diff --git a/1_numpy_matplotlib_scipy_sympy/1-numpy_tutorial.ipynb b/1_numpy_matplotlib_scipy_sympy/1-numpy_tutorial.ipynb index 2182441..7a53ac7 100644 --- a/1_numpy_matplotlib_scipy_sympy/1-numpy_tutorial.ipynb +++ b/1_numpy_matplotlib_scipy_sympy/1-numpy_tutorial.ipynb @@ -2132,16 +2132,18 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ + "import numpy as np\n", + "\n", "v1 = np.arange(0, 5)" ] }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -2150,7 +2152,7 @@ "array([0, 2, 4, 6, 8])" ] }, - "execution_count": 94, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -2161,7 +2163,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -2170,7 +2172,7 @@ "array([2, 3, 4, 5, 6])" ] }, - "execution_count": 95, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -2181,7 +2183,7 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -2191,19 +2193,22 @@ " [20, 22, 24, 26, 28],\n", " [40, 42, 44, 46, 48],\n", " [60, 62, 64, 66, 68],\n", - " [80, 82, 84, 86, 88]]), array([[ 2, 3, 4, 5, 6],\n", + " [80, 82, 84, 86, 88]]),\n", + " array([[ 2, 3, 4, 5, 6],\n", " [12, 13, 14, 15, 16],\n", " [22, 23, 24, 25, 26],\n", " [32, 33, 34, 35, 36],\n", " [42, 43, 44, 45, 46]]))" ] }, - "execution_count": 96, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "A = np.array([[n+m*10 for n in range(5)] for m in range(5)])\n", + "\n", "A * 2, A + 2" ] }, @@ -2223,17 +2228,17 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[0.41002411, 0.52156709, 0.77687362],\n", - " [0.86406459, 0.00587552, 0.04683701]])" + "array([[0.56313066, 0.29002953, 0.61502088],\n", + " [0.1022442 , 0.26811919, 0.01595774]])" ] }, - "execution_count": 97, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -2246,7 +2251,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -2255,7 +2260,7 @@ "array([ 0, 1, 4, 9, 16])" ] }, - "execution_count": 98, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -2273,7 +2278,7 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -2282,7 +2287,7 @@ "((2, 3), (5,))" ] }, - "execution_count": 99, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -2293,7 +2298,7 @@ }, { "cell_type": "code", - "execution_count": 100, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -2301,9 +2306,9 @@ "evalue": "operands could not be broadcast together with shapes (2,3) (5,) ", "output_type": "error", "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mA\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mv1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31m-----------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mA\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mv1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (2,3) (5,) " ] } @@ -2328,20 +2333,20 @@ }, { "cell_type": "code", - "execution_count": 102, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[0.3767892 , 1.47079714, 0.31117826, 1.29726746, 0.51486767],\n", - " [0.25604237, 0.97247777, 0.34479677, 0.93969314, 0.3976715 ],\n", - " [0.81557228, 1.22841789, 0.86636095, 0.93499185, 0.28560187],\n", - " [0.52515694, 1.56792282, 1.1443364 , 1.84965072, 0.74141231],\n", - " [0.78004097, 1.51298694, 1.22023006, 1.42991218, 0.71648303]])" + "array([[0.72376121, 1.02741179, 1.84320475, 1.4644025 , 0.93766737],\n", + " [0.93371216, 1.36026092, 1.81889819, 1.83440464, 1.04760436],\n", + " [1.09260054, 1.80363181, 2.27237106, 2.28907943, 1.42251772],\n", + " [0.53394728, 1.08528537, 1.22967423, 1.23649788, 0.90293134],\n", + " [0.71121961, 1.11261141, 1.74864104, 1.46510406, 0.95440664]])" ] }, - "execution_count": 102, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -2355,16 +2360,16 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([3.03824466, 2.65209134, 2.94637897, 6.50153897, 5.54270391])" + "array([5.346923 , 6.32008278, 7.66667311, 3.19229347, 4.84861051])" ] }, - "execution_count": 107, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -2375,7 +2380,7 @@ }, { "cell_type": "code", - "execution_count": 108, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -2384,7 +2389,7 @@ "30" ] }, - "execution_count": 108, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -2402,7 +2407,7 @@ }, { "cell_type": "code", - "execution_count": 111, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -2412,7 +2417,7 @@ }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -2425,7 +2430,7 @@ " [4]])" ] }, - "execution_count": 112, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -2436,20 +2441,20 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "matrix([[0.3767892 , 1.47079714, 0.31117826, 1.29726746, 0.51486767],\n", - " [0.25604237, 0.97247777, 0.34479677, 0.93969314, 0.3976715 ],\n", - " [0.81557228, 1.22841789, 0.86636095, 0.93499185, 0.28560187],\n", - " [0.52515694, 1.56792282, 1.1443364 , 1.84965072, 0.74141231],\n", - " [0.78004097, 1.51298694, 1.22023006, 1.42991218, 0.71648303]])" + "matrix([[0.72376121, 1.02741179, 1.84320475, 1.4644025 , 0.93766737],\n", + " [0.93371216, 1.36026092, 1.81889819, 1.83440464, 1.04760436],\n", + " [1.09260054, 1.80363181, 2.27237106, 2.28907943, 1.42251772],\n", + " [0.53394728, 1.08528537, 1.22967423, 1.23649788, 0.90293134],\n", + " [0.71121961, 1.11261141, 1.74864104, 1.46510406, 0.95440664]])" ] }, - "execution_count": 113, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -2460,20 +2465,20 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "matrix([[3.03824466],\n", - " [2.65209134],\n", - " [2.94637897],\n", - " [6.50153897],\n", - " [5.54270391]])" + "matrix([[5.346923 ],\n", + " [6.32008278],\n", + " [7.66667311],\n", + " [3.19229347],\n", + " [4.84861051]])" ] }, - "execution_count": 114, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -2484,7 +2489,7 @@ }, { "cell_type": "code", - "execution_count": 117, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -2493,7 +2498,7 @@ "matrix([[30]])" ] }, - "execution_count": 117, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -2505,20 +2510,20 @@ }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "matrix([[3.03824466],\n", - " [3.65209134],\n", - " [4.94637897],\n", - " [9.50153897],\n", - " [9.54270391]])" + "matrix([[5.346923 ],\n", + " [7.32008278],\n", + " [9.66667311],\n", + " [6.19229347],\n", + " [8.84861051]])" ] }, - "execution_count": 118, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -2546,7 +2551,7 @@ }, { "cell_type": "code", - "execution_count": 123, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -2555,7 +2560,7 @@ "((5, 5), (5, 1))" ] }, - "execution_count": 123, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -2566,20 +2571,20 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "matrix([[5.06458489],\n", - " [4.08471675],\n", - " [4.990684 ],\n", - " [9.17423165],\n", - " [8.08502244]])" + "matrix([[5.346923 ],\n", + " [6.32008278],\n", + " [7.66667311],\n", + " [3.19229347],\n", + " [4.84861051]])" ] }, - "execution_count": 124, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -2613,20 +2618,20 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[0.04208911 0.65828119 0.21987187 0.10069326]\n", - " [0.61960112 0.52726045 0.35884175 0.51931613]\n", - " [0.66708619 0.76886997 0.06792093 0.6548313 ]]\n", - "[[0.04208911 0.61960112 0.66708619]\n", - " [0.65828119 0.52726045 0.76886997]\n", - " [0.21987187 0.35884175 0.06792093]\n", - " [0.10069326 0.51931613 0.6548313 ]]\n" + "[[0.02229536 0.67037896 0.40832169 0.50556638]\n", + " [0.86868781 0.82208649 0.9197217 0.30321799]\n", + " [0.98529543 0.59989498 0.85806822 0.26069024]]\n", + "[[0.02229536 0.86868781 0.98529543]\n", + " [0.67037896 0.82208649 0.59989498]\n", + " [0.40832169 0.9197217 0.85806822]\n", + " [0.50556638 0.30321799 0.26069024]]\n" ] } ], @@ -2638,7 +2643,7 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -2648,7 +2653,7 @@ " [0.+3.j, 0.+4.j]])" ] }, - "execution_count": 127, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -2660,7 +2665,7 @@ }, { "cell_type": "code", - "execution_count": 128, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -2670,13 +2675,13 @@ " [0.-3.j, 0.-4.j]])" ] }, - "execution_count": 128, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "conjugate(C)" + "np.conjugate(C)" ] }, { @@ -2688,7 +2693,7 @@ }, { "cell_type": "code", - "execution_count": 129, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -2698,7 +2703,7 @@ " [0.-2.j, 0.-4.j]])" ] }, - "execution_count": 129, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -2716,7 +2721,7 @@ }, { "cell_type": "code", - "execution_count": 130, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -2726,18 +2731,18 @@ " [0., 0.]])" ] }, - "execution_count": 130, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "real(C) # same as: C.real" + "np.real(C) # same as: C.real" ] }, { "cell_type": "code", - "execution_count": 131, + "execution_count": 29, "metadata": {}, "outputs": [ { @@ -2747,13 +2752,13 @@ " [3., 4.]])" ] }, - "execution_count": 131, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "imag(C) # same as: C.imag" + "np.imag(C) # same as: C.imag" ] }, { @@ -2765,44 +2770,44 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[ 0.78539816, 1.10714872],\n", - " [ 1.24904577, 1.32581766]])" + "matrix([[0.78539816, 1.10714872],\n", + " [1.24904577, 1.32581766]])" ] }, - "execution_count": 106, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "angle(C+1) # heads up MATLAB Users, angle is used instead of arg" + "np.angle(C+1) # heads up MATLAB Users, angle is used instead of arg" ] }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "matrix([[ 1., 2.],\n", - " [ 3., 4.]])" + "matrix([[1., 2.],\n", + " [3., 4.]])" ] }, - "execution_count": 107, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "abs(C)" + "np.abs(C)" ] }, { @@ -2821,7 +2826,7 @@ }, { "cell_type": "code", - "execution_count": 132, + "execution_count": 33, "metadata": {}, "outputs": [ { @@ -2831,7 +2836,7 @@ " [0.-1.5j, 0.+0.5j]])" ] }, - "execution_count": 132, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -2870,7 +2875,7 @@ }, { "cell_type": "code", - "execution_count": 134, + "execution_count": 34, "metadata": {}, "outputs": [ { @@ -2879,7 +2884,7 @@ "(2.0000000000000004+0j)" ] }, - "execution_count": 134, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } @@ -2890,7 +2895,7 @@ }, { "cell_type": "code", - "execution_count": 135, + "execution_count": 36, "metadata": {}, "outputs": [ { @@ -2899,13 +2904,13 @@ "(0.49999999999999967+0j)" ] }, - "execution_count": 135, + "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "linalg.det(C.I)" + "np.linalg.det(C.I)" ] }, { @@ -2926,7 +2931,7 @@ }, { "cell_type": "code", - "execution_count": 136, + "execution_count": 38, "metadata": {}, "outputs": [ { @@ -2935,12 +2940,15 @@ "(77431, 7)" ] }, - "execution_count": 136, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "import numpy as np\n", + "data = np.genfromtxt('stockholm_td_adj.dat')\n", + "\n", "# 提醒一下,温度数据集存储在数据变量中:\n", "np.shape(data)" ] @@ -2954,7 +2962,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 39, "metadata": {}, "outputs": [ { @@ -2970,7 +2978,7 @@ "6.197109684751585" ] }, - "execution_count": 88, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -2983,16 +2991,16 @@ }, { "cell_type": "code", - "execution_count": 137, + "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.4764047026464162" + "0.6281761069770216" ] }, - "execution_count": 137, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } @@ -3018,7 +3026,7 @@ }, { "cell_type": "code", - "execution_count": 138, + "execution_count": 41, "metadata": {}, "outputs": [ { @@ -3027,7 +3035,7 @@ "(8.282271621340573, 68.59602320966341)" ] }, - "execution_count": 138, + "execution_count": 41, "metadata": {}, "output_type": "execute_result" } @@ -3045,7 +3053,7 @@ }, { "cell_type": "code", - "execution_count": 139, + "execution_count": 42, "metadata": {}, "outputs": [ { @@ -3054,7 +3062,7 @@ "-25.8" ] }, - "execution_count": 139, + "execution_count": 42, "metadata": {}, "output_type": "execute_result" } @@ -3066,7 +3074,7 @@ }, { "cell_type": "code", - "execution_count": 140, + "execution_count": 43, "metadata": {}, "outputs": [ { @@ -3075,7 +3083,7 @@ "28.3" ] }, - "execution_count": 140, + "execution_count": 43, "metadata": {}, "output_type": "execute_result" } @@ -3094,7 +3102,7 @@ }, { "cell_type": "code", - "execution_count": 141, + "execution_count": 44, "metadata": {}, "outputs": [ { @@ -3103,7 +3111,7 @@ "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])" ] }, - "execution_count": 141, + "execution_count": 44, "metadata": {}, "output_type": "execute_result" } @@ -3115,7 +3123,7 @@ }, { "cell_type": "code", - "execution_count": 142, + "execution_count": 45, "metadata": {}, "outputs": [ { @@ -3124,7 +3132,7 @@ "45" ] }, - "execution_count": 142, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -3136,7 +3144,7 @@ }, { "cell_type": "code", - "execution_count": 143, + "execution_count": 46, "metadata": {}, "outputs": [ { @@ -3145,7 +3153,7 @@ "3628800" ] }, - "execution_count": 143, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -3157,7 +3165,7 @@ }, { "cell_type": "code", - "execution_count": 144, + "execution_count": 47, "metadata": {}, "outputs": [ { @@ -3166,7 +3174,7 @@ "array([ 0, 1, 3, 6, 10, 15, 21, 28, 36, 45])" ] }, - "execution_count": 144, + "execution_count": 47, "metadata": {}, "output_type": "execute_result" } @@ -3178,7 +3186,7 @@ }, { "cell_type": "code", - "execution_count": 147, + "execution_count": 48, "metadata": {}, "outputs": [ { @@ -3188,7 +3196,7 @@ " 40320, 362880, 3628800])" ] }, - "execution_count": 147, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } @@ -3200,16 +3208,16 @@ }, { "cell_type": "code", - "execution_count": 148, + "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "1.04879166276667" + "1.5460218417057932" ] }, - "execution_count": 148, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" } @@ -3237,7 +3245,7 @@ }, { "cell_type": "code", - "execution_count": 149, + "execution_count": 50, "metadata": {}, "outputs": [ { @@ -3265,7 +3273,7 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 51, "metadata": {}, "outputs": [ { @@ -3274,7 +3282,7 @@ "array([ 1., 2., 3., 4., 5., 6., 7., 8., 9., 10., 11., 12.])" ] }, - "execution_count": 99, + "execution_count": 51, "metadata": {}, "output_type": "execute_result" } @@ -3285,7 +3293,7 @@ }, { "cell_type": "code", - "execution_count": 150, + "execution_count": 52, "metadata": {}, "outputs": [ { @@ -3303,7 +3311,7 @@ }, { "cell_type": "code", - "execution_count": 151, + "execution_count": 53, "metadata": {}, "outputs": [ { @@ -3330,12 +3338,12 @@ }, { "cell_type": "code", - "execution_count": 153, + "execution_count": 55, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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\n", "text/plain": [ "
" ] @@ -3347,6 +3355,9 @@ } ], "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "\n", "months = np.arange(1,13)\n", "monthly_mean = [np.mean(data[data[:,1] == month, 3]) for month in months]\n", "\n", @@ -3372,18 +3383,19 @@ }, { "cell_type": "code", - "execution_count": 157, + "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[0.99782852, 0.15992805, 0.31262638],\n", - " [0.51702607, 0.45658172, 0.66789036],\n", - " [0.77771351, 0.42574723, 0.14011317]])" + "array([[0.46711096, 0.38705469, 0.62367441],\n", + " [0.50990001, 0.88175455, 0.04836426],\n", + " [0.31805034, 0.91664942, 0.47970972],\n", + " [0.85967069, 0.14985438, 0.17380319]])" ] }, - "execution_count": 157, + "execution_count": 60, "metadata": {}, "output_type": "execute_result" } @@ -3391,22 +3403,22 @@ "source": [ "import numpy as np\n", "\n", - "m = np.random.rand(3,3)\n", + "m = np.random.rand(4,3)\n", "m" ] }, { "cell_type": "code", - "execution_count": 158, + "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.997828517861979" + "0.916649423466619" ] }, - "execution_count": 158, + "execution_count": 61, "metadata": {}, "output_type": "execute_result" } @@ -3418,16 +3430,16 @@ }, { "cell_type": "code", - "execution_count": 159, + "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([0.99782852, 0.45658172, 0.66789036])" + "array([0.85967069, 0.91664942, 0.62367441])" ] }, - "execution_count": 159, + "execution_count": 62, "metadata": {}, "output_type": "execute_result" } @@ -3439,16 +3451,16 @@ }, { "cell_type": "code", - "execution_count": 160, + "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([0.99782852, 0.66789036, 0.77771351])" + "array([0.62367441, 0.88175455, 0.91664942, 0.85967069])" ] }, - "execution_count": 160, + "execution_count": 63, "metadata": {}, "output_type": "execute_result" } @@ -3481,17 +3493,17 @@ }, { "cell_type": "code", - "execution_count": 162, + "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[0.97579482 0.78668761 0.61373444]\n", - " [0.58850244 0.9784108 0.08465447]\n", - " [0.57262123 0.44795615 0.75564229]\n", - " [0.36770219 0.34095592 0.16259103]]\n" + "[[0.20200219 0.38766948 0.49383531]\n", + " [0.88519418 0.96898662 0.39487907]\n", + " [0.09463889 0.99524018 0.86314414]\n", + " [0.73508854 0.14591709 0.73610788]]\n" ] } ], @@ -3504,7 +3516,7 @@ }, { "cell_type": "code", - "execution_count": 163, + "execution_count": 65, "metadata": {}, "outputs": [ { @@ -3522,18 +3534,18 @@ }, { "cell_type": "code", - "execution_count": 166, + "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[0.97579482, 0.78668761, 0.61373444, 0.58850244, 0.9784108 ,\n", - " 0.08465447, 0.57262123, 0.44795615, 0.75564229, 0.36770219,\n", - " 0.34095592, 0.16259103]])" + "array([[0.20200219, 0.38766948, 0.49383531, 0.88519418, 0.96898662,\n", + " 0.39487907, 0.09463889, 0.99524018, 0.86314414, 0.73508854,\n", + " 0.14591709, 0.73610788]])" ] }, - "execution_count": 166, + "execution_count": 66, "metadata": {}, "output_type": "execute_result" } @@ -3545,47 +3557,49 @@ }, { "cell_type": "code", - "execution_count": 167, + "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[0.97579482]\n", - " [0.78668761]\n", - " [0.61373444]\n", - " [0.58850244]\n", - " [0.9784108 ]\n", - " [0.08465447]\n", - " [0.57262123]\n", - " [0.44795615]\n", - " [0.75564229]\n", - " [0.36770219]\n", - " [0.34095592]\n", - " [0.16259103]]\n" + "[[0.20200219]\n", + " [0.38766948]\n", + " [0.49383531]\n", + " [0.88519418]\n", + " [0.96898662]\n", + " [0.39487907]\n", + " [0.09463889]\n", + " [0.99524018]\n", + " [0.86314414]\n", + " [0.73508854]\n", + " [0.14591709]\n", + " [0.73610788]]\n", + "(12, 1)\n" ] } ], "source": [ "B2 = A.reshape((n*m, 1))\n", - "print(B2)" + "print(B2)\n", + "print(B2.shape)" ] }, { "cell_type": "code", - "execution_count": 168, + "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[5. , 5. , 5. , 5. , 5. ,\n", - " 0.08465447, 0.57262123, 0.44795615, 0.75564229, 0.36770219,\n", - " 0.34095592, 0.16259103]])" + " 0.39487907, 0.09463889, 0.99524018, 0.86314414, 0.73508854,\n", + " 0.14591709, 0.73610788]])" ] }, - "execution_count": 168, + "execution_count": 69, "metadata": {}, "output_type": "execute_result" } @@ -3598,19 +3612,19 @@ }, { "cell_type": "code", - "execution_count": 169, + "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[5. , 5. , 5. ],\n", - " [5. , 5. , 0.08465447],\n", - " [0.57262123, 0.44795615, 0.75564229],\n", - " [0.36770219, 0.34095592, 0.16259103]])" + " [5. , 5. , 0.39487907],\n", + " [0.09463889, 0.99524018, 0.86314414],\n", + " [0.73508854, 0.14591709, 0.73610788]])" ] }, - "execution_count": 169, + "execution_count": 71, "metadata": {}, "output_type": "execute_result" } @@ -3628,18 +3642,18 @@ }, { "cell_type": "code", - "execution_count": 170, + "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([5. , 5. , 5. , 5. , 5. ,\n", - " 0.08465447, 0.57262123, 0.44795615, 0.75564229, 0.36770219,\n", - " 0.34095592, 0.16259103])" + " 0.39487907, 0.09463889, 0.99524018, 0.86314414, 0.73508854,\n", + " 0.14591709, 0.73610788])" ] }, - "execution_count": 170, + "execution_count": 72, "metadata": {}, "output_type": "execute_result" } @@ -3652,7 +3666,7 @@ }, { "cell_type": "code", - "execution_count": 171, + "execution_count": 73, "metadata": {}, "outputs": [ { @@ -3669,23 +3683,23 @@ }, { "cell_type": "code", - "execution_count": 172, + "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[0.0643267 0.02070895 0.01127191 0.36318507 0.26309744 0.8332378\n", - " 0.79477743 0.52745619 0.35675021 0.55907373 0.18993756 0.15919449\n", - " 0.54789401 0.23186893 0.02898541 0.43545343 0.80684175 0.44014057\n", - " 0.05129167 0.95111801 0.40743132 0.57197596 0.6692788 0.80824496\n", - " 0.40301441 0.84369196 0.95294593 0.14876807 0.58005171 0.30849079\n", - " 0.27846197 0.01062528 0.62870079 0.6416306 0.76945123 0.39443503\n", - " 0.76619764 0.42833327 0.60720341 0.16246792 0.76067082 0.27134944\n", - " 0.36268568 0.78501742 0.36935191 0.43410334 0.10594888 0.12941728\n", - " 0.51760718 0.57260509 0.09756568 0.13216908 0.32918105 0.9338644\n", - " 0.71681907 0.58218819 0.58798528 0.81665138 0.73604797 0.91730101]\n" + "[0.77426238 0.40929437 0.81432176 0.59972899 0.09676193 0.4449954\n", + " 0.01480282 0.26308856 0.58481209 0.74216626 0.22289527 0.46716741\n", + " 0.33195174 0.52399378 0.88372986 0.60158331 0.58945001 0.31668276\n", + " 0.11818297 0.27049194 0.11884623 0.29952595 0.32792733 0.43436396\n", + " 0.646646 0.05237262 0.93389673 0.34454685 0.93967772 0.75029801\n", + " 0.55267409 0.30308383 0.13671956 0.87033557 0.21616756 0.82525033\n", + " 0.63810353 0.71845323 0.85226858 0.01932045 0.18269591 0.62072905\n", + " 0.71238228 0.20326271 0.35548277 0.07583335 0.52520661 0.66373958\n", + " 0.50652788 0.97000506 0.36231248 0.76321265 0.87553314 0.39389339\n", + " 0.13004269 0.23257985 0.5075587 0.24471816 0.97082036 0.5918958 ]\n" ] } ], @@ -3697,18 +3711,18 @@ }, { "cell_type": "code", - "execution_count": 176, + "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([10. , 10. , 10. , 10. , 10. ,\n", - " 0.08465447, 0.57262123, 0.44795615, 0.75564229, 0.36770219,\n", - " 0.34095592, 0.16259103])" + " 0.39487907, 0.09463889, 0.99524018, 0.86314414, 0.73508854,\n", + " 0.14591709, 0.73610788])" ] }, - "execution_count": 176, + "execution_count": 75, "metadata": {}, "output_type": "execute_result" } @@ -3721,19 +3735,19 @@ }, { "cell_type": "code", - "execution_count": 177, + "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[5. , 5. , 5. ],\n", - " [5. , 5. , 0.08465447],\n", - " [0.57262123, 0.44795615, 0.75564229],\n", - " [0.36770219, 0.34095592, 0.16259103]])" + " [5. , 5. , 0.39487907],\n", + " [0.09463889, 0.99524018, 0.86314414],\n", + " [0.73508854, 0.14591709, 0.73610788]])" ] }, - "execution_count": 177, + "execution_count": 76, "metadata": {}, "output_type": "execute_result" } @@ -3753,12 +3767,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "有了`newaxis`,我们可以在数组中插入新的维度,例如将一个向量转换为列或行矩阵:" + "有了`newaxis`,我们可以在数组中插入新的维度,例如将一个向量转换为列或行矩阵:\n", + "FIXME: 加一个例子说明为什么需要增加纬度、删除纬度" ] }, { "cell_type": "code", - "execution_count": 178, + "execution_count": 85, "metadata": {}, "outputs": [], "source": [ @@ -3767,7 +3782,7 @@ }, { "cell_type": "code", - "execution_count": 179, + "execution_count": 86, "metadata": {}, "outputs": [ { @@ -3776,7 +3791,7 @@ "(3,)" ] }, - "execution_count": 179, + "execution_count": 86, "metadata": {}, "output_type": "execute_result" } @@ -3787,7 +3802,7 @@ }, { "cell_type": "code", - "execution_count": 180, + "execution_count": 87, "metadata": {}, "outputs": [ { @@ -3804,7 +3819,7 @@ }, { "cell_type": "code", - "execution_count": 182, + "execution_count": 88, "metadata": {}, "outputs": [ { @@ -3822,7 +3837,7 @@ }, { "cell_type": "code", - "execution_count": 190, + "execution_count": 89, "metadata": {}, "outputs": [ { @@ -3843,7 +3858,7 @@ }, { "cell_type": "code", - "execution_count": 191, + "execution_count": 91, "metadata": {}, "outputs": [ { @@ -3852,19 +3867,19 @@ "(3, 1)" ] }, - "execution_count": 191, + "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 列矩阵\n", - "v[:,newaxis].shape" + "v[:,np.newaxis].shape" ] }, { "cell_type": "code", - "execution_count": 144, + "execution_count": 92, "metadata": {}, "outputs": [ { @@ -3873,14 +3888,14 @@ "(1, 3)" ] }, - "execution_count": 144, + "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 行矩阵\n", - "v[newaxis,:].shape" + "v[np.newaxis,:].shape" ] }, { @@ -3906,7 +3921,7 @@ }, { "cell_type": "code", - "execution_count": 192, + "execution_count": 93, "metadata": {}, "outputs": [], "source": [ @@ -3915,7 +3930,7 @@ }, { "cell_type": "code", - "execution_count": 194, + "execution_count": 94, "metadata": {}, "outputs": [ { @@ -3932,7 +3947,7 @@ "array([1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4])" ] }, - "execution_count": 194, + "execution_count": 94, "metadata": {}, "output_type": "execute_result" } @@ -3946,7 +3961,7 @@ }, { "cell_type": "code", - "execution_count": 195, + "execution_count": 95, "metadata": {}, "outputs": [ { @@ -3956,7 +3971,7 @@ " [3, 4, 3, 4, 3, 4]])" ] }, - "execution_count": 195, + "execution_count": 95, "metadata": {}, "output_type": "execute_result" } @@ -4022,7 +4037,7 @@ }, { "cell_type": "code", - "execution_count": 197, + "execution_count": 96, "metadata": {}, "outputs": [], "source": [ @@ -4031,7 +4046,7 @@ }, { "cell_type": "code", - "execution_count": 198, + "execution_count": 97, "metadata": {}, "outputs": [ { @@ -4042,7 +4057,7 @@ " [5, 6]])" ] }, - "execution_count": 198, + "execution_count": 97, "metadata": {}, "output_type": "execute_result" } @@ -4053,7 +4068,7 @@ }, { "cell_type": "code", - "execution_count": 200, + "execution_count": 98, "metadata": {}, "outputs": [ { @@ -4063,7 +4078,7 @@ " [3, 4, 6]])" ] }, - "execution_count": 200, + "execution_count": 98, "metadata": {}, "output_type": "execute_result" } @@ -4081,7 +4096,7 @@ }, { "cell_type": "code", - "execution_count": 201, + "execution_count": 99, "metadata": {}, "outputs": [ { @@ -4092,7 +4107,7 @@ " [5, 6]])" ] }, - "execution_count": 201, + "execution_count": 99, "metadata": {}, "output_type": "execute_result" } @@ -4103,7 +4118,7 @@ }, { "cell_type": "code", - "execution_count": 202, + "execution_count": 100, "metadata": {}, "outputs": [ { @@ -4113,7 +4128,7 @@ " [3, 4, 6]])" ] }, - "execution_count": 202, + "execution_count": 100, "metadata": {}, "output_type": "execute_result" } @@ -4138,7 +4153,7 @@ }, { "cell_type": "code", - "execution_count": 203, + "execution_count": 110, "metadata": {}, "outputs": [ { @@ -4148,7 +4163,7 @@ " [3, 4]])" ] }, - "execution_count": 203, + "execution_count": 110, "metadata": {}, "output_type": "execute_result" } @@ -4161,7 +4176,7 @@ }, { "cell_type": "code", - "execution_count": 204, + "execution_count": 111, "metadata": {}, "outputs": [], "source": [ @@ -4171,7 +4186,7 @@ }, { "cell_type": "code", - "execution_count": 205, + "execution_count": 112, "metadata": {}, "outputs": [ { @@ -4181,7 +4196,7 @@ " [ 3, 4]])" ] }, - "execution_count": 205, + "execution_count": 112, "metadata": {}, "output_type": "execute_result" } @@ -4195,7 +4210,7 @@ }, { "cell_type": "code", - "execution_count": 206, + "execution_count": 113, "metadata": {}, "outputs": [ { @@ -4205,7 +4220,7 @@ " [ 3, 4]])" ] }, - "execution_count": 206, + "execution_count": 113, "metadata": {}, "output_type": "execute_result" } @@ -4223,7 +4238,7 @@ }, { "cell_type": "code", - "execution_count": 207, + "execution_count": 114, "metadata": {}, "outputs": [], "source": [ @@ -4232,7 +4247,7 @@ }, { "cell_type": "code", - "execution_count": 208, + "execution_count": 115, "metadata": {}, "outputs": [ { @@ -4242,7 +4257,7 @@ " [ 3, 4]])" ] }, - "execution_count": 208, + "execution_count": 115, "metadata": {}, "output_type": "execute_result" } @@ -4256,7 +4271,7 @@ }, { "cell_type": "code", - "execution_count": 209, + "execution_count": 116, "metadata": {}, "outputs": [ { @@ -4266,7 +4281,7 @@ " [ 3, 4]])" ] }, - "execution_count": 209, + "execution_count": 116, "metadata": {}, "output_type": "execute_result" } @@ -4293,7 +4308,7 @@ }, { "cell_type": "code", - "execution_count": 210, + "execution_count": 117, "metadata": {}, "outputs": [ { @@ -4316,7 +4331,7 @@ }, { "cell_type": "code", - "execution_count": 211, + "execution_count": 118, "metadata": {}, "outputs": [ { @@ -4352,19 +4367,19 @@ }, { "cell_type": "code", - "execution_count": 162, + "execution_count": 119, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "('row_idx', 0, 'row', array([1, 2]))\n", - "('col_idx', 0, 'element', 1)\n", - "('col_idx', 1, 'element', 2)\n", - "('row_idx', 1, 'row', array([3, 4]))\n", - "('col_idx', 0, 'element', 3)\n", - "('col_idx', 1, 'element', 4)\n" + "row_idx 0 row [1 2]\n", + "col_idx 0 element 1\n", + "col_idx 1 element 2\n", + "row_idx 1 row [3 4]\n", + "col_idx 0 element 3\n", + "col_idx 1 element 4\n" ] } ], @@ -4417,7 +4432,7 @@ }, { "cell_type": "code", - "execution_count": 213, + "execution_count": 122, "metadata": {}, "outputs": [], "source": [ @@ -4433,7 +4448,7 @@ }, { "cell_type": "code", - "execution_count": 214, + "execution_count": 123, "metadata": {}, "outputs": [ { @@ -4441,16 +4456,16 @@ "evalue": "The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()", "output_type": "error", "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mTheta\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36mTheta\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mScalar\u001b[0m \u001b[0mimplemenation\u001b[0m \u001b[0mof\u001b[0m \u001b[0mthe\u001b[0m \u001b[0mHeaviside\u001b[0m \u001b[0mstep\u001b[0m \u001b[0mfunction\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \"\"\"\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m>=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31m-----------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mTheta\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mTheta\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mHeaviside阶跃函数的标量实现\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \"\"\"\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m>=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()" ] } ], "source": [ - "Theta(array([-3,-2,-1,0,1,2,3]))" + "Theta(np.array([-3,-2,-1,0,1,2,3]))" ] }, { @@ -4464,7 +4479,7 @@ }, { "cell_type": "code", - "execution_count": 215, + "execution_count": 124, "metadata": {}, "outputs": [], "source": [ @@ -4473,7 +4488,7 @@ }, { "cell_type": "code", - "execution_count": 216, + "execution_count": 125, "metadata": {}, "outputs": [ { @@ -4482,7 +4497,7 @@ "array([0, 0, 0, 1, 1, 1, 1])" ] }, - "execution_count": 216, + "execution_count": 125, "metadata": {}, "output_type": "execute_result" } @@ -4500,7 +4515,7 @@ }, { "cell_type": "code", - "execution_count": 217, + "execution_count": 126, "metadata": {}, "outputs": [], "source": [ @@ -4513,7 +4528,7 @@ }, { "cell_type": "code", - "execution_count": 219, + "execution_count": 127, "metadata": {}, "outputs": [ { @@ -4522,7 +4537,7 @@ "array([0, 0, 0, 1, 1, 1, 1])" ] }, - "execution_count": 219, + "execution_count": 127, "metadata": {}, "output_type": "execute_result" } @@ -4563,7 +4578,7 @@ }, { "cell_type": "code", - "execution_count": 222, + "execution_count": 128, "metadata": {}, "outputs": [ { @@ -4572,7 +4587,7 @@ "(0, 1)" ] }, - "execution_count": 222, + "execution_count": 128, "metadata": {}, "output_type": "execute_result" } @@ -4598,7 +4613,7 @@ }, { "cell_type": "code", - "execution_count": 223, + "execution_count": 129, "metadata": {}, "outputs": [ { @@ -4608,7 +4623,7 @@ " [3, 4]])" ] }, - "execution_count": 223, + "execution_count": 129, "metadata": {}, "output_type": "execute_result" } @@ -4620,7 +4635,7 @@ }, { "cell_type": "code", - "execution_count": 224, + "execution_count": 132, "metadata": {}, "outputs": [ { @@ -4629,7 +4644,7 @@ "True" ] }, - "execution_count": 224, + "execution_count": 132, "metadata": {}, "output_type": "execute_result" } @@ -4640,7 +4655,7 @@ }, { "cell_type": "code", - "execution_count": 225, + "execution_count": 133, "metadata": {}, "outputs": [ { @@ -4660,7 +4675,7 @@ }, { "cell_type": "code", - "execution_count": 226, + "execution_count": 134, "metadata": {}, "outputs": [ { @@ -4694,7 +4709,7 @@ }, { "cell_type": "code", - "execution_count": 227, + "execution_count": 142, "metadata": {}, "outputs": [ { @@ -4703,28 +4718,28 @@ "dtype('int64')" ] }, - "execution_count": 227, + "execution_count": 142, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "M.dtype" + "M.dtype\n" ] }, { "cell_type": "code", - "execution_count": 228, + "execution_count": 140, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[1., 2.],\n", - " [3., 4.]])" + "array([[10., 2.],\n", + " [ 3., 4.]])" ] }, - "execution_count": 228, + "execution_count": 140, "metadata": {}, "output_type": "execute_result" } diff --git a/1_numpy_matplotlib_scipy_sympy/2-matplotlib_simple_tutorial.ipynb b/1_numpy_matplotlib_scipy_sympy/2-matplotlib_simple_tutorial.ipynb deleted file mode 100644 index 57c5cb1..0000000 --- a/1_numpy_matplotlib_scipy_sympy/2-matplotlib_simple_tutorial.ipynb +++ /dev/null @@ -1,474 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# matplotlib\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 1. pyplot\n", - "matplotlib.pyplot是一组命令风格的函数,它们使matplotlib的工作方式类似于MATLAB。每个pyplot函数都对图形进行一些更改:例如,创建图形,在图形中创建绘图区域,在绘图区域中绘制一些线,用标签装饰绘图,等等。在matplotlib。pyplot各种状态保存在函数调用,所以它跟踪当前图和绘图区域,和绘图功能是针对当前轴(请注意“axes”,在大多数地方的文档是指轴图的一部分,而不是严格的数学术语多个轴)。 " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# 这一行配置matplotlib以显示嵌入在notebook中的图形,\n", - "# 而不是为每个图打开一个新窗口。稍后会详细介绍。\n", - "# 如果你是使用旧版本的IPython,尝试使用'%pylab inline'\n", - "%matplotlib inline\n", - "\n", - "import matplotlib.pyplot as plt\n", - "plt.plot([1,2,3,4], '-o')\n", - "plt.ylabel('some numbers')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "lines_to_next_cell": 2 - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "plt.plot([1,2,3,4], [1,4,9,16], 'r.-')\n", - "plt.axis([0, 6, 0, 20])\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# 以200ms间隔均匀采样时间\n", - "t = np.arange(0., 5., 0.2)\n", - "\n", - "# 红色的破折号,蓝色的正方形和绿色的三角形\n", - "plt.plot(t, t, 'r--', \\\n", - " t, t**2, 'bs', \\\n", - " t, t**3, 'g^')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### [控制线条属性](https://matplotlib.org/users/pyplot_tutorial.html#controlling-line-properties)\n", - "\n", - "线条有很多属性,你可以设置:线宽,折线样式,反锯齿,等等;看到matplotlib.lines.Line2D。设置行属性有几种方法\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 1.1 处理多个图形和轴\n", - "\n", - "MATLAB和pyplot都有当前图和当前轴的概念。所有绘图命令都适用于当前轴。函数gca()返回当前轴(matplotlib.axes)。而gcf()返回当前的图(matplotlib.figure)。图实例)。通常,您不必担心这个,因为它都是在后台处理的。下面是创建两个次要情节的脚本。" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "def f(t):\n", - " return np.exp(-t) * np.cos(2*np.pi*t)\n", - "\n", - "t1 = np.arange(0.0, 5.0, 0.1)\n", - "t2 = np.arange(0.0, 5.0, 0.02)\n", - "\n", - "plt.figure(1)\n", - "plt.subplot(2,1,1)\n", - "plt.plot(t1, f(t1), 'bo', t2, f(t2), 'k')\n", - "\n", - "plt.subplot(2,1,2)\n", - "plt.plot(t2, np.cos(2*np.pi*t2), 'r--')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 2. Image " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "import matplotlib.image as mpimg\n", - "import numpy as np\n", - "\n", - "# 加载图片\n", - "img=mpimg.imread('example.png')\n", - "\n", - "imgplot = plt.imshow(img)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 2.1 应用伪彩色方案进行图像绘图" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# 运用你'hot'彩色地图\n", - "plt.imshow(lum_img, cmap=\"hot\")\n", - "plt.colorbar()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 2.2 检查特定的数据范围" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(array([ 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 1425., 0., 0., 0., 0., 0., 2297., 0.,\n", - " 0., 0., 0., 2007., 0., 3716., 0., 0., 0.,\n", - " 3767., 2486., 340., 0., 0., 3491., 2569., 779., 0.,\n", - " 0., 5283., 1074., 0., 0., 2400., 5259., 0., 3346.,\n", - " 0., 0., 5892., 1328., 0., 3243., 2695., 6614., 6971.,\n", - " 0., 0., 1697., 1869., 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.hist(lum_img.ravel(), bins=256, range=(0.0, 1.0), fc='k', ec='k')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 3. References\n", - "\n", - "\n", - "* [Pyplot tutorial](https://matplotlib.org/users/pyplot_tutorial.html)\n", - "* [Image tutorial](https://matplotlib.org/users/image_tutorial.html)\n", - "* [手把手教你用Python做数据可视化](https://mp.weixin.qq.com/s/3Gwdjw8trwTR5uyr4G7EOg)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.8" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/1_numpy_matplotlib_scipy_sympy/2-matplotlib_tutorial.ipynb b/1_numpy_matplotlib_scipy_sympy/2-matplotlib_tutorial.ipynb new file mode 100644 index 0000000..8ed7696 --- /dev/null +++ b/1_numpy_matplotlib_scipy_sympy/2-matplotlib_tutorial.ipynb @@ -0,0 +1,473 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# matplotlib\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1. pyplot\n", + "matplotlib.pyplot是一组命令风格的函数,它们使matplotlib的工作方式类似于MATLAB。每个pyplot函数都对图形进行一些更改:例如,创建图形,在图形中创建绘图区域,在绘图区域中绘制一些线,用标签装饰绘图,等等。在matplotlib。pyplot各种状态保存在函数调用,所以它跟踪当前图和绘图区域,和绘图功能是针对当前轴(请注意“axes”,在大多数地方的文档是指轴图的一部分,而不是严格的数学术语多个轴)。 " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# 这一行配置matplotlib以显示嵌入在notebook中的图形,\n", + "# 而不是为每个图打开一个新窗口。稍后会详细介绍。\n", + "# 如果你是使用旧版本的IPython,尝试使用'%pylab inline'\n", + "%matplotlib inline\n", + "\n", + "import matplotlib.pyplot as plt\n", + "plt.plot([1,2,3,4], '-*')\n", + "plt.ylabel('some numbers')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "lines_to_next_cell": 2 + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([1, 2, 3, 4], [1, 4, 9, 16])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "对于每一对x、y参数,都有一个可选的第三个参数,它是表示图形的颜色和线条类型的格式字符串。格式字符串的字母和符号来自MATLAB,您可以将一个彩色字符串与一个行样式字符串连接起来。默认的格式字符串是' b- ',它是一条纯蓝色的线。例如,要用红色圆圈绘制上面的图形,您需要这样来设置:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.plot([1,2,3,4], [1,4,9,16], 'r.-')\n", + "plt.axis([0, 6, 0, 20])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 以200ms间隔均匀采样时间\n", + "t = np.arange(0., 5., 0.2)\n", + "\n", + "# 红色的破折号,蓝色的正方形和绿色的三角形\n", + "plt.plot(t, t, 'r--', \\\n", + " t, t**2, 'bs', \\\n", + " t, t**3, 'g^')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### [控制线条属性](https://matplotlib.org/users/pyplot_tutorial.html#controlling-line-properties)\n", + "\n", + "线条有很多属性,你可以设置:线宽,折线样式,反锯齿,等等;看到matplotlib.lines.Line2D。设置行属性有几种方法\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1.1 处理多个图形和轴\n", + "\n", + "MATLAB和pyplot都有当前图和当前轴的概念。所有绘图命令都适用于当前轴。函数gca()返回当前轴(matplotlib.axes)。而gcf()返回当前的图(matplotlib.figure)。图实例)。通常,您不必担心这个,因为它都是在后台处理的。下面是创建两个次要情节的脚本。" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def f(t):\n", + " return np.exp(-t) * np.cos(2*np.pi*t)\n", + "\n", + "t1 = np.arange(0.0, 5.0, 0.1)\n", + "t2 = np.arange(0.0, 5.0, 0.02)\n", + "\n", + "plt.figure(1)\n", + "plt.subplot(2,1,1)\n", + "plt.plot(t1, f(t1), 'bo', t2, f(t2), 'k')\n", + "\n", + "plt.subplot(2,1,2)\n", + "plt.plot(t2, np.cos(2*np.pi*t2), 'r--')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2. Image " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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D957gPdoaCI75bEa77KTe1BqMJXlPMhbbTEgqkVQkacmSlQ84H7m6vmW365jNZlTNAmMMx4sJWmnG0VJVx1hrBYDNoLL3kjmkmMFnwBrNYjbBKpg3Fb/4+Bdsdj0heKw2NHWJ857ROZ4/fUJwHmMs88URX754CWi892hl+eSTz1iuVjx6/Jhut2N5f8d3PvqA2WzOdDpltVqjdIE18l6MUhgDY7eF6FivHjBWM7rA6zc3nJ5d0LYtp6cnnJ4cSZbY1F+73/9LA5K/ukKEtis4PlpQGk0I0gXqXcQYzS8/f0VdV9iygiR1ckqRwkogCMEzDAPbzY6UEne3DzSzGf+3//hvcXx8xG/8+q/R7nb8o9/7EQ75gFWCwpYYo3E+8tOPP5PnsJbZ4gSdOxkkUEZSYq0SEbDGEIOnbXeMQbMbnHRzUkSFEZIAcE1ZUtoJKUqnZBgdq+UDtqyYTWeURcF2s0IDk6Zm2kiHqiggEti1Gz54711ub265vDjPgVlBioSU6Ieen//0Jzy6fMybq2ti1NS1BG6tFS46dsOO6D3OBa6uryltw65f0/WdlFEaVCJjW0lwmbTvZch/pFOVO3gKnA+sNzucC0wmDdNpJbhGjBhjSAFSChSFwRiwVjGO8vsxQdPUOOeJBKw1eBexpXRj2u2WwlrKumEcHTe3t5yentD3I1VdUjc1KUkXzgfPZrOVrqV3TJuG+WyCNuB7KX18CEyrGmhoty0X52dorZk0E3o3HrqJ261HmwJji4yxeeqmxjvHp5/+kvLkqWTbfYcpSsF2bIUZB+lWBY9SBltpjI5Uszn9Q8fR0YLZbIYioHWJ1lYym7JEaQNKY61k+AApKQbniDFgraWqatw4UBYlVsOji1Pm04bd4NBKCS5pDIW2nJ6e8uTRJTdXVzx5+oQ3b65oJlOcD+y6DlJExYA1Ce9GptMpL16+oPjiBY8eX9A0NYvFnK4bJfAGTzGbkFDsdjtIgaapCSFQliWj87x69RpblJyfn9G1W9rthtm0+dr9/o0IOi5E2mDpl93hayrf4UoHjHaodsD7QEj7tm/CGo02BpUC3kfWD/c0peL07ASXIttty7rtGMaR05NjHj+64NX1LRiF84EYE5RFbt8aki5wQbKfFMkteoghkJASaBwGpk0h9astuLq+wTvHyWLC5ekRTx+d0zQ1MQZG53lzdcv9ak3b9RwfnzCbz7i+vqFtNywWRxyfnLBrW7TWxBhoKovSERcc2kpAPT07wxZFhgORbCclppMpf+F3fofBR8Z/9AdMJyXDMFAUBQpDSEE6bqZkHBK7Xc+TJ0/ZtEtSgtGPgNASyrJgGEbZHErAailnQS6G2veIiUoTQ6LtR3752Ut+7fvvUBYFRlu6vqOwNUojmBCSpRZVwTA4nANjQJuEtZahdxCTBCgtAa8fOkxh2e0GLi4uWK+3jONAVVfUdU3b7qirktOTU4qiYr1+YOt7rDVUzYSbm2vm8xnWzokJ1puWsiwIIUkDoB/xMUpGrGXTO+fw3h0OmxgT/eAIY8/Tx+fcj0IF0LaQ5kI1IWVsjtw9VcTc1LCcXjyiXFSo6Li4fMTN9TVKhUxtkMx8udowjh7vHcMo1AeS0DG8GzHW8vhSQF+j4dmTc06Op0ynE9TdkklTE5Xcy8k7FBPubm85OT1m13V4H3j+/JxPP/+SvuuJZcHposEWjl3XobVGpcRyteL+7p5mMsX7NxijaNuWpmmk3Y8heI93nqoqeXT5iKZp+HO/9evs+pHPPn9B0zRcX11D8lxePvra/f6NCDoAyhSEt/8Srkk+GUMAMqck5e/FKKe9tLUVIUZQlm7coQ1Yazg9OUIpw4sXr3h0ecYH7z7n9dU1yWsJJDHivSOEwMnpGT5KK16hSCGgk2yC0TkUDms0Q99Tl3OOjo6wtuD2YU1dGL73wXf5C7/5PbwbcONABLRSfPf9dzCF4fZhw9/7T/8Ru85zcfmI9WrJw8M9lxcXTKczut0GP/ZM6gUpRTSasR94+fIFi+MzTo5PBUyPMfNfEilGBue4u7vn/PyYfuhZr1tSarAFVFVBaWs2fY/VFgXscibhvKPfReragpbOFQiQn1Ik5G6hVhBSQiUlJZZKucwQYHnb9bx+88A7zy6w1uQNPLCYT9m1HTEk+kGylBQTWsN0MmXbb9BKoXUkhMB6vWI+n1JYQ3CO5fKOup5hioK+2x06YaCo61qwvxip64rgZ1RlBSS58ZVwUawpACVlt7a0Xc+Ll1fEGCAJyBujx9qKGALOOawxaK3wzuNDT11q2rajamo2pqCwBaWR+6cgglbEqLBFiXYd0RiwJb2HX/z0E5Lr+PO2IMZEkcH4GCObTcuPfvoLXEQOUGuF0lAUHM8abFFSFkILWK3XvP/eO9IiN4b3nj/lzc0D0/mCdrvF6ETRNIQYSWiaZsLr1294+uQRV9c3OB/oxxEfAieLCW7wuCERmwnTaUOKEgAvzk9xXqCE7WbJbDrBh4QxSagMzuF9ZDab8/nnn7PdtNiqpCrN4V60xjKM7mv3+jdG8CkllbSlfUr4IDd+SBCDz6emtMoHL5lHCLL5YvCZrKQYBglCRE1hNCkFPv/8swNp8PLsDEiHWlobS1HV+SSPxBCISYiGIQZCJvTFlHDOyUnkPHd3tygl2A2Ad46UhIRVVCUqgTUWoyOayPPH5/x3/tp/g9/5je8wtmseX15gjWHbtkwmE2bTCeenC+raklKkrqSlOp2dMAyevh9QShMyeS6SsEXBxx9/zOs3r3n65JLtdkOIkZu7FVaXKAz9LtC3IzEKFmNshVYV7XbE2gI3JpyDYXT4lDGXJKe2IeCj5FeyNxJJSZfL7ykEAV69vuFhuZNMQCuMhemk5uRkjikM2up885bUVc3i6Ij5dE5KwptKSeGTZ9u1PGxWjNGRVOLh4Z7PPv0lMQQm0xnj6Fgt1yil2e16hn5EacVk0tA0NVprun5g2/YEl+j6kX4YUVqjFNzfPxATDKOnqCxlYfji8894+fKFdGCUkuxZG0ImpJqi5sc/+TnL61eUuwesGyiHLY3vwI30zkG/JbZL1g8P7N58wZsvvmB9d81yueJm2fLm5kFa6koTgmRUpMjRfMbJ8ZyzyxOOFnNm04a6KmjqkmlTY42m73Y0kynz+VwyE6U4Oz0W0FrgbIzR/Paf/22OjhYoY7i+uWMxn6G0oW13HB0fAdD3PSGCQpOCY9JUNE0t5VDylIWlrkrhMY0dzjvJvrRBaSn16rqRbtbDCucDd/dLgTxixBaW5XrNbvj6oPONyHRSSnscjRjDIc12UYKLzsCCikGYkjESlZYaFQEYY5LUeb0ZuF/uaCYzbFFCDMwWJyhtWS2XfPTBu7x4fYUpJ5IaKw1IkHMhyYkfhKHpvfBrdm3LZttijeAei/mE2WxOjJHd6EnaMAwjfnQUVksW5iMhDlhj0VYTvGccB/7cb3yPm9slq7bj2dMnXF1JR2KxmHM2L6gqw6ktqeoJ2hRs2gHvHcfHx5mxrAnRYTL788MPP2Tb7mh3PVqXPH/+nC++/IKkIuMA9w9byrLAuYhzI2Vd8+b6hm07cHJk6INnNyR8FHKaslpavMrIDa0TPrylKhBT5uIIAzehcEnzi0+/BJ5zdNRQ2pLVesVk0uB8ZLna0Hcd1pbEmLi7WzLkLmIMEVsZUNIoGJ1HxYA8e5LW9bDDWCPsbKW5v79n6Edmi7n8vtZUVSl8kn7kYbXmbrkGpWnq6tA11KOn6zpm04Y7BBP7+OOf01Q13/v+96W7FhxWaXonBNWQIo+ePEYRuP3pPyLahsvLRwx9i9WKSilefPEFv/zsc/rBc7RYUFiDdwPJO0KCl6+vcT7w0QfPKQqhbqT5lHfeeYI1BlsItqhyCStNWunM7tnThZV/K6U5OTmiLAzeB6L3GK34/NPP5CAIDqsNISbWbS9/braUVcPoPMPoMcpQ1gUxeE6Pj7AWunbN6M65vLxkt1vhvcMHT1nWkvkrjUIy4rJqIKsDTA7Q7XbLdDrj6vqWN9fXX7vfvxFBJyLgcMikKJ/xlqQ1KUsLtNb5JpCyAiAFAZqlTPIMzuOTIkTF4AK9H5g2DRHNJ59+zve/+yHWagqjCNETlaEoNX3X5Xa3RZMYg5NSJkVpSRYFZV2jSVLHa0NMOpcgFucDLkLvBYwMIeIkdhH6AdWNcpMMPdZYnj+95LO//3s8efwYoaXv+K0f/Aal8vI+M1EtJuiG7kCnd95lnEkCm1aao8UcYyyrzQ5rC7588YKyKOhHz2bVs+sDyhQMrscaw3rVcnO7RiUIMbHbDpT1VDaCzhknCquEpi/nQSJFkS4IiW4v15DvExMuwKdfvOSdp485PZlhrKLvOo4Xc0iKVu9IRFabHa6Vz1tbRVUqmrKmKAzT6YRtu2PdbgHF8fwIYxTj0BNjQOmCejJlHAa891k6EvNrFvzo8eNLmsmE12+u2ew66qamKEpi8KQUOT054tHlGVdvvsRqzWzaCIaXguBZRjGdN+yGnm63RRvN9euXpOiBRGFLfOn4/kcf5FLaUT8/ZX3zir40KC33cN2UPL54TEgwnc6YTBouL86FGoFiOp3ItckscJKUsyEmhr6TgzREkhJZUIocgPqqqrBGs263JCL9GLi9uweEYT+bTon5FNcKVIhUdUXwI93oOJs1qCER/Mjl5VPevPqS0XX0XcvR8TGffv5Ljo8X9F3LfLbAhyBldS6pi6JgMp1yc3vPat2y3Q0cHx9xfn5BYe1BqPTHrW9E0Em5xlXIaRdCyPqbt4DyvnQR4poiaEOhgCStRfWVtmpMiflsyjCOKCVlUe967h+WGH3Ck8ePeHWzlGwJRd00B63Vbuhpt1u0MSwWR9jcfh6GkeAdKdPXg/c45ymrioiUHKvtQLvrCT5wfbfk7mFNylqfprJ8572naK149viSpiqo6orJpObieMazR2es1ys538fA6N5qh5TWrJZrppenhJC4f1gxnzbUdYP3jn/4j/4hp6eX2KJk+XDL6cmCzWbkftVhbcGuk1N7Nqv47MUV3eBZzCpWy45uGFkcn1JYQxxD1v8IgF0UNktFFDEmVJIOjcqcnZSC6N6ilF2DU3z56g2TyfsCptvItt2gteLp08sMnAaMcqyGnlJXFKaisJrjxQxtLJttS3SB46MFbbulDCVKJba7lvl8RgwV4zhSlpbddktK0EymjG7A2IKiKikr4eYYa0kh0LYti/mEuio4OZ7L55EJeDEG6roR/A/BMx5dnrHbbQlBNE3WaFwSmoXWibZdo1WSAGI002lDVZUMvqffyb3z+PKcf+kv/Ba7riclhdKaopQsh5xVupjQRsvrTFnvEAPGFvhhzB16TfRS4oegiCSKUvPB++/x2ZevMjdtwzj0lEXB6D1+MkXFJCWYUhiEelA3DVpryqpiMrEczefUdckwDizXLerVG54+e4fJdMpyueby4olIY2IiGeEpoQKFLbBFyWQ6QduC5XLFZrOhqipSikI1+Zr1jQg6JIniWIMKAqYVZQlZuKgAHyXdNkrwhZDA7AWaKWVsJQsvQxD5w3QqJ6K1nD96QlVPcM7x9OkTXl7d4WPI7WWdcRvY7Tru7+4oq0pq+kbSS2ule1RXpUgV3IgpLFaBSoHtruMPf/IJOSnBx0RIGq0SZaEZXaQfPT5KiloXmklZMK8rnj46pcparKEbeFhuWC5XPH36BKU1u7Zl1pRgLMuHNetNx+npCQkoy4pf/7UfYEzBm+s7mknFph3YtCM+KhZFjXOOsrA8rDY0c01RVWx3Pd47qqIAFQ7lUoygjKTNMSmIe5KhIiYJ0lZncSqalDxojQ8RqxM+JD7+5HMeXZ5wcX5C05R0vcOFjrKwfPThe2zbHc3dAw+rDZvtjuPjC5QB5wR7slq4WPPZnG7oSUSMNXjnuL+/pmlmGG0ZhhG0ZXQj3gXq2lDXtZSHEWazKV0/cHNzxa5PFOUJL1685PGTJ2htMdpQlAXHx0ccHy0yJqV59uw5i/mMfnCS9WkhE1RlRV2X2KLAOceeVfH6zRt8lIOprEqqqqRqKhaLOZu25ez8ghTl2igVpQsbAikmBucZR4f3nn4Y6QePVhE3DpLRhci23Yk4MyaUFtB6udqw3azwPpL8KOU2irqpmUyntNsdyhpCJgYmpXO2mghRyubNZsnTp0+JSUitD8s15xeewpQ8fSKZy36DKgwkhdYWScR1lnj0VHXJYr7g8vKSX/vB9yis5n/9v/rjt/s3I+iQo2jKmU3WlygU/qBUljQ0gKD9QEwRl/U+h7UHfb2j7zr6ccQai4+R5XrL9z94xpPzY5SRNqBWuYNlCmqlhT1clBRlmdvYUlYYawhB1N2btuXx5bnUtEawlRgTo49Ya0QMGSIxeOHLhEhlFDd3D8wmFTEljhfCsi4Lg0La6zc3Nzws17Rth7GGqzevGMeR9957n5PTc3aD5+rmnpOTE1CG9WbNfDYhJfjDH/2Qx4/OadsV22GgGyNKK/q+w2rhc+yGEVU5SqNpdz2l0cyOp1RlhdYG5wa00Sg0QRl0SiRlIHlCEvqAVpAQAWwCyLwTkxQxggNSGHlzdY8tpPxbzCeCc4We+4db5rMFH334Pp998YKH5Zr1agtMSAE0mmbScHxyghtGnHdMpnO6rsf5gEYxjj27rmM2nROTYuj7HHQqrC1Aix5q0jRcXp7z+PElMUb63nF3v8L5xPHJKRHN0eKYui5QSkpW0TdaTk7PhXujDd5JQHj1+pqP3n8OSgTDGEN0nuW6oxsCJ2fntP2WZj7l6n7JGESo+aMff8w4eAmOWWui9tl7tgUYnaepSrQtKQvZlm6UjlBIijh6rLUUtuDm9oGiLCjLin7YorTJHV2BJQprUUoOX2tNrhD0AfccgxzeN3e3zBdX2EKaDtbAw8MDzWTGxcUFSpnsHBCzMFr0W7/45eeslivKqqGwRRb1Joau4/z03cwg/+PXNyLopBSJXtLJGBEuhxV9CkjHxmTeiJG0SD48QCWHUhrvPCEHCEWia1vKshS26zAQUTirZcMER2E0y76TTlBKNJMpNqe6j588ya9MAmAIkXbXMfQ90TsmTc3DumX0UQBYJcpg7xxp/35SIqRE9AlrwKCkUxMTd3c3PHv6mG03Uheaqqro+p7PP/sMbSxNUwv42e9o+x390PPm+o771ZrBB3oXubm9Y9qUzGZTnHM5gML56RmJFUn17PqBECJNVbNct9JB0oYsKhCFc7YxkAAbMWUhJVZKJCVBBmMOth0x6SxCTITc/FRKCXcn7TEgxTg6tlt5/svzc8pCbDqKEnwYubvbMZtOmM/n3N7e8+ZqxWI2IZGzATfi/EiIkW7XMzpPUVQoLaTAGIUgqpSwbVOSTPfh4YHgPecXlxRliTGG2WyO95Fd3zOOnuOjBaMbqao6izIjzkeskQ6WoENQVqJlCyHx8s0NwxgJWGmrW7mKw+C5fWhZrltuHlZ0g+PqeoXWir/zd/8+Zycz5rMZemH54Y9+SjkR/Ewbw2a1ZhwHYUHHyFqp3F1KBwKkzp23hJAq00buL6UNVVVj+5FhGITkaKWUv79fZpuO/ePIXvEhMo6DHFTOobXh1atXPH36jNXqAaUSw9Dz+LG05NPtWrRVMfDhB+9Clbi8vGA2X/CLX/yS169eobTKesnAtm1FwmS+fr9/I4JODIHVw32mvkmXxGiNLgoKa0U4h/T3963bGITVozPYDBnpV0qYniGyXi4ZvaewwjQNCq5u7jielZzOJ7TdQFJGQE1jDgQ4bczhwxqGEUhMmiZ3jAL9MPLlqyuMNcznc3b9QLEPkimitMUa6TLFJALA3gfGcWS12aCNQSvDcnmLtSVlPeOTX77gftWhjaZsRR7gg2fb9bhffMZkdoSLirIq8aGnLMQaYhw9jy4vmU2nrDYdb65uefToSG6gvqMsDHVd8rBpUQrWqweOjk8oy4ppJblj8A5rC2yRBYtRmuTGitdN+go+kIAQ1UEUipLr7qPK10za+VEb3lyvKAvFOASePblg0tQUpaPrBkY3kqJhOptxenLMbtexXG9ZzBqOjmaEMGKtoqkr3OjRWkh1LosJrSnwPuF8h7GWqqkJbhSlvVLMj0/RVkrhYeyZThqsLanrBmMtoe+ZTqfi8eMcZVVRTxq896zXa4qiRNuKoigZXUcM8OjRJSFGiqIhJXEE+OSzV/SDXD+lDcaWhBAYR8c/+Cc/xBrDb//6d3jv3WdYk3j15ZdgCrnftMEoRUi5Y6s02srhpCF3EeUwICWquub1q9d893vfZbnaMJlOCAl2u5ailC7ddjeQdMBgckmc0FnO4r1jt9ux2lQ8OVuQogSr6Wwqson5lMvLp1zfLtl2I+TmTfJOKBtEQvSI9Cgyn09JaG7vVzS2YNf1bNueafP1YeWbEXRipO92ckpqhc7CzElRHABlrYUv4hOkIMZZSgmJL7A/HcS4aBc8OrOIy1JaqafHcyZ1SfAO50aOj+d88uVrlC3xIYIbKazlUKiTDqf/0A9sthuC9wTvqOoaU1QUSktbPUoQlBtHApaPQu1PzguHQWuWqxWnRxMm0zmvrx/4/OUVi9mEdfsxN7c3ODcIUJs65vM5TT0ltIMwcOuJkCSrQkqbBLtOiIhFYWh3HZAoyoKu61DJcTyfMJ0WHB3N0EZx+7ChGzzbdse8qagrjS0MbdcRgkcBzgkPyGpENKokOySJwNHYvWwi5hJL40LCKKTWj1GYzEEy00Tk+uaBdtfx7vPHYoVRlsRpJHjodmtsMeH09JTlas2uD8COxUIkDUoZdruOmAztridGAdY3bc+RqRhHz3a5oZlMqDPwHRJ8/sULqqrKwGnNrh+p65qqqRlGyaqd84zOE9xIURasNy394Nhut9RlQdNIF+1+ueb6+hrvPbfXiflswvXVG+4fVqhiwne++xHjMGC1wtgSY1S2+oBxdBiduLq6EWby/ZZdP+JCJMQkmsGcCYsXks0ZvjRYxLdozCrxM0JuaqweHiA3UGbzOSEKLSCmeGBWp2QOhFogA7xbYcBfnORMPACGZ8/eYzZtuH1Ys2k7xqgwVgzR5IMFUsK7wDh2rJYrLh49ZtN2aFPifKKuLG+ubnj/nX2l8Eevb0TQSRkfsNYyDAMmSds8pUTyAZc7CKJ5EgKfQhGz/cG+LoYkKTOKUAn5LcREUxr+lb/0O3z8819wv97Q9Y7F0THeByCwB4VCTOhEZj9L+hxikABSiG5GVOQWH+QUCumtS6AOER+Eso7SaCOvNaWISgrvApPpnH70/P6PfsbgRkxxQj86Qkw4HzOWBeu2ox2c0PX7gXmIkpU5OWm8AYsShbVRfPbFpwC89/wdPv30M+bzBc1EKPaYRAiOzVaMtgzw+N3HGDUKr8NYFrM598stMaTs9GcyvgZ6r6jmrbvdHo7QKhLJHj8pOz8i0hTJgASri9uBz798w9MnF8ybmmnT0A1CVmu3K5rJnOn0CZ9/+ZL7dUdCCWhrPRERT2pTEqME27IoGJ1j2/U8rDYsNy2nx0eHjKhpatptKw0GvUUZS1WWVIUA0pOJaLEeVkui98LRSYlhHJjN5rihxxrN6dkp9/cPJBQPD0tKq/nOd97nzdVrYjSs7lZMZzNWDw/5IMzldZSsL+V+uDWaJ0+eAIn1Zi1drYyNGa0PMhCjelAmG9TJNVcEUggsV2uqssrd2IAxQh/Z9QNVLR3Y4ANYwSKNjodDmax0L3NGlJTmnWfv03UdH//ilyzmc2xRcXe/IiTeasFCEEKs95SFod3tuLt7wAfxjHr5+pqoDP0Y0Gbk5m7Jxfnx1+73b0TQATkRgvYZpJPUMsZENIboA977/EHuqWmIJCDzdgTLkQBQZPFgYaXD8d7zp9zf3PDZly9pZguu7jYceTBFIZlJFGsEHyPJ+czb2AtLE7vdTpjKMWLLinF0lFUQQ6muI8bAbic0fQGiLRI6JAOKwVOVBe8/fYfX13f8/g9/yugDx8cn9OPA0O01ZxIcFAofE8r5zHqGdtdhy1o2oykIUTRibTewmB3z3jvvU5aGoqiYLxas1lselrJJ1l++YRgTTV3jfWBSWy7Pj2k392y2A9aKeZlPipASpREcQRKXmPVXEoSjT6Luzyfong+iSOJ4pyTI7OkNIBmPD7DedsSX13zw3lNsQXZUhKqCvmtJjBwfH3P/sOLN7QqfIsfzCTe39zysdhwdHdF1A90wMp8ZkjbU9QSlpXXunCMkT11VeC8Wpr53jC6ATQyjRxGxKjH6hHMjD6sNKQQmdYkxlog0ABaLOdOm5mG5JAVPRHF7d8uHH7xPv9sxmzZcXD7j5vYBTeDRxRmTpsIWRQbbxSJiNp9TFiUxRdq25Z1nT4SLtO1IyQseGCMhRgGQjSFEj/IITECCGCAlVpstjy9ETLkv50PwkmHHSFGUpARFYTP+9vbw0FqjbMHxyQmFFlZ2NZnx+OkT7u9XrNsdL6/v6Fw6GNm5kEhBGPXbtqfreh6WG+4fHjg9PeP2Yc1qu2PwkvXuBsW0dsTA165vRtBRUj7JSRlJSWddjPBADNIy92iKrP3Z649CyuruJEJIebhEM5nQdx2LacXzJxf83f/0H9K5iG87+r7n+n5F2+4AJUzdqmY6mx8yl6Q1wflMKksYW6JjEG1WYRj6gZD9ic9OT9lud2zWK0yRsyEjnr1VKb60pMQ//oMfsdnumB+dMF8ckxLc398xDgNGJ9RB4qBRWtTPKQPm280GbXuOjk9EGxUCHsVq3fLo/JiLiwu+/OIz5vNjum5ks9nhnTB675cbTk9OeTKTazKfTimMIgYO5MoUBZshBUxur0YiKpMkUTrbteYTEIVSCa2ki5iUvOZ9hqjU24AkHeyEioI5/PwXX/L82SXTaYHWUVrQXnN3v8ZHwBZ045YXrx+4v9+wWCyI9Dyst/goHSEfU84WFGVZg0pUdYMxmn4Y2XU9VVlgrcVHJxlnNiqLgOs6sYmdzFguHxg3LWVhMdYyaRJVM+X69obZTMiDo/M8vrzk+dPH3F6/JsbIbDbBOc/p6QlKgbWasigOrPr33v2XefXqJQnoup4QAlXV8P3vf58XV38vexnLNQpasMVQWGz2Yk6Zc6by/7SGupmw2cp9Kzw0lbHGyDh0oOS56qqCpFEpAFKGmcyWRyVGH/js8xfsugtuH5bEpNhuxdtpn87u7/2YIi/e3DAOI857SInNruPm7p7trsd5jy0KqsKSkpAZv259M4IO0tLbG2Mba3HhKy88YwUpDIQskdirgeUQlraekJck2/Dek/zI93/tQ378s49Z7RwJwQNGH2h3K7z3EhzM3rNXWt8+P7e450nYLqwBJUCrVhxAZ7EACEymE9rtRkBYFQ8nzDCO9LuWrREh3tnlE1Cw3W4PmFGIMduwpmxAnihKqev3XaPRjTy5fCw4gBd1s1KGdZZANHVBUYhjXoyRYXQ8f/aYsjL0Y0e723Jy1jBrJpyfXuD9iDbQ1AVt1xMTEOV6xD3rO5HNzrOpO4qERqeQ+VIqX3eTfz63g1M66J0kSLxNlgaPBIVPXvDk0TmLWc04eB6WLcPo6EaPMo5mOmezWbPtHcr29C5RN2KjsVmveVit2Ww2TKcN8+kcnQ3W2t2OrutJKdLUNbNJQ10WjC4eOFkxm6SHCHXTcKIU93c3bNqOk5Nj2n5g+9kXTOqK5XKT7TkVk6bEOZGlbLY7caFUEmjE6yqRohcCIOCGlrq0uJzFGCNG+W9u7qmrko0TD27IFBGlcomf3sIGfOX6JymRNpst09mU7kGU4tu2xXnhFI0+5oxfia0q8nnolA5fJyVCTPQ+8uLNNaenp9zdP+TKQmUcKFv2pkRVWH7nz/82P/7ZJ3z5xeckoHcjy+WK3nnxM48JqyGm2Vd99v7I9c0IOolfae0l7yiCbOa9j0sIIbejc+TPTgtRadFmIb66Zc4sdps1H7z7lNV6w2cvb7OVomEYBlS+6PVkltuuCm0KxnHMdXjMRKr9XACdyYfxQEbMzRzRX3UdVVVRFDaXPRpjlKS7iO2BzuXfrt0yDD2QmExnOYj4fBmk/Wi0KN33abeo6BPtdktIwsOw1uSORGIcPdaQW/1G7EOv77KFJzx5fCYyCCUAdFEW3N7cUJSGlIQkRwqUVUk3RtxXFf0J8U/WmuiFt5KSJmqRQYA+3Mwxvi19Ixqi3OghSvDZW7V6L7KFwd3x7NEJVWHFQ6eEnZPOT2WkFBiyG2BZFmy2W9abtXR2AK0LBhdZaE1dV4zDgHOeoiwgJdqux8dEU1eURYGOwi7fq9UF/Ya6qnj3+XMA7h+WLJcrppMJLkZmTU3bbvGjZzGfs1ou2bYdMWpKU5LiTsDqwhxa23vF+s3tHVXVoBGHQrRi13l2g0cbwW2Es5ODey6D9pq24AU3VDGKd7UWTCUE8dopq/LQeY3OZ4M3YZO70VEUpWi40qHiPciJVBItY4yKzz7/HDeMaGNEw5YV+8F72l3HTsHf/tt/h9VqLVmcMZhmIthV9hFyzuGs8NwmzZ8BP52YIn3fZ2N0Ifs1k7l0GTIxMHiXg4PYhRIyqEnMHjtyirXbDaTIxdkJowv84SefMWaA1mYP23a7/opfjwgcg3eHsShag86YUF2VYiNZWurConXK2jC4Xa5JxqJSxI8DJ8dHpATdIB2y3W57YFsH74jeHYiM2lhsIdyifTAlSaCLMeG8l4zPx9yZM+xasWL1sykxldKpIXF3/0D9+IwhBq6uxPBsNp2wWq/pO8vloyNIgRgDj84vWa9WAtibihAD4yABpyoKuqHDB7mW4syY7S4OpDZRNucXLcEoHwRok0F5xX7czh4gH0fp4qXMkEUp1ruBo84xnUyoMYyho7SWttuSlKKqTpjOpqQQsvvgIOWvza6Qk0m2QPXSFMjiQ9eLL7YxRqxNx5HZpJHAk49hbS0RDuTPuhY/oWlTEbMSPIUC5wNoS9+PNJM5fbdkvW1JiOl+jEK4s4XFZ+5LCLDZjhgjh4X30qlqd47r5YbBSyaq95jNniqCgNDOybVOKaFSIO3/rhJX1zc8efyIcRATroecoYQoB+JepxiCNBEE9xHfIGMNj85PabdbvPdcnJ+x6wdufnZN23WUtkDFCVXGOp33dN2O8+MFpVHMHp1ydn5G1+7oXRJdozK4nH1XhWY2m/Lm+vZr9/s3IugoFHUzOfBjlJKLtmvbQxcA9lmOXNTJdEYMnroqqauKdie+uZenRwDc3N4KZyHBrBGTKmsM0+mU6btPuLt/AOBkMefi7ITppKapC4xR4rY2jBSFeB0/3N+zWMw4PTnK+q6AD/Cf/L1/wDB6tBXfk77rwZaw2TL0HW7sAQhBJgj4w6YDnQlVIWd0IMF1n5orOHCRgtQ+JODo+ERKwJwd6cJQNzXTacNyec/PP/4ZH374/UxTj0SrsHZCDInprGQ6mbBc3aNNztLagZActZHTTdinhsJqGUHCvjOIgPxyBksbVRs5NXWe6yVwDonE6ITi7/zb95zSWx4WCVxMPKy3zGdTUoLRObQWS5AUI8vlA4vZlODFc7hqGhRKskor94pzjn7Xylw0JaRE56TsKaoC5YXtvWl3NFXFpKlljlWSjBRjCD6zdI1kkJOmFvW6Maw2G4qyRtuCsq5Yr0eGceT46AQ3DvTDyMvXN4ToGV3I4lzNru1ISWQ2ko1YOp/oBsf9w5Jx9Icse398piQi55gzzH03TB1M1BA/p7phs17x9PkzNpsNahikvc6+dIqHJghAVUrGM6krmqZhu15zfHREkZ0ay7Kk73uInl3XMZlOUUYyMKsSyY+cnJ4yn0346KMPefHiJd3gUGh6F3h9u2TZ96SouL27Z7stv3a/fzOCjlKURngBxljqqsqtYM1s0tDuOpQ2nCxmzOZzHpYrFvMp7z695Hg+4+puyc8/+ZxiVvPuO8/48PkFY4j8/o8/oRsc3/vwPfpdS9uPFFbz0fvvcrfaANBv13znw3e5vblheX9PUVq6rmMxm0ISnsJsPqW0ml27pSgsZVmwa3d89P47EqCcw2P4+SefM7j4FfBY6mvF2xakylYa0nZ+yzeKUW7y/YCzvaIeRGphbInPfKDdriOEyGTSUBjFrh9JyjJpZvzmr/869eSIz754gQ+eYVS8eXPD40fnPLq84P7uBqWkHQ3QTAqsF/2Y1qIVS0RMdgfMMNmBBCgvKQsUY4QUQBV4LxvIh0jXB0afh+btf2e/EodNJtnOyOevb6lK0bbtepczokgIiWUMXJxfYI2m63v6fmC92YiEJDseeudluF4GjkwhWeCu6w+n/+ACLnREFHUtGzgmjypKbGEZRo81SqZUVDU3tzdsly11MyE4x2wxZ7VcEZMY2qvkWa+WKBJvrq6EXFiXkAwxOObzCVVZUBQlLnhevblltd7gfaAfBvZge74k4mGUsUKjTCaQit+Qzo0Wk/fK9fU1p8cLbq5vefT4Cd0XX1I5ISumPS6kxU5ls16jFkdiXN/u+MUvPyPGwLYbMoYUMWWFD5GoQXsvlhaZ2a+Qw+D27pZHF9+h71qePX18mFt2e7/l6vYBHwLL5Zq7GFnM//RH0Pz/vM5Pj/g3/sZ/SzIIH3j15o7t4Kis4cP33+Pl1TV9PzCtLI8eP8F5z8uXX/Lk4pTFYkYzmXJ+eUkMkc3DDUZFmqrid3/3d2jbjt12y/d//dfF4OjFl2itefr0CUZr3rxweDcyjgMPqyUhSOvxtrCcnpxydHSE1prBRbQWKrnzkdEnfHDEILYVSgYfih1lBjVjKDKZZY9tBJEiZGZvzKXjHiwOUbpB7IHxnPXsAd0YAg8P95Dr9rIoSFVJ23ZSBgCTScOPf/oTTDa0Uo3Gec+kqamqEpRMp5Cg5qibCjXArhspCrElsJmJLEC7Pni9xIwDqIxFSFPLiO1CUoxjFrUG6Xah9CHdJ6WDXmvvCiDvU8y2TMa89r46KWbHAS+D3foUGYYO5+IB8xjGQYzWckOgLkt8iuh8XXUm2YXccQHNpt3hfZBOizak2JOKMne5QpYdaCbTOVobylKCRgiO1Ub8ki4uLhiGntuHG2JQPH38GFsUosqPiX7X0jTStm/blvvlmtu7B0Yv19QaA8YKgznbRWSu/YFqIddIDoG9vm/PCvduFMP3uXTe6tKyWQfJQpW4LZiviJid90z2my3JrK4Ib0FrpSnrmuAcHI5JeRxrC7F+VcIPq+vmUOoppZhNGwmKSia8qpTo3df3zL8RQUcpxXzWMI4j/eD43g++jylrPv7pT9Fa8Wu/9n12u54vfvkLzs7PiClxd3dH24+YQpS9U2ulN+sayqpk23tsMSHFyNXNHSfn58wmDbPZVHCJEDCIkjnGyMnpCdoUpExM1EYzDiMhyMVOKWIyZcJk+vpiNs3ugwWmsCxmE26WW/G0NTYzTn0eUCYkw5Q5OJBQ3ueTmBxkcgdOrorgVNk+0x1GBxf4TNtHiL+MPtD3PfNJyfZqS2k1s/mCTz//nEldcTSfMp81LJd3XJydcnN/jRsiKdgMPEbcKBtzH3AGJ2N4dYRaacyelKo0KUq7PCGSCOcDgwt4/5VBffFt91ECD6i45+7sNxaHsso5K1MgtCEmnztlErD6oWc+m9H3UrIkTO6sgFIyqVVFAcBJ0uovsqSj7wfBjLU5eF6PbpTXZLJNiZLPyBqDCwEfPfVkyqRp2HUtNmkW0ylX1zcSJELBbFajDcyOFhSF5tNPf0HCMgyOpi64uDgTZ72HjbChJzP6Tcs4DpJBKDAqkNB5wCFvs8BMXairAqM1VSEd1rIw4sBQFBTWcH55yXQy5eWba1yI7FoZTih6QjI+qais4nsfPGO1XMmB++QRn714w91qe8BCF4tjQBwrVe5V2tzZXa03HM9rdl0veGbwpEwOLMqKi5MFq7bn9OQY57wQZ79mfSOCTkyicZJuUOYmRM9i3hCil9Ikei4vzsXrNSY23cjtTz5hMmn4tR98RzRLWnF5cSadFD9we3PL7cOa69sH4k8+5mjW8P6zizyKtcd5BLchst3u+MUnnzBfnLJZP3B2dorNY1+VkuF5ZaGznaUmDf0Bv3DDjqQMi2nN7cMqty8z+pFtWA8dUN6yVXX8irF3Bm0Psg+1V3WrA45EipRFcfj6nqAXUGx3A0fzhrPTUxmCFxVnJyeEEHn6+JLdbks3bCis4XhxzN3d3WHudYqKFBRlKRKFdnDiFohYwaYo2AfJgxLeTkTnUkFKKcGPc/aT35OA0PIZ/+p9+Hbud44/DM5jC0tCZmyLIXiiLAqZN2a0ANro3PbVWbBqcV7KVMlS7QE83Zd3IAD9PstQWjM6R4FCqUgKnr6PgvcYYSwfsCptCEhbuGkamds1eKYN2FLxcH/P7d0nHC2OJGMtIovFlHHo2Wx29LsW5yLWFjQ2MTuaUNUlTTNlPpsdOFcxBUpjmc2mUjYXBdNJRYri0Q1C2yiziDXGQEhgrUwZWW93eOfZdbuv0DWlQWdV4uHujr7v+e53PpKya9vKfZbV41En3n33XXa7Hd2uxY0y3qaqK/qd4DchRLbbLd/97ocYWxDDiFaaqEo+fXXDdDJh13WE7s9A0NlzbbQ2TCYNRkeCl26QpB4DTWU5O37C3/v7v8/r23tCkPlGevQSELTPrVFL33U8LDf83o8+ph1F3v/Fi5csJjWXJ1OmeUyLyiVEU5c8e/qU6XTKpJlydX3Nd777HX72k59yf3vDy9dX1E3N8dGJtL+NwmjFbFJRFOLxe7/acPOwZdPuaDcb+mE4mL+HzPVR+i3ZTzpamReTOw9Kom7muKgceISTZE2R7T090+n0wEkiRVIyMiAuuxx+8ulnlGXDxfk5L99ckTQsV0u09ry6es3jyyfM50esNysSnqosCU3CusQmm46LxJbcydMoJUBrCCmn7IFd7/AhcRDq5vcRs7cRaZ/36AN+AXsCIYfTnYwt+BCyjCEb82tp4YpVQ7brzDmQMTbr8chCUNmYVV0h86Ji7rZldXzWxgHZ+0ecGGPuDBpt6IdRRhEbmTIalcXYkvlsRtcJC/nh/kH8anYjZVFBStT1FFtYjIbzyYKqqthudjx//oTf/u3f5Pr6msXRMSlLYlIMTCZS8ETIhnAjSmnKsqLL42KMtQQfsSYb5Mcko2RQNJV04qyOnC4afhm9HGx7zx2TO4gA2rDpBqqyYtV23N7KvDC0loaAkmv4+WdfMLqRQsF0KvO5qqpGK/iN3/wNdtsVy9Wa+eKYSVOI60KCszPxSHbBiQfTr4B4/+z6ZgQdrTOnQOUU16NTorLZyd9AWVV8+eIlr169pPMJY7OwkcQf/PCnqDBSGgFIxQpTpl1OZ1IuhAh1IU58PiP7+5odpRj6gUlV4sYdY79j6FqOjueUVclPP/mUn37yKU0zYz6tqQpLVVoeX5zyg+9/jzEm3nzymtc3D7y5upZ2K5Ihve28gTWKkGLmGUnNbors5RKknpZZVPk0V+ogCyGXGgmo60pKinz9Ykq0u4HRB4qq5jd+7QfYsuaHP/wp56fH3N7dQRqzrUTk5vaKp4+fMwtzHlb3lKWibgq0UTngZSAyJsrSZlq/IiTFGIRCLy1wDuUU+7LqK/ebxJOvdKy+8u9/6qcOJMO6LvOoGs/eJdKHKIPlbCGbJSUKK4/jg2jnlCLPAhsxWYJRFDJhZN8d3PvCGGPQCH6WUpJgZ0Vc7PNkVWsLuZ5GM3jhSt3f3ZOi2Jw0VcmmdfgwiMgyOE6OjlE6oZWwfqfTBlJgMavRSaxmy6IU8zjvGbMtr2AwInLeDj0xCjVks25zhisdKB8CNzf3B40eJObThotHj3HjyK4THyaZhyV+UEqLA0DbDewGx2orvCeyf9Ve4KzyfVRYK2OSUwIlmjFT1XR9dxh06bwnRsGvbFlJ5g34GAT/O0AEf/T6RgQdEK6OTpqo81RJtb9RI8F5yknDdFpzPK/5zvkFd/dL6qahafLsZzvnaDHno48+JITA2fkZP/zDH1I3E/pux/3DirK0VFUpmz/76BgjdbLwGiJ1NeH9Dz5ks2nRSnF8NOdf/Vf+Ir//+3/AatdzciS2lpBophWDG7lf7QgxiXetNZkwJRe/sDV7pi5AkWd1xZgzmMJiqhJNjTGiUt71g7TfU0LpPEsp4zfBe3a7nfj+xv0UzyS/049UpZADBxc4PTni1dUN9/cr6ipR53G4RWF5/eY1xtSs1iNNremHAe/k2u87S8ZIKxzkLfRjoB98psJn/dsh9O1LKg44lfqV7+eAk8vGt/wUlVP8RGELClMQzNv5UD5IZ0rwzqyaznIRkGxIHlCug/dCkjMmZz97/tOB66LeegXBQSYQ3YjJc+KdE6/qt8McA8ZYFosFzjlhPQ9QN0ecnhwzjh1GpVzaie3Gk8cLppOGH/7wxzx69CgHO83gBBi/u98QEVO4EAJGRR4/umCzXvHly2spMwtLM2nYbrY8efKIo8Vc7t9CMr2+H7i7X3J+ccHF+RlDkM9rvd5kDEumnUASHDEzjI2WjBIFKsgHlRKM44AbBqxKMJvSNJNcAitxRSz2li/5WmbKhOBH5GxUHbhQf9z6ZgSdJNyMoihAQcwG4UKjkOzEWMMH77/H8v6W737nI168eMl2u+Odd9+lqkq0SsymE7733Q+wRcnLFy+5uDiVmeB2Iu3QqiZ66URIyp3EmRDxWUYpdr3LDGjBYvptR12X/M6f/21++POfYLWwOWNSlEXBYnHMZuepioKThcbwmLHfScagNTaXYtbY7OliqZsmn+Iym7ssBDtqmorBJ/6f/8nfz1T+JIPvYiIZMasKeUJGVUequskM6oTzgXbXUdoJu13Lx598wrNn7/KzTz+n7zqm05mwSQtDCMJveXN9y9Nnz9lsWq6u71nMhEAXooDpKKASu4h+8PSjJ6a3fJt9mNkDwn9UgNl/c5/p7FMhrY3gXvFtQA4x0ubSQivw3jGO0i523jGZTA/Y11dvnn3JWhSFKP29z6d2foV71XfmwsT8SpWRjlmMkagcIeg8+jiboGPYW9kmwBYli6MjzmKgrCpSktlii+mMp4/OmTTlWyA9gS0Krm/uWD4sOTs/l8F6IXJ3t2S12VE1E4wpKKuGoRcHgGYy43vfl/n0+4z2pz/+cfZyLvjwg/dzOaRYrjZ88dlnKCKFgeAddS1m7xGFydc/xkh0jr1YOlpDmTlhMu9MM51NSDHQrle4JA6YTS2ODSolvHNMJzVj9JD5R86JPKQsC7muMYmdafozgOkk8ggYP7wVICI3xjAOWCMapdOq4uTkBO9GJk3FbrejrsSaMYSAd45/8o//IT/7+Sc8ffqcJ08e06cddT1jOp3x2Wefs2+qhJioypJtK+N1h6EXw6fBHSJ413dZGpFoasvF2TnbzYqUPHXmzaCEBf3k8oRnz58Rg2Oz2TCZNFgj5dvV1RUpyZiZEIL43SYy2Cmn6GTSELynDkAKKGPRSEl2SFn3HaQYxV9nf52UJqLZbFtOFrXMKKrFsKrfiTFY0kpG7GgrHBofmC8WtN3Aw3pNiAlry4O3TghycjufMuEuHOaoK5U3rVKU1lBVBaOPOB+kXf4rNVb6alQ6rK8a70snScre6CXoOycNBB9kA8gEjn1TOXti/8pjSmlqjAZkDneIYoFibMHBiwPRFGmjcwaTyZgJohtxKjPXs1eSyYMbUxIWs49wcnSC0WRcREYMNbMZOkt2YhAP5LIoePfdZ2w2LcZahnGkqisePbrg8rHJ4lAJgW3bUlpQ2qJtLfhTDJiMryzmc8GnopPMMEJTGp49e4w1Cqu12O5GwRFTDpbeuVw2Zkb/V4J9YS2FNeg8uXaxmLF8uCcFhxsHfAgUOciPThwArq86cSVQ+u21UzK5RCgv+cD6mvWNCDokWK63+dQRwM97jy1KxtFRVwVVFRj8LdPZgm5wRCxNM+PTz15wdn7BZrOh3e0wWnF8fILWhr/9t//ugScynUxod2LZefew4uTkhPv7paDzvTjLbduWGGToWFlaQvKkICM3+iHws59cMbqR8/NjtHZ0O8/V9DVEx9HiGKs8AY9RkeBHxiGw6zS3NzecX1yw23Ws1xvOzk4zhqHyfCxHbAOu75nNFzy6OKP3itGNIsLMwLLZC0RDoN2uqKqao/k8A83C0gbN0dERv9b8Gu2u5+x0TlEafHAUtqIbRkpTcnZ6wWrdcXP7wLRpKLS06OtSmL3CxdHsuiF3FPeZjVielqW4IzZlASSMTtR1zWqzzft7zyQXcFz+kCDAnnW9j0Up5WmtQtvfW8+iFDZ3bMqqysEuW2hEsRbd65V87vLsv5aUEssSrbNAVx86ZsaY3DXyxGQyYG8hQRhHoQ6UlXxGJJQ1FIVFWyulhgtYFcWzZ9dTFTX39w9cnB1nGE5TZLnOhx99h9//vT+UeV6ZsCeDHkHG3ojE52jeyOHpAz5J1kWCruto6pKyFqdEayL90EvmXpQczyYyufNkQQye5cPDga2eMjt5GPLU2SR2IjqfGlVVcbxYYKw5iISl1LW4KE2WIgfsm5tbUozMZxMJ6F7mrcf8c6S9HxS/Ktb+I9Y3Iuj0w8DNzR27rufk+DgbZCm6fokbnSh3UTSTRt7cKIbdMmDO8NmLK45Pz9huRQzH6zvazZqilNneACpFmqagKi1WR16/+pJd74RAB3IzjaKPUiSePj3n7GxKcANoT1XVTGcVCz2hKoVOXpY14zhydHwiQ8e+Qj0PQdrfxhi6bmC7bTFGs+s6TvKhu3eGUwlMYUjZD+Xp40uu7re508Ehw9l3ukImzhmtMFrGixzPai5PFxBF09MPAz/56U84Pzvm5asraaA2FoKirCe03cj17R1KaeazKZ0WgV+XJ4kqEuM4ZNW8PmAcew2blHTZeygDtFoZrNaMwQtewF68GJGRiVnrlt6WIPnSY6zFZvxBKSlNUj6A6rrOQ+rk98kmbvuOnwQRf8Aa9na3e5uFkOfOa6PwzkHK5mNKy7jkmMluSMYVgyc4JczmqPOmymJJI9Mn6mnDkKUM89mUslR5EslX8SNN00wzJtIzm0wyfislX/IhW9wGYgaHvXeiGneeyXTB0EsGnnJ5KF2+SIwwjjvqsiamwGw2E4lDNwjPTIEhSMAPLmdNihgiAQnEQ4q01lKUZe4CmmwEJvjPXoistWI+m1DX4sldVg22MMQ0YEyiKIRPNgwb3Oj41fL3n13fiKATY2J5f884Drl8gW0/0nYDoIjBHSxKfbZ5tBpclA3w3vvvc7faEiJU1vDq5RtWD7dyIqJyJqAorOadJxccL2rqombbKu6iZ7XZsVgc0zRT1qsHlILRRYypSCkwbaZ0u5EQoSxK+mHk9PiUJ0+fUtc1SsmET+dl0F9SYvQVExR5LnhRCPHQBcXoJDPYd06MVngf2LY9bR/p+1G6BlrjfBCvYi0AtPceo8V68uTklOOjOcGNPLk8QyvJGIxWzGdT/txv/hrb3cinn37BdDLDjVCXNbd3S9p2Rzd6FtMprherU6U1LkSZCNoNmXujsYWV0S77scvZYM37QOsDZWEPs9LrumZ02zy3XMrCqpq8bXObtyzrRB6yGAK5YsAohS1rjBafI+c8KQa8S0ApbfmUpByNEZeB2JBlJOSNqTMJSLEPAByA5EQCXZDi26kdMSWaSoBk+beUrlVVE2PERYexFkUganBJMw4dp0czdO5KxZDeesmkyG27Zds7Li7OefHiJZNmgkoq+wzHHBjFU9qnROilhJ3O5rRtK1yiqqKqa2F9Kwk8EXXgMekgpfi0qjg9mtHUFW25oywMz55ccn5yTIiB6aRhvdnxy89f0I2e9WYjRD43SFDOpV5d1+y20kl13gvbTMHpyRF1XeUAL9nNOA6Hw2DPOpds9c8AkOy9I/mOqkg4PzA6x8m8gRC4vt1miwstAsMoG8ux1yyJo9rl5SOCcyRtKZsJaSmuagmwKeCSRavIph2ZTUpOz2Zoa1i1I1UzYRhHSYFNwdFiQYyeqzdr2t2WSdPjQ0QpC6dTiAVlPWcc5dS0RcnN7QN39w/0wygdlyCb4+joSHAILTX8eH3LMHScnR5lzGrEGE1VT1htR37x8edUTUNZWgZn8N4KIcwWbNutiAFzS/34aI73nsuzE05PFsRxyB2cgC1rGhTGOh49esymHQlOPHS1FpuOurSZl6Koioo3Vzfs+oGElDRNFuCKw59hDBEXY8ZLYp7znkgEogqUWga5pdWKmLtG2mhmsxnOuQNAK6BjyKd3BoCVlHBJCQYjY20So/PsMi41t0Xm2qQD+U8qrRxwcoa2xxgODOuU8j2UN4M2ucQTu5SYN5E3gm+oBCoGAgNjHkuklOAeqq4haNp2y2zScHR0xNB3DFYTgmY6qWQkrw/87Oe/5LMXV/z1v/ZXqZv6cA/t3Q72mZq1uSSMoi+DRIh5lpi13C+X4jzgBmbTKXVVEWNgGEZilO+hNOenJ2zWa04XU0II1IXhvXce4V2PVpppU/GwXKNaYRav3UrKqr6jKIXlHKtKnBqQa6Kip6lrHl1e0vedVB4kvBv58sVLvvPRh5ldnZs+RuggX7f+uUFHKfXvA38duE4p/Wb+2inwHwHvA58B/0ZK6UHJp/o/A/4asAP+Bymlf/wv8Bxoq4nRM5nWTFXNEALHR1OUMrSdZ73ZSkqKDD972ylJDH1/AGWTKiiqWm4sQlauK8TnVUZ8XN+u8dl7xxhhWgpoGSiUYbdraaqK3eDwWNqcITjv8F4+JJQWe8sQGZPMwqrqhnq+QGuLUlCXJdoYPvn459Iy1VBXtRDDktDxQQhdXdfz8tVrQnAczU7p+oHd4KnrhLLyMTV1jc1ixqqeyHuMgaePL4VXo4S0Z63ocN68ucKYgsX8iOubL7BGCHOjHzk7X6CSZbPZ4nwpbNyiJHU+OzDuW+Ji64rWFHnI3uhEcKq0RmXXwKIss9kUTOdz4Vdp+XpdC61BbDuQKQdpX4qqw6YPMQmIni1O9pspZn+jmBJojUCh8hqNsYfgtm/BEyU7kk66dFXKqsgUg5gnfFaEmISIl3GOfTZkMolTA9EPhHwNnA+kvsMWJU055fz0mJRCllwojLXZjkSu4TCMjM5xf7/i/PyEq+t7CYgk+k4OiGGQMTviQukYnZP2tRN8ZTqd87BeE5Nk63crYRwbhbCCU6SuSnxI+OBp2x3TqmIxnwhpchTC4554CYnoZVqcteKsWJaFeOt4mQxxf38n7oo+EFPinWePKK2GumLXjRhtGd3A2clpplZonj4643gxoalLmqbhb/2f/4M/dr//i2Q6/1vgfwF89VH+HeD/kVL6d5VS/07+9/8E+NeB7+b//yXgf5n//NoVY+Tlmzu0gpOTIwprCUlxv2zp+1E8dKw4r41OODDk0mSPLfS9KIqH7MsTk2iSChRVoXA+kSLcLlcYoO09kzx9EjJfxhqZeJlb4pPpDG0LqlJaobvtFlOUqNHJyamF1FcWFT/4wQ9yFymf2EFmVMQYuJnPmEymjEPHYjEnpSjYida8ubpm6HsWR8eUZcE0Rp5entH1Ys/57Pl73N7fQwjEWLBoJtRVxXQ2ZbPe8N33njCbNigiy/XmQH5sioKzkxMGF+m6nsWsRBvxHlJRcXsrSv0YhRJ/t1xTVg2TiYzm0Spls6w8vz2n1UVRooyjsIqyqvDZx7mZTEWyUFiOj09+hRdTVbV0p2IihayGTvHgRe0zD0fW25lPxlomMR6yIxlCJ2m/ZAYhg70qc3fkmou6P+Ws0JCiY+gHisJSFQU+JjHD9z47P4qjgYuaqrA5OMpjaSVztrQxlHUp4HPwzCY1p0czrNWMg2BfZVnQ7jq225amrqjqipPjBav1hsePz/niiy9IOTilJFIWYw2FkSyhsIq6mjCdzVlvWz794iXr3jOOIwrwYy/8shjFPTLzb/ZiXJKA+eloQV0VqCwijdkFUmuRUuwxuKIoKMvi0KhQWlMVecikFxxJkVgspqQ8Uluee5CZW0bRbltMWfOv/df/MkcLyby7rv/a/f7PDToppb+jlHr/n/ry3wD+1fz3/x3w/0KCzt8A/oMkR9h/qpQ6Vko9SSm9/vrngNFDWRQs1+LCF6NidKLKxvdYa9HaYiKHVHmvqK1KuXjCxUhopTk7v2D58MA4dGhTUBdvVc8oaR+vWxn5Mp3Uh5IlxihsVVtiq1rcAEMU0+8QWCwWWK3o+p4QZsTMC7HeZQwpHk7UlOTxnjw6JwWh6cfg2W7E91drQ7sb+NGPfsJv/Mavc3pyzOTRBVVpOD855otXN4J3AP04ipJcSaY37ETIN2nKPKIEhn7k5PSEopSPVRnDzcvXnJ4cEYOM0dnudlhbYLyckFZr3txKy3zVOmazKSZ71UitnmeP2RKbRzyfFFXmIJn8GRiZiloUTGczmfsUNYUGqznINpabDh1lhK60b0JmEmeldQwiHeFt2/ngp5QJgUobipQO19g7mXOVUiI4mVGmjD10buRwMAfCmth+RnwetRNjlEmeyh6yM3nvcnDJxgtEP6CUaLOEgRsZupZUlVgNqhCG/LbdSofIaM7OTwkxcH9/y89+OvLe8/MDjhVjFJO4uiIlIabe3zs22zYLYIVakTJQThL1v+t7yXoKmVPWaC04T4xopYVeYAwuRGblRLhc0VHXBW034rOroVJQlkI6jdnhca/8r6qa5Ec5dA4uhHvQPbJerzk6muOco64rdr1k7CqPK7q9vf/amPKfFdN59JVA8gZ4lP/+DPjyKz/3In/tnwk6Sqm/CfxNkFPSx0R0AeXFRxct87+9wA8yPFjJhdfGkrKF5mw+Z3F0nE/UApKwm+dJNrX3jsJaTFGKwRIqbypwQ59bsW+ZsgphvFprcc6z2e4OY2RCjNzd3XJ2fETwIVs/Cia13ayEZ5JEJBmyWbzOlPCIALLzxYy23Qnd3gohcjeM/JM//AmX5yf81/4rf4GiMMymtYDlLpthI1T40hqG3Qa/W/GD731EcJKmb9uW6Wz2dhIAiuubW7548SUXF+fE6DHa8PCwpZlOiCHSjyMhKHaDZzKd0bUdXT8ym81k41kr0yi1zPOSmt0wy0zdg+VFlFlX1pZEZXOOIT7LLikGH+SmVRLw9VfEmynFQwsXvZ/5lCDJpFEfI1aRSYnS/g3Z7jRmFnhKeT541o3tM6OksrBWCaQcY8Dn+y9lNvoegDbm7RgdGYQnPB4VIoVVWKVoSpkuMp/UxOBYb9Yc6wVFLZNC+75n0tQ0TUMIgadPHjOfL7i9X+epo48wOh2CtdHizvjxx5/w7Olj1pue1eYB22SPZS8z2W3OvgMlVS2v2SjZIyqKEdy+FFKANQuG0Qm/LQRsZmd7L9jo0fGxjNZ5WNFut1I+I2z0YRiY1hWuU0zrUgYGZLZxURhi3GKtZb3eoGJk9FuKqs4l4YhCMV/MvzZ4/OcGklNKSal/zvDiP/r3/j3g3wM4PbtMzXQuBul5qJ4pCuZH5pD2kXIkRjRTRVkwji4HmxLvQ57GSZYXFMLqpMZmnxP9FSxIXNpkVrPRil32njVGM5vORLgG+bR8a1jedR1uPqf0PqeqJs9MApX9SEIoRPCZZDiZUlAUwqVp6ppJZpqisgQjKcbdjs1K0fc7ZpOKsjDMJg2gaJqGNkSUMXKShYQfB6IfWcxEVT6ZTPKspP3oQcX5+YVgVd7zcL/EFpazswUnxyekpBhGz93DJpetgXoyYTabSwmVFdZ73OtgnJ9b0mOIjDFRZN9la6V7pTIbdfAjhRHuSxkiutAUWjFGKYt+hdf31ekB+fFV7obYnKGIIZ/FToQrE5N0oXwmdSrtcytfyiw3jtgUMk4kQUilvZ2nbFyxLgkHTxsfI0XK0zUz61fFCCFR1BXt6p66mXC8mGYioHTHirIgJnE0LMuC4AP3Dw+UZY3zHueE9/Dli9eEPAiv3XV45xmcY7Vu2e4c3W5DNzqU31DW4lPTZVcFNw6ZkiHXaxwHCUR7YD9zY6TMiiymNX0/yAA+kxngGfva++6U1tDlDF9F8nWSsvnd58+YTWvIc9+Sy7yclMmo3uPGkfuHJU+ev8s4jngf84jnP5nu1dW+bFJKPQGu89dfAu985eee56997dLGMD86yaCvTCosSzFWSupte5AMPKYUhR37K5obmWkeYiAlLTgy5MkGwqpdLpdAYjqZMJlO8iktH+S23YrPa11T1wGrhLUsI3U1oHPmFPHOMeAPRL1+GBlHzy8++VT8bXInLKrMTYmB7330PrNpxXq9oW1b5vM5pMRiVvOX/+LviPVqaanLkt1ux2xxzPHRnM9f3eQWviN0O0xqSGHg8cUxQy8m78uHe84vzrNznLzvvQXskydPuLq+ZjKdc/8gDn1d16FUQT9GiqphqqyM0C2rg35sPyVDmkAJMgt4r/WySrRgJh8I0Ts8GWdJiTQ6xtiJD3G/QxlL9KNQHrJXtNFvJQ3G7NXle8KfYT/x4xCgMmlJHVz1NOV0QsiDGfelw/7+iT4PMXTCsNXGHIiISsl9p0gHa5UqJZxKpCTEPp01diiZ/+6doz4CjaOqGsZxYLPbUlaWpm5omgrnPMvlip///JPMp5Jy7dHjJ3z5xUtQCWVEua+VZrlquVu2zI9a5nXF+ekpdw8PbLeb3FKXzpvziZhb2PsOpc5ynRDEP4ecXfb9gNJG5rOVJUVhGQbBPOuyZLXeyQz7rFIh5BFCmfvVlAUfvPOE9XrFZDKhsIXAD0nTdR0//vFPWa83zGZTum7goXW8+87z3FyRg/Hr1n/WoPN/Bf77wL+b//y/fOXr/7ZS6j9EAOTVPw/P2a+YIPrIMPQUZclms6XdbklEFosjqqri9vZWAMWy5PLi4kDG23MH9lMcAgGVtSbS0pWLO5/PDxtqzJ0C4EDiilEmRozjgHdiOG4LKeVSECc/bcQjZ0jx4NZnjMUWlqfvvi+TFgsrKbSRU/njn/5MTpai4O72Fuc9z54+paoKIYHVJVVd5zRYug0heE6OF3z26hrnAsPQMyllYsXJvKGqDFe31xRlyenJCefnp1RFwYAAo28V1ZaqrDg+OaLrW5QynByfsmodQ+wxBk5mx6Al69oPWpOMI+NTSglbNwmOEsK+fEqHkUDeCbdF+Dcpt8PzBErAJ4UKTja6krG7+1E+e0c8ow2JmG0r9IE9rPOoaZNPZR0l+z1YgmiN0aIBIs8jj0Ey3xA8dUwMQ59BYxk5rbQiOE/Ibfw9bygmmT+W8nMoLRYofT+wmJUUZWQYtjR1ibYWNw5sNxs5nIw5mJednp3x8sUL6rompsjN9RVHR0esVkt0TJgkB9l6vcOFxMNyTXGy4KMP3+fPz3+dq6srjK34g599ynKzYz8KaU9kJR+64p20HxkkZacE35Ee8YdOKWRpgqJuGny8xw0D/Z54mORxqqrCaMXFyYJ3331GWbzP3f2S+7tbiqqh73c4J949ZVkymU45Oj7hZ5++xIXE0Vy8gP5ZJ4FfXf8iLfP/AwIanyulXgD/UyTY/B+VUv8j4HPg38g//reQdvkvkJb5//CfG22Agzr4cKRlx7O6RhuVN4Pm/Pz8kHrvOxz7/+usPSGzYMmdkxACu6471PoxCsFuGIZDB8o5z/6U0HqvetZMJg2TSUOM6nDSuTEym0xwSU4fUkLHyNn5GSecETLYtvdO0QouThZUhQaVqOuS1EvmYI2Ud0pr+q7DFlYMxrM16aSpmE0aNm0nnRYtplMxlmx3HSGIiLWua7zzVHV16ET4EIWTo8QKI5H4/vd+wDA6vnx1g4uK+fExUUnAjjlAuxixUsvKtUU6ceMo0wX22ErMN3pViyXJerOm73Z5fpdoffbYCsDx8QkR+Zzmsxk3D/fCeD3ouIT8aLTwdPbqf7Fq0Ni9eZnWYqOZHfT2Jmcp5YF+SPAqrFzLGCLDKGBzGfOmdGJRq2JEKRmOZ605ZNIoRV0W1FUh8oFMNpxMS5QWA/bNRjFfnOKcYxMjMSmOFkfUdcnoGhaLGe3xQoI34q6oFZydnrJaP6CVytar4u0Tss3Fm9dveO/d38WPLcpU1FVJOUi3TwzV9r7TeX58EptbF4RYqHNmJRMiUv6cUgamDVWhqYqC1XrLcrmS7leuIlSKnMxOee/9d2m3G8ai4NXr13z+xUueP3/GOAxcXJxxcXJE01iqqmYMinefXnJzeyci7b296n+eoJNS+jf/mG/9a3/Ezybgf/zPe8w/ag3DwDAM4kw/jHlUsIKkGMeBbtdmx3vyzZEON6fWGl1W2MqgorBmh3HEOcfd7e1hvEx+jSLxhwOtft+p2QOwAnQmRqMYB1F7pxhyBhGYTyeYJKeJVgljA27o2XU7UYUnKcFQMlPpeDFjtbxnWs9Eq5IzLDJfpLBGmLf593Qpm2nalCL61IppI+n80bzBlorROXx03Nxc8+TygtE7SuqcOWhMSoSQSMowm82pyoqQElefv6aPlnJSMp1OWbcdcR9MonA5pJXschfFHdrfYjblGIY+O+tp1Nby6PKC7XqV3R/VIdB8dY7TarWimTTCBSKLKPO4XCkhxK0vaIUaczfEaGLk4IFTliVlWUoLfhTTK6M1VVXIKGlj84C5HDyQEmoymVDWDX4ccG7EG0MsS3xZyn0yyv1mtTyXRj7voY8YqyFG6rrEFOC9ZJCjH9is11TNnBA1o/P4GCltQVlI+ffo0SWvXr0Sp4OqgRS5uLjEGBj7jpi8TMJQlpOjKU+eXPD+e+8IEXMYaaaVKL3XrRjm7zNDow+tb8kQIRWl8Iwy/nh0cobrtgyjk2kXzlPXMzHAVzKm2nlhgvsQ0Cnhxp7zs2NKo3BRhiKuVjJV9e5uyXRaczQTx4ZJM5FmSzfK4EiluL1fcn17z65tv3avfyMYySEEVssHQghs4l6PQh40d4B+D6mlbBBREVtbcHp2Tj2diuF5bqd2u5Zd29LttpADicDQ0o7dbwidU/TAV2ny8nztZs1XnBcyMOy5v7/n4kzAWLJ/SN93+NFR15L2G6tyO11EiOv1mna74uz8EVUjm0/rvZYq5gNWi1F2xq1MUWCtaH/mswk3N1uaco4mYUrLfD7lnafP0UYzDCNNE7NlZ0FKwrqNETGPqmqubpesd+MhBd+0LXtd1TgMuCx2HJ0TjU4MjDkjFP2PzJQXPD9nkrHn7k5zdnbOzc2NMEP2I3V0HiaXg9AwjDgXqOv6gGntP3+Vsbuu2+FDOHS/VMaJXBQXgXa7FU5VnspaVhWNa7B2kPn1hRDejLUHNvIeG6rriqosBB/zDmfEb6Y0Yl8ac6Y7qUtU9JJZKUUgURZ7r5gSk9tpfd9SFBXNdAopsVqvOVocCaenKKlKOD+/4M3r1/iswH/x8pVkzwnmswnT2ZS+G1gcLei7HcZIl7NtW5QS1vmbuyVjthtJMaKjECffUjOyEHZvjRsiL1+94vH5KZtNy/On51RehuKVVZV9dkye2xVRBvAJoxKzaUPf95R1xepepuBWVck4dFxenFDVFd3Qc//5g9jV9iO2mtC2LT//+ce/4o39x61vRNCJIdBnSwWlFMlKNN5bUKaUDnOOykLAzdGNYnbuHFevX3Lx6AmTyfSAZex2Mlv88BzxbaCBt5ofc/BUSXmssUKpt8LNfSCSx8iP3Q9obblbrjEqcXpyRFkq+mHAFiYzYfOpmcl6VVUwnU5pmlpOxeBxXsvmztwUu/cGVpo80Zzj+ZTgRZi6mE2xWtNUDUdHU955/pw9q7UoK/aD47QWUlyMHKQKN3cPfPL5K8aY8CF7nyjNMHT0g9DbfTY2H4aBbv95ZBa4VhJ091ymvaZJwEwHquL45ITlanUYDgccMJdD6axk1vZiPmOz3TLm59ZKuibHx8fElBiHkW63wwcpfbXSB1wjeqHhp5jodoY2j1Oez48YhhGbyy4hv5VZxgAhyjDFsqwgZ0x93xHLgkkKFLZgubxn13UURqaKOjdSVyVVZUQ8aRQxyH1SVBrnO6CRSatdz9npKSlpjo6PGIeBuh45PT1jtd5yf3+P84HprOH87JSUO1nvPH/Cer1m1wmHSmvFd77zEU3T8MQrPvn0C7Zhb1ERUMiI7D1o7/cCYikAUNqwWm949uiCXddl3FOOXKNU1sHJtQg+kCLo3NV7WK5p6gI3OtarFQ/3t2zajkeXF1ycSznZjwNffPGl2NAoaBpHUxnms5ovXnyOy0z7P259I4IOZBA4p9r7GcoHd7hc33vvhfrt/MGPNyHtQPOVmVHG2kMJs3+cvWkWvCVnAcT41r83+b0/jdq/qDxC+C0w1tQNRhvGEPj5J59zdnKENpZhd8P5+SnBJ4ZRgsr+ueezCUqJlUAzmXB7t2TXSYsRyCCkpSgLvO8J0RFCQumRoixpN2vGYeDx5RnnpwuePX8uqa133N1ekzCcnQvxzOSxK1qpvf0tu8Hz6ctrxiRYT8qZ1Hq9PmBbwyhuhTEP/0v7DEFlhz0lA4ST0tm+9K0QhRgFAC8r9vPZ9y3vvdoa3p6A4zjgfEVdVXg3opWUcy5jbWJoNuH88oJd29Ju86zufear9UHNTS77+n6gLHvWmzVVUTCfC/Nb2umauqqo61oOHSX6IMF9BC8M44BWitmkZrNZs15t6PqRaV2wmDVYG0EJ9yqRmE8nUr4m8cKpqkbYvcYwDD11KV3AfhhQ6oj1ZovzgbIqgMi23XF5fs5mveTq6g3rzY7VpqVtW0JS1JOZUEF6n5she3doBPROMtV0T6BEyRiYsioojJby33uGQabkFjnrEyzRElLIXcSIwlBXtchsrKGsGmIYmc0aqlrRj4aYcpvfjyxmE549e5rhCcPrNzegNGenJ4x9/2dD8AlvSXT/dLARfoH0/7WWWU7OuUMrV8alFtk03OeuhqTnRkvavE/jfQgyluCrXBDe+oHIzfxPGRDlG/vtCxW7hFev3wgOYA2PH12ANqw2O17ePLDb9Zn/A00pc4O2u4Ft+xpbNrgQefnyjWAYMWKtxhjBJfrdjsG57AscqMqC46MjjhcTfvC9D1jMZtwtV9TNhEVVst2uub9fsnCnxJiwRma6a5NftzK8vrqlH0b2s8Yh0bYtXdfRti1D3wm/Aw5dKZEZxAPhbB+MYwpvW9cZyNxvCoXc3F3XyWeZg0/aB/X0drDgdrNlsVhIIMgn7ziKm4BPYl+yP3zOL84Zh55lFj7u7w+UHFaFsRwfLVivlqQQ6L2j77vcYREDt67rcM7JxItmSpFFlmVhOT87l+s+9IcypSgbNqsHTk4WTGtN10lWixVHvr4fJOhEBalHG0ttDS9ffMF8PqcqCow2HB0tqMqB9dERbbvF6DzJIY5sNtssf7EsV7+kKkv6wTG6FcX5uYDx3qMJwnrWUFeWurQ0TUNVVVSNOP6VhThTVnVFVcj3UZqPf/4xKMV6s2G33TI/PhcxbT6kkxLTkaPFnEmVLUtGhzVgDRwvFpSlo213vHzxinfeeSaHuhem8q4bubt74NnzZ+gsozg/P/7avf6NCDr77tX+ZtqfaLYoDt8LcChV9rWsUkqEiIXwKpwPlEqxmNSYy1NevrkRNq9SB2+Qr24gAJUihRYhaMo2jXvgUpFxn4zGbzZbxmHILW0Blu+Xaz7+9EuqomDXD6DNgequYmA+qfnDH/2crpcb2hYv6bodTdMwWcho5CJ3rYqi4M2bgWZSM/Q9fbvlaFby7rsfZS/ekaRlNPJkNuX29pYvX7zk5Fic7ITEJ1ohYyuUNqyXa15d3+fRxDKnfexHHh4ecmcmHASEe/0OSh34IHuPFSCXVtI19N4dgGAh2g0YrWmahq7rDqWo+krQ3pM8yYdI3/eiG0sS3MoScQYICaWh3axBKbqup64rjk9OsUZKZ+flPqjKkmbSsF6vRJMlQhiIgXEcGYb7Q8ZaliXeicdSXVWcnp5wfnJMVRbstntzLc3lowvub285evqYujSslrd0u5Hjo7lMKgkRtNi5GiuzyNrtRrKnsqTvR8pyyH7cwgU6OZ7RtnPaboexlkKXrDdrjo5mgDowyVOK7HYjZyi6bkBrxV/7q3+FonhrtG6tYEbG2pxZhkM2us/8tTa8ub7jxz/6KTHCNM93I5dX++TduURZKaIf0U2RWcwuUyhK/OjxWaeWUmLS1BglGjxQhLanLEuOFnOs1Vw+uqTv38Iaf9T6xgSdg+Ym36yQrRbTmOUGojs6pNhKJjgWZUlZ1fI1Eo/Ojnnn8Rm/9wc3VGXJ6empWKE6GY+hteLy/JSLs1NicBJYFDSNDBmbz6ZorTk5OZHJAlqAvfuHJf/R/+k/Fl3RuJ+z5Nn+f6n7s19b0zzPD/o8wzutee35zCciMnKqyq7Kqm46e6C7cctIgCVzZXMDGCH5Bi6QuMDiL/AVkq+QLHGBJSRAAskIkPEgMLbp7uqu7qqsyjEiMoYz7H32uOZ3egYufs9aJ1rqzDYuY0UuKRWRJ87ZZ++13vd5f8P3+/lut1SDEc4FojbUdcN2s6ap68OTNM8sRWaYjIa8ffuWGCLjcc/i/oHeOY6P57x8+Yy3r1/T1rXQ4qqSDz94wunZGVmeS6md5lBlVXH55g2//OQTjuYnHB8fMxgOMMbQp6A/lMF7+NVXb2SdemiGVDI0vs/S3tsb9J53E9PgPR0YsiaXG0KEav6wMpdVq3CHvXdkqjx8Pgd7ifp6W/A+bqdpGzksrTyZ+67D9QqtffI8kWZP0LUtXdtis4zBYIDN9q145P5hwT4CV9phqcRiOuDqusZay81ySVWWjEZjFLB4uEcHx8npMWVV0nUegqcaDGA+5fR4TtvUTCdD7u5uub27pypkW2YzsYKITaUmBs1ydc/Z2RMiSDJD0hjZXOBXT5484fPPf4VGJBl5lkv7IxIbbu4XNJ3YFeTPirDP2OyQ5xX2cxsjD769Jmk/niBZeA66JmMw1hJCT5EXRJQQOdMcsHdBzKmFhBOUZUlRFnJvKM1wNOZhccWubjkzRvLt1Z7/fIPWhrIseHf1lpcvn3N2esyvvlz8xvv9G3HoKK0YDAZImub7MnxQFtgsS/14QVGUiVTnuV9taV1AG+nJe+c4mU/41svHfPbJL3jy+ILxZMfzFx/wi09/xWYn+IvZfM5Hzx/z4skZMYgwKksGvb2LlqRUrgrhq1gNr169SheDZS+aC0EgUk3b0PWGalAd9EPeyUzJOzExDooh282GIrMMypztZgNKsd5sOTk5xvUdDw/35HnO06ePuLg4Zz6dEqOQFUMhopnMWi7fXfLJJ58wmx8zn82pBgOOj45Fi+R7ydpWsFguWW9q0bCEPXtGYFrHJ2fsNmvyopC5QPq+9yvu3ouHbG8klJtZrCAhenrX0zWNICSSjiZERVZUBJ+qyzR3CfzTXargUA2+96z9jjKFz2lj0VrW2iF48KJL2p+X+wprs17J/39ftybPXAKHqURu9E70MM4dEj/7rmW3CRS5pQ6Otsz56suvePT4kWwdtahuz8/OeHRxwm67YbfdUFYFxmRcXb7B2kxwojgZ1rtICC5JPDzG5Ox2DVUpIH7RmRl6Fzg6PmbxsEAryIqSyXTKZrOVZBJt2W62gvEIgtgoi4pOd+zh8lLdi1ETLf41cxhNiGVnH6e8V3gHnw6mVOnKQ1wMp8bAsKpwrmdQjcU8bQ0uhUKORkOqQYHJ8gNHPM8tdb1jtVqhtUQN933PdrtlNpvC/59sEP+lvo7nM/4H/73/rqxGeyG0NU2NNfaQ7T2dTdNqt+OP/vhPuV/XKAKubwFNVRh+73e/z5svP+XbH39I23tivOP66pIi04xOZuSZpe96JlVB8DJhDz7Qfs21HtL6+vb6HcPhgLIcUHvHm7dXgDzNpRp7L/Vum0aGqGnIao2WALsYyfOCKreSfrjdMJuMBSVpLbu6AaUYVCVXl+84P7/gww9fUBYFUSka5yUPKWiubu7J80xMnF99zunpOZPpnNvbG7LcEoKYIfNCgPGu6/jk869onBfrhnd0IWLTIHE4HB7yq+u6SVodBXvkahSAlrSyvSAV9vTGrqWtd+/1RiRjat+jjaXZ7eRrqPcVj0lUP5Bf8+nGUEq2MD4gyM1hhu17+rbBuS4diByEm8D7TVj075XMUR0qsb24lJjyxZBgxnq3xWihS25X9xR5yavdjuFohL2+FXpgWXI0G3N8NMUoGA0rMiuGyeOTE7LMsFg8sN00VFWWqkKV3OKRzWbJLGWjrzdbhoMBefG+NTo7OxOkZyr9rLGsl0ucDxwdHUmF3dRp5ijESAHLJ21aipaJIDHX8X0irLw3+WGckJcV2lh2dZsqykxmT7mhKwuyjWY6KMksRK+pyoLRaJhmEAqjNGVVESMYo2S80Itqf350LNvW3iXbiVSr1mYUefUb7/dvxKGjlULjCbGntKAtFONBMsoJA8T3LbbImYwrXj5/wsuXL+WpixwUn3/+BV989gnnJ1OO5lOubtf88Ie/x3w24f7+4aB+vb29oyyNbE203AgqrWP2H2AMgafPntO2wmDWRnNyckyWV1RlzsX5mQjO8hxrDV98+YrruwWuqymNZnZ2gg/Cseldz9F4yHhYomLA5AVWRz7+1gf88pPP+PhbH/LkyQWbzVoodG1NlpdYW7C4u2W5XLPZSjUwyA23N9ecnp0zHo8ZT6acn58nPIM/DMZ7F7m6fuBhtaNzHuc9rZdKx8WISu1hjcK0DU3b0nlRpLq9fSSEJNgT1SzEVDGlzK/BKKmOfTo45CnbdfIz/1PDd97P0PRezBkkVVOpQB8jzm3omoZqMGA0GlEUBd71KYZGDh+FOiidOQyvVUoPiQeJwn7eptSBCY8CcqMYDArKzNL3Ld61tF4dYF7TyYTVakVVmIMswxqDtRnHx8cslksyqxkMBly+fYtzkWpQydfyTuZlfctuu0kVuCHLrczYtGZYlbRdz3x+xGq1TBWTx/WO0WjEdrfj9PSEGGXTWRRCFQhGH97OvXFZ5psBq8yh0kknGd47bJ7ReXAx8PmXb0T3ZQxlkct7YTVlbnDxPYPq6PhIuoa+E9V2sofIEkfmXdfvbnj5wXOyNECqm5rMGtpW2MxlUTIeTX7j/f6NOHQikfv7e8ajIV0I2MDh6RZiIIS0BjQ95+fnzKcLIirhHDPuHx6IruN4ds7J0YT/7O/9I7Qp+OjDl/i+oW+3orpUivl0JJoGRM+g4PB0NEYdSva+7xNWMmJ0xo/+8PfkaSrHXBIZBrTRvHh6xgcvnmBMTuc8n3/xCtKGwHUdTx4/4t3VG87OL7i/v+fjj57z5u0bXr54ynw6JbiGly+esV5vGM7n9B5ev7ni7ZtLIrBer8isZjIqGE9GTCcTTs/OmM6OxD/T9bTpaeMDrHcdv/z8FU3X0/tA2zuJUU7boNYlFXDX0qYWSSwTmhjlfZqMhkRKRlXJaFCmi1YLoc55NpuNqHmdQ2w9ioBJ2ehIleL6ZIv4GrDeOYJSKOcIVuYURsmx4L1nt9vRtK3I//OCrCgpy4E4x50XFGjXpSSHeNhExhBlna/1wQgZU5VVVhVGa7LcYpRiVzcMy4K66/GuY+c9hZc46tFwwG6748svvuTJk0dMx9KWaa05Pj5mu5VMsxcvX3B5ecV6vaEsBfkao8f3jrvbW84vLtBa0bWdXAdAWU5khlKV9F1D7wKLxYKm6zAmUmQZd3e3nJ6cij6oEs5TdCHFV4siOsszWaTsKYxpwSJKcjlwJVamYzKZ0vcdmdF0XceoKuSza3sKq6g3PWBTVV+lTe77rWWWZZRlxWa7S7gXGUlsNjsWyx2j0Zi+a1mtN1LllBuW678gxOu/ipdWirPT4/SDSmncdT0+arLUsmitiCHS7LYCNd+XmTEyGpZ87zvfYlCVNK3jxcsPMMay266wRmDhoHCuY7ut2exatBJ273qzSduRnOlkglKiEwpBDrQQPVZrtrtdimtNKQVGzInBR85PT1Lpr1k3Mj8oykK4vWXGbDLi4T6X8t4k1bR3XJyfJVWvo2lrSJzgt5fv+OSXn5HnmsGwYjzMEmx9xGg0YjafUVUlu+0mHQIuDZEdbR/57PNXLNdb2hDxSdPU+ogKMjOzRB4WsmHIjOL88QWn8zGT0ZCz0xOyPDvgG/IsQ2tQ6DQPkNz0Lh04m+2O+3sJj9t1nst3NyzXBXXTHaJK2mYrsTL72cL+oPiaKdfanEA4yBa22x11XYvXylgGw6GYda1lNBpJdddLJeSd2DX2VYAizThIsCtjCL4jM4q63lGWJb0PdH2PUQoXJUrF9z2tUXJonJ5wf3dH8D2z2ZSMHIhMxmIl2G63ZDbnzZvX9F0jTLIQ2Wx2NE3HaDxiNjsCZLhdlpUwjaMkrA6GQ3bbmtVqlVIwYDYbEUMgzwzK5jws1odq02biyet6j4pBNnNdL+9B8he6rpO5SyfvfVFW+KZGqchqW8t8bDpkPKrY7Xa4rmNQFkQFJyfHDAclWiftmlHgAkWWcXo8F2+g0TwsFjRNx/XNPTbLubu7p+876rplODK8u747JLD8utc349DRwpkRGXdM4XKGtpXwMKVE3NV2HevtjmowoO89TZreA8xmY27vFtzeLfE+8OzpBU1dk2WWn//iM5z3vHzxnMvrez7/8g3j0ZDvfPtb/OyTX9F1HU8fnUmg2UF7IhWPQvK/yzLBvki9NlCVBU3dIPEloHVEE8mspiwsRhWMqglEx8nxCa9fv+bi4oyH+1tevnhBlywFOvmlcmt5WDzw2aef0DQ1xuZ4p8gLS5lXzI6OODqaMxqND/wU53oWiyVN0/LmzVteX93Sq5yIwWtN33twHR0a1ctaezqbMp+OePbkMd96+URgTUbTNC3WKnIjLacCjNnjQknviSf0DcMiJybh3OPzEwIa18vs5+5hzU9/8Rk/+eUX7IKnHAgUzDs5ALu2oe+7RP7rD2gKeYikrHetiEERtDCs2zQ/2iM+86Q2rgYjAHa7DX3bEdMBstcRKSJVmRFji4oiTzBas15vkgHVolD0bc+gypmOShSBTz/9hO9++yM22w1KKY7mM1AK17tDa+2958mTx9zc3vDwcIcximfPnvPlV1/RNDvaZkA1HNN2HWVZEZFFQNCa7a6mrCqWyyVlVRC8sL5vb284Oz3GhMjV1R1ffPUG77qDdMF5IT5KSJ5JLnIxjWoVqArNaDAghMhu12K1bG4zqwhBs3i4l5SSzKCVzH92u5pBVaaHiwKk7Y0J4FUkw7APDmty+t4xHA6ZTkb8anUv+pwyZ7PZUJQVz19+8Bvv92/EoQMkZ2rEh6R+VYY3l2948/YdZ6fHvHz+mH/yJz/Gh8jv/e53uby64t3tgsxYfuf730Zry/3DinXTS6ZP2xFDxWbXMDs5xznHYlVz+vgZ588+4NUXX1AMRvydv/t36Z3jk5/82WFTI71XTDiAZIcIQSJIlElbBACDT+vkkFbLWsHJ8ZwQBcw+HQ/4+c9/xma74/nTp1w8Ouf87ISqqpJvRtoZHaENntevvsLHDpNp7u/uaYcVz5+9YD4/4vj4mNFIbjJZ3bfcXt+y2dW8u77h8y9fc/2wwQfF7OgEm2V0iJ9rkiumJ6d89OIZFydTjJZIHhkidgnpGST8D8t70k3CsVp7qFKAxKRJ7BsFxIDGYa3hxeMjXjw55a/8we/y9//4J/z0l7+Sp5+1GJNh81zavJ0IE2MUnY/SGp8UxFmWHywU+1x4+W6EL9M2bdrOaMaTCaPhiFpt2Wx37POyjAYTHaNxxWa1S9B6S9222FyGqs559q68yaBkOBDse3AtX371Fefn5+RZwbt315ycHEvekxcz8vGJbKJOT8TC0tQbPvroI5bLB2LwbLdrysEozW4Cw8kYgpMDpyiFIOkDubFoHdlutlhr+PnPfk6WGVarLdo5urqmj5GHuqGuG0bjAdoI5L6tHUVRoHXE6MBsVtG7QAiKh4cNs+kcQs+u3jEajnC9k0ijKLO69bqmyKWFknRWlUiEIph1BMbjCT/4Sz+Q9zTL2W6kDTXG8O3vfJwWFYH7uwexYCx/S3Q6vUsitUQO7F0vGUDTGevtjs4Fnrz4UH6oTcvLb32Pl9/WfP7pp9LnZpHf/+Hv45UMte4uXxNiIC+HPDqZsVmtuL26ZDafoU3G7c21iCOUHA7j8ZjeObqew/xC9B5AjEnn01LkeYoEdmI6VOJVampBfebFgLbeUhSCJbi/u2U4qFAqcHp2zGa95NmTRzLbCDLsJGVg9c7JHKbrCESKQcHFxSMp05ViOByyZ/92fc/NzR1t13F7d8tXr15zc79iva0RTbxmMp1zejRjPpvwrQ+eMRmVTAYFxiSxZARt1UGXk2WWvuuSdyutPZVKh61KDnYl1afX2LSeRmm0YNAFCRsjKnpOphX/nX/hr/A3/vLv8Gc//xVfvXnHF68v0ybHkk0Liqpht1knL1WQ4SXixxN9Si7QKyXwcaWNYEMAkFX+8uGBGAKTyYiud/RtWgggq/ncZKgYGU4KAoZusWU4lOoryy2+7ZhNpxQ5KC3zvWpQMhpV1LsN7945To6PuL6+5uT0DGsNvpPfNxpLVPRsNueu7/mjf/hHaBMwmab3LW3bCEGw7xPZMpIXBV3fi+s+HeYgUHWF2ESWy10aHqdY35TSOZuOGI0H3D48pOpsRIiB7a5hNq4wxnK3WMjsaFACnu1uLd60YUkE+s7hI+zank3dMp7OyPM8qf/BKHvYzu7XAbFuWK1W9G4lwPzBFO8dTVNz/e6WbdPRtsJgHo9Hv/F+/0YcOgedsFLJ5ig4yg8//g7OB37yp39CVg54dnRGU++4ubqUm99mjMZjATKFSN87bC7c2KIo8NHSNh3RikI2ryqWi6WYK1VksViw63qi99zd3bHd5HjnaZqGzjkZTgZPWQ04Oz3mfrFkOh5RN+1h4j+fDbFG2D/DYYWxGcdmyvHxEcYotD6nqWu6rmUwGpNngpMWVbRsg7q2Z1fXEIVquNnk6MwwHY05O73AZgWr1QqfkJJd71guV2y3O65vb/jq1RuWu5bVtk7pDIrpaMj3v/stPv7wOeNBTpVbrJFNYAgBghJbSFCHeYSI8eQpvgdsgXivjDUQDaiYkjkkOSEkL5JG4dMDQ4Sb7139Z8cTfvDdl/zBDz7mP/77f8pPfvE5bedAa2xeMJ7ltLs1bdsclK97/5dSikxBNPtYmmSt+JpINADr9ZrhcMhoULHou7Q+lwGs8z2oSJYbtpuOoqpQBgZZjsky9KjkeD6h9w3zyZzhaCSI14cFr15fYk3Ok8ePeP7iOZdvL5nOpgzS9g4Us/mczWqFPjsjxEBTbyB51+p6k+aAiEcrl5SIvChxruf4+Jjr6+tk24lstzuM1iyXG3HiI4dblvhBo9GALNMcTeayCk8JskZblM5ousgwiVX3w2ObCeu67foD2CwrcrQODMqc87NjdJoJvvcpJk2QkuXB5btr7m5vEJxpyXg0khlkiNwvFnSdwPab5jcPkeEbcuj4EFitdvjgQWmsydm1LQUGlOIobQ2C0njnaV3g8vqWqOTUvt5sWSyXlFWJsQVtK6rgIstYrTeE1BJ576iKAmveG0WzzFIlB/igFD1FnsvNZIysI7PMktlM2qLBAEjcGy3aEK0F36APGor97SaH1qAapIQL3rcKSU0rYkPF0VHF28tLjo5mtK2Y/i7OHjOeznnx4gXb7ZYYPbu6ZblcslgsuH+45+3VGxarLVc3S5zzjEZD/tbf/Ot877vfprQwHJQYHRMuJJAZRR9Fdg8qqVble+qcHPyS0ZU2eUp+toPfCYFoGa1xIRASoB5k5hN9IKoUY5dEicaCChGrFf/i3/wD/vAHH/P/+I//EW+vH5IuKlANx9gsw/Xim9pXgs5J/pO2Nr3XiX9kzIEKsCf2rVZLTuYzyjyD4AjRMyhz+iitmKvTULayDMucJ4+e8OrVG2yh2DZbMqu5ub/h7fVbwY54MFrasVdvLglR8fjxBTc3d5yeGYZVeVBqD8djfPScnp7xcG/YbJcyjEVSTnoXqZsWa7ODXcMo0EYG5T44+t7Ru57e9VKBeUl33TUtw0qU3s576qYmohgOBwTnqImgIqv1Fh8K8v2Wblfjo2BMdrsVk+GICEwmY5bLBdPJCDsrODk+Is9smmeme2OfJhoi2sB4NGLxIJ9X09T0vdh1yqJMrnXpUnSZE13Pb3p9Iw6dtuv48c8+Fbdw26O0JA80bQNKk1v5YALQ9TIDicHz6PyUEGG12rDabBi5yPEs4/mjM4x9jDXCoXUhsFgs5clJpChLiEFc36V4cZyXHKbhcCigIy1vokmbhcxKLlbc53PHmALakm7ia3OHw5wDUfHGKIyau7sFWV6A0njXJW1QPGhsrLG8u3mHj3Bx9hilM+bzmeRxh0BTS6bSarPm5vaOX/3qC9quY7HaoZTm42+95MMPX/Kdj15wOqswOimBDzEuCNpyr5r2DqImRIPWAefAHyJ+ZLYRAyn/KhU++6/jPDZTB82Ij0EUst4TokbtKyf5i8QmESLGas5PZvyr/9Lf4pefv+E/+Yc/ZbHayLDUZlR5ibaWZrtNmylHd1Aaa9iLCrUkSuw9RAroEpg/zzO6NjBJ25h+2zAbT7i9vWU8GzCZTFkvN/zil79Ea1lCyHslEo08s2x3O7KsoBxm2Cxnt6t5+/aSumn48OVzHu4fcOMhk8lY0KsajuYnrO1KtpeLkrZrODk+ZrXZSjCj66l3W6yRhYU45WEwlPZrtxM/WlUV4iVMQtk8t7gggP/1ck2WWeazI5q6oWlaylIU+9YaNtsNVYoh1tqyqVtMDFSTQUoGlcXAdDJO6asC9N/bU2JMrasy6ffKe19VuWikvIDXu94z0haVK8bjEYvF6rDU+QuTA/+reHVdz49/+ktJd9CasiwYj0YcTSd89+MP2O12vHz+lKZt+PKrNzRNy83dHQ93t3z7O9/mycUpf/bTX6CAh9WWoDQfPL1gNhmhlehEjucj6rphsVzhvSfPZQVqtOZoNqFuRDfR9z1nZ6fp0BAPz/7p6hNHZh9nHJEKQqiDpA2WQaUIFnlKhAMKtGkFm9m2gsD0TmKPm7bHWk30gfV6xdMnz7BZhg+Rh/sHWas7x2LxwHK55Obhni+/ek3de27vNyil+es/+iGPH13wnY9eUhaGzO75M/rgQYqHH0kqsQgCOddyYGovF/Z+cyWO/YMqDRCXuesTWjZ54YyNCXamDmFwEs4pP5McyEmIicDcR4OK3/+dj/nwxTP+6E9+xh//+Oe0XU8AbFYwnld0bc12vTwMzZXWmGDQSjY3GiSGRSmi1ilaLtlacmkBJffM4qmYHR0zno64vbml2fV0bcv52RS5R3p652m7wKCqyMsc1/cYZbGZYTiUlfXt/RXR95xfPEYpjfeR+dGMvpeKbzY/4j5GRpNI5SoeHhas1xuKqsL7mLQuHVVV0cZOYoXmc3abFavlAmU0zgWMNTSNHFZ5keGiZ1hUjEZD1ps1fdcyGo3kIREklyriGZQlq9UGbeR7Wy03lGUpmffe87BYomLg9GSOsZrRaIwxmTxkvkYD8IFkm5AZXZGLWHG3Ezh82zaEKFEzs+nkoFZX6bP5Ta9vxKFjjeLx+Zx3t8KZaZuGvhdA14fPn/D28i0az2w64uXzR3z16i1Ga3Z1Izc6AZMiQZpkmOybmt//wXcZDgp0olW4zDIoS1yIYlPwLrGEEVyo0lSlZBbFJOGX2I0+JUqkyBJjhOLG/oZKN3EU785gUJHZPM1IhGuyWKz+KbVslmWovOTmVnQOmVV41/L82UuyLOPi0ROssRLXEjzr9Yrb2zuapub23VXCMMDRfM7pyQlnx3O+/fIxg/K9W1lgW6I7IqmG0e8TMJTaHypJjbx3+keRCaiw319FSBqYPRXQGkE8RKXItMangzVPAX4+yg3mXYJp9TKcl0GzMIV9hPEg57/5N3+fl0/P+Pv/5Od89eZaxJpKUw3HAnbfrKSdTWkOyu7Xuupg2diXPCGIZCG3Oa5rUNaQFYa7d3c8ff4c55UYS7ueo+Mxg6qE2KWby2CVrOiDh8xmEvmDIkSJ2Clyg/MdX375OVVVcnV1CbxkOpsh7vnAaDRO7bem68W+Er1jMp0nSJscjnmRo1RB19QURSV559FjrGE+m8kCo+vp6x6TWerQYLSh7xxaGaCmbnakwFvaTuBrEY2K0NYdSkXKsqBtdoQQGQ7KpL0yUjmiDpHOUhWLqZiIYC/2VbxSzKYTMiOokqrI8WnEcHZ2wmBYUhU51mR0bp8u9mvu9/9ST4//wq/IZGyw+Zz7+5rlciVK0Y3j6uotv/PdjxkOB9zd3mCzjLPzE26ub5jP54xHAz771Rc0bY+OkmeU5Tm3D0tevb7k5YvHuK6RYW7vaOpWetwUYg+w3doEjxKmS73binpVS/RqiJEiF6JblhVy8ZVVWhkLYF0eCCGJCq20FcpQ73ZCGrQZs6Sv2e1Eg/PlV2/4/MtXzCYDBqUmhJ5RykLPrIHoUUazXm+5eneL84Evv3rN7e09nQuMJzO+/e2POT895sWzR1ij00xe2iKi0BD3a2eZY6XhcPICeecOyZZlcrJLuFuAr5XXGGkn5YuQ2ihZu/YJNSIvRVBJKZyqI5HTh8SeCYS4jwoCZTTew8snZ7x89ph/9Gef8p/8gz+l6SWPvBpNQCmpeA4bP8GMBu8PPGvS/CEEz2BQkpnActVQmILYO4aDIV3ruFsscMFgdGRQlmx3NdNxQW5zykKxWtf0nU/DVznE8kzTNy1N4ynyHGMNg1Lx1etPOTt9zNW7dxhjZMaShKMnp2dcX11xdHTE/d0NPnj6rqUsB2hjqMqSspI2//62J3jDyfGRbDJDYLuTDaj3HqsS4qV3qEwxqCrxbG23DAaltNiLBWWZcXJ0nEiSOdusZjQasdtuD1YL8foVoMDanPFkTMRwf7/g6PgIVDgED3ofsEbiZ5T3vHj5AXW9Y7fdMRqPUIhpVFTg6v090v8WHDqZzbg4nXN9u+Smbzg9nrPebCjzjBAcVWFwfct6vcY7x9Nnz7i4OOHi4gkozWbXklUjNk2HNZbOBUBzffvAfDoGHF29YbdrCEj6w2SaSxBZiGgt842j42OGlSBFx+PhwcK/Nw3ufUbeO7xP2zbn2MsIldIYo9IANBDxdC4kd3oUx3mE3a7mZz//jIflku12R9ssOTuZ8Pz5S/rOsd02XJyfHmBJN9fvcK7j6vINdbMjzzOePjvnxYuPePTolPl0TFXu20VLiD4pdmXgapNLHCPQ8aCkytEKtm1LSIZCQVnIYSPeJhnyZ9Yk8J8I8wwKRzxwdmNqrWQAqVDaCjpDaZQ+eE7SVsseBJFeejB8SCmcOvJX/9JHvHh6wb/77/+n3N0vABhM5pIqubg/eLyymKfZg3w28t0pXN/x9OkL1otbYMJ206DQTKaSeuk6sWeMx0O6tj0oydu+oVAFuRUAfN22BPbI3FxCCG3g5uaak9MZSoPVkZu7t5yePGK326CUuLK7zpHnWXowwcnJOfcPt+L3G4ypdw3D4UhMlcZSDUaEECmrAX3XsVgucV2HsULLnM3nbLYbMp1RlEJVsFnGYDSQNFEXUCoyKIV/bPYVoZGUjLIoWK7XDAeVkA0T90kl/MdqtUw2jpAG6D4tAN7nuud5jjY6QeXGko7q+hQ0GSmSqdUYQ/nP4SR/Iw6dGCNlNiC3G549ntN2kUePn+Eaz/nZqWg6TMZHH31M37dstjvOzy/YbmvevrujDxCUSaAjyaUqSxlIGpthUOiyou06VFSURZVaIUndtEaTDQdoBUWRpVgV8bM432GtcGq864UTnERxRZ6TWXW4+LuuY7VaHVIOdVLTNq0wlXe1yMdfv35Dm3K3tY4o5RkNhwTnefnBRzwslslrIzHGTdeyWi9ZLO7pe8fJ6QlPnzzl/HTGZDQAOMwUlAoH9e+eJyEBrDGBnv5pp7bSRoaGKKxRkicepSIyKHoVcD6xjUL62iFS15KS0TYJ3J6qkN6HlNRqDsFrEVkKPLk4xSiZjah9W2SkxA9KNlyayMXRkH/1X/o7/Mf/4Mf85Befo2KkHMhTevVwl2Y8YsYNITs4rLU27HY7rDEUeQ4xUu92jMczqqpitbpmVBUYk/Pk4gStIyE6rNVsd4FtvSMmnEMMGdttm66DwHZXMxqMKKuCza4hes9sNsAay2bzwLAaSIR1ZhmPpzwslkynE5qmYLV6oKoq1usNLmE21uuVRAd5QdXmRUXXdxyfnFMNxujUpi9X8vuePHmKcz3j0QilJKmhLEuUksSSsijQRssDTiucEyBdjFGqbPOeyVOUgzSzk3nk2fkpINajGAJlVRBDlOTSPSwvvazNyGxG09RkRZnsN52A3pSi7QOr5eI33u/fiEPHec9Xr67pnMjou66nq1uCC1xd3XB3v8JmmaztFvd89MEL8rLkT3/6Y6IR5o7SVp6CUTKjuq5n6ToeHhZMxyVd24mBM0pGt0Jh8iLFoYqup21aHuIDq/UqRayY9wkDCXAVQsAYxXAwSABwqQbkaW+YTqdoLSUnSqb89/cPXF9fk2U5tzfXxNiTmcBmu6VpWj58+YTT03NAcXJykkh9iu1uy93dPW3T8O7yUphBJ8ccn5xDjFxdvUt/nyZEqbqEyCp2A5fCACVYsEvDay8I17Qa7zuHzSQPXCtN53oe1pIGaW1G4xwEGTt3nUDS93Aom2Xk1VS4LylWWFtLVIY9zN1qRecjw77Gh14gYUqhYwD13iMVg0fSLw0hBiYDy+9++yVaG37+ya9wPjAcTdBKs7y/pdv7e2pSBlaOsXIz/uRnv+CHf+n7NLsteVnK53p/z3BQEKPj7HjOfDYixkDT1jjfMx2PxI2fEjG0iQyHJbnN6H1H3TZsmzWjUcVyvRVWcpRqrm233NxecX7xhPuHJYPhSAIdeyeWjbxgPJ6ilSUvJIK6LEvqA+hLkxUlNivY7baMJ9nhoZYXRcKC6FTFaHzfMRwId9samywRln0KSZZlZIVUt6vVlps3bzmaT5lMp4fYaWNlLulCIDPids+yTCD7JOtDMtLazKTq3ZFnGXXTiHViIFsyH8Aacebvdrv0ePv1r2/GoeMirTcCr+57Qgz0/ZZhVZLnhs7DcrdjtamZjAf44BgOBxRlRe1gV7dA837+gGQnZTpyeX3DsHokVY8W3U3fyzyibzvapqWsKrreMxiWPH36VFABSqdVYlLd7AejwSdFrFQPPqgU6arJctEsSEplTiTiagGNb9YbHha3+NgTjQdtsG3ByVHBxcUF1uasVysu374Rb5kLvH1zSQiey+u3RBU4Pj7h4tEzrq9vubt15HlOWUo88v5g6dpW4nD8/gklOpYiXbwxfi32OAQeP37My+dPsdbggvCfXUR0RBEKpSQHSosWJi0ziKIopE1zGr9fy2uJD4oxoryjUYbWQaUMdDu6rpPMdaWwxsociohDKgqlk79Kaz7/7BMenV6g9Lf45aef0wfIhxOmKBb314c5kk/8bJNlhBB5d7vgxz/9hLPjOcdHc7SSZFNjFFVhePn8GUWRobRgHba7NV3fJojXjl2K4NVK4bxcjyjE/GsMRZ6JhEJpVJQBbFNvuLu55uTknLdvL5nPj5PNYE1VDZKPLSNLgHhQ1LsanSXCIeCTqHU4GlJVFV3bUzeSTOqcw2rNZr1lNpuIhysl0obo0SZLCFmbSAiRoijJi0BZDSmKkjo55LOUq+Z9T1nkiWSwZjgaUhYFCkVm7SECyjknGW/GUtcNznnG47EsbhKz3Lleqn3nqKrBb7zfvxGHjtKKYjxjlguJf7vZ0PSO6VRk4nUfZBtiMgKGpg0oZSgyS902ByqchJoVaCMns44BdEY5mOD7htg1FGVJiA0xanzXJ0FiTFVASLlJ+yFzTArgPgn5ZPvSOhnqOSdPa+f8wVmrtU7DUmiajvVmzd3dLXW9JssVGgM97DYNm/WWsw+eMaiGzGYzjo6OGFQCQFouV/R9x7vbK6m8HDx+fIoPisFoKnR/pUQikOwUYphVuGiSVSNwe3fPq6vrNAC1ByOrcIQ0Xuc8+fi7uAhtUPggw2WrUwXCHrmuRBwLWA2dC2QmQgiH9apShuAkF3v/3pB8aQLX77B2TJlnRDis42XLluZBSNyMNprZbMJ6ueT733rJcrnk6m5JCIFiMiZGz2pxf2j5JFpYVrV9gKube1arNe9u7inyjOGgxGL48PFzdnUjq2OlGAwqTk8f413PYnmfYpBk0L3ddVTFAB96UDLA3qxrAoKhda4nM5YsVc5Nu2KxMJycPmK9WjGZjiXRNQZsUTGdidoZ4O72FsF5xKRM3+dWRUxWEKNQJWOEN5fvOJrNWK7WHB3NefT4Mbc3t6AUvQ+EAJmSdbWP/SERFyCzmo8+fE7btMQYKAqZwaxWa9q2RWsx+oIiBthsJNTSeScZ5krRdp0MjE2kaRqUNvTOU9c1eS6bMOflMyRCvfstQFtIYoDGFhUTYymqoaz+TEYTNC6tfOumY7fZMqok4ynPc4zp6LyTLCNk1WsQFWiMkV3dSOJClmGMtAxmaPEhUhSeoihRSgRlRVGyXC4JQVbd1gpnJEYhtvXOE5KWxqW4Wq1kjuC9ZzqdJqSFJjjP9fU7drsNN3dXFKWV6igID9pqQ1lkPHn8BGutaEPynBA8dd1yfXNN09YsV0tZyevI28tbgs6xNqMsEyA7zw5ixX1ErIQAZrL2z9PcICi8VwkTosX2EIXV07c1UVn6KPYTq9INsEecKoMOYFVqX+N+LpQOppjYNTHiSXOkpG1SaZsmN/Kea5wOySCVInBQPOsQkjoqMhuP8G7DZnnP3/7RD/n3/qP/hHUrB9NkfoTrO9p6l/RTqa3U4gnrnae1Gc1iDTGgoqfILdfXN/IeBfEfWaMYDwd866MPePHiKUpp1psFTdegTSTiiATKrGBbN3gfqaqcYZXTOcn8ci5C1ORZxnpzT1YUHE9P2KbqQawHXv4+m8uf8V4epApcL/O3PC+SIzyTzKyq4vr65jAzazvZNC6Xa+qmIc8yHhYL4dgUGX3nCEHCDG1madsthMBu41gs1+R5mVIxRP1clAV13dB1gjjdbDZi3VEJ9xq69HB1dFYWAEISiIzHY0ajAV0vkUWL5SrB4nOWvw0zHVG4OmTfC3lRYHNZFypt6EN/0I70iVBm0orO9T1FOUgrQMOubgjBHmJlOq346u07Lo4nGM2h7fDOySAtZTvtB2FN3Qjw3VoZ7qbBcd3UWJuT5QXz4xP6ruf+4YHRaMJmW2Pzkrwo2G4bZtMxr16/ZrercX0jGwclTYTNZI7UNA1PHj9iMKjI84I3r1/z8Xe+jXOKxVK0Km8u30KEPCtog8aTgc4IytD0TjKwD25vUn6WOSij8ZKWYFJGuNaaLIUBuqS3Wa3WNHWDLYeiwNYQguQZdUFhkIPDajkg5OeIZEaGhkaJcruPCo/gFQgeH/Veg5jmaKIM985Re5fmUDIb0ko2gftksuAdRCUbJwcvnj2irEr+xb/9I/6v//7/m6gtKM3J2Tm31+9oG4mXIYLNC/reJeCYxCQHOTmpbE4bQ6rfhIfkvKJb16z+9M/YNTs+/uADetfRO2HNOC8tZV6KStgai7UCs8+CRqlM4GcgFoY+sFrcUOYFlZqQd/1BRiEiUqmcgZRnLoyhLFEonet59eqVAOTHI1zfM02m0qrMJRwwOHa7HXmW0zQNZakObWoEXPD0tazoi1z8hJPJhL1BNkbJixfdliYvxNvXtTXGWtqmYTgc4n0gz3N65xkMRzL7LCVBNS9yyrIiy+TAvH9YslpvuDg/PxA4f93rm3HokJ6aMaS1s2b18ECIMBwMRMDnvaRi+oDJcplfdI1As5WhGgyTUAyhqhnRpmSZMEgm4ynONSkH2vLwsGQ0KBL5rTgMcFUSBYrLNhKdp2m79MYXKRWx5+rqHXme8+byivuHJaPRkIeHBUYLGuDy8opBldN0OylfFVSFZr1eobVhMCp58eIZRZ7zB3/wQ25ubgDFbrvl9uaG5XLBdrORNqYYEk2Ji1CkvCJR/3LYTElpu4fKh2RB8IK8zPMknhPkwfv3G9qkS5qVFX3USWkt/82qSEBjYsChiaEXbQ8aokbreBiio0Cli83o99XQPtgwBk+ensAgwXAaWV5FlADPAI1ksJu0gQreyTama3hycczf+Cu/x3/2j36MziqyPOf84hGXb17Jzdb30HcYa8gyeWhpLQPWqizQVnjMMUYwlr1a2weBlv/il19yfnrBcDBmtV5gtWVbr8ms2BD2K+Gm7RgPNW2XkkvSTKbrHYWt0ATu79/xuBqyWC6ZTKfYzB6wskThQa/WG/ouqZO7jrpuqOsdXdvhkwetaXYMBvsHgjqo3/O8xBjNbDZHaSPUAyvCzM1mK2EGgzG77RYfAqORzPSW9wu6vqOshqy3G7q6oaoqqqpgOKzIs5zNZi1b12aL6yUEseta2kbSOD744CXGZrKMsZau61isVtzfPXB/f8/X+eH/rNc34tCJQO+9DOWQPLx3V5c0bcv5+QWDwUAEaDFQVgOq4ZCmbTk7PeGTz98A0hPHKINIGZQlH5TWdJ3AslzXkeUlpszJsgKblczmBZvNirpuGY+ztHKP3N7eHlqX6+trhoMhfedp24bNZkUIEWszVuutuNK7jqt37zg9PqLrelzX4rLIbrelyMXdXhVzjo5KNtuG4aCiqgasN1tuUpRHCJ7b2xu6ruH65oqmcfTRoDPLtm2oqoGs/dNwV+ZMYlrViJpUTHrh4JPyqeVqu160FT4cDJLydFa8e3fLeJ7SJBLCNcZ99IwnqoiOkTYoXFAyK+6dtFToA/xfAktTi5XmRpCyoayhMkNI3jWfvF8xGU+96+XAR57XMR0IfVrV73lL3//ut7i5u+fLqwfKsuAH3/uYn1U5X375Soh5TjCzzgUJtvM9mTUUuaBYldlXVHK4SixRMgSHyJvXb/n93/sed/fX7Jotfd9T5gW9k9TVq+sHpuMhbSeb1lwbsS54T2aylL/mwNVsNxuMKTB6Hx8duL+/YzKekKWsqLv7O7a7DTFA29RsNmu0iiyXW6qyYrO6ZfFwhYqQZQXPXn5E6CPvbm6ZjCeMhgO6umG1XjOfzRgMhyjg9evXzOZzYoxcXr7l6ZNnTCZj2rbhF598hs0L4U41Dd/97ncByb1/eLinqXfkRcFoNEBrK5E/ViQp+5iazXbHQ71OerBO2rWqlMot/haIA/faD5XMhKvF/SEl8u72hm48oRwM8D7Qdw3/+E9+zB/+4Ds8evSI0egzTJbjg0S99F1/OBDk5jGsNhsp/1b33N8/0HQSxHZydMz8aC6ZUk4YvJ9/8YbPPvuU5XLNj/7aj6jKnJPjOX0aMmutsFajteGzT38leAZreLi/YzIasl6vuLq65OnjC3xsGVYVIQZsbum9o99EMpvx7NkLVqstr1+/5lsffZh8LTWr9ZrVdoWyOtkxMrZNh84KnI/46JPHSywAkgQqWhMA3wqaQmYnMpvKrGW7q8UKEfcy/HTze8fl5SUfffwRmc1Bg0/tSB+kAglANDnaN+w1/FElJXDaZum9ChlxTu+B7mL7ivioZLNFmimh0PE9/mIPlkrSIklBSKka2mgiEd93uBD5y3/we3z1f/sP8V6woS+ePOLN6zcHPUmIQbKltLQ9RZGLMTe3EAKZDvTKgEtJqAH5J5HFcglKyQ22Wx1CCr33PDzUBB8FAxrj+5TMKDKCrMiom5amEwV03zvKcih1aFpR9b0ThIcPrNdLfO/ksFkt2Wy3+BgZVAXb7Zaurckzy2a3lBV/CCksQGKZfvazn6UwP6kWj46OiSGw2Wx59eo1d/d3aX4Ho/EQH2RFPhxUSa4QyMfDJCyVFn02n6PnM7TRSfi3j7LRFEVO2wrC4ic//Tlvr9J8LEayFLWzDyz8Ta9vxKHjnGP1cMdkIo7qu/s7vh5Bu1otqZua0Vgk8dpYinLAYFDy6PyYm8WWiKXt9vnl8sRUaVajULRdz+tXr7lfLFBK88GHH/HBi5cpa1rz7uaGf/jH/5jb2xuc7wAlZLeuYTIZ07Ud67Xk+vR9R9/1bHc7BsOK0XDI/a1kKWkVUJTMj6ZcvnvF7d2C0XDAaFRItaEN89kRg7Livl7xO7/7O2QpMfTdu3fs6h33i3tCjAyGI/pYsNx15EZwkcZaVAwon57VEZwD2khmzOGmDemN0IjYbbXZpoGv2csED8yc5WIpkbPj8aFawQcMChVS2rXv6FIInA9BImucAN9DjBigcyk/ywnwvGtTVaY1u0wze36W6p+0CVTytaTiSFaKKD+XDhLo50LE+YghEFOC6WhQ8t/4G3+FP/qTn7HbNXz80Uu++50lf/Knf35wQuuiACJZlpMVVs67IJE1XltU1PtY02TriEQlcHdROUPdODKb42NAK0vbi5I5zzQg6aYuBqw2EAyrdU1dNwzHQ6bzY7TOBBYWwgFnoY3l9vZOVsxR8cmnvyQGJwiOvme7q5lNnrKOkbIo2WxWZCajKgfsdg1Ez3gsaa8nJ8eiiwlRuNG+p2kDu51cp13X4p34o7764gsGwyFXV5epopSc877vefXVV1w8eizeucyKVirszc4qbcIS/D5Guraj3u0kNUMplJb3QKmADztc81uAtvDOsXx4YDgcsdmsxSynJBjMKDk8urZh6T2j8YTeG1brNZt1xZOLc67vP6N1bUJwlmgj61P5pzwlN9sNTVtzejLnd77/fZ48eUrXO7744kveXl7y7t2VmDk1opZVsFw+8O2PvyVbMpvT39+jgOFwRGtqzs5koJxnFptnLJZrjo9mlEWW+Cg9xorgLmrZLpTDgtl0jrGG73/vO7LC9z273ZbVcsFutyY4z2rdEMjog7QawafcJ+/kSZ62Q8SAMkYUwT5gjeiGVJCNko+RzBqGg4re9VgtLGdxiHuMsvi+5fbqUgauSsuA2vXsukDXiQ5DhIeOQVWS5QVlnlFVJSHKr2sF49xSlAXDcphmN2ILiSk1I3phGMuDQOwY1ohqe2+t2Pt+tFJIGEdSQRMOlVHwHU8fX/DZF6/oo+bu7o6T4yMGwwH1PnMrkvxkVlTWQYbZUu2l+kocEMi6WA68+WyK61qpNpGqzyXUx2wywVqN9z3WqGQlsUmZ3bNcrDk6mTOfHzMZz8lsJv6pVIUXRc5yscSldvHq6pLVYoEPnurimOl0SFHk9H3H+empkAZcR55rXC/CvMwY1ssFD/e3YjoO8hktHhr5vUXB/d0deSGpndF7bGawmYD1R1XBZDwCZVJctqKqZJbTu8B4MhFmTluTBpyiETJSNXrv0GmVrlQgEqSvziJEhQokQ+6vf/1zDx2l1DPg3wHO5ZPi344x/ltKqSPg/wC8BL4A/pUY44OSGvffAv7bwA7412KM//g3/yXSYjVNw3b7XncSgoLo5WYLgmzcsGI8GqfoFTGxNW2NNgX7dMf9NqfM8+SdkaiPv/7X/hoXF+d0naNLJ/yf/PjHKBWwJjIsC9lQpTSHMrf0XUvb1KxXG4n4zWTAfJNmOWU5YLutcU7sDlfvrviD3/8Bl1dvZP2ZWWyW83C7pOsdj84vGA6GFFlaxwOuh+VqQ4iRzWZDVIjASpXcLNbkxSBBs6VyMRq0Sq0LMsvJtQxliyJP0DHx51gr856nF8cURcF4OJAY2bJIOgz5GlpJVEtelhgCNs8BiClcUNAFYmjNM4mgzfM80ela8kzEdvtED7FjpMPGSBuz2fZoK8iOA/iLdABqfcCQBpA2yAoOQyefkEq/RynhAf/oD3/A3/vjH4OC58+f88lnX/D69Rus2UPKJckiBoe2Bt926CwHK6I+gJi8czrAYDDggw+ec/dww2K5whiViIkcUkcH5QAfu9RaisG22fVcv1uQ5wVKwfHJKSjLZDpFKei77hC+13aO0WjI2zdfcXf7jhADx8czgcVvtmidETH4oIhO3PiLxY7JZMJ4MqZpWrQ2TMcjCcJDjK7WaLIiJ/jA0yeP2Efx7O+lmDyHRbomun0cMdC3DbvdhjwX9baxhuAiTktrvr9Ju04sQSTxpooKowJoSTc5tMb+L769csD/PMb4j5VSY+CPlVL/AfCvAf9RjPHfVEr9G8C/AfwvgP8W8HH6318F/tfpn7/+zFGa0WQqFvveUQ1HYkNQEonafz0AznmZxk+moDSD4YDQd6AsIcqb4b2nGI8w1tD1cvqP5xNOzx8Dka5rebh/IM8y/vbf/BvkmaGqcrwPTMYSNF9W0ovvEz0fHh7wvifPNMPhkLu7O1xqJ5bLFdZoTo5mDIcDSUkkMBoN2O5qXO+ZzsZEHzg/PScEz3x+zp5J44Nntd4comhn0zlZVtD2kadPHlGUA/K8YDSssEaA4JmR+Yz3gehdWg8rrLWyJtcqoRPk/Y1B2gFhO5vDBae0bJFkABjJC816taHK04djRCMUjeRv73PNg49E53BR07tAVOL5iV5wokocnEQfklDTUTctw+F7QNpBv5MeFDFlf5MEc9bY9HtUAqqJolpFCK5nMCg5O5ozGI/JMsO3v/UBN7d3gpjNDBpHcF5Ikc7ho4G0sDBWDgyFwqIocsMf/vB3ya3ianFPnhUoLe1T7wPbXctsMpEWwvvD9q3rA6/f3qKVZToccvHoCcZayqLCGk3btlhrxJazXDKbzlFKMZ5O6V3PdrthOpH4aB9FmLjedjRdJEZP39RstjVN24POyIvIZDTi+Fgyz3yM0lb1nrreHFjjLh2SbdcL09mLq7/IcpQWDEaM8PCw4PHFGU3XMhxNmUymB6jXvsIJAZziwI7yaV6nFCidsUeqKhTKKMxeYv1f9NCJMV4Cl+nf10qpnwFPgH8Z+Dvpt/1vgf9XOnT+ZeDfieIo/PtKqZlS6lH6Ov/Ml9ZGLlAU5WCYJPbg+pYmoQ/3YHBxvQbWyxWDzDAcjambjkLnolFBkRcFQYm3xFiLzQoxoq23jAcFbdPRdS1ZbhlUJcPRkEFVsc+66rqOiOh+2lZYK+fn52lIlvH6zRVRWQbDit12y27XcH5xwWBQ4p3n6vJKxI06UJUZ203HbldzcX7KoCoZDMdkuVRmPlENt9sdl5dXfPDyGcpYHj96TJHihYs00FNKs9vtGBSGQSmqaec8WkvwH4kdvGcIy4UnF4DSGrtHAEb5/8F52U5FCAiCQqWBumRpiy1C1u8kyb+0JjYxkIUDLa1GjBC1YCcyI4eT1ga/fzIqLb+XZJPgvQUgpDYqRnWAnpk9GD8k3gvqUPIbK9Xctz54xv/nj/4J86M5p8dzTo6P+K/9wQ/4kz/5MW1bixk4KpSWRUUICqtV2rzJTaI8jEdDTo4mXF+/Zr1dy5xVKbomsNk0knlmDU2/wxpLYQva3rFYbOg6z2wqdILBYEJmcwaD6vDgjCg2mw2T8VSwqc4xHk0JPjIez1iv1tw/LFhvdukhJFvc0XDAoCo4v3iE6zu6zjEYFtzdP7BcPhC8o66bdA/p1OoKbkLkH2ImlgNCKAdN6NFW7qPCZhwfjwmxo8iNhC4G2bLZxNLWaTwhCwhzCKbMsoy2NYTQJfyuSptn2Uz+ptf/TzMdpdRL4IfAPwDOv3aQXCHtF8iB9Oprf+x1+rV/6tBRSv3rwL8OUA2GZFoCxGLiwuaZYTCZkNl5gg4lPINS7HY7VPR419HU23Qyy8Fk8jzdUA5vDdaYRK333Nw9kBlZIw4GA2l9Eo1/sVzR9yJQ3KtjTXpaC9I40jQt603N27dX9L1jvRQkgHM969WKuq7p2pYsl5wm7zzz2RRfCm93OJgkB3yBUjrBw3qRpDcNNjPkRclkOkOb9wzjveJY3jdo25aqFA1LiIHg5eYNieinVXy/OULQDzrI7CcgpULwMeFXRRujUemQSL4za1BRMPnCi94LAyGGvU4oJruFKMZVapNjYueEKLwhQYIous4d1t+Hg0eLOFClh87+59RJuKmNxqcLGiUY28zK1qjve4aDgn/hb/2IP/rjP+Uv//AvcXY8Y1AVGCLrXc2f/vlPU6CCQ+EhytaGoORfvby38/kMFQPb3Y4yoS2sFa502zaMJyM5QEJEW4PzcuBIPI+hGpbMZnOMSUkKSsD3mTXUTUueGZxr+OSTL2mbjmo45IMPXnJ7c8Pl5RVd76nTAy6i5aEVA4+ePOHR2TFd1wnErffkRUFTb7i9vcdonXxkAaM0RkdC7NPwW7RZvRPki7YJWRIEP7LZbskLiT0WRpE/xAwpJQeLGEkdWSYbXufFJZ/lGXlVEqLB0xP6QAg6vb9/wZnO1w6JEfB/Av5nMcbV1+3uMcaoRKX2n/sVY/y3gX8b4MmTZ/EvfecjxuMBg6pktV5zdnpywGLGGMkyK4FlEXb1jsxa8swyOz4mUxFt5OkXUEmqD7kS7WnTtjgfublfMhunDPLMJsezKFbzvKQo3mdt2/RPgTLJjd91jkVqsx5fnPLLTxaYGDg7Pabtekl2HFZEBDXgTOT6dsHDw5qj6ZTpdCpD2KokxICJIgas65rNdsuTJ4+IQJ5L5pNsgjxKShP2b3mfpOcqenE7p+pDa+nvldrncKWDRIV0OMjX9D6kSF7DIbMLcVkJEVHhUvtkrElr46QvVCpJ5KXyIoKxWbKl2IM61xjJ8gLxBGVGcqhIh+LejCpZDkAIKORnDErKe5BDcbPZIskKO85Pjw/vTV6I09r7wF/9K3/Adr0mz7Pk6h5iU258cB0hQkDaA7Qh9BGdRfnbNdjkB7PW0jvJMR9WJWpUvd/YxZ4iz7BGsWtbXHQUlaWsjjmeHzMYDFBKkxf5YcahtFTsfd9z+fYtioj3Pbu6oWl7bm9uqMqSolTs6muUtigCJ8dH7HY7tusl/XzGl198wcNiwXR2QlVl1Lua+6XA1o2VBYMD8iIj/aRJqLrXPknFqhL9IATN/WLL6cmcPLnIQyTxuOW+y1SyzRiduNki99BKU+QF22aX6A5e8tZDIKD+y4kVVkplyIHzv4sx/p/TL7/bt01KqUfAdfr1N8Czr/3xp+nXfu2rLDKOZqXI5/sd0e1QCSEpyEsHeIwWdmueWXHqRs9us2EwKKmTV8hrhQ5OtjJJkVpWFTqrGI0GnJydk+k96U7UaPvSn2Ql2FdNLnFfd7udoCe7DuccZVmQZ5qj+ZSyKBgMB7x5c8VisxQ8qrIsl/es1zW9E0NklhInhqOhbNaUZHstlytAIleKvJQPNelZ9iyTEFXKdZcb1XufDp5UmcVw0LgE79HWwCF3/X2USEyaEhEXirpVWladqpl44LFk1qCsVCTZfkCYPFXeSPVi0jDYG4kalr8rDWj3/qyEQw1Byu7ep9hcOUrZmx1DTAzqdLJqLYddnhdMplM+ePmc9fJBxJEmo60beleTZRm7WlALXdehjWG9XjOZTLioSjQ/YrF44Ce/+JRdG+h9JPZ7YJkSOLqJ7LZbWUQkefGgEi+f0oqysHR9h/O94G6dp8gzjmZDtDa8enVNmZe8fPGRtLE2o61r0Tw10t7UdcPV9Tuc65nPjnnxwQe8+uJzgagTeHP5jtl0IsB7I1E/ZZHTtx1ffPG5SAVGQ7RRoqsJQ2KILNdLbDamKjLZJBFFo6SCzCT3qNqYBOsohqMRSpVcXi5YrWvOTmYQZYUv111C00ZpTfctunOBEJzcL1pJemyIcp0E0Mh95P6ig+S0jfrfAD+LMf6vvvaf/i/A/xD4N9M//92v/fr/VCn1v0cGyMvfNM+RCxR2u1bk5o0nRosP+0ojorWsJeu6IS9KrLVsNxuKQrYo42HFdtGgfMDQEpPQDGUk/7xuUL1nm0WWD/fk1shpHlISA6kqSDoOlYRScugJyCjP5XtYrVZMJmNQcHp6TFFUvH71Cucc5xdnKRr2HSEExuMKY3K0UhzNJ6Agy+xBVOedJCnudlsg0PWessoOAzv2A9Yog1WjNSqzZJkRUJbZK2nFH2SUIlidbhuBpMd97E2aq+xvLMHaqGSu5OCp2pP5xPG9//vl8PJpmE98j/uQqlAR5PQQuX8K75PP1rCPJbY2p2nTRRu7w8G52Ta0XUvX9ofN42g85vHjx/zBD3/AdDplu93KOt9moK047dPAs6wGTCbit+o6xy9+8XP+g//w/0lUkuXUOZl1BJWGok5uRJ2qpEzD9e0DPmqKYkjfdxglAYN9JxYWY00abEuLabWlrAZ0rpeY4aLEBwGjd+nPZDaTzzZCvdswGQ3pesfZ2RlFnrPZ7NAGJqOS0VCYRqPRAPCs1xvyvGJ+NOPNm1f0vWMwGHJ2PoXo2O02zKYj2ramyC15YfBeJT4PMggO70MTtTJsm47NZsNsfkZRjdHGcHx0jFLyvhsrm9k9hyn4VgL0nDvM2ay1afygmY1nnJ6eHCpsD7y7vqNxf8FBMvA3gP8+8GdKqT9Jv/a/TIfN/1Ep9T8GvgT+lfTf/u/IuvxTZGX+P/rn/QWRmOT9hoeHBfOjo1TOyUUSvJMBsvd0vazxlFJsNpLscHI85939KwK55E8RcShMiGBlG0LfcjK7QKXBaXaAU4tZziTvj0kbFKXSf8uyBIySlf5yvWI2ndH1LUYprpc3vLm8JAQwmy3GwHQ6IM8z2raj7VpGgyEXZydYrWS1rGTwW9c1TdPQth2PHz8iy3KqqhRdkJYq5FCZaIGJqRRoJrMXUR+bFIwr6RLq0JJ6H9BE+j5lc6UNhGyXpJqIX2MQEQPO7PO7TGoFfLrwvAjvQkgzGvk62lhc72WD0jSHQb+1mbCWAVBsNlsWyzVt25Fnlqq0lFXJaDRhOjsSmqCS90dC6OaH7eXd3f1hXa+1Fq5z9n72FlMUrsJgrebJ48fUreN28ZBmcrJxOYwElDrQBgGaGOmaHf/p3/tjBmXGcDjg9PQYozVn55bb+5s0ABdpo3Y9uRUrzVE14NHjDynLYTINkwbv6XNTmrrtaWohGs5mR4xGY16/eS3wsOEERaQqcupGkLwg10dZlqyWS/q2oShyvOvZbnfEFBNcFRlHs4F8X1oEmsbsDSjpwZVW6k0buX1ocC6y2nT84MMn/OQnP0cOmVYG907aQm1F5mGKpLY2GuecyDHynIhisVzSd51ogWLk4WHJYrHk8m51SJX4da//PNur/5RfPxn6u/+M3x+B/8k/7+t+/eWdrCCd91SDISH49ObvKw0h5LdNQ4gwGY/SwFmTZ0Z0EZ+9kTkFih5LGSMuQomiHJR89OIJ3/ngKUpJLItK3GB5f9ShVdibKffSddkaSE9ureX5s+dUleRQL5dLwU9agafP5zOUDuSFIoaGaiDBfqPxiNFownA4JLcWpQ1N03L/8AAxJt+YoW17hsPh4XDY32So9+hTpcVYOBhUsk1wPSGZGNvkwNepXRLXuUrM2wi1XFwqMZS1yUFBlyJv67phs5F88bKsGAxKhsMR1kp1todGyao9kuUlvu3FQxUBnRNC4OjoGGMso9Ew6TwE5+G9I8uLQzXlvCfLBOchlZMI8USyH1Nyhj/YDUKIONcRo7i8I/L7u7ZnsVwyn80Eej4Y8N1vf8hPf/EpxmYiZCwyquGITCuqqqQsC8GJWEU1GDAajajKHKNUCsCTOZ7zcHRyJsMZIiFJAPbVpLX7u1ywoUqp9P2KBSUSuX+45/7hgZOTYyaTMa+/+orFWhTgdVPTINYE5xrKXEDrIWpOjk9w/Y6z02Ph7hgr6nUXOZpNyLJ0ECoQM68BJW53awzZHtrmIsVggsoc2+2Ct+9uebkRsazrBmT5+7ZdTNJZmmH2EAPedTjvaJsdeVGKhiymGaKXLPUPPnjBar3h7fU/TIGUv/71jVAkG2PYbmVdeHZ2SlmISKSqKoyR8HkfPLPZEYvFijyv6PtOZhbaMJsOKPKcmozeZOS+R+mMYAxBQVXkPD47pu+b1Ebog6dmfzMFuUulT013QAiOfTKoc/EwUHZuw83dgjdvLzH0ZLlmW9cMJwOs8gRvmU3GrDct48HgwMoZDMeg01bKWJzzrNYrUU4bwSSgLM4F+r5JrGXoOseu3tG0shFbr5eMR4PExU1DwBRt0zTCximqitGgkqdTqgyV0tzeP9Cl3C1JzzTJ25QGxFicLlh3sO0b1q2whoyx6BhBe5o+HGQF6XhmvdmSZRlVWXC72EHoOT2eMZ2MCdFTlaUYDNv2UGFqrej7ThCqXScXO5Gmfl/dbbe7xE2SSlTMu/LntFb0XU/XSy573dTS4lnDf/2v/SF/9Q9/F2sMZSHsbBCG0B7/IStedyAP2kxA6MZYvHf0vRcOWdi7u2Ux4by07Ccnx4RUOe+ryzwJUpXSdG2D63uqMufp48dc396iTc798p5Hj54wGY1YLJbcPzywWtdobelcz/1iwcXFI8aTMV3t8aXl5uaBqhimLZOhMAU2izjnWO82Yl/ApAepQSuboGYGOywJZkjvbmh7x/XtHev1hmF6wEscU9pjRjEIv726pN5u0VpgbS6hcCfTI6pqwLNnT7l8+/Yw8wzec3p6yve+8y1evX77G+/3b8ShE4Hvf/97fPH5F4iBDH7680/onEehUjTqHgouU3irFd/79rcoioxpVlLmGfWuFSOS0XhjyLzHWvjo+WO26wVbwoFJK1WABLLZLE8tlmU4EN7s4UJCEYNLmE05KH75yWe8ev0G5zuKvKMsDLNZRVVaBlVBmZWUxYAin7DZrBgkg2CWyPnyQW0hRtbrNfO5xCaD4e3bqxR/oxiPhpRlzng0YPd6S9Mmx7XNOTs9SZVEWi0ryPKCum55e7vi+EwUDM4HdBBIU1Caz/70Zzzc3WMze2iPrDYoIyD1zJp0MIrKdFN3FGVFZvWhGgSSDKGRbKgsO3BXtnVL7wK5UWy2NdPpVOBezuFl1QbKpe9ZDgJxwFvatsdmQu1TytB2DdZmSRtCGl7LvCLGQNelDC6rMbakawW9EGLEdx0GKKzkomm0xPVm7w8gn3Q0+9lZ27ZyuGi51oISs2sI/WG4X5YlTbPAZgldu1/7szcE6yQhIG3xDHUtkdknJ6f0fcPRfCo2k+2Grm/TQ8aRFzmjyRilLefn53Rdc8gfjwiPqG1bpuMhygdQwu8BgyK1dlHhnafIxBX++MkLnj3/iF988gWZ0VSDil/96nNGg4LJeIwxnjyr6FVH8PvPNnA0n1NcnPLpL36C12lArWzayonWyHnPwAjEbrVa4UNgMix5cnHyG+/3b8Sh41O/+PTZE9q25fLqGhcV5WhKnmeyitTy5DPWUBYlq4cHnHNMJmMBcqlI3zbYYkBUChMcWTTMpjNOT+aQ1MQq6SicD0lt6TEpFgXk4mtax/XtA72PjEcVp0dzjM3o2prPv/iUT375cyaTCfPZiKZbklnL2dlYcBnkaAyul0ymsqwYjydkZr9Olpys7W4HRJzvefTogp//4pdsdz2X727IjOHkaMqzv/x75FbmTW8vr3h9vWBYVYyrnOFwQFVJoJ8PPg1HFZudtKA+xMPgOGIPsK/BcMjd/eIgn5e1Q4rqJZH9nMTzSmonMqspc+J+zrQ3jBorSmijk59KvpcQHNj8ADkXP5hMYE1CS+gkARARojkI9YDkSu+JUWMzg3fxADEvy5zgPU1Tv28FlAyQg/fkg5IQFV3fMahy0CkeOf2EQIq+UWn+pUAZEbQpjUfRdx4fJIJZp/dQp4M4hpDyrWKat2mCdyn/yRzc/zGKcln0NrDZbiFqaR29RFv7vqNtW7q+F5pf6EVSURZYq2nbhlev3oriG81pXjKeHzEaVexWDeu1pKHMZ2NUTqpWA0ZLZZvbnIuzC7Is4/nTcz548UQWCaERqDqw2TRMxgk5ggdiUtkvITqGo5GsxKMcOtVAfHVZnh1yyMZjSfqsqorhyDAclL/xfv9GHDpKa5bLJWWR0ynFt7/zXT7URty/IV0qaYsCHmMKMgObxUIk5m3N8+fPeXf35ynpIRK0pSwyPv7guSAzki8o+oBKGU4xcqhqXIC+a/Eu8PmrN1wvdoSomI8rcqMJvmP5cMv93VuePTumaVvKQqFNjnOBXd3jOsd4MJTQtBjpOwk909pQViU+OIq8wPtweFLso2EHZcmmjvQxYpQlSwmkXdRkSUho08ZKZxlKG4JPFLy4H6jG9LQ2EAK99wdPUwiRvMw4Pjnlq69ep2F2BB3wRLKEgRBlsHwmWkECW8jwtpCgQdl8aTRWcJa93HRFkeGcUBm963DK0HYtw6pIeiHBLEQFRhm0jqmdUdzdLzg9PZGtoVJcvr3k9PQ8RQTlvH79iouLRwKH14bdrmY8nhzU7NAzGI0wNkMHjzMWHxSi99SC/lAZTRdSAuU+B10limIk/eDEJHjUCVsSgsf7vUAx6ZPwqapxafCu8NFhKEQ46WQvaLShqgbc3N7x7Pkzgo/YrGe7XUOUuWRRSPu42mxZLlfMZzOOj49p6zWPHz/i8y9e03vHbtckQFdG0zs2u04AcXqM8/vUTxk5dJ1jZ3a8u7niD158yHLxwL/37/8HWKuYjAc8fvKMtuvpQ6Tte7GM+EDftdh8yNnpmSBTjMhWdrsd2miGo4l0H16wskITFLtK24q1IqTK9Ne9vhGHzl4a37uQJPl78ZiEtan9RiZNEHrXQVRYrYnBgYKnF2f8pMwP+hFL5PHjx/gQuL1f0DvP7c3tARUZk9I2HpQZ8s99C+eVxSZbvzaZZEXHQFFA29aURc7d/YK8VBA1D/cNxuQ8OpfMoqatCdELHkIhc50slySEGDk6OuLh4YFnT57R946nzx5zdf+JKJCVwmb5YXMVIyk2hqQrklSLvZnPOS/6mV62e9FYSdUEcL2E3ilQMTCdTVLWdEon1QaDtKui2QG1F9DE/dM8CfW8JF/2vYTJ7Vku9/cPEstTVZR5Tqs0zjtypWk7T1XJF717ENX28dEcNdDoKDlKSsF0Okl/pab3nvl8jtaS5wWRx0+evQ/oi56jo2NAtkRdJybFGOW96NqWSEwVzdfw8kp0OW3XSVJrBAipUk5JqCSJgJKrJCamtUKYPwot1hC110t5iiLFTIuaIKmqpYWrqoqubzk5PmI8mdI0Hdv7e9abHUUmg+jxeMj1zR3H8yOyIufs9PSARt3VNUprCmspyjJlsUmK7WA0pNxsyDNJuvDey4wpOPKsIAR49dWvWK9XfP93/pAPPnjJu6tXHB/PWS8fmM9mLBe3sm0LAZ/at9Y9MBlP0qbTSMRMXpBnmWibYkyzRs9GtSxX67RZFlRG33e/8X7/Rhw6+xt9sXygTPOPGD0iW98jBHS6SGTTNChzMkZEFFVRcHwy4/z0mHf3G3laGsPrN5e8e3ctPiEtqYeSUiixqjGmeF21V78BSpOlm1IrKKtSfDSuSWmflrquqRvZJmgVMTanLEsyW1AWeZpJyGE6HFai8bD24NAN3lNVFb/7O79LORjw9/7+P5ItWe+TjF4nsFiQG17L2tuFKMPNpMiFCCEchIPSrgTEGCwaJLsHpKeVc1GWjCcz2maHihIeaFKVo7RJ+eTyeZg0PG2alsk4T1xp6ecHVSl/V54xm4oGqe3dIdJEaUvvAg+LNdPJmFev3nB7d58SKh741kcfMJ0MkrBRpTmBx/se772A9UPE41M1oQ8bxRB8OjhltSx+M5Nyz2Tek2U2KaYjaJFeaC3ixqIoMNqkNgjZAqkkVIywzy2TyyISYvY1f1k4PADbRlCfOj0ASKJSiSMSU+12s6YqKyYvP2Szqbm9f+D2bolrOzQCvN/WLWVh6fuWaCQD6927GzKr2GzWjEcD7h7WLNdbHo/GhypsNCj58OVTfOjok0cx+LR9TQA3HxQP9zf85M//BELPfDbh/PwJ0/kpl5fXKOVRuIMwc1c3DMcVIUZJushzeYA5xabugZ66kWju5XoLK6nY+q6jCx3RwW8FrtRog3OOq6tLnj9/gW87wl6Udvigg0i0vTBE+nqH62RLYI2iKAfSKpF8PFFWy3tNikkeqmBy+ijqSblQwkEPEELEKEd0Gpe2WcF1LI6XRCdD0+l4TNO23N5tOToag+pZPKzoO8X56Yx929Yn+0JVVIJySKtykIvbdRLJSlSEANPpFF7fpOBAlRg+SQuTKq4YxSLg9srdCKDx0UMIh01W7x2F88nHk9TIIH9OG/JMU+/eB98dZkBKQFkhqY/3WpOirNLfqQm9eI2atiOgDq1rjBI6uGsa9hgKH2Bb12x3DQ+LBb0LuBCInefd9S1V9YzVekOMwjAeDAZAPAxk5RAQCuR+DRxiFD5v0qDAPtFDbrbe9ZKUYcTAKJnt77dV+0C6/TNmn/ohqmnZAhq995bJz2xtBklc6VwPRG5vrpnP53x9IJ1lQqsUYzDEFEOdFyWb9YpffforVrsGbXL63qEGOSD2gnJQslzscLuWqxuJwnn++JyLi3Ni8DRtS+c8ddMynwxxrQMCWkfatpdrACUExBhQOimRg8KryN3t1WFj+Mtf/JST08dYC9PJiLZr07ZLMtuKokIZUYQ3vefTL14LdN7FQ9qtC5HVthUPZCdbui5tW/eo4F/3+kYcOjFGhoOKs9NjNqsHmt2W3nsxIpqUWGitPKGUuMjr4MlGQzKbs6vFv3Q8n3F585CeSqkHTy1CDIHWOZp2gzEk4aEkSqp9K6LErxJRErOrYVgINT/PcwZFRnA7ieToehRik+g7j9UlJpXcznm8g31/rUhK0XS6ee/YbjdU5QkheJxzPDw8yKGk3meDp8dz8kqFw3rfO5fSD+SJG7xUPTodEl3CVHifZsRKo+PezKfIygHdzR15oeXXkmJ5b6qVJ3kqEgCl3sfGKKVog9woSimMiomjk4yjSqwDKrnCg4LtrpafYa/HIXK/WNF2vyKwT6nIeHKhGI8Gh9jmENKWSyvyTAbIohKXw1sIALJ1I6mHjbHkVvx0ykqLDBFtpCrKM32Y7TnXH95jQW0EcpPsMNELSM4oXC+2E5UL3LxpGhaLFWfnF4frK4QgVUnCbGw2WwaDEj0x9F3H1dVbhqOCqKBueoF7+YBSPqV9NoQgc6n1esPTZ0/ZdZ4sq2ibDaNhybaBpq4PPinf92iDbP1y8RLq/aA/+d561x9kJxKlbUB5rq/TWjs65JNL8U1WpTZS3oOrq3saFwhOqt/QS8vbRc22btltN7i+JyZ5yV79/pte35hDp+sahqMhXdsxm02TB0UfDJjBuzQPkcqIKuEoc82L06csV2s+/vAZr99eUidvzV4CTtxD2zXlYIg2Fp3gYEEZNJHMapS2In5T7w+tF0/OmM/nqNhD9Mw5PVj/netp+477O2HeiihM41x7KM0lRkcnEqIcdMbmnJ0/SpgDWZd2qQ/2if9ycG4jN7o5PPk50AT1XuKORJm0faB1kdvVim0PPhkmTaqS+q4hoGhDMnFG9X52w77Nfe892xdT+5kIMX6tugGFxqtk7Nx3qKlyUlG4yZ2ThIrpdMpiuaTrfXpSBmgNRlvxfHnH5dU7Rh99IAdIL16uosxTwqWn7zsmkwk6CRrv7m559uyZeK604Xa54vTsVEIFnUQrZ3n2fs2u9uZXOU0F72oPfByV7cV1UjX0Xqw3AteSFXSI0PUp4ZI0cNea5XqTFEvqcMBqbej7lrqpUUpGBoEOawNH89NU5das1ysGg4LhcMBm3bLd9Xz2WcvLFy/EnIromoaVZTgaURQFfbvh1Zt3gpjoGs7OZklUKufo4fuIAdd0Uv0nW2+MCudq3p8NQkOM0RFJcUkhsq5bru4e0LZMS4b9fAxM6A4OARkey0UgQ/bfgkNnr2lo6oau61mtNmR5Tp5lGG1kRmIzwXQaeYpJjGqgd4q7+xVN1zMel/zu97/DP/nzX2Iyi9E63axyiKD1YVWbWUMbFEZpnO8wUSqeNkSC0mRaIZWqzBkIDmJIN7tmV++o2xrvFLtdj9aah+WGIpftWVlpBuXwEKXS95KSKBBvOZxQSp7+WlM3kjZqoiFGQ9P29AlHadDkeYH3O7QJNJ3nF599dTgMBC/ZUTdycLVYFk0a+CGerPejTZndRCXwLaP3h4W4y2WlHdmXZYdZCrJVkgsvfWgqNTg+RQftOTWpNdPJSrHebHn+/Dmj+1selhvuFiuJYFYiYQjR4/qeQZHTth2T8ZD1pj2I+ooiJ9KhdY4xcmMbk3F8dAwoUTlHODqaHzYr3ktl551Us/s1dp8icfYKaB/k94rJMj0A+5C2YpHNZkvfBaazwWFAvFwuGFQVXdcAkfW24ermjqePLuj7njzbJyeIYzuEwGQyY7W8p8gyYqZYrVY8ffKUeuepTk+pmw3bbcOglMSOxXbDcrWmyCyb5QOjYU4Ika5tpMrVhuFoxHa7pSwriArXOcgE/yHkQPkZeuXF2KpJSv788H5Ya/Fe4nu0vAV0zmOLkuv7d3KAxZD0EwkvA4cKVd5HqXBEPB/TNvHXv74Zhw4wnx/T9xEfdjKQrEa4AJFwUJBGn7AMQcrZTz79nIflWtgzyeNSDoaHzY8gG+RG01H4ODEGMRcGj9NixlShp64b1D4Taa9zMHBXZUwHGUVmsEZTlSW7rCR4xbAastpscMGz2+3oXJDwPAOzWDAYVKBUyhG3ggFwbfInebQSvVDXdazXa0wmqNEQoWnb9DMIDmZvOA0h0jvP5c3D4SkLSLUSJFcpZLJGdmnroqygOlSQDKmgNFle4LuGGJUwWIICv58dyQp9D05r6pqyLNJBomnrBpvnlLl4wdq2JbMGkzhBECmsbP1A0CJawdnZOatdS5ZMtJ54WM1XRck+RiiEKNUlHG6OIs+I0R78Zc5HbBIkBh8OAr+6EbW1d62IGaM6+Mv2BlvvfdpCCTtbInflnD05ORKxnxZmTte2BDS/+NlPpJXpOx7u7xmPx6KlaRreXD6gTMbZfIbvO+x0jEpUgjxhX0MIfPHFl4zHQzrXUpYl2+1WIF7Le4ZVQVVkbHfy/QdVcvPuLcfHJ8xmx1gt6RFaR8qypGs2QrmMnvlUQFwiS0h5bZHUbmn0/tqJgT4GMpMlFpI8LGbTCQ+LB3xCgMQYeXdzx3K9w4VAboQ5hTZijFYWVEwzVOFcB61TIgh/ce/VfxUvhSL4kPpcySP3wWOVyOJDiIQ0x2i7jq5tqQYDinLAm19+kdgxchg/eiybpAhErfExoqOiVwqNRiNCJxUVFklQwBaiTlaQaSW5UNpgtWI6mzKfzSAGbGbQ0TGZzui+cDSdpITGCLumS4dkpDcapTxnp2fSGiUbwn5YKU9qnVob0doYLbOrvRS/d+4QeQMc/DByU3q8jqiwx3GEpF9JW60k4UeBNft1rsytVBTtSVaUhL6RBVj0EAVYpRWHDZpKA2LxXqWLmGQjUBIFHWIUFTAyE8i1fE8hJjZP9GgCD4sV9/f3XN8txIIRocisZEdZYbIYXZDlpbR5zqWffT/fkYdHDMm6EEJqI/bRxXItxTR7yvKCX/7yE5YPDwJU856m6+Tfe09y4KFTVDJAaS1//Ud/SG41290mmV1bHhYLQhDwW99sE5Cro2kDm9VW8rboWa5WB/OwtaJYLvOKECLVYMCjR4958/orjDXUsWWz3TE/+g7aZHjfoZVmUJXShquWerfj/vaaycsXPHr8BPdavo5JdhGbGebTibCLQkYMBh8D1uYy5zHZoZomQlkOyK14qiJgMxGXbnYNeT5Al0OUyelD5PZ+RVByTcgBpZIdJOWaKSOHUCJV7g86Mbn+Fhw6KAmLb9sWHyK3t/eQWoqykhjeIs9TnnNHUzfc3y+YzuaUZcFXr96gtHzYd7c5T54+O7QUfv9P78ljICpNVVbsO4ighJAXdYbWMTFnRAym0fRdl7w0gJI/Y/KC2XjKm3dvyXLLeJTTdU5awnzPBXZUZYlzvQC7Y2LNqL0aVx3SJquq5Pmzx7y7W8oBi6ZpXWoTxFhns0xEbIetTYbSjhCSfywJBX0IdD6SGcErRFWBd/igDgbSvu/pkZW2VqC8jM4Nmth2ByXzflu0x1QIHkJhsjzpVEIqs2Vgq4wwCKWyTBOElH3+059/wnK1xnnHcCjploPkqC9Liag9OhpibUaT+L1ZctsHWZBhjcVHR0RmMFGLu5xUIfW9O/jK5kdzbm/ueffuGq8iQQuLGWReEX3AZHtphHyfbee4vLzm937wHbbbBQRHbiDLJIIms0J2zHKRB7impihyJhPNzf0Dn372GT/6q3+V3W7LyfExTonGpyorYghcXJyzWDyw2axRWhIePv3kM54+e0rX7Lh7uOf27pajoymz6YjhoEKpTEYBbUtVVTy+uEhaM3PwDFaliC+J8p5ktqAoI0VRpko44HpPXuRYbaXyNFLN5em+EhOtpQ/wxeWNtKFRi1Lb77PWdLJBGLzr2LOTfJQWXqWHUWZ/C1bmdd3w5z/7hPOzU169eoPShsl4yC8++0JW10SMySRSpZdTWilF96tXh/VcDAEP1LtayucsI2pNBgSlZGgIRC36Dd+3dCFIvIox2LiljrKudV7yuLXRZLFlVMg8wxpDZqU6CQTaruf+Yct8PmYwGpAZizWa5aJJqbVKZONWv99KAcSYFM0ZNiFVT07mvL15QAWP0hlN59g2PZmRgXGeFwKChz2aS9bASpg40e09MR5nIiFrCSZHtzuskuGvzJEy2c1ZKxE5SbbvQ0T3skbPjIgPW6SCtFZ8aRLrI+W7VkgbSsCjZKBsLSGhQVwUT5KKQXxGCXsxLAbge1zX0CgR3K22DTYrKTLL55//itdvrlJihFQ8MQSpOuczQhBNyF6sF7wMi3Nr0dYcKsLBaIgyGg/4fRmUhH/oBC5L8oo909cT+fyLV3zw8hmz6Zzr6zd47ymLgu2uRumc0XCI6x3L1Zphcqff3N5w+wCLxQPX19eisfKO0WjMZiMVk7GW3XbDixcv+eqrr+jahvWm5vbumoflkr/2ox8Rldh89jOZ8bBiOj/i8vIdP/nJTxkMKrabLY+ePGU8nYs3br3k/OIxSmsWi9Xh4btcLjAu8rC4o6oq7u7uGA+HVIMBu92WrpMZ4B6Zm2UZg+EYr3MW6x1KG1x6MGokUsmqZJRWUm3nRcGjRxfyCMwsTdOyS9u13/T6Rhw6Tdvyy89f8eXrS4pCKpvPX789aCVEaerSOtq9h4/HKOu6tCpWStE0Ndvtluro6GAojDHiQqBMVUyM0LoeTVL+ErEkrozJGBaazMjG6PT8jGfPnxFdCyA+It9R7+7Y7WYsMgFQjYZDnOsoyzFhEsnyjCzLMUa4PSE5eCOy8i1USUQAZTbLsMbS7GpGE1Ho7jrHn/7sMzkog6MoB1LphJDSM2Oan8hr/x745DbvbY8ycjgHrVEp6jU3FudadDZAFQN8s2HPrYH34DSrpeWT6eD+7xETKPunWhQBorRRKd0zOcghUJUVZZGxXq25OD/je9/9mOP5jLZzfPnVK/7xP/4nxCBtdb3bcjSfUBXHXJwdCwMnOJq6kVmFVnRtjXOO3XZDZjPZNPVd+r462l1NHQJKGdzxHIG/QdTmoARXShIrSO2jXCFSAnkNrXd88eVrfvh732O1ehBudt8QQw0xMqgGbOOOpq0Zjwe03YpIn7hFns8//5w//IMfsl5vmEwmZHlB2+yElTQc0bUtL1++5O7uFhduGY1HDKoKay1Pnz5mt5sRvGc4HOCd56tXr1mtV0wmI5bLFcPhkLdv3lBVFff391ijWK82dM6x2WyxNmM6GQlHXAufOYZIVRVc3dxycX6GyXJypbl7WGJsJu1e21HNSparbZqb9Tgf6EPEtC1138u20vXk1lDXNYPJRKwxe9ETUkX+VrRXIUR2dcN2F1Gs5ekZSP1oOASwHV7ph9prS4CD+EspWC2XVJMp1hrZChNRweOUFrpe8JR5jtYaFwV+lBpSkZ/bDGUMRaY5OzmCsMcXeFwiDG62G7SRTU1VZjwsVoyGJbtGPEEhSI9+AGTBgcMSUVij6LpWDr0Q5Mm0DweMabic9B8xgt51QgjU0vLscQwHFGmU2USMEU2QZM6yIPYtsW9QeUnvA363JjOaQE01HLLerckSbVDSADQmzXWMsXRtzWq9TS2qO3Bw9xXaHuaV54LQiEYuuqZphJHU1YxHA37w/e9wenKMNoayhO9+/CHr1ZLPvngtsyw8k2HBoMx5+9Vn3Dzc4LqW4GKqbGUta41Ng3jRunR9f9ApGSsPHmuNcHwUYhQzCozCBE1UEkIoBU/awKUKNESpdt5d37DbfchsdsztzTtxbecZSvkU4WM5mR+jFezqNSZTTCYT6rqnrmuWqw0nx/N0SAwgFvjks9spxdY7ZkdH4stDMZ7OgEDTdPz4z37C44szNps1i4cHttttSl5o2e12vHn7houLR7RtTVWVovFarg8JEijF/EhwqL/67FfUdSMpFcOKrMh5/OQp1lrevbuSz8c55rNjTDGk6fcsbcd6s0v57f4gdrV7q4kViUYVo3QSJKpkjBRFftBR/brXN+LQAZKoSC7YEBRGh4NoDd4/QYWM9r7C0ftESCM4yQiS9+wdOjP0SA5Pn1oMvKzEc2PEmBgireuxyQGuTUanGqzWTE9mtJslb1d3ohtRYn7bbDbSa5uMLNcJwWnoOiUQ7nbJcJQfbgCUkYNkb2HwHhcjvQtUuWEyHlFVBYbPMSrio+zcgveJ+5O2S2mzEHzAJcGfTe0OpEMjKqJ3WN8T2h1lZolRoZygHrSSIbkBVPqz+0E2EdngKXH+EyXO5Nnjc5abnXiagpeWK5PWUEXwMTI/mknUT70V/nMvAXOu3VEV48QcDlxf3XBxcS7gp5fPubtfsK13DKdDPv3klwwKS9/V+LaThw7vAV82y2gbmSUEIr0TZAdRUJvSFgc223V6YDmCTjAtp9N1lNpcLYfYXge1V6AEInfrDT/7xaf8/l/6HkWxonMd+2m162usLRiPMnbtTvK9O894XKKVOK/fXV1yPJ9S19LqT6cTnOvpu56yrAhB2D/n5xP2Zl1QrFdLqiLj5vod9w/3FEXBfDYVT5OTOKPRcERZFIwnE+bzIz759FOqIMjW4XDAeDxiPp8TY2A+n3OWopMEvqawNifGwHA45sNvfQulRFy4aToWa6nmfAiUVUmhKnlIx0inDVkMgimJkb7t6OuGvq4ZDgYok7alSh0qx1/3+kYcOpGYgFI6reViUjfKByI9oj9gBg7q2ZBUusmLshfktU2N63vyPCOi6VQabKYVsDzpApu6xoWIIdIasR1UiMx+MhrynY8/ZFiIRN65XtqytuPufsVoOOZ+cYvN5MMYDMZcXi2oG8fR1JJn+UEsBpE+2Qes0ezqluVyRdM0VNWA4WhE3cgTqet6mj7Qdw6nZU6V1jQiSEwKYqJswUKMogpOP5sKDk9E+548ZmQJcKXzTIywMWKUJ7OKrLQ8+vAZgzITIFhyVesEvioLSTt9WKz4z/7+P6JtW/l5NNS1Q6MP+FOjFLYoaOr6sK5v2waDbLWcC2y3O/7sz/6c2dGcsijFXxWhyHOePX1KFmq0FtTpXhOzZ9+E6HAeQnSHTVUXPFmUKndxv2I0GOJ6jzHZYSPqvUzBhHvzvh0NISVt7NuspIQMStET+fyrN3z88UcMxxP5nJPFZFdvMGaXaI0hJchqxqMhRRZYLDa8evUVmc34+ONvcXt7y3g0oqoqQoKsDYYDiiKjabqDmtkYy3a3oa43FFnOy+dPxTBsDVXMUEpmZdYYdGaZTKZYozmaz6gqiVPabjb0vcgvykL8hePxCK01m/UGlKLtxKayT2otigJbBK7uX4ttSMF6vYH0IJfKOuAjRCPXr9ZJrKqlOgwpyNEktIcyvw2Vzn7dGfc3t8xX3N79m1Sz+/+/P3j20PI9i9d7j7U5vW9ZbzZkZYmzsuZVMdIpTZbk4SSspQ8Bq1IlhbQVeWb5zrdeMBxUWJWc70kb9O76hq73NI2i3nl2bc3Dw4bHj+cMBznDgUQAy3B2H14mF2iMmsViyc9+/nPevpXN12w65enTF3z+2Sc8eXzBz375Kzov60e0DHW1MWRWU2VjNFLCFkWR2CsDxsOCQSkMkxgCXaoCZWWuyRPRL89kAyOzjK8F6QXJohLDqT6s9UkCsEHCe253wrTRhKS8dmkbp/C+J0MSFN5fmOB6j80yXl1e8p1vfcTf+jt/C5uXtK7ny9dv5cEQA2cnRxQ20rdb3r27Puhk9kAsbSTbXuWZ4G21wXdeDJ6HGRepPTaU1UA0Oul93KurDzNOkWpLBbMXTxqIQSqerev58Z//jD/8ve8xGU/ou45tvUtq5ZgsBZo8y2m6PgkZe/RavGDvrq/pvef73/sOm80aGDKejARX0jZkecZ4PGKxeEjVT+BofkT0HV3bpFROSYAQqkFF27ZyWHUtTb0jz2ey4S2lirRGqoyqLNFGc3qyj+sJVIOStnVEv78+QkrDDTzcP7CrWxTgOsdgNELj8X7vI1MCg5MLG0Uky22aA6qD+t/sfYK/DYeOtCHvNQWu7/+peY210jaZuEctqEPbZaw9+ExIMTJZXrLb7RglQ2jYIwsAj2IgAwKUc7imZRfFl2ONlozxkyNcW7O472W+lERinfPc3z/gAxTZgMVyw9HJAJNpnI9Uw5JBUdD2LdqIUMt7MRHudTLb7Q7ve0LsQWmWq3vO+wueP39GWVX8fvE9iqIgz3PyIpNhaHhf5e03R/tBsksRvDFVPnu+ThD3wQGxuoesuz7FCafhsM3sQWy3h7nH9If3wkSAs9Mzbm7vBYoVbeIiK3oPuZa+HuTgz6ylbVsm0ynrbY2PiruHJX/6k59zdHSEUorFwwM3t3fyNB5UuL5LIeaG3onb3oekAFegE73OmEykDF7ogk3bMxmPk+1CEZNZVmvFrhGpfwigrDy4RCeBzHL2Z2t67ceGcjhF3l7d8Dvf/YjhYMRDeycBhWkovW+VdZoD7pqtxO1oz3ha0Ww7VssF19c3XFycstttCSEwm03ZbneCafUxMbFl9T8cDoEL2rYR46mRkUORi7RgMEC2YtMhWVay224E5J9lKBUZnJ7JZ+xTPJDRtG13wIdYI1VjURaiD1MKbXMeVttDdr0xliy+TwVRCDM6y8uvLWaS5ivNePZ59MHLZ/T1wfI/6/WNOXTyQiI4nEvxs0pLmZzWqlJthPeVzqHa2Q+URYWrU9VijKFvW1TfE5Smyi1ZWQKKgBb7g/N0Xc96vSbLc9oQ0OMhjy7OuLq84qMPnjGfHZNlls16xavXr8kyC13P5ZuvGI1KjFFYA23rMVgmoyFaDai7NNNwPgnrpDx33ovoTgVWmzV5Zrm8eoOxBUWZ8+TZI5Ewppvaux6l4oHeBqnUTYPv/WEj72PSoLCPiPn6f0/y9aiSoCsNqK0cFJH39582ViwnyAzEGHmfbZYngpxsD0WzI6JKjUj0Q0zMG6XpvRyMq82Wk6M59a7mbfuG4CJtW8vfReDxxRnr9UpyzVzHrt6hlE5Vl2zCgo9pQKnQWSZ6nnaJUpLbvacy1nVDkZd0XcdmtxN9iVW8f4O+fuG9/2VtxTh7uF+0wKg2mx2TYUbdtqy3NVlmybL3SBTnHApYNy3tdpfc9T1tt2VcZLy7eoPra549fc79/X0KFhjS9QWb9Zp0rEoCZzXE+Ug5GOF6j1IhpTAUybsn6mov/A2GQxGPFnl+IAbsq9O2aRgOJ6KpCaLa7vukWk5KZZTh9bs7kZHE8D4gEAhaYbW05C6IjovI++BFSN5GMfZqpcDaVDX+Fsx0jBFdTkTR9YmHm55cxsh2Zt9KaSUHTlQao/brufc3nYvvfUa99+hEMfNWY5WSVitEWjw6z8ico663lGXBZrtlPh2yWS6YTsZMZ/N0Y8sbbTSo4Hjx/CkPd5brm0vKrKKue5q6Zr3ccTSfUhWy1WlqQWqaTOwAfdez3W7QStP0HVYLl8/anKbpUkjcTJ4gaYCsUukvvq+YcqykdVLIwbEfHWmlYL8aJq3LQxDwepCKSGsNnsP7GVJVI/ohMfXFII5kpRTKe6qy4Gg2xlhL3yYge0zZWdGh1F4vY8gz2X4Uec5mvWY4GHJze8dwUDEdlQzKUg4530KMzGfHTMYjvvziVwwHJTH09P9f6v7k17YtS+/DfnPOVe/6lPfcc+tXRF0kUxKVMkRBhGQ1bEAdGxQECG4IUNeA/gGrYTfUsToSJMgQYMpuEIYAw4JtAZIskkqRzExGMiMzihfxqlueutj1XuWc040x974vyIxHGpSFlxuIeLc4t9p7rbHmGOP7fl9Ty/pdaYGnhSKsvA5OeAmRK4qCtmtD1rs48MejAUeHh5SbDba1EkEUXu8jaOTfqoz+jSIUzomEt4LOezZlTb+ISOKMNO2IjPz7vpoCAQbbNFRlw8HhvgxqBz1MAs5X3N1dU242fOtb32K1XFCWawaDIaPxmKZpqMqSupGCEEURSZph+hGbzZo8N2R5Lu2QkVlk21riJMNomfNFkQDstda0AWLW7/c4ODigaRq++OKlPJiNJo5iWX07z7vzcy5uZ7L5UlsOjkf7bTouO2KADsUoUdKydkEerpUWXyKKRGucNvAXgRwouo8ErSDV8c5/s/vp7WYlPM0E1C1DVnmih6f2Fkka3hDvvjJNV5CmKV5rnFaYMACzXcdoPME5z+HhAd/++COUben3Cu7u7sHJmriuRS8yGA5pm5o4EZ/M3XTFYJBhraKsHff3Sw72RzJgVOEiisVr1GkrkToesJ48EzXoar2kX4xRGOIoJsuL8JT3OzW0d36XKbXd5jgvkTRbnMD2ntJ+myfuguVD3igf5jhlEHB5IE1SYd7GCV0bQumcuOi3GePGaE5OHhD/2a8onQvrWYdzitgbbORouw7TNJg4CYIyj1ea9XpFHMfcT+dERjEaDjFNRVvVKKM52N/j5cuXVJs1tquCjsrRNLXcJLEA1Z2zEptrIjn6O2lZtdLYMGfJ8pgsKegN+lzf3klD7ZSIAUOh0YjjA/fVU49COUlE/erL+a1zLzjn2WqjNHUTbAtpSqU6RoOhFHTl6dqOvMiwrqXrHHiLqg2/+MUvOXpwwng84vbmjsFwQJ5l9AfDoD9ao43EE2ltiUxEkkpBNdowHA7YbDZ0nRhNq6qh18uED40n0hHedcGTJxzuu7sZWhvyIsc5y2DQDxvYKqzBY1ygc7qtWNbJrCw8xXeZYeJQl6TWSEkLuo0J2h0Qldold/y21zei6AjaohaNQGdlM8D7QTGEtefWPxS2T/JzMmBmK/zCyxPbOZkThDtxEQvRLu8NwpxDjKR1J28a3vPs6YdsVgv2JyOcMlxdXfHBi+fhSWq5vrqk6yyXl1eksWe9EQ3LZDLAY1jXnuvbJUYbsiIGNJ2VuZBS708f2xNIUzdooynLktFwj5vbO/JewdFRhNER0NFZt9NfKLvVQqQy2G4arO1wrg1xIwRIujjVrRMI/BaGZoM/K8/zUMC30nYBjmktJ8m6sWKolIM2caRJk4TxsM9itQqjEYVWRmwQQTdUq4rMRGgTU1UVJknFt9NZjDacnV+SahgP+5g4ZjIe8fOf/wKFJU8jAUG19fvZgIaykbWzc6C92EJiE+/AbAFchHewXtXQS+gPR/zqs5e4cALcFuMw+EEbSRjZ3inKK7EQfEVJ66xDe08UR6RZDmzpAArnhR0TxbK9SyK5Fos8ZbUqAUsUp7hWU1YbhoMB1je4puXq8hzlPUW/T9d1XF/fUvR7Mk6IEpI0wTpPkee7zd12s9bUDXgBoDvnSPp9vJM2PM96O0ax97ApG7yWudhmd5KSFimKY+6mC96cX1G3Fq/NLqHVOfl3b93k+OC4570A1TlLHaKDdw+2cFruvN/NYn/b6xtRdKy1LObz3fBKjvtyOvHuPY92G2TmQuuxXZvLdsj/IyJCj4COtsfqarPGJBnOCwwsVp40jtksF2gcl+fnGBx5mrBYi/4gzzPiyOCsZjgccnNzx+npQxbzK05OhhweSTjedi282LT01i3Ww2IxlwgWE4PtMJHZZVxprWldyyAvAMdiMWM2WzAajekV/eCbkV45jqXoddaDdwIQU1Jgsjjb/VuVf98cbJ82SkkhV1qFlkWFrKbgwrfbVorddtCztU3ITM16RZLEPH58yruLSzGIKlmfeoUIOfG0tGgtDnSlFcvFgigR5/lyJYTANxc33N7di4K3roMaV5FEUFcrOtug0LuIWx9SF7y32E7jcERhKNxahdGKXpERRxkoxcH+EYP+gNl8KXYR9dVZsUJ/hRoob5XCKRdsHYCTB4OJDMpakiSTwX6asdnUoFxoLeVzlLZV4VVHWW6oqoqDgyF4R9068iwhihxtJ6LK4wcH3N1dc355znA4ZjAYkqRCEgRYXSw5PDwgz7MgRZD4JaMVVd2EOBol4Y9GTjRJGgc2cUfTdtRVhTYVNzc3TKfT3UarbWriOGZ5fUtZt8xnM7xJUMbgug4V4qybtt3RBrbXhLMW95UORIbtUnh04EWx/bG/CINkvJc+PmyntJKL+TcKSBicSgCd3w3xtv9wWf/Z3Zu11fDESUJvMA43k8Y11W4T1DlDrDW9Xo/nT05ZLRdorcn6I66vLhkPh8ymM/l7uY66KhGhnvCb41gc3M53IurrWlbWcT9bkiZ7O7BRF6DqOhx74ygRgZqK6KzMZtq2od/rUTeiB+qcmOjQgifFb2++gNEMK3EVyH27NlPJrMFbcRZHkdyoOIV1UDe1vIeETRWEuGBPVZZsSuG1xMbw0Ucf7LZcW7pjkiRsyjK0T4E55CXJ0neKRtXBPxST5xJCGEVRQDxE1E1HL43J85R+LsU00oqqXNO0lWwfI4PWEZ1tAUVkYnSSiVdMyZrae8doMBQzLZ75Yknd1mTZgPWmFJe9+cocJ7wkVJGvtFYyz5CSsG0htmMyE3hDnuFgyHK5xjvZiMZBlWuCyVWhKcuGXq9H6xW27ujKmuFkSGMbrPPEIU1jtZnjPHz5xSWD4ZjhsEea9VAqosh7WOtYrVbkeU4Zrtcojjg/PycKsT/LxZK6rhkM+hweHu4kJl3b7vxPTdNwd3dHlmVMZzOqTcm7iytWmxKlDLPliqaTk4x371ukrc1IWFZux8beGoC3a3KQBcJWghFF4grouu5rb/dvRNERfIXbFRMXjoHbbdVWt7NtT+JgYdCBmK8U5FlKmiQUvZ6kT3qYLZbUTYs2hslkQtdZbq+vADg8OSXOcrzt+Oj5E472hsxjxXy15pe/+AUvnj/l4HCfNI4ospSua1kuoD8Y8uWXnwMNs9mKfi+n7Tx5ERMnMU3T7Wj42hjaEEm8RVSkSUySJsRpRNd01JUkW1Z1ycnxIxarNff3U04fPaLpLLYVKp5kiMuTp21bqlr0HFtmjtYS/dJZR1XXO/iSiQxJnBAliTBpdigCQWlkWUac9YjjSLaEzqFx/PzPfk7TdSSptBbWduSZgNU2mzKIMjuRLOhtKocDr6makihKSJIcE8fUlcDZbNcSFymxTihSQ5oa1qs1y7rGOTm9RZGhsS2ZlhtZDiAihpSoX0XbdEwme2RZzvn5lfBlasnYGo0nvH13Qd12gbXKbwyL/T/0INZG7TY6tg15R17hncYYSAJHaTgY8rJ+iTYQR5pVJYNbG1TgVW0Z9Ad4BavlGtuIbWC52gi3WBmenDzh/PKM1suNbHJDpxuu7pZYFJGJODk84WB/DIjcoXYCme+CKfMXP/uFtK4B35ukKYvFnMlkQmQ0lXNsNhvqpubs3Tlt2/Dw4QldIwTD1glof7FaU1u/20YR3qpdMfFuFyUj0gC5U014wG23sd45bNtKB9KJVieL/wLMdJI45mh/DxQURR7gCDJ7mIyGpGkMKIajYQiTT1lvKg7291A4losFSsFoNGa9XocBa8Sf/uyXOAqSNOPBo8fcT+ccHYwxCu4WawyeBw8O+daLU375iz+jaUHpiDSSAefs/p48S5mMHtE0JU1dY2JHXuS8e3dJv9dnualQXpGlGYNey4qNJIZG71EUdV2LB0fpAPPSpHEGvhZAe5zQ1A3rzRLvoN/PyVLD5fk5q9WS1WrNer3BQWghhdmcZxlehXbTO9pOhptJmoUMcYGxt03Lppzz8OSEOM04ODzYKb+tCzqibe/uHcrD5GCfxWJJv8jwTtq1yXhEv5czXyzxIYrEfoXTgwpbR2vpsDhb4b0TRpGCIs359kfPOdrrM5/e09YVPrBe8BJb45F2u1NWkg28ANoULpDvPP1en0G/z6vXr+k6OZnI/ComzTLevf1E/k5G706E4aAsPw5hogwhYuT9TDBUJKUdSZKRJKlkaVkxt2aRbCKzoGtpWnHQz+YbBr2+kAOTjLR4r43x3mKijF6vx2qzom5bmqqlPx5itKUG+rlEQDfNgk0pNMCt7SZJUtbrFevlksVySRxJEbLWUlclaw2TyYS2bXbzG3noeLpOHuZpHDPtBLeC1cy9RRNwJM4FH91W2yWZ6Vu9WGw0cRQRRzoUPzEp51lGr8gZDPr0ez3yPMME0sL/9f/8H/3W+/0bUXQGvYJ/6S//SBIci0zUw41EuSaRRtkOQlys7gsGcpBFJDEkUcS42BfFZBSRmAITGb73gx8w6BXkRQ+nNNPK43TC40km+dHzFVkc8eGzx2jtiRJDWdZ03rK/N2E1n7Lc1Dw8PWWzqbDWE8UpbfjgVqs188WaIk/ZbFo2VUuWFbvee75c0etJS9DZljRNKMtakgecJ4ljOtsR5zFNLdEwdb2mV/R5/erXLOc3/O7v/nN8/tnnFHmGOTkkThJpNbS0WeiYV2/PaBpZP9/ezQEYDQfoKELDjrXsbIdTmrJzlNajwppT6pV4ljovTYUyhr3jh7z+/FNOHz7YCcniSHO0v8fZ5Y20fMqAciLYi+R4HxuJCvJdhw3RJlbJOjpNB2hl2WwWHB3tcXFxyXqzEiGbckhGlSaJ5DPWOsYoLZsUb3C+IU1Sjo4O+fSzz8VTlMh8I00y4jjDObidzoWh47dsZ3aDnbB7EMOn2X5fYTtCUZPvawfDXk6eJbjOsVmtybIsuN/r3ZwoihOiRtb3vaKgnN4TK00WR5LZpsB7zXg04ebmEnDERpMNC/LEU9WWWIvWq0hiNlXJerNiMBjvRgfeb9X2EcN+f7ded6H1kXZZcuKb0I6VmyVZloDyDAZ98I69A5EnzBdLXtQt4/EIE0WMRkPwwuXR2pDmBV1IH92bjHb6oLbraJqayXgYBtZSqEVVHjAkBFvE17y+EUUn0prTwz3akGFttMJmQs6Pw5Zlu1cQw7A4h7euaoJ601ov1DvlKYo8YELl18SxITaaJDGkaYx2LR9/8IRhL2M1v2c8mHB3+xrrNcPhgKZpGQ0K0pA9ZLQ8dZbLJVW15PRkTzgpccIwLaivp0SxQVUysK3D+llrTVM3+JBLJW7smDwt2JQrrIe6abGuRZuMu/s7RsMh0+m9+FgUkonUddTlho3z1E3Jel2xqSyz+QqvNFVVCSYiz2U1HvQ8znmUFg9SEsdUVmJsxI0O3nZYTNBhyJpbeUdeFAJVCwkM29jiByfHdD/9uXwmSoX2Vu2G2956fKTBtYERrFAmJg2841//6hMO9vvcXSecnj5iMZ+ilKBHhNG7NWa+ny1oAKWIlGF/vM/5xaWs6KMoFFVFZzu+9e0PePvugs46nJFfs7twtsuqr4x4vJNCI7EtgfUMGA+RhhfPn6K1YBzazgZDsX0vulRCHOjlKVFkKJuaNM/R3lHWS5Ikkow1rxiP+rw7e02extS1ZdDLwFuKQV/iXayjrFZ0nafcbHayhTju4b1499abDSgvUTEetJcZVK/XoypLUc43NbZraBsJOPjhD75P3TSsViuePH1CnguTp64qAc3lKf1eQVnWpFkmeVdxjLURqB62bfABABcZg8kyrN3OF7fbZP2V+atA3b7u9fW7rf+pXgoxYYYG3IdznkEHYaCWNZ7r6KynsY6u6bBNTdtIsoB3svYVbYboWooifa/m7RxdUzObr0jjiKP9CSf7I4zv6PcynO3w1nJ8MGHUz4iM59HpCUWes39wQJKmpKlEAzvbsSk3jCcD8iwhTSBPRfXc72VEgcXjnCM2kTwlwhYtiiOiKCIrcvF7eUgSLVsVJAvce896vebLLz7n5OQhnZUEBY9nf3+fo4MjHj48xcQpWX9AMRgx2dsjSsT7ZL0IIxtHMF62YuYzWm5UF5TJaDARETYY9WKMFryq0YrJeLhDOegQ0TIaDhgM+rsZ3DZ8DmSDJ6gJOZmgYuHoKugVBav1mqbrhEutZSP5+NFpCBVEThxOKsF7XKoPg3FPmuShtV4SxWqH+pEnq6Y/GPLu/IJOyU25NXBvFxTbobGJ32uavBfMBS78fmGLlSUp+/t7KJBc9CIPIk3ZJnbOUzc1KEVrO4yG2EDX1MFI2SOKcroOOc3EmUT/akUUKymagYogK2dpAxOTBLmEbO62sc3bXPSyaug6H+Ytoq/ZRlQbY+gVPSIT7ZAwm7Kiblpev3kj2rVQqIbjEXGSgJKHd1b0iZOcOEpCMGREmmaYOCXNCmnn81TmqQHHmqQZURSjjcFE0VfmrH8BZjpbyJZY4xFGR1hLblk4rRcsg3ZOgFiwy1py4UIFgt4k4u5uKi1M29I2llcvX7PeVPTjCYNezunJYchs0kQ6Ji9yjo8P2dsbc3d3y95kwt3tLZO9fYnDiSLW9Zp+v0/XronjiEQbmsYxX9REsUbRMchTvBUkhKhWZaW/ZaLg5c/sFX1AOLdRIPgrIMtymrYligy//vQTnj59wvPnT0EZ5vMlTejX37674OZuzmpT/sb7kOc5dSNEQMu2iIkpsqpqiGKyWIchqMc6BVqg7Z3zGBUC7pRn/+CI1WpDlsS7KJ00iZkM+0xncxlu+4hI+TCLcXgFiSc8zmSYkqbZ7vM1SmM7RdxLWC4XHB0dEyUxnS0FU6K8FHYl63ANbKNsR8MRq/WGum0F0Qn4cJo8PT3l6uqK6fQeu1VDhpcKWz7v1C7YwMTSMjjrgwlU7CJag/GKhw8O6Pd7uK7Ge8dwNOTpk8fMpvdsyhV5muBcFHxYIm3YbDYMeyNOTx7IBtI2RDoiTjL6/SFZPqSqJBFzO3fEBymIkm1RbS39fg+jdfgsg7NfKYqiCMUfklhuftHsWEngCLB1HU7lTefZVA3r9ZqmbqmbDs8GAh0gC/qjpu4o+qmwrkOumHNNEEPK4DiK4iAYVSSZeOWMMdS1LEK8s+g4xqPEKvQ1r39s0VFKZcB/D6Th6/8L7/3/Tin1HPgbwD7wx8C/5b1vlFIp8J8DvwvcAX/Ne//qa4sOYmSzzgmLhS5wOyQqRaPAW3zIWXJOOCrKRCRaVtI2HJ+VUsRG0zUVCuHuOAeLxZKtLDWJNK3ZKlA1Rkdkacbx8RHWOfr9vsR04KmqKnB3O9rOMr2/o6pLqqolSTXea7KswDklPTwRXikWqxWjfkLb1aQu28n0lTLi34livNfUbRNMhCllVZKmKVXVsD+ZsFgu+PWnn/Lk6Qtev3rDLz/5NfPFkkE/536+5vJuKScLJ4UsjiKOozjkQKmQnNqCF3/Ser1GJ5mkRjhP5xUacfYr77HK7Ji4tW3RUcz11QWHBxNwW6MtJEn8FWmCpetE+b51tjsnoW4qiDx7eU652YCX9pewk7LOcT+948mjx3z5+nORyVhH4y1pHIcBt0T6bKOZL27O0CakuDov72eU8OTZC/7m3/p9JHcUdkE5avd/u+GxSCDklKP0dsijUF4Gz70s4fnzJ8TG01hI04y6rri/v2d/f5+RHTJbzIkiTdM2DLWiax1pJrqb6fSaqt6ID1DJcWx/f4/Tk8fc311xfX+JUlDVFWBJo4TWtrRdK3KRoKMSjUxwbgdXf1NXZGkmuhknc6tt2KCs+yVWRitF0zR89tkXpGlKXvR59eoNzlmOj44ZDgekmTzUI2MCz3q7IQ0kSC+tk4kiurYGJd6qru1kK6w6WUAowERoE+2Etv9URQeogb/qvV8ppWLgf1BK/VfAvwv8B977v6GU+k+Afxv4j8N/p977D5VS/wbw7wN/7ev+AAUUcUJtwuDNCRNXKRPWeJrIaKwWn4lvGxrrhNXiFRaNU0HKjTBfF3f3WKCfZ6xrOTk47ymymCJLRTTlFc4bjNLsHxyGlsEJJ7ltyYucOJYn6ma9Yblc47w4xa+ulvQGlslozGQ8Js8aZstbvPXUTYNSBuct682KLO9RVxVC+OuCPkaKnY5FIrBYLEmTlCSKSeKU6XxOv9fj9etXnJ4+4vBwjx/F3+O//x/+LnUjbaZsMIKhM1wsTdcS2RhtofOiD+raDo2j3Gzoqo7Lq9vgRnZUHdRVietkpd1ts8G9JTVQxFBVDdssbw08Pj3h9bsL6kYEad6LTkqbLV/FYZ2st+UUJ1G0YhsQzEZZbwKfueFwf8KwP6CzjZwAOotzXfj8RQeSpQnWtlRVHXLOEdOv9wwGA9brivv7ubwX241U2FptB6H/8OpcRyHObDsUxRKheHRyzPHBBG0MRVHgPdze3QQB55S6rnl3fsX3v/cRSnk2bY11Aj+/ur0gSyO2UdhJlBDHhroqefvmJc+ePWNTl9zP50Jw9B2xkRvcmIiuC4U0joM49r0J1eMpir6MAsKAqm07tDYBOwH9Xp+NrojThDKcgr2PSNOc2ewerT0vXrzAhvBCOdUIKqRDWEXOq0Av8IEbJMUGT4jnUeHPVNR1R9N0QXgqaS3O/lMykr00w6vw3Tj8zwN/Ffg3w4//deDfQ4rOvx6+DfBfAP+hUkp5//Xlz3lPHNgdJny/ah2L9QbnhETXdh3KWUb9jKPDg92as1EyOd8qmbeSfxF7OWI8T48nvLm8pUjFn+I7ST0Q6LgwZspyQ1WWTPb2aMuSxHrarqIoeiRpxuzdOVpplgtxpbeN5+5+zmgofJGi12M5Xwn8SEWgPcvVkvH4iNlsRq/fF35PEAdmaY/F6j7cFI4oiaibBhMZvJY7oyxL/vRP/4Qf//gvoXF899vf4rMvXslxVvmgQvbBIAs4S1tXggBVnthE9LOcODL085R11TC9vsLEMWkSMUoS4v6ACJkBdF2HDZjKNI52pwal3it5Hz48IYoiqqZF8d71DwrXdgH6FEyEURSc8hApRa9ISRKNLNWEMXR1fcWDBw/58uXnKA1xFO1Oam1riUxMPwTLxZGkcr6fG2mePf+Qn/3Zz2lsyzbB0od5hw/zII8MfbcgL2W26mwF4XSkned4f8IPv/8d4shIAF1oczabDZ0VKsG78yvyIqXrhI+dxDFVVb4PLwzVTSklkTfOUlVrOlvy7t0XfPDsY7rPfs26KumciD+NMSQm3m3PtogRY7Y5Vo48TcFbISZq8aVtBafWObrOMhj0aNuWyWSM8pa6rWjqkrrcMJ5MePL4lDwX3k5MwnR6D8BgMEAbeYB5H2xH4bTTdbKN2mrC8IgjPYBPrPPBeiNbZ/s/huFTKWWQFupD4D8CvgBm3vut9PAdcBq+fQq8BfDed0qpOdKC3f5Dv+e/A/w7AIcHB2S9gkibnSemtZbPP/2M6/sFW5c5eJI44vD4Y/mHak1jHVGS4VyF9YIj6GzNupQtQNe2NNZSNRJK9ubdBcN+LpN4I5zfrTXBmIgsyyk34g6/u58JdW1d0rUNkQQmYiJFvWyw3jLo9dlUK1Qt6RCia5ATWhpLJG5ZbdALzXA0YhNAWHVd0+v3WKzuQCnSPBPToYPOW6JYsakruUmU4bPPvuDx48dMDh4wnOxxeXVLG05jdSny9l6vx+HhAUmYEUVbJo1zQTMiRD/ZKonQSy4QFUx9Hu8NSuehoGuqqsZ2HVGUBuGcGFWHw74oW/W2jVE7cZ/YKETclsURzrYYJQPzvIixtt2tyT2eKtwUB3v73E5v6KwnNSmdkwIm26+Ui+sztI5JolRsJ9ZxdHgiM67zC5xyoXwA1oUtnQrK5PdCHW1kPojVGONxTp72RaT50fe/Q6Q8bdvQ6w8CMtayXq9om467+zldJ45srdTO4S5UyIjVZoNWcXB8C5ZEhcF4kghsbjq95cmjp/z680/EQ4iRLC9l0DoRnVUs2eRboFrXycxNtFQtTdNSljUPHj4EpXj39hxtDOPxKBRYx3A8IYljprMlt7e3RHGG9ZqqblA6JksjhqNxMCcDSoW236OUbCXbtqXrLCbSiDDeY8IcSgX/XWQ0ZVmzWq+ZzWZCKfynLTreewv8WCk1Bv7vwLf/SX7dP+b3/E+B/xTg6dNnPu8N6NqGdrOhamS+o5zlcG9IFMcoRNuS5Tl39zMuq5Io0mLzD0Pa9WZDZLY/Fgmj1jmSJGXv4ICH+/v89Kc/pawqbNfx8PETsizdGdS2hL84TiTG163Y39/HGMNsekeRaT779Fco5Tg46Ic3XjYNUZQE9kyE0Y4kSimKlLZtWMzn4ecNcZKgtPydB4M+Z+cuHKMVSRqDFoyDuHdFg+G8Z7lccXZ+xWRvn6OjB+zvH+JRpLGwU1QAmKVpCk5oeyb02M7pcITWIeJG/QZoaXsBqZ2ILgw/lApFT4UjtazTrfM8Pn3I+cVNGCZ7tJc2SGsFzoYULbm5XVsTR5phLyPSQlTcuu1VkNXf3l9zdPiAY/OA+XxO1ZQYbYiTmP3JPrd3N++vnbCWjYBHT57yB3/wEyorw+ftycwrHZ7YAmwnaIUgvD3BlOW9aJQybfjed7/FYFBwdX2BMZoPR2O896xWK8qqBjyr5Zo8L4BtdLKWNFbnaW0nOV5J6ckcSAAAwLFJREFUvBPl1W1DFnvqakORF9RVyXx+z6A3lJsWgw5po2Vd0XVhFBDmVQKDtzRNzcX5GVUtA1xrHWma7DRtF5dXnD46RWkZ7lZ1y2q1lmvIQVU3XN/ccn59yz/z4++xXm3I8hSlDO3OMC3i063exntBewiNUlT+bVOHQMYYHYklI9KSGVZXJVVV7RT5v+31/9P2yns/U0r9TeD3gLFSKgqnnUfAWfiyM+Ax8E7JHTlCBsq/9VXVLX//zz7F2ZZYq932ZnJ4iHeepqlomoY4Fo+Isx0OxXSxIk0SNk0L3jGeTOj3pRj0AppiMOgFH1DOxdU1jx49RpuIPI3JslRwjEr6/n6RyUwDxWZTMplMSJKErm1CaFrCcDRgVc7oFRlRnLBcldgW2qqhyDM2ZY1rO/L+gEHRY1Nq6rLEaLXjQHddTZ5nlJW4g7X21HXHpq7kJu4sWZ4LBrTtWMxnvHj+gi++fMunn3/JX/qdH1P0+mFYaNnmoisFbSMpCd7LoFESd8NwEikoSRLRhOyocM8TbcFnwXi4NfZFkQSo7fLFEIVtYpTEyfqtwle+xipJDI205IRHRtN1iJygiDBG4awOCZ0WFUnR1koxnd6TZRmPTh/tJAJaG+6nd5RliTEpTWvDvEHx4oOPWCyWXNzcYrVsLiFsqMJYQW/X7k79RsS23+IDrSP18OLpKY9Pjzl79xbvLD/84Q92w/Kmbem6RnCtIfnCO5lRWdvStm1Y9SuiMPQFS2c7yWtDsSrXpHHColui0JR1DQ6SUBDjKKZuHG2zZSSJyZXtoNZL2GDTyCkxjL9RYav14YcvSGKx4ZRlRVlWLFdrpnPxE548eBBa3JjpdMbV9Q39fg8dpbuYJ9uJKVmFk3qcJFKoA9CtDT/vnCOJFOVyzXoliadlWYpyPRKq5Ne9/km2V4dAGwpODvyryHD4bwL/K2SD9b8B/h/hl/yX4ft/L/z8f/ePm+d4YLpYcX9/t8N7CutWBlhVoOpLcdCMBwP6RRboeg4XODp2uWBdV/zVv/JXyLIkqCSlYHg0R0f7VFXLYimYx8goWf1FJgx+g0iDwIANPpay3Eh4W+hxsyxltqjouiWT0YBFWdPULU0rAX39fo/hoGC13pDnkl/UtS3lZh2e0prBYMh8cUYSZ1TNGqVExm+0putarOuIY8PTp0+ZjEaSyvDkIZ9/9oo//uM/5gc/+CHjyV6AWslN6/175o4LitXtJmJHjdOaOJaMJq2hquoAF/ekaR5WpEHXopQkjEbvM6Ic0loc7O+RJkLUkyGsrJtt53YbrCRNSJIE11SMRz1MFJ6YoX2S911a5s46Yf1UJZtSrCxiHNxqd8D4mCLLBW4+GNAfjPhv/7u/zXaC4MJn56yXobaY4cMA+f1AVqHwVoh9sdecnhzy/e99m4uzd2xWa37wg+/Jmr9t0Upxf39H29bMlwvhcXtPf5CzqSuatqGqawZFnziWtbcP9pA45NeDbIXqtpUIZa8lRjvr0bZr8B2NdVSVJ88GJElKHCfCt2masPEj3A8yQJd/nCxOjDaCNlEy+8yyTPLl45jISEHoFwVJrPjgo49R3vLjH30/UCYBpXj1+h1/5w//mKZt6DrhI8l8VN4zo1RIc/1NYqeHnf9RTkcEdvJvf/2TnHROgL8e5joa+L957/+fSqlfAn9DKfW/B/4E+M/C1/9nwP9FKfU5cA/8G/+4P6AsS/7e3/vDIEcIffe2Z9SyGt8WHK0kxfNgMkQraNuaXlFAChvncAv4+S8/4cMXzxhPxjSN5er6mvFkL7QbQcnq3g9fDeAbUXO2naWqailUARiVJhF5ntN2Nb3+GGMM9/ef0isSNpuGQb/HNGSHx8bQyzRpbLBtC7nMNqxzTGdzDg4Osc7RtkLom+ztcXYu3rG62aC1YW8y4fnTZwwGA7I0oyw3/Mmf/pTBYMTpo2Pevbvm57/4JcPhmG9962OyNKap210L5RO3m1dth3pbB3XbdgEs5YgicWynIQnCGCMzsS2HSGtxuXcdzurdFsjZjsODPfpFLk9swCiHUbEI85z4CxRglGc0LOj3Euq2RBuPD0ybrT5rO9AVjZWczFxwPTsvSaHC0REHfZ4VfPzRt/iDP/xDlpsNzss2UE45olfxXkvKqpdVuVLgOlnhmyiYPL1nNBrwu3/px0Qa1psNT54+YTQeh7bUsVytub25pe0sm7KhyGLiWDMaFGzqDV2rSKJCdE8hfUIQLFHYpooqupf3eXtxRhKJ7261XvL40WO+fPUZWsvJLEkkFMAYubnbVpJBm6aR4laWJEkiD2CU+PVWaw72D1iuVozHI/IsY71eg0aUyW1FUaSMRgMuzs/p5QlNU5HERh6SocVMY2EFtVZRNSJI3E6N40j0O14p7Fd0OV14WMG2LZdiZP0/JU/He/9nwO/8OT/+JfDP/Tk/XgH/63/c7/sbv8YJKW4bo7Jl6GgtGgHtBALlTYQyml6vCEzelqazaGNRrWM+XxLFCa/enjGe7KO14e3ZGaCJyoamXXN1eY0xmtWmBBRt58KiXQrQupTESKXer38P9yakcYJz4rrWvuPxwxOUEkf35fUd63WDQjF8cECRRWgjVoTNek2WZqFYrojjE3zwzkgQW8aF0eRxwnDQ5/DomKPDh/T6fXlf6orPvvyM1WbGbLHkwdERH334lE8/+xKtHNdXFzw4eSiDTL4KspcD+M4Ho7zYRwgO4RDs7QlkQf8+rM0roRYq6+WY7yxN2wbjrVgTIqWZTMbcTBeio9mZJeXE49DSPsQR434GqsZEmswkVE0VLlg5pTV+G18iqQ062DK8EuyGOA4iUdpax+mTp9zdTbm4ndLg35MBkV5PcNl+x/DVWtboykhmirNS6IyyfPdbH5BnCXXT8NGHHzAc9ATlEK6/q6tLwIZtkqKsakbjHI+TB8lizWg4wHkplJExslCIU6yTzVVsEkwUy6xOx1Rth/UNE6VIkozONqw3G9IoJstyNpuS0Xi8sx7YtpGHsNFkWYLtpBhu75e9/Qn9QY/VSuwTcRSTJhmTyVjsP7HZ+aPmi4W4zrsO76x448L8UCnpLnxZsYXhxVGI4/aeut7gnCcJa/aqKtkyrgQjI8uGpq6+9n7/RiiS31fL8HQMDmkfNi/oEISnPGkiGU3OO1rriKKUznmqTYXXEaiYxmo+e3XOF6/eCLVfG+zrC2aLBc6/J/gPBoOdRH4Lem9D1AwIoFzHGa3zRGlKLxvgbEsVC9Dr7bvX9HLDR88HeK+4vr0nSWKcdUGroAL+s6ParOkNhoAcj5um5eBgn65t+e7H3+PwYJ/Dg32azlNVNfP5ktFoSJZlOOuYDPe4ny2CWHHJs6envH17Qb/X5/XrNzx58kg+dNeFWcQ2rdHt1px+O2jdrrMDEM3jd4Q/byVMDyUtqwaUjmg7YSU7Bc4Jx+jJ48d88fpd0B+BQmT+tpV1vjEJJw8O8N2GumlI4+C8jqR11QqaxoPfDvJlhY52GAN1Y/FWbDBFXhDHCcP9Eb3BmP/6v/mb2K4Np7H363ylZa4ix3wVhIRhkLxzloN2cPrwhOPDA9qqpKxr9scjjJGBvIkiZtN7pve3KBRtJy160etR5KmYeCMjJ59IRHZxFLGp3vvVwJOnBXt7x9zd3+1SR40G7yzv3r7m44+/xWeff0FshEY4HI0oilx0T0q+brVa09QNsTG0tcDTkzjGKU2apqyWq8DBttS1LB56RcHx0QHWNiE1VgssrGmpq4YsS9kaNj2Bne3F7zUY9NmUJV3XSiSTkbW+JrjRtaJIC8qqkm0XnrZpaOoa6yxN8xeAp/PVTG4TRcRJiviUEqI4IY4MaZqQhHD52kq7kPVHOx9IMRhLQoGHOM3oOkE7Wq8wYZsxmYxBx/hAJ9wFvYcnBsj2x1oBIOVFIYKtMAtJkjhI6XMAxpNjnG1Zrzc0dUUvz8PRN3yISpOlMVmWCHYi0PTiNCXPMwmzG/Q5OtwXCToKsMwXa6qqYjyZEJuIg4NjZtN7fnj6lPlywf39LYPhgMPjCVW9IUlSNus1SdfR7/VBGzSBwYPcEBZN13R0bSNIhEYIdFW52eFBt9u7zspGBIVsiaII5zp++P1vh7fL4L2lyAV90Lbif0uMQU5CUtwm/ZzD/TEX51NQnrYLw2GlUXobXyIPFxOLKdQ5xMUdHgxy68qfl+UFRyeP+Nt/++9QNi3OmJ0ORxtRHW8L6nYYu7vGtkrBMJTN45gf/+h7JEnEajknjiLSLA2XgiiNv3z5hcCwuga8I4nh8cMxaapFi9RZJqN+aE21RN6g6DpPozqiOOLkwSPKWrQrxsQkkVQ+pUUV/e7dO04ePGTQW1OWDaPROOhu2OVNlWXJYrmkLEuyLKfrpLj7wCderVa8ffuOg8NDIQwE6QKh+DRNzd7+IV9++QprHb1eIV5AxAO27Sw8opHKslxEp96TJklAbrSi4QqbtF6/x2g4ZL1e0+3geYDS72ULv+X1jSg6xmiK/oAoFv9HlmVy0WlNHMfEsZDmjJEjuEZ4vnjhAUdaeufWekErAOV6hdKE7ZMI+opej6yI0UkiEnLXysZDyelHNjMytIzimLauaZV4UG7uZ7RVKXYMZ4kT2UrULXgVU9UbbCsXrIl0CLIT1KRzItKrypKb9orHT5/R7xU0jfjCiAWbUTc1L1++5N3bt4zGAz764CnGGL77ne/y7u1buq7hID3i5vaG9Vq4Kbbz7B884MsvvuCDDz/kfH6OiaQNcV4GghrZnKVpKn6eug3OdplB5CHJU2mIjcy7zi4uJcM8KHrzPKOqavE8hdlbmhgGvYz7mbSkIvqV9zKNPMN+jFGBKuglh1wc1TIgjowhsMzR2tN1Wze+TCUjnUhaqZZt5PMXL/jDP/opt/MFDskkJ0D5BVy/kxIF3KosBpw1KB0c0Qig6vHpMUWWopRIJIoiF5mElQLxxedfYK2oc6UVTniU7hPHUNa1hCCGB0vT1GirUIEgmMSek+NT+v0eNze3bKoVRimSSDZ8re3QSvhHF5f3XF7e8/DBgx0ZYetfko1nt5vQxuGkuEOGBolEFCcorcl7PVCKotej3KzBW/BGCACwO92ABFR2XUusYmwnKatGKQkv9BLcZ414uGJj6Iyc3nwQBDq3tVcHomDwfbnt5/c1r29E0VFK79yr2kj2toljOepGUQgdew9qt13FcDxkudpQVQ1pEtO2lk1jQ6a5ITGKfp7hZZVC0e+jlGa5XO5k70kSvzenebm4HaIrkaGak6O7tVRVA0UAOqk45B813N1N5aLs91ivPHW5kUzt8PuJwMphtGe1WjIaj5E4ESmu1lriJOX6+pKf//Jnsn/xEsNSlWsGA8muPjg84PrqCu8cx4dH/OKTT+j1+4yGA+6nNzx6+IgPXjyl6yxXN/fc393y7uyCvcmEwaD3laKN4D60YrFco/C4rqPX75PnGVtUwnpTcXM3FZBTHDMcj5nN5uQnRyFRE/b39tgf9lkvl+RJTJLEtF3HoNenVxiSWJ5+cWRwTiBd8nkr2k5MqXEsiZ0eh9HRbsNW1bWkTnjDYDDi44+/w5/86S94/e4Mi5fBZmgP1I4Q6AMTI2wIRAgk41wd1uYO+knKRx98gMGzWq6Ik5isKHbappcvX3N7d493kqOltBALCiXQLqmJnqbtiKJE/v6B7jgcDNnfO6RrO26ub6jrNQqLR25MybQQy8r2uo+jiOlsTpKkPH6iwwlb5CHWOuaLBdPplC3XaLvVCxcyznY8evRoNxdz1tIfDImM5t27N6xWK8bjfTyw2awD7F+xTa0lxCRprQLuVhTcMpC3dN7s/mwQX916vRbpQNjUbSeE283p172+EUVHDHgeHevdUNnajtbIMbzRmrQOA14ETXp7N9/1ovPFiuVqhXWQFz2SJCYbDqlaF/ABcsHXdUWaSmb5VkkqyRI+fIbibNdpgonT3Y+5riPLUqxXDPtDjJaCkiQxFxcXsuYOCALnwbfydE9TgZInsUJrT1mt6dshq+WKXn8gnigj4r7bu1tWqzlRHHNyeIIxMdfXN5LcoKEoelKQXUu/P6ToFWyqNSdHR6RJwtX1Gb/+NOLjD7/Nk0cPODnex3t4+fI193cRR8dHHB8fkqYJeZ7RNqKFStKE2WzBdL7kfraUYW+yYjQeczudyyDfRPT7fepazKlWeXmK4vjgxVPyVKOM5Lwvl0v2xqlYHOiwtt21H3UnR/pIR6hYWDzOe2pbkXhx12i9Ta9QGAN51uejj7/Dn/38Uz75/CUCdNi+5GijldvNarYnHlCi4MXjtIVOtpQJmmF/wN5kjFZBYBfMsm3b8eb1a84vLqQFrWvmiwVae/r9fbquZVVWjPpD0ed0HWXdYlRM23TsTfY4ffiEi/MzmrYhMircmNJytl1L2XQ7iULbQhrnmEiOe3EchYLi5SbXktC5KSuaVnRidVWLKtlaiVc2mqZpmM2X7O3tgZMRRBzJTChLNNEwA78djhts11IUfYzdxhw15FkqcLrGBQC7WFm6zqG0aL600mjlpauoNqKaDnNQFRAnkdYS8fM1r29E0QFEY9A0gckRvDUqJjEyfY8S4XZo5Gk2WyyII0OS5kynM7JEiZgv7xFFCShhJGulGAyG4anRYUwuWIDAXPbey5MzDE2t7fAoutaSROJgv7+9YXF3he8avv3xR/zg+98lMlC6jn6vkDW0lQFaHbwnTdMyHmmSSNO0AkLvZTlN0zCd3nNwdEjXtfR6wpnJkpTxcMj97IbpbMrBwTGL5ZL1phaWi/f0en3Oz8+5vr2iXxQ41/Ly3UsePTjlYG+Ps7evubu948MPP+bhw4f84PvfYX9fmMHv3r1jPl/w8OGxJA0ozdHhBK1lI6IwXN/eAopysyHPcrL0fSaWDEfZPdV8GJIfHx+xXNzSdBXz+Yb9vSFpanBOEgSatqPt5H+RlqGw0eIQr9qWWBv6RZ84EiRtF4DyWkUMh2NefPht/uxnn/CrT78U4SFbMJkObcd2QuzeD4yVAa/QWmiEzskq3smajsl4KMzgtgLv6BXC1f7000+ZTqfYYNqdzuYsVkuePD6g7VpuZ3PyJGOxXoeIXvFzoWBvvMejh6ecnb0TyQECvkfJzdoGfnXXdGKSDYXKKUuqhBw46A8AOf1tmdrrtYjvJuMhbdvSGw53QDVjzE5SMV8s2T84FOiZkcCAJIkZjvb44vPPGe/LQ9EDSZpJK+qVyBBwEvAXxXSb9fv0XLZQfsJn48LJSFq8rm2FUGklgZXQjRR5/rW3+jem6GxNgzqInLJMTgnKRHgT06HJECGUU4o0k2gYwrfresNytWYYp3Jc1FryhgIAK45j+n0xWlrvwIkWqLN2p7bdtnDWOSINxls6Z2mqkqariIzh7bt3fPtbH5IkGVmWY6KIsqpJ05xNfcPt7XRHfRNYvAgc4zim6GUsV2sGgwG3V5ecPHxIFMUUeUGW5xwfnTKbz1mulkwm++Ajvnz5JUeHhxweHTEcDvnFL3/O3mSf+OCQi8szZosZ0/kM6xzHRw+4uLrgT//sJ9xcPeTR4ye8ePGMx4+fcHNzzdt357x6/Y4kSRgOBkz2xhIBY6Tvn4yHDIKie1O1nJ1fgTbEkRzZB4M+KswbXFAUQzDnVjVaK9JMWiR5UirqugEMScA3bFtbjQrOdOFLd50E01knBs/9gyNOHz3jj//kZ3z5+i2tEg3xVsy2JSMqFbZfarvB8oAFn6CUD6rmcI05aSufPjklTWOyLMZ2HWVV8dkXX7BaLGlsg8KwWZdMZwvGkz5JknBzP2cLcPddi3Va4ox1jFaK4wcPuLi8lI3adkboQSFztV18i/K7yGKlNFVdEZkeeEd/MJTVcxxLPHEnnq/FYkldVRLA2An2JU232eOGumkEJhdW43VdkSQ9ms6zXNfIMkkSPkUOotlsKrJUgi2383WtCEPq9yEIzr+3w2itAp1T5ASdtaRpKupxp8Kpc8t6+O2vb0zR2WoOtJabtGla0QzY4NzVCh/ctFEUYcKGq7OinSl6fUwUo4IrV7ZR8uZUlQjYtnnpW7XtLiQs+IokC0pmTAq5abQx7E1G0KZ0dUm/V0hPH8x3cZzQditmiyXn13dsyopIQ+wS1mUT5iSW1Xoj+FSlaeuatTZs/S1xkjAYjlguF0zG+1xcXbJcLRj0x5y9fk0Sxzx48ACTxPzg+z/g+uaGrms5PHxAWTfMZlNmsyWr9YpHJw/ZlBsury55c/aW8XhMnhWMRnt8++MXPHnymKura87OL7gNsLI0Tej1egyHQ1n/KkUae8bjIetygwGePX5I11SsVisGwz5bB3Lb1pL3NV+ztzcI4C1NualJ4igwpXPW6wW491vKOOivQJ6k1nmst8RxytHxCXt7J/zBH/0J784uaLz/SnCekvzvr84qd3D1r24jZfYSDFii5UEzHI44PDwgTSOctdze3vLq9Wuapg5co4iqqliuV8RxRp6nrKuSurGMhn1ZYxu18/Q1TcfDxw8pNxXWtni/1bsYrN3C6y11E6JefIRSliQxdI3CGY0y4jFLUiHzbRcmdSdxQBJ9FOgJVpTehFBEgIN9UaZ7HLd3U169fMmPfvxD+r0eJop59OjxTsJR1xK6F8exKL3DQyAKIY0mimCLYt0q073A3bZ56gov95ITEFmcpDhfi+fOeaz9H9F79f/XlxLPikfmKkHlHdzIBuMd3suQy3YdKoowIm2j6zryPActjBpjviqC8wFDURPHEdY6TJyGHvW9klK4I7I2NEp8KHFY2Q+HI3LTJ00iJpM9ANZlFdaJGbP5ktdnFyzXpRx7UTRdx6qsGNQ5WkU03jGbz8nilKquKHp9uYEH4m7v9/okScpgOOF2esvd/Z2s55GExrbtSBLD3t4+q03JarlEaTkV2M5TZCmbas7ZZceLxx+QRAnz5ZTNesVmvebu7pp3714x2Tvggw8+5tvf+pC7+xmvX71msVgync7J8ruAIx3gnOdob8T5Zc1oOODwYMLN9Q139zOGo1GApYtnSCvNoF+Qp9vtiiJNU7rW0raW8Xif9WaFdS1Gp3RdR5bluLbEe0dVS2pEnvV4/PgFSdbnb/3+H3A7ndF5j/1KgXFWPqftvG1roSLwlNgWJ/9+fc72ekAQrM5J0sTNzQ1ffvlS2h08aRpTlhvKumG9qdnbG0txwjIc9EnjCGcl0E5c5A5rZU6ymM+k4OhtQRTnuSjAPdPZkkEvDwF6EWCQ+1vkBUXRQ2tN0esjbdvWspKKlcaKmLKqO5arabjWDCcnJ/SKXNTkHt6enbEua0l2BfYmI+aLJZ3tpC12cv9sBX0SVtlRN3Iax4u5WKw4fpcn1zongDclqk2tDK131HWD0hHWNYDMkr46dfvzXt+MorO9qNT2xBHmgiFHW+MwWo6TSmt0ZGQlrGSlV/otU0b4Mp21RF7Efc6JWtZqLWFtxqD91rei6ZxFWfmzrQ/FR4mNQBlDFkcUacb3PnqyW+V7rzg7O+fw6JBff/oFv/r0M5yWdqosKzqlSMxWFi84TNEEaVnFNw1VXXJ9dS0cE+WJkojDw0Ocg+FgxGw+RWt4dHpKHGnKckMUDVAKwXYuFgHgBYNBj6IwrEpHWTb8+stPOT15yMnRA+aLWRBFyk3w5u0r7u5uiEzE0dExH334hOFwhLWe2XzO9c0dV1fXzGdz0Eb+rpsNf/z3/5isyFku1pyenuySQbumYW9vD6M9cST9flm1NHVHv9ejLCtx2CtDZFJc2Bpe396iNPQL0cbEaZ/v/+B3ubi84f/zt/5b1m1Hq7a6mlBJ2GbWC6lQtDluh9eQ60O+7bYK669cYgrI0oQkjlhvNlxcXEicS9cBEu/svJf0D+dIUkUcKaxV1HTgDatNSZwYmsZitGZ/7wDnfCA4WlFEaYdrOtIklVws1zEcFdSVKJWTJGNTbTAqpt/PqcqaNEuwtiMNmVFRnLBaLri7u6Wqa9KAjBWldozXYunQSYZDESnROz04Pg6LhRt84DHdT2d8+MELXLg3Lq9uSLOMyXiIiSIZP2jxDLbtJU3bBT6VzKKs88Hn6AOKw0IIaOysFNnYSJgl6jd1d3/e6xtRdPSWJu+3Qyv/lRWdeq8aDl8gXyKRKcp5iUxtLQ5hxcZxjNeapm1pqkou6vDmLuYLBqMhSd4LTmlDZ0N2OkEN7QO/xzucbZmMJniPaB+CRaBpGn7y9/8+b9+9Y/9gTK+f0FUdMOLydibelM4GQ2RHnsWs1yVJHBNHEeV6Q5oVrFcrxuMxxmgm4wllWfPwwSNW6xWz2T3D/gBn4OLyiqI/AO8pih79wYC3b98yGvY5Ohhzc3dDkeQ0WlrJ27tL5nHC6dEj0qRgXW3YlCW9LMd1HVVbc3b2Ja/ffE6RD0jTjDiKOTx6wGTU49vf+oCiKERoqEJ8s3O8evma2Wwe+DGGNMs4PX2I7SrwFaBpG0+vF9O0LcZohoM+lyjZRJYlLoro5QUo8RY9f/Yxw9EBf/fv/n3OLq9Z2y7obASjuZNUI4eWHRpWBg/InCKUmK0y+avCwO12WXtMLDlaWwFo0wi0Xrx1QnyczlfEUUZkdPB7efLEMF+uw2xD03WWop9yenLC1fUZaWIoqwYJ6nPEURrwo+Iza9Y1q3VJf2iwtdh6XCdUgCzLGY3HckqOopDG0HF9c8tysRDTrHNUYYuVJBndqsREgqHI+0NsJzHDjx4es1otuby8pK6FzrDalDx+/BjnPFme09QVUZzQtB6amrJqWJeCtXXeocOMr2kr6loG1lptc8GkMxgMZJupEFaSCq2vNoZt9vlve30jio4M+0S6D35XZJw0+6gooUGROoc3cqzV3rNeLemsZTgY4ulYLhYMhwMSY+hshwtrT+8cw+EwzG80VVljvaJCRGSSfpmw5StvLyyjPDhLkUlKpQ6xKHXT8sknvwwycUekPOPekGw/4/buntR4Kgeds8yXK3wvp9/L0VpcwHmeUdXSqy/mCwbDMdp5tDEMh0PWqxWH+0dcXL7j5vaa4+OH1HXL27fvODl5QJrE7O/tMRwO6Pf7REZTN47lcooHOteFU1bFq3dvOD58yN54H63nOCuqZOcdedqnbdfUdclytSCJIxaLKaB3G4yusxwdPeR73/seWZrwwx/9EGMkJshZi7MtF+fv6OUpVdXivBf/klNUteSFtW1Hfzhms1kLp1lLsNtkss/po2cs1xX/7//mb7FYLOi8B+2woZjsak5IeECJMPQ9A/kfFaIpvRtLhMG1CgNnFWYOluvrGxH2dQ1pGnLDdUjstJYoE6W70RofRazLDda19POCum5Fzd3UREbTNJVEIRsViHuw3aaJXUfat9F4hPeSmJHEaYiYESRqHMtcLY4F9FWWJcvFAvBs1mtRGIf3oygK8k1N3VpwVqQgIb01TVOOjw54VZaiYcsT1nf3fPrpZzw4fgAozs/OiLMpzkLrxD9orRUBo3LoLKKfyXwuSWLSyBDFMjBHyecexxFFnlMUOb0il6RYI0Uzigz/+f/p//hb7/dvRNGRJ2nwSHUtznbESYrtLE6JXkBHDhuIZTL/EQ9PHHQQURQxHk9ou4a76ZRtXnmeZyRxjLXyNcOhbAicjkLPHJNFmtb59yJEEzEZ9ki042hvxKOT/SAwi9hsKn71x3/EYnXHZDzmdHBAWVbc3d0zHPfJ0piHD0fMZiWX1zOZDYVCmaYpZd3gFguMjri7vcOYhPv7KfsH++SpZjDosegPOD484X52x2w5oz8Ykefwi5+/Bud48vQx/V7Bj378O7x98xrnHHuTPeq65vr2nqIXE2kd2hDL/fSevMgYDvoYpZjOZGbVti2rTUkaxyRpRNU2dNaHjUgVWhnDer3EWstiuWAyntCFG/3q8oLjo0MJZmsqYPu5GGI03gvfZTafk6YxVenZ3xsTxRmPHz8BDD/5Bz/jzbt3NGFWIFtwWYdL+J0Kp9CvzAm2o5ut3SF8e/vyXjLct4NSAk9I1u0inahr+ffFJiYvBGMRZ2nY/MgNHHp8vHOUVcWgJ9vK5arEtZqsl9C0DUYZqroOc56AEo2EHrhYLYKlR9jcddMG7rEIWW1nGY9HOGvJsnyHtKjKCmsdcZyKbUQhgj4s3//B9/hRkjGdL0k1uK4Ry0TnUEpzcvKAq6trpqH9zWJN19TUTcXLL79kOOjz5OCIyWRMlsvIoKpqjDH8zo++i3chpSSkycZxEt5Xga7XtRARhUUV5k/bnHPvdjPV3/b6RhQdFaqn72xQ6wqSoXNeXK4hitHpiDQc5SIjKsmyklV2nkt0i+s60jyXyF0vbdD97R1Fr09/0Ge1XrHZVOwfHhElGV6Jmc8pYZRYPIWJ6RUJNBUPj/eIwlF9Op/zq08+oSo3nBztM1+sMDqhrDY0TQNOcI/5IKLIE7I84dXrG5ZlRTyd8uDBR7Sd4+ryisFgQJJErNdrovs79vf3dubM8UROBY9PHvHFmy+5uL5gb7RH3Wy4vrnk9PQEFRkG/R4HBweir1GKPC/QSpOlOco7OtcQJYbGrqnna+bLW5Io4eTwlCgyTOdzJkoGl9ZanAUbnDNGR/K+K8VoNCJJU25vbznYP0QpKWaj4QC84/DoiPOzV3gla2GFx/mOJNb0igFVueb4+BiN5sHJKa2Dn/70Z7x5d0HdNnReyXZK5J67SiLLrSD53wk4//zTzftrSYqVleEc4FF6i/cQwH6SZDIr1JJsYTvxSRkt3OU0iWkax3S+Js+GeKXJs5w8y2kdoDS9QS948iJWZUOexSg0cRROaCiaVopBL86pm47FYiVgLGNQ3obBekGSSH5UHMdh9ie0wuVqSVWVaCUrk3JTkWRiBsV7zFYsW+S0TYvSmvl8SpIkjEYDFCc41zEZ9zg5ecx0tmDYy1iuNzw8fcho2Mdo8V/FUViJd53gScN63XmhDGyHztoINH4bQ+0J+FdjAm9KBL1f9/rGFJ22aQBFnKQkWYEyMSQZETb0lApnInxb0WLE+dp0bDYb8iwTS0F4w2IPdWdFMwH0BgOUMVQedJqRxQllU7MpS0wcE3lL2huhIoXxlv1Rn8XdHR9/8Ji2qagry5tXr/nsy9cs13OSJCKKNdbLduZwf8RitQZguV7RywuePDolTW4pNw3XNzOaJudXn70OjGLPbLnh5PgA1Jy8yLm6uuTxo4eAmETH4zHKOyaLGbPpHda1PHn8BKUNV9c3PHhwjHGeBw8e0LQd52fvKMsNL54+YV0uabua2CQ7KFoSx6AMVVXz6uwlvaLP3nif/b0DqmrNbLkQMl1bo01EXVZUzZrhYERZNcxmcx6enmKMoWkb4ljiaNumIS9ykiShrh0eUbTGUYpHPGgPHz7k8PiUy6sb/t7f/ynXN3esqgr7lVW4D4pixXaL8NWTzHagLNlVOzCXen/C2RIKdlIJr1Gxw9mwMUehvGGxnOO922m41us1rW3pXEuWxmijGA4yLq9WrNctt9MVo5E8xLquo7VelgPKkaUFrXX0igHHR4fkWSq0QG2IIs31zSVsVlRVhfOWOJYY5rapiTSkSZ/hSOiUaZoGS46jbTpW63WQJHQURRIQpB2t3fCHf/QTOud5ePKAk+ND2ka0Qa4TymbXWcajMYN+n/VqQZbFpNmAm5s7nj56wny5JEninVxkG9E0mYxlUxxkE5HR2GD67DqZUSqt8EH/tJ25hp0v3lu8czj1F0CnYwP1Pk4ydCS5SEopjGt3g1vtW4xtZXre1dQ+xdmOLM1Q2rBab3ZPwarcoCsRjMmwM8UrjbEWHRlMFFN3IWfbOcmS9i2RTjjYn6CV4uBgn36R01Yb3p694/OXX9J1nqKXEhlFlkY4DFXd0LSOIstJ4owiy+SpWIwp8pLDgwHaRFzfzCjrmufPnnE/WzCb3eM9PHp4TFmWrJcrFsuSXl8SGsfjEVVVcnx0QrlZMV3OyNKMfm/E3e0tURRJIoZSHBwccnNzw8H+AVEkM4Kb2wus69jUliRKAvpAssKd7Vhv1qzWayJjGPQHDIqhgMMVkukeHMUaePnyS4qix6DfZ1UviZMMZ4UJXJUlJk6I0x6z2Zx+v0ee99jb2ycr+rSd5+zsnLPLX3A/nfP23QVN19GaoB7eSsm+Ehvz571En6NAi4vZaPsP/bz8d1ejIhdiaiTbSynAejZNzf39lMFwxN39PVmeUy/m4XQnyNa98Yib2xVxnFJWlixr0Vqc98tVTV5kGO0pN0tub2948OCE9WrGxcUZ1rZEgSCYJil74z0665nO7sCXwaIRoZTGAYeHB1hr6fWL0M7AcrFgMZuzXm/QJqIJIY1ZGpP3+hydPma5Wu9OHSAzoLZt5ceRdifPUqJIybYy3lDXggIZj8fc3t5x8uB4l1eWZbmYW0G2UD5spnRIpgh+LKMMFhssFWqXLKq0omkllDL6i9BebSNqm7pEtyZIubf9otuplOUlF6dkSynxfMCO9OZC0Pzpo0foNEUHSJEcA0Ui7qOEzBh8mhErT0zQBBkT3NQbPnjyAucaVusF8/ktSaxI0ogik7dsua7YbCryPGO1LInjmKYtxU+lNJdXl/T6I4q8Yr2Rf8NwOEApxWq1oGw6egFRsFkvJe3g4pInT59gwlDzYH+P9WbDg+NHvHrzJWcX5zx5JB6Zq8tL5vMljx8/oigyvvud7/L27WvquqIwPQ4PHnJ2LpqNfJzKhiGOSWMZaDvnqJuasi6ZLho25QbvHIPBkH5vyMnhMXFkJAZYr4giw2K54vzdW77/wx/inBObxmpN0R/x+MkLbu4WZL09+oMBi03Dzz75GZeX12zamjROODg4pHMeGcMaeUYqace2We+7V+hS3p9kpEBp4/8RGcj2ift+y+XxNmAvfIhM1mDxNLXj3dkV3//ex7tI3CTehOtQtkpFkTIZ91iua3pRSlV15EVEmhZsWk+eyxzRegljrOqS2/trSdfwFmUFQlbVazl1WsXR/jFK3VHXJWmcstq0QluMYtIklU1h0B7dT+9pm1o2tF2HCTKAzlpW65Ll51+yWK35nR98h61rvG3FCxZFkr6xmN9ze11zdXsjoHfr2d8/4ezsil6/IM87njx+hPcW6zrSYD4Wl4NHBZuH0mZnOfFBaiLzfEmx8GGbrMID35ht0/fbX9+YolNu1mEgpXert60UW4K93hcerTVGv08w2CYdSt8pg9AojndDZzySLRSD9l6EbYD1HuM9nZK8rIODfXzb8OBoH2dbIgP9wYAsi1nXhpvbOSrI4v/Ff+GvcHl9y8mDY8qqpsgLFJ4//dM/YVWuiH2Cd57ZdEVV1oz6BXkSc3N9QZYYNIIZaFvZdpTrFWmacX93x2QyJokj8rzHZLInWIxqw8XFOXf3tzw4PmGzXHH+ya/Z35+QJDFJBCcnUmi6piHJctIsZ9h1xFGE8x3KOpJUZgLeWqzpZOvBe23LYjljtV7iLBRZD4z4z/I8p9fr8d3vfz8kBrT0ij69nqxOdZyzf3DCf/Xf/k16WSoaGgXOyGfTtTWjToa5Sol6VjKoXIC1hxYpDI9ViCr2Xz0AhY9zx0EKr50I0POejazl87ad/LztQrie9dzc3lH0B0z29ri9uZHW3YlPLE0KlPLsTYbMFuc4F+NdSt1YernneDKitQ1JlJL2s2BBSEMhdMGsKm2lViHyp/NcXt/w/OlT3p2/YrEqsZ3l6OgYvIDVlRIdmXOe6Wy2Q6J459FRJIJG54gjSFPDoJhQZKlsA5Xkh9d1I7qjMPBNkoj9vX1u72Y0jZiQWysPloODgx0HR/RwwfEf8LbaGJkTyRu886/Jx+B3dV8p4T134WuauvkN3dSf9/pGFB0dBskgYG+l5Em89UKZSJ5C7/EWRrwesLMSEP4bxzGjyYSm7VCd9Jht26KiiKaV7CDvEfWy0ngtYsHEGEwI7RsPhySxQvmWOM0Y9MdMF7KeF0W957PPfoVzltXyPjBPhBDYdg1ZoijSiCePT/nWt75Fr9+n3Gzo93uUZUld17x5/YZPfv0Zs/k9k1FBVZXUdcV0ek+aRhT7+3jvODg4YLVacXL8kNV6zXwx4+ZGqA37B2Nms3sGgz5WG5Is5+HDU169fMlyuaTXK5iMxywWc7zvaNqW9Xq1OwIncSwu5baRooQAqLwXWP10OWe+WGE7xbfrChO4xqvVaodQ8MgmzAdMw3xVgtL0eynWWLQNl2f4vDSgnA9ucbvTZu1ONE4GmOLl2dobZCbsPfguROWg2GYifHWLtaWzorx8O/y4CAkBpZnOl9zdzdjbP2S9WqK1Zjq7xxhFWbVorej3ck4eHHJ2fktkIjEJq4i2q0NBiVmVC+q6Yb1ecHL8kNn8DqPFAtBZi/dd8IgldF3L3f2UJMlJk5ZeMeDx0+eApj/oo4Ix9PLiguViyf10ylbV3IVRgA7m5+GgR13XEvSHsIDKkKcmiaiS+OGs6MPyLEdry2y2YE8L73t/fyIJq6gwFA5DMkSca5TCGZlNgUcFG4UKvwa0MHW8rMmNNqhWrBr/mIMOX998/U/0+vOWET60Sl/V7Oy+bbuQDSWaE8KPgcjJBazUUlYV6/WaqirxzmHblrZpaTYlvq7wdYndrKg2G8ajPovZlIfH+2RJJFqUKCGKU4pejyQ2Qd4utLblesqmWrJc3lOWc9bVUtbMeEEeVDVVuaGXp2LEizTleoXthJWzt7fHt7/1sWzM5HHMYj5DA+vVJkC25GY6PjoiSXNePPuAXpHjXE2RJ0z29iiriuubW+pW1Lp53uPo6JiqrhmP9xkOR+zv7ROZBNd5bu/FOV02m2CuNO/FmUp8QsoosiSW9bKzmBiuby4xJqKuZSbivACuptMps/kc23X0+316vYKqafFeoYPEX+bAwtbN8kw6p06e4iL+3Opp/O64jvbvr42vtFjbgbEO9s8wX34/1Pzq1zqwygiN0Pqtgp/at/z0p38aJBQjTBSR5wVJnIaoZEccGQ4PJwyHPe7u76nrjiSOyZOEJIpx3slwHsft/bWYf7UEHHZ2O1hV1G3HerOiDG1YmqQ4J9dpHMXsTSZhGyR2ns1mI3q14HdSQeErjGZpLZume19knYD0vZe/c5KYHYjMexdEg4oo0DfjOOLi8pr76Qzn5ceNidAhyljy2YRNbkyM82pXXNrOUtcNbSdatU1ZsVituZvOub694+L6jldvz/j8y9dfe79/I04675nEZndRSWpihAlaABEnSY1Ms4w8y0jiaPdGxkmCs/LGL1criiKXDxOYjIaYOCHPUs4vrnl3fsmTF095cvqAN2/eUTUtTVWyPx5ysDcR0JUWA5zC0w8XSBxFVKUliWKZ8BNQC7sHsjxdy8pRlkv2VxtWm4qyseGI7ykrUb3qSNHvD8jynkTHKujamulsSpSk3Nzec3x0KFEiScpoPMF2ludPP+TLV79iOhONT5akYlnwin6/T5JEHBzs8Xv//D/P2dkFne3I+kOGwGy+xOExkca6DkeMbTscNnhsJMomS5IQpZNjvaVuLXe3N7ugtX5fjI+t7RiPx9R1jcJT5AkPHxzx+cs3tJ2XTKfgPlZh9ZomKUtVopTDWwUmtFJhNhGGN7sTiveiQNba7ywQ23ZKCowO8wQPXnhMKLk5t76mUE8DfgEwnvPrKy6vrjk+PKCua6qqBK/I0hRjNJ1tMRqenB5wFWtu72/xdBwdDkjikCFuDOPBHmXTsNpsODg44vLyPGTVe+q2FvW0gjhR5FlC23UkUczB/hFd15Ll2c6tv1gusbalqVvBgBgZLTStWBA6yWJmPl9gjKZtxUyL31IBwXsnTvTQhiq2hbAl0opekfHxR8+pm5ZXb85I0pQojDS8k9TULRu5beWhvtyUtE1NXVa0VrqHbXCzD6cfgpZJIqn/AmyvtNZ859sf0cszTJxQ5DlGK3pFgQOiKGZTVlRVTV1XYuNPU3pZwtHhgcxEypKqKomUx3YjsiJHazmaxonE0L58+QVWizv97OyC737wmMO9EU1rWS7mDHpHbAeRWovqVitxp5vA9D2/nKLNmHEsQjsdHq1dIKZtyoZ+bw+j5UM7OzuXC18bNpsN69WG5y9esFgsieNILhLvyQJruK4rLs4v2NvfR2vFeDyW1EdjGI7EK/Ps8Ue8fPMplzfviOOEPO9zfz/l088+47vf+TZZllIUfZ4+e8bbt28oKxHueeD0wTHW13gvKaNlSAdVCqqqJc9ikjjBWk9XdyRxJO9vtWK+mDKeHBCHLUecxDinMCYMO5XmydMnfPrlm7AcAJQX8yXQNJLJhEKSGUCIfrAT4m1tO1tKpAz4pXBo71BeVtaS8BDaJqXD4jaogb2sySWDULxZzkpRMrHB01Fi+Xt/9BP+53/1X+bw8IhNuaHabIhDUqsGGlvhfMvpyQGDQY83by9ZLKd8/OEjgZI1DUksWWXLxYKHDz7m6uqC1jY4z44smCQx1ln6vYKz8yuKYkieF4HKKLB223Xc391yc3VD04hiPBK6t0Qbd6KUPj094cOPPuD+fsp8vkAHqoLzsFou6fV6wcysQBuiWNOuJH3EWstysSCNDUeH+9zc3HJzex/SIGR04JHZjKzIWxHFKk2exUSZwaN3S5dtYmpbV6RZgVY5DsPL1xdfe79/I4rOcNDjr/4L/wybzYambcjzIsTzKs4uLri+vtgpigdZSpEnHB3s4b2lF0saAK0jHwTGrNsOFh2rjePy8ppfv3wrmedKiPXeR/z+H/wDsrzA4Pjuxx8w6IkvxYeBWpr0BKkZxeRFzvNnz/jgecrN7TuMUrv4V0JUSFkJL2brNxJGccPR0TH9/pD1ZsP52Tnz+RxjDEWRkRc9bu/nfPzRB9zd3bKYTgOtT27UJM3BSypGr1cQxTFVueHx6XPevvuUt+evOD44pSxrqnrDYjFjMhmhlCZNM54+ecKnn33O9H7G6cNTtDGs1zM25ZLZbBmEZ45eLyeOg+LbQxKl1Lqjq8HoGO/g7vaWvb0jVus1SSz54s62XF9fc3R4QJwkPH50ShJJ8iWx2B28BpSibmt6vdFO5av0lmPE+zmAFy3Ldk4ng2WPQVFkKf1eQZbEJGnG67dndA6IvPCpnUOj8Vscp3dYFAKS9+jEg/Y4G6NVx6Zq+Dt/9w/4l/7K/4xnT5/z5s1ruq5DKY/TsK5XIRzPYoznO996RlPXFGkvgPYl5E4C6iR2eNueeOdIkgiFJFsIyMujdMJockBnHSf7e5hIHjx30xl1VbFaLWiajsgEXrdXMhyOBRb29u07yqqRZUOSUNfyQGnbRgb03rNYrjDKScaYVxilqVpBn2qj+f3/4e8yGg6IjAyQjRZ7kHWOzXojhk8rRtVBr4eJNPujE5FKONkOJ0kCKKaze9JkFASE8Pb8OvydfvvrG1F0ImPopQmxUWgzlEl+J0fM7330AfpDySxyXjZTDri5vWe52pCEWA/noVdkyD4kDKuU/JrXZxfMViVdtyLLMmln0pRNVbNYbfj4xVMmo4G4g53n8uqWm+tLfu8v/y5OS7zqeLTP2/NfEEUZSSo9uHMy1whnWUlGbJxcOHXF8dEDIhOH4awDb3l0+pDpfC5tTJrwnW99zE/+wZ/y8tUb+r2UrqtwTnN3d4OJU96+ecfh0SFFnolwMolpJmOiSIH/gM9ffs50dsuwP6LIR2zWa969e8vp6WO2HOinT59JPMpGBGdRfEie9bntrrm6vuXgcIxG0S9yrPW72UmW5myqWoqEd6xWK5EzBFGZMRFt0zAe76FDfG4vSwFoOktOjNdSQJQT/kuvANxWyLdTBMpJxXsEwBVkxUq0NiZWYC1/6cff5Yff/giCR+K//H/915xdz3Aecm2YTPYYDkcM+wV5UXBxec3b8wtWVSt+LwDlpBVT0HjPzWLO3/xbv8/v/d5f5vmLF1xcnDObztBK0csHgBhDlQLnG0wsxTNLUjKtQ5SOom62N7UsRjCSDSZtqxMl+s01H37wbZrG0e/lGBMjAYOa2XyB7TrSRCwHhC0YSrNaL+XUHfRoy9VLVqsDHj58EEB0njhOMUbRtB2bjWSiKyPArTjN6WlJgGiaRuaOrQRKKhRpGqE1LFfrEBDgKNcLJnt9lG7ZG+3RdhZlLKvlgovLC1arteTP6S2SFRbzFTf3C5r2L0B7tW3i66YJ8RuWyGi0SfHW0noHFukbveQuDYcDkizbwb3rqqLtLEkUBXl7QtvZoPVQjEeCgoxiUVdqbXh4dMByMefFkwf0+xl1uUErxd7eHldXlxJAFuIhYxOhgMVyRhzFXMwWkoHU65NGsgZuajnTe8S8ap3oLK6vLskzAZznRY/eoM/93R1aG5I05cGDI16/fkNkxiRJhleWqtpwf3PNZP+QuzvN6PkzMaRGCfuHR1hn0TriSec4P39L2WwYJSNhRs+XwBknJw8py4p+v8eLDz7g6uqau7tblLNEJiJNMwbDgQTD2RaBo8cYHQNaIpmd2+FGFvMFGtjbm+yO6ypE8wDBXW0YjUbM54swI2I31e2C38urkEkVKHpb6tx7rU1Yy/pQe4KBM9aCB9Va0Ta1RPhoSNOMD1885dmzJ6xXiyC10HzvO99iPBrxy09+zabpwGtcJz4+vEIZRWc894s1v/93/g7/4r/wezx69ITIRKxWS+pKimCe9yjyguV6SWtbIhOjlJFZCRKr47yjCK0NSjahRgvV7z0YLgIvyRr7B4fSoijNarVktVqxWq3DqUrRtR6P27XvrRUP1P7hIVVVMxmP6Pd7NHUj6vNIfIRbVtGmlBV3mop0I44NDkl33aa8llVDkRrSNMI6S2stneu4mS4Z9hOc8qybmqF3eBR1LaLR8XhC17U419JZK1oiE1F3NYNBRpwWX3u3fyOKjvcOjOHo+Jir61uSNCPPUpbLNTiPtw2t8/TynKazONeS94dQ12gdU+Q55WbDcrVibzwBZAWfJgnPnj+lNxgF17Lik89fc355S5rEvHj6mLvbjNgIIiBNU7zvONgf86PvfwsV+C1t05BmmcQHz1bMFxvmswo/rfHuRk4hUUTT2TAHWhEbGE8OePr0AVGcYIymqUtWywVV3VBV9W7j0u/1yNIoqKuhqsrgUJ9T1i3Pnj3n8vKKZ8+eIIJ+y/HRETc31zx8cIr38O7sS5bLFY+Vpih6zGczLi+vGAyGfPd73yGJI05PH9Lv9Tg7O2M+W2CShA9evKCuKtabJV0nkTbrekOvV4jTHBnSOt+yLpc0TUWUCNi9CVnftrPMVgv6/YKi1+f582f88R//A7pO+L8ukpvINZZNVYfNpPy+3ol+5jf3rLJD1yHxwYXccaUN2gh4XJuI3/vn/1m+v9pQ5AVdW7OYz7g8P8d7QYGO9/Y4eXBA27b87JPPqKsOkyp80OxI8IGiARblhr/1t/82P/j+9/now+es1yvOz89xnZgb66ahXwwl36pcSiy0t1TBTjMYTEAp5qsFnRUSn/OONMmp6pbL63uODnPKqubh6X4IDACU4rPPP8d7qOpa0Cpdg0oilDK0raPfK6jbjiiKOTw4CMB/ISHKCT+n6BXYTsL2ojjmoHfIer0Sb5+JiCNDlsbYOGa9WlFVMrzXRYzzFhN58jzl4mJG1zniLKfIUz7+8Lv0eyPWqyUKTxQn9AcjHjw45def/orVak4cO2xXozWUTU21ar/2fv9mrMxR2KZhfn+P7Vo00DWtCOQSTW1F9dV5aEPEarVZ00tiUgXNesV0NmOxWNF0FkxEF04ow9GIzjYo3+F8yzbE7eGDAy4uzomNAm+Zz2c0TUVTl7T1mixWMrTsOt6+fYP3cDDZ5+njx2TpkAcnp+ztHbB38ID+6ICTR0/59ne+z1/+y7/Hv/Kv/mscHB6LxybWjEYD8iwN5EJLVVUkcUzXiZraOSfy8q5jsypJ4pxIp5Sbhvl8wXK5oG4aLi4uJE8rKLYPDg/ROmJ/74BHJ0+II82bd2+YzWdsypK3b95KMV4saJqWuq4ZDgd8+NFH9Ici7EvTnLw3ZG/viH5/TNM4lsu1rJi1bBQ75+icp6xK7u5uALi9vcU7u9u8EQaOznmePznFh8wtj9zkXduSZjlJmtE1VuwMXmH/3DBIKUBfXX9bC7PVmvvpnMvLGzabkrYqyWNNrB3v3n7J/f0lzlbUdUlVbbi+OmezXnD68JjRsC999zaXyQWJm1eoyNNpxcJbfvLTX/C3f/+PsF5zevoovMdywozjDKUMg94YpVTIHbMMegMenz7hzZsv6WU5eRpTt+Ji76wkYAwHIz784IUINodDeb9w3N7ccn5+zeXlFc5BlKS0nadpPNuMKQkmVGgTc3s/4+r6lru7qbRK3hNFYlqtqlLC9xZLVqs1aZazN9kjiSUsr6kteSbm0qauGfRTilxiiXww10YxFElEZiIeHj2h3x+xWG24urmj7Rxd8LJFScqjx89pWkVVWdK8L/heE3NzM/3a+/0bcdJRWhTIZV2zXq/pZSkmkn+ANik9L07YosgZDgrqshR1pjEykDSG48P99xhSrTFIKF6WZZIOASyWazons59Bv2B+e8XDF48lKlXB1dUdjx7JGt07y/XNNYNBn9lsTtO0fOd7P+Ld+SVpPqFpxFzqUBgFJyfHxLGcVqLYsL8/lpaiabm7u6NrW6qyJEkSmroWlEIsojFw9Pp97udrlqsSmOIc1G1HL8+4vLzERIpIH3N5ccnR8REeh/eKg6NDVsucJE7RJubt2Uuuby853Dvk8GifLMs4P79kPN5wfPyALsxYfvD9H7FZL7m4uMQYR9tpMitpAft7I+LYULeynWk3LSaEyl1eXvLw9BkPTh7QNi1tK2K6yUROmForHhwdMugPRGEbsLPewaBXYLtGNkjaYy3EqX4f97t7SWv1GwVJwU9++gv+5Cd/Rr+X8a/9q/8yystczESGTbmmbevdMN8rTQTM51NOB2MO98bM5ksxYAQFNFZIkUoHYJyFSnW8urzg7r+b8sGzx3z00QvSrKAqN9zd3aO1KN17/YmgTasZo3Gftqt4e/ZG5oiuk2sKQ9s5mtbx/NkLlFI8On0oVgWviJTm3dkZSZrx619/BnhpGSPJQ3db9YD3OKXp65jp5h7vPXuDHg9PjtDW7lg7xhjqqtrqA6hLyTYfDod01rLZrEUQ6C1JAv1CeEHVppZ7xEfs7+3RNh2DYshwvM+mbHd/tzQV3OpiVWJVQtMpsmLE9dUlTeNYlxvRJjW/6Yv7h1/fiKLjPURac3x8zOOnT1nOZviuwysZ4j49PMR1Ar2q2466qpmMh2GeaIgjw9MHT6nrmuV8GWIy4hDF0UnKZyer6X4W05Zwf3vH4WTCcDCkLDdcXt1QVQ3NqzP6RcZ8ehPC1kr298bkecp8eke5vCeNWvLUYDtP10G52XB79Uo2BRpJjMwSIm3I8xTQlE7iX42JWK7WNE3D4f4ey/WG+XzFdLHm4vpOkJNH+2zWSxKjGQ16KDw3V9doFJtygEdxcHCA9z6sXQX52bQHRLHh/PwVs+UVRT6kbjZo0+P25i7EkqT0egWj8ZjBYICJE2b399zd3bFab8iyGBUC6mITY41gH9q2w2jN/e0tVVUFJetWESxtWNuJ+1xpRRIbmqYWqT2OCM+gV3B9c0MURdRNS5TIafSrsvptFlmYFe9EcN57fOfoFwUvXjyjKiuKQjLBNmVJZIzwl1tLVUskcussi8Wcw7pif3+Pz1++xilF16pgidA7zxBO4Z3CaYfTjkVd8fNff8H55RUfffABp6cnmChlNr2nbRq6YCk5edhnf/+Azz//tUg0nKeX9ljXJbfTOZ1V9PpDBoMBg2GfLBfkitaa+/s7lILZbEp/OCAOcDRjIrKsow0+Qq0lIwytGZqE1nYkkTB8kjimbTt535FwQO8dzrUoL9vV2WwGznF4cEgca/R6Rr/I6PUKprMl0+kGFXUiLwl/3mzV8MWrM2aLFcv5jLqu2dTC/BHx5yWtE8BY3cCq2gRom8ORfO39/o0oOiIpMAHlaYiUwhoDWsxjq8US77pgQVAcHB7gOouznciyPdzf3eOVBL13nRXZuNa8evWaF8+f88tPfs3eaMh6teHRyRHX1zcMhw9ZLuZsypJ3ZxfkvT7z5YoPnz9mNBxxc3vN0dEeD46PiaOYpm0oyzXOW8qyJk9z0jiBPGW9WdO0oqdJ01TEiZGArquq5N3bM5arFb2+ANhfvX5L14rC8/L6lrvZnKZpKNKYh8d72LZPG3ACVWNxznJ5ccl4r8GjsU4xHPbIlcYYw3A0DukWnuTJh7w5e0nTbnh79oqT48fkWY/bm1u+ePk5P/rhj+j3e1hEwHd0dMBgNGa9WVNVG5QSEJPslqRlimODQiJRqqpE6yicek5xtqVtLXe3dzx63CdPDacPjlkul5w8OKZtRBlugkgw8p7GOVyn0bHfAegB0dgE86cClJOCoxXkRcrzp48Z9nucX5xjtGcw6HN3e4Mx8m+PYo3uZKvkHWiEu9QrciJt6FqLj0AF5OmW0wMKZd6DuzrlcHhu5yuWf/IzLq+u+f73v8vxyUNWizk319ccnTykKAo+/+wTlHc7zg3K0NQeZzV5VvD49BSl4PjoODBohPN0e3tHVVZoIMJi24465GMVWUrTtszLijxPSdOErqsxOqLoDymy0S5fPEsTIAqpoUqCBPKMtu1AqaB5yyVtIo4YbvphY7ZhVS6xJpMNWNoDbbDeUVvFbN0wX65Zr9bEccymrLEIbP7y6ioQB0UoSHANgGh4vu71jSg63kNjPffzhRz3qlr4xk0jR2XAO8s2GgYU682GsmyEY5smoCSepsgzqpCeYCITwNRzjILJ/j4fPHvEZ1++oW1b3r5+jW1KrBdh3HIpf/5LLL08Js8LRqMRShmqpsFoRZrmdLajyIecX15zc3vOuqyZzpZ4pSiyjBfPFM+eDkFFfP7la96+Pefd2Tnj8QSjb5iMx6w3G37y05/hnGN/b8KLp6dcXlyQ5zFNs6GX55hWQ55R3c5ZLNaYOOZ6uiR5d0OapfSKgu9++0OePH5IGieMxxPiKOb+7pbvfPQD7u4vuLi54ur2Hf3eGOUNRZ7TNC1v3rxlMhlRZIITSdOUH/zgh1ycv+X1qy93YXkehwtwMakCcsMURczhwT54CZWLI82jx4/obMvF20uKLGFxX4Gt2J/0efbkAWmWc7A/5rPPviBarqnbjq7xYGSZ4MPJ1XaOKFG4Fug8kYZBkfLRRx+SJob57A5nW1Ceg/293TVRNQ3Wbw2kwliO44S6KtFRIpqYqsPEMsq0rSaKAGdQpg0JNgqcRinhnVoXUTrL6/MLbu/u+PijD3j86BHPXvSZzaYs5+KR0grSOKamZWv69ErSO7K84OHpKUm6jVCGt2/eUDc18/mc2XyOMYK76A2GmFBxdV2TFwWRke2rD8SEuhHRpnMS8evCj3fWMpvNgsK6pmka+oM+dVmynC/Ii4wkNdjW4oh5+faC6WLFZG+f+e1dOKHG2LYlLwrivCArelTlRjLmttopJadDa0XBnERGZlchzWWbtf7bXv/ERUcpZYCfAGfe+/+lUuo58DeAfeCPgX/Le98opVLgPwd+F7gD/pr3/tXX/d5N0/DqzduARZS/dGsdrmtpuk6GocsV/cEAazt6vR69okfW6wURnlTZxXyO856i10MpaNuWLMtYLpbgO+aLOW1nuTw7YzQcMRkVOJey2Wx4+uyxrDhr+bDu7++IzIjZbMlocoDqAnojSmiqjp/98hd4b6iqDSaKhYFsNMYkdNZzcXGDMYrlcsVytQ5tYIQOEC4FjAZ9UZ92FZv1giIXbMV8XjKblaKN0IqyrJkvVtRtg0eRZTmD8YT5QnQzVdPx4ukpcSQExYPDQ+q6Ik4yimLI9e0FVbVGYdjfPwBgvV6y2ayJo4i9/X2qqubo6JjTR09YL9fMpneAIDmU9jhviZQMwu9ubyie9ImTFMm21rvTQlPXPHhwSJGnrJd3aN1xfXXGzY3h+OgIbSJ+/OPvAZq3by94e37BYrWm7UBF221Vh20NynlirTk63OcH3/kYa1vu724lIshZTByzWm+o2xbfunA6MjgvN2BkYsqqZjab8/TZc9IkYl2HVs0BCCkQ3eG9RPuiPT6YVJUHpxtQsuValjU/+8Un3N7c85d+5weMR0PubluiSALn0kTaRqM9g34fozrKckOWZZLSGmgIFxcXLBYLFssl8/lcblIN1WYtUb51RdErWCyWjEZDlhsBcylgPB6CsrvwuziJSBKxMmRpRlXJ1253RFVZstlUGOXR2mE7KQyX11csNw1ZXrDalJKC0nU7Jbldr8mWK4aDIVl/xOz+jqKISCC40iP5NYg9Q5uIJE35zS3kP2XRAf63wCfAMHz/3wf+A+/931BK/SfAvw38x+G/U+/9h0qpfyN83V/7ut9Yac1qXdJ2Mo/pbEsUJXjn2JuMBTI+X7K/NyaNNdPpHOVb6FrqMuRRO0caeZrNjLTfwzlHaiSiJkZR1YQ4G8vR/pCjwwNWyxWz+Zz5YikT+ShivVnRK3o8Pn3IZP+Ad+/ecnU748UHH+Jsx3K5oW1a9vf3ydIs6HGE7+ydY72u0UqzrtpgQtVEcUrbzrm+vQc8Joq4n07J0gyjNXGccT9bYbRhualRWlMUBUmSsilL4thweDBm0O8xHA6CDwfqzrNYLPjk118wm8351ofP6RUpaZqRJAlaR0RRTK/oc3n1hrvZHRfXbygWI/b2DimKHtP5kj/72c95eHrKweEhRkc8ffZUtlQqBKyhwQs+AeDu9oZnzz9kvV6zXC44OBAQ1Wq14ub6mr29CZPJmDg2bNZyIxVJSttZ7q9uOXt3weHRIQ9PDjh+cMS7d+e8fndG1TS0TYdBESvI85TnTx7x/PkT2qZiNr2lrjfgPXVTc7q/x9XNJda2QX4gBaftJJ6os62cbhSYyDAej1htSlonQ2yjwdFBKyQDUUqr9+53HaTSyuO8rKetdby+uKRpG/7yP/s7TPb2sDcSsLdezwMm12G8Is1SJnsHPHnyCIU4zxfzubQrUcT09payrEmzlLzoszeZ4GyHHvap6ppHj07w3tMripCvNqPtZG2dpilxOKFqJdiXtm1EO6WCLsoGssCmpJcntIGBnecFSZrSzTd4NKPxhCSVh29dSnZb11mm9/dobej1eiRJKowfHUlkUhwH0SgSguA9VdN9ZTr3T1l0lFKPgP8F8H8A/l0ln/BfBf7N8CV/Hfj3QtH518O3Af4L4D9USim/1bX/OS/vLLG2LDdz8ryg7WoOD8bMFnOyyBH3I7oqY5CL07vIFF29FlGa00zv7kmSmK4TvGOXJTJbiWJa2wZLhWW5WlFWLf1+EbChll5/wHiyR5ImEhAfkiS0ibi7u2N6P0dpwx/94U94/OQJNzcz5rMZ1lvW6yrI2OVitE6O+TqK8cElbCJRwiZZSpGl4MVV/tGLpwwHA/IiF+d53WAiaS2ttVRljfMtw1wMr2mS4rxjs1qSpAm27cA68ijlfjZlU9VoPP/MX/qBzLqUZjga0rUF63XMCYp+b8jN3TWL9Ya3715ydPBAYnlWU9L7SNzKUYyJRVVstMYirYrznthFdLajKld0XUMURwwGIrq01lEUPZ49f4FzguY8fvCQ6fQ2cFnkFLjeSH74u7dveHf2ltF4j2dPn/Lo9ISzi0tm0ylJKq3j6cMHDAcF8/mM25tr8OIHKsuK4XjEcrOmbisUGts5NpuQPqrk74wXTtJmvWE6vef04QOub+5oyhqMFrZPFwbXxuM7KTKKCK+sJJJqGZZ7wKhIWpzIcz2d8ctffcaPf/Q9oiQTwl/TBB6NIs96ZFnERx++IIqEJdzULff3U7IsYzGfU1YVOhiL62pD3OujNAwHA/RK/GTT6ZQ4yUjSjKLoyQlOmUDaFHuKSQRP0jRbMacXgqGJIJIsuSTSON8R/3/b+/NYy/bsvg/7/IY9nPEOdWse3tD9eiCtgRKh0RCUBAkSwbD/UQwFBuIEBgRkABIEgS0hRoAE+cPJH4EVIIhNQAHiII5kwxYkCEkcRbIcJJFESxZJkc3u16/fVK+mO98z7LOH35A/1tqnnij2I6kmu4tQ7YfCu3Wr6t59z9l77bW+6ztYT7Pr2O46ZvMFVVXR7hr6YdB1uqdrW7qupWkawsuXHB4dCW5kHDHJhm2+WJCNIQyBNKrajSxufrvGq38b+NeBhf7+FnCdcx6Xml8AD/Xjh8BTgJxzMMbc6N8//2FfvPCedx7f5+TkkK7v6Lspi/mEwkFRiO3jfFaz3e7IWXKhM2Jz2vfy4m62krl0fbPi8y9eklKUF8o6nPGkKOruIUJReJyx4CoxoTaebTMw9D1Ns8NYw/nFx4DwLHIyNF3Py7NL8QjudqKB6gbKMlOXBfWsYj5fcHSw4N69uxwcHhEGySLq2gZnDWHolck5phKIXqUfLLH0eysOo1I65wrxUxkGhiAJj74qMUYjcsjE0PDw9jFX6x0XFxecnZ1zdHQooZY5U9UVZVVibIGvZswXx1xcvODs4ozr1XPqasbD+8fcPrml4s5M28nNkJIUryGKCt1gKQvPbtdxfX1FXc+oqkLxNiV5anv99Itn1HVN13UM/UAMkeXBIb4o2DYbSdNsZOOx3Wy4d/c+7z6+T/m1J3jF4larFZ9+/iHWWOKQ9KbKlPWMo+O7fPLxxxIXnGGzaTVjPZOTJfRQlo6URRSzXq+4c+cBTx7e48MffEafEM2elZIi3sujOj1rfK4BmzHJkbMjuSyKaiPWqU+/eME3vvEBBweHvHzxhXo/1WQsIRm+/vX3mM2EnRtj5Oz8nJzZRxmXRUnGSLqnc0pwlS7o8uqaW8dHLA4OSCnz/IWw2ufzuUTmIJrAru/xXjzEhbFeENOwT2aQZArh4lTlBFd4Qi5wBbS7ltXNDTFJZ7fpO4x1giP5gqbZMvQd56evSBju3Lkrpm9ZuqX5dII1oslbrzdEY/BeNHk/UtExxvwLwGnO+R8YY/7kb/T3f7OHMebPAn8W4OjwgI8/+QSn3sDX19dcXVzT9h0HB0uODg8Yc4TqesZyWTAE2SBV1ZSdrky7YcAXU6ZTif8A2LUdXei1QHXElLjZbkX2b71gRzGJK5pG5XpvKcsSY2BSSnt5cnLAYjFnMZ9gkewhaw3tbgeI29vR0ZG0vAWUJuB8JsWedrfdq6ZjHNm2BWQrhvTGUU9rqskEg+jIBB9yyiGyhBhkbq9rYpbo4xAkKtZaz8HRIV988YLtVgziDw8WEqmjznDLxZzJpObiAg6PHrBc3OL0/BlnFy8pi5KDxYGuqy1XF2eyDjdiBjWbzSFnLdqRIfW8ePGKd999j6bZkTPMZlNCGNist9STiqEfODg8oqpqvBNbCectt++cMDzrGIZeqPNtRxyutXDckDSrfr1eSRRL39G1gZTFMtM6x3t3H/MPfuE7dO2OlMXys/SyNdw1kc2mEe/jIRJTQ+/k9SuKkvfff4chZj7+9Cmhj9iqIIF2RrJ2Ngh3bPxPBKsBWWl4bBKR5kDiww8/4lvf/BrNrqXre0AY00+ePOHo+FjsWpKssnfNls1GRL9hCCyXc5qm5+bmhvliyb1795iuVhhrWS4X7HY77t+/z65tmdQTblZrRsN0Y167ZIptiuRfxRRxrgSTVRDak2Lk9sktDo+OeHV2yaefPmO764EsYk/t5CyROCS2cY13nuXBAbum2ZMQ5evPGIbAdrvhcFbz9Q/e53gx5ZPPvyDZkul8zsFi/pX3/m+m0/njwL9ojPlTQI1gOn8BODTGeO12HgHP9O8/Ax4DXxhjPHCAAMr/2JFz/jng5wDee+edfO/uAyEEFp4QDc2uxWy3DEPm/HJFu2sZBpEqLA8XGOD09ByDoQ9Cr086z4aY9IaVPK3Ce7xzzI8PJNMoJ8IQGMJA4T2Tuub4+EA8jBGNj/VW2uUg/JQwDHShIw1Cbe+2a0IOpBDIxnB8eMhkOqUqSpwvhPBoJD10eXAo7nza2YgwPTOdLdhsN+SUmE4nTOpSVb2ermup64q6lmgdSS71OrsPlEVB3w9ijwG8uljjvWM+m7JczvHeqVJYwulkdSpAcrtraJqGB0XFdCqM7aNbd4kxUhSWi4tLLTpQ1RWL6Yzl4S2hFzQb1ts1682Gup6wWq8keC/JZbtQ9XJVV8xnM/Gc3gWG1HN2/pInT95j6FpevHwBWbq5XdtS+J360MhmZLvdiXixj2K6r34Vy8WCX/nu97i6upYCYQxlLU3LzWpD0w50MTELmdpbqsozmEDMmZcvnwOWB/duQ048e/GSNkRCTFTOQ8okEzA4VWJE0aRmo+RFS7aBYCMuemKG5y9f8v57j3GuwDpxvrx1cpv79+8r7cDQdh2XFxdsNhtevnjFbic6wbHAHt26xcXFJea2GOtXdY13jvOLC16+OsU72czmnGiaLScnR5KwWshIp5YK7JpmvLcgJ7W8lW7EFwWff/aUlxcrXXUHoSdYtxeXimlcghjpY6Afeup6QlkWbJtOutZBJA673Y7t6oY/9Ad/L6WDJ+884he/+xl+tOv4UYpOzvnPA38euRj+JPA/zTn/K8aY/xD408gG618F/qr+k7+mv/87+ud/66vwHIC26/nlX/0+Ud0Cuz7sDYsKVZGjHI/+esWzV2c4m5hUFfPFgsWk5NatA5bzCSBuaoeHC6aTiRh61TVt12IQ93rvjWhUvMzNKUnwWejXGGNpOgFz66oGLENM+KJgMaklwK+eMnQDpc0slgu224aUEM9bDMY5ZpOabbPDOctkMhUzLu8lZ2sI5CxK7cJbhqGnLCsZhUoJP6vDlKqQjUBG8ojKshR/4pQoyhI3es5YSxteMJtdcnx8JKOBgnwxBCIyEojftGexXDCdTdlut9QTAadTFDB8u92y2aw1zRSurq/YrLaEkLHe4AuH84716gJnE8vFTEzBh17PTy6p+XzOfLFgNl3QtVuKouSm2fDZZx/z7W/+FCknXjx/KVYgvuBmvaVp2z0Te4jiWdzrteCdmIuNPr5ikC+dXDawPJjTNR2byxuS8YTYMNQlm13LtK6wVnRMFxcXgOVb3/oGt2+f8Cvf+S7btiOFRFaDMEySdbR3mOzIMZKsRoYmKXARAzFwfOcOOYtC+/GTd+n7nnfefRdfvH64XZxLPPDlxQXX1zd75XnXDVRVTd/3DH3P9dW1FJZdy3Kx5PDoiIuLCyaHh/SbDX3XiR92UeC9J0YJ9gtDACtFo9TX6PDoiPms5unTzwl9R1VVrLc7VpuGIYHJhpgTWe0uZLMmo6pMAUZYze0O5z21XvsxiNtkURS8PDsjDD277VaSNAwkLGX1O0cO/DeAv2SM+V8B/xD4i/r5vwj8n40xHwGXwJ/5jb5QyqLzOVweiAtgIUFyfT+QYs9sVjOZTOn7lmEYCEF8P6y1zBdTSJkhRI6P5nvaeF2J18i0lDX8fDbDe8EsQgjcvXuoymeN0DDiZO9U/Nl1nbiq+UJGGC/2nX3fizDTGIpCCkrTNJpPNKUfBiRIXiKCh2HAGulSUhTl72QyJSNt8mI+l05GLSkL73FeuBdOneOGIUAlTy+wVHUNOasDhPjujB7TWbsoSOrIaPY/s7UWX5TkJCmcBwdL+drKkLXW0veBqprSDy0Y1Bu4YddsMIXh+PCIlDNDP9A0WxGXNjsBIZ2hKB0XF9fMZ/IAOLl9m6vLlxIAZ2bsupZf+dVf5ptf/xYhZC4uL7FBrDDXu55d0wrXxjqss0zqWgyt9PXPGY4OD2m2nuWyZtt2WG8xvqfrN9QaZhdiYtNIdEvT9ey6mkWf4HLNcjHni6ef8+DBQ37f7/3nePbsBS9enbLtxAPIekNOHpKYimUl/eX4miVtomBBH3zwAadnFzx6/A4ZwzvvvrvHNGJKXF9dsVpdc3l1zcvTM8IQWcznTCxElWuUZcVkMpEuz1pOjo+IYWBiK46PjgghsN1uiTFRVbXkbsVEVYwWK4m+b7HO8s47j4kxcnV1Laz6GISr0wdW6y0JWRBgDaFPJE3NFcMueWAazWr3zu4LZw7ioCBcHLEE9t7Tth1F4ShLz6TyVLMJf/Bn/rmvvN9/S0Un5/y3gb+tH38M/KFf5++0wH/zt/J166rg/XfvYYz49RaFGELfOpxKJY9K359OsEZp4lWltgFZiVLCnzXGsFjKVr/vOjKOEAaKsqAqSnGaU/mA9RI3jDHqvwNdHxj6jsVhoZYN8jWj2kH0Q2AyqbFkYhACo7GOlAYShqKsUaWkWGPoJiUDrijkgjWimNbSQFFOVIXeYb3XyA8ZWfq+IwwdKWUx4+567t6/LzE1Tp+mvWZrd4H1tqOqCnH+i4GyECp82/ZaWEUZPlPL0aIsyTFi7TjyzXjy7nv0fcvNzQ1Xl1eSS+blQuwG6Rwudy1np6e8+/7XGYae6VQKcU6RoW/Js5p214rhU1HiHFTlAmcd23bHz/+Dn+fhw8d88+RrfO97PyDmTnOeCmaTuWaaCdA/mU50o7ej7zpSnnJ4tAQ6jo8W3DQ3kAzOWg6WE/o+0MSewsIQYRgi12FHHzOHs5qYEqenp7S7LY8eP+H3/p5vc/vkmF/51e+x7SSxovAO4wMmlRgrzog5akJFkM5AinavfjKWvuspS3mwxZQ5O71ku9lwfb3m/PwCMhQKkteTCl+UdF3H7du35X0Mga7t6dqOzWbNbDanbVsW8zkffPABFxeXAGK85WV0L3yhgQEiN3nx/JnY7FrLbtdo1vrAq7MVq2YgYvBe7Vat3Xc2IzaUdIwEuS9SkpW4Ue+gvu8xZLF0qWv6YaAqZeFxtJzywQfvc2s5+8r7/Y1gJJdlxTc++Kb6tgiYKatmMaseM5P7fmAsAjlHltOZPvzFWMp5WfvKGlK8a6wT+0kpGgWzqRC5prP5/slpLSKdiLDQNymoKbzVJ4FLMtZ4jTlOcWDbNKJ9cp758hBjX7+c3juimqX3Q88QIpPp+LQWUyqs2mzmpKpuS9+1DENk17Y4a+naltXqhna3ZRhk5bperVgqU3pUYt/crPns6VNuNIRNIkwEMyAnhpgovSemRKU2Fw/u3eHxg7v4wov/tAmUlfj1NNstxhUc37rNye0TGbuatbjCOZjUNc22EfHh0dE+Uwzg7v375Bj57Pln9F2r3kZC918uDmj7yG53yeXlOVX5EF+UNM050+lMxrw4WmYEet3OkBJ15bl1vCBnsZu4c3KP0/NzTABfOm7fPqTdDbQu472YVsUYMX7K1c2KpmkwZEIcKL2lrks+f/oJZTHh3r37/PS3v8mvfvgDNk1HVkmEseCy26vTU4ZgJWPqaHlA13bsdi0ff/IZ3/zmN4VMaTI319ecn5+xWa85Pz+naXbUdclysWC1WtH1A4vlEUPfc3V5xWwh12Ndl4TQk1MmDAPHt44Jw8DZ2RllWTKbSZcRY8Krzs0Yw267pWnktU4pYHOSLhHY7iLX227vvCC+xk6sQzCQ1PcoSZZXzlBUlXTByBhGypLkgeA5ZSnSjGGIaqd6zYN7tzk6mOPMV6Ipb0bRKYqCkzt3MRislSeTL7wE0vf9vpXr+0GtFASvKItCg+Oy5mRlLUii45FM5dESUy8aMr6UmbTtZKyLMZGywRWFCB2LAu8LPTultH9pFEO1Q0VRCkfDOqzztK3wNPqh1w4nSKb40JEydP0g+qnDA9q2kw1L2+l4KduZlBJd19M0DVPt7K6urim8pS5LHj64R9Ns6LqObIwYeBtDjpHlrKbfbWVro4QtEO1NFCcpjKZYbhpJkTg7v+Dh/bvcOj4UP+hSYk7KomC5XLLb7ajqirbtIUPXtaxXV3T9QEhJQUjxuSYnsnE4Yzi7PKfZCtmzrqcM65akxl9VWfLwwX2G0PGd73wHY0vu3jrWQg/bpmU6qQlDy9GdYwA2mzXT+QTrIuvVhrI+4tPPvqAoKubTJW23wTgvwPEwMHMFrZUiMSib13vJju+Hktmk5Hq9wZLo+ldYV/DOkydsmx3f/egThhBxqsEyXmKHcvSEDH2XMSlx//4DvDdszq947/33ef9r7wom2DRcXl7Sdy1Xl5es12vIYur14OE9bp3cousD1zcr6smEq6tLZvMZfd8zmdR457l165jNdsvF2TmHh4cKAUBdVXgnaSVeCakhSPKJJKTI9ZBSZrZYkCl4dvqUTRc19cHIWIcVk7vx2k7ykMrIv3U2C7vaF3v1uvguS+ESLyV4+eqU+3dvEaIw5YuiVNX7Dz/eiKJjrWM2F59VcqKeiFlTDFE4CdbRdQNOafLOWqwbx5+Md06kEHuXO6nWYiHweg0ugGfci9dSFhbnoGmhKbXEKIUtJZFRZDK9ovbCgxAC1G7XqEucoShKxVLS3uTaewmU3xtRJYkECTGyWq9JMeGsoW0F4M5k+iEIpyWJ4/7NTQcZ1uuVMPQ1ddE5Q9Q4V8GvKsqy5PG9Y7CWYRBnfoOMZMJuLmka0ZlJpO6Ki7MzVqs1T5895/jwkHeePOTRg3t4J9+/rgqKYkFdV1IMlcdUlIVuCg2tBryRJebFOhl/nfO8+967rNdr2mbDZn0DKpTdNhu8N4TQ0YeOe3dPKHzJer2h7VrqynGwFAC9rAyFLUjR0ndbpvNDiklFSIG+b4kJ7t97xBfP1rKy1tHZ2ZKdWq0OQ0ddeuazGZudY7NrMdax3vTkNFAWlna3pWnW3L19wg8+/lRSD6InFwmiF5ZzHCS0Lkb+xB/7w9w6OuTn/97f5d333udb3/xAvIxD5NWrV7SNEBIvL69EnmEt8/mUB/fvcXl5zctX59y9c1uvf7kPjo+PiTGyWq1gs2U2mzGfz7i+udZgAMt0NiNGiaCxzgkLOQSJ287qLS3iKMpqwuX1jiFb+iHhUtS00Lzv5PeyhZz3bOKUIQ6D0iQMfdcKYJ+zCHYVzE8GPvr0Cw4PlhRecrXu3rsvBNCvON6IoiP2CGCchOiNbXrWp7RsMXqJGkaA5xQCYRhwSowS71dhN4egqQB606EbqjAM9EOgLAu6rhc2Zt/K5gKEvDf0HB0dEWJi6DrKeqJnIoZefdex2W5YLOaEKNqkZr2h6zvA6tM/q5dM0E2SVaBOR6i+F1Wy98LoBNAN09CLn6814siP9WwbGU0k5VQ2FJO61Mhlw3a7oe89RVHy6vSSq5sVkHj8+BGGzHa75uZakgkysL6JTApPfbxgu+t59fIVTbPj2cszbp8ccef4kHeePMK6hXZHQjArSgl2i/GA3a5lvd5QV2LdOeIBI03h8PAQYwVov7xwfPrJR0ymBXVVgJkwpJ6E49GjE8oSHt6/x0c/+Jim65gvPGVtAUvb7Qgm4ApHNfHkFJhNPJu2xZeyWWq2ohG6ur6k8AWZLAZq3oB1HE+PCX0jZMHkGDoY+o71OrKYT5lNa1Lq2KxuOL51h4Plgm51Q7KRjCcMibaTCJbZZMKf+ON/mIf37pBS5L333uFb3/qasI5T5PLygs1qxeXFGWevRH+XRbxFWXpOT18xDIHNeoUxcHh4QHF8yHbXEkJgMV/K+KTA7sHhEVVds9u1bFZrxV88Q4jktpOsq6oW0H0iTHtrJMLa+Zrnp08JCaqq0EWJF7+fXKiY2uyJpIPxuBy1gIG1YniXJ5LgkdLIYVJvaGvIxvLi1Rn3bh9zdnHFeyGIb/lXHG9E0Ukps16taPthb/Ydhl7rriZQahcTBsn0CTEShqB+I+ICZa0DZJsjYE/eb26Szq3GGDZdy/X1NXVds20aLVKZHCPOS9RM1w20bUPbdpSlvEw5CkGsbTtOT8/0nDx70C0kfFkqpyPrL/TNFSJWjEnZrrKizElWlkMQY+9+GCQKJKnRtwLOQefqnOQGuLlJlGVJPZkQ+kRZlWybjpygLiuGGHj+/JScMtNpjXUlTdvhnVej8AbnHPPFgsPFbba7nuvVDR+vrrm8POSTp8+5e/uYO7cOuXPnDvPZFGMkKjeZzGw2ZVLXMt7mrByqEnKUNAMvTOWUsmZ1z+iHhmAGqrLCRPGI8Zq8mhLsuo7D4yParqHrNkwnJbOp+DUXVUHEY3PEe0vhPDEkqllB2+24desW2+1Gu8QMOOq6JqSAcxFKGHJPjB237x7SDpmw61guJnjvaNtAWU1IOXFycouL1YqULF2fCH1LXdXcurvkZ37m93P3eMl0Ihyq27eOMMqd2qxvWN3cEPqOzXqjnDC5Cuq65oMPvsFut6NpbpjPp6QkW6akvjmTqqSuStq2pW9bNtstYGh2DdfX1xwslzKmOdHB1ZMJReEpC8fx4ZKYEjsVbzrvef7qElyFLwaRq2ShHMVUYHPc51MJE8BgkZX5mJ4rlqiAJrtaJ/eVt8LMtiQscHl5wf27JzRtx3/2//l5zJgj9EOON6LoDMPAF89eArLu9iqjlzTBXmdMpzYLUfED+fOUpVUcqfbG6JiTMtZk5aaIIbswK2UtPQyDmBupqj0mIYJZA91uR9u26EKMphHPW++tbrIM1mlOdS+bJXkTDG2/VW6RjHM5JcpKTLZ2w6AUe5hOKwGQM3ru8rF1XgPlHBgZ1cqqxlnl3KQkOq8sSY/b3Yq2bdj1PXVZcnh8wMX5pc7rMJnUkGUGj0pIK8tyf9FeXpzjvefw8IgnD27T7DqatuPV9Q1XV1d8MZ9TFj/g9skxt28dc3h4yHwmuIMvSgwJmyLeF5q4MNotiOVFGAIX19dMZ3N8b9RPaKKrX4l8Dinx8vRcQWZJY51PF5QFpDxGD2dyGMjZMZAgBupaDLGGMMg4UVQ0uxbvnfhaVwUeMb0qCktVSBZaCpGhT8wOZhSlI/aBo5Mjmm1DURQcHR2SY6Lr5HvcuXPC4XLJNz54j+ViwXRaUxYiE5jUJUHFrs22IcWBolTjLW9JWa4Z7z3zhfjYvHx1CsbJyE7cizMz8t5UZQFMWSzmpAzX19eUZcl0NhUahWFfeMaETpwn9R2z+ZznL04x1vPJJ5+R4iBdNeIUQMo4hSK8EfM8o7igcxZnS7GLKQW+qIrXpvvGCnY3xi+BwWQZ2e7dPmS17fjo85dgfhdgOsMw8OyLp6pLGrklYuSU4qAG4QJCjp5LIzkqazBYBr3QNcA6G5yXilt4T0xbUs70/UBVVYSh182PwThLTlAWXrY+Wbssw74LGserlDPWemLKyvuReOO+7amqUopC3++fImMyo/cilhzFkzHBcjnndcSJgONJjZi0R8KpFWU/RLFnzRmjfKIhZrZr8UO+WW+5fXSAQeQeEkcysN501FXNEJKqxoXgVRSeMAy8885jmm3Dzc21OMcVnsPDQ24dLblZb1ldXxFS5nq14bsffc5sWvPg3gnT6Zyj5Yxbt44wGSbTyevOTcHJGGTbd3ggETez6X0+e/oJ3/3+h6xWHXfvnvDq9JTJbMpuu+Pr73+d+/O7PHv+BV3X4pyjKiTNIGdL7GWbst3ulJHdMpvOqcsJi/mcq6tLiugl7tdkfOHIRFxpydljC88QhG1cephPK7yByeEh88WCy4tLfFlhvXQcDx89IvQ9i1nNN7/5DeqqYrGcYa1jtdrwg48/5smTxzTbLbtmy/HRkhTkWlkeLNlsW16+PGOxXLDZbPjFX/gljo9v4XyxxwidlUxwskT15tWK+WzGtK64ubnZP3C8K1jMZ5rLZakqAZY36y2Xl5e0bctSTerEH8nxU9/+gL7rcSqfKYoC7wzrtZBgC+8pKkkGdVbW8GQoC6dROIJRDkEwpKoScmqKUV0MpGMvVND68vSSv/Wf/R2a3w0RNMMwsLq+FgOTnMG4/eZq3FYxbqZSxjorUbZGiFHWWTVtEtxjH//SC+mu7wew8n/rHP1mQ0ySrW2MIfcSTh+/RLAb9SYg1T0VVuNAJG5kn1GUZeNjHVRlSUz6FPFyvmEQub+MYjK6pSHy8uyMm9WG5XKORTQ04vyWKIqKmPLeM8WqeZbzYsjurOAdIWWGYUqlGFXbdUym92X8DIGcplQT4br0fc98PsM5CynRdj1dN3BxdoExmZOTY7bbHTEMvHj+nLKqmc9n3Dma431J2w/s2p719RXfub4G63WFO2U5rfn9v+fbnBwfagrCuC2T83AahfLhR99ltTkXdvak4OXFBaFP3L5/CNbx+bPPccbx5OEjrHNcXJ2xayNJu9owJPGh9pWkKXjhIu2G3Z4FW1SemALOGxIDVS356957trstPlsWiyXV3QWVK5jUJdvtltPTV2zWW9pOcrwe3rtDP/R842tPODm5JWkgizk5ZdbrDU+fPuPhg4d0Xc92u8Nby/e/9yHf+MYH3Ll9G/fsGVdXn3FwsJBzTZmXL15RTyZ45xh6YahbA31WY/4kpNQUIwcHBxwfH3F2dkaIkcmkls2Qs3sJhHjfZF6+OhWV+GTKxeUFd+7eA+DJw3sY4p5yklKk9I54ciCLCO/wriAZ0ZKZnIhRJDbG8FoWofdZoe4JSTlrkuaRZEtsLCe3jjk6WND8bjBml9ygrJIECQgbBvG5Hb14R8zFOgtR+ARkIaNhknZAUmFjzAxaQMawApNFgZsNOGNwKVOUBcZYEdAhDFLnZD0fQ01GcSBF7p0VA6TCS2GzuiUIIYihUYKi9Az9QOGFS+GUR5GSBPl55yhLIz+buCAxmU3xThIWjXYjI1hXFOJZnHUTtgfzDJrdfsTlxRXdrmEynTKd1tSlpfAS/zoEkRGUxSHOWdH9DJHZbCLGUljBELqWOAQJyZvOsMbSbGXMdN4SY+To6IjldMbi4JDVpuFms2Nzfclu4/n+D2pObv2MjJ9jd2jk6blei6dwVVXkG8B4dlvBHspZyWpzw7BrmU8PaLYbnj77gvl8zsmtO0ymE65vrlmvVvKzG8G7hhDIRlr9u7fucOfkNqevTnl1dkrb7sgmM5lOsCFRVzP6ITKrKrXNmHF5fUMTel62PdjEcrbk9u1bEs+7XXFy6xa3b7/DfL5guZzvY1/6GKmqilvHh3z26acY5ykKz9nqhpwM3/nu9zhaTrl79y5/4A/8Xr7/0adcXlxSVyWpstpdJ+2+Ixmz3z627U5sQKw8VFerFdtmh8HQdYNIX5QYKORQx2q1om13VGVBWXq+/rX3Ob+8xlnLZFLLdk6B3a5HHBQR7lhRyEgsHCQPSbSL3stDzVhZ2tiRI2cs1siSxFm5/jOySY1JDPF/z099wJ2zc/6jr7jf34iiQ4Zd18vqOyWGndDXjfJXun5gTHmQKFT7miDlnIoE0c3WmKFtXmuQFEfx+uK7UViEPJGtNft4mJGK4EoZzawd/WQMGAmTG1f2QYPtrXWYnDBOilA0kqyZUsQOgm340mGt2FWGEFguZvsW13uDdwaXhAPhnNPuyEvWd84UzgqOpHKGIQSMhar0VHWJ20gqqrVClBPOk6zYvRYg76xG4bj9lk14PDLCGAx5B+vNWoSqC1mXOysyhdXNiqhm5wcHhzw8WVLUUz7/4iWb9ZqRTSecKHS7ZumHgaEf8EXJZDIhZpFjAFSVjNKrxtB3O3nCxkizazg7PyXlzOHBIXfv3NOAQRlZnTEY6ylLj7Oe84sLcoZH95+w3qzZbFcMQ0+fM2VR8MHXv8V209D3Az/4+GO60FF6L857hUTGhGHg4PCAu3cfslweith1OWcymSrHSED8zWbD5599Qt8PZFvw4fef4Z3j+GjJYlrii4Jnz5+Ldu3yEucM8/mEyXSKtdpRG7PXMgUlnZKlix/6Tl7zYSD0PV71VJJpX2GN4IlVXVOUJYvFQjk2mb6Xn6M8OBBJD4k0YixWeDghBCWjZvEjj6MUSDdTWWyBUzaEYQAjZFPMl7axaWQvq2bLepyBn/mZ34O1jn/z3/zht/sbUXRyzgxDFNNsECc4BMswSZMejWRTd0PEJScFxEiXNILFznkBmp1lpCsU3uJ8LeOXFi3rxKMmpYxNWR0FM9a7vei08CPfx4CRAjjqmpwztLtW/XBEve29Q/yDO33ai2l8WQrQ6Ky8cWXplZdhwFict5g8IjjSrqY8+tcYTBo3B2OhRGdsLUaFgJainXK0bcd8WpGSmEkJT0hM1oP63hhjtJtC8SpHyIGqLqgnFbNpSYhJvXZbbDXFmExZlGANMSRevDjFmMy9e3c4mIsp1eXFBXdu38YaBfKtxXnPdDplk7YUvlTiZiIMgoGRAiEIGTHEsCee+bJgGHqwlqubaz77/DMK75kvKoYQAHk9Z3XFNz74Fr/8y79K0whQ3w89jx8/oqgKLi5fgZGomufPnnF2dkXpS2aTGRDBZMIQudk0PH70mIeP3qMqK+q65vjWrf2onlLi6vKCzz59yqOH9/npn/oWn3/+lM+fnxJCpNm1TCYTDhZTLq+uCUPPbLZgt2s4OFhKwXEi1xk0lDHGvAfcnRuwTkzcdjuheVhj5OGVxfs7xcgwSMczmUxY3dwwm83JGTbbHdvtjmZzQ8zCJYspE2ImpV7HIhnjR23faLdi5CaUrZcTJwPjPCZqHjpybWO8FK0MXukhMcm/zVl4XdZYrPldgOmgL67FiILaO6Fj68PYG1GB930v2izVJ42rcmedZDZ7hykFD7LOqlO9qquL138/xpGHIG5qKSUiksjonHrsBvGhzTqmyQwNZHGAs87t+Sn7LAN9shsdueSpz36eFvFoFr6RkQ5p3HyRZRTTS2DvB+T0a2Ad3hqczfRhEHa0KpmrUjYj0q0o0o5wl5LaFog0RFryIQwKdGtXlaXNH592y8MlXdtTTyZMJrViEonNZksfZARdLOZsNluev3jFu++9R9q0vHxxytHRAYUv9kLCnBLz+ZwXz19SVxPAcThfUnkpKG3XAEaUy6WQzmZTSRcd+o7YyWbKOks9qemGRMpiO1sWjrt37vP8xStuViu8K6nqknpScX19RVnWvPv4a9w6XvLs+TMuLi+Y1JM9j8sYR9O0nJyc8I0Pfpr5Yk5dVSyXS6aziZqYOdq256Pvf5+h3/Ho8SMK71mtxd5jNp3wtffe4cOPPuH5q3N2zZbF1PPuO49IMXLv7m3KaoJT3Z4kW7g9fDBSK2KKpCBYYVJzusmkkk5RCZ5iPVJJtpqCt9aKCZjznjt3TmhnFe2gdIq6ZteIQl9oEpGuFwX5rg04K0uNnKGuvBiy6e9X67XEMvWBHAJ9jFJ8VHOYs4xeY1Ktd4af+X0/LVu73w3bK2MUPbcWm8Wf1eg4Y5AEQ+c8s6mYXA1hUPTc7TUoZEksKAonY82X9Vghqb5pFLmNeI7BRrMfu8QrJKs9Q9qPThkIIStTOalPjXxf0Vcl0tBr0UCLnqikjbEkZZCmFCh8gU1ByYuQU1C5xuvRZCxcjFgWRk27RHuWYsSpk6ao3T0piD3GYj6Tc1eypRNrPIyV1XxyGecKcYtTCoJMo6qdSlG3Xw5rM4WfKtblqKfTPdAJEkvz7OUZg3Kntm23/zmtEf6OxVEWhoODha7/J5jU6/sSqIqatt1QVZX8O4eylSWex1nPZrPl8OSAIUW6toMkwPT7X/8mZ6eXvHr1iqqcCJM2Qc6RGAbWm4ab1Yr5bErhDTbLQ6esJ8oRcjx5512Oj4+p6wpfeA4PDkAeVaSUuLg85aPv/4CDw0MePHyIyZnz8zMuLy+p65phsyWFyMnxAa/OLiiLgqqecPfefb7/4feYzaf4ogYjBvcxJuIwCP6otp6GRLvb6bMiE2MQMmmOFGW1Z1bHKAC5dYKbVWXJYjHnZ3/2Z7i8vMAaaHdrlgdLuk58bzKGph34/kefst62iGGioetFDO0LT982fONr7/HowR3QrvnDH3zG9Wor17NuU2NMuuyQe2HUdglhUA3ii1IXHT/8eCOKjlXQy3vZNAhgK7OjjEjCCaiqQn94KSopJuq6VDDZ6ao2a6qERBCnca0eg2I54lvsnNv7tcQoI9MIDsUU9XtKARL/Y8nSysoIDWHYa6ayjhKjWlfEk0bHJmEeywWlOBNJeBrKGxJMqWSMuhz7nZRfA8ijb45RDErwqEhZiGvefDYDZLwbR65x9IxhpBD4/SpfzhcwKtEgazFRoqVTDU9MlKXYe/SDbqLKci83qcuCdteQYpLUC6RFzyOV3gPGsjw44PLiivlsyeXlM0JkLzfxzhNDpKwKMPqASJFyUtF1A9PFjO26kyf2EJlUNffvPeL87Jrnz19QlJU+DAJ9J6vouq5xrmAyqbl161g4KO5CNEPWcHJyi6OjY8rSc3Cw3HcLoySlbVs+/fgThr7l8aP7VFXJ+fkZq9VWnCDJlN5zcrRgGAKHhwuqQsb+yaTmxctTimpKUVSEnAm9yG5IUhBzSiqNyWoBK2CwCJ3lfY8Z6qJgNp9jrKNUMqUwkgeMNbRtx2q15vpG7E0PDo65ul7J6t9aiqJk2+y4vFkTsjDjo+KC1gqp1PuSajITh0gyMUsUjbOGoJww6x116cU4346Sol6cFHIi65Z1Op3tH+I/7Hgjig7IJmcUdAqlHIpSiElGWcBtG/fakpwN1iSMEdp76UsZclIWJizsQWQMStiTJ9gwhC9JJXQ7ptiJM4aIsJhHP5Go4s4YAskajJFOaYwFGTsSXxSv1/jK1I1BbDKts3tNTFasRcDrxDAkcu70JsxqjyBA7PjUzUnOwxkjr03hGRDGbyJLxrtu/aqqIKaMswWQCHuMCHxZqK2manVS2gtNfVHJChRhoo5saRQUdkp4kxvYU1clhwcLrDXM5lMuzy/YdQNVXRH6/jV+ZK2KaD11PQMMk8qz2q4p/YzCOdJ4owV1sRsCqB2sNx5nK3LOTOopk3pKVdZ88fQT2rZjCPJzzBdzbAVo9zcZjafiwJ0793n+/AsOD455/OQJRVlQVzVHx0dioaFd8DD03Fxd8/0PP2S5WHD/7m0BmvsWaxLLeYWz8iCLocPVHlvCer1hMiloW8mMv7rOzBdzhig8rJAkNKAqSxEH9x3bpiGFgYPlgjgEki8gilxntHQZQqCqapwRN8YUxVhLOhDZRn7/o4+5urzk29/6gCdPHrHZtjgvYuSiKJQe4klDxFuL9WKpar0EHZTeYRl9rqWrtgYKJyOos0YE2M4xLcSFEzMVqxlr9bUXycx2u9Xwvx9+vDFFx1gjGyCjGyVGjoeVltCK+lkASrHzjDljQsQ5u59NxXZRwJeojn8CiI1bg5H1K4Coc3nf1qJPub0QzjpigsJZUhjU5sAoP8LuBZelF+OvkJKsvmPA2ELzoATUHoYg26ch7nlHOtTrWjztx8x9tC6jYl46NK9KenAKvgey99zcrAkhcrSUG0i2bUpOTLLaFNIlIrPIiaDEvawblNFKQlaocmbZaDekxWnsnKQDkgdA1wX6IXByMmMdBjabhsPl/EviW3kwTKdTmumOplkLiG1gUtUAVPVEkge06KQcMBi89UzKWvyVrYyqXReJseXZsxcATCYTkXPMZ5IO64Vu0LUdXduy3awpyorDw0O+/a2fYjKdMJ3OWSxm4lKgD5acE13b80u/+EtA5utfe5e6KuX1tpZuEBbuarsmBnETmEym7NqtdA8pUZUlNzcb+iFy996hjLPZcL3a8er0lGGITCaTfQqtIePIVNMFu2A4f3HO40d3mS8WpBho2kDneg6WB+OlwjAEuq5nojlazlmx8D043NNLmmbL0dFEmMjOY6xs1oaQ9u+LL0usAuyld0zqirbt9tyfr33tPbV7SdSVQBkppz11YOh7jTUWGVJZVeQUBdNSB88fdrwxRUfMphWjsVbuMyXa5SwGWEFB3VH0JkkJQW9++To56Ro9R2wpI4tF8ZEkEv6qnkh58ZAHUYQLnV5WgoUXM/ScEb/lQkmBSf5fFGIMLzdjpt0NQk/XkVA8TTK+qIghaBciG7PRJsPoCDjqq2QsQ+0wzOvXpSilzQ0DKYqDnrF5f3GEGDE4Zej2+PJIdFud2oCoIVPUbYWxBmdkgyZcJyk+4yo3pSgqdmUWpxQJih2pIkdYzVm4VdNJzaZpxIAcePr0C8knqyoVvHodB8VOZDKZSFxL6KjKkhAM680GjCV0ouovCsme77tBTKo09K/rOpyz3L5zxGa1Zj6rMcpXEWvNljbH/WZmvljwzjtPmEymFEWh2VdHwp5OWbLXTUlKAyEM/OD7HzGtK05unwivJkUur65YrdY024YQe6xyx1I2xNiLoDMD2bDZNgwxcffkWOKgOxl9Uob5bMZqu+N60+j1LkLlhOHl+Y2MO9UE60rKMjMMHeW4udTRPQSRxExnM4a+VfEmvPvuOzRNw2xa8/yLz1nf3DBfHOzX484kvvWtDwhBeE5lIe6U282W+WKOyYIXWu+lM9epIGXou5aqkus4RNkGixgZvJVsrzgM5BRZr1aEoaPrfnRj9t/xI6v2KSf2W6O6KjGFXFAhiohvxHiSrn7JWUV1GZOjXNxWolNSyvLENGK7YG3WDZFVo6/xhheegrFO1tfahIxEvNILZ8YVBSkEyGLnIDKMqICrURB5XN87nJNEUKHwZ7XtUCJkyrS7VotlYnT2N0YMtNECKpvKhMmW0hfiaavYhdP5frXe0feB6WyiauQdRSEMVDNyKYwUT6/grZxfQew6rNPMA2twxpL6wBBk05aybNrC0GOd0OLt2MEg74dXs/jTV6f4ouL09FwJjFm/j913R9PphPWNpfAVlqTApKyOM5FohJmbcsKXlhw9KRvqSjhRy8WMsvR84+tf45d+8RfFq3joaZuevhvAGpaLBbdv32a5PGB5sJRrxlpm8+WeWiG9c8bo63F5dcPHP/gYS+bBwwcUpazlz89OWa/XrDdrUopiR+KFUDqOwhL94rm+vmbbJu7eu0dMiavrm32WeFWJW+GDuYwgnQLDCdHTiQWoNMDtroHS0bYtTTswm80VZBecayyGVlfb4ugoOM3QtxgjoP1ooO6d8MrqotDkE7F2cdZiLYo7ql0tEFKi61v1ok50bSv4oo73hXcYJ6ZqZVXSdz1NswUys9mM6IWF/1XHG1F0JBcZZVkKD2W9lo1GUSpwloLOj1nXyYmMMJFDCDgHNsvwYTJqLA3WabwI8sbmFPGFEPfEtX4cFaIE5yXA5n1BGfk2MUncbMpRL7i4Jx8asjKOE86jGxyZhzOBGCNhkC7FGskGCmH4x9fpTjyEshKusnwBhhQZAqongrhfiYuheQhbVtuG2XzKdrOmPDwQDChnIpm2G3BFgXV+vw411qmaXQoIChjLRCncGqEFGPIQlPIu835WlrOQqRW/AnZty9Fsod8nqZ+v4DAhiBOgtY5sDAcHtzg/f0ofItbUEiSoTOtxU1IWJdFF4hCYTyd7KxKjr00MmXWzwpeeqq64fXKH23fvsljMKYuCthMzchFJelarDX3fsVjMWbXSQTVtz2efP+P5i1f0fc/t27f5/sdP2azXVKVjNiler4dT2r+GsvWDPmUsEmPUx8ztu3fJObNtdvTDQF1PlMRX0Wy3NNsNs9kMo6zewyPxzzlczri4uGS92cJUvJlGqGAEjo3NuiSRbsSpTckwBGbzmeBH3Y7ddk3ft/hS1POWpHotQ993tMonMuq9LRtR/fkQQag8jGVRIE6ZhsJ5XIoytgehK6hIiKZpmEwmlGUJKqH4quONKDqAYB/Gkk3er5uzjkTWCyM3BMmoNlqlrVVOzpfIdimqPCFLFpAQ1MQAybpMTkGrOHucw1pISW486wrIEeOc+MMUBcMQNRlA4mnCMOBcsS80OUfsaLFqLCll5ekYvZEsqG+t1BS5gAGMUfzFuL1KW5wQPf3Q432xH2XG0TEoyBzUN1mEsILxXN+suX37WLZHSh0YNWRlVYEZVKkPyYqXr3UWbwWLQk0pi6rYj7cA3or9wTCIUZdNRrPTKzYb2eYMoWdzsePy8ppHj+7pBhLdxKixmvNU9YyULKUrsE58Xtqu0zQJ6TatsbRdx3Q+JQUZ+zabjfKoMkfHx9x/+JD5bEZVlVS1ODiWZSHEvpMTdrsdBsvV5SWffvoZj5885tXLV3Rty3q1YrXtWG93uKJk07Scf/gx22aHNbCYVjy5f0xdS9SPUdeAsvSqsLa0bc8wtAwhc/vOPcG4+rBX8rddK9FEk5q6FOfL1XrDbT23OPS0bcNFv8M6x3I+xer7L9taZXArsbXwAub2Q2C32fLp50914SD6qqosePfJfRE0Z8eu2QGRHAeMz1hkMhilJBL3JMb8MQbZrCWJcIop6QgZ6QZZmAxDUFP+Ttb4iDxCOh3Dp589o+876eq/4nhjik6lxLCRNRzDqL2Sqh8RbZSxr2X1MUQCg7aKXqNdEsZ7YQkXZp+lNDIyY8iYbsBaFVSCoqZpJPxK/UIIaYbRQznsi1mhBuvWGu2olGcjm+m9Ul74MRaJBhO7gBwjCVmnWyXdQcI4r9splFyX1ZBKOsD91o5xAyaFpyoLVutADFFz0dVsPmcK5+mzuMrFnBmsdJTSvYm+xlpHipkwMlYV/BVPn9GmIhKzoXCOPkk0SxZwQ50WhXlNFHD0i2fPefz4voDg2ShQC2MLvtvtqOtDmt2WqCTKshScbAgD8+lcQNiQ6dNAWVbcf3Cb6XRKVdeU5YT7Dx/uV9zT6YTpVHCblMW3qOt6Uhi4vLkSNjqJ68sLUpIYnflySTZbml3Lq5cvESuSQNv3ZAyTSnKssnKOYs6vCahGPbCTZzo7YLfbiXJcBcqTuiJG+Vmvr6/ZbAoe3L8PucFZy7Nnz1geHJBi4P69+xzfOmK72XB1fcP6+lp4SlHSGKqqYNtsJQvLO4UWDK9eveLs9JSicNRlSZshz+cY6/n4088pyil37j8AMv1uS0zQ9xLJbJDOVNj3SjXoO5pdR9uJQ8IoZRkXBlYXOt45MRDLeZ/YgRFdI9oZvfvkIV91vDFFJ2d5+lojL2weCXPKR8kJyStXjxZfeNhjKGLuNcaoZO0MhhBEp6I+O8MQyEDxJW3QoHYYe4YxWU2gMjmGvU3DuDKXcSzpTSu4Rsx5D5gOIQg3COGhjGtnZ2W27gYh+AHkJMzgpDwxaw2Fk07CKFFylHSIRieTc1BFvfyZxPUscN5rFIgkk6Ys5pPeOWWg9grEW1xR7bkiUXEmZ15v40DAwiSuZ3i9+Pqc9xElYyDqpK7Z7TqGppM8psqx2mw1ekeJl7o9E5N9AZMfPX6Hm5trtk0jPJ8cOTkQQ6zCl7odmuA0TaKqatp2hysKnPecnJzgnFevotdMc4H19DVLcHm14uLykqrw5Gy4Wa1otlvu3r3L5dUV69Wa5XyGtZam7bi6WZEUgM0xEVCRaRYSpWw3zX6p0e4awceCeGOLb9PAEBKLouD2nbusVyuur68oioJ7d+9yfXND38u4+OLVS07PTlnMZzx7/pJpXREHxIqEtE+uLWIhm0m1cmmaHd4J7yenoJYTEhaw3bb4Af6//7+fl447J4qqltA9J6EFkhLRc3ZxrR2pyFyKasK8rvYWwO2uFazUaAdAopbn6z7KOMagPLZA33S43w08nVGZHGOQSBSN4ygrIaEJd0eUt8KbydjXhM6932uMmcJY4dMYffruCX95b5MRx42YHVfXEIaIc9KqSKMgGEMgiMA0RiXyWerplN2ukZvKOuHuiBIRawwhiekXKSkInqCQTUCvZtdCsAOIhDhgomZchYhzagWJEPKsMdLB9BICmIPaFVgBs4chcH19w9HhUnOpRSYStPNIUfkyRj17shRZoSJY9RDKSlrUgqgXVtt1YqXg5bUzSkwcBlFD52FQ/MHQNA0Hx7c4v7jm9PyGW0dLxN9+5CZ5IHB4dMTq5pqDgwMmkwne3xNWq4F6MiWEoOmlBcbKSriuKo6ODzHWafBgRR8CY7if4Gsipl3fbLm6vubVq1NOX72iKgtOnjzcb8+2my0vX76ia+V7CONcitxkMmG769gNkavVjrsnCzJBMKaUiVG5UGXBfCZ2r1a71BDUiyknlss5l1c3NM2OJ48fMpvUrDdbhhiYzBdMUiSnSFWVFEVJ02yoy4LrmzXz+Uwy1Pqesqo02UMepCGIe2VKEr5YeMmXHzPbxMVAYoUtgXv3jnny5PHeQ2qPQxrL1c2aoIz3FJUWYQQ+6LtewPOkD3YnGztDxowjgXOyG1WGesqSYPGr3/voK+/3N6LojJiDJC2g2VfCUs3OAuIzI604goko1Vou+EzMcf+Uzzbt2bRWg/SsgaybMBmpdGtlJNtH1rrCv4lRVuFFWaDcaAHaDMQkRu2SbSTFzjsvmzLrhMRVFrpBM8xmU4ahZ1LXDOrPHGLWrVlQsE4jYADnS4YhUFeC/xQaEGgM4v6vxLdRZiD5WXm/Pp+6UiJDkFHPImLWbPXpnEfNF3sMyqjthpE1hZg5WcFtvI4TKDgf+yDuc9btzcnKwrFr815+0A+B73z4EX/sD/1BSdmwBm8BJ5KUvg8slgdC0EwSKjgeTk3eC41XCUE8dKwrFDsz+lRPTCoRpvZD5Ga15ovPP+fs/ILNdscwDNRVwTuPH3B0uKRr1vRtT1ZKwMHhEX1/Stf3CqpnSmOZ1BP6kOhC5uWlYEh3by3IZGIaREgZBhrdZI1jozxMHN4XDH3k6dPnPHh4H2Ms3/3wI9575wlX1ze0bbunQSwWc24dH9HutuScZeTKme1mQ04Tjg8lrDHnzHQ6FUKfUhveffdd6cCdFb2bArjWee7cucOnnz1lOp3w+NEDwiAxwhbRd2Gl27m6XmtHKBFIwunKMv4rxiojptwPWp6EOZ/NnsuV9V4LfWS3a9hs1195v78RRQfkqZp0Y1Oo9CAlWaV6NUGSFMywZ/12/UBVFNLeRtkIvLZzkC7AGgGPJQ7WMhlFbWSMcboGla+NGhaNzF3BdJQhO3YDFnrFT0Q1LN2MjG89qKeOdaWYrseoIK3EIIeUyCbtN2oYREelrapQWmQkIubXsTfshzIFzCM4sevIKbNpt9y6dYhXCwRrnVARyFK4UsIaXfsD5EhO4s0irN24pwqEoGZme6Bduk0ZKeUsxM5AuEWz+ZSEYbfrNOAwc3Wz4Xvf/5if/vY38DYpu1wzzTTGNgTJpne6NKjKQsHLgC9LLTiCGwgO5ej6gRcvXhD6juXBkovLG37lV78n78MwsFzMeXjvhMODGZW3kk5hE4MVT5oUo36/wLe+/QG/8Au/TExgXZaRR2N7103LJideXqwoioLbJwfi2WQiVVlRqMbq4vKasqol22sIqhJvWB4ecn52zp1798mIj9JyOccXBdPpjOubGz57fsb55TU//Y332W43ghMaQz2pSSlRTyaM2WUpif/xbD5T4adjs96RvBUh7tATwkAYIl3fU1UTNusVv/qda77+9fekM8aQsjgjxJj3/Chr5V4botIplCRrULggxb33dNAus6oKjPX0bc/F+TlDJ7jWgwcPuHty9JX3+htRdIyR9a+j2NP9x8+L+E02Q1Zl+VmJcXLjG1IapCJnXctqpK7ivlKZ7etMrJQkpkSeImlP+d9zdDTbKunqkCx8mYTIJUACyOKQ8EWJNRmZYaALPa4wOCt08ah2FkXh2XU9om0R3MgXpfAkMuqjIkBkWUrkiTFGcSlD1hFO1t4CDBsVnxZFSdCL8tbRkjGKxKiANOhq3DlHr3jT6PY28qLFNlPsRYqykq4F4SpJJxopYB/eN5q0xxAg6yIgJNq+ZzGdc3V1zS82O9abLd/8+rvcu3PCaMlaliUxZubOq/2r2xc1E6XQ9MHQNh390NHsel69OmW7bchxYL265qe+9QFh6Pni6VMW05pHjx9w5/YJL58/ZTapyTkxnwnjebNt5AGgpMGi8FxdXvLJJ5+T8KyVJJeRrKvSu73TwRAzpxcrQowczCfs2p6i8DS7HQfOU0+nGOuoy4KUdsDAweEhbdeTqlrigcuCuhIFvHOeth84PDzgZrVWntAVi/mMq6trJpMprheLUdlcBerJdJ8usl6vODs7EzgiDNS1mHeN7gLb7Y4Y4cHDh+zalt1mzdHBnFu3T0g58dlnXxBjpO0Sn3/+BUMCZ0bbFrEDTtrFvPPuEz795DOBNWwiDiLCxRge3r/Pcrng5uqKvusoioqm2fHy1Sl/9I/9ka+839+IopNyljxv1NJh9NCxHq+ueWP7mpEXZbyAZO4cn8ii1RqtGMZ1bUpjgqbO/nozYWTDFfpeOTLyRM5Z/XCMaLyct6QIKYzrZqsYiFWxpK7pkaiPvW+sl6iQUWhpVKdCllDBnEdxpIwmhVLKR0ErWdmjzmpXkUSjk2Ujl6L8bLt2p2NaoTjPDvEBgtGsLMVBVp4pUZYVOUbJS9LxDiBFAx5ln0YBHsfxDtQmA43Rhai/l1+WwssG6vLsJcujE5qu4+Liir97s+L+vTscHx5Clp9t9LU2SBieLwqqsuD6esV6u6XdtWw2a3a7FmutKM6dZT6tOZhPOVjUxNBxMJdo3mG35voiimQlyqJh7BBBRk2x6BTiZMYwmy/YtQM3qzXZOiaVePhUpacYPM2upY+JTRtoz65pu4G6FEHvpK5lhW3ZW9QWRYnv5XUeZQXDMDCZTml2jcgJSHiTcQa+/t4TXr18ue/cMdA08l46X+tywUt3OLLSk+RuhdBTFLJsGQb5OPaBpmnph8TF5TWL+UzNvyI5BE7PLvnoo0+wztO0YrMaiTjjyCq5STGTNcSv72W0CylhM4oryUSyaRpmsxm+KLDOsdpspIvsCzZN85X3+xtRdGDEdVQHNLby41NWn5BZfYOFy6Fs2yx/ZpwjxIGcjcTMOk+KQXkJVrYPWYSh46gkhUu+r1GtVUqGOPSAFEMRjcpo4FSQ553bd2MjYXFMJa0r2byElPe2EX0vuiuhlUkWtbyBSYLplZVsrGQnJS26zokNx146YcTtzSTdjCGdxii8QzcJZVnSd5LDJRaTQmmvCuGKJMWljHGqWZMkgJREcV5XFTaIYZSIDx3JSDwJGTUVFz5NWZVYl/ClwdoOV8i5ds2a48MjVjdX9EFugtl8xrBrJI0jQ6ddQ9CxWCAl+fmLwmsnaymcJTsoPOw2K2zsOTs9Y7mYslxMidNKHAr6nrqsMFZwijHre7FYMJ3OOL84p+ski/tgMWc6X/Dhh5+I7CMETFXgjaGaVKw2W5yRCN3eOUrvMWbH0bymKjyD0juSbrHC0AsBMSRublYSyxszp9dn3Dk+4Hg5o1BZznSmOsCcJWOrH5jUNYv5gpOTE9pdx2a73WN5o1WE6A8LIW12iV3TU08qEcdOKoaQ6IYBY0tSzhyf3GY6ecxsJrKPzWZDCJHtasOQDG3XkQw4m/cYYU7i4Z2N4emz5+zabv+aRb2ep7M58+UBETH02jQ7nLEEImVV0fbDV97rb0TRMYhvcTaocVfCuRKxOUA5Mdq1xCDkPXhtgWGdBOZpgTK6oTJGnvYxZYrSq5taVFKhwRhxWHOanTVS0ZO1e/m+2KMahiFhrKfwTt0J3Z6/YNQKNcXEru2lK7GQjehrRiV3VEtQkBFufNpDptBCK1u8SOlEagBq5bH/vZWfJYqbYV1XstZ2nvl8psJZgytEqT52dSkmutQDhhAHdYiTVbPYf4yaNiOm99ZgnMOXJSkEDOohrWr1kc+DcotyTkymJWaXOFxO6HrHZnWFwXM4nyNU7YAtxBu4wFBOSyDjykplE9KF3tzcQD/gSk8YIsEJtd4bWfuutzs++/w53/j6Y6aTStjRORO2zZ7fNbrijeTQrhvwXrqXGDNDaJkvFty+c4vL1ZaM/lzO4gw8uHuHL16eMowPAE3vNFauGatZUCCg92a93QcSNruWi+s1QxTscNO0zCcVZifj4nq9xXox0w9h0ELicSZzdvpKmNz6dYsvaQ69d/RNR6dSFbDEZNh1PU3b0/aB5WLJweERxsBkMmU2m2CN5qYheN3lzZpkPW03MBrbeef3uGoIIkpebTaKczqFQDy3jo6ZLxZsto2QVTV6aEw4uby64fTV6Vfe729E0dHNt2yVFJ2PQcR/QQVoTouCKI7FbT3pBml0BzQyP+G0M7BKYHNOsJ66fr0JylGNva3RTVLab7NGDkzlSl3lWtHjDIHRpyYMciFY6zE4IclZt98S5GwVFBbcyRrh3YzjiFiQjlanVo25LNkmyK9ZueKRrH8fUeLLiCes2JQiXT/Qpo75fIJJqifrxAAtadEZkyWSKuH3/rYxChzlZB1u1AtozEhCsSRhXkvBFFlI2nd84+4pKzEvmkhde+pyTtsFmuaGkJBCiXSou7aVzrAsZCXvhI1tnWM6sVosChEfEplOZ9R1TbPr+eyLU242O7bNjqoqScMg7OwhkIywq0MYqOtIVYl8pSwLuj4QoiEbByZxs1rLzx+CXHdZNo91XZOw3Do84Oxq5LHIFm7XdhSuYnWxoprOKXyB94b5Yq7R157JZMp8fsNm13N+cSlaJCuBiov5nGEIAkDXNUdHh3jv5T2J8l4WKs+Ry0e8bYYQVbKQCUEebvLAsThfcXB0xGa9JsbEarVisVjIa6ocI2HXV6y2Dbs+4EqxvMhZDOGGMOzjndCuh5zHS4DJdMZ8vsB7z8tXL9k1O+7du8t0OsNYS9PspNMOkdPTs6+839+IoiOH0ao73iRGPJNz/hJm44Q7E6NiMuIgN/QDMQobcsyGknZRQWkjBEPnJYPbGhGtRV23i2ueYD6GMXxMWn07gs9ZrUCRAuV8SYgitDPIqjIjEg5nrTBZVRRoDMQ0iHgyRkzOouK2Fj8KTgGU6DgW2LzXd9nXndioBg9iqbpebQlJvl7bdVSl2z8hR5MoYG9Av3cmVJKZtZY8rsRVwiHwlNVVtnCXjJEimnImoR8zcqUMGEvXbOUidsIJGkhMas9k4klJo2lCVAP7pVhwpKRWsEoOtXbfSYTU6VZGNo11Pd2vcjdt4IsXl9ystmQyBweHhGyIXaSqBDTvupbpVLyFo3KLhhD3D6icwfuCxWLGEPOeyzSEgLOO5XxC1/dcXq/YNJG68GzblmbXinbv/IbHjx6Qc2Yyqdk1DcZKusOdW4ccx4g3ie2u34taU0pM6wpz64iuH1hMp2BgvWnEmqMoJa1jPlMMTd6DqpTX8Oz0lMVCyKDTSS2j43zOF0+/IIZI24rmbLRxSUnHd71udm0P1hGGHmdl+ZKUZ2WUbGv0fTVGtrfee+azuWBnw8B6vaUsS7bbhnoy5fDomKISHCenxBdfPPvKO/2NKTojC2A0MBpxlzGzx4ztPFJ8vEN1IGH/omW9YQwwDELmq+pCQWF0FFBav3q+SoGSIpdzxjnZLCUj3i69FgQZ+WQbNCrbR31Y0u0WisnseUTGCaUhjev/oGtL9csxktNurazNJeyu2K+IQ4yIg4YEBEquq3QaaRDj7aggfF3XhEGEloUfUzHyvugISVBNnsf5XfkYMoIFiR2DfUZ8Np78pQ6QnNRcviAnQzKGnOPeDlZEqkJ4SykIyRJV0DuD178/GpyNXtQpD/o6pj11gGBICOjubcV2s2M6FazNGMu6a/n81QXvPLhHYeF61bBcztlut2IL4QyXu5bZfC4xQggYPnStdAfOy5YuJabTCTerDWMstXhry0t1uJjRti2btqePiYPlgroUVa90Tq9dBO7cOeHq+kaIe4WM2PNpTdcNzKZTJpOS1fU1xhgqXbHvWnEFSElA4Ha3YzabUVeVyAqKYq9DizGoqbvnQGUUNzfX7FopglVZMJ3UrNYbLi8vCSFKp6jg7+n5FYPquqw85Yh5dIt8zZeTB588SLwxVPWEq5trurYVQzH1K885M5u1e7O90PcMMdC3u6+8139TRccY8ymwRiRQIef8s8aYY+AvA+8CnwL/cs75ykhp/gvAnwIa4L+Tc/4vfjPfB0Zdk6DlISR5yllDYWSuL4pCcB31wPFe2KDo6nuUQxhjxM8mCplJGLpZOxuDc4WspRHMxBsnxvBDlNFCNuPELHaSBlnZg9z7e4dAY3T9LOdr3ChAFddASU4sCBnJjwrj+dn918hZsrpGwqG+6ns6P1bMt4yJ2n0YVcjnvdZK7CygbeUikPgXSUzI6vc8Wl5I5zfgnCUMQhYT75zR8VY6vpySUtoH+iGqr7CIahm7sZzAQgqJelaSonaiUWZ8Yy2JjAkZa8UzOYVAslI8jbeEXljNvhCfnfH9k2WCZbPrqCfCBSo1q6mqJ1Jc6prjgzmb9Q0xiIeQSZF6UtEHIXGO/KLJpOZmtRVRYxjoO8eH3/8+d+/eZVpXmtohXLCQ4x7nmc+mNF1P1BiejTUU1nCwnNE0W+bTibw+PtM0O66vrnnw4J5Yl9YVOV5wcXEm5vNFgXOWmDJVXTGdTKRTW8wlD32zUQGviIJ3u5aiKDUJIjD0A9fba5ZL0XyFOFCVLY16LMsGFKqJMJrryQTrHC+fveT8ZkvCkdLra9C5URIUFZ9Uighp74R5c3OtJFz0OhIVvxkfOgOcn51JYf9Sc/DDjt9Kp/Nfyjmff+n3fw74mznnf8sY8+f09/8G8N8APtBffxj4P+j/f+hheJ0BNKqMc2Y/y5a+wBWa22wdwgQXADPFQTO1dX5NSYyr1UTaKtEu67ZoFK7VVUlGBaJqSh6DkqCyXPBhEPBRtgZeRzojJhnGYOxrd74Uo6Ql7tfIFuchBjGIsmqTgXYcvnD7n34EwJ36Yozq7nHMGZMjREAp3YM1HmMl+TEpviKFUtTIMYiURDwYLVbzs8ac91GfJnNklhDC/WgqbOAxNlZIlq8Z3Dln+iBPOm8Nw9DjvBM/F4t8T20V+u7L1rBZ1PjWYByvcbrCCW6H0cIcZalggSi5Sv0QGfrAYjancJZVMxBjoKon3L59AinS7LZ4X1DWFZO6YrfzdG2LnUjm+WwypShuREKjQtvHjx/RNi2LxYxd29L3STd+qKbOMp9UrEtPHxLLxYyr6xvuP7jHnZNDHtw9IcaBtu3orOHO7ROOjg7p2pacM/NZzcnJLawrWC7mPH/xUkIOU+JmtaIsBLdabzaaTS6eyN4XjKmwe21TDGw2wiJumoaqLslt1Osi0/YdKUmBMhjWqxvmiwXDkHj+6pwhJh3h3d5Q3ftCgg/28gjBLFM2NM2Ott3pVCCE20rdHkf5yDBEvNdr2Fpu375D3/dfWUh+lPHqXwL+pH78fwL+NlJ0/iXg38vSq/1dY8yhMeZ+zvnFD/tCEjBf0MdORg+9uUcZgHVyo8t2Z9jbNIJ2D6okh6Tm67reZmx9pU2NnWxvckq0bYcvvDzRieLYZwQ0y8bst1MgF+gwCGXfOEsyrwE3FKQVIqOML4mMMeI1PKaQjkJJg5i3GyPjTeEsQQ2+itKDAr1DQIWn8nUKZ7VrkU6tD+LTW3jHfFarf4/RzYfZr8+t9bpxyfsN4NjtOLUtNdYjHnZRqQRaqqx0RlJM5bUY1GYi53GDpbYfJqu4VvyHhhgJKWBLJxavXwL2s0sYVKum4KXJkHgN5AsRUzcnTmxqr2/WEnyXxKtnu+25urrm5GhJP/T07Q47teyansPFlEk9U+8kyYQ3Ngh/KghOcXCwpH91RjsMTHKmLiu6biNeRyOLWzVNt4+PeHV+wdC11KXHkvj6++9wcXbG0dEhu92O3W5DVVZScLDMZjNySkzqis22oSyPePTwAReXV2KLkuH07JzZdCJRvtZxdHSgI2yJWNIOOFdrfA1UVaV8LMtyuSTNZxgSs9lEH96Sex5TFOzHeT5/9gWrbUtImdl8SU5R+W5pvy1Vjuq+A1+tbuR6Gx+COeKrmt1uy2wu4X4xSAyy1fDL+WJB0+x+24pOBv6fRkgt/27O+eeAu18qJC+Bu/rxQ+Dpl/7tF/q5H1p0RpbtyDVx6jks5lgRm6QapKjjVUpagOTGI4uY0/oCb0U9izGjqkG2OXozjNYAxhodKYShSzZqPSlWD+O/G5NFkfuF0XOYvbVD3Me8ZC1EOY9bNvZcEzHuCtqwC+ElxETW+TnFiFGmdUZGDRGxpv263HmvHB7FT7DsdrK6rCcSKTypCtV0jfKNQcWqYjEpTzoUMLZUlddNhRo5maTdShLOkNEsebXHyDGCEhmNycQ4yPk69UMi0w+dAs4Jh8V7xPLUCi40ylCiXvxOha8g45gvHA6oqwlDLx3qarOj7QPzXUdE0jOctTx7/hJvDYtZzeHhsXZcHZeX16ScJFq4qsRbJmdJnLDyAJlNa1Vbd0T1pEG5X3IDO8iREGUrd7ScE4aO+48fcnp6yieffCaEP5UpkCXhoapqLq6uaLuWg4NDtltJybi6ulJeVMJ5q4C/5/j4GHJms21otg0YAb1HzLBtW1IUbaH3hZif2cx6veX99x6zXl3irAD+IQw4l1QX57i+vub07JwhJYZ+4GZ1Qxx6yZoHRbqE3V9PJGJot9uBEjSyLinkYZbph8iBFmIQQ7dKxdRhkMVKNr89ETT/fM75mTHmDvA3jDHf/TVFI2tB+k0fxpg/C/xZgMPDQxhX2bolEu8QmbOcdepsZ/Yv1r7D0IC8GDNhCBjFODJjmJyaUhXK04lqO2ktKfSkLLYR3lsybv81IWskTr/faowAcIwJb/y+ExrUp3m/+RGsTtzZ1B7DmLT/fEzSiTmLEiDT+KJgR5lHkp/LFSOBT2wq+iRr06IsaHYD06lEz1jr6Nodk8qLCVN8LSUZLyC0iOYopk0GWdkb/XNjDTkq29qMm0TZuIzbQld4LGKjkXKH08SAoQ+Mbo6QVPSaGEIipCjiwRglrEvPaBSiGuP3q/RRawRSsE1piZsdGBmL+16Y6xIfFGmals33fsC7D+/xzqM79EG8izJwcny8ty0RbMpQVzUpdzr9ZU5u38aVE/q+01QI6HatZn2NxSfRDx2zuuTuk3tcnJ/L9qosWa03HLUdi8WMptkJuBx6NpuGsp5gNzvu379Hs91oWKFovB4/fsTJrVukGPXfdXsxq7His20wonpvtiozkUgl9DorvGW93gg4byL90LJtGuazOd45bm5u+Dt//x+xGxILNW4XV0m5z2KW7rSqawywWq1kJM9joqxAAWLJ+5oIOah+LwyDelgpkRVRoo+44A87flNFJ+f8TP9/aoz5K8AfAl6NY5Mx5j4wMoKeAY+/9M8f6ed+7df8OeDnAB49epQFsxCgd9RfSYdhddR5rQNKOenNIgbuws6Ne/k/1mKSsCrHLKoUgxpuGe3lE5HXDGdIqjb3OCeM5q7v94zjZFFxpNG2c/QcVo2TNXjdgEUVzg2DYDiYxDBkyMJfaTt5elr3usDkJGvNNEikceE9xrt9bpd1br/2DkMmoorufmAykTTK6bQWyUUSyQApAa/Zswb1BTQyTBkldZWlo+0kMkY6TdFXjc6DUf2FrBGuj/cijhVbWFGbYxPGOQrndbvoGPIghECn38/Ik9Wb13iSdZI4YTAUWIyDMXkgxYF+SJgc9l5EIofxVM5w94MPOD07pW0atu1AyJaqqtluNrJ6T1CXpXYhr99ra8XKJOVMs10z9J1apoqTQD/0JKC0qvfDUKQC6x2FhW9+8A6ffv4cYxDuULNjOhnJlmI0Z52ja3v6rmezWfPNb3yd41vixxxD4vmLl1S1YE2yYZLCP9EkT6cJtc1uJ1SQwrHdrITDpt1HOfRcXJ5zuJgK+J2CJmKIPctqvWW1acjW7wsDZPHaRqCLqp7Qti1DLwkX4/Igql2F8wVVXYn+SieMrutERFyWTGcTWX4YS9vJdiuMouJ/2qJjjJkBNue81o//a8D/EvhrwL8K/Fv6/7+q/+SvAf9DY8xfQgDkm6/CcwDdIIm9p+iJ4t6W0jmrfsJGNU9JQKyUxbDJ+T3AadUiYXxajFKFkUkrglD7mmyniLVToywQ3ZEvNG/LWMqq0KedYEHiTCcWA8aI0HFQ9zuAHEVWMAK+KQTwXoWdWRz1NS2CDM56jJd2OqXXSacxJxiSEAJV6GmN4DrW2L2MY7drGfqBsnRYk6nrWv9cLk4Z+ayes5GQtqJA1qZi3tS2ndqACEs7k/fucVkLAkZGPkfCWvHZwahfT5Y17tgJGpOIacDYLFnuQZjLY56WsxZnDODwzuwjcyT1IOCtI2Yp4GUJZWnps3j3dF0LxrHdNrTbDdlYMc4KkYurNYcHC7a7gRQ6ptMJ3tf4JLauXn2mk7oCbLY77tx9QPv0c26ub0ApBCkmjBdTN4NVuoSME2fnVxIqaBxd1zOdTZUTU4tYtC7wRUnXtoSY6bqeq+s1/+iXv0dViTL98vKSjKHZiQH64eEBRVmyXq3wRalpI4GqrNQMXfR8XdfRD8Pew7jrxTOqHxLWFlTeYMqMs55+SHz+8gXZFZSFWr6kTFnVRLU18RraJ0CygMtkUcTLwk864QyUVY0l7xuBseCSZWMaQmC72dKpdcdXHb+ZTucu8FdkE44H/v2c8//DGPOfA/+BMeZfAz4D/mX9+/83ZF3+EbIy/+/+Rt8gy+5VVnbOShqnceSYwI3WpAF8oWH24kqXjJhryXZHtj/7rRWaSKD07sy4sXidXpnT623MCAo7J0XJFQ6nf3/0bxF6uI4hUrnogxIV1QBLhHtZW1AdNtSIS8yxw/7ids7StK0Q7ZKwZgGsgsIjmI4SFOOXxiQSdH2g2bUcLOcMITDzU4n4teIRlI2IR70fjdHEKRAlyGXEV3ncHhoj3doQBXQei7OMb5J11KfAZFLKNuxLRyJqR6RWqPpULL2ywzVBNWeH82P5kcIn9gqqY7OFbM2ysJ0jmvKRZTZtugFjE9u21zBEuHV8xHa94tnLM754eYpJiYPFlCdFIQF3fvTSdlRlSV8KofTwYMn11SXGGCbTCVeX17ImVpcBjNl3f/0gZm79kGj7lulsuncAsOoTlHLCG8t6dSPvZR9w03qfebZpdrw6u2QyqWnbjjt37xKGntOXLymKkmHoWS6FoR1ipttsOVgusc4zX8yYrG44PIz0/cBsNmU2n6oJWIEzUHpPPamxvuCTz19gbzJ3781JyAO2b1um0yl1LcZgIDHcEUuOwncL6hownU3JWZwLYlaeFxkUsxlxxVG9H8NADIPkz8fVV97vv2HRyTl/DPy+X+fzF8B/5df5fAb+B7/R1/0n/h2q+1CbS6MbpHHGdBZdSyuXgNfFagRv4zAoUckJVsKXrSvV61WBFWMk4TDqOtdqsbMpgUm6jWG/ZrZejMSlA2BfqLxzJF1HxxRxVtB+seDI9FEij0OS8QrkpkspyNZIsaJRi4WzQhSMgcJZIqJ5SXvMS0Ykq168nQoyx06t1riSoZcYnjFq+TWBT3AUxrW+VfapYiwpJUzOZDOmo2qHmaS4YyWTyRfyRBUN0GsZijFpD/SLPMXhnNqkmtGCFmIOkm9GIhIo3Bi9nMnqYWSMpbCOwgWwiWwsN5udFKOUMcjrd34uOd6TusJbAfdlA1RRenndJnXNEAJ910snaaWQX1+vGEIQXGoIe3e8GNM4hTOEQE5x/176siQjqRnOlzrmyobTKHfs7PyU6WwhwXiTWjhGZUlVTajrmsurK87PLzi5dcT9+w9ou5YUxet61+wwxrLeNBwfHeOsYTqtefL4MXfuColwOp0wm4mx165pMAZmsxmr9Za+Tbw4XzGkzGw24fziQgz8B3FOCErjGAW+WTHDqLhpzplmsyZoqKAZgeEs703OqIuDvOdBJUtG77fx/vxhx5vBSDajbeboVaxAVJIL21r2gXg5j25/WUccuSFAfXCwlIVVC1P2RUN3hHtXPRyEPu6BZrLE+coNLGhwWQm5MBsB1Uav5aRfN8a8B/9CHIjDsLfIMEb4QWOuN5ptlbJEF1trsMbhXdQ1tNphKEfCukJA1xRVImDph0BSLdqoN/PWyU2DgLabphEyozXILS4Y0whyj55CY1aXsVa5MJGEcH2M1w7SSmESFnHGOehDImIw6q4oOI8TC1RrQEmWgmWBNZnSFwwxkrLM+t5ZLCJpSRlmda0Malm1I04+Ktq1YA1d19J1QTRySciQwlZHv6bnnSePWE5LblYbVuuNcqyikDmtw6Yo6QdmJF5m6umE1ek5YRBVvWphFEiFkGT5MJlOaduWVqNwck4MaukZdcz1zjKQ6buejGPXCg6y3e3IGHbtTtMnqn3nFlLCW0mRnc9npBTp+54HDx8S8xhxZPj8sy8IQ8cQ4t7mZbmY88677xBT5unnT+n7ji+en7JuA7uup9dEz64Tx0T4EmUCZYqDqqll8SK/N3uKhLUa853V5kSxPYwsaQovvlFeBcazac1u1/L//orb/Y0oOlZ/AGftHheAjHFj7pDcxKNqODPaWsrmJ2k1TimIuE47lLzHQ16TAlNkvwKvqkL5LWNBQK0kjLi2xayAmoCDKBAqk0fer7fF/8SRkQ2J/LnZd0UCjGSyEUV3CiNOMKYkmP04Jd7H6sIv+CcpREwhX9doUY5BbASMM2ybnWZDtUwnB/uOY5RjBJTJbCyG1zhZzmN5UFZ0GFSdnvYXo1XsRVroHmPGEVQKhDFRL8RRP59JRn8m0KRQR6E4lbNur2czxmIy6gapnaaEsChlQbgkGFnH5iyM28rK6+T2QlTp0r54+gXvP7lH2zSM8UC2kIIY+l5JnIEY5b3uu57CO4a+V0U4yotxeyb1qCyvJxN12hv1a0a3poHNZqOyAi+uerWl3O2E1Jgifd+RMkzqCQnH2eU1IantrC94dO826+tLhn5gGHrmiwWFd9w6OsBZaHZbTZVYEWOi6zu8s6xuJFK5KAq22w3X1yuubm7YdglfTTg6OiCmTLtr9ptWA/qQDPsMtrLwQu9wlqKolEIhG8iyqqiqitmkxpeVdKcGQt/RbBtSihwfHfLkyWPGBfxnn37Gv/cV9/sbUXQAvIOiFD5FVD5OSKOdhMz+oz9KCBGj0SZ936kBuyxhhVISCCFJQDxZY2E0giZKdlZZlfpETnt3v1Hmb2A/NvWD4A1lWRLU+CqlsXvSoiOoMWUhVPqUBbQbQ/hGrMTr09WYrJnlAooXpWRvjwVOYk6kDfaFxxm3PydAlN/ZkI3l3t07XF5c0e5a5vNjucCjI+gmTp5mdg9qe5ViuHFbiGrWkIyvMeQvZ71ANUY2JkNARg43PhgVGnYm0wexZnV67jLaeulM9VUqnNt7++Qs2jmrYlZnS2LciSMi+fXXMAZrEvPas5hVmmgwelqLoXo/JMl0sgNduwESTduxbXbU5VRWvVmiVgbt0GJKup00+sBI2Lrej2Y5irGYc2KiNp1MtNMV3RSIjGG9WskYWJbkFNX3OTKbz1mv1hS+4GAxQyEUikKSJ04vrxlCpGkahmEQomLfSYZXVfHs+Qsmkwmz6R26vpeHJ6JUL4qaqipxzvHJp5/zrW9+QOk9h0eHnNy9z3bXid3rEGh2O6b3jpHww5Kjo0OGXlIr5tNKX5u85wwdHh7xne9+yIO7J9SVeECPtAmJOPJY57m4vKIw4tX86vSMrlnjnGM2n3Pn9vFX3+u/rZXjn/oQIlYY+j2o55ylzJamaWV+VFMnyQpX0tRuENNvJ09j4VZ4hj7qejyT7Wg76nTdKzad4rss45Ib6f6qiwopY1rxlIlhwCjhTHK5VB5gHEldDUf5RgiCKcUgVLcEWO2c5IYUoDjnoCxmAaljynjVzKCRt1nX0aB56ppkkXOWcUgL63hBbLZb5ss5vpiIs2JMuvWzsNebiUOc4LxqgzpGqyQZ5QrNH8tZOhQZL8X6QJ7wWTnc2pUzmrobtcx4rVQmBc2VH7tX9gVnxLIMhtKL6ZSxhhyCMrYNTv/OpPLcv7sUKkTOWBdkTRAjbWfY7RB/myhcIaegdVAlvjPSIeYgHXHMMnpXVUnb9pycnPD8+SsBi72w1JPGDTnvGYaBm9WKQgmbRSHBdtlk6slExmqDbCkNGGfx1mPsVlItvCf1gzDdyTy8d0LOmfOrFeTExeUVR8sZKQ4EMgeHAiSPAYrtrmOz2bC6udHkDkNdi7n7rVvHMpbnyNHhAR9881tcXlxT6J09RjwPQcblspzw9OlTJkVBYQJ4S9dL2kWI4kxYOktOkaGXKaDr5XUsCpXkRNmo3b17l13b8fzFKc+eJx7cu4PVRIqvOt6IomPGDcAgHsHWWLYbkc3Lk3lgUFGgSaIpSmmgnkwUJNWtEgKMpSyakhjD3ud4TI8YLUitNVhXY03SpzIQR1A0M4RBYAkzcm+0PTVAtsQU9ca1ymcR2Gjow/57wVg4soDWSQSFYnwktpo5xz2gZ5Wo55TxHKLwWwSAzoRemKRVKcxr4w3z+QzvC6brCcPQ03ZePWiUTqCFdNzYWSsjVszq6m+Eic0IzivNQEbdiMOpJksNv3Kij0G7MiN8DZO0o9Q8LOXEGAxRbVNtTmqFoTo1ZY9DwhivuFP6xzscq/auRObTkrbv9EXNFNbQ54zzBopIFxMuj/iF0AfGpNSUBsyYFbYHxpNq6wo26wuaXUvbD8ymM9k8ZahVvhBCYjo1zGczhhCYL+akICkSXjPFi6IkBHFrXK1l1Ll75y5lnRn6HqORPSlJh/fOo3tM64pNs2NSV+I2gLg21nXF8vCYm+sbOvVwwhgm0xlRAwm9sxwsF9zTG72eVEyntYK8kRgtzmXhPWFxSEcT1QzfYPne9z8DZIP1wde/hjOGXbNlsZjLOtyqsVvM+we6cLtgPp9hnUhJbt8+4YuXZ+S+o2laUvyd0179th0xRdarDZPphK5TCnYKKpYcUwqsmkyBMHIr6TaSPInrqhQ6u8aixBCUc+P3F7M1Ij2QGz6TbdANVtiTD40Rns24UkYReu89fd/RdxKHg0EIilbxJyM3iIxy6Pe0osrWQoniQDEmhqGXCxZZlYdBjLO8U5wCAOEtGV0te+8JbUuMWtTU78Sa13no4p0iyJIxmkSpZEUBfnV0ceK3E4JqojT4PYWoHZ7IQ8rCE5N0EEa9fUmGrDyo0cRLd4LjUl8X4oZR9hD3wKTYSjhj9v8mKNDtrMgfovoX7VngQD90UqDHr8MI3YkjQWlk/0bKVFUJm1ZU2UOkKoXsiAooXc4kKzqxqq7o+rA3xTJGBKwYIee1bbsX+laTCVN9bbq2pVAOkjF+v8lZr7dY65jPF2ybhq4fVJvk9kZx7a4leEfb7thu1lhrKL1nOpuRQo81hm7X0IeBoe/V8sSzuhYbi8mk5tHD+1hruL66YjKZSBy3ga7reHV6ztHRkrouRZRs5V0Ra5Nub+b//te+xnQ25/z0pU4OO6x1IrQeBsEW1XnAWsv1zZrZbEpdVbx89ZzbJyesNw3X19fcrDYcHiw4Ojz8x7ypf73jjSg6ZPAK+I3Eu6Ks9jdhzmI3mpQF671TLo7bP71EcyLWC03T7A3UnSuUoRk170e6HnGSk+7pdWciN69VCUDM4J2OIFlvEmteOxfqrDCusseYW4whdFE3LVGfrtItpCT+PEY7JBPRrY6an48YkBO1tbgjZnojo2FVS3fnrXQnMSaCzQqswnQqmd5RY2SwjtKpgXzKkB3SGJp9++4N+FIwrgQQ8550mZHiGrKwYkMY9p69I/A/jlRyrl9yEtSy8toETVEgZRxnJVBmJQfuDcoVa0vG7r9WVFR9NMCHL23WgGQss8WUuqhlxB4C6+2WSe24dbSQn0xaKFKArFafbSfjz8FSjLEymaFP++I8gvJhGJjWIiLuu1YkKs7SK4M86DhWViWb7Y6chDA5m04kPFDB8pgGTAh7R8yUoSwFqyqKgqbrsM5xfOuItv2CEIQMKATQguVywe07xzS7NdvNltlsztAHQh85O7tgSI7Lmxsm05r5XLg2ZFQ1L5jU0dGhKM9fvmI+b9hst9w6PpSOrfS4OKaHKBUlZsJOssXu3b1LSoGDgwM2mw1dLwkVZFG+L+ZTKfJfcbwRRcdaw7QuNZa12Gt/ckpgjYboideNyCI8k1IsHVKMFKVXo3GRElR1LRoVZGskTwphSWYrRL7XmiL52HsNK7NmzxkaAd1xi+Xc2B4n3ZuPxEL24OeYnWSdjBUxihxjZHaiK36JXZENRtt14lHStFR1pdwIuTFQb56URFvmHPtNXI6ybt+1O7bb3Z57c3C4xPoxZeL1rxgTg97QIEkUyTqct5p1FfeeQeK1LMLV3a6hLs3esGos0hGDjUFZs17X3cCXCkMmqR4H2XokEbaOm644FiPFgTJqIuYc1srYJaqMuMeG7Mg2NzKqNruOQCY0Db3puHVyDxEn9qxWa4miiYK3HR4sefnylL4LOF9gkn7+8JDrG4mAGRcAfd9TFo7F4oiq9FgDbdcznU7UYiWIaNR7+q7VB4bD+1KSQ3KSkd1ImkcK4ksUo2zhJtMZB/0g/07fk6Sr9HpScXCwZNe2EjwZLbeOD7l9+xYvz57S9wOr9ZrpdMZmu8E66U5OX53y/ruPqTW/CzLr9Zq6rnG1SDWub9acn1+y3W4ovLzfKUFdz9jtOg4PFsL21/CDDBzfOqYfgvhzD4mz01OePX/BH/7Df4Rv/9S3hUKgW7WLyy874PyThxlXaT/JwxizBr73kz6P3+A4Ab761fzJH2/P8Uc/3vTzg98d5/hOzvn2r/cHb0SnA3wv5/yzP+mT+KrDGPP3357jj3686ef4pp8f/O44x686vpqv/PZ4e7w93h6/zcfbovP2eHu8PX6sx5tSdH7uJ30Cv4nj7Tn+9hxv+jm+6ecHvzvO8YcebwSQ/PZ4e7w9/tk53pRO5+3x9nh7/DNy/MSLjjHmv26M+Z4x5iONsvlJncf/0Rhzaoz55S997tgY8zeMMd/X/x/p540x5n+n5/xLxpg/8GM4v8fGmP/UGPMdY8yvGGP+R2/gOdbGmJ83xvyinuP/Qj//njHm7+m5/GVjTKmfr/T3H+mfv/s7fY5fOldnjPmHxpi//iaeozHmU2PMPzLG/IIx5u/r596Y9/pHOn4tgezH+QtwwA+A94ES+EXgp35C5/IngD8A/PKXPve/Af6cfvzngP+1fvyngP87Qp39I8Df+zGc333gD+jHC+BD4KfesHM0wFw/LoC/p9/7PwD+jH7+3wH+e/rxfx/4d/TjPwP85R/j+/0/Af594K/r79+oc0QCLE9+zefemPf6R/rZfqLfHP4o8J986fd/HvjzP8HzeffXFJ3vAff14/sInwjg3wX+W7/e3/sxnutfBf6rb+o5AlPgv0B8ss8B/2vfc+A/Af6ofuz175kfw7k9Av4m8F8G/rrerG/aOf56ReeNfK9/q79+0uPVD8vIelOO32q214/l0Bb/Z5BO4o06Rx1bfgFJB/kbSCd7nXMeIwK+fB77c9Q/vwFu/U6fI/BvA/86ox5Evuebdo4ZyZr7B0bimuANe6//aY83hZH8xh85/9azvX4nDmPMHPiPgP9xznllvqxzegPOMeccgd9vjDkE/grwrZ/k+fzawxjzLwCnOed/YIz5kz/h0/mq47c9a+5NOX7Snc5vKiPrJ3i8MpLphfmnyPb67T6MMQVScP4vOef/+E08x/HIOV8D/ykyqhwaY8YH3JfPY3+O+ucHwMXv8Kn9ceBfNMZ8CvwlZMT6C2/YOZK/lDWHFO991pyeyxvzXv9Wj5900fnPgQ90c1AiQN1f+wmf05ePMdsL/slsr/+2bg3+CL+JbK8f9TDS0vxF4Fdzzv/bN/Qcb2uHgzFmgmBOv4oUnz/9Q85xPPc/DfytrKDE79SRc/7zOedHOed3kevtb+Wc/5U36RyNMTNjzGL8GMma+2XeoPf6Rzp+0qASgrx/iMz+/7Of4Hn8X5G89QGZif81ZHb/m8D3gf8XcKx/1wD/ez3nfwT87I/h/P55ZM7/JeAX9NefesPO8fcC/1DP8ZeB/7l+/n3g55EstP8QqPTztf7+I/3z93/M7/mf5PX26o05Rz2XX9RfvzLeF2/Se/2j/HrLSH57vD3eHj/W4yc9Xr093h5vj3/GjrdF5+3x9nh7/FiPt0Xn7fH2eHv8WI+3Reft8fZ4e/xYj7dF5+3x9nh7/FiPt0Xn7fH2eHv8WI+3Reft8fZ4e/xYj7dF5+3x9nh7/FiP/z+kauYBtR8dfwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import matplotlib.image as mpimg\n", + "import numpy as np\n", + "\n", + "# 加载图片\n", + "img=mpimg.imread('example.png')\n", + "\n", + "imgplot = plt.imshow(img)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2.1 应用伪彩色方案进行图像绘图" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "lum_img = img[:,:,0]\n", + "plt.imshow(lum_img)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# 运用你'hot'彩色地图\n", + "plt.imshow(lum_img, cmap=\"hot\")\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2.2 检查特定的数据范围" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 1425., 0., 0., 0., 0., 0., 2297., 0.,\n", + " 0., 0., 0., 2007., 0., 3716., 0., 0., 0.,\n", + " 3767., 2486., 340., 0., 0., 3491., 2569., 779., 0.,\n", + " 0., 5283., 1074., 0., 0., 2400., 5259., 0., 3346.,\n", + " 0., 0., 5892., 1328., 0., 3243., 2695., 6614., 6971.,\n", + " 0., 0., 1697., 1869., 6257., 0., 1709., 3560., 2301.,\n", + " 2777., 1074., 2364., 3373., 3229., 110., 3575., 47., 8181.,\n", + " 0., 169., 3510., 4089., 1143., 4108., 550., 4542., 1932.,\n", + " 2384., 4179., 1914., 522., 5839., 4741., 1011., 3520., 0.,\n", + " 5271., 8140., 899., 2689., 4562., 3941., 3518., 5036., 5275.,\n", + " 0., 0., 8912., 0., 4104., 2852., 368., 2787., 3850.,\n", + " 159., 33., 5986., 22., 62., 1575., 3654., 0., 0.,\n", + " 3746., 3170., 2568., 1353., 0., 487., 6367., 650., 491.,\n", + " 1742., 3136., 0., 1516., 2269., 2334., 4129., 0., 0.,\n", + " 5220., 0., 2949., 3078., 0., 0., 4318., 1464., 512.,\n", + " 3299., 2101., 1624., 0., 1844., 2926., 3265., 2035., 163.,\n", + " 1861., 2334., 1200., 3495., 0., 0., 3523., 0., 3568.,\n", + " 1783., 0., 0., 620., 195., 1587., 1115., 0., 0.,\n", + " 1321., 0., 0., 0., 0., 549., 0., 343., 0.,\n", + " 0., 0., 0., 251., 0., 0., 0., 0., 0.,\n", + " 0., 0., 154., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 88., 0., 0., 0., 0., 0., 0.,\n", + " 104., 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0.8828125 , 0.88671875, 0.890625 , 0.89453125,\n", + " 0.8984375 , 0.90234375, 0.90625 , 0.91015625, 0.9140625 ,\n", + " 0.91796875, 0.921875 , 0.92578125, 0.9296875 , 0.93359375,\n", + " 0.9375 , 0.94140625, 0.9453125 , 0.94921875, 0.953125 ,\n", + " 0.95703125, 0.9609375 , 0.96484375, 0.96875 , 0.97265625,\n", + " 0.9765625 , 0.98046875, 0.984375 , 0.98828125, 0.9921875 ,\n", + " 0.99609375, 1. ], dtype=float32),\n", + " )" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(lum_img.ravel(), bins=256, range=(0.0, 1.0), fc='k', ec='k')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3. References\n", + "\n", + "\n", + "* [Pyplot tutorial](https://matplotlib.org/users/pyplot_tutorial.html)\n", + "* [Image tutorial](https://matplotlib.org/users/image_tutorial.html)\n", + "* [手把手教你用Python做数据可视化](https://mp.weixin.qq.com/s/3Gwdjw8trwTR5uyr4G7EOg)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/1_numpy_matplotlib_scipy_sympy/2-matplotlib_simple_tutorial_EN.ipynb b/1_numpy_matplotlib_scipy_sympy/2-matplotlib_tutorial_EN.ipynb similarity index 100% rename from 1_numpy_matplotlib_scipy_sympy/2-matplotlib_simple_tutorial_EN.ipynb rename to 1_numpy_matplotlib_scipy_sympy/2-matplotlib_tutorial_EN.ipynb diff --git a/1_numpy_matplotlib_scipy_sympy/3-ipython_notebook.ipynb b/1_numpy_matplotlib_scipy_sympy/3-ipython_notebook.ipynb index 009ba78..a036950 100644 --- a/1_numpy_matplotlib_scipy_sympy/3-ipython_notebook.ipynb +++ b/1_numpy_matplotlib_scipy_sympy/3-ipython_notebook.ipynb @@ -330,7 +330,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.6.9" } }, "nbformat": 4, diff --git a/1_numpy_matplotlib_scipy_sympy/4-scipy_tutorial.ipynb b/1_numpy_matplotlib_scipy_sympy/4-scipy_tutorial.ipynb index bbcb3e9..4c42c6d 100644 --- a/1_numpy_matplotlib_scipy_sympy/4-scipy_tutorial.ipynb +++ b/1_numpy_matplotlib_scipy_sympy/4-scipy_tutorial.ipynb @@ -907,7 +907,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -917,7 +917,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -927,7 +927,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -936,7 +936,7 @@ "array([-0.33333333, 0.66666667])" ] }, - "execution_count": 9, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -949,7 +949,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -958,7 +958,7 @@ "array([0., 0.])" ] }, - "execution_count": 11, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -1063,7 +1063,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -1072,7 +1072,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -1081,7 +1081,7 @@ "array([-0.46410162+0.j, 6.46410162+0.j])" ] }, - "execution_count": 13, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -1092,7 +1092,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -1101,16 +1101,16 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([ 1.08466629+0.j, 0.33612878+0.j, -0.28229973+0.j])" + "array([-0.46410162+0.j, 6.46410162+0.j])" ] }, - "execution_count": 44, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -1121,18 +1121,17 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[-0.20946865, -0.48428024, -0.14392087],\n", - " [-0.79978578, 0.8616452 , -0.79527482],\n", - " [-0.56255275, 0.15178997, 0.58891829]])" + "array([[-0.80689822, -0.34372377],\n", + " [ 0.59069049, -0.9390708 ]])" ] }, - "execution_count": 45, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -1186,18 +1185,17 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[ 2.0031935 , -0.63411453, 0.49891784],\n", - " [-4.63643938, -0.2212669 , 3.35170585],\n", - " [ 1.06421936, 1.37366073, -1.42726809]])" + "array([[-1.66666667, 0.66666667],\n", + " [ 1.33333333, -0.33333333]])" ] }, - "execution_count": 47, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -1209,16 +1207,16 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "-0.10292296739753022" + "-3.0" ] }, - "execution_count": 48, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -1662,7 +1660,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -1685,7 +1683,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -1695,23 +1693,29 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", "text/plain": [ - "" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ + "%matplotlib inline\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", "fig, ax = plt.subplots()\n", - "x = linspace(-5, 3, 100)\n", + "x = np.linspace(-5, 3, 100)\n", "ax.plot(x, f(x));" ] }, @@ -1724,7 +1728,7 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -1733,18 +1737,18 @@ "text": [ "Optimization terminated successfully.\n", " Current function value: -3.506641\n", - " Iterations: 6\n", - " Function evaluations: 30\n", - " Gradient evaluations: 10\n" + " Iterations: 5\n", + " Function evaluations: 24\n", + " Gradient evaluations: 8\n" ] }, { "data": { "text/plain": [ - "array([-2.67298164])" + "array([-2.67298151])" ] }, - "execution_count": 69, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -1756,7 +1760,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -1773,10 +1777,10 @@ { "data": { "text/plain": [ - "array([ 0.46961745])" + "array([0.46961745])" ] }, - "execution_count": 70, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -1848,45 +1852,48 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "omega_c = 3.0\n", "def f(omega):\n", " # 一个先验证方程:一个low-Q SQUID的终止微波共振器的共振频率\n", - " return tan(2*pi*omega) - omega_c/omega" + " return np.tan(2*np.pi*omega) - omega_c/omega" ] }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/Users/rob/miniconda/envs/py27-spl/lib/python2.7/site-packages/IPython/kernel/__main__.py:4: RuntimeWarning: divide by zero encountered in divide\n" + "/home/bushuhui/virtualenv/dl/lib/python3.6/site-packages/ipykernel_launcher.py:4: RuntimeWarning: divide by zero encountered in true_divide\n", + " after removing the cwd from sys.path.\n" ] }, { "data": { - "image/png": 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oACdaa08BsBjAk8mH5A4rVMEqLJTmYI5MaLhHHgGuuQY4+2zXkaS+JUuAX/5S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\nRU5ErkJggg==\n", 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\n", "text/plain": [ - "" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,4))\n", - "x = linspace(0, 3, 1000)\n", + "x = np.linspace(0, 3, 1000)\n", "y = f(x)\n", - "mask = where(abs(y) > 50)\n", - "x[mask] = y[mask] = NaN # 当函数翻转符号时去掉竖线\n", + "mask = np.where(abs(y) > 50)\n", + "x[mask] = y[mask] = np.NaN # 当函数翻转符号时去掉竖线\n", "ax.plot(x, y)\n", "ax.plot([0, 3], [0, 0], 'k')\n", "ax.set_ylim(-5,5);" @@ -1894,16 +1901,16 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([ 0.23743014])" + "array([0.23743014])" ] }, - "execution_count": 75, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -1914,16 +1921,16 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([ 0.71286972])" + "array([0.71286972])" ] }, - "execution_count": 76, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } @@ -1968,10 +1975,11 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 35, "metadata": {}, "outputs": [], "source": [ + "#FIXME: use as\n", "from scipy.interpolate import *" ] }, @@ -2412,7 +2420,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.6.9" } }, "nbformat": 4, diff --git a/1_numpy_matplotlib_scipy_sympy/5-sympy_tutorial.ipynb b/1_numpy_matplotlib_scipy_sympy/5-sympy_tutorial.ipynb index b6783b0..e6ef6d5 100644 --- a/1_numpy_matplotlib_scipy_sympy/5-sympy_tutorial.ipynb +++ b/1_numpy_matplotlib_scipy_sympy/5-sympy_tutorial.ipynb @@ -53,7 +53,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -69,7 +69,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -97,7 +97,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -106,12 +106,12 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ "$\\displaystyle \\left(x + \\pi\\right)^{2}$" ], @@ -120,7 +120,7 @@ "(x + π) " ] }, - "execution_count": 14, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -131,7 +131,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -141,7 +141,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -150,7 +150,7 @@ "sympy.core.symbol.Symbol" ] }, - "execution_count": 16, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -168,7 +168,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -177,7 +177,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -186,7 +186,7 @@ "False" ] }, - "execution_count": 18, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -197,7 +197,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -206,11 +206,12 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { + "image/png": "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\n", "text/latex": [ "$\\displaystyle \\text{True}$" ], @@ -218,7 +219,7 @@ "True" ] }, - "execution_count": 20, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -243,12 +244,12 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ "$\\displaystyle 1 + i$" ], @@ -256,7 +257,7 @@ "1 + ⅈ" ] }, - "execution_count": 21, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -267,12 +268,12 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAB4AAAASCAYAAABM8m7ZAAAABHNCSVQICAgIfAhkiAAAALNJREFUSInt1L0OQUEQBeCPqNVKUYiOVu0FFHq1UqJU3HfwAgrvofAcEhJRqUSho7C3uUEuWT8JJznZyebsnMzuzBaSJPEJFCPn62GCBfY4YXZNWIpsPEYTB2zQuCWMXfEQdZQxuCeMXfE8rzB2xbnxN165jEBeXh2VPMg21xLHB85vYxl3nk30KL7mjd+G2B9INxAqYW1jGuIdRq8wbqGf2asFwjo1jn3VCQp3WE2Fv9dcZz7QH574iD8PAAAAAElFTkSuQmCC\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAABgAAAAOCAYAAAA1+Nx+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAiElEQVQ4EWP8//8/A7VAQ0ODEdCs1UBsDGR/AJnLAiIoAUCDBID6ZwPxOyA2AWIlIIYDalgAcmkoyESgZWVACuQLOGCCs2jEGLWAYMDSPIhYoMlsL9ApoORGLAgF6jtHjGKQBaBkZkyMYnLU0DyIhr4FjNQo7IDxCCrgQIkEVBaB6HtADEoEpwEsISASVdEGngAAAABJRU5ErkJggg==\n", "text/latex": [ "$\\displaystyle -1$" ], @@ -280,7 +281,7 @@ "-1" ] }, - "execution_count": 22, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -291,12 +292,12 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ "$\\displaystyle \\left(i x + 1\\right)^{2}$" ], @@ -305,7 +306,7 @@ "(ⅈ⋅x + 1) " ] }, - "execution_count": 23, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -330,7 +331,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -340,12 +341,12 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ "$\\displaystyle \\frac{4}{5}$" ], @@ -353,7 +354,7 @@ "4/5" ] }, - "execution_count": 25, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -364,12 +365,12 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ "$\\displaystyle \\frac{41}{20}$" ], @@ -379,7 +380,7 @@ "20" ] }, - "execution_count": 26, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -390,12 +391,12 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ "$\\displaystyle \\frac{16}{25}$" ], @@ -405,7 +406,7 @@ "25" ] }, - "execution_count": 27, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -432,12 +433,12 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 20, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ "$\\displaystyle 3.1415926535897932384626433832795028841971693993751$" ], @@ -445,7 +446,7 @@ "3.1415926535897932384626433832795028841971693993751" ] }, - "execution_count": 28, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -456,7 +457,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -465,12 +466,12 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 22, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ "$\\displaystyle 9.8696 \\left(0.31831 x + 1\\right)^{2}$" ], @@ -479,7 +480,7 @@ "9.8696⋅(0.31831⋅x + 1) " ] }, - "execution_count": 30, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -497,12 +498,12 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ "$\\displaystyle \\left(1.5 + \\pi\\right)^{2}$" ], @@ -511,7 +512,7 @@ "(1.5 + π) " ] }, - "execution_count": 31, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -522,12 +523,12 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ "$\\displaystyle 21.5443823618587$" ], @@ -535,7 +536,7 @@ "21.5443823618587" ] }, - "execution_count": 32, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -553,12 +554,12 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 25, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": 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"text/latex": [ "$\\displaystyle \\left(a + 2 \\pi\\right)^{2}$" ], @@ -567,7 +568,7 @@ "(a + 2⋅π) " ] }, - "execution_count": 33, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -585,7 +586,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -594,7 +595,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -603,7 +604,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 29, "metadata": {}, "outputs": [], "source": [ @@ -612,12 +613,12 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 30, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -642,7 +643,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 31, "metadata": {}, "outputs": [], "source": [ @@ -652,7 +653,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 32, "metadata": {}, "outputs": [], "source": [ @@ -735,20 +736,20 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 33, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ - "$$\\left(x + 1\\right) \\left(x + 2\\right) \\left(x + 3\\right)$$" + "$\\displaystyle \\left(x + 1\\right) \\left(x + 2\\right) \\left(x + 3\\right)$" ], "text/plain": [ "(x + 1)⋅(x + 2)⋅(x + 3)" ] }, - "execution_count": 15, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -759,21 +760,21 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 34, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAKsAAAAVCAYAAAA5KB4cAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAEOUlEQVRoBe2a61EbMRDHDeMCSNIB6QBIBUAHkFQAdBCGb/7GQAcJFRDogKQCHiWQCuJxB87/d5HOyvlsn3S6J96ZtXR7euxL0q7OG9PpdOALo9FoW32OhBPhlvCT8FL0F5W9AMmCXBdGGOQFTkRH5jU0oIFh4JxX6vcqw13TX+VXFb+E73juCVxJrjMri+rfVH8WfrS0dVmvBjYDp7tUv1un7wfVX53nPlRP5aAHjiAs0G3RdhzaulqjBoJ2Vhkse9wTEmDMPgG76lOfBOq6LBshMasVWk7L8f9FeKt6EhLYd30rJR+L8UjlOgxoyLilnBWeZTwSkTvhg+qNOqzmz+7uLKLsKQDbXqAxOPqRcVf1xhKsonwUbeelhBobi/9cOwaFAS7fGE94Ltqzyp/C0s7hjl+krjnJ1h+EZ/BAH5U4F1hqJzRjo7xGHFXzsxncCMfCPaG9mVB1BkXbzXq0r2Z0vdCO3s5qlPJbou6rbh3T7jYo09IKa0PjkMiQvHwv3On/hjglCyVxVPMKI5dK+jQejsGtwCFjqmSHZXF6j6s+QTKqH7o9NvMTduUmeEXbMU6VECqn4WmpHUOcFWOxyl2DYQiU+sNM6lvgWKA3iBeSOwy473YWPXEwl+ZTV38cleuqc9Wtg5B0cYqEQLCMIZM12CdIziJ29HZWowRW+oUm+GOe+SjQyDEJH0IW0MTwEqvgThXFU6agedK715S4rsTQwEo7ps4qI2CYUzMrznciZHch2wce1eaeikqOeu/jnr4VALvei3iihFcWEHHqnWhuWADfPjL26QOH1DEDHz3MelVeW2nHTYcFYrNrULRHIUH9gZ459jByNkMTqVkwSrdM7MEr/AvZ/XBWQgQXOiejy3zEeqv0IDvhXxYW2jFxVjVmR806I4ZOdlKV73Pei9Qa2JEM2eSM+PnGKqIHMkZRdsv1sNSONgx4khBuwkRywtGa0FQm2WhZbWkcEhaSsSywGAZ6nxcPwkfu/KITq9LV5Z1ngFiTRcgNBeFAJ2UU37Ehih6k92i2LGrHxFnVOBt/4lChWe9C5WqePGcciM4uztVVyEcFHHWycFJzL6mxuyzjEvH8XsXSg8aJbcuVdnRj1kRqMWF3PhsCDETbAv3UUltrhFzG29yu20EZK1Fmy/Sw0o5D44RcxhJ0c1wmK0Z118hcU0XfaSNZgFibrx5Z2BWBMIGPBThzl2XMyhb03HI9rLQjOys7KTg2woxVT49V0XjH7UArQfyxwHDINEE0cnwWnes3oNMy/hMhym9r9VDEjkOpAGOTSSPIQJ34vs6fUgigSVJw4jQkoE3bQPwdCjkZ4BkgYXM/B3daRsnFqcDpQLII8D8MYnDuvtM4v0C7VutB/C+1Y+l/XSWqK/kjJsskWCVnr6f7W5ARTVYp51yCVY/p5mYh7EhDj7m3/SC8BRmxVGVy/gUdDUuoVh6pGQAAAABJRU5ErkJggg==\n", "text/latex": [ - "$$x^{3} + 6 x^{2} + 11 x + 6$$" + "$\\displaystyle x^{3} + 6 x^{2} + 11 x + 6$" ], "text/plain": [ " 3 2 \n", "x + 6⋅x + 11⋅x + 6" ] }, - "execution_count": 16, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } @@ -791,20 +792,20 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 35, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ - "$$\\sin{\\left (a + b \\right )}$$" + "$\\displaystyle \\sin{\\left(a + b \\right)}$" ], "text/plain": [ "sin(a + b)" ] }, - "execution_count": 17, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -815,20 +816,20 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 36, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ - "$$\\sin{\\left (a \\right )} \\cos{\\left (b \\right )} + \\sin{\\left (b \\right )} \\cos{\\left (a \\right )}$$" + "$\\displaystyle \\sin{\\left(a \\right)} \\cos{\\left(b \\right)} + \\sin{\\left(b \\right)} \\cos{\\left(a \\right)}$" ], "text/plain": [ "sin(a)⋅cos(b) + sin(b)⋅cos(a)" ] }, - "execution_count": 18, + "execution_count": 36, "metadata": {}, "output_type": "execute_result" } @@ -853,20 +854,20 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 37, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ - "$$\\left(x + 1\\right) \\left(x + 2\\right) \\left(x + 3\\right)$$" + "$\\displaystyle \\left(x + 1\\right) \\left(x + 2\\right) \\left(x + 3\\right)$" ], "text/plain": [ "(x + 1)⋅(x + 2)⋅(x + 3)" ] }, - "execution_count": 19, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" } @@ -893,20 +894,20 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 38, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ - "$$\\left(x + 1\\right) \\left(x + 2\\right) \\left(x + 3\\right)$$" + "$\\displaystyle \\left(x + 1\\right) \\left(x + 2\\right) \\left(x + 3\\right)$" ], "text/plain": [ "(x + 1)⋅(x + 2)⋅(x + 3)" ] }, - "execution_count": 20, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } @@ -918,20 +919,20 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 39, "metadata": {}, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAgAAAAPBAMAAAArJJMAAAAAJFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADHJj5lAAAAC3RSTlMAzRAiu5mrdu/dZmiL4QAAAAAjSURBVAgdY2BgEGJgYDDZxMCgEgYkGNhJJVgzdmYB9TEwAACPpQrvlUCHcAAAAABJRU5ErkJggg==\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOCAYAAAASVl2WAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAXUlEQVQYGWP8//8/Aww0NDQYAdmrgdgYyP4AEmcBMgSA9GwgfgfEJkCsBMRwAFIAUhkKEgGyy4AUyBQ4YIKzcDBGFUAChmA4MIIiCxjEoAgCxQkoLkD0PSA+B8SnAeDgGGsGGU5UAAAAAElFTkSuQmCC\n", "text/latex": [ - "$$1$$" + "$\\displaystyle 1$" ], "text/plain": [ "1" ] }, - "execution_count": 21, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -943,14 +944,14 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 40, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": 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"text/latex": [ - "$$\\frac{1}{\\tan{\\left (x \\right )}}$$" + "$\\displaystyle \\frac{1}{\\tan{\\left(x \\right)}}$" ], "text/plain": [ " 1 \n", @@ -958,7 +959,7 @@ "tan(x)" ] }, - "execution_count": 22, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } @@ -997,9 +998,9 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ - "$$\\frac{1}{\\left(a + 1\\right) \\left(a + 2\\right)}$$" + "$\\displaystyle \\frac{1}{\\left(a + 1\\right) \\left(a + 2\\right)}$" ], "text/plain": [ " 1 \n", @@ -1023,9 +1024,9 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ - "$$- \\frac{1}{a + 2} + \\frac{1}{a + 1}$$" + "$\\displaystyle - \\frac{1}{a + 2} + \\frac{1}{a + 1}$" ], "text/plain": [ " 1 1 \n", @@ -1161,21 +1162,21 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 45, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ - "$$\\left(x + \\pi\\right)^{2}$$" + "$\\displaystyle \\left(x + \\pi\\right)^{2}$" ], "text/plain": [ " 2\n", "(x + π) " ] }, - "execution_count": 23, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -1186,21 +1187,21 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 46, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ - "$$4 \\left(x + \\pi\\right)^{3}$$" + "$\\displaystyle 4 \\left(x + \\pi\\right)^{3}$" ], "text/plain": [ " 3\n", "4⋅(x + π) " ] }, - "execution_count": 24, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -1218,21 +1219,21 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 47, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ - "$$12 \\left(x + \\pi\\right)^{2}$$" + "$\\displaystyle 12 \\left(x + \\pi\\right)^{2}$" ], "text/plain": [ " 2\n", "12⋅(x + π) " ] }, - "execution_count": 25, + "execution_count": 47, "metadata": {}, "output_type": "execute_result" } @@ -1243,21 +1244,21 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 48, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ - "$$12 \\left(x + \\pi\\right)^{2}$$" + "$\\displaystyle 12 \\left(x + \\pi\\right)^{2}$" ], "text/plain": [ " 2\n", "12⋅(x + π) " ] }, - "execution_count": 26, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } @@ -1275,7 +1276,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 49, "metadata": {}, "outputs": [], "source": [ @@ -1284,7 +1285,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 50, "metadata": {}, "outputs": [], "source": [ @@ -1300,20 +1301,20 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 51, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ - "$$- x \\left(x y \\cos{\\left (x y \\right )} + 2 \\sin{\\left (x y \\right )}\\right)$$" + "$\\displaystyle - x \\left(x y \\cos{\\left(x y \\right)} + 2 \\sin{\\left(x y \\right)}\\right)$" ], "text/plain": [ "-x⋅(x⋅y⋅cos(x⋅y) + 2⋅sin(x⋅y))" ] }, - "execution_count": 29, + "execution_count": 51, "metadata": {}, "output_type": "execute_result" } @@ -1338,20 +1339,20 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 52, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": 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"text/latex": [ - "$$\\sin{\\left (x y \\right )} + \\cos{\\left (y z \\right )}$$" + "$\\displaystyle \\sin{\\left(x y \\right)} + \\cos{\\left(y z \\right)}$" ], "text/plain": [ "sin(x⋅y) + cos(y⋅z)" ] }, - "execution_count": 30, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -1362,14 +1363,14 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 53, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", "text/latex": [ - "$$x \\cos{\\left (y z \\right )} + \\begin{cases} - \\frac{\\cos{\\left (x y \\right )}}{y} & \\text{for}\\: y \\neq 0 \\\\0 & \\text{otherwise} \\end{cases}$$" + "$\\displaystyle x \\cos{\\left(y z \\right)} + \\begin{cases} - \\frac{\\cos{\\left(x y \\right)}}{y} & \\text{for}\\: y \\neq 0 \\\\0 & \\text{otherwise} \\end{cases}$" ], "text/plain": [ " ⎛⎧-cos(x⋅y) ⎞\n", @@ -1379,7 +1380,7 @@ " ⎝⎩ 0 otherwise⎠" ] }, - "execution_count": 31, + "execution_count": 53, "metadata": {}, "output_type": "execute_result" } @@ -1397,20 +1398,20 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 54, "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/latex": [ - "$$2 \\cos{\\left (y z \\right )}$$" + "$\\displaystyle 2 \\cos{\\left(y z \\right)}$" ], "text/plain": [ "2⋅cos(y⋅z)" ] }, - "execution_count": 57, + "execution_count": 54, "metadata": {}, "output_type": "execute_result" } @@ -1428,21 +1429,22 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 55, "metadata": {}, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAB0AAAAVBAMAAABI7vhRAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAInarRM2ZVBDdiWbv\nuzJCz3LGAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAr0lEQVQYGWNggADG/2DwAcplYHaAsSC0KCqX\nIR2VzzEBlc9WgMrvROUyrEblg7TrAx3wDSrMtIGBa12RtKIAkO8CxJwMDM8ZFjI9ADKZjgIJJSBm\nuMDcACQl9B0YGEC28xkAVQFB/wUG7gVAmm0DfwOQYmD7yMAJYvQ38DsAKQbGbwy7QLQmA88CEM1g\n3zADRN1mYF4AohneL08A0zCC9WgDjAmm2WGuhIkGwhhAGgDwdic2xV4k0wAAAABJRU5ErkJggg==\n", + "image/png": 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"text/latex": [ - "$$\\sqrt{\\pi}$$" + "$\\displaystyle \\left( e^{- x^{2}}, \\ \\left( x, \\ -\\infty, \\ \\infty\\right)\\right)$" ], "text/plain": [ - " ___\n", - "╲╱ π " + "⎛ 2 ⎞\n", + "⎜ -x ⎟\n", + "⎝ℯ , (x, -∞, ∞)⎠" ] }, - "execution_count": 58, + "execution_count": 55, "metadata": {}, "output_type": "execute_result" } @@ -1474,7 +1476,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 56, "metadata": {}, "outputs": [], "source": [ @@ -1483,14 +1485,14 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 57, "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/latex": [ - "$$\\sum_{n=1}^{10} \\frac{1}{n^{2}}$$" + "$\\displaystyle \\sum_{n=1}^{10} \\frac{1}{n^{2}}$" ], "text/plain": [ " 10 \n", @@ -1505,7 +1507,7 @@ "n = 1 " ] }, - "execution_count": 39, + "execution_count": 57, "metadata": {}, "output_type": "execute_result" } @@ -1808,14 +1810,14 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 58, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ - "$$1 + x + \\frac{x^{2}}{2} + \\frac{x^{3}}{6} + \\frac{x^{4}}{24} + \\frac{x^{5}}{120} + O\\left(x^{6}\\right)$$" + "$\\displaystyle 1 + x + \\frac{x^{2}}{2} + \\frac{x^{3}}{6} + \\frac{x^{4}}{24} + \\frac{x^{5}}{120} + O\\left(x^{6}\\right)$" ], "text/plain": [ " 2 3 4 5 \n", @@ -1824,7 +1826,7 @@ " 2 6 24 120 " ] }, - "execution_count": 41, + "execution_count": 58, "metadata": {}, "output_type": "execute_result" } @@ -1842,14 +1844,14 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 59, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", "text/latex": [ - "$$e + e \\left(x - 1\\right) + \\frac{e}{2} \\left(x - 1\\right)^{2} + \\frac{e}{6} \\left(x - 1\\right)^{3} + \\frac{e}{24} \\left(x - 1\\right)^{4} + \\frac{e}{120} \\left(x - 1\\right)^{5} + \\mathcal{O}\\left(\\left(x - 1\\right)^{6}; x\\rightarrow1\\right)$$" + "$\\displaystyle e + e \\left(x - 1\\right) + \\frac{e \\left(x - 1\\right)^{2}}{2} + \\frac{e \\left(x - 1\\right)^{3}}{6} + \\frac{e \\left(x - 1\\right)^{4}}{24} + \\frac{e \\left(x - 1\\right)^{5}}{120} + O\\left(\\left(x - 1\\right)^{6}; x\\rightarrow 1\\right)$" ], "text/plain": [ " 2 3 4 5 \n", @@ -1863,7 +1865,7 @@ " " ] }, - "execution_count": 72, + "execution_count": 59, "metadata": {}, "output_type": "execute_result" } @@ -1881,14 +1883,14 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 60, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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\n", "text/latex": [ - "$$e + e \\left(x - 1\\right) + \\frac{e}{2} \\left(x - 1\\right)^{2} + \\frac{e}{6} \\left(x - 1\\right)^{3} + \\frac{e}{24} \\left(x - 1\\right)^{4} + \\frac{e}{120} \\left(x - 1\\right)^{5} + \\frac{e}{720} \\left(x - 1\\right)^{6} + \\frac{e}{5040} \\left(x - 1\\right)^{7} + \\frac{e}{40320} \\left(x - 1\\right)^{8} + \\frac{e}{362880} \\left(x - 1\\right)^{9} + \\mathcal{O}\\left(\\left(x - 1\\right)^{10}; x\\rightarrow1\\right)$$" + "$\\displaystyle e + e \\left(x - 1\\right) + \\frac{e \\left(x - 1\\right)^{2}}{2} + \\frac{e \\left(x - 1\\right)^{3}}{6} + \\frac{e \\left(x - 1\\right)^{4}}{24} + \\frac{e \\left(x - 1\\right)^{5}}{120} + \\frac{e \\left(x - 1\\right)^{6}}{720} + \\frac{e \\left(x - 1\\right)^{7}}{5040} + \\frac{e \\left(x - 1\\right)^{8}}{40320} + \\frac{e \\left(x - 1\\right)^{9}}{362880} + O\\left(\\left(x - 1\\right)^{10}; x\\rightarrow 1\\right)$" ], "text/plain": [ " 2 3 4 5 6\n", @@ -1902,7 +1904,7 @@ " 5040 40320 362880 " ] }, - "execution_count": 73, + "execution_count": 60, "metadata": {}, "output_type": "execute_result" } @@ -2288,20 +2290,20 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 61, "metadata": {}, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEoAAAAUBAMAAADYerbFAAAALVBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAdt3NMolEEFTvq5lmIsfa\npuIAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAB3SURBVCgVYxAyYSAEDqsxhBFSA5QPQ1bFMR2Ljs4C\nVFVVu55jqGJfvQ5NFQMjpioGBrlBrqpYCQSAgTuYXV9ngBb+6KHKvfLxGgYmdVRVu+ZZHUCNbbB8\nL6oqMA8lTYBFAohRxS5AjCoeLIqA7hJSwSaOIiakBgD0ZimSClhTrgAAAABJRU5ErkJggg==\n", + "image/png": 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+ "image/png": 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\n", "text/latex": [ - "$$\\left [ - i \\sqrt{- \\frac{1}{2} + \\frac{\\sqrt{5}}{2}}, \\quad i \\sqrt{- \\frac{1}{2} + \\frac{\\sqrt{5}}{2}}, \\quad - \\sqrt{\\frac{1}{2} + \\frac{\\sqrt{5}}{2}}, \\quad \\sqrt{\\frac{1}{2} + \\frac{\\sqrt{5}}{2}}\\right ]$$" + "$\\displaystyle \\left[ - i \\sqrt{- \\frac{1}{2} + \\frac{\\sqrt{5}}{2}}, \\ i \\sqrt{- \\frac{1}{2} + \\frac{\\sqrt{5}}{2}}, \\ - \\sqrt{\\frac{1}{2} + \\frac{\\sqrt{5}}{2}}, \\ \\sqrt{\\frac{1}{2} + \\frac{\\sqrt{5}}{2}}\\right]$" ], "text/plain": [ - "⎡ _____________ _____________ ___________ ________\n", - "⎢ ╱ ___ ╱ ___ ╱ ___ ╱ _\n", - "⎢ ╱ 1 ╲╱ 5 ╱ 1 ╲╱ 5 ╱ 1 ╲╱ 5 ╱ 1 ╲╱ \n", - "⎢-ⅈ⋅ ╱ - ─ + ───── , ⅈ⋅ ╱ - ─ + ───── , - ╱ ─ + ───── , ╱ ─ + ───\n", - "⎣ ╲╱ 2 2 ╲╱ 2 2 ╲╱ 2 2 ╲╱ 2 2\n", - "\n", - "___⎤\n", - "__ ⎥\n", - "5 ⎥\n", - "── ⎥\n", - " ⎦" + "⎡ __________ __________ ________ ________⎤\n", + "⎢ ╱ 1 √5 ╱ 1 √5 ╱ 1 √5 ╱ 1 √5 ⎥\n", + "⎢-ⅈ⋅ ╱ - ─ + ── , ⅈ⋅ ╱ - ─ + ── , - ╱ ─ + ── , ╱ ─ + ── ⎥\n", + "⎣ ╲╱ 2 2 ╲╱ 2 2 ╲╱ 2 2 ╲╱ 2 2 ⎦" ] }, - "execution_count": 87, + "execution_count": 62, "metadata": {}, "output_type": "execute_result" } @@ -2520,7 +2515,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.6.9" } }, "nbformat": 4, diff --git a/6_pytorch/0_basic/Tensor-and-Variable.ipynb b/6_pytorch/0_basic/1-Tensor-and-Variable.ipynb similarity index 100% rename from 6_pytorch/0_basic/Tensor-and-Variable.ipynb rename to 6_pytorch/0_basic/1-Tensor-and-Variable.ipynb diff --git a/6_pytorch/0_basic/autograd.ipynb b/6_pytorch/0_basic/2-autograd.ipynb similarity index 100% rename from 6_pytorch/0_basic/autograd.ipynb rename to 6_pytorch/0_basic/2-autograd.ipynb diff --git a/6_pytorch/0_basic/dynamic-graph.ipynb b/6_pytorch/0_basic/3-dynamic-graph.ipynb similarity index 100% rename from 6_pytorch/0_basic/dynamic-graph.ipynb rename to 6_pytorch/0_basic/3-dynamic-graph.ipynb diff --git a/README.md b/README.md index bc8ce15..3219f82 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,6 @@ # 机器学习 -机器学习越来越多应用到飞行器、机器人等领域,其目的是利用计算机实现类似人类的智能,从而实现装备的智能化与无人化。本课程旨在引导学生掌握机器学习的基本知识、典型方法与技术,通过具体的应用案例激发学生对该学科的兴趣,鼓励学生能够从人工智能的角度来分析、解决飞行器、机器人所面临的问题和挑战。本课程主要内容包括Python编程基础,机器学习模型,无监督学习、监督学习、深度学习基础知识、实际编程,并学习如何解决实际问题。 +机器学习越来越多应用到飞行器、机器人等领域,其目的是利用计算机实现类似人类的智能,从而实现装备的智能化与无人化。本课程旨在引导学生掌握机器学习的基本知识、典型方法与技术,通过具体的应用案例激发学生对该学科的兴趣,鼓励学生能够从人工智能的角度来分析、解决飞行器、机器人所面临的问题和挑战。本课程主要内容包括Python编程基础,机器学习模型,无监督学习、监督学习、深度学习基础知识与实现,并学习如何利用机器学习解决实际问题。 由于**本课程需要大量的编程练习才能取得比较好的学习效果**,因此需要认真去完成[《机器学习-作业和报告》](https://gitee.com/pi-lab/machinelearning_homework),写作业的过程可以查阅网上的资料,但是不能直接照抄,需要自己独立思考并独立写出代码。 @@ -19,24 +19,24 @@ - [Function](0_python/6_Function.ipynb) - [Class](0_python/7_Class.ipynb) 3. [numpy & matplotlib](1_numpy_matplotlib_scipy_sympy/) - - [numpy](1_numpy_matplotlib_scipy_sympy/numpy_tutorial.ipynb) - - [matplotlib](1_numpy_matplotlib_scipy_sympy/matplotlib_simple_tutorial.ipynb) - - [ipython & notebook](1_numpy_matplotlib_scipy_sympy/ipython_notebook.ipynb) + - [numpy](1_numpy_matplotlib_scipy_sympy/1-numpy_tutorial.ipynb) + - [matplotlib](1_numpy_matplotlib_scipy_sympy/2-matplotlib_tutorial.ipynb) + - [ipython & notebook](1_numpy_matplotlib_scipy_sympy/3-ipython_notebook.ipynb) 4. [knn](2_knn/knn_classification.ipynb) -5. [kMenas](3_kmeans/k-means.ipynb) +5. [kMenas](3_kmeans/1-k-means.ipynb) 6. [Logistic Regression](4_logistic_regression/) - - [Least squares](4_logistic_regression/Least_squares.ipynb) - - [Logistic regression](4_logistic_regression/Logistic_regression.ipynb) + - [Least squares](4_logistic_regression/1-Least_squares.ipynb) + - [Logistic regression](4_logistic_regression/2-Logistic_regression.ipynb) 7. [Neural Network](5_nn/) - - [Perceptron](5_nn/Perceptron.ipynb) - - [Multi-layer Perceptron & BP](5_nn/mlp_bp.ipynb) - - [Softmax & cross-entroy](5_nn/softmax_ce.ipynb) + - [Perceptron](5_nn/1-Perceptron.ipynb) + - [Multi-layer Perceptron & BP](5_nn/2-mlp_bp.ipynb) + - [Softmax & cross-entroy](5_nn/3-softmax_ce.ipynb) 8. [PyTorch](6_pytorch/) - Basic - [short tutorial](6_pytorch/PyTorch_quick_intro.ipynb) - - [basic/Tensor-and-Variable](6_pytorch/0_basic/Tensor-and-Variable.ipynb) - - [basic/autograd](6_pytorch/0_basic/autograd.ipynb) - - [basic/dynamic-graph](6_pytorch/0_basic/dynamic-graph.ipynb) + - [basic/Tensor-and-Variable](6_pytorch/0_basic/1-Tensor-and-Variable.ipynb) + - [basic/autograd](6_pytorch/0_basic/2-autograd.ipynb) + - [basic/dynamic-graph](6_pytorch/0_basic/3-dynamic-graph.ipynb) - NN & Optimization - [nn/linear-regression-gradient-descend](6_pytorch/1_NN/linear-regression-gradient-descend.ipynb) - [nn/logistic-regression](6_pytorch/1_NN/logistic-regression.ipynb) @@ -99,7 +99,7 @@ * [Git系统学习 - 廖雪峰的Git教程](https://www.liaoxuefeng.com/wiki/0013739516305929606dd18361248578c67b8067c8c017b000) * Markdown - * [Markdown——入门指南](https://www.jianshu.com/p/1e402922ee32) + * [Markdown—入门指南](https://www.jianshu.com/p/1e402922ee32)