"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La transformación de Yukovski es: $$\\tau=t+\\frac{a^{2}}{t}$$\n",
"\n",
"Los parámetros del problema son los del siguiente bloque, puedes cambiarlos más adelante:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Datos para el perfil de Yukovski\n",
"# Parámetro de la transformación de Yukovski\n",
"a = 1\n",
"\n",
"# Centro de la circunferencia\n",
"landa = 0.2 # coordenada x (en valor absoluto)\n",
"delta = 0.3 # coordenada y\n",
"\n",
"t0 = a * (-landa + delta * 1j) # centro: plano complejo\n",
"\n",
"# Valor del radio de la circunferencia\n",
"R = a * np.sqrt((1 + landa)**2 + delta**2)\n",
"\n",
"# Ángulo de ataque corriente incidente\n",
"alfa_grados = 0\n",
"alfa = np.deg2rad(alfa_grados)\n",
"\n",
"#Velocidad de la corriente incidente\n",
"U = 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3. Perfil de Yukoski a partir de una circunferencia."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Función transformación de Yukovski"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__Se trata de definir una función que realice la transformación de Yukovski.__ Esta función recibirá el parámetro de la transformación, $a$ y el punto del plano complejo $t$. Devolverá el valor $\\tau$, punto del plano complejo en el que se transforma $t$."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def transf_yukovski(a, t):\n",
" \"\"\"Dado el punto t (complejo) y el parámetro a\n",
" a de la transformación proporciona el punto\n",
" tau (complejo) en el que se transforma t.\"\"\"\n",
" tau = t + a ** 2 / t\n",
" return tau"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# aeropython: preserve\n",
"#comprobamos que la función está bien programada\n",
"#puntos del eje real siguen siendo del eje real\n",
"err_message = \"La transformación de Yukovski no devuelve un resultado correcto\"\n",
"np.testing.assert_equal(transf_yukovski(1, 1+0j), 2+0j, err_message)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Circunferencia"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ahora queremos transformar la circunferencia de radio $R$ con centro en $t_0$ usando la función anterior:\n",
"\n",
"1. __Creamos `N` puntos de la circunferencia__ de modo que __en `Xc` estén las coordenadas $x$ y en `Yc` estén las coordenadas $y$__ de los puntos que la forman. Controla el número de puntos mediante un parámetro que se llame `N_perfil`.\n",
" $$X_c = real(t_0) + R·cos(\\theta)$$\n",
" $$Y_c = imag(t_0) + R·sin(\\theta)$$\n",
"2. Una vez hayas obtenido los dos arrays `Xc` e `Yc`, __píntalos mediante un `scatter`__ para comprobar que todo ha ido bien.\n",
"3. Pinta también el __centro de la circunferencia__.\n",
"\n",
"Deberías obtener algo así:\n",
"\n",
"![](../images/circunferencia.png)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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6bNnIwtz3B/m0ZeXKlVvdfbSTddsGyMw3m+0Extz9fjM7Dhh398yulJldC3zN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\nUkQkhQKkiEgKBUgRkRQKkCIiKf4/nB66TY0qbnkAAAAASUVORK5CYII=\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"# Número de puntos de la circunferencia que \n",
"# vamos a transformar para obtener el perfil\n",
"N_perfil = 100\n",
"\n",
"#se barre un ángulo de 0 a 2 pi\n",
"theta = np.linspace(0, 2*np.pi, N_perfil)\n",
"\n",
"#se crean las coordenadas del los puntos\n",
"#de la circunferencia\n",
"Xc = np.real(t0) + R * np.cos(theta)\n",
"Yc = np.imag(t0) + R * np.sin(theta)\n",
"\n",
"#lo visualizamos\n",
"plt.figure(\"circunferencia\", figsize=(5,5))\n",
"plt.title('Circunferencia', {'fontsize':20})\n",
"plt.scatter(Xc, Yc)\n",
"plt.scatter(np.real(t0), np.imag(t0), color='orange', marker='x', s=100)\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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0dNDR0cGFCxfo7+9XH2dMMpkMXV1drF69OulSJCIFpkTW2tpKa2sr4+PjHD9+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\nYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# aeropython: preserve\n",
"# Lo visualizamos más bonito\n",
"plt.figure(\"circunferencia\", figsize=(5,5))\n",
"plt.title('Circunferencia', {'fontsize':20})\n",
"# Esto no tienes por qué entenderlo ahora \n",
"p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=3)\n",
"plt.gca().add_patch(p)\n",
"\n",
"plt.ylim(-1.5, 2)\n",
"plt.xlim(-2, 1.5)\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Transformación de cirunferencia a perfil"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ahora estamos en condiciones de __transformar estos puntos de la circunferencia (`Xc`, `Yc`) en los del perfil (`Xp`, `Yp`)__. Para esto vamos a usar nuestra función `transf_yukovski`. Recuerda que esta función recibe y da números complejos. ¿Saldrá un perfil?"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Puntos_perfil = transf_yukovski(a, Xc+Yc*1j)\n",
"Xp, Yp = np.real(Puntos_perfil) , np.imag(Puntos_perfil)\n",
"\n",
"#lo visualizamos\n",
"plt.figure(\"perfil yukovski\", figsize=(10,10))\n",
"plt.title('Perfil', {'fontsize':20})\n",
"plt.scatter(Xp, Yp)\n",
"plt.grid()\n",
"plt.gca().set_aspect(1)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# aeropython: preserve\n",
"#lo visualizamos más bonito\n",
"plt.figure('perfil yukovski', figsize=(10,10))\n",
"plt.title('Perfil', {'fontsize':20})\n",
"\n",
"p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=3)\n",
"plt.gca().add_patch(p)\n",
"plt.gca().set_aspect(1)\n",
"\n",
"plt.xlim(-3, 3)\n",
"plt.ylim(-0.4,1)\n",
"plt.grid()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4. Flujo alrededor del cilindro"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para visualizar ahora el flujo alrededor del cilindro recurrimos al __potencial complejo__ de una _corriente uniforme_ que forme un ángulo $\\alpha$ con el eje $x$ _en presencia de un cilindro_ (aplicando el teorema del círculo) y se añade un torbellino con la intensidad adecuada para que se cumpla la hipótesis de Kutta en el perfil:\n",
"\n",
"\\begin{equation}\n",
"f(t)=U_{\\infty}\\text{·}\\left((t-t_{0})\\text{·}e^{-i\\alpha}+\\frac{R^{2}}{t-t_{0}}\\text{·}e^{i\\alpha}\\right)+\\frac{i\\Gamma}{2\\pi}\\text{·}ln(t-t_{0})=\\Phi+i\\Psi\n",
"\\end{equation}\n",
"\n",
"donde $\\Phi$ es el potencial de velocidades y $\\Psi$ es la función de corriente.\n",
"\n",
"$$\\Gamma = 4 \\pi a U (\\delta + (1+\\lambda) \\alpha)$$\n",
"\n",
"$\\Gamma$ es la circulación que hay que añadir al cilindro para que al transformarlo en el perfil se cumpla la condición de Kutta.\n",
"\n",
"Recordando que la función de corriente toma un valor constante en las líneas de corriente, sabemos que: dibujando $\\Psi=cte$ se puede visualizar el flujo.\n",
"\n",
"__Pintaremos estas lineas de potencial constante utilizando la función `contour()`, pero antes tendremos que crear una malla circular. Esto será lo primero que hagamos:__\n",
"\n",
"1. Crea un parámetro `N_R` cuyo valor sea el número de puntos que va a tener la malla en dirección radial. Desde otro punto de vista, esta parámetro es el número de círculos concéntricos que forman la malla.\n",
"2. Crea dos parámetros `R_min` y `R_max` que representen el radio mínimo y máximo entre los que se extiende la malla. El radio mínimo debe de ser el radio del círculo, porque estamos calculando el aire en el exterior del perfil.\n",
"4. La dirección tangencial necesita un sólo parámetro `N_T`, que representa el número de puntos que la malla tendrá en esta dirección. Dicho de otro modo, cuántos puntos forman los círculos concéntricos de la malla.\n",
"3. Crea un array `R_` que vaya desde `R_min` hasta `R_max` y que tenga `N_R` elementos. De manera análoga, crea el array `T_`, que al representar los ángulos de los puntos que forman las circunferencias, debe ir de 0 a 2$\\pi$, y tener `N_T` elementos.\n",
"4. Para trabajar con la malla, deberemos usar coordenadas cartesianas. Crea la malla: `XX, YY` van a ser dos matrices de `N_T · N_R` elementos. Cada elemento de estas matrices se corresponde con un punto de la malla: la matriz `XX` contiene las coordenadas X de cada punto y la matriz `YY`, las coordenadas y. \n",
"\n",
"La manera de generar estas matrices tiene un poco de truco, porque depende de ambos vectores.\n",
"Para cada elemento, $x = real(t_0) + R · cos (T) $ , $y = imag(t_0) + R · sin(T)$. \n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__Recuerda que:__\n",
"\n",
"* Los puntos sobre la circunferencia se transforman en el perfil.\n",
"* Los puntos interiores a la circunferencia se transforman en puntos interiores al perfil.\n",
"* Los puntos exteriores a la circunferencia se transforman en puntos exteriores al perfil. __Los puntos que nos interesan__."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"#se crea la malla donde se va pintar la función de corriente\n",
"# Dirección radial\n",
"N_R = 50 # Número de puntos en la dirección radial\n",
"R_min = R\n",
"R_max = 10\n",
"\n",
"# Dirección tangencial\n",
"N_T = 180 # Número de puntos en la dirección tangencial\n",
"\n",
"R_ = np.linspace(R_min, R_max, N_R)\n",
"\n",
"T_ = np.linspace(0, 2*np.pi , N_T)\n",
"\n",
"# Crear la malla:\n",
"XX = R_ * np.cos(T_).reshape((-1, 1)) + np.real(t0)\n",
"YY = R_ * np.sin(T_).reshape((-1, 1)) + np.imag(t0)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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MzZ8zdkqYvwZimTGgvD2ZG9LnvL5ylkTivrZyl10a595l0nuhULhQUqaYCNQM809N9fDk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OUFpmjZ8FANqC1ls/++iTMV6XK46ACnP//6we5jBVBbvP0d2zfikcPVdS6Xj1Q7Nvfevo31mH1Z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\nnMvIbwM14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87cMnsbk0tGQZsJkrVDXO3n9t6+rQbWCnRCZrnHjRT5pQBQs9krGoHx2zdf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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#pintamos la malla para verla\n",
"plt.figure(figsize=(10,10))\n",
"plt.scatter(XX.flatten(), YY.flatten(), marker='.')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__NOTA__: En versiones anteriores se utilizaba una malla rectangular. Esto generaba algunos problemas con los puntos interiores a la hora de pintar las líneas de corriente y los campos de velocidades y presiones. La idea de usar una malla circular está tomada de [este ejercicio](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/06_Lesson06_Assignment.ipynb) del curso Aerodynamics-Hydrodynamics with Python de la [Prof. Lorena Barba](http://lorenabarba.com/)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Probando a transformar la malla"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Bueno, lo que queríamos era hacer cosas alrededor de nuestro perfil, ¿no?\n",
"\n",
"Esto lo conseguiremos pintando la función $\\Psi$ en los puntos `XX_tau, YY_tau` transformados de los `XX, YY` a través de la función `transf_yukovski`, recuerda que la transformación que tenemos recibe y da números complejos. Como antes, debes separar parte real e imaginaria. En la siguiente celda calcula y transforma `tt` (donde debe estar almacenada la malla en forma compleja) para obtener `XX_tau, YY_tau`.\n",
"\n",
"Probemos a visualizar como se transforman los puntos de la malla primero."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"tt = XX + YY * 1j\n",
"tautau = transf_yukovski(a, tt)\n",
"XX_tau, YY_tau = np.real(tautau) , np.imag(tautau)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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M0BpGygxrBil1QUq2gOG7umopXUCZWV9KnHIyz6ZV3pSUPnNUqdznUnMqIWxA/iLktbsy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Dh84gzu+Xf/Ha+7ZjtuePXFpm283qgYrCwudPjQm2/C9ou2VGHBvIBLKwQboif/a2U2uPazvDDG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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Comprobamos que los puntos exteriores a la circunferencia se transforman en los puntos exteriores del perfil\n",
"#pintamos la malla para verla\n",
"plt.figure(figsize=(10,10))\n",
"plt.scatter(XX_tau.flatten(), YY_tau.flatten(), marker='.')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Obteniendo el flujo"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. Crea una variable `T` que tenga el valor correspondiente a la circulación $\\Gamma$.\n",
"2. Utilizando el array `tt`, el valor `T` y los parámetros definidos al principio (`t0, alfa, U...`) crea `f` según la fórmula de arriba (no hace falta que crees una función).\n",
"3. Guarda la parte imaginaria de esa función (función de corriente) en una variable `psi`."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"# aeropython: preserve\n",
"# Circulación que hay que añadir al cilindro para\n",
"# que se cumpla la hipótesis de Kutta en el perfil\n",
"T = 4 * np.pi * a * U * (delta + (1+landa) * alfa)\n",
"\n",
"# Malla compleja\n",
"tt = XX + YY * 1j\n",
"\n",
"# Potencial complejo\n",
"f = U * ( (tt - t0) * np.exp(-alfa *1j) + R**2 / (tt - t0) * np.exp(alfa * 1j) )\n",
"f += 1j * T / (2* np.pi) * np.log(tt - t0)\n",
" \n",
"# Función de corriente\n",
"psi = np.imag(f)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Como la función de corriente toma un valor constante en cada línea de corriente, podemos visualizar el flujo alrededor del cilindro pintando las lineas en las que `psi` toma un valor constante. Para ello utilizaremos la función `contour()` en la malla `XX, YY`. Si no se ve nada prueba a cambiar el número de líneas y los valores máximo y mínimo de la función que se representan."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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B1BJGG63ennT/sRj2D7ApIHyvtyDkH3RTXhidnw/3tHHHWR0eef8TWLMPa/Zgza7v0/U9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FA4t4qCQ6tZbNeIERe7qR38oPDcceMNGvQEnifbvbRNf6wdU23Yu2ubyuSYoGeiRVOxIUy2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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#lo visualizamos\n",
"# aeropython: preserve\n",
"plt.figure('lineas de corriente', figsize=(10,10))\n",
"\n",
"plt.contour(XX, YY, psi, np.linspace(-5,5,50))\n",
"plt.grid()\n",
"plt.gca().set_aspect(1)\n",
"#plt.xlim(-8, 8)\n",
"#plt.ylim(-3, 3)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dHTUL/ly6gKmOjdLiWALKwy6wElQtc3/NGnYd6Xgo3WhYLD5iAZIA8nRlCnZ2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\nSUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#ponemos el cilindro encima\n",
"# aeropython: preserve\n",
"plt.figure('flujo cilindro', figsize=(10,10))\n",
"\n",
"plt.contour(XX, YY, psi, np.linspace(-5,5,50), colors=['blue', 'blue'])\n",
"plt.grid()\n",
"plt.gca().set_aspect(1)\n",
"\n",
"p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=3)\n",
"plt.gca().add_patch(p)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5. Flujo alrededor del perfil"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ssAjmsII5Fv4c82CGsTfCkX0fc3926nmkhCHHTJi0AJPlkaN5mKyAPCsgz4pJ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/Vqe7VNz8bMeMYeY7wbYwhYLAqJMYlIgswHJGQkJ5BIsWLALAIRDCIIISSEUYgl8oXFlpBt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\nEIQtj4hiQRAEQRAEYcvz/8FRbqVfQGgKAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(\"flujo perfil\", figsize=(12,12))\n",
"\n",
"plt.contour(XX_tau, YY_tau, psi, np.linspace(-5,5,50))\n",
"\n",
"plt.xlim(-8,8)\n",
"plt.ylim(-3,3)\n",
"plt.grid()\n",
"plt.gca().set_aspect(1)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ZxkmsM1uBYmJaUDmKdfx4dK4qa5GpSi0dHTip8l0RP08nL166jJSkdCTpnP9R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\n5zU0pO57NE3RGHPjhohS694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PY20WWlvRCwtHoKgodfMm9nPkLs4JfX1e6O31wePH3sV5\nwTBMqKpagIaGOWhoCEBj4xw0NuJ5Kq7lagzn7lx4+hTn7P5+J4yMFC3O4YGAjO5KSkJQVTUPVVUL\nUF09D5s2LSx6RUUQXK7UayYkw8JhAyYmPDA6ytf7HBgd9cDoaM4iHpiasqZeDMOE4uIwlJUFobBw\nHioqolBaius/P5aWhhKy3m1Ui0YB5uZcMD3thulpN0xNueCv/3pn6sonDMNwA8BvAOAj0zT/7+Ve\nn6niHbOzVpEO/piLdKiF/QB6kQ7ulHYpLFxdZMvOaRZS8evtlXmK6XF/vxxtIA5aHmmg6FRzs17T\nPJG22ms5OyunTsk5ETuleXftEuIXqWB/IJucxAgGjwI/fow/MwzcsR84gPzE+/fje01UZF29npOT\noh6ZIuV37gi1L6dTVigjdoK2tuR/9ys108TI5NyczEBBdcHEQkHME1z21zAw6upyCXe7sTYuJweP\nXq+oWVbBvh3GOjFN8Fp9iug/fBhf5pjKBjo6UhMN5WVJdK91d4u5OTc3Crt3O2HXLhFZ3r499b0E\nkQheS6IppLKRe/fE3EglYPwaktuFw53fmxRV5dR9/PzxY7mG1+nEyHlTk0zXSaU8mcBetFojXmI1\nU0xY4v79GZibK4ChIT1zVn5+fCEP1VOdfbCjpbLRzgCAvweAcdM0//eV/I5dQDHV6i4l0sFdV8JA\nhNlcolF3rKxM3uSVzoWSqPFUYnYu1qHWBJWViUmPp9paWlYvy5xoi3ct5+exzpdSoZQW5cpv+fmy\nOh2lRf3+1L3/hQUEnZcuoV++jHWCZC0tAPv2oe/fj7XAybovJyYAfvzj6xCJ7IIrV7AeubdX/HzT\nJrFJIMqrzZtTW+oSDFo5PnmKbnxcNLRNTuJ8MTur3/Qmw/Ly8PshCibTnICmppJF1gneh8GpJNOV\nqg6FMNVOwI6A3v37YuNjGHgf8rGyYwc+l+yxHwzi+7l+HeA3v3kCo6O1cP26EGByOhFo7tkjb2LT\nwTgTDuO15NdRBcsAOGdyajs6pnLeAVjdOkT8xDpF074+BIfciOee03xyQY+NqIRH1zMWw/mIgPNS\ngTley87N55M1FFSBD/5cUdHGLDdLJSg+CgBfAMBNQEo2AIC/Nk3zt/F+J5mgOBSSm0w43ZJOrENX\nOG8YOKGouy11N7ZpE74u3anbZIJionDjPJGcYL2vz6ro5/OJSYvAL9WV2VWdjuyjj05DZeXLFmWs\n3l7RcEKUTBS1IUDX2JhaSqZwGBdKqv+9dAmjYQTYqqtF9Hf/fgTCpaXJeS/z8/i/L10CuHgRjw8f\nip83N2NDHjFl7N6NE3AyLRbDRYTUtDjfNtUD8oZMbrm5okGjpERmoCgoECwUnFOYeIbdbnSnUzBQ\nAOAG0jRF9JiYJ8JhnIcWFmTWiUAAN5TkU1MA/f1TEIsVwcQELoC6+QsAQTFv9uHNtsQsk0pRmUgE\n7wfelHbrFkZIaVx5vUJKnBpKd+xInuInzZumiWCMmF6uXUPnVId1ddZm1+bm9ICHSATBsip1ffeu\nHLjx+wVHMfdk1IADJHYdWliwrjN0/ugRjl0OXQwD12OVKpQzKWUaN/FarmcotLwKL+GfsTF93a3H\no6eyJSU8LuxRXm6fDN5yljb2iZXYakBxMGil+Ign1jEyYhWVIKMvWqfgQl82B7qZlKpZz2Q0N6cX\n6RgYEJyP6sLLOYsp3cXPS0rsP/lMT8sLCh0fPTLBNPHNO52Ytucd452dWMqRapaCaBQjRFT+cOUK\nLuJEw1VYiKDz4EH0/fuXbhpZ73vp7hbR6IsXEeRQiq+mBv//gQMAbvdX8Bd/sTNpYDwaxQWTOueJ\nhaKnBxdP9d71+wXzCpUrUSaHvLzcvulGNUVNjBM0//EFkNKxtAFQKdvy8hAsNDbKTVEk2ZyKaPP8\nPI47XuLw1VeC4cQwcAzSZoo2VImI3C43b1L5BVeGvHtXgPjCQiGGQyUYW7emL2JJfNBcLpp4innz\nl9uN15RAMqngEUfxWi2VGctQSKxRXFmVC3yoYz8vTwBkTjfK2ZjsFLBJ9vWMRKwBRB4wVLmK423A\nfT6ZJlfnnEo3XbzpKwXFaYF+4bADzp+XaTk4lRD3pcihSYmuvBwBAZclVMU6VlunuxFsYQEXRB2Z\nOZ2r6RbDQJBQX4+T/DvvWEU7ks2FmyiLxfAzcplUqn/kPKgeDy4K+/YBHDvWD9/4RiN0dOAikQ7W\nCtNEcHftGpY/UC0wda7n5yM4+Nf/GsHn3r0IYpIVpR4dRclV8kuXxLgk1a1/9+9ENLq2VvxuV9dE\nQgBxKITfmyoP/fChSMsD4ITb0oLg5FvfkqXE6+rsC3bXYoaB90J+Po7LpYxqPFWmCYq8Xb5snQuq\nq4VMM3lHR2IzInl5eP9yaWnTxDmKgOi1a3jf/fSn4jUNDeL39u7F+y7RJQ6Vlai0+Oab4rn5edwA\nfvWViCz/t/+GmxMABJwdHaLsgjwVXMUOhwB8X/+6/LOJCatc9O3bqILH61XLymSQTOctLfaKCHo8\novROZ6pIlRr0+d3vZG2ftQoAACAASURBVG51sqIivaAH5yneKOUFLpfoZ1rOSBlvqYDk8+e4+f7q\nK3wcD0R7PEuLeegoelO50UxLpNgw9pkAV6TncnLk3YQq0kHPEcjNZBnBRBjnLf7DH+6Cz7fFItjB\nOT3JSkvlQd/QIAt11NTYn6tVtclJwU/MlZzu3bPKy/J0ItXeNTWJzECq67NJpe7qVeFffil4ZD0e\nXFR5GcSWLckr2YnFcME8exbg3Dl0qkl2OvG9HDokItJtbUuPw7Vcz6EhOTpHimJUFuJw4GJIdZSc\nfi+VJQHpsGTen5OTIsquCt/wxtHcXDGGeBNda2tyM2xjY3g/8LHC5cwbGkQ0mcDyUiU6ibqW0SiO\n4WvX5Gg3B13V1aL8go6trekvveMcxSRuRK7W9dbVCTo+7s3NeE/YoQl0NRYKycJW6nFgQE+vlp+v\nF/PgvmnT+r/