2023-07-22 18:00:22 +03:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"from scipy.optimize import fsolve\n",
"\n",
"\n",
"def dr(*x, p = 3):\n",
" display(np.round(x, p))"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"A_metal = 4.08\n",
"# a_metal = np.array(((1/np.sqrt(2), 1/np.sqrt(2), 0), (1/np.sqrt(2), 0, 1/np.sqrt(2)), (0, 1/np.sqrt(2), 1/np.sqrt(2))))\n",
"\n",
"# dr(a_metal)\n",
"\n",
"# a_metal *= A_metal\n",
"\n",
"# dr(a_metal)\n",
"\n",
"# with a_metal as a:\n",
"# V_metal = np.dot(a[0], np.cross(a[1], a[2]))\n",
"\n",
"# dr(V)\n",
"\n",
"# a_ = 2*np.pi/V * np.array((np.cross(a[1],a[2]), np.cross(a[0], a[2]), np.cross(a[0], a[1])))\n",
"\n",
"# dr(a_)\n",
"\n",
"# X = np.array((0, 0, 1)) * A\n",
"# L = np.array((0.5, 0.5, 0.5)) * A\n",
"# K = np.array((0.75, 0.75, 0)) * A\n",
"\n",
"# dr(X, L, K)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"TD = 165\n",
"Tpl = 1337\n",
"a = A_metal * 10**-10"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.16530181818181822 1.653018181818182e-07 2.04e-08\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T = np.logspace(1, np.log10(Tpl*1.2), 100)\n",
"\n",
"def h1(T):\n",
" return 50*a*Tpl/T\n",
"\n",
"def h2(T):\n",
" return h1(T)*(TD / T)**5\n",
"\n",
"def h(T):\n",
" if T > TD:\n",
" return h1(T)\n",
" \n",
" return h2(T)\n",
" \n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(T, list(map(h1, T)), color='#999', label=r'$\\lambda_1(T)$')\n",
"ax.plot(T, list(map(h2, T)), color='#555', label=r'$\\lambda_2(T)$')\n",
"ax.plot(T, list(map(h, T)), 'k', linestyle=(0,(3,2,1,2)), linewidth=3, label=r'$\\lambda(T)$')\n",
"\n",
"ax.set_ylim(10**-11, 10)\n",
"\n",
"ax.vlines((0.1*TD, TD, Tpl), *ax.get_ylim(), linestyles='--', colors='k')\n",
"ax.set_xlim(10, T[-1])\n",
"\n",
"ax.legend()\n",
"\n",
"\n",
"ax.set_xscale('log')\n",
"ax.set_yscale('log')\n",
"\n",
"ax.set_xticks((10, TD*0.1, 100, TD, 1000, Tpl))\n",
"ax.set_xticklabels(('$10^1$', r'$0.1 \\cdot T_D$', '$10^2$', '$T_D$', '$10^3$', '$T_{пл}$'))\n",
"\n",
"ax.set_xlabel(\"T, К\")\n",
"ax.set_ylabel(r\"$\\lambda, м$\")\n",
"\n",
"ax.grid(which=\"both\")\n",
"\n",
"fig.tight_layout()\n",
"\n",
"print(h(0.1*TD), h(TD), h(Tpl))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"vF 3194215.0097415945\n",
"h 9.990769230769232e-08\n",
"tf 3.1277697964287836e-14\n",
"ts 2.282156843862352e-15\n",
"td 2.461778939492735e-15\n",
"1.2773091315258907e-16\n",
"[9.999806768411713e-13, 4.92040452983814e-14, 6.34601653329549e-15]\n",
"[9.999980676505119e-14, 3.410230365430928e-14, 6.003151637409561e-15]\n",
"[9.999998067647152e-15, 8.380576583604518e-15, 3.8974325590432934e-15]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"h_pl = 6.6237 * 10**-34\n",
"n0 = 7.08 * 10**29\n",
"me = 9.1 * 10**-31\n",
"e = 1.6*10**-19\n",
"rho = 2.2*10**-8\n",
"\n",
"# td = 7*10**-14\n",
"\n",
"vF = h_pl*(3*(np.pi**2)*n0)**(1/3)/(2*np.pi*me)\n",
"\n",
"def tf(T):\n",
" return h(T)/vF\n",
"\n",
"ts273 = me/(rho*(e**2)*n0)\n",
"\n",
"td273 = 1/(1/ts273 - 1/tf(273))\n",
"# td273 = 7*10**-12\n",
"\n",
"def ts(T, td = td273):\n",
" return 1/(1/td+1/tf(T))\n",
"\n",
"print('vF', vF)\n",
"print('h', h(273))\n",
"print('tf', tf(273))\n",
"print('ts', ts273)\n",
"print('td', td273)\n",
"\n",
"print(A_metal*10**-10/vF)\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"T = np.logspace(1, np.log10(2*10**4))\n",
"\n",
"ax.plot(T, list(map(tf, T)), color='#999', label=r'$\\tau_f(T)$')\n",
"ax.plot(T, [td273] * len(T), color='#555', label=r'$\\tau_d(T)$')\n",
"ax.plot(T, list(map(ts, T)), 'k', label=r'$\\tau_\\Sigma(T)$')\n",
"\n",
"ax.set_ylim(3*10**-16, 10**-13)\n",
"\n",
"ax.vlines((0.1*TD, TD, Tpl), *ax.get_ylim(), linestyles=(0, (1, 10)), colors='k', linewidth=2)\n",
"ax.set_xlim(10, T[-1])\n",
"\n",
"ax.legend()\n",
"\n",
"ax.set_xscale('log')\n",
"ax.set_yscale('log')\n",
"\n",
"ax.set_xticks((10, TD*0.1, 100, TD, 1000, Tpl, 10000))\n",
"ax.set_xticklabels(('$10^1$', r'$0.1 \\cdot T_D$', '$10^2$', '$T_D$', '$10^3$', '$T_{пл}$', '$10^4$'))\n",
"\n",
"ax.tick_params(axis='x', labelrotation = 45)\n",
"\n",
"ax.set_xlabel(\"T, К\")\n",
"ax.set_ylabel(r\"$\\tau, с$\")\n",
"\n",
"ax.grid(which=\"both\")\n",
"\n",
"fig.tight_layout()\n",
"\n",
"for tau_d in (10**-12, 10**-13, 10**-14):\n",
" print([ts(T, tau_d) for T in (0.1*TD, TD, Tpl)])\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.449482062419317e-08\n",
"[(19916977771.00095, 10.299223438658192), (980014813.4330806, 8.991232640328844), (126395912.59634517, 8.10173302991508)]\n",
"[(1991732415.005714, 9.299230991470994), (679227948.652335, 8.83201554781269), (119566948.12936352, 8.07761114429435)]\n",
"[(199173587.88625395, 8.2992317467595), (166918982.92584085, 8.222505729795717), (77626577.63312955, 7.89001043959881)]\n",
"[8049.736164965731, 3960.8723655757485, 4139.412441329386]\n",
"[804.9876159097746, 2745.19851625431, 3915.7667561536655]\n",
"[80.49890158778761, 674.6273400143037, 2542.2374397389285]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"k0 = 1.3806*10**-23\n",
"\n",
"L0 = 1/3 *(np.pi*k0/e)**2\n",
"\n",
"print(L0)\n",
"\n",
"def sigma(T, td):\n",
" return e**2*n0*ts(T, td)/me\n",
"\n",
"def kappa(T, td):\n",
" return L0*T*sigma(T, td)\n",
"\n",
"T = np.logspace(-10, 3, 1000)\n",
"\n",
"for tau_d in (10**-12, 10**-13, 10**-14):\n",
" fig, (ax1, ax2) = plt.subplots(2, sharex=True)\n",
"\n",
" ax1.plot(T, list(map(lambda t: sigma(t, tau_d), T)), 'k')\n",
"\n",
" ax2.plot(T, list(map(lambda t: kappa(t, tau_d), T)), 'k')\n",
"\n",
" ax2.set_xlim(0, 1000)\n",
"\n",
" ax1.set_ylabel(r'$\\sigma(T)$')\n",
" ax2.set_ylabel(r'$\\kappa(T)$')\n",
" ax2.set_xlabel('T, К')\n",
"\n",
" ax1.grid()\n",
" ax2.grid()\n",
"\n",
"\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(2, sharex=True)\n",
"\n",
"colors=('#000', '#999', '#555')\n",
"\n",
"for i, p in enumerate((-12, -13, -14)):\n",
"\n",
" ax1.plot(T, list(map(lambda t: sigma(t, 10**p), T)), color=colors[i], label=rf'$\\sigma(T), \\tau_d = 10^{{{p}}}$')\n",
"\n",
" ax2.plot(T, list(map(lambda t: kappa(t, 10**p), T)), color=colors[i], label=rf'$\\kappa(T), \\tau_d = 10^{{{p}}}$')\n",
"\n",
" ax2.set_xlim(0, 1000)\n",
"\n",
"ax1.set_ylabel(r'$\\sigma(T)$')\n",
"ax2.set_ylabel(r'$\\kappa(T)$')\n",
"ax2.set_xlabel('T, К')\n",
"\n",
"ax1.set_yscale('log')\n",
"ax2.set_yscale('log')\n",
"\n",
"ax1.legend()\n",
"ax2.legend()\n",
"\n",
"ax1.grid()\n",
"ax2.grid()\n",
"\n",
"fig.tight_layout()\n",
"\n",
"for tau_d in (10**-12, 10**-13, 10**-14):\n",
" print([(sigma(T, tau_d), np.log10(sigma(T, tau_d))) for T in (0.1*TD, TD, Tpl)])\n",
"for tau_d in (10**-12, 10**-13, 10**-14):\n",
" print([kappa(T, tau_d) for T in (0.1*TD, TD, Tpl)])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_3418/4170067680.py:31: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
" ax.set_xticklabels(ax.get_xticks())\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.125 6.12e-08\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def rho1(gamma, p):\n",
" return rho*(1+3/(8*gamma)*(1-p))\n",
"\n",
"def rho2(gamma, p):\n",
" return rho*(4/(3*gamma*(np.log(1/gamma)+0.423))*(1-p)/(1+p))\n",
"\n",
"gamma = np.logspace(-2, 1, 100)\n",
"\n",
"for p in (0, 0.5):\n",
" fig, ax = plt.subplots()\n",
"\n",
" ax.plot(gamma, [rho/rho] * len(gamma), label=r'$\\rho$', color='k')\n",
" ax.plot(gamma, list(map(lambda g: rho1(g, p)/rho, gamma)), color='#999', label=rf'$\\rho_1(\\gamma, {p})$')\n",
" ax.plot(gamma, list(map(lambda g: rho2(g, p)/rho, gamma)), color='#555', label=rf'$\\rho_2(\\gamma, {p})$')\n",
"\n",
" gi = np.array((0.023 if p==0 else 0.01, *gamma[::5]))\n",
"\n",
" scaler = 0.1 if p == 0 else -0.08\n",
"\n",
" ax.scatter(gi[gi > 0.55], list(map(lambda g: rho1(g, p)/rho + scaler/(g-0.55)**(0.5), gi[gi > 0.55])), marker='o', c='k')\n",
"\n",
" ax.scatter(gi[gi < 0.55], list(map(lambda g: rho2(g, p)/rho - scaler/(0.55-g)**(0.5), gi[gi < 0.55])), marker='x', c='k')\n",
"\n",
" # ax.scatter(d[::11], list(map(lambda d: rho1(d, p) if d/h(Tpl) > 0.55 else rho2(d, p), d[::11])))\n",
"\n",
" ax.set_ylim(0, 15)\n",
" ax.set_xlim(np.min(gamma), np.max(gamma))\n",
"\n",
" ax.set_xscale('log')\n",
"\n",
" ax.set_xticklabels(ax.get_xticks())\n",
"\n",
" ax.set_xlabel(r'$\\gamma$')\n",
" ax.set_ylabel(fr'$\\rho(\\gamma, {p})/\\rho$')\n",
"\n",
" ax.legend()\n",
" ax.grid(which=\"both\")\n",
"\n",
" fig.tight_layout()\n",
"\n",
"print(rho1(3, 0)/rho, 3*h(Tpl))\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mn 1.2103e-32\n",
"mp 5.46e-31\n"
]
},
{
"data": {
"text/plain": [
"(0.0, 5.569410568277869e-20)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mn = 0.0133*me\n",
"mp = 0.6*me\n",
"\n",
"EG = 0.17 * e\n",
"\n",
"print('mn', mn)\n",
"print('mp', mp)\n",
"\n",
"def EF(T):\n",
" return 0.5*EG+3/4*k0*T*np.log(mp/mn)\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(T, list(map(EF, T)), 'k', label='$E_F(T)$')\n",
"\n",
"ax.plot(T, [EF(0)]*len(T), 'k', linestyle='--', label=r'$0.5 \\cdot E_G$')\n",
"\n",
"ax.plot(T, list(map(lambda t: k0*t*1.6, T)), color='#999', label='$E_T(T)$')\n",
"\n",
"ax.set_xlabel(\"T, К\")\n",
"ax.set_ylabel(\"E, Дж\")\n",
"\n",
"ax.legend()\n",
"\n",
"ax.set_xlim(np.min(T), np.max(T))\n",
"ax.set_ylim(0, ax.get_ylim()[1])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.5572100270608516e-20 2.3460501353042574e-20 2.5432601623651087e-20\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def fa(En, T):\n",
" return 1/(np.exp((En-EF(T))/(k0*T))+1)\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"En = np.linspace(0, EF(300)*2, 1000)\n",
"\n",
"print(EF(50), EF(250), EF(300))\n",
"\n",
"styles = {300: '-', 250: '--', 50: '-.'}\n",
"\n",
"for t in (300, 250, 50):\n",
" En = np.linspace(0, EF(t)*2, 1000)\n",
" \n",
" ax.plot(En-EF(t), list(map(lambda E: fa(E, t), En)), 'k' + styles[t], label=f'T = {t} К')\n",
"\n",
"ax.set_ylabel(\"$f(E_n)$\")\n",
"ax.set_xlabel(\"$E_n - E_F(T)$\")\n",
"\n",
"ax.legend()\n",
"\n",
"ax.grid()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.085 0.09732562669130322 0.15895376014781928 0.41458725772544797 7.464e-19\n",
"7.990326016236512e-19 4.1417999999999996e-21\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def EFa(T):\n",
" return EF(0)*(1-np.pi**2/12*(k0*T/EF(0))**2)\n",
"\n",
"def g(Eps):\n",
" return 2*np.pi*(2*mn)**(3/2)/h_pl**3*Eps**(1/2)\n",
"\n",
"def N(Eps):\n",
" return g(Eps)*fa(Eps, 300)\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"Eps = np.linspace(0, 10*EFa(300), 1000)\n",
"\n",
"ax.plot(Eps, list(map(g, Eps)))\n",
"ax.plot(Eps, list(map(N, Eps)))\n",
"# ax.plot(Eps, list(map(lambda x: np.exp(x), Eps)))\n",
"# ax.plot(Eps, list(map(lambda x: np.exp(x)/(0.3*np.exp(x)+1), Eps)))\n",
"\n",
"Ec = 4.665*e\n",
"\n",
"print(EF(0)/e, EF(50)/e, EF(300)/e, EF(Tpl)/e, Ec)\n",
"\n",
"print(4.835*e+EF(300), k0*300)\n",
"\n",
"# if True:\n",
"# T = np.linspace(1, 1000)\n",
"# ax.plot(T, list(map(lambda t: (EF(t))/(k0*t), T)))\n",
"# ax.set_yscale('log')\n",
"\n",
"# def Nc(T):\n",
"# return \n",
"\n",
"# print(Eg/(k0*np.log(Nc(0)*Nv(0)/Nd**2)))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, '$T^{-1}$')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def n0(T):\n",
" return 2*((2*np.pi*mn*k0*T)/h_pl**2)**(3/2)*np.exp((EF(T)-EG)/(k0*T))\n",
"\n",
"def p0(T):\n",
" return 2*((2*np.pi*mp*k0*T)/h_pl**2)**(3/2)*np.exp((-EF(T))/(k0*T))\n",
" \n",
"fig, ax = plt.subplots()\n",
"\n",
"T = np.linspace(50, 1000, 1000)\n",
"\n",
"ax.plot(T**-1, list(map(n0, T)), c='#999', linestyle=(7, (7, 7)), label='$n(T)$')\n",
"ax.plot(T**-1, list(map(p0, T)), 'k', linestyle=(0, (7, 7)), label='$p(T)$')\n",
"\n",
"ax.set_yscale('log')\n",
"\n",
"ax.set_xlim(0, 10**-2)\n",
"\n",
"ax.set_ylim(10**19, 10.0**24)\n",
"\n",
"ax.legend()\n",
"\n",
"ax.grid(which='both')\n",
"\n",
"ax.set_xlabel('$T^{-1}$')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"147.95825436672482 365.6284735670228\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Eg = 0.03 * e\n",
"\n",
"Nd = 10**22\n",
"\n",
"def nd(T):\n",
" return (2*Nd)/(1+np.sqrt(1+(8*Nd/(2*(2*np.pi*mn*k0*T/h_pl**2)**(3/2)))*np.exp(Eg/(k0*T))))\n",
"\n",
"def nd1(T):\n",
" return np.sqrt(1/2*Nd*2*((2*np.pi*mn)/h_pl**2)**(3/2))*(k0*T)**(3/4)*np.exp(-Eg/(2*k0*T))\n",
"\n",
"def n(T):\n",
" return n0(T) + nd(T)\n",
"\n",
"Ts = fsolve(lambda x: nd1(x[0]) - n(x[0]), [1/0.007])[0]\n",
"Ti = fsolve(lambda x: nd1(x[0]) - Nd, [400])[0]\n",
"\n",
"print(Ts, Ti)\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.set_xlim(0, 0.013)\n",
"ax.set_ylim(10.0**20, 2.3*10.0**23)\n",
"\n",
"ax.plot(T**-1, list(map(n0, T)), 'k--', label='$n_0(T)$')\n",
"ax.plot(T**-1, list(map(nd, T)), 'k-.', label='$n_d(T)$')\n",
"ax.plot(T**-1, list(map(nd1, T)), '-.', c='#888', label='$n_{d1}(T)$')\n",
"\n",
"ax.plot(T**-1, [Nd]*len(T), 'k', linestyle='dotted', label='$n_{d2}(T) = N_d$')\n",
"ax.plot(T**-1, list(map(n, T)), 'k', label='n(T)')\n",
"\n",
"ax.vlines([1/Ts, 1/Ti], *ax.get_ylim(), colors='k', linestyles=(0, (5, 5)), linewidth=1)\n",
"\n",
"ax.annotate(r'$\\dfrac{1}{T_s}$', (1/Ts-0.0005, 1.3*10.0**20))\n",
"ax.annotate(r'$\\dfrac{1}{T_i}$', (1/Ti-0.0005, 1.3*10.0**20))\n",
"\n",
"ax.text(1/Ts+(ax.get_xlim()[1]-1/Ts)/2, 1.3*10.0**20, 'I')\n",
"ax.text(1/Ti+(1/Ts-1/Ti)/2, 1.3*10.0**20, 'II')\n",
"ax.text(1/Ti/2, 1.3*10.0**20, 'III')\n",
"\n",
"ax.set_yscale('log')\n",
"\n",
"ax.legend()\n",
"\n",
"ax.grid(which='both')\n",
"\n",
