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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": "markdown",
"metadata": {},
"source": [
"* $\\frac{d^4w}{dx^4} \\approx EI\\frac{w(x_{i+2})−4w(x_{i+1})+6w(x_i)−4w(x_{i-1})+w(x_{i-2})}{h^4}=0$\n",
"\n",
"1. $ 7w_1 -4w_2 +3w_3 =0$\n",
"\n",
"2. $ -4w_1 +6w_2-4w_3+w_4 =0$\n",
"\n",
"3. $ 1w_1 -4w_2+6w_3-4w_4 +w_5 =0$\n",
"\n",
"4. $ w_2-4w_3+6w_4-4w_5+w_6 =0$\n",
"\n",
"5. $ 1w_3 -4w_4+5w_5-2w_6 =\\frac{-M}{EI}h^2$\n",
"\n",
"6. $ w_4-2w_5+w_6 =\\frac{2M}{EI}h^2$"
]
},
{
"cell_type": "code",
"execution_count": 199,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The deflections of the 6 segments from w_0 to w_5 are\n",
"[3.94180716e-05 1.57672286e-04 3.54762644e-04 6.30689145e-04\n",
" 9.85451789e-04 1.41905058e-03] meters\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy import linalg\n",
"from IPython.display import Audio\n",
"\n",
"L = 0.64 # meters\n",
"rho = np.array([401,708,1140,2333,4466,6790])*10**-6 #kg/m\n",
"T = np.array([7.28,7.22,7.32,8.41,9.03,7.71])*9.81 # Newtons\n",
"A = np.array([])\n",
"E = 10e9 # Pa \n",
"h = 0.004 # m\n",
"cs = 8e-4 # m^2\n",
"I = 2.66e-8 # m^4\n",
"M = np.sum(T)*h\n",
"N = 6\n",
"A = np.array([[7,-4,1,0,0,0],[-4,6,-4,1,0,0],[1,-4,6,-4,1,0],[0,1,-4,6,-4,1],[0,0,1,-4,5,-2],[0,0,0,1,-2,1]])\n",
"\n",
"dx = L/N\n",
"\n",
"b = np.array([0,0,0,0,(-M/(E*I)*dx**2),(M/(E*I)*dx**2)])\n",
"\n",
"sol = np.linalg.solve(A,b)\n",
"\n",
"w_0 = sol[0]\n",
"w_1 = sol[1]\n",
"w_2 = sol[2]\n",
"w_3 = sol[3]\n",
"w_4 = sol[4]\n",
"w_5 = sol[5]\n",
"print('The deflections of the 6 segments from w_0 to w_5 are')\n",
"print(sol, 'meters')\n",
"x1 = np.linspace(0,L,N)\n",
"\n",
"plt.plot(x1,sol,'b')\n",
"plt.xlabel('Distance Across Bridge (m)')\n",
"plt.ylabel('Deformation (m)')\n",
"plt.title('Deformation of Bridge');"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N = [20,40,60]\n",
"L = 0.64\n",
"h = L/N[0]\n",
"for i in N:\n",
" h = L/i\n",
" A =np.diag(np.ones(i)*6)+np.diag(np.ones(i-1)*-4,-1)+np.diag(np.ones(i-1)*-4,1)+np.diag(np.ones(i-2),-2)+np.diag(np.ones(i-2),2)\n",
" A[0,0] += 1\n",
" A[i-2,i-1] += 2\n",
" A[i-1,i-2] += 2\n",
" A[i-2,i-2] -= 1\n",
" A[i-1,i-1] -= 5\n",
" b = np.zeros(i)\n",
" b[-1] = (M*h**2)/(E*I)\n",
" b[-2] = -(M*h**2)/(E*I)\n",
" w = np.linalg.solve(A,b)\n",
" x = np.linspace(0,L,i)\n",
" plt.xlabel('Distance Across Bridge (m)')\n",
" plt.ylabel('Deflection (m)')\n",
" plt.plot(x,w,label='Step Size ='+ str(np.round(h,4)) + ' ' + 'm')\n",
" plt.legend();\n",
"plt.title('Deformation Among Decreasing Step Sizes')\n",
"plt.plot(x1,sol,'b');"
]
},
{
"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": 191,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1st natural frequency is 194.44 Hz for 6 nodes\n",
"2nd natural frequency is 379.12 Hz for 6 nodes\n",
"3rd natural frequency is 544.80 Hz for 6 nodes\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"L=0.64 # 64-cm guitar string\n",
"T=71.81 # N\n",
"mu=1.14e-3 # kg/m\n",
"fre1 = []\n",
"fre2 = []\n",
"fre3 = []\n",
"\n",
"N=6\n",
"dx=L/(N+1)\n",
"k = T/dx**2/mu\n",
"A = k*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(A)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"w1=np.sqrt(e[0].real)/2/np.pi\n",
"w2=np.sqrt(e[1].real)/2/np.pi\n",
"w3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"fre1.append(w1)\n",
"fre2.append(w2)\n",
"fre3.append(w3)\n",
"\n",
"print('1st natural frequency is %1.2f Hz'%(w1),'for',N,'nodes')\n",
"print('2nd natural frequency is %1.2f Hz'%(w2),'for',N,'nodes')\n",
"print('3rd natural frequency is %1.2f Hz'%(w3),'for',N,'nodes')\n",
"f1=np.sqrt(e.real[0])/2/np.pi\n",
"fn=np.sqrt(e.real[-1])/2/np.pi\n",
"x=np.linspace(0,L,N)\n",
"y0=0.1*np.sin(np.pi*x/L)\n",
"plt.plot(x,v[:,0]/np.max(v[:,0]),label='1st')\n",
"plt.plot(x,-v[:,1]/np.max(v[:,1]),label='2nd')\n",
"plt.plot(x,-v[:,2]/np.max(-v[:,2]),label='3rd')\n",
"plt.legend()\n",
"plt.title('Mode Shape');"
]
},
{
"cell_type": "code",
"execution_count": 198,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1st natural frequency is 195.99 Hz for 30 nodes\n",
"2nd natural frequency is 391.49 Hz for 30 nodes\n",
"3rd natural frequency is 585.97 Hz for 30 nodes\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N=30\n",
"dx=L/(N+1)\n",
"k = T/dx**2/mu\n",
"A = k*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(A)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"w1=np.sqrt(e[0].real)/2/np.pi\n",
"w2=np.sqrt(e[1].real)/2/np.pi\n",
"w3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"fre1.append(w1)\n",
"fre2.append(w2)\n",
"fre3.append(w3)\n",
"\n",
"print('1st natural frequency is %1.2f Hz'%(w1),'for',N,'nodes')\n",
"print('2nd natural frequency is %1.2f Hz'%(w2),'for',N,'nodes')\n",
"print('3rd natural frequency is %1.2f Hz'%(w3),'for',N,'nodes')\n",
"f1=np.sqrt(e.real[0])/2/np.pi\n",
"fn=np.sqrt(e.real[-1])/2/np.pi\n",
"x=np.linspace(0,L,N)\n",
"y0=0.1*np.sin(np.pi*x/L)\n",
"plt.plot(x,v[:,0]/np.max(v[:,0]),label='1st')\n",
"plt.plot(x,-v[:,1]/np.max(v[:,1]),label='2nd')\n",
"plt.plot(x,-v[:,2]/np.max(-v[:,2]),label='3rd')\n",
"plt.title('Mode Shape');"
]
},
{
"cell_type": "code",
"execution_count": 195,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1st natural frequency is 196.04 Hz for 45 nodes\n",
"2nd natural frequency is 391.85 Hz for 45 nodes\n",
"3rd natural frequency is 587.21 Hz for 45 nodes\n"
]
},
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Mode Shape')"
]
},
"execution_count": 195,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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fs3hEYibLDl9h/clr3M4von1jVx7r0YTR7RtRx7Z6z9FaAgnpuaw6dpWVx66SnJmHr5sDj/bwZVKQD3UdjOxZZiIOxB/gb7v+Rnv39iwYusAsbp4JtxOYvGkyzrbOrBq1Cmdbdb3jKoNmCFQk8XYikzdNxtHGkVWjV+Fi61K5hnLSYNVUZbql+2wY+q/7TrecST7DjO0zaOzcmJ+Cf8LBRqXpgOTLhmmsCBj2keJmWgy9XrIjLJElB2M5HJ2CrbWO0e0b8nhPPzr61FVHcw0nv1BPyIUElh++wrHYVOysdYzt0Iin+/rTskEl/0bNwLnkczwV8hR+rn4sGr6o8v9PlSA0IZQZ22fQx7sPXw36qmpOHiqgGQKVyC/K58mQJ4lIi2DlyJWVn6/PuQXLx0PiBRj3LbR/qNxVD8UfYvYfs3m09aO83vX1yvVvDPKy4LfZELZRMWK9n6egSM/GM9f5dk8UkUlZeNetw6M9mjC5qw9ujtXj6bQmcCkhg2WHr/DbqXiy84sY0sqTZwc2o7NvPbWl/YWCogImbpxITmEOK0etxL2Ou9k1rAxbySfHPuHZDs/yTMdnzN5/VSjLEFR/p2oL55Njn3A2+SyfD/i88kYgNx1+mgAJ52HyT9DiXoFe76aXdy8mNp/IirAVjAkYQ6v6rSqno6rYOcHEJbB+Bux4h9C4DF680otraTm0bODM3CmdGNm2AdY13NXREmnZwIWPH2jH34e3ZOnhWBYfjGHCt4fo1bQ+cwY2o1fT+haxIL/kwhKi06OZN3ieKkYAYErLKVxIucC3Z76lVf1WDPAZoIoOY6KNCEzIL5d/4b3D7/F026d5scuLlWskN0MxAtdPwaTl0HJkpZpJz0tn3G/jaODYgBUjV6jmD52VV8iqw1H4732BIfIw3zvNxn/kywxq6VktFyxrKrfzCll17CoL90WTlJlHB5+6zBnQlCGtvFT7PcVlxPHA7w/Qr3E/Ph/wuSoa7pBbmMvjWx8nLjOOVaNW4efqp6qe8lLWiEB79DIRCbcT+Pexf9OzYU/+1ulvlWskLxNWPKQYgYeWVNoIALjaufJ619e5kHKBNeFrKt1OZckrLGLxgRj6/Xc3H22LZFmjt0nxGcaMrAUMyfpdMwIWhqOdNdP7BrD/7wP5+IF2pN3OZ+byE4ydd4D9Eclm1yOl5MOjH2Kts+aNburnr7K3tuergV9hrbPmnYPvUB0fqIujGQIT8eXJL9FLPe/1eq9yT9/5t2HFJCVs9IOLoNWYKmsK9g+mV6NezD01l8TbiVVurzwU6SXrT15j8P/28sGmi7Twcmb9s71YNqMP9aetgObBsOVVCP3RLHo0KoadtRVTu/uy65X+/O+hDqTdLuCxRcd45IcjnL12y2w6tsZs5dD1Qzzf6Xk8HTzN1u+9aOjUkBc7v8jp5NOEXAlRW06V0KaGTMC55HNM3TK18tvd87Nh5SQlbPSDP0DbB42mzVzDayklu8OT+O+2cC4lZNKmkQt/H9GSvoHuf51rLsyDNY8pAfLGfg2dHzeZJo2qk1dYxIojV/lmdySpt/MZ1a4hrwxrbtKAd+l56Yz9bSyNHBvx08ifLCrMQ5G+iEmbJnG74DYbxm/AzspObUn3RJsaMhNSSv57/L/Ut6/P9HbTK95AYT6selgxAg8sNKoRAPBx8WFW+1nsuLKDfdf2GbXtO5y6msbk747w1JJQcguK+HpKJzY+14d+zT3uXnC0toNJy6DZEPj9eSWSqYbFYmdtxVN9/Nn72gCeHxzI7vAkhn6xjzfXnyM5M88kfX518itu5d3i3Z7vWpQRALDSWfFa19eIz4pn+cXlasupNJohMDIhV0I4nXyav3X6G442FYz6KSVseUUJ2jZuXoVcRCvCE22eoKlrUz468hHZBdlGazc5M49Xfz7DA98eIiblNv8a35YdL/dnTIdG914DsLGHySuU3dEbnoOrR42mScM0ONvb8PLQ5ux7fSCP9WjCuhNxDPpsDz/sj6agqIy0p5XgdNJpfr78M4+2elQ9b7f70KNhDwY0HsAP537gZs5NteVUCs0QGJG8ojy+PPElLeq1YHyz8RVv4PgPcHKZEsa541TjCzRgY2XDOz3f4frt6yw4s6DK7RUU6flhfzSDPtvDhtPxzO7flD2vDuCxHk3KH/XSxt4QgqKxsvEsPb7KujRMj7uTHe+NbcP2l/oT5FePDzeHEfzVfqMsKBfoC3j/8Ps0cGxQ9ZAsJuaVoFfIK8xj3ul5akupFJohMCLLLy4nPiueV7u+WvEhbOwB2PYGNB8BA982jcBidPHqwoTACSy7uIzw1PBKt7M/Ipngr/bz4eYwgvzqsf2l/rwR3BJHu0psUXFwgymrlHSaax6BgpxK69IwL/7ujvz4ZDcWTQuioEjPY4uOMWt5KHGplR9xLruwjMhbkbzV7S31dsSXEz9XPx5u+TDrI9ZzOe2y2nIqjGYIjMTNnJv8cO4HBjQeQI+GPSpW+dZVWPu4khB+wkLQmefX8nKXl3G1c+WDIx+glxUbzl9Ly2bW8lAeW3SMgiI9i6YF8eOT3fB3r2ISHM9Wys/g+inY+IIyXaZRbRjcyouQF/vx2vAW7Lt8kyGf7+XzHZfJLSiqUDvxWfEsOLOAQT6DGOg70ERqjcvsDrNxsnHi0+OfVjt3UqPccYQQI4QQ4UKISCHEXU6+QojXhBCnDcd5IUSREMLNcC1WCHHOcM1yXYHuwzenviGvMI9Xgl6pWMX827B6KhQVwsOrKpdLuJK42rnyUpeXOJt8lt1xu8tVp0gvWXwghmFf7GPf5Zu8NrwFIS/2Y3ArL+MJazkKBv4Dzq6Bw9VzqF2bsbexYs7AZux6tT/D2jRg7s4Igr/az5HolHK3seDMAiSSN7u/aUKlxsXVzpVnOjzDkRtHTOaIYSqqbAiEEFbAPCAYaA1MEUK0Ll5GSvmplLKjlLIj8CawV0qZWqzIQMP1u9yaqgPhqeH8GvkrD7d8uGI7DKVUFkcTzsPEReBu/rwBowNG4+Psw8KzC+/7FHMpIYMJ8w/xwaaLdPd3Y8fL/ZgzsBn2Nibw5Oj7KrQaCzveURLdaFQ7GrrW4espnVgxvTtFesnDC4/w5vqzpOcU3LNefFY8m6I2MbH5xCqlb1WDyS0n4+fix2ehn1Ggv/f3tCSMMSLoBkRKKaOllPnAamDcPcpPAVYZoV+LQErJp6Gf4mTjxOwOsytW+cAXcGG9klQmcKgp5N0Xa50109tN52LKRQ5eP1hqmdyCIv63PZzRcw8Ql5rNVw93ZPETXWlcz4TztjodjJ8PHq1g3VOQEmW6vjRMSu9m7oS82I9Z/QJYczyOoZ/vZdv5G2WW//H8jyAU77bqho3OhleCXiE2I5a14WvVllNujGEIvIG4Yp+vGc7dhRDCASWB/S/FTktguxDihBBiZlmdCCFmCiFChRChycnm3+JeFvuu7ePojaM82/FZXO0qMK1zOQR2fgBtJ0Jv4+RYrSxjAsbQwLEB35357q5RwbGYVEbO3c/XuyIZ27ERf7zcn3Edvc0TgMzOCaasBCGU6bO8TNP3qWES6tha8ebIVmyY0wd3Jztm/3SSWctDSczI/Uu5pOwk1kesZ3yz8dVuNHCH/o37071hd+afmU96XrracsqFMQxBaXeEsuYYxgAHS0wL9ZZSdkaZWpojhOhXWkUp5UIpZZCUMsjDQ6UEKyXQSz1fnPgCPxc/JrWoQF7eW1fhlxnQoJ2ym1blqI42VjY81fYpTiefJjRRWabJyS/inxvOM+m7w+QX6ln2VDc+n9TR/KGh6/kpcZZuRigbzqrZIpzGX2nX2JUNz/XmjeCW7AlPZsjne/nlxLU/H0CWXFiCXup5qu1TKiutPEIIXgt6jcz8TBafX6y2nHJhDENwDfAp9rkxcL2Msg9TYlpISnnd8JoE/Ioy1VQtOBB/gKj0KGZ1mIWNrpxp8vRF8OtskHqYvFxJNWkBPNDsAerb12fh2YWcuprGqLn7WXr4Ck/08mP7S/3o11xF4xswAAa+pUyjna0+w22N0rGx0jG7f1NCXuxHywbOvPLzGZ756SRRKQmsu7yOkf4j8XH2uX9DFkwLtxYMbTKUteFrycrPUlvOfTGGITgOBAoh/IUQtig3+99LFhJCuAL9gQ3FzjkKIZzvvAeGAeeNoMksLLmwBC8HL4b7DS9/pUNfK+EjRv5Xedq1EOyt7Xms9TSO3DjCpCWryS0oYuX07rw3tg0OthaQtqLPS+DTQwlQd+uq2mo0jICfuyOrZ/bkzeCW7LqUxIMr/0NuYW7lQrNYIE+0eYKsgizWR6xXW8p9qbIhkFIWAs8BIUAYsFZKeUEIMVsIUXz19AFgu5TydrFzXsABIcQZ4BiwWUq5raqazMGFmxc4nnCcx1o/Vv7RwI0zsOtDxRumwxTTCqwgEYmZ/LKnMbLQgcb+h9j2Uj96NVMn8Uep6KxgwnfK1NCvs5WRlUa1x0onmNW/KStmtUPvfID8jLZ890cWWXmFakurMm3d29LFqws/hf1k8R5ERtlHIKXcIqVsLqVsKqX8yHBugZRyQbEyS6SUD5eoFy2l7GA42typWx1YemEpTjZOPBhYzqBwBTmwfiY41IcxX6m+LnAHvV7yw/5oRn19gIRbMML3IW7qT3M92wK9dOr5QfB/lBHVoa/VVqNhRE6kbUKKXMb7Pc7PJ+IY8eU+jlZg34Gl8kSbJ7hx+wY7YneoLeWeaDuLK0F8Vjzbr2xnYvOJONmWM/zuH+9B8iUY/60SSsECSM7MY9qPx/hwcxj9At3Z9mJf3u0/EycbJ74/+73a8kqn41RlRLXrQ7hxVm01GkYguyCbn8J+on/j/vx7zAjWzuqJTgge/v4In28Pp9CIQezMTb/G/fB39WfJhSUWvdtYMwSV4KeLPyEQPNLqkfJViNwJRxdA99nQbLBpxZWTOzGCjsWk8vED7fj+8SA8ne1xsXVhSssp7Liyg+hb0WrLvBshlBGVQ30l97EWj6jaszZ8Lel56cxoPwOAID83tr7Qlwc7N2burkimfH+E67eq5+9ZJ3RMaz2NsNQwjiccV1tOmWiGoIKk56XzS8QvjPAfUT4/5+xU+O1Z8GipbBxTmYIiPf/ZdonHFh3DzdGG35/rw9Tuvn/ZF/Bo60ext7bnh3M/qKj0Hji4wfh5ygjrj/fVVqNRBXILc1lyYQk9Gvagg0eHP8872lnz2UMd+HJyRy5ezyD4q/1sv5CgotLKM7rpaNzs3VhyYYnaUspEMwQVZN3ldeQU5pRv16OUSuC07BQlkJpNHZPruxdxqdlM+u4w8/dEMaWbLxvm9KFFA+e7yrnZu/FQ84fYErOFuIy4UlqyAJoNgW6z4Oh8iNqlthqNSrI+Yj0puSnMbF/6XtLxnbzZ9HxffNzqMHP5Cd77/UKFA9ipjZ2VHVNbTmV//H4i0yLVllMqmiGoAAVFBawIW0HPhj1p4dbi/hXOrIKw32HQP6Bhh/uXNyFbz91g5Nz9RCZm8c3UTnwyoR11bMuOETStzTR0Qsei84vMqLKCDH0f3FsoI67s1PuX17AoCooKWHx+MZ08OxHkVXaYMX93R355phdP9/FnyaFYJnx7iOhky/fNL87kFpOxt7Jn2cVlakspFc0QVIAtMVtIzkku32gg4wZs/Tv49oJez5tcW1nkF+p57/cLPLPiJAEeTmx5oS+j2ze6bz1PB08mBE5gQ9QGy826ZFNHGWndvqnkctCoVmyN3UpidiIz2s24b8gSO2sr3hndmkXTgriRnsPorw+w6WxZ+1Ytj7r2dRnfbDybojeRnG05IXLuoBmCciKlZMmFJQTWC6Rno573r7Dt71CUD+O+UXzgVeBGeg4PLzzMkkOxPN3Hn3Wze+LjVv6dzFNbTaVQX8hvkb+ZUGUVadQR+ryohKyOKl8obQ3LYE34Gvxc/Ojj3afcdQa38mLrC/1o1dCF51ae4v2NF4yaGtOUPN76cYpkESsvrVRbyl1ohqCcHLx+kMhbkTzR5on7B1wL3wYXN0C/16B+U/MILMGhyJuMnnuA8IRM5k3tzDujW5c/baSBANcAujXoxrrL6yiy5A1cfV9VkvpseknzIqomXEq9xNnks0xqManCAQwbuHTmmmEAACAASURBVNqzemYPnuztx48HY5my8MhdwessER8XHwb7DmZN+Bqj5go3BpohKCdLLizBs44nwX7B9y6Yl6WEQfBopcqUkF4v+XZPJI8uOko9R1s2PNeHUe0bVrq9h1o8RHxWfJkhqi0CG3sY/QWkxcC+z9RWo1EO1oavxc7KjrFNx1aqvo2Vjn+OacPcKZ24eCODUXP3czjK8jegPdHmCTLzM/k18le1pfwFzRCUg7CUMI7eOMojrR/Bxuo+4ST2fALpcTDmS7A2b6TO9JwCZi4/wX+3hTOyXUM2zOlNM89ybngrg8E+g6lvX9/yY6sHDFDCdhz8EpLC1FajcQ+y8rPYFL2JEX4jKha6vRTGdmjEb3N641LHhkcXHeW7vVEWvXGrvUd7Ont2ZvnF5RTqLSeMhmYIysGyi8twsHZgYvOJ9y544wwcmQ9dngDfCuYtriLhCZmM++YAe8KTeHd0a76e0qlyCeRLYGNlw4TACey7to/rWRa+ODfsQ7BzgY0vgr56zBvXRjZHbyanMKdiodvvQXMvZzbM6c3wNl58svUSz/x00qJjFU1rM434rHh2XrWczHuaIbgPt3JvERIbwrhm43CxdSm7oL5I2TPgUN/sG8dCLiQw4duD3M4vYvXMHjzVx9+oiWPuGMB1l9cZrU2T4OiuGIO4I3ByqdpqNEpBSsmay2to5daKdu7tjNaus70N86Z25h8jW7H9YgIPfnuIqymWNQ9/hwE+A/B28ubnyz+rLeVPNENwHzZFb6JAX3D/4HLHvofrp2DEJ1Cnnlm06fWSr/6IYNbyEzTzdGLjc30I8jN+HKNGTo3o17gf6yPWW3wURTpOBb++sOOfkJmothqNEpxJPkNEWkSlFonvhxCCGf0CWPZUdxIychk77wCHIi3P9VkndEwInMDRG0ctZsOmZgjugZSSXyJ+oW39tvfeQJYeD7v+pex2bVvOaKRV5HZeIXNWnuSLPy4zoZM3a2b1pIGrvcn6m9RiEim5Key6auG7eIVQFo4LcyDkTbXVaJRgTfgaHG0cGek/0mR99Al0Z8Oc3ng42fHY4mMsORhjcesG45qOQyd0FrNorBmCe3Du5jkib0UyofmEexfc+royNTTqf2YJLx2Xms2D8w8RciGBf4xsxf8mdcDexrR7FXo36k0jx0aWv2gM4B6ouJSe/wUi/lBbjYaBtNw0QmJDGBMwBgcb02bm83N3ZP2zvRjYwpP3Nl7kjV/OkVdoOS7QXo5e9PXuy2+Rv1nEorFRDIEQYoQQIlwIESmEuGuLpxBigBAiXQhx2nC8W966avJLxC/Usa5z76eXsE1waRMMeMMsGccOR6Uw9psDxN/K4ccnuzGjX4BZEslb6ax4qMVDHEs4RnS6BUYlLUmfF8G9OWx+CfItc664trEhcgMF+gKjLRLfD2d7GxY+1oW/DWrGmtA4pn5/lKRMy9lv8GDggyTnJLP/2n61pVTdEAghrIB5KMnnWwNThBCtSym6X0rZ0XB8UMG6Zud2wW22xmxlhN8IHG0cSy+Un62EkfBsAz3nmFzTqmNXeWzRUdwcbdkwpzf9zZxHeHyz8VjrrPk53HIWucrE2g5Gf6mktdyv7S1QG73Us/byWjp7diawXqDZ+tXpBK8Ma8G8qZ25eD2Dcd8c5OL1DLP1fy/6Nu6LRx0Pi0hlaYwRQTcg0pBtLB9YDYwzQ12TsjVmKzmFOTzY/B5z/ofmQsY1GPUZ3G9/QRUo0ks+3hLGm+vP0buZO7/O6U2AR9X2B1QG9zruDPEdwoaoDeQWWs6TVZn49YZ2k+DQN5AWq7aaWs2RG0eIy4wz22igJKPaN2TdM0pomIkLDrEzTH1HAmudNeObjWdf/D4Sb6urxxiGwBsovvR9zXCuJD2FEGeEEFuFEG0qWNfsrI9YT7O6zWjv3r70AunX4MCX0OYBaNLLZDqy8wuZ/dMJFu6L5vGeTVg0LQgXe9MZnfsxqcUkMvMz2RZbLVJLK668OivY/o7aSmo1a8PXUs+uHkObDFVNQ5tGrvw2pzdNPZyYsSyUxQfUX0R+oNkD6KWeDVEbVNVhDENQ2gR1yZ/uSaCJlLID8DVwJ4pZeeoqBYWYKYQIFUKEJiebNnpfeGo4526eY0LghLLn33f8E5Aw9AOT6UhIz2XSd4fZGZbIe2Na88G4tlhXMF6QsQnyCiLANaB6LBoDuHpDn5eVcOAx6s/F1kYSbyeyJ24P4wPHY2tl3t32JfFysWfNrB4Mbe3FB5su8s6G86qmwvRx8aF7g+6sj1iPXqqnwxh3lWuAT7HPjYG/bEGVUmZIKbMM77cANkII9/LULdbGQillkJQyyMPDtHPj6yPWY6OzYUzAmNILXDkM59cpsYTq+ppEw/n4dMbPO0hM8m1+mBbEE739TdJPRRFCMKnFJM7dPMfFlItqyykfvZ4DV18lVLUlB8+roayPWE+RLOKh5g+pLQUAB1tr5j/ShVn9A/jpyFWeXHKcjFz19sc82PxB4rPiOXrjqGoajGEIjgOBQgh/IYQt8DDwe/ECQogGwvBoLYToZug3pTx1zU1uYS4bozcyxHcIde3r3l1Ar1duKM6NFM8UE/DHxUQmfXcYnYB1z/RiUEsvk/RTWcY0HYO9lX31GRXY1IFhH0DieW3HsZkp1BeyLmIdvRv1xsfZ5/4VzIROJ3gzuBX/ebAdh6NSePDbQ8SlquNdNsh3EK52rqouGlfZEEgpC4HngBAgDFgrpbwghJgthJhtKDYROC+EOAPMBR6WCqXWraqmqvDH1T/IzM8se+/AmZVw47QyJWRbhjdRFVh6KJYZy0MJ9HTitzm9adXwHmEtVMLF1oVg/2C2xGyxuHC6ZdJ6PDTpDbs+hJxbaqupNRyIP0BSdhIPtbCM0UBJJnf1ZdnT3UjMyOWBbw9y9pr5/zbsrOwYEzCGnVd3kpabZvb+wUj7CKSUW6SUzaWUTaWUHxnOLZBSLjC8/0ZK2UZK2UFK2UNKeeheddVkfcR6Gjs1pluDbndfzM1QkqU37gbt7hOAroLoDZ5B//z9AkNaebF6Zk88XUy3U7iqjG82npzCHIsKnHVPhFDCf2Snwt7/qq2m1vB71O+42bvRr3E/taWUSa+m7qx/tjf2NlZM/u4Iuy6Z34NnQuAECvQFbIzaaPa+QdtZ/BeuZFzheMJxJgROQCdK+dHs/wxuJ0Hwv426gzi3oIjnV5/60zNowaNd7plP2BLo5NkJbydvfo9SdSavYjTsAJ0fh2PfQfJltdXUeNLz0tkTt4eR/iOx0ann6VYemnk6sf7ZXjTzdGL60lBWHr1q1v4D6wXS3qM96yPWq+LJpBmCYqyPWI+VsGJcs1K2MqREKSGmOz4C3l2M1uet7HweX3SMTWdv8GZwS94f2wYrnel3ClcVIQRjm47l6I2jJNxOUFtO+Rn0Dtg4wPZ/qK2kxhMSG0KBvoAxTctwurAwPJ2VzGf9m3vw1q/n+DTkkllvyhMDJxKVHsWZ5DNm6/MOmiEwUKAvYEPkBvo27oung+fdBba/A1a2MPjdu69Vkjsxg07H3WLulE7M6t/ULOEijMWYgDFIJJujN6stpfw4eUD/1yFiO1zerraaGs3GqI00q9uMVm6t1JZSbhztrPn+8SCmdPNh3u4oXl57hvxC87h1DvcbjoO1A79E/GKW/oqjGQID++L2kZKbUnq46ahdEL4Z+r4Czg2M0t/5+HQmzD9EcmYey57uxtgOjYzSrjnxcfGhk2cnNkZtVH1jToXoNgvcmkLIW1CYr7aaGsnVjKucTj7NmKZjqtXDDYC1lY6PH2jHK0Ob8+upeJ5ccsws7qUONg4E+wcTEhtCVn6WyfsrjmYIDPwa+SuedTzp493nrxf0RRDyNtRtAj2eNUpf+yOSmfTdYWytdPzyTC96BNQ3SrtqMKbpGKLSo7iYWk32FICSQnTEJ5ASAaGL1VZTI9kYvRGBYJT/KLWlVAohBH8bHMj/HurA0ehUJi04TGKG6cOqTGw+kZzCHLPv3NcMAZCam8rB+IOMChiFta5EesczqyHpghKqwKbqXjwbTsfz1JLj+Lo5sP7ZXgR6OVe5TTUZ1mQYtjpb1bwdKk3gMPDvB/v+q3iDaRgNvdSzMWojPRr2wMvRsvbAVJQHuzTmxye7ctUwjRudbNon9Tb12+Dv6s+m6E0m7ackmiFAWdQqlIWMCijx9FKQA7s/gkadlZhCVWTxgRheWH2aTr71WDOrJ14W7B5aXlztXBngM4At0VssP3tZcYRQ9oJkp8DBr9RWU6M4lXSK+Kz4arNIfD/6BnqwemYPsvOLmLjgMGfiTLfXQAjB6IDRnEg8YdYc4ZohQEmmHVgv8O4sZEcXQEa8csOowjynlJL/bLvEB5suMryNF8ue6oZrHct2p6sIY5uOJS0vjYPxB9WWUjEadVIyyh2eBxk31FZTY9gYtZE61nUY7DtYbSlGo33juqyb3RMHWyumfH+EfZdNF+/sTv6TLTFbTNZHSWq9IYjLiONM8hlGB4z+64XsVNj/BQQOB/++lW6/sEjP6+vOMn9PFFO6+fLtI11Mnk3M3PTy7oWbvVv12lNwh0HvgL4Q9nyitpIaQW5hLiGxIQxtMtTkWcjMTYCHE+uf6YWvmwNPLTnOhtPxJumnsXNjOnl2YlPUJrM5YdR6Q7ApZhMCcXcWsv3/g/xMZW2gkuTkFzFr+Ql+PnGNFwYH8vEDbavFHoGKYqOzYaT/SPbE7SE9L11tORXDzR+6Pg2nlkPSJbXVVHt2x+0mqyCLsU3Hqi3FJHi62LN2dk+6NKnHC6tPs+hAjEn6GR0wmqj0KMLTwk3SfklqtSGQUvGBD2oQRAPHYm6haVfg2ELoMBW8KpcwLT27gMcWHWVXeBL/Gt+Wl4Y2r3ZudBVhTNMxFOgLCIkNUVtKxen3Gtg6wc731VZS7fk96ncaODaga4OuaksxGS72Nix9qhsj2jTgX5su8p9txt94NqzJMKx11myKMs+ica02BBdSLnAl48rd00K7PwKhg4FvVardpMxcJi88zNlr6cyb2pnHejQxglrLppVbK5rVbVY9p4cc3aH3CxC+RQkxrlEpbubc5ND1Q4wOGF16iJYahL2NFfMe6czU7r7M3xPFW7+ep0hvPGNQ174ufb37siVmC0VmCJ1es39b92FT9CZsdbYMaTLk/0/eOANn10D32UpSkwoSl5rNQwsOczU1m8VPdGVku4ZGVGy5CCEY03QMZ5LPcCXjitpyKk6PZ8G5Iex4B6rT5jgLYnP0ZvRSX3YejxqGlU7w0fi2zBnYlFXHrvL8qlNG3YU8KmAUyTnJHEs4ZrQ2y6LWGoICfQFbY7bS36c/LrbFQj3v+CfUqQd9Xqpwm+EJmTw4/xC3sgtYMb07fQLdjajY8hnlPwqBqH57CgBsHWDAm3DtOIRVQ/0WwMaojbSt35aAugFqSzEbQgheG96St0a2ZPO5G0xfFkp2fqFR2u7fuD9ONk5mCeFSaw3BketHSM1N/evegahdEL1bmTOuU0pSmntw6moak75TphXWzupJJ996xpRbLfBy9KJHwx5sit6katq9StPxEXBvoawVFFWjPREWQHhqOOFp4TVm70BFmdmvKf95sB0HIpJ59IejpGdX/e/H3tqeoU2G8sfVP8gpzDGCyrKptYZgc8xmXGxd6OttcA3V65XRQF1f6Dq9Qm0diLjJIz8cxbWODetm96JFg+q9W7gqjG02lviseE4mnlRbSsWxsla8xFIi4eQytdVUKzZGbcRaZ02wf7DaUlRjcldf5k3tzPn4DCYvPEySEUJSjA4Yze2C2+yN22sEhWVjFEMghBghhAgXQkQKId4o5fojQoizhuOQEKJDsWuxQohzQojTQohQY+i5H9kF2ey6uovhfsP/P5n2+XWQcFbxK7e2K3db287f+DNkxLrZPfGtX7N8pyvKIJ9BOFg7sDG6mk6vtAgG356w59+QZ97AX9WVQn0hm2M208+7H/Xsa99IuDjB7Rqy6IkgrqZmM3HBYa6mVC2DX1CDIDwdPE0ecqLKhkAIYQXMA4KB1sAUIURJn8sYoL+Usj3wL2BhiesDpZQdpZRBVdVTHnZe3UlOYc7/ewsV5ispDBu0g7blzzy27sQ1nl1xkjbeLqye2cOiM4qZCwcbB4Y0GcL22O3kFeWpLafi3Ak9cTsJjs5XW0214NiNY9zMucnopqPvX7gW0DfQg5+mdyc9p4CHvjtEZFJmpdvSCR2j/EdxMP6gSdNYGmNE0A2IlFJGSynzgdXAXzK7SCkPSSnvfIsjQGMj9FtpNkdvxtvJm46eHZUTp5bBrSsw+J+gK9+PZNnhWF79+Qw9m9bnp6e7U9fB1nSCqxkj/UeSVZDFgWsH1JZSOXy6QYuRcPBrZYe5xj3ZErMFJxsni05HaW46+9ZjzaweFOlh0ndHOB9f+Y2WowJGUSgLTbpHxxiGwBuIK/b5muFcWTwNbC32WQLbhRAnhBAzy6okhJgphAgVQoQmJ1c+zsfNnJscvnGYkf4jFV/n/GzY+6kyHdBsyP0bAObtjuTdDUpu4UXTuuJoZ33/SrWI7g2742bvxtbYrfcvbKkM/AfkZcChuWorsWjyi/LZeXUng3wHYWdV/inV2kDLBi78PLsn9tY6pnx/hNDYyj1UtHBrQWC9QJNODxnDEJS2XbZUR2whxEAUQ/D3Yqd7Syk7o0wtzRFClPpYIaVcKKUMklIGeXh4VFrstpht6KX+/72Fjn8PWQlK5rH77Py9Ezzu05BwxnVsxPxHO9e4uEHGwFpnzdAmQ9kbt5fsgqrNkapGg7bQbiIcWQCZ5k9mXl3YH7+frIKsu0O0aADg7+7Iz8/0wt3JjscWHeNAxM1KtTPKfxRnks8QlxF3/8KVwBiG4BrgU+xzY+Cu+KlCiPbAD8A4KWXKnfNSyuuG1yTgV5SpJpOxKXoTrdxa0bRuUyUO/YEvlJFAk173rKfXS977/cKfweM+n9QRG6ta63R1X4L9g8ktymVX3C61pVSeAW9CUT7s/0xtJRbL1pit1LOrR7eGJv23rdZ4163Dmlk9aFJfCVa3/ULFc3zfeXDdFGOaUYEx7mTHgUAhhL8QwhZ4GPhLnAEhhC+wHnhMSnm52HlHIYTznffAMOC8ETSVSnR6NBdSLvz/IvHheZCTBoPevme9wiI9r607y9LDV5jR17/GBo8zJp08O+Hl4MXWmGo8PVS/KXR+DEJ/VOJPafyF7IJs9sbtZZjfMGx0NSesuinwdLZn9cwetGrkwjMrTlY4cumd+E2bozebJCJplQ2BlLIQeA4IAcKAtVLKC0KI2UKI2YZi7wL1gW9LuIl6AQeEEGeAY8BmKaXJcrRtjt6MTugUX+fbKXD4G2g9TolLXwb5hXqeX32KX05e46UhzXlrZKsaHTzOWNz5OR+KP1T9IpIWp9/rStypvf9RW4nFsTtuN7lFubV670BFqOtgy4rp3enqV48X15xm1bGrFao/OmA0VzKucP6m8Z+VjTK3IaXcIqVsLqVsKqX8yHBugZRygeH9dCllPYOL6J9uogZPow6Go82duqaipVtLprWZhoeDBxz4HAqylUXBMsgtKGL2TyfYci6Bt0e14oUhgZoRqADB/sEUykJ2XNmhtpTK4+oN3WbAmVWQbJ6QwNWFrTFb8XLwopNn2Q9SGn/Fyc6aJU92Y0BzD95cf47FFQhjPaTJEMYEjMHe2vhu6rVqkntok6G83OVlSI+HY99D+4fBo0WpZbPzC5m+NJRdl5L46IG2TO9be+KnGItWbq3wc/Gr3tNDoMSdsnGA3R+rrcRiSM9L5+D1gwT7B9f4SKPGxt7Giu8eC2JEmwZ8sOki83ZHlquei60LH/f9mMB6gUbXVDt/g/s+BamHAX8v9XJmbgHTFh/jUNRN/vdQBx7pXvPDSJsCIQQj/EdwPOE4SdlJasupPI7u0HMOXPwNrp9WW41FsOPKDgr1hYzwH6G2lGqJrbWOb6Z2YlzHRnwaEs7/toebLRtZadQ+Q5ASpWSj6vIE1PO76/Kt7Hwe/eEop67e4uspnXmwi6p736o9wf7BSCTbY7erLaVq9JyjRKXd9aHaSiyCbTHbaOLShNZulUvcpAHWVjo+n9SRyUE+fL0rko82h6lmDGqfIdjzb9DZQL9X77p0MyuPhxceIexGJgse7cKo9rUjl4ApCXANoKVby+o/PWTvqkwRRe6AK4fUVqMqydlKjPxg/2BtzayKWOkEn0xoxxO9/PjhQAxv/3YevRET3JSX2mUIEi/CuZ+h+yxwbvDXSxm5PLzwCLEpt1n0RBBDWnupJLLmEewfzNmbZ4nLNM1mGLPRdQY4NYCdH9Tq5DUhsSFIJMF+mreQMdDpBP8c05pZ/QNYcfQqr607S2GRecO41y5DcOALsHNW0hIWI/5WDpO+O8yNWzksfbIbfQMrv3NZ425G+CnzyNtiTOYZbB5sHZSR5NXDELlTbTWqsTVmKy3qtahVCWhMjRCCN0a05KUhzfnl5DVeXHOaAjMag9plCEZ+Cg+vBAe3P09dTclm0oLDpN7OZ/n07nQPqK+iwJpJI6dGdPToWL1jD92h8zRw9YXdH9bKUcG1zGucvXlW2ztgAoQQvDAkkDeDW7Lp7A3mrDhJXqHp8xVDbTMEdeqCf98/P0YnZzHpu8Pczi9k5fQedK6FWcXMRbB/MBFpEUSmlc9VzmKxtoX+r8P1UxBeAwxbBdkWq4zqNENgOmb1b8o/x7Rm+8VEZi8/QW6BlrzeZFxOzGTSd0coKNKzakYP2jV2VVtSjWaY3zB0QseWmC1qS6k6HaaAWwDs/kjJbFeL2BKzhY4eHWnk1EhtKTWaJ3v789EDbdkdnsz0paHk5JvWGNRKQ3DxegYPLzyCTsCaWT1o1dDl/pU0qoR7HXe6N+jO1pitqvpLGwUrayUgXeJ5CNugthqzEZkWSURahDYaMBOPdG/CpxPbczDqJtN+PEZWXqHJ+qp1huDstVtM+f4IdtY61szqSTPP2ptf2NwE+wdzLeuaSWKlmJ22D4JHS9j9CejNM4+rNltitqATOob5DVNbSq3hoSAfvpzckRNX0nh80VEycgtM0k+tMgQnrqTxyPdHcba3Zu2snvi7O6otqVYxuMlgbHQ2NWN6SGeljApuhsO5dWqrMTlSSrbFbqNbg26413FXW06tYlxHb76Z0omz19J59Iej3MrON3oftcoQbDxznfpOtqyd1RMft9qdZF4NXGxd6OPdh+2x29HLGjC33moseLWDvf+GItM8qVkKF1MuEpcZp00LqURwu4YseLQLEYlZnIq7ZfT2a5UheGd0a9Y/25tGdeuoLaXWEuwfTFJOEicTT6otperodDDoH5AarUQnrcFsjdmKtc6awb6D1ZZSaxnS2ov9fx/IwBaeRm+7VhkCK53AzVFLMq8m/Rv3x97K/k83xGpP8xHg3QX2/hcK89RWYxL0Uk/IlRB6N+qNq53mXacm7k6myQtdqwyBhvo42DjQ36f/n9Erqz1CKDkt0uPg5DK11ZiEM8lnSLidoEUarcEYxRAIIUYIIcKFEJFCiDdKuS6EEHMN188KITqXt65GzWOE3whSc1M5lnBMbSnGoekg8O0J+/8HBTlqqzE6W2O2Ymdlx0CfgWpL0TARVTYEQggrYB4QDLQGpgghSsamDQYCDcdMYH4F6mrUMPp498HRxpGQ2BC1pRiHO6OCzBtKfuMaRJG+iO2x2+nXuB+ONpqXXU3FGCOCbkCkIe1kPrAaGFeizDhgmVQ4AtQVQjQsZ12NGoa9tT0DfQay48oOCmqKt41/X/Dvr6RAzb+tthqjEZoYSkpuCsP9hqstRcOEGMMQeAPF4wtfM5wrT5ny1AVACDFTCBEqhAhNTk6usmgNdQn2DyYzP5PDNw6rLcV4DHobbifDsYVqKzEa22K3Uce6Dv0a91NbioYJMYYhKC0zRckYAmWVKU9d5aSUC6WUQVLKIA8PLUx0dadnw5642LpU/4Q1xfHpBoHD4OBXkJuhtpoqU6AvYMeVHQz0GUgda83luiZjDENwDfAp9rkxcL2cZcpTV6MGYmNlw5AmQ9gdt5vcwly15RiPgW9BThocma+2kipz9MZR0vPS/8wnoVFzMYYhOA4ECiH8hRC2wMPA7yXK/A48bvAe6gGkSylvlLOuRg1lhN8Ibhfc5kD8AbWlGI9GnaDlaDj8DWSnqq2mSmyN2YqzjTO9vXurLUXDxFTZEEgpC4HngBAgDFgrpbwghJgthJhtKLYFiAYige+BZ+9Vt6qaNKoHXRt0xc3erWZND4EyKsjLVIxBNSWvKI9dV3cxyHcQtlbaJsyajrUxGpFSbkG52Rc/t6DYewnMKW9djdqBtc6aoU2GsiFyA9kF2TjY1JD4T15toM0DcGQB9HgWHKtfkLaD8QfJKsjSYgvVErSdxRqqMsJvBLlFueyJ26O2FOMy4E0ozFHyZFdDtsVso65dXbo17Ka2FA0zoBkCDVXp7NUZzzqeNSf20B08mkP7yXD8B8hMUFtNhcguyGbPtT0MbTIUG52N2nI0zIBmCDRU5U6ikwPxB8jIr/4ul3+h/+ugL1RCT1Qj9sXvI6cwR/MWqkVohkBDdYL9gynQF7D76m61pRgXtwDo+AicWAK34u5b3FIIiQnBvY47Xby6qC1Fw0xohkBDddq5t8PbyZutsTXMewig32vK675P1dVRTrLys9h3bR/D/YZjpbNSW46GmdAMgYbqCCEY7jecI9ePkJabprYc41LXB7o8AadXKAlsLJzdcbvJ1+dr00K1DM0QaFgEwf7BFMki/rj6h9pSjE/fV0BnrSSvsXC2xW6joWND2nu0V1uKRkn0eji90iQJkDRDoGERtKjXAj8Xv5q3uQzAuQF0nQ5n10ByuNpqyuRW7i0OXT/EcL/h6IR2a7A4LqyH356BcOP/j2i/bQ2LQAjBSP+RhCaEkng7CN51XgAAHzZJREFUUW05xqfPS2DjALs/UltJmey4qmSNG+k/Um0pGiUpKlD+drzaQquxRm9eMwQaFkOwfzASWfP2FICyu7jnHLi4Aa6fUltNqWyJ3oK/qz8t3VqqLUWjJHfWmAa9Azrj37Y1Q6BhMfi5+tGmfhs2R29WW4pp6DkH6tSDXR+qreQuEm4nEJoYykj/kQhRWnR4DdUoyIU9/4HG3aC5aRIEaYZAw6IY6T+SsNQwotMt38Omwti7KlNEkX9A7EG11fyFO2sz2rSQBRK6CDKvw+B3lbSoJkAzBBoWxQj/EQhEzVw0Bug6A5wawK5/gSw1B5MqbInZQjv3dvi6+KotRaM4eZnKzvSAAUo6VBOhGQINi8LTwZNuDbqxJXoL0oJulEbD1gH6vwZXDysjAwsg6lYUl1IvaaMBS+TIfMhOgUHvmrQbzRBoWBwjA0ZyNfMqF1JqaGqKTo9D3Saw8wPFN1xltsRsQSd0WoJ6SyM7FQ59rSQ6amzacB9VMgRCCDchxA4hRIThtV4pZXyEELuFEGFCiAtCiBeKXXtPCBEvhDhtOLRHEg0G+w7GRmdTcxeNrW2V5DUJZyFM3YR8Ukq2RG+hW4NueDhoucAtioNfKlNDA/9h8q6qOiJ4A9gppQwEdho+l6QQeEVK2QroAcwRQrQudv0LKWVHw6ElqNHA1c6Vvt592Ra7jSJ9kdpyTEO7h8CjpeIbXlSomoxzN89xLeuaNi1kaWQmwNGF0H4SeLW+f/kqUlVDMA5Yani/FBhfsoCU8oaU8qThfSZKSkrvKvarUcMZFTCKmzk3OZ54XG0ppkFnBYPehpuXlR3HKrElZgu2OluGNBmimgaNUtj3GegLYEBpz9bGp6qGwMuQhB7Dq+e9Cgsh/IBOwNFip58TQpwVQiwubWpJo3bSr3E/HG0c2RJdgweJLUcrye73/Nsk8WPuR6H+/9q78/ioqruP459fNpYQwk5YwhKCgiyC7IKGVSEoCVafCi7U+ohStGIfq1itUnEB24oLBQW1aoW6la3KIqAJIKBE2fewBwKEYAlLyPp7/riTGmPCTJjM3FnO+/Wa12z33vNlSOaXe++55xSy9MBSEmITiIqI8nr7RgV+OGgNXX7N3dZQ5l7gtBCIyAoR2VbOLakyDYlILeBfwARVLZmBZCbQBugCZAIVzuAhImNFJE1E0rKysirTtOGHqodVZ1CLQaw4tIK8Iu9/SXqFiHWl6JnD8N17zpevYt8e/5bsi9nmsJCvSZlq7TGWDGHuBU4LgaoOVtWO5dwWAidEpAmA4/5kedsQkXCsIjBHVeeV2vYJVS1S1WJgNlDhBKmqOktVu6tq94YNzUmtYDC89XDOFpxlTcYau6N4TpuB0LIfrHoJ8s55tenF+xdTK7wW1zX3XP90o5JO7oQtH1qDFNZu6rVm3T00tAgY43g8BlhYdgGxrld/G9ipqi+Xea9JqacjgW1u5jECSM8mPalXvR6fHwjQ3kNg7RUMngTns2DddK81e7HwIisOr2Bwy8FUC63mtXYNJ1ZMgogo6Pc7rzbrbiGYAgwRkb3AEMdzRKSpiJQc3O0L3AUMLKeb6EsislVEtgADgEfczGMEkLCQMIa2GkrqkVTO5Xv3r2Wviu1hjSj59Wtwrtyd6iq3+uhqzhecN4eFfMnBr2HPUug3ASLre7VptwqBqmar6iBVbeu4P+14/ZiqJjoer1FVUdXOZbuJqupdqtrJ8d6IkhPPhlEiMS6R/OJ8Vh5eaXcUzxr0DBRehNSpXmlu8f7F1K9en54xFR6NNbxJFZY/DVFNofc4rzdvriw2fFrnBp1pVqsZiw8EcO8hgAbx1pSW370L2fs82lROfg6rMlYxrPUwMy+xr9ixEI6mWRcahtfwevOmEBg+rWTCmvWZ6zmVe8ruOJ7VfyKEVoOVf/JoMysPrSS/ON8cFvIVRQXW/3nD9tBltC0RTCEwfN7wuOEUazFLDwTghDWl1WoE1z5k/XV4xHMX0n1+4HNio2Lp2KCjx9owKuG7d61JZwZPsrqN2sAUAsPntanThnb12vHv/f+2O4rnXfsgRDayjhd7YPTV4+eP823mtwyPG24moPEFeWetCwpb9vPYpDOuMIXA8AvJ8cnsyN7Bnh/22B3Fs6pFQf/H4fBaqwdJFVu0bxGKMqJN1c97a1yGta/DhVMw5FmPTTrjClMIDL+Q2DqRsJAwFqQvsDuK510zBurHW33Kq3BAOlVlYfpCujfuTmxUbJVt17hMZ0/A2ulwVbLHh5l2xhQCwy/UrV6X/s378/n+zykoLrA7jmeFhlvTEmbtgs1zq2yz35/8nsNnD5Mc/7OxIQ07pE6Bojzr/9pmphAYfiM5PpnTF0+zKmOV3VE8r/0IaN4DvnoB8i9UySYXpC+gZlhNhrQcUiXbM9xwaq81vlS3e6B+G7vTmEJg+I++zfrSoEaD4Dg8JGIdNz6bCetnuL25CwUXWHZwGTe2upGa4TWrIKDhlhWTrOsFEh63OwlgCoHhR8JCwrg57mZWZ6wO/GsKAFpeC1cmwppX3B564otDX5BbmGsOC/mCQ2th12fQ92Go5RsDaJpCYPiV5PhkirQocKexLGvIZGvoiZXPurWZhekLaVm7JV0bda2iYMZlKS6CJY9D7ebQ50G70/yXKQSGX4mrE0fnBp1ZkL4A9UA/e5/TIB563Q8bP4BjGy9rE0fOHiHtRBpJbZLMtQN22/iBNVf1kD9BhO8cojOFwPA7SfFJpP8nnR3ZO+yO4h0Jj0HN+rBk4mVdZLYwfSGCcHObmz0QznDZxTPWnl1sb+j4C7vT/IQpBIbfGdp6KNVCqzE/fb7dUbyjejQM+iMcWQ/b5zlfvpRiLWbRvkX0adqHmMgYDwU0XLLqz3AhG4ZNsfXisfKYQmD4ndoRtRnYYiCLDywO3Gksy+p6F8R0gi+erlR30m8yvyHzfKY5SWy3U+mw/g3oeoc1T7WPMYXA8EvJ8cmczT/LV4e/sjuKd4SEwtCpkJMBa19zebUF6QuIiohiYIuBHgxnOPXFkxBWHQbaf/FYedwqBCJST0SWi8hex33dCpY76JiJbJOIpFV2fcMoq1dML2IiY4LjmoISrfpawxGseQXOZDhdPCc/h5WHV5LYOtFMR2mn9BXWuFEJv4eoxnanKZe7ewQTgZWq2hZY6XhekQGO2cm6X+b6hvFfoSGhjGgzgnWZ6zhx/oTdcbxnyLOAwvJnnC667OAy8oryzGEhOxUVwNI/QN3W0OsBu9NUyN1CkAS853j8HlDZnzh31zeCWHKbZIq1ODiGpy5Rt6U1Z8G2T+Hw+ksuuiB9AfF14ulQv4OXwhk/s+FtOLUbbnwBwnx3r8zdQtC4ZJ5hx32jCpZT4AsR+U5Exl7G+ojIWBFJE5G0rKwsN2MbgSC2dizdGncLnmsKSvR7xJrbdsnjUFxc7iL7/7OfLVlbSI5PNtcO2OV8NqS8AHED4Mphdqe5JKeFQERWiMi2cm5JlWinr6peAwwDxovI9ZUNqqqzVLW7qnZv2NA3Lss27Jccn8yhnENsytpkdxTviYi0ZrPK3ASb5pS7yIJ9CwiVUIbHDfdqNKOUlBcg7xwMfdHnuouW5bQQqOpgVe1Yzm0hcEJEmgA47ssdEEVVjznuTwLzgZ6Ot1xa3zAqckPLG6gZVpNPdn9idxTv6nSbNTrpiklw4fRP3sovymdh+kKua34dDWo0sCdfsDu2EdLegR73QqP2dqdxyt1DQ4uAMY7HY4CFZRcQkUgRiSp5DNwAbHN1fcO4lJrhNUmKT2LpwaVk52bbHcd7QkLgpmmQ+4M1rWUpyw4u4/TF04xqN8qmcEGuqBD+/TBENoQBT9qdxiXuFoIpwBAR2QsMcTxHRJqKyGLHMo2BNSKyGfgW+FxVl15qfcOojFHtRlFQXMCnez61O4p3xXSCPuNh4z/g4NeANQvZnJ1zaB3dmj5N+tgcMEh9OwsyN8OwqVCjjt1pXOJWIVDVbFUdpKptHfenHa8fU9VEx+P9qnq149ZBVZ93tr5hVEbr6Nb0bdqXj3Z/FPizl5XVfyJEt4DPJkBhHltObWF79nZGtxttThLb4T9H4MvnoO0N1jUffsJcWWwEhNHtR5OVm8WKQyvsjuJdEZFw08twag98/Spzds6hVngtMzm9HVRh8e8BhcS/+PwJ4tJMITACQr9m/WgR1YI5O8vvRRPQ2g6BDiM5+fXLLD/4BSPbjjSzkNlh579hzxLo/4R1vYcfMYXACAghEsLo9qPZnLWZbae2OV8h0Aydwse1oygqLmLUlbfbnSb4XMyBJY9B407Qe5zdaSrNFAIjYCS1SaJmWE3m7pxrdxSvy69Zj0/q1OX63Fxi96+xO07w+XIynD0ON78KoeF2p6k0UwiMgFErohbJ8cksObgkOOY0LmXpwaWcLspldERTWPakdVWr4R0Z38G3s6HnfdC8m91pLospBEZAGdVuFIXFhUHVlbSky2hcdBx9hs+EvBz44im7YwWHogLrmoGoGBj4R7vTXDZTCIyA0iq6Ff2a9ePj3R9TUBQcXUk3Z21mR/YOq8toTAe49reweS7sT7U7WuBbPxNObIVhL0H12nanuWymEBgBZ3Q7qyvp8kPL7Y7iFXN3ziUqPOrHOYkTHrOGPV70EOSdtTdcIMvaDV89D1cmQnv/ng/aFAIj4PRt1peWtVsyZ1fgdyU9cf4Eyw8t/2mX0fAakDwTzhyxJrw3ql5hPsy7D8JrWkN9+NE1A+UxhcAIOCESwqh2o9iStYWtWVvtjuNRH+/5mCIt4vZ2ZbqMtuxjDVe96QPYsciecIEsdYo1jMSI16zzA37OFAIjICW1SSIyPJK5uwK3K2leUR6f7vmUhOYJxEbF/nyBhInQ5GrrZObZ494PGKgOrYM106DrnX5/SKiEKQRGQCrpSrr04NKA7UpaMsro6Pajy18gLAJueQsKcmHheGsIBMM9F3Ng/lio0wKGBs4YmaYQGAFrVLtRFBUX8cGOD+yOUuWKtZh3t79LXHQcvZv0rnjBhlfADZOtCdQ3vOW9gIFq6UQ4kwEjZ0G1KLvTVBlTCIyA1bJ2S4a2HsrcXXMDbq9g6YGl7P1hL/d3vt/5KKM9/hfiB1vXFmTt9k7AQLRjoTUj3HX/By162Z2mSplCYAS08V3Gk1+Uz9tb37Y7SpUpLC5kxuYZtK3blqGthzpfQQSS/mb1cJl3n9XjxaicnEzrXEvTrpDwuN1pqpwpBEZAa1m7JUnxSXy0+yMyz2XaHadKLNq3iEM5h3iwy4OEiIu/wlExVg+XzM2Q8qJnAwaa4mJY+BsouAi3zPbLsYSccasQiEg9EVkuInsd93XLWeZKEdlU6pYjIhMc700SkaOl3kt0J49hlOeBzg8A8OaWN21O4r78onze2PwGnRp0YkDsgMqt3P5mq6fLmmlwaK1nAgaiDbNh35dw4/PQoK3daTzC3T2CicBKVW0LrHQ8/wlV3a2qXVS1C9ANuIA1gX2JaSXvq+risusbhrua1GrCbVfcxoL0BRzKOWR3HLd8sucTMs9n8lDXhy5vBrKhU6BuK/jkHutwh3Fph7+xBvFreyN0/7XdaTzG3UKQBLznePwe4GxutkHAPlX1799Gw+/c1/k+IkIjmLFpht1RLtuFggvM3jKbHjE9Lt1T6FKqRcHtc6yhJz660zrcYZTvzFHrM6oTC7e86fdXD1+Ku4WgsapmAjjuGzlZ/nbgn2Vee1BEtojIO+UdWiohImNFJE1E0rKystxLbQSdBjUaMLrdaJYcWMLeH/baHeeyzN01l+yL2fy262/dm4+4cQcYOROOpsHnvzPXF5SnIBc+ugMKLsDt/4QaFX41BQSnhUBEVojItnJuSZVpSEQigBHAJ6Vengm0AboAmcBfK1pfVWepandV7d6wYcPKNG0YANzT8R4iwyOZvnG63VEqLSc/h79v+zvXNbuOLo26uL/Bq5Ks3i+b5sA3/n/upEqpWj2Ejm20Tg43amd3Io8Lc7aAqg6u6D0ROSEiTVQ1U0SaACcvsalhwPeqeqLUtv/7WERmA5+5FtswKi+6WjRjOozhb5v+xrZT2+jYoKPdkVz2/vb3ycnP4aGuD1XdRhMmwvFtsOwP1pddXP+q27Y/W/c32PIRDHgK2gVH/xV3Dw0tAsY4Ho8BFl5i2VGUOSzkKB4lRgJBONms4U13XXUXdavV5fWNr9sdxWWnL57mHzv+wQ0tb6B9/fZVt+GQEOvYd4Mr4JNfwekDVbdtf5W+Epb/0dpjuv5Ru9N4jbuFYAowRET2AkMczxGRpiLy3x5AIlLT8f68Muu/JCJbRWQLMAB4xM08hnFJkeGR3NvpXtYeW8uG4xvsjuOSd7a+w8Wii4zvOr7qN15y8liL4cPRkHeu6tvwF9n74NN7oGF7SJoR0CeHy3KrEKhqtqoOUtW2jvvTjtePqWpiqeUuqGp9VT1TZv27VLWTqnZW1RElJ54Nw5N+eeUvaVSjEa9vfB318ROlJy+c5MPdH3JT3E3ERcd5ppH6beDWv0PWLlgwzrqAKtjknbUKoYTAqLlQrZbdibzKXFlsBJ3qYdUZ23ksG09u5MvDX9od55Kmb5xOkRYx7upxnm0ofhAMmQw7F8HKScHVk6gwz7qu4tReuO096zqLIGMKgRGUbml7C+3qtePZ9c+SnZttd5xypRxJYX76fO6+6m6aRzX3fIN9xlsXTX39Knz1gufb8wWF+db5kfTlcNPLEJdgdyJbmEJgBKXw0HBe7Pci5/LPMWndJJ87RJSdm80za5/hyrpXMr6LB84NlEcEEv8K19wNq16ClKneadcuRQXWOYHdiyHxL9DtV3Ynso0pBEbQiq8bz4RuE0g5ksK8vWX7MdhHVZm0bhLn8s/x4nUvEhEa4b3GQ0Lgplehyx2Q8gKs+rP32vamogL49New6zMY9hL0vM/uRLYyhcAIane0v4NeTXoxdcNUjuQcsTsOAPP2ziPlSAoPX/MwbevaMMhZSAiMeB063w5fPgerX/Z+Bk8qKrSG4965CG58AXrdb3ci25lCYAS1EAnhub7PERYSxhNrnqCwuNDWPEdyjjB1w1R6xfTizqvutC9ISCgkz4BOt8HKP8HXr9mXpSoVF8H8+2H7fOvkeB8vHXbzcaYQGEEvJjKGp3o9xeaszbyz7R3bchQWF/LEmicICwnjuX7PuT7XgKeEhELyG9DhFusiq3X+O2AfYBWBBb+BbZ/C4EnQ97d2J/IZphAYBpAYl8iwVsOYuWkm209ttyXD21vfZnPWZp7q9RQxkTG2ZPiZ0DBrvJ2rkmDZE1ZvIn+8ziDvnHVOYMuHMPAp6GeuXS3NFALDcHiy95PUq1GPJ9Y8QW5hrlfb3n5qO29sfoNhrYeRGOdj49uEhsEv3oarR0PqVJh7G1w4bXcq12XtgbcGWecEhkyG639vdyKfYwqBYThEV4vm+X7Pc+DMAaZ9N81r7eYW5jJx9UTq16jPk72e9Fq7lRIabp0zGP4y7E+FWQlwbJPdqZzbvgBmD4Dzp+Cu+eZwUAVMITCMUno36c2d7e/kn7v+yce7P/Z4e3lFefxh9R84mHOQ5/o9R3S1aI+3edlEoMe98Oul1vH2t2+A79+3O1X5igqtmcU+GQMN28H9q8zoqpdgCoFhlDGh2wQSmicwef