{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The HFM library - A fast marching solver with adaptive stencils\n", "\n", "## Part : Non holonomic metrics and curvature penalization\n", "## Chapter : Five dimensional Reeds-Shepp models.\n", "\n", "In this chapter we consider a generalized Reeds-Shepp model, posed on the five dimensional model \n", "\\begin{equation*}\n", " \\Omega = U \\times \\mathbb S^2,\n", "\\end{equation*}\n", "where $U\\subset \\mathbb R^3$ is a box domain, and $\\mathbb S^2\\subset \\mathbb R^3$ is the unit sphere. Elements of this configuration space thus combine a physical position $x \\in U$, and an orientation defined by a unit vector $n \\in \\mathbb S^2$. \n", "\n", "The Reeds-Shepp model is non-holonomic, in other words some directions of motion are locally forbidden, and sub-Riemannian. The metric is obtained by letting, formally, $\\varepsilon \\to 0$ in the following expression\n", "\\begin{equation*}\n", " F_{(x,n)}(\\dot x,\\dot n)^2 := c(x,n)^2 \\left(^2 +\\varepsilon^{-2} \\|n \\times \\dot x\\|^2 + \\xi^2 \\|\\dot n\\|^2\\right)\n", "\\end{equation*}\n", "We denoted by $(x,n)\\in \\mathbb R^3 \\times \\mathbb S^2$ a point of the configuration space, and by $(\\dot x,\\dot n)$ a tangent vector at this point. Note that $ = 0$, by construction of the unit sphere $\\mathbb S^2$. The parameter $\\xi>0$ balances the cost of motion in the physical and the angular spaces, in other words the amount of curvature penalization. Last, but not least, the term $\\varepsilon^{-2} \\|n \\times \\dot x\\|^2$ strongly penalizes any physical motion that is not colinear with the current orientation $n$, and forbids such motion in the limit as $\\varepsilon \\to 0$.\n", "\n", "In the HFM library, a small but positive relaxation parameter $\\varepsilon>0$ is used.\n", "In addition, the HFM library parametrizes the sphere manifold $\\mathbb S^2$ using two Euler angles $\\theta \\in [0,\\pi]$ and $\\phi\\in [0,2 \\pi]$, as follows\n", "\\begin{equation*}\n", " n(\\theta,\\phi) = (\\cos \\theta, \\sin \\theta \\cos \\phi, \\sin \\theta \\sin \\phi),\n", "\\end{equation*}\n", "with appropriate boundary conditions are used.\n", "\n", "Since the Reeds-Shepp metric is insensitive to the orientation of the vector $n\\in \\mathbb S^2$, it makes sense to consider the projective manifold $\\mathbb P^2 = \\mathbb S^2 / \\{-1,1\\}$. The same parametrization is used of $\\mathbb P^2$ and $\\mathbb S^2$, but the angle $\\theta$ is restricted to the smaller interval $\\theta \\in [0,\\pi/2]$ in the projective case. The main interest of the projective quotient is to avoid the need to take care of the orientation of the seed and the tips, and to cut computation time in half, see the similar experimiments conducted for curvature penalized planar paths." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The HFM library implements the above generalized Reeds-Shepp model, as well as two variants that are described in the next paragraph.\n", "At the time of writing, however, the HFM library does *not* implement the higher dimensional counterparts of the Euler-Mumford elastica and the Dubins car models.\n", "\n", "### The Reeds-Shepp *forward* variant \n", "\n", "This variant of the Reeds-Shepp model requires the physical velocity $\\dot x$ to be *positively* colinear with the angular orientation $n$. A lower dimensional counterpart is also implemented in the HFM library, for curvature penalized planar paths. The metric of this model, strongly penalizes the negative part of their scalar product $$, so as to forbid motion in the reverse gear, in addition to lateral motion. More precisely\n", "\\begin{equation*}\n", " F_{(x,n)}(\\dot x,\\dot n)^2 := c(x,n)^2 \\left(_+^2 +\\varepsilon^{-2} _-^2 + \\varepsilon^{-2} \\|n \\times \\dot x\\|^2 + \\xi^2 \\|\\dot n\\|^2\\right).\n", "\\end{equation*}\n", "\n", "### The Reeds-Shepp *dual* variant \n", "\n", "In this second variant of the Reeds-Shepp model, the physical velocity $\\dot x$ must be *orthogonal* to the angular orientation $n$. The metric of this model penalizes the scalar product $^2$ by the factor $\\varepsilon^{-2}$, in contrast with the original metric which instead penalizes the cross product $\\|n \\times \\dot x\\|^2$ in the classical model. More precisely \n", "\\begin{equation*}\n", " F_{(x,n)}(\\dot x,\\dot n)^2 := c(x,n)^2 \\left(\\varepsilon^{-2} ^2 + \\|n \\times \\dot x\\|^2 + \\xi^2 \\|\\dot n\\|^2\\right).\n", "\\end{equation*}\n", "This model promotes paths which are embedded in smooth surfaces, but are possibly non-smooth themselves. Interestingly, it is genuinely three dimensional. Indeed, lower dimensional counterpart of this model, on $\\mathbb R^2 \\times \\mathbb S^1$, is equivalent to the standard Reeds-Shepp model, up to the change of coordinates $\\theta \\mapsto \\theta + \\pi/2$.\n", "\n", "### Computation time\n", "\n", "The numerical examples presented in this notebook involve solving 5-dimensional, highly anisotropic PDEs, using a non-parallellizable algorithm (Fast-Marching is a variant of Dijkstra's algorithm, which is inherently sequential).\n", "\n", "As a result, computation times for these problems are not instantaneous. They are likely around a minute on a modern laptop. (Typically 30 to 40 seconds on the author's 2012 laptop equipped with a 2.7 Ghz processor.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[**Summary**](Summary.ipynb) of volume Fast Marching Methods, this series of notebooks.\n", "\n", "[**Main summary**](../Summary.ipynb) of the Adaptive Grid Discretizations \n", "\tbook of notebooks, including the other volumes.\n", "\n", "# Table of contents\n", " * [1. The orientation space](#1.-The-orientation-space)\n", " * [2. Two paths to Rome](#2.-Two-paths-to-Rome)\n", " * [2.1 Defining the test case](#2.1-Defining-the-test-case)\n", " * [2.2 Extraction with isotropic fast marching](#2.2-Extraction-with-isotropic-fast-marching)\n", " * [2.3 The Reeds-Shepp model](#2.3-The-Reeds-Shepp-model)\n", " * [2.4 The Reeds-Shepp *dual* model](#2.4-The-Reeds-Shepp-*dual*-model)\n", " * [2.5 The Reeds-Shepp *forward* model](#2.5-The-Reeds-Shepp-*forward*-model)\n", " * [2.6 Stopping criteria based on Voronoi diagrams](#2.6-Stopping-criteria-based-on-Voronoi-diagrams)\n", " * [3. A motion planning example](#3.-A-motion-planning-example)\n", " * [3.1 Defining the domain.](#3.1-Defining-the-domain.)\n", " * [3.2 Isotropic fast marching](#3.2-Isotropic-fast-marching)\n", " * [3.3 The Reeds-Shepp model](#3.3-The-Reeds-Shepp-model)\n", " * [3.4 The Reeds-Shepp forward variant](#3.4-The-Reeds-Shepp-forward-variant)\n", "\n", "\n", "\n", "This Python® notebook is intended as documentation and testing for the [HamiltonFastMarching (HFM) library](https://github.com/mirebeau/HamiltonFastMarching), which also has interfaces to the Matlab® and Mathematica® languages. \n", "More information on the HFM library in the manuscript:\n", "* Jean-Marie Mirebeau, Jorg Portegies, \"Hamiltonian Fast Marching: A numerical solver for anisotropic and non-holonomic eikonal PDEs\", 2019 [(link)](https://hal.archives-ouvertes.fr/hal-01778322)\n", "\n", "Copyright Jean-Marie Mirebeau, University Paris-Sud, CNRS, University Paris-Saclay" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 0. Importing the required libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.224252Z", "iopub.status.busy": "2024-02-23T18:49:18.223674Z", "iopub.status.idle": "2024-02-23T18:49:18.232774Z", "shell.execute_reply": "2024-02-23T18:49:18.231893Z" } }, "outputs": [], "source": [ "import sys; sys.path.insert(0,\"..\") # Allow import of agd from parent directory (useless if conda package installed)\n", "#from Miscellaneous import TocTools; print(TocTools.displayTOC('Curvature3','FMM'))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.236727Z", "iopub.status.busy": "2024-02-23T18:49:18.236409Z", "iopub.status.idle": "2024-02-23T18:49:18.532834Z", "shell.execute_reply": "2024-02-23T18:49:18.532544Z" } }, "outputs": [], "source": [ "from agd import Eikonal\n", "from agd.Plotting import savefig, SetTitle3D; #savefig.dirName = 'Figures/Curvature3/'" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.534531Z", "iopub.status.busy": "2024-02-23T18:49:18.534411Z", "iopub.status.idle": "2024-02-23T18:49:18.540159Z", "shell.execute_reply": "2024-02-23T18:49:18.539908Z" } }, "outputs": [], "source": [ "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D # Plots geodesics\n", "import math" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.541452Z", "iopub.status.busy": "2024-02-23T18:49:18.541369Z", "iopub.status.idle": "2024-02-23T18:49:18.543098Z", "shell.execute_reply": "2024-02-23T18:49:18.542874Z" } }, "outputs": [], "source": [ "useMayavi = False\n", "if useMayavi:\n", " from mayavi import mlab # Plots implicit surfaces" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The functionality presented in this notebook for the CPU eikonal solver only. A different approach may be developed in the future to achieve similar functionality on the GPU." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. The orientation space\n", "\n", "The configuration space of the $(3+2)$-dimensional Reeds-Shepp models is more complex than those encountered in the previous experiments, since it involves the spherical manifold $\\mathbb S^2$, or the projective plane $\\mathbb P^2$.\n", "The points of these manifolds are unit vectors, that we parametrize using the Euler angles $\\theta$ and $\\phi$ as follows." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.544458Z", "iopub.status.busy": "2024-02-23T18:49:18.544375Z", "iopub.status.idle": "2024-02-23T18:49:18.546089Z", "shell.execute_reply": "2024-02-23T18:49:18.545819Z" } }, "outputs": [], "source": [ "def UnitVector(theta,phi): return np.array([np.cos(theta),np.sin(theta)*np.cos(phi),np.sin(theta)*np.sin(phi)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We shall use $24$ points for discretizing the variable $\\phi \\in [0,2\\pi]$. This number is kept small, so that computation times remain reasonable. In particular, it is notoriously less than the $60$ points or more used for discretizing the angular variable in the curvature penalized planar path models, which similarly belongs to the interval $[0,2 \\pi]$. A side effect of this coarse discretization scale is that the relaxation parameter $\\varepsilon$ involved in the Reeds-Shepp model cannot be too small : $\\varepsilon = 0.2$ here, whereas $\\varepsilon = 0.1$ previously." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.547352Z", "iopub.status.busy": "2024-02-23T18:49:18.547275Z", "iopub.status.idle": "2024-02-23T18:49:18.548888Z", "shell.execute_reply": "2024-02-23T18:49:18.548684Z" } }, "outputs": [], "source": [ "nPhi=24" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same angular scale is used for discretizing both angles $\\theta$ and $\\phi$. Hence $n_\\theta = n_\\phi/2$ for discretizing the unit sphere $\\mathbb S^2$, since $\\theta\\in [0,\\pi]$. Similarly $n_\\theta = n_\\phi/4$ for discretizing the projective plane $\\mathbb P^2$, since $\\theta\\in [0,\\pi/2]$. The next two sets show the resulting collections of unit vectors." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.550117Z", "iopub.status.busy": "2024-02-23T18:49:18.550025Z", "iopub.status.idle": "2024-02-23T18:49:18.636273Z", "shell.execute_reply": "2024-02-23T18:49:18.636034Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(); ax = plt.axes(projection='3d'); SetTitle3D(ax,\"Discretization of the unit sphere\")\n", "normals = np.array([UnitVector(theta,phi) \n", " for theta in Eikonal.CenteredLinspace(0,np.pi,nPhi/2) \n", " for phi in np.linspace(0,2*np.pi,nPhi)]).T\n", "ax.quiver(*normals,*normals, length=0.2);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.637710Z", "iopub.status.busy": "2024-02-23T18:49:18.637607Z", "iopub.status.idle": "2024-02-23T18:49:18.639279Z", "shell.execute_reply": "2024-02-23T18:49:18.639062Z" } }, "outputs": [], "source": [ "savefig(fig,'Sampling_S2.png')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.640508Z", "iopub.status.busy": "2024-02-23T18:49:18.640432Z", "iopub.status.idle": "2024-02-23T18:49:18.706108Z", "shell.execute_reply": "2024-02-23T18:49:18.705848Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d'); SetTitle3D(ax,\"Discretization of the projective plane P2\")\n", "normals = np.array([UnitVector(theta,phi) \n", " for theta in Eikonal.CenteredLinspace(0,np.pi/2,nPhi/4) \n", " for phi in np.linspace(0,2*np.pi,nPhi)]).T\n", "ax.quiver(*normals,*normals, length=0.2);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.707366Z", "iopub.status.busy": "2024-02-23T18:49:18.707269Z", "iopub.status.idle": "2024-02-23T18:49:18.709192Z", "shell.execute_reply": "2024-02-23T18:49:18.708958Z" } }, "outputs": [], "source": [ "def EulerAngles(v):\n", " x,y,z = v\n", " theta = math.atan2(np.sqrt(y**2+z**2),x)\n", " phi = math.atan2(z,y)\n", " return theta, phi if phi>=0 else phi+2*np.pi" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.710525Z", "iopub.status.busy": "2024-02-23T18:49:18.710431Z", "iopub.status.idle": "2024-02-23T18:49:18.712478Z", "shell.execute_reply": "2024-02-23T18:49:18.712279Z" } }, "outputs": [ { "data": { "text/plain": [ "(1.9, 4.1)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "EulerAngles(0.1*UnitVector(1.9,4.1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Two paths to Rome\n", "\n", "In this section, we define two curves in $\\mathbb R^3$, both joining the point $(0,0,0)$ to the point $(\\pi,0,0)$.\n", "The first curve has low torsion, but a high curvature. The second curve has high torsion, but a more moderate curvature.\n", "\n", "We then define a cost function $c : U \\to ]0,\\infty[$, where $U \\subset \\mathbb R^3$ is the physical domain, which favors paths staying close to the curves of interest. And finally, we compute the minimal geodesics joining the endpoints $(0,0,0)$ and $(\\pi,0,0)$.\n", "\n", "This example is inspired by applications to tubular structure segmentation. \n", "In such practical applications, for better efficiency, it should however be preferable to the cost function on full configuration space $U \\times \\mathbb S^2$, so as to take advantage of available information on the curve orientation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.1 Defining the test case" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.713800Z", "iopub.status.busy": "2024-02-23T18:49:18.713713Z", "iopub.status.idle": "2024-02-23T18:49:18.715914Z", "shell.execute_reply": "2024-02-23T18:49:18.715706Z" } }, "outputs": [], "source": [ "def LowTorsionCurve(t): \n", " return (t,np.sin(t)**2 *np.cos(4*t),0.1*t*(t-np.pi/2)*(np.pi-t))\n", "def LowCurvatureCurve(t):\n", " return (t,np.sin(t)**3 *np.cos(2*t), np.sin(t)**3 *np.sin(2*t))\n", "\n", "T = np.linspace(0,np.pi,200)\n", "curvePoints = [LowTorsionCurve(T),LowCurvatureCurve(T)]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.717187Z", "iopub.status.busy": "2024-02-23T18:49:18.717096Z", "iopub.status.idle": "2024-02-23T18:49:18.769065Z", "shell.execute_reply": "2024-02-23T18:49:18.768830Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d'); SetTitle3D(ax,\"Curves of low torsion and low curvature, respectively\")\n", "for curve in curvePoints: ax.plot(*curve)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next cells, we compute the euclidean distance to the two curves of interest, using Isotropic fast marching. This is used afterwards to define the cost function of our synthetic example." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.770366Z", "iopub.status.busy": "2024-02-23T18:49:18.770288Z", "iopub.status.idle": "2024-02-23T18:49:18.772322Z", "shell.execute_reply": "2024-02-23T18:49:18.772115Z" } }, "outputs": [ { "data": { "text/plain": [ "(3, 400)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.concatenate(curvePoints,axis=1).shape" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.773561Z", "iopub.status.busy": "2024-02-23T18:49:18.773467Z", "iopub.status.idle": "2024-02-23T18:49:18.775500Z", "shell.execute_reply": "2024-02-23T18:49:18.775243Z" } }, "outputs": [], "source": [ "hfmIn = Eikonal.dictIn({\n", " 'model':'Isotropic3',\n", " 'seeds':np.concatenate(curvePoints,axis=1).T, # Seed position. Seed value defaults to 0.