{ "cells": [ { "cell_type": "markdown", "id": "a4bd4595-0edc-4fff-b7c1-f4285b146844", "metadata": {}, "source": [ "# Coupled nonlinear oscillators $\\beta$-FPU Problem \n", "\n", "### © Branislav K. Nikolić and Jalil Varela-Manjarres, University of Delaware\n", "[PHYS660: Computational Methods of Physics](https://wiki.physics.udel.edu/phys660) " ] }, { "cell_type": "markdown", "id": "653e7d9d", "metadata": {}, "source": [ "## What is covered in this notebook\n", "\n", "* Introduction The Fermi-Pasta-Ulam (FPU) model :\n", " * Review of verlet algorithm.\n", " * Application of verlet algorithm to n nonlinear differential equations.\n", "* Analysis of solutions:\n", " * Relative amplitude of solutions and concept of normal modes.\n", " * How to make a Fourier transform and analysis of spectrum.\n", " * Effects of nonlinearities in the differential equation (Ergodicity).\n", " * Animation of solution." ] }, { "cell_type": "markdown", "id": "8f3528b5-6c39-4e12-9915-8689b6862594", "metadata": {}, "source": [ "The Fermi-Pasta-Ulam (FPU) model is a system of nonlinearly coupled harmonic oscillators that shows the non- ergodic behaviour that emerges when nonlinear terms are considered in the differential equations that describes the dynamics\n", "\n", "- $\\ddot{x}_n=\\left(x_{n+1}-2 x_n + x_{n-1}\\right)+\\beta\\left[\\left(x_{n+1}-x_n\\right)^3-\\left(x_n-x_{n-1}\\right)^3\\right]$\n", "\n", "The FPU model revealed that certain nonlinear systems could exhibit unexpected dynamical behavior, with energy periodically concentrating in specific modes rather than spreading uniformly. This discovery had profound implications for the study of nonlinear dynamics, chaos theory, and the limits of ergodicity in physical systems.\n", "\n", "The FPU model's unexpected recurrence phenomenon ignited further research and led tt advancements in the field of nonlinear dynamics, inspiring subsequent investigations into chaos, integrability, and the interplay between nonlinear interactions and energy localization." ] }, { "cell_type": "code", "execution_count": 2, "id": "a57b4cfe", "metadata": {}, "outputs": [], "source": [ "### Libraries\n", "import numpy as np ## Linear algebra libraries\n", "import matplotlib.pyplot as plt ## Library to make plots \n", "import random ## random number\n", "import time ## to measure time\n", "\n", "from matplotlib import rcParams\n", "from matplotlib.ticker import (MultipleLocator, AutoMinorLocator)\n", "rcParams['axes.linewidth'] = 2\n", "rcParams['text.usetex'] = False#True ## intall MikLatex \n", "fs=25 ### Font size\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "20f408ab-fc81-4260-871d-aa021301f843", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "frequency of mode 1 is 0.00612\n", "Period T is 1026.0016032513315\n", "Final time of the evoluution 3276.8\n" ] } ], "source": [ "#### Global parameters \n", "#### Note that the mass and k value is assumed to be one\n", "L = 512 ## Size of the sistem\n", "beta = 0. ## beta factor associated with the nonlinearity of the DE\n", "t0,dt,tf = 0.0, 0.05 , 0.05*2**16 ## initial time, time step and final time \n", "q = 1 ## Initial mode \n", "A = 40 ## Amplitude of normal mode \n", "omega_q = 2*np.sin(np.pi*q/(2*L+2)) ## Frequency of the mode \n", "T = 2*np.pi/omega_q ## Period of the mode \n", "print(\"frequency of mode\", q , \"is \", round(omega_q,5) )\n", "print(\"Period T is \", T)\n", "print(\"Final time of the evoluution \", tf)" ] }, { "cell_type": "markdown", "id": "30dccaeb-d26d-4f8c-b9f4-a90b1fe0215b", "metadata": {}, "source": [ "## Methods to solve differential equations" ] }, { "cell_type": "markdown", "id": "1ccbc157-8c6d-457a-8144-65d809f8e73d", "metadata": {}, "source": [ "**Verlet algorithm**\n", "\n", "One of the widely used drift-free higher-order algorithms is often credited to Verlet [L. Verlet, \"Computer experiments on classical fluids. I. Thermodynamical properties of Lennard-Jones molecules,\" Physical Review 159, 98 (1967)]. In this paper, Verlet discusses the method and its application to molecular dynamics simulations.\n", "\n", "To derive the algorithm, we express the Taylor series expansion for $x_{n-1}$ and $x_{n+1}$ and we manipulate them in order to get the evolution of $x_{n+1}$ in function of $x_{n}$ and $x_{n-1}$, then we get:\n", "\n", "- $u_{n+1}(i)=2 u_n(i)-u_{n-1}(i)+\\frac{1}{m} F_n(\\Delta t)^2$\n", "\n", "In this case $F_n$ corresponds to the Force function acting over the particlen\n", "\n", "because the method requires the two past elements, usually the first term in the evolution is computed using other method(e.g. Euler)\n", "\n", "- $u_2(i)=u_1(i)+v_1 \\Delta t$\n", "\n", "The global error associated with the Verlet algorithm is third order for the position and second-order for the velocity. However, the velocity plays no part in the integration of the equations of motions. In the numerical analysis literature, the Verlet method is also knows as the ``explicit central difference method''." ] }, { "cell_type": "code", "execution_count": 19, "id": "8bfa5747", "metadata": {}, "outputs": [], "source": [ "def Euler_method(x, dt):\n", " # Perform one step of Euler's method\n", " x_new = x + dt * velocity(x)\n", " return x_new\n", "\n", "def Verlet_method(x_prev, x, dt, beta, L):\n", " # Perform one step of the Verlet method\n", " force = (np.roll(x, -1) - 2 * x + np.roll(x, 1)) + beta * ((np.roll(x, -1) - x) ** 3 - (x - np.roll(x, 1)) ** 3)\n", " x_new = 2 * x - x_prev + force * (dt ** 2)\n", " x_new[0] = 0 # Set left edge atom to zero (fixed boundary condition)\n", " x_new[-1] = 0 # Set right edge atom to zero (fixed boundary condition)\n", " return x_new\n", "\n", "def velocity(x):\n", " # Compute the velocity at each point\n", " return np.gradient(x)\n", " \n" ] }, { "cell_type": "markdown", "id": "f6487edb-4641-4fc2-a725-021d5981d285", "metadata": {}, "source": [ "## Fourier transform \n", "\n" ] }, { "cell_type": "markdown", "id": "e466249d-7865-4d6f-8e52-82e19f519d91", "metadata": {}, "source": [ "The Fourier transform is a mathematical transformation that decomposes a time-domain signal into its frequency components. It allows us to analyze a signal in the frequency domain, revealing the various sinusoidal components that make up the signal.\n", "The FFT (Fast Fourier Transform) is a widely used algorithm in physics for analyzing signals and extracting valuable information about their frequency content. It allows us to transform a time-domain signal into its frequency-domain representation, revealing the various frequency components that make up the signal. By decomposing signals into their constituent frequencies, the FFT enables us to study phenomena with periodic behavior, filter unwanted noise, perform spectral analysis, and solve complex problems in areas such as optics, quantum mechanics, and numerical simulations. The efficiency and versatility of the FFT make it an indispensable tool in modern physics research and applications." ] }, { "cell_type": "code", "execution_count": 20, "id": "fe6f41cd-e4ca-494f-9d90-06a757b0326b", "metadata": {}, "outputs": [], "source": [ "def fourier_transform(times,data,dt):\n", " \"\"\" This function calculates the FFT tranformation of a set of data\n", " \"\"\"\n", " from scipy.fft import fft, fftfreq ### Import functions to make the FFT\n", " \n", " N = times.size ### Calculate the size of the data set\n", " # This computes the complex Fourier coeffients, representing\n", " # the amplitude and phase information for each frquency\n", " yif = np.fft.fft(data) ### Apply the FFT algorithm to the data \n", " yf = abs(yif[0:N//2]) ### We only consider the first half of the spectrum\n", " ### since the FFT output is symmetric due to the propt.\n", " ### of real input signals\n", " yf= (2/N)*yf ### Normalice the amplitudes and the factor of two \n", " ### accounts for the symmetry in the spectrum are properly scaled \n", " # This Calculates the optimal frequencies based on the number of data points and the time interval \n", " # between consecutive points\n", " xf = np.fft.fftfreq(N,dt)[0:N//2] ### Generates the correspoding frqeuncy values for each data point \n", " \n", " return xf, yf" ] }, { "cell_type": "markdown", "id": "bfb056c3-910f-4b90-aefc-b36786e0fa09", "metadata": {}, "source": [ "## Evolution" ] }, { "cell_type": "markdown", "id": "96a922cf-0047-4713-964c-d93f2cba8257", "metadata": {}, "source": [ "### Initial conditions" ] }, { "cell_type": "code", "execution_count": 21, "id": "6c25cfda", "metadata": {}, "outputs": [], "source": [ "### Random initial condition \n", "x_r = [random.uniform(-1,1) for _ in range(L+2)]\n", "x_r[0]=0.\n", "x_r[-1]=0.\n", "x_r\n", "### Initial condition in the mode q\n", "x_0 = np.array([np.sqrt(2/(L+1))*np.sin(np.pi*n*q/(L+1) ) for n in range(0,L+2) ])*A\n", "x_0[0] = 0.