\\end{aligned}$$\n", "\n", "The similarity between this and the univariate form should be obvious:\n", "$$\\mu = (1-K)\\bar\\mu + K\\mu_\\mathtt{z}$$\n", "\n", "$\\underline{\\textbf{Covariance Update}}$\n", "\n", "$\\mathbf P = (\\mathbf{I}-\\mathbf{KH})\\mathbf{\\bar P}$\n", "\n", "$\\mathbf{I}$ is the identity matrix, and is the way we represent $1$ in multiple dimensions. $\\mathbf H$ is our measurement function, and is a constant. We can think of the equation as $\\mathbf P = (1-c\\mathbf K)\\mathbf P$. $\\mathbf K$ is our ratio of how much prediction vs measurement we use. If $\\mathbf K$ is large then $(1-\\mathbf{cK})$ is small, and $\\mathbf P$ will be made smaller than it was. If $\\mathbf K$ is small, then $(1-\\mathbf{cK})$ is large, and $\\mathbf P$ will be relatively larger. This means that we adjust the size of our uncertainty by some factor of the Kalman gain.\n", "\n", "This equation can be numerically unstable and I don't use it in FilterPy. The subtraction can destroy symmetry and lead to floating point errors over time. Later I'll share more complicated but numerically stable forms of this equation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### An Example not using FilterPy\n", "\n", "FilterPy hides the details of the implementation from us. Normally you will appreciate this, but let's implement the last filter without FilterPy. To do so we need to define our matrices as variables, and then implement the Kalman filter equations explicitly.\n", "\n", "Here we initialize our matrices:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "dt = 1.\n", "R_var = 10\n", "Q_var = 0.01\n", "x = np.array([[10.0, 4.5]]).T\n", "P = np.diag([500, 49])\n", "F = np.array([[1, dt],\n", " [0, 1]])\n", "H = np.array([[1., 0.]])\n", "R = np.array([[R_var]])\n", "Q = Q_discrete_white_noise(dim=2, dt=dt, var=Q_var)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy import dot\n", "from scipy.linalg import inv\n", "\n", "count = 50\n", "track, zs = compute_dog_data(R_var, Q_var, count)\n", "xs, cov = [], []\n", "for z in zs:\n", " # predict\n", " x = dot(F, x)\n", " P = dot(F, P).dot(F.T) + Q\n", " \n", " #update\n", " S = dot(H, P).dot(H.T) + R\n", " K = dot(P, H.T).dot(inv(S))\n", " y = z - dot(H, x)\n", " x += dot(K, y)\n", " P = P - dot(K, H).dot(P)\n", " \n", " xs.append(x)\n", " cov.append(P)\n", "\n", "xs, cov = np.array(xs), np.array(cov)\n", "plot_track(xs[:, 0], track, zs, cov, plot_P=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results are identical to the FilterPy version. Which you prefer is up to you. I prefer not polluting my namespace with variables such as `x`, `P`, and so on; `dog_filter.x` is, to me, more readable.\n", "\n", "More importantly, this example requires you to remember and program the equations for the Kalman filter. Sooner or later you will make a mistake. FilterPy's version ensures that your code will be correct. On the other hand, if you make a mistake in your definitions, such as making $\\mathbf H$ a column vector instead of a row vector, FilterPy's error message will be harder to debug than this explicit code. \n", "\n", "FilterPy's KalmanFilter class provides additional functionality such as smoothing, batch processing, faded memory filtering, computation of the maximum likelihood function, and more. You get all of this functionality without having to explicitly program it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Summary\n", "\n", "We have learned the Kalman filter equations. Here they are all together for your review. There was a lot to learn, but I hope that as you went through each you recognized it's kinship with the equations in the univariate filter. In the *Kalman Math* chapter I will show you that if we set the dimension of $\\mathbf x$ to one that these equations revert back to the equations for the univariate filter. This is not \"like\" the univariate filter - it is a multidimensional implementation of it.\n", "\n", "$$\n", "\\begin{aligned}\n", "\\text{Predict Step}\\\\\n", "\\mathbf{\\bar x} &= \\mathbf{F x} + \\mathbf{B u} \\\\\n", "\\mathbf{\\bar P} &= \\mathbf{FP{F}}^\\mathsf T + \\mathbf Q \\\\\n", "\\\\\n", "\\text{Update Step}\\\\\n", "\\textbf{S} &= \\mathbf{H\\bar PH}^\\mathsf T + \\mathbf R \\\\\n", "\\mathbf K &= \\mathbf{\\bar PH}^\\mathsf T \\mathbf{S}^{-1} \\\\\n", "\\textbf{y} &= \\mathbf z - \\mathbf{H \\bar x} \\\\\n", "\\mathbf x &=\\mathbf{\\bar x} +\\mathbf{K\\textbf{y}} \\\\\n", "\\mathbf P &= (\\mathbf{I}-\\mathbf{KH})\\mathbf{\\bar P}\n", "\\end{aligned}\n", "$$\n", "\n", "I want to share a form of the equations that you will see in the literature. There are many different notation systems used, but this gives you an idea of what to expect.\n", "\n", " $$\n", "\\begin{aligned}\n", "\\hat{\\mathbf x}_{k\\mid k-1} &= \\mathbf F_k\\hat{\\mathbf x}_{k-1\\mid k-1} + \\mathbf B_k \\mathbf u_k \\\\\n", "\\mathbf P_{k\\mid k-1} &= \\mathbf F_k \\mathbf P_{k-1\\mid k-1} \\mathbf F_k^\\mathsf T + \\mathbf Q_k \\\\ \t\n", "\\tilde{\\mathbf y}_k &= \\mathbf z_k - \\mathbf H_k\\hat{\\mathbf x}_{k\\mid k-1}\\\\\n", "\\mathbf{S}_k &= \\mathbf H_k \\mathbf P_{k\\mid k-1} \\mathbf H_k^\\mathsf T + \\mathbf R_k \\\\\n", "\\mathbf K_k &= \\mathbf P_{k\\mid k-1}\\mathbf H_k^\\mathsf T \\mathbf{S}_k^{-1}\\\\\n", "\\hat{\\mathbf x}_{k\\mid k} &= \\hat{\\mathbf x}_{k\\mid k-1} + \\mathbf K_k\\tilde{\\mathbf y}_k\\\\\n", "\\mathbf P_{k|k} &= (I - \\mathbf K_k \\mathbf H_k) \\mathbf P_{k|k-1}\n", "\\\\\\end{aligned}\n", "$$\n", "\n", "This notation uses the Bayesian $a\\mid b$ notation, which means $a$ given the evidence of $b$. The hat means estimate. Thus $\\hat{\\mathbf x}_{k\\mid k}$ means the estimate of the state $\\mathbf x$ at step $k$ (the first k) given the evidence from step $k$ (the second k). The posterior, in other words. $\\hat{\\mathbf x}_{k\\mid k-1}$ means the estimate for the state $\\mathbf x$ at step $k$ given the estimate from step $k - 1$. The prior, in other words. \n", "\n", "This notation, copied from [Wikipedia](https://en.wikipedia.org/wiki/Kalman_filter#Details) [[1]](#[wiki_article]), allows a mathematician to express himself exactly. In formal publications presenting new results this precision is necessary. As a programmer I find it fairly unreadable. I am used to thinking about variables changing state as a program runs, and do not use a different variable name for each new computation. There is no agreed upon format in the literature, so each author makes different choices. I find it challenging to switch quickly between books and papers, and so have adopted my admittedly less precise notation. Mathematicians may write scathing emails to me, but I hope programmers and students will rejoice at my simplified notation.\n", "\n", "The **Symbology** Appendix lists the notation used by various authors. This brings up another difficulty. Different authors use different variable names. $\\mathbf x$ is fairly universal, but after that it is anybody's guess. For example, it is common to use $\\mathbf{A}$ for what I call $\\mathbf F$. You must read carefully, and hope that the author defines their variables (they often do not).\n", "\n", "If you are a programmer trying to understand a paper's equations, I suggest starting by removing all of the superscripts, subscripts, and diacriticals, replacing them with a single letter. If you work with equations like this every day this is superfluous advice, but when I read I am usually trying to understand the flow of computation. To me it is far more understandable to remember that $P$ in this step represents the updated value of $P$ computed in the last step, as opposed to trying to remember what $P_{k-1}(+)$ denotes, and what its relation to $P_k(-)$ is, if any, and how any of that relates to the completely different notation used in the paper I read 5 minutes ago." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise: Show Effect of Hidden Variables\n", "\n", "In our filter velocity is a hidden variable. How would a filter perform if we did not use velocity in the state?\n", "\n", "Write a Kalman filter that uses the state $\\mathbf x=\\begin{bmatrix}x\\end{bmatrix}$ and compare it against a filter that uses $\\mathbf x=\\begin{bmatrix}x & \\dot x\\end{bmatrix}^\\mathsf T$." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "# your code here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution\n", "\n", "We've already implemented a Kalman filter for position and velocity, so I will provide the code without much comment, and then plot the result." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from math import sqrt\n", "from numpy.random import randn\n", "\n", "def univariate_filter(x0, P, R, Q):\n", " f = KalmanFilter(dim_x=1, dim_z=1, dim_u=1)\n", " f.x = np.array([[x0]])\n", " f.P *= P\n", " f.H = np.array([[1.]])\n", " f.F = np.array([[1.]])\n", " f.B = np.array([[1.]])\n", " f.Q *= Q\n", " f.R *= R\n", " return f\n", "\n", "def plot_1d_2d(xs, xs1d, xs2d):\n", " plt.plot(xs1d, label='1D Filter')\n", " plt.scatter(range(len(xs2d)), xs2d, c='r', alpha=0.7, label='2D Filter')\n", " plt.plot(xs, ls='--', color='k', lw=1, label='track')\n", " plt.title('State')\n", " plt.legend(loc=4)\n", " plt.show()\n", " \n", "def compare_1D_2D(x0, P, R, Q, vel, u=None):\n", " # storage for filter output\n", " xs, xs1, xs2 = [], [], []\n", "\n", " # 1d KalmanFilter\n", " f1D = univariate_filter(x0, P, R, Q)\n", "\n", " #2D Kalman filter\n", " f2D = pos_vel_filter(x=(x0, vel), P=P, R=R, Q=0)\n", " if np.isscalar(u):\n", " u = [u]\n", " pos = 0 # true position\n", " for i in range(100):\n", " pos += vel\n", " xs.append(pos)\n", "\n", " # control input u - discussed below\n", " f1D.predict(u=u)\n", " f2D.predict()\n", " \n", " z = pos + randn()*sqrt(R) # measurement\n", " f1D.update(z)\n", " f2D.update(z)\n", " \n", " xs1.append(f1D.x[0])\n", " xs2.append(f2D.x[0])\n", " plt.figure()\n", " plot_1d_2d(xs, xs1, xs2)\n", "\n", "compare_1D_2D(x0=0, P=50., R=5., Q=.02, vel=1.) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Discussion\n", "\n", "The filter that incorporates velocity into the state produces much better estimates than the filter that only tracks position. The univariate filter has no way to estimate the velocity or change in position, so it lags the tracked object. \n", "\n", "In the univarate Kalman filter chapter we had a control input `u` to the predict equation:\n", "\n", "```python\n", " def predict(self, u=0.0):\n", " self.x += u\n", " self.P += self.Q\n", "```\n", "\n", "Let's try specifying the control input:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_1D_2D(x0=0, P=50., R=5., Q=.02, vel=1., u=1.) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the performance of the two filters are similar, and perhaps the univariate filter is tracking more cloesly. But let's see what happens when the actual velocity `vel` is different from the control input `u`:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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q8OxJtXfvXh566CFmz57Nc889x5NPPslf/vIXvva1r/ndNySTqk2b4IUX4PgFrg8mX8h7rgj2H9pN98H3cdv6SP/O79HFpZ+ko1OXGO1JtFJj9KTEHP856t8xhrHLI4UQQgghhJjuZlRSZbVa+c///E9efPFFurq6KCgo4J577mHdunVj7huSSdWaNeByeZb2Ad/Kuo73YnIAUA3bMB3ewbKcfPLsXTz/zmbykjK4KH8J2qg4Bt0qbNExDA4OYY/Qowa0ihutYwiN0Yh2+SVoj1aiqqmlS6WjOTKGFnMSzUokw66xFwcGkmSK5OK8BC7JS+Ti2QlkxhlPfpAQQgghhBBhbkYlVaci5JIqRYHrrwefi+Z2RaXTq45kzlA32Z98QIRjGJYtY9Dl4vulpTzb2IhTUfhyWhob9XouzchA5VPm0qunB4aGPNdcjboeS8nMpPs3j9E8BC29dlr67LSO/OwborXP8/eewbEVViwJRi7OS+DivEQuzI0nOUY/9v8WQgghhBAizElSNY6QS6rAb6bKrSje6n9qlQqqq6GlBS66yHv37uFhnm5oYFN1NQMOBzXXXINOo2HY7SbC93EEONarvx9uvRXuumvCU7MNu9hf38Ouqg4+PtpBSUMvLrd/qCRGR1CQGsO8NBPz0mIoSI1hdnI0Edqw3VM6LI1sDaBSqQJWHRJiPBI7IhgSNyJYEjsiGFMVN5JUjSMkk6pNm+DFF8FkorevD8XtRqVWY46JOTHbZDRCdLTfbJM7I4O62lpy4uKot9lY+OGHfC0jg7ssFuabTLBnjydZW7Zs7P+pKKDRwOuvn/j3JK6b6rc7+Ky6i11VnXx8tIOK1n4CRY5WrWJWUhTZ8VFYEoxYEoxkxRuxxBvJjDNKwnUWSDUlESyJHREMiRsRLIkdEYxwqf4nXxNMpdtvh127oKEBb4aiKJ7ZpJwc+M1vPIUs3n7bk2BFRsKtt6LesIGcdevA5UKvVrPRYuEP9fX8b00NVyYk8P3hYW4yjnP9k0oFg4Pw2GPw7rsn+l250nM+45RpN+l1XDUvhavmpQCemawjrf0cau7z/Gnx/L3f7uRIq5UjrdYxfahVeAtiJJsiSTbpSYnx/EyOiSQlRk9GnIEYfeD9DYQQQgghhAhFMlMVCvtUbd7MwCuvgN0Oej1RN98MGzb4JzijZ5R8ZrkAht1uXmlu5rHaWnKsVv48Zw727Gy6HA7S9T7XPjmdcPAg5OWd8f2vFEWhqddOZWs/9V2D1HYOUts1SF3nIHVdg9gcY3e5DiRGryUzzkhGnIHMOIPn77EGEqIjiNHrMBt0xBi0GHQaqU4IVFdX43Q60Wq15ObmTvXpiDAisSOCIXEjgiWxI4IxVXEjy//GEbJJla9JLsUDTuxx1dAwZnngsNVKhMHA5v5+vn3gADelpvI9i4XLExJQVVR4ji8oGNvn6OutTuV8TvrQFNqtQzR022jrG6Kt3+792do3RFu/p0hG18DwpPvUaVTHEywdlngj89JivH9yE6PQqCXhEkIIIYQQp06SqnGERVJ1qo7PcvktD7zuOk9i9P3v01dTw//19LCptpZDVivzjEZ+YTCw9vzzIdCFfiOhsGoVvPPOpJcGnkmDw04au200dNto6B48/tNGY4+NXpvD+2d00YzRIrVq8lNNzEuNYW6qidnJ0cxOjiYtRo9aki0hhBBCCDEBSarGMS2TKl+jZ5V8Ei7FbmeH1cpjNhs3OxzclpNDhdXKsNvNguMbDwOe4hb798OcOWd8aeCZpCgKg8Muem0O+uwOugaGqWqzeq/rqmjpZ3A48FJDY4SGWUlRzE7yJFmzkqLJTYwiJyEKQ4TmHD8SIYQQQggRiiSpGse0T6om4ptwHS/jfufBg/yuro5L4+PZaLHw5bQ0ImprT7sUeyhwuxVquwY5fLyIRmWblaNtVmo6B3C4xg/3NLOenIQochKjmJUYxaykKOammMiINcjslhBCCCHEDCJJ1ThCPak6duyY9yK8WbNmnb3/6HiBC0dUFK+1tPB4bS3bOjtJjojgWb2eq7KyINBFgKNLsYchh8tNXdcgR9usVLV7Eq1j7QNUdwzQaxu72fGIqAgNc1NN5KeYmJtioiDVxJwUE4nRESFRKOOcxY6YdiR2RDAkbkSwJHZEMKYqbqSkepjq7+/31uA/q46Xcdc1NPCVtDS+kp5OeV8fm44epcDphOxsXmhqIl6n46rERM9GxOCZ6RoaOqPFK841nUZNXlI0eUnRY9q6B4ap7hygun2Ams4BjnUMUHU8+RoYdrGvrod9dT1+x8Totcw63t+spKjjfUdhSYg6p/txnbPYEdOOxI4IhsSNCJbEjghGuMSNJFUzjcHguTbKp8DF/NhY/vcnP4EtWwD4Y10dWzs6mBMVxUaLhW9kZhKn03mKVowkVGGcXAUSFxVBXFQES7Lj/G53uNzUdAxwuKWfI6393p91XYP02Z3sr+9hf71/sqVVq5iTYqI4w0xRppniDDP5qSb0OrlmSwghhBBiOpLlfyGy/M/lOlFYQaM5hx++fZOj40sDlehodnZ18XhtLS81N6NVqShdupRZ69eDTjdllQFDid3horpjgGPtAxxr98xoHTv+b+uQc8z9tWoVc1NMLMgwM+v4bJYlwYglwYgx4vS+25iy2BFhT2JHBEPiRgRLYkcEY6riRq6pGkeoJ1UhIcDeV612O6/U1nLnkiWoVCq+s307y1NS+Ep6Onq1OuQqA061kQ2QDzb0UtrYy4FGz8+J9t9KMkViiTdiSYhifnoMCzPNFKabpRqhEEIIIcQUkaRqHJJUTdJ4e18NDWF96SVurqhga0cHiRER3JGVxZ0WCzkuV9hUBpwKiqLQ2GOjtLGX8qY+ajoHqe0apLZzgJ7BwAUyNMdnthZlmSnOjKU408zcFBM6jcSrEEIIIcTZJknVOCSpCkKAUuyoVByxWnm8tpan6uuJVKtpvOoqtDodymuvearhTbPrrc6mXpuDus5Bajo9VQgPNvZSUt9DW//QmPtq1SpyE6OYm2pibrKJuSnRzEkxkZNgRCvJlhBCCCHEGSNJ1ThCPanq7u7G7XajVquJi4s7+QHnkqLA9dd7rqfyMeB0Um61cn5sLK29vVxx5AjfTEjgmykpJJhMM/Z6qzOhpdfO/voeDjT0UNLQw4H6XvoDXKsFoNOomJ1oZEG6iQtnp7A4O5bcxKiQKPcuQltIjzsiZEnciGBJ7IhgTFXcSEn1MFVXV+ctFxlyA41K5VkGeHymakSUVsv5sbHgdDJ05AjnKwo/OXyY/zp8mHXp6Xyvvp7zd+2S662CkGrWc505leuKUoET12odae2nsrWfI63W43+3YnO4ONQ6wKHWAV7c1wKA2aBjYVYsi7M8SwfzUz2bGEuiJXyF9LgjQpbEjQiWxI4IRrjEjSRVYnJWroQXXwSTaWzb0aNkm0z8X0EBDw8N8af6eh6vraXf6eTlmBgcf/wjzjvuwGAwyNLAIKlUKjJiDWTEGrgyP9l7u9utsPWTL6hos1HV46LBrqO0sZdem4MPj7Tz4ZF2731NkVrPJsapng2M56aYmJcWg9kQ2vs+CCGEEEKEOln+FyLL/zo6OrxTm4mJiVN9OmMFqAyIoniq/1VVQVERaE/k6C5FocfhIEGn48WmJu6sqOCbaWncmZbG7Ph4WRp4Bo2OnWGnm8Mtfeyv92xYXN7UR1W7Fad77K+6WgXFmbFcNjeJy+cmsjAzVq7PmkFCftwRIUniRgRLYkcEY6riRq6pGkeoJ1VhIVBlwJUr4dVXQa8PfIzLRc3evTwWGcmfWlvpcjhYmZTEPenpXF5U5L80UGaxzpphp5vqjgEOt/RR0dJPRYtnI+PGHpvf/WL0Wi6Znchlc5NYPieRzDjjFJ2xEEIIIcTUkaRqHJJUnWHjVAYco7oaWlrgoouwuVw839TE4zU13JGdzXfj42m48koi9XqSdu2a8RsKT4XmXtvxZYId7DzaQa/Nv8R7aoyexdmxLMmOY4kllsJ0M3qd7J8lhBBCiOlNkqpxSFJ1Fm3aNP71Vp98AqmpkJvrd7NbUVC7XHznww952mbjK2lpbMzJ4aLYWFQDA7Kh8BRwuRVKGnq812KVNPTiGrVkUKdRMT/dzHnZcSybFc+FsxLkmiwhhBBCTDuSVI1DkqqzaLzrrfr7obISFi0CTYDZjZoaOuvq2JyRweO1tVQNDrIoJoYnFizgQq127IbCsjzwnBocdnKgoZd9dT18UdfNvrpuOqzDfvdRq6Aow8zFeYlcnJfA0pw4jBFS/0YIIYQQ4U2SqnGEelJVUlLiLRe5cOHCqT6dUxfoeqvrroMtWzztgZKhzz7z/LzgAtyKwjvt7TxeW8uv588nz2jkva4uMjdtomDXLnjnnYmXB87ghOtcxY6iKDR02/iirps9NV18UtVJVfuA3310GhWLszyzWBfkJrDEEitJVggL+3FHTAmJGxEsiR0RjKmKm7Dep+qDDz7gL3/5C7t27aK+vp7Y2FiWLl3KT3/6U8477zy/+27YsIGnn356TB/5+fkcPnz4XJ2yGGEweGaV7rrLP8FRlMBLAxUFHA7IyABArVJxfXIy1yefKBd+T1kZexcv5qrYWDbOmsWNqaloXS5Pf7t2waOPwvPPnzzhEmeESqUiK95IVryRNYs8r1tLr51PjnWw62gnu6o6aeyx8VlNF5/VdAFH0apVFGeauXBWAhfkxrPUEodJL8sFhRBCCDG9hFRS9fjjj9PZ2cndd9/N/PnzaW9v5+GHH2bZsmW88847rFixwu/+BoOBDz74YMxt4choNOJ0OtFqQ+olCY7vjNHtt3sSoECl2KOiPNdOBaIofJSVxUtOJ5va2vjyF1+Qodfz8cUXYzGZoLbWMxNmMHgSNp3OUyxjJOGaQddjTWXspJr1rF2cydrFmSiKQl3XILuqOvmsuotPj3XS1Gvni7oevqjr4fHtVahVUJAawxJLLOdZ4liSHUd2vFE2JZ4i02rcEeeMxI0IlsSOCEa4xE1ILf9ra2sj2WemAsBqtTJ79myKiop47733vLdv2LCBl156CavVOqm+Q33537Q23tLAoSF47bXABS76+6GrC7KzQaViX28vf21u5oH8fNQqFT/79FOuGBpi+fLlYz+Q9/ePvR5LnHMjywU/PZ5gfVrdRV3X4Jj7JURFsPh4dcGL8xIpzjCjVkuSJYQQQoipMy2vqVqxYgWNjY1UVFR4b5OkKkz5Lg2caEPhzExobQ24/1W/08n5W7dS4XJRaDKx0WLhHzIzMY18g6EonsIYr78+9v8UU6ql184Xdd18UdvN53XdlDX2Mexy+90nyRTJVQXJXD0vhUtmJ2KIkBLuQgghhDi3pl1S1dvbi8ViYcWKFbzyyive2zds2MCf//xnkpKSaG9vJy0tjZtuuomf/exnxMfHj+lHkqoQNd4s1oYNsG5d4P2vFAVl927ed7nYpNfzeksLaXo9NStWoB15Pe12uOkmePddud4qhA05XZQ29rHvePGLj492Yh1yetv1OjWXzk7kqnkpXDUvmWTTOJtMCyGEEEKcQdMuqfr617/OCy+8wO7du/2KVfz6178GoKioCIAdO3bw61//muzsbPbs2UN0dLRfP4GemLq6OiwWCzExMd7bhoaGvIUu4uLiyM7O9jumsrKSwUHPEqbRFUg6OjpobGwEIDs7m7i4OG+by+WitLQU8Lwgs2bN8ju2urqavr4+AAoLC/3Wjfb09FBbWwtAeno6SUlJfsceOHAARVEwGAzMnTvXr62+vp6uri7AU8RD7zPzY7VaqaqqAiA5OZm0tDS/Y8vLy73VVubPn+/X1tzcTFtbGwB5eXl+z7fdbvfOKsbHx5OVleV37JEjR7DZbKhUKoqLi080KArtHR00NTUBMGfrVox//7t3eaBbUbyvYfSBA2gyMiA3l3qbjZK+Pq40meiw27mjvJzvqNWsnT8fndkMKhXDw8MMdXbiSEnB/cQTJI46p5KSEsCzbnfOnDl+bXV1dXR3dwNQUFBAZGSkt62vr4/q6moAUlJSSE1N9Tu2rKwMp9NJZGQkBQUFfm1NTU20t7cDMHv2bKKiorxtg4ODVFZWApCQkEDmqGvPKioqsNvtaAYq69sAACAASURBVDQa7+/AiLa2NpqbmwHIycnBbDZ724aHhzl06BAAZrOZnJwcv2Orqqq8s78LFizwGzg6OztpaGgAIDMzk4SEBG+b2+3m4MGDAERHR5OXl+fXb01NDb29vQDMmzePiIgIb1tvby81NTUAJCancMyq4b3yVt471EZjj817PxWwODuWa+ancm1hCnlJ0TQ0NNDZ2QnAnDlzMBqN3vsPDAxw9OhRAJKSkkhPT/c7p8OHDzM0NIRWq6WwsNCvraWlhdbWVgByc3NljCBExgigvb3dO0ZYLBZiY2O9bU6nk7KyMgBiYmLIHbU/3rFjx7xjSFFRERqfrR66u7upq6sDICMjg8TERL9jZYzwmOoxIi0tbcxlAqWlpbhcLvR6Pfn5+X5tMkZ4yBjhIWPECTJGeEw0RlitVlwul9/9p6T63/bt27nyyisndd99+/axaNGiMbf/13/9F8888wy//e1vx1T/++EPf+j372uuuYbFixdzyy238OSTT45pD8TpdDI6p1QUBYfD4W0PdMxI+2hut9vb5na7x7RP1G9/f7+3ffQ5+fY7+sUd6VdRFHS6sVXVXC7XafU73mP17Xf0Y/V9DgP1O/IcjrkWSqXy69d+220Y9+8/sTxQUVBcLtQ2G8NZWRiO/5JnGQxkGQxYBwZos9sZGhzk1uFh0vbs4TvZ2Xw7O5skjQaXwYC2pQWefRZ+9KORkwWVatKv+UTxMt5z6HQ6A/4CTvTaTKZfh8OBy+Wirq7OewFndnb2hP2OHHuyfgOZbHwHOt73nEbzfaxqFJbPSWL5nCTuu1GhorWf/3tvH5812jna7fQWvXjo7cPkJUWxLNNAYayb2fHaoJ/DQM/RZF+bczlGTBSHwY4RdXV19Pb2hs8YcQr9hsprEwpjxKn0O3LsyfoFz4dti8XibTsXY0SgcxoeHsbtdvt9AA7Ur4wRU/85wvf9Sq1WyxjB9B4jRgt2jBj9XjXa2RwjTsVZS6ry8/N58sknJ3Xf0d/iANx///088MAD/OIXv+Cf/umfJtXP2rVriYqKYvfu3ZO6v1arHfMLqVKpvINKoCojWq024KADoFarvW2Bgn+ifn0DZfQ5+fYbKCB0Oh2KogTsV6PReI8Npl/fn+P1O/qx+j6HgfodeQ4DDYZ+/UZFear4jSwPtNlQ6XT0XX45rltuwfLww37XY6mAApWK92NjOTx7Nk80NvI/x46xp7eXVxcvRlGpcBuNGN5/3zP75VOKPbWwkK41a076mk8UL+M9h773Ge+xBtOvy+VCo9HQ3d3t/SYwOzt7wn5Hjp2o39ON75M91tHGe6wqlYqC1BjWL0rg1gUuBtxajg1F8255K59UdVDVPuDdJytOr+bq6gquL87g4rxE9DrNpJ5Dt9t9yr83UzVGTBSHwY4RI7Ezcp+wGyMm6DdUXptQGCNOpd+RYyfqd0R3d7dfUnWux4gRERERuFyus/IczvQxYuT+Z+pzhO/7VXJysowRTM8x4kx/jhj9XjXa2RwjTkVILv+7//77ue+++7jvvvu49957J32c2+3GZDJx44038txzz41pC+VrqmRDvEkYXXAi0PVYK1fCq696C1z0ORx0OhzkGo38vbWVfysvZ6NGwz8WFWGOixtbHMO3FHuYFLiYibHTZ3ewvaKdd8ta2F7R7ncdlkGn4bK5iVw9L4Wr5qUQHxUxQU8z20yMHXH6JG5EsCR2RDDCZfPfkEuqfv7zn/PTn/6Un/zkJ/z85z8/pWNffPFFbr31Vh555BHuvvtuv7ZQT6qGhoZQFAWVSuW31lZMkm8CtGZNwAIX+3t7+WVJCa/29RGp0fD1jAz+OTeXwpGS7v39sHatZ8+rMNpQeKbHzpDTxafHutha3sp7h1pp7rV729QqWJIdx2Vzk1g+J5HizFg0Uq7da6bHjgiOxI0IlsSOCMZUxU1YJ1UPP/ww//qv/8p1110XcIZq2bJlANTW1rJ+/XrWrVvH7NmzUalU7Nixg0ceeYS8vDw+/fRTv4v1IPSTKnEGbdrk2QQ40P5Xn3xCU0ICfwB+V1vLv+bl8cNZs+geHiYKiCgrg7w8z7ETzWKJkKQoCmVNfd4Eq6ypz6/dbNBx6exEls9JZPncJDJi5fUUQgghxFhhnVRdccUV7NixY9z2kVPt7u7mjjvuYN++fbS2tuJyubBYLKxdu5b/+I//8KtSMkKSqhlkvP2v+vuhshIWLQKNBofbjUtR0Gs0fL+0lBfq6/m2Vst3Lr2U7NHJk2woHJYae2zsqGjno8p2dh7toN/ufwFxXlIUqxakcePCdOakBEjChRBCCDEjhXVSdTZJUjXDjLf/1ZYtnvZRSwMP9ffz+Gef8bTdjlVR+FJKCg/k51M0UiZXNhQOe06Xm5KGXj6qbOejyg721/fgcp8Y/gpSTdxQnMYNxenkJEZN0JMQQgghpjtJqsYR6klVX1+fd72o734X4gzwTYDGWxqoKLBrF9bUVJ7RatlUU8OzS5ZQaDKxr7eXHIOBOLc7JDcUltgJTq/NwfaKNv5W0syOI204XCeGwuJMM18qTufq+SnkTuMES2JHBEPiRgRLYkcEY6riRpKqcYR6UiUVcc6R8ZYGWq1QVQVFRaDVen95AYp37ODowAC36fVszM/nvPT0kKoaKLFz+noHHbxT1sLfDjTx8dEOfCawyEkwckV+MlfkJ7FsVgJ63dhyreFKYkcEQ+JGBEtiRwQjXKr/nbV9qoQISQaD/95XIzNOt97q+ftrr4HJ5Lc3wdZly/jj55/zRF8ff9q3jwurq3n5vPPIMBg8M14NDfD734dd1UBxgtmo46vnZ/HV87PosA7x1sFm3iptYU9NFzWdg2zeVcPmXTXodWoumpXAlQXJXDM/hTSzvLZCCCGEkJmqkJmpamlp8W7ClpqaOtWnM3P4ziqdZBbLOX8+W7q6eKm5mc2LFqFRqfhjXR0rYmPJraqasqqBEjtnj3XIycdHO9he0ca2w+209Nn92pda4li1II1VC9JINeun6CyDJ7EjgiFxI4IlsSOCMVVxI8v/xhHqSZUIEZPYUHhEn8NB7gcf0O1wcL1Wy/cWL+a65GTUvkv/AlUNlCIXYUlRFCpa+9l2uJ33D7Wyt7bbr/38nBMJVkpM+CVYQgghhDhBkqpxSFIlTtkkNhQedLl4budOHrPZ2Od0UmgyUXLZZWhG7jdSNfD55+Gpp2R54DTS3GvjrYMtvHmw2S/BUqngfEs8qxakcr0kWEIIIURYkqRqHJJUidNykqqBSno6n8XGUtrfzx3Z2VidTv6lvJxvZWVxvl6PKjUV6utPvjxQZrHCUnOvjTePJ1ifB0iwVhencX1RKsmSYAkhhBBhQZKqcUhSJU7LJKsGjijp6+OmPXuosdk4z2BgY1YW6/LyMGpGVY7r74e1a6XIxTTS1GPjzYPNvHmwmS/qery3q1Rwfk48q4pSuaYwlYxYeW2FEEKIUCVJ1ThCPakqKyvzlossLCyc6tMRgYy3obBP1UBfLkXh7dpaNtXW8lZ/P6uSk/n7BRf49+l0wsGDp1XkQmIndI2XYAEsyDCzsjCFlYWpzE6O9qs4ea5I7IhgSNyIYEnsiGBMVdxISfUw5XQ6cTqdU/LBSkySweApOHHXXWOrBu7dO2YWS2O1snrhQlanplLlctHvdAKwraODh6qq2GixsNpmQzMwAL6b2alUJ0q1b97sX+QiAImd0JUea+Bby2fxreWzvAnWu2Wt7Knt4mBjLwcbe/mfd4+QmxjFtYUpXDs/lUVZsWjU5+a1lNgRwZC4EcGS2BHBCJe4kaQqRERGRqJWq9HpdFN9KmIyfH+xJ9r7asMGWLeOPJ8iFyqg2+Fgzd69ZKvVfNdg4I6hIVIiI/3/j+hoT38jSdU411tJ7IQH3wSrwzrEe+WtvFPWwsdHO6nuGOB3O47xux3HSIiK4Ir8ZK6al8zyOYmY9GfvdZXYEcGQuBHBktgRwQiXuJHlfyGy/E9MI6OTn3GKXOzt7mbTnj0853Dwk7lz+c85cxhyuYhQq098G2O3w003wbvvyvVW05R1yMn2ijbeKWtle0Ub/Xant02nUXFhbgJXzUvm6nkpZMUbp/BMhRBCiJlDrqkahyRVYsqcpMhF19y5aHQ6zDodPz50iHfa29losbA+JYWoQ4cmd72VVA2cFhwuN3tquvjgUBvvH26jumPAr31BhpnVxWmsXpAmCZYQQghxFklSNQ5JqsSUmmSRi20dHTxSXc3fW1uJVqvZYDLxL+edh8U46gO0VA2cEY61W3n/UBvvHWplT00Xbp/RujjTzKoFkmAJIYQQZ4MkVeOQpEqEjNFFLgLMYtV2dPC78nL+MDTEmxdcwNLYWGoHB0nX69Gp1WekaqAILx3WId4u9eyFtftY55gEa/WCNFZJgiWEEEKcEZJUjSPUk6qmpiZcLhcajYb09PSpPh1xLgWaxVq5El59leGICCLUahRFYclHH9E2NMR3LRa+rVKR1toKl16K3W5HURRUKhV6vd4zi3XrrSctcCHC10QJ1sJM8/HNhk+eYMm4I4IhcSOCJbEjgjFVcSNJ1ThCPakqKSnx1uBfuHDhVJ+OmCq+CdCaNeBTNXB/by+bamt5prGRYZeLmyMj+e1llxE5NITidqNSqzHHxHj6AFi1SpYGzgDt/UO8U9bClgPNfFo9KsHKimX1gtRxEywZd0QwJG5EsCR2RDCmKm5knyohwpnvjNLKlX5VAxeZzfy+uJj/r6CA//voI15WqYjV6bANDbG1q4tlsbGYAdxu2L/fM2NlMnmuu3K5PH3t2iUFLqaZJFMkX19m4evLLLT3D/F2WQtvHk+wSup7KKnv4ZdvHqYoI4bri9K4viiVWUnRU33aQgghxLQiM1UhMlM1MDDgXcIVFRU11acjQsFJqgZSVARaLR12O5kffIBOpeIfMzO5S6ulqKcHLrpobJ9S4GLGGJ1g+c5g5aeYuH5BKlfkmclLNKJWq2XcEZMm71ciWBI7IhhTFTey/G8coZ5UCRHQJKsGNths/L6ujifr6mgZGuLqqCjeueIK1KNnoaTAxYzUaR1ia3krb5a2sOtoB06fDGt2cjSrF6RxQ3Eac1JME/QihBBCzBySVI1DkioR9iZRNXC4t5fXSkupTEriP/Pzsbtc/Kqqituzssg0GKCmxnPMpZeO7X90gQsxLfUOOth6qJW3S5v58EgHwy63t21uSjSrF6Rzw8I08mSJoBBCiBlMkqpxSFIlpp3xZrG2bPG0q1R81t3NVbt3Y3O7WZOSwka7nRU6HaoLLxzbn6KARgOvv37i33K91bTWZ3fw/qFW/l7SzIeV7ThcJ94OClJN3HJeJrecl0msMWIKz1IIIYQ49ySpGkeoJ1WDg4Pe9aLG0Ru9CjGBwcFBb/U/o9EImzb5Fbjoczj4S2Mjj9XUUG61cqvZzPPLlwfuzG6Hm26Cd9+V661mAN9xx6HSsbW8lb8faGJn5YklgpFaNTcUp/P1ZdksyopFJYn2jCfvVyJYEjsiGFMVN5JUjSPUkyopMyqCNSZ2xlkaqPT389GhQ7hycrgyJYXPurv5Q309Gy0WFpnNcr3VDDTeuNMzOMzfDzTzzKd1HGru895emB7D15dZWLMoHWOEFI+dqeT9SgRLYkcEI1xKqodGRnHc9u3bUalUAf/s3r17zP3fe+89LrroIoxGI4mJiWzYsIG2trYpOHMhQojB4EmAbr3Vs5zP4QCNBtW6dVz2H//Blce/5WkeGmJLayuLP/qISz7+mGf27WNIr4eYmBPL/lQqT4LV0OBZajhiZnwXM2PFGiP4+jILb37/Ul6+62JuXpxBhFZNWVMf97xykAt/8T73vHKQT6o6cbklFoQQQoiQ/Krxl7/8JVdeeaXfbUVFRX7/3rFjB9dffz2rV6/m9ddfp62tjR/96EdcddVV7N27l8jIyHN5yqctISHBu1u0EKciYOwYDJ6CE3fdNbbAxd690NDAmpQUViUn80ZLC5uOHePrra0cNZm4F7zT7F7R0Z5rtRRFSrFPIycbd1QqFedZ4jjPEsdPbpjPS5/X88ynddR2DvLcZ3U891kdyaZIbihO50sL02R54Awh71ciWBI7IhjhEjchtfxv+/btXHnllfz1r3/llltumfC+F1xwAQMDA5SUlKDVenLDXbt2cckll7Bp0ybuGlXBLNSX/wlxzgQqcLFyJYf+8hfio6NJiYzkF5WVfNrTw/csFq5JSkI9sqHwnDmyNHCGc7sVPjnWyev7G3m7tIU+u9PblhVv4EvF6XxpYToFqSZJsIQQQoStsL6marJJVWNjI5mZmfz3f/83P/7xj/3a8vPzsVgsvPvuu363S1IlRAC+s1hr1oDLBSoVLzQ18cvKSg7095NnNHKXycQ3h4eJu+SSsX0EKsUulQNnhCGni4+OdPBGSRNby1uxOVzetlmJUawuTmN1cRr5KZJgCSGECC9hfU3ViO9973totVpiYmJYuXIlO3fu9GsvLS0FoLi4eMyxxcXF3nYhxEn4ftBdudIz8wTcmp7O/ssuY+fFF3NhbCz3tLZy0GwGPNUE/URHe2a9bDZP5cE1a+D66z0/N23y3C6mpUithqvnp/DobYv5/L+u5re3Leba+SlEaNUc6xjgtx8c5bpHPuKq/7eD//duBYdb+gih7/GEEEKIMyakZqr27dvH008/zRVXXEFCQgJHjx7lV7/6FUeOHGHLli2sXLkSgGeffZavfe1rfPLJJyxbtsyvj+9+97ts3ryZoaEhv9sDZZt1dXVYLBZiYmK8tw0NDXH48GEA4uLiyM7O9jumsrKSwcFBgDEVSDo6OmhsbAQgOzubuLg4b5vL5fImeyaTiVmzZvkdW11dTV+fp8pWYWGhd0kjQE9PD7W1tQCkp6eTlJTkd+yBAwdQFAWDwcDcuXP92urr6+nq6gI8s3h6vd7bZrVaqaqqAiA5OZm0tDS/Y8vLy73VVubPn+/X1tzc7C0KkpeXR3T0iY1C7XY7FRUVAMTHx5OVleV37JEjR7DZbKhUqjGJcXt7O01NTQBYLBZiY2O9bU6nk7KyMgBiYmLIzc31O/bYsWPe17ioqMhv7W13dzd1dXUAZGRkkJiY6HdsSUkJAEajkTlz5vi11dXV0d3dDUBBQYHf9Xp9fX1UV1cDkJKSQmpqqt+xZWVlOJ1OIiMjKSgo8Gtramqivb0dgNmzZxMVFeVtGxwcpLKyEvCsJc7MzPQ7tqKiArvdjkajGXO9YVtbG83NzQDk5ORgPp4MAQwPD3Po0CEAzGYzOTk5Jw602ehftw4aG3EbjcTExKAC6O+n/fBhYhYswO5wsHL/ftzA93Jz+Wp6OgaNBrfNRk9kJLrWVtQmE1HR0X7LA2t/8hN6jv9Ozps3j4iIE/se9fb2UlNTA0BaWhrJycl+j6e0tBSXy4Veryc/P9+vraGhgc7OTgDmzJnjV2p1YGCAo0ePApCUlER6errfsYcPH2ZoaAitVkthYaFfW0tLC62trQDk5ubKGMGpjRH9dgcvf3KEt0pb+LzZjvPE/sLMSopixdxE5hgHmZsQQWJCgowR4TJGAFVVVViPf/myYMECv29sOzs7aWhoACAzM5OEhARvm9vt5uDBgwBER0eTl5fn129NTQ29vb2AjBEzYYwA+RwxQsYIj1AcI6xWKy6Xy+/+E81UnbVCFSNL+SZj3759LFq0iMWLF7N48WLv7cuXL2ft2rUsWLCAf//3f/cmVSPGW04y2WUmTqdzzLemiqLgOP5NvNPpDHiMY/Q39ce53W5vm9vtHtM+Ub89PT3eF270Ofn2O/rFHelXURR0Ot2YNpfL5T02mH7He6y+/Y5+rL7PYaB+R57DQK/TZPs9l6+Nb78Txct4z6HT6Qz4CzjRazOZfh0OBy6Xi4qKCu+bVn5+/oT9+j7WMf0aDDTdfz+Rzz+P+ZNPUBwOVHo9rFtH0pYtDA0P43a5+H5GBk+1tbGhpIR/KS/njqwsfqzXo42MxBUVhfdV9akcaHzxRdpXrRp5cKf0WIeHh3G73QEvUD0Tz2Gg52iy/YZKHAY7RlRUVDA4OHhaY0+gx2rS67h6jpkik41Bh4lGJZ73K3v48Eg7x9oHONY+AEBspJpLcgf48rIILs5LRK/T+D1WGSPOzBhxKv2OHHuyfsHzwdb3Q95kn8NAr4HvOY0mY4T/OU2m31D9HOH7fhUVFSWfI5jeY8RowY4RFRUVDAwMBDxm5BzP1hhxKs5aUpWfn8+TTz45qfuO/hbHV2xsLDfccANPPPEENpsNg8HgzWxHMktfXV1dxMfHT+r/1Wq1Y34hVSqVd1Dx/ZbH95hAgw6AWq32tgUK/on69Q2U0efk22+ggNDpdCiKErBfjUbjPTaYfn1/jtfv6Mfq+xwG6nfkOQw0GE6233P52vj2O1G8jPcc+t7H10SvzWT6HamEY7fb/QbGifr1fawBXxuTid7bbqP3tttYUFTkKckOoCion3kGtVbL6qQkbsnKonZ4mCfq6nilqYl78/JwRkdTOjBAsc83tgBER2Pcvp1Uux3Trl1odDowGr2VA0/2WCMiInC5XGflOXS73af8exOKcRjsGGG3271xE+h38kyMEWYdLMlL5baLZ9Nvd7C9op23DzaxraKNniE3Ww73sOXwXowRGpbPSWRFQTLZOjDKGHHGxohT6Xfk2In6HWG32/3aJvscnuyxjiZjhP85TabfUP0c4ft+FRMTI58jmJ5jxOk+h6OPt9vt3s/Jgfo+m2PEqQip5X/jufPOO/nd736HzWZDr9d7C1U8+OCD/OhHP/K7b0FBAdnZ2WFXqKK0tJTh4WEiIiLGTMMKMZFzEjvjbCiM1Yo7IwN1WxvdajVp771Hul7PndnZfDM7m8SICE/xC6kcGJKmctwZdrr5tLqTreWtbC1vpbnX/wP6/LQYrixI4sr8ZBZlxaLVhMZYLeT9SgRPYkcEY6riJqyr/wXS3d3NggULSEpKYt++fd7bL7zwQgYHB9m/f783K929ezcXXXQRjz/+OHfeeadfP6GeVAkR8gKVYr/uOtiwAdatQ3E6+ay3l021tbxwfD37benp/DEmBnVrK1x00dg+R1cOlKqBM5KiKJQ29vH+4Va2VbRzoKHHb5Wo2aDj8rlJrFqQyhX5yd5lgkIIIcTZEtZJ1fr168nOzmbp0qUkJiZSWVnJww8/TFVVFW+99RZXX321977bt2/nmmuu4Utf+hIbN26kra2NH//4x5jN5oCb/0pSJcQZNDr52bQJXnzRMxMFdAwP81R9PbWDg/yv1YozJYVnIyK4JS0No+/U/Mjws2qVbCosvDqsQ3x4pJ1tFe18eKSdXtuJ9fXGCA1Xz0thdXEal89NkgRLCCHEWRHWSdWDDz7ICy+8QHV1NVarlfj4eC699FLuuecezj///DH337p1Kz/96U/Zv38/RqORG264gV/96ldjqn6AJFVCnFXjLQ/s74fKSj62WFi+ezdmnY7bMzO5y2JhTnS0LA0UJ+V0udlX38PW8la2HGimsedEif7oSC1Xz0tmdXE6l81NJFIrCZYQQogzI6yTqrNJkiohzrLxlgdu2QJAtc3GE7W1/LGujk6Hg40WC49FR0NLiywNFJOiKAr763vYcqCZLQeb/a7DMht0rFqQxtrFGSy1xKFWS6wIIYQIniRV4wj1pKqtrc1bhSXQTJsQ4wnJ2PFNgEYtDbS7XPy1uZkojYaba2oojY3lDa2WO7KzSfFdtitLA8+6kIydSXK7FfZ5E6wmWvtO7E2YEWvgxkXprF2cwdwU0xSe5fQUznEjppbEjgjGVMWNJFXjCPWkqqSkxLt3w+jNAIWYSMjHzkmWBv45KYnvlpbiVBRuSUtjY04Ol8TFoXK7ZWngWRbysTNJLrfC7mOdvLavkbdKW7AOndgnZl5aDF85L5O1izOIi4qYoBcxWdMlbsS5J7EjgjFVcXOquUNoZBRCiOnLYPAkQLfe6tn3yuHw/Fy3DpYs4R+ysmi8+moenDePPT09LN+1i4eqqqCuDoaHISbmxKyXz4bCbN48pQ9LhA6NWsUlsxP51VcWsvcnV/PY+iVcPS8FnUbFoeY+fvb3ci785fv883P7+PhoB273jPguUQghxDkkM1UhMlPV29uLoiioVCrMZvNUn44II2EXOxMsDXQrCu91dDA3KoqckhKeiIigPDKSuywW5plM/n1oNPD662P7FJMWdrFziroHhvnbgSae/6ye8uY+7+1Z8QZuXZrFLedlkWrWT+EZhqfpHjfi7JHYEcGYqriR5X/jCPWkSogZ6SRLA38bG8vPq6poHx5mRUICG3NyuDElBZ1aDXY73HQTvPuuXG8lTqq0sZfn99Tx+r4m+o8vD1SrYPmcJNYuzuDawhSMEdopPkshhBChQpKqcUhSJUSIOknVwCG3m5dbWthUU8PH3d28fcEFrIyPx33gAOrZs+V6K3FKbMMu3jzYzAt76vmspst7e1SEhpVFqaxdnMHFeYlopHqgEELMaJJUjUOSKiHCwARLAwEO9vVRaDKhrqhgdVMTUWYzGy0WLk9IQDVynJRiF5NU3THAq/saeW1fI3Vdg97bk02RrFmUzppFGRSmx5yILSGEEDOGJFXjCPWkanh42Pv3iAipUCUmb9rGznhLA61WlKNHeSwmhsfq6zlstTI/OpqNOTncnpWFceR3Wkqxn9S0jZ1TpCgKX9R188oXjfz9QDO9Noe3bVZSFF8qTufGRenkJUVP4VmGDokbESyJHRGMqYobSarGEepJlZQZFcGa1rETaGngypXw6qug16MoCts6O3m8tpb3OjqoWbECs1pN6+efk1JQIEsDT2Jax06Qhp1utlW08dq+Rt4/3Maw0+1tm58Ww5cWpvOlhWlkxhmn8CynlsSNCJbEjghGuJRUl6tyhRChy2DwLOO76y7/ZXzvvAMuFyqVihWJiaxITMTqdBKt1dJ30gzVuAAAIABJREFU9Ciz29pY7HSy0WLh5rQ0ItRq/1LssjRQjCNCq2ZlYSorC1PptzvYWt7K30qa+Kiyg/LmPsqb+3jo7cMszo5l9YI0Vi1IIz1WknQhhJjpJKkKEWaz2btbtBCnYsbEjm/ys3LlmOutorWe4czQ1safMjN5bHCQ2/btI6W8nO9kZ3Pf3Lmoo6M9BTAURZYGMoNiJ0gmvY6bl2Ry85JMugeGeau0hb+VNLG7upN9dT3sq+vhgS2HOM8S502wZkKJdokbESyJHRGMcIkbWf4XIsv/hBCn4CSl2Fm0CDQayvr7ebymhuahIV5euhS308mHn33G5YWFqEY2FZalgeIUtfXZeau0hS0HmtlT24Xvu+hSSxw3Hi9yYTbopu4khRBCnBa5pmocklQJMc2cpBS778zWyKaB20tLubKmhrlRUWy0WPhGVhaxuuMffEdXDRRiElr77Lx1sJktB5vZU9PtvV2vU3NDcTrrL8xmcVasVBAUQogwI0nVOCSpEmIaO0kpdu/ddu1iZ0wMm4aHeam5mQi1mn+bNYv78vM9fWg08PrrY/sUYhJaeu1sOdjMX/fWc7jlxPtNQaqJ9Rdmc9PiDGL0MnslhBDhQJKqcUhSJcQMMcmlgS12O3+oryctMpI7srM5NjDArrY2vvKtbxG5bduMv95KBM9Tor2HZz+t4+8Hmhg6XkHQoNNwQ3Eat5yXyfk58ahlg2EhhAhZklSNI9STqqqqKm+5yLy8vKk+HRFGJHYCOIWlgSMeP3aMjeXlJOl03JGdzXctFnIMhvGvt5oGM1kSO2df76CDV/c18OxndRxptXpvz4o3sHZxJl9ekoElIWoKz/DUSdyIYEnsiGBMVdxISfUwZbVavQEjxKmQ2AlgvFLsijLu0sC7hodZkZ3N4xoNj9fW8lBVFb8tKuJ7OTknSrFv2ABPPTVtKgdK7Jx9ZqOODZfk8o2Lc/i8tpu/7m1gy8Fm6rtsPPp+JY++X8n5OXHcvCST1cVpYbE8UOJGBEtiRwQjXOJGkiohxPTmO5t0++2wa9fYpYFWK9jt5BcV8YhWyy/y83m2sZFL4uMBeKGvj4bf/pbbP/iA+LY2T1Km04HL5UnSdu2SyoFiQiqViqU58SzNiee+Gwt5t7yFl79oZGdlO3tqutlT0829b5Rx9bxkblqUwRX5yURoQ2MlhRBCiJOT5X8hsvzP7XZ7/x4q5yTCg8TOKQq0NHDlSnj1VdAH3mPopxUVPHT0KGqVinXp6WzMyeH82NgTdwjTyoESO1Ovtc/Oa/saefmLBr/lgWaDjlUL0li7OIOllriQuv5K4kYES2JHBGOq4kauqRpHqCdVQogp4Ls0cM0az8xToOukFIW2zz7jj/HxPFFXR53NxrsXXsg1SUkn+pHKgeI0KIpCWVMfr+9v5I2SJlr7hrxtGbEGbvz/2bvz8Kjqs+Hj39ky2fd9DwHCEkjYkbqLC2BVFAWXCuhjfcA+7du3z+tj7SJ9utnaq7WLWkWrrVtVtC6lilYWRTbZAgmEJclMMtn3PZntvH8MGWaSTEhGkpnA/bkur7TnzPnlzOTmN3PP7z73yU9m2YwkpieHS3t2IYQYA5JUeSBJlRBiSEO0YqetDerrITsbm6LwUV0d18fFoVWrua+ggGidjnWJiWTfdRd8/PEFcb2V8B2bXWFPaSPvHqrko8Ia2nutzn0ZMcEsyU1i2YwkclMkwRJCiNEiSZUHklQJIYbkqRV7RwekpUHzmRu79rup8CPFxWwsL6fZYuGGqCjWZ2ezNCEBDXjuHCjEMPVYbGwtruP9w1VsO1HnbM8Ojg6CS3OTWDIjibzUCEmwhBDiPJKkygN/T6oaGxux2+2o1WpiYmJ8fTpiHJHYOY88tWLv6/rnYSWr69gx3ujo4KneXgrb2zEtXkxsQAC9Nhv6ri736638qDRQYmd86ey1su1EHR8erWFrcR3dFptz34TYEG6bk8pts1NJjBj82sDzReJGeEtiR3jDV3EjSZUH/p5UFRQUONtF5uXl+fp0xDgisTNK+ic/Q61klZRAbi5otZR1dZEVHEyXzUb21q0sjo3loYwMFtx1Fyo/Kw2U2Bm/us02tp+o41+FNXx6vJYusyPBUqvg8slx3DE3jWumxqPXas7775a4Ed6S2BHe8FXcjDR38I+M4ow1a9agUqk8/rdnz55zPnbKlCk+fAZCiAtG/9WkoCBHGd/KlY6mFBaL4+cdd8CUKaB13KEiKzgYcJQGfm/CBHY1NXHJrl3MeeQRni8rQ9Fqz7Zif+ABR7ImxAgFBWhYMiOJP945iy9/sJhfr5jJ/Mxo7ApsP1HP+lcPsuAXn7Lh/SKKa9p8fbpCCHHB86uVqpKSEurr6wds//rXv45er8doNKLROL51W7NmDW+++SZbt251e2xQUNCgWay/r1TJkrjwlsSOjwyzc6C9tJQtFRU8HRREq9XKZ4sWoSgKpV1dZNvtPi0NlNi58JQ1dLLpQAVvH6ikpq3HuX12eiR3L8hg2cwkAnVfbfVK4kZ4S2JHeEPK/86THTt2cOWVV/LDH/6Qn/70p87ta9asYdOmTXR0dAxx9Fn+nlQJIcaxoToH7t4NiYmQlYXZbidArebzxkYu372ba2NjWZ+RwY2rV6P997/9qjRQjG82u8Lnp+p5c38FHxfVYrU73uojgnSsmJPKXQvSyY4L9fFZCiGE/7rgkqp7772XV155hZKSErKyspzbJakSQvgNT9dbtbfDqVOQn+8oFTyjx2ZjU3U1TxkM7GlpITUggO9PmsT6rKyz12lJ10BxntS19/DWfhOv7S2nsuVsuenCCdHcvSCD66cnEqCV90IhhHA1rq+p6q+1tZVNmzZxzTXXuCVUfbq7u0lMTESj0ZCamsq3vvUtmpqafHCmQoiLmqfrrVatgtmzod8EHKjRcE9qKrtTUjgQEcENCQl02ByNBqp7e/ncbEapqHB0Iuzj399/CT8WHxbIQ1dN5LOHr+LFNfNYPDUBtQr2lDbxX68fYtHjW3liSzGm5i5fn6oQQoxbWl+fwFBef/11uru7uf/++wfsy8vLIy8vj9zcXMBRJvi73/2OTz/9lC+//JLQ0HOXNRQVFZGRkUF4eLhzW29vL8XFxQBERUWRnp7udsypU6fo6upynoOrhoYGKisrAUhPTycqKsq5z2azUVhYCDiy3AkTJrgdW1pa6syGp0+fjlZ79k/T0tKC0WgEIDk5mbi4OLdjjxw5gqIoBAUFMXnyZLd9FRUVzkQzJyeHwMCzrXY7OjooKSkBID4+nqSkJLdjjx075uy2Mm3aNLd91dXV1NXVAZCdne32evf09HDixAkAoqOjSUtLczv25MmTdHd3o1KpmDlzptu++vp6qqqqAMjIyCAyMtK5z2q1UlRUBEB4ePiARNv1NczNzXVefwfQ3NxMeXk5ACkpKcTGxrodW1BQAEBwcDCTJk1y21deXk7zmXsUTZkyBb1e79zX1tZGWVkZAAkJCSQmJrodW1RUhNVqRa/XD2iiUlVV5byGcOLEiYSEhDj3dXV1cerUKQBiYmJITU11O/bEiRP09PSg0Wjc/jZqtZq6ujqqq6sByMzMJCIiwrnfbDZz/PhxACIiIsjMzHQbt6SkxLn6O2PGDLdvYxobGzGZTACkpqa61TXb7XaOHj0KQGhoKNnZ2W7jGgwGWltbAZg6dSoBAQHOfa2trRgMBgCSkpKIj493O7awsBCbzUZgYCA5OTlu+0wmE42NjQBMmjSJ4DNNIgA6Ozs5ffo0AHFxcSQnJ7sdW1xcTG9vL1qtlunTp7vtq6mpoba2FoCsrKzhzRFBQbBuHacWL6arsxNUKsccoSjO0kCz2Ux3T8+ZhwcRUFPD7NRUNmZloSgKrW1tPF9RwY/LypgRFsb6pibu7u4mbMcOupqbsajVtC9aROL3v4/WpdTQ2znCbrdjMpmc8S1zxIU5R/S9T2rUKq6aEs/0aDgyScXHJZ1sM/ZS39HLU9tKeGZ7CVdMiuXSJIVZiYFER0UOOUf0f6+SOcLBV58jysrKaGtzNCXx188RdvvZ+6zV1tbKHIF/zRF9/O1zhN1up7y8fMzniL5/p8M1aknV9u3bueqqq4b12EOHDpGfnz9g+wsvvEBMTAzLly8fsO+73/2u2/+/9tprmTVrFitWrGDjxo0D9g/GarXSv/pRURQsFotz/2DH9O3vz263O/e5Thx9hhq3ubnZeS79z8l1XJvNNuBYi8WCoijodLoB+2w2m/NYb8b19Fxdx+3/XF1fw8HG7XsNB7tR5XDHHcu/jeu4Q8WLp9fQarUOulQ81N9mOONaLBZsNhtHjx51azU61Liuz3Wkf/PhvoaDHe96Tv2d67mazWbsdrvbm9tg43r7Gg72Gg13XI/x4rp97VrYtQtMJhSdDsVuB0VB1dYGAQHg8oFLsdt5KDmZvPBwXqyp4aHCQh5++GGeys1leXQ0itlM+JYtqA0GeOEFZ2mgt3NEX+y4PjdXMkecNZ7niMHGjQxQuGNqMP9vaS5fVvXyyh4ju0oa2XaygW0nIT5YzU3TzTwYk0RcmH7AuOD4oOL63i1zxMBx/SUO/eVzhOv7VUxMjMwR+O8c4U+fI/q/V/U3mnPESIxaUpWTk8PGjRuH9dj+3+KA41uT/fv3853vfMctox/K8uXLCQkJcWu9PhStVjvgH6RKpXJOKq7f8rgeM9ikA45Vgr59gwX/UOP2PwdP4w4WEDqdDkVRBh1Xo9E4j/VmXNefnsbt/1xdX8PBxu17DQebDIc77lj+bVzHHSpePL2Gro9xNdTfZjjj2mw2NBrNgAlkqHFdn6uncb/qa3iu59rfuZ5rQEAANpttVF5Du90+4n83I47DvtLAl16C999HbbOh6PWYly1Dt327+9hqNRrgmpgYbrJaqejt5dnYWKaEhaFWqdja2kq7zcaqigr0L73k7BqoHsZz9TRHuD5G5ogLc44YatwArYalM5JYOiOJkvoOXt5Vxlv7K6jrsvP8l/X89eCnXDctkbsWpHPJhBiPrx/IHDHYuP4Sh/I5YuC4/vK38fc5wl8+R/R/jKvRnCNGwm8bVXznO9/hD3/4A0ePHh2wLOmJ3W4nLCyMm266iddff33APn9uVFFSUuL89qZ/WYQQQ5HYGWdc26YPs2tgn3VHj/Jno5EkvZ5vpqfzwJo1pOzd63XXQIkdMZhus40PjlTx2t5yDle0OLdnxgSzan46c2OshGoViRsxYjLnCG/4Km4uiO5/vb29JCcnM3HiRPbu3Tvs4958801WrlzJk08+yXe+8x23ff6eVAkhLkIj7BoIcKStjWfKynjZZKJHUfh04UKuiI2VroFiVByrauP1feW8e6iS9l5HWZNOo+K66YncsyCDhROiR/xtrhBCjAcjzR00GzZs2DAG5zUib7/9Ni+//DKPPfYYc+bMGbDfaDSybNkyurq6aGpqoqSkhBdeeIFHHnmEnJwcnnnmGbcL2MBRF2k2m9226fV6eTMQQviOTgdLloDVCqWlYDY7tt1yiyNBUqkG3Aw4Qa/nxu5uHrJYSJs4kRsTEtCq1fzgxAmOm83k9PQQaLfDvHmOA8b4hsLiwhIXpufqKfGs+VomGdEh1HX0UtXSw6naDt4+aGLz0WpsdoUJcaFf+abCQgjhT0aaO/jlStV1113Hrl27qK6uJmyQspjm5mbuv/9+Dh06RG1tLTabjYyMDJYvX86jjz7q1qWkj6xUCSH8npelgYqicM+hQ7xRXU2gWs09KSk8dM89zCgslBsKi/OuqKqVV/c6Vq+6zI5rOoN0Gm7KS+aehRnMSB34HiyEEOPNBVH+NxokqRJCjCtelAZWdnfzvNHIs6Wl1CsKVddcQ1xgIIrdjqqzU0oDxXnV3mPh3UOVvLKnnBO1Z99fZ6ZGsGJOKl+fmUxUSMAQIwghhP+SpMoDf0+qDAaDswtL/57/QgxFYucC1t3t6Br40UdnV5xuuAE2b3bsH6wEoawMS3U1X06ZwqLoaMx2O/N37uTG+HgejIkhbfVqZ9dAg8GAzWpFo9VK7Ihh6z/nKIrCfmMzr+wx8uHRGsw2R6tknUbF1VPiuW12KlfmxBOg9Y/3W+E78n4lvOGruBlp7uDXN/+9mLS2tjo7mwgxEhI7F7AzNxRm3Tr30kCXGwoPUFODLimJRdHRAHTZbFwWHc0fDAZ+efo0NxmNrE9LY7HRSNRbb51N1u64Q8oDxbD0n3NUKhXzMqOZlxnNj27s5b3DVbxz0ERRVRtbimrZUlRLVLCOm/KSuW1OKjNSIuR65ouUvF8Jb4yXuJGvjYQQYjxw/RC6dq2jlK+93ZFggePnIDcUjtTp+GNuLlWLF/PUjBmUdHTw8L33whtvgN1OK4Dd7kjSHnjAsTomhJdiQ/Xcf2kWm799GR/9n8v45uUTiAvT09xl4a+7jdz0py9Y/NsdPLXtNJUtEmtCiAuHlP/5Sfmfa3eR/p0LhRiKxM5FypvSQEVBMRppCA0lLjaWfU1NXLlnD3cmJ/NQVhaz1WpYudJZHiidA8VgRjrnWG12dp5u4J2DlWwpqqHXanfuWzghmltnpbJkRiJhgf79LbT46uT9SnjDV3Ej11R54O9JlRBCeG24XQPb26GpybGSpVJR39vLc+Xl/NloxNTTw8LISP57wgRuu/9+2LJFOgeK8669x8KHhTW8c9DEntIm53a9Vs210xJYMSeVyybFoVFLMi+E8C1JqjyQpEoIcVHw1DWw78bAtbUQGOh2iNVu5591dTxVVsacnh4enzOHJr2eNpuNzKAguamwGBWVLd28e6iSfxyq5HRdh3N7QrieW2ensmJOKtlxoT48QyHExUySKg8kqRJCXDQ8lQauWQOrVoHN5rFzoL26GvWiRfzq9Gm+X1zMsvh41mdmcn1gIOpVq6Q0UJx3iqJwtLKVdw5W8u7hSlq6LM59s9MjuX1uGstmJhEu5YFCiDEkSZUH/p5Utba2oigKKpVq0JsXC+GJxI4YUv/kx6U80GI5++FVp9O53VS402rl9aoqnjIYONzWxoTgYH43bRo3rV0rpYEXudGcc3qtNrYer2PTARPbT9Zjszs+ogTq1Fw/PZHls1K4dGIsWo1/vHeLkZH3K+ENX8WNJFUe+HtSVVBQ4GwXmZeX5+vTEeOIxI4YEZfywFa7/ewblUo16E2FFUVhb0sLT5WVcX9PD1fm5rLXakWtVjMvIkJKAy9CYzXn1LX18O7hSt7ab+KUS3lgXJieW/KTWT4rlWnJ4aP2+8X5J+9Xwhu+ipuR5g7+kVEIIYQYG0FBjgRo5UrQaFBZrY4katUqmD0b+r1ZqFQqFkZF8XJUFFeqVBAezpMGA/N37mTezp282NJCt9HoKDfsc3F8VydGWXx4IN+8PJuPv3s57z30NdYsyiQ6JID69l42fl7G0j98zg1PfsZzn5VQ397r69MVQlzkZKXKT1aq6urqnHeLjo+P9/XpiHFEYkd4q66uDpvVikardcTOUJ0DXUoDbYrCh3V1PG0w8FF9PZE6Hf+aN4+Fd98tpYEXAV/OOWarnR0n63nnoIlPj9dhtjnas+s0KpbkJvGNSzKYmxElNxf2U/J+Jbzhq7iR8j8P/D2pEkIIn/PUObC9fdDSQICSzk6eNxr5QWcnoTk5/KGhgayQEJbGxaHp7JTSQDFqWrss/PNoFW/tN3G4osW5fUpiGN+4JINb8lMI0Wt9eIZCiPFspLmDZsOGDRvG4Lx8TlEUt5uHAej1evk2Swgh+uh0sGQJWK1QWgpms2PbLbc4rp1SqQZ0/IsOCGBxRwcBbW0o2dk8UlzM4yUl/NVkokerJaenhxBFgXnzHAdI10BxngTqNMxMjWTV/HQWT03AZlcoqe+gpq2XrcV1vLzbSF17L6lRQUSH6H19ukKIcWakuYOsVMlKlRBCDG64NxV2KQ0E+LKlhWeMRl6vrATAdM01xNxyi5QGilHX2mXhrQMVvLLHiKGxy7l9bkYUK+c5WrMHB8jqlRDi3KT8zwNJqoQQ4ivwojSw0WxmW10dK2prsU2cyC0nTnBTQgJ3JScT0tMjpYFi1NjtCjtPN/DyHiNbi+ucrdnD9Fpuyk/mzvnp5KZIS28hhGeSVHng70lVYWEhZrOZgIAAcnNzfX06YhyR2BHeGnHseLqp8ObNjv0ebihMTQ31s2dz/5Ej/LO2lnCtljVpaayLjSVn7Vq5ofA4M97mnNq2HjYdMPHGlxWUN51dvZqeHM6q+eksn5VCqFx7NSbGW+wI/+CruBlp7iCziJ+w2WzY7XZsNpuvT0WMMxI7wlsjjp2gIEcCtG6dewKkKJ5LA2tqIDGROL2e9+fNw9DVxbNGI89XVPBRXR3H//lPVIqC/aOPUJvNUho4Doy3OSchPJCHrprIuiuy2VPayN+/rOCjwhqKqtr40buFPP6v49w6O5VvXJLB5IRBYlicN+MtdoR/GC9xI0mVnwgMDESj0aDT6Xx9KmKckdgR3vpKseO6orR2LezaNXhpYEAApKc7H5oZHMwvp05lw+TJGDo6UB06RFFtLTcUFfHN9HT+Iy2NpDffdIznWhooq1h+Y7zOOWq1ikUTY1k0MZbmTjPvHKrk1b1GSus7eXmPkZf3GFmQFc03Lsng+umJ6DT+UclyIRmvsSN8a7zEjZT/+Un5nxBCjGtfoTSwLC+PX5w6xWtVVZjtdm5LSuLb8fEsWrPG0X1QGlyIUaIoCrtKGnl5t5FPjtc6r72KC9Nz57w0Vs1PJzlSYk2Ii5FcU+WBJFVCCDFGvOwa2GKx8NeKCp42GrkuJoY/2mx0ZmZiDw0lTKdzjNvRIQ0uxKiobu3m9b3lvLavgoaOXgDUKrgqJ567F6ZzxeR4NGpZLRXiYiFJlQeSVAkhhA940TVQURS6ysoIqariyeRkfnzyJPempLAuM5PpYWGOY1eulAYXYlSYrXa2FNXw6l4je0qbnNtTIoNYOS+NlfPSSAgP9OEZCiHGgiRVHkhSJYQQPuJNaeC+fQCYZszg2fJyNpaXU9vbyxXR0fzv5MlcHhMDS5dKaaAYVSX1Hby+t5xNB020dFkA0KhVXDMlnhVzUrlqSrxceyXEBUqSKg/8PakymUzYbDY0Gg2pqam+Ph0xjkjsCG/5JHaGUxqoKI5GFSkpkJkJgNlu553qap42Gvl/mZl8vbqa4ykphEdEkBIUJKWBY+hinHN6LDY+LKzmtb3lfGlodm6PDgngprxkVsxJZXpyOCpZMR3SxRg74qvzVdyMNHfQbNiwYcMYnJfPKYqC2Wx226bX6/1mAiwrK6O9vZ3e3l4SExN9fTpiHJHYEd7ySey4zrm5ubBjBzQ0OLoE9pUGdnQ4/ps4Ec68eWlUKnLDw1mblsbk+npUbW18s6ODdYWFHGlrI1avJzMyElVDA1itMG/e2d8j5YHn1cU452g1aqYmhXPH3DSWzkgiUKemvKmbxk4zhytaeG1fOR8V1tBltpIeHUyI3PdqUBdj7IivzldxM9LcYUyWadrb23n44Ye57rrriIuLQ6VSMVQud/DgQRYvXkxoaCiRkZHceuutlJaWDvrYP/7xj0yZMgW9Xk9WVhY/+clPsFgso/RMhBBCnDdBQY5VpZUrHddVWSyOnytXwve+5ygbHISqthYSE/lrfj6/nz6dYx0dXLNnD9N27OCwzeYoM+zudqyE3XwzLFni+Pn00x7HFGK4JieE8YNl09jz/at5cc08ls1MIkCr5kRtO7/8sJiFv/yUB/62n+0n6rDbL4piICEEY1T+ZzAYyM/PJy8vj8mTJ/P888/z2GOPDZpYFRcXM3/+fPLz83nkkUfo6enhxz/+Mc3NzRw+fJi4uDjnY3/+85/zox/9iEceeYTrrruOL7/8kh/+8IesXr2a5557zm1cfy//6+rqQlEUVCoVwcHBvj4dMY5I7Ahv+V3suK4ojaDBhaIofNbUxHNGI3/KzSXKbueN7m6mdHeTl5TkvgIm5YFfmd/FjR9o7baw+Ug17xw0sd94tjwwPTqYuxakc/ucVGJC9T48Q/8gsSO84au48ctrqvp+hUqloqGhgbi4OI9J1R133MG2bdsoKSkhPDwcAKPRyKRJk/jud7/Lr371KwAaGxtJTU3l3nvv5dlnn3Ue/4tf/IIf/vCHFBYWMm3aNOd2f0+qhBBC9ONNgwtFwW40kltayvGuLr4WFcX6zExuS0xEr9FI50Ax6k7XtfPKnnLePmiivccKQIBGzZIZidyzMIO5GVF+c+mBEMIzv0yqXA2VVFmtVsLDw7n33nv585//7Lbv+uuvp6ysjJMnTwLw6quvcs8997B7924WLlzofFx1dTXJycn8/Oc/59FHH3Vul6RKCCHGseHe+6q9HZqasKSm8n5dHU8ZDGxrbCQ+IIDjV15JtE7neJx0DhSjrNts44OCKl7Za+SIqdW5fUZKBA9eMYEluUly3ysh/NhIcwe/yihKSkro7u5m5syZA/bNnDmT06dP09PTA0BhYSEAM2bMcHtcUlISsbGxzv1CCCEuAK7f7K9d6yjja293JFtwtjQwNRUSEtBpNNyWlMTWSy7h2BVX8P2JE4kOCECx2Vi/bRsfP/MMdqsVdDqw2RxJ2gMPyDVX4rwJCtBwx7w03v/Wpbz/ra+xcm4aeq2ao5WtfOu1Q1z1m+28vMdIj8Xm61MVQpwHftWeprGxEYDo6OgB+6Kjo1EUhebmZpKSkmhsbESv1xMSEjLoY/vGGkpRUREZGRnOMkOA3t5eiouLAYiKiiI9Pd3tmFOnTtHV1QVAXl6e276GhgYqKysBSE9PJyoqyrnPZrM5E72wsDAmTJgwYNzOzk4AcnNz0WrP/mlaWlowGo0AJCcnu11XBnDkyBEURSEoKIjJkye77auoqKCpyXHzwpycHAIDz96wsKOjg5KSEgDi4+NJSkpyO/bYsWNYLBZ0Op1bKSU4VgTr6uoAyM7OJjQBZ4djAAAgAElEQVQ01Lmvp6eHEydOAI6/RVpamtuxJ0+epLu7G5VKNSCBrq+vp6qqCoCMjAwiIyOd+6xWK0VFRQCEh4eTlZXldmxpaanzG4Xc3Fw0LjcUbW5upry8HICUlBRiY2Pdji0oKAAgODiYSZMmue0rLy+nudlRI9/XFKVPW1sbZWVlACQkJAzoSlNUVITVakWv1zNlyhS3fVVVVdTX1wMwceJEt1ju6uri1KlTAMTExAxoIXrixAl6enrQaDRkZWU5a41DQkKoq6ujuroagMzMTCIiIpzHmc1mjh8/DkBERASZZ9pV9ykpKaGjowNwfGHh+m1MY2MjJpMJgNTUVGJiYpz77HY7R48eBSA0NJTs7Gy3cQ0GA62tjm9qp06dSkBAgHNfa2srBoMBcHwpEh8f73ZsYWEhNpuNwMBAcnJy3PaZTCbnv/VJkya51Vp3dnZy+vRpAOLi4khOTnY7tri4mN7eXrRaLdOnT3fbV1NTQ21tLQBZWVl+MUeUlZXR1tYGwPTp08/LHNHZ2UltbS1tbW2oVKpxNUeo/uu/mLhzJ8GffeZcbbKtWEHRvHlk/M//oLPZCD7zb2pqWBhTw8Lo7OqitqSEnT09PFNYyMTSUtZlZrI2NZWQwEB6i4tp/dnPCPzudx1zhMvq2HieI3Jzc932fdU5om+ezc7OJsxltVDmCIfB5oiZqZHMXBHJwzfk8OTmg7xb1EJ5Uxc/ereQJz85yepFmXxjYQa27ja/miPg/H6O6OzsdL5ftbW1yecILsw54nx/jujs7KS6upqOjg5UKtWYzRF97+XDNeKkavv27Vx11VXDeuyhQ4fIz88f6a8YstbYdd9wH+eJ1Wqlf/WjoijO7oFWq3XQYzx1F7Tb7c59drt9wP6hxm1ra3OeS/9zch3XZhv4jZbFYkFRFHR9ZS0ubDab81hvxvX0XF3H7f9cXV/Dwcbtew0H+xsNd9yx/Nu4jjtUvHh6Da1W66BLxUP9bYYzrsViwWazcfr0aeebVl5e3pDjuj7Xkf7Nh/saDna86zn1d67najabsdvtbm9ug43r7Ws42Gs03HH9JQ69nSP6Ysf1uY10XJ/NERoNPWvXEvy97zmTH7vFgrmggJYFC4jbtg36femmKAppzc3szsjgUGIiTxuNPHL8OBvLyzl8ySXYAgMJ2bEDTVgY7N7tVhponTkTJTBwXM4RIxm379hznS84Pjy5vsfLHDFw3P7xEhOq566ZkVyfoWWboZstRium5m5++8lJntlewtJp0SyKt5ERofOLOeJcz3Wkc4Tr+1VMTIx8juDCnCPO9+eI/u9V/Y3mHDESI06qcnJy2Lhx47Ae2/8b3HPpy1gHW2VqampCpVI5v3GIiYmhp6eHrq6uAZ1AmpqamDNnzjl/n1arHfAPUqVSOScV1295XI8ZbNIBUKvVzn2DBf9Q4/Y/B0/jDhYQOp0ORVEGHVej0TiP9WZc15+exu3/XF1fw8HG7XsNB5sMhzvuWP5tXMcdKl48vYauj3E11N9mOOP23Qiv/wQy1Liuz9XTuF/1NTzXc+3vXM81ICAAm802Kq+h3W4f8b8bf4zDrzJHuD5m3M4RZx7XN27rrbcSfeIEtLS4dQ7UdHSgBARgS07ma5GRXBoTw+96eynp7ESlVmPs6eE/Cwp4oLaWuyZOJNClNDBr82ZMP/7x2dfQZRXL3+eIkYzbd+xQ43oic8TAcT39Ww4LCuCmqQF8//YZ/Kuwhmd3lFBU1cbbBfW8DUyLC+Ce3nBuWxCJXnv23HwxR8jnCJxjXaifI0Yybt+xQ407Gp8j+j/G1WjOESPhl40qVq9ezTPPPOO274YbbqC0tNTZqOK1117j7rvvZs+ePSxYsMD5uJqaGpKSksZdo4qqqipncPcvQRBiKBI7wlsXdOx40Tnw6PHj/Hd5OR9bLMTodNyXlsa6zEyygoMd12stX+64Busib3BxQceNjyiKwu7SRl7ZY+TjolqsZ+5vFRMSwMp5adw5P5206PHfglxiR3jDV3Ezrrv/AaxcuZLt27dz+vRpZ612eXm5s6X6448/DjhWo1JSUlizZo1bAvb444/z6KOPSkt1IYQQDsPtHLh7NyQmcjIujmeMRl4ymbg1MZEX8vKwmM1oCgtRT5zoOFbufSVGSW1bD3/fV8Fr+4zUtvUCjnC7Oiee1YsyuWxSrLRkF2IMjDR30GwYLLMZBR9++CEFBQUcPXqU9957j/j4eFQqFceOHSMzM9O59DZjxgyefvpptm3bRmJiIoWFhTzwwAOoVCr+9re/OS/CCwoKQqVS8cQTT2A2m9FqtWzatIkf//jHrF27lvvuu8/t9yuKgtlsdtum1+tlYhJCiAud6zyfmws7dkBDAwQEuN9UuLUVcnKICQzkhvh4vp2VxeXR0YRotbxQUMDKmhrMQUFMCQ0lWKNxHKvXO8ayWmHePMfvkHtfia8gVK9l4YQY1i7KZFpyBC1dFsqbuihr6OQfhyr555EqVCrIjg8lQCtfDAsxWkaaO4zZSlVmZqaz80x/ZWVlbt1DDhw4wP/8z/+we/dutFotV199Nb/5zW8GdAsC+MMf/sBTTz2FwWAgMTGRtWvX8oMf/GBA3aSsVAkhhAC8Kg08/MUX/La7mzfMZlTAyuRk/nvCBGaEh59t6y73vhKjpKS+g5d3G3lrfwWdZsd1tGF6LbfNSWX1okyyYgd2QhZCfDV+X/7nK5JUCSGEGGA4pYGKArt2QUoK9UlJ/KWigj8bjfxq6lTuSE6msrOTqOPHCZ48WUoDxahq77Hw9gETf9ttpLSh07n9qpw4/uOyCSzKjpEKHCHOE0mqPPD3pKq4uNjZZrT/fQiEGIrEjvCWxE4/3d2OGwCbTG5dA+nogJISR+ngmc5etjNvnRqVihWffcbW9nbWZmXxn+npTHK53w7t7bByJaxb5/j/F0BpoMSN79ntCp+fbuCvuwxsO1HnXCydmhTOf1yaxdfzkv2yNFBiR3jDV3Ez0tzBr27+ezHr7e3FYrEM2rdfiKFI7AhvSez0ExTkWFXqXxq4cqXjf7/7rnMVS+OSGP1KrebZ6GheqKjgt6WlXB8Xx++nTycnNNSRnG3e7EimLpDSQIkb31OrVVwxOY4rJsdhaOjkxS/KeHO/iePVbXzvrQJ+9VExqxdlcveCdCKDA8494BiR2BHeGC9xI0mVn9Bqtee8j4wQg5HYEd6S2BlEUJBjVWndOvdVpe5u2L9/4CpWezvZQUH8Oj+fnwBvVlWxsbycyDPX9W6rr2e6wUB8e7sjIXO59xW7do3L0kCJG/+SGRvCT27O5bvXTua1feW89IWBuvZenthygj9tPc2KM9ddTYwPPfdgo0xiR3hjvMSNlP/5SfmfEEIIPzfCBhd2RSHz44+psVi4PTmZhzIzuSQq6uw1LxdgaaDwPbPVzgcFVWz8vJTimrOfey6bFMvqSzK5ako8GrXEmRDnItdUeSBJlRBCiPNmmPe+avriC14KCOCZ9nZOd3WRFx7O9ksucaxkSddAMYoURWFXSSMvfmHg0+JaZ7ilRQdx78JM7pibRkSwbuhBhLiISVLlgSRVQgghRoWnBhft7XDqFOTnY1er+aS+nn83NPDEtGkoisLjp06xvLmZKVOnStdAMaoqmrp4eY+RN76soLXbAkCQTsMts5K5fW4as9IipWugEP1IUuWBJFVCCCFGzQhLAyu7u5m1fTv1NhtXx8TwUGYmNyUkoO17T5LSQDEKus023jtcyUu7DG6lgRPiQlgxJ5VbZ6WSGBHowzMUwn9IUuWBvydVNTU12Gw2NBoNiYmJvj4dMY5I7AhvSeyMkmGWBvbu2sXbQUE81dXFruZm5kRE8OWllzpWDPy4NFDiZvxTFIV9ZU28sb+CD4/W0G1x3FBYrYJLJ8WxYk4q101LIFCnOa+/V2JHeMNXcSMt1cep2tpaZw9+mWjESEjsCG9J7IwS1xWltWsdXf4GKQ3U6/XcNXMmd2k0HG5txdjdjUqloqqnh/9bVMS63l4ub2tDFR5+7q6BY7iSJXEz/qlUKhZMiGHBhBj+92Yr/zpazaYDJvaVNfHZyXo+O1lPmF7LkhmJ3DIrhYVZMajPQ3MLiR3hjfESN5JUCSGEEKPF072vVq06WxoI5EdEkB8RAUBFdzeHGxu50mxm+uHDrM/I4J6UFMJ1OseKl8nkGG/NGnjxRb9byRLjS6heyx1z07hjbhrGxk7ePljJ2wdMVLZ08+Z+E2/uN5EYHsjN+cncnJ/C1KQwuf5KiEFI+Z+flP+1tbWhKAoqlYrw8HBfn44YRyR2hLckdnxgmKWByq5dbA0L4+neXt6rreXulBT+mp/v+Hv1PSgyEioqxrzJhcTNhc9uV9hnaOK9w5VsPlJNW4/VuS8nIYybZyWzYk4q8WEju/5KYkd4w1dxI9dUeeDvSZUQQoiLzDC6BqLRYOruxmy3MyEkhFdNJjaWl7M+KIhbsrIIiIwcOK40uRDnUa/Vxrbiet49VMnW4jrMNjsAOo2KpTOSuPeSTGanS/dAceGRpMoDSaqEEEL4nRF2Dfy0oYH/PXmSz5qaSNTreSA9nQfT00npf30V+GWTCzG+tXZb+Kiwmr9/WcGh8hbn9tyUcO69JJOb8pLPe3MLIXxFkioPJKkSQgjh14ZZGkhbG4UVFTxtt/OyycQfcnNZm5ZGm8VCmFaLym6Hw4dh0iS5/5UYNUdNrfxtt4H3CqowWx2rV5HBOlbOS+POeelkxob49gSF+IokqfLA35Oq3t5eZ72oXq/39emIcURiR3hLYsePeSoN7OiAtDRobgagzWpFr1aj12i499Ah9rW0sD4sjHt7e4n82tcGjnseSgMlboSrpk4zb+6v4OXdRipbup3b52dGs2JuKstmJBGid/RFk9gR3vBV3EhS5YG/J1UFBQXOdpF5eXm+Ph0xjkjsCG9J7Pg5T6WBfV3/+q1kfd7YyJ8MBt6priZApeLutDR+NGkSaee5NFDiRgzGZlfYWlzHK3uMfH6qHvuZUAsO0LBsRhK3z00joLUcq9UqsSNGxFdzjtynSgghhLgQBAU5VpTWrRu4ojTI/a8ui47mMp2OapuN5yMieN5k4oeTJgFQ2NbGpJAQ9OAoDWxvdyRk57r/lRDDpFGruHZaAtdOS6CmtYe3D5p4a38FhsYu3jpg4q0DJpJCtVyZoeea7EHKWoUY5zQbNmzY4OuTGAuKomA2m9226fV6v+lWYzab0ev1hISEEHHmXiVCDIfEjvCWxM440v+9SqeDJUvAaoXSUjCbHdtuuYWwzk6uiInhO1lZROp02BSFuTt38pvSUpobG5lkNhMxadLZMVUqx2pVQ4NjvHnzHNs9lAZK3IhzCQ3UMj8rmtWLMrl0UiwqwNDQSVO3jcJ6Cx+c6OCAsRmNWkVmTAhajX9UDQn/5Ks5Z6S5g5T/+Un5nxBCCOG1czS5ON7ezp+NRl4yGulQFG5MSODl/HzHDYVdxwDpGihGRWevlQ8La9h0oII9pU3O7WF6LTfmOe57Ja3ZhT+Ra6o8kKRKCCHERWGI+191nDjBa7GxbG1u5vVZs1CpVLxiMrE0Pp5ojUa6BooxUd7YxdsHTWw6YHJrbpGTEMb9l2Vxc34yeq20Zhe+JUmVB5JUCSGEuGgM8/5XFd3dZG/dikal4q7wcNYrCnMuu2zgeHJDYTEK7HaFPWWNbDpg4sOjNXRbbADEhuq595IM7l6QTkyodAkUviFJlQeSVAkhhLgonaM0sK63lxcqKvjzyZOU2+3cEBfHhwsWDBwDpDRQjJrWbgtvfFnOi18YqG7tAUCvVXPr7FTuvzSTifHS3EKMLUmqPPD3pOrUqVNYrVa0Wi2TznRrEmI4JHaEtyR2LkJDlAbaTp5kc3IydVYr/5GeToPZzBMlJTyYns6EwEBnaWCHWo0CqIBQRZHSQDFsw5lzLDY7/zpazQs7yzhianVuv2JyHN9YmMFVU+LRqGWV9GLiq/cqaak+TnV1dTl78AsxEhI7wlsSOxehoCBHAtS/NHDVKjSbN3MTOFe1jra18Vx5OU+UlLAkNJT1KhU3hIVha29HsdtRqdUQHu5I0F566WxpoBAeDGfO0WnU3Jyfwk15yXxpaOb5z0v55HgtO07Ws+NkPSmRQdy1IJ075qYRFyalgReD8fJeNSbLNO3t7Tz88MNcd911xMXFoVKpGKyTu81m47e//S033HADqampBAcHM3XqVB555BFaWloGPF6lUg363+OPPz4Gz0oIIYQYh/ruf/Xee/Dhh46f69Y5Svs6OpwPuyo2lsrFi3l+5kxquru5sb2dB48cGTheaKgjQetzcRTAiFGmUqmYnxXNc/fOZft/X8k3L59AZLCOypZunthygkWPf8p/vX6IvaWNXCRFV8LPjUn5n8FgID8/n7y8PCZPnszzzz/PY489NiCx6ujoIDk5mTvvvJNrr72W2NhYDh48yM9+9jOSkpLYv38/QS7lBSqVihUrVvC9733PbZz09HSSk5Pdtvl7+Z8QQgjhU0OUBionT/JlVhYBWi35ERF8UFvLpupq1mdkMD8yElVvL9xyC3z8sVxvJUZNj8XG5iPVvLLXyKHys1+2T04I5Z6FGSyflUJYoH+vZojxwy+vqer7FSqVioaGBuLi4gZNqmw2Gy0tLcTExLht37RpE7fffjsvv/wy99xzz9mTV6l46KGH+NOf/nTOc5CkSgghhDiHYXYN3FRVxcPFxZR1dTE7PJz1ajV3Tp9OcGTk0K3YpWugOE8KK1t5da+Rdw9VObsGBgdouGVWCvcsyGBacriPz1CMd355TdVwb+Sm0WgGJFQA8+fPB6CiouK8npcQQgghXPSVBq5b554AKYpb18AVycksT0piS10dTxcV8UBXF+bWVtZFRWFTFDQqleOxJhM89xzodNI1UJxXuSkR/PLWmXx/6VTeOWDilb3lnK7r4LW95by2t5w5GVF8Y2EGS2Ykyj2vxJgYF8s0W7duBWD69OkD9r322msEBQWh1+uZM2cOL7744lifnhBCCHHhcf1CdO1ax6pTe7vzmikNsDQ4mH9GR1Ny+eV8IzUVgG8VFnLdnj28W1ODVa+HJ56AN94Am82RXNlsjgTtgQccK2NCfAXhgTrWfC2LT757Oa8/sJBlM5PQqlUcMDbzf944zCW/3MovPzyOsbHT16cqLnB+3/2vsrKSRx55hLlz53LjjTe67bvrrrtYtmwZaWlp1NXV8cILL3DfffdRWlrKT3/603OOXVRUREZGBuHhZ5eIe3t7KS4uBiAqKor09HS3Y06dOkVXVxcAeXl5bvsaGhqorKwEHNd1RUVFOffZbDYKCwsBx9LhhAkT3I4tLi6m+8yby4wZM9Bqz/5pWlpaMBqNACQnJxMXF+d27JEjR1AUhaCgICZPnuy2r6KigqamJgBycnIIDAx07uvo6KCkpASA+Ph4kpKS3I49duyYs9vKtGnT3PZVV1dTV1cHQHZ2NqGhoc59PT09nDhxAoDo6GjS0tLcjj158iTd3d2oVCpmzpzptq++vp6qqioAMjIyiIyMdO6zWq0UFRUBEB4eTlZWltuxpaWlzmXa3NxcNJqz30w1NzdTXl4OQEpKCrGxsW7HFhQUABAcHDygXWd5eTnNzc0ATJkyBb3+bLehtrY2ysrKAEhISCAxMdHt2KKiIqxWK3q9nilTprjtq6qqor6+HoCJEycSEhLi3NfV1cWpU6cAiImJIfXMh5U+J06coKenB41GQ2JiIna7HbVaTWxsLHV1dVRXVwOQmZlJRESE8ziz2czx48cBiIiIIDMz023ckpISOs5cqD5jxgy3Je7GxkZMJhMAqampbqvKdrudo0ePAhAaGkp2drbbuAaDgdZWR2vcqVOnEhAQ4NzX2tqKwWAAICkpifj4eLdjCwsLsdlsBAYGkpOT47bPZDLR2NgIwKRJkwgODnbu6+zs5PTp0wDExcUNuM6yuLiY3t5etFrtgC9sampqqK2tBSArK8sv5oiysjLa2toAxxdM52OOaGhooLGxka6uLtRqtcwRF+gckZub67bPqzniTNfA+ieeQLd1K2qzGX1EBPo77oB//IOswEDMZjOtbW3MDwriYEsLy/fvJ02n40GNhgenTUN35rXXajSE9K1inekaaDAYaG1pAZVK5gg/miPg/H6OaGhocL5fWSyW8zpHqFQqLsmOYWK4nRUT4N8lnfzb0ENtu5lnd5Ty7I5SLp0Yw6WJMC8lkOjICJkjzuccccZofI5oaGigoaGB7u5u1Gr1mM0Rff9Oh2vESdX27du56qqrhvXYQ4cOkZ+fP9Jf4dTU1MTSpUtRFIU33nhjQA3jq6++6vb/b7vtNr7+9a/z+OOP8+1vf3vApNGf1Wod0DFGURQsFotz/2DH9O3vz263O/fZ7fYB+4cat7Oz03ku/c/JdVybzTbouIqiDNpq0mazOY/1ZlxPz9V13P7P1fU1HGzcvtdwsLLQ4Y47ln8b13GHihdPr6HVah20/naov81wxrVYLNhsNiorK51vWrGxsUOO6/pcR/o3H+5rONjxrufU37meq9lsxm63u725DTaut6/hYK/RcMf1lzj0do7oi52+42SOuDDniJGM23fsoOMGBdF4xx10LF0KioJWp3O8x2/ZAjYbCqDY7SyPjeWu9HQKu7p4Zv9+ftHTw+0WC/F2O7VmM8l9JX+hoY5rtRSF2HfeIaqzE3tAAOrbbnOsYp15nMwR7uc0nHH99XOE6/tVTEzMqM0RYVo7y3OC+M710yios/LqXiM7Ttaz83QjO09DdKCaJVO6eSgqkeTIoAHjDkbmCPdjzzXuYLz9HNH/vaq/0ZwjRmLESVVOTg4bN24c1mP7fzszEs3NzVx77bVUVlaydevWAd/IeHLPPffwz3/+k/3797NkyZIhH6vVagf8g1SpVM5JxfVbHtdjPPXJV6vVzn2DBf9Q4/Y/B0/jDhYQOp0ORVEGHVej0TiP9WZc15+exu3/XF1fw8HG7XsNB5sMhzvuWP5tXMcdKl48vYauj3E11N9mOOPabDY0Gs2ACWSocV2fq6dxv+preK7n2t+5nmtAQAA2m21UXkO73T7ifzf+GIdfZY5wfYzMERfmHDGScfuOHWrcMwee3Xj99fDmm6j0ese9q3DcGHhORATPBwXxZFYWISEhtLS1ccORI4RqNHxrwgTuTkwktLAQ2ttRazTYAgJQKwrqTZtg3z5ngwuZI9zPaTjjyucIx7EBWg3XTovh2mkJVDR18eoeA6/vNdLUY+fVw028XrCVJTOSePDyCcxMjZQ5Yhjj9h071Lij8Tmi/2NcjeYcMRJj0v3P1VDd//o0NzezePFiysrK+PTTT5k1a9awx//73//OnXfeyUcffcT111/v3O7v3f+am5udS+Kuy/1CnIvEjvCWxI7wxoC48dSKvaMDSkogNxe0WhRF4ZOGBp42GPigtpZQtZrVAQH84sorCe3/QbS9HVaudL+hsHQOHPf8Yc4xW+18fKyGV/YY2VPa5Ny+cEI0D16ezZU5cSP+MC1Gl6/ixi9bqrs6V1LVl1CVlpbyySefMHfu3BGNv2zZMj755BOqqqrc6l39PakSQgghxi1Prdh7e+Hdd51dA/uUd3fz3K5dbAM+v/pq1CoVOxobWRQVhU6tdiRQGg38/e/w4ovSOVCMimNVbWz8vJQPCqqw2h0fhycnhPLAZRO4OT+FAK18RryY+W1S9eGHH9LZ2Ul7ezv33Xcft99+O3fccQcAS5cuJTg4mO7ubq644gr279/Pk08+6Wyl3icuLs554doTTzzBsWPHuOaaa0hNTXU2qvj444/ZsGEDjz32mNuxklQJIYQQY8B1RWmIGwpz6hTk54NGg7Gri8ytW0nW63kwI4P/SE8nGSAhASoqHEnZUPe/EuIrqGrp5i87y3h9XzmdZkdJfUK4nnsWZLBqfjpxYfpzjCAuRH6bVGVmZjo7z/RXVlZGZmYmBoNhQCcWV6tXr+all14C4IMPPuDXv/41J06coLm5maCgIPLz81m/fj2rVq0acKwkVUIIIYQPDPOGwgVtbTxtMPBKZSVmu51vREbylxkzIHyQm7j2Lw+U0kBxHrR2W3htbzkvflFGXXsvADqNiqUzkrj3kgxmp0dJaeBFxG+TKl/z96TKtdnAYBfZCeGJxI7wlsSO8MZXihvX5Ofpp91uKNyn1WLhbyUltLe38+jcubRZrbxSWck9KSmE911o3vfRZelSKQ0cR8bLnGO22tl8tIq/7TZyqLzFuX1aUjirF2VwU14KQQH+e/4XGl/FjSRVHvh7UlVQUOBsM9r/vhVCDEViR3hLYkd447zFzVANLlJTobYWAgP5V20tN+3fT5BazTdSU1mXkcGMkBA4fBgmTZLSwHFkPM45R02t/G23gfcLqui1OtqARwTpWD4rhRVzUslNiRh6APGV+SpuRpo7+EdGIYQQQoiLy5kbCrNypaMphcXi+LlypWN7cDAoCksTEjBefTX/d8IE/lFTw8zPPuN7+/aB2ewoDexb+VKpHAlW302F+1wc3x2LUTIjNYInbs9jz/ev4dGlU0iPDqa128JLuwzc+MedLPn95/xlZxmNHb2+PlXhY7JS5ScrVaWlpVitVrRa7bDvySUESOwI70nsCG+MWtz0vy5qkPJAi93OP2pqSDx9msvT0tgeFsanjY08mJ5Oat/KlJQG+q0LYc6x2xU+O1XPpgMmPj5Wi/nM6pVOo+LqKfHcPieNK3Pi0Gr84/PlhcBXcSPlfx74e1IlhBBCCBfD6By40WTie8eP02WzcVNCAuszMrgmKgpVQYGUBopR19Jl5oOCKt46YOKIqdW5PTZUz/JZyayYk0ZOYtgQIwh/JkmVB5JUCSGEEOPMMDoHtlutvGIy8bTRSGF7O88kJfGfZjNccsnA8aRroBglxTVtbNpv4h+HKmnsNDu3z0iJYMWcVG7KS9X4H0QAACAASURBVCYqJMCHZyhGSpIqDySpEkIIIcaxc3QOVBSFnU1NTC8uJjo5mR/29lLb28tDmZnkR0ScHQOkNFCMGovNzvYT9Ww6UMGnx+ucNxUO0Ki5Zmo8t81O5YqcOHRSHuj3JKnyQJIqIYQQ4gIxjNLA3xuNPFFaSmVPD5dERfFQRgYr4uPRHz0qpYFiTDR29PJ+QRWbDpgoqmpzbo8OCeDGmUksn5VCflqk3PvKT0lS5YG/J1VlZWXOi/CGugGyEP1J7AhvSewIb/hN3AyjNNBqt/NBbS1PG438u6GBw9nZ5LW00Dt/Pvr+97uR0sBR5zex4wPHqtrYdMDE+wVVNLh0CsyKDeGW/BSWz0ohPSbYh2fov3wVNyPNHbRjcVLi3Nra2pw9+IUYCYkd4S2JHeENv4mboCBHArRunXsCpCjO0kCtWs3ypCSWJyVh6Oois6AAJSGBeTt3khEUxEOZmVwXF4dapXKseG3e7DheSgNHhd/Ejg9MSw7nx8nTeHTpFHaebuDdQ5VsKaqlrKGT3/37JL/790nmZ0Zz76IMrp+eKOWBLsZL3EhSJYQQQojxzXVFae1a2LVrQGlgptUKAQHY0tL4tlbLUwYDS/btIzs4mHUZGaxPSyPo6FHHilVYGOh0YLM5ErRdu6Q0UJwXWo2aK3PiuTInno5eKx8X1fCPQ5V8cbqBfYYm9hmaSAwP5O4F6dy5IJ3YUL2vT1kMk5T/+Un5n9VqRVEUVCoVWq3kumL4JHaEtyR2hDfGRdwMozRQURT2tLTwlMHA7uZmTmRmoq2t5fTMmUwMCXEfT0oDz4txETs+UtPaw2v7ynltr5GGDkf3wACNmhvzklizKJOZqZE+PkPf8VXcyDVVHvh7UiWEEEKIUXCOroHguKmwbu9eyqOjyTp1ijkREazPzGRlcjJBGo10DRRjptdq419Hq3lpl5GCihbn9ry0SFbMTuHGmdKafaxIUuWBJFVCCCHERe4cXQNteXl82NjIUwYDH9XXE63TsT4zk59OnAiHDw+va6CsYonz5FB5M3/dZWDz0WosNsfHdZ1GxZU58dw6K4Wrp8aj12rOMYrwliRVHkhSJYQQQojhlAYCnO7s5M9GIxa7nd+HhNBVXc3W7GyWxMejcU2a2tth+XLHNViyiiVGQX17L+8druSdg5Ucqz7bmj08UMuymcncNjuFORlR0pr9PJOkygN/T6paWlqw2+2o1WoiIy/eulkxchI7wlsSO8IbF1TcDKM0EIDdu3knOJjbKirICAriPzMyuD8tjTi9HqxWOHoUsrPl3lfncEHFjo+cqGnnH4cqee9wJdWtPc7tE+NDuXN+OrfNTiEy+MIqD/RV3Iw0d9Bs2LBhwxicl88pioLZbHbbptfr/SarP3HiBI2NjbS3t5OYmOjr0xHjiMSO8JbEjvDGBRU3rp8BcnNhxw5oaICAAPfSwNZWps6cybLERBrMZv5kMPDbsjI0wGWdndDY6CgN7BtPpXKsVjU0OJKuefPO/p6LuDzwgoodH4kN1XPppFjWfi2LhVnRqFQqDI2d1Lb18tnJev7yhYHS+k5iQgNIjgj0m8+5X4Wv4makuYN/LNMIIYQQQvhSUJBjVWnlStBowGJx/Fy1CmbPBrWaeZGRvJifT+Xixfw8J4eZ4eFQV8d+lYqNRiOdVqv7mKGhjjLD7m7HStjNN8OSJY6fTz/t2C6EFzRqFYsmxvKb2/PY++g1/OyWXKYlhWO22vnHoUpu//NurvvdZ/xlZxntPRZfn+5FQcr//KT8r76+HpvNhkajIS4uztenI8YRiR3hLYkd4Y2LJm6GUxqoKLBrF78OCOCR2lrCtVrWpKWxPiODyaGhjsf09EBCAlRUXPTlgRdN7PiIoigcMbXy2t5y3i+oottiAyBMr+Wuhenc97UsEsIDfXyWI+eruJFrqjzw96RKCCGEEH7KU9fAjg4oKYHcXMrMZp4zGnm+ooIGs5mX8vJYnZoK5eUQFQXh4QPH7X//KyHOk/YeC+8eruKvuwycrusAHJ0Db8lP4ZuXT2BSwiDXDgo3klR5IEmVEEIIIbzmqWtgby+8+65zFavHZmNTdTXXxMaSZLHw+5MnaQ8L4z/S00kM7LdKoCiOEsP33jv7/y+Aa2CE/7DbFbadqOPZHaXsMzQ5t18zJZ5vXj6B+WeuyxIDSVLlgSRVQgghhDgvXJOfoVaxUlN5ZOdO/lBRgVVRuC0pifUZGVwa7fJBtqcHbrkFPv5Y2rGLUXWwvJnndpSy5ViN837WUxLDuHN+OrfkpxARrPPtCfoZSao8kKRKCCGEEKPC0yrWmjWwahXNPT381WTiaaORU52d7L/0UuZERqJYLKgKC6UduxhTpfUdPL+zjLcPmOi12gHQa9Usm5HEqvnpzMuUe16BJFUe+XtSdeTIESwWCzqdjpkzZ/r6dMQ4IrEjvCWxI7whcXMO/Uv4XJpc2BWFXc3NfC3K8aH1mk8/ZVpAAOvy85nWvwlG/+utLoDSQIkd/9LaZeEfh0z8/csKimvOfkbOjgs5c8+rVKJCfH/PK1/FzUhzB+1YnJQ4N0VRnP8JMRISO8JbEjvCGxI359A/8Vm7FnbtApMJdWgol0ZHg6JgaW1lkVbLxu5u/rRjB1fGxLA+I4PliYlo1WpHKeHmzY5kasuWC6I0UGLHv0QE61jztSxWL8rkcEULf99XwfsFVZTUd/Kzzcd5YssJls9KYfWiTKYmDdJoZYyMl7gZk2Wa9vZ2Hn74Ya677jri4uJQqVR4uufwmjVrUKlUA/6bMmXKgMdaLBZ+8pOfkJmZiV6vZ8qUKfzxj38c5WczOoKCgggODiZoHE6SwrckdoS3JHaENyRuRsjD/a90q1bx0wULKF+8mNdnzcKqKKwvLMR65oNjW28vHDwIb7wBNhvodI6fb77puIZrHN7jSmLHP6lUKmalR/GrFTPZ94Nr+Plyxz2veq12/v5lBUt+/zmrntvNR4XVWG32MT+/8RI3Y1L+ZzAYyM/PJy8vj8mTJ/P888/z2GOPDZpYrVmzhjfffJOtW7e6bQ8KCiIvL89t2wMPPMDLL7/MT3/6U+bNm8eWLVv41a9+xc9+9jMe/f/t3Xd4VGX68PHvmT6phBQgJCRISWgSBdfYEEUFWVBEXVF3RVT0h21511UsKFhQd1d3RdeGuugKWEBERUEXERtgoyihEwIJLRXSZjKZmfP+MZnDzGTSJiEZ4P5cFxdwypNzztx5Zu45z7mfBx/02zbch/8JIYQQ4iTgO4zv8ss9iVLd/4sdDhJMJg7V1HDKihWMNhq5/fTTGR4f7/+Mywk4NFCEF1VV+XlPGW9+n8fynIO43J50oXsnK386K41rhqaGxdDAYyksn6ny/ghFUSguLiYxMbHRpGrRokVUVlY22mZOTg6DBg1i1qxZPPDAA9ryW2+9lXnz5lFQUEDnzp215ZJUCSGEECKsNDCpcKXTyZvffMNLLhdbamroFxXF3T178n9paZ4NvB/dRo8+YYYGivC1/7CN+T/sYcEPeymrrgXAVFfY4rozezA07cQsbNHS3KFdMgrvEL62tGTJElRVZdKkSX7LJ02ahM1mY/ny5W3684QQQggh2tSkSZ4qfxUVRxMlVSWqupo7Y2PJueACVmZn0z8qiq9LSgBwuN38duTICTc0UISv5E5W7h2ZyZoHRvD3q06lf7cYHE43H67fx9WvrOGSf33D3O93c6Qu4TpZheVtGpvNRteuXdHr9aSkpHDnnXdSWlrqt82mTZtITEyka9eufsu9VUE2bdrUbscrhBBCCNFiDTxvxYQJcPrpKHo9FyQksGjoUOafdhoAHx08yKnffcewoiLerajA4U3GFMVzx6ugwFPe3SvMH+4Xxw+LUc8fhqby6d3nsuSOc/jD0BQsRh07Cit59JPNnPnUCv66cCPr95Z19KF2iLCr/jd48GAGDx7MwIEDAfj666/517/+xZdffslPP/1EVFQUACUlJX7D+7wiIyMxmUyU1H2j05icnBzS0tKIiTla0aSmpoatW7cCEBcXR48ePfz22bFjB9XV1dqx+iouLmbfvn0A9OjRg7i4OG2dy+XSEr3o6GhOOeUUv303bdqEw+EAPImhwXD0pTl8+DB79uwBIDk5mcTERL99f/31V1RVxWq10rdvX791+fn5WkKakZGBxWc298rKSnbt2gVAUlIS3bp189t38+bNWgnL/v37+607cOAAhYWFAPTq1Ut7XQDsdjvbtm0DoHPnzqSmpvrtu337dmw2G4qi1CuNWVRUxP79+wFIS0ujU6dO2jqn00lOTg4AMTEx9OzZ02/f3Nxc7TbtwIED0ev12rqysjL27t0LQPfu3UlISPDbd+PGjQBERETQp08fv3V79+6lrMzTQWRmZmI2m7V15eXl7N69G4AuXbrUS/JzcnJwOp1aIRVf+/fvp6ioCIDevXsTGRmprauurmbHjh0AxMfHk5KS4rfvtm3bsNvt6PV6YmNjcblc6PV6UlNTKSws5MCBAwCkp6cTGxur7edwONiyZQsAsbGxpKen+7W7a9cubejtoEGD/G5xl5SUUFBQAEBKSgrx8fHaOrfbzW+//QZAVFQUvXr18ms3Ly+PI0eOANCvXz9MpqPjsI8cOUJeXh4A3bp1IykpyW/fTZs24XK5sFgsZGRk+K0rKCjQftf79OlDRESEtq6qqoqdO3cCkJiYSHJyst++W7dupaamBoPBwIABA/zWHTx4kEOHDgHQs2fPsOgjdu/eTXl5OQADBgxokz4iPz+f8vJyampq0Ov10kecoH2E9/3Uq7V9hPd3OSEhwS/+pY/waHEfYbV6no2aMoXioiL21cV376oqIpcu1YYGKsCR8nIuiIjgvYgIXgauXb+epJwcHsvI4E+JidQ6naCqRC9dis6naqBDUSg87TRKL7+cbqec0mGfI/Lz87X3K4PBIH0Ex28foQC3D41l+pj+LFm/jwU/7GXrwQoW/VLAol8K6N3ZyG0XZjJ2cHcsRs91DLWPyM/P58iRIzgcDvR6fbv1Ed7f0+ZqcVK1atUqLrjggmZtu379erKyslrU/v/7f//P7/8XX3wxp512GldddRWvvfaa3/rGhhQ2Z7ih0+msV55RVVVqa2u19cH28a4P5Ha7tXVud/3qKI21W1NTox1L4DH5tutyuYK2q6oqRmP9mbBdLpe2byjtNnSuvu0GnqvvNQzWrvcaBnuNmttue742vu02Fi8NXUOn0xl0/G1jr01z2q2trcXlclFaWqq9aaWmpjbaru+5tvQ1b+41DLa/7zEFaupcHQ4Hbrfb780tWLuhXsNg16i57YZLHIbaR3hjx9uG9BEnZh/Rkna9+zbWrvf6lJaW+iUM0kfUb7fFceizr33CBCI3bPDceapLOFSXC1N1NVdERvKHoUPZXF3NS3l5ROr1uFWVbZWV7LPZuGz7ds8EwtHRnqGBDgcxn3+OZf16nC+9BAFJVXt9jvB9v4qPj5c+guO/j4ixGLnhrHT+lJ3Gur1lvPTFb3yzu5KdpbXcu+g3nlq2jWvOSOX6M3tgDrGPCHyvCnQs+4iWaHFSlZGRwWuvvdasbQO/nQnVFVdcQWRkJGvXrtWWxcfHs2HDhnrbVlVV4XA4gt7FCmQwGOr9QiqKonUqvt8E++4TrNMB0Ol02rpgwd9Yu4HH0FC7wQLCaDSiqmrQdvV6vbZvKO36/t1Qu4Hn6nsNg7XrvYbBOsPmttuer41vu43FS0PX0HcbX429Ns1p1/ttX2AH0li7vufaULutvYZNnWugps7VZDLhcrmOyTV0u90t/r0JxzhsTR/hu430ESdmH9GSdr37NtZuQ6SPqN9uq+IwMtIzNPDNN2H5clSbDcVopPzSS9GvWYNRp6N/dDT/HjQI8Hyr/n5REc/m59NHp+P2+HgmWizEmUwoioIaFYW5qAjzwoVw332eH1hXNVA+R/i3G4z0Ef77BrarKApD0jrz4IUpTCw+wv9yq1iR5+DAETsvr9rFq1/vYlivOC5I0XNqV3OL+4jAbVpyrq3pI1qiXar/+Wqq+l8wbreb6OhoLrvsMt555x0AnnzySR566CEOHDjgd6t07dq1nHXWWcyfP5/rrrvOr41wrv5nt9tRVRVFUfxurQvRFIkdESqJHREKiZsO4ls2vYGqgaqq8t233/IS8EFFBQZF4b9ZWVzlHdrYwVUDJXZOLk6Xmy+3FvLfNXl8v/PoYzndO1m5emgKVw1JISUuouEG6nRU3IRl9b/WWrRoEdXV1WRnZ2vLLr/8chRF4a233vLb9s0338RqtTJq1Kj2PsxWsVgsWK1W6WREi0nsiFBJ7IhQSNx0EN9vzRuoGqhUVHBeZCTvnHMOe0eM4ME+fRhS90zRvIIC3s7Px/7LLx1WNVBi5+Ri0OsYOaAr82/JZsVfhjHxrDSiLQb2Hbbx3IodnPf3r/jTGz/w8cb92GvrD9vzOl7iRj+zubeLWmnZsmVs3LiR3377jY8++oikpCQURWHz5s2kp6djNBrZs2cPv//976murqa0tJRdu3bxxhtvcP/995ORkcHLL7+sPZiWlJREQUEBs2fPxmKxUFtby2uvvcbs2bOZOXMml1xyid/PV1VVKwThZTabT8i6+kIIIYQ4gRmNcOml4HRCbi44HJ5l48Z5nqVSFKKMRobFxxNXN7TpX7m5zNixg1erqig1GOgdGUkno9GTrJnNUFzsae+MMzw/QyYUFm2oc6SZCzKTuOmcnvTpEkWFvZa9pTb2llazbNNB/rsmjz5J0ZySGNVkW+2lpblDuw3/S09P16pTBdq9ezfp6emUlZVx8803s379eg4dOoTL5SItLY0rrriCBx980K/6CHgeZJs1axZz587l4MGDpKenc+edd3LXXXfV+xnhPvxPCCGEECIkzRgaCLDtu+94Radjbnk55U4n64cNY7C3cqFMKCzaWX5pNQt/KWDRz/nsP2Jn1V+Hk54Q2fSO7aSluUO7P1PVUcI9qaqsrMTtdqPT6fzKigrRFIkdESqJHREKiZswZ7N5hvJ5qwYqiidhqqiAHTsgK4sqVeWjQ4e4NjkZRVGYuGEDgyIjmXT4MPEZGZ6EzLtfZaVnqOFrr7U6sZLYEcG43Cq/FhzmtB5xQdd3VNxIUtWAcE+qNm7cqJUZDZzbRojGSOyIUEnsiFBI3BwHbDataqB2x2nUKPj0U896n+FLtW43N23cyPv796NTVSakpHB7ejpn+MzvREWFZ4LiKVM8/w9xaGC4xY7dbtfmeRLhq6KiQitUER3kDmxrJCYmNvisVktzh7Cb/FcIIYQQQrSCz4TCfgmQqtYbGmjU6Xj7tNP4Z3U1/zEaebmkhMUHD3Lg4ouJ0OtxqSr6qChPQuYzofDxPjTQbrdTWFhI9+7dg5bhFuGjurpaS6p8J+dtLZfLxb59+0hKSmqTIhiSVIWJpKSkBucLEKIxEjsiVBI7IhQSN8eZwKqBq1cHHRqYaLEwLSuLv+p0bK2sJEKvp8zhYNA33zChWzf+r7KS3hUVRycU9lYNXL262UMDwyl2ioqKJKE6TjQ1v2uo9Ho93bt3Z//+/aSmpra6PRn+FybD/4QQQgghjrkWDA0sdjj4286d/GfPHkpdLkYmJnJnejpjunQ52l7g0EA4LioH5ufnt8kHaXH8aygW5JmqBkhSJYQQQgjho5lVA22rV/OexcJLVVUkms18+rvf4VJVSh0OEk0m0Ovh3Xdh7tzjZnigJFXCS5KqFpKkSgghhBCiAc2oGoheT6XTSZTBwMcHD3L1unX8oVs3bu/Wjey+fVEKCpquHBgmd7EkqRJeklS1kCRVQgghhBCNaMHQwFKHg7n5+by8Zw+7qqvJiozk4cxMxnfr5t9mRQVccYXnOawwuoslSZXwaqukSjKKMLF582Y2btzI5s2bO/pQxHFGYkeESmJHhELi5gTmrRr40UewbJnn7ylTPBMCV1b6bdrZZOKeXr3YPnQoy9LTSY2MZL/dDsBem42t3u2tVvjHP+C996g4fJgjNhsVhw97hhpOnuxJ5ESbqaio4L777uOSSy4hMTERRVGYOXNm0G2HDx+OoigoioJOpyM6OprevXtz9dVXs2jRItxud7N+5o033qi1E/hn6dKlAOzcuRNFUZg3b5623+uvv46iKBQUFGjL5s2bx/PPP+/Xvs1mo7q6GluYx4pU/wsTtbW11NbWdvRhiOOQxI4IlcSOCIXEzUmiOVUDKyvRpaYyymRilE9J6ud37+bZ3FxGJCRwu9XKZZWVGGJicJeXo7rduHU6zzDBggLPnbFWzn8ljiopKWHOnDkMHjyYcePG8frrrze6/SmnnML8+fMBqKqqYvfu3SxZsoSrr76a8847j08++YTY2Ngmf67VamXlypX1lmdmZgKQmprKmjVr6N27d6PtzJs3j507d3L33Xdry1RV5XgYWCdJVZgwGo1+fwvRXBI7IlQSOyIUEjcnIavV81xU4NDAa66BG2+ECRM8JdbrEqInMjLIionhpT17uDI/n+46Ha8XFnKO1Ypbp0PnTZxOwPmvOlpaWhplZWUoikJxcXGTSZXVaiU7O9tv2S233MLcuXO56aabuPXWW3nvvfea/Lk6na5eO77MZnOj6xuj1MWL0oqE22azYT3G8STD/8JE//79GTx4MP379+/oQxHHGYkdESqJHREKiZuTVENDA61WTxLkMzzQotfzx5QUVp99NuuioxkdG0ua1Up0dDSr7XbWOxyeOw9uN6xbB++950nKfOe/kqGBIfEOu2utSZMmMXr0aBYuXMiePXta3V6w4X+Bzj33XD7//HN27dqlnYfBYMBqtRIREYFOp+Oxxx4jIyMDs9lMUlISN998M8XFxX7tpKSkMG7cOBYuXEhWVhYWi4VZs2a1+hyaIneqhBBCCCFE8wV+aG9keOBpsbHMGTgQ6iZwfTEvj08LCxkYHc3tUVH8saaG6JgY/7Y7eGhgtcPZLj+nMRGmjv+Iftlll/HZZ5/x7bffkpaW1uT2Tqf/dVMUpUWTK8+ZM4ebb76ZgoICFi5cqLUB4HK5GDNmDGvXrmXatGlkZ2eTl5fHI488wk8//cSPP/6IxWcI6o8//simTZuYPn066enpREVFNfs4QtXxr5gQQgghhDh+NTY8sKYGlizR5r/65Iwz+LK4mJf27OHOAweYptOxurycgb6JFXTo0MD+j3x+zNpurrynf9/Rh6AlUvv3729y26qqqnpDgs855xy+++67Zv+8/v37ExsbS1FRUb2hgu+88w4rVqzgo48+4rLLLtOWDxo0iOzsbN5++20mT56sLS8uLmbLli306tWr2T+/tSSpEkIIIYQQreMdHjhliv9dJZsNfv5Zu4ulKAoXJSRwkdlMvtvN/E6d6FeXcD24dSunxcQwrmtXjKoKGzZ4SrJHR/sPDVy92n/uK3FMtKQ4hNVq5ZtvvvFbFh1kIulQLV26lPj4eEaPHu13R2zIkCEkJCSwatUqv6QqKyurXRMqkKQqbBw4cACXy4Ver6db4BwPQjRCYkeESmJHhELiRjTJd5iez10s+0cfodrtKBYLlgkTSP30U+6v297hdrO6tJSndu6km9nMrTExTK6tpXsHDA3c/NjINmvreOZ9lio5ObnJbXU6HUOHDj0mx+FwODh48CAlJSUNFsgJfK6qI/omSarCRGFhIbW1tRiNRnmTEi0isSNCJbEjQiFxI1qs7i7WtrPPptbhwGgyMXjwYE8y9P77EB2NSadj1dln81t5OS/v2cOze/bwL52Ogy4X1sDnco7x0MBweJ4pHHz88ccoisKwYcM69DicTidxcXEkJSXxqXci6gAxAcNH26JYR0tJ1AghhBBCiPbRxPxXg6KjeSktjaftdn5OS8Oq11PpdHLR2rVc3707N6SkEKvTydDAY2zu3LksW7aM6667jh49erTbzzWbzUEn+b300ktZsmQJiqIwZMiQdjuelpCkKkz06tULt9uNTidV7kXLSOyIUEnsiFBI3IhQ1YudhgpcTJhAzKefcmHdfodra+lhtfKXzZt5YOtWro+J4Xa3m8FhVjUwXCxbtoyqqioqKioA2Lx5M4sWLQJg9OjRREREaNvabDbWrl2r/Ts3N5clS5awdOlSzj//fF555ZV2PfZBgwbx8ccfM2fOHLKystDr9WRlZTFx4kQWLVrEyJEjmTp1KkOHDsVgMLBv3z5WrlzJVVddxdixY9v1WANJUhUm2qPUozgxSeyIUEnsiFBI3IhQBY2dhgpc+AwNTLFaeX/IEPbb7by2dy9zduxgm9XKKjzFFGpVFZM3UZMJhZkyZYrf3FILFy7USpTv3r2b9PR0bV1ubi5nnXUWAJGRkXTp0oXTTz+dhQsXMn78+Hb/8uQvf/kLW7ZsYdq0aRw+fBi9Xo/T6USv1/Ppp5/y3HPPMW/ePGbNmoXBYCAlJYXhw4eHxbx5itqS0h7HMbfbrWXsXtHR0fJNmxBCCCFEuLHZPBMAB859VVFB7fbtFPbrR/fISL4sLua6deu4pUcPbktLo4fJ5Bka2KeP586Vz5xZpKRoQwPz8/NJTU3t6LMUYaChWGhp7iAZhRBCCCGECC/eoYHXXAN6PdTWev6eMAHjkCF0rxvC1tNq5ZrkZP6dl0fPL79k3Hff8W1VFcTEHL3rFTg00OvkuK8g2oncqQqTO1V2ux1VVVEUxW9GaCGaIrEjQiWxI0IhcSNC1arY8R0a+NJL2tBAr0qnk/n79vHi5s1cGx/PA7/7HcUOB3ogzmQ62gbA6NHk9+hBat++oNN5ErCEBM+/Rdhxu93av4/F5/a2ulMlz1SFiW3btmklagcPHtzRhyOOIxI7IlQSOyIUEjciVK2KnSaqBkbp9dwWF8etiYk469r++86d/Dsvj2u7d+eO9HROj4o6WjXwr389OjSwrMwzPDA9XRKrMOSbjPsW2Qg3EjlCCCGEEOL40cjQbec1pQAAIABJREFUQGXIEIwGzz2De3r14qE+ffhfURFDvv2W7FWrWO0dGuhLp/O04TuB7MkxkEu0oXa5U1VRUcHjjz/Ohg0bWL9+PcXFxcyYMYOZM2fW27axyboyMjLYunVrk9s+9dRT3H///a0+7vbUuXNnbYZ6IVpCYkeESmJHhELiRoSqTWOnGVUDu5jNPNSnD9N69eLTwkJe2rgRc92E1UecTpLcbszeO1M6HRw54vl3eTm43TI0MEwYDAbtTlU4a5ekqqSkhDlz5jB48GDGjRvH66+/3uC2a9asqbfshx9+YOrUqVxxxRX11l111VXcc889fsvac5KytiIVaESoJHZEqCR2RCgkbkSojlnsNDE00KAoXB4RweUJCZCRAcDOqirsFRXEGgwkmc3E6PUoNptnEmG9XoYGhhGT95m4MNcuSVVaWhplZWUoikJxcXGjSVV2dna9Za+++iqKonDzzTfXW9elS5eg+wghhBBCiJNMIxMK8+mn2mZZMTFEWq0UORzsqKrCrCj00emwBN5F8x0amJR0dPlJOKmwaFy7JFWtuV1XUVHBwoULOf/88+ndu3cbHpUQQgghhDjhNGNooF5RSDSZSDCZqHK5KKmqwmQ0AlDocBCh1xOp16OAJ7EqL/cMAywuluGBIqiwj4B3332XqqoqbrnllqDrFyxYgNVqxWw2M2TIEObOndvORyiEEEIIIcJS4NDAlBRP9T/vaiAKSDMY0JnNuIFDNTVsraxkS2UlxQ4HLvAkUXl5UFp6NFHzDg/My/OsFye1sC+p/sYbb9CpUyeuvPLKeuuuu+46fv/735OamkphYSFvvPEGN910E7m5uTz++ONNtp2Tk0NaWhoxPlVgampqtGIYcXFx9Z7P2rFjB9XV1QD1yoEWFxezb98+wPNcV1xcnLbO5XKxadMmwFPj/pRTTvHbd+PGjTidTq1dg+HoS3P48GH27NkDQHJyMomJiX77/vrrr6iqitVqpW/fvn7r8vPzKS0tBTyFPnznhaisrGTXrl0AJCUl0a3u4U2vzZs3a6VP+/fv77fuwIEDFBYWAtCrVy+ioqK0dXa7nW3btgGeh1IDx1Bv374dm82GoiiceuqpfuuKiorYv38/4Bk22qlTJ22d0+kkJycHgJiYGHr27Om3b25urjafwMCBA/0ehC0rK2Pv3r0AdO/enYSEBL99N27cCEBERAR9+vTxW7d3717KysoAyMzMxGw2a+vKy8vZvXs34BmK2rVrV799c3JycDqdmM1mMjMz/dbt37+foqIiAHr37k1kZKS2rrq6mh07dgAQHx9PSkqK377btm3Dbrej1+sxmUw4nU4MBgN9+/alsLCQAwcOAJCenk5sbKy2n8PhYMuWLQDExsaSnp7u1+6uXbuorKwEYNCgQX5zMZSUlFBQUABASkoK8fHx2jq3281vv/0GQFRUFL169fJrNy8vjyN1DwD369fPb3z0kSNHyMvLA6Bbt24k+Q6vADZt2oTL5cJisZBRNxbeq6CggJKSEgD69OnjV2q1qqqKnTt3ApCYmEhycrLfvlu3bqWmpgaDwcCAAQP81h08eJBDhw4B0LNnz7DoI3bv3k15eTkAAwYMaJM+Yvv27VRXV+NyuTAYDNJHnKB9xMCBA/3WtbaPOHz4MOD5Xff9nZQ+wuNE6iOgbT9HbN++XXu/io6Obv8+wmhk81130fnjj3G53Z6kSKeDzp3hyBFcbjeqqtIvIoJKt5sih4M8m419djsDzWZwOlF1OnSqis6brNUND3QcOIAzLg6dTofFbPZL5mpqanC5XABYLBa/91aXy0VNTQ0ARqMRY93dMi+bzaYVabBarX7rHA6H9tnRbDb79Wm+7RoMhnrPJdntdtxud9B2a2trqa2tBTzPM/nGktvtxm63A6DX6/36O992AaxWq99oNafTicPhCNquqqrYbLa6S6rzizNvm75znPleQ992G7uGge16r2FFRQUbN26s10d4f0+bq8VJ1apVq7jggguate369evJyspq6Y/Q5OTk8MMPP3DHHXcEnSRu/vz5fv+/8sorGTt2LE8//TR33313vU4jkNPpJHDuY1VVtUDyBmrgPt71gdxut7bOHeQbi6ba9R5L4DH5tuv9pQxsV1XVekHk3d67byjtNnSuvu0GnqvvNQzWrvcaBhsW2tx22/u1aegaNnWutbW1OJ3OoBPFNfbaNKfd2tpaXC6X1o739W+sXd9zbelr3txrGGx/32MK1NS5OhwO3G530GpRbXENg12j5rYbLnEYah9hs9m0nxXsWkgfcdTx3Ee0pF3vvo21693H+wHIS/qI+u2GSxyGy+cIm82mvV9FRER0SB/h0Os5eMUVREdHQ58+/neySkq0/8cajXQyGqlxu6msrUUHOBWFPXY78UYjnUwmtD11OnQVFehVFUNVlacN36GBQa6d7zE19PkvcH1D+wdavXo1y5cv57bbbqNTp06Nttuan9nQvrfeeitLliypN3Fuc8412DpvQtXQfk0dkzcOGjvXYL/rjV2DYFqcVGVkZPDaa681a9vWVuF74403ABoc+hfMH//4R5YuXcrPP//MpZde2ui2BoOh3i+koihap+KbQfvuE6zTAU9m7V0X7A2ysXYVRdFevMBj8m032JuG0WhEVdWg7er1em3fUNr1/buhdgPP1fcaBmvXew2DdYbNbbc9XxvfdhuLl4auoe82vhp7bZrTrrcsrfebJm8bjbXre64Ntdvaa9jUuQZq6lxNJhMul+uYXEO3293i35twjMNQ+wjfdoL9TkofcdTx3Ee0pF3vvo2163sMvqSPqN9uuMRhuHyO8L5XKYrS4X2Eoij+CVVCApSXozgcqD77mQFzRATu2lpq3W4cbje7bDZMNTXaM1lGRUFnt6O43UErByrJyQ3WF/B9/w62TWPrGlq+evVqHn/8ca699lri4uIabNf3Zzd0TI39zMaOt6H9WnOuja1rbF+dTtdgSXbvMQWLp5bWhFDUlqZhrVRcXExiYmKD81R5ORwOunfvTlpaGj///HOz23/33Xe59tprWb58OSNHjtSWu93uehlzdHR00E5LCCGEEEKcuPLz8+uXeHe7Gy5EkZurTQhc5XJR5HBQ4nAQqdeTaTKh1tZCZCT1Poa73RAXd7RyYDtUDXzmmWe499572b17d70hvIFsNlu94X+tdeONN7Jo0SLtcYJwFzQWaHnuELYZxccff0xxcXHQMuqNefvttzEajQwZMuQYHZkQQgghhDjh6HSe5Kd3b8/QwN69Pf/3Jld1w8gi9XrSrVYGx8SQFhGBWltLlV7P5spKihwOXL73K7yTChcWws6dsGOH5+/CwmNS3GLmzJnce++9gOd5P++dmFWrVpGens6YMWNYvHgxp512GhaLhUcffRSAF198kWHDhpGUlERkZCSDBg3i73//e9ChqsuXL2fEiBHExsYSERFBv379eOqppxo9ru+//56EhATGjBlDVVVVm593OGi3QhXLli2jqqpKy/g2b97MokWLABg9erTfg2HgGfpntVq57rrrgrb3j3/8g82bNzNixAhSUlK0QhVffPEFM2fOrPeQsRBCCCGEEM0SeDcpIcEzCXBtrVY+3aAoGNxuVEVBZzRidrvZY7NRUPfcVZLZjEWng+rqdptU+JZbbqG0tJQXXniBxYsXa8VDvMWE1q1bx5YtW5g+fTo9e/bUCuDs2rWL6667jp49e2Iymdi4cSOzZs1i69at/Oc//9Haf+ONN5g8eTLnn38+r7zyCklJSWzfvl0rohLM+++/zw033MBNN93ECy+8EHRI54mg3ZKqKVOmaJVnABYuXMjChQsB6t2ezM/P54svvuCPf/yjX1UiX5mZmXz88cd8+umnlJWVYbVaycrK4p133mHChAnH9FyEEEIIIcSJ6cCBA1qFTK+4uDh6pqdjLyhg8/r1R4cHRkZCZSWnDxhA74gIftu5k4LycrY6ncQZDCTpdKQmJZGQnExxaSn5vu263UQXFtInOxuXy8XGDRu0ZK5bt271qik2R0pKilbT4LTTTqs3/K+wsJDNmzfXq/L4z3/+0+ew3Jx33nnEx8czadIknn32WeLi4qisrOQvf/kL55xzDitXrtSeORoxYkSDx/O3v/2Nhx56iCeffJL77ruvxedzPGm3pMpbDrU5UlNTg1Z78TV27FjGjh3byqMKH0VFRdpDxU1VLRTCl8SOCJXEjgiFxI0I1fESO6+++qo2LM7r+uuvZ968eRQ4HAwZN67ePurWraDTceuDD7J2wwa/dc8/8QTDRo3i048/5qEnn/Rbd8m55/L5Bx9QtW8fQ4YO1ZbPeOQRZgYcQ1s49dRT6yVU4KnYPWPGDL7//nuthL7X9u3bOfPMM1m9ejXl5eXcfvvtTRZxUFWV2267jbfeeosFCxbwhz/8IeRj9h2C2FCRl3AQ9vNUnSz279+vlRkN545GhB+JHREqiR0RCokbEarjJXZuu+02LrvsMr9l3jnDUlJS+OWXX/x3cLvBaITaWt58+mmqvNMNuFxQW0tSejouo5Ezhw9nXr9+RBkMJBiNWPV6onU6KC0l0mrllw8/1Nrrlpx89G5YGwp292vv3r2cd955ZGRkMHv2bNLT07FYLPz444/ccccd2vQJ3nnzAufFC8bhcPDee+8xYMCAJqtxN8Vb7ryhSqnhQpIqIYQQQggh6jQ29M5isXD66afXX1FXOTBDr/evHFg3qTVA97Q0SpKTKaqpIS0igmiXC7vDgUunQ68onO47ybS3EmEbVw0MdodpyZIlVFVVsXjxYtLS0rTlGwLuuHkTYe8k340xm8189dVXjBw5kosuuojly5f7TWZ9IpKkKkykpaXhdrulxLtoMYkdESqJHREKiRsRqhM6dryVA5OS6idAZWWg02FQFLqYTCSZTJ7ldjt5qkp1eTnxJhNJZjNW77XxVg2E4CXeG7mGZrMZqD9Bd0O8iZZ3P/AM3wucl/bss88mNjaWV155hQkTJjQ5BPC0007j66+/5qKLLmL48OH873//I8mbJLaAyXu9wpwkVWGiU6dOHX0I4jglsSNCJbEjQiFxI0J10sRO4KTCAVUDFfAMDVQUTomMpMjhoNjhoMjhINpgIN1qxdySqoEBSdygQYMAmD17NhMnTsRoNJKRkdHg4V588cWYTCauvfZa7rvvPux2Oy+//DJlZWV+20VFRfHss89yyy23cNFFFzF58mS6dOnCzp072bhxI//+97/rtd2vXz++/fZbLrroIoYNG8aKFSuaNXzQV7BJqcPRCfhVgRBCCCGEEGFAp/MkQHFxRxMjRYHOnSEiApNOR3eLhUExMZwSEYEOMOp04HBQ5nLhCLwbpNN5ErSiogbnvho+fDgPPPAAn3zyCeeeey5nnHFG/efAfGRmZvLBBx9QVlbG+PHjueuuu8jKyuL555+vt+3NN9/MZ599hsvl4pZbbmHMmDE899xzWsXBYE455RS+/fZbFEXhvPPOIzc3N8SLGd4UVfWdoezE1dJZkYUQQgghxIkpPz+f1NTU9v/BvneVCgu1oYGB3FVV/Op04gQ6GY0kmUxEGwyeu1yqCjYbmM2eu1jaTnUFM9p47qsTXUOx0NLcQa54mHA6ndTW1uJ0Ojv6UMRxRmJHhEpiR4RC4kaESmKH+kMDjUZPMuTL5UKnKAyKiaGH1UqNy8X2qio2V1TgBs+dKrfbP6GCo3exiouPLjsB7p2oqorb7Sbc7wMdH4MUTwI5OTlamdHBgwd39OGI44jEjgiVxI4IhcSNCJXETgDv0MDiYv9iFJ07w5Ej6IEkk4lEk4lKp5Mqlwsd4K6tZZ+qEu9yEREssQqxwEW4stlsWkn1iIiIjj6cBklSJYQQQgghREdoRtVABYg2GIiuK9hQo6qUqiqHKiuJ0utJNJuJMxqPDj9rboEL0aYkqQoTMTExOJ3O46bCiQgfEjsiVBI7IhQSNyJUEjtNaKJqIABuN1a9nkGRkRxxOil0ONhdXU2xwUBGZCQ4HJ4kqrGhgSGUNe9Ier1eu1MVzqRQhWTrQgghhBAnlQ4rVNES3gmAA4fxqSocPqwlWza3G6eqEq3XU11ZyT5VJclqJcZb2MKXokDv3kf/30aTCh/P2qpQhXxVIIQQQgghRLhpaGig2w1VVdpdLG3CYJcLl6LgUFV2VFVh1ulINJlIMJkw+O7rckFJyQnzzFW4kCsnhBBCCCFEOPO9m9TI3FfRkZH0j44mMyqKSL2efXY7B2pqAFC97ezZA6WlR/fzPnOVl+dfifDkGMzWZuROlRBCCCGEEMeTRgpcKGVlROn1REVEUOuTGB2y2ylzuUg0GOhsNvvfWfGdVFhR5C5WCCSpChO5ubnaw5unnHJKRx+OOI5I7IhQSeyIUEjciFBJ7BwjjRS4MPoM+4swmSi32ciz2ymoqSGhrly72ZssKQocPHh0UuEwqRxYU1OjFaowm83t/vObS5KqMFFRUaHN3SBES0jsiFBJ7IhQSNyIUEnstIOG5r6KiyMmPp6YXbuwqypFDgdFDgfRBgNmnY5aVcVQW4vS1KTC3sqB7VjgwuVyHRfV/+Q+nhBCCCGEECeAlStXctMtt5A5bBiRgwfT/YILuPyee/glP9+TLOl0WHQ6Ui0Wpt5+O53690fp2xdzZiZRv/sdPS+7jCvvuotFy5fj9n2+yjupcGEh7NwJO3Z4/i4s5MaJE1EUJeifpUuXArBz504URWHevHlak6+//jqKolBQUKAtmzdvHs8//3y7Xa+2JHeqwsTAgQM7+hDEcUpiR4RKYkeEQuJGhEpi59h7+eWXKSkp4c9//jP9+/enqKiIZ599luzsbD7//HMuHDjQb1LhU1JTmf/ss9hcLvaVlbFt3z5Wff01V999N+cOHconr75Kp+hoT+ONTCpstVpZuXJlvePJzMwEIDU1lTVr1tDbt5x7EPPmzWPnzp3cfffd2jKr1dpm1+dYkqQqTOgDb7UK0UwSOyJUEjsiFBI3IlQSO8feiy++SFLA5L6jRo2id+/ePPnkk1z4xRdHn7kCrBYL2VlZnmGCNTXUms3cMWECry9axMOPPspt06fzxj//idXpRN/QpMJuNzpFITs727MsyNBAs9l8dH0LtcWwP5vNdsyTMxn+J4QQQgghRFvpwFLkgQkVQFRUFP379yc/P9+/HLuXonj+36ULRqCr2cz0669n9Pnns3D5cr7euZNf7XbyAbvvkEDf/SHo0EBvifZgw/8CnXvuuXz++efs2rVLGz5oMBy9/1NTU8Njjz1GRkYGZrOZpKQkbr75ZoqLi/3aSUlJYdy4cSxcuJCsrCwsFguzZs1q7iUMmdypEkIIIYQQojVsNpg7Fz7/HGpqPBX0Ro6ESZOgg4evHTlyhHXr1nHhhRd6FnjLsVutnkmEvUPyAiYVvmzECD77+msKc3IYnJxMscvFoYoKYgwGekdG+t+ZUVWchYVH72S5XCjFxei9VQObYc6cOdx8880UFBSwcOFC4OhdKpfLxZgxY1i7di3Tpk0jOzubvLw8HnnkEX766Sd+/PFHLBaL1taPP/7Ipk2bmD59Ounp6URFRbXiCjaPJFVhoqysDLfbjU6nI8732wMhmiCxI0IlsSNCIXEjQnXCxo7NBpMnQ34+REeD0eh59uj992H1anjttQ5NrO644w6qqqp46KGHGt8woHJgWrduABRVVZESHU2yqlLqdGJzudDhmUy4sKYGt8tFlc2GcdAgv+bOOf10vluwwNOeVyN38fr3709sbCxFRUV+QwWdTifz589nxYoVfPTRR1x22WXaukGDBpGdnc3bb7/N5MmTteXFxcVs2bKFXr16NXl92ookVWFi7969WpnRE6qjEcecxI4IlcSOCIXEjQjVCRs7c+d6EqqYmKPLFMWTYBUUwJtvwpQpHXJoDz/8MPPnz+eFF15gyJAhTe/gM6mwun27Z1lUFMTGoisrI8Fo9CSNgN3lYl/dhMIWi4Xlb79NRF0BDIDoyMijVQNLSz0LDx70DA2MidGGBjbF4XDwySefEB8fz+jRo3E6ndq6IUOGkJCQwKpVq/ySqqysrHZNqECSKiGEEEIIIUL3+eeeBCqYqChYvrxDkqpHH32UJ554glmzZnHnnXe2eP89e/cCkJycXG9SYQCrXs+pkZFE1D3/FJmeTiejkd4REf4NVVfD4cOef/tWDSwpafaxFBYWUlJS0uAcZ4HPVXWru8vWntolqVq5ciXz5s1j9erV5Ofn06lTJ4YOHcojjzwSNGtet24d9913H2vXrsVgMHDhhRfyzDPPBJ19+4UXXuDFF19k9+7dJCcnc+ONN/Lggw8edxPLde/eXbslLkRLSOyIUEnsiFBI3IhQnZCxo6qeZ6ga+typKJ717ThZLngSqpkzZzJz5kwefPDBkNr4+OOPURSFYcOGNTipsCE+HqvRiE5R6BMZiVo3vM/udlNYU0OiomBtqGqgy+W/rIGhgUajkcTERLp06aLNexUoxvcuIW1TMbCl2iWparJmvvfBOWDr1q0MHz6crKws3n//fex2O4888gjnnXceGzZsIDExUdt21qxZPPzww9x///1ccskl/PTTT0yfPp19+/YxZ86c9ji1NpOQkNDRhyCOUxI7IlQSOyIUEjciVCdk7CiKpyiFyxU8aVJVz/p2/JD/+OOPM3PmTKZPn86MGTNCamPu3LksW7aM6667jh49engW+gwN9EsSTSYAYn0q9dndbkpraylUVaJ1OirqSrj78e5fXAx2O7jdmJ1ObFVVWtIGnqTqsssuY/HixSiK0rxhjB2gXZKqJmvm+yRVjzzyCGazmaVLl2pZ55AhQ+jTpw/PPPMMf/vb3wAoKSnhiSeeYPLkyTz55JMADB8+nNraWqZPn87UqVPp379/e5yeEEIIIYQ4WY0c6SlKEWwIYGUlXHNNux3Ks88+yyOPPMKoUaP4/e9/z9q1a/3WB84VZbPZtG1sNhu5ubksWbKEpUuXcv755/PKK68E/0G+SaLZ7PnbJxHqZDBwamQkZTYbRUC+3d7wQR8+DJGRoCgM6tuXj7/8kjlPPUXWiBHojUaGDBnC9ddfz4IFCxg5ciRTp05l6NChGAwG9u3bx8qVK7nqqqsYO3Zsi65VW2uXpKrJmvl1nE4nS5cu5YYbbvC7jZeWlsYFF1zAhx9+qCVVy5cvx263M2nSJL92J02axEMPPcSSJUskqRJCCCGEEMfWpEmeKn8FBZ5nqLzPDVVWQmoq3Hhjux3KJ598Ang+Jy9fvrzeejVgiF1ubi5nnXUWAJGRkXTp0oXTTz+dhQsXMn78+OYN1VSUo3Nd+QwN1HXuTPyRI8QDtT7PWRU5HJQ7ndi9d698hgb+ZdIktuzaxbS//53D06ej1+txOp0YDAaWLl3Kc889x7x585g1axYGg4GUlBSGDx8eFp/5FTXw6raTI0eOkJaWxoUXXsjixYsB2LZtG5mZmbz44ovcfvvtftvfe++9PPvss1RXV2OxWHjggQd4+umnqaysJDIy0m/bxMRELr74YhYsWKAtc7vdVFRU+G0XHR19Yo3rFUIIIYQQTcrPzyc1NbXtGrTZPFX+li8/Ok/VqFGehKqD56lqd75DAwsLPUUpfD5vl9bWst9ux+52Y1EUkiwW4o1G9IFDJBXl6Bxax1BDsdDS3KHDqv8Fq5lfUlcFpHPnzvW279y5M6qqUlZWRrdu3SgpKcFsNtdLqLzbljSjokhOTg5paWl+d8VqamrYunUrAHFxcUfHkdbZsWMH1dXVAAwePNhvXXFxMfv27QOgR48efuVCXS4XmzZtAjwvSGDRjV9++UX79iArK8tvBunDhw+zZ88ewFOBxfe5MoBff/0VVVWxWq307dvXb11+fj6ldWUsMzIy/CZGq6ysZNeuXYDnbmJgpZTNmzdrpU8DvwE4cOAAhYWFAPTq1ctvUjW73c62bdsAz2sRGKjbt2/HZrOhKAqnnnqq37qioiL2798PeO5QdurUSVvndDrJyckBPA8k9uzZ02/f3NxcLfgHDhyI3uebj7KyMvbWVbHp3r17vXHdGzduBCAiIoI+ffr4rdu7dy9lZWUAZGZmYvbe5gbKy8vZvXs3AF26dKFr165+++bk5OB0OjGbzWRmZvqt279/P0VFRQD07t3bL5arq6vZsWMHAPHx8aSkpPjtu23bNux2O3q9HpfLpb1OgwcPprCwkAMHDgCQnp5ObGystp/D4WDLli0AxMbGkh4wId+uXbuorKwEPHM/+HYcJSUlFBQUAJ7ZyuPj47V1breb3377DfDchQ4sY5qXl8eRI0cA6NevH6a68dfg+YIlLy8P8FTrCbyzvWnTJlx15VozMjL81hUUFGi/63369CHC55uwqqoqdu7cCXi+aElOTvbbd+vWrdTU1GAwGBgwYIDfuoMHD3Lo0CEAevbsGRZ9xO7duykvLwdgwIABbdJHbNy4kdq6bwqNRqP0ESdoHzFw4EC/da3tI7znajAYyMrK0tZJH+FxIvUR0LafI7x9jtFoJCkpqUP7CGuQRKempgZXXfEEq9XqV+zA6XTicDgAT38ZWBCtWlVh4kR0kyZhCXiGyrddi8Xi997qcrmoqalpsF2bzYaqqiiKUu+YHQ6HVl7cbDb79Wm+7RoMBr/fKfBcY7fbHbTd2tpa7b3BZDL5xZLb7cZeN5RPr9f79Xe+7WrX0KdqoFtRcLvdxOh0dLJaqaypoUhR2GuzYVQUouuui6Io6HU6zx0vVaW67hp41wVew6ZeG+811Ol0fvHrvYYVFRVs3LixXh/h/T1trhYnVatWreKCCy5o1rbr16/363C9mqqZ31jFDt91zd2uIU6ns95tUFVVtUDyrYPvu09tsIft8ASad507SO39xtoNPIaG2nUFVkqpa1dV1aAVD70fuENtt6Fz9W038Fx9r2Gwdr3XMNhr1Nx22/O18W23sXhp6Bo6nc6g32o09tpvPtgBAAAPC0lEQVQ0p93a2lpcLpdfJ9pUu77n2tLXvLnXMNj+vscUqKlzdTgcuN3ueucZ2G6o1zDYNWpuu+ESh63pIwK3aWm70keEfx/Rkna9+zbWbkOkj6jfbrjEoXyOqN9u4Idr7/rGBnA1Z53aQJW/hvb1/ZnBtmmzY2qg3db8zGbt61s18PBh7S6WGhdHTEUFMYDD7cag0+EOfK11unrXsrHr2NB6bxw0drzBftdbOpivxUlVRkYGr732WrO2Dfx2Bhqvme/9VivYXabS0lIURdG+cYiPj8dut1NdXe2XVXq3bU5lEIPBUO8XUlEUrVPxzcx992nog4lOp9PWBXuDbKpdbycZeEy+7QZ70zAajaiqGrRdvV6v7RtKu75/N9Ru4Ln6XsNg7XqvYbDOsLnttvdr09A1bOpcvefZ1DUMpV1vQmU2m7Xxxk2163uuDbXb2mvY1LkGaupcTSYTLpfrmFxDt9vd4t+bcIzDUPuIiIgIqqurtfiRPuLE7CNa0q5336aOF6j33it9RP12wyUOw+VzREREhNbfdHQfEWxfpW6+pYY0Z11D2zS2vLF9Q223qX29P7c116HZ+9ZVDXR37qzdUTKZTJ7lZWWYdDrqpS9ut+cZLTyvo9vt1u7YtfSYdDpdg/t6jzdYPLW0LHu7PlPlWzM/WIlHp9NJTEwMEydO5OWXX/ZbN2rUKHJzc9leN7vzggULuP7661m7di1nnnmmtt3Bgwfp1q0bs2bN8qvLL89UCSGEEEIIOAbPVImWc7shL89vQmFtudHoucPVDp/T2+qZqnbLKJpTM99gMDB27FgWL17sdxJ79+7lq6++Yvz48dqyUaNGYbFYePPNN/3aePPNN1EUhXHjxh2T8xBCCCGEEEK0kndoYFzc0YqJ3iqC7ZRQtaV2KVTRkpr5jz76KGeccQZjxozh/vvv1yb/TUhI4J577tG269y5M9OnT+fhhx+mc+fO2uS/M2fO5JZbbgmL0opCCCGEEEKIBjQ0ofBxqF2G/w0fPpyvv/66wfWBh/DLL78wbdo01qxZg8Fg4MILL+SZZ56pVy0I4Pnnn+fFF18kLy+Prl27avNUBY5XluF/QgghhBACPEO+UlJSWvzcjDixqKpKQUFBmwz/67B5qtpbuCdVe/fu1R7eDFbgQ4iGSOyIUEnsiFBI3IhQhVPsFBYWEhUVVa/gigg/3tLwQL0S7q1VXV1NZWVlvakaIIyfqRKNKysro7S0VJv/Q4jmktgRoZLYEaGQuBGhCqfYiY+Pp7i4uNFpAkR4cLlcOJ3OoOX1W6O2tpbi4mK/OfVao8Mm/xVCCCGEEKIj6PV6EhMTKSwsDDonmAgfFRUVWkn06OjoNmtXp9ORmJgYtGx/KGT4X5gM/6upqdECpq1vbYoTm8SOCJXEjgiFxI0IlcSOCEVHxU1Lcwe5UxUmpHMRoZLYEaGS2BGhkLgRoZLYEaE4XuImPG7TCCGEEEIIIcRxSpIqIYQQQgghhGiFk2b4X7BHx8LpwUTfMZtt+RCeOPFJ7IhQSeyIUEjciFBJ7IhQdFTcBMsTGitFcdIUqnA6nVRVVXX0YQghhBBCCCGOQ5GRkRgMwe9JyfA/IYQQQgghhGgFSaqEEEIIIYQQohUkqRJCCCGEEEKIVjhpnqlyu931HjhTFAVFUTroiIQQQgghhBDhSFXVeoUpdDpdg5P/njRJlRBCCCGEEEIcCzL8TwghhBBCCCFaQZKqDlZZWcnUqVNJTk7GYrGQlZXFu+++29GHJcLIypUruemmm8jMzCQyMpLu3btz+eWX88svv9Tbdt26dVx00UVERUXRqVMnxo8fT25ubgcctQhHr7/+OoqiEBUVVW+dxI4I9N133zF69Gji4uKwWq306dOHxx9/3G+bFStWcNZZZxEREUFCQgI33ngjhYWFHXTEoqOtX7+ecePGkZycTEREBJmZmTz22GNUV1f7bSf9zcmroqKC++67j0suuYTExEQURWHmzJlBt21JnLzwwgtkZmZiNpvp2bMnjz76KLW1tcfwTOqTpKqDjR8/nrfeeosZM2awbNkyzjjjDK699loWLFjQ0YcmwsTLL79MXl4ef/7zn/nss8+YPXs2hYWFZGdns3LlSm27rVu3Mnz4cBwOB++//z7/+c9/2L59O+eddx5FRUUdeAYiHOzbt4+//vWvJCcn11snsSMCLViwgPPPP5/Y2Fj++9//8tlnnzFt2jS/5wu+/vprLr30Urp06cJHH33E7NmzWbFiBSNGjKCmpqYDj150hM2bN3P22WeTl5fHc889x9KlS5kwYQKPPfYY1157rbad9Dcnt5KSEubMmUNNTQ3jxo1rcLuWxMmsWbP485//zPjx4/n888+5/fbbefLJJ7njjjuO9en4U0WH+fTTT1VAXbBggd/yiy++WE1OTladTmcHHZkIJ4cOHaq3rKKiQu3SpYs6YsQIbdnVV1+tJiQkqEeOHNGW5eXlqUajUb3vvvva5VhF+BozZow6duxYdeLEiWpkZKTfOokd4augoECNjIxUp0yZ0uh2Z5xxhtq/f3+1trZWW/b999+rgPrSSy8d68MUYeahhx5SAXXnzp1+y2+99VYVUEtLS1VVlf7mZOd2u1W3262qqqoWFRWpgDpjxox62zU3ToqLi1WLxaLeeuutfvvPmjVLVRRFzcnJOTYnEoTcqepAH374IVFRUVx99dV+yydNmsT+/fv54YcfOujIRDhJSkqqtywqKor+/fuTn58PgNPpZOnSpVx55ZXExMRo26WlpXHBBRfw4YcfttvxivAzb948vv76a1566aV66yR2RKDXX3+dqqoqpk2b1uA2+/bt46effuJPf/oTBoNBW3722WfTt29fiZuTkNFoBCA2NtZveadOndDpdJhMJulvRLMqb7ckTpYvX47dbmfSpEl+bUyaNAlVVVmyZEnbnkAjJKnqQJs2baJfv35+b0gAp556qrZeiGCOHDnCunXrGDBgAAC7du3CZrNpsePr1FNPZefOndjt9vY+TBEGCgsLmTp1Kk8//TQpKSn11kvsiEDffPMNnTt3ZuvWrWRlZWEwGEhKSuL//u//KC8vB46+PzUUN/L+dfKZOHEinTp1YsqUKeTm5lJRUcHSpUt59dVXueOOO4iMjJT+RjRLS+LE29cMGjTIb7tu3bqRkJDQrn2RJFUdqKSkhM6dO9db7l1WUlLS3ockjhN33HEHVVVVPPTQQ8DRWGkonlRVpaysrF2PUYSH22+/nYyMDKZMmRJ0vcSOCLRv3z6qq6u5+uqrueaaa1ixYgX33nsv//3vfxk9ejSqqjYZN/L+dfJJT09nzZo1bNq0iV69ehETE8PYsWOZOHEis2fPBqS/Ec3TkjgpKSnBbDYTGRkZdNv27IsMTW8ijqXGboHKxMQimIcffpj58+fzwgsvMGTIEL91Ek/C1wcffMAnn3zC+vXrm3z9JXaEl9vtxm63M2PGDO6//34Ahg8fjslkYurUqXz55Zfatg3FhsTMyScvL4+xY8fSpUsXFi1aRGJiIj/88ANPPPEElZWVvPHGG9q20t+I5mhunIRLPElS1YHi4+ODZtClpaVA8AxdnNweffRRnnjiCWbNmsWdd96pLY+PjweC390sLS1FURQ6derUbscpOl5lZSV33HEHd911F8nJyRw+fBgAh8MBwOHDhzEajRI7op74+Hh27NjByJEj/ZZfeumlTJ06lXXr1jF48GCg4biR96+Tz/333095eTkbNmzQ7hoMGzaMhIQEbrrpJm644Qa6du0KSH8jGteS96X4+HjsdjvV1dVERETU2zbwy+djSYb/daBBgwaxZcsWnE6n3/LffvsNgIEDB3bEYYkw9eijjzJz5kxmzpzJgw8+6LeuV69eWK1WLXZ8/fbbb/Tu3RuLxdJehyrCQHFxMYcOHeLZZ58lLi5O+/POO+9QVVVFXFwc119/vcSOqCfYcwyAVk5dp9Np708NxY28f518NmzYQP/+/esNwzrjjDMAtGGB0t+IprQkTrzPUgVue/DgQYqLi9u1L5KkqgNdccUVVFZW8sEHH/gtf+utt0hOTubMM8/soCMT4ebxxx9n5syZTJ8+nRkzZtRbbzAYGDt2LIsXL6aiokJbvnfvXr766ivGjx/fnocrwkDXrl356quv6v0ZOXIkFouFr776iieeeEJiR9Rz5ZVXArBs2TK/5Z999hkA2dnZdO/end/97nfMmzcPl8ulbbN27Vq2bdsmcXMSSk5OJicnh8rKSr/la9asASAlJUX6G9EsLYmTUaNGYbFYePPNN/3aePPNN1EUpdG5sNpcuxVvF0FdfPHFalxcnDpnzhx15cqV6uTJk1VAnTdvXkcfmggTzzzzjAqoo0aNUtesWVPvj9eWLVvUqKgoddiwYepnn32mLl68WB04cKCanJysFhYWduAZiHASbJ4qiR0RaOzYsarZbFYff/xx9X//+5/61FNPqRaLRR0zZoy2zVdffaUaDAb1iiuuUP/3v/+p8+fPV1NTU9WBAweqdru9A49edISPPvpIVRRFzc7OVt977z31yy+/VGfNmqVGRUWp/fv3V2tqalRVlf5GqOpnn32mLly4UP3Pf/6jAurVV1+tLly4UF24cKFaVVWlqmrL4uSJJ55QFUVRH3zwQXXVqlXqP/7xD9VsNquTJ09u1/OSpKqDVVRUqHfffbfatWtX1WQyqaeeeqr6zjvvdPRhiTBy/vnnq0CDf3z9/PPP6ogRI9SIiAg1JiZGHTduXL2JGMXJLVhSpaoSO8JfdXW1Om3aNDU1NVU1GAxqjx491AceeKBesvTFF1+o2dnZqsViUTt37qzecMMNQScsFyeHlStXqpdcconatWtX1Wq1qn379lXvuecetbi42G876W9ObmlpaQ1+ptm9e7e2XUviZPbs2Wrfvn1Vk8mk9ujRQ50xY4bqcDja6Yw8FFWtGyQthBBCCCGEEKLF5JkqIYQQQgghhGgFSaqEEEIIIYQQohUkqRJCCCGEEEKIVpCkSgghhBBCCCFaQZIqIYQQQgghhGgFSaqEEEIIIYQQohUkqRJCCCGEEEKIVpCkSgghhBBCCCFaQZIqIYQQQgghhGgFSaqEEEIIIYQQohUkqRJCCCGEEEKIVpCkSgghhBBCCCFa4f8DLvhJxJ2ky4kAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "compare_1D_2D(x0=0, P=50., R=5., Q=.02, vel=-2., u=1.) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we are tracking a robot which we are also controlling the univariate filter can do a very good job because the control input allows the filter to make an accurate prediction. But if we are tracking passively the control input is not much help unless we can make an accurate *apriori* guess as to the velocity. This is rarely possible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How Velocity is Calculated\n", "\n", "I haven't explained how the filter computes the velocity, or any hidden variable. If we plug in the values we calculated for each of the filter's matrices we can see what happens.\n", "\n", "First we need to compute the system uncertainty.\n", "\n", "$$\\begin{aligned}\n", "\\textbf{S} &= \\mathbf{H\\bar PH}^\\mathsf T + \\mathbf R \\\\\n", "&= \\begin{bmatrix} 1 & 0\\end{bmatrix}\n", "\\begin{bmatrix}\\sigma^2_x & \\sigma_{xv} \\\\ \\sigma_{xv} & \\sigma^2_v\\end{bmatrix}\n", "\\begin{bmatrix} 1 \\\\ 0\\end{bmatrix} + \\begin{bmatrix}\\sigma_z^2\\end{bmatrix}\\\\\n", "&= \\begin{bmatrix}\\sigma_x^2 & \\sigma_{xv}\\end{bmatrix}\\begin{bmatrix} 1 \\\\ 0\\end{bmatrix}+ \\begin{bmatrix}\\sigma_z^2\\end{bmatrix} \\\\\n", "&= \\begin{bmatrix}\\sigma_x^2 +\\sigma_z^2\\end{bmatrix}\n", "\\end{aligned}$$\n", "\n", "Now that we have $\\mathbf S$ we can find the value for the Kalman gain:\n", "$$\\begin{aligned}\n", "\\mathbf K &= \\mathbf{\\bar PH}^\\mathsf T \\mathbf{S}^{-1} \\\\\n", "&= \\begin{bmatrix}\\sigma^2_x & \\sigma_{xv} \\\\ \\sigma_{xv} & \\sigma^2_v\\end{bmatrix}\n", "\\begin{bmatrix} 1 \\\\ 0\\end{bmatrix}\n", "\\begin{bmatrix}\\frac{1}{\\sigma_x^2 +\\sigma_z^2}\\end{bmatrix} \\\\\n", "&= \\begin{bmatrix}\\sigma^2_x \\\\ \\sigma_{xv}\\end{bmatrix}\n", "\\begin{bmatrix}\\frac{1}{\\sigma_x^2 +\\sigma_z^2}\\end{bmatrix} \\\\\n", "&= \\begin{bmatrix}\\sigma^2_x/(\\sigma_x^2 +\\sigma_z^2) \\\\ \\sigma_{xv}/(\\sigma_x^2 +\\sigma_z^2)\\end{bmatrix}\n", "\\end{aligned}\n", "$$\n", "\n", "In other words, the Kalman gain for $x$ is \n", "\n", "$$K_x = \\frac{VAR(x)}{VAR(x)+VAR(z)}$$\n", "\n", "This should be very familiar to you from the univariate case. \n", "\n", "The Kalman gain for the velocity $\\dot x$ is\n", "$$K_{\\dot x} = \\frac{COV(x, \\dot x)}{VAR(x)+VAR(z)}$$\n", "\n", "What is the effect of this? Recall that we compute the state as \n", "\n", "$$\\begin{aligned}\\mathbf x \n", "&=\\mathbf{\\bar x}+\\mathbf K(z-\\mathbf{Hx)} \\\\\n", "&= \\mathbf{\\bar x}+\\mathbf Ky\\end{aligned}$$\n", "\n", "Here the residual $y$ is a scalar. Therefore it is multiplied into each element of $\\mathbf K$. Therefore we have\n", "\n", "$$\\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}=\\begin{bmatrix}\\bar x \\\\ \\bar{\\dot x}\\end{bmatrix} + \\begin{bmatrix}K_x \\\\ K_{\\dot x}\\end{bmatrix}y$$\n", "\n", "Which gives this system of equations: \n", "\n", "$$\\begin{aligned}x& = \\bar x + yK_x\\\\\n", "\\dot x &= \\bar{\\dot x} + yK_{\\dot x}\\end{aligned}$$\n", "\n", "The prediction $\\bar x$ was computed as $x + \\bar x \\Delta t$. If the prediction was perfect then the residual will be $y=0$ (ignoring noise in the measurement) and the velocity estimate will be unchanged. On the other hand, if the velocity estimate was very bad then the prediction will be very bad, and the residual will be large: $y >> 0$. In this case we update the velocity estimate with $yK_{\\dot x}$. $K_{\\dot x}$ is proportional to $COV(x,\\dot x)$. Therefore the velocity is updated by the error in the position times the value proportional to the covariance between the position and velocity. The higher the correlation the larger the correction. \n", "\n", "To bring this full circle, $COV(x,\\dot x)$ are the off-diagonal elements of $\\mathbf P$. Recall that those values were computed with $\\mathbf{FPF}^\\mathsf T$. So the covariance of position and velocity is computed during the predict step. The Kalman gain for the velocity is proportional to this covariance, and we adjust the velocity estimate based on how inaccurate it was during the last epoch times a value proportional to this covariance. \n", "\n", "In summary, these linear algebra equations may be unfamiliar to you, but computation is actually very simple. It is essentially the same computation that we performed in the g-h filter. Our constants are different in this chapter because we take the noise in the process model and sensors into account, but the math is the same." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adjusting the Filter\n", "\n", "Let's start varying our parameters to see the effect of various changes. This is a very normal thing to be doing with Kalman filters. It is difficult, and often impossible to exactly model our sensors. An imperfect model means imperfect output from our filter. Engineers spend a lot of time tuning Kalman filters so that they perform well with real world sensors. We will spend time now to learn the effect of these changes. As you learn the effect of each change you will develop an intuition for how to design a Kalman filter. Designing a Kalman filter is as much art as science. We are modeling a physical system using math, and models are imperfect.\n", "\n", "Let's look at the effects of the measurement noise $\\mathbf R$ and process noise $\\mathbf Q$. We will want to see the effect of different settings for $\\mathbf R$ and $\\mathbf Q$, so I have given the measurements a variance of 225 meters squared. That is very large, but it magnifies the effects of various design choices on the graphs, making it easier to recognize what is happening. Our first experiment holds $\\mathbf R$ constant while varying $\\mathbf Q$." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy.random import seed\n", "seed(2)\n", "trk, zs = compute_dog_data(z_var=225, process_var=.02, count=50)\n", "\n", "run(track=trk, zs=zs, R=225, Q=200, P=P, plot_P=False, \n", " title='R_var = 225 $m^2$, Q_var = 20 $m^2$')\n", "run(track=trk, zs=zs, R=225, Q=.02, P=P, plot_P=False, \n", " title='R_var = 225 $m^2$, Q_var = 0.02 $m^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The filter in the first plot should follow the noisy measurement closely. In the second plot the filter should vary from the measurement quite a bit, and be much closer to a straight line than in the first graph. Why does ${\\mathbf Q}$ affect the plots this way?\n", "\n", "Let's remind ourselves of what the term *process uncertainty* means. Consider the problem of tracking a ball. We can accurately model its behavior in a vacuum with math, but with wind, varying air density, temperature, and a spinning ball with an imperfect surface our model will diverge from reality. \n", "\n", "In the first case we set `Q_var=20 m^2`, which is quite large. In physical terms this is telling the filter \"I don't trust my motion prediction step\" as we are saying that the variance in the velocity is 20. Strictly speaking, we are telling the filter there is a lot of external noise that we are not modeling with $\\small{\\mathbf F}$, but the upshot of that is to not trust the motion prediction step. The filter will be computing velocity ($\\dot x$), but then mostly ignoring it because we are telling the filter that the computation is extremely suspect. Therefore the filter has nothing to trust but the measurements, and thus it follows the measurements closely. \n", "\n", "In the second case we set `Q_var=0.02 m^2`, which is quite small. In physical terms we are telling the filter \"trust the prediction, it is really good!\". More strictly this actually says there is very small amounts of process noise (variance 0.02 $m^2$), so the process model is very accurate. So the filter ends up ignoring some of the measurement as it jumps up and down, because the variation in the measurement does not match our trustworthy velocity prediction.\n", "\n", "Now let's set `Q_var` to $0.2\\, m^2$, and bump `R_var` up to $10,000\\, m^2$. This is telling the filter that the measurement noise is very large. " ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run(track=trk, zs=zs, R=10000, Q=.2, P=P, plot_P=False, \n", " title='R=$10,000\\, m^2$, Q=$.2\\, m^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The effect of this can be subtle. We have created an suboptimal filter because the actual measurement noise variance is 225 $m^2$, not 10,000 $m^2$. By setting the filter's noise variance so high we force the filter to favor the prediction over the measurement. This can lead to apparently very smooth and good looking results. In the chart above the track may look extremely good to you since it follows the ideal path very closely. But, the 'great' behavior at the start should give you pause - the filter has not converged yet ($\\mathbf P$ is still large) so it should not be able to be so close to the actual position. We can see that $\\mathbf P$ has not converged because the entire chart is colored with the yellow background denoting the size of $\\mathbf P$. Let's see the result of a bad initial guess for the position by guessing the initial position to be 50 m and the initial velocity to be 1 m/s." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run(track=trk, zs=zs, R=10000, Q=.2, P=P, plot_P=False,\n", " x0=np.array([50., 1.]), \n", " title='R=$10,000\\, m^2$, Q=$.2\\, m^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can see that the filter cannot acquire the track. This happens because even though the filter is getting reasonably good measurements it assumes that the measurements are bad, and eventually predicts forward from a bad position at each step. If you think that perhaps that bad initial position would give similar results for a smaller measurement noise, let's set it back to the correct value of 225 $m^2$." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run(track=trk, zs=zs, R=225, Q=.2, P=P, plot_P=False, \n", " x0=np.array([20., 1.]),\n", " title='R=$225\\, m^2$, Q=$.2\\, m^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see that the filter initially struggles for several iterations to acquire the track, but then it accurately tracks our dog. In fact, this is nearly optimum - we have not designed $\\mathbf Q$ optimally, but $\\mathbf R$ is optimal. A rule of thumb for $\\mathbf Q$ is to set it between $\\frac{1}{2}\\Delta a$ to $\\Delta a$, where $\\Delta a$ is the maximum amount that the acceleration will change between sample periods. This only applies for the assumption we are making in this chapter - that acceleration is constant and uncorrelated between each time period. In the Kalman Math chapter we will discuss several different ways of designing $\\mathbf Q$.\n", "\n", "To some extent you can get similar looking output by varying either ${\\mathbf R}$ or ${\\mathbf Q}$, but I urge you to not 'magically' alter these until you get output that you like. Always think about the physical implications of these assignments, and vary ${\\mathbf R}$ and/or ${\\mathbf Q}$ based on your knowledge of the system you are filtering. Back that up with extensive simulations and/or trial runs of real data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Detailed Examination of the Covariance Matrix\n", "\n", "Let's start by revisiting plotting a track. I've hard coded the data and noise in `zs_var_275` to avoid being at the mercy of the random number generator, which might generate data that does not illustrate what I want to talk about. I will start with `P=500`." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import kf_book.mkf_internal as mkf_internal\n", "\n", "var = 27.5\n", "data = mkf_internal.zs_var_275()\n", "run(track=trk, zs=zs, R=var, Q=.02, P=500., plot_P=True, \n", " title='$P=500\\, m^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the output we see a very large spike in the filter output at the beginning. We set $\\text{P}=500\\, \\mathbf{I}_2$ (this is shorthand notation for a 2x2 diagonal matrix with 500 in the diagonal). We now have enough information to understand what this means, and how the Kalman filter treats it. The 500 in the upper left hand corner corresponds to $\\sigma^2_x$; therefore we are saying the standard deviation of `x` is $\\sqrt{500}$, or roughly 22.36 m. Roughly 99% of the samples occur withing $3\\sigma$, therefore $\\sigma^2_x=500$ is telling the Kalman filter that the prediction (the prior) could be up to 67 meters off. That is a large error, so when the measurement spikes the Kalman filter distrusts its own estimate and jumps wildly to try to incorporate the measurement. Then, as the filter evolves $\\mathbf P$ quickly converges to a more realistic value.\n", "\n", "Let's look at the math behind this. The equation for the Kalman gain is\n", "\n", "$$\\mathbf K = \\mathbf{\\bar P} \\mathbf H^\\mathsf T\\mathbf{S}^{-1} \\approx \\frac{\\mathbf{\\bar P}\\mathbf H^\\mathsf T}{\\mathbf{S}} \n", "\\approx \\frac{\\mathsf{uncertainty}_\\mathsf{prediction}}{\\mathsf{uncertainty}_\\mathsf{measurement}}\\mathbf H^\\mathsf T\n", "$$\n", "\n", "It is a ratio of the uncertainty of the prediction vs measurement. Here the uncertainty in the prediction is large, so $\\mathbf K$ is large (near 1 if this was a scalar). $\\mathbf K$ is multiplied by the residual $\\textbf{y} = \\mathbf z - \\mathbf{H \\bar x}$, which is the measurement minus the prediction, so a large $\\mathbf K$ favors the measurement. Therefore if $\\mathbf P$ is large relative to the sensor uncertainty $\\mathbf R$ the filter will form most of the estimate from the measurement. \n", "\n", "\n", "Now let us see the effect of a smaller initial value of $\\mathbf P = 1.0\\, \\mathbf{I}_2$." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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79+5MmTIFjUbD999/z9atWwFwd3fn8uXLWFrefcbF0MtpvL3uFGFxGQC0rO3EB0Oa0LC6Q/m9kBIuJmXz2Jf/kFOgY3rf+rzY3e+2+0igZkISqInKEBoaakgj3KxZs8pujngESJ8TpiT9TZia9LmKt2nTJoKCggDo2rUru3btMlwvK4pCUFAQmzdvBmDZsmWMHDnyjuvOyCtk3rZwfgu+hKKAg5UZb/RvyIjWtVBX8PpoK49eZvqqk2jUKlZNbk+L2s633L4iYweJPoQQQgghhBB35ejRo4bHL7zwglFgolKpmDJlSpnb3oqiKGwIvULPT/ew+GBRkDa0hRe7pnVjVNvaFR6kAQwPrElQsxro9Aqv/n6CzLzCCj/mzchYsBBVgIODA1qtVqZnCJORPidMSfqbMDXpcxWv5KQ8lap0AFUycLuTCXxJWfm8tuIE/0QmAeDrbsv/Bjemg59bObT2zqlUKv73eGNCLqUSk5LD7PWn+fyp5iZtQzHpvUJUAXXq1KnsJohHjPQ5YUrS34SpSZ+reIGBgYbH3333HcOHDzea+rhw4cIyty1LXFouYxYd4mJSNhZmal7q7sfzXX2xNKuchagdrc35cmRznvwumLXH4+hSz40hLWqavB1yj9oN5B41IYQQQgghbk2r1VKnTh1DWv4+ffoYJRPZuHEjAK6ursTGxmJlVXa6+/MJWYz98RBX0/PwcrLm12fa4OdhZ7LXcStf7ozks+0R2FmasfmVTni72pbaRpKJmJAEakIIIYQQQtzepk2bGDx4MHq9/qbbLF++nBEjRpRZdio2nXE/HyYluwA/Dzt+e7YN1R1vvXC1Ken0CiO/D+ZwdArNajmxanJ7zDXGMYEkExFCCCGEEEJUKQMHDmTt2rV4epZedNrNzY3ff//9pkFacFQyI38IJiW7gKY1Hfnj+fZVKkgD0KhVfD6iOQ5WZoReTuPz7REmPb6MqN1ARtREZYiKijLc9Ozr61vZzRGPAOlzwpSkvwlTkz5nWgUFBWzYsIEjR46gKAotW7ZkyJAhN107befZa0xZGkK+Vk87Xxd+eLoV9lbmJm61sczMTOzt7css+/PUVaYsDUGlgqXPtaVD3esJTioydpBkIkJUAZmZmYb1XkTFy8nJYfny5ezcuZPc3Fz8/PyYMGECjRo1quymmYz0OWFK0t+EqUmfMy0LCwuGDx/O8OHDb7vt+hNxvP5HKFq9Qq+GHnw9qiVW5qZLGlIyG+jWrX/i7e1Bw4Y1ycuLwdKyORYWFqX2GdCkOiNa1+L3I5f5z4pQtrzaGWfb0tuVNxkmEkI8UrZv3463tzfPPfccy5cvZ926dcybN4+AgAAmTJhAfn5+ZTdRCCGEMKkLFy7wn//8h3r16lGtWjUCAwP5/PPPSU9PL9fj/HYwmqkrTqDVKwxp4cW3YwIrNEjT6/UkJSUZ/rafOHGYFSsWATHAWVxckrC2vgrE4e6uKTNIKzY7qBG+7rbEZ+QxY/XJO1py4H7J1McbyNRHURl0Op3hsUZTOaloHwXBwcF07dqVgoKCm24zevRolixZYsJWVQ7pc8KUpL8JU5M+d+eWL1/OuHHjKCwsvbBzzZo12bp1KwEBAfd1DEVR+HrXeT799x6v8R18mD2wUYUsYB0XF0dhYSE+PrXIzU3it98W07NnS+rWdSM5OYnU1Ezq1q1Z5tpvcOtlBMLi0hm64AAFOj3/fbwxY9t5SzIRIR52Go3G8E9UnJkzZxqCtD59+rBv3z4uXrzIJ598grV10Q3MS5cu5ciRI5XZTJOQPidMSfqbMDXpc3dm//79jB071hCkmZmZ4eXlZSiPjY2lb9++9zWypigKH2w+awjSXunpz7tB9x+kFWeaTEpKYtu2rWi1GUASERF7OXduG3ACa+tYhgxpgY+PPaDF1dUJP79aNwnSbq+xlyMz+tUH4H+bzhBxLfM2e9wfCdSEEI+EiIgI9u7dC0C9evXYtGkTHTt2xMfHh2nTpjFv3jzDtosWLaqsZgohRLnJy8sjMTGxzJESIQA+/PBDw+jjuHHjiI+PJzY2ltOnT9OiRQugaITq559/vqf6tTo9M1adZNG+iwC8M7AR/+ld764DpZycHOLj4//9SeGPP34jNPRv4BIazXl0ugjy8kKBS3TpUpd+/VoZ9nV3dy7XgP2ZjnXoWs+dfK2eV5YfJ19786UJ7pcEakKIR8LZs2cNj5966qlSN5iPGTOmzG2FEOJBs3v3boKCgrC1tcXDwwN7e3vGjBlDaGhoZTdNVCFJSUls2bIFgNq1a7No0SJcXV0BaNSoEb/99pth25KP71S+VsdLy46z8lgsahV8Mrwpz3aqc0f75uXlceTIETIy0oBszp49wF9/LQPOAsdp2tQGLy8dkISzszkDBnTEzs4GqPiprmq1inlPNMPNzoJz8Zl8saPiUvZLoCZEFZCamkpycjKpqamV3ZSHVskbhMt6n0s+9yhkCauMPpeRkcGCBQt44oknGDRoENOnT5eg+BEh5zjT+eyzz+jRowebNm0yTA3Lz89n6dKltG7dmjVr1lRyC01D+tztXblyxZAQo3v37oZMiMUCAgIM0yDj4uLuqu7sfC3P/nKUrafjsdCoWTA6kCda1TLaJisriwsXLhh+3rt3N/v3bwcSUasvEx6+i8zMYOAcjRpZM2xYGyAHUGjQwAcPD5e7fckGWq2WhISUe97f3d6SeU80A2DFkcv3XM/tSKAmRBUQExPDxYsXiYmJqeymPLRat25tCNZ+++03YmNjDWWKojBnzhzDz507dzZ5+0zN1H1u3bp11KpVixdffJFVq1axceNG5s2bR6NGjZg4caJMzapgiYmJbNy4kdWrV1dKcCznONPYsWMHr7/+uuFnLy8v+vXrh4tL0QVtYWEho0aNIjIysrKaaDLS527P0dHR8Lis80JSUhLXrl0DwMHB4Y7rTcspYPSiQ+w7n4SlLod5A2vTr7EnWq2WtWtXcunSGSCZ+PgT7Nz5OwUFocAJPDxS8PDIAmKwsMhgzJheeHm5A2BtbYWt7f0vhp2WlknXrpNwcOjKhAnv3Vdd3ep73PEI4b2SQE0I8Uhwc3NjxIgRAKSnp9OiRQvefvttFixYQM+ePfnuu++AotG0iRMnVmZTHzo7d+5k+PDhZGRklFm+aNEinn/+eRO36tEQHx/PmDFj8PLyYtCgQQwfPpxGjRrRsWNH9u/fX9nNE+Ws5L22b775JtHR0WzZsoXY2FhGjhwJFI2uff3115XVRFGF1K5dm6ZNmwJw+PBhfvnlF0NZYWEhr7/+OlqtFoBBgwbdtJ6CggJD+vtTERfp9uJHHI9OwtFaw39a5kDifuAsZman8PDIwMoqFojGx8ecCRN6YWGhBXQ0aOCDv3/t+35d+fkFHDx4ks8/X8quXcbJwRwd7ThzJorc3HyCg8PuO8X+jH71qVet7EWyy4Ok57+BpOcXlSEpKQm9Xo9arcbNze32O4h7cu3aNTp06EBUVNRNt/n222+ZPHmyCVtVOUzV5xRFITAwkOPHjwPw+OOP8/bbb+Ph4cHvv//O7NmzDX/gT548SZMmTSqsLY+aq1ev0rFjRy5evFhmubm5OevXr6d///4V3hY5x1W8zMxMw6iHj48PFy5cMLp2SU1NpXr16uTn51O9enWuXLlSWU01Celzd+aXX35hwoQJhp9bt25No0aN2LVrF5cvF03ps7Cw4MyZM9StWxcoem/T0tLw86sL5PPLL4uo18iXsDxXFmyLIT46ipr+DVg6uRreTnrMzDSlplWWF61Wi6KAufn1+v/55zhduhR94frss4NZtOgdo32Cgl7j9Oko2rVrzHffvYW9vW2J0lun5y/LhYRM3CyNE4qUV+wggdoNJFAT4uEWHx/Pyy+/zJo1awz3bwD4+voyZ84cnnzyyUps3cPn+PHjtGzZEoDmzZtz7Ngxo/PpZ599Zpiq9eqrrzJ//vxKaefDaNiwYYb7kZydnRk7diwuLi6sWLHCMM3JxcWFmJgYbG1tb1WVeADExMTg7e0NwNChQ1m9enWpbZo0aUJYWBiWlpbk5eWZuomiClIUhRdeeMEwq+RGGo2GRYsW4elZjXbtmuHkZMGxY4eIjAxnxIjupGRrmb8umjWn1WTprQDwddPwywRnartWTHAGsGHDHj788GdCQyP5/fcPGDy4m6EsJycPR8euaLU6AgJ8CQv7w2jf/PwCLC1vtrD13QdqFRk7VNw7KIQQVZCnpycrV67k8uXL7Nmzh9zcXPz8/Ojatat8IVMBSt73MGLEiFLv8ahRowyBmiQWKT8xMTGsW7cOAHd3d44fP25ICvD2228zaNAgtmzZQkpKCsuWLZPpvg8BV1dX1Go1er2e4OBgCgsLjRIjJSQkEB4eDoCHh0dlNVNUMSqVim+//ZaWLVvy+eefc+7cOVQqsLCATp0C+eijt2jSpC47d+5Fq7UAnGje3J0afu68vzGN5YdzyS0syrbo665hcldbHm9ujYXZ/S9kffr0BQ4cOElIyDnmz3/dKLgqLNRy6FAYAMeOnTMK1GxsrHjrrWeoUcONdu1Kz9K4eZBW9UigJoR4JNWqVcsoJb+oGCWzbSYnJ5cqL/mcpaWlSdr0KNi7d69hxHjSpElGC9iamZkxa9YsQ1ruXbt2SaBWBYWHh/Pzzz9z/vx5rK2t6d27N08++SRWVlZlbm9ra0tQUBDr16/nypUrvPLKK8ybNw9bW1uSk5N55plnDEl7iu9XE48uvV7P4cOH8fGpjaenAz16NENRxtKvXwsKCzPIzdXh7u6Kp6cboKV//w4ARCVq+W5PNmuO51JYtPwajb3MeLGbHX0CLNHc5SLWOTl5XLgQS1JSGt27tzIq++ijX/nttz+BoimMrVo1MpS1bNkAAH//2tjb25Sq9733Ho77niVQE0IIUWE6dOiARqNBp9Px008/8dprr1G9enXg0cy2aSq5ubmGx8Xvd0k1atQwPJYpcFVLQUEBL7zwAj/99JPR80uWLGH69OksX76cHj16lLnv9OnT2bhxI3q9noULF7J06VLq16/PqVOnDPeC2tnZ8eKLL1b46xCVT1EU0tPTcXBwQK1Wc+zYYRITY+nXryNqdQ5Xrx7CzS0eqIW3N4wb1w0rK0ug9IhrWFwh3/6dzZ9heRTfNNW2jjkvdrejs7/FLRewzs7O5fz5y1hYmNOwoXGWxIYNhxMTE4+LiyPJyTuNylq2bGAI1EJCzhkFaj4+NUhL+xtHR7t7e3MeEBKoCVEFhIaGGqapNGvWrLKbIx4BpupzNWrUYOjQoaxcuZLk5GSaNWvGxIkT8fDwYMWKFRw8eBAAa2troxvaxf3x9/c3PF65ciVTpkwxupBauXKl4bGfn1+Ft0fOcXdGURSeeeYZli5dWmZ5QkICAwYM4J9//qF169alyjt27MiiRYuYOHEiOp2OzMxMjh49aii3tbVl7dq11K59/5n1qrpHtc8Vj8B6eXmSmHiJdevWMGRIN9zdrXF1vYalZSFQtDzNkCGdDPuZm5sZJeQodvhiAd/szmJPRIHhuZ4NLJnS3ZZA7+szJhRFISYmHldXR8PC0wBnz16kUaMnABg7dgCLF79vVL+fXy1iYuJJSUknJSUdF5frSwb07duezz//Dy1bNjCMoBVTqVT3HKRptVoKCrTY2FiRmZnN+vUHCQxsSWJiFlptOk2aNMHd3f2e6i5vckOGEEKICjV//nxDkoPExEQ+/PBDpk6dagjSVCoV33//vWRmK0ddunQxZGjbs2cPkyZN4sKFC6SmpvLVV18xe/Zsw7bPPPNMZTVT3ODIkSOGIM3Kyoq5c+cSGRnJ33//Tc+ePYGi9PozZ868aR0TJkzg2LFjTJgwwbBOloeHB1OnTuXUqVP06tWr4l+IqDCKopCWlkZBQVHgdP58JOvW/QGkAlc4c2Ynly//DZzA1TWJgQMb4+ysA/Lw8alB48a3/2JGURR2n8tn+LfJPPldCnsiClCrYHBzK7ZOdeXH8c5GQdqPP67Dza0XPj5B7Nhx2Kgub+/rI/rnz8dyo7592zF27IAypyo2bFiHqVNH0aVLS6Pg727l5hZNryxixrZtJ9m37zJQj6SkGixevJOmTQfQtetQevbsSQ+MRFIAACAASURBVI0aNRgxYgTR0dH3fMzyIlkfbyBZH0VliIyMRKvVYmZmZvRNuBAVxdR9Li4ujpdffpn169cbZdts0KABH3/8MUFBQRXehkfN6tWrGT58+C23eeaZZ/jxxx8rvC1yjrszEydOZNGiRQB88803TJkyxVBWUFBAw4YNDcuLnD9/3hCM30pxivpHzcPU5yIjI9Hr9dSv70teXiqLFy+mZ8/W1K3rwdWrMVy6dJU2bQJQq9UoinLLaYi3kpGn58+Tefx6MIezV4vWT7PQwPBW1tQtCOPEvv2cPHmev/762ighx6pVO3jiiTcAmD17Yqmg6/HHX8fJyZ6WLRvwyisj7vFduDvHj5+jWjU3atTw5vLldLZsOcCoUU9jZ+dKQkICZmZmJCUl0aVLF8Oi3jdyd3dn7969NGjQoMzyYhUZO0igdgMJ1IQQouJcvnyZf/75h/z8fOrVq0eHDh3u+aJC3N4PP/zASy+9ZPj2vaSxY8eyaNEio4QvonJ16tTJsBB5ZmYmdnbGU7vefvttPvzwQwA2bNggX3A8RPLz81EUBSsrK2Jiotm9+y9GjQrC3FzLvn3/oNfn0aVL0RTO+PgkXFwcsbAwv02tt6fVKfwTWcDqkFy2n8kjvyg+w9ZCxeh21jzbyZZqDhqefnq24X6xo0d/IzCwoaGOCxdi6djxWVq2rM+oUf0YM2bAfbfrThQWalGrVWg0GsLDo7l0KYk+fXoDtqxfv5u6dRvRuHFTdDodWq3WKGGVoii0bduWI0eKFsR2cXFhxIgRqFQqfv/9d0Oiq5YtW3L06NFb/p2S9PxCCCEeCrVq1WLUqFGV3YxHxsSJExk4cCA//vgje/fuNYzKPPfccwQG3v16QaJilVwUOD09vVSglpaWZnhcMvW+ePBkZmaSlpZGrVq1gAJ+/30RTZrUoWXLOjg7J9GkiS2Kcgkwp1On+kb7FmVivHeKonD6SiFrj+ex/kQeSVnXZzkUJF1CE3OY/etexMnmeqDRokV9Q6B29uxFo0DN19eL+Pht99WmO3HtWjKKouDp6UZmppbly3cwYEB/atb0w8rKCTu7a4AvAIMHXx+502g0aDQao7oOHTpkCNL8/f0JDg7GxcUFgP/+97+0b9+e8PBwQkJCOHDgAB07dqzw11cWCdSEEEKIh1j16tWZNWtWZTdD3IFOnTqxZ88eAObOnctXX31lKIuLizPcv2ZhYVFmMhFRdeXn53P69Gn8/HxxcDAjMjKYU6dOMG5cX6CQXr18/02OkYO9vU2p5BnlITQigdfm7ycab/QO1zO/utqqGdTcir+++5wDmzcWtTdzFNi4GrYZNqwnzZrVo3nzekYJP4AKmxWRmJjKqVPn6d69IyqVLcePRwCW9OvXCzs7Nd26OePiUhOwwdvbAW/v208FLrZt2/XAcvr06YYgDcDZ2ZkZM2bw7LPPAvDXX39JoCaEEEII8SibNGkSH330EVqtlq+//prw8HCGDx9ObGwsCxcuJD09HShaB83V1fU2tYnKUPKewBMnTqDT5RMYWA+1Oo2wsL9wc2uCg4MnAQF2NGnSBSha287Lq3wWIc/MzCYk5BwhIefo0aM1/g39+Ot0PqtDctl/Xo/eoX3RhrpCHmtuz9CWVnSpZ4m5RoVTVD3qewTRsmWDUtMqa9f2pHZtz3JpY0kJCSnk5BQlOgEVf/yxm8aNm9CoUTN0OkeysrLIy/PD2tqabt1q/Dt9UYVKBfXq1bvn4+bk5Bge+/j4lCov+Vx2dvY9H+d+SaAmRBUQExNjuOn5UUibLCqf9DlhStLf7kzt2rX57LPPeOWVVwDYvn0727dvN9qmTp06fPTRR5XRvAeKqfpcTEwMDg4OODk5cfnyBbZt+5MxY4KwstKjKBEoSj5ghrk5PP10b8N+JZNx3Iv8/IJ/U9/7GgVVW7Yc4Kmn3sKydmO6JNcjTp1IdsH1dBSqpPOkhGyjoV0yX3/8jdFo2KuvVsxC6DEx8djaWuHq6kRiYjrbtx8lKKgv9vauXLhwjbi4NHx8+gLm1K+vwc2tOuCBp2c1Bg26nqXyZou93wtfX1/D43Xr1tG7d2+j8nXr1hke16ljvPabKUkykRtIMhFRGR7V9V5E5ZE+J0xJ+tvdWbp0KW+99RYxMTGG59RqNYMGDWLBggVlLmIujJVnnysoKMDMzAy1Wk1ERAQJCVfp1CkQyGXJkqU0aFCTVq38yMnJJjr6Cn5+tcol0QdQZhbHmTO/5NNPl6LT6Th+fCnNm1+/h239P9FMWZKKufP1PlLbRcPQltYMaWGFLj2eGjXc/13Yunzo9XpSUjJwcrLDzMyM06cvEh2dyGOP9QGsWLHiT7y9fWnXrjM5OVrCwsIICAjA1tbWEEybWmpqKl5eXuTm5qJWq5k7dy6TJ09GpVLx3XffMXPmTHQ6HZaWlsTFxd1yBFuSiQghhBBCPCJGjx7NiBEj2LVrFxcuXPh32lc3w3qEomJdvnwZc3NzPD2rkZJylVWrVvD44z3w8LAFwtHr44GiRC/Dh7f5N+jRYWNjRaNGvreq+o5NmzaffftOkJ6exdmzq4zKXF0d0el0AJw6dd4QqB2JLuCtHdaYO1thqdbS3VfhuV7VCPQ2vx7sudYsl/ZFRsZgZqahTh0fMjN1rFlzlAEDHqNmTX8cHDzw9EwAiu4ZGzJknCG7rI2NBW3atDHUUxlBGhTdhzZ9+nTef/999Ho9M2bMYMaMGaW2mzZtWqVOM5YRtRvIiJqoDMVpeVUqlVH6WCEqivQ5YUrS34Sp3U2fi4+P59y5s3Tr1g7IZuPGDdjba+jWrQk6nZaoqDhq1apWrqNQAMnJaQQHh2FubkafPu2Myrp0mcg//xwHICVlF87ODoayHTsOMW3aFzRpUpdnnx1Mt26t2BeZz8TFaeQWKrStY86icc7YW93ftWt+fgEqlQoLC3NiYuI5ejSCIUOCUKls2b79ENbWTnTq1A1FUUhISMDV1bXSAq97odfree211/jyyy/LLH/ppZf44osvbhsDyDpqd2DRokVMnDgRW1tbsrKyjMpCQkKYMWMGwcHBmJmZ0aNHD+bNm2c0P7WYBGqVQ6vVsmfPHuLi4nB0dKR79+44ODjcfkchhBBCVDk6vcLWsHiupudiYabGXFP8T4VF8WOz6z+X3MZCo8bcTIW9lTl2luVz4a/T6cjNzcXOzg6dTseaNX/QokU9/PyqERt7gRMnTtCnT1ssLMwpLNRibl6xAUdiYioeHkX3RXXp0pI9e743Kn/xxY9YsGAldep4sXHjZwQE3Dyj4Y4zeUxZlkaBFrrWs2DhGGesLe4+E2PJxB56vQU//bSZDh060KhRC5KSsjl37jxt2rR56NZePH78ON9//z1Hjx4FIDAwkEmTJtGyZcs72l8CtduIi4szzHVNT083CtTOnTtHmzZtaN68OW+88QZ5eXnMnj2b1NRUTpw4gbu7u1FdEqiZlqIoLFy4kA8++IC4uDjD87a2tjz33HPMmTMHa2vrSmyhEEIIIe6Goii8tfYUyw9fvq96LMzU/G9wY55sXeuu983PzycmJgYfHx/MzVXs3fsXSUlXGTq0K5DN0aMnqV3bEw8Pl9vWdbfi03XsiciniVMGfyxdz8GDpxg+vCcTJw4x2s7XdzAXL8ZhbW1Jevoeo+AwMTEVKysL7O1tb3msTSdzmfp7Olo99A2w5MuRTlia3TpIK85MmZaWyeHDp+nUqR02Nq4cPHiaq1fTGDp0JKAmJiYGV1dXbG1v3YZHndyjdhuTJ0+mS5cuuLi4sGqV8Tze2bNnY2lpyaZNmwwjNIGBgfj7+zNv3jzJnFTJZs2axYcffljq+ezsbL744gtCQ0PZunWrTJURQgghHgCKojB3yzmWH76MWgX9GxcltSjQ6SnQ6inUFf0r0CkUlvi5UKdQUPxYqzds/+baU7jbW9K9Qdnp64sThgAEBwfj5GRLgwbe5ORcYffu1Qwe3JFq1exp3NgKnc4bKFrioFWrRuXyenU6HVFRcZw6dZ62bRuTY+bC6EUpJGTqcbPRc/rXI+RFn8DJyb5UoDZ+/EDS0jJp374per3eqMzd3fm2x155NIeZqzPQK/B4cyvmPeGImcY4SMvLyyc1NZPq1d0AFevXH6BaNS/ateuImZlCYWEmBQV1sbFxonXrmkZTFyVDa+V74EfUlixZwpQpUzhz5gyzZs1i1apVhhE1rVaLg4MDTz/9NAsXLjTar2/fvly8eJGIiAij52VEzXQOHTpEu3bX52QPHDiQXr16cebMGX799Vfy8/OBokU/Z86cWVnNNImMjAzDXHqZ8ilMQfqcMCXpb4+Ob3af55Nt4QB8PKzpPY2GQVHAN33VSVYdi8XGQsOKSe1pVN2OS5cu4eHhgZ2dLWFhxzh6NJhx4wajUuVx4MABHB2tCQioS2ZmJgUFWiwtzbGzsyuX15acnIarq5PRc598spgZM4rucZqz8GNWXAsgNUdBrQL9v1fYmce34JN+gGPBP5RLOwB+O5jDO+szABjZxpr/Pe6ARq1Cq9Vy4kQEvr41cXHx5PTpWA4eDOOZZ55Drbbl/PkobG1tJXNoOZIRtZtISEhg6tSpzJ07l5o1S2exuXDhArm5uTRt2rRUWdOmTdm+fTt5eXm3XZfh9OnTeHt7G/1xyc/P59y5c0BR5pgbv3WIjIw0LKZ3Y1rYpKQkwzS/2rVr4+x8/VsTnU5HWFgYUPQh33gf3cWLF8nIKPrFDAgIMPrmIy0tjUuXLgFQo0aNUtM6T548iaIoWFtbl1ok8PLly6SkpABQv359o/ckKyuLCxcuAODh4VHql/vMmTOGb7QaNTL+hurq1askJCQAULduXaOT5RdffGF4PHPmTObOnWv4efz48XTs2BFFUfjiiy+YNm0aGo3GUJ6YmMiVK1cA8Pb2xsnp+olTq9Vy+vRpABwcHEqtfxEVFWX4hWrcuLFRvampqYZ0yF5eXri5uRntGxoaCoCNjQ3+/v5GZTExMaSmpgLQoEEDo1HAjIwMLl68CEC1atXw9DReNLL4CwOVSkVgYKBR2ZUrV0hMTATAz8/PaApCTk4OkZGRALi6upb6PQgPDycvLw+NRkPjxo2NyhISErh69SpQtLCjo6OjoaygoICzZ88C4OjoWGoxyAsXLhi+EGnSpInRySg5OZnY2FgAatasaZQtSa/Xc+rUKQDs7OyoW9d4zn10dLRhQdeGDRsazYNPT08nOjoagOrVq+PhYfztalhYGDqdDisrK+rXr29UFhsbS3JyMgD+/v7Y2NgYyrKzszl//jwA7u7u1KhRw2jfc+fOkZ+fj5mZGQEBAUZl8fHxXLt2DShaZ+VBOkfo9Xp0Op1R6uqqdo7Iy8sjPLzogs/FxYVatYwv+CIiIsjNzUWlUpU6zz9s54jTp0+j1WqxtLSkQYMGRmUPwjni4sWLhj5Qs2ZNOUdQ9c8R93IdsfRQDAuPpgEw67GGhiDtbs8ROp0OjUbDnKFNOHn8GKcuZTB2kZ6l42tzYOdGunVrjr9/Ndzdk/HyKiQ8fC9OTk506HC9D1+9ehWtVguAubl5qd/H1NRUw+9N9erVsbe3N5RptVqioqKAolsxPv98JUuXbiE+PpmUlF1kZ2cYPpviLI+WXo1YFOWHVqVQ303HOz1y2HjeiRUhOuxb9MfK6TEOnM/HTV/0/lpZWZX6zK9ejSczs+iz8fHxMerfWVlZhnPaurO2fLktFY29K890sqWn8yV+WxxHmzatUattiYjQ4upaGxeXutStWwcLCx9OnSp6PVX1HPEgX0eUXDy7vD3QgdqUKVOoX78+L7zwQpnlxW+oi0vp+ccuLi4oikJqauptv1XQarXcOPCoKAqFhYWG8rL2KS6/kV6vN5TdONQN3HG9N7apZL3FaVtvrFdRFMMUgZJ0Ot191Xuz11qy3htf6z///AOAtbU148ePNypr3749bdu2JTg4mKtXrxIdHW30y3ireqviZ1OyTWW9hyW3u9GtPpvb1Vv82ZRVdqt6i/e9Xb1ludP3sKz9S7bpRrd7rQUFBej1eqOL6rLqvdf38H4+m6rSD0vWW9Y3fVXtHHG7z6b4td64xtDd1FtVPps76YdarbbMz03OERjaKOeI6226k3rL8zrir3MpfPdvkDa5sw/Pdb4eIN6u3sTERBRFwdnZmdjYi2zdupHRox/D2lrPy53zeW+zlqQ8hZdWxvD7c12o5mwFKDg62uHl5YZery/zfSj5mm+k0+kMz2u1WpYt28rhw0Vf4HzyyauGsqIkJPnExxddU546dR5vb1dDebNm/vQcPZ6LNR9HixmBtVS82SkdG3OY2UvD4EAHZqzKIDZVx6hFqQysb8EzLXMwNy/rd05rqFdRFMO9ZADBwadRlEJ2JXjz2/5UcqOO8tqkkbw9sDUXL3qTnHyKnBwXLC0tGTVqgqFOKysrrKysDMGLnCMq5hxRUR7YQG316tVs3LiR48ePl/lHuqRbld9uXyha4+HG7VQqleFEVVYqUjMzszJPZFB0gVRcVtYf3Tut98Y2lay3rE5mbm6Ooihl1qvRaO6r3pL/36zeG19rQUEBUPRtVclvJoqV/AaleBrkndRbFT+bkm262Xuo0+nu+rO503rLKrtVvcX73qre+30Pb9dfbnS712phYWEYIbpVvffyHur1+vv6bKpKPyxZr62tLdbW1kavuaqdI2732RS/1rL678N4jii5TUkPwjmiWrVqhuPIOaJ0vVWlH97rdcSuc9f4cHcsCvCYvy2v9jAexbux3vj4eBISEmjatBGQw9GjO/DycqJWLV9cXDzo0KE6Gk0iYE67Vr586ZnKK5v0XExW89KKbH571hIrcxUqlcrQlhvfBxcXF1JT09DptEavJT4+iby8AhwdrQ37ajQapk2bz9WrSTg62vHxxy8blTVt6oerqyNNm/qjUqnQaDSG8pMp9sR4D0eng271LfhokIb0ZLN/3181HepasnWqK3P+zGTpoVw2hVtx7IoFb/XUUXIwv2jR6Ew0GjA3NyMk5CKxsak88cQwwJr09Eg2RBSyJ90cjZ0zb770DK8/1hyVSoWvry+5ublotdoH9hxR0oN4jqgoD+Q9allZWfj5+TFmzBhmzZpleH7KlCls2LCB2NhYzM3NiY2NpUGDBnzzzTdMmTLFqI7p06fz6aefkpOTYzSFR+5RM50uXboYRtV2795Nt27dDGVpaWn4+PiQnp6OlZUViYmJ5TbHXAghhBDlIzgqmXE/HSZfq2dICy8+faIZarXKMCpiaWlJTk4Ou3btoG3bJri72xAWdpxz584wfHhXANLSMrGzsy4zsCwWHl/I8IUpZOYpPNbUiq9GOKJW3/kF8vnzl+nRYzKXL1/j6acf49df3zMqf/zx11m/fg8A77wzhIKCTKytrWnfvj1dunTB0tKy1AX52uO5TFuZjk4PA5pYMv8pJyxukXHxn8h8Zq5K50q6HpUKhvpnMbmrLf51a5KRofD77zvo3/8xatWqT0JCMhkZGfj5+aHXK7yzPoylh4qmXb8b1IgJHevc9DjCtCQ9/w2io6NL3VNwo8GDB7Nq1SocHBwYN24c3377rVF5v379iIqKkmQilWjx4sWMGzcOAE9PTz799FN69+7N6dOneeONNzh06BBQdL/azz//XJlNFaLcXb58mWvXruHi4kKdOnUq9Bs5IYQob4qisPdUFC/8fpocvYYO1dWMa2hGn97dUKkK+fPPTZiZQZ8+bdDrs9i1ay/NmtW7o2yGN3PgQj7jfkqlUAeTutjw1gDjxDSRkTGsXLmD0NBIxo8fSP/+HQ1l+fkF2Nt3obBQS4MGPpw9a5wlfNeuw/z44y+EhR3mxnixWjUP5s6da3Qv7G/BObyzruh+suGB1swd6lAq4+KNkpLSCD4Wwd70BvwRkkPuxRCqO9nw41vPEOjtTFJSEi4uLkbXnFqdnhmrTrLmeBwqFcwd2oSnWks2xqpEArUb5OXlERwcXOr5uXPnsmfPHrZs2YKbmxuNGzfmqaee4u+//+b8+fOGG0VjYmLw9/fntddeM0pgARKomVJBQQGdOnXiyJEjN93G2dmZI0eOlLpZVIgH1aZNm5gzZw4HDhwwPNe8eXOmT5/OyJEjJWATQlQZxQksihOHHD4cjFabR4cOgYRfTaHX85+irxZA59b+fNBHz9mw0/Tt2w5zczPi45NQq9Xlvk7ZysMZTF9TlLzhrb5WTOp+PVHQ5s37GDhwKgAzZ45j7tyXjfbt2fMF9Ho9bds2Zs6clwznW0VRmDlzJjt37rrpca2trfj551/w9/dj4Z4s5m4pSoQxvoMNswfaG43u5eXlY2Vl+W+b9lO3rj8NGjTj2rVsgoPD6N27L4cuZzFz5XESsrSoVTCxsy+v9a6Hlfn1KXkFWj1TVxznz1PxaNQqPnuyGYObe93P2ycqgARqd2j8+PFG6fmhKBtT69atadmypdGC1ykpKbLgdRWQlJTE0KFDDVMgS6pZsyZr166lVatWldAyIcrfZ599xuuvv37T8hkzZsjajkIIk8rJySE3NxdXV1cURWHTpvUEBPjh61ud6OhI/vprJ2PHPoa1tZozZ8LR6fQ4efnwxMIU4uJTaebrwO8vVMPOsvyvk1JTM3B2Nh41mzz5Q5aHanDuOg4VCgvHOtM3oOgWlsuX46ldeyAAjz3WiU2b5t/RcY4dO8akSc8DRck3Jk9+nq5du3LlyhV++OEHTpwoyubaqXMnavX/L1/vzgbgpe62vNTVgqioOHx8amBjY8vhw5FcuBDPyJEjADsOHz5J9eo1SmWtBUjPKeS9TadZE1KUwdPPw45Pn2hGs1pO5BXqeGHJMXaHJ2KhUfP1qBb0CfAsVYeofBKo3aGyAjUo+gWcOXMmBw8exMzMjB49ejBv3rwyR2kkUDM9RVHYs2cPS5YsIS4uDgcHBwYNGsTw4cMfmYWuT58+bUhNfGN6Z/FwuHHdwICAADp37szRo0c5evSo4fkNGzYQFBRU4e2RPidMSfpb5dLpdOh0OiwsLEhLSyMkJIQOHVpjZQV79+4mMfEKw4b1APLYv/8IXl7uREScJjQ0FK1WR/369ejTpw92dnYkZOp4cmEK0ck6/D3MWPG8Cy625XuNNGHCe2zbdpC8vAKSk3cazTRYsGAlL774ES59XsS+RX8szWD5JBda1rZAURRWrPiLJk38MDPTAUWJT243K2fWrFls2bIVgHffnc2gQYMMZXl5eQwePJj4a8nkN5pEXu1B5MWe4Zmubnw4sRs5OQrLlm2mX7/HqFnTl5SUFLKysu5qsejtZ67x5ppTJGXlo1GreL6LLycup3HgQjJW5mq+G9uKrvXcb1+RqBQSqJmQBGqiMoSGhhouYm5cL0c8HEaNGsXy5csBeOONN/jwww8NFx/z58/ntddeA6B79+7s2nXz6TflRfqcMCXpb6aVmJhIcnIyDRrUBwpYtmwx9erVolWrBqSlJbB37wG6dWuBg4MdmZnZqFQq7OyKsi/v37+f999/n6SkZKM6bWyseW7Kf1h+rTPn4rXUdNawarILno6ls+fdTmGhlgMHQjly5AyOjnZMnDjEqLxfv5fZtu0gADExm6hV6/pI0okT4Xz22VKaNK3PYctuHInT4GKrYs0Lrvi4Xb+5LCIiAq1Wi5mZWak13240evRozp0LR61WsX//fjQaDadPR1GzpgcuLm68/Mpslu7Pwr7nK6jUGp5rpGJY6zo0bNgQ4KZZEe9GanYB/7fxNOtPXDE8Z2uh4afxrWnr63qLPUVlkwWvhXjIWVpaGqWjFQ+fzZs3A+Dk5MS7775r9A3xK6+8wldffUVUVBS7d+8mJyenzCUrypP0OWFKldXfIiMj+eWXX4iMjMTa2poePXrw5JNPYm1tbdJ2VIS8vDy0Wi12dnZkZWWxfftWOnduhZubDXFxRzl37iwNGuQCejp1qoG9vSWQjJOThkGDOhvqsbe/vvhxcHAwr732Gjpd6bWrsvP0/HePE1onLe72apY+53xHQVpeXj75+YU4Ol7P3FxQUEiPHkX3izVrVq9UoNa6dSOCg08RGNiQrKxco7LmzeuzePH7RW3K1zPi+xROxWkZ93Mqa15wxdWu6OLY3NwClUp9y0ySxeuUaTQacnMhP18hJ8cCR8cahIaewNq6GXYO9Tmg64lNeycURc/kZra8ObKnUT33G6QBONta8MWIFvQL8GTWujD0isLPE9rQvJbT7XcWDy0ZUbuBjKgJIcqboihoNBoURaFFixaEhISU2mbAgAFs2bIFgGvXruHh4WHqZgpRSmZmJt9//z0//vgjERERWFpa0r17d15++WX69OlTZZPfFBYW8vLLL/Pdd9+VKnN3d2fp0qX07t27Elp275KTk7l48SKtWrUE8tiwYQ22tmb07BmIVpvJvn1HaNrUHxcXR6OFku+UXq9n+PDhXLpUlAK+Xbu2jBgxEmtrK9Zt2MyKq60pdG2JqjCTlS+408rPybDftWspODnZYW19fbmjc+eiGTHiLc6cieKttybwf//3vNHxmjR5irCwC2g0GjIy9mBjU3yfWSzLli1j375/yMzMxN3dnf79+zNkyFCcnUsHLQmZOoYuSCE2VUfzWuYsn+iCtUXZ/TIjo+jWGAcHOxIS0tm4MZhhw4bw0Udf8sknC9HpimY8zJkzB4C8Qh3jftjHoZgsFG0hGdvmc2n/BhwcHMqsv7wUaPVo9XpsLGQ85UEgUx9NSAI1IURFqF27NpcvX8bMzIzo6Gi8vK5n7srIyKBWrVpkZGRgY2NDWlqajHSJShcTE0OvXr2IjIwss/zFF1/kq6++qpLB2rPPPstPP/1003JLS0v+/vtvo/tGq4LMzEzy8vJwd3dHp9OxevXvBAY2om5dT6KjIzl48BDDhnXBwsKMpKQ0LCzMcHAonzVGjxw5yuTJkwFo2rQJixYtQqPRkJ6Zw5QlUQD9QQAAIABJREFUqey/pAFtLg4hs3hrUhAjRozgk08WM2vWtxQUFLJt29f06XP9/SyZ2GPAgI5s3vyF0fEWL95EYaGW1q0DCAjwRaPRsH37Dt55ZxaFhdpS7XN2duLLL7+kUaNGpcrOJ2gZ9m0y6bkKvRtZsnCMExq1ipSUdGJjE2jatB5gw6pVf+PhUZMuXXpRUKAmIiKCunXrEhMTQ8OGDSm+JA4KCqJ/0BB+ibLimuKAvjCPxDUfMK5vGxYuXFgu77d4eFRk7CDRhxBCmMDYsWMB0Gq1PPnkk4SHhwNw6dIlRowYQUZG0Xo8I0eOlCBNVDqdTsegQYOMgrTGjRtTrVo1w8/ffPMNX3zxRVm7V6oTJ04YgjRLS0s++OADwsPD+fvvvw2jaPn5+cyYMaNS2qcoClptUSCSmprKrl27KCjIAjI4dmw7+/atAc6i0ZykTh0d9vZJwBV8fGwZObIHFv+Osri5OZVbkKYoCgcPHiU/v+jnwYMH/z975x0eVbX14Xd6eiad9F6AhAQSQu9NuiKgooIdsVwbiuXay/Viw8/GFRUVlKIiKCBKFTS00EJLQiqZ9N4mk6nfHwMDQ5MSAuJ+nydPzsw+e589Z/acfdZZa/+WLQog5f7f+LNQhsVowHXvayjqs2zXL1dXJ/R6AwBHj5bZtenv741KpaRjx3BiY0NPO+bUqWO4++7r6dIlGplMxoEDB/j3v5+zGWlyuZygoECOPweora3j4Yf/RU1NjV07JpOJABcjn03zQCExsuKnLcycX4jF4kVVlRP79jVhNCYAcQwZchM9egwDHFAqlcTHx+Po6EhsbCwvv/YGCp8wnGL7sLnKiVfTmqxGWmszFUteIETZzGuvvdYm51sgOF+ET1UgEAjagYceeoj//e9/VFdXk5aWRlxcHL6+vlRUVNj2cXJyYubMmVewlwKBldWrV7Nvn1WSPDIykuXLlxMfH4/JZGLevHnMmDEDgLfeeosHH3zwqnq4MG/ePNv2m2++yaOPWvNqxcTE0Lt3b+Lj48nOzmbLli1kZWURGxt7WftTXV1NbW0tUVFRgJHFi78mNjaEbt2igXKamjLQ6WQolS507+6LVOoHWPOEde/etgqZBoMRk8lky/EFVgOrU6dJNDe3oFZDeLQjR2od+XprM1uO6DEE98RiNlH582zcVftAgc1TEBUVTJcu0YSEdMDPzz5fmlwup7l5y3mv3/ryyy8xGk0AjBo1kieeeAK1Wk1xcTEvvPACe/fuo66ujm++WUL//kNISIhCKnVg48bd6HQwZsw45twSwN1vHuL7PS103GLi3n49iIk54eVTq9WUNejIK6oit7KJvMpm2/+SxgQC7vrQrk8mbT2V37/EmN5d+Pjjj/H29r6o8y4QXCzCUBMIrgJKSkpsqlEBAQFXujuCy4C/vz9r1qxh9OjRNuPsZCPNzc2NZcuWERcX1y79EWNOcC6OK5SCVZU0Pj4esIom3H///axZs4YVK1ZQUlLC5s2bGTJkyNmaAtp3vB06dMi2PXXqVLsyhULBLbfcwssvvwxY0wa0laFmsViQSCRotVq2bt1Kt26d8PBQcfToTg4dOkBU1DDASGqqF+7uEqAKDw97YQ9n58sjcrJixSZmzfqA3FwNn332PNOmjcFisVDWYCazwQ1l1+tx9A5D5RdOjTqAj7KArBOhXDF1GwnwLKXZmj7MNh6GDu3Bvn2LznBEK+drpDU3N7N582YAvL29ef755zEarYImgYGBDB06gU2b9mEywVdfrcPZuRthYRG4u3uRlOR/LGTRg9FdPHhtxk28tuowb6zOpKyqFpBQ2Solr7KJ/KpmtHrTWfvh7qgg3NsJVWs9Sl0N3SLM3Dhz3QVJ7QsEbYkw1ASCq4DKykqbdLW4ab52SUlJITMzk/nz57No0SLKy8vx9PRk4sSJ3HvvvXZhZZcbMeYE56K8vNy23b9//9PK+/fvz4oVKwD7Bw5noz3H28kqf/X19Xh62nt66uvrbdsX6wk0Go1UV1fbfrPr1q1GLjcycGA3lMoGmpv3YzCYAU8SEjxIShoIWEP6IiODLuqYf8WiRWtYtepP9u/P4fffP0WtdrWVSWVy8qpBFdufbw+78eu8Gg6XGqjVWtdkufW51a4tqa4Sd0slqdFqEv1aOLx5O2n6AhQKcHFxZsSIEW3a94qKKrRaMwoFJCV1Ze9eDTk5ZUyZcivgSHi4HrN5PoWFBVRVVXHnnTNsayNP9XLd3TccTW0LX6YV8MWO8tOOJZdKCPF0IsLHhUgfZyJ8nInwcSHC2xlPZ+VVueZS8M9FGGoCgUDQjnh4ePD444/z+OOPX+muCARn5WTjJj09ncGDB9uVn5yk3cPDo936dT707duXdevWATB79mw+/vhj2813WVkZX3/9NWA10lJTU8+rTYvFwsGDB/H19cXX153CwoOsX7+WqVNH4eBgIiLCcMx7VI5cjp2X7Fzy8BfK9u0HyMg4QlOTlsceszeutmzZyzffWJVjDxzIpU+fRH7ap+OzLc1klkYScPdHAGQB5OoBkEkhykdOpwA5nfwVOLYW8cGrj2BstuZQS/8D0rFn1qxZbZI+5NChPEBCp06dUakCyc8HoxFaW4t4+umhBAZqAes4jIvrSGlpKWAdb+cypiQSCc+P6URlVRV5Na0EuinoHhtiNcZ8nAnxdEIhExINgr8HwlATCK4CoqKibGEzAkF7IMac4FxMmDCB77//HonSkYf/+xnDSpzJKGuhd5QX3aUFLFmyBLAadAMGDPjL9tpzvN1zzz28/vrrGAwG5s6dS05ODpMmTaK0tJS5c+faxCgmTpxo58U2mUzU1NTg4eGBXC4nI2MvZWVFDB/eB4mkhQMH1pKQEIKvbxjBwQYmTuyOStUKSIiIaDsvmV5vIDu7EJlMRseO4XZlEyfOQqMpx93dhUcfnWJ3PhMSogCQy2Vk5lWyqLCeVft1x0oluKgkdPKX0ylAYfsf5SvHQXHydxJHF7+3eOWVV8jPL7A7tre3NzNnPnFBaQ10ulYkEgkqlRKNppwtWw4yadINyOXu1NXVIZU6AR0JCICEhB5s376dw4cz+eqrr3jkkUcAa6qFmTNn0npM6WT8+PF/eVyZVMLsm1JsY87Z2fkv6wgEVyNCnv8UhDy/QCAQCP6pWCwWDpU2sOFQGe98+wsWr3AkMvtnuvU7llG30aqq+OKLL/LSSy9dgZ6em08++YQHHnjgrOUhISFs3bqViooK3NxciYgIpKpKw7Jly7j++oH4+jpTUJBHTU0D3bpZ1422taFpMpkwmcwolSfCL7OzC+nceTJGo4lbbx3JwoWv2tUZPfoRVq/+E4CjR1cSHNzBVlZeXk1ZWTXlsgD+vUJLRaMZuRQeGuzChK4OBHnIkErPr/8Wi4X09F3s35+ByWQiKiqKvn37oVDYjwWDwUhlZS1+fp7IZDKysgqorW2iZ89kQMlXX/1MYmISSUk9qK83kJmZTVJSEiqV6rRj/vDDD0ycONH2Oj4+ni5durB582Y0Gg1g9U7u37+/3dbyCgTng8ij1o4IQ00gEAgE/yRqm/Vsyani96xKNh+ppLKx1a7cUK2hJX835pYG1P1uA6Bmw2cMD5GxePHiNg3ta0sWLVrE008/zdGjR23vKRTQrVsCy5bNJyDAk/XrN+Ll5UhSUswxj1oDnp5uNhGMxsYmtm3bSn19PV5e3vTs2dMuqfPF8NNPv/PSS59y+HAB8+e/wM03n1jv1dqqx9m5HyaTicTEGPbu/dau7rJlG47lBYuiZ88EO/VGrd7M66sa+WZ7CwCRPjLeu0lNl6BLU+SsqqqjoaHJ5jVcvXorYWGhdOrUifLyelas2MDEiRPw9PTj0KEcqqsb6NfPGvqp0WhQq9W4uJxfGoFZs2Yxe/bsM5bJZDK+/PJLbrvttkv6PAJBW3M5bYer8+oqEAgEAoHgsmAyW8jQ1PF7diW/Z1eyr6gO80mPbJ2UMnpHejEgxoc4tYXFn21g/u7vqK+txWLU4zHoLjwH38Otk7tcFUZaXV0dxcXFdO7cGbCwYcOvyOUWbrllKNdfv44XX3yDwEBnQkO9iIqKRi53xN/fAtQwZEiirR2ZTIaPj3W9nV6v58MPP+SHH5ah0+ls+7i6unDrrbdy1113nVPRcO3abaxdu53du7P4+ed3TzPu9uyx5iE7cCDX7n2VSsnYsf1wdFTZPHknM2HC4NPeA9h9VM/jS+opqLYqGt7R24mnR7qeEtZ4diora5HLZXh4uFFb28Cvv6Zz3XVDUat9yc+vITe3moiIEYASX18LLi6+QAheXkYmT47Azc0NkNKpU6Jdu0FBFxYS+t///pfu3bvzzjvvsG3bNsC65mz06NE8/fTT9OnT54LaEwj+7giP2ikIj5rgSqDVam1hNW2xSFsg+CsuZcw1Nzfb1vKc75NywZUnLbeKRTuK2HKkkjqtwa4s1s+VAbE+DIzxITnMA5Xc3ggxmUxUVVWhVCr5vz9KmP9nAQqZhPl3pNI3+q9zS13qNU6j0WAwGAgPD8do1LFo0UJ69+5GZGQAOTlZbN78J7fffh0KhYWcnCJkMinh4YG2vp+vTDxYw/kee+xRtm7ddtZ9xowZw4svvsDRo2VoNBX07ZtkV37XXS8zf/7PAGzb9iU9esTbyvLyNERHTyA6Opi77hrHU09Nu5BTYd9Xk4X/W9/ERxubMVvA313KWxPd6Rt9emhhc3MLKpUCuVxOQUEJubnFDBkyAHDghx/W4+sbQL9+g9DpYM+evcTHx+Pq6orJZEIqlbb7etby8nLq6urw9fW9KMEaMa8K2gsR+tiOCENNcCXYt2+fTbo6MTHxrysIBJfIxYy5P//8k7feeouVK1diMpmQSCSMHDmSmTNnMmjQoMvcY8HFYjZb+GhjDu+uy+b4jO+qktM32puBsT70j/HB3/3883eZzRYeXryHVRmlOCtlLJnei/hA93PWOZ/xZjQaMZvNKJVKysvL2br1D0aPHoRCYWDjxvXo9c2MGNEdMLF3bxYhIR3w9HTHbDa36Rz93Xff8+abbwKgUMgZP348cXEd2bNnN7/88gvmY+7Hqipfjh6twNfXk7KyX+0MmY8+WspDD1lD+ObN+zf33HO9rcxisdDaqrcLW7wYjpQbeWxpHQeKrbL/1yc58PJ4N9wdrefiyJGjSCQSoqLCaW428803axgxYhihoTEUFpaTk3OUwYMHI5FIaGpqwsHB4arwkLYVYl4VtBci9FEgEAgEV5QvvviCe++9F7PZbHvPYrGwevVqVq9ezfvvv8+//vWvK9hDwZloajUyc+k+1hwsA2BichA3dQ8mKVh90RLlUqmEdycnUtOkZ2teNXfM38mPD/Qm2PPCvBZVVVXU1dURFRUFtPLtt1+QkBBJ164RqFTluLtXYTAcRqFwYMCA6GM3PdbQvqSkE0mq2/pB6nffLQWsUvExMf3YsKGI+noX3nzzFbp3T7WJp1gs1rV8FRU1FBdXEBR0QkFy7Nj+hIb6k5zcEX9/e4+jRCK5JCPNbLYwP03Lm780oGtsQO3qwH9u8qWLup6Vy3Zx8803IpO5UFxchkzmRFRUIs7OcN11Xvj6+gIOhIa6ERoabWtTeMYFgqsT4VE7BeFRE1wJNBqNLTznQmP6BYKL4ULG3O7du+nevbvNSPP396dHjx7s2rWLoqIi236bN2+2iQgIrjwFVc3c+3U6RyqaUMqkvDK+MzenhrRZ+w06A5PnbiWzrJFwb2e+v78XXi72BojJZMJgMFBVVUVDQwPp6TsYO3YYHh4qdu/eTnZ2FjffPAgwc/RoGWq1C25u7Wc0FBdXsH79Dg4cyGXMmH4kJUUxaJB1HVhsbCxLlhzBbDbTtWssu3d/g9lsZtSoUVRWVlFdLaNjxx6kpHTkgQcmnWaQXQ7S9h7l1WXlHNYHY7FYCKzYwuv3Xseg3r2ordWSm5tHly5dUCqVl70vVztiXhW0F8KjJhBc44hJRNDeXMiYmzNnjs1ImzFjBu+//z4KhQKTycQzzzzDW2+9BcC7774rDLWrhE1ZFfxr0R4adEZ8XVXMvT2ZbiFtm5jazUHBV3elMuHjNPKrmrnry518MjmOmooy4uPjAT0///wdarUjAwd2Ra/XU1TUhNmcCahJTPShW7cOgHVshYR0ONfhLpqmJi05OUUcOpTP9dcPxMnphLDHzp2HmDbtJQAcHFTEx4fZytRqd6KigsjOPkpZWTVGoxG5XI6LiwuVlVX4+cEvv/xfm/e3pKQSBwclnp7uVFbWs3LlNm64YSwb8+U8ObeYxvp6PKPDeHZ0R0ZF9zom5KHAw8OBlBTPv2z/n4KYVwXXAsKjdgrCoyYQCAQnsFgsuLm50dTUhLu7O6WlpTg6nljPZDAYCAkJoaysDLlcTnNz818+zc+vauZwaQMpoR74ul2a1LnAHovFwie/5/LWr1lYLNAtRM3c25Lb9Dzr9Xp0Oh1ubm4YjUY+X/Qd7+8xolV6kqyuZ5RvIdOmDkMul1BSUolKpcDLS91mxz8TGk05ubka6uoaGT9+oF3ZQw/9l48++g6A7du/JDX1hLDHkSNHiYmZAMCECYNYuvRNhg8fQW1dHVInX+565A0k7gFIlE5M6OpIdXE2t912OwDR0VEsXrz4ovrb2qpHLpchk8nIy9NQUFDG4MEDAEe+++43AgJC6dNnEDqdiR179rPgsJ612XUAJAWree+mJMK9RRJngeBqQHjUBAKBQHBFMBqNNDU1ARAXF2dnpAEoFAoSEhIoKyvDaDT+paF2oLieW+Zto1FnFUCI8nWhT6QXvaO86RnhhbvjpeV8+iej1Rt58vsMVmWUAnBLajAvjet8moLjhdLY2EhWVhZJSYnI5Ua2bFlDc3Md48b1Qy5voWNoE+/F+fPIT5Be60p4ZA+OiywGBPhc6scCrIZNdvZR8vI0+Ph40Lu3vThEv373UlBQglrtSm3tQLuyyMgTnpWDB/PsDDVvf39m/ucFXPzDwNWPR5Y00tDrA2p0DiB3ZHY6WD1+TXywtg7PnAW2utdff0Ig5K/Izy9GIpEQFhZIU5OZb7/dyMiRIwgOjkIqdQVcAasc/5gxt+Hg4ABI+DO/hqc31FPZ2IpcKuGRIdHMGBiJ/CLXFwoEgr8XwqN2CsKjJhAIBPZ4e3tTXV2No6MjxcXFdlLZzc3NBAYGUl9fj6OjIw0NDWdVjssqa+TmT7dSqzXg6aykVqvn5BlIKoH4QHd6R3rTJ8qLlFBPHJWXZmT8UzhareW+BelkljWikEl4aVxnbu0Ret71LRYLLS0tNhnz335bQ1CQN506hVJZWcSaNWsZN64n7u4u1NY2AODh4WbXxrpDOu5bYM3J9tAgZ2aOcL2oz1JRUYOzsyPOziceCuzceZDUVKuM/a23jmThwlft6gwZMoMNG3YCUFOzwa5vf/yxlw/mb0AdGod/bDxamTv5VUbyq0xUNZk5K2YTUl05suZizA4+mFzDAFBpfiHBuJEF8z+1y49mNpsxm83I5XKKiytIT89i7NhRSKUurF27HYXCmYEDh2GxQF5eHgEBAac9+DhOfYuBV34+xA+7NQBE+jgz56auJASdW11TIBC0P8KjJhBc42RlZdlkhGNjY/+6gkBwiVzImLvlllv48MMPaWlpYdq0aXz++ef4+PhQW1vLAw88QH19PQCTJ08+q5GWW9nErZ9to1ZrIDFYzcK7UzGaLGzLq+bP3CrScqvJq2wmQ1NPhqaeub/nopRJ6Rqipk+U1XDrEnTxSoXXMluOVPLQt3uobzHg7aJi7m3dSAk791olg8FAfn4+QUFBODmp2L37Tw4f3s9tt40CWlCry3F01AMSfHzg9tuH2uqeaqAdZ2gnB964wY2nlzXw4cZmfN2kTO1lDc8rKCiwrfEKCws7Y/0FC1Yxa9YHlJZW8cMPs+2SO8fHRyKVSjGbzeTlFZ9Wd8KEQXTpEkVERCCyY2Mku9zA6v2trN4fRLbPFNACewBa7Or6ukoJ95YR4SMnwltOuLcMR2Ml7732FPm5RwCwSORoo25HF3YjrUEjqfQcyb5CHcGuDQQG+mKxyPj663WkpHQnPr4bKpU/7u6OGAyhqFQqhg693ibfL5FAZGTkWb+bTVkVPP3DfsoadEgkcE/fcJ4YHouDQjy0uBDEvCq4FhAetVMQHjXBlUDkexG0Nxcy5nJyckhMTESr1QKgVCqJjY3lyJEj6HQ623vp6ekkJCScVv9otZbJ/9tKWYOOTv5uLLq3J+5Op4c4lta3kJZTTVpuNWm5VZTW6+zKnZUyUsM96RPlTZCH1fNzPHXV8QxWtpth2+tT/iPBggW90YLeZEZvPP5nsnvdaldmtitzUsnpGqwmJcyDjv5uV8x4tFgszNuSx5u/ZGK2QGKwmv/dlkwH9xNenpaWFpvXZs+ePUgkJpKSYmhtreWrrxYyfHgKYWHe1NU10tzcQmCg7yX36//WN/Hu2iYkEvh4ipqRCQ5kZ2djNBrZsGE3Bw8WkZFxhHXrPrbzSC1btoEbb3wKgOefv4dXXrnfrt2nnnofZ2dH4uMjufHGIWc8H1nlRlZn6Fh9QEdOhclWppBBR//jhpiccB8ZEd5ywrxluKjO/P2ZTCa2bt3Khg0baGhowMXFDb1LAr81JVOlU2Iqy2J4iJF5Lz2CVKoiJycHb29v1OqLW4/XqDPwxurDLNphVVIN83Li7UmJf2l0C86MmFcF7YXwqAkE1zgymcwmIywQtAcXMuaioqJYtmwZEyZMQKvVotfr2b9/v61cpVKxaNGiMxppxXUt3DJvG2UNOqJ9XVhwd+oZjTQAf3dHbkwO4sbkICwWC/lVzfyZW83WYx63Oq2BjVmVbMyqvPgP3kb8vK8EAEeFjKRjRltyqAddQzzaZZ1di97ErB8y+OlYPyYlB/HyuE4U5B5BYfTDy0tNTs5BNmxYxx13jEepNGM2ZyGRmAAJKhXceedQFArrbYBa7YpafXGhiidjsVgYEVTNVp9mtlZ68siSOjydPfGSSpFIpGzcuIdly34HrOvFUlI62eomJcXg4eFGUlIMoaGnK0DOnv3IGY93uNTI6v1W4yyv8oRxppRB/xgVI+MdGNpJZUsEfS60Wh01NfUEBfkhk8nQah0YPvw2evbshVYrYeXKTdzRvTvv/FHGGqOedS1Sbvt8D+9MTjyWD+7i+DOniqe+z6C4zurtu6N3GLOuixOhv5eAmFcF1wLCo3YKwqMmEAgEZ6agoIAPP/yQxYsXU1lZiZeXFxMnTuThhx8mOjr6tP3LG3Tc9L+tFFRrCfd2Zsn0nvi6Xpz6oNls4VBpA2m5VWzPq6G+xcDxyev4NHbiNXavOaUcQCGTopRJUcpP/KmOvVac/P6xbdVJr6ub9aQX1LCrsJaGY6Iox5FIIMbXleQwD1JCPUgJ9STY09Hm6btUTCYTGTlFPLu6kMPlTZgq8piS5MqbD49FItGxYMEikpOj6NQpmObmFiorawkK8j1rSOqlUF5ejcFgtEv0bLFY8PUdRlV1A0E3vYgsNBlXBwnf3e9JXAcFc+Z8y2OPvQvAN9+8xpQp19nVBezOlcViISMjg71792IymQgPj6BPnz5kV2I1zvbrKKg+yTiTw4AYFaMSHBjSUYWbw+lzt8ViwWAwolQqMBiM/PHHXjp1isHPL4jDh4v444993HXX3chkzmRmHsHBweG0cE2LxcLS9CJe+ukQLQYT7o4K3pyQwMgE/ws6h82tRt78JZMF2woBCPZ05K2JifSM8LqgdgQCwZXjctoOwlA7BWGoCQQCwaVT1dTKzZ9uI6eiiSAPR5ZO70WA+szCCX9XzGYLOZVN7CqsJb2gll2FNRRUa0/bz8dVRUqo1eOWEuaJv7sDEgnIJBJkUglSqcS2ffL7xw2WQ4cO4erqSnCwLz9v28cDbyyE8F74eqt5rl8zkR4GEhNjAKsB0VZG4dnIzCxgwID7qKio4Z57rmfevH/blR8X9pDIlYx950f2lVjo4CZl2QNemBorKSgopUuXaNzdz53YOjMzk1deeYWsrGwsSDC5RdLq2xdTQH8MqhMhmio5DIy1GmeD41S4nmKcNTY2k59fcmydm5J16/ZgMEgYOXIUFosDK1eup2vXFIKCgtDr9RiNRpuoyl+RV9nEo0v2kqE5tk4zJYgXx3bGWfXXhvH2vGqe/D6DozXWMXNbzxCeGdnxvOoKBIKrB2GotSPCUBMIBNc6DQ0N5OfnI5fLiYmJQaFo21C9Oq2emz/dRmZZI/7uDiyd3otgz/O78f27U9nYyq5Cq9GWXljLgeJ6DKa/nmYtJiNIJEikMgy1pRiqi3COTkUmAW3uTpSuHjgHRNPcasTU0kRipJpPp3kToL48YV3btu3niy9+YvfuTF5//QFGjOhlK2tq0uLq2h+A1NTObN/+lV3dL7/8mcLCUhISoujRvwfTvtaSU2EiylfGqAQHWg2gM1hoMVjQHf8zWv8fL2vU6imvrsMsUWKRKkF2SsoHk44u3s3ce10Eg+NU1FVV0dzcQkxMKCDnm29+IzExgfj4BIqLa/j11y1MmnQzrq6elJaWYrFYCAgIaJNzZTCZmbMum4835WKxWNeWzbm5K0nBZ16r1qI3MfvXTL5MK8BigUC1I/+9sQt9o73bpD8CgaB9EYZaOyIMNYFAcK2Sl5fHyy+/zJIlS2htbQXA19eX6dOnM2vWLJydLz2BboPOwG2fbSdDU4+Pq4ol9/UkwufcnpNrGZ3BRIamnvTCGnYV1LKnqI76FgP6pjosJiNyVy8sRj1NBzbgEJaEQt0BY2M1xvpyVIFxSCSnzz0Tujnwxg3uOCguzXNWX9/E3r1Z7N6dyUMP3WRbrwawePGv3HLLcwC88sr9PP/8PXZ1e/W6E2dnR3r06Mzrrz94zuMU15m48eNqyhrOIYV/HliqC/CRlaMr3IChcCfNDWbS0jYTEhLd86QJAAAgAElEQVTBtm0ZVFbWM3bsDYCMgwcP4uvri4+PT7t4GQG25VXz+JK9lNTrkEslPDYshvsHRCKTnjj2rsIaZn6XQX5VMwA3dw/mudEdcXUQ+QMFgr8rwlBrR66koWYwGFi5ciW7du1CIpGQkpLC6NGjL8vaAkHbYjQaqaurw8XF5Vii0gujoqLCtujZ1/fSVdcEglPZu3cvQ4YMoaam5ozlKSkprF+/Hje3M0uvnw/NrUamfrGDXYW1eDorWXxfT2L8Ll2g4u+KxWLBbDYjk8morq5m9+5dDBrUB7lcz4YNa2lsrGbUmJ6YLSaOZBfh08ELB0dHzGYwWSzH/oPZYg2zNJnBQSGhg/uFedEsFgvV1fV4e9t7eKZMeY5Fi34FYO/eb23hkwBZWQXExU1EIpHwwAMT+fDDWZd0LvbmVrN4lxGTWYK7iwOOSgkOCgkqufW/g0KCgxxMuiaam+p48/WX0TU04SB35MflP6B28WTd6vXERMfx3nsfsGDBQgDeeustZs6ceUl9a0vqtQaeXb7flnQ8NcyTd29KxNtFxXtrs5m3JQ+zBTq4OfDmjQkMjBXX+8uFmFcF7YVQffwHsHz5ch588EFKSkrs3g8KCmLu3LmMHj36CvVMcC4OHjzI22+/zZIlS2hpaUEqlTJixAgef/xxhg4d+tcNHKO0tNQmIywmFEFbYzAYmDBhgs1IU6vV9O3bl/r6etLS0jCZTKSnp/Poo4/yxRdfXNQxdAYT93yVzq7CWtwc5Cy4O/UfZ6TV1NTQ0NBwTHjCyLfffknnzhEkJUUCJbS2Hkanc8TFxYk+fYJRKMKRSs2AhPhOIZelT2PHPsbmzbtxcXGiuPgXu7Ju3eJshtqePVl2hlp0dAh//PEZiYkxuLhcetiqk6maqfFGW7jtcXJyipDLZYSFhdDQYGLx4j/Rals4sjUTnQ4effRRIjtY1URvmjwVgEceedRmqO3evfuS+9aWuDsp+PCWrgyO9eWFFQfYUVDDyPe34OOiIu+YF21ichDPj+nULuqg/2TEvCq4FhDxfFcBy5cvZ8KECacZaQAajYZx48axevXqK9AzwblYtWoVKSkpfPnll7S0WCWVzWYzv/zyC8OGDeM///nPFe6hQGDlp59+Ij8/H4Dk5GTy8/N57bXXePfdd1m0aBGurlaD6ptvvqGiouKC2281mrhvwS625lXjopLz9d096Bzg3qaf4WrBbDbbwkabmppYs+YX6upKgRry87fx558/ABnAPnr08CY42AJU4eWlZMyYvjajR6VStsnT1oqKGh5+eDaDBk1n1qz/O628sbGZhoZmSkoqqa1tsCsbODCZBx6YxLx5/2bgwGS7MqlUSp8+SW1ipDU1aWlt1QNQUlLF99//jsWiBgLIzweNxhVIxNW1K2PG3I5S6cux9HxERESc1p5KpbJtm82XFk55OZBIJNyYHMTqR/rRNURNo85IXlUzPq4qPpuawtuTEoWRJhAIzgvhUbvC6PV67r//fpss8fDhw5k+fTpms5lPPvmEDRs2YDabmT59um3xv+DKU1hYyKRJk2zJft3d3enZsycHDx5Eo9EA8Oyzz9KlS5fz8oaGhYW12zoKwT+Pn3/+2bb92muvoVarkUgkWCwWoqOjuffee3n33XfR6/WsW7eOKVOmnHfbBpOZB7/Zw+bsShwVMubf2f2sIgp/R3Q6HRUVFYSEhAAmfvppCZ6ejvTvn4RCUQ/kYjIpATVdunjRtWt/wABAVFRwm/ShoqKGzZt3s2tXJuPHD6BnzxP56hwclHz44VIA9HrDaXXj4yMpKCglPj6ShoZmPDxOhLampHSyy2PWVhQWlqLV6ujYMQqzWcXixevo0iWRmJh4HBxaUCorMRpDUCgUDBt2va2eRCIhICCAbt262d6bP38+M2bMsJv7PvvsM9v21ZzIONTLme+m9+LzP/KpaGzl4cFRqJ2Uf11R0CaIeVVwLSDu+q8wy5cvp7y8HICRI0eyatUq20VlwoQJDBs2jA0bNqDRaFi9ejXjxo27kt0VHOOjjz6yedEmTJjAV199hYuLCyaTiVdffZWXX34ZgLfffvu8DDV392vT+yC4Ojg5dj4uLg6wH3MdO3a0bTc02HtdzoXRZObRxXtZd7gcpVzKZ9NS6B7m2QY9vnKYzWYyMjIIDAzAx8eFoqL9bNy4njvuGEVRUTbl5X9SVmZGLteQmprKddedUEM8WYzjYrBYLOTnFxMa6m+XpHfNmjSmTXsJADc3ZztDzc3NhZCQDhw9WkZ1df1pbf7f/z15yevLzkRNTT1yuQw3NxcqKmpZu3Y348ePwsXFm7KyOurqoGPHJKRSGD1ajYeHBw4ODqjVEBFxes69k+nRowddunQhIyODPXv22MLJ1Wo1CxYs4H//+x8ACoWCO++8s80/W1sil0mZPiDySnfjH4mYVwXXAsJQu8Kkp6fbtmfMmGH35EcqlTJjxgw2bNgAwM6dO4WhdpXwww8/ACCXy/nkk09wcbGq2slkMl588UW+/fZbjhw5wqZNm6iqqsLbW8guC64cQUFBtu1ff/2V6dOn25WvWbPmjPueC7PZwlPfZ7BqfykKmYT/3Z5Mn6i/zzg/ObnyoUOHqKoqpX//bkilzWRlbcTBIRQfn1DCwmDAgAgeeuhudu2yXw/VoYMfjzzyCMOHD7/k/rzyyjzmzFlEbW0Dhw59R8eO4bay5OQThvTKletJSvKnb9++uLq6HHtvDv7+3qeJhQBtJoSl0ZRTUlJJamo3wJHffttOaGgkvXql4uJiJjraDak0AnCiR48OdnX9/S8sCbREIuGDDz5g6NChGAwGNmzYYJsHT+aVV16hQ4cOZ2hBIBAIrg3EGrUrzMmim2eaUE9+Twh0Xj1UV1cD1tCKUxcpSyQSunfvbnt9NpU9gaC9mDp1qm37mWeeYeXKlZjNZrRaLbNnz7Y9ePD19T0vo8NisfDc8v0s21OMTCrhg1u6MegqV68rLy+nqqoKgJqaSubP/4Tq6kNALgpFLgrFUSAPKOemm/oTFxcKQFlZGQ8+OOM0I81aVs4zzzzL8uXLz6sPP/ywnlmz/o9p0148rUyhkNvWkO3addj2vl6vZ9WqHwgKkhERAQ0Nmfz73//muuuuY86cORgMRhISos5opF0oWq2OhoYmAJqbW1i0aAMlJQYgiObmDpSXuwMJQBTXXTeF5ORBgCNOTs6kpqaed5Lo86F///6sXLnyjEaeg4MDs2fPZtastvcUCgQCwdWE8KhdYZKTTyzgnjt3LqNGjbJ51SwWiy3E49R9BVcWX19f6uvryc/Pp7i4mMDAQFuZyWQiLS3N9vp8vGl6vd62rVSKNQyCtiU5OZkxY8awcuVKamtrGTt2LB4eHuh0OlsIL1jXVf7V+EsvqOHNXzJJL6xFKoH3bkriuvirw6uh0+mQyWQoFAqOHj1KZuYhhg/vB+jYtm0lbm4qBg1KxN29heRkDxwdawFHoqMDiI4+c/Ljt96aTW1tHQCBgQFMmjQJtVrNmjW/sm3bNgBmz57NgAEDUavdKS6uICPjCAqFnGHDetq19e6735CWlgFYQxLd3U/kl0tO7oifnxfJyXF4eVlDtoxGI08++SR//PEnp4rW6XQ6FixYSFGRhrfemn1RnrO6ukZyczV069YRicSJTZv2I5U6cN11Y3ByciQiQoGTUyygJjbWj9jYE2vH1OoLMwwv5ho3fPhwCgoKWLFiBX/88QcGg4FOnTpx66234uHhcUHHF/zzEPOq4FpA5FE7hfbOo9ba2kpwcDCVlZUAjBkzxk5M5HhIUkBAAAUFBSgUQinqauCFF17g1VdfBaw3EwsXLsTHx4eWlhaeffZZ5syZA8CIESPswsrOxr59+2wywlfz4njB35eGhgbGjx/Ppk2bzlg+a9Ys/vOf/5x14X12eSOz12Sx7rB1Ta2DQsobNyQwodv5hUpeDvLz8zGZTERFRaDX1/Pll/MZMiSVyMgOaDT5ZGYeYfDg7kilUrRaHQ4OSoxGI42Njbi4uNipB54JjUbD+PFWsQtfXx+WLl1qU8hsbGzm9dffYO1aq7z9I4/8izFjxuPlNQSA/v278fvvn9q1N2PGf5g71+q9/P33T+nf/4Thc3Io5nFWrFjBK69YrzNKpYIbbriBzp07k5Gxn+XLl2M0GgF47bVXGTly5Bk/g8FgpKVFh5ub1ShcvTqNmJgYoqI6otHUsXHjDm688RacnJypra1FoVDYQrnbEnGNE7Q3YswJ2guRR+0aRqVS8dFHHzF58mQAVq5cycqVK+32kUgkfPzxx8JIu4qYMWMG77//Pg0NDfz2228EBQWRmJjIkSNHqKuzPn2XSCQ89dRTV7inAoEVNzc31q1bx48//shnn33Gvn37kMlkdO3aleeff57U1NQz1iuua+G9tdks263BbAGZVMLklGAeHRqNn9uFJ3e/UPR6PRaLBZVKRUlJMZs3r+fGG4ejUBgpKtqK0aglKqoepRKGD4/G11cC1BMU5ElQUA9bOzk52SxYsIDNmzdjNJqQyaT079+f22+//aw3cfv3H7Btjx8/HldXV379dSsPPPAmeXnFPPXUrbbyffsymDp1KoGBvjav2qmKc/feewNjx/YjMTGGwMDTQ6ZPZenS72zb77zzDr179wZg9OjR9OrVkyeemHlsv6U2Q625uYWDB3NJSIjG0dGdnTsPodHUMHnyTYAD7u4tqFShQDBBQSHcfnsX2zGEl0ogEAiuLoShdhUwadIkli5dyoMPPmjzrB3Hz8+PuXPnMn78+CvUO8GZ8Pf356effmLcuHE0NDSg1+vZuXOnrVwikfDRRx8xePDg82rP3d0dk8lkp/QmELQ1MpmMiRMnMnHiRAoKCmxjzpqg2Z46rZ6PN+XyZVoBeqM1V9XI+A7MHBFLpE/be1yOU1tbS21t7bH8Wa0sXvw58fHhdOsWiYtLOWFhZkymPBQKFf37x9rVDQs7c/jiihUreO211zCbTwSQmExmNm7cxKZNm3juuee44YYbbGX5+cVs3JjO0qWr0etBqcS2/srHx4O8vGIAcnKKT2rP6t26665xtLbqSUiIwmQy2cnKd+sWd97nQafTkZmZCUBkZITNSAOrMRYZGUdwcBBFRRo2btzP1q359OrVG5NJT05ODhER0Tg6+tC5cxAxMQbAGqrYp0/f8+5DWyKucYL2Row5wbWACH08hfYOfTyZ1tZWli9fTnp6OhKJhNTUVMaNGydiq69iCgsL+eCDD1i4cCHl5eW4uLhw/fXX88gjj5CSknKluycQXDAtehPz0/L5ZFMujTqr8dEj3JOnR8bRNaTtPS5arZYdO3aQlNQJtVrJ7t3bOHToALfdNhQwodGU4+7ugqur80W1f/jwYaZOnWoz0ry8POnYsSOZmZlUVVVjNIJSKWH+/PnEx8cD8MILc3n1VWuurvBw8PCA6OgoFi5ciMUCAQHXERkZhJ+fCo1mFwB33nkHDz300KWfkGNotVr69esPQOfOnbn33kfp1CkaL68ADhwoZPv2g3z++Xy2bduHxQK5ublnTA4tEAgEgsvL5bQdhKF2ClfSUBP8vRFP7gR/Z4wmM0vTNby/PpvyhlYA4jq4MmtkHANjfC45aaxWq7V5pTZtWo9U2kr//kkYDPX8/PMv9O7dmQ4dvDEYjMhk0ja75v773//ml1+s60QnTpzIzJlPoFAoeOKJ9/jiix+pq9OSlAQjRw7njTfeAGDVqj8YM+ZRAOLiPHByqgWgZ8+eTJs2FXd3d3777TcWLFiAyWRGIoEff1xOcPDFr9czm83U1DTY1Bu3bMnggQdmUl1dg1YLr776LjfcMImgoCBaW1vZv3+/TV02Ojqa7Ozsiz62QCAQCC4esUZNIPgbIIw0wd8Ri8XCmgNlvPVbFnmVzQAEqh2ZOSKG8YmBSKUXZ6BVVVWhVCpxc3MjP/8wa9f+wtSpo3FwMBAQUH/s91KKQgETJgyw1bvUpNHHsVgsvPfeN8yb9xtmM8THu/L444/Z1vrW1zdRV6cFQKuFjRs32h629OqVwH//+zA9esQjl+t5/PHHMBqNbNu2zab0eDK33nrbRRlphw/n4+nphp9fBzSaOtas2cUtt9yCq6sfgYEeDB061SZM9M477+Pp6UuPHj1IS0vjueees7Vz3333XcwpEggEAsFVjvConYLwqAkEgn8KW3OreXNNJvuKrAI4ns5KHhoUxa09Q1DJL+zBQ1VVFVVVVcTFxQDNLFz4FTExHUhNjUKn01JaWkVwsJ/dmq1LpbGxmT//3MehQ3l07BjOyJF97MoDA0dSUlKJTAbTpiXy+eef28rmzfuRxx57Fzc3GS4uTbi6wpYtm8+YC2zr1q08//zzNpn+48hkUm6//XYefPDBs84RWq0OlUqBTCYjO7uQo0erGDp0MODEd9/9RlRUJ7p2TUWv11NXV4e3t7etrfr6elJTU8/pLevcuTPbtm27LEqNAoFAIPhrROhjOyIMNcGVIDc31yYjHBkZeaW7I2gHqppaWZpeRI9wT7qFeFxyaOH5YrFYSMutZs6aA+zUWD1oTkoZ9/QN597+Ebg6nFtd1mg0IpfL0el07Nixg/j4GDw9lezfn86BAxncfPNAJBIJ9fVNuLg4tomn2WQykZ19lMBAH5vMPMC+fdkkJU0B4PbbR/H116/Y1Rsx4iF++83qAevRw5H169fg7Gxd69baqqe1VcfYsWNpamrG0dGBzZs3n/Va39rayrp169i9ew8Gg56wsDDGjBlzWsL7vDwNcrmckJAA6uuNLFmyjtGjRxEYGEFBQTkaTRl9+1oFPU5VhTwTxcXF3HjjjWzfvv20sj59+vD999/TocPVkcfuXIhrnKC9EWNO0F6I0EeB4BqnqanJNqEIrn1K6lq49bPt5FdZDaX4QDem9QpjbGIADorLE0KrM5j4aW8JX/yZT2aZdUKRSWB4lDMvT+6Jr6tVat9sNmOxWJDJZNTU1JCTk3NMul/PmjUrkcnMDBvWC4WimaqqdHQ6LeBD584eJCQMsh3v5GTOl8Knny7jiSfm0NSkZdmyt7jhhhPHiIkJQSqVYjabOXgw77S6r756P+HhKrZt+x2DoYVXX32V5557DldXV/R6PW+++SZNTdbvYPjw4eecVFUqFaNHj2bUqFE0NjajVCpwcFBRWFjKzp3Z3HjjOCQSZ7Kz83FyciYkpCtubhaGD/fBy6sD4EBYmCthYVG2Ns/HOA8MDGTr1q1s2bKFpUuXUl1djY+PDzfddBO9e/duNwP/UhHXOEF7I8ac4FpAGGoCgUDQjhRWNzNl3naK61rwclbS2GrkQHEDT36fwX9+yeTm7sHc1jOUALVjmxyvsrGVhdsK+WZ7IVVNegAc5FIGhzsyKtIBqbaG2pJCfGNjMJtbmD//c/r2TSY2Npimpnzy8raTmGhGpVKQkOB4zDAoQyazX1t2KU8O163bzvr1O9m9O5MVK97BweFEImofHw+amqxrydLTD9kZao6ODrz++gP4+3uTkBB1WrupqfH4+DzElClp6PUG1q5dx5YtWwgLC6egIB+dziqaolDImTJlyln7V1ZWhVarIyIiBJNJydKlG+jduw+dOsXh7BxMQIAnRmMoCoWCESNutBlPEonkjKkPLhSJREL//v3p37//JbclEAgEgr8PIvTxFEToo+BKYDabbdtirF27HClv5NbPtlPR2Eq4tzPf3NMDB4WMxTuPsnBrISX1OsCaVHp4Jz+m9Q6jR7jnRXlNDpU08MWf+fy0twRtXSVShYogP2/GRStxqdzLnVNH4+goJS1tKy0tjQwblgxAVlYBfn5eqNWubfrZARoamigoKKVLl2i79++44yW++molANu3f0lqarytrKiojL5976F7905MnjyMyZOHXfBxN23axDPPPINebzitTKlU8MYbbzBo0AkDsL6+ifT0Q/Tq1R0nJ2/S0g5SUdHE9ddPBiSUlZXh4eGBSqU6rT3BmRHXOEF7I8acoL0Qa9TOwIYNG1i4cCFpaWkUFRWhVqtJSUnhhRdeIDk52W7f3bt389RTT7Ft2zbkcjmDBw/m7bffPmPOGWGoCQSCy8HBknpu/3wHNc16Yv1cWXBPqi3cEKzy+OsOl/NlWgHb8mps78d1cOWO3mGMTwrEUXn2sEhryCJszKrk/5b/wY5D+TgEdQTAqyyNKUNj+dctieh1jeTmaoiNDUWlap8cjRaLhX797iEtLQN/f280mtV2xudHHy3loYdmA/Dpp89x7703nK2pi6awsJDFixezdu1a6urqcHNzZ8CAgUybdjthYWH8+usOPDx8SU3tTXMzrF+/nX79BuDh4SFSbwgEgsuO2Wzmxx9/5JNPPmHHjh2YzWYSExOZPn06U6ZMaVMhJkHbIgy1MzBp0iSqq6uZNGkSnTp1orKyknfeeYf09HR+/fVXBg8eDEBmZiapqakkJSXx9NNPo9PpeOGFF6itrWXv3r34+PjYtSsMNYFA0NbsPlrLHV/soEFnJCHQna/vSsXD+exGUmZZA1+lFfLjHg06g/WpsLujwhYWGezpRGlpKVKpFD8/P4rLS3h+zudkKeMobnXCUK3B3FTFhLE9ubuvEzGeRpycHC7rdcxgMLJz50HS0jLw9HTjrrvG25UPHfoA69fvAKCwcCUhIScEMAoLS9m7N4uUlE4EBFx6zrYzYTKZOHKkiA4dvHB3d+Pw4VLS0g5y5513IpO5cehQLk5OTm0SqigQCAQXgl6v5+abb+bHH388Y/mAAQP4+eefcXVt+0gHwaUjDLUzUFFRcZraVlNTE1FRUcTHx7Nu3ToAJk+ezMaNG8nNzcXNzQ2wPlmNjo7mscce47///a9dG8JQEwgEbcnW3Gru+WonzXoTKaEefHFnd9z+QlnxOHXNepbsPMrCHUfJL9RgqC7COTyJIR09iNbtJayDA7nySL7d1kB1cRFytR/uro5MSXViam8nAtWXxwtksVgwm812Xqa6ukY8PKzhg8nJHUlPX2BX55VX5rF8+SZ69+7Ck09OJTTUv837ZTQaqaqqw8/PC4lEws6dh9BqzQwY0B+LRcX8+cvo06c/sbEJNDdrqaurw9/fv92u7yaTiaqqKlQqFWq1ul2OKRAIrn7+9a9/8cEHH9heBwQEoFAoKCwstL03adIkli5deiW6J/gLhKF2AQwePJji4mKysrIwGo24ubkxdepU5s6da7ffiBEjyM/PPy0/jTDUBFeC6upqzGYzUqkULy+vK90dQRuxKauC6Qt20Wo00zfKm0+nJuOkPHv4Sk1NDTqdjoCAAIxGHQsWzKdv3yQiIjuw9PdDzFuxj1xFZyQyORajAWRym/cpzEvGnX2cmJjsiLPqr69XdXV1Nnn4MxkNZzLGDh7MZdq0l8jN1fDkk7fz7LN32dWJj5/MwYN5yGQy6us34ezsaNdeW3nKTg5F3LZtPwEBvoSEhKPR1LJ69Z/cfPNNuLn5kZ1dQGurnoSEBADbb6y9KSsr4+2332b+/PnU1FjDWhMTE3nwwQe56667