1kXvv+NY9dbHYm7wxjvxjLisMreKzHY5c/65i3Ne9ufbG27AOLHoKFD/rWTGdnT8D7I2DddOjxv3DPYohuZncqn2YKgWGUUS20Gq8MeIVbr7iV2Vtn8+SaJykoKqjSNo6dO8bdS+5m66mt/Pn6P3PXVXdV6fY9LrIB3DkPrvs/2PgPeOcGOL7V3kyqsOcLePN6OPo9jJwFw/8KYdXszeUHnE5MYxjBKCwkjKd7P01MzRimb5pOVm4W0/pPo1aE+6NS7jq9i3ErxpFXmMebQ96kR0yPKkhsg5BQGPQ0NOtujVr6Rj/oeCsM+IM1oqk3HV4PK/4Eh9dC/Xi4818Q4z8TD9nN7BEYRgVEhPuvvp/JfSeTdjyNXy39FScvXGoSPufWHlvLmCVjCAsJ4/1h7/tvESitXSI8vAn6/c4at2d6D2uqx5xjnm/7+FaY8z/wzo1wep81ZtC4daYIVJL42mBbrujevbumpaXZHcMIImuPruWRlEeIrhbNzMEzaVOn8n/xLtq3iGe+foa4OnHMGDSDxpGNPZDUZmdPwOq/QNrfrT2GnvdZBaJmvaptJ3ufdU3Dtk+hejT0nWANFRERWbXtBBgR+U5Vu//sdXcKgYjcBkwC2gM9VbXcb2cRGQq8CoQCb6lqyUxm9YCPgFbAQeB/VPUHZ+2aQmDYYWf2Tn6z8jfkFuYyuMVg+sf2p0/TPkSGV/zlc/z8cVKPpJKSkcKao2vo1aQX0/pPIyoiyovJbfDDQUiZAps/tL6c2wy0eu20GQB1W1d+9q/iYjixFfanWLcDqyA0Ano9YHUJrVG3yv8JgchThaA9UAy8CTxaXiEQkVBgD9ZUlRnABmCUqu4QkZeA06o6RUQmAnVV9XFn7ZpCYNjl6LmjvPb9a6zOWM3ZgrOEh4TTI6YHCc0TSIhNoElkE7ad2kZqRiqpR1LZ/cNuAGKjYhnaaijjrh5HeGi4zf8KLzq505oMft9XkJNhvVanhVUU4vpDi2shvEb56+aetr7w96dY1y7kOi5ia3QVtB0CvcdDVADuVXmQRwpBqY2nUHEh6ANMUtUbHc+fAFDVF0VkN9BfVTMdE9mnqOqVztozhcCwW0FxAZtObiL1SCqpGakczDkIWHMiny84T4iE0KVhF/rH9ieheQKto1sjQTQH7s+owun9sP+rH/+iv3jG6WoARDX9sXDEJUCUjwy/4YcqKgTe6DXUDCg9vm8G0MvxuHHJPMWOYtCooo2IyFhgLECLFi08FNUwXFOyJ9AjpgeP9niUg2cOkpqRyoEzB+ge051+TftRp3odu2P6DhGrJ1H9Nlbf/uIiyNwEGd9BRSO+hteAln2hQdugmkjeDk4LgYisAMorwU+q6kIX2ijvf7DSuyGqOguYBdYeQWXXNwxPahXdilbRreyO4T9CQqFZN+tm2M5pIVDVwW62kQHElnreHCjpV3ZCRJqUOjTkXt88wzAMo9K8cR3BBqCtiLQWkQjgdmCR471FwBjH4zGAK3sYhmEYRhVyqxCIyEgRyQD6AJ+LyDLH601FZDGAqhYCDwLLgJ3Ax6paMuD7FGCIiOzF6lU0xZ08hmEYRuWZC8oMwzCCREW9hswQE4ZhGEHOFALDMIwgZwqBYRhGkDOFwDAMI8j55cliEckCDl3m6g2AU1UYx9v8Ob8/Zwf/zu/P2cHkryotVbVh2Rf9shC4Q0TSyjtr7i/8Ob8/Zwf/zu/P2cHk9zRzaMgwDCPImUJgGIYR5IKxEMyyO4Cb/Dm/P2cH/87vz9nB5PeooDtHYBiGYfxUMO4RGIZhGKWYQmAYhhHkArYQiMhQEdktIumO+ZDLvi8i8prj/S0ico0dOcvjQvZ2IrJORPJE5FE7Ml6KC/nvcHzmW0RkrYhcbUfO8riQPcmRe5OIpIlIPztyVsRZ/lLL9RCRIhG51Zv5nHHh8+8vImccn/8mEXnajpzlceWzd+TfJCLbRSTV2xkrpKoBdwNCgX1AHBABbAauKrNMIrAEawa13sA3dueuRPZGQA/geay5om3PXcn81wJ1HY+H+dlnX4sfz611BnbZnbsy+Ust9yWwGLjV7tyV/Pz7A5/ZnfUys9cBdgAtHM8b2Z275BaoewQ9gXRV3a+q+cCHQFKZZZKA99WyHqjjmCXNbk6zq+pJVd0AFNgR0AlX8q9V1R8cT9djzVrnC1zJfk4dv8VAJJcx7aoHufJzD/AQ8C98b0ZAV/P7IleyjwbmqephsH6PvZyxQoFaCJoBR0o9z3C8Vtll7OCruVxV2fz3Yu2Z+QKXsjsmZNoFfA782kvZXOE0v4g0A0YCb3gxl6tc/dnpIyKbRWSJiHTwTjSnXMl+BVBXRFJE5DsRudtr6ZxwOmexn5JyXiv7l5sry9jBV3O5yuX8IjIAqxD4ynF2l7Kr6nxgvohcD0wG3J3Xu6q4kv8V4HFVLRIpb3FbuZL/e6zxcs6JSCKwAGjr8WTOuZI9DOgGDAJqAOtEZL2q7vF0OGcCtRBkALGlnjcHjl3GMnbw1Vyucim/iHQG3gKGqWq2l7I5U6nPXlVXiUgbEWmgqr4woJgr+bsDHzqKQAMgUUQKVXWBdyJektP8qppT6vFiEZnhI5+/q985p1T1PHBeRFYBVwO2FwLbT1J44oZV4PYDrfnxxE2HMssM56cni7+1O7er2UstOwnfO1nsymffAkgHrrU772Vkj+fHk8XXAEdLntt9q8zPjmP5d/Gtk8WufP4xpT7/nsBhX/j8XczeHljpWLYmsA3oaHd2VQ3MPQJVLRSRB4FlWGfz31HV7SLygOP9N7B6TCRifSFdAO6xK29prmQXkRggDagNFIvIBKweCjkVbthLXPzsnwbqAzMcf5kWqg+MzOhi9l8Ad4tIAZAL/FIdv+V2czG/z3Ix/63AOBEpxPr8b/eFz9+V7Kq6U0SWAluAYuAtVd1mX+ofmSEmDMMwglyg9hoyDMMwXGQKgWEYRpAzhcAwDCPImUJgGIYR5EwhMAzDCHKmEBiGYQQ5UwgMwzCC3P8DVMxMMKiBxK8AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N=45\n",
"dx=L/(N+1)\n",
"k = T/dx**2/mu\n",
"A = k*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(A)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"w1=np.sqrt(e[0].real)/2/np.pi\n",
"w2=np.sqrt(e[1].real)/2/np.pi\n",
"w3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"fre1.append(w1)\n",
"fre2.append(w2)\n",
"fre3.append(w3)\n",
"\n",
"print('1st natural frequency is %1.2f Hz'%(w1),'for',N,'nodes')\n",
"print('2nd natural frequency is %1.2f Hz'%(w2),'for',N,'nodes')\n",
"print('3rd natural frequency is %1.2f Hz'%(w3),'for',N,'nodes')\n",
"f1=np.sqrt(e.real[0])/2/np.pi\n",
"fn=np.sqrt(e.real[-1])/2/np.pi\n",
"x=np.linspace(0,L,N)\n",
"y0=0.1*np.sin(np.pi*x/L)\n",
"plt.plot(x,v[:,0]/np.max(v[:,0]),label='1st')\n",
"plt.plot(x,-v[:,1]/np.max(v[:,1]),label='2nd')\n",
"plt.plot(x,-v[:,2]/np.max(-v[:,2]),label='3rd')\n",
"plt.title('Mode Shape');"
]
},
{
"cell_type": "code",
"execution_count": 197,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1st natural frequency is 196.06 Hz for 60 nodes\n",
"2nd natural frequency is 391.98 Hz for 60 nodes\n",
"3rd natural frequency is 587.65 Hz for 60 nodes\n"
]
},
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Mode Shape')"
]
},
"execution_count": 197,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N=60\n",
"dx=L/(N+1)\n",
"k = T/dx**2/mu\n",
"A = k*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(A)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"w1=np.sqrt(e[0].real)/2/np.pi\n",
"w2=np.sqrt(e[1].real)/2/np.pi\n",
"w3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"fre1.append(w1)\n",
"fre2.append(w2)\n",
"fre3.append(w3)\n",
"\n",
"print('1st natural frequency is %1.2f Hz'%(w1),'for',N,'nodes')\n",
"print('2nd natural frequency is %1.2f Hz'%(w2),'for',N,'nodes')\n",
"print('3rd natural frequency is %1.2f Hz'%(w3),'for',N,'nodes')\n",
"f1=np.sqrt(e.real[0])/2/np.pi\n",
"fn=np.sqrt(e.real[-1])/2/np.pi\n",
"x=np.linspace(0,L,N)\n",
"y0=0.1*np.sin(np.pi*x/L)\n",
"plt.plot(x,v[:,0]/np.max(v[:,0]),label='1st')\n",
"plt.plot(x,-v[:,1]/np.max(v[:,1]),label='2nd')\n",
"plt.plot(x,-v[:,2]/np.max(-v[:,2]),label='3rd')\n",
"plt.title('Mode Shape');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From our results, we can see that the function seems to fully converge when there are more than 30 nodes."
]
},
{
"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": 227,
"metadata": {},
"outputs": [],
"source": [
"rho = np.array([401,708,1140,2333,4466,6790])*10**-6 #kg/m\n",
"Tl = np.array([7.28,7.22,7.32,8.41,9.03,7.71])*9.81 # Newtons\n",
"L=0.64 # 64-cm guitar string\n",
"T=71.81 # N\n",
"mu=1.14e-3 # kg/m\n",
"N = 30\n",
"dx=L/(N+1)\n",
"\n",
"ke = Tl[0]/dx**2/rho[0]\n",
"kb = Tl[1]/dx**2/rho[1]\n",
"kg = Tl[2]/dx**2/rho[2]\n",
"kd = Tl[3]/dx**2/rho[3]\n",
"ka = Tl[4]/dx**2/rho[4]\n",
"ke2 = Tl[5]/dx**2/rho[5]\n",
"\n",
"Ae = ke*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(Ae)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"ew1=np.sqrt(e[0].real)/2/np.pi\n",
"ew2=np.sqrt(e[1].real)/2/np.pi\n",
"ew3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"Ab = kb*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(Ab)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"bw1=np.sqrt(e[0].real)/2/np.pi\n",
"bw2=np.sqrt(e[1].real)/2/np.pi\n",
"bw3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"Ag = kg*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(Ag)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"gw1=np.sqrt(e[0].real)/2/np.pi\n",
"gw2=np.sqrt(e[1].real)/2/np.pi\n",
"gw3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"Ad = kd*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(Ad)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"dw1=np.sqrt(e[0].real)/2/np.pi\n",
"dw2=np.sqrt(e[1].real)/2/np.pi\n",
"dw3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"Aa = ka*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(Aa)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"aw1=np.sqrt(e[0].real)/2/np.pi\n",
"aw2=np.sqrt(e[1].real)/2/np.pi\n",
"aw3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"Ae2 = ke2*(np.diag(np.ones(N)*2)-np.diag(np.ones(N-1),-1)-np.diag(np.ones(N-1),1))\n",
"e,v=linalg.eig(Ae2)\n",
"isort = np.argsort(e.real)\n",
"e=e[isort]\n",
"v=v[:,isort]\n",
"e2w1=np.sqrt(e[0].real)/2/np.pi\n",
"e2w2=np.sqrt(e[1].real)/2/np.pi\n",
"e2w3=np.sqrt(e[2].real)/2/np.pi\n",
"\n",
"freq = np.array([ew1,ew2,ew3,bw1,bw2,bw3,gw1,gw2,gw3,dw1,dw2,dw3,aw1,aw2,aw3,e2w1,e2w2,e2w3])"
]
},
{
"cell_type": "code",
"execution_count": 259,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The first 3 natural frequencies of the E string are...\n",
"329.5582417096158 Hz\n",
"658.2705121393185 Hz\n",
"985.2930116053444 Hz\n",
"\n",
"The first 3 natural frequencies of the B string are...\n",
"246.99641153429778 Hz\n",
"493.35878682265803 Hz\n",
"738.4547171810427 Hz\n",
"\n",
"The first 3 natural frequencies of the G string are...\n",
"195.99355421041057 Hz\n",
"391.4839957781058 Hz\n",
"585.969503543348 Hz\n",
"\n",
"The first 3 natural frequencies of the D string are...\n",
"146.85180950461066 Hz\n",
"293.3266525203832 Hz\n",
"439.0485302260604 Hz\n",
"\n",
"The first 3 natural frequencies of the A string are...\n",
"109.98239925642233 Hz\n",
"219.68247527133062 Hz\n",
"328.81862952292795 Hz\n",
"\n",
"The first 3 natural frequencies of the second E string are...\n",
"82.41968979777636 Hz\n",
"164.6278094339143 Hz\n",
"246.41333184434473 Hz\n"
]
}
],
"source": [
"print('The first 3 natural frequencies of the E string are...')\n",
"print(ew1,'Hz')\n",
"print(ew2,'Hz')\n",
"print(ew3,'Hz')\n",
"print('')\n",
"print('The first 3 natural frequencies of the B string are...')\n",
"print(bw1,'Hz')\n",
"print(bw2,'Hz')\n",
"print(bw3,'Hz')\n",
"print('')\n",
"print('The first 3 natural frequencies of the G string are...')\n",
"print(gw1,'Hz')\n",
"print(gw2,'Hz')\n",
"print(gw3,'Hz')\n",
"print('')\n",
"print('The first 3 natural frequencies of the D string are...')\n",
"print(dw1,'Hz')\n",
"print(dw2,'Hz')\n",
"print(dw3,'Hz')\n",
"print('')\n",
"print('The first 3 natural frequencies of the A string are...')\n",
"print(aw1,'Hz')\n",
"print(aw2,'Hz')\n",
"print(aw3,'Hz')\n",
"print('')\n",
"print('The first 3 natural frequencies of the second E string are...')\n",
"print(e2w1,'Hz')\n",
"print(e2w2,'Hz')\n",
"print(e2w3,'Hz')"
]
},
{
"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": 261,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0. 16.51416871 30.91131463 ... -2.15485094 -6.39047228\n",
" -8.53299576]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
" <source 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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": 261,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"N = 100000\n",
"dt = 3/N\n",
"t = np.linspace(0,10,N)\n",
"for i in range(18):\n",
" sin += np.sin(2*np.pi*freq[i]*t)\n",
"print(sin)\n",
"samplerate = 1/dt\n",
"Audio(data = sin, rate = samplerate)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}