\n", "x_0[-1] = 0." ] }, { "cell_type": "markdown", "id": "7eb2d8bd-6369-49dc-80e5-21a8e39037ba", "metadata": {}, "source": [ "### Evolution function" ] }, { "cell_type": "code", "execution_count": 22, "id": "1ccf5461-29f8-4a48-b1a3-fef0a0f5dfad", "metadata": {}, "outputs": [], "source": [ "def evolution(t0, tf, dt, x0, beta, L):\n", " sols = []\n", " t = t0\n", " x = x0.copy() ### Note that here we are assuming that the initial velocity is zero\n", " x_prev = x.copy()\n", " sols.append(x.copy())\n", " start_time = time.time()\n", "\n", " while t < tf:\n", " x_new = Verlet_method(x_prev, x, dt, beta, L)\n", " sols.append(x_new)\n", " x_prev = x.copy()\n", " x = x_new.copy()\n", " t += dt\n", "\n", " end_time = time.time()\n", " print(\"Time of simulation:\", end_time - start_time)\n", " return sols" ] }, { "cell_type": "code", "execution_count": 23, "id": "9403b4c1", "metadata": { "scrolled": true }, "outputs": [], "source": [ "#sols = evolution()" ] }, { "cell_type": "markdown", "id": "1db4ae5f-67cd-4cba-93b6-d7df86814d69", "metadata": {}, "source": [ "## Analysis: \n", "\n", "The patameters taken for the simulation will be the following, they will remain the same unless it was specified: \n", "\n" ] }, { "cell_type": "code", "execution_count": 24, "id": "1ccaa1ba-8424-44be-b4f9-a3c998d0a167", "metadata": {}, "outputs": [], "source": [ "# Global parameters \n", "#### Note that the mass and k value is assumed to be one\n", "L = 512 ## Size of the sistem\n", "beta = 0. ## beta factor associated with the nonlinearity of the DE\n", "t0,dt,tf = 0.0, 0.05 , 0.05*2**16 ## initial time, time step and final time \n", "q = 1 ## Initial mode \n", "A = 10 ## Amplitude of normal mode \n", "omega_q = 2*np.sin(np.pi*q/(2*L+2)) ## Frequency of the mode \n", "T = 2*np.pi/omega_q ## Period of the mode " ] }, { "cell_type": "markdown", "id": "57c1ebb8-a32f-4be7-ba5c-9aed3fc00c18", "metadata": {}, "source": [ "### Problem of 3 masses $(\\beta = 0)$" ] }, { "cell_type": "code", "execution_count": 25, "id": "ed220b3e-e44e-4236-ac4e-b507b8ccafdc", "metadata": {}, "outputs": [], "source": [ "### Parameters:\n", "L = 3\n", "beta = 0.0\n", "A=10\n", "#t0,dt,tf = 0.0, 0.05 , 0.05*2**16\n", "omega_q= lambda q,L : 2*np.sin(np.pi*q/(2*L+2)) ## Frequency of the mode \n", "eqn = lambda q,n,L,A=1 : np.sqrt(2/(L+1))*np.sin(np.pi*n*q/(L+1) )*A\n", "Tq= lambda q,L : 2*np.pi/omega_q(q,L) \n", "\n" ] }, { "cell_type": "markdown", "id": "dd1350c4-fce8-4e65-9522-85df0500424f", "metadata": {}, "source": [ "#### Pattern of masses at t=0" ] }, { "cell_type": "code", "execution_count": 26, "id": "8b4889f7-c4fe-4cb1-a1ce-42655bd1e90b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n=np.arange(0,L+2)\n", "fs=15\n", "plt.figure(figsize= (7,7))\n", "plt.plot(n,eqn(1,n,L=L),marker ='o' ,label =\"mode 1\",lw=3)\n", "plt.plot(n,eqn(2,n,L=L),marker ='o', label =\"mode 2\",ls = '--',lw=3)\n", "plt.plot(n,eqn(3,n,L=L),marker ='o', label =\"mode 3\", ls= '-.',lw=3)\n", "\n", "plt.xlabel(\"Mass n\",fontsize =fs)\n", "plt.ylabel(\"Initial amplitude of the modes\",fontsize =fs)\n", "plt.tick_params(axis= \"both\", labelsize =fs)\n", "plt.legend()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "f90eb8c8-6f12-4369-848a-3a16fd2adfd9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "4504e210-9b9e-42f7-9860-b144023db59e", "metadata": {}, "source": [ "#### Dynamics of $x_2$" ] }, { "cell_type": "code", "execution_count": 27, "id": "37a1754e-1c38-4ff5-8d38-212b69ef0368", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time of simulation: 0.041500091552734375\n", "Time of simulation: 0.043565988540649414\n", "Time of simulation: 0.032208919525146484\n" ] } ], "source": [ "##### Evaluation of the dynamics for thre initial conditions\n", "t0,dt,tf = 0, 0.05, 4*Tq(q=1,L=L) \n", "\n", "#t0,dt,tf = 0.0, 0.05 , 0.05*2**16 ## initial time, time step and final time \n", "\n", "x10 = np.array([eqn(1,n=ni,L=L) for ni in range(0,L+2) ])\n", "x10[0],x10[-1]= 0,0\n", "x20 = np.array([eqn(2,n=ni,L=L) for ni in range(0,L+2) ])\n", "x20[0],x20[-1]= 0,0\n", "x30 = np.array([eqn(3,n=ni,L=L) for ni in range(0,L+2) ])\n", "x20[0],x20[-1]= 0,0\n", "\n", "sols1 = evolution(t0=t0,tf=tf,dt=dt,x0=x10,beta=beta ,L=L)\n", "sols2 = evolution(t0,tf,dt,x20,beta=beta,L=L)\n", "sols3 = evolution(t0,tf,dt,x30,beta=beta, L=L) ;" ] }, { "cell_type": "code", "execution_count": 31, "id": "21c77e36-b1fd-4965-b187-d37a5ea20196", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = np.arange(t0, tf, dt)\n", "\n", "fs=15\n", "plt.figure(figsize= (7,7))\n", "\n", "sols_x2_m1 = [sols1[i][3] for i in range(len(times)) ]\n", "sols_x2_m2 = [sols2[i][3] for i in range(len(times)) ]\n", "sols_x2_m3 = [sols3[i][3] for i in range(len(times)) ]\n", "\n", "plt.plot(times,sols_x2_m1,marker ='o' ,label =\"mode 1\",lw=3)\n", "plt.plot(times,sols_x2_m2,marker ='o' ,label =\"mode 2\",lw=3,alpha=0.5)\n", "\n", "\n", "plt.plot(times,sols_x2_m3,marker ='o' ,label =\"mode 3\",lw=3,alpha=0.3)\n", "plt.xlabel(\"Time\",fontsize=fs)\n", "plt.ylabel(\"Amplitude of the modes\",fontsize=fs)\n", "plt.tick_params(axis= \"both\", labelsize =fs)\n", "plt.legend()\n", "#plt.xlim([0,300])\n", "#times" ] }, { "cell_type": "markdown", "id": "03599b58-3216-4490-85be-551a9cbcf7a6", "metadata": {}, "source": [ "#### FFT of the signal of $x_2$" ] }, { "cell_type": "code", "execution_count": 32, "id": "376c7f95-f17f-4327-9b2a-6d641b770609", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t0,dt,tf = 0, 0.05, 4*Tq(q=1,L=L) \n", "times = np.arange(t0, tf, dt)\n", "\n", "T1 = Tq(1,L=L)\n", "T2 = Tq(2,L=L)\n", "T3 = Tq(3,L=L)\n", "T_1 = int(T1//dt) \n", "T_2 = int(T2//dt) \n", "T_3 = int(T3//dt) \n", "a=0\n", "b=4\n", "W1,F1 = fourier_transform(times[T_1*a:T_1*b], sols_x2_m1[T_1*a:T_1*b], dt)\n", "W1 = W1[::1]*T1 \n", "W2,F2 = fourier_transform(times[T_2*a:T_2*b], sols_x2_m2[T_2*a:T_2*b], dt)\n", "W2 = W2[::1]*T1 \n", "W3,F3 = fourier_transform(times[T_3*a:T_3*b], sols_x2_m3[T_3*a:T_3*b], dt)\n", "W3 = W3[::1]*T1 \n", "\n", "\n", "#plt.scatter(W1[::1],F1[::1]**2,marker='>',edgecolors='black',label=r'mode 1',color='white',s=80)\n", "plt.plot(W1[::1],F1[::1]**2,color='black',ls ='--',markeredgecolor ='black',marker='o' ,label =\"mode 1\",lw=3,mfc='white',ms=10)\n", "\n", "#plt.scatter(W2[::1],F2[::1]**2,marker='o', edgecolors='black',label=r'mode 2',color='white',s=80)\n", "plt.plot(W2[::1],F2[::1]**2,color='blue',ls ='--',markeredgecolor ='blue',marker='o' ,label =\"mode 2\",lw=3,mfc='white',ms=10,alpha=0.5)\n", "\n", "#plt.scatter(W3[::1],F3[::1]**2,marker = 's',edgecolors='red',label=r'mode 3',color='white',s=80)\n", "plt.plot(W3[::1],F3[::1]**2,color='orange',ls ='--',markeredgecolor ='orange',marker='o' ,label =\"mode 3\",lw=3,mfc='white',ms=10,alpha=0.8)\n", "plt.xlim([0,6])\n", "plt.ylabel(r\"$\\rm{Power\\ Spectrum\\ of \\ x_{2}(t)} $\" ,fontsize=fs)\n", "plt.xlabel(r\"$\\rm{Frequency} \\ (\\omega / \\omega_1)$\",fontsize=fs)\n", "plt.annotate(r'$\\mathrm{\\beta = }$'+ f'{beta}', xy=(0.1, 0.1), xytext=(0.05,0.9), xycoords='axes fraction',fontsize=fs )\n", "plt.tick_params(axis= \"both\", labelsize =fs)\n", "plt.yscale('log')\n", "#plt.ylim([1e-8,100])\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a74a837f-c27d-441a-82f9-807ff55d6168", "metadata": {}, "source": [ "#### Animations:" ] }, { "cell_type": "code", "execution_count": 14, "id": "8bfb564d-bfca-4e8a-8995-6525c6ef95fd", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "MovieWriter ffmpeg unavailable; using Pillow instead.