"ax.set_xlabel('$T^{-1}$')\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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+Pb169bpp+/Xr1/PWW2/RqVMnxowZg4+Pj40iFVp0+fJl+vbtS2xsLK6urnz33XcMGjSI8+fPk5WVxZo1a2jevLm9wxRCiGqhzGfstm7dSt++fQkNDUWn06nTGBQWHR1NZGQkbm5uREVFsXfv3mL3tX//fkwmE2FhYUDB5diWLVtSp04dXnvtNQICAsoanrhBdnY2CxYs4JlnngGgU6dOXL16Vf3y9/dn0qRJrF27lrNnz3L16lW6detGs2bNqF+/PosWLbLzIxCV2f79+4mKiiI2NpZatWrx119/MXjwYBwcHFi4cCF79+6Vok4IIWyozIVdVlYWLVu2JDo6utjbf/rpJyZMmMC0adM4cOAALVu2pGfPniQmJlq1S0lJYfjw4cyfP1/dVrNmTQ4ePMj58+dZvHgx165dK2t4VdLZs2fR6XSsWrWKbt264eHhQaNGjdizZ88t77tmzRpcXV257777AHB3dyc4OJjg4GBMJhPXr1+nQ4cOBAQEEBQURHBwsDpRbN++fVm6dGmFPjahXb/99hudOnXiypUrNG3alJdffpno6Gi1r6abm5t6dl4IIYRtlLmw6927N//3f//Ho48+Wuzts2fPZuzYsYwaNYomTZowb948PDw8+Oabb9Q2eXl5DBgwgMmTJ3P//fcX2UdQUBAtW7Zk27ZtZQ2vSjp48CA6nY7Zs2czdepUDh48SHh4OJMnT77lfbdt20bbtm2LvS0mJgaAli1bFnt7u3bt2Lt3L3l5ebcfvKiSPv/8cx577DGys7Pp0aMHDz/8MG+//TaLFy9W134VQghhe+Xaxy4/P5/9+/czZcoUdZuDgwMPPfQQu3btAkBRFEaOHEnXrl0ZNmyY2u7atWt4eHjg7e1Neno6W7du5YUXXijxWHl5eVYFh2U9TIPBgMFgsGprMBhQFAWz2Vxk5GdWVlaZH6erqytOTgVPndFoJC8vDwcHB9zd3W+6X09PzzIfCyA2NpaaNWuyZMkSatWqBRScTZs/f36xI1l79OhBdHQ0DRs25MKFC4SEhBTbbv/+/YSFheHv76+eUS3cLjg4mPz8fK5cuUJERMRtxV4SS/9JS14qitlsRlEUDAZDtVyyymg0qt9vfF+UleV99MYbbzBz5kwAnnnmGRwcHPjoo48AmDp1Kn379r3jY4k7Z8mB5EI7JGfaY6uclWX/5VrYJScnYzKZCAoKstoeFBTEiRMnANixYwc//fQTLVq0UPvn/fDDD+Tk5PDss8+qgyZefvnlm/bNmTFjBu+++26R7Rs2bFAHYVg4OTkRHBxMZmZmkWkffH19y/w4v/32WwYMGAAULGw+atQoOnTowKpVq9Q2DRo0KDKqNzU1tczHgoICrHfv3ri6uqoF7MmTJ4mIiCh2gfeTJ09Sq1Yt9Ho9mZmZ6s83svR/ysrKwsXFhaysLKsXj8lkAiAxMfG2nqfSyMjIqJD9WuTn55OTk8PWrVvVIqc6iYuLIywsjL1793L16tU72pfRaCQ6Opq///4bgMGDB3Ps2DF27dqFTqdj7NixtG3blrVr15ZH6KKcbNy40d4hiDKSnGlPRecsOzu71G1tPiq2Y8eOJZ6hiY2NLfV+pkyZwoQJE9Tf9Xo9YWFh9OjRgxo1ali1zc3NJS4uDi8vL9zc3G4r7sLc3d3VY1jO0jk5OVkdV6fTFbnfjXGV1rFjx5g0aZLV/Y8fP84DDzxAjRo1OHr0KGPGjCEnJ4cnnniC0NBQatasCRQU1VlZWcUe+/DhwzzzzDMEBAQUO1DFUgTXrVv3tmMviaIoZGRk4O3tXexzVV5yc3Nxd3enU6dO5ZJ7LXruuefueB8ZGRk88cQT/P333zg6OjJnzhxWrlzJrl27cHZ2ZuHChQwaNKgcohXlxWAwsHHjRrp3746zs7O9wxGlIDnTHlvlrLiTMyUp18IuICAAR0fHIoMerl27RnBwcHkeCldXV1xdXYtsd3Z2LvLkmkwmdDodDg4ORSZHzczMvK1jW/bz+OOPk5mZWWTfxc0ZdzsTs6anp3PhwgXatm1rdf/Y2Fj+9a9/YTAYeOqpp1iyZAnNmzdnwIABtGjRQm3bpk0bFi1aVOTYycnJxMXFFdlvYceOHaNOnToEBgaWOe5bsRT3lrxUFAcHB3Q6XbGvC1E6CQkJ9OnTh5iYGFxdXVm+fDkBAQH8+9//xtPTk5UrV/LQQw/ZO0xRAnnta4/kTHsqOmdl2Xe5FnYuLi60bduWTZs2qZcqzWYzmzZt4qWXXirPQ5Wb2+33ZuHk5KT2tyvP/VocOnQIJycnq8vSFy9eJDU1lVatWrFy5Uo6d+6s3t64cWNCQ0PVtj179mTKlCmkpqZaXU49cOAAUFD4lWTbtm306NGjXB6H0KaTJ0/Sq1cvLly4QGBgIK+//jq9evXC2dmZZcuWERoayr333mvvMIUQQvx/ZS7sMjMzOXPmjPr7+fPniY2Nxc/Pj/DwcCZMmMCIESO45557aNeuHXPnziUrK4tRo0aVa+AlKevgicouNjaWRo0a4eLiosa+f/9+atasSXh4OF999RUtWrRQb9u3bx9vvPGG+nvTpk1p06YNS5cutbokd+DAAXV6k+Kek9zcXFauXMmaNWsq5DmTwROV3759++jbty/Xr1+nQYMGfPLJJ5w/f159f/Xp0weQjt6VlXTE1x7JmfZUxsETOqWMyzts3ryZBx98sMj2ESNGqAt9f/bZZ/z3v/8lISGBVq1a8cknnxAVFVWWw5RadHQ00dHRmEwmTp06xeLFi0scPBEWFoaLi0uFxGEv0dHRxMXF8cEHH/DXX38xcOBAzp07p/axg4KVJKZNm8bOnTtLfdlzwYIFrF69ml9++aWCIreN/Px84uLiSEhIqJaDJ27X4cOHef/998nNzaVhw4aMGjWK//73vzg4OPD++++Xe9cKIYQQJcvOzmbIkCGkp6ffss97mQu7ykqv1+Pj40NycnKJgycsq2FUJYmJiTz88MOYzWaaNm3Kjh07OHv2bJF2H3/8MY899pi6ysetfP311zzwwAM0atSovEMGbDt44sKFC4SFhVW53FeUP/74gyFDhpCXl8eDDz7ItGnTGDRoEElJSYSHh7N582bq1Klj7zDFLUhHfO2RnGmPLQdPBAQElKqws/mo2IpW1sETWhccHMz+/ftv2e7VV18t8TaTyUROTg7u7u7q5cpnn3223GIsjgyesI3MzEwOHz5M8+bN8fLyumX7H374gVGjRmEymRgwYAATJ06kX79+pKam0rp1a1599VXq1KlTLZ9Lraqur30tk5xpT2UaPFG1qhxxW3Jzczlx4gS5ubn2DkWUs1OnTnH//fdz6tSpW7b99NNPGT58OCaTiREjRvDKK6/Qp08fUlNTad++PevXry/3aW+EEEKUryp3xk4IUTaKovDee+8xbdo0AF555RUGDRpEjx49yM7OpkuXLvzxxx/FTi8khBCicqlyhV1VGxVra7Z6fmRUrG3cakkxRVGYNGkSc+fOBeDtt9/mzTffJD09nbvuuovAwECWLVuGq6urjNjTGMmX9kjOtKdKjIqtbKr7qNjykJuby+XLl6lTp06VG2BQ3UfFnj17lokTJzJr1izq169vdZvZbOarr75SlwAbM2YMjzzyiHp7RkYGbm5u0tdHCCHsTEbFVqNRseUhJyeH48eP07hxY3WJtIomo2JtIyYmhqioKPbs2UPr1q3V7WazmRdffJFvvvkGnU7Hl19+SUREBKdOnSpxCTIZsactki/tkZxpj4yKtYHqNiq2vNnq+ZFRsbZhWRXFyclJffwmk4mxY8fy3Xff4eDgwMKFCwkLC6NPnz7k5OQQFhZG//79S9xndX0utUrypT2SM+2pTKNiq1xhJ8rO0dGRGjVqVMs+aFWdt7c3PXr0wNvbGyjoazdixAgWL16Mo6MjixYtIjQ0lN69e5OTk0Pv3r3p1auXnaMWQghxu6SwE7i5uXHXXXfZOwxRARo2bMj69euBgksGQ4YMYcWKFTg5ObF06VICAwPp3bs32dnZ9OzZk19++UVGvwohhIZJYSdENZCXl8fgwYP57bffcHFxYfny5dSqVYsePXqQlZVFjx49WLlyZbXshyiEEFVJlSvsZLoTbZDpTmwnPz+fJ598klWrVuHq6sry5ctp0aIFrVq1IjMzk27durF8+XIcHR1vOqRepmLQFsmX9kjOtEemO6kAMt2JuJnqPt2J0Whk5syZ7N69GxcXF9544w1atWqFoiisWLGCAwcOMG3aNDlTJ4QQlZhMdyLTnZTK9evXadq0Kbt37yYyMrJU93nqqae49957mTBhwh0dW6Y7qXiWgRLLly/HxcWFX375hR49eli1yc/PL/U/OzIVg7ZIvrRHcqY9Mt2JDch0J6U3Y8YM+vfvT7169Vi/fv0tR0OuX7+eqVOn0qlTJ8aOHYuPj89tH1umO6lYlilNli9fjrOzM7/88gtt27bl+eefZ+7cueoo2dt5Tqrbc6l1ki/tkZxpj0x3IuwuOzubBQsWsH79eoxGI82aNSMuLk6d96xZs2a8+OKLvPjii+p9atWqhaOjI/Xr12fRokWMGzfOXuGLmzCbzYwZM4Yff/wRR0dHxo8fT+PGjenRoweHDx8mMzOTn376yd5hCiGEqABy+koDzp49i06nY9WqVXTr1g0PDw8aNWrEnj17bnufa9aswdXVlfvuu4+8vDyuXr2Kr68vwcHBmEwmrl+/zgMPPEBwcLD6ZRl80LdvX5YuXVpeD0+UI7PZzPPPP8/ChQtxdHRk+vTp/Pe//6V///4cPnyY4OBg3n//fXuHKYQQooJU+8IuPz+/zF+FR3GazWby8/OLjFgp7n636+DBg+h0OmbPns3UqVM5ePAg4eHhTJ48+bb3uW3bNtq2bVvsbTExMQC0adOm2NvbtWvH3r17ycvLu+3ji/KnKAovv/wyX331FQ4ODvzwww907twZgCNHjuDn58fGjRtp0KCBnSMVQghRUar9pdg5c+aU+T79+/fn7rvvBuDUqVP89ttvhIWFMWTIELXNvHnzyMnJsbrfpEmTbivGgwcPUrNmTX766Sdq1aoFQL9+/fjyyy+Lbf/QQw/xxRdf8Prrr7N582a6devGihUrrNpcvHiR0NDQYu9/4MABwsLC8Pf3L/b20NBQ8vPzSUhIICIi4rYekyh/kydP5vPPP0en07Fw4UIGDx7MI488AhRMQr1u3TqaNWtm5yiFEEJUpCpX2NliHrvCc68VHlR8q33f7rFjY2Pp168f/v7+6j7OnTtH/fr1i93n6dOnqVu3Li+//DIjR47k+++/L9IuOzub0NDQItvNZjP79++ndevWJcZrWZkgMzPzth+TzGNXvj766CM++ugjAL744guefPJJ3nzzTdauXQsUDJRp1arVHc21JHNsaYvkS3skZ9pTGeex03xhV3geO4ANGzaUOI9dZmZmkUuio0ePLvMxHR0d0ev1AAQFBTF69Gh0Op26DQqmBblR4dvLIjY2lldffdXq/vv37+f+++9Hr9dz/PhxXn75ZXJycnj00UepVasWmZmZtGnThu3bt2M0Gosc28fHh8TERPR6Pbm5uQBkZGRgMBjYv38/w4cPLzHeuLg4oOAs0O0+JouMjIw7uv+t5Ofnk5OTw9atW6vsPHbr1q1j3rx5AIwcOZLg4GDWrFlDYGAg3t7eZGRkYDabWbNmTbkcb+PGjeWyH2Ebki/tkZxpT0XnLDs7u9RtNV/YjRs3jnHjxqnz2PXo0aPEeey8vLw0N5dZeno6ly5don379laP68iRI4wfPx5XV1fGjh3Ljz/+SPPmzXn00Udp1aqV2tbDwwMnJ6ciz0m7du348ccfqVGjhjqM2tvbm6ysLOLj47nvvvtKnCvn/Pnz1KlTh7p1697247LlPHbu7u506tRJc7kvjaVLl6qX5CdPnsx//vMfq9tbtWpF165d6dixI61bt76jY8kcW9oi+dIeyZn22HIeu9LSfGF3o6o2j92RI0dwcnKiZcuWauwXL14kNTWVNm3a8Pvvv9O5c2datmwJQJMmTQgNDVXbWuZxu/Fx9+rVizfeeIP09HQ8PDwICAjAycmJ2NhYAO65554Sn6sdO3bQo0ePO3ouZR67O7d69WpGjx6NoiiMGzeO6dOns3nzZlxdXbn//vsBqFevHs888wxBQUHl9vir4nNZlUm+tEdypj2VaR47bVU51dDBgwdp1KiR1dmmmJgYatasSWRkJIcPH6ZVq1bqbfv376dFixa33G/z5s1p06YNy5Ytw9XVlcjISFxdXYmJiSEoKKjEgRW5ubmsXLmSsWPH3vFjE7dv69atDBw4EKPRyNNPP80nn3zCoUOH6N+/P926dVOnwomIiODrr7+WQS5CCFFNSGFXyb300kscOXLEatuAAQNITU0FwM/PT719w4YN/Pnnn6Uq7ADefvttPv74Y6vBC5MmTSIhIaHE+3z77be0a9eO++67r6wPRZSTAwcO0LdvX3Jzc+nbty/ffvstV69epU+fPmRkZBAVFaWewRVCCFG9VLlLsdXN0KFD6d27N61bt6ZZs2ZERETg6+sLFEx7cvDgQbKysqhTpw7Lly+nffv26n0ffvhhTp8+TXx8PGFhYaU6nrOzM59++mmFPBZxa2fOnKFXr17o9Xo6d+7MTz/9RF5eHn379uXKlSs0adKElStXVsn+hEIIIW5NCjuNCwwMZP/+/cXe9ueff97y/uPHjy/T8caMGVOm9qL8JCYm0qtXL5KSktT+lS4uLjz66KPExMQQGBjI6tWrqVmzpr1DFUIIYSdS2AmhAZmZmTz88MOcPXuWunXrsmbNGmrUqMGECRP4448/cHV15bfffiMyMtLeoQohhLAj6WMnRCVnMBh44okn2LdvH/7+/qxbt46goCCMRiPnz58H4LvvvpN+j0IIIareGTtbrDxR1RiNRlJSUvDz88PJyTYvCVl5onQUReG5555j7dq1uLu7s3LlSurWrau+xpcuXcrmzZvp2rVrsTOTX7t2jSVLlvDUU08RFBR0R7HIrPjaIvnSHsmZ9lTGlSd0SuE1sTSo8MoTp06dYvHixSWuPBEWFoaLi4udIq28cnNzuXz5MnXq1Klyne7z8/OJi4sjISFBkytPLFmyhJ9++gkHBwcmT55Mu3bt0Ov1pZ7Y+ezZs0ycOJFZs2ZRv359G0QshBCivGVnZzNkyBDS09NLXDzAQvOFnYVl5Ynk5OQSV56IjIyscoVLecjJyeH48eM0btwYd3d3mxzTlitPXLhwgbCwMM3lfsGCBbzwwgtAwT8wY8eOJSUlhQ4dOnDffffx+eef3zJfMTExREVFsWfPHll5opqRfGmP5Ex7bLnyREBAQKkKuyp3KbaqrTxha7Z6fmTliZtbtWoV48aNA2Dq1Km8+OKLGI1Ghg0bxtmzZzGZTOTn59/6Df7/L607OTnJyhPVlORLeyRn2iMrTwghShQbG8uTTz6J2Wxm1KhRvPvuu0DBWrAbN27Ew8OD3377jYCAADtHKoQQorKRwk6ISuTKlSs88sgjZGVl8dBDD/Hll1+i0+n44YcfmDVrFlAwAra0q4sIIYSoXqSwE6KSyMrKom/fvsTHx9O4cWOWL1+Os7Mz+/btU9fmfeuttxg4cKCdIxVCCFFZSWEncHZ2JjQ0VPp02JHZbGbo0KEcOHCAgIAAVq1aRc2aNcnPz2fQoEHqsmGWy7KlFRISwrRp0wgJCamgyIUQQlQmUthVY9evXycwMJArV64QGhpaqqlgnnzySfWSoCg/U6ZMYeXKlbi4uLBy5Urq1asHgIuLCwsWLOCBBx5g0aJFZR5oEhISwjvvvCOFnRBCVBNS2FVj77//Pv379ycyMpL169ej0+lu+rVhwwbeeust3n//fdLT08s9ns6dO6PT6ViyZInV9k8//ZTQ0NByP15l8fXXX/PRRx8B8M0339ChQwer27t27cqWLVtuOQJWCCGEkMKumsrOzmbBggU888wzAHTq1ImrV6+qX/7+/kydOtVqW7du3WjWrBn169dn0aJF5RqPoijExMQQEhLCzz//bHXb/v37adOmTbker7L466+/1Lnqpk2bxtNPPw3AmjVrOHXqlNquIuf6E0IIUXVUuXnsquKSYmfPnuWuu+7it99+4+OPP2bXrl2EhYWxcOFCoqKibmufq1atwtXVlXbt2mE2m3F1dSUwMBCA+Ph4rl+/TocOHdRtFmazmUceeYSlS5eqBcntuHFJsVOnTpGRkcGMGTN4/fXXyczMVFcQOXDgAAMGDLit3FXmJcXOnDnDwIEDMRqNDB48mDfeeAODwcDx48d54okncHBwYPPmzTRv3tzeoQKy3JHWSL60R3KmPZVxSTHNF3aFlxQD2LBhQ4lLimVmZpKfn2+PMO/I7t270el0zJw5k9dff52PPvqIf//737z++uv88ccft7XPv/76ixYtWqDX64vctmPHDgAaNmxY7O1NmzZl+vTpJCUl4erqanXbrFmzmDNnzk2PbSlMATIyMgDYvn07bm5uDBo0iPfee49ffvmFfv36kZuby/Hjx5k8eXKxsdxKfn4+OTk5bN26tVItKZaTk8Prr79Oamoqd911F48//jhr164lJyeH1157jaysLJo3b86FCxeIi4uzd7hWNm7caO8QRBlIvrRHcqY9FZ2z7OzsUrfVfGE3btw4xo0bpy4p1qNHjxKXFPPy8iqyrFRWVhYAHh4e6uWu/Px8DAYDTk5OVoWLpa27u7vaid1gMJCfn4+jo6PVvotre7tOnz5NzZo1Wb58ObVq1QLg0UcfZf78+cX2u+rRowdTp05l2rRpJCYm4uTkxJtvvsmgQYPUNlevXiU8PLzY+588eZKwsDAiIyOLjadBgwbk5+eTnZ2txmPxyiuvMGzYsJs+nsjISBwdHa2WFDtx4gQtWrQgICCARx99lDVr1jB06FCOHz+O0WikQ4cOJfYx69GjB9HR0TRs2LDIbbm5ubi7u9OpU6dKs6SY2Wxm0KBBxMXFERoaysaNGwkJCUFRFIYNG8bly5cJDQ1l7dq1Rc6Y2pMsd6Qtki/tkZxpjy2XFCstzRd2NyrrkmKWYiExMVEtUmbNmsVbb73FmDFj+Oqrr9S2wcHBZGdnc/78ebXo+eKLL3j11VcZMmQIP/74o9q2Xr16JCcnc+TIEZo2bXpHj+nQoUP079+foKAgdduFCxdo0KBBsUXj6dOnadCgAXPnzqVVq1YkJCTQtm1bHnnkETw9PYH/FTwODg7k5+dz7do1goKCcHFxISYmhjZt2pRYkBbex41tAgICSrUiwo1LihU+5uOPP85jjz2GwWAgNjaWWrVqERERUeK+Tp8+TcOGDYuNtzIuKTZt2jT++OMPXF1d+fXXXwkPDwfgs88+Y9myZTg5ObFs2TJq1659x8e6fPkys2fPZsKECdSpU+eO9wey3JHWSL60R3KmPbKkmCiTgwcP0r59e6ttsbGxtGrVCoCjR48SFRVFixYteP/99wkODqZ27drq7cHBwQQEBJCSkqLePyAggNTUVKDgP45r166p1/APHDhw08EKlv3ceLYOYPr06Xh5ed3069KlS0Xud+DAAdq2bQtAly5dcHZ2Zv369cUOnCju8WplDeCff/6Z//znPwDMnz+fdu3aAQWX2ydMmADARx99VGRk7O1KTExkzpw5JCYmlsv+hBBCVG5V7oxdWWVmZgJY9ct77bXXGD9+vLqAuoXlj6O7u7u6bdy4cYwdO7ZIx/wLFy4UaXs70tPTuXDhAq1bt7baHhsby7/+9S/y8vIYPHgwS5YsoXnz5gwYMKDIclP79+/HZDKp/doAWrduXezI1uTkZOLi4m5a2B05coQ6deoUe2bu+eef54knnrjpY7px6pJz586RlpamHtPJyYl+/frx888/c/jwYXr37q22Lc3jrawOHTrEiBEjAHj11VcZPny4etusWbMwGAwMHDiQ8ePH2ylCIYQQWlftCzvLZcXCXFxcip2st7i2JZ1+La7t7Th06BBOTk5WIyMvXrxIamoqrVq1YuXKlXTu3Fm9vXHjxlaFU0pKCsOHD7e6pAzQs2dPpkyZQmpqqtVjPXDgAMBNC7tt27bRo0ePYm/z8/PDz8/vlo+r8AjX/fv34+LiQrNmzdRtjz/+OMOGDSM7O5s333xT3X6rx1tZJScn079/f3UNWMu8dRY//vgjbdu25cUXX5SpTYQQQtw2bVy/qsYOHjxIo0aNrDr+x8TEULNmTSIjIzl8+LB6yRUKiiTLGay8vDwGDBjA5MmTuf/++63227x5c9q0acOyZcustsfExBAUFFRisZSbm8vKlSvVtUvLw4EDB2jWrJlVgdm9e3dMJhP5+flWRebNHm9lZZnO5MKFC9SrV4+ffvqpyNlgFxcXJk+eLJMQCyGEuCNS2FVyL730EkeOHLHaNmDAALV/nJ+fn3r7hg0b+PPPP2nRogWKojBy5Ei6du1a4ijVt99+m48//tjq7NmkSZNISEgoMZ5vv/2Wdu3acd99993pQ1PNmDGD/fv3W21zdXVFr9ejKAp169ZVt5f0eCuzN954g7/++gsvLy9+//139Yzm4cOH1bnrhBBCiPJQ7S/Fat3QoUPp3bs3rVu3plmzZkRERODr68v27dv56aefaNGiBStXrgTghx9+sLqk+/DDD3P69GmuXLlS6uM5Ozvz6aeflvfDKLWSHm9l9csvv/Df//4XKCiKLSOks7OzGTx4sDqdy42XZoUQQojbIYWdxgUGBhY52wXQsWPHUq3UMH78eAwGA2lpacX2K7zRmDFjbivO8lLS462MTp48yciRIwGYOHEiAwcOVG8bP348x48fJyQkhNdee63CYggPD+err75Sp1QRQghRtUlhJ3B2di526hJx+7Kysnj88cfJyMigU6dOfPDBB+ptP/30E1999RU6nY5FixZV6HMfEBBg92JcCCGE7UgfOyHKmaIojB07lqNHjxIcHGw1WOLSpUs8++yzAEyZMoWuXbvaM1QhhBBVjBR2QpSzzz77jCVLluDo6MiyZcsIDg4GCqZ4GTFiBHq9nqioKN555x37BiqEEKLKkcJOiHK0c+dOdQWJ//73vzzwwAPqbUeOHOGff/7B09OTRYsWyZJBQgghyl2V62NnMBiKTB9hMBhQFAWz2VyqAQWi4imKon6vyJyYzWYURcFgMBRZHaS8JSYmMmjQIIxGIwMHDmTcuHFWr8XGjRvzzz//cPz4cSIiIjQ3zYklXq3FXV1JvrRHcqY9tspZWfavUyx/YTUqOjqa6OhoTCYTp06dYvHixVbLg0HBElXBwcGEhYWVauSnqDry8/OJi4sjISEBo9FYYccxm828++67HDx4kDp16vDf//73jpeTE0IIIaBgiqwhQ4aQnp5+y4nsNV/YWej1enx8fEhOTi7yoHNzc4mLiyMyMtJqBQdRID8/n8uXL1OnTh2bFb6KopCRkYG3t3eFLqGVm5vLhQsXCAsLq9Dcf/jhh0ydOhV3d3d27typzlcHMGfOHNq0aUPnzp0r7PglOXfuHG+88QbTp0+nXr16d7Qvg8HAxo0b6d69u1xG1gDJl/ZIzrRDURSSk5PR6/WcOHGCHj16VGjO9Ho9AQEBpSrsqtyl2OLWbjWZTOh0OhwcHHBwkG6FNzKZTKSlpRESEmKz58dy+dWSl4ri4OCATqcrcU3f8rB9+3Z1IMRnn31mteTZtm3bmDx5MlCw0kThgs8WsrKy+OWXX3jzzTfL7fFX5HMpyp/kS3skZ7ZnNpvJzs4mOzubrKwsatWqhZeXF1CwPvuuXbsICAjgoYceAgoKuyVLlmA0GqlXr16F56ws+65yhZ0QtnT9+nWeeuopTCYTQ4cOZdSoUeptGRkZDB8+HEVRGDVqlM2LOiGEqO4sZ9YyMzPJyspSvywFnOUrJyeHwhcw+/XrR+PGjYGCddcvXrxIfn6+ertOpyMgIACj0Uhlu/AphV0VsGnTJnVN2dIMEMjPz+euu+5ixYoV3HPPPTaIsGpSFIURI0Zw+fJl7rrrLj7//HOry8qvv/46Fy5cIDIykrlz59ovUCGEqEJMJpNakPn4+Kj96uPi4ti7dy9+fn48+OCDavvvv/++1H2sPTw88PT0tLqSFBISwsMPP4yPj49V2xEjRmAwGFizZk05PKryI4VdFfD666/z1ltv4ejoSJcuXdiyZUuJbTt37szmzZv597//zaRJk9i0aZMNI61a5syZw+rVq3F1dWXZsmV4e3urt/3111/MmzcPgG+++eaWfSKEEKK6y8/PV8+s3ex7Tk6Oep++ffvSpEkToKBP9ZkzZwgJCVFvL3xmzdPTs8QvDw8PPDw8iu0a5O3tTbNmzSr+CSgnUthp3Pbt2zl79iyPP/44ULDovOV0cVxcHO3atePPP/9ULwNaBkc8/fTTTJw4kaNHjxIZGWmX2LVsz549TJo0CYC5c+fSsmVL9bbMzEx1Ga/nn3/e6j9HIYSoThRFIS8vD0dHR7WfWGJiIocOHcLb25uoqCi17WeffVbqaT0cHBzw9PS0ugwaFBREz549iz2zVp1IYVfJdenShRYtWuDm5sbXX3+Ni4sLzz//vNpZf+nSpXTv3l0d8enn56feNzc3FwB/f3919QMLX19fOnTowNKlS9XO/aJ0UlNTGTx4MEajkUGDBvHcc89Z3f7jjz9y/vx5wsPD+eijj+wUpRBCVCyj0UhWVhYZGRlkZGSQmZlJZmam1c+ZmZkYDAarM2t6vZ79+/cTHBxsVdh5eXmRmZmJl5cXnp6exX63/Ozu7l5kRoUaNWpYDV6rrqptYacoCtnZ2TY/roeHR5mn9/juu++YMGECe/bsYdeuXYwcOZIOHTrQvXt3tm3bxpAhQ24rlnbt2rFt2zbeeecdGjZsKFPBlIKiKDz33HNcvHiRevXq8dVXXxXJ57PPPouXlxfBwcFWl2ftoUGDBqxbt44GDRrYNQ4hhPZkZ2dz9epVdDqd1XRJixYtIiUlxeqSaGn2ZREQEEBUVJTViQiAUaNGyWjgclBtC7vs7Gx1KLMtZWZm4unpWab7tGjRgmnTpgHQsGFDPvvsMzZt2kT37t25ePEioaGhtxVLaGgoFy9exNHRscipa1G8hQsXsnz5cpycnFi6dGmxz5tOp+Ppp5+2Q3RF1ahRg549e9o7DCFEJWE0GtUzbJYza4W/33fffTRs2BCAq1evsmLFCoKCgqwKu5ycHLWoc3R0xMvLC29vb/WMmuXnwtsKF2w1a9akS5cuRWKToq58VNvCTktatGhh9XtISAiJiYlAwRvsds+0ubu72+WspVadOXOGl19+GYD33nuPe++91+r2pUuX0qNHjyL/hQohhC2YzWarzv/79u0jNTUVvV6vFnK3+sxPSUlRf65RowZBQUHUqlXLqs3DDz+Mk5MT3t7euLm5Vegk86Lsqm1h5+HhQWZmpl2OW1Y3/hej0+nUCX4DAgJITU29rVhSUlKKvGFF8QwGA08//TRZWVl07tyZ1157zer23bt3M2TIEIKCgjh8+DABAQF2ilQIURWZTCb1rJperycwMFD9nLl8+TIrV67Ey8uLkSNHqveJiYmxKtQsnJycqFGjhtUZNcsZtqCgILVdrVq1rPZncbtXiYRtVNvCTqfTlfmSaGXUunVrjh07dlv3PXLkCK1bty7niKqmd999l71791KzZk1++OEHq/kCDQYDzz77LIqi0L17dynqhBBloigKmZmZpKSkqAMLsrKyrM603XgionPnzupnjYuLC1lZWeo//BbNmzcnPz8fb29vvL291WJOzrJVbdW2sKsqevbsyXfffXdb9922bRvvvfdeOUdU9WzdupXp06cDMH/+fMLCwqxunzNnDocPH8bf35/Zs2fbI0QhhAZkZ2dz5swZTCaT1T/V33zzDcnJyervV65cKfb+Dg4OaoFW+MSEn58fI0aMKDJf5n333VfOj0BogRR2Gvf000/z+uuvc/LkSRo1alTq++3atYv09HQGDhxYgdFpX1paGsOGDVOXBRs0aJDV7efPn1ennpk1a5acrROiGsrLy0Ov16PX60lPT7f63qxZM7WIy8zMZO3atbi7u1sVdl5eXly/fh0vLy+MRiPh4eH4+PioZ9gsxVxJsyo4OTkVmdJKVF9S2FVymzdvLrJt5cqV6s9+fn689NJLzJ49my+//NKqXWRkZIlr2M2dO5fXXnsNd3d3cnNzOX/+PHXr1pUpTwpRFIXnn3+eS5cuUb9+fT7++OMit7/44ovk5OTQpUsXhg8fbqdIS3by5ElGjhzJwoULy1T4CyGKOnfuHElJSWRkZFgVcHl5eSXep3CfNR8fHyIjI/Hx8bEa6NC/f39cXFwwmUysWbOGPn36yAhRcduksKsC3nzzTT7//PMiI6JKkp+fT/PmzXn11VeB/627ZzKZKjpUTVm0aBE//fQTjo6OLF68uMicdCtWrGDdunW4uLgwb968StlnJSsri927d5OVlWXvUISotPLz8zGZTLi7uwOQkZHBxo0bycvL46mnnlLb7d27l4sXLxa7Dzc3N2rUqKGeabN8FR6g5urqyuDBg4u9LyCfwaJcSGFXBdSsWZM33nij1O1dXFx46623KjAi7bt06RIvvfQSUDBwol27dkXadO3aldGjRxMRESFnw4SoxEwmExkZGaSlpZGenk56ejppaWnq79nZ2bRp04bu3bsDBTMRnD59Gigo+ixLMUZGRuLh4VFsAefq6mq3xydEYVLYCXEDs9nMqFGj0Ov1tG/fvsQl1/z9/VmwYEGJl7uFELahKIrVGfNjx45x4cIFtYjT6/W3fJ8WHnXq5uZGz5498fb2troKIoMRhBZIYSfEDaKjo/nrr7/w8PDgu+++s5raBArm//P19VX/kFTGS7BCVDWKopCRkYHJZMLX1xcoOJu2ePFi0tLSGDdunNov7eLFixw+fNjq/pYVdnx8fKhZs2aR7zf2L5Y1R4VWSWEnRCGnTp1i0qRJAHz00Ufq0joWJpOJbt26Ubt2bebPny8TdQpRjsxmM3q9ntTUVNLS0khNTVV/TktLw2g0Ur9+fXU0v7OzM2lpaeTl5ZGWlqb2Z2vYsKF6udRSvHl5eck/YaJaqHKFncFgwGAwWG0zGo0oioLRaCwygaOwZqvnx3JZRFGUCj1m4dzf+Looru3w4cPJycmhW7dujBkzpsh9vvzyS2JjY7l48SI6ne6W+7Q3o9Gofr/TWC33r+yPWRTQQr4uXLjAuXPn1MJNr9ff9PNAp9MVeS3369cPDw8PvL291e0RERFERERY3dfyXqjMtJAzYc1WOSvL/nWKxjsIRUdHEx0djclk4tSpUyxevLjYZbuCgoLw8vLCz88PJ6cqV8/eEbPZjNFoxMnJqVSjarXCaDSSkpJCZmYm165du2X7FStWsGjRIjw8PPj444+LLLem1+t58cUXyczM5Nlnn6VPnz4VFXq5ycvL49q1awQFBUnnbmEzln/YCndjiI+PJzc3l7CwMHUwQnJystXEvFBQvDk7O+Pi4qJ+t/zs7OwsZ91EtZSdnc2QIUNIT08vMhH1jTRf2Fno9Xp8fHxITk4u9kEbDAauXbtGTk6OHaITN1IUhdzc3Apf2sbd3Z2goKBbzgl18OBB7r//fgwGAwsWLGDYsGFF2rz44ot8/fXXtGjRgj179hTpe1fVGQwGNm7cSPfu3WWOLQ2wRb7y8vJITU0lJSVFvWSakpJCWloaPj4+VnM7fv/99yQnJzNgwADq1asHFBR7586do2bNmupXdb5kKu8x7bFVzvR6PQEBAaUq7KrcqSvLf3XFbY+MjMRoNMpcQZWAwWBg69atdOrUqcLeDI6Ojjg5Od3yj0ReXh7PPPMMBoOB/v37M2rUqCL32bdvHwsWLAAKzhJX54mcS3qPicqpPPKVmZnJ1atXSUlJsfrKzs4u8T56vd7q/de1a1ccHBwIDg5W44mMjCQyMvKOYquK5D2mPRWds7Lsu8oVdjdjOcUvbxj7c3R0xGg04ubmZvd8vPvuuxw6dIiAgADmz59fpKgzm8289NJLKIrC0KFD6dixo50iFaLinTlzhitXrtC4cWO1O8L58+dZs2ZNse09PT3x8/PDz88PX19f/P398fX1pWbNmlbvpbp169okfiGqu2pV2Alxo927d/Phhx8CBQMjAgMDi7S5cuUKycnJeHl58dFHH9k6RCHKVW5uLsnJyVy/fp3r16+j1+vp37+/WoTFxsZy9uxZvL291cKuVq1aBAUFqQVc4UJO+m4KUblIYSeqrdzcXEaNGoXZbGbo0KE89thjxbarU6cOR44cITY2lpCQEBtHKUTZKYpCZmYmWVlZxMTEkJaWphZyxS0vl52djaenJwANGjRQB5pZBAcHM3LkSFuFL4S4A1LYiWrrvffe48SJEwQHB/Pxxx/ftK2bm5vMOi8qpcKrLly/fp3169eTnJysDhSLi4srch9vb2/8/f3x9/cnICDAaiCQTMwrhLZJYSc4fPgwvXv3Zu3atTRv3tze4djEgQMH1Euwn3/+udXZCYuzZ8+yfv16nn32Wc1OkVMdc1tVGQwGHB0d1SmJ9u3bx549e2jWrBmdO3cGChaZtxRyOp0OJycnwsPDCQgIUAs5f39/uXwqRBWmzb9WolwZDAbi4+OrzaSY+fn5jBo1CpPJxBNPPMGjjz5abLvJkyezYsUKDh48yJdffmnjKMtHdcttVWA2m0lJSSE5OZmkpCR1rrfU1FSGDx9OcHAwUFC4ZWZmWs0D5+npSd++ffH398fb25uNGzfSp08fuw9QEkLYjhR2otr58MMPOXToEP7+/nz66afFttm+fTsrVqzAwcGBl156ycYRiuoiLy+PxMREq6+kpKQSp2S6fv26WtjdddddBAUFWU2krdPpaNKkCSCrFwhRXUlhJ6qVI0eO8N577wHw6aefFjsK1mw2M2HCBADGjBkjlzDFHVMUhby8PHX+Q0VR+Prrr0lJSSm2vbOzMwEBAdSqVUv9XqtWLatVdby9vfH29rZJ/EII7ZDCTlQbRqOR0aNHYzAY6NevH08++WSx7ZYsWcI///yDl5cX//nPf2wcpdA6yyToln5sly5d4pdffqFmzZrqyFJL/zcoKNAsZ96CgoIIDAwsMgecEEKUlhR2otqYO3cu//zzDz4+PnzxxRfF/uHMzs5m8uTJALzxxhsEBQXZOkyhIUajkcTERK5du0ZCQgIJCQkkJyfTsWNH2rdvDxQUbpalt8xmszr4wbJ4vbu7uz0fghCiipHCTlQLp06dYurUqQDMnj2b0NDQYtvNnj2by5cvEx4ezvjx420YoajsDAYDSUlJagF37do1kpOTMZvNRdoWvsRqOVMXEBCgFnUA/v7+NolbCFG9SGEnaNmyJenp6eoEpVWN2WzmmWeeITc3l+7duzNq1KgS2/bq1YvNmzfzzDPPVIkzKVU9t7awd+9ejhw5QnJyMoqiFLndw8ODoKAggoOD1a/Cfd90Op2c+RVC2IwUdgJHR0dq1Khh7zAqzPz589m+fTteXl589dVXN+27dM899/Dnn38W+wdci6p6bsuT2Wxm48aNXLlyhcGDB6sDFbKzs0lKSgIKirjg4GCrQs7b21v6wwkhKg0p7ESVduXKFSZNmgTA9OnTiYiIKLZd4dn7AflDXYVlZmZy5coVrl69islkomvXrgA4ODhw8eJFUlNTuXbtmrpofdOmTalduzZBQUFSxAkhKj0p7ESV9q9//Qu9Xk+7du148cUXS2z33HPP4enpyZtvvklAQIANIxQVKT8/n2vXrqmF3JUrV8jIyFBvd3FxoUuXLmrft44dO+Lo6KjOFQeoU40IIYQWSGEnqqzff/+dn3/+GUdHR+bPn2+1HmZhhw8f5uuvv0ZRFIYMGSKFnUYpioJer+fy5cvEx8cTHx9PUlJSkcvqOp2OgIAAQkJCCAkJsRqpapncVwghtEoKO1ElZWRkMG7cOAAmTpxIy5YtS2z75ptvoigKAwcO5N5777VViOIOmUwmjEajOl9cXFwcS5YsKdLOy8uL0NBQQkNDCQkJITg4GBcXF1uHK4QQNiGFnaiSpk6dyuXLl6lbty7Tpk0rsd327dv5448/cHR05P/+7/9sGKG4E3v37mX79u20atVK7SMXFBSEk5MTtWrVonbt2tSpU4fQ0FBZnUEIUa1IYSc4cOAAbdu2Zf/+/bRp08be4dyxf/75h08++QSAefPmWS3DVJiiKOpkxKNHj6ZRo0Y2i9FWtJzbzMxMLl26RFxcHJcvX6ZXr17Url0bKBidajAYSExMVNu7urryyiuvqCs6CCFEdSSfgKJKMRgMjB07Vu0v16NHjxLbrl69mh07duDm5nbTs3rCNvR6PXFxccTFxXHp0iVSU1Otbr98+bJa2DVo0IBnnnmmyCS/UtQJIao7+RQUVcrcuXM5ePAgvr6+zJkz56ZtZ8yYARSMnLUUDMJ20tPT1TNycXFxpKWlFWkTFBREWFgYYWFh1KlTR93u5uaGm5ubDaMVQghtkMJOVBnnz59Xz7zNnDmTwMDAm7ZfsWIFM2fO5LXXXrNFeKKQX375hdOnT1tts6zQEBYWRnh4OHXq1JHiTQghykgKO1ElKIrCCy+8QE5ODl26dLnpsmEWISEhzJo1ywbRVV9Go5G///6buLg4hg4dqo5G9fX1RafTERwcTHh4uHpGzjLCVQghxO2Rwk5UCUuXLmX9+vW4uLgwb968m64OkJGRISMlK4DRaFQnAG7atClQ0Oft7NmzpKenExcXR/369QGIioqiQ4cOMu2IEEKUMynsBA4ODnh7e6uTtGpNWloa48ePBwrmpLvZ6Faz2UzHjh0JDQ3liy++IDIy0jZB2klF5lZRFJKSkjh//jwXLlzg8uXL6rxyjRs3Vo/ZqVMnnJycrPrIlTRSWQghxJ2Rwk7QqlUr9Hq9vcO4bVOnTiUxMZFGjRqp68KW5JdffuHQoUNcuHABHx8fG0VoP+WdW5PJxKlTp7h48SLnz58nMzPT6nZPT08iIiLIy8vD3d0dkNUchBDClqSwE5oWGxvL559/DsBnn3120z5aZrOZd999F4Dx48fj6+trkxi1TFEUEhMTOXfuHGfPniU+Pt5q0IOzszPh4eFERkYSERFBQEDATS+DCyGEqFg2L+zi4uIYNmwYiYmJODk5MXXqVAYNGlTidiFKYjabGTduHGazmSeeeIKHHnropu1XrFjBkSNH8PHx4dVXX7VRlNpTeO3U3NxcvvvuO6v1Vv38/KhXrx716tUjLCxM5o4TQohKxOafyE5OTsydO5dWrVqRkJBA27Zt6dOnT4nbPT09bR2i0Ijvv/+enTt34unpecvRrSaTST1b9+qrr1KzZk0bRKgt165d46+//gLgqaeeAsDd3Z3w8HCcnZ2JiIjg/PnzDBgwAGdnZ3uGKoQQogQ2L+xCQkIICQkBIDg4mICAAFJSUggLCyt2uxR2ojhpaWm8/vrrALz99ttWHfOL88svv3Ds2DFq1qypDrSozhRF4erVq+h0OvV95+rqyqVLl9DpdOTl5amXtQcPHoxOp8NgMBAfH2/PsIUQQtxCmYfKbd26lb59+xIaGopOp2PlypVF2kRHRxMZGYmbmxtRUVHs3bu32H3t378fk8lEWFhYqbYLYTF16lSSkpK4++67S1WoffvttwC88sor1WLQRHEMBgNnzpxh7dq1REdH88MPP7Bz50719po1a9KnTx+effZZq76K0mdOCCG0o8xn7LKysmjZsiWjR4/mscceK3L7Tz/9xIQJE5g3bx5RUVHMnTuXnj17cvLkSauVAFJSUhg+fDhfffWV1f1L2l6ZZGVlAQVTNlj+6OXn52MwGHBycrL6o2hp6+7urvZbMhgM5Ofn4+joaDWzflnaZmdnoygKbm5uODo6AgXziOXl5eHg4KCOSCxNW0dHRxITEwkMDMRkMmE2m3F1dVX7TplMJnJzc4vsNycnp8S2Op3OakqL3NxcTCYTLi4u6mU8k8lEVlYWLi4ut2xrNpvJyckB4PTp0+qAidmzZ2MwGADUOdEKt7Wc8f3111/5+uuv6du3L/n5+WpbRVHIzs4uMZ/Ozs6lblua3JfH66S4fJbU9tq1a+zbtw+9Xs+VK1cwGo2YTCb1+XVzc0NRFHQ6HTk5OdSrV8/q/oVfJ4X70pUl93f6Oikun2Vtm5eXh9FoLDGfZWlbltzb+zPC8hxZnp/b/Ywo7fu+Ij4j7vR1Ulw+b/d1YovPCIPBQFZWFu7u7jb5jLid3N/p66QqfUZUyn98lTsAKL/++qvVtnbt2injxo1TfzeZTEpoaKgyY8YMdVtubq7ywAMPKN9//73VfUvaXpzc3FwlPT1d/YqLi1MAJTk5WcnPz6/QL0ABlPj4eHXbu+++qwDK6NGjrdp6eHgogHLq1Cl128yZMxVAefLJJ63aBgQEKIASExOjbvviiy8UQOnbt69V24iICAVQdu7cqW5buHChAijdunWzatu4cWMFUDZu3KhuW758uQIo7du3V/bs2aMAyp49e5S2bdsqgLJy5Uq17Zo1axRAadGihdV+O3XqpADK4sWL1W2bN29WAKVBgwZWbXv37q0Aytdff63k5+crWVlZyuzZsxVACQ0NtWr72GOPKYDy8ccfq9uOHj2qAEqNGjWU9u3bK4AycOBAZdiwYQqgzJgxQ217/vx5BVCcnJys9vv8888rgPLWW2+p2xITE9V8ZmVlqdsnTJigAMqECRPUbVlZWWrbxMREdftbb72lAMrzzz9vdTwnJycFUM6fP69umzFjhgIow4YNs2rr4+OjAMrRo0fVbR9//LECKI899phV29DQUAVQ9u7dq277+uuvFUDp3bu3otfrldjYWGXZsmVKzZo1FUB5/PHHlQ8++ECJjo5W3njjDQVQHnjgAav9tmjRQgGUNWvWqNtWrlypAErbtm2VrKwsZeXKlUpWVpaag+XLl6ttN27cqABK48aNrfbbrVs3BVAWLlyobtu5c6cCKBEREVZt+/btqwDKF198oW6LiYlRACUgIMCq7ZNPPqkAysyZM9Vtp06dUgDFw8PDqu3o0aMVQHn33XfVbfHx8Wo+C7d9+eWXFUCZNGmSui01NVVtm5qaqm6fNGmSAigvv/xypfuMCA8PVwBl69atd/wZUbitrT4j8vPzlb1795b5M8LHx8eqrZY+I7KyspQRI0ZU+GdE4bYNGjRQAGXz5s3qtsWLFyuA0qlTpzJ9RhRuW10+Iwp/LhZuU95fycnJCqCkp6ffsj4q1z52+fn57N+/nylTpqjbHBwceOihh9i1axdQUAGPHDmSrl27MmzYMLVdSdtLMmPGDLUzfGEbNmyw2eSnf/75p3pZ79SpU0DBqN81a9aobUwmEwB///03QUFBABw7dgyAK1euWLXNz88HYNu2bVy8eBGAw4cPAwVnXgq3tfwXsWPHDhITEwE4ePAgAMnJyVZtLXON7d69W/2vb//+/QCkpqayfft2ALZv3056ejoA+/btU+8fGxsLgF6vt9rv9evXAYiJiVGf8+PHjwMF/10Wbls4xsLboeC/qsLbEhISADh69Ki6/cqVK2rbXbt24ebmRq9evfjxxx8BOHHihNrWEpeiKCxZsgQvLy8cHR3V5/T06dNq28LzsK1du1b9b/HcuXPqd0tbo9Gott2wYQNeXl7q/gAuXrxo9TiU/z+S9K+//sLf31+NE+Dy5ctWbS1nHbds2aLu7+jRo+rzUbhtbm4uUJAvy/Niyf3FixfVs5mFY/Dy8iIyMhJXV1cuXLgAFJwdL7xfy3x3e/fuVV+LltdBeno6GzduBGDjxo2kpqYCBa8jy3/CltdqZmam1X6Tk5PVGC2DViyPMTs726rttWvX1H1Ztl+6dAkoeH8Ubmt57MeOHVO3W+5vMpms2sbFxQEF71PLdstrHbBqe/78eQDOnj2rbrc85wDr169Xz3icPXtWvc+Nr2uw72eE5azEnj17SElJAW7/M6JwW1t+Rljeh2X5jDAYDFZtL1++DJT8GVG4bWX4jCgcd0V8RiQmJlq1teR7165dpKWlAQX5sjxPZfmMKNy2unxGFP5crEiWv/mloVMsr6zboNPp+PXXXxkwYABQ8CTWrl2bnTt30r59e7Xd66+/zpYtW9izZw/bt2+nU6dOtGjRQr39hx9+ID09vdjtzZs3L/bYeXl55OXlqb/r9XrCwsJITk6mRo0at/uQSqWyXGZRyulS7IkTJ4iKimLPnj3cfffdNrnMYjAYWLduHQ888ECpL8UmJCRwzz33kJyczPTp0/n3v/99y8ssTz31FGfOnOGrr77innvusftllvJ4nVjyaclBQEAABoOBjIwMvvnmGxwcHPD39+euu+4iNTWVAQMGsHPnTu65556bvk5udZnFycmJjRs30r17d4xGY7W4zKLlS7Hp6els2rSJPn36qNvlUmzlvhRrKUo7d+4sl2I18hmh0+nUz8WKnC1Ar9cTEBBAenr6LWscm4+K7dixI2azudjbStpeHFdX12Ino3V2dq7wqRiKmyqjpGOW1La4s4plaVvcAABnZ2erN1Zp21reSE5OTsW+YJydna0+CApvv5O2jo6O1KxZs8htJT2XM2fOJDk5mbvvvpuJEyfeNNeurq7ExMSwbt06HBwcCAsLU/97vlFx65WWtN+ytK2o14mPjw9nz57l119/pVatWowYMUJtO2DAAAIDA9X//g8cOAAUPB+WY5f0Oikpn5a2ljMGJcVVUa8TS/wV0VZruS/r68TNzQ03N7db5r4snyd3mk95nfxPSfks7nOxPP4+3Onfklt9RpSmbVXLfeHPxYqsPcqy73It7AICAnB0dFRPdVpcu3aN4ODg8jyUqGZuXGGiNIvHz5gxA4Ann3xSXXxei8xmMxcuXMDR0ZGIiAigYNogs9ms/rds+aBq3LixPUMVQghhZ+Va2Lm4uNC2bVs2bdqkXp41m81s2rSJl156qTwPVSKDwaBW0KJ0LP1CjEajzZ47y3FKczyz2cyLL76I2Wxm4MCBdOrU6Zb3O3nyJCtWrABg4sSJmntNKIpCQkICx48f5+TJk+Tk5FC7dm1CQ0OBgv/eRo8erf63XdLjK8/cliVnwv4kX9ojOSuZ2WxWL31bLkVnZGSQlpaGu7s7AQEBQMFn3aFDh9RawPLZd+N3g8GAyWRSt/Xp04fw8HCgoI/h77//ToMGDXj66afVGF555RVycnKs9pWfn89jjz1W4Tkry/7LXNhlZmZy5swZ9ffz588TGxuLn58f4eHhTJgwgREjRnDPPffQrl075s6dS1ZWFqNGjSrroUolOjqa6OhotQOyLQdPVBVxcXGEhYWxd+9erl69atNjl6bD6aZNm6wGTBTXSf1Gn376KYqicO+99xIXF6d2jK3sDAYDer2e9PR0tXMyFFy2zsrKYvXq1WUaXl8Rua3oTsKifEm+tKeicqYoinqm3/JVo0YN9TMlKSmJjIwMfH191bW0MzMzOXbsmNV9ChdEJpPJ6jbLtieffFLt/vLXX3+xd+9eoqKiePDBB4GCARMffvihup/C+7J8t8RqNpvVrlqzZs1Sr8D8/PPP/PDDD3Tr1o2XX34ZKOgzOGTIkDI/N0lJSbRt2xYoGPT02Wefcc8991itKb5gwQKrz2WLXr16VarBE2Uu7Pbt26cmBmDChAkAjBgxgoULFzJ48GCSkpJ4++23SUhIoFWrVqxbt04d7VXexo0bx7hx49Dr9fj4+NCjR48KHzxRFT333HM2PZ7BYChVh9O0tDTGjh0LFKwwMXz48Fvu+8qVK2zduhUo+BC47777yifoCmI0Gjl79ixHjx7l4sWL6sAIJycnGjRoQOPGjQkPD1c7K5dVeeW2tDkTlYPky/7MZjN5eXk4OzurfZnT09OJi4sjPz+fvLw8cnNz1cGA2dnZHDhwgIYNG2I0GtXbAKvZJj7++GP279/PmDFj6NSpE1AwqvW1115T93Xj/i0DOG4cL5mWlqaeDBk9ejSLFi1i+vTp6pmqffv2MXTo0DI/9lmzZlG3bl2gYGGD3bt30759e/r06QMUjBAeM2ZMmfcbFRVFu3btgIIRrC4uLkRERKj7zc3NVdewtnxZnn9LP7jC2yw/P/zww7Rp0wYAf39/jEYjTZs2VfcLBX+DFEWxur9Op8PHx8cmgydKq8yFXZcuXYq8MG700ksv2ezS641sMXhClJ9b5es///mPusKEZcDErfz2228YDAY6dOjAAw88UJ7hlhvLpdbDhw9z/Phxq+k0ateuTfPmzbn77ruL7eRrb/Ie0xbJV0GBlZubS05OjjoisvAyhFu3biUlJYVOnTrh5+cHFEzpsXHjRvU+he9f+OfCv/v7+7N79251v5aVl37//Xf69u0LFEybMWLEiDLF7+Liwttvv20V7x9//EHXrl3p1q0bUFDQlLTK080oiqK+PmrVqkVoaCje3t7qNn9/f9q1a4eLi4s6urS4n2/83d/fX93HwIEDadiwIa1atVK31a5dm1WrVhW5X0kFmOW7l5eXWiS/9tprvPbaa1aPx9nZWZ3+5HZ17NiRjh07Ftn+5ptvFtlmGclcZQdPCFGebmfABMDLL79s9QFSGRkMBpYuXaqe1vf29qZZs2Y0a9ZM/cMiRHVgNBrJzs4mKyuryHcvLy+ioqLUtnPmzCE1NZV//etfap+qRYsWsXjxYqv73Vhw3Xj5rEWLFuq8bgBjxozh9OnTbNu2Tf2DvmvXLt56660yPZbC857B/0ZfFp6ay9vbm1q1aqkzOxT+cnFxQa/XU7t2bXW6E1dXV6sVYgBGjRpFly5drK5GtGrVipUrV1rtz83NTd2v5XvhQqpwfzUoWMln9uzZVo/hrrvuYs+ePWV6Hm7Uvn17qynQoGDalocffviO9iuKJ4WdqJTMZjPjxo3DbDbzxBNPqP+VloZOp1MvT1QWCQkJnDlzhg4dOqDT6XBxcaFFixZkZ2fTrFkzIiIirD5ghahsFEUhKyuLzMxMMjIyrL77+fmpRYbZbGbKlClkZGTw0Ucfqf2s/vvf/xYpwLKzs4vts2TRuXNnNm/erP4+Y8YMkpKSGDRokFrYnTt3jrVr15b6cTg5ORV5r7Vq1Qp/f3+raTtatGjBmDFjcHd3x83NDXd39yI/3/h74bnOAP744w8cHBys+n0/+uijPProo8XGZjn706dPn5v+Y1rc/QMDA+nfv3+pngNRtUlhJyql77//np07d+Lp6cmsWbNKdR+TyURmZmax8zLZU15eHj/++CNGo5G6detSu3ZtgDIVq0LcDkVRyMzMJDs7m/T0dDw8PIiMjAQKJoWNjo4mIyODt99+W+3D+eGHH7J27VoyMjKsCrisrKwSu+H079+flStXAgWrDc2dO5f8/HymTJmiFnYJCQnqChXF0el0eHp64unpiYeHB56enmqsFiNGjCAnJ8fqPd6vXz/Cw8PV+1m+iivG3NzcrNY8tli2bFmRbQ8++KBVf/LbUdk+i0T1UOUKO5nuRBtuNqw/LS2N119/HYC33nqLoKCgUuX0l19+YcyYMUyYMKHMl1DKU2pqKufOnVNHWDk4ONC4cWPy8/PV2eW1SKZisA+DwcDJkyfJysqyuiy5bNkyDh06pI6iTk9PV3/OyMhQtxWe+H3o0KF888036n4t/ZP+9a9/qYPOTpw4wZYtW0qMR6fT4e3tjZeXl/pVt25dq9fFxIkTcXR0xMXFRd0+fPhwunbtqhZtljNclt9dXV2LHfFdeL/Tp08vsr1p06Y0bdq0VM+loiiV+vUr7zHtsVXOyrL/O1pSrDIoPN3JqVOnWLx4sUx3UkY5OTlcvHiRiIiIYmcQt7X58+ezZs0a6tSpw5w5c0rdV27SpEmcPHmSQYMGWc09ZAuWpWdSUlLUpX8iIyPVmdML94+xpcqW2+rIZDKRlZWlnvWynAW72VeHDh148skngYI1fUePHo2DgwM///yz+jr64IMPrDrq34yDgwOenp60b9+eF198ESh4TX7yySe4ubkxfPhw9fVx8uRJkpKSilxytJzxKqkAE0JUHMs0LqVZUkzzhZ2FZboTW6wVW9XExMSoa8W2bt3aJscsaSqG2NhY7rvvPsxmM+vWraNr166l2t/u3bvp1KkTLi4unDlzxmYrnRgMBo4dO0ZMTIy60DpAvXr16NChA7Vq1bJJHCUpz9zK9BkFRdr169dJTk7m+vXrBAYG0qhRIwCuXr3KpEmTyM/PZ+nSpep9evbsyd9//12m4wwbNowFCxYABcV5vXr18PX1Zf/+/WoB9u2333L48GFq1KhBjRo18PHxUb/7+Pjg4eHBwYMHeeSRR/Dx8ZFiTAPkPaY9tspZpV4rtqLJ0P6yK7xWrK2fu8L5MpvNjB8/HrPZzODBg+nZs2ep9/Pxxx8D8PTTTxMWFlYhsRam1+vZv38/Bw8eVEe8ubi40Lx5c9q2bWs1qaU9VURuq+p7bMeOHZw9e5akpCSSk5NJTk5Wf7Z8T01NtepnNn78eObMmQMUPMdLly7FwcEBR0dHtYO+ZZRzjRo18PX1xc/P75bfIyIirNZ3TU5OLhLvs88+e9PHYzAYiIuLK3bdUVG5VdX3WFUm050IUYzCAyZmzpxZ6vtdvHiRX3/9FfjfhNkVJSkpiT179nD8+HG175Kvry9t27alWbNmlXLeuepGURRSUlJISEjg2rVrJCQk0LBhQ+69916gYLWcRx99FJPJxOHDh9X7TZ06tdRn1vz8/KhVq5ZVAV+rVi1mzZpFQEAAZrNZLey+++47li5dWmynfSGEKG/ySSMqhcIDJqZNm2Y1eeitfP7555jNZrp160azZs0qJL6kpCS2bNnC2bNn1W0RERHce++91KtXTy5z2dC5c+c4f/488fHxxMfHc/nyZfXnq1evcu3aNXWNXItXXnlFLewslyh1Oh1Go1EtuKKionByciIwMJCAgAACAgKoVauW1feAgAD8/PyKLdKcnZ2L/cfixikwhBCiIklhJyqFqVOnkpSUROPGjXnllVdKfT+j0ci3334LoK4VWBEURVGLukaNGhEVFUVISEiFHa+6URSF1NRUTCaT2i8xISGByZMnk5WVxfLly9W2Y8aMKdWZNT8/P4KCgggODlbXlgQICAhg7dq1BAcHW81nNmPGjHJ8REIIYR9VrrCT6U7KznJ2w2g02uy5KzxEvPAKE3PnzkWn05Upjh07drB48WJ69uxZLvGbzWZOnTqFXq9X1yT09fWlS5cu1K1bV738poXXWXnm9k6G9ZvNZq5du8bFixe5ePEily5dUr8sv2dmZvLyyy+r8xaazWa+++47ALKystSVRxo2bMjVq1epXbs2oaGh1K5dW/05JCSEoKAgAgMDi1wWLxy3ZQ5Bk8mEyWQq+5OhATJ1hvZIzrRHpjupADLdyZ27cuUK8+fP59lnnyU0NNSmxzabzbzxxhucOHGCjh078u9//9umxy+OZYoQgPr162u6E7Mtc5uTk2M1pcovv/xCbGwsSUlJJCUlFbk8WpwHH3xQPWOrKAo///wz/v7+dOzYUdN5EEKIOyHTnch0J5WeZYh4QkICzz//PJ6enhw5ckRdlaE0TCaTOlv+nTCbzSQnJxMYGKhu+/333wkMDKR169YyIOL/y8/PZ9myZYSFheHl5aVOwJySkkLTpk1JTU1Fr9erZ9ZGjx7NokWL1Ps7ODhQu3ZtwsPDCQ8PJyIigoiICPX38PBwmWuvHMnUGdojOdMeme7EBmSYuHZkZmYydepUoGDAxI3LB93KiBEjyMjIYPr06TRv3rzMxzebzRw/fpwdO3aQmZnJ888/r57tffzxx8u8v6oiKyuLU6dOceLECU6ePMmJEyc4ceIEp0+fJjs7GyhYq/KXX34BCtaozMnJwWw2c/XqVRo0aADA2LFj6d69u1rA1a5dW96bdiCfidojOdMeme5ECGDx4sW3NWACID4+nmXLlmEymfi///u/Mt3XMhBi69atJCUlAeDm5kZSUhIRERFl2ldVsHHjRlatWqUWcJcuXSqxrYODA+Hh4VYTL+t0Og4cOEDt2rXVdUEBOnXqRKdOnSo0diGEENaksBN2ERsby7p16wD47LPP1Mt3pTVv3jxMJhMPPPAALVu2LPX9Ll++zJYtW7h8+TIArq6uREVF0aZNmyp/yVVRFCZMmEBMTAw//vijetl7+/btfPLJJ1ZtAwICuPvuu62+IiMjOX78OP379y/y36Nl9QUhhBD2JYWdsDmz2cwrr7yC2Wxm0KBBpV42zCIvL4/58+cDpZ/iJCkpia1bt3LmzBmgYJWAtm3bEhUVVWX6dRmNRk6ePMmhQ4c4fPgwR44cwdnZmZ9//hkoOLO2fv16jh8/zqFDh9TCrmvXrmRnZ6sFXKNGjQgICCiyf4PBoD5/QgghKicp7ITNff/99+zatQs3Nzc++uijMt//119/JTExkdDQUAYMGHDTtpmZmWzdulVdYUCn09GiRQs6dOiAt7f37YRfKVjWqN2/fz8HDhxQlzfLycmxaufp6Wm1CsKUKVMwm820atVKbdO5c2c6d+5sy/CFEEJUkCpX2Mk8dmWXmprKpk2b6NatW4WvcVp4hYnBgwcTGBhY5nzNmzcPgFGjRgHFz+9jNBo5cOAAe/bsUW9v2LAhHTp0UNfu1Nrr5OjRo3z++efExMRw+PBhdY3awjw9PWnevDnNmjWjWbNmREREsGTJErp3746vry9PPvmk2rasj1/m2NIWyZf2SM60R+axqwAyj92dO3v2LBMnTmTWrFlWM/RXhPnz57NmzRrq1KnDnDlzyjyKKD4+nnHjxuHg4MCXX35p1Ym/MLPZzPnz5zEYDLi5uREUFKSpS65Hjx5l3759tGzZUj27dvz4caZMmaK28fDwoF69etSvX1/9HhISYjUFjC1zK4QQomKUZR47zZ+xGzduHOPGjVPnsevRo4fMY1dGMTExAHTs2JHWrVtX2HEKD5j48ssvMRgMZZ77JyMjQx3VOmLECKvbkpKS8Pf3Vy87nj9/npycHBo3blxp13I1GAzExMSwZ88eRo0apY4q/euvv/j1118JDg6mT58+QMEl0+vXr9O6dWtat25NvXr1rJbEKk555lbm2NIWyZf2SM60x5bz2JWW5gu7G8n8P2VnWdDcycmpwp47s9nM+PHjMZvNDB48mO7du7NmzZoy58vPz49x48YV2b5161Z2797NQw89RJs2bQC46667yi3+8pKXl8fevXvZsmULW7duZefOnWRlZQHQpk0bunTpAsAjjzxCTk4OvXv3Vp+fmjVr8t///rdMx6uI3Mp7TFskX9ojOdMemcdOVDvff/89O3fuxNPTU10LtDx5enqiKIo6L11lkZOTw+7du9myZQtbtmxh9+7d5ObmWrXx9fXl/vvvt5rypXv37nTv3t3W4QohhNA4KexEhSs8YOKdd96hdu3at9XR9IUXXqBly5YMHToUg8FAdna2OmVH69atCQwMJCwsrFxjv10ff/wxq1atYtu2bUUGOQQGBtKpUyd1NGrTpk1veUlVCCGEKA0p7ESFmzp16m2vMGFx4sQJ5s2bh7OzMxERERw9ehQvLy+eeeYZnJ2dcXBwsFtRd/XqVf755x/69eunblu5ciWbN28GIDQ0VC3iOnfuTKNGjSptnz8hhBDaJoWdwN/fn2eeeQZ/f/9y33dsbCyff/45ULDCxO32QZg/fz6hoaE888wzHDp0CCjoc5aXl2fXvijJycnUrl0bRVFITExUR+mOGzeOxx57jB49enDXXXfZrZCryNwKIYSofKSwE0RERPD111+X+37NZjPjxo3DbDbz5JNPlnmFCYvMzEzOnj3LuHHjcHR0xN3dnYceesimo12zsrL4888/+f333zEajXz33XdAwdJbrVq1wtHRkatXr6qF3cCBA20S161UVG6FEEJUTlWusJMJiiuP7777jp07d+Ll5cWMGTOs8lLaSR0TEhJYtmwZ999/P1AwyXC3bt3w8PDAaDRWXPAUTJ/y+++/88cff/DXX3+pgx5cXFyYO3euOjXJ1q1b1XVmq/JrTyZP1RbJl/ZIzrRHJiiuADJBceWUkZGhzi84cuTIWy79dSNFUUhOTub69evq/pKSktQ53SqKXq9nz549bN++ncOHD2M2m9XbAgMDadeuHffeey/NmjWzmghYCCGEqChlmaBY84WdhWWC4uTkZJmguBJ46aWXmD9/Pk2aNOGff/4p0g/uZpM6pqSksGbNGhITE4GCfnq///47MTEx1K1bt9xjTU1N5ffff2f58uX89ddfVmcC27RpQ//+/enbty9Nmzat1oMeZPJUbZF8aY/kTHtsOUFxQEBA9Vh54kYysaP97du3j6+++gqAzz///KZnUG/M18GDB/nzzz8xGo24ubnRrFkzduzYwf33318hEw5nZWVRr149dZJgKJg65YknnmDQoEGyDFcx5D2mLZIv7ZGcaY9MUCyqLJPJxIsvvoiiKAwdOpTOnTuX6f65ubkYjUYiIyPp06cP3t7edOvWDZPJdMexKYrC/v372bJlCxMnTgQKJjbu2bMnZ8+eVYu5hg0b3vGxhBBCCHuQwk5w7do1fvzxR55++mmCgoLuaF9ff/01//zzDzVq1Cj18lcmk0ntr9auXTu8vb2LjHgtj/5siYmJREVFYTab6devn1rALVq0CHd39zvef2VUnrkVQghR+cl094L4+HgmTpxIfHz8He0nKSmJKVOmAPDee+8RHBx80/aKorBnzx6+++478vPzAdDpdDRp0gSdTsdvv/3GhQsXbisWRVHYtm2bVXEZFBTEgAEDePLJJ60GRVTVog7KL7dCCCG0Qc7YiXIzZcoUUlNTadWqFS+++OIt25vNZmJjY8nKyuL48eO0bNlSvS0zM5Onn36arKwsDh48SIsWLUoVQ3p6Oj/88APz5s3j6NGj6HQ6Bg4cqA66WLFiRbUeACGEEKJqk8JOlItdu3axYMECoGDAhJPTrV9ajo6O9OnTh8zMzCKF288//0xWVhYNGjSgefPmt9zXmTNnmDt3LgsXLlQHQri7uzNkyBCrQk6KOiGEEFWZFHbijhmNRvUM3ejRo2nfvn2JbWNjY3F3d6devXoAhIWFFTva59tvvwVg5MiRJRZjiqKwY8cOZs2axW+//YZl5p7GjRvzwgsvMGzYMGrWrHknD00IIYTQFCnsxB2bN28esbGx+Pr68sEHHxTbxmQysWnTJmJiYnB2dmbYsGEl7u/cuXNs2bIFnU7H8OHDi93Xzz//zMyZM/nnn3/U7b1792bChAl069ZNzswJIYSolqSwE3fk2rVrvPXWWwBMnz5dXSu1sOzsbFauXElcXBwA7du3x8fHp8R9fv/99wA89NBDhIWFWd32559/8tJLL3Hy5EkAXF1dGT58OOPHj6dJkybl8piEEEIIrapyhZ2sFVt2AQEBvPXWWwQEBJT5uZs4cSLp6em0bduWkSNHFrl/YmIiv/32GxkZGbi4uNC7d2/q169f4vp6iqLw448/AjBkyJBi4zl58iS+vr68+OKLvPDCCwQGBha7L3Fnub2RrGOpLZIv7ZGcaY+sFVsBZK1Y+zl69ChvvvkmOp2Ojz76qMjEvpmZmcTHx6MoCs7OztSpUwdXV9eb7vPatWu88sorKIrCggUL2LVrFzk5OfTr1w8oKPz+/vtv7rvvPsmzEEKIakHWipW1YiucwWCgXbt2HD16lLFjxxIdHW11+6FDh9i0aROKohAeHs4jjzyCm5ub1f1LWl/PMsVJamoqjz76KF5eXpw+fRp/f3+bPDZRPFnHUlskX9ojOdMeWSvWBmSNPduYO3cuR48exd/fnw8++EB9zi0TA+/atQuAZs2a0atXrxJXjrgxX9euXSMoKIjOnTujKAoPP/ww3bp1w8fHR/JaSch7TFskX9ojOdMeWStWaNqFCxeYNm0aADNnzsTPzw8omPZk7dq1HDt2DIAOHTrQoUOHUo1QPXnyJOPHj2ffvn2cPXuWGjVqoNPpWLVqVcU9ECGEEKKKkSXFRJkoisK4cePIycmhc+fOjBgxAvjfFCTHjh3DwcGB3r1707Fjx1sWdXq9ntdff53mzZuzbt06kpOTmTt3rg0eiRBCCFH1yBk7USY///wza9aswdnZmXnz5qmFm4ODAwEBAcTHx/Poo4+qS3iVxGw28/fff/P888+TkJAAFKxEYTKZeOihhyr8cQghhBBVkZyxE1y+fJkJEyZw+fLlm7bT6/W88sorQMG6sHfffbd6m06no2vXrowaNeqWRd3hw4fp0qULH3/8MQkJCTRs2JDXX38dk8lE3bp1b7pyhSib0uZWCCFE1SCFnSAxMZE5c+aQmJh403ZvvfUWV65coWHDhkyZMgW9Xs/69esxGo1AQXHn6+tb4v1zc3N56623aNOmDbt378bNzY3p06dz+PBhjh8/DlBkbVdxZ0qbWyGEEFWDXIoVpfLPP//w2WefAfDFF1/g4uLCDz/8QEpKCjqdjh49etz0/lu3bmXs2LGcOnUKgH79+tG/f3+GDRuGXq9n7dq1ADz99NMV+0CEEEKIKkzO2IlbMhqNPPfccyiKwtChQ+nWrRsODg50796doKAg7rvvvpve//XXX6dz586cOnWK4OBgfv75Z1asWKHOS7d8+XKMRiOtWrWicePGtnhIQgghRJUkhZ24pU8//ZSYmBh8fX2ZOXOmuj0yMpIRI0bccrJEy4oUzz77LMePH+exxx6zuv2nn34CCi7DCiGEEOL2yaVYcVNxcXFMnToVgHfffZeNGzfSq1cvAgICAIrtD2cwGLh06RL169cHYMyYMbRt25Y2bdoUe4yJEydSp04dBg0aVEGPQgghhKge5IyduKmXX36ZrKws2rdvj5OTE/Hx8axbt46SVqK7dOkSHTt2pGvXrqSnpwMFxV9JRR3AI488wg8//EBkZGRFPAQhhBCi2pDCThAeHs5XX31FeHi41faVK1fy22+/4eTkRK9evdT1ePv161fiyFUfHx+uX7+OXq/nyJEjtghf3ERJuRVCCFE1VblLsQaDAYPBYO8wNMXHx0ddQcLy3GVkZPDyyy8D0Lt3b1xdXfH09GTgwIG4u7tbPccGgwEnJyd0Oh0eHh6sWLGCGjVqEBYWVmIuDAYDKSkpvPnmmzzxxBO0bNmygh9l9VRcbm+X5f7y/tIGyZf2SM60x1Y5K8v+dUpJ19Q0Ijo6mujoaEwmE6dOnWLx4sV4eHjYOyzN++abb/j9998JCAjglVdewdXVlYiICFxdXa3aJSUlMXPmTDp37kyfPn3KdIzVq1fz1Vdf0ahRIz788MPyDF8IIYSoMrKzsxkyZAjp6em3HLCo+cLOwnKZMDk5+ZYPWtxcTEwM7du3x2w2M3r0aJo0acLAgQMJDQ21ardz506eeOIJEhMTCQoK4sSJE3h6epbqGAaDgXbt2nH06FE++ugjxo8fXwGPRJQng8HAxo0b6d69O87OzvYOR9yC5Et7JGfaY6uc6fV6AgICSlXYVblLsc7OzvKGuAMmk4lx48ZhNptp2bIld999NwMGDCAiIsKq3bfffstzzz2HwWCgZcuW/Prrr9SsWbPUx7l69SrHjh0DYPDgwZIzDZH3mLZIvrRHcqY9FZ2zsuxbBk8IK59//jn79u3Dzc2NRx55hN69e6vTlkDBZMUTJkxg9OjRGAwGHn/8cXbs2HHL9WFv9Ouvv6IoClFRUdKxXwghhCgnUtgJVXx8PG+88QYAvXr1olevXjRr1ky9PSsriwEDBjBnzhwApk2bxrJly0p9+bWwFStWADBw4MByiFwIIYQQIIWdAM6dO8egQYMYPnw4mZmZhIeHM2LECDp06KC2SU5OpmvXrqxevRp3d3eWLVvGO++8g4ND2V9CV69eZceOHQBFVqEQ5cuS23Pnztk7FCGEEDZQ5frYibJLS0tTz6A5ODjw3HPP8cgjj6hz1V24cIGePXty6tQp/Pz8WLVqFe3bt7/t4x0/fhxfX18CAgIICwsrl8cgimfJ7ZQpU+wdihBCCBuQwk6Qk5Oj/jxhwgQmTJiAk1PBS+PgwYP06tWLhIQEwsPDWb9+PXffffcdHa9r165cvnyZxYsX39F+hBBCCGFNCjvB7NmzAQgJCeGdd97Bzc0NKLj82qVLF9LS0mjevDnr1q0rMuXJ7XJyclLXmxVCCCFE+ZA+dtXcL7/8wq+//grA5MmTrQZCBAQE8O6779KxY0e2bt1aLkVdenp6ievMCiGEEOLOSGFXjZlMJt5++2210OrYsSOAVeH1r3/9i7///rtMc9TdzDPPPENkZCRr1qwpl/0JIYQQ4n+ksKvGvvzyS44ePWq1BNvmzZvp1KkTqamp6jZLf7s7lZOTw7p167h06RJBQUHlsk8hhBBC/I8UdtWQoijExcWpIyX/85//sG7dOsLDwxk1ahTbt29n+vTp5X7cP//8k6ysLMLCwmjTpk25718U1aBBA9atW0eDBg3sHYoQQggbkMET1dDhw4d55pln0Ov1REVFMX78eBwdHQFYtWoVH3zwAe+99165H9fSl2/AgAHqVCqiYtWoUYOePXvaOwwhhBA2IoVdNZOcnMwnn3zCvn37cHR05Msvv7S6vWnTpvzwww/lflyj0cjvv/8OFBR2QgghhCh/cim2GjEajaxYsYKff/4ZgPHjx1OrVi1atWrF33//XaHH3rFjB9evX8fPz49OnTpV6LGEEEKI6koKu2pk8+bNLFmyhLS0NMLCwnjttdd45JFHOHLkCOPHj8dkMlXYsS2XYfv27VtugzGEEEIIYU3+wlYTFy5cYNWqVWzfvh2ATz/9lGeeeYaYmBhq1arFr7/+qvazqwiDBw/GZDLRv3//CjuGEEIIUd1JYVcN5OXlsXr1an755RfMZjMDBw5k48aNrF69Gjc3N37//Xfq1atXoTG0b9/+jtaXFUIIIcStyaXYauCvv/5i06ZNxMXF4e3tTbNmzYiOjkan07Fo0SJ8fX1p3749J0+etHeoopydPHlSciuEENVIlTtjZzAYMBgM9g6j0jh//jy7du1i3bp1ADz99NP85z//AeCDDz6gX79+xMTEsHv3btLT0yvkuYuOjqZp06Z06NABZ2dnAPU4kquKlZ6eXm65lZxpi+RLeyRn2mOrnJVl/5ov7KKjo4mOjlY7/m/YsMFqJYXqzGQycf78edatW0dOTg516tRh0aJFmM1munbtyl133cWaNWs4e/YsANu3b+fq1avlGkNGRgYTJ07EbDYzf/58AgMDrW7fuHFjuR5PWKuI3ErOtEXypT2SM+2p6JxlZ2eXuq3mC7tx48Yxbtw49Ho9Pj4+9OjRgxo1atg7rEphw4YNnDt3jn379gHg7u7O5cuXad26Nb/++ivu7u4AxMTEAAVrxbZu3bpcY1iyZAlms5lmzZoxcuRIdbvBYGDjxo10795dPYsnyl955lZypi2SL+2RnGmPrXKm1+tL3Vbzhd2NnJ2d5Q0BXL58mUOHDvHbb7+hKAr169fn9OnT+Pv78+uvv1oVv5bpR5ycnMr9ubNcAu7bt2+x+5Z8VayKyK3kTFskX9ojOdOeis5ZWfYtgyeqqMDAQJKSkoiPj8fd3Z2zZ8/i4ODA0qVLiYiIsEkMRqORtWvXAvDII4/Y5JhCCCFEdSaFXRWl1+tZuHAhAC1btgRg+vTpPPTQQzaLYefOnaSlpeHv709UVJTNjiuEEEJUV1XuUmx1l5ubi6urK1OmTCE1NZWWLVuydetWNm7cSK9evYq9T+PGjTly5Ei5z2W3atUqAPr06VOhkx+LklVUboUQQlROUthVMX/88QdHjhxhwYIFQMGoYWdnZ/r06VPifdzd3WnatGm5x2IZtCGXYe2nonIrhBCicpLCrgpJT0/n4sWLLFy4EEVRCAsLo3HjxnaLZ9OmTcTExNCwYUO7xSCEEEJUJ9LHrgrx8fHB19eXS5cuodPpiIuL45NPPrFbPDqdjjZt2uDt7W23GIQQQojqRM7YVSHZ2dm8++67ALzwwgskJiYyefJku8SiKAo6nc4uxxZCCCGqKynsqoDs7GySkpL44YcfiIuLIzw8nJkzZ6oTENtabm6uuoRYdHS0nLETQgghbEQKuypg27ZtbN26ldmzZwMFa8Daq6iDguWrzp07R05ODl5eXnaLQwghhKhupI+dxl2/fp2DBw+yfv16cnNz0el0ZGZmlmkfhw8fpk6dOhw+fLhcYlq/fj0APXv2lMuxdlbeuRVCCFG5SWFnQyNHjmTAgAHlus9t27Zx+fJlDhw4ABT0bWvRokWZ9mEwGIiPj8dgMJRLTIULu8qscD4qIjeVQXnnVojK7Gbv6ar6HhfiRlLYadjVq1c5ceIEa9asQVEUAJ5//nm7rvIQHx/P4cOH0el0dO/e3W5xCCGEENWRFHYatmXLFs6cOcPZs2cB8Pf3Z/r06XaNacOGDQDcc889+Pv72zUWIYQQorqRwk6jzp8/z4ULF1i3bp26bc6cOfj6+toxqv9dhi1p+TIhhBBCVBwZFatBiqKwdetWjhw5Qnx8PAD3338/Q4cOtXNk0KJFC06cOCGFnRBCCGEHcsZOg86dO0d8fLx62VOn0/HVV19VihGob7zxBrGxsdx///32DkUIIYSoduSMncYoisKOHTs4cOAASUlJAIwZM4YmTZrc9j5btmxJeno6np6e5RWmqCQkt0IIUb3IGTuNuXDhApcuXeLPP/8EwNXVlffff/+O9uno6EiNGjVwdHS8o/3s3LmT7OzsO9qHKF/llVshhBDaIIWdhiiKws6dO9m7dy/p6ekATJ06lVq1atk5MkhLS+OBBx7Az89PPZMohBBCCNuSwk5DjEYjTk5ObNmyBQA/Pz8mTpxo56gKbNmyBbPZTERERKUoNIUQQojqSPrY2dDChQvv6P7Ozs6kpKSg1+txcXHh448/xs3NrXyCu0ObNm0CoFu3bnaOpPQK5+NOcyOEsL+bvaflPS6qCzljpyH5+fnMmDEDgFmzZvH000/bOaL/0WJhJ4QQQlQ1csZOI44ePcqmTZuIi4sjJCSEMWPGVIrpTQASEhI4duwYOp2OLl262DscIYQQotqSM3YaoNfr+f3333nnnXcAePnll8v1EuyBAwfQ6XQcOHDgtu7/119/AdCqVStZRqySudPcCiGE0BYp7DQgPz+f8+fPk5qaCsDdd99t54isWQo7uQwrhBBC2JdcitUAf39/du7cCUCbNm0YMGCAfQO6wb///W+aN29Ohw4d7B2KEEIIUa1JYacB69ev5+jRo3h5ebFp06ZK07fO4u677650ZxGFEEKI6sjml2Lj4uLo0qULTZo0oUWLFixfvly97dFHH8XX15eBAwfaOqxKyWw2s2vXLj788EMAxo4dS82aNe0blBBCCCEqLZsXdk5OTsydO5djx46xYcMGxo8fT1ZWFgCvvPIK33//va1DqrTOnTvHkiVL2Lx5Mw4ODrzwwgv2DqmI6OhovvnmG1ltQgghhKgEbF7YhYSE0KpVKwCCg4MJCAggJSUFgC5duuDt7W3rkCqtAwcOsG3bNgC8vLyoX79+hRzHwcEBb29vHBzK9nJQFIX//Oc/PPPMMxw/frxCYhN35nZzK4QQQpvK/Gm/detW+vbtS2hoKDqdjpUrVxZpEx0dTWRkJG5ubkRFRbF3795i97V//35MJhNhYWFlDryqS0tLIyYmhkOHDgEFZzMr6o9zq1at0Ov1asFdWkePHiUxMREPDw/uu+++ColN3Jnbza0QQghtKnOlkJWVRcuWLYmOji729p9++okJEyYwbdo0Dhw4QMuWLenZsyeJiYlW7VJSUhg+fDjz58+/vciruNjYWHbu3InZbMbFxYU333zT3iEVYVlt4oEHHsDFxcXO0QghhBCizKNie/fuTe/evUu8ffbs2YwdO5ZRo0YBMG/ePFavXs0333zD5MmTAcjLy2PAgAFMnjyZ+++//7YCz8vLIy8vT/1dr9cDYDAYMBgMt7XPysJoNLJv3z727dsHwODBg3FwcKh0j+vPP/8EoHPnzmWOzdK+sj0mUTLJmbZIvrRHcqY9tspZWfZfrtOd5Ofns3//fqZMmaJuc3Bw4KGHHmLXrl1AQb+skSNH0rVrV4YNG3bbx5oxYwbvvvtuke0bNmzAw8PjtvdbGaSnp7Nnzx6ys7MBeOihh1izZo2do7JmNpvZvHkzAM7Ozrcd38aNG8sxKmELkjNtkXxpj+RMeyo6Z5Z6oDTKtbBLTk7GZDIRFBRktT0oKIgTJ04AsGPHDn766SdatGih9s/74YcfaN68OQ899BAHDx4kKyuLOnXqsHz5ctq3b1/ssaZMmcKECRPU3/V6PWFhYfTo0YMaNWqU58OyuWXLlrF7924A7rnnHp566ik7R1TUoUOHyMzMxMvLi3HjxuHkVLaXksFgYOPGjXTv3h1nZ+cKilKUJ8mZtki+tEdypj22ypnlqmRp2HyC4o4dO2I2m4u9zXJprzRcXV1xdXUtst3Z2VnTb4i0tDR27drF5cuXAZg5c2alfDyWUbAdOnTA3d39tvej9XxVR5IzbZF8aY/kTHsqOmdl2Xe5FnYBAQE4Ojpy7do1q+3Xrl0jODi4PA9VZR0+fFi9bB0UFETnzp0r/Jj5+fkkJiYSGBhY6kEQQ4cOpU+fPly/fr2CoxN34nZyK4QQQrvKdf4MFxcX2rZtq46WhIK+WJs2bSrxkqr4H0VR2LVrl9UUJ7Zw5MgRwsLCOHLkSJnu5+fnR8OGDSsoKlEebje3QgghtKnMZ+wyMzM5c+aM+vv58+eJjY3Fz8+P8PBwJkyYwIgRI7jnnnto164dc+fOJSsrSx0lW9G0PCr20qVLbN++HaPRiLOzM6+88opNHovRaFS/2+q5k9FftlGeuZWcaYvkS3skZ9pTJUbF7tu3jwcffFD93TKAYcSIESxcuJDBgweTlJTE22+/TUJCAq1atWLdunVFBlSUl+joaKKjozGZTIC2R8VevXpVneKkWbNmNhsZdfbsWQC2b9/O1atXb9n+r7/+YtOmTXTt2pVu3brd0bFl9FfFKmtuS0Nypi2SL+2RnGlPZRoVq1MURanAWGxGr9fj4+NDcnKyZkfF7tu3j/vvvx+dTseePXtstlpATEwMUVFR7Nmzh9atW9+y/YgRI1iyZAlvvvkm06ZNu61jyugv2yhrbm9GcqYtki/tkZxpjy1HxQYEBJCenn7LGsfmo2IrmpZHE/34449AwYTE9957r82Oa5mqxMnJ6ZbPnaIo6vq1Dz744B0/11rOlxaUJbelJTnTFsmX9kjOtKcyjYqVlcEriZycHLWwGz16tJ2jKdnFixe5fPkyTk5Osj6sEEIIUclIYVcJZGVl8dxzz5GWlkZYWNgd91srKzc3N5o0aYKbm9st227ZsgUomDjZ09OzokMTd6gsuRVCCKF9Ve5SrBZHxR4/flxdaaJOnTqYTCZ1MIgtNGzYkNjYWODWI28sy4h17Njxjp5nGf1lG2XJ7a1IzrRF8qU9kjPtqRKjYiubqjAqNjU1VZ1C5sEHH6x068IWtn79eqDgTFB5xCmjv7RHcqYtki/tkZxpj4yKrQBaHhX7+eefM378eNq1a8e2bdvQ6XT2DqlYeXl5DB48mD179nDixAl8fHxue18y+kt7JGfaIvnSHsmZ9sioWBvQ4miin376CYAhQ4ZU6mWfnJ2dWb16NWazGQeH8umeqcV8VXeSM22RfGmP5Ex7ZFSsUH366afs2rULBwcHnnjiCXuHUyrlVdQJIYQQonzJX2g70uv1rF69GgB/f39CQkLsHNHNJSUl2TsEIYQQQtyEFHZ2dObMGXXEYo8ePewWR2ZmJrt27SIzM7PENllZWYSEhBAREUFKSooNoxN3ojS5FUIIUXVUuT52Wpru5I8//uDatWvodDrefPNNu8V97Ngx7r///psuO7V79251GhYvLy+ZOkMjSpPb0pKcaYvkS3skZ9oj051UAK1Od2IymdSluXx9fTl16hSnTp2ySyylWSh+xYoVAERERLB27dpyO7YM669YpcltWUnOtEXypT2SM+2pTNOdaL6wGzduHOPGjVOnO+nRo4cmpjs5duwYR48eBaBv37706dPHbrHExMQABZMOl3RWZ/78+QA89thj5RKrDOu3jdLktrQkZ9oi+dIeyZn22HK6k9LSfGF3I60ME9+0aRMJCQnodDqmTJli15hvtVC8oijqyhgPPPBAucaqlXxp1a1yezskZ9oi+dIeyZn2yHQn1ZzBYGDTpk1AwWjYRo0a2Tmimzt16hQpKSm4ubnRqlUre4cjhBBCiBJIYWcHFy5c4MiRIwB07tzZztHc2q5duwC49957K/UEykIIIUR1V+UuxWrBtm3buHTpEgCvvfaanaMBb29vevTogbe3d7G3N2nShJdffrnSn1kURd0qt0IIIaoWKexsTFEUVq1aBUDNmjWJioqyc0TQsGFD1q9fX+Lt7dq1o127djaMSJSXW+VWCCFE1VLlCrvKPo/d9evX1cuw9957b6WOtSLJfE3aIznTFsmX9kjOtKcyzmOnUxRFqcBYKlzheexOnTrF4sWLK/U8dpcuXeLVV1/FZDIxdepU2rZta++Qburq1aukpKTQoEEDXF1d7R2OEEIIUe1kZ2czZMgQ0tPTbzmlm+YLOwvLPHbJycmVeh67xYsXM3LkSLy9vUlOTkan09k7pJuaNm0aM2bMYNiwYSxYsKDc9ivzNWmP5ExbJF/aIznTHlvOYxcQEFCqwq7KXYqt7PP/7Ny5E4CRI0dqYoTp3r17gYIJbiviea3s+RJFSc60RfKlPZIz7ZF57KopRVHU5bh69+5t52huzWQysWfPHgDat29v52iEEEIIcStS2NnQ559/TlxcHK6urnTp0sXe4ahSU1NZvnw5qampVtuPHz9OZmYmXl5eNGnSxE7RiTtRUm6FEEJUTVLY2YiiKKxevRoAPz8/3N3d7RzR/5w/f54nnniC8+fPW223XIa95557cHR0tEdo4g6VlFshhBBVkxR2NnTu3DkA7rvvPjtHUjqWwk7msBNCCCG0QQo7G8nMzFQLuw8++MDO0ZSOpX+dFHZCCCGENlS5UbGV1aZNmzAYDNSvX5+77rrL3uGUyrx589i9ezcdO3a0dyhCCCGEKIUqV9hVxpUnFEVh3rx5AHTv3r3SxWc0GtXvhWNr06YNbdq0Acp/Vm2ZYd02Ssrt7ZCcaYvkS3skZ9pTGVee0HxhV3jlCYANGzZUupUn8vLyOHDgAAAZGRmsWbPGzhFZO3v2LADbt2/n6tWrNj32xo0bbXq86qYicis50xbJl/ZIzrSnonOWnZ1d6raaL+zGjRvHuHHj1JUnevToUelWnvj5559JSkpCp9Px9ttvU7duXXuHZOXixYscOXKEfv36ERERAcB3332HTqejZ8+eBAUFlfsxZYZ12ygut7dLcqYtki/tkZxpjy1XnigtzRd2N6qMM3Zbpjnx9fWtlP3rGjRowDfffGO1bcaMGZw7d44NGzZQp06dCjt2ZcxXVVJcbu+U5ExbJF/aIznTHll5ohpRFIVjx44BVMqirjjJycnqCN577rnHztEIIYQQorSksKtg165dU4ukRx55xM7RlM4///wDFBSivr6+do5GCCGEEKUlhV0FW7t2LWlpaTg4ODB27Fh7h1MqlomJo6Ki7ByJEEIIIcpCCrsKtnbtWgACAgIIDAy0czSlIytOCCGEENokhV0FUhSFkydPAtC4cWM7R1M6iqJIYSeEEEJolBR2FSgtLY1Lly4B0Lt3bztHU7Jr164xe/Zsrl27RlxcHMnJyTg7O9OyZUt7hybuUOHcCiGEqPqksKtAf/75J2lpaeh0OkaMGGHvcEoUHx/PxIkTiY+PJzw8nISEBDZt2oSrq6u9QxN3qHBuhRBCVH1Vbh67yrSkmGX+On9/f/z9/StNXDe6cdkpPz8/7rvvvgqNV5bOsQ1ZUqz6knxpj+RMe2RJsQpQmZcUO3r0KACBgYGVbhmxwmRJsapLlhQTki/tkZxpT2VaUkynKIpSgbHYjGVJseTk5EqxpJiiKNSuXZvk5GTGjx/PRx99ZO+QShQTE0NUVBS7d+9m5syZNGjQgAkTJlCzZs0KO6YsnWMbltzu2bOH1q1b39G+JGfaIvnSHsmZ9thySbGAgADS09NvWeNo/ozdjSrLUiypqalcv34dgAkTJlSKmEri5FTwMrh+/TorVqzA0dGRadOm2STmypKvqsqSWycnp3J7niVn2iL50h7JmfbIkmLVwK5du1AUhYYNGxIWFmbvcErlxIkTADRt2hQ3Nzc7RyOEEEKIspLCroKsWrUKgA4dOtg5klsLCQlh2rRpxMXFAdC2bVs7RyTKiyW3ISEh9g5FCCGEDUhhVwEURWHdunUAlaK/362EhITwzjvvcOrUKUAKu6rEklsp7IQQonqQwq4C6PV6Ll++DECnTp3sHE3pHThwAIA2bdrYORIhhBBC3A4p7CpAXFwcBoMBNzc3+vbta+9wSuXKlSskJCTg4OAgK04IIYQQGlXlRsVWBpa1VqOionBxcbFzNKVz/vx5vL29iYiIqDTzAAohhBCibKSwqwC7d+8GCgo7rejQoQNpaWkkJyfbOxQhhBBC3Ca5FFvOTCaTOiI2IiLCztGUjYODA4GBgfYOQwghhBC3SQq7cnbq1CmuXbsGaGd06eXLl5kwYYI64ENUHZJbIYSoXqSwK2crVqzAbDbj4eHBvffea+9wSuX48ePMmTOHsWPHYjab7R2OKEeJiYnMmTOHxMREe4cihBDCBqSwK2d79uwBICgoCAcHbTy9J0+eBAoKPK3ELIQQQoiiqtzgCYPBgMFgsNvxL1y4AECDBg3sGkdZWJYSs2XMluNo5TnSKqPRqH6/0+dacqYtki/tkZxpj61yVpb9a76wi46OJjo6GpPJBMCGDRvsNl2HoigkJCQAEBwczJo1a+wSR1nt3LkTABcXF5vHvHHjRpser7o5e/YsANu3b+fq1avlsk/JmbZIvrRHcqY9FZ2z7OzsUrfVKYqiVGAsNqPX6/Hx8SE5Odluy3gdOXJEXbXh4MGDNG7c2C5xlNVdd93FhQsXmDVrFi+//LJNjmkwGNi4cSPdu3fH2dnZJsesjmJiYoiKimLPnj20bt36jvYlOdMWyZf2SM60x1Y50+v1BAQEkJ6efssaR/Nn7G7k7OxstzfE6tWrAfD09KRFixZ2iaGscnNzuXTpEgCNGze2+XNnz3xVB05OTur38nqe/1979x4U1Xm/AfxZlqtBEBYBMaAoiMpNhaio0XoPWi8xY2IGlWibqREnKhkVkxpnmqI0aRxjtd7Sqk01GtNAjdUogxFqxijCYsQkoMEEJCJB5CIorrvv7w9/nLpcdBd297C7z2dmZ9xz3j37PTyjfD2X9zAz68K8rA8zsz7mzsyYbfNKeRPKy8sDAPTs2VPmSgx3+fJl6S7e2NhYucshEwsKCsLu3bsRFBQkdylERGQBNnfETk7NN05Y08TEDQ0NGDJkCPz9/a2qISXD+Pj44Le//a3cZRARkYWwsTORR2+csJaJiQFg7NixUKvVsJFLLYmIiOwaT8WayM8//4xffvkFADBr1iyZqzGeQqGQuwQiIiLqJDZ2JpKeng6tVgsXFxeMGTNG7nIMIoTgfElEREQ2hI2diTTPMRMQEGA1T28oLS2Fu7s7Ro4cyUeJERER2QDr6ECsQFlZGQDg+eefl7kSw128eBH379/H3bt3raYZJSIiovbxt7mJFBQUAACGDBkiax3GuHjxIgCgX79+mDt3LkpKSmSuiEytpKSE2RIR2RE2diZw79495OfnAwDCw8NlrsZwzY1d37598emnn6KmpkbegsjkampqmC0RkR1hY2cCOTk5aGxshEKhQP/+/eUux2DNjd2AAQNkroSIiIhMgY2dCXz//fcAgO7du8PT01PmagxTX18vPSCejR0REZFtYGNnAg8ePAAATJ48WeZKDFdYWAghBHr16gUvLy+5yyEiIiIT4JMnTKCwsBAAEBERIXMlhnN2dsYLL7wAlUoldylERERkImzsTMAab5yIiYnBp59+CuB/9RMREZF146nYTmpoaMB3330HAPD29pa5mo4JCQnBF198gZCQELlLIRNjtkRE9oWNXSdlZmbi/v37UCqVGDVqlNzlGKy0tBRCCACAh4cHpk6dCg8PD5mrIlNjtkRE9oWNXSfl5OQAAHr06AE3NzeZqzFMZWUl+vTpAy8vLzQ1NcldDhEREZmIzV1jp9FoLPpg+2+//RYA4OPjY9Hv7Yzm+et8fHzg4OAgS93N32ktPzNiZtaGeVkfZmZ9LJWZMdu3+sZu27Zt2LZtG7RaLQDg5MmT6Natm8W+v7S0FADg5eWFY8eOWex7O+Po0aMAAJVKJXvNmZmZsn4/GY+ZWRfmZX2YmfUxd2aNjY0Gj7X6xi4pKQlJSUmoq6uDp6cnpkyZYtHriZYsWQIAGDlyJKZNm2ax7+2M5sZuwoQJstWs0WiQmZmJyZMnw8nJSZYayDjMzLowL+vDzKyPpTKrq6szeKzVN3YtOTk5WewvRGNjI27dugUAmDhxotX8RWw+fRwdHS17zZbMi0yDmVkX5mV9mJn1MXdmxmybN090Qk5ODjQaDRwcHDBhwgS5yzGIEKLVhMpFRUWIi4tDUVGRnKWRGTBbIiL7wsauE86cOQMA8PT0tOh1fZ1x/fp11NXVwdHRUXpGbENDA77++ms0NDTIXB2ZGrMlIrIvNncq1pKaJya2pmetKpVKrFmzBrW1tXB2dpa7HCIiIjIhNnadcP36dQCAn5+fzJUYLiAgAGlpaXKXQURERGbAU7GdUFVVBQAIDg6WuRIiIiIiNnad0nxH7NChQ2WuxHDnzp3DzZs35S6DiIiIzICNXQfdu3dPmlfm17/+tczVGEar1WL8+PHw9/fHlStX5C6HiIiITIzX2HXQ1atXIYSAp6cnwsLC5C7HINeuXcPdu3fh6uqKfv36ScsHDRqEwsJCvWVkG5gtEZF9YWPXQc3zgoWFhUGhUMhcjWGa568bPHgwlEqltNzNzQ3h4eFylUVmxGyJiOwLT8V20KFDhwAA3bt3l7kSwzU/cWLw4MFGfe7EiRNQKBSPfZ08edIcJSMnJwczZsxAQEAAFAoFMjIyHjs+LS0NCoUCK1as0Fuu1Wqxbt06BAcHw83NDf3798c777wDIcRjt7dt2zb07dsXrq6uGDFiBM6fP9/JPeo65Mh1+/btiIqKgoeHBzw8PBAXF4fjx4+3GldeXo758+dDpVLBzc0NkZGRuHDhgtFjWrLlPImIAB6x67DmI3bWcrQO+N+8e4MGDTLqc2PHjsWNGzek9xEREVi6dCmWLl0qLevZs6dpimyhoaEB0dHRWLx4MebMmfPYsbm5udi5cyeioqJarfvTn/6E7du3Y9++fQgPD8eFCxewaNEieHp64vXXX29ze4cOHUJycjJ27NiBESNGYPPmzZg6dSqKiorg6+trkv2Tkxy5Pv3000hLS0NoaCiEENi3bx9mzZoFtVotHVm8ffs2Ro8ejfHjx+P48ePo2bMnrly5ojdfpCFjWrL1PImIAADCRtTW1goAora21iLf17dvXwFArFq1yiLfZwqxsbECgPjXv/7V4W1cv35dABAnT57sVC33798XGRkZ4v79+wZ/BoBIT09vc119fb0IDQ0VmZmZYty4cWL58uV666dPny4WL16st2zOnDkiISGh3e8bPny4SEpKkt5rtVoREBAgNm7caHDN1sKQXDuSmSG8vLzEhx9+KL1fs2aNGDNmzGM/Y8iYluwpTyHMlxeZDzOzPpbKzJgeh6diO6j5jtiEhASZKzGMEALff/89AOOP2D1KrVYDAIYNG2bU5zZs2AB3d3fp5eXlhXnz5sHLy0taVlpa2uG6kpKSMH36dEyaNKnN9aNGjUJWVhaKi4sBABcvXsSZM2cQHx/f5vj79+8jLy9Pb3sODg6YNGkSzp492+E6uypjc22ZZ1uvJ+Wp1Wpx8OBBNDQ0IC4uTlp+5MgRxMbGYu7cufD19cXQoUOxe/duvc8aMuZR9pYnEdkvnortgJqaGlRXVwMA+vfvL3M1hnnw4AE2bdqE7777rlM15+fnIzAwECqVyqjPLVmyBC+++KL0XqPRIDs7G+PGjYOTkxOAh0/F6IiDBw8iPz8fubm57Y5JSUlBXV0dBg4cCKVSCa1Wi9TU1HYb86qqKmi12lZPFfHz85MaZFvSXq6nTp2CWq3GG2+8obe8ZZ5taS/PS5cuIS4uDvfu3YO7uzvS09P1rvssKSnB9u3bkZycjDfffBO5ubl4/fXX4ezsjMTERIPHPMre8iQi+8XGrgOaL7hWqVRwd3eXuRrDODk54dVXX21z3aVLlxAfH4/jx48jMjLysdvJz883+mgdAHh7e8Pb21t6r9FoUFxcjJCQEKmx64iysjIsX74cmZmZcHV1bXfcJ598gv379+PAgQMIDw9HQUEBVqxYgYCAgDYbAVthaLbt5TphwgRMmDCh1fKWeRojLCwMBQUFqK2txaefforExERkZ2dLzZ1Op0NsbCw2bNgA4OEE4IWFhdixY4eUlSFjiIjsEU/FdsCRI0cAAM7OzjJXYhoajQbl5eXQaDRPHNteA7B7924MGzYMEREReOmll1qtN9ep2Ly8PFRWVmLYsGFwdHSEo6MjsrOzsWXLFjg6OkKr1QIAVq1ahZSUFMybNw+RkZFYsGABVq5ciY0bN7a5XR8fHyiVylZP6bh58yb8/f2NrlMuhmbbXq4zZ87EpUuXWi3vzKlYZ2dnhISEICYmBhs3bkR0dDQ++OADaX2vXr1a3bk9aNAgve0ZMuZRtpInEdGT8IhdB1y7dg0A0KNHD3kLMcJXX30FAIiMjISHh0eHtlFVVYWysrJWDcDt27exbds25OXlQalUoqamptVnzXUqduLEia0aj0WLFmHgwIFYs2aNNF9fY2MjHBz0/x+jVCqh0+na3K6zszNiYmKQlZWF2bNnA3h4lCgrKwvLli0zus6urL1cAeD777/HwIEDWy3vzKnYlnQ6HZqamqT3o0ePlu46b1ZcXIw+ffoYNeZR9pQnEdk3NnYd0Py/fnNN8WEOv//973H69Gn84x//wIIFCzq0jfz8fACtL7B3dHTE7du3sXr1aixevLjNCXE7eir2zp07uHr1qvT+2rVrKCgogLe3N4KCgtC9e3dERETofeapp56CSqXSWz5jxgykpqYiKCgI4eHhUKvV2LRpExYvXiyN2bp1K9LT05GVlQUASE5ORmJiImJjYzF8+HBs3rwZDQ0NWLRokSE/LqvRXq719fVwdXVtM5+Onopdu3Yt4uPjERQUhPr6ehw4cACnT5/GiRMnpDErV67EqFGjsGHDBrz44os4f/48du3ahV27dhk1xl7zJCL7xsauA5pvnAgMDJS5EsM1z2HX1tEXQ6nVavj5+bU6EtO9e3cUFhYiIyMDL774IlJTU6WjIp114cIFjB8/XnqfnJwMAEhMTMTevXsN3s5f/vIXrFu3DkuXLkVlZSUCAgLwu9/9Dm+//bY0pqqqCj/88IP0/qWXXsIvv/yCt99+GxUVFRgyZAi++OKLVhfgW7v2cr18+bLJn1pRWVmJhQsX4saNG/D09ERUVBROnDiByZMnS2OeeeYZpKenY+3atfjDH/6A4OBgbN68We9GF0PG2GueRGTnzDrxigVZch47b29vAUBs2LDB7N9lCtXV1QKAACDq6uparc/LyxMARF5eXoe2X1xcLP35tddeEwcPHnziZzhfk2V0Jttdu3aJ1NRU6T0zsy7My/owM+vDeexsQENDA2prawE8nBvNGjRP5/D000+b5RFof/zjHxEWFoahQ4dCoVBg7ty5Jv8OsrxLly61Os1NRERdG0/FGumrr76CVquFg4MDRo4cKXc5BnnSo8Sio6NRW1uLp556qkPb37dvX4drI/PqTLZbtmwxQ0VERGRObOyMdO7cOQCAp6cnXFxcZK7GMM1H7Nq7vk6pVHb4Tlnq2pgtEZF94alYIzVPsWBNvyyfdMSOiIiIbAOP2BmprKwMADo8674c3nrrLTz33HNtPkGAiIiIbAcbOyNVVVUBeDjzvbUYOXKk1VwPSERERB3HU7FGan6qQr9+/eQthIiIiKgFNnZGun37NoCHDx23Bt988w327duHy5cvy10KERERmZnFG7uysjL86le/wuDBgxEVFYXDhw9L644ePYqwsDCEhobiww8/tHRpT3Tnzh3cvXsXABAfHy9zNYbJyMjAK6+8gj//+c/tjsnPz4dCoZAeLUW2g9kSEdkXi19j5+joiM2bN2PIkCGoqKhATEwMpk2bBhcXFyQnJ+PLL7+Ep6cnYmJi8Pzzz0OlUlm6xHa5ubmhqKgIP/74o9VcY1dcXAwACAsLk7kSIiIiMjeLN3a9evWSmiJ/f3/4+PiguroaZWVlCA8PR+/evQE8PCJ28uRJvPzyy5YusV1KpRIDBgzAgAED5C7FYFeuXAEAq6qZiIiIOsboU7E5OTmYMWMGAgICoFAokJGR0WrMtm3b0LdvX7i6umLEiBE4f/58m9vKy8uDVqtFYGAgfv75Z6mpA4DevXujvLzc2PLoEUII6YhdaGiozNUQERGRuRnd2DU0NCA6Ohrbtm1rc/2hQ4eQnJyM9evXIz8/H9HR0Zg6dSoqKyv1xlVXV2PhwoXYtWtXxyqnJ7p165Z0F29ISIi8xRAREZHZGX0qNj4+/rE3DmzatAmvvvoqFi1aBADYsWMH/vOf/+Dvf/87UlJSAABNTU2YPXs2UlJSMGrUKABAQECA3hG68vJyDB8+vN3vaWpqQlNTk/S+trYWwMOGUaPRGLtbNik3NxfAw6OfjY2NaGxsbHNcc/NXU1ODW7duWaQ2jUaDxsZG3Lp1C05OThb5TntkymyZmXVhXtaHmVkfS2VWX18P4OGZuCcSnQBApKenS++bmpqEUqnUWyaEEAsXLhQzZ84UQgih0+nEvHnzxPr16/XGaDQaERISIq5fvy7q6+vFgAEDRFVVVbvfvX79egGAL7744osvvvjiyy5eZWVlT+zNTHrzRFVVFbRaLfz8/PSW+/n5SQ+i/+qrr3Do0CFERUVJ1+d99NFHiIyMxPvvv4/x48dDp9Nh9erVj70jdu3atUhOTpbe63Q6VFdXQ6VSQaFQmHK3yAzq6uoQGBiIsrIyq3rurj1jZtaFeVkfZmZ9LJWZEAL19fUICAh44liL3xU7ZswY6HS6NtfNnDkTM2fONGg7Li4ucHFx0VvWo0ePzpZHFubh4cF/wKwMM7MuzMv6MDPrY4nMPD09DRpn0gmKfXx8oFQqcfPmTb3lN2/ehL+/vym/ioiIiIhaMGlj5+zsjJiYGGRlZUnLdDodsrKyEBcXZ8qvIiIiIqIWjD4Ve+fOHVy9elV6f+3aNRQUFMDb2xtBQUFITk5GYmIiYmNjMXz4cGzevBkNDQ3SXbJEwMNT6evXr291Op26LmZmXZiX9WFm1qcrZqb4/7tbDXb69GmMHz++1fLExETs3bsXALB161a89957qKiowJAhQ7BlyxaMGDHCJAUTERERUduMbuyIiIiIqGsy6TV2RERERCQfNnZERERENoKNHZnMxo0b8cwzz6B79+7w9fXF7NmzUVRUpDfm3r17SEpKgkqlgru7O1544YVW0+OUlpZi+vTp6NatG3x9fbFq1So8ePDAkrtil9LS0qBQKLBixQppGfPqesrLyzF//nyoVCq4ubkhMjISFy5ckNYLIfD222+jV69ecHNzw6RJk3DlyhW9bVRXVyMhIQEeHh7o0aMHfvOb3+DOnTuW3hW7oNVqsW7dOgQHB8PNzQ39+/fHO++8o/doKGYmr5ycHMyYMQMBAQFQKBTSwxOamSqfb775Bs8++yxcXV0RGBiId9991zw79MRnUxAZaOrUqWLPnj2isLBQFBQUiGnTpomgoCBx584dacySJUtEYGCgyMrKEhcuXBAjR44Uo0aNktY/ePBAREREiEmTJgm1Wi2OHTsmfHx8xNq1a+XYJbtx/vx50bdvXxEVFSWWL18uLWdeXUt1dbXo06ePeOWVV8S5c+dESUmJOHHihLh69ao0Ji0tTXh6eoqMjAxx8eJFMXPmTBEcHCzu3r0rjXnuuedEdHS0+Prrr8V///tfERISIl5++WU5dsnmpaamCpVKJY4ePSquXbsmDh8+LNzd3cUHH3wgjWFm8jp27Jh46623xGeffSYAtHosqinyqa2tFX5+fiIhIUEUFhaKjz/+WLi5uYmdO3eafH/Y2JHZVFZWCgAiOztbCCFETU2NcHJyEocPH5bGfPfddwKAOHv2rBDi4V8wBwcHUVFRIY3Zvn278PDwEE1NTZbdATtRX18vQkNDRWZmphg3bpzU2DGvrmfNmjVizJgx7a7X6XTC399fvPfee9Kympoa4eLiIj7++GMhhBDffvutACByc3OlMcePHxcKhUKUl5ebr3g7NX36dLF48WK9ZXPmzBEJCQlCCGbW1bRs7EyVz1//+lfh5eWl9+/imjVrRFhYmMn3gadiyWxqa2sBAN7e3gCAvLw8aDQaTJo0SRozcOBABAUF4ezZswCAs2fPIjIyUu95w1OnTkVdXR0uX75swertR1JSEqZPn66XC8C8uqIjR44gNjYWc+fOha+vL4YOHYrdu3dL669du4aKigq9zDw9PTFixAi9zHr06IHY2FhpzKRJk+Dg4IBz585ZbmfsxKhRo5CVlYXi4mIAwMWLF3HmzBnEx8cDYGZdnanyOXv2LMaOHQtnZ2dpzNSpU1FUVITbt2+btGaLPyuW7INOp8OKFSswevRoREREAAAqKirg7Ozc6pm+fn5+qKiokMY82iQ0r29eR6Z18OBB5OfnIzc3t9U65tX1lJSUYPv27UhOTsabb76J3NxcvP7663B2dkZiYqL0M28rk0cz8/X11Vvv6OgIb29vZmYGKSkpqKurw8CBA6FUKqHVapGamoqEhAQAYGZdnKnyqaioQHBwcKttNK/z8vIyWc1s7MgskpKSUFhYiDNnzshdCrWjrKwMy5cvR2ZmJlxdXeUuhwyg0+kQGxuLDRs2AACGDh2KwsJC7NixA4mJiTJXR2355JNPsH//fhw4cADh4eEoKCjAihUrEBAQwMzILHgqlkxu2bJlOHr0KL788ks8/fTT0nJ/f3/cv38fNTU1euNv3rwJf39/aUzLuy6b3zePIdPIy8tDZWUlhg0bBkdHRzg6OiI7OxtbtmyBo6Mj/Pz8mFcX06tXLwwePFhv2aBBg1BaWgrgfz/ztjJ5NLPKykq99Q8ePEB1dTUzM4NVq1YhJSUF8+bNQ2RkJBYsWICVK1di48aNAJhZV2eqfCz5byUbOzIZIQSWLVuG9PR0nDp1qtVh55iYGDg5OSErK0taVlRUhNLSUsTFxQEA4uLicOnSJb2/JJmZmfDw8Gj1C406Z+LEibh06RIKCgqkV2xsLBISEqQ/M6+uZfTo0a2mECouLkafPn0AAMHBwfD399fLrK6uDufOndPLrKamBnl5edKYU6dOQafT8dGPZtDY2AgHB/1ftUqlEjqdDgAz6+pMlU9cXBxycnKg0WikMZmZmQgLCzPpaVgAnO6ETOe1114Tnp6e4vTp0+LGjRvSq7GxURqzZMkSERQUJE6dOiUuXLgg4uLiRFxcnLS+efqMKVOmiIKCAvHFF1+Inj17cvoMC3n0rlghmFdXc/78eeHo6ChSU1PFlStXxP79+0W3bt3EP//5T2lMWlqa6NGjh/j3v/8tvvnmGzFr1qw2p2YYOnSoOHfunDhz5owIDQ3l1BlmkpiYKHr37i1Nd/LZZ58JHx8fsXr1amkMM5NXfX29UKvVQq1WCwBi06ZNQq1Wi59++kkIYZp8ampqhJ+fn1iwYIEoLCwUBw8eFN26deN0J9S1AWjztWfPHmnM3bt3xdKlS4WXl5fo1q2beP7558WNGzf0tvPjjz+K+Ph44ebmJnx8fMQbb7whNBqNhffGPrVs7JhX1/P555+LiIgI4eLiIgYOHCh27dqlt16n04l169YJPz8/4eLiIiZOnCiKior0xty6dUu8/PLLwt3dXXh4eIhFixaJ+vp6S+6G3airqxPLly8XQUFBwtXVVfTr10+89dZbetNeMDN5ffnll23+7kpMTBRCmC6fixcvijFjxggXFxfRu3dvkZaWZpb9UQjxyPTXRERERGS1eI0dERERkY1gY0dERERkI9jYEREREdkINnZERERENoKNHREREZGNYGNHREREZCPY2BERERHZCDZ2RERERDaCjR0RERGRjWBjR0RERGQj2NgREQE4ceIEFArFY18nT5587DbGjRuHxYsX6y374YcfMGjQIEybNg11dXXm3AUiIjZ2REQAMHbsWNy4cUN6qVQqrFu3Tm/ZxIkT2/28EAJqtRrDhg2TlmVnZ2PEiBGYMmUKPv/8c3h4eFhiV4jIjjnKXQARUVfg5uYGNzc3AEB5eTlu3bqFZ599Fv7+/gZ9/sqVK6ivr5cauz179mDZsmV4//33sWTJErPVTUT0KDZ2REQtqNVqANA7+vYkeXl5cHBwQGRkJNasWYOdO3ciIyMDkydPNleZREStsLEjImohPz8fgYGBUKlURn9mwYIFOHbsGHx8fPDss8+asUoiotZ4jR0RUQv5+flGHa1r/sxPP/2Empoa5OXlobq6Gn/729/MVCERUdvY2BERtdDRxm7evHnIzMxEZGQkFi1ahHfffRcajcZMVRIRtcbGjojoEVVVVSgrKzOqsSspKUFNTQ2SkpLg5OQEAEhJScHPP/+Mjz76yFylEhG1wsaOiOgR+fn5ADp248SQIUOkZX369MH8+fORlpYGrVZr6jKJiNrExo6I6BFqtRp+fn4ICAhotW7v3r1QKBStlufn5yM0NBTu7u56y998802UlJTg0KFDZquXiOhRCiGEkLsIIiJrsH79emRnZ+P06dNyl0JE1CZOd0JEZKDjx49j69atcpdBRNQuHrEjIiIishG8xo6IiIjIRrCxIyIiIrIRbOyIiIiIbAQbOyIiIiIbwcaOiIiIyEawsSMiIiKyEWzsiIiIiGwEGzsiIiIiG8HGjoiIiMhGsLEjIiIishFs7IiIiIhsxP8BY7K4A/XyWsEAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(T, list(map(n0, T)), 'k--', label='$n_0(T)$')\n",
"ax.plot(T, list(map(nd, T)), 'k-.', label='$n_d(T)$')\n",
"ax.plot(T, list(map(nd1, T)), '-.', c='#888', label='$n_{d1}(T)$')\n",
"\n",
"ax.plot(T, [Nd]*len(T), 'k', linestyle='dotted', label='$n_{d2}(T) = N_d$')\n",
"ax.plot(T, list(map(n, T)), 'k', label='n(T)')\n",
"\n",
"ax.vlines([Ts, Ti], *ax.get_ylim(), colors='k', linestyles=(0, (5, 5)), linewidth=1)\n",
"\n",
"ax.text(Ti+(ax.get_xlim()[1]-Ti)/2, 1.3*10.0**21, 'III')\n",
"ax.text(Ts+(Ti-Ts)/2, 1.3*10.0**21, 'II')\n",
"ax.text(Ts/2, 1.3*10.0**21, 'I')\n",
"\n",
"ax.annotate('$T_s = $' + str(np.round(Ts)), (Ts+10, 1.3*10.0**20))\n",
"ax.annotate('$T_i = $' + str(np.round(Ti)), (Ti+10, 1.3*10.0**20))\n",
"\n",
"ax.set_yscale('log')\n",
"\n",
"ax.legend()\n",
"\n",
"ax.grid(which='both')\n",
"\n",
"ax.set_xlabel('$T, К$')\n",
"\n",
"# ax.set_xlim(0, 0.013)\n",
"ax.set_ylim(10.0**20, 2.3*10.0**23)\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"115.36515432619332\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def mun(T):\n",
" return 76000*10**-4*(T/300)**-2\n",
"\n",
"def mup(T):\n",
" return 5000**10**-4*(T/300)**-2.7\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(T, list(map(mun, T)), c='#999', linestyle=(7, (7, 7)), label=r'$\\mu_n(T)$')\n",
"ax.plot(T, list(map(mup, T)), c='#000', linestyle=(7, (7, 7)), label=r'$\\mu_p(T)$')\n",
"\n",
"ax.set_yscale('log')\n",
"\n",
"ax.legend()\n",
"\n",
"ax.set_xlim(50, 1000)\n",
"ax.set_ylim(ax.get_ylim()[0], 10**3)\n",
"\n",
"ax.set_xlabel('T, К')\n",
"\n",
"ax.grid(which='both')\n",
"\n",
"print(mun(77))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def sigma(T):\n",
" return e*n(T)*mun(T) + e*p0(T)*mup(T)\n",
"\n",
"def sigma0(T):\n",
" return e*n0(T)*mun(T) + e*p0(T)*mup(T)\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(T, list(map(sigma, T)), 'k', label=r'$\\sigma(T)$')\n",
"ax.plot(T, list(map(sigma0, T)), 'k--', label=r'$\\sigma_0(T)$')\n",
"\n",
"ax.set_yscale('log')\n",
"\n",
"ax.set_xlim(50, 1000)\n",
"\n",
"ax.set_xlabel('T, К')\n",
"ax.set_ylabel(r'$\\sigma(T), См$')\n",
"\n",
"ax.grid(which='both')"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.4250793089300812e-20 7.606507930893009e-19 1.689112988123594e-20 7.444598420029438e-19\n",
"0.08906745680813007 4.75406745680813 0.10556956175772461 4.6528740125183985\n",
"2.0107930893008098e-20 7.665079308930082e-19 2.0977349450367212e-20 7.348663187534218e-19\n",
"0.1256745680813006 4.7906745680813 0.13110843406479505 4.5929144922088865\n",
"6.633396123607168e-20 8.127339612360717e-19 2.7366739214353514e-20 7.108719797749712e-19\n",
"0.41458725772544797 5.079587257725447 0.17104212008970945 4.4429498735935695\n"
]
}
],
"source": [
"chi = 4.665*e\n",
"\n",
"def Phin_s(T):\n",
" return chi + EF(T)\n",
"\n",
"def Nc(T):\n",
" return 2*(mn*k0*T/(2*np.pi*h_pl**2))**(3/2)\n",
"\n",
"def EF_p(T):\n",
" return (EG+Eg)/2 + 1/2 * k0 * T * np.log(Nd/(2*Nc(T)))\n",
"\n",
"def Phin_p(T):\n",
" return chi + k0*T*np.log(Nc(T)/Nd)\n",
"\n",
"for T in (0.1*TD, TD, Tpl):\n",
" print(EF(T), Phin_s(T), EF_p(T), Phin_p(T))\n",
" print(EF(T)/e, Phin_s(T)/e, EF_p(T)/e, Phin_p(T)/e)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"4.937450473004247e-15\n",
"2.7255474336441733e-15\n",
"1.0971095076797715e-22\n"
]
},
{
"data": {
"image/png": 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gqlFGRgYDgMnNzRW8b2D2Izll4Zp4bMwEzLJoSoCuKGEyNTUVAQEBbNmrV69Qu3ZtNf+UlBQMGjSoXHLqlStX0KpVK7WlhtWqVWPj8Ek8VqEpsVV1b6pRqqCgILUtxzt37oyoqCgwDAOpVIoGDRogISEBGRkZ8PLyUtNG9f8ODg4YMWIEYmNjMWPGDMTHx+PChQv49ttvWb/79+9DLpezIwoSiQQODg4IDAxEWloa7t27h8LCQvTo0UPtHkpKStCmTRuN937r1i0UFxeje/fuOn9XHBwc8PHHH2PHjh2YM2dOufbxrbvss1UlmZctU8X98MMPy8Vt3bo1q8H69evx448/qpU3b968XL2qqcIZM2Zg/vz5yMrKYuvX5x5Uz7Hs/fCFb4yK/CnxmBKPzTnx+J9//gEABAQE6B3D2hKPLa6Tw5WqVauioKCg0nFUuSU1atTg/EWuzxlaqampGDt2LPvZzc0NOTk57Of09HTk5OSgRYsW5a49ffo0evXqpWbLzs5m44jFvHnzcOvWLXh7e6NatWpsPkVZxo8fj/feew/u7u54//33ebdZpfPvv/9e7rRebXtM8NlqYNy4cejWrRt8fX3Lte/NuuvWrYuCggJUr14dNjY2ldrfQhV3z549aNy4sVqHs+T/T3sBwPDhwzF79my23ujoaCQmJmqMuX37dshkMkyYMAGLFy/WeA9cnx9BEMKjysehTQC5Y7WdHIlEwo5mVAZVAmi1atUMNjpUUlKCf//9F/7+/qytTZs2aiuaVLkyZTtuCQkJuHv3Lj766CM1+7Vr1+Dt7S34qexvcvHiRbXP58+fR+PGjdnRHXd3d0ydOhUpKSk4fPgwioqKEBwcXC5OkyZN0LhxY3z11VeIj48vV96wYUPY29vjr7/+Qp8+fQC8fh5///03Pv/8czRv3hwODg549OgRunbtyqntqmTe48eP45NPPtHp26RJEzRo0IAdyXmTN+vu0qUL7w6xNlRx09PTERYWptbJeTPfxtnZGY0aNWLrdXV11RivsLAQc+bMQXR0dLl/Venz/AiCEB5VJ0c1kkNUjMV1cjRlasvl6qurhIQps5rDEHGuX78OuVyOVq1asWXdu3fHV199hezsbLi6uqJevXpo2rQpZs+eDTs7O7i5ueHChQv4+uuvMWzYMHTq1EktrmojNG11VnRfb9rfHIF5c4XLo0ePMG3aNIwfPx4pKSlYt24dVq5cyV537949hIeHY+vWrejQoQMePHjAxngzdmlpKZYuXYq//voLXbt2RW5urppflSpVMGHCBHz55ZdwdHTEW2+9hVWrVqGwsBCjR49GtWrV8MUXX2DatGlQKBR45513kJubi6SkJDg5ObGJ0G/em6OjI2bMmIGZM2fC1tYWb7/9Np4/f47r16+rjagxDAOGYbBgwQJcvny5XPvK1h0QEACFQoFz586Vq1upVKKoqAh2dnZsQnhhYSEYhkFRURG7Uk4ul6NatWqIjIzEnDlz4ODgwN7TX3/9BXt7e4wfP16tfWX/v6ymO3fuRLt27dCvXz81DTXdQ0XPj+vvEBf4xqjIX9PqKk28ufpDXztXmzEQol59YnC5piIfXeV8nnFZu7lpUVJSwk5XtWjRAnfv3jV5LbTZjamB2Xdy9F1dJTRCrCDRFuf8+fPw8fGBjY0N+690Pz8/+Pv7Y8eOHRg9ejQAYNeuXfj6668xZMgQyOVyNGjQAHPnzsXHH3+sFreoqAjx8fHscmNV2c6dOxEREYGXL19qbQ+f1VWDBw9Gbm4um5vz6aefYsiQIcjLy8OrV6/w4YcfYsyYMewIh2oU6s3VVSX/f9VP06ZN0bRpU+Tn57N1v7m6avbs2SgqKsKECRNQUFCAgIAAxMXFQSqVIi8vD9OnT4eTkxOWLl2KBw8ewNnZGf7+/pg2bZrayMebTJ06FUqlEvPmzcPTp0/h7u6O0aNHq62uKvn/q5fatWuHdu3aaWwfl7oVCgX7u/wmZUcbZ86ciWrVqmHYsGGYMWMGatSooTFufn4+r9VVhYWFWLBgAWsv66fP83vzd6Ky0OoqYaDVVea7uuru3bsoKSlBtWrVcOfOHUgkErPRQpvdGKur6FiHSsIY4SiByZMn49mzZ9izZ4+af1xcHBYuXIirV69qnf7QFHf9+vWIj4/H0aNH1coWLFiAxMREnDhxotLHOnTt2hXt2rXDmjVr9H4mfDGGFpXxr8iPyzOPjIyEv78/Ro0aRcc66OFPxzrQsQ7meqzDli1bMHHiRHTr1g2HDh0yCy202cva6FgHHljSsQ5FRUW4fv069u/fz67WedO/R48eePLkCTIyMuDj48M5roODA6Kjo9mXgKrs6NGjiI6OVlvRo89RAmVXWxkLQ2ohhH9Fflyeub29Pezs7LRqxNVmDGh1FT+bMaDVVea7ukqVj9OhQwf2OnPRQpudVldZOWvXrsXy5csxePBgjBw5UqPP1KlTeb9AVIm0ZXMWyiYKE6bHypUrxW4CQRAicOnSJQBgj+chuEGdHBNm1qxZmDVrltjN0IvffvtN8GFHgiAIa6S4uJhNOtZ0NiGhHYs7u4ogCIIgLIl//vkHcrkctWrVQr169cRujllBnRyCIAiCMGHenKoy5uIBS8DipqsscZ+cyvjr8tOnTJO9rE2oZ8IXc9ZCV3lltNDnfoSC9smhfXJon5zy6FOvKl+yTZs25U7xFrJeS9wnx+yXkL+5T86tW7ewc+dOrfvk+Pj4wN7eXqSWEgQhNiUlJUhPT8fTp0/Zjg5BmDrTpk3D/fv3MWvWLHTs2FHs5ghOYWEhhg0bZpAl5GbfyVFhyfvkVMZfl58+ZVz3yTHXfVn0iWPMfXL4aqHP/QgF7ZND++TQPjnl4Vvvq1evUKtWLSgUCty5cwe+vr5mo4U2O+2TUwksaZ8cIfx1+elTxmefHHPcl0WfOMbcJ4evFvrcj1DQPjn8bMaA9skxv31yUlJSoFAoULt2bTRo0ECt824uWmizG2OfHEo8JgiCIAgTJTk5GcDrpeOUdMwf6uQQBEEQhImiWllF++PoB3VyCIIgCMJEoZ2OKwd1cgiCIAjCBCkoKMD169cBvD6ziuAPdXIIs8fY+1wQBEEYg0uXLqG0tBQ+Pj7w9PQUuzlmiSidnAEDBsDFxQWDBg1ibTdv3kRAQAD7U6VKFcTHx4vRPLNnxowZ6Nu3L/s5OzsbHh4eePDggUHrHTp0KFavXm3QOgDg3r17+Oyzz9C8eXPUqlULVapUQVpamsHrJQiCMCYXLlwAAAQFBYncEvNFlE7O1KlTsX37djXbW2+9hStXruDKlSs4e/YsqlWrhu7du4vRPLNnzpw52LlzJ/t59erV6NevH/z8/PSKxzAMatasiXXr1pUrmzhxIrs51Zw5c7B48WLk5ubyriM9PR1jxoyBp6cn7O3tUa9ePUydOhVZWVlqfv/++y/atWsHhUKB2NhYXLhwAXfv3kXTpk31ujeCIAhT5fz58wBgkRsAGgtROjnBwcFwcnLSWn7o0CF069YN1apVM2KrLIeaNWuyz7ewsBA7duzAmDFj9I539+5d5ObmaszuT05ORtu2bQEALVu2RMOGDfHzzz/zin/v3j20b98et2/fxq5du3Dnzh1s2LABx48fR6dOnZCdnc36Tpo0CREREdi8eTM6duyIRo0a0YF1BEFYHAzDsJ0cGsnRH96dnMTERPTt2xeenp6QSCQap5RiYmLY3YWDgoLYcze48ssvv2Dw4MF8m0YAePHiBSQSCa5duwYAOHz4MBwcHCr1L4Hk5GTY2toiICBAzS6Xy3H16lW2kwMAffv2xZ49e3jFj4iIgL29Pf7880907doVvr6+CAsLw7Fjx/D48WPMmTMHACCTyXDy5EmUlJSgcePGcHR0RKtWrXDw4EG1eO+99x4mTZqESZMmwdnZGW5ubvj666/x5ubeR48exTvvvIOaNWuiVq1a6NOnD+7evQsAGD16NFxcXCCVSiGRSNR+Ro0aBeB1R/3zzz9Xq3fhwoVqz6i4uBhTpkxBnTp14OjoiHfffRcpKSlq15SWlmLp0qWoX78+qlWrhnfeeQdxcXE6n1dpaSlWrFiBJk2awN3dHX5+fli8eDF77y4uLti/f7/aNe+++y6kUilOnTqlse4qVarA399fre6y9xgfH19unw4/Pz+sXbuW1/1oenYLFixQe3ZlfW7evAk7Ozs1n4raTxDmjOr4EVtbW7XvWIIfvDs5MpkM/v7+iImJ0Vi+Z88eREZGYv78+UhJSYG/vz969OiBZ8+ecYqfl5eHpKQk9OrVi2/T9EImk2n9KSoq4uz76tUrTr6GJjU1FQ4ODuz0zdmzZ+Hv71+pmMnJyWjevDmqVKmiZr9+/TqKiorUljYGBgbi4sWLKC4u5hQ7Ozsbf/zxByZOnFguvoeHB4YPH449e/aAYRhkZWWBYRhs3LgRixYtwtWrVzFw4EB8+OGHuHLlitq127Ztg62tLS5evIjvvvsOUVFR2LJlC1suk8kQGRmJS5cu4fjx47CxscGAAQNQWlqKtWvXIi0tDY8fP8ZHH32Ejz76CBkZGcjIyMB3333H+bnNnDkT+/btw7Zt25CSkoKGDRti4MCBaiNTS5cuxfbt27Fhwwb8888/mDhxIkaOHInTp09rjTt79mwsW7YMc+bMwfnz5/HTTz/B3d2dLff09MTmzZvZzxcvXiw37Ve27uvXr2PatGn4+OOPddZdEfrcDxdmzpxZ7kgWTe0fOXIk/vrrr0rVRRCmgCofp3Xr1uXOYyS4w/tYh7CwMISFhWktj4qKwrhx4zB69GgAwIYNG/D7778jNjYWs2bNqjD+wYMH8f7771d4xlRxcbHaizQvLw8A/1PIq1evrrWOsLAw/Pbbb+znOnXqoLCwUKPvu+++i5MnT7Kf/fz88OLFi3J+SqVS4/VCnbZ85coVtGjRgj1e4eHDh6hbt26lTiFPTk5Gu3btyp0w/vfff8PBwQEtWrRAUVERGIaBh4cHSkpKkJmZCTc3twrv5ebNm2AYBm+99ZZG36ZNm+Lly5fIzMxkD1ScOXMmO9I3b948nD17FitXrmTzvBiGgY+PD1avXg2JRILGjRvj6tWrWLNmDcaOHQvgdfL7m2zZsgXu7u64du0aWrRoAYlEAicnJ/b3sE6dOqzvm6d7l30mqnKZTIb169cjNjYWPXr0AABs3LgRCQkJ+PHHHzFjxgwUFxdjyZIl+PPPP9GpUycwDINhw4YhOTkZGzZsQJcuXcppkZubi++++w7ff/89Ro4cyZ7T9M4777Bt6dmzJ3777Tfcv38f9erVw+bNmzF8+HCsXLmS/RsoWzfw+nf2zJkz5epW3W/Z/775u6Ipprb7KRu37LN708YwDM6cOYNz585h7NixOHXqVIXt/+9//4uePXvSKeRvQKeQm98p5OfOnQPweuk419/DytZriaeQC3p2VUlJCZKTkzF79mzWZmNjg9DQUFawivjll18wfvz4Cv2WLl2KhQsXlrOfPHlS6ynkBQUFKCkp4dQOAFAoFGznqSKUSqWar7ZzTyuKl5+fX862YMGCCkcQLly4gCZNmuDvv/9G8+bN2XoKCgpQu3Zttbh84uXn5yM5ORm9evVSa3t+fj7Onz+P5s2bsyNe+fn5bCfu1atXGu+lLKrRrcLCQo3P5s3YqtGygIAANd/27dvjyJEjbH1KpRJt27ZVq9/f3x9RUVF4+fIlpFIp7t69iyVLliA5ORnZ2dnsCzEtLQ2+vr5snao/vrJtUygUWL9+PX788UfWVlJSgrfeegt5eXm4du0a5HI5WrdurXZt27Zt8c8//yAvLw///vsvCgsL2U7Qm3HKXqdqT3JyMoqLixEUFMTe35v3qVQqYW9vj48++gg//PADJk+ejAMHDuDYsWNYuXIl+5y51K1QKFBSUsK2Q/X832xXaWkpioqKeN1PRc9O5aOqe+7cuZg5cyays7PZv7OK6tL2u1dSUoJXr14hKSkJAJCQkKDRT4W2cj52rjZjIES9+sTgco2+Wmgr46qRqWpx9OhRAICjoyMOHz6sVwx9rxFaC212lU3b4IEQCNrJefHiBZRKpdrQOQC4u7urLfENDQ1FamoqZDIZvL29sXfvXnTq1Am5ubm4ePEi9u3bV2Fds2fPRmRkJPs5Ly8PPj4+6NKlC1xdXdV8i4uL8eTJE1SrVq3cCJGulUBSqVTNPyMjQ6Nffn4+nJ2d1aZb7t27p9FXVzK16l/lZZk1axbGjRtXzi6Tydh4DRo0gL29Pf7991+MHj2ajePu7o6cnBy1uG/GezPGmzRo0ADFxcXIyclBbm4u2rZty8ZQtfPMmTPo2bMnnJycWJtqdM3NzU1ncrmK1q1bQyKR4MGDBxr979+/DxcXF9SvX599AVapUkXN197eHra2tmw7pFIp7Ozs1HxU2jg5OUEqlWL48OHw9fXFpk2b4OnpidLSUvj7+6vFcXJyYg+OK9s2qVSKYcOGsR16mUyG//73vzhz5gycnJzYZ1q9evVy16rapuoIHzp0CF5eXmp6ODg4qF2nak+tWrUAvP49erOdb7YLeL3qrXv37vDx8cH777/PXqd6dprqVqGqWyqVwt7eno3/5jNUYWNjw/pzvZ+yzw4AoqOj2Wen8rG3t0d8fDwKCwsxZcoULFmyBFKptML2y+Vyrb97RUVFbK7gX3/9hZCQEPawzjdRKBQ4efJkuXI+dq42YyBEvfrE4HJNRT66yvk847J2U9ZCLpfj/v37AIBRo0ahSZMmvGPoU6/QWmizl7W9OYUvNKKcQn7s2DGNdmdnZ2RmZnKK4eDgAAcHB8TExCAmJoYdQThz5ozWkRyZTMZrWKy0tJSTf7Vq1aBQKDiNXFTko6nc0dGx3Bd5WYqLi5Gfn49///0XjRs3ZuM0a9YMv/zyi1pcrvEAICcnBwDw/PlztRiHDh3C7du3sW7dOrURheTkZHh6eqJWrVqcnoe9vT1CQkKwfv16jB07Vq2jmJmZiZ07d2Lw4MEoKCiAjY0N3N3dcfLkSbVEvMTERDRq1EhtJOf8+fNq9ScmJqJhw4YoLCxEdnY2bt68iaioKAQGBgL4v6HhN0eg3hzJKXsvSqUSVapUUevQV6tWDUqlEvn5+ahTpw7s7e1x/Phx/Oc//wHw+ovr8uXLmDBhAvLz8+Hj4wMHBwfcunVLY2Jh2Trz8/Ph4eGBKlWq4PDhwxg5cmQ5P9XfQd26dVG/fn3MnTsXP/30E1uuuj8udSuVSpSUlLDxVSM5b9anmjricz8VPTuVT25uLubOnYsVK1agqKgIJSUlrA/fZ6eipKQERUVFbL7Dm1PMmtBWzsfO1WYMhKhXnxhcrtFXC21lXDUyRS3u3LmDoqIiVK9eHffv38fDhw95x9CnXq4+fLXQZlfZzGYkx83NDVKptFxHJTMzEx4eHkJWxRIREYGIiAjk5eXB2dmZ90iOEGgbgTF0nLL+qampkMvl6NixI2vv27cvFi1aBIVCARcXF1515ufno2XLlmjatCkWL16MmjVrws3NDYmJiVi8eDHCw8MRGhqqFufSpUvsFALXe4mJiUGXLl3w0UcfYdGiRahfvz6uX7+OWbNmwcvLC8uXL2djff7551i6dCmaNWuGNm3aYNeuXThz5gz+/vtvtZGc//3vf1iwYAHGjx+Py5cvY/PmzVi5ciU7ylKrVi3s3LkTDRs2xKNHjzBv3jwA/zfSwWUk581Rjvz8fNjb27MjDU5OTpgwYQIWLFgAT09P+Pr6YtWqVSgsLMRnn33G+kRGRmLu3LlwcHDA22+/jYyMDFy5cgU1atRgOzFvPl8nJyfMmDEDCxYsQI0aNeDv74/CwkLcuHEDY8aMYUdynJycsGLFCvz111/o1asXHj9+rHZ/murOzc1FUlISW7dUKmVHxQCw/wpTfQYAiUQCqVSKqlWrcr6fss8OgNqzU/nExcWhbdu26N27N5ycnMo9X23tt7e31zrlTSM5NJJjDiM5qlGcjh07lpuS5RpDn2toJKcC7O3t0a5dOxw/fhz9+/cH8PpfesePH8ekSZOErIrFkCM5fOAyamGIOG/6X7hwAT4+PpBKpazdz88P/v7+2LFjB5sMzqfOgoIC7Nq1C19//TWGDh0KuVyOBg0aYO7cufj444/Vrn3+/Dni4+PZZbyqsp07dyIiIgIvX77UWIeHhweOHz+OZcuWYciQIXj58iXq1KmD3r1748svv4SdnR0ba9y4ccjKysL06dPx4sULNG7cGDt27ECDBg3URgEGDx6MvLw8dOzYEVKpFJ9++imGDBnC+mzZsgWzZs2Cv78/GjVqhOXLl6NPnz68RnLeHOUAoDbSALyeUi0qKkJ4eDgKCgoQEBCAffv2wdbWlvWZMWMGatSogaVLl+LBgwdwdnaGv78/pk2bpnEkB3i9maZSqcS8efPw9OlTuLu7Y/To0Wo5Ufn5+WjWrBmaNWuGgoICNsab91dR3Uqlkv37epOyyfpffvklqlevjmHDhnG6Hy7PTqlUorCwkM27y8/PL+fD59m9WQ+N5Bg/Bo3kVNyON1Fti1GrVi2d+S/mooU2uzFGcsDwJD8/n7l8+TJz+fJlBgATFRXFXL58mXn48CHDMAyze/duxsHBgdm6dStz48YNZvz48UzNmjWZp0+f8q2KF7m5uQwAJiMjgykpKVH7ycvLY65fv87IZDJGqVQK+qNQKJiXL18yCoXCqHE0+U+cOJEZNGhQOb/du3czzZo1Y+RyOec6tZVpsqts0dHRTGhoaDmfr7/+munatavgz15bm999911mypQpomqhjx+fZ16RFhXZhPyZMmUK8+OPP1b6ORpDC5lMxly/fp3Jzs5m4uPjGZlMVu77oqSkhJHJZBrL+di52ozxI0S9+sTgck1FPrrK+TzjsnZT1qJRo0YMAObQoUNmrQVXjTIyMhgATG5uruB9A94jOZcuXUJISAj7WZX8Gx4ejq1bt2Lw4MF4/vw5+6/MgIAAHD16tFwyMiEcRUVFuH79Ovbv349FixaVK+/RowceP36Mx48fw8fHx2DtsLOzw/fff1/OfvToUY12wjKws7Njp8kIgqgcz549w507dwDQTsdCIGEYLWudzYQ3p6tu3bqFnTt3ap2u8vHxgb29vUgtNRxr1qzBd999hwEDBmDFihVqORPWSJ8+fdCqVSssXbpU7KYQJkZJSQm7k6xqrxyCMCXOnz+PZcuWwdfX12r+cVhYWIhhw4YhNzcXNWrUEDS22XdyVKgSjzMyMtjlsiqKioqQnp7OHjUhJAzDsEmhZbe8N2Qcrv66/PQp02QvaxPqmfDFnLXQVV4ZLfS5H6EQol6htSgqKsKDBw9Qt25dJCYmonv37hr/USCXy5GQkFCunI+dq80YCFGvPjG4XFORj65yPs+4rN1UtZg1axa7qa62kwXMRQtt9rK2rKws1K1b1yCdHFEO6CQIgiAIojyqY0lUO3kTlcPsR3JouoogCK7QdBVhyhQXF2P48OFQKBTYsGGDwbZeMTVouooDNF3F34+mq4SJQ9NVmqHpKpquoumq8uiq98yZM+jWrRvq1q2LBw8eaP2dNxcttNmNOV0lyo7HhsTOzq7cw1cqlZBIJLCxsYGNjbAzdKozj1TxjRWHq78uP33KNNnL2oR6JnwxZy10lVdGC33uRyiEqFdoLWxsbCCRSNQ2NtT1ktBWzsfO1WYMhKhXnxhcrtFXC21lXDUyJS1U+ze9/fbbnGYdzEULbXaVzZDP3+I6OZpOIVcoFGAYBkqlktMJ33xQDYQxHE8PFyoOV39dfvqUabKXtQn1TPhizlroKq+MFvrcj1AIUa/QWiiVSjqF3Igx6BTy8uiq9+zZswBe73RcmWem7zWWeAq52U9XccnJkUgkqFu3Ljw8PAQ5foEgCPMkPz8fT58+RUZGBsz8q4+wMEpLSzFixAjIZDKsWrUKjRo1ErtJRoNycjigKycHeH1+Vl5eHmrXro2qVasKlpvAMAx70nJl80D4xOHqr8tPnzJN9rI2oZ4JX8xZC13lldFCn/sRCiHqFUoLhmFQWFiI58+fo0aNGnB1ddUr94Byckw/D8Rcc3KuX7+ONm3aoGrVqnj+/LnONpmLFtrslJNTCbTN73l5eUEqleLFixeC1scwDF69eoUqVapU+sXKJw5Xf11++pRpspe1CfVM+GLOWugqr4wW+tyPUAhRr9BauLi4wMPDg52uopwc48SgnJzylK1XlY8TFBRUbjaCawyhrqGcHBNGU06OCjc3N7i4uLA5OkKgUCiQlJSEzp07V+okW75xuPrr8tOnTJO9rE2oZ8IXc9ZCV3lltNDnfoRCiHqF0kKVbCyVSqFQKPTOPaCcHNPPAzHXnJwzZ84AeL0/TkVtMhcttNkpJ4cHXHJyCIIgCMKUGT9+PJ49e4b58+ejTZs2YjfHqFBODgcqyskxFELN6/KNw9VfnzlUXWVc5ldNba7b0HGE0EJXOeWBkBaVhXJyTPt76uHDh2jcuDGkUimePXtW4QIZc9FCm51yciqBqcyvGisOV3995lB1lXGZAyct9POjPJDKxyAtNCOGFlyvEToPhKtGpqBFUlISAKBdu3ZwdXXVK4aQ1withTa7ymbI509nVxEEQRCEiJw+fRoAEBwcLG5DLBDq5BAEQRCEiJw6dQoAdXIMgcVNV+laXWWo+t78r7HicPXXJxteVxmfTHlTWbVg6DhCaKGrnFb0kBaVRQwtuF4j9IoerhqZihbp6em4d+8ebGxsEBgYyKk95qKFNrsxNTD7xGNaXUUQBEGYK6dOncLatWvRuHFjrFy5UuzmiIIhV1eZ/UhOREQEIiIi2NVVISEhtLqKo5+hMuVNadWCMeLQih7NiLGih7TQjBhacL1G6BU9XDUyFS0OHjwIAOjbty969eqlVwyhrhFaC232srasrCxO96APZt/JKYspZMobM44Qq0iEzpTn2zahMWctdJXTih7SorKIoQXXa4Re0cNVI7G1SExMBAC89957Bnmu+lwjtBba7CqbIZ8/JR4TBEEQhAj873//w927d2FjY4N33nlH7OZYJNTJIQiCIAgRUC0db9u2LZydnUVujWVCnRyCIAiCEAHV0vGuXbuK2xALhjo5BEEQBCECJ0+eBECdHENicYnHcjntk8PVz9B7Hoi9/4Sx4tDeLJoRY28W0kIzYmjB9Rqh92bhqpHYWty5cwd3796FVCpF586dBX+u+lwjtBba7MbUgPbJIQiCIAgjk5CQgJiYGDRt2hTLli0TuzmiQvvk6ID2yaF9crjcjyHj0N4smhFjbxbSQjNiaMH1GqH3ZuGqkdhaZGZmAgAGDhzIeX+csjFMXQtt9rI22ieHB2LveWDsOELsByL0ngd82yY05qyFrnLam4W0qCxiaMH1GqH3ZuGqkRhalJaWsknHPXv21Lt+c9FCm11lM+Tzp8RjgiAIgjAiDx48wIsXL1C9enUEBQWJ3RyLhjo5BEEQBGFErl69CuD1qioxRvSsCerkEARBEIQRSU1NBQCEhoaK3BLLhzo5BEEQBGEkioqKcP36dQDUyTEG1MkhCIIgCCNx/vx5lJSUwMPDAy1atBC7ORaPKJ2cAQMGwMXFBYMGDVKz379/HyEhIWjevDlatWoFmUwmRvMIgiAIwiAcP34cwOtTxyUSicitsXxE6eRMnToV27dvL2cfNWoUFi1ahBs3buD06dNwcHAQoXUEQRAEYRje7OQQhkeUTk5wcDCcnJzUbNevX4ednR26dOkCAHB1dYWtrcVt40MQBEFYKc+fP0dycjIAyscxFrw7OYmJiejbty88PT0hkUgQHx9fzicmJgZ+fn5wdHREUFAQLl68WGHc27dvo3r16ujbty/atm2LJUuW8G0aQRAEQZgsf/zxBxiGgZ+fHzw9PcVujlXAu5Mjk8ng7++PmJgYjeV79uxBZGQk5s+fj5SUFPj7+6NHjx549uyZzrgKhQJnzpzBDz/8gHPnziEhIQEJCQl8m0cQBEEQJsmRI0cAAO3atRO5JdYD7/mgsLAwhIWFaS2PiorCuHHjMHr0aADAhg0b8PvvvyM2NhazZs3Sep2Xlxfat28PHx8fAECvXr1w5coVdO/eXaN/cXExiouL2c95eXkAXp+JYcxTZc355GtDnyhrjict6xOHTr7WjBgnX5MWmhFDC67XCH3yNVeNjK2FUqnEH3/8AQBo27atVWihzW5MDSp1CrlEIsGBAwfQv39/AEBJSQmqVq2KuLg41gYA4eHhyMnJwcGDB1nbqVOnEB0djbi4OACvR3I6dOiAEydOwNnZGR988AE+/fRT9OnTR2PdCxYswMKFC8vZ6RRygiAIwtS4desWZs6ciapVq2LHjh2QSqViN8lkMJtTyF+8eAGlUgl3d3c1u7u7O9LS0tjPoaGhSE1NhUwmg7e3N/bu3YtOnTphyZIlePfdd8EwDN5//32tHRwAmD17NiIjI9nPeXl58PHxQZcuXeDq6irkbelEoVDg5MmTCAkJqVSiNN84XP11+elTpsle1ibUM+GLOWuhq7wyWuhzP0IhRL2khTCIoQXXa/TVQlsZV42MrYUqN7V79+6QSqVWoYU2e1lbdnY211vnjaAjOU+ePIGXlxeSkpLQqVMn1m/mzJk4ffo0Lly4UOkGlyUmJgYxMTFQKpW4desWjeQQBEEQJseMGTNw+/ZtTJo0iVZWlcFsRnLc3NwglUqRmZmpZs/MzISHh4eQVbFEREQgIiICeXl5cHZ2ppEcHn40kiNMHBo90AyN5Fi3FlyvsYaRnOfPn+POnTsAgEmTJiEtLc0qtNBmN9uRHAAICgpCYGAg1q1bBwAoLS2Fr68vJk2apDPxWF9oJIcgCIIwZU6fPo01a9bAz88Pa9euFbs5JodJjeQUFBSwPVLg9VEMV65cgaurK3x9fREZGYnw8HC0b98egYGBWLt2LWQyGbvaSmjKjuSEhISgVq1aBqlLE3K5HAkJCejevTvs7OyMFoervy4/fco02cvahHomfDFnLXSVV0YLfe5HKISol7QQBjG04HqNvlpoK+OqkTG12LNnDwDgP//5D7p37241Wmizl7VlZWVxvXXe8O7kXLp0CSEhIexnVfJveHg4tm7disGDB+P58+eYN28enj59ioCAABw9erRcMjJBEARBWDoKhYJdOq5r+xXCMFRqusoUoOkqgiAIwlS5fv065syZAycnJ2zdupWWjmvApKarTA2arqLpKi73Y8g4NEWiGZqusm4tuF5j6dNVp06dAgB88MEH6Nu3r1Vpoc1uzOkqUQ7oJAiCIAhLh2EY/PrrrwCAvn37itwa64SmqwiCIAjCAKSnp2Py5MmwtbXFjh07UKVKFbGbZJIYcrrK7Ds5KlTTVRkZGTRdxdGPpquEiUNTJJqh6Srr1oLrNZY8XbVy5UrMmTMHPXv2xKFDhzjdLxfMRQttdk3TVXXr1qWcHC7Y2dkZ9ctD6Hr5xuHqr8tPnzJN9rI20kI/Pz7PXJudq80YCFEvaSEMYmjB9Rp9tdBWxlUjQ2rx22+/AXidj2OI3wFz0UKbXWUz5N+CxXVy5HI6hZyrnz5lmuxlbUI9E76Ysxa6yiujBZ/2CY0Q9ZIWwiCGFlyv0VcLbWVcNTK0FpmZmTh//jwAoGfPnoLWay5aaLMb811h9tNVlJNDEARBmBrHjh1DdHQ0GjVqhFWrVondHJOGcnI4QDk5/P0MNb9qznkH+sShPBDNiJF7QFpoxpryQLhqZGgtPvzwQ/z222+YP38+5syZw/l+uWAuWmizl7VRTg4PzHmuW584QuQeCD2/yrdtQmPOWugqpzwQ0qKyWFMeCFeNDKFFfn4+EhISALzu7PD5HeKDuWihza6yGfJvweI6OXI55eRw9TP0/Ko55h3oE4fyQDQjRu4BaaEZa8oD4aqRIbU4ePAgiouL0bhxYzRt2lTw3wFz0UKb3ZjvCrOfrqKcHIIgCMKUWLFiBZKSkjBw4ECMGDFC7OaYPJSTwwHKyeHvZ6j5VXPOO9AnDuWBaEaM3APSQjPWlAfCVSNDaSGTyeDl5YXCwkJcuHABbdq04XW/XDAXLbTZy9ooJ4cH5jzXrU8cIXIPhJ5f5ds2oTFnLXSVUx4IaVFZrCkPhKtGQmtx/PhxFBYWon79+ujQoQMkEgnnNvPFXLTQZlfZDPm3QGdXEQRBEIRAxMXFAQAGDRqktYNDGA/q5BAEQRCEABQVFbG7HA8cOFDk1hCABU5XyeW0uoqrn6Ez5c1xBYk+cWhFj2bEWEVCWmjGmlb0cNXIEFocPnwYBQUF8PHxQZs2bXh/73LFXLTQZjfmu8LsE49pdRVBEARhCqxZswanT59G3759MXbsWLGbYzbQ6ioO0Ooq/n6GypQ35xUk+sShFT2aEWMVCWmhGWta0cNVI6G1ePXqFby8vFBQUIDTp0+jU6dOet0vF8xFC232sjZaXcUDc161oE8cIVaRCJ0pz7dtQmPOWugqpxU9pEVlsaYVPVw1EkqL+Ph4FBQUwM/PD126dKkw6diatNBmV9kM+bdAiccEQRAEUUl27twJABg6dCitqjIhqJNDEARBEJUgJycHhw8fBvC6k0OYDtTJIQiCIIhKsH//fpSUlKBly5Zo1aqV2M0h3oA6OQRBEARRCVRTVcOGDRO5JURZLC7xWC6nfXK4+hl6zwNz3AtEnzi0N4tmxNgPhLTQjDXtzcJVI6G0yMjIwIkTJwC83gCwsr97XDAXLbTZjfmuMPsl5LRPDkEQBCEWhw4dQmxsLN566y0sX75c7OaYJbRPDgdonxz+foba88Cc9wLRJw7tzaIZMfYDIS00Y017s3DVSCgtOnbsiJSUFKxZswYREREV+luTFtrsZW20Tw4PzHn/CX3iCLEfiNB7HvBtm9CYsxa6ymlvFtKisljT3ixcNarMM/nnn3+QkpICOzs7fPzxxwb5HRU6hhhaaLOrbIb8W6DEY4IgCILQg23btgEA+vTpAzc3N5FbQ2iCOjkEQRAEwRO5XI6ffvoJADBq1ChxG0NohTo5BEEQBMGTP/74A5mZmahduzbCwsLEbg6hBerkEARBEARPtm7dCgC8c3EI40KdHIIgCILgQVZWFg4dOgSApqpMHVE6OQMGDICLiwsGDRqkZvfz80Pr1q0REBCAkJAQMZpGEARBEDrZtWsX5HI52rRpg9atW4vdHEIHoiwhnzp1KsaMGcNmpr9JUlISqlevLkKrCIIgCEI3DMNgy5YtAIDw8HCRW0NUhCgjOcHBwXBychKjaoIgCILQmwsXLiA1NRUODg4YMWKE2M0hKoB3JycxMRF9+/aFp6cnJBIJ4uPjy/nExMTAz88Pjo6OCAoKwsWLFznFlkgk6Nq1Kzp06ICff/6Zb9MIgiAIwqBs3LgRAPDRRx/B1dVV5NYQFcG7kyOTyeDv74+YmBiN5Xv27EFkZCTmz5+PlJQU+Pv7o0ePHnj27FmFsc+ePYvk5GQcOnQIS5YswdWrV/k2jyAIgiAMwsuXL7Fnzx4AwKeffipyawgu8M7JCQsL07knQFRUFMaNG4fRo0cDADZs2IDff/8dsbGxmDVrls7YXl5eAIC6deuiV69eSElJ0ZrUVVxcjOLiYvZzXl4egNcbNBnzhF9zPvna0CfKmuNJy/rEoZOvNSPGacukhWas6eRrrhrpcz9bt27Fq1ev0KJFC3To0EGv52lNWmizG/NdUakDOiUSCQ4cOID+/fsDAEpKSlC1alXExcWxNuB1clZOTg4OHjzI2k6dOoXo6GjExcUBeD1CVFpaCicnJxQUFKBr167YsGEDOnTooLHuBQsWYOHCheXsdAo5QRAEITQMw2DKlClIT0/HuHHj0Lt3b7GbZDEY8hRyQVdXvXjxAkqlEu7u7mp2d3d3pKWlsZ9DQ0ORmpoKmUwGb29v7N27F+7u7hgwYAAAQKlUYty4cVo7OAAwe/ZsREZGsp/z8vLg4+ODLl26GHWeVKFQ4OTJkwgJCYGtrf6Pk28crv66/PQp02QvaxPqmfDFnLXQVV4ZLfS5H6EQol7SQhjE0ILrNfpqoa2Mq0Z87ycpKQnp6emoWrUqFi5cCGdnZ07PgO/9GiqGGFpos5e1ZWdnc7113gg6kvPkyRN4eXkhKSkJnTp1Yv1mzpyJ06dP48KFC5VucFliYmIQExMDpVKJW7du0UgOQRAEIThr1qzB6dOn0a1bN0yePFns5lgUZjOS4+bmBqlUiszMTDV7ZmYmPDw8hKyKJSIiAhEREcjLy4OzszNCQkJQq1Ytg9SlCblcjoSEBHTv3r1SW3vzjcPVX5efPmWa7GVtQj0TvpizFrrKK6OFPvcjFELUS1oIgxhacL1GXy20lXHViM/9vHjxAufPnwcALFq0SOcsQ0VYkxba7GVtWVlZXG+dN4Luk2Nvb4927drh+PHjrK20tBTHjx9XG9khCIIgCHPhxx9/RHFxMdq0aYP27duL3RyCB7ynqwoKCnDnzh0AQJs2bRAVFYWQkBC4urrC19cXe/bsQXh4ODZu3IjAwECsXbsWv/zyC9LS0srl6ggBTVcRBEEQhkKhUODTTz9FVlYWpk6dSkcOGQBDTlfx7uScOnVKo8jh4eHsqazR0dFYuXIlnj59ioCAAHz//fcICgoSpMHaUE1XpaenU+IxRz9KPBYmDiW7aoYSj61bC67XmHri8d69ezFq1CjUqVMHaWlpcHBw4HTv2rAmLbTZNSUe+/j4mEYnx9SgkRyCIAjCUMycORO3bt3C0KFDMXjwYLGbY5GY1EiOqaIaycnIyKDEY45+lHgsTBxKdtUMJR5btxZcrzHlxOMLFy6gS5cusLe3x71791CnTh1O960La9JCm11T4nHdunUN0skR5YBOgiAIgjB11q1bBwAYOnSoIB0cwviY/UgOTVcRBEEQQvPixQuMHz8epaWlWLNmDerXry92kywWmq7iAE1X8fej6Sph4tAUiWZousq6teB6jalOV3311VdYtWoVunbtioSEBE73ywVr0kKb3ZjTVcZL7zcSdnZ2Rv3yELpevnG4+uvy06dMk72sjbTQz4/PM9dm52ozBkLUS1oIgxhacL1GXy20lXHVSJNfbm4uNm3aBACIjIw0iFbWpIU2u8pmyL8Fi+vkyOV0CjlXP33KNNnL2oR6JnwxZy10lVdGCz7tExoh6iUthEEMLbheo68W2sq4aqQrbnR0NPLy8tCsWTP06NFDUL2sSQttdmO+K8x+uopycgiCIAihKC4uxvjx45Gbm0ub/xkJysnhAOXk8Pcz1PyqOecd6BOH8kA0I0buAWmhGWvKA+GqkTa/jRs3YvLkyahXrx5u3LghuE7WpIU2e1kb5eTwwJznuvWJI0TugdDzq3zbJjTmrIWucsoDIS0qizXlgXDV6M3PCoUCUVFRAIDp06cbdFbAmrTQZlfZDPm3QPvkEARBEASAPXv24P79+6hduzbGjBkjdnMIAbC4kRy5nBKPufoZOonMHJMr9YlDya6aESPBkrTQjDUlu3LVqOx/S0tLsXTpUgDApEmT2CktobEmLbTZjfmuMPucHEo8JgiCICrLuXPnsHz5clSpUgWbN29G9erVxW6S1UCJxxygxGP+foZKIjPn5Ep94lCyq2bESLAkLTRjTcmuXDV687NUKkW7du1w/fp1zJ49GwsXLuT6WHhjTVpos5e1UeIxD8w5oU+fOEIkWAqdRMa3bUJjzlroKqdkV9KislhTsitXjezs7HDgwAFcv34dzs7OmDFjhlG0sSYttNlVNkM+b0o8JgiCIKwWpVKJBQsWAHi9u7GLi4u4DSIExeJGcuRySjzm6mfoJDJzTK7UJw4lu2pGjARL0kIz1pTsylUj1X937tyJf//9Fy4uLpg4caLBtbEmLbTZjfmuMPucHEo8JgiCIPRBqVRi8uTJePLkCYYPH47//Oc/YjfJKqHEYw5Q4jF/P0MlkZlzcqU+cSjZVTNiJFiSFpqxpmRXrhrJ5XLMmjUL69atQ61atXDr1i04OTlxfRx6Y01aaLOXtVHiMQ/MOaFPnzhCJFgKnUTGt21CY85a6CqnZFfSorJYU7JrRRoVFRVh165dAIAvv/wSrq6uFd2GoFiTFtrsKpsh/xYo8ZggCIKwOqKjo/HixQt4e3tj0qRJYjeHMBDUySEIgiCsiqysLCxfvhwAsGDBAlSpUkXkFhGGgjo5BEEQhFWxePFi5Obmws/PD8OHDxe7OYQBoU4OQRAEYTXcv38f0dHRAIDw8HBIpVKRW0QYEotLPJbLaZ8crn6G3vPAHPcC0ScO7c2iGTH2AyEtNGNNe7NUpNHcuXMhl8vx3nvvoU2bNqQFDx9DvzMMgdkvIad9cgiCIAgupKWlYdasWZBIJFi9ejUaNGggdpMI0D45nKB9cvj7GWrPA3PeC0SfOLQ3i2bE2A+EtNCMNe3Nos2/qKgIAQEBuHfvHkaNGoWYmBjSgqePod4ZtE8OD8x5/wl94gixH4jQex7wbZvQmLMWusppbxbSorJY094sZW1btmzBvXv34OzsjOXLl7NlpAV/H6HfGYZ8/pR4TBAEQVg02dnZ+PrrrwEA8+bNQ506dURuEWEsqJNDEARBWDTz5s1DVlYWfH19MWHCBLGbQxgR6uQQBEEQFktqairWr18PABg3bpwoU1OEeFAnhyAIgrBISktLMWHCBJSWlmLgwIFo1aqV2E0ijAx1cgiCIAiLZMOGDTh//jycnJywatUqsZtDiIAonZwBAwbAxcUFgwYNKldWWFiIevXqYfr06SK0jCAIgrAEHj9+jFmzZgEAli1bBi8vL5FbRIiBKJ2cqVOnYvv27RrLFi9ejI4dOxq5RQRBEIQl8fnnnyM/Px8dO3akZGMrRpROTnBwMJycnMrZb9++jbS0NISFhYnQKoIgCMISOH/+PA4ePAhbW1ts2rQJNjaUmWGt8FY+MTERffv2haenJyQSCeLj48v5xMTEwM/PD46OjggKCsLFixc5xZ4+fTqWLl3Kt0kEQRAEAQB4+fIlNm3aBACYOXMmJRtbObw7OTKZDP7+/oiJidFYvmfPHkRGRmL+/PlISUmBv78/evTogWfPnumMe/DgQTRp0gRNmjTh2ySCIAiCAABERkYiOzsbjRo1wty5c8VuDiEyvI91CAsL0zmdFBUVhXHjxmH06NEAXme3//7774iNjWWTwDRx/vx57N69G3v37kVBQQHkcjlq1KiBefPmafQvLi5GcXEx+zkvLw8AnULOx8/QJ8qa4+m++sShk681I8Zpy6SFZqzl5OuDBw/i559/ho2NDTZt2gRbW9sKv59IC+4+hn5nGIJKHdApkUhw4MAB9O/fHwBQUlKCqlWrIi4ujrUBQHh4OHJycnDw4EHWdurUKURHRyMuLq5c3K1bt+LatWs6l/wtWLAACxcuLGenU8gJgiCsj9zcXEyZMgW5ubkYOHAgRowYIXaTCI4Y8hRyQQ/ofPHiBZRKJdzd3dXs7u7uSEtLYz+HhoYiNTUVMpkM3t7e2Lt3Lzp16sSrrtmzZyMyMpL9nJeXBx8fH3Tp0gWurq6VuxEeKBQKnDx5EiEhIbC11f9x8o3D1V+Xnz5lmuxlbUI9E76Ysxa6yiujhT73IxRC1EtaCIMYWnC9Rl8t3iwLDg7GqFGjkJubi+bNm2PIkCEVakRa8Pcx1DsjOzub663zRtCRnCdPnsDLywtJSUlqnZaZM2fi9OnTuHDhQqUbXJaYmBjExMRAqVTi1q1bNJJDEARhZZw+fRpr1qyBVCrFypUr0aBBA7GbRPDAbEZy3NzcIJVKkZmZqWbPzMyEh4eHkFWxREREICIiAnl5eXB2dkZISAhq1aplkLo0IZfLkZCQgO7du1fqTBS+cbj66/LTp0yTvaxNqGfCF3PWQld5ZbTQ536EQoh6SQthEEMLrtfoq4WqbPv27diyZQsAYM6cOfj00085aURa8Pcx1DsjKyuL663zRtDNA+zt7dGuXTscP36ctZWWluL48eO8p6MIgiAIQhclJSWIiopCfn4+3nnnHZ2LWwjrhPd0VUFBAe7cuQMAaNOmDaKiohASEgJXV1f4+vpiz549CA8Px8aNGxEYGIi1a9fil19+QVpaWrlcHSGg6SqCIAjrZNu2bThw4ACqV6+ONWvWoHbt2mI3idADQ05X8e7knDp1CiEhIeXs4eHh2Lp1KwAgOjoaK1euxNOnTxEQEIDvv/8eQUFBgjRYG6rpqvT0dEo85uhHicfCxKFkV81Q4rF1a8H1Gn21OHbsGD744AMAwE8//YQBAwbo9Lek7ylT00JXGdfEYx8fH9Po5JgaNJJDEARhXeTk5ODzzz9HTk4OevbsSWdTmTkmNZJjqqhGcjIyMijxmKMfJR4LE4eSXTVDicfWrQXXa/hqoVAoEBYWhtOnT6N58+aYP38++vTpU+EztqTvKVPRgksZ18TjunXrmv7qKlPAzs7OqL+wQtfLNw5Xf11++pRpspe1kRb6+fF55trsXG3GQIh6SQthEEMLrtdw1WLOnDk4ffo0qlevjl27duH+/fu8nrElfU+JrQWfMl0aGfL5W1wnRy6nYx24+hl6i25z3C5dnzhCaKGrvDJa8Gmf0AhRL2khDGJowfUaPlrs27cPK1euBABs3rwZjRo1wv379zk9Y0v6njIFLbiW8XlnGAKzn66inByCIAjLJz09HTNmzEBRURH69++PUaNGid0kQiAoJ4cDlJPD389Q86vmPNetTxzKA9GMGLkHpIVmzD0P5NChQ1iwYAFu3ryJ4OBgHD58mD18k+sztqTvKTG1MLecHEE3AyQIgiAIIVEqlVi9ejVu3rwJLy8v/PTTT0Zd8k2YN2Y/kkPTVQRBEJZLbGwsDh06BHt7e3z77bdo0qSJ2E0iBIamqzhA01X8/Wi6Spg4NEWiGZqusm4tuF6jy+fHH3/EZ599BgDYvn07hgwZUuG1NF2l/zWWOF1lcWN+5rwcUJ84XP31WfKnq4zLkk3SQj8/Ps9cm52rzRgIUS9pIQxiaMH1mrI+J06cwOTJkwEAQ4cOxZAhQ3h9T3HViLTg7yP0O8OQz59ycgiCIAiT4ubNmxg0aBAUCgUGDx6Mjz76SOwmEWaKxY3kyOW0Tw5XP0PveWCO+0/oE0cILXSVV0YLPu0TGiHqJS2EQQwtuF5T1ufJkyfo0aMHXr58iaCgIPzwww84c+YM5+8prhqRFvx9DP3OMARmn5NDiccEQRCWgUwmw5w5c/DgwQN4enpi6dKlcHZ2FrtZhIGhxGMOUOIxfz9DJZGZc0KfPnEo2VUzYiRYkhaaMYdk1y5dumDAgAFITEyEh4cHTp8+jfr16/P+nuKqEWnB38dQ7wxKPOaBOSeR6RNHiARLoZPI+LZNaMxZC13llOxKWlQWU012VSqV+OSTT5CYmAgnJyccOXKk3FJxvt9TXDUiLfj7CP3OMOTzt7hODkEQBGE+MAyDzZs34+jRo7C3t8fBgwcREBAgdrMIC8HiOjlyOSUec/UzdBKZOSb06ROHkl01I0aCJWmhGVNNdmUYBl988QWOHj0KiUSCrVu34p133uH8zPg8Y0v6njKEFlx8DP3OMARmn5NDiccEQRDmB8Mw+Omnn7Bv3z4AQEREBLp37y5yqwgxoMRjDlDiMX8/QyWRmXNCnz5xKNlVM2IkWJIWmjHFZNfFixdj4cKFAIDx48djzZo1giS7ctWItODvY6h3BiUe88Cck8j0iSNEgqXQSWR82yY05qyFrnJKdiUtKoupJLuuWLGC7eCsXLkSjRs3FjzZlatG1q6FPj5CvzMM+fxpx2OCIAjCaKxYsQJffvklAGDJkiWYOnWqyC0iLBnq5BAEQRAGh2EYLFiwgO3gzJ8/H7Nnzxa5VYSlY3HTVQRBEIRpwTAMZs2ahRUrVgB4PYJDHRzCGFAnhyAIgjAYpaWlmDZtGn744QcAwJo1a/D555+L2yjCaqBODkEQBGEQlEol1q9fj4SEBADAhg0b8Omnn4rcKsKasLhOjlxOmwFy9TP0xk7muMmWPnFoAzrNiLHpGWmhGTG0KCoqwsiRI5GQkAAbGxts2rQJI0eO5PxMuZTzecaW9D2lTwwu1withTa7MTUw+31yaDNAgiAI06KgoABLly7F9evXYWtri2nTpuHtt98Wu1mEiUKbAXKANgPk72eojZ3MeZMtfeLQBnSaEWPTM9JCM8bU4vHjx+jbty+uXbsGJycnzJgxA1988YXRNqDjqpE1aMH3GqG10GYva6PNAHlgzhs76RNHiE3PhN7YiW/bhMactdBVThvQkRaVxdBa/Pvvv+jZsycePXoEDw8PHDp0CE+ePBFlAzquGlmqFpW5RmgttNlVNkM+f9onhyAIgqg0iYmJeOedd/Do0SM0adIE586do9PECdGhTg5BEARRKf773/8iNDQU2dnZCAoKwl9//QU/Pz+xm0UQ1MkhCIIg9KO0tBRffvklxowZA7lcjo8++ggnT56Em5ub2E0jCADUySEIgiD0oKCgAB9++CG7i/G8efOwa9cuVKlSReSWEcT/YXGJxwRBEIRhSU9PR79+/XDlyhU4ODjgxx9/xPDhw8VuFkGUQ5SRnAEDBsDFxQWDBg1ibTk5OWjfvj0CAgLQsmVLbN68WYymEQRBEDo4ffo02rdvjytXrqBOnTo4efIkdXAIk0WUTs7UqVOxfft2NZuTkxMSExNx5coVXLhwAUuWLEFWVpYYzSMIgiDKwDAMDh06hJ49e+LZs2fw9/fHhQsX0KlTJ7GbRhBaEaWTExwcDCcnJzWbVCpldyouLi4GwzCwkH0KCYIgzBqZTIYRI0YgNjYWSqUSH3/8MZKSkmgFFWHy8O7kJCYmom/fvvD09IREIkF8fHw5n5iYGPj5+cHR0RFBQUG4ePEip9g5OTnw9/eHt7c3ZsyYQRn6BEEQInPnzh107NgRv/zyC6RSKdauXYvt27fT8TmEWcC7kyOTyeDv74+YmBiN5Xv27EFkZCTmz5+PlJQU+Pv7o0ePHnj27FmFsWvWrInU1FTcv38fO3fuRGZmJt/mEQRBEALx66+/on379rh27Ro8PDzwzTffYOLEiZBIJGI3jSA4wXt1VVhYGMLCwrSWR0VFYdy4cRg9ejQAYMOGDfj9998RGxuLWbNmcarD3d0d/v7+OHPmjFpy8psUFxejuLiY/ZyXlwfg9ZkYxjxV1pxPvjb0ibLmeLqvPnHo5GvNiHHaMmmhGb71lpSU4KuvvsL3338PAOjUqRN27NiBa9eumfzJ11w1MhcthIohhhba7MbUoFIHdEokEhw4cAD9+/cH8PoPo2rVqoiLi2NtABAeHo6cnBwcPHiQtZ06dQrR0dGIi4sDAGRmZqJq1apwcnJCbm4u3n77bezatQutWrXSWPeCBQuwcOHCcnY6hZwgCEJ/MjIysHr1aty5cwcA0K9fP4wYMUKU850I68CQp5ALuk/OixcvoFQq4e7urmZ3d3dHWloa+zk0NBSpqamQyWTw9vbG3r17IZVKMX78eDbhePLkyVo7OAAwe/ZsREZGsp/z8vLg4+ODLl26wNXVVcjb0olCocDJkycREhICW1v9HyffOFz9dfnpU6bJXtYm1DPhizlroau8Mlrocz9CIUS9pIUwcK133759+PLLL5GXlwdXV1ds3LgRvXr14hWDb736aqGtjKtGpq6F0DHE0EKbvawtOzub663zRtCRnCdPnsDLywtJSUlqywpnzpyJ06dP48KFC5VucFliYmIQExMDpVKJW7du0UgOQRAET4qLixEbG4s//vgDANCsWTNERkaidu3aIreMsAbMZiTHzc0NUqm0XMJwZmYmPDw8hKyKJSIiAhEREcjLy4OzszON5PDwo5EcYeLQ6IFmaCTHPLS4cuUKPvnkE/z777+QSCSYMWMG5syZw+v7Qp96ufrQSI4wMWgkR5+Ly4zkAEBQUBACAwOxbt06AK8PcPP19cWkSZM4Jx7zgUZyCIIg+KNUKnHgwAHs3r0bCoUCLi4umDp1KgICAsRuGmFlGHIkBwxP8vPzmcuXLzOXL19mADBRUVHM5cuXmYcPHzIMwzC7d+9mHBwcmK1btzI3btxgxo8fz9SsWZN5+vQp36p4kZubywBgMjIymJKSEqP9yGQyJj4+npHJZEaNw9Vfl58+ZZrsZW1CPRNr0oLvM+eqhbnrQVoYRoubN28ynTt3ZgAwAJj+/fszT548EVxPLtfoqwXfZ2xJ31PmogVXjTIyMhgATG5uruB9A95jZZcuXUJISAj7WZX8Gx4ejq1bt2Lw4MF4/vw55s2bh6dPnyIgIABHjx4tl4xMEARBGBeGYbBt2zZMmzYNBQUFcHJywpo1azBixAja+4awSCo1XWUK0HQVQRBExeTm5mL9+vU4f/48gNfJxZ9//jn9A5QQHUNOV5l9J0eFKvE4IyMDtWrVMlq9crkcCQkJ6N69e6X2keAbh6u/Lj99yjTZy9qEeiZ8MWctdJVXRgt97kcohKiXtKg8DMNgz549mDx5MnJzc2FnZ4f58+fjiy++gFQq5RxHn7ZzuUZfLbSVcdXImv4uuF4jtBba7GVtWVlZqFu3rumvriIIgiBMh6dPn2Ly5MnsRqzNmzfHf//7X7Rp00bklhGEcTD7kRyariIIglCHYRicPn0aP/74I/Lz8yGVSjFo0CAMGjSIdi4mTA6aruIATVfx96PpKmHi0BSJZmi6ShwtHj9+jIiICBw+fBgAEBAQgPXr1yMzM9MqpkgMOV2lVCpRWFgIhUIBpVLJ/qg+u7q6wtnZGQDw6tUrPH78GKpXrOq/crkcSUlJ6Nu3L7t/XFFREe7fv1/OV/VfNzc31re4uBg3btzAuXPn0KlTp3L71dSqVQuenp5sXarTBhQKRblrXFxc4O3tzd7b1atXtcZ1dnZG3bp1kZCQgNDQUNy8eVOt/M34Li4u8PPzY9uwZcsWdOzYUW2fHJWvs7MzG5umqwiCIAiNMAyDrVu3YsaMGcjLy4O9vT3mzp2LL774AgCQkJAgcguNR3Z2Ng4fPgyZTIa8vDzk5eXh5cuXuHHjBnbv3o3PPvsM7du3BwCcPHkSX331FYqKisr9KJVKxMTEYMyYMQCA48ePo0+fPlrrXbVqFaZMmQLg9SaLXbt21er77NkzzJkzBwCQlpaGwMBArb4zZ87Et99+CwBIT09HUFCQVt9JkyYhKioKAPD8+XO0a9dOq+/o0aOxceNGAEBBQYHOuIMHD0ZsbCyA1x0iXXH79OmD/fv3s5+/+OILKBQKjb7vvfcefv75Z62xKovZj+TQdBVBENZOeno6NmzYgOvXrwMAGjdujMmTJ8PX11fklgnHs2fPcOPGDbx48QJZWVnIyclBXl4ecnNzkZubi6lTp7Idl9OnT2PNmjVaY02dOpXdCuXixYtYsmSJVt8JEyagZ8+eAIDU1FTMnz9frdzGxgZSqRQ2NjYYOXIkevfuDQC4desWFixYUC6eaqn+f/7zH3Yj3YcPH2Lu3LnlfFT/7dOnD/7zn/8AeH2CwMyZM7W29/3338fw4cMBAC9fvsTnn3+u1bdr165sB66wsBCfffaZVt+OHTuy5Uqlkr1OE23atFGrd+zYsVo7Oc2bN8fkyZNpuqoiaLqKvx9NVwkTh6ZINEPTVYbXoqioCMuWLcPKlSshl8tRtWpVzJ8/H5MnT1abbjD1FT379++Hj48P7t+/j9u3b+POnTt48OABFi9ejM6dOyMhIQHPnz/HuHHjtNa1adMmjBo1CnK5HFFRUYiPj0fNmjXh5OQEZ2dnVKtWDS9evEBAQAB69eqFxo0bIyEhAQEBAbh+/TocHR1RpUoVODg4wNHREQ4ODrC1tUXNmjXZfzgrlUqUlJRAKpXC1tYWNjY2RnmOQsSg1VUWgp2dnSiJdULVyzcOV39dfvqUabKXtZEW+vnxeeba7FxtxkCIekmL8hw/fhyfffYZbt++DQDo3bs3YmJiUK9ePa3XiKHFm9c8e/YMjo6O7Ivs119/xejRo5GVlaXxunv37rFTPs2bN0dISAh8fHzg4+MDDw8PuLi44P79++jduzcaNWrEtqtVq1b48ssvy71sDx8+jF69erH/GAMAT09Pnc+s7H04OjryunddscTUojI+Qr8zDPm9ZHGdHIIgCEvm+fPn+OKLL7Bjxw4Ar1/S33//PT788EOT2bW4tLQUt2/fxrlz53DgwAGsW7cO165dQ2ZmJrZs2YKxY8cCAGrWrMl2cDw9PdGkSRM0btwYjRs3RsOGDdXyVDp06IATJ06o1aPquLRs2VKUDjxh+lhcJ0cul7M9dGPV9+Z/jRWHq78uP33KNNnL2oR6JnwxZy10lVdGCz7tExoh6iUt/o/S0lJs27YNs2fPRnZ2NiQSCSZOnIiFCxeiRo0aWnMeKltvRTEYhoFCoWA7GRcvXkTv3r2Rm5tbLoZEIsHDhw/ZGK1bt0ZSUhIePnyIfv36aZ0i0dZ2Ps/Ykr6n9InB5Rp9/y50lfF5ZxgCs8/JocRjgiAsndu3b2PTpk3s1FT9+vXx2WefoUmTJkZvS2lpKR4+fIgbN27gxo0b+Pfff9GtWzc22TU3Nxfh4eGwt7dHgwYN0LBhQ/j5+aFevXrw9fUVbLqHsBxM6hRyU4VOIefvR6eQm44WfJ85Vy3MXQ9r1+LJkyfM2LFjGYlEwgBgnJycmBUrVjCFhYVG1SI3N5dZtGgR0759e8bZ2Zk9vVz10717dzX/lJQURiaT0SnkBtBC3xh0CrmFYM7JlfrEocTj8pizFrrKTSHZVR8o8Zi/FkqlEhs3bsTcuXPx8uVLAMCIESOwfPly1K1bV+c96YLLc2EYBmlpacjIyMB7770H4PUy6dWrV7NTUNWrV0fnzp3x7rvvokuXLmjfvr1aXNWxEappCDGSXblqZE1/F1yvocRjgiAIwiD89ddfmDRpEq5cuQIA8Pf3R3R0NN555x2D1ZmZmYljx44hISEBx44dw+PHj1G/fn3cu3cPACCVShEZGYmHDx9i/PjxaNeuXbkdcQnCFKHfUoIgCBMgIyMDX375JbtqqmbNmli8eDE+/fRTXqeF8yE6Ohpbt25FcnKymt3BwQENGzZEQUEBqlevDgCYPXs2Dh8+jLZt21IHhzAbLO43lVZXcfej1VXCxLHkFT2VgVZXcbO9evUK3333HVasWIGCggJIJBKMGTMGixYtQu3atVFaWorS0lKd91MRcrkcr169woEDB9C3b1+2k3Ljxg22gxMQEID33nsPoaGhePvtt1GlShWNbTb1FT20ukr/a2h1lQlCq6sIgjBHGIbB2bNnsX37djx//hzA6+MYxo8fj8aNGwtSR3Z2Ns6fP4+///4b//zzDxQKBRYvXowWLVoAAO7evYsHDx6gXbt2qFmzpiB1EgRf6BRyDtCxDvz99CnTZC9rE+qZ8MWctdBVXhkt9LkfoRCiXkvVombNmpg1axbOnz8PAPD29sa3336LIUOG6HVUwJtkZmZi165dOHDgAM6fP483v+L9/PywatUq9OvXj3dcffTkco2+Wmgr46qRNf1dcL1GaC202cva6FgHHphzprw+cYRYRSJ0pjzftgmNOWuhq9zQK3oMhRirSExVi/T0dERFRSExMREAULVqVcyaNQtffPFFpUagS0pKYG9vDwB4/Pix2gGOHTt2RL9+/eDk5ITx48ezfvpiLit6uGpkTX8XXK8RWgttdpXNkM/f4jo5BEEQpkZBQQFWrFiBlStXoqioCBKJBOHh4Vi8eDE8PT31inn79m3s2rULe/fuRVBQELZs2QIACAwMxKBBg/Duu+9iwIAB8Pb2hlz++vgDUzn2gSCMBXVyCIIgDIRSqcT27dvx9ddfIyMjAwDQokULxMbGqp3LxJXHjx9jz5492Llzp9qKqKysLJSWlsLGxgYSiQR79+4V7B4IwpyhTg5BEITAMAyDo0eP4osvvsCDBw8AAA0aNMDSpUthb2/PbpbHh1GjRmH79u1sjo1UKkVoaCiGDBmCDz74oNK5PARhidBfBUEQhIBcunQJ3bp1Q79+/fDgwQM4Oztj5cqVuHHjBgYMGMBpykgmk2H37t0oKSlhbV5eXmAYBm+//TZiYmLw5MkTHD16FKNGjYKLi4shb4kgzBaLG8mRy2mfHK5+ht7zwBz3n9AnjjnuzWIMxNgPREwtMjIyMGzYMMTFxQEA7O3tERYWhujoaLi7u1dYb2lpKc6cOYPt27dj//79kMlk2L9/P/r06QMAmDBhAkaPHo169eqVa09FWNPeLFy1s6a/C67XCK2FNrsxNTD7JeS0Tw5BEGKSm5uLX375BX/88QcUCgUkEgm6du2KYcOGoU6dOhVen5GRgZMnT+LkyZPsfjkA4O7ujvDwcHTu3NmQzScI0aF9cjhA++Tw9zPUngfmvP+EPnHMZW8Wc9TDlLUoKSnBd999h9WrVyM/Px8AEBoaiqVLl8Lf35+TFrdv32Y35gOAGjVqYNCgQRg5ciQ6deok2Gooa9qbhevfizX9XXC9RmgttNnL2mifHB6Y854H+sQRYj8Qofc84Ns2oTFnLXSVV0YLPu0TGjH2AzGkFkqlEtu2bcM333zDrphq06YN+vfvj9mzZ2t97kqlEqdPn8bRo0fRq1cv2NnZoXnz5mjbti1q166N8PBw9O/fnz1OwRBY094sXP9erOnvgus1Qmuhza6yGfL5W1wnhyAIwhCUlpZi3759mDFjBv73v/8BAOrXr4/Fixfjww8/xNGjRzVe9+jRI+zYsQOxsbFIT0+Hg4MDFi9eDFdXVwDAuXPnKr1BH0EQmqFODkEQhA5Uy8Hnzp2LlJQUAECtWrXw9ddfY8KECXBwcCiXOFlSUoIDBw5gxYoVuHz5Mrvs28XFBR07dkRhYSHbyaEODkEYDurkEARBaOHMmTOYP38+zp49CwCoXr06evfujejoaLi5uWm9bs2aNZg1axb7OSQkBOPGjUOfPn1w4sQJdrUVQRCGhfbJIQiCKENKSgoWLlyIbt264ezZs3B0dMT06dNx69YtDB06FM7Ozqzvq1ev8PPPP+PatWusbfjw4fDy8sLAgQNx48YNnDhxAkOHDoWjo6MYt0MQVgt1cgiCIP4/N27cwMCBA9GxY0dcvnwZtra2mDBhAu7cuYOVK1eqjd5cvXoVkydPhqenJ0aPHo19+/axZd7e3rh79y5GjBiBRo0aiXErBEFApE7OgAED4OLigkGDBrG29PR0BAcHo3nz5mjdujWdvUIQhNG4d+8eRo4ciZYtW2L//v2QSCQIDg7GtWvXsH79enh5eQEAioqKcOrUKXTt2hX+/v6Ijo5GTk4OfH190axZM7y5Iwcds0AQ4iNKTs7UqVMxZswYbNu27f8aYmuLtWvXIiAgAE+fPkW7du3Qq1cvVKtWTYwmEgRhBTx58gTLly/H5s2boVAoAAAffvghvv76azx8+BANGjRQ8x84cCASEhIAvP7O+uCDDzBu3Dh07doVf/zxB53yTRAmhij/1AgODoaTk5OarW7duggICAAAeHh4wM3NDdnZ2SK0jiAIS+f58+fYunUrmjZtivXr10OhUKBHjx74+++/sW/fPrRo0QJKpRK//fYbcnJy2Ov+85//oFatWpg/fz4ePXqEuLg49OjRA1KpVLybIQhCK7w7OYmJiejbty88PT0hkUgQHx9fzicmJgZ+fn5wdHREUFAQLl68yKuO5ORkKJVK+Pj48G0eQRCEVl68eIEvv/wSjRs3Rnx8PIqKivD222/j1KlTOHr0KNq3b4/MzEwsW7YMEyZMwIcffojt27ez1w8fPhybNm3CnDlzULduXRHvhCAILvDu5MhkMvj7+yMmJkZj+Z49exAZGYn58+cjJSUF/v7+6NGjB549e8YpfnZ2NkaOHIlNmzbxbRpBEIRGsrKy8NVXX6F+/fpYsWIFCgsL0ahRIxw6dAhnzpzBu+++i8TERAwZMgQ+Pj6YN28enj9/DldXV5SWlrJx7OzsaNSGIMwI3jk5YWFhCAsL01oeFRWFcePGYfTo0QCADRs24Pfff0dsbKzavhGaKC4uRv/+/TFr1qwKD6UrLi5GcXEx+zkvLw8AnULOx8/QJ8qa4+m++sQR8+TrsnY+pzIbGjFOWy7rn52djbVr1yImJoY9XyogIABz5syBra0tunXrhlevXqFz585ITU1l4wQGBqJTp074+uuvUaNGjQp/t0kL/a8R+uRrrhqRFvx9DP3OMASVOqBTIpHgwIED6N+/P4DXu3xWrVoVcXFxrA0AwsPDkZOTg4MHD7K2U6dOITo6GnFxcQBe7yo6bNgwvPXWW1iwYEGFdS9YsAALFy4sZ6dTyAmCKCgowK+//opff/0VhYWFAF4fwTBkyBAEBgbi5cuX7I7DALBs2TJcvnwZ7777LsLCwsolHBMEYTgMeQq5oKurXrx4AaVSWW43T3d3d6SlpbGfQ0NDkZqaCplMBm9vb+zduxdKpRJ79uxB69at2TyfHTt2oFWrVhrrmj17NiIjI9nPeXl58PHxQZcuXdS+vAyNQqHAyZMnERISAltb/R8n3zhc/XX56VOmyV7WJtQz4Ys5a6GrvDJa6HM/QiFEvXxjZGVlYebMmThy5Ahyc3MBAC1btsScOXPQq1cvHD9+HD/88AOOHz+O6OhoDB8+HLa2tnjrrbfg7OzMbvJHWggTg8s1+v5daCvjqhFpwd/HUO8MQy4yEnQk58mTJ/Dy8kJSUhI6derE+s2cOROnT5/GhQsXKt3gssTExCAmJgZKpRK3bt2ikRyCsEIKCwvx66+/4tChQ5DJZAAAX19fDBkyBK1atcKpU6dw5MgRPHnyBMDr764JEyagR48eYjabIAiY0UiOm5sbpFIpMjMz1eyZmZnw8PAQsiqWiIgIREREIC8vD87OzjSSw8OPRnKEiUMjOZoxxr9Y8/PzsWHDBnz//ffsvwZ9fHywaNEihISEYNmyZfjss89QUFAAAHB2dsbIkSMxZswYPHz4kLQwcAwaySmPNWmhzW62IzkAEBQUhMDAQKxbtw4AUFpaCl9fX0yaNKnCxGN9oJEcgrA+Xr16hcOHDyM+Pp5NKPby8sLgwYPx9ttvQyqVori4GGPHjkVBQQF8fHzQu3dvdO3aFVWqVBG59QRBvIlJjeQUFBTgzp077Of79+/jypUrcHV1ha+vLyIjIxEeHo727dsjMDAQa9euhUwmY1dbCU3ZkZyQkBDUqlXLIHVpQi6XIyEhAd27d4ednZ3R4nD11+WnT5kme1mbUM+EL+asha7yymihz/0IhRD1lo2Rl5eH9evX47vvvsOLFy8AAI0aNUJkZCQKCgpw6tQpdOnShfUvKCiAl5cXQkJC1HYjJi2ME4PLNfpqoa2Mq0akBX8fQ70zsrKyuN46b3h3ci5duoSQkBD2syr5Nzw8HFu3bsXgwYPx/PlzzJs3D0+fPkVAQACOHj1aLhmZIAiCKzk5Odi0aRO+//57vHz5EgDQsGFDjBo1Cunp6ZgxYwabixMUFIT3338fADBixAjR2kwQhPhUarrKFKDpKoKwXPLz8/Hrr7/it99+Y5eCe3p6okOHDnjw4IHa3ja+vr7slJSjo6NYTSYIgieGnK4y+06OCtV0VUZGBk1XcfSj6Sph4tB0lWYqU+/z58+xdu1arF+/nk0abtasGb766ivUrl0bPXv2BPD6pO8+ffogIiICwcHBUCgUpIUGrGmKhKar9L9GzOmqunXrmkZODkEQhKF4+vQp1qxZg40bN7IjN97e3hg+fDgWLlwIGxsbMAyDjh07IigoCBMnTkT9+vVFbjVBEKaK2Y/k0HQVQZg/WVlZOHDgAP7880+UlJQAeN25qVmzJtLS0uDo6Igff/wRDg4OAF7vkP5mIjFBEOYLTVdxgKar+PvRdJUwcWi6SjNc6n306BFWrVqF2NhYtnPTuHFj2Nvb4/r166xf586dERsbW+FxC6SFZqxpioSmq/S/hqarzAA7Ozuj/sIKXS/fOFz9dfnpU6bJXtZGWujnx+eZa7NztRkDTfXev38fS5cuxdatWyGXvz6cr2XLlsjKysLt27cBALa2thg0aBDat2+PKVOmkBYCIES9+sTgco2+Wmgr46oRacHfR+h3hiGfv8V1cuRyOoWcq58+ZZrsZW1CPRO+mLMWusorowWf9gmNpnpv376N5cuX4+eff4ZSqQQABAcHY86cOfDw8ECrVq3g4uKCTz75BBMnTkSdOnWQkJBAWlQSIerVJwaXa/TVQlsZV41IC/4+hn5nGAKzn66inByCMH3S09MRFxeHM2fOoLS0FMDrIxbq1auHRYsWsX6XLl1Cy5YtaQk4QVgRlJPDAcrJ4e9nqPlVc57r1icO5YFoRi6XY/PmzTh79iz27dsH1VeNs7Mze0K4VCrFgwcPtG4WSloIgzXlgXDViLTg72Oodwbl5PDAnOdX9YkjRO6B0POrfNsmNOasha5yc8oDuXDhAr755hv8/vvvrK1KlSp49eoVcnNz4eDggOHDh+Pzzz+Ht7d3hfFIC2GwpjwQrhqRFvx9hH5nGPL5W1wnRy6nnByufoaeXzXHuW594lAeyGsYhsGpU6ewfPlynDhxAsDrQ3xbtmyJf/75B69evUKdOnXw6aef4tNPP0WdOnUqbBdpIQzWlAfCVSPSgr+Pod8ZhsDsp6soJ4cgxIVhGFy6dAlxcXG4efMmgNc7EQcHB2PgwIFwcXHBN998g9DQUHTp0gX29vYit5ggCFOCcnI4QDk5/P0MNb9qznPd+sSx1jwQpVKJffv2Yfny5fjnn38AvB65YRgGLVq0wIULF3Ds2DGj5h5YqxYVYU15IFw1Ii34+xjqnUE5OTww5/lVfeIIkXsg9Pwq37YJjTlroavcVPJA5HI5fvrpJyxbtgy3bt0C8H+dG4ZhYGdnh3bt2rFD0GLkHliLFnyxpjwQrhqRFvx9hH5nGPL5W1wnhyAIw/Dq1Sv8+OOPWLlyJR49egRAvXPj7OyMCRMmYPLkyfDy8jJ6rgNBEERZqJNDEIRO8vPzsX79ekRFRSEzMxMA4O7ujp49e2Lbtm2oV68epk2bhjFjxsDJyUnk1hIEQfwfFtfJkctpdRVXP0NnypvjqgV94ljqip6srCzExMQgOjoaOTk5AF7vcfPNN98gPDwcDg4O6NOnD3r37g1bW1vB6n0T0kIYrGlFD1eNSAv+PoZ+ZxgCs088ptVVBCEs2dnZOHToEI4cOYLi4mK1spo1a2LLli1sp4YgCKKy0OoqDtDqKv5+hsqUN+dVC/rEEUILXeWV0YJP+x48eICoqCi1E8FVODg44OOPP8aUKVPQrFmzCp8Jn3qFjGEpWgiNGFpwvUZfLbSVcdWItODvY6h3Bq2u4oE5Z8rrE0eIVSRCZ8rzbZvQmLMWusoNtaInLS0Ny5Ytw88//wyFQqFWVqtWLUycOBERERFaj16oCDFWkZirFobGmlb0cNWItODvI/Q7w5DP3+I6OQRBcOPy5ctYsmQJ4uLiWFtoaCiGDRuGpUuXYtq0aQgPD6fpX4IgzBbq5BCElZGUlIRvv/0WR44cYW3e3t7Yt28fAgMDAQCjRo2CRCIRq4kEQRCCQJ0cgrACGIbBsWPHsGzZMiQmJqqV2djYoEuXLujQoQNrow4OQRCWAHVyCMKCUR29MHfuXNy9e1etrEqVKhg7diw+//xzNGzYUKQWEgRBGA6L6+TI5bRPDlc/Q+95YI77T+gTxxT3ZpHJZNi7dy9WrlyJ27dvAwBsbW2hUCjg5uaGKVOmYPz48XB1deXUdn0QYz8QU9SCyx4uhsaa9mbhqhFpwd/H0O8MQ2D2S8hpnxyC+D9evXqFhIQE7N+/n93Ar1q1aujduzdCQkJw7do1dO3alU4CJwjCZKB9cjhA++Tw9zPUngfmvP+EPnFMYW+WvLw8xMTE4LvvvkN+fj7r4+Pjg4sXL+LChQtmqYc5aqFrvxZz/tswl71ZuGpEWvD3MdQ7g/bJ4YE573mgTxwh9gMRes8Dvm0TGnPWQle5JvuLFy8we/ZsbNy4UW13YolEgr59++LLL79kO/3mrIc5aKHNzmcPF0NjTXuzcNWItODvI/Q7w5DP3+I6OQRhDdy8eRPLli3DTz/9pLaBn62tLYKDgxEVFYVWrVoBMH7OAUEQhKlgI3YDCILgTnJyMj744AM0bdoUW7duhUKhQNOmTVGtWjXMmjULd+/exaRJk9C0aVOxm0oQBCE6NJJDECYOwzD4559/sGrVKpw9e5a19+7dG126dMHUqVMhl8vh5OQEuVyOy5cvi9hagiAI04E6OQRhopSWluLQoUP4+uuvce3aNbWyzp0748CBAzh8+DCkUikcHR1FaiVBEITpQtNVBGFiyOVybN++HQ0aNMCAAQPUOjidOnXCkSNH1EZ0CIIgCM2I0skZMGAAXFxcMGjQIE52grAGCgsL8dtvv6FZs2YIDw/Hw4cPAbxeKdWhQwckJSUhKSkJPXv2pGMXCIIgOCBKJ2fq1KnYvn07ZztBWDIvX77EggUL4O3tjS1btuDRo0eoU6cOpkyZgk8++QQ3btzAnDlz0L59e7GbShAEYVaIkpMTHByMU6dOcbYThCWSkZGBJUuWYNOmTSgpKQEAODo6YuXKlRg7diyqVKkC4PX01c2bN8VsKkEQhFnCeyQnMTERffv2haenJyQSCeLj48v5xMTEwM/PD46OjggKCsLFixeFaCtBWAR3797F0KFD4e3tjejoaLaD4+bmhvDwcHz66adsB4cgCILQH96dHJlMBn9/f8TExGgs37NnDyIjIzF//nykpKTA398fPXr0wLNnzyrdWIIwZ1JTU7F69Wo0a9YMu3fvRmlpKQCgYcOG2LlzJx49eoSwsDCRW0kQBGE58J6uCgsL0/lFHBUVhXHjxmH06NEAgA0bNuD3339HbGwsZs2apX9Ly1BcXKy2jX1eXh6A10P7xtzh1ZxPvjb0ibLmeLqvPnEq8j9z5gxWrlyJo0ePqtnbt2+Pb775Bu+99x4kEgmdfC1ADCH+LnSVkxamf/I1V41IC/4+hn5nGIJKHdApkUhw4MAB9O/fHwBQUlKCqlWrIi4ujrUBQHh4OHJycnDw4EHWdurUKURHRyMuLk4tpjZ7WRYsWICFCxeWs9Mp5IQpwDAMLl68iG3btuHJkycAABsbG3Tu3Bk9evRAtWrV0KBBA5FbSRAEIT6GPIVc0MTjFy9eQKlUwt3dXc3u7u6OtLQ09nNoaChSU1Mhk8ng7e2NvXv3olOnTlrtmpg9ezYiIyPZz3l5efDx8UGXLl3g6uoq5G3pRKFQ4OTJkwgJCYGtrf6Pk28crv66/PQp02QvaxPqmfDFFLQAgJ9//hmLFi3C06dPWR8vLy/8+uuvePTokda4fJ65NjtXmzEQol4x/i50lZMW/GJwuUZfLbSVcdWItODvY6h3RnZ2Ntdb542gIzlPnjyBl5cXkpKS1DonM2fOxOnTp3HhwoVKN7gsMTExiImJgVKpxK1bt2gkhxCFkpIS/Prrr9i/fz9kMhlrd3BwQK9evfDhhx/CyclJxBYSBEGYJmYzkuPm5gapVIrMzEw1e2ZmJjw8PISsiiUiIgIRERHIy8uDs7MzjeTw8KORnMrHycvLw8aNG7F27Vrk5OSwdldXV8ycOROffPIJu1KKRg8MH4NGcjRjTaMHNJKj/zU0klP24jIjOQAQFBSEwMBArFu3DsDr83d8fX0xadIkQROPVdBIDiEGOTk52LZtG86fP49Xr14BAJycnODo6IgRI0bg7bffhlQqFbmVBEEQpo8hR3LA8CQ/P5+5fPkyc/nyZQYAExUVxVy+fJl5+PAhwzAMs3v3bsbBwYHZunUrc+PGDWb8+PFMzZo1madPn/Ktihe5ubkMACYjI4MpKSkx2o9MJmPi4+MZmUxm1Dhc/XX56VOmyV7WJtQzMUUt/v33X6ZXr16MRCJhADAAmKZNmzJTpkxhXr58yRQXF+vdPj7PnKsW5q6HGH8XpIVwMbhco68WfJ+xJX1PmYsWXDXKyMhgADC5ubmC9w14j5VdunSJTbAEwCb/hoeHY+vWrRg8eDCeP3+OefPm4enTpwgICMDRo0fLJSMThDmRkpKCqVOnquWVSSQSfPDBB9ixYweOHz8Oe3t7OlOKIAjChKjUdJUpQNNVhKFgGAY3btzA+vXr8b///Y+129jYoFOnThg9ejTc3NxEbCFBEIT5Y8jpKrPv5KhQJR5nZGSgVq1aRqtXLpcjISEB3bt3h52dndHicPXX5adPmSZ7WZtQz4QvQtVbXFyMxYsX48SJE2pHkjg4OGDs2LFYsGABatasybveivz4PHNtdq42YyBEvWL8XegqJy34xeByjb5aaCvjqhFpwd/HUO+MrKws1K1b1/RXVxGEOVNSUoJ169Zh+fLl7EopBwcH9O7dG61bt0ZkZCQcHR3FbSRBEATBGbMfyaHpKqKyvHr1Crt378aRI0fYwzJtbW3xwQcfoE+fPnBxcRG5hQRBEJYLTVdxgKar+PtZ+3TVs2fPMHPmTPzyyy9QKBSsvVGjRhg8eDC++uormiKpBDRdZd1acL2GpquME4OmqywEOzs7o/7CCl0v3zhc/XX56VOmyV7WZqpa3L9/H6tXr8b69evZk8ABoEOHDli3bh3atm2Lw4cPi6KFrvLKaMGnfUIjRL2khTCIoQXXa/TVQlsZV41IC/4+Qr8zDPn8La6TI5fTKeRc/Qx9oqypne576dIlfPfdd4iLi4NSqQTwehl49+7dsXbtWjRq1IhTHL71cvXj88y12bnajIEQ9ZIWwiCGFlyv0VcLbWVcNSIt+PsY+p1hCMx+uopycghdMAyD5ORkxMbGsqeBA4C/vz969eqFJk2aUM4NQRCEiFBODgcoJ4e/n6HmV01hrlsqlWL79u2YP38+MjIyWB9vb2/s27cPbdq04RSH8kD0R4zcA9JCM9aUB8JVI9KCv4+h3hmUk8MDc55f1SeOELkHQs+v8m2bkMjlckRFRWHVqlXIzc1l7S4uLpg1axY+//xz2Nvbc4pFeSDCIEbuAWmhGWvKA+GqEWnB30fod4Yhn7/FdXLkcsrJ4epn6PlVY+qQn5+PTZs2YeXKlWon2np5eWHRokUYPnw4bGxsOLWL8kCEQYzcA9JCM9aUB8JVI9KCv4+h3xmGwOynqygnx7rJycnBjz/+iOTkZBQWFgIAqlatCldXV4wdO1bntBRBEAQhPpSTwwHKyeHvZ6j5VWPMdd++fRtTpkzBiRMnoPoVbty4Md5//3188803qF69ut6xKQ9EGMTIPSAtNGNNeSBcNSIt+PsY6p1BOTk8MOf5VX3iCJF7IPT8Kt+28eHChQuIiIhAcnIya7OxscGwYcOwefNm/PHHH6hevbrZaqGrnPJASIvKYk15IFw1Ii34+wj9zjDk87cxWGSCEAiGYXDq1Ck0adIEHTt2ZDs4dnZ2GD16NJ49e4YdO3ZAKpWK3FKCIAjClKBODmGylJaWIj4+Hp07d0ZISAhu374NAKhWrRq+/PJL5OTkIDY21qjTkwRBEIT5YHHTVXI5ra7i6mfoTHl9n0lJSQlWrVqFqKgo5OXlAfi/08A7d+6MiRMnwtbWtsJ26Aut6BEGMVaRkBaasaYVPVw1Ii34+xj6nWEIzD7xmFZXWQ6FhYXYsWMHjh07xv7S02ngBEEQlg2truIAra7i72eoTHm+9/L06VNMmzYN8fHx7JlSANCyZUusWbMGXbt2rTAGn2cidBxa0aMZMVaRkBaasaYVPVw1Ii34+xjqnUGrq3hgzpny+sQRYhWJ0JnyXNt2//59rFq1CuvXr2eXgUskEnTp0gU//PADWrRoUeF98WmzoePQih7NiLGKhLTQjDWt6OGqEWnB30fod4Yhn7/FdXII0+fcuXNYt24dfvnlF3bkRiqVol+/fli3bh28vLxEbiFBEARhCVAnhzAKDMMgPj4e06dPx71791j7+++/j4kTJyI4OBjOzs4itpAgCIKwNKiTQxiU0tJSbNy4EQsWLMCzZ89Ye/369Ss8DZwgCIIgKgPtk0MYBLlcjkWLFqFmzZqYOHEi28GpU6cOfvjhB9y5c4c6OARBEIRBsbiRHLmc9snh6meIPQ/y8/OxceNGrFq1Su008AYNGmDZsmX44IMPIJFIoFQq1VZSCYE5a6GrnPZmIS0qizXtzcJVI9KCv48h3hkVtamymP0SctonxzTIzs7G5s2bkZqaqnYauLu7O8aPH49mzZqJ3EKCIAjCFKF9cjhA++Tw9xNiz4N///0XEREROHv2LOsj1GngfDFnLXSV094spEVlsaa9WbhqRFrw9xHinaHJRvvk8MCc9zzQJ44Q+4HoU3b+/HlMmzYNV69eZW1SqRRjxozB999/L+hp4HwxZy10ldPeLKRFZbGmvVlonxz9r6F9cgirRHUa+Pjx49VWSjk6OuK9997DTz/9BBcXF6PPcRMEQRCEJmh1FVEhpaWlOHDgADp16oT333+f7eA4Ozvjm2++QVZWFsaPH2/UqSmCIAiCqAgaySG0IpfLMW/ePERHR6OgoADA69PA27Zti/DwcIwfPx4SiYRGbgiCIAiThDo5RDny8vIwdepU/PTTT1AoFAAAe3t7fPHFF5g4cSKSk5PRq1cvSCQSkVtKEARBENqhTg7B8vjxY0ycOBG//fYbSktLWXuHDh3www8/oH379jRqQxAEQZgNouTkDBgwAC4uLhg0aJCa/bfffsNbb72Fxo0bY8uWLWI0zSq5f/8+PvvsM/j4+ODQoUMoLS2FRCJBQEAAbt68iYsXL6J9+/ZiN5MgCIIgeCFKJ2fq1KnYvn27mk2hUCAyMhInTpzA5cuXsXLlSmRlZYnRPKvhzJkzWL16NZo3b44NGzaAYRjY2tpi+PDhePLkCRYsWID69euL3UyCIAiC0AtROjnBwcFwcnJSs128eBEtWrSAl5cXqlevjrCwMPz5559iNM+iYRgGu3fvRr169dCtWzecOXMGSqUSPXr0wKFDh5Cbm4uffvrJqBsqEgRBEIQh4N3JSUxMRN++feHp6QmJRIL4+PhyPjExMfDz84OjoyOCgoJw8eLFCuM+efIEXl5e7GcvLy88fvyYb/MILZSWlmLNmjWoXbs2hg4dikePHgF4/ZwvXLiAo0ePom/fvnQkBkEQBGEx8O7kyGQy+Pv7IyYmRmP5nj17EBkZifnz5yMlJQX+/v7o0aOH2uZxhPEoLi7Gtm3bUKtWLURGRrJTgN7e3oiNjUV0dDSdBk4QBEFYJLxXV4WFhSEsLExreVRUFMaNG4fRo0cDADZs2IDff/8dsbGxmDVrltbrPD091UZuHj9+jMDAQK3+xcXFKC4uZj/n5uYCgNrJ18ZALpejsLAQWVlZlT4viU+civzz8/Oxfft2/PDDD8jMzGTtjRs3xtKlSxEcHAy5XI6TJ09qjKEtviZ7WZtQz4QvpqoFVz8+z1ybnavNGAhRL2khDGJowfUafbXQVsZVI9KCvw9fLbTZy9pU722DHKXJVAIAzIEDB9jPxcXFjFQqVbMxDMOMHDmS6devn5rt5MmTzMCBA9nPcrmcadSoEfO///2Pyc/PZ5o0acK8ePFCa93z589nANAP/dAP/dAP/dCPBfzcvXu3Ml0SjQi6T86LFy+gVCrh7u6uZnd3d0daWhr7OTQ0FKmpqZDJZPD29sbevXvRqVMnrF69GiEhISgtLcXMmTN1Jr/Onj0bkZGR7OecnBzUq1cPjx49grOzs5C3VSEdOnTA33//bfQ4XP11+elTpsn+pi0vLw8+Pj5IT08X/ETZijBnLXSV66sFYP56kBbCIIYWXK/RVwttZVw0Ii308zHEOyM3Nxe+vr5wdXWt6BZ4I8pmgMeOHdNo79evH/r168cphoODAxwcHMrZnZ2djf4LK5VKBamTbxyu/rr89CnTZNdkq1GjBmnB04/PM9dm1+ZrrnqQFsIghhZcr9FXC21lfDQiLfj5GPKdYWMj/IJvQSO6ublBKpWq5YAAQGZmJjw8PISsyqSIiIgQJQ5Xf11++pRpsgv1DCqLOWuhq9wctQCEaQtpIQxiaMH1Gn210FbGVztjY01aaLMbSwsJw+if6SORSHDgwAH079+ftQUFBSEwMBDr1q0D8Hrpsq+vLyZNmqQz8biy5OXlwdnZGbm5uUbvlRPqkBamBelhOpAWpgNpYToYUgve01UFBQW4c+cO+/n+/fu4cuUKXF1d4evri8jISISHh6N9+/YIDAzE2rVrIZPJ2NVWhsLBwQHz58/XOIVFGBfSwrQgPUwH0sJ0IC1MB0NqwXsk59SpUwgJCSlnDw8Px9atWwEA0dHRWLlyJZ4+fYqAgAB8//33CAoKEqTBBEEQBEEQXKjUdBVBEARBEISpIsrZVQRBEARBEIaGOjkEQRAEQVgk1MkhCIIgCMIioU4OQRAEQRAWidV2cvz8/NC6dWsEBARoXC1GGJfCwkLUq1cP06dPF7spVktOTg7at2+PgIAAtGzZEps3bxa7SVZLeno6goOD0bx5c7Ru3Rp79+4Vu0lWzYABA+Di4oJBgwaJ3RSr5LfffsNbb72Fxo0bY8uWLbyutdrVVX5+frh27RqqV68udlMIAHPmzMGdO3fg4+ODVatWid0cq0SpVKK4uBhVq1aFTCZDy5YtcenSJZ1nyBGGISMjA5mZmQgICMDTp0/Rrl073Lp1C9WqVRO7aVbJqVOnkJ+fj23btiEuLk7s5lgVCoUCzZs3x8mTJ+Hs7Ix27dohKSmJ8/eS1Y7kEKbD7du3kZaWhrCwMLGbYtVIpVJUrVoVAFBcXAyGYWCl/wYSnbp16yIgIAAA4OHhATc3N2RnZ4vbKCsmODgYTk5OYjfDKrl48SJatGgBLy8vVK9eHWFhYfjzzz85X2+SnZzExET07dsXnp6ekEgkiI+PL+cTExMDPz8/ODo6IigoCBcvXuRVh0QiQdeuXdGhQwf8/PPPArXc8jCGFtOnT8fSpUsFarHlYgwtcnJy4O/vD29vb8yYMQNubm4Ctd6yMIYWKpKTk6FUKuHj41PJVlsmxtSC4E9l9Xny5Am8vLzYz15eXnj8+DHn+k2ykyOTyeDv74+YmBiN5Xv27EFkZCTmz5+PlJQU+Pv7o0ePHnj27Bnro8orKPvz5MkTAMDZs2eRnJyMQ4cOYcmSJbh69apR7s3cMLQWBw8eRJMmTdCkSRNj3ZLZYoy/i5o1ayI1NRX379/Hzp07yx22S7zGGFoAQHZ2NkaOHIlNmzYZ/J7MFWNpQeiHEPpUCsbEAcAcOHBAzRYYGMhERESwn5VKJePp6cksXbpUrzqmT5/O/Pe//61EK60DQ2gxa9Ysxtvbm6lXrx5Tq1YtpkaNGszChQuFbLZFYoy/i88++4zZu3dvZZppFRhKi6KiIqZLly7M9u3bhWqqxWPIv4uTJ08yAwcOFKKZVos++vz1119M//792fKpU6cyP//8M+c6TXIkRxclJSVITk5GaGgoa7OxsUFoaCjOnTvHKYZMJkN+fj6A1weOnjhxAi1atDBIey0ZIbRYunQp0tPT8eDBA6xatQrjxo3DvHnzDNVki0UILTIzM9m/i9zcXCQmJuKtt94ySHstGSG0YBgGo0aNwnvvvYcRI0YYqqkWjxBaEIaDiz6BgYG4du0aHj9+jIKCAhw5cgQ9evTgXAfvU8jF5sWLF1AqlXB3d1ezu7u7Iy0tjVOMzMxMDBgwAMDrFSXjxo1Dhw4dBG+rpSOEFoQwCKHFw4cPMX78eDbhePLkyWjVqpUhmmvRCKHFX3/9hT179qB169ZsDsOOHTtID54I9R0VGhqK1NRUyGQyeHt7Y+/evejUqZPQzbU6uOhja2uL1atXIyQkBKWlpZg5cyavFZ9m18kRggYNGiA1NVXsZhBlGDVqlNhNsGoCAwNx5coVsZtBAHjnnXdQWloqdjOI/8+xY8fEboJV069fP/Tr10+va81uusrNzQ1SqbRcQmRmZiY8PDxEapV1QlqYDqSF6UBamA6khWljDH3MrpNjb2+Pdu3a4fjx46yttLQUx48fp+FDI0NamA6khelAWpgOpIVpYwx9THK6qqCgAHfu3GE/379/H1euXIGrqyt8fX0RGRmJ8PBwtG/fHoGBgVi7di1kMhlGjx4tYqstE9LCdCAtTAfSwnQgLUwb0fWpxGowg3Hy5EkGQLmf8PBw1mfdunWMr68vY29vzwQGBjLnz58Xr8EWDGlhOpAWpgNpYTqQFqaN2PpY7dlVBEEQBEFYNmaXk0MQBEEQBMEF6uQQBEEQBGGRUCeHIAiCIAiLhDo5BEEQBEFYJNTJIQiCIAjCIqFODkEQBEEQFgl1cgiCIAiCsEiok0MQBEEQhEVCnRyCIAiCICwS6uQQBEEQBGGRUCeHIAhRYBgGNWvWxLp168qVTZw4EYGBgZzidO3aFRKJhP1xdXVF//798fz5c6GbTBCEmUGdHIIgROHu3bvIzc1F+/bty5UlJyejXbt2FcZgGAaXL1/GqlWrkJGRgcePH2PXrl04fvw4li5daohmEwRhRtiK3QCCIKyT5ORk2NraIiAgQM0ul8tx9epVjBs3rsIYt2/fRn5+PoKDg+Hh4QEA8PT0RKNGjVBYWGiIZhMEYUZQJ4cgCFFITk5G8+bNUaVKFTX79evXUVRUxGkkJzk5Gfb29mjVqhUAoLi4GNu3b8edO3cQGxtrkHYTBGE+UCeHIAhRSE5O1jpV5eDggJYtW1YYIyUlBXK5HK6urgCAwsJC1KlTB3/++SfatGkjeJsJgjAvKCeHIAhRSElJ0drJadWqFezs7DjFGDp0KK5cuYIrV67gr7/+wltvvYUJEyagtLTUEM0mCMKMoE4OQRBGJz09HTk5OWjRokW5smPHjqFz586c4qSkpOCdd95Bo0aN0KhRI3Tq1AmRkZG4evUq/ve//wndbIIgzAzq5BAEYXTkcjkAoKCgQM2ekJCA27dvY/DgwRXGuHfvHnJycspNS929exe2traoWbOmYO0lCMI8oZwcgiCMTv369dG0aVPMnj0bDg4OcHNzw4ULFzBnzhyMGjWK00hOcnIyJBIJ6tSpg6dPn0ImkyExMRGLFi3CZ599hho1ahjhTgiCMGWok0MQhNGRSCT4/fffMX36dAwePBhyuRyNGjXCkiVLMGbMGDXfrVu3YvTo0WAYRs2ekpIChmHQsGFDAICLiwsaN26MtWvXYuTIkUa7F4IgTBcJU/abgyAIwoSYP38+Tp8+jVOnTondFIIgzAwaySEIwqQ5cuQIoqOjxW4GQRBmCI3kEARBEARhkdDqKoIgCIIgLBLq5BAEQRAEYZFQJ4cgCIIgCIuEOjkEQRAEQVgk1MkhCIIgCMIioU4OQRAEQRAWCXVyCIIgCIKwSKiTQxAEQRCERUKdHIIgCIIgLBLq5BAEQRAEYZFQJ4cgCIIgCIvk/wGeVcvHwoQFKAAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ephik = -0.1*e\n",
"A = 4*np.pi*e*me*k0**2/h_pl**3\n",
"\n",
"lims = {300: (10, 18), 250: (10, 18), 50: (17, 23)}\n",
"\n",
"for T in (300, 250, 50):\n",
" js = A*T**2*np.exp(-ephik/(k0*T))\n",
"\n",
" def j(U):\n",
" return js*(np.exp(e*U/(k0*T))-1)\n",
"\n",
" fig, ax = plt.subplots()\n",
"\n",
" U = np.logspace(-5,0, 1000)\n",
"\n",
" ax.plot(U, list(map(j, U)), 'k', label=r'$j(U)$, Прямое смещение')\n",
" ax.plot(U, list(map(lambda x: -j(-x), U)), 'k--', label=r'$-j(-U)$, Обратное смещение')\n",
"\n",
" print((10**-3)/j((10**-3)))\n",
"\n",
" ax.set_yscale('log')\n",
" ax.set_xscale('log')\n",
"\n",
" ax.set_ylim(10.**lims[T][0], 10.**lims[T][1])\n",
"\n",
" ax.set_xlim(np.min(U), np.max(U))\n",
"\n",
" ax.set_xlabel('$U, В$')\n",
" # ax.set_ylabel(r'$j(U)$')\n",
"\n",
" ax.legend()\n",
"\n",
" ax.grid(which='both')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1013231.4758388158 6.212699999999999e-21\n",
"1.0322873634795202e-13\n",
"-1.8395677158075775e+34\n",
"2.0645747269590405e-13\n",
"-4.5989192895189437e+33\n"
]
}
],
"source": [
"PHI = 4.75*e\n",
"\n",
"epsilon0 = 8.85*10**-12\n",
"epsilon = 17.72\n",
"\n",
"for T in (300,):\n",
" v = np.sqrt(3*k0*T/mn)\n",
"\n",
" E = mn*v**2/2\n",
"\n",
" print(v, E)\n",
"\n",
" def W(D):\n",
" return -h_pl*np.log(D)/(2*(PHI-chi-E))\n",
"\n",
" def N(W):\n",
" return 2*epsilon0*epsilon*ephik/(W*e)**2\n",
"\n",
" for D in (0.1, 0.01):\n",
" print(W(D))\n",
"\n",
" print(N(W(D)))"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def n(T):\n",
" return 1/(3*np.pi**2)*(2*np.pi*mn/h_pl**2)**(3/2)*(EF(T))\n",
"\n",
"def p(T):\n",
" return 1/(3*np.pi**2)*(2*np.pi*mp/h_pl**2)**(3/2)*(EG-EF(T))\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"T = np.linspace(50, 1000, 1000)\n",
"\n",
"ax.plot(T**-1, np.array(list(map(n, T)))/10**20)\n",
"ax.plot(T**-1, np.array(list(map(p, T)))/10**20)\n",
"\n",
"# ax.set_xlim(0, 10**-2)\n",
"\n",
"# ax.set_ylim(4*10**11, 10.0**12)\n",
"\n",
"ax.set_yscale('log')\n",
"\n",
"ax.grid(which='both')"
]
}
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