{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Jupyter notebook example\n", "\n", "This toolbox contains functions related to the processing and generation of of wave signals.\n", "\n", "Before this notebook can be used, the required packages should be imported." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "**no deltares_wave_toolbox installation found in environment. Path to tools manually added\n" ] } ], "source": [ "# import default modules\n", "import os\n", "import sys\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# method to import tools\n", "try:\n", " import deltares_wave_toolbox as dwt\n", "except ImportError:\n", " print('**no deltares_wave_toolbox installation found in environment. Path to tools manually added')\n", " sys.path.insert(1, os.path.join(os.getcwd(),'..','..'))\n", " import deltares_wave_toolbox as dwt\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How to use the spectrum class\n", "\n", "The wave toolbox contains a spectrum class. This spectrum class can be created based on a frequency array and energy density array.\n", "\n", "In this example, a triangular-shaped spectrum is constructed. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "fp = 0.2\n", "\n", "f_input = [0, fp, 1]\n", "S_input = [0, 0.1, 0]\n", "\n", "f = np.linspace(0,1,100)\n", "S = np.zeros_like(f)\n", "\n", "S = np.interp(f, f_input, S_input) \n", "\n", "spec_block = dwt.Spectrum(f, S)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the spectrum the function `plot` can be used," ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spec_block.plot(xlim=[0, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next to plotting, the spectral properties can be computed. After the spectral properties are computed, their values are available in the class. This means that it is also possible to show the frequencies of the various computed periods in the figure of the wave spectrum." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Wave height:0.89 m\n", "Peak period:4.89 s\n", "Spectral period:3.92 s\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "Hm0 = spec_block.get_Hm0()\n", "Tps = spec_block.get_Tps()\n", "Tmm10 = spec_block.get_Tmm10()\n", "\n", "print('Wave height:{0:.2f} m'.format(spec_block.Hm0))\n", "print('Peak period:{0:.2f} s'.format(spec_block.Tps))\n", "print('Spectral period:{0:.2f} s'.format(spec_block.Tmm10))\n", "\n", "spec_block.plot(xlim=[0, 1])" ] }, { "cell_type": "markdown", "id": "9477da73", "metadata": {}, "source": [ "### Construct JONSWAP spectrum\n", "\n", "Besides `Spectrum` class, it is also possible to create a JONSWAP spectrum with the `create_spectrum_jonswap` function. The input of this functions is the frequency axis, peak frequency, the wave height and peak enhancement factor." ] }, { "cell_type": "code", "execution_count": 5, "id": "5f5484d7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "ff = np.linspace(0.01, 2, 1000)\n", "\n", "spec = dwt.core_wavefunctions.create_spectrum_object_jonswap(f=ff, fp=0.1, hm0=2, gammaPeak =3.3)\n", "\n", "Hm0 = spec.get_Hm0()\n", "Tps = spec.get_Tps()\n", "Tmm10 = spec.get_Tmm10()\n", "\n", "spec.plot(xlim=[0, 0.5])" ] }, { "cell_type": "markdown", "id": "a8f12039", "metadata": {}, "source": [ "Low and high frequency wave parameters can also be calculated, and are saved as an attribute within the `Spectrum` class object." ] }, { "cell_type": "code", "execution_count": 6, "id": "d785da7a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hm0_HF = 2.0 m\n", "Hm0_LF = 7.16e-05 m\n", "Tmm10_HF = 9.03 s\n", "Tmm10_LF = 20.2 s\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "d:\\checkouts\\git\\wave-toolbox\\docs\\source\\..\\..\\deltares_wave_toolbox\\spectrum.py:127: UserWarning: Cutoff frequency fmin not set, using default value of 0.45 / Tmm10\n", " warnings.warn(\n", "d:\\checkouts\\git\\wave-toolbox\\docs\\source\\..\\..\\deltares_wave_toolbox\\spectrum.py:277: UserWarning: Cutoff frequency fmin not set, using default value of 0.45 / Tmm10\n", " warnings.warn(\n", "d:\\checkouts\\git\\wave-toolbox\\docs\\source\\..\\..\\deltares_wave_toolbox\\spectrum.py:163: UserWarning: Cutoff frequency fmax not set, using default value of 0.45 / Tmm10\n", " warnings.warn(\n", "d:\\checkouts\\git\\wave-toolbox\\docs\\source\\..\\..\\deltares_wave_toolbox\\spectrum.py:313: UserWarning: Cutoff frequency fmax not set, using default value of 0.45 / Tmm10\n", " warnings.warn(\n" ] } ], "source": [ "spec.get_Hm0_HF()\n", "spec.get_Tmm10_HF()\n", "spec.get_Hm0_LF()\n", "spec.get_Tmm10_LF()\n", "\n", "print(f\"Hm0_HF = {spec.Hm0_HF:.3} m\")\n", "print(f\"Hm0_LF = {spec.Hm0_LF:.3} m\")\n", "print(f\"Tmm10_HF = {spec.Tmm10_HF:.3} s\")\n", "print(f\"Tmm10_LF = {spec.Tmm10_LF:.3} s\")" ] }, { "cell_type": "markdown", "id": "28261c0d", "metadata": {}, "source": [ "Several different wave steepness metrics are implemented as well, and are also saved as an attribute within the `Spectrum` class" ] }, { "cell_type": "code", "execution_count": 7, "id": "99fb960d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "s0p = 1.29%\n", "smm10 = 1.57%\n", "smm10_HF = 1.57%\n" ] } ], "source": [ "spec.get_s0p()\n", "spec.get_smm10()\n", "spec.get_smm10_HF()\n", "\n", "print(f\"s0p = {spec.s0p:.2%}\")\n", "print(f\"smm10 = {spec.smm10:.2%}\")\n", "print(f\"smm10_HF = {spec.smm10_HF:.2%}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the Spectrum class a time series can be generated. The Spectrum class contains a function `create_series` to create a timeseries class based on a spectrum. This function assumes that the time series can be created with random phases for the individual waves. The function `create_series` has the start and end time of the timeseries as input together with the timestep. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "timeseries = spec.create_series(10, 3600, 0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Time series class\n", "\n", "Similar to the Spectrum class the Timeseries class also contains a plot function. When the optionaly parameter plot_crossing is set to True, all the crossings with zero are shown as well." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "timeseries.plot(plot_crossing=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The class also contains some default signal parameters, like mean, variance, maximum and minimum:\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "variance: 0.24998649931725056\n", "max: 1.5631404091264942\n", "min: -1.8211262930455447\n", "mean: 1.819241171592356e-05\n" ] } ], "source": [ "print('variance:', timeseries.var())\n", "print('max:', timeseries.max())\n", "print('min:', timeseries.min())\n", "print('mean:', timeseries.mean())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The time series class contains also functions related to individual waves. These parameters are based on the individual waves determined with a zero-crossing analysis.\n", "\n", "For example, the $H_{rms}$ is available. By theory the $H_{rms}$ times the square-root of 2 is equal to the significant wave height." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hm0: 2.00\n", "Hrms x sqrt(2): 1.91\n" ] } ], "source": [ "\n", "Hrms = timeseries.get_Hrms()\n", "\n", "\n", "print('Hm0: {0:.2f}'.format(spec.get_Hm0()))\n", "print('Hrms x sqrt(2): {0:.2f}'.format(Hrms*np.sqrt(2)))" ] }, { "cell_type": "markdown", "id": "72bcee2a", "metadata": {}, "source": [ "But also information about the exceedance distribution is available, for example the exceedance wave height or the mean of the highest part of the exceedance distribution.\n", "\n", "This means that we have the third definition of the (significant) wave height." ] }, { "cell_type": "code", "execution_count": 12, "id": "a160401e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hm0: 2.00\n", "Hrms x sqrt(2): 1.91\n", "Hs: 1.94\n" ] } ], "source": [ "h2perc = timeseries.get_exceedance_waveheight(2)\n", "h10perc = timeseries.get_exceedance_waveheight(10)\n", "Hs, Ts = timeseries.highest_waves(0.33333)\n", "\n", "print('Hm0: {0:.2f}'.format(spec.get_Hm0()))\n", "print('Hrms x sqrt(2): {0:.2f}'.format(Hrms*np.sqrt(2)))\n", "print('Hs: {0:.2f}'.format(Hs))" ] }, { "cell_type": "markdown", "id": "b0c3900f", "metadata": {}, "source": [ "The time series class also contains a `get_spectrum` function to create a spectrum based on the time series." ] }, { "cell_type": "code", "execution_count": 13, "id": "c2868d9e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spec2 = timeseries.get_spectrum()\n", "spec2.plot()" ] }, { "cell_type": "markdown", "id": "5aa12646", "metadata": {}, "source": [ "To compute a bandpass filtered signal, one can use the `get_bandpassfilter` function:" ] }, { "cell_type": "code", "execution_count": 14, "id": "86459bbb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "filtered_series = timeseries.get_bandpassfilter(fmin=0,fmax=0.1)\n", "\n", "filtered_series.plot()" ] }, { "cell_type": "markdown", "id": "70b92bf7", "metadata": {}, "source": [ "### Exceedance distributions\n", "The exceedance distribution of the time series can be visualized in three different ways:\n", "- Histogram\n", "- Exceedance plot\n", "- Exceedance plot on a Rayleigh scale (this option also has the possibility to show the Raleigh and Battjes-Groenendijk distributions). \n", "\n", "When plotting the Battjes-Groenendijk distribution, the wave height is required as input parameter. Since the timeseries object does not contain a wave height, the wave height from the spectral object is used as input." ] }, { "cell_type": "code", "execution_count": 15, "id": "12d1ef31", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "timeseries.plot_hist_waveheight()\n", "timeseries.plot_exceedance_waveheight()\n", "timeseries.plot_exceedance_waveheight_Rayleigh(\n", " normalize=True, plot_BG=True, water_depth=8, cota_slope=250, hm0 = spec.Hm0\n", ")\n", "\n" ] }, { "cell_type": "markdown", "id": "71774089", "metadata": {}, "source": [ "### Fourier analysis\n", "\n", "The timeseries can be transformed to Fourier components with the function `get_fourier_comp`.\n", "\n" ] }, { "cell_type": "code", "execution_count": 16, "id": "17e2623d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\bieman\\AppData\\Local\\miniforge3\\envs\\dwtdev\\Lib\\site-packages\\matplotlib\\cbook.py:1762: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return math.isfinite(val)\n", "c:\\Users\\bieman\\AppData\\Local\\miniforge3\\envs\\dwtdev\\Lib\\site-packages\\matplotlib\\cbook.py:1398: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return np.asarray(x, float)\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, xFreq, isOdd = timeseries.get_fourier_comp()\n", "\n", "plt.figure()\n", "plt.plot(f, xFreq)" ] }, { "cell_type": "markdown", "id": "55ae14ed", "metadata": {}, "source": [ "These Fourier components can be used to construct a spectrum with the `compute_spectrum_freq_serie` functions," ] }, { "cell_type": "code", "execution_count": 17, "id": "2d685e48", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "[f, S] = dwt.core_spectral.compute_spectrum_freq_series(f, xFreq, timeseries.nt, 0.01)\n", "\n", "plt.figure()\n", "plt.plot(f,S)" ] }, { "cell_type": "markdown", "id": "c7069781", "metadata": {}, "source": [ "### Dispersion relation\n", "\n", "One of the functions in the toolbox is the dispersion relation. In the example below, the dispersion relation is used to compute the wave celerity as function of the water depth." ] }, { "cell_type": "code", "execution_count": 