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "from matplotlib.animation import FuncAnimation\n", "\n", "# Given positions of the masses over time\n", "mass0_m1 = [sols1[i][0] for i in range(len(times)) ]\n", "mass1_m1 = [sols1[i][1] for i in range(len(times)) ]\n", "mass2_m1 = [sols1[i][2] for i in range(len(times)) ]\n", "mass3_m1 = [sols1[i][3] for i in range(len(times)) ]\n", "mass4_m1 = [sols1[i][4] for i in range(len(times)) ]\n", "# Create a figure and axes\n", "fig, ax = plt.subplots()\n", "# Set the limits of the axes\n", "ax.set_xlim(-20, 20)\n", "ax.set_ylim(-1, 1)\n", "equilibrium_positions = [-20,-10, 0, 10,20] \n", "# Create empty scatter plots for the three masses\n", "scatter_plots = [ax.scatter([], [], marker='o', s=150) for _ in range(5)]\n", "# Function to update the animation frame\n", "def update(frame):\n", " # Update the positions of the three masses with equilibrium displacement\n", " x_positions = [ mass0_m1[frame] + equilibrium_positions[0],\n", " mass1_m1[frame] + equilibrium_positions[1],\n", " mass2_m1[frame] + equilibrium_positions[2],\n", " mass3_m1[frame] + equilibrium_positions[3],\n", " mass4_m1[frame] + equilibrium_positions[4]]\n", " y_positions = [0,0, 0, 0, 0 ] # All masses are at y=0\n", " for scatter_plot, x, y in zip(scatter_plots, x_positions, y_positions):\n", " scatter_plot.set_offsets([[x, y]])\n", " return scatter_plots\n", "# Create the animation\n", "animation = FuncAnimation(fig, update, frames=len(mass1_m1), interval=1e-1, blit=False)\n", "# Save animation\n", "animation.save('anim.gif')\n", "# Show the plot\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "81e71cf4-834a-42f4-8c0e-be110d54260c", "metadata": {}, "source": [ "### Problem of 512 masses comparing $(\\beta\\neq 0)$ and $(\\beta= 0)$ " ] }, { "cell_type": "code", "execution_count": 15, "id": "551bac24-9d3d-4b56-900e-5afa3ddc0987", "metadata": {}, "outputs": [], "source": [ "### Parameters:\n", "L = 512\n", "#beta = 0.1\n", "A=80\n", "#t0,dt,tf = 0.0, 0.05 , 0.05*2**16" ] }, { "cell_type": "code", "execution_count": 47, "id": "a8b29d0d-0f5c-42f8-a17c-06444fc3b1a6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time of simulation: 16.851444005966187\n", "Time of simulation: 15.562663555145264\n" ] } ], "source": [ "##### Evaluation of the dynamics for thre initial conditions\n", "t0,dt,tf = 0, 0.5, 200*Tq(q=1,L=L) \n", "x10 = np.array([eqn(1,n,L=L,A=A) for n in range(0,L+2) ])\n", "#x20 = np.array([eqn(2,n,L=L) for n in range(0,L+2) ])\n", "#x30 = np.array([eqn(3,n,L=L) for n in range(0,L+2) ])\n", "sols1 = evolution(t0,tf,dt,x10,beta=0.0 ,L=L)\n", "sols2 = evolution(t0,tf,dt,x10,beta=0.1 ,L=L)" ] }, { "cell_type": "markdown", "id": "7ab13bd7-b07e-47a3-938c-b6e519f340a4", "metadata": {}, "source": [ "#### Dynamics of $x_{256}$" ] }, { "cell_type": "code", "execution_count": 48, "id": "6334a49a-472d-4162-aa16-62cbc0203db6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(194940.304617753, 205200.3206502663)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = np.arange(t0, tf, dt)\n", "\n", "fs=15\n", "plt.figure(figsize= (7,7))\n", "\n", "sols_x2_m1 = np.array([sols1[i][L//2+1] for i in range(len(times)) ] )\n", "sols_x2_m2 =np.array( [sols2[i][L//2+1] for i in range(len(times)) ] )\n", "#sols_x2_m3 = [sols3[i][L//2+1] for i in range(len(times)) ]\n", "\n", "plt.plot(times,sols_x2_m1 ,label =\"beta=0\",lw=3)\n", "plt.plot(times,sols_x2_m2 ,label =\"beta=1\",lw=3,alpha=0.5,ls = '--')\n", "#plt.plot(times,sols_x2_m3 ,label =\"mode 3\",lw=3,alpha=0.8,ls = '-.')\n", "plt.xlabel(\"Time\",fontsize=fs)\n", "plt.ylabel(\"Amplitude of the modes\",fontsize=fs)\n", "plt.tick_params(axis= \"both\", labelsize =fs)\n", "plt.legend()\n", "plt.xlim([Tq(q=1,L=L)*190 , Tq(q=1,L=L)*200])\n", "#times" ] }, { "cell_type": "code", "execution_count": 49, "id": "5daa0d02-e80e-4544-a402-e8fcb5fa3c23", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## Diference\n", "plt.plot(sols_x2_m2[-10000:-1]-sols_x2_m1[-10000:-1] )" ] }, { "cell_type": "markdown", "id": "71ee8819-5eb6-46f2-808c-930c0ce36cb4", "metadata": {}, "source": [ "#### FFT of the signal of $x_{256}$" ] }, { "cell_type": "code", "execution_count": 61, "id": "8e600834-619f-42ae-82bc-221d39ccca91", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#t0,dt,tf = 0, 0.5, 4*Tq(q=1,L=L) \n", "times = np.arange(t0, tf, dt)\n", "\n", "T1 = Tq(1,L=L)\n", "#T2 = Tq(2,L=L)\n", "#T3 = Tq(3,L=L)\n", "T_1 = int(T1//dt) \n", "#T_2 = int(T2//dt) \n", "a=1\n", "b=2\n", "W1, F1 = fourier_transform(times[T_1*a:T_1*b], sols_x2_m1[T_1*a:T_1*b], dt)\n", "W1 = W1[::1]*T1 \n", "W2,F2 = fourier_transform(times[T_1*a:T_1*b], sols_x2_m2[T_1*a:T_1*b], dt)\n", "W2 = W2[::1]*T1 \n", "#W3,F3 = fourier_transform(times[T_3*a:T_3*b], sols_x2_m3[T_3*a:T_3*b], dt)\n", "#W3 = W3[::1]*T1 \n", "\n", "\n", "#plt.scatter(W1[::1],F1[::1]**2,marker='>',edgecolors='black',label=r'mode 1',color='white',s=80)\n", "plt.plot(W1,F1**2,color='black',ls ='--',markeredgecolor ='black',marker='o' ,label =\"beta=0.0\",lw=3,mfc='white',ms=10)\n", "\n", "#plt.scatter(W2[::1],F2[::1]**2,marker='o', edgecolors='black',label=r'mode 2',color='white',s=80)\n", "\n", "plt.plot(W2[::1],F2[::1]**2,color='blue',ls ='--',markeredgecolor ='blue',marker='o' ,label =\"beta=0.1\",lw=3,mfc='white',ms=10,alpha=0.5)\n", "\n", "#plt.scatter(W3[::1],F3[::1]**2,marker = 's',edgecolors='red',label=r'mode 3',color='white',s=80)\n", "#plt.plot(W3[::1],F3[::1]**2,color='orange',ls ='--',markeredgecolor ='orange',marker='o' ,label =\"mode 3\",lw=3,mfc='white',ms=10,alpha=0.8)\n", "plt.xlim([0,10])\n", "plt.ylabel(r\"$\\rm{Power\\ Spectrum\\ of \\ x_{2}(t)} $\" ,fontsize=fs)\n", "plt.xlabel(r\"$\\rm{Frequency} \\ (\\omega / \\omega_1)$\",fontsize=fs)\n", "plt.annotate(r'$\\mathrm{\\beta = }$'+ f'{beta}', xy=(0.1, 0.1), xytext=(0.05,0.1), xycoords='axes fraction',fontsize=fs )\n", "plt.tick_params(axis= \"both\", labelsize =fs)\n", "plt.yscale('log')\n", "#plt.ylim([1e-16,1e-13])\n", "plt.legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5938ca7b-97ce-489d-b029-348979474677", "metadata": {}, "source": [ "**Take $\\beta=0.1,0.0$ and cosider the following cases**\n", "- The first mode\n", "- Half of the mode 1\n", "- 3/2 of the mode 1\n", "- superpositions of modes 1, 2, 3\n", "\n", "**What do you spect to be the FFT of the last 4 cases? Make a plot comparing the different Fourier transforms and explain.**\n", "\n", "\n", "**Start from a mode q=300 and A=80, what do you expect? make a Fourier transform, plot the spectrum and explain**" ] }, { "cell_type": "markdown", "id": "90a7c450-53be-438a-8906-31f102a5a0d1", "metadata": {}, "source": [ "\n", "## Faster way:\n", "\n" ] }, { "cell_type": "code", "execution_count": 27, "id": "8cfd55cb-89ea-4513-8044-768a188826c1", "metadata": {}, "outputs": [], "source": [ "#### Faster way to code it\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "n_atoms = 100 # number of atoms in the nonlinear chain\n", "beta = 0.1 # strength of nonlinear (cubic in displacement) forces in the beta-FPU model\n", "A = 40 # amplitude of normal mode which specifies potential energy pumped into the chain at t=0 by stretching springs\n", "dt = 0.05 # time step in seconds\n", "time_steps = 2 ** 16 # number of time steps - to be suitable for FFT, it should be a power of 2\n", "\n", "x = np.zeros((time_steps, n_atoms + 2)) # matrix whose rows are positions of particles, each row is for a different time step\n", "q = 1 # label of the normal mode used as the initial condition; its frequency is omega_q = 2sin[(pi*q)/(2n_atoms+2)]\n", "\n", "n = np.arange(n_atoms + 2) # vector labeling atoms 0, 1, ..., n_atoms+1\n", "e_init = np.sqrt(2 / (n_atoms + 1)) * np.sin((np.pi * q * n) / (n_atoms + 1)) # normal mode q for linear chain with fixed boundary conditions\n", "\n", "x[0, :] = A * e_init # initial positions of atoms are obtained using normal mode q of amplitude A\n", "x[1, :] = x[0, :] # Verlet algorithm is not self-starting, so the second time step is obtained from the Euler algorithm while taking into account v_n(t=0)=0 here\n", "\n", "x[:, 0] = 0 # left edge atom 1 is fixed\n", "x[:, n_atoms + 1] = 0 # right edge atom n_atoms+2 is fixed\n", "\n", "for n in range(1, time_steps - 1): # loop over time steps\n", " for j in range(1, n_atoms + 1): # loop over atoms 2 to n_atoms+1 which are allowed to move\n", " force = (x[n, j + 1] - 2 * x[n, j] + x[n, j - 1]) + beta * (\n", " (x[n, j + 1] - x[n, j]) ** 3 - (x[n, j] - x[n, j - 1]) ** 3)\n", " x[n + 1, j] = 2 * x[n, j] - x[n - 1, j] + force * (dt ** 2)\n", "\n", "signal = x[:, n_atoms // 2] # prepare signal for FFT as the vector of positions of particle n_atoms/2 vs. time\n", "\n", "Y = np.fft.fft(signal) # FFT signal\n", "Power = np.abs(Y) ** 2 / time_steps # compute power spectrum\n" ] }, { "cell_type": "code", "execution_count": 