{ "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": "2024-04-30T08:57:28.527654Z", "iopub.status.busy": "2024-04-30T08:57:28.527343Z", "iopub.status.idle": "2024-04-30T08:57:28.540093Z", "shell.execute_reply": "2024-04-30T08:57:28.539528Z" } }, "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": "2024-04-30T08:57:28.543390Z", "iopub.status.busy": "2024-04-30T08:57:28.542860Z", "iopub.status.idle": "2024-04-30T08:57:28.807939Z", "shell.execute_reply": "2024-04-30T08:57:28.807638Z" } }, "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": "2024-04-30T08:57:28.809866Z", "iopub.status.busy": "2024-04-30T08:57:28.809730Z", "iopub.status.idle": "2024-04-30T08:57:28.816003Z", "shell.execute_reply": "2024-04-30T08:57:28.815676Z" } }, "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": "2024-04-30T08:57:28.817919Z", "iopub.status.busy": "2024-04-30T08:57:28.817781Z", "iopub.status.idle": "2024-04-30T08:57:28.819651Z", "shell.execute_reply": "2024-04-30T08:57:28.819388Z" } }, "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": "2024-04-30T08:57:28.821120Z", "iopub.status.busy": "2024-04-30T08:57:28.821012Z", "iopub.status.idle": "2024-04-30T08:57:28.823026Z", "shell.execute_reply": "2024-04-30T08:57:28.822795Z" } }, "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": "2024-04-30T08:57:28.824472Z", "iopub.status.busy": "2024-04-30T08:57:28.824367Z", "iopub.status.idle": "2024-04-30T08:57:28.825830Z", "shell.execute_reply": "2024-04-30T08:57:28.825591Z" } }, "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": "2024-04-30T08:57:28.827200Z", "iopub.status.busy": "2024-04-30T08:57:28.827125Z", "iopub.status.idle": "2024-04-30T08:57:28.925896Z", "shell.execute_reply": "2024-04-30T08:57:28.925583Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2024-04-30T08:57:28.927760Z", "iopub.status.busy": "2024-04-30T08:57:28.927650Z", "iopub.status.idle": "2024-04-30T08:57:28.929470Z", "shell.execute_reply": "2024-04-30T08:57:28.929191Z" } }, "outputs": [], "source": [ "savefig(fig,'Sampling_S2.png')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-04-30T08:57:28.931011Z", "iopub.status.busy": "2024-04-30T08:57:28.930899Z", "iopub.status.idle": "2024-04-30T08:57:29.026623Z", "shell.execute_reply": "2024-04-30T08:57:29.026356Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2024-04-30T08:57:29.028282Z", "iopub.status.busy": "2024-04-30T08:57:29.028171Z", "iopub.status.idle": "2024-04-30T08:57:29.030197Z", "shell.execute_reply": "2024-04-30T08:57:29.029975Z" } }, "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": "2024-04-30T08:57:29.031524Z", "iopub.status.busy": "2024-04-30T08:57:29.031418Z", "iopub.status.idle": "2024-04-30T08:57:29.033480Z", "shell.execute_reply": "2024-04-30T08:57:29.033249Z" } }, "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": "2024-04-30T08:57:29.035023Z", "iopub.status.busy": "2024-04-30T08:57:29.034923Z", "iopub.status.idle": "2024-04-30T08:57:29.037321Z", "shell.execute_reply": "2024-04-30T08:57:29.037071Z" } }, "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": "2024-04-30T08:57:29.038690Z", "iopub.status.busy": "2024-04-30T08:57:29.038596Z", "iopub.status.idle": "2024-04-30T08:57:29.096241Z", "shell.execute_reply": "2024-04-30T08:57:29.095974Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2024-04-30T08:57:29.097852Z", "iopub.status.busy": "2024-04-30T08:57:29.097743Z", "iopub.status.idle": "2024-04-30T08:57:29.099942Z", "shell.execute_reply": "2024-04-30T08:57:29.099682Z" } }, "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": "2024-04-30T08:57:29.101292Z", "iopub.status.busy": "2024-04-30T08:57:29.101185Z", "iopub.status.idle": "2024-04-30T08:57:29.103278Z", "shell.execute_reply": "2024-04-30T08:57:29.103066Z" } }, "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": "2024-04-30T08:57:29.104709Z", "iopub.status.busy": "2024-04-30T08:57:29.104594Z", "iopub.status.idle": "2024-04-30T08:57:29.134706Z", "shell.execute_reply": "2024-04-30T08:57:29.134361Z" } }, "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 0.019111 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": "2024-04-30T08:57:29.136375Z", "iopub.status.busy": "2024-04-30T08:57:29.136263Z", "iopub.status.idle": "2024-04-30T08:57:29.138700Z", "shell.execute_reply": "2024-04-30T08:57:29.138421Z" } }, "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": "2024-04-30T08:57:29.140034Z", "iopub.status.busy": "2024-04-30T08:57:29.139932Z", "iopub.status.idle": "2024-04-30T08:57:29.141765Z", "shell.execute_reply": "2024-04-30T08:57:29.141488Z" } }, "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": "2024-04-30T08:57:29.143133Z", "iopub.status.busy": "2024-04-30T08:57:29.143053Z", "iopub.status.idle": "2024-04-30T08:57:29.144803Z", "shell.execute_reply": "2024-04-30T08:57:29.144556Z" } }, "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": "2024-04-30T08:57:29.146260Z", "iopub.status.busy": "2024-04-30T08:57:29.146180Z", "iopub.status.idle": "2024-04-30T08:57:29.178534Z", "shell.execute_reply": "2024-04-30T08:57:29.178221Z" } }, "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 0.019448 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": "2024-04-30T08:57:29.180084Z", "iopub.status.busy": "2024-04-30T08:57:29.179961Z", "iopub.status.idle": "2024-04-30T08:57:29.238775Z", "shell.execute_reply": "2024-04-30T08:57:29.238478Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2024-04-30T08:57:29.240382Z", "iopub.status.busy": "2024-04-30T08:57:29.240271Z", "iopub.status.idle": "2024-04-30T08:57:29.242098Z", "shell.execute_reply": "2024-04-30T08:57:29.241865Z" } }, "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": "2024-04-30T08:57:29.243487Z", "iopub.status.busy": "2024-04-30T08:57:29.243364Z", "iopub.status.idle": "2024-04-30T08:57:29.277268Z", "shell.execute_reply": "2024-04-30T08:57:29.276866Z" } }, "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 0.019907 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": "2024-04-30T08:57:29.278806Z", "iopub.status.busy": "2024-04-30T08:57:29.278683Z", "iopub.status.idle": "2024-04-30T08:57:29.339658Z", "shell.execute_reply": "2024-04-30T08:57:29.339383Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2024-04-30T08:57:29.341180Z", "iopub.status.busy": "2024-04-30T08:57:29.341077Z", "iopub.status.idle": "2024-04-30T08:57:29.342776Z", "shell.execute_reply": "2024-04-30T08:57:29.342537Z" } }, "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": "2024-04-30T08:57:29.344225Z", "iopub.status.busy": "2024-04-30T08:57:29.344123Z", "iopub.status.idle": "2024-04-30T08:57:29.346353Z", "shell.execute_reply": "2024-04-30T08:57:29.346096Z" } }, "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": "2024-04-30T08:57:29.347763Z", "iopub.status.busy": "2024-04-30T08:57:29.347665Z", "iopub.status.idle": "2024-04-30T08:57:29.349223Z", "shell.execute_reply": "2024-04-30T08:57:29.348999Z" } }, "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": "2024-04-30T08:57:29.350536Z", "iopub.status.busy": "2024-04-30T08:57:29.350457Z", "iopub.status.idle": "2024-04-30T08:57:29.352195Z", "shell.execute_reply": "2024-04-30T08:57:29.351973Z" } }, "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": "2024-04-30T08:57:29.353559Z", "iopub.status.busy": "2024-04-30T08:57:29.353475Z", "iopub.status.idle": "2024-04-30T08:57:29.355190Z", "shell.execute_reply": "2024-04-30T08:57:29.354960Z" } }, "outputs": [], "source": [ "hfmIn['stopWhenAllAccepted_Unoriented']=hfmIn['tips_Unoriented']" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "execution": { "iopub.execute_input": "2024-04-30T08:57:29.356520Z", "iopub.status.busy": "2024-04-30T08:57:29.356443Z", "iopub.status.idle": "2024-04-30T08:57:33.131897Z", "shell.execute_reply": "2024-04-30T08:57:33.131562Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Fast marching solver completed in 3.66614 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 1.13 ms, sys: 3.16 ms, total: 4.29 ms\n", "Wall time: 3.77 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": "2024-04-30T08:57:33.133627Z", "iopub.status.busy": "2024-04-30T08:57:33.133506Z", "iopub.status.idle": "2024-04-30T08:57:33.194113Z", "shell.execute_reply": "2024-04-30T08:57:33.193840Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2024-04-30T08:57:33.195664Z", "iopub.status.busy": "2024-04-30T08:57:33.195547Z", "iopub.status.idle": "2024-04-30T08:57:33.258582Z", "shell.execute_reply": "2024-04-30T08:57:33.258327Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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 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": "2024-04-30T08:57:33.260171Z", "iopub.status.busy": "2024-04-30T08:57:33.260058Z", "iopub.status.idle": "2024-04-30T08:57:33.261846Z", "shell.execute_reply": "2024-04-30T08:57:33.261584Z" } }, "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": "2024-04-30T08:57:33.263296Z", "iopub.status.busy": "2024-04-30T08:57:33.263191Z", "iopub.status.idle": "2024-04-30T08:57:33.264807Z", "shell.execute_reply": "2024-04-30T08:57:33.264576Z" } }, "outputs": [], "source": [ "hfmIn['dual'] = 1" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "execution": { "iopub.execute_input": "2024-04-30T08:57:33.266080Z", "iopub.status.busy": "2024-04-30T08:57:33.266000Z", "iopub.status.idle": "2024-04-30T08:57:37.433167Z", "shell.execute_reply": "2024-04-30T08:57:37.432828Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Fast marching solver completed in 4.09643 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": "2024-04-30T08:57:37.434806Z", "iopub.status.busy": "2024-04-30T08:57:37.434694Z", "iopub.status.idle": "2024-04-30T08:57:37.494145Z", "shell.execute_reply": "2024-04-30T08:57:37.493885Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2024-04-30T08:57:37.495754Z", "iopub.status.busy": "2024-04-30T08:57:37.495629Z", "iopub.status.idle": "2024-04-30T08:57:37.560217Z", "shell.execute_reply": "2024-04-30T08:57:37.559913Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2024-04-30T08:57:37.561755Z", "iopub.status.busy": "2024-04-30T08:57:37.561652Z", "iopub.status.idle": "2024-04-30T08:57:37.563417Z", "shell.execute_reply": "2024-04-30T08:57:37.563143Z" } }, "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": "2024-04-30T08:57:37.564729Z", "iopub.status.busy": "2024-04-30T08:57:37.564648Z", "iopub.status.idle": "2024-04-30T08:57:37.566394Z", "shell.execute_reply": "2024-04-30T08:57:37.566159Z" } }, "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": "2024-04-30T08:57:37.567693Z", "iopub.status.busy": "2024-04-30T08:57:37.567601Z", "iopub.status.idle": "2024-04-30T08:57:37.569422Z", "shell.execute_reply": "2024-04-30T08:57:37.569184Z" } }, "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": "2024-04-30T08:57:37.570692Z", "iopub.status.busy": "2024-04-30T08:57:37.570609Z", "iopub.status.idle": "2024-04-30T08:57:40.147817Z", "shell.execute_reply": "2024-04-30T08:57:40.147467Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Fast marching solver completed in 2.43946 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 1.04 ms, sys: 4.38 ms, total: 5.42 ms\n", "Wall time: 2.57 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": "2024-04-30T08:57:40.149719Z", "iopub.status.busy": "2024-04-30T08:57:40.149582Z", "iopub.status.idle": "2024-04-30T08:57:40.209148Z", "shell.execute_reply": "2024-04-30T08:57:40.208883Z" } }, "outputs": [ { "data": { "image/png": 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X3d3dQbv9FwoRiaxfe+21uPXWWwEATz/9dMD7icVil78pivIbPHTeh6Iov8c4//zzkZWVhRdffBHp6emgaRrl5eUBBxB9gQmQ9vb24rvf/S5uuukmPPjgg9BoNNizZw+uu+46lxhGINfk6Rr8gRzN0HIP2BJC5n0WExMT8HHd4es8aZqGUCjEkSNHXMgIAGJjY30eNzExEYWFhSgsLMQ///lPFBYWYuPGjTjjjDMCOi5N07jxxhs9xlSys7PZmIivgHZWVhZaW1uxe/du/O9//8PWrVvxyCOP4Msvv8RNN92EH/zgB+y26enp7L8TEhJw6aWX4tJLL8X27duxatUqPProo3jllVc83jfmHJzv2/3334/vfe97885JJpN5v2l+rsffNueff/68z374wx96PQ7xkgXo/ozJ5fJ5Y5566qn42c9+ho6ODjQ0NGDz5s3o7OzEl19+icnJSaxZs4ZNFHrnnXfw85//HI899hgqKiqgVCrxyCOP4ODBgy7HdH+OvZ2fM+644w6Xv5VK5bzP3OHpt/P1e3p655zPzdu76gyappGWluYxxsZV5mqkERGiOfvss9mJe8uWLZEYIiRotVo0Nzfj+eefx+bNmwEAe/bsCelYBw4cmPd3SUkJAODw4cOw2+147LHHIBDMGY3vvPOOy/YSiQQOhyOksf2hsLAQEokEe/bswRVXXAEAsNlsOHz4cFC1SwDYVWKw57pq1So4HA6MjY2x9zoUxMfH46c//Sl+8YtfoLq6OqDjrl69Go2NjSgsLPT4fWlpKex2Ow4fPoz169cDAFpbW+fVhsjlclxwwQW44IILcMstt7DWyerVq6HRaPyeu0QiQUFBQUBWrPO5t7a2ej13BgcOHMBVV13l8rd7ws2BAwdw8sknAwDsdjuOHDnCLgB9IZCEjaVLl8Jut+PgwYOstanVatHW1obS0lKf+5aXlyMhIQG///3vsWLFCqhUKpxyyinYvn079Ho9TjnlFHbbr7/+GpWVldi6dSv7WSCr+KVLl+K1116DyWSCXC4HMP+dZeBcdsE1li5dOm+O2bdvH4qKiiAUCgN6FlevXo2RkRGIRCI22edYQ0QKNoVCIZqbm9Hc3Dxv1bmQiI+PR0JCAl544QV0dHTgs88+87uC8Ya9e/fiT3/6E9ra2vD000/j3Xffxc9+9jMAQEFBAex2O5588kl0dXXhtddew3PPPeeyf25uLgwGAz799FNMTExwmgIbExODm2++GXfddRc+/vhjNDU14frrr8fs7Cyuu+66oI6VnJwMuVyOjz/+GKOjo5iamgpov6KiIvzf//0frrrqKrz33nvo7u7GoUOH8PDDD2Pnzp1BncMtt9yC1tZW/POf/wzouL/61a+wf/9+3HLLLaipqUF7ezv+85//4Kc//SkAoLi4GGeffTauv/56HDx4EEeOHMFPfvITdkIC5jKm/va3v6GhoYH9DeVyOXJycjye44cffogf/ehH+PDDD9HW1obW1lY8+uij2LlzJy688MKAr/W3v/0tXn31VWzbtg2NjY1obm7G22+/jXvvvddlu3fffRd///vf0dbWht/97nf45ptv5pHI008/jX/9619oaWnBLbfcAr1ej2uvvTbgc/GFJUuW4MILL8T111+PPXv2oLa2Fj/60Y+QkZHh93opisLJJ5+M119/nc1gW758OaxWKz799FOXzMbCwkIcPnwYu3btQltbG+677z6X7ElvuOKKKyAQCHDdddehqakJO3fuxKOPPhrOJYeEO++8E59++ikefPBBtLW14ZVXXsFTTz2FX/ziFwACexbPOOMMVFRU4KKLLsKuXbvQ09ODffv24d57752X4bZYETFlAJVKBZVKFanDhwSBQIC33noLR44cQXl5OX7+85/jkUceCelYd955J44cOYJVq1bhwQcfxGOPPcZabytXrsTjjz+Ohx9+GOXl5XjjjTewfft2l/0rKytx00034bLLLkNSUhL+9Kc/hX19zvjjH/+ISy65BFdeeSVWr16Njo4O7Nq1C/Hx8UEdRyQS4S9/+Quef/55pKenBzVpvvTSS7jqqqtw5513ori4GBdccAEOHjyIrKysoM4hKSkJV155JbZt2waapv0ed/ny5fjyyy/R3t6OzZs3Y9WqVbjvvvvYeAhzbllZWTjllFPwve99j00dZRAXF4cXX3wRmzZtwvLly/Hpp5/igw8+QEJCgsdzXLp0KRQKBe68806sXLkSGzduxDvvvIO//vWvuPLKKwO+1i1btuDDDz/E7t27sW7dOmzcuBGPP/74PIK7//778dZbb2H58uV45ZVX8MYbb2Dp0qUu2/zxj3/Eww8/jBUrVuDrr7/G+++/H3C8NBC89NJLWLNmDc477zxUVFSAEIKdO3fOc6l6wne+8x04HA6WVCiKYi3Uk046id3upptuwve+9z1cdtll2LBhA7RarYt14w2xsbH44IMP0NTUhFWrVuE3v/kNHn744dAuNAysXr0a77zzDt566y2Ul5fjt7/9LR544AEXK8rfs0hRFHbu3ImTTz4Z1157LYqKinD55Zejp6eHjQktdlAkEGcmDxfk5ubi9ttvD9oNxYMHF6AoCv/617+8SgD19PQgLy8P1dXVi1qWhMeJA15UkwcPHjx4RBQ80fDgwYMHj4iCd53x4MGDB4+IgrdoePDgwYNHRMETDQ8ePHjwiCh4ouHBgwcPHhEFTzQ8ePDgwSOi4ImGx4KAz0HhwePEAd+ukkdUQY528jSZTBAKhRCJRBAKhRAKhSF1beTBg8fiB5/ezCNqoGkaNpsNDocDFosFwLfqtgKBACKRiCceHjyOQ/BEwyPiIITA4XDAbreDpmlQFAWr1QqBQAAy13wPhBD2OwA88fDgcRyBJxoeEQUhhLVigDmdLuYzT8ThTjzMPmazGQqFAnK5HEKhEAKBgCceHjyOEfAxGh4RA03TsFqtoGnahRiYtY2nplAURbGfCYVClnRaWlqQlpaG5ORk1tUmFotZi4cnHh48Fi94ouHBORhXmc1mAyHEIwl4IhlPYIiHoig2eYAhH7PZzG7DfMcTDw8eiw880fDgFIxb7PDhw0hNTUV6ejonEz5zDG8WD03TLPEIBIJ5MR6eeHjwWDjwRMODEzCTPWPF0DQdsNUSzBju8EY8DocDDocDZrOZJx4ePBYYPNHwCBtMbYzdbgfw7eTPZZ5JoKTAjC0QCNhzcyYei8XiEuNhXG7OhMWDBw9uwRMNj7DgXBvjPMFzTTRAaGoCvojHbrfPi/8wFg9PPDx4cAeeaHiEBGdXmXtWGeCbaEKZwLma9L0Rj91uZ1OumUy5+Ph4toaH2Z4HDx7BgycaHkHDvTbGU7zDn0UTCnFEouTLE/FotVpotVqUlZW5WDyMq40nHh48ggNPNDyCgrOrzFdAfaFiNFyM4xzDcbd4AM+qBTzx8ODhHTzR8AgIgdTGOGOxxGjChTdXm81mg9VqZb/niYcHD+/giYaHXwTiKnNHJCyaxaCW5Il4GCuPsXjciYfJauPB40QFTzQ8fIKxYjwF/H3hWHWdBQsmfsPAmXg8WTzOWW08eJwo4ImGh0e418YEW+B4vLjOgkUgxCMQCOYlF/DEw+N4Bk80PObBOW0ZcK2+DxQnikXjD4EQj8lkgkwmQ0xMDE88PI5L8ETDg4W/2phgcKJaNP7gTDzM9XR1dSEuLo7VheN78fA43sATDQ8AoQX8feFYt2iiQWrO18QkDQDftldwlsvhiYfHsQyeaHgEXBsTLHiLJjg4i4MCrk3gLBYLrFYrAL77KI9jDzzRnMBwb7HMJckIBALWOuICx/tE6un6vClTM8TjTSCUV6bmsdjAE80JCq5dZd7G8IZQXGvHq0UT6HX5Ih7nJnB891Eeiw080ZyACLU2JhgIBIJjOkYTTYTatydQ4uG7j/JYaPBEcwLBuTYmEBkZLsZbzMc73hBI91GKokDTNMRiMWQyGU88PKICnmhOENA0DYvFgsOHD2PlypUQi8URnVx8WTQzMzNoa2uDTCaDRqNBXFwcm3HlDcfzRMh1J1IG3oins7MTFEUhLy+P7z7KIyrgieY4h3NtjMPhgE6nAxCdidudaAghGBwcRHNzM9LS0kDTNNrb22E2m6FUKhEfHw+NRgOVSuVS5OjteDyCgzvxiEQivvsoj6iAJ5rjGO4Bf2byZir+Iwl3i8Zut6OpqQkTExNYtWoVVCoVu5I3m83Q6/XQ6/VobGyE3W6HWq1GfHw84uPjoVQqj+uJLlIWjb/x+O6jPKIFnmiOU/iqjYmWZcCMMzMzg5qaGkilUlRWVkIqlbJKxwAgk8mQlpaGtLQ0EEIwOzvLEk9fXx8IIWxMwWAwICYmhp/owoA3Yguk+6i35AIePHyBJ5rjDP5qYwQCQVQsGiZ9ub+/Hy0tLcjNzUVhYWFAnTdjYmIQExODzMxMEEJgMBjQ1tYGs9mMI0eOQCAQsNZOfHw85HL5MU88C2HR+EMwxMN3H+XhCzzRHEfgosUyV6BpGlNTU5icnMTq1auRkJAQ0nEoioJSqYRSqYRKpUJBQQGmp6eh1+sxOjqKtrY2SCQSNr4THx8PqVTK8dVEFtGOPYWbTu2NeAC++ygPz+CJ5jgBo4/lrzYmGhbNzMwMenp6QAjBSSed5HXiD2bCY7YTCASIi4tDXFwc8vLy4HA4MDU1BZ1Oh/7+fjQ1NUGhULhYPGKxmLNrixQWo0XjD/66jwI88fCYA080xzgWQ4tl53MZGBhAS0sLNBoNHA4HZ9YFU//hDqFQCI1GA41GAwCw2WyYnJyEXq9Hd3c3Ghoa2Iy2+Ph4xMXFecxoW0gcKxaNP3jrPmo2m3H48GGsWbOGVSzgu4+eWOCJ5hhGKDIykbJo7HY7GhsbodPpsHr1aphMJgwPD3M6RiATslgsRlJSEpKSkgAAFouFTSxobW2FxWKBSqViiUetVi+KFfaxaNH4AxO/YWq4mFopvvvoiQeeaI5BONfGOKeqBoJIWDTT09OoqamBXC5ns8oGBwc5JbRQJx+pVIrU1FSkpqYCAEwmE0s8Q0NDsNvtiIuLc0mljjaOF4vGG5jngCkOdT4PvvvoiQGeaI4xuLdYDramgUuLhskqa21tRX5+PvLz89lzicTkwMWELJfLIZfLkZ6eDkIIjEYjSzy9vb0A5siJ+U6hUERt9R8tLBTReEpMCaTtNd8S4dgHTzTHENxbLIfi8uHKorHb7WhoaIBer8eaNWvYGInzOIvBovF3zNjYWMTGxiIrKws0TcNgMKCnpwdTU1M4dOgQRCLRvFRqrnG8WzSB6uo5Ew9zT/gmcMcHeKI5BsBli2UuLBpPrjJ3LFaLxhcEAgFUKhUSEhJACMGyZcswNTUFvV6P4eFhtLa2QiqVuqRSSyQSTsY+ni2aUMbz1AQO4InnWAVPNIsci6nFsi9XGZfjeDtetOFcGArMWXFMKnVvby8aGxsRExPjYvH4Ewf1hOPdomEWR+HAF/Hw3UcXP3iiWcSIRIvlUC0am82GxsZGr64yd/gimlC1shZaVFMkEiEhIYEtPrXZbGx8p7OzEyaTySWVWq1WB5xKvdgtjMU2njPxeOo+ajQa0d/fj8LCQr776CIATzSLEMHWxgSDUGInU1NTqK2thUKhwKZNmwJyFx0PFo0/iMViJCcnIzk5GQBcxEGbm5thtVpZcVCNRgOlUulxZc9bNOHDXZnaarViaGgIBQUFfPfRRQCeaBYZIt1iOZjOl4QQ9PX1oa2tDQUFBcjLy1vQNOqFtmj8wV0c1DmVemBgADRNu6RSx8bGLsgktxBEE+3rZMjNk8XDE0/0wRPNIkI0WiwHSgA2mw0NDQ2YnJzE2rVr2TgF1+MEc7xjCRRFQaFQQKFQICMjgxUHZYinu7ubldOx2WywWCxRI4CFyjqLJtytKHeLh297HV3wRLMI4F4bE8mHO5AYzdTUFGpqahATExOwq8wdgag0B4vFbtH4grM4aHZ2NmiaxszMDPR6PbRaLVpaWtDV1eWSWCCTySJyLieSReMN3oiHSS4wm81891EOwRPNAsO9NibUQHmg8EUA4bjKghkn1OMdTxAIBFCr1VCr1RgcHERpaSkAQK/XY3BwEC0tLWyra0ajjatU6hPFoglG0879vXNuAufefZQnnuDBE80CgVk9DQ0NYWxsDGVlZVF5YL1ZNIyrbGpqKiRXmTv8EU0oJHQsWzT+IBQKoVar2Ww+u93uIg5qNBoRGxvrIg4aSio1wFs0gcCbMrU78TCuNr7ttW/wRLMAcA7422w2GAyGqD2cnrLOGFdZbGwsKisrOVk58xZN4PB0n0QiERITE5GYmAgAsFqtbHynvb0dZrPZRRxUpVIFvII/USwaLsf0RjzuTeAYxXKpVMq3vXYCTzRRhnttDKNuGy04Z50RQtDb24v29nYUFhYiNzeX0zTqEy3rLBz4u+8SiQQpKSlISUkB4Fkc1DmVOjY21utEy1s04cMb8VRXVyMnJweJiYmsxcN3H+WJJmrw1mI5Wq2VGTAWjc1mQ319PaanpzlxlXkah7doAkMo98ldHHR2dpYlnr6+PhBCXBILYmJi2HvIWzTcgyEeQggkEgmbYOBu8ZyoTeB4ookCfNXGLIRFYzabsXfvXiiVSs5cZe6IBNEczxZNOKAoCjExMYiJiUFmZiYIIS4ZbZ2dnRAKhSzpRPN5A45Pi8YbHA6Hi8uM7z46B55oIgx/tTHRtGgIIZienoZer0dRURGnrjJ3+MtuGx0dhd1uR0JCQsBdOI9nouHyd6AoCiqVCiqVCjk5OaBpmv3dR0ZG4HA4UFtbi4SEBJZ8uOqE6gkngkXDgHGJu8Mf8RzvFg9PNBGCc22MLxmZaBGN1WpFQ0MDpqenkZiYiLy8vIiO541o7HY7mpqaMDExAalUipaWFlaYUqPReM2m4l1noYMpDI2Li0NeXh4+//xz5OfnY3Z2Fv39/WhqaoJCoXBJpRaLxZyNfyJZNIGmVXsiHsalbbPZ2G0Y4pmenoZarY7ogiCS4IkmAqBpGna7PSAZmWgQzeTkJGpqaqBSqZCVlQWLxRLR8QDPRGMwGFBTUwOxWIwNGzZAKBTC4XB4zabSaDRQqVQuL+PximhPxPHx8UhPTwcwl9rOpFJ3dnZidnbWRRw0Li4uqJoUd5woFg1DFqH2ifLVBO6iiy7CDTfcgGuuuYbDM44eeKLhEKG0WI4k0RBC0NPTg46ODixZsgQ5OTno7u5mJTciCffA8/DwMBoaGpCdnY0lS5awZOwuTOmcTVVfX8/qg4lEIjgcjqgHsqOBhRbVFIvFSEpKQlJSEgDAYrGwv0FrayssFgtUKhVr8TiTfyBYiEl/IcZkFpbhkDIDd+KZnZ1FbGxs2MddKPBEwxHcA/6B5s8zRMP1BGq1WlFfX4+ZmRmsW7cOcXFx7HlFw1XHXIvD4UB7ezsGBwexYsUKllC8Ta6eWi3rdDoMDw/DaDRi7969Lo3HIinTEk1EizyZ6/I1nlQqRWpqKlJTU1ktMJ1Ox4qDOhwOF3FQpVLp83gLsTigaTrkgtZwxgRC63zrC8x7EBMTw+lxowmeaDhAOH1jnN1CXL2Mer0etbW1UKlU2LRpk4u/PRj15nDAXMuhQ4dACEFlZSUUCkXQx2BaLUskEgwODiI/P99FpkUul7OkE2rjsYVGNEktEKJxBkVRkMvlyMjIYMVBjUYja/H09PSAoiiXVGqFQuFy/IWY9B0OR0SyKf2NCXBPNMCc21mpVHJ+3Gjh2HsrFxG81cYEA+ah5MLU9+Qqcz+faFk0Op0OABAbG4ulS5dy4k4AwE5m+fn5bGxBp9O5NB5jiEetVh8zWTuLyaLxBWfyz8rKchEHHR8fR0dHB0QiEfs7aTSaEyYZgEkEiMS1MhJExyp4ogkRXPWNcSaacMC4ygwGA9avXw+1Wu11vEiuoAkh6OjoQE9PDwCgpKTEK8kEcx6e7q17bIFpPKbT6dhqeecJz7locTFhMVs0/uAsDpqbmwuHw8GmUg8NDaG1tRUCgQAKhYLNLoyGpbFQMZpIjMkU5PKusxMMNE3DarVy0jeGC6JhXGVqtRqVlZU+U1MjmXxgtVpRW1sLk8mEdevW4cCBAz5raYKFv33cG48x8R3n/i+MtaPRaCIW3wkFx4pF4w/OhaH5+fmw2+2ora0FAPT29qKxsRExMTEuqdSRcKstFNFwZbk7w2w2w+Fw8K6zEwWRaLHMJA2EMvkTQtDd3Y3Ozk4UFRUhOzvb7/lEqsLeney4TkkO9j47u3iY/i/T09NsYkFrayvkcrlL/Q6XtSPB4Fi2aPxBJBJBIpEgLi4OWVlZsFqtbCo1k87unEqtVqs5mawX0nXGNYxGIwDwrrMTAVy5yjxBIBCwxw0UVqsVdXV1MBqNPl1l7uA6RuMszOkcF3IW7uRyrFDhXLQIzBWOMgFt5/gOI9FyImedRWJMZjyJROKSzs64O/V6PZqbm2Gz2VxSqZVKZUiEEalJ3xci5TozGo0QCASQy+WcHzta4InGD0KpjQkWwbqz9Ho9ampqEBcX59dV5mksriZRu93ut93zQlk0/iASiebVjjButvHxcTgcDtTU1LATXmxsbEQm54WooYk2fFkX7u5Ok8nE/g79/f1sHRVj8QT6OxxPrjMmtXkxxhcDBU80PuDeYjlSvSUCJZpQXGXu4MqimZmZQXV1NeRyuUdhTmc1W64QyUlSKpWyE97AwABGRkaQkJAAnU7Hxnec63e4Xl1G06KJdo+UQLPOKIqCQqGAQqFgxUENBgNr8Tj/Dsx/crnc47GPpyJRg8HAE83xCvcWy5F8aANRcA7VVeYOLiyawcFBNDU1ITc3F4WFhV5fAC6JJpovGaMxlZWVxabwMplUTHzHuc1yfHx8yPGdhVYFiNaYocqyKJVKKJVKNs42MzMDnU6H0dFRtLW1QSKRuGQWMlpgx6NFcyyDJxo3OLvKuMgqCwT+LBqdTofa2lrEx8cH7SoLdixfcDgcaG5uxujoKFauXMm6nbzBF9GEck8XSuvMXZSSabPMWDsNDQ3z6neCnXCibdFEE1zV0TinUufl5cHhcGBqaoot4G1uboZCoUB8fDxb2xZNRIrcjEbjvCLYYw080TiBkdtgHphokAzgffInhKCrqwtdXV0oLi5GVlYWJ1luoUzYs7OzqKmpAUVRqKysDMh1dKxaNP7g3maZ0QbT6XRoampiu11qNBq226W38+ctmtAhFArZewy4ioPa7Xa2PTlj7ajV6ogqFETSojmWM84AnmhYMFbMwYMHkZubi7S0tKiN7YloLBYL6urqYDKZsGHDBqhUqoiN5Q9jY2Ooq6tDRkYGiouLA540uCaaxare7K4NNjs7ywa0e3p6XOIKGo3GI0nzFk34cC7gHRoawsqVK9msNmdxUOdUai4JMFKZbkyM5ljGCU807rUxjHR9NOE++Tu7ylatWsXpKiyYCZumabS3t6Ovrw/l5eVBky/XrrNjAc7dLp0lWnQ6HUZGRtDW1gapVMquxKNdhHc8WTS+xqNpGjKZDHFxcUhNTQXgqgzOKEeo1Wp2AeBPHNQfHA5HRGqxeIvmGIen2phot1ZmxmVqN7h2lbkj0Kwzs9mM2tpa2Gw2VFRUhPSgnygWjS+4xxWY+A6TRcUU4/X09CAhIYGzgkVvOJ4tGgbMc+JObu7K4M6WZ19fHwC4pFIHm+nlcDgiojZxrMvPACcw0XhrsbxQFo3VasXhw4c5d5V5GsvfhK3T6VBTU4PExESsWbMmZIvKHzkEO/lEi2giOSm6x3dmZ2dx4MABWK1WtmCRy1W2O04EiyaQTFF3y5MQwoqDarVadHZ2uoiDBpLSHknXGW/RHGNwr41xD/hHq7WyM2w2G7q6upCUlMS5q8wdDNF4mnCc63S4sqiOx2QALsG4WoqLiyEUCjE7O8smFvT29rIS/M71O+HcixPBogmlJIGiKKhUKqhUKuTk5ICmaTajjUlpl0qlLsTj3lY5ksoAnoqhjyWcUETjXhvjqXAtmhYNIQSdnZ2YnJxEUlISVqxYEfEX0r3zJQObzcY2SgunTscZXCtFH4uus0DBPIvMKjszM9Nj3Qgz2THEE6wS8olg0Tg3HwwVzgkcwJwKBkM8/f39aGpqYtWoGXHQSGWdmUwmZGVlcX7caOKEIJpgamNC0R0LBc5ZZUlJSZy7SLzBU/+bqakpNhW0oqKCUxl33qLxDV/3x1PdCFO/wyghx8bGuigh+5voThSLhuvSBJFIhISEBCQkJACYW5g5a+XNzs5CIBBgbGwMEomE01ibwWAIumngYsNxTzTBimEKhULYbLaInpNWq0VdXR00Gg1WrVqFtra2qLnrnC0aQggGBgbQ0tKCgoIC5OXlcfpy8hZN4AjkvguFQpfJzmq1ssHslpYWWK1Wl/odT4uXaBMN85xFO0YT6fHEYrGLOKjFYsGhQ4fYombmt2AsHpVKFfI58VlnixyhtFgWCoUwm80ROR/npmAlJSXIzMwERVFRs6KAby0am82G5uZmTExMYPXq1ezkxTV4i8Y3wrk/EonEpX7HWZCSyaJyr99ZCKIBIivh5I6FkJ+RSqUQCATIy8uDWq12SaUeGBgIWRwU4Ilm0SKcFsuRmvQtFgtqa2thsViwceNGl/oJgUDAJidEGsx9OHLkCCQSCSorKyPWAMzXy67VajExMcG6fAKZGE50i8bf/u6ClEx8Z2xsDO3t7ZBIJJDL5bDb7bBarVHpdLkQbQkWgmgAuCxomd8iIyPDYxM+JsmD+c+XxAyf3rwIEW7fmEjU0UxMTKCurg6JiYlYvXr1vKyyaGa6jY6OAphb6S5dujTiL6T7dTnXCmk0GgwPD8NutyMuLo51+XiqX+AtmuDgnEXFtFienJzEwMAALBYL9uzZ4yLPEkh8JxREQ5TW05jR7kXja1xPTfiYVOrx8XF0dHRALBa7EA+z+GNI6ljurgkcZ0TjrTYmGHCZdebsKistLUVGRobHc4pGkShN02htbcXg4CAoikJubm7EX373a7XZbKirq4PBYMD69eshlUpBURRbOKfT6dDV1QWRSMSSjkajYVfevEUTOpj4DrMIKy8vZ9OoGXkWJr4TTsMxd5woFg3jRQlkXOckD2YR4CwO2tLSAplMhrq6OkilUtA0zZnr7JlnnsEjjzyC4eFhlJWVYceOHdi8ebPf/fbu3YtTTjkF5eXlqKmpCXrc44JonGtjwm2xzBXRmM1m1NXVeXSVuYPrrpfuMJlMqKmpAU3TqKysxL59+6IyaTtfF9O/JiYmBpWVlRAKhbBarR4lW6ampqDT6dg00tjYWCiVStA0HbEU0oXCQolqSiQSpKSkICUlhY3vMMTjXCXPEE+o6sHOpQTRwkL1ogEQ0rPpLg7KqEd8+umn+Mc//oHe3l5ce+21+O53v4vTTz8dJ598ckgWzttvv43bb78dzzzzDDZt2oTnn38e55xzDpqampCdne11v6mpKVx11VU4/fTTWY9IsDjmiYamadjtds5aLHPhxvLnKnNHJC2aiYkJ1NbWIiUlBaWlpRAKhVGTc2F+h+HhYTQ0NLj0r/F2vc71CwUFBbBardDr9RgdHQVN0/j666/9utmONUQ7OO/JLekeU2DiO86uHYZ0nK1Mf2BSm3miCRyMesS9996LX//619BoNNi6dSsaGxtx++2346yzzsLTTz8d9HEff/xxXHfddfjJT34CANixYwd27dqFZ599Ftu3b/e634033ogrrrgCQqEQ//73v0O7ppD2WgSIVIvlcCwamqbR0dGB3t5elJaWIjMzM6D9IhGjYYpBu7u7sXTpUmRkZER0PG8Y6u8FGa7DqtWnIjF7SdD7Myvv2NhY6HQ6rFu3LiA3W7iIlqWxGNsEeIrvuFuZMTExLvU73hZT0U5tBhau6RnAfSxqdnYWNE3j8ssvZ1OprVZr0MexWq04cuQI7r77bpfPzzrrLOzbt8/rfi+99BI6Ozvx+uuv4/e//33Q4zI4Jokmki2WQ806Y0QorVarX1eZpzG5nPitVitqa2thMpk8nks0LBqLxQKMNmJVxxNQWEZB2uWwff8VkLxTwzpuIG42hnQiLVDJFRbaovEHd9eO1WplC0fb2trY+I6zPptzYfBCFIguBNFEon8VI7rqHKMJZTE1MTEBh8OBlJQUl89TUlIwMjLicZ/29nbcfffd+Prrr8OWxTrmiCaU2phgEIoba3x8HPX19UhKSgpJhJJLopmcnERNTQ3UajUqKys9nkukLRq9Xo+mb77AprbtkNqmQECBspsg/viXsN50EAjhN/P0O3tzs+l0OlagcrG72RajReMPEonEpVjRuX6nv78fhBD2d5FIJCcE0UQq081oNEIoFM7TVQsVgRbwOhwOXHHFFbj//vtRVFQU9rjHDNGEUxsTDIJxnTm7ytzdU8GAi4mfEILe3l60t7djyZIlyMnJ8Xp/IpV8QAhBX18f2lpbcerIa5DapqBT50Pxo/cgfX4jqMkeUBMtIEmlQR87ECvMPcAdaDbbQmOxWzT+IJfLkZGRwcZ3DAYDdDodJiYmMDk5CUIImpqaWFcbV5OmNyykRcM1jEYjYmJiwj52YmIihELhPOtlbGxsnpUDzCXvHD58GNXV1bj11lsBgG1lIhKJ8Mknn+C0004LePxjgmjCrY0JBs69YXyNwUW/FvcxQ4XdbkdDQwP0ej3Wrl3rV+mVa2kYYO5Fa2xshFarxabEKcQe2YMD8hj8NEGApYe24W/pqyDq2w9qpD4kogkWgWazLbSb7Vi0aHyBoigolUoolUrk5ORAq9WiubkZUql0nhglU7/DtVr58WTRcNUiQCKRYM2aNdi9ezcuvvhi9vPdu3fjwgsvnLe9SqVCfX29y2fPPPMMPvvsM/zjH/9AXl5eUOMveqKhaRpWqzWiVowzmIfF14MzPj6Ouro6JCcno7S0NOwXJRyimZmZQU1NDWQyGTZt2hTQKp1ri2Z2dhbV1dUQiUSo2LgRyjfPBQHwh9RMmIkJVeNVaI0pQxkAanY8pDHCjSsF42Zj0uSjhWPdovEHkUiEgoICFBQUuIhRtre3w2w2Q6VSsdZOOJpgDI4ni4ZLVYA77rgDV155JdauXYuKigq88MIL6Ovrw0033QQAuOeeezA4OIhXX30VAoEA5eXlLvsnJydDJpPN+zwQLFqicW+xHA2SAb4lGk/1Gs6tjcNxlbkjVKIZHBxEU1OTS9pwoONxNZGOj4+jtrYWGRkZKC4uhqjzEwhGG1Afo0IPTOx2/QIKZQBgMYQ1HlcTpS83m06nA4CouHuON4vG03jOE7C7GKVz/Y6zJhhjaYZSv0PTdER7OnlCpOq7jEZjyDVM7rjsssug1WrxwAMPYHh4GOXl5di5cydycnIAzJUhMDVUXGNREg0hhH34MjIyokYywLfpie5xGi5dZZ7GDIZoHA4HWlpaMDIygpUrVyIpKSmo8bjIOnNOny4rK0N6ejoAQHj4bwCAf+WsBEw97PbTtGXuH8LQ4iKRdvc4u9kGBwcxODjo4u6JpJvteLZo/GWdubdXNhgM87pcOtfvBEL4Docj6vG3SFlRXHfX3Lp1K7Zu3erxu5dfftnnvtu2bcO2bdtCGndREY1zbcz09DT6+/uj3vCHUVN2nvgZV5lz0SOXCCalenZ2FjU1NaAoCpWVlX7by3obLxzXGSMlYzQaXdOnJ3sh6PkSZorCR7YxAIBSpMSMfQYWx1GiEYU3AURjoqQoCmKx2MXdw1g6zu2WExISws5mO9EsGl9wju8wmmBMXG1wcBDNzc1QKBQs4XuL7yyU6yxSFs2xLqgJLCKica+NEYlEUZPOdweTeebsKnNetXMNX+2VnTE2Noa6ujqkp6ejpKQk5JcpnBiNs5RMRUUF24oYAIS1bwIAPslZBYN9AoniROTF5OHQ5CEIrDMAABKTHPI5LxTEYrFXN1t3dzeEQiG74g501e2ME9mi8QX3Lpc2m42t3+no6IDJZIJKpWLvPRPfOd6I5lhvEQAsEqJxb7EsEAggEomiJp3vDoFAgNnZWTQ1NcFut3PuKnMH84B6mwScCa+8vBxpaWlhjRdqjGZoaAiNjY3Iy8tDQUGB67kSAmHjuwCA92IVgBHYHL8ZraZWAECcaS42Q5TfnnsoE9BCC2v6ymYbGBhAc3MzWzUfSVXkULGYLRp/EIvFSEpKYl3FZrOZrd+pr69n4zsmkwmxsbFRvdZIkRtv0XAAXy2WF9KiAYD6+nqkpaVFxFXmDue4kPvDarFYUFNTw2lsKFiLhlF+Hhoa8hoTokbrQU31o1seiyPGPggoATbHb0bVTBUAQG2cyzYjKtcEikAng8VWaMnAPZuNyarSarVoaWlh3WwM8bg3vFoI11m0Jfsj9dvJZDKkp6ez8R2m58vU1BR6e3sxNDTEWjvO0vuRAG/R+MaCEY2/2hjGfRXtVUl7ezssFgtyc3NRUlISlXGd5TqcodPpUFtbC41GE5LigK/xAp3gmCQIxrLz1rtc0LoTAPDv9GKAHkdFagUSpYmYtk8DAOKsZhCRHIjLYfcJ5bddaIvGH5yzqhg3G5PY0tPTM8/NBhzfrrNoEZtzz5exsTFkZmZCKpW6SO/L5XKWdOLj4znNTItUppvBYEBiYiLnx402FoRoCCGwWq0+ZWSEQmFAcQuuYDKZUFtbC4fDgdjYWKjV6oiPyYC5PoZoCCHo7u5GZ2cniouLkZWVxek9CNSi0ev1qKmpQUJCAsrKynyu2ARt/wUB8JHQAtDA+XnnY3Z6FnqbHgCQZbeBJJcCVOhxpWMNzm62zMxM0DSN6elpl+C2TCaD3W6HVquNipvtWIrRhDOmSCRiCSU/P5+N7+j1enR2dsJkMkGpVLLEo1arwyLESGW6zc7O8hZNqGAyu3w99MwLZ7fbI56qODY2hvr6eqSmpqKkpARHjhyJmrox4JrpZrPZUF9fj+npaaxfvz4ihOfPomGlZNraUFRUhOzsbN+Tha4LgolW1MsUGLZNQyaU4aT0k7BrbBcAIFUgh5omcCSXhX3ui92i8QWBQIC4uDjExcWxk19/fz/6+/sDcrNxgYUgmsWg3uwpvsNYmkNDQ7Db7SwxhZJJyGed+caCuc78KS47F05GCjRNo62tDf39/S5Bdi67bAYKgUCA6elptLW1ITY2FpWVlREjWF8Wjd1uR2NjI3Q6XUByNgAg6PkKALArJReAAZvTN0MmkqHf3A8AWGKfG4vOXB/WOR9vYNr3joyMoKKighWnZNxsAoHARZuNi6LR4z2dGgiM3GQyGdLS0pCWlsbGdxji6e7uZu89Qzz+4juRTAbgLZoIgqKoiE747l0nnVcNobYKCBWMi7C+vh4FBQXIz8+P6MvpzaIxGo2orq6GWCxGZWVlwBOboPdrEACfiAngAM7IPgMAcHDyIABg2bQWAEAyN4R97seyReMNzKKLaT7mzc3GRTbb8RqjcUawk75zfIfJJGTu/fDwMFpbWyGXy1302ZzT+oHIWTS86ywKiBTRjI6OoqGhgXWVuT8gkex46Q5GjNLhcKCkpAS5ubkRH9OTRcPU6DBSMgG/qISGoHcvGiUSDDuMkAll2JS2CR2THWg2NEMAChdPT4EoEkE0+S7nEOw5H4/wRpye3GzMiru1tRUWi8VFqiVQN9tCZJ0tdqJxh/O9B75trazT6dDZ2YnZ2VmX+h21Wh3RNgG86ywMBPJScF1Lw6TpDg4OoqyszGs9SrRcZ84WhEwmC6kPeChwttgIIejo6EBPT09IRanUWCMokw4fJ875vhm32Tvt7wAANiEeqY5eOApOn9eH5liso4kEArkP7tlsobrZeIsmeDCtlZnsL4vFwtbvNDY2wm63g6IoaLVayOVyzmJrjEsvWvNCJHHCWDSzs7Oora0FIQQVFRU+VwnRcJ2NjIygvr4e2dnZWLJkCfbt2xc1K4qxaKxWK+rq6jA7Oxt0V1AGgt69IAB2K5UA7Dgj+wzMWGews2cu3fn/JucEKumCM+ftG8ykd6JZNL7gz83W0tIyT6rFX1FwpBBtgUumNi+S5CaVSl3iO7Ozszhy5AiMRiOqqqrY2iomxhOKTBQDPkYTBXBFNKOjo6ivr0d6ejqKi4v9mrhCoRA2my3scT3B2apavnw523Qo0l0vnSEQCGC1WrF//34olcp5UjLBgBo6gi6xCEOwQyKQYFPaJrzZ9ibMDjOypamo1H8DIhCBzjuF3YcQgq6uLnR2diI2NhYJCQlISEiAUqn02ayN2fd4Q7gTfzButkg9194Q7fRm5vmIlhXFpLALBAIUFRUhNjYW09PT0Ov1bHxHJpO51O8E865x2SZgIbGoXWdCoTAs15nzpF5eXo7U1NSA9hMKhTCbzSGP6w1msxk1NTVwOByorKx0KX6MJtHMzMxgYmIChYWFYSceCIaqsO/oim1V0iqYHWa80vwKAOD/kAQKgCP3FEA2l6Ztt9tRX1+PqakpLFu2jJUR6e+fy1DTaDSsWKUn98/xRjSRuB5fbrapqSkYDAZMTU1xms3mDQsREwKiRzQMmJpAZ9LPy8tzie90d3ejoaFhXv2Ot4UvTdO8RRMNhCNDw6gcA5g3qftDJFxnExMTqK2t9aoAHQ13HU3TaGlpwdjYGNRqNQoKCsI7oHEM1FQ/jiTP+a43pG7Ay00vw2AzoChuCb7XMdehj14619FvdnYWVVVVkEgkqKioYA+TkZEBmqYxMzMDrVbLZlk5S/PHxcVFbWUcbTddpFsgOLvZqqqqoFarQVGUXzcbF4i2RbMQRMO46zzdN0/xHcbaZLQUvdVOGY1GAOBjNJFGqK6zkZERNDQ0hKxyzGXWmXPfltLSUmRmZnrcLtIWDWNN0TSNvLw8TE9Ph31MwVA1AKBRHgOAQCPT4Ln65wAAt2aeA1n1p6AFEtBF32VbLTDuS4qiYLVavz2WQAC1Wg21Ws26f5hVOPNCEkIwPDyM1NRUyOXy4yJusxAWmkKhQFpamlc3GzPxJSQkhB3YjrZFw8wX0XbXBXqdUqkUqampSE1N9ShRxMR3mpub2caKXLjOnnnmGTzyyCMYHh5GWVkZduzYgc2bN3vc9r333sOzzz6LmpoaWCwWlJWVYdu2bdiyZUvI4x9XrjNmxT40NBSUq8wdXFkXwQTbI5lSrdPpUFNTg6SkJCxduhRDQ0OYmpoK+7jUUBV0AgFGBHOT5QfdH8BKW7E2eS029xwBAEwkb4J2cAydnZ0uXUn9TbDu0vxGoxGHDh2CTqdDb28vpFIp62LjWrcq2lhIrTNfbrbe3t6gCxfdsRAWTTQbJQLfkluwlqAniaKZmRnodDq8/PLL2L9/PxQKBX72s5/hzDPPxGmnnYaEhISgz+/tt9/G7bffjmeeeQabNm3C888/j3POOQdNTU3Izs6et/1XX32FM888Ew899BDi4uLw0ksv4fzzz8fBgwexatWqoMcHFrlFE4zrLBxXmTu4SEKYnJxETU0N1Gp1QMH2cHrEeAMhBL29vWhvb3fRTONqLMFwDZql36oXHBk7ApFAhF+W3QzhqxcAADo1p2K6ry8sOR2moI6iKJSWlkImk7GrQEa3istVeDSxmNSbPWWzMe7MoaEhtLa2sm42JrDtb3I9Uep2gPDddc5W/X//+1/s27cPP/zhDxETE4MHH3wQl19+Od5880384Ac/COq4jz/+OK677jr85Cc/AQDs2LEDu3btwrPPPovt27fP237Hjh0ufz/00EN4//338cEHHxyfRCMUCl3cK97AuMqCLjb0MW6oE7GzTtiSJUuQk5MT0KTHtevMWUpm3bp1bPEZMxYXExw10YIONwL9cemPsaT3ACi7CTOKbOgUhdhcUcFJwJm5j0Kh0MXvzazCtVqtyyqcsXii3dY3WCxW9WZP7ky9Xg+9Xo+2tjYXN5tGo/GYNbhQFk004XA4WL1CLkEIgUKhwOOPPw6KojAyMhK0RWm1WnHkyBHcfffdLp+fddZZ2LdvX0DHYBYcjNp4KFj0rjNfloXD4WD7pITjKgt2XG+w2+1oaGiAXq8PWCfMeUyuiMaflAwnpGaaBDUzjI7Ebx++ZQnLcF3JlaCe3QgAGMm+AEqVitOsJk8EKZfLkZGRwSYVTE9PQ6vVor+/H01NTWyWD1PFHe2JyBcibdFMmWz4tHUCtQMzSFFJsEwc+sTv7GYD4BJfYAjeuQWCTCY7YSyaSMnPOIt7hjK/TUxMwOFwsGUUDFJSUjAyMhLQMR577DEYjcagLSlnLHqLxluMxmg0ora2FhRFhe0qc0coE/HMzAxqamogk8mC0gkLZ0xPYKRkMjMzUVRU5PGloygq7AmOmmgBAfBv5beplw9sfADTX/0VMcYR2OWJEK+9EhgaC2sclzEDtAyZ9NKCggJYrVY25tDQ0ACaptnJMCEhIaxiOq4QiRV/18Qsnt/Ti0+aJ2Cnv/2tt+QIsbSIm/EYN5tz1qC7PpjNZsPMzAwSEhKi0mk0UpO+L3hqWMgFuJSfcX/GArVs33zzTWzbtg3vv/8+u8AIBQtKNP4mPG8xmuHhYTQ2NnLmKnNHsBYN0+I4NzcXhYWFIU0c4SYgOEvJ+Gv3zAWpUeMteEn9bXLD9Uuvh65jHKl1f5/7oOIWQCTz+fuGQnjBbi+RSFyyfAwGA7RaLcbGxtDe3g6ZTOaSVBDtSYpri6Zfb8JTX/bgo8ZxMEcuSo7BhNEKndEGnTkyygDObra8vDy2/0tzczOGh4fR19fn183GBRbKdRaJ58ZgMIRdQ5OYmAihUDjPehkbG5tn5bjj7bffxnXXXYd3330XZ5xxRljnsegtGufJ1+FwoKWlBcPDw1i2bJnfGxUqAp30mfMZGRnx2uI4mDFDrdoOVkqGC4tm9+AXeELzrWuweLoY6rEPEWseApHFw7HyalB6A6cTabgTE0VRUCqVUCqVyM3Nhd1uZ10/TMyBUeZl0qmjEV/gYgyjxY4X9/Xj1YMDsDnm7vlpRQm48aRsFCTF4JynvwEAlMZHJ17C9H/p6OhAcXGxSwJHX18fKIqa52bjAseT64wLi0YikWDNmjXYvXs3Lr74Yvbz3bt348ILL/S635tvvolrr70Wb775Js4999ywzgE4BoiGcZ0ZjUbU1NRAIBBw7irzNC5N0z4nGibLjXHdheuCCdXKmJ6eRnV1dVBSMuFmnR0ePYx7DQ3A0VuTIEhAijIWRdXvAgAcm+4ApLGgKCPnK3YujycSiVyaYc3OzrKNsAwGA/bu3euSVBCqTI8vhHs9hBB82DCGJz7rxrhhLnGmMj8et38nD6Wpc6vhlw/0Y9xgRYpSgvUpjgUR1QzEzeZcNBpquvpCWTSL2XV2xx134Morr8TatWtRUVGBF154AX19fbjpppsAAPfccw8GBwfx6quvApgjmauuugp//vOfsXHjRtYaksvlIWeOLmrXGWPRMK4yX3EHLsGsTrytVJg4SKgFoZ4QCtEMDg6iqakJ+fn5QUnJhJN1tm94H+7acxdsTkPlqfNQPvMFKMMoSFw2HKuvAcCN5eSMSE+QzGQoFAoxPDyM3NxcNtDd2NgIlUrFToYqlWrBkwr6dCY88FE7DvZMAgCy4mX45RkFOGWJhr1XfToTnvqyFwBwy8m5EBk7Fzw47+5mc7Ys29vbYTabQ3azHU+uM67kZy677DJotVo88MADGB4eRnl5OXbu3ImcnBwAYF2bDJ5//nnY7XbccsstuOWWW9jPr776arz88sshncOitmiY6vGmpiYsX748rGBUMHDu7un8ANE0jfb2dvT19fmNgwSLYIiGpmk0NzdjZGQEq1atYtN8IzGWMz4f+Bz37LsHdtqOk2dNSHI48E9lLJaq0iD8+s8AAPsp9wKiuUQIrokGiF7dCUVR7EQHfCsNr9PpUF9fD0KIS1JBqK6fUNxzdprg1YMDeOarXljsNGQiAW7cnI2r1mdCIvp2kqUJwe/+2waLncaG3DhctCIFe/d2LLp0anfL0rlolJkAnVsg+LrXvOvMM7Zu3YqtW7d6/M6dPL744gtOxnTGoiUao9HIvtAVFRURdZW5g3lQnSdji8WC2tpaWCwWVFRUcC50F+jkbzabUV1dDUJIyC67UAjgP13/wR8O/QEO4sBaSTF2dO/GTelzRFvYvReUwwI671TQpa5+32PJovEFd2l4ppBxZGQEbW1tkMvlrIuNa70wZzQNz2Dbf9vRPGoAAGzMi8Nvz1mCrPj5z8Hf9vXjcN8U5GIBtp27hP3dF3tdi3u6ejButuPJdTY7Oxu1xXWkseCuM09gsrjS09NhNBo5CxQGc17OCQE6nQ61tbXQaDRYvXp1ROROAklAcJeSCXUyC8aiMdvN+NORP+E/3f8BAKyRrcHdMasgxm70iCUACPJHmkBEcti2/MmluRlXhaEMImEheYO/bDmVSgWVSsVmWDGun5aWFthsNlaWPyEhAQqFwuuzHujEb7I58MxXvXj14ABoAqjlItx1Rj4uWJbicf+q/ik8/WUPAOCeLYXIjJMHNR5XCHe8YN1skZr0fSFSFo3BYEB+fr7/DY8BLCqLxuFwoLm5GaOjo1ixYgUSEhLQ398Pu90e9epuJhGhu7ubzZxhJFwiAV+TPyEEPT096OjoQElJCTIzM8M6j0An7O6pbvxq36/QNdUFChROk5+Gm1fejPzRXbBQwNhRjbNsmx2OU38NxOd6PHcusRjbBLjrhTFJBVqtFl1dXRCLxSzpeOpH4u+3PNQ7id9+2IaBybnWFeeUJeFXZxYgIcbzOzE5a8Mv/9UMBwHOK0/GRcu/zc6MJtEwqsZcjufPzUbTNKRSKYaGhjjNZvOFSFo0x0MvGmAREY3BYEBtbS2EQiHrEmImlWi0VXYHRVFoaWmByWQKS6crUHhb/TNqA5OTk/OkZMIZy59F89/u/2L74e0wO8xQiVS4PPZyfH/996HRaEC19WHoqFUnp2mocjbDvv6mgK8pVBwL+mXOQolZWVlwOByYmpqCVqtFd3c3GhsboVQqWTebr/tjsjnwl8978PqhQQBAqkqK+84uxMlLvAsr2mmCu/7djNEZK3I1ctx7tmtdV7SJBoisZL+7m62pqQlms5nzbDZfiKRFczz0ogEWieuMcZUxbY2ZB5OiKE7bOQeK6elp2Gw20DSNysrKqFhTnlxnjJQM07+FKykX526V7pPOhGkCf675Mz7q/QgAUCQrwlUJV+HUdaeyq0NK380STYYDsF/wFEB5nkz8EU2wE99itGh8QSgUuiQVMI3emGZvTKvjoaEhJCQksL9xzcA07v2gFb06EwDg+6tScefp+YiV+n5l//x5Nw50T0IuFuCxS5Yixm37aN6/aHe7FAgEEIvFkMvlKCgo4DSbzRccDkdECGx2dpYnGi7gcDjQ0NDAuso8Bb5EIlFYXTaDASEEAwMDaGlpgVgsRn5+ftRcdu5WBtN+Oisry4V8uRoLcF2Jzdpm8U7HO3ip8SUY7UZQoHBmzJn4QfYPsKx8mcuKTdj5PwwelZ5JS14OxHounD0RLRp/kMlkSE9PR3p6OmiaRmdnJyYmJjA0NISWlhZIZAp8MizB+60G0ARIVkpw/7lFOKnAv6DhzsYxvHxgAADw4PnFKEqe73aJpkXDPM/Rluxn3tlAs9mY7MFQa+Eimd7Mu844QF9fHwwGg8/sqWhZNA6HA42NjZiYmMDq1avR1tYW1dWfc5Foe3s7ent7sWzZMs6EQp3hbNHYaTve73ofz9c/D51FBwBYErsEZwrOxOllpyM7O9tlohB+M9fYbFA092KlJ5b5HOtEiNGECoFAAJlMhpiYGCxfvhy1/Xr85j+t6J2cyyhbn0Rw3WoZsiRGzM7KfDZ7axkx4HcftgEArqvMwpbS+SoV0bYwoj0e4DvrzNnNRgjB9PQ0dDqdS+ZgKG62SLjOmB5Mx0N3TWCBiSYvLw8ZGRk+H8RoEI272rFMJou6y45xnR0+fBhmszkiKdTOY9GExuf9n+PF5hfRNd0FAMiMzcQ5cecg35yP1atWz2uyJPzmeYg+/S0AYPDoS5gW41tTjbdo/MNBgKe+7MFf9/bBQYCEGDF+e84SrM+QQafTYWJiAh0dHV6bvU3O2nD7PxphttPYlB+Pn56S63Ec5reIdoxmMaZTUxTlNZuto6MDJpNpXoGut+uIZDIA7zrjAIH0cAi2y2awYHrZuKsORJtoZmdnYbfbIRKJUFFREbGOkUabEV8NfoVnZp7ByME5aQm1RI1rS65F7lQuKEJh1aZVrhYmoSH8/EGIDj7NfjRyNHPKF9EAvEXjD716Cx7+egY9U5MAgLOXJuHXWwoRr5i7v7GxscjOzobD4cDk5CS0Wq1LszdVXDx+/7Ueg1MWZMbJ8PBFJRAKvKdSA9Gb+JmMs8VINO7w5mbT6/Xo7+8HABdtNuf3g3ed+ceiyTrzhmC6bAYDmqbR2tqKwcFBjwKdXDci84WBgQE0NTUBAFauXBl0cNzrSot2YMI8AUIIDowcwGcDn+HQ6CHY6DnxToVIgR8W/RDnp52P9oZ2KBOUKCsrc31pTJMQ/fc2CNs/njtm/ukQdn2KGdHcRKiWeM/G43qCOZ4sGkII3jw8hMc+HYbVQaCWi3Dv2Utw9lLPwqxCoRAJCQmslWkymaDVavHoFwM4MmCFVADctkqK2ckJyIUJHmOLC0U00QRXBZvubjamQHd0dBRtbW2QyWQutTtcE43D4YDJZOItmmghEpaF2WxGTU0NHA4HKioqPK4aomHRMOmYo6OjKC8vR11dXdDHeKXlFXzS+wk2pW3CmpQ1eK35NQwYBpCvzkfVWBWMduO8fbKV2SiwFeDOU++E3WBHc02zx26gVPeXEP/3NlAzwyBCCezn/hkQSeeIRiAEQCNW7P1F8CXeaTab0djYCJFIFJRo5fFg0YzPWHDfh23Y26UHACxPFmPH5auRpAw8q1Aul+OLIQqf9lpBAbj/7FwUqWwYGBhAc3MzYmNj2fvKNHtbCNfZ8VA86V6ga7fbMTk5ybYSn52dRWdnJ9uF0pebLVAYDHNxOj5GwwG46LIZLCYmJlBbW4uUlBSUlpZ6fSjD7Q/jDyaTCTU1NayUjD8hT3cQQtD18g34SNqDToEebZNteKn5Jfb7QeNc7YWQEsJBHChQF2BL9hZ8J/M7yFXlYvfu3RjtHWWTH1ziMbouiL74PYStH86dU3w+7Bc8A5K+GoIjfwMAGI7+dP6IxhP0ej2qq6tZcunp6UFTUxNUKhW7ao+NjZ23//Fg0XzaMoFtO9swabJDKhLgmlVqnJpOBUUyAPB1hw6P/K8TAHDH6Xk4d1UWAMxr9tbY2AiHw4H4+Hi2Foy3aMKDSCRyaSW+Z88eJCYmwmg0+nWzBYrZ2VkA4C2aaIGr9GZCCDo7O9Hd3Y3S0lJkZmb63D6SFo1Wq0VtbS2Sk5NZsmOuMVCiae7owqqR9/F3gQB75TLsUaqxVy6DShyLm5Zei2Fiw/LE5ViRuAIEBCLBtz+1xWJhWx6zOnKEBtV/AMKqlyBo/S8o2g4CCvTqa2D/zm8ByZzVRxnG4ABgwpylEiP27kNmFAic3XuM4nRRURHS0tJA0zSWLFnC1pdotVr09vay9Sfu1s6xatHMWh14+JNOvFc7FxcrSYnBHy8sgdA4DqNxvtXpCx3jRtz1r2bQBLh4RQqu3uD6LHtq9qbT6TA+Pg4AOHjwoIsuW6TigQtl0SzEmMnJyVAqlaybTafTeXSzOSdx+ILRaIRUKo3YbxNtLPqr4GLCd24MtmHDBqhUqoDGDbURmTe4S8lkZWWx33kS8vSFpVmJ2JVzJ9D1JU51NOJ84zDbUZFq+zmIOht06nKQ1OUgmgIQZRpIbCqmTVbU1zdAadVjRWYKYpvfhGC4BoLOT0HNTrDHp/NPg/07vwVJXuoyLmUch8Ep2OyPaNjj0TTa2towODjIKk4731/3+hKmmr63txdNTU1QKpWwWq0wmUxR1+sKFzUD0/j1f1rQrzeDAvDjiizcekoOxEIBeozjQV2LzmjFre80wmh1YG22Gveds8Tn/s7N3lJSUrBv3z4UFha6FDEyumwajcajJRkqjleLxh3OMRpnNxvTXM/ZzeaezaZUKj2er8FgQExMzDH1nPvCMeE6s1qtIY8xOTmJmpoaqNXqgBuDAdy7zpylZDxJ2jD3IuAEBJkaJ112F6597Qxs7Z7A2fGDeHj5OBSDXwODR0BN9UE41QccdX8xSAJwGvNHo+shiVQJuvQiOFb/GCSl3PO4likYj74YEoEEEqH3glbmmqxWK+rr62EymbBx40a/mTQCgQDx8fGIj5/r4GmxWKDVatHR0YHu7m709fWxK/KEhISINCTjAjYHjRf29OGFvX2gCZCmkuIPFxRjXU4cu00wFprVTuP2fzRhcNKMrHgZnrhkKcTCwCdVhqA9NXvT6XTo6elxUTLQaDRhFSyfCBYNU/vmzQvh7mZzV4YAPLvZGKI5XnBMWDShuM4IIejr60NbWxsKCwuRm5sb1OqAKaDkAgaDAdXV1ZDJZF4lbdwVowOBSCjA498vxyXPf4P/6rMx0r0cL131C0jpWVDDNRCM1oEaqQcm++DQ90NknoCAzB3fLpQDMUmgkopBUspA52wGydoA+CAOAKDMU5g5KjfjKz7DXBMw56qJiYkJOW1bKpUiPT0dw8PDSE9Ph1wuh1arRV9f37zYTqR60QeLXp0Jv36/BXVDMwCAc8uT8esthVDJ5l9/IOdLCMH9O9tQPTANpVSIp35QjjhFcATryRJkmr1lZma6WJLMvXXWZQu22duJYNEwc0SgYzpb7p7cbFKpFP/v//0/pKamcpJUAADPPPMMHnnkEQwPD6OsrAw7duzA5s2bvW7/5Zdf4o477mAV9H/5y1+y3ThDxYITTaBdNoMBYz3o9XqsXbuWXRkHA65iNMFIyYRS4JgYK8WLP1qFK/5+GEf6JnHnPxvwxKXLIM7dDEfuZlitVtTU1MBqtWL16tVQyOUAofHVnr0oKyubV5TpF+Zp1qKJlfgmGp1uTmkgKSkJJSUlnAT3KYpCXFwc4uLiUFBQwFo7zAqRaVjGTI7RVv0mhOC9mhE8vLsTJhsNpVSIe89Zgu+Wee4rEujv/bf9/fhP/RiEFPDo90qRnxh8fyZ/LkdPlmQ4zd5OFIsGQEiZbp7cbCMjI7BarXjjjTcwNDSEk046CWeeeSbOOussrFu3LuiF2ttvv43bb78dzzzzDDZt2oTnn38e55xzDpqampCdnT1v++7ubnz3u9/F9ddfj9dffx179+7F1q1bkZSUhEsuuSToa2Sw4ETjD8HW0czMzKCmpoa1HkIVogzXdUYIQVtbG/r7+1FeXh6QlEyoVlRRSiyevnw5rnutGrubx3HHu/V4/NJlMBkNqKqqglqtdu2jQwlDrxOyTLExmhiRZ9PeORYFAIWFhZyszDwtShhrh4ntTE9PQ6vVor+/n7V2mImRqxWiN+iMVmzb2Y7P27QAgHU5avzh/GKkqcOTqv+0ZQJ//rwHAPCrswpRme9f98wTgo1teWr25i7Z4qvZW7QtGqYtQTSJxuFwcFaUKhKJkJmZiRdeeAGvvvoqXnvtNVx77bX45JNP8OSTT+LAgQMoLCwM6piPP/44rrvuOvzkJz8BAOzYsQO7du3Cs88+i+3bt8/b/rnnnkN2djZ27NgBACgtLcXhw4fx6KOPHt9EE4xlwahA5+bmhj25heM6s1qtqK2thdlsxsaNGwNOUaQoKmRy25CnwdM/XIFb36rDJ83juP7lb/D9jBmULslHfn6+R2silAwuyjwFg8C764zRjNNqtVizZg2++eYbr+MEO76/31MgEMyzdphMtoGBAZf2zAkJnosaQ8VXHTr89sNWaI02iAQUfvadXFy1IRMCP+fsb/JvHjHgnv+0AAAuX5OOH65ND/kcw0mi8LT61uv10Gq1aG1thdVqdUkqiImJibpFsxDaaoz8DNeEOjs7i4SEBFx77bW49tprQyJtq9WKI0eO4O6773b5/KyzzsK+ffs87rN//36cddZZLp9t2bIFf/vb32Cz2UKOhy440QTiOvMXo3E4HGhpacHIyAhWrlzJBjrDQaius6mpKVRXV7PJB8GYuuGqEZyyJBFPXbYMt7xZi/19BujNCvx1k+cmaSGNRQhgnoIhdi5g6e46Y9pMA0BFRQU7kXOZkhzMsZxX5ExLYIZ0mpub2fhDONaOyebAY5924e0jwwCAwiQFtl9QgpLUwOsfvI07PmPBre80wGSjUZkfj1+dVRD0+TmDy9/BWbLFudmbTqdjm73JZDLY7fawJqhgEGy8hKsxoyE/E8o1TUxMwOFwzFM9SUlJwcjIiMd9RkZGPG5vt9sxMTGBtDTfklPesOBE4w/+XGezs7OoqakBRVE+VaCDRSius/7+frS0tISUfACEn4BgtVqhmOrBnavFeK6RoGXMhMv+eggv/mgVCpJc3Vy+qva9wmYERRys60wh+jZOMDU1haqqKiQkJLAyNszExtUEx1VL4Pz8fFitVja2U1tbCwCspRNo8knj8Azufr8FPdq5njE/WpeBn30nFzJx4BOPt3tjtjlw27tNGJuxIi9BjkcuLoXIi4ZZMGNFwpXlrdlbb28vzGYz9uzZMy+pIBLnsRBEEylBTS6bnrnfa3/PgaftPX0eDBY90fiyLMbGxlBfX4+0tDSUlJRw+oMHM+k7t6CeV2UfBMKxaKanp1FdXQ2lUokrz9mE71RaccPr1ejVmfCDF7/B499fhlOKEl3GCpoAzNMAgNmjxZ8M0QwPD6OhoWEewTq3I+AKXB1LIpG4xB+Y2M7AwABmZmYgFArR2dnJWjvOz5aDJnhpfz+e/qoXdpogKVaC359fFHLsxNOLfd+HbWgYnoFaLsJTPyj3mK0WLKJVf8SkSBuNRohEIixZsmReSq+zC5Orhn7MPBFtEc/FKqiZmJgIoVA4z3oZGxubZ7UwSE1N9bg9IxUVKhacaPw9FAzROL8kNE2jo6MDvb29KCsrQ3p66H5rf+P6g8lkQnV1NScWVahEw0z0eXl5KCgoAEVRyE0Q4a2frMOtb9XhSN8kbvx/Nfj5aQW4YXMuG7wMdizKNrdyNx0V1JSJZGhra0NfX59Xl2WosSCP40doAnGWjM/Pz8fAwAAGBgZgNpvZbCtmUjQLY7Dt4y5U9c+R7hnFifjdd5cEnWrsC8/t6cPHTeMQCSg8cclSZGu4sdKjXejKjOee0sv0gRkaGkJraysUCoWLLluoEzeTCBDtRmuRIJrZ2dmQ3VQMJBIJ1qxZg927d+Piiy9mP9+9ezcuvPBCj/tUVFTggw8+cPnsk08+wdq1a8Nyfy440fiDSCRis0mEQiEsFgtqa2thsVgi3rPFH9FotVrU1NQgJSUFS5cuDduiCpZonDPbPHUo1cRI8PLVq/H7j1rx9uFBPP5pJ1pGDfjDhUtDs2gcZgCAWTD3YunH9BiRjfhMeOCSaIDoSNCIRCJIJBKUlZWx2VYTExN491AvXm2ywOKgIBNR+PnJGbhsfU5YE4375P9x0zie+aoXAHDfOYUuxZ3hItrBeU8ZYO59YGw2G5tU0NzcDJvN5lLAqFAoAiaOhVIFiMSYRqORk7ntjjvuwJVXXom1a9eioqICL7zwAvr6+ti6mHvuuQeDg4N49dVXAQA33XQTnnrqKdxxxx24/vrrsX//fvztb3/Dm2++GdZ5LHqiYV5ixu9bW1sLjUbjmq4boXGZql9Pro3u7m50dnYGpJsWKIIhGpvNhtraWrba3ttDKREJ8MD5pShNVeL3O1uxs2EUXRNGbF0mQkKw1pN9TqFh9ijRiCH2q7bgi2iCXXkuRCEmRVEgYjmeqbFgV7MVAIWlyTLcuEIGsWUQe/cOID4+nk0qCMcN1DA0g3s/aAUAXLUhA99bGd6K1h3RtmgCyZQSi8VITk5GcnIy21WSafbW2dkJiUTCWpP+dMIWSucsUq4zLojmsssug1arxQMPPIDh4WGUl5dj586dyMnJATDnDWHaWgNzzSh37tyJn//853j66aeRnp6Ov/zlL2GlNgOLgGgCSVkFgJ6eHvT29qK4uBhZWVkRf2G8qSnb7XbU19djamrKo5RMOAiUaGZmZlBdXY2YmBhs3LgxIJP2h+sysSQ5Bre9XY+WEQN+o6Nw73cUyM0N4gQdFgCA8ShvLMld4nfsY9GiccaBbj1+80ErxmasEFLAzSfn4LrKbIgElEufEsYNFBMTM0+e3xeYyX902oLb3m2ExU5jc4EGd5yWz/m1LITrLJiJn6IoxMbG+mz2xqhAMDph7np6vEUzH1u3bsXWrVs9fvfyyy/P++yUU05BVVUVJ2MzWHCi8QcmA2hwcJDzid0XmIfH2QcbiJRMuGP6I5qRkRHU19eHVCu0Nice/7xxPW55sxaNwzO455MhzAhi8aMN/ombEILxoX5kArCIhAAI5CL/sYNjIUbjCVYHwSP/68SrB+faLeRo5Nh+QTGWZXwryOrep8Rms7F1Ow0NDaBpml2N+7J2LA6Cn77biHGDFYVJCvzpYu9dMsPBYrRofMFTszcmqaC3txcCgcAlqSBS1oUvRLK75vHSIgBY5ETDZFIJBAKUl5dHjWQAV4sG+HaCz8nJwZIlvhVzQ4UvoiGEoL29Hb29vVi+fLnXrBF/SFPL8P+uW4tbX92Pr/vM+P1HbWgamcH955VCIvK8MqNpGs3NzaAHeueIRiAEYA+baEK5h9GwaLp1Fjyw34SBmTn5/h+sTsOdp+dDIfE9oYjFYqSkpCAlJcXF2hkeHnYJeickJLDWjoOm8ZeD02geMSNeIcaTPyhDrDRysv3RBNcxIeeul4wKhE6nY+uiZDIZaJqGXq8PyJrkAos562wxYcGJxtNkQwjB4OAgmpub2SygaJvEjMil3W5Ha2sr+vv7w5rgA4E3orHZbKirq4PRaOQkAUImFuJn69VYkijDy9WTeK96GCNTFjx3xQpI3WpArFYrqqurYbfbsaEoH2gDzEd/M5nIv7TKsWTR0ITgtW8G8efP+mCjCTQKMe4/twinFgWf1unL2mGakWk0GrzVaMD+ARvEQgo7vr8UmXHcZJh5wkJYNJGyMJxVIJi6qJ6eHoyOjro0e3NOKogEIuE6Y2JVx0t3TWAREI07HA4HmpqaMD4+ztakjIyMRLytsidQFIX6+no4HI6gpGRChadMN4NhTq9MoVAE1ebAH4RCIS4qUWJTWR5++nYd9nXpcPu79XjysuUQHZWen5mZwZEjRxAXF4c1a9ZA0vo+AMBxdLISUP5fsGMlRjMybcG9H7TiYM8kAGBFkhA7rliDxFhu3KPu1o7BYMA/D/fhP51zPXl+VCyEyjIOnc6BuLi4iCysFnuMJhxIJBIolUoYjUasXLmSbfY2NjaG9vZ2tvlYQkICp83eaJqOiHDr7OxsxMhxIbCoiMZoNKK6uhoikQiVlZWsOixXXTaDweTkJOt/DUU1NRS4Ew2j/Jydnc25u46pozmpOAHPXrECN7xeg89aJ/Dnz7pw55mFGB0dRV1dHfLznbTSHHNZZ4QpyIT/8/FHNMEQB9ekxeCjxjE8+HEHZsx2yEQC3LA+EatVRs5Ixh0URaFrmuDJg3Pq1heXxOBHm7Kg1WrR1NTErsYZN5s/leRAcazFaEIZj6mjYZq95eTksM3HtFot2+xNrVazSQXhNHuLZDIAb9FwCOYHHhkZQUNDAzIzM1FUVOTy40WyrbInMFIyYrEY+fn5UWunKhAIYLPZQAhBR0cHenp6sGzZsoCUn0MZi7mnG/M0+OPFS/Hzdxvwwp4eZEhmkWAdne8qZCRljv4ZLtEsdFvmabMdD+3qwH8bxgAAZWmx2H5hCeS2aQwNzUZs3LEZC25/twlWB8HaNAmuWhnnkuJrMBig1WrZHiUKhcJlNR7qxHY8WzSA96wz9+ZjXDZ7i0QygN1uh8Vi4ZMBuAQTaB4cHPQqpx8tomGkZMbGxrB69eq5ADhHzc8CAUM01dXVmJmZwcaNGyO2qmHGYvDd8lQc7NbhrcNDeHr/GN6/aT00cW7JF+wkdZQgApizuI7RcHWsQ72T+PV/WjEybYGAAq7flI0bT8qGWCjAyMg0J2N4gtVO445/NmPCOJdhdts6BYROk6PzapxRSWZiO87WDkM8wShRLMTEvxAWjT94avam0+lCavYWiTiUwWAAAN6i4RImkwnT09OoqKjwmmURapfNYM/DWUpGJpNx2mUzEDAKqXFxcS7qx5GA+6RtMpmwWaXDTgmFMRPBR63T+L8N7ll+RyWA2L/Cd50x/TyiNQFa7TSe+qoHL+8fAAGQGSfD9gtLsDJT5XdfLrD9kw7UDk5DKRPhL5eWYWa42+f2IpFoXkGjVqtlYw9MT5hArJ0T1aLxBedmb86tJZhmb0yKunurZQaRcJ0ZjXPZjnzWGYeIiYnB+vXrfb4AwTY/CxYTExOora1FamoqSktL2Qcn3OZnwWBsbAy9vb2QSqVYu3ZtxCcEZ60zvV6P6upqpKWk4KenxeIPH7fjrcMDuGK9W4sBRiTzqEUTKtEQQkAIYe8ts4hgCMcb8YRr0XSMG3H3v1vQOjb3In9vRSp+eWY+YiKUTuyOd6uG8Y/qEVAA/nRRCbLi5WgaDjybzrmgkYk9eJJvYYjHfVKMtqtysVo0vhBIszdnN2YkLBqj0Qi5XB71mqBIYsGJJpDudJFynRFC0NXVha6uLo9SMtFw2TmfQ3p6OkwmU1ReTkbrjKlBKC4uRnZ2NrJMNjzyv060jRnRPDKDpWnOK31GjXnun4Gcpzs5MLp1zEpQKpWyoqnM587nyPzHHCsU0ITg/x0awhOfdcHqIIiTi7Dt3CKcXpzof2eOUDMwjYd2zXUcve3UXJxUMKf0HM7k794TxpO14zwp8hZNcAik2Rswt1CVy+WIiYnh5P4aDAbOjrVYsOBEAwTW/MxisXA6pt1uR11dHaanp70qDkTadcbI2UxPT2PDhg0wGAysjHo0MDU1Ba1W69LaQCUXY1OBBp+3TuCbbr0r0bilMwdr0TBWDLPSdbYcAbDacsw2zH/MNgwZBYPRaQvu+7AV+7snAQCb8uPx4HlFSFL61iTjcvU/PmPBHf9sgp0mOLMkEddVZrl8z8WE4svaaWlpgc1mg0wmg0AgiFrq7EJYNJFM3PHU7O3w4cMwGo04fPgwxGKxiy5bqKUIRqPxuEptBhYJ0fgD15aFc22KLymZSFo0TCq3VCpl4zGzs7NRiQlZrVYMDAzAarVi06ZN8x7qFRlqfN46gfqhGdcd3VxngYAhGmcC8SblzhCOsyoDs4/dbofRaIRarYbNZvPpYmPwSfM47t/ZjmmzHVKRAL84PR+XrUmL6uRnc9C4871mjBusKEhU4MHzilzGj5Q7y9Ok2N7eDoPBgIMHD0Imk7nEdiLhpom2ReNwOCIa13QG0+xNIBCguLgYCoWCTSro7u5GY2NjyM3eGPkZ3qKJMriM0QSjFRapGM34+Dhqa2vnpXKH28o5EDAkKxQKoVarPa6clqTMBSF7tO4pvnP3Snj0/w7i/94wsSB/JOMJjNvMYrGgoaEBFEWx7k1PLjbm3waLHdt3deA/9XNpy6WpsfjjhSXIT4z+KvHPn/egemAaSqkQf760zGM8KBrxuJiYGKjVakgkEhQVFUGv10On07EuoLi4OJZ4uFpNH4sxmmDBuICdU6QLCwthsVjYDq7BNns73uRngEVCNIG4zsKd8GmaRltbGwYGBjz2bvE2LpcTv3N7AU8N2yJNNGNjY6irq0N2djYUCgWGhoY8bhcnnzP5DRa3TL+jrjP5UaIx2U0+x2N+U8ZSC6Up1czMDGpqahAXF4elS5d6tHYIIWxCQfXADH67swNDU3Npy9dVZOHmk3MgFkZ3AgKAz9u0eOXgAADgwfOLkeOhgVk0A/RMjMaTtaPVajExMYG29g6YKSkcUhWEshhQEgWsDgK5RAiVTAS1TIS8RAXkAbSrPtZjNP7g3CfLHVKp1G+zN4Z03Ju9cdnGebFgURCNP4Sb3sw0S7NarT7TqN3BaJ1xAbvdjoaGBkxOTnqNCUWKaJwJrry8HGlpaRgeHvY6FiMeabS6XbtwjoAUR5MBfBEN8xJqNBr09vair6+PLZpLSEgIyH89MTHBKiOw6gRH4WzF0DQNi82Op7/qxUtH05bT1VI88N0CrMmOQwSEkP1iaMrM9pa5cn2Gz8SDaK363Sd+s82BphED6ganUTdoQLfWgX69GBa7HYDu6H/zIaSAgqQYrMhQ4ZyyJKzJVkPg4RqOd4uGeX/8uR0DbfYWFxeHycnJiMVo9Ho9brvtNvznP/8BAFxwwQV48sknERcX53F7m82Ge++9Fzt37kRXVxfUajXOOOMM/PGPfwy6q/ExQTThuM4mJydRXV2N+Pj4oJulcZWEMDs7i6qqKkgkEp8xoUgQjcPhQGNjI7RarQvB+bIiTba5c1C4rVqJeG5FLqdpQOCdaJh4DCEEubm5yM3NxdTUFCYmJtDd3Y2Ghgao1WokJSUhMTHRY4ZNX18f2tvbsXTpUr8tbTsnTLjn/SY0Dc8Vul2wPAW/OiMPCrHAxdrxlz7NFWwOGne914xpsx3L0pX4+Wl5XreNpkVjd9Bo09nwvy97sK9Lj6YRA+z0/PFFAgqpKilipULIRBSExIEZkxUzFjsMNgozNqBtzIi2MSPerR5GulqKqzZk4ger01wsx4WY+KMdEwIQ9Jjuzd4Yi7KmpgY//vGPERcXh/j4eLz33ns4/fTTOVOtv+KKKzAwMICPP/4YAHDDDTfgyiuvnNe6mQEzb913331YsWIF9Ho9br/9dlxwwQU4fPhwUGMfE0QTiuuMEIL+/n60trZiyZIlyMnJCXp1xYXrjKnRSU9PR3Fxsc+HkmuiMZvNqK6uBgBUVla6+IV9jTVjnpuYlTI3q0M8t8qS03O/hckxn2i8Bf2ZorglS5bAZDJhYmLCpYsiY+3ExcWhs7MTIyMjWLNmjdfVFgA4aIJXDvTjL593w+qgoZaLsO3cYmxZ+q1b1Dl7zV/6NFd47us+1A3NQCkT4dHvlfp120Vy1W+yObCnU4fdzRP4umMCBiuBs6WSGCPBikwllqWrUJwSgxyNHGlqGUQezECHwwGdToeOoQlU9+pQPWpDjU6AoSkL/vhJJ948PIRfbylAZf63qdvRJppo1p44Z0SGCiZ+FhMTg+zsbPT09ODuu+9GVVUVfvOb3+Cyyy7Dpk2bsHv37rAEdZubm/Hxxx/jwIED2LBhAwDgxRdfREVFBVpbW1FcXDxvH7Vajd27d7t89uSTT2L9+vXo6+tDdnZ2wOMvCqIJpI4mGBeWswL0mjVroNFoQjqvcGJDhBD09PSgo6MDS5cuRUZGht99uCQaxpJLTExEWVmZx97t3lbTw1NmAEBCjGeiUTjsAIQw2VyJJpDMMmCur0hWVhaysrLgcDig1+sxMTGBlpYWmM1mCIVC5Obm+gyY9ulM+PX7zajqnwIAnFyowYPnl8xLW3Z3sTlbW96snXBQMzCNv+6ba437u+8uQbqaG0HMYGC2ObCnU49dzeP4sl3LWqgAECOmsKkwASfla7A+Nw7pamnA1ywUCtnYTsWKuRXv4Og43q8bxT9bTejVmXDjmw34v5UJuP3MogUR8Yy2RcPFM+MMpVIJhUKBM844Azt27EBfXx8OHToUtmr7/v37oVarWZIBgI0bN0KtVmPfvn0eicYTpqamQFGUzwWgJywKovEHZsIP5MGdnZ1FTU0NBAKBiwJ0KAh14nc4HGhoaIBerw+qKyhXRDM0NITGxkaflpyvsbom5irnC5LcYlmMRcMQzVGLhpm0GashmJdPKBSy7jOdTseq6up0OnR1dSEmJoa1dtRqNSiKwttHhvDI7k6YbA4oJELcfVYhLlnlP23ZW/q0e7Go3W5nPwtm4pq1OvCb/7SAJsB55cnYUprkdx+uJmMHTbC/W4//1I/iizZXcklXS3FWaRIKZUaUJMlQXLQk7PGAOc2wJXk5+EVeDq6fteCRXW14v0mPN2q0qOndhx8XOTAyMoK0tDQoFIrI9xNaAFddpJqeMYvj7OzsoCwHbxgZGfGYAJWcnIyRkZGAjmE2m3H33XfjiiuugEoVnGTTMUE0TFzF3w87Pj6Ouro6pKWloaSkJOyHLhSLZnZ2lm11UFFR4XNV7g7nosRQzp0Qgra2NvT392PlypVISvI+0fmyaDrH54gmP9GVaJgYjcJhAyCFyW5yIRjmGoKdUCYnJ1FbW4vk5GQX96LNZmOzoWpra6E3E7zTI0bt2JwY6LqcOPzhghJkxofWLMyTtWMymTA0NASFQsFaO8w1+YvtPP5pF/r0ZqSqpLhnS2FI5xQshqbM+HftCP5VO4qR6W/jiWkqKbYsTcJZJYkoT1eCoii0tLSwvYa4hlohxe8vXobKojH87sM2NOpp/LVFgDvVUxgYGIBYLGbTp+Pj4yNSWLlQFg3XCKaN87Zt23D//ff73ObQoUMAvDeZDOR9tdlsuPzyy0HTNJ555pmAzs0Zi4JoAnGdAd4luZ1lXAJ1UwWCYImGCeiFSnTOk16w+zp34QykSZs3i8ZBE9QOzLmjytLd1GNdLBpg1jbLWgTO5x8MRkZG0NTUhMLCQmRlZbk8C2KxGKmpqUhJScGH9aP440dtmLHYIBIA52fTOL/YCqt+GNPCRCiVyrBWzAKBAAaDAdXV1YiLi0NpaSlLos6KBN4SCuoGp/FO1TAA4MHziqCSBfZqhZIMYHPQ+LxNi/dqRrCvS8+Wz6pkIpxXnoxzy5OxLH3+/YiGK+u7ZclIipXglrcb0DIFvNElweOXnITpoyoUnZ2dMJlMrOWakJDAmdzKQhBNpCyaQJWbb731Vlx++eU+t8nNzUVdXR1GR0fnfTc+Pu63a7DNZsMPfvADdHd347PPPgvamgEWCdH4A/Pw2O32eRlbNpsN9fX1mJmZwYYNG0K6Cb7GDYRoCCHo7e1Fe3u7R820QOHs0gkGRqMRVVVVkMvlAXfh9GbRtI8ZYLA4ECMVoijZjawYi+bo+ZnsppDrY5iUa6bnjjfrS2e04oGdbfikeRwAsCxdiYcuLEWmSsQmFPT09Lj0HNFoNEGvmHU6HWpra5GVlYWCggKX63GXxnFPKKBB4cGP2kEAXLAsGRvz4oO6D4Heu66JWbxXM4IP6kehm/22xcOG3Dh8b2UqTi9OhFS08OrN63Li8NSlS3Hjm/X4okOPJ7/qwx2n5bMyRyaTCVqtFlqtFt3d3ZxZO8eL6ywYiSDnPju+UFFRgampKXzzzTdYv349AODgwYOYmppCZWWl1/0Ykmlvb8fnn3/O/obB4pggGqbIzH3Sn5mZQXV1NdvmmGv5iUCyzpzTh9etWxd0kMwZzhZNoGDcShkZGSguLg6q6t7TON/06AEAKzPV890sQikIJYCcKcS0zYZEMjRNo6mpCXq9HuvWrfO6evu0dRzbPmyF1miDSEDh5pNzcf1J2RAdvU8ZGRnIyMgATdNsQkF7eztMJhPi4+PZ9Gl/L+3w8DCamppQXFzscZHgSxqHEII3Dw+iZdQIlUyI20/N4XTCm7U6sLtlHO/VjKCq/9s+OUmxEly0PAUXr0xFVoCuw2gG51dnqfDDAhqvdQjx0v4BlKcpcdbRmJVcLkdmZiYyMzPhcDhYzb1wrZ3jxXVmMBg470VTWlqKs88+G9dffz2ef/55AHPpzeedd55LIkBJSQm2b9+Oiy++GHa7Hd///vdRVVWFDz/8EA6Hg43nBNsgblEQTSAPkrsba3h4GA0NDQFJyYQKfxYN08NGIBCgoqIi7Ja7TBwgEKJxtqJCcRd6s2i+bJsAAGwq8LByoShAHAMFPec6MzvMQd93q9WK2tpa0DSN9evXe4xh6WeteOjjDvy3Yc7UL0yKwR8vKsXSNM8vn0AgYCem4uJizM7OYmJiAuPj46y0O7Pyi4+PZycHJjOwp6cHK1asCGhlyIzHHMNgtuFvB+YUFm7dnA21TOgS2/GXPu1p8ieEoGnEgPdqRrCzcQwGy9wzKKSAzYUJuGRlKk4q1HhMQfaFaBINTdNYm0QgSszASwcGsW1nO5alK5HmloXnLN3CpL4z0i2MtcNU0PuyVMOJbYaKSLrOIiFB88Ybb+C2227DWWedBWCuYPOpp55y2aa1tRVTU3Ou84GBAba4c+XKlS7bff755zj11FMDHntREE0gYIiGpmm0trZicHAwYCmZcMb0NunrdDrU1NQgOTkZS5cu5ewBDyTzjLEIxsbGQraiPI1jtNhx8KhFc2qR66TLxivk8ZBb5zTEPNXR+AIjJKpUKlFeXu7xJd3VNIbff9QGrdEGAQX8uCIbt56aC6ko8BdaoVCw2TpMh8qJiQk0NjbCbrezpKTX66HX67F27dqQV5Dv1YxAP2tDZpwMl67NhEhAsckRwRaLTpls2Nk4jvdqhtEyamQ/z4yT4ZKVqbhgeQqS/ahO+0I0iYZZxNx6Si4O902jfmgGd7/fgr//aAWEPgjS2dqhaRqTk5PQarXo6upCY2Mj1Go1SzzOwpPhxAlDRSRcZ0wBZyS6a2o0Grz++ut+x2eQm5vLWUHxMUM0IpEIJpMJHR0dsNlsQUnJhApPadWEEPT19aGtrY3t4cIl/BGNxWJBdXU1aJoOK33bWVWZubb9XTrYHATZGrmLAKVL7YlcA4VlztLwp3XmDK1Wi7q6Oo8xEACYMFjx+4++jcUUJsXgDxeUYFlGeDE39w6VBoMBo6OjaG9vh91uR2xsLEZHR0HTdFAKu8BcUP7v++dqZq4/KQdS8dzr5C99GvjW2qEJQc2wCX/5pgW7WyZgsc/99mIhhTNKEnHJylSsy4nzKPESLKJt0QCARCTEwxeV4Pt/rUJV/zT+tq8fN5wU2DsjEAjmWTtMW+ve3l4IhUJ20cDEZo8H1xnfJiBCCOThJ4SgpaUFSUlJWLNmTUT7TjBwnjAY0mlqasLExATWrl2L+PjAg76BwhfRTE9Po6qqCnFxcVi2bFlYqyln9xFz/z9rnXObnVqU6EKszvUxUGgQq5s7vxnrjIcjz8fAwABaW1tRWlo6TyOJEIL/NozhoY/bMWmai8VcvykbN27OhcRHYDsUUBQFsViM8fFxqNVqlJSUYGpqCuPj46iqqgJFUUHpsR3s1mNsxgqNQowLV6TO+95XsWi/bhYfNIzjvWojtOZvrZfCJAW+vyoN55YlI04RXpGeO6Jt0TDXnhUvx2+2FOI3H7Ti2a978Z2iBCxJDn6RKJfLXeJyk5OTrIuNaX/c39+PxMTEqMjsR7KOJhIWzUJiURCNLzBSMjMzM0hNTcXy5cuj9rI4TxI2m42Vc+EiHuNrTE9Ew7Q3yM/PnycwGQrcXQ4OmuDztjlr4rTiJPY790p/IotHwtGV+aRlEg7igJDy/LIRQtDe3o6hoSGsWrVqnkLD2IwF9/+3DZ8fjQuVpMbiDxeUoDQ1Mi8ZkzySkJDAtuxWKBRIS0sDTdPz9Nji4uJY4vEUlD7YMwlgjpglfupTBAIBps02fNqixfu1I/imd5L9LlYixJbSBJxfnoRl6cqIyOIA0bdonMc6f1kydreM44t2He77sBWvX7Mq6BiTM5ytncLCQkxOTqKqqgozMzPo6+tjYz9MbCfcynpPiIRFY7VaYbPZeKKJJpwzuuLj49nK8GiBWa1otVo0NTUhKSnJRao+EnAnGkIIOjo62IA1VzEpZxIVCoWo6puEzmiDWi7C2pw4F30w58wyItdA46AhAECDxqRlEgmy+YkDjFq10WjEunXrXNychBD8u3YED3/SgWmzHSIBha0n5+K6TdkRk/NnXHc5OTnIy8ub9xwJBIKA9dg0Gg2EQiFbIFmQ5N3NoTVa8VW7FruaxrCvS8+KWFIASjUU/q+yAFvKUiEVCbx2Fg2kWDQQLJRFA8wtbO47ZwmO9B9B47ABLx/ox08quXM7i8ViCAQCLF++nF00aLVa9PT0oKmpCSqViiWecGuuGESioydjmfH9aCIATz86U2EvFApRUVGBtra2iHW79HdedXV1bDwm0i+qM9E4t3reuHEjp6scd4tmd/NcgP/UokQIKVdlWpeOkAoNhADiKTG0xAatWTuPaMxmM2pqaiASibB+/XqX1eSA3oQHdrZhT+ecsGN5uhJ/uKAES9xrdjjE4OAgWlpaAlKCZuBLj81qtUKj0UB6NE76v+ZxbMiNR7xCjLEZC3p1JjQPz+BAjx6tTkF9AChIVGBFvB2b0oU4vWK1S4qot/Rpf8WigWIhLRoASFZK8asz83HvB2145qtefGdJwnyZozDGc25+xywaCgsLYTab2dgOl9aOw+EISvkjEBgMcwrkPNFEAZ6kZLjsshkImMwuAFi6dGnIRZjBgiEahmjFYnFEaoTcYwf/a5lzm51elMDeZ2Yl7QL5nPsrkQigBaA1a12+np6eRk1NjYt7CpgLnL96oB9Pf9kDs52GRCjAT0/NxdUVWWxdDNcghKCzsxP9/f0eXXeBgtFjS0xMRHFxMYxGIyYmJrAuYRQfCAiqB6bx/Re9y6aXpMbijOJEnFqoxmRvC+RyBZYvX+7VMvYW2wlXfXohLRoGFyxLwcdN49jTqcd9H7bh1atXhuVCY+ArtVkmk7FNyBhrR6fTobe3F01NTWzL5WCtnUi4zpjU5mgmNUQDi4ZomPqRzs5OdHd3z+tAyUWXzUDBrMhpmoZEIolqtzuBQIDp6Wk0NjZyptnmCczLRNM0mkdmMDhphkwkwMa8OM8EcxSEIRqaoFXgSjRjY2NoaGhAfn6+i5hn7cAUtv23lV3db8iNw+/OLUZuQuQya2iaRmNjIyYnJ7Fu3TrOfkOKohAbG4vY2Fjk5uYiO0+HJz/vRMOIEWYbQYwYyFSJkJ8Ui5OKUrCpMBGaGAnbQjsxMTGo39S5WJSxbDx1Fg3E2om2RePpPCiKwu++W4SLXziM+qEZvHZwAD+uyIrYeO5wtnYKCgrYlstarRb9/f2gKIq1dvwlhEQiGcBgMHAmybOYsGiIxmazoba2FgaDwaOUDFdNyPxBr9ezK/KysjLs2bMnqpaU1WpFd3c3SktLOU+ddgcj4rm7ac5ttqkgHjFSsc+HnCGaBJsNkAITpgm2eLSrqwvl5eVsHMlgsWPHZ11489AgCOZaRP/yrAJcuDw1oi8S8yw5HA6vRaFcYVWOBn+/5tv+K9PT0xgfH8fExAQM403osKgQExOD0dFRZGdne0ztDhTOriEg+F470bZovI2VqpLil2cU4Lf/bcNTX/bglCUJLun0oSDUSd+55TJN05ienmZdbM3NzT6tnUhYNMHIzxxLWBREQ9M0Dhw4ALlcjsrKSo+riGi4zvr7+9HS0uIir89F87NAQNM0WlpaMDs7y5k0uD9QFAWHw4HdR2tXzihJ8jsRkdg5Ab4kixGQKqA1aV1SvlUqFQgh+KB+FI/+rxMTBisA4MLlqfjlWQWIV3DrAnQHo9Ygl8uxatWqqDbCcm7ZW1hYCIvFgq6uLgwMDEAgEGBoaAhWqzVkPTZ3eHKx+SoW5YxoCIFw8CCEXZ9COFQFwcwQYJsFhBIQZSrouDwoZRmIc6QCjlWAcP5vftGKFOxqHsfeLj1++2EbXrnKdyGnP3ChCiAQCBAXF4e4uDjW2mFiO+7WjkajiYgyAG/RRBACgQArVqzwmfseSdcZTdNobm7GyMgIVq9e7SIcFw2XndVqRU1NDWw2GxISEiKWOu0MxofeOTqN9nEjRAJqnhqAx/2Uc+7MJJsZgALtw+3YlLAJGzZsgEwmQ/PIDP7wUTvbkCxHI8dvv1uEivzQ4iPBYGpqCjU1NUhJSQlK9y1SGBsbw/DwMFauXMkqEYSqx+YP/nrt2Gw22Gw2OBwO2O32kFOoRR27INn7CIQTLZ43MAxDOFyNBAAJAEjTg3Ckr4U99xQ48s8ArSkEjrpmf/fdJbj4hSOoHZzG64cGcfWG0OOgkZCfkUqlSEtLY9PfGWunv78fzc3NoCgK4+PjkEqlQRf7ekMwLQKOJSwKogHm2ob6shyC7bIZKCwWC2pqauBwOFBZWQm53FWgMFAF51AxMzODqqoqqFQqrF69Gk1NTRG3oJjgslqtxptfNwEQoDxZCqHDAkJEvl8YsRxEkYB0+ywAQOvQYu3atTDYCB79qA1vHR4ETQC5WICbNufi6o1ZnBdeesL4+Djq6+tRUFAQlexAX2BS0gcHB7F69WpWIigUPbZQ4UwkVqsV9fX1kEgk7HsWdPq0eRKyT+6CuP2juWsUyWEvOhf27E0gcbkgkljAYYFgegACfQ+svd9AOnIYEts0RH17IOrbA3z1B9DqbNjzT4c9/3SkZW7Enafn44GP2vHkFz04dUkCcjSh9RaKtM6ZJ2vnm2++gcViQW1tLWvtMBZPqMk7kdI5W2gsGqLxh0i4zph2xxqNxqv2ViQtmrGxMdTW1roIgwaidRYOnDOYVq5ciSfrqwFMYUUihYMHD0IqlbKrbG8Tnk2RiuypVgCAjtbh/x0ewnNf92HSNCddf05ZMn5xRsE8AcVIob+/H+3t7SgrK/PbWyPScFem9jZpBKLHxhBPODEmq9WKqqoqSCQSrF69mnUFB5M+Tem6oPj3NRDou0AEIljX3ADr+q2ALG7+9aeuBAAMZQ1hdGQEa3JiIezdA1H3ZxD274dgqg+S6pcgqX4JRKzAj7I2YSItG++OLsVvP4zFS1euCEluJ9qCmlLpXAvswsJCKJVK1toZGBiYF9sJxtrhiSbCCKT5GZcTPvNAFBYWIjc316fLjuuJ37lR27Jly5Ca+q18SSSJxr3SHwCaRuYywc6vKENxsgI6nQ7j4+NoaGgATdMuE55EIsHQ0BBi7HJk2u2gABhsBjz8aR2IIwaFSTH4zdlLsCGIfizhXg+jPOBsOSwU7HY76urqYLFYgkpCcNdjm5mZwcTEBAYHB9Hc3IzY2FgkJiYiKSkpqEnLZDKx1nJZWZlLMkGg6dMifQcU714GgUkLWpkO04V/A52yzO/YhBAIhELQCUWgE4pgW30tYJuFsHcPBJ27UTP4Of4rtOILexMm41pBqT+Bw0LhT//Mx6++9yqoIEkj2kQDfKve7Byby8/Ph9VqZRWoa2trAcAlk82XtcO7zhYYXBENE3QfHh7GqlWr/ErDc+06czgcqK+vx+TkpMfsukgRjadK/6EpM1uZX5gcA6FQgKSkJCQlJbET3vj4OPr6+tDU1ASJRAKr1YbimFykTR5GjE0Mg9iGePUUbqtYje+tSo1YTYw7HA4HGhoaMDMzg/Xr1y94pg4jdioWi7Fu3bqQA/0URUGlUkGlUrlMWsHqsTHp1Ex7bG/k5KvXDqXvRsw/fgiBSQt7UhmMF70CxCYjkF/YU8HmkHUS/7F0YRfdgdE4CYC5CVdMABtFoUsGUJZumOwEweaMRJtoGHL2NKZEImFjO0wmolarZRcOSqWSJR6VSuVyDJ5oFhhcxGiYeIzdbkdFRUVAkxOXFo3ZbEZVVRXbv8bTilcgEMBms3nYOzQwCs2eKv0nj3ZpjFeI52l1OU94ubm5qK6pwd7uaeweFOE7BhnuEwPJdgoGMfCLs+NwUaGrWGYkwSRPAMD69es5L2YNFrOzs6iqqoJarXaxHLiA86QVqB4b4xLOzs4OWhePtXbMk5B9cB0Es+NwJJZi5qLXQMvigAB77TDJJg7iwMHRg3iv6z3sH9kPcrTxdKw4Ft/J+A62ZG3BsoRl0Os78cpnL6I4IxEKSfCZXAtBNAD8Zp15snaYTLb6+noQQqDRaKBQKCAUCiPmOtPr9bjtttvY/jIXXHABnnzyyYC9ADfeeCNeeOEFPPHEE7j99tuDHv+YIRomRhNqiubU1BTbDz4Y9WeuLCnm5Wf00ry9FFxaNM7prsD8Sn9Gkt5XsF43PYu/7a7G7l47BgwAQKNMPCe6WUbR6AJwsGUP8mezXFxskQLT04ZxB0UzfdkTmOcqPT0dS5YsiWgSQiB6bLGxsdDpdCgsLEROTk5oA9F2SP9zEwT6LtDKdFh+8BbEikS/6dPOsR2T3YT/6f+Hbbu2YWh2iD30+uT1uCD3AmxK2wSp8NuFVnJCCe669LGQ781CND0Dgm9LIJFIkJqaitTUVNZroNVq8fHHH+Oee+5BRkYGsrKy8PXXX6OiooIzLbUrrrgCAwMD+PjjjwHMdde88sor8cEHH/jd99///jcOHjw4T3k9GCwaogkkRgOEVpg1NDSExsZGFBQUeBRU9AWBQBC2JTU4OIimpiaX+hxf43FBNM5+d28ZRZnxc8H6oUkz2seMrHS7xe7A4d4p/Lt6AP9r1eJog0fESoX44doMXJcbC/zzCSy1mfGBTITZ2FnExMSwLja1Ws3GFLisCZicnERNTU1UJvVAMDExgbq6OhQUFIQ+qYcBdz22zs5O9Pb2QiwWo6OjAzqdjiV/92xKXxDv2wFhz5cgYjks33vZxV3m/B56Khadtc/ig74P8EbbG5i2z7WeVoqVODfnXFycfzGyYsNXAfCEaBMN846Gs9Bx9hrcfPPNuPjii3HzzTdDq9XikksugdVqxRVXXIFnnnkmrHNtbm7Gxx9/jAMHDmDDhg0AgBdffBEVFRVobW11aeXsjsHBQdx6663YtWsXzj333JDPYdEQjT8wP2gwRVJMN86hoSGsXLkSSUlJIY1rtVqD3g+Ym+yZbqCBxIMAbojGk7y/JyTFSnFSgQZ7OnW49MXDWJIcA7PdgT6dCTaHU6c9jRzfW5WGH6xJh0omBoxqAMDSGS2gTEHnTCcKCgpQUFAAs9nMpu12dXVBKpWypBNO2u7o6CgaGxuxZMkSZGVFZrIKBkNDQ2hubkZZWZlLMsdCYXBwEAMDA1i9ejU0Gg2rxzY6OorW1lbExMSwpKNWq71b1H37INr/BADAetYjIF4C/+4JBQarAf/o+Afe6nwLU9a5GqpEcSKuKb0GW7K2QC6WR5QIIqGk7AtMfIbLxU5qaioEAgGuu+46bN26FVVVVRgcHAz7uPv374darWZJBgA2btwItVqNffv2eSUamqZx5ZVX4q677kJZWVlY53DMEA3zo9rt9oBcM4wf32q1YuPGjSH7PUN1nTEyKCaTKajxwyWaQEmGwR8uLMHP321EVf8UGoe/bWSmlhCclB+PKyrysTLTLdNJkQAiVaPEOg0KFMbN46yKs0wmY1vxOhwOv1lsgVwPI2+zbNmykBYLXIIQgp6eHvT09IQl1Mnl+XR1daG/v98l885Zj81ms0Gr1WJiYgK1tbUghCAhIQFJSUmuWVDmSUg+vBUUoWFfdjkcZZf4Hd/isODdjnfxSssrmLbOWTDJkmScIj0FV6+7GsoYpYubLVgh0EDhcDiiGquLZHdNRlRz7dq1WLt2bdjHHBkZ8dheJDk5GSMjI173e/jhhyESiXDbbbeFfQ6Lhmj8TYiMHEwgkz7TiVKtVmP16tVhrXRCyTpjMn5iYmKwcePGoGTIQyUaJujvqYeMLyTFSvHaNavQOTGLXq0RY8NDkFon8Z31K713EKUo0AlLoBg6jFypBt0WLVr0LdiUtsllM6FQ6DOLzZ+LjbFIx8bGWHmbhQTT5ZU5n4VuTsWcz/j4ONauXes1W0ksFrvEBRg9tt7eXjQ2NkKlUiExMRH59Y9BYBgGHZ8P6+l/8Dk2TWjs7t+NZ+ufxfDsMAAgOzYbW9RbUGArwPq16xETEzMvfTpSvXYWwnUWqe6agWadbdu2Dffff7/PbQ4dOgTA8/zqK9595MgR/PnPf2YzHcPFoiGaQBAI0QwPD7MKwlx0ogw262x8fBy1tbXIyspCUVFR0OOHQjTuQf9gTXqKopATJ8F0fysUMgtWbtzg16dPEoqAocMoFcSgG56Jxn0Mxh8diIuNEIK6ujqYTCasX78+qBhDJMCkUxuNxkVxPjRNs+nd69atC/h8POmxTUxMwN78MRSt74GAQlvpzyCbNECjkXhcpFWNV+HJ2ifRpJ9ro5EkS8INZTcg15iL6alprFm/hj0fX+nTXPbaWYhkAK6JhhASFNHceuutuPzyy31uk5ubi7q6OoyOjs77bnx83GuB89dff42xsTEXzUWHw4E777wTO3bsQE9PT0DnyOCYIxpvgXlCCNra2tDf389pJ8pArSjGxcNUqIeaoREs0Tj3oWf2DxaMEKVMJgu4BoROWAIAKLXasRNAq741qDG9udiYyniKoiCRSLBy5coFn9RtNhtqampACMHatWsXPJ2aKQy1Wq1Yt25dWOcjlUqRkaiCrH0u4Gwo+z+Yklag34Me25BtCE/VPYX9I/sBAAqRAleVXIXLCi5De3M7jLNz3VR9FaoG22uH+bc/LATRRMp1FijRMC5of6ioqMDU1BS++eYbrF+/HgBw8OBBTE1NobKy0uM+V155Jc444wyXz7Zs2YIrr7wSP/7xjwM6P2csGqIJZAXuTYbGarWitrYWZrMZFRUVnOahB+I6Y3qfTExMYN26dWFVqAfjqgs2HuMJTCZXamoqioqKAn55GKIpm9ECCqBF70VkMQA4u9gY7TeJRAKKothAZiSy2AIBU/ukUCiwbNmyBU+nZmKPQqEQa9eu5SQALv7iQQhmhkDH5UB45v0olihc9NgGRwfxZO2T2GPeAxo0hJQQF+ZdiJ+U/QRx4jjU1tbCZrNh7dq1QbuJAe/WTjC9dk5E11mgKC0txdlnn43rr78ezz//PIC59ObzzjvPJRGgpKQE27dvx8UXX8yqGDiDccH6ylLzhkVDNIHAk3XBTExKpZLTvHPnMX1ZGExFOCEEFRUVYSsvB2rRuAdYQ5l8h4eH2bTrYNsSkKNEUzLRC2SnYtQ0Cr1Fj3hp6PIzjGSHc6FhpLLYAsHMzAyqq6uDblYWKTCkFxMT41WbL1gIBg9DXPsaAMC65TFA8m0Rs0KhwIh0BI+OP4oB8wAAYLVyNc6UnIm4qTj0Nfeh2dgMsVgcVG2a13Nxs3aC6bUTqYnfGyJh0QTrOgsGb7zxBm677TacddZZAOYKNp966imXbVpbWzE1NcX52MAxSDTOrrORkRHU19cjLy8vrIZS/sb0ZmEwxXrx8fGcvfj+iM056M9UXwd73UymUl9fH5YvXx5SJhdRZ4KIZFDazchWpKFvdhit+lZsTN0Y9LGAb9OFS0pKkJGRwX7uy8XmcDiCzmILFAzp5eTkBF17FQkYjUZUVVWxLbI5OR/aAcnuewAA9mU/BJ3zbYxNb9Hjz7V/xke9c2rNSfIk3LXqLpyScQoIIdDpdGwmodlsxuHDh0PSY/OGYHvtHA8WjcVigcPhiEiSiUajweuvv+5zG8b97g3BxmWcsWiIJpAHk5n0GTHFvr4+TuMxnuDNlcUkHYRSBOpvPG9EE27QH5hbiTU1NWFycjK8zClKAKIpBDXWgBJJAvpmh9GibwmaaAgh6O7uRm9vL9u3xRvCzWILFKOjo2hoaJhHegsFZkGTkZHBqnxzAVHNKxCMNYBI1bCe8mv2888HPsf2I9sxZZ0CBQqXFl6KG8tvRKx4bqVtsVjQ2trKLrDsdntIemyBwl+vHavVCqvVGnavnWAQCYvGaJwTuOXVmxcYIpEIVqsVR44cwezsLDZu3BhxATp3CyPSJOeNaLgI+rtrhIXb4phOWALBWANKiRifIPg4DdNwTqvVBk16wWaxBXq/+vr60NHREbKlxzV0Oh1qamq4Vx8wjkP89cMAANvJ9wCKRNhpO55teBavt86tfAvVhbhnzT0oTyhndzOZTDhy5Aji4+OxdOlSNmkjWD22cOBMJDabDQ0NDZDJZIiLiws6thMqItVdk6KoBReIjQQWFdFQFOXTfHM4HOjv70d8fDwqKirCXikFAsaiYSb6uro6GAyGiJGcJ6IJpT7GHQaDATU1NZxqhNHJS4Hmf2Gpca5Qr3Uy8Mwzm82Guro62Gw2rF+/PuzYlr8sNqZA0ZuLzblZ2Zo1a6BWq8M6Hy7AWFalpaVh6Ux5guTL34OyTINOWQb7ih9BZ9bh3gP34sj4EQDAFUVX4JZlt0Ak+HaKMBqNOHLkiE9F6ED02JhCUY1GE9ZzaLfbUVNTA4qi2BiRu7XDeCOc63W4IJ1IuM6Y+MxCu2kjgUVFNL4wOjqK0dFRKJVKrF69Omo/BvMwGY1G1NTUQCqVYuPGjRFLcWWIhimm4iKzTKvVoq6uDllZWZzGsuiU5QCApRPdQBwwZBzClHUKaonvSdpsNqO6uhpSqZSzzClnBOtiI4Sw7kRfzcqiiYGBAbS1tUXEshIMHISo4R0AgPXMP6JB34x79t+DMdMY5EI57lt3H07POt1lH6YIOjMzM6hnyF2PjWnw1tLSAqvVCo1GE5Iem81mQ3V1NYRCIVauXMm+p77Sp7ksFo2ERcOoAvBEswBgVpo9PT1ITU2dp0AcaTAP04EDB5CRkYHi4uKI+n+ZY4da6e+O/v5+tLW1RWRVTKfMuVTi9D3ISN+AwdlhtOnbsC5lndd9op3J5c/FxiwYmFXxQtfsuEvceFVnCBW0HZLdc/EY+/Ir8IF1GA/tewh2YkeOMgd/rPwj8lX5LrswyuN5eXnIzc0NeWj3BUCoemw2m41NgV++fLnXCT+SxaKRkLwxGo3HpdsMWGRE4+46Y9wrRqMRGzduhFarhV6vj+o5DQzMpXUySgORBvOgM0WLzGehZJa1tbVheHgYq1ev5n7CAgC5BrQqE4LpAZTKkjF4NCHAG9EwasfMhLUQKzdnFxvTR4Yh8/379/t1sUUSzG82MjISMYkbUdVLEIw3gZbF44X0Ajx76AEAwKkZp+K+dfexAX8GWq0WtbW1nIuZUhQVkh4b05paJpNh+fLlQS1Ugi0W9XXsSLjODAYDb9FEGwaDAdXV1ZDL5Ww8ZnJyMmzJ/kDBBKoZ6YZo9aJnHrKZmZl53fcChd1uR319PSvfEslVEp26HILpAZQ4hPgfgGZ9s8ftBgYG0NraiqVLlyItLS1i5xMomL42cXFxbFA7UllsgYCmaRf3XUR+M8MoxHseAQ3g9yWVeLf1FQDAj4p/hFuW3QIB5fqsjY2NsTGiSP9mgeixxcXFYWxsDEqlEsuWLQvLGg63WDRSWWfHY3dNYJESzdjYGBtTcNYL46oJmT9YrVZUV1eznTj37t0bkfbK7mCsuaSkJBw+fBgKhYJ1NajV6oAmOib+IZFIsG7duognTNBpa4C2nSif0QKYn3nGuD4ZCfuIWFZBwlu6cCSy2AIBk2RiNpv9SriEA8kXD4KyzuDRzCK8O1UPChRuX3k7Ll8yXy+LKeZdtmxZRMsHPMFdj81sNmNkZARdXV2s9dnS0oLExERoNBpOYnzBFotGKhmAd51FCR0dHeju7sayZcvm9fnwJkHDJRilAZVKxWayRIPgnM34FStWwOFwQKvVYmxsDNXV1RAIBCzpeMvWmZqaQk1NDZKSkqJWyU6nrwYAlI+2AkkyDBoHMWWZglqqZqV5pqamsH79+kURZB8fH0d9fT0KCwt9qiGEm8UWKBgdNQBBS7gEA0H/foia/ok3VEq8KjYDAO5bdx/OzZ3fzIpJRPBX1xRNDAwMICUlBSUlJZicnMTExATaPeixcTFR+ysWtf3/9s48rqo6///Pyw6yiLKrKO4CioBKWOpk5ZYIpn1taqycxnLSZqpxKmuW6jtZTU1jv2+l7VpOy1dxTc1dLJdKFkU2FQFlu5d9567n9wffcwIE2e5yzPN8PPzDy72cc7lwXufzeb/fr5dej06nk/5mzdU+raxorERGRgYajYZbbrmlw/1pS1/w1Wq1VENo3VnTm6iAntD67klcpjs4OODv74+/vz8mk4nq6mrKysqkbh3x7lq80InBYMOHD+8yxdOs5x4wAcHOAa96DUOGxnC1sYSsqiyiB0aTlpaGyWSy6F16TygqKiI7O7vHYWVddbF5enpKX+/JFptWq21Tb7CYhYpRj9PB5/ne1YV/DmxZUf4+/Pcdikx+fj55eXltsm1siTi3M2DAAMkRQfThau3HVlZWxoULF3B1dZUaCsyx8my/xWY0Grl48SJ6vR5PT88e13auhyI0VmLo0KGMGDGi0ztESwmNaMkihmu1vwj1NCqgJ8cV74qg86K/nZ0dAwYMYMCAAYwePZr6+nrKysq4evUqmZmZODs7o9VqGTNmjPXTJx3dMPmGYq8+R6ijN1cp4Zz6HMZcI/369ZOFEWVr94G+hpWZa1BUbEQQa0SWXH06pHzM1epLPDMoEBMwf9h8Hhr7UJvnCIJAbm4uhYWFREdH2zz7B1p+RsnJyfj6+nY6t+Pm5kZwcDDBwcEYDAapfbr1ylMUnr7e7IjXCTGPyNXV1azt04rQWAlPT8/rFvsdHBzM3gxgMBg4f/481dXVxMTEdPgHZokVTftJ/+62batUKjw8PPDw8GDYsGGcP3+eiooKPD09ycnJ4erVqz2u6/QV0+Ap2KvPEabVsh84nX+a6WOmd3pxsCbtw8HM3cnVmy02cXtWdMy25M9IVVeC/sSbPOXvQ52digkDJ/Bs1LNtjil2u6nV6usGqFkTcTg0ICCAUaNGddvd3c/PDz8/P2nlWV5eTlFREVlZWbi7u/faj02sNRYXFzNp0qQ228Dmap9uaGiQxaCwJZCV0HRFa68zc/xxijks9vb2TJ069borKXOuaMwxhKnT6Th37pzUsODi4tLGc6q7dR1zYAqeCskfEarJB08oEUoYO3asRY7VE4xGI+np6TQ2NvYoHKy3dGeLzd3dndLSUoYNG2YVs06Hw3/jb14uXHRyYoDzAF6NfRUn+59/z8Vh1aqqKqv8jLpDfX09ycnJDBo0qNcDxq1XnsOHD0en00kOBT31Y7ueyLSmr1k7jY2NsvDWswQ3nNCAeXrYq6qqSE1Nxc/Pr8utC3Nu2ZlDZESXgn79+hEZGSn9LLqq6wwcOBA/Pz+zz4gYB9+CgIrxlfnYeQZTqa+kormCgS62KySLk+Mqlcoq3Xft6WiLLS8vj8LCQlQqFcXFxeh0OovGHdjlHWVbyTG+8RmAPXasjV2Lj+vPQVliSmd9fT2TJk3qsw2QOairqyM5OVmKijAXTk5OBAUFERQU1CM/tu6KTHt60z4tztH8ErmhhEZsYzQYDH0SmsLCQrKyshg9ejTBwcFdXuzNJTQdFf17SmVlJefOnevSyberuo6Xl1ebAnZvEQSBC1c0jHAdgmfTFYY5+3BZW0ZWVRa3Bd7W6+/bF8SVqjlzW/pKZWUlxcXFTJgwAR8fH4t1sUkYmsk5sobX/q/4//iElUT6RkpfFluqtVqtLFJDoaVrMiUlRVrtWYqe+LFVVVVRUlLSI5Hp7JhdtU9fvnyZSZMmmeU9yg1ZCU1XF16xjtHbi77JZCInJ4fi4mKioqK63brZ1xpNd4v+XSF2TY0ZM4bBgwd3+3Wt6zrDhw+nubmZsrIyysrKuHTpUq/mdaDlYiXeEY8dPRPObiTUqOIykF2ZbROhES1uxBZvW9eIAAoKCsjNzW3TiGCJLrbW1J/8F6vd9BhUDvwqcBoPjH5A+ppoRikIAtHR0VZf7XWEaHMjdk1ak8782M6fP4/BYMDb25vKykrs7OzMsrXYXnSgJZjswoULsmjCsASyEpquUKlUvV5diPMKWq2W2NjYHvXb96VG09pFVhTK3tjJiEOPfe2agpYCtviH1du6jhg5IG5Nqa42w9mNhNWU8k0/O85Xnu/TOfYGuYWVdccR2hJxB6aKS/w1fwulrs4EOw3grzEvSj8L0SfMwcGhzbarLamqqiItLY2RI0dav2uyHfb29vj4+FBTU4NKpWLixIk0NDRQWlraIz+27qJSqdiyZQt/+tOf2LVrF3PmzDHTO5EXN5TQwLUpm92hvr5eisC95ZZbejxJ3NsVTet6TF9cYs+fP09dXZ1Fhh47q+vk5OSg1Wo7rOuI9i2tIwdMQ2IR7J2IrNZAvwDOV5zHJJiusTWxFKWlpWRkZFjEPLQ3CIIgZe30xBG6z4OigsCmwys56eqMCypenfH/2gSWpaSk4Orq2mOfMEsh5u2MHj26R6t0SyG2eRcVFUmfm6+vb4/82HrCzp07WblyJV999dUvVmRAZkLTk5TN7lJWVibl0He3TbKvxwTzFP2bm5tJS0vD3t6eKVOmWHwfvTt1HbFravDgwW1rRE5umAbHMLrgO1xUDtTp68ivzWe4l+WNSMWtqYiICHx8fLp+gYUxmUykp6fT0NDA5MmTe11k782g6I8/reN9qgAVz4b+npH9RwEtdauUlBS8vLwsPrfTXUST1bFjx8rm5kAUmY5qMt3xYxNXn93Jlfnmm29Yvnw5n3/+OXFxcZZ8azZHVkLTHbprQyParV+6dImwsLA+/SLb29uj0+m6/XxziIxYaxgwYIBNLgwd1XXEgT6VSkVZWRlAm7qOcdivcCr4jvGCAz9h4GzFWYsKjZh2WlxcLJuwMoPBwNmzZzEajWYtsndni83OrYmX8r5EsFNxj9tw5oW1DGU2NDSQkpIiRTPYeksRfrYCCg0N7ZFLg6UQhzHFbc6uVqAd+bGJq538/HwcHBykLbaO/Nj279/PsmXL+Pjjj7nnnnss+dZkwQ0nNN1ZXRiNRjIyMqioqGDKlCl9vgB1d0VjrqK/+EdoSzv91giCQElJCWq1mokTJ+Lt7X1NXcfHx4egAZMYBERWl/FTfw/OlZ9j4fCFFjmn9j5qcjAjFC3snZyciIqKMnugW2vab7Gpy9WsSfoN1XYqxuhM3Dn8CYqLi3FxcSE9PZ2goKDrdilaE41GQ3p6OuHh4VZzRe+Ky5cvS64IvRlYdXFxYdCgQQwaNAiTyURVVdU1fmxikJ1Go2Hp0qWsX7+eJUuWWODdyA9ZCU13t86uV6MR3YsBaZCxr3SnRtPaeA+6P+nf/ntcuXKF3NxcwsLCZPFHKDrlipP1YldMR3WdDLUOL+cAJjZXAy1CYwnEVYNer5eNj5q4NeXh4UF4eLhVV6D29vZ8eeHfZKsa8DQaeSnsT5g8/MnLy6OxsREXFxccHBxkkeBYWlpKZmamRZJDe0tr6x1zuCLY2dm18WNraGigoqKCl156iRUrVuDs7MzUqVMJCgpCr9fLorXc0shKaLrD9bbOxD78gQMHSkVqc9BV11l7O5neXGRaX9DltA0kzlpMmTKlw9bO9nUdGucTce5jVAIUNhRy+PRhRgSM6PO8johWq5ViECwRA90bxGYTW7VUH8jfw/+WHgfgH/3CCJn4ayorKykoKJC8A60Rd9AVxcXFZGdnS7NEcsDcItMR/fr1o1+/fqxZs4bU1FQWL16MwWDgwQcfpL6+ngMHDnDLLbdY5NhywfZ/pe1on7LZns62sYqLi8nIyGDkyJFm32663orGHPUYMUlUp9N1ekG3NmIjgqOjY7ft61UqFXahcfRL+4gRBiOXHO2pdq2msrKyT/M6ImKtwdvbWzYFbTHbZsiQIQwfPtzqIpNXm8faM68A8LsGAzFxb0tbr62L7JaOO+iKoqIicnJyiIiIkE30gDVERuSnn35i0aJFvPTSS/zhD3+QrnNix90vHdkJTVe03zoTDQGvXr3KxIkTLbIc72xFYw6RaWxsJC0tDVdXVyZPniybO3SxEWHcuHE9uqCbgqIxuQcQ2dTIJUcPCilkUdSiNvM64vyNj48Pfn5+3fJhq66uJi0trUtHBGsixhx3lW1jKZoMTaz57imaBCMxTc0sn/oqpdXNZGRkdFj/sFTcQVdcvXqVixcvEhkZKYvgO2gRmatXr1rFRDQ1NZWEhAReeOEFSWSg5cYsMjKyi1f/MrD9Va2HtBYaca++oaGBW265xWK/MO1XUWLRv692MuLFU3TxlcMdekVFBefOnZO8pnr8vuzsMY6ZT2TOF2zBg7PlZ4HuzeuIF7n2d9bdDSuzJuLcjq2iqQVB4PXkV8lrLMHHYOQVr8kU9YsgJzOzW23elhgU7Qix5iiXfBtoKfxbS2TS09NZsGABq1evZvXq1bK4QbIFshOarrbOHBwc0Gq10jaKi4sLsbGxFrXRaL111r7o31uREaNyR48ebfNpaJHi4mKysrL6PPRoHBvP5LRPAciszKS8qbyNmWP7uk5DQwMajUbyoGvtw1ZVVUVOTo6sOpTEO3Rbzu3szNvJviv7sRME/lmjpSZqFRf/LxWzN84RlkgUbR2iJoeaI7SIzJUrV6wiMpmZmcTFxbFq1Sqef/75m1ZkQIZC0xX29vY0NjZy+vRpBg0aZJWVgLh1Zo6iv9ivf+XKFdkMGLY+J3NY3JiCovHrF8iEZi3nXJw5Xnyce0Z0PCugUqlwd3fH3d1dmtcpLy9Ho9Fw6dIlBEEgICAAZ2dns8VD9JbWPydb3qFnVWXxr5Q3AXiiqoaAcX8ivaTabBf0zrbYxMHd7myxiT8nuYSogXVF5sKFC8TFxfHb3/6WF1988aYWGbjBhEYQBKqrq6muriY8PNxqlhXi1llf6zHifE9NTQ2TJ0+WRcCUyWRqk0dilnNSqTCG3sP07I2cc3HmJ81PnQpNe1xcXAgKCqK2thZHR0eGDRtGXV1dm7qOaPlhTZ8uQRDIyclBo9HY9LOr0dWw5uQadIKeGY1NLHIN57Qw2mIXz55usalUKmm6Pjo62uxBc72ltfBZ+rO7fPky8+fP59e//jVr16696UUGZCg0nX0o4gWxvLwcd3d3q/oiiVtnhYWF+Pn59WpuQzShBIiJiZFF77zY7abX65kyZYpZ51EM4UuISd3AO95wRv0TBpMBB7uuf91E+/qmpiZiYmKkOajWdZ0LFy50WdcxJ+JwaG1trU3DwUyCiRd/eJGSxhIG6Q28VK0jLfxhJvXAS62vdLXFJsaKR0ZGykZk8vLyJJGx9DkVFBRw9913k5CQwJtvvimLuqscUAnXK4jYAIPBcE0rsVarJS0tDaPRSHBwMAUFBdx6661WOR/Refnq1auo1Wpqa2vx8vKSImO7c9ERu7i8vLzMOt/TF8TMFldXV8aPH2+Rbjf7LxYwy66YSnt71k1bR2xA7HWf39oReuLEiZ3W3QRBoKGhgbKyMjQaDXV1dWbL12mP0Wjk7Nmz6HQ6oqKibHqD8EnmJ7yf8T5OJoHNJaVohz9F8KzfyyKwTBTjsrIyXFxcaGxstFgXW0/Iy8ujoKDAKiJTVFTErFmzuOuuu9iwYYMiMq2Q3YqmPbW1taSkpNC/f3/Gjx9PdXW12dIur0f7on9wcDBDhw5Fq9Wi0WgoKyvj4sWL9OvXTxKdjoz0ysvLSU9P730XlwWora2V0kXHjBljuT+I8F8z66f/5itPDw5c2X9doREn693d3bsMK2td1wkJCWmznZObm4uLiwt+fn69ntcREVM67ezsbD4c+oP6Bz7I+ACAv1RU4uU9HdfZj8vCFUHcVqyuriY2NhZXV9drttjEMDFrDopaU2RKS0uZN28eM2bMYP369YrItEN2Kxqj0Si1L5eWlpKens7w4cOli3RNTQ3JycnMnDnTYufQ3aK/Xq+XCtcVFRXSH5Ofnx/9+/ensLCQCxcu2KwFtiPEVmExYMqiwqdrJOvjSTzs40E/O2f2JhzAxf7au++6ujpSUlLw9/dnzJgxfTqn1vM65eXlva7rNDc3k5KSgpubG+PHj7fpKrS0sZQHDz5Ija6Ge+rqea7eCd0jR3DsZ/uZFEEQpBpfdHR0hyv81lts5eXlVhkUtabIaDQa5s6dS1RUFJs2bZLFLJzckOVPRAyMys/PZ8KECW3aWs0Vq3y9Y3d3PsbR0ZHAwEACAwOlPyaNRiO59wqCwMiRI2XXlms1x1wnN8JHLSKgbC+lDnCy5CQzB7e9QRDndoYNG2YWR4fO5nV6UtcRW+d7M7BqbnRGHc+fep4aXQ3jtDqeq6jGtCRRFiIj1k1ramqYNGlSp1t45uhi6wnWFJny8nLi4uIIDw9n48aNish0guxWNKKXVW1tLVFRUdf8ojQ1NZGUlMTs2bPNfjdujkl/0R+soaEBb29vqqqq0Ov10hS8j4+P1X8ZWyc9RkREWHU6W1V5mfWJd/Npf0+ivcN4785PpK+Js0TWCCvrbl1H3KqViwPBGylvsDV3Kx5GE18Xl+AX8zTGW5+26TlBi8iIMd7R0dG93sJrvcVWWVnZ5y22/Px88vPzrSIyVVVVzJ8/n+DgYLZs2SKLBh+5Ijuhyc/Pl+xkOvrgdDodR44c4c477zTrBVtcxfRFZJqamkhLS8PJyYkJEybg6Ogo3cGJdZ2GhgYGDBgg1RAsvccutlTX1tYSGRlpte6k1lRuuZc4oQCDSsUHt39AhE8E+fn5XL582WYGi1qtlrKyMukC5+LigoeHB+Xl5YSEhBASEmL1c2rP/iv7+dsPfwPgnVINt/pNQXfvF2Bn22YSMditsbGR6Ohos11g+7rFJopMVFSUxWd3ampqiIuLw8/Pj+3bt8uiViZnZCc0RqMRnU7X6Z2MyWTiwIED3H777Wb5cNtnyPTG3h9afvHS0tIkB9/Ozr/1XbXYwSbWdcydqaLT6aTI2c6E2xrYFXzPa4cfI9HDnRifKFYGPUlpaSkTJ06UxcS4wWCQ5izs7Oyws7OT7qqtPa8jcrnmMssOL6PZ2Mzy6hpW6VxofvgQ9LPtgK/Yfq7VaomOjraYI0frLbby8nLq6uquu8VmTZGpq6sjPj4eDw8Pdu/eLYuuP7kjO6ExmUzo9fpOvy4IAgcOHGDatGl9vjCbY9IfQK1Wk5GRwYgRIwgODu62UIl31RqNhsrKyi472HpCY2Mjqamp3erisjiCQNnmWSQ412BQqVgxYAVLYpfIIqwMfnYWDg8Px8fHh5qaGmkFas15HZF6fT0PH3yYqw1XiWlqZoO6HMOSLZiCp1r82NdDbPU2GAxERkZa1PapPdfbYqupqZFqMpYWmYaGBu655x7s7e3Zs2ePTXYIbkRuOKEBOHToEDExMX3agxWL/kajsddbZWJcdF5eHuPHj++Tc7TYwSbewTk6Okqi079//x6dn2jWGRgYyOjRo21eZwAQMrbz9qkX+NLLg3Feo/n0rs9kcV7i5xcREXGN9U7ruk5ZWRm1tbV4enpK256WuMgYTAb+cOwPJFck428w8r9FJbhPXY1h6lNmP1ZPMBqNpKamIggCkZGRNi16t95iU6vVGAwGvL29CQoKsmjcQVNTE4sXL0av17Nv3z7ZDKTeCMiuRcIcKZtdYY6iv9hxU1lZyeTJk/v8S3e9DjZA2l7rylJfXF3Jyem4ubmZ1Bpflurc2WEykVVzgSNFR7hj8B02OydBELh48SIlJSWd3gm3n9dpXdcR53XEz6Uv8zqtz+nlUy+TXJGMi0ngbXUZnsPvQhf7xz59375iMBhITU1FpVIRFRVl84FjsYutsbERQRAIDw+nsbHRYl1s0PI7/Otf/5qmpib279+viEwPkd2KRhAEdDrddZ/z3XffMW7cuF4Vkc1R9BdrH0ajkcjISIsWAk0mk7SVo9FopA42sUAqbl+0joEODw/Hz8/PYufUE1pn24xXXeST759jvbcXQ/oN4qs5/9stWxpzYzKZyMrKorKykujo6F5t4bWf1wH6XNd598y7fJb3GXYCvK0uY3q/YJof+AacbeeJJw6tOjg4EBERYXORESkoKODy5cvX3CSYu4sNWra4f/Ob36BWqzl48KBsMnVuJG5IoTl58iQjRozo0XyKuYr+DQ0NpKamStnw1jZ27KiDzdfXl9raWsrLy2VTYIeft/AGDx7MiBEjUCFg3Hgn811rqbS355moZ1g0YpFVz8loNJKenk5TUxORkZFmKeS2vhnobV3nf9P/l39l/wuA58sruU/vQPPSfQjew/p8fr1Fr9eTnJyMs7MzEyZMkL3ItMccg6J6vZ4HH3yQ/Px8jhw5YvF00OPHj/PGG2+QnJxMSUkJ27dvJyEh4bqvSUpK4umnnyYjI4OgoCCeeeYZVqxYYdHz7Ck3xdZZ+6J/b0WmsrKSs2fPMnjwYJvMWLR20h05ciSNjY2o1WouXbqEwWDAw8ODqqoqHB0dbV5o12g0nD9/nlGjRrXK21HhNO05Hju4kld9BrAh/T3uGHwH/Z37W+Wc9Ho9aWlpCILQ7Xjq7mBnZ4e3tzfe3t5Svk5ZWRlFRUVkZWV1WdfZl7mPddnrAHioppb76hvR3vuFTUVGp9ORnJwsOSPIxVJFFJnudJf1dVDUYDDwu9/9jkuXLnH06FGrRFA3NDQQERHBsmXLWLSo65uwvLw85s2bx/Lly9m8eTMnTpzg8ccfx9fXt1uvtxayW9FAyy/59U4rOTkZX1/fbtUgzFGPgZbOpOzsbMaOHcugQYN69T3MjWg2amdnx7hx46iurm7TwSbWDzw8PKwqiqL1TodbeIKA/df3cr8hlwvOTsSHxPP8pOctfk7iILC17847mtcRL279+/fnUNYhXsp4CT16ZtU38EZZBYaZL2GY9KhVzq+zc05OTpY6FuUoMn1dtYtbbOXl5W3soxwdHQkKCsLJyYkVK1aQnJzMsWPHrOOk0Q6VStXliubZZ59l165dZGVlSY+tWLGCs2fPcurUKSucZfeQ3YqmO3TXhsYcIiMWjYuKiswSCmYuxNpH//79CQsLw87OTopPaN3BdubMmT51sPUEQRCkLPZO8+FVKkwzX+aFr+7moUA/dubtJC4kjvEDx1vknKClWyg5OZn+/fsTGhpq1Quns7OzZKtvMBjaNHlc1V3lw5oP0aPn1qZmXi2rwDjpUZuKTHNzM8nJyXh5eVn9Z3U9rly5YjaRgc7jDl599VV27NjByJEjpZqMLUSmu5w6dYpZs2a1eWz27Nl8/PHH6PV6q7agXw95/Bb1kO5snYmty30NKjt79ixlZWVMmTJFNiJTWVnJTz/9RGBgYId3nGIH24QJE5gxYwZjx47FYDBw9uxZkpKSJDt3c3rGiV14JSUlTJ48+boFU8EvlPFjFhNfVw/AP5Nfx2DqfRfh9airq+PHH3/E19dXEmRb4eDggJ+fH2FhYZgGmPik9hO0aIlq1vFvdRk1/tPJH/07tFqtTc6vqamJM2fOtLl5kQNik4ulIqHFLbbQ0FA2bNjAokWLaGxsJCAggKioKKZOncrmzZvNflxzUFpaek2t2t/fH4PBIDWpyIFf3IqmfdG/tyLT3NxMWloaDg4OTJkyRTZ3BqI/2JgxY7oV/tZ+n1rcXsvOzu60g62niNPizc3NTJ48uVsFdv3053nqk2856mbkQs1FPsr8iBXh5i1gVldXk5qaytChQwkJCZHF3I4gCBw+e5hXc1+lUWgkXG/i3VI19oFTKLvlZTTFJWRl50j1Az8/P6sMBTY2NpKcnIyPjw9jx46Vxc8KLC8yrTGZTKxZs4akpCSOHj3KiBEjKC4uZu/evbK2mGn/WbWuRcsFWQqNSqW6bo3GwcGhw6HO9hkyvS3619bWkpaWxsCBA23u3isiDofm5+cTERHRq9ZulUrVpmhdX1+PRqMhPz+fjIyMXnmw6XQ6UlNTsbe371mB3dUb99tf5q9HV/NnPx82Zm0k0jeSGP+YHr+vjhDjENo2I9gWk8nEnuQ9vFXwFo1CI6MNAhuKi3HzGUvz4k0Mc/FiGG3rOpcvX76mrmPuC0hDQwPJycn4+/vLZsAXrC8yf/3rX9mxY4ckMgBBQUH87ne/s+ix+0JAQAClpaVtHtNoNDg4OFileaG7yFJousLe3p7m5uY2j7Wux6hUql6Lg9gtFRISYhbbenNgMpnIzs6mvLycSZMmmWVYTKVS4eHhgYeHByNGjKCxsRGNRkNJSQnZ2dlSp9T1PNjEsDIPD49eJYcaxyVwV+ZW7qlNY5uHO8+dfI73b3+f0f1H9+m9iau+8PBw2UQ0mEwmtv6wlXeK3kEraBlvEFhfVIiHVwjaxV+Ay88X0tZ1HaPRSEVFxTXDu+byYauvryc5OZmgoCBZuFWLWFNkBEHgH//4B19++SVHjhxh9Oi+/f5Zk9jYWHbv3t3msQMHDpi1q9IcyLLrTK/XS6uSjsjPz6eqqorIyEjAfEV/saslLCxMNhcoMXZAzGG3hoFfRx5s7TvYxJTOvoaVqepKUW2cye+9HDnj6oKPiw8fzvyQoH69iw24cuUKly5dIiIiQjZ3dEajkf+c/A8fqD9AL+iZrBf4n6JCXPuHoL0vEcGje8VmcetT/Gy0Wq20CvXx8enx9k5dXR3Jyck/zznJRGSuXr3KpUuXiIyMpH///hY9liAIvP7666xfv54jR44wfrzlmlK6Q319PZcuXQIgMjKSt956i9tvv50BAwYQHBzMmjVrKCoq4rPPPgNa2pvDw8N57LHHWL58OadOnWLFihV8+eWXSntzVxgMhusWqgsLC6Wis7nsZLKzsykrK5PVwGNzczOpqak4OTkRERFhE38psaio0WgkDzYPDw8qKioYPny4WVZ99hf2ot31Ox4O9OeikxOD3Qfz3oz38Hfr2UBubm4uhYWFREZGyuYz1Ov1fHLiEzaWbcSEiek6eKv4Co79h6O9byuCR++SVzvzYWvtBH69z0XM3REjxuWCtUVm3bp1/Otf/+Lw4cPSjastOXbsGLfffvs1jz/00ENs3LiRhx9+mPz8fI4dOyZ9LSkpiaeeekoa2Hz22WdlN7B5QwpNSUkJBQUFTJkypc92Mnq9nnPnzqHT6ay2YugOdXV1pKamyqpOZDKZuHTpEgUFBdjb20t2+t3xYOsKx/1/pvL8lzwYFEixgx2D+g3ivV+9R4Bb13f7giCQlZVFeXk5UVFRuLvbzrKlNU3aJt5KeovdNbsREJjTbGJtSSH2/UPQ/jqx1yLTEV3N67T+26ipqSElJUXaHpYL1haZd999l1dffZX9+/czZcoUix7vZueGFBq1Ws3FixeJiWkpHPe26N/Y2EhaWhqurq6MHz9eNjGsYryx3LqlxK1F0elY7GArKytDp9MxcOBAaRunx/vDBi3OXy5EXXaORwYNptBOINAtkPd+9d51t9HEEK6GhgaioqJkc6NwqeISL3z/Avm6fADuadDyN40a1cBRaP/rKwQPyyWKinUdUXjg57qOvb09586dkyIt5IK1RebDDz/k73//O/v27WPqVNvGL9wMyFJojEZjp3MygiBQU1PDDz/8gJeXF/7+/vj5+fX4AlNVVcXZs2dlZaUPPzsQhIaGEhhovjveviAIAhcuXKC0tJTIyMhrrD8EQZA62DQaTRsPNj8/v27XDlS1Rbh8Nhu1tprfBg/jKnoC3AJ4d8a7DHa/tpVbnA0S81HkEKVrEkz8J/M/vJ/5Pnr09LNzYnWZhkW1tZgG34L2nk/Bpb/Vzqd1Xae0tBStVou7uztDhgyxSsJrd7C2yGzatInnnnuO3bt3M2PGDIseT6GFG0poWtdjdDqdVBStrq7uVpeUSHFxMVlZWYwePVo2ra+tp+o7ykaxFWIUdF1dHZGRkd3yUGtsbJQ+m5qamh5luNgVncH563vRCHoeGTqSAqGJgS4DeXva24zqP0p6nthWLboK23o1KggC35d8z/pz68mtywVgirM//30phSCDEcPYeHTz3gYH21zYKyoqSEtLk1bI7es65rTU7wmFhYVcvHjRaiLzn//8h6effppdu3Yxc+ZMix5P4WduGKFpbYzZfqtMp9NJd9OVlZW4u7u3Saps/T3Ei/mECRNk05VkMpnIyMigurqayMhI2dQY9Hp9mziE3qwYWtcOKioqcHNzkz6bzjzY7C9+i9OOR6iwg0dDxnLRWI+Howdv3fYWE3wm0NTURGpqKv369bO54aPBZOBY0TG+uPAFGZUZALjaufAUA7gv9zQqQD/59+h/9RdQ2eY8y8vLOXfuHOPGjWuzSu5JXccSWFtktmzZwqpVq9i6dStz5syx6PEU2iJLoWmdsilO+ne36K/X66W76YqKClxdXaW6QUFBAXV1dUycOFF2F3Nx+0cOWxnwc8ebi4uL2UwoO+pgE7fX+vfv30Yw7M99ifO3T1Njp2Ll8HDOGmtwtnfmD6F/wFfdcjEcN26czbY8K5or2HF5B9tzt1PW3FIHccSR+d6xPFlwigEVuQh2jujv+G8MkQ/Z5Bzh58HV0NDQ63p2Xa+uY455nfaIxqtRUVEWFxmA7du38+ijj/LVV18RFxdn8eMptEXWQtPXSX/xwlZaWkpZWRl2dnYEBQURFBSEp6enzesy4p25q6urrPI+WoeVWarjzWQySQaTZWVlCIJwzYXN/tyXOH37J5pU8NTwME6aagGY4DGB/5723wT0s67ZoSAInK88z9ZLWzl09RAGoWXV3d+xP1H2kaxwcWfsuY9QGbWY3APQxX+IadAkq55ja9RqNefPn2f8+PE9CsJrXdcpKyujublZqrmZo64jikynxqtm5ptvvmHZsmV8/vnn3HPPPRY/nsK1yFZodDpdmwyZ3l7s6urqSEtLw8vLCz8/P8nV2N7eHj8/P/z9/a2yTdCempoa0tLS+jzwaG6qqqpIS0tjyJAhVhviaz+I2LqDLVCThOvBP2M0GVjvO5xPPUAvGHC1d+U3Y37D/WPux83Bstk7WqOWQ1cPseXSFrKqfrZjDx8Qzmy/2QRe1TOtYituJacBMA6fiXbu29Cv5zZB5qKkpISsrCzGjx+Pr69vr7/P9eZ1elPXsbbIfPvttyxdupRPPvmEJUuWWPx4Ch0jS6EpLy+X7pr6kiFTXl5Oenq6NJQmfp/Wd9MajQaVSoWvry/+/v69jnvtCeJ2xvDhwxk6dKhsREa03xk9enS3DDstQUcdbIN1uYzPfB1HUxO5XoH8fehoztblATDQZSDLw5YTNyzO7LHQpY2lbMvdxs7LO6nWVQPgZOfEXUPu4t6R99K/qR9NSf9DaGkidoYmBHtn9L/6K4ao34INP9Pi4mKys7Mt4o7Ql7qOtUXmyJEj3Hfffaxfv57f/OY3svk7uxmRpdDcf//9HD16lLi4OBYuXMitt97a464i0Yqkq71pk8kkzYOo1WpMJpNUrO7rEGJHXL16lYsXL8rK5gZ+Pq8Ow8psSG5uLnl5efhSQXjG63hoSzBhx+7x8awXSihqKAZgmMcwHhr7EDMHz8TFofezNAaTgR/VP7IzbyfHi45jomXb1t/Vn0UjF7EgZAHezt5U/pSI16lX8WguAsA4OAbdnH8hDBjR9zfdB8SL+cSJEy3eudhRXcfHxwc/P79r6jpFRUXk5ORYTWSOHz/Ovffey9tvv82yZcsUkbExshQanU7HkSNHSExMZOfOnQDcfffdLFy4kOnTp1+3+8lkMkkzHxMnTuxRoVGc0VGr1Wg0GslG39/fHx8fnz6JjhigVlxc3OPzsiStrVvkdl55eXkUFBRIXUm6+irs9q7GM38vANWuQWwacyf/25hCrb6lfuPm4MbMwTOZMWgGkT6ReDh1bUAqCAI51TnsK9jHgSsHqNRWSl+b5DeJe0fey22Bt+Fg54Bd4Y8YD71MP01yy2tdvdFNW4Mx4gGbdZWJiPMoEydOtMrFvDXXq+sYjUZyc3OtJjKnTp1i4cKFvP7666xYsUIRGRkgS6FpjcFg4Pjx42zdupUdO3bQ3NzM3XffTUJCArfffnubQU29Xk96ejrNzc1ERkbi6ura6+OKGePiSqe5uVm6W+vp5LvRaOT8+fPSLIo18kW6g8lkIisri8rKSlm1VQuCQE5ODmq1mqioqLZu1YKAfc43OB7+C3YNGgDyvML4xH8c33OZcv3PYU922BHsEcwQjyEMcR/CQJeWbSRne2eaDc1Uaiu5XHOZ3JpcqXMMoL9Tf2YFz2LhiIUM9xwOJiP2l/bjcOZD7Atb6jCCnSOGyAfR37raqgOYnSG6NlijVbg7NDQ0oNFoKCoqoqmpiX79+hEYGGjxeZ2ffvqJ+Ph4Xn75ZZ544glFZGSC7IWmNUajkRMnTpCYmMj27dupqalh7ty5JCQkMHToUJYtW8bzzz9PfHy8WS2yxYKouNJpaGiQitW+vr7XXWHpdDrS0tIAmDhxoiym18E2rtDdQZwpqqmpITo6uvObheYaHL//Jw5pn6MytbTC13qHss87gsNOOi4LV1Dr1N0+rpOdE9OCpjFv6DxuCbgFB5U9qooLOGRsxT5zG3Z1LVt0JpU92nGLYfpqBE/b1LHaI678oqKirnFtsCXidllYWBgGg0Gac3N2dpb+dszZiJOamsr8+fN54YUX+NOf/qSIjIy4oYSmNSaTiR9++IHExES+/PJLKisrmThxIo8++ih33323Re/Oxbs1jUZDXV0d3t7eUl2ndetnQ0MDqampeHh4EB4eLpv25dZhZREREbLJrWid1BkVFdWtNlpV9RUcT/4L+8xtqP4vDtrk4Eqt3xTOu4Rw3tGdKi83ah3r0dvrsbOzo8nQhJuDG/2d+zPEfQgjvUYy0msE/RorsStJw+7qKezzjmBXXSAdx+DowRW/O+h/12pc/GxbhxERBIHLly9z9epVoqOjzZJTZC7EhoT2taKe1HV6Qnp6OvPmzeNPf/oTa9assYrIvPfee7zxxhuUlJQQFhbGunXrmDZtWofP7cyVOSsri7Fjx1r6VG3ODSs0Il9//TWPPPIIK1aswMHBge3bt3P16lXuvPNO4uPjmTdvnkVnZpqamiTRqampkdqoXVxcyMrKIigoiFGjRsnm7qqxsZGUlBQ8PT0JDw+XhSs0tGx7pqamolKpmDhxYs/Fr16Nw9n/4JD+JXa1hW2+ZLR3pdHFn3qHAajcBuDs3h9XV1ccTDrQ1mJXcxVVzVVU2po2rxPsnTAO+xWXPaZQ6BbGxEm3yGblJ9bWioqKiI6Ols22J3QuMu0x17xOZmYmc+fO5fHHH+fFF1+0yt/a119/zdKlS3nvvfe49dZbef/99/noo4/IzMzs0KxUFJqcnJw2q07R6PSXzg0tNEVFRURGRvLpp59y9913A/83VHf+PFu2bGH79u1cuHCBmTNnEh8fz/z58/H29rbYL6JWq0Wj0VBYWEh9fT0uLi4MHjwYf3//bnmEWRoxrCwgIEBWRqKiC4Hoot2nPzxBQKVOx+HiPuwKf8CuNA2Vvql7L7VzxOQ7DlNQFKaQ29ENuoVz2blotVqioqJks+0pNpaUlpYSHR0tm5ofdF9kOkKc19FoNN2e18nJyWHu3LksW7aMtWvXWu13OiYmhqioKNavXy89Nm7cOBISEnj11Veveb4oNFVVVbKooVmbG1pooGWKvbO7OUEQyM7OZuvWrWzfvp3z588zffp0EhISmD9/Pr6+vmb9xWxtpT9u3DhMJpNkhdOvXz9pQNQW5oWi35UYViYXGhsbSU5OtpwLgcmAquoyquqr2NVeBV09Kl0jRqOBep1ATbORCr0rRs8huAePxydgMJ6enhiNRtLS0jCZTERGRspme1FslCgrKyM6OloWNzAifRGZ9mi1Wmm4uqKiAmdn5zYprw4ODuTm5jJnzhyWLFnCm2++abXVuU6nw83NjS1btrBw4ULp8T/+8Y+kpaWRlJR0zWtEoRk2bBjNzc2Ehobyl7/8pcPttF8iN7zQdBdxqyExMZFt27aRkpLC1KlTiY+PZ8GCBQQGBvbp4m8ymcjJyUGj0VyT0qnX69t4fLm4uEii05mxpDkR3arlFD0AP6+wAgMDbbq9aDAYqKiokD4fe3t7BEHA2dmZ6OhoWYmM2CV43UYJG2BOkWlP67pOTk4Oq1atIiYmhpycHGbPns369eutugVcXFzMoEGDOHHiRJssm7Vr17Jp0yZycnKueU1OTg7Hjx8nOjoarVbL559/zoYNGzh27BjTp0+32rnbiptGaFojCAJXrlyRROf06dPExMSwYMEC4uPjGTJkSI8uemIRu6mpqcu2aqPRSHl5OWq1WjKWFEXHy8vL7Cus/Px88vPzZeVWDVBZWcnZs2dll/LY1NTEmTNngJabB0EQzFKs7iuCIJCZmUl1dTXR0dGyqRWBZUWmPQaDgW3btvE///M/XL58maamJqke++tf/9oqtSpRaE6ePElsbKz0+CuvvMLnn39OdnZ2t75PXFwcKpWKXbt2WepUZcNNKTStEQSB4uJitm3bRmJiIidOnCAyMpL4+Hji4+O7TLjUarVtclF6Ol/T2gpH9F/ryM24N++r01kUGyNa3YwZM4ZBgwbZ+nQkmpqapEaJsLAwVCoVNTU10uej1Wrx8fGR6gbWWumILd91dXVER0fLxuEbfvZUs4TdTWfHmzNnDrfddhsfffQRly5dYufOnezZs4ddu3a12UmwFL3ZOuuIV155hc2bN5OVldX1k29wbnqhaY0gCKjVanbs2EFiYiJJSUmEhYVJotO+gC4adnp7exMaGtonYTCZTFRVVaFWqyU349ZWOD353uKAaH19PVFRUbLaYhFnK+RmddPQ0EBKSgo+Pj6MHTv2mpsLcZZKFJ36+nqprd3X19diKwyTycT58+elqOqbWWTUajVz584lOjqazz77zKbdWjExMURHR/Pee+9Jj4WGhhIfH99hM0BHLF68mMrKSo4cOWKp05QNitB0giAIVFZWsmPHDrZt28ahQ4cYNWoU8fHxLFy4kNzcXNauXcsnn3zS4YWpr8eurq6WBkSNRqNUCO1q+0av15OWloYgCLIaEAXIz88nLy9PVgmi0HLDkJKS0qNaUVNTU5uEVw8PD+nGwFxdYCaTqc1ckZw+S2uLTHl5OfPmzSM0NJQvvvjC5omqYnvzhg0biI2N5YMPPuDDDz8kIyODoUOHsmbNGoqKivjss88AWLduHcOGDSMsLAydTsfmzZt57bXXSExMvCmiC2z7ackYlUrFwIEDeeSRR/jtb39LTU0Nu3btYtu2bbzxxhuoVCri4+PRarVS6qc5j+3t7Y23tzdjxoyhtrYWtVrNhQsX0Ol0baxwWv/BNTc3k5KSIrt8G0EQuHTpkjTzIafp9ZqaGlJTUwkODu5ym7Q1rq6uBAcHExwc3CZW/PLly7i6uko3Br2d4RLrfjqdTlYNCWB9kamsrCQuLo6RI0eyefNmm4sMwJIlS6ioqODll1+mpKSE8PBw9u7dy9ChQ4GWn9GVK1ek5+t0OlavXk1RURGurq6EhYWxZ88e5s2bZ6u3YFWUFU0PEASBV155hTfeeIOVK1dy8eJF9u3bh5+fHwsWLGDhwoVER0dbrANGtNAXVzpNTU2SFY6bmxvnzp2Ttn7kMojZ2k8tKipKVjMflZWVpKWlMXLkyA6H7HpDRx1s4vZadyMoxNZqMUL7ZhaZmpoa4uLi8Pf3Z9u2bbLaOlToPorQ9IDExESefPJJ9u7dy/jx44GWvf1vv/2WxMRE9uzZg5eXFwsWLCAhIYGYmBiLrirE3Jbi4mKamppwdXVl2LBh+Pn5yWKbxWg0kp6eTmNjI1FRUbLqlBIzgSzZkCDmHomrHZPJ1OUWqMFgkLY+IyMjZXH3LmJtkamrqyM+Ph5PT0927dolq98fhZ6hCE0PMJlMVFRUdJpY2NTUxMGDB0lMTGT37t24uLhImTpTp061yEVDjOsNCQnBzs5Omqru37+/VDOwxR+oeMGU28Aj/PwzCwsLu25WkTkRIyhad7C1NmZ1dHTEYDCQmpqKnZ0dEydOlM3WJ1hfZBoaGrjnnntwcHDgm2++kdVKWKHnKEJjIcRMna1bt7Jz505UKhXz588nISGhy0yd7iKGu7WP621ubpbiDWpqavD09JRmdazRgabT6UhJScHJyYmIiAhZXTDFrre+Rhz3hY462Ly8vGhubsbFxYWoqChZ/cxKS0vJzMxkwoQJ+PhYPp66sbGRe++9F4PBwN69e2XVmq/QOxShsQIGg4GkpCQpU0er1TJ//nzi4+OZOXNmj/edWxfXuworE6N31Wo1VVVVuLu74+/vb9buqNY0NTWRnJyMl5cXYWFhsqkVQYsw5+bmyq7rrba2Vlr9GQwGqYPN19fX5maZ1haZ5uZmlixZQl1dHfv377fKXIyC5VGExsqImTqi/1pdXR1z584lPj6eO++8s0vvKpPJRGZmJlVVVT0uruv1ekl0KioqcHNzk0TH3d29z51z9fX1pKSk4Ofnx5gxY2Rj2tk6rTMqKkpWFy+dTkdycjJubm6MHz8eg8Eg1XQqKyslu6K+dLD1FmuLjFar5YEHHkCj0XDw4EGrp4QqWA5FaGyImKkjik5ZWRmzZs0iISGB2bNnX3M32zqsrK/DewaDoY0VjrOzsyQ6vbmgVVdXS23Cw4cPl5XIXLx4kZKSEtk5JGi1WpKTk/Hw8Ohw9ddRB5vYTNDdDrbeYm2R0ev1PPjggxQUFHD48GFZ2SUp9B1FaGSCyWQiJSWFrVu3sm3bNgoLC7nzzjtJSEhg7ty51NbW8uc//5knnniCmJgYszYWiKaFoug4ODi0scLpSjREZ+hRo0YxZMgQs51XXxHdu8vLy2XXWt3c3Nxmi7Grn7HoHCHWdcQONl9fX3x8fMxa0xGbJSIiIqwiMgaDgd/+9rdkZ2dz5MgRWTlGKJgHRWhkiMlkIj09XVrpXLx4EU9PT8aMGcPGjRv77DTd1bHFu+iysjJUKpUkOh3dRZeUlJCZmWnVDq7uIPqD1dbWys6GR6xjidEIPf0sxQ42cYutublZ6mDz8fHpU6OJWq0mIyPDas0SRqORxx57jNTUVI4ePSqr3yEF86EIjcz58ccfmTt3LuPGjaOhoYGMjAxmzJhBfHw8cXFx+Pj4WFR0Wt9FC4LQZg6ksLCQS5cuWa3ltbuI1i1NTU2y8wcT83d8fX3NUsfqqIOtt63tthCZJ554ghMnTnDs2DFZGawqmBdFaGRMeno6U6dO5eWXX+app56Sus3EeIPU1FRuvfVWKVMnICDAYqIj+q+1ngMBGDFiBMHBwbJpx5XzVH1DQwPJycn4+/tbLOG0vQebu7t7Gw+2zo5pbZExmUw89dRTHD58mKNHj0rWLQq/TBShkTFih1pHwUhimqcoOj/88AMxMTGS0/TgwYMtciETw7c0Gg2+vr5UVVVJ9vliS66tptn1en2bgUc5TdXX19eTnJxMUFAQI0eOtEqzhE6nkwL3KioqpA42X1/fNtlHYk1mwoQJVhOZZ599lt27d3Ps2DGGDx9u8WMq2BZFaH4BCIJAUVGRlKlz8uRJIiMjSUhIID4+nmHDhpnlwiZa1tfV1Ul1D9F/TRwQbWxsZODAgfj7+1s1s0UcEnV2dpaVoSi0WKkkJyczZMgQm3XkiYF7ZWVllJWVSR1sjo6O5OfnExERYTWR+ctf/sKWLVs4evQoo0ePtvgxFWyPIjS/MMRMne3bt0uZOuHh4ZLo9DYyWWyt1ul017WsF+sFarVaymwRRcdStRLRtdrd3Z3w8HBZDYnW1taSkpLC0KFDCQkJsfXpAD/X3goKCqioqGhj/GnuDrbWCILAyy+/zKZNmzh69Cjjxo2zyHEU5IfNhea9997jjTfeoKSkhLCwMNatW8e0adM6fX5SUhJPP/00GRkZBAUF8cwzz7BixQornvGNgyAIVFRUsHPnThITEzl8+DCjR48mPj6ehISEbnc86XQ60tLSsLe3JyIiottbUk1NTZLo1NbW4uXlJc3qmMt/rbGxkZSUFCl8Ti7zO9DiPJySkiK7uGpoSTlNT09n/PjxODs7S7U3c3awtUYQBF577TU2bNjAkSNHJFNahZsDmwqNGB703nvvceutt/L+++/z0UcfkZmZ2aFte15eHuHh4SxfvpzHHnuMEydO8Pjjj/Pll1+yaNEiG7yDGwexmL97924SExM5cOAAQ4cOleINxo8f3+FKQFwt9OvXr9PndIfm5mbJlaC6ulryXxMjDnqDWPcICAiwWHG9t1RVVZGWliY1S8iJ1iLTemZF7GATmwnq6uqkDjZfX99et4gLgsC///1v3nrrLQ4fPkxkZKS53kqXKDey8sCmQhMTE0NUVBTr16+XHhs3bhwJCQkdxqE+++yz7Nq1q03G9ooVKzh79iynTp2yyjn/UqitrWXPnj0kJiby7bff4u/vL4lOVFQUdnZ2nD17luzsbMaPH9+reY/O0Ol00h10ZWVlm86o7np7iVtStqx7dIaYczN69GgGDx5s69NpQ2ci0xGiOWtPO9haIwgC77zzDq+99hr79+9nypQp5norXaLcyMoHmwmNTqfDzc2NLVu2sHDhQunxP/7xj6SlpZGUlHTNa6ZPn05kZCRvv/229Nj27dv5r//6LxobG2XVynoj0dDQwL59+6RMHW9vb2bMmMHOnTv53e9+x8svv2yxC7novyZ2Rrm6ukoXMw8Pjw6PK64W5LglVVFRwdmzZy2ac9NbeiIy7eluB1trBEHggw8+4MUXX2Tfvn1MnTrVXG+lWyg3svLBZv2f5eXlGI1G/P392zzu7+9PaWlph68pLS3t8Pmib1dgYKDFzveXTL9+/Vi8eDGLFy+mqamJN954g3/84x+EhITw5Zdf0tDQQEJCgkUydRwdHQkKCiIoKEj6HDUaDWfOnMHJyUkSHfFiJl7I5bhaEMPUxo0bJ7vfxb6IDICTk5P0ObXuYBPbydu7RwiCwMaNG/n73//ON998Y3WREc1Kn3vuuTaPz5o1i5MnT3b4mlOnTjFr1qw2j82ePZuPP/4YvV6v3Mj2AZsPGrS/ExIE4bp3zx09v6PHFXrHnj17eP311/noo4+47777OHToEImJiSxdulTK1Fm4cCHTp083+x+eg4MDAQEBBAQESP5rGo2G1NRU7O3t8fDwoKKigtDQUIKCgsx67L4iXsjDw8OvuRmyNaIA9lZk2mNvb4+/vz/+/v5t3CMyMjL49NNPqampYcSIEWzatIndu3d3OAdmaZQbWXlhM6ER2yjbf+gajabTP9SAgIAOn+/g4CArC5QbmdLSUr766ivi4uIAmDdvHvPmzUOv10uZOsuXL0ev13P33XeTkJDA7bffbvbWZbHl1s/PD5PJxMWLF7l69Sp2dnZcvHiR6upq/P39Le5i3B3EgUdzXcjNSVlZGefOnbPYudnZ2TFw4EAGDhzI2LFjsbOz49133+Xzzz9Hr9fz73//m/z8fMkuydooN7LywGZ/oU5OTkRHR3Pw4ME2jx88eLDTZXZsbOw1zz9w4ACTJk1SlrVmYtWqVZLItMbR0ZE777yTDRs2SMOhXl5e/PGPfyQkJIRHHnmE3bt309TUZPZzKioqoqioiMjISH71q19J3W8ZGRkkJSVx/vx5ysrKMBqNZj92V5SUlJCRkcGECRNkKzLh4eFWOTeVSkVZWRmHDh3iiy++4OzZs8TGxrJhwwZWr15t8eO3RrmRlReyaG/esGEDsbGxfPDBB3z44YdkZGQwdOhQ1qxZQ1FREZ999hnwc1fIY489xvLlyzl16hQrVqxQukJsiMlk4vTp05LTdHl5ObNnzyYhIYFZs2b1OSEyLy+P/Px8IiMjr0kSFV2MxVkdvV6Pj48P/v7+Fh08FBFjoeVmKgptRcZaW3nffPMNy5YtY/PmzW0afKBl4NfalkAxMTFER0fz3nvvSY+FhoYSHx/faTPA7t27yczMlB77/e9/T1pamtIM0EdkMbD5z3/+k5KSEsLDw/n3v/8t7ek+/PDD5Ofnc+zYMen5SUlJPPXUU1Kf+7PPPqv0ucsEk8lEcnKyJDqFhYXcddddxMfHM2/ePDw9Pbv9vQRBIDc3l8LCQqKjo7sMLBMEgbq6Okl0mpubJf81Hx8fs694CwsLuXDhAhMnTpRVLDT8XJMJCwuzmsh8++23LF26lE8++YQlS5ZY5ZhdodzIygebC4216ckA17Fjx7j99tuveTwrK4uxY8da+lRvaESrflF0cnNzueOOO1iwYAHz58+/bqCaIAjk5OSg0WiIjo7ucWCZOHioVqvRaDQ0NDRI0+6+vr59nna/cuUKubm5Ha6ybI0tRObIkSPcd999bNiwgQceeEBW9QzlRlYe3FRC09MBLlFocnJy2tyN+/r6ysq0Ue6Ijs9iemhmZiYzZswgISGB+fPnt8nU0ev15OTkUF1dTXR0tFkCyxobGyXRqaurw9vbW2o06GkTQ35+Pnl5eURFReHl5dXnczMnthCZ48ePc++99/L222+zbNkyWYmMgny4qYSmpwNcotBUVVXJ7s71RkXM1BFFJy0tjVtvvZWEhATuuusuVq1aRXh4OC+99JLZ/NBaI/qvaTQaampq8PLykkSnK1G7fPkyV65cISoqqkfbgNbAFiJz8uRJ7rnnHv75z3/y2GOPKSKj0Cnysbm1MOIAV/uBrOsNcIlERkYSGBjIHXfcwdGjRy15mr94VCoVo0aNYs2aNfz4449cuHCB+fPn8+WXXzJlyhRyc3Px9fWlvLwcS9wDubq6MnToUCZPnsy0adMICAigvLycEydO8MMPP5CXl0dDQ0Ob14j1oitXrhAdHS07kSkvL7e6yPz4448sXryYV155RREZhS65aYSmNwNcgYGBfPDBB1K42JgxY7jjjjs4fvy4NU75F49KpSIkJIRHH30UZ2dnwsPDWblyJYcPHyY0NJSZM2eybt068vLyLCI6zs7ODBkyhOjoaKZPn87gwYOprq7m1KlTnDp1itzcXOrq6rh48SKFhYVMmjSpy6YEa1NeXs65c+cIDQ21msikpKSwcOFC/vrXv7Jq1SpFZBS6xObOANamJwNcY8aMYcyYMdL/Y2NjuXr1Km+++aZNpp1/qaxcuZJ+/frx7bff4ubmxjPPPENpaamUqfP3v/+d8ePHS/EGlkiodHJyYtCgQQwaNAi9Xk95eTlqtZq8vDwAgoKCMJlMXQ78WZPWIhMQEGCVY547d474+HieeeYZnn76adn8LBTkzU2zounNAFdH3HLLLVy8eNHcp3dT8+abb7Jjxw4pLkClUhEYGMjjjz/OoUOHKC4u5vHHH+f06dNMmTKF2NhY1q5dS2ZmpkVWOo6OjgQEBODs7IyTkxOjR4/GaDRy5swZvv/+e6lZwZblTVuITGZmJnFxcTzxxBM899xzisgodJubrhmgJwNcHbF48WIqKys5cuSIpU5ToRPETJ1du3aRmJjIwYMHGTp0KPHx8SxcuNBs6Zpil1xlZWWbzjej0UhlZaXUTNDaJqd///5Ws8Kxhcjk5OQwd+5cfvvb3/LKK68oIqPQI24qoenpANe6desYNmwYYWFh6HQ6Nm/ezGuvvUZiYiL33HOPjd+NQm1tLd98842UqRMQECBtr4mZOj1FEAQyMjKoqakhOjq608430UxSrVZTVlaGIAj4+vri7+/PgAEDLCY6onu1NUXm0qVLzJ07l/vuu4833njD5t5yCjceN9VvzJIlS1i3bh0vv/wyEydO5Pjx4+zdu5ehQ4cCLb5VV65ckZ6v0+lYvXo1EyZMYNq0aXz//ffs2bOn2yJz/Phx4uLiCAoKQqVSsWPHji5fk5SUJF3ghg8fzoYNG3r1Xm8GPD09uf/++0lMTEStVvPaa69RXFzM/PnzCQsL49lnn+XUqVPd9kAzmUykp6dTW1vLpEmTrtteLZpJhoaGMn36dCIiIrC3tyczM1PyX9NoNGb1XxNFZty4cVYTmfz8fMmxWxEZhd5yU61orM2+ffs4ceIEUVFRLFq0iO3bt5OQkNDp85WEP/PQ2NjIgQMHSExM5JtvvsHNzY24uLjrZuqIItPY2Eh0dHSv3QMEQaC2tlYaENXpdG2scHrr99VaZKxlV3/16lXmzJnDrFmzWL9+vSIyCr1GERoroVKpuhQaJeHP/DQ3N3P48GG2bdvGzp07sbe3l+7Qp02bhqOjI01NTXz99deMHTuWqKioPlvUiAiCQH19vSQ6TU1Nbaxwuuu/ZguRKSkpYfbs2UyfPp0PP/xQccJQ6BOK0FiJ7giNElVtWfR6PceOHSMxMZEdO3ag1+uZM2cOWVlZ6PV6jh8/bvZcndbU19dLjQT19fUMGDBAaiboTNxsITJqtZq5c+cyadIkNm3apIiMQp+56eZo5IyS8GdZHB0dueuuu7jrrrt45513OHjwII8++iiNjY3Y29uzcuVKEhISuOOOO8zisdYed3d33N3dGT58OI2NjWg0GoqLi8nOzqZ///6S6Ii1IVuITHl5OXFxcUyYMIGNGzcqIqNgFhShkRlKwp91aGpq4rXXXmPkyJHs2LGD8+fPs3XrVp555hkqKiqYM2cO8fHxzJ49u8fu0d3Bzc2NYcOGMWzYMJqbm6WVzoULF/D09MTDw4Pi4mJCQ0OtJjKVlZXExcUxatQoNm/ebPX8GIVfLkp1T0YoCX/WIy8vD19fX/bs2YOXlxe33nor//73v7l8+TKHDx8mJCSEl156iWHDhnH//ffz9ddfU1tba5FzcXFxITg4mEmTJjF9+nS8vLwoLCzEZDJRUFDQof+auamuriY+Pp7Bgwfz1Vdfma1OpaAASo3GanS3GUBJ+JMPJpOJs2fPSpk6ly9f5o477iA+Pp677777upk6vaWyspK0tDTGjh2Lr68vZWVlqNVqKisrcXV1xc/PD39/f9zd3c127NraWhISEvD09GTXrl0Wcc1WuLlRVjQWpL6+nrS0NNLS0oCWu+i0tDRpVmfNmjU8+OCD0vNXrFhBQUEBTz/9NFlZWXzyySd8/PHHVs9bV2jBzs6OyMhIXnnlFTIyMkhOTmbKlCm8++67hISEsHDhQjZu3Gg2p+nWIhMUFISjoyNBQUFERkYyY8YMhg8fTkNDAz/++CMnTpzg4sWL1NTU9OnY9fX1LF68GDc3N3bs2GFzkamqqmLp0qV4eXnh5eXF0qVLqa6uvu5rHn74YVQqVZt/t9xyi3VOWKFbKCsaC9JZQudDDz3Exo0blYS/GxRBELh48aKUqXP27Fluu+024uPjWbBgAf7+/j1ebbQXmethNBqpqKhArVZTXl6Og4NDGyuc7h67sbGRxYsXYzKZ2Lt3L+7u7j06Z0swd+5cCgsL+eCDDwB49NFHGTZsGLt37+70NQ8//DBqtZpPP/1UeszJyUl2Eds3M4rQ/II4fvw4b7zxBsnJyZSUlHS5VadEVfcdQRDIy8uToiR++uknYmNjWbBgAfHx8QwaNKjLC39PRKY9JpOJiooKNBoNZWVlqFQqSXS8vb07HbJsbm5myZIl1NfXs3//fllk7GRlZREaGsrp06eJiYkB4PTp08TGxpKdnd3GSb01Dz/8MNXV1d1y3lCwDcrW2S+IhoYGIiIieOedd3r0upycHEpKSqR/o0aNstAZ/vJQqVQMHz6cP//5z5w8eZLLly+zaNEidu/eLWXqvP322+Tn53e4xSWKzJgxY3osMtCyvefr60tYWBjTp08nPDwcgPPnz3P8+HEyMjIoKyvDZDJJr9FqtfzmN7+hqqqKvXv3ykJkAE6dOoWXl5ckMtDilu7l5dVlOOGxY8fw8/Nj9OjRLF++HI1GY+nTVegBSv/iL4i5c+cyd+7cHr9O3HJR6BsqlYrg4GCefPJJ/vjHP0qrym3btvG3v/2N8ePHk5CQQHx8PCNHjmTfvn18//33rFy5kkGDBvX5+KL/2sCBAxk7dizV1dVoNBqys7OprKxk06ZNzJ8/n/3791NcXMzhw4fx9vY2wzs3D6Wlpfj5+V3zuJ+fX6fhhNDye3/vvfcydOhQ8vLy+Otf/8rMmTNJTk626ACuQvdRVjQKSlS1BVCpVAQFBbFy5UopU2fFihWcPHmSyZMnM3nyZJYuXYqzs3OvVjLdOb63tzdjxozhtttuIzw8nKCgIP7xj3+wd+9ehgwZwoEDByzWst2aF1988Zpifft/Z86ckc67PV2FzS1ZsoS7776b8PBw4uLi2LdvHxcuXGDPnj0We08KPUMRmpsYJaraOqhUKnx9fXn00UfZt28f27dvJy8vj4iICN5++20mTZrEyy+/zLlz59pscZnz+EOHDqWpqYn+/ftz6NAhoqOjWbt2LX5+fqSnp5v9mK1ZtWoVWVlZ1/0XHh5OQEAAarX6mteXlZX1KJwwMDCQoUOHKgGFckJQ+EUCCNu3b+/x6+bPny/ExcWZ/4QUBEEQhO+++07w8PAQPvroI0EQBKG6ulrYvHmzsHDhQsHNzU0YMWKE8NRTTwnHjx8X6urqhIaGhj7/q62tFR588EFh5MiRQmFhYZvzycnJEQwGgy1+FNeQmZkpAMIPP/wgPXb69GkBELKzs7v9fcrLywVnZ2dh06ZNljhNhV6grGgU2qBEVVuWAQMG8M477/DII48A4OXlxQMPPMC2bdtQq9WsXbuWoqIiaSvo2Wef5fTp073OtTGZTDz11FN89913HDp06Jpa0OjRo2XjZzZu3DjmzJnD8uXLOX36NKdPn2b58uXMnz+/TcfZ2LFj2b59O9AyB7R69WpOnToljQrExcXh4+PDwoULbfVWFNqhNAMotCE1NVUx77QgoaGhhIaGdvg1d3d3/uu//kty696/fz+JiYksWrQINzc3FixYQEJCArGxsd3yITOZTDzzzDMcOHCAY8eOSQF/cuY///kPf/jDH5g1axYACxYsuKaLMicnh5qaGgDs7e1JT0/ns88+o7q6msDAQG6//Xa+/vprPDw8rH7+Ch2jzNH8gqivr+fSpUtAS4H/rbfe4vbbb2fAgAEEBwcrUdU3KM3NzRw6dEjK1HFwcJCC3MRMnfaYTCZeeOEFtm7dyrFjx5SWdQXbYuu9OwXzcfToUQG45t9DDz0kCIIgPPTQQ8KMGTOk57/++uvCiBEjBBcXF8Hb21u47bbbhD179vTomGvXrhUmTZokuLu7C76+vkJ8fHy39tOPHTsmREVFCc7OzkJISIiwfv36Hh33ZkWn0wn79+8XHn30UcHPz08YMGCA8OCDDwrbtm0TKisrhYaGBqG+vl7485//LPj7+wtZWVm2PmUFBUFZ0Sj0iTlz5nDfffcxefJkDAYDL7zwAunp6WRmZnZqr69EVpsHg8HA999/z5YtW9ixYwcNDQ3MmzcPo9HIkSNHOHr0qDTAqaBgSxShUTArZWVl+Pn5kZSUxPTp0zt8jhJZbX6MRiOnTp3i888/Z+PGjRw6dIhp06bZ+rQUFABljkbBzIhF2usZGp46dUoq9orMnj2bM2fOoNfrLXp+v1Ts7e257bbbeP/992lsbFRERkFWKEKjYDYEQeDpp5+WJtE7o6vIaoW+IZd2ZQUFEaW9WcFsrFq1inPnzvH99993+VwlslpB4eZBERoFs/DEE0+wa9cujh8/zuDBg6/7XCWyWkHh5kLZOlPoE4IgsGrVKrZt28aRI0cICQnp8jWxsbEcPHiwzWMHDhxg0qRJHc6EKCgo3NgoQqPQJ1auXMnmzZv54osv8PDwoLS0lNLSUpqamqTnKJHVCgo3N0p7s0Kf6Kym8umnn/Lwww8DKJHVCgo3OYrQKNxwvPrqq2zbto3s7GxcXV2ZOnUqr7/+eqdRv6DEViso2BJl60zhhiMpKYmVK1dy+vRpDh48iMFgYNasWTQ0NHT5WiW2WkHB+igrGoUbnu64EYgrmqqqKiW2WkHByigrGoUbnu64EYgosdUKCtZHWdEo3NAIgkB8fDxVVVV89913nT4vJyeH48ePEx0djVar5fPPP2fDhg0cO3as01WQgoKCeVCERuGGZuXKlezZs4fvv/++y0HR9sTFxaFSqdi1a5eFzu6XxSuvvMKePXtIS0vDycmJ6urqLl8jCAIvvfQSH3zwAVVVVcTExPDuu+8SFhZm+RNWkA3K1pnCDYvoRnD06NEeiwwosdU9RafTce+99/L73/++26/55z//yVtvvcU777zDTz/9REBAAHfddRd1dXUWPFMFuaGsaBRuOARB4IknnmD79u19So9cvHgxlZWVHDlyxMxn+Mtm48aNPPnkk12uaARBICgoiCeffJJnn30WAK1Wi7+/P6+//jqPPfaYFc5WQQ4oXmcKNxwrV67kiy++YOfOnZIbAYCXlxeurq4A3YqtTkxMJDEx0Wbv45dOXl4epaWlbSIhnJ2dmTFjBidPnlSE5iZCERqFG47169cD8Ktf/arN463dCEpKSrhy5Yr0NZ1Ox+rVqykqKsLV1ZWwsDD27NnDvHnzrHXaNx3iDUBHkRAFBQW2OCUFG6HUaBRuOARB6PCfKDLQsr3T2vLmmWee4dKlSzQ1NVFZWcl3333XY5FZv349EyZMwNPTE09PT2JjY9m3b991X5OUlER0dDQuLi4MHz6cDRs29OiYlubFF19EpVJd99+ZM2f6dIyOIiGUOIibC2VFo6DQTQYPHsxrr73GyJEjAdi0aRPx8fGkpqZ22EWVl5fHvHnzWL58OZs3b+bEiRM8/vjj+Pr6smjRImuffoesWrWK++6777rPGTZsWK++d0BAANCysgkMDJQe12g016xyFH7ZKEKjoNBN4uLi2vz/lVdeYf369Zw+fbpDodmwYQPBwcGsW7cOgHHjxnHmzBnefPNN2QiNj48PPj4+FvneISEhBAQEcPDgQSIjI4GWLcykpCRef/11ixxTQZ4oW2cKCr3AaDTy1Vdf0dDQQGxsbIfPOXXqVJtCOMDs2bM5c+YMer3eGqdpVq5cuUJaWhpXrlzBaDSSlpZGWloa9fX10nPGjh3L9u3bgZYtsyeffJK1a9eyfft2zp8/z8MPP4ybmxv333+/rd6Ggg1QVjQKCj0gPT2d2NhYmpubcXd3Z/v27YSGhnb43NLS0g4L4QaDgfLy8jbbSTcCf/vb39i0aZP0f3GVcvToUakxIycnR7IEgpbaWFNTE48//rg0sHngwAE8PDyseu4KtkWZo1FQ6AE6nY4rV65QXV1NYmIiH330EUlJSR2KzejRo1m2bBlr1qyRHjtx4gS33XYbJSUlUg1DQeGXjrKiUVDoAU5OTlIzwKRJk/jpp594++23ef/99695bkBAgNTiK6LRaHBwcGDgwIFWOV8FBTmg1GgUFPqAIAhotdoOvxYbG8vBgwfbPHbgwAEmTZqEo6OjNU5PQUEWKEKjoNBNnn/+eb777jvy8/NJT0/nhRde4NixYzzwwANAixvBgw8+KD1/xYoVFBQU8PTTT5OVlcUnn3zCxx9/zOrVq231FhQUbIKydaag0E3UajVLly6lpKQELy8vJkyYwLfffstdd90FXOtGEBISwt69e3nqqad49913CQoK4v/9v/8nm9ZmBQVroTQDKCgoKChYFGXrTEFBQUHBoihCo6CgoKBgURShUVBQUFCwKIrQKCgoKChYFEVoFBQUFBQsiiI0CgoKCgoWRREaBQUFBQWLogiNgoKCgoJFUYRGQUFBQcGiKEKjoKCgoGBRFKFRUFBQULAo/x8D2vSR09z8awAAAABJRU5ErkJggg==\n", "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": "2024-04-30T08:57:40.210669Z", "iopub.status.busy": "2024-04-30T08:57:40.210559Z", "iopub.status.idle": "2024-04-30T08:57:40.212333Z", "shell.execute_reply": "2024-04-30T08:57:40.212105Z" } }, "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": "2024-04-30T08:57:40.213634Z", "iopub.status.busy": "2024-04-30T08:57:40.213559Z", "iopub.status.idle": "2024-04-30T08:57:40.215325Z", "shell.execute_reply": "2024-04-30T08:57:40.215081Z" } }, "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": "2024-04-30T08:57:40.216695Z", "iopub.status.busy": "2024-04-30T08:57:40.216617Z", "iopub.status.idle": "2024-04-30T08:57:42.085504Z", "shell.execute_reply": "2024-04-30T08:57:42.085201Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field order defaults to 1\n", "Fast marching solver completed in 1.57661 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 46 ms, sys: 33 ms, total: 79 ms\n", "Wall time: 1.87 s\n" ] } ], "source": [ "%%time\n", "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "execution": { "iopub.execute_input": "2024-04-30T08:57:42.087216Z", "iopub.status.busy": "2024-04-30T08:57:42.087101Z", "iopub.status.idle": "2024-04-30T08:57:42.089297Z", "shell.execute_reply": "2024-04-30T08:57:42.088984Z" } }, "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": "2024-04-30T08:57:42.090857Z", "iopub.status.busy": "2024-04-30T08:57:42.090753Z", "iopub.status.idle": "2024-04-30T08:57:42.154517Z", "shell.execute_reply": "2024-04-30T08:57:42.154205Z" } }, "outputs": [ { "data": { "image/png": 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\n", "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": "2024-04-30T08:57:42.156343Z", "iopub.status.busy": "2024-04-30T08:57:42.156216Z", "iopub.status.idle": "2024-04-30T08:57:42.158180Z", "shell.execute_reply": "2024-04-30T08:57:42.157922Z" } }, "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": "2024-04-30T08:57:42.159636Z", "iopub.status.busy": "2024-04-30T08:57:42.159526Z", "iopub.status.idle": "2024-04-30T08:57:44.959202Z", "shell.execute_reply": "2024-04-30T08:57:44.958857Z" } }, "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 2.61336 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 24 ms, sys: 26 ms, total: 50 ms\n", "Wall time: 2.8 s\n" ] } ], "source": [ "%%time\n", "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "execution": { "iopub.execute_input": "2024-04-30T08:57:44.960941Z", "iopub.status.busy": "2024-04-30T08:57:44.960817Z", "iopub.status.idle": "2024-04-30T08:57:44.962905Z", "shell.execute_reply": "2024-04-30T08:57:44.962677Z" } }, "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": "2024-04-30T08:57:44.964321Z", "iopub.status.busy": "2024-04-30T08:57:44.964211Z", "iopub.status.idle": "2024-04-30T08:57:45.026981Z", "shell.execute_reply": "2024-04-30T08:57:45.026705Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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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": "2024-04-30T08:57:45.028861Z", "iopub.status.busy": "2024-04-30T08:57:45.028714Z", "iopub.status.idle": "2024-04-30T08:57:45.032640Z", "shell.execute_reply": "2024-04-30T08:57:45.032368Z" } }, "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": "2024-04-30T08:57:45.034154Z", "iopub.status.busy": "2024-04-30T08:57:45.034069Z", "iopub.status.idle": "2024-04-30T08:57:45.036610Z", "shell.execute_reply": "2024-04-30T08:57:45.036369Z" } }, "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": "2024-04-30T08:57:45.037998Z", "iopub.status.busy": "2024-04-30T08:57:45.037903Z", "iopub.status.idle": "2024-04-30T08:57:45.040363Z", "shell.execute_reply": "2024-04-30T08:57:45.040109Z" } }, "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": "2024-04-30T08:57:45.042347Z", "iopub.status.busy": "2024-04-30T08:57:45.042246Z", "iopub.status.idle": "2024-04-30T08:57:45.044131Z", "shell.execute_reply": "2024-04-30T08:57:45.043916Z" } }, "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": "2024-04-30T08:57:45.045497Z", "iopub.status.busy": "2024-04-30T08:57:45.045397Z", "iopub.status.idle": "2024-04-30T08:57:45.080196Z", "shell.execute_reply": "2024-04-30T08:57:45.079847Z" } }, "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 0.015935 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": "2024-04-30T08:57:45.081804Z", "iopub.status.busy": "2024-04-30T08:57:45.081708Z", "iopub.status.idle": "2024-04-30T08:57:45.084082Z", "shell.execute_reply": "2024-04-30T08:57:45.083860Z" } }, "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": "2024-04-30T08:57:45.085419Z", "iopub.status.busy": "2024-04-30T08:57:45.085337Z", "iopub.status.idle": "2024-04-30T08:57:45.086931Z", "shell.execute_reply": "2024-04-30T08:57:45.086688Z" } }, "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": "2024-04-30T08:57:45.088309Z", "iopub.status.busy": "2024-04-30T08:57:45.088228Z", "iopub.status.idle": "2024-04-30T08:57:45.090526Z", "shell.execute_reply": "2024-04-30T08:57:45.090292Z" } }, "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": "2024-04-30T08:57:45.091865Z", "iopub.status.busy": "2024-04-30T08:57:45.091789Z", "iopub.status.idle": "2024-04-30T08:58:09.804434Z", "shell.execute_reply": "2024-04-30T08:58:09.804102Z" } }, "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 23.7986 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 1.77 ms, sys: 5.31 ms, total: 7.09 ms\n", "Wall time: 24.7 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": "2024-04-30T08:58:09.806043Z", "iopub.status.busy": "2024-04-30T08:58:09.805916Z", "iopub.status.idle": "2024-04-30T08:58:09.808262Z", "shell.execute_reply": "2024-04-30T08:58:09.808031Z" } }, "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": "2024-04-30T08:58:09.809634Z", "iopub.status.busy": "2024-04-30T08:58:09.809531Z", "iopub.status.idle": "2024-04-30T08:58:09.811510Z", "shell.execute_reply": "2024-04-30T08:58:09.811278Z" } }, "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": "2024-04-30T08:58:09.812958Z", "iopub.status.busy": "2024-04-30T08:58:09.812861Z", "iopub.status.idle": "2024-04-30T08:58:09.814770Z", "shell.execute_reply": "2024-04-30T08:58:09.814535Z" } }, "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": "2024-04-30T08:58:09.816249Z", "iopub.status.busy": "2024-04-30T08:58:09.816138Z", "iopub.status.idle": "2024-04-30T08:58:09.817806Z", "shell.execute_reply": "2024-04-30T08:58:09.817573Z" } }, "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": "2024-04-30T08:58:09.819196Z", "iopub.status.busy": "2024-04-30T08:58:09.819116Z", "iopub.status.idle": "2024-04-30T08:58:09.820771Z", "shell.execute_reply": "2024-04-30T08:58:09.820519Z" } }, "outputs": [], "source": [ "hfmIn['dual']=1" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "execution": { "iopub.execute_input": "2024-04-30T08:58:09.822085Z", "iopub.status.busy": "2024-04-30T08:58:09.822000Z", "iopub.status.idle": "2024-04-30T08:58:34.084343Z", "shell.execute_reply": "2024-04-30T08:58:34.084010Z" } }, "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 23.5103 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 1.7 ms, sys: 4.71 ms, total: 6.41 ms\n", "Wall time: 24.3 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": "2024-04-30T08:58:34.086071Z", "iopub.status.busy": "2024-04-30T08:58:34.085943Z", "iopub.status.idle": "2024-04-30T08:58:34.088256Z", "shell.execute_reply": "2024-04-30T08:58:34.088007Z" } }, "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": "2024-04-30T08:58:34.089720Z", "iopub.status.busy": "2024-04-30T08:58:34.089601Z", "iopub.status.idle": "2024-04-30T08:58:34.091626Z", "shell.execute_reply": "2024-04-30T08:58:34.091386Z" } }, "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": "2024-04-30T08:58:34.093055Z", "iopub.status.busy": "2024-04-30T08:58:34.092953Z", "iopub.status.idle": "2024-04-30T08:58:34.094894Z", "shell.execute_reply": "2024-04-30T08:58:34.094626Z" } }, "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": "2024-04-30T08:58:34.096350Z", "iopub.status.busy": "2024-04-30T08:58:34.096248Z", "iopub.status.idle": "2024-04-30T08:58:36.633665Z", "shell.execute_reply": "2024-04-30T08:58:36.633152Z" } }, "outputs": [ { "ename": "KeyboardInterrupt", "evalue": "", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[70], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;66;03m# Warning : may take up to a minute.\u001b[39;00m\n\u001b[0;32m----> 2\u001b[0m hfmOut \u001b[38;5;241m=\u001b[39m \u001b[43mhfmIn\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mRun\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/Dropbox/Programmes/GithubM1/AdaptiveGridDiscretizations/agd/Eikonal/DictIn.py:268\u001b[0m, in \u001b[0;36mdictIn.Run\u001b[0;34m(self, join, **kwargs)\u001b[0m\n\u001b[1;32m 265\u001b[0m \t\u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(out,\u001b[38;5;28mtuple\u001b[39m): \u001b[38;5;28;01mreturn\u001b[39;00m (dictOut(out[\u001b[38;5;241m0\u001b[39m]),) \u001b[38;5;241m+\u001b[39m out[\u001b[38;5;241m1\u001b[39m:]\n\u001b[1;32m 266\u001b[0m \t\u001b[38;5;28;01melse\u001b[39;00m: \u001b[38;5;28;01mreturn\u001b[39;00m dictOut(out)\n\u001b[0;32m--> 268\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mmode\u001b[38;5;241m==\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mcpu\u001b[39m\u001b[38;5;124m'\u001b[39m: \u001b[38;5;28;01mreturn\u001b[39;00m to_dictOut(\u001b[43mrun_detail\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mRunSmart\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 269\u001b[0m \u001b[38;5;28;01melif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mmode\u001b[38;5;241m==\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mcpu_raw\u001b[39m\u001b[38;5;124m'\u001b[39m: \u001b[38;5;28;01mreturn\u001b[39;00m to_dictOut(run_detail\u001b[38;5;241m.\u001b[39mRunRaw(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mstore,\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs))\n\u001b[1;32m 270\u001b[0m \u001b[38;5;28;01melif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mmode\u001b[38;5;241m==\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mcpu_transfer\u001b[39m\u001b[38;5;124m'\u001b[39m:\n", "File \u001b[0;32m~/Dropbox/Programmes/GithubM1/AdaptiveGridDiscretizations/agd/Eikonal/run_detail.py:153\u001b[0m, in \u001b[0;36mRunSmart\u001b[0;34m(hfmIn, co_output, cache, returns)\u001b[0m\n\u001b[1;32m 151\u001b[0m \u001b[38;5;66;03m# Call to the HFM library\u001b[39;00m\n\u001b[1;32m 152\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m returns\u001b[38;5;241m==\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124min_raw\u001b[39m\u001b[38;5;124m'\u001b[39m: \u001b[38;5;28;01mreturn\u001b[39;00m hfmIn_raw\n\u001b[0;32m--> 153\u001b[0m hfmOut_raw \u001b[38;5;241m=\u001b[39m \u001b[43mRunDispatch\u001b[49m\u001b[43m(\u001b[49m\u001b[43mhfmIn_raw\u001b[49m\u001b[43m,\u001b[49m\u001b[43mGetBinaryDir\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mFileHFM\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mHFMpy\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 154\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m returns\u001b[38;5;241m==\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mout_raw\u001b[39m\u001b[38;5;124m'\u001b[39m: \u001b[38;5;28;01mreturn\u001b[39;00m hfmOut_raw\n\u001b[1;32m 156\u001b[0m \u001b[38;5;66;03m# Dealing with cached data\u001b[39;00m\n", "File \u001b[0;32m~/Dropbox/Programmes/GithubM1/AdaptiveGridDiscretizations/agd/Eikonal/LibraryCall.py:62\u001b[0m, in \u001b[0;36mRunDispatch\u001b[0;34m(params, bin_dir)\u001b[0m\n\u001b[1;32m 60\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01m.\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m FileIO\n\u001b[1;32m 61\u001b[0m execName \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mFileHFM_\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;241m+\u001b[39mmodelName\n\u001b[0;32m---> 62\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mFileIO\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mWriteCallRead\u001b[49m\u001b[43m(\u001b[49m\u001b[43mparams\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mexecName\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mbin_dir\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/Dropbox/Programmes/GithubM1/AdaptiveGridDiscretizations/agd/Eikonal/FileIO.py:75\u001b[0m, in \u001b[0;36mWriteCallRead\u001b[0;34m(inputData, executable, binary_dir, working_dir, inputPrefix, outputPrefix)\u001b[0m\n\u001b[1;32m 71\u001b[0m RawToFiles(inputData,os\u001b[38;5;241m.\u001b[39mpath\u001b[38;5;241m.\u001b[39mjoin(working_dir,inputPrefix) ) \u001b[38;5;66;03m# Export inputData\u001b[39;00m\n\u001b[1;32m 73\u001b[0m process \u001b[38;5;241m=\u001b[39m subprocess\u001b[38;5;241m.\u001b[39mPopen([os\u001b[38;5;241m.\u001b[39mpath\u001b[38;5;241m.\u001b[39mjoin(binary_dir,executable),inputPrefix,outputPrefix],\n\u001b[1;32m 74\u001b[0m \tstdout\u001b[38;5;241m=\u001b[39msubprocess\u001b[38;5;241m.\u001b[39mPIPE,stderr\u001b[38;5;241m=\u001b[39msubprocess\u001b[38;5;241m.\u001b[39mSTDOUT, universal_newlines\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m,cwd\u001b[38;5;241m=\u001b[39mworking_dir)\n\u001b[0;32m---> 75\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m stdout_line \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28miter\u001b[39m(process\u001b[38;5;241m.\u001b[39mstdout\u001b[38;5;241m.\u001b[39mreadline, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m\"\u001b[39m):\n\u001b[1;32m 76\u001b[0m \t\u001b[38;5;28mprint\u001b[39m(stdout_line,end\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 77\u001b[0m retcode \u001b[38;5;241m=\u001b[39m process\u001b[38;5;241m.\u001b[39mwait() \u001b[38;5;66;03m#returncode\u001b[39;00m\n", "\u001b[0;31mKeyboardInterrupt\u001b[0m: " ] } ], "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": 73, "metadata": {}, "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": 74, "metadata": {}, "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": 75, "metadata": {}, "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": "3.10.8" }, "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 }