bTLue3EwTgzhqkJMHP9XzeFl+AAxqxhPx4GIe3NVNnK3LJ6qqOs2/+7tbkmJJfv7G\nXsxWaqEQggLOhagT7eB8l2R+v5WnmKeGamvtzRW5lM3NyYs1n7w5+KcubbWObvPmlQGmZE5E0Si+\n3y+/xAWdSiAo6pqTgzWUfFHfti250erZWYz8XrgAcP48gmCKGPr9giv28GGMxq020rrc9RwaEpFw\nnTpefT2CCM7lmq4IPrdoFL+3uTlRB7ywoGefiMVwkSDmCWKfoNrj3Fx0UscjxTzdZiNdC+XYmGCY\n4CVHXNHN48FNCn1PJKiRTJnxyUlZWObaNbmxtK5ORJLJKaKc7Gs5MiKD5OvXZfYLr1fuSaBjqhvk\n4tnMjNgUET8xzb98k2QYOE7LyiZg376SRXEPOmbqmgOA0c5nz6xiHjz4NDhobbx1OBAYq0Ieqi+l\nI5DJoHgtFg5bhT24q/zEywl75OXJoPnTT20Miu3CPpFK4/QrpCylE+vQRXfdblkth6vn1NYCDAxc\ngO9855Ct0ltrselpLBtQhToePLCmuqqqRISQooTt7esX6kjURBQIYIST6MdIppki17m5CBgI/O7Z\ngwtkMqP0pokghiLA587he6IayS1bAF56CeDoUQTCbW3rBzP8egYCCF4uXBDNeAMD+DpVHY8iaiUl\n6/v/K7GFBUGFRDW5pLJEPjEhM1BQujyZ5vVihISa/EpKAMLhYejoqFxkm+B9EVVVWBOZyuDC3Bws\nNqWS8tytWwgYyPx+QUlIwi/JpCScnpY3nleu4BxC1tRETac98MMftsDevamrJQ0G8Xpdv45AmUox\neMNndbWs1Ld9O44NO7ErTEzI2QSMlE/DyEihpXl10ya9oEdLC963mR4Mi8VwvogXwCLnGwkyt1sw\nVKlCHiMjN+BrX9uxKOqR7qyCHY2EPXRCHqrgx/nzWVCcdKMUAfET647kui536piNt4sk7mK/P/Ep\n6nSYaeJ1oRSt6rrJlNJ1ra3C29rsQ29nmgiiSF2LQDBvyCkuBokLddeu1cnRrtUiEXw/Z8+inzkj\nNhc+H5Y/UBT40KHEAlDTRMD73//7bZia2gZnzsjMGE1N+P+JH3n37uRElEwTFyziSO3rE3WFjx/j\nYhWPxqigQJYMLS5GJwaKggLBJ5yXJ7iGKQLsconIML0X09QzT1C0ORBAoDk3h1GQ6WkE4lNTCESe\nPp2HQCAvbqrR68W5gzJDvEyK6KxSofMzMSEAH/nNm6LOMC8PNz1qViRZQHlqStToE2c3RbmJq5tq\n4vfuxfeWqvpzmkPoepFaH+fvdrlw08/lojs7EVzaBSzR3Dk1JUtF0/mjR7hZ4pDD65VV71TPUE0q\nrS0sWLPAHCOQ68AzUb9yXQPOhsU9XY1sdjdbl0/YHRTPz1upTHScgEND+ogR7f7i7QATLeloJ1A8\nNaUX6SDnHfDUGMJ5iltaEPS2tKRnQlzqWlKUhwsC3LghR/dJppl7Q0NqJqmxMYzAnj+PfuGCoGiq\nr8co8EsvIRDevj2xACQcRgB+7pwA4VSTmJeHAJjkcA8eTDwd29wcbkS6u/HIo1hqqVFZmVxDT5kX\nTnxfXm6vyBwZ3Z+RCH7fnH6JZ594ipdz2gLgJptAh7rZTGbkLhzGVPyXX4pSB14+lJuL42XfPtws\nHTiQ3AbSkyfPQk7OS3D5MmYtrlwR0vFOJ4J0zum9fXtqy3bCYSwFuXEDI/EkG93bK4Blbi7WdBNI\npvru+vrU99ysZB0KBnEzQiwxKluMup7ye5XzExPj0UZqnCUj7vQPP7wGVVV7pAAbPx8e1ot6eL3y\nXBZP0KOy8sUC0FlQzIxEOlTKEU5DwlOn8epUysr0XMV811ZVlXo+xFSC4pkZ0bGuCnY8eiSolMiK\niqw8xQR+GxrsBzy6urrg5ZePw6NHgkuVnDd75ebKdZOU5kwVyX8shgCQyiDOn8f3B4AL+o4dCH6P\nHkXnjBCJsEAAQfcXX6CfPy8WtIYGBN+HDwO43VfgL/5iX8Ki4lSXTQ149B3x2lanExdNKqvhaduG\nhsyucVztWI/FcG6jCDkXSqDIOV9YCwsF4wAXg0hWEx1vNOW15bSZKypCQEqNnYncUKnX0jRxM0Fl\nF/R+KHLnduO44k2vW7emPlJLJSvq/MQb47xe/N5IGZK8qSl5YHm96xDP6qiCHjr1UwC8FzhIJieu\n4kxhStLZcteTRD14kE4XwCNBIp3l5enFPDhlLT1fWmqfrMRabMOD4vl5mRJEx63Hn49HD1JauvRO\nimr17Bo5AkgcKCb5Vk6argp2qKnmvDzrDp4AcHNzampC12qU4uc1kefOTcPAQKEUsWhqEpEYolhq\na0vtBDE9jYs0B8HEUOH3iyjs4cO4WCca+AUCGP09dQqgqwsja+Ewbv527AA4dkwAcM6PvJ57MxLB\n74XESa5eRSBAddkuF4K37dtl6dvWVvuO1fVaojfA4TCOb97AStRdVO8NgNdzyxYxDqjetbY28QEA\nlQf70iWMlhJ4b2zEKDKB5D171kYXtpJraZo471FtMgFlEizyeuXegL178R5MB8/9+LhoguSS0Zx+\nMjdXbHg6OgQLT1vb+uWtkx2c4Rs8XUDm8WOZnhEAQbEq5sG9qsq+mgSJvJ7hsMxjzkU8VEXfkRF9\nBNrhEAxgXMBDFfOgY3GxvaLQGQWKOX2HylXMH3Ogq5NcBsCBrXIU60Q7KivxC840+jGdrXTwBAIy\nb6PqAwNWgn+fz8pTzNXqysvtdePrLBbDiZMWCfLubjm1XlkJUFs7DseOlS4CrW3bUl/GEYkgQL94\nUXh3t2Aw6OxE8EvR2NbWxH8H8/MYCf78c/SLF3FidTpx4X/lFfSXXsLJL56tZmIfHETAT414V68K\nAFxYKIQbqAmvoyO14DcSEfW9pDI3O4vjitgngkG8TpGIYJ+gKdbhECp3Ho9wYp3wenEzQ/XKhYW4\nqPPIXiqzQrOzgs/2zh0RkXz8WLympEQWsNizB4FWooEGNWnSeLh0SbwPl0umCjx0aGVjYq3XMhbD\nDQQBZKJRpDWJ6qWJ9SKdQBkA71cCysQecvcuzon83mxqEkCZc1OvdI5PdxnfcuqrAwPWTKbTiaVT\nqpgHV38sL08P/Wu6ridFoNVgIwfPHJNRcEY1l2tlNLuckziZY8TWoLiwcKd58OBXEu3GckTPfAei\n25UQ0H0Rqd26urrg4MHjEueiyre4lFCHqvLDAXAmqNORBQIY6eIE9Xfv4nOcr7iqSkQWKa3Y0YH3\nUTomosFBAQQvXMCFliLVZWVy6vjgwaVB6FotEMDoc1eXiASHQrgY7N0LcOIEwPHjCIJX0+QY73pS\n+cfp09gAePYsLlwAWLe5Z4+oK923L3m1paEQXn8aK1S3NzSEEz6nANLRICbbDEMwT2DD7Ri0t5dJ\n9YLUs1BTg0A62TY1JZrBiGrsxg2xoVZBYbK4tYeGBJ0gAWX6jvx+BMc8e6JubhM51qmsR+Ubp/eT\nlyezb+zejZvbdFIL8vmSgPKdOwj4+XpM/O7c29txTPIIfbpB8UpsZkYfGOrvFzX4KhbxeKwiHup5\nIniJVcuE6wkgVId50FLlJ+a+FB9xcbEMknXOadZKSlZ+3W0Nij2ePea+fdcsH1a3i0g1xZDdzDQR\nzHJ6F5Ursa8vDNPT1pC3KtRBTgC4pibz0swkZcrJ5indS6AKAO+ZpiYxiVMDSkfH0iUdyZ6Ixsbk\nDvjLlwUjhNuNiyVFuw4exBKUZNz/CwsYle3qWjoSfPTo+ury6HqGwwgUqAb57FmxSauqEjRwR44g\neEjkfTk+jvcJdcM/fCjSroODcjc8AP5vKpkiLy3F+6akBK9HYSGCLJ9PZp/weAT7hNOJQJ6+P+Is\nJuaJUMjKPDE7K6LQU1O4gExMoI+NATx6NA0LC4UwPGzN6gDgfEmb2/p6uZ6/pWV9Mr5LWSSC15g4\ng1VQ6PPhRodv7hJd5x6NIqgjzu3z53FeAJDr7I8cwc1db28XvPrq8cS+CWaxGF4TXv5z/broWXG5\ncE7iEtY7d6afcSEaRaBIAkhcCVQn6EF0mA7HQ3jrrVZob8f7LROzsFTXrAsu0Xr75Im1TMPpFLzE\n8by6OjEBhUy3cFhQpfFqADpyPmJ6XjfXAeDcWlqqF/Hgj/1+gFdesTEotjv7RKosELByFRP4JdA7\nOKi/ISoqxC4V4CkcPFizOPgICGdqQxFRFHGeYgK/Dx7I18PnkxuDSKxDjWKs1BI5ERFfKoHfy5ex\n9o2MpKWpkWj37uRFjsJh/P+ffYZ+7hwCMooEv/oqRoKPHk0M3V04jGDgxz/uhcePm+HMGRH9bm8X\n9ccvv5w44D8+Ljcf3b6NC7oq7lJXh/+TmnPq60Xkp7rafrVw3Oj+JNlV6kaneYMWckoZq/ROJSWC\n4pDS5Fu24Hey3ppS1WIxHLN071+6hKCQAEVNjVwLv2dP4u//8XHc8FEt/sWLoszB7w/Cyy/nwKFD\nuAndty/5UsaxmJBw//JL4aScZhj4/VCJEHlNjT3uyZkZnIs5uwuJKPHSBKcTxxUxm5CYB50n+l5L\npXHJdFXIg7uurKCgwEq9WlNjZanyejcuKF6Lzc1ZQbN65FzFeiCdBcVpM+Iu5s4FO+ixLo2Qm2sV\n6lC9qkpePDJx8MRieB24rCwX7eCpapcLQQwJdVD6rr098WpZa72Wo6My1dS1a/g5yBoa5K71PXuS\n2xkdCiEQOXUK/exZAQZ27cJyiFdfRVCaiJS7aSIQ/cMfAD79FMsiKCLW2Sn+17FjmPZfrw0OyqqA\n16/LjWHFxSIzQNmCtjaMYKVbDW89ttr7c2ZGdO8TXywBGV4bTNLZRO9FCmttbYmt8wsG8bvi1IG8\nbGb/fsGacuRI4tlcIhHcOJ09C/DBB8Pw6FHlolS0y4Vj49Ahwd+dCjpF08T7mQAyyUXzDXRpqRUo\nb91qr0zfBx+cgYqKo3D/vsxT/OCBvNYZBq5jnIqTU3Kmmr0pWTY3F1/Ig7uudLSoCKCoaA5aWvIt\nVK6c6rWoaGNcq2RYICCLeLz+ehYUJ9QiEdylqLQnOsEOXRMgpWTJ48k/riVKZVdQvLCACx7noiTv\n7ZV3ci4XAhaKYnHBjoaG1KXilruWpolgggQJCABzgNHYKNKhxLuaaF5e1YJBBMFUE3zunKij7uzE\nUgiKBicKaAwPA3zyCcDHH+NxaAifb2sDeO01BN5u91l4552X1vV/Fhbws50/LxqtqKPe4UDAu3u3\nAAudnTiWNuJikcixHgggYKHmq9u30e/fF8IzRD1IojOU4k8kP+yzZ/jdnj2L9+3Vq4J6a8sWUe5w\n9GhiVBbJ6Fo+fy6D9EuXRFZj0yYBkI8cwc+fqijn1JSo2+YCKDRvulx4fbZvl72+Pj33/lL35tiY\nvCnjHMU0b5AVFsoUnpzNqLExs6PMqlF5JA+c0fHGjecQDlcsBtJ0GePcXCstrOrUf7CRrttazNY1\nxXYBxdEoRvhUoQ6dcMfIiLX2EAB3avymrKrCG1AV60hmw1o6u1QHBwUZOxfr6O2VqYAAhHoRRQS4\nNzbagxqHX8uFBaxRJElWch71aG8XAJhAcLLqNrktBYJ37EAQfPw4Rmf9/sT8z3AYQcPvf4/+5Zf4\nvN8P8MYb6K+/juUJZGu5Nycm8POcOoVNeFeuCJDU3IyRPIq479qVvDKhaBQXLGoQGRsTNb7EQDE7\ni76wgNefs09EIvKcQcwTLhdGRcnz84UT4wQ111FNHNU1f/FF8sf6woLgwSWVxuvXRSmGw4FRSir9\n2b8fgXKiopbz83hvE0g+e1ak5svLRenNsWM43tY6b8S7NymafP68oD/s7cWfeTx4z6Wi7l9nkQiC\nSpqLbt3C98r7KQoLRbSfs+iUlyf3va11HZqbE5kMAsqcR1sFg9XVejGPxkacezI5E8SNX0/SWtCJ\neJCQB2GVeJzERUVLC3pwnuKNKIrywoLiQECmEtFx8dFxdFRERLjl5oobh4t06IQ77HDzJAsUR6M4\n4Kg+URXsUMnUKS3Gd/ZcsGPTJntG72Ix/Cw3bwL86le9MDfXDDdvymIdXi8uMDyFuX178uSmVZuc\nxMX5iy8QKF66hACMeIKPH0c/diyxKeeeHoCPPsJI8Gef4cTscmHU7GtfQ9+9Oz4zxEruzdFRLLcg\ngH/zJj7v8SDwOnpU0M8lamE3TQRavb1i8aWOdJJfjacYBYDX3ecTUs86mWenE19nGELemSSeg0H0\nhQVZ2jke1SQAXuOiohDU1XmkekTeQNvYmJw5yTSxbpI30l2+LOq1c3LwPqD63CNH5M3ReiwWw9pw\nkio/c0aA1Px8/F8vv4wbwf37Vx4RW828OTwsQPLFizJDjN8vg+QDB1IvGjE1JQAyd76Br6gQAJl7\nojbxyViHYjG89mrAhdaggQF5jBoGjgtVxIN7uhsZV2prvZ6hEGIcAs7xgn5DQ/Hp1PLz9SIenNaW\nPFNEPTYMKF5Y0NN88MecSy/eouLz6bmKVd+0KfMYL9Y6eObnZWoaVbRjYECAQrLKSv0OndTC7LxL\nN02cCChNTIvI7dtyDXNjoxAoIBDc0pLagf/0KS7+BIJv3MD373JhYxxvVEtkZHpuDtkofv97BMNU\nF93YCPDmm+ivv77yRV93b87NIQim+uOvvsLnvV4BcI4eRZCx3sanaBSBPXHtEkXf/fvWmv6iItGk\nShkemiuIIYcYKHy+5FDERaO48Ziawij1+LjgDB0eBvjyy0FwOqulHgV1Y19RgeORyzdTXXUiAQGV\nEl26JMparlwRkb3aWtzI0L26Y0fiskF8fHzxBY4PAJx/Dh4U7CmHD8ffJCRCWIZTKXZ3488MA2vZ\niWWDJKJTzcZAtcp8vqNzlZ+daCm5iuFqgxjpyFhGIngvqEIeS61hJPMezzdtSg8vsWqpuJ4LC0sH\nELkC8MiIPojocOA1jSfioXq6QLStQXFzc4f5k590W6g4VB8djS+57HLJiio6Ly8Xi5odIrrJMt3g\noSgvp5RRxTp4Vz6AiPTqdtjUqZ8J15EvBiTUQeccCJWVWevxxsa+gG9+81hK3y+laylVe+6caLLJ\nz8eFnRTjDh5MbLmAaSJQ/N3v0E+fxkiD14s1yF//OkaD1yoQ0tXVBa+8chxu3sS///HHCGZCIYwE\nv/QS1h+/+ipGhdeTgg8E5DrvGzcQCPD0a12daNSk0h3a0KWC43e9po71SATHOW1quYRzTw+Oez7F\n19QIesJt2/Ce7+xM3D0VDuN1p3v5zBnRAOnz4ff98svo+/cnbhM9Po7g+PRpLLv58ktcwN1uHDPH\njyNIPnRIbAwSDTqmpjB6fuGCcCo5ycnBDTaVmxw4QDRmCfv3KzZS8iSQTDXld+4IpT4A3CRu3Sqz\nlGzZguNFB/Dt2NsSjWIgRKfSSs4/MwBiC56BUWlNa2tTI+hht+sZi+E44yCaByXVc1UohcwwREkY\nF++Id/T7E4M7bA2KDWOfCXBFei4nR7+rUJ3A7ovcdUkLIdHAdHU9hNzcVgkADw5aU7/5+Xq5S0q9\n1tbaq5t5OQuHMZJJIh1EQH/3rryZKitDAEBggAQ7Kiut91AqJqKxMVwwCThcuiQyHFVVQq3u2DFc\nSBMdYZqbwzKF3/4Wva8Pn9+6FeCtt9CPHl0fYJmbw0jwf/2vg3D9evViffn27Qiy33gDP99aI8HR\nqIjUEeXXrVvinvf78dqRHPG2bbigZ0rqNJ6t9v5cWEBwTDyzBH7u3BE16IaBm4OdO0Vd/J49iWEJ\nAUDgcfasiOreuoXP5+QgSD12TER1EwXOp6ZkWfKrV/HeIB5uzLDchL/6q+1Jk6I3TdygcErGq1fF\nWC8sxI3ggQNCIrqxMX3rmmniusJBMs2pvBnO5cL7hYAybTKfPz8L7777Usaty1NT1qAR5yjWCXq4\n3bJ4B4Fmeq6mBiPO68mM2A0Ur9bC4fgBT1WxmCjVdJFoAFwnlhLx4Ec6V4G0rUFxVVWn+eMf31p8\n8+XluFhl2mBKhs3OWvkOyWmADg1Zm/5yc627WXWnm0nqdGTEWUwpby7Y0dMjp8ZqamSuYgLAq2F+\nSPREFAxi9PLSJZFmvn8ff+Z0InDj3e3J6ByPxfA9fPwxlkScPSuiwa+/DvCNbyAQrq9f3/8ZHAT4\n1a8APvgASzCCQYD8/Ah8/esueOstjDrX1KztbwcCeO2onOTCBbHxKSlBcHHwoJDVTQWvq2kisKRG\nO3JqslNrHV0uXEw9Hhyvubk42ft8K188E3V/xmII2G7dkpXpiJ4MAOcMzqO9f39iouljYwIgnz6N\nUX2K6h44IOrjjxxJXGZqelrU5J8+jfdSKCRq8qkm+dix5DLFRKMINDl3840bojejuBg3JASS9+5F\nAJrueXtqyqoWSrzxXMiisFCIeZC3taEnQ4kzFUaCHgSUnz6Vz+MBZ4cDN5Y6EQ/OPhWPcSrTQfFq\nLRbDTC5vbCawzJ3/bCl1vNxcWbzjs89sDIrtwj6RSltYsAp16FxN5QBgVFzdlfLHjx6dgbffPpr2\niXM9Nj4u6HqIq5gAML8mOTmYym9vR+DLQXAimt7WMxGRWAEB4EuXEGzQgrdpEy76JFawb1/ymBOG\nhwUI/uQTIQ6wY4eoDT52bP00PffuAbz3HsD77+MiD4CL+NtvA/yzfwYQjZ6CN954ZdV/NxRCEPPZ\nZwiwL1zA60gghpTJDh1KHGggeiTebEeNKjRRk7rc5CSC8kRNn7m5CCiKi9FLS2WVT2K2efLkMrzz\nzn4oK0sOUJqawnuWOKAvX8bxCID/b+tWsYE7cgTH4Xrfx/S0YBvp6sL/GY3i5uHgQaT2e+01PE8k\nw8V/+S/XYWZmF5w+jf+fGuc6OkRN8iuv4HVPpi0s4OaEGhivXcNyKgKbRUUier97N26kN2+2h2Jc\nJILlCA8eAHz44QMAaFsMYPT3y+OjrMxKt0me6dzEqqBHPNeVFOTlybSs1M8wNdUNJ050LIp6vMjZ\n8XgWieCcrYp5cBEPOj97NguKk26kKqVyFfMmGDrX7WjcbquqjU6sYznglAk7StNEYMY5izkIJslf\nAKE6Rmk5ahJqb8fnk1mkv9JrGY0iIIwna1tQINcPHjiQ3OhlMIgg8qOP0Dld2ptvipKF9S7w0SgC\niA8+APj1r0XU+8ABgHfeAfj2txFU0Odczb354AHWHX/0EQKkuTmMtuzZgzXHr7yCZSXriTgRiwKV\nE3DO1L4+AYy4lZaK+rayMgFcudSzyj7hclklnnXyziTtPDuL4JAo32iiHx2Vm6LIKDPEm12pRrq1\ndWkp89XaxITIclCtrEqRRuU+u3evH6zNzGA24PPPcVN07Rp+b14vRnRffx19+/b11XXyezMUwjFM\nLChnzojr3tYmKOCOHl17ff1qLBTC8iCaW65exYgyRSNzcrAWnEAylQqlig1HZ+pYp9IdLspE/vix\nDJiLiqx0nfQ42XN+Km1+3hoI4yq2hBl0hAG5uXoBD1XYo7x841yvRJqtyyfsDoqDQZn3jzs9TwCY\n6vK4caEOla+Y7wgTFe2xCygOhUSzjyrY0dsrL+4EfLlYB503N6ePaFx3LUMhTHlevy4WqOvXBYDK\nyxPCBpTG37w5uY0Y0Si+h08/Rf/iC7wXV0OXtlJbWMBo88mTCIRHRvAef/VVgG99C8FwvLKIpe7N\nUAjf969/DfDhh4Lpoq1N8B4fP752EDwzI8oCrl/HaNydO3K9eX6+WIAbG0WdPTFQbNqU/jr7QADn\nnWfPAD755DYUF2+Dp09Fc11fn1UAobxcbCapjChRoiaUESGKtC++kCnSDh8WJRD796//+k1MIFCl\ne/3uXXy+vBzBMd0rKHm/clvq3oxEcGN56pQo2aGNe2WlDJJ37kwNx3okgtedFByvX8dzel9UG05q\nhOTNzalp6FvNOrSwgOuEKuRBHMWc6tPlwl4YHdVnc3PmR5l1NjMDcPLkRairOygF11R+Yl2wzeEQ\n2SWVQlY9lpTYg2kjFZYFxYrNz1upRnQ+NBS/TqWkRN6RqUoydJ7q2t1UgWKSZuZ8xcTz+ugRRuB4\noXxOTvzdv12ViX71qzNQUHB0UbDj+nUEUjRJe70INPfuFbV/W7Ykf1E0TVxAiMbs889FtG7rVkwv\nE4tDIuo+p6cRqL73HkZv5+YwmvPNb2I0+OtfX9n/Ue/NmRn8e++/j01+09N4n5w4gX/7rbfwHlmt\nRSIYSSPVuytXEDzR9FZaKhruqOlu8+bEy4Qn2+KN9UBAAIsHD+TGOk7mT9dhxw68j3fvxvtnvdHd\nZ89EnfCpU4JrOi8PgSPJiu/du/6x8uQJjoFPPsEjbQi2bBGlQa+8snxT5WrmTeJK5jRwJJjh8wlp\n6mPHcCOQrLIo1SjzQQCZBFcePBD3fn6+oJgktpHOzsSLeSRqHYpG8TPR/cz5iXt7reIUPp+eJrSx\nEYFzJvbSAKzsei4syEE6ndouOd9okLlcevEO3bnfbw+BrbXahgfF0ajg7+Q8xdw5CNalIAFklRd1\nF8V3WRUV9uXg0CmP4AAAIABJREFUTdRkRJyPKn1NPLEOAIw8qTv45mb0qir77kJDIVzkiOSeGo6I\nPgoA3z8JdRBfcXt7alJTpokLwKlT6J99hgsFAEYyCQSfOJG4msfxcWyU++UvsR45FMJ7/513AL7z\nHYz8rTbq19XVBbt2HYdf/xrgF7/A0ohgEBfkt99Gf+211YOIYBDT+KdOYcr7wgWRcqysxHKOfftw\n47JrV2oa71JhaxnrIyMyL/eNG3ik65WTg/c2lfscOoTR+vWMXWqm+/xzdALJRUUIjqkEYr01yaaJ\nn+uTT9BPncIAiNuNQJX+z7591gV9vfPmwIAQEyFWDdPE+WHnTrmBtqEhtfdfIIDfOX3X1EzJy9RI\nzINAcmcnbpDWmplJVXBmZkamHuRr1KNH1r4cn09PL0peWWnPdSqR15PEinRCHkND1mAhb57kRnzE\nqpiHyk9cURG/gTBdlnGgOBwWIFel8dAJd4yPxyeS9vutIh060Y6KCntGK1drKx08s7NW2hkOfJ8+\ntdK4kViHTlazvn794grJtmgUJ0oirScQzNXq3G6MMnV2AhQU9MB3v9sCO3cmjpJqJWaaWJ9LIPjU\nKSGT7fcjIH39dQSQiexGHxzE8oWTJzEKHYng9/rd7yIQPnx4bZuA2VkE2H/7t6Nw5YofQiFMb3/3\nu+hHjqzu75qmYND45BMEIgsLovHu2DGhepcoBo+ZGVH3x+cgarabmhL1wIGAUKgj9olYTCjaORy4\nofB4EIR6veg+H0bcCwsxolVaKmqYaZ6qrhbzVCKjcQ8fipr4K1fwSMGD4mIsA3rpJfT18mM/f47g\nmCK8RANYXy9q3l9/ff0MBQsLWNbx0Ud4P1NtPYFxkiJvawM4dSqxIG5iQpaGvnhRplrkIHnPntQH\nWUi86NYtwVFMRx40qqoStJXkHR3LR5btUsY3OSmymGpwp7/f2uzmduPcpKMqJU+1QiFA+q4nSUqr\nYh66oOPwcPzMOmlJrNRLSpIbcLI1KC4q2mm++upXEtBdilqDFglVIYWALd+dZIrkYCKtq6sLDh06\nLlHFEF8x+ePH1snA6RRiHTrPBNBLFokI8MvFOu7elcUbGhuFUEdnJx7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Rb/3pdKodklpR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qDqJJU9g4ZLOSzHpJ/KmFojMz3r+XrCxp5WXXLm9PeJ5rGY2a821g4Ia1PqjzeTt5JgKmrsKN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\nwMDAwKDhYUixgYGBgYGBgYFBw+P/B6KXcD/9kamKAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Ahora ponemos el perfil encima\n",
"# aeropython: preserve\n",
"plt.figure(\"flujo perfil\", figsize=(12,12))\n",
"\n",
"plt.contour(XX_tau, YY_tau, psi, np.linspace(-5, 5, 50), colors=['blue', 'blue'])\n",
"\n",
"p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n",
"plt.gca().add_patch(p)\n",
"\n",
"plt.xlim(-8,8)\n",
"plt.ylim(-3,3)\n",
"plt.grid()\n",
"plt.gca().set_aspect(1)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 6. Interact"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__Ahora es un buen momento para jugar con todos los parámetros del problema. \n",
"~~¡Prueba a cambiarlos y ejecuta el notebook entero!~~__ \n",
"\n",
"__Vamos a usar un `interact`, ¿no?__\n",
"\n",
"Tenemos que crear una función que haga todas las tareas: reciba los argumentos y pinte para llamar a interact con ella. No tenemos más que cortar y pegar."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"# aeropython: preserve\n",
"def transformacion_geometrica(a, landa, delta, N_perfil=100):\n",
" #punto del plano complejo\n",
" t0 = a * (-landa + delta * 1j)\n",
" #valor del radio de la circunferencia\n",
" R = a * np.sqrt((1 + landa)**2 + delta**2)\n",
" #se barre un ángulo de 0 a 2 pi\n",
" theta = np.linspace(0, 2*np.pi, N_perfil)\n",
" #se crean las coordenadas del los puntos\n",
" #de la circunferencia\n",
" Xc = - a * landa + R * np.cos(theta)\n",
" Yc = a * delta + R * np.sin(theta)\n",
" #se crean las coordenadas del los puntos\n",
" #del perfil\n",
" Puntos_perfil = transf_yukovski(a, Xc+Yc*1j)\n",
" Xp, Yp = np.real(Puntos_perfil) , np.imag(Puntos_perfil)\n",
" \n",
" #Se pintan la cirunferencia y el perfil\n",
" fig, ax = plt.subplots(1,2)\n",
" fig.set_size_inches(15,15)\n",
" p_c = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=1)\n",
" ax[0].add_patch(p_c)\n",
" ax[0].plot(Xc,Yc)\n",
" ax[0].set_aspect(1)\n",
" ax[0].set_xlim(-3, 3)\n",
" ax[0].set_ylim(-2,2)\n",
" ax[0].grid()\n",
" \n",
" p_p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=1)\n",
" ax[1].add_patch(p_p)\n",
" ax[1].plot(Xp,Yp)\n",
" ax[1].set_aspect(1)\n",
"\n",
" ax[1].set_xlim(-3, 3)\n",
" ax[1].set_ylim(-2,2)\n",
" ax[1].grid()\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"from ipywidgets import interact"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "4e13d165cf2749cb947e0bc621fafd01",
"version_major": 2,
"version_minor": 0
},
"text/html": [
"Failed to display Jupyter Widget of type interactive
.
\n",
"\n",
" If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n",
" that the widgets JavaScript is still loading. If this message persists, it\n",
" likely means that the widgets JavaScript library is either not installed or\n",
" not enabled. See the Jupyter\n",
" Widgets Documentation for setup instructions.\n",
"
\n",
"\n",
" If you're reading this message in another frontend (for example, a static\n",
" rendering on GitHub or NBViewer ),\n",
" it may mean that your frontend doesn't currently support widgets.\n",
"
\n"
],
"text/plain": [
"interactive(children=(FloatSlider(value=1.0, description='a', max=2.0), FloatSlider(value=0.0, description='landa', max=1.0, min=-1.0, step=0.01), FloatSlider(value=0.0, description='delta', max=1.0, min=-1.0, step=0.01), IntSlider(value=100, description='N_perfil', max=200, min=4), Output()), _dom_classes=('widget-interact',))"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# aeropython: preserve\n",
"interact(transformacion_geometrica, landa=(-1.,1, 0.01), delta=(-1.,1,0.01), \n",
" a=(0,2.,0.1), N_perfil=(4, 200) )"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"# aeropython: preserve\n",
"def flujo_perfil_circunferencia(landa, delta, alfa, U=1, N_malla = 100):\n",
" N_perfil=N_malla\n",
" a=1\n",
" #punto del plano complejo\n",
" t0 = a * (-landa + delta * 1j)\n",
" #valor del radio de la circunferencia\n",
" R = a * np.sqrt((1 + landa)**2 + delta**2)\n",
"\n",
" #se barre un ángulo de 0 a 2 pi\n",
" theta = np.linspace(0, 2*np.pi, N_perfil)\n",
" #se crean las coordenadas del los puntos\n",
" #de la circunferencia\n",
" Xc = - a * landa + R * np.cos(theta)\n",
" Yc = a * delta + R * np.sin(theta)\n",
" \n",
" #se crean las coordenadas del los puntos\n",
" #del perfil\n",
" Puntos_perfil = transf_yukovski(a, Xc+Yc*1j)\n",
" Xp, Yp = np.real(Puntos_perfil) , np.imag(Puntos_perfil)\n",
" \n",
" #se crea la malla donde se va pintar la función de corriente\n",
"\n",
" # Dirección radial\n",
" N_R = N_malla//2 # Número de puntos en la dirección radial\n",
" R_min = R\n",
" R_max = 10\n",
"\n",
" # Dirección tangencial\n",
" N_T = N_malla # Número de puntos en la dirección tangencial\n",
"\n",
" R_ = np.linspace(R_min, R_max, N_R)\n",
" T_ = np.linspace(0, 2*np.pi , N_T)\n",
"\n",
" # El menos en la XX es para que el borde de ataque del perfil esté en la izquierda\n",
" XX = - (R_ * np.cos(T_).reshape((-1, 1)) - np.real(t0))\n",
" YY = R_ * np.sin(T_).reshape((-1, 1)) + np.imag(t0)\n",
" \n",
" tt = XX + YY * 1j\n",
" \n",
" alfa = np.deg2rad(alfa)\n",
" # Circulación que hay que añadir al cilindro para\n",
" # que se cumpla la hipótesis de Kutta en el perfil\n",
" T = 4 * np.pi * a * U * (delta + (1+landa) * alfa)\n",
" #Potencial complejo\n",
" f = U * ( (tt - t0) * np.exp(-alfa *1j) + R**2 / (tt - t0) * np.exp(alfa * 1j) )\n",
" f += 1j * T / (2* np.pi) * np.log(tt - t0)\n",
" #Función de corriente\n",
" psi = np.imag(f) \n",
"\n",
" Puntos_plano_tau = transf_yukovski(a, tt)\n",
" XX_tau, YY_tau = np.real(Puntos_plano_tau) , np.imag(Puntos_plano_tau)\n",
" \n",
" #Se pinta\n",
" fig, ax = plt.subplots(1,2)\n",
" #lineas de corriente\n",
" fig.set_size_inches(15,15)\n",
" \n",
" ax[0].contour(XX, YY, psi, np.linspace(-10,10,50), colors = ['blue', 'blue'])\n",
" ax[0].grid()\n",
" ax[0].set_aspect(1)\n",
" p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n",
" ax[0].add_patch(p)\n",
" ax[0].set_xlim(-5, 5)\n",
" ax[0].set_ylim(-2,2)\n",
" \n",
" ax[1].contour(XX_tau, YY_tau, psi, np.linspace(-10,10,50), colors = ['blue', 'blue'])\n",
" ax[1].grid()\n",
" ax[1].set_aspect(1)\n",
" p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n",
" ax[1].add_patch(p)\n",
" ax[1].set_xlim(-5, 5)\n",
" ax[1].set_ylim(-2,2)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "4bc9f02653654aa1a2ac977a3121afc9",
"version_major": 2,
"version_minor": 0
},
"text/html": [
"Failed to display Jupyter Widget of type interactive
.
\n",
"\n",
" If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n",
" that the widgets JavaScript is still loading. If this message persists, it\n",
" likely means that the widgets JavaScript library is either not installed or\n",
" not enabled. See the Jupyter\n",
" Widgets Documentation for setup instructions.\n",
"
\n",
"\n",
" If you're reading this message in another frontend (for example, a static\n",
" rendering on GitHub or NBViewer ),\n",
" it may mean that your frontend doesn't currently support widgets.\n",
"
\n"
],
"text/plain": [
"interactive(children=(FloatSlider(value=0.5, description='landa', max=1.0), FloatSlider(value=0.5, description='delta', max=1.0), IntSlider(value=15, description='alfa', max=30), IntSlider(value=1, description='U', max=10), IntSlider(value=100, description='N_malla', max=150, min=10), Output()), _dom_classes=('widget-interact',))"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p = interact(flujo_perfil_circunferencia, landa=(0.,1), delta=(0.,1), alfa=(0, 30), U=(0,10), N_malla = (10,150))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 7. Pintemos un poco más"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Con los datos que ya hemos manejado, sin mucho más esfuerzo, podemos fácilmente pintar la velocidad y la presión del aire alrededor del perfil."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"# aeropython: preserve\n",
"#Velocidad conjugada\n",
"dfdt = U * ( 1 * np.exp(-alfa * 1j) - R**2 / (tt - t0)**2 * np.exp(alfa * 1j) )\n",
"dfdt += 1j * T / (2*np.pi) * 1 / (tt - t0)\n",
"#coeficiente de presion\n",
"cp = 1 - np.abs(dfdt)**2 / U**2"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"# aeropython: preserve\n",
"cmap = plt.cm.RdBu"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
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1frc68NOtq0Snzkp+wp3frp3blgdOqgS4Y9wqHi7fjTH2MICXOOefMD0fB/AV\nAOcADAH4Pc75QZttfADABwCgp6fn1sceewwTExNo9jvByaVo31NTUXz/+z2YmopicjKGqakoJiZi\nmJqKGZ6bnIxhcjKKublozm1HIhyNjUk0NaXQ1JREY6OcNzYmUVMzjba2KBob5XNibl5OoaYm7dtg\nPwzXu5z2nUwyTE1FMT0dxdRUdOE7IZ4zfj/Mr4vvSwyTkxFMTdVgfj73P4doNI2mJvkdaG6W3w96\nnp679dYxDA7aV+4pxfW+995793HOtxZ1pyj8/hTWexMAYG7aeWVf7g1yIxMzc2iu92JB53cAVvl0\nE9OzaG6o87glf26OE9MzaG6o9/AOf/6/Tk7Porne6zkXun/x3omZeTTX59nDJdfuaxscXy7231cl\n3ZuA8Pw/PXJx3J+NuhjkdNamcMXF+Mvl5jypoyaF0Xl3+/Zb5brvQhDE8rP2iWnW9rY4vh7msZNv\nYMcYq4W48dzIOR82vdYKIM05n2CMPQjgnzjnObsxb926le/duxeJRKJkRURo3xcvCvcLEGGF5KqQ\n40LLbW3i8aJF9q/R41zOS6nO22m/nAs3cmYmO88uV7Nyc3il1Vfv4MHXsGnTxoWwTXNjcnNDcquJ\nQkW9hieG4Xs2O5vt3KoOLy3TfHw82wG+dk26iP/+78BDD+XebzHFGCv64Mnv+1OY7k2unDofYnVV\n52zXodPYsWHQ3RvzdMjsnLpdrx3Djo2rA923nXYdOIodm3L+68pWgc7ZrteO4e4Ny/N7c577Jqfw\nmcPncPe6/vz27SL518m5K/bfVyXdm4Bw/E/zM/zSjWP33v4JPHIu94DbL7dOdere03sNX7zY5st2\nzYrFnO9l71p8FV8eWQQASCaL49STc/fevnE8ct4ZhJyUr2tn9VkX6tipcnLuwjx28jPG5QGIX5yG\nzS9wzq8ry99hjP3/jLEuzvllH/cfqLq7RQheW1v4Q+Hm56374pkntUy/Gn44NLQZdXUyRJF6vVER\nFR9NXgtt9G1LtbXGRuQUakpzCkOl5StXVmD3bmNenTl/jqagiqvU1QGLF4upEM3Ois+9wfkH8WpS\nRd6fdE6djfwOtyxUdDwFAJ5uh1Cxqsh7E1D5OXVBhV/mgrh83h8E7Omcu3DKT7D7OQCPWr3AGOsF\nMMw554yx2wFEAFzxcd+BKxKRjl1QSial63L1KvDKK20LjoyVK6M+p5bF99JQm6BGhRzGRF+0gQEJ\nRJRrp1aZdGpabq5gqRZQsSuewjmwZ8+L2Lr1tgVHz6oxuVowhVxC1T2kCp4EogSlBKpTU+I6DQ+b\n+9Itc11dMhbL7idn5cqquXJiYdPEAAAgAElEQVS0rD6u9xLV5UHkWmotqPLuT3PTANpLfRS+q1S5\nfEVRgYCXF9yFIdcuh6oc7irv3gQKvyxNGGgx5DfUFQpzXrbvJ+RVem5hOcKdL2DHGGsE8GMAfk15\n7oMAwDn/JIB3Afh1xlgSwDSAn+V+JveFQOm0BK6rVyV40WOCNavHNE1Omre6JWs/NTXZ8NDfLyHD\nqm+e6jiphVUaG60jtBKJV0oWvjE6OonNm0uya/zoR09h+/Z4VkVRteKoWp3UDNRXrgAnTsjX3DSl\nr60Vn2Nt7e3o7RUhvAR/6rLdc4sWeWs+X42qxPtT2Th1xQStsEOdKh8cvKBVbIewGuGuEu9NgBgM\n/6LLSO1SqNAwTD9hJmigc9pnsUI2cylsrQ/MKje48wXsOOdTADpNz31SWf4EgE+Y3xdmffvbwNgY\n8OKLS/H889kQZp7GXeQG19VlD9D7+uRjs6tz8uQr2Llzc1EcHi3hHpI72dVV+PYoJFbNi1OdVhX8\njx4dR11dI65dAy5ckOA/MZF7Pw0N2QDoNO3YUXioZzmpEu9PxVaxesjltZ9yAjqz8nDTKjUkE6g+\nuKvEe5MOv3SnUgCd3TH4AXg6LDM8qp6Orx71C78gBtbADQCks9LaKqGsp8fZUTG7K15D4xKJq9ha\nhDTuZNKYd/fGG82IRGTT8slJY3sANbzR3LRcLaCiFlGhMMpcxVPMDcrNhVOoX55VQ3I1VNScV6dO\nVv3pgghbrKmRDchzKZF4HfF4T9bzqZTzDwp2PzicPSuXzc5hIgHs3OnPOWoVX5Xq1oUO6iKmamvp\nVDD7KQbclUE4Jqna4K6SVOlQ54fCAHRmhc3BC6vKBe402NkokRBQ8Nprz+LBB+8KpVM2M2M/sDdX\nUVRDBtXG5tZ92HLTJOVwUb6d2rRchS9qUh6LGUGN8uvMOXaXLhkblKv5dQSL09PGSpxqXh31qvMa\nrBKNAg0Nd6G93VgoRc2dU3vJWeXNLVqEBSj1S9Goezi00/y88fuw2mVBQa3wKW+oS6crr4u9H1Bn\nhjc361q9p1DoKyPw0tKy0h0f/0FZ5FsVEoZZyPmFEejMisUiBcFdIa5d2MMxSXd8/Ad4/o/fXOrD\ncJQGOxvdnPnBcGhoPjCom5kR4Z5Xr8pJffzqqyvxyCPSmTFPc3O590GQQnl5LS3AqlUy36611Zh3\n19wMnDhxANu2bTIUVKGpoUEAXFBVQf1oUE4tGcxNyJ0aj09MAK+/Poy2tv4F6L1+Hbh40QjEuYqr\nRCJG0Gtvl8s0qc+1t4vp0qU6jI/7D4aAAOzOTjFpla/KxqnLQ57dukKgzgvM5bPNfCHPY95d6EMy\n3VaispB27cpLd3z8BwBE+ftygLt8VOlQRyrUvavkkEw6rzs+/gP81Z2l6RnoRhrsClAyKaCLYMwM\naVawpq6b7ZQZVVvbh44OGdLZ3g6sWJEd7mmVn0fuUTSP714icQUlqp3iixiTYZptHlrKJBLHEI/b\n92viXMCgVc6cGhZJnzV9N44dk4/tczHvACA+LxUArZadnguqDYNWaVV2UOcBvLyHYObxBQ8C5tzs\nKx/I8+DeeYK7MnMFy+47X6UiqNOyVjlBnapC3btK1+GL44iX+iBspMEOYsD9+uvZg/Jr14CDB9fg\n05+2ds2yq1gaZTVI7+/PHpyTg2MeqO/e/UzJqlM6KZXylmunNiqn8ErKsTOHTL7xRi9OnjQ2Jzfn\n15mbkZtz6xobg6kUyZh0N/v68tuG+mOAOt+9+zB6etZhdFR+1+hHgPPnxbK7HwOyYY9+CLCanzjR\nhpUrgWXL8jsfreClB7iKvDp1xQQ6p/17Bbwyg7DANDdd6iPQ8qgwu3b5hmHmez7lCnWkfOGuEl27\ncjofDXYAnn8eeOCB7OejUaCpqRtdXRK81q41OmjmZRXimprC4Z6kUsb2CmrunTpRzt3JkxvQ2Cgb\nm1MII0254KIwrfNlK9GosQk5hZk2NWU3HKf2EOfP92BsLNv9zKfwjZ1iMeuwyM7Oi4jHc5/7zIzR\nJVYBUH1ehcPTp+Xj7B6HW3DkCPAv/+LP+Wn5q0qHOk9unReoKzXQmZUv4LlQ6EMyC5QOywyvtFtn\nLT+BLuoSRpnFuikfctaK6dyVS54dKaz5dhrsAGzdCnznO9nhjY2NwFNPPVty14xz4YyRazM6agzp\nHB01DvLN7qKbVgyRiASdaLQJixcL+OnvN/a9ozw7q8bldgVUamqym5SrDcoJfjkHnnvueWzbdseC\nq0fVNKkxeTJpbEZu1Yic8uqomqeaUzc+LvLmKI9uYkIF1fW216e+3vjdMIM8TYsWiUIn6nOtrf4B\nPl3rnuwCmq40O2t0pZ9+ej/e8hY9aKoKlXMBlXKGOlWRqHu4067dgjTchU+lgLpUkiMaK+6v5V7d\nukKhzi3Ied1WIZCXT95dKVy7VLL4UBhGuNNgB9GzzMqx81vJpBhQE5ipc1pWH587dxtmZ92F4Jmh\nY/Xq7NA7tV+eWt2xpUUAG8FHIvFiyWC2u3sWg0VubDo7KyDve9/bjQ0btmflz5lz565eBS5fBo4f\nl59ZymGsFomIz4SATwU/qng5PNyD69ez1/O7cE9dnYBCAsOpqTFs3OjvPrT8UerkS+GGFDu5hDDX\nbp1bqPPxWvFitFFwA3gu4c61a1csWCygcIpW+JUL6sopbM1PsQJ+wfUT6HJt3w8nr5qU6/scNrjT\nYOdR1FeM3DGzi2b1mJavX3fednOzcbA/ODiFG25oynKA1McEbfkUSdESIqdx6dIZbN7s/f1UVEX9\n/FUn1QzyV66Igir0uhgDWbuF9fXWQJjr8aJFwjnVKk+lTr5U6kMIhwKGOu8Axyzfw/KBJbfuXTk3\nYPdL6RRSJ19CdMUtpT6Sqlc1hV8WI1cwaKBz2qdXwPMallmJuXbloKoEu2RShONZVbBUQxrHxoBT\np0T4Bz2+ft25R1ptrXGAvXQpsHGjhDWrQTgtmwt+JBIHi+acEZxcvw6cOdOIPXtk3p3aEmBiwtg6\nYGrK2LicCqmoPebU4ilqARWr4imM3bMQrmkunGIumqIWTjE3Ijc3IFfbO6j96VpbC4ditajKwIC3\n96bT4jp/5zu7ccMN27N+DDC7uadPAy+/LJYnJpy33dhoBD2rPNCLF3sxNmYstNLdLa6dVmlkgLp0\nqjxdu2LK4/UJwo1Tt+kJ8lyHZuYe/FV6rh0ADXdlpGrzhLyGYJYC6OyOwQvgVVu1TLdgGibXrirB\n7sgROIafNTXJgiiMRbB8uVjfKp9KfdzebgxpLLYo1FMFArOTaNeWwdij7XbH/ajwZM61o0IjKoQR\nmBGoEbhZ5didOnUWAwODC03J1fw6qrRJ4Eggef26mBNkEnQ6hUeqam4Wn2Usdhv6+qxz51QnVV0u\ntKhKJCL2tXTpDLbm7gtv0Nycda6l3ed99izw6qvy8xZQnV2w5WMfA/74jws7L62QKiR5dq7CMN0A\nmAeoCzS80mI/rgHPS95dNcp0bTTclU7l7NZ5rYjpxa0rR6hTFY2wwOCumly7sMBdVYLdwADwqU8Z\nK1qqOWpqCFsi8XLR8804F07ZhQv12LtXhO6p0+ho9jIN6p3U1GSE0oEBCaxqBchz5w5h27YNC86W\n6ng1NAQ7LkwkTiIeLzzJjnMBgFTVkxqM01ydKIfu2LEpxGJNGBoCDh2ShWicHNrGRgF4VOnSblmd\n2tv9CZ2trTXmy3kRVUp94ondWLduu6H9wi16zFQyWYZgVqNr5yPUFQvo7PbrCvDcwF25FFPxNb+u\n2nyf8CofqAtz6wO/5AXqwgZ0qry6d0E5d2GqjJkPkIYB7qoS7FpbgV/91eLsa27OCF9mSLOaRkeF\nMwVst9xmW5sRHtaskctWrpLXnKtE4hLi8Q2+XYNSiDEZptnV5e49VqGv6bQEHnNopPlzHR0FXntN\nLts5hoyJz4M+w64uYH5+Hb7xDWsQJED00w2ORsX3orc3v7xCLf+l8+o8yAXUlQrozHINeD44d9UQ\njglo104rWAUBo4VAXa0LeGTMuN5cntDl1b3TCp+qEuzy0cyM9cCeJhrMmwf7TnlQtbXGAfy6dcbH\nIyOHcddd67LcnliJPrVkMjvnztzjjsIjzbl2arsCamVATcpJjAHDwzfg0UeFK0hhm9Q+wZxbRyGg\nTnl1dXWFwRBVtGxv9/Y+zoUjZgXuly8bIX9oCBgaWoTnnnP+vtTVSchT5zTRYzPUNzeHo5+iVgGq\nINcuZximD0CWF9RF3YSHMrleyhtAuQK8XHBXLq6dH8oBuRruiqdCQjD9du1K0fLATm7dunygzg3M\nuX2/V8hzC3duXbtihGP63eqgkOMttWtXNWCn9oKzKpKiVi9U3Znh4TsW+qHZKRIxDrCXLgU2bTIO\nuK1C83I1ME8k3DWtdityn1QgVSGVrsfRozeitlbmYlEz8+zm1rnFmAQzKoRi1cuOjm92thPRqLGH\nHeXXuc2ZU1VTI4ulqC0faK7m0J0/34lYzAhJ5oI2Xs6b9rdyZe71E4ndiMfjmJ01/jhghkD1taNH\n5WOndhixmH31zOvXl+Oll4whumqOYUtLKFKyKl6u3Dq/4C6PPDuWTnprJh6Ucpy/J6BzA3Je3u8S\n9DiLFAZ3hSpIONRtDipO5ZxXF6SCgLpCYc7Ndt1Cnhe408pWKeEuBP+pi6P3vAf4z/90XofaDVCT\n6TVrgIGBUdx445KFwTAN+CmUrqOjNINfzmU/tcuXgZERuXz5snSG1MdjY87/d6mKYizWiL4+UR1x\n9WoBJ1RBkpqYU9NymqyallPhFC9KJJ63zWlMpYxNyakSJ7mG1ISc3MTxcZlTRz3pRNVPYzN3qU1Z\n+2xtNYZM0tw8LV4sXy/EUa2rA5YsEZMXTU1JyLMKG1Wfv3RJFBASP2gM4nOfs99uY6O4plrBSYdg\nKnICM7+grlCgc7PdHJBXENwVybUraUinS7DVrl15qBpy7azkFuqCAjqnfbkBvGoNyyz3Yi9VBXa3\n3ppd7p2cirY2a3cmkTiCeNzjKDsPzc2JwffIiIS0557rw49+ZIS3S5ckqCVt/u/W1UnIWLwY2LzZ\n6BqSI2Vuhk05eKVsUO6kaFSCo1+ivoRjY8CTT+7DihW3OuZCHj4s5uPj9ttsb5ewR5P62Lzc2Fj4\neVA4an+/t/f98IdP4dZb45aVNK9do1xPrdAo7CGZJS5UYqugYC7X/hwALyfc5amyz7Pz6FZquAtO\n1ejWuQFQNy6VG6grJtDZ7TsX4LmBOzeN2aupOiapVK5d1YDdO99ZvH2l00Y3zWoieKO50TkirQEg\noItAYM0a4M47jS7R4sUS4hYvLl3LhVRKuGiUazc9bcyzoxw7Nc/OnGP32msdmJmx719HBVEIZPIN\nlSRFoxJ2z54dh1uenZuz/kzNzumJE8CePeJ5OxCvrwdaW7ejv9/aAaRlmjo7Cz9vUiQiQ0aXL/dn\nm1ruVTK3rkRtDxzDOfN060IHdeZ95wt3IXDtPEmHYVaU/IY6P127MOXZWSnsUKeqNhbxBe5KKT/z\n6/yGz1LAXdWAXb6am4vg/HljYRS7ghg0dwp5JDeNBuvLl2c7OTSAf+ONZ/GOd9xVlGIpBKNXrgCH\nDrUs5COqLo4azkitA6iYyuRkfjl42brJ09o1NdkFU8w5deYG3eZiI26rhaqqrRW5lEuXulufc3Ht\nVPBTQfDAgauIRntx+TJw7Jh43skVpBBRAj11oufM59nSoouohEl5Q13YXbsiyhHqvACdl/xBdV03\nzlgO9y5vuKtE5Xmu2rUrD1VCSGYut85vqHOdo8ey13ULY37AXSU0Lq8UR7EqwI4ad5ubN6vFUtQi\nImop++npe2y3W19vHEzfdJN1LpbquuQqmKLq8uX5vKFudlaCw6VLYqLHZmcpO//u1qztNTYae921\ntAC9vWJOYKU2LW9slHl21LDcqoCKuXjK3r37sHnzrUilpMNHjp+aW0fO4NSUsVcd5dRduiRA6upV\nZ0ACxDl0dgJ1dbdg5UojYHd3i2V1nk+VSWpxsGiRcF3NSiQOIx7vNTxn5QrS52XOoTxyRDx3/br9\nMVARFbV65tzcOnz96/bFVQiI6+u9na9WwPJjsB+SZuU5ZQOxBUOdH8VgvECeg3sXVFhm0eSHW1dN\nABtyVWMIZjHkFuj86nenbicX5HnJvdPypmK7dhUNdg8+CDzzjHMJeUCAiDqgXbFC5ON1dABXr57A\nbbettKxu6UdulFtR+fzhYTFdumSc0zJN1qGdYnCv5nht3iweq+d3/vyriMdvMgzs83G18tHk5Dju\nuMPfbVIeHYG9nft69Og8Ll8WzclHRgQ0Wqm+XgBed7doDm6eq8udnfk3I/fqCgKyb6JVCw4CeJpf\nuAAMDbVh9+7c8FtXJ74HL77oPY9PK1vlWDAl0MqYdpDmN9QFWdnTDeTlA3d27mwYwzFLKO3alYcq\nwbWzkxOOuYG6IBuYu21A7uTehTEk068wzEpx6wAfwY4xdgrAOIAUgCTnfKvpdQbgnwA8CGAKwEOc\n80BHN/E4sHatDL9TC6eo7oSTG5FInEE87qJefR6anxduiwpkKrAdOrQJyaR83qqkPWMCHnp6BKjd\ncouEDtVlouW2ttxuUyIxiu3WvdELFueylQH1slPPZW6OIZkUMORnM24KS3RSInHAUDRmasra9VRh\nemgIePll8ZxVDl0kIp0/K/ij6eLFekxNFf5jQW2tcFJ7e3OvK875BcTj8QVXm9peqO0v1IIqbW2F\nHV8pFMZ7kz/y4R+a364dT5esgAoAe6grdqsG2p8V4OXZB6+YKnrxFZ/cunKDuzDem8rFrQsizy4X\ncDqFYTpBWS6oCxLo7PblBGj5wl2ucMywFlApxjEV07Xz+7/dvZzzyzavPQBRDWQNgG0A/jUzD0wf\n+lCQW8/W/LyxsqXVpALc6Kj1dmpqxMC/oaEWq1YBN96Y7QTR8uLFwTYsn5+XLg+5P2ofQMq1o/nE\nhGw9QO0I1Gbluass7lxYisWyi6ZQVUxqt6Dm1al96gjm1dBDr9DU2AgMDooplziXrQQI+oaHxWeu\nOqp79ojlbBdZkHRTkzWQ09w8+VUhlJzcri5/thdChebe5KtbV5X5djaDoAKgznWrBMYM6+YMn4zE\n3OXhKcdRdiGZhYZh6hDM0NybigV1pXDteJqDFRGgSH5CXZ3DtiKOfqH1fvOFuyDFQ+YI+qliwV0x\nf8b8CQCf5ZxzALsZY4sYY0s45xeKeAyulUwKiDl9uhG7dtnnNqmFMK5etd4WY7KyZU8PsHGjXDaH\n9HV3S1ctkdjne9uBVEoc78WL2SGdBJ7Hj9+ykN/llLMFCLBobZWARb0A+/pknl19fXaenblJOSDG\nB8eOncDg4MqFxuTz8wIKZ2ez+9aNjIiqk5RblyucsKFB5j4SGKmu2fBwJxobJTh7ySujz7ijA1jn\noqf81JTRoX3mmcNob19n+BzOnQP27XOuqNnYmF10R83ttCqw4me7iApR0e5NgYRgVircWZyTLYBZ\nQV0OoPPUzNzFNuwLoNi4dzZhmZ7gziYc07HlQZjAMQCoKzfXLofKatzkRZUUkpmP4+bmPU4g52b9\nWRcFUQD3RVbU94UiJJMXfgxhdBALlZ9gxwF8jzHGAfxvzvmnTK/3ATirPD6XeS7QG9TMjHOhFHUi\nV+rKFTVH7fasbVJlSxpQDw5mtx8wV7nMN8/KrcbHRc7UxYtiTsvmaWTE+gfWmhq1OEgSN9xgrK6o\nVlmk3LvWVv9z7woJfU2nxXUwF8m5fFl+rmqLCao+Kd2zTfiTP5Hba2sTIY1LlsjwRvUxNRLv7PQe\nNtrYKCqiUouBlpaLiMetiZAqalIPQ7X4DS2TU3z0aG4gJ8Dt7AQikZuxcqX8bNVJDVluby/rqpqh\nvDeFRh7CMQPJsysUsDxCnR9A57RdR8BzCXdlI93ioFCF5t5ULiGYqorZ9sBN7zqz7Ny6XFDnFejc\nbMcJ8uxALR/XrpyqY5YC6orh2jHuA/ECAGNsKed8iDHWDeD7AH6Lc/608vq3AfwV53xX5vEPAHyI\nc77PtJ0PAPgAAPT09Nz62GOPYWJiAs3Nza6O4/OfX4Ynn+zBxEQM4+MxzM3ZExVjHC0tSTQ3J9Ha\nOo+2tnnDcmtrErW14+jujmYez6OtLYn6+lRRBrjXr0+A83ZcuVK7MI2N1eLKlTpcuVKL0VF6vg4z\nM9nnGYul0dExh/b2OXR2ijk97uiYR3v7XGaaR1NTcuGcvFxvv1WKfc/ORjA2VoOhoSRmZhZhbKwW\nY2M1GB2tzZqmp7MHjHSdaersnENn56yyLK97LGb99+b3ec/NMYyP1+D69Rpcu1aDa9diuH69RpnE\n46tXGSYn6zE+Lh4nkw6hHhGO5uYkWlrmsWTJDP7n/3w1r2O7995795lzSYJUWO5NmLOpxpOnJmaS\naK5Xv48F3JQ8vZVhYmYOzfV2v+rYb4xbvuR252K9iekZNDdk7HQvN2IfbtoTk1NobnIZ0+3lf6vl\nuvI5wzk7rKeK2e4+13EZX5+YmUdzvU3jzIKGD7nfnP0d96Ba7wnLlXRvArz9Xzl8MUfIi0d11qVx\nZTY3oBT8V2n6u+6sTeGKzbivkFuAXRNu9dlFsSSuJmPO+3I4Bq/hlKpao0lcT+X+W0k7/d3ZvGR3\nK6On22NJjCVjyvr53xi8vLWzNuXqO2a7r7zf6f77baV1vS15vc/t/cm3n14550OZ+SXG2NcgrK6n\nlVXOARhQHvcDGLLYzqcAfAoAtm7dyuPxOBKJhOuQxNdfF46NVZEUWu7sFPO2NoZIpAZADQDr+DQv\n+3YjzoVDRHlXqptGj6XjlkYqlf3FaWmRbtH69cI9WrpUPkfOUkdHBJFIPQBvteqdzpmOnyorUmEN\n6nNHIZGTkzLfjkIo1Tw7tUk5iTFgZmYSra1NC43J6+rERC0UmprEZJVXR58zFcrxWhNCnPcmx3Um\nJoyfkZgiuHChHhcv1uPCBeCNN4RrZqWuLuNntGSJCPscHT2Ee+/dgN5e8bijoziV6NXPmnPxualu\ntrE9CMPYWA2uXq1BQ0Oj72HCQSks9ya/wzCfOXoRd68xVckpJCTT5ReOR2LYdeg0dmywST61ccRs\nnT6r9R3CMJ995XXctXm9a6fO0aHzeL2e27MXd95u8X/VIaTQ0sGzCpM0OXfq+3btP4wdN6+z3o+N\nQ5hvKKb5fc8cPoe711mUwi3ErXMZgmn5HXepcgjHDPLeBLgfvwi3zt8y3+9bOYXPnHC3zUJDMlXX\n7r39E3jknDXM5sqxczoOO8dOdd9+unMMX73S7tmpc+vQ1cbs71fx+ot4arYXc0l3f1t2Dp5diKWV\nc0frvmvxVXx5ZNHC806OXS6XzG2OXSrJ8YuDE/jc6fx+EC/UrfPy/c7SiVSgrp0vYMcYawIQ4ZyP\nZ5bvB/AXptW+CeA3GWOPQST/XgsiTvzXf11MxVQqJQbB5uqW5kIaNE1PZ28jEhGhkDTo37gRmJs7\ni23bBrNC/5qa/D3+dFqE8RGwJBK92L3b2EJBDf+bm3PeHhU3UfvaUZ5dS4sI+6ypsc6xGx6eQnt7\nE+bnZf+6sTFRfZKKskxM5G5hEYnIvEarqpTq9ezpEcfmRs3NwOrVYnLS/Ly4fmpYrHn5yBGxjqh2\nugEf+5h8fywmjp1Az1xF01z51O3xO4kx2eh9YCD3+uWgsNyb0if2FqdaZIjz7QoJ43QVPukF6vy+\nRrQ9C2CxzJlzUVSlLAupuFGRiqWkT+xFZGXRzDfPCsu9CShdYRFSuebbecmtywfqnEDO7XvsQK8u\nFrGEOy/5c6HJtfOoUufVBV0gxi/HrgfA1zJWdQzAI5zz7zLGPggAnPNPAvgORMneYxBle9/v0759\nFecCIKhQyt697RgaMhZJoTkBz+io9Y+XBGsEE6tXy0G6OmDv7RXrmfPwEomTiMddlGR0OJfr10UR\njqEh4Px5uUwTwUbK8Lcvcr2amyU8LFsmWikQKKlNrhctEq5Za6sEt3yVSBx09QtjOi3gjnLqrl2T\nDhN9dupndegQ8KMf2Vci7ewE2tq2Ys0a2Tuur0/0bKPl7m73LlpNjXhvrp5vlD/3zW/uwbJlty+4\ntuYfAw4dUiEwW62t2RUzzfmeaiGVtrby6E3tg0Jzb2I8HVh+l0H5wp3LXLuil8K3ktmtcwt1ua5L\nzs+HOfePswE8V3DnJt8uEg0UjFx/tvm6dboCpqpQ3Ju2f/RJAHKwWUrAy1duc+3yBVgv+XVWbp1X\nqMsH6OyPR2zLCvC8wF0xqmR6cevKUer5bf/ok9j94fsC2Y8vYMc5PwHgZovnP6kscwC/4cf+3Gpm\nxl2hFHW6fNk8eJanRT3jaLC8fj2wc2d2OXpyVzo6giuaQi7buXMC2Ajazp6Vj8+ft3a2Ojtl6OaN\nN2aHcZ46tRs/+ZPbfXcG/VQkImCmtVVAl1vNzwsgv3DB6KgNDQGvvjqDK1eaceCAgCvz2KWmRkIf\nQVt/vwTAvj7xmpeCMowJMF62bAq5eJZzAbLkBKvtM6gf4sgIcOaMqKbp5K5Sb7+GhtswMGCsmknh\nrOaCOeVYQCUM96b0ib0Ly0WDu3zlR1+7QnvZ+eCmZV1jpybf+cj8vixoywa8fBy4inXtApR6vcLs\n2oXh3mR5XCVy78rVtctXVlDnBujsINEuB9C8bTPg2cFdIQpzAZVSuXXFbONQ5K6twWhkBPjlXzbm\nA42NCbCzUzRqrPi4fDlw663ZZeLPnn0Z9923Bd3dYgAedHVLQDiG588Dr7zShgsXJLyprtuFC9k9\n4WIxAWf9/cCmTcADDxiBo69PTLnK+M/Pz7iGutlZCcmUb3ftmnAKr18XYEk97aanZXgl5dmp8BSJ\nAFevbkRPj4AoCt9sbBSTuWedmlfX2SnCPnNBR02NvA5mJRKvLbiFqZSAJxWS6dqfOwfs3w98+9vi\nszKru9sIezTRZ7B0qbSJK4YAACAASURBVDhur4DEmITZXKGggARBci3phwv1R4zDhycRiTTh1CkB\ng1eu5P67MVfL/O//HXjLW7ydSzWrKHAXeEhm8f5JZV0r8x+Oya1zBXV+X3/anhXgOcFdPq6dm8MJ\nstVBiN06DcHeRG6dWRrucssKsKz+p1ut5wXqCgn3tK50GXUFd6Vy7YJUKaDOCeiCcu0qAuxqa8Vg\nu71d9BBzKphCEODWeUgkrmH9en+Oc2IiO8+KwiHVueyHt2XhvU1NEhZ27pSwMDAgl7u7/QHPVEoc\nC8EkHZsaIkjuUK7ecYyJY1d72lGOXSxmzLFLpYBr1+owMSEBkIBwctK+lxuprs7omppz6VSwypWT\nFo1Kd+6226zX4Vx8VgR9Zrf0zBng+eetC6nU18tjWroUSKdX44UXjM5pvq0USCoIrrTpIJFIHEI8\n3m14bnpautnm9iBWLUPswkO1jG6dKhqABgp4AYdkhkJeoc5rYRezGDOsmwVQVoDnFe5KJFdhmCGF\nOiegC7NrF2aVKjQzX7grZusDt3IDdX4AXa79ZwNatnvnFu6COE4vyjcMM2xQF6QqAuza2oCXXy7N\nvqemjI2+zTlSVPHywgUBJ2bV1spB/Nq1wJveJAFkZGQ/HnjgZvT3i8G5H+JcgMbp0wI8zp41TsId\n3Jn1/5sx4WASMG3bJkCS+vmpEK3m2zU0eAMTp6bsc3PSCbx+XfarU3vUXb4sr/1rr4m52dkEBPxR\nKOXAgJgmJroRjYp8wr4+AZ5OYkye88aN9uvNzBjzGgn8COT37wfOnevFV76S/d6aGnG91Uqa9Bmo\nRVV6eoSD6UeYZEODvaup5a8Cd+9CXEwlL1lVwswoH6grtCefLeSZ8/BywZ2qcu9tZ1YJoU7LXnZu\nnVmlcO+CdO6COh+7Spiq3ECdEyg57YPB3lFzArxccFcsBQlBYYa6IFy7igA7v0Tl3tVCKU8/3YN9\n+2RVSHKqKLfJCtYAMcimgfittxobW6s5bR0d9oPxRGIMGzZ4O4f5eQFnZ84IeFMnAjlzVc76egEz\n/f3AvfcCqdQZ3Hnn4IK7tXSpgIdCiqL4odpaCZJuxbkAP3IgzWGVp08Du3YJQFQrU0YiAmwGB8W1\nGRyUy/TYbfuy+nrhmNm5ZgCQSOzC1q1xUxsF+aPA8LD47PbscW4yT7meas4nPTYXU1m0KHsbWsVX\n4O5dPnDnwrULpFm5Sc6tChz2rZ6vB6DjLn4ZoXWYqeESbXMB8MzunRPcObh2xcjJDMytC7LQiweg\n065dYSqXwiqFFtXwEyjNgJYL6uyAzg0w2q1vhjwrwMsFd2bXrpBwzEIBqxyKppTKpVNVsWA3P28s\nmkJ5YOaCKeaco+ywMhGHWVMjB8jd3bLCpVr1srtbgFt3tz/l56107ZoANHVSwW1oKPv/b0+PAJGb\nbwbe9jYJKeRUdXUZ4TKfapxzc8ZrSb3trl8X4ZoTEzKskvrZUY4djY8iEWB0dD0eflhAHPWua2wU\n7l9rq8yto5Dari7n3DoqeNPZ6eyqTUwAX/3qHvT23o4zZ4BTpyQIP/888KUvZYeCdnQYgU8Fv2XL\nvFXRBAQorlkjJielUuIamytnqj84jIyIfnojI/Y/PogCNHeit9dYMVMtoqIWUKHJqwtbrbILw7RT\noO5dQHBnq0ILqHjdnbovB6izAjo3MGe9T/k+FfJ4JGbv3rmtahmEa1dsZyskUKfln4rp3uUNWQU0\nxw5K+UBdLqCrVa7NnA0w0TasAM8L3IVB5RCCGQaoA8oc7F55BfjEJ6waKTv3OaMeZzSYXb4c2LpV\nPlZLxR879gLe/vZtaG0NfjA7OSmLc5w7Bzz99CAefVSGSZ45I0BJFZXVHxwE3vxmAWrLl0vg6O8X\nA/F8lUwKx+jMGXlc5lYJw8MCOJ0UiwlAa2gQ0FtbK56LRsV15VyMI8fHW3DihIC/mRnZ3NxJDQ0y\nn44cUbVyJQGs03VobnauTEl5h2YH9MwZ4OhR4Mkns79ztbVy3+qkVtTMJ4cuGpU/MGxy7qcOQFxD\ntQ8htYIYGQEOHBhBXV0fRkaAkyeBF18UrzvlzdXVGUNvabr3XuD9oWxiUj4K1L0LICyzGK7dgtQw\nTGWf+UCdHczlyifhXKxjHoiZXTxL984C7ty6dgb53PIgELcuIKjTQOeP3IZhWqmY7l1QIZlBA6pz\nOKUz1FkBXW2Oa1AbjYAxe9izArxccGc+xiD71QUFRMWCukKP3+9wzLIGu8uXgccfl9URly0TrpRa\nop2KpqguRGur+x+iZ2am0dZW2HGmUsJFscqzUsMCZdEU0gosXizOa9UqkX9HcECOW29vYQVTUilx\nPCdPAidOiPnu3evwkY9Ixypl+ltvaJDwdPPN0q1cvFhe5/Z26bC1trpvAZBI7MnKsUsmZc+6a9eM\neXUEKJTPePQo8NRTFFppFPXjW75cTCtWiPDIFSvE9XRSNCph7K67sl+nfnTkoKqO6tmz4pjOn8++\nlnV1YpvNzZsXWk9Q7zyalizJXcnUSQ0N0kU0K5E4injcmEzHuYBBtSWI2iNQnY+NifM7cED8bWkJ\neXXrzArMvfMKd+VUSEWVcu3M4GmGunwGLOp71IEZZ8zevcvHuQuDvF6ekEKdDsf0V8UCvHzgLuhC\nKm5gjOTUgFzdTj5A5yR6rxnwnOBOlZNrV+zqmPm4dcWAurA4dGaVNdjdd58YLJdCVEreXDBFLZYy\nNCSfN//gGYlId2nVKlHpksrjU77b8eNP4/777yn4WCcnBbQdP26cnzghQg7VXmeMAYsXL8INNwiA\nMYdt9vcLWCtmKF4sJuB90SJxDG40PS2uv+p2ktN24ADwX/+V7Up1dd2B9evF50E5catWibDbXM4a\n9aNbtAi46SbrdVIp8X2gfoPUxuLcOeDgQRHyOTRk7Za1t8u8TLWQirmgSmdn4eNwxmQIrNvrreW/\nAnPvfIY7W9fOIhzTb4fP1q2j1x1cOvOAxu2/aFqPtkbboUGalXvn5Irl5do5yHJfNlCU060LgVOn\nXTp/VYhbZ6VihGeWUxsEJ6lunRPUWQFdruqTDAxRZpFDZwI8s3unwp2Ta+e873CpKE6dz0znp2tX\n1mDntyhkjQqnjIwAzz/fjyeekK4Q5TAND2cXIQHE+Ects3/LLbKs/ZIlxtYEuaounj3r7svJuQAG\nFdhUiBseNq7f1iaA5eabgZ/6KQEwy5eL+bJlwHPP7batTOmk6WljKwRzrt3EhKgiOjMj8+zMOXbX\nrm3C0qXCoWpsFPlz1LeO2lV0dcm8RjvIbGgQ57hqlfWxptPiWMmlPHkSePbZMUxO9uKJJwSYq2pp\nkaBnBr+BAXeOZDQqP/9t24yvJRKvIB6Pg3PhgpkrZ6otJ3btEnOrEFU1TFN1Us1zCjUOYTqClkmB\nuHeVVi3TIgTTDuq8AJ0Z2uzexyzWVd27Bbjz4tqVW3XMMnAgtWsXjIrh3nmFu1yunR2QFgqR6r1C\ndevcQJ0Z6JxgTt22VZsC0gK0WQBeLrhTXbtCwzHtYCuX6+XVrQsa6sLq0qmqSLDjXECEuWCKWtxD\nLY9Pk3WRidVZ1QbXrpUDZ4I4mnd1+d/EnAb7p09LCDl1yhg+qQ7yGRPO2qpVolgKQcjq1eK59nbv\nx5BKCWeJ9k3hhmreXXYoqRRBWlOTbDxeW5udYzc2VovxcXE+U1Pic5yYsAeQ+nrZHoLy6QYHjeGW\nVrl1kYh0vyi0MpE4jHi8F4CA1JMnjYB8/Lhw1r71LaPLGYmI/RIgr1ghp+XLxT7cumiMyVBip/w5\nCv1UXWKC6osX5Y8PR486V2+Nxe5ZAD0qnmIuomIuprJokf/f8UpSoWGYVgrEvfMCd/m6dn7Jos2B\n5bWwqoBpA3XqLSXXgIVe5+CWYZgcRgfPCu4Mx2hyoRzbH4g3OR5fPvLVrfMZ6rRLV54K2r3zG+5K\nITdQl6uipll1sQhY0hr2zJUwa6ORnHAXFmmoy09lCXbHjwOf+YyxYIpaOGV01LmZdWurGKASqK1f\nb3QxaLm7GzhyZBfe9rYdgYYeUoieOWTwpZc2YmJCLJuLprS1CWhYtw548EGZL7ZqlQCbfKpyplJi\n/3v2dODVV4Fjx+R06pSxHxxjAmYHBmT/PQoR7OmRcEB97XK5kySrPnbptIC7q1eNeXUENBTOuHs3\n8OUvZ/etW7pUQi1VnbzhBvFcY6P1cTQ0ABs2wLLdRDotQJaA79Qp6ZR+97vZbh8VUVGL2qjVM/v7\n3V0bVWro59q1udefmjK26yBX+qWXzqKhYXDhR48DB+QPIk7jOqpMalVE5Z57gAce8H5OWrnlO+D5\nCHeWKkZ1TIcQTG4RmuQEdG7+b6c5QOMu1aVTQzQNz2fgzjIksxi5dvlAkoa6ipTfYZhWCnrw62dY\nplsQTSbTiHlsO6DKql+dG6izAjq7fD5mzt/PrGfluNnBnXq8+YRkkpIu8+/8/K4ECXXFAjq/wjHL\nEuzOnwc++lFj6fv2djFAVoumkMPQ3i5Bo6PDWz+2oaFkQVA3Py/D6QhAaFLzrMwg2tYGdHbW48Yb\nRf4duT+DgwLg8nHdSKOjwJEjcjp8WMyPHycnSiSJtbQI+LnpJuCnf1qAETlRbsMP/ZAoyy8mqwIg\nqtJpAXuqo0lu2+OPA//+78b1ly0TkLduHRCJ9GF+Xiz399vn1EUispDKPRYpkNPT0l1V56dPA9/5\njjg+sxYtuhMrV8pcRnIgKXSzr0+4nfmqsVFCpSq71hbptHAEVYebCqaQA07LY2PiBwFanpurXrAL\nwq2zkq+DX5/gzq1rF5i7ZwrBdII69Tm7/9kph//l6nsiLBvwzO5dFtxZuHZygzny7BxAylWFy1zr\nlQjqigV0OhyzSOLBOXhe4K5Urp0VlFm2NbCAuuz2CO7O1aqHnQp4dnCn7t/8Y5cfrQ/ygS4vbl1Q\nUFcuDp1ZZQl2d90lgKmU4WCUT0aFUtSCKWpe1MhIdhhhfb0YqA8MAHffLeDCXO2yrQ1IJPbmlesG\niOtz8qToZUbgRhA3MiLXq6kR8LZ2LfD2tws3a2rqZbznPVvQ3e2tSMrUlIRVctNGRqSLeu2acN4m\nJ0WoJfWyo+sTiwHJ5DYsWiRApLlZwNyiRTJEkEJeCXzMRU0iEVlN8s47s49xYkKEJ77xhpwOHxYO\n8Pj4Gvyv/yXWa2oSwLd2rZzWrRPP5QKshgax7rp11q/Pzkp3loq7vPDCZaRSS3HihKigaRXW2tqa\nXS1TLaZCcz9ac0Qi0oFbvdr9+zjPrvypFZx8y7/zCndelMu18+LqFQCEZqhT/2c7QZx5G+q6USa3\nQ4Bn5d6pcGe77ZzhmFZvyrF+kLDkE9Rph66yFVT+nV9wZwWfebuCFrtwcusI6uzz8uzDM7N2zZgh\n7NJcJIUAzbBOBu7cunZ24Zr54I8TNJUa6soV6EhlCXZBAJ3I7zKGq126BOzZM4j//M/sZtDm0EhA\nDIa7u2WRlNtvNxZMIRjp6PCnqmQ6LSDSDCpHjginSnUBFy8WcPKOd0jouOEG4b6ZHcxE4hp6erL3\nx7k49yNHxD6PHRNOGOXdXbmS/Z6aGmNIZmurgI/6euH41dTIHLtUCjh79jra2howNSUA8NQpATl2\nvQnJiaLiL6tXSyBbvjz7u9LcDGzZIibzuX3lK8+hq+vOBRA+fBh44QXgi180wnlfn9g+hXRSWOfK\nle5czLo6sb4KTInEG4jHly48pp6G588b22PQDwa7dom5muunbp/yP2migio0Ucjx/Ly//2wZcx92\nq+WPfAvPpIF6AUVVitXXbuFc6VhzuHV2UJcywJ2Lf+ZcrhdlbOH9BHhm985yE2bXrsitD3xx63w4\nXg10xVUxwjCdFIR7V6pqmVa9LHOJ1ncDdXZA5+TcMciwSjvAs3LfzHAXxlw7OwVxlKWGOj/CMSty\nCJZKSRgwh5JRLhHlGNH8yhW7/2kr0NEhB8dbtsg8siVL5Ly3VwyU/R7Uzs8LZ0cNKaS8t+PHjZU5\nCRg2bgTe+U4JH+vWeesxxrmAitdeE8VCDh0S0+HDRieptlYWC9m6VbqN/f3y2nhtjZBIvI543IIq\nIc710iUBs+fPC6eLiricOAE8+6wRuGtrBXStXy/z5TZuFM+ZPyfGgK6uOcTjyGpSPjNjhGaaf+lL\nxn55kYi4BgRtBHs0NTe7vw5NTdIptBMV1SF3VJ3ITT53Dti3T1w3aydtJ9rajDmmboqoFCsMt5xU\nrDBMO/kKeLngzuF/nyXcmVy5IAHQCepyAV0utuOZdRizBjyS6t55ce2c9+ysLGCzAKeCoa5CXDod\njlkaBeHeuYW7orl2yF3sxOk9BGK2RVbscuyY8XUrwFPhrlgAZ+Wo+eHW+e3UlRro/FRZgR3nwMMP\nOxdNGR0V8GH3vzMSMVYAXL8e2LFDOhjm0vAHDz6F++7bGdg5JZMCUigH69QpWYzj9de3Y2TE+P+2\nrk4WSfmxHxPgRi7VwID32gZXrwqAO3AAePVVMd+//y6DO9bdLaDoZ39WXK+1a8X+li3z5p5yLpyo\n8XHZ9mB+3hiKefZsA86eFfl9LS3G7Tc0WOeJqdsfGRFuIjluhw8DL78MfOUr8jrW1opz2LRJTDfd\nJOZOlTdvusm6P92VKwL0yMGk+WOPZTdJX7xYFrmhqp3Ll4vrODPj/R+BWkHTqsiLqnRafNbDw7L4\nzKVLwIsvnkRz84qFHznOnBHXa2TEup8eqalJ7pvyWs2FVN7+duFuahVXvoRnuoG7kDUvV0HRDdQR\nmKl/924GOuZf61MwAp7q3tExMNP7XOXaFVNFgrpSA51WOOQ34PkBd7mUTwEVCsPM5dbZQV2thYOn\nvp69v+zjU104O7izc+0oHNNLnp3bwilWKgXUVRLQkcoK7BgDfvM3BRCoOUBUJIUaSZuLp6hTW5u3\nsciRI/l/6Om0GCCrxVIoB+3MGTGdP5/tpPT2CgDYtOkatm+vXwC5FSvEQDmfsdT8vICdAweMEHfm\njFxn0SLhaL3pTZdw//192LQJuPFGcd1yiSpqUgXN06fFuZ4/b8y1c6pWKmRs8LZokcytW7pUuIHm\n0EtqZ8CYDDWkFgakmRkBea++KlzI114DnnkGeOQRuU5z813YskWC3saNYt7aan+0nZ3AHXeIyazR\nURmqSvMTJ4A9e0T1TuO1uAddXdnVMskB7e8X55+vUxaJSAhbv14+v379acTjKyzfMzmZ7XibC6fQ\nc6+/Ln9kISBct06DXanki3tXANx5du0KqZ6pvE9tbZAL6qyALtdwgdM6Fi0PUuBZcAcl546OLH/X\nznwwDkfrxa0rAtRpoCutSh2GaSc/Aa9QuCtGo3VVVlDnBHQGB8/iPO1y7EiUQ1cq545kB1JuoK5a\ngK7QcMyyAjtAOCKtrcLNCbIFgZM4FwNac8EUtfolNZc2l96vqZFwEo/LQTw5UYODwiECnMMS7ZRK\nCXg4eFACzGuvCaijY4nFhGO1Y4d0rTZtEhDBGJBIHEU8bj0iT6UEpOzfbwzVlBU1haJRCWI33CD2\n1dEhQK21VeTGNTSIY4lExDVNJoGXXz6E5cs3YGJCVmW8fFlc6/37RQ85c2P4gQEBERs3iummm4SD\npbYyqK8HNm8Wk6qxMelYPvHEJVy+3IfPfla4iqTBQbntG28U07p19q0SSARSt91mfR2HhqRT+6Mf\nnUA0uhJnzggH8Ac/MB4DqbtbwJJaRMVcSKW721vlVztR38FclUjNmp4W19VL+K9WMCoY8PyGO7/2\n6SB1kGJY5tkunRnocg5weGadzAAqAiXMkkv3DmBZcAfYuHaA+zw7m3VyVcMsCOoKyGQJM9DpcMzw\nyC/AS6XSrr6tbp27IHL4VCjLBXV2MFdjcZ2Yss5c5o6munSqG2eGO9q+uUpmoTKDWBigLsxA55fK\nDuzy6fnlRsmkzLe7dEk2eH7xxRX43Odk3hJNZmADjFULd+40Fkyhqbvbn+il6WkZcvj663I6fNgY\nQrdihQCRt75VOlFr17pzfubmBLjt3Qu89JII0TtwQIRRAuI8Vq0SEPWOd8iw0BUrxDXIJ9+wq+sS\n4nH7uELOxed06pTMN6Rr8MlPSuiLRARQbtkC3HKLyAHcskU4tqra20Vl0rvvBjZsEEDLuXAfydkk\nOP7e9+Tnzpg4z/Xr5URFadwATTQqK6Hu2AH09Z1BPL7SsM7169LlpR8LqKDK+fPAiy+K76n1dRTO\nL+WDUo6ouZDK7Kz/oXQNDdZN4StZpc6vy6WCAM9NURW3cOdnXzvleMwAqf7rTvNsqLMDOjf/8rmy\n/kK8pVIwRebfCbij7VO+XeAywVTeUFeASxdmoNMKr/wEvHyALJdrV0g/O6eCKCrUZYVjZs5DhbmI\nFdgxdR0j4Fm1QbBrTm5VIdNJ6o9hhYRhOu7DB6irBqAjlR3YuREVT7EqmEJzgjiazPlQpGh0wFBd\n8KabjMVTenulY1JInzErJZNsoVDK0aOy+uWRI8LloV+dGROu0vr1wH33CdC68UYxb2lxt69USmx3\nzx7ga19bgw99SDhk5MK1tQkw+sAHZL7Zhg25B/BXrwowGRoSQHz5srjW4+MCwmZnZTGCmhrgypXV\n+N73qI+frDLa3y+ueSQicyHNTlg6LdzK/fsFkL3yiqge+eijcp01awTk3X67eP+WLdnOG13PwUHg\nbW+Tz8/Pi8+AiskcPCiA8sknjTDd1SXzEKliJkGvl+9Ia6t0CO00Py+u69CQdJAvXJDFU4aHgeee\nEwA4OWm1hXvQ1CSvKRVQoeIpaj6qOuniKeWpggEvD7jLkgJ3voVjwhiGCcgQTLWwCUGdCnTc8B65\nbP7tPwKWgTrxOBoBkmkuYE0BPII7QO7bPA4rOBxTASe3vesMCgjqNNCFT2ENw3SSH4CXC+7chmTa\nbcdtZUw7161OgTggG+pUoFNBrsbmHhuBXK9GeRYQgGeukKk+tnLtCg3R9MutKxTqyhXoCgnHLBuw\no6IOVByFmiGrc8r5cSqeQuX3afB6883ZRVN6euR8//6nce+98UDOiUI61YIpNB0/Dpw6dY/h/29z\nswCG7duBhx4y9ljLFRZo3u+JE8KJe/FFMe3bJwf+jY092LYN+O3fBm69VYDQqlX2oa+cC9Ck8MxD\nhwSAHjtm3Y+NMXEujY2iGEwkIsYZ8/PAxEQP/uu/rHPx6uqES0YNxSnscv16ARqRiKxG+c53yveN\njIhz3bdPzJ9+WsJeJCLA6bbbgLa2JWhpEa6mFbjU1MjqmqpSKZE/pxZsOXoU+O53sxui9/SIa0mV\nMqnh+/BwHVIp7608KLTXjZM9OSmLp9B89+4TaGlZaSiocvCg+F5ag6BQc7OxeIpdAZXly61DUbVK\nq7wBLw+4yyskM7Mfr4VgzKC28Hwmp84K6mjcQCBnN45IgWdy7DJ7SIsbYjRicvAyAz7KuVOPjQZL\nXkqle4IlN25dAFCngU4rCBUKePnCXZAy/+1TaKQZ6sh9i0TYAszVRI3vjTCGdGawyxjQWBPFfIoD\nEWA+nTYAHsEdIF05FdwKBTknt64UUFeuQOeHygbsvvUt4Dd+Qz6ORES+ljqgXLnSWJKdllXHwWvz\n5kLy+GZnZVl+akhNE+VWmQfPnZ1ioH/77cCdd57Bm940uOD29PR4Px6CuH37RDglwQ0BV12dcK3e\n/34xAL/tNuDChV1405vittu8eBHYvVu4ewSFquO5bJkAr/e+V5zLsmXC1SRgbm21/2E/kXgWO3fG\nMT0t4ILcqLNnZfjlG28Ajz8uwyJrawXgkRO3fbuAXdrH4sXAAw+IiXThgjh2gttvfAO4cmUt/uEf\njNu75RYxbdworpWVolEJlG99q/G18XEYXNcTJ8Ty008DX/iC+gPEHYjFZP7l4KDMv6SQzYEB50Iu\nudTUJIGStGpVdggoiT4D1e22KqJy5YqAQfpxRQ1TfstbxGdVyUof223/YhF6uhWivAAvnYJj0KIb\nuPPq2qWSQNT9tVTdOjPUqfCXSgtQo/GDoaCK6dfBKGMAB5KpTLsDcEQjANIMNHZcyL9T4I7KptiO\nTe0qY6ZMUGYBXAZwKxTqKh3oLK5H+thuRFZvL8HBaHlRIYBHcGAHeFZw5+TaWYVjUg6bncyvkVtn\nCXkZqDMDXSQz+MvOrxOPGROgVxcj2IuYAE/AnTnU0uzauVGuUE03QOYEdRroClPBow7G2ACAzwLo\nhUhZ+BTn/J9M68QBfAPAycxTX+Wc/4WX/bzznWLATk6AExwELap2ScVS1Inyn86ft85/6uoSA/S1\na4H77xcD+BUrZD84deCeSJxEPD7o+rhmZoRb9uqrwt18+WXholFvt5oaASg/8zPSidu4MdudGh6W\ny5wLB+rZZwWM7Nol3ClA5NBt2gS8610CfjZvFu6XU/jn3JzY/tiYgNqZGeF4RSLiOE6caMKKFfI6\nDQxYbyeZFIC3f78E1kceEXl2gPiO3HmnyF+7+25xriqYLVki8gLf8Q55no8+uhs1NdsXgO/RR+X2\nYjHh1G3ZIs7z5psF/OWqGNrSYt0Qna4Ftbj47nePoK5urVJMRXyHzOOwlhYBf1RAhfI4lyyRIcG9\nvfYQ6kUNDe7dQBLnAgjJSfejiEshKtb9yVZWg+sQwl7egGfn3hUCd17k0XFUXTrVoeNKDl7aJtwj\nzTk4uFiPZ9obpAXgpSFCoRbcuwzcxaIF/DJoJxcwFTTUhRro8glNLYFKfm8qQxUKeH7B3cJzZvc9\nD6aoVSDPDHVmoKtR9q/eWlIcSIFlHLs05tMwAN48suEOQJZrpx6TFbyZ17V6r5sQzCCgTgOdlB8j\njCSA3+Wcv8QYawGwjzH2fc75IdN6z3DO32bxfleiHLeglErJvDsqkCL6fK3AZz9rbP5s1+y5q0sW\nS9m6VUBJX590Xfr7/cnDm58Xrg/leVFxjzfekMfV2CjA4+d/XhYQcXKdSOk0cPx4Ew4cABIJAXOX\nL4vXursFKP3mYNsiiAAAIABJREFUbwrI3rLFOsdufl7knr36qgzLPHFCuG60LXvJuL2mJnHdli8X\nOWrr14tzuPlmAcAUFvlzPyeP/cgR4SY+95yA0G9/W7xWVyeOeedOUY102zZj+CpjwNKlM4jHgXe/\nWzxHbudLL4nplVdEeOVnPiPf19cnK2Zu3CiPyU0z8tpacV5r1gA1NRcQjxu7kVOPQ7VNBk3nzwM/\n/KH4PlqFrXZ0ZBdP+b/sfXeYHNWV/XkVOkzSSJOUcw4oIoGEpJHJYIyXYDDGZlnbsF4vv7Uxy67X\nGNvYxmCcdu11wAYDCwu2YR0INhjDAAIEQqCIQEiM0miiNKmnQ3VVvd8ft15XVXd1nJ4k5nxffdVd\nXeFVdXX1O+/ce6547TRR0bTijo4wRte1pGTgjI7yxKA8n/LCMCZ7eRO8TMYqhYZlCsLnRRy9inB7\ntDWdWge4VTpB6ASZi1tJcfE0JIhzGtlWZeo0SYwlCB4k7lLvxPpO1Q4mh+LoCLqcMfNEOrUuL1I3\n0gndCCFxaTDgz6Z3mnsBnHxOVoUSvP6SO4GCatrJqQpdLqROEDpB5AS5c+7K5ECEEdmTFQkqR4Lg\nqTKQjtx5kbdC3DF5msGwwSB1JzOhKzTPrt+9Cc55M4Bm63UvY2wvgEkAkh9OgwbOKQTOyzDFyzhF\n1FjzujeFeYowSVm+PNU0RcyLbSjR06NgyxbbMMWZv+V0Z5w5k0jFpZfaStKsWbnla+k6EZYXXwRe\neIFqu3V2ErmaPh244AJgwwYidHPneoeCNjfTdi+/TOGZb71lm4koil1QffVqulY1NaSolZVRGQJZ\npn6HpgGvv74HkycvSpQ4OHyYFMKXX3bb/8+fT/s7/XRq28KF1IcUDpXXXkvrtbfTti+9RET1W98C\nbruNlKRTTyWSt3Gjdx06xqjds2bZZA+gdu3cSWrhrl1Eqn/yE7eBypQptlOm00hl8uTclWZFyVyQ\nHaDr1tbmLrchTFTEQMRrr9FARTrzlLIyO7/UaaKSzjxl7NjCHE+HAsPx+eSJYUb2CiJ4hZC7HFS7\nfPLsXI6VFpJDML1IXdzgiJtmIiQzHbEzAUR1q8MkSVanCZDhJncM7pBMJA3qJ1wyvf50HPdCCpGy\n3g82qRsWhG5kk7gUjJhn0zCGs1OfK8nLFJqZjdzlpNqBBn/8aYhfujDMZFLnl6UEoVNlKUHkvPLt\n4gZHlLHEMU1OJE/lQDhupJA7zfrpO0shiHZ7qXBeYZrZ1Lp8SF2+hC6x75OX0/ULRe05MMamA1gO\n4DWPj09njO0AcAzATZzzPbnut63Nj1dftQsgi0mEe4mcH+eUrhC2LNsd1JoaCh0UnVqnDbzIB9ux\n48WM+Wb9gWlSB9xpmCIs/N97D+jsPMPV7tmziSxcdJHtejl/fn4qYChE5EuQnVdfpWUA7f+SS4Ca\nmr24/voFmD7dex+9vaQWPfMM1Vt7911aHgySUvn5z1Oo59KlRGbSheOZJpEhXae+XyAABIPtqK9P\nXZdzUqp27iT1bOtW4OmngQceoM+rq4FNm4CzzwbOPdeuvVZTA3z0ozQBlFv4yitEYl94AbjzTuD2\n20XphpW48EIqbr52LZFQLwgl7Jxz7GW6Tt/d3r2kogoSfu+99vUF6BxnzaJrLUjjrFlAW1sQsVj+\nIZSSZLfHK9zTiVDIXcpDmKeUlc1EWxsNeBw9SsS8o8NNVJMh8ltFPmsmA5WxYylkd6gxIM+nWB+A\nQJFamIR0HdlBJHzODn1WcpVOvRPEwkHwsubVeS3LkmeXQugcRcgFqYubNqmLm6aL0MVNM1F3PJ6m\no8E5R8wwIZmAIcFB8KhDJsgdBxkRCJc6g7uNVLIiOb8uHQohdTkSuiElc+JcOB9wQjcc8uwGqu/0\nQUK+yk1at8scDVWSVbt8SgQIONU6ABlJnfhMZizFRCWgAL2wzVPipknKnmEmwjNhBYzHTINUORT2\n+04+z1xLHBSD1J3M6lwxwdJJqHnviLEyAC8A+Dbn/P+SPqsAYHLOQ4yxCwD8J+d8Tpr9XAfgOgCo\nq6tb+cgjj+Ab35iNhobUuK5gUEdFhY6KijjKymheXk7zMWPiic8qKuKorIwn1ssnNy8UCqEsl7g6\nD2gaQ0eHH21tfrS1BdDaGkBrqx+trQG0tND7eNxujCRx1NZGMWFCFJMnR1Bb24mZM01MmRLGhAlR\nKEp+3xXnQFNTEG+/XZGYDhwog2kyMMYxY0YfTjmlG0uWdGHJkm7U1Gie58w50NhYitdeG4fXXqvC\n7t0VMAwJgYCBpUu7sHx5F5Yu7cLs2SFXGzkHWlsD2L+/DAcPluDo0RK0tATQ0eFDV5cP4bAMzpNC\nE3wGKivjqKrSUFsbxaRJEUydGsasWSFMnx5O2f+xYwHs3FmJ7dsr8eabY9HRQcxo2rQ+nHrqCZx2\n2gmcckoXVNX72kUiMvbsqcCuXWPw1ltlePfdsdA06piOHx/BwoU9iWnWrBB8vvy/g44OH44eLcGR\nI0E0NZXg6NEgmpqCaG4OJI4FAIxxVFVpmDAhgtraGOrqotYUQ21tFLW1MZSWFl5bygvp7m/KlZPR\n06Oiu1tFd7eCnh7VMdnve3sV9PbS+1BISflOAwEDf/7zS4n3mzZt2sY5H9TKwMV4Pnk9m0I93Sjz\nD42yForp9rH74/JUyLGjOsoCmc47TXtSFrOU1/bt42ESwBhC4QjKSoKOc6blPDGIa5mjUCpcmtdE\n+kzYYUQ8sU6a0WAGQIuC+YJgsA/PGINkvWcgdY6J1nu+ts0OqNGOAyVOQiyjeSgSRVmQnm0ssXpy\nA7nny7Tr5Ijs33U/kKX/4brHBxJ+Gh09mZ5NANB+ohvHB6BWaS6o8ptDcuzEcfMxyfNcyDK9tZYx\n1/aVio5uQwEY5dwyRuuI54XztcTsz4Won1gG9zaS4/iJapjO9nBAi/ZBDVB+ifPZJp5rItyccoVJ\n1ROfm471uMdrUzxA4XhEwX52jlMNnIg76oqmPJpSf+d5PYnSrDxU99hgHnv+BNu0ItfnU1GIHWNM\nBfAEgKc55z/IYf2DAFZxzjNmXK1atYq/8cYb+MUv3sDUqatcakBl5eAYMzQ0NKA+SULinJRCp3mK\n0zRF5EE5TUgEamsptE6YpUyfbjsVTpvmDuf0OnY6cE4mHMJIRBiACPfLsjIKPVy3jqbTTqNrmO6c\nTzutHs8/TzlqTzxBhh4AqXDnnUfT2rXu9nJOitrf/kZq2CuvuHPqJk6kcxaF2isrKRdLUWhgORoF\n9uw5gkBgCo4do2M2NtrqayBAiuD69cCHPkQhmIGA+/h791Ie3F/+QuGlsRgZjpxzDtWkO//89Lma\nDQ0NWLu2Htu3k6L58suUr9fURJ8Lt8xTTyVFcsUKUk4LDcF1KrZPPrkXweACNDbS93joEOXVJedy\nVlS4C947TVREWHBtbe6hkvncY7meU0+PW1mPRNz1ABljg9p5Gojnk3g2NTz9JDbMyuKgM0B48cDx\nzMceQGXvxf1tWD9nfPYVvcIzk0bWEsqdQ6FzLbP2wZkEyApefnM31q1aRu8lGWASuKRA53aYY9wk\nlUw3OOIOtU43aHlMN62QSpPCj6yclJg1emyaIteO5sKJLtiyF7GJC6FKDH5FToyo+2UJAcVW7hSZ\ntmHWtrLEoEjMWp+WyxKDZMRJdTMNWyEzdcDQHe8NbN61D2csnp1bCGaBKl06he7F/W3YMLs26/ZZ\nUYDylvUeLxKEYncyPZtO+9az+PtZEdx3YGhy7Ibq2MnHzTVE00u9S1bunPsS6wvVTpYYLqnqxBPd\nVZAlZoVcynY5AyvHzq9ICPpk+MRcluBXJKgSzUtUGQGFVLoSVYbMGAKqlDBnki3yl2yecmDHVkxb\nsiqRQxyNmzA4RzhuJJ5x4rV47kXiBjTdhKabiGhGIhRTM8yEsYqmO5Zb6pyIjhBq3RXju/G/TURA\nklU1L6UuV5Uum0L3Qbm/RZ5drs+nYrhiMgD3ANib7sHEGBsPoJVzzhljq0FVE4/neox580Ke4XnF\nhMjLE6YpwkDltdem45FH3OYpLS3eYWpjx9rmKcuWua3qp02j5dkKeueCUIhMSXbtsgtx79gBdHfT\n58Kt8mMfIxKyZg2FbWbLuTt6lKzp77tvMbZvB8Jhau/ZZwO33EL5dsnhiZpGRO73vycC2NxMy2fP\nps78mjUUIrhoUaqhiKbRuYhQzJIS4LXXDmDTJtsKU9cpLHX7diKrr7wC3HUX8J3vUNvOOgu4+GKa\nqqtt85Ibb6Scsueeo3Y98QTw2GM06nXqqRTOesEF9D05+5k+H+XurV4NfPGL9nXZssWu+ffgg8DP\nfkafqSqdm3DKXLyYrn0uRj+SZLtaGkYr6usXuD43DLqehw5RrqEwURGDB7t20T2a3I8TRdxFLqgw\nTXEaqYhwYy8ToP5AlCGprCQSP9QYjOfTsMUA5+3llIfnaYBieodlpsu3c+4j1xBFJJUuMK3JQepi\nhom4Yb82TSKBccNMFBYXuXYir8VnbW9KDHGTwy9LrgLogASJcTCTRtkViUbOvR69afPrnOeYjpB5\n5doBBZG6AQm5PMny4QYCA/1sMgyTXFz7WeAZSF8qYCQg1zw8r9w7QUoEwfPKt8tkpKLpBnxK5o6X\nGDSiQSEa/BGkLmARPp9skzmxvjNHzzA5JAb4ZQZDAnQTkFTZlSsc002oEoMpMyuEnEHLdD0cpC55\nOWCTunR5dYUSupMl3LIYv7tCUYx/+XUAPglgF2Nsu7XsPwBMBQDO+c8BXAbgc4wxHUAEwJW8WDGg\naaBpqTW4ko1TnK/b2mibVExPFCufMIFyxsaPp9cTJriVknyKhOeCnh4Fr75KKtQ779gumAcP2usI\n98srryQCtXIlkYtADmk/sRipUn/5CxG63btpeV1dGa69lojZxo2pZDQeB/76V+CRR4A//YkIZVkZ\nqXgXXEBEUDgiCiXx8cdJTdy7l3LRmprcZigCqroBEyeSkjl/Pp3bmjVkXiLcL0MhUgT//Gfa7+OP\nA9dfT0YoV1xBJjLjxlHu4UUX0cQ5kUOhQN56K/DVr9L3KhTIYNBbAp48mUo6XHYZvSfnUNstc8cO\nuob33Wdv4ySZwtBl3rz8zFNk2Vbm1q3zXkfXbbOUpibbREWYpzQ30/eazj1TkjYm8k2TJ6dxitNA\npbR00CP/+oNh+XwaMgwA2cuah+eVe5cDuaMd2g6ZTMrNzMXZLzCBhGGKCDmKm0TkorqZUOmcCp4Y\nmU7O2ZMlhkqTo1fToUqU/2Kqckp5BFVm4JzRMfOJB3PARbaSSVyupC4DoSsqmRslcYVixDybCnIr\nHIbOFrm4aXoapDjy7tI5ZTqfF4bJXQYqmm4m8ugEnLXtVEmCxBgCilu1E6ROkYiIEcEj8pdM7BgD\nSlUJmsERZ4DOAEBy9fINTlEIqkS5dqIdyXlzye+dal069JfUDUdCl6nNxRo0GQgUwxVzM7JEM3PO\nfwLgJ4Xsv68PaGnxY8cOb+MUYZbiNFA5ftxtWJGM8nK74zpxIiktwkAlWdHYs+cFnHXWxkKanhWc\nU1uFaYrTOGXfPuD4cds8xecjYrBmDTk+nnIKKUMzZuROFAyDyM3zz9vhkpEIqU7r15MSdv75QFvb\nFmzaVJ/S1jfeIKv/3/yGSHFlJZmSXHYZkTlh/BGJEOF7/HEyODlyhJb7/XQOCxdSaGR1NYUWilDM\nvj5g+/ajUJSpaGwEfvtb4Be/oG3Ly4m4ffjDpM5deCFNP/4xmX08+ijwu98B111H5i0XXAB86lO0\nvs9HRETUk7vlFlK6nnkGeOopauf99wOMrcXy5XQuH/oQkSkvYxpJsssUXHGFvby1lUjUrl1Ewt9+\nm8ivCIcFiHCLbUXh+ZkzySDIMHJzMnVCFDWfPJmUyHQQ4cPOUh6trcDWrYdQUjI9McCxa5c9IJKu\n++D3u41TxNwZKj1uHN0fTgOVbDX/BgID+XzKWJh8JKGIZC+jipdM8JJMVZLJXXqyR4YaTFKI48h2\nKJSepnMg1Lpw3LAJnTUaHY4biBoUihTRDM+QI9GJmmRynAhpiVAqp1onRtrDcaDMxxKqHQNP5Mhk\nNFBJIWqGTeISKXcepG4wCd1JSuKGwkBloPtOwwH5dnwHSxnMRvDSqXfJ5C5ZteNIX6xcM0wEk6IX\nfLJETpiyXdZAlaQEqfMrROYCMoVyC/MUiRsAeOIZyVUZEmMIqhIUiUM3OaIGkT3oRO7iBkdAoZBz\nUu3ItCWS9LzIVOognVrnio5IInUZydEQkLnhSsaKiWFvWn799cBDD3l40YM6waIjWVVFJG3JEruz\nKSahNtTU0Dwf58F33y38xuOcOtBHjiBReFoUpD54kPLHklWryZOps3/ppYAs78cFF8zG/PlE4PLt\n9GsaKUovvWRPgmTMnw985jNEYurr3UXF29vt14cOUejhgw+Sauj3E7G6+mpynxT5ZYZBROl//gf4\nwx+IWFdU0P7//d8pH2/RIiKRfX107s3NpPbFYnRuM2cCY8e245JLpqK6mvZ7+DA5d77wAqlijz8O\n/OM/kpJ49dWk5K1YQdO3v00k76GHqFj5H/9I98YVVxDJO+00W2mqqwM++UmaDINI6913H8R7783A\n979PbpmKQiGZ69fTtG5d+rxEsc+6OuDMM1Pvgb17yT103z6a9uyhcxFlK4DT8alPuQvWi1IHU6fS\nfOLEwvNKGbOdKxc4Ij4bGg6ivn56yvqGQURQKNuC7AnlWwygdHbSQIQYaIlEvI9fWpp5sGUUwwz9\nJHtZCV4a9S4tubO28xTs0pAVw+TWhIRaZ5iwQzF1E72agahOhK47HEdYM6AZpucItU+RoKscx0Ma\nSnwygj4Z8IjSUCXJMiNI32eXJWb3hpz5dSK3ztHZyqjU5UjqCiJ0g+hMOYpRALl1uotJ/rKFaSar\nd9nInYAgdzHdzBqKCSCh1kkMLlIXkK1cPZkInqTHwIw4/R65CWbo4LJiPSsN+EwNiuqHZnAwxiEJ\n50tdQkCx3TLjORAqr9w6wIPUZVDq0n2fA0XoPgikLRcMe2J37bXAhAnv4PTT5ydMU0QHtaxs6ELC\nNI3C24R5yrFjduHoo0ftgtLJuXhlZdRxnzaNyIkwTpk1i5Y7wzkbGo6ivn52Tu0RIY9bt1I5gy1b\nyEQlGqXP58whsrhpE03prPwBIBRScO+9RNIaGmjZ+vWUt3b55W5y094O/PKXwN13EwkcO5bCQi+/\nnAijz0ft+stfiCy9/jqZhaTHSvzjPxIZX7GCDFLOPZfyBRkjRezRR0kJ+8xngP/3/4CrrgJuuIFU\nTEHy7rwTePZZOof77wd+/nMizJ/8JIV0znH4iskyKaGRyCHU189AXx+FqD7/PJ2/IHoAkaLTT7fz\n8BYvzky2GLMJX3KeqK7TffL++8BTT70Ln28e3n+frtcf/0iE0AlR2kAUuxfmKckGKgWauLogy3Yo\nZj6IRFLLknR2pgtzHsWIgsu4I7c/5rRhmhnUu7TkLrE9t/PQZBpZYqYOLlvldxlcSppphYQlShtw\nIGZYSp1OhC4U1dEViSOi6dB0E2FLuXNClhjiVSZORGKIxBUENRmGyV2OkRJjUGUTsqXaWVQs/QXK\nRLi46SBxPHGe9ok5tvUgdHmTuVHyNooRgEyd9/6QvnQqXrJ6l4nccc5T6to58+ySnymqqFtnqXUl\nqoyAKiVUOr8iIaAwqDAhRXrBdA0sHgEzNFeCPFdUMNOAFOkG85XArwYhKRIACSZMy9lSQlSXIDMz\ncdxYUskD0T7PGnUmT0/qOHeRuoEkdK6cvmEcDjmUGPbE7swzAVluQX39/AE/lq6TCuGs9bV582T8\n+c+2aYrIX+rw8KRSVds8ZfVqqgnnNE+ZNo2IT3/JqK6T6rNjB00i1+u4lVLt91Ou3T/9k13Ae3wW\nA7u+PgpLfPhh4Ikn1iIeJyL0zW8Cn/hEqhHGvn3A975HdeRiMQpdvPNOCs30+6ktP/0pKX3bttE2\nkyZRe669lvY9aRKRRL+fnlE9PcBf/7oLZWVLsHs3kcCvfY3y4SZOJML46U8D3/gG8PWvU+HtX/6S\nFLpf/YracNNNlC+nKHbuXG8vGafcfz9t97WvUdjixz9OBFTkAwqUllKoqKhTFw7TsV55hdTDP/yB\n6tOJay0I5fLlFNa7ZElutQUVha4rqbHNqK+f5/o8ErFVXmGcIgYM9uyhMFcvFay83G2c4pycYcY1\nNdnbmC+CQZoyDRyM4iRBnqqep4rnRfAykTszdZ/OcMx0j1ZD5NbpFIIZiunoixs4EdLQFY6jOxJH\nbzSO7nAcetyArpkpHQZZlmBUcjR3RTGmREV5wD2iIzMqPhw3TBiODma6rowgaaTQ6W61zknqkpW6\nYhC6URJ3UuPUbzwz1E0YEqQzjMmH8KVT8ZwEz2mq4iR3iXUtlcup2nnl2QF2oXHJCtUmx11S6EpV\nCbIehRTtIUKnRcC0PnAtCh6Pg+samOIDU1XA1CH1nQCPR4BAOXxqCaD4wTnV1FQ5qYIxQ0JUF6ZQ\nDMlBNkKdc6p1rvzBJFKXjdAVSuZGCZuNU7/xDLZ+7ZzsK1oY9sSuUHBOHXJn+JhzEjlFTvMU77yi\n2fD57E7xjBkUVigMU5xKSU1N7vluucAwGPbtozA+kbO1eze9F0qgqpJq9Hd/R2Tu1FOJWORiwd/Z\nSWTu//6PjEgiETrPj3zkGG6+eTJOPTWVhL7yCvDd71IOnd8PXHMN8C//QnlzAOUI3nUXEb5olNp0\n111kYDJ9uk2QnniClKn2djoXRSGSFwyOx/r1lD935530fTz9NOXP/fjHwA9+QATu3/6NwjxPO432\nf889wH/+J+XWLVlCBO/jH6frU14O/P3f03T0KKl9Dz9MCuSNN9I+Lr0UmDDB27K0pMRWOgFYdf2I\neL7xBoV//uY3dj4gY3SfLFlC4acLFtD1mTs3PzUtGKSQ2fkZxjR6euxyG87yG2IA4q23aEDCy6gG\nAEpLz8D48XaOaXV16txpoDJmzIgyThnFYCOZMHgQvawELxu5s/bBnaodN71dJsXurTBMg1uhmIaJ\n7nAcXeE4TvTFcDykIRyJIxbREY/p0ONGSliRrDAYuolQVxTxmI5IqYGIRm2QJYagT7YME2Sr2DmH\nYTKo1mnKjnpVzBGGCSCF1CWQeC3WT0/qMhK6USI3ig8wvEhCLmTPS8VzhmcK9c5pqOLlkqnpBoI+\nBZphQtbpWeFEIrdOlSiXTqJ8OUHqpGg3WKQHRvdxmL1dMMO94DGbkjF/EJyPh9l+GPKYKsDUwf06\nfMExgOqDwQHdNBPFz6OyBFU2EXM8FmK6mciv0/TUASNdN/MidfkQulESV1wMe2JnmkBvr4L33/cO\n8RKGKU4DFUHmvEoSAHa+kei4zp9PoYZCxRCKRl0dsH//Zlx44RkD1pk1DCIbycYp+/YB+/evdzkZ\nTppEZOGss0glWrqU2p5rHTXObaXn8ceBzZvp+BMmAP/wD2SCsn498NJL+7F69WTXdk8/Ddx+O+Xp\njRsHfOUrFP5Ya5U3OnqUlLD77yeSds01ZGKyeDGVHPjGN+iYQmGaOpVCUJctI0OReJy+z717S3DX\nXXYJhPXrKZfuoYeIqN97LxG8c88l9e+OO4ANG4B//VcimA8/TEriNdeQScpNN1HIpghxnTyZlt10\nE+W8PfYYTf/6rwCwBt/6FpHQ886jnDqvfEzG7BDaK6+0r9HBg1R+YudO20TlySfdbpSTJ5OBzNy5\ntnnKrFlArMBClxUVNGUifwCR9tZWInlCjW5rA958swV+/2S0tdmhvB0dztw/N0Req9M0JXlyGqaI\nqbKy8Hp/oxjBcBKKJJLnGaYp8u9MEcRI24tQTFKtuO2Sae2HQwYzdciymqhZJ1slCUSfIW6SaUo4\nTjl1oaiOE30xNHdFEe2LIxrWEO2LIxYh1c7QIjDjFEMsqT4wSYYxvwShrij0uApDd+ee+BQJAasm\nVUCREDc4fJnSa7hpq3Xi3J3qnEu1g03qnPl3o2RuFKMoCPmQvWSCl6zeCXLn2q/lNmmrdm7XTNdx\nrfqWEkip88tW+GW0h1S4zhbonW0wOtsQ7+qC1tMHParB1HRIPgVKwAdzyljEDzfCHFsLpXYSWFkc\nXFagBhT4ZYa4wqAZEgDDVQMvuT3C0dOp1mUidaSSpl6rdBglcQOPYU3s2tuJJHB+Rtp1fD7qYAoD\nlVmzSLUSnc5k45TqalqeqxFJS4veL1InapEdPuw2Tjl4kHKrDh1yd6L9fursz58PrFhxBOecMw3z\n55PqU1GR//EPH6Zcseefp5wzUWx78WJSvUStOS+lUdNI3frBDyjkc8oU4Ec/IqIkQg1DISJX3/8+\n9TtuuIH2W1tLKtbHP05K47hx9FrUwhMqZHMzEA5zKAowZw7D7NnHcNlllAD3t7+RUvfZzwI330z7\nvvFGqi/3619TmOjGjcBHPkJkbs4cInSf+hQpkXfcQWTvttuIZH7+8zYRBYhg/cd/0NTYCPzgB+/h\nnXfm4Ec/IhWwpITy4oRat2xZ+vtGqHQzZpC5jPMa7t9vm6fs3Uuk/eGH3W6ZwIZEAXdhnuI0UJky\nJbcSFukQDNr7dKKhYT/q692xqKKmY3s7DZCIuTBRcQ6iHD1KRPbEiezmKB/+MJH7UXxAkUHNc6l4\nmdQ7JpFDJMVf2rl2TEqEYwLUUXIeLW5wmFZuXdQwEYrqaOslpS7aF0eoO4K+7hgiXSegR0PQ+rph\naFFwQwMDA2QVsi8AIz4PXc3H4S+vRElFAIYRsAoNx1Hik1EWUBK18LwgW8XKyQDBSC1GDg9Slyuh\nGyVy/cJJ43I7ioKRLYQzHcGj8oJ2xFcyuQv6ZGi6QcXKZSlRFByOgWOZEalTJctIJdoFKdpNpK71\nMOJtxxBqakdfUzv62noR64klSKW/wg+9egm6jzaibFIIXItCqYtDlmWASVD9Y6AaVOBcdbC6uEXe\nNAeRE2ow3eosAAAgAElEQVRdMqnzInRe1ybbNR3FwGNYE7uSEqo11tGxH6eeOttlniIs1YPBoQsN\ni8Xs8DdhmtLURJPIhzp2LLV+WHU1dd6XLyeVbMYMInMi70yQh4aGRtTXT8u5PbpOKtGWLWT+8dJL\nROzEMTdtIqXrnHOIKKRDV5eK228HfvITOr9Fi0gp+8QnbNWFc1K6vvAFOt+rriJXyunTKTzxooto\nvngxhWWuX0913r7//ShmzOjCunXdOOusKMaM0SFJtL9IRMLRo3784Q9H8OablZg9uwz3388QjxNx\nu+02ytu7804qa/DJT1L45e2303FuuolUumDQLoeweTOFjt52G2139dVEEJcudZ/zjBnApZc2ob5+\nDnp7yTTl6aeJDD/1FK1TUUFhuOvWkVp46qnZybbPZ9ezc8JZ6mL/fuBvf2uEac7AwYPAiy+Sq2ey\n4V1NjZ2z6TROcRqolJf3//fAmK0EzpqV+3ZCdRUOmc6pq4sI6kmDWN9Qt6BwZClYXbT9JBcmT9k+\nVc3zJHgWGByhmKYOziRS7Qyr9IEVjpnu9o9bRcgjmoGuMOXU9XTHEOqOoLsjDN7TjBXjJZy+YCIW\nTl2C6spS+FU6h7hu4ERPBLLEsXZSF95sakGPNjaxb1liGBNUEYrqKPcpgF8UN5cTn8vOMEyh1nnl\n1Ym5i9Bx1/XxvIbZ0J/vPd9ts333oxjFCEA6opech5cIz+TcJkCwyZ1QwXwKh2aYKLGeC8KdUpUl\nqFYRckVikI0YpEg30N0GvfUwQvvfQ0d7DL3lU2Gsr4dUVwuptAQSGACOWF8YFQCONreiYn8Tqnr6\nUCbJUP0BSLIPPjUIRVJp30kdBM1yCBZuwEKty4XU2eYp6a/ZKAYfw5rYlZZSCF8+7pD9hWGQMtHW\nRmFrDQ112LaNXre2ugtAnziRun0gYDsWbtxIc6G4CAUmF2ONbNA0Un+2bydzkjfeoNfCbn78eDJN\n+dKXSHVavDhz/h/nRCh+8Qvg0UdPRzxOOWz33ktk0PksOHwY+NzniPAsW0b15taupY79LbcA3/kO\nhbE+8ACpNN/8Jse99/bgs59twrnnRiHLgCy7R3cYA0pLTcybF8HcuRF87GMdCIcZfvzj8ejsrMWd\nd0q45RYikp/+NCmJ990HfPnLZMZy881E8B55hM7hrLNov2ecQdO775LaeP/9lI93+ulUNuGyy1IL\ny5eX24XNASLnDQ1ElDdvpsEG0eb584FVqyiXUJinjBmT/ftjzM5fW7MGmDSJHDkF4nEizAcP2mqv\ncFs9cIC+q87O1P2WlBDBSzZPEaHFzjqN/VEAvaCqtF+nKjqKQUSxCFuxkA/xSyJ56QgehWaaltW3\nBg4fkTtTJ0LHJMiyCskq2EvudPazJm51WLojcXSFNPT1RKHGNHx2TQnqF62BbpgoDaTa3PpUBeOr\nqCbMDRcvhSJL2Pp+F367PYJQKIbeoIITJTFUlfnIPMXxeGOg37tktcep1rlInUFhn6mkztqPIHWZ\nyNxwuQdyacco+RvFCIOTtCSTPMPy37WNVWxyFwFcql3MUsk0wyS3XhHayYCAwsCifZCivdDamtDS\nrePE4vNhqgEwRYaqJHfbGeTyMsgAzA2b0Gua6Iv2oartXdQph6GWVILFI/D5fImQT4CiGASZc6p1\nhjX45SR1aQmdhVF3yuGFYU3sigFhoCJMU0RoWbKBSlubHXLmzsGnol9+P3WW6+oo5G/DBnovjFOE\najJuXHEVRMOgzv3bb1N+nMjd2rvXDuEsLSVXxuuvJ5Jw+umUw5ZLO957z65T9/77REouuugYvvnN\nySkqk66TYvaVr1C/4wc/IPVLUYj4Xn45EZ9rrwV++EMim2eeGcMNNzTiYx+LQFVz++EzBvh8Jnw+\n4IYbjqG3txWf+9x0nHfeGDz/PDlgfulLNqmsrycS+Q//QEre2WdTSOZdd9nOj/PmAT/7GamK991H\n5O+aa4B//mdq99VXpypkAhMnkiJ51VX0vqvLLinx+uvAX/9KZRUEpk+nHMjFi0ntXLiQjh/09mbx\nhKp6h0460ddnq8VOAxUx7dxJqmNPj/f25eVAefkaTJ1qm6eIyWmYIl6PGqcMEzg7zcOlI18IvNou\nyS7iwhzhmk4fERGamSB3ugauADAkMEkhhcyklUU0lcFJteu21Lpon4YLZgdw4cJqSIxGzYVClwkl\nFvE7bc5YrJo1Fi8dCOOJg2TEEorqMCrgCsWUrVFyWWK2WmdoFEbqIHVehC5B5rxqyY3k7x7I3P5R\n0jeKPGA6a07ypPdFgpRkiJJM8rjJqRKLIzzTSe40K3zTp8iIxA34NckK3bb3o1rPCqZF0Hu8HQeD\n06FPUwHVl7mSvTiiVXuJ+/3oKFmJblPD9PZmBINjoAYqE2UYDE4RBQlCZ5iIaDrV8dTNFFLnWbMu\nDZEbiGvvheTvYxQ2RgSxM03qTHuZp3gZqDjzgEQdt2Q4DVRqaqjz7TROqamh+cGDr+Hii9egomLg\nOrWcEzHav99toPLmm6tw7JjbBGbyZCIN559PxGbZMiKaueYMck7k8Pe/JzfMHTvovM48k8xPLrsM\neP31/Vi40J13tWULqXTbt5OxyM9+ZpOOXbsod+7ECQoh/PjHKUTy97/vwo9/3Ai/3yz42skyR2Wl\nju9+9wAee6wal18+BQ89xLBxIzlZnn021aj79KeJ4O3cSWGXd91Fzp133EE5gUKtHDfOztN74QVS\n8H77W1Imx45diyuuoDIVGzakL2RfWekuh8A5EakdO8iFcudOuiZPPWWH4TJGaq3TOEWYpxQaolha\nau8nE4Rxipic5Tx27+4BY8GCjFOSzVNEeLSXcUqhhdU/0BjpHXcHuG7fVEzJcDNkOGcmKSAnFA6Y\nZiI0U5A7WCGZMDQoih8y46BKTg5HO07mAMw08KXVZRhfRmYnhUCWJMgSsGFWCZZN4bjnnThiuunq\nqMkSZd8kwjBNnRQ7g+bM0Nyhl05CVyCRy/laD2d4DV6Mkr2csPdYDxZmX21EYrBIQz7HlhTJJj5I\nDsW0yV3MquXaG6XfZ1ClEgimyV0Kv6RH0d7ZjRZWDe7rB3lRfYjDh/28BJNOdGJMuTuUxjQ5QlEd\nMd1ERDMSKmJMM1JIXYoxTPI1GSAynQmmbnoed5TwDXNit3s3dQy7uzdmrIfr89nmKePGkVvhqlV2\n51MoDsJEJR8DFdOM5BRalwmcU4c52UClsZGm99+3QygBUsBmzgTGj4/issvKEuYpCxfmFuaXjBMn\nyDzlr38lsnHkCBGNtWtJWbvsstRabgLNzRReee+9pEj+7ndEqARR27yZwi1LSymvb9ky4FvfArZu\n7cAddxyGqva/ICUAqCrH5Zcfx8sva/jwh2fhiScYXn0VuOIKIm4tLWSCEghQSObVVxMRvf56Cr38\n0Y9IyRRgjIhgfT3w3/9Nph4/+1kXHnigFj//OZUlOPtsCkM96yz6PtKRU8bs0hfnn28v1zQi6G+/\nDbzzjm2c8vLLbqMRWQZqa9dgwQLbPGXaNCLOU6fSflOiL/JAOuMUAGho2Iv6+rrEe85J4XOWBnEa\npzgHTY4cITJ7/Diph5lQWkoE7+GHCz+PkxojkMQ5CcRAbMcUNe11YUYc3JTAJBNc8SXCGDkAMAmS\nEYcqK1BMBtnkUGWWcIKTuIHPLVRRpjIoUv9H63yKhHESx/87xY+nWiiUSdiXSyClTmKAwgDocSAe\ndZM6XfMmdEnnXsj1zmebYU8C0ym8ozhpMZRELlcktzHhmAkJumnAMBiFbfqQIHd+RULEcueNBykU\nM25wSAxoaW1DZ9h0l4PpBziT0BQ2EW1pgVxZh6hOzsB91vEjcQOaTq8FqRN1PL0I3XD/Tk5WopdP\nbcphTezKy0n96eo6hOXLp6OyEikGKlVVQ2ugYhikfohQODGJfChRUNpJ3MS5zZhB5hTnnEPzWbNI\nfZk2jTryDQ27UV9fn3ebjh2jQtqbN5MqtX07ddjLyoik3HorGYtMmJB+H11dZFjywx8SQbnpJtqu\nvNxe58kniRROmwY88wyRkHvuAZ59tquopE5Alk2ccUYPQqGD+MQnpuOxxxgef5xCMG+5hQjG979P\n98LChZQX99BDVMpg7Vqq9ffNb1J4pBMlJUQQ6+rexurVtXjuOSJ6f/4zKZsAnduGDTStXUtEO1vN\nQp+PwjEXL3Yv55zUMqHQHjgAvPJKD8LhIJ54gj5zQpKI3CUbp4i5IJXpFMZ8wBgNHowZk59xiqa5\nFXSnaYpzPpp/h5ODxGUaactnv1Y5ASeY6vM8JhP/VlZYIpMUKnGna+4foxYG95VA8anwWQV4JesP\nQoaJ8+viCFpqW7EgSQwBBnx4goGdcepY+BUJikRmCIrEKNzS0BKkjhlaQqVLEDrHveE6f8f1znTN\n+gMvEjhK9kYxmBh01afA4tlp4aEgyZBIvdMAbpU8CCsSfAqZOAV9Msp8CgzO0XOiA+GeENJbQBXa\nLIbjXd0oZSoglSVUurBmoDusoSscR0wzEvU7E4qdReic55TumhV6LaUiDK5lwslK9DJhWBO7adOA\n//ovoKHhIOrrpw/acTmnjmhbG7Bjxxi0t9thbC0t7jymtjYid07Isl24fNkyMuGYOpXOZ+pUInSV\nlcUho8ePU/jftm0USrd1q+2EGQhQ8e1bbyX1afXq7CFxzc3AL385A08+CXR3U522b30rtZP/yCPk\nSrl0KRGgmhpqx7e/HcVDDzUWndQJSBLHued24a23OnDnnTX48pcpnHLcOCKh3d3A3XfTd8AYKXcf\n/SjlA37ve8Af/kCK4803k6tlMkpKSIH88IfpPnjvPVI6GxqIvD74IK03Zgxtv2oVTcuX0/eay3fK\nmG1qcoZVycOpnIXDtrp76BC9FoMEb71FpDN5oACggY4JE+wpnXFKdXXuobu5wuez9z+KJJwMRK7Q\n/XiQkEK3SSznHFyLgikqmCQDXCH1DrAT8QwNki5DlX0IKBIiOocqMcyUehFkSKnjVAwwBqgSsMjX\nixDKIDOyLlclQOU6WDwCpkVsUqfHXYTOec1TrgE3M17LbNe5UOLH9Thdb6ttw57oAam/t1GiN6wx\nmGSuP0TONHLbVhzD1AxIEoOpm5AUySJK9ODpDdO6ssTQHY6jutQHLRxCX+RE0QbNksE5R6izA5Eg\nmbd0h+MIxSivTpA6LWYkCJ34XpKvmdd14Ny9XMrjAZu8/8EkeicryRvWxK5YiMftMDKnkYrTPCXZ\nRMXOM1qe2I8kkeIgTFSWLaPXgsSJeV1d8TvO4TA5O+7ZQ9OuXZTLdeSIvc7MmUTkvvhFmq9YkVtR\naM7J8fGXv6Tac7o+FZdcQirYsmWp6999NzlKrl9PJKOighSbT32K4/bbG+HzDeyDWpZN3HzzUVxy\nyRhcdJEPixdTqOXYseSi2tNDBEwoWGVlRG4//3lS9H76U+DRR6lswXXXeTtjAtRRmzuXps9/nq7T\nvn2Ub/jqq0Siv/c9O49uzBjKf1yyxG2cUl2d3/mVlJDbZrqi45yT+iXU4ebmVOOUl16igQivHFPG\n7LBkn28Z5syxQ5TF3GmaUlVFbRo1TskRI5DIAcUhc3kRuXRuRVkPQiSHxzUw1ecgeCYsxxSCpECV\nfVTsV2IoMaNQJR0D+VcuMSDAOCQjBEUugV+hHD4WCxOp06NgumY5Y9qELnHdMl2TbNcrQwhB8vfS\nL6In9jESSB4wSvSGIYY7mcuVxAkY1vkkExzT4JBkBlMzYEoOgiecMyUGnyIhFIsjIPfAVTdgIMA5\nSsId6I2VoysSx/FQDL3hOGIRndQ6i9AlyKnHdRDnKmcgRV7b5Ur2nN/XKMkrDCOG2HFO5CYXAxWn\nicrx41RsOR3Ky6kDW1tLoW0rVrhNVJqbd+Dcc5eiro46uMUmbE7E40TU3nuPpuefn4077iBCd+iQ\nPZCjqtTpX7+eiNfy5TRVVeV+LM6JIP72t2R4cuAAEbTrrwdOO+11fOITazy3+fa3ye7/ggso304Q\nop/+FKiu7sKsWWncaooMVTVx001HccMNM/Hcc0Q6vv51Ilc33kiK62OPuevMVVVR/t2//zvlDP73\nf5Mz5g03kIo3f/5YrFuXXtVkjMxP5s2j7QAiTrt2kZL21lv0+sEH3U6UVVX0fTmNU2bPJhW0kNIX\nwvhn3Dgikekg8uVEqQ5hnNLaag9i7N9Puazt7fS7STdYGAikmqaIeTrTlLFj6fpnC1k9KTBK5rIj\nCzHhem774ZZiJ/bJY1EqYq76wHwB+7uIknGJTy1FQObwh49jwDtOACRwBGI98LNqBBQGSQuDaWEi\ndZZix7UoXTfrmmQ7d855yjpMSSJnydc3R6L3gSJ5gPu3OkryBg0jncwZObSfcw5ds/JlhQOlNfAr\nKxIkk8OUzESIYxcoZLvKANggPJsAgMFEpd6Htp5ogtTFovEEoTMNnnKuyXX76LycTqTubbxIXyGK\n3ijJKwzDmtjt3Usd4fb2tejrS+/WB9B/mOhMVlURMVuwwO6IOiehTFRVZa/l1dDQmbHznA90ndSU\nw4fJPOXQIdtApbGR3jvDOoPB8ViwgNS3a6+l81m0iIhBIS6D0SgZdzz1FClt771nm4h89aukXJWW\nAg0NqXF+vb3AZz9Lit7VVxMxEm3o6yPC98ADTZCkwXt4r1/fhe9+V8Pf/uZL1K374hfpHvjsZyn0\n9P/+L7U4eEUF1cP7l3+henD33ksKXm/vUtxxBxmgXHghha+KcgnpEAhQSKYzrJNzyqvcs4fu4b17\nyTzlqafoWE7U1ZHSWlKyAM8+a9c6FLUP8ymRkAxnvty8ed7rNDRsT+RxGoY9GCJKf6Sb3n3XNlLR\nMvRJRRtEfuzllxd+PsMKNDRLr0cYqStKmGWW0MAEMpC5tGTGYxvXulwF1+gcKCTTZ7+2VDyJm+Cm\nDhOAKqswI31g4IPUdSJovV3wlVRBioXAtD5IsT5Aj8GM9BExzYHUJcgbByA6ORZhy4vojZI8b4yw\n3+5Iw8lK5pLruNkfOIxGkm4tsQ2TGFS/DNMqKdDjkzC7VBrQSAInZADzSnU83KchHNIoBDOiw9DT\nu1+6t09tafLVGEiSN9AEDxj5JG9YEztFIQUtEmnHokWTXOYpgsQJpWColYFolEhbJhOVY8dS8/Fq\nayk3a/VqMoqZOdNWdN55ZzM2baovuE2RCIULvvgimahs3kzt9PmATZuI3FxyCeVhZcLrrxOZO3CA\nio//27+5w/Luuw+orAyjpqY4eTm5QpaBq67qwF13TUwQOwD4+7+na/qxj1H+2w9/SEQv+f5gjIrI\nb9xIde2+973dOHBgMZ58klRMgBTR+noyTVm3LjfzD8Zso5PzznN/1tNDhFqYphw4QKR+z54KPP98\nap+2utptmiIMU5yhv+XlxQmTJHdOe1AkFziVdKdpipdxSne3d8jrKAYHw0Wd8yQySeunrOP8XKh0\nYt1Y1DZcsYgei2uQgqXUBZFk9HZ2gw9Q7oo3OPq6O4FyGVK0GyzWB7Ovh5Q6J6nLYoRiXwcVXI8T\neUtD2MS6KQQPsLfJ8icp2tMfM5YRlY83igGBsKIflGMNEqHzInPJBIhzO8wy3T5lKxyTSQymyTFj\nggqTc6DIhimZwDnH9ICJrS0a4jHKr3O2MR8kF2pnScQrW+im+C4KUfEGA4LkjSSCN6yJ3Zw5ZNLR\n0PAe6usnDfrxdR04ccKHnTtt45RkE5WWFiJsnZ2p2wcCdme8vp4658JARcwzheK9+27ubY3HSRna\nto0Kg7/2GlnRi/yvxYvt4t319ZR3lg2trZRnd889RCCee45IkBOcU027q6/uAmOD62jFOcdHP3oC\nP/zhROzfT2RYYONGcgP91KcoH/D++ykPb/Vq730FAsAZZ3TglluoD7R1K/DsszT9/Oe0LWDnMa5a\nBaxcSeYx+ZSgqKig7VaudC9vaHgNZ5xRj6YmUnOFeYoYFGhspLw5r/uspCTVMCXZNEWEFvdHAfQC\nY3QPl5amL5mRjC98obhtGEV6DLoJSj8IXSYyZ+egGQDUVLMRzSZ6TFHBtCh4NAxJj8PQDWjaECgz\n3ESs9wRUPQSj+zh4NAwei2T8TpiigscirhBBpvoSnWTnNUpH8oYbwaO2jJK8kx0jwdFyIAidexuW\nGEBKR5L0uJEgOXpcxsraMQgMhJtTBgQUhuXVCl7crVlOmJm/OycpS1bjDMNN4r3CNp3bFYvgDTZG\nkoo3rIldMcE5hQwmG6gIExWnmYowUDl+HADWpuwrEKCO84QJFCq6caNtoiJUlEmTSEkstuGEaVKn\n/+23KdRv924yUXn7bTskrryciMfNNxMJWbeOlM1c0drqx403kklKLEYd8a99zZvAbNtG7fjpT7uL\nc4J5orRUQ3m5gfvvl/HNb7o/mzABePpp4IEHKK9uzRpyKP3Sl0iBS/fdSBKtu2YN8JWv0DV44w0y\nTNmyhdRPoegBRPZOOcUubbBwId0X+ZYfUBQ7DDMdwmFbDT52jCahFLe0UI7fs8+SSuaFsjIieTU1\nNOn6PPz5z6nGKSJsubLyA5Ijd5JhJBG6lHW81CwrZI5cGk1SvqxzTDEeceTbcS2KUKkJhoqiW4hn\nA+ccoa5uBPqO2WqdI69O/LAEeWKKCq4ZFqmLJ8gQj2sAV1O2SyFwpjkwCh7vf4d9VMU7eTEUdc2K\nTepyDblMR+gEmePcXm5avz/uCPc1rWeVYf3m45KM2eMm5nwOxcS8GhWR3r5E+0TbJMdgDksMMNnL\nBDFjjDmugV2kXXbUkRHKpBO5ELxCXDUHI0QzccxBVKQLwYgjdoZBIV1e5inpTFTEPF0ukNMlsKaG\n8thE57e7ex/OOGOuS/2oqBhYh0DOiVzu3l2BI0fIifG990jBe/ddt9X9xIlkoHHOOaQerVxJSme+\nnfFolOrS3X8/8OSTp4ExKnVw661EUtLhwQcptLOsLDpQLr0ZIUkMl18exUMPleK221K/F0mi0MxL\nLyXV7b/+ixTLU04hA5Srrsoeiur3Ezlet85e1tpKpHb7dpp27QL+9Cd3f2nGDNtsRYTXzp5Nym2h\nBcdLSmhfc+ZkXi8adZuliMk5cHHkCNDUNA7PPZf+tyFyV5MNU8SUHBItpsrK4tTVG0V+GJIyBWlI\nXaGEznV8J6ETHSTOYUb6EttwXQM3TZgahSdw0wSTJEg+BVJvF/rqSmGWVAxmpBO1AwyhiIbKtqMw\no2GYmp5oGwBIPoVeO4gsuXxa21vRFon3ySqag+C5yJ3jM/E57WdoFTxqyyjBO1lwMhA6IDeVLjnk\n0nbB5EnLZBehE2QpmeQZGnXixpb5i1pPMx+U+iTIWi8iMfd/hmirZD0vJNXnWmboJoWTWufOmFAp\nLVMVw0whd4B3iGYx1bshI3gYfgresCZ2+/eTGnb06CroOqkQTrdBLwSD7uLlc+e63fyEeYogctXV\n1AlN53bZ0HAM9fUZmE0B4JwUQmetsoMHaWpsBN5/n9RFYAUA+s+dPp0IwqZN5LC4cCFN+ShxyWhr\no9psjz9Oxh6hEKlcV155GHfcMQ1TpmTePhajAuAf/agJXoRR3UJx0UUa7r23FC+8QKTNC+XlZBBz\n003A//wPhZd+6Uv0ft06qnVXVVWSPOidFnV15Ax6wQX2smiUiPfbb9MkiPjzz7vJuFDmZsyg73X6\ndCAcroMsU3juxImFmeM4EQhkV/8AoKHhVWzcWI/eXrdpSkeH2yxFDI40N5NK3NmZ22+xstI9edUO\nHEX/USxCBwwTlc5J6Kz3oiwAl8elEDpumtAjMZhxHdzqhBlxHUrAh0jFbKB0aMJ7YgZHpLkVRtQR\nQilLkFQFUlSG5FMgB4jsMcWXVMYBgCS7rgEkOfG5k5RlU++AJAKYjBwffIlj9xOjBG/kYigIHTB8\nSZ1boQu4FDBT12wy53gtCF/FmArEdQO+ISAGmm6gXIqgmzqbCaWOSTJkxQdDiyQUO/GZmXhm03ub\n4DEXUctHvctWNiHf0EzT5INK7oDhR/CGNbETKsKECVHMnl2GMWPSm6eIqdg5RPkiHrfz7sQkTFSE\nkcrRo6n1xcrKqKM/bRrwoQ9ReF84vBN/93enYMaM3OrRZUNLC4UTvvACTdu30/LaWlKuLr0UOPNM\n4KWXGjFlShZGACJHHR3AddeZjlGbwceaNSYWLAAefpgGAjKpqcEg5Rpedx3lJP7mN8Dvf08Er7p6\nKb76VSKHGzdS8fC5c3NXPwMBUk2XLnUvN026D/bvp+n992lqbCSVr60NABbg9ttp/cmTifwL0xQR\n2isMU8RUSKkELzBGKnRFBd2DuSIet41RhFrufO80TensJNLY1FScNo+CMCSELtt+8smly6bSWe8T\ntd5ME2AmTC2aIHSmpkOPxsANE3pUg94XhWmaMC3nTG320A066QZD94EmcNOEHPBDkiQopQEwWYIS\n8EEyhDW6BMnnJniArdYlwiGSyR3gImX9Vu9yJHdA/9U7as8owRspGEmEDhgKUodEeJ6T1AlC51Tv\nBMFTWcmQ9ZtMk8OHeEI9NHUNkuKDpPqgW6ROVhxqneoDNw0wSU6sm0zMUt57qHeDRe6AwVXvgOFD\n8IpC7Bhj5wH4T5CT6q8453ckfe4H8ACAlQCOA7iCc34w234XLiQC0tCwO2HJPhTQdVIrkmuBCTOV\nlhbbTKWjAykhiYpi596tXEnqkOi0C1Vl3LhUQtLQcCKtTX02tLeTecqbb1J+2NatpAgCREBOP51K\nFJxzDjmP5hu6uWUL5fARCWLYsWPoAo79fobPfIYUuKlTKS8uFyxYQLXvvv51Uk1/8YsD2L9/IZ55\nhkJMAVtlEmYpy5YR+cnnekmS20QnGeEw8Oijr6OubjUOHybif/gwDQLs3ElqqjWo5kJ5uds0pa7O\nbZoiDFNqa7OX9SgEqmqHL+eDe+4pflsyYaCeT0OOInYIhlKlcx0/C6njugbISFHp9KgGI6pZ8xj0\niCPXcHgAACAASURBVAatN0o1mUKp5VsGC2Y0ht6mTkgygxJQoAR8ME0TSoBIkQJAB6AE/TA1HZJP\nASxyZpM7FQC3XDHV/Mhd0mcCadW7HEMzgeKpd9Se+AeS3I2EZ9NQETqgMFKXXCTcC8UKv3Rvn6rU\nOUmdWGbqcRjWczDW5x+yXC0GjkhfL+JR6lzIis9qn03wDF1LS+6SwTlP5N0NBLkD8jdWGQr1Dhh6\ngtdvYscYkwH8N4CzARwFsJUx9ifO+duO1T4NoJNzPpsxdiWAOwFc0d9jFwLOkQg7c4aceZmotLcD\nx46tQ2+vdx/K77c709OnE1lymqhMmEBkrqZm4AwoOjupRpoI/9u9m/K9mpvtdaZPJ2Jyww1kprJy\nZeH5T6EQFSO/9VY6t//9X7fcPthgjEFRFHzhC5TzdsstdD2+/W0iebli2jTgnHPacPvtC8E5hVC+\n+ipNr78O3HWX7TBaXk55mEuW0HzBApomTy4s97KkBJg6NZw2jFQUGhfqb3OzPRfOrNu20SBDb6/3\nPpJNU0QYcnf3FDQ2ukOUq6pI/U4XnjySMNKeT7lgyFS6YpcwSG5DJlLn2oAnlLpkUhfv6YMe1aD1\nxRHriSHWHYN8pBX+uUnFLAcJekcXwkd6oAQVBCr88Fek/pHkQu4EBoXcpVnfC6PqXeEY7s+moSR0\nwMCEXgK5O19m2yZFrQPAuel6n9I+i9RxgwjU8a7eITMnU2QJJ7p6YcQipL6B2i37vP/4neROvBeq\nHZJq22UjaoWQO2DkhGYmjq2bQ0LuiqHYrQawn3P+PgAwxh4BcDEA58PpYgBft14/CuAnjDHG+6FB\nx+PucK9MZirOHKETJ9IXOpckdwHzRYuAuXPbsGzZJJf6IeaVlQNrogJQp76zk0L3RN2z996jad8+\nIp8CgQARjLPPtkMCly2jc+pvG7ZtA377W+BXv6L2XHgh8OtfC7WGwefzQctUqXqAYJom/H4/JInc\nL2fNAu68k8pkXHop1QY899z8FCvGKI9x/nwqDA9Q6OyuXaSCbt9OBPqxx4Bf/tLerqSEQjedRimz\nZlFY7aRJhZN7Z6HxbPXlwmG3qizmzsGKo0eBt96i15o2C3ff7X3Mykqb6KUzTHGGRTvDoQf6d5EH\nhuT5NBAoJqEDBpjUZVsnTR23ZFLnXF/k1AGk2JmGAW6Y4AaRPCMag2mYCVIX7Ywi0hmF/M4hKOti\nkAOD6+ZjGib63mlE/HgEvlIiK5JPBpMZkTcAkqpQ+6HDlOXE8hSQDJHIuUtL7pybDBK5A4qv3gEf\nCII3bJ9NI02lAwondZ7rZXG/zOR8Kd57qXXJONZ2AqoyRCOoDOg40Z0wSREQqh0Al2rnVOmSQzJt\nV1BS7QCk5NzlIgAMJLkDBj80Exga9Y719/nAGLsMwHmc889Y7z8JYA3n/J8d6+y21jlqvT9grdPh\nsb/rAFwHAMHgvJVr176A7m4gGg0gFFISUzSa+ccQCBgoL4+jvFxHRYU9r6jQMWZM3HodT7yurIyj\nrExP+R8LhUIoy6XoW4EwTaCry4e2Nj9aW/1oawugpSWA1tYAjh1T0dZWir4+9599VVUMkyZFMHly\nBFOnhq2pD+PHR4uisoRCIUQiVdi5cwy2bRuLN94Yi/b2AGTZxNq1x3HllYexcKFbGgoEAlD76/hR\nADjnCIVCrmWtrX48+uhkPPPMePT0qAgEDKxY0YkVKzqxdGk3ZswIeV6nfL9rzoGuLhWHDpXi8OES\nHD5cgqNHg2hqCqK5OQDDsG8mVTVRVxfF+PFRxzyGmhqaBwLHMXZskZLm8mh/e3sEpjkWXV0qenpU\ndHcr1lxFb6+Knh5639trz0OhzN+zqpooK9NRWqqjrEx3vV64sAd33bVgG+d81WCcYzGfT85nU11t\nzcpHHvg1QjEdZf5BSFX2eE6HNANlaUZXs++vfx23UJyjTM2QV5uynHu+TGkH5/YKnNP+uWM9ztEn\nBVCih8E5OWDCpPW4YYKbJrjBYeomTGvOgkFMOGURpEHuQBm6jvZ9B6Cd6ISiSJCsicmMculkiTpB\nkvWeAWBibnVAmAQwoI/5UMaskAGw1JET5vjjcn2UvJ53x4ZlGIkR33VOYMXtvIQ0Y3B+XxY2nffh\nEf9sGltVs/LbP/4VAKDaz9ERy6MzW0S6WB3g6IgOTkfa+bipCXK0RzyOmy6EMssCr2ecvYwnZpyb\nGF8ho6Xbcud1PLM4J3t8TismBqgAjlVLZqM0OAC5ElnQEwrjrbffh3hGMEkCGAMDsx4xUuJ5wcTv\n2vk+cYkZ6soY2jzSRVKeK5nfOjfM2n7GBvceS0bBx+5Hc//pqotzej4V44np1czkX0Iu69BCzu8G\ncDcAKMoq3thYB1nuxZQp5Zgzx22ekjx3qgh+vwwKW+8fGhoaCs7vC4XsGmMifE6E0wlDlaamVAWx\nrIxCA8eP78AFFyiYOROJadYsoLTUD8APoLK/pweAzC3eeotUuddeA158MYrWVnrQVFaSocqFFwIX\nXyxh3LgaAKlJVZ2dnTh48CDMDCP7A4GxY8di1arU+/yKK+i6Pv888Pvfy3jmmWr85CfVAMgkZPVq\nqlN36qmUYzh5MvDCC4V/18nQdcqTE2YpjY0SDh4sQWNjCbZuFYYpbtTV2bl4wihFzEUuXVVVcdUw\nur9Py2ub5JIjTtMUmkvo6vJZE63b2koKc23toNfsKdrzyflsWrV4Pt8woxIvNnZhw4zi/A69kEml\ne+lwCOun5j/oVAylbnOLhjPG+wYsr06857rmUutMTcfW8vlY1rrDFYap9fTBiGqI98VIrbMUu2hn\nFH1RA/w3PwXKBnfghJkcsa/9EL5oFCXVQQTGBhAcG4C/wg+11A854IMS8EMpDUAJ+CAHfJBkmeZW\nKQSm+ABJwmvKVJyGFlKxrJHzhKIl3jsVM8cIpVuR42lVuHTK3eYWDWdMzL3jWSzlDrDu8SmlJ6t6\nNyDPptKJc/m9++j7+oe5UYjXmTAQCt1nFmj41d7c74VClTrArdZdv0THL3a5u7a51qkDsqt1zuVO\nJc6Ma7j5zArc8XRH1vw6EYpp6ho+85EwPnn+CvjUwRvAiGo67n/qLfzvM9spn07xgclkliIpKpgk\nJ/LshIlKwiHTWg4gsd6N62T852uOwuSJTgp3KXBeql1ySGZi3SwKlyQzXLcojrv35P9sKIZyl+/9\n7Tr+AKt3xbiTjgJwGuNPBnAszTpHGWMKgDEATmTb8bJlZPzR0LBtSM1TBER+nqgFllwjLNlMJUlI\nAkBhahMnUud93TqaT5lC82nTKC9MFDYvtmmMphHR2LOHwgpFaGFjo73OtGnA/Pk9+PKXA1i/nuq9\n5VJzbYxX9fIBhiRJqMng3KGqZA5zzjn0/uBBYPNmmrZsAb7zHbufOW4cMG3aUmzYQLlzixdT2GNF\nRWFtUxSbjHshHLZNUg4fJidSWZ6BpiYKt33pJSJMXuck8jrF5KyxWFtrT+PGDUxupyzbYZmF4Ne/\nLm57smDAnk8DjWKHXgLFC78E+pdXlw0Zz12E/Tg6YJJPhRHVrDBHGbJPhhJQEBgbgBLVob/2OqSN\n68EKLSCZJ7hpwnzvPZT7TchlQailKpSgkgjFFG32Cr3kHtedc551pLc/IZlZkWdYJlBcgneSmqsM\ni2fTUOfSAcUjdf1FsmGK5zoeuXWFQlJ8eOaNRlx93op+7ysfMAY8++bBlDDM/iCXMMpcQzJzQX++\n96HMuwMGPjyzGP9yWwHMYYzNANAE4EoAVyWt8ycA1wB4FcBlAJ4bDvkrkYi7VpfTUEWYqOzbdwoM\nwyZz6dLIKivtjvbKlbbCIiahugx0Xh7nRCr37yeFZN8+MgJ55x1aZrlrQ5IoB2zVKuDTn6Y2L19O\n5KCh4W3U19fmdVxJklBdXY329vZBs+9VFAXl5eU5ry9qxl19Nb3v6yPXyW3biOBu3izj7rvdNecm\nTaJcu3nzKH9O5NBNm9a/WnMiH08Uf5858xDq6921BiIRb6MU8frIEXI7bW/37oOLnNHaWjtv1Dmv\nqqIC5aWldi5dRcWwyo8rBkbk82nYkzpHQdpC9pm2LY48lGztZbIEWJdJEgXJDRNqwM6niEcpLErd\nvgVswxn5tbcfYLoO9Y2XUDaBFFXZJ0MNKFADCtWwcxA6lq2jY5ru4JM0uXYp2+RJ3jLm2xWwz2Lm\n3QEnZe7dkD6bhgOhAwae1OWj1g0GZMuoRLJqwR07EcWeg+1YNrsO0iA4qeiGia17j+FESE8QO6HW\nFQIiuIXXGfMyUgFyI4r9+SUMNbkDBo7g9ZvYcc51xtg/A3ga9PdzL+d8D2PsNgBvcM7/BOAeAP/D\nGNsPGm26sr/HFdB1d1hYOiMVLzOVSAYX7DFjqKPr91Mo5Cmn2K6CdXX2XKgjxagzlytCIXdBczEJ\nc5Vw2F7X5yMismgRcNllpEItXEjzYlvgT5gwAR0dHYNC7CRJwpQpUzLmhmRDaSk5mZ5+Or1vaHgT\nGzbUo7GRVM29e8lp9J13qPyBsyC3LBO5E+GxM2a4C47X1PSfIAWDmVU/AdOke9ppmNLWZg9GCLfX\n3bvtwQu7j32Ka1+K4jZKcRqmJNeMFJMIhR6Ikgr9xVA/n/Ju7wAQOiBPUpdtX+lGqgtR65LDMLPs\nE4DrhyUL8xFNTzFHkWQGtcwHSWbwlZmIH9mH2LR5gDzAqp1pQuluRyDaAbWuNJHsL6sy5IAKJeij\nunUSFSoH3OSODUDnLlfVbriTO+DkUe+G8tn0QSF1/UGuRisuePzpu10kyRlTdrhQAsBPH9+Fn9xQ\ng4BvcIjd3U/tAXMYDQhS5xWG6TqXIip8xUIhZiqJbYcBuQOK755ZlH84zvlTAJ5KWnar43UUwOX5\n7relBfiP/wDefnsOfvUrJPJ1urrsySvc0YlAwO6AVlVRp3vlStvpTygVYhJKhiBqDQ1vDmoYqKZR\nHt7Ro8Df/laLrVtJmREhe4cOpYboBYNEKmbNouLmc+bQ63nzKLRzsGzrFUXBlClTcOTIkQHPtSst\nLR2Q8E9Joms3axbwkY/Yy8lohBTQ/fvJlVQ4lT76KJElJ4JBO7R26lS7bqHIoZs8mcomFKvNooTB\nokXZ1zcM+u10dAB//eubmDp1RWLAI9lBVtTS6+xMX0pBwO+n39mYMUT2nHMxXXxxcc45HwzU86nY\nGDakbpDzZDNCkjzbI1kPNcPQqNh3aQB6XxSwyJ0kS5ANE5JMSp5aEsSYpl1onjoHA312DCaqD7wO\no2oMlKDPcvC02yIKlUs+BUyWIFvkTsrkipkj0pU/8EQhIZn9bVOx9nnykLtBfTYNF0IH9I/U5Yp8\nyFmmMMxCBqtlxZfIswOIFAlyR+/t+/dgRxRPv9mEc1dORkAduA5bVDPwhy2HcKw7DjWQmnMsSF3y\neeSLdO6Y+aI/2+aK4UTugOKod4OXrVkAmpqoflhJSS2qq+2O4uzZdgcy2USlstKtLAQLV4iLCk0j\nNUWE0Ynp2DF7ampyly8AqPZSRYVNDtasIcIg1KFp00g5HC7hc1VVVeju7kZ3d/eAKXeKomDmzJn9\nUuvyBWO2OnuGR0RXby+ppocO2fNDh4iM79hB330yysttcxRZno+//MUdvitCe4tFAAVk2R7IaG7u\nSVs/Lxm6nqqGu01TbPVczA8epNfkbJtdffygYqSQulzVukyfF1M9ZLIEGQoM6FBKAzDjOiRJghmw\njyeMSYLlfkxu34Mj45eCF9m9MdEebmJC1/soCQCxqgpIPoWInXX+ItRKKQ0kSB2TbeXOE0UiX1nV\nuFzXGyRCmA0nC7kbLJxMpK6/al0xwzCZJKeUMnAuY5KcUO0EnPl5Qh2776VmLJ9di4lj/VAGoDZw\n3OA42hnDg5uboATLEqYuznYAcBmjOM8nGU4zlXzglWeXLhwzV/RHtQOGD7kDiqPeDWtit3w55T+9\n8MLLw8I8xQlRNFrUBhPhb8mGKmLq7EzdhyALwv1w9WqaT5pEis6xY6/j0ktXF2zgMRRgjGHGjBl4\n9913EYlEik7uZFnG3LlzoQySCUKuKC+ncN1TTvH+PBYj4n7kiNsRVTilvv9+JRoavGsslpTYhimi\njmKyUYpQ7KqqBk6hVRT7OIUgFqN7/hOfKG67RjIGitABQ6vUFWqa4gRT3QW6mVC5GEjZEqaa0BPk\nTpZ9LpLEZAmKcJ8sCcCvmJhkdqJJHgfeH99pD0jgqOYhjDV6YZQEYGo6mCxBj2ouoxfRLiepE2pd\n4hyHAXHKiGEQkgmclHl3A4KTidTlioJCKfOAUOAS71Wfa7lwkzSs19w07HUcvwWxns4lfP3xJnzv\niumoCDAoRSQausnRGTZw2+NNYEoAimTA8CCczjYBSHHDTG57OhRz0H0wVDvg5CJ3w6t3nARJGhwl\ninNSFJKLmXd0ANu2Tcfvfkevjx+385Xa29MXOq+osDvfixdTuYC6OluFEfO6usyOkw0N4aKTOsMg\n8imMOFpabELa0UHnfvjwMqgq5eoJsxW/n9TQCRNILVy6FFi7llTDZEiShHnz5mH//v0IhUJFI3eK\nomDu3LkIppFhu7qAV14B3nyTQiaPHaPvLBIhtUmW6TxKS221t6qKiEptLdDeXg2fz1bMipkz5vdn\nzpdraNiCjRvrcfy4bZAivh+n2+qBA3SOHR3eicOMkWItDFLE5Awzdk5dXSp0PTfn0/7CP7j1oYc9\nhhWpy2Wfhap1RQBTHKUVGEsQoESaikpkiRsmYPXxnaRJrSgB8wXAfAFUqSakIMORcP+S713tY0Bt\nUEKdFofhC0AqrYBqmmTooiow47qL3DlVOiepSz5ne/8D9EdYaK5dARgocgeMqndpwYcXqSsGBjq3\nzguMZajZ6YFkcgcARprnpyBPSrAMfaaKr/+lA185pxpjgzJ8/VChBDSDo73PwO3PdCDGfFCCZdAj\noQTpTNcmIFWVy0TqBoN8ZUJ/Vbvhhv6EZg5rYpcPOKd8O5F75wwPE6YpXoYqYrlheO+XsWkuAjB9\nOtU+E+6CTrVEvB8KEwmhICbXykueWlu9+2GlpXROY8cCsswxcSKFsSoK7TsWo+u0Ywfwxz/a7qCz\nZwOXXw5ccw3l9AlIkoQ5c+agubkZLS0t/SJ3kiShtLQUM2fOTFHqOjuBRx4BHn4YePll+9xEPtuU\nKfZ5GAaFA4bD9L0fOGDfA4TF+NrX7H2PG0dqqlBURX05Z425mpriRSUxZhOxxYszr2sY9gCDMEgR\nr8Xy48cpH3DLFnrtPRCxDgAR3XRGKeK1s16kCHseM2bwcjhPJgw7Ujec8uqSYeXZMcX3/9t792g5\nrvrO97urH+d9jt5HT9t62LIkbNmW/MAP3A5gjMOFkOEO3Kw1SS4LDAHugkluJsllZpIVL68JJEwG\nJkBwYNYllyQGcsPlZTJAQoNtgW3Jst4ytt7Skaz3kc7ROacfte8fu3fXrt27qqu7q7uqun+ftUpd\nVV1du6q6tU9967d/3x9QuRGRQxytbBoWKvOpFOxKRy5z8EROWxZWRWyxjKgLt6CPITs0gqMXplG2\n7ab7J8YYGGO4buEw5vFr4AWA9fWDFfph9Q+KbSwL5Vlx3Lbyh0Y9RinqagRenCN3zThvkrhrOxuW\ni6fBcRR0UQ/BDINU2qqJBsqIHFOGeKviTnyu9nevGpWksgNgjGFyjuOJZybxW3eM4pbFaWRbiCIV\nbY6XzhbxtZ1XMVUUeW+prHgwbhcLxmGk8rjU8/B6P45mKq0Qp6idREbvXvzjh8H+JNhnYi3srl0D\nvvIVYMeOlfjJTxzjFJmzo5qpTE56izNA3DTLm1d5s3rddUKwSeGmGqosWCBusHft+ine/OZcx87Z\nxPS0u9C5mpen5udNT9d+dv58R4zcequ72LWMHC5ZIob7SfL5Xb5DX4tF4Rr57LPAd74DfPrToibc\nm94EfPSjwLvfLUoBMMawfPlyzJ8/H8ePH8f09HRjT70sC6lUCqtWrcK8efNcT61ffBH4/OeBr39d\niLVNm4BPfhJ46CFRwqGRvLRiUYih739/O1as2IozZ5wSA/La7t0rImb6/W8m45Sz0Ce1zMWCBeFG\nn1MpJyocBFmDUUZlpVHK88+/igULbqyukw89TpxwHnqUSv77HhlxCz2TacrYmLgOUZinxI3Yibog\n+w1haKUfLJ0R18VKAXa5ulwdjmkwUZHiTs4DgFX5kybFUao/C5bOwhoaAUtnRNSuIiwGs2nctOZ6\nnLl0BZcuXBBVn4P2T5X/zCOjY1ixeD4yhSng2jWwjGiPZfthVXNsZh0haus3hI6gU5dd0bpMFuC1\nBckDoYmvRiJxgbYlcRdLulHUNUK7h2FK1OGYVbEjXTCLharwUQWe+lm5vYjsWdWpUAb+7sAsbrsy\ngHden8ZwRtimBrmH4Bwoc+ByEfjusTL2TMyhZKO6b8457JJ7GKapJp8q2vSho50m6HDMMKJ2cRV3\njRBrYXfhAvCBDwDAOjAmbiDVG8UVK4R1v+7Ep0cX5s8XwyObiSy0KxoxN2fOx1OH3x05chcuXza7\nEfb1OVGjzZuBRx91Cp/L9StWtMc8JpMRxeNvuw342MfEsX71q8CXvgS8972i3Y9+VHx3ixcDAwMD\nWL9+PWZmZnDu3DlcunQJ5XK5KtSk2GOMoVwuw7IsjIyMYPHixRgbG6tuVygA//RPwOc+B/z858Dw\nMPDbvw188IPAHS3U95TibN26KV8jkVJJfEd6fpwUgQcOAP/yL+Ihg0426x6GK4fiytdTp0axcqWY\nHx4OfwgyY+L/wOioezjo8uWnkMvd6Pk5zsUDA5Nhim6UIh+4nDolroVclsJw/XoSdu0UdU3TSrTO\nVEw7JBFoEncsnQWYVSOIANSIPGZZjpCzUmB9A24Rwm2keBlLx8cxOLoAFy9dwuzUFdjFOec/IK/8\nI/sq24aVyaJ/eAxj8+ZhbCCLVGkGKCu5XpYljrkw6wiYwixS/dlq8XEZbayeq3JcVTFVRzCFJmAi\nMEMhcddbdFLUhYUpMmd6z5Vrp/zdNgk8/T1ACKVMf7+IpqUsURqlYi5y8GIJ5woWbl3chzfM51iS\nLoMxUUO00iMBYKKbsm3YzMLZYgq7LgL7LxRwYcp5Kiv3Wy7ZjkNnnf+D+vtekTxxj2b+jqMeotkM\ncRR3jRBrYbdsmYjM7N79DB599IFYj0opFJwcPNOkmqucPStujk2MjDg3/+vWTeHWWweryzL6s2JF\n+wudN8LSpcAf/AHw+78P/OAHwH/7b6JMxR//MfBrvyYKgj/8sBB41113Ha677joUCgXMzMygWCzC\ntm0wxpBOp7Fnzx488MADiugDtm8XQy2/9jVx7datAz77WSHqOmksk047gtmPa9fc0VW1uPiZM6JM\nwrZtugOqo0wHBhyTFDm8Vx/yqxYbHxxs32+BMSE0h4fFsNZG4VzkOE5OiocZvUy7RV3XDMGsRO1U\nXJE7ODl3qiBK9Ss3GulsVWDJ3Dr9DwizS+DFWVjpPgz2pcEXLsTM6HzMlcoozhVQLhVg22Vxv2JZ\nyKSzOP3aPtx4253oT1sYSDNkeAmscA3MLlWPmaWz4NasaFPFtqtDSdVjdR0z4DrOqviR/8EbfVre\n4h/NYLUI4+GSqULirvsIaxhms46Yfnl2pshdtcyBj0FJtUA4Y0ilLZczZLnEUSrZuFYo4+ClEs4W\nspg32IfxoRQWZoE+xpG2gJINzJQZ0hePYW9qJS5fK+HidAHXCmWUSjbKJY5UykIJZTCLVYVWCUp9\nvToCr5F6dp10KzfRbbl2zRBrYZdOi+GShw+XO/Z3Qw5Zk0PTtm+fjzNn3MPX1On8eTGpxatVGBND\nO+XN+W23OcXNTZN7SOR+5HJLOnPiIWBZwK/+qpgOHBARvK99DfjmN4UweOghMVxz61bg5puzGB/P\n1giSqSmGnTsZXn5Z5Mz98IciQpbJiP0+9hjwtrfF7j7CxeCgEJ/r1vlvVyoJcXfmDPCjH+3G+Pit\n1cjtuXPi9dQp4OWXhaD1Muvp73ebpJgmdYjxwoXiwUAncuMYE9dD/V13Bf3DDW0eS1EXdN8hD8N0\nuV0qIq46HFNZr66rfo7Bid6ZkOJPirp0xhkimc6KfQIAt8G4DZTmkE0DyKSRYgwZi6GYToFjANLv\nJGWJZhkDBjIW+lMM/SkGFItiH/o5prNC8Oj5Kx51+dTjlsfu7CsDaMOhXaIlgqFRYdDOqB1A4i4u\nJDFaFwQ9oqeLnXpDFq101hXN0ksAAKI0QKFko1AqY3JG9INlG3jdYhjuF7fv4n0b6wolXOYlTM4U\nUSiVUSjZ1dp8ao0+GbWTx6+7e9ajts5djG/GWiDJUbtYC7tmKZeF0FILmetmKpcvmw1Vao1UNrv2\nPTLiOAwuWiSKgcsbajWKIl/baT/fLLYtjGamRFoIZmZENKVUEue+d+8o+vuFYBgcFKJs4cLGXA03\nbBCRuz//czE88dvfBn78Y+C733W2yWaF0OjrE+1OTgJXrz5QfX/BAiCXA/70T0Wx8IULGz/Xcll8\np1euiPOdnXWGBjImHh5ks+Jcz57tw8WL4nyz7bvfqJJOO7mOk5MXfYeBSnMc3Rzl/HmxTs5fuCCE\noHR39UsZGhsDBgfvxrJl7mHL6iRz59T5efM6c326hSSLujigizvGZfSq9oZCCgUxJDJVfa2J1nEb\nsEvg5SJQnAWYhUwmDZZmyFgWijZQ1v7zpBiDxYChjIUMA1i5AFYuCPGmijvLUqYUmPwrq4g8r+9M\nFzqNCrh2CiVfmozaxUncWTfd17bj6FXCEnVhmqYwixmjdqmUVVOkXBdvetROihpnG+bKq9NRRZH8\nrIzWyXW6mCjbHNcKZddyymKYUdbNlWyUOcfkbBEzhRKuFcqYK5TBbV49J6sSrSsVytXzckRZ8Hw7\n/fhV9GidaRuTgI0rSRV3sRd2zz8PbNu2EKdOiRtbmbdjmqSJilf0TGJZtTl411/vNlaR0Y3jxtsZ\nIQAAIABJREFUx3fizW++vWqyEqcbWtsWokUtwaDe4MtJLyQ9NVVvz+aEtbExMRz0hhtENGr9emFa\nsnmzuDYmMhngkUfEBIgo1Msvi3IEJ0+KY5qdFSJndBSYmTmEt751LW65RYjmIPcKc3PCzGXvXhEp\nfPVVUST81CkheoL7tbyxOtff7+Rtqu6QMgKmlhJQRXy7fh/S/GdsTFyXINi2+L6lyFPLeciHGAcO\nTCKbHcDFi+J6yYcchTpaYWDA2yRFn0ZHxes993Rh5K4Oscypk8RlGGadqJ1cD8Al8EyoBiNVcZdR\nhjgahmOCZ4Cy+MGnMwPCZMAWuSvlyg1gqvLH3WLMEXXFGbCSEHfMLpkjd5UoI0sDvARH5NWhVoww\n83sJjdZ1EorcEWFiGpJpysfzGq6oih0p6lIpbRhm2RbDJm2GUsnGjPJ5Keyyyn4KJRvlLMflawWU\nbe4SfTXHbzGk4AhSzrlLoAZxugwi6qKk14djxl7Yvf/9wP79t7jWZTK1N49r1zrGKbqRinyVUYeR\nkeAPF/P5SWzc2IYTM1AoOALt/Hngpz9dgj17nHWqtb0Ub173Zv39jgiZP19cH3ktpInG8LC40R4Y\nEFGzjMj7x8sv78Ib3rAZhYIwzpBuiq+/LnLGjhwBnnnGLRBXrxZDLLduFeUgtmwx57+Nj4uhlG97\nm/m48/kTyOXWel6jYlEIuO3bRf7ljh3Anj3OMMV02qkXt2WLyP9btEic9/CwuC7ptBBKti2id4WC\nEJc7d76ClSvX48oV5yGCFMRnzwIHD4pr7vfgYHS0NhdOz4lTp3bmx1mWU8LAi3z+IHK5pa51nIvr\noUazVYMU1Y1WnT92zHnIMjNT29aRI+a6h91KJ0Rdu6N1zQzDdNWc89pGKz7uK+4At8ArMf8bdSnq\nqssewzZtG7BsoFx0lSpnVgpZZoFbaWSUmwMhAm0h6MoFoFxyonW622VlKCYvFWrEnXjf9/K4zsW9\nX+/zbpsZSVjF/rz23+aoHUDirqcI+fdqLG/gIe6kUNO314WQFEH6el2MlEsczBL7KlSE31zJRl/a\nwkwByKZTKJRE31jOcJRtjkLJFrl1ZZFfF/TcVIEn2rZd2zVKtwzRjEPUbsfjjzS0feyF3Ve/CuzY\nsQMPPbSlKkr6++NjHOJFsViblyfFmMzLU0XcuXMmwSAUpczTk+JgwwazaJDbLFzYWmQkm73kOywQ\nEH3nxIQQWTt3CoH14osin04e8003CbfKW28V7qU33SRu7IPU+SuXRQTptddEFE62s2uXEB2AEOlb\ntwK/+7tOO2vXCoHaDMuXn0Yut77udsWi852q358qwM+dE0Jn+3ax3i8/bvFioL9/C1avro0E6rly\nixa1x+lUhTHRxsCAiNA2Q7HoiGMplJctC/c440ysI3VA56N1frllBlziDqgReLX7dwSQK2rnylXT\nxINdFmKNWeDMApNilKfFcrlY2y7nVVHHysVqtM58TNqNTWVYZrWsQ8DzqTkvn21824fhGoRJDE1U\nVHpJ3O14/BFs+U//HPVhJA7TcEzAW9wB5gcffqJGF3UyWqd/htscSInXMmzMFZxonRxJMFeyq/N8\nAJiRhilluzrcVB12KoRjZRgmxLnKc/MaZuqHV5TO67NJGoaZZGIv7LZuBaamruKmm6Jpv1RiOHvW\nGbqmFzbXh7nJyWR5L5FmF1KQrVljzs87cuQF/Oqv3oUFC+KXp8eY4xCpRt/On3dH0557Tjhaqkgz\nmXnzhABNp8U9wewscOrUVszNCUMRNddx3jwx5PN3fge46y7xu1i7NhqBn8k4JQuCIA151ELiqhg8\nfx44eLCAyUkhZOv9fgYGvI1R1EktLr5ggfhcp65XJuMcX6/RMVFnGPqXJPyidkDt8MvqNmD+wqfy\nnixGLh0yXdglIJWtRu1YuQCOLFipAM5KYKnKn0Zdd3EuBKBdFgJPfgd2Weyz5piyrqidmnPnEng+\nsHQGKGr/cfVIXlS5dSHRiagd0FviLkrCNEyJQ1FywLv8gZ/A07dR9wXUFzpCZFpIpYEyKm2nLcwU\nytXh4YAQfBxwibpyiRtFqus4UrXiTtLI+ZjOLWrCHI4Zh6hdI8Re2LWKbYuban3YmJ+xijpNTz/o\nu385xFPexN50k3Oj7RVxGRoKduycX8PixSFchA6yaJE7pw4Q1/zAASFajh4Vkbjz58U1v3ZNDIe0\nLCF4ly6dxc03D2PpUuGIum4dcPPNInIU9yitF2oNOS+nzHx+j6sofKEgHhao+ZJ67qR8mLB3r/Nw\nwa+YeDZba44yN7cB//iPteYo6iSHOzcbCe1WrJvuA45837Uu9pG6KDFE7YziDjAKPKD2+npFsYKI\nBMZtcKRE2QMrLcQdT4Mxy0c0czF0Uw7LtEuAbRvz69zHZbnEnXT8DHxehnOsbms61xhHzrwgcUeE\nQoAbBS8DFcA7agf417aTYqderpku6lgdwaCLu3LZrpQvcMM5b0jUyWugizv9fBrBT9T5idh614Bo\njEQIu4mJfrz0kntolzrESzVQMS3XG3I9POwuar5mjZhfsAC4fPkI7rhjdVW8yejHggWds4wPA87F\n8LiZGREZm5sTy8WiiIzJ+y3LAo4fH8Thw85wvOFhEVVrFmmccc899bfN5/e6BE4Y2LbIFbx2zTn3\nkrgfA6/UHk6lgJMnB3D0qMg37OsT5x7VsF9Z0DxoVBBwIoMykqw6verOr5cuybp6o3jpJfF/pd5I\nucFBf3MU9VWfX7062BDcJNNJUddSbl0HhmEGybOrbquLO8BYy07sV0Sv/IYlqmYppqGHvFQEy2q5\ne6iIu4rIq9Y5YJWbkapw4zWizuV2qf8GKscgr4VL3KntBxEaSTBKiflwTIku7sgRMzy6obxBPXEH\nwFPgee7Tp7SBSRCVy2K4pBQ95RKHM5Cgtm3OURV11XUVV0zbkPNnOv5mz03kFvpE8bpgCGaSonaJ\nEHaf+MRtWjFnh2zWfVOpGqnISTVS0U1Vxsb8RUs+fwy53Or2nFhAOBdGJXpUUY88Xr7siF05ybIG\n09P+0Rw3d9WsGRhwRK2sw7d0qVMwfdUqYOVKMd9IWYRmsW1h5nLihHDXPHlS5PydOSPWq8Nng4h7\nwd01a2QdNlmke2SkVsjoES71IYH8nXWqZpwUUtdfH+wz+fzzyOVyVVGoRrF1oxT5qj48OX7ceYAy\nPe3dzo4dIg+yW0mMqIsaj1w7T3EnCZiL5nLAVNvUkYLKSlc1W1XclQuOoNOPU9w9uUSdLJ1QU1Rd\nF7eVc6+p4+d3jj5izjO65SGs2ppfFxKditoBFLkjWiOICKpn9+8VqbJLNqzKZ2WOnag/x5FKe0cb\npahTc+z80KN2puNu9PxqtukCUZc0EiHsPv7xV3HLLbdgZETcJMtXaaSSFEold+REzdUzLZ86dSdm\nZ+sPsQPcwnZsTEQXb7jBESTSAXNwUAiv/n4hijMZITpkVMq2gd279+PGGzdidlbcrE9PO66IFy8K\n0bR9uxBRptIJ4+NC4K1cKYZQLlsmcuoWLRLCUDpUDgw4Tpwyonjq1AB27RJCQUaezp4VbU1MCAF3\n6pSY1w1JMhl3sfdNm9xOoNIBNJsVYl66n9u2PO8DWLduA+bmRFRvZsaJ9EmBfPWquBYnT7rLbJS9\n3YXBmCP0vPLfzp5disuXa/PkOvX7VkXhddc1t49SqfbBwtWr4nXNmnCPN07Q8MsGaUTcVT+T8l12\niQFZoDztY5yio0TuAIionRFujNTVoyryFHEHwDwMNcj+GhR1hJluFnc7Hn8EX/z773S0zSRF6/yG\nYwKOIKmbp+YqX4DAkasgww/lsEv3cXj8H+fO8Et5XvWO3XRsplp+zRJE1CVpGGYUUbtGHTGBhAi7\n++67UNelsVOUSu6oRr1JFWpXr/rve3TUfbO/evU01q8fcq3T6+/Nny+EbpgRoSVLziKXC1bj4epV\nIbROnHBHz06eFPb2zz0nxFlwaqNmgBCCy5YJsfjAA06UUE4rVwox28p9zfj468jlNjT8Oc6FADTl\na6pDH1XhfvSosyzucW827ru/3y0C1cm0To0WdvqhRzpdv7xC19FmK/jY4+N26Tsc00fcAcGjkjUC\np5EOQI3aMcud11eTwVKBwyXqqtE6P/RzVZZbPt+AJCFaJ+lk1A6gBzOEP37DMhvdj3F9RTj5GX1I\nocYsVj0WdX/lsg2ubVv3eKRhiiZw232+RPtJhLALk7m52oLmplc5HTt2GzgPXty7r899k71yJXDL\nLU5+nnpDrubszZtXOyQ0n9+PXG5J+y5GCIyMCHOTm826BIAwApHF0y9eFNd4elpExIpFcY/DmDj/\nI0cOYOvWDRgZca7RkiXBDWeigDEnKrpyZWOflUMgv//9X+Cmm+4xikD19fhxUfLh4sXgv0U/U5Sz\nZ5fj9GlnWTVLGRpKrmFNx+gf7mhzLQ/DjEtRcsBfFCo39jXnzKy6hiFVIeMh9FyRGrtkFHdmuFnU\nBYjeuYSudu5+58syWe9zlrTyRCvsKF9C8uyIcElStE5SL2onCRq98/us3q4XMiokh2OqUTtucyfn\nznAs6rnI92V+nfx+rBSrcRo1iTuvNurRiKBLUrROkoRcu8QIu7k58xAv1UBFHwamm6lcuSL24wdj\n7htcy+K4/nr3DbIpOiKndtcYSyLZrFMaoR75fHNRs6Qih0AuWzaLLVsa+2yx6I4OmubVfLnz54FD\nh5z1Ynivdx2RVMpthGIySNGXZQ6iOk8CsXepa6ISoL5doOiNSdQFwS5XjFqEuANQV+DVOGBWtg0S\n+fETd9VtGo1W1RFRSYrWSToZtUttzHWkHaJz+LlX6gQVd0BjgsdL4DQjZnRxZ4S7t28U03XQo4J+\nNBqha+Q6xKWEQlJIjLB75zuBH/7QfxvLqr0RXbpUlCDQc9BU8aZGKUZG3H8n8/ldobs0tgvO3Xlh\nMzOOE6R0g5RumKWS4wwp7y0YE+f+yitLcPasyFmT+XgyP081EOmESUqjlEpC9F+96pjGqG6YhYJz\n/uq5i/Mex8SEiBym00KQyvOXDpmDg0KoyOsRpStqJuMUqG8U+Vt5+ult2LTpXlcU+8oVJ3qtu82e\nPg0cPOgsFwIEkKam4h1xTQqxNU2pI84CiTuguWiiJmpcIsYrWuclGuwSYKXrly6Q2zaCOvxSF3dA\n85HULhR1RPJoV7SuUzXsGhF3gI+IYbavwNHFTD3BopqomIZg6ujiS3fD1KkpcVCnDIQnrEEXzZhH\nvOJCM/l1QIKE3Yc+JMSdFBVqZEBOg4PJjAyotfbUIaG/+MUS7N9fW9pBjVrqIiaclJ9g+XXZrLju\nuhukFMrqdzMyIm7upUDq63Mbt3AuDEhee20Yg4Nu85KpKed8VQFicgT1c2asT+ORQlkOQhW8+m9T\nd201PVzoNNLtc9GiAja0ECCdm3O+F/VVjaoPDoZ33EQyCVT+oBGRE8JQv+pwTBm1AxzB5mWewrlb\n1GnRupphlB7nbXTMBEI990CijoZMdjUblo8CB2ajPoxE0Ki4a2b/zaCKO8As8ESOHa/5XDPE9TrE\nibgPO25J2DHG/hzA/wKgAOAQgP+dc37ZsN1RAFcBlAGUOOdbG23r13+9lSNtLzJvzytXr946bzt+\nR2BlMrWOoMuWiWik6nw5NOS8yjp0/f2OmJKCSkalpLBizIlgbdv2PO64424Ui+LcZmdF1Es6ZEox\nqecqXrokDFTkOc429ffE/6eRTrsjrfPmCedNNeqqCknpBirdMPv6nHOXrpiAuP7btj2PO++8u1rf\nr1Bwopyzs04EVL0W6vWQAvvcOTHkUQrwa9fqn3V//wM1wlgvEK7nx6mvUT3UkL+pRYs633Y9OtU/\npTbmUN6fb/l4/YhttE4SZEhl0Np29cSGx+/cK1rnJ3Bc4g6oFXh+NDAEs3pMal6d6Xp4nTvzec+0\neRdE6mL/m2+BTt479SqNDMeUtEvUmMSMX7ROz+PSxR3gPzRSF3WNCpFOXod60DDMxmk1YvcjAH/E\nOS8xxj4F4I8A/IHHtg9xzs+32F6ocO6IMlNO3uQk8PLL1+O733WvU8XM5GR9ASPt7tWb89WrvW/g\n5XTw4PN4+OG7MTbWWYfDEydmsGlT6/spFJyojYwozsyISQ6JLJfdRcIPHtyL229/Q3X4oxRnMgrW\nzoLhx47N4CbvlLOmKRbdQtj0O9qzZwIjI6uq6y9cEOJQCma9tINOKuU9xFitt6dHD48eHcSpU2Ld\n8HAyI94+JLp/igONFBqPYn9yn43iPRxTE3gmGihzUI9IrwdF66LMr+uavqmd0QuT0Ue7CVvUhBWh\nMok7r+0awUsAx/U6EPVpSdhxztWst18AeE9rhxOMctkdJdGHfunGKl7T5GT9G2ZgNQYH3TfN8+eL\nGnGmHD29+Pm8eeKGuZm/odPTMxgfb+ICxYRsVrhaLlwY/DP5/PnYlLYIi0ymfhmAfP4QcrlVxvdk\nPpwpKqwPTVXfk8LQPyrsFKO3LHdE2GsyGaSMjDjT6Kj47qMmqv6pZwkQtQPCFTNGEdNgZ2usZRZQ\nvKnRukARJsM1avv1aHWfXfa0Jw50sm/a8fgj2PKf/rldu481zUTtAEeEtCJsWhUyJvdFKdqMAo+b\nRV0rwjvq69DL0bpm8+sAgPGQ6jAxxr4L4Ouc868Z3jsC4BKEb8+XOOdP+uznMQCPAcD4+PiWp556\nClNTUxgeHsZzzy3E449vxNxcMMeKTMbG0FAJg4NlDA2VMDBQxvCweB0aKmFoqIzBwVJ1XryWMDxc\nrnyuBM4nMW9eNM4P8rx7pV1qu31t2zYwM5PC9HQa09NpTE2lcO1aGhculFAuD1XXT0+LbWZmUpia\nSlc/c+2aeJ2dDfZ/L5228eijp/Hv//2rNe899NBDOzo9pCiM/smvb8JsndoTreBh5jFV5BjOtP+m\n2/Q3YqoEDJseCzb896Txvz9TJYbhNIf3mEymLfpcI6bdONQRMVNzJQz3pWvP08dwpeb6+V4j83vO\nOXvR4O+gAbE2XUJHfmcmpoocw9k2OlRp5Uq6qW8CnL8rByautOvwPVnUz3F+tvXfTaNdyuIBjnMz\nSrsh3OMG3cOSQeBcgNQL0/+/Vp+fNHK9jZckwHXy2mLJIHBWO+9Qeow6F6Xmu27s4y0R1u/biw3L\nR2vWBe2f6kbsGGM/BrDU8NYnOeffrmzzSQAlAH/nsZv7OOcTjLElAH7EGDvIOf+ZacNKx/UkAGzd\nupXncjnk83nkcjksXiyGpelRAj1yIF+zWQtAa08wZdtRINvmXORpTU05Qxqnpty5XjL/Sw51VJ0w\nZa6YzB0rlUTUs1wWN/z6/+fLly9i8eIF1Vw06RApJ5mzp+bvDQw4uWxy/cCAk4PV1yc+m8k4pilq\nfh8gjiOffwa33voASiXneGWOm5rrZprke6oDaKHgdsJUz11HPe9UyjlWed7SIVM/Z3UaGnLnOcrc\nx3rumVH9zkS7dwTevlx2m9nor868hdtvX4FcLkCNixboZP/k1zcBaFuenVck6NmJWdy/vMEx2k24\nL5qiSc+e47h/semPGmuwDebZhnHrdBbPngfuX+TxB9UQrfNzyvSy1K+J4FX42eFLeGBV7YO+mu9I\nuQa15+Z3jczX47nLGdw3r3Z4SVMRugYjms+dB+5fGm4JhqA8OzGLB65rzwOvdg/DjLpvApy/K7/X\nxoidV0TosU1FPLnP/P+oof03OBTzQ7eU8KU97lvbZqJ2zfCR28r4wsv1H0SYIlFeBcqD1kz7wIYC\nvnzA/f/U67sxXdNWrtFHbivjiwHOuxGCROtM37WKX9H3VnlsU7HmeofJjt/INf3ZusKOc/4Wv/cZ\nY78F4B0A3sw9wn+c84nK61nG2Lcgxn8ZhZ0fmzYBf/EXjX4qGqQY8xsKqg8Z1W+QL158I+bmxI10\now+dMhm3YYoqqqRwSaXcBiLyuK9eTcO2xU28FERSHKkiK4jVfeM80NKnLcstKKUo0w1jpKiU6Oct\nRaA8ZymO5bk3ysCAeNgg8wX1hxKTk2vxs5/5u77K9VGWWFBz+eJAnPqnbqXhoYIBh2TqbbRMEDGh\nFc/2yrULbIgCf1EH+Jik1CkREWRdwzQouESb3Wti0k56oW+KuztgHGl0eGGzBbEb/W6aHbbay8S1\nWHmrrpiPQCT8Psg5NwagGWNDACzO+dXK/MMA/rSVdtuJjEhIkbV//ygKBe8cPV2gqeUIgtzb9PXV\n3ugvWQKsXQtMTV3ETTctqwqCoSHH7VGdZLRIjZq18sA0n38pUPSoXHYig2rNPBk5lEJodtYdOZOm\nKdKFU/5JYww4cuQ1rF+/Dul0sGiZnJdTpoUHhEHPW5ru6C6ZumOm/B3pzplyev114LXXZKmL5fjm\nN4Md5/Cwd/6bqcyEqYC4iGg3f62SQDf0T4l1BmxC3LWDIGKolWLYLX0/nb5GCTVL6WSx8k7R6b6p\nl/PsgPiIlmZzxhoVEM0K7qRfp26hlfw6oHVXzL8C0AcxRAAAfsE5/zBjbDmAL3POHwUwDuBblffT\nAP6ecx5qDyNdB+tNeu03XZRJu3o35mFqg4POTbMsQ7BunftGWs57ratX5DuffwW53LLQrlPYpFKO\nuAyLfP4kcrl14e2wDTDmCMz588PZZz7/DB54IOf6jaoPCeRDA/l7VeevXBGFw9V1QSK8fX3AwMC9\nWLCgVgyaTFH8pna6lbZAR/unTpQ9iIqmDD46KVxaFC3NiIdEie6Eirp2EaEbpiQW9069RFxES7NI\nseYn8Lohgtrroi4MWnXFNN6BV4YPPFqZPwxgcyvt6Hz0o8DTTztCLOjQuEymNmqxcKEoPaCuU4XX\n0aO7cd99t7oE2siIGNJHEGGSSgmh2KpYtG0ROdSFoPoAQ773yivnMDy8orp+YsL9ACRIDT557HKY\n6dgYsGdP9EIvqv6JUOiEuGtUtGjDMSVSqNUTeKEKukYKk7faRoN0Qy28uEJ9UzREKe7CEiwmgdeI\noKuXs9gN1whob35d3EmkPFm7FnjTm5wbSTVvSc9hUgWbX3TMi3z+Iu6/P/xzaDecixwxaZpSKDh5\nY3KSQyF1A5VDh4awcKGTfycn1UxFDpWUr5lMNA+FOXebwpgmOexT1szT76GkgcvRo4N45RUnB089\nNzVXL+4Pvy3LMW2pRz7/qq/BSankNkuRD1PUCLf6evWq+EzUoo6IEe0Sd236j+gr3HzcLwE0f54J\nu0ZE8gh7OGanokNh17KLQrgEESx2mTckRtp5/eN6jeJI2Hl2rQ7DBBIq7H73d6M+gtaQxiryhlh3\nu5Svu3evQj7v5G+peVyqA6bqgqkamzTv8ntnU5+yrFqxpxqW6MYlllVrYDI1tRUDA44Qk0Ym8lWK\nOFXIhcdd9TeBOC895093BtWdMuWr6papumYePz6AU6ec9XGJCKfTohbjvHlRH0kyCHM4ZtyG+rVU\nby3syFQAwRKniFOgaxemuGtR0MXp2gHh5tnFYBgmETGdFC5JFSx0jZJLTG4f4w3njgHGlSvu6IQe\nrdAn9T3VTCOY6FoLQIgGmcsmRYM0UlmyxC0spOBQHSFlpCmbrRVZqsCSImvPnr3YtOkN4NxtciJd\nMlW3TFVkyaigGh1Uyyuo0TM5yesLiPYvXJjBkiXDVcdO9VhVwagKSN3xUxWTMsKmOoDqJRbktGfP\nPtx88yaXoFSFpOqOKSdVVEszlQsXgOPHHfEtzVT8v/O7XUv9/bVRaFM02i9SrU5ROmkS3UPLxbRb\nFXiWBbAQnlR7DMdseZ+tEsb1IQiiLlJMtEu8dINYabe464ZrFEe6UthJZ0s5eQksv3nHwOJ+zMwE\nj35JwaXebC9bBtx4Y+1Nujqpzpfy9aWXnsHb3vZAx/9WL1hwHhGV7kM+vy+yuoGLF59r23lzLsSf\nFHlykr+7F17Yj1WrNrrcNNXfryh/ARw75l4X9P5vYMAs/q5d24i1a+sPadZ/p93uqEm0GbVTq/cj\n7kWxEuH1iVu0jgiPpLpjhj0cU6Ud4qWbBEs7BHC7r09S8+vCGIYJJFzYffSjwMsv194Iz8wE38fg\nYO1N7Pg4qje7k5OnsWHDqkARkqGhcCMjAwPlnryn6UYYc0oyLFpU+/7o6Fnkchsb2ifn4rdeL1Ls\n9d65c8Drrw/j1VeddUEfYGQytWJveBj4xjeEIVEvE2t3zBCG+4kb/yaKOXrRhk4ukDgJM2oX4Jo2\nHe2UUcoO1EvqdlFHwzAJE6rQaEnAMNZVok4lDIHXrdcmbiRa2Nm2EGaLFzvCymv4mnxPvxmtJ8Ty\n+UPI5VZ15oQIogEYc/L4xseb20c+/0I1QqoLRT3ardbj09fJSGMrdQSJ5MC6xR0nDHEXg3p9YRCa\nqKOnkbEmqVG7TtGoyHOLle7oC/xo7foQXoQVrQMSLuy++MWoj6B92DYwM2Ph/Hl/sxRZBFy+ykLg\nMh/MyxFTdYpUnTE5By5ceENN1EXm4vlN0hhFX6cu66Ypaq4bABw7tgZPP+24V8rj0nP99GPXc/fk\n59Tz0pFty+O8cGEjxsedfD7dAVTm86n5i2pOo26kok6qqUpcjFF0whCKhCDWUTvCTTvy7TxoOUeR\nIGJAFPXS2jkc0wsSJf5Urw+zY3OtohiGGbYzZqvE9BYzGch6YTJaobtbykiGOunul7rbpZyfnQWA\nNzV9bNI4RDVN0Y1FTKKLMWBqqs9VG1AKI1Vk6WJLF1zyfV04mkxTOHfatu0V1SiqelyqmYpcVtfp\n76kCUt6z6Q6c8lUe09WrQzhzxm30opvESJHcCpmMEHnSEGdwECiXb8fSpc46mWepLsvJtC5ubppE\n9xNXkdJU5KlZcUfRuo7RqjMmDcMkCKIX6JnbwEKhVnjpk2n9kSOb0N9vfn96urFjkAYW6g370BCw\nYkWtNf7gIHDmzCG84Q1rq9EeOalRITVaJCNJfX2t5frl8zsiMzDJ55+JsO0XA7Vt24559g28AAAg\nAElEQVRLphoxlfNqVFXOy4irl5A/ebKMa9dE3pv+MKCRe8e+vlrB5zdNTCzHyZNucajPDwxQXbpO\n09ZSByHa6sdN3LUkUBoRdy1cv666Zjo0DDMRJHU4ZhRRu26i269dr5umSLpC2D35JPAv/+IdOZua\naizKIm+Oh4YAyxrEkiVieeFCt3ulnrunRlrke3Ld4GDjf/Py+RPI5dY29iGi7ViW+I00U/Dei3x+\nt1FUSjdN+XtWo71qRNiU76bOnz/vzpm7dk22cFPdY2PMO0I4NATMnw98+cvhXYtuoVeGY8ZNqLRE\nEHHXJVE6IBmRujCgaB2RBBotUk4QJrpC2B06BOza5dx8jo8Da9bUiiz1hlRdpwo0fThb0CgOQbQD\n1U1z8eLw9iuHEf/wh9twyy33eopDfeiwuu7SJeDkSRr+STgCIUqBF5pI6YBwi4MY7hVRR5ihqB3R\nTSRVEIcdrQO6RNh96lNi6nVs222YohbXNpmn6Dlwctq5cz6KxfrW9zIvLugkP2N6lezfP4r+fncO\nXKNTPfT8Oznt2zdaNTfxMlBRi71ns8kt/G1Z4qHGggUF3Hhj1EfTvcQ2ahficEyVqARLEkUKXavO\nQNE6giB6ia4QdnHEtp2C1HpelT7pOVgyL+vYsQ347GcdB0x9knldcmrV1MNhc1g7aoI7EtW2ZTl5\njXJS3TH7+sy5kbpT5smTy3HsmJNfqU5q3mWcXTUJAui8YEmyUOmqa0X5dYmDonZEN0DROjc9fYtY\nLrtzl0zTSy8tw0svmd9TPyvFmyrgGkUddjcwAAAjmD/fEQVjY8CSJW7xoIoKGUVSo0rSGVNGnFRH\nTHVS3SR37dqJO+64vXpMJkxRMrW0gOl9v1fZzu7du7F5862ututFAlXXSzU6WO+49VIKO3fuxqZN\nt1Yjmmp0U3XFlPOypIQsL6EaqKglKKamhCmKyVClXJZHVj/XTZLNOmJPN+IxTTLH07T++PFBnDjh\nrMtmySglbGIbtWsjnRqamWRRJ+mEuOuG69QMFK3rXkjcEUByRV076Sphd/Ik8LnPuUWWn3BTLf29\nWV+dkzfUMk9P3iwvWuS2rldvpPXIi7S5V9fLqE1fn/umWi0e3UlsexL33dfxZgEAAwMXEVVKYybT\n+baLRSHyfvzj53D77ffVOGbOzLhf9YcI6jqZ86av9+cu11I6HUwsDg0Bb3878Ja3tO3SEO2mTcMx\nVdol8LpNqCT+OlG0LrEkNWpHEEl+CN2uaB3QZcLuwgXgv/93czRjyRJzfTCvCIec37VrG9761nup\nRhjRFmREdcGCIlavDn//otC990OOF17Yj+uv3+j58EM6aF6+DExMuN9buJCEXVB6MWqnEpZwYeks\nGOsSB04DYV6nXoeidd1Pt0XtKPpEhEFXSZXNm8VNbJicOlXA2Fi4+ySITmFZ7ocbOqOjZ5HLbez8\ngRHxoANROxVdcAQRML0oUmrP2X94SaTXiKJ1iSfJUbtuE3ftpJuuVZJFcDujdUCXCbukUSo5+VYy\n/0qdXnhhPiYnvc1SZG6XzPNS87/kfKlU3xVTdcYsl4Fr1+5GX585Z64R9DC5X9icMbH/ubl7qvXh\n9PaabV/Px9PdMFMp8TozswVjY44jpnxVcxTVnEU9r1FOqpGKyVBFLS4vX6emUpiboxy3bqbXo3Ym\nelG0NQNjjK5VA1C0rrfoJsFC1CfJoq4TkLAzUCo5eU4TE/3Ys8ftYunncBnE7VIu13exrO9OaTJM\nyWaF8JCvqijp6xPRG908RRU4585dwdKlA1URZCpbUI9GRJn63pkzl7Bs2bLqciPi0LRPk7mL+ipF\nbbkMnD07h3nzRqpit1QSAll+V2r5CNVARTVSaVR8OjwAQFx/1UBH5mDKeTUnM8ik5nOq8yQgiSod\njtoRXQRF67qGJEftABJ3vULSRV27o3VAFwu7HTuAn/3MLcTU/CDdjELdruAaHXRPoPayWfeNtzRK\nGRgQBdPV99RJtb9XIzj9/cD+/S/hvvvuqEZ89ChQJtOem/N8/gByufHwdxyo7VeQyy2rv2Fb2t7b\nsllNqVQbWVUdMmdm3PMyGrt792tYsWJdjWumOj89LfJI1YcF09Pi842SSonfYybzRsyb5xZ+qhGQ\nLgpXrwbe856WLlFPQ1E7gmgvFK3rXZJ809+pY0+yAE7y99tJulbY/eQnwO//vpiXTn+mCMbCheao\nhry5PXr0ALZu3VAVa/q2MnrSjkLVlnUFt98e/n6J9iEjpENDjX0unz+JXG5dU21y7tRMlA8sTNFl\nU03FV1+9gHnzlrvWnTpVu710kH3wQRJ2XQlF7YhGoWhd15H0qB1AI1G6lW4QdZ2I1gFdLOw+8hHg\ngx+UUYnm95PPv45cbkN4B0YQIaPWP2yUfP6XyOWW193OtoMOHybqEduoHYk7IigxFXUUrSOA5EWl\nOi1a6Pp0Ny0JO8bYnwD4IIBzlVX/F+f8acN2jwD4LIAUgC9zzv+slXaDMDjY7hY6i227zVJU0xTV\nLEU1UJFGKbp5iswfMxmolMvAoUPX4dlnHUMVNS/NVHRcLziu0mjO2YkTa/D97/tv45V3Z8oFNJml\nqOvUHMPDh1fgwAEn6ibNU9RJNVCRk57nKE1V5JDZdkRzO41liTIgSSLO/RNBEL1LnPumbojaAY4Y\niLuAIdHiTTddm05F64BwInZ/yTn/C683GWMpAJ8H8FYAJwG8yBj7Dud8fwhtdxxZUNpkjiLzo+Q6\nNV/Ky/lSXSdzr+Q0PX0fymWxvrORkjU1a0wmKrqgkvOmzwbFtlf4Pgz2MmXxEp1SkAbjxuAH2gCW\nVeuQqTtlXrt2K5Yv93bOVOdNuZqqqYpcpxe871Fi2T9R1I5ILBStC4tY9k3dRtKiU50i7tclSaLO\nsvyPtZOiDujMUMy7ALzGOT8MAIyxpwC8C0DHOqcjR4AXX6w1nTCJM93V8uLFu8G5s65cbu4YUim3\nMYq88ZbrRkaAxYvdN/8XLpzFmjUrXBEg06uMFMnokRpNSqUce3510l0xZdTKsoBnn/0pHnroQVd5\ngE6Rzz/TsoGJCSn4ZFTS5Ir5s589h3vuuc8V1ZTzaukI06SWnJARVTW6ajJTkaJ+bg64di2FY8dq\nBf/MjNh/M8ghmrroU01RpqY24G//tvY9NX901Srg/vvD/T5iRGT9E4k7InGQqOskkfVN9aJ2lsVg\n2/EVBTpxjN7FQbjQdelOGG/en10OJ/htAFcAbAfwe5zzS9o27wHwCOf8A5Xlfwfgbs75xzz2+RiA\nxwBgfHx8y1NPPYWpqSkMtzAO7HvfW4bPfGZ9zfpMxkY2a6Ovr4z+fvdrX5+N/v4yLKuAoSEL/f3l\nyrZifV+fs50zOcvZrDpvI51u/Dq3et7NElW71La57XIZKBQsFAopzM1ZKBQszM1ZmJsTy7OzznvO\nlNK2SdW8NzubqgjLjGufOnfeeRGf/vTu0M71oYce2sE53xraDj0Iu39qR9+E2Snv97i/uJoqcgxn\novkjSG33Rruxa5t5CMv+cPrtbuqbgNb/ph2YuNL0Zxf1c5yf7fzvpl67Ldzy1mXxAMe5mfrn3I6H\n5a1e71auS9Dzrkej1yWq31gjbW9YPhpam0H7p7oRO8bYjwEsNbz1SQBfBPA4AF55/QyA9+u7MHzW\n8yfEOX8SwJMAsHXrVp7L5ZDP51uK4txyC/D+99dGLtJpC4AFv8vQatutEFXbvXjOvdq23q5ti0ih\nGrXOZhdg9erOH1sQOtk/taNvAuAZtePFgnG95NmJWdy/vL+ltn3xido9e6aA+5dGUzC7F9uOxTlH\nEK3Tf+MsU3sN4hqti7pvAlr/u/J7PlG7ehG7xzYV8eS+FpzrmqSRdsOOVH3olhK+tMf7frKd0aiw\nrncz16TeefvRyjWJ6jemt+03FHPHb+Q6dEQOdb8JzvlbguyIMfY3AL5neOskgFXK8koAE4GOLiQW\nLhRTr6MOP/QzTzl7tg/HjjnmKSYTFTV3zZTfJterr/qxmHjllRFPkw71aY5Xnp9eVN1knqIOO1UN\nVKanU5iedkxTUqney1GzLGc4ZhLohv6JhmQSsScGQzBNoi7OdEPf1C1GKl50aihikoYX0jUJj07n\n1kladcVcxjk/XVl8N4C9hs1eBHAjY2w1gFMA3gfgN1ppN84Ui97mKOqkGqWY8q8KBeDw4Rvxta+5\nHTB1N0zdCVOdVCdMOQXjje28RHXYEmHbD9SssSzHDdPLHVPPcTRNulOmnJdGKkePLsOxY7WmKnJZ\nzc+Uy9ls7wnPRqD+KQRI3BExJq7RunokqW/qdnEHuEVGWIIm6cKFrklrRCXqgNbNUz7NGLsNYnjA\nUQAfAgDG2HIIa95HOeclxtjHAPxPCMve/8E539diu01j28ALL7idKuWQM9N0+PB6/M3fmN0tTW6X\nzZqrqGSz4uadscUYGnKbpMj5TEYYrsj5bNZsx6+ap6j2/SbzFBnJevXVg9i48WYw5qwzRcBMETN1\nnVyvvqro6zgH9uzZg1tuuaVmWz0SaCq5YCrLoEcY1cikjETKiOUvf/kabrhhXXVZmqWoRip+Jiqq\necrUlFuEm0xU3FHL2hzQIJhcM9V19aYTJ5bj6FG3m+bgILBhAzB/flOHFCcS0z/FNmoHkLjrZWIQ\nqfMiqaKuQmL6pl7DS3z4iRv5Gca6U7yYzinI9SCioSVhxzn/dx7rJwA8qiw/DaCmRksUlMvAGwME\npOTNcSq1AGNj7pvh+fO9b6R110t1G3VZjcyoVvhqFCaf3xZR3tUZ5HI3d7xdABgevoCI0tyQz59E\nLreuI21xLgSiFHk/+ck23HHHva4I7syM2z3TFAXW59Xp6lXg7FnzAwvnPv0m4/F997vAO97RkUvR\nNpLWP5G4I2JFjEVd0kla32SK2iXNGbNVSKy4Ua9HtwraIJjy66KM1gGdKXcQKzIZ4Ac/8K8JJqJl\nYvt8/ueRGWoQ3QtjTlR1eBhYtKiANbXlA9sC5049xh//eBtuv/3eGuF3++2dORbCG5bJ1jVQ6Sjy\nRp8EXvcTc1GX8GhdIumFIZkE0SpRizqgB4UdADwS/XUniMhgzBnau3Bh5wQlUZ9YR+0kMb/pJ1og\npt+tapxCoo4gCMKbnhR2UcO5OedKL2y9Y8c8zMy487TUXC4vwxTVOEXOq06Y+quad1YuA5cu3Y6R\nkVpXTD1fzZTT1qg7ps7s7N3o1xzc9Tw+ie6Aqef+BXXElK+XL9+CJUvceYh6UXeZr6i+miY199Fk\noqIbqly8mMWlS87Q3JjeXxEdIBHijug+EtDpkKiLForaEYQ3cYjWASTsUCgAp0+7c5TU3KUdO5bg\n0KH6+U2qy6Xufqm6Xc7OijaDcVtD56ILD3VZNUwxGaiotv+ZjI2hIcfuXzVQMQknv0niZ6KicubM\nJJYuHagu6wYp6novYakLT1WQlkrusg+FgiNoL1/OYm7OLXz1eVUwS9EcDve6ltJpd/6lmqMp59Wc\nTvU9k4OmPi+HHR89OojDh0U5kLGxsM6F6Ako7657SICoI+KBKu56Lc+OIFTU/Lq4iDqAhB127QLu\nustvi401ayzLfAOt3nDPm+e4W8qbc2ma4jep0Zx9+3binntuRyYjlnVrfXU5nQ7vb3M+vyvCQt0H\nkcuZarp2ou0dDZ+3NEHxcshUl/WyFWqUds+eX+L6628ylr7QzVTk/Pnz7gcI8kGD3G8wxI//D/8Q\n+C//paFTJ9pIamMOpV0/jPow6kN5d8kmIYKOFwtIb3446sMgKlDkjiAc4iTqABJ2WLMG+MpXvKMa\nu3c/jwcfvNu1Lt2hq5ZOT+LuuzvTFtEcqglKK+TzE8jlzA6VzVAuuwWfHomW8zt27MOaNZuwaVNo\nTRMhkd78cDLEHUDRuySSEFEHgEQdQRCxJG6iDiBhh4ULgfe/3/v9S5dmcN11nTseggiDVAoYGhKT\nH6Oj5yIrL0HUJ3HiDiCBF3cSJOgAEnVxhaJ2BBFPel7YJQFZWFsO6fMzTFGNU/RJN0yR86pxim0D\nBw+uwMsvuwt4q3lqJvMUPddNHrfJRMWPEyfW4Pvfd5ZNuXleZikmwxTdPEU3TlGnV14Zx8mTtXmI\nqoGKPslonWqoog+XzWTq5xYShBeJEncACby4kjBBBwAYGI36CAgfpLijPDuiF4ljtA4gYWekXFbz\nmLI4fNhskKIum3KipFGK7n7plWulTzMz98O2xXwQURQeNza0tZeRinzPZKLihW2vqN5/mNw0vUxS\nwrk+G8LYiREp+LxcMufm7sCiRe739OL1XpPJQKXecjpNYjNJJE7cASTw4kISBR2RGHY8/ghu/+QP\noj4MgugoG5bH96ETCTsN29Zz6O712tQXy3K7GarmKOr82Jh7nTRE6esDzpw5jbVrV7kiQKZokG67\nr0aapDumyRnTyxVz27Zn8aY33V/jimlyxgxbHOTzz7Rk3KKKvXK5dl6NQqqTbQPPPfcL3HnnPTWO\nmHK5WHQ7ZKpRUr9JRlnn5tzGKur606eL6OsT81evej8QmJ0Nx4nz6aeBt7+99f0QRF1I4EVDwgVd\nevPDQD4f9WEQAdj5xNtJ3BE9w84n3o58jPsmEnYalgU8/rgjro4ffwWbN6/3jIyY7Oj7+sIxWMnn\nDyGXW9X6jhpkbKyE+fM73mwoqPcyjX4HR47M4sbGgpWhkc/vCSxobbtW7JkiyKqTpr7N+vXtPR8i\nfBIZtVNR/3OSyGsPCRdzEsqrSx4k7oheYOcT8X8iTsLOwH/8j858Pn8auRzdBRPxwbKcOnREb5F4\ncSfRBQgJvebpEjEnIVGXXEjcEd1MEkQdQMKu55DDENVhhqpBim0D585lceKEe51e6NtUCFwvFN6M\nicq+faPo63OvM+XsmSa9eLrfpA4/la8zMynMzLiHp1IeGhE3ukbcqcRR6MVRMMXxmEKERB1BEERr\nkLBrAs5FDpQ65M1UdFpf1otUmyY1B+vkyQ34q7/yz9+q54SpO2IGo7m8wnC4I8K2H6hZo+Yj6i6Z\nMp9RnTflPJpyJKVBipyfmLgB27aZjVXUHEw9V1N9Tx0a3OX3fz1PevPDwMR3oj6M9lHvB+xXN6/d\nP/5W92867iD77PL/1CTqugOK2hHdSFKidQAJu0Bs2wa8+91uIRcm0mhFFwHl8gjGxmrNUgYGgNHR\nWrt9VVikUm7jFN0wRZ3XI1evvvoKNm5c74puyUiYOq9HyLwiaUAwd0zOgV27dmHz5s2udXrkz2sy\nRRD1Ug1qFFIv9fDLXx7CDTesdZmq6GUiVLEszVS8yk7MzQFTU7UlKkxCvlS6IdTfVDrtiL0PfQh4\n4olQd0/EgYFRAIWojyI6kip0knrcbYREXXex84m344t/38UPnoieIkmiDiBhF4jFi4F/82+C2c6b\noiuZjDvSoi5L8WUin3+hJYfIZokyr7Cv71JkBbPz+RPI5dZG0va//mse996bqwo96aDpVR7DFBnW\ny23ISdHJRJfRlcMyiZ6CRF13smH5KLBvJurDIIiWSJqoA0jYBeLGG4EvfCHqoyC6GctynFYJohFI\n3BFJhURdd0PDMokkk0RRBwA0JoQgCCLh0A0ykTToN9sbJPXmmOhtkvy7pYhdG7Ht2pwqL7MU9VXO\n7949jiNHzEWwg5qmqO6XuhumyRWzXAYmJ+/A0FCtI2YQd0w/Z0yJnytmsXgvsln3uiCOmCY3TD93\nTLXoupy/cmUzFi0y5yGqBd51ExXdSEU3T/Ga1HzK/ftHMTLiNk8xTV7DdgmCIndEUiBR11tQ5I5I\nEkkWdQAJu5Z405uAixfNjpdzc424UHqxoe4WuqiQpinqsj6Z1qfTqlFKsSpwVJGklgBQDVP8jFN0\nAxWJVxmBU6fOYfnyFdXloMYpqmmKapwi18t51SxFrpeitli0cPWqtxD2Esyq0PYTrf4EcwO1rFpH\nTDWv88kngTvvbPYYiKRD4o6IOyTqehMSd0QSSLqoA0jYtcSKFcJYRbelN1nV6/b20jjFZIcvl196\n6Xncf//dLufLbNYRc+2qs5bP74nEtEW0/SpyuRX1N2xL2ztbPm8ZpdWjrOqyKUK7fftu3HzzrZ6u\nmfpDA3UbuTw7S0XLCRJ3RHwhUdfbyJtmEnhE3OgGQSdpSdgxxr4OQNonzgNwmXN+m2G7owCuAigD\nKHHOt7bSblz4h39o7/7Pnp3BDTe0tw0iXGTpCr3Iej1SqYuRuYF2K73cP5G4I+IGiTqHXu6bAIre\nEfGim0Qd0KKw45y/V84zxj4DYNJn84c45+dbaY8gCCIovd4/kbgj4gKJOje93jcBJO6IeNBtog4I\naSgmY4wB+LcAfiWM/fUqnLuH7E1OZnD6tHtdELMUU1Ft3TDFz0Dl0KHrkc+HY5zSqHnK6dPr8bWv\nOcumAudeRdFNOX9+pin68pEjK7FnT/28RJN5ij7pRePV4bTqMtUqbj+93D/JG2oSeERUkKjzppf7\nJoDEHREt3SjqgPBy7B4A8Drn/FWP9zmAHzLGOIAvcc6fDKndWPLe9wKTk405YErR5ua+KA4fwGoA\njjjSTVRMBiphmafMzS2oDmPUjVPUedUsxcs8RReg0jDFm3VNX7FmsSxZpP7+aoF7Ne9SfVWnT38a\n2Lix44ebVHq+f6LoHdFpSNAFouf7JhJ3RBR0q6gDAMbr2Pgxxn4MYKnhrU9yzr9d2eaLAF7jnH/G\nYx/LOecTjLElAH4E4P/gnP/MY9vHADwGAOPj41ueeuopTE1NYXh4OPBJhUkzbX/iE7ehULCQydhI\npTgyGRvpNFeWOdJp93w6zZFOc6RSznvl8iyGhrJIpezKevG+Om9ZvOY9uU6+CmHGq5PXMmNifmrq\nKkZHh9tizFKPdn/XjghkFaHHKmKQ4erVaxgYGEK5zGDbziQimay6Xn0VEU+GctlSlsV8qcSqr2Le\ncq0Tr2LdzEwJQF91fbFo1cyXShaKRfH6H/7DQaxdO93y9Yji/9ZDDz20I6xckU72T93QN2HmSjht\nFzmGMxF0ED3aduLOeWA0nLY7/P+rm/omIJr+XdJo2wcmwumbFvVznJ+N5v8KtZ2Mdjcsb71/ivO9\nU11hV3cHjKUBnAKwhXN+MsD2fwJginP+F/W23bp1K9++fTvy+XyELo2913YvnnOvth1Fu4yx0G6e\nArTVlv4pyX1TGJG7Zydmcf/y/pb3Q23Hu91m2g4zUtfp/1/d1DcByfyb1mr07rFNRTy5L9PSPqjt\nZLTdaLthRunifO8URobPWwAc9OqYGGNDjLEROQ/gYQB7Q2iXIAiiHtQ/aaQ3P0zD5Ii2QL+rhqC+\nyUA3D5EjoqOXfldh5Ni9D4DL+J8xthzAlznnjwIYB/AtkSOMNIC/55z/cwjtEhp6AW6TaUqp5DZK\n0V9tG3jllWEMDdWapZiWTblu8lj8DFS82Lt3ES5fdpb1/Dy/PD41B1DPBzQZp+gGKidPDuDQIcck\nRb7nZZzSrjqCRKhQ/+QB5d0RYUGCrimob/KA8u6IMOklUQeEIOw4579tWDcB4NHK/GEAm1ttpxuY\nnQU+/nF34WqvItbFInD58hb09bndLr2cMaVoC4coS+W8IcK27274E6rga8QhU5+fnNyEZcvcheo/\n/GHgjjvacJo9BPVP/pC4I1qFRF1zUN/kDxUzJ1ql1wSdJCxXTCIg3/622+7eZIU/MACMjgKZzBzG\nx0cqronubeSyFBZy3hRdMtn2q9EqfXnfvj247bZbasoF+EXDvFww/ZwxTWzfvh1btwphqUf66pVV\nUCOH0gHTFGVU31PLPezdux/r1290RTH1yKdpXhfXUoCXy24hrgv4uTlgakosX748gPPn3S6p73pX\nG36ABKFBJRGIZiBBR3QCit4RzdCrog4gYddR+vuBM2eCb5/P740k8XnevAuIKN8aly9P4bbbomk7\nnz+LXC6aGgL5/PbIktwJAqDoHREcEnVEJ6HoHRGUXhZ0EiqPTBAEQQAgYxXCH/p9EFFCN+2EH/T7\nEFDEjggVk2GKad6LQoGhUHCv04d2qvNkXkIQ4UPRO0KHBB0RByh6R+iQoHNDwi5mfOpTwPS0yLE6\ncmQNvv1ts1mKntfllwumTmrumOqEqc7Pzd2LVMrthKnmqZleWyyHqPBgw5/wc8fU8wT9XDGLxbsx\nOFjriumVp6i7ZOrz9cxUfvM3gdWrw7puBBEulHtHAAAGRpHenIv6KAjCBeXeEQCJOhMk7GLGn/0Z\ncPmyuPm3rBXIZh0hYBINurhQzVT6+x1bflWYWJZ7vS5wTp8+h5UrV1SXpWBKpbzFk9cEmM1TvCJt\nhw4dxpo1a6rLfpE/k2mKVwkGk2mKKlrLZWBi4goWLx7wFMCqWJ6bqzVOUQW1NE9RnUxVMxXbBnI5\nEnZE/CGB17ukNz8M5PNRHwZBGKHoXe+y84m3I099kxESdjHj/HkhoAAgn38mEkONfP5V5HIrOt6u\naPs4crk19TdsS9sHkMuNd6Qt26ZhpESyoOGZvQMNuySSBAm83oEidPUhYRczpKgjuhuLbIuIBFK9\n4Z/4TrQHQrQFEnREkqlGcfbNRH0oRMiQoAsOCTuCIAiiMSp5VxTB6w5I0BHdBOXfdQ8k6BqHhF0C\nuXIF+MY3vI1TvCa9ILeXecrp0xvw5JO1hb31eVMumykPTi6rr15cvrwZ8+aJea+8PL+cPpNpimle\nzS2U05kzN+Gb3zTnJJpMVLwMVO67D9iwIbzvmyDiCuXfJRsSdES3QsMzkw0JuuYhYZdAzp8HPvjB\nYNv6iRTdNEWaoxQKoxgaqjVN8TJMMRmoAOZl9dWEbbOqUATMr0EmuQ9pmKLO66Ypct3s7CJYllkA\nyykIn/88CTuityCBlyxI0BG9gioQSOTFHxJ0rUPCLoFcdx1w/LjZDVMXcc0YdOTzz0di2iLafjnC\ntrfVbVsXenqktFQCxsY6c7wEETdI4MUbEnREL0NRvPhCgi48SNglkHQaWLUq6r++k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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# aeropython: preserve\n",
"#Se pinta\n",
"fig, ax = plt.subplots(1,3)\n",
"#lineas de corriente\n",
"fig.set_size_inches(15,15)\n",
"ax[0].contour(XX, YY, psi, np.linspace(-10,10,50), colors = ['blue', 'blue'])\n",
"ax[0].grid()\n",
"ax[0].set_aspect(1)\n",
"p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n",
"ax[0].add_patch(p)\n",
"#Campo de velocidades\n",
"ax[1].contourf(XX, YY, np.abs(dfdt), 200, cmap=cmap)\n",
"p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n",
"ax[1].set_title('campo de velocidades')\n",
"ax[1].add_patch(p)\n",
"ax[1].set_aspect(1)\n",
"ax[1].grid()\n",
"#campo de presiones\n",
"ax[2].contourf(XX, YY, cp, 200, cmap=cmap)\n",
"p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n",
"ax[2].set_title('coeficiente de presión')\n",
"ax[2].add_patch(p)\n",
"ax[2].set_aspect(1)\n",
"ax[2].grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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oTJ+kJJ27OK6d6XMO2/IgSFl07sJen5L8i/l6yF+cJvQZQojzyvS/EdH/IaJB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W6UyswYLauzs3YnTRVBQI6aQ0NaXR8eJuXu5z+f+rrNR/MAHa1LdairVEdH0Fau0pmOkArohBcg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\nahXBT6371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QQU3IVRI5YAgG1z5KsYqAAwzKC0SldartmXL0r/VG6Y1cKEu1pMUUyoM9W6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\nEAQh4/x/0dcVYwSv19IAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Se pinta\n",
"# aeropython: preserve\n",
"fig, ax = plt.subplots(1,3)\n",
"#lineas de corriente\n",
"fig.set_size_inches(15,15)\n",
"ax[0].contour(XX_tau, YY_tau, psi, np.linspace(-10,10,50), colors = ['blue', 'blue'])\n",
"ax[0].grid()\n",
"ax[0].set_aspect(1)\n",
"p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n",
"ax[0].add_patch(p)\n",
"#Campo de velocidades\n",
"ax[1].contourf(XX_tau, YY_tau, np.abs(dfdt), 200, cmap=cmap)\n",
"p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n",
"ax[1].set_title('campo de velocidades')\n",
"ax[1].add_patch(p)\n",
"ax[1].set_aspect(1)\n",
"ax[1].grid()\n",
"#campo de presiones\n",
"ax[2].contourf(XX_tau, YY_tau, cp, 200, cmap=cmap)\n",
"p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n",
"ax[2].set_title('coeficiente de presión')\n",
"ax[2].add_patch(p)\n",
"ax[2].set_aspect(1)\n",
"ax[2].grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"# aeropython: preserve\n",
"def cp_perfil_circunferencia(landa, delta, alfa, U=1, N_malla = 100):\n",
" N_perfil=N_malla\n",
" a=1\n",
" #punto del plano complejo\n",
" t0 = a * (-landa + delta * 1j)\n",
" #valor del radio de la circunferencia\n",
" R = a * np.sqrt((1 + landa)**2 + delta**2)\n",
"\n",
" #se barre un ángulo de 0 a 2 pi\n",
" theta = np.linspace(0, 2*np.pi, N_perfil)\n",
" #se crean las coordenadas del los puntos\n",
" #de la circunferencia\n",
" Xc = - a * landa + R * np.cos(theta)\n",
" Yc = a * delta + R * np.sin(theta)\n",
" \n",
" #se crean las coordenadas del los puntos\n",
" #del perfil\n",
" Puntos_perfil = transf_yukovski(a, Xc+Yc*1j)\n",
" Xp, Yp = np.real(Puntos_perfil) , np.imag(Puntos_perfil)\n",
" \n",
" #se crea la malla donde se va pintar la función de corriente\n",
"\n",
" # Dirección radial\n",
" N_R = N_malla//2 # Número de puntos en la dirección radial\n",
" R_min = R\n",
" R_max = 10\n",
"\n",
" # Dirección tangencial\n",
" N_T = N_malla # Número de puntos en la dirección tangencial\n",
"\n",
" R_ = np.linspace(R_min, R_max, N_R)\n",
" T_ = np.linspace(0, 2*np.pi, N_T)\n",
"\n",
" # El menos en la XX es para que el borde de ataque del perfil esté en la izquierda\n",
" XX = - (R_ * np.cos(T_).reshape((-1, 1)) - np.real(t0))\n",
" YY = R_ * np.sin(T_).reshape((-1, 1)) + np.imag(t0)\n",
" \n",
" tt = XX + YY * 1j\n",
" \n",
" alfa = np.deg2rad(alfa)\n",
" # Circulación que hay que añadir al cilindro para\n",
" # que se cumpla la hipótesis de Kutta en el perfil\n",
" T = 4 * np.pi * a * U * (delta + (1+landa) * alfa)\n",
" \n",
" #Velocidad conjugada\n",
" dfdt = U * ( 1 * np.exp(-alfa * 1j) - R**2 / (tt - t0)**2 * np.exp(alfa * 1j) )\n",
" dfdt = dfdt + 1j * T / (2*np.pi) * 1 / (tt - t0)\n",
" #coeficiente de presion\n",
" cp = 1 - np.abs(dfdt)**2 / U**2\n",
"\n",
" Puntos_plano_tau = transf_yukovski(a, tt)\n",
" XX_tau, YY_tau = np.real(Puntos_plano_tau) , np.imag(Puntos_plano_tau)\n",
" \n",
" #Se pinta\n",
" fig, ax = plt.subplots(1,2)\n",
" \n",
" #coeficiente de presión\n",
" fig.set_size_inches(15,15)\n",
" \n",
" ax[0].contourf(XX, YY, cp, 200, cmap=cmap)\n",
" ax[0].grid()\n",
" ax[0].set_aspect(1)\n",
" p = plt.Polygon(list(zip(Xc, Yc)), color=\"#cccccc\", zorder=10)\n",
" ax[0].add_patch(p)\n",
" ax[0].set_xlim(-5, 5)\n",
" ax[0].set_ylim(-3,3)\n",
" \n",
" ax[1].contourf(XX_tau, YY_tau, cp, 200, cmap=cmap)\n",
" ax[1].grid()\n",
" ax[1].set_aspect(1)\n",
" p = plt.Polygon(list(zip(Xp, Yp)), color=\"#cccccc\", zorder=10)\n",
" ax[1].add_patch(p)\n",
" ax[1].set_xlim(-5, 5)\n",
" ax[1].set_ylim(-3,3)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2a6d97c07c2342e297f30b09a179ab77",
"version_major": 2,
"version_minor": 0
},
"text/html": [
"Failed to display Jupyter Widget of type interactive
.
\n",
"\n",
" If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n",
" that the widgets JavaScript is still loading. If this message persists, it\n",
" likely means that the widgets JavaScript library is either not installed or\n",
" not enabled. See the Jupyter\n",
" Widgets Documentation for setup instructions.\n",
"
\n",
"\n",
" If you're reading this message in another frontend (for example, a static\n",
" rendering on GitHub or NBViewer ),\n",
" it may mean that your frontend doesn't currently support widgets.\n",
"
\n"
],
"text/plain": [
"interactive(children=(FloatSlider(value=0.5, description='landa', max=1.0), FloatSlider(value=0.5, description='delta', max=1.0), IntSlider(value=15, description='alfa', max=30), IntSlider(value=1, description='U', max=10), IntSlider(value=100, description='N_malla', max=200, min=10), Output()), _dom_classes=('widget-interact',))"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"interact(cp_perfil_circunferencia, landa=(0.,1), delta=(0.,1), alfa=(0, 30), U=(0,10), N_malla = (10,200))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"_En esta clase hemos reafirmado nuestros conocimientos de NumPy, matplotlib y Python, general (funciones, bucles, condicionales...) aplicándolos a un ejemplo muy aeronáutico_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Si te ha gustado esta clase:\n",
"\n",
"\n",
"\n",
"\n",
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### ¡Síguenos en Twitter!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"###### "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Curso AeroPython por Juan Luis Cano Rodriguez y Alejandro Sáez Mollejo se distribuye bajo una Licencia Creative Commons Atribución 4.0 Internacional ."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"_Las siguientes celdas contienen configuración del Notebook_\n",
"\n",
"_Para visualizar y utlizar los enlaces a Twitter el notebook debe ejecutarse como [seguro](http://ipython.org/ipython-doc/dev/notebook/security.html)_\n",
"\n",
" File > Trusted Notebook"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"/* This template is inspired in the one used by Lorena Barba\n",
"in the numerical-mooc repository: https://github.com/numerical-mooc/numerical-mooc\n",
"We thank her work and hope you also enjoy the look of the notobooks with this style */\n",
"\n",
" \n",
"\n",
"El estilo se ha aplicado =)\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Esta celda da el estilo al notebook\n",
"from IPython.core.display import HTML\n",
"css_file = '../styles/aeropython.css'\n",
"HTML(open(css_file, \"r\").read())"
]
}
],
"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": "3.5.4"
}
},
"nbformat": 4,
"nbformat_minor": 1
}