28, "id": "d9f226ff-0068-468a-8987-8020540538f0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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p6Jfw52pLCz7YmIHkcM6CAS5/CRgYzB1gTExEEdjhuj91UJ1e7ScR0cPhiOUFZY+0MTs56LGzSA/n5ooUK3d6Dnxwg6szqz0Meh2sdDszfzxzUz2/04O+wLNL7w2QA3LzQJXLn1p3an1zp5X0taB87R+OWboLPzoYQZFverqTDajO7k354faXAFUhf662dOCDm2ou3uB5o70UDPDe34O5aP0sO9hJNyW1EcYxEqEmra8sa8UdPafASs0VXhZJB3IA/6ak/J0a9GY6Bb4D7Gg8SfQIpwUEmfNjqdYdm78EWMkAVeXvlBC4eqTtY2pMufw9HE6/c9DrYKXXEbs3xRLzA1VZNtzVlg58JALQ4Yilw9xChCIEduY3Cb5odo7ZYT4wdXC12u9iMGuFzDGeC6wVs2jxwdymxE03q+89tcBacbNkKlrnS0E+1sCorrUaMpUYqnWw8OzYx3LeH5emRTGqMkFUAuYGfXQ7UeKX4/6KxpKP1VHrfJ6dZgb982cCo4DXxZYOfKgHAchMbDkwoMCOzCZ4SmATHI7SZjkLugiG8ZxnItg3+IJnJxURSad5OP0pX6v9zlRrNUjF0BxzpWids7NIQtHsI0GwMxpPkh4mEkyLzsgBaYDIls4dzmmtuFPVcyxZkq5mrBJ0saUDH/1uB2sr0wY9HBUaqahPFgycWYjWeSOihYXEuMEDixsFx3imwCoLdLii5/kNnlun8EiQiQAW2YHTjJvuPMuii6FZ58rcvOQT02aBqvKrDm1qm7+/U4PpnvmY4f4eD9N7SOdKb+FnVDa/Dk7OfMYxcMDQMmA+hcX97OaB6smV2VgeBuajdltb4dsoFiMiXtS5oBsQi577mf/zALl0A+zOSv1Os4KdLLA6tcJbSjw/lmqDZztQFJU+vwkyrIPD0QTDGWt1RuD+UuF12jxN3d8TBn/zmg+1p+wzbfDzugF1YHKBnYdz96cOsEcM9zevwQCQBIgse/Qc83Gi303WuYS/kwO+e9P9qSIENVc4gJyPLSX4SDdBvommoli1eIcjnkZc89R9iqrp7y2O44VoXS0kjgNsPnLW/fEeKFN/nU6EtT6fv/kDM90kmHUDMz8pCOcbSyB9ZpwR2DzoB5gPsDl9kHp2R+OYZZ3Pz801xj0MWGTl1hKgyrEOFp/dScZ97OGc9klf55z3d2purrAxH3P3x8la+dhSgg/OqGHhQJltgIDMwj3JuEkcHE2S98jMU5aPWQ7nnE1J4gAbpLqgNca5Mn+gcNOj80zLSU4QPlsHaytd9GYltpzgap5q1v1x3N8CCBde56cYo9n5yqGpP74DbF6DAehrgTHtMlicKyzrfM4fN2s1P55rIe3SHEsmNsPCnS997XU7SYUGb8Sn6N8uo6/pgdKJ0s1W/Z9jU5qPLgHeA2y+GgRI74/jAJsvW1b3dnA0YanEWjwwZYFjMjdZDudsvxtA5v7UBq+vc16gml3nHL4eZ1gr/gNsXoMBpMwOJ9jJZ1r4U3RqTzkcTdj6mEz98QNVH1tO8DHgPKAXFxLnxJ4vD+VkPvTS0GiWJF0TOcC0TYn1AMs7MAUOMEVta9Ez9dw8OBrjcJx2bwV4N/j5wxlgptJzmQ+++5sHjlN/fOt8PgXJqdeZrxzS/fEEbIvpVYn7k5ori5qP1C/1Pj2exMlelTIffOedjy0p+GCkf2cLSZ9ga0zsQBzHWn18lv59fDgif4fGvL4E4NZ8LIIBTk1LXgQmoWlR9zfodZJ3aFBvSmosoyhlBNT/ee9NZyJkgSNvmieHJWMUEs7fnw6KqctDS0E/x7rLAY4SeqRTOSwZZype3V+/mwprqcdT/755jUnQfDTA0rQL/cNQUY8exSabPHFE9ORonLQJTujR2f8nMZL3lFCZOjTyollOqvnUYHFTYskFzwE5QOb+VHVNFEVsdHoylis9dGYAR+LecsEAY0owe2DyRetleiRqYKxXDqm0kr4mqN80m7cOTrEGbHlBBr8eSVoflNW08ASkal6u9DoY9GapcUY23MeWE3wwiiTVRqCiIICP3tbBzImZWluptgH6TV4tzBMasFpjAlb6d+r+OJkI9XzWBvzAEUg3AzWGAN8mqO7tZAZYpaWv1CxZrohQ4AA7lXl2fAdYGVClvr+8yqHVfgczDMlwgC1qrdYGAkCuEUEGn78zOSk66vvLF9PyseE+tqTggy+/lxyY/byIiJj5mH3far+TRLOdTho9UyNdBazW8sAAwwb/ZPadWX98m0Te/XHRzaPxJNFg5N8fD1DN8zWaxMm1UNnjHGDFqddRm/jJPDDAMDfzwRzPAa0OlBP9tHIoiiI2Qe2jnHs7xaiTy0u7SDMtCVAl9jeexAvdW6f+uIDqIqujxpKDDfexJQUffHTzk5xNnusASw+UXubfuZTpZSkllrE8Kj7AOMBOLnBkoiz3Nao8w+wwAcdc1kpnyQSAKqdeR3WgPdFfBMYcYCd/LTCt86NFEA7wMS15+8oaY6o6D+ywiqFLgCN1E7U81kr/M1faRWccuZuoudpSgw/qDT6O42RjzYsw2Q6U/vymxHNA7ydMy+K9cZSHpmBgEeywpMxKgCP1olW+up0oedU8wBet591bpgyc/P6KU3QcrFUeGOA6MOM4TsDViZx1Tg128tKPQHpAS7JkR+M4ed8SlSVANWedc6Q789YC9x7d60SJBkP3Ry44HS4ygBmWLICPeo0rQhmOJlDn7wkB5iNvEU3/zrPJ56VB9D9Tg53yTYKD+SgBjlwsUr+blC1PfXMfYFmWjOs9E7nAkTFFl3d/XPc2HE0SoXcWGPNEswcF65yLScpNd+pl4ExAPB/ISRUF8Ory5oHjSaY9Om8P0//epHLb5QQfTGkXvQV3voiQZ4NfoGOZ8pd5aZBBr5O8d0Ui4hPR6+RS6fxpEIBP5b+fpCWyS54rei4FjgzloWXAmIsZmPrg15jkAbmpb3V//OuOs4lauhZy9EEsWrJFoLomyDhO/fHs0XnpR4C/pbuLLSf4YKKg1Aa/oh3IAF+fj/0c6hfgU1LnbUpTSo8r112Seya+t/EkTsoZ13I2JXIgV0ilcwFjdThnmQ+u8tAyfRCQ1bxQ+tM3XS7Rohqr+XXOpsEoWOfqWR4Qr4UnBQeY8k/9hucnGguojKupmS701u9P/fkJsSCzcCz7aixp/RUxLat9nmfnY0sJPhTqpK6Pz4u+AM5ql4IDhSl6ztskpv548qV548lGNesC0DyNCVd0OT+WiaCWeixnG66UaPFoMbpc7XcS4RsXmNPnirpX+nWeH82uMh0oRes8PTBl7o/rwMwTJ7MBHe37Mv6YDueidCfbs8sZy6m/6VHP8YJMV1tK8JE8+EMe1Dl/OHP3+SiKiMSEb8z0dkY/MxtL6reHKjATRdNDct6fROUQwLgJqooJoQgsT6cQRZHAAaap/JkOsKJ1zg0GiqJZan/SB2YiZNfub3UmzhxNYtL3n6ixjCIkaSQAOLEy/TMbqzO/zplZpCLWivrZ+dhSgw8+lCvDfBRtglzNlYpKe5OFRPwq8dxoVrtXygNMX7S6AJRrrhzkHJZAugFTRyjF0fosImICO0V0M6W/w1H6tmXdnzrAuIDO/DrnOsD2C6h79ezYwJUQ2Mmbm6sr6dFEeX96ZY2+zpN7I09h5a8DLn9FwDFdCwF81Go6CqTs+LZfQI9yMQMHBRQbV37vSUG/geSAZgNX6Xj2u2menfL+qpkIodys2iSIyxkLNyVhIM5xgOkb+Ikc6p56nRcyEUwbfFUahJ66LwCOTMA4b52vdNMOrpT3VzQvuVmdQg0GdcBWdCas8OxjPraU4EM9+PEkxtGYEnzIin3y6ErdX5sX0mSS30sB4GEjinzxjWUBkBNmPqR1AxzRumJZep0oeWHX1BfvOtcPS0BjrYTWXcI4Ms2VxbUwHVvKdGfROo+iKN1XCNPjlWMpDRy5np1QStDHlhJ86A+GA1UXHShDpmh2fhNMDzBq4VsFHUvoTwcyEvTvk6Kx5GKRpDUfBaW9XAdY1VqQjGbp/RWMJRt1XwB2mIMMiQNT3xML1wIh2DkoGkuuFF3hOmBKdwrPTR9bSvDR70Ys1H3h4dzjQrn50fPqLPqjpvQqNyWGA0X/fmWrDMrtQlZH2yRIU3RJHr/eA4U7j18kWqQEO0Xrrt+NEup+yKEbkKoGqVx3/NUnAM9c0XVpqwvrnH7fLGKL2VLxs7FauDeuFJ2wPsjHlhJ86Kp7lgNsgYngBQPS0ezigUk/sfNemqeMY5MvSoOoTSOOQfryNcm0BFC2KdGPZealeUUHCgsYyM7LzDpnmJty6dXp3CxKr7KlcwWoe+VrMNczZeqfnh1I1nnBvKRO0RWuc+Ey8JB2aZDxUPf5B9iAi/kQjFCA4vvjSBUUVdYAPPnZqkULUOeeK+hRKd0AIxjI88cBdooOS92/SHqVm7VaEIDyANWDgrWXajD4WSSA59kVifS5UnRPCsZSXMjOpGnxsaUFHxw5NxPNB2Vb6SoqnXKixXGsdRwtQPGkLFK+4h7Q0lgMz27+AOt3O+jNIjIWnUJRF0k2wen8Jki/Dop6KUz9yYF+gIe6L2SRmFJ0kqLFsnWeltRzMIA5Qcbs/ihTZkVpF65UfFHahVsfVCw4XbJqlytXrmBvb0/ClbFx5J6L2iDrE4FSdFrdDIjOV+ZlWhLRc8GGC/CAnbIIjAPMSdOjVWkljg1+vpcCwM2SlT07DtYqf93FMe06l6zEOhynb6cu9MehwegvHkU8GpN8FinbAI8fGLO1Q6hgrZZKcLq9vY3XX3+d2421SR6YOuqVmNgcaYmil2kBvFR6Lh3bp9fQFPVoAXg3QYm0RMafQOfDIlAMMJXaFtyb/m8SYEdf50OmBni6ce5hYv6ODNYdZRVdaZDBwAJWpHnY0qsFz26p0i47OzvY3NzkdmNtnMrt+U2324mw0uVL8yzQvwxK6qKXaen+OejK+cMZ4I3A8vyxpOgKRJL6vKSi7rMvzeOPZoua0QFMrFUpUJULMrhTdIWdhRnWQb8bod+dT5kx7mElz44DOM6nXQBuZic/RXdAuM7juLg30tK9WO7GjRu4ePEipwtn42jmpNIceRHYgLEiRKKGXH6DL46IeOjRfDoW4AFzVawVQEfd69dd/HIyykg9H+hk/TFoMHLmyoChLLsor67/m0RfkbS5H0OKJ28dMKTopPeVot5IXP6q0qsTwio6nS2V6K/ja4tPgMj29vawvr5e+bnhcIjhcJj8nVKoVWYcB5halHn5yxP9Lh4ejGiV26N8lMtRXVO2KbFs8CVUOmeaJ5/5YAAfRRGKJtB8cjjOreCwNXVv8y/NA7g0H/mHJcB8oJRFz6QpuhJWbqWLh8MR6VpQ81xCcFoqAGU4wMrBDn3AVpZ24Vznpan4w0myZ/tYac+UHk9TMx9jYz7eeustXLhwofJzV69exdmzZ5P/7ty5w3VJGePYBFUEspozkagPTL0efd4fR3WNuu7cckaGDT4ZyxLwwRM9l9Gx/Hn8XreDfnemuicaz6RnSq9YACp3oCiwQzmWxZVRLAynYLSu90wpfDkZIXVfCqyE052sVXRC67yoNxJHik59T17PFK4qOh9jAR9bW1v40pe+ZPTZV199Fffv30/+e+655zguacE4XrSjosdBAfMx9Ufz8PXvmffHUV2j3ucwXzoJ8GzwBwZjSXlgDo2AI300W3ZAU41nEUM2/Te5knOAl/mQ0w0osFMsqKVikva17ylqJgjQrfOyEneOFF1trFUpo8rA4AqsBekUlq+xpV3eeuut5M87Ozu4evUqvvzlL+P8+fOZzw0GAwwGg+Tv85EZl7EeYAIUor7ZzB+Yuv8nR+PciW9rRsyHEBhImisxgJ38+6M/oBMwJ5CiS+4tBzhyRLMpCJeJZhVLJpWiS4CjwCav5ngnp2cKR4pOOi2R+pOpdik/oGnXuS4ALRJfPxyOyMbTDFg1p88HC/iYT7dcvnwZly9fblTVC0e+NN3k+VMFytdKd7H9uKquORxPyJmWPOaDZ4MvPpw53qKrwE4us0MMrspSZgD9eCb3VpYGmaXo5ueSi5WmHxneO2QyVziAo0RviicaKJ4PzFSK7mgc06XoytKPjFV0UkFN2f1R+yvrmQLQl/YapY5nKTqpIL/MWKtd9vb2kh4fr732Gra3tzndWRknii/dBInATtlhOfVHO7HLWZ160iAc0XrZ/UmkzAC+FF0ZsALoq2ty742B+ShlyTi0XUdlrBzPOi9iNchTdEdqX5FJ0ZWlHzmr2iT0QWU9U/R/o2JwS1M8DCk6X2NLuwDA+vo6XnnlFbzyyiucbpxM+sBM85fUG3zxpvTggE51X3qAMb6DoahyiMufRPRcljID6FMTyYFSAqwAuhSd0TpgmSuyKbrcudLjWed5KTOAPkVXpltT47vPMZY59zdgSXcWg7kB8Wsb1LrrdRZ7pujXQM585LYLoE/R+dryvtuFOGKI47j0wEw0HwJgANArXvgjMDWWh4TVNcMjkzQIbft4oIppoT1Q8lJmAH3uOUkT5IxltxNhhbgMTz4NUjxXqFN0o/EEo0lxyoy6qqAsZQYwsHIG6+BwNCGrrjHZV3iCmvL7o/RVyE730pQnpb+8e+tp1TWUb+f2saUFH9RpidEkhjp38ylL2k0iXbTFERFAf2Dmb/Dpv1Ft8mleXUaVbsK00N1bVcqMOu1ScYApHQb13BTQswBmKTOqaF0/KPLBFROQK5gr6t8lUmb6NdAfmEJi6JK1Rz2WVSkzNcbUAWJRz5Dk/hoiOl1i8DFDnUQPoiqPzyU4LZ7YxKmCsg1em+z0qYK8NA8fHVuW6yZnrQqeHXVqooz5AOhz3aVAjjFFV7buqNZ5BnzkzBX1b1TR87AKOPZpo+cy4KjfL7W//LGcPk/KSL1s36QGA8bAkfgMKgpIB8lcoVt7Pra04CNFubSHpf7durFVMBTmgpmi2ZyJ3elEyXXQl4fyC06rU2Y8mg+5aLYiAiOmf02iSxbqvuQAoz5Q9Fews/qrAI5cB1gekOt3I6giCbJovWTdDYiBo54yy5+bTEBOfN1VMB8NEZwuMfigfvApys0rYyKv/69gPrj8FU1stghMIO1yNC5PmXFVuxRGKIxzM98fMf1bFl0yUvdlqQIJZoDDX1XKjIu6z7u/KIrIwY4J80H97IDyuUkN5FaE1l31vkLrz9eWF3z0ZaNL6s6HZYJM/TqkNCZsEVhZ9ExEx+qLsewAo3sBVDmQGxDPlUrmg3gtpCLJ4uiSw19ZqoAe6JSnO+kO5yrmg+v+ZP3lMh/UoDiTMpPzV7nuBICc/u9B81GzJUpjIWEYNRNRJsjUr4NeuS0sniopiRsSUfdVKTPqRWsM5Mh0A1XMB4/+KQ8MUFP3VSkzPlGfVDRbwXywMTtCLFkZ80HMplZVmXH5q1x3AkAOoA8yfG1pwQdXtFclAG1rHj/1JxyBldT/xzGSTqE+VpUyo2fJKoCceO6Z68BcfHbU1H1VlZm4qI8cDJhqPvhTZgDfWihjPqj0QdJaK+l1Z675CGmXWk09CLK0hHC+rTKPT53mGVUdmFybUpVuwP/+qoEcFx3btFww9YHJD66qqszkRX3tDjLKUmYZf4KaD/1zPlaZMmNad9Jl0lIBoq8tMfioSWlMFoGZHpjUwjehCKzkgF7p0m5K1YJM4rliGl1K54KF5wpFSlA6j29ObbczyChLmenXIZIyI9YHVTMfXOnVcjacrCzblNkJmo96TT2I0STGiEBIKI06pfOJ1RoTOn9xHJcemBnqniQiMgRyQmXSteWCpVgywgNaXwdVKTNa6l5orggHGVXMB2VVW1XKjFofJK2JkGY+zFNmIe1Sq+mLi6KK4cA4LcEvyMz6I45mqyIw4mi2urrGfzyrBJmrxIu2skFcbbng9qUKKuflzBeVPqh5ZdJMQFVgrlSlzPQgg5Ilk96jxdd5SLs02zKUHkGUMqwSZAoKtbL+iJsdCSykYab6hF/AK90MSBLITf3Jlk+a9xWhS5lVzUv9s37+ZA+wuvRIEunVqpTZ9N/p9UFiwNHUn0CV2dRfqHZphHU7EfrdKacnI2aSE2pl/JEtJLl8qQI6nQjJM1r0Rx+BiQsyheZKdXUNdR7fNI0lJxYGiMBOXdR9ZcqsfZVYVSkzIG3QRRIgSqfMqvwJ9teZXgdtetXXlhZ8AOmkoKh4ORhVHc41VTBQNzsSSPOkQKdbuClxRGBVG+6YTB8kO1cqq2sIDzA9hSnBtFSxLFGUvrWXgro3PpypRYviZdly6dWiZ6f/TFbzMSbqHyRbAVnJfBC3e/C1JQcf9AemGHVvjKqpSolNUwUUQK580U6vQ5CO1f6d9MAUS/PIiYX1hm3Fm6DcugOo0zwVhzNXuaa0PwGWrGpeZv1JMB/Tf5/ESN4BI+FPnPkI4KN+I11IVb0NqCk26eoawWoXkwNlhSHtUrRJUJf21tbuXIBpUfMyMkqZUbBW5czH9GfdzGd9zDi9KlXCTzhXMlVmAjqFqpLsjD+JlBlTXxH5V1KEJmONN1LRomFvAzLqvpKOpduUxpM4qRSQKEc9MDpQKA+w8mfXyeiD+A9M6tysZE8YPU1QnDKjP8CMomdC3UBhx1FpYTnhWB6OJ1DZBpm5Uh6wAXpKUE4sLOaP66WAQgJXX1tu8MFwYFblZgGa0t5hJR3bzXzOy5f+4rVKVboQHUv4Ai+zA0zOX/JSQKnqE9KxNEmZ0R9gpUCVEBCYdsmkCjIkq2uMqk8ID8yqgE2/DgkmQtcH0c4VIXba+P1bAXzUbinzwS9mWsmgasrcc/lEoxHZ2WxKlILTBh1ggv7o39dhynzwR3sAsT7IBjiS3l/5gaJ/1scky0MPtJSZnmrM83dAsocZMB+k4mQFdpqiMZFOmYW0S2Msfb8Lv3KbrbRXsJdCrxOhV7gpqbGk08+YbRJSB5icP8oNdzyJE6atCb0UuPwZAUdSZqdAH0Rd2iuo+dBBf2WVGeE6MGM+CANEYX1QdRrE35dZyixUuzTGOIR20hFY9USTji6lKhgIDzAj6l7uwKRs/a8zX5Kaj1Lmg6N3g3g0axJkSBxglJoI6eoTE80HXUowTfMIz00J4GjUsI1W4OprSw4+6EsMy1A8Rz6xUnDawjy+GRgg3CSERYuHVcCRsPV/poV1VcqMpOmXDfMh5I8lvSqjD6o6MDn2MCkwYMc4Cu8rgtUuFEGGScpshTDYprDlBh+kSmqT/CVHxCegwbDJ4wt0rZxeCyEdmzw7Yfq3SB+kl/Z6zhX17MpTZtNxlnh/BlDD3BRkPij9TbSUWWF1DYcWSSgNYqe1ohS4SuuD+IsQzFJmIe3SGFvliBoEDsyj8QTjWROcIrCjDrDD8QQTz4Y5VaptgFoYZtO7QYqOZRC+FTy7XreDXodGHyTdyMlsrshFlxl/LQPGGSq9giUj0VqZMB8sbLFsetUoyBBgjCmLEIxSZqHapTlGG4HJHZhVb4Oc/jshqhaOLtMNXjYCK6fu5ZgPgP4AM6OaCUWEJgeYQC+FjD+x0l4af/rzKGY+pr4oqHs75kNqLOnTq+L6oAJ/lEUIVa9s0H8W3u3SACOt0DCZ2ESbvI24CPBfuJKHJZAuDrM0D6UAtBlCNIDuABPXKBi1xhdmPupq5+697kxSZpT6IBPNhyyLpBhcsfQqkT5oMolTbVeJP6r7MxMLh7RLY0w+VUC1KaW+ivJ7vU6EGXMvFD1THmAmzAd9GkTC32g8Sd4bYZYqoJsrlb6k0o+UjaqsWDlCnYIIa2X+7AA66t4kvUqjD5IVgEoyH9kXLPIHGdK9kShsycEH/SYocYCZgIEoisjTPNK6ASPxLmn9P7+/gwxrJacbMNlwKfRB0nodq+oaygoNgTSPCZDrdTvokumD6kqvNlHz4bnOtd+X0JhUvXsLoAX9FLbc4IPyVeKzxbHSFThQDBD89OeCugGOLpliuWcDf0RzRd/UJPVBJqWoACF1L9VLQbpc00RQS7buqoGc/nP/fUXu3qbfIatTkBSWq9/vlqTMpv6IzwSDPeVoHCcFC3XaUoMPymqXBHwYUIi+lKU6IIrquRN/RB1czTQY9CmssvvjeB+JhGjxQJsnnU5+ygyoBzgChNS9GFC1oe79/GVSZgL6IBMgp/+cam4asToC3WKn/ugFrhL6IJNuqgDlvmI+lgBN2szXlhp8UG1K40mcbEql4INooh0aHCik/sYGwKqXAqs49kPVKZCTSbuYjCd5dGkIHOk0HyXUPaE+yEhE2FLqXv99GX8zEG7KfHgHGdUM4CqlBsNCS0aiMbFKK/GnO6c/l2Q+tCCjAamX5QYfRC9J0heGyQFNBT6MNyXPiWbE6mQmNr+mRdcp+JrN/VEBubINfuqPFjhK6YPEe7QICr1Nqswy/gSAHKk/ixe9UfYPEm8mKKAPMmc+iIMMIX0QhS05+KA9nIGKVAFR/vJwbBgREUUpqZ6letGS+jM5wAira8pTZjT+TMYSkAWOAH2axyT9KNXng6qttNrg+93ILGUmUKk0/TlxxYSB1gqg7B/ED/rHkxhH43j2ndVg50CK+RAsQtB/3oT3uwTwAYIHP04nqmoak+uPuKyq+gCjPTDLJna/GyEiou6N0jxEwGqip8wEhGH2YECWJaNiASVYJP07JBnHssNL/znZgSJE3ZswH/o4+/ZHsnsZJw0jN/VXPFfU/fmmecyBYztZMgpbbvBBHM2W9d0A9IYy/BoMdT1Tf/xgYErd06BquwOM5t7M/UmBATngmPEnyJINSfVBAlor6XVn+OySfYVI81F2f71OGmT4HtBWVWZEmgjAjPnwvjfDikQqsGNaGdUnOoMobLnBh3Q0SyxmMvcnlSogFtQaHmA+pv++xAE2rAs4NijNQ/nWXht/ZPdWMZZUglpTwWlygPmOpWGQQRVEDQ3YAeXLl5FTrE6vEyW6h1x/RGNp0lNE9yfRE0b3R6GV87WlBh/Ui7YyuiTKBdcFBprEtFCzLEBVaS9NhGKr+ZBIgwCEaZ5kLZiV/Pn4i+PYCFyRlZwbjmXyUkcBEK5fj/86N4ueJcEOORMh9OxMWKSMP6r38pg+u8B81GvUm0TjwACRsM84WhfUKejRrA91rx9eZSkzadaKaoM3Z8nk0jz6OvHxZ5syI1vnQhu8sT/qfcwwyKBKu5Ttm2RjabiHkQE5AxCu+yNLYVX5I5orFLbU4KO1pa/W1H07dQomaZBJjEQwyuVL90c3ljKbUgquDDclgTSITt37+NPHphzsqM6OVGNpeIAJMAP6z6nmihQ7YDJXyFiWmoCjFBMhDRwpbKnBh/iDJ2YGmiQi1K9HIreu37uP6t6+GkRIN9CVZcnqijB9/JmmzMiiyyNLDYbQuiM/oAX8ZVJmBizZeOLXEtw6ZdZSsGPqzxeIU1gAHyCkD6WZASEwYC18ExBl6vdOcYAZb7jSefW2gQ/B8VQHRK9T3ndDHFhR6QaEo1nJuTKaxFDZ0kEJK6dfi8+BKb7OTVkyKrCjWCshoEphyw0+Zg9qNIm9uvWZ5C4B+rSLVBmXbcmfd0RksAl2OhF6swPHi7o3bNhWGzMgHoEJaVoIDmjbe/NOg0hT6Q0FO+SslUHaRb8+J3+mGgzpsRTW61BVKlHYcoMP7UH5HWA16QakUbzApqS6EALlERGVP9NNok9Nxxo/O6I3o1YBY7L7sy0P5U+Z6Ru8lzjZMsgQB45SmhaCA8wYfFAznI0F/e3yR2FLDT6oWoKbdj6kq/+vi0o3655HQaUDshGYaTQrJt6liohqEi1K9MIwZRyz1D1BZdQxTGFl/Akc0Op3uxV9N6jFyU0FA76s3NB43dG9qM/Xlhp86K3QRVG1MMXWpgjMNCICaCMwMWq78WkX4RQdBZVe+ZI+IobTeK7QbPDmYyktTva/P1NgpV+P31wR1lqpdK4QcDQWQxOdCRS21OAjiiKiA9PuwZO1eTalf4U2wT5hHr8qIgLS8fYSotmO5ZiIum9a9KzmpsdYjsYTKOmUJGtlem++/myZFrLS3qp115tpn4j2FQngaMre6p+RnCviAWLLGE4KW2rwAdDQ29ZKY+9S1IaKJCmZCKmIyBIMxER9RcQ6LZpqWmpKmXmlQZJ7K08HZsTJkgJXMtAv3KPFML1KUn1iAj6CONnYn1RlFIUtPfiQPMDaKkST1JiYlvUCNJuu7Sah/46PP7EDTLBiIpMyM2aS+AWn+mcowFXT0p3pgSLzjirSsbQJMjzmisseRtI52fDZebNkhkGbkho0Ie3S4/ri7e1tbG1tAQDefvttvPnmm1hfX+dy52x1RM8+0R6gt9IVzgUL1JDb0LGUAlfTAwWQSfO0UfOhfrcTAT0BetuUcQSm97d/OCYBO2Its23nioe/ySROGD0JcGXyUrnEHwEQN06vaqzP0TjGSq889VvoT3DP1H8/vNsFwNbWFl555RW88sorePHFF/HFL36Ry5WXkaBqyxI13259kip4vROhxMR2iogE0jy9bgcdgleJ10bHCpSH1pbHt2DJJMTJtTX9IgDFNv5IwEBD0y6AzFqgFieb+ju2fT62t7dx9erV5O8XL17E9vY2dnZ2ONx5GcWmZPwGQyrqXlBcpHcilCgPNT2c9euRPjDbVF0jCRxNBZm6P4mxBGjF0GJvfTUWsvsfYPpzEOlO21CgWld6VRyoNgB8sKRdzp8/jzfffDP5+97eHgBgY2Nj4bPD4RDD4TD5u0+ezcUkUfz8xD6xUk7fFvqzPcCkSl+PcTSr/B0cTYQa0gmnXUijy+p5TULdW7BkpCk6S4azqmqr0p/gugOyLQi4/dlpPvjXuaqyG09imblCcP5kUmahvfqU7VD2la98BRcuXMjVfFy9ehVnz55N/rtz5w7XJeWa5IHZ60RQb20fUgjtBCMUK38CAtCMP5JNwuDAJOhvkLID0q3xDf0RACuxZ+cSPQs2qtJ/x8ufSMO2lGWJogrwkQBHjz1MOu1iow+afUaimockQHSpMmsA88EGPpTt7e3hxo0buH79eu7PX331Vdy/fz/577nnnuO+pIxRRnxVG3ymWx/FASYRzc4mtrSI0OxAIWx2JCVwFaRHrUSEwmmQNlL3thUTvv6M0zyUVV9CWiuXdKdYaa9kepVwLE38Ub1GgcLYql2UXblyBTdv3iysdBkMBhgMBsnfq1A3tdWxCQ5HE1nNh9ii9RczuaRd5O5PMHqee+lh2VtbC33ZRESU0V7DerTo1yRBpSuGM44Vw9l38yd4gNmAflIQbsFESIMdEqZFQJzsxE4fd+bj9ddfx5UrV7C5uYm9vb1E+9Eko8it21B6JP5shW/CIkKSw1n4ADNKFQgeYBSqe3ERoeEbggGaCMy0hbV+TRKdjKkYTmt9kLR4t41MhA3YIdnH5NKdRimzZQAfN27cwPnz5xPg8dZbbzWyz8dAmLonFfYJ6AasRIQE+UTTd58AsiJC/ZqkVfeum25tIkLhtItYrwjB+5tM4qQfkKTWSpoZkGIchxb7GMW+Ypsa92m/YJUyI3iNApWxpF12dnbw8ssvZ/5tfX0dly5d4nDnZdKbLmUbaxsxUxzHTiktKxEhaURkDnbaGIGZ5vH137H2ZRERkfb5aBiQ069JMjXxEO7j6ZIyk06DSKwDoEawIxxkuFZASgNHKmMBH5ubm+Ils64mXfLnu1HoCNlqYo8nlYLYPKtNkNnEXDChMt2Uuj8cu5f22kVEdAxg1Vtmp/78I7C6WCubCNMXOAJCosW6DmehdW6aMtM/I9H6v9+tC3z4teKnMFbNRxuMpEzN8HXGGX+eBwpgLmaa/z0Xf42MZime3chBN0AxVwT81UalG9wbBQPoJCJsSWrCRUSoxMk+/sTG8hgLXPWu0KbvWgHc2y/YaK0onh2VBfDRMkovsykJUPdWL3oj2ZTs3/kgLrRr2VxpGtUMEKcKpA8wyWfXNRcRAh5pnhYEGdI9aJy1VhasVRRF3uNple4k6pxMYQF81LTpupY0KnQcRUheE15k+qvEXV9mJ14N0tA0COD/9tCMiFBgPF0iIq80yHEHOxZzpe+ZVnK5N4AAfJisA8p0p0lzP+l9hTBANNk3fcezrZqPAD4ouvUJiqdsIiISfw6RulRJXN8TDGT8CURgNhFR1p/b/blGRK56LZt1UJvA1etNrHLsgIsWycefU3fa4w5UCVLjEnNTGoRTWQAfhGkXq01XYFPSP+d9gAmJmayYCMrutNIiQoGXr7ls8IAHS9bQsmUqf1aiTKpo1mAsO50o0Q74+jMRpdeVqqZg5UQCxNl19jqRUXNAsgBRCIRT2dKDD1oxE395qM0iml4T0QEm1JxHXERYl15HAuw4aCIAqQiMoLrGqgzcr/tuHMeiYMcmZQbIzhUa4OigJTuGWitpf+ozR2N3cTKVLT34IE0VNCwi0q9J8gATU6XXFD375vH7XbuISISJIBEnCwNHwQNTfwYDgyDDN63kznAKRM8tYxwBuxSd7z5mDT6I0jw2rA4AHE3qZT8C+PCc2DYv79I/46ukFkPVDhHDJAZGLclfOkUNI89yxgYCR12c7E//ClH3Doyjq9DbWa/TkiDDBTiS9Gg5hpoPG6CjX5PIHk0QZFBZAB91iQiPOar2jsAaKHD1FScnaYK+WSOhNHp29GeZovMtJW5ypRJpykyS4bQMMiT1QRTiZBtG1RU4ZvpuCGo+xNMuQgwnlQXw4blobV7eNf3MLNctwAwAhBSi0MR2EoZRdKdtYjRLJHCVEic3uYLB90V2yle3E6FrIyIUAOGAsD5IY5p8S/glRJKjSQyFkUxSZkmZdEsCRBvWKiNOrll0GsCH56IdapUdVS/vAgjp0QZSer1uB2pfFgE7nvdmKyKUrlTyZSJsSkP165LYdElf3mVUlk1TDSI9lsbC8p5nUOPwhmAffzZrgYqRM/VHVvrawPSqfl2B+ajZFAVO8eCN+m74lsQ5R7MtoX8FyxkzIkKBF9k1eSwBOqbFSERIIji1qJjwrK6xrz4h2lcaeIBlwEcL1rkz+BACjt7stIXWCqBhHSls6cEHmSZCfJMwnGieFKJNJ0Ldn7/GxLyigEJEKNHB1aaiAPA/oG2ZFkmVP8mrxF1aZnuOpTkTQTM3jZ8d0QFtcn966kkS7PiCcOOUWW3pznYENVQWwAcR6jR5k2fG33Gl9Hp0TFK1L8KIqGFNv/TP+UfPlhGR8wFt37sBaNdcEX92UnqdmjQmEtou2z2TCoSbvkWcKvUvBXaobOnBh6QgU/+cuz/zF68BBGDANgIT1EVQbUpinQiFc7P1gR1+8DEaT6AIE7veFPxiWoBuHdgyLeJpHt/KrwZqrdrGRFjrg4LmoxkmP9F8hWF2/nyVzTZ5dQp/Lu8jce3WJ61Kt3ljr/45OZ2C3Cbf60RQEimXV4lnUmYGrCNZ9YltkCG1rwg+O/1z/p2TTV4sJ8em6p9zHkvX9KoQcKR4OzeFBfBxjKNLgJBCFFtIjtS9wyZvfTjXFl0KRURUB7SBvyiKvNaebcqMjkoXmiuOIkLx8lDJlJkYcBQGO77tF4TZaSoL4IMK5TY1F0xVwWCrafH1JwA+xMuW69rgm3p/Hv7U73SiaYk3py/998SZAWngKBDUuHaFdhUnD49sU9WzZyfEWpGVgQfNR7tMfxAu3fqcNR+uaQmLwxmQF2uRvcjOomJC/z0uX0CN7+uQUt1TpQpsDzAf4CgMwsXHsqFBTd/j/ly7QgOO69wxQDwSGkvfSiXpIIrKAvjQJojLgSldzpg0jmropuQDdmxFhFTUvfWG602lNzMCk2StAD9AUFvZsvUGL9Mav03pY7WHAXbaLld/dWm7Gss4ErzagMIC+NAntguKTx68TIMX+wjM71Xi9tG6e77UNiLSPyd6gLVggwean1bqE6RdbNedmDiZTPMhE9RYA0cf8DG26wqtf8ZJnFzTOmii1irjLzAf9RoZqhYWETZWJEklIhRYuNLRpXiqQN2foV6nTf0NXDd4QDjIkF7nrsxO0oqfv5mgfm8mXaGjKMqAR2t/woLMJot3p5/zE9RS2dKDj8yLdpw2wZmYyVSQWZeIULxLpnuEEkVIXu9eZZJpl7amQST0SLYiQv1zLuPpqsHQf9fJnykT0TagKhg921bQ6Z91YloaLt5VYMC7z4eQ7pDKlh58ADS5Z9tSVLkXTs0iBulNybP6xCQi0v25jKfPhusjTjadK74CV9HqE+mUmSMj5+2vocDRJ4Wl/54I42i57jL+BOeKGHAMaZflteTlcp4Uool5C9Fc3/kg1SuCQkQotCnZaiJ8XyXe9AoGHyCn/45kis703vwZTjlNxPT33BrEtYGVs/Ul7a+udedbXWOa7gx9PhpkotR9W0vwBN6YaLvBT6+LJvds5Ev7nMsLw1zFwnLVJ/4gHDATEQJEwNFlrkiyZC1Y53Eci6aVvMCHRzdcl2fn1X6h6WdCSLvUb14RX22tdBtaXZNMbP6eKRl/ghUT3v6kxckSwFGbJ6YpM5+0ku1hqa7N2Z8jde/7JtaQMkPms07pVVshtK84WbpSSVgfRGUBfECY0ps9+Ek87Wtha9YdVT3oWL2joGjpa0PTLplXiXs1xhICjjVQ6TYiwjZR985vDhUSEfocYPrvSJSH2u5hgF+PHdfUsa8/qbni2mXbFRhTWQAfqI+6l9WY+G1K9hSiRz2+xaaURs8y/kSpe8FusfrnxMBA8mJAWfAh0UxQ31OaTt1n1nkD9Tr6ZyXXnbM/V32Qw7OL49iaSQovlmuQSeaeM7qBkcum5No9z/1wdvMne4C5bUp273wA/A6wpCxbSJxsz5K5szrSYMBWkAnQRM+26yCOkZQgO/kTZBx7nQgd0xJ3r2fX7JRZRpwsWAbu8ux04XvQfLTQJPOXVK8Sl5hotp0IAT/61zYNMr2uFkVglv58NBEuEZHfAWYPBigOTKs0T10Mp6TAVVwAKuOPZF+RCmoctVY+7QIAuaCGygL4AA11b/rgqd5HIlL6qi1a274b0vX/YhEYwQu1JA4Up4jIo7rGBThSVNdIHWDS1H3acVQu7SIOHKXBQEODDGl22rcBHpUF8AGaPL6pkhqoKXqWEhGSACuHsRQCO5Lj6SNO9omInDqONnyDp/JnOpa9bgcqgyEhyqRIHbcCDAhXRknrg2xNjaVLysylVxGlBfABoujZSSQpl3v2AlaGreN1f1JjKanX8fUnKU5uhV5HOEWXHmD8LyfL+LO8v0zKTKCCoS4QLldS75ESbHiprfS6o7QAPtAukaRk695WbBKCIkKA6AAT0A04RUTJWHpokWze11FTHt9J6O2SEnSsVtIj0oGhboDinUpiAlCPsRRLK9Xwzig3htN9z3TthktlAXzAfZMA7JuMAe4HtNPLu5JyRvtXiXstWo9NyeqFUy0Cjrabri5OdgUfUtFeolEQnitO+iCPA8wuJeimoXFq+kWin5FJHYszjg4aE8m+In1tv7N9fl4MYGA+6re20M0uefx+z31ityqPL3SA9X2AquVGoYuTbf25REQUgkyXsmW5ueIuqJVMr2ZSZgKaDzcQTjCWhqwOQHR/UkGNo17HxZ/fHh2qXWo3v9SEez7RNgIbumxKPqi6rrdPCtOjzT4w3ebmgWW1hO5L4qV5+mfFK5WEo3XbJmrq+vSOuqa+fMTJLt1pj7042fL+RuNJ2hXaof1C0xlOSgvgA/IUoiul5yQi9Cj584oYfBT+wi26ncCH5f1lXt4lwEZ45dWlwYBXGkSWupcAOz4aDKAFDKcLK+cxV1z26IFgysyP4ZQF4ZTWq9V7Q4zkDY0Sm5I20Uz7bqhufUfjWAZVU9CxDU67uG66o0kM1WXbVEQIEBxg0oezEP3rBeSkWvE7A0d3EaHyt7Zi4c+LceTvjQTIp12cn50DO60+OxxNnIGjzViePdHHH/vxp7Fx0mKSMFgAH5AXM/lObJtJDUwX3dF4bO3P9kVo+rU1XT+T8WcBBlyBqs+mBHhEs44VDHEcGwNcoPlly1T+JFrxu7Gp6bOyXucNf0Nwxp9UysyxIkRdXxRN0ymmNuh18BAyZ8KnNtbwv/+5P2zlh8NC2gU0C8lGBe8rRLMGH3UcYMKbRNM7O3qDD0d/Locl4DNXHFgdrwOMn0UC/NJYQ0t2wOXZRVHkDHa8xLTSY9lwhlMXlduAd9e56bJnNsXad8UM5prf039HUohmAwZ0f/YHmMeL145rROQK5GaftxERZvwJaj6c/AkfYF5iaMtnN57E1iLCjD8hhtNVF9EOAaj/Hi3CTjvMy4w/oTOhCda+K2Yw14jBpe8G4KP5sM8F6593FjM53pvtq8RdNgmSCExAJGn7ro55fxLRrBf4kH6xnMeB6TqWrv5cgapckOG3zm1NujeFE0smyDhOP+8GrlxAeFOsfVfMYK4HiouyWf+sRC4YSO9PgmnRr822ZNOLHm162sUTOEpERD6vEpcXEc7GU7D6BGhuyszL39hhLFuy7gDPIMpSnCzPTqt7MwdWTbEAPqA/eLuJlum7IUnHWk9sx7IxDyodEKJ/CaprJA5MZ+AoHBH5HtASZcv677i8d8h+LKf7grWIULBSSf+8JHB06pws2F49kzITYFR90y7ODGdIu7TTKESEutq80p9jK2TvTUngAKPpKyJUXSMoRHMGjt4HmF1EVEeKTqzJGAGLZCUiFD7AnA9MDyYCkNnHfO/N1l8dFYmA3JnQBGvfFTOYd2621/BNSXBidzpREh2KgB3Hw9JZROg5lva5YDdWrjb6t8EN4iQPZ/3zEu/ryPhz3Vcc1oH++8b+1LOT7rshuM6lAkSVFrLdV5pg7btiBvOlR20WEeDBRBwJ54Jry1/KbRK2/tTYq2dh7M83mnXd4C3SEoCsHkk/nF3FyRJMi0svH92fdPQs8uy8xMl+c8XG9JSZFTvtuw4avGc2xdiajO3s7ODGjRvY3NzEzs4OLl26hPX1dS53XiZeEicYoQD6QnLsN+BwgO0fjh3EWu7Ct+GR273p32Hjry0RkXyaxwLIzdJrcTztAGtzOLQiZeabx3dMmTkzLZYMp2vnZK83IHs8uyaz0666wzZrPtjAx8svv4xbt24BmAKRn/3Zn8X169e53HnZcc/vUbRzd/EnoRtwZQZcRYStqWBw9ueoR/LokglMr7dv+LuTSZxUUkmkedzFwp7p3AYLywE4d072AY4SJef656W0Vs6p8VBqm7WdnZ3M3zc3N7G1tcXhisTcN4npAWa6aS74E15Irgu3yQcmRTRr14nQ74VTzlR605kWX9GihT/nEndh0O/8cjLpIMM3VSDaOdmSGfBNmTW8EeTQcY9ugrFc8dbWFjY2NjL/trGxge3t7YXPDodDPHjwIPnPNvdLYZK5Uv3zEm8w1P01PlXgkXu2fZW4N5A7hiJCQLY8VO/2ajM3ffvriAtOhUC/tzi5Beu86WDApSu0n7/AfGRsb28v9993d3cX/u3q1as4e/Zs8t+dO3c4LqnUaiufFMjN6p+XjtYl+w3Y+nOOiFpygPmnCoQjTBvmw7WCoS0iQukW3Z5rwWY84zj2Sq8OR3bi5Np0eQ1nOJtgolecB0peffVV3L9/P/nvueeek7wkANlFazOxk7yztLhIiI5NN13L/KXgwnWl7n3bnbs/O0cRYcPBzqHjXHE5wFxTZs7MQF0l7g0WC7v608di4NDPR4mTjf1J63WkU9WODGcTjEVwur6+vsBy7O7u5la7DAYDDAaD5O82mwmVuaru20BXAmm1SpMPMFcRYa8TIYqmz85lE2y8iFBcp1DPXLGpxPLWYDiPpQxwFGc4nYGj/Xjq1+bSnVZ9h6nOzr3Tr7BeJ6RdaOzChQu5//7CCy9wuPM2d+GbZ37PUeBq21dEssmY/nmJPH4URU6anbYczvWVZTc/epY/nJt9oLjqkbxbgluUuTunzBz7iogLQGt6KWAQnM5sc3Mz8/ednR288MILje/zAchM7Nre+SB1gCkwYNGIyxV86J93icCkwUfjNSaueiTBluC+aQl7cbJjkOGax2/BW20Bt6BGfbbXidCxKHHvdTtQH5dY57WB8CUqtWXr83H9+nVcuXIFL774It5+++3G9vgAUtX9eBKLRM+um4S/xqS5EZhrRARMD4WHsLu/Yy8iFAQ7cRz7R5gW9+ebllD+eobXKs20KCZBXtvFf38+aYKVXgcHRxNHf5YppbalOy1TZk0wNvCxubmJ1157DQBw8eJFLjdkttLt4MnErmFOfblZoQjM+QCzz5e6iggBt34KdYEB+2c3vTeJhm36511FhCL+KMDHaIK1FTt/7kBORuDqXR7q2IpfDHx0p+DDKkBsCYsUNB9LbC4lhmpiOzcZcy61dRSGCZeNSUZEgCsd6xYR2b5KvD0iQvdnBwiV2joeKEqcbO2vJRUTzu8BEhRDu7IsgF9Q494zRThlJtR+oQnWvitmMq+SP9dccIOjWf3zInSsR+7SC+w43hsgm3tudB7fI2UmqddxFSc7iwjr6jjaYD2Szzp3AVeqiqrpwNGb4WxhqW37rpjJ6jjAXOnRxh9gLiySV0Tk8uz8KpUAN6HdcWxI5yoi1P1JgH79dxotThZkHEfjCRSB53p/4s9OUJw8nsSynZND2mX5zGWjOCLoDOjUrU/gAHPtRKh/XkI/o/+OUy7YcYMH3MBO4yuVasjj2/obOgJH/XdE0y7SugGBEveMPwEwoP+OuD7IJcgQniuh1LbFJhoRaXl4VcFi5M8R7DhtuD6bkrTmwyNVYLsJ6tS9xP2JN/1yECe3JZrVf6cNmg+JHi11pcxcDksXXZ5zk7E5cbKxP1etlWvn5BaX2rbvipnMK395DHUD4puSR+6yjpI/a3/eLJndpuTKDriI+vxEhB5zRSrt4pkyExMnewCrTgTj0uPEn7S2S3Cdt0GcPJ7EGE/su0I3xdp3xUzmRv/KompROtYDfLQhF+waEWX8CTAt4u/rqEtE2OC54ivIBJpL3fukO12aJVIwnK7vAbKxNnROzuzRgflor0mmXTKvEhcUT1m1QSYQEcofKPzvBwGaT91nRITHUvPRDpbMl+GUeG1DbYyjgz+Xd1QdtYUlC+BjeU1cde/R30Cir4h8WsJDRCio+QDc5oovS2ZD3es6ImfNhwuQk0q7SEfP4uJkN92AH4tk3yHT5dl5MY4e67zx4mQXED7bM6NoGiS2zQL4mJmPKNMWDAAaincpR3XWDQgDK2kwYPEuGYqIyOqAFtQH+URELr0U/DZ4e42JdDTrKiJ0pu4F38TqJQD1YgA9wI6UxsTj/iRYK7XfuXSFboIF8DEzye55gF8EJtFFsi3UdsaflOpeMu3StQcfPhGRy7OjAXJSc8Wj9b8AC5gREdoCx74HKPYYSwkNxtSfbJpHUgztxnC6P7smWDuvmsHqitZFyzXH5n1FfCa2C4vk1efDp0W3sGjROmXmQN3r89I2ImpFBYMC4Q0vtdV/x/bZufiTbJQIyKfMxPcVQbDjxHA6BqNNsXZeNYPVFfGZ+qMQEcYxMDJE1eJMBIHwTTwCc7g/242i04nQ79qJk1slAPUB/V4HGH/KTP8d42en99dpjbbLZizdtV3Sc0VUnOzAcPrsYU2wdl41g9UWrVuiXBd/LqW9fhtuTdS2Sx6/4UI0wP0A82vk1OADrKYUnZ8/s/vTn7ECnba+bKh7ccZRXMjuDxxNgxqvrtA+DGdgPtpt0tG67QFGQce6+PM6wJq8KbVx0xWIiPw0GDIiQtcXvem/I6btshxP/fByTZnp32Psz2cPa3CVmei68wgQpRnOJlg7r5rBmo7i1edcRIS9biftK2J7gLVBROij+RBIu0wmcZLuctvk7ZikNo2l1wF2DCsmEqDjAawA2XUuN5bSAle3defqz3ad+5QtN8HaedUM1nRUrefVXcqqXKl7sVJbQRZJ/6wIcPSIiPTfMY6eKVJKFuJkCrBjUyZNcX8u69ylpN41yPAZSzF/bRCA1gAc9d+18ifIcDbB2nnVDOaluvfZdAXAgP57pv5qK7Vtkere9tm5+rMdT5+ISEVfLuLkNmlMmhpk+Phyo+7d3rYMeLLFLVrnpnqktO+TfVdowB3sBOaj5eajpJaMiFzLqiQjsKYzEYAncPTR6whUhFBs8Pr3VPqrqdRW4gDLiAgltF1jdzAAuDOcTmmeYy5Otk0J+jIR7gynffqxCRbAx8zkVfeOeXzXie16gLWi7bJHdY1l18qMP4dNySllJkndu4APH7BTkwBULGVmeX8+jCMgy7Q4sUg+rFxd2i4hJsJ1boa0S8vN9sH7ighdS21dJ7Z9BOZ/oIwnMUaSm2BD6//FNyUP4Jh56aGtHqkNaRCPPL5T+/i+HBjQf6+x4uQWpV2s050eTDjgHiCGJmMtN2uKjUpEaCi0O6ptU3KP1AHZVEFT0zxkwNG0V4RnRCSZe/YqcRdICZKlzISBqrG2i6hSSUScbPnsfPpuAOmYmAY1VLo827li2w+mKRbAx8y8OhF65RPNDhS1AJxRte0BJq0bIInAzFNmfqJMxwNFGAz46oOsxdDSlUoSFQWzz/U6jiJCwbHUf08SOFqJkwV7tIwmMRQmGrikV5vOcIZS2+Nh4iJC6YktWGrb60RQ0gZr4ZtA9BzHMY1OQSAtof9eYzdBr4oJe72OZLlmm9Ig099z1CNJ64MEUnSZPVpyrjgCR+uANFS7HA9zVhpL9d2oTUlt78/lVeKS1TVH4zRKa9MBJh49S6bMrPL4cmDHH/S7i5Od/DlT9+4g3MofRWWU5Vh6+5NiHJ3PhFDt0mqrKzfbVCHa0HNi295f8pI+CXrU4+Vdur+mggHfiMhZnOyxweuvkjf25/PsBNqP6/7E9EGC7wHqdTtQmagmdlRV16SLqK38CRcFSAc1dVs7r5rBnA8U4WjWF1VLMBGAhy5CWkToozFpKHBskz8f6l6yR0sbxjLjz1bbJX1/kuJd3zRIYxlOv54wdVs7r5rBXJkIV6VxXRPbPDUhqzEhyeNbPjvniCgZy4Zv8NIHmAB1PxpPoAgSCXGyNAgn6/MhLIaWCKJsKxJr01oJMZxHo+lCCKW2LTfnTaItE7uuNI8Ava1+x/RV4uJ59dkhLtadVkVEQhUTPmtBB+9DA7CjzyevzsJSaRdplkxQWD79PcGXHgrqWTL+TMGOdNolNBk7HuYsRJPalGpqMubSdnnqT35TAszG07uFtTNL5pnHFwaOEinIKIqsNl3flJkr4ygFHL0ZR8tnR6YParDmwz1VbfcW3bQXk6dOLmg+lsucBZJCE82baalLUCuYxwfMNgrvDdfyTax1VTC0oTIKsBNJqs9E0bSk29YaX6lUl5BdYG5SdYUeTSwZzpYwEdJnQt3WzqtmMFvVfW2CTKHqkzZFz7a6AekUlniKTlivc0S16RqMp66JEClxpxpLS4bTlXEUB1c2wJGoK/T8dxX6qwv0+4JwoZRg3dbOq2YwW9U92SZhzbTIpEF82i7rv2dyfzrgc/Gn9xWx2ZTkNBg0G7x49NzA1ARZOaMtcPQ+wITEycLgKn13TfX96fPXF3yYrAUy0bzQu1bs112odjkW5hw9e+YTjz39K5DHt/bXsnp8ldqzzuO3TZxsMVd8N3hrcXJL5oq4psUhZab/nosvU3+tYxyD5mM5zVp1f4yjy+nniESZTQQfdelnWgIGJJuMAW4HmO9YApbUva+2y7ZiQnqueKZzTYCxniZwSZlZM5yeY1nXO5ykek3Vbe28agaLoshqslFtErYTzbWvSH3d+gzo2BnYcxURAnYHGJVGwbRLpvLnDxwt32orAAYmkzhpVy8xnlT3pn+XkT/fSiXraNYNDIgDR0HQD6T3NzwSDBDFtF12DGcSkAbNR/vNZSH1hfOJ4rlngfJQ3ZdLRAToG4V57pliwzV5lXhtTIvApusrIgT0A0WOtdK/i9VfTdU14oJTKxbJ/dixmpvHeN1R+Kvb2nnVTGZTsy6tpB56RkRNTvNQbkpG9K+3Kj19BvpL6gr9UdG/tsI3gblJAT4kD5ROJ0rYQ0mNiZjWSlH3Ddbr+FRn2PmTSx0D/utcWpxct7XzqpnMKffckry66wHm3R3QpnLIB3w4lPw5g4G+HXXfOuGbRXMlXxEhkAJqKxGhxwFmU/klLiL0PsDM7y2OY9HeFBTvInHaVwj0M2YMpyfYcaxUct2j67Z2XjWT2Uxsqjz+0Bjl1jOxJSIw+YgoUPdllpRPWkazzikzF72ONHUv1KpeknHUWTuJIIqiKZZkgOguTpYJEEOTsWNkouWas0U0iacvy6r0J5jmyYgIW5Z2kaLulTC20dU1LcnjpweYjYjQLf0I2I0nFWvVyDSIdk0Sb8umDDJsghpn9tY2yCATllvOlcB8tN9cJrZYyR8Z0yKcxxdWwUvk8QFHoCpePsmfe6Yo93MRuJIcYMKslRF170mluwBH/fes/QmC/ow/E+BIWRklAK5s7k1PmYW32h4DqyMiMvUnGs2OCTcli03CJ3cpqfkA9E1XruTPuMlYHeWTUs+uJuDo/lJAS3GyoJZMfabXidBxLXEXZIsB2bSLLk4WAaoW9zaaxFBYNqRdjoFJRuu9TgSVIm+aboAkInKhY1uSdgHc7s/1wLQ5UOI4JmjFbz6WJHl86RSdFTtAUzFh6o+qO62JloxmLO3FyWLAURgYkwnLbVmrAD7abzZKcd/oWe/WZ/aeAqJGThaivn7XPSJyicCkBKfiBybh+0iqqHs9Ihq4dq0UjC7137VqMkaRdrFoVOVbMaF/V7k/wc7CwtUnvs39AMd2CC1JCbrs0T7+6rZ2XjWTuURErk3GALuJ7f0a+LrAQBOZiGST8BAtOo2nY9fK2e/FMZJXklf50q/R1iTTErb+SIGjQEfVbidC10ac7KvtconU27TOHcCONNPi3XjSwlcnAnoBfLTfnESLUv0GvEttbXzVwwyI07Fi1H3KJDn5soieKcGHWMpMmGlxAuItub/6wAB/Z2HAUdtFwcoJBG06q1PFcLa9zBYI4CNj0uIpq01QsGKCZpOoCeyIl4fK5YJN/Kn71yNua38OwMoHhNcGHMVZwPIDejyJoYgtCeqeZB3UJvRunubDN4hSwagRw0kwlnVbj+NLt7e3sbW1BQB4++238eabb2J9fZ3DFanZbLpHI78+GPrvWm3yngfYeBJjPIlLDybSiOEYNhmz9kdE3Y8nceVcER9LAt2AVR5f+RM6wCiA+MAQEJCwVm0AA0JMBE2KbhZESbxLZi7IKEtlpr7cU8d1Gwts2trawiuvvIJXXnkFL774Ir74xS9yuCE3q4lNsXANN4rReJJERL7tzk38yR9g9URgJNG6AHAEzOdKK6tPmuyPso+JAPiwoe5rqz5pI6MqmDIz8Ufx7Oo28ivf3t7G1atXk79fvHgR29vb2NnZoXZFbk3dBEmaflk0zKFA1elhKZQLToCjVImhSy7YX+BqGj2LMRHS1DYhkBMvA68CjjNWJ4qQdNB19WUjTm5lCkuI2TENaiaTOBlvV38ZcXIVw0kAius28is/f/483nzzzeTve3t7AICNjQ1qV+Rmd4DRlalJ0LH9btpXZFiRe65NgyFdfXIco2cSRs7hRW8tqT7J+JM6MA3Tubov5/fkOOiDxASZpN1whYIMQ38UASJgDuYo5mXdxqL5uHjxYvLnr3zlK7hw4UKh5mM4HGI4HCZ/N2lBzGXiSmrLTcknIlJ9RYajifGm5FfJYz6WFC8LG1jkZkk6qvbMmispjc30d+TmCgWVbtV/piUVBbo/I20XQSWW6VqgZCLU950cFH+2tlJboX1FlLUiCBDV7z45GoswnHUb65Xv7e3hxo0buH79euFnrl69irNnzyb/3blzh/OSSk08IrKc2D4RkY2/VpYzNrRi4ogoIhI9wObEyez+BLtI6r/btLlJUXLe63ag4hNjpqVNYyktqLVkIrz92Z4JLQYfxszHtWvXcPv27cKfv/TSS7hw4ULm365cuYKbN2+WVrq8+uqr+Lmf+7nk75///OdrAyC1dc8ToEeB6f09hPmm5NqXAnDblOTy+IQVEzYRkYA/yq6Vyt+JleJ0GGn1idAB5lQeKpBWoqLSV3odHBwZMJyk2i5zxlE8nSuRGteAjleAaMpwLlOp7aVLl6y++PXXX8eVK1ewubmZ6D7yQMhgMMBgkHKDPg/O1+pjPsrziRTUL2C+UYhvEpQlf0IHSgpUzfQzABGYM9XrEER76vtKwQdlxUTD5spkEnu/1kD/XSkqfaU7BR82B6arNTVgI/dXcX9HRM/OluH06bBdt7Fc+Y0bN3D+/PkEeLz11lvt6vMhdYA5CNF8zD7t4h8RHY1jTCSoe4dNUKLEUJ8nJBGRAB2rgyQJcXJtKTrD6JLMnxT4MOycXBsYEAByZP6E2WnrubIMzIep7ezs4OWXX8782/r6ujVzUoeZbkrTN4cSCu2OpDYluYmdoe7HE6x2ioFMK/P4lrlgH/EuYEH/EtxbFEVY6XVwaCFOpqiusSqTlsjjk4EPMzBAwTgC5myEJAjXP9Oq6hrh6hNzhnP68zb3+SAHH5ubm7VWrPiY6cTWfy5BN1ODj6quo5SbBDADH/0y3QAB/Vtby+yGAUeiXPCgawY+2vaG4OnvmlUqkYkILRlOnyosQDZaV/c2mkwZzrK3YEu+wymOYxp2ui/HOAL2wLjNgtP2XjmDuUREAwGxFlVEZH5//qjarqkZ4au9hXtFSObxRf0JgitxwamDAFS0yswXfFhG6xRaJKBZc2U0iaFi4IFH/yDr1DhVgLgEaZf2XjmDGVcwzNIkUUSzcKUmmun9UaSUVF8RE3+Sm1JGRCigU6CoPtF/X043UMOza9ibWKnGUrJMGtCi9QrqPi3h92/up39fkR0S+LMFA4CQXoeIcTT357+H1W3tvXIGM90Eh1qpJklEJIaqLYVobaJ/LX1J+aNo5JTxJ5DH139fRvMx/V0rcXIbRYSGAlepqjZK7ZORv5a9J8fFHxk7LXQm1GntvXIGG5gKw4g2eNsDzCfFA5hT92T5S9sDU0BEmGn6Jdkyu0VgAKiH+QAMgH8b+24IggH9941LbakYzgalXdS16O9LcfKn9symabsC+DheZrrBq7TLoEREaWLWFRNkB5gM3VxH2sV0k9Cvz8efeEQkfYAJMC0DQ/ARxzGN5kOwbFn//aalVym0VoDFvklwf6avUaAbS0O2mEAnN/Vnmc4Nmo/jYdL0qAIv1Yt2nPm8q9mmlValN12iiKis2krde78blSrzq8yWiSCrYKh8dkT+BFX3ptS90uoAfiLCxupnqIXlAowjIAt2rNOd0kyEb5VZYD6W04yrT45oUK6peIoszWMd8RGBHYFNVz+M9ENqwVdLNRi16RQERISdTpQIt8v8iTf9okphJelOIcaxoXNFrUuR5n5UILzhmo829/lo75UzmD2qljmckzSPuMZEZtOl0LSY6gYSX94pM2HxbteuN4W0ONmn6gswA8