\n", " 'cost':1,\n", " 'exportValues':1, # Ask for the PDE solution, aka the euclidean distance to the curves\n", "})\n", "# Domain parameters \n", "hfmIn.SetRect(sides=[[-0.1,np.pi+0.1],[-1.1,1.1],[-0.7,0.7]],dimx=60)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.776773Z", "iopub.status.busy": "2024-02-23T18:49:18.776676Z", "iopub.status.idle": "2024-02-23T18:49:18.805707Z", "shell.execute_reply": "2024-02-23T18:49:18.805417Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 0.018984 s.\n" ] } ], "source": [ "hfmOut = hfmIn.Run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The speed function used in further experiments is meant to favor paths staying close to the \"low torsion\" or the \"low curvature\" curves of interest. It is built from the distance to these curves, computed in this experiment. Recall that the *speed* and *cost* functions are equivalent to one another, with one being the inverse of the other." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.807135Z", "iopub.status.busy": "2024-02-23T18:49:18.807030Z", "iopub.status.idle": "2024-02-23T18:49:18.809509Z", "shell.execute_reply": "2024-02-23T18:49:18.809309Z" } }, "outputs": [], "source": [ "speedCurves = np.maximum(1.,36*np.exp(-hfmOut['values']**2/0.15**2))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.810758Z", "iopub.status.busy": "2024-02-23T18:49:18.810669Z", "iopub.status.idle": "2024-02-23T18:49:18.812415Z", "shell.execute_reply": "2024-02-23T18:49:18.812178Z" } }, "outputs": [], "source": [ "if useMayavi: \n", " mlab.contour3d(speedCurves, contours=[12])\n", " mlab.view(azimuth=-50)\n", " mlab.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is what the previous command should display.\n", "![curves neighborhood](https://dl.dropbox.com/s/no3i739d0j0z47r/A5_neigh.png?dl=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2 Extraction with isotropic fast marching\n", "\n", "Before running Reeds-Shepp models, which are rather complex and costly, let us illustrate the principle of tubular structure segmentation with standard isotropic backtracking. \n", "\n", "In the next cell, we request the curve joining the $(0,0,0)$ and $(0,0,\\pi)$ and minimizing cost. Equivalently, minimizing travel time given the input speed function." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.813667Z", "iopub.status.busy": "2024-02-23T18:49:18.813598Z", "iopub.status.idle": "2024-02-23T18:49:18.815489Z", "shell.execute_reply": "2024-02-23T18:49:18.815293Z" } }, "outputs": [], "source": [ "hfmIn['seed']= [0,0,0]\n", "hfmIn['tip'] = [np.pi,0,0]\n", "hfmIn['speed'] = speedCurves; hfmIn.pop('cost') # Remove previous unit cost\n", "hfmIn['exportValues']=0." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.816724Z", "iopub.status.busy": "2024-02-23T18:49:18.816654Z", "iopub.status.idle": "2024-02-23T18:49:18.848046Z", "shell.execute_reply": "2024-02-23T18:49:18.847765Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 0.019348 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 10.985\n" ] } ], "source": [ "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.849406Z", "iopub.status.busy": "2024-02-23T18:49:18.849296Z", "iopub.status.idle": "2024-02-23T18:49:18.903027Z", "shell.execute_reply": "2024-02-23T18:49:18.902811Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d'); SetTitle3D(ax,\"Minimal path for the isotropic model\")\n", "for curve in curvePoints: ax.plot(*curve)\n", "ax.plot(*hfmOut['geodesic']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The backtracked path is almost superposed over the \"low curvature\" curve. \n", "In the next cell, the seed and tip are moved a bit along the \"low torsion\" curve. As a result, the backtracked path now goes along this one instead." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.904374Z", "iopub.status.busy": "2024-02-23T18:49:18.904276Z", "iopub.status.idle": "2024-02-23T18:49:18.906006Z", "shell.execute_reply": "2024-02-23T18:49:18.905811Z" } }, "outputs": [], "source": [ "hfmIn['seed']= LowTorsionCurve(0.4)\n", "hfmIn['tip'] = LowTorsionCurve(np.pi-0.4)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.907200Z", "iopub.status.busy": "2024-02-23T18:49:18.907127Z", "iopub.status.idle": "2024-02-23T18:49:18.939450Z", "shell.execute_reply": "2024-02-23T18:49:18.939130Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 0.019306 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 10.985\n" ] } ], "source": [ "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.940886Z", "iopub.status.busy": "2024-02-23T18:49:18.940737Z", "iopub.status.idle": "2024-02-23T18:49:18.994349Z", "shell.execute_reply": "2024-02-23T18:49:18.994123Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d'); SetTitle3D(ax,\"Minimal path for the isotropic model, different seeds\")\n", "for curve in curvePoints: ax.plot(*curve)\n", "ax.plot(*hfmOut['geodesic']);" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.995692Z", "iopub.status.busy": "2024-02-23T18:49:18.995602Z", "iopub.status.idle": "2024-02-23T18:49:18.997329Z", "shell.execute_reply": "2024-02-23T18:49:18.997105Z" } }, "outputs": [], "source": [ "hfmIn.pop('seeds',None);\n", "hfmIn.pop('tips',None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3 The Reeds-Shepp model\n", "\n", "We next compute the shortest sub-Riemannian geodesic, in the sense of the Reeds-Shepp model, joining the positions $x_0=(0,0,0)$ and $x_1=(0,0,\\pi)$ of the physical domain $U$. \n", "These points are not members of the computational domain $U \\times \\mathbb S^2$, since they lack an orientation component. By defining $x_0$ and $x_1$ as *unoriented* seeds and tips, the HFM library will automatically select the orientations $n_0,n_1\\in \\mathbb S^2$ such that the sub-Riemannian distance from $(x_0,n_0)$ to $(x_1,n_1)$ is minimal, and return the corresponding geodesic.\n", "\n", "In order to cut computation time in half, the next experiments rely on the projective orientation space $\\mathbb P^2$ instead of the unit sphere $\\mathbb S^2$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:18.998533Z", "iopub.status.busy": "2024-02-23T18:49:18.998462Z", "iopub.status.idle": "2024-02-23T18:49:19.000630Z", "shell.execute_reply": "2024-02-23T18:49:19.000415Z" } }, "outputs": [], "source": [ "hfmIn = Eikonal.dictIn({\n", " 'model':'ReedsShepp3',\n", " 'xi':1, # Curvature penalization parameter\n", " 'dual':0, # Choose the standard Reeds-Shepp model, over the dual variant. (Default value = 0)\n", " 'eps':0.2, # Relaxation parameter\n", " 'projective':1, # Regard opposite orientations as equivalent. See below.\n", "})\n", "hfmIn.SetRect([[-0.1,np.pi+0.1],[-1.1,1.1],[-0.7,0.7]],dimx=60)\n", "hfmIn.nTheta = nPhi # Conflicting conventions ..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The speed function considered in this experiment depends on the physical coordinates only: $s = s(x)$, where $x \\in U \\subset \\mathbb R^3$. Also supported are constant: $s=s_0$, orientation dependent $s=s(\\theta,\\phi)$ where $\\theta\\in [0,\\pi]$ and $\\phi\\in [0,2 \\pi]$ are the Euler angles on the unit sphere $\\mathbb S^2$ (or $\\theta \\in [0,\\pi/2]$ in the projective case $\\mathbb P^2$), and fully dependent $s=s(x,\\theta,\\phi)$ speed functions.\n", "\n", "The speed function is provided as an array, or a single scalar in the constant case, and its dependency is inferred from the array dimension : 3 (physical dependency), 2 (angular dependency), or 5 (full dependency).\n", "\n", "In practical applications, for best performance, it is strongly advised to use fully dependent $s=s(x,\\theta,\\phi)$ speed functions, designed so as to promote motion tangentially to the tubular structures of interest." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:19.001850Z", "iopub.status.busy": "2024-02-23T18:49:19.001778Z", "iopub.status.idle": "2024-02-23T18:49:19.003463Z", "shell.execute_reply": "2024-02-23T18:49:19.003253Z" } }, "outputs": [], "source": [ "hfmIn['speed']=speedCurves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our objective is to extract a minimal geodesic from the seed point $(0,0,0)$ to the tip $(\\pi,0,0)$ in $\\mathbb R^3$, with any initial and final tangent." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:19.004668Z", "iopub.status.busy": "2024-02-23T18:49:19.004594Z", "iopub.status.idle": "2024-02-23T18:49:19.006276Z", "shell.execute_reply": "2024-02-23T18:49:19.006074Z" } }, "outputs": [], "source": [ "hfmIn['seed_Unoriented']= [0,0,0]\n", "hfmIn['tip_Unoriented'] = [np.pi,0,0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to save CPU time, we end the front propagation as soon as the geodesic of interest can be backtracked. For that purpose, we use the `stopWhenAnyAccepted_Unoriented` termination criterion with the geodesic tip as output.\n", "\n", "Another termination criterion is discussed at the end of this section." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:19.007547Z", "iopub.status.busy": "2024-02-23T18:49:19.007474Z", "iopub.status.idle": "2024-02-23T18:49:19.009107Z", "shell.execute_reply": "2024-02-23T18:49:19.008912Z" } }, "outputs": [], "source": [ "hfmIn['stopWhenAllAccepted_Unoriented']=hfmIn['tips_Unoriented']" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:19.010265Z", "iopub.status.busy": "2024-02-23T18:49:19.010181Z", "iopub.status.idle": "2024-02-23T18:49:22.650143Z", "shell.execute_reply": "2024-02-23T18:49:22.649865Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Fast marching solver completed in 3.54475 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 18.5647\n", "CPU times: user 960 µs, sys: 3.8 ms, total: 4.76 ms\n", "Wall time: 3.64 s\n" ] } ], "source": [ "%%time\n", "# Warning : may take up to a minute. \n", "hfmOut =hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:22.651599Z", "iopub.status.busy": "2024-02-23T18:49:22.651508Z", "iopub.status.idle": "2024-02-23T18:49:22.705860Z", "shell.execute_reply": "2024-02-23T18:49:22.705624Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d'); SetTitle3D(ax,\"Minimal path (red) for the Reeds-Shepp model\")\n", "for curve in curvePoints: ax.plot(*curve)\n", "ax.plot(*hfmOut['geodesic_Unoriented'][:3]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next cell illustrates the sub-Riemmannian constraint, namely that the collinearity of the physical velocity $\\dot x$ with the current orientation $n$ is almost (due to the relaxation) satisfied." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:22.707267Z", "iopub.status.busy": "2024-02-23T18:49:22.707164Z", "iopub.status.idle": "2024-02-23T18:49:22.762979Z", "shell.execute_reply": "2024-02-23T18:49:22.762748Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(); ax = plt.axes(projection='3d'); \n", "SetTitle3D(ax,\"Minimal path, and orientations, for the Reeds-Shepp model\")\n", "for curve in curvePoints: ax.plot(*curve)\n", "geo = hfmOut['geodesic_Unoriented'][:,::10]\n", "orientations = UnitVector(*geo[3:])\n", "ax.quiver(*geo[:3], *orientations,length=0.2);" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:22.764231Z", "iopub.status.busy": "2024-02-23T18:49:22.764147Z", "iopub.status.idle": "2024-02-23T18:49:22.765913Z", "shell.execute_reply": "2024-02-23T18:49:22.765703Z" } }, "outputs": [], "source": [ "savefig(fig,'ReedsShepp_Tube_Tangents.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.4 The Reeds-Shepp *dual* model\n", "\n", "In the next experiment, the classical Reeds-Shepp model is replaced the a *dual* variant, which enforces a distinct sub-Riemannian constraint : the physical velocity $\\dot x$ must be orthogonal with the orientation $n$.\n", "This metric favors paths of low curvature, and paths which are embedded in smooth surfaces - in which case $n$ is expected to be close to the normal vector to the embedding surface." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:22.767133Z", "iopub.status.busy": "2024-02-23T18:49:22.767058Z", "iopub.status.idle": "2024-02-23T18:49:22.768685Z", "shell.execute_reply": "2024-02-23T18:49:22.768479Z" } }, "outputs": [], "source": [ "hfmIn['dual'] = 1" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:22.769880Z", "iopub.status.busy": "2024-02-23T18:49:22.769800Z", "iopub.status.idle": "2024-02-23T18:49:26.769214Z", "shell.execute_reply": "2024-02-23T18:49:26.768926Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Fast marching solver completed in 3.95815 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 18.5647\n" ] } ], "source": [ "# Warning : may take up to a minute.\n", "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:26.770677Z", "iopub.status.busy": "2024-02-23T18:49:26.770587Z", "iopub.status.idle": "2024-02-23T18:49:26.824035Z", "shell.execute_reply": "2024-02-23T18:49:26.823787Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d'); \n", "SetTitle3D(ax,\"Minimal path for the Reeds-Shepp *dual* model\")\n", "for curve in curvePoints: ax.plot(*curve)\n", "ax.plot(*hfmOut['geodesic_Unoriented'][:3]);" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:26.825394Z", "iopub.status.busy": "2024-02-23T18:49:26.825298Z", "iopub.status.idle": "2024-02-23T18:49:26.883191Z", "shell.execute_reply": "2024-02-23T18:49:26.882934Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(); ax = plt.axes(projection='3d'); \n", "SetTitle3D(ax,\"Minimal path, and orientations, for the Reeds-Shepp *dual* model\")\n", "for curve in curvePoints: ax.plot(*curve)\n", "geo = hfmOut['geodesic_Unoriented'][:,::8]\n", "ax.plot(*geo[:3])\n", "orientations = UnitVector(*geo[3:])\n", "ax.quiver(*geo[:3],*orientations,length=0.1);" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:26.884664Z", "iopub.status.busy": "2024-02-23T18:49:26.884563Z", "iopub.status.idle": "2024-02-23T18:49:26.886426Z", "shell.execute_reply": "2024-02-23T18:49:26.886189Z" } }, "outputs": [], "source": [ "savefig(fig,'ReedsSheppDual_Tube_Tangents.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.5 The Reeds-Shepp *forward* model\n", "\n", "This model is perfectly applicable to tubular structure segmentation, and is in general preferable to the original sub-Riemannian Reeds-Shepp model. Indeed, the ability to move in reverse gear seems irrelevant for tubular structure segmentation. In addition, shifting from the front to the reverse gear, and conversely, it introduces a *cusp* which is usually regarded as an undesirable artifact. \n", "\n", "We refer to the next section for examples of such cusps, since they do not appear in the above experiment. In this test case, the results obtained with the Reeds-Shepp forward model are completely similar to those of the original sub-Riemannian model. Indeed, its main purpose is to eliminate cusps, which are not seen here." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:26.887840Z", "iopub.status.busy": "2024-02-23T18:49:26.887725Z", "iopub.status.idle": "2024-02-23T18:49:26.889456Z", "shell.execute_reply": "2024-02-23T18:49:26.889222Z" } }, "outputs": [], "source": [ "hfmIn.pop('dual',None); # The forward model has no 'dual' counterpart\n", "hfmIn.pop('projective',None); # The forward model has no 'projective' counterpart. Orientations must belong to S^2" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:26.890725Z", "iopub.status.busy": "2024-02-23T18:49:26.890641Z", "iopub.status.idle": "2024-02-23T18:49:26.892507Z", "shell.execute_reply": "2024-02-23T18:49:26.892282Z" } }, "outputs": [], "source": [ "hfmIn['model'] = 'ReedsSheppForward3'\n", "hfmIn['dims'][3]=nPhi/2 # Discretization of S^2 requires (nPhi/2,nPhi), as opposed to P^2" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:26.893783Z", "iopub.status.busy": "2024-02-23T18:49:26.893706Z", "iopub.status.idle": "2024-02-23T18:49:29.352702Z", "shell.execute_reply": "2024-02-23T18:49:29.352352Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Fast marching solver completed in 2.34865 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 18.5647\n", "CPU times: user 1.09 ms, sys: 4.41 ms, total: 5.49 ms\n", "Wall time: 2.46 s\n" ] } ], "source": [ "%%time\n", "# Warning : may take up to a minute.