{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "3858203a", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pysindy as ps\n", "\n", "from ML_in_AERSP.MiA_utils.ps_utils import fSysNLn, genDataFixPar, genDataMultiPar, \\\n", " clib_func, clib_name, clib_lco, wsWrapper, predTrajFixPar, predTrajMultiPar, \\\n", " pltQuiver, cmpTraj2D, cmpTrajPhase, cmpTraj3D, cmpPhasePlane\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "np.set_printoptions(formatter={'float': '{: 5.4f}'.format})\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "id": "cdd98fb6", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## AERSP 597 - Machine Learning in Aerosapce Engineering\n", "## Lecture 24, Dynamical System: Regression models\n", "### Instructor: Daning Huang" ] }, { "cell_type": "markdown", "id": "455b0c7e", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "$$\n", "\\newcommand\\norm[1]{{\\left\\lVert #1 \\right\\rVert}}\n", "\\newcommand{\\bR}{\\mathbb{R}}\n", "\\newcommand{\\vf}{\\mathbf{f}}\n", "\\newcommand{\\vg}{\\mathbf{g}}\n", "\\newcommand{\\vv}{\\mathbf{v}}\n", "\\newcommand{\\vw}{\\mathbf{w}}\n", "\\newcommand{\\vx}{\\mathbf{x}}\n", "\\newcommand{\\vy}{\\mathbf{y}}\n", "\\newcommand{\\vA}{\\mathbf{A}}\n", "\\newcommand{\\vB}{\\mathbf{B}}\n", "\\newcommand{\\vU}{\\mathbf{U}}\n", "\\newcommand{\\vV}{\\mathbf{V}}\n", "\\newcommand{\\vW}{\\mathbf{W}}\n", "\\newcommand{\\vX}{\\mathbf{X}}\n", "\\newcommand{\\vtf}{\\boldsymbol{\\phi}}\n", "\\newcommand{\\vty}{\\boldsymbol{\\psi}}\n", "\\newcommand{\\vtF}{\\boldsymbol{\\Phi}}\n", "\\newcommand{\\vtS}{\\boldsymbol{\\Sigma}}\n", "\\newcommand{\\vtL}{\\boldsymbol{\\Lambda}}\n", "\\newcommand{\\cF}{\\mathcal{F}}\n", "\\newcommand{\\cK}{\\mathcal{K}}\n", "$$" ] }, { "cell_type": "markdown", "id": "58039db8", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## TODAY: Dynamical System - IV\n", "\n", "+ Simple linear regression\n", " - The issues\n", "+ Sparse identification of nonlinear dynamics (SINDy)\n", " - Sparsity-promotion\n", " - Tackling noise\n", " - Handling parameters\n", " \n", "### Example problem and code:\n", "+ Available [here](https://github.com/smanist/MiA_utils/blob/master/ps_utils.py).\n", "\n", "### References\n", "\n", "+ [DMSC] Part 3\n", "+ [sindy2016] DOI: [pnas.1517384113](https://www.pnas.org/doi/10.1073/pnas.1517384113)\n", "+ [PySINDy] DOI: [10.21105/joss.03994](https://joss.theoj.org/papers/10.21105/joss.03994) and [PySINDy@github](pysindy.readthedocs.io/en/latest/examples/index.html)\n", "+ See text for more references" ] }, { "cell_type": "markdown", "id": "80dc5fe5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Previously...\n", "\n", "We have identified the basic problem to solve\n", "$$\n", "\\dot{x} = F(x)\n", "$$\n", "where $x\\in\\bR^N$ consists of the full or partial state measurements, or reduced-order coordinates (e.g. after linear projection or autoencoder)." ] }, { "cell_type": "markdown", "id": "e992dac3", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The nonlinear system function $F$ needs to be identified from $N$ trajectories $D=\\{D_i\\}_{i=1}^K$, where the $i$th trajectory of length $L_i$ is denoted\n", "$$\n", "D_i=\\left\\{\\left( t_j^{(i)},x_j^{(i)} \\right)\\right\\}_{j=0}^{L_i}\n", "$$" ] }, { "cell_type": "markdown", "id": "af988bd1", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Simple Linear Regression" ] }, { "cell_type": "markdown", "id": "e94561e4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Intuitively, we would like to have\n", "$$\n", "\\dot{x}_j^{(i)} = F(x_j^{(i)})\n", "$$\n", "for all data points.\n", "\n", "> If the time derivative is known, then this looks exactly like a **linear regression** problem." ] }, { "cell_type": "markdown", "id": "3815da3d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's\n", "- Assume\n", "$$\n", "\\begin{bmatrix} F_1(x) \\\\ F_2(x) \\\\ \\vdots \\\\ F_N(x) \\end{bmatrix} =\n", "\\begin{bmatrix}\n", "\\xi_{11} & \\xi_{12} & \\cdots & \\xi_{1M} \\\\\n", "\\xi_{21} & \\xi_{22} & \\cdots & \\xi_{2M} \\\\\n", "\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", "\\xi_{N1} & \\xi_{N2} & \\cdots & \\xi_{NM}\n", "\\end{bmatrix}\n", "\\begin{bmatrix} \\theta_1(x) \\\\ \\theta_2(x) \\\\ \\vdots \\\\ \\theta_M(x) \\end{bmatrix}\n", "\\quad\\mbox{or}\\quad F(x)=\\Xi^T\\theta(x)\n", "$$\n", "where $\\Xi\\in\\bR^{M\\times N}$ is the **weight matrix** to be fitted from data and $\\theta(x) \\in \\bR^M$ is our familiar **feature vector**, such as polynomials $\\theta_i(x)=x^{i-1}$.\n", "- Approximate the time derivative by, e.g., finite difference,\n", "$$\n", "\\dot{x}_j^{(i)} \\approx \\frac{x_j^{(i)}-x_{j-1}^{(i)}}{t_j^{(i)}-t_{j-1}^{(i)}}\n", "$$\n", "- For conciseness, consider just one trajectory - so we drop the $(i)$ in the following." ] }, { "cell_type": "markdown", "id": "e5524afa", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Then given all the sample trajectories, one can form a linear regression problem\n", "$$\n", "\\min_{\\Xi} \\norm{\\dot X - \\Theta(X)\\Xi}\n", "$$\n", "where $X$ and $\\dot{X}$ contain the data row-wise, i.e.,\n", "$$\n", "X^T = [x_0,x_1,\\cdots,x_{M}],\\quad \\dot{X}^T = [\\dot{x}_0,\\dot{x}_1,\\cdots,\\dot{x}_{M}]\n", "$$\n", "and\n", "$$\n", "\\Theta(X)^T = [\\theta(x_0),\\theta(x_1),\\cdots,\\theta(x_{M})]\n", "$$" ] }, { "cell_type": "markdown", "id": "e969433e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We should know very well by now how to solve the minimization problem,\n", "$$\n", "\\Xi = \\Theta^+\\dot{X}\n", "$$\n", "where $\\Theta^+$ is pseudo-inverse.\n", "\n", "> Let's see whether this formulation works" ] }, { "cell_type": "markdown", "id": "76c2e43b", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Model problem\n", "\n", "A problem similar to what we encountered in resolvent analysis\n", "$$\n", "\\begin{bmatrix} \\dot{x} \\\\ \\dot{y} \\end{bmatrix} = \\begin{bmatrix} -\\omega y - x r^2(r^2-\\mu) \\\\ \\omega x - y r^2(r^2-\\mu)\\end{bmatrix}\n", "$$\n", "where $r^2=x^2+y^2$.\n", "+ When $\\mu<0$, there is a stable equilibrium point at origin\n", "+ When $\\mu\\geq 0$, there is a stable limit cycle of radius $\\sqrt{\\mu}$, but an unstable equilibrium point at origin" ] }, { "cell_type": "code", "execution_count": 2, "id": "309b5f8c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "OM, MU = 10, 4 # Picking omega=10, mu=4\n", "func = lambda x: fSysNLn(0, x, om=OM, rr=MU)\n", "pltQuiver([-3,3], 25, func, rr=2)" ] }, { "cell_type": "code", "execution_count": 3, "id": "2070dc70", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Suppose now we generate the following two sample trajectories for training\n", "dt = 0.0001 # Step size\n", "Tf = 1.0 # Total time period\n", "eps = 0.0 # Noise\n", "x0s = [[1,0], [3,3]] # Two initial conditions\n", "t_train, x_train = genDataFixPar(dt, Tf, eps, x0s, (OM, MU))\n", "\n", "# And we also generate two test trajectories\n", "x0t = [[-0.5,-0.5], [-2,3]] # Two initial conditions\n", "t_test, x_test = genDataFixPar(dt, Tf, eps, x0t, (OM, MU))" ] }, { "cell_type": "code", "execution_count": 4, "id": "55edf7be", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# As expected, all trajectories converge to the limit cycle\n", "# But the test trajectories cover a different region in state space.\n", "cmpTrajPhase(x_train, x_test, ['Train', 'Test'])" ] }, { "cell_type": "markdown", "id": "ba8f9a9c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's pick the following linear regression form\n", "$$\n", "\\begin{bmatrix} \\dot{x} \\\\ \\dot{y} \\end{bmatrix} = \\Xi^T\\theta(x) =\n", "\\begin{bmatrix}\n", "0 & -\\omega & \\mu & 0 & -1 & 0 \\\\\n", "\\omega & 0 & 0 & \\mu & 0 & -1\n", "\\end{bmatrix}\n", "\\begin{bmatrix}\n", "x \\\\ y \\\\ xr^2 \\\\ yr^2 \\\\ xr^4 \\\\ yr^4\n", "\\end{bmatrix}\n", "$$\n", "+ $\\Xi$ is what we need to find from data. The exact solution should be\n", "$$\n", "\\begin{bmatrix}\n", "0 & -10 & 4 & 0 & -1 & 0 \\\\\n", "10 & 0 & 0 & 4 & 0 & -1\n", "\\end{bmatrix}\n", "$$" ] }, { "cell_type": "code", "execution_count": 5, "id": "43d80a74", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(x)' = -0.007 x + -9.963 y + 4.011 xr^2 + -0.019 yr^2 + -1.002 xr^4 + 0.002 yr^4\n", "(y)' = 9.994 x + 0.036 y + 0.011 xr^2 + 3.982 yr^2 + -0.002 xr^4 + -0.998 yr^4\n", "\n", "Fitted coefficients - not bad!\n" ] }, { "data": { "text/plain": [ "array([[-0.0066, -9.9631, 4.0110, -0.0189, -1.0024, 0.0024],\n", " [ 9.9936, 0.0360, 0.0107, 3.9816, -0.0023, -0.9977]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Now we use the PySINDy implementation to do the fit\n", "model = ps.SINDy(\n", " differentiation_method=ps.FiniteDifference(order=2),\n", " feature_library=clib_lco, # We have pre-defined the feature vectors\n", " optimizer=ps.STLSQ(threshold=1e-4), # This is almost like simple linear regression\n", " feature_names=[\"x\", \"y\"])\n", "model.fit(x_train, t=t_train, multiple_trajectories=True)\n", "model.print()\n", "print('\\nFitted coefficients - not bad!')\n", "model.coefficients()" ] }, { "cell_type": "code", "execution_count": 6, "id": "3862d41a", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving [-0.5, -0.5]\n", "Solving [-2, 3]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The learned model performs very well on unseen data\n", "x_pred = predTrajFixPar(model, x0t, t_train)\n", "cmpTraj2D(x_test, x_pred, t_train, 2)" ] }, { "cell_type": "code", "execution_count": 7, "id": "1262048b", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Another comparison on the phase plane\n", "cmpPhasePlane((OM,MU), [model], ['Learned'])" ] }, { "cell_type": "markdown", "id": "4ab3473f", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### However ...\n", "Here we have cheated to some degree\n", "- We have chosen the features to be exactly those nonlinear terms in the exact model\n", " + What if we do not know these features beforehand?\n", " + If we just try as many features as we could think of, would the model overfit?" ] }, { "cell_type": "markdown", "id": "df418099", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- We have delibrately used noise-free data with a tiny time step size\n", " + With a larger time step size $\\dot{X}$ would be less accurate\n", " + Noise would make $\\dot{X}$ even less accurate\n", " + Perhaps we could try some filtering first on the data?" ] }, { "cell_type": "markdown", "id": "c11b7fa3", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "> Next let's take a closer look at the **feature selection** and the **denoising** problem." ] }, { "cell_type": "markdown", "id": "41de6f05", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Feature selection: Sparse identification\n", "\n", "If we do not know the model form beforehand, then it makes sense to try many many different features." ] }, { "cell_type": "markdown", "id": "e48749d9", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Back to the example\n", "\n", "Say we only know that the model problem consists of polynomial terms, and we assume a feature vector of monomials up to 5th order,\n", "$$\n", "\\theta([x,y])^T = [x,y,x^2,xy,y^2,x^3,x^2y,xy^2,y^3,\\cdots,xy^4,y^5]\n", "$$\n", "\n", "The actual model, expanded in monomials, only consists of a tiny subset of the features,\n", "$$\n", "\\begin{bmatrix} \\dot{x} \\\\ \\dot{y} \\end{bmatrix} = \\begin{bmatrix} -\\omega y - x r^2(r^2-\\mu) \\\\ \\omega x - y r^2(r^2-\\mu)\\end{bmatrix} =\n", "\\begin{bmatrix}\n", "-\\omega y + \\mu x^3 + \\mu xy^2 - x^5-2x^3y^2-xy^4 \\\\\n", "\\omega x + \\mu x^2y + \\mu y^3 - x^4y-2x^2y^3-y^5\n", "\\end{bmatrix}\n", "$$\n", "\n", "> But let's fit the model anyways." ] }, { "cell_type": "code", "execution_count": 8, "id": "698fa02d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(x)' = 6.983 1 + -6.383 x + -16.805 y + -2.350 x^2 + 7.366 x y + -1.197 y^2 + 5.719 x^3 + 1.852 x^2 y + 3.463 x y^2 + 2.317 y^3 + 0.151 x^4 + -1.841 x^3 y + 0.014 x^2 y^2 + -1.842 x y^3 + -0.137 y^4 + -1.031 x^5 + -0.038 x^4 y + -1.498 x^3 y^2 + -0.192 x^2 y^3 + -0.467 x y^4 + -0.154 y^5\n", "(y)' = 6.807 1 + 3.779 x + -6.633 y + -2.291 x^2 + 7.180 x y + -1.167 y^2 + 1.675 x^3 + 5.805 x^2 y + -0.524 x y^2 + 6.259 y^3 + 0.147 x^4 + -1.795 x^3 y + 0.014 x^2 y^2 + -1.795 x y^3 + -0.133 y^4 + -0.030 x^5 + -1.037 x^4 y + 0.490 x^3 y^2 + -2.187 x^2 y^3 + 0.520 x y^4 + -1.150 y^5\n", "\n", "Fitted coefficients - cannot be true as they are all non-zero!\n" ] } ], "source": [ "model_overfit = ps.SINDy(\n", " differentiation_method=ps.FiniteDifference(order=2),\n", " feature_library=ps.PolynomialLibrary(degree=5), # Now we use monomials up to 5th order\n", " # feature_library=ps.FourierLibrary(),\n", " optimizer=ps.STLSQ(threshold=1e-4),\n", " feature_names=[\"x\", \"y\"])\n", "model_overfit.fit(x_train, t=t_train, multiple_trajectories=True)\n", "model_overfit.print()\n", "print('\\nFitted coefficients - cannot be true as they are all non-zero!')" ] }, { "cell_type": "code", "execution_count": 9, "id": "c7a19bcc", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving [1, 0]\n", "Solving [3, 3]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Prediction for train trajectories works well\n", "x_pred = predTrajFixPar(model_overfit, x0s, t_train)\n", "cmpTraj2D(x_train, x_pred, t_train, 2)" ] }, { "cell_type": "code", "execution_count": 10, "id": "c7431a05", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving [-0.5, -0.5]\n", "Solving [-2, 3]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Test prediction is totally off - clearly the model is overfitting\n", "x_pred = predTrajFixPar(model_overfit, x0t, t_train)\n", "cmpTraj2D(x_test, x_pred, t_train, 2)" ] }, { "cell_type": "markdown", "id": "78527779", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Solution: Regularization\n", "\n", "Recall the figure below\n", "\n", "![Norms](pics/p-norms.png)" ] }, { "cell_type": "markdown", "id": "bfaee55c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If one is given the following regression problem and face the problem of having too many features, then the immediate thought is to add a regularization term $R(\\Xi)$ as\n", "$$\n", "\\min_{\\Xi} \\norm{\\dot X - \\Theta(X)\\Xi} + \\color{red}{\\lambda R(\\Xi)}\n", "$$\n", "where $\\lambda$ is a penalty factor and $R(\\Xi)$ could be,\n", "+ Frobenius norm $\\norm{\\Xi}_F$: then we get ridge regression - many coefficients will be small, but non-zero\n", "+ L1 norm $\\norm{\\Xi}_1$: then we get Lasso regression - more coefficients will be exactly zero.\n", "+ L0 norm $\\norm{\\Xi}_0$: then we get the most zeros - but this is a non-convex term and hard to solve." ] }, { "cell_type": "markdown", "id": "0af302c8", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "+ In vanilla SINDy, a relatively simple STLSQ (Sequentially Thresholded Least SQuares) algorithm was used.\n", " - STLSQ essentially removes small coefficient iteratively and manually.\n", "+ But in the following we present a more recent version of algorithm, **Sparse Relaxed Regularized Regression** (SR3) [1]\n", "\n", "[1] Champion, K., et al., A unified sparse optimization framework to learn parsimonious physics-informed models from data, 2020." ] }, { "cell_type": "markdown", "id": "4064d58e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Consider a \"relaxed\" optimization formulation with an auxiliary variable $W$\n", "$$\n", "\\min_{\\Xi,W} \\frac{1}{2}\\norm{\\dot X - \\Theta(X)\\Xi}^2 + \\lambda R(W) + \\frac{1}{2\\nu}\\norm{\\Xi-W}^2\n", "$$\n", "when $\\nu\\rightarrow 0$, the formulation reduces to\n", "$$\n", "\\min_{\\Xi} \\norm{\\dot X - \\Theta(X)\\Xi} + \\lambda R(\\Xi)\n", "$$\n", "\n", "But now,\n", "+ The two quadratic parts can be solved in closed-form if $W$ is given\n", "+ The regularization term $R(W)$ can be implemented using a technique called the **proximal** method.\n", " - The idea is that enforcing the regularization on $W$ is equivalent to applying the **proximal operator** to $W$\n", "+ This formulation allows for the addition of constraints, if needed\n", " - One could add **physics-informed priors** on the model, e.g. identical coefficients due to symmetry, zero coefficients due to skew-symmetry, etc." ] }, { "cell_type": "markdown", "id": "5428b230", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Examples of proximal operators:\n", "\n", "" ] }, { "cell_type": "markdown", "id": "4b14db93", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The algorithm goes as follows\n", "+ Pick a penalty parameter $\\lambda$, relaxation parameter $\\nu$, and number of iterations $N_{itr}$\n", "+ Start with a regular least squares solution\n", "$$\n", "W^0 = \\Theta(X)^+\\dot{X}\n", "$$\n", "+ For $i=1,2,\\cdots,N_{itr}$:\n", " - Solve the quadratic part of the problem - for which closed-form solution is available\n", "$$\n", "\\Xi^k = \\min_{\\Xi} \\frac{1}{2}\\norm{\\dot X - \\Theta(X)\\Xi}^2 + \\frac{1}{2\\nu}\\norm{\\Xi-W^{k-1}}^2\n", "$$\n", " - Apply the proximal operation. For L0 penalty, this is to simply zero out small coefficients (determined by $\\lambda\\nu$)\n", "$$\n", "W^k = \\mathrm{prox}_{\\lambda\\nu R}(\\Xi^k)\n", "$$\n", " - Compare the change in truncated coefficients\n", "$$\n", "\\epsilon = \\norm{W^k-W^{k-1}} / \\nu\n", "$$\n", " - Stop if $\\epsilon$ is lower than a user-supplied threshold; otherwise continue" ] }, { "cell_type": "markdown", "id": "abaaa07d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Side note\n", "+ More information on proximal gradient method [wiki](https://en.wikipedia.org/wiki/Proximal_gradient_method) and [an introductory text](https://web.stanford.edu/~boyd/papers/pdf/prox_algs.pdf)\n", "+ There are certainly more methods for sparsity enforcement, such as in [1]\n", "\n", "[1] Gueho, D., et al., Filtered Integral Formulation of the Sparse Model Identification Problem, 2021." ] }, { "cell_type": "markdown", "id": "b364bf12", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Try the new optimizer out" ] }, { "cell_type": "code", "execution_count": 11, "id": "43f920fc", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Using the same data\n", "dt, Tf, eps = 0.0001, 1.0, 0.0\n", "x0s = [[1,0], [3,3]]\n", "t_train, x_train = genDataFixPar(dt, Tf, eps, x0s, (OM, MU))\n", "x0t = [[-0.5,-0.5], [-2,3]]\n", "t_test, x_test = genDataFixPar(dt, Tf, eps, x0t, (OM, MU))" ] }, { "cell_type": "code", "execution_count": 12, "id": "fa6ff56c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fitted coefficients - It is picking out the correct terms!\n", "(x)' = -10.000 y + 3.992 x^3 + 4.011 x y^2 + -0.998 x^5 + -2.001 x^3 y^2 + -1.003 x y^4\n", "(y)' = 10.000 x + 4.001 x^2 y + 4.002 y^3 + -1.000 x^4 y + -2.001 x^2 y^3 + -1.001 y^5\n" ] } ], "source": [ "opt = ps.SR3(\n", " threshold=0.8,\n", " thresholder=\"l0\",\n", " max_iter=10000,\n", " tol=1e-10) # The new optimizer\n", "\n", "model_sr3 = ps.SINDy(\n", " differentiation_method=ps.FiniteDifference(order=2),\n", " feature_library=ps.PolynomialLibrary(degree=5, include_bias=False),\n", " optimizer=opt,\n", " feature_names=[\"x\", \"y\"])\n", "model_sr3.fit(x_train, t=t_train, multiple_trajectories=True)\n", "print('Fitted coefficients - It is picking out the correct terms!')\n", "model_sr3.print()" ] }, { "cell_type": "code", "execution_count": 13, "id": "e40d9ba4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving [-0.5, -0.5]\n", "Solving [-2, 3]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Now the test prediction is almost perfect\n", "x_pred = predTrajFixPar(model_sr3, x0t, t_train)\n", "cmpTraj2D(x_test, x_pred, t_train, 2)" ] }, { "cell_type": "markdown", "id": "42746755", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Denoising the data\n", "\n", "The success of the regression relies on the accuracy of the time derivative." ] }, { "cell_type": "markdown", "id": "aa74d6c3", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Effect of noise in sample data" ] }, { "cell_type": "code", "execution_count": 14, "id": "238ac752", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Using the same set up, but now with noise\n", "dt, Tf, eps = 0.0001, 1.0, 0.1\n", "x0s = [[-1.5,1], [2,2], [1,0], [3,3]]\n", "t_train, x_train = genDataFixPar(dt, Tf, eps, x0s, (OM, MU))\n", "# Set zero noise in test data\n", "x0t = [[-2,2], [1,2.5]]\n", "t_test, x_test = genDataFixPar(dt, Tf, 0.0, x0t, (OM, MU))" ] }, { "cell_type": "code", "execution_count": 15, "id": "f68e79d0", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(x)' = 21.635 y + -0.067 xr^2 + -7.913 yr^2\n", "(y)' = 10.791 x + -18.559 y + -0.163 xr^2 + 10.486 yr^2 + -1.451 yr^4\n", "\n", "Fitted coefficients - even with cheating the fitting fails!\n" ] }, { "data": { "text/plain": [ "array([[ 0.0000, 21.6354, -0.0667, -7.9125, 0.0000, 0.0000],\n", " [ 10.7908, -18.5590, -0.1632, 10.4856, 0.0000, -1.4508]])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fit the model with customized features\n", "model_noise = ps.SINDy(\n", " differentiation_method=ps.FiniteDifference(order=2),\n", " feature_library=clib_lco,\n", " optimizer=ps.SR3(threshold=0.8, thresholder=\"l0\",\n", " max_iter=10000, tol=1e-10),\n", " feature_names=[\"x\", \"y\"])\n", "model_noise.fit(x_train, t=t_train, multiple_trajectories=True)\n", "model_noise.print()\n", "print('\\nFitted coefficients - even with cheating the fitting fails!')\n", "model_noise.coefficients()" ] }, { "cell_type": "code", "execution_count": 16, "id": "d9fb7a48", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving [-1.5, 1]\n", "Solving [2, 2]\n", "Solving [1, 0]\n", "Solving [3, 3]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Even the prediction for train trajectories does not work well\n", "x_pred = predTrajFixPar(model_noise, x0s, t_train)\n", "cmpTraj2D(x_train, x_pred, t_train, 2)" ] }, { "cell_type": "code", "execution_count": 17, "id": "8cb1d997", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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9HitWrKCSlcvlcHBwoJIFACcnJ9TV1VHJbtq0Cdu2baOSraqqgqurK/V5ODo6Ut/DDRs2YMOGDVSy5eXlsLW1pT4PLy8vPHz4kEp2//79mDBhApVsTU0NBAIB9XcMDw/Hnj17qGRTU1Ph4uICjUbDKSuXy2FpaYk7d+5QHXvBggWYNGkSleydO3cgFotRUlJCdR4uLi5ISEigOvaaNWvQu3dvNDQ0UMkbgxByFf+AufZ/+dPcOfvy5csIDQ2llre2tkZ5eTmV7JYtW7Bo0SIq2aqqKgiFQiiVSir5kJAQHDt2jEr27Nmz6Nu3L5VsdXU1RCIR8vPzqeRHjBiBNWvWUMkeO3YMjo6OVGO6qKgIYrEYV65c4ZTVaDQYPnw4IiIiqNajkydPQiKRUH1H3by+evVqTlkAOHjwICwtLfH48WNO2YaGBgQEBGDGjBlU552VlQWRSISrV69Sn4u9vT1qamqo5CdOnIjp06dTySoUCtjb2+PChQtU8o8fP4ZQKERVVRWV/OHDhxESEkIlCwChoaE4evQolaxCoYBQKKTWA86fP9+sOSI0NBSXLl2iln8eU/P236ksv0MIeePZ/18mhJwjhDiZe8/vVZ4BoK6uDjKZDOfPn6eSHzlyJFatWkUle+jQIQQGBlLJPnnyBBKJhGpSZlkWVlZWKCwspDr2qFGjcPLkSSrZPXv2YM6cOVSyRUVF6NmzJ5UsAFhZWVHL+vr6oqCggEp25cqV1ArdzZs3MWLECCpZjUYDS0tLKlkAcHd3R1FREZXs8uXLsWXLFirZhw8fwsvLi0pWrVZDLBZTKw7jxo2jVhTPnTsHb29vKlmdkvH06VNOWZZlERgYSH0eu3btgq+vL/VCJhQKqRZJuVwOZ2dnqrHEsixmzZqF4OBgqNVqqvM2Ba88cxMcHIzr169TyV66dAmDBw+mklWr1c0yckRERGD37t1UspcvX0afPn2oZGtqaiAUClFaWsopy7IsfH19ceTIEapjr127FuHh4VSyly5dgpWVFaqrqzllCwsLIRKJcO3aNU5ZpVIJPz8/LFmyhOo8tmzZAicnJyolLjs7GxKJBMePH+eUZVkWCxcuRO/evamUsrKyMtjZ2SEuLo7qvK9duwahUIjMzEwq+YSEBDg7O6O+vp5Kfs6cORg9ejTV3MeyLAYMGIDt27dTHVulUsHW1hY3b96kki8vL4dAIKAaKwBw48aNZukLy5cvx8qVK6nl3d3d8ejRIyrZ6upqWFpaUhsVjfFPVJ6/JYTcIITcIoTcIYREcr3njyjPgHYQSCQSpKWlccqq1Wq4urrixIkTVMceOXIkYmJiqGTXrVuHGTNmUMmeOXOGeseXl5dHbW1taGiAVCqlkgUAqVRKZVkEtNZk2t11aGgo7t+/TyW7YMEC6oVkz549WLZsGZXsnTt3qBdh3SaMFgsLC+od9aBBg6h3yDExMdSbnwcPHqBHjx5UE0hdXR2EQiGKi4s5ZVmWhY+PD5KTk6nOY8WKFdSW8pSUFNjZ2VFZxZ48eUK9kNXX18PJyQn79u3jlNVoNBg5ciQmTJjwhyZfHbzybJ7a2lpYWFhQy/ft2xf37t2jko2Pj8fMmTOpZAsKCmBtbU11z9VqNbVlEwAGDx6MAwcOUMmuWbMGEydOpJI9efIkXF1dqTZ4Og8NjQJfUFAAkUiEGzducMrW1dXB1dUVW7du5ZRlWRbTpk1DUFAQlSEpJSUFQqEQDx484JRVKBQYMGAAIiMjqdashw8fQiQSISUlhVMWAJKTk2FpaUllMACAbdu2wcPDg9prtWLFCoSEhFDPOXPmzKH2UANaQ8r69eup5QMCAqj1IJZlYWNjg5ycHCr52traZnl4bt++DV9fXypZQHstN27cSC1vjH+c8vx7fv6o8gxoJwPahbaqqgoikYjKja5QKGBpaUn1cLMsCwcHB2ql0cPDg3qR8PX1pXaJDxw4ELdu3aKSHTZsGPVOdfTo0VRWCkDrmqJVGKOionDmzBkq2QULFlCH6axbt45643PgwAFqpfX69evUG5+ioiLq8I7muLlYloWTkxPVuAS0m8Bdu3ZRyW7cuBHjxo2jkj137hycnZ2pFvfMzEyIRCKUlZVxypaWlkIsFuP27ducsnV1dXB0dKRSXlQqFQIDA7FgwQJOWVp45dk8mzZtog4Pe/z4MXr06EEly7IspFIpKisrqeRDQkKo55mVK1dSj5Fjx45ReyivX78OOzs7qFQqTtn09HSIxWJq661AIKAKkdBtSmmMTWVlZZDJZFRzrkKhQGBgIGbOnEmlIG7btg329vZUyn5JSQlsbW0RGxvLKQtoQ2jEYjGysrKo5Ldt29Ys49D69evRp08fauUwJiYGvr6+1F6u3bt3U3vnAG3oSEBAALX8/v37mxUiERMTg6ioKGr5mTNnUlvMAcDf359aZ2FZFhKJhNrabwpeeW5CZmYmhEIhVbiALq6poqKCSlYqlUIul3PKZmRkwMbGhmpnfP/+fbi7u3PKAdpJt3///lSyp0+fplZ+9u7dSx0vuH79eurY5Llz51LHRo0fP546XnzIkCHUm5P+/fsjIyODSnbAgAHUxw0NDUVqaiqVbEREBA4dOkQlu2zZMuqQot27d2Ps2LFUshcuXEDv3r2pZB88eAArKyuqRSE/Px8CgYBaGRaJRFSLWVVVFSwtLamusU5xprnGcrkcnp6ef9hi8Ty88mweGxsbqnkWACZNmkS9OT5w4AAmT55MJfvgwQO4ublRyT59+hRisZjqGaisrIRQKKRS4HWyNOtTeXk5RCIRlRu7qKgIQqEQ6enpnLK6mFiaTemTJ08gFoupQiIrKirg6OjIqTCxLAuNRoPJkycjKCgICoWCU/7u3bsQCATUxpitW7fC0dGReswtWLAA/v7+nOeiY/ny5fD396faAAFab6mHhwe1on3lyhXY2NhQ6RsAkJOTA7FYTB26VFpaCqFQSL1R0I1b2vMpKytrlkc7JyenWXlMp06dwujRo6nlTcErz8+RlpYGiURCFTN6+vRpODk5UT0E8fHx1Du1efPmUVtaBg0ahNOnT1PJOjo6Uk28Go0GQqGQavCWl5fDxcWF6vMvXLiAiIgIKtnVq1dj586dVLJhYWHUVnVHR0fqh1gqlVK7aMViMdUx5XI5JBIJ1XFramogFoup7oMuZpJmgq2rq4NAIKCa/Orr6yESiahckbqQH5oFu6GhAVZWVlTWArlcDltbW1y8eJHqfO3t7Tlj/OVyOWpqauDg4IDExESzsmq1GleuXIGdnR327t3LeQ7NhVeeTXP//n34+flRycrlcup5S5c3QmO1BLQJuzQKIwAEBgZSW6gHDBhAZSRgWRa9e/emiutVKpVwdHSkUlorKyshlUo548nr6uqQl5cHoVDIOdcWFRXh/PnzEAqFnM93Q0MDFi9eDLFYTLWOzZgxA3369MGCBQs459C8vDwEBARAKpUiLy+P89gxMTEYO3YsdcjI6dOnMXLkSIwdO5ZqzJWVlWHBggUYOHAgtWJ49OjRZq1ZuntEE14HaK39VlZW1B5sAPDx8aEe34A2yfzgwYPU8uPGjWuW/LBhw3Du3Dlq+V69elF7FMzBK89GOH/+PGQyGTZt2sQpu27dOgwfPpwqeS8kJIQq2USlUsHS0pLqgS8qKoKlpSXVw3jkyBHqWLmxY8dSPyCWlpZUG4jS0lJ4enpSHTMuLg7r1q2jkh04cCB1ogBt0mJFRQX1bjYlJYV6JxsbG4vFixdTyS5dupRqDALaRYXWJTlp0iTqBJgxY8ZQyw4fPpxKtr6+HkFBQYiPj+eUvX37Nvr27UuVTLh27Vq4ublh//79nLJz5szBDz/8QBUrv2LFCrzwwgvU17e58MqzacaMGUNtHNi4cSN1PkNycjL1M5uSkkIdVnH+/Hn4+/tTyR48eBCDBg3ilGNZFsuWLaOKX338+DFCQkKows02btwIW1tbqnne398fAoGASskKCAhA27ZtqRI8o6KiQAjB0qVLOWVTU1PRokULSCQSKouzvb09CCFUm5PCwkK88cYb6NSpE1WYy927d9GqVSs4OTlRGUIyMzPx0UcfYdCgQVRrdVVVFYYOHQqZTEZl5GBZFrdu3YJUKsXdu3c55XXvCQsLo4pF17F7926EhYVRy9++fZvaYwNovRUymYw6fKS4uBg2NjbUx3/8+HGzrNTm4JVnI6hUKjg6OqJly5acOxSNRgNXV1d06tSJM4amvr4eEomEyvp648YNuLm5UQXYT5s2DTt27OAccLpYH5qHMS0tDcHBwZxygDaWmTYMgbZ6xZEjRzB//nwqWR8fH6rNi0ajgbW1NdUxk5KSMGvWLCrZcePGUe98HR0dqUqmKZVKCAQCKldgaWkplZtLLpcjPT0dDg4OnGOlsrISCQkJ8PLy4pStqKjAwIEDERQUxHmu5eXl+M9//kM1AZeXl+O1116Dg4MDZ6xfWVkZXn31Vfz444+c7sfS0lK8/vrr+OWXXzg3qCUlJXjvvfcQFBREnUHfXHjl2ThKpRIikYi6soBUKqXO/Lezs6OaM1iWha2tLZUho6KiAhKJhKriztGjR6lc3xqNBv7+/nB0dOR8BmpqatChQwe4ublxzgXZ2dl44YUXYGNjw2llvXLlCggh8PT05DzfCxcuoF27dpg+fTpn2MODBw/QtWtXbNmyhXOea2hoQN++fbFhwwaqWNXdu3dj+PDhVKEogNaDO2nSJDx58oRTlmVZyGQy+Pr6UsfZ9uzZEx07dqQ2RMycOROEEGoD0pkzZ/Diiy9i3rx5VPJVVVXo0aMH9RoP/DZmaRPd6+vrYWdn16x5c9CgQc2yak+ePLlZVurIyEjqsC4u/rXK8/37983GyZaVlWHIkCGNiV3x8fFGJySWZRETE4M33nijMVP10aNHRms8qlQq9OnTB4QQvQG1b98+gwWirq4O3bp1w1dffaX399zcXIMEvdraWvz6669GywA9b1nbtGkTZs+ebXQxyM/P19u1SiQSs+4iXf3SxMREzJ4926QcoHUnpaenQyaTUVmpo6OjqUM87O3tqbK+8/Pz4e/vT1V3dcqUKTh16hQyMzM5454lEknjwmYqBIBlWdy/f18vdvjhw4dGE/aKi4uxePFig83DgQMHDMbJlStX4OzsbDAhZGZmGkzshw8fRocOHYxONnv27NEb33FxcSCEGC2nl52drffsbNiwAYQQk2WFEhISGu95dHQ0XnrpJSxfvtyoUpSbm4uzZ88CAGbPno3//Oc/Zt3PcXFxUCgUmDJlCkJCQsy6K/Py8nDs2DGsXLkScXFxnArG1q1bcerUKaq65/n5+dSx6c/DK8+G1NfXY8+ePXrzyvXr140qvHV1ddizZ49eCUqWZY0+iyqVCvPmzTOo13/9+nWDyhhqtRqenp4GuQEsyxokl9bX16Njx44IDg42GNfXrl3TM4I8fvwYhBCjCVoajUbPy3LmzBkQQjBs2DCj4zU1NbUxcX3lypV45513TCb2qlSqRitjaGgohgwZYjZs5fz580hLS8PkyZMbn0lT1NfXY82aNTh27BiVcebkyZM4cuQI1caosrISCxcupA51SE5Opi7NWlFRgblz51LH7549exY7d+6k8nTK5XIsXrwYd+/eRXR0NGfoxb1793DgwAFUVVWhW7duRud7HSzLYvPmzY2bRXd3d7OegdLSUr0SnLo525QXNCkpSW8uffToEQghRqt9KJVKg/KeGo0G3377Lfr27Wuw6bt69arROTUqKgrOzs4GfzflSTxz5gwkEoneuDC1pgK/VYhpKp+YmPi7Kyb9a5XnkpISSKVSzuLud+/ehVqtxrJly8zWBy4oKEBkZCRYlkVJSYnJGrcKhQIjRozAtGnTGv82ZcoUoyVi4uLi0Lp1a72qHoWFhQZhGtnZ2ejUqROEQqHBMQYPHqwXKxobGwtCCHbs2GEg+/Dhw0aXY0NDAzw9Pc2WrXN2dkZlZSXy8/MhkUjMxqQmJydj9uzZCA4OptpZdu/eHcOGDeO0SKhUKnz11VdU8dF79+7FpEmTON08t2/fbmyyEBoaanaMREZGwsHBAVVVVQbKcVOqqqrQrl07DB8+vPFhdXd3N/qgHz9+HIQQvc3Q6dOnjbqOly9fDkKIXgiEWq2GTCYzsLqMHj0a77//vkGW/N69ew0sEH379oWLi4uBJa+urg5SqVTvvHv06IHVq1cbnYQ2btyIwYMHg2VZsCyLgIAAkxN8SUkJRCIR7t27B41Ggw0bNpgt4zR37tzG68m1mOmSge/du8c5WWo0GoSHh1PHMl66dAlCoZDaXfo8vPJsyMmTJ/HWW2/phS3Z29sb3RzduXMHLVq0QGRkZOPfTIVlZGRkgBCC0NDQxnGg0WhgYWFhcOzbt2+DEIIhQ4bojZlt27YZJBoeP34crVq1Mkh409U7b+ptWrFiBX744QejCsS0adOwcOHCxt9DQ0OxcuVKo2P27t27EIlEKCkpAcuymDFjhkmvVkNDA7y8vLB582ZoNBrO5OaYmBg4ODigtLSU83m5f/8+xGIxVX30mpoahIaGwt/fnzOviGVZxMXFQSAQUFkLMzMz4eHhgaFDh3ImIatUKqxatQoikQiHDh2iip/u27cvgoKCqDwLx44dg1AoRExMDNV8s3jxYtja2iIrKwtPnz41u+7V1tbC19cXkydPhlqtRnFxMVasWGFyrsrJyYFIJNJbn93d3U1WFzp8+DCcnJz0lP0lS5bgxx9/NGp0GzJkiIGRJS0tDYQQg4ozFRUVEAgEBps2hUKBF198ETKZTG/O379/v0kvZceOHdGtWzc9S7i7u7vJsf3NN9/oNQTLzc01qqzT8q9VngHtYi2RSKg7AY0dO1ZvYnsenYIAaAvkOzg4mLSyNk0+USqVsLCwMBqikZKSYhBrOXPmTIPBmpOTg6+//trABffw4UP06tWr8feGhgaIxWKT9aQtLS0bH5oRI0agbdu2pr4upk+fjmPHjuHQoUMghJiNz719+zZCQkLQsWNHdO/e3aScjo4dO6Jt27acySmHDx9Gq1atMGrUKM5jdunSBR9//DGnRXvLli0ghGDr1q2cyX0///wzfvnlF6hUKvTv39/kWMrKygIhpHEXferUKZM1pFevXo2ffvqp0Rqiu2fGFsb+/ftj+fLlen+bO3cuoqOjDWS9vb0NlMycnBxIJBK9CUilUmHu3LkGkzHLsvDz89OzBCiVSpOlCk+ePAlnZ+fGZ0ClUplcFKqrq2FlZUUd/rNw4UI9Bcgcd+/ehVAopEoSkcvl6NOnD3Xs7Pbt26nLZZmCV54N2blzJ1599dXGTVpaWhr69etnVDYxMRHvvvsusrOzG/9ma2tr1Ep94MABfPvtt3ohBdu2bTNa63njxo0GyV1lZWVGKwfMmjXLaF3zfv36ISkpSe9vGzZsMOr63rdvH/z8/PTGdNPv1JScnBy90nLmnoO6ujq4uLhQGRg0Gg0mTJiA4OBgqqS5LVu2wMrKyuR5NuXMmTMQCoVUOQkZGRlwcnLCxIkTOcMEampqMH78eDg4OFCFUSQnJ0MsFmPJkiWcxpn6+npERUVBJpNRdVEsKiqCn58fBg4cSFVFKDs7G/b29pg/fz5VGTpd+UFaL9eNGzcgEAj0jB0qlcpk/fHjx4/D3t7e4JqvXr3a6H1YsWKF0apNK1aswObNm/X+pqv/byzp9fr16+jatate1Zna2lqTTVhqa2vxyiuv6HVOPHfuHAYOHGj0e7Esi1deeUWvGtXw4cOp8ymM8a9WngGti1wsFlMlN2g0Gvj6+lLHLa1du5a6HNitW7fg6OhodPf4/ENVX19vtKVyfn6+UWt3z5499cJEysrKTMZGzZkzp3Fya2howC+//GJyR3vs2LHGNqEuLi5mE8BKS0vh5eWFiRMnUrWg/e677/DWW29xWv4qKytBCKHKLHd0dIREIuGMTz548CC6du2KhIQEzJ0716ysQCDA3bt3OevLpqamNjYC0XUuNGXBWLFihd7CP336dJMbk+eL1N+6dQsODg5GFd/nFTylUgmZTGZgMTW1EC9evBhTpkwx+trz6KxRNMk3DQ0N6NGjB3Ub46VLlyIkJITKKnzt2jWIxWKqZhXl5eWws7OjSurVaDSYOHEigoODqUtUmYJXng1ZuXKl3n0ICgoyWSN+06ZNeo0szpw5YxCWoSMhIUGv4pBcLodAIDCqGKSmphqMseDgYKPj1Fh8b3x8PHVy1d27d2FpaUkVz/v06VPqxiDV1dWws7OjUrZqa2vRq1cvLF68mHNTWltbi/79+2PkyJGc47+urg5hYWHw9fXl3GQ2NDQgKioKdnZ2nJ4cjUaDmJgYCAQCJCQkcJ5zeno63N3dMXToUM7zYFkWCQkJEAqF2Lp1K5X1eM2aNdSl+ViWxfr16yGVSqkrRe3evRsWFhbUyfEnTpyAhYUFdSfis2fPQiaTUecNHD9+HO7u7kaVfmOGHl01E2NcvXrV4BkaPXq0ybn4zp07epswXRy6qXm+oqICQ4YMafy9uLi4WYmJxvjXK8/Ab3U5aeJmFQoFHB0dcerUKapjDxgwgLrt8KxZs6hL1O3YsYNakblw4YLBYmLKqpCVlQUfH5/G3zMyMky6zquqqhrdHtnZ2Wa7DbEsC2traxQXF3PGRwPaqhi0danfe+89qocgMjISYrGYc7K/ePEizp8/D3d3d84EEl0m96hRo8yWkSooKGi0wG7fvr1x02GMpt6KjIwM2NvbU30/hUIBqVRK3cVp3Lhx1DWLT548CXd3dyqFtbi4GEKhkCpWWK1Wo0+fPtRlCZcvX46goCCq8zh//jykUilVmb28vDyIxWKqxM+amhp4eXlh6dKlfIfBv2jObroIlpaWmg21el7xdXJyMjn2nr9f8+fPx4YNG8yei47z589Tl83Ly8vjzBnRUV5eDqFQSJWUWFVVBQsLCypvaXl5Oaytram6wD1+/BgWFhZU4RG6ToQ0TYV0JetoNqQnTpyASCTC5s2bOZ+ry5cvw9raGlFRUZwbjvLycowYMQLOzs5UoVU6A8SECROoYqFv3boFmUyGuXPnUlnrCwsL4ebmhsmTJ1NtvFUqFcaMGYMBAwZQN/aIjY1Fjx49qBXh1NRUWFpaUte2fvjwISQSCfXxMzMzYWlpSW1oSEtLg5ubm8lx8Pz8v2/fPrNdauvq6vTuTUREBHVHT1PwyvMzioqKIBKJqLrlVVZWQiKRUNeotbS0pGqgoVKpYGVlRZWdqlNGadu/ymQyatcyrQUE0LaZ1g1wrglPVyaOZkKSyWRUO2alUkndTjwnJ4cqxkmlUqG4uJi6U1lZWRksLS2pFClzlq7nYVkWPXr0oG6+EhERQa0MJyUlGbiITZGbm0vdyEEul8PGxobKxcmyLAYNGkTd2GXNmjUIDAykUpyTk5Mb49a5SEtLoy7DlZubC6lUSt0OngZeeTbPnDlzqDdXqampVFVfAO1z2zTZ1xxKpRISiYRqI6ZWq2Fvb0+1PqjVajg7O3Mm5AHaZ4umhjmgNQhJpVI9t7Yprl69CoFAwFnHmmVZbNy4ETKZjHNjXF9fj1GjRqFPnz5mk3gVCgV1qENubi4KCwvRv39/9O3b1+xmQy6X48GDB1i+fDlEIhFnLffc3FyUlZUhNDQUHh4enGuwUqlEbW0txowZAzc3N6qwFQDYtWsXRCIRdXhaYWEh7OzsqKtuAM1v2nL9+nVIJBJq/aCiooK6AQ+gvVbW1tbU3Wx1VbFor6lKpYJYLKbuFFpVVWWQaPh74JXnJuiyMWnajj5+/Ji6nakuYJ9ml3b//n3Y2tpS3diLFy8iICCAUw7QunxMxTk/z/z586ksBYDWnUrTphzQKs+0ljqZTEYll56eTt3qeu/evWZj1puyZMkS6vag06dPp/YuzJs3j9rStX37duqKI6mpqXB3d6e6vrr2ujTjsb6+HhYWFlQWG41Gg759+1IlDgHaMkO0LVs3bNgAPz8/KkVn3759sLe3p9qknThxAlKplKp5UEpKSmPS4Z8JrzybRqVSQSAQUHdXc3d3py6NNXLkSE6lSsfs2bOxdu1aKtm5c+carXxkjLFjx1JtHlUqFTw9Pamerfz8fIhEIpNhLk3ZtWsXZDKZ2U1BTU0NampqEBAQgLFjx5q9F1euXMHOnTshEok467ifOnUKMpkMEomEU8m/desWOnbsCIlEwrnRUCgU6NGjB9q3b4/o6GjOsZOZmYmPP/4YIpGIqiZ0RkYGHB0dqcNFamtrkZycDF9fX4SFhVEZpjQaDc6fPw+BQECdk6XRaDBixAjqRGdA60UQiURUSZCAdhzSbvZ0RERENEv5X716NWe4ZFPWr19P3eUY0K7BtJ2OzcErz8+hU6BpukndvXsXYrGYytVx9OhR9O7dm0q5WbhwIXUjDR8fHyorn1qtpm6RmZOTgz59+lB9/vr166kK8gPahY12d0irPB86dMggo9cUQ4cOpfIsAFqLOo11uK6uDiKRiEqpKy0tpbZ06Vy5NBOtrgsgjaVerVbDwcGBKsafZVn069ePeiMVERFBXZt76dKlepVHzLF582b07duXs8ShSqXC9u3b4ebmxnnd8vPzG12bXHHZSUlJ2Lx58x9ODDQFrzybJiEhgbre+o0bN6jDKh49egRHR0eq8ffo0SPY2NhQx9g7OTlRycbGxlJt/FmWRf/+/Tk33Wq1GllZWVSVX06ePIkZM2bA39/f7JqgVqthZ2cHkUjEGdJRUFCADz74AO+99x5nCMqtW7fw+uuv4+233+Y818zMTHTq1AkSiYTToKFWq+Hn5wehUIixY8dyJu09fvwYn3/+OX799VeqzdHTp0/x6aefonXr1tSdIXv16oUXXniBOkzg5MmT8PDwgIuLC1XSoVqtbqwGQtNsRkd6ejqEQiG19xrQJtkZqwxmirNnz6JXr17URrOioiLq1vaAdv0VCoVmqzI1RdeFlLY1ujl45dkIjx8/hlAoxIwZMzgX4TNnzsDOzg75+fmcA2TmzJlUip5arYaNjQ2VmyM3Nxe2trZUg3PFihXUA9/a2ppKebxz545eIL45hgwZQhWCoFarYWtrS3XMxYsXU2VvA6BqJAJoJ/YBAwZQHXP58uXU1zQ8PNwg894UISEhRrP3jREWFmaytuvzTJs2jbqSxLJlyzBp0iROufr6emzevNloDdDnefjwIbZv3w5fX1/Oe3H58mXMmDEDvXv35pzsHj58CEtLS/Tp04fTXfnkyRN07NgRnp6enLKlpaV477330LlzZ+qNX3PhlWfT2NraUjUVAoDevXtTewX69u1LZZllWRYuLi5USV26jTSXF4NlWVy/fh02Njac4+/BgwcYM2YMZ/MLjUbTqDRyWd7v3buH1q1bw9ramvMZjIqKwgsvvIBhw4aZfQblcjl69+6NYcOG4fjx42aVH41Gg61bt+LKlStUhoTs7Gxq5ai+vp5aFtCun7RNPwBtFZikpCTq98ybNw8WFhaIjo6mMm6UlZXhgw8+wBtvvEHtQVm1ahXatWtHXcigoaEBGzduhFAopM6PUavVWLNmjdlyvc9TUVEBoVBItQHQ4efnRxVqpGP27NnUxjtAa9U21Y+gufDKswlWrlxptE6hMVavXo033niDs36xRqOBh4cHRo0axekyz8jIgLW1NdXCMWnSJCrlqa6uDmKxmEqBXLRoEXVpI9qugdOnT6eK15PL5XBycqI65pAhQ6gWzCdPnpiswfw8o0aNonJLKZVK6l1vZmYm1XfSaDRISUnRS9o0RWlpKU6ePAlfX19O2eLiYmzYsAE9e/bkVHDr6+sREhICFxcXzsVNrVbDysoKjo6OnNYClmXRtWtXfPbZZ1TeGplMhtatW1NtuFxcXPDSSy9RxSL37t0bn3/+ObZs2cJ5LQIDA9GnTx9cuHDhT0kONAavPBvnxo0b1EnD9+7do36+r1y5QmWh1mg0iI+Px/jx4zlls7KyMGjQIOzdu5dTdsqUKRAIBJzKVFVVFd59911YW1tzPofbtm0DIQRhYWFm53e1Wg0LCwsEBgZyep+ePn2KVatWUa1BCoXiL3s+/q/CsmyzFEeWZbFgwQKsXbuWqkoRoLXUvvnmm3B0dKTylgO/9QZYvXo1lbxSqYSLiwvVeqAjPT0d3t7e1IUVNBoNjh07ZrLUnDGa48kFtJ5JWu87Df9a5bmurs5sMpFarcamTZvw3XffobKy0uxEd+7cOXz99ddwdHQEoJ1ITB17xYoVIIToWSuNTU4syyIkJATvvfee3oOkVqsNHqyamhoIBAKj7vXnrWW6dpbGLOpqtbpxR52fnw8vLy9TXxkAGkvlOTg4cLZEVigUWL16NVWsUVVVFVxcXDjlAG3jhLKyMs4HKCYmBmvWrAEAs/dd94DpFoKKigqjFpeqqips27bNIEzBWOzg2bNn0bNnT4OQkfLycoMHecmSJejevbvR8fa8RWvmzJlo166d0UWwqqpKL+Z32bJlIISYDMFoWlVk69atIISYjDtr+uzs27cPDMNgzJgxJu+Bzi149OhRvPnmm1i5cqVJ2YaGBhQXF+PEiRP45ZdfOOtw5ufn4/z58wgPD+dURhQKBa5evYrdu3dTTbgPHjygioUGtAsMTbUEY/DKsyFqtRr9+/fXe2aqqqqMKoZPnz6Fv7+/0efreU6fPg17e3sDi1tFRYXBmJg6darJ5N7nw3e6du2K//znP0a9E2VlZY0by/z8fLRs2RIODg4mF3HdmJs1axa6dOliNlyipKQEJSUl8PPzo9rwX7161WwCX1OePn1KXX2BZVnqkmuA9jrQxtkqlUpcunSJ+tgPHz6kqvQDaA0FzWkHnZGRQW0RVqlUzYoNLikpoc4fArSJzgcPHqTK0VIqlcjKykJ9fT0+//xzzJw506xXPTc3t/F5iI+PByEEkydPNrlBahr6wbIsunTpgp9++snks/O8oWX+/Pn49ddfjW42jOlHN27cwJAhQwyMJTU1NUaNWRUVFdi+fTvmzJlj8Pffy79WeU5LS4NEIuFccOvr6/H48WP069fPrOKnUCgwd+7cxrbItra2Rl1yLMti+fLletZab29vvTqlOvbs2YM2bdrouWOuX79uYDUpLy/H119/jc8//9zgGM7OznoKwL59+/DOO+8YDXU4ceJEY/k7jUYDGxsbs5YUa2trAFqFPDEx0azFIyYmBiNGjKCKiS0uLsa7777LKceyLKysrDBhwgSzO9zHjx/D398fmZmZePjwITw8PEzK+vv7Y9SoUVCr1WBZFq6urkYnp61bt+K1117TC8M4cOBAY4fGpgQEBOC1117Ti+2rqamBlZWVwYIvFovx8ccfG0yisbGxBhbmn376CXZ2dgZKQnV1NWQymd6C0717d4waNcromExISICHh0fjxOjg4IANGzYYnShrampgb2/feL1DQ0PNdpbcu3cvevTo0ViT1ZwVq7q6Go6Ojjhy5Aju37/P6SHZuXOnWSWkKSUlJbC3t6cO8Vm/fj3s7OyoYs5zcnIgk8mok0afh1eeDRk/fjz++9//6s3Pffv2NeqFCAwMxIcffqiX/Z+WlmbUe+Pg4ID27dvrKVcsy8LNzU3v+WRZFh999BG+//57AyXv1KlTeonaGRkZeOmll4zWYpfL5bC2tm70jkVFRWH8+PEmvVXr1q1DSEgI1Go11q1bZ9arpeuaSVPVo76+HsHBwVR9B3RVNXTdPrnQ1QemSUi/desW/P394ezszHnsjIwMjB8/HkKhkNMD/PjxYyxcuBBWVlbw8/Mzq8hXV1cjLi4OvXr1gpWVFRYsWGDWan7v3j1ERUVBKpXCz8/PrMWeZVlcunQJw4YNg0gkwtSpUzk36qmpqQgICICdnR2VIn/16lW4ublhwIABVOEjKSkpkEgkiI+PR2ZmJqfOs2fPHkil0sZNlre3t0mPHsuyGD9+PKZOnar3fV5//XWjMd7V1dWQSqUG3W9//PFHdOnSxWBTe/78eaMepYkTJ6JVq1YGelNwcLBRXWD79u1o27atXr3zsrIyvWphzeVfqzwDwM2bN6njfpRKJdzd3TndcrobsX37dgQFBZm8Mffu3Wu0DBYXF5vspHPr1i1MnDhR72/+/v4GCsvdu3fRoUMHA6vCoUOH9NrWZmVl4Z133jGanapQKBrLyRUVFaFDhw5mQzK8vLxQXFwMR0dHvP7662YH4YYNG+Dk5ISvvvqK83qPHz8eb775Jqe7ftasWfjoo4/w7bffciruLVu2xPbt29GrVy+Ti41KpQIhpDGxc9myZSaTlSZPnowuXbo0Xu+bN2/C0tLS6GT29ddf68VlNTQ0wNHR0SCmubq6Gt26dTOwdu7atQseHh56im9eXh7GjRtnMDFXV1fDxsZGr7ZrcXGxyWSVhIQEuLm5NS7ScrncZAmi6upq2NraNm4YWJY1G7O5fft2uLu7Uym3T58+haWlJVVNWpZlMX/+fPj5+VGFzNy5cwdCoZCqPJRcLkdQUBBGjx5NlVSyd+9eiMXi392aG+CVZ2NYWFhAIBA03t+MjAyTm96ff/4ZAwcO1Jt/XFxcDDagLMuiQ4cOBs/C7t27DVp5p6enw9bW1mBOLisrg0Ag0Nuw7tixw6hCxbIs/P399TZV5spvxcTEwNvbm2rcpaamQiQSUXXNfPDgASQSCVXir66SxNSpUzmfrdu3b8PNzQ2DBg0y66FhWRanTp2Ci4sL/Pz8zCZtNzQ0IDY2Fvb29ujTpw+OHz9ucm4vLS3FmjVrYGdnB09PT+zcudPkZre8vBxbtmyBu7s7bG1tsWTJEpOeIpZlkZaWhsmTJ0MsFmPAgAFITEw0O9c9fPgQU6ZMgUgkQlhYGC5fvmx2Payvr8fGjRthaWmJIUOGUFntr1+/Dg8PDwQGBlJZv8vLyxESEgJfX18qK79SqcSoUaMQFBTUeB1VKpXJXA+NRoPBgwcb9G2IiYkxen5KpRLOzs4GTYZKSkrQvXt3A91F96wZS9K2sbEx6HNhrg57ZGQkPvvsM73PGDNmDFVdc1P8q5Vn4LeMU5q4SrlcDgcHB+pErokTJ1KXLEpMTDQZ3/e88vH48WNYW1sbPJwZGRkGjV40Go1BnM+lS5dMWiA8PT0bd6aHDx/Gr7/+avKcJ0yYgNTUVGzatAnt27c3KQdokxr69euHtm3bcloUfX198fLLL3Mm0yxatAjt2rXjtKbs2rULXbp0wenTpxEYGGhSrqSkBJ999hmqqqpw584d2NnZmbQaDB8+vHGCKCwshEAgMLqA1NTU6HkOVCoVvLy8jMaoFxYWGizW+/btg4uLi8FCZuza1NTUwNbW1myzlqbs2rUL7u7uVApoZWUlrK2tqY+9du1aeHt7U2VNZ2dnQyQSUZVkUqlUCA0NxaRJk6gsBgcPHoSlpSV1SUlLS0uq/AG5XI6hQ4ciODi4WQlHxuCVZ0Osra31QqCCg4ONuu5ZlkVAQIDec3ry5EmjScyPHz82WCyrq6uNdmvNyckxGLssy8LLy8vAFW9qHM6ePZu6FGNcXBx69uxJ9bzs378fMpmMKhY5NjYWlpaWnEq2UqnEnDlzYGNjw2kRzsvLQ2BgIHr37m1gQWyKWq3Gzp07YWVlhREjRpgNpbh79y7Cw8MhEomwcOFCg+9WX18PpVKJmpoabNu2Da6urujRowc2bdpkoNypVCrcuXMHxcXFWLt2LZycnODo6IhVq1YZtbo+fPgQDQ0NuHLlCsaPHw+RSIRBgwbh+PHjRjcyuvmyqKgIS5cubbR2JyUlcW58MjMzMWrUKIjFYqxYsYKqXOjNmzfh6ekJf39/qrAOlmWxfft2CIVCal3l8ePHsLGxMdnJ9nmUSiV8fX2NJt8Zex50FWOMJffl5+cbPH8sy8LDw8No0yqWZQ2qiigUCojFYpMlF8PDw/WMQnl5ebCzs+M7DP7RhMG8vDzqupg1NTWwtram6kSm0Wjg6elJXWEhNDSUuixYVFQUda3CZcuWGTTPMGUpWL9+vZ6sufJIGzZswLZt26BWqzmT1qKjo7Ft2zbY2dlxnm9QUBDs7e055Q4dOoSffvqJsyrJoUOHkJSUBBsbG7NKVH5+Pm7cuAG5XA6JRGJ2stfFZtXX18PKyoqqO6VuAqGtznH48GH06NGDKnSgpqYGdnZ21C2ud+7cSa04l5eXw8rKijP+WMfixYvRv39/qrji27dvQygUml2EddTW1sLd3Z2qZijLspg3bx68vb2plNvk5GRqN3V6ejqkUil1djsXvPJsSNPx8OTJEzg4OBiVUyqVeoYBXSgXbTxtWFgYdQmxtWvXYvLkyVSy+/btQ9++fakW5z179sDV1ZWqqcXKlSvh5eXFOSfowjSGDx/O+YxfuXIFUqkUq1atMmvYKC8vx5gxY2BnZ2cyBlkul6Ourg4rVqyAUCjErFmzjMaeV1ZWYt26ddi8eTNkMhn8/f1x7tw5o9fr9u3b+Prrr+Hl5QWZTIZly5aZvL/p6eno1q0bPv74Y7i6umLjxo0my0uyLItVq1ahTZs2EAqFGDZsGM6cOWN23tq5cycsLS3h5OQEV1dXxMbGms33qaysxK1bt3Dw4EG4uLigd+/eOH36NNW4uHXrFnr16gVfX1/qBiMZGRno0aMHIiIiqBudHT9+HEKhkCp2GtCOLXd392bVSo6MjKQuOQloc39mzpxp9DVj127GjBlm19Xnx2BgYGCz4uiNwSvPz3j69CksLCyoAvwrKioglUqpLGU1NTWQSCRUg19X6oirJTSgHcDGLCamzkEqlVI9sAUFBejZs2fj7+bec+bMmcZYJ67OWwsXLkRiYiJVfWEnJycqC+eDBw+ougvW1NRg7969Ztt3NiU8PJxKMWJZFn379sW+ffuoZEeOHEldBzk5ORn29vZUil9tbS3s7Oyo6o4CWiuXh4cHleJcWloKCwsLnD9/nlOWZVlMnz4dw4YNo26fLZFIqMZ7YWEhLC0tqappyOVyBAQEICoqinPMazQazJo1C7169aLKcN+2bRssLS2pk4Zo4JVn84waNYra4xEfH68Xf2mOq1evciZF67h//z5kMhlVSIUuhItGedFtkLlCmzQaDcaPH4/hw4dzbkrT09OpwjRqamowYsQI9OzZ02St34KCApSUlGDevHmQSCQ4fPiwScvi9OnT4ejoCJFIhHXr1pn8Tnfv3sXnn38OhmGwcOFCs0lbcXFx+Oyzz/DFF18gOjra7PfJy8tDaGgogoODMWHCBLPXlGVZbN26Ff7+/ggKCuJslqOrQPTyyy+jQ4cOVHHm6enp+OKLL/Dhhx9i6tSpVPPcpUuXsG/fPvTp0wfe3t7UpRcVCgVmzJgBW1tb6vdoNBrMmDEDXl5ezerOZ29v36zW1uvWrcPgwYOprbxXrlxpzJOh4eHDh82yIt+5cwe9evWikjUHrzw3oaKiAjY2NlRdp4qLiyESiahilXQdBmlaBTenyP6OHTsM4n5MMXLkSOqyMbQ96J88eUJVJg3QujBpraIWFhZUcps3b6aq2ahUKiESiagmiKSkJOqujVOmTOGsv6pj5syZ1Mq7rvMWTYe82tpa2NvbU3s3dIozzf0tLi6GRCIxmxCog2VZjB07FhMmTKCaxA4dOgQbGxuqZ+LevXsQCARU1v3CwkLIZDKq0IvKykp4enpi/vz5Zs+ZZVnU1taif//+CA8Pb1YdWRp45dk0paWl1J1JFQoFdedMXck2mnCehoYGWFhYULUjLioqgkAgoFKUjh07RrVBbmhogK+vLxYuXMh5HWJjY2FhYWE2TCMxMRFHjhyBQCAw27GwsLAQX375Jb7//nts3rzZpNKuUqkQFBQEhmHQtWtXswYdnVV648aNOHToELWH4O9GqVQ2q7FGbm4uAgMDERoaivnz51PNGadOnULbtm3x6aefUlcuSUlJwfr16yESibBhwwZqhbO0tBQuLi5YtGgRtdJZUlICS0tLqnKzOg4fPgwPDw/qcnKVlZUQCoXU44JlWTg6OlKF3erw8PCgtuSbg1een6Ourg7Ozs6crUWB31p0Z2RkcMqeP38ePXr0oHoAZ8+ezbnLBrQDx8bGhqpE1qNHj8xWmWjK5MmTqRO3dAmGXERFRVG5/YuKiqh3hQ4ODlR1NFetWkV1PXWJmzQWyO3bt2PAgAFUE8/KlSsxaNAgKtnz58/DysqKStGvq6uDg4MDdYvhHTt2UDUGAX7r9ETTvVKj0SA0NJTKLceyLGJiYuDm5sapNNTX1+P06dOQSCScYzw7OxvXr1+HQCDg9G7ougsKhULOhaC6uhohISEQi8XNsrY0B155Ns3UqVOpaicD2vq1K1asoJJdunQpdT7KqFGjqFzUDQ0NkMlkVB7JM2fOcG6QFQoFKioq4ODgwLkezZs3DyEhIRg2bJhZRS0lJQWtW7eGUCg0O8cUFhaiW7dusLS0xNy5c80qZU+fPsWDBw/+9E3lv4lHjx5hyJAhWLx4sclY6+dJT09Hu3btqDo66sjJycGiRYsgEAiovIk6Hj9+DLFYjMuXL1O/58qVK9TN1gDt2uDt7U1tZAO0yYm0BkRAW1Y4ODiYWt4cvPJsBIVCgd69e2Ps2LGcsc2PHj2CQCBAdnY2pyK3adMmDBs2jPPzdR32aDL4L1++TNVQAwB69uxJlZ196dIljBw5kuqYtMrz5MmTjZbje54jR44YZO8aIycnh0rJrq6uhlAo5FQYdQkKNOeYkpICOzs7zmNWV1cjNjYW3t7enDvv7OxsXLx4ERYWFpzWWJZlcfnyZTg6OlJlC1+9ehWxsbHo2bMn5zkrlUokJCRAJBJRWXp37NiBwMBAqs3J6dOn4evri4CAAM7EqIKCAnTv3h2Ojo6cG4n6+nr85z//Qbdu3TjLMOma+rz44oucGwNdWA4hBKtWrTIr+0fglWfjVFdXUzd1qq6uhkgkokq4y8/Ph4WFBZU17OjRo1QNVXSJi1wej9zcXKSkpMDS0pJzXAcEBEAikXCWLzt06BAIIZwtxLOysiCTyTBu3DicOnXK7GbeVE1tnn8GFRUV6N+/P2bOnEndqVHXw6Bly5bU8b5KpRJTp06FUCiktoZrNBpkZWVBJBJR1xQHtDkFERER1PIlJSUQiUTUmzaWZSGTyai8QjTwyrMJsrKy8Morr+CHH37gHJh37tzBxx9/TFVDc9SoUYiMjOS0TmRnZ0MqlVK57vv160el9J05cwbh4eGcchqNBmKxmFMOANzd3akKjY8bN47Kijlr1iyqEIQZM2bg4MGDnHJTpkzh7JQol8uxevVqzlhJlmUxe/ZsCIVCk0koOhQKBbp3744ePXpQWXrd3d3x4YcfUrmRjxw5gpYtW5pMqGiKWq3GN998g48//pjKSt+c7lM5OTlo3bo1BAIBp9KiVCrx3//+F23btqVKDuzVqxfatGmDrVu3csqOHTsWH330EebOnct5HgsWLICtrS127tzJOekeOXIEY8aMoU6k+b3wyrNxFixYQN16NzIykrpFvZeXF+dcpFAoUFBQAKFQyOmJOnPmDMaMGYNp06ZxfnaPHj3wySefcLqlDx8+DEII+vTpY3acFhQUwNvbG1u3bqVqVMXz72XevHnw8/PDyZMnqTdGixcvBiGEyqClQ1exhDYvpLy8HDdu3ICtrW2zQmMCAwOpk9gBbRLv82V//wj/WuWZZVlON/rt27fRq1cvrF+/3qxsXl4ePDw80KZNG87EuRs3buCFF14w2kzjedavX4/PP/+cM57nyZMnsLKy4lRKWJaFVCqlCkvw8/OjGvxjxoyhclOOHDnSbH1PHV5eXpzXkGVZPSuTqQSWmzdvGo2XfP53Hx8fdO/e3eji0nTjdPr0aRBCMGzYMJPjQffwr1u3Di+++CKmTZtmcqLSaDTQaDS4fPkyXnnlFUyePNlsvKZarYZGo8H3338PT09Ps/ebZVloNBps3rwZXbp0QVxcnNkJU6PRoLKyEp07d0ZkZCSnVUyj0cDPzw+hoaEmk42ansuaNWsQHh7OKQto65nOmTOHKh66qqoKBw4coLK8sCzbLKtDcy1vv9dSxyvPhsjlcqpNma6zHU1cdEVFBSZMmIDhw4eblQO0DY86duxIlaCqaw1vap7WnVdKSgpefvllREREmH3O6+vrMXr0aCrroK6ZEy3NGaO6OYSW5ig+Go2Gykugg7ZyBKDdJNDKazQa6hbaLMuisrKSyqClOzaXkaUparWaqgCAjua0mWZZtlnd9NRqNYqLi/Hrr78iNjaWc37VjZOcnBy0bNkStra2JsM1nh+vupKzpurwPy8vl8sxYcIEDBgwgPbr4OnTpxCLxdSJkTT8a5Xn1NRUBAYGUsd/DhgwgFP5O3XqFLZt24br169j1KhRJuX279+PTp06Nbo0TBWZ37lzJ9q0aaNXK/Tq1atYvHixnlx1dTV++uknfPXVVwbHCA0N1ZukNm3aBE9PT6Ofd/r06caC/nFxcVi6dKnZeKXw8HCsWbOGqjKFTCajkrO0tERxcbFJCznLsli7dm3j62q1Gn5+fgaNV3Jzc9G6dWuMGTOm8eHTlSZq6iEoLi5Gy5Yt0bdvX72Ji2VZHDhwAGKxuDGerHfv3oiMjDRqCbp06RK8vb0xadIkKJVKhIWFmdx8FBcXY86cORAKhXj48CG2b99uVqlMS0tDv379EBYWhvT0dLMJfCzLIjk5GVZWVrh69SoOHz5sdpFSq9VYvnw5fHx8cP/+fU43W3FxMfr06YPExESqOLtjx47B1dWValGor6/H4MGDqTv1paSkwMHBgWrRrq+vR1hYGHUd03PnzsHa2prKJVhTU4Phw4dTJa8ag1ee9amvr8cvv/xiUMt7+vTpBnVu8/Ly8PLLL2PcuHF6sgUFBQZzyJ49e0AIMRrrPH78eD3lt2/fvvjoo4+Mxnimp6dj6NChALQewk8//dRkjohGo8GAAQNw7949bN68mdOzdPz4ceqYzKdPn8LV1ZWq8oOuA+7AgQM5ZTUaDfbs2QNLS0vO8q1qtRpJSUno1asX57F1VY8GDBgAsVhsch5raGhAamoqoqOj4evrC6lUaqAoqVQqZGRkIDExEUuXLsXQoUPh4OAAsViML7/8Ejt37sSjR49w4cIF7N69G8uXL0dERAQGDBgAR0dHWFtbQywW47PPPsPXX3+No0ePYvv27Vi6dCkmT56MwYMHo2fPnpDJZLC2toa1tTWkUim+++47rF+/HllZWbhw4QISEhL0jt2jR49GeZlMZpBQz7IsioqKcPbsWaxfvx5jx46Fq6srrKysYGNjY7ZCSllZGQ4cOIAxY8bA2toaDg4OnPpLcXExli9fDmtraypvokqlwsaNGxvXJi6lWa1WY968eY0W3YiICCxcuNDknFxXV4eePXvq5Yn9+OOPsLS0NKqT3L9/32BcJScngxBitIb6vHnzjNZh79SpE5ycnPTWQrlcDn9/f77D4O8hNjYWjo6OVDuywsJCiMViqlJrgDY84/lC3k0pKyvD7du3AZivsHH79m29RD+NRgMLCwsD6+zevXvRunVrA+Vn5syZeqXUIiIiQAgxGuZx9+7dxuYCq1atwquvvmo2oUomk2Hu3Lno0aOHWWvx48eP0b59e2zevNmkDKCtR/3dd9/Bz8/P5GJUX18PQgi8vLygVqsxZMgQo0lCu3btQrt27RrjdisqKtCrVy9ERkbqPdgbNmzAsmXL9B6gCxcuwNbWFuPGjWu0fiqVSoOYL6VSibi4OFhbW2PIkCGNGbzG7iPLsjh//jx8fHxgb2+PXbt2mVVqNRoNEhMT4ejoiICAACqr/fnz52Fvb48RI0ZwWu8BrfJpYWGBJUuWUCmgu3fvhlAopEo0aWhowKhRo+Dn50e1279z5w4kEgmV4qxWqzF9+nR4eHhQNYq4efMmxGIxVRJwfX09Ro4ciT59+lAdOykpCQKBgLrttzF45VmfW7dugRCiF5akq6Ly/EKXkJCAN954wyAMw8/Pz2COGzRoEIYMGWKgEBw/flxPyamrq4OXl5dRq2FFRQWEQmFjp8C0tDSTlkiWZRESEoJly5aZ/K5N2bRpE5ydnak8g0lJSdRdM48ePQqhUIh169aZtSSr1WrExsZCLBZj2rRpZj0/2dnZiIyMhFAoREREhMlcmqysLERHR6NHjx6ws7PDggUL8ODBA1RUVKCkpAQsyyIjIwPbtm3DsGHDYGVlBVtbW4wZMwYJCQk4deoU+vfvD5FIhOHDh8PR0RGWlpawsbHBwIEDMW/ePOzduxc3btzAzJkz0aZNGxBCYG1tjaCgIERERGDFihXYvXs3UlJSkJ2djfr6ety5cweenp5499138dlnn2HevHnYuHEjDhw4gJSUFDx8+BDl5eXQaDRQq9VYtmwZXnvtNRBCIJVKMXDgQEyePBkrV67Enj179I4NaNf3qKioxmvp4+MDKysrWFlZwdvbG1OmTMH27dtx5coVvfmx6ZqQl5eH7du3Y9CgQZBKpXBzc8P8+fNx6dIls2tHXV0dYmNj4eLiAmdnZ2zdupXTWq5SqbBlyxYIhUIsWrSIynKfkZEBGxsbREdHN44rc1b84uJiWFlZ6bXIfvDggckW5rqCDM/3Wxg1ahSCg4MN1qwLFy7Azc3NYI549OgRWrRoYZD0O3XqVGzZsoXze5riX608A8DZs2chFoupWnQ/ffoUEomEugJB7969qTPFFyxYYLIGcGVlpd7DcvLkSQwePNhALjk52SBT9cmTJ3B1ddU7r549e2LHjh0G71er1Y0JgBkZGXj55ZfNxhTJZDKMGDECrVq1Mqt8lZaWgmEYznjrYcOG4b333oOzs7NJmSdPnuDVV1/Fw4cPERkZaTJOee7cuY2xqhcvXoRAIDBaqq/pxHX37l14eHggKCjIrIWorKys0XI8b948s4tMdXU1Vq1aBalUirCwMM4QnPr6eqxduxYikQiTJk0y2/ZWx9WrV+Hs7IyQkBCqmOni4mL0798ffn5+VMcvLS2Fj48PwsPDqTKn79+/D6lUSlWhgGVZrF69GjY2Nmab0ujIy8uDvb09VqxYQVXDef78+XB0dKS6LpcuXYJIJKJSsktLS+Hv74+QkJA/7ArklWd9du3aZRAaNWzYMKMb+blz5xqEjZ0+fdpot9aEhASDMVNeXg6hUKhnQKmrqzOqZKrVajg7O1PFWbIsi2HDhmHBggVUshEREQgJCeHcxDY0NGDkyJEICAjgLMmXk5MDLy8vDBkyxKxSo1QqsXHjRohEIsydO9fkceVyeaPBqVevXjhy5Iie0nP9+nWoVKrGGHCJRAI/Pz/Ex8c3Xl+FQoGlS5eiXbt2EIvFsLCwQFBQENauXYu0tDS975+eno4hQ4bAysoKv/76K27evMnpwaqursaZM2eoEuMB7bWnCSUDtOMiJSWFMzzyyZMnGDRoELp27YqPP/4YR48eRUFBgdn5qqysDEOHDkWfPn3g4+MDiUQCHx8frF69Gnfv3uUMn1GpVI3JrVZWVli6dClVuTe1Wo1t27ZBKBRi/vz5VB5CjUbTaM2myV8BtLWYhUKhge5karyXl5dDLBY3GhibcuDAAYNrWVZWZjIXaffu3QZrUXp6OhwcHPgOg380YfDBgwdGb6wxiouLIZVKqXb8crkcNjY2VLFrGo0Gzs7OVPHDgLZWobHsV2M7ODc3N70Joq6uzqRl19raunFAL1iwwGzTGJlMhtzcXHz77bdmz/XixYv44IMPOCuXzJ49G99//73ZIu93795FfHw8oqOjMXToUJODv76+HhqNBnPmzIGrq6vZcIT8/HwMGDAAnp6eRj9bd03v3buHQYMGwcbGBrt27TL64FdUVEChUODWrVsYPHgwLC0tsX79epOTku78i4qKEBkZCZFIhFWrVlEpqbdv34aXlxcCAgKoFgu1Wo2VK1dCLBZzZvDr2L9/P4RCIZW8ThGWyWRUNXHLy8uNegNMsXv3bojFYio3tU7JXrRoEefC09DQgAkTJui1pjcFy7KIi4uDUChsVrKKOXjlWZ/bt2/r3bOcnBw4OjoalX3+uVIqlRCLxVRZ/rrSWLT3ceTIkVizZg3VcUePHk2V0Kur4Txv3jzOhVzXFGr79u1m5eRyOaKioiCTycx6SuVyeWMnQGMhekqlEpcuXcKNGzcwdOhQSCQSLF682ODalpeXIzAwEG3btoWFhQUmTpyIlJQUg7WIZVkkJCRg1KhR8Pf3/9M6dP7T4bqvV65cgVgsRocOHSAUCqmMCIB2k7lly5bGtuaRkZHUyqzOyyASiTBnzhzqOO7c3Fw4Ojpizpw51LWbL168CJFIRLUmANq128bGhrqUnrlW3gAMNoO62tB/tNYzrzw/o7i4GNbW1lS1XHVd12gqXJSUlEAoFFIl3xUWFkIkElEN5PT0dLi4uHDKAdosU5qJHNBaeHQWW5VKZXb3KpPJAMBsoX1AWxkjLCyMU4mJjo7mjPdTKpXYvn07fHx8zB6vqKgIPXr0MFkEXi6Xo7y8HGPHjoWtrS0uXLhg9DiXLl2Cp6cnnJ2d4evra7bO5f379/H555/DysoK/fr146yJmZOTg8DAQPTv3x/29vY4ePAg5zUqKipCRkYGfHx80Lt3b+puUqmpqbC0tMSiRYuoEnXKy8vh7++PoUOHUlkjSkpK4OnpialTp1IpwufOnYNAIKBSXOrq6hASEoLBgwdTuRN37NgBiURCpWRfv34dEokEMTExnItcfn4+3N3dMW7cuGYlMHHBK8/m6d+/P5WxAtB2MqWNPd+6dStVhSRAG1IRGhpKJTtp0iRERkZyypWWljZWfjEHy7JYt24drK2tOTfJBw8ehFAoNDmeS0pKcPbsWSxcuBBCoRBr1qwxGtdfUFAAsViMt956C8HBwUhNTTV6vIaGBsybNw9hYWEYPnz4n9J8gsc89fX1GDRoEAgh+Omnn3Dx4kUqC2ptbS3y8/MRHx8PsViMmTNnUjUUArRjcOPGjZBKpVTzqo49e/bAxsaGOnFSpVLB3d29WTX1zbXyNsa2bdswefJkanlT8MpzE+rr69GrVy+qGLWysjJYWlpyWlMBIDMzEyKRiGoAJSYmIjAwkOp8hw8fTlXWTalUQigUUmVOb968GRs3bqT6fJ3yzPXg2tnZccbxmYrlfp7ExEQ4OzubTZRITk4260mIi4uDVCqFWCzGwYMHTZ5/fHw8XnrpJbRq1cqkcq0jKSkJ//nPf/Dzzz9TNWq4fPky3nvvPRBCqMqxAdoyfp9++inc3NyoYu9LSkqQnJyMgQMHwtfXl7PShC4D/tChQ1QNRHTorjfXNQK0Fo+oqCh4enpSPQ+6eGWuFui6bHJfX1+MGjXKbCa6UqlsrF/q4uJi1m2rUChQVlaGVatWwcLCgjOB6vfAK8+mefDgATw9PalkHz9+DEtLSyqLWE5ODqRSKVVC6IULF+Do6Ei16YyKisLYsWM558TMzEyqZ0bnnYmIiDD5+RkZGdi3bx/c3NwwcuRIk2FEeXl5+PLLL9GuXTts2bLF5PEqKiowcuRIDBs2DNOmTWtWxQiev56bN2/i4MGDOHPmDNLS0qgUZ13nvs8++wxRUVFUcfWAVpktLCyEu7s7IiMjm1XuMDo6Gr1796auCsKyLAYMGECtfwDNb+WtC9NqTqUSU/DK83NoNBqMHj0a4eHhnGWAKioqYGVlRWU9u3jxImxsbKhuWnh4uNGY5OcpLS2FWCymsvSNGzeOqmvg7du3GzPJudApz+aoq6uDra0tp1xMTAxnh7qUlBRYW1ubtITu27cP48ePh4+Pj8nJIS4uDi1btkSXLl3MxsHK5XKcOXMGOTk5VNe3uSWdDhw4gEuXLuHp06eckx/LsoiMjMS7776LHj16UMXv1tbWolu3bnjllVeoOzZFRkbCzs4OgwYNorJILFu2DCNHjoS/vz/nZFxTU4P169fDzs4Oy5cv5/zOW7duxdKlS+Hg4MAZk5iRkYERI0ZAIBBwjnG5XA53d3dYWFhg3bp1nG25+/fvj6+++gpz5sxpVmmt5sArz6bp06cPtaWrb9++VBZqXRMqmqYPeXl5VHXdAW38dXh4OOeYunDhAqc38tatW1iyZAmnd6agoACdO3fGm2++abYeeWlpKQYOHIiwsDCsXr2a2uLI83+fkpIS2NjYwMLCAuPHj6dWHG/dugVnZ2fqTrM6NBoNRo0ahZEjRzZrXZwwYUKz6klXVlZCIBA0q8V7SEgIkpOTqeXN8Y9TngkhHxJCThFC7hNC7hJCwrje81c0SVmxYgV69uyJuXPnmpWrrKyEtbU1Tpw4wRlnt2fPHvTp04cqBlMqlTZmdJtj0aJFVHF4Dx8+RN++fTnlVCoVlVIM0CnPycnJnM0D6urqIBAIzLrCb9++DbFYbDLxJTY2FoQQDBw40OTiJZfLcfTo0WY9bM2BZVnqmqHNoaGhgSqxT4dSqURQUBB8fX2xYcMGqnPauXMnCCGQSCRUYRrx8fEghKBHjx5Uyr+3tzcIIZwuakAbYtKqVSv89NNPnAprbW0t/vvf/4JhGM7cApZl4efnB4ZhqFq6zpkzB6+++ip8fX3/1Pqgz8Mrz8a5fv06dffUEydOUJVhA7T31VwlJB11dXWQSqWcnV4VCgWWLFmCwYMHm30W7t69i+DgYNja2pp9JquqqvDZZ5/hlVdeMZtgXFVVhYCAAIwYMQL79+9vVo3g/9/hmpOePn2KhQsXYuTIkejfvz/nZiIxMRHjxo2Dn58fVck33TkUFxf/7c1pGhoamp0YV1pais6dO+Oll14yWxr1eVauXAlvb2+q56spS5Ys4dx4NoVlWfTu3RvHjx+n/oyUlBTq+YSGf6Ly/D4h5Mdn/3+VEPKQEPIfc+/5K5RnpVIJa2trMAzDac2oqqqCWCxG165dOV2GS5YswejRozld4vfu3YNMJoNKpTI7oBQKBYRCIZUlgWvS1qH7XHNoNBrY2NhwHmvcuHGcgf8zZswwGbqgy0QXCAQmLZAPHjxA165dMWPGDOqkBHOo1WrcvXsX27Ztw/jx4zmvra5iy2uvvYZff/0VO3fuxPXr141aY2tqapCcnNzY7Ylmg/R7zr85k2V1dTWio6M5K4HoyMjIgKenJzZu3EjVyGT9+vVwcXHBjh07OBf40tJSODk5YebMmZzxnSzLYu7cuZg5cyZVoszVq1exZs0aqo1IbW0tTp069T9Z+Hjl2Tiurq569WBNoVAoqMPirl+/brIsaFOys7PRp08fvbJaxsjJyUHXrl0RFBTE2YRIIBCgZcuWZpPCWZbF8OHDERYWxhnL+kcqBfz/hkqlwooVK+Di4oJPP/0UkZGRuHXrltn8oWvXrsHBwQHt27dvLJEXHh6OLVu24Pbt23proFKpxJo1a/DBBx9AJBLB0tISbm5uiIqKwqFDh/TmlMePH6NPnz5444038Nprr2HVqlU4fvw4cnNzOcfdX+Xdai6bNm3Crl27qBMJAW0IRYsWLaj0Bx0PHjzAiBEj4OvrS22l1mg0WLVqFVVegQ6lUgmJRMKZEN4cTM3bjPa1vx+GYfYTQpYDOGZK5ueff8bVq1f/9M+ur68nMTEx5OTJk2T79u2kVatWRuVUKhWZMWMGWbhwIYmOjib9+/c3ecyKigryww8/kJdeeoncu3ePtGjRwqTsunXryIEDB8jkyZNJ165dTcrt3buXXL16lUyZMoW8+OKLJuW2bt1KKisrybBhw0zKEELIsGHDSEhICPnvf/9rUkalUhEXFxdy5MgRs8eytrYmSUlJRq+dRqMhxcXFxMfHhxw/ftzotUhKSiIODg5k6NChJDo6mjAMYyBTUVFB3njjDaOvNUWtVpOUlBTy6quvkh9++EH/Re2OkZAWLUjl48dk36pVJGH7dlJVXEy++fpromrRghS0aUPeeP998uHbb5MP33mHtOvUibz/4Yfk/fffJy1atCCbNm0iCoWCdOnShWRmZpLMzExSW1tLCCGkQ4cOpEuXLuSTTz4hpaWlJDExkaSkpBBra2tSV1dHAJBWrVqRDz74gHzwwQekY8eOpGPHjuSDDz4gHTp0INnZ2USpVBKRSGT2O/4vYFnW7Lh9nrq6OtKmTRsqWYVCQVq3bv17T+3/JAzDXAPw8999Hv9LzM3ZAEhKSgrZsmULWbt2rdnjlJSUkE2bNpE333yTDBw40Kzspk2byMaNG0l8fDzp0KGDSbnKykry6aefEmtraxIXF2d2rA8YMIDExcWRLVu2kJ49e5qU27JlC0lNTSXh4eHk888/Nymn0WgIIYS0bNnS7Hf5t/DkyRNy9OhRotFoSGBgIGnZsuVv8zxACMsS0rIlISoVUWVlkeSDB0nspk1E3L07qVEoSFp5OSlSqQij0ZCPXn+dtO/ShXz02Wekc+fOpHPnzuTjjz8mOTk55PPPPydKpZLcu3eP3Lhxg1y/fp08ePCAsCxLunTpQn788Ufyww8/kC5duhClUknat29PKioqyM2bN8n169fJ9evXSWFhIWnTpg35/vvvyXfffUcKCwvJ9evXiYODA8nIyCCZmZnk8ePHhGVZ8uqrr5IuXbqQTz/9lBQWFpKsrCxy9epV4uLiQn799VfStm1bg582bdqQV155hXOd+ztQq9XEw8ODiEQiEhISQl5//XWq9/Xv359s2rSJnDt3jnptCwgIIE+fPiWHDx+mek7y8/NJfHw8adu2LRk0aBDVZ9Bgct42plH/r38IIZ0IIXmEkNfMyf0ey/PNmzcRExNDJavRaDB37lzOZipPnz7F3LlzcevWLbMJTufOncNXX33VmFG6evVqozvO48eP44UXXtCrj5yenm6QpFhdXY0ff/zRaO3npvUN6+rqIJFITFpobty4gfv372PTpk2cDU3q6+vxww8/mJUpLy9vrAgSFxdnEC5x9epVdOnSxcDqfOXKFaxduxYsy8LJyQnLly83upNVqVRISkqCr6+vyXtTXl6OS+fOYbK3Nzo8K6Bv9+67OPHee7j61lvIbNsWpS++CBXDYPjPP0Mmk2H211/rVGm9H/XlyygsLETuxImNf6t7+WUUvPEG7rRrB2+hUBuicusWsHs3kJYG1NZCo9Hg8ePHOH36NNavX4/x48ejZ8+e6N69u561V6FQICcnB+fPn0d8fDwWLlwINzc3tG3bFoQQvP3225DJZNQ/phqrKBQK3Lt3D3v27MHMmTPh5+dHFeeuUChw9OhRhISEmC1hqEPX7TAsLIxTFtC6F6Ojo5GYmEgln5WVhfDwcCqLhUajQUxMjNkOXk3Jz8/H8OHDqSxBGo0GsbGx1Imfz0N4y7MeO3bsMNocITEx0SDePyQkBB07djSo0y+Xy/USj1QqFdq1a4effvrJqEdo7969jcdYvHgxOnbsaDIZu7KyEqtWrUJmZiaCg4M5E3E3bdrEGfqhIzs7m6o2NKC1ps2ZM4f62CdPnqQKVwK03qVRo0ZRxbrm5eU1ut3NoVKpcPXqVSxduhSenp4GuRgKhQLZ2dk4e/Ystm/dign+/uj6wQdo0aIF3m/bFsc6dEBqu3ZIf/VVFL30EhpatMC6Ll0gk8ngIxQanbPxrJske/t249+UL7+M8nbtkPXuu5j888/o1asXUFICbN8OpKYCTbyzarUaDx48wI4dOzB27FjY29ubnUNqampw/vx5REdHo1+/fnB0dDTqIaiqqsL169cRHx+P8ePHo1u3bnj99dfh5uaGlStXYt68eYiMjMTIkSMRHByMvn37wsXFpbHjoUQiwbfffgu1Wt3YBvz+/fs4c+YMEhISsHLlSkybNg2hoaHo1asXZDIZZ3inUqnExYsXMXfuXOpmPXV1dVi7di3mzJlD5aVraGjA1KlTkZub21jm1lyeytOnT/U6gt68eROEEPTr18+oTpCYmGiQIzFkyBC0a9fOwDvJsixV/o0pTM3bf/vkSghpSwi5RgjxMPF6MCHkKiHk6kcffdTsL65UKjFs2DCEhYVRLZBnzpyBVCqlMvvL5XI4ODiYDc1QKBSN8TobN27E+PHjjcqdO3cOP//8c2M4SFlZGaRSqZ7CIJfL4ezsjPfee89gIPTs2bPRpVRQUIDPPvsMbm5uRj9r/fr1iI2NxdmzZ+Hl5WXWbX78+HF88sknZpMPvL29MWzYMFy6dAkODg4GIS3Lly/Hyy+/3BjAr1KpMH36dLi6uqKwsBB1dXVG48jT0tIwatQoCIVCDB8+HMOHD8e9e/ewd+9ebdJOnz6I6dwZF9u1Q0GbNlAzDEAIbk2ahJiYGNxdvRr49FPg118BFxcgKAiYOBHQJfA8egRs3Qrs3AkcOAAcPAgkJAA6Bf3WLWDRImDKFGDwYKBnT0AiAXTnOmmS/gTeoQNgYQHo4marqoBmJFI0NDQgKSmJOr5LLpdj5cqVKCgoQGpqKjZv3ozx48fD1dUVlpaWsLOzw5AhQxAdHY1jx44hPz/f5ARSV1eHvXv3ws/PDxYWFpg2bRpu3bpldsKRy+XYsGEDxGIxxo8fz5nwp2sJKxAIsGbNGs7nsaKiAmPGjIGjo2NjB0lzpKSkwMrKCjNmzOAsMVdbW4spU6bA2tqaqj776dOnYWlpiaioqN8dc/pvUZ5p5+yQkBC8+uqreuFy1dXVEAgEBvNNly5d4O/vbzBmxo0bh9jY2Mbfjx07BqFQaDRk5+bNm7CxsYFCoQDLspgzZ47JGPf6+nrY2tri9OnTnK5plmUxffp0o93QjLFv3z6IxWKq8pPnzp2DWCzG2rVrOTeP58+fh4ODA4YNG2ZW0Ver1Thw4ACcnJzQu3dvnD592uRz/ujRI8yfPx/W1tbo1asX4uPjDVz8FRUVSExMREREBOzs7GBtbY0BAwbAzc0Nb775JgYPHgx3d3dYWVlBZmWFdV98gdTOnVH07rtQvfgiQAjKvL2Rn5+PaxcvAh99BPz8M+DgAAQEAGPGALo1trYW2LIFiI8H9u0DDh0C9uwBdGE/JSXA0qXAjBlAWBjg7Q1YWwM6Bf7IEf05+803gV9+AXTxvvX1AEVllj8KV9hnbm4uAgIC8NJLL+Htt9/WXjuZDF5eXggNDcXUqVOxcuVKJCQk4MyZM7h//z5KS0uNjhFdUnxUVBTs7e1hbW2NsWPH4tChQ5yGwuzsbIwZMwZisRhr1qyhmvvOnj0LkUjUWEYxKyvLrMJ9//59CIVCvTCnSZMmGXQE1nHp0iXIZDKDeuWfffaZ0c6iS5YsaVaC4vP8I5VnQkgrQshRQshIGvk/EvO8efNm2NvbU7UzvnnzJnXN5qqqKurSVizLwsfHx2RVhKKiIj1r8fTp0w0KzCsUCnh6ehrE/G7cuBHr169v/H3EiBH4+eefjX7O1q1bsXnzZkRFRYEQYjZ7u3v37mjVqpXZ+L033ngD7u7uEAqFRjcdgwYNaswkz8zMhEwmw8qVK40+GAUFBViwYAGkUimCg4Nx5MgRhIaE4NcWLTCRYXDr449xzNsbSUlJyDt/HmyLFsB//gP06qVVZjdtAii6SP4pVFcD165pJ/IZM4B+/QAbG0D3vfz9gbZtAbFYuwAcOQI0I7bMFAqFAosWLUL79u1BCGlsMb5p0yZcunSJOumtoqIC27Ztg6enJ6ytrTF//nyqMV9cXIxp06ZBKBRi+fLlnPFyGo0GO3fuhEgkwsKFCzkVW6VSieXLl0MkEpktMagjLy8Pvr6+6NevH1WZvs2bN0MgECAuLo7z2Hfv3oWbmxsGDRr0hxNQ/y3Kc9Mfc3O2lZWVQQm3iRMnGrRuz83NxZgxYwzuVWpqKjw9PfX+npqaanSh1pWu4hofgHb8ubm5UdWgVavVGDx4MKZMmcI5lhQKBcLDwxEUFMTZHKm0tBQDBgyAv78/55p16dIlODk5YdCgQcjLyzMpV1xcjNmzZ0MgEGDatGkmr0V6ejpmzZoFS0tL+Pj4YM+ePY3ne+HCBYwYMQKbN29GcHAwpFIpXF1dMWfOHJw9exb19fVoaGjAtq1bMbtfPyz54gvkCYVoCAn57fp8+CHw8ceAszMwciSwcqV2Hv0L0Wg0iI6OxvHDh6G8eRPYvx9YuBAYNAiwsgJ0davXrQNatULtF1+g0NUVmu3bAQqd4a+gsrISJ06cwPLly6kbldy8eRM7d+5EcnIyIiIiYGNjAxsbG0RERODYsWNUsc0sy+LEiRPw9PSEp6cnTpw4QWW1raioQHBwMPz9/amaFwFao4REIjHwPpnLezKW95Cbm4s5c+YYnOfNmzeNGvSawz9OeSaEMISQGELIEtr3/NGEwStXrkAgEFC5qDIzMyEQCEy6xJtSVFQEoVCIhw8fcsrq6jDSDK7q6moIhUIDa4axpiaFhYXw8PBo/F2pVMLf39/ocePj47FmzRrU1NTgnXfeMTs5//e//8VHH31k9uH54osv4OLiYtItk5ub29gAwNLSUq/A/p07d1BXV4ft27fDyckJbm5u2LVrl9bypFYDrq5gX3sNjSEVX3wB6NxSLKu1RPwP0VltHj58yD2h7N8PRXAwMt95B6qWLQFCoPnqq99ev3sXaGJJU6vVSElJoUoKbWhowIMHD5CYmEiVbAVoF8/g4GCsWbMGTk5OcHR0xMqVK6kUCu3p3sXAgQNhZ2eHffv2cU5ILMsiMTGx0ZLN5R5kWRaHDh2CSCTCsmXLOC3TdXV1mDp1KmxsbDgb1QBai4iFhQVmzZrFqcAXFhYiODgYHh4e1AmWXPDK82+wLGuQoJ2dnQ07OzuD58rYvZLL5RCLxVQeQo1GAzc3N6rumRqNBn5+flShOXK5HF5eXlRVGR49egQrKyvO47Isi82bN0MkEnEmm1+7dg1ubm4YMGCA0YRklmXBsixSUlLg6+sLBwcHJCQkGDxXx44dQ3R0NKZNmwapVIp+/frh4MGDerWxi4qKGivpvPzyy1i7di0ePHhgfA6cPFnrhdNZdzt2BJo2nvkTDAi/hwcPHuC1115D+/btDcJ/Grl6FRg/Hmpra9Q8m7NZhgF0ytqjR1qjSRPOnz+Pc+fO/akNlZpLWVkZhgwZghYtWqBjx46YPn06zpw506w6x7W1tVi9ejXEYjHGjBlDneTOsix27doFgUCAo0ePUn9eTEwMnJycqI09BQUFEAqFRu+dMY9PXV0dxGIxdVt2U/wTlWcRIQSEkFuEkJvPfhzNvefPqLbx9OlT2NnZYdOmTZyyBQUFkEgkVHGfjx49orZsXLp0Ca6urlQxnIsXL9azKJvD0tJSb8IzVSFh3759jQ1iVq5caVIJysvLg6enJ2d3rkGDBmHq1KkmX3/69Ck8PDwwefLkxolbpVJhwoQJeP3112FpaYmlixejLDFRa6EdNOi3N3t6AsHBWuvuX2ABqK+vR3Z2drOyny9cuIC2bduiXbt2VJurx48f44sPP4RbmzbI0cV1aTRal+Fbb2kt1gcOAHI5Dhw4gNatW+Orr76ijnGkYe/evXjnnXdACEFERARVNRZdm91jx47BxcUFPj4+nBtP3WJ69uxZ2NraYsyYMVTVEdLS0uDo6IhRo0ZxVvZgWRbbt2+HUCjEjh07ODcxWVlZ6NWrFwYOHMipbNXU1GDKlCmwsrKibm1OC688m8fb25u6Oc2ECRM421friIqKwqJFizjlWJbF0KFDER0dzSlbUVEBW1tb7N27l1N2z549kEgknJuwe/fuwc7ODlFRUUabuujmqLS0NHh6eiIgIMDoxlmj0WDKlCmYPn06pFIphg4dajREpL6+HsOHDwchBJ07d0ZSUpJZ97pGo0FFRQUePXr0m6KYkQHMnav1uOnm0GnTgN69tUaOjIzfPHF/IqdPn8bgwYMRHR1N1cBMx6FDh+Dg4AAHBwfO9tiF+fnw+/JLzPv009/mAmdnoHVrwMlJ6+UsLUVlZSV++eUXvPDCC5g/f/4f+Fa/n4KCAly9ehWnTp3CkSNHqCtaZGRkYM6cORg1ahQkEgnWrl3L6RVpSl5eHjw8PDBmzBjqcDaWZTF16lQEBQVRr7uVlZWQSqVmveTPExISwtl0i4Z/nPL8e37+rFJ1SqUSYWFhGDp0KFXcpY2NDZUL79atW5BIJFRlvebMmYPFixdzysnlcqMxgMaYOnUqVWHwxMTExmQVc9bDFStWYPv27Wa/z7Vr1+Do6GjyOIcOHYJAINBrca5UKjFjxgx4eXlhupsbSry9gQ8+0A7HVq208cn/o/JMujJoL7zwAj766CPqtrNnz56FlZUVhEIhtm3bxjlZpaenIzY2Fo6OjpgwYQJqKyu1yYZ+fsDrr2u/e9u2wMaNOHDgAH744QdIJBIcOnTIqHJYVFSEtLQ0PHr0CMXFxWbvo0qlwv3795GZmYnc3Fyqnb5CoUBAQAAIIQgKCjLrDtaRm5uLAQMGwMXFBYMHD+bcSObn5yMpKQlBQUHo1asXZ8jIhQsXkJqaCplMhqioKLOTfHl5OY4fP47Ro0fDwcHB7CaHZVmsX78ea9asgVAopArn+D3wyrNpzp8/T91x9fLlywbhGqY4cuQIvL29qWQjIyM5a9UD2nErFos5lbaGhgYMHz4cwcHBJq2S1dXVqK+vx6RJk+Dk5GTSi1RdXY0ePXqgd+/e6Nu3r0lFvKamBu7u7o213M256bOzs3H+/HlcvnwZN2/epHdt5+cDU6cC33yDRuvyzz8DHMron83KlSvBMAysrKyows10KJVK3Lp1C1KpFFu2bDE7NqqqqlBaWgofHx8MGzYM9ceOAeHh2rhsQoCWLYEhQ1BeXg57e3vY29tj9OjRRtdMjUaDxYsXw93dHYMGDWpWXeW/gpMnT+Ktt95C69atkZiYSD3nKZVKqNVqREdHw8LCgqoLrg7dujJr1izqz2toaODMLXue3bt3Gy2s8HvglWcjxMTEwNbWFkVFRWaVn7q6Ori5uXFWpgC0CR42NjacuzeNRoMePXpQWVrWrVunl4lqiitXrlBVPDhx4gRnlz8A6NGjh1nFWReC8rw1T6VSITExESEhIRg4cKDhBF5UBOgsHFFRwMsvA+7u2uQ9jgQGLoqLi7FhwwasXbsWq1atom5PunfvXojF4kaXlUm3XhMaGhpQV1eHmTNnwsLCgqqzI8uy2LlzJwQCARISErQTiEIBJCVpLezPYkBrzpyBfPBgLAgMhJ2dncFE29DQgLCwsMbqHFevXv3TFD6WZbF27VqMHz8ea9aswe3btznf8+jRI3Tq1AmEEOzZs4dTvrCwEJ9//jnefPNNKs/OwYMH8dJLL1F1Xqyurka3bt3Qpk0b7N27l7OG7qRJkxozu2naOP9eeOXZOBqNBpaWllR1uRsaGiASiahkHz16BLFYTBXnuXjxYgwfPpzzGbp37x4EAoHZroXFxcXIysqCpaWlXjKjMblu3bpxelAqKirQvXt3MAyDSZMmmT2/mzdv4vTp03j48GGzavdyUlf3W+jCqVMAw2hzOZYs+Z8rzU3ZuXMnLl68CDc3N/j5+VElYepQKBSYOHEievbsSRVGuXfvXgiFQm3+DssCV68ip29faJ6F7SgqK8H264eUGTMgFgqxaNEig/mEZVnMnj0bbdu2hUwmw5YtW/6WcI/KykqsWbMG+/fvx/Xr16mtzXV1dXB1dYW1tTUWLlxIXecZQOMGg6arsg6NRoO+ffsiPj6e+j15eXkQi8V/2nXllWcTXLt2DQKBAD4+PmYtckqlEgEBAViwYAFn4tDBgwfh7u7OadUuKCiASCTinORUKhWVnEajgUgk4lwAzp07x1nKqKqqCvb29iZf13X+MaYwjh49GoQQ/ZI5LKtNmHN3B154Adi1S/v3ykqDGLI/SlJSEj7++GO8+uqrCAoKwp49e6iU6Pr6erAsi2PHjsHNzQ1eXl44e/YslVL69OlThIaGwsXFhUrZrKmpwbhx4+Dk5GS88cfq1VorPCFo+OEHbBIK0ddI/O3BgwcxatQoBAcHQywWY+bMmX9JQxZzaDQabN26FYmJiVQxqJWVlejXrx+GDh2K2NhYzhjvM2fONFZcMVVWTEd9fT0GDhyIfv36Ye3atZwhIwcPHkRoaChiYmKoY8d/L7zybJwtW7Zg5syZVNdw4sSJVPHI9fX1sLCwoPIkbd68GQEBAWYNKFlZWbhw4QLEYrFZL0xFRQW++eYbSCQSsw196urq0K1bN7zxxhtYsWKF2fO7fPkyUlNTm+VO/9NIS9OG0b32mrZ6BaANOaPMk/hfcvPmTfTp0we9evWiqs6jIyUlBUKhkMrFX1paCl9fXwwbNgy1tbUICwv77X2XLwNvvAEQArZzZ1x2cUGPn39GfHy80US2iooKLF++HFKpFMOHD9fbkMnlcsycORM9e/aEtbU1VTv6vxq1Wg03NzcwDIPp06dTv6+iogL79u2DSCTibKTWFJZlER4e3qwuhmq1GnZ2dgZl7P4IvPJshnXr1oEQgoCAALNyGo0GoaGhaN++PecOd8uWLQgMDDRbpQLQhlD069eP8xzj4uKoBmxgYCDngnH58mVMmDDBrMzOnTvNWrtXrFhhNM45Pj4e3bt3x4IFC7QxZSoVsHGjtiIGIcA77wCjRv1WLo6D6upqnD17FqtWrcLo0aOprSk1NTVITEzEvXv3sHDhQjg4OMDOzg7z5s3DnTt3qBTijIwMhIWFwcLCAps3b6aySqanp6NXr14YMGAAVaLC/fv3fwvleD5mrLhYmxH+7No1fPgherq7Y+DAgXrH1n0XhUKBAwcOwNvbGzKZDMuXL2+0qGg0GmRkZPzpcbz/C5oTj/5P7sbGK8+G1NbWQiAQUFmJrly5And3d6o28YGBgZwekLS0NGzZsgUeHh5mx5hKpcK3336L77//3myuAMuy8PT0RPv27bFgwQKz53nlyhWkpqb+oSoAfynHj2vjmAkBXnoJ8PUFmqH4/J3cv38f/v7+cHV1pQ6NqK2tRWhoKAIDA6nC2vbt2weBQIDu3buja9euv93r+npg+3bUduumVaJbt8bSYcNgZWVlMsyHZVlcvHgRgYGBsLGxabRG19fXY+bMmXj//ffh6uraWIFq8+bNdAnrfzIXL15EbGwsSkpKmvW+gQMHokWLFiarjBkjPT0d8+fPx7hx45r1WTNmzGjM5/qz4JVnDu7fv4+RI0dyKhd79+7Fl19+CZlMZnbwqtVq2NjYoG3btpzWr5EjR2LevHlmLRUajQZSqZQz0Wv37t1YuHChWZmbN29i5MiRZmV8fHyMtsBWKBSYNm2ayTjnxu+qc+doNMAXXwDffgvExPwWrkFJQ0MDNm3ahG+//Ravv/46rKysYGVlBTc3N4SHh2PJkiXYv38/0tLSOK3L1dXV2LdvH0JCQiASiRoTCrgU8qqqKixduhRCoRCRkZFU1tULFy5AJpNh0qRJVFUmdu3aBaFQ2BjKoft5JgCcPq1NUAFw/tw5bP70U8wPCTFZp7O6uhpbt26Fs7MzRCJRY0jFJ598gsDAQEycOBHLly/Hnj17cPHiReTm5v5PWlT/m+GVZ0MiIyMNynEaQxdnzBVH/+jRI7i7u5usp98UDw8PvPzyy5yJfIsWLcL777+PBQsWmFXys7KykJSU1CxX9j+KpucdGAi0bw/Mng1Q5PD8WfyZCmFWVhZCQkLg6OiIU6dOUR376NGjEAgEVPG1ZWVl+PLLL/HBBx8YJB/K5XJ0f+stZPTvD7Asnjx5gi0iESKkUqSbMW4Zs0Y/ffq0cT1IT0/Hpk2bEBQUBKlUCjc3N8ydOxdnz55tbExDU7f+f8Xp06fx6aefIjo6mtrwpVar8cUXX+Dbb7+l9rZUVVVh7dq1VJvr5mJq3v7HtOem4fe05y4pKSEVFRVmW6U25cqVK+Tnn3822xpTo9GQvXv3kg8//JC89957pFOnTkblLl++TIYOHUrs7e1JVFQUefDgAfnyyy8N5E6dOkWsra1JREQEiYqKIoQQUlNTQ+RyOXn33Xcb5Q4fPkwOHz5MQkJCyHfffad3jJycHNKpUydSU1NDevXqZbad9rlz50hsbCxZtWqV0ddVKhWRyWTkzJkzRKPRkMzMTPLFF18QQgg5cOAAcXV1JTNmzCCTJk0yPHZiIhGmppIWMTGE3LlDSJs2hBQWEtK+PSFNrmldXR1ZunQpef/990lgYCBRq9WkpqaGVFdXG/2pqqoi9+/fJ8uWLSOvvPIKqaqqIrm5uSQ7O5vk5OQ0/lRXVxNCCHn99deJp6cn8fHxMfodAZB79+6RxMREcvLkScIwDNm4cSNp3769yevGsixJTEwkq1evJt26dSOTJ082Kav7jL1795JFixaR9evXk/z8fGJtbW2yDXBdXR2ZMWMGqaysJCtXriSTJk0iffv2NWyffu8ewQ8/EKJSkaPvvEPar1lD3vnlF/LBBx8YPW5JSQmJj48nGzduJO+//z5ZtWoVKSgoIIWFhQb/qlQqQgghrVq1Iu+//z4ZMWIE+eabb0xej8LCQpKdnU0ePXpEGhoaSHBwsNlrQggh9fX15MSJE+STTz4hX3/9Nad8ZWUlOXHiBPH09OSUJYSQO3fuEJZlybfffsspq1QqSWJiInF1daVqh5uZmUmqqqrITz/9RHUuTeHbc+sza9YscurUKZKcnKx37XNzc0n79u0b27eXl5eTzp07E29vb7Jq1So9WQAkPT29cV6dPHkymTlzJtm9ezdxd3c3+MysrCzSoUMHkpmZSezt7cncuXOJj4+P0XsPgFy7do1kZWURNzc3znby9+/fJx9++CFp27Yt53VRqVTk2rVrpHv37pyyhBBy48YN8tFHH5F27dpxyjY0NJCLFy8SS0tLqmOnXb9OPjp3jry5ZAkhO3cS8ssvhJSVEdK2LSHPfWeVSkXOnTtHrKysqI6dkZFBWrVqZXKNJIQQhUJBTpw4QeLj40leXh4JCwsjKpWKqFQqolQqzf7f09OT/Pjjj2bP4fHjx2TBggUkOzub7Nu3j/M5r6ioIGFhYcTW1pb4+vqalMvJySGhoaGkoKCAvP766+To0aN6Y8Ta2po8ePCApKamko7vvUdIly6E5OWRu+3akZzgYPKWszP57LPPyNtvv21wbAAkNTWVrFmzhjx58oTs37+fvPzyy0bPNSUlhaxevZqcPn2a1NbWkk8//bTxej//rLRu3Zq8/PLL5JVXXmn8mT59OmnTpo3J79nQ0EAePHhA7t69S9566y3i4OBg9voRoh0nhw4dIu3btyddu3blbK/d0NBArl+/TgQCAdm5cycJCwsjixYtIn369DF6v7Kysshbb71F3nzzTUIIITExMSQgIIBs2LCB9O/f30D+7t27VGuNMf7R7blpf36P5Tk3NxdWVlbYvHkz1Y5kzpw58Pf3p3LRZ2dnQygUmo2B02g02LVrF9RqNYKDg3Hw4EEDGZZlsXDhQnz55ZeN53jlyhUEBwfryR0/fhwtWrQwmuxnZWUFQLtrc3BwwOHDh02ek7e3N7y8vEy+PnnyZIwfPx5qtRoRERF6bhAvLy9MmjTJwLqSm56Ojd99h5qXXgII0cY2N7HQsiyL+/fvY9GiRfj+++/x4osvghCCb775BjY2NrC3t0evXr0QFBSEkSNHYurUqVi4cCHWrVuH+Ph4HDlyBBcuXKB24VdUVFBZiHVUVVU1y4V6+/Zt6tI8TbOTv//+eyQlJZkdi7qxd+jQIbRs2RIjR440tAoXFgKjR4N96SWwrVrh6OefY/zgwZzx+DQ1pAGtB2Hq1Km4e/cubty4gT179mDBggUIDQ2Fo6MjrKysYG1tDV9fX0yePBmbNm3Sq6jyPNnZ2Vi+fDmcnJxgY2ODOXPmmH1uWJbF6dOn4efnBxsbG87nV6PR4ODBg3B0dIS/vz9nWFVFRQXmzp0LoVCIJUuWcFoLU1JS0LNnT3h5eTUrnrIphLc8N9LQ0IDWrVvDyspKz5qrUqkglUr1EgK3bduGN99802jnzQ0bNmDixImN7+3WrZvJxN2CggIIBAIUFBTg3LlzZp8FjUaDQYMGcXrxdOzfvx8WFhZUc87Dhw9hZWWl11bcFFVVVQgLC4OnpydnkiTLsoiNjYVAIMC2bds4j52fl4ellpbI09XR/+knbdyuCRITEyESibBq1SrOY9fW1mLixIlwdHTkzCXQNcpo06YNunTpgmXLlmH16tXYuHEjtm7diri4OOzZswcHDx5EUlISTp48iXPnzuHSpUtUZTB1NDeBzNxac/z4cbzyyivw8fGBpaWlUa/dsWPH0KNHj988G3V1wLJlWos+IaizskK3t97CrFmzzFpYm9PR9NatWyZDRVmWhUKhQGVlJQoKCpCZmYlTp041zn0NDQ1IS0tDbGwsJk2a1NgV0sHBASNGjMD69es559X09HSMHTsWQqEQs2fPpso1On36NEQiUWMi4aZNm8yGzly+fBlCoVAvt8fBwQFDhgwxqrfFxsZSV/Ixhql5+2+fXJvz83vDNhQKBcaOHQtfX1+qmxkXFwdbW1uqB/PevXsQiURU3cdqa2shEolMTrAXLlzQUyhsbW314otYlsWECRPQs2dPg/fa29ujoaEBxcXFaN++PaytrU2ex0cffYTOnTubDKpv27YtpFIp9uzZg4CAgEalRaVSGVRGUCgUWDJpEoqeKc2stTXUz5SoiooKJCQkYODAgRCLxQgKCsKuXbtQXl6OiooKHDp0iLqu6z+N4uJifPbZZxg6dCh1PWaFQoHOnTvjk08+oRqHLMvC0tISUqnU9OT6+DEQEgLlhx/i1VatIJFITE76NJtHhUKBOXPm4PXXXwchBHZ2dhg5ciSWLVuGw4cP4969e1SLkEqlwpkzZzBmzBhIJBL4+PggNjaWM+yosLAQc+bMgUgkwujRozld6tXV1YiOjqYOqcnJycGIESNgaWmJuLg4s0qzWq3G3r17YWNjg9DQ0D+cUMgrz7+RkpICkUhk8BwsXbrUoM7ylClTjDagevDgAaysrBrHe2lpqcnxVVdXB0tLS6q67BqNBgMHDqQqJapr8+3t7c3pYtZVsbG2tuYcSyzLIi4uDgKBgKpM6oULF2BlZYVp06ZxKluVlZWYMH48rrZrp1UBvvhCm8BtYn64f/8+XFxcEB4eTlWDPT4+Xi8EzRT5+fkYOXIkLC0tkZCQALVa/edWCPkLiYqKamyiZmNjY3LOffDgAXr06KF/HWprgVmzgHbtMNvfHy1btmzswPs8SqXyL6kAlJubi8GDB+O9996Dp6cnrKysYG9vj+HDh2Pt2rW4cOECZ+tuHfX19di6dSvs7Ozg4+ODU6dOUdWZLi8vR1BQEPr160cdR52YmAgrKyu96ih1dXXYuXOnUfkLFy7A3t7+D4Uk/quVZx1Hjx6FUCik6kamy8Cl6Rp4/fp1SCQSqsYTV69ehbOzM9Xg2rt3r0GSIMuyRnf+ISEhjTHT27dvh42NjdFj5uXloWvXrnjttddMPvDvvPMOjh49CqlUalZROrtnD0QiEdavXw82PBw5GzZAIpEgIiICMpkMzs7OWLJkCe7fv/+PTuQqLS3FihUrcPPmTeri8oD2/hBCMHr0aOr3XLhwAdHR0RgwYADVZ1VWVuLw4cNwcXExb3WXyxETEwO/nj1R+NlnQFycwWKYmZmJ3r17c94TlmVRWFiIEydOICsri+p7FRUVNVat6NOnD6RSKSZMmIDz589zWvRVKhUOHDgADw8PuLi4YPfu3ZyT3aNHjzBixAhIJBJs2rSJsw76tWvX4OPjAzc3N5w+fdrseKyrq8OqVasgEokQFRXV7AQZU/DK829cvXrVQMl78uQJLCwsDDY0xsZCQ0MDLCwsqManRqOBl5cXDh06xCmrVqvRv39/qqQjuVwOf39/TJ8+nXN+0zWKmjJlCqeX4+HDh+jRowcmTJjAqZBnZWWhd+/e6N+/P2c8uEKhwNpZsyB6VlmCXbYMWL9eP9a5CeXl5QgLC4OrqytVl807d+7AwcEBERERZs/73r17CAwMhJOTE3Xr538SmzdvRlBQUON9bLr2GmPChAnYpasu1RS5HCUlJThw4AAOv/suqsaOBYyUthsyZAjc3Nywbt06Kh2Di6qqKixYsADBwcGwt7dvVnm/pty4cQOhoaGQSCSIjo6mPjfdxlAoFBr1Jpli48aNcHNzo7bEZ2VlQSQS/eFrxivPzygqKoKTkxPmz5/PqbxkZWVBLBZT1aFNSUmBlZUVlUVx7ty5VHWb1Wo1RCKR0VqRxo6pK+PFsiyWL19u9JibN2/GkiVL4OnpafJzly1bBrFYbLLkWcG9e0j6/HPIX3gB5VeuQKPRYNWqVejQoQNee+01RERENKst6D+Bbdu2gRCCr7/+ulkloc6ePYuwsDAMHz68WVUhmqNA687P19eXU16VmYnst97SPtoyGfBccsqxY8fwwgsv4Oeff/5T6mCyLIuYmBi89dZbjd0LuTp3AdowjrCwMEycOBECgQBRUVFmwzjkcjkyMjJw+vRpeHp6wtPT02wSkC7JJjExEQ4ODggKCjK7SDx9+hRPnz7FlClTIBKJsHbt2j99DPPKs3m8vb2pS3KNHj2aqmQdAIwdO5aq3JVarYa/vz9WrlzJKVtQUAArKyvs3r2bU/bQoUMQCoWclR/kcjkiIyNhZ2dHFXakawDEFUbEsiwS4uKwpHNnNLz0ElQcnRlVKhWWL18OkUiEI0eOmJUFtBv88PBwuLu7G21WolN2Ll68CE9PT/Tp0+f/rMdR12216Vy/ePFi7N+/3+R7dBVlTFrVFQpUPqtsovrkE+C5Rme62uavvPIKlS7yV1FfX48RI0Zg9erVsLS0RHBwMC5fvtyszU9OTg5cXV0xYcIE6vWHZVlMnz5db8PCRUVFBUQi0Z9SfpRXnpug0Wgwb948ODs7c4ZbVFRUwNHRkWqiPnnyJOzs7KgapDg4OFC1mly2bBlVK/GdO3fqTfqmlCx/f39kZ2ebrEXMsiy8vLwMOhVqNBooFQoc8vFBWatWYFu0AEJD/3BTkz8blmVx6NAhJCQk4OzZs1SKnI4lS5bA29v7d9WJ3Lx5MxwcHJplpYyOjkZQUBC1Ar106VKqRg4apRKxQiHkL72krRU9aZJelZOYmBjExMT8VvD/D6BUKpGdnY1Hjx4hMzOTKtQpKSmpUdmOiYnh/P5FRUX49ddf0alTJ4SHh3NaG2/duoVPPvmk0QtiLpRDo9Fg3Lhx+PLLL2FnZ4cDBw40y/vQHHjl2TTJyckYNGgQlezRo0fh5+dHJbtu3ToMHTqUU06lUsHHxwdr167llNX1BuBSWuvq6jB48GAEBQWZVJx0z3JSUhKEQiG2bt1q8vkuLy9HeXk5li1bBpFIhIMHD5qdC+7du4cLFy4g9JdfUPDee9rl3tYWMOJNVavVqKysRHJyMsRiMZYuXWrWGKBQKKDRaLBp0yaIRCKTOTaPHj1C165dYWdnh0GDBjWrE+A/jbS0NFhYWBjEyicmJmLevHlm35uQkMBZdu3RqlXI0+UMeXkBT582vlZSUoLk5GT06tULI0aMMNAx1Go17t+/j8LCwr8kzCM7Oxs//vgjCCEIDQ1tdniNSqXCokWLYG1t3awW22q1GoMHD8aUKVOa1QHR0dHxT9to8MqzEXSB58nJyWYHnFKpRFBQENUNPHToEJydnTkHsK70Etfuq6amBhKJhPNzr169ijFjxpiVYVkWEonErMycOXMwe/Zsvb/l5uaib58+OPHOOwAhYH/5BfgHWw6ePn0KS0tLEELQv39/qu5ROtRqNbKysuDh4YHhw4dTx30BQGpqKoRCIVVcpY7mKtCTJ09GVFQUpxzLsogYOBA3vvsOrFAIGAmdKCkpQb9+/TBgwIA/xR1Ig1wuR1JSEi5fvoxHjx5xjv8nT57Ay8sLnp6emDRpEqd8cnIyOnfujF9++QUxMTGc5+Ln54dPP/0ULi4uf1p4hil45dk4crkcQqGQM54W0D7bAoGAysN3/PhxuLq6clqrlEolvL29sWHDBs5j7ty5EzY2NmaNLk+fPsWVK1cgFAqxd+9ek3IKhQKDBw9G7969MeRZi2dTVFVVoWvXrvjuu++wfPlyTi/X/Pnz8dprryGua1ewLVsCH3xgMq5Zo9EgMDAQP/74I4YOHcq5Aa6srIS9vT1kMhlmzZplcq27du0a2rdvj/feew/r1683e8x/Ovn5+Y3Jps/z6NEj9O/f3+z7WZaFk5OTQfhLTU2NXnLcrcuXse6jj6Du0EEv4b4pCQkJEAqFBuX0EhIS8Nprr4EQgpUrV/6pHWePHz+OkydP4vbt281K0nz48CEWLlwIS0tLLFu2rFlJ+fX19fD09KTa0DY916CgIGqvFA288myCqqoq+Pr6QiwWmww6B35LDPHz80NOTo7ZQbBz50707NmTc9JOSEigsoqMHTuWs8B4WVmZ2VAMQJsJGxQUZPL15ORkeHl56T10ZWVl+Oqrr0AIQYaHh7bu5/+wsL9Go0FZWRkePHiAs2fPmnXtN0WlUiEqKgrx8fFwdHRE7969kZyc3Cyr4uHDhyEQCLBp0ybq9xUUFEAmk5kdS88THR2NgQMHUn0Gy7IYPHgwlWtZl2A6adQo7T19+hRYvNjg/h0/flyvRfDx48dhY2ODbt26YeTIkX+ZJfavoDmZ6Q0NDf/Tmry88mycadOmYcuWLZxyLMvCzc2NqvHFvXv3IJFIOKvLKJVK9OrVi/Pzr1+/jilTpiAwMNCsYeT69evo3LkznJ2dzVbH0Gg08PHxASGE0+hRW1sLqVSKb7/91milo+eJjo7Gf//7XwwYMADZCxYAfn7aTq5GYFkWw4cPR9u2beHt7c35/MjlckilUrzwwguc1tb09HSqTc4/ncrKSkgkEpOJ4Wq1GjKZjPM46enpcHR01Ftf58yZgytXrujJTZs2DVYCgXaDptFo19zn7l9ZWRn69euH4OBgPeU7IyMD7u7uGD58OMRiMWbPnk3VrOuvoKSkBF26dEHr1q05m8U1pa6uDqWlpZDJZFTJsk2ZO3cuZ/fk5sIrz2bIzc3FJ598gldffZUzQTA+Ph7t2rXDokWLzMpt3rwZfn5+nG6qoKAgzkSW/Px8uLi4mJVhWbaxXJ0pVq1ahdjYWKOvZWdnQyQS6S82dXVIt7bGqRkz/nKrnCkUCgWWLl2Kdu3agRCCwMBAbNmyBffv32+WUvfo0SNMmjQJQqEQ06dPp55Q5HI5ZsyYAWtra+o4vYaGBgwYMAATJ05sVkiGKQX6+eQ+tVoNb29vxMfHGz3W80k4M2bMwLBhw6CZN0/7yIvFwHPx7PX19Zg4cSJcXFyQnZ2NtLQ0CIVC9OjRA1KpFD179sTKlSuRnp7+fy7B558CrzwbkpGRATs7O6oxFR0dzdnGm2VZFBcXQygUcoZs7dq1Cz179sR2jhjg06dPo1WrVggNDTV7nqWlpejUqRO+/fZboyVJm3L8+HEsXrwYt27d4vzuxcXF1Eooq9GgYcECgLKlcWlpKa5fv069ibxw4QKSk5ObtUn9v4xCoYCjoyNneJulpSXV8SZMmNBoWKmpqUG7du2QkJCgJxMSEoLw8HCIxWKUHTgAtGgBfPQRYCTR+ciRIxAIBHrjTbeGKBQK7N27Fx4eHnBycsKOHTv0PHcNDQ24efPmX9L2XalUYsyYMZg2bVqzO2n6+PhAJBL9P/auO66p630fcNRZV1tbtba1rg5bbW2tJKywp4AgyHLiQkFEVFRc4BYRRSoKTlTcCzcKOFEBBVHcLBGRJZuQ5D6/P2IiIeOeWO23/ZXn8/HTcvPek5vk3nPe847noVaHBN7U9R88CFdX179NJOV/Prmq8+9DKgyKRCIkJCRg48aNKr/8zMxM2NnZoX379goV+Bpi2rRpaNOmjUq57MrKSmlhu6pUnIuLCyslGpvz7ODgoLD+88SJE9DT05O9zidPgAEDAA0NYPVqleO+K7Kysqhr4F6/fo2goCCkp6dj69atmDRpEvT19WFiYoI5c+bg0KFDyMvLY31wBAIBjh07BhsbG9ja2uL48eNUC0dOTg5GjBiBSZMmUZU4SJo2bWxsZCIDGRkZSs8PDQ3FhAkT5Bzoffv2YeLEiTITEJ/Ph6WlJc6ePSs3zvLlyzFp0iSZcYKDgzF+3DiItm0DPv4Y6NQJt5ctk0sjpqenw8DAAMHBwVJOUEBMIbdnzx6MHz8eOjo6cHNzw7Zt26gzAU1ocp4bg2EYWFlZsc5rpaWlSE1NhampKesivHLlShgYGMhF8xojMzMTzZo1U6qUKkFVVRX69+8PZ2dnlTzmgLhpXBXrwgdHRQVgbw8pz37TJvcvgWEYjBo1Sso/rAr29vZU5QwNmwdjY2PRpUsXOWYXT09PtGrVCvv37xc70CdPAr17A5qaqFm8GKHr1smscxUVFZgyZQpcXV2VBrkKCwuxbt066Onpwc3NDWZmZmjevDlatWoFX19frF+/HkePHkVqaiqKi4v/ZwGSs2fPghCCkSNHUjcUCgQCqR7AhyAq+M86zwKBQC2OP9pi+6dPn+L48eMqHd7ExEQMGjQIzs7OAJQ38cXExKBjx444deqU0rFu3boFDw8PlTe1nZ2d0hpdibx34+t49eoVWrRoAQsLi7dOZGws0LEj0KkTcPq0Wjck2wQiEokQFRWFXr16gRCCP/74A25ubpgwYQKmT58Of39/BAYGYs2aNQgPD8e2bduwb98+HD9+HHFxcXLfd21tLa5fv47Q0FC4uLhAT08Pw4YNQ1BQEOsCmpeXh8DAQHA4HMybN4+qvvncuXPgcrnYuXMn1QQTHx8PLpcr3WgVFhaiV69eSpsZQkND5RqnCgsLQQjB8OHDZe7lyspK8Hg8uc956dIlEEKk4hEShIeHw93dHcyTJ8DPP4PR0MC41q3lIthCoRBhYWHQ09NT2vWflZWFqKgouLi4QFtbGxYWFpg1a5b0dYFAgOrqapSWluLly5fIycnBo0ePkJGRgZSUFFy/fh2FDRpiVEEgELBuVBuitraWqn5WAnVq4gUCgVpjN0ST8/wWpaWlmDx5skIZ7cbzZFhYGDp27IgrV64oHEvi/FZXV6Nz58746aeflM5DkjnOwcEBkyZNYqV3y8jIoBZb4vP5ajkd6syrkgY9pcjMBL77ThylXL0a9WqseRLp5w8FdcZmGEatUip1oqb19fVIS0tDUVER1TUtWrQIK1eupBp73rx5uHr1KpXtoUOHMHv2bNTV1cHExETuPjh//jy4XC74fD5SUlKgra2N0txccRMhITj65ZcYMWKEXNNeYmIiOByOSuYPALhz5w6mT5+On376CVwuF9euXcOxY8ewYcMG+Pn5YcSIETAwMICBgQFMTU0xfvx4LFmyBNu3b6dupK+trcX9+/epfS+GYVBYWIgFCxZQiVDV1dVJn4f9+/dL1ztlv6s6TFiN8Z91ntPS0qCjo4PU1FQq+/HjxyMiIoLKNj09HTY2NipvEKFQiO3bt6OoqAgjR45Edna2nE1GRgb69euHUaNGSY+dOnUKW7Zskf5dUVGBP/74A4sWLZI7n2EYuLi4YObMmUo/5/Xr1zFt2jQwDIPhw4dLd6irV6+Gnp7e2xRnfLz4thg4EFV372LcuHGsilLV1dXYs2cPrKysYGxsLJ0MGIZBfn4+EhMTERkZiTlz5sDe3h48Hg9Dhw7FwIEDERQUhPz8fDx58gTp6em4ceMG4uPjcerUKRw8eBC7du1CREQE1q1bh+XLl1PtRktLS3Hu3Dm5hgplEIlEOHv2LHUqks/n49atW9i0aROio6NZo2HZ2dkyaddhw4ahXbt2SrlTFWUqxo4dCzs7O7njioQhampqMGrUKIXd3TJqVz4+GMbhoFu3bgodhNzcXNbyluvXr0u7sLt27QojIyOpYqS1tTUcHBzg4uKCsWPHYtKkSfD29oafnx/mz5+vsLFSIBAgPT0d27Ztw9SpU6WTeEPHXBHy8vKwadMm2NjYwMDAQKnKnAT5+flYt24dDA0N4ezsrNIxYRgGN2/ehLe3NzhvOHLfBU3O81scOnQIhBCF5W+urq4y8ySHw4GOjo7CGuLr16/D09MTgJhZY9q0aUrrnCXZmvv371NRWMXExGDatGmsdsBb6jqacSWKslOmTKEaOz8/H4aGhspZCoqLxcGOTz4BLlzA5cuXMWLECKqxAWDz5s1U0VUJfHx8qETBAPFnHTZsGLUDnZqaChcXF+pyN0kdOs1G/PXr1/Dx8YGjoyMMDQ1hYGAAHo8HOzs7TJ06FUuXLsW2bdtw9uxZ3L17F1FRUdi0aRMVs0RpaSn1ZohhGOTm5iI9PR1eXl4KbXx9faWZjsePH4vXGIYB1qzB0TlzoKGhoZAmsaamBhcuXKByFuvr61kDgHw+H8+ePUNCQgKioqJklCvLysqQnJyMffv2YdmyZRg3bhyMjIykqoRTpkxhDaaVl5fjzz//hJ6eHtasWcN6zYCYHEFbW1u6ltna2uLAgQNK77GLFy/C0dGRamxF+M86z4B4YR02bBjmz5/PGlkWCATw8/ODh4cHVRQ6JiYG9vb2VDdrWlqaXMOABOXl5Rg/frz0PUtKSmBhYSF9vaqqCoMHD8agQYPkzi0qKoK9vT2cnJxgZ2encPxPP/0UNjY22L17t0xE8sSJE7ITlUgEhIQg5coVlRREIpEIFy5cwOjRo8Hj8TBjxgxYW1ujR48esLOzk5FvXrRoEaKjo3Hjxo2/jdXh70BpaSm6dOmCH3/8Ua3I6Llz5zB+/HgqeV4JGIbBtGnTVMquN7Y3MzNjpXVLTk6Gz9SpeKajIy7VaQCRSIS5c+ciKipK5caCYRg8ePCAtam1IeLj4/HgwQOkpaVh69at8PT0lDrKU6dOxbZt25Cenq40CiUUCnHlyhX4+/tDT08PI0eOxK5du1RGkQsKChAWFgZjY2PY29sjJiZG5ed6/PgxFi1aBC6Xi6lTp+L69et/KULX5Dy/xZQpUzBr1iw5J+n48eMyDmtubi5mz56t8D4oLi6GlpaWNBDARkno5uZG7SRu3boVI0aMoIqcpaSkgMPhUFFwlZeXY8SIEQgMDKRyEC9fvkzH4LNjB5Cbi/j4ePB4PGqWoJKSEmmUkxZmZmZq0aH5+voiMTGR2j4kJIS1ibIhEhMToa2tjfDwcLVqawHx3PX69Wvcv38fcXFx2LVrF1auXAlvb2/88ccfIISgR48eKp0zdSESiXDp0iVs375dKZPE1atXlYpvFRcX4/jx44jp3x+Mgmx1YWEhfv75ZwQFBamVVVOG0tJSLF++HF988QX++OMP8Hg88Hg82NraYubMmdi0aRPOnz+PZ8+eUWUNGIbBjRs3MG7cOBgYGGDr1q1UgSs+n4+AgADY2NhIM0Z1dXUqfYrTp0/D2Nj4LzWu/qedZ0D8g+3YsQPa2tqs6XwA2Lt3LwwMDFjTegCwa9cuODo6Ut04QUFBSiO5Eu15CczNzWVSxAUFBRg4cKDceenp6Zg+fTpsbGzwyy+/KBy7Q4cOWLt2LTgcjnz0tqgIsLMDcnIgEomwcuVKWFlZKVyMMjIyMHv2bHA4HPj7++P+/fsoLCzEhg0bMHXqVFhbWyMvL4/1e/gnQSAQIDQ0FHFxcWpzZIaHh2PQoEFUbAENUV9frzqapABlZWXgcDjUEY60tDSqCFRdejrKmjeHsEsXoNGzkZubi44dO6JHjx7UZRaqkJKSAhMTExBC8Msvv2DatGnYvn077t69q/T5YRgGhw8fRnFxMXbv3g1nZ2fo6elh9uzZuHTpksLzJN/Rq1ev8Oeff8LExAS2trbYvXu3wsikZGF8+fIlQkNDwePx4OrqilOnTv2llF9DNDnPb6GoRO3169dyYhLKvnuRSIRhw4ZRp8r9/PwQHBxMZRsWFgZ3d3eq+fzAgQMwNDSkisSmp6eDw+FQbTIZhsGGDRtgbW2t2DkQCIDJk2UENc6fPw9DQ0O1HIUpU6Yo7JtQBQMDA7Xs79+/T83LLYGPj4+cTLsq1NfXY+3atdDX16cW2mFDeno6Hj169N7YhiorKzFz5kx0794dixYtgr+/v9I6epFIBC6Xq9xhr63Fi88/h1BTU7xxaoQ9e/aAEIIZM2b85etOSkrChg0b4OnpidDQ0HfeRLx+/Rrh4eHQ09PD1KlT1Vr7bt++DR0dHWzfvp36/Y8cOQJzc/O/3Nz6n3eeJcjPz4etrS3mzp3L6ihJGAeU1do1xNatW+Hq6kolRaynp0cVqQwPD5fjK7x7967cdZ85cwarVq3C5cuX4erqqnAsGxsbjB07Vj6d/ewZ0Lcv8NFHKI6Ohrm5OUJCQqQTxosXLzBnzhyEhIRAT08PY8eOpdau/zchLS0N7du3R+fOnRWW1iiDQCBATU0N3NzcsHHjRrXe8/nz5+BwOGotdjt37sTixYup7SdMmEAlhPI4NhYFrVqBadsWaKQqtmfPHjg6OsLd3f0vdWYzDINHjx4hMTERMTExVNGo58+fw9LSEpqamjA1NUV4eLjK30ciX6+vrw9zc3MMGzYMO3bskGnabAiBQICAgAAsXboUVlZWsLa2xu7duz8Im0CT86waEydOpFK0A4Bly5ZRO8Pr1q2jdiJWrFgh12yrCAzDYMmSJRg1ahTVZnbnzp0wMDCgCixIyq7mz5+veD2pqgIsLcXLd2AgAHGEzcTERC3xitu3b8Pe3p7aXgJ1nWcAMDIyUoszXyQSwcnJiUrBsSHy8/Ph4uICDw8PtfiI/w7Ex8ejb9++MDY2hlAohLW1tcq5f/LkySodTEFJCZIlarLLlsk0iEoksO3t7bF+/fr/SQNgXV0dUlNTkZSUhLFjx8LIyAjbt29Xu059yZIlsLKyUisoFxMTAxsbm/fSQNjkPDcAwzCIjo6GtrY2bt68qdK2pKQEVlZWVKTjERERGD16NOvEm5GRAVNTU1a7Fy9esHI3A2LHXaJMpUwrfv/+/RgzZozswdRU4PPPgU6dcHn5cnC5XJma6XPnzuGzzz4DIQQbNmz4IJQ2/yScPXsWw4cPh66uLut90RgikQiTJk2SE5hhw/nz5+Hk5EQ9uTEMA2NjY9ZyDAkKCwuhq6tLlc7csWIFXnz+OdC8ORATI/OaSCTCsWPHoKurq1aJyl+BUCjE3r17ER4ejrCwMNbUdXFxMRwdHdGpUyf07t2b9TpzcnLA5XJBCIGBgcF7SXGqQpPzrBwJCQlwd3enth0+fDjVM7Nv3z6qGlqGYTB//nzMmDGDddyamho4OztjxYoVrLa1tbWYOHEivL29qUojsrKyoKenp7yuvqgIGDJEzIL0ZrN+/PhxmJmZqbXhYxgGRkZGyGpEWckGkUhExWncGNu3b0dYWJha59TW1sLY2JgqeNUYFy5cAJfLxebNm//ngR6BQID58+djxIgRyMvLk84zbPR258+fZ+UsfnL/Ps5J1CN9fOReF4lEmDNnDiZPniyTxREIBJg7dy50dHQwbtw4pf0374q8vDwMGTIEXbt2xbRp09RW7AXEgUI9PT1s3rxZLed/+/bt1CVXNGhynhWgoKAAw4cPx+zZs1FTU6N0pyoUCuHv749x48ax7mTCwsKoFONWrFhBNZkYGhqyTopLly5V2SBVW1sLLpcr+/nu3AHToQNEPXpgiZMTJkyYIPM+tbW1OHv2LK5evYqMjAylkbt/GhiGQXh4OL755hsMHDiQtfO4MYRCoVTVbvr06WpFchiGwcyZM+Hv76/Ww75o0SK1UpSSRlVarF69mkrhi2EYuFpbo0hPD1Ay2T148ABcLhdnzpwBIJ6c6+rqwOfzIRAI/ucLlTp4/PgxMjMzkZeX97fc303Os2LU1NTIz09K8PLlS2hpaVExnly8eJGqPpdhGPj4+GDBggWsz62kMZCmaTQrKwv6+vrUgkkSaWyl1KZlZcCPPwKtWgGHDwMADh8+DEtLS2paLwmio6PVymBJ8OrVKzg5Oal9nkToRd0IaElJiervRAX4fD5WrlwJHo+H3bt3qyXU8b6QnZ0NQ0NDOQewsrISlpaWKs+tr6+XMmQBUDpHbY2MROLQoYAKvvJt27bBwsJCJvov2TB27twZw4cPV4tXWRVevXqFyZMnY9KkSViyZAmrUFFDVFRUQCAQYPny5TA3N1crCwyItSxcXV3fq/hVk/OsBAzDYO/evRgyZAh0dHRU7lYOHDgAHo+H7Oxslfy2ISEhmDRpksqJQiAQgMfjsfIcr1mzhjV15enpqXLnGBAQINMlCwClz54htW9fDP/tN7VTY/8GJCQkSFNkrq6uuHDhgtqO3ZEjR6ClpUXdpAe8TedOnTqV+v2EQiEsLS2RlJSk0q6hEzBjxgzWjUF9fT3u37+Puro6qvKQnJwcFBUVgcPhiCdZhgEULDgVFRUYMWIEli1bBqFQiHXr1qF169YghCAoKEjtuvH/CpqcZ8WYM2cOVSOfUCiEmZkZlROUlpYGXV1d1nteKBRiwoQJrGp5VVVVSElJgZaWFmsG5Pr164iNjaV2+h49eoQVK1ZgxIgRqh0NkQiYOhV4EyjZt28fhg0bpnZquqKiQnHvCwXS09Ph7e2t9nkAMGnSpHdyYLOzs8HhcKgpAxvj2bNn6Nq1Kz799FNWEbT3if379ytVJrxx44ZCNqTGcHd3l7Jt+CiILAPi/oERI0bg8uXL4gMpKeJ7pRESExPB5XLlfA4J+8ykSZNgYmKCkydP/k/KPEQiEaysrMDlcrFx40a11+uQkBCMHz9e7aZRNjQ5zyogEAjg6+uLTp06Yfz48SpvnIyMDHz33XfQ19dX+eOuWrUK06ZNUxkhyczMhLGxscpxnj59qrSOWQI7Ozulu9KMjAxYWlq+/UyZmRBVVcHCwgKEEKWKg/8UVFRU4MyZM4iIiMC8efNUSt42huS7f/jwIfz9/cHhcLBo0SK1drPl5eXw9PSEs7MzNT0TIH6Qx4wZo3AHrOjhfvXqFbS0tFRG3xYuXCj9ncvLy6GlpaWylIZhGPz6669SpSlFnLoNYWVlhfLycsTFxWHkyJFgduwQTxFRUQDEk5tkwWUYBitXroSDgwPKy8vx6NEjWFpaIjAwEDweDw4ODti5c+c/ru7wf4km51keqampsLW1pVqsAwICqGTpc3JyoKWlxTpXXLt2japXoaioCL///jsMDAxY54Dnz5+jS5cuGDx4MFXW6tixY2jTpg3mzZun/DsoLgYaqCU+fvwYu3fvhp2d3TttVP38/N6ZbvH8+fNql6ZJkJKSIsdhT4vbt29DT09PrUygBHw+H4mJiVi4cCFGjx79wRmfqqqqMH78eEydOlXpxiYqKkqun0kRjh49ilWrVuH48eP45ptvFNqMGjUKO3fuhJaWFipu3QJatADGjZM60A3vkSdPnoDL5SrtN3n58iX8/f2ho6OD6Oho6fpVU1OD9PR01gDPX8G8efPQsmVLeHh4qNWkfefOHSxdulStgJU6aHKeKSAQCJCQkKCSYaOyshL+/v7o2rUrq0T34sWL0b17d5WRijVr1iCURUpVV1dXZUTcwMBA4cQrqU+T1sempQGdO+OJtjb8/PyQkpLyj5daZhgGp0+fxpAhQ9CmTRvweDwMGzYMc+fOxZ49e5Cenk5d2yQQCHDy5EmMGDEC5ubm2L17N3X05dq1a9DW1kZkZCT1dxYZGQlHR0e567t58yZ27twpZ3/lyhUMGzZM6QQwY8YMmJiYSCe0vXv3Yv78+SqvoWXLltIyEjMzM5V1wEOGDIGjoyMYhsHs2bOxc/NmwMREXF+5fTsAMd90w8VHQujfWC49Pz8fmzZtknJ/BwcHU3Hg/n9Gk/MsC0nzNFsjUGVlJc6cOQNnZ2fWZ2/VqlVUEd/k5GRoampi/PjxKu0AYOTIkWjfvr1SWjEJhEKhlNXl+PHjrBGwly9folu3brCzs1Ne11taCgwaBPTrBwgEqK2tRe/evTF48OB3aobKzMyElZXVO8/7u3btUotiszH09PTeuRn33LlzsLa2xrZt2975/T807ty5Ay6Xy5oV9PHxYc1gCIVCVFdXw8DAAA4ODmjWrJlCx9/FxQXdu3fHkSNH4O7mBsyfL3btJkwAGAazZs2S8WnKyspgaWmp8nssLy/H6tWrweFw4OnpiX79+oEQggEDBmDWrFmIjIzE5cuXUVhY+F58iJcvX2L//v1qlXgA4p6eTp06QV9f/71HnCVocp7fM+rr6xEbG6ty53/ixAn07NlTZW2TUCiEoaGhyt384sWLpTWmiqCo+/nBgwdYsWLF23RkTo64ObB7dzD/ACfm9evX2LdvHzt/6RswDIPExEQwDIPy8nJcu3YNmzdvhpeXF0xMTMDj8eDo6IjAwEAcOXLkLbG8EhQVFSE0NBS6urqYNGkSbty4wToJ8Pl8BAYGwtTUFA8fPqSqq4qJiYG1tbVMhFggEKBjx45YsmSJ3HsGBwdj2bJlCscKCQlB8+bNce4NPZXEIVaVivztt9/g4uICgUCAO3fuqKSuc3V1xU8//YSXL1+Cz+dDX18fT+7eBYyMxMplsbGYPHkyvv/+e5myJUmT05EjRxSOW1lZicOHD2PUqFEYOnQobGxsYGVlhWvXruHFixd49eoVSktLUV5ejurqanY1tX8pmpznt7hz5w78/f2pIsnjx4/HTz/9xFrnfP/+fRBCYGNjo/LZZBgGOjo6cHBwYJUGz8jIQFhYGNWiXlxcrBadY3JysupShLo6QEcHaNkSeEPtt3r1avTs2RNbt25Vu67z+fPnsLCweKf6YQnWrFmjUgmXDRLV2HdBZWUlBg4ciI4dO6rtZH1oMAwDT09PGBsbswpLAYCpqanKzc+DBw+kZR0ODg7YvXs3Fi1apDDyvmXLFvz+++8oLCzE9OnTEbN3L+DvL3bv5s+X3jMN1WIFAoFSrvWGqKurQ1RUFDgcDhwdHbFz507cvHkT0dHRWLBgAZycnKS8zy4uLliyZAliYmKQmpr6TlkCdTF58mQMGTIE58+f/2CBwP+s83znzh14enpSS+rOmTOHSh4SEHeDskWNa2trsWrVKty7dw9Lly6VS0cwDINx48aBECJTt3zp0iUp88Xdu3cxceJEhakMhmGgp6cntwgFBgZCQ0MD8fHx4kaTH34AOnSAKD0ds2bNopp8+Hw+QkJCqBQXs7KysGrVKhmFwYYQiUR49uwZjh8/Dnt7e3z00UcghODrr7+GoaEh9T9VNYyFhYW4ePEiQkND4eHhgZCQENbrZhgGKSkpmDp1KtWkB4gntvXr1+PJkyeYMGEC63mxsbFyMtfDhw9Hjx495M5lGEZpdDs7OxszZ86UYVTJzMxUyWv6+vVrmJiYSP/es2eP0k1FXV0d9PT0pNF4Ca0cKiuBX34B2rfHsa1b0b59e7nISk1NDVasWKFyIq6pqcGaNWvw448/ghACHo8HNzc3jBw5Eg4ODrC1tYWVlRXMzc1hbGws87srUogSiUTIzc3FxYsXsXnzZsyaNQt2dnYwMDBQ6sgD4o1vSkoKwsLC4OrqCjMzM5UTr0gkQmpqKtasWQMrKyuFWQMaNDnPbzF79mw0a9ZMIU9zRESEdHNWWVmJtm3bwtbWVmHUrbCwEKtXrwYgrqkNCAhQmU0KDg5GUlISFcdsdnY2goKCWO0kWLlyJbVjWlhYiICAAOUGIhEwcqR4id67FydOnMClS5ewc+dOqlKN0NBQued80KBBCstJqqurZdRsVUEiikHLrw0A8+fPl643ZWVlKlk+7t27h8WLFyt9HgsKCuDk5CTN+i5atIi6BOXVq1cwNTXFtm3bqBy7DRs2SJUIDQwMVK5Lurq6aNOmDT766CM4OTmxspgcftPw2RgikQjr169Hq1atEPOG8ejGjRsICQlRuekwNzdHeXk5amtrsXv3bnG/yvjxACF4vHkzWrVqhRUrVsidt3nzZiQlJbHShopEIhw5ckRpiZNETTg+Ph4RERHw9fWFlZWVwtKpmpoapKWl4cCBA1i6dClGjRoFHo+HJUuWqLwGCa5evQoHBwekpqbi9OnTrE7zvXv31BLdaYz/rPMMiHmQORwOIiMjWSNa+fn5MDU1RVhYGOuPIhKJMGHCBKxbt471GiT8s4q4SWtqajBy5EiZm/v48ePSCeLmzZvo3r27wjKRy5cv4/fff5eLXHM4HMyZM0f8eYcPB5o3BxMXh8mTJ7M6/AzD4MSJE+Byudi0aZPSCIfEYebxeHB2dkZERASCgoKQmZmJw4cPIygoCC4uLtDX1wePx8PYsWOxZs0anDx5Eo8ePUJcXBwyMjJYv7t/MsaNG4fWrVtLJzpaZGVlwc/PDwcPHlTrvOzsbNja2qp1jp2dHXWt+Nq1axV/lhcvgOPHUVFRgRs3bsDBwUHOJDMzk7pW7cWLF1Qb2vLycqxZswb29vbYuHEjfHx8YG1tLV3MRo8ejaCgIMTExCA5OVnaTd6wVCY/Px+HDh2Cn58fjIyMYGhoiBkzZmD//v3Izc2Ve84ZhsG9e/ewYcMGDB8+HHp6evD29sbRo0epN+GK0OQ8v8XPP/+MkJAQue/+/v37MDMzk87TMTEx+PPPPxXOxUKhEBYWFtKsEZvDsn37dtaeFgkkddM0zjDDMJg3bx5mzpxJNXZJSQl0dHRUN8+FhIiX5+XLUVhYCA6HQ13uUF9fL0eDVlhYiGbNmiksuWAYBjwej3XcvLw82NnZ4cKFCzA0NKSO9J0/fx7Dhg2DQCDAo0eP8NlnnymlJWQYBitWrICrq6vKyKwkY1BRUYEZM2bAzs6OqpelpKQEf/75JwwNDeHm5oa4uLj3kuViGAarV6/G6dOn/zIXvp2dHb7//nuZOWzVqlUqs8/BwcHyDnl9PbBtG0RCIW7fvg1dXV2FaznDMOByueDxeLh06dI7X3tDXLt2Da6urjh58iRCQ0MxZcoUaYbY3Nwc3t7eCA8PR1xcHHJzc1l/A4FAgP3798PAwACenp7UJYA7duyAoaEhchr0DKiL/7TzDIijasuXLwePx2NVGBQKhVi8eDEcHBxYid1FIhE8PDxYHVLJuPr6+gprqhtzND969AgTJkwAIHYgvvrqK4XUQqNGjYKmpqYMj2JlZSWi3jR5AQDu3QOzbx98fHwU7j4b4u7du7CwsMDMmTMVfvbGDvORI0fw/PlzTJw4Ec2bN0fz5s0xadIkrF+/HnFxccjPz//H11XX1NS8M0NEbm4uhgwZgtGjR6tdc1VVVfWW2UIN2NvbU/M8A8Du3bupOVYLCgowbNgw1UYJCZjp4SGXvk1PT0fPnj3h5eX1TryejfH06VM4Ojri66+/xhdffIEDBw7gzp07KqNGT58+xYgRI+Du7g4HBwfo6upi5MiRCA0NxY0bN+R+Zz6fj02bNuHx48fYvHkzRo4cCR0dHUycOBH79u17L6qKEjQ5z2KUlJQorAkVCoUwMDCQubdVOVABAQHUwkRnz57FsGHDqDZ3eXl54HA4VNy3Epq7hQsXUs1z5eXl4PF47JHbsjJg3TowIhHs7OzUatRKTEzEvHnzZI6dOHFCZTaGx+OxXn96ejoIIViwYAHmzZuncrzGiIqKwpQpU8AwDHx9fWFqaqrS/tChQzA0NKR+/m7fvg0DAwOsWrWKegP/4MEDzJ07V6qW+1fKWd4XNm/eDF9fX7lNuo+Pj8psyb1796T+gkI8eYLoOXOUBvqSk5PRqlUrTJ8+/Z2uWwLJZqZ9+/YghEgzA/fv338n3uWKigqEhIRAS0sLy5Yto272rK6uxrhx4zBz5sy/rBD7n3eeJcjNzYWTkxMmTpzIygQQHx8PLS0t1olLJBJh/PjxVFy9N27cgIuLC6udQCCQIaOPj4/HggUL5OyWLVuGbt26KR4kPV2qOjRv3jyF50sg4WYcPny4zK4uMzMTc+bMkXOYG6dGBQIBsrKycPHixX8NJ7QEAoEATk5OMDIywooVK9S+fj6fj7CwMIwbN07tKMaZM2fU7kBPSEhQS3a1oqJCpnSDDVZWVsoXrcJCoHVr1JuYgKulJefcbNq0Cc2aNcOyZcve66appqaGdXNy/vx5cDgcfPPNN3BwcGBlRrh48SK+++47EEKk9XwfUlq+yXlWDZrmaQlOnToFFxcXqnssNTUV+vr6VKl6ieonWy008FYYiS0gIUFVVRWMjY1VcvLj4UNxrfMbREVFqZy3FcHf3/8tbdkbsDkurq6urOVnAoEA7dq1Q05ODl6/fg0ul6tW3fXcuXOxdu1aCAQCzJw5k9X+1q1b0NLSos5OikQibNq0CTo6OmoJq4hEIsTFxcHNzQ08Hg/h4eEoKSl5bzLftLh27RrMzc0VfqdOTk4qRZwk0WOFzwPDAAMHgvn6a1hxuUp/5wcPHmDq1KkIDAyUG4dm/m18PS9fvlRLPbchcnNzMXPmTOjo6GDHjh1qOd6ZmZnQ0dHB8ePH3+m9G6PJeW4ECUvApk2bVN4Ur169gpWVFVavXq3SMZI40Bs2bGB9bw8PD1y8eJHVrnHqTVG0USLKIYdr18RKcaGhCAoKUppS5PP5CA4Oho6OjsykzjAMwsLC0Lp1a7Ro0UItZop/I6qrq6GlpYWuXbvixIkT7zTGunXrMHHiRLWdRhcXF7Ume0nDkzoNGeqUbuzevVu1E7N+PUAIkh0dsWjRIrlrS0pKwpw5c+Dm5va3NI28C/h8Pi5duoTTp0/j0KFDrHzr7wNNzrNyPHr0CEZGRlSbz+zsbGhra1PdW1lZWdDS0qKimZQ4zjTOmkAgwOjRo6nFjWpra2FhYaG62a6oCOjRA3hTEvX06VPo6+urHTnT19dXu5kwKChIqTptQzRsZg4JCaGulQbEa6SzszMOHz5MzRSSl5cHXV1dlSULjfHy5Uu4u7tj/PjxalNlVlRUYNu2bTA2Nkbr1q3h6+v7lyOXNMjPzweHw1F6vTTPxoQJE5Rv+pKSgBYtUKatDScVTeMMw2Du3Lly/kJFRQUsLCzw22+/Ydq0ae/MmKIKJ0+exMGDB+Hs7Axra2vExcWpvZZGR0fDwMBAbXEVVWhynhWAz+dj9erV0NfXR1JSEu7evavQTiQSYdWqVbC2tla5+xOJRBg3bhxriryoqAja2tqsD+Xw4cNZH34jIyP5tL9kEu7VCxuXLoWnp6fcTXjo0CEcP34cHA4HERERchuI169f4+bNm0hPT8ejR48+yMPyT0NJSQnu3LmD6dOnY/jw4e/0AK5ZswZTp05V66EvLCyEtra2WrvrLVu24M8//6S2j46Opi7dqK6uhp6ennIDhgEcHMA0awbf335T6nieOnUKXC73vZRw/H9Ak/OsGCKRCMbGxnj48CGrbV1dHXg8nlwDriKUlJSAy+VSjfvixQtwOByla0BD1NfXw8nJidpxrK+vh52dnWoxKpFITAv50UdAaiqEQiGMjY3Vlk0uKCiAvb29WucA4vWAJvDTsOxJIr6kTo1vbW0tjIyM1IrqVlZWws7OjrpER4KLFy+Cy+Vi27ZtePXqlVpOcEpKCvz8/ODh4YG1a9d+MBo0QPw9GhgYqGSeopFEP3z4sLR5ViFCQwFCcGToUFbGlBUrVmDixIkyn7umpgYWFhbo3bs3ZsyYoZbuARvCw8OhqamJgQMHUmV9GqOmpgYeHh7w8fF5b7LcEjQ5zyrw/Plz2NnZoV27doiNjVVqd+3aNWhpaSEhIUFpfZRIJMLYsWNZH/SIiAjVNzrEXcqqIpK5ubnyjVuSSbhlSxx4IyneeMe6e/duaGhowMzM7F9XYsGG0tJSTJ8+HY6OjnBzc3tnkQ5JDd2KFSvUfhhXrFiB6dOnq+VAb926FYGBgVS2WVlZqK6uhra2NvV77NmzR63SDV1dXdUOSnk56r/5BvxPPoGrCraKvLw8GBkZSRlEcnNzkZqaiqtXr+LatWvU1/P/AU3Os2KsX7+edS6UwNPTk0qNUOKk0dxjBQUF1Ju82tpa2NnZySm2KoNQKISTk5OYAUEVliwRL8dvmI1WrlxJHdVuiB07dqgVDZbg3r178PT0VPu86OhopdSayiBRMWVr8GwIoVAIX19fTJs2Ta2oel1dHYKCgtC3b1+MGjXqH9F/wzCMdE1mGAYeHh6sDeeNnWdFZXXl5eX4+eeflTc1Mwxqra3BNGuGCQMGsGaSN27cCBcXF5lNB5/PR15eHs6ePQsDAwPMnDlTZUCRBrdv30ZQUBD27NmDpKQktX6jnJwcPHjwADo6OmrV4KuDf6TzTAjZSgh5RQjJoLH/kDzP586dg7u7O/r166fSYS0tLYWxsTE+++wzpYITIpEIY8aMwZ9//ql0xyppHlRVYxkdHa1yIly1apV8NGPlSoAQXHN3h4uLi9z7X79+HSNGjMCaNWtw8+ZNpWP/m1FSUgJ3d3d0794d2tra8PHxwcWLF9VOv4lEImzZsgVcLldM+acGAgMDVXbfl5aWytAFMgwj5Y9mg0SVctasWVSpVgD47rvvYG5uTlW6UVRUhM8//5xVPvbmli04Y2iImb6+rNRwkjKOBw8ewN7eHoQQ/Pjjj4iMjFRrEf03o8l5lsezZ8/A4/GoInt79uyhcvBEIhEcHR1ZF1OhUIiXL1+Cy+Wy8s3z+XyUlJTA0tKSmiFHJBJh9OjRiIyMVG146ZJYiMjFBWAY3LlzBxYWFu/EAjFy5EgZDnZa8Pl8tTbXEohEIujq6qodpHj48CG0tbXVbpbevHkzrK2tqWvjAXEWddSoUfjkk09YRaU+NEQiETIyMvDDDz+gQ4cO6NWrF0aPHq3ynKqqKlhbW0v/lijmKkK3bt1UZhiDFy5Egasr9m/dKtdUCkBuvdq5cydsbW0VltlIBMx4PB5mzZqFoqIilZ/jfeP169fo168fuFyuSvGvv4p/qvOsQwj55Z/gPEvAMIzKm4BhGOzevRs8Hg9DhgxRGpUUCoUYM2YMDAwMlEapb968iZEjRyp9r5SUFPj6+ip9XVdXV+6mLti0CfH9+8PB3l7turd/OhiGUWtX+uTJE4hEIty4cQPz58+Hnp4enJycEB0drZZEa1FREcaNGwc3NzfVogaNsHDhQqm6X2PU1NSAx+PJpDwfPnwIU1NT1s/YvHlz/Pnnn9S0dQKBAM2aNYOZmRlV6caVK1dACEG/fv1ULuBnz55FixYtcOvWLXCHDpUp7Xn16pXcs9GwjOP06dPYt28ftm/fDjc3N2hra0sjMH81kvFPRZPzLAuJyA9bmlZCHcjj8VhZcdLS0uDt7U11n/v4+EBbW5uK1z84OBh9+vRRmZlsiOjoaIwaNYouepyeDtjaApWVqKurg46Ozjs1rgqFQujq6qp9ngQ0dHWKcObMGbUamCW4dOkSzM3NVYo8NQbDMHB1dQUhhFXFrzEkfO1/Zx9GfX09kpKSsHr1atjY2EhFudzd3TF69GiYmZmxbhwfP36MiRMnAhD/xkOHDlX6fXfs2BEDBgxQOtayZcvw3XffoaamBpZmZnLZRQkrWcM16PDhwzA3N1f6vTEMg5MnT0JfXx8zZsyAn58fzM3N0adPHxw5cuS9qRA2fk9HR0f07t0ba9as+aCiWv9I51l8XeTrf5LzrA7y8vJU1sWeO3cOH330kcoatIkTJyIuLk7holBVVQULCwuF5927dw9jxoyROz5q1CgQQlR3dP+LkJ+fj7CwMDg6OmLAgAE4ceIErly5gvT0dGnXtzoPTm5uLsLDw2FlZQUjIyOsWrUKmZmZVA/31atXoaOjg7CwMOmEp4r3V9J8oaxbvn///jAxMZH57QMDA1nlb7t27QpnZ2cIhUIq2rqioiJYWlpi0aJFVNGl5ORk/Pbbb3Bzc1MZcT916hS6du2KC3PnorJrVyybMkX6WmlpKfT19eUi3Y3LOCRgGAb379/Hhg0bYGdnB11dXfj4+ODo0aM4c+aM2jza/0Q0Oc9vkZ2djU2bNmHp0qWs39vy5cuhra3N2oNQW1uLL774Ar///jurk52SkgJCCKytrVlti4qK0KFDB2hpaVE1lvL5fHz11Vfo0aOHWnWhN2/ehK+vL/bs2UN9TkPcuHFDZbCFDdbW1u/EjiDZBL1Lj4ifnx9atWpFVcMuQVVVFcLDw8Hj8dSOXH9oVFZW4vz581iwYAFMTExgYGAAPz8/HD9+XCZgk52dDQ6HQxXEuXTpkrQxOzk5GZ9//jnmzp0rZ1dbWwsXFxcMGTJE6Zq4evVqdO7cGUn79qGub18E/PKL3Nqnq6sLT09PmTHOnTsHAwMD1vXuxIkT4HA40NfXR58+fRAQEICRI0fCwMAAPB4PDg4O8Pf3R1RUFBITE/HixYt3cqxfvHiBq1ev/i1lOP9Z5zkrKwuHDh2i/pIPHTpELf354sULpKSkqLTJzc3FmDFjkJKSIkcfBIi7zPv27Ys1a9bIHH/69CmKiorkGDcA8U06f/58nD9/HoB4d5s1fToKfXygw+WyUuudPn2amtf40aNH1I54SUkJQkJCqGqECwsLsXPnTpWp1crKSty5cwdLly7FkCFD0KVLFyxbtgwLFizA9OnTMWbMGNjZ2UmFLxr+MzU1ZW2oq6qqwtGjRzFu3Dhoa2sr5N9uDIFAgLVr18LHxweAmAIwODhYaZSfYRjMnj1bIbf4tGnTMGDAAJmUJ5/Px4QJE1Ter+np6Rg/fjwA8cRK41gePXoUISEhmDNnDtVv7+3tjcOHD6tUlxQIBFi1ahXOR0SAadMGd7/8EnUNMiFmZmb44osvpEqZEkjKOPbv3690bKFQiF27duHrr78GIQRt2rRhVfoyMzODtbU1bG1tFd5XfD4fOTk5SEpKwpEjRxAeHo6AgABMmzZN5XdRU1OD27dvY+/evVi4cCF19LExmpznt/Dy8kLHjh0VOk23b9+WOkW1tbXo2LEjBg8erHDhFgqF0g1eREQEevfuLZ0XFSElJQXFxcWYOHEioqOjWRmUzp8/jx07dlApmWVkZKCgoAARERFwd3dnpX67vXEjMGoU8KbvxMbGBp06dVLohBYXF7MKQyxevFj62dPT06nZkYRCIa5fv45Zs2ZRlfI9ffpU7hpv3rwJc3Nzhd/9mTNnlH53N27cwIABA6QcxS9evMD169eprlskEmHv3r3UDnRZWRm2bNlCvfbFxMQgJCQEV65cYW2KrK6ulgqALFmyBPHx8SrPWbhwIXUj9fnz56VR9levXsHa2lqpj8LW21JRUYFRo0bhcUYG8MMPqPj4Y2Q2+r4XLFiAFi1ayPULXLlyBX5+frhx44bcnN4QDMPg2LFj0NbWlikhYhgGxcXFSEpKQnR0NBYtWgRXV1epY81G+cgwDJ4+fYoDBw7A39+fWvjkxYsX7D0HKvCvdZ4JIRMIIcmEkOSePXuq/cHLy8sREBAAHo9HVR968uRJcDgcKqWdoqIi6OrqUnUO19bWws3NTe6my83Nxffffy9HGr9ixQqcP38eZmZmctG7LVu2oH///tJ0156FCyFo3hy1pqZgWKKwa9euhbu7O2v9b3V1NebPnw8zBamdxkhLS8P48eNhZGSEffv2KXQkhUIhkpKSsGDBAvB4PFhbW8PZ2RmbN29GYmIitm3bhoCAADg7O4PH44HH48HKygre3t4IDQ3FiRMncPv2bequZz6fr1YXuEgkUmsXK7HNzs5G8+bNYWRkpDYjCZ/Px/Tp01Uu9sreW51mQUBWdIcGGzZsUM0O8AZpaWmYMmWKlL4ODSRkt27disGDBytNi9Ne/6NHj1g5OxmGQU5ODubPn49u3bph7NixGDVqFExNTaVOt5mZGUaPHg1/f3+sX78eBw8eRGJiorT5q6ioCJcuXcLmzZvh4+MDc3Nz6Ovrw9zcHNOnT0dERAQSExPfWWXwv+I8s83ZDMPgm2++gaenp9xcUVlZCS0tLWkjc0xMDMaMGaM0Zbx06VKEhoaCYRhER0erpEDLzc2V0oHROFCS+4QGpaWl4HA4KCgoYHWaAeBmYiJetG8PfPUVUFmJyspKdOrUCbt27VJov3XrVpUZqYSEBHC5XGnJobe3N7VzxjAMdHV1ER4ejk2bNrHSyN27dw8mJiYyG4/4+Hi0aNFCYZ/E0qVLVdYa19fXIyQkBBUVFSgpKYGRkRF181dcXBy0tLSoAjy1tbXYuHEjOBwO1q9fz7q5KCgowJEjRzB37lyYmZlBT08P48aNw6ZNm5CamiqzhjIM897LJNPS0uDo6Ihz585Jj0VFRamsoT9x4gRCQkJUjnv06FGsWrUKuHkT0NQExo6Vef3hw4dYvny50uBTTU0NvvzyS7i4uKjsV1E3Ktxw/RSJRHjw4AF2794NX19fGBsbQ19fH2PHjkVYWBiuXbvG+gyXlJRg9uzZMDQ0REJCglrX0hD/Wue54b+/Urbx8uVLeHl5wdzcnHV3XVxcDGdnZ/j6+rJOJMXFxdDV1aVSgHr8+LFC9baSkhIYGxvLPIwrVqzArl278Mknn2BEI15Gf39/dO7cGXl5eaisrERSx45gOnQQSygrgaSEYPr06axlDseOHYOWlhb27t2r9AEQCAQ4dOgQTExMMHr0aGkEnmEYqYNbVFSE6OhouLi4QEdHB76+voiLi8P+/fvx5ZdfghACDoeDRYsWYdeuXbh69SoKCgr+ER3R6mDOnDngcrnvpFD18uVLGBgYqP2ZPT09VSpONUZj0R02nDlzhkr8QULOD5EI4HKBTz4Rq6NBvGF6/vw5tLW1qXld3xVCoRAHDx6En58fDAwMEB4ejtzcXKVZkJqaGmzYsAE9e/ZEly5doK+vDwcHByxYsAB79uzB7du3/5LMriL8V5znhv8UzdkPHjxQWpMskUGXQNXifPXqVdja2lI9OzU1NdDT06MW3NixYwcmTZpENbZIJIKNjQ21tDHDMNj67bfi5feNY5SUlKQyizlq1CiV5VnBwcEghEivYc2aNax0ZA0RGRmJH3/8ES1btqTaWKxduxbBwcEyx/bv368w6skwDKZNm0ZFhQeIndwRI0ZQU2uWlpbC1dUVPj4+VPMMn89HVFQUOBwOVq1aRZ1pZhgGjx8/xp49e+Dj4wMjIyMYGBhg2rRp2LlzJxwcHFRGZNXBhQsXQAiR62mxsbFRqbqYkJDAytpUXV39di2YNUt8HzaKMtfX14PL5SptBI2MjJTqP/xVvHr1Cj4+PrCzs4OXlxcMDQ1hYGCASZMmYfPmzUhOTlZLAbiyshJBQUHQ0dHBiRMn/rI/8Z93niXIysrCqFGj4ODgwMqhuW/fPmhra7PKeRcXF0NPT4+KFsnDw0OhXXV1tUy9mSTybG9vL6fGNG3aNGkaZ4+bm/hnXLtW6XsKhUJMmDABS5cuVXkjPX36FDY2NvD19VU6oZSUlGDlypXQ0tJCUFCQzIP8+PFj6OvrY+7cuTAwMICNjQ3Cw8MVLoBCoRBPnz6lXsw+JAoKChAaGork5OR34vMUiURSMQZaIZKGmDVrFk6ePKnWObGxsVi+fLla5+jr61NPJE+ePJGWhrDB3d1dXAuamipmDdi8Web1ffv2yci+lpaWIjk5+W8RH1CGsrIyXL58Gdu3b8fSpUv/FgGgJudZDGWb9+vXr8PJyYnmq0RZWRk4HA5Vhz/DMHBzc6OOZl65cgVmZmbU9+fSpUvlyu5U4Wh4OOpatADs7KjPYcs0hYaGymSWYmJiVJZcNUZNTQ369++PL7/8kspeJBLB1NRUbv4+f/68wusUiUQYOXKkylKtxvbe3t6YPXs2dU9LTEwMtLW1qR1YgUCA6OhoaGtrY8mSJe9UPy0QCJCWloZly5ZJy8vmzp37l+aT0tJSGBkZwcPDQ6Y8prKyEsbGxirPTU5OxqxZs1jfY/jw4eK1qrIS+PxzwM1Nzub8+fOYPHmywvMFAgFu3boFfX19hVLztFH49PR0mJub49tvv8WgQYOQlpb2zutCXV0d1q9fDw6Hgz179ry3JsJ/pPNMCNlLCCkghAgIIc8JIeNU2b/PhsG7d+9i+PDhGDt2rMramRcvXsDGxgYLFy5U+aOWlJRAT09P4Y3UEDk5OTAzM2O9PonzfPv2bWzatEnmNUnk/NXLl8hq0wZMnz6AkghbXV0dRowYoXIira2tlTaTKRIJOHr0qFxpRuOUVVRUFL744gu0a9cOs2bN+uCRxveNyMhIEEIwYMCAd77227dvQ1dXV+2mG0ltuzo75OrqataJtDEcHR1VRi0aQiAQwMjIiMp29+7db3nNlYhMuLm5SctTGIbBrFmz0Lp1awwbNow68vNvR5PzrBx8Ph/a2tpUDXaSTnta+sjg4GAsXLiQyjYrKwtcLpeajScuLg4jRoygfnZrampwtGtXMC1bApSqltnZ2XB1dVVpc+TIERnn7+rVqwgICKAaX4I5c+bAysqK2j4rKwt6enrUzk5dXR3Mzc3VamZfu3YtXF1dqSOPz58/h6WlJZYtW0YdCBGJRDh06BD09PQwd+5cvHr1CnV1dWrNxxUVFaioqPjLUc78/Hzo6Ojg8uXLcmMdPHgQa1UEyQBxyYUyh7chdu7c+davyMwElDi7Dg4OKtloJI3hjQOCCQkJ0qZz2g2TumxaEgiFQmzbtg1aWlrYtGnTew/K/COdZ3X/fQi2jevXr8PU1BQ+Pj7YunWrwkmTYRhERkZCX19fJa2S5EZik1r28vJinUAkzrNkXEWYPn06kjZsEPOEKkBFRQXMzc1x4MABudf4fD5EIpG0xnvXrl1yN65IJIK/vz8IIbC0tGRtjvy3Y82aNRg3bhwMDQ2RnJz8TmNcuHABFhYWagurzJs3TyZdTQNLS0u1oiWLFi1Si69aUbOqIrx69UqeMq+RE1RWVgYtLS3p88UwDLy9vTF48GC4urpSN3/8m9HkPCvH4sWLWVlmJIiIiKB2DM+fP4/hw4dTRaHKy8uho6NDxbUOiJljuFyuWpvloKAgHFy3Dti3j/ocGuGTxnN3Tk4OK39wY+Tm5sLc3Fytc6KiopSyCSlCeXk59PT01Cpv2LdvH8zMzKjnOoZhEBYWBiMjI1YmosbnxcbGwsDAAMOGDYOXl9cHpUBrjIcPH0JLS0tprbqLiwsrn/GLFy/gpiCK3BgSznIZlJcDjSLm2dnZMDIyUunUSgKHjRs9ExIS0KFDB6qg4rtgy5YtOHToELS1tbF69eoPlj1scp5VgGEYHDhwAM2aNcOgQYOU1vlkZWXB1NQUa9asUaqEI3GgFTFrSFBQUMBa59rQeVaEZ8+eqZzoJNFMRWOIRCI4OTnB3NwcXl5eSielffv2wdfXF6Ghof8ZNTiRSIScnBw4OTnBw8PjnTiH9+7dCzc3N6qJV3IPlJaWQkdHR63J2s/PT+HGSBn279+vlvKhhYUFLly4QLWT53A4b1O48fFAy5bi/zZAfHw8Ro4cKX1/hmHw+vVr3Lp1CyYmJpgzZ847UWX9W9DkPCvGvXv3YG5uTnVfZmRkwMjIiCot/PTpU2rnVigUwsbGhlp0iM/nw9DQkErOW4IXL15AX19fbYds7NixrEwbjVFfX692ZgoARowYodZ7MQwDW1tbteS2X758CQ6HQ0X7J0FiYqLa/NcPHjwAj8dDZGSkWpLPAoEApqam0NTUlFPY+1C4deuWStXF+vp6GQ5vZVH1iooKDBs2TKX/AYifDWNj47cKw8XFwGefAQ3qpSXvsXjxYqWNrBJIHOjGvV937txBXl4ePDw8YGtrq1afjiqEhoaCECL7GT4QmpxnFpSUlODEiRNYtGgRAgIClEYORSIRFixYgGbNmiltaCgrKwOPx1PZQDJ79myVlFdszvPeX35BkZWVXLqltrYWOTk54HK5ChsjGYaBl5cXNDQ04Orq+k41vv901NfXIy8vj1U1jA0JCQnQ0dFBaGio2hNocHAw/Pz8WO2uXbsmXYAXL15MneISCoUYOHCgWtGljIwMfPPNN6y1/hJ4eXnBxsaGNZMCALa2tnB3dxf/UVsLfPEF0CByve9NpG3mzJkKpY0ZhsGRI0fA5XIRHh4udY4YhkFZWRnu3bv33hv4/m40Oc/yEAqFMDAwoIoQ1tTUQEdHhypLUVlZCR0dHWoBjhkzZrBSWzaEl5cXq0PRGMvNzFD266+AmgqAOjo675TOfhfRk0uXLsn0J9BAotKozvP55MkTcDgctXiw7927Bw6Hg/T0dOrz6uvr4efnh9atW2Pnzp3U7wWI19K0tLR3UmxUB+fPn4e+vr7Kkrpz585JS4/q6uqUMmqIRCL8+uuvYgYkFYiJiYG9vb0sp7i1NdCpE/CmjC43Nxf79+9HTU0NOByOwvK6hqUWEgda2Ubq4cOHcHZ2hqurq1obp8a4du0apk+fjp07d/4tPVNNzvN7xJ07d+Dr64u+ffsqpUB5/fo1DAwMsGDBAoWqdJIbTVkUQpXznHb1KipatgQapV0YhoGdnR20tLSUOkhZWVk4cuTIO9Nt/dNx8+ZN/PrrryCE4LvvvpPS2qhLIyeBQCDAxo0boa2trTQqpWwDMmPGDKxbt07l+ElJSfjxxx9RU1OD8vJyaGtrU21onj59Kq3Rpl1YX79+DU1NTaxcuZLKPiQkBG3atMHixYtZbe3s7NChQ4e317J2rXh6eeN4Dx06FBcvXpQqqClzgOrr67F+/XpwuVzs2rULLi4uIISgVatWWLlyJc6fP6+2FPA/BU3Oszw2bNhA3Ww3adIkHD58mNVOUhN9+vRpVluRSIQtW7awcn03RExMDFVdaUMkJycjvWtXoGtXudS4KuTl5alUoVUFHo+nttMtoa1Ttw/h4MGD8PLyUuuc1NRU6Ovr49mzZ9RBnPz8fGhpaWHIkCHUTWlJSUkYPXo0unXr9o8oPayurkZAQADMzc1hYmKCwYMHs37fU6ZMkQaD/P39VTZzd+vWDd99953K8ZYsWYJu3brBwcHh7cEbN8Rz9pv1obCwEJ07d0Z+fj6OHDmiMBgkEAiwcuVK6X0mYR9TxWh2+/ZtDBs2DBMnTsTz58+Rl5eH06dPUz2v/ws0Oc8fAAzDqEwjnTp1CoQQpROtqkijKuc56vvvxT9doxqjvXv3ghCCiRMn/r+T5lYHIpEI+/btw/r163HgwAHMnTsXFhYW0NPTg4uLC9asWYOLFy+qtYEoLi7G5MmT4eDgIJdaO3nypEJOZJFIBBcXF2nUVRHu3r0LQohUdGX58uUKI7ONkZiYiK+++goGBgbU9YMPHjxAu3btWB16CSIjI9GtWzesXr2a1dbPzw8ff/zxW47bqioxbd2b5lhjY2N8/vnnePnyJdLT02FqaqoyfV1WVgY/Pz+YmZlh165dmD17Nk6ePImgoCDY2dlBT08Pw4YNw6JFi3Ds2DHk5uZKJ/C8vDy1ZNT/LjQ5z28hFAqRk5MDfX191rnq6dOn2Lt3L5XDevXqVYwaNYqKZpHP52P48OGwsrKimi8FAgHCwsKoZMIbgmEYeP3+u3jOpniWGiI6OlquYZwWw4cPfycGia1bt1LTxDWEu7s74uLi1HrPw4cPo2PHjirnyIbg8/mYO3cuPv74Y1Y+48aor69XS8nwr+LVq1e4dOkSIiIiZHjjLSwsYGVlhS+++AJDhw5VGbGvra2FSCQCl8sFwzBIT09Hu3btMGnSJIX2DMOgW7du0NPTUylDHhQUhF69euH333+XbZA3NhaXb1RXo6ysDIQQODo6QiQSwdLSUiEdK5fLxYIFC6Tzr0T/QsJSxufzFW7iLl26hMGDB6NHjx4ghKBfv34YNmwYvL29ERISgiNHjsgIJv2v8J91nquqqtRaSGlU5iQQCoUqd4wSucpBgwbh4cOHchNueXk5uFyuwpTl8uXL5ZzniooK7Ni0Ca/btAEacfYWFxdjxowZVDVF6tyMIpGIig5KAnXkNgUCAXUNm2TiYKsXFAgEyMnJwZUrV+S6hBmGQX5+PmJjY7FkyRLY2tpCX18fdnZ2CAoKovpe7ty5AxMTE5mJu7KyEq1bt8acOXPkIih1dXUwMzNT2oBYUFCA8ePHS9NnlZWV0NPTo/oOvb29ER4eTuUoSNCzZ0/q+r8nT56gV69eVMwD2dnZ+Oqrr2Rtly0DmjUDsrKwd+9e6OvrS8tfgoOD3zJ0qMCzZ88wcuRIjB07Vu63LysrQ3x8PNauXQtnZ2d8++23aNu2LQghMDQ0hIeHBzw9PeHj44PZs2cjICAAQUFBWLVqFdatW4fw8HBs3rxZ6fcnEolQVlaG7OxspKWl4dKlSzhx4sQ7L8BNzvNbxMTEYNCgQQo3fo0bf2bOnInWrVsr3SQ2dD7c3NzQokULpZGv6upq6bO1e/duEEKwZMkSpc9bw7GPHz8OQgiWLVum0FYRQ0NRURHmz5+PzN69gc6dxdRgb0DjsHt4eLwTf7xIJIKXlxe1UErDtam2thZcLlfpXCsQCBRuHh4+fIgvv/xSrplT1Rp5584daGlp4eeff5ZqBNDUqJeXl2PTpk1qNRpLeOdp8eDBA2rfoba2FsHBwRg/fjwMDQ3B4/EwYsQILFiwAHv37sWdO3dk7qVly5Zh8uTJSiPuhYWFcHd3R15eHlJSUqTBFaFQCC6Xq7Kh/ccff2SlKWQYBjweD0uXLsWZM2fevnDpktgt3LsXdXV1mD9/vjR4kpmZKRupfoPp06fLPZ9FRUXQ0dHB48ePUVFRATc3N4XlLwzD4OTJk/jll1/g4+ODiooK3L17FydOnMCGDRvg6+sLe3t7KfeztbU1vLy8sHbtWmq/pKSk5C+VcP5nneenT5/CzMyMehJatGgRhg8fTlXndO/ePejr67M6F0KhENnZ2TA1NZWZSKqqqjBkyBD069dP7hx9fX253X9CQgI8CBH/bA2asWJjY+Hv7896vYB4QuBwOCp3pRKUlpbC1tYW27dvZ7Wtr6/HihUrYGhoyJqCEgqFiI6OBofDYZWWfvLkCQIDAzF48GD88ccfePLkCZKTk3H48GGEhoZi5syZcHR0lMo2S0RbFixYQE2JVFxcjLi4OOqaPYZh5ORphw8fjm+++UZhLV5FRYXKmumCggLY2NhI/6YtMQkNDcXhw4fVyjJIJmQaMAwDCwsLqi7m0tJS2DXmrS0vBxrUnI4ePVrquItEIjx//hyzZs1i7SAHQFUTKxKJcPHiRSmf7NOnT5GZmYm0tDTcunULV69eRXx8PM6ePYuIiAjY2Nigc+fO+OSTT2BhYSEn921kZCSls/Tx8cGiRYsQEhLyzqnfJuf5Ldzc3PDJJ58obEQePny49J4QiUTo0aMHfH19FT5DN27cwJgxYwCIn+Mff/xRaWc/wzCwt7eXbn7s7OxU9p00dhZsbGzg5eWllMpy/vz5MmpwgFhw6nvJnL1kicxrbGUVr1+/ltY7p6WlwdfXV6mtomuZNm0alVCKUCiErq6u9Pvl8/kYOXIkLCwsFNqfOnVKTnsAEH//hoaG+OGHH2SO29vbq+ybEIlE2LZtG27evIl79+5BT0+PujRr4cKFmDx5MlUmoLCwEMbGxvDz86PKOp46dQoODg7Q1dWFp6cnDh06pPS6RCIRTpw4gSdPnlCVoLx69Urpb3/y5El07twZLi4uAMT3reTzJSQkYM6cOSrHjoyMpBIvMTQ0lNlMStFgfquuroaBgYH0b0V+g0RltnFZY2lpqfS78PPzQ7t27bBjxw6F1yISiajm+MrKSmRkZCA2NlZpsKuoqAiHDh2Cl5cX9PT0YGNjo3Z/QkP8Z51nCW7dugUnJyfY29uzMkekpKRAX18fISEhrI7JtWvXoKurS8XKsGPHDrmU+cGDB9G8eXMZh/P169f44osvMGrUKBnb1atXw+7nn1GzZAnw5oavra0Fh8Oh6jh98OABtLS05Bw/RUhOTgaHw0FiYiKrbVJSEnR0dLBp0yaVkWGRSIT9+/eDy+Vi+fLlSh34/Px8rF27Fvr6+hg+fDgMDAygoaGBVq1aYeTIkZg1axbCwsJw7NgxpKamoqio6C/xa74PRcP8/HwEBwerJZbQEGZmZtTcshLQSLE2xujRo9VqgDE0NKT6fgQCgUJ1MSkYBhcvXpSb+ENDQ9GsWTPMmTPnb6WFEggESE5ORkhICPz9/dVKw78rmpxnMUQiEbS1tRU2DZ05c0am/vjOnTtKKRzr6+uho6MjzRZmZWWp3HjGxMRIBST4fL7KTBPDMDA1NZXS1tXV1ck5xg1RWloKXV1duWdl1qxZmODgAOGqVUCDSNmzZ89YKcU8PT3x2Wef4e7du0hNTVXosCpDbGwsfv75Z3C5XKpm5zVr1kgb6hiGwcSJE6Gpqal0/RsxYoTCdVQgEMDX11eG7q+kpEQlk0RjXL9+HTo6OtRNgTExMdDX16caX5IN1tbWxqpVq6g4/UUiEdLS0rBu3TrY2NhAT08PM2bMQGxsrDRKLhQK31vz/YYNG9CvXz+F0WVvb29WheT169dT0Z6OHz9etcP65l4eMWIEa8ClsLBQJZNMXl4evvvuO1bHnxYCgUAa7CosLMSBAwcwdepU6Orqws7ODuvWrcPt27ffy2/yn3eeJXjy5AmmTJkCIyMjHD9+XOmPLRQKsX79eujp6bHerLdu3aIi+Ofz+dDS0pL7QXfv3i03EbVt21aOGD8kJETOSV6yZAlVFzGt48wwDMLDw2Fubs76eSoqKjBt2jQ4OjqqVNaTMCno6Ohg8eLFMmk5yeRVXFyMiIgImJiYwM7ODjExMdKHQ1JucerUqQ/CuMAwDJYsWQJfX1/Ex8e/MzWRSCSCmZnZO9HxREZGsnK5Nsa9e/fUanQCgDFjxqiV6lRH0rthhEIKPl/c2LpqFUQiETgcjswzJxFj0dbWVouG6t+IJudZjPLycoWRPz6fDy6XK/Oaqo3bsmXLqOuBX716BS6XS80Fu2PHDixatIjKFhBHQBU1M+7atUvhGvPnn3+y9jZMnz4dxsbGYBgGt27dwuzZs6mvp6KiAj179pSLAitDZWWlTKlGfX09eDye0rmisLBQ5ffZ+PjDhw+hra1NTUWZkpICLpdLXWbx4MEDaGtr48SJE1T2DYU1tm3bppaTJRQKcevWLaxcuRIWFhbg8XiYNWsWfvvtNzmuY3Vx4sQJODg4KFznGIYBh8NhDWYsW7aMinJx1apVypv0/P0BR0cA4s1JaGgo63iLFy9WWbteU1ODKVOmKFznbt68icDAQNy8eZM1iBIfH48ff/wRLi4u0NHRwfDhw7F+/XqkpaV9kABMk/PcCK9evcLChQuhra2NqKgo1NXVKdxlP3/+HCNGjMDUqVNVRndv374NbW1t1prppUuX4uDBg3LHG1PjffXVV3LNhKKNG4EGpQjPnj2TTq6qkJmZCQ6Hw+o0VVZWwsXFBQEBAayTybFjx6ClpYXjx48rtZHUM+np6WHevHlyC+aJEycwdOhQWFtbw9zcHFFRUf+z5oDa2lr88ccf0NDQwNmzZ995nLy8POjo6KitUlhaWkqlPNkQ1dXVSlOryjB27FiqzIMEf9l5BgA9PeCbbwCRCHPnzpUrp6murkZGRga0tLSoBSr+jWhynlUjODiYWlL60aNHMDIyol4sR44cSUW5CLyNlNJmIyTlFQqv5dQpYPt2oNF8amdnx6r2GRgYKC01TEpKwty5c6muR4IhQ4ZQy50D4pLFhhuAkpISlVkqiQ4ALS5cuABra2vqMrO7d++Cw+FQz1dVVVUYNWoUZs+eTf0eNTU1WLVqldTxfpcsJJ/Px6pVq/D555+jd+/eWL9+/TtFPFNTU8Hj8ZQGiG7dukXFaDJv3jw5vmVFOHr0qHKneP58QEMDyM5GRUUFFWd4ZWUlOByOyuCTQCDAsGHDFGZxZsyYAUIIxo0bp/BchmEQHR0NXV1d/PLLL1j1JiDzodHkPCtBVVUVNmzYAA6HA3d3dyxatEjhAxQbGwstLS0cOHBA6QMmedhVTTiSujBVYBgGgwcPlt2lv34NtGkDNKCoGT58OGuUMzMzE1paWqyOc0ZGBrhcLitdTH5+PhwcHODt7a20tvnChQs4f/48DA0NMWvWLLnC/traWsycOROdOnVCjx49/jECLC9fvkRwcDCMjY2xatWqd2Ys2bdvn7TBQx3Y2tqqjOArgrpcruPGjfv7nee9e8VTzZkzyMzMlCtHkiArKwscDued1R3/6WhynpWjoKAAenp6VE6HpKSClq/88OHD8Pb2prIFxE166khIBwYGKudn/+MP4LvvpClwQBzVpVHvbDhvvovc9uzZs9XKZpWUlEBfX18tB9LR0VEt9bjNmzer9VtI1i9aXmCGYbBlyxaYmJioNZeWlJTAz88PxsbGuH79Op4/f/5eyvlokZeXx8p7PXfuXCqFWG9vbyrxnvv378PT01Pxi9nZYud5/nwA4s0eTfPkxo0bWRvBJU3xjZtZRSIRpk2bBnd3d0yYMOEfQ6fb5DyzoK6uDoMHDwYhBGPHjlW4e6qqqsKsWbMwbNgwxMTEKEwpSaK8qpqgJk+erDK98/r1a/nmqy1bxD/XmxKSkydPsu5CaSPOu3btgqGhoUqn/9y5cwgPD1fJ4cgwDBYsWABNTU2MHTtW6UTwd05K7wKRSIQNGzZAX1+fulu9Mdzd3VWK3CjCjh071GLOAMTOLZ/Pp+4KHzdunLQ2kIbLtaHzzBaJkzjPcl3QdXVi2ro3aUBtbW2ltamFhYXQ09PDxYsXAQAXL17ETz/9hB9//FEqEvBvRZPzrBxjxoyhjgxHRUVhSaPmO2WQRJFpm3CvXLnyVuyHAhUVFcqZKTIzxXP22rUyhy9dukTd4N3wHHXKSADg9OnTWL58uVrnzJw5U615i618QxHUFaR58uSJSu0CRUhNTQWHw5HOI7TIzc3FmDFj8M0332DmzJkfZK0qLCxEVFQUwsPDsXHjRmm2ko0FSVtbmyozO3bsWKrykdraWtWbODMzoEcPQCRCREQEwsPDWcesq6ujIiSQ8HU3ztRLvu9z585JCQX+1/5Ck/NMiZKSEty4cUNl88H169fRunVr/PTTTwpLOR49egQOh6NU5vThw4dwfONIKEJGRoa8Y2xiAvTqBTCMtElQ1YNE4zjv2rULEydOhI+Pj1JFRUDcgEAIwbRp01SmZLZs2QIHBwcEBQX9v4geZmVlwdLSEgsXLlT5/TQEwzDIyMjA69evoaWlpVYT4JUrV9C3b1+1rtHd3R3R0dGIioqish8/fjyePXuG3NxcBAcHs9pLnOeSkhLWujeJ5LzCtJuHB9CuHSqLimBoaKiy3rO8vBxmZmZS7uzs7Gz8/vvvMDExgYmJCaKiov6VMt5NzrNi3LhxQ66/QxlevnwJbW1t6ufR3d2dKloHvG1AZCunaIjly5fLqrQ1RGCgeIltFGSZN28e9TVJEB8fj8AG0sk0qKioULus68WLFzA1NVXrHHXLN4RCIWxtbdVy0nNycqTqgrQoKyuDvb09li5digMHDlCfV1BQACcnJ/Ts2RN+fn7vzXkTiUS4cuUKvL290bJlS/Tv3x9JSUmwtrbG+fPnVWYE79+/j7Fjx1J9zwYGBli6dCmr3aNHj/D1118rN9i5U3z/JiXBw8ODqqxw48aN2Lt3L+vm9sGDB0hLS1PJR11TUwN/f39YW1tTN5t+CDQ5z+8RlZWVOHbsGKZOnYopU6YonMifPXsmrQlW5EDZ2NgofVjOnDmDVatWvT1QWgo0bw686RRfsmSJUsqXFy9eICkpicpxJoTAw8ND1UdFbGwsdHR0EBgY+N506f9NYBgGW7duhY6ODmvjqARDhgxBVVUVEhMT4eTkRD35btu2De3bt1e66VKERYsWwcjIiFqm28PDA0+fPsWUKVMwceJEVntJNHnmzJmskq/Dhg3DrVu3QAiRT7lduwYsW4a0K1fQtm1b1hq62tpaODg4YPPmzQDEdYVVVVUoKytDREQEDA0N4eLigrNnz0pT/SKRCDk5OTh//jy1cMzfiSbnWR4ikQg8Ho+6MWzkyJHUZV6xsbFqKQGuXLmSuuYaeFvjqbTUZOBAQEtL7jCPx6N2/iWIi4tTyi+tCgYGBmo3QE+aNEntUjp1yzcqKiqgo6OjVjQ5Pz8fXC4X+/bto9ZjEIlE0NXVRbNmzd6pma+wsFDt/pWGEAqFuHTpEqZNmwYOh4OZM2fixo0bOHr0KKqqqjBlyhRERkaiqqpKJVvR0qVLMXfuXPTp04f1Pb/++mtYNlIfVoStW7eidevWyrMyZWXAjBmou3cPmpqa0NfXZ2UVGzZsGLZu3Qoej6fS1tvbGwkJCTh79ixsbGwUPkMMwyAhIQHp6ekwMDDAihUrEBoaKnXk1Smt+itocp4/IJQ5RxcuXICmpqbC+teLFy8q3UVGRUXJ8jTeugX07AncuIFnz57ByMhI6XtOmjQJ7du3lxMIaYgnT56Aw+Fg7dq1rFGWv4PC632BYRjcuHEDGzZswOjRoxEcHIzy8vL3Ejl48eIF7O3t4efnx5qi7N69u7Sud/bs2VRsKIBYdrVNmzasG5qG2LJlCz7//HP8/vvvVPYTJkzAtWvX8Nlnn8Hc3FylLcMwMDAwQE5ODjp27Ah7e3uV9m5ubvD19UXLli1x+fJlhTYHDhxA8+bNMXDgQKnDJKGNawyBQIDx48dj+fLlCn/Dx48fIyAgABwOB35+fli6dCl69eoFQgiGDBkCT09PrFu3DidPnsSjR4+UOhHqRBr/CpqcZ3ls27aNurQgNjZWeY1mI0gyP7Qy01lZWTA0NFSrAWn16tXKn+3KSmDQIKBRdqeoqEiG050WZ8+exco3ssnqYNasWWo7jU+fPoWtra1a57xL+UZ2djY4HA62bt1Kfc61a9fQvHlzjB07lvqcJ0+eICAgAHp6elSUrn8VQqEQ8fHxmDJlCrhcLmbPno1bt27JzWHBwcHw9/cHwzBwdnbGTz/9pHRMfX196OjooHXr1irXM6FQiI8//hi9e/dm7R/w8/NDq1atsHfvXpV2mZmZ0NTUhKGhIWsNvaGhIbp27YqjR4+qLCudP38+vvjiC7x8+RKbN2+Gp6enws+lq6uL06dPQygUYuPGjeByuZgwYQI6deoER0dH6Ovrw8TEBL6+vtixYwdu37793n2W/6zzrK7j9D7ra6qqqrBixQp07dpVruGBYRjo6uoqTD8vXrxYnl+ZYZCelgY7OzulajkPHz5E+/bt4e/vr7Kk4305lP9E5ObmYsGCBejWrRuMjY1hZ2cnFb0wMDCAra0tJk+ejMWLFyMiIgLHjh3DjRs3kJOTA6FQiPT0dJW12hKe6kuXLim9BltbW5iamqKyshJ8Ph+6urpUaafq6mrpJEmLK1euQE9PD3FxcVS/6cSJE/H48WPY2tqyKuXV1tbCwsICIpEIJiYmKjdkgJiX9syZM5gwYYLiVFxVFSq2bYO9tTV27Nghk12xsbHB2rVr5T4DwzCYM2cOZsyYodSxEYlEiI+Px5gxY6Cjo4PRo0fjypUruH//Po4ePYrVq1djwoQJMDY2Bo/Hg4WFBdzc3MDlctGjRw98/fXXCAoKQkhICCIiIrBr1y4cPHgQp06dQkJCAm7evIm7d+/i6dOnKCgoUMtBaIgm51kWKSkp1KwW+/btg5aWFlW5zunTp2FnZ0fNmnPp0iXY2tqqVRJQVVUFDofD3lTc6J7du3fvO0lfnzp16p045E+dOqV23TMg3ginpaWptU7s378ftra2VNoAgPjZHj16NAgh1FlNPp+PP//8E19++aXaqnEikUgt51ld+rq4uDhMmjQJXC4X/v7+SE1Nlfn+7t69i23btgEQN7GOHDlSquD766+/SkVRGiM7OxtOTk5Yv349IiIiVGYSGIbB999/j927d7NuBPl8Pvr37y8tj1MIgQCVx49j1eTJOHnyJGtE++jRoxg2bBjq6upgaWmplEc6PDwcX331lfQ3nDNnDtY26g0AgKlTp6J169bSTMjz58/h4OCASZMmSQVrZs+ejcOHD2Pbtm3w8fGBiYkJ9PT04OzsjBUrVuDUqVNqN+I3xH/Wec7IyICenh42bNhAVX/q5eVFTZ4uqU1mu0nLysqQlJQk14Cwc+dOODk5yfHbenh4YNWqVXj06JF48n1zjp6eHr766is55y4rKwurVq3CyZMnWdOfDMNg0qRJ1JRwiYmJ1BEPPp8Pd3d3atnMs2fPYvHixVS2eXl5sLa2ZuWerqurw6FDh2BraytH7cQwDCoqKvDo0SNcunQJ+/fvx/r16zF37lyMHTsWhYWFKC0txZdffomwsDClk2dRUZFKZUShUCiTzn348CGVih4gTulevnyZOgJWUVGBUaNGUave3blzB1VVVVQsHfX19bhx4wZEIhEVO8Ddu3dx9OhR5Yv1sWMAIYhwdMSVK1dk6JQkUsmKJlAAOHToEBX7SVVVFXbt2qWyUai6uhppaWkIDQ2FoaEh+vfvjwsXLuDEiRPYv38/tm/fjvDwcKxZswaBgYHw9/eHt7c3PDw84OrqqnqxUYEm5/ktKioq0KJFCzg5Ocnd6+Hh4TJqsHw+H+3bt4e2trbcxqW6ulqu+W7UqFFo06aNwmdi586dcsd1dXXRo0cPuVIAkUikUJikrKwMAwcOxNKlS2Xm84SEhLdSxwrmDqFQiNGjR0vLsgICAqid0x07drBmfhoiMjIST548QXl5OSwsLFijlX5+fjLHrl+/jj/++EMhpdipU6cU8iknJCSgRYsWmD59usxxT09PpRmA169fw8PDQ9oncfv2bSxYsID189XU1ODmzZuYOXMmdfq+oKAAPB6PutY6LCxMutn29fXF1q1bcePGDYWBgZqaGgQEBODOnTty3zWfz8fChQvRsmVLacDi3LlzUh+jsrJSZSnPq1evcP/+fXh4eIh9Ahb4+PhQiaQAYKcCLCoCNDSQZm+PyMhIlUEjCSSsOQ8fPlRKQiAUCrF48WKcPHkSgPhZU6T2eeLECRgaGsoFeo4ePSotSz1w4ABatWqF4OBg6ZrLMAxevHiBM2fOYOXKlWqLiTXEf9Z5BsQT7M6dO2FqaoqRI0fi/PnzKsVRoqKioKWlRbV7W79+Pdzc3KjqymbNmiXzoAcGBoIQItM8cvfuXWhpacHCwkI8mcfHA599hrorV9C+fXuFKRZXV1fqBr2goCBqRodbt25BT0+PytGuq6uDra0tq9y2BDt37oSVlRWVTPi+ffugra2tNPLJMAyuXLmCiRMnQkdHBytXrvxLghuzZs0CIUSlohgb5s2bpzbbBgDq76QhJkyYQE3lBIgneraSjYa4f/8+Jk2aRGW7ZcsW5WnA8nJAUxOpVlZycqlVVVWYOnUqnJ2d/99mRZqc57c4e/YsPvvsM7lnurq6Wq6OOCEhAQMGDFC4EIeGhso0ywqFQvTr109hQ55kU9swMFJZWYnOnTu/dXobID4+Xs6pBMTZHkII1q9fL3Pc29tb7JhXVwOdOgFv6vUlCAsLw5dffindNCqldmwECYvRd999R5312LlzJzZv3ox79+6hX79+csq2jTFy5EgZx+zs2bNo3ry5wqbi8vJycLlchc7e+fPn8euvv8o8w6dOnWLtybh69SqEQiEYhoG3tze1s1NeXg4bGxts2LCBat54+fIlvL29YWZmRl3OUl1djZSUFOzcuROzZ8+GlZUV9PX1YWlpCT8/P2zfvh3JycmYN2+ewnm4uLgYffr0UdpwFxUVRSX2w+PxqKLhK1asoF67qO7BX35BxeDB1AqX0ueABVlZWVQ85Pfv38fw4cOVvi4QCDBgwACYmpo2iaQo+/c+ap4fP36MuXPngsPhYNGiRUqb6qqqqhAYGAh9fX3Wzuhdu3bBxsaGdWJ7+vQpRowYIf1bJBLB0dFRmsoBxJMIIQT9+/cXTwYLFwIaGki5cEFhGvLWrVvUneonTpygdk7u3r0LbW1tKtnx2tpaWFtbKxR/aQyGYbBixQqMGTOGdcPx+vVruLu7w9vbW+F3+/jxYyxYsAAcDgczZszA7du334vjVVBQgIiICBgZGb1ziv7BgwdqUV5J4OnpyVpO0RhOTk7U0X5ALL2ujtTv9u3bqesS582bp3pR+u03vP75Z6WctfPmzUNkZCT1tf2b0OQ8v8WWLVsURtE2bNggV1cZFxensFyDz+eDw+HIOHEvXrxQ2nC7f/9+ORaC1NRUpQu9q6urTARcgoiICIUZM11dXfHiHRcnXlpPnZJ5PTg4GJ999pm0mZbWeQaAoUOHsta7NkROTg6cnZ1RUVGBbt26sQqsJCYmYsaMGTLHdu/erbSpOCIiQmmW6OHDh3IBlxkzZrAqKkogEong7u5O3SsiFArh7++P8ePHU9e7ZmdnY+zYsbCzs3tnOtLKykrcvHlTWi6gqamJZs2awdPTU1oewjAM3NzccODAAaUBHSMjI9ZyJIZhqLJ/ALBgwQJq2kcqHv8ZM8C0agU7yoDL0aNHqUuMTExMqPicx48fr7Ihtbi4GEuWLHmnvgA2NDnPjSAQCBAbGwt7e3tYWlpi3759qKmpkau9evnyJSZPngxbW1uVPIzHjx+HiYkJa02VlZWVTP1NbW2tTNSjoqICn3zyCXR1dcUHdHWBX35ROGlKxAJo6mkzMzOhp6dHJW/9+PFjcDgcqg74mpoaWFpa4siRI6y2QqEQ06ZNw9y5c1kXgUuXLkFLS0tmB52RkYHz588jPDxcyrZw+vTpdxYzYcPx48dha2v7zuPzeDxqflkJVqxYobbCoZmZmVrd+9u3b8f27dup7T09PZGRkUFl6+Lioppz2s8PTMuWcG3MY/4GErnuhu936NAhbNq0Cbdv3/5gv/XfgSbn+S0URdDq6+uhpaVF7QBt2bKFun6YYRjweDxq4YWysjIYGRkpfC0jI0Nu/srPz39LPzp/PtCsmTjT0gAbNmyQ0tpVVlbC2tqa6loAccbwyy+/pLYHAB0dHTAMgz179rAydTAMo7AsRplSnVAohI6OjrTulA11dXXQ09OjzpDV19fDxsZGpYJtY8TExMDIyIi1tK8hMjMz4ejoCFdXV7Wyd41RWlqK5ORkFBcXy9wbS5YsUfnd379/X6loVENkZWVRMyrNnDmTtT9FAkNDQ/YN2fHjACHwHjSIaszS0lLqe3vr1q1UnN/Pnz9XSZQAQNp4qc49Q4Mm51kFCgsLsWbNGnA4HLRt21YhDVxmZiaGDx+OCRMmoKCgAAzDyP2QCQkJ0NPTU9m9f+zYMVYOxNDQUHG3c20t8NFHQKOIgASxsbFUEcSysjJwuVwqZbnc3FxWkRcJqqqqYGZmprD+rTFqa2sxYsQIVvUhPp+POXPmYMSIEdKJmWEYREZGonXr1ujVqxe2b99O3UX/V7F161aMGzfunSLaGzZsoI62SLB79261I6/qqAAC4slVHR5ufX196uYZCdezUpw8CRCCGSom4pycHJmFvLa2FqampiCEYP4bxat/I5qcZ9XYuXMnFfc4IN5kcTgc6sxQQkKCWsp2GzdulMkIsmHnzp1vI+YcDqCA/ebBgwfSZ+PBgwes1I8NkZqaCnXXvzFjxuDx48dgGIYqjR4WFqbWZz5//jymTp1Kbf/w4UO1aPqqq6thZGREVWcrQUpKCrS0tNTWGUhJSYGVlRUmTZqE/Px8tYMeirBnzx6MGTNG5Xzo6+tL9flOnDhB/WxMmTIFDx8+pLK1sbFhLxMsKwM0NLCjd2/qja2+vj5VoKOiooJ6/fL398exY8dU2tTU1PwlcTNFaHKeKXDixAlMnDgRw4cPV1q7m5iYCB6Ph9mzZ2POnDlyD0ZKSgq4XK7SchChUAgtLS2VN5akEQKXL4t/IgXF/wKBANra2qyRFKFQCGtrayQkJKi0A8RRdi6XS1U2UFlZCRMTE1Y5b0DsvJuYmLA2Wt2/fx96enrYsWOHzPeakZGBtWvXIjIyEkePHv1b9OwbYvny5XJpT5FIxLoIFBUVwcrKSvo3TV385cuXZRpmaJx2dZ1nc3NzqgwEII4YKYvAKQJrKrq6GsjMhAGPp/IaDh8+LJMyrq2txYwZM6iyQP9UNDnPyiESiaCtrU1d7x8dHS3Lhc8CVbz6iqCnp6eWA+Xm5ibOAPL5QIsWAEtQIy4ujkrIQgJJ5Fwd7NixQy157vLycrXfw8bGRq0ys+3bt2P27NnU9mVlZdDV1aWOpALidczIyEhOvIaGBCAxMRFGRkbgcDhq8Wo3Hvvq1aswMTFRukbU1taCz+eDy+WyzvG1tbVYtmwZdUbS1dWVuufHzc1NpbKwFGlp8J4yhboxnXZTAIiFjO7du8e6PpaVlUFbWxsCgUClE//8+XNwOBxpyelfpa5rcp7fIyTE64QQhbWbmZmZKuVEg4KCVJY5xMTEiBsIHjwQT8IK0uBbtmyh2onOmTOHNdoLiFMtOjo6VOIS5eXlMDIyompKyMvLg7a2tlLeX0A8ya9evRpGRkbUrBR/JyRNLA0V9i5fvkwl/Wprayst01m9ejWrfXZ2NsaMGSP9m6YBs7HDqqhOsyEa184xDKM0gnfz5k25pillk1FdXZ1MU8zDhw+VLlju7u6salmenp7Yv3+/zHUCb7NAHh4eMgwJmZmZOHbsGGJiYnDo0KF/XONhk/OsHEePHqViWQDeOtq02ad79+4ppQFThNTUVEyYMIHanmGYt/SSFRXAggUAi+OwY8cOtUqnAHF9qDplS9nZ2dT9MBJMnDhRrahtZmYmhg0bRm3PMAxcXV3VaqYuKChQqdirCHw+HxMmTMDs2bMhFArB5/MRHR1NVZpRWlqKoUOHQlNTk8qBrqurk3Iw9+zZE5GRkeBwOCpLWpYsWYJDhw5RNe9v27YN1tbWVHRrIpEIP/zwA7Wyra6uLrW4TXBwMFWJCSDOirOVWUgQFxeHMWPG4FSjHgFl1xAVFYWgoCCVdjdvBO7PAwABAABJREFU3oSxsTH4fD42btxIXa6lCE3O83tGfX09UlJSEB4erjAKlpOTAy6Xi6tXr8o1xhQUFKjkS1y6dCni4uKUvl5VVUVVGxgTEwMPDw/WOqGKigoYGBiwNhlUVVXh1atXMDAwYHUci4uLsXXrVmhpaamMEqakpKBVq1bo06cPdTT0fwGRSAQXFxcpk8T06dMxZ84c1vP279+PNWvWICcnBx9//DFr+UN9fb1UaermzZvgcrms79HQeb5z545KkZWysjI5AYS1a9cq5eMMCwuTkbYVCoVKI0ePHj2SsnKIRCLo6OgojiSePo3TgwejU6dOMlmEwsJCmehDbW0tdHV1lW6oLl++DAMDAwQEBKCiogLV1dWYO3cuWrRoga+//hrz5s3DxYsX/zFCP03Os2JIxHho62cPHTpETXEJiMsX1Ilcenp6UquJAuLMGC0bjQTLli1Tm41H3cZgANDW1lZrE3nnzh0pbRwtpk2bplafRnl5uUxkkAbPnj0Dh8OhVhYExPfVxo0boauri7lz58LR0ZGaxePRo0fo0KEDrl69qrCZr6KiAjExMXBycoK+vj769euHn376CU+fPoW2trZKSrmHDx+iU6dOsLKyUt0f8gYODg7o06cP1e+YkpKCjz76iHot/eabb5Q2b8sgIwNJWlr4oWtXqnHLy8tl+JlVQSQS4euvv6ba4NbW1uL3339Hq1atWFnA9u7di3HjxsHGxoaKzUQZmpzn/wGysrLw2WefwdTUVO7Gd3JyUrqTHjNmjDjF+OABoCAiuGTJErmUVEOUlpbi9u3bMDQ0ZHUcVq9eDTMzM6qJfMmSJejTpw8VCf64ceNACFE5qZaWlsLNzQ2hoaHU8rz/S/D5fFhYWODs2bP48ssv8csvv7CeI3EAAwICQAihSnFKUqfGxsbo1auXSluRSCQtq6ivr8egQYNUNpZcuXJFZrK8cuUKmjdvrrTR1d3dXSbdHRAQoLQ049y5c9JISkREBAghisddtAgiQtCaEBknJTc3F/b29jIOdGZmJng8ntKUHsMwOHDgADgcDjZu3Ij6+npkZmYiPj4eiYmJWLBgAYyMjGBmZobly5fj5s2bEAqFyMnJwfTp02FgYIABAwbg8uXLKCws/KDR6ibnWTEuXrwoxw2sDBLWAdpI0vPnz9WiZaypqZE22tEiJCTkbUladra4RpQFU6ZMUUuaWnIOW1apMUaPHq12I5yhoaFakbri4mJpOp0WSUlJsLGxUet7Tk9Ph7a2thxFoCq8fv0aOjo60NTURNu2banLUtauXQtCiEyQqLCwEFu2bIG1tTVMTU0RGhoqFdfq3LkztLS0YGlpyVoiKRmbJjBSX1+Pjz/+GJ07d6a67qCgIBBCqGj4KisroampiaFDh7IP/IZBxoAQquzw06dPQQjBtGnTaC4b3377LVq3bk3Vw+Dj4wNCCFVv0Pz589GuXTu6z6gEyuZtTdKED4ZPP/2UzJ49m9y+fZvExsbKvDZp0iSyadMmhefl5eWRHt27E/Lbb4TMnCk9DoAUFhaS+Ph44ujoqPR9ly9fTmxtbUlERAT56KOPlNq9evWKLFy4kBQXF5MhQ4ao/CyFhYVk1apV5KuvviI9e/ZUaXv16lWSlJREtm/fTvT09JTadezYkezcuZN4eXmR7t27qxyTFiKRiCQnJ5Nly5aRkydPEj6fL94lvge0bNmS7N27lyxbtoyYm5uT8ePHs47dqlUr0qdPH/LDDz8QW1tb0q5dO6r34vP5pE+fPsTExESlXWVlJWnfvj0hhJCcnBxSXV1NunXrptT+7t275McffySEiL+r1atXEw0NDfLxxx8rtM/NzZX+3k+fPiURERHks88+U2iblZVFvv76awKAPH78mPTp04eIRCJ5wwEDiCYhhPfZZ+Srr76SHu7Rowe5dOkScXZ2JgKBgBBCSP/+/YmbmxuZP3++wvfU0NAg9vb25OLFi4RhGMLj8UhmZibR1dUlOjo6ZPHixeTcuXNk37595KeffiIxMTHE0NCQ+Pj4kE6dOpHu3buT1q1bk9OnTxNvb29iZGREDA0NiY2NDZkxYwbZsGEDOXnyJMnMzCS1tbVKv9cmvDuCg4OJr68vle3Zs2fJ77//Tjp16kRlv379euLt7U19LYcPHyZ2dnZEQ0OD+pyLFy8SfX198R+TJxOiq8t6Tn5+vtpzXpcuXUhpaala5+jp6ZHExES1zhk1ahTZuXOnWtdlZ2dHIiMjiVAopDpnyJAh5I8//iDOzs4kMzOT6pwffviBdOvWjXh5eZE7d+5QndOhQweSkJBATp8+TQYNGkRGjRpFdZ6TkxPh8Xikffv2ZN26dcTExIRMnDiRNGvWjERFRZHTp08TLy8v0rNnT8Ln88mkSZPIRx99ROzs7Iguy+/v5OREevXqRTw8PFivo76+nowYMYL8+uuvVNc9evRo0qlTJ/Ltt9+y2opEIsLj8cgff/zBPvBPPxFCCBnati3p0KEDq3n79u1J//79yS+//MI+NiHEx8eH9OzZU/F60QheXl6kQ4cOhMvlstrOnTuXfPXVV+Tnn38mDMNQXQs1FHnU/9R/7xJ5vnfvHry9vXHx4kWqhq21a9ciISGBakf89OlTKrWxmpoaxMbG4vDhw9JjEmogRY2F+vr6SIuNBQgBwsOlx69evYrffvtNqsojAZ/Pl6rz1NbWokuXLirV+M6ePYvS0lLMnz8f8+fPV9mkU1tbiyNHjmDbtm0qS0kkuHjxIq5evUrV1CcUCqm4oSW4dOmSykYIhmEQExMDPT09aGpqonfv3jA3N5fKczf8Z2BgAAMDA5ljtBKektIVmmZJQFx+ERYWRt0oExYWhtraWjg7O7OmKcvKyqQiERUVFTAxMVFZGnLo0CGZyIGTk5PSSIlIJJKpq6+srIS+vr7SlGRsbKw0Mubt7Y3k5GTFz9GjRwAhmPP553IvjRs3Dr/88otMxJphGMyfP58qFVleXo558+Zh9+7dKu0KCwulZU2KavMqKiqQlpaGI0eOIDg4GJ6enrCwsICBgYHaDCoSkKbIswwYhsH69esxduxYmeN37txROC9evHgRRkZGcmxGyqipEhMT5aLIDx48UMpEUFlZCVNTU5nyETYmIT6fL41m5uXlgf/FF4Czs8pzAHF26fTp09QsNmVlZfDy8qJiNgLEn728vBxZWVlwc3NTacvn82XmstraWnC5XKXrR0pKitzvU1paip9//lmODYdhGKVzfGxsrFzf0MOHD5XS4wHi0sF58+ZJU/xRUVHU9b3z5s2DlZUVzp49S8X40adPHzg7O2P//v2sjazz5s2jppIDgN69e1NH6n18fNRqLu3Tpw+1rYeHB3Ukn/n0Uxzs2JF6bBsbG+q5MjMzE0OGDKEe+5dffqEiQQDEDFbGxsbUYzeGsnn7fz65qvPvXZxnkUiEmzdvYv78+dDV1YWLiwv27dunlJS8YTqXjdmhtrYW7u7ucjKtyuDq6irlr62pqYG2tjb69u0rY/Po0SNYWFggxN4ejYn2Q0JC0KJFCznpzV27dkkJ648fP47t27crvZ6ioiJoa2ujvr6equaMxhGR4PXr12rRR23atEkp0b6isbW0tKiahJ4/f44//vgD+/btoxr7XbB06VJqWVhAvAirKxGqp6enVlrz0KFD1OT0AFBSUgJTU1Nq+y1btiAiIoLKVkdHR/mzU1cHEILt336r4KU6TJkyhaoZ89+GJudZFi9fvgQhBKNGjZK5z8eNG6fQwXVyckLnzp1lXisuLoaNjY3C8bt3744hQ4bIbLoWLlyoVPRq7Nix6N27t9QxZBgGenp6Sq8fENM+enh4oK6uDgf37YNIUxNgESQpLS0Fj8eDkZERtfMsoW/csmULVRBowYIFuHTpEkpKSpTKbEsg0/AI8Xf6ww8/KC1xOHv2rFydbHFxMQYPHoyff/5Zzt7NzU1pI/qJEyfw22+/SX//4uJiaGlpsTrET58+RX19Pa5evQoOh0MlW7106VJs2bIFixcvhp6eHqtjrA6L0Zo1a6ga3t5l7ODg4A82dmBgIKsInATM4MFI7tKFeuzp06dTU8bl5uZSNyMC4kZ8NmEZCS5cuKAWc0pjKJu3/9+XbWhqapLffvuNBAYGkoSEBBIYGEgKCgqIo6MjsbS0JOHh4eT58+dS+y+//JKEhISQffv2kTt37hA9PT2yY8cOUl9fLzd2q1atyPbt2wkAMmbMGMLn81Vey/Tp08n69esJIYS0bt2ajBs3jmRnZ4t3MW+wYMECcunSJVL77Jn4QI8e0tfu3LlDDh8+TIYNGyY9BoBs3bqVjB07lhBCiLm5ORk1apTStOO8efPIokWLSIsWLcinn36q8nozMjLI3bt3yciRI1XaSRAQEEDmzZtHWrduzWpbWlpKdu/eTaZOnUo19qxZs8jChQulJQrK8ODBA+Lo6EgiIyPJiBEjqMZ+F9TX15OWLVtS2798+ZJ8/vnn1PbV1dWkTZs2aqWPY2NjiZWVFbX93r17ibOzs1r2NPfC06dPyTfffEM0NZVMLx99RPDZZ6SNghTvRx99RAICAkhQUJDMcxEeHk42btxIXr58SX29Tfhn49GjR6R3797S0iFCxPOZpOSnMR4+fEjCwsJI3759pccSExMVlobV1taS0tJSsnbtWtKmTRvp8Vu3bpHffvtN4fVkZWWRX3/9lXz55ZeEEHFZG9sze+DAAfLo0SPSsmVLUvbwIdFkGEJYyjHWr19Prl+/ToqLi0mzZs1U2krQqVMnkpGRQfz9/ZU/Vw3w3XffkczMTFJYWEiSk5NVlm5oaGiQr776imRlZRFCxGUYLi4uJDs7W6G9gYGBtExKgi5dupC4uDjSoUMHUlFRIWO/cOFCsnjxYoVjWVpakgMHDpDXr19Lx1m5ciWZMGGCzPPfGL169SItWrQgWlpaZNeuXWTs2LEkISFBqb3kc/bq1YssWLCAxMfHk6VLl5L8/Hxib29PbGxsSFRUFCkqKlI5hqqxVV3vX4GmpiZVOcO7oEWLFtISOTZo9OhBWlGW5RAi9nHq6uqobNu2bUuqq6upx/7444/l7jNl6NSpEykrK6Memxb/753nxvjmm2+It7c3OX36NNm1axfp0KED8fX1Jfr6+mTJkiXE1dWVpKWlkS5dupCFCxeS06dPk9evXxMej0fWrVtHqqqqZMbT0NAg8+bNI5aWlsTKykrlw/frr7+SrKwsUlJSQggR15ZNmTJFpo6tb9++xMLCgnSQvE+DiXjmzJnE0tJSZszr16+TH374QVqHpGoyTk5OJhUVFYTH47F+TyKRiEyfPp2EhoZSOXCpqank5cuXxMzMjNWWEPGEGhAQQFq0aMFqe/HiRSIQCIixsbFKu5s3b5IJEyaQPXv2kB9++IHqOt4V9fX1KuvJG0Nd5zktLY38/PPP1PYMw5DHjx/LOBZsOHjwIBk+fDiVbXp6Ovnmm29YNy+EEHL69Glibm6u2ig/n2xRcq2ff/454XA45PDhw9Jj7u7uZOPGjaRHjx4kKSmJ6pqb8M9GeXk5OXv2rMwmPjMzk3z33Xdycw7DMGTKlClym7cLFy4onM+ys7NJdHQ00dLSkhmjtraWtG3bVuH1dO3alURGRkrfOyMjQ9ofoAwff/wx+fPPP4mGhgapffJEfJDFef7pp59It27dSOfOnVXaNUS7du1Ily5dyM8//0zlcEuc5++++45Mnz6dtdfCwMCAXLhwQfr3nDlziI6OjkKHsFmzZkRXV5fEx8fLHO/QoQM5deqUnMP07bffkq5du5Jr164pfO+vvvpKpoady+WSgQMHkrCwMNbPSYh4TY+NjSXBwcFk27ZtVOcQQsjXX39Npk+fTs6cOUO2bNlCNDQ0iIeHBzE2NiYhISHk0aNH1PXYH9J5btas2fuv130DdZxncvAg8R48mHrsVq1aUfeJtG3bltTU1FCP3b59e1JZWUll27FjR+nm7H3iP+c8N0SnTp2Ii4sL2bdvHzlz5gzp2bMn2bNnjzRSLRAISNu2bYm3tze5ePEi6dSpEzE3NyeLFi0ixcXF0p06IYTY29uTpUuXEltbW3L//n2l7zlx4kSyefNm6d+rV6+WidT279+f+Pn5keSOHQn5809CGkwqiibyDRs2kGnTprF+VoZhyOzZs8nq1atZbQkh5M8//yTm5ubk66+/phrbz8+PBAcHU4199+5dUlBQQIyMjFhtq6uryYIFC1jHPnPmDJk7dy45cuQIa0Pj+8CHjjzfvn2butmCEPHG4ffff6e2T0tLI3369JGJyqlCZGQkGT9+PJXtuXPn2H9bFgdg5syZJCQkRDqxt2vXjhw+fJg4OzuTmTNnklu3blFdSxP+ubCwsCC9evWSOXb27FmFTbIaGhoK77+MjAyFG+V+/foROzs7mWP3798n3333ndLrCQ0NlXEyaZzngIAA6ZgPa2rI6zVrCGFxMAYOHEimTJmiVlZJQ0ODfPHFF0RbW5vKvm/fvuTRo0fSa2TbVDd2njU0NEhYWJhSp23UqFFk+/btcsfbtm2rsKE4ICCABAYGUjuY/v7+5MyZM+T27dtU9h06dCBHjhwhycnJZM6cOWo7m59++ikZO3YsOXr0KDl8+DDp0qULycvLI4MGDSJr165ljfz+FyLPpFkzte7Z1q1bUzvPLVu2VJjdV4amyPM/CB999BFxdnYmFRUVpKioSM4hbdmyJRk1ahRJSEggv/zyCxk5ciT5448/ZCaQ3377jezdu5dMmTKFnD17VuH7DBs2jJw8eVJ6wzZv3lzGgbGysiKDBg0iOe3aETJpEiEqbta8vDxSW1tLFW3ctm0bMTIyIj0alIGoGvfw4cPEy8uL1ZYQsWNlamoqTXeqAgAya9YssmrVKqqx582bR2bOnKmyuz46Opps2rSJHDt2jHTp0oVq3L8KPp//QZ3n1NRUMmjQIGp7dUs2tm3bRsaMGUNlW1tbS9LS0lgZWSS2dXV17GwIe/eSmRkZSl/++OOPyYgRI8jWrVulx/r370927NhBDh48SAIDA8ny5ctlFpXa2lpy8OBBcubMGZKUlKQ2M0ET/l4oWoiVRZIV2b548YJ88cUXCssYFB27fv26TCS6MRo7fcoc84awt7eX/v/jigrSztubNfL89ddfk3Hjxqm0UYSPPvqIusytoePy8ccfE1tbW5X2PXr0IC9evJBxANu2bas0yt23b19SWFhIysvLqa6nR48epH///jIOuio0a9aMREZGEi8vL+oIY/PmzUlYWBjp1q0bcXJyUiuS2RDt2rUjdnZ2ZOjQoSQ9PZ2YmpqyjvVvjjxTO63JyWTe3buE5OZSmbdq1Yq6bEMdp5wQ9SLP6jja6qDJeW6Ali1bkvbt25MOHTqQjh07Kiwp0NTUJNbW1iQoKIhoa2uTkJAQEhISIn1wvvzySxIbG0s2b95MNm7cKHd+8+bNia2tLTl48KDCa2jXrh2prKwkPxJCiArnghBxHeiUKVNYP1dZWRnZtm0b8fHxYbUFQKZPn06Cg4NJ8+bNWe2LiopIdHQ0mT59OqstIeJSgV9//VUu4qQI165dI4WFhcTGxkapzdq1a0lcXBw5cOCA0nTsh4C6ZRuvX7+moviRICsri+o7kuDq1auEw+FQ2dbX15PU1FQ6iiJCyKFDh8jw4cOpJriEhASV9IRSpKQQncJCcv78eaULw8SJE8nOnTtlauE0NDTI559/To4ePUratm1LLCwsSO6bybx169bks88+I2PHjiVaWlpk7969cmVWTfjnora2ltTX11M/J/Hx8VQlaBJcv36dDB06lNo+KyuLfPPNNyptGj4TXaqrSfPkZEJYHB0NDQ3SoUOHd3K21AkOtG3bVnr/0zy7P/74I8lgWXMaYsSIEeTAgQPU9v7+/mT58uXUn/uLL74g8+bNI56entTnaGhoEC8vLzJq1ChiaWlJXrx4QX19DdGuXTvSpk0b0rdvX/L999/LlKspuhY257mwsFDta7hx4wYhRL3Ic2NKXDa0bNmSvgwuP5/oFRaSimfPqDJ/DTdwycnJal3X06dPVX6fjR3ily9fKrXX1NSUW2MkpbN/Bf9T51lDQ8NUQ0PjoYaGxhMNDY05/8trURdDhgwhBw8eJGlpaXI8ou3atSP79+8nOTk5ZNq0aeTUqVMyr48bN45ERkYq/bFfvHhBJj96RMiECUrfv6amhly5coWq9CEgIIAEBARQOXuHDx8m3377LXXUc/bs2SQoKIiqdrmmpoasW7eO+Pv7s9rW1dWR2bNnk9DQUIWvFxYWklmzZpGCggKydetWqvd/n1C3bIMQ+t11fX09adGiBbV9Tk4O6datG/V3cOLECWJpaUk9fnR0NHF1daWyVVTvLFkEZNC6NWnJMGTlihXkiaRWlBBSUFAgbeD96KOPyJQpUxTeA5qamsTLy4usXr2auLq6kn379hFCCNHR0SF37twhS5cuJZqamsTGxoaMGjVKrsGpqqqKrFu3jvj5+ZHx48fLNA034X+Dy5cvU5clECLuhVDHeX727BmrMywBAMIwDHVDHyGEmL54QYgazrm6aN68OX2KnYjrnh88eEBt37h0gw0jRoyQPnc0+Oyzz8jQoUPJ8ePHqc8xNTUlX3zxhVq804SIS4LWrVtHHBwcyKFDh0hOTo5Cu3eJTp85c0bOKWdzng8fPsza0NgYO3fuJJcuXVIr8rx48WJW4oKGqK6upv8N35SXnj58WGn9uqy52Hmurq5Wi2udEDFBgKpocePIs5+fH3WUWyAQED8/P7WuRxH+Z86zhoZGM0LIRkKIGSHke0LISA0Nje//V9fzV6CpqSnniDRr1oysXLmSFBUVEQsLC3L58mXpax07diTff/+90h1fQUEBaaupKb1ZFWH37t3E2dmZ1QG6c+cOefnyJavYBiHi6GhISAhZtGgRqy0hhFy5coUwDEN0dHSo7FeuXEmmTZtGFSEODAwkkyZNUlg/FxcXRwYMGEA6d+5MVq9eTdV9/r6hTtmGhNpGGUQikUz9/L1795SmizMyMkhKSorMsdjYWLlGUgmuXLki18W8a9cu4ubmptC+sfjAw4cPySeffKKwuenIkSNyogh37tyRaXS8fv06CQoKkn+j1q2JJiHkysWLJDU1VXq4TZs2xMrKShoxGzlyJDl37hwpLi5WeL0DBgwg586dI9evXyejR48mFRUV5LPPPiP+/v5k8uTJJC4ujvj7+5O4uDiio6ND5s+fTx4/fkzatWtHbGxsSH5+Pjl06BBxc3MjNjY2ZPny5SQhIUGtzu8mvB8oq3dWBADkyZMnVGIQhIjZfTp16kS9YczLy1Ord6KyspK0a9aMkJYtCaGcj9RNVavb+CRpGqSFnp6eWg7exx9/TD7//HNpbTUNZs6cSdauXatWGUJQUBDZtWuXyo2Aovn1p59+Ihs3biSurq5k4sSJCm127dpFrl69Sn0thIidr5EjR8rMfWzOc01NDZkyZYpadb3Pnj2TBgFoIs+VlZUkNTWVFBQUUL/HnTt3SH5+PsnLy2M3fuOPnDp0iKoWXVK28eeff5Lk5GTq3/zy5cvk8OHDKsvuGkaeExMTSXR0NPVGKCQk5L30zLA+5RoaGlM1NDTo5JzUw++EkCcAngGoJ4TEEEKGsZzzr4KGhgZZtmwZ8fHxITNmzJApnvfy8lIaVS0oKCCtCVHqPAMgu3btIu7u7irfX9LIt2bNGtZrra+vJ3PmzCELFy6kaiKrr68nc+fOJStXrmS1JUTc/Z6UlKRSGZEQ8U44NTWV3L9/XyGNWn19PZk6dSrp2bOnyvrFDw11Is9VVVVKWSqqqqqInZ2dzESRmpqqsFnwxo0bRF9fX66c48yZM8TU1FTO/siRI8THx0dms/LixQtp81FjhIeHkz///FPmWFRUlMJGrbCwMBIWFiZT2iOhGJM4BdnZ2cTGxkaxIuGbe/uX/v1lrq9Dhw4kKyuLuLi4EJFIRDQ1NYm/vz9ZtmyZ/Bhv0KpVK7Ju3ToycuRIYm5uTq5fvy7zev/+/cmyZcuktGaBgYHEyMiInD17loSHh5OrV6+S+Ph4sn37dvLLL7+QhIQEMmLECMLj8YinpyeJjo4mT548+WA1jf8WfMC1gBBCSEpKCrWSmqSsidYBTUpKoi5TIoSuWbAhCgoKSKfWrVUGPP4q1G18Utd57ty5M6moqFAruj169GiyY8cOavuOHTsSExMTtSLWLVq0IFu2bCETJ04kcXFxCm1EIhFZtGiRXPTx+++/J1u2bCHFxcUKHb4+ffoQMzMzxdkxJejUqRO5dOkSWb58ufQYm/MsEAhIUVGRWkxBn3zyCREIBITP51M5noWFhURLS4uq3FKCrl27kh49etBtyt7c2z26dKHaWEoizy9fviT9+vWjpgFMSkoiXbt2VVla0TDyLCnhY3OeAZCqqipy4MCB9xJwoxnhc0LILQ0Njf1vyizU2y4rR3dCSMPtzvM3x94rXr16RQ4fPky9G7t27Rp1PUxNTQ15JuFjVoJevXqRtWvXkvj4eJn0dJ8+fQifzydPnz6VezBevHhBWopERKSgzKK+vp5cvHiRDBkyRMbpaByZq6ioIJaWlkRbW1uOMaOkpERuJ2tnZ0cKCgoUpkEb3/T5+flEV1eXODk5ka5du8q8Vl5eLjf5Hjt2jEyYMIGsXLlSbrFr/F3v3LmTWFtbk3nz5snZ1tTUkMTERLJ+/Xpy69Yt1oi3OnVNr1+/Vqver127dtQ1zyUlJaR3795yx4uKioiOjg65deuWTJlMTk6OnPNcUlJC3N3dSffu3WWa8QQCAWnVqpVcg97169eJk5OT3Abj9OnTCqPOwcHBxNPTU6YMCIBU6rohLl68SLy8vOS+/6SkJJmSjVatWpFu3bopdlpatiSMhgbp8cknco2Ojo6ORENDQ3ofGRsbk2fPnrE2J5mYmJAjR46QNWvWKFycmzVrRgwNDcnOnTvJ4cOHScuWLYmTkxNZunQpEYlE0oV90aJF5OTJkyQuLo5MmTKF1NXVkeXLlxN9fX1iY2NDzp8/r/I6/h/jQ60F5Pnz5+SLL74gzZo1I3V1day16g1LNpRlJRpC0izI5/OpGo0kzjPtHJKfn08+btGCMK1aUdkTIn52aTdkAoGAtGnThjryXFZWRvr27UvlPItEIqlT/ttvv7FG5crLy6VRV319fZKYmKg0MsowjFwE0cvLi2zcuFHh+1RUVCiMzvbo0YO0adOGWFpayswDkoxu8+bNSUlJCRk6dKjMOtuyZUvi6upKbt26Rfr27SsX8Bg4cCCpr6+X6jU0hDIqwS+//JKMGTOGDBgwQHqMbT2YOnUq4XA40g0ZDU3h2rVrySeffEI+/fRTqrWmd+/eREtLi4oUQILffvuNfPrppzKfRSne3Nud2ral6nH6+OOPSfPmzUmvXr1IQECAnK/QGJ988glhGIZ88803ZP78+WTgwIFKbTt37iz1D3r16kUiIyNV6lb07NmT1NTUkHbt2pFu3brJ0KC+MxQppzT+RwjRIISYEHF0+AkhZBkh5Fuac1WM6UAIiWzwtxshZIMCuwmEkGRCSHLPnj3VVocpKirCunXr4OjoCF1dXTg5OSE0NBQ3b95UqNR09OhRmJubY/jw4Th69KhKNae8vDzo6+urVPRrCGtrazx9+lT694IFC9C1a1c5CeYZM2agoFMnvNTWlhvjwoUL6NatG/bu3Ss99uzZM7i6usrYnTp1CoQQBAYGyo1hb2+P7Oxs6d9ZWVkghGDatGlyilePHz+GcyO52V27doEQgg0bNsiN7evri+vXr8sc8/DwQNu2bXHjxg2Z4yKRSE7FysLCAgMGDJC5Pgl2794tlaKmgTpKS3w+H0VFRdT2NBAIBNi9ezfWrVun8PXKykpoaWlh0aJFrGMVFBRAV1dXoVKYonvv7NmzcHBwUKjUp8h+wYIFsLS0RFlZGavtnj17MGHCBCQnJ6u85h07dmDdunWKn43iYlTHx8POwkLh9ZmamsooYNbU1FDLGTMMg6qqKlY7CQoKCqhtS0tL1bJvCPL/QGGQZi1Qd84uKytDYGAgtm7dCkA8B6uSDM7JyYGjoyPy8vIAAAYGBirHlyhp1tTU4Pz586xqY3w+H+7u7sjLy4OhoSHr3M4wDKKjo3Fz0CBUtG2r0rYhPvnkE+r79N69e+ByuThz5gyVvaurKwoKCsDj8VhloHNzc6XS0ufOncPs2bOVSnMDwJQpU6Qqj/X19ZgwYQJGjhyp0La8vBx2dnYyx16/fo2ffvoJ/fv3l7OfOXMm1q5dq/A5f/z4MQYOHCi9TwDIrJ1JSUlo0aKF2mpy6enp0NfXV0vN9fnz57C1tVXrfUJCQnDo0CG1ztHX11fLfvny5SrVJBujqKgIjo6OdMa1tcCtW7DV1lbru5o8eTLu379PbT9jxgzWtaUhbG1tqdfuuro61vmiMZTN21Sx6zcDvHzzT0gI6UQIOaihoUHHN6YYzwkhDbnNehBC5FpjAWwGMBjAYDZFPEX45JNPiLe3N4mJiSEJCQkkODiYdO/enezfv59YWFgQY2NjMmvWLHLkyBHy8uVL0qZNG7Jr1y4SEhJC7t+/TwwMDIi3tzdJTU2V25n26NGDnDlzhjx48IA4OzuzptQWLVpEFixYIP176NChpKioSKaZITk5mRw6dIhs+PZbkuPgIDdGTk4OqaiokKmJVdSklZCQQFatWkXmz58vc7ywsJDU1dWRr776Snrs3LlzZN26dWT9+vVyDTLbt28no0ePljl25coVsnfvXoW0SYr4hu/cuUNOnjwpd7wxo0RNTQ1p3bo1uXLlisz1SaAu3Zs6aNmyJfnkk0/e23i5ubnk559/JlOnTiUuLi4Kbfz9/cns2bNJQEAA63hz584lQUFBChtEGwcA6+rqyJIlS0hERATR19dntb937x5JSUkhx48fJx07dlRpW1lZScLCwkhISIjKFDsAKR2ewgBlly4kv3t38qmCKImGhgaZOHEiiYiIkB5r3bo1uXnzJunbty8JCQlRyR+qoaGhFvOKOvdUp06dPtg9+G8AzVqg7pxdXV1NAgICpLWnbLW98fHx5MCBA9Koo4aGhsq0dlRUFLl69SpJTEykUjI7duwYOXbsGLl06RIV/2x1dTUJDAwkO1q1IvtZhJwk2LFjB6mpqaGuMRaJRCQ7O5usXLmSKoWvqalJbt68STIzM8mKFStYbSVr27Vr18jKlSuVNthJILFv3rw5qaysJAcOHKCOonfo0IEEBweT3Nxcud+iefPm5P79+6R3795k7dq1Ms1vvXv3JtevX5fh4u7WrZv0/3///XeSlJREYmNj1aKpHDBgANHS0iLHjh2jPqd79+5EIBCoxaKhbkMmIeLvo3FfiSqoW9ojEAjoG99btSJk8GBSrkYzOyGEPHnyRGHmVRnS0tLITz/9RGUrEonI69evqddudVip2EBT8+yloaGRQghZRQi5SggZAGAyIeRXQgidPJli3CKE9NHQ0PhGQ0OjJSHEiRBC34b7jujWrRsZPnw4Wb16NTl37hyJjY0l9vb2JDc3l0yfPp24ubmR3r17k0OHDhFfX1+SmJhInJ2dSWRkJNHT0yNr1qyRloAwDENatmxJli9fTiZOnEgsLS1VToaS1Lyk9srU1JSEhobKTFT9+vUjOTk5JKdfP1KhgNA/Pz+fxMTEyKRZzp07J6e+5+joqLCjVJEzPGzYMIXdsCKRSCEdlI+PD3FycpKzl8jtNqwnqq2tJZs2bZJL/RMiX9sLgMTExJCPP/5YzpaQD+s8v2+cOHGCtG/fnixfvlzhg33lyhVSWlpKrK2tWeuvbt68Serr6wmXy6V679WrV5OJEyeycy0T8T0skY2nmRADAwPJzJkzWevir169Sn766SelvyVJTibYsoV0U/J7WllZkTNnzsg4LnPmzCHt2rUjkZGRH4S3swmq8aHWghYtWpC2bdtKAwtsDkCbNm1I//79pRzL7dq1U+kQd+7cmXTv3p0YGhpS1Ub26NGD1NbWEh0dHSqJ4Xbt2hGRSESYgQNJGmXKvH379qS2tpaa/aNNmzakZcuWpEWLFlT1ms2aNSM//vgjadGiBes80HDz4enpSTp37iwj3KXIXuIoa2hokM2bN5PevXsrLbVR5FQbGhqSgwcPKmw2HDNmDGnbti2Jjo6We85btWpFHBQElSTX8ssvv0jXY1pnnpC3jYzqiJG4urqS3bt3U9urSwVIiFg9sWEzORs6deqkVlOpWqxRz58TRESQzmo0PQIgQqGQmgmKz+cTTU1Navvbt2+rpYegTlMyG2giz58Q8n/sXXdYVNf2PfYSe0xMTDHJS2LK05cYjcnMMMDQkaYUEWyIYkPFriAWREVBUWwgoqjYG4qioqJiodi7IqCIAoIiSBum3PX7Y5wJw8zce66a8nuP9X18icOZO5e5956zz95rr0X6AbACsBuAnBBCADCEEP0t/hQAoCCE+BJCjhFC7hJCdgG4/abHe1M0bdqU/Prrr2TChAlky5YtZN68eSQiIoJ07dqVFBUVkQYNGpDevXuTNWvWkKSkJPLFF1+Q0aNHEwcHBzJ8+HCNHaiJiQk5dOgQiYqKIjNnzjSYrQgKCiJz5szR/NvX11crKGrdujUxNTUlpu3akbZ6HrTBgweTPn36aP6t5gfW1f/U13AGgCQkJOhwTA1xkU6cOEHMzMx0stFdu3bVO16fUUeLFi0MOuXVvfHZRPkJ+f8RPAMggYGB5N69eyQlJUVvs111dTWZMWMGWb58OefxGIYhM2fOpG7MzM7OJufPn6eWlouKiiIWFhZUmtL37t0j9+7dY9XdVoPT+TI+nnwdFkY+rpU5qo1GjRoRFxcXsmvXLs1rTZs2Jbt27SKbN28m/fr107sQPXz48E+xYq0HIeRPWguaNGlCgoODNU1IXJnnli1bktWrV2sWWC4ThPfff5+EhYWRxo0bU2Weu3TpQry9vcmnn35KbTHcq1cv4mVqSr7NyuLUeSaEEIlEQjp16qRT6TGExo0bk6+//po6a9awYUPSsGFDMmPGDM5nu3bmuWPHjiQkJIQ6eCZEtXnYs2eP3u+JbUNuY2OjpcyjRtOmTUl8fDxZt24dp2OvPojFYtKtWzeyZs0a6ve0a9eO2NjY8GpkdHR0JAcOHOClQd25c2fy9OlT6s/4/vvvef39fDPPvILnW7dIg1GjyHc8/A0KCwv1NqcbwpUrV6ibhgnhL1fJ14mXDZzBM4DZAPTWcADQt/Lqf38igG8B/AvAgrc51rtAkyZNyMiRI8nAgQOJjY2NDvG+WbNmxMXFhcTHx5NVq1aRI0eOkGHDhhEvLy9SVVVF2rdvT7Zt20a+++47YmVlRe7fv6/zGV999RX54osvtMo3dT8nIiKCiJOTyXcrV+q8v26Xa0pKit6srj6cOXOGCAQC6odl48aNOllqNhw/fpxKd1qNGzduUJdnCFE1f74JdeevgkKhIKNGjSLNmzcnERERpGnTpno3A/PmzSO+vr5Uf8vmzZuJmZkZ+YTDtYwQVeA+adIksnTpUqos8tOnT8nOnTvJpEmTqI49ZcoUEhYWxnnsx48fE5lMxl6qq64miiZNDAbPhBAybNgwEhMTo7U4de3alfzyyy9k165dejXUAZBff/2VfPjhh2TBgr99Svmvwp+1FrRu3Vpro8UVAJiammoZ8XC5jRkbG2tobTTB80cffUT8/f0JIfQWwwEBAeSb69eJ75EjhFBIZrVr1478+uuv1MoWjRo1Ip06deJ0Cqw9nmEY4uXlxZmZq2siod44GII+ZYkff/xRv6oO0Z95rv3Z+vD111+Tnj17ahx7k5KS2P4EHQQEBJBDhw7pSG+yYfz48WTNmjXU16R58+bkxx9/1JLa5AJf6gZfxZQ3CZ6pPRJePwdteSSw+KrW8DUySklJodaGLywsJB07duSlRsKGeofBN8Tnn39Onj59Sl6+fEnmzJmjKQU2aNCADBkyhKxfv56MHTuWREdHE6lUqlUOmjVrFlmwYIHBSeXf//43qWnenDSh6ApPTEzU4Tsbwvr16/VmQvWhpKSElJWVUbvcvXz5kjRu3FiLj8YGAKSqqopKFk8NPuWfvxpSqZQMGDCA9OrVS69SiBqXLl0iDx484JTsI0TVeR4dHU0V3BKikqb77rvvOC2F1fDz89Nk5Liwb98+0q1bNyor+DVr1pCxY8eyDyopIVVNm7JmYtq0aUP+85//6NVh/eSTT8ihQ4dIbGwsiYiI0DxLX331FTl//jz58ssvSUZGBhk8eLDeDDUAcu7cOXLy5EmSnJzMa4Gqx7tF48aNtTaZrVq1YlXbqDtncGWea+s70wTPDRs21ASPNLQNQlTBYyO1ggIl37Zz587UgVrjxo0JADpVBPKHK13z5s05q3V1OeMNGzYkzVlUQ2isqDMzM8mWLVvInj17SH5+Pi86RO1jqx17IyMjdWQ02dCoUSMSExNDxo0bR+0y+t577xFXV1cSGxtL/TleXl68xtMGz2quN9/gubS09I04z1TUkNf3ddtaCTwuPvabBM+0kpIymYxIpVLD1MA60EdvfRvUB89vgYYNG5J27dqRL774QofX+q9//YscOXKEPHnyhJiYmGhRNT788ENibGxs0KKbEELK27YlTUtKOEuAV65coeL8lJSUkOfPn1MFP4QQsm3bNr06y4ZgSGvYEPLz86myqf8fUFpaSpycnMjAgQNZNycymYxMnjyZrFy5kppfPH36dNaFTI2KigqydOlSquZDQlSB9meffUZ69uzJObayspIsW7aMBAQEcI6tqqoiqampxMzMjH3g06fkebNmpFmzZmT+/Plav3r06JHm/8eNG0ciIiL0HuK9994jO3bsIIWFhWTs2LGaQOSDDz4gycnJJD4+nkyePJmEhIQQJycnrSC8QYMG5IMPPiCBgYHEzMyMBAYGktOnT/NqzqnHnwOa4Kw2uDLPtdGyZUternK0mWdCCGn42ev+d8qyfJMmTXgFz3zuTT6udLVpGzSgmbu+/vprUlZWRsaMGUNu3LhBli9fzinraujYrVq1Irt37yZZWVnEz8+POhDv3Lkz8ff319vYbggjR44ksbGx1G51PXv2JNevXzfo6vfkyROt6/bll1+SR48ecX7f6sbQzz77jJf7aUhICK9mSXXmmcoB8PV93ea77wghqrk+MjKS9S23b9/WCZ4N8b4BkKKiIp0KhqHNT3p6ut5A29AzpY/vDICXI2Nt1AfPfyKaNGlCJk2aRNq2bUsWLlyoZUs6adIksmLFCoMXurxtW9JQqSSkqMjg8bOzs8lXX31F1UASFxdn0FVOH/bu3Uucnel7gNhc7vSBNuhXQy6Xv7Nyy7tEfn4+cXR0JAEBAcTRkd3jJyQkhAwePFirQ9wQ1PziuhxyQwgKCiJTpkyhyvyXlZWRsLAwEhQURHXsRYsWkQkTJlAdOy4ujnh6euosgikpKdqT4JMnpKBRI7J3714dx8SJEyeSwsJCQohqE6pWGtCHhg0bkoULF5LevXuTvn37ariy7733HmnQoAH5z3/+Q+Li4kh4eDjZvn07sbS0JIcPHyYASNeuXcnZs2fJ0qVLiZ+fHzl58iSxsLAggwYNInv27KEOyOrx94Ir81wbfIJKQgg155kQQhqr9fT/hOC5UaNGvIJnWlc6QrjVSvSBK/hr2LAh8fX1JampqeSnn34iX3zxBZkzZ44mkXTt2jVeAXujRo3I0qVLyQ8//EBcXFyon00bGxvywQcfUNt7N2/enHh5eWkp/ahx8eJFnUCrQYMGxMHBgSQkJOg9Xn5+vk7j/rfffsvpynjq1CmyYcMGzTxK812VlZWRkydPUm1S1JDJZKS4uJgkJCRwK4c8fUoq33uPfPRaCSs4OJgzK/7w4UMt5awDBw6QLVu26B2rz9VTJpMZ1JTWx3cuLS3Vqy7DMAx58uSJzvEXLFjAK1NfG/XB85+Mtm3bkmPHjpGsrCxSUFCg2dG2bt2aDBgwgKxfv17v+yrUpQiWifjIkSPExsaG8xwAkL1795J+/fpRnfP169fJN998Q02pkMvl5OnTp3rl5Qzh6tWrBhsJ9aG4uNggp+7vQmZmJnFzcyOrVq3i5F3dunWLZGRkkGHDhnEeFwCZNm0aCQ0Npcry3Lp1i2RmZlI18hGikr0LCAigCoYfPHhArly5YrDDnRCiCVgBkK1bt+o0KyYnJ5MxY8Zof15yMln99dfk1KlT5NmzZ1qLA8MwxNnZWbNQjRs3jqxatYr1PIcMGUKmTZtG7O3tSXZ2ts7vv/zyS7Jq1SoSFxdHUlNTibGxMdm6dauGJy4Sicj8+fPJqVOnyLx588jTp0+Jm5sbsbe3J2vXruXV5FOPvxZ8Ms98QUvbIISQJurgmTJTyDfzzIf68GdnnmnHf/PNN6RTp07E2dmZbNmyhRw/fpwYGRmR6OhoIhaLycSJE0lKSgr13+bj40PGjh1L7OzsyOPHj6nes2DBArJp0yatHqSLFy8a3JAPGTKE7N69WyfjWVZWRhwcHHQqFwMHDjQYEH788cdk+fLlWtQOMzMzg06JalRUVJBFixaR0tJS8sknn1Bln2/cuEE6derES4lIJpORgoIC8v7775Pbtzn0GpYsISF2duSTTz4h9+7dIytXrmR9NtT3nzq5l5WVRQYPHqwjbqCG2shIDQBkxIgRBq/ThQsXtPjR1dXVxMHBQa9Ygz5VjvXr15PQ0FBO8xZD+K8PnqVSKSkuLqZ+2PlMwgCoJ7+vvvqK+Pj4aJXgR4wYQbZu3aqXb/Tkiy/I5bAwQlhoFrQcnvT0dPKf//yHtYO6NtT6vLQ4f/48tYyaGlevXmV1EKoLvkobfBYDNbKzs0l2djbJy8sjz549I6WlpaSqqkpvxufkyZPE3t6erFmzhpOHqFQqyYQJE6jpGocOHSLffvst+e51eYwNAMjkyZPJsmXLOI+tUCjIuXPnSGlpKSdP/u7du6SiooK1SRAAiYqK0gS2J0+eJL///rvWpuvu3bvExcVFl/f20UfkeYsWxMrKikRGRmpdrx9++IEUFxdrJCGNjY3JpUuXOJ9NsViskWI8d+6c3jEffvghCQ4OJocOHSIFBQXE2NiYrFq1Susaf/XVV2TChAnkyJEjZPPmzaRNmzZk8uTJxMzMjMyfP1/Lwawefw74ZE75ZJ4J4Tc38KJtdOxIZvz8MyEU/QyE/Lm0DT7fX92GQRrQfocKhULrPJo0aULMzc3J6tWryZkzZ8iAAQPIkSNHiKmpKfH29ta78a0Lc3NzEhUVRTw8PMilS5fIo0ePWCXgmjZtqrH3Vgd7X375Jenduzc5fPiwzvgmTZqQMWPG6NDFevfuTU6cOEHc3Ny0ArSPPvqINGjQQK+L8UcffUQ++eQTkp6ervmOJRIJSU5OZv0bFy9eTHr16kXatm1LzXsWiUTExsaGVzAok8lI9+7diZOTk1YTrl60bUuuVVaSjz/+WNO4PXr0aIPDHz9+rJVQKykpIR9++KHBZtS6wXBmZiY5ceIE+eabb3TGVlZWkoYNG2rFNAkJCeTs2bN61826lI2XL1+SiIgI8v333/PSrNaCPueUf+rPL7/8Ar7Izs5G//79IZFIIJFI4OTkhEmTJmHVqlVITEzEvXv3UF1drRk/bdo0GBkZwdvbG9u2bWN1WsrJyYFIJMK+ffuoHHe8vb2Rm5ur+bdSqcTAgQPRunVrrXMAAE9PT1anpKKiIlhYWGiOM2rUKL3jLl++jH79+uHGjRua11atWoWrV6/qHX/q1CmIRCLN38MwDHx8fAyex8uXL7VcBePj45GYmGhwvBpq5yRD510Xhw8fRmBgIAICAqjG19TU4Mcff9Ryo+LCnDlzMHLkSAwdOhQeHh5wcXGBg4MDrKysYG5urvXz+++/gxCCZs2aITAwEJWVlQaPq1QqcevWLerzePz4McrKyjjHSaVSHDhwADdv3mQdxzAM9uzZg7Fjx6KgoEDLua8uSkpKMH78eDg5OYFhGIPnXVVVhb59+6JBgwYa18yioiIdp6ecnBxYWFggPj6+9ovAnDnIOXMG3t7eyMnJ0XpPTU0Nhg0bhuvXr2tey8rKwsGDB5GUlMT5rL18+ZLzO1FDKpVi586dVM+vVCrFsWPHcP78eapj1wX5L3AY5PvzJnP2ixcv0LlzZ9a5tzYGDBiASZMmUY3Ny8vDF198QX0uFhYW2LhxI9XYnJwcfP3119THFggE1I6B169fx/fff0997J9//lnH0dUQDh06hJ9//plqbGFhIf71r38ZXD8AoLq6GgcPHoSXlxcEAgGM9Djl6sPdu3dhZ2eHjIwMqvHFxcW4d+8elEolunfvjgkTJug4pNbGrVu3tJwLbW1t0b59ezx8+FBnrFKpxN27d3Ve9/f3h4ODg87rubm5qKqq0vu5BQUFsLS01HpN7dDIBmNjYzAMg2fPnrH+XbUxadIkHDhwgGosoHJ7PHDgAGbPns0+kGGAmTORu3s3ANVzZMhVUo2qqio8fvxY8+/o6GhERUVBqVTqHZ+VlaXlhnnjxg0MHjxY7zxQU1Ojs26sXr0a4eHhePLkic743NxcrRjr1atXEIvFeq99XRiat//2yZXPz5tMxHVRWlqKq1evYt++fQgLC8OYMWNgY2MDiUQCc3Nz/PLLL/jiiy8QEBCA5cuXw9XVFcbGxpgwYQIOHjyoE9SUlpbC398fFhYWuHDhAutn37p1CxYWFlo3yIkTJ9CiRQutia6srAzm5ubw79EDMPAgiEQi9OjRA6WlpXjy5AkGDRqkd1xkZCQIIdj9+qYHAEdHR4MPo6mpKT777DONBXFeXp7BYwNAXFwcWrRoobEdjYiI4Hx4Q0JC0L17d+Tk5KBfv34oLS1lHV9TUwNPT09MmDABIpGI1TJdjWPHjkEgEMDS0hIHDx7kHM8XhYWF2L59O2sg+qZgGAYvXrww+PtXr14hNDQUH3/8MbZs2cJ6rOrqajg4OIAQwml5yjAMBg8eDEIILl68yDq2rKwMIpEII0aMYB3n6emJy5cva78YF6eaevQ8D2pcvHhRZ2NVWVmJzz77DL/99hvn+f0TUR880yE/Px/dunWjtiaeNWsWPvnkEyrb9Nu3b6NVq1Y4deoU51iFQgEjIyNYW1tzWlwDwLlz5yBq1QqPZ83iHFtWVoZ//etfmDJlCudYAIiKikLnzp31BnR1UVxcjA8++AArV66kOrZEIkGPHj2QmZnJOq6qqgpGRkaQSCRYu3at1u9KS0uxdetWuLq6wszMDIsWLcK9e/eQnJwMgUCABw8eUJ23g4MDfv75Z+zatYtqnldj69atIIQgPDyc+j2nT5+Gr68vtm7dSv0eAPDz88ORI0d4vWfo0KFaCSwajBgxAvfu3eP1ngULFuDkyZO83rNjxw6sW7eOfVBurmrOfn3dN27ciJiYGF6fY25uTpUUUmPw4MFaCRQ2yGQyCAQCSKVSqvFhYWGca6cahubt/3raRl20bduW/PTTT6Rv375k8uTJZPXq1SQxMZGcPHmSHDt2jDg5ORG717weY2NjsmvXLpKcnEwGDx6sseE2Nzcns2bNItu3bycrVqwggYGBZMOGDWT9+vXEzc2NPHjwQO9n//jjj8TNzY3MnTtX85qZmRlJSEjQ4hu1bt2a3Llzh9jcvk1IHSUCNaqrq4mFhQVp27YtefToEflCzberg6KiIuLt7a1p/gNASktLDYrzl5SUkOXLl2soErdu3eKkJXTo0EGjrlBWVkbatm3LOv7x48ekoqKCfPLJJ+Szzz7j5K41bdqUpKamkkePHhFra2ty9OhR1vGEqKgqqampZO3atWTlypXkwoULnO/hg06dOhF3d/d3qjt98eJFMnXqVNKzZ0/WMnRZWRlZsWIF+e677wxaf6tx8+ZN8vLlSzJu3DhO8fn09HSSl5dHtmzZwqrCwTAMGTp0KJk7dy5ZvXq1wXGXLl3SuH5p4cYNQpo0IeTbb4lSqdTbCNqzZ09y//59LapGy5YtSVhYGHn48CEv/dZ6/P9C+/btSV5eHnnx4gWVPFlJSQkpLCykotMoFApSUVFBZYbRqFEjUlFRQS5dukTVrFxQUEAkFRXk0wULCOGQw2vdujUpKioiFy9e5DwuIap5OD8/n2psw4YNSWlpKdWxS0pKyJMnT8iVK1dIMxbzC4ZhiLe3Nxk3bhy5ePEiuXTpEiksLCRRUVHE3t6eDBgwgLx8+ZKEh4eTEydOkBkzZpCuXbuSixcvkgsXLlB5C7Rr146cPXuWtGnThri5uZFBgwZR00nc3NzI3r17ye7du6kd+YyNjUlYWBiJjo7m1WQ3e/ZssnDhQl40mtGjR3MqU9SFiYkJtX27Gh06dOCltkGIShGEU/nqxg3Vf1/HAidOnCDm5ubUn3H79m3y6aefUsvK5eXlkZKSEmofiLi4OOLq6sp6D6tRU1ND9u3bRyUXywp9EfU/9eddZJ7fBaRSKc6cOYO+ffuCEIKvv/4ax44dA6AqNTg4OGDs2LF49uyZznsZhsGAAQNw4sQJrdfrlv1HjRqFjR06AC1aALVKTWoMHDhQUyaKi4szuAvcvHmzVrkiLy8PAwcONPi3LV++XOvfS5YsYaVhxMXF4fDhw5p/T5kyBVeuXDE4HgCCg4MRFxcHAFi6dKnW+w3Bzc0NR44cwcOHD9G/f3/O8WlpaRCLxQBUZWAjIyNe1Im/GnK5HK6urmjYsKHmXtKHzMxMCIVCZGRkcGaKUlNTIRaLUVRUxJk5u379OsRiMZ4/f855roGBgZwZHoZhYG1tjUePHun+0sYG6N4dVVVVsLW1NXiMmJgYrFmzRue4hYWF8PLywtKlS3XeU1paigkTJiA0NBQpKSk6dKi/E6Q+80yNkSNHYuPGjXB0dOTMpF24cAECgQDW1tac9BuGYfDNN99oKG9ciIiIwKeffko1trKyEq6NG6sydBTUg99//x1+fn5Ux96wYQPef/99KnrR+fPn0a1bN+zYsYNzbEREBBYvXoxu3bqxjgsMDERoaChiY2PRokULdO/eHf369cOmTZsMVsnu3LmDRYsW4dtvv6XK3AOAh4cHdu/ejcDAQNjb2yMqKorqfWqo50dayg8A3Lt3DxKJhFeme8WKFVi9ejX1eIZhYGJiglevXlG/58mTJ5zUiLrYtWsXIiMjeb1n4sSJuHbtGvughQtV93VpKRiG0aytfD7j7Nmz1OMnT55MnUFXKBQQCoWoqKigGh8dHY1Vq1ZRn4uheftvn1z5/PxTgmc1Hj16hMzMTOTl5eH58+daE9uJEydgYmKC4OBgVFZWoqamRvO70tJSCIVCvcG1GkeOHEHwv/6lukR6+FG1S5Tz5883eKPVnWz37t2LiIgIg59bl480ePBgLd5SXdTluI4YMULDgTWEtLQ0DfeM9mHfvXu35twsLS05OWAKhUKrLJOXlweBQMD6t/xdePDgAczMzBAVFaWzqaqN9PR0iEQiKp7WuXPnYGJiQhUM37t3D0KhEPn5+Zxj9+zZg6FDh3Iu4ocOHTJckv70U8DTE7du3cK4ceMMHqOyshJisVjvZymVSvj5+SEgIEDn9/fu3cNHH32Etm3bUpf9/grUB8/0uHDhArKyslBWVgYjIyPWsj/DMNiyZQumTJlC1W+xadMm2NnZUQVYBQUFEIlE1PSsoUKhas6mKGlPmDCBOtDZvn07vLy8qMZGRUVh8uTJKCkpYR3HMAyMjY1RWVmJ2NhYg+M2b96M4cOHY+HChRCJRPjxxx+puNoMw2DatGkghOD333+nCqD37t2LsrIyMAwDuVyOyZMnY8yYMbwC2ytXrsDY2JiaJwyoNiczZsygHi+TySASiXh9xvr163XoLlwwNP8ZwokTJ1h7pfTBzc1NZx3Xgbs70KULAFWiZezYsdTHr6mp0eqj4kJpaSlMTU2px+/YsQMLFiygGqtQKCASiQzy0/WhPnj+G6BUKrF161YIBAJYWFggOTlZ87v09HTY29sbJM8rlUpMMTNTXSIOTpa+pitDmD59OtLS0qj/Bj43MaB6EGkCNjVSU1OpmgBrn0N0dDQ3Rwu6G4e7d+9CJBLxOr93gf3798PX1xeDBw/WcMPV5xcdHQ2JRMLZQHLo0CGYm5tzT3IAzpw5A1NTU87FE1BtAAUCgf4McR3cuHEDpqamnNlcuVwOIyMj/Z9fVga0aQOEhiI+Ph5Lly7VauKpCz8/P4MZC4ZhMH/+fIwZM0bnObpz5w7Wr1+Pvn37YvTo0XoDpWvXrqF3797o1q0bxo0bx+s+fxPUB8/0YBhGcz2ys7MhEolYeyPUfQJisZj1flKP3bFjB5YtW0Z1LitWrNDqGWHD2lWrIGveHBg9mnPsxo0bsXnzZqrjrl+/npqb6+vrS8WvvXTpkqavwNA6lJKSgj59+mgFr4bG6gPDMAgICMCkSZMgFotx8OBB1udM37E3bdoEa2trXv0lZ86cgaWlJXWQxDAMPDw8WJMXdZGQkIDJkydTj2dLBhjC8OHDqZoL1bh69Sp8fX2pxwOAmZkZ9zkZGQGOjgBU1eL9+/dTH3/37t1YsmQJ9fjFixdj+/btVGOVSiXEYjFn35QaO3fu5L25qA+e/0bcuXMHHTt2RMuWLXH69GnN66GhoQgNDTX4voAZMyB/7z1g/HjW41taWlLvzK2srKhL2QqFAubm5lRj1bC2tuaVJWBrdjSE0tJSne5lWqSlpcHMzIy6xPM2ePToEYKDg/H777+jZcuWWl37RUVFcHZ2xuzZszm/r/Xr16Nfv36sih5qnDx5EmZmZlSTSX5+PoRCIdXk/Pz5cwgEAr2dzHURHR3NHpjI5UBlJcLCwjB58mStppi6i+e9e/fg6enJ+nmrVq2Cp6enwe8xOTkZJiYmmD9/vs53WFxcDAsLC4hEIlhZWWHTpk1U3/OboD54fnOcOnUK9vb2nNnLkJAQbNq0ifN41dXVMDY2pvrsmzdvYsyYMVRjT506hQdffw306ME59sCBA1ixYgXVcWkasdWwsLCgmoNHjx7N2kT84MED3tlVQ2AYBiUlJZg5cybMzc2pGjZrIz09HQKBgJteUAsHDx5E3759qdcjdUWYNkhnGAZ9+vShaoZUY8KECTh37hznOLU6UVxcHFWiSI3c3Fx069aNunEOUAXPamRmZuqvzjIM8JpyYmdnRx2sqsfT0mikUikEAgE1zefAgQOYRdGgC/xRaeF7P9cHz38zGIZBZmYm4uPjNTeGUqmEg4ODwUxwbGwsdi9dCnDs9CUSCdU5KJVK6rGA6kEaOXIk9XgAvINthUJBzT+sjf79+1PRF/QhMTERjo6OvIJ8WpSWliI6OhpWVlZwd3dHQkICysrKcPv2ba3PFwqFnOosDMMgKCgII0eOpJpMkpKSYGFhQdXR/Pz5cxgZGVHRGuRyOWxtbakk2ioqKiAUCvVO3nU3baNGjdLhZl66dEmHgmRjY8NKcQJUi4yjo6PBwFepVCIuLg4CgQAbNmzQyk4qFAqUlJSgpKQEq1atgomJCXx8fJCenv5Os9H1wfPbYd26dZg4cSLrmKqqKggEAqoEgY+PD6vkmhpKpZI60C4oKMAYJyegFk3PEM6cOYN58+ZRHTckJATHjx/nHMcwDJVKSVVVlUYKTR9KSkogEomQlZUFQKUOcvXqVezfvx8xMTG8ss91UVBQAF9fX/Tp04dalg4Anj59CjMzM+zZs4f6PZs2bcKQIUOozzc1NVUj00mDGzduwMXFRe/vFAoFdu7cqfUaTTIAUK3p6enpyMvLg4eHB9W5AColpubNmyMpKYlqvFKp1ATPDMNAIpHgzp07BsdLpVKtYFuNhw8faq1xauTm5sLZ2VnvsRiG0akSbdiwgZVWWvf9EonEYDW27jU8evQopk+frncsGxe9Pnj+h+LZs2cQCAR4+fKlzgOempqKmTNnsr6fT3b4zp07GE1RTlRj79691HJHavANnt/0PQkJCZg/fz7v96mxefNmeHh4UGWpuCCTyZCQkID+/fvDysoK0dHRene3lZWVGDNmDLy9vTkbRxQKBUaNGoWgoCCqiTwxMRFWVlYoLy/nHFtWVgZTU1Nq+s7EiRMRHR1NNXbevHl6S26nT59W8TsdHYHXPM/ffvsNDRs21LrHCwoK0LZtW60JfM+ePVi0aBHnZyckJMDS0pI1K1JdXY0lS5ZALBaz8javXLkCX19fiMViLFu2jIouw4X64PntMX78eKxfv551gY+JidHbTFoX58+fp27Yc3V1pZLCUy/oNLhx4wbnZkCN2bNnU21e8/PzqYKtLVu2GAxSzp49CxsbG60MaX5+PiZOnIgWLVqgc+fOsLe3x/Tp07F582Zcvnz5jao1OTk5GDJkCFxdXfUGXvpQXV2NoUOHIjAwkDogDg8Ph5+fH3VAvGDBAp2KQFpammYjURc+Pj4GM+ndu3fXkbWztbXlTAb07NkTvXr10tASaM89IyMDDRo0wNSpU6nGFxYWapoSN23aBEKIbnZ/1izgdW/KqVOnEBgYqPXrgoICfP3113p7ZubNm4dDhw7pvK5QKDB9+nQdOpCRkZHeqjDDMIiJidH6Ho4fP25Q333v3r06AgFWVlY6zzDDMJg9ezZrBaY+eKYEHyL5u8KJEyfw+++/6/DqXrx4gYF2dsDw4YCeGxBQGWoMHjyY6nNiY2OpBf8B1Y3Pt7ymb1fKBXNzc96ZDHXDxptmBp89e4YuXbqgS5cub5SBZhgGGRkZGDduHEQiEYKDg1kz4ZcuXYJIJKLiilVWVsLZ2Zk6YE1ISICtrS0VFaWyshKWlpZa/Hs2bNq0ibo5pLCwEKampjrXct++fWjWrBmuJCaqppzX/DdjY2NIJBKtMiHDMGjRogXMzc01TbYymQxCoZCTywqosnkmJiaci9Pz58/h5+eHPn36sJaCq6ursW3bNtja2moUX2jOQx/qg+e3R0FBATp37gwrKyuDY9Sc+xcvXrDODwzDUOvGr169mpqHKZFIwMyerbnPDeHx48fUTYBTpkyhypInJSVRcTqtrKz0qmTk5+ejSZMmcHJy0jsnFxYW4ujRoygvL0d6ejo2bNiAyZMno0+fPpBIJHB0dMTMmTMRFxeHq1evUlUAbt++DVdXVwwZMoSqmsgwDMLDw+Hs7EytXhEQEKBpKnv06BFrY6lCoYC1tbXW911UVIQPPvhA77xZWFgIY2NjvfOCk5MTPvjgA63AmyYZMGvWLLi6uqK8vBze3t7U1JDKykp07NiRmnpy+fJlTWP3pk2b8Ntvv+kaTH3zDfDaGCYgIABnzpzR+rzff/8d7du313nWlEolhEKhTtW0srISjo6OsLOz03r90KFDeikYVVVVcHd31zFrs7a2xtOnT7VeYxgGYWFh6NSpk9b9e+HCBR3fAKVSiXHjxqF169asld3/2eD5zp07MDMz03KHs7Ozg5ubG4YOHYrRo0dj8uTJCAwMxMKFC/H999+jbdu2MDIywvz583Hs2DHk5OTofTDUsmmHDx+mKquHhobqXGxAtVt8//334eTkpHnt+vXrSE1NhZmJCdC+PTBkiN5jpqSkYM6cOazd0mqMGTMGt2/fRmpqKmvmRg1XV1cUFxfzCrh/++03Xg5sGzZsgLu7OxUnqqysTKs7fdy4cThz5ozBxW/Pnj3YvHmzwQU0Ly8Pbm5umu9u4MCBsLCwgLu7O/z8/BASEoLY2FgcPXoU165dQ2FhoeY+2LdvH1xcXJCWlkYljzVjxgwqNQtAFQAmJCRQjWUYBgsWLKDe9F28eFFvJsAQli5dyhlcZGZmYsGCBbh8+bIOFUUul6Nfv3746KOPoNi4UTXlvDY42bRpk97N1t69e3VcvPbs2YOMjAwt1RVDuHz5sk651BCysrIwcuRIqgDq4cOHmD179htXK+qDZzoolUpYWVlh2LBhWL58OZKTkzVNvkqlEqtXr0arVq00XPm4uDhs375d6zmMjIzE999/rxN0VFRUaPWZBAcHY+/evQY3ntu3b8ezZ89w584dVqdVQEV12L17N4YMGYIqiQT4179UXFED2Lhxo163On0YMmQIlSnF0qVLkZCQgJiYGIObvPPnz2tlp0+ePKlpyg0MDIRQKNRrxpKZmYmFCxeyNqSVlZUhNTUV0dHR8PPzg7W1NbVEWUZGBsaPH0+dEElKSsKBAwewadMmTg4uwzBYvHgxpFIpGIZBr169MHjwYIMye0+ePNHZLAmFQnz66ad65/GdO3fqDVgTEhIgFou1qHQymYxzvVYqlTAxMQGgul5csqS10b17dy11Lzbk5OQgJSUFgIoapLPu5OSo5uzX0qRbt27VObaNjY3eHpeXL1/qbbQ9efIkmjRpopPdj4+P1xsHhIeHgxCidW5SqVTvd5iVlYX27dvrUGOSkpJ0RBVevHiBf//733B1ddU5Tm38zwbPdcEwDKqqqvDixQvk5eXh/v37uHr1Ki5cuIATJ07Ax8cHlpaWmDRpEsLCwrBo0SIMGzYM5ubmkEgkcHBwwOTJkxEZGYnjx4/D2dkZI0eOhEgkwuTJk1k5pDdu3IBQKNS7i8zNzYWxsbFGoSAnJwfOzs6QSCR4YWenCqDrLPBSqRTz58/HqlWrODO+Z8+exa+//oq8vDwsXbqUU9Lp0qVLmuwNLa3i2bNn+PXXX6lLRoBqh92vXz/s2rWLcyzDMOjfv7/mYZ8yZQpatWplsIlNKpUiICAADg4OrBJ1tR8qpVKJ4uJi3Lx5E8ePH8eWLVsQGhqKyZMnw9PTE5aWljAzM4OpqSkIIfjPf/6DtWvX8mrQ+P8CmUzGanOtpqE0atTIoOOWOiuTn5+vomx8+qmGwy+TyQw2fnp6euqUctUl8R49erBqYf9TUR8800OpVCInJwfx8fGYN28enJ2dYWpqij59+mD69OlYvnw5li9fDplMhtu3b8PX1xcODg6azOXOnTvRqFEjbNu2TefY06ZN0+jZh4SEoEWLFga16Y8fP47x48cjJycH//nPf7Bv3z6D56xQKCAQCDBr1iwcdXZWLa8sVQ1fX1/07t2bM0v48uVLWFtbczYtPnjwAA4ODjh//rzB9UAqlaJJkybw8PCAUqnE7du3NcGdUqnEzp07tTan9+7dw/z582FiYoIhQ4bg0KFDf+pcd/fuXd7N3Lt370b79u2xaNEi6vdu2bIFhBBs2LCB+nNOnDgBFxcXpKam8jq/bdu2ISQkhNd7AFXW+k2UoSwtLd+oOmZtba1L+wsNVd3HBtS8zp49y0u2DlBZiO/cuVNvIlEf+vfvj9WrV1NRg3bu3Ilp06ZReTocO3YMY8eO5dx41QfPlODa9b569QpXrlzBjh07MHPmTBBC0KpVK0yZMgVJSUkYMWIETExMEB4errd0nJOTA6FQqHeyrqmp0XqPSCRCo0aNsM7eXnWp6gQMDMOgTZs2MDIy4gxwo6OjQQjBmTNnMH/+fE46xooVK0AIQUpKCnXwPGXKFDRq1Ii1pFoXN2/eRIsWLfDbb79RjVerPpSWluLcuXNo1KgRZxb96tWrMDY2RmRk5Fs1utTG/fv3sWjRIhw/fpzVSvufBoZhcO/ePdbv4f79+5g8eTI+/fRT1oWisLAQv//+O6s5xZAhQ1TcyVevgGbNtJRjHj9+jCEGKioXL17Ua/195coVtGnTBv7+/qzn9U9EffD89qioqEBaWhrWrVsHX19fWFhYoEePHmjWrBk8PDxgZGSE0NBQyOVy7Nq1C9OmTdM5hlKpRP/+/REfH4979+6hVatWrDSmPn364MSJE2jatCmn5JaPjw++/fZb9PriC6BhQxVf1ABcXV3RoEEDzkrQnTt30KBBAwgEAtZx6enpIIRg6NChBoO1p0+folGjRkhJSUFhYSGEQqFOYuH27duYN28ejI2NMWzYMCQmJlJnMt8Wjx8/RpcuXeDt7Y309HSq9zAMA6FQiK5du1IHm1KpFEePHoVQKOQVoBYWFkIkEvEyX5LL5RAIBLwpoeHh4aybNUMwNzfnTWcsLy+HtbW17i9++41VOaZPnz68vBOuXr2Kfv36UY/fvXs3tRxgSUkJhEIh1fespn3SrN31wfOfgJcvXyI/P1/nRq2qqsL27dthb28PJycn7N69G1KpVLMbKiwshImJiZZsnT5ER0ejV69eWLNsGdCqFaAnmPj999+xZ88ezgD3wIEDsLe3BwD4+/tzTkzx8fGaxhfa4Hn//v348ccfqbq9a6NLly4YNmwY9fikpCRN0LVo0SKqTIBMJsPChQthbW1tsPHj/zNqampYF7gHDx5g2LBh+OSTTzjLv+vXr0ejRo1YuZOFhYUwMjLClStXDOpJnz179o/gOC8PGDAAqEXr4NL4trS01JuVy83NxdixYw2e3549e9C1a1eMGTMGly9fNnj8vxr1wfOfg3379iE4OBibNm3C+fPnsXr1ahgbG+PixYsGuaJVVVUwNzdHRkYGtm/frqW/XheXL1/GwIED4e/vz+kql5SUhH79+qkqKiYmwPffGxy7a9cuNGzYkHMBZxgG7du3x4QJE1jHFRQU4IMPPoCnp6dB+cnr169j6dKlqKyshEQiweXLl5GUlIRly5Zh9uzZEIvFGD58OI4dO/bWakS5ubk4d+4c70zy3r170bhxY0yfPp06CMzJydEYQ/Fp7r1w4QKsra15bQ62bdumd1PGhnXr1vFytQNUgeZ4DplafXiTBvxDhw7pbriUSmDCBMCAscuFCxd4qXEpFApIJBLk5uZSjS8uLoZQKKRuRh0+fDi1TveyZcuoDWvqg+e/Cfn5+QgNDYVYLEbr1q0RFhYGhmFQWloKKysrVu3O0tJS/Pbbb6oS9fjxgJ5AY+HChVAoFLCysmLlXWdkZGjK4H5+fpwi+levXtU0BtA+jMXFxVi8eDEvOTxARd3gK4nn5+enKTHyEc+/e/cuzM3NOc05/j8gLy8PgwcP1ph8GMomS6VSzJ07Fx06dGDVxKypqcGECRMwatQoLRfIuqgdOBuCXC6HWCxmzQLv3r1bx367NtQle31gGAYTJ07E3Llz9S6wK1asQLNmzTBp0iSDk295eTlWr16N/fv34+bNm3+6lXd98PzX4cmTJ3B1dYWfn59BBZqioiIIhUI8fPiQM/s4YMAAnD9/nrNiJ5PJYGRkpOKAxsQAbm6Agfvv8ePH+Pe//03199ja2nJuepVKJZYvX84qq1dWVgaFQgFXV1fs2bMH48ePByEEXbp0wfHjx6n1dWmgVCoxfPhwNGzYEP369eN17MuXL2PhwoVwdXXlpSmcnp4OIyMjKmUUNbZu3Yrhw4dTB+oMw8DV1ZUXfUOtX8xnQ1Kb98wHbxI8jxs3jqohtTZq06RosGbNGlZfi7oYOHCghqLJhVOnTlE337I1eOpDffD8N+Ps2bMYPnw4XFxcEBERAaVSierqajg7O7M25Lm7u7M2C6j5Z66urqyOcrUnhpEjR3JmX2vfWHwexvLycjg6OlJpDavx+PFjXqUcQKWCIBaLkZeXx+t9gOpvW7FiBczMzHDr1q13RuV4F5DL5SgqKsLDhw9x69YtgxuDrKwsDBkyBJ988gkmTpxocOJPSUmBSCRCbGwsHjx4YHBcbm4uzMzMtCzN9UEdOHNNtBEREX80hJSWAno4aMuWLcPBgwcNHkOhUEAoFBoMatWNmP7+/nr/rmvXrmH79u0QCAQGOdmpqano2LEjmjZtystd7E1QHzz/9YiPj4dAIMDBgwdRU1OjE8Ddv38fRkZGnMYJWVlZOuoAhuDl5UXl8MdHP3r58uVULofHjh3TkRKri6lTpyIiIgKPHj3C+fPncenSJdy8efNPSSaoA2gbGxu4urpqGSLRIDk5GUKhkFdgd/XqVQiFQl5rw+zZsxEWFkY9/k3oG8uWLePdbPwmvOc3CZ7FYrHuOpiaatBjIiMjA97e3tTHLygogFgspt48HDhwgNopsaqqihf9ZtiwYdRBOVAfPP9jIZfLMWzYMIM7skOHDv2hZ8wwgIGGRG9vbyqLZQAYNGgQNVkf4P8wTpw4kZcTFKAq0fMJuAFVcGRra/vGwW92djZsbW0xdOhQREVFvdEx3iXU8ncdOnQAIQQTJ07Uac559OgRhg8fDkdHR1y6dAk5OTl6A8eSkhL4+Phg8ODBnJn5xMREiEQiTq1V2sC5sLAQYrH4j0AlIkI11dTp4LeysmLNXgMq90C2jBvDMJgzZw4mT55scGPw8uVLjB49GgMGDNDbKZ+ZmYmgoCCMGDEC1tbWSExM/FOsuuuD53cPhmFQWVnJer1evXqF8ePHQyKRYPTo0TpjU1JSYGtry1m69/X1pdpgHT58GMHBwX+8cPu2TrO3GrRVurCwMM4mbwAYO3Ys6/MZGRnJSf/QB3Wj/fPnz5Gbm0ulJ6+GUqmEVCrFzZs30bdvX4wcOZJaeQhQVW/V+vm0z+WtW7cgEAioM6NKpRIDBgygdnEEVEosfOgb5eXlEIlEvNarIUOG8OY9116vKyoqODnJDx8+xMCBA7VfvHJFNWcbcDfs27cvL/qjp6cndaZezV2mvcf8/f2prevT09N5mc4A9cHzPxoMw2Dq1KmYNm2azm5ZS8940SKgUSNAj7rExIkTWZURasPFxYWXRSXf4HnlypW8H/g1a9a8kQRYaGgouxU0B8rLy/HNN9+gcePGf3rm0RAyMzMxb948GBkZYdSoUfDz89NZKJ88eYLRo0ejT58+rM6EDMNg586dEAqFnC5TCoUCAQEBGDhwIOdEVVBQQBU4A8DQoUP/kKdiGODHH6Ho0UNr0cjOzkarVq20GmSlUqmObmtFRQWMjIw4F80FCxZg3LhxrOPS0tIgFouxevVqg1m2goIC+Pv7QywWY9OmTe+0Uao+eH63UCgUuHz5Mrp3744GDRrg559/xsXXMoh1IZVK4eTkBEKI3qa/rVu3wsvLi/X+efbsGUxNTTnvRalU+ke5/exZ1TJrwBXPxcWFKmM2d+5czmyZUqlk1b4/cuQI+vXr90YZ5tLSUowfPx4NGzZEo0aNEBkZ+UZVP0AlxWlmZoaAgABqSoZcLsf06dMxdOhQag7s/fv3IRAIqGXeqqqqIJFIqLPcNPSNEydOaDWwBQUFsfLra0OpVOLDDz/U0SfmQu31OiAggJNqFBkZqVtxHDkSaN4cCj388StXrmDo0KHU53Ps2DFetEwvLy/qtfj69etwcHCg2lSpHZb53rf1wfP/AwQGBqJt27Y6wdGECRNUD2hWluqS6eGBzpkzh1pf2dbWlpfcEN/g+fDhw7xKYICKf6huaOQDpVIJGxsbqjKpIdTU1OD48eOYN28e7+w3LdatW4e4uDjcuHEDMpkMeXl5CAsLg6mpKQYNGoTExERNSav2RFBQUIAJEybAyspKS5xeHx49egQnJyfMmDGDc4EpKCiAjY0N1q5dyznx8Amcz507p62g8Tp42CgUao1bvnw5CCFaSikMw+i12J4xYwaVNF1oaChGjhzJmtmRyWQIDQ3lXCRfvXqFZcuWQSAQICws7J3cF/XB89tBoVDg0qVLCAsLg4ODA0xMTDBhwgT4+vpiwYIFVCX0oqIibN++XW9TWXBwMIKCglircnPnzqWS1Rw4cKAqM6dQAJ99BhiYQ/39/akyclOnTuWs0qSmpup1XHv27BmuXbsGExMT3s17dXHt2jWMHTsW0dHR8PDwgFgsho+PD3bs2MFpTFQbDMNg7969EAqFWL58OfV6pNZNpqV/5OTkQCAQUDsY5ufnQyAQ6GTGDd0TXPSNLVu2oH///po5tqSkBCYmJlTBXnZ2Nggh+Oabb6jOXQ31ep2VlYWmTZtyegY4OztrX7tXr4BWrVDi4IC4uDid8S4uLrw2JEKhkJVSWhtHjhzh1FNXQ92AaKi6oFQqtWgisbGxGqOcuqjtplkX9cGzHjAMg4qKCjx9+hR37txBamqqJrsXEhLCqUjBMMw7Le8eP34cvXv3Ro8ePbSyA5cvX/7DVtvSUqWVW4e7t3TpUoO8zrrgK2XDN3i+e/cupyapPtjb2/Nq/lPj8ePHEIvFvMxZ3jWqq6vx4MEDJCcnY9OmTZg/fz58fHxga2sLiUSCL774As2aNYNQKIRAIICLiwt2795tUFanqKgIU6dOhZmZGY4fP856veRyOZYtWwaJRMKqM67G6dOnIRAIWC1J1VAHzjQ0HH1NgnJ3d5Q3agRPR0etsenp6WjTpo3OJGxiYgJzc3OtxejJkyfUfNMVK1Zg2LBhnNm1R48eoW/fvpg8eTJr1l0mk2HLli0Qi8W8jG70oT545ge5XI6MjAwsWbIE9vb2MDU1xcSJE3HgwAGtxfhdzcFyuRwSiQTffvutwYrDq1evIBQKObmb8fHxWLx4seofQUGqpVaP8kdsbCxVxW306NEGFTTUmDZtmt4gYNKkSfj44495841pwDAM7ty5g9WrV8PFxQXGxsYYN24c9u/fTxUwyeVyREVFQSAQIC4ujorSkJOTA1NTU+zYsYPqHB8/fgyhUKiZw7iqSVevXoVEItGam7du3Yrp06frnVfY6BtnzpwBIQRBQUGa16ZOnUqVDLh9+zZEIhF+++03Xrxn9Xp96NAhfPzxx9hjoOoBqOY3HXWsqCiAEFi2bq2zsbt27RoGDRpk8HjPnz/XMjILDAzUG4DXhjqJUVZWppGhNYRjx45pkisrVqwwWHV+/vw5RowYoble6mPX3eQwDIP58+ezZsb/Z4Pn7OxsDBkyBE5OTjAzM9P6MTc3h729PQYOHIixY8ciICAAP/30Ezp16gRzc3NMnjwZwcHBWLJkCZYvX441a9Zg/fr12Lx5M3bs2IGYmBh89tlnGDBgAE6ePMk5iZ84cYLzIWAYBsePH8eZM2eQnZ2teU0sFqt25/v3qy5bHfejefPmUbuqGRsb88oS/P7779Rjy8rKkJmZCVtbW6rxN2/e1HxvmzZtYlVfkMvlegM+uVwOW1tbtGjRQisQunbtGrWtKaB6GPfu3WuQR1wb6enpcHJygkQigZmZGWxsbODj44P58+cjNjYWJ0+exIMHDzQPq729PSwtLREbG8tZqrxw4QJMTU2pubeDBg3CypUrqcqxGRkZ6NevH3UmYMiQIdT89SNHjmDlypV/vFBZCVnbtohq2lTHjpZhGHz22Wc6x5g6dSq6dOmi4wY1YcIE3Llzh+pcIiMjqWShGIbBvn37YGpqyrmgMgyDo0ePwsbGhsrNUx/qg2c6KBQKODo6QiKRYPLkyUhISGClmZ0+fRohISHYsWMH0tLSUFhYaPC5YRgGu3bt0hv8KpVKREdHo127dti8eTMAFXe27vO6cuVKjBgxQkdySy6Xa+RI1RQAAMDTp0CTJkCdhEJmZiZOnz7NKteohoeHB9LS0gz+Xm01rg4+79y5A6VSibKyMrRp0wYDBw40mJjIycnh5MWWlJTgwoULiImJ0QqO6kKpVOLatWtYtmyZpjpAo9dcUVGB4OBg9O3bl2rOk0qlGDNmDPWal5+fDxsbG9TU1CAqKgqrVq1inS8PHDig1YdUWlqKJk2a6DUSYRgGXl5eetf2x48fw9nZWcusJz8/n1q7ePr06QgMDGS99nWhbrS7cOECpk+fzrohefDggQ6NSWlhgey2bdGieXOdisD8+fP1uk8CKufATz75RLOpqaysxMCBAw1ez8LCQri4uGgay9euXWuQ119eXg4fHx+NI6dMJkP//v31XsO0tDR8/vnn8PPz07y2efNmxMfH64wNCQkBIUTv79T4nw2eq6urkZeXh1evXlE9lHfv3sX169dx8eJFjTTRsWPHkJCQgL1792L79u3YtGkToqOjsXTpUrRv3x5du3bFTz/9BKFQCAcHB8yePRv79+/Ho0ePtD7z6NGjMDIyQlhYGGeZSp1NlUqlkMvl8Pb2VmmHKpXADz8AdYLT7t27Y/Xq1VR/Y/fu3XWsMdnQoUMHap7c7du34ePjAzMzM6pS3OzZszUcsDt37uCnn34y2LRRXV0NKysrvdy/W7du4ZtvvtHKRty9exe2traYMWMGVfNBamoqVq5ciWHDhsHU1FTjNBkXF4fbt29rfQevXr3iJaHEV1SfTzaND4eRb7WExno8OTkZdnZ2evU7o0JCsHHJEp2Fm2EYWFhY6IwvLy9HUFCQ3kWRYRgYGxtj4MCBOsE13/OuDb4c0DfVv60PnunBh15QWFiIpKQkrFu3Dv7+/vDw8NAkSGxsbDBy5EgsWrQI27dvx7lz52BjY4MffvgBW7Zs0RtYFBQUYOHChWAYRsPPrU3bWb16NQghOuoXNTU1EIlEKCkpQWVlJezs7LB06VLVL0eMAD74AKiVzVRTQFxdXVmNHRiGgaWlJasUV1BQEAYOHKixn1Zzn/fv34+jR48afN/169fx888/49q1a2AYBo8fP8axY8ewYsUKjBo1ChYWFjA1NUW/fv3g7++PLVu2UFW31JDL5bwognyl8u7evYsZM2ZQNcCr54SysjK0a9cOvXr1Yn1f3TlkzJgxvBQj1ODj0lsXq1ateiOjFEDlgUDTZFoX1WVlcPnlF14a+TKZDBKJBB988AHV9a6srMRvv/2GVq1aUVHigoKCQAih+ntWr16Ndu3aISMjg3Osn58fhgwZotNrUxv/s8Hznwl9E0NpaSlOnz6N8PBwDB48GCYmJrCyssKUKVPg6emJSZMmYdmyZRAKhdi1axfrIr9161ZMmTIFgKqLukGDBqrJPjtbq3ubYRh07doVnTt35lx0tm7dio4dO1K7AO7evRstW7akbspjGAb//ve/0bFjR+2OcwN4+fKlRibn8uXLaNKkCetnlZSUwMjISK/9ZmlpqSZjVPt89u7dqykL8gmqpFIpLl++jOjoaIwZM0azII8ePRoBAQFwdnam5tL9tyIsLAyEEN1rXV2NV2VlBkvchoJnQLUxEYlEehfSCxcugBDCSgu6f//+n1KiflvUB89/Paqrq5GZmakVXH/wwQcghKBr167o3bs3EhISWOeFU6dOaQXQDMNg3Lhxekv1R48eha+vL6RSKbp164Yeane2Z8+AOtWe69evw8TEBO+99x4rjzo5ORkdO3YE23f51VdfoVevXpDL5bh48aLGXIPt74qOjkbHjh3RsGFDmJqaQiKRYPDgwVi0aJHGffFtjVL4QKFQYN++fbype2PHjkXTpk05DWxqY/bs2ejduzcVdU0NuVyOmJgYzJ49m9f5ASrnSUPNrGyIj49HREQE7/cBgJ2dHb9eDYYBqqsREhLCKp+rD8nJyXBxceF0+1UjIyMDFhYWVJ9TWlqqkVvlSnQUFBRAKBQiNzeXc61PS0uDm5sb5+fXB89/I6qrq3Hx4kX06NEDn376KczNzXH27FnMnj0b5ubmrOoJHh4eOHXqFKqrq/Hzzz9rPwxSqeqGBzB48GB06tSJ81yuX78OQgi1vuiDBw9ACOGVqR4xYgQ+/PBDTs1gNYKDg7H9NQ1l6dKlf0jzGUBeXh4EAgGvrtmqqioEBQXBwsLirVznFAoFbt++DS8vL7Rr1w7dunXjHZT/f4BSqcSVK1cQFhZmULUjKysLQqEQI0eO1M2sT52KJ507Y0+tcmVtsAXPgKr5z9DEeurUKTg6Ohrk8kmlUvTu3Rs//PADZzXmr7xu9cHznwuaa6lW6FDzJktKSjBjxgyYm5uzOr4mJyfD3Nxck6FSZ3X1wdnZGdevX8f169d1A16GUc3br4/Rq1cvNG3alLUZ8OXLl2jYsCF+++03g2O6du2qKafTKCzs3bsXv/zyC5YuXYqpU6fyyib/mTh27BiaNGkCS0tL6vm9tLQUEokEEomEmo4olUrx7NkzCIVC6uY3QHXN+vbtS20drsbNmzcxePBgXu8BgEuXLvF2MwT+4O/zwoEDUHz0EQb16sVLTu/JkycQCoXUldi8vDwIhUKqTZJSqUTfvn1x8uRJqrF2dnZUm5SamhpqM5364PlvBsMwem/IJ0+ewMvLC+7u7npL0SUlJRAIBHj58iUePHjwB6/q1i3g44+BQ4cAqILiTz/9lPM8lEolrKyseD1YP//8s651JwsOHjwIGxsb6l197UyjUqnknPgBFU1DLBbzktwDVGYg7u7u8PHxeaPmRDX+yozM34EpU6aAEIKBAwfqvW+vXbsGoVCIrKws3aClqAjKli1xvFMnVu4pW/BcVVUFgUBgkIuslh4zlLF7+vQpvv76axgbG+utUqixceNGmJiYYNKkSX96w2l98PxuUV1djVWrVsHLywvOzs68XOXqIj8/H2PGjIG9vb3BzfXJkydhYWHBWuIFVH02VlZWYBhGm0splQK//ALMmKF5adKkSXB0dOQ8Zp8+fVjn7NoUEmNjY1b6w4YNG+Ds7MxKFXkXOHXqFHbs2IHr16/zoq2FhITg22+/hb+/P7VUpFQqxaVLl3gHwzk5ORAKhbzuHbXCBq1knho2Njasjqv68OzZMwwYMIDXewBVT466ak0FhgF69kRR69ZISU6mfptMJoOFhQX15quiogImJibUsrqBgYFYvnw51djFixf/QZPiQFBQEKdjpxr1wfM/HFevXoWNjQ0mT56MkpISrc7qEydO6Ha41tQA//qXiv/8eqK0s7PjbPwAVGVtS0tL6gDw5MmTvHQdKyoqYGpqyou3uGTJEh3KBRdSUlJgZWX1RrbKp06dglgsRkREBORyOefi9d+A+/fvY/jw4bCyssLMmTP1LkxFRUUYNmwYBg0ahAkTJui9R86ePQuxWGxYeWL0aCgaNEA6S2MdV/AMqLhrbA2kUqkUffv2Ndg09PTpUzx8+BDW1tYIDQ01WPJbtWoVmjVrBnd3d7287XeF+uD53UFNx/rss8/w7bff4oke7fs3QXZ2NgYNGgR3d3ckJibqZIRPnDhBFUAHBgZqqmla8PAAmjcHXt9nKSkpGDt2LOd5ZWZmwszMjGqcobmaYRiEhITA29v7ndpwG0J1dTX69u0LQgjc3d2pewsYhsGLFy8QGxsLExMTXtS4nJwciEQiXtbZV69ehbGxMa8eFrW1OR/Ex8drqW7QQKlUvhFfesmSJZwSdVrYtg0gBGt69eL1ORMnTqT2Z1AqlXBzc8Phw4epxu/duxdDhw6lqiilpaXB0dGRKmN+584d2NjYUFcd64Pn/wdgGAaHDh3Cb7/9hk8++USjtgGoblIdaR618sZrrldsbCzWr19P9VkjRoygVqJQi4vzga2tLa/JqKKigkoCqi727t0Ld3f3N3IZlMvlWLVqFYyMjNC7d2+8ePGC9zH+bpSUlODu3bvIzMxEdna23mySUqlEYmIi7O3t0aFDB0ybNk1nIVMoFFizZg2MjIw0etL6JpeEhARYWloazvjfvAmmYUMkfPGF3l9XVFSgoKCAKniuqamBQCBgzZDV1NTA2dlZf6DyGkqlEuHh4bC0tNR6pmojLS0NqampsLGxgZ+f31tVJQyhPnh+ezAMg6SkJJiammL27Nm4cuXKW8kHGsKNGzfw5Zdfol27djpl4OPHj8PS0pK1CbmyshICgUB3TG6uKnh2dwegeu7YjE1qgyZ4XrJkiV7lAKVSiUmTJmHGjBl/KVVJLpdj/PjxWLBgAUQiETZt2sQrcH/48CGsrKwQHh5OPcc/f/4cFhYWvNwCT506BWtra17NjYMGDeJlrKVQKPDLL7/wXuPqXneGYTjP08HBgb4qW1kJ5rPP8KBNG+TwcA3ctWsXL/OTgIAA6t6pmzdvQiKRUCXGSktLIRQKqSg76s0IH3fEf1TwTAhxJYTcJoQwhJCetO/7bw+eAdWDsWrVKlhZWeGnn37SZMKqq6thZGSkzQNjGMDUFHj/faCkBE+fPqUiwAOqSZZWFxpQ2cjymXSXLVvGqi+pD+Hh4dTBf22sWrUK48ePf+NFYenSpejQoQN69+7Ny3b278bjx48RGhoKQghatWqlI1dXVlaGiIgICIVCzJo1C0+ePNHb0JGRkQFTU1OEhYWxTuybNm2Ck5MTe7nS2xsVTZrg5mv+aF1Fghs3bmDq1KlUwTOgKjFzleJqamrg4uKiJQelD3fv3oWpqSkiIyNZ6SRJSUkwMTHBnDlz3qlpTn3w/HZITU2FtbX1W21uysvLDW4ya0MmkyExMRHBwcEYNmyYTkUiKSkJVlZWrPPFnj17MKMWRUODwEDV0vuaJuTt7U2VXaXJQJqbm2v9bTU1NaipqcHgwYPfyom1pqYGT548wZUrV3D06FFeQab6WSsvL8fSpUshFAoRFRVFfQyFQoHQ0FDY2tpSVVYBFe3Lzc2NtXJVF3v27DEofwboJhNevnzJqUtcGxUVFejWrRvrRl8fzM3NtTYOcXFxrJrfCoVCV7uZDbGxACGI5GFbfffuXZiYmFBXfePi4uDj40O1Rr948QJCoZCK884wDDw8PKg3MatWrdKSIKTBPy14/p4Q0pUQcvqfFDzL5XJMmTIF3t7eWLhwISdnVyqV/qncV6VSqbV7vHbtGmxtbbV34NeuAQ0aAK91bY2NjanKY/v27dPW5OXA4MGDeTXo3bt3D97e3tTjAdUGgY3nyoaZM2diyZIlbxz8KpVK3Lhx4x/ROHP//n1s3LgRaWlpWhOzTCbDqVOnMG3aNIjFYri7u2Pz5s2YMmWK1uJ+//59jBs3DqampoiNjTU4wT1//hw+Pj4YMGAAZ9lbrR7Ddb9fTk3FrD59AKh4dxq1gdeIj49Hq1atNNmh2tDn+CeXyyEUCjnL5DKZDK6urti6dSvrOLlcjvnz58PBwYH1b2YYBrt374ZQKMSyZcveiBpUF/XB85vhxo0b6Nu3L7y9vd+YVvPq1SucPXsWS5cuRZMmTUAIMajNS4tjx47BysrKYOMgwzCwtbXV5eCWlwOdOwP9+wNQmVkYcj6rDa7Mc35+PpydnbVeW7hwIYRCIXXztiEUFBRgzJgxaNy4Mdq2bYtp06Zh9+7dOnKsNKiursbq1ashEAiwYsUKau7w9evXIRaLqRu0FQoFxo8fjxkzZlBnrdeuXYuxY8fqPX5WVpZOwikpKYma0njjxg0QQnj5JgAq0QA1V7q4uBgdO3Zk7eO4dOkSJk6cyHrM2jGCtLoaw7t3p04UlJeXw8jIyKCzX11cuHAB1tbWVOu6QqGAnZ0dq+NfbcTExGDmzJlUY3Nzc2FiYqK38lFZWWkwbvpHBc+aD/+bgueKigpcuXIFW7duRWBgIFxcXCCRSGBubo4ePXqge/fu2LFjh97SdkFBAa5cuYLDhw9j5cqVeO+999CzZ09MnTqVd/Pam2DJkiUIDw/X3u1eu6ZR3ZgyZQoV3+vmzZu8OFuLFi2ickVSo7bWKB9w8VzZPm/QoEHo3r37/xv+slwuR05ODk6cOIF169ZhxowZcHV1hbGxMQgh+OqrrxAcHIzIyEg4OzvD1NQUs2bNwvnz53UmADU1w8HBAQMGDMD58+cNfvdqMwiRSMS5Y2cYBgEBAfDz82NfgCorgZcv0adPHzx8+BBlZWX46quvdBaKqKgodOrUCYcPH9YJnj09PfVmj7dv304leyiTyeDm5kYVKFy5cgVGRkbYunUrp3tjdHQ0BAIBYmJi3oorWh8880NWVhYGDhyI/v3785IeLCkpwcmTJxEaGooBAwbA1NQU9vb2CAwMxP79+zFu3DhephOGwDAMRowYAUKIwcX+9u3bcKzjrvn6F6q+FaiCSZpMoZmZGeu9GhkZqdU3kpubi5YtW6Jnz568TLHYkJmZicjISKSlpWHlypUaOVY7OzvMmTMHhw4dov6smpoaxMTEQCgUYsmSJVTztlQqxbRp0+Du7k5Fs2MYBmFhYRg0aJAmeON6hmfPnq1X8UmhUKBjx446AfTYsWOptJgPHTqE999/HyYmJlQaxGpMmzZNQx2aMWMGCCGsZlFLly41SFmRyWSYPn36HxuW/HyEhYVRV3wZhoGnpye1fvSjR48gFAqpN6lTp05lNeFRnwOg4i6bm5sbTOjk5+dr5g2GYeDo6Kg3QfPkyRN4enoa/Lz/2eC5uLgYkZGRmDBhAmxsbCCRSGBnZ4fJkycjOjoa586d07qwe/fuxZo1azB79myMGDECdnZ2Gn1fCwsLeHh4YMqUKVi6dCliYmLQvXt3TJo0CUlJSUhPT8eVK1dw8+ZN3L9/Hzk5OXjy5AmePXuGkpISbNy4EaGhoVSlJ4Zh9GZRy8rK0K1bN7i6umq9LpfLgZwcnDhyBPPmzeM8fkVFBfq8zhDSnMuBAweou17VQdbYsWM5HeHqTmRSqRQCgcDgd2QoA8gwDMLDw9GiRQuEhYUBUH1XfAwwsrOzqYP9wsJCpKSk4Pr163j06BFKSkpYP2v9+vVYuHAhfHx8NGonFhYWmirHjh07kJGRgefPn+P27dvo27cvxGIx3NzcsHHjRtZu8PXr10MkEmmoGVx/o5mZGUJCQqgyAWq+Itv3olAoUODujuoPPsD01zbyUqkU1tbWiI6O1hmrbvKsGzyvXbsWhBAdiTqlUgmxWIzc3FyqDHT//v2pnMfUC7GbmxtnCbmqqgphYWEQiURI5tGNXhv1wTMdpFIpRo8eDQcHBypZydu3b2PBggWaDWbfvn0xf/58HD58WC8f+tKlS6wuhLVRWlrKWm0pKCjA6NGjYWpqCoZh9NJBJk6ciOnTp+tk9uRyOZiXL4HCQri5uXGuC/b29qxZWjs7O62AcuHChdizZw9n1lUul1PPk1KpVK+aRVlZGZKTk7F48WKNTbezszNCQkI4qwVyuRxxcXEwMjKiysADKttrgUBArZCzfft22NraoqamBhcvXsTs2bMNPvMMw2DkyJF6G+HEYjG6dOmidV+p+3W4gnmFQgEfHx8kJiZiyJAhVOcNqBwt1dWN+Ph4zJw5k1W1w8nJSa+DbGFhIYyMjNCvXz/VC3v2gGneHKN+/pnz+r98+RI3b95EVFQUAgMDqc67vLwcYrHYoCNhbTx69Ah79uzh5FAnJydj27ZtkMvlMDY2Npj9PnToEL788ktNDLVz5069GeqMjAx8/PHHrMokf3nwTAg5QQi5pefHsdYYzuCZEOJDCLlECLn0+eefs36x+vDs2TPs3LmTWi7nyJEj2LVrF86ePYusrCzWyaq4uBiLFy9GcHAw5syZA39/f0yZMgUTJkzA6NGjMXz4cAwZMgQDBgyAi4sLvvrqKw0/1d3dHampqQZ3wWot47rNKjU1NRg9ejSaNGmileme6OQEZfPmkM2bB3Nzc9YH+cKFC5g7dy51E6CbmxuuXbsGHx8fzrGZmZkaA4tDhw4hKCiIddc5depULWk6uVwOJycnfPjhhzqTfmVlJWe56OHDhxg1ahSkUikOHz4MU1NTanH6adOmQSQSYeTIkTh06BArL/LOnTuYO3cuJk2aBG9vb7i4uMDS0lLL+t3MzAyWlpZwdXXFF198gQ4dOmD48OF6d7+18fTpU6SkpFBnOdPS0qhpBS9fvuRV+uYqzR0/fhyDvvoKTIMGUIwcqQluCwsL9WfcoLKPvXnzpk6l5t69ezAzM9O7aBUXF2u0S1euXMka+MtkMirHMTXu3LlDvWkqLS3lJYVVG/8rwfPbztkMw/AylLhx4waSkpKos1tBQUFwd3eHRCKBqakpXF1dMXPmTMTExODMmTPIz8/X3A/79u1D7969sWHDBtbn8f79+ygsLIREItEJ+BcvXqzXHW1leDhKO3cGrK2xbetWBAcHG+Ryv3r1Cl26dDEYNF2+fBk2Njaafw8cOJBa7WjixIkGFRDKyspw5MgR+Pv7w8LCAhYWFtRyYM+ePcPhw4fx6NEjqvFKpZJXRrasrAxnzpyh5k7XloL97bff8N133xnUa1YoFHo3XikpKZBIJDrJDNrN2LJly3Dw4EFedKHKykrNfDdq1ChOmTdDFfB9+/ahWbNmKmpbcTHw4YdgevRAMUvDrbqpvkuXLnj27BkKCws5A+2cnBx4eXnh6tWrnMmcmzdvok+fPti2bRuKi4sNzuvPnj3DoEGD0KJFC80zYiihdPnyZTRu3FjLkbO0tFTveh4XF4cPP/xQ0ySvD/+zmed/Eu7cuYO8vDxUVFTgyJEjmDJlCkxNTeHk5IQVK1bg1q1bmgeQYRgUFhbC1tYWEREROg/mhg0btDRub9++jbOdO0PZuDFE7dqxCqvL5XL89NNP6Nq1K6KiojjPe8WKFZg6dSq6dOlCJTNjZmaGkpIShIeHo1GjRqy6zcXFxRAKhVrBX3x8PBo1aqS3I/b+/fusmWk11A94Xl4e+vfvjzFjxlDRahiGwY0bN7BgwQKYmZnByckJ69ate+OOfplMhhcvXmDu3LkICAjA0aNH32kT2t+JvLw8dGrTBo+aNwfzxRcqLudrREREGGzgW716tU4jIfBHF7lIJDJ4rRISEkAIMchLBFSLzaZNm/RmX/5O/K8Ez7V//uw5+86dO1i5cuUb954wDIPnz58jLS0NW7ZswZw5c+Dp6akx3bC0tMR7770HY2Nj9OzZk1Mt4tmzZzA2NsbZs2c1r8nlcnh5eWH69OlaY6uqqrD0q68AQrDPwQGEEIOZ9sePH6Ndu3ZYsmSJ3t//9NNP+P777zV0PhplDgDYsmULRo4cqZmTCgoKsHv3bowfPx6mpqaws7PDwoULkZKS8k54/+8aWVlZ+PLLLzF37lxeGsq7du3CZ599Ri2bVhunTp1idThlQ2JiosFryIU3pUICqo2JtbU1Lly4oLrWHh5AkyYAR4/PoUOHQAjR3/iqB/v370fjxo2pDGFyc3PRpk0b/PTTT5zVkZycHHz++edUso4hISGYOHEiJ321qqoKIpEIubm5rM90ffD8D8bz58+xe/dujBo1CmKxGB4eHggPD4enpyeePHmCoKAguLq66gQUdXdS83x9IW3TBvdat0bA1Kmsnzl27Fi0atWK6kF+8uQJzMzMWLl9tbFt2zaEhYWhsLAQ7du3R0pKCuv4zZs361iebt++Xa/kEqDq9BUKhby0XY8ePQqhUIjNmzfzmnyePXuGjRs3wsXFBaamppg3bx6uXLmCixcvvjMe4T8d+uhDSqUSXl5euGxioppG6nCnzczMDGa+Tp48yeoieeTIEfj6+ur9HcMwWLRoEUQiEW7cuGHwGJGRkWjatCkGDx7MmoF7+PAh7t+//5fId9UHz+8OL168gEQiQcOGDalMld4UCQkJGDZsGBYvXox9+/ZhyZIlmgY8Qxm4ly9fwtzcXKtHRN2AWhdHExOR2bkzlG3a4D8dOhjMhMpkMrRo0UKnIVCNf//739iwYYPm3zTB8+XLl9GjRw98++23cHR01NDEIiIicPXqVV6Ut3eB+/fvY+/evbw3vcuWLQMhBKteN83TQC6Xo6ioCCYmJqzziCE4ODi8UQXq4cOHGDZsGO/3AW/WhK9GWFjYH2or+/ap5mwOeueLFy8gFouxbt06qkx5dXU1nJycYG1tzSkuwDAMfH19MXXqVBw9epR1bFlZGYyNjXH9+nXONffUqVNwdnamms+nTZtGpXzyjwqeCSF9CSFPCCE1hJBnhJBjNO/7bw2e6yI3Nxc+Pj4ghKBdu3aIiYnByZMnIRQKWcuZ5eXlmPnddwAhSBcKWT/jypUr+Pnnn6m1MC0sLGBpaUlVDq+pqYFQKIRCocDGjRs5eWkMw6BPnz46ck1syhm3bt2CSCTilRGurq7G3LlzYWVlxUt4Xw2pVIpjx47B19cXXbp0QceOHbF9+/b/OmtuQEUFGTVqFLp3767TgMcwDEaPHo2IZcsAGxugThYmKysLHiyyR/n5+ay/BwBXV1dWy+L8/HzWAJphGLi7u6NHjx6s/OeamhpYWFjg448/RkBAwBvphdOiPnh+N1AqlVi0aBF69uyps+n+K1BeXo7FixdDJBJh69ateoPM8vJy9OnTh6qRzM/ODoqWLfG8a1eksiQa+vXrBycnJ72/mz59ulbVkit4LiwsxLfffgtra2uYmJggPDz8b5/H1A2YDRs2xKhRo6ifRYVCgUOHDqFPnz6IZTFm0oenT59CIBDwonkBKuUr99da3XygVCqpqwJ1sXz5cr0bMC7cvHkTNjY2f3yf8+YBPXsCLNWasrIymJqa4sKFC1Sfoe6hio+P59x0MQyD8ePHUyXuampq0KdPHyp77vz8fAiFQqoKc0ZGBnWQ/Y8Knt/0538leAZUN2N1dbXWxWWjcaixZ88enPvlF1SPHKlR4NAHhmHw22+/UZH5ARV1Y8GCBdQT2rx583DgwAEwDENFU8jKyoKFhQWv4OX69eswMjLibXn64MED2NvbY/r06bxcENVQKpWIjIxEaGgoQkND3ygQ/yfj2bNn8PLyQsuWLXWUTxiGwaRJk/6wa1cqNaoBasyfPx+HXtvG6wPDMJx8+9zcXB1907p4+vQphEKhQQ5gWVkZKioq4Ovri5EjRxrksJeXl+PXX3/F77//jjVr1vxpGbf64PntUVxcDEdHR4SFhaG6upqX+klZWRlCQ0MxevRo+Pj4vJVMHaDiIS9cuBBGRkbYsWMHTp06pXXvVFdXw9nZmdOB7enTp5j7ww9QSiSoZkkGnD17FgKBQO/valMqiouLWfX+ZTIZrKysePGL/yrI5XI4ODigT58+8Pf352WBLZPJMGrUKMycOZP3OmJiYsJ7LRg8ePAbfYfq5lK+sLOz463oJZVKNc3WWmCh4FRUVMDS0pK6olNWVgZLS0vODDKgmvv9/PywaNEiqrFDhgzhlB8FVPeNlZUVa8JFDalUCiMjI+rEW33w/F8ChUKBoKAguLm56X2QGIaBvZ2dXjOMuggJCaHKjAAq6oaLiwv1eaoDfT5YtGgRFQe7NtSSY3xNExiGwZ49eyAQCLBv3z5d98b/QigUCuzZswexsbGIjIzU2ThJpVKEhobC2NgYp06d0quUMmvWLMzz9wdGjQL0lOYYhsHvv//OyUE1MzPjXOAWLlyoVYrWhydPnkAoFLLqngIqFR2xWGzwuSguLoZMJsPSpUthYmJCnXHhg/rg+e1w7tw5CASCN7o2L168wIIFC/D+++/jl19+eaeuhGVlZZg7dy4aN24MV1dXraYnmUyGQYMGcVIKIiIisDw8nPOz3N3dOUviN27cwIQJEwz+fvz48TqKNu8aJSUlGDx4MHr27Ak7OzteGxV10mjHjh0QCoW8eMlq1aX+/fvzCryPHDmCfv368do4P3z4UMfmmUY+r3///rwpf1VVVVSmUnUxY8aMPzZvc+dqjHkMobq6Gra2ttQGamr6FE2gzTAMJk6cSK2oEhAQgMWLF1ONnT59OrXc3qxZs6gtxYH64JkK5eXlquBg3jwsXbqUM6NZVFSEwsLCP9UoxRBOnToFoVCItWvX6lgOZ2Zmqh7q9HTA0REwkHHLy8vjFRBbWFjwMiEZNGgQr6ysTCaDWCzmvbBdvHgRxsbGb5RJevXqFX777Tc0adIESUlJvN///wVPnjzBihUr8Nlnn6Fly5ZYt26dVpl3//79EAqFWL9+vcEFZMGCBSp3wDFjVFOHHk76yZMnoe85vX37thaXcejQoZyqH+rmQS4OpDqA5rrXHj58CDMzM87Sbn5+PgYNGgQvL693ymuvD57fDEqlEkuWLIGjoyPvZ1yt/mNubo49e/YgPT39japNXMjOzsaSJUswaNAgBAQEaGXElUolRo0ahYULFxp8v0KhgImJCfIvXwYcHIAHD/SOi42N5QwSjh079kdlqA42btyIcePGUfxFbw+ZTIYpU6bg22+/hUgkwoIFC6gdAtUoLS3FuHHj4ObmxqvHJSEhAaamplRrSUVFBcrLyxEZGcnL+wBQKZWoM67FxcUICAjgfM/cuXNZ1R304ejRo1Ra97Vx9uxZuLm5qeb57dtVczZLL1RNTQ2cnJwMmv7Uhbo5lmYzyzAMpkyZwtrrUhuRkZHw9fWlytAfOHAAXl5eVGOvXLkCR0dHXpn/+uDZAKRSKc6cOYM5c+bA0tISH374IXr06MEqol9VVYWzZ89i1KhRGum5FStWcO5ar169itzc3HfGq7xy5QqaNWuGXr166Ui8BAYG4vTUqSr3QVdXVXldD2xtbal2y4CKusHHWjQjIwOjRo2iHg+ouLb9Xztv8X2fiYkJHj9+zKsrnGEYXL58GUuWLIGLiwsvM4Z/AhiG0ZgjnDt3TisDrw6YLS0t4eLigu3btyMpKUmr0eXatWuwtrbWq0NbG+Hh4arJbPVq1bQxeTIAXZ1usVisN3g+ffq0lhB9SEgIVZnv2LFjVJ3teXl5VAG0TCbDtGnTMGTIEM6NYEpKCsRiMSIiIt7KHEWN+uCZP168eIG+ffti8eLF1PMmwzA4c+YM+vXrBzc3t7eqIly/fh3JycnIy8t7q3mbYRhMmzYNM2bMMLhJv3jxIsba2QEdOgDffQfo2TTm5+dzJjxiY2P1ZtYyMjJgZWX1lyd7CgsLUVNTgwMHDsDFxQW2trbYvHkzr03MxYsXYWpqivDwcOpn8dq1axAIBJxeA+Xl5ejfvz8YhsHUqVOxYsUK6vMqLi6GsbExlEolQkNDYWJiwvmeHTt2sFZYa2pqdOZiPz8/Tsfj2nj16hUEAgGKi4uBtDSgeXNAKDTIc5bL5ejfv79BhaS6ePr0KYyMjKh02NX3Po3/BAAcPHgQLi4uVFWA7OxsiMViqiqDTCaDsbGx3soN27NdHzy/hlwuR1paGhYuXAhbW1uYm5tj1qxZSE5ORnV1NVJTU7UuGsMwyMrKQlxcHHx9fWFqagpra2vMmjULO3fuhI+Pj8Hd7YsXL5Ceno6tW7di3rx5+Pnnn0EIQdeuXakI8FxQKBQqnd1Bg3QaZ6qqqlQScMHBYNtxxsbGYu3atVSfx5e6AfwhW8cH48aNQ0JCAq/3AKpgp1OnTtQ6pPrwdzfNsIFhGOTn5+PEiROIiIjA6NGjYWFhgS5duqBVq1aYNm0arl69qhMw6wsSCwsLMWLECLi6uupULuoiMjIS3t7eUB48CDRsCNjZAXI5NmzYoNUMKpPJ8N5776FTp0463+P58+dBCMGePXsAQMd0JzExEQ8MZNvc3NyoFg51AE1DWUpMTIRIJOLU3JbL5VixYgXEYjGnagwX6oNnfkhNTYVAINCSfWODTCbDtm3bYGpqigkTJmjp+tKAYRg8ffoUycnJiIyMxKRJkyAUCkEIweeff46YmJi3CqBlMhl69eqF1q1bG6xq+vr6InXxYqBpU8DYGNCjYWxiYsIaAC9atEgrQFcqlRrKyz9BIej58+dYtWoVJBIJhg4diuTkZKrvVaFQYNWqVTAxMaF2iMzPz4epqSkOHjxocAzDMGjevDnCw8OhVCrh5ubGOr4uFixYgM2bN6N3797o2LEj599y7do1g/bZ5eXles1wxGIxr3tvxIgRqr6T7Gzggw+Ar74CDFx7pVKJIUOGICYmhurYatdALr1pQPXdzpgxA3PmzKE6dlpaGszNzVk9FtSorq6GiYmJQdUTmUymlUwKCgrSMe0C/qBdGcL/bPCsVCpx9epVLFu2DA4ODjA1NcXUqVORmJio162srKwMJ06cQHBwMOzt7WFiYgJvb29ER0fj5s2bOoH1s2fPcP78eWzatAmBgYEYMGCARiPUxcUFM2bMwPr163H69GlNRoDG2Y1hGOzatUu1c6RARUWFTsCSkJAAvwkT8MLDQ3Wp9dhev3r1Cubm5lSfAfCnbmzbto13MKveNdPyrtS4f/8+rK2t8f777//jtZQZhoFSqYRCoYBCoYBcLodMJkNNTQ2ePXuG0aNHY8mSJViyZAmGDRsGMzMzmJqawtPTE8HBwdi3bx/u3bsHmUyGPXv2YOHChZwBM6CqtCxevBjGxsY4ffo053lu2rQJAwcOhEIuB379FejRA8yrVwgMDETr1q217uVTp07BwsICW7Zs0ckOXb16Fb/88otGueP+/ftablIPHjxA+/bt9dqFP378GBKJBNXV1ZwLyOPHj6kD6KdPn8La2hqrV6/m3DQVFhbCy8sLgwYNemO+bH3wTAeGYbB06VLY29tT9TKUlpYiNDQUAoEAS5Ys4WyqKi0tRUZGBuLi4hAYGIj+/fvD1NQUEokEAwcORFBQEHbs2IGrV6/i1q1b2Lx58zvL1t64cQPOzs4YPny4wXMTCoXInDtXNWd7euo0fs+cOZN1QzF+/HitwObIkSNo2LAhr4xqXVRVVeHo0aPw8/PDzJkzcfPmTdy9exdZWVl49OiRxkn3xYsXKCsrQ2VlJWQyGedzdefOHUyfPh1CoRCzZs0yuIGuDbVaz+jRo/Hy5UtIpVLWtaKyshJubm5YtmyZwfP597//DQsLC1RXV6OqqgoSiYQ601tRUQGBQIA1a9Zg48aNnPdKVVWV3n6g58+fo3fv3hCJRFqvP3z4EAMHDqQ6F0CVudXMrX5+qkqGgYoqwzAYNWoUtczfgwcPIBQKqSq0DMPA398fgYGBVEmpzMxMiEQiVmqWVCrV3Ps+Pj6aZExdZGVlQSwWa+aCGzduoE+fPjrnkZubi27dutUHz/pw9+5djB8/Hvv376fKgIaEhCAoKAhJSUmck3Bubi7c3d0xa9YsxMbG4ty5c6xOQ4sXL4a5ubnOT21XOvWPWCxG48aNQQiBhYUFJ1csODhYJ5udnZ2N999/H4MGDFBlC21tAYbBw4cP/9B8BODp6cmq3xwSEqL5LlasWIGtW7caLJM8ffpUK6Oolq0zZGkcERGh8yDW1NTA0tISLVq00KJgVFdXw8fHh3NXevz4ccTHx2P79u2YP38+1WYFAFxcXDB37lwqR6zk5GSNFXBgYCB27dqFO3fuGCwpjhw5Uue6q+X/rKysYGVlBWtra9jY2OD3338HIQStW7eGi4sLbty4wRo0BgcHswbMtXH79m3ExMRQN8ZomUKUlAAFBSgoKMCXX375h83ra9y6dQtjx441KE6flJSkmaTkcjmOHz+u9fsffvgB33//vd7nLjExEaWlpfD09OS0x378+DH1xkuhUCAiIoKa6nP+/HnqJtu6qA+e6VBZWYnVq1dzbpQePHiAyMhIHDhwAFu3bqUOcIcMGYLp06cjJiYGZ8+exbNnzwzO2YcOHYKpqSlsbW0xYcIErF69GsePH9dLv2MYBm5ubli3bh2n693Nmzexa9cuREZGar2uVsJ47733IA8K0mQM5XI5pkyZAqVSiTNnzsDf39/g9+Pq6op169ZpAlFHR0dYWFgYbDTMzc3lVDRIS0vD+PHj0alTJ3Tq1Al+fn4YO3YsRo4cCW9vbwwePBgeHh5wc3NDv379YG9vDxsbG1hYWFB5AygUCiQlJWHWrFmcY9U4duyYZi7w8vKCo6OjwXVSqVRi7dq1Bu+R58+fw8jISHMfFBYW8krenDp1CgEBAZxzkxr6jp2Tk4N//etfOlnap0+fclbI1OcQFRWFQ4cO/bEWKBQAix51VVUVNVUDUM3htBUdmUyGDRs2cAbOJSUlWLNmDZKTk1mPfeLECU3VXqFQGGzyP3/+PNq0aaNF/0xPT9e7ri9YsAANGzZkVU35nw2e/79CqVRixYoVWLduHfz8/CASiTBixAgkJCToDR5LS0vh7OyM0NBQrUawxYsXo3PnzmAqKjR8J0aphLOzM86dOweFQgFnZ2c0bdqUdQGZ/JrjunTpUrRq1crgzcYwDGxtbXH//n0AqlJ6586dYWVlpXd8Tk6OXs7SgwcP8PXXX+vwAw8ePAgbGxu9VQN95xITEwMjIyMq3qNcLsfhw4fh6uoKW1tbbN26lTNQf/HiBVJSUrBmzRqMGTMGFhYWMDExgYeHBxYtWoSEhAQ8fPgQO3bs4KRHqPHq1Sukp6f/qZrDtKjMzIRy7Fit8vHu3bsxdepUvQ08Xl5eBjcfas6ZIWRkZMDBwYGVR7dr1y4QQjB+/HjW72fz5s04e/bsP4qGUx88vxs8f/4cw4cPR5MmTQyairxrVFVV4caNG5oqz9ChQ2FmZqapMPr7+yM2NlYTRP7+++8ICQnROP7pg0KhgJ+fH/z8/LQ2s9euXcPHH3+MM6dPA+oKGsMgJCQEK1aswOnTp/HZZ5/p7T+5d+8eRCIRNmzYgJCQELx48QKRkZGsz8G+ffs4s9IMw2DlypWwsrLiZZ3+V+HOnTsghGDIkCFv/MxPmDDhrfjx48aNeyvZ0sDAQOzYsYOKslAbT5480SSb8vLyVHO1ry/A0WBZUVGBDRs2UNunV1RUUOk4KxQK7N+/H8OHD2fltVdXV2PevHlo27Ytp6pSQUEB3n//ffTq1Yvz+u7btw9CoZBz8yOXy2FqaoozZ87Uc57/m8EwDG7fvo1FixbBzMwM/fr1w4YNGzQcttLSUiiVSgQHB8Pd3V0rCxkbG/tHOez5c0AkQml8PIRCIUpLS3Hy5Ek0aNDAYEDKMAzs7OyQmZmJO3fuoHnz5qz8z7t378LOzk5zk+/fvx///ve/DY5Xd8vWRXFxsd4s34kTJ3hxqQsLC+Hh4YExY8ZQ0zmKi4uxfPlyGBsbY9SoUUhPT6eelNXc5GPHjmHp0qXw8vLC+++/j0aNGmHYsGG8uZh/NaRSKQ4cOIBRjo4oat8eaN0aeF0GfvnyJQQCgcFJ0cbGhjXrNmjQIL2262o8efIERkZGBo+hVCoxYMAAiEQiFBQUGDxOXl4e2rVrh27durGWGGUyGSIiInDhwoU/3VGtPnh+N3jw4AG+//57rQZUGlRWVmL//v0ICQl5Jw2gajx//hypqanYtGkTPvroI7Rr1w729vaa+WP69OmsVJ/IyEg4OjpqzU2PHj36IzhWKIDBg6EMC4O1tTWOHDmCFi1a6G0KVNspr1+/ntqMIygoiDVjWlxcjH79+iE4OPhPfUbKysrearN77NgxmJmZvbF+9c2bN/WuQ7RwdXWlbr6vi6ysLFhbW7/R33/+/Hl8//338Pf3V2nuOzqqQrs65lZqqF1a27Rpo0WdM4SioiIMHz4crVu3ZjWcAlRVY2traxBCOLPwJSUl6NWrF3r16sWZKJo5cyaCg4M5JfHUdI2qqirOY4aFhWHlypWsY4D64Pm/DgUFBVi/fj2cnJxgYWGBn376CQsWLIBcLkdiYiKMjIy0iPSaG+nZM+CHH4CWLXEpPBweHh5gGAZz5sxh1Q+9deuWpky/atUqTlm3GTNmaLkhrV69mnX81KlTqRsWANWEYWxszMsg5fDhwxAIBNRSPMAfahy+vr4Qi8Ua2/GbN29ST3RqfeXz58/jyZMnf7ntLV9cuXIFXZo1w8PmzcG0aqWlDTpy5EhWlQyuBXv//v0IDQ1lHbNp0yZWySe5XI6rV69y6ntv27YNP/zwA6ZPn876naenp6N58+b44osveBvu8EF98Pz2uHPnDoRCIbKzs3k1v+Xl5aFDhw5o27atpir2rqFQKFBcXKw1LzAMg6NHj8LGxgYjRoww+NknTpyAWCzGw4cPtd4LAJDLVYpJhKBkzhyIxWIsWrRIL9VCnaGrrq6Gm5sbpyY0oGrINfQcnTx5EgKBgNMl9l0gKysLv/zyCwYNGoQdO3a8USBZVFQEoVDIukFng5mZ2Rv3y5ibm79x8N+3b983sglPSUmBqakpiouL8erFC6BvX1VYx8Jhvn//PkQiEXr37k2leJKYmIgvvviCylY8OjoaDg4OmDZtGuu4oqIiGBsb4+zZs5wShCtXrsT48eM5v1uuBsLayMrK4jThUqM+eP4vRl5eHnr37o3u3bvDy8sLL1680OzA9KpWFBaqpJDeew9rPD0RGxsLhULB+SCNGTMGJ06cAMMwnEGGuolCnQFnGIb15pfJZLC0tOSUFaqNq1evQiQS8dIOLS8vx8SJE+Hq6srbkrW6uho7d+6Evb09PvjgAwwaNOhP0Yz9O7Fz5044/fYbSjt3hrJlS6BWY9LZs2c5G1e4gufKykrOBlWGYdC3b1/O8vClS5cgFotZG0zKy8uxdu1a2NnZsWaFtm3bBhsbG9jb23PqT78p6oPnt8O1a9cgEomoAsLauHPnDiQSCdzd3ankEf8sZGRkwM3NDW5ubsjIyNBRdLh37x6EQqH+QFUmA/r1AwjBxSFDMHHiRINNsep+lu3bt1Nl1kxNTfV8nAz+/v5wd3fn7Wr3Nrhy5Qratm0LsVj8xgFwVlYWRCIRdbN9baxfv563UZcab2q7ffjwYVZTG0NITk6Gubm5ihpUUwO4uKhCuogIg+85cOAAjI2NkZOTw0opAlSbwcDAQHh6eiIvL4+1p0ZNQZo4cSIUCgWnM6xIJKKi/+zZswfu7u5UQe6oUaOwa9cuznEMw8DGxoaqqRyoD56pkJmZiYSEBGzbtg179+5lvWDqAPLhw4e4c+cO7wn9r0BFRQU8PT0xZ84c3b8lPx/o2hVM8+aY8p//UHU5FxcXQywWU5c89+7dy7kDrQ31Q8X1UNfG3bt3IRQKqc6/NjIyMmBsbIy1a9eiurqalxvV06dPMWbMGLi5uWHixIm81Ef+TlRVVSEuLg6rVq1CSEiI1o6/vLwcXl5eGD9+PKQXLwIffwzUUuNQW5rqy/ap7y11yY4LLi4unBuX/Px8VvqGGmp9by4Kj1qqi21zJpPJNFa9tU1k3hXqg+c3R0ZGBsRiMStVpy4UCgXCwsJgZWWF7Oxs3j0E169fh7m5Obp164bZs2e/M8WN+/fvw9HREQ0aNEBwcLDWffb8+XNYW1sjLi5O9401NYCTE0AIdvz0k15lGuAP7fWysjLO51Eqler0o+Tk5MDMzAwxMTF/S8/ApUuXcPPmTVhZWWHOnDm8OcCA6n4xMzPjNa8DqnlQIpHw/jzgzYJnqVQKoVDIe4OSlJQECwuLP7LkpaVAt25ALSGA2lAHwoMHD6b6ToqKitCnTx+sWrWK8x4oLS2Fg4ODXhm4unj48CGEQiFVlj0lJQXW1tZUzdxbt26lNv9Zv349tVkLUB88c+LmzZsYNmwYCCEQi8WcwfDdu3fx/fffgxACZ2dnTuer58+fY8SIEfDy8sK0adN4ax+/KdR2pU5OTnj58qV2oFdUBDg7I/t16YdGlWLZsmU6HeJsn21vb8+rieLEiRN/uCJRIicnh1p3sjZkMhkWL16M3r17o2/fvv94OsXbID8/H2FhYejQoQM6deqktfBevHgRQqEQJzds+EMWq86CFRQUhGXLlumtOJw5cwaZmZnIzc3F0KFDOc8lLi6Ok8YDqCbEGTNmcI47f/48TE1NOTddT58+hZmZGafRj0wmQ3BwMPr06UPdTEOD+uD5zXD27FmYmJjwyiRmZmbCwsICy5cv5x00P336FPPnz4dAIECXLl2oggK+uHDhApYuXYpRo0bpyG3V1NRg+PDhCAwMhFKp1J4L5XJg1CiUHzwIgUDAybF1cHBg/d6uX7+uyXqmpKRg+/btMDY2xt27d9/4b3tXYBgGcXFxEAqFKs1inkhISICzszPveX3EiBG8KqCAYfk5LixcuJCzWa4uEhMTYWVlpVrLCwv/mKsNbDJKSkrg4OCAiIgIqnX1woULEAgEVFraWVlZMDIyorLnvn//PgQCARVt6tatW1pSc2y4e/cuJBIJZ6IFUK2DYrGYWoELqA+e9eLx48cazdvhw4fj1KlTWLlypcGHLTMzE8HBwTA2NsawYcMwZ84c1t25TCbD6dOnMW3aNBgbG+Ojjz6Cm5sbFa/y3r17GD9+PBYuXIgtW7bwcs3Th9OnT0MoFMLGxkbvYhIbE4PtDg46mqJ1oZaeo80OZ2Zm8m6ECAoK0pK7o4Ha8SgjI4OXDm9NTQ1GjBiBli1bYtKkSbw+858CQ8FBRUUFtmzZgj59+sDJyQm7du1CYmKiJnunVCqxePFi2NnZoWTLFqBlS0DPxujevXuwsbFB//799W6E1EojaWlpqqaVOti7d6/Wv1++fEm10DAMAxcXF6pJ/MyZM1R8RalUipEjR2LKlCmcFZSbN2/C1NQUa9eufSfKJ/XBM3+cPHmSV3OwWqXI3NycF7dZoVDg8OHD6Nu3LxwdHXHgwAHI5fI31vR+WzAMg7CwMLi7u2Px4sV6x5w+fRpLhUIwLJWv9evXs/aSbN26FdHR0bh69SpatGgBc3NzqiDkr0RpaSkmTJiAvn378m62joqKwpgxY3itP+np6fD19eX1OQ8fPqTiBNdGXl4ezMzMeM0tBw8ehK2trYoueP8+8OWXAAuV7vr16xAKhVR24AzDYMWKFbC3t+dMBgKq+8/IyIiKXnPjxg0IhUKqZMTjx48hEAio7NgrKipgZGSk1SvABldXV70NpWz3R33w/BolJSVYt24drKys4Orqin379rFOFtnZ2Vi0aBFMTEwwePBgHD58WLNr0feFFxUVYdOmTejfvz9MTEzg7++P8+fPQ6FQGNzNMwyDR48eYc+ePZg5cyZsbGxgbGyMZs2awd3dnYoAzwW5XA5fX180atRIr2kJs2ULQAjyLS0BjkD94MGDmDJlCvVnBwYG8tKSVCqVsLe3R2pqKq9Jr7i4GD179oRQKORdbqyursbx48f/1IaxdwmGYVBQUICzZ89q+O79+/fHxYsXkZSUhEGDBkEikWDlypV6m4GePn0KW1tbLFu6FMpVq4BGjYAePVSZjFpQKpWwsrJCbGwsCCF6eWrjxo3TdP/rE9sfMGCAjotlXQ6yoeavwsJCiEQiqtLtyZMnqU18oqOjYWtry5nNlMvlWLRoEWxsbN5aJaU+eOaHw4cPw8rKikqWElDN1dbW1ggNDaXONj558gRBQUEQCoWYM2fOG/Pdy8rKcPnyZfTu3RsSiQS+vr5vPW/LZDJIJBI0aNBAv4RaVhYUDRqg+MsvAQOV0qKiIjg6Ohr8jJkzZ+L48ePo1asXhg8fjuTk5HdC1aiurkZGRgaioqKoJTq5cO3aNVhYWCAoKIhXMmnWrFkICQmhHs8wjEaxgRZpaWmYOXMm9XhANS/ykf3bu3cv7O3tVed1+jTQsaPqx4Bc47Zt22BmZkYVhL569QoDBgzAvHnzqIJ5dWMgTRLt4sWLMDIyouoxKikpgZGREVW1mmEYDB061KAbcUlJidbfsnfvXr0JsqdPnxrUjAb+x4Pn6upq7N69G87OzrCxsUFMTAzrRX/06BFCQ0MhkUjg6emJAwcOsEpnXbp0CfPmzYNEIoGTkxOioqIM0j6Y1yYl6kDZ1tYWpqamGDJkCCIiInDu3DlUVFRAoVDwKh2dP38eERERuHv3Luvkl5+fj2XLlumW+xgGVTNnAoSgqEsXgGWHqNZyfvDgAdWDVllZCYFAwGogUxfFxcUQCAQIDAykGg+oSmf+/v5o1aqVfs7g/zOoA+SUlBRs2LABM2fOhKurq8YNbcCAAQgMDISTkxP69++PESNGQCgUIiAggFWe7cCBAypr6gsXgCFDVNNAnz7Aq1dQKBRYvny5phFy/fr1WLBgATZu3IhvvvlG7yJ++PBhGBsbY+HChTpZZgDw9/dHkyZNtBwNo6KiEBsbq/m3r6+vQUvcnTt3YsqUKZxNp4BKrsra2pqK15eWlgahUIgrV65wjr19+zYkEglWrVr1xlno+uCZHvv27UOfPn0MXkeGYTQZJIZhsHbtWkgkEqomIIVCgUOHDmmyzAcPHuSsQqifxXPnziE2NhaBgYHw8PDQuMk6OTlh8uTJEAqFGDFiBJUDGw0qKyuxbt06uLq66g0YZXv2oLJRI1S2bg3GQOmcbQPi4OCA7OxsXmVsLkilUixZsgSff/45CCGQSCSwsLDAwIEDMW3aNISHh2Pnzp04e/YssrOzeQWpDMMgNjaWSse39nuGDh3Ka01YsWIFr/Hx8fG8HByTk5MxYsQI6vE7d+6Eo6MjqquqVLzmRo2Ab7/Va4Ail8sxceJEjBo1iqqKcOvWLYhEIhw7doxzbG1tcpreJzXlisYptLq6GlZWVqzumaWlpZokZExMjMGeqosXL8LDw0Pz75KSEgiFQp0G/zt37uDzzz832D8A/A8Hz7du3YKpqSnCwsKodmDTp0+Hu7s79u3bx/lQP3r0CCKRCOPHj8exY8c4d8OLFi2Cqakphg4dipUrV+LChQsGF4fnz5/DxsZGryNhbVdC9c+XX34JQgi6du2K2NhY1iDj1atXWLdunU52Ri6XY/6vv6KUECg7dABe6zQmJibqcI/S0tLw008/IT4+Xuv18vJyvZPakiVL8NFHH+lkIY4fP643+1deXg4TExM0b95c89k1NTXYsmULZwBVXFyM1atX4+TJk7xE7xcsWEC9YTl//jxmzJiBffv2Ud1XkyZNgoeHB7y9veHr64tp06Zhzpw5WLx4MSIiIrB+/Xps3boV+/fvx+LFi9GuXTt8++236NevH2bPno0tW7YgNTVVRwoLUNmUDh8+nFPsHVBNKj4+PqpJ5NQp1SQ8dy6gVCInJwcikQiDBg0CoFp0JkyYgJqaGmzevBnR0dEGv3uJRIJdu3bh1q1bOr9LSkqCubm5VlavsLBQi5qTkJAAQohBK9dJkyahvLwc/v7+nM0mhw8f1sl0G0JBQQFcXV2pFnC5XI7FixdT8bX1oT54pkNZWRmGDBlicD59/PgxbG1tNddh3bp1WLhwIdViXl1dDRsbG8ydO5dKpefw4cOaOdbDwwOBgYGIjY3F2bNnkZ+fr3Ov+vr6YurUqVi5ciUOHjyIa9euoaSkRO89feHCBaxdu5aKkqJUKrF69WqdqgrDMAj29MRdQsA0agS8DuCuX7+uyd5FREQYzKyZmppCqVTyUiG5fv061TkrFApER0fj9OnTUCgUyM/Px6VLl5CQkICoqCjMmTMHI0aMQJ8+fTTfsbe3N9U5vHz5Er6+vtRunzKZDMOHD6fOWL948cIgXUYfkpOTtZIDXJg7dy5VQAmo/tahQ4eqAuFnz4D331c1jhqgqK1evZpa9lUqlcLFxYVasSo2NpZajUQul2PQoEGcvOXKykocPHgQ27ZtY72eBw4cwNdff42ioiIoFAqMGjVK7zMfHR2Npk2bIqKW6sjevXt1HG1lMhn69OmD5s2bs94X/7PBM98SFJ/xNJmwtzl2TU0N9XtSU1OxYsUKjB49GmKxGO7u7li3bh2ys7N1jiGXyxEWFgYzMzOdQKSkpAQ+pqYo/Pxz4HVJKSUlBSYmJlo8qLNnz6JNmzYa50E1ZDIZHB0ddRo8jh07hvfee0+n+SY9PR1isVhvAC2VSuHn54d169YBUC0gQUFBGDhwIFWwk5+fj0GDBmHo0KGcdAyGYZCeno7hw4fD1NQUUVFRrOXi6upqXLhwAStWrICnpydMTEzg5OSEBQsW4Pjx4zoTxqtXr/Ds2TONOsulS5dw9uxZHDt2DPHx8di2bRtiYmKwcuVKzJkzB++99x4sLCwQGhrKWbbmXWatXVWoxVdbtGgRGjVqpHfnP2TIENbyq5mZGet5JCcns1J9ampqYGRkhFGjRrGeemJiIho2bIixY8eyZlXS09MRHh5Opdn6VykK1AfPb4+Kigr88ssvaN++PS+ZyKKiIsyaNYu6aUoNvlWGoqIiXLp0Cfv27cPy5csxadIkuLi4aIJDGxsb+Pj4IDg4GEuWLEHXrl3x888/o3///khMTGTdAOzfvx9CoVAnCHj16hUGOTri1rffAmvWAFBtMIRCIe7cuYPk5GT07NlTh/d679492Nvba3oLaCygAWDx4sVUwfaLFy8gEol4cc//Ca6q/0jk5gLq7yY7+4///4eisrISmzZtYq3wy2QyrF27Fh9//LFOEq4uLly4gAYNGmD48OGcnx0SEoIffviBU5lHLafLZebyPxs8/6/iyZMn2Lx5M4YOHQojIyN4eXlhy5YtePr0KWpqanDv3j08fPgQDg4O8Pf31wpGlUolkk+e/ONgK1bgyv79EIvFWkHopUuXYGdnp/PZlZWVsLCw0AnCMjIyMH78eJ3xbAE0AB0eYnx8PExMTKj5iSkpKRCLxVi+fDlVdurVq1eIjo7WZELS0tKoFtySkhIkJSUhODgYjo6OMDY2xsCBA7FixQoMHjwYe/fupTpOZWXln9O0U1kJjBsHNG4M1HGIzM/Ph1Ao1OukqOYAsmHAgAGsGxSGYWBiYsK6EZDJZBgxYoRB+ob6OFZWVhCJRKwZDbUrZps2bVj5bIBKS3TKlCm4evXqnxpI1wfPb4/k5GTY2dlxXtPayMrKQrt27fD111+/UeM1X7kzNkilUmRlZSE5ORkBAQFo3749xGIx/P39ERgYCJFIhGnTphnkfJaUlMDb2xve3t5a9z/DMNi/b98fDd/79qFwzx4IhUKsX78ehBCdrJ6joyM6dOiAx48f49GjR9SmETQUBbUE3l9hrvJfDYYB1q5VNXMvWfK3nsrjx48RHh7O2vshl8s19/Xs2bNZj5efn4/OnTtDJBKxzrsMw2DEiBGYOXOm3spmbVy+fBl2dnZU6+f06dO1jNwMoT54/h8GwzDIyspCVFQU+vfvD7FYjObNm2PmzJkoLy/H9u3bVVJltQNmNZ4+BVq1Atq0waOgIIiEQi0+d2Zmpt4bv6SkBGKxGNevX9d63ZC0kjqApunyBVQcVKFQyGoTXhtyuRwrV66EWCym6jxW4/r16xp3wRUrVmjOn2aRYRgGeXl52LlzJ9577z00bdoUbm5uf0sHvyI1FVVdugCEIOXnn1Fdq+xaU1MDCwsLg5mnBw8ecHaSBwQEcFJkNm/ezKmiUlFRwWm9XVZWhpSUFJibm7M2B+bl5eHXX3+FnZ0dawaEYRg4OzuDEIKNGzeynt/boD54fjvcvXsXRkZGvBzgZDIZvL294ebmxumKWhu3b9/WNBLyaXbmg+rqap25U6lU4syZM/Dy8tJw7F+8eAGpVKoV+CclJUEgEOjP2CmVwE8/AQ0aoHTMGIh/+w0eHh46BhLjx4+Hj4+P5t/BwcFU9/+9e/cwevRog79XKpUYMGCAjgTffytKS0tx6NAhBAQEUNEfampqcOHCBWzevJm9sTU/H7CxAQhBjbEx7utbn/WgqKgIhw8fZq3OKpVKXL16FWFhYfD09GRNRDEMg7Fjx4IQwur8CqhkYwUCAXr27MnKo3/16hUsLCxw5MgRTonZJUuWUPU+qdcOmvX11q1bmqoLF+qDZ0pUVVXh9u3bVJIq6iaStLQ06u5uhmGou8f/LJw7dw6jR4/G5MmTsX79eigUCrx48QLe3t7w8vLSDWCzswGRCCAEZebmsOnVi0p5QJ3NpO22Tk9Ph7GxMXUAXVJSAnt7e2p+K6BSdfD29oanpycvh8Gqqips2bIFVlZWGDhwIFxcXHD58mWq99bU1KC0tPRvMRwAACxaBKZRI+Q1aIABH36ow9EeO3YstmzZYvDtUVFRnM0zMTExeu2Ca0Mtc8j1rFy6dAn29vacG5Rjx47BxsaGdZGorKzUSCqxyRmVlpZi3LhxEIlEnCXEN0V98PzmKCoqgkAg4KW7XVFRAUdHR2zatInXs6dQKDB79mw0aNAAQUFBb3K67wQVFRXYvHkzbGxs4ODggJ9++knLDKq8vBzjxo3DgAEDdPmzr14B3t6qwOv77+HRrZtOlm3lypVa36fasIOLzyyTyXSMVWpj6tSpCA8Pp/9D/4GQyWS4f/8+Dh06xJrtrK6uxg8//IAGDRpQVUOuXbuGli1bon379jqJJS0cPgx06AB506aY3aED/vXll5zeE4WFhejWrRsaNmzIORe/fPkSP/74I5o3b45z584ZHMcwDCIjI2FmZsapmX3mzBkNTYetCllWVgZzc3PWJj019u7dCw8PD6rnd/jw4QaVN2qDYRhYWlpSG6vVB88ckMvlMDMz05iecHFqT5w4gZYtW+K9997D4cOHOY8/b948dO3aFV27dmV/aKB6IOPj4xEdHY3Fixf/pe6Fp06dglAoRFxcnDanW6EAQkKAJk1Q8/nnMPr9dyou24MHDyAUCqmdwfgG0AqFAlOnTsXIkSN5dYynpaXB1NQUoaGhqKmp4eXwdPToUTRo0ADNmjX7UzOV7wI1NTVItrXF8U6dsGr+fB25xNjYWL1Umtro378/50YjOTmZyrVp4cKFVBmpxYsXUy3A8fHxcHJy4rz29+/fh1AoZNWMZhgGlZWV8PHxwdixY99aW70u6oPnN0N1dTUsLCyQbkCSSx+ePXsGiUTC2477+vXrkEgkCA8Px8mTJ6mDboZhcOTIEURFRWHBggVU2uR8sGTJEnz33Xf49ttvdQKEc+fOQSgUYuvWrbrne+AA8MEHYJo0gUuPHlryefqqNkeOHKHSODbkwrdq1Sr4+flR/EX/XEilUvTq1QuEEINNaYBqrTQyMsLs2bOx5jXX3BCUSiW2bNkCoVAIR0dHzntZfvo0Cr78Eu4//4xu3bpxUhRTU1Nhbm4OIyMjVtMVhmGwY8cOTUVl//79Bsc+e/YMffv2RVBQEORyOescGx0dDXt7e8519OXLlzAzM6MyVcnIyIC5uTnVPLx7925qh8HY2FjMmzePaixQHzwbRHV1NdavXw8jIyO4u7tj0qRJrBmve/fuwcfHB1ZWVrCwsODMPqanp2skjXr16sVZUlAT7Tt27Ij27dtTyfGUlZVhx44d2LlzJ3bv3k3dxWsI1dXVCAwMhJ2dHUaOHKm9kbh5E9i/Hw8fPoRIIEDmgQOcx7t27RqMjY2pA9S0tDReATSgEvu3sLDgpdOsUCgQFRUFkUiEnj178gqgZTIZ8vPzce3atXceZPFBaWkp7t27h+zsbOTl5anO5dkzYOhQ3AoMhJGREaIiI/Xe05cvX4alpaXBSsjly5dRWFhokO9cmwv66NEjKpOAFy9ewMLCgnOcUqmEjY0N50YTUOmZuru7c2a0i4uLYWlpScVz27VrF8RiMZX0GS3qg2f+YBgGnp6evCgAWVlZEIlEuHTpEvV7KisrMX36dDg6OvJ2lZTL5Th48CD+85//oHHjxli5cuVfXmWqrq7GjBkz4OTkhEWLFmk3UxYVAWvXakrqjxITWc2wXF1dOeUbHRwcdOaN+Ph4uLm5/b9t+nv16hVCQ0MhFAoxbdo0Het0NfLy8uDh4YHhw4ejqKiI81qnpaXBzMwM8+fPR1VVlf5gXCoFgoPBTJ6M/fv3QyQSIWLFCtTU1LBWAh4+fAgPDw8MHToUT548YeXnZ2Zmws7ODv7+/pw8/oSEBIhEIs5NoFwux4QJE6ik60pKSmBqakpFtczNzYVAIKCKZXJzcyEWi6nW4RcvXkAoFPJas+uD5zp48eIFgoODIRQKsXr1alRUVBjcWTEMg5SUFPTt2xfu7u4afVFD42UyGXbs2AFzc3OMGjUKd+7cQVVVFatm6aVLlzBq1CiYmJhg9erV2LdvHyc1Qi6XIyUlBdOnT0fLli3x4YcfUgUGtFiwYAEIIejXr5/eCfHF8uVQEIJnAwZAyWETm5KSAktLS2pNzzcJoC9fvgyBQICQkBBqSgbDMAgJCcGHH35IbcbxT0Fubi7Cw8PRoEEDNG/eHCHBwVCsXAll27aQN2iAXb/+arAJU62jHRsba5CrHBwcjNmzZ2Ps2LF6f79y5UoNJUehUOgNimUymc5rY8aMQWpqKuffl5eXByMjI6prEh0dDS8vL86FWyqVYtCgQQgJCeFc9B4+fAhzc3NWiT4+qA+e+WP27Nm8JMMuXrwIkUjEy5hDzR/euXMnr+ucnZ2NgIAACIVCzJ8/H2fPnmUtgdfFnxFgR0VFgRACJycnvc/C46QkyBs0QIWJCWCgbJ2bm8vZPDh16lQtg4+0tDRYWFj8v5o/1SgsLIS/vz/EYjHi4uIgk8n0XhupVIpFixZBIpHodamriydPnmDQoEEYPHgwu5xpUpJKs5kQnO7UCf4zZnCaj5SWlmL69OmwtrbmTOBVV1djzpw5sLa25kwGVFRUYOTIkfDx8eE0myopKYGdnR3Wr1/POg5QSe+amJhQNZCWlZVRJy4UCgUsLS05edNqjBw5klfvA1AfPGuQnZ2NcePGwdzcHHv37mXNVsnlcuzatQsSiQQTJkzgDGZfvHiBkJAQCAQCLF682GBznBolJSVYuXIljI2NMWbMGCoO7fPnzxEXF4cBAwZALBZjxowZOHv2LHbt2kUdaFZUVCA4OBg7duzAjRs3DHamMgyDO3fuIDw8HImJifr+AFQOHQolIShv2hQ1QUEqRQcDOHjwIPr27UttIKAOoGvrNXLh1KlTaNCgAWxsbHhLA96+fdugC+Q/ARUVFTh8+DDGjx8PsVgMT09PbNq0CVOmTMHTjRvBfPcdQAgut2uHqyxNTnK5HLa2tjh69Cg++ugjg9kFY2NjdO3aVa/xCaCStqstUWdmZqYzZtmyZTpc4/v378Pd3V3zb7brtGfPHoPBe12Eh4dj7NixnNedYRjMnTsXw4cP1xvc14ZMJoO/vz/c3d15VSb0oT545octW7Zg+PDheq+nvtcSExMhkUioK29FRUUYPHgwRowYQW3/LZVKsX37dtjY2MDd3R3Hjx/nnWlVKBS4f/8+Jk2ahE8++QRCoRCRBqpDfFFTU4Pjx4/Dz89Pf1Ajl6PY3x+VDRtC0bAhlD4+qqbwOlAbIxlCTEwM4uLiUFpaqsn080l0/BOQnZ2N0aNHw8rKCocPH2adNxITEyEUChETE8N5nSorKzFv3jyYmZmxZ27v3wfMzQFCUNCqFcLMzTkbDuVyOdasWQOhUIgDBw5wznVHjx6FUCik8kfIyMiASCTCAYpq8v379yESiaiyyEVFRRCLxVRUJrlcDgcHByo+NAAEBQUZ1N2vmzhKS0vDgAEDdMYlJiayJtv+54PntLQ09O/fHy4uLpy7n/LyckREREAoFGLRokWcE+vt27cxcuRImJubY9euXazlC6VSieTkZHh6esLKygqbN29mLaEwDIPr169jwYIFMDc3h4ODA9asWUNVWiwpKcGlS5ewa9cuLF68GCNHjoS1tTUkEgnatm2Lzz//HEuXLqWy2GRD3JQpOESI6nYyNWUdO3nyZDRr1ozT6AJQ/e3Dhg0DIUS/EoiB95w4cQLOzs7/eD6yIeTn52PixInYu3cvkpOTsXjxYtjY2MDKygoLFy7E5cuXVRM4w6i46ADuzZ+Phy1b4pC3N+R1AsJjx45pNUdMnz4dkZGRmDt3Lgghevl3CoUCrq6u+OSTTwxSYRYsWIAWLVpoJjorKyudasymTZvw5Zdf6iwKffv21QTVSqVSU9LUB9pGEACYP38+pk+fTrVx2rJlC2xtbamC4pMnT0IgEPAy3amL+uCZHikpKbC1tdW7uSkoKMCiRYu0Xtu4cSOcnJxYtZ/V9wTDMNi0aRP14g+ouvP9/PxgZGSEZcuWcdq6A6pn6MGDB4iPj8eCBQvg4eEBU1NTWFhYYOTIkQgICICpqSlOnTr1l9M8Vvr7YxUhUDZsCLRrB9TJMnI1D547dw6zZs3ClClT8N3/tXfeYVFdTx+fa03TmGZiNCYmJmpimj+NCbtL701ARQFBFFFUwIK9F+wde2/YsXcp9i4WbFhRRJTey7b7ff/Y7AbYcg9pJm/u53l8EvFw9+zuvXPmzJn5TsuWeFhBL/6filqtRmJiIhITE+Hj4wMvLy/B5/nRo0fw9PREeHi4oJ3geR5btmyBmZmZrmbIIL/a7NyrV5H31ltY0aoVrgs4ljzP4+DBg5DJZFjwazqHKdLS0tClSxf07dtX0H9RKpWYNGkSPDw8mNIejx07BnNzc5MF2FoyMjIgk8mYIvWApslQ1V4QVV9b+7mePXsWXl5eBqVVJ06cWOkUXqlUwsLCQs9J3rlzJ5o2bWry+fvPOs8PHz6Evb09+vbtW6lYwhjz5s2Dubk51q5dK6gVmJaWBldXV/j5+TEVs2jbio4YMUJwLrm5uejTpw+kUin69u2LAwcOmHSy4+LiMGTIEHh5eenaN3fs2BFDhgzBkiVLcOTIEdy7dw/l5eVQqVQYOXIk4uPjce/ePcHjmXv37glGc86dO4eRUimyd+zQFBLm5wOrVgFVcosuXryIdu3a6SKPujxdI5SUlGDatGmwtbUFz/PVEty/c+cO0yKn5fTp04KfhZaUlBTs378fN2/eZPqdzZs3Y+rUqRgxYgT69euHbt26wd3dXa9TpI2NDWQyGTiOw5tvvqk7Tq6UX8jzQGysZqMyeTIGDhyIgG7d8KLK0aBCocCIESPw5Zdf6oxDfHw8goKCwPM8du7ciXHjxhk1mFu2bME333xj9D09efIEbm5uOuMcEhKidzqTlJSEGjVq6EkNnThxAmPGjNH9fcSIEfjuu+8MPhdFRUUwNzdHSUkJVq1aZfKIjud5DB8+nFmB5dSpU5DJZExavpmZmfDw8MD69euZrl0V0XlmIycnBzKZzKCzcvLkSTRq1KjSxnjVqlXo1auX0aAFz/PYsWMHtm3bBqVSCTc3N4wfP55JC/bcuXOwtbVFjx49cPbsWUEnd+HChfD394eVlRVsbGzQq1cvzJ8/H7GxsXodCe/fv49169Zh+/btOHDgABISEnD+/HncuHEDDx48QFpaGnJzc1FeXg6e5zFlyhRs2rSJSas+KyvLpHOjUCiwePFiuH79NcpXr8a9e/c0c1uxAvjVZh45cgTOzs56nfOKioqQnJwMDw8P1KtXD46OjiaL2quTQ15aWlotRzwuLg5RUVGYM2cOpk+fjkmTJmHs2LEYMWIEBg8ejLCwMISEhCAoKAidO3dGrVq1ULduXXh6egp2hl22bBkcHByY6i7y8vJgZ2eHcePGGd/A3b4NdO8OODtjy5YtMDc3xzFDJ7pVKC0thaurKwYPHsx0QrJz505YWloy+SRamdKlS5cybeB27NgBLy8vJsUwhUIBS0tLkyfqPM9jz549uHnzJqKjo422287Pz4efnx8GDRoEQOMMW1pa6q3vJSUl8Pb2Ru3atStJWq5du1ZPm/zhw4d477334OXlZfJ9GLPbnObf/h20bdsWV65cqdbvlJSUUGlpKX3wwQdM41NTU+mTTz4hjuMEx8rlcsrJyaGPP/6Y6dpPnjyhxo0bU+3atQXHqlQqunv3LrVu3ZppLnfu3KHy8nJq1qwZvfPOOybHKhQK2rBhA7148YLS09PpxYsXVFxcTEREHMdRw4YNqVGjRvTxxx9To0aN6Ny5c7R//3767LPPqFevXuTh4UFvvfWWwWvn5eVReHg4WTx4QL0uXiT68EOi8HCivn2Jfp0Xz/O0YcMGcnV1pStXrlBkZCSNHj2anJycjM45JyeHiIiGDRtGJSUlFBkZSc2bNzf5Pi9dukRjx46lTz75hMLDw+m7774zOX7BggV05MgRIiKytbUlZ2dnatmypcHP//Hjx7R371568uQJPXnyhEpKSggAvfvuu/TZZ5/p/jRr1ow+/fRTioqKoo8//pi+/vprql+/vu7PG2+8oXf9Z8+e0c2bN8nZ2bnyiyqVRNu2Ec2eTXTjBtFHHxFNnkwZbm704Ycf6s3xxIkTZGNjQ+PHj6dx48YRkea+UqvVVLduXQoMDKTRo0fTl19+afDz2LNnD6WmplJ4eLjRz2zx4sX03nvvUdeuXTUGpcp7UalUFBsbSxs2bKAtW7bofg6AVCqV7llISkqiNm3a0IgRIygyMlLvdcrKyuj111+nO3fu0A8//ED9+/enCRMm0Ntvv603FgBlZmbS9OnTqUePHoLf+/Pnz6lRo0ZUo0YNk+O0187Ly6N3331XcGxVOI5LBNC22r/4L+b32GwiouLiYj0bw/M8devWjQ4cOEDPnj3TffcFBQVUv359g8/pkydPKCQkhC5dukRPnz6levXqUWZmJjVs2FBwDlevXqWCggL63//+R/Xr12ea94ULF6hJkybUuHFjQbudmppKJ0+epNLSUiorK6PS0lLdn4p/LysrI7lcTklJSZSZmUlvvvkm/fzzz+Tu7k5mZmb0/fff660pDx48oNGjR1N5eTn16NGDXF1dDa47RUVFVFxcTGvWrKHHBw/S6vPniV5/nahHDzrTrh1ZBQfTsGHDaMqUKbrfuXfvHgUFBdHTp09p9uzZ5O3tbfK9Tpo0iZKTk2nhwoX03nvvmfxM0tPTKTQ0lN566y0aOXIktWrVyuT4y5cvU3p6OtWuXZvq1KlDtWvX1v2p+Pc6deoQx3EUGRlJDg4O5OjoSG+++abJa2dkZFDDhg2Z1l8AlJGRQR999FHVfyA6eZJo1iyiQ4c0n21ICGVERND7H31ENWvWFLw2EdGLFy+oUaNGTGOzs7PpnXfeYb52dnY2vf/++0xjCwoKqF69eiZtJQA6ceIEPX78mDp37mz02bl79y4NHDiQsrKyKDExkcrKyui1117TuzYA6tWrF61Zs4Zu3bpF33zzDRH9tiZURKFQkKWlJbVo0YLWrl2r+7lSqSSO46hWrVq6n92+fZvGjBlDAwcOJAsLC6Pvx6jdNuRR/1P/iE1S/npUKhVevnyJa9eu4eDBg1i5ciW8vb1Rp04dfP/99wgICICdnR18fHywb98+o8dHVxMTMfrnn3GnaVOACHjzTWDAAN2RVUXy8vIQHh6Ojh07Mh0F3bhxA25ubggLC2OKLF+9ehWBgYFwdHTE7t27BVUZCgoKsGvXLgQHB+si//v37xdsB8zzPHJycpCYmIidO3dizpw5CAsLg5ubG5o0aQKO4+Dm5sYUyTBIYKDms2zVCli9Gigvh1qtxsWLF/WOt3meh7+/PzZu3Ggw8qNSqSCTyUy+3KFDhzB79myTY1JSUtCtWzfBqXfr1s1kBT/P87h8+TLMzMwEcyc7deqE5s2bCx4xRkdHg4jQt29fk9G6wsJCODg4YObMmX9YqcYUJEae/xB3796FjY1NtSKTt2/fRrNmzQS7nVXk2LFjsLCwwLfffiuYE/93kpCQgLt374LneaSnp2Pnzp2IiIiAra0tHBwcMGrUKBw4cAA5OTlIT09HSkoKXrx4galTp0IikWD06NEm7WtqaipGeXggoVkz8HXqAByHdDMzeEulBufy1ltv4YcffmB6Zk6dOgWJRGK4dsYA169fR9euXeHt7c3cNvwfyerVGpv9wQfAxIm6qP6/DZ7ncfHiRZPpdYBmPfjll19Qr149waL9lStXom7duibl8oDfittXr14tOM8FCxZgzpw5gqdKPM/Dzc2NKRvBmN1+5ca1On/+LudZrVYzF2+Ul5cLFgZWvK6xjnzGxv/RIqU/g8zMTL1F5PHjx5g6dSrMzc3Ru3dvnDx5Emq1Wq9rVlxcHILatcO177+HsqIaQ3y8XnHh9evXYWdnh0mTJjFJyWgXualTpzJVeWdkZOi6hs2ZM4fps+V5HklJSZg+fTocHBzg7OyMefPmYdmyZUz63lq2b9+OEydOsKeRqNVAXBzg4wNoCywTE4EDBwC1GpmZmQgLC8PHH39sUA951apVGDFihNHLnz59GsOHDzc5hbi4OEydOlVwqubm5oIbkgcPHsDd3V3wWqdPn0bHjh1NPiPp6ek4e/YsbG1tBXNcvby8IJFIBItUT506BY7jmFsU/x5E5/n3U15eDgsLC6bmTFqeP38OiUSCJ0+eMNtRnucxcOBA1KtXr1pazdnZ2diyZQvCwsKYNe3/TMrKynDmzBnMnDkTnp6eaN++PerWrYsRI0agoKAAarUaR48eRefOneHq6opdu3YZ3Rhcu3YNftbWONauHVTNmuHyiROa5/vSJeDXDWtxcTHef/99DBkyBFKpVK97oSEKCwsRHBzMpOSg5e7duwgICECHDh2YFHpeObduAYMGAdqGKfn5wPLlwD9QhUSlUuHChQuC6lRFRUWwsLAAx3GIjY01ec3NmzejZcuWghr9Fy5cgLW1NW7dumXS3qpUKri4uDDVmjx48AC2trZMDesOHjyIwYMHC44DROdZkLt372LMmDGws7PDxIkTTS7eKpUKkydPhkQigUQiESy4u3z5MpydnfH+++8Ldi/jeR5RUVFwcHDA//73P8G8rJKSEpw8eRLz5s3D0KFD/3Dx3+8hKSkJw4cPh0Qi0RViVNxQqNVqbNu2DVIzMyxatAjyp0+BmjWB+vWBkBDgwgWd7ijP89iwYQMkEgmTc6pWq3Xj161bx/TgyOVyREdHw9raGv3790dycjKeP3/OlEuYn5+PmJgYtGjRAkQEX1/fPzdamZICTJoENGumeTwbNAAM7MxjYmLQuHFjg92XkpKSYGdnZ/L9DBkyRNAgnT59GuPHjxec8rBhw5gkiPr06cNUoDVx4kQsWrRIcNyhQ4fg7u5uMjpYVlaGp0+fQiqVVpLWMsSqVasQFhaG8PDwvyTiKDrPv59BgwZVq012fn4+zM3NmSWsAI1dCAgIwNSpU6vlpJeWluKrr75CrVq1qi2D9Vexf/9+jBkzBnPmzMGhQ4cq2QhtNNrMzAyjRo1CYmKi3ry1TV8sZDLMmjULZaWlmhOvWrUAT09g/35MnTABsbGxKC0txeDBg+Ht7Y2MjAzBuR04cAASiYS5WBPQFO716dMHzs7Or6TA0iS5uRoH+aefNDa7dm2gGicdfxbaE4kjR45g1qxZgjnv7du3BxGZbKqi7bZpZ2cn2Jp7zpw58Pf3R35+vsm159atW5DJZEzqLKNHjzaqplERtVoNBwcHJiUvhUIBqVTKvKEWnWcTFBUVYfTo0ahdu7ag1JVarUZ0dDS+++47tG7dWvAGuH//Pry8vNCoUSPBlpnaitp27drhk08+YSq0uHjxIurVq4dGjRoxyaylp6djwIABcHNzQ79+/QRTEaqDWq1Gjx498MEHH6BFixY4ffp0pX9XKBQamR0zM8SNHYtiT0/wr72muQ0/+QRISNCNzc/Px4ABA+Dl5aVbyEx9L6WlpZgxYwYsLCxw9OhRZGZmCjrDPM/j3Llz8PHxwddffw0nJ6dKRQamfk9btX39+vU/3gFSu+EpLQW0n4e1NbBpk17EoqCgAIGBgQgPD8fjx4/1vr+ioiJIpVLBOclkMsGNxsWLFzFy5EjB6Z88eRKjRo0SHJeWlgY7OzvBhU+lUjEX6mzcuBH+/v6C0eLMzExYWVkJRk4ATWGvg4NDtRrusCA6z7+Pw4cPo3v37szjy8vL4eTkhJMnTzL/Tm5uLhwdHbFly5ZqzS0xMREWFhaYNGkSk96tllu3biEqKgpDhw5FVFTUK2ksoo1G//LLL6hRowZmzpyp92yqVCqsWrUKZmZm2D9zJuQDBkD9/vsAEfj69ZFfoX352bNnIZFImPSys7Oz0bVrVwwZMqRaDSuePXuGAQMGwNbWFpMnT2ZW4fnTqRikksk0Nvubb4C5czVNaf4kSktLcfToUaxdu1YwQpydnY3PP/8cNWrUMKk09ejRI7i7u6NPnz4mO+2lp6fD0dERixcvhlqtNrqeqtVqDBkyBEOGDBG8jx8/fgyJRCIYFASAvXv3onv37kwbpaioKMyaNUtwnHYsi0OuRXSeDaBUKrF8+XLdA3/+/HmTX9SZM2dgbW2NyZMnIzMz0+Timp+fjyFDhsDFxQU3b94U1G+8ceMGXFxcMHjwYGRlZQn2Xb937x58fHzg5+eHVatWMeXu3LhxA4GBgfjggw/g6+vLVG2em5uLnTt3Ytu2bdi0aRNzigoAow9SUVERJk2ahGbNmqGznR3kK1cC7u6aqCugibQGBwM7d+LWr81Vxo0bx5S3mJWVhQEDBqBVq1bw8/NjjkSHhYXhl19+gYODg2Ar1D9MWRlw/DgwapQmmtO2re6fijdsQNf27fHll1+ic+fOlaLa2rzBo0ePGrysNs/Z1IKSk5ODS5cumewGqHXIr1+/znS0pa18ZiEiIoKpa+azZ88glUqZNnfz5s3DwIEDBY1sYWEhXFxcmBoJafOvWSWWWBCd5+rz8uVLSCQSpup+QGNzunbtalSb3BCPHj2CVCqtVoOT4uJiREREoGPHjtXePN+/fx9BQUHgOA7dunV7pR1KAU161pIlSzB+/HgkVAhgVKS4uBiTJk1C27ZtYSWRoGzHDqBnT0D7OaekAF5ekC9disjgYHh7eyM9Pd1ksxqe57F582bIZDJcvXq1WjrRz549Q+PGjVGzZs3frX5TLdRq4OpVYNYsQCrVBDm0DvSpU8Dlyya7NlYkMzMTK1euxKJFi7Bw4UKjEVCVSoW9e/fi/fffR4MGDYy2mi8sLERkZCRkMhmmTp2KrdqUkSrI5XJMmTIF9vb2unQJYzYzNjYWEolEsNOk9rRmzpw5JscBmhMPiUQi6NsAmmfEwsKCSQXp4cOHsLGxYVrrtUo+LKfMWv5RzjMRzSKiZCJKIqLdRNSA5ff+LOeZ53ns27cPUqkU8+bNE3QiU1JS0LVrV/Ts2VMwCV7b8lkikWDfvn2CC/qLFy/Qq1cvdO7cmemmevr0KYKCguDl5cUUmVOr1Th48CCcnZ0RGBiI69ev4+bNm0yNJG7evIkJEyagTp06aNSoUbVyfIUoKirCwIED8dNPP8HT07PyAjJnDvDWW5rbk+PAt2mDTU2aoAYRFi5cyHTtHj164JNPPkFAQADTQ1WRP/1IsOLrT5jwW3S5Rg2N3NzixbiZlIRhw4ZBIpGgTZs2GDNmjO4Bl8vlGDFiBLp06WJygVm1ahU6duxo8sh53bp16Natm8n0oaFDh4Lnedy9exehoaEGx1Qt2uratavgBhHQbG4sLCyYIm179uxBcHCw4DgAGDlyJFN+dnl5Obp06YLly5cLjs3IyICDg4PJY83qIDrP1UOtVsPd3Z15A8PzPMLCwqoVVbpw4QLzgq5F23iiOg66Wq3GoUOH4Obmhq5du+LMmTPYv38/s63Jzs7GpEmTMHfuXKxatYq5qcufiUqlwrBhw9CsWTNYWVlVdmzi4oCPP9bYNSKUNW6Mne+9B5uvvhI8zUtLS4ObmxuaN2/OnGfO8zzS0tIQGxuLhQsXMtmealFBQx/79wPvvad7b/juO03xX4VA0oMHD7Br1y4cP34c169fN1hIr1KpcPLkSYSFhaFu3bpo2bKlwRbymZmZmDZtGiQSCSZOnIhNmzYZlGgtLi7GjBkzIJVKsXXrVpM29eTJk5DJZIJNXlQqFcaOHQsfHx/B762oqAiurq6CJ+qARhTA3Nwc169fFxxbXFwMmUzGVBisTddg6UYIAOHh4UaDT8b4pznP9kRU69f/n0FEM1h+789wni9fvgxHR0cMGzZMMOeloKAAI0aMYGqBCWg0dM3NzTFnzhxBEfPS0lJERkbC0tKS6XgxIyMDAwYMgKOjI1PyfGlpKZYvXw6pVIoxY8YgPT1d8HfUajUuXLiA4cOHQyaToXfv3jhy5Aiio6OZowJFRUUYP348Vq5ciYSEBCYjL5fL9SOMcjlw5ozGSFlYQP3994iLi8PYsWOR6+sL+PsDCxZoxpiITqanp/+9RZdKJXDjBrBmDdC/P/Dzz+Bffx0bp09HTEwMUmbOhKJ/f2DfPmTcv4958+bB0tISQUFBOHHihF6R6K1bt2BhYYH169eD53lcvXrVYKQqKSkJ1tbWaNq0KW7fvm10eh4eHvj4449N7uhbtGiBmJgYPHr0yKjzGhoaWqmAZ8OGDVi2bFmVj0JpMHIxfvx45jby/fv3ZypG4nkewcHBJgX2tahUKoSEhCAyMlLQeVEoFBg4cCD69esn+EwLITrP1WPevHmYPn263s/z8vIMfm/Tp08XzMusSExMDOzt7ZltW0ZGBrp164a+ffsy15YUFBRgwYIFOjvMclytpbi4GLGxsRg7dizs7e3x9ttvo02bNtWKkP9VZGRk6K8pPA/cvAksWAC1mxtKX38d1t99B1dXV6gXL9bkSk+ZAhw5oqc6ERcXh9atW+Pjjz/++wsueR549AjYvh0YPlzT9e+ddyDfsEHz73fuaJSONm4EKnx/KpUK165dw+LFi+Hl5QUiwldffVUpaKZUKhEXF4eQkBBIpVKMGDECly9fxv79+ysVuWtTCLt16wZHR0fExMQYrbsoLS3F3LlzIZFIsGHDBpPBoaysLAQGBqJHjx6CxerPnz+Ho6Mjli1bJmgXMzIyYGVlxZTjX1xcDDs7O700TkPwPA8/Pz/mQN2iRYswY8YMvZ+/ePFC7z3cvXsXHTp0qPQzbRdpU/yjnOdKEyDyJKJNLGP/iCF+/PgxfH19ERAQIJhLXDF6vHv3bsEb6cGDB+jYsSNCQkIEi8e0OdNmZmbYuHGjYAQuLy8PY8aMgbW1NWJjY5ki2WPHjoVUKsWyZcsEjz2USiUSEhIQGhoKiUSCQYMG4fTp00zR2ry8PJw/fx5r167FsGHD4O7uDisrK7zzzjv46quvsHbt2j+v8Kri59S9O9CoEXSRgBo1gICA3/591Spg3z6N0cvLYz5OY6a4WGNs4+KAZcuAIUM0iwYA1caNunmV162Le40aIaZpU7T/8EO88cYb6N+/PxYtWgR3d3e4u7tj69atBpVC1Go15s+fD3t7e13hx4ULF9CuXTu9sdo85wEDBoCIDEYzAE3xXMuWLfHuu++avI/efvttnUqBsVzTUaNGoXHjxroCoaysLHh4eOiNk0qlepu9goICSCQSXWSd53kcOHDA6JxZu1kplUp06tSJKSLI8zzGjBmDAQMGMEXBN27cCDs7uz+0sIvOMztXr16Fs7Oz3ndjTBpx/fr16Nmzp8H7ury8vJLcGc/zmD17Nvz8/JhSJniex7p16yCTyZgd1+TkZISGhsLKygrr169nep38/HwcOHAAw4YNg42NDZycnDBp0iScPHkSZWVlSEhIYLLL2lOjHj16YOnSpUhMTHw1knu/fnepqakonDgR+PLL32w2kebv2u9r/35g+3Y82b0bZ3fvNihp+oeQyzWO79mzwLp1wJgxwK5dmn979kw3J752bZS0aoWnDg4YY2mJJk2awNnZGbt27UJeXh6OHj2KcePG6Tr1DhgwANu2bUNqaiqWLl0KuVwOuVyOw4cPIygoCObm5hg7dixu3Lhh8N4sLi7GypUrYWlpibCwMJMR1PLycixcuFAn22bqO1Wr1Vi9ejWkUqlekxtDHD16FBKJhEkW8OHDh5BIJEwBRblcDnd3d5MShRWDElFRUUaL1M+fP18pMPTo0SNYW1vrpWDcvXsXHTt21Pv9Dh06VKoLU6lU8Pf3x+TJk02+B2N2+zfF6FdHTyLa9lddPC8vjyIjIyk5OZkiIyPpxx9/NDk+Pj6eJk2aRB06dKCEhASqU6eO0bGFhYUUGRlJt27dounTpws2Yzh79iyNHTuWrK2tKTY2lt544w2jY8vKyigqKooOHjxIgwcPpkmTJpkUa799+zbNmTOHXr58qWsgYUzIXKlU0tGjR2nXrl308OFDMjc3px49elBUVJTB18jKyqLr16/T3bt3KTk5mR49ekRKpZLefvttatWqFbVs2ZI6depELVq0oPr161NMTAy1b9+eatasSVlZWSY/k5s3b9KhQ4fI3d2dZDKZ8c/71/dSVlZGr69bp/lZejpRYqLmT9Om2jdHFBJCpFL99ru1axNFRBBNm6b5ub8/0WuvEdWt+9t/7e0po3Vr4nNyqN78+cTJ5UQKBXEKBdUoKKBSPz8qd3Cg2klJ9EGVZi7KmjVp3okTdLR+fXpfpSI7a2uq0bYtNZRI6KuWLcm9WTNKXbSIvrx6lW7fvk3NmzenFStW6DU2SUtLo7KyMnrjjTeoT58+ZG5uTocOHaKaNWvStWvXyMHBgdzc3Cr9DgDq168fjRo1il577TXKz8832ojgtddeozZt2phs8AGA5s2bRy9evKA33niD5HK5wXFNmjShGjVq0PPnz6lhw4b0/vvvU3FxMZWXl9Nrr72mG9eqVStycHCg2NhYat++PRER1a9fnzw8PCg6OpoCAwOJ4zg6fPgw7dq1ixYtWlRJ+P61116jZcuWUXBwMB06dIguXLhANWrUIIlEojenWrVq0caNG8nT05PeeecdMjc3N9oogOM4mjx5MkVFRVFgYCCtXr3aZPOibt260ddff00dO3akOXPm0M8//2x0rMgfo6SkhMLDw2nbtm2VbNi1a9fI2dmZAgMDK40/cuQI7dq1i3bs2KFnvx49ekRdunShZcuWEZGmaU94eDi9++67tGHDBqM28ty5c9SiRQvKz8+n8PBwat++PcXGxlLdunWNzhsAHT58mJYuXUr169en0NBQ+vnnn43a7fz8fDp+/DidPHmSbty4QfXq1SOpVEqenp4UGRmpdz9+8cUXdPnyZcrKyqLMzMxK/83KyiLVrzaP4zh644036NChQ/Ts2TN6//33qXXr1kbnrf2cmjVrxtQoSKVSEcdxwk04fr1Ww4YNqe64cUTjxhEVFBBdu6ax2fn5RNrPZsYMojNn6FMi+lTzJohkMk2DESKiMWOInj37zV7XrUvUqhXle3mRQqGgevPnU83sbKqhVFINpZK4khLi2rYlGj1a8/sNGhCVlemmxnMcnW/fnlbt20fpz5+TbatW9Pittyi/SRNq9Nln1KRJE8pITqZP5HKqW7cuLViwgNauXUs///wzWVlZ0bBhwyo1WVEqldS4cWMKDg6m1NRUsra2psGDB9PXX39t8KN5+PAhLV68mK5evUq+vr60f/9+o43HVCoVrVmzhtavX08BAQF0/Phxk37JnTt3aNCgQWRubk7x8fEmx6pUKpowYQI9efKEDh8+TPXq1TM6lkjTOCg8PJzWr19PX3zxhdFxhYWFVLNmTQoODiYfHx+jDdBiYmLo5cuXFBoaSmfOnKH4+HjatWtXpTEAaNmyZRQZGUlPnz4lIk3DpP79+9PChQsrNT65ePEiubi4UFBQUKVrHD16lD799FNq2bKl7mfz58+njRs30sGDB02+Z2P8Zc4zx3FxRPSRgX8aDWDvr2NGE5GKiDaZuE5vIupNRNRU6yBVg6KiIrK1taXZs2czdQoqKCignTt3MnXcKS8vJ4lEQjNmzGC6dk5ODm3atImpU5BCoaAmTZrQ8ePHmToFPXnyhMLDw+mHH34QHMvzPN26dYuGDRtW6WYyxoULF+jWrVvUqlUrsre3py+++MKko3Hw4EHav3+/4HWJNN2qLl68SOvWraOPPvqIWrVqRU2bNqXGjRtTkyZNdN26GjduTK+//jo5OTkRAKpduzY1btyYmjdvTs1btKDmzZvTF7m59O477xC9eEH08CFdi4mhywcO0Fvl5XTn4EG6cu0aNX/3XZpw9CjVBag2z1MttZpqKpWkfuMN6h0VRe+Wl9OShARS1axJypo1SVWjBpXWqUOHFQq6cOIEvVleThZt2tBzuZz2375NpY0aUdsOHWjs+PE0rGp3qQq8+eabNHz4cIOLmFwup3nz5tGaNWsoKSmJnj59SpGRkZW+ywYNGtD3339PLi4uer/fq1cvMjc3pwkTJpC/vz999tlnRufx6aef0vfff2/0fuU4jtzd3al37940dOhQGjVqlMFxvXr1ory8PEpNTdVtSOfNm6c3zs7Oju7du6fX9bJ///5079493d+7du1KMpmM3nvvPb3nqVWrVjR58mQCQG3btqXPPvuMPDw8aMaMGdSgQYNK133ttddo27ZtlJycTFFRUfTOO++Qv7+/0WcoPDycYmNj6dGjR4LPQps2bWjv3r2UnJxsctx/nT9qs4k0C1vVzq0PHz4kAGRnZ1fp5w0aNKBNmzbp2aSMjAyyt7en2rVr0//+9z/dz93d3cnR0dHg62ZmZtLw4cPp+fPndOzYMUpJSaHZs2cLdroDQDdu3KBnz57R8uXLmbrOPn78mFJTU6l79+703XffCdr5jRs36rrlNmzYkNq2bav7//fff7/S+7948SKpVCqd46HdPBCR7tl6/fXX6a233qK33nqLjhw5QpmZmfTRRx/RN998Q+3ataPmzZvTl19+SV9++WWlDXdycjINHDiQiIhatmxJbdq0oTZt2tDXX39t0FGbOXMmHT9+nN5++2364Ycf6Mcff6Qfvb2pSZMmpHvKDx0ievyYci5coB1RUfRmaSkVv3hB5wMCqFmzZtR77156LyuLavO8xjmWy4ksLWn5r4GdGYcO0TtlZaSoUYOUNWpQWY0adPHaNVp94gQBIM8mTaiciE6npNAdlYoatW9Pg0eMoElt2lCjRo0qOWBaduzYQe3atSOJREItW7Y0ubFQq9V09+5dGjt2rGDnWyLNd+/l5UVz585l8h1q1qxJ8fHxlQITxsjNzaUlS5aYdG61cBxH7dq1o8mTJwvOQ6lU0suXL2nXrl1GO3SqVCpauXIlxcfH09atWyk4OJisrKz0xuXn51NISAjFxMToHOK3336b1qxZo/c537p1iwYNGkQBAQG67wkAjRs3Tm9zkpeXR2+//bbea3722Wc0fvz4Sj8DQKGhodSmTRuT79sYr6w9N8dx3YkohIhsAJSy/M7vbfX6T0GlUpFKpWJ6AJRKJb148YJ58bl37x59/vnnTK2/AU37YkMtnf9uXr58SRzH6eZSWFhIaWlplJaWRs+fP6/03/Lycrpz5w7l5+eTn58fBQQEkFqtpocPH+r+5ObmEhHRRx99RPXr16eTJ0/S0KFDyc/PjziOo5cvX1ZqS679/5cvX9KNGzfo+fPnZGtrS/PmzTMZrcnPz6eCggL69NNPBd+jQqGg27dvGz31iI6OJn9/f5ozZw4NHjzY4Bg/Pz+KiIgw+aDb29vT3r179VqWVmTWrFn0/fffk729vck5W1lZ0fHjx02OSU9Pp379+tGePXuMjgFAd+/epXHjxlFMTIzRcTzPU1RUFO3fv5+OHDli8j6eOHEiTZ8+neLi4gxGoLVkZ2fTF198QV988QUdPHjQ5KZ1zpw5dPToUYqIiCB7e3umBa26iO25fz9qtZrs7e1p5cqV1LhxY5MRYC2XL1+mCRMmkJ+fH/n6+jK9zogRI2jGjBmUkJBgcNE3NK/du3fTrFmzyN/fn0JDQ5le51UDgMrLy6m4uFjXnjsvL48sLCyoZcuWlJ+fTw8ePKCHDx/SgwcPKtnVzz//nLZu3UqhoaEkkUgoOTmZrv56qqZUKql58+Y6h/rbb7+lq1ev6loqX79+na5du0bXrl2jtLQ0eu211+jbb7+lNm3a0I8//khNmzaluLg4cnFxIQD04sULSklJqfTn+fPnxPM81apVi0pLSyktLY0GDhxIPXr0MBk55Xmetm3bRjKZjJo0afK3fM7/dABQamqqyXUsPz+fVqxYQdHR0RQbG2vUb+B5nrp3707R0dF06tQpkslkRq9ZUFBAtra21KpVK9qwYYPJOc6fP58KCgrI3d3dZOYAz/Nkb29Pq1evpkaNGglmDbi4uNDx48cNbpwq8o9qz01EjkR0h4g+qM7v/dUdBp8/f47Vq1cbrGytiFqtxqVLlzBq1CjBSnylUonY2Fj07t0bXbt2FZRIOXfuHEJCQvDVV18J5nnm5uZi1qxZ+PHHH5kKZe7du4cJEybgu+++Y8rdKy8vx+HDhxEaGspczQpopHP+ijbHPM9j8eLF2LdvH1JTU43m7fI8jxcvXmD69Olo3749unfvjvXr1wvmtu7cuROXL1/+06Sjbt26hT59+uDDDz802kQkOzsbMpkMK1euNCrLduHCBUGd26KiIjg6OgrOaerUqYiPjxcc5+XlxVRI5eHhwVQE1bdvX6MyWBVZvXq1oLZ0ZmYmzp49C3Nzc8GK8OnTp+Pnn38WbE6kVCrx448/ol69eibltf4IJOY8/24WLVrEJIelJT8/HxKJpFpa3Tdv3oRMJmNSSdKSkpKCd955B+3atWNW9SktLcW+ffsQFBRUrUYhrxptE45169ahZcuWcHd3x4wZMyrZS7VajQcPHmDbtm0YPnw4nJyc0LRpU7zzzjuYPn26Xg1OaWkpLl68iKVLl6J37966TnY///yzoL2Qy+WIjIxEUFAQ5syZ8+/oQPg3kZ2dbfIevnfvHsaMGYMWLVogLi7O5LXGjBkDIhJsj33r1i1IJBKMHTvW5DiVSgV3d3ckJCQIdpq8efMmHBwcmJ6t1atXMykuAcCECROYCtEB43b7VTnPD4noGRFd//XPMpbf+6ucZ57n0bt3bxARBg0aJDg+OjoaRMT0pT579gwffvghPvnkE0GHUqVSITg4GDVr1mQSf09MTETDhg1haWnJ1BBk4sSJICLMnz9f8No8z8PT0xPEKA+nVCoxZcoU/PLLL8z6jIBmA3D8+PE/3mjkb6S4uBinT5/G/PnzjUok8TyPhQsX4rXXXjMq3l5cXAwbGxuTRp/nedja2gpKMR06dAhTpkwRnLu2AEmIKVOmMEn67Nmzh+l1MzIyYGFhIfi88DwPHx8fJgc/ISEBLi4uJgtn5HI5SktL4ebmJlhImJiYiDVr1sDKyopJnaa6iM7z7yM9PR0WFhbM2qw8z6NLly5M95CWJ0+ewMzMrFpqGGlpabCwsMCuXbuYCq20hIWFgYiYdOsrIpfLkZSU9IdVX/5OeJ7HokWLsHz5cuzbt08wIHT79m0sWrQIu3btwoULF/5V7/WvRq1Wm7Sfd+7cQWhoKFq3bo0FCxaYvFZUVBQ4jkNkZKTJcdHR0XBycsKGDRsEnXFt8xOhjefQoUOxZMkSk2MATfDOwsKCqe9CTk4OpFIp0/2SnZ0NS0tL5sZE/yjn+ff++Suc5/LycowbNw6urq7o1KmTyZtTrVZj8eLFsLa2xvDhwwVl2I4cOQIzMzNs375dUKv06dOnsLe3x6JFiwS1Lnmex/z58+Hs7IzExERBBYC8vDz4+flh+PDhOHr0qODNnZeXh549eyIkJARjx45lisLs378f33//Pb755humRipyuRwWFha6DYvQaxQVFSEhIQGrV6/GlClTmKKiPM8jJycHt2/fNvm9KhQK3Lx5EwcOHMCSJUtMOvJFRUVo3rw5iMioLFp+fj58fHwwevRoJCUlGXxvcrkcbm5uRoXvtcTExDCdKkRERDBppI4bN46plfaRI0eYdvEKhQISiYTJEE2fPt1k5ysteXl5MDMzE5RWAjQqGMZUFipSVlaGDh06MEUbrl+/DjMzM9y6dUtwbHUQneffh4+PD7P+LwAsXbq0Wo5pVlYWpFIpU4dWLTdv3oSZmVm12n8XFxcjNDQU3bt3x5QpU5gX75SUFPzwww+oW7eunhykyP9vbt++DR8fH/zwww8YO3as0XumpKQEo0aNwptvvokxY8YYvV5hYSG6d++OQYMG4eTJk0avx/M8Jk+ejB49egg6pFr1DZaOyOvXr0ffvn0FxwEaJzs6OpppbEhICJNsnva61elZITrPBjh//jxkMhnWrVsHnudN3iRPnjyBs7Mzpk2bJhgBKS0tRXh4OAIDA5naPcfExEAmkyEpKUlwbGZmJjw8PDB16lSmowxtVzqWI3PgtwYA2jbGQk7J48eP4enpiYEDB+Lly5dMEeSEhATY2trCw8MDo0aNYmrYcujQIdSrVw8ffPABk871tm3bULduXdSrVw979+41Ofb69ev48MMPUadOHaOC72q1Ghs3boSZmRmGDh1q1HG+ePEizMzMTB6FqdVq+Pr6CrYClsvlMDMzE+yuVlJSInj6oP23UaNGMTkiWVlZBuV+DDF8+HCmKF9ZWRnMzMyYugaeOXMGHTt2ZNq4TZ48GZMqtAk2Rnl5Oby8vLB582bBsc+ePYOFhQVTO29WROe5+hw5coR5sQU0zzLrMS+gcWitra1x8eJF5tdISEiAhYVFtaLU2tbVu3fvZv4dtVqNnTt3wtzcHD/++CM2btzI9HvFxcVYunQpZsyYgYkTJ/4lpygiv5/z58/D0dERbdu2xcyZM43eq+fPn0eHDh3wwQcfYPr06QZtIc/ziImJgZmZGbZt22ayAdrFixchkUgEO7zK5XL06NGDSQdfe2LD0tBE+75ZZBMTEhLg6+vLZP8vX76Mrl27Co4DNKm5dnZ21WqEJjrPFSgqKkJ4eDi6du0qmBPH87xOh5ElynDt2jXIZDKmJhDFxcXo3bs3+vXrZ1Drtyrx8fEwMzNjch4VCgXGjBkDb29vpkhwQUEBgoODERwczOTwl5WVYdKkSbC3t2fqdAhoHh5nZ2eEhYUhPT1dcEdbVlaG1atXQyaTYcSIEVi9erXJfFRtO1M3Nzd4e3vD3t7eaK62Wq3Gvn374OTkhICAAMybN89gRFbruFtYWGDq1KkoKSkx+OCp1WrMmjULbm5uOu1jQ/A8j/79+2Px4sWCzVvmzp0rmOsMAIMGDYKnp6fJMStXrkRhYSGGDx9uVAcaQKXjZ2Mtt6u+//v378PX11dwngCwdetWozqeVZk4cSLT8R7P8+jVqxdTm165XI5OnTphg7YBggkKCwvh5uYmdhh8RTa7tLQUZmZmzE2OCgsLdUfHLCgUCri7uwue/lQkOjoarq6uTDYS0NiwYcOGwdvbm7kOhOd57NmzB5aWlhg/fjzy8vKYX+/OnTsYPXo03n33XTRr1oxpU1BaWoqHDx8iMzNTTJP4nSxfvhxmZmaQyWTYsmWLwTXi4cOHGD16NCQSCRo3bmzQBvE8j+PHj8PJyQl9+vTB48ePjXa/vHv3LlxcXDBixAiTucNqtRrTpk2Du7u7oL+Tl5cHZ2dnpq6Bz549g0QiQXJyMvNYltNE7ckjS4M1tVoNa2tr5rTPfv36MaUtVkR0nn9Fm0ohVEAEaHLa3N3dMWHCBMHdkkqlwowZM+Di4sJkvK9duwapVMo0D4VCgVGjRsHHx4dpIdH2el+1ahXTDis2NhZmZmbMi8ihQ4d03Y1Yrn/t2jV4eHggKCiI6WgnMzMTEydOhEQiwaJFiwSLCl68eIHIyEiYmZlh0qRJukiLoe+ssLAQUVFRkEgkGD9+vMmUl4sXL8LR0REREREm00QyMjLg7u6OWbNmQa1Wm4z0TJgwARMmTMDJkydNtojOycnBt99+C3Nzc6NjAI2hqVWrlmDumraoJiIiwmSL1DZt2ugWUGNFg7du3dLLh3ZwcNDbpJWUlOhFw7U53CzPiEqlgr29PdOmVaFQwNXVlSkCrlAo0KVLF6YUEqVSiT59+mDMmDF/uG276DxXj9GjR+udEhQVFRkMBvA8D39/f4PNGIxtdv39/ZmPhXmex9SpU9GjRw/mhiOJiYmQyWTYtGkT073D8zz2798PS0tLjBkzhrkFd3p6OubMmQMrKyv06NEDcXFxSEhIEOyCyPM87t+/jxUrVuD1118HEcHf31/QwcrOzjbYwe2fTnFxMfMmJDMzE46Ojvjhhx/g5uam1xBErVbj4sWLGDduHKysrHTtxas2JCkpKcHGjRvh6OgIHx8fxMbGQq1W69k/nudx+PBh2NnZYcCAASadwcLCQgwdOhRubm6C4gZpaWlwcnLCvHnzBNOEUlJSIJPJmJzL9PR0SCQSptS20tJSWFlZMac4+fn5GbTjhu635cuXY+bMmZV+plarDX5+jx8/hqura6Wf3bhxQzAP/z/vPGdnZyMgIAC9e/dmMiobNmyATCZj6qLz9OlTODg4YP78+YI3KM/zmDdvHhwdHZkciJSUFNja2jI5wtpOWFZWVoIPFaB5CENCQtCzZ08mpzwlJQUdO3ZEeHg40/i7d++ia9eu6NatG+7fvy84/vbt2wgODoa9vT327Nlj8uhVu0Pv2rUrXF1dsXv3bpNpCykpKRg8eDDMzc2xdu1ak4oaycnJ8Pb2RmBgYKViBUPvIT4+HhKJRBfhuXfvHnx8fAxed9GiRQgNDcXLly/RqFEjk+kDAwcORKtWrfDVV18ZHQNocn6JyGAb44pIpVI0adIEYWFhJg1ejRo1MHHiRABAZGSkwTyyvLw81K9fv1K3pw0bNiAqKqrSuLKyMvj4+KC8vLzSz8+fP48ePXpU+pkxw/r06VPIZDKmk5mCggJYWFgwGWmlUglfX1+mdt48z2PGjBnw9/fXey/VQXSe2blz5w5cXV0r2byioiJYWloaLEZes2YNhg0bpvfzx48fY+vWrXo/j4iIwNy5cw2+dmFhYSUHWalUIiQkBOPHj2dyGBUKBSZMmAB3d3c8f/5ccLz2dMvKygojR45kqucoKCjAunXr4OzsDE9PT2zfvl3wGVGpVLh69SoWLFiAzp07w8LCAkFBQVi7di2GDBlisnC5qKgIV69exdatWzFw4EAQEerXr48JEyYIqhPFxMRg3bp1uHnzpmDKY1FREY4dO8Z82rBv3z6sXLkSV69eNRg1V6lUePToEY4cOYKZM2eiRo0a+OijjxAWFqbzA0pLS3H27FnMnTsXXbp0gaWlJTp37qw7ldSuAQUFBYiJiUFgYCBkMhkGDx6M+Ph4yOVylJSU6O5Lnudx+fJlhISEwMLCAlFRUUZPf9VqNXbv3g0rKysMHz7c5MaF53ls3rwZEokEe/bsEbwX9+zZA6lUylTMeunSJeYocmZmJmQymckgTMU5+/n5GU2drOq4bt68GREREQbHVQ12ZGVlQSaTVXpW1Wo1+vTpY/B0vnv37rh8+XKlazZu3FjwufnPOs88z2Pr1q2QSCRMbSpfvnyJjh07YuTIkUwL5aZNm2Bubs60YGsjlKz5ytu3b4e5uTmTTFxubi58fHwwYsQIpqO3hIQESCQSo22RK1JeXo7IyEjY2dkxPTCPHj1C9+7d0alTJ8E8bp7nERsbC3d3d/j5+VW6uQ2Nzc/PR1RUFGQyGSIiIgw6tDzPo7CwEDzP4/Tp0+jcuTO8vLxw/PhxPYNz+fJlXb5Weno6+vTpA09Pz0rfJ8/ziIqKQlhYmO5nSqUSo0ePho+Pj84I3717Fx999BGGDBmiN6fNmzfDz89P1za1Tp06RluWPnjwAE5OTggNDTXoEFQkNzcXDRo0MJkqAgCrVq1CSEgI+vTpY7Iw6ptvvkFwcDBUKhUOHz6MadOmGRxXv359WFhY6J6RkpISWFhY6H2+EokEDg4Oeg6Pj49PpY3pxIkTMXz4cIOL644dO9C/f38Amoj81q1bjS4caWlpMDMzw/PnzwWfA6VSCX9/f+YirK1bt8LBwYE5IlgV0Xlmg+d5ODg4VDqu1rag//bbb/XG3759G7a2tnoR4UuXLqFhw4Z6C+nMmTMxfPhwg6997dq1Srn+xcXF8PDwMCnTpVQqdRvJ27dvw8rKCitXrmQKdhw5cgQ2NjYYNmyYYFqHXC7Hvn370LVrV9jZ2WHp0qUmHe2ysjKcPHkSkZGRcHFxgZWVFQYMGICYmBiDTppCocC9e/ewf/9+zJkzB3369IG9vT2sra3h5uaGiIgILF++HIcPH0bPnj1x69YtXUF2XFwcoqOjMWvWLERERMDPzw92dnawsbHB119/jRo1asDV1RX79+/Hw4cPceHCBRw8eBDr16/HnDlzMHLkSAQHB8PT0xO1a9cGESEwMBBnz55FfHw8oqOjMXv2bERERMDX11d37e+++w5EBEtLS0ybNg1LlizBoEGD4ObmBmtra9jZ2SEoKAjTp0/Hzp074eXlheXLl2Pt2rXo27cvrKys4OjoiFGjRmHPnj2VTiJLSkpw//59zJs3D05OTroIrrFAUHZ2NhYsWAALCwv069fPZOBNpVJhy5YtMDc3x/jx4wVTK5OSkuDg4IDx48cLOnulpaXo27cv+vTpw6R6tWfPHtja2grefzzPIzs7G+bm5iZT//bv3687fZ06darRwvONGzciKChI9/enT5/C3Nxcz++6evUqPvroI736k+Dg4Eq1XGq1Gr1790atWrX0PqM7d+6gU6dOur8XFBTghx9+wKeffmryPQP/Yef52rVrGD58OFPkCmAvqAI0kcghQ4YwR6MmTZrEfO2UlBQMGDCASXM4JSUFM2bMwPHjxwXH3rp1Czdu3EBwcLCgE/DkyRPs2bMHS5Yswbp160xG1UtKSjB//nxkZmaiS5cugk7wkSNHsHv3bmzYsAHDhg0zKcV2//59DB06FOXl5ejYsSPWr19v9PtMSkqCi4sLXr58iZ07d2LAgAEGixlKS0sxbNgwtGrVCmq1GjzPIzAwUE93led5DBkyBERU6UE9cOAAVqxYUWmBTEhIQNOmTfUUHdRqdaVNzdq1a7Fo0SKjn/+BAwdw/fp1dOrUSTBHTC6Xo2XLlibHABpj0aFDB+zYscOkkUxNTdUVX2RlZRktatyxYwfc3d0r/WzFihV6KTYjRoxA48aN9RaclJSUSpH3O3fugIjQvXt3gxvLadOm6RYCJycneHp6Gk25SUpKwrp163Djxg306dPH5MZCpVJh+PDhuHz5suCJFKApZDSVbmMK0Xlm48WLF3onAto0JkObyZUrV+qlg5WXl8PKygrvvPNOpQ1ZSUmJ0RScNWvWoG7dupgxY4buZ1u3bjWZznbp0iW0adMGly5d0i3eQsfAgKawcc+ePYiIiBDc+GoJCgrClClTmK5/6dIl2NvbY8yYMTh69Khg0fGgQYNgb2+PPn36YO7cuThw4ADu379vMEXl9u3bsLGxga2tLTp37oywsDBMnToVa9asweHDh3Ht2jW8ePFC9xz36tULUqkUtra28PLyQu/evTFq1CjMnTsXGzZswKFDh3Dp0iU8fvwYSUlJ+OKLL/DLL7+gU6dOCA0NxZQpU7BmzRocOnRI79rh4eGQSCQIDAzElClTsH37dly7ds1gql9WVhasrKwQEhKCtWvX4vbt2ybXtLlz5yIwMBA7duwQtA1FRUVwdXXFpk2bmHyNJUuWYNq0aUxpJKWlpfD392fWn1+zZo2gLKeW3NxcDBgwwOScFQoFoqKicPDgQWzatMnoCUVOTg78/f0hlUoB/KZkVvVZ43keEyZMABFVSluNiYnRC7YplUq4ubnh9ddfr+QLKRSKSs8poNks2tnZGaz/2b9/f6UTV57nYWNjwxQ4+c86z9XFWEFYVXiex4ULFwTzcQHNg7V06VKm6PTTp08xePBgrFu3TnDs7du34efnhwEDBgiO1aZQ/PTTT4KpJS9fvkR4eDjefPNNwXQLnuexfPlyNGrUCKNGjWKah42NDT744ANBg65UKjF06FDUqlWLqdJ869atqFmzJpNW95YtW5g0rLWasT4+PoKnBf7+/rh06ZLgZsrR0ZGpiNPKykpwDADY2toyjbO2tmYax6qp6+fnJyjvlZ+fj0WLFgnqjgKaVBV7e3vBz/nQoUMgIqP62RXx9PRE/fr1BTWrMzMz8dlnn+kKtP4KROf59xMdHY2pU6cy5xtrj5aFJEIrMnPmTHzzzTfMxUcPHjzAm2++yfycApooWocOHRAQEMD8O4Bmk2yscExEpCJ5eXmCz0laWhqGDh0qmO6XmJiIr776Ci1bthS0y0uWLAERYdu2bYJzDAoKgqurq+BaqW12ZCoYpyUpKQne3t5MJ+/Hjx9n8psA0Xk2iUKhwMGDB+Hj4yN4M5WVlWH+/Plo3bp1pWN8Y6xcuRJvv/02vL29BcdevXoVderUwU8//SR4oxYVFeGLL77ABx98wHSMPGDAAHAch9OnTwuOvX79Ot555x2m96ftFtSsWTOmyF18fDwaNWrE5EwVFhbC2toalpaWgp+HSqWCr68vHB0dBaWZiouLYWVlhc2bNws68GvXrmWS07t69SqT4sSTJ0/QuXNnwXH5+fno0KGD4DiA3Xm2sbFh0pYdOXIkU9HIxYsXmWTElEolZDKZYC6nNj1G6BlUq9W6Ig2AqC0AAEJCSURBVFchjfMbN26gTZs2gl0LAWDevHkgot8dWRZCdJ5/H+Xl5ZBIJMyNlwBNfiOLrdNy4cIFuLu7Vyunffz48RgwYACznKFSqYREIsFbb73FlAsNaGoBBg4ciM8//7zaznNRURGzlrTIP5v09HSTgTqFQoEDBw7A29tbl+JmjKdPn6JBgwb4/PPPBaPkmzZtQvPmzQX18bOzs3VpoEKO+/bt2xEWFsZ0b/bv399oemNVOnTowFTrBQCurq6Cjce0iM6zCU6ePImaNWsyOWnPnj3Dt99+i6+//lrwxsvIyICdnR3atm0rmE9UWFgId3d3+Pr6CuYVq1Qq9O7dG5MmTWLSDV25ciW6dOnCJHF39+5dSCQS3LhxQzBlQKVSwd/fH8uXL2fSEj158iRsbGyQlpYmuEgVFxfD3t4e8fHxgg4uz/MICQnBkiVLBB9ItVqNzp07M4mkP3jwAFZWVoLGgOd5ODs74/Hjx4LXnDx5Mvbt2yc47sSJE8ySbqzOc0BAAFNU7cyZM4K51hVfm2XzduzYMYSGhgqOU6vVBqvbDXH16lXY2NgIpjbJ5XIMHTpUsOmLQqHArl27YG5uztS+vrqIzvPvY/78+VixYgXz+NjYWPTu3Zt5fF5eHiQSCbOUHKCpIejTpw+z4gTP84iIiMCoUaOY0uu0jBs3DhzHMckwApp0qMjISJibm2Py5MnMr1NxniJ/PeXl5bh06ZLJtS0/Px8jRozA999/j169epn8bh49eoQGDRqgVatWJnX0y8vL0a1bN/Tq1UtQXWvHjh3w8vJCfn6+yXVVoVDA0dGRyb/Q5jWzpKNevHiRWb/5xIkTzHrwV65cQc+ePZnGAqLzbJQ9e/ZAJpNhyZIlgg6gtsju5s2bgkV82i5lV65cEXT+nj9/rmvIwNIprXPnzszRsXnz5iEwMJDpGF7bm56lHabWcWZd1E6dOgVra2um6HRJSQmcnJyYpfNGjRolKNWmZeTIkUztyRUKBWxsbJhUQo4cOcKUKsLzPKRSKdPR87x585hkDAF253nSpElMC7dKpYKFhQXTNbdt26YnFWQMDw+PSgodxnj+/DmkUilTpDEmJgYBAQFMxVl9+/bVUwQxRG5uLmxtbaul/8uC6DxXn/z8fEilUubW3KWlpZBIJMxFnTzPw9vbu1oO7aFDh+Dh4cE8J5VKhV69ejE/J4DGBvbo0QNDhw7F6dOnmVMJV6xYgdq1a6N79+5Mv5Oeno4xY8bA3d0dffr0Ya4NEvkNtVqN1NRUJCQkYNOmTSbTBnJycmBhYYHatWsbLcYGfmt+0rRpU9jZ2ZlcM06dOqXrZGwqNTQvLw9OTk7Ytm2b4L2xb98+ppMYnufRp08fJt386kiPKpVKWFhYMAXleJ6HtbW14Cmkls6dOzNHqAHRedajvLwc4eHhCA4OFlykeZ7HzJkz0bFjRybnb/fu3bC2tmb64m/evAmJRMLUXbCgoACOjo6IiYkRHMvzPCIjI9G/f3+m45Hr169DKpUyyecplUp069aNSeYLAE6fPg1ra2umXNKysjJdVTYLs2bNwuDBg5kWivXr1yMkJIRp7NixY7Fq1SrBcSqVCubm5kzyUufOncPAgQMFxwGoJJFkCrVaDTs7O6Zrbt68mfk78/X1ZXp9bXtuFkfi3r17cHNzY/r8d+7cyRSpBjSbgqrFI4ZQq9UICAhganpSXFwMV1dXpmZHrIjOc/UZM2YMc/EToNlIC3XurMiSJUswYcIE5vFXrlyBlZUVU5dMQHPq0bVr12pFzu/fvw9zc/NqdSO8e/cuHBwcMGnSJJw9e5Zpg56Xl4fx48fj7bffRocOHZiigU+ePIGbmxt++OEHhIWFCTrb+fn5ePz4MW7cuIGLFy++0jQShUKBvLw8pKWlCWpZnzp1CqNGjUJwcLCgTOy+ffvAcRw++OADk01prl27Bjc3N7Rt29bkKVhaWho6duyIoUOH4uHDh0Z9DrVajalTp8LLy0uwhiY1NZVZw/nIkSNwcnJi2khFRUUZVa6pSmRkJBYtWsQ0ds6cOcxjt2/fjnHjxjGNvXPnDrp06cI0VovoPFfg/v37sLS0ZDKyhYWF8Pb2xtSpU5k0nKdMmYJu3box3XhxcXHMbV4zMjJgaWnJ1Gab53kMHz4cw4cPZ3JUtGL+LM6+UqmEn58fk2MJaFIArKysmBxnuVwODw8P7Nq1i+naq1atQlBQENN7PHXqFJydnZkWFa28Hc/zgt/52rVrMWPGDKZ0iN69ezMtoqmpqWjTpo3g+9Lqobq4uJgcp432Xrp0yaShqxhliI6OZuruBwDTp08XzInTMmjQIKaUGQDo2bMnU74bz/Pw8fFhSodRKpXo3Lkz03zLy8vRuXNnkzJl1UF0nqtHeno6rK2tmVMJbt68ybw5AzTOjKOjI3Mr78ePH8PMzIxZHaOkpATu7u4GdaaNsXPnTlhYWDC1OwY0wYaxY8fC2dmZ6ZQM0ARhJk2aBJlMhpiYGFy9elXQLhYXF2PFihWwsLDAp59+iilTpgh+zkVFRRg6dCiICJ999plJHWlA8xwHBwfju+++g0QiESz2vHXrFtq3b48ff/wRQ4YMMbnmZmRkoHXr1iAi2NjYGF3r5HI5tm/fDjs7O9SuXRsTJ040uAbwPI/4+Hi4uroiICAAYWFhRr+zlJQU+Pv7w9fXFw8fPjSqsKFWq7F48WJYWloKpq1lZmbCzc0Nc+bMEfwebty4AYlEwiR5Gx8fD3t7e6bN4dGjR+Hl5cW0ITp//jw8PT2Zns2nT5/C2tqa6bnUBm+ETve1BAYG4urVq0xjtYjO869s2rQJVlZWTMUXd+7cgUwmM9gooiqlpaXw8/PDtGnTmKOgbm5uTFI1jx8/hkQiYcoDVavV6N+/P1NfekDjUJmbmzMtCNrGEqzOxNmzZ2FlZcV0hKpQKNCpUyemSl1Ac1zfuXPnShFPY9HPR48eQSqV6uZx//59ow+mtro3OzsbT58+NRn90bYPTkxMFMwRLisrQ+vWrZnysmbNmoUvvvhCcNzQoUOxbNkyeHh4mBwXGhqKxMRE5ObmVtKwrcrcuXN1ee7Z2dl6UnRabt68WWmxzcnJMRj9NnT/5eXlMaeuaNsts+SilpSUwNLSkulIsLy8HG5ubkwa50qlEj169MC8efMExwohOs/VIyQkpJI2P8/zRu22Wq2Gra2tXt2BsWNnrW40a+FednY2pFIps4Oan58Pe3t75o2iQqHA4MGD0atXL+bUidjYWEgkEkRHRzPZ+sLCQkRGRkIqlWLbtm1MTs+9e/cwYMAAWFhYYPny5SguLjYZ7NEW3/v5+cHW1haLFi1C7969jQZPeJ7HpUuXMGzYMEilUtjY2MDJycmoc1tYWIgtW7agc+fOsLGxQYsWLbB06VKD71/bSMbFxQVubm4IDw/H9OnTDb7ve/fuYciQIZBKpZg5cyYyMjL0ZEsBjT3YunUrLC0tERERoSs6M/T6WVlZGDhwIJydnU3qIgOaAIednR1mzZoleIqnTdMQ2owAmgCdpaUlU2Ds9OnTsLGxYfJJkpOTYW5uzuS0FhQUwMzMjLmmwMvLS8/BNfaZLFq0SC9CbawQUHtqUhGWYOR/3nkuKSlBUFAQBg4cyFRRvWPHDlhZWTG1k37+/Dmsra2ZclR5nsfEiRPRq1cvJgciKSkJZmZmTEZbu9Cz5PQCmjQCCwsLpn7zWsfZ2JF3VeNx/vx5WFpaGnScqz5ESqUSPj4+eq1yi4uLDRYhHDt2DM7OzpW+x3379hnMW8zPz4dMJtMtui9evIBMJjP8JgF069YNcXFxkMvl+Pnnn00eGU+bNg3r16+HpaUl+vTpY3QcoDla+vzzz5nyk3/44Qc0atRIcJyNjQ3atm0rqOSi7ZqlzQ0zxtixY9GhQwfdd2lra2twIT948KBeAUufPn30IkVlZWWYMWOG3r2xdOlSvXvUmHE/e/YsOnbsyOQcaBuksDrbDg4OTMZTrVZjwIABzB3mjCE6z+zcu3dPT21mypQpRttpL1u2TC91JzU11WDRHM/zCAgIwOHDh/X+LSEhQW+hLi0tha2trVGN/qrrifaUkOWIHNDct3Z2dkzt4rXX9/f3R3BwMJPkZVFREaZNmwapVIotW7YIRvSUSiV2794NZ2dn+Pr64syZMybve57ncf78eYSGhkImk2HSpEmVorBVf1etVuPs2bMYNGgQpFIpBgwYgFOnTkGlUiEvL09vfG5uLtatWwcPDw/Y29tjwYIFupO+qu+/tLQUO3bsQKdOneDg4IClS5fq1reqTnNpaSk2btwIBwcHdOvWDSdOnDD6PouLi7Fw4UJIJBJMnz7d5ElqcXExpkyZAktLS8HAm1YL2cXFRVDHuTppGoCm66u7uzuTg3vhwgVYWloynRDn5ORAIpEY9Y2qrhkBAQEGpULPnz+vF+HevXs3Bg8eXOlnZWVlGDFihN7va4MrFf2oxMREo8XCoaGhlTZEK1asYFIU+087zzdv3oRMJjPaIrIiWm3h4OBgphywS5cuwczMDDdu3BAcq1Ao0KNHD+ao8OnTpyGTyQSjIzzP63LrTKVTlJaW6pzZU6dOwdLS0uhDeP/+fV2rTq1za8y479mzp5Jck/ZBrHptbUOKipsMlUplMA81IyMDP/30k57c1Pnz52FjY1NJtmfXrl2oU6eOnqOuVCrh6uqqi14VFhbixx9/NOpARkdH67oDzpgxA0SE+Ph4g2OzsrJgYWGB27dvo2nTpoIPoYuLC2xsbNCrVy+T47SyblZWVoIRiP79+8PNzU0wh0t7FJqWlmbyGHzq1KmoW7cu4uLiAGicFUORs+TkZBBRpSLN27dvo1u3bnpjf/nlF730IaVSCXNz80qbtu3bt2Po0KEGF/aq+edbt241uvG8ePEiHBwcIJfLoVAoTH6GBQUFsLKyYorg8Dyvkyb7vXmbovPMjre3d6U6kDVr1oCIDOq9pqenw8LCotI9kZqaii+++MJg3uTatWsNpi+tWbNGb3OrUqnQuXNng2uHWq1GZGRkpU1jamoqpFKpyUhjxdORuLg4nbqREGq1GitWrIBMJmOS4SsuLsbMmTMhlUoRHR0t6DS/fPkSkZGRkEgkiIyMFMwLvnfvHsaNGwepVIqBAwfi8uXLRm2LSqXCiRMnEBoaColEomsHbuxZysjIwPLly+Hi4gIXFxcsW7bM6HwUCgUOHz6MgIAAWFlZYdasWSZlyJKSkhAWFgZzc3MsWLDApCOamZmpe4+rV682GXhTKpVYvnw5JBIJNm3aJGgnTp8+DalUivXr1wv6A9VJ09CmjwYFBZkM0Gmvk5iYaLJup7CwUPfcKRQKODs7G1QjksvlCAsLq3Q6FB0dbbDd9p49e9CuXTu91zEzM6u0tpeWlsLR0dGgOsb48eMrnVTfv38fH3zwgcEaBq3ymZaEhATUqlWLqYj3P+s8X716FXZ2dsyafsHBwcxFVXfv3oW9vT1TpCsrKwuhoaGCzT6USiX27t2Lx48fw87OzmTKw7NnzxAREYHy8nJERERU6thWlePHj8PCwgJyuRwvX76Era2twV0mz/NYsmQJPvvsM52hGDdunMGmLXK5HAMHDsTbb7+t223m5eXB2tpa70HUVvq+8cYblXamM2fO1OvyU1JSAqlUinr16lV6+EtKSmBjY1Pp2kVFRfjf//6HVq1a6c1vwYIFlZzyzMxMtG7d2qAEXFlZWaVo9p49e9CvXz+j3bzmzp2LY8eOQa1Ww8LCwuRRa0lJCQICAtCtWzem/PYOHTpg7ty5guNu3ryJoKAgwZQRlUoFS0tLAJqOXMbuqXv37sHT01O3Wbtx44bBwpby8nK0bdtWT//az89Pr/h2yJAheO211/RSjuLi4ioZrsLCQtSpUwdOTk56kRKFQgEXFxfdtefOnYuffvrJ6GnMpk2bMGvWLPA8j+7du5t0jrOzs2FjY4OMjAwmxYW5c+cyFScaQnSe2Xj27BmCg4N1f+d5HqNHj0bz5s0NHimPHDlSLyo8c+ZM1KxZU6+Aq7CwEC4uLnpOhbbxTlXVnkWLFhnM/c/NzYWLiws+++wz3TOgVCphZ2dnNLc0MzMT3t7euusdPHgQ3t7eJovQVSoVNmzYgJKSEnh7e2PatGlMTSAuXboEiUSCDRs2MBXzDhkyBC4uLti9e7fg+Hv37sHKygoBAQE4duyY4Pjp06dDKpVi5MiRSExMNOn8PXv2DI6OjujQoQPWrl0rGGFdsGABpFIpJkyYIKigkJmZCRsbG/Ts2RPnz58XdEIXLVoEOzs77Nu3T9AR1qrCzJ8/n+lke+HChfD392fyHYqKiiCTyZg2+RkZGZg/fz4mTJhg8v2dPHkSS5Ys0a2pxtI2T506hc8//1wXSJs/f75BX+D58+eQSCT48ccfdT+ruqZqOX36NGrXrq2nUBUVFaV3en/o0CHUrFlTz0fQ1kdVfI/x8fFo0qSJwdTPpUuXVgoE3bp1C2ZmZgZPn6ryn3WeVSoVs6TQzZs3mdIjysrKsGzZMhw5ckQw9eL+/fvw9/fHypUrBXeBe/fuRcuWLbF48WIAxvN8eJ7H7Nmz8eabb+qOv029x7Vr14KIMGXKFN3PjI0/ceIEOI7D0KFDBcempKTgww8/1NsVGhpfXl6O9u3b6+X8GhqrlZsy1DqzavREe0Rq6HurOvbQoUMYOXKk0QhMRQPZqVMnk0WA2of22rVrCA8PNzquIqzFTwsXLmSqtM/OzmZquAJoIt8s3TC3bNnC1MBG+x0JRbNu376NYcOGGUx/qfpZ9O3bFzKZzOBzUvG7ycrKQu3ateHm5ib4XW7atAkcx5lsdKO9RmBgIBwcHAR11lntSVVE55mdit8Vz/MwNzc3uukz9L127doVsbGxBk8PDTlC69atQ0BAgN4mz9j99fDhQzRt2lQvgm3s3igqKkLbtm3x9ttv655DhUJh0h4cO3YM3377ra4TGstJaFZWFsaPH4/ExMRq3aesRZCAxpZXp2FNTk4Oc7qTQqFgyrnVkpubWy2t7epcm8VeVqQ6nwnLdwloPuu9e/cK5sE/f/4coaGhGDVqlEk/IzMzEz4+PqhVq5YuMGTsPnny5AkaNGhQqYOmsefh5s2baNKkiV6DK0PP2v79++Ht7V2pngEw/BxPmzYNK1euNBh0qjp+yJAhOHbsmNHNZcXxw4YNM3qqXJX/rPMsBM/z2LNnD6ysrGBubi64w4yPj8eHH36Idu3aCToOKSkpqFevHr799ltBQ1ZUVIQWLVrg888/F4wsqNVqdOzYEa1bt2aS2fPz84OnpydTh7eePXti9uzZTJuI8PBwbNmyhSmqP2rUKKxfv54pajJmzBijuY1V6devH/ND4ODgIHgUCWicUmdnZ6Zrzp49mykdCGBvjz1nzhymQiOe52FjY8N0zQkTJjDl9xYVFTFL302cOJHJydfmpglFZLTHnpMmTRK8ZkJCAqysrAR1o5VKJRwcHODs7Cx47z19+hR169aFi4vLXyKpJTrPv4/9+/djzJgxzOMvXbpUrfbX2mJA1u6CWnWX+Ph4Zj3pK1euwM7OjvlUk+d5eHh4oEGDBkw2C9BsAF5//XXm965tCuTm5sZkG7Tk5eUxpZn8l9AWswo58iUlJdi0aRPGjh1r0n/Iz8/HuHHj0LBhQ0Flq7y8PHz++ed4//33BXOWnz17htatW6NHjx4mxwHA4sWLERYWJpi3rW1sdfnyZcHNSXFxMczMzJg2MZmZmbCwsGCyxVlZWczBqZKSEpibmzNvukTn2QgKhQJeXl5o0KCBoAKHUqlEr1698N133wnKnahUKvTs2RNhYWGCzp1arUavXr2wePFiwR7uPM+jf//+WLhwIVNy/9ixYzFz5kymG2Xx4sUYNWqU4DhAk9hf8WjVFOfPn0enTp2Y5nDnzh04OzszjU1OTmZuYX3u3DnmDkQLFy4UTK/R4urqyqT9nZ2djU6dOjFdc9q0abq8YyFYnecjR44IdtjT4u3tzbQhysrKYm7QsnLlSsyaNUtwHM/zcHNzw7Vr1wTHPn36FBKJRNAQy+VybN26Fd26dRM0xGfPnkXPnj2ZNUarg+g8Vx+e52FnZ8dcqc/zPJycnIymWxkiKCioWs7junXrmDtwApqoYHUk7gBNqsOgQYN0x+VC5Ofnw8nJqVqvM3/+fBCRwZxUQxw9ehSOjo74+OOPmT7fkpISHD58GBEREUwpB4CmDuHw4cPMG4aioiJcvHiRab0oLi5GXFycoG1TqVS4ePEipkyZIhgYefjwISIiItC8eXOD6QwVycjIwMcff4z69esLFgfev38fzZo1g62trWCx5sSJE9G3b1/B18/OzoZMJsPt27cFN30nT540ebJXkQULFphs+FKRIUOGMOu2h4eHV6qlMsWYMWOYe0OsWLGCuckcIDrPBsnNzYWzszPWrl0rqIFYVFSky8MSivbK5XJ06dKFSQtZrVajT58+TEflgCaCyCoIvn79evTu3Zu5ONHd3Z3pYdG22GQ5ptLmL7MYdJ7n4eDgwCwH1bFjR9y6dYtprJeXl6DB0mJtbc2kcymXy5md1/Pnz2PkyJFMYydOnGhQJskQNjY2TN9vbm4u80Zjx44dmDNnDtPYvn37MrVl1XYtZHGCnj17BnNzc6ZTitjYWJ0mtxBz5sxhcnrUajV69OiBpUuXCo6tDqLzXH1OnjzJnBYFsHf71HLq1KlqRakfPHgAS0tLpnsT0KQ3WVtbVytSO3/+fPTt25c5MqbtUHv8+HHmdIBNmzbB2toa06dPZ4q45+XlwdfXF++99x7zRsPX1xdExNSEpqysDB06dECNGjWYThmuXLmCNm3a4K233hKsVVAoFPD19UWtWrXQv39/wc91woQJICJ06dLF5Gab53ksX74cr7/+uuAGRCsT2rVrV0GN+ePHj0MqlSI5Odmk2hfP8xg6dKjJlDQtRUVFsLa2NqoYUxFtUILlVCUpKQkODg5MfsP169eZtZ4fPHgAV1dXwXGA5t60sLBg7sJpbm7O3OQIEJ1nPZKTkyGRSJiqljMyMmBlZcXUrre0tBQeHh5Mwvg8z6Nfv35MxWGAJjLcr18/ppvkxIkTBgtjDJGWlsb8sCgUCtjZ2TG1WQaAsLAw5qYna9euZTqyBzSLnpByhZbbt2/D19eXeSzLkZZ2DqyR+g0bNjB1tgOA0aNHMxk5APD09GSKfANgNjDaIhIW7t+/z5x3HR8fzxz9X7duHUaPHs00dtq0acxFfAMHDsTChQsFx6lUKnTv3r1aEQohROe5+ri7uzN1ugSgK95l6fYJaDa/MpmMOVKrUChgbW3N3NpXmzLHImGqZfny5ejZsydz2tCdO3dgZmbG1KEW0Lzn0NBQ9O/fn3kDcOzYMZiZmSEuLk5PR9sQT58+hZeXFyIiIjBx4kRBm5Oeno7u3bvDysoKoaGhguO1ikstWrQQTG/LyspCnz59YGNjI3jylJeXh759+8LHxwdDhw41ual49uwZ3N3dMXHiRFy/ft2k83jhwgWYmZnh5MmTgt/rqlWr4ObmJmjT1Wo1+vXrx3SaWF5eDhcXF4NycVXR6uWzrO9lZWWQyWTMnXBtbGyYpH8Bjbwq64YzMjKSuRNsQkJCpXouFkTnuQLHjh2Dubk509HT/fv3mRuUFBYWwsnJianTGc/zCA8PZ5JKATSFXL6+vszC9jKZjMmpKi8vh42NDbPxHTFiBHOTlPj4eOaoTlZWFnPeoVavmEX4HQC6d++O69evg+d5QcM8bNgwnDhxgikna/z48cy52X369GHaqN25cwcRERGCaUGZmZkoLy9Hv379cPfuXaPj1Gq1bpEMDAxkWvwATcEV69F3x44dmTuieXl5MZ0W8DwPLy8vwS5j2rGdOnViyn1Xq9Xo2rUr09GhSqXSFfv+GYjOc/W4evUq80YW0MhisaYmARppxup8t6NHj2burApoFvXqzGf9+vXw8/Nj7nh49uxZyGQyZiWpZ8+ewcbGhtlmFRcXo3///ujevTtTiqBCocCsWbNgY2MjWHQLaNae6dOnw8rKCmfPnkVZWZnJ9S01NRXdunVD9+7dkZaWZnKTpFAosGDBAshkMsTHx+ukKw3B8zw2bdoEiUSiC5AZWyd4nse6detgYWEhmFqmLex3d3cXPHFTqVSIiIhAWFiYYH2UUqlEYGAgoqKiTI7TXrdr165Mzcd4nke3bt2YN3sDBw5k6tIMAEuWLGFK2wM0m6PAwECmsVolEtbNppeXV7VSugDRedaxaNEieHp6MguHS6VSJocjNzcXNjY2TLmqPM9j0KBBzIb16NGjcHV1ZYoUZGVlQSKRMN8gwcHBzF39jhw5gm7dujFFL7Wd+liMLgD06NGj0vGbKed127ZtutQVnudNaqo+ffpU11Vo69atJuejUqkglUqRkpKiVzVsCFtbW8HW2Fo++eQTpg3KlClT4OHhIehgHjlyBMuXL8fkyZNNHqMWFRXp3suyZctMyhlWjEzs2rXL6Mau6gnF2bNn0b9/f5Pz1XLv3j29Lk/GePHiBaRSKdNRtFYqisWRKCsrg4ODA9NmRqVSoVu3bn9Ki27Rea4eXbt2rbQxNGWHy8vLIZFIKqWSFRcXG7VVjx49gq2trd6ia2z8iRMn4O3tzZxKsWvXLvj7+zOP37p1Kzp37sx0UghopDTt7e2ZmmUAmkCGRCJhDpKcP38eEomEqSBYO97CwgJLliwRdP55nse+ffsgkUiwevVqQcenuLgY48ePh62trZ70oCFiY2Mhk8mwcOFCJtk9Z2dnjB07lknRwsPDA2PHjhVci7Ozs+Hp6Wm0o2FFCgsL4enpqVPZMoU2JZTFHvE8jz59+jCnn82aNQsTJ05kGnv06FHmwNiLFy9gbm7OdG9raxyqKl0ZC6rNnj27Un1SeXm50U3V48ePK3XYzczMZFov/vPOs0KhQN++fTF8+HCmnf2+fftga2vL1H3v5cuXsLCwwNmzZwXHavOUWG/SCxcuwNramkk2p7y8HPb29sxH/suXLzeaA1r1Zk1PTzfYQz47OxsvXrzQ+/2ePXvqVelq9UqrcuLEiUo7zby8PKNdgsrLyysJqS9cuNDkjnbAgAE4ceIEXr58iffee8+kU37kyBGMGzcOfn5+gk1PioqK0KZNG9SqVUvQKBQWFqJGjRpMER9HR0d8+eWXgnnfS5Ysweeff47ly5dj06ZNRsdlZGTgjTfewNOnT3H9+nWT+aOOjo66rmhlZWWVJIoqEhMTo/eatra2Bo2WoQjvwIED9fQ1CwoKDDoaW7Zs0TWuEeLWrVuwtrZmOr3Izc2FTCYTrHUAfuuuydoBzhii88xO1XSg1NRUeHl5GR0/b948rFixQvd3hUJhNK2L53m4u7vrtXLftm2bQWc0NzcXZmZmev9WUlJi0KG/du0abGxsDG76DDlze/bsQYcOHZjTKJYtW4bOnTszbSrVajWmTZuGTp06MZ1EyuVyjBw5Ep06dWJKZ8nLy0NISAj8/PwMrgNVuXv3Ltzc3BAREcGUmrBx40aYmZlh69atghuRx48fo1OnTujbt69g6k5ZWRnGjRsHJycnwaJMnucRHR0NmUwm2GYb0AQTzMzMDDYSqcqTJ09gbm4uqGgBaFJCO3TowBztHT16tJ5uuTGOHDmCTp06GXT0q/pLWVlZBhUzVCqVwboiX19fvYLRW7duGYzc79mzR682aMmSJQbTSLRyqdpnSqvrb8whjoiI0AXoVCoVbG1tmQKj/2nnOScnB05OTli/fj3T+GXLlqFjx46CO1FAcxQmlUoFj9kBzZc7cuRIjB07VnAcoDnCl8lkRg1BeXm5zsDxPA9/f3+juT9XrlypFMU5d+4cXFxc9B4MtVqNUaNGVXLeVCoVnJyc9N5jamoqfvzxRz0jvm/fPvTr16/SzzZu3IhvvvnG4HuQSqW6TYpcLoeVlRX8/f0Nvo958+bp9J/PnTuH2rVrG3VqtA0w1Go1OnfuDCIyeeLg6+uLuLg4vP/++0ZfX8uhQ4cgk8nwwQcfmEybAIAzZ86gbt26ggoOarUaZmZm+OijjwSVXyZMmICGDRti1qxZmD17ttFxKSkpICKEhIRApVKZlMvz8vJC48aNdfebn5+fwXSMq1evok6dOpV0Onft2mWwFbKXl5fe/LSOa0VH4smTJwgKCtJzIHieR5cuXSotRCdPnjT6TGzduhUhISG6v5t6hlNTU2FmZibYwRP4rcsmqw0xhOg8s9OrVy+d8lBJSQnatGljVK1Ge+pQcRENCAgweq9v375dT585JiYGzZo10xvL8zy6du2qV5SWk5MDMzMzvXzPly9fQiKRGHQkjxw5orfpPHz4MJydnQ06wjzPVzod4XkeY8eORf/+/Y0GgFQqlW79yMvLg5eXF7Pa0o0bN2BhYcHU8Y7neWzevBkSiYQplzY/Px+DBw+Gm5uboL0ENLbd2toakZGRgutwUVERRo8eDUdHR6Y82aNHj0IikSA6Olrwfb58+RKdOnXCyJEjBTflarUa06dPh4eHB1PevTa6z/J5FBUVwcnJyaT6R8X5zZ07FwMHDjT4/uRyeaUi7wcPHkAmkxlcG48ePVrJp9CmyFXdGJSVlcHT01NPLezIkSN6dS43b95Ew4YN9T4jhUIBqVRaaVO1bds21KlTx+DGctGiRZXSrqZNm4aaNWsa3KAWFRVVkqcbNWoUiIgpKPmfdZ4fPnwIiUTCFBUGNE5Jv379BKPTJSUlePToESQSiWBy/blz51BUVISJEydi5MiRRh/Y0tJSjB07Fi9fvtQV8RnbRSUlJVXa/U2aNMlgqoG2Y+Ann3yiu6levHgBMzMzvZu3qKgInp6eaNGiRaWfT548Wa/I6sGDB/jkk09gYWFR6efZ2dmQSCSVqlmTk5PRoEED+Pn56c0vMjKyUiFdYmIi3n33XYMV2nl5eZUWyfj4eHzzzTdGCzknTJiAPXv2gOd5zJ8/H+Hh4UajNfn5+bC3twcAWFpaCuZTR0REYNGiRZg6dSpT29sPP/zQ5Bgt+/btw//+9z/B15fL5bC2tsa1a9dMVnrn5ORgwoQJugJWBwcHo5/BqlWr0L59e53x2rdvn8HUovz8fLzxxhuVFAFUKhUkEonetbVtzg8cOFDp51FRUXrHlN988w2sra310kIyMzMrHcnfvn0bn3zyiVGVj0GDBulkm5YsWYJly5YZfea0DkNRUREOHz5s0pgqlUp06dLFZOqLKUTnmY20tLRK6VCPHz9G8+bNjaoMjR49ulJ6QXJyMho1amSwOLWgoABmZmaV7FNKSgoaNmxoUI1m7dq1epGwjIwMtG7dGp9//nmln8vlctja2uoFGXiex9y5c1GzZs1K9vzEiROwt7c3WPmflZUFNzc33TPC8zx69eqFadOmGb2Xk5KSdLbgzp07kEgkgkoUFy5cgFwux6xZs+Ds7CxY/MXzPFJSUuDi4oIxY8YwBZg2bNgAiUSC/fv3CzqrGRkZ8PX1RWBgINOmNiYmBhKJBDt27BC8dm5uLnx9fRESEsJUHL9r1y7IZDKmVJH8/Hy4u7tj9uzZTMoXO3bsgKOjo0knu6ioCLGxsSgsLIStra1R2Tae57FhwwZdcCY6OhoBAQEGo8iPHj1Cu3btdJHu4uJiyGQyvSAJz/OYM2cOatWqVWkjuGrVKr3gX15eHszNzdGgQYNKa6E2MlwxVTI/Px/fffed3rMDaLoAVszj1jYW+vrrr/XGyuVySCQSnVNdVlYGJycnGLM3S5cu1TnaKpUKffv2Rfv27Zk2lf9Z5zknJ4epwjMpKQkrVqzAjRs3TH6gCoUCy5YtQ3BwMAoLC03mFj979gw+Pj66iMmtW7eMXjsuLg5ffPGFzsEsLS01eqSQkJCAOnXqVDqWTE5ONnjtK1euoFatWggNDdX9TC6XG7z2/fv30ahRI71jckPi79qjm6pFC0qlUu/z1uoxG5Jfe/z4caVrHzx4EKNHjzZoVFQqVSXjPnnyZOzdu9foZ/r06VOdAXF2djaZ76xUKpGWlobCwkKmBinPnz/HsmXLmI7QtDtqFk6dOoWIiAim7mDu7u7Izs4W1ES9c+cO+vTpo5u3KWc/MDBQFwmRy+VGj2Jv3bqll+9d8fPWcuXKFQQEBOgVoSgUCr28thEjRuCLL74w+Lw+evSo0rV//PFHNG3a1ODRskKh0N3f2dnZeO2112Bra2s0P/TevXtQq9U4ceIEPv74Y2zatMnoPaVQKJjVFqoiOs9syOXySo7T2bNnERYWZjQ9KiUlpdL3lZiYiJ49exp8LlQqlZ7Nfvr0KRwdHQ3apydPnui9bllZGSQSid7Gkud5g/dGYWEhfvzxRz0bkJqaajCNTC6Xw87ODnXq1Kl0zxqLqqpUKowbNw61atVCTEwMAE2anSnn88mTJ/D29kZQUBAAjRMtlJubkJCA4OBgvHjxgindqaioCJs3b8bp06eZC8EvXbok2OtAi0qlwtGjR5kceEATSGNxhAGNTYiPjxdMjdHmb584cUKwgPDFixfo378/tmzZglu3bpnshBcdHY2PP/4YZ8+ehUqlMhqgy8nJgYuLC+rUqaO73+/fv2/wWcnLy8M333yDxo0b69YAtVptMEUwPz8f33zzjV7qXkpKit61tbVCVVUs1Gq1np+hfXYM5dKnpaVV+ky0zreh00+e5yutEwqFwmBaqZaMjAzdfaKVq2PtCPmfdZ6FePHiBTw9PVG7dm3BIq3y8nI4OjqiRo0aevlyVdHm3xAR01HS7Nmz8c477zClf8yfPx+2trZMRmbChAmYOnUqU/VzREQEYmJimPK8g4ODcfz4caadW5cuXZgLVRwdHZkE8tVqdaV8J1Pk5+czdwyMj49n0iUFNM4eqzFmlX67ceMGs07tsGHDmO4BrbFgITY2lrmbm1bFRAjtsbpQbnhRURF27drF9P6PHj0KPz8/plzB/v374+eff2ZSZ9Gm4rAquVQH0Xn+ffj5+TEdbWupWmgoRFBQEHMTD0Bzyrdx40bmYsADBw4gJCSEKScY+E06lFXaUq1Ww9XVFe3bt2eyh9rxtWrVYsr51Ko7EBEOHTokOL6wsBDjx4/Hu+++y9RsqrS0FMuXL8fXX3/NlAKSk5ODmTNn4ueffxYsmOR5HseOHYOrq6vJ9Dbt2FOnTsHd3R0ODg6C3298fDy+//57pg7C2tPX77//XnCTkpqainfffZdpzcjIyMBPP/3E1LAsMTERTk5OTAIBO3fuRHh4uMG22FVZvHgx5s6dy6R4MXv2bOb7euHChczqNlu3bmVWLrt8+bJeWqkpROfZCGfPnkWLFi2YFuxTp07ByspKMGcZ0AidOzg4MBmbhIQEuLq6MhnX48ePw9PTk6no8eTJk8wNJM6ePYuuXbsKjgM07W9ZdZOvXLkimD+s5eLFi0YLBauSkJCgl7dojC1btjBp+wKaNBIWAw5oOvGxbDQAMHfie/LkCXr27Mk0ds2aNdiwYQPTWF9fX6bKYm0UgeWeSUpKYv5uFyxYgCVLljCN9fb2ZtqUFBQUGM0vrUhZWRmuXbsGa2trwSjVlStXsHbtWqPHnn8E0XmuPhkZGXBycmIeXx3dcUBTwFaxAl+IlJQU2NvbMzvOOTk5JiNiVdHq6LNsSrUMHToUUVFRzK+xb98+dOjQQS+Vyhh3796FmZkZunfvzvS+09LS8NVXXzHrysfHx6NGjRro3r0703yCgoJAREz9A5KTk/HGG2+gXbt2gg6uWq2Gg4MD3njjDUHpTZ7nMWnSJDRs2FBXZG1q7PDhw+Hu7i64tqjVavj5+WH9+vWC8rhlZWWwtbXFlStXBKOoWvUrFh+japqcKTIyMmBubs60adPWurD4LlXTMoSwtbVlSsUBNLKxLNLDWkTn2QCHDx+Gra0tMjMzBSt/T5w4ARsbG+Tl5QkahEuXLsHKyopJK/j27dswNzdnGvv06VO9hHpjaHOPWaSMSktLmbsAqtVqWFlZMe1IAU37atbOft7e3sxH4t26dWMe6+PjwyzOziJQr8Xa2pp5EWV1nvPy8pgX83PnzjE3aVm1ahVzsdugQYOYugYCmu+3avqFIbTGkGWBf/HiBWQyGZPhTExMhLOzM5NB3rVrF/z8/Ji+s/nz52PAgAHM3y8LovNcfaZMmcLczhcAevfuzXwaBGhsjtApYkU6depULcfW39+/Wq2/hw0bVi0t6ZUrV1ZKyRMiPj4eDg4OzKkOSUlJkEgkePr0KZPUmLZpy82bN5mi2ufOnYNEIsG2bdsEi+y0uePe3t5MyjcpKSmQyWRYtmyZ4HdcXl4OPz8/zJo1S1CtSq1WY9CgQRg5cqTgmsnzPIYMGYIJEyYwFWH279+fSbJOSCCg6tguXbow3Yc8z8Pb25u5RiwwMJBJ8hMAhg8fztQDA9Dc10IF9louXbpUqUjcFMXFxbC0tGQaq0V0nquwefNmuLm5MbVpTEhIgI2NDZNTdevWLchkMqaI5IsXL0wWBVaktLQUVlZWTLlmPM+jY8eOzDf10KFDmbWeV6xYwdzNLSEhgVn/98GDB8wRo7y8PF1xnxAKhYL5YeF5Xq8A0hSmlCuqwpq2oVKpmN9bbm6uSfmuijx69IhZeP7KlSvM31tsbCxzx6YdO3YwndoAwOrVq5nlHBcsWMAsyTRlyhTmsWPGjDGoIPJ7EZ3n6qFUKmFmZsYU1QI0eb7ViVJfvny5Wq25Dx8+XC1Hdffu3dUav3//fuboLqBxhN3d3Zk/n/Pnz8Pa2popUANo7IBUKmUq3AM0jnB1mrZs3boV9vb2TMoUcrkcwcHBGDNmDNOJ0NmzZyGRSJgCLDk5OXBwcBBsmw1o1pPu3btjzpw5gmO1/RxYu+aOHTuWeWx17FhUVBTzdTdv3mxUvrYqp0+fZl5Tnj17xnxio1QqIZFImDd43bp1Y+54vG7dOmanXIvoPFdg8eLF8PX1ZYpsxcXFwdbWlsngaNU3WKKyxcXFsLKyEiwyADQPYWBgIHOb60WLFjE/LOfPn2cW/8/JyYFUKmX63Hieh42NDXOeX9++fZnzDhcvXsysuRsbG2u0Sr8q9+7dY275nZ+fD09PT6ax2s+CFdYoNcDuwGvznlm+Z57nIZPJmEXtWU9OeJ6Hra0t02LM8zycnZ2ZjGJ1NovaLlos0Uye59G3b1/mdBMhROe5euzevbtam5dhw4Yx5cBrcXFxYe64qZXUZG36pC2oZgnOAJp0LZlMxjz+7t27zM8doKmlMDc3Z25dfu7cOZibmzO3Lt+3bx/s7OyYTjp5nseUKVPQvXt3pkLC7OxsODo6mtSzr0h0dDQcHR2Z5vLo0SNIpVKmSGtJSQk8PDyYTvB4nseAAQMwZcoUpjnPmzeP+aQrJiYGAQEBTGMvXrwIV1dXpg1Heno6ZDIZk364Uqms1v0RFBTEfJq5ceNG5m6E6enpzI3KAMDe3p45vUOL6DxDc0NPnDiRSYoO0DhednZ2TEfNz58/h5mZGVObYpVKBS8vLxw8eJBp3gsXLmQu4rp+/TocHR2Z3l9ZWRmkUilTgR4AhISEGJXLqcru3buZUwoyMjKYo60AYGVlxbzIhIWFMec3rVu3jrmT3LVr1zB48GCmseXl5dV6wKvjPNvb2zN3JevRowdzG+1JkyYx358bN25kisQAmogQ6wZF2wWO5V7W6u6yOAdlZWWwsbFhKs5VqVTw9fXVSf39EUTnuXo4Ozsz26a8vDxYWloyR20TEhKqFRWeNm1atbpM+vr6GlTvMIRWdpLlVBH4rYssayravXv3IJFImItgT548CSsrK+buhStXrmTuiyCXy9GjRw9MmjSJ6bvSSu6xBFbUajVGjx6N4OBgpgDPhQsXIJFIBDX1Ac39ZWdnx5R2wPM8QkNDmbrUApq27N27d2dycK9cuQJbW1smBzc3NxcSiUSwNbh2zh4eHkxNYACNjjRLegmgOY1nPVVWq9WQSqVM+suAJlrPmrufnJyMbt26MY2tyD/KeSaiyUSURETXiegYEX3M8nt/xBCr1WqEh4dj7NixTA/t0aNHYW9vz+Q4Z2dnQyaTMStKDBgwgLll5smTJ9GhQwcmB6K4uBhSqZQpBxXQ5CCxatYmJibC29ubaay26Iw1SjNu3Djs37+faez169eZKosBjUFgLX4DNIUErAvYzp07mY9/cnNzq1XEVB3nOSQkRLBDlpaNGzdW6sJmiocPHxrU5TaEQqGAmZkZsxPfuXNn5jzTOXPm6MkhGuPMmTPw9PRk+r61WucsJyNyuRxubm5G9cRZEZ1ndpKTk5mLkgHNMTbLsTvw20kQq2Oempqqa7bEwo4dOzBw4ECmsYBmPWBRpQCq30X2yZMn1XK0jx07BltbW6YURW3RXJ8+fZhSR3JycuDo6Mi85hw5cgTm5uaC2tOAJircpUsXzJ07l+n537VrF3MH4fT0dFhYWDCdbKnVavTr1485crp37154eXkx2c60tDSYmZkxRXt5noeXlxfzBm7NmjXMJ7TPnz+HlZUVk08CAJ6ensxr1I4dO5hPm7SnQazP5bBhwwR1zw3xT3Oe61f4/3AiWsbye7/XECsUCvj7+2P+/PlM4w8fPgwHBwem3U9BQQGsrKyYjdn8+fOZc0RTU1P1RMZN0atXL5MdiCpy8eJFdOzYkcnQqNVq2NjYMBkxQBPBZc2L1oq0sz4AYWFhzJ/19evXqyVJY2lpyTyPWbNmMSmpABqjV53cyuo4z/Pnz9fTUDY1D1ZFFe08WCMAs2bNYj5WvXfvHtzd3ZnGarsisi7+U6dOxbx585jGXr161Wgb5aoUFxfD1taW+ejREKLzzE54eDhTe2PgNz1Y1sV8z549zKdigEb6jlV7OCMjg1mpANAcwbMqDGk7J7JuEl68eAGpVMpcWL1//344OjoyPfMqlQohISGYOHEi0xqibVbG8p3yPI+oqCh4eXkxzUXrzLEWo82bNw9du3Zleu6182aRm1Wr1QgJCcHcuXOZ5qFV5GKJ2JeUlMDS0pI5QDd79mzmyHdqaiosLS2ZlS18fX2Zi3JPnTql6zEgBM/zsLS0ZPZ31q1bxxxY0epA/54C8H+U81xpAkQjiWgpy9jfY4i1eUqskl4HDx6Eo6MjU1pAaWkpHB0dER8fz3TtPXv2oEuXLkwOWllZGaysrJgjdFu3bkVYWBjT2PLycshkMuZ85DVr1jDnbpWXl8PMzIx58Vi4cCGz7mNZWRlkMhnzAzBx4kRm2bnCwsJqpVb07duXeTd9//595mpgQHNczZILCGhOSKZNm8Z8bVb5KEDz3URHRzONzc/Pr9a1+/fvj7i4OKaxN27cgJubG/NGz8XFhdnZ2blzJ/z9/Zlz/s3NzaulzlAR0Xlmo6ioqFr30uLFi5lPVFQqFWQyGfMCHRcXV63F39vbm3mD9eDBA1hYWDA5cYCmKRSrHdbeq6zKIDt37oSbmxuT3S4tLUWnTp2YP/MzZ85AKpUypYwpFAr07dsXw4cPZ1onExMTYWZmxuTcqlQqhIeHY9iwYUzXvnbtGiQSCZNalFqtRnBwMHOA7sqVK7C0tGSK8KvVanTp0oX5dPbs2bPw8PBgeo88z8PFxYXZKY+Li6vWZs/W1pY5XejAgQMYPXo087UtLS2Zc/53795tsFsuC/8455mIphDRMyK6RUQfmBjXm4iuENGVpk2bVvuNX79+nXlHCmgcBlbHLzk5mfmGBoDly5czV5CmpKQw5/IAmjayrEY4LS2NOZ8V0BRgsDpzL1++xOHDh5mvvW3bNuZrZ2ZmMjvDgOZojvXa2dnZzM4coDluq861qyNXtX//fubvMisrq1rX3rt3L/O1MzMzmXPcAU0UjfXZyczMrNb9vXnzZuY895cvXzIX1wKaZ4fVCD9//pypq6Qh/ivO8x+12c+fP2cOSADA9u3bmZ/F3Nxc5pMaQPO8sBbZlZWVMQdpAE2KBEu+LaBxoBYtWsS8oThz5ky1Tknmzp3LbBeuX79erc9w/vz5zEVa9+/fZ5bUBDTF8axBoNTUVF2LZhZWrlzJfO2MjIxq5cRv2LCBudguJyeHOa0HAJPsn5aCgoJq1XPs2bOH+drFxcVMUnpaDh06xNw3oaysrFrXTkhI+N2Nr4zZbU7zb38+HMfFEdFHBv5pNIC9FcaNJKLXAIwXumbbtm1x5cqVP3GWIiIiIn8PHMclAmj7qufxdyLabBERkX8zxux2rb/qBQHYMg7dTEQHiUjQeRYRERERERERERF5ldR4FS/KcdyXFf7qTkTJr2IeIiIiIiIiIiIiItXhL4s8CzCd47gWRMQT0VMiCnlF8xARERERERERERFh5pU4zwA6vorXFREREREREREREfkjvJK0DREREREREREREZF/I6LzLCIiIiIiIiIiIsKI6DyLiIiIiIiIiIiIMCI6zyIiIiIiIiIiIiKMiM6ziIiIiIiIiIiICCOi8ywiIiIiIiIiIiLCiOg8i4iIiIiIiIiIiDDCAXjVc2CG47gs0jRVqS7vE1H2nzydvwNx3n8v4rz/Xv5r8/4UwAd/9mT+yYg2+1+DOO+/l3/rvIn+vXP/U+32v8p5/r1wHHcFQNtXPY/qIs7770Wc99+LOG8RY/xbP2Nx3n8v4rz/fv6tc/+z5y2mbYiIiIiIiIiIiIgwIjrPIiIiIiIiIiIiIoz8V5znFa96Ar8Tcd5/L+K8/17EeYsY49/6GYvz/nsR5/3382+d+5867/9EzrOIiIiIiIiIiIjIn8F/JfIsIiIiIiIiIiIi8of5zzjPHMdN5jguieO46xzHHeM47uNXPScWOI6bxXFc8q9z381xXINXPScWOI7rzHHcbY7jeI7j/vGVuRzHOXIcd4/juIccx4141fNhgeO4NRzHZXIcd+tVz6U6cBz3CcdxxzmOu/vrPTLgVc+JBY7jXuM47hLHcTd+nffEVz2n/8+INvvvRbTZfz2izf57+Stt9n8mbYPjuPoACn/9/3Ai+hpAyCueliAcx9kTUQIAFcdxM4iIAAx/xdMShOO4VkTEE9FyIhoC4MornpJROI6rSUT3iciOiNKI6DIR+QC480onJgDHceZEVExEGwC0ftXzYYXjuEZE1AjAVY7j6hFRIhF5/As+b46I3gRQzHFcbSI6Q0QDAFx4xVP7f4los/9eRJv91yPa7L+Xv9Jm/2ciz1oj/CtvEtG/YtcA4BgA1a9/vUBETV7lfFgBcBfAvVc9D0Z+IqKHAB4DUBDRViLq8IrnJAiAU0SU+6rnUV0AvABw9df/LyKiu0TU+NXOShhoKP71r7V//fOvsCP/RkSb/fci2uy/HtFm/738lTb7P+M8ExFxHDeF47hnRORHRONe9Xx+Bz2J6PCrnsT/QxoT0bMKf0+jf4Fh+P8Ax3GfEdGPRHTxFU+FCY7janIcd52IMokoFsC/Yt7/VkSbLWIE0Wa/IkSbreH/lfPMcVwcx3G3DPzpQEQEYDSAT4hoExGFvtrZ/obQvH8dM5qIVKSZ+z8Clnn/S+AM/OxfEeX6N8Nx3FtEtJOIBlaJMv5jAaAG8ANpook/cRz3rzl6/Sci2uy/F9Fmi/wRRJv9G7X+jIv8UwBgyzh0MxEdJKLxf+F0mBGaN8dx3YnIlYhs8A9KUq/G5/1PJ42IPqnw9yZElP6K5vKf4Nf8s51EtAnArlc9n+oCIJ/juBNE5EhE/6rin38Sos3+exFttsjvRbTZlfl/FXk2BcdxX1b4qzsRJb+quVQHjuMciWg4EbkDKH3V8/l/ymUi+pLjuGYcx9Uhoq5EtO8Vz+n/Lb8WcawmorsA5r7q+bDCcdwHWuUEjuNeJyJb+pfYkX8jos0WMYFos/9GRJtt4Nr/oE3xXwrHcTuJqAVpqomfElEIgOevdlbCcBz3kIjqElHOrz+68C+pOPckooVE9AER5RPRdQAOr3RSJuA4zpmI5hNRTSJaA2DKq52RMBzHbSEiSyJ6n4gyiGg8gNWvdFIMcBwnJaLTRHSTNM8jEdEoAIde3ayE4TjuOyJaT5p7pAYRbQcw6dXO6v8vos3+exFt9l+PaLP/Xv5Km/2fcZ5FRERERERERERE/ij/mbQNERERERERERERkT+K6DyLiIiIiIiIiIiIMCI6zyIiIiIiIiIiIiKMiM6ziIiIiIiIiIiICCOi8ywiIiIiIiIiIiLCiOg8i4iIiIiIiIiIiDAiOs8iIiIiIiIiIiIijIjOs8h/Go7j2nEcl8Rx3Gscx73JcdxtjuNav+p5iYiIiIgYRrTbIq8asUmKyH8ejuMiieg1InqdiNIATHvFUxIRERERMYFot0VeJaLzLPKfh+O4OkR0mYjKicgMgPoVT0lERERExASi3RZ5lYhpGyIiRO8S0VtEVI80kQwRERERkX82ot0WeWWIkWeR/zwcx+0joq1E1IyIGgEIfcVTEhERERExgWi3RV4ltV71BEREXiUcxwUQkQrAZo7jahLROY7jrAEkvOq5iYiIiIjoI9ptkVeNGHkWERERERERERERYUTMeRYRERERERERERFhRHSeRURERERERERERBgRnWcRERERERERERERRkTnWURERERERERERIQR0XkWERERERERERERYUR0nkVEREREREREREQYEZ1nEREREREREREREUZE51lERERERERERESEkf8Dn8iHzDe3/SIAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Another comparison, in quiver plot - clearly the noise creates a problem\n", "cmpPhasePlane((OM,MU), [model_noise], ['Model with noisy data'])" ] }, { "cell_type": "markdown", "id": "7a9947f9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### To start with...\n", "There are some simple technique to tackle the data noise. For example,\n", "+ Apply classical signal filters, such as [Savitzky-Golay](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.savgol_filter.html), to data before computing the derivative\n", "+ Use Fourier method to compute the time derivative,\n", " - Consider the Fourier transform $\\hat{X}=\\cF(X)$\n", " - Zero out the high-frequency components in $\\hat{X}$, which are likely to be noise\n", " - Compute the time derivative as \n", "$$\n", "\\dot{X} = \\cF^{-1}(\\mathbb{i}\\omega \\hat{X})\n", "$$\n", "\n", "> But certainly there is a lot of tuning work to do - see complaints in [1]\n", "\n", "[1] Rudy, S., et al., Data-driven discovery of partial differential equations, 2017." ] }, { "cell_type": "code", "execution_count": 18, "id": "da04e1bd", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(x)' = 4.861 x + -27.096 y + -1.202 xr^2 + 9.029 yr^2 + -1.177 yr^4\n", "(y)' = 7.639 x + 2.659 xr^2 + 1.843 yr^2 + -0.516 xr^4 + -0.458 yr^4\n", "\n", "Fitted coefficients - does not seem to work well!\n" ] }, { "data": { "text/plain": [ "array([[ 4.8613, -27.0956, -1.2017, 9.0287, 0.0000, -1.1770],\n", " [ 7.6390, 0.0000, 2.6589, 1.8431, -0.5161, -0.4575]])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Still fitting the model with customized features\n", "# But now with smoothed finite difference for time derivatives\n", "model_smooth = ps.SINDy(\n", " differentiation_method=ps.SmoothedFiniteDifference(order=2),\n", " feature_library=clib_lco,\n", " optimizer=ps.SR3(threshold=0.4, thresholder=\"l0\",\n", " max_iter=20000, tol=1e-12),\n", " feature_names=[\"x\", \"y\"])\n", "model_smooth.fit(x_train, t=t_train, multiple_trajectories=True)\n", "model_smooth.print()\n", "print('\\nFitted coefficients - does not seem to work well!')\n", "model_smooth.coefficients()" ] }, { "cell_type": "code", "execution_count": 19, "id": "9030944f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving [-1.5, 1]\n", "Solving [2, 2]\n", "Solving [1, 0]\n", "Solving [3, 3]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Somewhat improved\n", "x_pred = predTrajFixPar(model_smooth, x0s, t_train)\n", "cmpTraj2D(x_train, x_pred, t_train, 2)" ] }, { "cell_type": "code", "execution_count": 20, "id": "a306897c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# # But DIVERGES in the second test case\n", "# x_pred = predTrajFixPar(model_smooth, x0t, t_train)\n", "# cmpTraj2D(x_test, x_pred, t_train, 2)" ] }, { "cell_type": "markdown", "id": "700bc4b2", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### The weak form formulation\n", "Next let's introduce a fancier technique with the understanding that\n", "> Differentiating noisy data amplifies noise, but integrating it smoothes out noise" ] }, { "cell_type": "markdown", "id": "22a149a3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "First recall that if one has a series of data points $x_i=x(t_i)$ on grid points $t_I < t_{I+1} < \\cdots < t_J$, then the integration of $x(t)$ over $\\Omega_t=[t_I,t_J]$ can be approximated as\n", "$$\n", "\\int_{\\Omega_t} x(t) dt \\approx \\sum_{i=I}^J w_i x_i\n", "$$\n", "where the weight $w_i$ depends on the grid points. A typically method is the trapezoidal rule." ] }, { "cell_type": "markdown", "id": "8fbe2ac4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Consider noisy data $x_i$ over a time interval $\\Omega_t=[t_I,t_J]$, as well as another **known smooth** function $\\phi(t)$ that vanishes at $t=t_I$ and $t=t_J$. Then\n", "$$\n", "\\int_{\\Omega_t} \\dot{x} \\phi dt = x\\phi|_{t_I}^{t_J} - \\int_{\\Omega_t} x\\dot{\\phi} dt = - \\int_{\\Omega_t} x\\dot{\\phi} dt\n", "$$\n", "\n", "> The last equation is the so-called **weak form**, which is rooted in functional analysis for PDEs\n", "\n", "Then we are able to **transfer** the difficult derivative on noisy data to a much easier derivative on a known smooth function. Furthermore,\n", "\n", "$$\n", "\\int_{\\Omega_t} x\\dot{\\phi} dt \\approx \\sum_{i=I}^J w_i x_i \\dot{\\phi}(t_i) \\equiv -q^T x\n", "$$" ] }, { "cell_type": "markdown", "id": "e4ebd728", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We can apply the integral and the weak form to the entire system equation,\n", "$$\n", "\\int_{\\Omega_t} \\begin{bmatrix} \\dot{x}_1 \\\\ \\dot{x}_2 \\\\ \\vdots \\\\ \\dot{x}_N \\end{bmatrix} \\phi dt =\n", "\\int_{\\Omega_t} \\begin{bmatrix}\n", "\\xi_{11} & \\xi_{12} & \\cdots & \\xi_{1M} \\\\\n", "\\xi_{21} & \\xi_{22} & \\cdots & \\xi_{2M} \\\\\n", "\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", "\\xi_{N1} & \\xi_{N2} & \\cdots & \\xi_{NM}\n", "\\end{bmatrix}\n", "\\begin{bmatrix} \\theta_1(x) \\\\ \\theta_2(x) \\\\ \\vdots \\\\ \\theta_M(x) \\end{bmatrix} \\phi dt\n", "$$" ] }, { "cell_type": "markdown", "id": "2ab9067e", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\n", "- \\begin{bmatrix} \\int_{\\Omega_t} x_1 \\dot{\\phi} dt \\\\ \\int_{\\Omega_t} x_2 \\dot{\\phi} dt \\\\ \\vdots \\\\ \\int_{\\Omega_t} x_N \\dot{\\phi} dt \\end{bmatrix} =\n", "\\begin{bmatrix}\n", "\\xi_{11} & \\xi_{12} & \\cdots & \\xi_{1M} \\\\\n", "\\xi_{21} & \\xi_{22} & \\cdots & \\xi_{2M} \\\\\n", "\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", "\\xi_{N1} & \\xi_{N2} & \\cdots & \\xi_{NM}\n", "\\end{bmatrix}\n", "\\begin{bmatrix} \\int_{\\Omega_t} \\theta_1(x) \\phi dt \\\\ \\int_{\\Omega_t} \\theta_2(x) \\phi dt \\\\ \\vdots \\\\ \\int_{\\Omega_t} \\theta_M(x) \\phi dt \\end{bmatrix}\n", "$$\n", "where **each** of the integral can be numerically evaluated, without much impact from noise." ] }, { "cell_type": "markdown", "id": "ea509822", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Consider a series of $N_\\Omega$ intervals $\\Omega_i$ and $N_\\phi$ functions $\\phi_j$, a linear system of equations is formed and denoted\n", "$$\n", "\\dot{q}_{i,j}=\\Xi^Tq_{i,j}\n", "$$\n", "These equations can be assembled in the familiar least squares form\n", "$$\n", "\\min_{\\Xi} \\norm{\\dot{Q} - Q\\Xi}\n", "$$\n", "where $Q^T=[q_{1,1},q_{1,2},\\cdots,q_{1,N_\\phi},\\cdots,q_{N_\\Omega,N_\\phi}]$, and similarly for $\\dot{Q}^T$." ] }, { "cell_type": "markdown", "id": "b4221919", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Side note\n", "+ Nothing prevents the weak formulation to be applied to partial differential equations (PDEs). In fact, discovery of PDEs from noisy data is how initially this method was developed for. See [1] for more details.\n", "+ Another approach recommended for tackling noise along with weak form is the **ensemble method**. For example, one can subsample a noisy trajectory to create multiple, sparser trajectories, for each of which the SINDy model is trained - so that one gets an ensemble of models. Finally, one chooses, e.g., the average or the median of the models for prediction. Similarly one can do ensemble for the features, or both. See [2] for more details.\n", "\n", "[1] Reinbold, P., et al., Using noisy or incomplete data to discover models of spatiotemporal dynamics, 2020.\n", "\n", "[2] PySINDy Documentation: [Ensembling Feature Overview](https://pysindy.readthedocs.io/en/latest/examples/13_ensembling.html)" ] }, { "cell_type": "markdown", "id": "56f657f9", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Try the weak form out" ] }, { "cell_type": "code", "execution_count": 21, "id": "af1be1b5", "metadata": { "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(x)' = -21.735 y + 2.238 xr^2 + 5.490 yr^2 + -0.559 xr^4 + -0.630 yr^4\n", "(y)' = 10.791 x + -18.559 y + -0.163 xr^2 + 10.486 yr^2 + -1.451 yr^4\n", "\n", "Fitted coefficients - cannot say the coefficients are the most accurate\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/daninghuang/Library/Python/3.8/lib/python/site-packages/pysindy/optimizers/sr3.py:388: ConvergenceWarning: SR3._reduce did not converge after 60000 iterations.\n", " warnings.warn(\n" ] }, { "data": { "text/plain": [ "array([[ 0.0000, -21.7348, 2.2385, 5.4900, -0.5588, -0.6299],\n", " [ 10.7908, -18.5590, -0.1632, 10.4856, 0.0000, -1.4508]])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Again we use PySINDy implementation\n", "pts, K = 400, 400\n", "ode_lib = ps.WeakPDELibrary(\n", " library_functions=clib_func,\n", " function_names=clib_name,\n", " spatiotemporal_grid=t_train,\n", " include_bias=False,\n", " is_uniform=True,\n", " num_pts_per_domain=pts,\n", " K=K)\n", "opt = ps.SR3(threshold=0.4, thresholder=\"l0\", max_iter=60000, tol=1e-12)\n", "\n", "model = ps.SINDy(feature_library=ode_lib, optimizer=opt, feature_names=[\"x\", \"y\"])\n", "model.fit(x_train, multiple_trajectories=True)\n", "model_weak = wsWrapper(model, clib_lco, opt, x_train, t_train)\n", "model_weak.print()\n", "print('\\nFitted coefficients - cannot say the coefficients are the most accurate')\n", "model_weak.coefficients()" ] }, { "cell_type": "code", "execution_count": 22, "id": "d4ccdc0d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving [-1.5, 1]\n", "Solving [2, 2]\n", "Solving [1, 0]\n", "Solving [3, 3]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We lost one training case...\n", "x_pred = predTrajFixPar(model_weak, x0s, t_train)\n", "cmpTraj2D(x_train, x_pred, t_train, 2)" ] }, { "cell_type": "code", "execution_count": 23, "id": "2fe61764", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving [-2, 2]\n", "Solving [1, 2.5]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# But the test cases seem to work really well\n", "x_pred = predTrajFixPar(model_weak, x0t, t_train)\n", "cmpTraj2D(x_test, x_pred, t_train, 2)" ] }, { "cell_type": "code", "execution_count": 24, "id": "d4cb7122", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# A closer look at the phase plane - note the catastrophic diverging region in the model with smoothed FD\n", "cmpPhasePlane((OM,MU), [model_smooth, model_weak], ['Smoothed FD', 'Weak form'])" ] }, { "cell_type": "markdown", "id": "fc773211", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Handling parameters\n", "\n", "Finally, we look at an extended problem with system parameters\n", "$$\n", "\\dot{x}=F(x,\\mu)\n", "$$\n", "We have been keeping $\\mu$ fixed in previous examples.\n", "\n", "> How about finding a model that works for a range of $\\mu$'s?" ] }, { "cell_type": "markdown", "id": "62056a83", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### It is easy\n", "Using the previous example, we can simply modify the model to be learned as\n", "$$\n", "\\begin{bmatrix} \\dot{x} \\\\ \\dot{y} \\\\ \\color{red}{\\dot{\\mu}} \\end{bmatrix} = \\begin{bmatrix} -\\omega y - x r^2(r^2-\\mu) \\\\ \\omega x - y r^2(r^2-\\mu) \\\\ \\color{red}{0}\\end{bmatrix}\n", "$$\n", "so that $\\mu$ behaves as if a state and can appear in the system function as a variable like $x$ and $y$.\n", "\n", "> The rest is then just like regular SINDy\n", "\n", "However be careful that the order of features should **increase**." ] }, { "cell_type": "code", "execution_count": 25, "id": "c6397eac", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Now we generate a new dataset\n", "dt, Tf, eps = 0.0001, 2.0, 0.0\n", "# Training: mu = -2, -1, 0, 1, 2\n", "x0s = [[-1.5,1], [2,2], [1,0], [3,3]]\n", "args = [(OM,-2), (OM,-1), (OM,0), (OM,1), (OM,2)]\n", "inps = [(_a[1],) for _a in args]\n", "t_train, x_train = genDataMultiPar(dt, Tf, eps, x0s, args, 1)\n", "# Test: mu = -2.5, -1.5, -0.5, 0.5, 1.5, 2.5\n", "x0t = [[-2,2], [1,2.5]]\n", "argt = [(OM,-2.5), (OM,-1.5), (OM,-0.5), (OM,0.5), (OM,1.5), (OM,2.5)]\n", "inpt = [(_a[1],) for _a in argt]\n", "t_test, x_test = genDataMultiPar(dt, Tf, eps, x0t, argt, 1)" ] }, { "cell_type": "code", "execution_count": 26, "id": "1e1d255b", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(x)' = -10.086 y + 1.686 x^3 u + -1.560 x^5 + -1.986 x^3 y^2 + -0.476 x y^4\n", "(y)' = 10.064 x + 0.752 x^2 y u + 1.103 y^3 u + -2.980 x^2 y^3 + -0.972 y^5\n", "(u)' = 0.000\n" ] } ], "source": [ "optimizer = ps.SR3(\n", " threshold=1.0,\n", " thresholder=\"l0\",\n", " max_iter=1000,\n", " tol=1e-10)\n", "library = ps.PolynomialLibrary(degree=6, include_bias=False)\n", "model = ps.SINDy(optimizer=optimizer, feature_library=library, feature_names=['x', 'y', 'u'])\n", "model.fit(x_train, t=t_train, multiple_trajectories=True, quiet=True)\n", "model.print()\n", "# Numbers are looking familiar and the last term is correctly zero." ] }, { "cell_type": "code", "execution_count": 27, "id": "acb011b1", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving [-2.0000 2.0000 -2.5000]\n", "Solving [ 1.0000 2.5000 -2.5000]\n", "Solving [-2.0000 2.0000 -1.5000]\n", "Solving [ 1.0000 2.5000 -1.5000]\n", "Solving [-2.0000 2.0000 -0.5000]\n", "Solving [ 1.0000 2.5000 -0.5000]\n", "Solving [-2.0000 2.0000 0.5000]\n", "Solving [ 1.0000 2.5000 0.5000]\n", "Solving [-2.0000 2.0000 1.5000]\n", "Solving [ 1.0000 2.5000 1.5000]\n", "Solving [-2.0000 2.0000 2.5000]\n", "Solving [ 1.0000 2.5000 2.5000]\n" ] } ], "source": [ "x_pred = predTrajMultiPar(model, x0t, t_train, inpt)" ] }, { "cell_type": "code", "execution_count": 28, "id": "6b4a9045", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Comparing the trajectories in 3D - they look identical!\n", "# Also note that some of the test cases are BEYOND the training cases\n", "cmpTraj3D(x_test, x_pred, 2)" ] }, { "cell_type": "markdown", "id": "135e3e65", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Side note\n", "\n", "There are many more variants and applications of the SINDy algorithm. Just naming a few:\n", "+ To handle implicit ODEs - see [1]\n", "+ To handle control inputs - see [2]\n", "+ See [3] for a recent summary of extensions and watch [PySINDy@github](pysindy.readthedocs.io/en/latest/examples/index.html) for updates.\n", "\n", "[1] Kaheman, K., et al., SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics, 2020.\n", "\n", "[2] Brunton, S., et al., Sparse Identification of Nonlinear Dynamics with Control (SINDYc), 2016.\n", "\n", "[3] Kaptanoglu, A., et al., PySINDy: A comprehensive Python package for robust sparse system identification, 2022." ] } ], "metadata": { "celltoolbar": "Slideshow", "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": "3.8.6" } }, "nbformat": 4, "nbformat_minor": 5 }