/hFhleIaJ2hv/i5jrrKykqCgIPR6PSqVim+++YYJEyYAsG7dOiZNmkR9fT0AWVlZxMTEXMnuCs6AkOc/T+rr69m9e7ct7DE3N5eWlha6dOly2r5dunRh7dq16HQ6HBwcTis/mYMHDxIaGmrzyIE1p05mZiYAHh4ehISE2NU5cuQIWq1VqSwxMdGurKqqiuLiYgBCQkLw8PCwlZlMJg4cOABYv+RT19Hl5+fT0NAAWBOdnhyzXFdXZ3v6EhAQcFpYZ0ZGBhaLBUdHx9N+6EVFRbYbiNjYWLtz0tTURG5uLgC+vr74+9s/CT906JBNArdTp052ZaWlpVRUVAAQGRlpl5RVp9ORlZUFgKenJ8HBwXZ1s7OzaWlpQSKRnPYdVlZWUlJSAkBoaKjdjabRaOTgwYMAuLm5ER4eblc3Ly/P9oOKj4+3u0mqra3l6NGjgFUW29vb267uvn37AHByciI62l4Q4ejRo9TW1gIQFxdnJzTQ0NBAfn4+AH5+fqflPTpeJpFITptQSkpKqKysBCAqKsqWBwpAq9Vy5MgRALy8vAgKCrKrm5WVhU6nQyaTER8fb1dWUVFBaWkpAGFhYbi7u9vK9Ho9hw8fBsDd3f20cLDc3FyampoASEhIsLsYVVdXo9FoAAgKCrL7PGazmf379wPg4uJyWm6bgoIC24TUsWNHlMoT4YH19fUUFBQA4O/vf5pH/cCBA5hMJhwcHIiNjbUr02g0VFdXAxAdHW2X1Li5uZmcnBwAfHx8CAgIsKubmZlJa2srcrmczp0725WVlZVRXl4OQHh4uN01YuXeIh5dmoHRDL1DXflsWopNet9isZCTk0NZWRmHDx9m2rSbUanMHDiwiaqqMgYNiqeyspgOHZpRqaqQSZXcMqgDtwzqQFZpKx/+Ws7aHAU6o4ReEUru7uvE4DgVUqmE4uJiiputkvMRERF214jGxkbbd242mzEYjKhUStvv58iRI3z33Ua++uoXiooqWLXqfQYNSrF91oqKMnbtso6LtLQMW7tarRaNRsNttw1DqXRgxIjeODqeGP95eXm2/GunXtMqK6uorbVee4KCguy+m9bWVvLy8qmurickJICQkGDS03PIy6tk8uSJ5ORo2LOngfJyNSEhHfHzMzBxYhwuLmoqK6tpabGKs9TV1aFWq23jtD2vEYcPH2bIkCG2837yfvfddx+rVq3iu+++o6Wl5ZzXiIMHD2I0GlGpVMTFxdmV/R2uERqNxk4qXVwjxH3EyVyO+4jjYw6s+Qiv1vuIZcuWoddbFXmnTp1KVFQUGRkZxMXFMWzYMJ577jmeeuopAObMmcP06dOvyWvE3/k+4vjv9HJwTRlqDz74IM3NzTz33HMAthPq6el52r6enp5YLP/P3nmHR1VtffidmUwymbRJD2kkIQVCAiGE0CH0XkVUREzu/LoAACAASURBVGmKYrkK6EXxU8B277Wj6L2CYAVRUZqIItXQaxJKKEkIIaSRXqfP98fIJEOitCS0/T4PDyezz15nnZk9Z87v7L3WMlFSUlLvgnE5er2eyyceTSaT5QKg1+sb7HOp/XLMN0g6y/blXK3dy32qa9dgMDRo12QyNVhTxGAw3JDdvzrXunYvP9e672FDdi+da0NP4a/W7q3y2VzpXOvudzl/99lcye6lz6ahtr+ze6nvlew2xNW+hw31r+vT5VzpXLVabb0ZoIbsXu97eC2fzZojF5j9/VEMJujsI+UfsQqLSFuz5nsCAjxwdpYglWah1Z5EozmCnZ0j8fE+2Nj4UV5ejl6vp2VLb5ydlVbHDPWyYUZ8JZM6gETuQMdI6x9rg8FgGZ+Xu2w0GtHr9bz66hfs23eCoqJyDhxYYmnX6/XU1Kg5ffo8AGlp5y1CzWg04uHhgkJhi7e3u9Vs2SW7I0d2x93dHW9vb6vj6vX6Br8z5r61/l4aL6dPn8PGRoavry8lJRJ+++0kQ4aEERgYQ2BgAK6uFYAPWm0xnTrV1hKTy+WW6/2tcI3Q6XSMGjXKciNja2tLhw4dKCkpsazmWLt2LfPmzWPOnDlXHId6vb7BJ7TiGoHFx9vlGnG53Vvlt+pOu4+oa/967Tb1Z5OXl2dp69SpU733MCEhwdJeUFDwl99XcY2o79PlNOU1oqm4Y4Tayy+/zPLly/noo4/qZX38u+U2V7MUx8bGpt5+EonEcqFqKBOPjY3NXxZZlEqllraGvlBXa/dyn+rabWiQyeVyTCZTg3ZlMtkN2a37/1/Zvfxc676HDdm9dK4NfUZXa/dW+WyudK5yuRyj0XjNn83V2P2rjHV/Z/dS37+ze6Pv4ZXGy+Vc6VxtbW0xGAxXtNvUn83Xu9KYs3QjNi4+DGjjykBVJrt37aZzvDMSSQ0REVJcXLTo9TV4etoycGAnnJ3NT4gv1Q+TSKSW4zX0HtrY2OBsA0plw5+rVqtn9epEcnNX07KlDy+9NM1iy8bGhpycIjIzzTcHJpONld3gYF9sbW0ICfHHxqbWvlQqxc7OloMHPyM0tJXVjPElu+bthr/Ldf8H84+eyWRCKpVRWFhGSso5Jk2KBrzJysrG3l6Fr280Dg62DBjgj59fS0CGl5eX5SnorX6NWLduneVJdXR0NEuXLrU83c3MzGTcuHHo9Xo++eQTnn766SuOw7p+/9W53qrXCH9/f6ulp3fzNaIhu7fKb9WddB/h7+9Pbm4uOp3uiuP7Zt5H1J0NvZQA75IPAEeOHLG0u7i4IJfL78hrRF1ux/uIpuKOiFFbsGAB8+fP54033mDu3LmW10+dOkXr1q35+OOPeeKJJ6z6PP/887z77rtUV1dbTc+LGDWBQHA1aDQayw/joUOH0OurOK734NV16VQd38YDo+JZ+EgYarUGrVbX6HXJDAYDaWnnSUlJo02bIKKiags+q9UaHBx6YjQaiYkJ58iRFVZ958z5kA8//I6IiJZ8++0btGlTu6xHr9cjkUgaPW6qulpNZWU1Xl5uGI0SvvxyE/HxnWnbtgOFhTWcOHGGLl26WC1Tud2ZMGEC3377LQC//vorgwYNsmqfNGkSX331FQDr1q1jxIgRze6jQCC4uWRmZhISEoLJZEKlUrFt2zZiYmIASEtLo0+fPpZlgAcOHCAuLu5muitogKbUDre9+rgk0ubPn28l0sC8ltne3t6ylrUuR48eJTQ09IrxaQKBQADm+IuSkhKqqipZsGAukZEtCQiQERUl5803H+bDDdt47edMJFIZs54YyYePhiGVSlAqFTcs0qqr1fWW36xdu4PWrccxfvwLfP/9Zqs2hcKOiIiWAKSmZtbr+/LLj1BZ+QdJSSusRBqYn/I2hkjTaLQcP57+Z5yYgpSUAjZvzgDaIpXG0rv3ePz9YwEVHh4t6NWr1x0l0gBLvA5Qb6UHYHXDdSm+VSAQ3F0EBQVx7733AuYYwdjYWBISEhgwYACtW7e2iLRevXoJkXYXclsLtddee4358+fzf//3f8ybN69eu42NDSNGjOCnn36yUrpZWVls27bNklVHIBAILiczM5O9e/cANUAhiYmrOXhwFVOmdGDNmn+hUOTj7Q12CgOp8k7s1nUC4B99lbw41KlRlkL897+raNNmHE5OvUhKss5QGxNTG8ifknKmXt8PPpjNzp2fkZ+/qd7SHUdHZZNkGjx2LI0TJzIBJwwGT/bsyae42B9oS3T0QEaPfggwPxwLCQmxCjy/E6kb7J+YmFiv/Y8//rBsXx7ULhAI7h4+/fRTy8Mck8nEjh072Lx5syWOKjw83DI7L7i7uG2F2rvvvssrr7zC4MGDGTZsGHv37rX6d4kFCxZQXV3N8OHD2bhxI6tXr2bYsGF4eHgwe/bsm3gGAkEtRqPR8k/QfJSWllJaWgpARUUZX321hLy8Y8A5NJoTlJcfBk4A5xgzpiPfffcJ6elpSKWgUEBYeBiS2GepCR4PgPL0UuSnvrwmkbZu3Q5efHERDzwwt16bRqPl5MlMjEZjPaEWFOTLhAmDefXVx3nqqfH1+g4c2IXu3WNwcXGs1wbXP+aqq9Wo1RoAcnIusmrVdvR6JyCA8nJPKiv9gXCUylCmTHniz9gycHBwsMqSda1oNBqWLVtGt27dcHV1xdvbm3vvvZcdO3Zct82m5v7777dsz5o1i5QUc6ZMg8HAkiVLWLVqFWAWaZeyFd+piGucoLm5ncacSqVix44dvPnmm1bZP729vXnppZfYu3dvvWyjgruD2zZGLSEh4W9/oOue1qFDh5gzZw579uzBxsaGvn378s4779RL6QkiRk1wc0hOTrakJr48DbPg+jEYDGRmZuLt7Y2joyOZmWc5cuQgY8YMAbRs2LABW1sYMKAjRmM1R46cJCwswJLcoy5JSUlMm/YIAG4+gTw08y32FXiwIcWcAt7p1H+xzdqAUmnPxo0brVJIG41G0tOzKSurJC7OOvV0v34z2Lr1AAC5ub/i41Obynn79oMMGvQ00dGhzJw5gQcfHNJo783p06ctKfPrptk2mUxUVlbj4GCPVColLe08paUVxMXFAHZ88cU6OnToQPv2sZSW6jh69BSdOnVq0mXkhYWFDB48mEOHDjXY/swzz/D+++83aUD39WA0GomPj7fyOzIykuLiYqtMb2+99RbPP//8zXCx2RDXOEFzc7uOOZPJRH5+PkajER8fH3H/eRsg6qg1wPbt2696344dO7J58+Yr7ygQCG47SkpKOHv2LLGxsYCR7ds3YzRq6Nu3K1DDli3fkZAQS3i4H/b2eXh6lmMwnEAmk9GzZyC2tnKgBqlUQseOberZN5lMXCg1sujnNCpbP4Fe1YZipyBe2SwB1Egl8PY4F1I3ylmdBdXVNezatcuSOKK6Wo2f3xBKSyvo3DmKvXu/sLIfExNuEWopKWlWQq1HjxgqKxORyxv3Um0ymaip0SD/s2TA/v3H8PJyJygoiPz8ctat2824caNxc/OhpsZERUUZYC4aPXDghD9rQTmiUkHPnk27ZM9kMjFu3DgrsRMQEEBFRYVlNnThwoUEBgYya9asJvXlWpFKpaxZs4YBAwZY6mWdOHHCap/HHntMrO4QCAQWJBJJvRppgruX21aoCQR3Eo6OjlbFYAXWVFZWolar8fDwwGAwsGrVt3TsGEloaAvKys5w/PgeoqKM2NpKCAys+bPXOWQymDy5759iTIu3txve3rV1FRuaOTMYTZzM03MwU8uBTB0HM7XklRuBHlCnJnuQu4y4IFvGxirwsynm26SLnDkDLi7WiSGUSgWenq6UllaQlHQanU5vJbwmTRpOQkJHYmLC8fe3rj/WUFro60Gj0ZKWdp7gYD+USkcOHDjDnj0ZDB06GJlMSVnZBRwdg4C2uLvrGDIkACcnH0BOdLR18HpzL7/ZuXOnZfWEj48PP/zwAz169ECr1fK///2PZ555BoD//Oc/PPXUU7dcQhJ/f38OHDjAZ599xpIlSzh16hR2dnYkJCTw1FNPMXjw4FtuJrApENc4QXMjxpzgTuC2XfrYVIiljwLBzcNkMiGRSCgrKyMpKYkuXeKwszPyxx9bKSzMY+zY3kANBw8eIzDQBy+v+sXsr5VqrZGkLB0Hz+k4kKnlSJaOSo31ZdFGCm6SixSf3oUh7zgvTOvLY5PHWNpTU88SGWnO2qVSwYoVrzFkSO0yxWeeeYdz53Lp2LENM2dOwNHx+mO1/gqj0UhlZbVFfO7cmYS9vTMdO8ZRXW1ixYoNDBkyAj+/IEpKSqiursbPz6/R/WhsHnvsMRYvXgzA119/zcSJE63ax40bx48//gjAhg0bGDp0aLP7KBAIBIK7F7H0USAQ3HEUFxdTWlpKSEgIYOTHH1fSsqUXcXGtMZnyKSo6hFoNdnaOxMa6IZV6AFUA9eK8rpcPNlfy0dZKDJfFmjvaSYhtKadTS1s6BsmJCZAz95+fs3CVWRD8rzKVof3iCAgwT7GVlOQhlYLRCHq9hO7du1vZW7jwuUbxty4Gg4ETJ87i5+eJm5sHp0/nkJiYwtSpk5HJnHB0lKJQ2APBKJUwdeqTlh8NV1dXqyKrtzI5OTmW7YYSbvTr188i1HJzc5vNL4FAIBAImhoh1AQCQZORl5eHjY0NHh4eVFSUs3Hjevr06YqnpyNZWYc5evQoISFDAA3R0QpcXIxAPioVf86emWmKGahD57R8sLkSgBYuUuKCbKk+d5QTOzZxYk8iiWfX4epauzRy2LA+LFxoFgQXLpRyzz330K5dO6qqqjh9+gyhoWBrCw8/PP7PGK7G4VJiD4lEwpEjJykv19O7dy+kUnuSkpKws4vCza0tgYGhDBvWDonEA5ASE9PBys7tuipApVJZto8ePVpv6WXdOpl3erp/gUAgENxdiKWPlyGWPgoEV4/RaKSgoAAXFxfs7e3JyEjn2LEkRo4cAGhYt24djo629O0bi15fxf79x4iMDEGlckKv1yOVSpv9u7V48U+knjzHVtkAymQejOtozzv3mm/wn376LRYt+h6AzZs/oV+/eEu/4uIy7r//RbKyTmIylePYQNb7rl278N57791QnFRa2nkcHe3x8fEiJ6eCn3/ezfjx96JS+XDmTDZVVTXExMRct/3bjR9//JFx48YB0KFDBzZt2oSHhznhyq5du+jfvz9qtRqlUsmFCxeshJ1AIBAIBE2NWPooENzhZGZmYjAYkMlkBAUF3Wx36qFWqy3p11NSUjCZDLRvH4FeX8a6dV/Rt28coaE+2Ntn4+ZWitF4CqlUyoABrbGzswXU2NjI6NatNkVyYyXKuJwLFwp4662vyMzMoXfvWGbNso5p+vDDlZyTheI+xAMnOwlzBtcqrktZHwMCvCkrq7Tq5+bmwqZNn1BeXs63337LmjVrKCi4CEBYWCjjx49n5MiRV3Veer0eiUSCTCYjPT2b9PQcBg7sDyhJTj5GQIA7Pj4xeHrqGTw4CAeHFoCcsLCIG3tz6nCrj7lLjBw5kpCQEDIyMjhy5AhBQUEMGjSIoqIiqxItU6dOFSLtFuZ2GW+COwcx5gR3AmJG7TLEjJrgZnAr1XsxmUwcP34cHx8fPDxcSU8/wZYtvzN58mhsbY0cPHgQo1FDfHwUACUl5Tg7OyCTyZrNx61bD/Ddd5tISUnjk0/m0KFDa0tbZmYOwcEjARg7tg8//vi2Vd/BI+ZwPHgqMqULz/SSMnNobXr58vJK1GrtVSUpMdcbq0Qmk12xkHNxcRk6nR5vb3eqq/UsX76ZgQMH0rJlOFlZhWRmXqBnz55IJBKMRmOzXG9upTF3JY4ePUq/fv24ePFig+0JCQn88ssv2NvbN7NngqvldhpvgjsDMeYEzUVTagehPgSCuxCdTkdOTg4GgwGAgwf38euvq4FCJJJskpN/o6BgJ5BEixblDBgQilR6ESgjLi7MItIAXF2dm0Skpadns2rVZt58c1m9tpSUMyxevJq9e49y5MgpqzZ/fy+LP+fP59frGzTiMWRKF4JcTczoby3InJ0drzqTpEQiwcnJqUGRVlJSTmLiEYxGKeDCoUMFHDhQArRDqexMr17j8PCIBFwIDGxFr169LCnaxUOh+kRHR3Pw4EFmzJhhVUg8KCiIt99+m19//VWINIFAIBDccVz3jNo333zDihUrOHfuHDU1NVZtEomE9PT0RnGwuREzaoKbgVartWw3Zh0ovV5vWYq3f/9+3N1VtGrlR0FBFmvWrGPs2AQ8POw5dy6LiooqoqJCgdo0+c1BcXEZRUVlhIUFWr3et+/jbNt2EID8/E1WAmrr1gP06zcDgHnzHmX+/Mes+u7ffww/Py98fNytROTJPB3DPizCYIRvprnSI8zuuv02Go1UV6stiU7Wr99Fq1ZhREa2p6Cgij/+OMTgwcNxdHSkuroaOzu7Zp11vBJNNeaaGrVaTXZ2NnZ2dvj5+Ylr823C7TreBLcvYswJmgOj0ci2bduIi7OuOXpTY9T+85//8OKLLxIZGUn79u2xs7v+mx2BQNA4PyI6nY6MjAwCAgJQKhUkJe3j2LEkJk4cCdRQWZmCg4MzUIG7u4H77uuCs7MM0NGyZQsrW40t0tRqDVqtzqrAtMFgwN9/KHl5RcTHt2Xfvi+t+rRvH2YRaikpZ+jfv7OlLT6+Lbt2LSU6OhQnJ4d6x6s743cJk8nE/HUVGIwwuK3dNYs0rVbH2bMXCAjwQal04ODBs5w5k8uDD04EHPD1BWdnb8AXLy8YNy7M0vdKSyNvBrfrjYtCoSA0NPRmuyG4Rm7X8Sa4fRFjTtDUFBYWMnr0aE6ePNlkE1TXJdQWL17Mk08+yUcffdTY/ggEgitQXV1tufHft28vMpmBuLhIDIYSduxYxaBBnWjZ0p3AwBqcnHyBPAD69q1N1y6TyXBxaSBt4Q1gNJqLkdV9grRv3zEeeOAlzp3LZe7cKbz22gwrH8yzUUUcO5ZuCfq+xMiRvXF1daZduzBiY2tj0MCcrr9uYpKrYcNRNXsztNjZwEvDnP5yv7qziUeOnEQmk9OuXQcMBgk7duxh8OB2BAaGERERTGBgDWCuR9axY8dr8kcgEAgEAsHtiU6nY9iwYX+uVnJvsuNcl1DLy8tjzJgxje2LQCC4DKPRyJkzZ/D09MTNzYUzZ46ybdsWpkwZhVyux84uExsbCaBAoYCpU/tbljq6ubng5tb0daU+/fRHPvlkFWfOZLFt26d07lw3fs2Js2cvAHDq1Ll6fXv0iCEgwJvIyGCqq9VWs2N9+sTRp09cvT6XKCkpZfv2bRQWFuHi4kyvXr3w8fFpcN9qrZE3NpiXNM9IcCTArfbSV1xchp2dLQ4O9mRm5rNtWwoPPfQANjbO6HQ1mExKIAx7e5gy5Snkcjlgrtkl6nYJBAKBQHD38eOPP7J//34AvL29m+w41yXUOnbsSHp6On379m1sfwSCu5KcnBwUCgUymYzz589TXJxPr14dkUpr2LdvPR07huLmFoCfn5rBg1sjlRYDMmJiwqzsNFXK+//9bxV79hwlN7eQTZs+tmqrqqohJeUMAKdOZVoJteBgP9zcXAgJ8SM83DoGDeDzz+ddsy86nY6FCxfy448/otXqLK+//fbbDBw4iBdffMEq4YRWq+NfP5wnp8QOfzc5vTzy2Lmzmh49ugC2rFv3BzExHYmJicLNLYy4uABMJl9ATnx8D6tjXxJpdwJlZWWW2UMhOAVNjRhvguZGjDlBU7JsWW2is0WLFjXZca7rru69995j4sSJxMbGiuU+AsFVUjftekpKCiqVisDAFuTnZ/Hpp5/Qt29HvLwcsbU1oVCUAuaaUA8+2MuyJFCpVBAY2PCs0Y2g1erYuTOJY8fSUakcefjh4Vbt3333O9u3HwKgsLAUD4/aelVRUaHY2Mho1cq/XmybXG5DYeHmRot5MxqNvPjii2zbtt3qdb0ejEYTv/76K9nZ57nnnmmEhYXSpk0kyWkFLF7+B7Zh3Xl5eFeUNpVo1RWAuWba8OEP/fkjLsfZ2Y7o6OhG8fVWJzMzU6SuFjQbYrwJmhsx5gRNyenTpwFQqVT06tWLysrKK/S4Pq5LqE2ZMoWioiLi4+Px8fGptzZTIpGQnJzcKA4KBLcjWq2W06dPExwcjIODPUlJ+zlx4igTJgwH1GRn78ZodCUwMBQ3Nz0JCS1xcdEgk0kIDw8H/C22GjNToFqtITX1LB4eKgICagWfVquzZFHs0iW6nlCLimrF9u2HkEqlpKWdtxJqffrEUV29C7m84ctJY4k0vV7Ppk2/s23bdgwGqKqSMmHCfXTv3pf167fx7berqa6uISnpOM7OGbRvPxZoyX/3XsQuohc92/gzqG1gPX88PDwaxT+BQCC4nGPHjrF79270ej1RUVGWeokCgeD25lJJmMrKyiYTaXCdQs3d3V3c3Ajueqqqqrh48SJBQUEAbNnyG0qljK5d22MwlLJ371pUqngcHNzw969CqXQHcgAYOrSTxY5cbkP79m0wGIzIZI2TavxS1Y26NwQ//5zI6NHPYTAYeOONJ5g7d6qlzdFRSVCQL5mZORw7ll4vPf/TT9/H1Kkjad06CHt7hdWx/kqg3SglJeXk5hYSGRkC2LJ27V4WLfqO9HSoroYXX/w/Zs6ciUqlok+fSUyc+A+6dOkCwIYNG/jwww/ZfqqAraeLsLV3YMHoKHGDVIcWLVrUS+AiEDQVd9t4O3HiBI8//jiJiYlWr4eHh/PBBx8wZMiQm+TZ3cPdNuYEzUu/fv04efIker2e999/n5kzZzbJca67jtqdiqijJqhLdXU1Op0OFxcXdDodv//+GzExbfD1dePUqWPs2JHItGkjkcl0nDyZga2tDSEh5tmwuksdm4svvljP0qVrSUk5w86d5vT1lzh+PJ2oqPsAuO++Aaxc+S+rvosX/4RUKiUqqhXx8W2bxXeDwYBGo0OpVKDV6ti8eT8xMe3x9W3JqVM57NmTwkMPTUUmsyUnJ4ewsDCqq6vx9/cnKyurnvDq2bMnO3fuBOD8hRweXnGKjMIqHukRzP8Nj2zy8xEIBIITJ07Qo0cPSkpKGmyXSqWsWrVKJGUTCG5jTpw4QVRUFCaTCXd393rp+W9qHTWB4E7CZDJhNBqRyWQUFhZy9OhRevfuhlSqZdeuX9Hpahg6tBtyuRpb2ywkEjngQUiILcHBfZHJNAC0bh1kZfdqv6AGg4GsrPOo1Wp8fHxwdVX97f67dyezb98xzp/P5733Zlm15eUVsXNnEmCuPVZXqIWHtyQuLpLIyGD69evE5UyfPvaq/L0eLs3QlZZWcPJkJp06tUUmU7J160G0WgnDhg3H1tYeO7tKJJJwoAVhYYGEh3e1iDFfX1/LTOFf1cepW9Px20N5ZBRW4eFoxzP9wxrcXyAQCBqbxx9/3CLSWrVqxWOPPYaTkxNff/01u3fvxmg0Mm3aNAYOHIiDQ/06kAKB4NYnMjKSd955h9mzZzfpca5bqBUXF/P++++zZcsWioqK8PDwoH///jz77LO4uro2po8CQaNSWFhIZWUlQUFBmExavvpqGR07tiYqKgiDIZvy8iTUaluUSgWdOnkilUqAMgCross3uuRPr9fz7bcr+f7778jJyQVAKpXQq1cvHnnkUTw9fSguLiM8vKVVv+eeW8iePSkAvPLKo6hUtTXB2rUzC7OAAG80Gq1VP7nchgMHvrohn6+GgoJiKiur/5xZlLF8+e+0axdNdHQManUZmZlZREW1xtHRiQ4dvP8UX24A9OvX32KnIaHbrl079u3bR0ZGBtu3b6dPnz6WtrS0NLZv3w6AT3AEXxzIB2DO4AicFHdOtkaBQHDrkpKSYlnuGBoayuHDh3FyMl+jp0+fztixY1m7di0lJSWsXLmSadOm3Ux3BQLBDTBr1ix8fX354IMPmuwY1zUnd+HCBWJjY3njjTcoKysjMDCQ0tJSXnvtNWJjY8nJyWlsPwWCa0Kr1VJTUwNAaWkp69evoaIiDygkPX03+/evAZKRSI7SrZs3fn4moAhvb3tGjeqFUmmOw1KpnHB2btzC0AA6nZ7nnnuODz74wCLSwJy5cMuWHcTETMTTsz/Tp79Rr2+HDhGW7aSkU1Ztfft2orh4K1lZG5g6dVSj+32JiooqKiqqAHMdsu+/30Z5uRTw5uxZI4cPVwDtgRhiY4fTokUc4IOPTwT33/8wjo7mGxcPDw88PT2v+riPPfaYZfuee+7h/fff5/DhwyxdupS+fftiMBgAaH3fC1RpDXQIVHFPrP9fmRMIBIJGZdeuXZbtGTNmWEQamB8+1X36fmmZtkAguH25//77rb73jc11TQnMnTuXmpoa9u3bR6dOtUuoDhw4wIgRI5g7dy5ffPFFY/koEFyRwsJCcnNziY6OAtSsWfMtfn5udO8eha1tMfb2ORgMJwEnOnb0Jj7eF9ADEBZWv75XU/Ovf73P11/vRK0GNzfo2zcKDw93UlJSKCouBbkCmZ2S5LOVHMzUUKWFSrWJSo0RVecxTAzsh8rTg58LXPhheSkVGiOtPG2Y2l1JgJtzo/ubl1dIdnYBcXHRgJJff92PnZ0jx4+f4pdftnHxYhErV+5m+vTp9OvXj86da2ew2rRp02h+TJw4kWXLlrFz505KSkqYNWtWvX1adR7IWZMnEgksGNn2zxlRweUcO3YMrVaLra0tUVFRV+4gENwAd8t40+v1lm1n5/rX4rr1vHQ6Xb12QeNxt4w5wc2nKROVXZdQ+/XXX3n99detRBpAp06dePXVV3n55ZcbxTmBoC5GoxG1Wo1SqUSj0fDbbxuJi4vE11dFYeFRjh49RNu2mj+XD/r9mZ2wDKVSZrVksamKQl/OoUOp/P77Po4fT+fllx+xLGHU6XRs2LSdKvs2yAOD8OgYT1HbDhyrkFLdBWp0UloMqLUz7n+XB6Q7m/+VAGgsr/5x0kQmTgAAIABJREFUWstXe6oZ1V7BjARHwryv7TxLSyswGAy4u6uoqdHw00876dWrOwEBrSgvh6ysMjp2bI9EIqGkZDv/+MejaDS1xz916hSrV68mISGB1atXo1L9fazd9SCXy9mwYQOTJ09m9erV9dq79+iJ/ag5nCms4b64ANr5N74PdwoGgwGj0WiZhRQImpK7Zby1bdvWsv3VV18xbdo0q5u4L7/8ssF9BY3P3TLmBHc213XHWlZWZklJfjnBwcGUlZXdiE8CAWCuTZGZmUlkZCRSqYHff1+PwVDN0KFdsbWtxskpHxsbB6CCiAgXWrfuZ+nr49M85SMyMrJJSUnj3LlcnnnmAau2TZv2MvflT5G7BeDbNQ/XdDdO5ek5er6awh5L8elh3q8EKMlvwLhRjxwNPh7OONlJcFRIcLKT4qiQ4GgnwUkhxcHWRFHeeUoK8zhW7kN6lTs/HVHz0xE1AyPteLKPI+0DGo7PKioq5fjxDHr06IRU6sC+fScxGGwYOrQbCoUd4eFyHB1DAVfCw30IDzcXt//999+ZMWMGRqOxQbvbt29n7NixbN68uUkyRzo7O/PTTz9x4sQJVq5cSX5+Pq6urowdO5bTRi/+b81xnBQ2PDco4srG7mIUCgUymQy5XMTvCZqeu2W8JSQkEBoaSlpaGomJidx7773Mnj0bJycnvvzyS95//33A/MBw8uTJN9fZO5y7ZcwJ7myuKz1/mzZtGDRoUIPBc7NmzWLjxo2kpqY2ioPNjUjP3/yo1WoUCnNM2NatWwgM9CE0tAU5OWfZuPE3xo9PwMnJjoKCYqRSqVWx5ebAaDRy9mwO1dVqqyyKAN26TbUk9jh1fiuZZbacytNzMl/PoTNl5FbZIJE2XMNFUnORQBcdg7uGEeFtQ4inDBd7KUo5DBvYC6NeS+uIcFasWNFg/8TEnbz99ltcuFAbE6p3DkUWPZViZTuz7zo18f5GZo30o0uwnFWr/iAqKprIyHbk5VWwZ08SgwYNQ6lUUllZiVwut8qc2BBdunRh3759gHkp4htvvIGvry9r1qxhxowZFBYWArBp0yYGDBjwd6YaldJqLQnvbKe0Wse8EZFM6R7cbMcWCASCS6xfv55Ro0bxd7dX8+bNY/78+c3nlEAgaDKaUjtc14zalClTeOGFFzAajUyaNIkWLVqQm5vLN998w0cffcS///3vG3ZMcGei0WjIyMggODgYhULOvn1/cPbsae6/fzBQg43NWaTSSkCNj4+RKVMGWAa6l5dbk/pmNBrR6fTY2dWmfq+oqMLbeyA1NRp6945l+/bFVn3atg1hz54UHNsNZNCiKkxU12m1QyIFB7mJ1i3ktPGVE+Ejx9lYwPyZk5Dqq/BvHcELC76xWhqzZ88eTHotEsDb27tBX7ds2fLnd9D6RkBSkkbVb3Nx8w0h5v73+G13JjvO5HMwX0lMgAtDfGNxc4sEvPHx8WHMmNq09Y6OV06akpqaahFp0dHRfPnll5bPZ9y4cRiNRu67z1yrbdmyZc0q1N7ddJrSah0R3k481KXllTsIBAJBEzBixAhWrlzJo48+Snl5uVWbTCbjpZdeYt68eTfJu7uDs2fPsm/fPoxGI+3btxfLTAW3Ldcl1J5//nnS09NZtGgRH3/8seV1k8nE9OnTee655xrNQcHth8lkoqqqynLjv3v3LpRKG2JiwtHpLrJz50+4uHTB11dFWJgJX19/wDwL06tXB4ud5prF3LMnheefX0hy8hleeeURnn/+YUubk5MDKpUTNTUajh/PqNd39OgEZN7h/G7ogcEkIcLbhkhfGyJ8bIjwkdPaxwYfZ6mVEDOZWvJ9aAAnT57k5MlTvPPOuzz22HScnJxITk7mzTfftOw7bNiwesesrq5hwYLXLSLN0zOUhISB+PkF8PHHX3L8+En0pzMwlsxj6/pNfL47k9VHi0g6X0bSefgp8xQzEvQMb9cCG9m1vccZGbXvwciRoyhX6zlfbM6uGeXnzOjRoxvct6k5kVPO8n3nAJg/su01n5dAIBA0JuPHj2fIkCGsWLGCXbt2odfriYqKYvLkyfj6+t5s9+5Yzpw5wzPPPMPGjRutXu/WrRvvv/8+8fHxN8kzgeD6uK6lj5c4deoU27Zto6ioCHd3d/r27Ut4eHhj+tfsiKWP147RaCQ9PR0vLy9cXBw5ceIwu3cnMnXqGKRSNYcPH0GhkBMZGQKYA3xlsoaXA14qjNzYJCefZvPm/SQlneL115+gZcsWlrZDh1KJi3sIgEmThvPFF/Ot+k6duoDi4nLatg1h/vzHrOqn5ZcbGP5RERcrjAyNtuPjCaqr8n/Hjh3MmlWbptnGRoajoxOlpaWW18LDw/jqq6+RyaScPZuDh4cKFxdnPvzwa+bNex+TCfr2HcqCBf/G0dGR4OBg1Go18fHxHD16FIDdu3fTtWtXLlZoWLbrLF/vOUelxpyVLNBNyWO9Q7gn1h+FvOHPo1ytI7u4hvMl1WSX1LAn5TTrtuzExsUbew9/DNI62R1bODO6tQOPD40Ho4HevXtb6po1JSaTifs+3cv+zGKGtWvBxxNim/yYAoFAILi1SE1NpWfPnhQVFTXYrlAo+PXXX+ndu3czeya407nllj5eIiIigogIEbB/N3Ly5EkqKkrp1CkKqCAx8Se6dm2Di4sfgYFqnJ1bY54lkxIbaz1G/kqkHTqnZeoXJYyKsefl4U7IZdcm2IxGIxkZF0hLO8/gwd2s2lav3saCBUsA8yxYXaHWtm0INjYy/Py8Gox/W7as4SUqWr2JGd+UcrHCSLi3DW+Pc7lqkdm7d29eeGEOb731FkajCb3eYCXSvLz8mTLlaeRyF0wmJTt27KFLl0BcXDqQnLyIS7s+9dRsoqOjLf0UCgVPPPEEM2bMAGqFmqeTHXMGt+bx3q34Zu85lu48S1ZxNS+tPsYHm88wuVsQDrYysktqRVl2SQ1lNfXTRyvDugBwKY+Wh6MdVRo9qbnlpOaW4zd9CeUH19B3YLd6fZuCdck57M8sRiGXMndo45UCuNPJzs62PDTx9xe15gRNixhvgqZm2rRpFpHm7+/PuHHjkMvlrF69mrS0NNRqNRMnTiQjI0MkGBHcNjRPnnLBbUllZSVgjl26eDGfX35Zy5gx/XB2lqHVnkCjKQHkSKXw8MMJlrT3jo5KHB2V13y8/26voqzGxFd7qjlbqOfjB1U4K67+aUSPHo+wZ08KUqmUioo/LEWrAWJiasXikSOnuOee2gyRCoUdRUVbrrmw9YL15RzO0uGskLD4IRUOdtf25KRv3wGEh0fy228b2Lx5B5mZlQQHBzJp0uOEhXWgpsYItEYigYkTH8fW1hw7V/cJjVJZ/32u+9rlaYld7OU82SeUqd2DWXkgiyV/ZJBTpubt305dbsaCm4MtAa72+Lsq8Xe1Z9/WX/ht9bfoS/ORqkvpOXY0Xv7BrEstQR3YGRsXL9z6TecHjQz7304yqVsQXk6Kv7R/I+SVqXnzF3PioicTQvFT2TfJce5EioqK0Ol0yOVyceMsaHLEeBM0JYcPH2bPnj0AhIWFceDAATIzM9HpdIwfP55Zs2aRmJhIdnY269at45577rnJHgsEV8dVCzWZTMaePXuIj49HKpX+7cyBRCKxKvoouD0oLCwkJyeHdu2igRo2bvyOFi1c6NEjEmfncqKjHbCxyQMUtGvXEqhN2HCjtclyywxsPWmuyaWQQ+IZLeP+W8zSSSoC3My21WoNCxYs4eDBE3h5ubF8+etWNlq3bsmePSkYjUaOHUsjPr62wGW3bu34/PN5xMSEW5Zg1uVaRdrK/dUs31eDRAIL71cR5NHw+ZtMJkwmE1KplOzsfLKy8ujWLR6wZ9u2Q/j4BPDPf35JQkIyJ0+eIjw8nC5dutSzc0mkAbRr186yvWzZMqv9TSYTn3/+ueXv9u3bN+iXva2MKd2DebBzS9YkXWBdUg6Odjb4u9rj72pPgJvSIswc7KzPrbJXAP13/sC+jGwAvvnmm9pG2ac4t+tP2IgZFGrg423pLPnjLGNj/Xi0VwitPK/tfb6cGq2BfWeL2HmmkJ1phZzMMy81CHRT8miv+p+rQCAQCO58duzYYdl++umnrQqLy+Vy5syZQ2JiImAuISOEmuB24arvrl955RXLU7BXXnmlSatwC5oOjUaDRqPB2dkZjUbDhg1riY+Pxt/fjcLCYxw7doioKC1SqYQ+fYL+nJWqwc5OTmxs6ybz67sDNRhNEB8s57FOOmat1nE6H8Z8UsySh1V0CLTFzs6WxYtXU1xchpeXW714tr59O1FUVEaHDhF4erpa2ffycmPy5BGN4uuRLC2vrDVn8po9wJE+rWvT2RcUFGM0GvHx8aC6WsfKlVvp378vgYHBaDS2FBfrMJnaIpFIGDjQE3t7e0BOVFQ0bdtGXdX3auLEicyZM4eamhqWLDEv55w6dSo1NTUsXLjQEhcWFBRE//79/9aWrY2U8XEBjI8LuOrzd3R0ZMuWLcybN4/PPvvMqm5i9y7xvPba8/TqncDvJ/JZ/Ec6h7NKWXngPN8dPE//Nt481iuEuKCry+BpNJo4nlNOYtpFdp4p5GBmCVpDbf02iQSi/Vx4bVTUX8bZCRomLCysyWJCBYLLEeNN0JRoNBrLtqenJ2A95uq2190WCG51biiZyJ3InZZMpLS0lNOnTxMX1xGpVMOmTb+g15uLRkM1iYkHaN06CE9P12b/ETUajeaiyRIZPd+6SG6ZkSdjy/jnfQ8ic3KnzfT3qLBxx84G3r9PxdBoBYMGPcWmTXvx9nbn+PHvcHdv3ppqBRUGRiy8SF65gcHRSub3N5CcfIaBAxOQSh3ZtGkfBoMNQ4aMBOSkpKQQFBSEs7Nzo/rxwQcfMHPmzL9sl0gkrF27lhEjGkec/hVVVVUcPHiQmpoaQkJCGkwmdDCzmP/tyGBzam1V744tXZneK4QBbbyRSq3H3IXSGnaeuUjimUJ2pxdRXKW1avdT2dMj1IMeYR50D/XAzcGWuwWTycTmzZv56KOP2Lp1K2q1mrCwMKZNm8b06dMbfZwJBALB7cDq1asZO3YsAKNGjWLNmjVW7TNnzrTU/n3nnXeYPXt2PRsCwfXSlNrhuoTaq6++yiOPPNJgitnc3FyWLFnCK6+8csPO3QxuV6FmNBqRSqWYTCbWrv2RiIiWtGkTQG7uObZt28HIkd1wdLSnuLgMmUyGi8uNLUG7Edat28F//vMlyclnWLHidexDO/PoV6W4OUjY/LQjnu59MBqNxMS1o8OT71qWRM4Z7Ehvr4u4uDjg6+vZbKKysLCUyspqfP1bMGFJMdt/3khoZCSbXx9NdVk1hw+fICGhDwqFArVaja2tbZOPF5PJxMKFC3nxxRdRq9VWba6urixevJhx48Y1qQ/XSlpBBUv+OMvqIxcss2IhHg482isET0c7Es9cJDGtkIyLVVb9HGxldG3lQc8wszgL8XC4K5/Km0wmZs6cycKFCxtsDw0NZfPmzbRsKWrICQSCuwutVktAQAAFBQUAzJgxg2effRY7OzuWLl3KG2+8gdFoRC6Xk52djZeX1032WHAnccsJtbrxapdz6NAh4uPj6yUxuF24XYSaTqdDKpUik8lITj5EauoR7r9/IFDB4cNJ+Pi44+vredP827//GDt3JpGcfIbFi1+yKiL9/fe/c999LwIwf/50MgPvZdspDdN7KZk71JlHH30dT09XOnduy/ARvXnt5wq+2G0uJH1fnD2vj3G+5oyQV8JoNKLXG7C1lVNWVsmuXcn06tUNR0cP9u49QVbWRY7bxfLlnixsqwr47pkBdAi9+QHxxcXFLF++nOTkZGQyGV27dmX8+PENJhm5VSgoV/PF7ky+3nuOCnX9WFapBGICVPQI86RnmAcxASrkoi4aixYt4umnn7b87eXlhaenJ8ePH7e8FhUVxZEjR244ZlQgEAhuNz7//HOmTp36t/u8/PLLvPrqq83kkeBu4ZYTalKplL179zYo1Hbs2MGgQYPqPeW/XbhVhZper6empgYnJyfU6iq++WYp/fp1JDjYlYsXcygqKiMiomWzzzSUlJRz/nw+7dqFWb3+0EMv88035oKThw9/Q4cOtfFtZ85kER4+luBgPyY88gDLKxIwmWDbcx4E/0VSji92VfHqzxUYTdCtlS3/najCxf76P5PKymoKC0sJCvIFZPz4YyI+Pv50796b6moTiYkH6Ny5CyqVCp1Ox+qkXP75o7k22WcPx9E/0vu6j90QVVVVlqWnDg4OjWr7VqVSo2fl/ixW7MvCaDLRI8yDHqGedG3ljou9SJ1cF71eT3BwMNnZ5gQuH330EY8//jg2NjYcP36c0aNHk5aWBsCaNWsYNWrUFW3ejWNOcPMQ403QHCxatIjZs2ej1VovmZdIJDz//PP861//uun3c4I7j1tCqKWkpJCUlATA5MmTeeWVVwgJsc6yVlNTw/LlyykqKrJ6yns7casINaPRSEFBAZ6enshksHXrBsrLCxg9ujtQzenT5/Dz88LB4eakIzeZTMTGPkhS0mkCArzJytpg1f7ee98we7Z5PfjSpS8zdWrtjaPRaKS8vAqVyol3N1Xw0dYqurWyZcWjf59gYutJNU+vKKNKayLUS8bnk10tGSGvhF6vZ//+44SFBeHp6U9q6gV27UphypRHkcmUZGVloVQq8fDwqNc3JbuUcf/bg1Zv5Nn+YTzbv/GLuicnJ1tSV/9VpkbB3cuOHTtISEgAYPjw4axfv96q/ZdffmHYsGEA3HfffaxcufKKNsWYEzQnYrwJmou8vDyWLl3Kpk2bMBgMRERE8NJLL9W7ZxUIGotbouD16tWrWbBgAWB+MvFXU8f29vZW6cEFV09ubi5SqRRvb0+Ki8+xbt33jBzZDR8fB2JiHAFHwLwEMDy86eNQSksr+PzzdRw8mErbtiHMnVu7pEAikVji3M6fzyc/vwhvb3dL+7BhPVCpnIiJiaBtW+uLo1QqRaVyQmcw8d2BGgAmdL6y4OzbWsEPj8uY+kUJaQUGRn9czOKHVXRsaV5WaTKZKCurxMXFEYlEwr59J6ioMNC/f39kMntyc8/i6xuCp2cQoaHBtGrVHZnM3DcwMLDBYxZWanj860No9Ub6t/HiH33DGtxPIGhK8vLyLNs9e/as196rV68G9xUIBIK7DR8fH1566SWGDx9ueTggRJrgduWqhdr06dMZPnw4JpOJ+Ph4Pv/8c6Kioqz2sbOzo1WrVn+mHBdcieLiYtLT0+nUqQNQyaFDv2Fvb8Lbuz3u7kbGjo3D3d0eMOHm5nIlc9eFRqPl9OksUlPPEhXVyqrGmMlkYtas9wHo0iXaSqgB9OzZAZ1OT8eObdDrrWMSIyKCiIgI+ttjb0nVUFBhxMNRysDIqyuIHOkrZ82T7kz7soTjOXrGvXOS18Z6MLGPPzk5FWzYsI/x48ejUrXA09MVZ2cN4I9EAvfcc7/Fjlx+5aV1OoORJ5cfJqdMTYiHA+/dF1MvQ2Fj4enpicFgQCYTKeYF9XF3r30Icvjw4Xrthw4dsmy7uV1d6QMx5gTNiRhvguZGjDnBncB1xajt2LGD2NhYnJycmsKnm0pTTl+aTCYSExNp2dKHli3dOX/+NImJiYwd2wOFwg61WoOdnS2aP/MrKOSNJwrKyipJTT1Lhw4RVok9Vq3azL33vgDAq68+zssvP2LVLyxsDGlp51GpnCgs3NyoF7yHlhaTeEbLjAQH5gy+urGUk3ORzMwc2nfsxDMrS1i75ldkDm68PG0U03sEUVBQgLe3d6MkU3h1/QmW7TqLg62MtU91J9TrzhvvgtsDtVpNQEAAhYWFSKVSfvrpJ0scWn5+PsOGDbOItW+++YYHH3zwZrorEAgEAsFdQ1Nqh+uy0Lt37ztSpDUWlvpgwIkTx/nll5+AAiSSs2g0qeh0J4BMAgJsmTChHwqFuWCyQmHH1pMauv27gNjXCnj+hzIOZGq5Fi2tVtcv5Pjss++iUiXQtesUjh/PsGpr0ybYsp2aerZe3//970UOH/6G/PxNjSrSsor0JJ4xB/s+0Ml6BtZkMqHRmNu0Wh0//bSD8+erAV/U6hYUFrphL2/Lpw/15ImHx6Pwb8Pbv53mxTUn8PRu0SgibfWRbJbtMr8f746PESJNcFNRKBSWjI9Go5HRo0cTExPD4MGDCQoKsoi0wMDAW64sg0AgEAgEguvjqu9op06dyssvv0xwcPAV059KJBKWLl16w87dLpiFhQaFQkFlZQWrVi2nf/9O+Ps74+R0Hk/PSuA8AAMGxDVoQ60z8e+NtWnoAX44VMMPh2oI9pBxb5w998Ta4+3csFiaNu1Vduw4jMlkIj19rVWbr29tgozU1LPExtZmYAwLC2TixCG0bh1E167t6tnt169+Zs/G4Ns/Y9N6htni7WgkIyOboCBfpFIZ27YdpbraxPDho7C1dcDLS4+dXTjgRUhIC0JCagPRF4yJIbSFK/PWHmPVoWwyC6sYE+tHOz8V4T6O2Nlcu7g8dqGMF/7M8PhUn1AGR/k0yjkLBDfC3LlzOXbsGD/88ANgTs6QnJxsaffy8mL9+vXY2dndLBcFAoFAIBA0Ile99DE4OJg1a9bQvn17goKC/jYNvEQiISMj4y/bb2WuZvrSZDJRUlKCq6srEgls3vwzWm0ZQ4d2BipJTj5JcLAvzs5XV1Q6rUDP09+WkpprXvM4tbuSQW0V/Hi4hp9T1FRrzR+RBBMtbQvp6l3Ogse6YWtT+xn06DGNXbvMN22FhZtxd1dZ2n7/fS+vvbaUNm2CmDRpON263dyMW1q9ifZP76Lc5MjSp9rTwVPK2rXbGTfuPtzcfMnPL8BoNNKiRYurtrntVAFPLT9MlbY2Vk4ukxDh40S0n4poPxei/VyI8HHC1uavJ5KLq7SM+GgnF0prSIjwZOmkTsiaKC5NILhWDAYDX331FYsWLbLEqqlUKiZPnszs2bPx97/5tf0EAoFAILibuCXS898t/NWbXVpaikQiwdVVRU5OOj//vJp77umNu7uc/PyLAFZZD68Gk8nE9wdrmL+ughqdCXcHKe/c60JHXx0mE7i4OFKlMbLhqJrleypIvlD7Ubk7SBnTQcH4TvaEe8t59tl3+fTTn4iJCefzz+fRunXQDb8XN8KlDIxKpQJbWzmpqZkcO5bNvfeOZUNKDVPf+B4PL2+SPpiGTAIajeaGk9BkXKzk+4PZHLtQxtELZZTV6OrtYyuTEuHjRJSfC+38zeIt3Nss3vQGI5M+38+utCJauitZ92QPXJTNU8/r5MmTluxUrVu3vnIHwV1PaWkparUaDw+P61ruK8acoDkR403Q3IgxJ2guhFBrRhp+s2WsXfsDKpWcPn3aYjDoyM8vxtvb7brjts7llPLvLUY2HjfHYvUItWV8YBaPPvRPCgqKeeutf/D88w9b9Qlq9yhlbu1wiu6P1MHV8nr7ADkj20oZG+eAq6MtN4usrDz0ej0hIS2pqZHy9dcb6d9/ACEhkeTnl5Kbm0f79u2ZuHQfu9KKeKpPKM8NimgSX0wmE9klNaRkm0Xb1Yg3BzsZezOKUdrKWP1EdyJ8mi8uTdQYEjQ3YswJmovCwkI++eQTiouL8fT05Mknn0SlUl25o0BwA4hrnKC5uCXqqNUlJyeHiooKIiLMN9l6vZ733nuPw4cPM3DgwCvGsN1+nKFfvxCUSgVgRCaT4evr+bc9Ls0oqVTWN/tvvrmM97/eh13CE9i4eGMjhecGOTK9pwOpqSUUFBQDcOhQaj2bc58agkwmJaaDlGKFCz8cVLP1pIbk8zqSz8PbWzQMiVJwb5w9XUNs/3Z56vViMpkwGAzY2NhQUFDMvn0nGDJkADY2zqSnZ2MwyAkJicHeHkaM8Pwzrbgt3t4+eHv7cLawil1pRUgkcH98QKP7dwmJREKAm5IANyXD2rWw+H6+uIajF2rFW0p2KeVqPUcvlFn6vj2ufbOKNAAbGxtMJlOjJEIRCK4GMeYETU1NTQ2zZs1i2bJlaLVay+tvvPEGTzzxBP/617+uqlSKQHA9iGuc4E7gumbURowYQWBgIB9//DEA8+fP59VXX0WlUlFWVsaXX37JxIkTG93Z5qBhVZyBVGqst69araG6Wm1V4+zMmTOMHTuHtLRc7OzknDu3HhcXc7vBaOKBVxPZV90KiVSGm62GZY+2ICbAPAtWU6MmLGwsrVr506dPR+bPf+yK/l6sMLDmiJrvDlaTVlAbn9Unwo6PJrjgaHdjar6yspry8qo/hamU5cu30LZtNDExnSgp0XDo0HG6deuGUqnEZDJdURy++Usqi//IoE+EJ59PaZpEJddCXfF2PKeMMG9HxnQQcT4CgUBwI+h0OoYMGcKWLVv+cp8xY8awatWqRnnqLBAIBDeLWy49/+HDh+nTp4/l7yVLljBz5kyKi4uZPn26RcDdKlRWVvLss8/i6+uLQqEgJiaGlStXXnX/qqoaq7/T07Px8xuCvX13S0Ho/Px8Hn/8ce6//wEyM7NQq3WUlVUzcOBgPvpoEdnFWh78rIT96nAkUhmORSnM7ZhtEWkA9vYKsrN/YceOxVcl0gA8nWQ82suB32d6sPoJNx6It8fOBrad0jDuv8XklBquaMNkMqHXmxOZqNUa9u49Snl5NeDIqVPlbN6cAbQFYujceTQBAXGAG66uLejfvz9KpRLgiiJNozew6lA2ABM6t7yq82tqJBIJge7mWbd/Dm4tRJpAIBA0Ap999plFpNnb2zNz5kxWrFjBk08+aZlFW716Nd9///3NdFMgEAhuaa5rPrioqAgfH3PK8tTUVHJzc5k8eTIA99xzD999912jOdgYjB07lgMHDvDvf/+b8PBwVqxYwQMPPIDRaGTChAlX7L916wFGjeph+dvLy5WcHHMCkbNncyguLuaRRx4hJycXADs70OnM/1dX61i8IZVFF3LZihIDAAAgAElEQVTQoEBpK+H10c6MjR3YqOcokUjoEGhLh0Bb7utkzyNflnIyT8+oj4tYOsmVKF9zLJ1UKuXixRLOncslLi4SsGX9+p24uLjRu3cC/8/encdFVfV/AP8MM8MOAgKyKSIioLiWZqa55JZpmmZlai6ZmaVZmlZakstTlvbkU1Faqbm0WOqTptljuVSWtmgoKIssCsi+7zAz9/cHv7lxmUEQmTsDfN6vFy/xnnvPPffOdw5z5px7jkIBJCXFo1OnLnB29kWPHv4IC1MAqJnyu2vXrk0u49GoDOSVVsHL2RbDg288dJSIiFqu2l/YHjlyBMOGDQMATJs2Dffccw8mT54MAIiIiMAjjzxijiISEVm8JjXU2rVrh6ysLADATz/9BDc3N/Ts2RNATYOh9lh0czty5AiOHTsmNs4AYPjw4bh69SpeeOEFPPzwww1OCHL1arrk/05ODujevQucnOzRp083bN26VWykdejgiWXLHoO/fyec+uUMdl5oh3K/+wAAga7V+PhxbwS4m2a8tE6ng5WVFfp0tMY748rx4teFSC32xNSITNxr8xcWzxyNLl26oahIiYSEdPTt2xtKpQp9+7rA2toaQAfY2ADTps0S87S1tW228n129hoA4OH+HaFScqgLEVFrVFxcjOjoaABAv379xEaa3qRJkxAQEICkpCT89ttvjRo2T0TUFjWpxTBgwABs2LABarUamzdvxujR//QOJSYmwsfHp9kKeKsOHDgAR0dHTJ06VbJ9zpw5ePTRR3H27FkMGjTohnn4+XUw2BYdXTNco7y8XLx+W1tbbN++HR06dEB8pganfu+Gcr+aIYW2yfswQJmJAPc1zXFZ0Ol0iIlJhpdXe7i5uSAxMRPHj5/H7NmPQqVygLY4Ey8Ns8OXqW74KS4HX6X6oEusExYFeCAw0BOBgX3EvDp2NN2kHnpXskpwNikPViaeRKSlysjIgFarhVKpFHuriUyJMUemoh9KDwAODg4ADONNv12r1bKhRibBOo5agyY11NauXYtRo0Zh4sSJcHV1xcqVK8W0//73vxgwwPyTROhFRUUhNDTUYNafXr16iekNNdR69uyEkpISODr+s4B1VVUVkpOTkZiYiLKymmfYhg0bhg4dOiCnRIv7381GuUYBF1sdrP5YB0XG74iprGmg5OcXIDu7pkfSy8sLzs7OYr5arRYJCQkAAIVCCUFQITDQD0qlEmfOXEZ8fApuu60vBMEav/+ejYEDu8HNrRc8PErQs6cbIiNzoVIVonv3/vDw8MAYrQ6rD0Zjz1ng7VOpiE7Lx7ODvdE9RDotfkpKCvLyamacDA4OlvSklZSUiGXy9PQ0WIj60qVL4hS43bt3l6Slp6cjKysLH58rAACMCOkA73Y166VVVFQgNjYWAODm5mbQYIyLi0N5eTkUCoX4eullZ2fj+vXrAAB/f3/JVM8ajUb8NtfZ2RkBAQGSYxMTE8WHPnv06IH//e9/2Lp1KyIjaxYMDwkJwdSpU3H//ffD3d1dcqx+H3t7ewQFBUnSrl27hvz8fDEPGxsbMa2oqAhJSUkAgA4dOhj80UhNrXl2T6FQGKRdv34d2dk1Q227du0qfsABgLKyMsTHxwMA2rdvb7DgcWxsLCoqKqBUKhEWFiZJy8rKQnp6TU9w586dxUlvgJr4vny5ZubRdu3aoXPnzpJjExISUFJSAgDo2bOn5IHZ3Nxc8Xr8/Pz+f+bPGjqdDhcvXgQAODo6IjAwUJJvcnIyCgtrZuAMDQ39/57eGoWFhUhOTgYAeHt7w9PTU3JsVFQUtFotbG1txRlp9VJTU5GbmwsACAoKEp+rBIDS0lJcuXIFAODh4WHwRVNMTAwqKyuhUqnQo0cPSVpGRgYyMzMBAAEBAZL3cmVlJWJiYgAArq6u6NSpk+TY+Ph4lJWVAYDB1NE5OTlIS0sDAHTq1Amurv8sx6HVahEVFQWg5mHlLl26SI5NSkpCUVERgJr4rl33FRQU4OrVqwBqXgutVgu1Wi3G3IULFyAIAuzs7NCtWzdJvqauIwAgMDBQUs9aQh0RFhYmGXWRn5+Pa9dqRgf4+vrKVkdER0dDo9HAxsbGYE0oS6sjXFxc0KFDB2RmZuL06dPiOfQxEBUVJcZwSEiIpP5gHfEPc9cRPj4+8PCQPqbQkuqIzMxMVFfXLMmTlZXFOsKC6gigdX2O0L9PTaFJDbU+ffrg6tWriImJQdeuXSUVz8KFCw0Cz5xyc3MNKimg5g2tT2+IVqtBcXEZdDrA2bmmgsjKykNJSRk0Gg10OkCjAaysar4RtKoqwWi/HKRWtcPiOwqx5Jvz0GhrJu3Izy/CL7/8DT8/F9jYWCMyMgFarQLDht0BwAp7934HtVqBbt26oqwMuHAhAZ6ed8LFpQO8vd1RWBiDsrKagJ0+fZ4YgE5OTggKCkJiYiKqq6uh1dZMIqJSWmHdpDAEuDtg/eHL+P5KKbJL07Cjcxc426prXaNWrNDqTgSq0+nENH2+tVVXV4vphvdOi5KKKpxILK0p8x3//CESBOGG+Wo0GlRXVxv9prV2eXU66YyctfOt/c1u3XwrKysxZcoUHDx4UJKenJyMo0ePYsaMGfj0008llUdj8tWXob4yGbvW2vvd6FpvNl/9a2Ms7Ub56o9tKF9jasdL3demdr7Gjq9dproautaqqirodDqjQ5mb4x7eymvTULzU1dh7eLNxWDtfY7NR6a/T2JTppqwjGvNeNkcdYYypXpvGxKFGozH6ullaHaFQKDB16lS899570Ol0GDNmDObNm4eQkBBcvHgRH374objvzJkz682XdYR564j6rrUl1RG1829qvpby2rSmOqJ2vsa0xM8RptLkh6Xs7e3Rr18/g+333XffLRXIFG40pKIxwy0EwQN//nkVVlZK3HffSAAKHDp0DL6+nvD27ofsbBsUFVVi165TWLzYFpcupSJYl4nHhwfgyOGzuHy5GgoF0KvXAGi13ZCfnwwPj2BYWTnAzk7/IaPmW4qwMC1ycnIgCG5wd3fA3LnjxG+7/P39odPpxG/C6r4ZraysxMqzdpApFArMG9IFuuJsbDqdi3Pp5Xjwg1/xyaz+6OhmL+6vP7buPakvXz19mrGKW6lU4o/0apRUC/B2tsHd3f75dk6hUNwwX5VKBbVabfQ1ql3euvehdr7G1k/R57t+/XpJI83JyQlarVb8ZmT37t0ICAjAmjX/DFdtTL76MtRXJmPXam1tDZ1OZzTfG702DeWrVqvFoR83k6/+2BvlW9/6R7XjxdgfjIbipb58G3MP9T1EN8q3KffwVl+bhuKlrsbew5uNw9r5urq6ol27dpJ91Gp1vesOmbKOaMx72Rx1hDGmem0aE4e196nNEuuIuXPn4uDBg7h27RquXr2KV155xWCf4OBgow011hEQt5mzjqjvWltKHREQEIDU1FRUVVUZvUesIxqfLz9HNHwPTaVJ66gBQF5eHv7973/jxx9/RG5uLtzd3TFy5EgsWbJE0gVvbnfeeSe0Wi1+//13yfbo6GiEhYVhy5YtmD9/vri9vrUQiouLIQiC2DWel5cHe3t72Nra4vHHH8e2bdsA1HQpL126FEFBQfjhhx/w9ttvi5OrHD9+XLKsgTlcTC3E45/+gaziSrg7WuOjx25H306mfb0e/OBX/Hk1H0tHdcOieyyjtzUpKQmBgYEQBAH29vb45JNPMHXqVGg0Gmzbtg2LFi2CVquFg4MD0tLSJN35RETUsLS0NDz44IM4c+aMQdqIESPwxRdfGAytIyJqaUy5jlqTGmppaWm46667cO3aNYSGhsLHxwfXr1/H5cuX4e/vj9OnT1vMhCLz58/H559/jvz8fMm3F1988QWmTZuG06dPS55Ra8rNvn79OgYMGCCOFzdm2rRp2LNnj0U8MH29oBxzd/yBmIxi2Kis8O+H+2BcT++GD2yCuMxijP73T1BaKfDriyPQwbn5ZpG8FevWrRO/4V27di1WrVolSV+wYAG2bNkCANi+fbu4/AQRETWeIAg4ffo0vvrqK+Tl5cHT0xOPPPII+vfvb+6iERE1C4tb8Prll19GeXk5zp49i+joaBw7dgzR0dE4e/YsysvL8fLLL99ywZrLAw88gJKSEuzbt0+y/dNPP4WPjw/uuOOOWz6Hj48PTp06ZfQPj0qlwjPPPINPP/3UIhppAODjYoevnxqE4cEeqNTosHDPOXxwMsEkY2z1U/KPDPW0mEYa8M/kHQAwduxYg/Ta21JSUmQpExFRa6NQKDB48GBs3rwZu3btwqZNm9hIIyJqpCY9o3b06FGsW7fOoLLt378/1qxZY3Qsurnce++9GDVqFJ566ikUFRWha9eu+Pzzz3H06FHs3r27wTXUGiswMBBnz57FmTNncPjwYRQXF6NTp06YNm2axfQu1uZoo8JHj92OdYcvY8evydhwNAbJOaVY90AY1M20xll5lRb7ztU0iKbf4d8seTYXJycn8feYmBjcfvvtknT9TEUAJJPlmEplZaU4RXXtWZ5MSavV4ujRo9izZw/S09Ph6uqKSZMm4aGHHmrW9fPIMpkj5qjtYryR3Bhz1Bo0aeijra0tDh06hFGjRhmkHTt2DBMmTEBFRUWzFLA5lJSUYOXKldi7dy/y8vIQEhKCl156CY888ojBvqbsvrRUO04nYc23l6ATgEGB7fHB9NvQzt74g5g3Y++fKVj+9QV0crPHyWXDxFkxLcHJkyfF5wW7deuGn3/+WZymNTExEXfeeac4HXBcXJzJZzKNjIwUpyauOw2zKaSlpeH+++/HuXPnDNL8/PzwzTffGJ0siFoPuWOO2jbGG8mNMUdysbihjwEBATh8+LDRtO+++85gvQlzc3R0xObNm5Geno7KykpERkYabaS1VbPvCsDHs26Hg7USvybk4oEPTuNUXPYtD4XUD3t8ZEBHi2qkAcDQoUPRt29fADUNscDAQEyfPh0PPvggunfvLjbSxo8fb1HLTTSH0tJSjBo1ymgjDagZFjpq1ChxrREiIiIikp8yPDw8/GYPKisrw/r165Gbmyv2QsTFxeGtt97Cu+++i+XLlze4iLSlEgRBnKVRz8bGxmKeLzOVAHdHDA/2xI+Xs5CSX47/nk/DidgstHewRoC7w01f/6XrRdh0LA4qKwXefqgPHGyavBKESSgUCowYMQJff/01SkpKUFVVhYsXL+Ly5cvi2hrBwcE4cOCAZHFNU6mqqoKNjQ0cHBxMPsPk1q1bsXPnTgA1C1Tu2LEDW7duxb333ovo6GikpaWhvLwclZWVGD9+vMnKodPpcOLECRw8eBB//fUX1Gq1wSKoZDpyxhwR443kxpgjuZiy7dCkoY+CIGDBggX46KOPJIUQBAHz58+XLGbZ0rTFoY+15ZRU4oOTCdhz9ioqqmsWGQzxcsLTw7tiXE9vKBvZM7bqvxex+8w13NfTG+9Pt9whdGlpaXjttdewZ88ecf00FxcXzJ07FytXrhQXRm9N+vXrh/PnzwMA/vrrL8kQx9zcXPj7+6O0tBSOjo7Iyckxydj+I0eO4Nlnn8WVK1ck2wcOHIgtW7agV69ezX5OIiIiouZmcdPz68XGxuLEiRPIzc1F+/btMWLECHTr1u2WC2VObb2hppdTUoltvyRh529XUVKpAQB0cXfAwuFdMbGPzw0nHCmt1OCOf/2IkkoN9sy7A3d1dZer2E1WWlqK+Ph4WFlZoVu3bq16Mg0nJyeUlJQgMDDQoKEEAJMmTcI333wDoGa9uc6dOzfr+fft24eHHnoIOp3OaLqzszN++uknPlNAREREFs/inlEDamaMO3funOTnr7/+gkajueVCkfm5O9pg+dgQnF4xAs+N7IZ2dmok5pRi2VeRGL7xJHafuYpKjdbosYcir6OkUoMAdwfc2aW9zCVvGgcHB/Tp0we9evVq1Y00AGIPWV5enkFXPQBkZGSIvzf3vSgtLcUTTzwhNtLuuusufPTRR3jnnXcQHBwMACgqKsKTTz7ZrOclIiIiamma1KOWk5ODsWPH4ty5c1CpVGjfvj1yc3Oh0WjQt29ffP/993B3t/xeFGPYo2ZcSaUGu89cxcc/JyKnpObDfQdnG8y/OxCPDugEO+t/ljmY8O4vuJhWiJfHhWD+3YHmKjLVY+rUqfj6668BAJs2bcLzzz8vpn3//ffiGnKhoaGIjo5u1uczt23bhscffxwAMHHiROzfv198b5WVlaFfv36IjY0FYDgsk4iIiMjSWFyP2nPPPYfY2Fjs2bMH5eXlSE9PR3l5OXbv3o34+Hg899xzt1wwsiyONiosGBqIn5ePQPiE7vBytkVmUSXWfnsJgzccR8TJKyiuqMbF1EJcTCuEtdIKD97W0dzFbjHi4+Nx+fJlxMfHm/xcixYtEn9funQpxo0bh40bN2LGjBm47777xLRnnnmm2SfR+fXXX8Xfn3/+eUklZm9vj6eeesrovtT85Iw5IsYbyY0xR61Bk6biO3ToENatW4dp06aJ25RKJR599FFkZWWhCRNJUgthZ63E7LsCMO2OTth/Lg0RJ68gJa8cbx6NxYcnE+Dnag8AGBvmBTcHazOXtuUoKysT13sxtbvvvhsvvPAC3nrrLQA1S2p89913kn0mTJiA+fPnN/u5aw+NNjabZu1tHEZtWnLGHBHjjeTGmKPWoEk9aoIgoEePHkbTwsLCbnn9LbJ8Niolpg3ohBNLh+HfD/dGoIcDiio0uJReBAB49I5OZi4h3ciGDRsQERGBjh2lvZ6urq5YuXIl9u3bB5Wq+ZdUCAsLE3/fsWOHJE0QBHHZgLr7EhEREbU1TXpGbcqUKQgKCsIbb7xhkLZixQrExMSIs8a1NHxGrWm0OgHfR2dg++kk+LrY4d8P92n1a8+1BhqNBqdPn0ZGRgZcXFxw9913w87OzmTny8rKQseOHcVJTBYtWoQ5c+agtLQUb7/9Ng4cOAAA6NKlizgLJxEREZGlsrjp+f/++29MnjwZU6ZMwaOPPgovLy9kZGRgz5492L9/P/bv349Onf7pUWlJa1GxoUZkWv/617+wcuXKetMVCgW++eYbTJgwQcZSEREREd08i2uo1T5x3QWv624DaqbybynYUCMyLUEQ8PrrryM8PBzV1dWSNBcXF2zduhVTp041U+mIiIiIGs/iGmrh4eE3Naxt9erVN3sKs2FDjUgemZmZ2LlzJy5evAiVSoVBgwZh2rRpcHBwMHfRiIiIiBrF4hpqrRkbamQOOTk50Ol0sLKyarFrEFLLwpgjOTHeSG6MOZKLKdsOzT+tGxHdtLS0NHEaYf5BITkw5khOjDeSG2OOWgM21KhZxMbGYuvWrTh//jwUCgUGDBiA+fPnIyAgwNxFIyIiIiJqcTj0sQ4Ofbw5Op0OK1aswMaNGw3SrKysEB4ejlWrVnGq/gbk5+eLQzRcXV3NXRxqAxhzJCfGG8mNMUdy4TNqMmrpDTWtVouioiLY29vDxsbG5OcLDw/Ha6+9dsN93nnnHTz77LMmLwsRERERkZxM2XZoGa0PalB8fDwWLFgAFxcXuLm5wd7eHvfeey/+97//meycOTk54qLnVlZWWLNmDTIyMpCamooVK1aI+61evRqlpaUmK0dVVRW+/PJLzJ07Fw8//DBWrFiBS5cumex8RERERESmxh61Olpij9rx48dx//3319sYWr16NcLDw5v9vP/5z3/EnrLFixdj8+bNkvSZM2di9+7dAIBdu3ZhxowZzV6GM2fOYOrUqUhNTTVIe/TRR/Hxxx/Dzs6u2c9LRERERMQeNapXRkYGHnjgAbGR5ujoiJEjR6Jjx47iPq+99hr27dvX7OeOj48Xf3/wwQcN0msvWlx73+YSHR2N0aNHG22kAcBnn32G6dOnoyV8F6HVasUfIjkw5khOjDeSG2OOWgM21Fq4LVu2oKioCABw7733IiUlBceOHUNSUhJef/11cb8333yz2c9du6cqPT3dIP369evi77a2ts1+/pUrV4rfYAwaNAjff/894uPjsWnTJnHR5AMHDuDEiRPNfu7mFhUVhfPnzyMqKsrcRaE2gjFHcmK8kdwYc9QasKHWwn399dcAAIVCgS1btsDFxQUAoFQqsWLFCvTq1QsA8PvvvyMlJaVZzz1ixAjx9w0bNqCsrEz8f2FhIf79738b3bc5ZGRk4NChQwAAb29vHDt2DKNHj0bXrl3x/PPPIyIiQtz3o48+atZzExERERGZGhtqLVxubi4AwMvLSzLcEYC4nlndfZvL6NGj0a1bNwDAuXPnEBoailWrVmHFihUIDQ1FXFwcAGDAgAGScjSH2NhY6HQ6AMCUKVNgb28vSX/kkUegUtUsExgdHd2s5zYFJycnODs7w8nJydxFoTaCMUdyYryR3Bhz1BpwwesWztPTE+np6UhPT0diYiK6dOkipgmCgNOnT4v/9/DwaNZzW1lZ4bPPPsPw4cNRXFyMa9euYf369ZJ92rdvjx07djT7Omr6RhgAcehnbaWlpdBoNAAAtVrdrOc2hdqvG5EcGHMkJ8YbyY0xR60Be9RauIcfflj8/fHHH0dmZiaAminrV61ahcuXLwMABg8eDF9f32Y//2233YZff/0VY8aMkWy3srLC/fffjzNnziA0NLTZz9u7d284OjoCAL766iskJiZK0jdt2iT+Pnjw4GY/PxERERGRKXF6/jpa2vT8OTk5CA4ORl5eHgDA2toaffr0QUJCgmSo46FDhzB+/HiTliUpKQl///03FAoFbr/9dvj5+Zn0fM888wzef/99AICbmxsWLFiALl264ODBgzh48CCAmuGfly5dQkhIiEnLQkRERERtjynbDmyo1dHSGmoA8Ntvv2HcuHEoKCgwmr5x40YsXbpU5lKZXl5eHu666y7ExMTUu8+6deuwcuVKGUtFRERERG0FG2oyaokNNQBISUnBu+++i507dyIzMxN2dnYYP348lixZgkGDBpm7eCaTnZ2Np59+Gvv27RMnFwFqJlcJDw/Hk08+acbSNV5SUhI0Gg1UKhUCAgLMXRxqAxhzJCfGG8mNMUdyMWXbgZOJtBIdO3bEm2++iTfffBMajQZKpbLZJ/CwRB4eHti7dy9SU1Px448/oqSkBJ07d8bo0aNbxCQiekVFRaiurm5RZaaWjTFHcmK8kdwYc9QasKHWCtWeEbGt8PPzw6xZs8xdDCIiIiKiZsGhj3W01KGP1LJpNBoIggCFQtEmG9okP8YcyYnxRnJjzJFcOPSRZJGVlYXjx4+jpKQE/v7+GD58OCs3mfA+k9wYcyQnxhvJjTFHrQGjmJCfn48lS5bg888/R3V1tbjdz88Pq1evxrx588xYOiIiIiKitocNtTauqKgIw4cPR2RkpEFaamoqnnjiCWRlZeHll182Q+mIiIiIiNomPqNWR1t7Rm3ZsmXYtGkTAMDZ2Rnz5s1D165dcfjwYRw+fBhAzaLRUVFR6N69uzmL2qoVFBRAp9PBysoKLi4u5i4OtQGMOZIT443kxpgjufAZNTKJ8vJyfPLJJwAAa2trnD17FiEhIQCAp556CqtWrcL69eshCAIiIiLw3nvvmbO4rdrVq1fFaYT5B4XkwJgjOTHeSG6MOWoNWmc3ETVKVFQUCgoKAAAPPPCA2EjTW7ZsmfhtwE8//SR7+YiIiIiI2ir2qLVhVVVV4u9ubm4G6U5OTrC2tkZFRYVkX2p+Pj4+0Gq1UCqV5i4KtRGMOZIT443kxpij1oANtTYsKCgISqUSWq0W+/fvx1tvvQUHBwcxff/+/aioqAAAhIaGmquYbYKHh4e5i0BtDGOO5MR4I7kx5qg14NDHNszT0xP3338/ACAzMxNjx47F8ePHkZKSgg8++ABPPPGEuG/t34mIiIiIyLQ462MdbW3Wx+joaAwcOBAlJSX17jNmzBgcOXKk1d4DIiIiIqKmMGXbgZ+827gePXrgf//7H3x8fIymT5o0CV9//TUbaUREREREMmKPWh1trUdNr7KyEl9//TWOHDmCkpIS+Pv7Y9asWbjtttvMXbQ24cKFC+I0wr169TJ3cagNYMyRnBhvJDfGHMmF66iRydnY2GD69OmYPn26uYvSJgmCIP4QyYExR3JivJHcGHPUGrChRmQB7OzsoFaroVLxLUnyYMyRnBhvJDfGHLUGHPpYR1sd+khERERERDeHk4nUcfz4ccydOxchISFwcHCAr68vJk6ciL/++svo/ufOncPIkSPh6OgIFxcXTJ48GYmJiTKXmoiIiIiIqHFaZEPtgw8+QHJyMp599lkcOXIEmzdvRlZWFgYOHIjjx49L9o2JicGwYcNQVVWFvXv3Ytu2bYiLi8OQIUOQnZ1tpisgIiIiIiKqX4sc+piVlQVPT0/JtpKSEnTt2hVhYWH44YcfxO0PPfQQTpw4gYSEBDg7OwMArl69iqCgIDz33HPYsGGDJB8OfSQiIiIiosYwZduhRTbU6jNixAikpaUhNjYWAKDRaODs7IzHHnsMH374oWTfMWPGICkpCXFxcZLtbKiROaSkpECr1UKpVKJjx47mLg61AYw5khPjjeTGmCO5cHr+RigsLMS5c+cwYsQIcVtCQgLKy8uNrp/Rq1cvHDt2DBUVFbC1tb1h3tHR0fD39xd75ICadcdiYmIAAK6urujUqZPkmPj4eJSVlQEAevfuLUnLyclBWloaAKBTp05wdXUV07RaLaKiogDUvMhdunSRHJuUlISioiIANYtV157NqKCgAFevXgUA+Pj4wMPDQ3LshQsXIAgC7Ozs0K1bN0laSkoK8vLyAADBwcGSe1JSUoKEhAQAgKenJ7y9vSXHXrp0SVyrpHv37pK09PR0ZGVlAQACAwPh6OgoplVUVIiNajc3N4OKNC4uDuXl5VAoFAavYXZ2Nq5fvw4A8Pf3h4uLi5im0WgQHR0NAHB2dkZAQIDk2MTERPENFRYWBqVSKabl5+fj2rVrAHyN4mUAACAASURBVABfX1+4u7tLjo2MjAQA2NvbIygoSJJ27do15OfnAwBCQkJgY2MjphUVFSEpKQkA0KFDB3h5eUmOzczMBAAoFAqD+3D9+nVxmG7Xrl3h4OAgppWVlSE+Ph4A0L59e/j5+UmOjY2NRUVFBZRKJcLCwiRpWVlZSE9PBwB07twZ7dq1E9Oqqqpw+fJlAEC7du3QuXNnybEJCQkoKSkBAPTs2VNSGeXm5iI1NRUA4Ofnh/bt24tpOp0OFy9eBAA4OjoiMDBQkm9ycjIKCwsBAKGhobC2thbTCgsLkZycDADw9vY26FWPioqCVquFra0tgoODJWmpqanIzc0FAAQFBcHe3l5MKy0txZUrVwAAHh4eBou/x8TEoLKyEiqVCj169JCkZWRkiK9dQEBAi6ojdDodtFot1Gq1GHOsI2pYYh0RHR0NjUYDGxsbhISESNJaQh2Rl5cnxoC9vT3rCFh+HdHSP0foYw6oed+yjrDsOqIlf47Qv09NodU01J5++mmUlpZi5cqV4jb9DXVzczPY383NDYIgID8/36DCqEuj0RiswyEIglgBaDQao8fo0+vS6XRimk6nM0hvbL51y1Q7X61WazRfQRCgVqsN0rRa7S3lW9+11s637rXWvofG8tVfq0KhaHK+lvLaNHSttfer60avTUP56l8bY2k3yld/bEP5GtPYe2js+Nplqquha62qqoJOp5P8wTSWb1Pv4a28NpYSh7XzNfZNH+sIab7GmKuOqK6uhkajMfq6sY6AWEbWEf+UqTH5tvbPEbXzb2q+lvLasI4wzNeS6ghTMXtD7eTJkxg+fHij9j1//jz69OljsP2VV17Bnj178O677+K2224zSDf2R7wxaXoqlcpgP4VCIVZUxtboUKlURisyoOYDkj7N2BuqsfnWLVPtfI0FmVqthiAIRvNVKpW3lG/tf+vLt+611r6HxvLVX6ux16ix+VrKa9PQtdrY2ECr1Uq++dG70WvTUL5qtVoc+nEz+eqPvVG+t3oPG4qXuhq6Vmtra7GH6Eb5NuUe6nS6m37fWGIc1s7Xw8MDrq6ukn1YR0jzNcZcdYT+Ok0R33LUEcHBwRAEAQqFAqWlpawjYJlx2Jo+RwQHByM5ORkVFRVG7xHriMbny88RDd9DUzH7M2rp6ek4fPhwo/adPHmyQe/Ya6+9hvDwcKxfvx4vv/yyJC02NhYhISF4//33sXDhQknaCy+8gE2bNqGsrEzSPc9n1IiIiIiIqDFa9TNq3t7emDdvXpOO1TfSwsPDDRppQM1YZjs7O3Esa20XL15E165dG3w+jYiIiIiISG4ttpto7dq1CA8Px6pVq7B69Wqj+6hUKkyYMAH79++XtHSvXbuGEydOYPLkyXIVl4iIiIiIqNHMPvSxKTZt2oRly5Zh7NixRhtpAwcOFH+PiYlB//790a9fP7z44ouoqKjAq6++iry8PPz9998GMxpx6COZQ0lJCXQ6HaysrCQzWhGZCmOO5MR4a1vKy8uRl5dndCIIuWi1WvG5SGPPIxE1lpWVFdzc3GBnZ2c0neuo1TFs2DCcOnWq3vS6l/TXX39hxYoV+O2336BSqTBixAhs3LjRYEpPgA01Mo/IyEhxauK60zATmQJjjuTEeGs7tFot0tLS4O3tXe+kDnIoKysTG2q1p1InulnV1dVIT0+Hr6+v0UZ/q35GrSlOnjx5U/vfdttt+OGHH0xTGCIiIiICULM0kru7u1kbaUTNSa1Ww93dHbm5uQZrr5lai2yoEbU2np6e9U5/S2QKjDmSE+Ot7aisrDR4rMQcjE1/T9RUdnZ24vrMcmIUE1mAhhZdJ2pujDmSE+OtbTHlulKNZWxdUqKmMldM88ErIiIiIiIiC8OGGhERERERkYVhQ42IiIiIiMjCsKFGZAEuXbqEyMhIXLp0ydxFoTaCMUdyYryR3MrLy1FWVoby8vJbzkuhUDTq52ZnJb8VFRUVUCgUWLZsmWznJPlxMhEiC1BdXY3q6mpzF4PaEMYcyYnxRnITBMFgXd2m+u233yT/X7t2LU6cOIHjx49Ltnfv3r1Zzkekx4YakQXQrzfDdWdILow5khPjjeSmn6WvOWbrGzhwoOT/Hh4esLKyMthen6qqKiiVSi5PQTeNQx+JLED37t3Ru3dvfhtHsmHMkZwYbyQ3Ozs72Nvbw87OTtbzHj16FAqFAl9++SUWL14Mb29v2NraIiUlBenp6ViwYAFCQ0Ph4OCADh06YOTIkQY9dkDN0M1XX30VwcHBsLGxgbu7O+655x788ccf9Z5bp9Nh6dKlsLa2xs6dO015mSQTNtSIiIiIyKTefvtt+Pn5wc/Pz+BZrqSkJDFt0aJFBsfef//9YnpdO3bsENP2798vSSsuLhbTpk+f3qzX05ClS5ciJycHH3/8Mb755hu4uroiJycHarUar732Go4cOYJPPvkEvr6+GDJkiKSxVlVVhVGjRmHDhg2YPHkyvvnmG2zbtg39+/fHtWvXjJ6vvLwcU6dOxSeffIKjR4/isccek+tSyYQ49JGIiIiITKqoqAhpaWkAgMrKSkmaVqsV0/Lz8w2Ozc7OFtPrKi0tFdPKysokaYIgiGk5OTm3dgE3qUePHvjss88k23r27Il3331X/L9Wq8XYsWORkJCAd999F3feeScA4NNPP8Xp06exa9cuzJgxQ9z//vvvN3qu7OxsTJgwAenp6Th9+jR69Ohhgisic2BDjYiIiIhMytnZGb6+vgAAGxsbSZpSqRTTXF1dDY718PAQ0+tycHAQ0+zt7SVpCoVCTHN3d7+1C7hJU6ZMMdgmCALee+89bNu2DZcvX5Y0WEtLS8Xfv/vuO7Rr165RvYDx8fEYOHAgXFxccObMGXh7ezfPBZBFYEONyAKkp6dDq9VCqVSykiVZMOZITow3ev755/H8888bTQsICEBqamq9xx48eLDetNmzZ2P27NkG26uqqmBjY4PExERYW1vfdHlvlbE4f/3117Fy5UosWrQI69evh7u7O6ysrLBixQpJj2F2djZ8fX0bNRHKr7/+ipycHGzatInvrVaIDTUiC5CVlYXq6mqo1WpWtCQLxhzJifFGctNoNBAEAQqFwiwNNWONrN27d2Ps2LH4z3/+I9leWFgo+b+HhwcuXrzYqPPMmjULtra2WLp0KXQ6HddVa2U4mQgRERERkYkpFAqDYZ9//vknzp07J9l27733orCw0OAZt/qsW7cOb7zxBl544QWEh4c3V3HJArBHjcgCBAYGQqfTwcqK352QPBhzJCfGG8mtboPIEowfPx4bN27EunXrMGjQIFy6dAlr165F586dJfvNmjULn376KebOnYuoqCgMHToUGo0Gv/32G/r164fJkycb5L1ixQo4OTnhmWeeQWlpKd566y2ZropMiQ01Igvg6Oho7iJQG8OYIzkx3khulri4dHh4OKqqqhAREYH169cjLCwM27dvx86dO/H333+L+1lbW+PYsWNYt24dvvzyS2zcuBHOzs7o27cvJk2aVG/+CxcuhKOjI+bOnYuSkhJEREQ0y4LfZD4KQRAEcxfCkuh0OhQXF0u2OTk58VtAIiIiogakpKSgY8eO5i4GUbOrL7ZN2XZg64OIiIiIiMjCcOgjkQWoqKgQZ6eytbU1d3GoDWDMkZwYbyQ3nU4n/s5RUdRSsaFGZAFiY2PFqat79+5t7uJQG8CYIzkx3khutb8cqLsQNlFLwa8YiIiIiIiILAx71IgsgJubG7RarUXOUkWtE2OO5MR4I7mpVCqxR42opWJDjcgCcIYskhtjjuTEeCO5WVtbm7sIRLeMQx+JiIiIiIgsDBtqREREREREFoYNNSIiIiIiIgvDZ9SILEBcXBw0Gg1UKhW6detm7uJQG8CYIzkx3khuXLuPWgP2qBFZgPLycpSVlaG8vNzcRaE2gjFHcmK8kdx0Op3401x27NgBhUJh9GfZsmUAAD8/P8ybN0885sqVK1AoFNi9e7e47ZdffkF4eDiKioqarWzUOrFHjcgC1K7sieTAmCM5Md6oNdm+fTtCQkIk23x8fAAAhw4dQrt27W54/C+//ILXXnsN8+bNg7Ozs8nKSS0fG2pEFqBXr17mLgK1MYw5khPjjeRmb29vsrzDwsJw++23G03r27evyc7bkLKyMpNeN8mPQx+JiIiIyKTKqjQW8WNqdYc+1rVq1Sq89NJLAGrWF9T3NP/yyy/iPp9//jkGDhwIe3t7ODk5YezYsYiMjJTkM2PGDLi4uCAyMhKjRo2Ck5MTRo8ebZqLIrNhjxoRERERmVT3V783dxEAAMlv3HfLeWi1Wmg00kafStW4j9QLFixAfn4+IiIicPDgQXh4eAAAevToAQBYs2YNwsPDMW/ePLzyyiuorKzEm2++icGDB+PPP/9EcHCwmFdFRQUmTpyIp556Ci+99BK0Wu0tXxtZFjbUiIiIiIgaaeDAgQbbqqurG9VY8/PzQ8eOHQHUDJP08/MT05KTk7FmzRosWbIEb7/9trh91KhR6Nq1K9asWYM9e/aI2ysrK7F27VrMnDnzVi6HLBgbakQWIDs7G1qtFkqlUvx2jciUGHMkJ8YbXVozRtbzVVdXi7+r1epmzXvnzp0IDQ2VbGtsj9qNHD16FFqtFo899pikx87Ozg5DhgzByZMnDY6ZPHnyLZ+XLBcbakQW4Pr166iuroZareaHGJIFY47kxHgje2t5P3KWaarEddSa+9yhoaH1TiZyKzIzMwHUPyGJtbW15P/Ozs5wcHBo9nKQ5WBDjYiIiIjIzNzd3QEA//3vf+Hr62uQXnd5Cy530fqxoUZkAfz9/aHT6WBlxYlYSR6MOZIT443kVrf3yZLY2NgAgMEC8GPHjoVSqURCQgImTpxojqKRhWFDjcgCuLi4mLsI1MYw5khOjDeSW3M8M2YqPXv2BAC88847mDFjBtRqNUJCQhAYGIjVq1fjxRdfxJUrVzBmzBi4uLggIyMDv//+O9q1a4dXX33VzKUnOVluFBMRERERtTL33HMPli9fjl27duHDDz+ETqfDzz//jMGDB+OVV15BWFgYNm/ejD179qCyshLe3t7o378/xo8fb+6ik8wUgiAI5i6EJdHpdCguLpZsc3Jy4nANIiIiogakpKSI088TtSb1xbYp2w7sUSOyABqNRpydypKHa1DrwZgjOTHeSG6CIIgxx0k3qKVibUlkAaKjo8Wpq3v37m3u4lAbwJgjOTHeSG7l5eX/TM9vb2/u4hA1CcfzERERERERWRj2qBFZAGdnZ2g0Gg4JItkw5khOjDeSm1KpFHvUiFoq1phEFiAgIMDcRaA2hjFHcmK8kdz0a5URtWStYujjxx9/DIVCAUdHR6Pp586dw8iRI+Ho6AgXFxdMnjwZiYmJMpeSiIiIiIiocVp8Qy0tLQ3Lli2Dj4+P0fSYmBgMGzYMVVVV2Lt3L7Zt24a4uDgMGTIE2dnZMpeWiIiIiIioYS2+obZgwQLcfffdGDVqlNH0V199FTY2Nvj2228xbtw4TJ48GYcPH0Z2djY2btwoc2mJiIiIiIga1qIbart378apU6cQERFhNF2j0eDbb7/FlClT4OzsLG739/fH8OHDceDAAbmKSnRDiYmJiIuL45Bckg1jjuTEeCO5VVZWoqKiApWVleYuClGTtdjJRLKysrBkyRK88cYb8PPzM7pPQkICysvL0atXL4O0Xr164dixY6ioqICtre0NzxUdHQ1/f39JY6+yshIxMTEAAFdXV3Tq1ElyTHx8PMrKygDAYM2YnJwcpKWlAQA6deoEV1dXMU2r1SIqKgpAzarmXbp0kRyblJSEoqIiAECPHj0kM2gVFBTg6tWrAAAfHx94eHhIjr1w4QIEQYCdnR26desmSUtJSUFeXh4AIDg4WHJPSkpKkJCQAADw9PSEt7e35NhLly6J6+N0795dkpaeno6srCwAQGBgoOQ5woqKCsTGxgIA3NzcDFZ7j4uLQ3l5ORQKhcFrmJ2djevXrwOoaXi7uLiIaRqNBtHR0QBqZhqr+xB7YmKiuIJ8WFgYlEqlmJafn49r164BAHx9feHu7i45NjIyEgBgb2+PoKAgSdq1a9eQn58PAAgJCZE8yFxUVISkpCQAQIcOHeDl5SU5Vn/vjc1Odf36dXGYbteuXeHg4CCmlZWVIT4+HgDQvn17g/dCbGwsKioqoFQqERYWJknLyspCeno6AKBz585o166dmFZVVYXLly8DANq1a4fOnTtLjk1ISEBJSQkAoGfPnrCy+uc7n9zcXKSmpgIA/Pz80L59ezFNp9Ph4sWLAABHR0cEBgZK8k1OTkZhYSEAIDQ0FNbW1mJaYWEhkpOTAQDe3t7w9PSUHBsVFQWtVgtbW1sEBwdL0lJTU5GbmwsACAoKkqypU1paiitXrgAAPDw8DIZRx8TEoLKyEiqVCj169JCkZWRkIDMzE0DNZAktqY7Q6XTQarVQq9ViOuuIGpZYR0RHR0Oj0cDGxgYhISGStJZQRxQXF4sxwDqihqXXEU39HKFWq6HT6SR/F7RardhgUqlUktcNkK55ZmdnJ0mrqqqCRqMBUDNBSO33o06nQ0VFhdF8tVotBEEQf6+7llp1dTWqq6sBANbW1pL7IAgCysvLAdTMHll3YpLKykpotVoAgJ2dneRvt0ajQVVVFQBArVZL6lgA4mtqZWVl8Pmzdr62trb13kNj+Tb1Hjb02lRUVECn0xnN90b3sPZrY+we6vMFbnwPb/Ta3Ow9bOi10d9DY/lWVVWhuLgYkZGRBnWE/jU1hRbbUFu4cCGCg4Px1FNP1buPvtJ1c3MzSHNzc4MgCMjPzzf4UFGXRqMR3+x6giCIwakP/rrH6NPr0ul0Ypo+SGtrbL51y1Q7X32Q1s1XEASDwNTvfyv51nettfOte62176GxfPXXaqzx0th8LeW1aehaa+9X141em4by1b82xtJulK/+2IbyNaax99DY8bXLVFdD11pVVQWdTif5A2Qs36bew1t5bSwlDmvnW/uPV+18WUdYZh1RXV0NjUZj9HVjHQGxjKwj/ilTY/I1xeeI+pZgMHZ/aqc1lN5QWlOOv9F2Y/nu2LEDc+bMAQAcOXIEd999t8FxISEhSEhIwODBg3H8+PGbLu/NlslY+s3k21CZ9Pneyjlv9tjGXGtD+aanp2PXrl144IEH0KdPn0Ydq38v3ShfY+/1G92DW2X2htrJkycxfPjwRu17/vx59OnTB/v27cOhQ4dw/vz5Rq2PcaN9GnO8SqUy2E+hUIgVlbFKSaVSGa3IgJoPSPo0Y390G5tv3TLVztfYHyK1Wg1BEIzmq1Qqbynf2v/Wl2/da619D43lq79WY69RY/O1lNemoWu1tbWFVqs1+CZLv39T81Wr1dBqtUbTbpSv/tgb5Xur97CheKmroWu1trY26CEylm9T7qFOp7vp940lxmHtfL28vAx6g1hHSPM1xlx1hP46TRHfctQRtXvrCgoKWEfAMuOwOT5H1Pe5qjGfxerbJy0tDefOnYNKpULfvn0lPa31HWtnZ4fKykqjDdmGyqRQKG5YJicnJ+zcuRNDhw6VbD916hQSEhLg5OTU4H242fvUUJmamm9Dx+rPe6O0W8m3vuOaeq36YzMyMrBmzRoEBARIGmo3OtbKyqretff0+RqLcVOu1acQTNkMbIT09HQcPny4UftOnjwZ1tbW6Nq1K2bMmIFVq1aJaQsXLsTBgweRmpoKtVoNBwcHxMbGIiQkBO+//z4WLlwoyeuFF17Apk2bUFZWJune1Ol04pAXPScnJ6MVIRERERH9IyUlxWCYclNduXIFzz//PL799ltJr8XIkSOxadMmo4+2mJK+R23evHnYs2cPMjIyJMNZZ86ciYSEBBQVFcHd3R0nT56UtXzNpby8HLa2ti16sfA///wT/fv3x/bt2zF79uxmybO+2DZp20FoYZKSkgQAN/yZOHGiIAiCUF1dLdjZ2QkLFiwwyGfMmDFCUFCQwXatVisUFBRIfrRarcmvi4iIiKilu3btWrPkc/nyZcHd3b3ez3qOjo7C2bNnm+VcjbV9+3YBgPDjjz8KdnZ2wocffiimFRQUCHZ2dsJHH30k9OjRQxg6dKiYVllZKaxdu1YIDg4WrK2tBXd3d2H27NlCVlaWJP8vvvhCGDVqlODl5SXY2toKISEhwooVK4SSkhLJfgkJCcLDDz8seHt7C9bW1oKnp6cwYsQI4fz58+I+AITVq1cbXIO/v78wa9Ysg2v6/vvvhTlz5oj3vLy8XBAEQYiLixOmTZsmeHh4CNbW1kJISIjw3nvvSfI8ceKEAEDYs2ePsHz5csHLy0twcHAQxo8fL2RkZAhFRUXCE088IbRv315o3769MHv2bKG4uFiSh06nE95//32hd+/egq2treDi4iJMmTJFSEhIkOw3dOhQoUePHsLvv/8uDB48WLCzsxMCAgKE119/Xfy8ri9P3R/9/WjM/TOmvtg2ZdvB7EMfb5aXlxdOnDhhsP2NN97AqVOn8N1334nDeVQqFSZMmID9+/fjzTffhJOTE4CaB7pPnDiB5557TtayExEREVHDZs+ejZycHAA1k8PMmjULKpUKu3btwtWrV1FSUoLp06cjNjZW9lFPzs7OePDBB7Ft2zY8+eSTAIDPP/8cVlZWePjhh/HOO++I++p0OkycOBE///wzli9fjkGDBuHq1atYvXo1hg0bhj///FOcpCM+Ph7jxo3DkiVL4ODggJiYGGzYsAG///675Hm3cePGQavV4s0330SnTp2Qk5ODX3/9FQUFBU2+prlz5+K+++7Drl27UFpaCrVajUuXLmHQoEHo1KkTNm3aBC8vL3z//fdYvHgxcnJysHr1akkeL7/8MoYPH44dO3YgOTkZy5Ytw7Rp06BSqdC7d298/vnnOH/+PF5++WU4OTnhP//5j3jsk08+iR07dmDx4sXYsGED8vLysGbNGgwaNAiRkZHo0KGDuG9GRgamT5+OpUuXYvXq1Thw4ABeeukl+Pj44LHHHkO/fv2wfft2zJkzB6tWrcJ9990HAOJkSqa4fybTLM09CzBr1izBwcHBYPvly5cFR0dH4e677xaOHDki7N+/XwgLCxN8fHwMvskQBPaokXnk5eUJOTk5Ql5enrmLQm0EY47kxHhrO5qjR+33338Xe0GCgoKEgoICMa2srEy4/fbbxfTDhw8bzaO6ulr8aS763qc//vhD7LWJiooSBEEQ+vfvL8yePVsQBEHSo/b5558LAIR9+/ZJ8vrjjz8EAEJERITRc+l0OqG6ulo4deqUAECIjIwUBEEQcnJyBADCO++8c8Oy4iZ71B577DGDfceMGSP4+fkJhYWFku3PPPOMYGtrK76f9fdiwoQJkv2WLFkiABAWL14s2T5p0iTBzc1N/P9vv/0mABA2bdok2S8lJUWws7MTli9fLm4bOnSoAMCgN7V79+7CmDFjxP/r7+/27dsl+zX2/hljjh61Vv/gVUhICE6ePAm1Wo0HH3wQs2fPRteuXfHTTz8ZTDtLZC7Xrl1DUlKSOO03kakx5khOjDe6GbV7j5577jnJ0hB2dnZYsWKF0X1rq6qqQmVlpTgde3MbOnQoAgMDsW3bNly8eBF//PEH5s6da7Dft99+CxcXF0yYMAEajUb86dOnD7y8vCTPsSUmJuLRRx+Fl5eXODmLfsIS/XIYbm5uCAwMxFtvvYW3334b58+fv+GEKY01ZcoUyf8rKirw448/4oEHHoC9vb2k7OPGjUNFRQXOnDkjOWb8+PGS/4eGhgKA2KNVe3teXp64hMe3334LhUKBGTNmSM7j5eWF3r17Gzzr5+XlhQEDBki29erVS1xa4kZMdf9MpdU01Hbs2CG+4HXddttt+OGHH1BaWorCwkIcOHDAYG0WIiIiIjI//TpZAIwuoVR7m36tLrkpFArMmTMHu3fvxocffohu3bphyJAhBvtlZmaioKAA1tbW4myo+p+MjAxxeGdJSQmGDBmCs2fPYt26dTh58iT++OMP7N+/H8A/90ShUODHH3/EmDFj8Oabb6Jfv37w8PDA4sWLDSa0uBl173Nubi40Gg3effddg3KPGzcOAMSy69VdDks/k3V92/WvXWZmJgRBQIcOHQzOdebMGYPz1F57Uc/GxkYSN/Ux1f0zlRb3jBpRa+Tr62uwQCiRKTHmSE6MN7oZtRfT/uqrrzBp0iRJ+t69e8Xf6y4sr1ff0gbNafbs2Xj11Vfx4YcfYv369Ub3cXd3R/v27XH06FGj6fr5E44fP47r16/j5MmTkmn/jT035e/vj08++QQAEBcXh7179yI8PBxVVVX48MMPAdQ0XPQLWdemX2O4rrozPLq6ukKpVGLmzJl4+umnjR4TEBBgdPvNcnd3h0KhwM8//2ywMDYAo9tuRWPun6VgQ43IAtRdz4rI1BhzJCfGG92MSZMmwcXFBQUFBfjss8/g6+uLRYsWQa1WY+vWrXjvvfcA1HyAnz59utE85Gio+fr64oUXXkBMTAxmzZpldJ/x48fjiy++gFarxR133FFvXvqGUt1GyZYtW25Yhm7dumHVqlXYt28fzp07J27v3LkzLly4INn3+PHj9Y4+q8ve3h7Dhw/H+fPn0atXL6PrvDaX8ePH44033kBaWhoeeuihZslTfx8b6mWr7/5ZCjbUiIiIiMhi2NvbY82aNVi8eDEA4K233sJbb71lsN/y5cvN/iXAG2+8ccP0Rx55BHv27MG4cePw7LPPYsCAAVCr1UhNTcWJEycwceJEPPDAAxg0aBBcXV2xYMECrF69Gmq1Gnv27EFkZKQkvwsXLuCZZ57B1KlTERQUBGtraxw/fhwXLlzAiy++KO43c+ZMvPLKK3j11VcxdOhQXLp0Ce+9957keb+GbN68GYMHD8aQIUPw1FNPoXPnziguLsaVK1dw6NChep8PvFl33XUX5s+fjzlz5uDP8zrncQAADx1JREFUP//E3XffDQcHB6Snp+OXX35Bz5498dRTT91UnoGBgbCzs8OePXsQGhoKR0dH+Pj4ICcnp1H3z1KwoUZEREREFuWZZ55BSUkJVq1aZXSyh2XLliE8PFz+gt0kpVKJgwcPYvPmzdi1axdef/11qFQq+Pn5YejQoejZsyeAmueuDh8+jKVLl2LGjBlwcHDAxIkT8eWXX6Jfv35ifl5eXggMDERERARSUlKgUCjQpUsXbNq0CYsWLRL3e+GFF1BUVIQdO3Zg48aNGDBgAPbu3YuJEyc2uuzdu3fHuXPnsHbtWqxatQpZWVlwcXFBUFCQ+Jxac9myZQsGDhyILVu2ICIiAjqdDj4+PrjrrrsMJg5pDHt7e2zbtg2vvfYaRo8ejerqaqxevRoLFy5s1P2zFApBqLXUO5l2dXEiIiKiViwlJQUdO3ZstvySk5Px8ccf4+zZs9DpdOjbty/mz58veY6NSA71xbYp2w7sUSOyAJGRkaiuroZarUbv3r3NXRxqAxhzJCfGGzVV586dsW7dups+rqysDIIgQKFQwN7e3gQlIzI9dhMRERERERFZGPaoEVkA/WKSKhXfkiQPxhzJifFGcrOyshJ71IhaKtaYRBagvnVgiEyFMUdyYryR3Gxtbc1dBKJbxqGPREREREREFoYNNSIiIiIiIgvDhhoRERERNRutVmvuIhA1K3PFNJ9RI7IA165dEx+079Spk7mLQ20AY47kxHhrOzw8PJCWlgZfX18olUqzlaOyslL83cbGxmzloJZPq9UiLS0Nnp6esp+bDTUiC5Cfny+uMcQPMSQHxhzJifHWdtja2sLT0xPp6ekQBMFs5SguLhZnfXRycjJbOah18PT0NMsENWyoEREREVGzsbW1hZ+fn1nLUHuR9Y4dO5q1LERNpRDM+XWHBdLpdCguLpZsc3JygpUVH+cj06msrBS/+eMQDZIDY47kxHgjuTHmSC6mbDuwR43IAvCPCMmNMUdyYryR3Bhz1Bqwm4iIiIiIiMjCsKFGRERERERkYTj0sQ5jj+zpdDozlITaktpjmzk7FcmBMUdyYryR3BhzJBdj7YTmmgKEk4nUodFoUFpaau5iEBERERFRC+Tg4ACV6tb7wzj0kYiIiIiIyMKwoUZERERERGRh2FAjIiIiIiKyMHxGrQ6dTmfwUKBCoYBCoTBTiYiIiIiIyBIJgmAweYiVlVWzLHjNhhoREREREZGF4dBHIiIiIiIiC8OGWi0lJSVYsmQJfHx8YGtriz59+uCLL74wd7GolSguLsby5csxevRoeHh4QKFQIDw83Oi+586dw8iRI+Ho6AgXFxdMnjwZiYmJ8haYWqzjx49j7ty5CAkJgYODA3x9fTFx4kT89ddfBvsy1qg5/P3337jvvvvQqVMn2NnZwc3NDXfeeSd2795tsC9jjkzh448/hkKhgKOjo0EaY45u1cmTJ8VHoer+nDlzRrLvDz/8gDvvvBP29vZwd3fH7NmzkZWV1aTzsqFWy+TJk/Hpp59i9erV+O6779C/f39MmzYNn332mbmLRq1Abm4utm7disrKSkyaNKne/WJiYjBs2DBUVVVh79692LZtG+Li4jBkyBBkZ2fLWGJqqT744AMkJyfj2WefxZEjR7B582ZkZWVh4MCBOH78uLgfY42aS0FBATp27Ih//etfOHLkCHbu3InOnTtj5syZWLdunbgfY45MIS0tDcuWLYOPj49BGmOOmtO//vUv/Pbbb5KfsLAwMf3UqVO499570aFDB3zzzTfYvHkzfvjhB9xzzz2orKy8+RMKJAiCIBw+fFgAIHz22WeS7aNGjRJ8fHwEjUZjppJRa6HT6QSdTicIgiBkZ2cLAITVq1cb7Dd16lTB3d1dKCwsFLclJycLarVaWL58uVzFpRYsMzPTYFtxcbHQoUMH4Z577hG3MdbI1O644w6hY8eO4v8Zc2QK48ePFyZMmCDMmjVLcHBwkKQx5qg5nDhxQgAgfPXVVzfcr3///kL37t2F6upqcdvp06cFAEJERMRNn5c9av/vwIEDcHR0xNSpUyXb58yZg+vXr+Ps2bNmKhm1Fo2ZPVSj0eDbb7/FlClT4OzsLG739/fH8OHDceDAAVMXk1oBT09Pg22Ojo7o3r07UlJSADDWSB7u7u5QqVQAGHNkGrt378apU6cQERFhkMaYIzmlpaXhjz/+wMyZM8V6DwAGDRqEbt26NSne2FD7f1FRUQgNDZXcWADo1auXmE5kagkJCSgvLxfjrrZevXrhypUrqKioMEPJqKUrLCzEuXPn0KNHDwCMNTINnU4HjUaD7OxsRERE4Pvvv8eKFSsAMOao+WVlZWHJkiV444034OfnZ5DOmKPm9vTTT0OlUsHZ2RljxozBL7/8Iqbp2wr1xVtT2hJsqP2//2vvTkOiWh84jv+mtCYNt6zEwmzDEoy0NHshDrQolpBFQQUZJS1mG2i4tIyttAhZCIURiIXYRlEQRTC+KUMEA6Fs06hXmpmkopV17otq/te/euN2R2fU7wfOC5/zjM9z4Ifw85yZ+fDhg/z8/LqN/xr78OFDf28JQ9CvnPWWRcMw9PHjx/7eFgaBbdu2qa2tTTk5OZLIGvpGamqq3N3dNW7cOO3evVtnzpzR5s2bJZE5OF5qaqpCQkK0devWHs+TOTiKt7e3du7cqfPnz8tmsyk/P1/v3r2TxWLRvXv3JP0+b3/SJdx+P2Xo+KfH0vjCa/QnsghH2rdvny5fvqyzZ89qzpw5Xc6RNThSdna2UlJS1NDQoNu3bystLU1tbW1KT0+3zyFzcITr16/r9u3bqqqq+m1uyBz+q/DwcIWHh9t/jomJUVJSksLCwrRnzx7FxcXZz/WWqT/JGkXtpzFjxvTYdJuamiT13I4BRxszZoyknu/gNjU1yWQyycfHp7+3hQEsNzdXhw8f1pEjR5SWlmYfJ2voC0FBQQoKCpIkJSQkSJKysrKUnJxM5uAwra2t2rZtm7Zv367AwEA1NzdLkr58+SLpx6eQuru7kzn0KR8fHy1dulTnzp1Te3v7b/P2J12CRx9/CgsL07Nnz9TZ2dllvLq6WpK6fPQm0FemTp2qUaNG2XP3d9XV1Zo2bZrMZrMTdoaBKDc3V1arVVarVdnZ2V3OkTX0h6ioKHV2dqq2tpbMwWEaGxtVX1+vvLw8+fr62o+SkhK1tbXJ19dXa9euJXPoc4ZhSPpxt+xXV+gtb3/SJShqPyUlJam1tVXXr1/vMl5UVKTAwEDNmzfPSTvDUOLm5qbExETduHFDLS0t9vG3b9/KZrNp+fLlTtwdBpJDhw7JarVq7969OnDgQLfzZA39wWazadiwYZoyZQqZg8MEBATIZrN1O+Li4mQ2m2Wz2XT48GEyhz718eNH3blzR7Nnz5bZbNaECRMUFRWlS5cu6du3b/Z5jx8/1vPnz/8obybjVxWEFi9erMrKSh0/flzTpk1TSUmJCgsLdenSJa1du9bZ28MgcPfuXbW1tamlpUUbNmzQypUrtWrVKkk/HhPy8PBQTU2NIiMjFRERoczMTHV0dGj//v1qamrSkydPNHbsWCdfBVxdXl6e0tPTFR8f32NJi46OliSyBofZtGmTvLy8FBUVpfHjx6uxsVFXr15VaWmpMjIydOLECUlkDn1r/fr1unbtmlpbW+1jZA6OsGbNGgUFBWnu3Lny9/fXy5cvlZeXp9evX+vu3btauHChJKmsrEyLFi1SYmKiUlNT1dDQoMzMTHl7e6uyslIjR478dwv/629eG8RaWlqMHTt2GAEBAcaIESOMWbNmGSUlJc7eFgaRSZMmGZJ6POrq6uzzKisrjQULFhgeHh6Gl5eXsWzZMuPVq1fO2zgGlNjY2F5z9v9/9skaHOHixYtGTEyM4e/vb7i5uRk+Pj5GbGysUVxc3G0umUNf6ekLrw2DzOG/O3bsmDF79mzD29vbGD58uDF27FgjKSnJqKio6Db3/v37RnR0tGE2mw0/Pz9j3bp1Rn19/R+tyx01AAAAAHAxvEcNAAAAAFwMRQ0AAAAAXAxFDQAAAABcDEUNAAAAAFwMRQ0AAAAAXAxFDQAAAABcDEUNAAAAAFwMRQ0AAAAAXAxFDQAwZDx69EhWq1XNzc1dxi0WiywWi3M2BQBAD0yGYRjO3gQAAP3h1KlTysjIUF1dnYKDg+3jT58+lSSFhoY6aWcAAHTl5uwNAADgbBQ0AICr4dFHAMCQYLValZGRIUmaPHmyTCaTTCaTysrKuj36+ObNG5lMJp08eVLHjx9XcHCwRo0aJYvFohcvXujr16/KzMxUYGCgvL29lZSUpIaGhm5rlpaWav78+fL09NTo0aMVFxenqqqq/rpkAMAARlEDAAwJKSkp2r59uyTpxo0bKi8vV3l5uSIiInp9TUFBgR4+fKiCggJduHBBNTU1SkxM1MaNG/X+/XtdvHhRJ06c0IMHD5SSktLltUePHtXq1asVGhqqK1euqLi4WC0tLYqJibE/agkAQG949BEAMCRMnDhRQUFBkqTw8PAu71HrjY+Pj27evKlhw378X7OxsVG7du3SjBkzdOvWLfu8mpoanT59Wp8+fZKXl5fevXunAwcOKC0tTWfOnLHPW7RokaZPn67c3FyVlpY69gIBAIMKd9QAAOhFQkKCvaRJ0syZMyVJS5Ys6TLv1/jbt28lSffu3VNnZ6fWrVunzs5O+2E2mxUbG6uysrL+uQAAwIDFHTUAAHrh5+fX5ecRI0b843hHR4ckqb6+XpIUGRnZ4+/9e/kDAKAnFDUAABzM399fknTt2jVNmjTJybsBAAxEFDUAwJAxcuRISVJ7e3ufrhMXFyc3Nze9fv1aK1as6NO1AACDE0UNADBkhIWFSZLy8/OVnJwsd3d3hYSEOHyd4OBgHTx4UDk5OaqtrVV8fLx8fX1VX1+viooKeXp6Kjc31+HrAgAGD4oaAGDIsFgsysrKUlFRkQoLC/X9+3fZbLY+WSsrK0uhoaHKz89XSUmJPn/+rICAAEVGRmrLli19siYAYPAwGYZhOHsTAAAAAID/4WOnAAAAAMDFUNQAAAAAwMVQ1AAAAADAxVDUAAAAAMDFUNQAAAAAwMVQ1AAAAADAxVDUAAAAAMDFUNQAAAAAwMVQ1AAAAADAxVDUAAAAAMDFUNQAAAAAwMX8BXgXmrLw4wDSAAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run(track=trk, zs=zs, R=var, Q=.02, P=1., plot_P=True, \n", " title='$P=1\\, m^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This *looks* good at first blush. The plot does not have the spike that the former plot did; the filter starts tracking the measurements and doesn't take any time to settle to the signal. However, if we look at the plots for P you can see that there is an initial spike for the variance in position, and that it never really converges. Poor design leads to a long convergence time, and suboptimal results. \n", "\n", "So despite the filter tracking very close to the actual signal we cannot conclude that the 'magic' is to use a small $\\mathbf P$. Yes, this will avoid having the Kalman filter take time to accurately track the signal, but if we are truly uncertain about the initial measurements this can cause the filter to generate very bad results. If we are tracking a living object we are probably very uncertain about where it is before we start tracking it. On the other hand, if we are filtering the output of a thermometer, we are as certain about the first measurement as the 1000th. For your Kalman filter to perform well you must set $\\mathbf P$ to a value that truly reflects your knowledge about the data. \n", "\n", "Let's see the result of a bad initial estimate coupled with a very small $\\mathbf P$. We will set our initial estimate at x = 100 m (whereas the dog actually starts at 0m), but set `P=1` m$^2$. This is clearly an incorrect value for $\\mathbf P$ as the estimate is off by 100 m but we tell the filter that it the $3\\sigma$ error is 3 m." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.array([100., 0.])\n", "run(track=trk, zs=zs, R=var, Q=.02, P=1., x0=x,\n", " plot_P=False, title='$P=1\\, m^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the initial estimates are terrible and that it takes the filter a long time to start converging onto the signal . This is because we told the Kalman filter that we strongly believe in our initial estimate of 100 m and were incorrect in that belief.\n", "\n", "Now, let's provide a more reasonable value for `P` and see the difference." ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.array([100., 0.])\n", "run(track=trk, zs=zs, R=var, Q=.02, P=500., x0=x,\n", " plot_P=False, title='$P=500\\, m^2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case the Kalman filter is very uncertain about the initial state, so it converges onto the signal much faster. It is producing good output after only 5 to 6 epochs. With the theory we have developed so far this is about as good as we can do. However, this scenario is a bit artificial; if we do not know where the object is when we start tracking we do not initialize the filter to some arbitrary value, such as 0 m or 100 m. I address this in the **Filter Initialization** section below.\n", "\n", "Let's do another Kalman filter for our dog, and this time plot the covariance ellipses on the same plot as the position." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from kf_book.mkf_internal import plot_track_ellipses\n", "\n", "def plot_covariances(count, R, Q=0, P=20., title=''): \n", " track, zs = compute_dog_data(R, Q, count)\n", " f = pos_vel_filter(x=(0., 0.), R=R, Q=Q, P=P)\n", "\n", " xs, cov = [], []\n", " for z in zs:\n", " f.predict()\n", " f.update(z)\n", "\n", " xs.append(f.x[0])\n", " cov.append(f.P)\n", " plot_track_ellipses(count, zs, xs, cov, title)\n", "\n", "plt.figure(figsize=(10,6))\n", "plt.subplot(121)\n", "plot_covariances(R=5, Q=.02, count=20, title='$R = 5\\, m^2$')\n", "plt.subplot(122)\n", "plot_covariances(R=.1, Q=.02, count=20, title='$R = 0.5\\, m^2$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you are viewing this in Jupyter Notebook or on the web, here is an animation of the filter filtering the data. I've tuned the filter parameters such that it is easy to see a change in $\\mathbf P$ as the filter progresses.\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output on these is a bit messy, but you should be able to see what is happening. In both plots we are drawing the covariance matrix for each point. We start with the covariance $\\mathbf P=(\\begin{smallmatrix}20&0\\\\0&20\\end{smallmatrix})$, which signifies a lot of uncertainty about our initial belief. After we receive the first measurement the Kalman filter updates this belief, and so the variance is no longer as large. In the top plot the first ellipse (the one on the far left) should be a slightly squashed ellipse. As the filter continues processing the measurements the covariance ellipse quickly shifts shape until it settles down to being a long, narrow ellipse tilted in the direction of movement.\n", "\n", "Think about what this means physically. The x-axis of the ellipse denotes our uncertainty in position, and the y-axis our uncertainty in velocity. So, an ellipse that is taller than it is wide signifies that we are more uncertain about the velocity than the position. Conversely, a wide, narrow ellipse shows high uncertainty in position and low uncertainty in velocity. Finally, the amount of tilt shows the amount of correlation between the two variables. \n", "\n", "The first plot, with $R=5 m^2$, finishes up with an ellipse that is wider than it is tall. If that is not clear I have printed out the variances for the last ellipse in the lower right hand corner.\n", "\n", "In contrast, the second plot, with `R=0.5` $m^2$, has a final ellipse that is taller than wide. The ellipses in the second plot are all much smaller than the ellipses in the first plot. This stands to reason because a small $\\small\\mathbf R$ implies a small amount of noise in our measurements. Small noise means accurate predictions, and thus a strong belief in our position. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Question: Explain Ellipse Differences\n", "\n", "Why are the ellipses for $\\mathbf R=5 m^2$ more tilted towards the horizontal than the ellipses for $\\mathbf R=0.5 m^2$. Hint: think about this in the context of what these ellipses mean physically, not in terms of the math. If you aren't sure about the answer,change $\\mathbf R$ to truly large and small numbers such as 100 $m^2$ and 0.1 $m^2$, observe the changes, and think about what this means. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution\n", "\n", "The x-axis is for position, and y-axis is velocity. An ellipse that is vertical, or nearly so, says there is no correlation between position and velocity, and an ellipse that is diagonal says that there is a lot of correlation. Phrased that way, the results sound unlikely. The tilt of the ellipse changes, but the correlation shouldn't be changing over time. But this is a measure of the *output of the filter*, not a description of the actual, physical world. When $\\mathbf R$ is very large we are telling the filter that there is a lot of noise in the measurements. In that case the Kalman gain $\\mathbf K$ is set to favor the prediction over the measurement, and the prediction comes from the velocity state variable. Thus there is a large correlation between $x$ and $\\dot x$. Conversely, if $\\mathbf R$ is small, we are telling the filter that the measurement is very trustworthy, and $\\mathbf K$ is set to favor the measurement over the prediction. Why would the filter want to use the prediction if the measurement is nearly perfect? If the filter is not using much from the prediction there will be very little correlation reported. \n", "\n", "**This is a critical point to understand!**. The Kalman filter is a mathematical model for a real world system. A report of little correlation *does not mean* there is no correlation in the physical system, just that there was no *linear* correlation in the mathematical model. It's a report of how much measurement vs prediction was incorporated into the model. \n", "\n", "Let's bring that point home with a truly large measurement error. We will set $\\mathbf R=200\\, m^2$. Think about what the plot will look like before looking at it." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_covariances(R=200., Q=.2, count=5, title='$R = 200\\, m^2$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I hope the result was what you were expecting. The ellipse quickly became very wide and not very tall. It did this because the Kalman filter mostly used the prediction vs the measurement to produce the filtered result. We can also see how the filter output is slow to acquire the track. The Kalman filter assumes that the measurements are extremely noisy, and so it is very slow to update its estimate for $\\dot x$. \n", "\n", "Keep looking at these plots until you grasp how to interpret the covariance matrix $\\mathbf P$. When you work with a $9{\\times}9$ matrix it may seem overwhelming - there are 81 numbers to interpret. Just break it down - the diagonal contains the variance for each state variable, and all off diagonal elements are the product of two variances and a scaling factor $p$. You cannot plot a $9{\\times}9$ matrix on the screen so you have to develop your intuition and understanding in this simple, 2-D case. \n", "\n", ">When plotting covariance ellipses, make sure to always use ax.set_aspect('equal') or plt.axis('equal') in your code (the former lets you set the xlim and ylim values). If the axis use different scales the ellipses will be drawn distorted. For example, the ellipse may be drawn as being taller than it is wide, but it may actually be wider than tall." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filter Initialization\n", "\n", "\n", "There are many schemes for initializing the filter. The following approach performs well in most situations. In this scheme you do not initialize the filter until you get the first measurement, $\\mathbf z_0$. From this you can compute the initial value for $\\mathbf x$ with $\\mathbf x_0 = \\mathbf z_0$. If $\\mathbf z$ is not of the same size, type, and units as $\\mathbf x$, which is usually the case, we can use our measurement function as follow.\n", "\n", "We know\n", "\n", "$$\\mathbf z = \\mathbf{Hx}$$\n", "\n", "Hence,\n", "\n", "$$\\begin{aligned}\n", "\\mathbf H^{-1}\\mathbf{Hx} &= \\mathbf H^{-1}\\mathbf z \\\\\n", "\\mathbf x &= \\mathbf H^{-1}\\mathbf z\\end{aligned}$$\n", "\n", "Matrix inversion requires a square matrix, but $\\mathbf H$ is rarely square. SciPy will compute the Moore-Penrose pseudo-inverse of a matrix with `scipy.linalg.pinv`, so your code might look like" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[3.2]\n", " [0. ]]\n" ] } ], "source": [ "from scipy.linalg import pinv\n", "\n", "H = np.array([[1, 0.]]) \n", "z0 = 3.2\n", "x = np.dot(pinv(H), z0)\n", "print(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Specialized knowledge of your problem domain may lead you to a different computation, but this is one way to do it. For example, if the state includes velocity you might take the first two measurements of position, compute the difference, and use that as the initial velocity.\n", "\n", "Now we need to compute a value for $\\mathbf P$. This will vary by problem, but in general you will use the measurement error $\\mathbf R$ for identical terms, and maximum values for the rest of the terms. Maybe that isn't clear. In this chapter we have been tracking and object using position and velocity as the state, and the measurements have been positions. In that case we would initialize $\\mathbf P$ with\n", "\n", "$$\\mathbf P = \\begin{bmatrix}\\mathbf R_0 & 0 \\\\0 & vel_{max}^2\\end{bmatrix}$$\n", "\n", "The diagonal of $\\mathbf P$ contains the variance of each state variable, so we populate it with reasonable values. $\\mathbf R$ is a reasonable variance for the position, and the maximum velocity squared is a reasonable variance for the velocity. It is squared because variance is squared: $\\sigma^2$.\n", "\n", "You really need to understand the domain in which you are working and initialize your filter on the best available information. For example, suppose we were trying to track horses in a horse race. The initial measurements might be very bad, and provide you with a position far from the starting gate. We know that the horse must start at the starting gate; initializing the filter to the initial measurement would lead to suboptimal results. In this scenario we would want to always initialize the Kalman filter with the starting gate position of the horse." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Batch Processing\n", "\n", "The Kalman filter is designed as a recursive algorithm - as new measurements come in we immediately create a new estimate. But it is very common to have a set of data that have been already collected which we want to filter. Kalman filters can be run in a batch mode, where all of the measurements are filtered at once. We have implemented this in `KalmanFilter.batch_filter()`. Internally, all the function does is loop over the measurements and collect the resulting state and covariance estimates in arrays. It simplifies your logic and conveniently gathers all of the outputs into arrays. I often use this function, but waited until the end of the chapter so you would become very familiar with the predict/update cyle that you must run.\n", "\n", "First collect your measurements into an array or list. Maybe it is in a CSV file:\n", "\n", "```python\n", "zs = read_altitude_from_csv('altitude_data.csv')\n", "```\n", "\n", "Or maybe you will generate it using a generator:\n", "\n", "```python\n", "zs = [some_func(i) for i in range(1000)]\n", "```\n", "\n", "Then call the `batch_filter()` method.\n", "\n", "```python\n", "Xs, Ps, Xs_prior, Ps_prior = kfilter.batch_filter(zs)\n", "```\n", "\n", "The function takes the list of measurements, filters it, and returns an NumPy array of state estimates (Xs), covariance matrices (Ps), and the priors for the same (Xs_prior, Ps_prior).\n", "\n", "Here is a complete example." ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "count = 50\n", "track, zs = compute_dog_data(10, .2, count)\n", "P = np.diag([500., 49.])\n", "f = pos_vel_filter(x=(0., 0.), R=3., Q=.02, P=P)\n", "xs, _, _, _ = f.batch_filter(zs)\n", "\n", "book_plots.plot_measurements(range(1, count + 1), zs)\n", "book_plots.plot_filter(range(1, count + 1), xs[:, 0])\n", "plt.legend(loc='best');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The batch filter takes an optional `filterpy.common.Saver` object. If provided, all of the filter's attributes will be saved as well. This is useful if you want to inspect values other than the state and covariance. Here I plot the residual to see if it appears like noise centered around 0. This is a quick visual inspection to see if the filter is well designed. If if drifts from zero, or doesn't look like noise, the filter is poorly designed and/or the processes are not Gaussian. We will discuss this in detail in later chapters. For now consider this a demonstration of the `Saver` class." ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "track, zs = compute_dog_data(10, .2, 200)\n", "P = np.diag([500., 49.])\n", "f = pos_vel_filter(x=(0., 0.), R=3., Q=.02, P=P)\n", "s = Saver(f)\n", "xs, _, _, _ = f.batch_filter(zs, saver=s)\n", "s.to_array()\n", "plt.plot(s.y);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Smoothing the Results\n", "\n", "This book includes a chapter on smoothing the results; I will not repeat the information here. However, it is so easy to use, and offers such a profoundly improved output that I will tease you with a few examples. The smoothing chapter is not especially difficult; you are sufficiently prepared to read it now.\n", "\n", "Let's assume that we are tracking a car that has been traveling in a straight line. We get a measurement that implies that the car is starting to turn to the left. The Kalman filter moves the state estimate somewhat towards the measurement, but it cannot judge whether this is a particularly noisy measurement or the true start of a turn. \n", "\n", "However, if we have future measurements we can decide if a turn was made. Suppose the subsequent measurements all continue turning left. We can then be sure that that a turn was initiated. On the other hand, if the subsequent measurements continued on in a straight line we would know that the measurement was noisy and should be mostly ignored. Instead of making an estimate part way between the measurement and prediction the estimate will either fully incorporate the measurement or ignore it, depending on what the future measurements imply about the object's movement.\n", "\n", "`KalmanFilter` implements a form of this algorithm which is called an *RTS smoother*, named after the inventors of the algorithm: Rauch, Tung, and Striebel. The method is `rts_smoother()`. To use it pass in the means and covariances computed from the `batch_filter` step, and receive back the smoothed means, covariances, and Kalman gain. " ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy.random import seed\n", "count = 50\n", "seed(8923)\n", "\n", "P = np.diag([500., 49.])\n", "f = pos_vel_filter(x=(0., 0.), R=3., Q=.02, P=P)\n", "track, zs = compute_dog_data(3., .02, count)\n", "Xs, Covs, _, _ = f.batch_filter(zs)\n", "Ms, Ps, _, _ = f.rts_smoother(Xs, Covs)\n", "\n", "book_plots.plot_measurements(zs)\n", "plt.plot(Xs[:, 0], ls='--', label='Kalman Position')\n", "plt.plot(Ms[:, 0], label='RTS Position')\n", "plt.legend(loc=4);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This output is fantastic! Two things are very apparent to me in this chart. First, the RTS smoother's output is much smoother than the KF output. Second, it is almost always more accurate than the KF output (we will examine this claim in detail in the **Smoothing** chapter). The improvement in the velocity, which is a hidden variable, is even more dramatic:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(Xs[:, 1], ls='--', label='Kalman Velocity')\n", "plt.plot(Ms[:, 1], label='RTS Velocity')\n", "plt.legend(loc=4)\n", "plt.gca().axhline(1, lw=1, c='k');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will explore why this is so in the next exercise." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise: Compare Velocities\n", "\n", "Since we are plotting velocities let's look at what the 'raw' velocity is, which we can compute by subtracting subsequent measurements. i.e the velocity at time 1 can be approximated by `xs[1] - xs[0]`. Plot the raw value against the values estimated by the Kalman filter and by the RTS filter. Discuss what you see." ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "# your code here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dx = np.diff(Xs[:, 0], axis=0)\n", "plt.scatter(range(1, len(dx) + 1), dx, facecolor='none', \n", " edgecolor='k', lw=2, label='Raw velocity')\n", "plt.plot(Xs[:, 1], ls='--', label='Filter')\n", "plt.plot(Ms[:, 1], label='RTS')\n", "plt.legend(loc=4);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the noise swamps the signal, causing the raw values to be essentially worthless. The filter is maintaining a separate estimate for velocity. The Kalman gain $\\mathbf K$ is multidimensional. For example, it might have the value $\\mathbf K = [0.1274, 0.843]^\\mathsf T$. the first value is used to scale the residual of the position, and the second value will scale the residual of the velocity. The covariance matrix tells the filter how correlated the position and velocity are, and each will be optimally filtered. \n", "\n", "I show this to reiterate the importance of using Kalman filters to compute velocities, accelerations, and even higher order values. I use a Kalman filter even when my measurements are so accurate that I am willing to use them unfiltered because it allows me accurate estimates for velocities and accelerations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Discussion and Summary\n", "\n", "Multivariate Gaussians allow us to simultaneously handle multiple dimensions, both spacial and others (velocity, etc). We made a key insight: hidden variables have the ability to significantly increase the accuracy of the filter. This is possible because the hidden variables are correlated with the observed variables. \n", "\n", "I gave an intuitive definition of *observability*. Observability was invented by Dr. Kalman for linear systems, and there is a fair amount of theory behind it. It answers the question of whether a system state can be determined by observing the system's output. For our problems this has been easy to determine, but more complicated systems may require rigorous analysis. Wikipedia's [Observability](https://en.wikipedia.org/wiki/Observability) article has an overview; if you need to learn the topic [[Grewal2008]](#References) is a good source. \n", "\n", "There is one important caveat about hidden variables. It is easy to construct a filter that produces estimates for hidden variables. I could write a filter that estimates the color of a tracked car. But there is no way to compute car color from positions, so the estimate for the color will be nonsense. The designer must verify that these variables are being estimated correctly. If you do not have a velocity sensor and yet are estimating velocity, you will need to test that the velocity estimates are correct.; do not trust that they are. For example, suppose the velocity has a periodic component to it - it looks like a sine wave. If your sample time is less than 2 times the frequency you will not be able to accurately estimate the velocity (due to Nyquist's Theorem). Imagine that the sample period is equal to the frequency of the velocity. The filter will report that the velocity is constant because it samples the system at the same point on the sin wave. \n", "\n", "Initialization poses a particularly difficult problem for hidden variables. If you start with a bad initialization the filter can usually recover the observed variables, but may struggle and fail with the hidden one. Estimating hidden variables is a powerful tool, but a dangerous one. \n", "\n", "I established a series of steps for designing a Kalman filter. These are not a usual part of the Kalman filter literature, and are only meant as a guide, not a prescription. Designing for a hard problem is an iterative process. You make a guess at the state vector, work out what your measurement and state models are, run some tests, and then alter the design as necessary. \n", "\n", "The design of $\\mathbf R$ and $\\mathbf Q$ is often quite challenging. I've made it appear to be quite scientific. Your sensor has Gaussian noise of $\\mathcal{N}(0, \\sigma^2)$, so set $\\mathbf R=\\sigma^2$. Easy! This is a dirty lie. Sensors are not Gaussian. We started the book with a bathroom scale. Suppose $\\sigma=1$ kg, and you try to weigh something that weighs 0.5 kg. Theory tells us we will get negative measurements, but of course the scale will never report weights less than zero. Real world sensors typically have *fat tails* (known as *kurtosis*) and *skew*. In some cases, such as with the scale, one or both tails are truncated.\n", "\n", "The case with $\\mathbf Q$ is more dire. I hope you were skeptical when I blithely assigned a noise matrix to my prediction about the movements of a dog. Who can say what a dog will do next? The Kalman filter in my GPS doesn't know about hills, the outside winds, or my terrible driving skills. Yet the filter requires a precise number to encapsulate all of that information, and it needs to work while I drive off-road in the desert, and when a Formula One champion drives on a track.\n", "\n", "These problems led some researchers and engineers to derogatorily call the Kalman filter a 'ball of mud'. In other words, it doesn't always hold together so well. Another term to know - Kalman filters can become *smug*. Their estimates are based solely on what you tell it the noises are. Those values can lead to overly confident estimates. $\\mathbf P$ gets smaller and smaller while the filter is actually becoming more and more inaccurate! In the worst case the filter diverges. We will see a lot of that when we start studying nonlinear filters. \n", "\n", "The Kalman filter is a mathematical model of the world. The output is only as accurate as that model. To make the math tractable we had to make some assumptions. We assume that the sensors and motion model have Gaussian noise. We assume that everything is linear. If that is true, the Kalman filter is *optimal* in a least squares sense. This means that there is no way to make a better estimate than what the filter gives us. However, these assumption are almost never true, and hence the model is necessarily limited, and a working filter is rarely optimal.\n", "\n", "In later chapters we will deal with the problem of nonlinearity. For now I want you to understand that designing the matrices of a linear filter is an experimental procedure more than a mathematical one. Use math to establish the initial values, but then you need to experiment. If there is a lot of unaccounted noise in the world (wind, etc.) you may have to make $\\mathbf Q$ larger. If you make it too large the filter fails to respond quickly to changes. In the **Adaptive Filters** chapter you will learn some alternative techniques that allow you to change the filter design in real time in response to the inputs and performance, but for now you need to find one set of values that works for the conditions your filter will encounter. Noise matrices for an acrobatic plane might be different if the pilot is a student than if the pilot is an expert as the dynamics will be quite different." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- [1] 'Kalman Filters'. Wikipedia\n", "https://en.wikipedia.org/wiki/Kalman_filter#Details\n", "\n", "* **[Grewal2008]** Grewal, Mohinder S., Andrews, Angus P. *Kalman Filtering: Theory and Practice Using MATLAB*. Third Edition. John Wiley & Sons. 2008." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "01f6a703d143467eb6a8756e8da1efcb": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "FloatSliderModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/controls", "_model_module_version": "1.5.0", "_model_name": "FloatSliderModel", "_view_count": null, "_view_module": "@jupyter-widgets/controls", "_view_module_version": "1.5.0", "_view_name": "FloatSliderView", "continuous_update": false, "description": "F10", "description_tooltip": null, "disabled": false, "layout": 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