\n", "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:29.354138Z", "iopub.status.busy": "2024-02-23T18:49:29.354047Z", "iopub.status.idle": "2024-02-23T18:49:29.408403Z", "shell.execute_reply": "2024-02-23T18:49:29.408178Z" } }, "outputs": [ { "data": { "image/png": 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yXHR1dQXt9p8vRCSyft111+HWW28FADz11FMB7ycWi13+pijKb/DQeR+Kovwe4/zzz0dWVhZeeOEFZGRkgKZplJeXBxxA9AUmQNrT04Pvf//7uPnmm/HAAw8gISEBe/bswfXXX+8Swwjkmjxdgz+Qoxla7gFbQsicz2JiYgI+rjt8nSdN0xAKhThy5IgLGQFAbGysz+MmJSWhsLAQhYWFePfdd1FYWIgNGzbgjDPOCOi4NE3jpptu8hhTyc7OZmMivgLaWVlZaGlpwe7du/G///0PW7duxcMPP4yvvvoKN998My6//HJ224yMDPbfiYmJuOyyy3DZZZdh+/btWLlyJR555BG8/PLLHu8bcw7O9+2+++7DJZdcMuecZDKZ95vm53r8bXP++efP+eyHP/yh1+MQL1mA7s+YXC6fM+app56Kn//852hvb0d9fT02bdqEjo4OfPXVV5iYmMDq1avZRKG3334bv/jFL/Doo4+ioqICSqUSDz/8MA4ePOhyTPfn2Nv5OeOOO+5w+VupVM75zB2efjtfv6end8753Ly9q86gaRrp6ekeY2xcZa5GGhEhmrPPPpuduDdv3hyJIUKCVqtFU1MTnnvuOWzatAkAsGfPnpCOdeDAgTl/l5SUAAAOHz4Mu92ORx99FALBrNH49ttvu2wvkUjgcDhCGtsfCgsLIZFIsGfPHlx11VUAAJvNhsOHDwdVuwSAXSUGe64rV66Ew+HA6Ogoe69DQXx8PH72s5/hl7/8JaqrqwM67qpVq9DQ0IDCwkKP35eWlsJut+Pw4cNYt24dAKClpWVObYhcLscFF1yACy64ALfccgtrnaxatQoJCQl+z10ikaCgoCAgK9b53FtaWryeO4MDBw7g6quvdvnbPeHmwIEDOPnkkwEAdrsdR44cYReAvhBIwsaSJUtgt9tx8OBB1trUarVobW1FaWmpz33Ly8uRmJiIP/7xj1i+fDlUKhVOOeUUbN++HXq9Hqeccgq77TfffIPKykps3bqV/SyQVfySJUvw6quvwmQyQS6XA5j7zjJwLrvgGkuWLJkzx+zbtw9FRUUQCoUBPYurVq3C8PAwRCIRm+xzrCEiBZtCoRBNTU1oamqas+qcT8THxyMxMRHPP/882tvb8fnnn/tdwXjD3r178Ze//AWtra146qmn8M477+DnP/85AKCgoAB2ux1PPPEEOjs78eqrr+LZZ5912T83NxcGgwGfffYZxsfHOU2BjYmJwU9/+lPcdddd+OSTT9DY2IgbbrgBMzMzuP7664M6VkpKCuRyOT755BOMjIxgcnIyoP2Kiorwf//3f7j66qvx3nvvoaurC4cOHcJDDz2EnTt3BnUOt9xyC1paWvDuu+8GdNxf//rX2L9/P2655RZoNBq0tbXhv//9L372s58BAIqLi3H22WfjhhtuwMGDB3HkyBH85Cc/YSckYDZj6h//+Afq6+vZ31AulyMnJ8fjOX744Yf40Y9+hA8//BCtra1oaWnBI488gp07d+LCCy8M+Fp///vf45VXXsG2bdvQ0NCApqYmvPXWW7jnnntctnvnnXfwz3/+E62trfjDH/6Ab7/9dg6JPPXUU/j3v/+N5uZm3HLLLdDr9bjuuusCPhdfWLx4MS688ELccMMN2LNnD2pqavCjH/0IixYt8nu9FEXh5JNPxmuvvcZmsC1btgxWqxWfffaZS2ZjYWEhDh8+jF27dqG1tRX33nuvS/akN1x11VUQCAS4/vrr0djYiJ07d+KRRx4J55JDwp133onPPvsMDzzwAFpbW/Hyyy/jySefxC9/+UsAgT2LZ5xxBioqKnDRRRdh165d6O7uxr59+3DPPffMyXBbqIiYMoBKpYJKpYrU4UOCQCDAm2++iSNHjqC8vBy/+MUv8PDDD4d0rDvvvBNHjhzBypUr8cADD+DRRx9lrbcVK1bgsccew0MPPYTy8nK8/vrr2L59u8v+lZWVuPnmm3HFFVcgOTkZf/nLX8K+Pmf8+c9/xqWXXootW7Zg1apVaG9vx65duxAfHx/UcUQiEf72t7/hueeeQ0ZGRlCT5osvvoirr74ad955J4qLi3HBBRfg4MGDyMrKCuockpOTsWXLFmzbtg00Tfs97rJly/DVV1+hra0NmzZtwsqVK3Hvvfey8RDm3LKysnDKKafgkksuYVNHGcTFxeGFF17Axo0bsWzZMnz22Wf44IMPkJiY6PEclyxZAoVCgTvvvBMrVqzAhg0b8Pbbb+Pvf/87tmzZEvC1bt68GR9++CF2796NtWvXYsOGDXjsscfmENx9992HN998E8uWLcPLL7+M119/HUuWLHHZ5s9//jMeeughLF++HN988w3ef//9gOOlgeDFF1/E6tWrcd5556GiogKEEOzcuXOOS9UTvve978HhcLCkQlEUa6GedNJJ7HY333wzLrnkElxxxRVYv349tFqti3XjDbGxsfjggw/Q2NiIlStX4ne/+x0eeuih0C40DKxatQpvv/023nzzTZSXl+P3v/897r//fhcryt+zSFEUdu7ciZNPPhnXXXcdioqKcOWVV6K7u5uNCS10UCQQZyYPF+Tm5uL2228P2g3FgwcXoCgK//73v71KAHV3dyMvLw/V1dULWpaEx4kDXlSTBw8ePHhEFDzR8ODBgwePiIJ3nfHgwYMHj4iCt2h48ODBg0dEwRMNDx48ePCIKHii4cGDBw8eEQVPNDx48ODBI6LgiYbHvIDPQeHB48QB366SR1RBjnbyNJlMEAqFEIlEEAqFEAqFIXVt5MGDx8IHn97MI2qgaRo2mw0OhwMWiwXAd+q2AoEAIpGIJx4ePI5D8ETDI+IghMDhcMBut4OmaVAUBavVCoFAADLbfA+EEPY7ADzx8OBxHIEnGh4RBSGEtWKAWZ0u5jNPxOFOPMw+ZrMZCoUCcrkcQqEQAoGAJx4ePI4R8DEaHhEDTdOwWq2gadqFGJi1jaemUBRFsZ8JhUKWdJqbm5Geno6UlBTW1SYWi1mLhyceHjwWLnii4cE5GFeZzWYDIcQjCXgiGU9giIeiKDZ5gCEfs9nMbsN8xxMPDx4LDzzR8OAUjFvs8OHDSEtLQ0ZGBicTPnMMbxYPTdMs8QgEgjkxHp54ePCYP/BEw4MTMJM9Y8XQNB2w1RLMGO7wRjwOhwMOhwNms5knHh485hk80fAIG0xtjN1uB/Dd5M9lnkmgpMCMLRAI2HNzJh6LxeIS42Fcbs6ExYMHD27BEw2PsOBcG+M8wXNNNEBoagK+iMdut8+J/zAWD088PHhwB55oeIQEZ1eZe1YZ4JtoQpnAuZr0vRGP3W5nU66ZTLn4+Hi2hofZngcPHsGDJxoeQcO9NsZTvMOfRRMKcUSi5MsT8Wi1Wmi1WpSVlblYPIyrjSceHjyCA080PIKCs6vMV0B9vmI0XIzjHMNxt3gAz6oFPPHw4OEdPNHwCAiB1MY4Y6HEaMKFN1ebzWaD1Wplv+eJhwcP7+CJhodfBOIqc0ckLJqFoJbkiXgYK4+xeNyJh8lq48HjRAVPNDx8grFiPAX8feFYdZ0FCyZ+w8CZeDxZPM5ZbTx4nCjgiYaHR7jXxgRb4Hi8uM6CRSDEIxAI5iQX8MTD43gGTzQ85sA5bRlwrb4PFCeKReMPgRCPyWSCTCZDTEwMTzw8jkvwRMODhb/amGBwolo0/uBMPMz1dHZ2Ii4ujtWF43vx8DjewBMNDwChBfx94Vi3aKJBas7XxCQNAN+1V3CWy+GJh8exDJ5oeARcGxMseIsmODiLgwKuTeAsFgusVisAvvsoj2MPPNGcwHBvscwlyQgEAtY64gLH+0Tq6fq8KVMzxONNIJRXpuax0MATzQkKrl1l3sbwhlBca8erRRPodfkiHucmcHz3UR4LDTzRnIAItTYmGAgEgmM6RhNNhNq3J1Di4buP8phv8ERzAsG5NiYQGRkuxlvIxzveEEj3UYqiQNM0xGIxZDIZTzw8ogKeaE4Q0DQNi8WCw4cPY8WKFRCLxRGdXHxZNNPT02htbYVMJkNCQgLi4uLYjCtvOJ4nQq47kTLwRjwdHR2gKAp5eXl891EeUQFPNMc5nGtjHA4HdDodgOhM3O5EQwjBwMAAmpqakJ6eDpqm0dbWBrPZDKVSifj4eCQkJEClUrkUOXo7Ho/g4E48IpGI7z7KIyrgieY4hnvAn5m8mYr/SMLdorHb7WhsbMT4+DhWrlwJlUrFruTNZjP0ej30ej0aGhpgt9uhVqsRHx+P+Ph4KJXK43qii5RF4288vvsoj2iBJ5rjFL5qY6JlGTDjTE9PQ6PRQCqVorKyElKplFU6BgCZTIb09HSkp6eDEIKZmRmWeHp7e0EIYWMKBoMBMTEx/EQXBrwRWyDdR70lF/Dg4Qs80Rxn8FcbIxAIomLRMOnLfX19aG5uRm5uLgoLCwPqvBkTE4OYmBhkZmaCEAKDwYDW1laYzWYcOXIEAoGAtXbi4+Mhl8uPeeKZD4vGH4IhHr77KA9f4InmOAIXLZa5Ak3TmJycxMTEBFatWoXExMSQjkNRFJRKJZRKJVQqFQoKCjA1NQW9Xo+RkRG0trZCIpGw8Z34+HhIpVKOryayiHbsKdx0am/EA/DdR3l4Bk80xwkYfSx/tTHRsGimp6fR3d0NQghOOukkrxN/MBMes51AIEBcXBzi4uKQl5cHh8OByclJ6HQ69PX1obGxEQqFwsXiEYvFnF1bpLAQLRp/8Nd9FOCJh8cseKI5xrEQWiw7n0t/fz+am5uRkJAAh8PBmXXB1H+4QygUIiEhAQkJCQAAm82GiYkJ6PV6dHV1ob6+ns1oi4+PR1xcnMeMtvnEsWLR+IO37qNmsxmHDx/G6tWrWcUCvvvoiQWeaI5hhCIjEymLxm63o6GhATqdDqtWrYLJZMLQ0BCnYwQyIYvFYiQnJyM5ORkAYLFY2MSClpYWWCwWqFQqlnjUavWCWGEfixaNPzDxG6aGi6mV4ruPnnjgieYYhHNtjHOqaiCIhEUzNTUFjUYDuVzOZpUNDAxwSmihTj5SqRRpaWlIS0sDAJhMJpZ4BgcHYbfbERcX55JKHW0cLxaNNzDPAVMc6nwefPfREwM80RxjcG+xHGxNA5cWDZNV1tLSgvz8fOTn57PnEonJgYsJWS6XQy6XIyMjA4QQGI1Glnh6enoAzJIT851CoYja6j9amC+i8ZSYEkjba74lwrEPnmiOIbi3WA7F5cOVRWO321FfXw+9Xo/Vq1ezMRLncRaCRePvmLGxsYiNjUVWVhZomobBYEB3dzcmJydx6NAhiESiOanUXON4t2gC1dVzJh7mnvBN4I4P8ERzDIDLFstcWDSeXGXuWKgWjS8IBAKoVCokJiaCEIKlS5dicnISer0eQ0NDaGlpgVQqdUmllkgknIx9PFs0oYznqQkcwBPPsQqeaBY4FlKLZV+uMi7H8Xa8aMO5MBSYteKYVOqenh40NDQgJibGxeLxJw7qCce7RcMsjsKBL+Lhu48ufPBEs4ARiRbLoVo0NpsNDQ0NXl1l7vBFNKFqZc23qKZIJEJiYiJbfGqz2dj4TkdHB0wmk0sqtVqtDjiVeqFbGAttPGfi8dR91Gg0oq+vD4WFhXz30QUAnmgWIIKtjQkGocROJicnUVNTA4VCgY0bNwbkLjoeLBp/EIvFSElJQUpKCgC4iIM2NTXBarWy4qAJCQlQKpUeV/a8RRM+3JWprVYrBgcHUVBQwHcfXQDgiWaBIdItloPpfEkIQW9vL1pbW1FQUIC8vLx5TaOeb4vGH9zFQZ1Tqfv7+0HTtEsqdWxs7LxMcvNBNNG+TobcPFk8PPFEHzzRLCBEo8VyoARgs9lQX1+PiYkJrFmzho1TcD1OMMc7lkBRFBQKBRQKBRYtWsSKgzLE09XVxcrp2Gw2WCyWqBHAfGWdRRPuVpS7xcO3vY4ueKJZAHCvjYnkwx1IjGZychIajQYxMTEBu8rcEYhKc7BY6BaNLziLg2ZnZ4OmaUxPT0Ov10Or1aK5uRmdnZ0uiQUymSwi53IiWTTe4I14mOQCs9nMdx/lEDzRzDPca2NCDZQHCl8EEI6rLJhxQj3e8QSBQAC1Wg21Wo2BgQGUlpYCAPR6PQYGBtDc3My2umY02rhKpT5RLJpgNO3c3zvnJnDu3Ud54gkePNHME5jV0+DgIEZHR1FWVhaVB9abRcO4yiYnJ0NylbnDH9GEQkLHskXjD0KhEGq1ms3ms9vtLuKgRqMRsbGxLuKgoaRSA7xFEwi8KVO7Ew/jauPbXvsGTzTzAOeAv81mg8FgiNrD6SnrjHGVxcbGorKykpOVM2/RBA5P90kkEiEpKQlJSUkAAKvVysZ32traYDabXcRBVSpVwCv4E8Wi4XJMb8Tj3gSOUSyXSqV822sn8EQTZbjXxjDqttGCc9YZIQQ9PT1oa2tDYWEhcnNzOU2jPtGyzsKBv/sukUiQmpqK1NRUAJ7FQZ1TqWNjY71OtLxFEz68EU91dTVycnKQlJTEWjx891GeaKIGby2Wo9VamQFj0dhsNtTV1WFqaooTV5mncXiLJjCEcp/cxUFnZmZY4unt7QUhxCWxICYmhr2HvEXDPRjiIYRAIpGwCQbuFs+J2gSOJ5oowFdtzHxYNGazGXv37oVSqeTMVeaOSBDN8WzRhAOKohATE4OYmBhkZmaCEOKS0dbR0QGhUMiSTjSfN+D4tGi8weFwuLjM+O6js+CJJsLwVxsTTYuGEIKpqSno9XoUFRVx6ipzh7/stpGREdjtdiQmJgbchfN4JhoufweKoqBSqaBSqZCTkwOaptnffXh4GA6HAzU1NUhMTGTJh6tOqJ5wIlg0DBiXuDv8Ec/xbvHwRBMhONfG+JKRiRbRWK1W1NfXY2pqCklJScjLy4voeN6Ixm63o7GxEePj45BKpWhubmaFKRMSErxmU/Gus9DBFIbGxcUhLy8PX3zxBfLz8zEzM4O+vj40NjZCoVC4pFKLxWLOxj+RLJpA06o9EQ/j0rbZbOw2DPFMTU1BrVZHdEEQSfBEEwHQNA273R6QjEw0iGZiYgIajQYqlQpZWVmwWCwRHQ/wTDQGgwEajQZisRjr16+HUCiEw+Hwmk2VkJAAlUrl8jIer4j2RBwfH4+MjAwAs6ntTCp1R0cHZmZmXMRB4+LigqpJcceJYtEwZBFqnyhfTeAuuugi3Hjjjbj22ms5POPogScaDhFKi+VIEg0hBN3d3Whvb8fixYuRk5ODrq4uVnIjknAPPA8NDaG+vh7Z2dlYvHgxS8buwpTO2VR1dXWsPphIJILD4Yh6IDsamG9RTbFYjOTkZCQnJwMALBYL+xu0tLTAYrFApVKxFo8z+QeC+Zj052NMZmEZDikzcCeemZkZxMbGhn3c+QJPNBzBPeAfaP48QzRcT6BWqxV1dXWYnp7G2rVrERcXx55XNFx1zLU4HA60tbVhYGAAy5cvZwnF2+TqqdWyTqfD0NAQjEYj9u7d69J4LJIyLdFEtMiTuS5f40mlUqSlpSEtLY3VAtPpdKw4qMPhcBEHVSqVPo83H4sDmqZDLmgNZ0wgtM63vsC8BzExMZweN5rgiYYDhNM3xtktxNXLqNfrUVNTA5VKhY0bN7r424NRbw4HzLUcOnQIhBBUVlZCoVAEfQym1bJEIsHAwADy8/NdZFrkcjlLOqE2HptvRJPUAiEaZ1AUBblcjkWLFrHioEajkbV4uru7QVGUSyq1QqFwOf58TPoOhyMi2ZT+xgS4Jxpg1u2sVCo5P260cOy9lQsI3mpjggHzUHJh6ntylbmfT7QsGp1OBwCIjY3FkiVLOHEnAGAns/z8fDa2oNPpXBqPMcSjVquPmaydhWTR+IIz+WdlZbmIg46NjaG9vR0ikYj9nRISEk6YZAAmESAS18pIEB2r4IkmRHDVN8aZaMIB4yozGAxYt24d1Gq11/EiuYImhKC9vR3d3d0AgJKSEq8kE8x5eLq37rEFpvGYTqdjq+WdJzznosWFhIVs0fiDszhobm4uHA4Hm0o9ODiIlpYWCAQCKBQKNrswGpbGfMVoIjEmU5DLu85OMNA0DavVyknfGC6IhnGVqdVqVFZW+kxNjWTygdVqRU1NDUwmE9auXYsDBw74rKUJFv72cW88xsR3nPu/MNZOQkJCxOI7oeBYsWj8wbkwND8/H3a7HTU1NQCAnp4eNDQ0ICYmxiWVOhJutfkiGq4sd2eYzWY4HA7edXaiIBItlpmkgVAmf0IIurq60NHRgaKiImRnZ/s9n0hV2LuTHdcpycHeZ2cXD9P/ZWpqik0saGlpgVwud6nf4bJ2JBgcyxaNP4hEIkgkEsTFxSErKwtWq5VNpWbS2Z1TqdVqNSeT9Xy6zriG0WgEAN51diKAK1eZJwgEAva4gcJqtaK2thZGo9Gnq8wdXMdonIU5neNCzsKdXI4VKpyLFoHZwlEmoO0c32EkWk7krLNIjMmMJ5FIXNLZGXenXq9HU1MTbDabSyq1UqkMiTAiNen7QqRcZ0ajEQKBAHK5nPNjRws80fhBKLUxwSJYd5Zer4dGo0FcXJxfV5mnsbiaRO12u992z/Nl0fiDSCSaUzvCuNnGxsbgcDig0WjYCS82NjYik/N81NBEG76sC3d3p8lkYn+Hvr4+to6KsXgC/R2OJ9cZk9q8EOOLgYInGh9wb7Ecqd4SgRJNKK4yd3Bl0UxPT6O6uhpyudyjMKezmi1XiOQkKZVK2Qmvv78fw8PDSExMhE6nY+M7zvU7XK8uo2nRRLtHSqBZZxRFQaFQQKFQsOKgBoOBtXicfwfmP7lc7vHYx1ORqMFg4InmeIV7i+VIPrSBKDiH6ipzBxcWzcDAABobG5Gbm4vCwkKvLwCXRBPNl4zRmMrKymJTeJlMKia+49xmOT4+PuT4znyrAkRrzFBlWZRKJZRKJRtnm56ehk6nw8jICFpbWyGRSFwyCxktsOPRojmWwRONG5xdZVxklQUCfxaNTqdDTU0N4uPjg3aVBTuWLzgcDjQ1NWFkZAQrVqxg3U7e4ItoQrmn86V15i5KybRZZqyd+vr6OfU7wU440bZoogmu6micU6nz8vLgcDgwOTnJFvA2NTVBoVAgPj6erW2LJiJFbkajcU4R7LEGnmicwMhtMA9MNEgG8D75E0LQ2dmJzs5OFBcXIysri5Mst1Am7JmZGWg0GlAUhcrKyoBcR8eqReMP7m2WGW0wnU6HxsZGtttlQkIC2+3S2/nzFk3oEAqF7D0GXMVB7XY7256csXbUanVEFQoiadEcyxlnAE80LBgr5uDBg8jNzUV6enrUxvZENBaLBbW1tTCZTFi/fj1UKlXExvKH0dFR1NbWYtGiRSguLg540uCaaBaqerO7NtjMzAwb0O7u7naJKyQkJHgkad6iCR/OBbyDg4NYsWIFm9XmLA7qnErNJQFGKtONidEcyzjhica9NoaRro8m3Cd/Z1fZypUrOV2FBTNh0zSNtrY29Pb2ory8PGjy5dp1dizAuduls0SLTqfD8PAwWltbIZVK2ZV4tIvwjieLxtd4NE1DJpMhLi4OaWlpAFyVwRnlCLVazS4A/ImD+oPD4YhILRZv0Rzj8FQbE+3Wysy4TO0G164ydwSadWY2m1FTUwObzYaKioqQHvQTxaLxBfe4AhPfYbKomGK87u5uJCYmclaw6A3Hs0XDgHlO3MnNXRnc2fLs7e0FAJdU6mAzvRwOR0TUJo51+RngBCYaby2W58uisVqtOHz4MOeuMk9j+ZuwdTodNBoNkpKSsHr16pAtKn/kEOzkEy2iieSk6B7fmZmZwYEDB2C1WtmCRS5X2e44ESyaQDJF3S1PQggrDqrVatHR0eEiDhpISnskXWe8RXOMwb02xj3gH63Wys6w2Wzo7OxEcnIy564ydzBE42nCca7T4cqiOh6TAbgE42opLi6GUCjEzMwMm1jQ09PDSvA71++Ecy9OBIsmlJIEiqKgUqmgUqmQk5MDmqbZjDYmpV0qlboQj3tb5UgqA3gqhj6WcEIRjXttjKfCtWhaNIQQdHR0YGJiAsnJyVi+fHnEX0j3zpcMbDYb2ygtnDodZ3CtFH0sus4CBfMsMqvszMxMj3UjzGTHEE+wSsgngkXj3HwwVDgncACzKhgM8fT19aGxsZFVo2bEQSOVdWYymZCVlcX5caOJE4JogqmNCUV3LBQ4Z5UlJydz7iLxBk/9byYnJ9lU0IqKCk5l3HmLxjd83R9PdSNM/Q6jhBwbG+uihOxvojtRLBquSxNEIhESExORmJgIYHZh5qyVNzMzA4FAgNHRUUgkEk5jbQaDIeimgQsNxz3RBCuGKRQKYbPZInpOWq0WtbW1SEhIwMqVK9Ha2ho1d52zRUMIQX9/P5qbm1FQUIC8vDxOX07eogkcgdx3oVDoMtlZrVY2mN3c3Ayr1epSv+Np8RJtomGes2jHaCI9nlgsdhEHtVgsOHToEFvUzPwWjMWjUqlCPic+62yBI5QWy0KhEGazOSLn49wUrKSkBJmZmaAoKmpWFPCdRWOz2dDU1ITx8XGsWrWKnby4Bm/R+EY490cikbjU7zgLUjJZVO71O/NBNEBkJZzcMR/yM1KpFAKBAHl5eVCr1S6p1P39/SGLgwI80SxYhNNiOVKTvsViQU1NDSwWCzZs2OBSPyEQCNjkhEiDuQ9HjhyBRCJBZWVlxBqA+XrZtVotxsfHWZdPIBPDiW7R+NvfXZCSie+Mjo6ira0NEokEcrkcdrsdVqs1Kp0u56MtwXwQDQCXBS3zWyxatMhjEz4myYP5z5fEDJ/evAARbt+YSNTRjI+Po7a2FklJSVi1atWcrLJoZrqNjIwAmF3pLlmyJOIvpPt1OdcKJSQkYGhoCHa7HXFxcazLx1P9Am/RBAfnLCqmxfLExAT6+/thsViwZ88eF3mWQOI7oSAaorSexox2Lxpf43pqwsekUo+NjaG9vR1isdiFeJjFH0NSx3J3TeA4IxpvtTHBgMusM2dXWWlpKRYtWuTxnKJRJErTNFpaWjAwMACKopCbmxvxl9/9Wm02G2pra2EwGLBu3TpIpVJQFMUWzul0OnR2dkIkErGkk5CQwK68eYsmdDDxHWYRVl5ezqZRM/IsTHwnnIZj7jhRLBrGixLIuM5JHswiwFkctLm5GTKZDLW1tZBKpZiamuLMdfb000/j4YcfxtDQEMrKyrBjxw5s2rTJ73579+7FKaecgvLycmg0mqDHPS6Ixrk2JtwWy1wRjdlsRm1trUdXmTu47nrpDpPJBI1GA5qmUVlZiX379kVl0na+LqZ/TUxMDCorKyEUCmG1Wj1KtkxOTkKn07FppLGxsVAqlaBpOmIppPOF+RLVlEgkSE1NRWpqKhvfYYjHuUqeIZ5Q1YOdSwmihfnqRQMgpGfTXRyUUY/47LPP8K9//Qvj4+O47rrr8P3vfx+nn346Tj755JAsnLfeegu33347nn76aWzcuBHPPfcczjnnHDQ2NiI7O9vrfpOTk7j66qtx+umnsx6RYHHMEw1N07Db7Zy1WObCjeXPVeaOSFo04+PjqKmpQWpqKkpLSyEUCqMm58L8DkNDQ6ivr3fpX+Ptep3rFwoKCmC1WqHX6zEyMgKapvHNN9/4dbMda4h2cN6TW9I9psDEd5xdOwzpOFuZ/sCkNvNEEzgY9Yh77rkHv/3tbxEXF4etW7eioaEBt99+O8466yw89dRTQR/3sccew/XXX4+f/OQnAIAdO3Zg165deOaZZ7B9+3av+91000246qqrIBQK8Z///Ce0awpprwWASLVYDseioWka7e3t6OnpQWlpKTIzMwPaLxIxGqYYtKurC0uWLMGiRYsiOp43DPb1gAzVYuWqU5GUvTjo/ZmVd2xsLHQ6HdauXRuQmy1cRMvSWIhtAjzFd9ytzJiYGJf6HW+LqWinNgPz1/QM4D4WNTMzAwC48sor2VRqq9Ua9HGsViuOHDmC3/zmNy6fn3XWWdi3b5/X/V588UV0dHTgtddewx//+Megx2VwTBJNJFssh5p1xohQWq1Wv64yT2NyOfFbrVbU1NTAZDJ5PJdoWDQWiwUYacDK9sehsIyAtMlh+8HLIHmnhnXcQNxsDOlEWqCSK8y3ReMP7q4dq9XKFo62tray8R1nfTbnwuD5KBCdD6KJRP8qRnTVOUYTymJqfHwcDocDqampLp+npqZieHjY4z5tbW34zW9+g2+++SZsWaxjjmhCqY0JBqG4scbGxlBXV4fk5OSQRCi5JJqJiQloNBqo1WpUVlZ6PJdIWzR6vR6N336Jja3bIbVNgoACZTdB/MmvYL35IBDCb+bpd/bmZtPpdKxA5UJ3sy1Ei8YfJBKJS7Gic/1OX18fCCHs7yKRSE4IoolUppvRaIRQKJyjqxYqAi3gdTgcuOqqq3DfffehqKgo7HGPGaIJpzYmGATjOnN2lbm7p4IBFxM/IQQ9PT1oa2vD4sWLkZOT4/X+RCr5gBCC3t5etLa04NThVyG1TUKnzofiR+9B+twGUBPdoMabQZJLgz52IFaYe4A70Gy2+cZCt2j8QS6XY9GiRWx8x2AwQKfTYXx8HBMTEyCEoLGxkXW1cTVpesN8WjRcw2g0IiYmJuxjJyUlQSgUzrFeRkdH51g5wGzyzuHDh1FdXY1bb70VANhWJiKRCJ9++ilOO+20gMc/Jogm3NqYYODcG8bXGFz0a3EfM1TY7XbU19dDr9djzZo1fpVeuZaGAWZftIaGBmi1WmxMmkTskT04II/BzxIFWHJoG/6RsRKi3v2ghutCIppgEWg223y72Y5Fi8YXKIqCUqmEUqlETk4OtFotmpqaIJVK54hRMvU7XKuVH08WDVctAiQSCVavXo3du3fj4osvZj/fvXs3Lrzwwjnbq1Qq1NXVuXz29NNP4/PPP8e//vUv5OXlBTX+gicamqZhtVojasU4g3lYfD04Y2NjqK2tRUpKCkpLS8N+UcIhmunpaWg0GshkMmzcuDGgVTrXFs3MzAyqq6shEolQsWEDlG+cCwLgT2mZMBMTqsaq0BJThjIA1MxYSGOEG1cKxs3GpMlHC8e6ReMPIpEIBQUFKCgocBGjbGtrg9lshkqlYq2dcDTBGBxPFg2XqgB33HEHtmzZgjVr1qCiogLPP/88ent7cfPNNwMA7r77bgwMDOCVV16BQCBAeXm5y/4pKSmQyWRzPg8EC5Zo3FssR4NkgO+IxlO9hnNr43BcZe4IlWgGBgbQ2NjokjYc6HhcTaRjY2OoqanBokWLUFxcDFHHpxCM1KMuRoVumNjt+gQUygDAYghrPK4mSl9uNp1OBwBRcfccbxaNp/GcJ2B3MUrn+h1nTTDG0gylfoem6Yj2dPKESNV3GY3GkGuY3HHFFVdAq9Xi/vvvx9DQEMrLy7Fz507k5OQAmC1DYGqouMaCJBpCCPvwLVq0KGokA3yXnugep+HSVeZpzGCIxuFwoLm5GcPDw1ixYgWSk5ODGo+LrDPn9OmysjJkZGQAAISH/wEA+HfOCsDUzW4/RVtm/yEMLS4SaXePs5ttYGAAAwMDLu6eSLrZjmeLxl/WmXt7ZYPBMKfLpXP9TiCE73A4oh5/i5QVxXV3za1bt2Lr1q0ev3vppZd87rtt2zZs27YtpHEXFNE418ZMTU2hr68v6g1/GDVl54mfcZU5Fz1yiWBSqmdmZqDRaEBRFCorK/22l/U2XjiuM0ZKxmg0uqZPT/RA0P0VzBSFj22jAAClSIlp+zQsjqNEIwpvAojGRElRFMRisYu7h7F0nNstJyYmhp3NdqJZNL7gHN9hNMGYuNrAwACampqgUChYwvcW35kv11mkLJpjXVATWEBE414bIxKJoiad7w4m88zZVea8aucavtorO2N0dBS1tbXIyMhASUlJyC9TODEaZymZiooKthUxAAhr3gAAfJqzEgb7OJLESciLycOhiUMQWKcBACQmJeRzni+IxWKvbrauri4IhUJ2xR3oqtsZJ7JF4wvuXS5tNhtbv9Pe3g6TyQSVSsXeeya+c7wRzbHeIgBYIETj3mJZIBBAJBJFTTrfHQKBADMzM2hsbITdbufcVeYO5gH1Ngk4E155eTnS09PDGi/UGM3g4CAaGhqQl5eHgoIC13MlBMKGdwAA78UqACOwKX4TWkwtAIA402xshii/O/dQJqD5Ftb0lc3W39+PpqYmtmo+kqrIoWIhWzT+IBaLkZyczLqKzWYzW79TV1fHxndMJhNiY2Ojeq2RIjfeouEAvlosz6dFAwB1dXVIT0+PiKvMHc5xIfeH1WKxQKPRcBobCtaiYZSfBwcHvcaEqJE6UJN96JLH4oixFwJKgE3xm1A1XQUAUBtns82IyjWBItDJYKEVWjJwz2Zjsqq0Wi2am5tZNxtDPO4Nr+bDdRZtyf5I/XYymQwZGRlsfIfp+TI5OYmenh4MDg6y1o6z9H4kwFs0vjFvROOvNoZxX0V7VdLW1gaLxYLc3FyUlJREZVxnuQ5n6HQ61NTUICEhISTFAV/jBTrBMUkQjGXnrXe5oGUnAOA/GcUAPYaKtAokSZMwZZ8CAMRZzSAiORCXw+4Tym873xaNPzhnVTFuNiaxpbu7e46bDTi+XWfRIjbnni+jo6PIzMyEVCp1kd6Xy+Us6cTHx3OamRapTDeDwYCkpCTOjxttzAvREEJgtVp9ysgIhcKA4hZcwWQyoaamBg6HA7GxsVCr1REfkwFzfQzREELQ1dWFjo4OFBcXIysri9N7EKhFo9frodFokJiYiLKyMp8rNkHrRyAAPhZaABo4P+98zEzNQG/TAwCy7DaQlFKACj2udKzB2c2WmZkJmqYxNTXlEtyWyWSw2+3QarVRcbMdSzGacMYUiUQsoeTn57PxHb1ej46ODphMJiiVSpZ41Gp1WIQYqUy3mZkZ3qIJFUxml6+Hnnnh7HZ7xFMVR0dHUVdXh7S0NJSUlODIkSNRUzcGXDPdbDYb6urqMDU1hXXr1kWE8PxZNKyUTGsrioqKkJ2d7Xuy0HVCMN6COpkCQ7YpyIQynJRxEnaN7gIApAnkUNMEjpSysM99oVs0viAQCBAXF4e4uDh28uvr60NfX19AbjYuMB9EsxDUmz3FdxhLc3BwEHa7nSWmUDIJ+awz35g315k/xWXnwslIgaZptLa2oq+vzyXIzmWXzUAhEAgwNTWF1tZWxMbGorKyMmIE68uisdvtaGhogE6nC0jOBgAE3V8DAHal5gIwYFPGJshEMvSZ+wAAi+2zY9GZ68I65+MNTPve4eFhVFRUsOKUjJtNIBC4aLNxUTR6vKdTA4GRm0wmQ3p6OtLT09n4DkM8XV1d7L1niMdffCeSyQC8RRNBUBQV0Qnfveuk86oh1FYBoYJxEdbV1aGgoAD5+fkRfTm9WTRGoxHV1dUQi8WorKwMeGIT9HwDAuBTMQEcwBnZZwAADk4cBAAsndICAEjm+rDP/Vi2aLyBWXQxzce8udm4yGY7XmM0zgh20neO7zCZhMy9HxoaQktLC+RyuYs+m3NaPxA5i4Z3nUUBkSKakZER1NfXs64y9wckkh0v3cGIUTocDpSUlCA3NzfiY3qyaJgaHUZKJuAXldAQ9OxFg0SCIYcRMqEMG9M3on2iHU2GJghA4eKpSRBFEkhCvss5BHvOxyO8EacnNxuz4m5paYHFYnGRagnUzTYfWWcLnWjc4Xzvge9aK+t0OnR0dGBmZsalfketVke0TQDvOgsDgbwUXNfSMGm6AwMDKCsr81qPEi3XmbMFIZPJQuoDHgqcLTZCCNrb29Hd3R1SUSo12gDKpMMnSbO+b8Zt9nbb2wCAjYhHmqMHjoLT5/ShORbraCKBQO6DezZbqG423qIJHkxrZSb7y2KxsPU7DQ0NsNvtoCgKWq0Wcrmcs9ga49KL1rwQSZwwFs3MzAxqampACEFFRYXPVUI0XGfDw8Ooq6tDdnY2Fi9ejH379kXNimIsGqvVitraWszMzATdFZSBoGcvCIDdSiUAO87IPgPT1mns7J5Nd/6/iVmBSrrgzDn7BjPpnWgWjS/4c7M1NzfPkWrxVxQcKURb4JKpzYskuUmlUpf4zszMDI4cOQKj0Yiqqiq2toqJ8YQiE8WAj9FEAVwRzcjICOrq6pCRkYHi4mK/Jq5QKITNZgt7XE9wtqqWLVvGNh2KdNdLZwgEAlitVuzfvx9KpXKOlEwwoAaPoFMswiDskAgk2Ji+EW+0vgGzw4xsaRoq9d+CCESg805h9yGEoLOzEx0dHYiNjUViYiISExOhVCp9Nmtj9j3eEO7EH4ybLVLPtTdEO72ZeT6iZUUxKewCgQBFRUWIjY3F1NQU9Ho9G9+RyWQu9TvBvGtctgmYTyxo15lQKAzLdeY8qZeXlyMtLS2g/YRCIcxmc8jjeoPZbIZGo4HD4UBlZaVL8WM0iWZ6ehrj4+MoLCwMO/FAMFiFfUdXbCuTV8LsMOPlppcBAP+HZFAAHLmnALLZNG273Y66ujpMTk5i6dKlrIxIX99shlpCQgIrVunJ/XO8EU0krseXm21ychIGgwGTk5OcZrN5w3zEhIDoEQ0DpibQmfTz8vJc4jtdXV2or6+fU7/jbeFL0zRv0UQD4cjQMCrHAOZM6v4QCdfZ+Pg4ampqvCpAR8NdR9M0mpubMTo6CrVajYKCgvAOaBwFNdmHIymzvuv1aevxUuNLMNgMKIpbjEvaZzv00UtmO/rNzMygqqoKEokEFRUV7GEWLVoEmqYxPT0NrVbLZlk5S/PHxcVFbWUcbTddpFsgOLvZqqqqoFarQVGUXzcbF4i2RTMfRMO46zzdN0/xHcbaZLQUvdVOGY1GAOBjNJFGqK6z4eFh1NfXh6xyzGXWmXPfltLSUmRmZnrcLtIWDWNN0TSNvLw8TE1NhX1MwWA1AKBBHgOAIEGWgGfrngUA3Jp5DmTVn4EWSEAXfZ9ttcC4LymKgtVq/e5YAgHUajXUajXr/mFW4cwLSQjB0NAQ0tLSIJfLj4u4zXxYaAqFAunp6V7dbMzEl5iYGHZgO9oWDTNfRNtdF+h1SqVSpKWlIS0tzaNEERPfaWpqYpOVuHCdPf3003j44YcxNDSEsrIy7NixA5s2bfK47XvvvYdnnnkGGo0GFosFZWVl2LZtGzZv3hzy+MeV64xZsQ8ODgblKnMHV9ZFMMH2SKZU63Q6aDQaJCcnY8mSJRgcHMTk5GTYx6UGq6ATCDAsmJ0sP+j6AFbaijUpa7Cp+wgAYDxlI7QDo+jo6HDpSupvgnWX5jcajTh06BB0Oh16enoglUpZFxvXulXRxnxqnflys/X09ARduOiO+bBootkoEfiO3IK1BD1JFE1PT0On0+Gll17Cvn37AAA///nPceaZZ+K0005DYmJi0Of31ltv4fbbb8fTTz+NjRs34rnnnsM555yDxsZGZGdnz9n+66+/xplnnokHH3wQcXFxePHFF3H++efj4MGDWLlyZdDjAwvcognGdRaOq8wdXCQhTExMQKPRQK1WBxRsD6dHjDcQQtDT04O2tjYXzTSuxhIMadAk/U694MjoEYgEIvyq7KcQvnIBAKAj4VRM9faGJafDFNRRFIXS0lLIZDJ2FcjoVnG5Co8mFpJ6s6dsNsadOTg4iJaWFtbNxgS2/U2uJ0rdDhC+u87Zqv/oo4+wZ88eXHbZZYiJicEDDzyAK6+8Em+88QYuv/zyoI772GOP4frrr8dPfvITAMCOHTuwa9cuPPPMM9i+ffuc7Xfs2OHy94MPPoj3338fH3zwwfFJNEKh0MW94g2MqyzoYkMf44Y6ETvrhC1evBg5OTkBTXpcu86cpWTWrl3LFp8xY3ExwVHjzWh3I9Afl/4Yi3sOgLKbMK3Ihk5RiE0VFZwEnJn7KBQKXfzezCpcq9W6rMIZiyfabX2DxUJVb/bkztTr9dDr9WhtbXVxsyUkJHjMGpwviyaacDgcrF4hl6AoCnFxcXjsscdAURSGh4eDtiitViuOHDmC3/zmNy6fn3XWWazF5A/MgoNRGw8FC9515suycDgcbJ+UcFxlwY7rDXa7HfX19dDr9QHrhDmPyRXR+JOS4YTUTBOgpofQnvTdw7c0cSmuL9kC6pkNAIDh7AugVKk4zWryRJByuRyLFi1ikwqmpqag1WrR19eHxsZGNsuHqeKO9kTkC5G2aCZNNnzWMo6a/mmkqiRYKg594nd2swFwiS8wBO/cAkEmk50wFk2k5GecxT1Dmd/Gx8fhcDjYMgoGqampGB4eDugYjz76KIxGY9CWlDMWvEXjLUZjNBpRU1MDiqLCdpW5I5SJeHp6GhqNBjKZLCidsHDG9ARGSiYzMxNFRUUeXzqKosKe4KjxZhAA/1F+l3p5/4b7MfX13xFjHIZdngTxmi3A4GhY47iMGaBlyKSXFhQUwGq1sjGH+vp60DTNToaJiYlhFdNxhUis+DvHZ/Dcnh582jQOO/3db705R4glRdyMx7jZnLMG3fXBbDYbpqenkZiYGJVOo5Ga9H3BU8NCLsCl/Iz7MxaoZfvGG29g27ZteP/999kFRiiYV6LxN+F5i9EMDQ2hoaGBM1eZO4K1aJgWx7m5uSgsLAxp4gg3AcFZSsZfu2cuSI0aa8aL6u+SG25YcgN07WNIq/3n7AcVtwAimc/fNxTCC3Z7iUTikuVjMBig1WoxOjqKtrY2yGQyl6SCaE9SXFs0fXoTnvyqGx83jIE5clFKDMaNVuiMNujMkVEGcHaz5eXlsf1fmpqaMDQ0hN7eXr9uNi4wX66zSDw3BoMh7BqapKQkCIXCOdbL6OjoHCvHHW+99Rauv/56vPPOOzjjjDPCOo8Fb9E4T74OhwPNzc0YGhrC0qVL/d6oUBHopM+cz/DwsNcWx8GMGWrVdrBSMlxYNLsHvsTjCd+5BouniqEe/RCx5kEQWTwcK64BpTdwOpGGOzFRFAWlUgmlUonc3FzY7XbW9cPEHBhlXiadOhrxBS7GMFrseGFfH1452A+bY/aen1aUiJtOykZBcgzOeepbAEBpfHTiJUz/l/b2dhQXF7skcPT29oKiqDluNi5wPLnOuLBoJBIJVq9ejd27d+Piiy9mP9+9ezcuvPBCr/u98cYbuO666/DGG2/g3HPPDescgGOAaBjXmdFohEajgUAg4NxV5mlcmqZ9TjRMlhvjugvXBROqlTE1NYXq6uqgpGTCzTo7PHIY9xjqgaO3JlGQiFRlLIqq3wEAODbeAUhjQVFGzlfsXB5PJBK5NMOamZlhG2EZDAbs3bvXJakgVJkeXwj3eggh+LB+FI9/3oUxw2ziTGV+PG7/Xh5K02ZXwy8d6MOYwYpUpQTrUh3zIqoZiJvNuWg01HT1+bJoFrLr7I477sCWLVuwZs0aVFRU4Pnnn0dvby9uvvlmAMDdd9+NgYEBvPLKKwBmSebqq6/GX//6V2zYsIG1huRyeciZowvadcZYNIyrzFfcgUswqxNvKxUmDhJqQagnhEI0AwMDaGxsRH5+flBSMuFkne0b2oe79twFm9NQeeo8lE9/CcowAhKXDceqawFwYzk5I9ITJDMZCoVCDA0NITc3lw10NzQ0QKVSsZOhSqWa96SCXp0J93/choPdEwCArHgZfnVGAU5ZnMDeq16dCU9+1QMAuOXkXIiMHfMenHd3szlblm1tbTCbzSG72Y4n1xlX8jNXXHEFtFot7r//fgwNDaG8vBw7d+5ETk4OALCuTQbPPfcc7HY7brnlFtxyyy3s59dccw1eeumlkM5hQVs0TPV4Y2Mjli1bFlYwKhg4d/d0foBomkZbWxt6e3v9xkGCRTBEQ9M0mpqaMDw8jJUrV7JpvpEYyxlf9H+Bu/fdDTttx8kzJiQ7HHhXGYslqnQIv/krAMB+yj2AaDYRgmuiAaJXd0JRFDvRAd9Jw+t0OtTV1YEQ4pJUEKrrJxT3nJ0meOVgP57+ugcWOw2ZSICbNmXj6nWZkIi+m2RpQvCHj1phsdNYnxuHi5anYu/e9gWXTu1uWToXjTIToHMLBF/3mnedecbWrVuxdetWj9+5k8eXX37JyZjOWLBEYzQa2Re6oqIioq4ydzAPqvNkbLFYUFNTA4vFgoqKCs6F7gKd/M1mM6qrq0EICdllFwoB/Lfzv/jToT/BQRxYIynGjq7duDljlmgLu/aCclhA550KutTV73ssWTS+4C4NzxQyDg8Po7W1FXK5nHWxca0X5ozGoWls+6gNTSMGAMCGvDj8/pzFyIqf+xz8Y18fDvdOQi4WYNu5i9nffaHXtbinqwfjZjueXGczMzNRW1xHGvPuOvMEJosrIyMDRqORs0BhMOflnBCg0+lQU1ODhIQErFq1KiJyJ4EkILhLyYQ6mQVj0ZjtZvzlyF/w367/AgBWy1bjNzErIcZudIslAAjyhxtBRHLYNv/FpbkZV4WhDCJhIXmDv2w5lUoFlUrFZlgxrp/m5mbYbDZWlj8xMREKhcLrsx7oxG+yOfD01z145WA/aAKo5SLcdUY+Llia6nH/qr5JPPVVNwDg7s2FyIyTBzUeVwh3vGDdbJGa9H0hUhaNwWBAfn6+/w2PASwoi8bhcKCpqQkjIyNYvnw5EhMT0dfXB7vdHvXqbiYRoauri82cYSRcIgFfkz8hBN3d3Whvb0dJSQkyMzPDOo9AJ+yuyS78et+v0TnZCQoUTpOfhp+u+CnyR3bBQgGjRzXOsm12OE79LRCf6/HcucRCbBPgrhfGJBVotVp0dnZCLBazpOOpH4m/3/JQzwR+/2Er+idmW1ecU5aMX59ZgMQYz+/ExIwNv/p3ExwEOK88BRct+y47M5pEw6gaczmePzcbTdOQSqUYHBzkNJvNFyJp0RwPvWiABUQ0BoMBNTU1EAqFrEuImVSi0VbZHRRFobm5GSaTKSydrkDhbfXPqA1MTEzMkZIJZyx/Fs1HXR9h++HtMDvMUIlUuDL2Svxg3Q+QkJAAqrUXg0etOjlNQ5WzCfZ1Nwd8TaHiWNAvcxZKzMrKgsPhwOTkJLRaLbq6utDQ0AClUsm62XzdH5PNgb990Y3XDg0AANJUUtx7diFOXuxdWNFOE9z1nyaMTFuRmyDHPWe71nVFm2iAyEr2u7vZGhsbYTabOc9m84VIWjTHQy8aYIG4zhhXGdPWmHkwKYritJ1zoJiamoLNZgNN06isrIyKNeXJdcZIyTD9W7iScnHuVuk+6YybxvFXzV/xcc/HAIAiWRGuTrwap649lV0dUvoulmgWOQD7BU8ClOfJxB/RBDvxLUSLxheEQqFLUgHT6I1p9sa0Oh4cHERiYiL7G2v6p3DPBy3o0ZkAAD9YmYY7T89HrNT3K/vXL7pwoGsCcrEAj166BDFu20fz/kW726VAIIBYLIZcLkdBQQGn2Wy+4HA4IkJgMzMzPNFwAYfDgfr6etZV5inwJRKJwuqyGQwIIejv70dzczPEYjHy8/Oj5rJztzKY9tNZWVku5MvVWIDrSmzGNoO329/Giw0vwmg3ggKFM2POxOXZl2Np+VKXFZuw438YOCo9k56yDIj1XDh7Ilo0/iCTyZCRkYGMjAzQNI2Ojg6Mj49jcHAQzc3NkMgU+HRIgvdbDKAJkKKU4L5zi3BSgX9Bw50No3jpQD8A4IHzi1GUMtftEk2Lhnmeoy3Zz7yzgWazMdmDodbCRTK9mXedcYDe3l4YDAaf2VPRsmgcDgcaGhowPj6OVatWobW1NaqrP+ci0ba2NvT09GDp0qWcCYU6w9misdN2vN/5Pp6rew46iw4AsDh2Mc4UnInTy05Hdna2y0Qh/Ha2sdmAaPbFykgq8znWiRCjCRUCgQAymQwxMTFYtmwZavr0+N1/W9AzMZtRti6Z4PpVMmRJjJiZkfls9tY8bMAfPmwFAFxfmYXNpXNVKqJtYUR7PMB31pmzm40QgqmpKeh0OpfMwVDcbJFwnTE9mI6H7prAPBNNXl4eFi1a5PNBjAbRuKsdy2SyqLvsGNfZ4cOHYTabI5JC7TwWTWh80fcFXmh6AZ1TnQCAzNhMnBN3DvLN+Vi1ctWcJkvCb5+D6LPfAwAGjr6E6TG+NdV4i8Y/HAR48qtu/H1vLxwESIwR4/fnLMa6RTLodDqMj4+jvb3da7O3iRkbbv9XA8x2Ghvz4/GzU3I9jsP8FtGO0SzEdGqKorxms7W3t8NkMs0p0PV2HZFMBuBdZxwgkB4OwXbZDBZMLxt31YFoE83MzAzsdjtEIhEqKioi1jHSaDPi64Gv8fT00xg+OCstoZaocV3JdcidzAVFKKzcuNLVwiQ0hF88ANHBp9iPho9mTvkiGoC3aPyhR2/BQ99Mo3tyAgBw9pJk/HZzIeIVs/c3NjYW2dnZcDgcmJiYgFardWn2poqLxx+/0WNg0oLMOBkeuqgEQoH3VGogehM/k3G2EInGHd7cbHq9Hn19fQDgos3m/H7wrjP/WDBZZ94QTJfNYEDTNFpaWjAwMOBRoJPrRmS+0N/fj8bGRgDAihUrgg6Oe11p0Q6Mm8dBCMGB4QP4vP9zHBo5BBs9K96pECnww6If4vz089FW3wZlohJlZWWuL41pAqKPboOw7ZPZY+afDmHnZ5gWzU6Eaon3bDyuJ5jjyaIhhOCNw4N49LMhWB0EarkI95y9GGcv8SzMKhQKkZiYyFqZJpMJWq0Wj3zZjyP9VkgFwG0rpZiZGIdcmOgxtjhfRBNNcFWw6e5mYwp0R0ZG0NraCplM5lK7wzXROBwOmEwm3qKJFiJhWZjNZmg0GjgcDlRUVHhcNUTDomHSMUdGRlBeXo7a2tqgj/Fy88v4tOdTbEzfiNWpq/Fq06voN/QjX52PqtEqGO3GOftkK7NRYCvAnafeCbvBjiZNk8duoFTXVxB/dBuo6SEQoQT2c/8KiKSzRCMQAqARK/b+IvgS7zSbzWhoaIBIJApKtPJ4sGjGpi2498NW7O3UAwCWpYix48pVSFYGnlUol8vx5SCFz3qsoADcd3YuilQ29Pf3o6mpCbGxsex9ZZq9zYfr7HgonnQv0LXb7ZiYmGBbic/MzKCjo4PtQunLzRYoDIbZOB0fo+EAXHTZDBbj4+OoqalBamoqSktLvT6U4faH8QeTyQSNRsNKyfgT8nQHIQSdL92Ij6Xd6BDo0TrRihebXmS/HzDO1l4IKSEcxIECdQE2Z2/G9zK/h1xVLnbv3o2RnhE2+cElHqPrhOjLP0LY8uHsOcXnw37B0yAZqyA48g8AgOHoT+ePaDxBr9ejurqaJZfu7m40NjZCpVKxq/bY2Ng5+x8PFs1nzePYtrMVEyY7pCIBrl2pxqkZVFAkAwDftOvw8P86AAB3nJ6Hc1dmAcCcZm8NDQ1wOByIj49na8F4iyY8iEQil1bie/bsQVJSEoxGo183W6CYmZkBAN6iiRa4Sm8mhKCjowNdXV0oLS1FZmamz+0jadFotVrU1NQgJSWFJTvmGgMlmqb2Tqwcfh//FAiwVy7DHqUae+UyqMSxuHnJdRgiNixLWoblSctBQCASfPdTWywWtuUxqyNHaFB9ByCsehGClo9A0XYQUKBXXQv7934PSGatPsowCgcAE2YtlRixdx8yo0Dg7N5jFKeLioqQnp4OmqaxePFitr5Eq9Wip6eHrT9xt3aOVYtmxurAQ5924L2a2bhYSWoM/nxhCYTGMRiNc61OX2gfM+KufzeBJsDFy1NxzXrXZ9lTszedToexsTEAwMGDB1102SIVD5wvi2Y+xkxJSYFSqWTdbDqdzqObzTmJwxeMRiOkUmnEfptoY8FfBRcTvnNjsPXr10OlUgU0bqiNyLzBXUomKyuL/c6TkKcvLMlKwq6cO4HOr3CqowHnG4fYjopU6y9A1Nmg05aBpC0DSSgAUaaDxKZhymRFXV09lFY9lmemIrbpDQiGNBB0fAZqZpw9Pp1/Guzf+z1IyhKXcSnjGAxOwWZ/RMMej6bR2tqKgYEBVnHa+f6615cw1fQ9PT1obGyEUqmE1WqFyWSKul5XuND0T+G3/21Gn94MCsCPK7Jw6yk5EAsF6DaOBXUtOqMVt77dAKPVgTXZatx7zmKf+zs3e0tNTcW+fftQWFjoUsTI6LIlJCR4tCRDxfFq0bjDOUbj7GZjmus5u9ncs9mUSqXH8zUYDIiJiTmmnnNfOCZcZ1arNeQxJiYmoNFooFarA24MBnDvOnOWkvEkacPci4ATEGRqnHTFXbju1TOwtWscZ8cP4KFlY1AMfAMMHAE12QvhZC9w1P3FIBnAacwfDa6HJFIl6NKL4Fj1Y5DUcs/jWiZhPPpiSAQSSITeC1qZa7Jarairq4PJZMKGDRv8ZtIIBALEx8cjPn62g6fFYoFWq0V7ezu6urrQ29vLrsgTExMj0pCMC9gcNJ7f04vn9/aCJkC6Soo/XVCMtTlx7DbBWGhWO43b/9WIgQkzsuJlePzSJRALA59UGYL21OxNp9Ohu7vbRckgISEhrILlE8GiYWrfvHkh3N1s7soQgGc3G0M0xwuOCYsmFNcZIQS9vb1obW1FYWEhcnNzg1odMAWUXMBgMKC6uhoymcyrpI27YnQgEAkFeOwH5bj0uW/xkT4bw13L8OLVv4SUngE1pIFgpBbUcB0w0QuHvg8i8zgEZPb4dqEciEkGlVwMkloGOmcTSNZ6wAdxAABlnsT0UbkZX/EZ5pqAWVdNTExMyGnbUqkUGRkZGBoaQkZGBuRyObRaLXp7e+fEdiLViz5Y9OhM+O37zagdnAYAnFuegt9uLoRKNvf6AzlfQgju29mK6v4pKKVCPHl5OeIUwRGsJ0uQafaWmZnpYkky99ZZly3YZm8ngkXDzBGBjulsuXtys0mlUvy///f/oFQqIZVKObl/Tz/9NB5++GEMDQ2hrKwMO3bswKZNm7xu/9VXX+GOO+5gFfR/9atfsd04Q8W8E02gXTaDAWM96PV6rFmzhl0ZBwOuYjTBSMmEUuCYFCvFCz9aiav+eRhHeidw57v1ePyypRDnboIjdxOsVis0Gg2sVitWrVoFhVwOEBpf79mLsrKyOUWZfmGeYi2aWIlvotHpZpUGkpOTUVJSwklwn6IoxMXFIS4uDgUFBay1w6wQmYZlzOQYbdVvQgje0wzjod0dMNloKKVC3HPOYny/zHNfkUB/73/s78N/60YhpIBHLilFflLw/Zn8uRw9WZLhNHs7USwaACFlunlysw0PD8NqteLNN9+EVqvFSSedhDPPPBNnnXUW1q5dG/RC7a233sLtt9+Op59+Ghs3bsRzzz2Hc845B42NjcjOzp6zfVdXF77//e/jhhtuwGuvvYa9e/di69atSE5OxqWXXhr0NTKYd6Lxh2DraKanp6HRaFjrIVQhynBdZ4QQtLa2oq+vD+Xl5QFJyYRqRRWlxuKpK5fh+lersbtpDHe8U4fHLlsKk9GAqqoqqNVq1z46lDD0OiHLJBujiRF5Nu2dY1EAUFhYyMnKzNOihLF2mNjO1NQUtFot+vr6WGuHmRi5SDv1BZ3Rim072/BFqxYAsDZHjT+dX4x0dXhS9Z81j+OvX3QDAH59ViEq8/3rnnlCsLEtT83e3CVbfDV7i7ZFw7QliCbROBwOzopSRSIRMjMz8fzzz+OVV17Bq6++iuuuuw6ffvopnnjiCRw4cACFhYVBHfOxxx7D9ddfj5/85CcAgB07dmDXrl145plnsH379jnbP/vss8jOzsaOHTsAAKWlpTh8+DAeeeSR45togrEsGBXo3NzcsCe3cFxnVqsVNTU1MJvN2LBhQ8ApihRFhUxu6/MS8NQPl+PWN2vxadMYbnjpW/xg0TRKF+cjPz/fozURSgYXZZ6EQeDddcZoxmm1WqxevRrffvut13GCHd/f7ykQCOZYO0wmW39/v0t75sREz0WNoeLrdh1+/2ELtEYbRAIKP/9eLq5enwmBn3P2N/k3DRtw93+bAQBXrs7AD9dkhHyO4SRReFp96/V6aLVatLS0wGq1uiQVxMTERN2imQ9tNUZ+hmtCnZmZQWJiIq677jpcd911IZG21WrFkSNH8Jvf/Mbl87POOgv79u3zuM/+/ftx1llnuXy2efNm/OMf/4DNZgs5HjrvRBOI68xfjMbhcKC5uRnDw8NYsWIFG+gMB6G6ziYnJ1FdXc0mHwRj6oarRnDK4iQ8ecVS3PJGDfb3GqA3K/D3jZ6bpIU0FiGAeRKG2NmApbvrjGkzDQAVFRXsRM5lSnIwx3JekTMtgRnSaWpqYuMP4Vg7JpsDj37WibeODAEACpMV2H5BCUrSAq9/8Dbu2LQFt75dD5ONRmV+PH59VkHQ5+cMLn8HZ8kW52ZvOp2ObfYmk8lgt9vDmqCCQbDxEq7GjIb8TCjXND4+DofDMUf1JDU1FcPDwx73GR4e9ri93W7H+Pg40tN9S055w7wTjT/4c53NzMxAo9GAoiifKtDBIhTXWV9fH5qbm0NKPgDCT0CwWq1QTHbjzlViPNtA0DxqwhV/P4QXfrQSBcmubi5fVfteYTOCIg7WdaYQfRcnmJycRFVVFRITE1kZG2Zi42qC46olcH5+PqxWKxvbqampAQDW0gk0+aRhaBq/eb8Z3drZnjE/WrsIP/9eLmTiwCceb/fGbHPgtncaMTptRV6iHA9fXAqRFw2zYMaKhCvLW7O3np4emM1m7NmzZ05SQSTOYz6IJlKCmlw2PXO/1/6eA0/be/o8GCx4ovFlWYyOjqKurg7p6ekoKSnh9AcPZtJ3bkE9p8o+CIRj0UxNTaG6uhpKpRJbztmI71VaceNr1ejRmXD5C9/isR8sxSlFSS5jBU0A5ikAwMzR4k+GaIaGhlBfXz+HYJ3bEXAFro4lkUhc4g9MbKe/vx/T09MQCoXo6OhgrR3nZ8tBE7y4vw9Pfd0DO02QHCvBH88vCjl24unFvvfDVtQPTUMtF+HJy8s9ZqsFi2jVHzEp0kajESKRCIsXL56T0uvswuSqoR8zT0RbxHOhCmomJSVBKBTOsV5GR0fnWC0M0tLSPG7PSEWFinknGn8PBUM0zi8JTdNob29HT08PysrKkJERut/a37j+YDKZUF1dzYlFFSrRMBN9Xl4eCgoKQFEUchNFePMna3Hrm7U40juBm/6fBr84rQA3bsplg5fBjkXZZlfupqOCmjKRDK2trejt7fXqsgw1FuRx/AhNIM6S8fn5+ejv70d/fz/MZjObbcVMimZhDLZ90omqvlnSPaM4CX/4/uKgU4194dk9vfikcQwiAYXHL12C7ARurPRoF7oy47mn9DJ9YAYHB9HS0gKFQuGiyxbqxM0kAkS70VokiGZmZiZkNxUDiUSC1atXY/fu3bj44ovZz3fv3o0LL7zQ4z4VFRX44IMPXD779NNPsWbNmrDcn/NONP4gEonYbBKhUAiLxYKamhpYLJaI92zxRzRarRYajQapqalYsmRJ2BZVsETjnNnmqUNpQowEL12zCn/8uAVvHR7AY591oHnEgD9duCQ0i8ZhBgCYBbMvln5Uj2HZsM+EBy6JBoiOBI1IJIJEIkFZWRmbbTU+Po53DvXglUYLLA4KMhGFX5y8CFesywlronGf/D9pHMPTX/cAAO49p9CluDNcRDs47ykDzL0PjM1mY5MKmpqaYLPZXAoYFQpFwMQxX6oAkRjTaDRyMrfdcccd2LJlC9asWYOKigo8//zz6O3tZeti7r77bgwMDOCVV14BANx888148skncccdd+CGG27A/v378Y9//ANvvPFGWOex4ImGeYkZv29NTQ0SEhJc03UjNC5T9evJtdHV1YWOjo6AdNMCRTBEY7PZUFNTw1bbe3soJSIB7j+/FKVpSvxxZwt21o+gc9yIrUtFSAzWerLPKjTMHCUaMcR+1RZ8EU2wK8/5KMSkKApELMfTGgt2NVkBUFiSIsNNy2UQWwawd28/4uPj2aSCcNxA9YPTuOeDFgDA1esX4ZIV4a1o3RFtiyaQTCmxWIyUlBSkpKSwXSWZZm8dHR2QSCSsNelPJ2y+dM4i5TrjgmiuuOIKaLVa3H///RgaGkJ5eTl27tyJnJwcALPeEKatNTDbjHLnzp34xS9+gaeeegoZGRn429/+FlZqM7AAiCaQlFUA6O7uRk9PD4qLi5GVlRXxF8abmrLdbkddXR0mJyc9SsmEg0CJZnp6GtXV1YiJicGGDRsCMml/uDYTi1NicNtbdWgeNuB3Ogr3fE+B3NwgTtBhAQAYj/LG4tzFfsc+Fi0aZxzo0uN3H7RgdNoKIQX89OQcXF+ZDZGAculTwriBYmJi5sjz+wIz+Y9MWXDbOw2w2GlsKkjAHaflc34t8+E6C2bipygKsbGxPpu9MSoQjE6Yu54eb9HMxdatW7F161aP37300ktzPjvllFNQVVXFydgM5p1o/IHJABoYGOB8YvcF5uFx9sEGIiUT7pj+iGZ4eBh1dXUh1QqtyYnHuzetwy1v1KBhaBp3fzqIaUEsfrTeP3ETQjA22IdMABaREACBXOQ/dnAsxGg8weogePh/HXjl4Gy7hZwEObZfUIyli74TZHXvU2Kz2di6nfr6etA0za7GfVk7FgfBz95pwJjBisJkBf5ysfcumeFgIVo0vuCp2RuTVNDT0wOBQOCSVBAp68IXItld83hpEQAscKJhMqkEAgHKy8ujRjKAq0UDfDfB5+TkYPFi34q5ocIX0RBC0NbWhp6eHixbtsxr1og/pKtl+H/Xr8Gtr+zHN71m/PHjVjQOT+O+80ohEXlemdE0jaamJtD9PbNEIxACsIdNNKHcw2hYNF06C+7fb0L/9Kx8/+Wr0nHn6flQSHxPKGKxGKmpqUhNTXWxdoaGhlyC3omJiay146Bp/O3gFJqGzYhXiPHE5WWIlUZOtj+a4Dom5Nz1klGB0Ol0bF2UTCYDTdPQ6/UBWZNcYCFnnS0kzDvReJpsCCEYGBhAU1MTmwUUbZOYEbm02+1oaWlBX19fWBN8IPBGNDabDbW1tTAajZwkQMjEQvx8nRqLk2R4qXoC71UPYXjSgmevWg6pWw2I1WpFdXU17HY71hflA62A+ehvJhP5l1Y5liwamhC8+u0A/vp5L2w0QYJCjPvOLcKpRcGndfqydphmZAkJCXizwYD9/TaIhRR2/GAJMuO4yTDzhPmwaCJlYTirQDB1Ud3d3RgZGXFp9uacVBAJRMJ1xsSqjpfumsACIBp3OBwONDY2YmxsjK1JGR4ejnhbZU+gKAp1dXVwOBxBScmECk+ZbgbDrF6ZQqEIqs2BPwiFQlxUosTGsjz87K1a7OvU4fZ36vDEFcsgOio9Pz09jSNHjiAuLg6rV6+GpOV9AIDj6GQloPy/YMdKjGZ4yoJ7PmjBwe4JAMDyZCF2XLUaSbHcuEfdrR2DwYB3D/fivx2zPXl+VCyEyjIGnc6BuLi4iCysFnqMJhxIJBIolUoYjUasWLGCbfY2OjqKtrY2tvlYYmIip83eaJqOiHDrzMxMxMhxPrCgiMZoNKK6uhoikQiVlZWsOixXXTaDwcTEBOt/DUU1NRS4Ew2j/Jydnc25u46pozmpOBHPXLUcN76mwect4/jr552488xCjIyMoLa2Fvn5TlppjtmsM8IUZML/+fgjmmCIg2vSYvBxwyge+KQd02Y7ZCIBblyXhFUqI2ck4w6KotA5RfDEwVl164tLYvCjjVnQarVobGxkV+OMm82fSnKgONZiNKGMx9TRMM3ecnJy2OZjWq2WbfamVqvZpIJwmr1FMhmAt2g4BPMDDw8Po76+HpmZmSgqKnL58SLZVtkTGCkZsViM/Pz8qLVTFQgEsNlsIISgvb0d3d3dWLp0aUDKz6GMxdzTDXkJ+PPFS/CLd+rx/J5uLJLMINE6MtdVyEjKHP0zXKKZ77bMU2Y7HtzVjo/qRwEAZemx2H5hCeS2KQwOzkRs3NFpC25/pxFWB8GadAmuXhHnkuJrMBig1WrZHiUKhcJlNR7qxHY8WzSA96wz9+ZjXDZ7i0QygN1uh8Vi4ZMBuAQTaB4YGPAqpx8tomGkZEZHR7Fq1arZADhHzc8CAUM01dXVmJ6exoYNGyK2qmHGYvD98jQc7NLhzcODeGr/KN6/eR0S4tySL9hJ6ihBBDBncR2j4epYh3om8Nv/tmB4ygIBBdywMRs3nZQNsVCA4eEpTsbwBKudxh3vNmHcOJthdttaBYROk6PzapxRSWZiO87WDkM8wShRzMfEPx8WjT94avam0+lCavYWiTiUwWAAAN6i4RImkwlTU1OoqKjwmmURapfNYM/DWUpGJpNx2mUzEDAKqXFxcS7qx5GA+6RtMpmwSaXDTgmFURPBxy1T+L/17ll+RyWA2L/Cd50x/TyiNQFa7TSe/LobL+3vBwGQGSfD9gtLsCJT5XdfLrD903bUDExBKRPhb5eVYXqoy+f2IpFoTkGjVqtlYw9MT5hArJ0T1aLxBedmb86tJZhmb0yKunurZQaRcJ0ZjbPZjnzWGYeIiYnBunXrfL4AwTY/Cxbj4+OoqalBWloaSktL2Qcn3OZnwWB0dBQ9PT2QSqVYs2ZNxCcEZ60zvV6P6upqpKem4menxeJPn7ThzcP9uGqdW4sBRiTzqEUTKtEQQkAIYe8ts4hgCMcb8YRr0bSPGfGb/zSjZXT2Rb5keRp+dWY+YiKUTuyOd6qG8K/qYVAA/nJRCbLi5WgcCjybzrmgkYk9eJJvYYjHfVKMtqtyoVo0vhBIszdnN2YkLBqj0Qi5XB71mqBIYt6JJpDudJFynRFC0NnZic7OTo9SMtFw2TmfQ0ZGBkwmU1ReTkbrjKlBKC4uRnZ2NrJMNjz8vw60jhrRNDyNJenOK31GjXn2n4Gcpzs5MLp1zEpQKpWyoqnM587nyPzHHCsU0ITg/x0axOOfd8LqIIiTi7Dt3CKcXpzkf2eOoOmfwoO7ZjuO3nZqLk4qmFV6Dmfyd+8J48nacZ4UeYsmOATS7A2YXajK5XLExMRwcn8NBgNnx1oomHeiAQJrfmaxWDgd0263o7a2FlNTU14VByLtOmPkbKamprB+/XoYDAZWRj0amJychFardWltoJKLsbEgAV+0jOPbLr0r0bilMwdr0TBWDLPSdbYcAbDacsw2zH/MNgwZBYORKQvu/bAF+7smAAAb8+PxwHlFSFb61iTjcvU/Nm3BHe82wk4TnFmShOsrs1y+52JC8WXtNDc3w2azQSaTQSAQRC11dj4smkgm7nhq9nb48GEYjUYcPnwYYrHYRZct1FIEo9F4XKU2AwuEaPyBa8vCuTbFl5RMJC0aJpVbKpWy8ZiZmZmoxISsViv6+/thtVqxcePGOQ/18kVqfNEyjrrBadcd3VxngYAhGmcC8SblzhCOsyoDs4/dbofRaIRarYbNZvPpYmPwadMY7tvZhimzHVKRAL88PR9XrE6P6uRnc9C4870mjBmsKEhS4IHzilzGj5Q7y9Ok2NbWBoPBgIMHD0Imk7nEdiLhpom2ReNwOCIa13QG0+xNIBCguLgYCoWCTSro6upCQ0NDyM3eGPkZ3qKJMriM0QSjFRapGM3Y2BhqamrmpHKH28o5EDAkKxQKoVarPa6cFqfOBiG7te4pvrP3Snj0/w7i/94wsSB/JOMJjNvMYrGgvr4eFEWx7k1PLjbm3waLHdt3teO/dbNpy6VpsfjzhSXIT4r+KvGvX3Sjun8KSqkQf72szGM8KBrxuJiYGKjVakgkEhQVFUGv10On07EuoLi4OJZ4uFpNH4sxmmDBuICdU6QLCwthsVjYDq7BNns73uRngAVCNIG4zsKd8GmaRmtrK/r7+z32bvE2LpcTv3N7AU8N2yJNNKOjo6itrUV2djYUCgUGBwc9bhcnnzX5DRa3TL+jrjP5UaIx2U0+x2N+U8ZSC6Up1fT0NDQaDeLi4rBkyRKP1g4hhE0oqO6fxu93tmNwcjZt+fqKLPz05ByIhdGdgADgi1YtXj7YDwB44Pxi5HhoYBbNAD0To/Fk7Wi1WoyPj6O1rR1mSgqHVAWhLAaURAGrg0AuEUIlE0EtEyEvSQF5AO2qj/UYjT8498lyh1Qq9dvsjSEd92ZvXLZxXihYEETjD+GmNzPN0qxWq880ancwWmdcwG63o76+HhMTE15jQpEiGmeCKy8vR3p6OoaGhryOxYhHGq1u1y6cJSDF0WQAX0TDvIQJCQno6elBb28vWzSXmJgYkP96fHycVUZg1QmOwtmKoWkaFpsdT33dgxePpi1nqKW4//sFWJ0dhwgIIfvF4KSZ7S2zZd0in4kH0Vr1u0/8ZpsDjcMG1A5MoXbAgC6tA316MSx2OwDd0f/mQkgBBckxWL5IhXPKkrE6Ww2Bh2s43i0a5v3x53YMtNlbXFwcJiYmYDAYIhKj0ev1uO222/Df//4XAHDBBRfgiSeeQFxcnMftbTYb7rnnHuzcuROdnZ1Qq9U444wz8Oc//znorsbHBNGE4zqbmJhAdXU14uPjg26WxlUSwszMDKqqqiCRSHzGhCJBNA6HAw0NDdBqtS4E58uKNNlmz0Hhtmol4tkVuZymAYF3omHiMYQQ5ObmIjc3F5OTkxgfH0dXVxfq6+uhVquRnJyMpKQkjxk2vb29aGtrw5IlS/y2tO0YN+Hu9xvRODRb6HbBslT8+ow8KMQCF2vHX/o0V7A5aNz1XhOmzHYszVDiF6fled02mhaN3UGjVWfD/77qxr5OPRqHDbDTc8cXCSikqaSIlQohE1EQEgemTVZMW+ww2ChM24DWUSNaR414p3oIGWoprl6fictXpbtYjvMx8Uc7JgQg6DHdm70xFqVGo8GPf/xjSCQSpKSk4L333sPpp5/OmWr9VVddhf7+fnzyyScAgBtvvBFbtmyZ07qZATNv3XvvvVi+fDn0ej1uv/12XHDBBTh8+HBQYx8TRBOK64wQgr6+PrS0tGDx4sXIyckJenXFheuMqdHJyMhAcXGxz4eSa6Ixm82orq4GAFRWVrr4hX2NNW2enZiVMjerQzy7ypLTs7+FyTGXaLwF/ZmiuMWLF8NkMmF8fNyliyJj7cTFxaGjowPDw8NYvXq119UWADhogpcP9OFvX3TB6qChlouw7dxibF7ynVvUOXvNX/o0V3j2m17UDk5DKRPhkUtK/brtIrnqN9kc2NOhw+6mcXzTPg6DlcDZUkmKkWB5phJLM1QoTo1BToIc6WoZRB7MQIfDAZ1Oh/bBcVT36FA9YoNGJ8DgpAV//rQDbxwexG83F6Ay/7vU7WgTTTRrT5wzIkMFEz+LiYlBdnY2uru7ceONN6K7uxu/+93vcMUVV2Djxo3YvXt3WIK6TU1N+OSTT3DgwAGsX78eAPDCCy+goqICLS0tKC4unrOPWq3G7t27XT574oknsG7dOvT29iI7Ozvg8RcE0QRSRxOMC8tZAXr16tVISEgI6bzCiQ0RQtDd3Y329nYsWbIEixYt8rsPl0TDWHJJSUkoKyvz2Lvd22p6aNIMAEiM8Uw0CocdgBAmmyvRBJJZBsz2FcnKykJWVhYcDgf0ej3Gx8fR3NwMs9kMoVCI3NxcnwHTXp0Jv32/CVV9kwCAkwsT8MD5JXPSlt1dbM7WljdrJxxo+qfw932zrXH/8P3FyFBzI4gZDMw2B/Z06LGraQxftWlZCxUAYsQUNhYm4qT8BKzLjUOGWhrwNQuFQja2U7F8dsU7MDKG92tH8G6LCT06E256ox7/tyIRt59ZNC8intG2aLh4ZpyhVCqRmZmJwsJC7NixA729vTh06FDYqu379++HWq1mSQYANmzYALVajX379nkkGk+YnJwERVE+F4CesCCIxh+YCT+QB3dmZgYajQYCgcBFAToUhDrxOxwO1NfXQ6/XB9UVlCuiGRwcRENDg09LztdYneOzlfMFyW6xLMaiYYjmqEXDTNqM1RDMyycUCln3mU6nY1V1dTodOjs7ERMTw1o7arUaFEXhrSODeHh3B0w2BxQSIX5zViEuXek/bdlb+rR7sajdbmc/C2bimrE68Lv/NoMmwHnlKdhcmux3H64mYwdNsL9Lj//WjeDLVldyyVBLcVZpMgplRpQky1BctDjs8YBZzbDFeTn4ZV4Obpix4OFdrXi/UY/XNVpoevbhx0UODA8PIz09HQqFIvL9hObBVReppmfM4jg7Ozsoy8EbhoeHPSZApaSkYHh4OKBjmM1m/OY3v8FVV10FlSo4yaZjgmiYuIq/H3ZsbAy1tbVIT09HSUlJ2A9dKBbNzMwM2+qgoqLC56rcHc5FiaGcOyEEra2t6Ovrw4oVK5Cc7H2i82XRdIzNEk1+kivRMDEahcMGQAqT3eRCMMw1BDuhTExMoKamBikpKS7uRZvNxmZD1dTUQG8meLtbjJrRWTHQtTlx+NMFJciMD61ZmCdrx2QyYXBwEAqFgrV2mGvyF9t57LNO9OrNSFNJcffmwpDOKVgMTprxn5ph/LtmBMNT38UT01VSbF6SjLNKklCeoQRFUWhubmZ7DXENtUKKP168FJVFo/jDh61o0NP4e7MAd6on0d/fD7FYzKZPx8fHR6Swcr4sGq4RTBvnbdu24b777vO5zaFDhwB4bzIZyPtqs9lw5ZVXgqZpPP300wGdmzMWBNEE4joDvEtyO8u4BOqmCgTBEg0T0AuV6JwnvWD3de7CGUiTNm8WjYMmqOmfdUeVZbipx7pYNMCMbYa1CJzPPxgMDw+jsbERhYWFyMrKcnkWxGIx0tLSkJqaig/rRvDnj1sxbbFBJADOz6ZxfrEVVv0QpoRJUCqVYa2YBQIBDAYDqqurERcXh9LSUpZEnRUJvCUU1A5M4e2qIQDAA+cVQSUL7NUKJRnA5qDxRasW72mGsa9Tz5bPqmQinFeegnPLU7A0Y+79iIYr6/tlKUiOleCWt+rRPAm83inBY5eehKmjKhQdHR0wmUys5ZqYmMiZ3Mp8EE2kLJpAlZtvvfVWXHnllT63yc3NRW1tLUZGRuZ8NzY25rdrsM1mw+WXX46uri58/vnnQVszwAIhGn9gHh673T4nY8tms6Gurg7T09NYv359SDfB17iBEA0hBD09PWhra/OomRYonF06wcBoNKKqqgpyuTzgLpzeLJq2UQMMFgdipEIUpbiRFWPRHD0/k90Ucn0Mk3LN9NzxZn3pjFbcv7MVnzaNAQCWZijx4IWlyFSJ2ISC7u5ul54jCQkJQa+YdTodampqkJWVhYKCApfrcZfGcU8ooEHhgY/bQABcsDQFG/Lig7oPgd67zvEZvKcZxgd1I9DNfNfiYX1uHC5ZkYbTi5MgFc2/evPanDg8edkS3PRGHb5s1+OJr3txx2n5rMyRyWSCVquFVqtFV1cXZ9bO8eI6C0YiyLnPji9UVFRgcnIS3377LdatWwcAOHjwICYnJ1FZWel1P4Zk2tra8MUXX7C/YbA4JoiGKTJzn/Snp6dRXV3NtjnmWn4ikKwz5/ThtWvXBh0kc4azRRMoGLfSokWLUFxcHFTVvadxvu3WAwBWZKrnulmEUhBKADlTiGmbCYlkaJpGY2Mj9Ho91q5d63X19lnLGLZ92AKt0QaRgMJPT87FDSdlQ3T0Pi1atAiLFi0CTdNsQkFbWxtMJhPi4+PZ9Gl/L+3Q0BAaGxtRXFzscZHgSxqHEII3Dg+gecQIlUyI20/N4XTCm7E6sLt5DO9phlHV912fnORYCS5aloqLV6QhK0DXYTSD86uyVPhhAY1X24V4cX8/ytOVOOtozEoulyMzMxOZmZlwOBys5l641s7x4jozGAyc96IpLS3F2WefjRtuuAHPPfccgNn05vPOO88lEaCkpATbt2/HxRdfDLvdjh/84AeoqqrChx9+CIfDwcZzgm0QtyCIJpAHyd2NNTQ0hPr6+oCkZEKFP4uG6WEjEAhQUVERdstdJg4QCNE4W1GhuAu9WTRftY4DADYWeFi5UBQgjoGCnnWdmR3moO+71WpFTU0NaJrGunXrPMaw9DNWPPhJOz6qnzX1C5Nj8OeLSrEk3fPLJxAI2ImpuLgYMzMzGB8fx9jYGCvtzqz84uPj2cmByQzs7u7G8uXLA1oZMuMxxzCYbfjHgVmFhVs3ZUMtE7rEdvylT3ua/AkhaBw24D3NMHY2jMJgmX0GhRSwqTARl65Iw0mFCR5TkH0hmkRD0zTWJBOIkhbhxQMD2LazDUszlEh3y8Jzlm5hUt8Z6RbG2mEq6H1ZquHENkNFJF1nkZCgef3113HbbbfhrLPOAjBbsPnkk0+6bNPS0oLJyVnXeX9/P1vcuWLFCpftvvjiC5x66qkBj70giCYQMERD0zRaWlowMDAQsJRMOGN6m/R1Oh00Gg1SUlKwZMkSzh7wQDLPGItgdHQ0ZCvK0zhGix0Hj1o0pxa5TrpsvEIeD7l1VkPMUx2NLzBCokqlEuXl5R5f0l2No/jjx63QGm0QUMCPK7Jx66m5kIoCf6EVCgWbrcN0qBwfH0dDQwPsdjtLSnq9Hnq9HmvWrAl5BfmeZhj6GRsy42S4bE0mRAKKTY4Itlh00mTDzoYxvKcZQvOIkf08M06GS1ek4YJlqUjxozrtC9EkGmYRc+spuTjcO4W6wWn85v1m/PNHyyH0QZDO1g5N05iYmIBWq0VnZycaGhqgVqtZ4nEWngwnThgqIuE6Ywo4I9FdMyEhAa+99prf8Rnk5uZyVlB8zBCNSCSCyWRCe3s7bDZbUFIyocJTWjUhBL29vWhtbWV7uHAJf0RjsVhQXV0NmqbDSt92VlVmrm1/pw42B0F2gtxFgNKl9kSeAIVl1tLwp3XmDK1Wi9raWo8xEAAYN1jxx4+/i8UUJsfgTxeUYOmi8GJu7h0qDQYDRkZG0NbWBrvdjtjYWIyMjICm6aAUdoHZoPw/98/WzNxwUg6k4tnXyV/6NPCdtUMTAs2QCX/7thm7m8dhsc/+9mIhhTNKknDpijSszYnzKPESLKJt0QCARCTEQxeV4Ad/r0JV3xT+sa8PN54U2DsjEAjmWDtMW+uenh4IhUJ20cDEZo8H1xnfJiBCCOThJ4SgubkZycnJWL16dUT7TjBwnjAY0mlsbMT4+DjWrFmD+PjAg76BwhfRTE1NoaqqCnFxcVi6dGlYqyln9xFz/z9vmXWbnVqU5EKszvUxUCQgVjd7ftPWaQ9Hnov+/n60tLSgtLR0jkYSIQQf1Y/iwU/aMGGajcXcsDEbN23KhcRHYDsUUBQFsViMsbExqNVqlJSUYHJyEmNjY6iqqgJFUUHpsR3s0mN02ooEhRgXLk+b872vYtE+3Qw+qB/De9VGaM3fWS+FyQr8YGU6zi1LQZwivCI9d0TbomGuPStejt9tLsTvPmjBM9/04HtFiVicEvwiUS6Xu8TlJiYmWBcb0/64r68PSUlJUZHZj2QdTSQsmvnEgiAaX2CkZKanp5GWloZly5ZF7WVxniRsNhsr58JFPMbXmJ6IhmlvkJ+fP0dgMhS4uxwcNMEXrbPWxGnFyex37pX+RBaPxKMr8wnLBBzEASHl+WUjhKCtrQ2Dg4NYuXLlHIWG0WkL7vuoFV8cjQuVpMXiTxeUoDQtMi8ZkzySmJjItuxWKBRIT08HTdNz9Nji4uJY4vEUlD7YPQFglpglfupTBAIBpsw2fNasxfs1w/i2Z4L9LlYixObSRJxfnoylGcqIyOIA0bdonMc6f2kKdjeP4cs2He79sAWvXbsy6BiTM5ytncLCQkxMTKCqqgrT09Po7e1lYz9MbCfcynpPiIRFY7VaYbPZeKKJJpwzuuLj49nK8GiBWa1otVo0NjYiOTnZRao+EnAnGkII2tvb2YA1VzEpZxIVCoWo6p2AzmiDWi7Cmpw4F30w58wyIk9AgoOGAAANGhOWCSTK5iYOMGrVRqMRa9eudXFzEkLwn5phPPRpO6bMdogEFLaenIvrN2ZHTM6fcd3l5OQgLy9vznMkEAgC1mNLSEiAUChkCyQLkr27ObRGK75u02JX4yj2depZEUsKQGkChf+rLMDmsjRIRQKvnUUDKRYNBPNl0QCzC5t7z1mMI31H0DBkwEsH+vCTSu7czmKxGAKBAMuWLWMXDVqtFt3d3WhsbIRKpWKJJ9yaKwaR6OjJWGZ8P5oIwNOPzlTYC4VCVFRUoLW1NWLdLv2dV21tLRuPifSL6kw0zq2eN2zYwOkqx92i2d00G+A/tSgJQspVmdalI6QiAUIA8ZQYWmKD1qydQzRmsxkajQYikQjr1q1zWU326024f2cr9nTMCjuWZyjxpwtKsNi9ZodDDAwMoLm5OSAlaAa+9NisVisSEhIgPRon/V/TGNbnxiNeIcbotAU9OhOahqZxoFuPFqegPgAUJCmwPN6OjRlCnF6xyiVF1Fv6tL9i0UAxnxYNAKQopfj1mfm454NWPP11D763OHGuzFEY4zk3v2MWDYWFhTCbzWxsh0trx+FwBKX8EQgMhlkFcp5oogBPUjJcdtkMBExmFwAsWbIk5CLMYMEQDUO0YrE4IjVC7rGD/zXPus1OL0pk7zOzknaBfNb9lUQE0ALQmrUuX09NTUGj0bi4p4DZwPkrB/rw1FfdMNtpSIQC/OzUXFxTkcXWxXANQgg6OjrQ19fn0XUXKBg9tqSkJBQXF8NoNGJ8fBxrE0fwgYCgun8KP3jBu2x6SVoszihOwqmFakz0NEMuV2DZsmVeLWNvsZ1w1afn06JhcMHSVHzSOIY9HXrc+2ErXrlmRVguNAa+UptlMhnbhIyxdnQ6HXp6etDY2Mi2XA7W2omE64xJbY5mUkM0sGCIhqkf6ejoQFdX15wOlFx02QwUzIqcpmlIJJKodrsTCASYmppCQ0MDZ5ptnsC8TDRNo2l4GgMTZshEAmzIi/NMMEdBGKKhCVoErkQzOjqK+vp65Ofnu4h51vRPYttHLezqfn1uHP5wbjFyEyOXWUPTNBoaGjAxMYG1a9dy9htSFIXY2FjExsYiNzcX2Xk6PPFFB+qHjTDbCGLEQKZKhPzkWJxUlIqNhUlIiJGwLbSTkpKC+k2di0UZy8ZTZ9FArJ1oWzSezoOiKPzh+0W4+PnDqBucxqsH+/HjiqyIjecOZ2unoKCAbbms1WrR19cHiqJYa8dfQkgkkgEMBgNnkjwLCQuGaGw2G2pqamAwGDxKyXDVhMwf9Ho9uyIvKyvDnj17ompJWa1WdHV1obS0lPPUaXcwIp67G2fdZhsL4hEjFft8yBmiSbTZACkwbhpni0c7OztRXl7OxpEMFjt2fN6JNw4NgGC2RfSvzirAhcvSIvoiMc+Sw+HwWhTKFVbmJOCf137Xf2VqagpjY2MYHx+HYawR7RYVYmJiMDIyguzsbI+p3YHC2TUEBN9rJ9oWjbex0lRS/OqMAvz+o1Y8+VU3Tlmc6JJOHwpCnfSdWy7TNI2pqSnWxdbU1OTT2omERROM/MyxhAVBNDRN48CBA5DL5aisrPS4ioiG66yvrw/Nzc0u8vpcND8LBDRNo7m5GTMzM5xJg/sDRVFwOBzYfbR25YySZL8TEYmdFeBLthgBqQJak9Yl5VulUoEQgg/qRvDI/zowbrACAC5cloZfnVWAeAW3LkB3MGoNcrkcK1eujGojLOeWvYWFhbBYLOjs7ER/fz8EAgEGBwdhtVpD1mNzhycXm69iUc6IhhAIBw5C2PkZhINVEEwPArYZQCgBUaaBjsuDUrYIcY40wLESEM79zS9anopdTWPY26nH7z9sxctX+y7k9AcuVAEEAgHi4uIQFxfHWjtMbMfd2klISIiIMgBv0UQQAoEAy5cv95n7HknXGU3TaGpqwvDwMFatWuUiHBcNl53VaoVGo4HNZkNiYmLEUqedwfjQO0am0DZmhEhAzVED8LifctadmWwzA1CgbagNGxM3Yv369ZDJZGgansafPm5jG5LlJMjx++8XoSI/tPhIMJicnIRGo0FqampQum+RwujoKIaGhrBixQpWiSBUPTZ/8Ndrx2azwWazweFwwG63h5xCLWrfBcnehyEcb/a8gWEIwqFqJAJIBEAaH4AjYw3suafAkX8G6IRC4Khr9g/fX4yLnz+CmoEpvHZoANesDz0OGgn5GalUivT0dDb9nbF2+vr60NTUBIqiMDY2BqlUGnSxrzcE0yLgWMKCIBpgtm2oL8sh2C6bgcJisUCj0cDhcKCyshJyuatAYaAKzqFienoaVVVVUKlUWLVqFRobGyNuQTHBZbVajTe+aQQgQHmKFEKHBYSIfL8wYjmIIhEZ9hkAgNahxZo1a2CwETzycSvePDwAmgBysQA3b8rFNRuyOC+89ISxsTHU1dWhoKAgKtmBvsCkpA8MDGDVqlWsRFAoemyhwplIrFYr6urqIJFI2Pcs6PRp8wRkn94FcdvHs9coksNedC7s2RtB4nJBJLGAwwLBVD8E+m5Ye76FdPgwJLYpiHr3QNS7B/j6T6DV2bDnnw57/ulIz9yAO0/Px/0ft+GJL7tx6uJE5CSE1lso0jpnnqydb7/9FhaLBTU1Nay1w1g8oSbvRErnbL6xYIjGHyLhOmPaHSckJHjV3oqkRTM6OoqamhoXYdBAtM7CgXMG04oVK/BEXTWASSxPonDw4EFIpVJ2le1twrMp0pA92QIA0NE6/L/Dg3j2m15MmGal688pS8EvzyiYI6AYKfT19aGtrQ1lZWV+e2tEGu7K1N4mjUD02BjiCSfGZLVaUVVVBYlEglWrVrGu4GDSpyldJxT/uRYCfSeIQATr6hthXbcVkMXNvf60FQCAwaxBjAwPY3VOLIQ9eyDq+hzCvv0QTPZCUv0iJNUvgogV+FHWRoynZ+OdkSX4/YexeHHL8pDkdqItqCmVzrbALiwshFKpZK2d/v7+ObGdYKwdnmgijECan3E54TMPRGFhIXJzc3267Lie+J0btS1duhRpad/Jl0SSaNwr/QGgcXg2E+z8ijIUpyig0+kwNjaG+vp60DTtMuFJJBIMDg4ixi5Hpt0OCoDBZsBDn9WCOGJQmByD3529GOuD6McS7vUwygPOlsN8wW63o7a2FhaLJagkBHc9tunpaYyPj2NgYABNTU2IjY1FUlISkpOTg5q0TCYTay2XlZW5JBMEmj4t0rdD8c4VEJi0oJUZMF34D9CpS/2OTQiBQCgEnVgEOrEItlXXAbYZCHv2QNCxG5qBL/CR0Iov7Y2YiGsBpf4UDguFv7ybj19f8gqoIEkj2kQDfKfe7Byby8/Ph9VqZRWoa2pqAMAlk82XtcO7zuYZXBENE3QfGhrCypUr/UrDc+06czgcqKurw8TEhMfsukgRjadK/8FJM1uZX5gSA6FQgOTkZCQnJ7MT3tjYGHp7e9HY2AiJRAKr1YbimFykTxxGjE0Mg9iGePUkbqtYhUtWpkWsJsYdDocD9fX1mJ6exrp16+Y9U4cROxWLxVi7dm3IgX6KoqBSqaBSqVwmrWD12Jh0aqY9tjdy8tVrh9J3IeZfP4TApIU9uQzGi14GYlMQyC/sqWBz0DqB/1o6sYtux0icBMDshCsmgI2i0CkDKEsXTHaCYHNGok00DDl7GlMikbCxHSYTUavVsgsHpVLJEo9KpXI5Bk808wwuYjRMPMZut6OioiKgyYlLi8ZsNqOqqortX+NpxSsQCGCz2TzsHRoYhWZPlf4TR7s0xivEc7S6nCe83NxcVGs02Ns1hd0DInzPIMO9YiDFTsEgBn55dhwuKnQVy4wkmOQJAFi3bh3nxazBYmZmBlVVVVCr1S6WAxdwnrQC1WNjXMLZ2dlB6+Kx1o55ArIProdgZgyOpFJMX/QqaFkcEGCvHSbZxEEcODhyEO91vof9w/tBjjaejhXH4nuLvofNWZuxNHEp9PoOvPz5CyhelASFJPhMrvkgGgB+s848WTtMJltdXR0IIUhISIBCoYBQKIyY60yv1+O2225j+8tccMEFeOKJJwL2Atx00014/vnn8fjjj+P2228PevxjhmiYGE2oKZqTk5NsP/hg1J+5sqSYl5/RS/P2UnBp0TinuwJzK/0ZSXpfwXrd1Az+sbsau3vs6DcAAI0y8azoZhlFoxPAweY9yJ/JcnGxRQpMTxvGHRTN9GVPYJ6rjIwMLF68OKJJCIHoscXGxkKn06GwsBA5OTmhDUTbIf3vzRDoO0ErM2C5/E2IFUl+06edYzsmuwn/0/8P23Ztw+DMIHvodSnrcEHuBdiYvhFS4XcLrZTEEtx12aMh35v5aHoGBN+WQCKRIC0tDWlpaazXQKvV4pNPPsHdd9+NmJgYLF26FN988w0qKio401K76qqr0N/fj08++QTAbHfNLVu24IMPPvC773/+8x8cPHhwjvJ6MFgwRBNIjAYIrTBrcHAQDQ0NKCgo8Cio6AsCgSBsS2pgYACNjY0u9Tm+xuOCaJz97t4yijLjZ4P1gxNmtI0aWel2i92Bwz2T+E91P/7XosXRBo+IlQrxwzWLcH1uLPDu41hiM+MDmQgzsTOIiYlhXWxqtZqNKXBZEzAxMQGNRhOVST0QjI+Po7a2FgUFBaFP6mHAXY+to6MDPT09EIvFaG9vh06nY8nfPZvSF8T7dkDY/RWIWA7LJS+5uMuc30NPxaIz9hl80PsBXm99HVP22dbTSrES5+aci4vzL0ZWbPgqAJ4QbaJh3tFwFjrOXoOf/vSnuPjii3HZZZdhZmYGl156KaxWK6666io8/fTTYZ1rU1MTPvnkExw4cADr168HALzwwguoqKhAS0uLSytndwwMDODWW2/Frl27cO6554Z8DguGaPyB+UGDKZJiunEODg5ixYoVSE5ODmlcq9Ua9H7A7GTPdAMNJB4EcEM0nuT9PSE5VoqTChKwp0OHy144jMUpMTDbHejVmWBzOHXaS5DjkpXpuHx1BlQyMWBUAwCWTGsBZSo6pjtQUFCAgoICmM1mNm23s7MTUqmUJZ1w0nZHRkbQ0NCAxYsXIysrMpNVMBgcHERTUxPKyspckjnmCwMDA+jv78eqVauQkJDA6rGNjIygpaUFMTExLOmo1WrvFnXvPoj2Pw4AsJ71MIiXwL97QoHBasC/2v+FNzvexKR1toYqSZyEa0uvxeaszZCL5RElgkgoKfsCE5/hcrGTlpaGlJQUXHDBBdi6dSuqqqowMDAQ9nH3798PtVrNkgwAbNiwAWq1Gvv27fNKNDRNY8uWLbjrrrtQVlYW1jkcM0TD/Kh2uz0g1wzjx7dardiwYUPIfs9QXWeMDIrJZApq/HCJJlCSYfCnC0vwi3caUNU3iYah7xqZqSUEJ+XH46qKfKzIdMt0UiSCSNUosU6BAoUx8xir4iyTydhWvA6Hw28WWyDXw8jbLF26NKTFApcghKC7uxvd3d1hCXVyeT6dnZ3o6+tzybxz1mOz2WzQarUYHx9HTU0NCCFITExEcnKyaxaUeQKSD28FRWjYl14JR9mlfse3OCx4p/0dvNz8MqassxZMiiQFp0hPwTVrr4EyRuniZgtWCDRQOByOqMbqItldkxHVXLNmDdasWRP2MYeHhz22F0lJScHw8LDX/R566CGIRCLcdtttYZ/DgiEafxMiIwcTyKTPdKJUq9VYtWpVWCudULLOmIyfmJgYbNiwISgZ8lCJhgn6e+oh4wvJsVK8eu1KdIzPoEdrxOjQIKTWCXxv3QrvHUQpCnTiYigGDyNXmoAuixbN+mZsTN/osplQKPSZxebPxcZYpKOjo6y8zXyC6fLKnM98N6dizmdsbAxr1qzxmq0kFotd4gKMHltPTw8aGhqgUqmQlJSE/LpHITAMgY7Ph/X0P/kcmyY0dvftxjN1z2BoZggAkB2bjc3qzSiwFWDdmnWIiYmZkz4dqV478+E6i1R3zUCzzrZt24b77rvP5zaHDh0C4Hl+9RXvPnLkCP7617+ymY7hYsEQTSAIhGiGhoZYBWEuOlEGm3U2NjaGmpoaZGVloaioKOjxQyEa96B/sCY9RVHIiZNgqq8FCpkFKzas9+vTJ4lFwOBhlApi0AXPROM+BuOPDsTFRghBbW0tTCYT1q1bF1SMIRJg0qmNRuOCOB+aptn07rVr1wZ8Pp702MbHx2Fv+gSKlvdAQKG19OeQTRiQkCDxuEirGqvCEzVPoFE/20YjWZaMG8tuRK4xF1OTU1i9bjV7Pr7Sp7nstTMfyQBcEw0hJCiiufXWW3HllVf63CY3Nxe1tbUYGRmZ893Y2JjXAudvvvkGo6OjLpqLDocDd955J3bs2IHu7u6AzpHBMUc03gLzhBC0trair6+P006UgVpRjIuHqVAPNUMjWKJx7kPP7B8sGCFKmUwWcA0InbgYAFBqtWMngBZ9S1BjenOxMZXxFEVBIpFgxYoV8z6p22w2aDQaEEKwZs2aeU+nZgpDrVYr1q5dG9b5SKVSLEpSQdY2G3A2lP0fTMnL0edBj23QNogna5/E/uH9AACFSIGrS67GFQVXoK2pDcaZ2W6qvgpVg+21w/zbH+aDaCLlOguUaBgXtD9UVFRgcnIS3377LdatWwcAOHjwICYnJ1FZWelxny1btuCMM85w+Wzz5s3YsmULfvzjHwd0fs5YMEQTyArcmwyN1WpFTU0NzGYzKioqOM1DD8R1xvQ+GR8fx9q1a8OqUA/GVRdsPMYTmEyutLQ0FBUVBfzyMERTNq0FFECz3ovIYgBwdrEx2m8SiQQURbGBzEhksQUCpvZJoVBg6dKl855OzcQehUIh1qxZw0kAXPzlAxBMD4KOy4HwzPtQLFG46LENjAzgiZonsMe8BzRoCCkhLsy7ED8p+wnixHGoqamBzWbDmjVrgnYTA96tnWB67ZyIrrNAUVpairPPPhs33HADnnvuOQCz6c3nnXeeSyJASUkJtm/fjosvvphVMXAG44L1laXmDQuGaAKBJ+uCmZiUSiWneefOY/qyMJiKcEIIKioqwlZeDtSicQ+whjL5Dg0NsWnXwbYlIEeJpmS8B8hOw4hpBHqLHvHS0OVnGMkO50LDSGWxBYLp6WlUV1cH3awsUmBILyYmxqs2X7AQDByGuOZVAIB186OA5LsiZoVCgWHpMB4ZewT95n4AwCrlKpwpORNxk3HobepFk7EJYrE4qNo0r+fiZu0E02snUhO/N0TCognWdRYMXn/9ddx2220466yzAMwWbD755JMu27S0tGBycpLzsYFjkGicXWfDw8Ooq6tDXl5eWA2l/I3pzcJgivXi4+M5e/H9EZtz0J+pvg72uplMpd7eXixbtiykTC6izgQRyaC0m5GtSEfvzBBa9C3YkLYh6GMB36ULl5SUYNGiReznvlxsDocj6Cy2QMGQXk5OTtC1V5GA0WhEVVUV2yKbk/OhHZDsvhsAYF/6Q9A538XY9BY9/lrzV3zcM6vWnCxPxl0r78Ipi04BIQQ6nY7NJDSbzTh8+HBIemzeEGyvnePBorFYLHA4HBFJMklISMBrr73mcxvG/e4NwcZlnLFgiCaQB5OZ9Bkxxd7eXk7jMZ7gzZXFJB2EUgTqbzxvRBNu0B+YXYk1NjZiYmIivMwpSgCSUAhqtB4lkkT0zgyhWd8cNNEQQtDV1YWenh62b4s3hJvFFihGRkZQX18/h/TmC8yCZtGiRazKNxcQaV6GYLQeRKqG9ZTfsp9/0f8Fth/ZjknrJChQuKzwMtxUfhNixbMrbYvFgpaWFnaBZbfbQ9JjCxT+eu1YrVZYrdawe+0Eg0hYNEbjrMAtr948zxCJRLBarThy5AhmZmawYcOGiAvQuVsYkSY5b0TDRdDfXSMs3BbHdOJiCEbrUUrE+BTBx2mYhnNarTZo0gs2iy3Q+9Xb24v29vaQLT2uodPpoNFouFcfMI5B/M1DAADbyXcDiiTYaTueqX8Gr7XMrnwL1YW4e/XdKE8sZ3czmUw4cuQI4uPjsWTJEjZpI1g9tnDgTCQ2mw319fWQyWSIi4sLOrYTKiLVXZOiqHkXiI0EFhTRUBTl03xzOBzo6+tDfHw8Kioqwl4pBQLGomEm+traWhgMhoiRnCeiCaU+xh0GgwEajYZTjTA6ZQnQ9G8sMc4W6rVMBJ55ZrPZUFtbC5vNhnXr1oUd2/KXxcYUKHpzsTk3K1u9ejXUanVY58MFGMuqtLQ0LJ0pT5B89UdQlinQqUthX/4j6Mw63HPgHhwZOwIAuKroKtyy9BaIBN9NEUajEUeOHPGpCB2IHhtTKJqQkBDWc2i326HRaEBRFBsjcrd2GG+Ec70OF6QTCdcZE5+ZbzdtJLCgiMYXRkZGMDIyAqVSiVWrVkXtx2AeJqPRCI1GA6lUig0bNkQsxZUhGqaYiovMMq1Wi9raWmRlZXEay6JTlwEAlox3AXHAoHEQk9ZJqCW+J2mz2Yzq6mpIpVLOMqecEayLjRDCuhN9NSuLJvr7+9Ha2hoRy0rQfxCi+rcBANYz/4x6fRPu3n83Rk2jkAvluHftvTg963SXfZgi6MzMzKCeIXc9NqbBW3NzM6xWKxISEkLSY7PZbKiuroZQKMSKFSvY99RX+jSXxaKRsGgYVQCeaOYBzEqzu7sbaWlpcxSIIw3mYTpw4AAWLVqE4uLiiPp/mWOHWunvjr6+PrS2tkZkVUynzrpU4vTdWJSxHgMzQ2jVt2Jt6lqv+0Q7k8ufi41ZMDCr4vmu2XGXuPGqzhAqaDsku2fjMfZlV+ED6xAe3Pcg7MSOHGUO/lz5Z+Sr8l12YZTH8/LykJubG/LQ7guAUPXYbDYbmwK/bNkyrxN+JItFIyF5YzQaj0u3GbDAiMbddca4V4xGIzZs2ACtVgu9Xh/Vc+rvn03rZJQGIg3mQWeKFpnPQsksa21txdDQEFatWsX9hAUA8gTQqkwIpvpRKkvBwNGEAG9Ew6gdMxPWfKzcnF1sTB8Zhsz379/v18UWSTC/2fDwcMQkbkRVL0Iw1ghaFo/nMwrwzKH7AQCnLjoV9669lw34M9BqtaipqeFczJSiqJD02JjW1DKZDMuWLQtqoRJssaivY0fCdWYwGHiLJtowGAyorq6GXC5n4zETExNhS/YHCiZQzUg3RKsXPfOQTU9Pz+m+Fyjsdjvq6upY+ZZIrpLotGUQTPWjxCHE/wA06Zs8btff34+WlhYsWbIE6enpETufQMH0tYmLi2OD2pHKYgsENE27uO8i8psZRiDe8zBoAH8sqcQ7LS8DAH5U/CPcsvQWCCjXZ210dJSNEUX6NwtEjy0uLg6jo6NQKpVYunRpWNZwuMWikco6Ox67awILlGhGR0fZmIKzXhhXTcj8wWq1orq6mu3EuXfv3oi0V3YHY80lJyfj8OHDUCgUrKtBrVYHNNEx8Q+JRIK1a9dGPGGCTl8NtO5E+bQWwNzMM8b1yUjYR8SyChLe0oUjkcUWCJgkE7PZ7FfCJRxIvnwAlHUaj2QW4Z3JOlCgcPuK23Hl4rl6WUwx79KlSyNaPuAJ7npsZrMZw8PD6OzsZK3P5uZmJCUlISEhgZMYX7DFopFKBuBdZ1FCe3s7urq6sHTp0jl9PrxJ0HAJRmlApVKxmSzRIDhnM3758uVwOBzQarUYHR1FdXU1BAIBSzresnUmJyeh0WiQnJwctUp2OmMVAKB8pAVIlmHAOIBJyyTUUjUrzTM5OYl169YtiCD72NgY6urqUFhY6FMNIdwstkDB6KgBCFrCJRgI+vZD1PguXlcp8YrYDAC4d+29ODd3bjMrJhHBX11TNNHf34/U1FSUlJRgYmIC4+PjaPOgx8bFRO2vWPT/t3fe8VGVafv/TnpCCoF0IPQASSgpgFGBFRUECQmCL5a1L8oK7orLqugW9X1BXV1X358KdlDWshBCEZBelKKSAiENCEkgbWbS+9Tz+yPvOSYhIW3KQc738+EPJjM5ZzLJuc7z3Pd9XQaDAb1eL/3NWqp9WlnR2IjMzEw0Gg033HBDh/vT1r7gq9VqqYbQurOmN1EBPaH13ZO4THdyciIwMJDAwEDMZjPV1dVotVqpW0e8uxYvdGIw2IgRI7pM8bTouQdNQHBwwqdew5ChU7ncWEp2VTYxA2NIT0/HbDZb9S69JxQXF5OTk9PjsLKuuti8vb2lr/dki02n07WpN1jNQsVkwGXfC/zg7sY/BrasKH8f+fsORaagoID8/Pw22Tb2RJzbGTBggOSIIPpwtfZj02q1nDt3Dnd3d6mhwBIrz/ZbbCaTifPnz2MwGPD29u5xbedqKEJjI4YOHcrIkSM7vUO0ltCIlixiuFb7i1BPowJ6clzxrgg6L/o7ODgwYMAABgwYQFhYGPX19Wi1Wi5fvkxWVhaurq7odDrGjBlj+/RJZw/M/uE4qs8Q7uzLZUo5oz6DKc8k5Z/b24iytftAX8PKLDUoKjYiiDUia64+nVI/4XL1BZ4dFIwZmDdsHg+NfajNcwRBIC8vj6KiImJiYuye/QMtP6OUlBT8/f07ndvx8PAgNDSU0NBQjEaj1D7deuUpCk9fb3bE64SYR+Tu7m7R9mlFaGyEt7f3VYv9Tk5OFm8GMBqNnD17lurqaqZOndrhH5g1VjTtJ/2727atUqnw8vLCy8uLYcOGcfbsWSoqKvD29iY3N5fLly/3uK7TV8yDp+CoPkOETsce4GTBSaaPmd7pxcGWtA8Hs3QnV2+22MTtWdEx25o/I1VdKYZjb7Ii0I86BxUTBk7guejn2hxT7HZTq9VXDVCzJeJwaFBQEKNHj+62u3tAQAABAQHSyrO8vJzi4mKys7Px9PTstR+bWGssKSkhNja2zTawpdqnGxoaZDEobA1kJTRd0drrzBJ/nGIOi6OjIzfeeONVV1KWXNFYYghTr9dz5swZqWHBzc2tjedUd+s6lsAceiOkfEy4pgC8oVQoZezYsVY5Vk8wmUxkZGTQ2NjYo3Cw3tKdLTZPT0/KysoYNmyYTcw6nQ78jb/5uHHexYUBrgN4Ne5VXBx/+T0Xh1Wrqqps8jPqDvX19aSkpDBo0KBeDxi3XnmOGDECvV4vORT01I/taiLTmr5m7TQ2NsrCW88aXHNCA5bpYa+qqiItLY2AgIAuty4suWVnCZERXQr69etHVFSU9LPoqq4zcOBAAgICLD4jYhp8AwIqxlcW4OAdSqWhkormCga62a+QLE6Oq1Qqm3TftaejLbb8/HyKiopQqVSUlJSg1+utGnfgkH+ILaWH+dZvAI44sCZuDX7uvwRliSmd9fX1xMbG9tkGyBLU1dWRkpIiRUVYChcXF0JCQggJCemRH1t3RaY9vWmfFudofo1cU0IjtjEajcY+CU1RURHZ2dmEhYURGhra5cXeUkLTUdG/p1RWVnLmzJkunXy7quv4+Pi0KWD3FkEQOHdJw0j3IXg3XWKYqx8XdVqyq7K5OfjmXn/fviCuVC2Z29JXKisrKSkpYcKECfj5+Vmti03C2EzuwVW89n/F/ycnLCPKP0r6sthSrdPpZJEaCi1dk6mpqdJqz1r0xI+tqqqK0tLSHolMZ8fsqn364sWLxMbGWuQ9yg1ZCU1XF16xjtHbi77ZbCY3N5eSkhKio6O73brZ1xpNd4v+XSF2TY0ZM4bBgwd3+3Wt6zojRoygubkZrVaLVqvlwoULvZrXgZaLlXhHPDZsJpxeT7hJxUUgpzLHLkIjWtyILd72rhEBFBYWkpeX16YRwRpdbK2pP/5PVnoYMKqc+E3wNO4Pu1/6mmhGKQgCMTExNl/tdYRocyN2TdqSzvzYzp49i9FoxNfXl8rKShwcHCyytdhedKAlmOzcuXOyaMKwBrISmq5QqVS9Xl2I8wo6nY64uLge9dv3pUbT2kVWFMre2MmIQ4997ZqClgK2+IfV27qOGDkgbk2pLjfD6fVE1JTxbT8Hzlae7dM59ga5hZV1xxHaGnEH5ooL/LVgE2XuroS6DOCvU1+SfhaiT5iTk1ObbVd7UlVVRXp6OqNGjbJ912Q7HB0d8fPzo6amBpVKxaRJk2hoaKCsrKxHfmzdRaVSsWnTJv70pz+xfft27rjjDgu9E3lxTQkNXJmy2R3q6+ulCNwbbrihx5PEvV3RtK7H9MUl9uzZs9TV1Vll6LGzuk5ubi46na7Duo5o39I6csA8JA7B0YWoag30C+JsxVnMgvkKWxNrUVZWRmZmplXMQ3uDIAhS1k5PHKH7PCgqCGw4sIzj7q64oeLVGf/bJrAsNTUVd3f3HvuEWQsxbycsLKxHq3RrIbZ5FxcXS5+bv79/j/zYesK2bdtYtmwZX3/99a9WZEBmQtOTlM3uotVqpRz67rZJ9vWYYJmif3NzM+np6Tg6OjJlyhSr76N3p64jdk0NHjy4bY3IxQPz4KmEFX6Pm8qJOkMdBbUFjPCxvhGpuDU1ceJE/Pz8un6BlTGbzWRkZNDQ0MDkyZN7XWTvzaDoTz+/zQdUASqeC/89o/qPBlrqVqmpqfj4+Fh9bqe7iCarY8eOlc3NgSgyHdVkuuPHJq4+u5Mr8+2337JkyRK++OIL4uPjrfnW7I6shKY7dNeGRrRbv3DhAhEREX36RXZ0dESv13f7+ZYQGbHWMGDAALtcGDqq64gDfSqVCq1WC9CmrmMa9htcCr9nvODEzxg5XXHaqkIjpp2WlJTIJqzMaDRy+vRpTCaTRYvs3dlic/Bo4uX8rxAcVNzlMYK5ES1DmQ0NDaSmpkrRDPbeUoRfrIDCw8N75NJgLcRhTHGbs6sVaEd+bOJqp6CgACcnJ2mLrSM/tj179vDII4/wySefcNddd1nzrcmCa05ourO6MJlMZGZmUlFRwZQpU/p8AeruisZSRX/xj9CedvqtEQSB0tJS1Go1kyZNwtfX94q6jp+fHyEDYhkERFVr+bm/F2fKz7BgxAKrnFN7HzU5mBGKFvYuLi5ER0dbPNCtNe232NTlalYd+S3VDirG6M3cNuIpSkpKcHNzIyMjg5CQkKt2KdoSjUZDRkYGkZGRNnNF74qLFy9Krgi9GVh1c3Nj0KBBDBo0CLPZTFVV1RV+bGKQnUaj4YEHHmDt2rUsXrzYCu9GfshKaLq7dXa1Go3oXgxIg4x9pTs1mtbGe9D9Sf/23+PSpUvk5eUREREhiz9C0SlXnKwXu2I6qutkqvX4uAYxqbkaaBEaayCuGgwGg2x81MStKS8vLyIjI226AnV0dOSrc/8iR9WAt8nEyxF/wuwVSH5+Po2Njbi5ueHk5CSLBMeysjKysrKskhzaW1pb71jCFcHBwaGNH1tDQwMVFRW8/PLLPPHEE5jNZm677TZCQkIwGAyyaC23NrISmu5wta0zsQ9/4MCBUpHaEnTVddbeTqY3F5nWF3Q5bQOJsxZTpkzpsLWzfV2HxnlMPPMJKgGKGoo4cPIAI4NG9nleR0Sn00kxCNaIge4NYrOJvVqq9xbs5D9lRwH4n34RDJ90L5WVlRQWFkregbaIO+iKkpIScnJypFkiOWBpkemIfv360a9fP1atWsXJkye59957MZvNPPjgg9TX17N3715uuOEGqxxbLtj/r7Qd7VM229PZNlZJSQmZmZmMGjXK4ttNV1vRWKIeIyaJ6vX6Ti/otkZsRHB2du62fb1KpcIhPJ5+6R8z0mjigrMj1e7VVFZW9mleR0SsNfj6+sqmoC1m2wwZMoQRI0bYXGTya/NZc2o1AL9rMDI1/h1p67V1kd3acQddUVxcTG5uLhMnTpRN9IAtREbk559/ZuHChaxevZo//OEP0nVO7Lj7tSM7oemK9ltnoiHg5cuXmTRpklWW452taCwhMo2NjaSnp+Pu7s7kyZNlc4cuNiKMGzeuRxd0c0gMZs8gopoaueDsRRFFLIxe2GZeR5y/8fPzIyAgoFs+bNXV1aSnp3fpiGBLxJjjrrJtrEWTsYlV36+gSTAxtamZJTe+Sll1M5mZmR3WP6wVd9AVly9f5vz580RFRcki+A5aROby5cs2MRFNS0sjMTGRF198URIZaLkxi4qK6uLVvw7sf1XrIa2FRtyrb2ho4IYbbrDaL0z7VZRY9O+rnYx48RRdfOVwh15RUcGZM2ckr6kevy8HR0xj5hGV+yWb8OJ0+Wmge/M64kWu/Z11d8PKbIk4t2OvaGpBEHg95VXyG0vxM5pY7TOZ4n4Tyc3K6labtzUGRTtCrDnKJd8GWgr/thKZjIwM5s+fz8qVK1m5cqUsbpDsgeyEpqutMycnJ3Q6nbSN4ubmRlxcnFVtNFpvnbUv+vdWZMSo3LCwMLtPQ4uUlJSQnZ3d56FH09gEJqd/BkBWZRblTeVtzBzb13UaGhrQaDSSB11rH7aqqipyc3Nl1aEk3qHbc25nW/42dl/ag4Mg8I8aHTXRyzn/f6mYvXGOsEaiaOsQNTnUHKFFZC5dumQTkcnKyiI+Pp7ly5fzwgsvXLciAzIUmq5wdHSksbGRkydPMmjQIJusBMStM0sU/cV+/UuXLslmwLD1OVnC4sYcEkNAv2AmNOs44+bK0ZKj3DWy41kBlUqFp6cnnp6e0rxOeXk5Go2GCxcuIAgCQUFBuLq6Wiweore0/jnZ8w49uyqbf6a+CcBTVTUEjfsTGaXVFrugd7bFJg7udmeLTfw5ySVEDWwrMufOnSM+Pp5HH32Ul1566boWGbjGhEYQBKqrq6muriYyMtJmlhXi1llf6zHifE9NTQ2TJ0+WRcCU2Wxuk0dikXNSqTCF38X0nPWccXPlZ83PnQpNe9zc3AgJCaG2thZnZ2eGDRtGXV1dm7qOaPlhS58uQRDIzc1Fo9HY9bOr0dew6vgq9IKBGY1NLHSP5KQQZrWLZ0+32FQqlTRdHxMTY/Ggud7SWvis/dldvHiRefPmce+997JmzZrrXmRAhkLT2YciXhDLy8vx9PS0qS+SuHVWVFREQEBAr+Y2RBNKgKlTp8qid17sdjMYDEyZMsWi8yjGyMVMTVvHu75wSv0zRrMRJ4euf91E+/qmpiamTp0qzUG1ruucO3euy7qOJRGHQ2tra+0aDmYWzLz040uUNpYyyGDk5Wo96ZEPE9sDL7W+0tUWmxgrHhUVJRuRyc/Pl0TG2udUWFjInXfeSWJiIm+++aYs6q5yQCVcrSBiB4xG4xWtxDqdjvT0dEwmE6GhoRQWFnLTTTfZ5HxE5+XLly+jVqupra3Fx8dHioztzkVH7OLy8fGx6HxPXxAzW9zd3Rk/frxVut0cv5zPLIcSKh0deXva28QFxV31+a0doSdNmtRp3U0QBBoaGtBqtWg0Gurq6iyWr9Mek8nE6dOn0ev1REdH2/UG4dOsT/kg8wNczAIbS8vQjVhB6KzfyyKwTBRjrVaLm5sbjY2NVuti6wn5+fkUFhbaRGSKi4uZNWsWt99+O+vWrVNEphWyW9G0p7a2ltTUVPr378/48eOprq62WNrl1Whf9A8NDWXo0KHodDo0Gg1arZbz58/Tr18/SXQ6MtIrLy8nIyOj911cVqC2tlZKFx0zZoz1/iAi72XWz//N195e7L2056pCI07We3p6dhlW1rquM3z48DbbOXl5ebi5uREQENDreR0RMaXTwcHB7sOhP6p/5MPMDwH4S0UlPr7TcZ/9pCxcEcRtxerqauLi4nB3d79ii00ME7PloKgtRaasrIy5c+cyY8YM1q5dq4hMO2S3ojGZTFL7cllZGRkZGYwYMUK6SNfU1JCSksLMmTOtdg7dLfobDAapcF1RUSH9MQUEBNC/f3+Kioo4d+6c3VpgO0JsFRYDpqwqfPpGsj+J5WE/L/o5uLIrcS9ujlfefdfV1ZGamkpgYCBjxozp0zm1ntcpLy/vdV2nubmZ1NRUPDw8GD9+vF1XoWWNZTy470Fq9DXcVVfP8/Uu6B87iHM/+8+kCIIg1fhiYmI6XOG33mIrLy+3yaCoLUVGo9EwZ84coqOj2bBhgyxm4eSGLH8iYmBUQUEBEyZMaNPWaqlY5asdu7vzMc7OzgQHBxMcHCz9MWk0Gsm9VxAERo0aJbu2XJs55rp4EDl6IUHaXZQ5wfHS48wc3PYGQZzbGTZsmEUcHTqb1+lJXUdsne/NwKql0Zv0vHDiBWr0NYzT6Xm+ohrz4iRZiIxYN62pqSE2NrbTLTxLdLH1BFuKTHl5OfHx8URGRrJ+/XpFZDpBdisa0cuqtraW6OjoK35RmpqaOHLkCLNnz7b43bglJv1Ff7CGhgZ8fX2pqqrCYDBIU/B+fn42/2VsnfQ4ceJEm05nqyovsjbpTj7r702MbwTv3/ap9DVxlsgWYWXdreuIW7VycSB4I/UNNudtxstk5puSUgKmPoPppmfsek7QIjJijHdMTEyvt/Bab7FVVlb2eYutoKCAgoICm4hMVVUV8+bNIzQ0lE2bNsmiwUeuyE5oCgoKJDuZjj44vV7PwYMHue222yx6wRZXMX0RmaamJtLT03FxcWHChAk4OztLd3BiXaehoYEBAwZINQRr77GLLdW1tbVERUXZrDupNZWb7iZeKMSoUvHhLR8y0W8iBQUFXLx40W4GizqdDq1WK13g3Nzc8PLyory8nOHDhzN8+HCbn1N79lzaw99+/BsA75ZpuClgCvq7vwQH+zaTiMFujY2NxMTEWOwC29ctNlFkoqOjrT67U1NTQ3x8PAEBASQnJ8uiViZnZCc0JpMJvV7f6Z2M2Wxm79693HLLLRb5cNtnyPTG3h9afvHS09MlB9/Ozr/1XbXYwSbWdSydqaLX66XI2c6E2xY4FP7AaweeIMnLk6l+0SwLeZqysjImTZoki4lxo9EozVk4ODjg4OAg3VXbel5H5GLNRR458AjNpmaWVNewXO9G88P7oZ99B3zF9nOdTkdMTIzVHDlab7GVl5dTV1d31S02W4pMXV0dCQkJeHl5sWPHDll0/ckd2QmN2WzGYDB0+nVBENi7dy/Tpk3r84XZEpP+AGq1mszMTEaOHEloaGi3hUq8q9ZoNFRWVnbZwdYTGhsbSUtL61YXl9URBLQbZ5HoWoNRpWLpgKUsjlssi7Ay+MVZODIyEj8/P2pqaqQVqC3ndUTqDfU8vO9hLjdcZmpTM+vU5RgXb8IceqPVj301xFZvo9FIVFSUVW2f2nO1LbaamhqpJmNtkWloaOCuu+7C0dGRnTt32mWH4FrkmhMagP379zN16tQ+7cGKRX+TydTrrTIxLjo/P5/x48f3yTla7GAT7+CcnZ0l0enfv3+Pzk806wwODiYsLMzudQYAITOZd068yFc+XozzCeOz2z+XxXmJn9/EiROvsN5pXdfRarXU1tbi7e0tbXta4yJjNBv5w+E/kFKRQqDRxH+KS/G8cSXGG1dY/Fg9wWQykZaWhiAIREVF2bXo3XqLTa1WYzQa8fX1JSQkxKpxB01NTSxatAiDwcDu3btlM5B6LSC7FglLpGx2hSWK/mLHTWVlJZMnT+7zL93VOtgAaXutK0t9cXUlJ6fj5uZm0mr8eUDvyVazmeyacxwsPsitg2+12zkJgsD58+cpLS3t9E64/bxO67qOOK8jfi59mddpfU6vnHiFlIoU3MwC76i1eI+4HX3cH/v0ffuK0WgkLS0NlUpFdHS03QeOxS62xsZGBEEgMjKSxsZGq3WxQcvv8L333ktTUxN79uxRRKaHyG5FIwgCer3+qs/5/vvvGTduXK+KyJYo+ou1D5PJRFRUlFULgWazWdrK0Wg0UgebWCAVty9ax0BHRkYSEBBgtXPqCa2zbcarzvPpD8+z1teHIf0G8fUd/+mWLY2lMZvNZGdnU1lZSUxMTK+28NrP6wB9ruu8d+o9Ps//HAcB3lFrmd4vlOb7vwVX+3niiUOrTk5OTJw40e4iI1JYWMjFixevuEmwdBcbtGxx//a3v0WtVrNv3z7ZZOpcS1yTQnP8+HFGjhzZo/kUSxX9GxoaSEtLk7LhbW3s2FEHm7+/P7W1tZSXl8umwA6/bOENHjyYkSNHokLAtP425rnXUunoyLPRz7Jw5EKbnpPJZCIjI4OmpiaioqIsUshtfTPQ27rOfzL+wz9z/gnAC+WV3GNwovmB3Qi+w/p8fr3FYDCQkpKCq6srEyZMkL3ItMcSg6IGg4EHH3yQgoICDh48aPV00KNHj/LGG2+QkpJCaWkpycnJJCYmXvU1R44c4ZlnniEzM5OQkBCeffZZli5datXz7CnXxdZZ+6J/b0WmsrKS06dPM3jwYLvMWLR20h01ahSNjY2o1WouXLiA0WjEy8uLqqoqnJ2d7V5o12g0nD17ltGjR7fK21HhMu15nti3jFf9BrAu431uHXwr/V372+ScDAYD6enpCILQ7Xjq7uDg4ICvry++vr5Svo5Wq6W4uJjs7Owu6zq7s3bzds7bADxUU8s99Y3o7v7SriKj1+tJSUmRnBHkYqkiikx3usv6OihqNBr53e9+x4ULFzh06JBNIqgbGhqYOHEijzzyCAsXdn0Tlp+fz9y5c1myZAkbN27k2LFjPPnkk/j7+3fr9bZCdisaaPklv9pppaSk4O/v360ahCXqMdDSmZSTk8PYsWMZNGhQr76HpRHNRh0cHBg3bhzV1dVtOtjE+oGXl5dNRVG03ulwC08QcPzmbu4z5nHO1YWE4Qm8EPuC1c9JHAS29d15R/M64sWtf//+7M/ez8uZL2PAwKz6Bt7QVmCc+TLG2Mdtcn6dnXNKSorUsShHkenrql3cYisvL29jH+Xs7ExISAguLi4sXbqUlJQUDh8+bBsnjXaoVKouVzTPPfcc27dvJzs7W3ps6dKlnD59mhMnTtjgLLuH7FY03aG7NjSWEBmxaFxcXGyRUDBLIdY++vfvT0REBA4ODlJ8QusOtlOnTvWpg60nCIIgZbF3mg+vUmGe+Qovfn0nDwUHsC1/G/HD4xk/cLxVzglauoVSUlLo378/4eHhNr1wurq6Srb6RqOxTZPHZf1lPqr5CAMGbmpq5lVtBabYx+0qMs3NzaSkpODj42Pzn9XVuHTpksVEBjqPO3j11VfZunUrvr6+GI1G9u3bZxeR6S4nTpxg1qxZbR6bPXs2n3zyCQaDwaYt6FdDHr9FPaQ7W2di63Jfg8pOnz6NVqtlypQpshGZyspKfv75Z4KDgzu84xQ72CZMmMCMGTMYO3YsRqOR06dPc+TIEcnO3ZKecWIXXmlpKZMnT75qwVQICGf8mEUk1NUD8I+U1zGae99FeDXq6ur46aef8Pf3lwTZXjg5OREQEEBERATmAWY+rf0UHTqim/X8S62lJnA6BWG/Q6fT2eX8mpqaOHXqVJubFzkgNrlYKxJa3GILDw9n3bp13HrrrdTX1xMUFER0dDQ33ngjGzdutPhxLUFZWdkVterAwECMRqPUpCIHfnUrmvZF/96KTHNzM+np6Tg5OTFlyhTZ3BmI/mBjxozpVvhb+31qcXstJyen0w62niJOizc3NzN58uRuFdgN019gxaffccjDxLma83yc9TFLIy1bwKyuriYtLY2hQ4cyfPhwWcztCILAgdMHeDXvVRqFRiINZt4rU+MYPAXtDa+gKSklOydXqh8EBATYZCiwsbGRlJQU/Pz8GDt2rCx+VmB9kWmN2Wxm1apVnD59mtTUVEaOHElJSQm7du2StcVM+8+qdS1aLshSaFQq1VVrNE5OTh0OdbbPkOlt0b+2tpb09HQGDhxod/deEXE4tKCggIkTJ/aqtVulUrUpWtfX16PRaCgoKCAzM7NXHmx6vZ60tDQcHR17VmB398Xzllf466GV/DnAj/XZ64nyj2Jq4NQev6+OEOMQ2jYj2Bez2czOlJ28VfgWjUIjYUaBdSUlePiNpXnRBoa5+TCMtnWdixcvXlHXsfQFpKGhgZSUFAIDA2Uz4Au2F5m//vWvbN26lUOHDjFy5EgAQkJC+N3vfmfVY/eFoKAgysrK2jym0WhwcnKySfNCd5Gl0HSFo6Mjzc3NbR5rXY9RqVS9FgexW2r48OEWsa23BGazmZycHMrLy4mNjbXIsJhKpcLLywsvLy9GjhxJY2MjGo2G0tJScnJypE6pq3mwiWFlXl5evUoONY1L5PaszdxVm84WL0+eP/48H9zyAWH9w/r03sRVX2RkpGwiGsxmM5t/3My7xe+iE3SMNwqsLS7Cy2c4ukVfgtsvF9LWdR2TyURFRcUVw7uW8mGrr68nJSWFkJAQWbhVi9hSZARB4H/+53/46quvOHjwIGFhffv9syVxcXHs2LGjzWN79+61aFelJZBl15nBYJBWJR1RUFBAVVUVUVFRgOWK/mJXS0REhGwuUGLsgJjDbgsDv4482Np3sIkpnX0NK1PVlaFaP5Pf+zhzyt0NPzc/Ppr5ESH9ehcbcOnSJS5cuMDEiRNlc0dnMpn49/F/86H6QwyCgckGgf9XXIR7/+Ho7klC8OpesVnc+hQ/G51OJ61C/fz8ery9U1dXR0pKyi9zTjIRmcuXL3PhwgWioqLo37+/VY8lCAKvv/46a9eu5eDBg4wfb72mlO5QX1/PhQsXAIiKiuKtt97illtuYcCAAYSGhrJq1SqKi4v5/PPPgZb25sjISJ544gmWLFnCiRMnWLp0KV999ZXS3twVRqPxqoXqoqIiqehsKTuZnJwctFqtrAYem5ubSUtLw8XFhYkTJ9rFX0osKmo0GsmDzcvLi4qKCkaMGGGRVZ/juV3otv+Oh4MDOe/iwmDPwbw/430CPXo2kJuXl0dRURFRUVGy+QwNBgOfHvuU9dr1mDEzXQ9vlVzCuf8IdPdsRvDqXfJqZz5srZ3Ar/a5iLk7YsS4XLC1yLz99tv885//5MCBA9KNqz05fPgwt9xyyxWPP/TQQ6xfv56HH36YgoICDh8+LH3tyJEjrFixQhrYfO6552Q3sHlNCk1paSmFhYVMmTKlz3YyBoOBM2fOoNfrbbZi6A51dXWkpaXJqk5kNpu5cOEChYWFODo6Snb63fFg6wrnPX+m8uxXPBgSTImTA4P6DeL937xPkEfXd/uCIJCdnU15eTnR0dF4etrPsqU1Tbom3jryFjtqdiAgcEezmTWlRTj2H47u3qRei0xHdDWv0/pvo6amhtTUVGl7WC7YWmTee+89Xn31Vfbs2cOUKVOserzrnWtSaNRqNefPn2fq1JbCcW+L/o2NjaSnp+Pu7s748eNlE8MqxhvLrVtK3FoUnY7FDjatVoter2fgwIHSNk6P94eNOly/WoBae4bHBg2myEEg2COY93/z/lW30cQQroaGBqKjo2Vzo3Ch4gIv/vAiBfoCAO5q0PE3jRrVwNHo/utrBC/rJYqKdR1ReOCXuo6joyNnzpyRIi3kgq1F5qOPPuLvf/87u3fv5sYb7Ru/cD0gS6ExmUydzskIgkBNTQ0//vgjPj4+BAYGEhAQ0OMLTFVVFadPn5aVlT784kAQHh5OcLDl7nj7giAInDt3jrKyMqKioq6w/hAEQepg02g0bTzYAgICul07UNUW4/b5bNS6ah4NHcZlDAR5BPHejPcY7HllK7c4GyTmo8ghStcsmPl31r/5IOsDDBjo5+DCSq2GhbW1mAffgO6uz8Ctv83Op3Vdp6ysDJ1Oh6enJ0OGDLFJwmt3sLXIbNiwgeeff54dO3YwY8YMqx5PoYVrSmha12P0er1UFK2uru5Wl5RISUkJ2dnZhIWFyab1tfVUfUfZKPZCjIKuq6sjKiqqWx5qjY2N0mdTU1PTowwXh+JTuH5zNxrBwGNDR1EoNDHQbSDvTHuH0f1HS88T26pFV2F7r0YFQeCH0h9Ye2YteXV5AExxDeS/L6QSYjRhHJuAfu474GSfC3tFRQXp6enSCrl9XceSlvo9oaioiPPnz9tMZP7973/zzDPPsH37dmbOnGnV4yn8wjUjNK2NMdtvlen1euluurKyEk9PzzZJla2/h3gxnzBhgmy6ksxmM5mZmVRXVxMVFSWbGoPBYGgTh9CbFUPr2kFFRQUeHh7SZ9OZB5vj+e9w2foYFQ7w+PCxnDfV4+XsxVs3v8UEvwk0NTWRlpZGv3797G74aDQbOVx8mC/PfUlmZSYA7g5urGAA9+SdRAUYJv8ew2/+Air7nGd5eTlnzpxh3LhxbVbJPanrWANbi8ymTZtYvnw5mzdv5o477rDq8RTaIkuhaZ2yKU76d7fobzAYpLvpiooK3N3dpbpBYWEhdXV1TJo0SXYXc3H7Rw5bGfBLx5ubm5vFTCg76mATt9f69+/fRjAcz3yF63fPUOOgYtmISE6banB1dOUP4X/AX91yMRw3bpzdtjwrmivYenEryXnJaJtb6iDOODPPN46nC08woCIPwcEZw63/jTHqIbucI/wyuBoeHn5Vz66r1XUsMa/THtF4NTo62uoiA5CcnMzjjz/O119/TXx8vNWPp9AWWQtNXyf9xQtbWVkZWq0WBwcHQkJCCAkJwdvb2+51GfHO3N3dXVZ5H63DyqzV8WY2myWDSa1WiyAIV1zYHM98hct3f6JJBStGRHDcXAvABK8J/Pe0/yaon23NDgVB4GzlWTZf2Mz+y/sxCi2r7v7O/Yl2jGKpmydjz3yMyqTD7BmEPuEjzINibXqOrVGr1Zw9e5bx48f3KAivdV1Hq9XS3Nws1dwsUdcRRaZT41UL8+233/LII4/wxRdfcNddd1n9eApXIluh0ev1bTJkenuxq6urIz09HR8fHwICAiRXY0dHRwICAggMDLTJNkF7ampqSE9P7/PAo6WpqqoiPT2dIUOG2GyIr/0gYusOtmDNEdz3/RmT2cha/xF85gUGwYi7ozu/HfNb7htzHx5O1s3e0Zl07L+8n00XNpFd9Ysde+SASGYHzCb4soFpFZvxKD0JgGnETHRz3oF+PbcJshSlpaVkZ2czfvx4/P39e/19rjav05u6jq1F5rvvvuOBBx7g008/ZfHixVY/nkLHyFJoysvLpbumvmTIlJeXk5GRIQ2lid+n9d20RqNBpVLh7+9PYGBgr+Nee4K4nTFixAiGDh0qG5ER7XfCwsK6ZdhpDTrqYBusz2N81us4m5vI8wnm70PDOF2XD8BAt4EsiVhC/LB4i8dClzWWsSVvC9subqNaXw2Ai4MLtw+5nbtH3U3/pn40Hfl/hJcl4WBsQnB0xfCbv2KMfhTs+JmWlJSQk5NjFXeEvtR1bC0yBw8e5J577mHt2rX89re/lc3f2fWILIXmvvvu49ChQ8THx7NgwQJuuummHncViVYkXe1Nm81maR5ErVZjNpulYnVfhxA74vLly5w/f15WNjfwy3l1GFZmR/Ly8sjPz8efCiIzX8dLV4oZB3aMT2CtUEpxQwkAw7yG8dDYh5g5eCZuTr2fpTGajfyk/olt+ds4WnwUMy3btoHugSwctZD5w+fj6+pL5c9J+Jx4Fa/mYgBMg6eiv+OfCANG9v1N9wHxYj5p0iSrdy52VNfx8/MjICDgirpOcXExubm5NhOZo0ePcvfdd/POO+/wyCOPKCJjZ2QpNHq9noMHD5KUlMS2bdsAuPPOO1mwYAHTp0+/aveT2WyWZj4mTZrUo0KjOKOjVqvRaDSSjX5gYCB+fn59Eh0xQK2kpKTH52VNWlu3yO288vPzKSwslLqS9PVVOOxaiXfBLgCq3UPYMOY2/tOYSq2hpX7j4eTBzMEzmTFoBlF+UXi5dG1AKggCudW57C7czd5Le6nUVUpfiw2I5e5Rd3Nz8M04OTjhUPQTpv2v0E+T0vJad1/001Zhmni/3brKRMR5lEmTJtnkYt6aq9V1TCYTeXl5NhOZEydOsGDBAl5//XWWLl2qiIwMkKXQtMZoNHL06FE2b97M1q1baW5u5s477yQxMZFbbrmlzaCmwWAgIyOD5uZmoqKicHd37/VxxYxxcaXT3Nws3a31dPLdZDJx9uxZaRbFFvki3cFsNpOdnU1lZaWs2qoFQSA3Nxe1Wk10dHRbt2pBwDH3W5wP/AWHBg0A+T4RfBo4jh+4SLnhl7AnBxwI9QpliNcQhngOYaBbyzaSq6MrzcZmKnWVXKy5SF5NntQ5BtDfpT+zQmexYOQCRniPALMJxwt7cDr1EY5FLXUYwcEZY9SDGG5aadMBzM4QXRts0SrcHRoaGtBoNBQXF9PU1ES/fv0IDg62+rzOzz//TEJCAq+88gpPPfWUIjIyQfZC0xqTycSxY8dISkoiOTmZmpoa5syZQ2JiIqGhoTz66KO88MILJCQkWNQiWyyIiiudhoYGqVjt7+9/1RWWXq8nPT0dgEmTJslieh3s4wrdHcSZopqaGmJiYjq/WWiuwfmHf+CU/gUqc0srfK1vOLt9J3LARc9F4RJqvbrbx3VxcGFayDTmDp3LDUE34KRyRFVxDqfMzThmbcGhrmWLzqxyRDduEUxfieBtnzpWe8SVX3R09BWuDfZE3C6LiIjAaDRKc26urq7S344lG3HS0tKYN28eL774In/6058UkZER15TQtMZsNvPjjz+SlJTEV199RUlJCYMHD+bll19m3rx5Vr07F+/WNBoNdXV1+Pr6SnWd1q2fDQ0NpKWl4eXlRWRkpGzal1uHlU2cOFE2uRWtkzqjo6O71Uarqr6E8/F/4pi1BdX/xUGbndypDZjCWbfhnHX2pMrHg1rnegyOBhwcHGgyNuHh5EF/1/4M8RzCKJ9RjPIZSb/GShxK03G4fALH/IM4VBdKxzE6e3Ep4Fb6374StwD71mFEBEHg4sWLXL58mZiYGIvkFFkKsSGhfa2oJ3WdnpCRkcHcuXP505/+xKpVq2wiMu+//z5vvPEGpaWlRERE8PbbbzNt2rQOn9uZK3N2djZjx4619qnanWtWaES++eYbHnvsMZYuXYqTkxPJyclcvnyZ2267jYSEBObOnWvVmZmmpiZJdGpqaqQ2ajc3N7KzswkJCWH06NGyubtqbGwkNTUVb29vIiMjZeEKDS3bnmlpaahUKiZNmtRz8atX43T63zhlfIVDbVGbL5kc3Wl0C6TeaQAqjwG4evbH3d0dJ7MedLU41FxGVXMZla6mzesERxdMw37DRa8pFHlEMCn2Btms/MTaWnFxMTExMbLZ9oTORaY9lprXycrKYs6cOTz55JO89NJLNvlb++abb3jggQd4//33uemmm/jggw/4+OOPycrK6tCsVBSa3NzcNqtO0ej01841LTTFxcVERUXx2WefceeddwL/N1R39iybNm0iOTmZc+fOMXPmTBISEpg3bx6+vr5W+0XU6XRoNBqKioqor6/Hzc2NwYMHExgY2C2PMGsjhpUFBQXJykhUdCEQXbT79IcnCKjUGTid341D0Y84lKWjMjR176UOzpj9x2EOicY8/Bb0g27gTE4eOp2O6Oho2Wx7io0lZWVlxMTEyKbmB90XmY4Q53U0Gk2353Vyc3OZM2cOjzzyCGvWrLHZ7/TUqVOJjo5m7dq10mPjxo0jMTGRV1999Yrni0JTVVUlixqarbmmhQZaptg7u5sTBIGcnBw2b95McnIyZ8+eZfr06SQmJjJv3jz8/f0t+ovZ2kp/3LhxmM1myQqnX79+0oCoPcwLRb8rMaxMLjQ2NpKSkmI9FwKzEVXVRVTVl3GovQz6elT6RkwmI/V6gZpmExUGd0zeQ/AMHY9f0GC8vb0xmUykp6djNpuJioqSzfai2Cih1WqJiYmRxQ2MSF9Epj06nU4arq6oqMDV1bVNyquTkxN5eXnccccdLF68mDfffNNmq3O9Xo+HhwebNm1iwYIF0uN//OMfSU9P58iRI1e8RhSaYcOG0dzcTHh4OH/5y1863E77NXLNC013EbcakpKS2LJlC6mpqdx4440kJCQwf/58goOD+3TxN5vN5ObmotForkjpNBgMbTy+3NzcJNHpzFjSkohu1XKKHoBfVljBwcF23V40Go1UVFRIn4+joyOCIODq6kpMTIysREbsErxqo4QdsKTItKd1XSc3N5fly5cTHR3NmTNnWLhwIWvXrrXpFnBJSQmDBg3i2LFjbbJs1qxZw4YNG8jNzb3iNbm5uRw9epSYmBh0Oh1ffPEF69at4/Dhw0yfPt1m524vrhuhaY0gCFy6dEkSnZMnTzJ16lTmz59PQkICQ4YM6dFFTyxiNzU1ddlWbTKZKC8vR61WS8aSouj4+PhYfIVVUFBAQUGBrNyqASorKzl9+rTsUh6bmpo4deoU0HLzIAiCRYrVfUUQBLKysqiuriYmJkY2tSKwrsi0x2g08p///IcVK1bg6OhIc3OzVI+99957bVKrEoXm+PHjxMXFSY+vXr2aL774gpycnG59n/j4eFQqFdu3b7fWqcqG61JoWiMIAiUlJWzZsoWkpCSOHTtGVFQUCQkJJCQkdJlwqdPp2uSi9HS+prUVjui/1pGbcW/eV6ezKHZGtLoZM2YMgwYNsvfpSDQ1NUmNEhEREahUKmpqaqTPR6fT4efnJ9UNbLXSEVu+6+rqiImJkY3DN/ziqWYNu5vOjnfHHXdw88038/HHH3PhwgW2bdvGzp072b59e5udBGvRm62zjli9ejUbN24kOzu76ydf41z3QtMaQRBQq9Vs3bqVpKQkjhw5QkREhCQ67QvoomGnr68v4eHhfRIGs9lMVVUVarVacjNubYXTk+8tDojW19cTHR0tqy0WcbZCblY3DQ0NpKam4ufnx9ixY6+4uRBnqUTRqa+vl9ra/f39rbbCMJvNnD17Voqqvp5FRq1WM2fOHGJiYvj888/t2q01depUYmJieP/996XHwsPDSUhI6LAZoCMWLVpEZWUlBw8etNZpygZFaDpBEAQqKyvZunUrW7ZsYf/+/YwePZqEhAQWLFhAXl4ea9as4dNPP+3wwtTXY1dXV0sDoiaTSSqEdrV9YzAYSE9PRxAEWQ2IAhQUFJCfny+rBFFouWFITU3tUa2oqampTcKrl5eXdGNgqS4ws9ncZq5ITp+lrUWmvLycuXPnEh4ezpdffmn3RFWxvXndunXExcXx4Ycf8tFHH5GZmcnQoUNZtWoVxcXFfP755wC8/fbbDBs2jIiICPR6PRs3buS1114jKSnpuogusO+nJWNUKhUDBw7kscce49FHH6Wmpobt27ezZcsW3njjDYxGIzNmzECn00mpn5Y8tq+vL76+vowZM4ba2lrUajXnzp1Dr9e3scJp/QfX3NxMamqq7PJtBEHgwoUL0syHnKbXa2pqSEtLIzQ0tMtt0ta4u7sTGhpKaGhom1jxixcv4u7uLt0Y9HaGS6z76fV6WTUkgO1FprKykvj4eEaNGsXGjRvtLjIAixcvpqKigldeeYXS0lIiIyPZtWsXQ4cOBVp+RpcuXZKer9frWblyJcXFxbi7uxMREcHOnTuZO3euvd6CTVFWND1AEARWr17NG2+8wbJlyzh//jy7d+8mICCA+fPns2DBAmJiYqzWASNa6IsrnaamJskKx8PDgzNnzkhbP3IZxGztpxYdHS2rmY/KykrS09MZNWpUh0N2vaGjDjZxe627ERRia7UYoX09i0xNTQ3x8fEEBgayZcsWWW0dKnQfRWh6QFJSEk8//TS7du1i/PjxQMve/nfffUdSUhI7d+7Ex8eH+fPnk5iYyNSpU626qhBzW0pKSmhqasLd3Z1hw4YREBAgi20Wk8lERkYGjY2NREdHy6pTSswEsmZDgph7JK52zGZzl1ugRqNR2vqMioqSxd27iK1Fpq6ujoSEBLy9vdm+fbusfn8UeoYiND3AbDZTUVHRaWJhU1MT+/btIykpiR07duDm5iZl6tx4441WuWiIcb3Dhw/HwcFBmqru37+/VDOwxx+oeMGU28Aj/PIzi4iIuGpWkSURIyhad7C1NmZ1dnbGaDSSlpaGg4MDkyZNks3WJ9heZBoaGrjrrrtwcnLi22+/ldVKWKHnKEJjJcRMnc2bN7Nt2zZUKhXz5s0jMTGxy0yd7iKGu7WP621ubpbiDWpqavD29pZmdWzRgabX60lNTcXFxYWJEyfK6oIpdr31NeK4L3TUwebj40NzczNubm5ER0fL6mdWVlZGVlYWEyZMwM/P+vHUjY2N3H333RiNRnbt2iWr1nyF3qEIjQ0wGo0cOXJEytTR6XTMmzePhIQEZs6c2eN959bF9a7CysToXbVaTVVVFZ6engQGBlq0O6o1TU1NpKSk4OPjQ0REhGxqRdAizHl5ebLrequtrZVWf0ajUepg8/f3t7tZpq1Fprm5mcWLF1NXV8eePXtsMhejYH0UobExYqaO6L9WV1fHnDlzSEhI4LbbbuvSu8psNpOVlUVVVVWPi+sGg0ESnYqKCjw8PCTR8fT07HPnXH19PampqQQEBDBmzBjZmHa2TuuMjo6W1cVLr9eTkpKCh4cH48ePx2g0SjWdyspKya6oLx1svcXWIqPT6bj//vvRaDTs27fP5imhCtZDERo7ImbqiKKj1WqZNWsWiYmJzJ49+4q72dZhZX0d3jMajW2scFxdXSXR6c0Frbq6WmoTHjFihKxE5vz585SWlsrOIUGn05GSkoKXl1eHq7+OOtjEZoLudrD1FluLjMFg4MEHH6SwsJADBw7Iyi5Joe8oQiMTzGYzqampbN68mS1btlBUVMRtt91GYmIic+bMoba2lj//+c889dRTTJ061aKNBaJpoSg6Tk5ObaxwuhIN0Rl69OjRDBkyxGLn1VdE9+7y8nLZtVY3Nze32WLs6mcsOkeIdR2xg83f3x8/Pz+L1nTEZomJEyfaRGSMRiOPPvooOTk5HDx4UFaOEQqWQREaGWI2m8nIyJBWOufPn8fBwYFRo0aRnJzcZ6fpro4t3kVrtVpUKpUkOh3dRZeWlpKVlWXTDq7uIPqD1dbWys6GR6xjidEIPf0sxQ42cYutublZ6mDz8/PrU6OJWq0mMzPTZs0SJpOJJ554grS0NA4dOiSr3yEFy6EIjcz56aefmDNnDmFhYTQ1NZGVlcWMGTNISEggPj4ePz8/q4pO67toQRDazIEUFRVx4cIFm7W8dhfRuqWpqUl2/mBi/o6/v79F6lgddbD1trXdHiLz1FNPcezYMQ4fPiwrg1UFy6IIjYzJyMjgxhtv5JVXXmHFihVSt5kYb5CWlsZNN90kZeoEBQVZTXRE/7XWcyAAI0eOJDQ0VDbtuHKeqm9oaCAlJYXAwECrJZy292Dz9PRs48HW2TFtLTJms5kVK1Zw4MABDh06JFm3KPw6UYRGxogdah0FI4lpnqLo/Pjjj0ydOlVymh48eLBVLmRi+JZGo8Hf35+qqirJPl9sybXXNLvBYGgz8Cinqfr6+npSUlIICQlh1KhRNmmW0Ov1UuBeRUWF1MHm7+/fJvtIrMlMmDDBZiLz3HPPsWPHDg4fPsyIESOsfkwF+6IIza8AQRAoLi6WMnWOHz9OVFQUiYmJJCQkMGzYMItc2ETL+rq6OqnuIfqviQOijY2NDBw4kMDAQJtmtohDoq6urrIyFIUWK5WUlBSGDBlit448MXBPq9Wi1WqlDjZnZ2cKCgqYOHGizUTmL3/5C5s2beLQoUOEhYVZ/ZgK9kcRml8ZYqZOcnKylKkTGRkpiU5vI5PF1mq9Xn9Vy3qxXqBWq6XMFlF0rFUrEV2rPT09iYyMlNWQaG1tLampqQwdOpThw4fb+3SAX2pvhYWFVFRUtDH+tHQHW2sEQeCVV15hw4YNHDp0iHHjxlnlOAryw+5C8/777/PGG29QWlpKREQEb7/9NtOmTev0+UeOHOGZZ54hMzOTkJAQnn32WZYuXWrDM752EASBiooKtm3bRlJSEgcOHCAsLIyEhAQSExO73fGk1+tJT0/H0dGRiRMndntLqqmpSRKd2tpafHx8pFkdS/mvNTY2kpqaKoXPyWV+B1qch1NTU2UXVw0tKacZGRmMHz8eV1dXqfZmyQ621giCwGuvvca6des4ePCgZEqrcH1gV6ERw4Pef/99brrpJj744AM+/vhjsrKyOrRtz8/PJzIykiVLlvDEE09w7NgxnnzySb766isWLlxoh3dw7SAW83fs2EFSUhJ79+5l6NChUrzB+PHjO1wJiKuFfv36dfqc7tDc3Cy5ElRXV0v+a2LEQW8Q6x5BQUFWK673lqqqKtLT06VmCTnRWmRaz6yIHWxiM0FdXZ3Uwebv79/rFnFBEPjXv/7FW2+9xYEDB4iKirLUW+kS5UZWHthVaKZOnUp0dDRr166VHhs3bhyJiYkdxqE+99xzbN++vU3G9tKlSzl9+jQnTpywyTn/WqitrWXnzp0kJSXx3XffERgYKIlOdHQ0Dg4OnD59mpycHMaPH9+reY/O0Ov10h10ZWVlm86o7np7iVtS9qx7dIaYcxMWFsbgwYPtfTpt6ExkOkI0Z+1pB1trBEHg3Xff5bXXXmPPnj1MmTLFUm+lS5QbWflgN6HR6/V4eHiwadMmFixYID3+xz/+kfT0dI4cOXLFa6ZPn05UVBTvvPOO9FhycjL/9V//RWNjo6xaWa8lGhoa2L17t5Sp4+vrS2xsLHv27OGJJ57glVdesdqFXPRfEzuj3N3dpYuZl5dXh8cVVwty3JKqqKjg9OnTVs256S09EZn2dLeDrTWCIPDhhx/y0ksvsXv3bm688UZLvZVuodzIyge79X+Wl5djMpkIDAxs83hgYCBlZWUdvqasrKzD54u+XcHBwVY7318z/fr1Y9GiRSxatIimpibeeOMN/ud//gdHR0e++uorGhoaSExMtEqmjrOzMyEhIYSEhEifo0aj4dSpU7i4uEiiI17MxAu5HFcLYpjauHHjZPe72BeRAXBxcZE+p9YdbGI7eXv3CEEQWL9+PX//+9/59ttvbS4yolnp888/3+bxWbNmcfz48Q5fc+LECWbNmtXmsdmzZ/PJJ59gMBiUG9k+YPdBg/Z3QoIgXPXuuaPnd/S4Qu/YuXMnr7/+Oh9//DH33HMP+/fvJykpiQceeEDK1FmwYAHTp0+3+B+ek5MTQUFBBAUFSf5rGo2GtLQ0HB0d8fLyoqKigvDwcEJCQix67L4iXsgjIyOvuBmyN6IA9lZk2uPo6EhgYCCBgYFt3CMyMzP57LPPqKmpITAwUAoA7GgOzNooN7Lywm5CI7ZRtv/QNRpNp3+oQUFBHT7fyclJVhYo1zJlZWV8/fXXxMfHAzB37lzmzp2LwWCQMnWWLFmCwWDgzjvvJDExkVtuucXirctiy21AQABms5nz589z+fJlHBwcOH/+PNXV1QQGBlrdxbg7iAOPlrqQWxKtVsuZM2esdm4ODg4MHDiQgQMHMnbsWBwcHHj11Vf54osvcHZ25l//+hcFBQWSXZKtUW5k5YHd/kJdXFyIiYlh3759bR7ft29fp8vsuLi4K56/d+9eYmNjlWWthVi+fLkkMq1xdnbmtttuY926ddJwqI+PD3/84x8ZPnw4jz32GDt27KCpqcni51RcXExxcTFRUVH85je/kbrfMjMzOXLkCGfPnkWr1WIymSx+7K4oLS0lMzOTCRMmyFZkIiMjbXJuKpUKrVbLTz/9xPbt2zl9+jRxcXGsW7eOlStXWv34rVFuZOWFLNqb161bR1xcHB9++CEfffQRmZmZDB06lFWrVlFcXMznn38O/NIV8sQTT7BkyRJOnDjB0qVLla4QO2I2mzl58qTkNF1eXs7s2bNJTExk1qxZfU6IzM/Pp6CggKioqCuSREUXY3FWx2Aw4OfnR2BgoFUHD0XEWGi5mYpCW5Gx1Vbet99+yyOPPMLGjRvbNPhAy8CvrS2Bpk6dSkxMDO+//770WHh4OAkJCZ02A+zYsYOsrCzpsd///vekp6crzQB9RBYDm//4xz8oLS0lMjKSf/3rX9Ke7sMPP0xBQQGHDx+Wnn/kyBFWrFgh9bk/99xzSp+7TDCbzaSkpEiiU1RUxO23305CQgJz587F29u7299LEATy8vIoKioiJiamy8AyQRCoq6uTRKe5uVnyX/Pz87P4ireoqIhz584xadIkWcVCwy81mYiICJuJzHfffccDDzzAp59+yuLFi21yzK5QbmTlg92Fxtb0ZIDr8OHD3HLLLVc8np2dzdixY619qtc0olW/KDp5eXnceuutzJ8/n3nz5l01UE0QBHJzc9FoNMTExPQ4sEwcPFSr1Wg0GhoaGqRpd39//z5Pu1+6dIm8vLwOV1n2xh4ic/DgQe655x7WrVvH/fffL6t6hnIjKw+uK6Hp6QCXKDS5ublt7sb9/f1lZdood0THZzE9VMzUSUxMZN68eW0ydQwGA7m5uVRXVxMTE2ORwLLGxkZJdOrq6vD19ZUaDXraxFBQUEB+fj7R0dH4+Pj0+dwsiT1E5ujRo9x999288847PPLII7ISGQX5cF0JTU8HuEShqaqqkt2d67WKmKkjik56ejo33XQTiYmJ3H777SxfvpzIyEhefvlli/mhtUb0X9NoNNTU1ODj4yOJTleidvHiRS5dukR0dHSPtgFtgT1E5vjx49x111384x//4IknnlBERqFT5GNza2XEAa72A1lXG+ASiYqKIjg4mFtvvZVDhw5Z8zR/9ahUKkaPHs2qVav46aefOHfuHPPmzeOrr74iMjKSH3/8kf79+1NeXo417oHc3d0ZOnQokydPZtq0aQQFBVFeXs6xY8f48ccfyc/Pp6Ghoc1rxHrRpUuXiImJkZ3IlJeX21xkfvrpJxYtWsTq1asVkVHoErsPbNqK3gxwBQcH8+GHHxITE4NOp+OLL77g1ltv5fDhw3YZQvu1oVKpGD58OI8//jjbt29nypQp3HXXXezatYtXX32VmJgYKcjNUpk6rXF1dWXIkCEMGTIEvV4vWeHk5eXRr18/aaVTWlpKaWkpsbGxfe6iszTl5eWcOXOG8PBwm4lMamoqCxYs4K9//SvLly9XREahS64boRHpyQDXmDFjGDNmjPT/uLg4Ll++zJtvvqkIjQVZtmwZ/fr147vvvsPDw4Nnn32WsrIyKVPn73//O+PHj5fiDayRUOni4sKgQYMYNGgQBoOB8vJy1Go1+fn5AISEhGA2m7sc+LMlrUUmKCjIJsc8c+YMCQkJPPvsszzzzDOy+VkoyJvrZuusNwNcHXHDDTdw/vx5S5/edc2bb77J1q1bpbgAlUpFcHAwTz75JPv376ekpIQnn3ySkydPMmXKFOLi4lizZg1ZWVlW2V5zdnYmKCgIV1dXXFxcCAsLw2QycerUKX744QepWcGe5U17iExWVhbx8fE89dRTPP/884rIKHSb664ZoCcDXB2xaNEiKisrOXjwoLVOU6ETxEyd7du3k5SUxL59+xg6dCgJCQksWLDAYumaYpdcZWVlm843k8lEZWWl1EzQ2ianf//+NrPCsYfI5ObmMmfOHB599FFWr16tiIxCj7iuhKanA1xvv/02w4YNIyIiAr1ez8aNG3nttddISkrirrvusvO7UaitreXbb7+VMnWCgoKk7TUxU6enCIJAZmYmNTU1xMTEdNr5JppJqtVqtFotgiDg7+9PYGAgAwYMsJroiO7VthSZCxcuMGfOHO655x7eeOMNu3vLKVx7XFe/MYsXL+btt9/mlVdeYdKkSRw9epRdu3YxdOhQoMW36tKlS9Lz9Xo9K1euZMKECUybNo0ffviBnTt3dltkjh49Snx8PCEhIahUKrZu3drla44cOSJd4EaMGMG6det69V6vB7y9vbnvvvtISkpCrVbz2muvUVJSwrx584iIiOC5557jxIkT3fZAM5vNZGRkUFtbS2xs7FXbq0UzyfDwcKZPn87EiRNxdHQkKytL8l/TaDQW9V8TRWbcuHE2E5mCggLJsVsRGYXecl2taGzN7t27OXbsGNHR0SxcuJDk5GQSExM7fb6S8GcZGhsb2bt3L0lJSXz77bd4eHgQHx9/1UwdUWQaGxuJiYnptXuAIAjU1tZKA6J6vb6NFU5v/b5ai4yt7OovX77MHXfcwaxZs1i7dq0iMgq9RhEaG6FSqboUGiXhz/I0Nzdz4MABtmzZwrZt23B0dJTu0KdNm4azszNNTU188803jB07lujo6D5b1IgIgkB9fb0kOk1NTW2scLrrv2YPkSktLWX27NlMnz6djz76SHHCUOgTitDYiO4IjRJVbV0MBgOHDx8mKSmJrVu3YjAYmD17NqmpqTg5OfH9999bPFenNfX19VIjQX19PQMGDJCaCToTN3uIjFqtZs6cOcTGxrJhwwZFZBT6zHU3RyNnlIQ/6+Ls7Mztt9/O7bffzrvvvsu+fft4/PHHUavVuLm5sWzZMhITE7n11lst4rHWHk9PTzw9PRkxYgSNjY1oNBpKSkrIycmhf//+kuiItSF7iEx5eTnx8fFMmDCB9evXKyKjYBEUoZEZSsKfbWhqauK1115j1KhRnD17lrNnz7J582aeffZZKioquOOOO0hISGD27Nk9do/uDh4eHgwbNoxhw4bR3NwsrXTOnTuHt7c3Xl5elJSUEB4ebjORqaysJD4+ntGjR7Nx40ab58co/HpRqnsyQkn4sx35+fn4+/uzc+dOfHx8uOmmm/jXv/7FxYsXOXDgAMOHD+fll19m2LBh3HfffXzzzTfU1tZa5Vzc3NwIDQ0lNjaW6dOn4+PjQ1FREWazmcLCwg791yxNdXU1CQkJDB48mK+//tpidSoFBVBqNDaju80ASsKffDCbzZw+fVrK1Ll48SK33norCQkJ3HnnnVfN1OktlZWVpKenM3bsWPz9/dFqtajVaiorK3F3dycgIIDAwEA8PT0tduza2loSExPx9vZm+/btVnHNVri+UVY0VqS+vp709HTS09OBlrvo9PR0aVZn1apVPPjgg9Lzly5dSmFhIc888wzZ2dl8+umnfPLJJzbPW1dowcHBgaioKFavXk1mZiYpKSlMmTKF9957j+HDh7NgwQLWr19vMafp1iITEhKCs7MzISEhREVFMWPGDEaMGEFDQwM//fQTx44d4/z589TU1PTp2PX19SxatAgPDw+2bt1qd5GpqqrigQcewMfHBx8fHx544AGqq6uv+pqHH34YlUrV5t8NN9xgmxNW6BbKisaKdJbQ+dBDD7F+/Xol4e8aRRAEzp8/L2XqnD59mptvvpmEhATmz59PYGBgj1cb7UXmaphMJioqKlCr1ZSXl+Pk5NTGCqe7x25sbGTRokWYzWZ27dolC2fqOXPmUFRUxIcffgjA448/zrBhw9ixY0enr3n44YdRq9V89tln0mMuLi6yi9i+nlGE5lfE0aNHeeONN0hJSaG0tLTLrTolqrrvCIJAfn4+SUlJbNmyhZ9//pm4uDjmz59PQkICgwYN6vLC3xORaY/ZbKaiogKNRoNWq0WlUkmi4+vr2+mQZXNzM4sXL6a+vp49e/bIImMnOzub8PBwTp48ydSpUwE4efIkcXFx5OTktHFSb83DDz9MdXV1t5w3FOyDsnX2K6KhoYGJEyfy7rvv9uh1ubm5UuZKaWkpo0ePttIZ/vpQqVSMGDGCP//5zxw/fpyLFy+ycOFCduzYQXh4ODNnzuSdd96hoKCgwy0uUWTGjBnTY5GBlu09f39/IiIimD59OpGRkQCcPXuWo0ePkpmZiVarxWw2S6/R6XT89re/paqqil27dslCZABOnDiBj4+PJDLQ4pbu4+PTZTjh4cOHCQgIICwsjCVLlqDRaKx9ugo9QOlf/BUxZ84c5syZ0+PXiVsuCn1DpVIRGhrK008/zR//+EdpVbllyxb+9re/MX78eBITE0lISGDUqFHs3r2bH374gWXLljFo0KA+H1/0Xxs4cCBjx46luroajUZDTk4OlZWVbNiwgXnz5rFr1y5KSko4cOAAvr6+FnjnlqGsrIyAgIArHg8ICOg0nBBafu/vvvtuhg4dSn5+Pn/961+ZOXMmKSkpVh3AVeg+yopGQYmqtgIqlYqQkBCWLVsmZeosXbqU48ePM3nyZCIjI7n33nul51nj+L6+vowZM4abb76ZyMhIgoODefbZZ/nuu+8YMmQIe/futVrLdmteeumlK4r17f+dOnVKOu/2dBU2t3jxYu68804iIyOJj49n9+7dnDt3jp07d1rtPSn0DEVormPEqGqxvjBmzBhuvfVWjh49au9T+1WhUqnw9/fn8ccfZ/fu3SQnJ1NWVsbYsWNZu3YtsbGxvPLKK5w5c6bNFpcljz906FCam5sZMmQIBw4cICYmhjVr1hAQEEBGRobFj9ma5cuXk52dfdV/kZGRBAUFoVarr3i9VqvtUThhcHAwQ4cOVQIK5YSg8KsEEJKTk3v8unnz5gnx8fGWPyEFQRAE4fvvvxe8vLyEjz/+WBAEQaiurhY2btwoLFiwQPDw8BBGjhwprFixQjh69KhQV1cnNDQ09PlfbW2t8OCDDwqjRo0SioqK2pxPbm6uYDQa7fGjuIKsrCwBEH788UfpsZMnTwqAkJOT0+3vU15eLri6ugobNmywxmkq9AJlRaPQBiWq2roMGDCAd999l8ceewwAHx8f7r//frZs2YJarWbNmjUUFxdLW0HPPfccJ0+e7HWujdlsZsWKFXz//ffs37//ilpQWFiYbPzMxo0bxx133MGSJUs4efIkJ0+eZMmSJcybN69Nx9nYsWNJTk4GWuaAVq5cyYkTJ6RRgfj4ePz8/FiwYIG93opCO5RmAIU2pKWlKeadViQ8PJzw8PAOv+bp6cl//dd/SW7de/bsISkpiYULF+Lh4cH8+fNJTEwkLi6uWz5kZrOZZ599lr1793L48GEp4E/O/Pvf/+YPf/gDs2bNAmD+/PlXdFHm5uZSU1MDgKOjIxkZGXz++edUV1cTHBzMLbfcwjfffIOXl5fNz1+hY5Q5ml8R9fX1XLhwAWgp8L/11lvccsstDBgwgNDQUCWq+hqlubmZ/fv3S5k6Tk5OUpCbmKnTHrPZzIsvvsjmzZs5fPiw0rKuYF/svXenYDkOHTokAFf8e+ihhwRBEISHHnpImDFjhvT8119/XRg5cqTg5uYm+Pr6CjfffLOwc+fOHh1zzZo1QmxsrODp6Sn4+/sLCQkJ3dpPP3z4sBAdHS24uroKw4cPF9auXduj416v6PV6Yc+ePcLjjz8uBAQECAMGDBAefPBBYcuWLUJlZaXQ0NAg1NfXC3/+85+FwMBAITs7296nrKAgKCsahT5xxx13cM899zB58mSMRiMvvvgiGRkZZGVldWqvr0RWWwaj0cgPP/zApk2b2Lp1Kw0NDcydOxeTycTBgwc5dOiQNMCpoGBPFKFRsCharZaAgACOHDnC9OnTO3yOEllteUwmEydOnOCLL75g/fr17N+/n2nTptn7tBQUAGWORsHCiEXaqxkanjhxQir2isyePZtTp05hMBisen6/VhwdHbn55pv54IMPaGxsVERGQVYoQqNgMQRB4JlnnpEm0Tujq8hqhb4hl3ZlBQURpb1ZwWIsX76cM2fO8MMPP3T5XCWyWkHh+kERGgWL8NRTT7F9+3aOHj3K4MGDr/pcJbJaQeH6Qtk6U+gTgiCwfPlytmzZwsGDBxk+fHiXr4mLi2Pfvn1tHtu7dy+xsbEdzoQoKChc2yhCo9Anli1bxsaNG/nyyy/x8vKirKyMsrIympqapOcokdUKCtc3SnuzQp/orKby2Wef8fDDDwMokdUKCtc5itAoXHO8+uqrbNmyhZycHNzd3bnxxht5/fXXO436BSW2WkHBnihbZwrXHEeOHGHZsmWcPHmSffv2YTQamTVrFg0NDV2+VomtVlCwPcqKRuGapztuBOKKpqqqSomtVlCwMcqKRuGapztuBCJKbLWCgu1RVjQK1zSCIJCQkEBVVRXff/99p8/Lzc3l6NGjxMTEoNPp+OKLL1i3bh2HDx/udBWkoKBgGRShUbimWbZsGTt37uSHH37oclC0PfHx8ahUKrZv326ls/t1sXr1anbu3El6ejouLi5UV1d3+RpBEHj55Zf58MMPqaqqYurUqbz33ntERERY/4QVZIOydaZwzSK6ERw6dKjHIgNKbHVP0ev13H333fz+97/v9mv+8Y9/8NZbb/Huu+/y888/ExQUxO23305dXZ0Vz1RBbigrGoVrDkEQeOqpp0hOTu5TeuSiRYuorKzk4MGDFj7DXzfr16/n6aef7nJFIwgCISEhPP300zz33HMA6HQ6AgMDef3113niiSdscLYKckDxOlO45li2bBlffvkl27Ztk9wIAHx8fHB3dwfoVmx1UlISSUlJdnsfv3by8/MpKytrEwnh6urKjBkzOH78uCI01xGK0Chcc6xduxaA3/zmN20eb+1GUFpayqVLl6Sv6fV6Vq5cSXFxMe7u7kRERLBz507mzp1rq9O+7hBvADqKhCgsLLTHKSnYCaVGo3DNIQhCh/9EkYGW7Z3WljfPPvssFy5coKmpicrKSr7//vsei8zatWuZMGEC3t7eeHt7ExcXx+7du6/6miNHjhATE4ObmxsjRoxg3bp1PTqmtXnppZdQqVRX/Xfq1Kk+HaOjSAglDuL6QlnRKCh0k8GDB/Paa68xatQoADZs2EBCQgJpaWkddlHl5+czd+5clixZwsaNGzl27BhPPvkk/v7+LFy40Nan3yHLly/nnnvuuepzhg0b1qvvHRQUBLSsbIKDg6XHNRrNFaschV83itAoKHST+Pj4Nv9fvXo1a9eu5eTJkx0Kzbp16wgNDeXtt98GYNy4cZw6dYo333xTNkLj5+eHn5+fVb738OHDCQoKYt++fURFRQEtW5hHjhzh9ddft8oxFeSJsnWmoNALTCYTX3/9NQ0NDcTFxXX4nBMnTrQphAPMnj2bU6dOYTAYbHGaFuXSpUukp6dz6dIlTCYT6enppKenU19fLz1n7NixJCcnAy1bZk8//TRr1qwhOTmZs2fP8vDDD+Ph4cF9991nr7ehYAeUFY2CQg/IyMggLi6O5uZmPD09SU5OJjw8vMPnlpWVdVgINxqNlJeXt9lOuhb429/+xoYNG6T/i6uUQ4cOSY0Zubm5kiUQtNTGmpqaePLJJ6WBzb179+Ll5WXTc1ewL8ocjYJCD9Dr9Vy6dInq6mqSkpL4+OOPOXLkSIdiExYWxiOPPMKqVaukx44dO8bNN99MaWmpVMNQUPi1o6xoFBR6gIuLi9QMEBsby88//8w777zDBx98cMVzg4KCpBZfEY1Gg5OTEwMHDrTJ+SooyAGlRqOg0AcEQUCn03X4tbi4OPbt29fmsb179xIbG4uzs7MtTk9BQRYoQqOg0E1eeOEFvv/+ewoKCsjIyODFF1/k8OHD3H///UCLG8GDDz4oPX/p0qUUFhbyzDPPkJ2dzaeffsonn3zCypUr7fUWFBTsgrJ1pqDQTdRqNQ888AClpaX4+PgwYcIEvvvuO26//XbgSjeC4cOHs2vXLlasWMF7771HSEgI//u//yub1mYFBVuhNAMoKCgoKFgVZetMQUFBQcGqKEKjoKCgoGBVFKFRUFBQULAqitAoKCgoKFgVRWgUFBQUFKyKIjQKCgoKClZFERoFBQUFBauiCI2CgoKCglVRhEZBQUFBwaooQqOgoKCgYFUUoVFQUFBQsCr/H4P352qKNLdvAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(); ax = plt.axes(projection='3d'); \n", "SetTitle3D(ax,\"Minimal path for the Reeds-Shepp *forward* model\")\n", "for curve in curvePoints: ax.plot(*curve)\n", "ax.plot(*hfmOut['geodesic_Unoriented'][:3]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.6 Stopping criteria based on Voronoi diagrams\n", "\n", "We end this section by illustrating another stopping criterion, based on Voronoi diagrams, applicable for fast geodesic computation in high dimensional domains. We continue the previous experiment, and recall that we use the Reeds-Shepp *forward* model, posed on $\\mathbb R^3 \\times \\mathbb S^2$. We will not need any tips. " ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:29.409724Z", "iopub.status.busy": "2024-02-23T18:49:29.409630Z", "iopub.status.idle": "2024-02-23T18:49:29.411389Z", "shell.execute_reply": "2024-02-23T18:49:29.411179Z" } }, "outputs": [], "source": [ "hfmIn.pop('tips_Unoriented',None);\n", "hfmIn.pop('stopWhenAllAccepted_Unoriented',None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead, two (unoriented) seeds points are introduced. The HFM library is instructed to compute the corresponding Voronoi regions, and to stop the front propagation as soon as they contain points with similar physical position but opposite orientation. In other words of the form $(x,n)$ and $(x,-n)$ in $\\mathbb R^3 \\times \\mathbb S^2$." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:29.412587Z", "iopub.status.busy": "2024-02-23T18:49:29.412506Z", "iopub.status.idle": "2024-02-23T18:49:29.414354Z", "shell.execute_reply": "2024-02-23T18:49:29.414157Z" } }, "outputs": [], "source": [ "hfmIn['seeds_Unoriented'] = [[0,0,0],[np.pi,0,0]]\n", "hfmIn['seedFlags_Unoriented'] = [0,1]\n", "hfmIn['voronoiStoppingCriterion'] = 'OppositesMeeting'" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:29.415493Z", "iopub.status.busy": "2024-02-23T18:49:29.415420Z", "iopub.status.idle": "2024-02-23T18:49:31.174085Z", "shell.execute_reply": "2024-02-23T18:49:31.173815Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Fast marching solver completed in 1.48633 s.\n", "Field exportVoronoiFlags defaults to 1\n", "Field voronoiDiagram_exportGeodesicFromMeetingPoint defaults to 1\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 18.5647\n", "CPU times: user 44.1 ms, sys: 45.6 ms, total: 89.6 ms\n", "Wall time: 1.76 s\n" ] } ], "source": [ "%%time\n", "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:31.175665Z", "iopub.status.busy": "2024-02-23T18:49:31.175548Z", "iopub.status.idle": "2024-02-23T18:49:31.177516Z", "shell.execute_reply": "2024-02-23T18:49:31.177277Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.59864293 -0.97463119 0. 1.17809725 4.71238898] \n", " [ 1.59864293 -0.97463119 0. 1.96349541 1.57079633]\n" ] } ], "source": [ "# The voronoi regions contain two points with opposite orientations.\n", "print(hfmOut['voronoiDiagram_meetingPoint0'],'\\n',hfmOut['voronoiDiagram_meetingPoint1'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The minimal path joining the two seeds is obtained as the concatenation of the two minimal paths, from these meeting points to the seeds of the respective Voronoi regions." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:31.178763Z", "iopub.status.busy": "2024-02-23T18:49:31.178665Z", "iopub.status.idle": "2024-02-23T18:49:31.235930Z", "shell.execute_reply": "2024-02-23T18:49:31.235703Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d'); \n", "SetTitle3D(ax,\"The two halves of the minimal path, for the Reeds-Shepp *forward* model\")\n", "for curve in curvePoints: ax.plot(*curve)\n", "for geo in hfmOut['geodesics_voronoiDiagram']: ax.plot(*geo[:3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We next turn to the Reeds-Shepp model, instantiated in the projective space $\\mathbb R^3 \\times \\mathbb P^2$. The previous stopping criterion does not apply, since $(x,n)$ and $(x,-n)$ both designate the same point in the projective space, hence they cannot belong to distinct Voronoi regions. Instead, the HFM library is instructed to stop the front propagation as soon as the two Voronoi regions contain points distant from one pixel in the cartesian discretization grid. For that purpose, we use the key `RegionsMeeting` instead of `OppositesMeeting`." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:31.237269Z", "iopub.status.busy": "2024-02-23T18:49:31.237176Z", "iopub.status.idle": "2024-02-23T18:49:31.238958Z", "shell.execute_reply": "2024-02-23T18:49:31.238744Z" } }, "outputs": [], "source": [ "hfmIn['model'] = 'ReedsShepp3'\n", "hfmIn['projective']=1\n", "hfmIn['dims'][3] = nPhi/4\n", "hfmIn['voronoiStoppingCriterion'] = 'RegionsMeeting'" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:31.240139Z", "iopub.status.busy": "2024-02-23T18:49:31.240063Z", "iopub.status.idle": "2024-02-23T18:49:33.946725Z", "shell.execute_reply": "2024-02-23T18:49:33.946408Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field dual defaults to 0\n", "Field order defaults to 1\n", "Fast marching solver completed in 2.53727 s.\n", "Field exportVoronoiFlags defaults to 1\n", "Field voronoiDiagram_exportGeodesicFromMeetingPoint defaults to 1\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 18.5647\n", "CPU times: user 23.9 ms, sys: 35.9 ms, total: 59.9 ms\n", "Wall time: 2.7 s\n" ] } ], "source": [ "%%time\n", "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:33.948239Z", "iopub.status.busy": "2024-02-23T18:49:33.948130Z", "iopub.status.idle": "2024-02-23T18:49:33.950314Z", "shell.execute_reply": "2024-02-23T18:49:33.950106Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.54294972 -0.97463119 0.05569321 1.17809725 4.71238898] \n", " [ 1.54294972 -0.97463119 0.05569321 1.17809725 4.97418837]\n" ] } ], "source": [ "# The Voronoi regions contain two points separated by one pixel.