{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "```{admonition} Lecture Materials\n", ":class: tip\n", "[Download the slide deck for this lecture](/_static/pdf/Lecture22-Fourier.pdf)\n", "```" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fourier transform\n", "\n", "The Fourier transform stands as one of the most powerful mathematical tools in science and engineering, allowing us to decompose complex signals into their fundamental frequency components. \n", "In physics, this transformation bridges two complementary perspectives: the spatial/time domain and the frequency/momentum domain.\n", "There are several applications in computational physics:\n", "\n", "- Many differential equations that are difficult to solve in the spatial/time domain become algebraic equations in the frequency domain, significantly simplifying their solution.\n", "\n", "- Signal analysis: Fourier transforms allow us to identify dominant frequencies in noisy data, extract meaningful patterns, and filter unwanted components.\n", "\n", "- Physical insight: Many physical phenomena are naturally described in terms of waves and oscillations, making the frequency domain representation physically intuitive and revealing.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fourier transform\n", "\n", "Periodic functions (e.g. over $x \\in [0,L]$) permit Fourier decomposition\n", "\n", "$$\n", "f(x) = \\sum_{k=-\\infty}^{\\infty} \\gamma_k \\exp\\left(i \\frac{2\\pi kx}{L} \\right).\n", "$$\n", "\n", "Fourier coefficients read\n", "\n", "$$\n", "\\gamma_k = \\frac{1}{L} \\int_0^L f(x) \\, \\exp\\left(-i \\frac{2\\pi kx}{L}\\right) dx.\n", "$$\n", "\n", "If a function is not periodic, it can always be forced to be periodic\n", "over by creating copies of its $x \\in [0,L]$ form\n", "![periodic](http://www-personal.umich.edu/~mejn/cp/figures/fig7-1.png)\n", "\n", "\n", "For even and odd functions around the midpoint $x = L/2$ the Fourier series becomes cosine and sine series, respectively,\n", "\n", "$$\n", "f(x) = \\sum_{k=0}^{\\infty} \\alpha_k \\cos\\left(\\frac{2\\pi kx}{L} \\right),\n", "$$\n", "\n", "with\n", "\n", "$$\n", "\\alpha_k = \\frac{2 - \\delta_{k0}}{L} \\int_0^L f(x) \\, \\cos\\left(\\frac{2\\pi kx}{L}\\right) dx\n", "$$\n", "\n", "and\n", "\n", "$$\n", "f(x) = \\sum_{k=1}^{\\infty} \\beta_k \\sin\\left(\\frac{2\\pi kx}{L} \\right),\n", "$$\n", "\n", "with\n", "\n", "$$\n", "\\beta_k = \\frac{2}{L} \\int_0^L f(x) \\, \\sin\\left(\\frac{2\\pi kx}{L}\\right) dx.\n", "$$\n", "\n", "Related to the exponential series through\n", "$$\n", "\\gamma_k = \\frac{1+\\delta_{k0}}{2} \\left[ \\alpha_{|k|} - i \\operatorname{sign}(k) \\beta_{|k|} \\right]\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Discrete Fourier transform (DFT)\n", "\n", "To evaluate\n", "\n", "$$\n", "\\gamma_k = \\frac{1}{L} \\int_0^L f(x) \\, \\exp\\left(-i \\frac{2\\pi kx}{L}\\right) dx.\n", "$$\n", "\n", "let us apply $N$-point trapezoidal rule ( $x_n = hn$, $h = L/N$)\n", "\n", "$$\n", "\\gamma_k \\simeq \\frac{1}{L} \\frac{L}{N} \\left[ \\frac{f(0)}{2} + \\frac{f(L)}{2} + \\sum_{n=1}^{N-1} f(x_n) \\exp\\left( -i \\frac{2\\pi k x_n}{L}\\right) \\right].\n", "$$\n", "\n", "The function is periodic, $f(0) = f(L)$. Also $x_n = L \\frac{n}{N}$. We have\n", "\n", "$$\n", "\\gamma_k = \\frac{1}{N} \\sum_{n=0}^{N-1} y_n \\exp\\left( -i \\frac{2\\pi k n}{N}\\right),\n", "$$\n", "\n", "where we introduced\n", "\n", "$$\n", "y_n \\equiv f(x_n).\n", "$$\n", "\n", "This is the *discrete Fourier transform* (DFT).\n", "Typically one uses the coefficients without the factor $1/N$, i.e.\n", "\n", "$$\n", "c_k = \\sum_{n=0}^{N-1} y_n \\exp\\left( -i \\frac{2\\pi k n}{N}\\right).\n", "$$\n", "\n", "Note that if $y_n$ are all real, we have\n", "\n", "\\begin{align*}\n", "c_{N-k} & = \\sum_{n=0}^{N-1} y_n \\exp\\left( -i \\frac{2\\pi (N-k) n}{N}\\right) \\\\\n", "& = \\exp\\left( -i 2\\pi n\\right) \\sum_{n=0}^{N-1} y_n \\exp\\left( i \\frac{2\\pi k n}{N}\\right) \\\\\n", "& = c_k^*\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us implement this simple DFT procedure" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def dft(y):\n", " N = len(y)\n", " c = np.zeros(N, complex)\n", " for k in range(N):\n", " for n in range(N):\n", " c[k] += y[n] * np.exp(-2j * np.pi * k * n / N)\n", " return c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Illustrate the DFT on a random sequence of numbers" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 2000\n", "y = np.random.rand(N)\n", "#print(\"y = \", y)\n", "plt.plot(y)\n", "plt.xlabel(\"N\")\n", "plt.ylabel(\"y\")\n", "plt.xlim(0,N)\n", "plt.show()\n", "\n", "c = dft(y)\n", "#print(\"c = \", c)\n", "plt.plot(np.abs(c))\n", "plt.xlabel(\"N\")\n", "plt.ylabel(\"c\")\n", "plt.xlim(0,N)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inverse DFT\n", "\n", "Consider the following geometric progression\n", "\n", "$$\n", "\\sum_{k=0}^{N-1} e^{i 2\\pi km/N} = \\frac{1 - e^{i2\\pi m}}{1-e^{i2\\pi m/N}} = \\delta_{m0}.\n", "$$\n", "\n", "This tells us that $\\sum_{k=0}^{N-1} e^{i 2\\pi km/N} = N$ if $m$ is zero (or multiple of $N$), and zero for any other integer value of $m$.\n", "\n", "We use this now to evaluate the following sum\n", "\n", "\\begin{align*}\n", "\\sum_{k=0}^{N-1} c_k \\exp\\left( i\\frac{2\\pi kn}{N} \\right) & = \n", "\\sum_{k=0}^{N-1} \\sum_{k'=0}^{N-1} y_{k'} \\exp\\left( -i \\frac{2\\pi k' k}{N}\\right) \\exp\\left( i\\frac{2\\pi kn}{N} \\right) \\\\\n", "& = \\sum_{k=0}^{N-1} \\sum_{k'=0}^{N-1} y_{k'} \\exp\\left(i \\frac{2\\pi (n-k') k}{N}\\right) \\\\\n", "& = \\sum_{k'=0}^{N-1} y_{k'} \\delta_{n-k',0} \\\\\n", "& = N y_n.\n", "\\end{align*}\n", "\n", "Therefore,\n", "\n", "$$\n", "y_n = \\frac{1}{N} \\sum_{k=0}^{N-1} c_k \\exp\\left( i\\frac{2\\pi kn}{N} \\right),\n", "$$\n", "\n", "and the original values $y_n$ can be recovered from the Fourier coefficients.\n", "This is called *inverse DFT*." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def inverse_dft(c):\n", " N = len(c)\n", " y = np.zeros(N, complex)\n", " for k in range(N):\n", " for n in range(N):\n", " y[n] += c[k] * np.exp(2j * np.pi * k * n / N)\n", " return y / N" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apply DFT to a random array and then apply inverse DFT to the result.\n", "We obtain the original array (up to a small numerical error due to floating point arithmetics)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y = [0.71530852 0.16827053 0.03253044 0.56407537 0.40503795 0.56835509\n", " 0.0881709 0.2631667 0.32017442 0.27113671 0.14948489 0.73611933\n", " 0.30319967 0.20783829 0.74621847 0.69940923 0.4313009 0.91751584\n", " 0.48048896 0.81833242]\n", "c = [ 8.88613463+0.00000000e+00j 1.05151265+1.62094344e+00j\n", " -0.39377312+5.68373302e-01j -0.37491624+8.70819812e-01j\n", " 0.76593229+8.09896338e-01j 0.6781278 +9.47986585e-01j\n", " 0.15749806-9.38391278e-01j 1.57161213+8.55495208e-01j\n", " 0.12239471+4.26725031e-01j -0.09721819-1.87344308e-01j\n", " -1.54230435+2.43424866e-15j -0.09721819+1.87344308e-01j\n", " 0.12239471-4.26725031e-01j 1.57161213-8.55495208e-01j\n", " 0.15749806+9.38391278e-01j 0.6781278 -9.47986585e-01j\n", " 0.76593229-8.09896338e-01j -0.37491624-8.70819812e-01j\n", " -0.39377312-5.68373302e-01j 1.05151265-1.62094344e+00j]\n", "y = [0.71530852-4.77395901e-16j 0.16827053+1.13242749e-15j\n", " 0.03253044-1.06581410e-15j 0.56407537-2.90878432e-15j\n", " 0.40503795-1.26565425e-15j 0.56835509-3.88578059e-15j\n", " 0.0881709 +5.35682609e-16j 0.2631667 -6.12704332e-16j\n", " 0.32017442-1.04916076e-15j 0.27113671-6.32827124e-16j\n", " 0.14948489+1.78745907e-15j 0.73611933+1.22124533e-16j\n", " 0.30319967-1.22124533e-16j 0.20783829+4.99600361e-16j\n", " 0.74621847+1.60982339e-15j 0.69940923+6.66133815e-17j\n", " 0.4313009 +1.11577414e-15j 0.91751584+3.67067488e-15j\n", " 0.48048896-1.60982339e-16j 0.81833242-3.66373598e-16j]\n" ] } ], "source": [ "N = 20\n", "y = np.random.rand(N)\n", "print(\"y = \", y)\n", "c = dft(y)\n", "print(\"c = \", c)\n", "yinv = inverse_dft(c)\n", "print(\"y = \", yinv)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can try on a signal with wave-like shape and some noise\n", "(from http://www-personal.umich.edu/~mejn/cp/programs/dft.py)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.39 s, sys: 27 ms, total: 1.42 s\n", "Wall time: 817 ms\n" ] } ], "source": [ "%%time\n", "\n", "## Data from http://www-personal.umich.edu/~mejn/cp/programs/dft.py\n", "y = np.loadtxt(\"pitch.txt\",float)\n", "plt.plot(y)\n", "plt.xlim(0,len(y))\n", "plt.show()\n", "\n", "c = dft(y)\n", "plt.plot(np.abs(c))\n", "plt.xlim(0,len(y))\n", "plt.show()\n", "\n", "# yinv = inverse_dft(c)\n", "# plt.plot(np.real(yinv))\n", "# plt.xlim(0,len(y))\n", "# plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Discrete cosine and sine transforms\n", "\n", "Mirror the function over $x \\in [0,L/2]$ and make it (anti)symmetric around $x = L/2$.\n", "Then apply the standard Fourier transform\n", "\n", "![periodic](http://www-personal.umich.edu/~mejn/cp/figures/fig7-5.png)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fast Fourier transform\n", "\n", "The straightforward implementation of DFT makes $N$ operations for each of the $N$ Fourier components $c_k$, giving $O(N^2)$ complexity.\n", "This makes it impractical for large data sets.\n", "Fast Fourier Transform (FFT) achieves the result in $N \\log N$ complexity.\n", "It employs divide-and-conquer approaches.\n", "The most common one is the *Cooley-Tukey algorithm*.\n", "\n", "To see how it works, let us consider a case where $N$ is a power of two $N = 2^M$\n", "and we want to compute the Fourier transform of $(y_0,y_1,\\ldots,y_N)$.\n", "By definition we have\n", "\n", "$$\n", "c_k = \\sum_{n=0}^{N-1} y_n \\exp\\left( -i \\frac{2\\pi k n}{N}\\right).\n", "$$\n", "\n", "We can split the sum into even and odd elements\n", "\n", "\\begin{align*}\n", "c_k & = \\sum_{n=0}^{N/2-1} y_{2n} \\exp\\left( -i \\frac{2\\pi k (2n)}{N}\\right) + \\sum_{n=0}^{N/2-1} y_{2n+1} \\exp\\left( -i \\frac{2\\pi k (2n+1)}{N}\\right) \\\\\n", "& = \\sum_{n=0}^{N/2-1} y_{2n} \\exp\\left( -i \\frac{2\\pi k n}{N/2}\\right) + \\exp\\left( -i \\frac{2\\pi k}{N} \\right) \\sum_{n=0}^{N/2-1} y_{2n+1} \\exp\\left( -i \\frac{2\\pi k n}{N/2}\\right) \\\\\n", "& = E_k + \\exp\\left( -i \\frac{2\\pi k}{N} \\right) O_k.\n", "\\end{align*}\n", "\n", "$c_k$ can be expressed as a sum of two elements, one is $k$th element from a DFT of all even elements, $(y_0, y_2, \\ldots, y_{N-2})$, and another is a $k$th element from a DFT of all odd elements, $(y_1, y_3, \\ldots, y_{N-1})$.\n", "\n", "The interpretation makes sense if $k < N/2$. \n", "\n", "Other Fourier components can be expressed as $k + N/2$ and read\n", "\n", "\\begin{align*}\n", "c_{k+N/2} & = \n", "\\sum_{n=0}^{N/2-1} y_{2n} \\exp\\left( -i \\frac{2\\pi (k+N/2) n}{N/2}\\right) + \\exp\\left( -i \\frac{2\\pi (k+N/2)}{N} \\right) \\sum_{n=0}^{N/2-1} y_{2n+1} \\exp\\left( -i \\frac{2\\pi (k+N/2) n}{N/2}\\right) \\\\\n", "& = E_k - \\exp\\left( -i \\frac{2\\pi k}{N} \\right) O_k.\n", "\\end{align*}\n", "\n", "We see that all elements above $N/2$ can also be expressed in terms of $k$th element from a DFT of all even elements, $(y_0, y_2, \\ldots, y_{N-2}$, and another is a $k$th element from a DFT of all odd elements, $(y_1, y_3, \\ldots, y_{N-1})$.\n", "\n", "Therefore, the problem of evaluating a DFT of $N$ elements reduces to the evalution of two DFTs of $N/2$ elements.\n", "This can be continued recursively until $N = 1$, where $c_k = y_k$.\n", "Since at each step $N$ is halved, we only have to do $\\log N$ such steps, giving an overall complexity of $O(N \\log N)$." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Compute DFT of (y_st, y_st+s, y_st+2s, ..., y_st+(N-1)s)\n", "def fft_recursive(y, st, N, s):\n", " if (N == 1):\n", " return np.array([y[st]])\n", " else:\n", " c = np.empty(N, complex)\n", " c1 = fft_recursive(y, st, N//2, 2*s)\n", " c2 = fft_recursive(y, st + s, N//2, 2*s)\n", " for k in range(N//2):\n", " p = c1[k]\n", " q = np.exp(-2j*np.pi*k/N) * c2[k]\n", " c[k] = p + q\n", " c[k + N//2] = p - q\n", " return c\n", "\n", "# N = len(y) must be a power of 2\n", "def fft(y):\n", " N = len(y)\n", " return fft_recursive(y, 0, N, 1)" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [], "source": [ "M = 11\n", "N = 2**M\n", "y = np.random.rand(N)" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 6.61 s, sys: 53.4 ms, total: 6.66 s\n", "Wall time: 6.66 s\n" ] } ], "source": [ "%%time\n", "\n", "# Try naive DFT\n", "cdft = dft(y)" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.00000000e+00+0.00000000e+00j 2.06057393e-13+2.73558953e-13j\n", " -1.62536651e-13-1.82076576e-13j ... 3.76019216e-11-3.84758891e-12j\n", " -3.10862447e-15-1.34070532e-12j 2.04343209e-10+1.96322958e-11j]\n", "CPU times: user 31.2 ms, sys: 1.71 ms, total: 32.9 ms\n", "Wall time: 32.3 ms\n" ] } ], "source": [ "%%time\n", "\n", "# Now compare to FFT\n", "cfft = fft(y)\n", "\n", "print(cdft - cfft)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can try now the data set we had before." ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N = 2048\n" ] }, { "data": { "image/png": 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6fpEvcaSS/9Orn2DFph34w4vLcMWXRoQ3iB36iMJ+FpkksnGyuyxd0pMIVfdDkc61scC50JSeVpPkq+UqNbCKwv300ofrsXrrTqzeuhPrtjVhQNdqpefnje9Njc3oVVupVI4KlLRS434Nb3y8KTYS12vLNgLgm2FZs/GGbU3Y1dKGQd3VJoOzEUc2XR4syyr6dNpq12FX6LbPyqrrfWzd0YxZS/kZheNY5ItIp0ncLZMkikm51IIE76+F435qbbOwfKMz6iqJd8BasHRYUHi3tK5hl1FqigHFsItjzZOH3PQSmtuyePu6o7V0kCTcHQ27WjD91teKmkwGqN1ReS01/Oeu632cfMdsz+Rqw+EP19T/i2kxLaJLiR3FML+VKniWmicWrvZ8l0T/YzdROlx0vPG9ubFZuRwV6FCcmmKEPVBmf7JRy/m37mjBrKXrPd/rDOn+x7zPi16hUY3onBo9M56fQgM4r02XFaOY1tJiIzXGyW1hF59S5NQk6n6KTFKO/yrZ+UYHp413xmKtw1XaSk1xzW158CZdbQROAOfe97bnO53znR1amySivHqVa5/7XL4WGQuxJ+diFzpd630xKRId2VrhUGo0y0pCaUqym0UNukii/7HvXQtRn3PKptZsUZKFS1upKVLwusFnG/Ukq/KDzgmpWDV4N1QuxO5z+fGJ/vfeGuxz/XP4+9urlMkOAzvv6FNq9JxXBsVwLUkpeXGuMUncYpilUedzj/psk3DF6rbU8O7p0kcX4uCbXsK2hJJL+sEoNQmA1+eLr/qsPHaXe1HKqXF99nMzZdtzJV39eHzlKxyWGm0yNJ1YAsXA72GfR5w1mIrh3nUi7Pb0zj3Rnm0pWmp4Z2zLWljbsAtPvRNzRv4QGKUmAfAmnrjnolK31MRtGfe6n4JfaJyme0dIt6aO1pEjjnhISrlg3QGlWAolbL3WWcU7qq6QhJWOnW/cyQBVYHdSlo1SkwD43SPeTqNz9xim1DQ2teLBuSuwvmGXtmuIn1Pjdj8FP4PBmkL4eYjDcFZMc17SE3AqlaBS47AQlR7CKsA3tejr7FFfqa5X39ya9VWYnO6neJLvRflfEihppaZYd4/c7IwxX6rOZxOm1Pzsqffx03+9h9P+NEfbNUSBymcQ1f1kY3jPTspkh4Gd8PS5n4pnrMV1Kd07VXC/T8V0Dfx5RP+7ThJhrpX3FBapdSNqH9cxt65v2IWJv34B3//bQu7/sw6lRrn4ogoECENJKzXFC28HiXtR0CkuzK8984N1AIAVmir5JgGP+ykkyV7nqnKFsoNl6Yx+SqJAZxjiGktB985eQqwh3awCuxstRFERtvn7zoPztMlO0lJzx6xPsHVHC/777hru/9lNlI5cWLtTTzJKTQLgDcy45x+tSk0RcGoi3aBK95PrZGETi0oTcZgS6bQaqbvph99cgbE3PI83P91UXJYazed//v21OOb3r6LBp2hjKpUqCveTbutvEpSdsHGlM4N6VCVRB1F34aqtgf9n+5uO/J5Bt37v68uxanPxbFBLWqkponkWQGEXxRsccV+qTnm7S/STSrhf6Y+fWIwdzf7FTFVOfLuag5+3c/euTCyue/I97Gxpw5V/f6eoxppuC8Wljy7E0oC8UinotRZtaWzGs++t4S7wTrlF9FIUwLKs0AX7gMFd9cmPeJyOd7+2PjiZaZtmS03QPS3f2Ijjb3tNuUxZdLgyCUmizbKQRoo7OOI2FeuUF2Sp+dMrn6B+p/68Bu98Hu5b1xnS3djchjte/sT3eKVKTUgyP92cmrJMqrhCujXr1OWZNHaFEFLZx6HaoHHu/W/jHZ+du2PHrvmdxDll7Wppw/Q/hJdeqa7IaLuGqMpKEpXEnRY6DSHdIaf0s1omgZK21BQbNmxrgmV5q7oCpcWpCcqYO+N/H+oTLAhVz3zrjmY8w/F1r9rib5JVqdTsbA5RajT3rfJMuqj4G7oDBA4a1iPw/6kUYGlUrPwUGsCp0BWTS5CKj9ZtCywFYkOv+ynacVryxAicUkch4d2pL5W0pabYXsPBN73k+7/YOTUan47foCqmhQ9Qt5P9xr1v4r3VDZ7v0wGkA5XzjpClRsMrqMiki2qs6d4oV5QF215ScHFqEqr9VGTDjYSaiBYYLSUC2hF1YY8r+Z0fdicFRAc6pKWmT5fiK5cedz9Mwl2wI8SiEDdUDX6eQgMEr2UqicJhk6jT/aT+xVeUJWep4dWe0X0poa8uldyGyul+0nsVcd5j1PlKp+sn6pkTt9TEVCahWNEhlZq9+3ZJ+hI8iN/9FH8n3d5UPH5XQP8z2LC9yfd/Kie+sNvQ3bcqMunIk+67n29VKpvnWtP9XsOep26icBDitNTEeY9RRb2zaivqd+jh7EXtV3oUq+jnfHDOCmxpbFYrfffRaUpbqfF7EWXp4su1Gb/7Kf5zF1vhM91BWq8t2xggOz6lhnUH6uhn5WXRicJf/uMbShcd3nPUPZSi3KtjwVd8Qd1q/HMc6SaMsohzzhK5l7P/8qaWa9hdODVvLt+M7z44X618pWfTi5JWavyQ4Sg1/1q4OoErKUA3mdODBHppMTHkgWRNqkqVmpCXqSPLLLtrLc+khdxaGxv9LVji1+H9jl9bTd3zDrXUpJzXpXqN61zFp0JaltXhLTUA8G6EyEdRvLNqK655YnGkY3UQdUXx1meblZ4vyrvOZi2tnKao6JBKDc9Sc/lji+K/EAZxd4YkFvTtRabUJElcVjnvhXUdJ1FYjWA2F1FFJp1YSDff/eQ9bsKvXsAzi/nZWEURZew4DTVqH05Zmj9tW1a80U9xziFJczq+cvsb2LAtmjKupfaS8jMKyo9wASf+8XUcfvPLiWcZL2mlxm8y4VlqkkbcSo1OaX4T0LYiU2qS3FSonPjCFJU2Dbv3HU0F0nd5Ji10YpWjjzdueP1vU2MzLnp4gRKZYf3GHf2kup/5uc8txMupKeYcm2vrd+Gm/32IzwPSKuhC7Fb3GBBlM/T+Fw34fMtOfLYpPPReJ0o6pNsPxcipiV2p0SjO7162N+nj1Gzb1YLNguS4JE2lKheEUEsNy6lRpM42MtmSs1ZypWO50U8JyHTKd7uB1F6R36Ys63I/6efUFK+l5vwH3sZ7qxvw/Adr8dIPjtBzUT7QQRROOh2GiPikPVBaLTWvvvoqTjzxRPTv3x+pVAr/+te/Qtu88sorGD9+PKqqqjB8+HDcddddyq8r42O+TRJxm1d1yvNTFnSFdG9vasXYG57H4TfPEmqXLKdG5TY3uqVGlTLFvsuWNit0odcF9zvMJbdM1u2StdzuJ7Uoy/hYaizngqKfMF2cnBqgkGbh0w3xWw3aNHBqkrb9iMhP2lWodXVvbGzEfvvthz/+8Y+Rjl++fDmOO+44TJkyBQsXLsSPf/xjXHrppXj88cel5O9O0U9xp9ZOwlITllpeFu+vliMGJjn2VFmJvti6E39+bXngMWzZinUNu/BFSKr5KGhkwvNb2rKJTLr/XrQaby53EiLdCoUOhE7abqVG8QX5cWp4lppVm3fgkw3blcovnF/LaX1kJb2sR0cSZRJ0Q+T56y5TEgat7qfp06dj+vTpkY+/6667MHjwYNx6660AgFGjRmHevHn43e9+h1NPPVXZdWV8djpJQtVON2kzJeA/AHa1lGbyPRmoUmpOvuMNrGsIJjDeMatQg+rm55bi5ueW4oNfHIOaCvnhz1pqWrNZoQUupaC889K123DZo4s837sXdh2wJ+1R/brgiqP3wndc4bNu99OSNdvwwJwV+MGX9sbYgXVk+eUB8xc7j7RlLUz57csAgMU3TENtlX8oeBS0tGVx2l1zMKpfF8w4ZWy8lprYJNGRdEi3Doi5n0rYUiOKOXPmYNq0aY7vjjnmGMybNw8tLXw+RlNTExoaGhw/YShGS40qclnU8aRT+eHtVCzLKjqlJlFOjaLnH6bQ+CFqJIcfHJaaVv0uHzdWb+UTQLMWv7aaStiT9mVH7Ylpo/ty/u+c2G9+bilmLd2Ak+54Q4n8YE5N4TNbB2lt/S6y3NeXbcSiVVvxt7dWAoh3oS2GzVpUlCanJrr8pF9VUSk1a9euRZ8+fRzf9enTB62trdi4kZ/IbMaMGairq8v/DBo0KP8/v2cbVJMnKahaYKOeR+d6zrM6ZS19lhrZnX+Sgy9xE22GNvQdnJpsVuhZqhh9fu/czSvRAVth8b8GPnFa1Rj3m7/cyhQbWqtCiXZff9COXHWE6e7k0VlbvxO3PL9UiZu3WGA4NQS4JworZAK59tprUV9fn/9ZtWqVp60bRWmpUTRqo3YonfEqfqnrd2pSamR3MUkOvtaEtRrqGHAShbPaK2O74b+wW9DtrLANIEHKhc6dtd+pLctJ2GYtBjoSwgXNWarn2KR3/yJ4eekG3PbSxzj7XnWZjZO+fSFOTcIvq6hCuvv27Yu1a9c6vlu/fj3KysrQo0cPbpvKykpUVvILVPrxVKi7VB2I21Kjs9/x1uucpaa4Elskm6cmOdkA3Vqygwnpbm2zBDk1ROEAMoHWCvr5g2ArLEHTiM5r8FMg3ffewlpqYuZ5qLfUJL2si+OTBCKvdMGEdEti8uTJmDlzpuO7559/HhMmTEB5uTjJze/Z+k1GSfotVQ3aqGZmnR2PZ4XI+lhq5n66CXM+2aTvYgKQZJIsHVlHRUB9/41NLktNzI/Sb83MxhjSHeT21MnX8j21y/3U5rDaqO9vcbqfktRpks6QCyBxU41xP7Vj+/btWLRoERYtWgQgF7K9aNEirFyZI5pde+21+OY3v5k//sILL8SKFStw5ZVXYsmSJfjLX/6Ce++9F1dddZWUfL/B75enpqk1uc6rzP0U+Twa3U+cx2j5cGrOuHsuzrxnLnZqymEThETLJCS8naG6i1hLTUubFbv7yZfPktW/U7T7t+1+uvDwPTjHaDXVcOGO/GKJwjrcT0GLV1k6hev//R6ueGyRknGW5FjdleC6YCOJu7csCz/657u459VPBUO6S1ipmTdvHsaNG4dx48YBAK688kqMGzcO119/PQBgzZo1eQUHAIYNG4ZnnnkGs2bNwv77749f/vKXuO2226TDuUU5NUlG56hizBeF+4lz8qxloSnA/dRC2EnK3kqSgy9pEy31/Tc63E9ilhoVfc/PEhCHepV3P7UrNddMH4mRfWsdx+jcrfq7n9xKTZb5W+31XPjgfKwPiaB7YM4KPLlwNVZuppcqSHK4NCW0LrS0ZfHe6vrE5qm5n27GY/NW4cZnlgi9gKTLRGjl1BxxxBGBGvb999/v+e7www/HggVqarT4ifabEJPkfKjquFE7lM5uxzPXNrdmtRGFZRHnXPHw+QfhrD8XiINJE4Wpiy6b0K+5Tczlo+Kx+7uf9O/q7WfHXkO5y6edhPvJgpPPxo7D5ja1Y+/Z99eGH2Rfh4JnIdtfVXjBkrLUXPvEYvxz/uf4wZdGJGKpYtM2iDz/pK3QRcWpUQ2/F+FnqVmwcgsWrdqq8Yr8oUq7/cvrn0U6TudOktenv/anOYGWsCR2I3H6fjtVOvcPSZOmqbfO6q0tbVksFsjqrGKC9nM/xZF8z5602WtIu+YUrZYan3O7751VJppjXphZ2SrYNbKP0y/7sgiSstT8c/7nAIDbXlqWjPuJ/VvgApLOqFziSg3/ez9LzUUPL8BJt7+Bptb4O7Gqjftdr3wSfhD0uZ/W1O/E9iZvNe5l67cHWmoo40B20oxTqeF1uX8tXB2bfDc+3UiLzGCfXf3OFjz3/rrIbfVaavQn37PPz84j7iS/OrmlvrfnIgqzPJq4+YKqd+vSlhoFK1zSrmLVrkMZiDwDHbWvRFDSSo2f7zks+V4SnShud4Quc+ZJt/tnTQ2yTlAUDNmWa+tpWXVFwOtzlz+2KDb5bpzzl7dIHDLKoqWi6wUn34vf/eTeKOkcz36P3hPSzVxD3JYa1UqNfbbunSqwT78ukdupSLSadDbf3DUkLF9gljWWGo3gdYRMOhXqZ02iE8fBBWChS1RQ2v5A91MCz/wvbyzHHbM+jkVWESaxxrZdXotaVNDcpfqiYeKw1Nj3zipWbqVG6zX4nPysP8/F9l3O/EE2mmMOS1a9sNnve2C3avSs5ecl48Evn5EIkrbUAHqTpUaBiJJqODUaweNppOD1f3vaJfROVMitq46WzyeJWwxSapLaifz22aWxyElxnGS6E1vrPD9FAVfxrv1OEUuV7nb9wOF+cj1snRO735k/2dCIv875LP+ZtRYFRR7qAHv/KgqY2reSAlBVFn3ZUlG8OOm8K7lrSFa+iPci6SCI0lZqfN5D6CBLqAOpmAgP3atnpOOSsEYF7d6KYeLQCZ5vv3Ol3oTeKkiSfqD0VRUTtF93yWb1B3VbHPeT282hVakJOPWSNYWCvi0JWmpUw76TVCqFqvJM5HZqLDXJz01J534RSUBoLDUa4Te5hXXzpEx9SjpDxFM0t2W5hN6kQLn1IphzQsHz7etWajTqNCQirIrx5aeUx1HQsi2v1BTeqTuiUsdCaFkWbnz6g8BIM/beHSHdRZBAjoJCFmegqjx6xw6zykdBMcwvSShW7BgTcScaTo1G8J5tKhVOHkuqE6sI67Y7/y++MjrwuJY2C2N+9hzqd7aQZaoAZScSZZGsKk/jyYsO9nwfV3FTnpjOVXqVGhW7VD+QiN1a3U9xlEnI/U4HcGp07FY/WNOAe15bHvn4uEK6M+kURgWQd9VkFM79TqdSqPax1Pz65LHo7eLbqBgDxaHUJCu/xVhqigN+gylsHVOtFUfdkavoDPalR/VjL1y5hSxTBeLgnY4b3A2dKpwTot8EqRq89zGoW41Wmarr77BIOvrJfY7a9jGWy9VCP3+w7HZLDTN7ut+vjoldtJRIiyP5Hl2p8ZtS7jjrAM+4YqHG3dhuqQF83U/plDcJoooxUAzup6QhUmbDKDUa4dcX46bUfP/IPSMdp6IzZJnBHwXFMlx1h3TbRF334lMVMBmrBCvVXgDcCflUQ2c1etr7UtfPAWBA1+r8mM5a+vu0PU6D3E86UsWLEm4d0U8KLDW+GdpTqcA5VYmlpv13OpVC904V3GPSqZTH5VpeIkThJOBwZQqQf41SoxG8zmhZ4ZOD6j5cXZHB1yYMDD3uwTkryLIKhDrBBgmDMnFQ2lItNVEnbHYB3KtPrk6Q7hopoW5WwssvJktNKsVyJ+J0PxW+c3M3dEzsokaHFuYadC7MYdYQFY8if/0p4JuTh3KP4VELVLh4k1qjo87hfbtUaZHP9mGx6Cej1GiD37MNS3utelKMagL9/QsfYdsuGseF9T1HOr5ItBrKOKC0pSo1UWWz78PePeqOaAg11BDEJ70bc/db+/nGEtLNIQq7uRs6lAjRRHIsUVjn+wpPkaGSU5PbJM44Zaz3OlIpThQaWXRiyffKIzL9dbmZWeuMGKfGhHRrA2/BTqWAo0b1CdRuVXdhEbIadfKxRN1PxaHTkCaOKJOm3ysQiaTgIer7YuXbodY6Fpq9+xSqRYeFdNMUySKz1OTdT/prP2UjuJ9++I93lcsVVWra4rLUhFyXCtkFt3pOFm8dT6e9856KjUNS+ntZRNeZrihHtv+IcGqMpUYj/MZS/67VeO6Kw4TbRcGClVvwwRcNju9EwgqpiapE3U9Js+pt0EK6wxv7HSKS84KHqBM22wfsyUr1QjNlr5544NsTGZnBx1Pk0/LUqNu527DHTTYbh6Um95tVMtxjXMfELjo1tCi21PjJD+tnKt+HLYs3T6Y53B41fS0hS01ETpyuKEeH+0mEU5Nw7Se9TMWEEaSlB+kZsi6ZLY3NOOWO2RxZ0TsddQDlLTXFmJc/ACRODcHaSSXrRl282LdhT1aqLTWpVMpxP2G7K4p0yryl4q697qfc71gsNZzop4un7oknFnyudZMg7H5iLkZn7r04LTX2M/CT6HE/KZFNPoUUKiNmTlaRi4eHNkf/MZaaokDQo01xOA42ZN/JpkZ+3SORIBRqf7DbR3c/FYepRjdR2H7d7udSSyQSugf70aP6cI/juSpUb2jSKaCGsTwFVUUHaKZ5Ul4hxQtNCgUuxbZdrfh4/Xby+YNle91Pw3p2woe/nK4175GwpYaJeNKp6MVRdsa9ceEpeDxOjQr3U1JzZLcafpSXG7osNaxyIkIUTppvV9JKTdBA5u2cbch24oyPHVZkh0WdfArup6hE4XhR4aPhUW47yWzE7kmzuiKDy47ay3McO+/b/U01UTgF5wIjmtdEBKToJwXy3WPUHmNn3jNX+06R534CgIqydJHQ7nP4on5X/m+VObDcSKdS3NpmNpS4gBhZAN/lxXM/xWWpOePAQehfpycKKQj/uvgQbURhZ/RTdFOfsdRoRFB/dkajuJUaOXl+uzQRVxBZqeHUpQk+niROGBU+JlUa8TQ5fod70kyBr8SyfcDm1Kje0bjlNoXkJkkqjF51RuFUKt4q6Dz3kw2du1QSB0qhC8iNsEVVjWXOdqvnPvsViPVaasiiIz33kX1rMfvao5TkxbERJTfM/oO6Crslo8JJFDbRT0WBoMGU4uycC+3k5PkNbhHzIHX8FzIKRzs+7sRSfoOeZG2Rb0reWbsXMTYShwX7XSbvflLNqRE7niKetnirdwnomth5ckXTJqiTLd9WiRvG5/twTg1ZdF54nlPDEZnSRBR2n+NrEwbimNF9XMc4r08Foj63eCw1hlNTFIj6bN2ELFmisF8rkT5Hdz8V/P13nz0+9HjVHXBgt+rA/+uw1CRl5QE4Sg38J1wb9iKg2lfvtggO6Br8LpLa+SsP6Ub0Mfbh2gYal4hpGrdSk1S0mg3fsjNhUXYaMqXzOTV6qqW7z1BZlsFvT92Pe30qFYyo166LKMyuDSajcJEgaBLgJUOzITt3+A96EfeTnOx8e6bvTRvdF1/ah09ctaHaVNijPYX5Xd/gK1R+YYo0F5J0U7J52mupSfmEmxb+zltqNHBqAOCpSw7BtdNH4rSQLNZJcZHU1AIq/O33zHk49tbX8NvnlkrLZecUnQVDeaA9c32cmjgyCru5grxHn7W8yq2OkO5UyptDJq/UKOwTUecHhR4vl/zC5Gjy1BQJgh5tkPtJdiAEEemigrqrsS019uD3I+baEDErRoF9+RVl/Hv2t9TIy0ySU+Nu7/em2UU3rS36KXfefQd2xXcP3yNCnotkdv4qORaAv3XMD3e98okauTHPnlH7al11uec7NXXl+N9nUqnAcMu4ODVtWcuj3OqKvHIrcl2rc5s5lVaTyEqNj8yN2/nRuFHhjH7affLUlLZSIxv9JC2P/71ISLcqTo3dz/2UCBuqrQVupcoNPyWL5hIIb5vy/JGDak6N3+TusNTkE8Xp5dSELfQU8YlHP7k+uzcO00IslLJgF7j43U/Oz5cf7Y2yA/hjXsU64+eWjyOk2z2v8RbZ1mzWY6lRWSSYhXvNOPmAAQAUu5+iJvb06YcXP7yAJD/rcD8ZS01RIMi14HA/uTk1ku/Eb3GNN/qpXSaiWWpEWO1RYD9zv4HmZz1IyoWknlOT4p7TUSdIk/vJ/cxDC1oqcGeE9S/VcgHg0w3b8fmWnY7v3GvJhUfsQRPigyTdT25V7qiRfMWN9050lguII/leofxLThav6njWsrTkqXGfwm2puWraiPy8plLRpVpq3ly+mSTfwakRylNjop+0gbezsOvhsH2vwuOUlHQ/+XwvMvmpIgrbIst93EA2VGvVhcRkwH+/f6jn/36Wo6RcSNTb94R0p/iLNtsF7ElIeeSZ61WHbRpVEE/DLIE8UIqoNuxqwZH/9wp++d8PCl+6CKIVZenIxQBF4XA/xazTeIyCPvJ5EYY6icKZdFCWGsV5atpfa1OrNwdTa5ulJU/NnS53pZe3U/hbQsf3BVWpUSlfqExCsoaa0lZqeH3CziXjzCjs5tTIyvMxzwopNXKybbjNtIO61QQef/NzS7Fq8w6aUI78FFIYM6DO838tId0JEih50U+8M8ZhqXE/2eClRs1zk8rLQZC7jkkox4Idz1VlaW0KR6LuJ076AB541lAVi7svZzA0Tw1ZdP7e7T7Ny8GUtbycGuoYW7p2G95ZtdXxnfu5s/en0noX1cqkqx+yG16Rd2gsNRrBW7AynElYVZ4a/0Evcg5VxNXcfZ5z8NDA43c0t+Frf5pDksmiEFLO/39FGb+AJCksW2CV9NjkiBNulPTtgHMitI9RbSVzyw7n1CRlqZEHb1f6lf0GOPpbdUVG2+7V4X7SWBKBL9v5OYUUfnnSGM9xvHeiMqzajXhqP+V+26KaOW7zljbLM+9QRW/ikG3d44ydf1QShaPOD7750YjXIqsQiriqdKCklRre7FnG0TDck4C8ebwILDXtv22RVeUZ33pENtb47H5lUJh8/IjCfpaaZFxIyjMK+7ifnJaa3O/lGxsx84N1JPlu2X4yVcOe8KJWEmZBeeS88XvR1D0c91pdntF272x/iVmn8cxLqRRw9qQhnuP4RGGdlprgdipzxdjvtanFq9S0Zb2cGup9c9sHup+KhyiclFJj8tRoBJ+17n3RbmKdrPXM712mUymM5bhi+OdQQxRmO3pck+/bn23OFxMUMY0D+l1IfgOcOte7Ta1+9+1Qapi/L3hgHu0CfGQEXYsNFYqkzMRJkeu2tE4a3h3lmbSjj1eVZ7T1eXahEQkAUAH3Y/MT36nCW6Q1SUvNdx6cj5eXrifJzhOFAyw1XKWGeN88a4lHidBEHo/OqeF/X04cBLKWZBP9pBG8Z8ubhD3J92SJwj7NMmngzImDPd93qvC6YlTVfmLvKK6597S7Cm4sv92Dn3mWMvlEaVrDmehzbamcGvc3KW7/Ye/ar/ApFe4nG2atUBHSLTOJU564u/sU0uYzlpqKjDaFwyIoc1S4+6rf+9VmqfH5PpP2lidw47z735aWu2JTI37z7IcACvc8cVh3z3G5PDXe9qqr0QeFlRRTnhq6pUZud28sNRrBe7S8opOqODVBId1lmTRO2r9/6DnIeWraf7PrZhhhVAf8xpPfRKy71EENR4HMtZUWC4Bf+yk8+okm0w/uhTxsTqPwt+xFUopTQ3rXzs/2LbP3OqJ3rTZLDRvdFzc89+5zHG+OU5G5gZIx3a/YbxScfMfsfJJQ+yxHjOiF+791IGZfc2T+uHGD+cUdKXNLFEuNDqKwiCImmj4jKmS5MSIlFXSAv30tEXCJwjylRmJi5sHXUmPX+nF9z9tNqspwyyoymgwDgfDbKfvNbbQ8NeGNq32UGh0ZhXln5GUUBuTyvPjBm3xPn6XGfuZdqrzZa8NAeeKeMdTez9mJff/BXbWHucbtegI4fc3PxauJKBw2vwWhVqKf2Njc2Jz/O8VY5o7YuzcA4PUfTcXKTTswYWh37jNpsyzphY5rqfFwatQThUVcOLosNSslo2KTttSUtFLD21nwtFcPp0ZyoQsL6Q7aaQ3oWo3VW3cqC+lmT57EBOwn0m8C1F37SZelxj35RHnU7DOQsXT4wT2HhV8L3VLTpVpiCiE8c14dHsCp1PTvWq2NKJx3PyUwprxWKj8yvh73k2/yvQiLZ+dKNUsN75YHdqvBwPbUFVxLDcFwwFMu3M99aM9O+b9V7VFE1iC/vkixjmWzFj5cu02qreHUaARPY3QXIgPUFbT0QxRLiX2MHqJwEu6nnMxfuUJO/SZi3RFM1Zo4NZ7cIfD6n3p2rnB8ZhcBqTwvPnC7GcOeqewztywrf4tylhp17icbbJLJ8kw4x0MWSbqf/OqMHbxHD8f3lYyibC9sOonCUeYXKeWXK0v8/xSFjreG2CIe+84kXPmlETj1gELhWFXKroi1w9dSQ5hbNmxvwvamVt//B72HpC01HU6p4ZE0VdV+CrXUuP+R8h5DnXwK7ieumNhgd/pvuEJO/d1PegdCTbmPpYZ4Xi6nhvn88PkH4fkrDncc46wQr9BS4zrVFsZsz4PsI2fvuQuneGIYdLxq1jpRWZbWpsjb957ERsHPUvPAeRPx9nVH4+xJQ9CnSyW+OXlo/piq9n6vkyicToXz9mor5d1PLMLk8DZNlEU2iFNz0PAeuPSovRxKRTG5n3jpD6KCFzLvOHfAvGXy1GgEr2PwwtzcLgDVVbrtTucxnTN/55UaRf2BHdsJzL/CuRNo4cX8tj//8uj837b7yVvFl/bAPXlq4OwHh+zZE907BVlqVA5B572t3xacf0j23tl7rq0S34GrzB5tf2afYy7EW0+nt69dZZRLdNnOm7cvoSyTRq/aSvzypDGYc81R6N+1Kn+MbZnWXSaBxZ69O3uO6aTI/RS2TnMtNYR750UABXWtRIjCvkoNwf0UMjcEhYsbS41G8C01PPeToozCPt/bIoOIwvafut1Pfr5taibjqPBzP9Hy1PC/Zwe7P1FYXi7AS13PD+n2uy6dnJoN27zZUFlIc8eYeV5GqSFFP/k8W/Y5VpSltbmH7GtPxv3k/MyzWqTTKUdft+dAnURh95ieccpYzzEVITXooiP4PDxllhKN08KxOgS9e1XKtIhlzU+RohCFw+QHnTvp6KeSVmp4ZjAep8ZLrFNLFM4P+oDTZvKWGr3up5eucrpCbEz41Qt45aMNJNksfPPUaHA/+bVldyp+O0WqMidDFO5cWVh0lHJqXKc69+BhwQ0kb5193keO7O173APnTeSmMaA8cY+lpv1sDqUmk9ZmSWnLKzVJOHWj9TV2Ptu2K8eLUEMUjnYO3qNXlVYi7LXy89TIy2vhxMIHBV6oijQVIgozD2XaPoXs8RQrcJgSHHRuY6nRCN5A5vkZVRGFRUMe6xg+gl+ElPA12H843E+FD71rq8DDpsZmnPOXt2jCGfgNbv88NfKygp77dw8fjn51VfjOYcOF2kaFl7yZ8j3nD4/ZG6eMG4CDhhWInUo5Na5nO3mPHr5RX4D8M2fH1cBuNZhz7ZHc4w4b0Qs/Pm6U53vKM3c3tc/FkmO1up/a17hk3E/RjmPH+5gBXQCoylMTJJMv34YqzlzYe+XJplgOmjmFMwPdT4r6hcjjYp/Jl5lNBOVawvoazzhgw0Q/aQQ3+ilCnhpKVAgPBaKw8/9/Ons8RvXrgnvPmaDQ/eTdSSZhKo+VU+PzwjLpFK6dPgqzrzkSPTtXKpcLhBOFWVw8dU/ccvr+jj6oUqnhPdmfHL+P7/GyUUjs886kU+hXV+17bDcXn8iWLAv3GONxaio1up/Cop8uP3ovPYLh7atBitULVx6G08YPxHmHDOO2VSHfD7yxr2r3HqarqpbNtdQEWJ1UKdNilhrmb0Y+hVMT9syCSMjGUqMRPI2Rp2EOas9xYEPWJeHLqUnb53V+P6pfF/zvsik4alQfZURhWwZ7lycfMAAAn8CnC37DyW/M68hTY7/rIHMx9Xl7lBqE77L0Jd/z3ueZEwf5Hi9tqWGVmpBJnKe0KbXUtH/jJl/rys2U5WwaWFx+9AhcMnVPTbKdn4PucM/etbj5tP2w78A6AKqIwv7/O2TPngByC6lqsi6LMKVBtWyepSZIV0jEUuMTfUWxJvKUKrusT21lWeB9Jq3UlHTyPR5zndUw7zv3QHyyYTsmu/I8yL4SP4uBPRD9yKqAwjw1+fMVOt3Be/TEiz84HAO6+u+oVcNvUfFbBHXkqaks83/eNqicGp6lJgzsM1CZ7ZknO5VKYWC3any+Zafnf7L3bm8W0qloE+c7P5uG/X7+fEGulNT2tm5OTV6Jd5KvdaUIyEc/BfIq9ChUfokHg6AqVQQQbNm7YMpw9OpciYP37IEtjS2e/8flklBtqWnm8DJjiX6SJAqz1hnKtfCe2SF79sQlR+6Jwd1rcMqds4XaxonSttRwOuTx+/bL/z11ZG+cP2U4yjNpXDt9ZP576ZBun+9trfZHx470OYLl1KgnCgPAHr0653NWxAF2Xv/WIUPzf/PdEcTaTz7fV5V7u/f3j8ztom13FHXt+/UzSxyfRaOfVKbz9zOL+1vH5OTsamkDgMj9qc6Vy4b2zC3uJ/aZl2fS2sok5C01ATMnxewfBPdzi+LqsJ+DzozCQE6R/NqBgzCwWw2/VEFMlhrevykKFd9So1+hFXldfnlyKBsmvxJD+w7siq41FShnTn79CU4Xt+HUaAQ7kIb0qME/L5yM6WP6co/97uF7YC/bPSP5Tvyjn3K/+3SpwqTh3uqyuWPsHZWcbBv5nWsSwRkM2IH/sxNHY8YpY3HCvv1w2oSB3ONpRGF+Y96i++1Dh+G5yw/D70/fr12uvOBVm3egYZcz62aUx85er0pCq998Wu2beFDu3pvaJ/pKyXB0WvFS9xfeY8ozKY1E4WD3E6CvgrdfRuEg2Nep2/3Ek8lCVZhv2GvlKfaqOTVBSMJS45e+gzIGePJZhYmlcZx36DDHccZSoxHs7qSuury94Fk4yUv6lfg0jNLR7f5Cdz+1W2oS1mrc4s+cOBh//PoBvi4hGqfGz/3k7d6pVAp7963Ncz1UV/D1rWjJoIYp2dC1hm+5koHfK//DGeMwuHsN/nDG/o7vZdcZO9soqzTe9Y3xOHxEL4zu3yW0vcopL9/fmcUsldJZJiH3O3C3rkm4p6tGcXXaZRLiJApzVhVVqUukyiQoVmriUGh5j9qPf8fKzCraMPF0OdYCGWSN7BB5au644w4MGzYMVVVVGD9+PF577TXfY2fNmtU+KTl/PvzwQ2G5op2ZGoHkmwSOTbLnMxOpIgrb/SlhQ414nhrCjfs1DXKP2JdBmet5ifNSSIUu2hVl6XxUSlBmTlH4PfNR/brg1aun4iv7D3B8L9vPd7Xm3E+s0njsmL7463kT0bcLP2UAC1ryvWjQl1G4wCfygy73Ey99QBjy7qcYd896LTVhRGGebLUbpqBLUOV+4smt5LjTAadSw7p6u9XIl6bgJq5lbryYicLalZrHHnsMl19+Oa677josXLgQU6ZMwfTp07Fy5crAdkuXLsWaNWvyP3vtJR4qyXJqRLqafEZhH6JwhI6ezzqsiOBYbJYaGzry1PgtzkFKjf1OKE+bt3ilUtHeYb+6KrJ8r3Cxw2Vl8yw1NoLyV6iAH1HYjSTdT7rg5dSEt2E3S2S+XsRBqjP6KTSkm7OiUWTzHlmgpUZRt+Bdst985qgll07j0qNyayVFweL1lYzD/RRQ+6nUlZpbbrkF3/72t3H++edj1KhRuPXWWzFo0CDceeedge169+6Nvn375n8yGXGSq7ilhrbQ+U+w0WXTQ7rDd5JxwN9S46fUqJ14AD5RuHAdeuRGfeyq8hKxEF1oZRc5myjMc+8FTXYFuVJic219iMJu6MtTY5/fX8DnW3Zoku2y1AgQhXPtqfKjHcdPgKdIqYm5oCXXwxyDpYY3Ntn57NuHDsMjFxwEwJmnJpUqhF5Tdkw8Yjnbl+xUEfsN6uo5zrLURNvJQmtId3NzM+bPn49rrrnG8f20adMwe7Z/SBgAjBs3Drt27cI+++yDn/zkJ5g6daqwfMdAEuC1yE72YVW6o8iml0nI/VaVllwWfresOhIH8B9AVQEh3QUlUq1pOp1K4YDB3QAsD2ybV6AVjn3RNy4ru0AU9j7fKO60VZt3wLIsKWui11Jjc8ic32vPUxNwn2sbgguJykKCUuNwGbRlLRLnIyqxXGfyvbg5Nby1IOgSVBGFeVfMEv5/ykQcuZ+3/ZHyxHnPjO3zJ+0/AHv2qvXNfdaatVCR0M5aq1KzceNGtLW1oU+fPo7v+/Tpg7Vr13Lb9OvXD3fffTfGjx+PpqYmPPjggzjqqKMwa9YsHHbYYZ7jm5qa0NRUKNzX0NCQ/5vNUxPl8eY7g7T7iY8oE0lawSKbuwb+JB83/BQ5v+uiKRf876Nwaiiufp7YVCrHL/l/Z47DmAF14fITtNTIzvV5Sw3HEtY/Qi6k/5v5EarKM7jAp3RFEDxKjfAZaGiLYAm9eOqeeG3ZRuxoblMq21ulO8K8wrwiVRsmFj04KRqSTb6nls/De2buiEcWqojCPLl+8xlrMU2nUvkNLYm7xmnKuttTqRTGDvSf31qzWVQkFIcUS/I9964paJe29957Y++9985/njx5MlatWoXf/e53XKVmxowZ+PnPf849FzuQBnYLn2zznUFyqvTrROytDu3ZCXM+3eQ5RlntJ9tSEzC2fvvVfXHfG59hyZoG/4OIiJNT4/e+gkKOVXAi/HZxqVQKJ+7nLeTolN9+DvJVMLKFOTVy0oMsNRdP3RMrN+/ACUw+KB5ufGaJnFLjdj+1f+xSJU+KFJIfklEYAPYd2BXv/mwavvanOViwcqsy2Z4xEuF9s4ssRbFYU78Td73yieO8//3+oejPKZGRZJkE3r9V58DiJbK0oYwozNHD/CzPnasKy3gqpcZS80W99x5F5symliwUBnYKQasq1bNnT2QyGY9VZv369R7rTRAmTZqEZcuWcf937bXXor6+Pv+zatWq/P/sgbTfwDrc8OXRoXIK7qfIl+aAXzvWJHnNsSNx+oRBePQ7kxzHqOJYRHE/fW3CIPzsRP+aQCoQFuXlhg5OTdAEo8Iyxm0aceAX3E/qTOOiLhfZdaap1U6+550+OlWW4Y9fPwDHjglWamp9qqaHwc9Sc96hQzF5eA/88qQxUueNiqgFLcsyafz+9P3VCidkFAZoff30P811JKJLp3JRdXWcCBvVCfCc547OqbFfES8Ja1TwLntzY5P3y3bozFPTqdJHqaksvANWvOzr3t7UiuuefM/zvUhUnx0hmQS0WmoqKiowfvx4zJw5EyeffHL++5kzZ+IrX/lK5PMsXLgQ/frxJ8nKykpUVvKLFdoD6fazDvAtaOgAkawbJaS7rqYcv/nqvr7H0Me+7fMPPkpXgjAbfqf3+15Hnpog6CDqAtF5LVQFmtdWnFMjSxT2t9RERddOiiwr7fdQW1WOv7k2CjoQxf1kY0iPThgzoAveW63GIuqeG6Jx9RilhuBqXbnZSX6Oku+LhTJLTcj/WdllmTSaW7NEorCzbZeqMlx21Ajf43XOq986ZBiWb2zEMa4Esp2ZDUK6PQUKIG+pWe1jiRK5N3uOSALa3U9XXnklzj77bEyYMAGTJ0/G3XffjZUrV+LCCy8EkLO0rF69Gg888AAA4NZbb8XQoUMxevRoNDc346GHHsLjjz+Oxx9/XEjughWb8505qKIoC/uVSRe09CMKC4R0UxbZFZsasXF7M4BworB+pcaPU6Pe/URRatY1NOH2lz/GxRJFCLnRT1EfqwpLkeuzePSTnNwgS01UdK2Ws00nzamJ4n5ikVFY3Esmo7BfYjYqgqYPvUThME5N4e8KW6lRZA0d3qsTXrji8EgWYCp476pbTQVm/XCq5/ta1v0E+jrmF8AosmbsVMwnE4F2peb000/Hpk2b8Itf/AJr1qzBmDFj8Mwzz2DIkCEAgDVr1jhy1jQ3N+Oqq67C6tWrUV1djdGjR+Ppp5/GcccdJyR39sebCoX3Is4rVF8kZdyqqP100u1v5P8OG1uqzKR+ECetqicKB4G9vpufW4rvHjY8UjgyCx4nJWrUmQpLjTfEl9Y+KpRYaiQTg8nygFTB7mtRx4/KRHyeKt2R3E9s+3hI6XrdT8H/ZxWOirI00CSvUL23uh7PLGaoE1b4BlVwCvEF75L91jHWUqOCU+NbjNi4nwq46KKLcNFFF3H/d//99zs+X3311bj66qvJMhtbCg81qqWGTtaVH7gq8tRs2VGojhvW/3RbakR9IaprP8259sjANu5JWUY+xVJjKz+0+3Z+Fn2lb366GaccwK/FFQTbUuOX4TQKukmyCKMm39MFe4GM+p5VjjMPhyrCIGMXKJWpQ0SVmjZFGYXDHicr21YoZTk1J9/xhuNzlLPozCjs15dYojDATL2S71s0xxhgJx0tfN7VkpxSU7K1nxqZsLuoEwvd/STVDIC6PDUFJO1+EjuexKnhzJf9OFEZLNzXJ/PceS2iniZNnXkgl4yNxWPzVkntYgtuXfk+5Ed6DIP7aqO8tyP27iUli4esoPtJpaXGw6GKeGr1c0vw7KK6VIFDbhhRmLkyu76brPupxaUMRXl+qtxPIpmMWUvNjuY2hlMjd99sl+UpiTy4NylGqdGAJxauzv8ddWIpBveTqt1UqPspIU6NHygTrsyk5b48GfE8RSxqTowCUVlcLgAsWLkFZ94zV64xAxmlJp82gCBXdvKXUX6/cdAQz3eyLglbfNTxo3KcybobVRa1jCI7yZBu9nHbKR1UyY7y+JQl3/NJ7MkDm7pie1OrEte2jU5M8d0gK9RfvzUR+/QrFLNNkihcskoNi8iWGqL7ieLvtz1kqmo/hS0aqpUa93WLLlqqi86Fwb3jk1GMeC2aeeVtA+TLvu9T7piNha4cKDKKgkyfzbchTODSSo37c8DlP/69ybj19P2xLydJmHzRWjH3k8rMxu4rjsrfUlWChUUwWdb7nbropzCicOH/dh2yOGsRqXM/cc7tc+pUKoWJQ7ujT5fKXDZzYhAC+65YEnJQ6YOxA+vwzGVTMGWvngCStdTEwqlJGpEtNe2/VVfpjiTb7ogxhT6qJgrLkBhZNElq9q1tWSz+vF64nZdTI2+xYNHSGu08hb4mLNb/nBKvVM5C1S5PvGkesnO/SPTT+CHdMX4IsGGbN6+I7N7BnvCjKmXseKZuJLwZhaO1y7ufFHa2YH6FPkuNSJkE2/2k6r6jbAAGd69RI0uAUwMAj313ElraLFSUpRkahZxs9nF1Ylxb25v8MynbsLMeG0uNZkS31OR+yw4BipVld3c/ud0uQfL/cMb+nu+aWuUGwfVPvY9l67cLt3PfviUlPvey6qoLkTwtES01eVK6jFjfc4q3kVJq2n9T9GL5+3a2jDLmeNcpnzU89zvq+GH7QwUxNMbLqYnoAlOQPsCNIKWG92has5YSK3SYMsk+E1upUWWpiXL5bCbtioCM5mHgW2qCFUlbnsp1jJUYVB7Chq3U7DScGr2IOvipNTOKiSgct/vJTSUJkj9tn76e75okB8Ejb64MP4gDtxmbYqlhb7U5onKWn3iUkjfF3ynpvgm2GtVZu4PA64vyu1jbUhPt+FaVlhrXShf1bKo3TEB0Ts25Bw/N/61CfnkmuvvJViJVRV5F6TNV5Rk8f0WunA/FGs7l1ET2ONBoFOx7YueHbbtaOEc7UdWuWBmicJGAmieLxKkhh5OLQWVUBuDlpIiGfMad18B9DZToJ/ZUUS01BaVGWGzoOUUgp0SL8Ur4Z5DcOLg/RzgN7zKl3U95Tk20m29l+gO9WK0T0Xk9ud+qXEBA9OR7bM09FRu2ipDcSOwzKS/LfYg4JJXBrqatOvdWVCWpcBidU8PewjYBS41RaooEhdwhkpwazuCZOLR7NNmqLTUhSosqQpsN94QZdHauUhOzD9Z9/5Q8NewCF5UorKoqOwsZUqqUSqOAU5O4pUZywhdNvtfcxl8g5GS7xljkrMY0CzQPUTct5YzLTYX4MEtNw86CNaFre5ixKktN1LFqzy2U2+X1z8hJZO1zEK2R7r+H9ewU2nZQ95wSO+cTb9HmuGCUGgbU3TOvmbtwpR+Uc2pC/q/aUuMxjQecnue2aFJoqVn40y+FHqMmT037rp35Lqr7KX8OhZaaLY3Nwm1kuEQ8t5vwOWTbuR5YJOWEx6mRVqra3U8RZ06VlhrZuUGH+ymYU+PlteTkq7DUBD/4peu25f+2uW5xcmoAer4zQJxT45BP5tQwfwP4zyWH4vxDh+HKaf41r2xMby9kO2/FFqWWQRGUfPRTTUX0JF/UkG7eoI1qEaFyarwVm0PkKScKR99F6rbUdOsUnq1WBafG3gCy9ypOFFY38N9dLR4FRlLmSJwByXauz1HmTd5lUsNdI7ufWFO+lEQGktec0mIV9P+fo/4SgSzLQ3kI2ZoNQbY3bsry1ER8gyqoBNyMwjFxQ92WmrED6zCWkxaBB0cIuGUhQ7LnyqHklZpbvrZ/5GPtxy89+ElE4faJR3IAuqOHwrR65ZYagWfGSi7PpNDSZsXug/VaasTPYXG4Je4spH6gJt/j4exJQ4TbUNxPFMRJxue7n+Qg6n5ilVyq+0feUpP7rZZTExyJY4N1F6lxPwUrNddOH4VUKoXzDx2Gp975AkC8yfcANVQCkeR73gtoP4ekbJYfKeq5YzeLcfFD3Sh5pUZk8Sab7RKs/eTO8xJ216rSedsQmThY2VVlGbS0tUqHdMvCvdOWUSZ53JKo7qc0tbO58OIPDscevToLtyMRpCnuJ+l9g8v9FCWkW6V80egnjZyaqChwamjyWQQThQt/s9luVVglwzg1g7rX4PavHwAAePrdNQDUKTVxpQYB+O8qLk4NO6aEFXHmESVVfLbkOTWZkEHAgrrQuMfOl/frH7mtvQGRnbia2lyWjpDbVmmpWd+wC3fO+iTy8exiWFWhli1/5sTBkY7z5KkhjD9HSHfU6Kf23ypcApl0SkqhkZWvJKRbdpBZgR+54Id009xPUTcFDkuNlMQC6Jya+C01rPtJhW4hkusnozij8B1nHRDpODakWt4F5P1OODO+lGR3SLdYW7ZbJGWpKXmlRshS0/5bntfi/HzN9JGR2xb8sLTJ1n0+P/AGiOzO+6KHF+DBuSsiH89Oep0q1GWg/MMZ+2PGKWOFrwFQt7hHD+mmR0jYIOmnitxuYbjoiD2c51Dl4ZXk1FBzeETl1DQrDemW5dTkfssWduRh6sjekY6ryBQ4jSqir0Q4Oio5NXd9YzzGDe4W6di0goWdy8+MzKmxZUsqVMzzEu2z7DUapUYTRBJeUc2G7g4gIpsaodDq4nKESeZNyrJr47wVWyRbAoN75MIEZZPvsRBxqblfjVztJ+/iHpWYrjKEn2IxkepvHLdbGH4wbW/eKcRFS1hq+BmF5WC/r6gGA5XuJ9n2qkO6h/XshB8es3f4gQC6dSpk21YhPYxTwyKTVlfQUmYuB9RF+bnPGwQqs8DBqZH3Phn3ky6UCWXUo/me3c1EOhd1kfPkiVHMmQkCRdTw9twHKjg1IkqN+/nITPgsp+bOsw7A6P5dcNOp+0ZqqzLZIuX5x8WpyaRTjro48XJqvBcqn4tKzP3kLh9CCvOVXJxVh3R/feLgfJI1P/z65LG48ksjsFfv2vx3cqVInBBSalLq3E8i1lC2a6iy+gMSnB5pTo3jk1Bb436KAWIadu63fF0Yl6VGyHJAM5W6B26U2158wzTHjktWEeoRIYTaD8N75ZSa5rYseUclUlpHTfRTDqlUCtPH9sPTl06JzG2hmohZUPhRUoYaO6uuoIWIneCptZcK5wlHku6n7x6mxu0GyO/6VWcUjuIC+vpBg3HpUXs5FzkFO/eKsuh9zq7SraKgpdgGle6CEanS7ZFvb86lE0xSLDV0KxUVJa/UyEQ/yY4BdwcWsRzYUQKyFgtvRt9w2bVV5ehdWyklj0W3GnmlZtyggp+a6ooRUcrc71iOUyN/vbYBUcXAp9QUkor6av8tqgM7Hpcia2iUV6A2o7CY++mKL43AvedM8LSnyBaFaqKwCK9FNcdCzP2kzlIjMrewh/6nPaxcFLx3FbmGIdFS41f7SUR2Tn4yak3Jh3QLcWpA6w3uDiCS4K6yvaaJrFLjqZIdceyXMdFhsktjd5el5oIpw0LbPHHRwdi+qxWDe9BdEjbELGPOzzKZ1GUXd4BekoNFGaH6s4x4FeRHVVyDKMoJbxhS7yHqhiWTTmH8kILiTnnb0pwaha5OQCwCiX1KKvq6jPtJRZkEMb5e4dgf/OMdnDp+oLA8Fc9KxTilWLmMpUYTykRCuom7Z3cnElGoKsttS40cYVak9hKLDLWKJ3IWHxt79OqE647fJ7TNAYO74bARvZT4n22I3EptVTl+cvwokuw8p0ZGqSHupliQLDUkTo28+0maa+D+HOE0vOuMS6lxy6e8b9lnppKUDohZapzuJzpkLDUR82EGQohTQxdHQiGyksYbA8T7q+HUxACxkG6aD9bdSmQgUN1PImUKWJQzFylLOHVkDRVsq9I8LZpQ8Pwpw9GvroogW45bAtCTLbJIjlMjBjbaXfpdK5ooqQUtxZQatj1h59ve9Ii9e+G1q6dGbkfl67khptSodT8JhXRn1FlqRMZ4pesaZdYTSj8p8PXk2pPcT1CsxUqg5JUaIUtEnigsB7dpXGTis6MJ3JmBo8KbpyZaO3aXLxsaXEaoxOvI6UAcBTJZkvMTfsyWmjwpXVHyPVnEmVHYkalUWKrdzuV+UkjEjNQuH/0UvY2q7N32u9p/UFcMYiLJwqA6o7BoPacUoa9v2NbklC1gqbGfuzvdhQxE3ndZJo1nL5+S/9wioVRR9DCVqUkoyfdUJnsUQckrNTLJ99SEwgm6n8po7idvnpqIlhoCH8MG+4wpmj11IymzuNs6L2lxF27pzDpKBUWpkVKqbGVOsJmDU6Mo1FX+PDTenAhfThWvJB95JfjkqcVy3agUnDPy86qErPPuf9vxOaxMAgt7XlKSC0pQMR3ann8LkFOqaJYamlbDjg0R+gagJkcPFaWv1EiUSVCh4bLniwIqUdibpyZaO8qCmJfF/J0kW17OYmIrFxRLjYyFqP0cCoa+yDs8ZdwAx2c5nabd/STMqWHPIQdVmz+qhUeWOEpxAYnWnbKRStD9BNByMi12VZ4X6esqo59Enzm7WYyaZZyFfcVT9uqJ/QZ1xZkTB0VumyLOLezl/uXcA4Xaso/JRD9pglRGYUUkxng5Na7op4iyHUqfpH7D3jeFWEa21BDcT1J5aiS5JWyjuDk1vz5lLJ5YuDr/We6+c79FH7dD4ZXdRYZ81o02CfcTa12guELysgVX2Exavo/zIGrdVZo9W6DT5YnCMYd027JTqdxYaZF45/bcUpFJ498XHyLUls6pyTU8aFh3HDi0u5js5Ck1HcBSI8CpUdUZ8ucTsdTY0U+S5QJk8tQAzucja7NxuhXE2qYVjgLRyR5gJlwpMp99EuGm5FpfLER4Y+5MsLSaV3LtAEryPVWcGpp8EUuNvcABcvwKGzbvS9S6qpK/BUhwavLJ4Gg49+ChQserVGpkDNq28idjqRFN8siiEIRAc7HKWPFVE8NlUPJKjUzNDlXZTkVgu5+alUU/RWsn6jPlwbFYCXNqCiCHdMdtqYH4AmeDqkCzEI1+uuVr++X/prifRE01FOW3INvnWkTPQ3U/CVmAU8wCR+DUtAsXtUiqjLQD4iUKszh78hCh4+0NW9zJ92zYkaVySo3t4hVuSiYK26+JSnA3tZ80QWjCJ7oEKINWdUbhqB2SfT6yfZjClldJLJPZTZFIlJIWC6CwKKoY9qIWqlMOGJhPmBinpUZJnhor+HPk88g1y1tLhDkW9gJHqHHWJqFQAYVrla3S7Z7XRCKQAHU5mUQXWfsyE7PUlMkrsgXFQlwudcNkPy/Z9SDfzlhq9EAmo7CK6KebThkr1JaafM9jqYnYzul+kuvFrGQKUZhqqZGKfiKYavPeJ8LEoySjsMR92wsTQZcT59SoyFPjDumWPEtcBS1t2Aucm/smI1vUuEqt0u3WCdx5WMKgKtJPtJdnErbU2HOrFFFYws1po5B8Tw4U9xNAi3ZTgZJXamRqP0mbtNt/nzlxMM6YOFiobVUZNU+NAqKwJCj5R1T6YGN3P+UtFoSJR8HIl1Pmcr9l+rrsfaspk+D8/JtTxTYPfueJihWbdgAA+nQRq5lmu5+aW+VfuL2DFufU0DgWbkuHePRT7nfceajyId0JWWoq2udWuZBuW668a1u2k1PdTyrnNhmY6CcGBUKdnCyKH7RgqZHk1Ljz1AjUpqGCwqkBkI8SoPrcpZQaUp4aut87KUsNjWchd98qOTUHDu2GB847CNUVmcDjw88UHdmshffaQ4z3HdhVqG0FgTRqI+/6EnzfhZBuObnuPirOqVHD6RHtb/ZzUhPSLWGpsRVZAqdGxniuKvme7NKg0gotg5K31AhVV82bSakarnjbPFG4LSvlA5b1G5ez7icFnBqZR0fND5Q/j0RvVpGnRgaU3B1uyEUp5H7Hy6lxnEVYrlN2iqDQyC2wm3c0Y1tTKwBgr96dhdraFlGKUiNNFG7/fdU/3pHq5+65RTiku/133HmobGVfSZkEGU5N3lIj437K/ZZzPznPIYq2/OZcbkFQNZ/LouSVGhFQO0Mhb4l4Z6hhJujG5lbh9rK7EVYRkLXZsM9LZpFUpdnL5KnJ7yJJVbrlTcRJlUmgKFUULlH+HNKWGvkdLFU+6/4RrYxOjX5asakRL364HoC4pWbLjub8359v2Sks2z23iFoGqZYDG+JEYVupUcCpkehwlHdOsZYUQuhpHCppI35+HTWWmsRBJVjZ7eQsNem8Zr99l7hSIztwlbifmL9lLkOV1YKS2VfOYmErseJQuZuRcT9RcpdQlPf8OWTbqdFppCZ8ykJDyVkCAGfcPTf/t6jyzrqm33Nl6I0CNydFdJylCNZQ53nEji9TqNTIWIEp75zUzxVtzslE4YRMNUapYUDlOWQJZrtUKoXOlTmKU2NTjJYaBSHVDqKwzLNTxC/ZraKfFHJqKEmy5PLz2CcRb5s/h6yL1xZN1GpkLHMU8mY50f20pn5X/m/R981GXC1bv11YNhsK/o8LJwu3Tyqkm8qpYcXJcWrk33lBgaZYgYWb5mRn5dexXDs5uapglBoG1M6Q164lX2rnqpxSs01CqdklmYmYvVbZHY2TKCzenkrQdp9HBBnC4i6Zg87RRk3yPfFhTEmIpuKaqQo0xUqUky9HFAZklRp68j0bou4n1lIjs8CzARCiafMBdSG+spYa2egnVhzNOkfZMMlvWOSJwrnf0tFPCov1ysAoNQzoBS1zv2Un3E4VOaVG1P3UlrVw83NL858vPWqvyG1tgjKgiCgs0V7VIKCQ6kjRTzIh3SAoUy7QLFTi8vITrnjTPOKOhDlqZG/HZ5m+RsnfQbXUsBB1P7HRNxQlVnaRo7iX2UctOs6oBS2dCoX8O5fJTUTj1ORArkQvOcCpqVGoMEoNA2o670LafDn5te2Wmu2Clpr6nS35v6fu3QtXfmlE5LZ11eWYPqZvu/xyIbk2nJwa8WdHyurLnifuxZ1gqSkYV+gDXyqk25ZO4dQQ7MzUCENR0becvj9mnDIWVeXySQcpmVapnBoWghxlh6WGct/URU5ubkgxf4u1pRKFVVlqZErfUOYWsmvWVt6lLTU5GEtNEcB+GYtWbZVqT3Y/VcpZatjOt02CZGxbdlRkHKVMXNQxIFWlu30EUHawMq9bpaWGosxRxItKvWpadGXbD7LWsbrqcpw5cTC61VQ4ziMCGqemPbutCveTKFGYsRTQCNKyq6W8pYYVKapE54nCkvMamVNDyGhMyihMtHxTimmy7RLSaYxSw2L9tiYAwGvLNkr5Yak72M7tlhJRSw07UckoNdToI1Yh+NVJEhleVVlqZCwmCojCMlos1SrIQi75Xu43KU+NoNiLp+6ZtyImxVsjhbIrcD/JJGJzQ1Q+aymgWCTl3U/t55FY5ljlVdxSk1ve2iQVSads8XuvKKMQhduvgTK3SId0Ey1zrvPEDaPUMHh92cb83zLaPd1Sk+O3iCo17ES1bVeL/4E+oLp/7GbXn7APvjp+oIR8RZwaQhSQzFpDC+luP4dEW8DZx+Lm1PCuIdrxKQzuXgNAfsJVNU/K9HXZYpaAWveTMFGYeckULhGZYyFHuGPOI8ipSdE4NU7Z4s1tS42M+0kNp0a8LUAjxANqgyBkYJQaBsN6dcr/LTPpUYnCssQ2drcvY6kp7NqFm+bkty9QPTpXSLVXZbWQGYQZgkJXiFAQbgp76lERmRG7pYZCkCZOeJSoEId8iba2F0dq166SU0PIU0PJKJxENEyaoFhkMjT3E0U2wLgcpSLO5OWC0MdZ2TKbRIAdm8ZSkzhmMJW15TLMUs12cjM+e7RM7ShqcixqFvJEOTWEe0/WUlOQmpEI6U4TVneqRZI9h3g7+WcO0JQqCrekkLOEPtGLWuZaHJwacVAXOXXuJ0lOjYIcXqTcRDL1/JRwahJyPxlLTfFgeM9CPZc4uQY2ZNcZ9lr/dPZ4YblkTg3kByCgzgebkujNpCR0BK4BtZItK1E0GgagZlIWl2ejQCKUdD/lzyMnP03YRSaZUZiFqFLjzCNFIa0KNwVAG2NOsq5YW/tdt2UtuUK7nHOJIK/IEiw1pNpPwi3psgF1eYlkUdJKjeggYN8hJW1+7PkcmOOnuvJxRJOb+y2fSTn3W16ZU8OpkbPU5H7H7X6ilClwQ8ZSA4oyl6/SLf+8pW877+KVQ0GBFm9LsVgkqdSwIN03MVaYqliIujtZt6yMtYbt3xROjUxBTTbhoSjyTcicGrn2quZzWZS0UnPM6L5Cx7ODljL4aUNffIG1j5av1SG/wLEXQCWW0aOf5N1PpDw1CSTfY281/tpP7dcg3JIebkpRqNh2tHwt8q6IJEK6WdDy80hu1uy0CTJtCYoFdT53KFRSSo38O6fwM+kZhdv7ObX2Uylzau644w4MGzYMVVVVGD9+PF577bXA41955RWMHz8eVVVVGD58OO666y5hmT88ZgRuOnVfoTbsO5Sa7MkTrn0eMeS1eimp6kIAZeUrK5Mg44ZpbyMVwk8wG1CfOTvZJZZROIH7pihUDvkES6xcSHd7JEzClhpKnhoZNydA5Hgwtyqs1DDXK7Vhcri+ZNxPhDw1BH4mNfCC7H4qdU7NY489hssvvxzXXXcdFi5ciClTpmD69OlYuXIl9/jly5fjuOOOw5QpU7Bw4UL8+Mc/xqWXXorHH39cSO45Bw9DXbVYhlxllhpZs53kLpacuyMtv8ABCiJSEi2TYN97zBaLvHVKojGc71qqoGX7b6mJj2ShsuWKi2VEE8ZYDjLPvWgyCsdsqaHmqaEschSyrqNYr0x/Y9rI3HnBUiOfUVgqTYV9DuGWtmya+wmK5nNZaFdqbrnlFnz729/G+eefj1GjRuHWW2/FoEGDcOedd3KPv+uuuzB48GDceuutGDVqFM4//3ycd955+N3vfqf7UhVwatrPI7mPlN3FUqqDA8QFDjT/LyAfHeG+XpnJnlLQksapkTTLcWRWlslHP8nN9QR/P+22mYmS6H6KOaNwRfs7ammVu3NWcRW1SH55v/75v2XGODWjMKWvOYnC8kqNbFi3rGygQBSWCukmKNBUTgs5hF8RnUAWWpWa5uZmzJ8/H9OmTXN8P23aNMyePZvbZs6cOZ7jjznmGMybNw8tLd7Eck1NTWhoaHD8yCKVShFfCJFg5TxNdKlEkzw9o7DzPKKQjY5wHx83YZdSMZo68FmZ1RWZgCPVy6f1N4IrAjSFCmDGppTFot0NI7PAtQtukcx/wM4popa535y6L8YOqAMgaaEiblry1jEZsq7P31FAdT+xLeTKJCTFqbHPQXM/SXOo5A2JSqBVqdm4cSPa2trQp08fx/d9+vTB2rVruW3Wrl3LPb61tRUbN270HD9jxgzU1dXlfwYNGkS6ZsoCb89XVDeQrH5LTWMun1FYEadHUD57vfd960DJaBx595MNiqVGViors6qcotSIy1bDqZEDmVNDIGhTFveC+0nuztmxLapUVVdk8lGRMhYqCpcIQP5lydx5TUVZ4TSinBrW/UTIGA7IpYtIjFNjn0NykKnjUMm1pyIWorB7sbEsK3AB4h3P+x4Arr32WtTX1+d/Vq1aRbpWWoivGjeQ6I6G6v6h5JEACpOVDFE3Jx9S8tkwzfFDuknKJrifCFymArdD1lJTQLWEUqMi6aCMapE4p0bS1QkU+ogUUTjvfpKz1DjdTzLKe+63XNJB+xxE95OE7EHdqwEA+w6sE55XVbqfSJwaCescaW5RFHofN41CFcrCD5FHz549kclkPFaZ9evXe6wxNvr27cs9vqysDD169PAcX1lZicrKSmXXnOsQViJEYdkdjaqIkNy5ghVOHrLEQSCbEI2dp2TJk0qUWErYpYJxXyPhfiIVdmz/nYSFCuQJl2KJlecaVGTkFzi3TJm+TrJQEfgdOdk5yPF5cr+/c9hw4bas7peE+0m27A1A4zFRnndONtplSzUnb1yo0GqpqaiowPjx4zFz5kzH9zNnzsTBBx/MbTN58mTP8c8//zwmTJiA8nKxaCYZ5Bc5qSrd9jlkLTVyE27eUkLcScnIZtvEHZHC7r6o90553xQ3TO48ElwD5gQylpqkODXUcFOypab9t1xtN3mXQL64obT7qfC3XAi//Ve8CyxAdDkS5lQqR5JtQgrpJkQ/kcaYRNtcO6LHgbpxIUK7++nKK6/En//8Z/zlL3/BkiVLcMUVV2DlypW48MILAeTcR9/85jfzx1944YVYsWIFrrzySixZsgR/+ctfcO+99+Kqq67SfakAiDvYhPLFZImmGuqOhk4sk3vm7LXKur4o4eyUnQhVkXRwaqSIwiosNTILDaTlsu3o7idxkDIKJ+x+ojx3u428NZRgHSPnwKL0c4ZTI6XI5hrJZDOmKBZUTgvZ49AOFdnSZaDV/QQAp59+OjZt2oRf/OIXWLNmDcaMGYNnnnkGQ4YMAQCsWbPGkbNm2LBheOaZZ3DFFVfg9ttvR//+/XHbbbfh1FNP1X2pAAqD4K3PNmNwjxqhtlSLiazZThV5EpBd3OV3sO0X0C5bUJljLpZKkpabeHKQm3gKyFoW0gJvr35ni6MauxynpiBbGISFJj/hJpVttP1dvfd5PabuLVZShBLqWpEvaJmQ+4lAiKdy9tznEQFljAG5ft4G+aKWNihKTdxVuqmcFmV5iaRa06FdqQGAiy66CBdddBH3f/fff7/nu8MPPxwLFizQfFV8bG/KLRZX/eMdfHX8QKG29HwttoYtzKrJtZdNa81YOeSiI9rPQ+TUCCs1Cjg1mbT8ZE+r0s1YagTbXvboQsdnKfeTLTtmTo1kIfqCbCKnZuP2JgDA/838CN8/ai8p2XIh3e2WGtmK0YQ8NQDNUkPPWyLvjlAzp1qJlGApI5TGoM6p7DnE29E2qVRrLBUlXfspblBfoqyGS605RebUEPPzyOYOYXdfspOevdjIhV0SZBNcfrOWbnB8lslTUyDsxswlcp1DWLb7RIJYU79LriGIId1E95ODUxMzUTi/c5d18RJ4VFSrAY1O4D2PCApzi8w7l59TqZYSejJX2c25GhilRiHIhLr239LuJ6ILBqBxamQXGtkJl91RyN57YTclk8gi90vOUsOchjj25ZLvERY5FVFf4mJz7YgKPAWU0OZyovvJEelH4dRQaj9R3RGCotfU78SiVVtz55CSrMa9zJ5HBKTke4ScZ+SisUROTZqoVFFhlBqFIO3cmYbC5QLImYxVcWqoPlgx4W1EuQDV700g8xGtYyySin6SKuSZP4ekv98+D5XgIXENlCR0FYREbG5Q8tTIrDTUQABZHtV598/L/00PBBC/8R6dKvJ/y9y7iuR7FDK+rFpByWack09TqqgwSk0AhCdeKsEqL1esXcG6SVMqcrIp/l85UMskyHKJANpuym4hI95hqSHuacolUn9SkrGpCDeVBTXC0HkuseMp+VrsBa5Zwv1Uv7MF67c15T/T3E/iL7zAqRFumpMt2deWrCmUvKHz9cTb9uycy392/qHDpGQnl3zPeQ5h2YrK/Rj3UxFCNsSYTBQWbEevh0O01NjnkRwFsj73LHGyBYi7KQLBg2ods/HX8yZKtSNlFG7/TSlLoYp/RoEsd00qozDB/eQmhtPcT+KglkmgZizPnUOuHYnP0/60Dtmzp5RsClGYVPsJcuuIDar7iVIWQwWMUhMAkZfSlrXydV3kkxa1yxU2i+d+U3dSMrIBei4JW/7ClVul5Mr6+gEm66dMgiwF1aoB2o6mQrJAi+wO9outO/M7aClLTftv+TpjzvNQIJtCQC6kW155dhPDZRPRAbK5YpznEJbd/pvSz6k5sGTKJFDcrAAto7CKuUU+o3Ay3FBVMEpNAKJ2CsuyMO33r+CFJesAUPLF2OcTa6cqpFpGtkO+5I1vaDet/+HFZULtqKGmQGEHTbHUUN0wSexgZXMDnXf/2zTZxF0cNdspC/EUAvKWwXxBS8noJxZSlpr233FnUgbU5C2Rjqy0OTVSBS1zv2V7mh39JJUjh7BRJdCncu2oSiwhslIFjFITgKh9sbG5DZ9saMx/JhNmhak8tEmHbffO51uF21NDANc1NIUfxJWb+03h1GQSCul29BGKUiPZTtYN9OHabYxsgmm8CCw14u7l3G9KzpJmyegnFhQOl8xTp+7cVbgc5Tdsud9JJP4rI7gcKfX0qJwasuXd/sNYaooPspqm7CZSVsMlm4eZdufe93bAkXzQicKFv0VqMFF3kABjqZEK6SZMPMzflMRg1DB+mmz5NvKWGvtEkidgzyVKFCYs7rb7STak28bFU/cgRdtR3MvSnJr23xT3k/yGzXazylhiaYs7rUxCDnLDm7hxaP+dpGWOAqPUBCBqn3B3HsoiKyLXT35SoPpgATHfN3WyZdsmaamhvD1pBdqWHbOViLqLU5FptXAJotw1+f5mu5+yFi1l/4g+tVLtKNFuhZwpRAu0VGv7JHLNKNFPedGSskmJPQkbVfLGgWh5pyiSKmCUGg2gcltEu0Jes07obVKjvtjBIzLhF0JsCZwae+KhVNIlEoUpg5+6gyX5vaXuW66P26BG+rEQrgpPCukuNKJYa6T7OokoTOXU0N1P0q6v9jmRVo2e5n6SmVsoLiDKxmFXSxt2NrcBiH9zrgqx1H7aXSG92BDNdtmsBcuyIk9g1Ho4vPOJTJ6F6CsFlhqBlcaWqyT6SWo3RfF7M5aaBLawSsJsSf7+YuDUyLl55TIKF3YclAR81NwhNKIwbXxv29Ui1Z49hyhoqQtoCjQlsSfFCiy7cchmLYz/5Uw0tis1dKJwMjCWmgBEdj+5PlMH/xMLV+O7D86P3I6cV8DnfFFBNTOy1y3ifqImBQOIRefsP6i+55h5LWw7kXe3abuT0C014bb/pk54SVhqVLifAFoEVNxWYICmzAGFd3XNE4vxzOI1UueQz4Fl81rE26qKfpKZWyiJXGU5TI3NrXmFBlDh2jbup6JD1FfifncqCLPPf7AucrsCsUuRpUbyeHllrtBOiihMyigsH3ZJnfQoC40Nedm53yLzzvf/tpAsm+qKUGmVFJ10Ke6nTDqVf+YtUgUOIS2bbUchClNdnQBw3ZOLpc5B7eeU6CdZ4faGSXRu+WjdNjzdrvzFScZ3Xya97E0yMEpNACJPAO7OIPlUZSdqWxFQZKgRngAKxDJJgaylRir6iaDU2GGXMqnM239Tk5IlE/0kbpaf/ckmsmwZCxELlVZJ2ZBuWXdnWT4CKgkOVe43JfkedZED6FmJRaGCtCo7Lxdc22Jzy5l3z2Vki0O2oKV7LqBuzr9139u49ol3Jc8iD6PUBCBqn3APGPlCYFLNlIa5AsADc1ZEPnZncxu27WoFQFAumMcnFv2U+02JfiKFXSrKpBx3BBIrO+6okIJpWk4mhWvghnzyPTnh+azCpLBumjVUyv1ku3kVbNZkxyo5pFvK/USzNchGXm1qbM7/TYt+kuOM2VBhef/bW6ukzkGBUWoCYEUcCO6uoyIKSARUoq4bv/zvB5GOa23L4qBfv4Cmdo6ArHh2cZGLfpKTC6jZPdPzEsmDLDtmhYqaCdhSqMHLECkB+cWdkozNBtUamghRmGlWJvDw2HbSlhpClW6qAu0oWis50CjuJ1FlymNRIro6k4JRagIQVdP1mO0URAGJQGXlYhEsW78dDe1WGkB+N8U+PRn3EyX6qWCpIYR0S8rOu58I5hJqplWZmjh52SRLjaT7SWlId3zRT0CBLPzEgtWR27itOmT+ViLuJzlLDSuP6naTcj8p4szl5MudgxRZKSjTPfeqiGZNAkapCUDUceA128nJo3pv4taQP1zb4PpGkhPEPGgR3cI+lsSpyRe0lN/BUv39FMiewlYEKQqVzPumJwaTlex/rqigZBQGCjXO7pj1SeQ27nBgcpFBibZZYpQh20xMqWHPQeWOibelcubYdyWbcJFW+0lMpnsOpOYlSgpGqQlA5Ogn15HSnBr3eSOORNXup6hYvnGH47O0pUaaU6Mg+olQPTk/6UnKppJm2XOIwn5m8VtqaG4vlQq8LJGSwuEShSeykrhhokU/0fkwIo+OXRypLiASZ056jBX+lh3jpOgnYSK82+MgLhsA1jXskmuoCEapCUDUjqhu4nE2jDoOk0pH7XbZqNDQhTg1xFBTgLXUUDIKx7+LtCEdmaHAUiPHqcn9ls5krDCkW3TcqOBwicKzYSISZknuJwWRS0KcGsc5pESr4dTIiXaWQonT/SRJCldlFbQtkknBKDUBiBzRrcj95G4XWalq/x232U+V2815zuhDUcXOOZ98T8pSQ1vk8pyaBCw1mTyXiCKb4H4qBkuN4PFUbolDdsQH4H491PpLNKKwlGjHsiyiGDk5NbSNg0w3p6YPcLifErHUyCntVBiicBEjMlHYG/8kJ9BjqREjKsdoFW+X6/ysYvcswm1pIxbaAxQVnZOULcsvcUaFyMmmlIfIy5ZqI7/IAGo5NaJWKpXuJ1krrHxfI1hq8pwaFZYaSU4NcaMoZ6mh2WrYa5Z3P8lYanIQttR4ODWyNArDqSlexE0UdosXtBTFrSF7o77o5xQZ/IXoJ3l5lKJzNuhh1WLTj8MsT0wMFreVqNBGTm7BOhb/xKnS/RR5w+KOsiUThWUsNUTZLKcmMUsNYdNC3DgA0dODuCElOmFOTdLhT0apCUBkorCqkG5p9xNtJ8U9ZwTZygYBA6GQbuIOEiAWnSPyO2SzvKohUCpwP5EKWsrJVEkfkw3ppqQQsBE9WbmqiJTcb5nXnd88SCffK0DEUuOwSMqJVuN+IsrOyZfruDI5kWTG5abtTfjNsx86ZZuQ7tKDLFFY3lLjdj9Fa2fzdVV2piiyVWWgZCGTUTix6CfiTk62UjariMjeeWKWGkJmW7adGmuJ6PHqNg9Rn7uHU0MMbZZ58Bbxvtl2Iq47p/IuKbt9haMVjaVtWgACp4awcQCi3/dV/3gHry3b6Pgu7tQkqmCUmgDIEoWpYZc2RInCKntTUpYaEZ5D4tFP7b+p/n4Rl8Cz7611fJadcFUQhWVACS3OtWs/TwIFLZtacxWMK8vo02b0HFhqxhjF/UTNz8M2k7bUJGCRpJdBSZHTNshtHApoilgR/q3lm0POJCLfcGqKFpHdT56wS7pmDwiUadBAFI4yB3gtVPQLELGYqCBuypLqcvLdZ5GTLpJw8MKH5jvPQPT3U8oQUSbcLTtapGSqzSgsdrxd46xzVZkC2VEtNWqJwnLup9zvuAtaJh791P6b0teoaRvkIgwLbQ781QuR2vCerypLDbWGliiMUhOAKC/jo3XbcOqdcxzfyS9xbveTmIlarftJwlKjQq5E7SeKMkWJCqEusDKWGjek3U/5HSyBIE00jT8w5zNxoUr7uthz396UU2o6VdKVmsiSPVZgmmIhssCs2NSIKx5bhCVrcpnDVbjV5TMKy4EU/aTAKkgq0wC5+2af27amVv8DWTkcQarK/cRsDDZKTRCi9MNv//VtbNzuTDYkvchKup+QUESI1+2WEKeGpNQU/hbdUSgL6SYMemqhP0IdT0llrtDoZ0+9L9xaJafm23+dh9/P/Cjy8Y3tC0StAqVGmlNDnFpEFpjz7n8bTy5cjVlLNwCQ566xrh8RknVKpaWGlI9Jumn+HmTdvHIRhs5GUeY13rtVZfk3lpoiQpR3sbbemxJakU4TeQIqlEmQk8uDlKVGgXy56Cd5eZSsn3RODc00DVAsNbnfcU/21N13IXU9vbOt2LQDf3hxWeTjbfeTEktNRAOZKmtovq8JtPlkQ6NTtqRwtvqzEFFYgexCRmHxthQLqo0McYzLKHNu3lIU2Xz3k9xDd4uL2VBjlJogROnUvEVYuvaThIYNsO4ndVpNFNE6op+k8tQo4NSIygZATtlf2D3Hv4tUklGYUkEYcoqJyuR7omhsTp5TI1+qIPf78807sLmxWeocsqHsLYw5sEwgqVTa0VekRCtxP1GQhPvJPR9GsX5z5Ug+c/e9fr5lp9yJJGGUmgDILOyAyjIJ0dpZaokG7bLDhXvy8yiQ+/qyTZGVuTYFu3aHpUawLdVSk5LYPXvOIZ18Lzf04y9oyf87KsjcbAK220RhSUvNVdNG5P+WrisnJbnQzzc1NuOAX84knUMUzhQEkpyaJJLv5WVLiXbIj9P95H5PUe6d93xl37f7Vqf+bhb+884XUueSgVFqAiA93Usvcs7PohNf3NFPnl2kAkvNX95Yjl/894NIxypJhsY0jfK8W9uymL9iM1rasso4NclYanK/l29slPZ5y4imdhGVId2iaGzKhXTLKjUXT90z/3dktpwiTo37ce1qaRM+hez8YofCA2J93cmpkZNN4dQoIQoT3F+AnDLnttREeeS8xIqyd82bT+565RPJs4nDKDUBkM4CKc0aF9ew2eOUTvQyVipF4u9747NIk1CeU0Poxez4j/K4/7XoC5x65xx89a45aGnnCiRapZs42X+8fjsemrsiNtlsH5VprzKkWwRNrW1obo9/l+XUyOQt8fLWaK5OGzwuYOg5JGXbyiAgZrFw5KmRTTpIUirofc2eX3a1tOGDLxpIJVFEZdqI8sxVcmp44uIcr0apCYB0bgFJed74flp7CmSIwiotRQtXbYksX0VIN5B73k8u/ByLVm31PX7+itx1vbNqK+59bbm03JxsWy7FUiPrfiq0+/0L0ciyXlEynBrn58amVrz56abIO+mkODU7mwsLc01FRvo8ooqsaqKwjTUhSs0/5q3yfCfLXdvRXAgrFlEu2EumuvSTqP2Uk59r/K3738Zxt72Gv3OeaxCoeWqAiO4n7nmERfvKU1nCJwxGqQmEpKVG0eou7n5S13GiSNYR0m3jgzXbQo9RkaeGfVVvfbYZVzz2Dk66/Q3f4ztXFhY0O1EgOfpJrnlOtmQ7doGSXayorzuFFL7+5zdx+t1zhXPWxG+pyVlpMukUymWLIEGcHO4xhipIgAcA6xqClZof/vNdz3ey09qOZjH307qGXbAsy0UUTpBTQ1Ch7evesC2X9uOBOWJWURVLSZRUVLznKzvGeI86zuFqlJoAxG+pcWvY0drl3U8Ke87Jd7yBVZt3BB7jtjCotNQ0RfD52+Jp0U+FtsvWhStSu1q8MwS18FsSOTTYaxZJXe+QLdOGadTclsU77Vaxx+Z9Hqk9tYioDCzLQlP7e68gKDSAuKVGFRnf3Uc3SURAySoWrJWrsak10B3yxILPcdCvX8T1/35fTUh3XqkRb2spmFfd3UX0XCrm9CgKHc+Fr3KTHGcONaPUBCBOchfAi36Si5BQgRWbduBHj3t3ayxUFdvjIUrNkjYFkw7bNspz3MlRtqjuxiSin1hFJmqYrfsoFaZxG6LpC1RZQ6Pgggfm4/jbXgMAVJbTpkxxTo3zs6rKyUHP2+9/srIbGffTm8s348t/fN332Jv+l6sU/eDcFYqS7+V+0yw18nBft+h4VTGnRolw5AVbqBxhQa/Psiyp2nt+MEpNAGSTL8kn33M2jD7R090wPGwNqc+jI/mejSjRGfk8NSROjfd8otdFDemOOuE+/KbXdE1NSgYAZZJMaxUkRlFQi5h+bcJA4TYvLFmXTzdPLWZJ5tRIa9DB52XhV39N1kjlPt37XzQEHMuXTbVQkaKfFHBqbASdq6m1LV+KI8rxUSEd0q1w4xB0pjPvmYtDf/OyVEQeD0apCUDSROHoeWr47XWDfT4ThnRTUr3YRhRLzR9f+hgAlVNTaBvlcfPcT2TLXMT3fN2T73llS0l2KoJxcmqoO097cZJVZH998ljPd0FuVvfGorJMniQMiFtqVFlhvblL/I/1cw/FQfb0uy5pS006+LxBKLx7NZum3Gf/cx1y08sY87PnIh8fFVH6EE+Myrcd9P7mfroZaxt2BQZoCMlScpYSRZyprQFvJ4psMtVAFI4C+/p++ZXR+MeFk6UH4IPfnuj5LoxTs6ulLU9AXL9NPDzVBnvF0pYaadny/n6q8IzDUiPbX2XcT1Ki8siTwyWvuSyTxvBenRzfTfnty77Hu99NRcKWmjjmFj9LTRy8CN/rInJqZJLfqdgsujcMQady1xAMOz4qZEO6Vb7vKKdSpsCrOU3pYMpePfN/X//v97gdLQzy7gjn56gFlAt5auJFgaCcIg2AKXv1wvH79nN8x7OIOP9fUC7qdwa7yYIgWvuJayIlvm8LFrJZC4/P/xwLV/JD2VXvntMSnBo35Cw1NCgpYiokz22piZdToyr5nrcEi/+xfvwGWW9E3y5VkY9l3UTLNxZqT8nKtpUKqZxjCtIHiLiforSXQSSiMEeMStqaIQoniDvOOiD/97wVW3Ddk4vx6kcbsHJTcCQQC/mO6DYRi4V9qu43YedTscDYcFsL2CykPLDuKbvQoAycROEIlhrOdVFrfWUt4NYXl+EH/3gHP/jHO9xjW3wWGtknX+YI6Y5xGiB2lUK9L/lziPRX1UqNaDSOKk6Ne4EK6uv+nBo54Y9ccBD610VTbHwNNcR8TDRLjUL3E7G9DKJsjrVbaiIco6KAKGCUGg9qq8odO4vn3l+Hb/7lLRx2s7+JWhW8E0/w8UvXbsMpd7yB1z/eCCBebRhQW57BzZHw49Rc9Y93cOytr2LbroJ1ZssOuQJ9gPOZRYp+alZHFLafm2VZeGJBLqT5U1dlZBu+Sg0xfwcQ3f3klqWSUxN1I60mN1H0tu7rUsWpiRoE4D5M2v0kwNfzUwBk+9rwXp1xw5dHRzqWUjKEhzKKUqPAAu6e10Sj/1TM6PK1nxQIz5+rRCw1W7Zswdlnn426ujrU1dXh7LPPxtatWwPbnHvuuXl3hv0zadIknZfpAfX5y088YpaaKx5bhAUrt+Lpd9fk2ktJlYc9EFV0WDdHwo8J/8/5n+PDtdsw84P1+e+2hERphaHgEgg/lksUJsqNMo+zlY5VyFaTfE+8HSV7MqCoMrtAU/cYVMWpkbbUSMoVmVv8FGjKIhf1ffmFH8v2G9sK6Wd9igKV0U9+j8Hv8lRsVLOWhe1NrZj+h9dw83Mfco/hXZfKFB1x7re1KjVf//rXsWjRIjz77LN49tlnsWjRIpx99tmh7Y499lisWbMm//PMM8/ovEwPqIu0fEi3E2FKDZv/gSLX93pC3U/0PDE2olpqCv8vKD2kgpZgM/uGT3w8t5i8paYgN+wc/pYaOdms+ybO5HstPrN3VNOz6tIY4fKcn+nup9zv6Pfr/KxubvE/Vkf0U9S2qhd3u59T3E8UeN1P/Pvwt47RryFrWfjbmyuxZE0Dbn+ZX1iS736iyw46P5DzNuShyEgnV5ktApYsWYJnn30Wc+fOxUEHHQQAuOeeezB58mQsXboUe++9t2/byspK9O3bV9elaUccJmIA6FZTgRUM1ycOE99vn/0Q81dswYPfPih/fSp2E1EtNTbYRf6+bx1Ikm1LDtsM3vDU+9i43evqqi6nuSSufWJxqFvDn1NDdz+t2rIDt7/8Mb51yFDUVBSmhC2NzVi/rQl7961tl+WSLSG6zcfi5PfsZ3+yEau37MRpEwbl2hOjnwAiUZj4rvM8qohBAF4LhRqrmhSnhqLUeCpHW9x5g3ddPTtXSFdGty01IkrNfW8sx5YdLWqqdEd02arOz+M8t3cD7AbXUqNwOfE71zG3vqpOSDu0WWrmzJmDurq6vEIDAJMmTUJdXR1mz54d2HbWrFno3bs3RowYgQsuuADr168PPF41qC9TVfRTmMm1e6cKJXJFcMesT/Dm8s2Y+cE6ZtdMP6+XKJz13D8bGdHavjiO6tcFh+zZExQUwmyDn/f9sz/jfv+lfeQU8CVrcknI1jU0RbDUqA11ZRPurdq8Ezc/txQ3Pr3Eccwhv3kJx9z6qnM35RAtLnxgt2pUCWTl/fo9b+KH/3wX762uBwDYuh1tgY1+rOVSPlRZamRrP1ELO9oIDOn2c3WS3DDOz37ied//9IR9pOXa8wqrqP3trZU47g+v+VYq//l/PsBtLy7LZw9XGtItqNSoSIDXlrXQzLF8z1+xBQ+/ucJXwTRlElxYu3Ytevfu7fm+d+/eWLt2rW+76dOn4+GHH8ZLL72E//u//8Pbb7+NI488Ek1N/NDqpqYmNDQ0OH6oICs10nLdfu/g47vWlLvkxtdxWrNZpYU03YP/kw3bcdCvX8TP//N+/rsWZnvb3L66KUn41y76tvZkfqJw5z2JClZRCXuCfmG20q4vzmN76UPn5sHOA/Tasg1cWTKy0+kU/n3xocLtPt+yE0BB8aREP4mME9WcGls2e9p7X1+Oab9/JV/00CHfNQlIF7T0RFb6H9vqY0aijHO3Euq3iPM4NZQFsRD9VLina59YjA/WNOA3zzr5Jc+9vxZ3v8p3z8giqk7i635ScA1Zy+Jaek+9czaue/I9vPLRBp+QboVKjbIzhUN4hN5www0eIq/7Z968eQD4ndFPK7Rx+umn4/jjj8eYMWNw4okn4n//+x8++ugjPP3009zjZ8yYkSci19XVYdCgQaK35EGUl7lxe5M/Y1164nEibDfXrUavpcY9EbIDL5NOKeXUuJ/5rpYs1m9rwn1vfJb/jlUC7J2HyK7fXza1vf4h2+xL3pTlGnjb+ZXF8E3GJiUZGNGns2RLtt4XxSUQ/Vj1Id253yyn5pf//QAfrduOW2Z+xJHv/Cy/YXKfV9xSQ4n8d1sc/JQq1RWeeZYaGyw/bntTK7774Hz8+hkvkZYyvN39dO6nm/HTf3kzg/tzieRl58+dBddSY2P5xkbtnJoo51IV9ybcTS+55BIsWbIk8GfMmDHo27cv1q1b52m/YcMG9OnTJ7K8fv36YciQIVi2bBn3/9deey3q6+vzP6tWrRK9JQ/Cnv/LS9djwq9ewBWPLeK3l3Y/RdvN2HC7bHSY+NZv24VDf/MS/vDCMuxg/LJljFKjxlITfkwLMzDtibeKyHEA6BYuFe63sAGtPPqJ8854xTqBAD4CoZ//6NiRju+iTmj2tdDqfckThalVum3ZX2zd6fnfDg7vwb1xUsXXC0y+FwNR2J47rPbInCCocP/w+jCbn+m1jzYEyFerQD84d4XnO7/aVKqin5r93NfIDWOemLhDulVF8wuzr3r27ImePcM5DJMnT0Z9fT3eeustTJyYS4P/5ptvor6+HgcffHBkeZs2bcKqVavQr18/7v8rKytRWVkZ+XxR4NeRdjS3oqaiDP/vxZyC9a9FX3CPU1dJN/h490DVYS+44+VP8PmWnfj9Cx/hjIkFK5hlQan7KYrvmHU/2bssFe4n6uCVtsylCs8wTIFVWcU2Jy/4/2zfsk3XOeWPdZlR3AKiLexF0G5PUWr8/3fHrI/x0pL1uP+8iehcWeZRKmSzL9uw19ELH1qA35++H04eVyiwybOQeGjCsoqk2/0U0AF0RD+537fd3y94YD5eWLIOL1x5OPbszbfg0fpZgFLDnHZdg3+pFcobp4ayq3I/BVlq/DPCdxD3U1SMGjUKxx57LC644ALMnTsXc+fOxQUXXIATTjjBEfk0cuRIPPnkkwCA7du346qrrsKcOXPw2WefYdasWTjxxBPRs2dPnHzyybou1QO/F3D0/70CIHxXGYeJOPd/52eVmrUN1he7g0k819xW4NToCOnmX0vhhhvbr0WJpSZiFIZOhInzcz/JXmVYNAhrmtcRbupeIKM+b/taVMpmr+G3zy7FvBVb8Pz7Od6f+9ap2ZfZBfr/nne6m3i8B1XJ6NyXHcipUezqBPz5gi8syVnzeRXoC22lxQYm38vnsGnLIsCQodT95Aff6CdllpogpYY//5oyCRw8/PDDGDt2LKZNm4Zp06Zh3333xYMPPug4ZunSpaivrwcAZDIZLF68GF/5ylcwYsQInHPOORgxYgTmzJmD2tpanZfqhM/z/8KHLe+GvKUmOpkv9381JMKoaGTMxE0tWa3RTzy0OhSs3LVUETO8AvxJ67sPziefNwzs63P+7X3xfu4nWeUrbLFkkwyq5tQA4pYW+3LtHS3JUuPz/WrGJdStPbLQ/Zxkc/rYYJu7+x1v4VWXp8alRAaow/5lEuRkA95F052ZO6g70pL++SffK0un8NG6bdjn+ud8k9IB1JDuaMf5hfirmFuzFtAcUHYmBT5fKu6ClqqgLU8NAHTv3h0PPfRQ4DHspFxdXY3nnnsu4Oh4EKaUhK0j0hEpwpYat1IjJ9cPqZTTEsByLppa2xwFLamI5H5ilBp7UqRGowD8Re75D7x8sLjwv/fW4rixTner3+5Z9v7D+jD7rvMLkOtBqYhKyV9PyPHb2hXqrAJOTZREYDZ3xqPUUN1PAdfNW3hVVekWKcGiukxCTr6z7YE3voDbzhwXsbW83CBLTSoFzHhmSc6KEZAWS2VItx/889TQ59a2rOWfEgLt7ieOHLWcmvBjTO0njQh7/qHuJ2n/k0tOyMrj5dTEaKlpzSotaCnqfrL/puzYbURRqHS7o9jzX/TwAs//ea6JS4/aS7oW0dCeNYH/Z5Mf+hUMpTx5T58JebxX//NdbNvVUrAOauDUsIpcgcjqPIZqqWFlu8crN5RalaVGYMPkXyaBoNRwVppL/7YwUluSqzEg+unRt1fh5aX+BOG8fHnxkZ+Z7ozCwZwaP6KwuvUkTm++UWo4IOepUeV+CuGGqjJNB4HtjKzJmE2Op0KjF7XU2H+rGHhRzkAoHRMJYefn7bQmDOkmLa+2qhznTB7i+39WqWn0iU6JYwfL4v0vGvLcBxq/g/89u7D4EbjJnBpGuPs6eO/YW/tJzY4pSKnxJwpLikYU63dwdI4sbCU0iBgdikQ5NfKy8+fO+nPybOhOS6G6UGkQjFLDQejEEfKCZAe/MFHYNVB1EIXZrWIjo9TsamlTa6mJpNQUrqVQrZks2vf6z//r2/nq2XEOSh54u2fqY+/NVKN3g+XU2CG3bnEqolJsRHm6KTDuJ0rOFJ8Hx75jK/+d8xiVnBo3WtuynjGtKhjA69oOuA4/pYZw77RoNbpcv4SCkeTHwanxeR8qrO9uS01LWxb3vbE8/zmdSnHfj4psxjailKlQNcUapYaDsDEUHv0ka6lxQpgorNj9lIKzo7EDI+d+okei2AhaLGZ+sA43PPW+w3pgT7wqBp7f9b+wZD2u/Ps7APQrNWH+ZK5So8nd2NqWdTxrW6nxXCHFUiPZaQrKrFpLzaV/W4gtjYXkg/b71smpcZ9p2frtGP+rmbj95UJma0+/k94wuZTIwNpPGtxPhDlVhaVGpqBlXn4M/TxO99ODc1bg5//5oCAD/GescnYJii5TDa1E4Y4KVcn3Qjk1monCbrALa1NLGxPSrYDXEnCOCx7IZajeuL2QRj6fO0XBPUe5ft2GGhn3k45MyL9+ZgkemPMZrj6mkByvWNxPqZSahI+8tk+980U+vBhAfpX15Kkhc2r829vcpZufW4qLp+7ZLt/VXrqAqfNzkOHCN6OwVveT//9U9DM/61MUUN441f2kwgruLpOwaNVWx/9znBqOpUbhghLF/adqijWWGg6CBkBjU2uM0U/eY9Y37EI2a2HJmga86sqCqSOkm71Xh1LTqjakO8oiZ9f/AdTs2G1E49ToJgoH/59L3iRzv7zf3f3qp9jVksXvnl+a/87f/SQPGQtbKlV4DzrcGWwepoKlxnkMlVMjetnejMJycr3pIsRDulUrkiyCLJUqlBqKpYaC6O4nvZwaP/I3kOsb/NpPdNk2eM9fV/CFsdRwEJS99YBfzgxN+Cbtfgrh1Lzx8Uac9ec3cfSo3nhhibdyuXKdxnVC1lqQIwrn/o4rozBrFrevRSenhoXuOTFsgPOiF3SWd2AXeL809iSuQwSrJO87Je6nCMf4EYWVRj9J9DtK9uqg87LQodSEKaGBlhpNGYWjQmUoux90FrRss6xgS1XK5zpVKjXc8e3+rGaSNZYaDoI6QFNrFvU7+YX/bMjPe8G7qT+/9ikAcBUab2s1YHdQrLa/cXuTUk5NFN/z2vqC+8lWcJRYaiKcQvdOzy9Nuo0dzd5EGuQovYg9Jmed9F4fRXwUoi+vmKOKMglRmuYtNS5dUmeemqDrsCEr3RNBHxT95BvSLSkcEZSagP9R+nlZu2XNHr8yCyetn0d0P/nso1VY3y3Lckb2uWWAH3IvO7f+9tR9Pd/x3E/ub259YRlu5RR1FYWx1HDAdoBUSpxPoWo3JSpXR1geew2sBeut5ZvRs3OlMrlRFjmWU2NXlNbN57GhO09NmNLEK3ZIfe5Rm2etXA4XwdQygfCUSeAc437mqVRB+aMssJE4VO2/1VtqCu0jWYw87elyAUn3k8bop9a2LP69aDX3f2qin3L3FJSEzg+UYRZ9jOlzP7VlgzfqqVRKaXX0rx04CBVlaVzOFHzmbdrcc96iVVux4OMdklILMJYaDiikMoDi93ZCtAyCbqJws8v9ZKeVV6PUyHVFPWHsXuh2P/mRM2006rDUCJxgTf0uR5g3QFP0ouxgeWfPu580W2rse3PfolJOjcB15JtI58BynTfgWH/3k5RoAOHv++/zPsdljy7i/o/SzW3Lmt1vZCyutJDuiO4nzQUtg+477bNxp8zrJ40b4LwGjvwz7p4jff4gGKWGA14SLhHIRyi4d1OictUiBefk51/oji6LtdSUC5j4VUUHqDiGgqBJ54MvGvDImys931PvXOS9ff+RhZ7vKE/Ek6eGczKvz72g/FHKJER5cto4NRGPe/Y9u6Cm11olA5G5RUuVbg3JEqPAvmb7nlpk8tVoVOZs+EUHqZrf2LmbZwG1aQZs/1a5SX7n83rc/NyHjgSuC1ZuVSeAgVFqOKDyJ1KST1U0+Z63vV6zhR+DXoVYdvCKpP5XoVBFMUnrVmqCkoPd8J/3ud/TOTXR8cGaBs93lYS6W+7Jnl/M0fndV++ag7UNuaKyOnOmAP7uJ2pZjqA8NSwufChXUNXdLWSld+tU7vgcf5kEglKjsPZTW9G6n9TKPuPAQcy5gzk1ALhBH6rXk9tf/gS3v/wxslmL605XBaPUcEBdwKTJfO5KuoIkQR06jSOkW0OhOxvsYiGyWKqQ3RZh95Zknhp/yxVxgSUsNNdOHylddwrw7txFNxIUL1CUxbmlLYtXPtqAra6gAKXJ9wS4PSJteHC/K3ZusSwLcz/dhC2NzQD0WGooFi41eWpyY1zGUkN54/ToJznpN548Fr1qc5zHbAinJp1K5ecftkCuDtf+0nXbcOXfF2HsDc+rP3k7DFGYA+oCFkfYJbc9YfgN79UJn25oDDymxacomuqClmEh86plh/FZLMtKtExCXXU593vqpENpPm5wN5Jst0LFe75Bj5yWpyb8mL+8vhzvfF7v+b6MXPtJ7Hj3c1FFWGfX9mcWr8XFjyxAj04VmP/TL/laLuNOtpiXKy9WDaeGcOPlEet5+L1XWdGZdAqj+3fBrKUb0Oaev7iicl/27lKJ7Rva81JpCjz516IvlJ+XhbHUcEB1P6nScEUXUorcR86fxP2eDenWQSDMn0PSUqNCdhgxvKUtmGinA8+/vxbXPP4u1tbvwjOL13KPoU46tPwbJNGeRY73eIP6P4WjEUUR5ik0AN39JHLZZ9/7pscVROmFdrQi4Hy2z72f61+b8paanMxvugqe0sLoKT4c+aZleUtN7n7DNjCKxUeey3yJwhRFsr2x5cpT4050yEY/9WXqwcUVhKEaxlLDAd39lJClhtAJ+9Z5ixumXExhv0qvqrP6VggpNSrcT8EPujXrrIUUB77zYI5T8ejbq3yPoROFk3EJ8GRzk+8Fyk92kZRFVE4NALy2bCM6VzqnaMrU9O9LDsFZ98zFZ5t2REq+V+GyMiTmflIQfZQnCodUq+bKJ7zyqHOZf+0nyhjNtX39402OfsPjadn/ZtcBPbXl9G8OjaWGA7JSoyhCoRBWakU6r8qqqvlrYP72cz+psFKyg7dSwP2kQnbY+77m8cU4+pZX6YIUgx7STWpNku211PDcTwGWmoSsBnEn32NdQYeP6IUuVfL70AFdq/G9I/YA4OLUuI6zrRluNzCp9lNCnBp38r24Q7qjWmr8ujqt3lbu93/ecbp7eBF19neDutU4vt8dYSw1HFA9DbITrsdSk7Xw/15chj+/vhyPf+9gvPghP5NwXq7mXqgjfToPFUUW0v3UO3p9wLLQWSYhVDbV/RQhxDhoHNLcT9JNlXJqotzCa8ty9d2m7dMHd39zAkl2TmZOaJTke+WZNMrSqfxn3dGVfiCFkmec7qe4k++5rV1+UE0UBvzXIW+m7oL7aWC3nOKbSaWEuI1REQc10Sg1HFAtNbITrrsDb93ZgltfWAYAOPqWV0LbU03jPLA7Op0h3ewpRBYOFbecUK07Mugh3QlxJOCNXuKOuYD3QtEtKFeuNqQ7/FxN7dZRqly3/OA8NTmZZZkUyjNptGbblF6DKGiWmnalpi2LO2d94ltxPgiU5SCy+0kDp8ZvjLotoBbDskmlUvjRsSPlhRYBjFLDAVWblDW1uvvgyk1iKaNVu58WrtyK3rUFcqGO/BU22FOImPh1uNx2FyTpfqI+dbfiytdpgsNQZRGlbSrFvyaVBS3jaOeGffmBlpq2QiK28kwKdlR7UkNNhRKatYDfPPuhcPuRfWtRVS6vQUdValRHPwH+c6M3oq4gvxSmU8OpKSK4+/Vnm4JDrN3Q4X567v11+b/9TLcqBgJ76VHDIHPtSmAUSoLqfqKREEmiPbW+eItsoPuJ5DsLP8SPC0FV4NnbFDmVqn7Ou373gmq7asoyaVQw+W101JaLAhWWGlk89p3JpGcfnSjM/55mTeV/7x5WFgr9shSmU6PUFBHcO9NVW3YKtddttfArk6BiwmUHr1iZBLLo3Rb0CCSCbDKfh0YU1m2p8UssSH3msq5tVQqFfZqg67D5HWXplIPfFodVlLUMF0B418RrLi+jtffj1Lj7ts6Qbjfc/B3LKjig9EQ8MbK0nj0Ho9QUMZp9oo38oNvn3exrqVErt0zAUpPU7rEYkKj7iSjbbY3jWWWCJkBKV6+NEEFEKQERBFnXtqqhnefUMFOL+5JsN3MmnUK55gyzbvDmsCQtNVRiuJ+lxlvXTP3c6rfZ5NVUM5YaAy1wdzbRXZ0OojALdrJjoUQsy6kROGFHttSQyboJup+8+Vd47ic9Id3daypCj9GlLLO75A/XbsPPfep6uaHqagpEYf8Ms2356KeUQ/mMYwPBk5EksZs6p/opx+6+7R/9JA+/vaGHUwOLUWo0W2piCH8ySk0RwaPUiNbD0R3S3a7UVLkGqmq5Itygjs2pSVI2TbrbWsLt6oHRT/Lyu3UKV2r83AG9uO6R6HAvKPe98VmkdqrdT/Zl8Mj/do23TDrtUGriGGo8wwhljFMtLVT3la+lxvVZdUFLwN/i7e6DP/j7O3mlqhRmUxP9VERwc2pEQ411u5/ymUbL0mhsVpthl71ykYnEuJ/kkaSlxj3hcjk1Ae0ppPjuUZQa1+Ab3qsTHvvOZHLuDtmNqjqicO531rKwrmEXjrh5Fna6smXnQ7pdnBrdebD8ZFCkJm3Jrcjw+0vUDSxNofOLfvJ+fuuzze3ypMVFguHUdDBQ3U+6iXz25bh3HyrksoNXZPJMetKi4A9n7E88QzLhxYB6ZZINK2W/0yG/WwT3k1up6dm5kmylAShEYbJoAM7ke3+d/ZlHoQGYkO5MyrFRSsr9ROWVJJVfB/C31HjcTzqIwlHDn1h5JWCrMUpNEUN0AtS9k7Kvx23SVRLSzZ5PoFfuzpaar+w/ACP6dJZuvztbangQUepJnJoIlhr3zjmpIrU21OWpsZUaf0twKxP9xI71WJQaxURhILmkgUBwSHf9jhZ8/28LMWvpet9+Qblyf0tNUFQhQWAExJFR2Cg1RQxx95Oe67BhDwaPpUbBZDeoe6HmiMj5dmOdBgDN50997pTWOh67l8DoD5Gwfzc6VYa7kNwlQVQt6GEV4f2gSr69aLFhvG60MpwatnumYlgtdCyqugMoghBEFP7Ncx/iP+98gXPve1uYPxkFfpwaP6sQkPx82rWazogxnBpBdO9Ugc2NzVrO7e5rosXXMkRSXBjsy3HPESrGwbCenXD32ePRo3Ml/r1odeR2u7OlBhCzSmXSKUefoN55ksn3eHB396BICd0J0dwTv6p+tq5hl1Q71cn3shZ8tUa2TAKrdMfBqeFGP5Wgpeaqf7yDxqaC60+m0GYYonJqnNBMYQj5f08FLl5jqRHAfoO6YspePbWdPygtfBTottTkq4a7vq+qUFP4bNrovhg/pJvQArLbKzUC1+9eVBJNvqfguU8a3t3xmZe+XQcqfcibLNyLjKputq6hSaqdOk5N7nfWsnzdEGyZBLZkSRxjjZunhrjQFqOl5pnFax3P30/RoAwBf05N8VpqVPQxo9QIoHtNObpWlyd9Gb7QPenYE73bVNqpIjmD3+5MFAaI1pIYyiT4PV8Vj/3P5xyIe5jK07ykYDoQyVKjyf0kC9WcGjbhmhsFTo07IEDNNQRBdfI9v3PGhajRcvFyavzb6O7nYXlqVASdGKVGEF0jRE7IgjqJUwfv6RMGBf7fnuzcg0L1pJFETZykIPTo3G6/GCw1fpOciufeubIMh+5ZsHzykoLpQNR6PCxUdfHhPTtJtVPHqSlEP/ktbvkyCZmUw9XuVzpCJXj9andWaqoDlBq2v+9yRaGdsG8/nDxuAGqr5DfRUfPUsND9pMLWOBUuTqPUCKJbjT5Lzah+XdCrthJDetSEH8wBtUPMOGUsRvat9f1/Nq/U6KWwi7mfNF5IDKDcaxxlEvyOUfXY2fO7+5UGmgEAuUVOlVJx/7cm4tjRfROTXyAK+yuNbObwDdvk3GWy4PG/6e6n5Ja5IEsNW6pihyvv1x+/fgB+f/r+JNkylhrde8Qw7pCKzZJRagSQSqVQp1GpqShLY/Y1R+LpS6dItafuSNLpFIb38t9Jtvq4n1RD5C6SdgtQIfLK3JM7dQKI0t7vGNWWA0CMKBw3VFkEB/eowVXHjBBup4oXwuap8Xu8+TIJ6TTWx63UlJj7KUg2q1S6lRqdsoMJ+Movw4GgyCuAr9SKwig1gvDLEKkK5Zm09ASme/DaO2nNOo0QEtyEKYHIYuk+lBz9FOEYX06NMo5H4W9P8j01IpRA5dCSUZAyKmZ7ODMK8xa3Z99bg7XtEVqZdAoHDu0GANizt3w+JbHr4xGFaUiSKBwEdh5tbGpVfn6ZPDW63flhG2IVa9huviTED0p+jKiQ7Ve6MwrblpowbZuKsPs/bESv/N8dy1Lj+kzm1ESw1Gj2su8ulhqV/UzmXKrCqe05Iud+8uLChxbkLThlmRR+f/r++N4Re+CB8yYqkR96fVxODd0CXZRgXsAOTmZnKvw5Nf5tdD+pMOqCiX5KAOW646YhP4EpIVkFnMPuj7oXm7BJrDzm1O06QcrqG0OZBN2WmiBOTRHpNEotgjLjVJW1gbXUhC0wZekU+tVV40fHjkT/rtVK5Ns4edwA7vc63E/Fa6lh3E8aLDV+Vo8kLTVtYURhY6mJH3EoNbILnYoOEWUC0JEoikXYFcRdj0YnRK5/YDcngZwaHRRFts7oJ/s8bO4UFkWk0yid7GVOpc7aYHNqwt3Iugi2w3p2QlcfbiLv2VDvPElOTRDYx6+6QDDgP5cH6bK6n9Q7q7YG/t9YamJGCkXuflLRISJMAOxk+NMT9iHLFAWrWBbpfBUZIovV5D16KJXNSh43uCs6V3LyDcXwfNncKSyu/ue7+oVHhFL3k0Sn1WGpCbOElWma6yzL8rUy6nA/7Q6Wmp0xEIXt5xBc+ynZZ6WiFIdRagTh56dUiVQqJbVYq5iEokwA7KD49qHDyDLdCJvE2MHaUfLUnH/oMM+EQ3XPsM+uLM2vZhzH02UXWhaLQnZ1cULluijjflJlqXEqkOHuJx2w4L9x09EHi9ZSwxKFm9W7n9xeBXt9CHY/Kb8MIZjop5iRSgEVMSg1gJzGrELLjjIBaA/pDrkEZ+p2rZfiix7tlZ79zOhREfWdpdNyim4QWNHpFF+piWNBKIQZaxclDbVEYfE26iw1hYUtNBGapneftSxfRaXUaj8FwXJwavRbamwlJ0n3UxgMpyYBlJfF89pldmZKOkSEGUT34hN2BeWMrz+pyIa/fWcSjhvbF3//7mTSeaJefgrqd1Hsu874KE1xWMLylpoi1mpUPgaZPqtKqYpS+8mGLqv04O41AZYa73dUQnyxKjVsd9+hwVLjVoSjKDVJazWGUxM7UrFlp5QZhyqin6LsCAd1VxsJIYpMEVhqRvSpxR1njceIPv4ZmKMgqtKQc0m63E8kyc5nl1Nqopv+VUbA+XFqiglJh3SrttRYkYjCagfXPy6cjOPG9sXNX93P9xnosNQkmVEYAH7+5dGo4RT9ZZXKhl36o5/sZxsU6JE0p0ZJsIuC6+hQiMv9JOd3p8uNsou85Wv74w8vLsMFU4bTBXIQ6n7qgJya3G2qvddUFKUmFktNuK+fRV0CRWVVru9SGxZF8449R2QDClrmZSpWag4c2h0HDm2vzO5zah2W16QtNeccPBRnHTQYe173P8f3upV4N6fGj7vGIunZNK3gCoylhoMnLjrYV3mJzf0ktZujv84ou7PBPWpwzzcnYOKw7mR5PISZmztiSHc65V0MqdYSN1GYdylxrAd+Id1+eOy7kzReDR9JRz8pS77Xfp6Wtmxo/9GZvsJvjPPusxTy1JRl0vjJ8aMc3+muoedW5grjzL9N0pvEoq/SfeONN+Lggw9GTU0NunbtGqmNZVm44YYb0L9/f1RXV+OII47A+++/r/MyPThgcDf86ezxnu9TqfhMmTJ9S8UcFKVTJa1IlFRId1T3E7yWlB6dKkmy2bOlU/xlJo5XXbDUhB97+9cPwMi+Xcgy7zv3QKHjKyUqe/shSffTwG7VKEunUL+zBZ9v3Rl4rM6xJRL9RJ1viiWj8PmaLNt+cPeZguuxeKOfVLwqrSt0c3MzTjvtNHzve9+L3Oa3v/0tbrnlFvzxj3/E22+/jb59++JLX/oStm3bpvFKOfB5uH4WHLuy9gBFmTejmExrK8vw2HcKu1YVykaUyVP3HBF2/lKy1DgjkPyPc1tq7jjrAFRz/PQiYJ9dWSbF3aXF8Xzt+4pieVKlXEwd2Vvo+MqAasuiSDKku6aiDKMH1AEA5n222fe4nOVO37v3OzM3+V4JWGp40O1+chO97acQnKdG4wW50K+uyiu/2C01P//5z3HFFVdg7NixkY63LAu33norrrvuOpxyyikYM2YM/vrXv2LHjh145JFHdF6qB36kSb9cMA+cNxFnHTQYj1xwkDb5bnz/qD0xrGehqrYK33GUCVf7QidQJmE312kczzLouaZSKcfNqkhb7w7p1pHNNQpELDWV5cl4zFVaamT6rMqFeUj33AYs6HnrSrxnw9dSw513adeSNKfGD7rdT2yf2XdgXcTUCfE9K958p6TUD/kMCrF8+XKsXbsW06ZNy39XWVmJww8/HLNnz+a2aWpqQkNDg+NHBXiP9puTh/r6mYf06IQbTx6LIT06cf8viqhuoLRiq0UmgntNu04T8v8yh/upOCesqEi7FAs/pFyWGhV37Q7p5u+S+ZJ613p3WbIoTLaF2dbPalNZps5iIoKk3U8qXSidq8LjQ5KKGNIT/VScc0ScwX73f2ti/jkWt/upxJSatWvXAgD69Onj+L5Pnz75/7kxY8YM1NXV5X8GDRqk5Frcz3a/gXU4dK+esZRJAKKZAdOplDICoY0ovJykFYnScj9FszqlXSHdqu87k05xd8S8te2x70xChdJFPvfbqdTwj1UpVwQqlSkZy4HKhZlbDsMtL6Z5zg2e8ka9kigbNR4e+rYaq7sfdFtqmtuy+b87VWYiWUSTnk0TcT/dcMMN7UXo/H/mzZtHuij37tCyLN8d47XXXov6+vr8z6pVq0iy/dCnSxX32nQhmhtIPQmuGIjCYadPR1QEdges3Lwj/3fQvaTgstSoINSxlhpf95P3y04RFkWZ62Dn+DZfS01CSo1Ct5fMkFU55jpVRLHUJKTU8MQSLyWqIsze85Eje+PQvXrSBIdAd2Hg5taCUlORSUey1CS9SVQR7CI8O11yySU444wzAo8ZOnSo1MX07dsXQM5i069fv/z369ev91hvbFRWVqKykhYFwoP7vced7DSK8uTOAquiPxYDUTjMh65aflV5GrtasuEHasDhI3ph/ootAIInlLRPbSYKWHFlGf5T52cZVnoZeRltWQuNTa3oVFnmO+EnptQo5dQka6npVBludUqKh8Kv/US7luqIJO/qigy2tSfBU5lc0g+tbXpl7NM/FyXYo1OFI3lncEi31ksKhZIEsqINevbsiZ499Wiww4YNQ9++fTFz5kyMGzcOQC6C6pVXXsFvfvMbLTL9kHRy0ygWU9syplRuhPPptlaFnV71hPvf70/B395aiXtfX670vFFw9qQhuGXmRwDCzdEsn0u1pSbt05f4hHnVylXufFf/810sXbcNz19xGAZ1q+EeqzIKSQRJcXlsZBS6g2o7GKemKqKVrVdtZV6p0axvANDvfupSVY53fjYtr5Dbj9HPCpo7Jj6thvdeK4kRnYBmTs3KlSuxaNEirFy5Em1tbVi0aBEWLVqE7du3548ZOXIknnzySQC5ye3yyy/Hr3/9azz55JN47733cO6556KmpgZf//rXdV6qB15NPV41J4rGmkmnHCHmtVX0TKvFQKoLuwJ24lMxL+zZuzN+esI+9BNJgHVrBO3c0qmUg8+lYvJxWGrSPmeMw1LT/giWrsulbbjrlU98J964Mnq7EXVh1AWV3Lko7sPEODWc+6SO8ajupz4M+b0tq99yu2l7s+OzDr5YXXU5qto3ArsDUbhaweZBa5mE66+/Hn/961/zn23ry8svv4wjjjgCALB06VLU19fnj7n66quxc+dOXHTRRdiyZQsOOuggPP/886itpdXYEUXS7qcoFpN0KjcQHvvOJLRmLSXp44sh/FHEUmMlblOjgV2kWwM6WSrlSjqoItEi85zT6RRXgdGxcw6T0drmX2wxKaUmaUuNys1GFCuM7nnAb13lvV6qKyiyUtOlQGPQzXcBnEReII78X17umhuJKzUVCrLiK7gOX9x///24//77A49xd9hUKoUbbrgBN9xwg74LiwD3YhmHj5WFCGH3oOE9lMmVjRRQiTD3VhHoXcoQtRJy2qXUqDETO4nCUQtaqjZRe5SabNa3YndSFoSkuDw2VAYENDaFF08sT8r9xLlP6swbVRHu3aVgqYnBUONBeTqNXdAn2B5mwbWfkp1co/KfgpD8ClakcL939uOj39FfeyZK19LBVE9oIywEduIr5srOKpGCy/2khFNT+DvjQxTmXovibuc+X3Or5btT1lmPKAhJJf2zodJSEyWqR7elRiT5HpV7ElUhHc4kMm2NWavJpFO499wD0b1TBf5wxv5aZOwOROGqcrqdZTdYwooD7LgapaD2jAromHiKwVITBtW5eXYHuN1PKp5AWEi3X/dS/fS5lhqfiTeuPFFuJO1+UknO79OlCofuGazYJPWceRs1qiIb1f301fED83+7XUO6kUmnMHFYd8z/ydH4yv4DYpXNIumpVYWlRqv7aXdGkKUmFcO6H2VvoqMDFoOlRiRPTUex1OSIwmqjn1iluCztdT+l/HLXKI+4c37e0tiMj9bxa70lVUU4afeT6tvu0yU4I3RS3DrWCjt1716YMLQ7enampeyIotT84EsjHK7g7bvCXXQqYVvidPbvaDzNZKOfqhRwaopgCStOuE2eLKemWOwEOiaepJMvARH8usy/o+Tc2F0Q5GLIWWpY9xP9PdXVFIjlzW2W5937Wmo0E4Xf+bweZ/35TbVCiEgik/GlR+2V/1v1qAzbvCQX0l34+/wpw3Hx1D3J56zIiM8R2yPwjlQiDiUyyriNc/bnzfPVZXQ7i7HU+CDIABDHbjEKMVmHAjKwm5oq4xREua1fnjQG9TualdXaKgZk0ql8BFQmnXLwStIpZ/i+ijdfy4T2bmls9kRUpVIpriVMt/upGKEislAUrJKres4JczMnRcjW4VqWUUi3JWSp0YloOci0X0YgjKVGI7wh3ewCE/PF+EDHYjB+SHeMG9xV+XlF8NXxAwPN/SnkktZdcuRevsfsjmAnNvfknkoB5WWs+4n+7tlzbN7RLGCpUex+2g1moSSUGmeNM9Xnji47Tqgu+wJ4392wnuEboabWuDk1+gdBtGGb7OKmIh/UbjCdJAW3+6nwd9JhbzZ0zTvnHjxUz4kjomfnSiy+4ZhEryEJsD5996KSSqWcO3fFsrc0NnuUlRT4nBrV2B0sNUlweTKO963YUhNyP0kl4dShTB04tBu+NmEgLj1yTzz+vYPxjUlDlMugIo7nHaUP685yHAeM+8kHHqIwq9QUyRysazdVDP06qWrMScJhqXErNXAl39MRzs+JfuL1BdU5m5Ii//Lw3cOH40+vfJr0ZQBwu5/UnjvMIhI1f5Is/LqQjiktlUrht1/dL/958edbvdejXqwQYuHURDhGdz0qFrw+3aMTvY5jx1s5IsL9art1Kpgw45iDo3QtXTvc3T1L7+4KlsfgnuTSqZRD0VP16v/fmeMwvFcn/PKkMRz3E1+I6t6RlDv3vEOGeb4rhjIhNnQudGH3mVyVbn3WyPx5AwZPlLpYOhCPRTT8mDgyKfvhkfMPQg9ipBtglBpfdO9Ukf970vDuuP6E0fnPsbifIvQtHf5noDgsNR0RbMSJ1/2kJ/Hcifv1x0s/OAKj+nXx9ief7qW6fyTlfrr+RG+9L55bhqf8xIEkLTVJJd+Loy9w0xS0//7reRMxqHs17vrGeO3XwSKO+44iI+6kgywODsmdFBVGqfHBQcO649Kj9sL/O3McHv3OZPStK+R1KBZrua55xyg18eLnXx6N6vIMbmUyifJIuzoXOVuG83MKvzttP3SqyOCqaSOY/6jtIEVkHPEs9r89dV/89IRRiVwLa1HopWAHyyKMU5NU5uak3TAHDO6G164+EseO6av9OljEMQaizBlxWmp03bLh1PgglUrhyi+N4P4v7p1ll6oyNHBCDHVl1jU6Tbw45+ChOOugwS6isPOYFNzuJw2cGo/LC9hvUFe8e8MxaGptw++e/wiAeqW3mDg17jHVrVNFYteXTqXw9+9ORmNzq6MukQqEKQ+lFP3kAa8SuH6pgYjHQhUuo3NC7jeVMJYaCcQ93J+74jD+dehSaorcVJP0IqijUrSbmOlOfqbL/cTCj1OTcWUbLhVODQ8ZF1s6yWiQVAqYOKw7pu7dW/m5w5SW5Mok6JdRRN0tjzimtDARYwfUYWRMJYAePv8gbefe/dWyBBA3UdgvR4Y295Oe0+72+NGxI9HY1IqTD9Bfm4VHFGYXmjYNUQreMgn8v0uFU8OD21LjVy08Duh8KmFW3qQsNXHUdSum/mYjjmsK2xR9/0h69uaoOEQRf4YHo9RIwG0p6F+n1jQMOK0lfh0+qYmno+KCKcO0h7raCCMKt2gg9PFy4+T/1rjEFtMi434GCeo0Wp9LaEh3YmUSWE1aj4wi6m55xDGX11QUV0kZXRZ3435SgCcuOkTr+f3evTY3jDHVeHDCvv1iU2gAP0tNQb6OfBJeojD/b9Uh/8W0yHiVmgQHg8bnsltwajQ9+iLqbrGi2JQaFiq7m1FqiNi7T60jMkoV+tUVajDFbakphaySqnDa+IH4zyWHYsYpY2OVyzPDs+97UHf1Nbo87idm+tdZGb24LTXJjQXVEU8swvLQJGUEjmPfUETdLY84xkBNZbyOmd+dth961Vbi+LH9Qo993oc3KgPjfiJCV1/cd2Ad5ny6CYB/hy9171NtZRm2carlxk1kHjuwLlZ5gHdxta0ji2+YhpY2CzUV6oduUO0nnZyapEipPLifQRJKzW1njsP7X9TjiL17aZMRtogmpWjG4n4qQltNHN6+mvJ4LTVfHT8Qpx4wAH969VM8vXiN5//sW9izd60yucZSU6Q495ChqMikccTevXyVF10Tz4AiqNQNAL86eQz3+1KqzO0Hj1LTvrbWVpU7EkPqlOng1KRS+WJzUQoCiqCYSmJ4LDWac5HVVGQwoGs1+nTJWWWqyzP48n79ce30UVqj/MI2REmGsWtH8ek0sdx3nO5zG0n0I2OpKVL0q6vGwuu/hMqytG/H0OV+OnTPnrjuuFG48ZklWs4fFV/ZfwCG9OiE/723Jl+P5zenjsXEYd0Tva444KfU6IS7m7k/L7p+GlqzFqoV++Z1hMjLwj2ijh7VR6u87p0q8NrVUwEALy5ZH5tVMKw7Jed+iiFfi3YJ4kg6TUUpwSg1ROjsjJ1CfKC6dripVAoXHDYcX5swCEvWNuCMu+dqkRMF+w/qitH9u2Boj044eI8esVtpkmJUeN1P8ct07x6rNJmvo/TjQd2r8ZPjvWUNVIO95VtP3x91Nfx0Cirl2XPI0fvoVaBEoNtyEGdBS6+M4lMgykudS8CDpls2Sg0RSXZF3TvcuppyTBreQ6uMKCjPpHHmxMFJX0as8Fpq9Ks1QZwanYii1Lx29ZExXIlzk2K723SiGBdYIKbMvjy5Rfo8dKMsBl5Z2KMd3KNG+zXEgeKx+xoII676LK//aGoscooRR49Sn801CtzRKXFYaqJW6VaNikzxhJqyd1wsRQZ1IExH1q3TRElToYvQW4yxnXHM5UFP846zDogtm7BuGKWGiCQT4MVFsBzYrQaThpc+j4XF3n1q8dh3JuGY0fEWtrPh6VcxzMSerlxElpq4wCoZseyetUvgI5xTk5SlRr+MYkxZEQevLKiu03ERwq53FxTPbLKbQjVpUgRxhsIWYxikTgzqXo2DhvdIjMCXhLLsiX6KSW6SSs3MKw5zJCVjX3c8RQa1iwjFr07yRhkmtVeLpQQNR6lJWs+JQ4H+5uShmDi0O35yfDJV593QdcdGqSEiySyNcbmfgOKYfOPEDV8enah8r/tJ/6yblAJXmaBSs1efWnzv8D3yn1lFJg7FMjn3U6E/fWPSEHRx7eKT6gvONAJ6ZCStwPAQR7h158oy/P3CyTh/ynDtsvzQpaoMF0wZplWGIQoT0UlDErSoiFOp6QgEvnvPmYA/v7YcN5+2LwZ2S5Y0515U4piIE/B4AUi+hhl7n12ZaKeOVFzR3d+SeiesVF19Psl6Xn7oKNFPC6+fpr1vGUsNEUm6n+KceIpk7tWKo0b1wd++MylxhQYARvTp7PicREh3Me5odYC9z0HdC+8+jgigYhlXba6VPqk1No4ux+PUxPUe7j57PPf7JBLjJQF2jjEFLYsU1TGnnk4KJjlUPHjyooPxvSP2wCVT93J8H4+lJv4w8mLDgK6FbNoNO1u0yysWknRLmzN1clIWpCyjXMVZrzeurj7NJ/CgmEqF7O4ojhG1G6OmsmMoNR3EOpo4xg3uhh8dO9JjAYyDU+NRarRLLA6wz5ZNMKiTvDnjlLHo26UKv/3qvtpkBMG9iLuVmqQ2Ma2MUsMqmCpRjMp6nFSCUofh1BBRU94xHuEBg7th1tINSV9Gh0UinJoE5/7aqjJs25UrZnrF0SNilX3XNw7AgpVbccQIfTmKzpw4ONGEkm4l2c0zSWoT05a18J9LDsWWHc0OV6BKZIuQVFMWR0XLDoKOsSJrRJLRT3Hiu4cPR01FRmvlYAN/JMGpSTKfxynjBuCMiYMxoFs1ulTpLVXgxrFj+uHYMaWTt4OHsFebFFG4NWtpr3+VtE7z26/ui6v/+a7ju47ofvrKfv3xfzM/wl69O4cfLACj1BCRJFE4TlSWZRINBezwiEHBSCLiyg+pVAqj+sWT4bQIvRGJIyn3UxxWlKST731twiD8e9FqvPHxpvx3ceSpKTZceMQeGNWvCyYM7ab0vMbmRcRBHaBitEHyiGMaPnxEx7TCdUSdZo9ewbvjpNxPbm5PqcLNX+uInJryTBpH79MHXWsqlJ634z1JRZhz7ZF46pJDsFef2qQvxaADII7N5eQ9euAfF07Of45rRztlr54A4ikgyUUHNNUcNao3bjhxHzz+vcnc/8eRo4cHd2i5DiRtqQE6llITd08y7idJ9KurRr86Pex8A4OkcODQguUxrslodP86PHv5FPTtUoX9fzEzJqkdG6lUCuce4p/ZNamQ7rYYFI4i0Gk8ljB3BnEDeRilxsBgN0ASYahx5lBxVwjuVVsZm2wDL5LieMRjqdEuIhRupbFPl6qErqT0YJQaA4PdAEnMw0mYxP/49XF4/v11+PaheuvDsCiCNa6oMLp/l8SqNruVWx3guZ/iyAPFgiVinz1pCE7cr3+s8uPEiJgpGkapMTDYDTBYU86OICSR7faEffvjhH1Ld4IvdqRTwNOXTklE9p69O2NiDIEXxZB8j/U2/ZJTJb2UcMTevTDjlLHYJ6ZoRqPUGBgUOYb2qMGRI/UlgvNDKZMXWRTBGlc0qCxLLkXF9DH8EgKqUQzup6SLuLLQzedJpVKxJpo0Ss1uhq8fNBgDulZj2j59kr4UA834wxn745WPNuCmU/ZNJG9IRUdRaowDKo8kLII24urj3IKWMcfoFEt19u6dKvDviw9J+jKUwig1uxmqyzO4eOqeSV+GQQz4yv4D8JX9ByQmv1iKLepGRylKGwV7Ks7uKoK4lnmeZS5+Tk2s4nzxjYMGaytHkRSMUmNgYMBFR0ndfs7BQ/HCkvWxuT+KGdPHxvMMeIrFQcPjSWRaDHa57p3UJpyTRVKZo3XCKDUGBgZcdBRLTW1VOf5VYiZ4UTx3+WH4YE09jk8o6umhbx+Eg/foGYusYiAKX3H0CHy8fjtOPWBgotdx8B49EpWvA0ap2c1QBOPRoIOgoxCFDYC9+9Zi777xhd66XR6H7hWPQgOgKLLAd+tUgUcumJSY/Ld+fBRWbN7hSLZZKjCz1m6C4T07AQBO2K+0qwcbFA86ClHYIH6cNj45C8UJY/vhZyfuU3IEWRH07lJVkgoNoFmpufHGG3HwwQejpqYGXbt2jdTm3HPPRSqVcvxMmpScRlsseOayKXj1h1NxwGC1FU0NDPzQUdxPBvGjLJPGuQcPTUR2Op3Ctw4Zhv0GdU1EvoFeaJ21mpubcdppp+F73/ueULtjjz0Wa9asyf8888wzmq5w90FVeQaDe5QWS92guGHcTwY6cdHUPdC/rgqXHbVX0pdiUELQyqn5+c9/DgC4//77hdpVVlaib18TiWBgkCQOGNI16UswKGH0rq3CG9ccWRQROKP71yV9CQaKUJRE4VmzZqF3797o2rUrDj/8cNx4443o3ZufUbWpqQlNTU35zw0NDXFdpoFBSeK5yw/DwpVbcFKCOXIMOgaSVmievXwK3l/dgKNHxZ+x20APik6pmT59Ok477TQMGTIEy5cvx09/+lMceeSRmD9/PiorvZV7Z8yYkbcIGRgY0BF3JIyBQVIY2bdLLEU0DeKDsNP8hhtu8BB53T/z5s2TvqDTTz8dxx9/PMaMGYMTTzwR//vf//DRRx/h6aef5h5/7bXXor6+Pv+zatUqadkGBgYGBgYGuy+ELTWXXHIJzjjjjMBjhg4dKns9HvTr1w9DhgzBsmXLuP+vrKzkWnAMDAwMDAwMOhaElZqePXuiZ8/4EiVt2rQJq1atQr9+Jj+LgYGBgYGBgT+0xmyuXLkSixYtwsqVK9HW1oZFixZh0aJF2L59e/6YkSNH4sknnwQAbN++HVdddRXmzJmDzz77DLNmzcKJJ56Inj174uSTT9Z5qQYGBgYGBga7ObQSha+//nr89a9/zX8eN24cAODll1/GEUccAQBYunQp6uvrAQCZTAaLFy/GAw88gK1bt6Jfv36YOnUqHnvsMdTWGuKigYGBgYGBgT9SVjFU91KIhoYG1NXVob6+Hl26GFa7gYGBgYHB7gAV67dJGWpgYGBgYGBQEjBKjYGBgYGBgUFJwCg1BgYGBgYGBiUBo9QYGBgYGBgYlASMUmNgYGBgYGBQEjBKjYGBgYGBgUFJwCg1BgYGBgYGBiWBoqvSTYWddqehoSHhKzEwMDAwMDCICnvdpqTPKzmlZtOmTQCAQYMGJXwlBgYGBgYGBqLYtm0b6urqpNqWnFLTvXt3ALm6U7IPxYCGhoYGDBo0CKtWrTJZnROCeQfJw7yD5GHeQfIQeQeWZWHbtm3o37+/tLySU2rS6RxNqK6uznTihNGlSxfzDhKGeQfJw7yD5GHeQfKI+g6oxghDFDYwMDAwMDAoCRilxsDAwMDAwKAkUHJKTWVlJX72s5+hsrIy6UvpsDDvIHmYd5A8zDtIHuYdJI+430HKosROGRgYGBgYGBgUCUrOUmNgYGBgYGDQMWGUGgMDAwMDA4OSgFFqDAwMDAwMDEoCRqkxMDAwMDAwKAmUnFJzxx13YNiwYaiqqsL48ePx2muvJX1JJYEZM2bgwAMPRG1tLXr37o2TTjoJS5cudRxjWRZuuOEG9O/fH9XV1TjiiCPw/vvvO45pamrC97//ffTs2ROdOnXCl7/8ZXz++edx3krJYMaMGUilUrj88svz35l3oB+rV6/GN77xDfTo0QM1NTXYf//9MX/+/Pz/zTvQi9bWVvzkJz/BsGHDUF1djeHDh+MXv/gFstls/hjzDtTi1VdfxYknnoj+/fsjlUrhX//6l+P/qp73li1bcPbZZ6Ourg51dXU4++yzsXXrVrGLtUoIjz76qFVeXm7dc8891gcffGBddtllVqdOnawVK1YkfWm7PY455hjrvvvus9577z1r0aJF1vHHH28NHjzY2r59e/6Ym266yaqtrbUef/xxa/Hixdbpp59u9evXz2poaMgfc+GFF1oDBgywZs6caS1YsMCaOnWqtd9++1mtra1J3NZui7feessaOnSote+++1qXXXZZ/nvzDvRi8+bN1pAhQ6xzzz3XevPNN63ly5dbL7zwgvXxxx/njzHvQC9+9atfWT169LD++9//WsuXL7f+8Y9/WJ07d7ZuvfXW/DHmHajFM888Y1133XXW448/bgGwnnzyScf/VT3vY4891hozZow1e/Zsa/bs2daYMWOsE044QehaS0qpmThxonXhhRc6vhs5cqR1zTXXJHRFpYv169dbAKxXXnnFsizLymazVt++fa2bbropf8yuXbusuro666677rIsy7K2bt1qlZeXW48++mj+mNWrV1vpdNp69tln472B3Rjbtm2z9tprL2vmzJnW4YcfnldqzDvQjx/96EfWoYce6vt/8w704/jjj7fOO+88x3ennHKK9Y1vfMOyLPMOdMOt1Kh63h988IEFwJo7d27+mDlz5lgArA8//DDy9ZWM+6m5uRnz58/HtGnTHN9PmzYNs2fPTuiqShf19fUACgVEly9fjrVr1zqef2VlJQ4//PD8858/fz5aWlocx/Tv3x9jxowx70gAF198MY4//ngcffTRju/NO9CPp556ChMmTMBpp52G3r17Y9y4cbjnnnvy/zfvQD8OPfRQvPjii/joo48AAO+88w5ef/11HHfccQDMO4gbqp73nDlzUFdXh4MOOih/zKRJk1BXVyf0TkqmoOXGjRvR1taGPn36OL7v06cP1q5dm9BVlSYsy8KVV16JQw89FGPGjAGA/DPmPf8VK1bkj6moqEC3bt08x5h3FA2PPvooFixYgLffftvzP/MO9OPTTz/FnXfeiSuvvBI//vGP8dZbb+HSSy9FZWUlvvnNb5p3EAN+9KMfob6+HiNHjkQmk0FbWxtuvPFGnHnmmQDMOIgbqp732rVr0bt3b8/5e/fuLfROSkapsZFKpRyfLcvyfGdAwyWXXIJ3330Xr7/+uud/Ms/fvKNoWLVqFS677DI8//zzqKqq8j3OvAN9yGazmDBhAn79618DAMaNG4f3338fd955J775zW/mjzPvQB8ee+wxPPTQQ3jkkUcwevRoLFq0CJdffjn69++Pc845J3+ceQfxQsXz5h0v+k5Kxv3Us2dPZDIZj0a3fv16jwZpII/vf//7eOqpp/Dyyy9j4MCB+e/79u0LAIHPv2/fvmhubsaWLVt8jzHwx/z587F+/XqMHz8eZWVlKCsrwyuvvILbbrsNZWVl+Wdo3oE+9OvXD/vss4/ju1GjRmHlypUAzDiIAz/84Q9xzTXX4IwzzsDYsWNx9tln44orrsCMGTMAmHcQN1Q97759+2LdunWe82/YsEHonZSMUlNRUYHx48dj5syZju9nzpyJgw8+OKGrKh1YloVLLrkETzzxBF566SUMGzbM8f9hw4ahb9++juff3NyMV155Jf/8x48fj/Lycscxa9aswXvvvWfeUQQcddRRWLx4MRYtWpT/mTBhAs466ywsWrQIw4cPN+9AMw455BBPKoOPPvoIQ4YMAWDGQRzYsWMH0mnn0pXJZPIh3eYdxAtVz3vy5Mmor6/HW2+9lT/mzTffRH19vdg7ic55Ln7YId333nuv9cEHH1iXX3651alTJ+uzzz5L+tJ2e3zve9+z6urqrFmzZllr1qzJ/+zYsSN/zE033WTV1dVZTzzxhLV48WLrzDPP5Ib1DRw40HrhhResBQsWWEceeaQJoySAjX6yLPMOdOOtt96yysrKrBtvvNFatmyZ9fDDD1s1NTXWQw89lD/GvAO9OOecc6wBAwbkQ7qfeOIJq2fPntbVV1+dP8a8A7XYtm2btXDhQmvhwoUWAOuWW26xFi5cmE+Xoup5H3vssda+++5rzZkzx5ozZ441duzYjh3SbVmWdfvtt1tDhgyxKioqrAMOOCAfcmxAAwDuz3333Zc/JpvNWj/72c+svn37WpWVldZhhx1mLV682HGenTt3WpdcconVvXt3q7q62jrhhBOslStXxnw3pQO3UmPegX785z//scaMGWNVVlZaI0eOtO6++27H/8070IuGhgbrsssuswYPHmxVVVVZw4cPt6677jqrqakpf4x5B2rx8ssvc+f/c845x7Isdc9706ZN1llnnWXV1tZatbW11llnnWVt2bJF6FpTlmVZEhYnAwMDAwMDA4OiQslwagwMDAwMDAw6NoxSY2BgYGBgYFASMEqNgYGBgYGBQUnAKDUGBgYGBgYGJQGj1BgYGBgYGBiUBIxSY2BgYGBgYFASMEqNgYGBgYGBQUnAKDUGBgYGBgYGJQGj1BgYGBgYGBiUBIxSY2BgYGBgYFASMEqNgYGBgYGBQUnAKDUGBgYGBgYGJYH/DxRJAGFRwb4VAAAAAElFTkSuQmCC", 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rj2yvLomIiIjuRXbBhYiIiORLdsFFVPE3ERER2T7ZBRciIiKSLwYXIiIishmyCy6GvbttsKc3ERER3YPsggsRERHJF4MLERER2QzZBRejcVwabjGIiIioDsguuBAREZF8yTq4sG0uERGRvMg6uBAREZG8MLgQERGRzZBdcDG+PcR7RURERHIiu+BCRERE8sXgQkRERDZDdsFFwHDI/wZcECIiIqp1sgsuREREJF+yCy4cOZeIiEi+ZBdciIiISL4YXIiIiMhmyC64GN4eYuNcIiIieZFdcCEiIiL5YnAhIiIimyG74CIM7g8J9isiIiKSFdkFFyIiIpIv2QUX1rEQERHJl+yCiyH2KiIiIpIXWQcXIiIikhfZBRcO+U9ERCRfsgsuREREJF8yDC6sZyEiIpIrGQaXuwRb5xIREcmKrIMLERERyYvsggsrWYiIiORLdsGFiIiI5IvBhYiIiGyG7IKL4Z0i3jYiIiKSF9kFFyIiIpIv2QUX1rIQERHJl+yCiyHBweiIiIhkRdbBhYiIiORFdsGFtSxERETyJbvgYojtXYiIiORF1sGFiIiI5EV2wcWwloU1LkRERPIiu+BCRERE8mVRcFm7di26dOkCDw8PeHh4oG/fvvjll1+k+UIILFmyBL6+vnBxccGgQYOQkpJi9BparRazZs1C06ZN4ebmhnHjxiEjI6N21gasZSEiIpIzi4JLq1atsGzZMhw7dgzHjh3DkCFD8MQTT0jhZPny5VixYgXWrFmD+Ph4qFQqDBs2DPn5+dJrhIWFYceOHYiMjERMTAwKCgowZswYlJWV1e6aAexfREREJDMWBZexY8fi8ccfR7t27dCuXTssXboUjRs3xpEjRyCEwKpVq7B48WKMHz8eQUFB2LhxI27fvo0tW7YAANRqNdavX4+PPvoIoaGh6NatGzZv3oykpCTs3bu3TlaQiIiI5KPGbVzKysoQGRmJwsJC9O3bF6mpqcjOzsbw4cOlMs7Ozhg4cCBiY2MBAAkJCSgpKTEq4+vri6CgIKmMOVqtFhqNxuhRFY7jQkREJF8WB5ekpCQ0btwYzs7OmDFjBnbs2IFOnTohOzsbAODj42NU3sfHR5qXnZ0NJycneHp6VlnGnIiICCiVSunh5+dXrWUVbPBCREQkKxYHl/bt2yMxMRFHjhzBK6+8gqlTp+L06dPSfIVCYVReCGEyrbL7lVm0aBHUarX0SE9Pt3SxiYiISAYsDi5OTk54+OGH0aNHD0RERKBr167497//DZVKBQAmNSc5OTlSLYxKpYJOp0NeXl6VZcxxdnaWejJVPKpiNI6LpStHREREDzSrx3ERQkCr1SIgIAAqlQpRUVHSPJ1Oh+joaPTr1w8AEBISAkdHR6MyWVlZSE5OlsoQERERVcXBksJvvfUWRo0aBT8/P+Tn5yMyMhIHDhzA7t27oVAoEBYWhvDwcAQGBiIwMBDh4eFwdXXFpEmTAABKpRLTpk3DvHnz4O3tDS8vL8yfPx/BwcEIDQ2tkxUkIiIi+bAouFy7dg1TpkxBVlYWlEolunTpgt27d2PYsGEAgAULFqCoqAgzZ85EXl4eevfujT179sDd3V16jZUrV8LBwQETJkxAUVERhg4dig0bNsDe3r521wzgvSIiIiKZUQgb7Hqj0WigVCqhVqtN2rskZ6oxZnUMAGD5X7pgQs/q9UAiIiIi6/QJ/w3ZmmIAwOVlo03m3+v8XV2y+60i24thREREVF2yCy6GOBgdERGRvMguuDCsEBERyZfsggsRERHJl6yDC9u7EBERyYvsggvDChERkXzJLrgYYoYhIiKSF1kHFyIiIpIX2QUX1rIQERHJl+yCiyG2dyEiIpIX2QUXG/wFAyIiIqom2QUXIiIiahgKRd2/h6yDC0fRJSIiqj/1cdNDdsGFUYWIiEi+ZBdcDLG5CxERkbzIOrgQERGRvMguuLCWhYiISL5kF1wMMcMQERHJiwyDC+MKERGRXMkwuBAREVFD4Dgu1mKDFyIionrDcVxqgFmFiIhIvmQXXAwxwxAREcmLrIMLERERyYvsggtrWYiIiORLdsHFENu7EBERyYvsggvDChERkXzJLrgQERFRw+A4LlYSrH4hIiKqNxzHpQYYVoiIiORLdsGFiIiIGgZvFdWAqOJvIiIiqlu8VURERERkQNbBhc1diIiI5EV2wYVhhYiISL5kF1yIiIioYbBxrpVY+UJERFR/2Di3BgTjChERkWzJLrgQERFRw+CtopowqHDhKLpERETyIr/gQkRERLLF4EJERES1go1za4A3h4iIiORLdsGFiIiIGgYb51qJbXOJiIjqD28V1QDDChERkXzJLrgQERFRw3jgbhVFRESgZ8+ecHd3R/PmzfHkk0/i7NmzRmWEEFiyZAl8fX3h4uKCQYMGISUlxaiMVqvFrFmz0LRpU7i5uWHcuHHIyMiwfm1gPHIuR9ElIiKSF4uCS3R0NF599VUcOXIEUVFRKC0txfDhw1FYWCiVWb58OVasWIE1a9YgPj4eKpUKw4YNQ35+vlQmLCwMO3bsQGRkJGJiYlBQUIAxY8agrKys9taMiIiIZMfBksK7d+82+v+LL75A8+bNkZCQgMceewxCCKxatQqLFy/G+PHjAQAbN26Ej48PtmzZgunTp0OtVmP9+vXYtGkTQkNDAQCbN2+Gn58f9u7dixEjRtTSqrG9CxERUX164BvnqtVqAICXlxcAIDU1FdnZ2Rg+fLhUxtnZGQMHDkRsbCwAICEhASUlJUZlfH19ERQUJJWpTKvVQqPRGD2qwrBCREQkXzUOLkIIzJ07F/3790dQUBAAIDs7GwDg4+NjVNbHx0eal52dDScnJ3h6elZZprKIiAgolUrp4efnV9PFJiIiojrywDXONfTaa6/h1KlT+Prrr03mKSotuRDCZFpl9yqzaNEiqNVq6ZGenl6tZWTlCxERUf15YG8VzZo1Czt37sT+/fvRqlUrabpKpQIAk5qTnJwcqRZGpVJBp9MhLy+vyjKVOTs7w8PDw+hRFYYVIiIi+bIouAgh8Nprr2H79u3Yt28fAgICjOYHBARApVIhKipKmqbT6RAdHY1+/foBAEJCQuDo6GhUJisrC8nJyVIZIiIisj31cavIol5Fr776KrZs2YIffvgB7u7uUs2KUqmEi4sLFAoFwsLCEB4ejsDAQAQGBiI8PByurq6YNGmSVHbatGmYN28evL294eXlhfnz5yM4OFjqZWQNYVBPxYa6RERE8mJRcFm7di0AYNCgQUbTv/jiC7zwwgsAgAULFqCoqAgzZ85EXl4eevfujT179sDd3V0qv3LlSjg4OGDChAkoKirC0KFDsWHDBtjb21u3NkRERCRrFgUXUY0qDIVCgSVLlmDJkiVVlmnUqBFWr16N1atXW/L2FuPIuURERPXngW2c+yBjVCEiIpIv2QUXIiIiahgP9DgutoCNc4mIiOoPbxXVBMMKERGRbMkvuBAREVGD4K2iGmBPIiIiIvmSXXAhIiIi+WJwISIiIpshu+Bi2KK5OgPmERERke2QXXAhIiIi+ZJdcDGucWm45SAiIqLaJ7vgQkRERPLF4EJEREQ2Q3bBRVTxNxEREdk+2QUXIiIiki8GFyIiIrIZsgsuhmO3sFcRERGRvMguuBAREZF8yS64GDfOZZULERFRQ6ir0etlF1yIiIhIvhhciIiIyGbILrhwyH8iIqKGV1fnYNkFFyIiIpIvBhciIiKyGTIMLsLMX0RERFSf6uocLMPgQkRERHIlu+Bi1BiIrXOJiIgaBMdxISIioj89BhciIiKyGbILLqKKv4mIiKj+sHEuERER/ekxuBAREZHNkF1w4ZD/REREDY9D/hMREdGfnuyCi2CTXCIiogZXV+dj2QUXQwwxRERE8iLr4EJERETyIrvgwsa5REREDY+Nc4mIiOhPT3bBhZUsRERE8iW74GKIIYaIiEheZB1ciIiISF5kF1wEW+QSERE1ODbOrQFmGCIiInmRdXAhIiIieZF1cOHIuURERA2DQ/4TERHRn57FweXgwYMYO3YsfH19oVAo8P333xvNF0JgyZIl8PX1hYuLCwYNGoSUlBSjMlqtFrNmzULTpk3h5uaGcePGISMjw6oVufv+tfIyREREZIUHpnFuYWEhunbtijVr1pidv3z5cqxYsQJr1qxBfHw8VCoVhg0bhvz8fKlMWFgYduzYgcjISMTExKCgoABjxoxBWVlZzdfEHIYYIiIiWXGw9AmjRo3CqFGjzM4TQmDVqlVYvHgxxo8fDwDYuHEjfHx8sGXLFkyfPh1qtRrr16/Hpk2bEBoaCgDYvHkz/Pz8sHfvXowYMcKK1SEiIiI5q9U2LqmpqcjOzsbw4cOlac7Ozhg4cCBiY2MBAAkJCSgpKTEq4+vri6CgIKlMZVqtFhqNxuhRFWsbA125WYgp6+MQe/GGVa9DRERkiz7ZfwFzv020ely0urrpUavBJTs7GwDg4+NjNN3Hx0eal52dDScnJ3h6elZZprKIiAgolUrp4efnV63lqclGmx2ZiEPnb2DSZ3E1eDYREZFt++evZ7H9eCaOpuY29KKYVSe9ihQKhdH/QgiTaZXdq8yiRYugVqulR3p6eq0ta2VZt4rq7LWJiIhsRVFJLbc7rSW1GlxUKhUAmNSc5OTkSLUwKpUKOp0OeXl5VZapzNnZGR4eHkaPqhjWbHH4fyIiooZRV+fgWg0uAQEBUKlUiIqKkqbpdDpER0ejX79+AICQkBA4OjoalcnKykJycrJUpiHdp2KIiIjoT+F+d0oaisW9igoKCnDhwgXp/9TUVCQmJsLLywutW7dGWFgYwsPDERgYiMDAQISHh8PV1RWTJk0CACiVSkybNg3z5s2Dt7c3vLy8MH/+fAQHB0u9jKxhbcBjJQ0REZH1NSZ1dTq1OLgcO3YMgwcPlv6fO3cuAGDq1KnYsGEDFixYgKKiIsycORN5eXno3bs39uzZA3d3d+k5K1euhIODAyZMmICioiIMHToUGzZsgL29fS2s0l0MIURERPJicXAZNGjQPVOYQqHAkiVLsGTJkirLNGrUCKtXr8bq1astfXsiIiKqI7bQNlR2v1Vk7SZ/8HcZERFR3TDq4FKLr1WbZBdcDDGEEBERVV8Za1xsz4PZhpqIiKju6Q2Cy4N6PpRdcLGF+3NEREQPolo9hfJWkeVqsgMYe4iI6M/KsMblQT0fyi64PKgbmoiI6EGnr8WTqLU/elwV2QUXQ3W10YiIiORIbwPNLWQdXIiIiKj69LVZ5VJH5BdcHvxtTkRE9ECq1VtFbJxrORuo8SIiInpg6GtzBLo6IrvgYm27FoYdIiL6szIMLta2d6mr06nsggsRERHVjGFWeVCbuzC4EBEREYDarXGpK7ILLg/odiYiInrglRlUs1jbw6iuRrKXXXAxxOH/iYiIqo+3ioiIiMhm8FZRA7B+Mz+YO4qIiKiu6Y1qXNirqN4xghAREVUfa1wawAO6nYmIiB54hm1D9XprX8vKhamC7IILERER1UyZQVhhjUsDeEC3ORER0QPJ2ltF9XHelV1wsXbIf2vtP5ODr+KuNOgyEBHRn5e6qAT/3nsel28UWvxc4+Bi3XLU1fnYoU5e9QHRECHmrxviAQDdW3uiYwuPen9/IiL6c3vn+2TsPHkVnx+6hKT3Rlj0XGFlr6L6OO/KrsbFWrVVzXVNU1w7L0RERGSBI5duAgDytaUWP9eoxuUBHYFOdsGF7VqIiIhqRl+bI+eyV5Hl6jvEGHYjY34iIqKGYM35x+i3itg4t340ZGAw3OFMLkRE1BCsCQ+GF+Bl1v7IolXPrprsgktDKn1A7wcSERFVh9H19wN6SpN1cKnvbW4YXBq6WzYREf1Z1fz8Y/U4LjV+5+qTX3BpwB+FKjUYcvBBTapERCRv1px/DMNKmbXnUzbOtVx9hwejGhcGFyIisjHCyltFbJxrYwwbMtWkvUvmrSLM2JSAY5dza3OxiIjIxqyPScU73ycbNZatrlrrVfSAttuUXXBpyM1cYnCrqLQGP6s595tE7E7Jxv/953BtLhYREdmYD3adxqYjV3A87ZbFz61J2KlQq7eK6uiMLLvgYqx+Y4xRjUuZ5e99+ablvytBRETydVtn+ei31jAe8r9Gr1Bbi1Il2QWXhmxbYnh7yLD2hYiIqLpKrTx/WHMaNKxxsabmpvz5Vj29SrILLtayZkcZ1rLUpI2LAooavzcREcmDziC41Pd5wfDUZe0AdHVF1sHF2rRnaYgxbNeyaHvSA7vTiepDgbYUE/5zGJ8fulTn71VapsdLG+Ox9KfTdf5eRHVNW1LzGpdz1/Jx63ZJjZ9vPI6L5c9nr6IasLZqy5ClwaNy+dNXNRY9X8EKF7LS1VtFuFmgbejFAABsS8jA0cu5+PCnP+r8vX6/eBN7/8jBZ4dS6/y9qutCTgGKdGUNvRhkg3RWdPRYuO2UVe+t19firSKrnl012QUXaykM0oOlabOkUoPcihbVZXqBc9fyrfoQpOfexv9iUuu9oVZ9O5GWh/Gf/o7jaXkNvSg2J7+4BP2W7UPIh3utPuDoSvW4kFNg1esYPteSNl/XNMX4ITHTsueoi6W/daU1v1otX2/rvqsAcOxyLkJXROPp/8Za9Tp/Vp8fuoQp6+NQXCLv4HfpegE2/J5q8pk1rHG53+e5uKQMqTfuduy4rbVumxn/OvSDeddAdsHFcDPXbPCcmg93XLnGpeLpb3+fhOErD2JD7OV7Pv9eFS5PfPI73t91Gh/tOVdlmc8OXsLiHUlWH3T/sfsMPtjVMFXuz352BMfTbmHyZ3FWvU7cpZuYsj4Ol64X1NKSPfjSc4ukv29beaX/2pbjCF0RjV9TrhlNT71RiJjzN8w+50aBFt/Ep0nh2sXJXpp39VaR2eeY89Qnv2NOZCI+t6D2JPe2Tvq7UFv+/pdvFGJbQobZ70NxSRl+ScpCgdb4QmDut4kIXXEQPydlV/u9zdl6LAMAkJxpWa2rrfshMRN//eIoNMU1v1UBAB/+9AcOnb+BrcfSa2nJqu9GgRbTNsRj7+lr9y98D+m5t/G3L4/haGrV43IN+SgaS348jc8q3U7VlZUZ/H3v4DLxv4cx+F8HEHfpJgDra+6NukPX4BrA+BzM7tD1ztJtXrkleMXVwtdHy798K8yEjhsFWpzKuHXf184tLD8wV3XS0OsFlv78B76KS6tRv/8KRboyrD1wEetjUpFtcBVbG4QQ+DUlG5dvVN3tu/jOlUZRDa60hBC4eL0Aer3AxHVHcOj8DcyOPFHj5bXGNU0x8gp19y9YC45cuonoc9eNxky4WWDde++5c9DeEHs3PAghMPhfB/Dc+jhcNBMIn/s8Dgu3JWHdwfKDcKHBlZ9hqLqfq3c+d3tOVz88ZBkEo4owMvnzOMzbehKbjlwxKf+f6It45avjePWr40bTd53KAgCs3ne+2u9tjuHnV1eqx7fx6ci0ILxZIz33thTe6tucyETsP3sdn+6/iNu6UqvXWVNc9XrEnL+BlKtqq17fnPCf/8BvZ3Lw0pfHrHqdt3YkYc/pa5jw3/uPy3XkTuioUFypxkVXqkfcpZtma19OZpRvg+3HMwEY3zWoCWt/q6g+yCa4nMq4hcijaUZh43SWBlPWx1UrGNzWlWJF1DnkGTRqqthpF3LyccVgjBVtaRlmf33C5Gqgck+iAm2p8U+Em/kQDF95EOPW/I4z2aZXZifTb2Hq/44azbOzM/+hvGlwkrTmasfwCrRAa9nr/JGlwdjVMYi9aD5cRZ+7jumbEjDoXwcAlF+9D/noAL6NN39VNffbRKzYc1b6P/VGIb6r4goaAD49cBFDP4rGiqi7AfHKzdsWrUNNXbpegMmfH8H8rSdx+UYhQj+KxpCPDuDWbR20pTWr/SjTC7y1Iwnbj2dUWaa0TI9n1h3B1P8dRWbe3ZPEjcLaaefi5uSA4pIyXLlZiPM5d8NKeq7xdhVC4Ex2PgBg/9nrAGB08jSsETFHrxe4crPQZN/qSvXIyLv/Psw1+N4W3qnxqThpmqvp3HGi/CAffe46yvTC5PZQoZW3ZA2Dy2eHLmHBtlN46pPfqyyv1wv8/YfkKr8L1ZFfXIJD569jwPL9mBN5AifTb+H/1sbirR3131HgRoEWI1YdxKPL9hndxjCUW6jD5iNXpAu8Qm0p/vrFUXwTnyaVMVzuWV+fwF+/OAq9XiA99zaeWx+H0R/HVLkMq/aew4sb4i2+3VRbx4zz16pf21umF/j2WDqmbzqGIl2ZUS2LtlSPT/ZfwMR1RxDxS9XtxezsFPcd6VavF1i0/ZRJg/kTaXnSxbHhV3BD7GV8W81ary8PX8arXx2H1mB75xWWYH1Maq23u3Oo1VerZxU7Sa8XGLem/KAwsF0zaX5SZnkSPXT+BpLfG4HGzuZXN+FKLv6y1jQV64VAobYUoSsOAgBOvz8Crk4O+PZYBnaevIqdJ6/i6R5+UvnKB4dpG4+hd4BXlfPzCnXShyXhimmbjpe/PIacfC1OZ90NLvZVRE3D2pHcO1fbNwq0OJF2C1uPpePt0Z3Q2tvV/JMNGLahUReZBpeSMj2+S8hAt9ZN0EHlIU0/fy0fo/59CED5lW5qxGiT58ZX+imDxTuScOl6IRZsO4UJPf1MyldcQbw+rB0UCgWe/18c0nOLcD1fi1cGPWRS/p+/loecNfsvmMxLuarGibRbGNFZBS83J9hXCoBCiGpdqVSc3BQKBXSlemxNSMfwTiq8uCEel+8c8PakZCP/zkn7kfej0CvAC9/8rY/FV0K7k7OxJS4NW+LSML57K5P5/4tJRbLBFafhCeJmgQ7JmWr8nJSF2UMD0cjR3uT57/2YgvTc2/jvlB5G28Ow5vC3Mzl4/ONDuHS9EJN7tzYoY/xZvqa5e2Aq0pXine+TjdqoVFUDcKNAi20JGTh7LV/a3xVOpN1Cu7d/KV/WcZ1hZ6fAc71bm92Ohq9/6NwNbIm7e/IzdyIKbqmUpi/cdgrfJWRgdHALab65dgIXcgrw+jeJeG3IwxjRWWUy/2x2PnacyMTsoQ8bnSx/TSmvOcrJ1+LVr45j2oAAdG/tafTcA+dy8OXh8pohc9+F+7l8oxBPfPK79J3d+0cO9v6RAwA4diUPvQO80MrTFZqiEgzu0BxA9T/zVZXVFJcgt0CHA2dz8MQjLeHp5iTNU+BuLdu+MzmY1j/A5DXHro5B5q0i5BXqMGtoIDYevoz9Z69LwRe4e8wsLinDjyevAgDO5xQgJ//u8a60TA+HSgdGIQRW7S2vNXtty3F8NOERKF0cpfm/JGXBvZEj+gc2NVmumozB9UtSFn48dRWzhgQioKkbGjnamxxj7qVML7Dgu/JGtdtPZKBt08bSPF2pHv/+rXxdvvj9Mt4d29nsa6Tn3kbPpXuNLmIrO3YlT7oDMK1/ABQKBXaduorXtpzA4PbN8MVfe5nUsiz47hSSMtSYPTQQzdydzb7upesF+PsPKSbTw745gYvXC7H/TA6+fLEX7OwUOJlufftFmw4u87cmom3L5vjG4Cqlqt/5GfTP/fD3dkPE+GC083HHofPXYadQoN9D3mZDCwAEL9mD10PbSf+/vSMZQzv6mO1yma0uNpvs4wzub5bpBcJ//gNJGWp08VPikVZNpHkKKIwODCVleuTkl58MruffPSnYKxS4rSvFzK+OY0iH5ni+bxsAwFX13avtnHwtikvKMHLVIdy4k3SLSsqwaVpvs+tpyLDGZfbXifhL95aYO7y9NG3etyex8+RVdG/dBNtnPgoAOJ6Wh/Gf3m2EKATw4oZ4LBjZ3ijcGH4ffkjMrHY1clFJGSKPpksHwvUxqVJwKdKV4ZfkLAwIbGb+yQLSFxMA3v4+GX3aemHztN5wsLeDprgE+/7Iwd9/SMa7YzvjLyF3A8L3JzLR3MMZ/R5qiuKSMqiLSvCvX8/i15Rs/DR7AHaevIp//noWn+6/aLQulau3j6bmIvbiTTz6cPlBMrdQhwXfncTk3v7oGeCFTYev4MluvnBxtEeBthRXbt7GnpRsKQhVlpShxqEL17F891mj6ekGNRPrDl5E/OXyA0SZEFg0qiOA8s/Vht8v44eTmVL7i0mfHcFHE7qilWd5sL1e6ero0vXyQPSVQRioqJG4UaDF13Fp6OrXRJp37loBzlW62jyTpUH0uetGFxYA8OpXx42+I1V5d2f5QdHH3RnDDUJDobYUB85eNzpYL/3Z9Kr0aGouTl9VY2q/NlAoFEb34b9LKK/R+ikpS5pWue3LwXPX8fz/jgIApm9KwNiuvhgd3AIjg+4uy9g1MdCV6nH+Wj4OGdzSNexZ9FNSFn5KysIHT3TG6C6+8Lpzsr+Rf3f5V/92HoW6Mkzu3RraUj38vFxw/MotZOTdxv+FtMJHe85BV6bHolEdpGPGhz+dNnuhUSH1RiHmRCYCAGLfHILDF29i3taT+HRyd3RppUQrT1cIIbDlaBo6+yrxiMH+nP31CZzMuIVPJ3dHex93ONjbIfVGIZ769Hep2+2SH0/j8KIh0nMMM44QAqcybuFmoQ6D25eHJl2pXvrOfBR1DkM6Njd7a7UiuBjWIl++WYjvT9wNufnFpUah6dv4dGxNuHtO2PtHDrq+twfxi0PRzN0Z1/O1mLnlOIQAtrzUG/3ufC8LtKV4/ZtEnMqw/PbTK3duOf6clI3x3VpixcRHYGeQpSrCla5UjwXfnURrL1ej46rhdyDuUq70XQTKt1Xbpm64dOfC5PRVDb49lo6kTDVe6NdGKpdwJc/sLXb17RIo7ACPRo5GNYmr9p6Hv7cr5n57EkB5Tem8b09im5ka3k1HriA97zb+81wI9py+hk4t3PFwc3d8E5+GHScyceSS+e/wxTvHjpgLNxC05Fd88EQQFnwdX+V2rC6bDi57TufA7qLxAbKwikaJNwp0uFGgw+iPD+Gn2QMwZf3Rar3Hyr13bztsP5GJ7SeMrwqLS8qQclWNv6w9XGWNToVSvZDu/x++dNPo4JBXqSp92kbz91dPZqjR6e+/AgAOnL2OUUEt0MzdWTq5AMCmw5cxILCpFFoAIKuK9io5+cUIi0xEaZnA+hd6YFvC3fXLvFWEj/ddwM1CHT58MgiR8enYeeeqx7AdjWFoqbDvTA72ncnBlpd7I6+wBOsOXjT6MlYcRCvEXbqJ3m29zS5j/3/sl2qmAEjrdeVmIRZuO4Ujl3JNTogV8rWlUmipcORSLn6/eBNNGzsZVTXP23pSCi4Xrxcg7JvyZfzirz3x1y+Mv2wDlu9HrzbltWnVCWCJ6bfg4+GMh5o1xrqDl6Qr4k4tPHA6S4Njl3ORfFVtVHNh6ND569gYexkKhQJRVTQaNKxZqAgtAPDf6Eto5emKKX38sXz3GZMuw3GpuXjhi3jsnjMA7+5MqbJq31D+nXA2++sTiL14E25OpjU6hjYevoKNh69g52uPokurJtCWliEsMrFaocXQ3zYlYOXErniqW/l++u/BS/j4t/u3R6loZ+DbxAXDO6tQcI+2E0B59fzMrxIwuH1zPN3DTwotFX48eRU/nryKg28MRktPF4R9kyi1P/jtTI5R2Xwz7/XODyl454cUDOnQHE0bOxl9Nz66c6vzP9EXy5e9Ryt8e6exb8pVjXTra2q/NvBydUJ63m1oiu69PnEGJ5a41PLQAgAz75xwPV0d8bfHHsI/dp8BAFxeVl5jWqYX0nd+9McxaNnEBT/PGYCPfztvMlZI34h90t+Gt82PXLqJlVHnUKgrw9xh7fBsr9bIr3Q7u6pbPhUXgyuj7u7j6ZsSjMpU1NSsebYbYi/ewMJtSWZfa+lPp7HqmW7IVhdLF1Fh3yRizaTu6NDCHV2W7DF5zvlr+dAUl2L+1pMY2K4ZlowzX9thaPuJTCx6vKNRu6603Nto26wxvoq7gu8Ty7fnlqNpZp+/8+RVo4tgXZkejRvdPbfM33pSqoU3rKmvql3gsJXRsLdT4MAbg4xqJv9t5ntjLrRUOHD2Ojq8sxsA0MbbFVFzB1a5rc25rSvDvK0noa/Bz+FUphB11ey3Dmk0GiiVSviFfQs75/vf/qistZcr0nJr5z7moPbNcMCgarO+zRkaiNeHtcOY1YeMejA0cXU0OrB0aaWEEOW3z1ZM6Crdevjy8GWpiu/9Jzqbre4DgH8/84hJ2Jg15GHMGhIoVedb6/Ky0Wjz5k/3LadQAGsnd8eMzcfvW7Yq0/oHYH2Maa+VY2+HomljZxw6f/2+4da9kYPZk9K9TH+sLTTFpfi6ioNWXfp2et97NhS0t1NUuy2Ek4Mdzrw/Em3f+tmiZXh7dEe8NKAt1uw7j3/do4fc/fwa9hjaq9wR/O6v0m256nihXxvMHPwQei39rdrP8XJzMgrOlf3z/7rgje+sGzvjXlQejZCtMb3w2PhiL0T8/IfUtuheHOwUUphQujjes3YGAFIjHodCocAPiZkm33t/b1coXRzvWTMxvJOP1MC7MvdGDvjo6a74W6UAYs7EHn748KkgBC6unWPM+aWjTF5LoQCe6ekn3UIx5GRvh/6BTbHvThg9vGgIWihdoNcLzN96EttPZGL6wLb4b7Rxm5E23q5GNaZvPd4BL/VviwHL99dbI21z+j3kjdiLN+9fsBoeauYm1ahYQq+9jfRVE6BWq+Hh4XH/J5jxpwwutmZgu2aIPld1OOrT1gtHLuXCwU6BXgFe1fpgVlxRfbDrtHQCVygs70n1WLtmOHiPZbPEjIEPSVeZDcXBToERnVXI15bW2npVFtqxudT+wJZ9/Gw3zP7asl5bz/VpjWd6tsa4NTE1/AG3clP7+mNa/7aY8r84ixpThnb0wfX8Yqknhi0zrImpbVP7+iO/uNSkhrkhzB7yMD7eZ9purSZGBanwS7JlXd3tFHfHNon8Wx/0aeuNk+m38MQ9GltX6OHviWN3akUM/zYnxN/TbFtHuQnwUODA4tFWBZcG7VX06aefIiAgAI0aNUJISAgOHTrUkIvzwApqee+dW3F/8bF2zcw24jTnjywNUq6qsdvgS1yTCGt4ct/z+mPYP39QtZ8b+bc+Rv/XNLQYNqq0Vqle4KekrDoLLQCk0PK/F3pg+8x+RvOe6tYSqyY+UuVzB5hpTFiVMx+MrNHyVZeloQUANh9Jw5jV1oUWoPzW02P/3G9xD5C9f1yr09Di6eqIr1/uc/+Cdxi2Uajsh1cfhaO9cQPPMx+MxLO9yhtJ11VoAcq3b22GlsrrYYnKoWXpU0HVfu6Jd4bhs+d7SP9bGloA4wHZvj2WjtNXNThZjZ6qALDsL12kv+8VWgCglaeLxctmi+aNaH//QvfRYMHlm2++QVhYGBYvXowTJ05gwIABGDVqFNLSql+FPiDQfJuIe5k15GHp7+ZVtJCujtr6kLVscv/XebyaJ+Z+D3njoWZuRtMWjepgtuyofx/C6I9jpGrLJx7xrdZ73Es7H3cENHXD+0/c/z4wUH6FURvCQgOxYOS9vwx9q2g/UxOPVdGepsLboztibFdfvNQ/AEPv9OAAAGcH469be5WHyf4f1L4ZnuzWssrX/ujprpjY4969TnyVjXBowWCzPYkq3Gsdpj/WFifeGWayvLXNqY5fv6beHt0Rv8wZUOV309nBDo8Hm/YqAgAHezv0fcgbP7z66H3f581RHdDVT2l23tS+/ujq18QklDdytEd7n8ZmnwOUfxf++mgbjO/e8p7HKGuOfebcr43Tb3MHYf7wdvcsU10B3m73LwTguxl94enmhK6tzG9jS4zuUr4fth/PxOMfH6rylvrUvv5G/z/cvOp9ZcjeToHWXve+e+Bt0ADZWo8+XPPjoeFx4V7B25Cn690eXRVtA63RYEeOFStWYNq0aXjppZfQsWNHrFq1Cn5+fli7dm21X+PTySH48Mkg7JrVH7tm9YeTgx0q90Cb0KMV2hh0Ax7U/u6JZPrAu11qn+1l/mSwbkoIxnb1RfQbg/DOmE7S9JUTH4GDnQIdW3jAV9kIYaGBNbqq+O+UkCq/WKO7tMDCkR3Q2VeJ2UMDTeb7eRkfmMZ29UXbZne/KC8PCEAXg55L9zJ/uOmJ//Ky0Sbr9OKjpt0aARitQ0VPpwrujRywcmJXo8bIAOBYVd9uMwa3b4YDZmpzfg17DIE+7pjUq7XRdHs7BVwc7bF+ag8kLRmOTdN6STVXU/v6w8GCroqVPdysMdr7uFc5f0JPP6x+thveHtPJqBvo0bdCjcq1bOJidDDa9ko/PPFI1aEFAJq5O+Mf/9cF22f2w+pnuyE14nGT7bJ6Unf43TkIju9e/nrzht09aSwZ2wlfvtgLF5aOkqZVhK1XBz+ERY93hKebE7a9YlwbVBXDA1FoRx9cXjYa/R++f81QcEslloztZDJ9+sC2aNnEBcEtTb8X383oazLNXI/er17qLd0OtdRLA9qiYwsP/BI2AKEdm2P6wLZSUOnT1gtnPxyFTyeHGH03Kj4PHz5ZXhvQ1a8J3qh0ZZka8TiS3xuBD57ojKOLh2LGwIfg5WY+QFSM+bRy4iMY3skHANBC2QgA0MNge0/p449vDGouw0Lb4d2xnbFiwiN40sxnqaIX09M9qlcza45HIwe0beaGwe3Lw+9bj3fAkbeG4vzSUXhl0ENmA29rb1fMHPQw3q20v92c7JH492EWvb9XY+MT+Bsj2uP5vv5Gn4O/dG8lbSfvxlWHtJcHGB/PZg8NNPnc9PD3lHpD3c9CMxeKHz/b7b7P+33hEPztsbZ4OqRVlSPfbnyxV5XnqXtZNj4Yvdp4oVvrJvBo5IBWni4YadAz7/zSUVg7uTue7dUac4fdP1wadqIw7B4d4u+J5f/XxaR822ZuiF8cijWTumHztN73vKCqrgbpVaTT6ZCQkIA333zTaPrw4cMRG1v93/ZQKBR4rs/dhHvs7VAIfXnX4PlbT+L10HYI7eSD0jI9Xtx4DM0aO6N76yZ4d2wnJGWo8VS3ltLQ9j4ejUxev2UTFwzu0FzqfvlUt5b4995z6OrXBD3beOHAG4Pg5eYEV6fyzbg7OVtqKPfz7AF4cUO8UaO6hLdDsXhHMo5dycONAi2CWyoR1FKJCT39pOrrsV19kaMphrqoBKsmPiKd3Du1MD1RfvhkMBIu5yL63HV8PrWn9CEKCw1EobYUbz3eURrLpoKzgx0EgGaNnaXalpGdVfDzcsXyv3TBt8fScelGISLGBwMAts7oh5c2xqO5eyN8PrUHfJu4oJm7M75LSEdrL1ckZarxfN820gmyMns7BY6/MwyO9nYY2bkF1kZfxMe/nUdox6oPBCf/Phw/nMw0uqqxt7NDm6bGV1puTvZoryrfLkoXR/QK8JKG1/5t7kCT8lte7oP03Nvo7KvEe08EoaRMj6jT13BbV4YyvR6r9p6Xel852CmwYuIjaOPtinFrfkcjRztpNMuSMj02v9QbNwq0KCnT4+Uvj2HhyA7QleohUN7tsELfh7yx9KkgdGrhAaWrI36a3R/Prz8qXak42NvhP891R4G2zKgGasWErlI3RUMV3V+7t/aUxgLx83JFhzvb4afZA4zGj/jn/3XFwpEd4OPRCNcLtPg1JRtjuvpK731g/iAUl5YZdVuv0NnXA1P7+uOruDSpYef0gW3xR1a+0a20b2f0xXcJGXhvZwpefLR8vQYENkXMhfIuwZ6ujvhL91bYcjTN6KcIegd4YUrfNtgclwZ7hQIdW7jDz8sV84a3x6JRHVGoLcWrW46jbdPG2Bx3BX/t1wY92njBo5GDUZfz6Y89hN/+uGY0QF7POyetGQMfwvcnMrHl5d5o7tEIQe+W98hr59MYIf6e2HcmR+rJ1cTVEcvG3z3wejRyxOdTewIoHysqrk8uOhvctl39bHe88d1JrJjwCEI7Nsc1jRYq5d3jyKuDH8bQjs3x5Ce/S2NmNHZ2wBSDYN/EYGwRQy8PaAugfH+veuYRfHYwFaO7lB+HOrbwQA9/T5ToBd4Z0wlODnb419NdTWpYXh38MEr1AiODVPhfTCqu5N7Glpd640y2BkEtlfhkv+mt2TMfjMT6mFRpTCSgPJhoS/R4qHljeLs5SScuXakep7M06NJSKQ2MuXBkBywc2QF/+/KY1Di3ogbWzk6B8d1b4b0f7w4nEdLGC01cTWsStr3SD11aKU0a0vZq44WWTVzg5mSPQl0ZvvlbH/QK8IJCocDi0R3R/u3yXi/OjnfDk72dAl+/3Ac7T2ZiW0ImxnRtgYQreVgx4RGE+HuiV4A3XtmcgAGBTfG3x8q3+3N9WmPH8UyEdvLBS/3bwr+pK7D17nL0DvDCsSt5Jo3ZXZ0cEL84FO98n4xn74x7NK6rLxo72+ODXX8gYnwwdp26is1HjO8sVHxu/vl0Vzzftw0mfXYEY7q2QOqNQqkpgJ+nK2YPDZQaEft7l/cUzMgrMhpk8f0nOmNgu2YY+M8D5c/zcsW3dwJ/Tn4xnOztUFImsOyXM+gV4AVHezuMCm6BUcEtkJShNhrAs7KApm54ddBD8GjkgCl9/PFw88bYdSoLTzziixl3KgIu5BTgjywNvnihJ24W6uDp6gQHezuM6VJ+3NFoauFnMEQDyMzMFADE77//bjR96dKlol27dibli4uLhVqtlh7p6ekCgFCr1VYvy6bDl8Vznx8RmiKdeGNrohi4fJ+IPpsjdp28KkrL9CblC7UlZqcLIcSFnHwxdvUh8WtylhBCiIPnckSXJb8K/4W7RNf3fjUqm5F3W+QXlwghhCgt04t9f1wTuQVaIYQQer1elFV6jyJdqRixMlq8tf2USLtZKL6NTzMpY87VW7eF/8Jdwn/hLrEnJVuUlJaJIl2pKCvTi2/i08TOxExpOSro9fd/3ft58pMY4b9wlwiLPGEy71T6LWldT6bniZ2JmSIp45YY/fFBsf/MNalcjqZYPL8+Tgxcvk+cy9YIIYTYdfKqmLHpmPjs4EVx6XqByWvP/zZRzP82sUbrcPqqWjy77rD4995zokhXKk2Pu3RTpOcWirnfJIqH3/pJXMzJt/i1a2LcmvJtOG3DUeG/cJdo//bPVZYtLdNX+bk0VJPtotfrxeeHLokp6+NEwZ3PyrHLuSLo3d1i67F0s699q1Anhvxrv/jgxxTpc5qceUtM+uywmPP1cbFm33lRUlomhBBCV1p232UvLrm7P67eui3Cfzotpv4vTsz++rjILy4RZWV6UaQrFaNWHRQLtp6scp1nfpUghq04IAq15esRn3pTPPVJjDiZnlfjbXM/2pKyKudlq4uk7+eE/8QK/4W7xOYjly1ejpr4X8wl4b9wl/gl6aqIT70prtwolOZl5t0Wr205LmZtOW607asrW10knvokRmw/nm4yb9+Za+LjvefEyxvjpe/wlrgrovPfd4tP91+QPhdCCPGPX/4Qz31+RNzILxabDl8W1/OLhRDlx9r03EKT167Ylt+fyLB4mSurvG/TbhaKr45cEb9fuC6EKD8m3yzQije2Jgr/hbtE20U/Vet1r2mKxDdH08T1/GIR+tEB8d7OFJMyhsf2M1kacSr9lvR/trpI3CrUSf+fvqqW1nvEymihLiqf997OFDFtQ3yV362CO9+bynILtOKrI1fEjuMZ4pH3fhU7EzNF3KWb4slPYsSZLE211vFe1Gq11efvBulVdPXqVbRs2RKxsbHo2/du1e/SpUuxadMmnDlzxqj8kiVL8N5775m8jjWtkqsiLBhNsrrUt0vg6KCQambq274z1+Dt5mw0SFhdu56vxc9JWXiyW0ujESttmRACBdpSuDeqn/XRFJcgJVOD3gFe+CU5G519PUxqkcj2HTp/HUoXRwQ0dUNSphp9Aryr/GmP2qYpLjGqIbR1Z7PzcTwtD8/09Kv143hVhBD48VQWOrXwqHabltqWk18Mrzs1G7WpLs6HFb2Cba47tE6ng6urK7Zu3YqnnnpKmj5nzhwkJiYiOjraqLxWq4VWe3dgLo1GAz8/vzoJLkRERFQ3aiO4NEjjXCcnJ4SEhCAqKspoelRUFPr1M20Q6OzsDA8PD6MHERER/fk02JD/c+fOxZQpU9CjRw/07dsX69atQ1paGmbMmNFQi0REREQPuAYLLhMnTsTNmzfx/vvvIysrC0FBQfj555/h7+9//ycTERHRn5JND/nPNi5ERES2w2bbuBARERHVBIMLERER2QwGFyIiIrIZDC5ERERkMxhciIiIyGYwuBAREZHNYHAhIiIim8HgQkRERDaDwYWIiIhsRoMN+W+NisF+NRpNAy8JERERVVfFeduaQfttMrjcvHkTAODn59fAS0JERESWys/Ph1KprNFzbTK4eHl5AQDS0tJqvOJkHY1GAz8/P6Snp/P3ohoI90HD4z5oeNwHDc+SfSCEQH5+Pnx9fWv8fjYZXOzsypvmKJVKflAbmIeHB/dBA+M+aHjcBw2P+6DhVXcfWFvhwMa5REREZDMYXIiIiMhm2GRwcXZ2xrvvvgtnZ+eGXpQ/Le6Dhsd90PC4Dxoe90HDq+99oBDW9EkiIiIiqkc2WeNCREREf04MLkRERGQzGFyIiIjIZjC4EBERkc2wyeDy6aefIiAgAI0aNUJISAgOHTrU0IskCxEREejZsyfc3d3RvHlzPPnkkzh79qxRGSEElixZAl9fX7i4uGDQoEFISUkxKqPVajFr1iw0bdoUbm5uGDduHDIyMupzVWQhIiICCoUCYWFh0jRu//qRmZmJ5557Dt7e3nB1dcUjjzyChIQEaT73Q90qLS3F22+/jYCAALi4uKBt27Z4//33odfrpTLcB7Xr4MGDGDt2LHx9faFQKPD9998bza+t7Z2Xl4cpU6ZAqVRCqVRiypQpuHXrlmULK2xMZGSkcHR0FJ999pk4ffq0mDNnjnBzcxNXrlxp6EWzeSNGjBBffPGFSE5OFomJiWL06NGidevWoqCgQCqzbNky4e7uLrZt2yaSkpLExIkTRYsWLYRGo5HKzJgxQ7Rs2VJERUWJ48ePi8GDB4uuXbuK0tLShlgtm3T06FHRpk0b0aVLFzFnzhxpOrd/3cvNzRX+/v7ihRdeEHFxcSI1NVXs3btXXLhwQSrD/VC3PvzwQ+Ht7S127dolUlNTxdatW0Xjxo3FqlWrpDLcB7Xr559/FosXLxbbtm0TAMSOHTuM5tfW9h45cqQICgoSsbGxIjY2VgQFBYkxY8ZYtKw2F1x69eolZsyYYTStQ4cO4s0332ygJZKvnJwcAUBER0cLIYTQ6/VCpVKJZcuWSWWKi4uFUqkU//nPf4QQQty6dUs4OjqKyMhIqUxmZqaws7MTu3fvrt8VsFH5+fkiMDBQREVFiYEDB0rBhdu/fixcuFD079+/yvncD3Vv9OjR4sUXXzSaNn78ePHcc88JIbgP6lrl4FJb2/v06dMCgDhy5IhU5vDhwwKAOHPmTLWXz6ZuFel0OiQkJGD48OFG04cPH47Y2NgGWir5UqvVAO7+qGVqaiqys7ONtr+zszMGDhwobf+EhASUlJQYlfH19UVQUBD3UTW9+uqrGD16NEJDQ42mc/vXj507d6JHjx54+umn0bx5c3Tr1g2fffaZNJ/7oe71798fv/32G86dOwcAOHnyJGJiYvD4448D4D6ob7W1vQ8fPgylUonevXtLZfr06QOlUmnRPrGpH1m8ceMGysrK4OPjYzTdx8cH2dnZDbRU8iSEwNy5c9G/f38EBQUBgLSNzW3/K1euSGWcnJzg6elpUob76P4iIyNx/PhxxMfHm8zj9q8fly5dwtq1azF37ly89dZbOHr0KGbPng1nZ2c8//zz3A/1YOHChVCr1ejQoQPs7e1RVlaGpUuX4tlnnwXA70J9q63tnZ2djebNm5u8fvPmzS3aJzYVXCooFAqj/4UQJtPIOq+99hpOnTqFmJgYk3k12f7cR/eXnp6OOXPmYM+ePWjUqFGV5bj965Zer0ePHj0QHh4OAOjWrRtSUlKwdu1aPP/881I57oe6880332Dz5s3YsmULOnfujMTERISFhcHX1xdTp06VynEf1K/a2N7mylu6T2zqVlHTpk1hb29vksxycnJMkiDV3KxZs7Bz507s378frVq1kqarVCoAuOf2V6lU0Ol0yMvLq7IMmZeQkICcnByEhITAwcEBDg4OiI6OxscffwwHBwdp+3H7160WLVqgU6dORtM6duyItLQ0APwe1Ic33ngDb775Jp555hkEBwdjypQpeP311xEREQGA+6C+1db2VqlUuHbtmsnrX79+3aJ9YlPBxcnJCSEhIYiKijKaHhUVhX79+jXQUsmHEAKvvfYatm/fjn379iEgIMBofkBAAFQqldH21+l0iI6OlrZ/SEgIHB0djcpkZWUhOTmZ++g+hg4diqSkJCQmJkqPHj16YPLkyUhMTETbtm25/evBo48+ajIMwLlz5+Dv7w+A34P6cPv2bdjZGZ+e7O3tpe7Q3Af1q7a2d9++faFWq3H06FGpTFxcHNRqtWX7pPrtjB8MFd2h169fL06fPi3CwsKEm5ubuHz5ckMvms175ZVXhFKpFAcOHBBZWVnS4/bt21KZZcuWCaVSKbZv3y6SkpLEs88+a7ZLXKtWrcTevXvF8ePHxZAhQ9gFsYYMexUJwe1fH44ePSocHBzE0qVLxfnz58VXX30lXF1dxebNm6Uy3A91a+rUqaJly5ZSd+jt27eLpk2bigULFkhluA9qV35+vjhx4oQ4ceKEACBWrFghTpw4IQ01Ulvbe+TIkaJLly7i8OHD4vDhwyI4OFj+3aGFEOKTTz4R/v7+wsnJSXTv3l3qrkvWAWD28cUXX0hl9Hq9ePfdd4VKpRLOzs7iscceE0lJSUavU1RUJF577TXh5eUlXFxcxJgxY0RaWlo9r408VA4u3P7148cffxRBQUHC2dlZdOjQQaxbt85oPvdD3dJoNGLOnDmidevWolGjRqJt27Zi8eLFQqvVSmW4D2rX/v37zR7/p06dKoSove198+ZNMXnyZOHu7i7c3d3F5MmTRV5enkXLqhBCiBrUHBERERHVO5tq40JERER/bgwuREREZDMYXIiIiMhmMLgQERGRzWBwISIiIpvB4EJEREQ2g8GFiIiIbAaDCxEREdkMBhciIiKyGQwuREREZDMYXIiIiMhmMLgQERGRzfh/74XHf22DK5EAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 412 ms, sys: 12.4 ms, total: 424 ms\n", "Wall time: 157 ms\n" ] } ], "source": [ "%%time\n", "\n", "print(\"N = \",len(y))\n", "y = np.loadtxt(\"pitch.txt\",float)\n", "plt.plot(y)\n", "plt.xlim(0,len(y))\n", "plt.show()\n", "\n", "c = fft(y)\n", "plt.plot(np.abs(c))\n", "plt.xlim(0,len(y))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare with numpy implementation" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 299 ms, sys: 10.1 ms, total: 309 ms\n", "Wall time: 118 ms\n" ] } ], "source": [ "%%time\n", "\n", "y = np.loadtxt(\"pitch.txt\",float)\n", "plt.plot(y)\n", "plt.xlim(0,len(y))\n", "plt.show()\n", "\n", "c = np.fft.fft(y)\n", "plt.plot(np.abs(c))\n", "plt.xlim(0,len(y))\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "CompPhys", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }