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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Computational Mechanics Boundary Values - Project 05\n", | |
"\n", | |
"![6-string guitar diagram](../images/guitar.png)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"In this final project, we will consider all six strings of a guitar and the deflection of the neck of the guitar. Here are the inputs for each of the strings, all L=0.64 m:\n", | |
"\n", | |
"|string|density (g/m)|tension (kg)|\n", | |
"|---|---|---|\n", | |
"|E|0.401|7.28|\n", | |
"|B|0.708|7.22|\n", | |
"|G|1.140|7.32|\n", | |
"|D|2.333|8.41|\n", | |
"|A|4.466|9.03|\n", | |
"|E|6.790|7.71|" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"1. The neck of the guitar can be considered a cantilever beam with an applied moment, shown above. At the tip we have a moment equal to the sum of the (tensions in the strings) $\\times$ (bridge height). Here we will consider it as $h=4~mm$. \n", | |
"\n", | |
"a. Use a finite difference approximation to determine the deflection of the guitar's bridge if the Young's modulus is E=10 GPa and it is a rectangular cross-section $2\\times4~cm^2$ and $I=\\frac{4\\cdot2^3}{12}~cm^4.$\n", | |
"\n", | |
"b. Demonstrate that your finite difference solution has converged. _e.g. decrease the step size $h$ and show the solution converges to a final value._" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"plt.rcParams.update({'font.size': 22})\n", | |
"plt.rcParams['lines.linewidth'] = 3" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"L = 0.64 #m\n", | |
"h = 4e-3 #m\n", | |
"E = 10e9 #N/m^2\n", | |
"I = 4*2**3/12*(1e-2)**4 #m^4\n", | |
"Ac = 2e-2*4e-2 #m^2\n", | |
"g = 9.81 #m/s^2\n", | |
"mu_E = 0.401e-3 #kg/m\n", | |
"mu_B = 0.708e-3 #kg/m\n", | |
"mu_G = 1.140e-3 #kg/m\n", | |
"mu_D = 2.333e-3 #kg/m\n", | |
"mu_A = 4.466e-3 #kg/m\n", | |
"mu_e = 6.790e-3 #kg/m\n", | |
"T_E = 7.28 #kg\n", | |
"T_B = 7.22 #kg\n", | |
"T_G = 7.32 #kg\n", | |
"T_D = 8.41 #kg\n", | |
"T_A = 9.03 #kg\n", | |
"T_e = 7.71 #kg\n", | |
"T_tot = (T_e+T_A+T_D+T_G+T_B+T_E)*g #kg\n", | |
"M = T_tot*h #N*m" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 1080x720 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"#6 nodes\n", | |
"N = 6\n", | |
"dx = L/N\n", | |
"A = np.diag(np.ones(N)*6)\\\n", | |
"+np.diag(np.ones(N-1)*-4,-1)\\\n", | |
"+np.diag(np.ones(N-1)*-4,1)\\\n", | |
"+np.diag(np.ones(N-2),-2)\\\n", | |
"+np.diag(np.ones(N-2),2)\n", | |
"A[0,0] = 7\n", | |
"A[N-2,N-2] = 5\n", | |
"A[N-2,N-1] = -2\n", | |
"A[N-1,N-3] = 2\n", | |
"A[N-1,N-2] = -4\n", | |
"A[N-1,N-1] = 2\n", | |
"b=np.zeros(N)\n", | |
"b[N-2] = -M*dx**2/(E*I)\n", | |
"b[N-1] = 2*M*dx**2/(E*I)\n", | |
"w_6 = np.linalg.solve(A,b)\n", | |
"xnum_6 = np.arange(0,L+dx/2,dx)\n", | |
"\n", | |
"#30 nodes\n", | |
"N = 30\n", | |
"dx = L/N\n", | |
"A = np.diag(np.ones(N)*6)\\\n", | |
"+np.diag(np.ones(N-1)*-4,-1)\\\n", | |
"+np.diag(np.ones(N-1)*-4,1)\\\n", | |
"+np.diag(np.ones(N-2),-2)\\\n", | |
"+np.diag(np.ones(N-2),2)\n", | |
"A[0,0] = 7\n", | |
"A[N-2,N-2] = 5\n", | |
"A[N-2,N-1] = -2\n", | |
"A[N-1,N-3] = 2\n", | |
"A[N-1,N-2] = -4\n", | |
"A[N-1,N-1] = 2\n", | |
"b=np.zeros(N)\n", | |
"b[N-2] = -M*dx**2/(E*I)\n", | |
"b[N-1] = 2*M*dx**2/(E*I)\n", | |
"w_30 = np.linalg.solve(A,b)\n", | |
"xnum_30 = np.arange(0,L+dx/2,dx)\n", | |
"\n", | |
"#45 nodes\n", | |
"N = 45\n", | |
"dx = L/N\n", | |
"A = np.diag(np.ones(N)*6)\\\n", | |
"+np.diag(np.ones(N-1)*-4,-1)\\\n", | |
"+np.diag(np.ones(N-1)*-4,1)\\\n", | |
"+np.diag(np.ones(N-2),-2)\\\n", | |
"+np.diag(np.ones(N-2),2)\n", | |
"A[0,0] = 7\n", | |
"A[N-2,N-2] = 5\n", | |
"A[N-2,N-1] = -2\n", | |
"A[N-1,N-3] = 2\n", | |
"A[N-1,N-2] = -4\n", | |
"A[N-1,N-1] = 2\n", | |
"b=np.zeros(N)\n", | |
"b[N-2] = -M*dx**2/(E*I)\n", | |
"b[N-1] = 2*M*dx**2/(E*I)\n", | |
"w_45 = np.linalg.solve(A,b)\n", | |
"xnum_45 = np.arange(0,L+dx/2,dx)\n", | |
"\n", | |
"#60 nodes\n", | |
"N = 60\n", | |
"dx = L/N\n", | |
"A = np.diag(np.ones(N)*6)\\\n", | |
"+np.diag(np.ones(N-1)*-4,-1)\\\n", | |
"+np.diag(np.ones(N-1)*-4,1)\\\n", | |
"+np.diag(np.ones(N-2),-2)\\\n", | |
"+np.diag(np.ones(N-2),2)\n", | |
"A[0,0] = 7\n", | |
"A[N-2,N-2] = 5\n", | |
"A[N-2,N-1] = -2\n", | |
"A[N-1,N-3] = 2\n", | |
"A[N-1,N-2] = -4\n", | |
"A[N-1,N-1] = 2\n", | |
"b=np.zeros(N)\n", | |
"b[N-2] = -M*dx**2/(E*I)\n", | |
"b[N-1] = 2*M*dx**2/(E*I)\n", | |
"w_60 = np.linalg.solve(A,b)\n", | |
"xnum_60 = np.arange(0,L+dx/2,dx)\n", | |
"\n", | |
"x = np.linspace(0,L)\n", | |
"w_an = M/(2*E*I)*x**2\n", | |
"\n", | |
"plt.figure(figsize=(15,10))\n", | |
"plt.plot(x,w_an*1000,color='k',label='Analytical Solution')\n", | |
"plt.plot(xnum_60[1:],w_60*1000,'b*',label='60 Nodes')\n", | |
"plt.plot(xnum_45[1:],w_45*1000,'go',label='45 Nodes')\n", | |
"plt.plot(xnum_30[1:],w_30*1000,'ys',label='30 Nodes')\n", | |
"plt.plot(xnum_6[1:],w_6*1000,'r:',label='6 Nodes')\n", | |
"plt.title('Deflection of guitar')\n", | |
"plt.xlabel('Distance along guitar (m)')\n", | |
"plt.ylabel('Deflection of guitar (mm)')\n", | |
"plt.legend(bbox_to_anchor=(1,0.5),loc='center left');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"[3.93195264e-05 1.57278106e-06 6.99013803e-07 3.93195264e-07]\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 1080x720 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"min(w_an)\n", | |
"N = np.array([6,30,45,60])\n", | |
"err = np.zeros(len(N))\n", | |
"for i in range(len(N)):\n", | |
" dx = L/N[i]\n", | |
" A = np.diag(np.ones(N[i])*6)\\\n", | |
" +np.diag(np.ones(N[i]-1)*-4,-1)\\\n", | |
" +np.diag(np.ones(N[i]-1)*-4,1)\\\n", | |
" +np.diag(np.ones(N[i]-2),-2)\\\n", | |
" +np.diag(np.ones(N[i]-2),2)\n", | |
" A[0,0] = 7\n", | |
" A[N[i]-2,N[i]-2] = 5\n", | |
" A[N[i]-2,N[i]-1] = -2\n", | |
" A[N[i]-1,N[i]-3] = 2\n", | |
" A[N[i]-1,N[i]-2] = -4\n", | |
" A[N[i]-1,N[i]-1] = 2\n", | |
" b=np.zeros(N[i])\n", | |
" b[N[i]-2] = -M*dx**2/(E*I)\n", | |
" b[N[i]-1] = 2*M*dx**2/(E*I)\n", | |
" w_N = np.linalg.solve(A,b)\n", | |
" xnum_N = np.arange(0,L+dx/2,dx)\n", | |
" err[i] = np.abs(min(w_N) - min(w_an))\n", | |
"plt.figure(figsize=(15,10))\n", | |
"plt.loglog(N,err,label='Error')\n", | |
"plt.loglog(N,1/(N),label='First-Order Convergence')\n", | |
"plt.loglog(N,1/(N**2),label='Second-Order Convergence')\n", | |
"plt.xlabel('Number of Elements')\n", | |
"plt.ylabel('Error')\n", | |
"plt.title('Error in Finite Difference Approximation')\n", | |
"plt.legend(bbox_to_anchor=(1,0.5),loc='center left');\n", | |
"print(err)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"The error matches a second-order convergence." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"2. Here we will record the first three frequencies of the 6-string guitar. " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"a. Consider the G-string on the guitar, L=0.64 m, $\\mu=1.14~g/m,$ and T=71.81 N [1]. \n", | |
"\n", | |
"__Guitar string equation:__ $\\mu\\frac{\\partial^2 y}{\\partial t^2}=T\\frac{\\partial ^2 y}{\\partial x^2}$\n", | |
"\n", | |
"a. Calculate the first, second, and third natural frequencies using 6, 30, 45, and 60 nodes. Plot the mode shapes and determine the number of nodes needed to converge for the first three modes. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The first three natural frequencies for 6 nodes are 194.43708661091495 , 379.1242858005909 , and 544.8006102150756\n", | |
"The first three natural frequencies for 30 nodes are 195.994645953565 , 391.48617646194407 , and 585.9727675700807\n", | |
"The first three natural frequencies for 45 nodes are 196.04043698528574 , 391.8522995904132 , and 587.2072799426845\n", | |
"The first three natural frequencies for 60 nodes are 196.0568723200582 , 391.9837461956978 , and 587.6507093798888\n" | |
] | |
} | |
], | |
"source": [ | |
"from scipy import linalg\n", | |
"L = 0.64 #m\n", | |
"mu = 1.14e-3 #kg/m\n", | |
"T = 71.81 #N\n", | |
"N=6 # 6-node guitar string\n", | |
"dx=L/(N+1)\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"e1=e[isort]\n", | |
"v1=v[:,isort]\n", | |
"w1=np.sqrt(e1[0].real)/2/np.pi\n", | |
"w2=np.sqrt(e1[1].real)/2/np.pi\n", | |
"w3=np.sqrt(e1[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for 6 nodes are',w1,',',w2,', and',w3)\n", | |
"x1 = np.linspace(0,L,N+2)\n", | |
"\n", | |
"N=30 # 30-node guitar string\n", | |
"dx=L/(N+1)\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"e2=e[isort]\n", | |
"v2=v[:,isort]\n", | |
"w1=np.sqrt(e2[0].real)/2/np.pi\n", | |
"w2=np.sqrt(e2[1].real)/2/np.pi\n", | |
"w3=np.sqrt(e2[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for 30 nodes are',w1,',',w2,', and',w3)\n", | |
"x2 = np.linspace(0,L,N+2)\n", | |
"\n", | |
"N=45 # 45-node guitar string\n", | |
"dx=L/(N+1)\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"e3=e[isort]\n", | |
"v3=v[:,isort]\n", | |
"w1=np.sqrt(e3[0].real)/2/np.pi\n", | |
"w2=np.sqrt(e3[1].real)/2/np.pi\n", | |
"w3=np.sqrt(e3[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for 45 nodes are',w1,',',w2,', and',w3)\n", | |
"x3 = np.linspace(0,L,N+2)\n", | |
"\n", | |
"N=60 # 60-node guitar string\n", | |
"dx=L/(N+1)\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"e4=e[isort]\n", | |
"v4=v[:,isort]\n", | |
"w1=np.sqrt(e4[0].real)/2/np.pi\n", | |
"w2=np.sqrt(e4[1].real)/2/np.pi\n", | |
"w3=np.sqrt(e4[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for 60 nodes are',w1,',',w2,', and',w3)\n", | |
"x4 = np.linspace(0,L,N+2)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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AChEREREREVE9uHTpkkNCQkKLU6dOuU6cODH9tddeS3d1dVXm7RkZGY5nz57lffhVjh8gERERERERUT14+umnw0+dOuU6ePDg82+//fYZ6+1hYWHGsLAwY2OMjeoPa6QQERERERER1VFRUZF8/PHHQQAwbdq0jPrar4h0EpFOALBo0SL/6667rpWHh0dHT0/Pjt26dWuxbt06L3t9Dx8+7DJixIioJk2atHdxcYn38fG5rmvXri3mz58fYK9PcXGxTJ8+PfTaa69t6+rqGh8UFBQ3aNCg2MOHD7tUNdZNmzZ53nbbbU1DQ0M7ODs7x/v7+8f17t27mb0xpqSkuA4ZMiQmIiKivbOzc7ynp2fHyMjI9rfccsu1S5cu9avO9WkMzEghIiIiIiIiqqMffvjB4+LFi05hYWEl8fHxRd9//73nl19+6Zedne0UGhpqGDBgQE7fvn1rXRtl0qRJEe+++254fHx8Xq9evXJ+/fVX9127dnkPHDiwxdq1a3+33vemTZs8Bw0a1Dw3N9cxMjKyJCEh4WJ2drbjnj17vHfv3u29bt06n5UrV6Y6OJTlVxiNRvTv3//azZs3+7q6uqobbrjhkpeXl2nnzp3eXbt2bd2rV68ce+N7/vnnQ1988cUmANCmTZuC+Pj4vPT0dJetW7f6bt261ff1118/MWXKlHPm9rt373bv3bt3q/z8fIfY2Nii3r1754iIysjIcPnhhx98ioqKHO67776Ltb1eDYmBFCIiIiIiIqI6+vnnn90BICYmpjgxMTFm1apVgZbb33777fB+/fpd+Pzzz497eXkp23uxb+nSpSFbtmz59aabbioAtKDHiBEjopOSkoKmT58e0bdv3z/MbQsKCmT48OFNc3NzHf/973+fXbBgwSknJ+32f8+ePW633npryy+++CLwzTffzJs6derl4Marr74asnnzZt+QkBDDxo0bf2/Xrl2xeX9DhgyJXb16dSBs+Pzzz31mzJjRJDg42JCUlHS0d+/el4M669ev90xMTGz+1FNPRd1yyy25HTp0KAaAN954IzQ/P9/hqaeeSnvllVfKZfDk5OQ47Nmzx72m1+hKYSCFiIiIiIiI6k6ffnJVUiq5rrvIzs52AoA9e/Z4mUwmGTt2bOaECROyQkNDS9etW+c1efLk6HXr1vmPHj3a9Nlnn6XWdP9PPPFEmjmIAgCOjo6YNWtWWlJSUlBycrJ3cXGxmAvbfvDBB/4ZGRkuERERJfPmzTttDqIAwPXXX1/0xBNPnHnqqaei5syZE2YZSJk/f34IADz77LNp5iAKAHh4eKglS5acbNasmW9RUVGFEiEzZsyIAIA5c+akWgZRACAhISH/scceS3/xxRebvPvuu8GLFi06DQBZWVlOADBw4MAKWS6+vr6mumTvNDTWSCEiIiIiIiKqI5PJBAAwGo1y1113nVuwYMHptm3bFgcFBRmHDx+e89lnnx0REaxatSrw0KFDVdYbsZaYmFgh4BAZGVnq4+NjLCkpkczMTEfz+9u2bfMGgCFDhmRbrhpk9uijj54TEZw8edL1+PHjzgBw9OhR59OnT7s6ODhg7Nix2baO1aNHj0vW76enpzsdOHDA08vLyzhkyJAK2wGgT58+uQCwd+/ey7VSOnXqlA8A48aNi169erVPYWGhVOc6/BkwkEJERERERERUR97e3ibznx988MEs6+0333xzQZs2bQpMJhPWr1/vXdP9N2vWrMTW+15eXkYAKCwsvHx/n56e7gIAsbGxxbb6eHh4qODgYAMApKamOuvPLgAQHBxscHNzszn1KCoqqsIYDh8+7KKUQl5enqOzs3Mnc3Fcy0fPnj1bA2VZOwDwwgsvZHbr1i13//79nkOGDGnu5+fXMS4urtW4ceMid+/e/aed1gNwag8RERERERHVh3qYHnM1swxatGzZ0mbQIyoqqvjgwYMeGRkZzjXdv6OjY9WNdEppcRAR+0ke5jZ1VVpaKoAW0ElISKi0OGxgYGCp+c/e3t6mnTt3Ht60aZPnmjVrfHbt2uX1888/e+3fv99z/vz5YVOmTDkza9as9HoZZD1jIIWIiIiIiIiojrp163a5fklmZqZTREREqXUbc0aGl5eXyXpbfYqIiCgBgGPHjrna2l5QUCDnzp1zBoCYmBgDAERHR5cAQFZWlnNRUZHYyko5efJkhSlJTZs2LQEAJycntXLlytSajrV379755roqRUVFsnDhwoDJkydHv/XWWxEjR47MjouLs5lV05g4tYeIiIiIiIiojmJjYw0dOnTIB4DvvvuuwtSdrKwsx4MHD3oAQNeuXRu0kOrNN9+cCwCrV68OMBgMFbbPnTs3UCmFqKio4tjYWAMANGvWzBAZGVliMpmwePHiAOs+Z86ccdqxY4eP9fuxsbGG5s2bF168eNHpm2++qfGUJUtubm5qwoQJ5+Pi4vKVUkhOTvaoy/4aCgMpRERERERERPXgySefTAeAWbNmRezcufNynY+CggIZPXp0dF5enmPbtm0L+vTp06CBlNGjR18ICwsrSUtLcxk/fnwTo9F4eVtycrLba6+9FgkA48ePL7fs8NixYzMBYObMmRGWBXELCwtlzJgxUbZW7AGA6dOnnwGA+++/P3bVqlUVgi1FRUWyYsUK3w0bNnia33v11VeDU1JSKmTMHDp0yOXIkSPugP0aL42NU3uIiIiIiIiI6sGwYcNytm7dmrlw4cLQnj17tu7QoUO+v79/aUpKimdWVpZzSEiI4ZNPPjnm4NCwOQ0eHh5q+fLlxwYPHtx84cKFod9++61fXFxc/oULF5x2797tbTAYZNCgQeenTJlyzrLfM888c3bjxo0+27Zt842Pj293ww03XPL09DTt2bPHq6SkxGHw4MHnV69eHWh9vBEjRlw8cuTI6ZdeeqlJYmJi8+jo6OKmTZsWubi4mM6cOeNy/Phxt7y8PMfXXnvtpHlZ46VLlwY//fTTUU2aNClu0aJFoaenpykrK8s5OTnZy2AwyG233Zbdq1evAutj/RkwI4WICICI3CciqpqPL6z69rXY1qSxzqE+iMgYq3P9uJr99lj1u7Ghx1rJWE7rY5jWWGOwGIuIyL9EZLGIHBKR8yJiEJFz+jWbLSI9GnucREREVH8WLFhwetmyZUfj4+PzDh8+7L5161Zfd3d305gxYzJ/+umnQ+3bt78iWRZ9+vTJ37t376Fhw4ZlGY1GWbdunX9KSopnXFxc/rx5846vXLky1Tqg4+TkhPXr1x995pln0iIiIop37tzp8+OPP3p37do1d9euXYdiYmJsFtEFtFV4tm/ffuiuu+46ZzKZsHPnTp/t27f7Xrp0yalLly65b7755olRo0ZdXlb5+eefTxs6dGiWl5eXad++fV7fffedf2pqquv111+fu2TJkmNffPHF8Qa8PHUi9VWpl4joaiYi9wH4oJrNv1RKDbLo2xfA9/rLa5RSp+t5eJWqz+OLyBgAiyzeKgQQqpTKraRPKwC/Wr19k1Lqh9qOoy5E5DSASADPKaVeaowx6OPoCmAhgA7VaL4bwFilVErDjoqIiKj2UlJSUuPi4s5V3ZLo6peSkhIUFxcXY2sbM1KIiCr6JwDvSh73NN7QrqhLANwBJFbR7l6L9gRARP4FYAu0IIoJwMcABgG4FkAggOYA/gVgCYBiAF0ADGyMsRIRERFRzTCQQkRUUaFSKq+SR5FlY6XUBqWU6I8rmo3SwD7Xn0faayAiAmC4/vKzBh/RVUBE2kALnLgBOAegh1JquFLqS6XUMaVUtlLqiFLqK6XUGAAtAHzXmGMmIiIioupjIIWIiOz5SH/uWUntl54AoqBlo3x5JQZ1FVgIwAOAEcDtSqldlTVWSp0EMAAMRBERERFdFRhIISKqo8qKzYqIk8W2ESLiKCLjReRHvfCoEpHxFu29ROQpfXu2Xpg0Sy9U+l+9GKyH5b5RVh8FAE5ZFX0trcOpHQHwI7R/K0bYaWPOVvkcWj2VKolIUxF5V0R+E5F8EcnTz+//ROSaavSPFpFFInJKRIr14rIfikjb6hxf34eHiDwmItv061siIukislpEbq3ufmzstxsAc/HYZUqpH6vTTyllUkr9bmeftbpeIvKS/h04YrGfBSJyQr9umSLymYjE2ejbweI7dGcV5+ylj0uJyH/stGkpInNE5FcRyRWRAv183qniHMoVDtZ/hjaKyFkRMYnILKv2ov+M/Cgil0QkRy/q+4j+s2cuplzpz4WIXC8i74vIEX2suSKSol/TADt9rH/WRURGi8gOEbmgX6OfReRxEXGxtQ+r/XXUP69f9XPJE5HfRWSliNwjIu52+jnp57lORDL073aWiHwnIkNFRKo6NhEREVWOyx8TEV05bgA2AbjZ1kYRiQSwFVodDUtB+qM1gDsB7AXwc8MNs5yPAHSDFjB51XKDfiOXaNGuyn9TRGQ4gPcBWN9IttYfD4rICKXUKjv9bwawBoCXxduR+vjuEJGq6rlARK4D8BUA6xv4MGh1TAaJyGIADymljFXtz4rl8RfXsG8Fdb1eFvvpDWA1AB+Lt0MA3AHgNhH5p1Jqs3mDUmq/iOyHVuNlBCrPlhkMLQMHAJbbOPYTAF4G4Gi1qaX+uF9E7lJKra38FCQJwN2VNHABsBLAbVabOuuPgQC+sO5ntQ8HAG8BmGhjcwf98YCIDFBK7a1kV04AVkH7PlmK0x+9ReQ2pZTJxhgcAbwJYAIA66BHC/0xRD+fb6z6RuvvtbPqFwSgn/4Yrl/vP+VykkRERFcDZqQQEV05L0DLVngdQHtoNzedAGzTt8+CFkTJB/A4gLZ6m1gANwGYAmAfAAUASqlSaMVvLYuUtkT5wri+dRzzpwBKALQRkXirbYOg3ZifhBYAqpSI9ATwIbSgwAkAwwBE6I97AaRBK277qYh0sdE/DNr0IS8AOQDGA4iGFgC5A0A6tBt570rGEANgM7QgSiqABwA0AxAA7TN5E1px2DEAnqvqnGwwL/tcBGBPLfpbjrUn6nC9LARAyxg6Bu0zCwMQDmA0tClZbgDe12/gLZmDIv1FJLCS/ZuzlXYrpf6wOoeJAF6DFkT5CkCCfvxgaDf1OwF4AvhMtNoy9jwILYiyGFpQJBDaz8dKizavoSyI8iW0AGAQtKDC2/qxp1ZyDED7/M1BlKXQfu6C9TEnAjgILQD1jYiEVrKf5/SxvKIfPwBAR5RNf+sP4D47fd/RxyAAdunHvQZl39GHAPwA/e8BMxHxg1bguB202jyPQQu2BUD7e+FZaN/LAQDmVTJ2IiIiqgIzUoiIKnIXES8720x1+E1uJLQlbi2XFz5v8ed/6s9PKqXmWrVJhXbz9JblDpVSeSJiWfy2QCmVV8vxVaCUyhaRtdBuwEdCC+SYmVfrWaGUUtWYMfAutAB+JoDuSqkzFts+EpHtAJKh3fjNgbaSjaUXAPhBqz3S32razEoR2QktU8fm1AvdPH0fJwFcr5SyXMLxAoDHReQPAPMBPCUi85VSGVWdmIVY/fmIHuiqi7peLzN/aJ/bTVbf3aUiUgAtWBYDoBeADRbbP4aWheQM4C4A71nvWA8m9DGPyWpbE2hBQwCYp5R6xKr7ehHZDGAjtIDFy6iYwWEWCeBlpdSzFu9lWxwrBloGB6Bl3iQqpcyBhvMAHhORcwDsLoetB6Mm6S+fUEq9YdVklYhsgBYgawHgaYv21poCuEcp9anFexf0jKmfoAVE/g0t28hyDDcCMF+n/wIYZpUVdQHAAQALRMT6/3AvQ/scL0H7vvxh1e9lEUmGVth4lIi8rZS6UpltREREfynMSCEiqmgtgFw7j0N12O8vVkEUa+Ybo7Q6HKMhfKg/DzXfvOk30LdYbbdLRG5A2XSDGVZBAQCAUioVZdOHrheRDhb9nVG2OlCSrdojSql0aDeT9sbQHFomAABMtAqiWFoILXDliqqXfrbmrz9frGG/cup6vWyYaicAuBJly1Zfb7X/NGjZO0DZtbc2FFq2SSm0gIylcdCyac5Cy46oQCllAPC8/nKgiPjYagctGDLDzjbz+BygZWlMtgiiWHoNQIXraMGcifKzjSCKebyXUHbNh1Wyr+1WQRRzfyPKAk6d9KlEtsZwEcCYyqaWWQbq9Ot2n5S0gzwAACAASURBVP7yeevMIIs+61CWAWfvMyUiIqIqMJBCRHTlVFYDAtB+Uw0Ar4nITX+iopBroP323zJ4MhzaDfRepdRv1djHjRZ//txuq/K1OG6y+HMcyuqirK6kf2W1Qvrqz6UAdolWJLXCA9pUk/16286V7K8h1fV6WSqAnalX+o36Uf1lmI0m5pv+7iISa2O7+WZ8nVIqy2qb+XpvB+BSyfU2f38coE1/sWWDUqrYzjYA6K4//6IHmCrQAw+V/QyaM2s22RurPl5zMDVYr0liy7eVHMdcVNgNFlPv9J/33vrLVUqp3Er2Ya0HtGleALCtivE39nebiIjoqsdAChFRRb2UUmLnEVOH/R6rYvtUaPVIWkD7rfEZEflUtFV+WtfhuHWilCqBNs0AKJvOY16t56OKPWwy33CeU0qdreRYqdBqxFj2AbQpC2Z2AzdKqVMW/a211J+doNVTsZd1lAvgdr1tsL1j2XFBf/arYT9rdb1els5WUTTXnKniYWPbKn27wCqDQURaouxmvEKRWZRd70RUfq0ts0TsXe+qfnZi9GebKx9ZsPnd0euLmGueTK5ivJbLWdsbb2WZL5aZQZbX3A9l09JqOuWmpcWfk1H5+M2rhNX0u01EREQ6BlKIiK6cSmur6NNVboC2sogBWobAXdBqZRwSkX0ickslu2hI5uk7/xKR7gCug5bZ8Uk1+5sLwFanfou5jWXRWC8b26vqb602hXfdatj+uP7czEYNi5qo6/WyVN2VhypkQOlZEeYCqdZTQcyvLdtYsjdNpzL2rndVdYk89Wd7QTSz+vxuAPbHW5trbnm9apKNAlyZ7zYRERHpGEghIvoTUUr9pJQaDK3WRh9oq39sg1b7oSOAdSIysJJdNNS4fgRwBNr0AXMWync2pnPYY74xtFfE15K5jeXNZJ6N7VX1t2beR0YlGUfWj7529mXPD/qzG6xqjtRQXa9XfTJnm7QSEcvpIOYaISuVUoU2+pmDGq/W4HrbymypDvOxPCttVfV3A9CWva7ueH+ws7/asPz87K48ZYd5/AqARzXH3qx+hk1ERPT3w0AKEdGfkFIqXym1SSn1klLqH9BqhJyH9hvs5yvv3WDMN7lN9efqTusBtOKtABAkIiH2Guk1J8w3w6kWmyz/3KqS/tfA/s20eXpImL6UckOwrNEypg77SdWfa3u96tN6aAVjAT0LRUS6QVuqG7A9rQcou9726p7UpxP6c4sq2rW08342ygoEX4nx2nIBZSsRXVfDvuZrLdD+riAiIqIGxEAKEdFVQCn1C8pWRbGul2Kw+LNjAw7DMnCSA+CrGvS1/M39kEra3WGnTwrKfus+uJL+le17vcWfR1fSrtaUUjsB7NRfjtIDDlUSEQe95ohZXa9XvdGLtCbpL+8REUcAI/TXliv7WDNf716VFGWtLzv05w72jqVPtfqnrW36Kj/mpZ8TRaSmGSF1ZjWGwTUcwxaU/T3QIN9tIiIiKsNAChHRn4C+okaTKpqZMwDOW71v+Tqi/kZVnlLqGIDm0AI5HZRSRTXo+z8AB/SX021lhIhIFICn9Ze7lVL7LfobAKzQX95jK0AhIuEAnqlkDAdRdnM/TV9i2C4RCRWR2tSeeBBAIbSg1lci0rWK40RBWxnpToux1ul6NQBzEC0MwK3QavcAwMdKKZOdPnOgFU92AfChiFQ67cYqkFRTKwCYoGVkzLKz4tVUAJGV7OMt/TkIwKLKatyIpqrsl9qYrT/7A1igB63sjeHy+JRSFwB8oL+8X0QGVXYQEfFtwKwsIqK/tZkzZ4b885//bNq0adO2fn5+1zk5OcX7+/vHde/evcW8efMCTCZ7/2xq5s+fH9CpU6eW3t7e13l4eHRs165d61deeSXYaKxu+a0/p8mTJ0eISKfJkyc32P9VryQGUoiI/hzCABwTkdUiMlpE2otIoIiEiUh3EfkQQD+9rXWB18Moy9Z4WkSai4iriDhVdiNWG0qpI0qp35RSJ2vR/VFoN7vhAHaKyN36+YWLyHBoGRWB0IrYPmqj/3+gTb9wBPCtiDwsIk1EJEREhkBbZtcJwKVKxvAggHPQVkvZIiJviEhXEQnSr3cbERkuIknQpovYWvK3UkqpA9AyNoqh3ZTvFJHlInK7iMSIiL+IXCsiA0VkMbTP71Ybu6rr9ao3Sqm9KFvxZo5+XoD9aT1QSp0AMEV/eTOAn0TkAf376aefR3cRmSoie1CWcVWb8aXq4wK0LJ1V+ucaICKtReRNADNRyeo/eh2gN/WXd0NbInuY/pn56d+1niIyHdoSyK/XdryVjGGHxXkMBbBVRAaJSIT+vWktIveLyBaU/X1g9iSAP6D9fKwUkUUicrP+8+EvIi1E5A4RWQLgFLTC1kREVM9mz54d9v333/u5ubmZ4uPj82699daL0dHRxbt27fJ+5JFHYhMSEq61FxQZOXJk1Lhx42IPHjzo2blz57wePXpcSk1NdXvmmWei+vfvf21paekVPhuypy4rChARUf1yBjBIf9izDsALlm8opUpE5D1ov3EfqD/MjPiT/F2vlNoiIqMALIEWoEiy0awQwAil1G4b/dNF5F/Qsjd8AczVH2ZF0JbaXQg7K8YopVJF5B/Qapm0BPC4/rDZHOWnTVWbUmqViPTSx9IOWm0R61VvLO2AtlqT5T7qdL0awHIAL6FsqeFfqsqCUUrNERETtGyP5tCuhz11PYcn9GP0h+2fo/XQrvE8aMEne/sohJbZ1AllWVC2NFQG0CT9eTyAHvrDllmWL5RSF/Xv3OfQgiRjUHmdnpI6jpOIiGz48MMPj3Xr1q3Ax8enXOrJ3r173W699daWGzdu9JszZ07gxIkTy2UYL1261G/58uXBQUFBhk2bNv3evn37YgA4deqUU8+ePVt+//33fq+88krIc889dxbU6JiRQkT053AMwI3QgiSbAByFthJJCYDT0JaXvQtAfzsrpDwFYAKA/0HLyFANP+Sa01dlaQ0tAHIY2rK2BdCyHd4B0EoptaqS/tsAtAewGNp1KQFwBlqWTlel1NpqjOGQvo/RAL7R+5dAC8ScAvAttJvYJvp0oFrRMxzioNV0+QDA79AyakqhFRXdA20qRzel1I16Jov1Pup0verZcpT/XlVrhR2l1Dxo09JehnbOF6AF+HIBHATwPrTg3811GZxSqhjAbdCyjnZDy9LKBbAPWnDinyhb8tfmCkdKKZNS6jkAbaBd3/3Q6gEZ9eefoX0WfVC2alG9UkoZlVKPAugKYCm0vxsK9TH/Di1QcjfK6qlY9k0D0B1aQPFzACehfa9LAKRD+7vlSQDNqvOzQkRENdevX7886yAKAHTu3Llo9OjRZwFgw4YNFX7hM2vWrHAAeP7559PMQRQAuOaaa0pnz559AtCyXa72KT5/FX+K31ISETU2pdRSaDcttem7AVptBlvbSu1ts2pngpaVsKOqtpX0f1d/1JpSajG0IEVt+tq9DlbtjkELVNSKPo3jgUq2V1VrxlxzZSlq+ZlXl/65fAGrbJMa7qNW10spNQ3AtGq0u7Ga+zuBWv4CRr/Bf1Z/1KRflZ+lVXsTtKwXm5kvImJe8vd0Ffv5HWWZIdU9dnV/1qv7c7IbtcjS0YvWrkL5FaSIiOhPwMnJSQGAm5tbuV94HT161PngwYMezs7O6r777su27jdgwIC8kJAQw9mzZ503bdrkecstt+RX53gi0gkAlFLJixYt8p87d27o4cOH3UUEHTp0yH/hhRfO9OvXL89W38OHD7vMmDEjbMuWLb5nz551dnNzM7Vu3bpg9OjR5x566KEKYwSA4uJimTlzZsiKFSuCTp8+7ert7W288cYbL73++utpVY1106ZNnm+99Vbonj17vLKzs528vLyMHTt2zH/yySczbI0xJSXF9T//+U/4rl27vLOyspxdXFyUn59faZs2bQqGDx9+/r777rto6zj1hYEUIiIi+ssTEQcAA/SXyY05FiIiqp4ffgiKKy09X+Ge1ckpsPTGG8+lNMaYauu3335zWbZsWTAADBw4sNxN/v/+9z8PAGjWrFmhl5eXzaziDh065G/YsMFv7969HtUNpJhNmjQp4t133w2Pj4/P69WrV86vv/7qvmvXLu+BAwe2WLt27e99+/Ytt79NmzZ5Dho0qHlubq5jZGRkSUJCwsXs7GzHPXv2eO/evdt73bp1PitXrkx1cCj7/YrRaET//v2v3bx5s6+rq6u64YYbLnl5eZl27tzp3bVr19a9evXKsTe+559/PvTFF19sAgBt2rQpiI+Pz0tPT3fZunWr79atW31ff/31E1OmTDlnbr9792733r17t8rPz3eIjY0t6t27d46IqIyMDJcffvjBp6ioyIGBFCIiIqIqiIgrACellL3/XD4NwLw08n+vzKiIiKgubAVRKnv/z+Sdd94J3LZtm7fBYJD09HSXn376yVMpJY888kjGvffeW+4m/9ixY64AEBkZabd+VZMmTUoA4Pjx4641HcvSpUtDtmzZ8utNN91UAGhBjxEjRkQnJSUFTZ8+PaJv375/mNsWFBTI8OHDm+bm5jr++9//PrtgwYJTTk7a5d6zZ4/brbfe2vKLL74IfPPNN/OmTp16Objx6quvhmzevNk3JCTEsHHjxt/btWtXbN7fkCFDYlevXh1oa2yff/65z4wZM5oEBwcbkpKSjvbu3fvyv+Pr16/3TExMbP7UU09F3XLLLbkdOnQoBoA33ngjND8/3+Gpp55Ke+WVVzIs95eTk+OwZ88e95peo5pijRQiIiL6KwgGcEREXrBYiSlYRG4SkWXQCuUCwDYA3zfeMImI6O9g586dXqtWrQr8+uuvA/bu3esFAFOnTk17/fXXz1i3zcvLcwAADw8Pu2sje3l5mfS2NV6R8YknnkgzB1EAwNHREbNmzUoDgOTkZO/i4uLLU04/+OAD/4yMDJeIiIiSefPmnTYHUQDg+uuvL3riiSfOAMCcOXPCLI8xf/78EAB49tln08xBFP2c1JIlS066ubnZPLcZM2ZE6PtLtQyiAEBCQkL+Y489ll5aWirvvvtusPn9rKwsJwAYOHBghSwXX19fk3WGTUNgIIWIiIj+KsIAPA9gF4AsAGehBU7u1bfvB3CPXkeEiIiowXz66acnlFLJubm5+/bu3Xvw/vvvP/vmm29GxMfHt05NTXW2bGv+Z0mkyhJatZKYmFgh4BAZGVnq4+NjLCkpkczMzMvBmW3btnkDwJAhQ7JdXV0r/Hv56KOPnhMRnDx50vX48ePOgFbj5fTp064ODg4YO3ZshfopkZGRpT169Lhk/X56errTgQMHPL28vIxDhgypsB0A+vTpkwsA5mAUAHTq1CkfAMaNGxe9evVqn8LCwoa5cJX406dEEREREVXDWWgrMfWDtlpSKLRlsC8A+AXaKjZLlFJc9peIiK4YLy8v1alTp6IFCxacDgsLM8yYMaPJ2LFjo9avX3/U3Mbb29sEAPn5+XYTHcxZK15eXjVetqdZs2Y2/+3z8vIyXrp0ybGwsPDycdPT010AIDY2tthWHw8PDxUcHGw4e/asc2pqqnNsbKwhNTXVBQCCg4MN1oV0zaKioiqM4fDhwy5KKeTl5Tk6Ozt3quwcsrOzL8cuXnjhhcwff/zR+8cff/QeMmRIcxcXF9WqVauC7t27544ePTq7S5cutla4rFd/60BKUFCQiomJaexhEBERUR116mT3/1/BAHrrj3mdO3e+YmMiIroaJCcnn1NKBVfdkurq4YcfPjdjxowmmzZt8i0uLhZzxoc5aJGWluZir695W0xMjM0AR2UcHas/G6g62TH1ldhZWloqgBbQSUhIqLQ4bGBgYKn5z97e3qadO3ce3rRpk+eaNWt8du3a5fXzzz977d+/33P+/PlhU6ZMOTNr1qz0ehmkHX/rQEpMTAz27t3b2MMgIiIiIiJqFCJyorHHYI+TU2CpvVV7GmM8dRUUFGR0dHRURqNRzp4963jNNdeUAkDXrl0LAODIkSPueXl5Ymvlnv3793sCQOfOnQust9WniIiIEqCsAK61goICOXfunDMAxMTEGAAgOjq6BACysrKci4qKxFZWysmTJysEiZo2bVoCaMtCr1y5MrWmY+3du3e+ua5KUVGRLFy4MGDy5MnRb731VsTIkSOz4+Liahx0qi7WSCEiIiIiIqI/nRtvPJfSs6dKtn5cbUsfm3377bfeRqNRvL29jeHh4ZeDQc2aNTO0adOmwGAwyNKlSwOs+61Zs8YrMzPTOSgoyNCnT58GLaR688035wLA6tWrAwwGQ4Xtc+fODVRKISoqqjg2NtZgHn9kZGSJyWTC4sWLK4z/zJkzTjt27PCxfj82NtbQvHnzwosXLzp988033nUZt5ubm5owYcL5uLi4fKUUkpOTPeqyv6pUO5AiIi1FZKKILBeR30TEJCJKRO6oywBEZJiIbBeRHBHJE5G9IvKIiFQ6ttr2IyIiIiIiIqpv3333ndd7770XYKv46fr16z3HjRsXDQD33HPPOcvVcADg8ccfzwCA//znP5EHDhy4nA2SlpbmNHHixGgAmDBhQkZNpunUxujRoy+EhYWVpKWluYwfP76J0VhWkiU5OdnttddeiwSA8ePHl1t2eOzYsZkAMHPmzIhDhw5dzj4pLCyUMWPGRBUVFdm8T58+ffoZALj//vtjV61aVSHYUlRUJCtWrPDdsGGDp/m9V199NTglJaVCxsyhQ4dcjhw54g7Yr/FSX2oytWccgIn1eXARmQvgYQBFADYCMADoA2AOgD4icqdSqkIxndr2IyIiIiIiImoIhw8fdp04cWLMk08+GdW2bduC4OBgQ15enuPJkyddjx496gYAPXv2zHnrrbfSrPuOHj36wsaNG7NWrFgR3Llz57bdu3e/5OTkpH788UfvvLw8x759+158+umnzzb0OXh4eKjly5cfGzx4cPOFCxeGfvvtt35xcXH5Fy5ccNq9e7e3wWCQQYMGnZ8yZco5y37PPPPM2Y0bN/ps27bNNz4+vt0NN9xwydPT07Rnzx6vkpISh8GDB59fvXp1oPXxRowYcfHIkSOnX3rppSaJiYnNo6Oji5s2bVrk4uJiOnPmjMvx48fd8vLyHF977bWT5mWNly5dGvz0009HNWnSpLhFixaFnp6epqysLOfk5GQvg8Egt912W3avXr0adApUTbI3DgB4A8DdAJoB2FqXA4tIIrRgSAaADkqp25RSgwE0B/ArgMEAxtdXPyIiIiIiIqKGkpCQkDtx4sT01q1bFxw/ftxt/fr1/jt27PApLCx06Nev34UPP/zw6ObNm4/YqoECAMuXLz/53nvvHW/Tpk3B7t27vbdv3+4TFRVV/PLLL5/87rvvjlpnsTSUPn365O/du/fQsGHDsoxGo6xbt84/JSXFMy4uLn/evHnHV65cmergUD6U4OTkhPXr1x995pln0iIiIop37tzp8+OPP3p37do1d9euXYdiYmLsrpr3wgsvZG7fvv3QXXfddc5kMmHnzp0+27dv97106ZJTly5dct98880To0aNurys8vPPP582dOjQLC8vL9O+ffu8vvvuO//U1FTX66+/PnfJkiXHvvjii+MNeHkAAFLbirsisgXAPwDcqZT6vBb99wLoBGCUUupDq23/ALAFWrAkUillqms/Wzp37qxYbJaIiIiIiP6uRCRZKVWtJc1SUlJS4+LizlXdkujql5KSEhQXFxdja1uj1BMRkSbQgiElAD6z3q6U2gogDUAYgBvq2o+IiIiIiIiIqD401vLHHfXng0qpQjtt9gCI1NvurGM/IiKierPilxV4duOzOJlzEiFugjExJvQNLd/G2TkUPXpkID0duOce4NNPgbAw2/uI8o3CzD4zMbz9cACo0GfHjjAYDJnl9r8hE1ic6oCzRapCfyIiIiJqOI0VSInVnytbs/ykVdu69CMioqtRSQnw5ZfArl2AqdLZmlfMnOJMTFz7EEx3FAHeCplFCrMOa9ssgykGQyZ+6tULL/8+EdvTb8ej8V/hqeb/BwD4NjQTM1v9gSJH7ZxO5JzAmM/uxfEXX0T/zFC8+sdjl/tMbzsXhmcrBlFmHQaK9Wty4nQx7h14DS7+cxgecbWK6DSWiAhg2DAgMrKxR0JERERUrxorkOKlP1e2Bnae/my5nnRt+xER0dXkxAlg4UJgyRIgM7Pq9pXYsRIwBJR/b0MmsPgocLYEiDgTBu8VSdhccDfCUPWxnm4/F6aTPYCt04HbHgEAFJuAxcfLB1L69StASYn75defpw/C5+mD4IZChE7yQJHV6oVFjiZMX/UTnjNW7OOyrRDr1nlcfn/xce2Yl219DqaTPfDUDwfwyC+PVH1RAKQjDL09kpA3/G6kRWQixAUYcy0qZtZkAz0Sq7XLip5+Grj9duChh4C+fQGHRplRTERERFSvGut/NOZ1tWta6ba2/cp2IDJWRPaKyN6srKza7oaIiOqb0QisWQPcdhsQGwu8/HKdgyiA7SDKrMNApgFQAqT99Bx+K7wRIwKmV7ofdxRAoJD3y8OAcgT2Pgy8oICXtNX1zhaXb//xx00xDCvgocf+PZCP4ViO44jFSV/bx1ATbff55JPySZaXj/VSgTaGvdqY8n55GAIFd1S94t/IAO28T/80HUq06zHrsHZ9LFlfvxoxGoHVq4F+/YCWLYFZs4Dz5+uwQyIiIqLG11gZKbn6s1clbczbci3eq22/y5RSCwEsBLRVeyofJhERNbjMTOD997UMlNTUitsjIoB77wVCQqrcVfolT9zzYX8sHJQEU+4fSE9PhwO+KdfmcjbHSwVAaVn2x8bshyF4GI4oxKPwgLWRaIptmIXfnQYBpZ6AUz7QejWQ8DgAIMS1fPvAwAxkhXmgMMMdzg7FKDS543y4F3a1aIWgoovIci+ucIxg5ws4H+6FwvSyPpkhbggIKB/dCHEFMosBTGwKrJsF/FY2ppalq3EzHsdjdq7RuyiAEe6AeRHBvQ9rD6dCFE/zqJBZAwBnHn8cRrdYjPj4dnx67xqE+VQRqCktBdauBbZsKXvvyBFg6lRg2jTgrru0LJVu3QARu7shIiIi+jNqrEBKqv4cXUmba6za1qUfERH9mSgFbNsGvPcesGoVYDBUbHPLLcC4cVqGirPz5bcti7Q28W6Cf0f/GxHnI7B//36sWtUX6ekRaPWWJ4BFAIDNU8rv9nI2h40gBEpXw8V9OtbHtkFUVBSio6PRpEkTBAQEwNfXF6eW98Dhde5QToWA0Q1wvQR4Z8LVARhjozKXV7fBGBcOjB3rioULgfT0QRi0ahDyf1mBsV+PRYGhLCDh4eyB/xuyECsP/8uqzx0V9jsmVq+R4p2hjcHoBjgVAkZ3RCfcgC53voSLFy8iIyMDJ06cwMmTJ3Hy5ElkZGQAaApgFmAnIGSdWQMAkbNmQeQ9KBWBm5Y3xf33J6N9+/Y46nEUb6a8iVM5pyoWvJ06Ffj1V2D+fGDZMiAnR3u/uBj46CPt0aGD9hkPHw54c0YuERERXR1EqdolZYjIFgD/AHCnUurzGva9BlpR2BIAfrZW4BGRUwCaALhRKbWjLv3s6dy5s9q7d29Nhk5ERHVx8aJ2Az1/PnDoUMXtAQHA6NHAgw8CzZtfXr1mxYpS5Ob+gXk/zMOCtAUwiEXgpQTAKwWAcq+4PxRi8+by2SX37NKzOQDg63nAvrGAYwlgdMHo+wxYssQVYidLYsgQIDwciOy1Bq+8fR55570Qet+dla7aY09lq/ZYq2zVnsyln8ErMA9PTwpE2uYBSE/XYlO2FBUV4fTp05g82Q1ffxN++bzRacHlei+hrkDSDWV9rGu9XCaFwNMegEvZWy5wwVNtn8KUhCnw8fEpW33ogwKEbUnSAme2/t318gJGjNCCKh062L1mRERU/0QkWSnVuTptU1JSUuPi4s419JiI/gxSUlKC4uLiYmxta5RAit4/GUA8gFFKqQ+ttv0DwBYAGQAilVKmuvazhYEUIqIrJDlZu4n+5BOgoCwLw1YhWABwcgrGhQtLMH16EH7+uSscHBbBZHoImATAz8b+08KARbMADALgCaAAwcHb8c9/bsZ9971WrmnZijcAkj4HvDLgdsNH6JG1DD4lLe0GIf5KhgwBLrn8jh3Bo1C0aySQFwbccwdcHYDHW5Sf2nP+fBjuvfc9FBTcAu3a5gNYDTzwOBBpo4bNRQBvA02bNoWT00L88Udv3H33BYwf36ZCMAiwUcy2e3ctoHLHHYCbW/2eOBERVcBACpFtlQVSGrTYrIi8IiK/icgrNjab33tNRJpZ9AkBME9/+aqNYEht+xER0ZVUUAB88AHQpQvQubO2Ak9BAVa0B2ImAQ7PA4k2ipsCQJ8+J3D77QPx88/dADjAZHoQgALm2KnNEZGBLl1aQ8QDrq4mODi44447+mHp0lfh7Fw+VaRvqBYsCHVzgNxzJ6KHv4HFYx/FhqS/RxAF0DJWNiS1xOKxjyJ6+BuQe+5EqJtDhSAKAISFKdx77yA4OHjAxcUEEQ+0bRsFRNgpBOwLAAU4duwoDh/uA6UESUkBuPHGDPTrV/Hz+9ZQ9n2ImQSsyN0JjBwJNGmiTQ86cqTez5+IiIioLqqdkSIi8SgLVABAG2hLDP+BspJ1UErdYNFnKYBRAJYppe6zsc95AMYBKAKwAYABQB8APgC+AHCHUspYX/2sMSOFiKgB/PZbWV2Mixcvv21ebvfE2HtQ6Fc25cVeFsQdd1hmmOTD3X0dTGMmozjwRIVDRvtGI35bKsLDgbFjodcWsT/FhWrGPKXJ8truuzkGJ3IqfhbO+c4wvRUKo/FVWH5+ffuuxrhxj5crnFsuOwgAcsPg8N8kzPa8G4/8ZhGoSUgoq5fj1Fjl3YiI/pqYkUJkW31lpPgA6GrxMFeFa271frUppR4GMBzAPmjThPoBOAJgPIBEe8GQ2vYjIqIGUlIC3hFCmgAAIABJREFUfPYZ0Ls30Lo18M475YIoJmdnTAp8B78V3IjCH54r17XYpK2kYykwMAMhIW4A3OHsbISDgwfuu28IljwwEx7O5WueeDh7YGafmVi1Cpg7F4iL054ZRKk/tq7tzD62P4sPRn6A/PwjGDy4D0Tc4eBQAsANHh6XKqw+dHkFJbOtz8F0+kY86fJ8+QGsXw8MHgzExAD/+Q+QltYg50lERERUHdX+tY5SaguAGq1RqGeh3FdFm48BfFyT/dalHxER1aOTJ7UUhcWLtWWMrWR4euKa/CyUGtyB8/qbFsvtYpp2I25rpZgePRIrZEGYi7FWt0grNZyqP4swjBsHjB3rggULFA4cCK2wj8ufu9VS1Pn7x0EwDi4oQpF4QMzZs2lpwAsvAC++CPzrX9oSyn36AA4NOlOZiIiIqJxaF5v9K+DUHiKiWjAagXXrkP72p7jn+3/jU9yNMJQFUYwAvgIwH8D3ABTCAFhM07Fcbtdb62e9UgwA9Oz59/336a9oy5aKv4u5vIJSbpjNpaiBxxGNTIwF8ICDA4JNFcufpcd2xz2ShE+/9kRYGxuVi4mIqFKc2kNkW6MVmyUior+Qs2ex4qW7EfOUKxx2D0CLjK7YjhsxA9MBAGcA/AdANIAhANYD0EIhGfD0NAFwh6NTCWB0A1wvXQ6iuDoAY2LLH8q6QCxd/Wx9pmNitc8f3hnad8LopmUqlboDyAWQiRMAngUQaTLhHmhL81kamTMc245FIHxUEmKmeWHFyheAv/EviYiI6M9n/PjxkSLSSUQ6TZ8+3eZ/chITE2PMbWw9YmNj217pcdenyZMnR4hIp8mTJ0c09ljqAyu2ERGRXTt2hF1esnZDJjBLAcVva9Mw8vQ27+FhvIeHARQC0KbqODo6onv37hgwYAAGDBiA6dPbIjxcMHasC6a88jt2HmqKIgin5vyN9OiRUeG9ngBa/7ICz258FifyQ+HVfQWenhSItM0DcOLEvzF8uB/WrFmDb7/9FtnZ2fgUwKcAWgP4AwUohXtZufu9D+PE3ocxwqkQvy53KFe82Nk51ObxiYiIGtrWrVs95s+fHyYiqM5skPj4+LyYmJgKk57DwsIMDTJAqhUGUoiIqKKcHOCjj2BoVzZl53Jh0IlNbU7DCAh4BQMGjMSAAQOQkJAAf3//y30tC79uSGoJoCUArlJPWq2V4e2HA5Ms3rwDAFwBDMXQoUNhNBrxv//9D2vWrMHatWvx888/A2gKtJwFHLX4HupTxhYfL78KlDkYSEREdCUVFhbK/fffHxsQEGCIi4vL37Bhg19VfUaNGnVuwoQJ56tqR42LU3uIiAjp6cA//gFkrN8PPPAATOHhwKOPlmtzuTCo9TQMoxsGD+6Ls2f348MPP8Tdd99dLohCVFfmDKeZM2fip59+wunTp/+fvTuPi7rOHzj++gAzDMOlooBAXJ6pSHmbWR5o2Yp5tB1iW5axaZaWbVtqWhq/ctNyOxRJy20dtV0Tt9M7zXNVWo8sM01AuURREBhgYL6/PwaQUyGVQX0/Hw8e43y/n+/wHmS+3+E9n8/7TVzcLHCr/HtYtmSspuLF1j59wGQiLbHQ9rsuE1SEEEJcYy+88ILf8ePHDfPnz0/y8PCQzrI3EEmkCCHEzc5sZnbUEbZ/b2XWPdth8WIczOZqw7ydK9zJ84ausTCuF253mABfHB0dGyxkcXPz9/fnqaeewqUopPz3kK6xkGubhlLpd7WUw86dMGYMr7X7p+13fUp2A0cthBDiZrJ582bXjz76yDcyMjJr9OjRdrnolNVXAfjoo4+a3nbbbe2NRuPtrq6ut/fu3bvtunXr3Go79ujRo/oxY8YEBgQEhOn1+i4eHh639ezZs21sbGytld0LCwvVjBkzfFq1atXR2dm5S/PmzcOHDx8ecvToUf3lYt28ebPr0KFDQ318fDrrdLouTZs2DR8wYEDr2mI8cOCA88iRI4P9/PzCdDpdF1dX19v9/f3DBg0a1Grp0qWXnflzpWRpjxBC3Kx++QVDxxAKS1yA9sDFeicGzOwprXdSZlwIzD1aurzn4QcAMOqMxE5wJCqsgWMXAvjIdJboL18i35IPQycCNRcvBnAhnwJcoMh2f+FyTxYuB4OuBHO+Bk7ylkgIIRqj2L2xzWZ9P8s/PTdd7+vmWzTjrhkpT3d/OuvyR9pPfn6+evLJJ4M9PDyKFy1adLI+x27ZssX94MGDLnl5eY7e3t6Wu+66K3f48OE5V/KB1eTJk/3ef//9ll26dMnt379/9s8//+yye/du98jIyLbffPPNLxEREXkVx2/evNl1+PDhbS5cuODo7+9fNHjw4PNZWVmOe/fudd+zZ4/7unXrPD7//PNEB4eL8zJKSkoYMmRIq++++87T2dlZ69WrV46bm5t1586d7j179ry1f//+tSaTZs6c6TN79uwAgA4dOuR36dIlNy0tTb9161bPrVu3ev7tb39LmjJlSnm3qD179rgMGDCgfV5enkNISEjBgAEDspVSWnp6un779u0eBQUFDo8//vj53/0DqwN51yCEEDcJ0yET0zZOJTknGb88J+asLeZEiS8vMpc1DCcfV1zI43biwekVZt0/imf4vPz4spoTi0/YlvkEegZJoVhhV2W/e9M2TSM5OxlvZ41xIZXro5SJJpRE5rKx9HfdSB4jiGeu5UUW33Ge1+/VkeKYJwWQhRCiEYndG9vs+fXPBxUUFzgApOWm6Z9f/3wQQGNOpkyaNMk/MTHREBcX91vLli2L63NsfHy8V8X77733Hq1atSpYvnz5bz169Kg+ZbgOli5d6r1ly5af+/btmw+2pMeYMWOCVq5c2XzGjBl+ERERv5aNzc/PV1FRUaEXLlxwfOKJJ04vWrTopFPphw179+413Hvvve3WrFnjNW/evNy//OUv5cmNt956y/u7777z9Pb2tmzatOmXTp06FZY93siRI0OqPq8yq1at8pg1a1ZAixYtLCtXrjw+YMCA8qTO+vXrXUeNGtXm5ZdfDhw0aNCFzp07FwK8/fbbPnl5eQ4vv/xyyptvvllpsW52drbD3r17XX7Pz6k+ZGmPEELcBP6x4R3GrXqMpJxkNCDFtZjoSNgclo4HOZgx4IgZMy4YBnTj27OH+feqVdVa1kb4wMpesC3Ch8TJifLHprC7qLAoEicnYp1p5fO+PjUmUXQ6Hx7a8Tm/dbyFfAzoMFOAAQ9y2BSWwaRBhZxyzEVDIyk7iafin8B00NTwT0YIIUQls76f5V+WRClTUFzgMOv7Wf72iulyNmzY4Prxxx/7REREnH/qqafO1fW48PDw/DfeeOPkvn37DmdnZ/8vMTHx4IoVK461a9fOfPz4ccOQIUPanjhxQvd7YnrppZdSypIoYKs9Nnfu3BSAhIQE98LCQlW275NPPmmanp6u9/PzK1qwYMEppwozNrt3717w0ksvpQJ88MEHvhW/R2xsrDfAtGnTUsqSKABGo1FbsmRJssFgqLHLwKxZs/xKHy+xYhIFYPDgwXnPP/98WnFxsXr//fdblG3PzMx0AoiMjKw2y8XT09NadYbNtSCJFCGEuAGlpcHdd2n8753lHG7dmhnfTKHAoXKNs3w9PD8QNrq3pm/fn9iw2cyECQ54erbHw8MDsLWs7ddPq/YlrWRFY3Sp39c77riDNm3v4umnFe8t3E/n0A1sV368PND2WqjIrBXx16WPcvjJJynJzLxYjFl+7YUQokGl56bXWFujtu32lpubq5566qkQV1fXksWLFyfX59gZM2acnjZt2umuXbsWeHh4WIOCgiwPP/xw9v79+38ODw/Py8rKcpo5c2bL3xPXqFGjqiUc/P39iz08PEqKiopURkZG+bqh77//3h1g5MiRWc7OztX6NT/77LNnlFIkJyc7lyV2jh8/rjt16pSzg4MD0dHR1WYK+fv7F/fp0yen6va0tDSnH3/80dXNza1k5MiR1fYDDBw48ALAvn37ymuldO3aNQ9g/PjxQfHx8R5ms1nVdOy1JEt7hBDiBlOUksKkfj+x7dgAPtp2ngUc56RnzWPPNFGczhlUfr9//wYKUgg7sLXhdgB68/TTUFBQgHGOAqq9TyTVQ6Pjux9T8PHHTPL6jO1Zf2TW67BgYYO/VxNCiJuWr5tvUVpuWrWkia+bb5E94rmcSZMmBSQlJTnPnz8/MSgoyHI1HtNgMGh/+ctf0saMGdN68+bNtbyju7TWrVvX+PNyc3MrycnJcTSbzeUTLNLSbD/vkJCQGnrg2WaYtGjRwnL69GldYmKiLiQkxJKYmKgHaNGihcVgMFS/qAKBgYHVYjh69Khe0zRyc3MddTpd10s9h6ysrPLcxWuvvZaxa9cu9127drmPHDmyjV6v19q3b59/xx13XBg7dmzW710CVR+SSBFCiOvUjh2+WCwZlbbdc08+RUX+gG3Ga1nxWPWGGV41VnuMQM/AhghViEbJYDAQ6BlIUnZStX2B2RUK1J61bVsYa/vS682sW3fx9aTT+cgsLSGEuAZm3DUjpWKNFACDk8E6464ZKfaMqzZr165t4uDggMlkam4ymZpX3Pfbb78ZAD755JMWa9eubRISElLw2WefVb8A1SAsLKwA4PTp079raU99CtVqmi0PolTtHxyUjblSxcXFCmwJncGDB1+yOKyXl1d5rRl3d3frzp07j27evNn166+/9ti9e7fb/v373Q4ePOgaGxvrO2XKlNS5c+emXZUgayGJFCGEuE5VTaIALF8eysKFc9m16WLx2O6uG7j9pa185GS0dTcpZdQZiRkY05AhC9HoxAyMIfrL6EqvDRdHA/efbsMwx7Z8XPJWeTFmZ+c8+vaNZ/z4Fys9Rk2vRSGEEFeurKDs9dS1x2q1snfv3lrbCp86dcr51KlTzjk5OXXObpw+fdoJwGg01lhn5Gry8/MrAvjtt9+ca9qfn5+vzpw5owMIDg62AAQFBRUBZGZm6goKClRNs1KSk5OrzSwKDQ0tAnByctI+//zzxPrGOmDAgLyyuioFBQUqLi6u2QsvvBD0zjvv+D366KNZ4eHhNc6quRqkRooQQlwnTIdMBM8PxuF1BwLe9GZjDX+7eXml4+pqKx6rcyiiQBnp+KfhzJ/xLnGRcQR5BqFQBHkGERcZJ8VixU0vKiyq2mvjo/sX83fTQfrmHSO7e3vMGDBgpqjIgNGYQ7NmlV98GzMg6N1AHF53IHh+MKZDUqhWCCGulqe7P52VOiX1kHWmNSF1SuqhxpxESUlJOaRpWkJNXyNHjjwL8Oqrr57SNC3hyJEjP9X1cVesWNEMICws7JoXUb3rrrsuAMTHxzezWKqvTvrwww+9NE0jMDCwMCQkxALQunVri7+/f5HVamXx4sXNqh6TmprqtGPHDo+q20NCQixt2rQxnz9/3umrr75yv5K4DQaD9txzz50NDw/P0zSNhISE6lOxryJJpAghRCOXlga3dsvgKdN0krKT0NBIKcpk7lFqTKacO+fNn59W7P1Bz/jxqrxAZsXuJtJxR4iLantt6J2d0Qd0ZfwER/71z2MMGxbLuXOV2wJtzIC5RyE55+TFrj+mGdzaLUOK0wohhKiTnTt3uqxYscKzuLhyp2SLxcJrr73ms3TpUm+AyZMnX/MpkGPHjj3n6+tblJKSop84cWJAScnFZgUJCQmGOXPm+ANMnDix0lUuOjo6AyAmJsbvp59+Kp99Yjab1bhx4wILCgpqzD3MmDEjFeDJJ58MWb16dbVkS0FBgTKZTJ4bN250Ldv21ltvtThw4EC1GTM//fST/tixYy5Qe42Xq0WW9gghRCP36nOZHEloDuovMPSZ8u2FVlh8gmrtXmfNeoB+/WwzKj/8sCEjFeLGYytQCxCGe0DnavsXn7C9Fisyb5rCkR+aM+s1Kwti5TMrIYQQl3b8+HHnP/3pT63Gjx9fEhwcXNCyZcui3Nxcx19++cUlMzNT5+DgwLRp006NGjWqxs42V5PRaNSWLVv224gRI9rExcX5fPvtt03Cw8Pzzp0757Rnzx53i8Wihg8ffnbKlClnKh43derU05s2bfL4/vvvPbt06dKpV69eOa6urta9e/e6FRUVOYwYMeJsfHy8V9XvN2bMmPPHjh079cYbbwSMGjWqTVBQUGFoaGiBXq+3pqam6k+cOGHIzc11nDNnTnJZW+OlS5e2eOWVVwIDAgIK27Zta3Z1dbVmZmbqEhIS3CwWixo6dGhW//7986t+r6tJru5CCNEYWSwY9MUoBUtWtQAcYd8EeE2DNy5eF05f01y7EOJyKr0G38i3vUb3TQDNkYWLHFAKXGpuYCCEEEIA0L179/yxY8eeDgkJKUhNTdVv3ry5yd69e91dXFysDzzwwNktW7b8/MYbbzRYQa6BAwfm7du376fRo0dnlpSUqHXr1jU9cOCAa3h4eN6CBQtOfP7554kODpVTCU5OTqxfv/741KlTU/z8/Ap37tzpsWvXLveePXte2L1790/BwcG1dlp67bXXMrZt2/bTgw8+eMZqtbJz506Pbdu2eebk5Dj16NHjwrx585Iee+yx8iVdM2fOTHnkkUcy3dzcrD/88IPb2rVrmyYmJjp37979wpIlS35bs2bNiWv44wFAXa2Ku9ejbt26afv27bN3GEIIcdGpU2S88Qb6Tz+lwOzJi8wtL3SJUx7cGg+DXwR327XUxxlW9qr8ENJBRIhro6ZOWQ/vhoyyZMoFX1g3F44Mh2JXjOQxgnje5EWsPYLwnz0bp0GD4BKdEIQQoqEppRI0TetWl7EHDhxIDA8PP3P5kUJc/w4cONA8PDw8uKZ9srRHCCHszWpFW7+eM7Nn02znTi6u1DHjQQ4FGHBSZopLDOCcU55EMeqMzPtDHP2k1okQDaKmBOU8L9PFrj/u6bbXaIkBnTJToBnwIIdbyIA9GXDPPWR5e2N8/nkMf/4zNG1qh2chhBBCiCslS3uEEMJezpyh5M03udCyJWrIEFrs3EnFPnhpwB6XYP7Q7xf2JDgz8MFjuBSGStcdIRqRql1/XIpCGPjgMVavSqVfwNccxrfS+GanT2N45RUs3t7kP/QQ7NkDN/HsYCGEEOJ6JEt7ZGmPEKIhaRppX+zloafcWH52EAHW1GpDNgP/69WLvnPn0qNPn4aPUQhx1Zw5c4ZVr72GbskS/lhQQLV2BID51ls5P3YqD//nET5b5Yivbw2DhBDiGpGlPULU7FJLe2RGihBCNADTfxcTPLsZDq870PbVfWzPbMf/WaeV7z8HvO/oyOzRowk6dowpu3ZJEkWIG0Dz5s15+oMPGJ2Vxaq//51Xvb35X5UxLj//zKNv5fD9DmgZuYDgt/0wHTLZJV4hhBBCXJ7MSJEZKUKIa6SsMOXGDJh7FApn5UOxS7VxjhQwe3oMT02aRPPmze0QqRCioVitVr784gu+ee01eh84wHjyKaD6eQEnM9OWGcvbm0sRaSHEtSIzUoSomcxIEUKIhlRQAJ9+Wt7dY/EJKLQCk0Khk8nWfQfAKY8ePX7l1980Xpk9W5IoQtwEHBwcuH/4cBbt30/7XbuIHPQ0Tu0qnxcIWwaTQlhcoXlj1W5BQgghhLAfSaQIIcTV8uuv8OKL4O8Pjz1Wvvl0WWvUCh09cDJDiYGuXdsQElLDp9FCiBter169+Nf6f1DsVvm8UNadq/zcUea+++DLL6GkxC7xCiGEEMJGEilCCHElioth9WoYNAjatoV58yArq9IQb+cKd/K8oWssjOuF2x0m0mWmvhA3PZeikPLzAl1jIde2nqfSuQPg229h2DAIDYWYGOQEIoQQQtiHJFKEEOL3SEmB114jLaA7d4/yIn3joUq7K8zIZ1wIOJedbR9+AIZOxHjLMWIXOrJ6dYNFLIRopD4yncU44iXwPQhDJ8LDD+DsYDt31Cg5mbTpH3B3y6OkD3sKvvtOWigLIYQQDUgSKUIIUVdWK6xfDyNGQFAQvP46szOeYjt3MosZWIEvgfuA1hUOi/CBF9uCjzMobLdxkXFEhUXZ5WkIIRqXqLAo4iLjCPIMKj9HvNiW8kKzZeYAmaX/ns2rbKcPs768HQYMgA4d4O9/h3PnGjh6IYQQ4uYjXXuka48Q4nLOnIGlSyE2Fo4fB8Cltk4bmLn99j7MmjWLpk3H1VggUrpvCCFqU9btqyqz2YVhwywUF+dADeceA2bMGMHFBR5+GMaPh+7dGyBiIcT1Trr2CFGzS3XtcWrgWIQQ4vqgabBrFyxcCP/+N6a2hUyLhGRPCMyGt9eGEn9kLlsZTgmuQB5Nmmzh3XcdeeyxBJRSgCRLhBD1c6kk6y+//MbUqVP57LPuwP2AKzryGE487/EipjCYNtBMsucnBC7/hJjZwUTdP92WWHF1bbDnIIQQQtzoJJEihBAVXbgAy5bZZp8cPAiAKQyiIyFfbxuS1ASeG5mOFpsDWQaUKgCMPPzwfTz+uLJf7EKIG1poaCgrV76Lg0M2K1a4AGYsGIgnhzNhGeyKhIIK56nosET4+ziipkyBP/0Jnn7atgRICCGEEFdEaqQIIQTYkibjx4OfH0yYUJ5EAZg28GISpYymB+Xly+DBJ0hI0DN+vCIjQ5IoQohrr6DAkwkTHPjPfzJo02Yzxfjy3cCLSZQy+Xrb+YvsbHj/fejYEfr1g5UroajIHqELIYQQNwRJpAghbl4FBfDPf8Idd0B4uG0WSm5u+e4SZ2f+07w5SZ61HB81inXrWnP77Q58+CHSgUcI0SBWr4YPP4Rhw4I5enQQP//cAWo5TyVX3b51KzzyCNxyC0ydComJ1zpcIYS4KeXm5qrp06f7dOrU6VZ3d/fbXFxcbvf39w8bMmRI6Pr162tdbxkbG9usa9eu7dzd3W8zGo23d+rU6dY333yzRUlJSUOGf9W98MILfkqpri+88IKfvWO5GiSRIoS4+Rw7Bn/5CwQE2Ka779pVvisNX/oadjOvfT+8CgsZfuYMZNf8MIGegQ0UsBBC1K59+/YENQmqcZ+WDVHe3pzs3p1UB3/uZgvp+MDp0/DmmxAaCkOHwldfwXX+Jl0IIRqLI0eO6Dt27NgxJiYmIC0tTd+jR48L/fv3z27WrFnxxo0bm2zcuNGjpuMeffTRwPHjx4ccPnzYtVu3brl9+vTJSUxMNEydOjVwyJAhrYqLixv6qYhaSCJFCHHzMJtty3batIG5c+Hs2Yv7dDoKhw/njyEfs72gGy8e+WN5/sRxqyNOWuWSUkadkZiBMQ0XuxBCXELMwBiMOmPljUXAJlh++jSBe/fSu+k7bKMvs1znXByjafD11xAZaZuZV2FZoxBCiPrLyclxGDx4cNvk5GTnSZMmpaWmph7ctGnT8W+++ea3Q4cO/Xzy5MkDY8aMyap63NKlS5ssW7asRfPmzS179+49/N133x3bsGHD8Z9//vlQaGhowYYNG5q8+eab3vZ4TqI6SaQIIW4OP/8MPXvauvAAOz6HLd9d/HJW2RjWxLPjxBDAEZgAaDg4FHI8/jhLRy0lyDMIhSLIM4i4yDiiwqLs+YyEEKJcVFgUcZFx5eepQI9A/tT0T3ilegH5gEby2QfRcGBh3mMoNJz1+eXnwB2fA4cPQ48etmWOmmbnZySEENenV155peXJkyedR4wYcXb+/Pmpzs7OlU6ovr6+JZ07dy6setzcuXNbAsycOTMlLCysfP8tt9xS/N577yUBvPfee77X+xKfG4UkUoQQNzZNg08+gW7d4NCh8s2WZpWHLV8eysCBJpyd8wBwcCjg3nvPkpKiJygoiKiwKBInJ2KdaSVxcqIkUYQQjU7F81TS80n848V/cPz4cZ555h0cHFYAtvObs3MeERHLWLEipPzY8nNiYaGt8PaDD8L58w3/JIQQ4jpWUFCgli9f3hxg+vTptfezr+L48eO6w4cPG3U6nfb4449Xm63yhz/8Idfb29ty5swZ3ebNm+vcz14p1VUp1RXgo48+anrbbbe1NxqNt7u6ut7eu3fvtuvWrXOr7dijR4/qx4wZExgQEBCm1+u7eHh43NazZ8+2sbGxzWo7prCwUM2YMcOnVatWHZ2dnbs0b948fPjw4SFHjx7V13ZMmc2bN7sOHTo01MfHp7NOp+vStGnT8AEDBrSuLcYDBw44jxw5MtjPzy9Mp9N1cXV1vd3f3z9s0KBBrZYuXdqkLj+fKyGJFCHEjevCBRgzBp54AvLzbdsMBtunrVV4eaXj6ppDUZEBna4EcCYkxAtf34YNWQghriZPT08++GAajzzyB8AFvd5MUZEBozGHZs0yKg8OC7v471Wr4Pbb4b//bdB4hRCiJklJ6Lp3p11yMk6XH20/27dvN54/f97J19e3qEuXLgUbNmxwnThxov/o0aODnn/+eb+NGzfWmAT573//awRo3bq12c3NrcYpgZ07d84D2Ldvn7Gm/ZcyefJkv6effjpUp9Np/fv3z/bx8SnavXu3e2RkZNuaYtq8ebNrt27dOphMphYAgwcPPt+pU6e8H374wW38+PEhI0aMCLZarZWOKSkpYciQIa1mz54dkJKS4tyrV6+cnj17Xti5c6d7z549b01MTKw1mTJz5kyfiIiI9t98803TFi1aWCIiIs4HBQUVbt261fO+++5rN2/evOYVx+/Zs8elT58+HeLj470MBoN1wIAB2X379s1u0aKFZfv27R5LlixpUd+fUX016l9EIYT43X74AR56CI4dwxRmawGa7Al+zu747I5jXrvqh5w7582wYbG8/vozxMVBWlrDhy2EENdCfr4HEybA7bf34quvosnKqp4lfja6N19knOCkYy6B2RCzKZGoO++E//s/mDIFHOTzNyGEfUybRsuEBNymTsVv2TKS7R1Pbfbv3+8CEBwcXDhq1Kjg1atXe1XcP3/+/Jb33HPPuVWrVp2omDD57bffnAH8/f1r7U0fEBBQBHDixAnn+sa1dOlS7y1btvzct2/ffLAlPcYQe0jGAAAgAElEQVSMGRO0cuXK5jNmzPCLiIj4tWxsfn6+ioqKCr1w4YLjE088cXrRokUnnZxsaYO9e/ca7r333nZr1qzxmjdvXu5f/vKXM2XHvfXWW97fffedp7e3t2XTpk2/dOrUqbDs8UaOHBkSHx/vRQ1WrVrlMWvWrIAWLVpYVq5ceXzAgAF5ZfvWr1/vOmrUqDYvv/xy4KBBgy6ULYl6++23ffLy8hxefvnllDfffLPSzJ/s7GyHvXv3utT3Z1Rf9b4iKqVGK6W2KaWylVK5Sql9SqlnlFJ1fiylVD+llFbHr8Aqxy69zPgj9X1OQogbiKbBe+9B797lSZToSEhqApqClKJMfvD7gY0Z1Q+dNesBJk+eSHg40s5YCHFDKWuZ3Lr1QSZPnsisWQ9U2r8xAz5IiyPZKRdN2c6Z0ZFgurUYXnoJ/vAHW6cfIYRoQM7OdFGKriYTLTQNTCZaKEVXZ2e62Du2mmRlZTkB7N271y0+Pt4rOjo648cff/wxMzNz/7Jly455e3tb1q1b13Ts2LGVWq3l5uY6ABiNRmtNjwvg5uZmLR3rWN+4XnrppZSyJAqAo6Mjc+fOTQFISEhwLywsVGX7Pvnkk6bp6el6Pz+/ogULFpwqS6IAdO/eveCll15KBfjggw8qZeRjY2O9AaZNm5ZSlkQpfU7akiVLkg0GQ43PbdasWX6lj5dYMYkCMHjw4Lznn38+rbi4WL3//vvls0wyMzOdACIjI6v11vT09LRGRETkVd1+tdUrkaKU+hAwAd2AbcAGoC3wAbBKKVXX/9R04B+X+Pq5dNxx4GQtj7GjlmPj6/OchBA3kKwsGDECJk2CoiLS8OXJrC3kF/pUHqeHxSfsE6IQQjRGi08AVSZd5xfazqHp+MDatXDbbbB5s13iE0LcnI4e5VBkJFkGA1YAgwHrsGFk/forjbLFWNlyl5KSEvXggw+eWbRo0amOHTsWNm/evCQqKir73//+9zGlFKtXr/b66aefys+6WmmBb6VUzQ98hUaNGlUt4eDv71/s4eFRUlRUpDIyMsr/jv/+++/dAUaOHJlVtVAuwLPPPntGKUVycrLziRMndGCr8XLq1ClnBwcHoqOjq9V48ff3L+7Tp09O1e1paWlOP/74o6ubm1vJyJEjq+0HGDhw4AWAffv2lddK6dq1ax7A+PHjg+Lj4z3MZvO1+cFdQp2X9iilRmFrY5EO3KVp2q+l232A74ARwETg75d7LE3TjgCPX+J7HS7958eaVmvZ+MWapi2ta/xCiBvc9u0wejScvJh7ndn0XQpT74StM2DoM5WGn65WK91Gp/OpeYcQQtwAdDofLJbqU/JqPCdufZXC1DuZxQwW8IxtvWNEBEyfDjNmgJOsEBdCXFtBQVjc3SkpLMRBr0crLMTB3Z2SwECK7R1bTdzd3ctnXfz5z3/OrLr/rrvuyu/QoUP+4cOHjevXr3fv0KHD2YrH5eXl1TrRoWzWipubW73b9rRu3brGJUNubm4lOTk5jmazufz7pqWl6QFCQkJqfLdsNBq1Fi1aWE6fPq1LTEzUhYSEWMrqn7Ro0cJiMBhq/Ps9MDCwWgxHjx7Va5pGbm6uo06n63qp51A22wfgtddey9i1a5f7rl273EeOHNlGr9dr7du3z7/jjjsujB07NqtHjx7mSz3W1VCfK+Arpbd/LUuiAGialqGUGg9sAV5WSr2vaVqtU5IuRynVG+gAlGCbYSKEELUrKYG33oKZM23/BlzIpwAXOFc6Zt8E25eTGabb6nMFegbRr1+ifWIWQgg76dOn5iYSgfuDScpOst15Ix+KLy4vX8gEFjIBA2bMmhFmz4YtW2D5cggIaICohRA3s8xMdFFRZE6YQOaCBbTIyEBn75hqUzH50K5duxqTF4GBgYWHDx82pqen66oel5KSUmtB1rJ9wcHBtXwcWDtHx7qvBqrL7Jja5zrUT3FxsQJbQmfw4MGXbBXn5eVVnjxzd3e37ty58+jmzZtdv/76a4/du3e77d+/3+3gwYOusbGxvlOmTEmdO3fuNa12WKdEilIqAOgKFAH/rrpf07StSqkUwB/oBey8gpieKL1dq2layhU8jhDiRpeebuvKs2lT+aYiNzdG6LuzIusVYDjgCk55cGs8DH4RAKPOSMzAGPvELIQQjVDMwBiiv4wm35IPk0Jh3Vw4MhyKXYE8jKxho987kFp6wLZttqU+S5fC0KF2jFwIcaNbv57jZf/u3bvxFpoF6N27d3kdkoyMDCc/P79qM2fKZlaU1TwB6NmzZz7AsWPHXHJzc1VNnXsOHjzoCtCtW7f8qvuuJj8/vyK4WAC3qvz8fHXmzBkdQHBwsAUgKCioCCAzM1NXUFCgapqVkpycXC1JFBoaWgTg5OSkff7554n1jXXAgAF5ZXVVCgoKVFxcXLMXXngh6J133vF79NFHs8LDw+uddKqrutZIub309rCmabVNk9lbZWy9KaWMwEOld5dcZnh/pdQ7Sqk4pdRspdQ99Sl4K4S4zq1fD+HhlZIoh5s2pVVuLiuyDgM5gAGlClElLrh5aCj30wR5BhEXGUdUWJTdQhdCiMYmKiyKuMg4gjyDUO4ZuLpbS2elmAED+WRzZ+oPvO3ujrXsU8qzZyEyEp5/Hgqv2XtVIYS4boSEhFjK2hSvXbvWver+zMxMx8OHDxsBevbsWV4QtXXr1pYOHTrkWywWtXTp0mZVj/v666/dMjIydM2bN7cMHDjwmhZSveuuuy4AxMfHN7NYLNX2f/jhh16aphEYGFgYEhJiKYvf39+/yGq1snjx4mrxp6amOu3YscOj6vaQkBBLmzZtzOfPn3f66quvqv286sNgMGjPPffc2fDw8DxN00hISKh3m+j6qGviIaT0NukSY8qygyGXGHM5fwTcgdPAV5cZ+yfgeeApYDqwFjiklAq7gu8vhGjsLBZ4+WW4557yDhJW4C1HR8LPneNU6TCd7hb69fuFhAQd48c7MMj7UawzrSROTpQkihBC1CAqLIrEyYlYZ1oZ7PsoEyY4sGpVCi1bfgH4YAVeunCBuzWNTOcKH1TOnw99+sCxY/YKXQghGo2//vWvaQBz587127lzZ/k6yfz8fDV27Nig3Nxcx44dO+ZXTYi8+OKL6QCvv/66/48//lh+kk1JSXGaNGlSEMBzzz2XXp9lOr/H2LFjz/n6+halpKToJ06cGFBScrEkS0JCgmHOnDn+ABMnTqy0VjQ6OjoDICYmxq9iIV2z2azGjRsXWFBQUGPuYcaMGakATz75ZMjq1aurJVsKCgqUyWTy3Lhxo2vZtrfeeqvFgQMHqs2Y+emnn/THjh1zgdprvFwtda2RUlYh91LZr9zS2yvJJJUt6/lU07Tq6S+b/UACsAlbYscD6ALEAOHARqVUF1kWJMQNKCkJHnkEdu0q33Ta0ZFHSkrYXHqSV0oRHR1NTExvvLxs7eo//NAu0QohxHXrYvv31owc2Yrly5fz4ou+pKensx1oX1jIUqWILFsnn5AAXbrAokW287QQQtykRo8enb1169aMuLg4n379+t3auXPnvKZNmxYfOHDANTMzU+ft7W1ZsWLFbw4OlfMKY8eOPbdp06ZMk8nUolu3bh3vuOOOHCcnJ23Xrl3uubm5jhEREedfeeWVa96H3mg0asuWLfttxIgRbeLi4ny+/fbbJuHh4Xnnzp1z2rNnj7vFYlHDhw8/O2XKlDMVj5s6derpTZs2eXz//feeXbp06dSrV68cV1dX6969e92KioocRowYcTY+Pt6r6vcbM2bM+WPHjp164403AkaNGtUmKCioMDQ0tECv11tTU1P1J06cMOTm5jrOmTMnuayt8dKlS1u88sorgQEBAYVt27Y1u7q6WjMzM3UJCQluFotFDR06NKt///7XdAlUXWeklFWauTpVZWr6Bkq1Bu4qvftxbeM0TZuvadr7mqb9pGlanqZpaZqmfQ30AHYD3lwsjFvT94lWSu1TSu3LzKxWSFkI0VitXm1bj18hibIOCCspoawZZ/fu3dmzZw+xsbHlSRQhhBBXRilFVFQUR44cYfLkyTg6OpIFDNM0JmEroAfAhQu27mnjxkH+NX3/KoQQjdqiRYtO/eMf/zjepUuX3KNHj7ps3brV08XFxTpu3LiM//3vfz+FhYXVOFti2bJlyQsXLjzRoUOH/D179rhv27bNIzAwsPD//u//kteuXXvcqYG6pQ0cODBv3759P40ePTqzpKRErVu3rumBAwdcw8PD8xYsWHDi888/T6yaCHJycmL9+vXHp06dmuLn51e4c+dOj127drn37Nnzwu7du38KDg6usfgu2LrwbNu27acHH3zwjNVqZefOnR7btm3zzMnJcerRo8eFefPmJT322GPlbZVnzpyZ8sgjj2S6ublZf/jhB7e1a9c2TUxMdO7evfuFJUuW/LZmzZoT1/DHA4CqS8VdpdRz2Noar9E0bUQtY/4OPAfM0zTtxXoHotT/YUuA7NI07Y76Hl/6GMOA/wAnNE0Lvdz4bt26afv27fs930oI0VAKCjBNG8Y06waSHHxx/mwlb7s/xKkjGbyNLbvbrFkz3nrrLZ588kmqntSFEEJcXYcOHeKZZ55h27ZtgG1a8GdAa+CD9r68eGElhQ8/RJC3AzFD3pbllEI0ckqpBE3TutVl7IEDBxLDw8PPXH6kENe/AwcONA8PDw+uaV9d/+JILL0NusSYW6qMrTOllCO2midw+SKzl3Kk9Nb/Ch5DCNFY/PILpgfaEm3YQFIT4PtXKUy9k+eMM/hbGFC6jOfo0aM89dRTkkQRQogGEBYWxtatW/nnP/+Jj48PP2BLpjwTBpONtvM0W2eQZE4jOv4JTAdN9g5ZCCGEuKrqOiPlFmzFZIuAJjV17lFKnQQCgDs1TdtRryCUug/4GlsNFl9N03Ivc0htj9MbW+vlLE3TLjuvX2akCNF47djkicUxh4d3Q8ar+aXdIyrT660UFkryRAgh7CU7O5tXX32V99+fA1Q/T+Nkxme2kZW9QKfzoU+f9OpjhBB2JTNShKjZFc9I0TTtJPADoMfWWacSpdTd2JIo6cCuqvvr4MnS289+bxKl1IOlt3svOUoI0Xjl5sJjj2FxzAHgdCEwKRQ6mcCptN61Ux6ELSMpSZIoQghhT56enrz33nt88cXhGs/TTAqxnccBiyXDfoEKIYQQV1F9/gp5s/R2TmlhWACUUt7AgtK7b2maZq2w702l1BGl1JvUQinVHBhaeveSy3qUUrcppYaWLgWquN1JKfUCthotAO/W6RkJIRqXAwegWzf49NPyTd7OgHs6OOdAiQGczFBiwM1Dw9fXfqEKIYS4KDKyG24e1krnaZxzwD3Ddh4v8847UIfZ0EIIIURjVudEiqZpq4CFgC9wSCn1pVJqNfAr0AFYA3xQ5bCWQLvS29o8im2myxFN03ZeJoxg4EvgtFJql1Lq30qptdjaIM8rHfNXTdPW1fV5CSEaAU2z9Sju2RN++aXSrnEh4OwA5HlD11gY1wvHHotpb7jbPrEKIYSoUXuXu3HssRjG9bKdr3N9cHawncfLTZkCkZFwRlYGCCGEuH7Vq3+SpmkTlFLbgWeAuwFHbAVePwYWVpyNUg9jS29rbXlcwQFs3YN6YCt8ezu2ph2ngE+ADzVNS/gdMQgh7OXcOXjySYiPL99UcX1fhI/tdvFjD3C60DZDZd4EN6LCAhs2TiGEEJe0d2MgpkNuTPn6IKd9J+LtbEuilJ3Hy339NYSHw/LlcLckxYUQQlx/6t2IWtO05cDyOo59HHj8MmM61+N7nwAm13W8EKKR27UL7eGHUcnJ5Zv2Aw8BiyoMi/Cp/Ea8n7TSFEKIRikqLAr/s2MuPzA1FW3AANSMGTB9Ojg6Xv4YIYQQopGQSo1CiIZntZI29X3uvsNCRnJh+eb3gV5A78cew8mpRY2H6nRVP9oUQgjRmNR2nj53TvEHoGxRj7JaSXstlru9DpG+X7r5CHG9qEvXVyGud5f7Pa/3jBQhhLgiGRlojz7K7A3D2U4fZjGDGJ7hCWB/cDBfLFrE4MGD7R2lEEKI36m2FscZGRmsfPA5wv/1L0xAP2A2r7I9O4zXei0lNt4PhgxpyFCFEPWklMotLi521Ol0JfaORYhrqaSkxFEplV/bfnUzZxS7deum7du3z95hCHHz2LQJl4g+FGCotsvR0cL584W4ubnZITAhhBAN5YsvvuD++wdDDdcCg6MFc74Gen3DBybETUoplaBpWre6jD1w4MDCgICACC8vr+xrHZcQ9pSdne2WlJS0v3Pnzg/XtF+W9gghrinTIRPB7wbh8Joi6KsI3m4fwmhMGMkDQCkz99yTyalTOkmiCCHETWDYsGEcOVJE69b/xaH0WmAkjyiWMbfNLQS96obD6w4Ezw/GdMhk52iFEBUVFxf/OzMzUxUXF8vfkeKGpWkaWVlZeovF8k1tY+QFIIS4ZkyHTET/5ymScpLRFCQ3gb+OTCe5WQ75GHBysqCUgdDQFvj62jtaIYQQDaVdOw8iInqiKSOKAswYSG+Ww0sjM0g2WtDQSMpOIvrLaEmmCNG4fGc2mxcfO3bM4+zZs00sFovTzbzCQdxYNE3DbDbrT5486ZWTk3MQWFnbWKmRIoS4ZqZ9+Tz5JeZK2/L1sLOZLw8MOMv06d7ExUFamp0CFEIIYTcZGTB+vGLMGCtPjdvG1kIfiqus6Mm35DNt4ytESbc2IRqFrl27agkJCXPy8vL2FBYW/lEp1VfTtCb2jkuIq0RTSp0pKSlZbLVaP+3atWtRbQOlRorUSBHi6issxPzss7j6fYSmqu9WKKwzrQ0flxBCiEbL4XUHNKq/L1UaWB88DB062CEqIW589amRIoSwkaU9Qoir69dfye7YEZePPiKwljJkgZ6BDRuTEEKIRq+2a0NgNhSFh1MUGws38QeAQgghGg9JpAghroq0NOjbLo3EDgPwPH4cgJhN4FxlQpxRZyRmYIwdIhRCCNGYxQyMwagzVtrmUmS7luiLi9GPH8/ZIUNIO3qBu++G9Jq7LAshhBDXnCRShBBXLi+PV3p9zc6j3vyt+BUACoGfEt15ps0LBHkGoVAEeQYRFxkna92FEEJUExUWRVxkXPk1w9/Nnzt+acvthy6O8Vq3jmmd/8X2bRqzZtkvViGEEDc3qZEiNVKEqLcdO3yxWDIAuOeefIqKXKqNcXQoJD3jAs2bN2/o8IQQQtwgNE3jkw8+wOGFFxhfnEMB1a83er2ZdeuM6HQ+9Okj01SEqC+pkSJE/cmMFCFEvZUlUQCWLw9l4EATzs55AOjJo0/PY5w8pZckihBCiCuilOKJZ5+l75EjTGg1mD9y8Xrj7JxHRMQyVqwIASpfm4QQQohrSRIpQogr4uWVjqtrDkVFBvR6MxZlpHOX1rRsWUO7HiGEEOJ3aNWqFX/7ZQsZt4WWX2+KigwYjTk0ayYJFCGEEA3Lyd4BCCGuLxlffAEelbedO+fNsGGxDB0ax//+d4C0NPvEJoQQ4sbl6OiIV0hvhgV9yNChcXz1VTRZWb6VB5WUgKOjfQIUQghx05AaKVIjRYi6sVr5cexY2n36KTu+q31Yv3437zlFCCHEtbdlS+0zHn2i/Aj6/nuMrVo1YERCXN+kRooQ9SdLe4QQl2Q6ZCJwbgAOsxwZ2uxT/hVm74iEEEKImt2amso/R7bBf7YXDq87EDw/GNMhk73DEkIIcYORRIoQolamQyaein+Ck3kpaAqSmkB0JGw8XvN4nc6nYQMUQghx06ntWqPLAlMYvDBUI9WahYZGUnYS0V9GSzJFCCHEVSU1UoQQ1aSlwcMPWfn5tmmYvYoq7cvXwz/OB/BGv5N2ik4IIcTNrKYWx5qmse6vf+XlgW+Tr6+8Lz/LgydHtGbgdvD1rXaoEEIIUW8yI0UIUc30yWfZtk0jc9dLNe5PyU1p4IiEEEKI2imluPdvfyOlSQ31U7a+SuFv3Zg1q+HjEkIIcWOSYrNSbFaIci4uUFBQww4nM0w3lt8N8gwicXJig8UlhBBC1EXw/GCSspNsd97Ih2KXamMMBjCbGzgwIRoxKTYrRP3JjBQhBACWvDxWtr+P0ZgwkgeAXuXh0MkEk0LKxxl1RmIGxtgrTCGEEKJWMQNjMOpKE/+TQqGTCZxs1zQjeUQ6rmTb0q12jFAIIcSNQBIpQghObd3KMR8f7t//LR7kUIABZ8xYcKF/h+4EBRhQKII8g4iLjCMqLMreIQshhBDVRIVFERcZR5BnEMo9A1e3ElSxAQNmCjAQUJJF+4f7sfPPf7Z3qEIIIa5jsrRHlvaIm9zOSZPo9N57eJTeH8kqlPN5JpjuZvXm1qSlwerVdg1RCCGE+F1GjgRfHyudj77I/za3IhNfVvMAADtCQ+m8fTvuLVvaOUoh7EuW9ghRf5JIkUSKuEnlZWaScOed3HX0aPm2ImDb0KH0X7MGB0dH+wUnhBBCXGU/mky4jB1LK4ulfNsJnY78Tz6hY5TMtBQ3L0mkCFF/srRHiJvQsf/8h9SAgEpJlEQnJ45+8gkDv/xSkihCCCFuOJ2iovBOTmZbq1bl20IsFlqPGcOWBx5As1rtGJ0QQojriSRShLiZaBq7nngCv+HDaVNUVL55V1AQzU6coNPjj9svNiGEEOIac/f1pe+xY+x4+mlyS7c5A/0+/5w9gYHkJCXZMzwhhBDXCUmkCHETSEuDvr2L+Da4F70/+YSyRsb5wM6xY+l94gQeAQH2DFEIIYRoMH0WLiRrwwZ+cbnYHrlnSgoXWrdmx9//xd13Q3q6HQMUQgjRqEkiRYgbmOmQieD5wfgNW8D23Y7My32sfN+vej2pa9Zwx8cfg1J2jFIIIYRoeIEREQSlprIlLKx8m39xMTNmneH7bSW0jFxA8PxgTIdMdoxSCCFEYyTFZqXYrLgB7djhy7enMogZkw/FLtX261UBZ9NzcPP2tkN0QgghROOy7YUXGPRuDIVUv2biZGbaMiMRPqDT+dCnj0xVETcWKTYrRP3JjBQhbkAWSwaLTwCTQqGTCZzybDuc8nDutJLEFGdJogghhBCl+r7zDps/24ehXeVrJmHLYFKI7ZqK7foqhBBCSCJFiBvU6ULAPR2cc6DEAE5mKDFQaMiiZUtZyiOEEEJUdMeDfSlwq3zNxDkH3DNs11QhhBCilCRShLiRlJRwdMwYALydS7fleUPXWBjXC7rG4lIYar/4hBBCiEbMpSik0jWTXB+gwjVVCCGEQBIpQtwwipOT+S00lLYmW1G8cSHg7AA8/AAMnQi+B3EeNpGPTGftG6gQQgjRSH1kOotxxEvge9B27Xz4AZwdbNfUMhmLFtkvQCGEEI2CJFKEuAFkmUzktm5NaHJy+bYIH3ixLfg4g8J2+2JbiAqLsl+gQgghRCMWFRZFXGRctWtnhM/FMT5PP81vQ4dCoaz3EUKIm5WTvQMQQlyBoiKSH32UwH/9q3yTFSjJdsTRs4QIn8pv/nQ6n+qPIYQQQohyUWFRBOdMqbGwrC7Ldhv69decCgzEZ/NmdB07NnCEQggh7E0SKUJcp6zHj5PWrx+Bp06Vb0sFNjz+OGOGLsbR0dF+wQkhhBDXsZpaHO9bv54zY4YDZgACTp8mv3NnLrz7Ls2ee66BIxRCCGFPsrRHiOtMWhrc2T6dE+3uxr9CEmWjXs+xVat47JNPJIkihBBCXGXdBg+me3IyCzt0oGxRj9FqpdmkSRzoP5q77ywhvXr+RQghxA1IEilCXE/MZqb1Xc+uX1owr2QqABZgQUgIHY4f565Ro+wbnxBCCHED82renD8fOsTyZ5/laIXti7bcyfYd8PpzZ+wWmxBCiIajNE2zdwx2061bN23fvn32DkOIOnExWCkorJ77dHIowlzogJOTrNQTQgghGsq2b75h4B/6Y8Gl2j6DQcNsVnaISoj6U0olaJrWzd5xCHE9kRkpQjR2moZ1yRKOlAQzGhNG8gDQk0ffnsc4maKXJIoQQgjRwPredx8795ylk+t/cCm9NhvJI4plHL5jDJw/b+cIhRBCXCv1TqQopUYrpbYppbKVUrlKqX1KqWeUUvV6LKXUUqWUdomvIw0RhxCNmWnPEoKmu+J0chx3TzxJerMcCjDgRAEWZaRTl9b4+to7SiGEEOLm1K17AL0e+QMFuKDHTAEGPMhhV+ZyAt/wwuF1B4LnB2M6ZLJ3qEIIIa6ien2MrZT6EJgAFACbsJVnGAh8AAxUSv1R07SSesawAzhWw/a0Bo5DiEbF9EUM0XteJV9vW36X1ARONvemZZOVrFgaycqVBtJqfZUIIYQQoiGcPevE0+M1WnisYcucc+z18OEfkZCvtwKQlJ1E9JfRgK21shBCiOtfnWukKKVGAauAdOAuTdN+Ld3uA3wH3ApM1jTt73V8vKXAY8BYTdOW1jngqxiH1EgRjZKmwfvvE3RiEslNqu8O9AwkaXJSw8clhBBCiEvatWsXg1b1Ic+j+vvrILcAEqectENUQlya1EgRov7qswzmldLbv5YlLwA0TcsAxpfefbkBltY0ljiEuPqysrDefz9MmsRJz5qHnMyWN2FCCCFEY9S7d2/yPWrel3zhFGze3LABCSGEuCbqlGxQSgUAXYEi4N9V92uathVIAXyBXlczwMYYhxDXxPbtlHTujMOXXwIQmF3zsEDPwAYMSgghhBD1Udt1OjAbtIgImDEDiosbOCohhBBXU11nbdxeentY0zRzLWP2VhlbV/2VUu8opeKUUrOVUvdcYjbJtYxDCPsoKYGYGLR+/XBMSSnf3HcTOJY4Vhpq1BmJGRjT0BEKIYQQoo5iBsZg1BkrbXMpgphNoDQNZs9GGzAATp2yU4RCCCGuVF0TKSGlt5cqzJBcZWxd/Ql4HngKmA6sBQ4ppcIaOA4hGl56Omn9HuHu6XeSUdIcgCzgfuDWh2NYOmopQZ5BKBRBnkHERcZJoeHKqYMAACAASURBVDohhBCiEYsKiyIuMq78+u3r4ovvtia0PHRxTPq2X7krJIn0f26wX6BCCCF+t7p27XErvc27xJjc0lv3Oj7mfiABW9edJMAD6ALEAOHARqVUF03TUiocc8VxKKWigWiAwEBZIiEa3o4dvlgsGeX33232IdvUnYwfPIMX1j3DBE9P3l65knvvvReAMeFj7BWqEEIIIX6HqLCoSh98ZI7NZPRDD7H5u+94HZhwz6tsX9+LP69axPO3DC4fp9P50KdPuh0iFkIIUR91TaSo0tu6tfipA03T5lfZlAd8rZTaAGzFVuPkFWDi1YxD07Q4IA5sXXt+7+MI8XuVJVHuuSefoiKX8u1r1k1gDRNwLrBy771SK1kIIYS4UbRo0YJv16/HYNCIKdHBOtv2L76YwBdfTECvN7NunbHSBy1CCCEar7r+tXah9NbtEmPK9l24xJjL0jStCHiz9O599opDiGsi6eKqtOXLQxk40ISzs22ClbNzHg89ZCExUZIoQgghxI3GycmJkyd19OmTVOnaHxGxjBUrZEW6EEJcT+r6F1ti6W3QJcbcUmXslThSeutv5ziEuHpWr4bbbiu/6+WVjqtrDkVFBvR6M0VFBpo10+Hra8cYhRBCCHHNtGwJYWFBla79RmMOzZpVmIkybhzk59svSCGEEJdV10TK/0pvOyqlXGoZ073K2CvhVXqbW2V7Q8chxJUrKICJE2HUKDh/vtKuc+e8GTYslg8/7MWwYbGky7JoIYQQ4oaWkUGla/+5cz6VByxZAt27w48/2idAIYQQl6U0rW5lQpRSCdiKwT6madqnVfbdDWwB0gF/TdOsVxSUUu8Ck4F1mqbde63i6Natm7Zv374rCVWIS/vlF3joIThwoHzTlu9qH96vn5TtEUIIIW50W7aoWvf161/6D4MB3nvPNkNF1T5eiCullErQNK2bveMQ4npSn2IMZXVL5iilWpdtVEp5AwtK775VMXmhlHpTKXVEKfVmhcdBKXWbUmqoUsqxynYnpdQLwHOlm969GnEIYQ+mD58meNGtOAw/QPBkMIXB58C5rJrH63Q+Ne8QQgghxA2ltmu+OQvysb1nCH66AIeUaIKnu2H67+KGDVAIIcQl1bVrD5qmrVJKLQTGA4eUUhsBCzAQW+viNcAHVQ5rCbQrva0oGIgHspRSR4FT2NoVhwF+gBX4q6Zp665SHEI0nNxcTC8NIbrpdvI9bZuSmsDjkVAMTNk5hTlz5uDo6HjJhxFCCCHEjammFsdbt27l0ehROIedJSsSCvS27Un6fKK/ioa0NKKGv9rAkQohhKhJnZf2lB+g1GjgGWxJD0dshWE/BhZWnQWilFoKPAb8Q9O0xytsDwEmAT2wFY71wtbS+BSwDfhQ07SEqxVHbWRpj7jq9u+Hhx4i+L6jJDWpvtvL0Ysz0880fFxCCCGEaPROnDhBu4XtsLhaqu0LOg+Jt8yDyZPBQTr8iatHlvYIUX/1TqTcSCSRIq4aTYMFC2DKFNIKm+IXtBIeeAjcMyoNUyisM2XVmRBCCCFq5vC6Axo1vD/P8eWud1by2cCP8F05n/9v787jo6zuPY5/ftkTNmUNhRLg0lorUBe0bAIKFlChgoDa2KotstheqSjuIqIU24stallVai2xWnG5greirIaAlkVtKlWsQlCEiAIBQkhCcu4fM0TIxkwyM08y+b5fr3kd5jzPnPyG83qSM785zzm0bBn54CQqKZEiEjyls0Vqa/9+3448v/oVFBbyIPdBTl9YO7XCqR2adfAgQBEREakvqhorNH7zPtbRl+kre8MPfgBr10Y4MhEROU4zUjQjRWpjwwa4+mrYuZNkjnCUSnbljiuAe1NIiU9h4bCFpHdLj3ycIiIiUi9kZGcwbuk4jhQf8VU8dASOVRxfJFFAwbTfwb33gtZdk1rQjBSR4GlGikhNFRbCmDGwcycAn9KZ88gA8gGIjS8k5byXYVJn0pqlKYkiIiIip5TeLZ2FwxaS1iwNw2h1R0/iW73A8fFFMvmks5jtdIJp02DZMk/jFRFpiALetUdEyklMxC1aBIMHc8A5bmIPmzkIJBEfX0JJSSLXXTCCubNGeB2piIiI1CPp3dJP+vLlus/yeeaZZKCAApI4xEFSyaXgiitIHj7cu0BFRBoozUgRqaHCwkJ+9swzjHWOs/Htu52c3ImrrtrPxo2xTJgAeyrubigiIiISlEOHGjF+fCnDh88E5vMqbbgFOG/jRv6Zne11eCIiDY7WSNEaKVIDe/fuZcSIEWRlZZXV9e/fnyVLltBSq+iLiIhIGDjnmD17Nrfddhulpb5dABs3bsxzzz3HZZdd5nF0Ul9pjRSR4GlGikiQ/v3vf9OzZ8+Tkig33ngjb7zxhpIoIiIiEjZmxi233MJrr71GkyZNADh8+DDDhw/nscceoyF/QSoiEklKpIgEYcWKFfTq1YtPP/0U8A1oHnnkERYsWEBCQoLH0YmIiEhDMGTIENavX09aWhoApaWlTJo0iV/96lccO3bM4+hERKKfEikiAVqwYAFDhgwhLy8PgJSUFF555RUmT56MmXkcnYiIiDQkXbt25Z133qFnz55ldXPnzuXyyy8vG6uIiEh4KJEicgolJSVMnjyZCRMmUFJSAkC7du1Yt24dw7VSvoiIiHikTZs2rFq1iquuuqqsbvny5fTu3Zvt27d7GJmISHRTIkWkEhnZGXSc3RG77VvEd1rPH/7+bNmxc889l3feeYdzzjnHwwhFREREIDk5mWeffZb77ruvrG7r1q10G/MjEjpvwG5rS8fZHcnIzvAwShGR6KJEisgJsrJSufd54xevXEtOXg6svRf3eW9iGk+FbnDFFVfw1ltv0a5dO69DFREREQEgJiaG6dOn85e//MW3Zls3KOAWindcAGvvIycvh1+8ci33Pm9kZaV6Ha6ISL2n7Y+1/bGcYM0a4+q3Ife+I3AsucLxpCRHQYHWQxEREZG6KTGxlKKiSr4rjSugzYMpPNcTBgxouON/qUjbH4sETzNSRMr5shCY1Bm6ZkBcvq8yLh+6LWb7diVRREREpO7asSOm0jEMkzr5xjgiIlJrSqSI+B2fndU6EWiyBxIPQkkSxBVASRKNmzpSNRtWRERE6rC2baFxU3fSGIbEg9Ak1zfGERGRWlMiRQQoKipi7NixAIztBIkxQH5rOG8+jO1JTI/5fC+pv7dBioiIiATge8n9iOnhG8Nw3nw43IbEGN8YB3yL0YqISM1pjRStkdLg7du3j1GjRrF69WpWr/bVrciFJ7f7bvNpnegbeDx0VcO9VkRERKR+ufd5qzCWGdTGd+zHP27KkiVLuOSSS7wNUuoErZEiErw4rwMQ8dInn3zCpZdeyrZt2wDYtw+aN/cNNI4PNgDi49tU0YKIiIhI3TO0fRsGtcmtUL9vHxw8eJChQ4cyd+5cxo0b50F0IiL1mxIp0mC9/fbbDB8+nL1795bVbds2kzvuuAMzLSorIiIi9VefPnsq1L333nv89KfDgM8pKSlh/Pjx7Nixg4ceeoiYGN3xLyISKP3GlAbp5Zdf5qKLLipLoiQlJfHCCy9w5513KokiIiIiUenss8/mH//4B+eee25Z3cyZM0lPT6ewUFv6iIgESokUaVB274YuXT5n5MibOHr0KAAtW7Zk1apVjBo1yuPoRERERMKrbdu2rF27lssuu6ys7rnnnuOSSy5h69b99O8PeypOZhERkRMokSINRklJCYMHr+OTT9oC9wHQpUsXNmzYQK9evbwNTkRERCRCGjduzCuvvMLEiRPL6jIzM+nd++9kZjqmT/cwOBGRekC79mjXngYhKclRWFjxlp3ERMfRo7qVR0RERBoe5xyzZs3i9tt/BSRXOJ6UBAUFkY9LIku79ogETzNSJOrl5ubyve9dCmQA+QDExhZy9dXH2LFDSRQRERFpmMyMKVOmsGDBCmJi/srxcRIcoV+/z9i+3cvoRETqLiVSJCplZGfQcXZHYh6Iod2sdrxf+jpwEEgiNrYY5xI4/fQ4UlO9jlRERETEW+PGDWPYsAFAElAAJPLWv5by/YXNiXkgho6zO5KRneFtkCIidYgSKRJ1MrIzGLd0HDl5OTgcJY1LYBjQtDX9+v2bzZvjmTDBtJCaiIiIiF9MTFt+8pNDtG8/GprPh5Zt2O/243Dk5OUwbuk4JVNERPy0RorWSIk6HWd3JCcvp0J9q4RWfHnXlx5EJCIiIlI/7N27l/aPtKcouajCsbRmaez49Y7IByVhpTVSRIKnGSkSVZxzlSZRAL4q+irC0YiIiIjUL61ataI4ubjSYzvzdkY4GhGRukmJFIkaxcXFjBs3Dg5UfrxDsw6RDUhERESkHqpqzBRzOIaPPvoowtGIiNQ9SqRIVDh48CDDhg3jySefhJVAudmoKfEpzBg4w5PYREREROqTGQNnkBKfcnJlEZQsL6FXr15kZmZ6E5iISB2hRIrUe7t27eLCCy9k+fLlvops6Lu/Lx2adsAw0pqlsXDYQtK7pXsbqIiIiEg9kN4tnYXDFpLWLA3DaBXfivjl8ZAN+/fvZ9CgQTz33HNehyki4hktNqvFZuut3bth2LB8du/uxxdfbCmrv//++7n//vsxMw+jExEREYkemzZt4vLLLyc3N7esburUeaxZM57nnzdSUz0MTmpFi82KBE8zUqReycpKZc0aY80aY8KEuWzZkkSPHr/gxRchLi6OP/3pT0ybNk1JFBEREZEQ6tGjB2+//TZnnnlmWd0775SSmVnK+PFzy8Zna9YYWVnKqohIdNOMFM1IqVfWrDEGDz5CUVFyhWMJCSUUFsZ6EJWIiIhIw7Bv3z5atmyEc4kVjiUkFLB8uW9tlQEDGu5njPpGM1JEgqcZKVLvPPtsZwYOzCAxMR+AxMR8Bg1aTE6OkigiIiIi4dS8eXM++cTx7W9nVhiL/fWvnTyOTkQkMpRIkXqjtLQUgBYt9tCo0UGKipJISCigqCiJlJSDujdXREREJAI6dUri0kv7VBiLNW+ee+oXi4hEASVSpF4oLCwkPf2bXXf272/N8OHzmTOnJ8OHz2f//jYeRiciIiLSsHz5ZYzGYiLSYGmNFK2RUufl5eUxYsQIVq9ezerVVZ+ne3FFREREImfNmqoX93duFRdddFEEo5Ga0hopIsHTjBSp03bt2sWFF17Ian8GZd++ys+Lj9e3ICIiIiKRVNX4a98+GDx4MM8991yEIxIRiYy4YF9gZj8BJgLdgVjgQ+BPwDznXGmAbcQD/YBLgT5AGtAC2AtsAP7onFtTxWufBq6rpvmPnHPfCyQOqZsysjO4Z+U97MzbScyhGEooKTv20Ue/4c4779T2xiIiIiIe69Nnz0nP//nPfzJ06FC++OILoJhrfnMNE7dNJM/l0aFZB2YMnEF6t/TKGxMRqUeCSqSY2RzgJuAosBIoBgYCfwQGmtlo51xJNU0c1x940//vPcBmIB/4PnAlcKWZPeicm1pNG1nAfyqp3x3Ie5G6KSM7g3FLx3Gk+AgAJU1KYBhYjPH05Kf52c9+5nGEIiIiIlKZ7t27s2HDBoYOHcrW2K0wDA64AwDk5OUwbuk4ACVTRKTeC3iNFDO7EliCL/HRzzn3sb++DbAaOBP4tXPu0QDauhhfQuZR51xmuWNXARn4Zrtc7JxbXe740/hmpNzgnHs6oOCroDVS6p6OszuSk5dTob51Qmty79JK8CIiIiJ13f79+2n727YUJhdWOJbWLI0dv94R+aCkSlojRSR4wayRcpe/vON4EgXAOZeL71YfgDvN7JRtOudWOedGlU+i+I89Dzztf3ptEPFJPbd7N+TM/jMcqni/7d6ivR5EJCIiIiLBOv300ylKLqr0WM7nRfTvD3v2VHpYRKReCCiRYmbtgfOAIuCF8sedc2uBXUAq0DMEcb3rL9uHoC2pB0pLSxk6dD3k9IW1Fe/o6tCsgwdRiYiIiEhNVDV2s5VTycx0TJ8e4YBEREIo0Bkp5/jLD5xzBVWcs7HcubXxHX9Z3XonF5nZ781soZk9aGaDA5kNI3VPcrIjNjaG99/vDcTCpptgmoOHfOukpMSnMGPgDG+DFBEREZGAzRg4g5T4lG8qHjoC0xzuvQk4Z8ybB2aQnOxdjCIiNRVo4qGTv6y4eMU3dpY7t0bMLBW43v/0xWpO/RlwC3AjcC/wOpBtZt1q8/Mlsg4dOsT551+Nb1mcfAAstoCUc1+GSZ1Ja5bGwmELtSiZiIiISD2S3i2dhcMWktYsDcNofuv5cNqzHB/vwREGDcpl+3YvoxQRqZlAd+1p7C/zqznnsL9sUtNgzCwOWAw0A1Y655ZWctp7+Hb5WYkvsdMUOBeYAfwAWGFm5zrndlXxM8YB4wA6dNDtIl7Kzc3l0ksvZcuWLcAAIInY2CKcS+K6H45g7qwRHkcoIiIiIjWV3i39pC/Dhm/9nKVLk4ACIJFVq/7Chg2tGTFCYz4RqV8CnZFi/jKwLX5qbj6+7ZQ/o4qFZp1zs51zjzvntjrn8p1zu51zrwEXAG8DrflmYdzKXr/QOdfDOdejVatWYXgLEohPPvmEPn36+JMoAK254IJ32bQpngkTTAuQiYiIiESZuLj2jBmznxYtLgfmU1raklGjRrFgwQKvQxMRCUqgM1IO+cvG1Zxz/Nihas6pkpk9CvwC3/bKA51zQX2Uds4VmdlM4H+BS2sSg0TGu+++y5AhQ/jyyy8BiImJYcGC/YwdeyUAc+Z4GZ2IiIiIhMNLLwG0ZPv2Jxk8eDAff/wxpaUwYcIE9uzZw9SpUzGzUzUjIuK5QGek7PCXadWc8+1y5wbMzB4Bbgb24kuifHyKl1TlQ3/ZroavlzBbtWoV/fv3L0uiJCUl8dJLLzF27FiPIxMRERGRSOjUqRNZWVn06NGjrG7atGlMnDiRkpISDyMTEQlMoImU49sRn2VmVa2tfX65cwNiZr8DJgNfA5c457YG8/pyWvjLw9WeJZ54/vnnGTJkCIcO+SYtnXbaabz55pv8+Mc/9jgyEREREYmkVq1asXr1an70ox+V1S1YsIAxY8Zw9OhRDyMTETm1gBIpzrnPgC1AAjC6/HEz6w+0x3dbzoZAf7iZPQxMAfbjS6K8H+hrqzDGX26s9iyJuMcff5xrrrmG4uJiANq1a0dmZiZ9+/b1ODIRERER8ULjxo1ZunQp6enfLEj70ksvMXjwYA4cOOBhZCIi1Qt0RgrATH/5WzPrcrzSzFoDc/1PH3bOlZ5wbKaZfehfu+QkZvYgcAdwAF8S5ZQzWczsbDO73Mxiy9XHmdlkfLcHAfwhiPclYeSc4+677+bmm2/GOd9axWeeeSbr16+na9euHkcnIiIiIl5KSEjgmWeeYfLkyWV1b731Fv369eOLL77wMDIRkaoFutgszrklZjYPmAhkm9kKoBjfLjtNgVeAP5Z7WVvgDH9ZxsyGA/f6n/4H+O8qFpb60Dn38AnPOwIvA/vMbBvwOb7tlrsB3wJKgTucc8sDfV8SPseOHWP8+PEsWrSorK5nz54sW7aMFi1aVPNKEREREWkoYmJieOSRR2jbti1TpkwBIDs7m969e7N8+XLOOOMMjyMUETlZwIkUAOfcTWa2Dvgl0B+IxbfA6yJg3omzUU6h+Qn/7uF/VGYtcGIi5X3gUXxbHacB5+Dbkvlz4E/AHOfc5gBjkBDLykqluDiXFbmw4P1Uvnr2OVqmv8akJ+HRsXDZZZfxt7/9jZSUFK9DFREREZE65rbbbqNNmzb8/Oc/59ixY/z+9znMXT2AeUOfo3jkVbRpmcvYTjC0fRv69Alqg08RkZCy47dbNEQ9evRwmzZt8jqMqLFmjbEiF2Ztg8JX58Dm8XDeAhKH/5If5vZjxR9WEB8f73WYIiIiIlKHvf7661x55ZXcsugIMx+ZQ+km35iSy39JYgzc9l146KqG+xkm1Mxss3Ouqi+2RaQSSqQokRIya9YYF11yBI5VsrFT3FFccVLkgxIRERGReicxsZSiokqWc4wroM2DKey5s+F+hgk1JVJEghfMYrMipzapM3TNgLh83/O4fOi2GCZ18jYuEREREak3duyIqXJM+WWht7GJiCiRIiGxfv16ANq03AOJB6EkCeIKfGXiQdLaJ3ocoYiIiIjUF23bQnKjimNKmuTSOhFKSwNdmlFEJPSUSJFae+211xg0aBAAYztBzJHWcN58GNsTzptPTH4bZgyc4XGUIiIiIlKfdChtTUyPb8aUHG5DYoxvvHn99ddTXFzsdYgi0kBpjRStkVIrf/nLX7jhhhsoKSnhxReheXNYkQtPbocvC6F1Iozv0pQHRuV5HaqIiIiI1CNZWan8/fPck8aVYzvBufFw5ZXaETJUtEaKSPCUSFEipcb+8Ic/MHny5LLnnTp14o033qBLly4eRiUiIiIi0aikpISJEyfyxBNPlNX17t2bZcuWcfrpp3sYWf2mRIpI8HRrjwTNOcddd911UhKle/fuZGVlKYkiIiIiImERGxvLggULuOeee8rq1q9fT79+/di1a5eHkYlIQ6NEigTl2LFj3HjjjTz88MNldRdeeCFr166lbdu2HkYmIiIiItHOzHjooYeYPXt2Wd2//vUv+vTpw7Zt2zyMTEQaEiVSJGBHjx5l9OjRPPXUU2V1w4YNY/ny5Zx22mkeRiYiIiIiDcmkSZNYvHgxcXFxAOTk5NC3b182b97scWQi0hAokSIB+eijg6Smfsgrr2woq7v++ut56aWXSE5O9jAyEREREWmI0tPTefXVV8vGonv37mXAgAG88MI6+veHPXs8DlBEopYSKXJKubm59OnzOnl53YCpAEyZMoVFixaVfQsgIiIiIhJpQ4cOZeXKlWWLzR4+fJirr/4XmZmO6dM9Dk5EopZ27dGuPdVKSiqlsLBivi0pCQoKPAhIRERERKScDz74gK5d/wtIqnBM49bqadcekeBpRopU6f3336dp03OADCAfgISEY6Snw/btnoYmIiIiIlLmrLPO4h//+IomTV7l+LgV8unePZtPP224XxyLSHgokSInycjOoOPsjsQ8EMM5z5zD3tR/AgeBJOLjSzh2LI6mTSE11etIRURERES+cf757Rk58hIgGSgAkvjn55mcMa8ZMQ/E0HF2RzKyMzyOUkSigRIpUiYjO4NxS8eRk5eDw+GaOhgGMae35cc/3sPGjbFMmKCFu0RERESkbjp4MJmxY49xwQWToPl8aNmGQ7GHcDhy8nIYt3SckikiUmtaI0VrpJTpOLsjOXk5FerbJrfli9u/8CAiEREREZHgFRYW0nx6c44kHKlwLK1ZGjt+vSPyQdVRWiNFJHiakSJlKkuiAOwp0BQUEREREak/EhMTKUiofIXZnXk7IxyNiEQbJVIE5xy33347HKj8eIdmHSIbkIiIiIhILVU1ho3Nj2XXrl0RjkZEookSKQ3csWPHGDt2LP/zP/8DK4Gik4+nxKcwY+AMT2ITEREREampGQNnkBKfcnJlERx7/Rh9+vRh27Zt3gQmIvWeEikN2NGjRxkzZgyLFi3yVWTDuV+cy7ebfhvDSGuWxsJhC0nvlu5toCIiIiIiQUrvls7CYQtJa5aGYbSMa4m9ZpANOTk59O3bly1btngdpojUQ1pstgEuNrt7N4wadQy4ivXrXyqrv/7663niiSeIi4vzLjgRERERkTB5/fXXGTlyJAUFvvVTmjRpwtNPL+fRR3vx/POQmupxgB7QYrMiwdOMlAYkKyuVNWuMCRPmsmGD0bLlQFavhhdfhFtvvZWnnnpKSRQRERERiVpDhgxhxYoVnHbaaQA8/fQh/vznd8nMLGH8+LmsWWOsWWNkZTXAjIqIBEwzUhrQjJTExAKKipIr1CckFHD0aBJm5kFUIiIiIiKRlZ2dTffu3wGSKhxLSChg+fIUBgxoGJ+TNCNFJHiakdKAPPtsZwYOzCAxMR+AxMR8Bg1azF//2klJFBERERFpMLp168aGDblVjo1FRKqjREoDsXHjRlq02EOjRgcpKkoiIaGAoqIkUlIO0rx5rtfhiYiIiIhEVM+eaRobi0iNKJHSAKxcuZKLL74YgP37WzN8+HzmzOnJ8OHz2b+/jcfRiYiIiIh4o7qxcUlJiYeRiUhdpjVSonyNlJdeeolrrrmGoqIiVq+u+ryGcg+oiIiIiMhxa9ZUfXv7nDmjWLx4MYmJiRGMKPK0RopI8DQjJYo9+eSTjB49mqKiIgAOHKi8u+PjNStFRERERBqeqsbB+/bBkiVLGDZsGIcPH45wVCJS12mv2yiTkZ3BPSvvIScvBw4AZwHZ8N3vfpdzznmDtLQ0r0MUEREREakT+vTZc9Lz0tJSbrnlFh577DEA3nzzTX5w7Q8o6lfErkO76NCsAzMGziC9W7oX4YpIHaFEShTJyM5g3NJxHCk+4qs4DRgGaR3TyHwyk9atW3san4iIiIhIXRYTE8Ps2bNp2bIlU6dOhW7w6VmfwiHf8Zy8HMYtHQegZIpIA6Zbe6LI3Svu/iaJclwClA4oVRJFRERERCQAZsZ9993HnDlzYCCQcPLxI8VHuGflPZ7EJiJ1gxIpUeLo0aPszNtZ6bHPD30e4WhEREREROq3m266yTfDuxJVjbtFpGFQIiUKfPzxYVJTP4IvKl8sq0OzDhGOSERERESk/ktrVvn6gi0Ku9K/P+zZU+lhEYlySqTUc1999RV9+vydvLyu8OJUKDr5eEp8CjMGzvAmOBERERGRemzGwBmkxKecXFkEXy+8icxMx/Tp3sQlIt4y55zXMXimR48ebtOmTV6HUWNJSY7CQqt4IO4odm+KVhUXEREREaml47ti7szbiXswH0qSK5yTlAQFBR4EFwJmttk518PrOETqE81Iqae2bdtGy5YXABlAPgDx8cWkp8Puz5Iovb+UHb/eoSSKiIiIiEgtpHdLZ8evd1B6fynrM3Np1Oh/OT7+LKJJIwAADy1JREFUhnzOO+9Dtm/3MkIRiTQlUuqhLVu20LdvX3bt2gQcBJKIjy+hpCSepk0hNdXrCEVEREREok+vXh0ZOXIQkAwUAEls3ryK+fOn0ZBn+os0NEqk1DNvvfUWF110EXv37gUgJuZbXH75LjZujGXCBC14JSIiIiISTocPN+IXvyiie/fxwHygDQ888ACTJk2itLTU6/BEJAK0Rko9WiNl2bJljB49mqNHjwJw2mmn8dprr9G7d2+PIxMRERERaVjy8/MZOXIkb7zxRlndtddey6JFi4iPj/cwsuBojRSR4AU9I8XMfmJmmWaWZ2aHzWyTmf3SzGo0u6Wm7YU6jrpu8eLFXHHFFWVJlNTUVNauXaskioiIiIiIBxo1asTSpUsZM2ZMWd3ixYsZOXIkBfV15VkRCUhQSQczm4NvddMeQCbwJvBd4I/AEjOLjUR7oY6jrnvsscf46U9/SklJCQCdO3cmKyuL7t27exyZiIiIiEjDlZCQwLPPPsv48ePL6pYtW8bgwYPJy8vzMDIRCaeAEylmdiVwE7AH6O6cu9w5NwL4DvBvYATwq3C3F+o46jLnHNOmTWPSpElldV27dmXdunV07tzZw8hERERERAQgNjaWefPmcffdd5fVZWZmMmDAAHJzcz2MTETCJZgZKXf5yzuccx8fr3TO5QIT/U/vDOLWmpq2F+o46qTS0lImTZrEAw88UFbXq1cv3nrrLdq2bethZCIiIiIiciIzY8aMGcyaNaus7r333uPCCy8kJyfHw8hEJBwCSjaYWXvgPKAIeKH8cefcWmAXkAr0DFd7oY6jriouLua6667j8ccfL6sbPHgwb775JqeffrqHkYmIiIiISFVuvfVWFi1aREyM72PWxx9/TJ8+fdi6davHkYlIKAU6a+Mcf/mBc66qlZM2ljs3HO2FOo46p6CggJEjR7J48eKyuquuuopXX32VRo0aeRiZiIiIiIicyg033MCSJUtISEgAYNeuXfTr14+NGzee4pUiUl8Emkjp5C+rm5e2s9y54Wgv1HHUKXl5eQwePJhly5aV1Y0fP56MjIyyX8QiIiIiIlK3jRgxgv/7v/+jcePGAHz99ddcfPHFrFy50uPIRCQUAk2kNPaX+dWcc9hfNglje6GOo065+eabyczMLHt+9913M2/ePGJjo2oTIhERERGRqDdw4EBWrVpFixYtADh8+DBXXHEFX331lceRiUhtBZpIMX/pQvRza9pereMws3FmtsnMNu3du7emzYTF7373O7p06QLArFmzmDFjBmZ2ileJiIiIiEhddP7555OZmUm7du0wM5544glatmzpdVgiUktxAZ53yF82ruac48cOVXNObdurdRzOuYXAQoAePXqEKjEUEm3atGHFihWsW7eO9PR0r8MREREREZFaOvPMM8nKymLdunVcffXVXocjIiEQaCJlh79Mq+acb5c7NxzthTqOOictLY20tOrenoiIiIiI1Cca44tEl0Bv7XnXX55lZslVnHN+uXPD0V6o4xARERERERERCVhAiRTn3GfAFiABGF3+uJn1B9oDe4AN4Wov1HGIiIiIiIiIiAQj0BkpADP95W/NrMvxSjNrDcz1P33YOVd6wrGZZvahmc2koqDbq+XrRERERERERERqJdA1UnDOLTGzecBEINvMVgDFwECgKfAK8MdyL2sLnOEvQ9FejV8nIiIiIiIiIlJbASdSAJxzN5nZOuCXQH8gFvgQWATMC3YWSE3bC3UcIiIiIiIiIiKBMOfq1A7AEdWjRw+3adMmr8MQERERERHxhJltds718DoOkfokmDVSREREREREREQaNCVSREREREREREQC1KBv7TGzvUCO13FUoiXwlddBSFiob6OX+jZ6qW+jl/o2eqlvo5f6NvTSnHOtvA5CpD5p0ImUusrMNuk+xeikvo1e6tvopb6NXurb6KW+jV7qWxGpC3Rrj4iIiIiIiIhIgJRIEREREREREREJkBIpddNCrwOQsFHfRi/1bfRS30Yv9W30Ut9GL/WtiHhOa6SIiIiIiIiIiARIM1JERERERERERAKkREqYmdlPzCzTzPLM7LCZbTKzX5pZjf7vQ92e1Fyo+sLMzjCzSWa22Mw+NLNSM3NmNipcsUv1QtG3ZhZvZgPN7BEze9vMdptZkZntMrMlZjYgjG9BqhDC6/a/zexvZvZvM/vazIrNbK+ZrTCza83MwvUepHLh/PtoZr/x/152ZnZbKOKVwIXwun36hH6s7PFhuN6DVC4M4+RkM7vdzDaa2QEzO2Jm283sBTPrE+r4RaTh0q09YWRmc4CbgKPASqAYGAg0AV4GRjvnSrxqT2oulH1hZrOBSZUcGu2cWxKaiCVQoepbMxsEvOl/ugfYDOQD3we6+usfdM5NDekbkCqF+Lr9HGgN/AvYha9v04AfAgb8LzDSOVca4rchlQjn30czOx/YgO/LJwOmOOdmhSJuObUQX7dPA9cBWcB/Kjllt3PurhCELQEIwzi5E/AG0AX4EngbKAQ6AmcD051zD4XwLYhIQ+ac0yMMD+BKwAG7ge+cUN8G2Oo/Nsmr9vSoU307FvgdMAb4L2CNv41RXr/XhvYIZd8CFwNLgAsrOXYVcMzf3kVev++G8AjDddsXaFRJ/Vn4EmcOuMHr990QHuH8+wgkAh/gS5a97G/rNq/fc0N5hOG6fdr/muu9fm8N/RGGvm2ELznmgOlAfLnjLYDvev2+9dBDj+h56HaQ8Dn+jcYdzrmPj1c653KBif6ndwYxdTHU7UnNhbQvnHNPOudud879zTn3SYhjleCErG+dc6ucc6Occ5mVHHse34Ae4NrahSwBCvV1u845l19J/QfAHP/TS2oRrwQunH8fp+ObRTYByKtVlFITGvtEr1D37b34vox6xjk31TlXfOJB59zXzrlttQ1aROQ4/eEJAzNrD5wHFAEvlD/unFuL79utVKBnpNuTmlNfRC8P+vZdf9k+BG1JNTzo22P+8mgI2pJqhLNvzeyHwK3As865pbWPVoKhv7fRKwzj5ATgRv/Th0MXqYhI1ZRICY9z/OUHzrmCKs7ZWO7cSLYnNae+iF6R7tvv+MvdIWhLqhexvvXfoz/B/1QfvsMvLH1rZknAn4F9VL6GlYRfOK/bi8zs92a20MweNLPBmtUSUaHu2/Pw3brzmXPu32bW279A9AIze8DMetU2YBGR8uK8DiBKdfKXOdWcs7PcuZFsT2pOfRG9Ita3ZpYKXO9/+mJt2pKAhK1vzewGoD8Qj292UW98X1LMdM69HGScErxw9e0M4AzgaufcVzUJTGotnL+Tf1ZJ3VYzu9o5lx1kWxK8UPdtN3/58QkLCp9oqpm9CPy0msSNiEhQlEgJj8b+ssL98yc47C+beNCe1Jz6InpFpG/NLA5YDDQDVuqWgYgIZ9/24eRB+zHgPuD3QbYjNRPyvjWz3sCvgVf86xmJN8Jx3b6Hbwe1lfg+xDcFzsWXOPsBsMLMznXO7Qo+XAlCqPu2ub/sB8QCs4D5wNf+urn4Frc9CPw82GBFRCqjaYzhYf4yVHtLh7o9qTn1RfSKVN/Ox7e942doodlICVvfOufGOucMSMG3Y89sYBrwtpl9K9Q/TyoIad+aWTLwJ3wfuG4KRZtSYyG/bp1zs51zjzvntjrn8p1zu51zrwEX4NsqtzXfLIIq4RPqvj3+eSYOeMo5N8U594lz7oBz7lXgCv/Pus7MOofoZ4pIA6dESngc8peNqznn+LFD1ZwTrvak5tQX0SvsfWtmjwK/wLc97kDn3J6atCNBC3vfOucK/B/OpuD7IPYD4I81aUuCEuq+/Q3wXWCyc07rF3krYn9vnXNFwEz/00tr05YEJFzjZIAnyh90zm3CNxMpBhgQQHsiIqekREp47PCXadWc8+1y50ayPam5Hf5SfRF9dvjLsPStmT0C3AzsxZdE+fgUL5HQ2eEvI3Xd/slfDjOz+BC0J1Xb4S9D1bcjgFJ831yvOfEBDPGfM9Ff92QN4pXA7fCXkbpuP/SX7ULQllRvh78M9TgZYHsV5xyvTw2gPRGRU9IaKeFxfFvTs8wsuYqFrc4vd24k25OaU19Er7D1rZn9DpiM737tS5xzW2septRApK/bA/jWSonDd+9+bgjalMqFo29j8C0gXJXO/sdpAbYnNRPp67aFvzxc7VkSCqHu2y0n/LsFvi8symvpL9W/IhISmpESBs65z/D9Uk8ARpc/bmb98e3usAfYEOn2pObUF9ErXH1rZg8DU4D9+JIo74ckYAmYB9dtP3xJlAOAdnwJozD8ve3onLPKHvi2QwaY4q87O3TvRMrz4Lod4y83VnuW1FoYrttdwDv+pwMrae90fIsKA2yqWdQiIidTIiV8jt9r+1sz63K80sxa41s9HOBh51zpCcdmmtmHZjaTioJuT8Im1H0rdUdI+9bMHgTuwPeB+hLnnGYpeSdkfWtmF5pZupkllv8hZtYHeMr/9CnnXElI34VURr+To1cor9uzzexyM4stVx9nZpPx3XoJ8IeQvwupTKiv2xn+cqqZnX3Ca5KAefh2ytuMvuQSkRDRrT1h4pxbYmbzgIlAtpmtAIrxZcqbAq9QcSHCtsAZ/jIU7UkYhLpvzexcvhk0AHzfX/7GzG474ef2DNmbkEqFsm/NbDhwr//pf4D/NjMq8aFz7uGQvQmpVIiv2//Ctw7KH81sC75vTZv4649fv6/h2wZZwizUv5Ol7ghx33YEXgb2mdk24HN812034Fv41sa5wzm3PDzvRk4UhnHyUjObBdwGvGNm7+C7nfYCfP27C7jGOaddF0UkJJRICSPn3E1mtg74Jb77rWPxLWa2CJgX7OyRULcnNRfivmgK/LCS+u/UOlAJWgj7tvkJ/+7hf1RmLaBESgSEsG/XAg8CF+Lb4aU3vu089wAvAoudc6+EOHyphv4+Rq8Q9u37wKP4PlinAefg2xL3c3yJ0TnOuc0hDl+qEYZx8hQzWw/8N77+TQF2Ar/HN7ulsrVTRERqxJSYFREREREREREJjNZIEREREREREREJkBIpIiIiIiIiIiIBUiJFRERERERERCRASqSIiIiIiIiIiARIiRQRERERERERkQApkSIiIiIiIiIiEiAlUkREREREREREAqREioiIiIiIiIhIgJRIEREREREREREJkBIpIiIiIiIiIiIB+n9wS48GMbTQ5AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<Figure size 1080x720 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 1080x720 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 1080x720 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"x_an = np.linspace(0,L)\n", | |
"an_1 = np.sin(2*np.pi/(2*L)*x)\n", | |
"plt.figure(figsize=(15,10))\n", | |
"plt.subplot(2,1,1)\n", | |
"plt.title('First Mode Convergence')\n", | |
"plt.plot(x_an,an_1,'k',label='Analytical')\n", | |
"plt.plot(x1[1:-1],-v1[:,0]/max(-v1[:,0]),'r-',label='6 nodes')\n", | |
"plt.plot(x2[1:-1],-v2[:,0]/max(-v2[:,0]),'ys',label='30 nodes')\n", | |
"plt.plot(x3[1:-1],v3[:,0]/max(v3[:,0]),'go',label='45 nodes')\n", | |
"plt.plot(x4[1:-1],-v4[:,0]/max(-v4[:,0]),'b*',label='60 nodes')\n", | |
"plt.legend(bbox_to_anchor=[1,1],loc='center left');\n", | |
"\n", | |
"an_2 = -np.sin(2*np.pi/L*x)\n", | |
"plt.figure(figsize=(15,10))\n", | |
"plt.subplot(2,1,1)\n", | |
"plt.title('Second Mode Convergence')\n", | |
"plt.plot(x_an,an_2,'k',label='Analytical')\n", | |
"plt.plot(x1[1:-1],v1[:,1]/max(v1[:,1]),'r-',label='6 nodes')\n", | |
"plt.plot(x2[1:-1],-v2[:,1]/max(-v2[:,1]),'ys',label='30 nodes')\n", | |
"plt.plot(x3[1:-1],v3[:,1]/max(v3[:,1]),'go',label='45 nodes')\n", | |
"plt.plot(x4[1:-1],-v4[:,1]/max(-v4[:,1]),'b*',label='60 nodes')\n", | |
"plt.legend(bbox_to_anchor=[1,1],loc='center left');\n", | |
"\n", | |
"an_3 = np.sin(2*np.pi/(2*L/3)*x)\n", | |
"plt.figure(figsize=(15,10))\n", | |
"plt.subplot(2,1,1)\n", | |
"plt.title('Third Mode Convergence')\n", | |
"plt.plot(x_an,an_3,'k',label='Analytical')\n", | |
"plt.plot(x1[1:-1],v1[:,2]/max(v1[:,2]),'r-',label='6 nodes')\n", | |
"plt.plot(x2[1:-1],v2[:,2]/max(v2[:,2]),'ys',label='30 nodes')\n", | |
"plt.plot(x3[1:-1],-v3[:,2]/max(-v3[:,2]),'go',label='45 nodes')\n", | |
"plt.plot(x4[1:-1],v4[:,2]/max(v4[:,2]),'b*',label='60 nodes')\n", | |
"plt.legend(bbox_to_anchor=[1,1],loc='center left');" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"30 nodes are needed to converge to the analytical solutions. " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"b. Use the number of nodes necessary for convergence to calculate the first 3 modes of vibration for the other 5 strings on the guitar. Display the first three natural frequencies for all six strings. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The first three natural frequencies for the first E string with 30 nodes are 329.5582417096158 , 658.2705121393185 , and 985.2930116053444\n", | |
"The first three natural frequencies for the B string with 30 nodes are 246.99641153429778 , 493.35878682265803 , and 738.4547171810427\n", | |
"The first three natural frequencies for the G string with 30 nodes are 195.99355421041057 , 391.4839957781058 , and 585.969503543348\n", | |
"The first three natural frequencies for the D string with 30 nodes are 146.85180950461066 , 293.3266525203832 , and 439.0485302260604\n", | |
"The first three natural frequencies for the A string with 30 nodes are 109.98239925642098 , 219.6824752713306 , and 328.8186295229268\n", | |
"The first three natural frequencies for the second E string with 30 nodes are 82.41968979777636 , 164.6278094339143 , and 246.41333184434473\n" | |
] | |
} | |
], | |
"source": [ | |
"#E\n", | |
"mu = mu_E\n", | |
"T = T_E*g\n", | |
"N=30 # 30-node guitar string\n", | |
"dx=L/(N+1)\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"eE=e[isort]\n", | |
"vE=v[:,isort]\n", | |
"w1E=np.sqrt(eE[0].real)/2/np.pi\n", | |
"w2E=np.sqrt(eE[1].real)/2/np.pi\n", | |
"w3E=np.sqrt(eE[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for the first E string with 30 nodes are',w1E,',',w2E,', and',w3E)\n", | |
"xE = np.linspace(0,L,N+2)\n", | |
"\n", | |
"\n", | |
"#B\n", | |
"mu = mu_B\n", | |
"T = T_B*g\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"eB=e[isort]\n", | |
"vB=v[:,isort]\n", | |
"w1B=np.sqrt(eB[0].real)/2/np.pi\n", | |
"w2B=np.sqrt(eB[1].real)/2/np.pi\n", | |
"w3B=np.sqrt(eB[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for the B string with 30 nodes are',w1B,',',w2B,', and',w3B)\n", | |
"xB = np.linspace(0,L,N+2)\n", | |
"\n", | |
"#G\n", | |
"mu = mu_G\n", | |
"T = T_G*g\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"eG=e[isort]\n", | |
"vG=v[:,isort]\n", | |
"w1G=np.sqrt(eG[0].real)/2/np.pi\n", | |
"w2G=np.sqrt(eG[1].real)/2/np.pi\n", | |
"w3G=np.sqrt(eG[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for the G string with 30 nodes are',w1G,',',w2G,', and',w3G)\n", | |
"\n", | |
"\n", | |
"#D\n", | |
"mu = mu_D\n", | |
"T = T_D*g\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"eD=e[isort]\n", | |
"vD=v[:,isort]\n", | |
"w1D=np.sqrt(eD[0].real)/2/np.pi\n", | |
"w2D=np.sqrt(eD[1].real)/2/np.pi\n", | |
"w3D=np.sqrt(eD[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for the D string with 30 nodes are',w1D,',',w2D,', and',w3D)\n", | |
"xD = np.linspace(0,L,N+2)\n", | |
"\n", | |
"\n", | |
"#A\n", | |
"mu = mu_A\n", | |
"T = T_A*g\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"eA=e[isort]\n", | |
"vA=v[:,isort]\n", | |
"w1A=np.sqrt(eA[0].real)/2/np.pi\n", | |
"w2A=np.sqrt(eA[1].real)/2/np.pi\n", | |
"w3A=np.sqrt(eA[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for the A string with 30 nodes are',w1A,',',w2A,', and',w3A)\n", | |
"xA = np.linspace(0,L,N+2)\n", | |
"\n", | |
"\n", | |
"#e\n", | |
"mu = mu_e\n", | |
"T = T_e*g\n", | |
"k = T/dx**2/mu\n", | |
"A = k*(np.diag(np.ones(N)*2)\\\n", | |
" -np.diag(np.ones(N-1),-1)\\\n", | |
" -np.diag(np.ones(N-1),1))\n", | |
"e,v=linalg.eig(A)\n", | |
"isort = np.argsort(e.real)\n", | |
"ee=e[isort]\n", | |
"ve=v[:,isort]\n", | |
"w1e=np.sqrt(ee[0].real)/2/np.pi\n", | |
"w2e=np.sqrt(ee[1].real)/2/np.pi\n", | |
"w3e=np.sqrt(ee[2].real)/2/np.pi\n", | |
"print('The first three natural frequencies for the second E string with 30 nodes are',w1e,',',w2e,', and',w3e)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"c. Create an audio signal that has the 18 frequencies (6 strings $\\times$ 3 modes) in an array and display it using the `from IPython.display import Audio` library. \n", | |
"\n", | |
"_Hint: you don't need to solve the differential equations here. You can use the calculated frequencies to add sine-waves together:_ $\\sin(f_12\\pi t)+\\sin(f_22\\pi t)+...$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
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\" type=\"audio/wav\" />\n", | |
" Your browser does not support the audio element.\n", | |
" </audio>\n", | |
" " | |
], | |
"text/plain": [ | |
"<IPython.lib.display.Audio object>" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Audio\n", | |
"r=20000\n", | |
"t=np.arange(0,3,1/r)\n", | |
"E = np.sin(w1E*2*np.pi*t) + np.sin(w2E*2*np.pi*t) + np.sin(w3E*2*np.pi*t)\n", | |
"B = np.sin(w1B*2*np.pi*t) + np.sin(w2B*2*np.pi*t) + np.sin(w3B*2*np.pi*t)\n", | |
"G = np.sin(w1G*2*np.pi*t) + np.sin(w2G*2*np.pi*t) + np.sin(w3G*2*np.pi*t)\n", | |
"D = np.sin(w1D*2*np.pi*t) + np.sin(w2D*2*np.pi*t) + np.sin(w3D*2*np.pi*t)\n", | |
"A = np.sin(w1A*2*np.pi*t) + np.sin(w2A*2*np.pi*t) + np.sin(w3A*2*np.pi*t)\n", | |
"e = np.sin(w1e*2*np.pi*t) + np.sin(w2e*2*np.pi*t) + np.sin(w3e*2*np.pi*t)\n", | |
"Audio(data=E+B+G+D+A+e,rate=r)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
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