\n", "print(hfmOut['voronoiDiagram_meetingPoint0'],'\\n',hfmOut['voronoiDiagram_meetingPoint1'])" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:33.951474Z", "iopub.status.busy": "2024-02-23T18:49:33.951377Z", "iopub.status.idle": "2024-02-23T18:49:34.034064Z", "shell.execute_reply": "2024-02-23T18:49:34.033801Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d'); \n", "SetTitle3D(ax,\"The two halves of the minimal path, for the Reeds-Shepp model\")\n", "for curve in curvePoints: ax.plot(*curve)\n", "for geo in hfmOut['geodesics_voronoiDiagram']: ax.plot(*geo[:3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. A motion planning example \n", "\n", "We conclude this notebook by a motion planning example. By motion planning, we refer to the context where the cost function is constant $c=1$, but the domain features obstacles. \n", "\n", "The relevancy of the three dimensional Reeds-Shepp model for motion planning should not be over-emphasized, in contrast with applications to tubular structure segmentation where it is perfectly natural and efficient (given enough computation time). Indeed this model assumes a vehicle that:\n", "* Can be oriented in any spatial direction $n \\in \\mathbb S^2$.\n", "* Can move forward and backward in this direction.\n", "* Can rotate in place.\n", "* Is not sensitive to the roll angle, which is neglected in this model.\n", "\n", "Perhaps some submarines, or spatial vehicles, can fit part of this description. Alternatively, some application specific models will need to be developed. The following experiment should only be regarded as the demonstration that 5 dimensional non-holonomic path planning is feasible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.1 Defining the domain.\n", "\n", "We introduce a box domain, featuring a wall, with a hole, and a column. We also define a seed point, from which the front propagation is to be initiated, and a family of tips, from which minimal geodesics are to be backtraced." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:34.035532Z", "iopub.status.busy": "2024-02-23T18:49:34.035434Z", "iopub.status.idle": "2024-02-23T18:49:34.038441Z", "shell.execute_reply": "2024-02-23T18:49:34.038201Z" } }, "outputs": [], "source": [ "# Let us construct a round shaped obstacle, and 1-pixel thick wall\n", "X,Y,Z = np.mgrid[-1.5:1.5:60j, -0.5:1.5:40j, -0.625:0.625:25j]\n", "\n", "column = (X-0.6)**2+(Y-0.7)**2 <= 0.4**2\n", "floor = np.logical_and(np.logical_and(np.abs(Z)<0.05, Y>=0), (X+0.6)**2+(Y-0.7)**2 >= 0.3**2 )\n", "obstacle = np.logical_or(column,floor)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:34.039705Z", "iopub.status.busy": "2024-02-23T18:49:34.039623Z", "iopub.status.idle": "2024-02-23T18:49:34.041826Z", "shell.execute_reply": "2024-02-23T18:49:34.041597Z" } }, "outputs": [], "source": [ "physSeeds = np.array([ [0.,0.25,0.4] ])\n", "physTips = np.array([ [x,y,z] \n", " for x in Eikonal.CenteredLinspace(-1.5,1.5,4)\n", " for y in Eikonal.CenteredLinspace(-0.5,1.5,2)\n", " for z in Eikonal.CenteredLinspace(-0.625,0.625,2)\n", " ])" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:34.043072Z", "iopub.status.busy": "2024-02-23T18:49:34.042995Z", "iopub.status.idle": "2024-02-23T18:49:34.045082Z", "shell.execute_reply": "2024-02-23T18:49:34.044880Z" } }, "outputs": [], "source": [ "if useMayavi: \n", " mlab.contour3d(X,Y,Z,obstacle.astype(float), contours=[0.15])\n", " mlab.points3d(physTips[:,0],physTips[:,1],physTips[:,2],color=(0,1,0),scale_factor=0.1)\n", " mlab.points3d(physSeeds[:,0],physSeeds[:,1],physSeeds[:,2],color=(1,0,1),scale_factor=0.1)\n", " mlab.view(azimuth=-60) #,elevation=120\n", " mlab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Obstacles, seeds and tips, as displayed by the previous command.\n", "![domain](https://dl.dropbox.com/s/s4kqppgm1h0phs6/A5_Planning_Domain.png?dl=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2 Isotropic fast marching\n", "\n", "Using standard isotropic fast marching, we compute the shortest paths from the seed to the various tips, avoiding all obstacles." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:34.046322Z", "iopub.status.busy": "2024-02-23T18:49:34.046242Z", "iopub.status.idle": "2024-02-23T18:49:34.048100Z", "shell.execute_reply": "2024-02-23T18:49:34.047902Z" } }, "outputs": [], "source": [ "physDims = [60,40,25] # Physical dimensions \n", "hfmIn = Eikonal.dictIn({\n", " 'model':'Isotropic3',\n", " 'dims':physDims,\n", " 'gridScale':0.05,\n", " 'origin':[-1.5,-0.5,-0.625],\n", " 'cost':1,\n", " 'walls':obstacle,\n", " 'seeds':physSeeds,\n", " 'tips':physTips,\n", "})" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:34.049278Z", "iopub.status.busy": "2024-02-23T18:49:34.049203Z", "iopub.status.idle": "2024-02-23T18:49:34.083351Z", "shell.execute_reply": "2024-02-23T18:49:34.083063Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 0.015897 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 10.985\n" ] } ], "source": [ "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:34.084684Z", "iopub.status.busy": "2024-02-23T18:49:34.084584Z", "iopub.status.idle": "2024-02-23T18:49:34.086741Z", "shell.execute_reply": "2024-02-23T18:49:34.086507Z" } }, "outputs": [], "source": [ "if useMayavi: # Set to true for mlab display (in external window)\n", " mlab.contour3d(X,Y,Z,obstacle.astype(float), contours=[0.15])\n", " for geo in GetGeodesics(hfmOutput):\n", " mlab.plot3d(*geo,tube_radius=0.01)\n", " mlab.view(azimuth=-60) #,elevation=120\n", " mlab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Minimal paths and obstacles avoided, as displayed by the previous command.\n", "\n", "Top | Bottom\n", ":---:|:---:\n", "![top view](https://dl.dropbox.com/s/xfsgmqboz5iu7g0/A5_Iso_Planning.png?dl=0) | ![bottom view](https://dl.dropbox.com/s/ojdcerrq1x0zqas/A5_Iso_Planning_Bottom.png?dl=0)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:34.087932Z", "iopub.status.busy": "2024-02-23T18:49:34.087845Z", "iopub.status.idle": "2024-02-23T18:49:34.089499Z", "shell.execute_reply": "2024-02-23T18:49:34.089289Z" } }, "outputs": [], "source": [ "hfmIn.pop('seeds',None);\n", "hfmIn.pop('tips',None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.3 The Reeds-Shepp model\n", "\n", "In the next experiment, we extract minimal paths with respect to the Reeds-Shepp model. These paths are smoother than the previous minimal euclidean ones, due to the curvature penalization. They also have a distinctive feature: cusps, at the points where the vehicle shifts into reverse gear." ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:34.090719Z", "iopub.status.busy": "2024-02-23T18:49:34.090619Z", "iopub.status.idle": "2024-02-23T18:49:34.092675Z", "shell.execute_reply": "2024-02-23T18:49:34.092464Z" } }, "outputs": [], "source": [ "hfmIn.update({\n", " 'model':'ReedsShepp3',\n", " 'eps':0.15,\n", " 'xi':1,\n", " 'dual':0,\n", " 'projective':1,\n", " 'dims':np.concatenate((physDims,(nPhi/4,nPhi))),\n", " \n", " 'seeds':[np.concatenate((p,EulerAngles([1,0,0]))) for p in physSeeds],\n", " 'tips':[np.concatenate((p,EulerAngles([0,1,0]))) for p in physTips],\n", " 'tips_Unoriented':physTips,\n", "})" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:34.093885Z", "iopub.status.busy": "2024-02-23T18:49:34.093797Z", "iopub.status.idle": "2024-02-23T18:49:57.879694Z", "shell.execute_reply": "2024-02-23T18:49:57.879318Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 22.9929 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 18.5647\n", "CPU times: user 1.92 ms, sys: 4.63 ms, total: 6.55 ms\n", "Wall time: 23.8 s\n" ] } ], "source": [ "%%time\n", "# Warning : may take up to a minute.\n", "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:57.881479Z", "iopub.status.busy": "2024-02-23T18:49:57.881332Z", "iopub.status.idle": "2024-02-23T18:49:57.883724Z", "shell.execute_reply": "2024-02-23T18:49:57.883489Z" } }, "outputs": [], "source": [ "if useMayavi:\n", " mlab.contour3d(X,Y,Z,obstacle.astype(float), contours=[0.15])\n", " for geo in GetGeodesics(hfmOutput):\n", " mlab.plot3d(geo[:,0],geo[:,1],geo[:,2],tube_radius=0.01)\n", " mlab.view(azimuth=-60) #,elevation=120\n", " mlab.show()" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:57.885056Z", "iopub.status.busy": "2024-02-23T18:49:57.884954Z", "iopub.status.idle": "2024-02-23T18:49:57.887023Z", "shell.execute_reply": "2024-02-23T18:49:57.886790Z" } }, "outputs": [], "source": [ "if useMayavi:\n", " for geo in GetGeodesics(hfmOutput):\n", " geo = geo[:,::8]\n", " mlab.quiver3d(*geo[:3], *UnitVector(geo[3:]))\n", " mlab.view(azimuth=-60) #,elevation=120\n", " mlab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Left: Minimal Reeds-Shepp paths and obstacles avoided. Right: verification that the sub-Riemannian colinearity constraint is correctly enforced, i.e. the orientations $n$ displayed as red arrows, are tangent to the curve, i.e. colinear with the physical velocity $\\dot x$.\n", "\n", "Paths and obstacles | Orientations\n", "--- | ---\n", "![paths](https://dl.dropbox.com/s/twhty44oxzd5l70/A5_RS_Planning_Top.png?dl=0) | ![arrows](https://dl.dropbox.com/s/s20y14pwuk2sge5/A5_RS_Planning_Arrows.png?dl=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next cell we display the minimal Reeds-Shepp geodesics backtracked from the unoriented seeds, thus with the most favorable initial direction." ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:57.888525Z", "iopub.status.busy": "2024-02-23T18:49:57.888385Z", "iopub.status.idle": "2024-02-23T18:49:57.890761Z", "shell.execute_reply": "2024-02-23T18:49:57.890446Z" } }, "outputs": [], "source": [ "if useMayavi:\n", " mlab.contour3d(X,Y,Z,obstacle.astype(float), contours=[0.15])\n", " for geo in GetGeodesics(hfmOutput,'Unoriented'):\n", " mlab.plot3d(*geo[:3],tube_radius=0.01)\n", " mlab.view(azimuth=-60) #,elevation=120\n", " mlab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![unoriented](https://dl.dropbox.com/s/7rx45n7w8nfldoz/A5_RS_Planning_Unoriented.png?dl=0)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:57.892430Z", "iopub.status.busy": "2024-02-23T18:49:57.892312Z", "iopub.status.idle": "2024-02-23T18:49:57.894238Z", "shell.execute_reply": "2024-02-23T18:49:57.893978Z" } }, "outputs": [], "source": [ "hfmIn.pop('tipsUnoriented',None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Reeds-Shepp *dual* variant is, at first sight, mostly irrelevant for motion planning. Nevertheless, we display the corresponding curves and orientations, to illustrate the fact that the model is genuinely different from the original Reeds-Shepp model, and that the sub-Riemannian constraint is correctly enforced. Namely orthogonality, instead of colinearity above, of the orientation $n \\in \\mathbb P^2$ with the physical velocity $\\dot x \\in \\mathbb R^3$." ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:57.896091Z", "iopub.status.busy": "2024-02-23T18:49:57.895811Z", "iopub.status.idle": "2024-02-23T18:49:57.897798Z", "shell.execute_reply": "2024-02-23T18:49:57.897510Z" } }, "outputs": [], "source": [ "hfmIn['dual']=1" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:49:57.899294Z", "iopub.status.busy": "2024-02-23T18:49:57.899183Z", "iopub.status.idle": "2024-02-23T18:50:21.394284Z", "shell.execute_reply": "2024-02-23T18:50:21.393977Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 22.8539 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 18.5647\n", "CPU times: user 1.91 ms, sys: 5.16 ms, total: 7.08 ms\n", "Wall time: 23.5 s\n" ] } ], "source": [ "%%time\n", "# Warning : may take up to a minute.\n", "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:50:21.395761Z", "iopub.status.busy": "2024-02-23T18:50:21.395655Z", "iopub.status.idle": "2024-02-23T18:50:21.397834Z", "shell.execute_reply": "2024-02-23T18:50:21.397630Z" } }, "outputs": [], "source": [ "if useMayavi:\n", " mlab.contour3d(X,Y,Z,obstacle.astype(float), contours=[0.15])\n", " for geo in GetGeodesics(hfmOutput):\n", " mlab.plot3d(*geo[:3],tube_radius=0.01)\n", " mlab.view(azimuth=-60) #,elevation=120\n", " mlab.show()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:50:21.399171Z", "iopub.status.busy": "2024-02-23T18:50:21.399085Z", "iopub.status.idle": "2024-02-23T18:50:21.401014Z", "shell.execute_reply": "2024-02-23T18:50:21.400796Z" } }, "outputs": [], "source": [ "if useMayavi:\n", " for geo in GetGeodesics(hfmOutput):\n", " geo = geo[::8,:]\n", " mlab.quiver3d(geo[:3], UnitVector(geo[3:]))\n", " mlab.view(azimuth=-60) #,elevation=120\n", " mlab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mayavi output for the Reeds-Shepp *dual* model.\n", "\n", "Paths and obstacles | Orientation \n", "--- | ---\n", "![paths](https://dl.dropbox.com/s/5ev4yzyz3i6lwds/A5_RSD_Planning_Top.png?dl=0) | ![arrows](https://dl.dropbox.com/s/ba7qe645ixg98xy/A5_RSD_Planning_Arrows.png?dl=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.4 The Reeds-Shepp forward variant\n", "\n", "The *forward* variant eliminates the reverse gear in the Reeds-Shepp model. \n", "The physical velocity $\\dot x$ must be positively colinear with the orientation $n \\in \\mathbb S^2$.\n", "As a result, cusps disappear in the extracted trajectories. A new phenomenon arises however, in particular at the curve endpoints and around obstacles: in place rotations, at which the orientation $n\\in \\mathbb S^2$ changes, but the physical position $x \\in U \\subset \\mathbb R^3$ remains constant." ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:50:21.402323Z", "iopub.status.busy": "2024-02-23T18:50:21.402249Z", "iopub.status.idle": "2024-02-23T18:50:21.404178Z", "shell.execute_reply": "2024-02-23T18:50:21.403965Z" } }, "outputs": [], "source": [ "hfmIn['model'] = 'ReedsSheppForward3'\n", "\n", "hfmIn.pop('projective',None) # This model does not have a `projective variant': Orientations in S^2, not P^2.\n", "hfmIn.pop('dual',None) \n", "hfmIn['dims'][3:5]=nPhi/2,nPhi # S^2 requires nPhi/2, nPhi" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:50:21.405373Z", "iopub.status.busy": "2024-02-23T18:50:21.405289Z", "iopub.status.idle": "2024-02-23T18:50:44.396850Z", "shell.execute_reply": "2024-02-23T18:50:44.396496Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 21.4761 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 18.5647\n" ] } ], "source": [ "# Warning : may take up to a minute.\n", "hfmOut = hfmIn.Run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For some reason, mayavi will not plot a line if two consecutive elements are equal. This arises here, due to the *in place rotations* of the minimal curves. In other words, for some time, the geodesic physical position remains constant, while the angular orientation changes. For plotting, the angular part of the geodesic is removed, hence we are left with the physical part, which in constant in some time intervals.\n", "\n", "For dealing with this issue, we introduce the following function. It deletes consecutive duplicates in an 2-dimensional array, regarded as a list of vectors." ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:50:44.398409Z", "iopub.status.busy": "2024-02-23T18:50:44.398296Z", "iopub.status.idle": "2024-02-23T18:50:44.400163Z", "shell.execute_reply": "2024-02-23T18:50:44.399950Z" } }, "outputs": [], "source": [ "from itertools import groupby\n", "def DeleteConsecutiveDuplicates(L): \n", " return np.array([x[0] for x in groupby(L, lambda x:tuple(x))])" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:50:44.401535Z", "iopub.status.busy": "2024-02-23T18:50:44.401440Z", "iopub.status.idle": "2024-02-23T18:50:44.403443Z", "shell.execute_reply": "2024-02-23T18:50:44.403220Z" } }, "outputs": [], "source": [ "if useMayavi:\n", " mlab.contour3d(X,Y,Z,obstacle.astype(float), contours=[0.15])\n", " for geo in GetGeodesics(hfmOutput):\n", " # Project to the physical space, and gather stationnary points.\n", " geo=DeleteConsecutiveDuplicates(geo[:3])\n", " mlab.plot3d(*geo,tube_radius=0.01)\n", " mlab.view(azimuth=-60) #,elevation=120\n", " mlab.show()" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:50:44.404609Z", "iopub.status.busy": "2024-02-23T18:50:44.404519Z", "iopub.status.idle": "2024-02-23T18:50:44.406454Z", "shell.execute_reply": "2024-02-23T18:50:44.406195Z" } }, "outputs": [], "source": [ "if useMayavi:\n", " for geo in GetGeodesics(hfmOutput):\n", " geo = geo[:,::8]\n", " mlab.quiver3d(*geo[:3], *UnitVector(geo[3:]))\n", " mlab.view(azimuth=-60) #,elevation=120\n", " mlab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Paths and obstacles | Orientations\n", "--- | ---\n", "![paths](https://dl.dropbox.com/s/g5btbghkvftpmvc/A5_RSF_Planning_Top.png?dl=0) | ![arrows](https://dl.dropbox.com/s/osh0uqheeujuit8/A5_RSF_Planning_Arrows.png?dl=0)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.1" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": false, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }