diff --git a/docs/recipes/PSD_tests.ipynb b/docs/recipes/PSD_tests.ipynb index 165df9c..e8988a9 100644 --- a/docs/recipes/PSD_tests.ipynb +++ b/docs/recipes/PSD_tests.ipynb @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "dressed-demographic", "metadata": {}, "outputs": [], @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "binary-overhead", "metadata": {}, "outputs": [], @@ -55,33 +55,10 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "russian-gospel", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "t = np.linspace(10,20,100)\n", "s = 0.5*np.sin(1*t) +0.5*np.sin(6*t)+1\n", @@ -91,23 +68,10 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "innocent-cholesterol", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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"/Users/juan/miniconda3/envs/mutis/lib/python3.9/site-packages/scipy/signal/spectral.py:1961: UserWarning: nperseg = 256 is greater than input length = 100, using nperseg = 100\n", - " warnings.warn('nperseg = {0:d} is greater than input length '\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "freqs = np.linspace(1e-3,5,1000)\n", "sxx = sp.signal.lombscargle(x=t, y=s, freqs=freqs, normalize=True)\n", @@ -360,33 +249,10 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "defined-russian", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.0, 4.0)" - ] - }, - "execution_count": 8, - "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" - } - ], + "outputs": [], "source": [ "N = s.size\n", "k = -(N // 2) + np.arange(N)\n", @@ -403,43 +269,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "secure-principle", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/juan/miniconda3/envs/mutis/lib/python3.9/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n", - " return array(a, dtype, copy=False, order=order)\n", - "/Users/juan/miniconda3/envs/mutis/lib/python3.9/site-packages/numpy/core/_asarray.py:102: ComplexWarning: Casting complex values to real discards the imaginary part\n", - " return array(a, dtype, copy=False, order=order)\n" - ] - }, - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "s2nft = 1/N*nfft.nfft((t-(t.max()+t.min())/2)/np.ptp(t), nft, use_fft=True)\n", "s2ft = sp.fft.ifft(ft)\n", @@ -450,23 +283,10 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "secondary-nicaragua", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "freqs = np.linspace(-5,+5,1000)\n", "sxx_ft = sp.signal.lombscargle(x=t, y=s2ft, freqs=freqs, normalize=True)\n", diff --git a/docs/recipes/mutis_workflow.ipynb b/docs/recipes/mutis_workflow.ipynb index 6fe2394..466d0d3 100644 --- a/docs/recipes/mutis_workflow.ipynb +++ b/docs/recipes/mutis_workflow.ipynb @@ -26,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -37,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -65,7 +65,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -74,213 +74,9 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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yearIdIpLdpLchidchipCdpCMJD
02007.35343.5100.1802.590.51255.64.7-0.580.2254230.2015
12007.36713.9200.2002.610.47245.25.0-0.870.2354234.8459
22007.60001.6500.0903.580.48242.33.8-0.350.2254319.5631
32007.63561.3800.0702.490.54268.54.50.310.2254332.5276
42007.70410.6900.0403.270.54250.74.1-0.530.2254358.4618
.................................
1002020.42781.0290.0524.780.59352.03.4-3.800.4259005.5950
1012020.45422.2160.1114.380.58347.63.20.330.3159015.2792
1022020.50632.2260.1111.210.47320.012.21.000.3159034.2958
1032020.66712.2340.1127.180.67311.81.81.350.3359093.2050
1042020.74382.2660.1137.710.61305.32.0-0.550.3259121.2212
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105 rows × 10 columns

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" - ], - "text/plain": [ - " year I dI pL dpL chi dchi pC dpC MJD\n", - "0 2007.3534 3.510 0.180 2.59 0.51 255.6 4.7 -0.58 0.22 54230.2015\n", - "1 2007.3671 3.920 0.200 2.61 0.47 245.2 5.0 -0.87 0.23 54234.8459\n", - "2 2007.6000 1.650 0.090 3.58 0.48 242.3 3.8 -0.35 0.22 54319.5631\n", - "3 2007.6356 1.380 0.070 2.49 0.54 268.5 4.5 0.31 0.22 54332.5276\n", - "4 2007.7041 0.690 0.040 3.27 0.54 250.7 4.1 -0.53 0.22 54358.4618\n", - ".. ... ... ... ... ... ... ... ... ... ...\n", - "100 2020.4278 1.029 0.052 4.78 0.59 352.0 3.4 -3.80 0.42 59005.5950\n", - "101 2020.4542 2.216 0.111 4.38 0.58 347.6 3.2 0.33 0.31 59015.2792\n", - "102 2020.5063 2.226 0.111 1.21 0.47 320.0 12.2 1.00 0.31 59034.2958\n", - "103 2020.6671 2.234 0.112 7.18 0.67 311.8 1.8 1.35 0.33 59093.2050\n", - "104 2020.7438 2.266 0.113 7.71 0.61 305.3 2.0 -0.55 0.32 59121.2212\n", - "\n", - "[105 rows x 10 columns]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "data['3mm'] = pd.read_csv('data/deg2-0235+164-3mm.dat', delim_whitespace=True, header=0, comment='!')\n", "data['3mm'].mask(data['3mm'] == -1000, np.nan, inplace=True)\n", @@ -290,311 +86,9 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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yearNCFluxMDJFluxFlux_ErralphabetaEbUpperLimitTS_VALUENormNorm_ErrT_STARTT_STOPNPRED
02008.60506511.894027e-0754687.50001.894027e-073.326300e-082.08030.095422887.56Ignored120.402.714675e-114.769000e-12239673599240278399116.30
12008.62423025.572932e-0754694.50005.572932e-074.754800e-082.08030.095422887.56Ignored675.507.987585e-116.817000e-12240278399240883199334.00
22008.64339535.439230e-0754701.50005.439230e-075.684800e-082.08030.095422887.56Ignored500.007.795953e-118.150300e-12240883199241487999253.10
32008.66256046.763391e-0754708.50006.763391e-076.980500e-082.08030.095422887.56Ignored623.009.693850e-111.000800e-11241487999242092799260.40
42008.68172559.020173e-0754715.50009.020173e-077.435100e-082.08030.095422887.56Ignored994.101.292846e-101.066000e-11242092799242697599362.30
...................................................
6322020.763861151.119233e-0759128.50011.119233e-075.747500e-082.08030.095422887.56Ignored14.031.604177e-118.240300e-1262337600562398080523.45
6332020.783026169.138770e-0859135.50019.138770e-083.188800e-082.08030.095422887.56Ignored21.531.309844e-114.571800e-1262398080562458560537.80
6342020.802191176.064478e-0859142.50012.843496e-081.657600e-082.08030.095422887.566.064478E-087.044.075533e-122.376500e-1262458560562519040512.19
6352020.821356184.770228e-0859149.50014.770228e-082.429000e-082.08030.095422887.56Ignored11.236.837084e-123.482500e-1262519040562579520520.28
6362020.840520191.733534e-0759156.50011.733534e-073.886500e-082.08030.095422887.56Ignored87.282.484643e-115.572100e-1262579520562640000567.96
\n", - "

636 rows × 16 columns

\n", - "
" - ], - "text/plain": [ - " year N CFlux MDJ Flux Flux_Err \\\n", - "0 2008.605065 1 1.894027e-07 54687.5000 1.894027e-07 3.326300e-08 \n", - "1 2008.624230 2 5.572932e-07 54694.5000 5.572932e-07 4.754800e-08 \n", - "2 2008.643395 3 5.439230e-07 54701.5000 5.439230e-07 5.684800e-08 \n", - "3 2008.662560 4 6.763391e-07 54708.5000 6.763391e-07 6.980500e-08 \n", - "4 2008.681725 5 9.020173e-07 54715.5000 9.020173e-07 7.435100e-08 \n", - ".. ... .. ... ... ... ... \n", - "632 2020.763861 15 1.119233e-07 59128.5001 1.119233e-07 5.747500e-08 \n", - "633 2020.783026 16 9.138770e-08 59135.5001 9.138770e-08 3.188800e-08 \n", - "634 2020.802191 17 6.064478e-08 59142.5001 2.843496e-08 1.657600e-08 \n", - "635 2020.821356 18 4.770228e-08 59149.5001 4.770228e-08 2.429000e-08 \n", - "636 2020.840520 19 1.733534e-07 59156.5001 1.733534e-07 3.886500e-08 \n", - "\n", - " alpha beta Eb UpperLimit TS_VALUE Norm \\\n", - "0 2.0803 0.095422 887.56 Ignored 120.40 2.714675e-11 \n", - "1 2.0803 0.095422 887.56 Ignored 675.50 7.987585e-11 \n", - "2 2.0803 0.095422 887.56 Ignored 500.00 7.795953e-11 \n", - "3 2.0803 0.095422 887.56 Ignored 623.00 9.693850e-11 \n", - "4 2.0803 0.095422 887.56 Ignored 994.10 1.292846e-10 \n", - ".. ... ... ... ... ... ... \n", - "632 2.0803 0.095422 887.56 Ignored 14.03 1.604177e-11 \n", - "633 2.0803 0.095422 887.56 Ignored 21.53 1.309844e-11 \n", - "634 2.0803 0.095422 887.56 6.064478E-08 7.04 4.075533e-12 \n", - "635 2.0803 0.095422 887.56 Ignored 11.23 6.837084e-12 \n", - "636 2.0803 0.095422 887.56 Ignored 87.28 2.484643e-11 \n", - "\n", - " Norm_Err T_START T_STOP NPRED \n", - "0 4.769000e-12 239673599 240278399 116.30 \n", - "1 6.817000e-12 240278399 240883199 334.00 \n", - "2 8.150300e-12 240883199 241487999 253.10 \n", - "3 1.000800e-11 241487999 242092799 260.40 \n", - "4 1.066000e-11 242092799 242697599 362.30 \n", - ".. ... ... ... ... \n", - "632 8.240300e-12 623376005 623980805 23.45 \n", - "633 4.571800e-12 623980805 624585605 37.80 \n", - "634 2.376500e-12 624585605 625190405 12.19 \n", - "635 3.482500e-12 625190405 625795205 20.28 \n", - "636 5.572100e-12 625795205 626400005 67.96 \n", - "\n", - "[636 rows x 16 columns]" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "data['gamma'] = pd.read_csv('data/0235_P8c_bin7_nov20.dat', delim_whitespace=True, header=0, comment='#')\n", "\n", @@ -619,22 +113,9 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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4acwRvfCojSxVUlYM9cfTrl3FvdGyF479XuKkMYcUuQ3AVVK9p/Z4KujN0XsV+djvNU4a1jW1PVpcJWXWGzInDUkfAgaBTcCmiPhRu4Ky/lff++ZT17pKqpdt3ryYsTGXDOeCzEkjIj4gaQj4DeBNkl4YEe9oX2jWz+p732zf7nrnXjU2Bn/+nlOYmoiee7yI79/I76BJQ9LvAG8DngbuA74HfCz9zQuzXKpXpEuWHHh3seude1O5DFMT6pnHi/j+jdnJUtL4PHBhOu+LSX786CTg+PaFZf2o/or0U9cOurG7D4yOwsIFkT4Jt3ceL+L7N5qTJWlsiYhb0+F/bGcw1t/qr0jd2N0fRkbg6qvvYceOU3viAsD3b8xOlqTxLUnvAa6JiGl/+MjsYHr1itQO7qSTdvTc5+n7N5qTJWmcRPJ02fdJ2si+3lMudRRUURv3eu2K1Pqf29HyO2jSiIjfB5B0KPsSyMtwVVWh9ErjXi9ekVo+Rb1osdbI0+X2GWBD+mcFVcTGvdqTiPW3+vtveqn7rWXjO8L7RNEa96qJov4nQov4CG1rnfr7b4re/dbyc9LoM0Vo3Ku92pSCiN54hLbNnn/dr/85afShbjfu1V5tBjB/npiaKu4jtK11inDRYu3lpGEtV3+1WfvE2iI/Qttao9sXLdZeThrWMrUN3tNdbRb9EdpmNrOuJQ1Jvwp8qWbSccAHgOcC7wCeTKe/PyJuS5e5FHg7MAn8eUTc3rGAbUaNes34bm9z99v+07WkEREPACsAJA0CPwFuBf6U5IGI/6t2fkknAmeT3CuyDPimpBdFxGQn47bG3GvG6rn7bX8a6HYAqdOBH0fEwzPMcxZwU0TsioiHgC3AaR2Jzg6q2o4xOAiHLHSvGWt8IWG9ryhtGmcDX6wZv0jSOSQ3Ev5lRPwHcCRwV808W9NpB5C0ElgJMDQ0RDnn0VqqVPYbr7TxaB8fH88dXxFU0n30yU9+l02bnsuKFU/zd3/H3uFdu3Y0PEn06vY2Y3x8nEqlQrnueMqiUio1tVy3NPpcFy9ezMIFp7Bnj5g/P1i8+B7K5dl3hKgee908jop8HLf7/NX1pCFpAfB7QLUG/NPA5UCk/68GzgPUYPGGD1CMiNXAaoDh4eEYzXvZW7eTS228bC6Xy+SOrwDK5TKPPgp/8Z5T9qt+uPDCgy/Xi9vbjHK5TKlUYrRUyr8sNLVctzT6XEdH4dRTa58GcGpL2jeqJ+tuHkeFPo7bfP7qetIAXgt8NyIeB6j+B5D0GeCr6ehWYHnNckcB2zoVZNEUoYGxUnE7hs2s2v3W7Rv9owhJ463UVE1JOiIiHktH30jya4EA64AvSPooSUP4CcB3OhloEbzl+rGGDyVcetz43keJtNvYGNx5JzzrWb7717JxR4n+0dWkIelZwBnAO2smf0TSCpKqp0r1tYjYLOlm4H5gArhwrvacavRQwqXHjXfkvfdeMe4JNBBc92n863t2UH68SP/oatKIiF8AS+qm/fEM818BXNHuuIrsS+8cafhQwpGRzjyYcO8VIyKm8K/vWSZ+vEj/KEL1lOXUzS9g9Yrxl7+EwUFfMVp2frxIf3DS6FHd+gJWE9Zll0Gp5JOANacIHTmsOU4altvICLziFd2OwnqVe1L1tqLcEW4FNzYGV16Z/DebDd8p3ttc0rCDanRlaNasXuhJ5eqz6Tlp2EH5ytBaqb4jBySl2G6foN9yfVKMbnQf1PqrTu5eYAXjpGEH1ejK8HY/lN5moch3ije6D8r2cdKwac30o0pOGtYKRbpTvPpEhUb3Qdk+ThrWkH9UyTqhiO0bvhFxZk4a1lCRrgCtfxW1fcM3Ik7PScMaKuIVoPWnIrdv2IGcNKwhF9Gt01y67Q1OGgXXzf7iLqJbJ9WXbpcsKUZVle3PSaOgivC7GWadVFu6XbIE3n2Rq6qKyI8RKbBu9Bf340Ksm0ZGkkftb9/uG0qLyiWNgurG72a4IdKKolFHjGpV7aOPwvLlB1mBtY2TRoF1ujHaDZFWFPXH/mVfvndvVe28QTjnnO7EVU1cixcvnrM9Cp00Cq6TjdHuZmtFUnvsP/mRfVW1k5NQqXQujkbPpBqYdwr/95F75+QzqZw0bC93s7Wiuv69x+ytqpWSHwDrtP3aGCc0Z59J5aRh+3E3Wyui2guaLVs626bR6JlU8+bFnH0mVVd7T0mqSLpX0iZJG9Jpz5d0h6Qfpf+fVzP/pZK2SHpA0mu6F7mZdVq1Z9Xy5UljeKd7+VUT1+WXw9VX3zNnL66KUNJ4VUQ8VTN+CbA+Ij4s6ZJ0/H2STgTOBk4ClgHflPSiiJjsfMhm1i033PE4D991GBHBoYeI9es7VzqulsTL5R2decMCKuJ9GmcBN6TDNwBvqJl+U0TsioiHgC3AaZ0Pr//43gzrJb/YvpCYEkTSacP3cHRWt0saAXxDUgDXR8RqYCgiHgOIiMckHZ7OeyRwV82yW9NpNgu+N8N6zetf/lxu/DFEwIIFuJdfh3U7abw8IralieEOST+YYV41mBYNZ5RWAisBhoaGKOe8FCnV9eertPFSZnx8PHd8rbR27dFMTpSSrowTYs2aB9m165GDLldJ91He2Lu9vZ00Pj5OpVKh3ET/0Eqp1NRy3dLJz3VyssIZZyzkyCMfZMWKp9m1a0fHSxtFPo7bff7qatKIiG3p/yck3UpS3fS4pCPSUsYRwBPp7FuB2j4TRwHbplnvamA1wPDwcIzmvRSp28mlNl7KlMtlcsfXQgsXwtq11bvOBzjvvOMYGTnuoMtVvzB5Y+/29nZSuVymVCox2kT/0DI0tVy3dPJzTfYrrFp18OO0nTEU9jhu8/mra20akhZJek51GPhd4D5gHXBuOtu5wFfS4XXA2ZIWSjoWOAH4Tmej7j+1PUI62aBoZr2pmyWNIeBWSdU4vhARX5d0N3CzpLcDjwBvBoiIzZJuBu4HJoAL3XOqNXxvhpllpYiGzQJ9Q9KTwMPdjmMGS4GnDjpX/5hL2+tt7V/9vr3HRMRhjV7o+6RRdJI2RMRwt+PolLm0vd7W/jXXtrdWEe/TMDOzgnLSMDOzzJw0um91twPosLm0vd7W/jXXtncvt2mYmVlmLmmYmVlmThpmZpaZk4aZmWXmpGFmZpk5aZiZWWZOGmZmlpmThpmZZeakYWZmmTlpmJlZZk4aZmaWmZOGmZll5qRhZmaZOWmYmVlmThpmZpbZvG4H0G5Lly6NUqmUb6Ft2/YfX7asZfHU27lzJ4sWLWrb+ttlW7qPluXcN726vc3YuXMnP1u0iGaOnm3Q1HLd0snPtdljr5UKfRy34Py1cePGp6b7jfC+TxqlUokNGzbkW2jVqpnHW6hcLjM6Otq29bfLqnSfrMq5b3p1e5tRLpcpj46yqollV6V/vaKTn2uzx14rFfo4bsH5S9LD073m6qmCGxuDK69M/meZ3uwyZmZZ9H1Jo5eNjcHpp8Pu3bBgAaxfDyMj009vdhkzs6xc0iiwcjk5yU9OJv/L5ZmnN7uMmVlWThoFNjqalAoGB5P/1SrU6aY3u4yZWVauniqwkZGkGqlcTk7y1eqk6aY3u4yZWVZOGgU3MtL4BD/d9GaXMTPLwtVTZmaWmZOGmfWNvN3Nm52+efPi1gffI1w9ZWZ9IW9389lMnzfvFE49dW5W97qkYWZ9IW9389lM37NHc7bbupOGmfWFvN3NZzN9/vyYs93WXT1lZn0hb3fz2UxfvPgeRkZO7di2FYmThpn1jbzdzZudXi7vmH2wPcrVU2ZmlpmThpmZZeakYWZmmTlpmJlZZk4aZmaWmZOGmZll5qRhZmaZOWmYmVlmhUkaks6U9ICkLZIuafD6qKSfSdqU/n2gG3Gamc1lhbgjXNIg8EngDGArcLekdRFxf92sd0bE6zseoJmZAcUpaZwGbImIByNiN3ATcFaXYzIzszqFKGkARwKP1oxvBV7WYL4RSfcA24C/iojNjVYmaSWwEmBoaIhyzmcYlyqV/cYrbXwG8vj4eO74iqCS7qO8sffq9jZjfHycSqVCue54yqJSKjW1XLd08nNt9thrpSIfx+0+fxUlaajBtKgb/y5wTESMS3od8GXghEYri4jVwGqA4eHhGM37DOO6nVxq4zOQy+UyueMrgOoXJm/svbq9zSiXy5RKJUZLpfzLQlPLdUsnP9dmj71Wx1DY47jN56+iVE9tBZbXjB9FUprYKyJ2RMR4OnwbMF/S0s6FaGZmRUkadwMnSDpW0gLgbGBd7QySXiBJ6fBpJLFv73ikZmZzWCGqpyJiQtJFwO3AILAmIjZLuiB9/TrgD4B3SZoAngHOjoj6KiwzM2ujQiQN2FvldFvdtOtqhq8Fru10XGZmtk9RqqfMzKwHOGmYmVlmThpmZpaZk4aZmWXmpGFmZpk5aZiZWWZOGmZmlpmThpmZZeakYWZmmTlpmJlZZk4aZmaWmZOGmZll5qRhZmaZtfQpt5I+RPJo803Apoj4USvXb2Zm3dWSkoakYwAi4gPAx4GfA2+S9JlWrN/MzIqhVdVTt1YHIuLxiPg6UI6Id7Ro/WZmVgCzShqS/lDSh4HnSPpPkgZrXl49u9DMzKxoZtum8S/AIcD5wEeBX5X0NLCN5CdZzcysj8y2eurFwDeB34uI10bEccCrgQ8Cv5NnRZLOlPSApC2SLplhvpdKmpT0B7OK3MzMcpttSeNNwOXAkKQfkPSauif9/8usK0mrtT4JnAFsBe6WtC4i7m8w31XA7bOM28zMmjCrkkZEnB8Rw8DVwA+Bh4BXAd8BHs6xqtOALRHxYETsBm4Czmow358BtwBPzCZuMzNrTqvu0/jTiDilOiLpU8B/z7H8kcCjNeNbgZfVziDpSOCNJNVeL20+VDMza1arksYOSS+JiI0AEbFR0otyLK8G06Ju/BrgfRExKTWavWZl0kpgJcDQ0BDlcjlHKFCqVPYbr+RcPo/x8fHc8RVBJd1HeWPv1e1txvj4OJVKhXLd8ZRFpVRqarlu6eTn2uyx10pFPo7bff5qVdI4D/i8pPuBjcDJwJ4cy28FlteMH0XSA6vWMHBTmjCWAq+TNBERX65fWUSsJu3yOzw8HKOjozlCAep2cinv8rneqkzu+Aqg+oXJG3uvbm8zyuUypVKJ0VIp/7LQ1HLd0snPtdljr9UxFPY4bvP5qyU396WPC/kt4DZgCPg+8Locq7gbOEHSsZIWAGcD6+re49iIKEVECfgn4N2NEoaZmbVPy549FRGTwD+mf3mXnZB0EUmvqEFgTURslnRB+vp1rYrTzMya19IHFs5GRNxGUlKpndYwWUTEn3QiJjMz258fjW5mZpk5aZiZWWZOGmZmlpmThpmZZeakYWZmmTlpmJlZZk4aZmaWmZOGmZll5qRhZmaZOWmYmVlmThpmZpaZk4aZmWXmpGFmZpk5aZiZWWZOGmZmlpmThpmZZeakYWZmmTlpmJlZZk4aZmaWWWGShqQzJT0gaYukSxq8fpak70naJGmDpP/cjTjNzOayed0OAEDSIPBJ4AxgK3C3pHURcX/NbOuBdRERkl4M3Az8WuejNTObu4pS0jgN2BIRD0bEbuAm4KzaGSJiPCIiHV0EBGZm1lGFKGkARwKP1oxvBV5WP5OkNwJXAocD/2W6lUlaCawEGBoaolwu5wqmVKnsN17JuXwe4+PjueMrgkq6j/LG3qvb24zx8XEqlQrluuMpi0qp1NRy3dLJz7XZY6+Vinwct/v8VZSkoQbTDihJRMStwK2Sfhu4HHh1o5VFxGpgNcDw8HCMjo7mi6ZuJ5fyLp/rrcrkjq8Aql+YvLH36vY2o1wuUyqVGC2V8i8LTS3XLZ38XJs99lodQ2GP4zafv4pSPbUVWF4zfhSwbbqZI+LbwAslLW13YGZmtk9RksbdwAmSjpW0ADgbWFc7g6TjJSkdPhVYAGzveKRmZnNYIaqnImJC0kXA7cAgsCYiNku6IH39OuBNwDmS9gDPAG+paRg3M7MOKETSAIiI24Db6qZdVzN8FXBVp+MyM7N9ilI9ZWZmPcBJw8zMMnPSMDOzzJw0zMwsMycNMzPLrDC9p6x7xsaSm0irN45mGb7zTiiV8i+7efNixsYOnD4y0lwcRR5eu/Zopl4IY1ub2L8TMDavONvS7OfaquHa4+PR9IFDV1657zXrHCeNOW5sDE4/HXbvhsFBkGBi4uDDu3cn/9euzTZ/dThiBVNT+09fsACuuQYuvjh/HEUe3rPnWDga1l6Rf9nd74fRK4qzLc18rq0arj8+IpLXIHlt/Xonjk5y0pjjyuXkizg5CVNTybSIbMMR+77E2ZfVAdN374Zbbmk+juIOC6aa2UcQU7BnT7fjn93n2qrh+uOj1u7dyTHspNE5Thpz3OhocrXWbElj/vy8V6TB1JQOuJJ805uSKq/+KmlMwcAA8xc0UdIYSPZtUbalmc+1lSWN2uOjvqRRrcqyznDSmONGRpLifd665ssuS9o0zj8/37Lf/e4mduw4tWGd9cknd79uvpXDa9ZUmPqT4zj/1U3s3wn42zOKsy3Nfq6tGq49PrZsSV47/ni3aXSD+v3xTcPDw7Fhw4Z8C61aNfN4C5XLBX7E8gxWpftkVc5906vb24xyuUx5dJRVTSy7Kv3rFZ38XJs99lqp0MdxC85fkjZGxHCj19zl1szMMuv7koakJ4GHux3HDJYCT3U7iA6aS9vrbe1f/b69x0TEYY1e6PukUXSSNkxXDOxHc2l7va39a65tby1XT5mZWWZOGmZmlpmTRvet7nYAHTaXttfb2r/m2vbu5TYNMzPLzCUNMzPLzEmjSyS9WdJmSVOShuteu1TSFkkPSHpNt2JsB0mrJP1E0qb073XdjqnVJJ2ZfnZbJF3S7XjaTVJF0r3p55nzTtpik7RG0hOS7quZ9nxJd0j6Ufr/ed2MsdOcNLrnPuD3gW/XTpR0InA2cBJwJvApSYOdD6+tPhYRK9K/27odTCuln9UngdcCJwJvTT/Tfveq9PPst26onyP5Hta6BFgfEScA69PxOcNJo0si4vsR8UCDl84CboqIXRHxELAFOK2z0dksnAZsiYgHI2I3cBPJZ2o9KCK+Dfy0bvJZwA3p8A3AGzoZU7c5aRTPkcCjNeNb02n95CJJ30uL/v1WtJ8Ln1+9AL4haaOkld0OpgOGIuIxgPT/4V2Op6P8lNs2kvRN4AUNXvrriPjKdIs1mNZTXdxm2m7g08DlJNt0OXA1cF7nomu7nv/8mvDyiNgm6XDgDkk/SK/QrQ85abRRRLy6icW2Astrxo8CtrUmos7Iut2SPgN8tc3hdFrPf355RcS29P8Tkm4lqaLr56TxuKQjIuIxSUcAT3Q7oE5y9VTxrAPOlrRQ0rHACcB3uhxTy6Rfsqo3knQI6Cd3AydIOlbSApJODeu6HFPbSFok6TnVYeB36b/PtN464Nx0+FxgulqDvuSSRpdIeiPwCeAw4P9J2hQRr4mIzZJuBu4HJoALI2JypnX1mI9IWkFSZVMB3tnVaFosIiYkXQTcDgwCayJic5fDaqch4FYlP6U3D/hCRHy9uyG1jqQvAqPAUklbgQ8CHwZulvR24BHgzd2LsPN8R7iZmWXm6ikzM8vMScPMzDJz0jAzs8ycNMzMLDMnDTMzy8xJw8zMMnPSMDOzzJw0zMwss/8PVS2TtC4QgHUAAAAASUVORK5CYII=\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "correlation.plot_times()" ] @@ -793,42 +261,9 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/juan/Desktop/Doctorado/work/0235+164/MUTIS/mutis/signal.py:262: RuntimeWarning: invalid value encountered in double_scalars\n", - " return (ll * mu) ** (1 + ll) / scipy_special.gamma(1 + ll) * np.exp(-ll * mu / xx) / xx ** (ll + 2)\n", - "/Users/juan/Desktop/Doctorado/work/0235+164/MUTIS/mutis/signal.py:262: RuntimeWarning: divide by zero encountered in true_divide\n", - " return (ll * mu) ** (1 + ll) / scipy_special.gamma(1 + ll) * np.exp(-ll * mu / xx) / xx ** (ll + 2)\n", - "/Users/juan/Desktop/Doctorado/work/0235+164/MUTIS/mutis/signal.py:262: RuntimeWarning: invalid value encountered in true_divide\n", - " return (ll * mu) ** (1 + ll) / scipy_special.gamma(1 + ll) * np.exp(-ll * mu / xx) / xx ** (ll + 2)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 18.7 s, sys: 114 ms, total: 18.8 s\n", - "Wall time: 18.8 s\n" - ] - } - ], + "outputs": [], "source": [ "%%time\n", "fits = sig2.OU_fit()" @@ -836,25 +271,9 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'sigma_est': 5.9477164593388965,\n", - " 'curve_fit': (array([1.00758579, 0.12887562]),\n", - " array([0.17348046, 0.01219202])),\n", - " 'MLE_fit': (0.5523802491183334, 0.14125117915448523),\n", - " 'th_est1': 9.770317097497758,\n", - " 'th_est2': 17.821840424447338}" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "fits" ] @@ -868,34 +287,9 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'ax1': ,\n", - " 'ax2': ,\n", - " 'ax3': }" - ] - }, - "execution_count": 14, - "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" - } - ], + "outputs": [], "source": [ "#%matplotlib inline\n", "sig2.OU_check_gen(17, 1, 6)" @@ -910,7 +304,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -926,18 +320,9 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 1min 13s, sys: 327 ms, total: 1min 14s\n", - "Wall time: 1min 14s\n" - ] - } - ], + "outputs": [], "source": [ "%%time\n", "correlation.gen_synth(400)" @@ -952,18 +337,9 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 18.3 s, sys: 163 ms, total: 18.5 s\n", - "Wall time: 18.5 s\n" - ] - } - ], + "outputs": [], "source": [ "%%time\n", "correlation.gen_corr();" @@ -971,32 +347,9 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "correlation.plot_corr()" ] diff --git a/docs/recipes/sin_tests.ipynb b/docs/recipes/sin_tests.ipynb index e216056..597b379 100644 --- a/docs/recipes/sin_tests.ipynb +++ b/docs/recipes/sin_tests.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "willing-withdrawal", "metadata": {}, "outputs": [], @@ -23,7 +23,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "serious-rugby", "metadata": {}, "outputs": [], @@ -54,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "formed-cement", "metadata": {}, "outputs": [], @@ -71,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "forward-cooperation", "metadata": {}, "outputs": [], @@ -88,23 +88,10 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "regulated-wrestling", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.figure()\n", "plt.plot(t1_o,s1_o,'r-', lw=0.5, alpha=0.5, label='sig 1')\n", @@ -125,7 +112,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "recorded-mozambique", "metadata": {}, "outputs": [], @@ -137,23 +124,10 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "armed-gravity", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "corr_o.gen_times(dtmin=0.1, dtmax=3, nbinsmin=3)\n", "corr_o.plot_times(rug=True)" @@ -161,23 +135,10 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "metric-timer", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
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\n", 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nToi8955IZKQIiMXsIo/UWyRmU5aAiFIit98usmKFSFLS5cVbuVLE3V3EbDbWK1deOJaYmCivvvqqhISECCANGzaU5OTkIp1bGGvWiERFXbr/999/F0Buv/122bNnzyXHC3xORWTNmjVy++23i9lsFrPZLIMHD5a9e/cWXagikL5qlYiLi0i/fkV+F3LqoLzPz86dIh4ektK+vdSsUUMaNGggiYmJcvz4cfEzmSTDbBYZPbpoguWu2y5TvwHrJZ861eGVekkWrQgK59SpU9K0aVOZOHFiTkUpFovIc88Zf3vr1iL79uWUv+QFS0kRGTvWKNu0qVFhloBJk0ReeKHY+kOWLl0qoaGhYjKZ5IknnpCUy1SaIiKHDh0SHx8feeSRR+TMmTP5llm5UuSVV4pXYYmUUhHk5uRJkXfeEWnUyPhd/fxExo0TiYm5pOjEvDvS00V++EFkwAARJyfj/MhIkfffFzlxolSVcn6/y08//STu7u4CyNVXXy2LFy+WrHz+xJL+phaLSEbGpfvPnDkjzzzzjHh4eIiTk5OMGjVKjh07lnO8IEWQmJgoLi4u4uvrK0888YQcOnSoeAIVg/R33hEBSXr22SKVz1cRJCeLNGsmEhAgS2fMkODgYInJ9Rzccsst8q2Li1irVxdJSyv8JloRXJ6qqggsFovce++9AlzUahYRkZ9+EqlWzVgWLRKRPC/Ypk1G5Q8ijzxSYMs1IyNDXnnlFbnrrrtkzpw5cvr0adu9jcr/v/9KJvvzzz8vgDRp0kRWr15dpHNOnTolo0aNEqWU1KxZU7788suLv3MpsJsiyMZqFfnzT5HbbrtQqV99tciCBTm148Tschs2GArZ398oV7OmyPjxIlu3XnLZklbKIiJZWVmyZMkSWbFihYiIxMfHy4gRI2RrPvexFz/+aHTE8iMuLk5GjRolTk5OEh4eLhaLRUQuPKdJSUny3nvvyd13351zzq+//ipJhXWBioHVapVpR4/K//btk6xcz9KunTvlW7NZLEpJlu33uhz5KoL77jO6br/+KiJyUU9LRGT58uXS27DYicyfX7iwWhFcnqqqCESMl3v06NECyIMPPnhxi27/fpE2bYxHYMIEmfjcczLx+edFXn/dMAMFB+c8pAXx559/CiDVq1cXQJycnKR794HSvXuqXHWVYRYqrrwixkvw1FNPSWpqanG/sqxfv17at28vgPTo0UMy8mt2FhO7K4LcHDsm8vLLInXrGv9FUJDIs8/KxP/+E2nRwtjn4iIyaJDIzz+LZGba9fZWq1W++eYbadSokQDSv39/u17/ctxzj0g+Fr+L2LNnjyxdulRERDIzM+X666+Xzp07i6+vrwDSuXNnu1b+2aRaLHLvrl3CX38Jf/0lj+cxMc18913ZA5Lk42OY6i7DJYpg9mwRkCVt28pXX32V7zlWq1VaNW8ux5ydxdqvX+ECl1IR6OijVzAmk4kPPviAp556ik8++YTJkydfOBgebriEDB9ujA5+9ZUxCPzkk3DDDcZg2LXXXnJNi8XCP//8A0DPnj3ZsGEDiYmJrFy5knHjxrFx41N06ODMsmXw449Tefnll9m5c6fR6iiA06dPc++99/Lkk08C0L17d6ZMmYKbm1uxv3Pbtm1ZtWoV06ZNo3379jjbvJAyst0OKxpBQYZv6L598NNPhq/+yy8bPq0eHjB1quEGOn++4WfqZD+P7y1bttCjRw9uv/12XFxc+Oqrr5g/f77drl8YkZHGWOjlaNCgAddddx0AS5cu5eeff2blypVcd911rFq1iv/++w/vInhjFYfYtDS6bd7MrOPHmVi3Lg/VqsWbR44w9ejRnDJDx47ls2uuwSUpiTM33VTwJLu87NwJo0ZxODycGzdsyPH+y4tSijGPPMKXYExyyZuT2N7kpx0q+qJ7BMXDarXKhx9+eJGt9SI+/1wmms0y0dlZZMYMwySRD9u2bZO2bduKk5OT7N9vtG5WrjQatBMmiKSmiuQen77jjjsEwyVeIiIi5IknnpA1a9ZcdM1FixZJcHCwmM1mef755+3yffOydu1aCQkJka+//rpE5qIy7RHkx5EjMvHkyTK/zdSpU8Xf318+/fTTHNNLebJihUjHjsU7Z+TIkfLoo4+WjUA2DqSkSL1Vq+RHW0s/MytLbti6VUx//SWLc7X+T58+Lc/4+YmAZL36aoHXy6mD/hcj0rSppPr4SDDI4MGDL/s8pqamytl164xe4WuvXV5o3SPQFIZSitGjRxMUFITFYuG1114jNTX1QoH77oOHHjLinAwbdonfssViYcqUKbRt25ZDhw7x9ddfEx4enuPz/swzMMXm8+7peeG8uXPncvToUT7++GPCw8N55513ePvttwGwWq3cfvvt3HTTTQQEBLB27dqLeyx2xNnZmcDAQO644w5atmzJ7NmzK24PAYzZsvaY/JeHzMxM3n33Xb788ksARowYwZ49exg5cmSJ3SpLQ7t2xjSX4hAcHIyvr6/dZRERFiUmYhUhzN2d6Pbt6W9zD3UymZjXtCltvLy4fedO9tvenWrVqnHzr79yrk8fTM8+a8QmuRy//ILs2sWtqamEderEzJkzLzsx1M3NDZ+oKKRzZ2TGDLvFTsoPrQiqGH///Tf/+9//uP766zl37tyFA35++QZvy8rKokePHvzvf//jxhtvZMeOHQwcOBAwwidkB1ZTyrAm5aVWrVo8+OCD/PrrryQmJvL6668DsHfvXr7//nsmTpzIunXriCxgops9aN26NWvXrmX27Nkopbj33ntp27btZc1VVxpLly6lZcuWPPbYY/z2228AODk5US33rPByxt3dmHJhm/fmUH47fZr+27fzTUICAM55Jpp5ms0sbtGCl8LDCc9lsmwbFYX3vHlIWBiZAwcac27yY/MW2LyJ/3r0YFdICAsXLiyS6TMzM5NX4uJQMTGwdm3Jv2AhaEVQxejVqxdffPEFf//9N9deey1nzpzJt1x2JWk2m7n55pv5+uuvWbBgAYGBgTllevQw5lyZTMa6sMmWvr6+ORO/6tatS3x8PJMmTcKlCDGBSovZbOaee+5hy5Yt/PrrrzzxxBMopbBarbz44os5YQeuNPbu3csNN9xA3759sVgsLF68mC+++MLRYuXw/POwxIHTSS022/611avzXbNm3J7r+c5LsKsrj4WGopRib0oKZ7JDdfj6MrNPH6zx8Zy/5ZZLxwsSTsDPP0PdMLr+/jubNm0iICCgSPI5OzsT3bIlKUDmZ5+V5CsWCa0IqiB33303CxYsYMOGDfTs2ZMTJ05cdHz37t107dqVpUuXAjB+/PgLM5Vz0amTEXf/pZeKH2/f1dUVvzIwfxSGUoprr72We+65BzAGTF944QXq16/P4MGDKWroksrC3r17+fvvv3njjTfYsWMHN9xww+XjVJUzRRkwLiv+On2axmvXEp2cjFKKWwICMBXht0nJyuKqzZt5YPfunH19JkzgOU9PvP75h8xXXrlQODkZFiwgXYT4rl3BbC62aWvE+PF8B1jnzjVio5cBWhFUUW6++WYWLVrE0aNHOXToEGD0At59911atWrFrl27Lh5HKID334eOHStv0pU2bdpw4MABxo8fzy+//EK7du3o0aMHcWXtpVFGWK1WZsyYwRtvvAFAnz59OHToEI8//ni59LyKS5s2sGlT+d5TRHj3yBF6b9mCs8lUpMo/Nx5mMx9ERPByrtCztWrVosc33zAfMD3/fM54gYwZgySeYH6WhbikpBLJ261bN/6pVw/X1FTkhx9KdI3C0IqgjPksLo4btm7lpYMH+ePUKc5eLqFMOdOnTx8OHDhAVFQUycnJTJ8+nccee4xrrrmGHTt2cPPNNxd6jd27ixRLrUITEhLC66+/zpEjR3jrrbewWq05JrDNmzdjqUD/2eXYsGED7du35/777+eXX37BajNRXBSUr4LRrp3hq1BepGRlcU90NI/t28eN/v6siYykYQlyWNwaEEADDw9EhOWnTwPQ7/rr2fzQQxwQIXXAAHjrLdSsWfwN1OrSlTaRbQq8noiwMDGRDhs2kJjHkUEpRcf//Y9DwOl33im2rEWhvMJQV1myRDiQlsbPthExBTT18KCjj0/O0sTTE7ODuuueNjefnTt3cvLkSWbPns2QIUOKbD44ftxwhb8S8PHxYdy4cYyzhf5NT0+nT58+3HruVtz69OH03r3Enovl6quvpl+/fogIK1asoEaNGvj7+1OjRg2HtLpFhKlTpzJu3Dhq1KjBV199xZ133lmhTEAFUb26EcQ2O8dEWXIwNZVbduxg8/nzvBQezv/q1Cl2byAvnx87xojdu5nduDH3BAUx8e23Gb9pE++vWwePP85fwInGTbj16oKzm61LSuLxffv4++xZGnt4cDQjA18nJ1KtVnxs80buuOsuYhYvps7ixUbuCDtnH9Q9gjLmwdq12dG+Pae7dOG3li2ZFBZGHTc3vk9MZMTu3bRYv57w1atzBme3nz9/SYugPGjcuDEPP/ww99xzT5ErEBEICzOSk12JuLi4MHfuXOrWrUt6ejoHDx7kk08+YcWKFQAkJSXRs2dPWrZsSa1atXB1dcXHx4e33noLMCbKffDBB2Xeo9izZw+PPfYYvXv3Ztu2bdx1112VQglkM3gwLFpUtvdYceYMURs2sD81lcUtWvBM3bqlVgIA9wQF0ataNYbHxPDn6dO4urry4cqVmD77jL3Vq/NG69b0v+XmfP+PQ2lp3LVzJ+03biQ6JYWPIyLYFhVFc09Pum7axKhcYxDu7u60fvttVECAke/DzugeQTlRzdmZ3n5+9LYNkIoIe1JTWZ2UxGmLJedBuWvXLoJdXFjaqhUAh9PSqFOCGbbFpSSzM5UyMmuVJ2uTkpgWF8dr9etT4zK5C+yBUopevXoRfls4K4DuUW15b9J7OSYXd3d3li1bxsmTJ0lMTMxZN2/eHDCSt4wdO5ZZs2Yxbdo02to5nPCxY8cIDg6mYcOGrFy5ksjIyCLH13ckVhG2JyfT1MMDJ5OJFi2MAWObV7LdOZGRwS3btxPo4sKi5s2JsGOyaBeTie+aNaPLpk3csn07KyMjaerpCffeS9jdd/NVUhJn3z970TlnLRZeOXSI92JjUUrxTJ06PFmnTk7rH+CumjUJteVSyKF+fWOGcRnM+dCKwEEopWjo4XGJffLDiIicRM7xGRnUW72all5eDKlZkztr1qRmBRrwO3DAiEpRXjl+vk1IYEh0NGlWK2csFhY0a+aQlm92Zevi4kKvyyQ0b9asGd988w2PPPII7du3Z+zYsbz44ot4FZpe7PKICNOnT2fs2LHMmzeP/v37ExV1Sa6RCkdKVhYeZjNJFgttN2zgydBQXq5XjzZtjEgaZcVfZ86QarXyXbNmdlUC2VRzdmZJy5Z03LiRflu3sjoykiBXV5ycnPDz8+MsFxTBwsRE7o+O5pTFwj01a/JSeDgh+TT0xoaE5H+zMpr4Z5fmg1Kqj1IqRim1Vyn1dD7Hn1BKbbYt25VSWUopP9uxg0qpbbZjV5bvXgnoVq0aXW2TfNxNJt5t0AAnpRi3bx+1V66k39atzIuPJzUry7GCAnv2lE+PQER4/fBhBu3cSRsvL54KDeW7xES+iI8v+5uXAqUUt912G7t27eKBBx7gvffe46abbirVNc+fP8+QIUMYOXIk3bp1o1MFd9c6lZnJx0eP0mnjRq7esgUwKs7/1anDEzY7d7t2YOsAlwm3BQZyqGNHo6VeRtR1c+OnFi04kZnJDdu2kZz7/RSwWA3Tb4irK228vdnQti2zmjTJVwnkZsqhQzy1b1+ZyZ1NqXsESikz8BHQGyNJ/Tql1CIR2ZldRkTeAN6wlb8ReExEcs8n7CkiBUzJq7r4ODkxJiSEMSEhRCcn82V8PF/Gx3PHrl34mM0MDAjgnqAguvn62sXeWVyOHSv7geJMq5XRe/bw2bFj3B4QwMzGjXExmViVlMTDe/bQq1o1QsvBdFYaqlWrxtSpUxkyZAhZtgoiJSWF06dPU7t27SJfJ3tW9+7du3nhhReYMGGCQ0JDFEaG1covp07xxfHjLD55kkwRmnt6MrRmTawimJTiBZvrZYbVil9NeO01+5u00q1W1iQlcVW1agSUQ0+6rbc33zRtSv/t27lj505+aN4cBXwVH4+3k5n+/v609fbm92Jovdj0dKbGxXFLQAAd8pn5by/s8eu3B/aKyH4RyQDmAf0vU/4O4Gs73LdK0djTk5fr1eNgx4781aoVtwYEMP/ECa7ZsoWTthmOKeXcSygPj6FTFgtLT51iQp06zG3aFHezGbNSfNGkCZPDwqid145agenUqRNdu3YF4OWXX6ZJkyZ88MEHOcqhMNatW8fp06f5448/eO655yqUEhAR1tmUc62VKxmwfTv/nj3LmNq12dS2LVujong8j5dOSlYW7TdsYOKBA4wbZ+RgtiefxMXRffNmtpw/b98LX4Yb/P35ICKCxSdPMvHAAUxKEe7mdqm9v4i8Uq8etV1dGR4TQ0ZRI5yWAHuMEdQGjuT6HAt0yK+gUsoDI4H9mFy7BfhNKSXApyIyrYBzRwIjgQv5aasgJqXoUb06PapX58OICNYmJeW0dvpu3UptV1fmNm1aLrI89hhkz7K3N3Hp6dR0caGmiwtbo6KolmdguK6bG4/ZTAtpWVm4VaBKsSjcf//9rF+/nrFjx/LVV1/x6aef0rp160vKpaSksGHDBrp168a9997LgAEDHBofKC8iglKKhYmJ3LxjB65KMcDfn3uCguhdvfolMXty42E2E+XtzZtHjnA3IaxZ44ot4rRdGBkcTKCzM61KOSZTXB6qXZsMq5VbbWEkulQreZA8HycnPo6I4Mbt23n98GGezZXv3J7Yo0eQn02ioGheNwL/5TELdRGRSKAvMFopdVV+J4rINBGJEpGoosbpuNLxMJvpYZssJCIM8Pfn2nKcPLRyJZw9W3i54nIiI4PI9euZsH8/wCVKIDerzp4lfM0a1pdw1qajqFevHkuXLmXu3LkcPHiQqKgoPv3004vKREdH06FDB/r27UuiLZiZo5VAdqs0w2qlxbp1vHHEaANe6+fHtIYNOd65M/OaNaNfjRqXVQLZvFm/PjVdXPjL/wjrN9gnCKCIkJqVhbvZzB01a9rlmsXl0dBQu5ksb/D357aAAF48dIjo5GS7XDMv9lAEsUDu2Q0hQEHz8weTxywkInG2dQLwA4apSVNMlFI8FhrKvcHBAHyTkMC5MvZfnzy5TFyaCXBxYVxoKMOKYHdq7OFBB2/vi1zvKgtKKe644w6io6MZPnx4jtkoIyODbdu2ERUVxfHjx/n+++/xt4VELm+Op6fzTUICD+3eTdO1a+m/fTtguE128/Ul2NYb9TCbGVGr1mWVdn5Uc3bmk4YNOVw3kehz9omj801CAk3XreNgGcXlcQTvR0TgaTYzYvdurGUQNdceb886IEIpFQ4cxajs78xbSCnlC3QH7s61zxMwicg52/a1wAt2kKlKE5OSwp07d9Lf359vmzUrs4Fke44RiAjvxMbSo1o1Ir29ebKI5r/qzs782KKFfYRwENWrV+eTXIH5BwwYwC/t29O1TRvmzZtXrAHl0nIsPZ0VZ86w/MwZVpw9S3RKCgDeZjNdfX3plytQ4NSGDe1yzxv9/bmjTQLfTlzH9vNtaV4KU86ZzEwe3buXUDe3Cu9EUBxqurjwToMGbE9OJlMEVzu/06VWBCJiUUqNAX4FzMAMEdmhlHrQdjz7Cb8Z+E1EcvdtagI/2HzBnYC5IrK0tDJVdRp5ePBm/fqM27ePlw4d4vkysivaSxHk9gx6uHZtIkswuS3JYmFETAz3BAVxfY0apRfKQYgIPXv2JK1DB3579lmcyrGnM3r3bqbagu15m8108/XlvqAgelSrRhsvL5zKcLLaew0asGi6K7cfOsLWIY1LHHJlwoEDnMjMZEnLlg4L21JWDC1Dzwy7PGUisgRYkmffJ3k+zwJm5dm3HyhDD+Kqy6MhIWw6f56JBw/SyssrJ9uSvRAxskuVdkjirMXCoB07+P30aSbUqcOLuSI6FgdXk4ldKSncFx3NtnbtCKxAE++Kg1KKJ554gmTKZ7bn7pQUarq44OvkRB8/P8Ld3OhRrRqty7jiz0uAiwtXJQfxy3/HebdnLONLEEtnTVISn8TFMbaEjYmqTMWfj64pEUopPm3YkHbe3ty9axc77TzIZLEYudRL0+g6mJpK540b+evMGWY0asTL9eqV2IzlajIxp0kTzlosDI+JqVLZx0pKSlYWPTdvZkRMDGCYaB6vU4coH59yVQLZDO7iQa3DNXj2wAGOZKe+KyIWq5UHYmKo5eJS4sZEVUYrgisYd7OZ75s1w9Nkov/27Zy2o6/nhg1wzTUlO3d/aiofHz1Kh40bicvI4NeWLRlmG+QuDS28vJhSrx6LT57ks2PHSn29Kx0Ps5mPIiJ4pYJUnJGRCs+DPkxr2JCQYvrdv3/0KFuSk3k/IgLvSug44Gi0IrjCCXFz4/vmzTmUlsadu3aRZaeWcnFmFSdZLDkt9Kf37aP+mjU8tGcP/s7OrGzThl52dHkdGxLCNdWr89jevey2DXRqLmbJyZMssOXmHWCLq18RaNoUtm4yMSQoCKUUaUWcaHc4LY3nDxzghho1uNlB3lWVHa0IqgCdfX35KCKCpadOMfHAAbtc83IDxVkiOS/xT4mJ+P37L9tspqkbatTggwYNiGnfnu3t2tHEzvFfTEoxq3FjXE0m7t61i8wynI1ZGZkXH0//7dt5Oza2TNwQS4PJBCtWwN69sCgxkXpr1nC4CCaiR/buxQp80KBBpQq/XZHQfagqwohatUjIzLRbiyksDHI75xxKS+O3U6f47fRp/jh9mlfCwxllG7R7qk4dfG3d9a65guqVFbVdXZnWsCGDdu7kxUOHcuLaVHU+jYtj1O7ddPX1ZXGLFg6JT1UYP/4ITZrATSM86ejjU6SW6vDgYG6oUYMwd/eyFu+KRSuCKsQzdesChoviiczMUnnW9O1rzACeeOAo8xIS2G2bvFPbxYVb/P1pYWvp13J15eV69UovfDEZGBjI0JMnefnQIW6oUYP2ZRiwqzLw+uHDPLV/P/38/FjQrBkeFTQkR2SkEdF2rLs739vyOhRGZXYXrihoRVAFeebAAb6Kj2dzVBR+JUjuciA1lf4PpBHT4RAZzc7Qu3p1RtWqxbV+fjTx8Kgw3fP3IyIId3enZRmGH67oiAgTDhxgyuHD3B4QwBdNmuBSgZPXtGkDH3544fORtDTG79vH+w0aEJRnAPmZ/ftxUopJYWEV5pmrrGhFUAUZGBCAq8lEtRJ6V4zZs4ft68K4/vpqvNEugsYVtKL1cXJiom0yXbrVimsFrgDLAqsIo/fs4ZO4OEYGBzO1YcMKP8mqZUv47LMLn1OsVhYlJmIR4btmzXL2iwhxGRm4KKWVgB2oWm+GBoBIb28mhoVhUqpILqXRycn027o1J3bLOw0aEHzemw87hlVYJZCbA6mpNF27lu9PnHC0KOXKyJgYPomL48nQUD6pBEoAjAT2AQFgi7FHIw8PJoeH80NiIt/m+v+UUsxs3NhuYS6qOloRVGH2pqTQaO1aPou7NEZglgjxGRkAeJnNbE9OZo9NEUS4e+DqrHBQYMdiE+LqSqS3d4VK81keDPD3Z0q9erxWv36lajW/8AJ8//2Fz+NDQmjr5cWYPXtIycoiOiWFrbYcA5VBuVUGtCKowoS7uxPp5cXoPXty3PTSsrL4NC6OxmvXctdOI8lciJsbBzp2pLct4JhSsH8/VJaYXs4mEwuaNaOLry9WEV46eDBHyV1pnLNY+PnkScAIX/xUJczdERlpJLPPxslk4vPGjTllsbAwMZEfT5zgiXJI31iV0IqgCmNWiq+bNqWumxvzExJYfuYMYatX8+Du3fiazTxQq1bORLDcLa+jR+GjjxwldenYeO4ckw8dImLNGqYcOlTkSUuVhYkHD3Lr9u0cTU93tCglpk0b2LTp4n2tvLyYUKcOu1NTyRTh/YgIxwh3haIVQRWnurMzC5s3J0OEFWfO0MrLi2WtWrGubVsGBQbma1KIjobvvnOAsHYgyseHHe3a0bNaNf534ABN1q1jfkJCpY5NlJiRwTabqeTF8HCWtmxZqVJ45qV1a7j//kv3P1O3LhHu7lzn50ejCjIb+kpBKwINTT09GR4czIO1avFrq1b0ql79sjbl8shVXJY09PBgYYsW/NGqFT5mM7fv3Em3TZtYV8mynJ3IyODpffsIW72aodHRiAieubLWVVa8vGD48EvToLqYTNxZs2aVnxNSFmhFoAEg0JYfuCgUJ85QRebq6tXZGBXFZw0bsic1lfYbNzJk1y5iixn5srw5kZHBU/v2Eb56Na8fOcKN/v581aRJpRoQLoz77oOvvy68nMY+2EURKKX6KKVilFJ7lVJP53O8h1LqrFJqs215vqjnaioew4bBE084Wgr7YFaK4bVqsadDB56uU4cFCQn8fOpU4Sc6gISMDJ609QDeOHKE/v7+7GjXjq+bNqVpJXDjLQ7Nml08YKwpW0o9oUwpZQY+Anpj5C9ep5RaJCI78xT9R0RuKOG5mgrEsWNQq5ajpbAvPk5OvFqvHg/WqkVtW89obnw8mSJcJYADG9vnLBZeOHSIqUePkma1ckdgIM/WrVsp5nCUlDZt4KefHC1F1cEePYL2wF4R2S8iGcA8oH85nKtxEI8+auQjuBKp6+aWk5Rlbnw8M215DUSMbF7RyclklFNEU4vtPs5KMT8hgVsCAtjZvj1fNW16RSsBMFxIK3kq6kqFPUJM1AaO5PocC3TIp1wnpdQWIA54XER2FONcTQWisg8WF5VFLVpw2mIhaWEsmVYrXyecYPa6E5gx5mA0cnenoYcHjTw8aOjuTiMPD4JdXIptqxcRUq1WkiwWqjk54WY2sy4piZbR0WyOisLNbGZX+/YVNlBcWeDnd3HMIU3ZYg9FkN9Tn9cXbyNQV0TOK6X6AT8CEUU817iJUiOBkQB1KuEkmSuJK2WwuDBMSlHD2ZkkwEmZGB4cxNWNqxGTksLu1FRiUlL488wZUnP1EN6oV4/H69ThREYGHx49yvDgYELd3FiTlMQHsbGczcoiyWLhrMVCUlZWztpic1/9s1Urelavjp+zM/7e3pzPysLPZKpSSiCb55+HqCi46SZHS3LlYw9FEAvkzjQdgtHqz0FEknJtL1FKTVVK+Rfl3FznTQOmAURFRVVep+9Kjgg8++zFuQiqAiZl5DnomkcDWkWITU9nd0oKMampdPX1BSAmJYUXDx2ivY8PoW5unLFYWJ2UhI+TE75OTtR1c8PXyQkfs9lYOznhazYTYYupX9/dnUlNmpT796xIODvDypVaEZQH9lAE64AIpVQ4cBQYDNyZu4BSKgiIFxFRSrXHGJs4CZwp7FxNxeOxxxwtQcXBpBR13Nyo4+ZG7hTOXatVI/Wqq3IG4a7z82Nvx46OELHS0qYNvP++o6WoGpR6sFhELMAY4FdgFzBfRHYopR5USj1oKzYQ2G4bI3gfGCwG+Z5bWpk0Zcf69dC1q6OlqBy4mkw4V7HQ1/YkMhIq+JSOKwa75CMQkSXAkjz7Psm1/SGQ79BPfudqKi7Hj0MZZ5rUaADDRfnvvx0tRdVAN1c0xaKqeAxpKgYzZxrjBJqyRSsCTbGoVg20qVtTXuzdC7/95mgprnx0qkpNsRg0yNESaKoSbdrAF184WoorH90j0BSLF16AdescLYWmqhAZCZs3O1qKKx+tCDTFYulSuEKTe2kqIOHhsFNHHitztCLQFIuqMqtYUzFQyohrFRPjaEmubLQi0BQZEThxgkqTtF5zZbBoEfzwg6OluLLRikBTZJSCs2eNDFIaTXmRN5m9xv5oRaApMidOVN5cxZrKi1YEZY9WBJois2OHDg2sKX8aNoQZMxwtxZWNVgSaIqNnFWscgdkM9eoZPVJN2aAnlGmKzPHjEBzsaCk0VZEpU6BBA0dLceWiFYGmyAwYAOnpjpZCUxVp0wZWrDB6Bhr7o01DmiLj4gI6OZzGEURGwqZNjpbiykUrAk2RGTbMaJVpNOVNs2YwfLijpbhy0YpAU2T0YLHGUbi4wNixkCs9tMaO2EURKKX6KKVilFJ7lVJP53P8LqXUVtuyUinVKtexg0qpbUqpzUqp9faQR1M2aEWgcSQPP6znE5QVpR4sVkqZgY+A3hjJ6NcppRaJSO5QUQeA7iJyWinVFyMJfYdcx3uKSGJpZdGUHSJwzz3g7+9oSTRVlSZNYNUqR0txZWKPHkF7YK+I7BeRDGAe0D93ARFZKSKnbR9XAyF2uK+mHFEK3ngDnLSfmcZBREYaQQ819sceiqA2cCTX51jbvoK4H/gl12cBflNKbVBKjSzoJKXUSKXUeqXU+hN6Zkm5s3Ur3Hyzo6XQVGVatgRPT/jnH90zsDf2UAQqn32Sb0GlemIogqdy7e4iIpFAX2C0Uuqq/M4VkWkiEiUiUQEBAaWVWVNMYmMhLc3RUmiqMlu3wsGD8NdfcPXVWhnYE3soglggNNfnECAubyGlVEtgOtBfRE5m7xeRONs6AfgBw9SkqWDogWKNo1m+HCwWY7wqI8P4rLEP9lAE64AIpVS4UsoFGAwsyl1AKVUH+B4YIiK7c+33VEp5Z28D1wLb7SCTxs4oBU2bOloKTVWmRw/jOQTDnbRHD0dKc2VR6qE/EbEopcYAvwJmYIaI7FBKPWg7/gnwPFADmKqMf9IiIlFATeAH2z4nYK6ILC2tTBr7M2yYoyXQVHU6dYIuXWDvXvj+e+Ozxj7YxQdERJYAS/Ls+yTX9nDgknmBIrIfaJV3v6biMXUqdOsGLVo4WhJNVaZ+fTh9WisBe6OdATVF4uuvoXlzR0uhqeqEhRmLxr7oEBOaIqEHizUVheXLtQebvdGKQFMktCLQVBSy3Ug19kMrAk2RiIkBb29HS6HRQPXqsH+/o6W4stCKQFMoZ87A7t0XXPc0GkeiFYH90YpAUyjbt8MzzzhaCo3GoEcPGDLE0VJcWWhFoCkUPT6gqUg4OUF0tKOluLLQikBTKFoRaCoSp0/DiBGOluLKQs8j0BRK9+7QXkeA0lQQsscIRPS4lb3QikBTKBER4OrqaCk0GgM3N2NJTAQdiNg+aNOQplBuvRV+/tnRUmg0F/joI3B2drQUVw66R6AplGPH9BiBpmJx222QmeloKa4cdI9AUyh6sFhT0Xj2WSN1qsY+aEWgKZRevaBmTUdLodFcICxMTyqzJ1oRaArlq6+0PVZTsahXD/btc7QUVw5aEWguS0yM9tnWVDwaN4bISEdLceVgF0WglOqjlIpRSu1VSj2dz3GllHrfdnyrUiqyqOdqHMvBgzrSo6biUbs2vP22o6W4cii1IlBKmYGPgL5AU+AOpVTe7LZ9gQjbMhL4uBjnahzI8eMQHOxoKTSaS7n7bj1OYC/s0SNoD+wVkf0ikgHMA/rnKdMf+EIMVgPVlFLBRTxX40DOnYPQUEdLodFcSnw87NnjaCmuDOwxj6A2cCTX51igQxHK1C7iuQAopUZi9CaoU6dO6STWFJkxYxwtgUaTP/Xq6R6BvbBHjyC/aB9SxDJFOdfYKTJNRKJEJCpAzysvN+bP160uTcWkcWMjV4am9NhDEcQCuY0HIUBcEcsU5VyNA5k6FWJjHS2FRnMpjz0G//ufo6W4MrCHIlgHRCilwpVSLsBgYFGeMouAe2zeQx2BsyJyrIjnahyInlWsqaicPAnvvONoKa4MSq0IRMQCjAF+BXYB80Vkh1LqQaXUg7ZiS4D9wF7gM+Chy51bWpk09kPHGdJUVEwmmDTJCEetKR12CTonIkswKvvc+z7JtS3A6KKeq6k4/P47VKvmaCk0mkupXt1QBqdOQY0ajpamcqNnFmsKJCUFvLx08g9NxUV7DtkHrQg0BbJlCwwb5mgpNJqC+fZbaN7c0VJUfrQi0BSInlWsqeg4O8Phw46WovKjFYGmQPRAsaai8/PP8Oabjpai8qMVgaZA2rSBgQMdLYVGUzA6HLV90KkqNQXSqZOjJdBoLo8eLLYPukegKZDBg+G33xwthUZTMHXq6NnF9kArAk2B7N8Pvr6OlkKjKRhnZyNxUlaWoyWp3GhFoCkQHV5CUxno2xeWLXO0FJUbrQg0BRIRoZPWayo+derocYLSogeLNQWiW1maykC9enDggKOlqNzoHoEmXw4e1INwmspBhw5Gr0BTcnSPQJMv+/bBmjWOlkKjKZxevYxFU3J0j0CTL3pWsaaykJICffo4WorKjVYEmnzRHkOayoK7O6xaBadPO1qSyos2DWnyZdw4yMhwtBQaTeEodWGGcdu2jpamclKqHoFSyk8p9btSao9tXT2fMqFKqb+UUruUUjuUUo/kOjZJKXVUKbXZtvQrjTwa+/HXX3DihKOl0GiKRtOmEB/vaCkqL6U1DT0NLBORCGCZ7XNeLMB4EWkCdARGK6Wa5jr+joi0ti06U1kF4ZVXIDra0VJoNEVjzhzop5uRJaa0iqA/MNu2PRsYkLeAiBwTkY227XMYuYlrl/K+mjJGjxFoKhPbtxtJajQlo7SKoKaIHAOjwgcCL1dYKRUGtAFyOyaOUUptVUrNyM+0lOvckUqp9Uqp9Se0zaLM0UlpNJWJo0fh008dLUXlpVBFoJT6Qym1PZ+lf3FupJTyAr4DHhWRJNvuj4H6QGvgGPBWQeeLyDQRiRKRqICAgOLcWlMCPv8c/PwcLYVGUzR0OOrSUajXkIhcU9AxpVS8UipYRI4ppYKBhALKOWMogTki8n2ua8fnKvMZ8FNxhNeUDRkZ0LUrmLRzsaaSULcuxMaCxQJO2hey2JT2VV8EDLVtDwUW5i2glFLA58AuEXk7z7Hcxoebge2llEdjBzZvNiI6ajSVBRcX2LjRcCXVFJ/SKoIpQG+l1B6gt+0zSqlaSqlsD6AuwBCgVz5uoq8rpbYppbYCPYHHSimPxg7ogWJNZcRshsRER0tROSlVJ0pETgJX57M/Duhn2/4XyFdPi8iQ0txfUzZoRaCpjLz+upFedcQIR0tS+dDWNM0lhIfrgWJN5UMPGJccrQg0l9C7t6Ml0GiKT/368OOPjpaicqL9QjSXMGYMLF/uaCk0muLRuTMMHuxoKSonWhFoLmHDBiMpuEZTmahbF266ydFSVE60ItBcgp5VrKmMiEBgIJw542hJKh9aEWguwcNDJ63XVD6UgpAQnb+4JGhFoLmEHTvA09PRUmg0xUd7DpUMrQg0FxEXB2+/XXg5jaYicu21uhFTErQi0FzE7t2w8JJAIRpN5WDUKJ2/uCRoRaC5CD2rWFOZ2bIFHtOBaoqNVgSai9CKQFOZcXODn3QM42KjZxZrLmLYMEhPd7QUGk3JqFsXDh+GrCwjCJ2maOgegeYiDhzQoXw1lRc3NwgL04nsi4tWBJqLeOopY2axxnEkZGSQZLE4WoxKS3Q01KrlaCkqF1oRaC5CjxE4njt37mTG8eNkiThalErJsmWwerWjpahclEoRKKX8lFK/K6X22Nb5Jp9XSh20JaDZrJRaX9zzNeWHVgSO4afEROIzMgB4u0EDbqhRA7NSpFutjNu7lwOpqQ6WsPKwciUsXuxoKSoXpe0RPA0sE5EIYJntc0H0FJHWIhJVwvM15cCkSeDv72gpqg57U1K4YetWbty+nXdjYwFo6eVFA3d3ANYlJTH16FEarl3LyJgYDqWlOVLcSkH9+np2cXEprSLoD8y2bc8GBpTz+Ro7IgIPPqiTf5cHyVlZPLN/P83WrePvs2d5s359JoeFXVKua7Vq7OvYkQdr1WL28eNErFnDQ7t3E6sVQoHoMBPFp7SKoKaIHAOwrQMLKCfAb0qpDUqpkSU4X1MOHDsG7ds7WoorGxFhQUICjdeu5ZXDh7k9MJCY9u0ZHxqKiyn/17G2qysfRESwt0MH7g8OZvqxY9Rfs4aH9+whTvv6XkLr1jBrlqOlqFwU2vZTSv0B5Gc1fqYY9+kiInFKqUDgd6VUtIj8XYzzsSmQkQB16tQpzqmaInL+vDYLlSU7kpN5eM8e/jpzhtZeXsxr2pQuvr5FPj/UzY2PGzbk6Tp1ePnQIT6Ji+OzuDherVePx0JDy1DyyoW7O6SkQFqa4U6qKZxCewQico2INM9nWQjEK6WCAWzrhAKuEWdbJwA/ANntziKdbzt3mohEiUhUQEBAcb6jpoicP68HisuK+IwM2q5fz+bz55kaEcH6tm2LpQRyU9fNjWmNGhHTvj131qxJmK22O2exkGAbcK7q3HuvETdLUzRKaxpaBAy1bQ8FLglXppTyVEp5Z28D1wLbi3q+pvzw8ICuXR0txZWDVYS/bVlSarq4MKtxY3a3b8+o2rUx22HWXj13d2Y0bszNtobR27GxNFu3juPaXER4OOzb52gpKg+lHRacAsxXSt0PHAYGASilagHTRaQfUBP4QRkPvhMwV0SWXu58DaxaZeQN7tEDOnUqn3s2bgz3318+96qMpGZZ+eXkSZKysjhnsRjrrCySLJaL1hPq1qWLry+/nDrFDdu2sb5tW9p6ezO4jLP93OLvj4/ZTE0XlzK9T2VADxgXj1IpAhE5CVydz/44oJ9tez/QqjjnV3VWrYKePcFiARcXY4JMeSiD5cuNiTgdO5b9vSoDB1JTuW3nTl5JcQcPd45nZNBv27ZLynmaTHg7OeFjNuNtNpOSlQVAfTc3vmjcmDZeXuUibwsvL1rY7rUzOZlAZ2f8q6hSuO02R0tQudCOghWQzz67EPgtI8OooMtDEezfD5mZZX+fiojFauWfs2dZmJhIuLs7j4SEUMvVFZ9ckctqubqwqk0bfJyc8Dab8XFywstsLtDM09jTk8YOyJKSlpVF7y1bqO3qyrJWrfCugv7AnTuD1epoKSoPOsREBePECWNWpKurET3RbDZMNuVBVRssPmex8G1CAkN27SJw5Up6bdnCJ3Fx7LPN4nU1mVjWujUNPNxzPnf09aWppyehbm74OjnZxdZvb9zMZj5t2JCN585xy44dpFfBGnHPHmjRwtFSVB6qXlOhgpOQAM88Ax06GD2BhAQYO9YY/GrdumzumZqVxazjxzmdHMC01APcfT6Alp6eqApYyZWWuPR0Fp88ycLERJadPk2GCH5OTtxYowb9/f25tnp1vK6AFvQN/v7MaNyYodHRDNm1i6+bNq2QSqusqF3bGCzW4aiLRuV/4q8gVqwwFECzZsbnbHNQ585GLtbFi43j9kREGBYdzaG0NEKGJvDWyUO8eeoQDd3dGRQQwO2BgTl25yuBiQcPMv3YMeq5uTG6dm36+/vTxccHpwImc1Vm7gkKIjEzk/H79uG3ezcfN2x4RSr3/PDwAD8/Iwe3nmJROFoRVBA2bYKBA2HtWqP1n5tBg4yHuUkT+0+SmXzwIN+cOMFVbn7USPBhQ5fO/JCYyIKEBF49fJi9qanMs2mm6ORkGnl4VLrKxCrCaYuFGs7OPBEayiO1a9PsCu3x5GVcaCgnMjOZcvgwAS4uvJj34bqCue020LH6ioZWBBWA5GS44w54991LlUA22Z48N9wAXbrA00/bJ4GMt5MT9wUFYU33Ztl6CHRx4YFatXigVi0SMjI4b/OA2Z2SQpN165jeqBH3BwdjFUFBpahM3zpyhLdjY1nfti0NPTwcLU6580p4OImZmbx06BABzs6MDQlxtEglZuO5cwQX0RPq3XfLVpYrCa0IKgBLlhgV/V13FV522jTo2xeOHIEPPii5/TNLBLNSjA8NRUS47bwirwUo0MUlJ/hToLMznzRsSF8/PwC+jI/n1UOHGBQYSEcfH9KsVpKzskjOyiLFtp2SlcVL4eE4mUzMOHaMv86c4csmTQB4dM8e9qSm8lWTJlR3di7Zlygi1/n5kZiZSa0q6kqplOLjiAhOZmbyyN699KhWjZaV0NyXlpXF4pMnc2ZSF8a338KpUzByZOFlqzpaETiYc+cM08+ttxatfK1a8M8/Rrd37dqSuZUeTkvj2i1bmNqwIb2qV0cpxZEjkJRkzGHI75rVnJ15IFfap5rOztR2deWVQ4coyCfFRSmeqVsXb5OJxMxM9ufqp9dxc2NqXBwDd+zgl5YtCwy4VhosVitOJhMtvbwqZcVnT5xMJuY2acJPJ09W2t/CzWzmydBQXIv4rKSmGuNuWhEUjlYEDuTgQcPMs3kzFCd8ko8P/PKLYRr66iu47rrina8wQh4EubiQnAyzZ8P69YaHxdVXF20CW58aNehTowYJGRnsT03F02zGw2zG02TCw2zGw2S6aAD2yTp1eDJXsMBxoaH4OzszNDqaUbt3M71RI7uamUSEodHReJjNTKtCg6SXw81sZmCg0cdbn5REhgidSxjvqLyZcewYvatXx93WBd6fmoqTUtS5TO9Azy4uOleeq0QlwWIxTEGPPlq8Sjyb7HotOtpQJkWJq5IlglWEUDc3HtjVmtE3eBIUBG++eWHyTfYEtqIS6OJCR19fWnh5Ud/dnSBXV3ycnIrkhXNPUBDP1a3LjOPHmXL4cNFvWgS+jI9nbkICdVxdtRLIg4jw4O7djN2zB6kE6TDXJCUxPCaGt22JezKtVjps3MiYPXsue169eob7taZwtCJwEO++C56eMH586a7z0kswbhx06wY7d+Zf5sAB+PRTaNI3mRrN0si0WgkMVDz+uJGDYM4cY6xBKSOkRY8epZOpOEwOC+POwEAmHDjAfDu9tbtTUnho926u8vVlQt26drnmlYRSiu+aN2dxixYVXklmWq2MiImhlotLTuIeZ5OJJ0NDWXzyJD+fPFnguUFBsHdvOQlaydGmIQcxYgTccw/YwzT+4IPQsCHUrQt//w1//GG4mNasaQSRe/ll2H46lT1tjnDvMy44m+pzzTUXzu/UyZDl4EFDsZRXkDswKqXPGzXiUFoa9+zaRR1XVzqWwlyRbrUyeOdOXE0m5jRpUqUmURWHujaTisVqZdLBgzwcElIhg9W9ceQI25KTWdi8OT65Jvo9EhLC58eO8ciePVxdrRpu+XhNKAVffmnE7arEjlLlgu4RlDOnTsGAAUYIiUA75mPr1Qu2bDEe+hdfhOeeu9AauvuN02wYu5ZrB2fwWZf8/VNDQ41eRXkqgWzczGZ+bN6cEFdXbtq+vVSJ2ifs38+m8+f5vFEjQnRWkkKJSU3l7dhYrtuyhR3JyY4W5yL2pKTwwsGDDAwI4KY8GZNcTCY+iIhgX1pajskoP775BjZsKGtJKz9aEZQjIjB8uDFXoCzqqBUrLowdKGUMKu9JSeHWHTuIcHdnfrNmFXYGrb+LCz+3bElrLy/cSijjLydP8nZsLA/VqsUAnbyoSDTz9OSH5s05lJ5Oq3XrGLN7NycrQORBEeGB3btxM5l4v0GDfMv09vPjVn9/Xjp0iMMF5HDWA8ZFo2LWClco06YZ9vopU8rm+j16GDZ+s9lYR3a1cMO2bShgcYsW+FbwGDqNPDz4rVUrgl1dsVitZBYjWNrx9HSGRkfTwtOTN+vXL0Mprzyu8/NjT/v2PFirFp/ExdFgzRrei40t1u9vb2YeP85fZ87wRv36BLu6FljuLZuSGF+At4SjFMHapCRG7d7NsUqSJEgrgnKkdm2YN88wC5UFnToZrp8vvgi//m7lDe/tHEhL44fmzanv7l42Ny0DLFYr/bdv56FieLU8f/Ag57OymNe0aY6Loabo+Lu48GHDhmxp14523t48uncvLdatY8llBmPLiviMDB7ft4+rfH25Pzj4smXrurkxoU4dvj1xgj9Onbrk+B13wOOPl5WkBROdksIncXG0Wr+evSkVP85FqRSBUspPKfW7UmqPbV09nzKNlFKbcy1JSqlHbccmKaWO5jrWrzTyVFRSU2H6dLj+emjUqGzv1akTPP20MMd/D8vOnOGzRo3oVq1a2d7UzjiZTER5exPl7V1kr5a369fn5xYtaOqA+P9XEs08Pfm1ZUsWNW+OFbh+2zZ+y6eCLUv+PXsWiwjTGjXCVIT///HQUOq7ufHk/v2XNBz8/MABuox7goLYFhVFsIsLcxIS+O3UKbIqsKtuaXsETwPLRCQCWGb7fBEiEiMirUWkNdAWSMFIYJ/NO9nHRWRJKeWpkDzxBPz+e/ndL8VqZfP58zwVGsrQSppgYHJ4eM5M5vMWS4Hl9qSkkJKVhZeTEz2rX9IO0ZQApRQ3+vuzvV07ZjduzDW23/XP06c5VQ7jB7cGBHC4Y0caFTEulJvZzJymTfm2WbNLGg4ZGcY8m/Kycv1w4gRfHT+OiNDcy4s1kZG09/ZmVdI5Pj92jD0pKSW+9omMDBIyMuwo7QVKqwj6A7Nt27OBAYWUvxrYJyKHSnnfSsGqVYZb5nffGX785eHJmCWCp9nM8tateaVevbK/YRmz/PRpwtesYW1S0iXHMq1W+m3bxsAdOxwg2ZWPi8nEPUFBmJQiNSuLQTt2MGr37jK73zmLhaW25nu1Ysaf6uDjQz13d0TkokQ8np7g62vMlykPZh0/zgdHj+aEXXEzm+lbw4/BgQGcsViI3LCBL48fL9G13Uwm3jhyBGsZ9CxKqwhqisgxANu6MIfIwcDXefaNUUptVUrNyM+0lI1SaqRSar1Sav2JEydKJ3U5sGqVEa7hq6/g9GnYtavs7/nInj1cv3UrZy0W3MzmInWrKzrNPD3xNpu5ads2DuXxDHE2mZgaEcGzetJYmeNua1y8bAuPeyA1NafSthfvHz1Kv23b2F3CVrOIMHDHDu6Pjr5of716hpNGefB98+b81KLFJfNXGnl48GCtWkR6eXFPdDTjijHT7XRmJuctFrydnHi9Xr0yea8LVQRKqT+UUtvzWfoX50ZKKRfgJmBBrt0fA/WB1sAx4K2CzheRaSISJSJRAZXANXD5cqNbKmKEkyhO2IaikJaVxXcnTjBw+3ZO27rrnX196ezr61BvD3sT4OLCzy1akGa15ig5IMdE0dvPr9LEyykKFouFfUWJF+IAWnh50cBmrnk7Npa+27bRb+tWtpw/b5frPx4ays8tWpQ4VLhSivY+PrT19r5orGDcuLJPwfpTYiLxGRmYlSKggIl5Pk5O/Nm6NZPDwnKi+OZl1Sp49VVjDXDWYuHarVsZsH07IsLq1eqi4/aiUH9CEbmmoGNKqXilVLCIHFNKBQOXixHQF9goIvG5rp2zrZT6DPipaGJXfLJdOTMy7Be2wSrCijNnmBMfz7cnTnA2K4uazs5Ep6TQydeX2+05Q60C0cTTk++bN+e6rVu5bccO3mnQgE4bN/JBRAT3VNIxkLycOHGCzz77jI8//hhXV1fu2rMHlOK///6jU6dOmCrY/I+36tcnzM2NFw8epPX69QwMCGBSWBjNSjBYn2G1kma14uPkRN8aNUol11O5AhtmM3Cg0SArK3YmJzNo504GBgTkhFlftcpo/PXoAUEAtgbhqUTFaO8wavgZE0Df2RqPpJi4wc+fkBBFz55GnWE2w80Drewdsott5zO5+qdm3HBS8ccfRnBIF5eiBYcsKqV1LF8EDAWm2NYLL1P2DvKYhbKViO3jzcD2UspTYch25cx+GEr6h4kIW5OTmRMfz9z4eI5mZOBlNnOLvz931axJr2rVKuwkMXvSq3p1pjVsyH0xMbTbsAE3k4lelcwbKj927tzJ66+/zrx580hPT+eaa65hzJgxbAS2bt1K165dadmyJZMnT6Z///4VJjaQi8nE+NBQ7gsK4p3YWN6NjeW7Eye4IzCQ58PCijzQC0YYiU/i4tjYtm2BreniICLMiY8nCxgaFMQ33xjRemfNKvWlLyHDauXuXbvwMpt5wzYmt2qV8c5nZBiu4otvhblzjcp94TQYOtQI9PjBB8IvOzxx9RQ8IhR16kBmpqG0srKE3w+fIyn1HDNaNiTttBu//WYoE6v1QnDIiqIIpgDzlVL3A4eBQQBKqVrAdBHpZ/vsAfQGHshz/utKqdaAAAfzOV6p6dSpdH9UhtVKuw0b2JqcjJNS9PHz483AQG7y98ejCvrKDwsOZm9qKq8ePsycJk0qbQiJjIwMMjIy8PLyIiYmhm+//Zb77ruPMWPG0LRpUwA2Ac2aNeOrr75i8uTJ3HzzzURGRvLCCy/Qr1+/CqMQqjs780J4OI+EhPDmkSO8HxvLvIQEhtSsyUvh4YX+R7tTUnjx4EFu8ve3ixLIZnZ8POuSkujr50dwsEuZBZ+bfPAgm86f54dmzQhydcViMUxRGRkCKCwW4fhxePY5I67Y9EkXzp0+XSHiSaYILib4alkKzq7uWDJAnISzd+5jXrcG3BboD42hZUtDodnTypBNqZqSInJSRK4WkQjb+pRtf1y2ErB9ThGRGiJyNs/5Q0SkhYi0FJGbcvUOqgRnMjNZl5TEj7kGv0fv3k3PzZsBo9V1TfXqfBQRwbFOnVjcogWDa9YsEyWwY8cOYmJi7H5de/NyvXrEd+5criEk0tPTSUo6R0pKSqnCNh8/fpzJkydTt25d3njjDQBuvPFGYmNjmTp1ao4SyMZsNnPXXXexc+dOZs2axZkzZxg8eDCnT58u1fcpC2o4O/NqvXoc6NiRR0NC+DExkSzbsYK8XESEkTExlw0jURKUUnzQoAHJViv/27+/zGYX/3f2LFMOH+a+oCAGBARgsRit/shICyaVhiITZ2chLKzg4JJKqZykTAuDDpD+xiaqj4zF+tZmvhxYm9tymXszExfzca0hPPdArF3NQqCjj5Y5aVlZ7EtLY3dKCrtTUy9aJ9gGPM1A6lVX4Wwy0dzT86JQEG/Z8QW5HCkpKSxZsoTQ0FBeeeUVnCpwOAp7thyLwtHYo2w8coSNK5bz3cffER4eTnh4OC+++CItW7YkMTGR48ePEx4ejmc+NvI1a9bw/vvvs2DBAjIzM+nbty/du3cHwMnJiWqFmLicnJwYOnQod955J1u2bMHPzw8R4aGHHuK2226jZ8+eZfG1S0SgiwtvNWjAC+HheNoaLDdt20YrLy9ezuPOPOP4cVacPcu0hg0JsvN0+8aenjwWEsIbR44wvHUtIiN9yMoqeWrXvCRZLAzZtYu6bm6826ABy5bB6NFG1kCvjFEskO3E0IMet9QmKPT6Il1zduPG1HDay/Rm+5jVuDF31ax50fFNTz/NI/t2knnngzh3sm841Yr7tl8h/O/AAd7NFR0xyMWFhu7u3OTvT0N3dxp6eNDQ3T3H3WxU7drlJpuIsHXrVlq1akVkZCQJCQm88cYbbNq0iXnz5lGjlAN3lZW0tDRef/11UlJSmDJlCkHBQTT39SXEzQ3fRr4cOHCA/blmsS5cuJDhw4cDEBgYmKMo3nzzTWrXrs1rr73GsmXLeOihhxg9ejQRERElksvZ2ZmoqCgAYmNjWbx4MZ988gk9e/bkhRdeoGvXrvb5AexAthLItFqp4+aWE+LaYrVyIjMTBUUOI1FSnqtbl6/i43l4727WLG5r15Dkj+3dy6G0NJa3asMHrzvxwQdGXo9ff/mGrtOn09dsxqmvP8ydwuLm6fi2a0dondDLXtPDbOaTRo14p0GDS8Kk7Nq1i/Y7d3IiIICAzp3t9j2y0YqgjLkzMJB23t40dHcnwsOjwgR+ExEeffRRPvroI9atW4fZbOb6669n1KhRjBo1iqioKH799VcaNmzoaFHLlZ9++olHHnmE/fv3c9dddyEieHh44O/hQQf/GgyeNPiSc3r37s3XX3/NgQMHcpa1a9fiYqv83nvvPapVq4a3t7fd5AwNDWXv3r1MmzaNV155hW7dunHttdcyc+ZMauXKLe1onE0mpuZ6huYmJPDA7t3Ud3MjNSuryGEkSoK3kxNv1q/PXbt20WtoCo3dPbn33tKbVH48cYIZx48zoU4dItJ9eX2VkerV1/c8b9a8j0lA1ltvwQMPkNWhAw22bmf23r3cNmIE4eQfBj43+cXK+mbyZCYB5x96qExmplaMWukKpp2PD+18fBwtxkVkZWXxwAMP8Pnnn/Poo4/SumVLFj7yCLi4cN/vv9O8eXOeeeYZgq4Q18yicPjwYUaPHs1PP/1EkyZNWLZsGb169SrSuXXq1KFOPm6L2YSGXr4leBE7dsDzz8Mtt0BEBLRvX2BRNzc3xo4dy/Dhw/n444+ZO3duhe/FdfX1ZXBgIF8cP87L4eHF8i4qCXcEBvLGL2f4e647f2cJX3yh+PPP0imDmNRUmsUFcnJ+ODU/gsWLbQdWbmViejrJ/frhOXYsKIX5u+9wbfo6N6anM2/OHMImheFXwByCy9Flzx6ylMLrwQdLLvhluPL9DjUXkZmZyZAhQ/j888957rnnePvNN1GjRsE//xj+rsOG0b5NG37//Xd8fHxITU3l7bffxnKZeD9XAhkZGaxevZo333yTLVu2FFkJ2I24OCNZRcuWxv8QFwcdOsBttxWab9HDw4Px48ezfv16XF1dSU5OZsCAAWyogBlZ6rm7M7NxY8507crT5TAjXCnFVQfDQBSgSEsTli2DmBi4TD6byxL0Vx3iH2lCj6tUTuN8+/LlcPvtqLAwPOfOvdBqb9AA1b8/tcRK5KlT3HrrrWQUN16QxULvY8cwXX99mc2M04qgijF//ny+/vprpkyZwguTJqFGj4bPPoOuXQ1/tNmzjTCp584B8P333zN+/Hiuu+46EhMTHSu8HRERFi5cyOjRowFo0KABhw8fZvz48TgXM85NqUhKMtLJNWgAX3wBjzwC+/bB2LEwcSIsWQJNmsCYMRAff9lLZbuU7t+/n3Xr1tGxY0deeOEFMitAopm8eJfQRJqWloa1mDPnB1/nirOLgFlwdzdCv7y38DwtWglduhj5w4uSNmBufDxvLTzHq6/C8uWKwTYr4ddz5nC4Z0+yjh+H+fON4Ea5adYU2rWnA4LfP/+wqhjTgi0WC3umToVjx1DDhhX9SxcTrQiqGHfeeSd///03Tz35pFG5fPopPP20keuye3eYMQP+/BOuugqOHeOuu+5i1qxZ/Pfff0RFRbFx40ZHf4VSs3fvXq6//noGDBjA8uXLc9wx3cszZ0NmJkydaiiAl16C/v0hOhrefhtq1DBmIk2aZPQGRoyATz4xyk6eDIWEdGjRogXbt2/ntttuY+LEiXTu3Jld5RHsqoz58ssv+fjjjzlfzJAWnTrBij9NvPwCLFumaN9R+L7LFnot28UzzxhxiCymLH74Ad57D44evfQaBw4KExec5de6+9mwQWjWzNgfExND9H330Q/gnXcgMjJ/Ia69FoKCme/pSfdi9IR+/PFHNj3yCBk+PnDDDcX63sVBK4IqQFJSErfeeiu7du1CKUW3rl2NFufHH8OTT8Irr1zoyg4bBj/9BHv2GG/Qrl0MHTqUf//9F6vVSpcuXVi0aFGp5ElLS+O9997jueeeY8uWLXb4hkUjJSWFZ599lmbNmvHvv//y1ltvsXnzZqqXZ/hqEfj+e2jWzPA3bNrU8Dn8+msjOlpegoIMhbFzJ/TpYyiHBg2M/+4yLf3q1aszZ84cFixYwIEDBxgzZkzZfacy5ty5cwwZMoR77rmHWrVq4eHhgdVqZf78+UXuHXTqBBMmKDp1ArNSbIiKYkrDMPr1g4deTSFo9Uo+TzvI0jUZtGghdO0KycmwcqXxSrSNVIyyNmBO0yZ4ehrvSkpKCq/268dzGRmk3HgjZlvvMl+czDBoEGaA22/nh2++4ZtvvilU7s/feIP+gNPQocYssjJCK4IrnFOnTnH11VezaNEioqOjjYro0Ufhww9h/Hgjb2ZeL4Q+fYwEyGlpRjD3f/8lKiqK9evXc911110y8elynD9/nmXLljF58mTef/99AFxcXJg4cSKvvPIKrVu3pnXr1rzzzjskJFwuVFXJsFqtxNqMwenp6UybNo3bbruNmJgYxo0bV75moJUrDRPcrbeCk5MxyvjXX9CuXeHnNmwICxbA6tVGdqOHHoLmzY0Y55eZ5DZw4EC2b9/O559/DhgxjQ4ePGinL1T2bNiwgcjISObOncukSZMYNGgQTk5OLFq0iNtvv51rr7025/8tDrVdXYmwDVQ7KcVtAQGsCDnC0pEr8Vu4jsajj7NsfQbdu8OsWUJKitCpnemiOSwTRozg5f37Sa9dG4+vvircm8evutHjXrsWy+OPM3ToUP7777/Lfvd6a9fiCpjuu6/Y37E4aEVwBRMfH0+PHj3Ytm0bP/zwAzcPGACPPQbvv2+s33ij4Ie3bVsjaEpAAFxzDXz3HYGBgfz44480aNAAEWHKlCkUFBJ8ypQptGvXjmrVqnHNNdcwefJk/vnnHwBMJhP79+8nISGBDz/8EBcXF8aNG8cff/wBGMojrYBk5EUhMzOTP/74g9GjRxMaGspVV12FiFC9enV27drFl19+SXAZ+a7ny+7dRuXfpYsxxXXaNNi61ejqF9cVsEMHI8jM4sXg7GxEVOvUCf7+u8BTgoKCCAsLA2DcuHG0aNGC6dOnl2qWdHnx5JNPkpaWxvLly5k4cWJO8L3+/fszbdo0Vq1aRcuWLZk/f36J71Hf3Z3PGzfmWKdOzGzUiNpeznweHM2Ar2KxWI1QERl5IwhbrTy+dSs1nZzw/OknKKpn4K23wsMPMyg2lvv8/BgwYECB0Wbfe+897jeZyGreHFq3LvH3KwpaEVyhxMXFcdVVV7Fv3z5+/vlnbrj+eiN563vvGQOSb71VeCUUHg7//WfYPQcNMhSIjV27djF58mTatm3LBx98wH333Ue3bt1yKpd9+/bh6enJ008/zS+//MLp06dZsOBCBHI/Pz9q1KjB6NGjWbt2LTt27GDAgAEATJ06leDgYB566CHWrFlTrApr2rRp1KxZk969ezNz5kw6dOjACy+8kGNCKHP3ShGjJ3XypGFeGzPGMAP99hu88MIFm39p5pMoZSiRLVvg888N95fu3eHGGw0Fcxleeukl2rVrx4gRI7jxxhs5Vl4ZW4pBfHx8TgPjiy++YMuWLXTr1u2iMkopRowYwebNm4mIiOD222/nySefLNV9vZycuDc4mBVt2rC3QweG9nFDOVvBJLjliu1jtVrh1VcJ2b4dp48+Kn4l/cYbEBXFB+fPE5KZyfXXX39J2JC0tDQO//wzkVYrZttkxTJFRCrd0rZtWykq+yfuN5buM0UmTrywXOEkJyfLTTfdJP/++6+I1Sry+OMiIPLww8bnPEycOFEmFvS7pKSIDBhgnP/44yJZWSIismHDBqlTp44AUqNGDenfv7+cO3eu1LL/999/cuedd4q7u7sA0qhRI3nttdfEmkfu06dPy5dffim33HKL7Ny5U0REfv75ZxkyZIj88MMPkpycXDpBLBaRtWtlf+85MvPuP2R/1IciQ4aI3HKLyHXXiXTpItK6tUiDBiLBwSI+PiImk/E7ZS9ms8ioUSLHjxfr1hOLUzg5WeTVV0V8fY17tm0r8tZbIkeP5ls8KytL3nvvPXFzcxM/Pz/5+++/iyVbWfLbb79JzZo15ZZbbsn3eH7PaUZGhkycOFGWLVtmd3n+/c8qL76cJStXGp/Pnz8vDzZuLFlKidxxR77vUl5y6qCJ+3Pt3C/i6ytJjRuLl7OzfPTRR5eclz5mjFidnUVOnChc0Nx122XqN2C95FOn6gllVxAiwq5du6hduza+vr4sXLjQqI6eftqIe/vQQ0aPoLjmCHd3+PZboyfx5ptGC3TWLCIjI9m5cyfHjh2jfv36douI2blzZzp37kxSUhILFixg9uzZ/PXXXzktvk8//ZTvv/+eP//8E4vFQnBwMAcPHqRJkyb069ePfv36FXKHAhAxPHeWLbsQQ/zMGWAo9OxlTPY68Td4eRk5ED09jezonp4X78u93a2bYd8vSzw8jP94xAjDBXXOHGP854knoGdPuOsuY4Kaza3RZDIxduxYrrvuOsaPH0+jRo0AWLJkCRkZGdSvX5969erlGzeprMjMzOS5557jtddeo2nTpkyaNKnI5zo7O19U/rnnnsNisTB58uSc2d0lpUtnRZfOxnMtIjw9bBjPR0eTGhKCZ2nyz4aHw8yZeN9yC4eHDKH6Qw/lHMrKysKUlYXL/PlGz8/fv1TfoShoRVDB2bBhA8eOHeP06dOcOnWK06dPExoayv333w/A9ddfz759+3KOWSwWbrnlFr7LHkScMAFefx1GjTIGiEv64JrN8MEHEBpqVDrHj8MPP+BZrRoNihMYT8Twh4+JgVOnjOuFhRkuk3lk8/Hx4f777+f+++8n3eboffToUUaNGkX9+vUZN24cN998M+3bty954pYjRy5U/H/+aUzkAkOmgQMNp/P1zcHLE67qBpOmluw+5UGNGsbYz2OPGQpt7lxDKdx3n/H/33ijoRT69gVXVxo1asRPP13IBfXCCy+wZs2anM9BQUFcd911zLIF8v/tt9/w9vamfv36BAQE2E3xHzlyhEGDBrFmzRpGjhzJO++8g0cJZxyLCAkJCUybNo1ff/2VOXPm0MSWLKa0zPr8c/ovWIC/kxPOP/8MpQ0ZcvPN8OijVH/3Xejfny0NGvDPP//g7e3N2mef5aOEBMNlqRzQisDBxMfHs2PHDnbu3JmzrlGjBt9//z0Aw4YNY9u2bRedc/311+cogoCAALy8vPDz88tZBmanZHruOcMraOTI0imBbJSCp56CkBDjAe3WzZjwlF8IheRkw0YeE2MMlsbEXNjOJxE9np5Qt65RAeezdrVFYqxVqxZHjx4lKCioZBXRqVOGp0525Z+djD0gwJhLcfXVxpLblTO6nBLe2pPGjY0xicmTYc0aQyF8843Rs6te3VByd99teDHZlOiSJUvYt2/fRUvuuEXDhg0jzqYovb29qVevHrfddhsTJkwA4K+//iI4OJiwsDDcipErws3NjXPnzjF//nwGDRpUqq+tlOLTTz+lb9++DB8+nMjISN58800eeuihUimubdu2cWTUKIYB1qlTjRng9uC11wxvsvvuY36/frwybx6BgYHMTU1FatZE9eljn/sUglYE5YCIEBcXx86dO9m5cyfx8fG88sorgPFy/fLLLwBUq1aNZs2aXdTCnj59OmAMrlavXp1q1aphzhWUalZBaZcmToSXXzbCFnz8ccEB0UvCXXcZ/u233GJ4rLz1ltFDyF3h53Xpq1PHMJEMGWK4PzZsaHR5Y2Ph4EFjOXTIWK9ebVTYuXFzgzp1UGFhBGdHaLVYjLx92evc2/kdO3fO8McXMRRP9+7wwANGxd+ihX1/o4qCUtCxo7G8/Tb88YehFObMMWaUh4bCHXfAoEH4NW6MX7t2tCvAnfWPP/64RFGIbSA/MzOTa665JmdQPjg4mPDwcIYPH86wYcPIysrin3/+ITw8nJCQENLS0nj//fd54oknCAgIYOvWrRc91zkkJMCGDcayfr2hxF1djUH31q2hVStjnSc/xYABA+jQoQP33Xcf48aN47rrrqNBgwakpKSUqLex/f33edZiIXXgQNztOXjr4mIo6DZteHH3blZ36cK2//6jp8mEGjnS8AwrB0qlCJRSg4BJQBOgvYisL6BcH+A9jND700Vkim2/H/ANEIaRoew2Eal4WTdKwauvvsqUKVNIytUKDggIYPLkyTg7OzNhwgTGjx9P06ZNL7Ry09LgxAlwdaV927bFD6I+ebLRGrzvPmPmcFlUcFdfbcQn6tuXnLn2vr5GJd+zp1HRN2pkLA0aGHbs/GjbNv/9SUmGYshWDtnrgwcNW73JZPwuTk7GOvd23n2ursba39+I3XP11UYwt/KcQ1ARcHY2/q++fY0e28KFhkJ46y3DfAjGbxQWdukSHk6TunULNLMopfjnn3/Yv3//RVFYs+PqxMbG5uRNcHZ2xsPDg6SkJKKioujdu7ehBBITL6701683THfZNGpkKK6MDGOey5w5F47VqmUohFzKIbhBA5YsWcKWLVtyGlcNGzbk7Nmz1K5dO2fp3bs3Q4YMAWDjxo0EBgYSFBR0ISfH8ePcsXgxlogI3GfOtH/0z7AwmDUL04AB/Dx8OBtr1cK0YEG5mYWg9D2C7cAtwKcFFVBKmYGPMFJVxgLrlFKLRGQn8DSwTESmKKWetn1+qpQyVRxOnqRrSgpvdexIfX9/Qn19CXZ3xyMz09D2Z8/S9exZyLvkDUrl6nrpIGRBA5Tx8TBzJtx7r9HiK8tWbsuWsG0b7NplRMoMCLDfS+LjY7TSW7Swz/U0F+PpCXfeaSwnThjjI9mK9sAB439dvPjSIDwBARcriDp1wMMDJxcXOjs709nT03A37tjRUDwuLrB+PYFZWfw3fTqHjh/nUFwc8QkJDG3fntYbNhiNlfXrDWWfTUSEMe8iKspoLLRpYzQ0sgeFJ00yFMeWLbB5s7Fs2QK//mr0/mzfUbVsSets5VC3Lu/0709sYiJxp04Rm5jIvuhoQp2d4cYbsTg50S4qCqsIJpOJoKAgalSrxj/u7vgmJeH0xx/Ge1YW9O8P48bh9vbbdPbzMyYZZsexKAdKpQhEZBdQmO2tPbBXRPbbys4D+gM7besetnKzgeVcSYpgwwa6vfQSF3lAK2UMMvn6Xlhq1jQe/Nz7vL0NhZCcbCznz1+6fezYpfstFsMc9Mkn5WPq8PMzXlhN5SUgAG6//dL9VqthmslWENlK4uBBo9JdtKho0doAd6Czbcnh22+Ndf36xkS50aONSj8yEgrJ2gYYvZfsMZ1s0tIM819u5TBnjmEexZZUPS8zZsCMGTgBWUCWkxOZZjPpp05hSUzENyPDaFw1b16k71piXn3VmLezZg28+GLZ3isP5TFGUBvI1b8jFuhg264ptjzFInJMKRWY9+RslFIjgZHAZWO/Vyjat4d//71Qufv4GBV8WVbQFkvpJitpNNmYTMZYUFCQ0cLPi9VqtMrT041GS35LZmb++y0Ww2QYGWk0JuyFm5txzdzB30QM5XX8uKEospf09Is/2xazbXHL3hcZafSwyxoXF0M5fvwx3HNP2d8vF4XWGEqpP4D8gmA/IyILi3CP/LoLxZ7bLiLTgGkAUVFRFX9uPBitmvJuLWsloCkvTCYILLDtVnFQyvDbDy88O5jDCQkxnDzKmUJrDRG5ppT3iAVy+xeGADZnbeKVUsG23kAwYP+oYxqNRqO5LOXhL7cOiFBKhSulXIDBQHYc40XAUNv2UKAoPQyNRqPR2JFSKQKl1M1KqVigE/CzUupX2/5aSqklACJiAcYAvwK7gPkissN2iSlAb6XUHgyvoimlkUej0Wg0xae0XkM/AD/ksz8O6Jfr8xJgST7lTgJX592v0Wg0mvLjCpxKqdFoNJrioBWBRqPRVHG0ItBoNJoqjlYEGo1GU8VR2dEDKxNKqRPAoUILFg1/INFO1ypPtNzli5a7fNFylw11RSQg785KqQjsiVJqvYhEOVqO4qLlLl+03OWLlrt80aYhjUajqeJoRaDRaDRVHK0IbIHsKiFa7vJFy12+aLnLkSo/RqDRaDRVHd0j0Gg0miqOVgQajUZTxamSikAp5aaUWquU2qKU2qGUmuxomYqDUsqslNqklPrJ0bIUFaXUQaXUNqXUZqXUekfLU1SUUtWUUt8qpaKVUruUUp0cLVNhKKUa2X7n7CVJKfWoo+UqCkqpx2zv5Hal1NdKKTdHy1QUlFKP2GTeUVl+69xUyTECZSRZ9hSR80opZ+Bf4BERWe1g0YqEUmocEAX4iMgNjpanKCilDgJRIlKRJ9tcglJqNvCPiEy35dPwEJEzDharyCilzMBRoIOI2GsSZpmglKqN8S42FZFUpdR8YImIzHKsZJdHKdUcmIeRnz0DWAqMEpE9DhWsGFTJHoEYnLd9dLYtlUIjKqVCgOuB6Y6W5UpHKeUDXAV8DiAiGZVJCdi4GthX0ZVALpwAd6WUE+DBhWyGFZkmwGoRSbHlX1kB3OxgmYpFlVQEkGNe2YyRHvN3EVnjYJGKyrvAk4DVwXIUFwF+U0ptUEqNdLQwRaQecAKYaTPFTVdKeTpaqGIyGPja0UIUBRE5CrwJHAaOAWdF5DfHSlUktgNXKaVqKKU8MHKxhBZyToWiyioCEckSkdYYOZTb27p3FRql1A1AgohscLQsJaCLiEQCfYHRSqmrHC1QEXACIoGPRaQNkAw87ViRio7NlHUTsMDRshQFpVR1oD8QDtQCPJVSdztWqsIRkV3Aa8DvGGahLYDFoUIVkyqrCLKxdfWXA30cK0mR6ALcZLO3zwN6KaW+cqxIRcOWtQ4RScDIatfesRIViVggNldv8VsMxVBZ6AtsFJF4RwtSRK4BDojICRHJBL4HOjtYpiIhIp+LSKSIXAWcAirN+ABUUUWglApQSlWzbbtjPIDRDhWqCIjI/0QkRETCMLr8f4pIhW8xKaU8lVLe2dvAtRjd6QqNiBwHjiilGtl2XQ3sdKBIxeUOKolZyMZhoKNSysPm0HE1Rp7zCo9SKtC2rgPcQuX63UuXs7gSEwzMtnlUmID5IlJpXDErITWBH4x3GydgrogsdaxIReZhYI7NzLIfGOZgeYqEzVbdG3jA0bIUFRFZo5T6FtiIYVrZROUJ2fCdUqoGkAmMFpHTjhaoOFRJ91GNRqPRXKBKmoY0Go1GcwGtCDQajaaKoxWBRqPRVHG0ItBoNJoqjlYEGo1GU8XRikCj0WiqOFoRaDQaTRXn/04zLfnUH+qaAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.figure()\n", "plt.plot(t1_o,s1_o,'r-', lw=0.5, alpha=0.3, label='sig 1')\n", @@ -346,7 +268,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "loaded-indication", "metadata": {}, "outputs": [], @@ -358,23 +280,10 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "tamil-lying", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", - "text/plain": [ - "
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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.figure()\n", "plt.plot(t1_o,s1_o,'r-', lw=0.5, alpha=0.3, label='sig 1')\n", @@ -576,7 +433,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "id": "mineral-placement", "metadata": {}, "outputs": [], @@ -588,23 +445,10 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "id": "dying-gabriel", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "corr_s.gen_synth(400)\n", "corr_s.gen_corr()\n", diff --git a/docs/recipes/stochastics_tests.ipynb b/docs/recipes/stochastics_tests.ipynb index 5f4c3b9..6b1147b 100644 --- a/docs/recipes/stochastics_tests.ipynb +++ b/docs/recipes/stochastics_tests.ipynb @@ -18,7 +18,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -49,20 +49,9 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.31249999999999994" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "theta = 0.1\n", "mu = 0.5\n", @@ -92,18 +81,9 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 19.1 s, sys: 139 ms, total: 19.3 s\n", - "Wall time: 19.5 s\n" - ] - } - ], + "outputs": [], "source": [ "%%time\n", "# Integrator 1\n", @@ -119,22 +99,9 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.figure()\n", "plt.plot(sol.t,sol.y[0], 'b.--', lw=0.1, markersize=0.2)\n", @@ -151,18 +118,9 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 41.1 ms, sys: 1.85 ms, total: 42.9 ms\n", - "Wall time: 42.1 ms\n" - ] - } - ], + "outputs": [], "source": [ "%%time\n", "\n", @@ -177,22 +135,9 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.figure()\n", "plt.title('U-O process')\n", @@ -211,22 +156,9 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "bins = int(y.size**0.5/1.5) #bins='auto'\n", "rang = (np.percentile(y,0), np.percentile(y,99))\n", @@ -260,7 +192,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -273,51 +205,9 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "popt: \n", - "[0.90204725 0.16779594]\n", - "pcov: \n", - "[0.05551431 0.00623707]\n", - "sig_est: (método chusco)\n", - "7.342748650825824\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - ":10: RuntimeWarning: invalid value encountered in double_scalars\n", - ":10: RuntimeWarning: divide by zero encountered in true_divide\n", - ":10: RuntimeWarning: invalid value encountered in true_divide\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 204 ms, sys: 9.9 ms, total: 214 ms\n", - "Wall time: 211 ms\n" - ] - } - ], + "outputs": [], "source": [ "%%time\n", "\n", @@ -367,20 +257,9 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.7999230124847494" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "dy = y[1:]-y[:-1]\n", "sigma_est = (np.mean(dy**2/y[:-1]**2))**0.5/np.sqrt(dt)\n", @@ -396,57 +275,9 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/juan/miniconda3/envs/mutis/lib/python3.9/site-packages/scipy/stats/_distn_infrastructure.py:1790: IntegrationWarning: The algorithm does not converge. Roundoff error is detected\n", - " in the extrapolation table. It is assumed that the requested tolerance\n", - " cannot be achieved, and that the returned result (if full_output = 1) is \n", - " the best which can be obtained.\n", - " return integrate.quad(self._mom_integ1, 0, 1, args=(m,)+args)[0]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fit: \n", - "(0.7027291571465, 0.19979424716108352, 0, 1)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - ":10: RuntimeWarning: divide by zero encountered in true_divide\n", - ":10: RuntimeWarning: invalid value encountered in true_divide\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.figure()\n", "\n", @@ -580,7 +374,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -602,40 +396,9 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "popt:\n", - "[2.42491246e+00 8.19296258e-06 1.46861876e-03]\n", - "pcov:\n", - "[3.26960893e-02 1.28209202e-06 9.81111406e-04]\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - ":20: RuntimeWarning: divide by zero encountered in true_divide\n", - " plt.plot(f,a/f**b+c,'r.--', lw=0.5, markersize=3, alpha=0.8)\n" - ] - }, - { - "data": { - "image/png": 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gfv1qjBw5v+CGISHQqZOzmtbBg94PTKSU8suEr5JO8PjnP68mKiry9Bk28xIe7ozZX7cOZswAP/7LVMRfqaQjfmHs2CWUKRPKyJE3nrnxkSPw449Qo4YzTYOInEYlHfFrjzzSjsOHjzFp0qdnbhwZCS1bQlISdO+um7VECskvE75KOsFp/PgO7N59gGnTPj9z49BQ2LwZFi+G++6Do0e9H6BIgPPLhK+pFYLXxIm3Mn/+Z1SpcgOzZp1hJs34eOjY0blBa9cujdkXOYNCzYcvUpI2b97AgQOr+Oc/h/LJJ32pWLECN9zwN9q3v5DIyPCTDU+dYz8rC954w3nepEnJBy0SAJTwxe+MHh3PuHHOv253LLt2Heb99//HPffMIT39L8qVC6dNm2YcOZLOlCkvnWhHz55OaWfKFOjfH845x9dfRcSvaJSOBJxDh/5k0aIfueuuwRw58h2Rkc2ZMOFpOnf+O/XrR0FaGvz6K5QvD40a+TpckRKX3ygdv+zhG2PigLjGjRv7OhTxQ1FRZenVqwXp6VMYNy6Bf/3rXmrVimLChEUcOHAIY0K4uLmLS5e/QdnPl7D/gSeIG+f2ddgiPqcevpQ6GRlZfPZZCqltL+emjFR+CqlI059/JOrcer4OTaREaBy+BI2wsBCuu+5cIh96iuWRLn7o+RDT+z9FfK8Efvllv6/DE/EZ9fAlaOx6fSEfPf8eS+q0JH7ILVxxRUNfhyTiFerhS9Cr3SOOvkunMbvfhXw+5wNatBhO3bq35V5nV6SUUsKX4BIRQeT1V/HQNZVpsuN7ntz5Hm+NeNDXUYmUCL9M+JpaQbwqNBR69OCpOn9xGzA0cxeffvqLr6MS8Tq/TPiaWkFKQsMXn6F8t9u5btaTfPzkSyxYsM7XIYl4lV+OwxcpEbGx8MYbhFnL+DJhjEx8lyO//0GPXi19HZmIV/hlD1+kRBlDSIc4nnjtfsomTOTVpxf4OiIRr1DCFzkuJKI8XVb8m42vzWNZmaosHJ10xvdkZGTRtu2TREW1YerUFSUQpcjZU8IXOVV4OH/f9BWtMvZTccIQ/vf9rnyb/vLLfjp1msx///slaWn/4+GHH6Rv31n8+OPeEgxYpPCU8EVyCBs2mmWRLvYMe4bkoY/xRJcxHD6cflqbpKRkHnzwVRIT7+HJJ0fjcnUgIWEq48d3Zdq0j4iJeYD69btqjL/4Fb+80/aUydMGbty40dfhSDCzlh/f+ISZMz+iSYe29L/nKu65599ER9fi0Ufb5/u2Bg268+uv7+Ny3cbmza+UYMAiAXanrYZlit8whot63MBzrw3n3JlP8F5kdWLZX2CyBxgzZjhVq15Fy5aX5tvm/vvfpkaNm5k9e7WnoxbJk18mfBG/U7s2f/y6mZuzDtLy9aedFbYK4HbHsm/fhxhjSEk5kGv/mjU7mDHjKVJTVxAffy+TJn1KRkbBxxQpLiV8kULKru0fdg+DlBTYvfuM75k6tS/Dh885bdv27Wk88shcJk9+DperE9Onv0D9+lVp0WIodep0Ud1fvMYva/jZNFum+K30dJgzB6666oxr6M6cuZJDh44yYsR1HD36F7fd9iwzZ95NvXoVT2vXsGEPtm17H5frVtX9pVgCqoYv4vfCw2HgQGjQAO6/H7p3h+S8e+aDBl3O11//RErKAe68cyZjx/bKlewBHntsGBERzfi//xvs7eglSGlqBZHiKFcOduyAxYvhyBFYuDDPZlOn9qVVq378+edR2rVrRUxM3Vxt3O5YDh9+hqio8t6OWoKUevgixTV8OHTsCO3bw1tv5dmkVq0KhIaWITX1S8aNS8j3UG73Zbz33kpvRSpBTj18keKKjYVXjtfcrYV334UDB2D5coiPd/YDjz46lHHjQhg9Oj7fQ1WoEE5mZibp6ZmEh4eWQPASTHTRVsQb2rWDL790ev1vvFGkt86Z8zV//ZXJgAGXeSk4Ke100VakJI0ZA23bQq1aTm2/CHr1asknn3zrpcAkmJVYwjfGdDLGvGSMed8Yc2NJfa6IT8TGwrx5MGUKpKbCCy/AihXQp0++o3myhYWFEBYWlmv+HpHiKlTCN8YkGmP2GmPW5tje1hizwRizyRjzUEHHsNbOt9YOBO4Eup11xCKBJjoabr8dJk+G+fMhIf+Lttluv/0KXnzxi0IdfvjwtzRRmxRKYXv4LwNtT91gjAkFpgPtgKZAD2NMU2NMc2PMohyPGqe8ddTx94kEj2rVYORIuPRSaN36jFMzxMU1ZdWqgpdczMqyjBjxDjNnTmL79g8KHP0jAoVM+NbaFcD+HJtjgU3W2s3W2nTgDaCjtfYHa+0tOR57jeMpYIm1Nt8CpTFmkDFmjTFmTWpq6tl+LxH/c+ml8MkncNddkJQEzz+fb4knJMSQlvY7lStfy6xZq3LtnzJlORUqxHDkyDESEqYSEXFRgaN/RKB4Nfy6wK+nvN5+fFt+4oHrgduMMXfn18haO9NaG2OtjalevXoxwhPxY/37w6efOiWeiRPzbLJx4zoOHlzDkCH38vrr/wVg6dKf6dlzBqNG/Ys//viFDz/8ELc7lr59h3L11eeV4BeQQFSchG/y2JbvGE9r7VRrbUtr7d3W2hkFHtiYOGPMzEOHDhUjPBE/9+CDEBcHTZtCWlquMs/o0fG4XB1JSHiBt9/+nIiIGF58cQkzZrhJSEjA5Yo70avv06cNs2Z97otvIQGk0OPwjTHRwCJrbbPjry8HHrPW3nT89UgAa+0TngpO4/AlaGzeDM8+68zAOWLEiZu1sjVq1IeUlEW4XLfkO7Fa167TmTfvvpKIVvycN8bhfw2cZ4xxGWPCge7AgmIcTyR4NWoE+/fDxx/D0KHwxx+n7XZ6+7cUWKePjCzPvn1HvR2pBLBC9fCNMa8DVwPVgD3Ao9ba2caY9sAUIBRItNaO90hQWuJQglFysjNks1cvqF0bfvgBPvwQhgzJ1ePPy+LFP7F27XYefPD6EghW/Fl+PXxNrSDir9q2hc8/h86d4dVXz9g8K8vSvfvzKutIYE2toIu2IsDYsdCli9O7f+wxp+dfwF26ISGGMmXCOHr0r5KLUQKKXyZ8LWIuwslZOIcMgbVrnbn2R41yZuTMR4UKEdSvf3OR7rpNSkrG5eqtO3WDgF8mfBHJ4cEHnTn3u3WDX36B997L86atjz5ayv79nxfprtuHH57Ali1v8dhjz3o6avEzfpnwVdIRySG7t9+/P7hczqRs770HU6ee1uyRR4ZQufIVtG172kwo9OuXlGcvPi3tT6pXr0/duh2oXbuht7+F+JhfJnyVdEQKEBrq3J3buTNcdBFMmAC9e0NyMm53LHv3fsTu3ftONP/yy63MnTuRLVvez9Xzv+uuRF5/fTTbt79F+/ZXMXeupmUuzfwy4YvIGWT3+EeOhP/+FxYscJ5nZREWFsJ55zVgxYoUjh3LYPz4N5ky5SUiIi48bRz/HXfMYunSd0lO3gLAqFFteeaZfxMd3dOj9fykpGQaNeqjawR+QMMyRQJd9vj9tm0hIgJmzuTov0Zx5/PfUanSOdxxx5W0bh2N253IE090pVatCmRlWSpUiOGPPzafdvdu3bq3sXPnYlyuW/O9o7eoatXqyJ49n+BydfHYMaVgGpYpUlpl9/Z79YJ33oEvviBi/GM03JjMtUkjOLD0PwAMGnQ9zz77MeAso3jrrXflunv38ccfpGLFlnTp0skjoY0fv5T9+zdQtuy59O3bwyPHlGKw1vrto2XLllZEimD1amt797Z29Wr7Rbma9jDYdyOjT+zu0uU5a621HTpMspmZWXke4s8/M2zz5oNtdHQvm5i4+qxDyczMsuXLX2IhyjZs2MO2aDHculy9i3VMKRxgjc0jp6qkI1JKLRydRMazY6ncqx9XRx6AbduYHhnLznoXUKVKBe6//9p831uzZhx79/4Hl6vzWZdhxo5dwu7d+/nwww8ZPTqef/7zAdLSvsfl6qDSjpflV9LxeS++oId6+CIe0rOntVFRdl+NBvZ9Iuz8h2cV2DwxcbUtX76lnTVr1Vl93NSpn9mIiJjTevPDh79lK1e+Tj38EkAg9fA1eZqIhx2/sPvZ28v4+7FdrC1XkytefBo++ijfydkmT/4P9epVoWvXvxX546KirszVmz92LIMBAxJ59dVBxf46UrCAumhrNQ5fxLOOX9hNe2A8n0a62D98vDMh28KFMHjwiXH8pxoy5CrefPOzs/q4Cy/8By5Xh9MuCJcrF0ZmZmaxvoYUT5ivAxCRkhM3zg3j3M6L5ObOnbopKc44/t27nbl6Zs+G+HjCYmOpVasaa9fuoVmzmkX6nHPPdbFq1ZN57svKsoSE5LVgnnibX/bwRaQExMY6vfxnn3Xm6Rk2DEaPdpL/iBHQpw9XlDlIq1Ztee65s+vp51S/fk3WrdvrkWNJ0SnhiwS77HH8N98MkyY5/x4+DAsWcMELj/DSsbW8ef8d1Khxy4m7ZZOSkqla9UY6dpyc6y7ajIwsjMm7B9+69QUsW/ZTiXwtyU0JX0ROio2F116DF16AuDjqNKhLF2OZRBozUpcw74ERAAwf/hD793/FwoVPkZLyzmlz9Gzc+Bt16lTL8/A7dhzg//7vIU2z4CN+mfB1p62Ijx0v99Sa+xIRvXrQ4Pwm3GQMY//cxO4LW9KnQX1crs7ceeeTREZezIgRd5946w8/7KRJkzp5HnbixBkcOfJ9kaZvFs/xy4SvUToifuJ4uaduUgKRvXpQvX49yv/0HaMOJbP5/H0kVlvPDxdXota2k2Wa9et30Lx53TwPN3p0PJUqXUrnzh1L6hvIKfwy4YuInzme+P+ZVoUFhLJu7yFYtQpee43oH1cS8/wouOkmSEri+jnj+Nufv+Z5GLc7lh07PmLbtt0l/AUElPBFpAg6Pj6GR13d+P3+8XDLLTBuHKZDB/aVr4xdtQpGjSJm2zeUe+Rh6N49zzV4IyLKkJq6j3r1blctv4T55Z222TSXjkhg+Hf8NK778SPq9unMF2Nn0Pr8yvD559C4MVSqBJmZ4HbD8uUQH0+9LhPZsWOxpkz2kvzutNWNVyJSbAfPu5gmiXOY1uciPvlHP1oPvcSZo3/fPli2zFl4fetWSE2FpUt5o/1Afn3lUyr0yn8CN/E8JXwRKbYpU17i6NGfGDbsQbp06XtybP+pJZ2uXWHcOEhNpfWnr/CXScPOGAl/bYAVK+Ccc5z9eczrI56hko6IFFtSUjLjxiUQGhrGvn2/MnnyBNzuPBJ39upc117LgeEPE3ZwL1StwTmH9oExTgkoIgIiI+HGG50TQUgIjBmjE0ER5FfS8cuEr9kyRQJTo0Z9SElZdNqyifnpVLcdt+78iP9VbcXEVpVP7li2zPm3alWnJJSV5fT+W7SAyy6D1avh6FHn2oBOBHkKqBq+tXYhsDAmJmagr2MRkcIbPTqeceM4bZbM/HR8fAzDRljat78N/j3A2ZizBDRvHnz/vVP7/+IL2LAB9u51LgIb4yzgXq2aMx3EN9/AwYMQFubs0wkhF7/s4WdTSUekdMvKsnTu/Czvvz88/0bJyfDoo87z7JPAwYMnLwIbA3XqwI4dkJHhvLbWKQVVr36yRFSmjPPXQtmyTpvs+X5K4YkhoHr4IhIcQkIMUVHnULnyNUye/FTedf/YWFiy5ORrd/b0zvmcCLJlnxD25jE7Z86O7ldfQd26cOyYU0pKTXWOVaeOcxL57TfnOcCuXVC7NlSoEHAnC/XwRcSnnLr/O0A5oqNvJiPjT8aOfSDv5F8U2SeEU08COW3cCPv3595elLxYrpzzKFvWmWW0WjXn2kPFivD7786xqlZ1ThqZmRAe7uw7dMj5i8Pak39tnHrMiRNPntyKKKAu2mZTwhcp/ZKSkhk4sDuZmamEhlYlM3MvLtetHrkha/TohcyZM5cxY4bnP2oor5PC4cMne/KQ9/Ndu5yThbdyqMsFmzef1Vu1iLmI+K3ExNXW5ept3e5EGxERYyMiWhV7sfPHH//QQkUL5a3L1btQn1+kz1y92tq2ba1t1szaqlWtbdQo978VKzqP7OeRkblf5/WoWtXaxMSz/u4E0iLm2dTDFwk+LldvtmyZT9myjalTpzmjR8efVXnHWUj9W6AciYmLCzxGvXq3s2PHElyuzqViqoeAWsRcRILXI48MweXqTEhIKCkp75/13PlNm15BdHQnYmP7n/GEcfnlbShbtlGhhpMGMiV8EfErbncsmze/wtSp0ylTpja7dq2lcuVrizyzZqNG0aSkvEpISAjR0b0KfH/ZsmXp0OHu4l8o9nMllvCNMRcaY2YYY942xtxTUp8rIoFpwIDLqFq1KceOreXgwc8YMKAzd9zxUq41dM9kw4av2bp1IePGJfDkkx/nSv5JScnMnz+bdevWlv4pm/Mq7Od8AInAXmBtju1tgQ3AJuChQh4rBJhdmLa6aCsS3BITV9uqVdvakJDaFspbqGqhrA0JqX/GC6y9er1orbV2xIh3bKVK19nExNU2MvIyC+ecdhG3YcMeFsrbkJC6Fiqc8QJvICCfi7aF7eG/fDy5n2CMCQWmA+2ApkAPY0xTY0xzY8yiHI8ax9/TAfgCWFack5SIBAe3O5Z9+5Ywa9Z8XK5bcbsnEhpam6ysXQwYkH9vPCMj68TzUaNuplOnnrjdsZx//j+oUKHZabX6zp07ULlya7p3H02FCs1LdR2/UHfaWmtXGGOic2yOBTZZazcDGGPeADpaa58AbsnnOAuABcaYD4DX8mpjjBkEDAJo0KBBYcITkVLO7Y7F7XZGz7RpcxEDB3YlM3MnAwZ0Aubnqr2npBygRg1nQraKFcuSnv4XABdc0IQmTRqf1j48PIzPPptL8+bV6dnTluo6fnFq+HWBUxeu3H58W56MMVcbY6YaY14EFufXzlo701obY62NqV69ejHCE5HSyO2O5aWX5hEaWpesrP30739Lrp7++vV7aNSo1onX9pTh51u2bDutjr9t2z6aNQuOXFOchG/y2JbvoH5r7XJr7RBr7V3W2ukFHtiYOGPMzEOHDhUjPBEprZyk/yahoXWwNi3X0M25c5fz+OPPnHYiOHYsg7CwUH76KZmtWxcxblwCSUnJLFyYxMsvO+1SUraecURPICtOwt8O1D/ldT1gZ/HCcVhrF1prB0VFRXnicCJSCjlJ/w0qVGjJ4MH9TmzPyrIsXDibPXs+O3Ei2LMnlYYNO3PwYBqDBg2mUqWY41M5J3DkyA8n2q1fv+rEyaA0Kk7C/xo4zxjjMsaEA92BBZ4JS0TkzNzuWKZPf47KlSNPbOvWbTohIeFUrXr5iQuw69Z9y969S1m0aBKNGtUkLq47bncsgwf345xzWpxo16FDL6pXb1OoC7fJydCnz+lT+Pu9vIbu5HwArwO7gL9wevb9j29vD/wM/AL8X2GOVcjPiwNmNm7c2PPjlUSkVNmz57AdOHCOHTz4ddugQXdbpsz5FiqdNrwyMXH1acMuu3d/3lpr7YcfbrDPPLPsRLsPPlhvp0xZnufnfPmltT17OlPoWGttbKy1oaHOdDr+huIMy7TW9rDW1rbWlrHW1rPWzj6+fbG1tom19lxr7XgPnoRU0hGRQqlRI5KlSz9k2rTBbNv2FhkZB6ha9bLTeuludyyzZr2Ly9WJ0aPj2bx5C40a9WHOnE+58MI6J9o1bFiFnTvzmC4ZeOQReOst6NbN6dUfPuyZiTKTk+HSS50lfL3914JfTq2gi7YiUhTp6UeBP4FyWHuUihWr5RpemT1lg9sdy7p1n5OSspBFi16lWbPaJ9o0bFiJvXsPkJwMrVpBmzYnk3Dr1s56J9u2OTMqx8U5656MGlW82KdMgTVr4D//cdZ39ya/TPjq4YtIUUyY8DAuVyfc7oQTvfiCtGvXi5o1r6Jp09bUq1fxxPYKFcJJT/+LyZPh22+dhbDi4qBdO2cxrJYtT65V4nLBnXfCk08Wr2fepImzRnuTJhDv5Xu+tMShiAS8U2/MgjOvEjVw4I20anUB77zzMY0b35FrCuYbb3R68lu2wJ49sGyZs9ZJQgIcPQqDBjklnXnzYPlyp+f/ylnOqrxsmVMaqlzZ+ysl+mUPXyUdEfGmVq3qs379Ntau/ZSUlNzDMENC4JNPYP58aNHCWQP9/POdhBwfD089BQcOOIk/JqbwPfPVq3PX6q+6Ci67DHbudP6S8GYd3y8Tvko6IuJNlSqVY/36n7nuuh64XLecVgIyBn74Ae66y3l9wQXwxx+weLGTjOfPh2++cZJ+hQowcOCZe+bZQzgHDnR69NlrrwPUrw/Vqztrri9devo+T/PLhC8i4m1bt27gm2++ylXOWb8+heef78M77ySTkOD03mvVcmr4CQkwZAjUrAlpaTB7tlPayfbZZ9C9e+5e+pAh8PrrkJKSdyxDhkCVKrnXMvc0JXwRCUrp6UfZseOTXOWcvXs3c+zYIkJCEoiPd3rv8+ZB586ceP3uu9Cpk5OoAT74wHn9wAPO85yjbdLSnDp99epOCWjMmNP3x8Y674uJcco6PXt6p7TjlwlfNXwR8baJE8fmKucAjB37AC7XLSQkxJ8o1cTGOhdl83udkAAff+yUfv72N+fEkJwMzZpB7doQHe0k827d4L77oHnzk5+X3auPjYV+/WDu3LxPGp7gl6N0rLULgYUxMTEDfR2LiJROp4/sOfP2gtxyC+zbB9df7wzXzMiA9u0hu8+anAyPP+5cDK5SxRnxUzePuYW3bnUu3l58sXeGaPplD19EJJDUrw+XXAKffurU6R9+2Onth4ZCRATcfrszxDMxEVauhK5d8x6Rs2SJk/CzsrwzRNMve/giIoHCWufC7bJlztj9ffugXDmoWhV+/x3OPRc2b3b2/fyz04vfs+fk+zt1Ovk8Ksr5KyAz0zux+mXCN8bEAXGNGzf2dSgiIgVKSXFuvipXzknWv/3mnABiY6FxY9i1yxl/HxHh7I+Odt63d2/uYz39NIwfDzfd5J1Y/bKko3H4IhIoli+H//0PGjZ0Lso2beqUcrLvvp0wwZmeYfx4Z8jmc885Y/mzR+ucOhQzNhamToVGjbwTq1/28EVEAkXHjvDnn07yjo116vLZ4/fh5IgeAPcpsz706+eUembNgr///WTNvmxZSE/3TqxK+CIixXDFFU5NPueQzTNJSYHp0525eR591LlgCxAe7tzk5Q1+WdIREQkUNWo4N1YV1fLlTrLPOad+uXLOXwzeoB6+iEgx1KjhTK5WVP36ORd4Gzc+/c7bsmW9l/D9soevO21FJFD8/LMzh05Rp0Jo0sQZv59d+88WGuqMw/cGv0z4GqUjIoFi+nSnHl/UqRBmz4b//tf7q1ydSiUdEZFiyB6NU9SpEM72fcVhrCdW4fWSmJgYu2bNGl+HISJSYpKTnVk4p049++kVjDHfWGtjcm73y5KOiEiwSkiAdeuCaLZMEZFg5c1SjxK+iIgfKeyNW2dDJR0RkSDhlwlf4/BFRDzPLxO+xuGLiHieXyZ8ERHxPCV8EZEgoYQvIhIklPBFRIKEX0+tYIxJBbYW8zBRwNkM9ynK+wrb9kztCtpf0L5qwL5CfL4/ONv/H776nNLy+ylofyD9fqBkfkOB9PvJq31Da231XK2staX6Acz09vsK2/ZM7Qraf4Z9a3z939nb/z989Tml5fdT0P5A+v148v9tSXxGSfx+itI+GEo6C0vgfYVte6Z2Be0/2+/hb0rqe3jqc0rL76con+PvSuJ7BNLvp9Dt/bqkI4VjjFlj85gZT6Qw9PsJHsHQww8GM30dgAQ0/X6ChHr4IiJBQj18EZEgoYQvIhIklPBFRIKEEn4pZ4zpZIx5yRjzvjHmRl/HI4HFGNPIGDPbGPO2r2OR4lPC92PGmERjzF5jzNoc29saYzYYYzYZYx4q6BjW2vnW2oHAnUA3L4YrfsZDv5/N1tr+3o1USopG6fgxY8yVwGHg39baZse3hQI/AzcA24GvgR5AKPBEjkP0s9buPf6+ScBca+23JRS++JiHfz9vW2tvK6nYxTu0pq0fs9auMMZE59gcC2yy1m4GMMa8AXS01j4B3JLzGMYYAzwJLFGyDy6e+P1I6aKSTuCpC/x6yuvtx7flJx64HrjNGHO3NwOTgFCk348xpqoxZgZwiTFmpLeDE+9SDz/wmDy25VuXs9ZOBaZ6LxwJMEX9/fwGqKNQSqiHH3i2A/VPeV0P2OmjWCTw6PcTxJTwA8/XwHnGGJcxJhzoDizwcUwSOPT7CWJK+H7MGPM6sBI43xiz3RjT31qbAQwGlgLrgXnW2h99Gaf4J/1+JCcNyxQRCRLq4YuIBAklfBGRIKGELyISJJTwRUSChBK+iEiQUMIXEQkSSvgiIkFCCV9EJEgo4YuIBIn/ByUEw9uF13wnAAAAAElFTkSuQmCC\n", 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