18, "id": "edd45ea5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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i8uTJcHV1hZOTE9avX2+wMviwYcPw448/4q233kJxcTGeeeYZ3H333d20wm8TlohzhN5YC9HR5vMdoVKp4NFqoiDRBHlhI0QvNTU1SEhIwIEDB6DT6ayyNwfHcTa7HtaKFSuQkpKCPXv2mP3enXmpqanBpEmT8PDDD2Po0KEYN26cwfGO/q5RE5YAMHZUDcdx0NXUoLG4GFqV/U8mpNFGbMgLGz5HG9kyfHqhBCIAjNkgiOM4ZMUMQdawWFxKuA2qn223HdxYaOMkNuSFja02pvznP//B1q1bce7cOYOhxeaCNpSycxISEjo9RyQSQezmBu3fHWLa6mq+w7I6xnhxRMgLGxcXF2uH0CWWLl2KpUuX8nZ/Pr3QG4gAOH36tFHnif8ecggAOgdIIMZ6cTTICxtaC4sNLedu5yiVSqPOk7RKII7wBmKsF0eDvLBpPSSWaIFPL5RABICxE8MM3kCq7D+B2PKEOT4hL2z4nDBny9BEQjsnJyfHqPMkPVq9gajsP4EY68XRIC9stFqttUMQJHx6oQQiAIqLi406T+zhWG8gxnpxNMgLG0ogbCiB2DnR0dFGnedobyDGenE0yAsbS09ebGhowLRp0xAUFIQtW7Z06R7ffPMN4uLiMGTIEADAyZMnMWnSJPj6+uoXfewufHqhBCIAjO0UdbQ3EOosZkNe2Fi6E93Z2Rl79uyBv79/l+8xf/58g02jhg4dii+++MIc4emhTnQ7Jzc316jzDN5AHGAUlrFeHA3ywoaasNjw6YUmEgqA/v37G3WewRuIAyQQY704GrbsRVRbCnFdudHncxJn6OR92pSLlVfAOXuCk/npy0xZZNKULW3r6+vx4osvIisrSz+i6cknnzTYVOr69et47LHHkJmZCT8/P3z11Vf6bW937NiBjRs3QiQSoa6uDrfddhteeOEFo2MFgOPHj2PFihUQiURoaGjAvffei4cffhj5+fm47777cPXqVYwYMQI7d+5EQ0MDBgwYgO3bt+t3Xfzss88QGxuLb7/91qR6O8NuEohOp8MHH3yAV155BS+++CKWL19u1HVXr17FJ598gj179qCsrAw6nQ7Dhw/Hiy++iNtvv53foE1E3OoNhKuvh66hAWIaukjYEK5n10H253+MPl/Tsz8qE9uu/eW5/0E09J2GuhGm/SEGTN/SdsuWLbh+/ToOHDgAANi9ezd27dplkEBSU1Oxbds2iEQijBkzBhs3bsSTTz4JoGmxwi+++AK+vr7Q6XSYPn06IiIijN6q9vz587j//vuxd+9eDB06FOXl5Rg/fjzEYjEeeughbNq0CcOHD8cnn3wCAEhOToZKpcK+ffswdOhQLFmyBMeOHTN78gDspAkrJycHt99+Oz766COT176PiorCgQMHsGPHDpSXl+PSpUuQyWQYP348duzYwVPEhmRlZRl1nlt0NILXrEboN9+g9w87IPp7e0x7xVgvjgZ5YaPRaIw6z9Qtbb29vZGZmYmDBw+isbERU6dOxcqVKw3OmThxIqRSKSQSCaKionDlyhX9sZiYGDz33HOYPHkyZsyYgcuXL+PPP/80+rm+/vprDB48GEOHDgXQtKXu3Xffre8rCQ8Px8CBA7F3714AwL59+/D444/rP6enp2PgwIFG12cKdpFApk+fjqlTp+Lrr782+VqdTofVq1frBfv4+ODrr7+GTCbjdX2a1oSFhRl1npO/PzzHj4f7iFvgevPNdp9AjPXiaJAXNhIj/38wdUvb6dOnY8WKFVi3bh0GDhyI//f//p9+l8FmWu8s6OLiol8Bt7q6Gvfccw8GDBiAAwcOYM+ePbj99ttRW1tr9HNdv369TUe9n5+fwRLr06ZNw969e6HRaFBYWIjHH38cubm5yMjIwP79+zFt2jSj6zMFu2jC2r9/P4KDg3H06FGTr33ppZcQHx9vUObt7Y3+/fvj5MmTKC8v128KwxfNbaWEIeSFjS17UQ96GA19pxt9PidhN9FWT/kWnLOnQVnz3uOdYeqWtuXl5Rg7diymTJmC8vJyPPXUU3jiiSewc+fOTuu6dOkSbty4gcmTJ+vLGhoaTJodHhISgnPnzhmUlZaWIrjVbo1Tp07FO++8gx9++AGjR49GQEAAbrnlFuzduxenT5/Ga6+9ZnR9pmAXbyDB7Wx7aQzLli1jrlbZ0NAAqVSq/4LxSXp6Ou912CLkhY0te+FkftD6RBr9H6sDHQB08j4GHeiA8YsGmrql7Zdffqk/18fHB4MGDTK6uSw0NBQuLi74/fffATQNwW7+2Vjmz5+P9PR0nDx5EkDTXuo7duwwaILr27cvIiMj8eqrr+rfNqZNm4Z169ahf//+vG20ZRdvIOamsrIS2dnZmDx5skXW12n9Kk20QF7YkBc2xjZhmbql7fjx4/Huu+/i0KFD0Ol0cHZ2xvvvvw8AuO+++1BSUoL//ve/8Pf3x7lz5/Dzzz8DAN5880289tprWLNmDd5++23s27cPwcHBiIiIwM8//4w333wToaGh+PTTT1FSUoJp06Zh2bJlePnllwEAjz76KFasWIGYmBhs2bIFr7/+OoCmf9w+/vjjbfpspk6digMHDiA8PFz/+ZVXXsHUqVNNdmksdrWl7dGjRzF27FgsW7bM6FFYLFatWoUXX3wRJ06c6HDW76pVq7Bq1Sr9Z6VSiaKiIiQnJ0Oj0WDcuHFITU1FTU0N4uPjkZmZibKyMsTGxqKoqAj5+fmIiopCXl4eKisrERERAVdXV2RkZCAoKAgKhQJpaWnw9fVFZGQkUlJS4HP5Cvr27InsU6dQ37cv4h5agJSUFKjVaiQkJOD06dNQKpWIi4tDTk4OiouLER0dDaVSidzcXP0Q0KysLISFhUEulyM9PR0BAQEIDw9Hamoq5HI5YmJikJycDFdXV8THx5v8TGq1GpcvXzbqmdzd3REXF4cjR45AKpUiISEBKSkpKCwsxIwZM+zqmczxe5LJZLhy5Yqgnik2NhaTJk3Cnj174ObmBpFIBK1WCycnJ+h0Omi1Wv0wW41GA4lEArFYjMbGRkgkEkgkEjQ0NEAsFsPJyQn19fUQiURwdnZGQ0MDOI7T9y1wHAdnZ2doNBr99rk6nQ4ajQbOzs7gOA4ajQZSqRQikUhfR3N9YrEYUqkUDQ0N+jraq6+xsVGfNLRarcWfqbm+7jyTVCqFRqNp95mqq6tx1113YdasWejZs6c+4TR/9+666652t7SlBPIPcnJyEB0djVdffdXkTvSu7om+a9cuzJgxw6hzL0+6Aw1/TyTzfepJ+C1ZYnJ9toIpXhwJIXoRwp7oarUarq6uFq9X6HTmhfZENxNVVVWYOnUqZs+ebbERWIBpnaJiectoD+0/RoLYG7bcWcwn5IWNsZ3ojgafXsj436jVakybNg39+vXTTy6yFDExMUafK2k1XFBn5wnEFC+OBHlhY423HluAFlPkGY1Gg9mzZ8PFxQVbt27Vd8ZlZWWh2gJLhiQnJxt9rsRLrv9Zq7TvBGKKF0eCvLAxdRKxo8CnF4dKIFVVVaiqqjIo0+l0mDdvHpRKJXbu3Gkw6mrRokX466+/eI/LlHbb1m8g9t6ERe3ZbMgLG76Gqto6fHpxmGG8NTU16NOnD0QiEXJycuDu7g4AWLJkCb777js888wzbZYnsNTOb/+cyNgRjpRATPHiSAjRS3M7e/PoIGtAW9qy6cxL86z5rvSV2EUCWbFiBT744AO9iPfeew+fffYZRo0ahR9++AFA00qdgYGB+iF1QNOw288++wwA8MEHH1gneDQ1SUyZMsWocx0pgZjixZEQohc3NzcEBQVh48aNmDFjBtzc3Cweg6kzvB2F9rzodDoUFRVh9erVCAgI6FJfiV0kkBdeeKHT5ZFdXFxw9uxZgzK5XA4hjGI2dlYrAEj+MQqL4zi7fXU3xYsjIVQvq1evxkMPPYSvvvrKKm8hjY2N1JHOoCMvEokEgwcPxvz581FRUQGZTGbSve0igdg6/xx33RGS1kM4tVroamog8fAwf1ACwBQvjoRQvYSGhmLLli3YsGEDnJycLLIMUGsogbBpz0vzhEORSISamhqIRCIEBQWZdG9KIAIgNTXVYG+BjmjdhAUA2ooKu00gpnhxJITsxd/fH/feey/27t0LpVJp0bfjgoIC9OrVy2L12QqdeeE4DlKpFFOmTNEvNGkslEAEQE1NjdHnSry9DT5rKyqAkBBzhyQITPHiSAjdS2hoKB599FGoVCqLbjN76NAhTJw40WL12QqdeRGLxfDw8GAuKtsZlEAEgEmjsHr2BJycIPX2bvpZAH04fCHE0UZCwBa8ODs7o2fPnhatc9KkSfD19bVonbYAn14cah6IUMnMzDT6XLG7OyLPpKPfsWT02bUTbh0s9mjrmOLFkSAvbMgLGz690BuIACgrKzP6XHsdccXCFC+OBHlhQ17Y8OmF3kAEQGxsrLVDECTkhQ15YUNe2PDphRKIACgqKrJ2CIKEvLAhL2zICxs+vVACEQD5+fnWDkGQkBc25IUNeWHDpxfqAxEAUVFRJp2v/P57KHfugvbGDTgFBSH0yy94isy6mOrFUSAvbMgLGz69UAIRAGq12qTzG0tKUPf3KsGcQJe1MAemenEUyAsb8sKGTy/UhCUALl++bNL50lbj67UVFeYORzCY6sVRIC9syAsbPr1QAhEAERERJp0v8W5JIDqVCrq/VyG2N0z14iiQFzbkhQ2fXiiBCABTNwiS+voYfNaWl5szHMFAGyexIS9syAsbPr1QAhEAGRkZJp0v/ceyBBo7nUBlqhdHgbywIS9s+PRCCUQAmLyE8j8TSKl9JhBTvTgK5IUNeWHDpxdKIAJAoVCYdL7Y3R2iVhu/aMpKzR2SIDDVi6NAXtiQFzZ8eqEEIgDS0tJMvqb1W4i9NmF1xYsjQF7YkBc2fHqhBCIAurLUstSnpSNda6cJhJbmZkNe2JAXNnx6oQQiACIjI02+xuANxE77QLrixREgL2zICxs+vVACEQApKSkmXyP1s/8mrK54cQTICxvywoZPL7SUiQBwd3c3/Zr4eIjc3CD18YVzeBgPUVmfrnhxBMgLG/LChk8vIo6z4z1RLUxwcDDy8vJMvk6lUsHDw4OHiGwb8sKGvLAhL2y666Wjv2vUhCUAjhw5Yu0QBAl5YUNe2JAXNnx6oQQiAKRSaklkQV7YkBc25IUNn16oCcuMUBOWeSEvbMgLG/LChpqwjECn0+H999+Hq6srli9fbtK1jY2NWL58OXr37g1/f3/ExMRg69at/ATKoKujJDTl5ajLyED1z7+g/soVM0dlfWhUDRvywoa8sKFRWJ2Qk5ODBQsW4OrVq6ivrzf5+nnz5uHYsWM4fPgwBgwYgO3bt+P++++HSqXCI488wkPEhnR1w5ec2feisaAAAOD37DNwWbzYnGFZHdogiA15YUNe2NCGUp0wffp0TJ06FV9//bXJ1/7000/YunUr3nrrLQwYMAAAMHv2bNx33314/vnnoVQqzRxtWxISErp0nbTVGjeNRUXmCkcwdNWLvUNe2JAXNnx6sYsEsn//fjz33HMQi01/nK+++goAMGPGDIPymTNnorKyEjt27DBHiB1y+vTpLl0nDfDX/6wpLjFTNMKhq17sHfLChryw4dOLXTRhBQcHd/naY8eOISQkBN7e3gblgwcP1h9fuHBht+Jrj4MZRXB3lqK4IAcoMWHNfokL4NMXTgEtbyCa4mKg/BKgNaEJT+YHePgbljWqgQoTt8D0jgCc/rFpjaoEqDVhleC/n6k1SqXS7p4JQLefSalU2t0zAej2M+lbC+zomfR045n4bEWxiwTSVWpqalBYWIhbbrmlzbHAwEAAQHZ2Nm/1v777HIqr6vGs9BBw8SHjL/S7GViSAWlAgL6osbgY2DodKD1v/H0SlgFjlxuWVVwGPhlo/D0A4IlzgH+UYdmJT4DkJOPv8fcztSYuLg7YOs6unglAt39PcXFxdvdMALr9THFxcU1ldvRMerrxTHovPODQCaSyshIAIGu1t0YzzWXN57BYtWoVVq1apf+sVCqhUqmQnJwMjUaDcePGITU1FTU1NYiPj0dmZibKysoQGxuLK9cLUFxleoc/AGh1OuzbvRteBfloTiHa8nJoNRwkJtynqKgI6pwcpKenIyAgAOHh4cj45QjGmRjPkSNH0H+MF4qKipCfn4+oqCj0KCmBf+eX6ml+JqlUioSEBKSkpCA9PR3Puers6pnUajXu0nbvmcrLy+Faddmunskcv6eff/4Zs2bNsqtnMsfvyc3NDenp6VCr1UhISMDp06ehVCoRFxeHnJwcFBcXIzo6GkqlErm5uejfvz8AICsrC2FhHS+T5NAJpLv861//wr/+9S/95+DgYHh4eGDKlCn6svHjx+t/Hj16tP7nWicvuDndQF2j1uR6JWIxpk+fjtqQUOR+u1FfLuJ0Jt1HoVAA4eEIDw9vKRs3DsgyLZ5x48YB/sEIDg5GbGxsU+F1f+CC8fdofqZmJk2aBLVaDUmeaf1aQn8mAMDHL5sUyz+faffu3U3x2dEzAd3/PeXn56Nv37529Uzm+D3t3r3b4Pluu+02w5hbERMTo//ZmFV8HTqBeHl5AQBqa2vbHGsuaz7H3NwU4ImMpEkorFJj848STDozGrq/p3S6OUnwaeJQBHm3fTMC0NS+CcApqJdBsXrQ/0E2aIDxQcj82pZ5RzS9QpuCd0TbsuFPAFGzjb/H38/UmujoaGD0btPboVnxCeSZAAD3d++ZoqOjAW+FXT0TgG7/nqKjo5t+sKNn0tONZ9J74QGHTiDu7u4IDAxEYWFhm2PNZX37MjrXzIRYLEKQ3A0TIhUI6xuFf39/pulAA/DMz43YtuhmiMWidq+X+vkBTk5AY2PTZUoxZP9sOzUVJ9e27a9dwcO/bYeiiSiVSiA8pvuxCOiZALA7bE2gyUu4XT0TgG7/nvSdxXb0THq68Ux8dqLbxTDe7nDrrbciLy8PFRUVBuVnzjT9MbfE2PLc3FzcGxuCB+Na2hvTcivw/cmOl0URicVw+ruzH4B+UqG9kJuba+0QBAl5YUNe2PDpxaESSFVVFaqqqgzKFi5cCI7jsGvXLoPynTt3wsvLC3fffTfvcTV3Wr00ORJBcjd9+XsHs1DboOnwWqdeLc1Yjfn5/ARoJZq9EIaQFzbkhQ2fXhwmgdTU1KBPnz6IiIhATU2NvnzChAm4//778dprr+HChaZequ+//x7fffcd3nvvPcjlcovFKHOW4tUpLX0YJdX12Jja8b8e9P0gUim4hgY+wyMIgjDALhLIihUroFAoMGvWLADAe++9Z/AZaFrSODAwEL169YKTk5PB9Rs2bMDChQtx5513wt/fH2+++SY2bdpkkXWwgKbhcs3cMVCBIaFy/ee1yVdQ19D+SC2/J59E319+RmT6aQStep/PMC1Oay9EC+SFDXlhw6cXWs7djHR1OffTp08bDJ87drEU89b9qf+cNC0K80eFmyFC2+KfXogmyAsb8sKmu14cYjl3W+afzWRj+vlicHDL8OF1KVeh1Tlenrdk86EtQV7YkBc2fHqhBCIA0tPTDT6LRCI8OqaP/nNueS2OXCi2dFhW559eiCbICxvywoZPL5RABEBAqzWtmrlzoAK9vFoWVPu2k850e4TlhSAv7UFe2PDphRKIAGi99EEzUokYia3mhRzPLkNOWU2b8wCgYut3KHjhReTMeQBln63lK0yLw/JCkJf2IC9s+PRCCUQApKamMsvvGx4CJ0nLTPStJ64zz1MlJ6Ny927UnToF9XkTVg8VOO15cXTICxvywoZPL5RABEB7nVy+Hi6YFNWy2Nn3f11Ho7btgonOoaH6nxuuXTN7fNaCOkXZkBc25IWN1TvRJRJTFjUmTKWjIXZzbmlJDmWqBhzNarupjFOYYQKxl5HZNCSTDXlhQ17Y8OnFqARiL3+QhEpycnK7x0b28TFY3mRbWttmLOfQlr4SrrYW2rIy8wZoJTry4siQFzbkhQ2fXoxKICJR+yvCEt3H1dW13WNisQj3DGvZsveXzBKUqwyXmHZu9QYCAA12sqhcR14cGfLChryw4dML9YEIgPj4+A6P3z20JYFodBz2pBuuuusUGNi0rPvfNOTkmDU+a9GZF0eFvLAhL2z49GLxBNLRFrGOSmevmKE+MtwS3lP/eecpw1V3RVKpwVtI/eUr5g3QSlCTBBvywoa8sLF6E5Y5OXr0KObPn4+vv/7a0lULFo2m4yXbAWDm0CD9z2fyKnGpRGVw3KVPyy5m9Vcumy84K2KMF0eEvLAhL2z49MJrAvnhhx+wcuVKbN26FUVFRQCA6dOn45tvvoFMJsPbb7/NZ/U2w7hx4zo9Z/KgQDhLW35du08bvoU4R7QsfdJgJ28gxnhxRMgLG/LChk8vvCWQZ599Fvfccw9efPFFPPDAAwgODsaYMWPw+eefo7q6Gvfddx8uXbrEV/U2hTETfbzcnHB7/5YtLXefLjAYHdf6DaQxPx86tdq8QVoBmhjGhrywIS9sbHIi4fnz51FUVASVSoUTJ07gjTfeQG1tLRYvXgx/f3+MGDECOXbS2dtdWm9w1REzhrTsPnjtRi1OXVfqP7u0egMBx6Hh6lVzhWc1jPXiaJAXNuSFDZ9epHzdOCIiAv7+Tf9iHjZsGIYNG4aXX34ZFy5cwI4dO6BUKvHss8/yVb1NYewoidv6+8PTVYpqdVOb5p7TBRga6g0AcO7dG+4Jt8KlTwRcIvpAagcLy9GoGjbkhQ15YSPYUVg6nQ5ff/01zjPWXxKLxVAzmlEGDBiAV199Fe+99x6Cg4PbHHdEMjMzjTrP1UmCOwe2LG2y70whNH8vbSJ2c0Po2rUIeOHfkN9zD6Q9e7Z3G5vBWC+OBnlhQ17Y8OmlWwlELBZj0aJFGDRoEHx9fTF9+nT85z//we+//47Fixdj6dKlNIvdCMpMmDk+PaZlNFaZqh6pV27wEZIgMMWLI0Fe2JAXNnx66XYTlq+vL+69917k5+fj2LFj2Lt3L0QiEVxdXeHp6Yn09HS8++67GDFiBK2p1Q6xsbFGnxvXxwd+ni4orW6ajb77dD5G9/PlKzSrYooXR4K8sCEvbPj00u1OdIVCgffffx/bt29HcXExMjIy8PHHH2Pq1KkQi8X49ddfMWbMGMjlckyaNAnvvPMOfv/9d2i1WnPEbxc0D3E2BolYhCmDAvWff8woQr3GPl2a4sWRIC9syAsbPr10O4H8+uuvBm8WAwYMwOLFi7F161YUFBQgKysLa9euxfTp03HhwgW88sorGD16NORyOZ5++unuVm8X5Ofnd35SK6ZGt4zGqlZrDFbo1dXWoi49HRXbtqHexkdimerFUSAvbMgLGz69dLsJSyaTdXi8X79+6NevHx555BEAwNWrV3H06FEkJyejtLTt0uSOSFRUlEnnDw2VI9jbDXkVdQCAPekFmBSlAKfTIXv0GOhqawEAAa+8Apfevc0er6Uw1YujQF7YkBc2fHrhbRhve/Tu3Ru9e/fGQw89ZOmqBQtrtFpHiEQiTI3uhU+PNi1ZcuRCMVT1Gni4SOHcty/UZ84AAOovZpk9VktiqhdHgbywIS9s+PTC20TCd955B0899RR27doFpVLJVzV2weXLpq9dNa1VM5a6UYfD54sBAK79+7eUn7/Q/eCsSFe8OALkhQ15YcOnF94SyIULF/DFF1/g7rvvhp+fH2JjY/HCCy/g4MGDqKur46tamyQiIqLzk/5BpMITNwV46D83L/Hu2up1VX3xInQNDd0P0Ep0xYsjQF7YkBc2fHrhLYFMmDABc+fOxa5du7Bs2TL07NkTH3/8Me688054e3vj1ltvRVJSEo4fP+7wI7K6suGLSCQyeAs5drEUN2oa4DpwYMtJjY2ot+HJVbRBEBvywoa8sLHJDaUOHz6ML7/8ElOnTsWrr76KQ4cOQalU4tdff8XixYtx4sQJrFixAgkJCQgLC8Px48e7Vd+WLVsQExMDf39/9O7dG0lJSUYvY3zu3Dncc889CA0Nhb+/P6KiovDmm2+i9u/OaL7JyMjo0nXTolsmFWp0HA6cLYTrTf0garW5VN25c92Oz1p01Yu9Q17YkBc2fHrhrROdtQ2uVCrFqFGjMGrUKNx8882QyWTw9/fHxo0bMXPmTKSlpSE8PNzkutauXYslS5Zg27ZtmDVrFjIyMjB+/HhkZ2dj48aNHV6bnp6OkSNHYuTIkUhLS4O/vz+OHj2KadOm4eeff8bPP//M+5a+QUFBnZ/EINRHhiGhcpy6pgTQtDbW3LgwuAwYoO9IV5+13QTSVS/2DnlhQ17Y8OmFtzcQjUaDL7/8st3jjz32GH755RdMnDgRGzZswLvvvov333/f5HrKy8uxdOlSJCYmYtasWQCahq0lJSVh06ZN+OWXXzq8/qOPPkJdXR0++ugj/eKPt912Gx577DEcPXoUv//+u8kxmYpCoej8pHaY3qoZ68+cG8irqIXbwFb9IOfOdis2a9IdL/YMeWFDXtjw6YW3BPLGG2/g+eefx5w5c3D2LPuPmE6n0//8yCOPoLy83OR6tm/fjurqasycOdOgvPnzunXrOry+eZJNnz59DMqbO56uX79uckymkpaW1uVr74ruBYm45Q1pT3oBXAcO0n+uv3wFWpVtLnPdHS/2DHlhQ17Y8OmFtwTSp08f7N+/Hz/99BNiYmLQt29fPPLII1i9ejU2btyIZ555BiUlJQbX+Pj4mFzPsWPHAACDBw82KPfz84NCodAfb4+Bf3c6X7x40aC8+XNkZKTJMZmKr2/X17Ly9XDB6L4t1+86lQ/XwS0JBDod1GfSuxOe1eiOF3uGvLAhL2z49MLrlrbx8fHIyMjAggULkJeXh3Xr1uGZZ57BvHnz8Ouvv+Lzzz8HAJSWlmLDhg0Qi00PJzs7GwAQGBjY5lhgYCCuX7+O+vr6dq//97//jQEDBuCpp55Cbm4utFotDhw4gC+++AKPPfYYoqOjTY7JVLqbpGYOaWnjvFiswmU3X0jkcn1Z7V8nu3V/a2GJ5G2LkBc25IUNn154TSAAEBAQgK+++gplZWU4ePAgNm/ejNTUVPz111/6zp0ff/wRCxYsaLepqyMqKyshEong5ubW5phMJgPHcaiqqmr3en9/fxw5cgQ9evRAeHg4ZDIZZs2ahRdffBFr1641OZ6ukJKS0q3rJ0YFQObcsh7ZzlMFcBs6FCIXF8hiY+HUq1cHVwuX7nqxV8gLG/LChk8vFlvKxMPDAxMmTGAeu+eee3DhwgVMmTLFUuHoSU9Px+TJkzF48GDk5uaiV69eOHLkCBITE3H27Fls3ry53WXoV61ahVWrVuk/K5VKqFQqJCcnQ6PRYNy4cUhNTUVNTQ3i4+ORmZmJsrIyxMbGoqioCPn5+YiKikJJSQl2796NiIgIuLq6IiMjA0FBQVAoFEhLS4Ovry8iIyORkpICd3d3xMXF4ciRI5BKpUhISEBKSgqiejTiRFnTvwe2/XEF8554AsoH5iCrvBzR0dHIOX0aubm56P/3TPWsrCyEhYVBLpcjPT0dAQEBCA8PR2pqKuRyOWJiYpCcnAxXV1fEx8eb/ExqtRqXL1/u1jOlp6cjISEBp0+fhlKpRFxcHHJyclBcXIzo6GgolUqbeya1Wt3tZ6qvr8euXbvs6pnM8XtKT0+3u2cyx+9JLBbj4MGDXX6mjhBxRuz4JJFIBDvZb/jw4UhLS0NtbW2bt5ChQ4fi1KlTUKvVcHFxYV4/YsQInDt3DteuXTPog/n444/x5JNP4vPPP8ejjz5qVCzBwcHIy8sz+RlUKhU8PDw6P7EDfs0uw9yv/tB//vqh4Rjb379b97Q25vBij5AXNuSFTXe9dPR3jfcmLL7p168fAKCwsLDNscLCQoSEhLSbPFQqFf78808MGDCgTQf+mDFjAAA//fSTmSNuy5EjR7p9j5ERPlD0aJlx+sNJ21/a2hxe7BHywoa8sOHTi1EJhOM4wQ6Ru/XWWwEAZ/6eONdMaWkpioqKkJCQ0O61zTPNWRMFmzv0VSqVuUJtF6m0+y2JErEIM1p1ph/MKEJlbWO372tNzOHFHiEvbMgLGz69GJVATp06hccffxyTJ0/GiRMneAumK8yePRuenp7YuXOnQXnz54cfflhfVlVVZdCh7u/vj5CQEGRmZqKystLg+uYJhMOGDeMrdD0dJTlTuGdYsP7nBo0Oe880LbCoq6uD6tcUcI22lVDM5cXeIC9syAsbPr0YlUCio6Nx4sQJLF68GE888YSgEomPjw9WrlyJTZs24YcffgAAnD9/HsuWLUNiYiLGjh0LAKipqUGfPn0QERGBmpqWiXX/93//B5VKhUceeQQ3btwA0JQ8li1bhsDAQDz55JO8P4O5Rkn09ffAkFC5/vOPR88id958XLxlBK4/8ojNrYtFo2rYkBc25IUNn15M6gOZNm2aIBPJ4sWLsWHDBiQlJcHf3x+TJ0/GokWLsH79ev05UqkUgYGB6NWrF5xaLTY4d+5cHDhwADdu3ECfPn0gl8sxe/Zs3HHHHfjjjz8QEBDAe/zm3PCl9VvI7zd0qD13Tv/mUWOBZVnMCW0QxIa8sCEvbPj0YtQorPbYs2cP3njjDfj5+SEpKQm33HKLOWOzObo6CkupVELeauJfd6hSN+KWtw9D3di0TMxXWVvQ68JfAADZ8OEI+3aDWeqxBOb0Yk+QFzbkhU13vfA2CmvatGlIS0vD448/jieeeAJ33nkn/vzzz+7c0iE5ffq02e7Vw9UJkwe1zMo/7Baq/7n21Cloq6vNVhffmNOLPUFe2JAXNnx6McswXkok3cPcW/7eP7wlaRzreVPLAY0GNSm/mbUuPqGtkNmQFzbkhQ2fXsw6D+SfiaS5H4HomLi4OLPeb3i4NyL83AEA+R5+KJe3TChUHT1q1rr4xNxe7AXywoa8sOHTCy8TCZsTyRNPPIElS5ZQIumEnJwcs95PJBJhzi0tbyHHe/bX/6w6dgxcq2X0hYy5vdgL5IUNeWHDpxdeZ6JTIjGO4uJis9/znmHBcJY2/Xr/UAzQl2tv3IC6C4tWWgM+vNgD5IUNeWHDpxeLLGXCSiSpqamWqNom4GPJeLnMGXf93Zl+zrcP6qQty7lUH7aNJR8ssZS+LUJe2JAXNnx6sehaWK0TyZNPPolJkyZRIgF/nVzzRoUDADRiKf4MaHkLqTp4EN0YvW0xqFOUDXlhQ17Y2EwnurE0J5IlS5ZQIgGQm5vLy31jQuQYHOwFADjeq2XHxsZr11CfmclLneaELy+2DnlhQ17Y8OnFqqvxTps2DevXr8f169cRHx+PadOmWTMcq9G8/j4fzBsZDgBIC4iEWuIEnZsMPaZOhcgGFp7j04stQ17YkBc2fHqxWgL56aefcOeddyI6OhqZmZlQKBQYNWqUtcKxW6ZGB8LXwxn1UmcsHbMEHy5ZjaD/rITL38vgEwRBdBWLJpDGxkasX78e0dHRuOOOO3Dw4EEMGjQI69evR05ODl588UVLhiMYsrKyeLu3i1SCuXFNu4pdkgfjp0sVuFzK/xL15oBPL7YMeWFDXtjw6cUiCeTGjRt4++23ERYWhoULF+LcuXO444478NNPP+H06dOYN2+ewQKHjkZn20Z2l8QRYXCWtPyqvzx+ldf6zAXfXmwV8sKGvLDh0wuvCSQ7OxtPPPEEQkND8dprr0GpVOoTyP79+zFu3Dg+q7cZ+F4Azs/TBTOG9NJ/3nEyDyXVwl+5lBbGY0Ne2JAXNnx64S2BVFdX49Zbb8XatWvh7u6OZcuWITc3F59//jkGDBjQ+Q0ciPT0dN7reOzWPvqfGzQ6bPnxNMrXr0dNqnAndlrCiy1CXtiQFzZ8euFtKI6npye++eYbfPzxx9i+fTucnZ35qsrmscSeI339PTF+gD8OXyjBkvQdGLf7D5RwOnjcdhvc40bwXn9XsIQXW4S8sCEvbPj0wmsT1sSJEzFs2DCcs7Gd8CxNeHi4RepZnBABAKhw8YSEa1oPS5WcjMb8fIvUbyqW8mJrkBc25IUNn15470R/9dVX4erqync1No2lJlHGhvfEiN49cTBsBLSiv3/1HIeKbdstUr+pOPLk0o4gL2zICxs+vfCeQMRiMW6++Wa+q7FpLNn599Tt/VDu5oXfFVH6MuX334NraLBYDMZCnaJsyAsb8sLGJjvRCeOJiYmxWF3xfX0wJFSO/b1H6su05eWoOvSTxWIwFkt6sSXICxvywoZPL5RABEBycrLF6hKJRHhmXD+k+/VFnruvvvzGunWCW2DRkl5sCfLChryw4dNLtxLI999/j2nTpuG7776DWi38eQVCxdJ9RAk3+WFYuA929b1VX6Y+fx61f56waBydQX1nbMgLG/LChk8v3Uog99xzD1566SUcP34cN998M+bPn49Dhw5BZyM73gmF+Ph4i9YnEonw3MT+OBwSi0pnmb78xrp1Fo2jMyztxVYgL2zICxs+vXS7CWvkyJFYs2YNsrOzce+992L9+vXo168fnn32WZw4Iax/0QoVa7x6j4zwwfDIXtjXu+XLpUpOhjrrosVjaQ9qkmBDXtiQFzaCbcJqjUQiwZQpU7B582acOXMGw4YNw2uvvYabb74ZSUlJuHTpkrmqsjs0Go1V6n3hjkjs7TMK9eKW+aRln3xilVhYWMuL0CEvbMgLGz69iDiee05LSkqwdetWbNq0CQCQmJiI+++/H/7+/nxWaxWCg4ORl5dn8nUqlQoeHh48RNQ5z2w9hYBvP8XMy8cBANwtIzHgq7UQCWBxS2t6ETLkhQ15YdNdLx39XeN9FJa/vz+efvpp/PHHH9i4cSNu3LiBW2+9FXfccQe+/fZb1NTU8B2C4LHmBKjnJ/bH7v7jkKq4Gf/v1qfwxuhHAYFsNkUTw9iQFzbkhY1NTyRsTb9+/bB8+XJkZmYiKSkJJ06cQFRUFObMmYN9+/ZBq9V2+d5btmxBTEwM/P390bt3byQlJZn06paamoqpU6ciJCQE3t7e6Nu3L+bPn4+SkpIux2Qs1kyiIT1lmDkhGklxDyOzZxhSr9zA/84VWS2e1tA/LtiQFzbkhQ2vXjgro9FouAMHDnCJiYlceHg498QTT3Cpqakm3eOzzz7jJBIJt2PHDo7jOO7cuXOcQqHgEhMTjbp++/btnJeXF/f9999zWq2W02q13MqVKzkA3KlTp4yOIygoyKS4myktLe3SdeaiWt3Ixb71Exf2wj4u7IV93Kh3jnA19Y1WjYnjrO9FqJAXNuSFTXe9dPR3zeoTCSUSCe68805s3LgRGRkZGDVqFNaZMJy0vLwcS5cuRWJiImbNmgUAiIqKQlJSEjZt2oRffvmlw+uLiorw0EMP4a233sLdd98NsVgMsViMpUuXYsKECZDJZB1ebw4yMzN5r6MjPFykeOGOSP3nfGUdPjpi/UEP1vYiVMgLG/LChk8vvCUQjuPwv//9jzn6atu2bcxrZDIZEhMTsXbtWqPr2b59O6qrqzFz5kyD8ubPnSWjTz/9FHV1dXjwwQfbHDt06BBuuukmo2PpKmVlZbzX0RmzhgRhWJh30weOQ9bmHbiw4BFwjY1Wi0kIXoQIeWFDXtjw6YW3BPLBBx9g5syZiI2NbTNLXavVYtmyZWap59ixYwCAwYMHG5T7+flBoVDoj7fHnj170LdvX3h5eZklnq4QGxtrtbqbEYtFeHvmQASoK/Fh8kf494mNQGoKyr/daLWYhOBFiJAXNuSFDZ9eeEsg169fx0cffYQZM2a0mUo/Z84cSCQSs0w0zM7OBgAEBga2ORYYGIjr16+jvr6eea1Wq8X58+ehUChw8OBBJCQkICAgAL1798bjjz9ukQ50oKkZTQhEKnpg5vhBcNG2rMxb9N/VaCy2jId/IhQvQoO8sCEvbPj0wmsfyGOPPYb169czjz3//PPYsGFDt+uorKyESCSCm5tbm2MymQwcx6Gqqop5bUVFBRoaGnDmzBksWrQIK1asQH5+PjZt2oQ9e/YgPj4eSqWy2zF2Rr6ANnR6euIAfD96jv6zpL4OV9982yqxCMmLkCAvbMgLGz698DbgPy8vD2q1ut2FvGQymdVnjtbV1QFoSiQff/wx4uLiAACjRo3CO++8g/nz5+PDDz/E8uXLmdevWrUKq1at0n9WKpVQqVRITk6GRqPBuHHjkJqaipqaGsTHxyMzMxNlZWWIjY1FUVER8vPzERUVBScnJ+zevRsRERFwdXVFRkYGgoKCoFAokJaWBl9fX0RGRiIlJQXu7u6Ii4vDkSNHIJVKkZCQgJSUFKjVaiQkJOD06dNQKpWIi4tDTk4OiouLER0dDaVSidzcXPTv3x8AkJWVhbCwMMjlcqSnpyMgIADh4eFITU1F7Oi++PnsUNyedxIAoD18CEdW/geq/jcZ/UxqtRqXL1/u1jMVFhZCqVSa5ZnkcjliYmKQnJwMV1dXxMfHm/x7MsczmeP35O/vj127dtnVM5nj91RYWIhLly7Z1TOZ4/cUHh6OgwcPdvmZOqRb47s6YMOGDdyUKVO4ysrKds9ZtGhRt+uJjY3lAHC1tbVtjg0ZMoQDwKnVaua1ZWVlHAAOAFdQUGBwrLCwkAPAjRw50uhYujqM9+zZs126jk/e+uYY92dUDHe+fyR3vn8kd2pEPKepqrJoDEL0IgTICxvywqa7XqwyjDcxMRFarRYDBw7Ep59+CpVKZXC8srISV69e7XY9/fr1AwAUFha2OVZYWIiQkBC4uLgwr+3Zsyfc3d0BAD4+PgbH/Pz8AAClpaXdjrEzLl++zHsdpvLsfSOxI+5u/WcXZTkyX3/TojEI0YsQIC9syAsbPr3wlkDEYjG2b9+OwYMHY8mSJfDx8cHIkSPx4IMPYu7cuejfvz/uueeebtdz661Ne1qcOXPGoLy0tBRFRUVISEho91qRSIRbbrkFANp0mDcPfbPEml0RERG812Eq7i5SzH71cZz0bxnGLP7fXpQdOmyxGIToRQiQFzbkhQ2fXnjtRPfw8MC+ffuwYcMGDB48GCdOnMCmTZtw+PBhvPzyy3j00Ue7Xcfs2bPh6emJnTt3GpQ3f3744Yf1ZVVVVW061OfNmwcAOHzY8A9j8wTEyZMndzvGzhDqRjjDwn1QuWQpaqUtb3DXXnzZYqOyhOrF2pAXNuSFDa9eutU4ZiL19fVccXExp9PpzHrfTz/91GApk4yMjDZLmahUKs7Hx4fz9fXlVCqVvlyj0XC33XYbFxwczJ08eZLjOI5LT0/nwsPDuUGDBnHV1dVGx9HVPpBdu3Z16TpL0KjRcm8sWaHvCznfP5L74+5ETqfV8l63kL1YE/LChryw6a4XwSxl4uzsDH9/f4hEIrPed/HixdiwYQOSkpLg7++PyZMnY9GiRQZDiKVSKQIDA9GrVy84tVqqXCKRYN++fZgzZw6mT58OuVyOu+66C9OnT8fx48ctsjx0UFAQ73V0FalEjIfffBK/hw7Rl10oV+PcFf77hoTsxZqQFzbkhQ2fXnjfD8SR6Op+IHl5eQgODuYhIvNx9K/L0D06Dz+Gj8D2fmMRKJdhz1Oj4evBHqBgDmzBizUgL2zIC5vuerHqfiBE56SlpVk7hE65bVgEziR9gm03jQMnEqOgUo0nNp5Eg0bHW5224MUakBc25IUNn14ogQgAX19fa4dgFE9PGYxxkS2j0v7MuYFXd50FXy+xtuLF0pAXNuSFDZ9eKIEIgMjIyM5PEgBisQgf3B+DCD93fdn+37Kx/9//B05n/jcRW/FiacgLG/LChk8vlEAEQEpKirVDMJoerk74cv5weMucEKgqw6pjqxGxdyNS/p1k9rpsyYslIS9syAsbPr1QAhEAzbPhbYXevu744sFhePXEBoSqmuaE+Ozbhj9WfmzWemzNi6UgL2zICxs+vVACEQDNizjaErG9feD08uuokzjry3qsW4OTX39ntjps0YslIC9syAsbPr1QAhEAR44csXYIXWLi9ATkPP06NKKWr5HTyjdw5ru9Zrm/rXrhG/LChryw4dMLJRABIJXytqo+78xadDfOz3tW/1nK6SBKeglnf/hft+9ty174hLywIS9s+PRCEwnNSFcnEqpUKovMeOcLjuOw+aX3MXTXV/qyBrEUorf+g8Gz7ujyfW3dC1+QFzbkhU13vdBEQoFj66NHRCIRHnjnOZyaMk9f5qzTAK8+j7SNOzu4smNs3QtfkBc25IUNjcKyc9RqtbVD6DYikQhz3nsR6Xc8oC9z0mnh+var+H3tpi7d0x688AF5YUNe2PDphRKIAOhozxJbQiQS4b4PXsXZux7Ul0k4HTb+koltaddNvp+9eDE35IUNeWHDpxdKIALg9OnT1g7BbIhEIsz+z0u4cN9iAMDm/uOxPzwO//7+DP57ONukZU/syYs5IS9syAsbPr3QsAUBoFQqrR2CWRGJRJiV9Ax2RPTDxvMtS5x8cPgicm/U4P9mDoKrk6TT+9ibF3NBXtiQFzZ8eqFRWGakq6OwioqKoFAoeIjI+vx4rgjPbD2F+lar9t7lUoFXHhyDwL5hHV5rz166A3lhQ17YdNcLjcISODk5OdYOgTfuGKjA5kdHoKd704x1/5obmLvzQ+TMvhenDxzt8Fp79tIdyAsb8sKGTy+UQARAcXGxtUPglWFhPbF7STwGezth+R/r4NVQA3ldFSTPLcHBN/4LXTsr+dq7l65CXtiQFzZ8eqEEIgCio6OtHQLvhPSUYeOikWgIamm2knI6hG7+DAfueRiVJeVtrnEEL12BvLAhL2z49EIJRAA4SudfD7knpn6/DhdnPgQtRPryiPN/4Mzk6Thz8FeD8x3Fi6mQFzbkhQ2fXiiBCIDc3Fxrh2AxJBIxpr/zb6j+70NUurYsr+CrKof42UXYv/QtNNY3AHAsL6ZAXtiQFzZ8eqEEIgD69+9v7RAsTtysiQjd8QMuh96sL5NwOvTZuwm/TJyOS2nnHNKLMZAXNuSFDZ9eKIEQVqNXRAjuOLAN2dPnGywJH1KcA9W8Ofht28/QaM2/VS5BEOaBEogAyMrKsnYIVkMqlWDaihehXf0FCuUtY9W1Ygk+KffCrE9/w4XCKitGKDwc+fvSEeSFDZ9eKIEIgLCwjifUOQIx40dhxKF9yBo9BTqI8GXUXShzk+NMXiXuWv0r3t5/Hqp6jbXDFAT0fWFDXtjw6YUSiACQy+XWDkEQuPdwx4wv30Pd6nW4GHu7vlyr4/DF8au4650f8cvnW9qdN+Io0PeFDXlhw6cXSiACID093dohCIrYCXHY/2wCJgTpIBW3DPedcGIvFKvewKHxM3Dulz+sGKF1oe8LG/LChk8vdpNAtmzZgpiYGPj7+6N3795ISkqCRmN6k8eaNWsgEomwYMEC8wfZDgEBARary1ZwdZJg4XA//O+ZMYjr0xO9Kwsw/UrTPJGwgmyIHn8Iu+csRv7Fq1aO1PLQ94UNeWHDpxe7SCBr167Fgw8+iNdffx0lJSXYt28fPvvsM5OTQEFBAV555RV+guyA8PBwi9dpC4SHh6NfgCe2PBqHl+L8UeXqqT8mBoebTiWjdMY07H7iJVQUtZ3Jbq/Q94UNeWHDpxebTyDl5eVYunQpEhMTMWvWLABAVFQUkpKSsGnTJvzyyy9G3+vpp5/GxIkT+Qq1XVJTUy1epy3Q7EUkEmHi/OkY9PMhZE+cjXpxyy4ELjoNbvp5Fy5PGI99z7+JqnKllaK1HPR9YUNe2PDpxeYTyPbt21FdXY2ZM2calDd/XrdunVH32b9/P9LS0pCUlGT2GDuDOv/Y/NOLp3cPTPvoDfT8fhcuRo+BrtVyKO6NakTs24zMseOw/8V3UXWj0sLRWg76vrAhL2yoE70Djh07BgAYPHiwQbmfnx8UCoX+eEfU1NRgyZIlWLNmDWQyGS9xdkRMTIzF67QF2vMSenMEpn/3OfDFBlzuPcjgmGdDLfrs+gabH3gK/z2cjcraRgtEalno+8KGvLDh04vNJ5Ds7GwAQGBgYJtjgYGBuH79Ourr6zu8x7JlyxAbG4u77rqLlxg7Izk52Sr1Cp3OvESNicVd/9uGmpUf42qw4XIN28JH44PDFzHq3SN4a995FCjr+AzVotD3hQ15YcOnF5vf0rayshIikQhubm5tjslkMnAch6qqKvj5+TGvT09Px7p163D27Fm+Q20XV1dXq9UtZIz1Ejvtdujuug1//nAIyk8+QZFWiivyIABATYMWX/56Fet/y8Fij3LcMfImDBw7gs+weYe+L2zICxs+vdh8AukOOp0Ojz32GJYvX46goCCTr1+1ahVWrVql/6xUKqFSqZCcnAyNRoNx48YhNTUVNTU1iI+PR2ZmJsrKyhAbG4uioiLk5+cjKioK3t7e2L17NyIiIuDq6oqMjAwEBQVBoVAgLS0Nvr6+iIyMREpKCtzd3REXF4cjR45AKpUiISEBKSkpUKvVSEhIwOnTp6FUKhEXF4ecnBwUFxcjOjoaSqUSubm5+oXVsrKyEBYWBrlcjvT0dAQEBCA8PBypqamQy+WIiYlBcnIyXF1dER8fb/IzqdVqXL58uVvPVFFRAaVSafQzFTvVI2zVG2io0KJ/agGyKltesHVaLYZ+vxaSDeXY598bLvfNQV2wFzhwFn0mc/ye+vbti127dgnm9ySU715FRQUuXbpkV89kjt/TsGHDcPDgwS4/U4dwNk5sbCwHgKutrW1zbMiQIRwATq1WM69dvXo1Fxsby2m1Wn3Z1atXOQDc/PnzTY4lKCjI5Gs4juP27dvXpevsne56Sb9ewT2x6S+u94v7uMS5b3Pn+0ca/PfrkDhuz7/e4AovXzNTxJaBvi9syAub7nrp6O+azfeB9OvXDwBQWFjY5lhhYSFCQkLg4uLCvPbAgQO4cuUKevXqBYVCAYVCgeHDhwMAvvvuO31ZaWkpfw8AdGnCoyPQXS+Dg+X4+IGhOPr8WNypkKBO6mxwvGetEn33b0bplDuwd8Y8/LZlLzSNwv9d0PeFDXlhw6cXEcdxHG93twCfffYZHn/8cezcuRMzZszQl5eWlsLf3x9z587Ft99+a/T9cnJy0Lt3b8yfPx/r1683KZbg4GDk5eWZdA0AqFQqeHh4dH6ig2FuL8rSG/ht9dfwOLATfir2xMNyd29U3DoJgxc+gLCB/cxWtzmh7wsb8sKmu146+rtm828gs2fPhqenJ3bu3GlQ3vz54Ycf1pdVVVWhqkp4S4PTBCg25vYi9+uJyW88h1G/H8WNV9/B5Yhog7kkAOBTU4G+/9uKPxY9i/vW/o5taddRrRbWUGD6vrAhL2xoImEH+Pj4YOXKldi0aRN++OEHAMD58+exbNkyJCYmYuzYsQCa5nr06dMHERERqKmpsWbIbRBaPEKBLy9SJyni587AXfu3wuP73cieOBsVbj0MzvkpNBZ/XL2Bf39/BrFvHcaSTSdxKD0P9XVqXmIyBfq+sCEvbPj0YvNNWM1s3rwZK1asQGFhIWQyGRYsWIBXX30VUmnTQLP6+nrExsZCLBbjxIkTcHY2bA/PyMjAuHHjoNVqUVZWBldXV3h5eWHChAlGN4F1tQmrrKwMvr6+Jl9n71jSS2N9A/7Yuh8V338PRc55zJv4KuqcDIc/jio4i/93ahsKBt4Cv2lTEDtzIpxd2f1rfELfFzbkhU13vXT0d81uEogQ6GoC+fXXXzF69GgeIrJtrOWltFSJPVkV2PFXHs632g3xlT+/weiClvlC1c4yFA68Bb53TsSwu++Aq6ztXCQ+oO8LG/LCprteOvq75tDzQIRCWVmZtUMQJNby4ucnx0I/ORaO7o2LxdXYdSofh/68jFuKLhic59lQC8+TR4GTR5GxIgn5/YfA4/bbMWT2ZHj7+/AWH31f2JAXNnx6oTcQM9LVN5C8vDwEBwfzEJFtIyQvWq0O6QeP4/qOPfA7+Su869ofjKERiXE9JBK1s+ciduZEhPu6mzUWIXkREuSFTXe92PUoLHugqKjI2iEIEiF5kUjEGDo5AdO/eh8jTvyGmhVrcDF+Mm7I5G3OlXI69L52Htt/zcZt7x3F7e8dxZv7zuPYxVKoG7XdjkVIXoQEeWHDpxdKIAIgPz/f2iEIEqF6kUgliJ0+DtO/eh8j01LQsPpLZN8+E0Vyhf6cBrEUp/36AgCulNXgq1+vYt66P/HSvNew7857cWD5B7j4R3qX9ncXqhdrQ17Y8OmF+kAEQFRUlLVDECS24EUsFiN6QjyiJ8QDAC79lYGLO/+HvJwCaJxdAZ1hC/HwvHOIKM0Grp6FduvnSHXzQmn/wXAfORID7hyLoJvCO63TFrxYA/LChk8vlEAEgFpt/bkFQsQWvfQdFoW+w5r+h72vthHHL5Xi58wSHLtYimplNQaWXzE437uuEt6njwOnj6Pq05W41MMPyv7R8Iy7BQPuSEBgRGibOmzRiyUgL2z49EIJRABcvnwZAwcOtHYYgsPWvXjJnHDX4F64a3Av6HQczmcXIEeSCElaKoIKLsOJa9sf4l9VCv8Th4ETh6Fc/X/4bOS9qJsyC8PDe2J4eE+E+chs3gtfkBc2fHqhBCIAIiIirB2CILEnL2KxCAP7B2HgipcAANUVVTiz/yjKjh2Hx7lT6HWD3U79p9QfF9LysC2taRSMr4cLEhpvwOmv9xEYfwsGjIm12PwToWNP3xdzwqcXSiACgDbCYWPPXjy9eyB+7jRg7jQAQOn1QmQcOIrK31PR40I6FJXFUEuckO1tOPyyTFUPr4w/0Tv7KLDtS2SJpSgMCEd9vwHoMTQGfW+LQ9BN4RCLHW98jD1/X7oDbShl52RkZKBv377WDkNwOJIXv5BA3LZoDrBoDgCgOKcAGanpSHQLwR9XbyCruBrNM7ZuLs/RX+es0yCs8BJQeAk4theqD4E/3HqgLLgvRP0HwCd2CG4aMxw+Qf6WfygL40jfF1Pg0wslEAHQld0QHQFH9hIQ3gsB4b1w+9+fK+sacfJaBdKulkN6wgX1Eie4aNmrBMvrqiDPPglknwT2bcLmkGHYNuFhDAryQlQvLwwK8sLAIC/0dHdmXm+rOPL3pSP49EIJRAAoFIrOT3JAyEsLXm5OGNvfH2P7+yNv4Br4+/ohK+Uk8lL+ROOZM5DnXoRfNXvJimx5CK7fqMP1G3U4cLZpUlmQqhQrf1uLil69oet7E7wGRSF8RAxCbo6w2eYv+r6w4dMLJRABkJaWRkswMCAvbNLS0jBjxgwMGjcSg8aN1JeXXi/ExeQ/cOPEKYguXoB/wRV41tfgondIm3tEKPPRs1aJnpdOAZdOAT8CtQBOObmi1C8E9WF94No/Ev7RNyNiRDR69PSy4BN2Dfq+sOHTCyUQAUBLULMhL2za8+IXEgi/uTOAuTMAADqdDtfPX8aTDc44W1yLjPwqnM2vRGVdI/pUFjDvIWtUI6wgGyjIBn4/CADIB3DS0w8bH/8P+vXywk0BHujn74m+/h5wdZLw8IRdg74vbPj0QglEAERGRlo7BEFCXtgY60UsFiNsYD+EAbjr7zKO45BXUYdLPzsj+7gPxJcuwrswFz1rlR3eSw0xDl8sw+GLLc1kYhGwPH0rvCU6cCFhkN3UD/4D+yN8aJRV3ljo+8KGTy+UQARASkoKpk+fbu0wBAd5YdMdLyKRCCE9ZQi5ZwJwzwR9een1Qlz5Ix3l6RlozM6C+/Wr8K8ohJOuabJjTo/ANvfS6ThEXs+AZ2NdU4f9z03l+QDOyuSo9O2FxqAQOPfuDXn/vug1sD+C+/eGRMrPWwt9X9jw6YUSiABwdzfvct/2Anlhw4cXv5BA+IUEAvfcoS9rUNcjJz0T+SfPwVnrggk9ApBdXI3cG7XgOMC7vropeTDoWatEz2tK4Np54PemsloATw27D1eG345wH3eE+7qjt68Mvd1ECHUXwT+sV7c68On7woZPL7QfiBnp6n4gKpUKHh4ePERk25AXNtb2UtegxeVSFS5fvAbRju8gupYDz+Lr8K0shQQd/zl5fswSZPj0NiibkPsn/nVqG+qkzrjh5Y8630DogoLgGhoGed9wKCIj0KtfGJxcOh52bG0vQqW7XmhHQoFz5MgRevVmQF7YWNuLm7MEA4O8MDBoEDB2kL68VlWLa2cuouhcJlQXL0GXmwO3ojz4VBTBTVMPAMjz8Gtzv141Tf0qbpoGBJXnAeV5QNaJlvsCyBSJccPTB6qeAagNi0DZnEcR2lOGkJ5uCPGWQS5zsroXocKnF0ogAkAqpV8DC/LCRqheZB4yRI6KQeSoGINynU6Hkpx8XDuThRcU/XClrAY55TW4WlaDazdqEawq7fTeUk7XtNBkVSkyKyuxwjvT4Li7swSvpmzAvi+2QhsQCKfAXpCFBqNnn1AobuoN3+AAm53f0l34/L4I85voYCQkJFg7BEFCXtjYmhexWAxFnxAo+oTgln8c02h1yMuKROHZC6i8dBX1ubkQFxbAvbQAPlVlcNZp2tyvSNZ2v/na+kbcXHix6fxLpw2OlQMoEEuh9OyJGrkfNL7+ECsCoRtzG3wHDkCglyt6yd0ENSTZnPD5faEEIgBSUlIwadIka4chOMgLG3vyIpWIEX5zH4Tf3KfNMa1Gi+Kr+SjMvIQb2VdRl5sLFBRA6RcBf08XlFTX68+V16uYyaYZF50GAZUlQGUJkJsBAHi7RIJfU1v2tveWOWG06homnT8Cra8/JP4BcO0ViB4hvdAzPAgBfULh6d3DjE9vGfj8vlACEQC0EQ4b8sLGUbxIpBL06heKXv0MN9WaBuAlAOpGLfIqanG9og5FOQX4sygB3vVquJYXo0dVObzU1R3ev0TmbfC5orYRyLmMiEungUuG5zYCyANQ6+SKSnc56rx8oOnpCy4gEFX3zYe/pysUXq4I6OECXw8XOEmE01xGG0rZObbWJGEpyAsb8tKEq5MEff090dffE+jvD+WIdyGXy/XHaypVKLiYg7LLuajKuY76wgJwxUVwKiuFR2UZKjy829zTt66ywzpljWrIlEWAsgjIBYpk3njWNdbgHJEIeOvP9Qior4S6hze03j4Q+frC2c8Pbgp/9OilQM/QXvAL6wWZJ/9Dj6kJy845ffo0brvtNmuHITjICxvywuafXty9PNBv+ED0G87eje8PHYeymnoUKNUoVNahoFINqew6sp1q4VxRDo+qcnjVVkLK6dqts9y17Yx7jgN6VeRDUVsBlF1nXlcLIBdNbzTVsh74Y/iduDZqIvw8XODr4QxfDxf4SbTwqyiEd7ACPsEKyDxkpujQw+f3hRKIAFAqldYOQZCQFzbkhY2pXsRiEfw9XeHv6YqYEHlT4ejFABbrz9E0alB6rQClV/OgvFaA2oJCNBQVgysrgbTiBkp6KNDDVYoqdav+F46Dj7oKxiBrVENWqUZeSSX2nyk0ODagPAerjq+BCoAKTclG5eaJOncvNPaQQyf3hljuDamvD1z9fOER4Aev4cPgI3eHXOYMiVjUJS+mYDcJZMuWLVixYgUKCgrg7u6OBQsW4JVXXul0CNvVq1fxySefYM+ePSgrK4NOp8Pw4cPx4osv4vbbb+/wWnMRFxdnkXpsDfLChryw4cOL1EmKwIhQBEaEtnvOEwBqGzQorqpHSZUaJRU1yHN5CJqSUqC8DFJlOVyrlfCsqYRHOzP3K1w825R51xv24cga1ZA1qoGqUqCwzekAgJmT30SNsxtEIsBb5oye7s64I+MvfHz8EgrHTMKiWyMQ0rNrbzIs7CKBrF27FkuWLMG2bdswa9YsZGRkYPz48cjOzsbGjRs7vDYqKgq9e/fGjh07MHDgQJSXl2PhwoUYP348tm/fjrvvvpv3+HNycmgvAwbkhQ15YWNNLzJnKXr7StHb1x2ADzDsOeZ5tapalOYW4Ma1AlQXlqC2qASNpaWIujkWbi49UVpdjzJV03/y+o4HAfyTRpEENU5N29dyHHCjpgE3ahrgdTUL1zwDsNHpGubGhXX3UQ2w+QRSXl6OpUuXIjExEbNmzQLQlBSSkpKwaNEiLFy4EGPHjm33ep1Oh9WrV2PgwKZ2Uh8fH3z99dcICQnB0qVLLZJAiouLea/DFiEvbMgLG1vwIvOQISyqL8KiDLeYnfqP8ziOQ3XVGJRdfRAVeYVQFZWgrqQcjWVl0N24AbHyBpyqlHCpqYJHXTU8GmpR6eLR1IP/D7zqa6D0bVrKxNy7UNp8Atm+fTuqq6sxc+ZMg/KZM2di0aJFWLduXYcJ5KWXXkJ8fLxBmbe3N/r374+TJ0+ivLwcPj5tJy6Zk+joaF7vb6uQFzbkhY09eRGJROjh5YEeMZFATOfLsTeo6+FdcgMHpO64UdOA8pp6lKua3kDqygfBp/cgDO/pDW8ZJRADjh07BgAYPHiwQbmfnx8UCoX+eHssW7aMWd7Q0ACpVApPz7Ztk+aGOkXZkBc25IWNI3txdnWBIjQQrAa80wH3Y35MDC/1Cme2SxfJzs4GAAQGtt2vIDAwENevX0d9fX2bYx1RWVmJ7OxsTJ48Gc7O5s3YLHJzc3mvwxYhL2zICxvywoZPLzafQCorKyESieDm5tbmmEwmA8dxqKoybkhdM1999RV0Oh3eeOMNc4XZIf3797dIPbYGeWFDXtiQFzZ8erH5Jixzk5OTg6SkJLz99tudtqmuWrUKq1at0n9WKpVQqVRITk6GRqPBuHHjkJqaipqaGsTHxyMzMxNlZWWIjY1FUVER8vPzERUVhYsXLyIrKwsRERFwdXVFRkYGgoKCoFAokJaWBl9fX0RGRiIlJQXu7u6Ii4vDkSNHIJVKkZCQgJSUFKjVaiQkJOD06dNQKpWIi4tDTk4OiouLER0dDaVSidzcXP2XKSsrC2FhYZDL5UhPT0dAQADCw8ORmpoKuVyOmJgYJCcnw9XVFfHx8SY/k1qtxuXLl7v1TJcuXYJCobCrZzLH76mxsRGZmZl29Uzm+D398ccfkEqldvVM5vg9KRQKHDx4sMvP1CGcjRMbG8sB4Gpra9scGzJkCAeAU6vVRt2rsrKSGzhwILdw4cIuxRIUFNSl63bt2tWl6+wd8sKGvLAhL2y666Wjv2s234TVr18/AEBhYduZNYWFhQgJCYGLi0un91Gr1Zg2bRr69euHtWvXmj3Ojug0yzso5IUNeWFDXtjw6cXmE8itt94KADhz5oxBeWlpKYqKioxaSEyj0WD27NlwcXHB1q1bIZE07QuQlZWF6mrTJvN0hdYLwBEtkBc25IUNeWHDpxebTyCzZ8+Gp6cndu7caVDe/Pnhhx/Wl1VVVbXpUNfpdJg3bx6USiV27txpMOpq0aJF+Ouvv3iMvon09HTe67BFyAsb8sKGvLDh04vNd6L7+Phg5cqVePLJJzF9+nTMmjUL58+fx7Jly5CYmKifRFhTU4M+ffpAJBIhJycH7u5NyygvWbIE3333HZ555hmsXLnS4N45OTkWeYaAgACL1GNrkBc25IUNeWHDpxebTyAAsHjxYvTo0QNJSUlYvHgxZDIZFi1ahFdffVV/jlQqRWBgIMRiMZycnAA0jZr67LPPAAAffPCBVWIHgPDwcKvVLWTICxvywoa8sOHTi803YTXzwAMPID09HSUlJcjJycHy5csNVuJ1cXHB2bNnkZ6erm+mksvl4Diuw/8sse9Camoq73XYIuSFDXlhQ17Y8OnFbhKILUOdf2zICxvywoa8sKFOdDsnhqd1amwd8sKGvLAhL2z49EIJRAAkJydbOwRBQl7YkBc25IUNn14ogQgAV1dXa4cgSMgLG/LChryw4dOLiOM4jre7OxjBwcHIy8sz+TqVSgUPDw8eIrJtyAsb8sKGvLDprpeO/q7RG4gAoFdvNuSFDXlhQ17YUBOWnaPRaKwdgiAhL2zICxvywoZPL9SEZUaoCcu8kBc25IUNeWFDTVh2Dk2AYkNe2JAXNuSFDU0ktHNqamqsHYIgIS9syAsb8sKGTy+UQARAfHy8tUMQJOSFDXlhQ17Y8OmFEogAyMzMtHYIgoS8sCEvbMgLGz69UAIRAGVlZdYOQZCQFzbkhQ15YcOnF0ogAiA2NtbaIQgS8sKGvLAhL2z49EIJRAAUFRVZOwRBQl7YkBc25IUNn14ogQiA/Px8a4cgSMgLG/LChryw4dMLJRABEBUVZe0QBAl5YUNe2JAXNnx6oQQiANRqtbVDECTkhQ15YUNe2PDphRKIALh8+bK1QxAk5IUNeWFDXtjw6YUSiACIiIiwdgiChLywIS9syAsbPr1QAhEAtBEOG/LChrywIS9s+PRCCUQAZGRkWDsEQUJe2JAXNuSFDZ9eKIEIgKCgIGuHIEjICxvywoa8sOHTCyUQAaBQKKwdgiAhL2zICxvywoZPL5RABEBaWpq1QxAk5IUNeWFDXtjw6YUSiADw9fW1dgiChLywIS9syAsbPr3YTQLZsmULYmJi4O/vj969eyMpKcnovYAbGxuxfPly9O7dG/7+/oiJicHWrVt5jriFyMhIi9VlS5AXNuSFDXlhw6cXu0gga9euxYMPPojXX38dJSUl2LdvHz777DMsWLDAqOvnzZuHL774AgcOHEBJSQleeeUVJCYm4ssvv+Q38L9JSUmxSD22BnlhQ17YkBc2fHqx+QRSXl6OpUuXIjExEbNmzQLQtPZLUlISNm3ahF9++aXD63/66Sds3boVb731FgYMGAAAmD17Nu677z48//zzUCqVfD8C3N3dea/DFiEvbMgLG/LChk8vNp9Atm/fjurqasycOdOgvPnzunXrOrz+q6++AgDMmDGjzfWVlZXYsWOH+YJth7i4ON7rsEXICxvywoa8sOHTi80nkGPHjgEABg8ebFDu5+cHhUKhP97R9SEhIfD29jYob75fZ9ebgyNHjvBehy1CXtiQFzbkhQ2fXmw+gWRnZwMAAgMD2xwLDAzE9evXUV9fz7y2pqYGhYWF7V7b+v58IpVKea/DFiEvbMgLG/LChk8vNp9AKisrIRKJ4Obm1uaYTCYDx3Goqqpq99rm81jXtj6HTxISEnivwxYhL2zICxvywoZPL5Syu8GqVauwatUq/eeioiIEBwebfB+VSgUPDw9zhmYXkBc25IUNeWHTXS+lpaXtHrP5BOLl5QWO41BXV9fmLaS2thYA0KNHj3avbX0e69rmc1j861//wr/+9a8uxd2a4OBg5OXldfs+9gZ5YUNe2JAXNnx6sfkmrH79+gEACgsL2xwrLCxESEgIXFxcmNe6u7sjMDCw3WsBoG/fvmaMliAIwn6w+QRy6623AgDOnDljUF5aWoqioqJO2/9uvfVW5OXloaKiwqC8+X7UrkoQBMHG5hPI7Nmz4enpiZ07dxqUN39++OGH9WVVVVVtOtQXLlwIjuOwa9euNtd7eXnh7rvv5ifwVpijGcweIS9syAsb8sKGVy+cHfDpp59yEomE27FjB8dxHJeRkcEpFAouMTFRf45KpeJ8fHw4X19fTqVSGVx///33c0FBQdz58+c5juO47du3c2KxmPviiy8s9xAEQRA2hojjOI6/9GQ5Nm/ejBUrVqCwsBAymQwLFizAq6++qh8DXV9fj9jYWIjFYpw4cQLOzs76axsbG/HWW2/hm2++QW1tLQIDA/HSSy/h/vvvt9bjEARBCB67SSAEQRCEZbH5PhBbpTvLz9sr4eHhUCgUbf4LDw+3dmgWRafT4f3334erqyuWL1/e7nl//fUXxo8fD39/fygUCixYsKDDMfu2jjFeFixYgJ49ezK/RydPnrRswDxTWVmJDz/8EMOHD4ePjw969OiBYcOG4fPPPwfrvYCX74tVG9AclM8++8ygz+bcuXNt+mwckbCwMGuHYHWuXr3KJSQkcKGhoRwAbtmyZczzTp48ybm5uXFLly7lGhsbufLyci4hIYEbMGAAV1VVZdmgLYCxXubPn8/98ssvFo3NWtx5552cu7s7t2/fPk6r1XJqtZp78803OQDc008/bXAuX98XSiAWpqysjPP09OTmzZtnUL527VoOAPfzzz9bKTLrQwmE4wYPHsy999573JEjRzr8Qzlq1Ciud+/enEaj0ZdlZmZyALjXX3/dQtFaDmO9OFICmTRpEvfaa6+1KR81ahQnEom4q1evGpTx8X2hJiwL093l5wn7Zv/+/XjuuecgFrf/v2ZmZiZ+++03TJs2DRKJRF/ev39/3Hzzzfj6668tEapFMcaLo/HAAw/ggQceaFMeFxcHjuPw119/AeD3+0K/DQvT3eXnCfvGmLXU2vsONZddv34dV69eNXts1qQra8zZO/PmzWNuV9vQ0AAA6NmzJwB+vy+UQCxMd5afdwRefvllREVFISAgAAMGDMBzzz2H8vJya4clKDr7DrU+xxHZsmULRowYgcDAQISHhyMxMREZGRnWDstipKWlwd/fH6NGjQLA7/eFEoiF6c7y8/aOSCSCq6srfvvtN+Tl5eHjjz/Gtm3bMHz4cLseXWQqQtmGQKiUlpZi27ZtKCgowI8//ojr169j+PDhOH78uLVD452//voLqampWL58uX4NQD6/L5RACMFw4sQJvP766/Dy8oKTkxNuv/12fPLJJ7h69WqHw1kJopkPPvgA27dvR1hYGEQiESIjI7F9+3YAwOLFi60cHb80NDRg8eLFuOuuuyz2rJRALEzr5ef/SWfLz9s7vr6+bcomT54MqVSK/fv3WyEiYdLdbQjsGW9vb4OOYgAICAjAiBEjcP78eeTk5FgnMAvw6KOPQqPRYMuWLRCJRPpyPr8vlEAsTHeWn3dEJBIJfHx8UFJSYu1QBENn3yGAtiH4JwEBAQBgt9+jF154Ab///jt+/PHHNptH8fl9oQRiYbq7/Ly9cvToUfz0009tyrVaLcrLy5lvJ45Ke9+h5rKQkBD06dPH0mFZnZycHHzxxRfMY8XFxQDYb7m2zjvvvIOtW7fi8OHD+kRZUFCAgoICAPx+XyiBWBhTlp93JI4ePYrVq1e3KT948CA0Gg0mTZpkhaiESWRkJEaNGoU9e/ZAq9Xqy7OysnD+/Hk89NBDVozOeuTk5ODll1/WD2NtprS0FCdOnEDfvn3tLrF++umn+Oijj3D48GGEhobqyz///HN8/vnnAPj9vlACsTA+Pj5YuXIlNm3ahB9++AEAcP78eSxbtgyJiYkYO3aslSO0Hnv37sWaNWvQ0NAAjuPw+++/Y8mSJQgMDKRO9H+wZs0aFBUV4aWXXoJGo0FFRQUWLVqEyMhIPP/889YOz2qUlZVh0aJFuHHjBgDg2rVrmDNnDurr67FmzRorR2deNm/ejCeffBLx8fHYtGkTli9frv/v6NGjBufy9n3p8hx2olts2rSJGzx4MOfn58eFhYVxy5Yt4xobG60dltUoKSnh3n//fS4+Pp7r1asXJ5fLudDQUG7RokVcfn6+tcOzGO+++y4XEBDAeXt7cwA4d3d3LiAggJs5c2abc0+cOMHdfvvtnJ+fHxcQEMDNmzePKykpsULU/GOMl7q6Om7jxo3clClTuLCwMP3+PzNmzOD++OMPK0bPD9HR0RyAdv/753IvfHxfaDl3giAIoktQExZBEATRJSiBEARBEF2CEghBEATRJSiBEARBEF2CEghBEATRJSiBEARBEF2CEghBEATRJSiBEIRA4TgOOp3O6HNbL1NBEJaAEghBCAiVSoWYmBgoFAo4OTnp97JgUVNTgyFDhiAwMBDOzs5Yv3695QIlCFACIQhB4eHhgRMnTuDee++FVqvFiBEj2j3X3d0df/75J+69915oNJoOzyUIPqAEQhACw8nJCdevX0dQUBDCw8M7PTc/Px/e3t6IioqyTIAE8TeUQAhCYHAch+PHj2P06NFGnX/s2DHEx8cb7EJHEJaAEghBCIxz586hvLwcY8aM6fTc8+fPo7S01OhkQxDmhBIIQQiM5ORkADAqKZhyLkGYG6m1AyAIwpBjx47By8sLgwYNAtC0j/eyZcsgkUhQWlqKDRs2wMXFBUBTAnF1dYWnpyeeeOIJ6HQ6XL58GTfffDM+/PBDatYi+KVbu4kQBGF2AgICuDvuuIPjOI67du0at2TJEq6iooJ7+OGHOQDcX3/9pT9XoVBwfn5+3BNPPMHV1NRwHMdxRUVFHABu+/btVomfcByoCYsgBERmZiaKi4sxevRoXLt2DR988AFWrVoFuVyOiooKjBw5Uj/a6uLFiygqKkK/fv3w0UcfQSaTAWgaCgwAly5dstpzEI4BNWERhIA4duwYAEAsFmPVqlVYuXIlnJ2dAQA//PCDwbnN/R/vvvsuJBKJvvzChQsAgNDQUEuETDgw9AZCEAIiOTkZUqkUq1evhlarxW+//dbhuTKZDHFxcQblhw4dgkgkwm233cZztISjQwmEIAREcnIyxowZg/z8fNx2222YMmUK/vWvf7V77qhRo+Dk5GRQ/v3332PkyJHo1auXJUImHBhKIAQhEC5fvoz8/HyMHTsWIpEId999NyZNmoSvvvpKf87mzZsBAFeuXEFeXl6bt4wLFy7g1KlTmDt3LgBg165dqKiosNgzEI4FJRCCEAjN/R+33367vkytVsPf3x8AUF9fj6NHjwJo6f/4ZwLZsWMHnJ2dMWfOHABN/Sbe3t48R044KpRACEIgJCcnw93dHbfccou+zNfXF3K5HADw7bffIjExUX+uTCYzOBcAKioqMHjwYMjlcmzduhUJCQkWi59wPCiBEIRAqKmpwYIFCwz6NN599104OTlhwYIFqK6u1icEtVrd5lwAePbZZyGTyTB//nxkZ2dj4cKFFn0GwrEQcRzHWTsIgiAIwvagNxCCIAiiS1ACIQiCILoEJRCCIAiiS1ACIQiCILoEJRCCIAiiS1ACIQiCILoEJRCCIAiiS1ACIQiCILoEJRCCIAiiS1ACIQiCILoEJRCCIAiiS1ACIQiCILrE/wfReKlW9f7rMQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "depth = 20\n", "f = np.linspace(0.001, 0.5, 100)\n", "\n", "\n", "k = dwt.cores.core_dispersion.disper(f * 2 * np.pi, depth)\n", "\n", "\n", "\n", "c_deep = 9.81/(2*np.pi*f)\n", "c_shallow = np.sqrt(9.81*depth)\n", "\n", "plt.figure()\n", "plt.plot(k * depth, 2*np.pi*f/k/c_shallow)\n", "plt.plot(k * depth, np.ones_like(k) * c_deep/c_shallow,'--')\n", "plt.plot(k * depth, np.ones_like(k) ,'--')\n", "plt.xlabel('$kh$')\n", "plt.ylim([0, 1.5])\n", "plt.ylabel('$c/\\sqrt{g h}$')\n", "plt.legend(['c','c deep','c shallow'])" ] }, { "cell_type": "markdown", "id": "881c2ddf", "metadata": {}, "source": [ "### Wave decomposition\n", "\n", "Below is an example of linear wave decomposition (i.e. seperation of incoming and reflected waves) based on the method of Zelt & Skjelbreia (1992). " ] }, { "cell_type": "code", "execution_count": 19, "id": "f3dea7a7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Re')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.linspace(0, 1800, 25000)\n", "x = np.array([0, 0.4, 0.6, 1.2, 1.4])\n", "\n", "## peak period\n", "fp = [0.6, 0.7, 1.6]\n", "## amplitudes\n", "A = [0.1, 0.05, 0.05]\n", "## reflection coef.\n", "R = 0.7\n", "## water depth\n", "h = 0.6\n", "## create series\n", "zs = np.zeros((len(t), len(x)))\n", "zs_in = np.zeros((len(t), len(x)))\n", "zs_re = np.zeros((len(t), len(x)))\n", "for ii in range(len(x)):\n", " for kk in range(len(fp)):\n", " k = dwt.cores.core_dispersion.disper(2 * np.pi * fp[kk], h, g=9.81)\n", " zs[:, ii] = (\n", " zs[:, ii]\n", " + A[kk] * np.cos(2 * np.pi * fp[kk] * t - k * x[ii])\n", " + R * A[kk] * np.cos(2 * np.pi * fp[kk] * t + k * x[ii])\n", " )\n", " zs_in[:, ii] = zs_in[:, ii] + A[kk] * np.cos(2 * np.pi * fp[kk] * t - k * x[ii])\n", " zs_re[:, ii] = zs_re[:, ii] + R * A[kk] * np.cos(\n", " 2 * np.pi * fp[kk] * t + k * x[ii]\n", " )\n", "\n", "WHM01 = dwt.Series(t, zs[:, 0])\n", "WHM02 = dwt.Series(t, zs[:, 1])\n", "WHM03 = dwt.Series(t, zs[:, 2])\n", "WHM04 = dwt.Series(t, zs[:, 3])\n", "WHM05 = dwt.Series(t, zs[:, 4])\n", "\n", "xTimeIn_lin, xTimeRe_lin = dwt.cores.core_wave_decomposition.decompose_linear_ZS_series(\n", " [WHM01, WHM02, WHM03, WHM04, WHM05], h, x, np.ones_like(x), detLim=0.125\n", ")\n", "\n", "plt.figure()\n", "plt.subplot(2, 1, 1)\n", "plt.plot(t, zs_in[:, 0])\n", "plt.plot(t, xTimeIn_lin.xTime, \"--\")\n", "plt.plot(t, xTimeIn_lin.xTime - zs_in[:, 0], \"-\")\n", "plt.legend([\"theory\", \"ZS\", \"error\"])\n", "plt.xlim([30, 60])\n", "plt.title(\"In\")\n", "plt.subplot(2, 1, 2)\n", "plt.plot(t, zs_re[:, 0])\n", "plt.plot(t, xTimeRe_lin.xTime, \"--\")\n", "plt.plot(t, xTimeRe_lin.xTime - zs_re[:, 0], \"-\")\n", "plt.legend([\"theory\", \"ZS\", \"error\"])\n", "plt.xlim([30, 60])\n", "plt.title(\"Re\")" ] } ], "metadata": { "kernelspec": { "display_name": "dwtdev", "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": "3.11.10" } }, "nbformat": 4, "nbformat_minor": 5 }