bkIsKm5fETsCME+sm1XWavnadgyQ7HZgwnWcBmGCC2Sa9Tt7X3yhlM35TKJra84FQxLTSbUlUeP2F2+u0BOxnwUeKvLiBX1mSN0h+5SFJ40y3zp+6NTEQofjjL+LOm7smYnWJ/+huSKTsnF9nSCL2D5uN4mHn0TCQuMlRSS+cvyaprDDZdXUToM576gVQKPqienWGEQu2vqaW2EuDqSHqDJxL1SefxawOOAqxVRpxs4K9NVV9AuudKVSTWae29cgYzFb4lG7xQNEt1gNmq0iX8ZVrVC1QPUZctV27wSWUU1SZYlcIiFicL6Z9MwBwHy1JK3VODAcMD7Djqg8hSZqZ7NHFzPym9zkDYX53W3itnMNOJTZ92qThQyA8woWjdAgyQ+DNYuOnh3C4WSRo42kbPMsBxVoXl+eyUODmOp224i0xdi68/6So6ySozwGyuqLcjRxHQ80iZ6eLksvsTZwDJwYdMmqdOa++VM1hGdV+2kI6IW2YbV7tIR+v8aRd1oHQ8NyXdX2n0TKT5MAcDxKyV1FwxGMs4jgmBeHX/Bup7A4RYMnHQbylO9k0rzfaJsrdz6758ukIDwKpBaiIFxX73ptKJB0JgYDUZSzPmox+Yj+NjdtS9DB3b1rSLyaabgoGu96ZkAq7S6FKqZ0pNc0WA2cm+YFFyrtD4AgwPMKk8/hHN3DR9EyuVXsckWqcaSyC9v4OSA5psLNW9GYIBfyBnx1r59mip09p75UxmtAm2lUqvKe0iEaEAhhoTqgNsdm/jSYxRKUsmrA8SrObJpsw814JBWTYVsOp2ooRlK58rtKC/6gAji9Zn/g5M07me95ewAyZgwHMdAGZgjmoPM2U+qKraFKtTNpaAFkQRjGddFsDHnJnQzdLCMMk0iH49Egcm1SZh7Y+IGQCEKqOMq2uII74yMED0dmdAi/hKqHuqewMMD0yidZBQ6VIMp0EaZJoyo1kLZswH3To3Yj6INR+VQQbVWBoyH1TAsU5r75UzmY1OgeoAMxUXSeSCKfP4Ju9hoDxQ6mCtzP21LUVnHl1S5PHN/BFS94KpglWDwzLrzxfsVAPH0SSG0tpS+ZMAA4Cl5sP73tLfL2M/yFgkQ+aDSnxdp7X3ypnMSvNB1JxnNCl/lTh5r4hjmMfXv0PiQOl1O0lfEclN0JT58N2UxA8Uozw+XfRsxnzIATmAUgxdzXxQVpnZAUeCtIvNXPENELU9vixtRhbUmDIfhONZlwXwMWcrJguJOA0CVFXXUFPpQnl8wdJXQD+ghQ6wnskBTU3HmubxfZ+d3Dow9kd5gJk8O6KxVMBqJETdJ0DOYB0AMswOFRgADJkPIra404mSfbqU+SAGquYsWXuP8PZeOZNJ6hR0Ss8o102Wmz2eeXwr5oPiwEyiZ0k61jCPL3GgEObxrZgWCnGyAZNEt+60dS6SEjRnPlZ6lCkzGZZMstpl+h3VgmG60t7qPWw0niSt6gPzcYxsYJB2odJg9DoRVGsLI3aACOyUb0qpL6p6/PKIgXJTshAREjIfZc+OqrTXZMOlzOPbHGA0KTO5CgZAFlzpvy8xN42YD4aUmZhYWFgftGoVZNCsO5N5AtAA8bqsvVfOZCZvaFQTzbfJWBRFZhObSgBqQN0nERFB/bhVbpZQiFY+lhy6ATnmo4y6p9yUTESLtNUnNUWzAkxEpxOZlZ0na0ECONL4AvRyVBmWLGVUZdK5SYpO4P50zUdR6399DoUOp8fIJCsmpt9hkp8lyj2bHM6EeXxJVTpgCK6IgKP+HRKalkyKrmA89c2YqtNi+Vzh0OtIR7Mm604IiBNT92Z7CqHQ+5juKyaM8SGRP+Urjot1gHqVWcezK3SdFsDHnJm9DI0+ei6a2JR5fDPmQ7qigC6Pb8Z80G9KEv7051EIPrQ8vu+mZCYW5jjAZKNZozQPib/yuTIaT5L3zEhWu1ACR6k0j53mQ4r5oNXl6d+54OsY9PgAAvhYMDvRIv/CJa3Hn/3+0ThOBEvzJt9LgYGOlaJ/BQ9onbov2nTF89wcQE4szWOjD6JLKxXNlWyJO5E+aDQuoe7p0i5GzAdHwCYEHM20cjRrb9ozZ/rnynXeYr0HEMDHgplsSlQU2/Q7yhcubR5fa5hTeYBR0pUyeXwr5oMSOJqkJgTKQ1kOFGkgJ6CfyfhriGhRv2//N6MaUPekKSVZ4GhUJi0IHPWf+fqLosjgTKBb53VaAB9zZhPxUegGqio0KPP4ZpQeIdVcU6MqE82H+CYoUB5KeaBYiWkp8vjCokUzYCwH5tQz7XejpHmdq+kN5qpSdPKaD1kmgkQ4X5HGGk9iHI1pUmZAdb+i49DjAwjgY8HMmg/RR3xFm66+iHzz+OLUvU35JGUevyH0L2Uef+rP8NkRK/yrVPdiBxhljxajxlFyLBllNGtG3at11z7gaCbSp0y7lPs7JGSnAf0MKg8yKILfOq3dV89g0hRiFYqneomdsmrqXrh88hjk8Yv8Uebxp99RniogTbtoqnsV1RX7a59o0Yj5YNE/8YN+M+qeQZAp1UxQsPpE/46qNAhAw7RUMx90wLFOC+Bjzuwa5lCwA2bMB5W4qJK6J41Q5PpgALrgVCaarWqMRZnHB6rBFW3aJf2OyrlJWSYtpJ8xS6/S+ys8wIgrGCoPMIb35EgDOekmalUBW68ToUeS5pEDjnVau6+ewUy6ch5SHmBVmxKxuKhyIZHm8dNor1p1T5fmkXs5mdok+PP4gAEdS7gp6dR95YFJWYoqXdpb4I86j1/NfNBGs+ZzRSiFxdETxgQ4CgYZ1MCxGPTT7WF1WruvnsGqosvJJE7odBKKzZT5IE67FC0kqtbxQLqRTkqpe3rRotzLyUxZJCrgKEfH6tR9dXUNJZATYq0qmA/qPH615kOY+WDQsxwadOVsW2NGoFo4zwUcpViyuqzdV89gVRtuJo9P8nIyWXGRJHWfra7hB1d2JXiCAlBq4Ch0gFWDK3ogZ/auFYnqE9o8viSQ07+naK4cMKRdAJl0rmTfjel3mK4DKeaDbt3VaQF8zJlpbhagTRVURrPkglMB0aJ2zcXgil4kaaS6J+1ayQ/kANk8/tSfYGWUiV5HsJSYOo9fxcpRRuq6PxG9jh5kSApcC+5NZ6dlggxZ4BjSLsfUqnpFqH/vRNONyd9fleaDZ1OSoGPNqHu5cs1JJo9PqWmp2CSI6Fhz6p6K/jUEO8R59UrqnrS9ugxwrKbuiYXlggdYv9tJNE2FYIehJ0xhhSA1O22s+SBad6bsdOhwerzMZoP3feX89HtMhWjE0bMQqq6M+Fh6KZiUvlLqBqT1Ovn+Dog3pSodBkfZsv69i/7kql3o8/hyVWaAAfNBPFckwY4pcKTyJ9lfB6jW5YW0yzG1qoYylN1Np/4qNkHqCMw44hOqriE9UCoWLfGmZN53Q2iuSB9gDGXZQDOoe/o8vikDKCRaZGJUJcbTNICiYqdrA44h7bJcVpnHV68zlqZjqTeJik2J7P4Ey9SqqHv17LrEefxqzQd1+WTTDjAK6j6COifyDrA4jkkb7kkzgNLlmtWsHJeWTE5jYqJnoWCnawOOob36ctlqRfWJ+vcTVHl8YVQtrbo37YVB2QZZ/95cX0Jly+RATrBBHGBD3dOU9pYBguwLFml70ORZbQygOHUvlF5l6PNR9HZu+jRITX0+KvvrhLTLsbIqkZ3aPFapJnZVi27ihWSswSCO+KqpezphGFB0gHHRo7JATkqIJq26L4toM+CDkiWrYnWkDjBphpP4AKtDWD793ry5Il31xQUcQ5OxpTJ90eZR92oCUjEfVWketXlQ9BoADNI8xJuSuWiRn7o/YEuDHM8DTFpQW858UFeZVVH3s/Qq0bqrqyeMVJfMsk7NcRyLlvZyVX0dNgU4hrTL8bQq6v6A63AumNgJ07Jy/FT31Hl8U+pejEWqTbxLfYAJgZ0y5kMbS5oqs3qo+8KxJO/RYlrCT+Sv5NllS1/9/fW6nQSAls+VdgPHas1HSLscK6ui7p8IMx/U/qoW0hNiTUsZO0Cdx8/4E6Bj07SEFBioOMAEmYjpv8uVgdMDxwrqngk4Vmuf+NdBxh8xS1ap1xFkyeQ0HzVVu4Q+H8fLqql7Ws1HFfPxJPFHDHYqFhKZv5I3Xmbe+kpGb5dsSkyt6uVEfRUHGDUrV6HXoewiqX9PHjDmAnJTf3L6IHEBqNABVsZ8cKxzE32QHOPIAxylGuDVZe2+egbTqfu8yXZAfDibCsOomY+iA4ycaSkBO8pXrxMRlvYWb0rK31q/R+IreaHWeJJL3T85pE2ZVb1xmVqnUPaaez2PL1HNQ32gdDsR+t1o9t1lB1hbWbIK5oOptLdK6E2RMgPMWDI6oNMwxjGkXY6vlUUp9IJTMzBAxrRULCSuap68hUQN5PTvKgOO1Kp0IF+Mljw7Mmq7fK4kZeDkYCf/cFZ6bDpgXP3sqIAOoKc8+cFOqn2S0gfJHmClzAeDQLKUJSNPB06/ZzyJMRqXgysKC9UuS2yrJRNbbVTUzEel4JQsDWIKdvgPMGpfQHkERq/XSZdP2VwhAwOGc4Xs/gyAo35d3v5KelNQM4BAea8PchBeEWQcUKdBDN9RRf3umrJ0J2VfijKW7ICctdJSdCVzU7zaJWg+jp8NSh4+vQZj+ggKqXs2MJBPpVODq7LS3gQMrDBERHlg51D5o7m3KtU9F0smJk4uGUs1T/rdCH1ivU7pXKE8wEqYD/KUWQXzkfijfpdMVekrOaOaM1cYIvVyoMoXZORq18i7QptqPkLa5dhZ2SZPLzhNJ1AedU/dUbWM+dAXMjV1X5bCokpLAGa5YCl/XHOlmiWjzuOXsFaEY2kCHKnAAFC+FrhYsvEkxlEOdU9dZVbWx4QjZWbCknGwVrlAlTjI6HSiRD9Spl2jTj8+qWLJQtql3K5cuYK9vT1uN6RmEoFRMx9F/rgErnkHmFq0QBr1+vurBnJUmwQgy3xU+uNiraRSZiWVWBxgoKwhnRpfqnk5/a5qMTT1gQJUaMmo+/kIpczK5ibHOi87oDnSuWpu6nukMmotmRqn/Rxfuj/K8azDWMHH9vY2Xn/9dU4XLFa26VLnnqWp+9JNYua/36V58Rqg57rzDjDaFI/+XWWaD2l/5NFlRcqMXHAqnQaRAo5lLCBx+lGvvCgNMojLQ8sOZ8qUmXou+UwE/TpfK/FHnTqe+usV+qNeC2X3NpnQp8brMlbwsbOzg83NTU4XLGbGfBBGYEYHJrEwrCya5TichQSn5ToF+mdXpmkhFyfPDqY86l5/nuTi5JK8Ou06EKbue9XRM5W/TidKgHhe9EytfyplBhjXeV60zgFUpf2tlbAR1MBYXffRuHydU95fHcYGPm7cuIGLFy9yfT2rlbWV5ikPNTkwJehRekSdHs5lBwoHGOBnIoDy7ofkVHq/OHpmSZmpw1log1ffVeaPI3rO9ceQVkr8CQACFannpwnoK4dK700YDPBoTJS/Ebs/fb+Yvz99fNvOfNB0W5qzvb09rK+vG312OBxiOBwmf897mZu0pUwEPxgAivOzHFS6HqnHcZxp+sMSoZS8JZgzmpV6difK6O1D2vubNmkC4njq7/RqP/Wl+mB0O2Qps7LcMwcYODE7MPeFgLHJ/dEemD3c2z9a8DeZpNUn1NT9/uGoeJ0zAKu8seRgycrSIBwMZ1kqhHotrHQ76HYijCcxDo7GOHsiZ533pp9ps7EwH2+99RYuXLhg9NmrV6/i7NmzyX937tzhuCQrK891c7IDWX8cVLq6t0k8pfUy/hhTSqWHM+EmeKIkAuOI+E6URM+JSJJoPKMoSq794DALVDnSgeUbPC0onvqTZVrKonWOA6xornCsc+VrEi+ychxVZidKmBaWdV7CRPAA4zKmhfZM0Nf5vL/02bW70gWwYD6uXbuG27dvF/78pZdewoULF7C1tYUvfelLxhfw6quv4ud+7ueSv3/+85+vHYCUC0756Ob5iI+DStc3gCeH40xtOguVXrZok5IxoWiWgUo/MWvVXuqP+MDcPxxj/yi76XKwOqV5boYDLAUDOdR2coDRg6uyCgYesJO9Pw4qXb/ug6Nx5nt51kF12kWMtWIAOyZrgTqIejQcLYArjnury4zBx6VLl4y/9K233kr+vLOzg6tXr+LLX/4yzp8/v/DZwWCAwWCQ/J2q97+PSQtOiyI+juqTld60umY0ibF/NMJZLFJ6lJ0Iy/PqDNGziW6AMGrQ6W3dOKh0oHjT5S5nnExidDSa94A1mm2OaFFClMlBpfe7HfS7EY7GMfYPx1hfW/RHqbUqWgdZfzL7ygFDP58iPdJ4Eif9mTjub/4M4gDFdRm55mM+3XL58mVcvny5VVUvgxIUz/Hwk1z3/KbEEDlP/XXx8GCUc4DxLSLJvPrUX4kwTCBVwEGlA8WbYALkGJ4dMAXCamwBJv1M2YHCCYxzmBbJ6JlaG6TsRL+Lo3HeOhdmODnFyXl7NEs6t5frTwcHLGx4AVBtu9gUYKx22dvbS3p8vPbaa9je3uZyRW7pBl/ccZSU3k78zVPpPPXcRQcmT9qlmNrm0JiIb4LK33zKjEmVXghUGQ5nfZyK/LUbqBpEz4LRLOU6mPrLX3ucIFxOH1SS7hRMQerrnLLjaNE+tpRpF1tbX1/HK6+8gldeeYXLBZudHORHRHEc1zKxqSOi6cIdLvhjUaXPrv1wPMFoPMmkj6RFhJLlmnr1CaUqfS2JiPI1H5RUeqcTYbXfwcHRpPD+SIFjmX6GUSw874+LSi+6Py4qvSgVwqLBmOtNoTcvU3OHFBivVHccpZ2bRQGi0q11MmlJXysEqgwppbqs/ZJZBlMT7fGwjErnR7kcYAAopiw5q0+AYnagrap0oDjNwxfNyrFWU39FB6ZcnhvgodKLgCoXlV4VZHCkV/XvT/wxdBw16U3BAeSk+ooUjSVXq/PCapdjxHwE8JFjVXQlwBQ9FxzOXBHRAopnqD4Z9DpQAUHReHKAgfIukgK5WaZNQlJwChQDVU7qXvWm0I2HaZGl0ovWHdtcKdIHMewrOsMn4a80ZSbYx4RDawVUp1ePg+A0gI8cWxuoPH6+BqPXoXsnAqBPtHx/lHTl1F/FQiJctFEUFUbPHFR6EdWsU+kc1S4SwCrjr0g3QEzHnigYTx4qffpdpb0pBPQzXFR6UbULF5VeCVQJxzKKolS7VghU+atrRuNJ0r+IpQxcinEsqLgMgtNjbklefSjz4OU1HxX0r9ABJlmuqXdY5UgrSaQlgOI0T0KlE0fPVWXgHJVKef44o+fCckausZz3x8R8JOtc6P5WK4CqRNmy/koMjrJz6ZRZcZ+P9h/d7b8DBiuK1B8PR7OfC23wwir4IUOEMvVXHjVw9EwZjiYYT1LqPtuwjUHzIRShFLJWTEC1Mq1E6K/biZKmdxIHZlGXTC4qvS69zkKah5uVKwCqHKnq4WiCScE6p02ZlZfakuvyioIaNZZBcHo8rRB1zibayQFtkVDVBq9HhCT+pIVvVa2CuaJnbaPQGzlxqNKLN3hiIFeQx5cWuHJQ6UB+VQE3lS4XzVaVSfMcYPMtA1ImgufZSegiita5vg4oG1ZWrwOZtEsQnB5zS0ttpZiPfCbi8SGTP7VJzGla9pnATpWglvoNwWrP0cFjUulC/E6EShW8EPPBV65ZkOZhStHlAQIuKr1KWC7GDHCzVgXt3NmYHYG1oAOnzFzhXnfzY8nVIE4YGNdhAXzk2NqsjOtonIoUgXQinGQ6nIvAADXTUrQJqgPmpAC4iuM4+TvleOovZdL9JffGxFotdhzlyuOXR89saZ6FA4VXDK2PJxeVrp7daDLtTZH4Y+iZovsTBwML6VWuCo1Ff3pvJGoh+4kcdoA7/bjAIomnV3meXR0WwEeOzb98TVnCfAxkJhoX01JE/6q+JmvUB3TO/Q1HE4xmuVrq8cyLntW9cQG5+bF8NFRAjotFygeqXKLFgyKgyvXsBKj0ot4UXMxHUft4NbbS+iBqcXJeE7WjcZxorySE+lyvpKhKr3IBx4Vql5B2Od620pu+lAnIRinczMciEyHrT6V5TrGBgcWxBNI0EJXpL0RL/fGwOnraRe9Nwca0VADVU0J6pATMUc/N/iJL9ojp3tRLFuf9cQPVxXWnQD9PerVQ6M2WMkvXefY1A1yiTG1f4ep3o4FifZ1zvQKjqmqPeizrsPbfAZPldTnlji6LomdypqVA5Z8wHwJgRx2Wq/0O2Rt7S/2x6Vmm3xfH6UYE6AeYDJX+mAmo5qVdxpOYT3ydsxa4gFzWX7oWHg+50o/5KawUGPPMzSLtGhdQPcgB/b1OhBWuda77YwOO6TrXe9DsC7PTyRkU0i7H1/J0CnzRc77wjWtTKoqe2fwpOvZoEchR+wLyF25yoDABuam/0cKfuYBcYYpOAOzo98lXdq6DAR7gqPvLzBU21qo83Untr6jvhmT6OF13PdKUGZCvt+ICjvo6zwtquFiy+bSLPp5ttwA+CiyPQuTSRMy/fG3Bn0Czo8kkTqtdBA4wLlYHyH/5Gtei7XaiRASZqzERyKsDaQRGD1QXq12U755273T+ig8w6nQgUBStMx0oap3P9aBhY1pyDuc4jpMDk5r5KNNaUfsCCuYKE3As6kHDpstLmPc54MjIAkpbAB8FlrRYF2E+tOg5T6cgQG3rQISPaVlkBjiYj/xonT961scwKZNmenbzwje2CCwn9/xI23DZotmjxeiS49nlsRFcYuGMkD3n/iTE0HrzPYlmiVyHM5A+H/2A5mRUFYDK+uNJYZ1eXfQ1/Tvf/UlbAB8FtpYTYXIdYINe/kuZ+JiPxTSPOiyjiK9RlUT1CVARETFsgnnlr/tMEZ+uG1DCtziO2dJKuUCO8dnlzxWeewPS+ZABxkz+9Jcs6ocK1/2dzDks9T9T72Nqrj/SGUcmYAWkB/Qj7Z44GVV1fw8P8vzxjOXjw3GGJXvEuBakLYCPAiuN1okfvP5SJgmhXalQa4U+N1umG+CIiHKZCMZcaa5okatB3Oz7dOHb4VgrW6bWmGiboDJO6vfUoA8ge6A8ZmTJTq3mHSg8QUYURbkHGNc6T+4tAz5SwWKXsNPv1N/02en3xgkc857dfpKi42M+HuUwLdQpQXVvur+j8STpO8Vxf9IWwEeB5XU5TRYuC/2bd4Dxaj4e523wHBoMRY/mVhTQj+XJvE2CqfoE0Dal3E2X9v708VKbrl6RRc3snE42+KPk37g0CkC66UqMJVB0oPCthdOri+CKK82jMwPq/Se8wFE9O22ucALHXKDKl6LLWwtcz27Q6ybVQcqH/qJTjvuTtgA+CkwJ+7Kltoyb7twBpqNc8k1ptmiHo0nS2ZE1V5pDj3L1NgDSDf5hzibIuynxA8dOR4+ep/enDudBj75s+XTO4Sy9wXOVLU/9lUTrAvc3nsRJiTY1IFDrPI5TLRknE3EmZ51zpuhOlwBVDnFynj/J+1N72Eq3k4hf22ztvwMmOzkoYyL485eZJlyMlJ7adDlzpWeE6dHTudQ25wGWt+ky3l/BXOHxlR7OSmOyz8hE5D87fuCYB64kDhTOsuXVftpELT3A+IOMPE0E57p7ONSDDL49Oo8lY2XlkrmZDTI49ug6LICPAsvLzT5himaBxQiMszlPtxMl7I2KwPYZeynkRZdcefWpvxLqnsPfIMu0TCaxEDvADxzVBqhH6LwHSg6VzliueXqORQL4BKfA4r6i7o2jbDmKIg0QZA8w1meXp2dhBAN5QQ2nxuTBzN+0bJmfDX8oABzrsAA+CuzMielCeqBtSurPp1c5DxS1SaTdVKkFoMBilCKziI7S6JnRXz6Vzh/NKn+ZsmXWA2wGHBk3+JMr3aRCI/XHGF3mprD4xMnl0TojEB9m1x1H2TKgzRXlT0I/c5hqTB4xrrs8JoLz2SUak9lcOTiaQBWicN5fClSPT6ULEMBHoc0fKJNJnExstYFw+HswF82eYfA19ZcFVymlx3c4H43jpEIj1Xzw+XuQq/lgPMDmDpQo4mmDPA+uOA8UvULjwRxQ5cyr5wlcudNKwDSaldA/zTMRXNULhXOFkZGL43SOcFa15QUZnMD49HwaREuZ8azzLLg6Tt1NgQA+Ck0d+g+eTCfao8MR1PuEeJiP7EJSfjl86d+r/Kn/nz1BD3am5bvTPytAoBTxvAfYYkQkcYCpyIijbHnqL5+659jgp/6yqRC1CXJUfekbrmLJuDoLA4vRs/62ZVZ90Pyz4wIfc0L2x4zap4H2Qs75ucKqfcpJ83D6WwRyXXSIy5an/rJMy2PGe6vDAvgosKLDeaXXIX+DIbBIpatD+gwDGAAWD8z7M7DDwbRkKzRm4IoR7MxHz3EcJ2BOwh/nvU39ZZ+d8svHkmXvT/k9wwHCZ9T2JE6j2BQ4coqhs0wEwBQ9F1LpvEHGgmiR4d7y+phwNeECytMuLAznnD9u4LiYMuMNMqQtgI8Cm09LPEgOZxkm4sET7rTL3IGp7u8Ez/2dKWB2OO5Pj9TVuyxUbpYDzM1Hl1KslTpQ7qu5wvTs5udmAlQZxlKv0Jj3xwHm5jUfytfpQY+8CRewyCLdZ95X5u8vCWqE/Kn/c6wFvYR/PIkxHI0TUTTH3JwHVmrvPM0FPuaYHU49Sx0WwEeBnT2Rv4i4wMCZud4UKfPBBQaKNiUZsMN5gClfKnpWvla6HfKKgqm/OWDFzVotsEi8/uZ70HCySPMVGpNJnDI7LHMlS20r1op7LB/MrQM+lmweXPHe3+lBPrjiZByBaUpC+YoiHkAw36+Icw8DFtlw7rkibQF8FJjeqEqn7eU0GNxgYA7scG9KBWCHYyHpraMfHowyrA6vBiM7lnIHisxcmT8w2YHqcDStnFCsFYO/+QoN7gNlXkTIDxzz06tcc3NeUMvpL9MF9GCUrLvTgx6LBmM+QJQCjhJArg4L4KPA1ESbxFORlrQGgx0MFEXPbOAqXbgZepThQImiKAMIHggdKNJgQOWCOZmIqb/5A5M3zaMfmOreBkxaq/kKjXSDl0lLyB1g2fQqmz9tXxlPYnbGWB/PZCzXuJkImWd3pgD0B/BxzC2bez5izV3q37uQduHOzYpFYOnCVcAqivjGUxdrPRDaAFX0zMnq6P6kIrC6DsyHB0fsTIReofFAZ8mY06vKD/8B1sv44QYf6nvvPznKVKFw+VufAY17+4fs93ZubQXANJV7cDRm96fubfexzLOTtgA+CiyKorTR2BP+TWlRcCpEpSebkozA9cHBKDmcTzHRo0B2k+c+wJSvOJ6BHWbxbrLB7/PrZwBg/cR00723f4iDo3HyziE+f+pAOWI/nKMoSg6Ve48P2f2dO5mOpZ7O5Vp3ib/Hc2CHiR3YOLk4lif6XbZ3kWzMnt3u40MR3ZpK597bP9TWHc86f+rkYOrr8SGAwHwslUlGYOuzRfRwOMLReJJE61zMwLnZ5rO3Py/q4/GnNqW9ff4NXve3+/iQvVJptd9NmJbpJsgL5J6a3dvd2abE2aNF96ePZScCTjG1eX7q1Mzfo0MNFPMp/De08eSOLtVYHo3jGVDlfXbpvQ0Rx7EYuLorAOR0f7sC/jqdFKhK+Dt3csZ8zIBqAB9LZOvaRNudbfRqMZP7OtFP2ljvPj5M0O45Jn9PnZqi6ruPhng45BX1AdqB+ehQE+/yLaLkAHt8yA4cAW2TfzRk96d83X9yhKPxhL1cUx/L9BUDfTbWSkV8u4+HIlRzen9D9vTjar+b9GnYfcR/gKVjeYj9w3HSQE0CqEoclhl/+7zMBwBszADBvcf8rJxa54ejSaZqL4CPJbCPzTaljx4dJlHmU0xgoNOJsDHbKD56NMRHj4YAgKdPMYGP2X189Pgw8XV60GMR9QHAxqn03u4+4h1LIF2402c3ZPenDrC7jw+xy+xvfW0lAaofPBwmQlAFlqltQwOOKv+8zkTb6/4+enyIe/vTucLLkikgfoi9fTlW7u7jQ+w94b2/hHF8cpQEUP1uxNIOXPd39zF/WgIoYD4E5ubdx0N2MHCi301aA+hBWwAfS2BP6wemOlCYwMDU3/S7f3T/IKHuVeRCbeo+DkcTfP/u48y/cdjT2qbEDaym350yOwrsqH/jMJ3Z+eghr7+uRv/+7vsPAUzfirrOHD3ffZyC4o9xjqWWdkn8neZ/druPD/HhQzU3JeaKNjdPcwHVVI/0nQ8fzfwPWErOgazmQz07rj1s+t3ps5PYV/T7S9lwnvuLoijxt/PRo4Sd5goypC2AjxLTwcduEq3zb7q/+/50k+h2IjaUu7bSS+jfb/1otimxHigp/ZtuEtKbEqc/DewIAFX13d/60cPk72xpkJmvg6MJfri7D4B3LDcyz44fOG7kzBVOsHMuOVAeJ2kQrn2l3+0ke4iaK5z3Jj6WSiy8f4gPBdb5Rg5QlRhPFWScW+uziXel7XjcBZM9naRdhviIWfMBpBuQmmgbJ/kOFEAHO1N/nBGD8nVv/xDvP5htEgKL9qPMAcYYEc2++7sfPcbReHagCERgEgfK2kpK/yp/XJE6oDMtshu8tD81luvMB4oC4r/7I4F1Pnt2j4YjvHvvCQDmsVTpTo1xZPU3Azvv3HuSvKRPYq58U2CdS1sAHyWmDsfvfrSflBeyRs+nshONU6Mw/f7pvaTRM2+EEkVT+vfbHyj6lxPspEzERw/5wc5Tc5vEmdUeBj2+F0Cp+/tmcqDw3VsURcn9/fZ7D9j9ZYHqAbs/dRj/cHdf5EBRKavfERhL/fu/cWfqj/PeTq/2kq6jv3XnPrs/NZYfPDwQYT6eObMKAPjNd6f3dqLfxUnGF719fObvN97hH0tpC+CjxJ6e2yTOrfVxgnGiqYml/D17dpXNFwA8M/OnDpSPn+bz1+1EC+OpFjKHfWI2du/ce5I0UuNcuMqfGkvuTeLZ2dhJHWDPrZ8AIBOBPX1qgJVuB+NJnABVTn/Pn1sDkN7bar/DeqB88lx2LDmZCAB4fubvW+/zA9VOJ0r8qfQxp79PzZ7dR49SDQbvXJnemz4vufQzur/vKH/M61zSAvgoMfXg07+vsfr7zMbJzN8/tcHs76ns939q40TBJ2nss3P+Ps14f584s5pEYMCU2uYswfvsU9lnx3lvQM6zY56b8/fD6a+rHWDK5v9OafPr7Plza6wHyrw/7mf3fM79Sfr75Drfszu71s/0QjrR77IyqvPPjvPegMVn9SyzP0kL4KPEnjt7IvMWVO6J9tmn5zcJXn+feUoa7KT+OhHveHY7UQZMfYb53j4tCKym/rLPbh6M0PvLfj+3P30uPnVyhbUnzNkT/Yywex4kU9v83Pjs0ycLPsnkj/vZze1b8/savb/0+z/zFC9wnN+zuO9t/gz43FO8c0XSAvgosU4nwue0jeHHP36K1d989PxjH+P197m5TW+TeRPUN73nz62xq7b18Zy/V2o7s9rPiJG5/c0fIPz+0u9f6XaSNAyfv/T+uA/nBX/MG/zz504k742S8Pe5uQPycx/j9pd+/yfOrGKNqROuss2Pya3z1X43A0C4/c2fAdzPTtIC+KiwP/Sp9eTPf/D59cLPUdjJQQ8//kw62bj9/YHnzyZ//tjpAavgFADOf+Zc8md9XI+Lvy/o/j59ruST/vbpjbWkpTsAfP7ZM6z+Xvhsej//2ifPoN/l3Tpe/NxG8uefFnh2L3w29afPGw4b9Lr4yU+ma++nP73O6k/3dXKli08waq0A4Gf0Z8d8b/P+zjOvOwB4UVsL3P4+dnqQ0f79Ae1Ztt0C+KiwP/Ezn0ZvloP+Yz/+NLu/P/1HPgMA+Hd+/8fZRYtnVvv4D3/6kwCAP/tvfI7VFwC8+NkN/PgzpxBFwJ/4mU+x+/sPfuo5nB70cPZEH//eH3iW3d+f/JlPoRNNN4g/yLxJRFGEP/dvTp/Zn/7XP8POIj1/bg1//Pd+LPHHbX/8934Mn1yfpj0vvvA8u7//+PzzWO138Py5E8l9ctp/+kc+gygCLnz+GXYWadDr4s/80c8CAP7Lf/v3sKYlAOAnnzuLL3zmHLqdCH9KYK78uz/5LJ45PcBTJ1fw7//Uc+z+/pM//BkMeh38oU+t46cFwM5/8W/9GADgz/zRz7J1oK7DojiO47ovQrfnn38e7777Lj75yU/inXfeqftyAEzLuE4Neuz0obJ37u3j2bMnkjcoctpkEuPdvSd4/twJ9k0JAA6OxtjbP0qqQ7htb/8QnU7EKjbV7f0HB1hf67OW2er27t4TPHtmlbUfjLLxJMYHDw/w7FkZ0dvj2UsWpTo63nt8iNV+l7WiTbcPHh5gY20FPWYWCQDiOMaHD4fs1RnKDkcTPB6O2N5NNW+PhyN0okjs2d1/coS1lS47A6hsb/8QZ0/0RZ6dj9mc3zKnacvtGcYS1DzjVqPr1ulE7EJT3Vb7XXzirBx6l25F/HFmSnveuEXQunU7kRjwAKZpSEmTOiiVSe4rURSxlrbP20qvg5We3HhKzxXp96scl5bquoW0S7BgwYIFCxZM1AL4CBYsWLBgwYKJWgAfwYIFCxYsWDBRC+AjWLBgwYIFCyZqbCqdra0t7OzsYHNzEwBw4cIFLlfBggULFixYsBYZC/OxtbWF69ev49KlS9jc3MTly5c53AQLFixYsGDBWmgszMfly5dx69YtAMDm5iZu3rzJ4SZYsGDBggUL1kIjBx87OzvY3d3F+vo6tre3sbm5maRe8mw4HGI4HCZ/b1jPs2DBggULFiwYsZGnXba3t7GxsYEbN25gc3MT165dw40bNwo/f/XqVZw9ezb5786dO9SXFCxYsGDBggVrkJGDj93dXezs7ODChQtYX1/HpUuX8PLLLxd+/tVXX8X9+/eT/557jr83f7BgwYIFCxasPjNOu1y7dg23b98u/PlLL72ECxcuYHNzE+vr61hfXweA5P/b29s4f/78wu8NBgMMBukL1Jreuz5YsGDBggUL5mfG4OPSpUtGnyvTdwQLFixYsGDBgpGnXTY3N/HCCy9gb28PAJJeH3msR7BgwYIFCxZs+SyKGcpL9vb2cOXKFXzhC1/ArVu3cOXKFWNGZGVlBUdHR+h0Onj22WepLy1YsGDBggULxmDvvfceJpMJ+v0+Dg8PSz/LAj58rNvtYjKZ1H0ZwYIFCxYsWDAH63Q6GI/HpZ9ha6/uaqurqzg4OEC328UzzzxD+t1xHOPOnTt47rnngrB1ZmFMFi2MSdbCeCxaGJNFC2OyaMs2Jh988AHG4zFWV1crP9s45oPTHjx4gLNnz+L+/fs4c+ZM3ZfTCAtjsmhhTLIWxmPRwpgsWhiTRQtjUmzhrbbBggULFixYMFEL4CNYsGDBggULJmpLBT4GgwF+/ud/PtPUbNktjMmihTHJWhiPRQtjsmhhTBYtjEmxLZXmI1iwYMGCBQtWvy0V8xEsWLBgwYIFq98C+AgWLFiwYMGCiVoAH8GCBQsWLFgwUWtckzEO29nZwY0bN7C5uYmdnR1cunQpedtu2217exs/+7M/i1u3bmX+veyeOX7WJNve3sbW1hYA4O2338abb77Jeu9tGBc1Hnt7e3j77bfx5S9/OXnf0rKOiW5XrlzBq6++uvTzZHt7GwBw/vx57OzsYG9vb+nnydbWVvKOMgC4cOECgOUdDzKLl8DOnz+f/Pn27dvxxYsXa7waOrt+/Xp869atOO8xlt0zx8+aZK+99lrmz/p1L+u4rK+vx7du3YrjOI7feOONeHNzM/nZso6JMrWG7t27l/zbso7JpUuXYgAxgPjChQtLPyY3b96ML126FMfx9PrCuqGzYw8+bt++nXmgcTzdiI+TzYOPsnvm+FmT7NatW5nrun37dgwgvn379lKPy82bN5M/v/HGG8k1L/OYKLt+/Xq8ubmZHLTLPCZvvPFGfO/evQzoiOPlHRN9XsTx9JrV/5dxPCjt2Gs+tra2sLGxkfm3jY2NhF48jlZ2zxw/a5KdP38eb775ZvL3vb09ANNrXeZxUVQxAFy/fh2XL18GsNxzBQBu3LiBixcvZv5t2cdkfX19gepfxjHZ2dnB7u4u1tfXsb29jb29vST1sozjQW3HXvOhDp95293dlb0QQSu7Z46fNc30w+QrX/kKLly4gPX19aUfl+3tbXzlK1/BSy+9hEuXLgFY7rmyt7eXm09f9jG5ceMGgKle6vLly9jc3FzKMdne3sbGxgZu3LiBCxcu4Nq1a9jc3MTFixeXcjyo7diDjyIretDH2crumeNndZvaSOfFuHmfk/xZXXb+/Hlsbm7iypUruRG/bsswJm+99VYCwkxsGcZEFzhubm7ipZdewu3btws/f5zHZHd3Fzs7O0nwcunSJZw7dw5xSV/O4zwe1Hbs0y7r6+sLyFFRacfVyu6Z42dNtStXruDmzZvJNYZxmY7Byy+/jJdffjmJ/JdxTLa2tvClL30p92fLOibANNWgTFVc7OzsLOWYbG5uZlJQ6v/b29tLOR7UduzBh57r1u2FF14QvhI5K7tnjp810V5//XVcuXIloYz39vaWdly2trZw7ty55O8qb62iujw77mMCTJmPa9eu4dq1a9jZ2cHVq1exvb29tGOyvb2NL37xiwv/vrGxsZRjotZJni3jeFDbsU+7zE+gnZ0dvPDCC8cOTer567J7nr9vip81zW7cuJGkGPb29hJ6nePe2zAu84eHitxU/wbdlmVM5jf6y5cvJ/qGeVuWMdnc3MRrr72W/H1rawsXL15ku++mj8nm5iZeeOGFZG9VvT6Wed1Q2lK8WG5nZwdvvPEGXnzxRbz99tuZZkJttq2tLdy8eROvv/46XnnlFbz44otJHr/snjl+1hTb2dnBj/3Yj2X+bX19Hffu3Ut+vozjcuPGjYTSvXnzJl577bUMA7KMYwJMQfu1a9dw5coVXLp0CZcvX04abC3jmKiqi/X1ddy+fTsDRpZxTPb29nDlyhV84QtfwK1btxI2FVjO8aC0pQAfwYIFCxYsWLDm2LHXfAQLFixYsGDBmmUBfAQLFixYsGDBRC2Aj2DBggULFiyYqAXwESxYsGDBggUTtQA+ggULFixYsGCiFsBHsGDBggULFkzUAvgIFixYsGDBgolaAB/BggULFixYMFEL4CNYsGDBggULJmoBfAQLFixYsGDBRC2Aj2DBggULFiyYqP3/t94YNrKvuX0AAAAASUVORK5CYII=", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = np.arange(time_steps // 2) / (dt * time_steps) # compute physical frequencies in Hz\n", "plt.plot(f[:300], Power[:300])\n", "plt.xlabel('Frequency (Hz)')\n", "plt.ylabel('Power Spectrum')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "85f827d3", "metadata": {}, "source": [ "Send corrections to bnikolic@udel.edu" ] } ], "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }