Skip to content

Instantly share code, notes, and snippets.

Embed
What would you like to do?
sound analysis
{
"metadata": {
"name": "",
"signature": "sha256:c3bec9c88aa983f7611557c097d3057f33bc5fadc58f86dbe9286b7e5df2951f"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Voice to Health"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u6982\u8981\uff1a\u97f3\u58f0\u304b\u3089\u5065\u5eb7\u60c5\u5831\u306e\u62bd\u51fa"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u30e2\u30c1\u30d9\u30fc\u30b7\u30e7\u30f3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u97f3\u58f0\u8a8d\u8b58\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u97f3\u304b\u3089\u6587\u5b57\u306b\u5909\u63db\u3057\u305f\u5834\u5408\u3001\u97f3\u58f0\u306b\u542b\u307e\u308c\u3066\u3044\u308b\u60c5\u5831\u306e\u5185\u3001\u6587\u7ae0\u60c5\u5831\u3060\u3051\u3057\u304b\u5229\u7528\u3067\u304d\u306a\u3044\u3001\u97f3\u58f0\u306b\u542b\u307e\u308c\u3066\u3044\u308b\u304c\u4eca\u307e\u3067\u30ce\u30a4\u30ba\uff08\u3086\u3089\u304e\uff09\u3068\u3057\u3066\u6368\u3066\u3089\u308c\u3066\u3044\u305f\u60c5\u5831\u306e\u6d3b\u7528\u65b9\u6cd5\u3092\u63a2\u308a\u305f\u3044\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u8abf\u67fb\u5185\u5bb9"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u4eca\u56de\u306f\u5065\u5eb7\u60c5\u5831\u306e\u62bd\u51fa\u3092\u30c6\u30fc\u30de\u3068\u3059\u308b\u3002\u5b9f\u969b\u306b\u98a8\u3092\u5f15\u3044\u305f\u6642\u306e\u97f3\u58f0\u3092\u4f7f\u3046\u3053\u3068\u304c\u30d9\u30b9\u30c8\u3060\u304c\u3001\u3059\u3050\u306b\u5165\u624b\u3067\u304d\u306a\u3044\u305f\u3081\u3001\u6f14\u6280\u3067\u5143\u6c17\u306e\u826f\u3044\u58f0\u3068\u75b2\u308c\u3066\u3044\u308b\u58f0\u3092\u51fa\u3057\u3001\u305d\u308c\u3092\u9332\u97f3\u3057\u305f\u3002\u9332\u97f3\u3057\u305f\u97f3\u58f0\u306b\u5bfe\u3057\u3066\u7279\u5fb4\u91cf\u306e\u62bd\u51fa\u3068\u5224\u5225\u3092\u884c\u3063\u305f\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u7d50\u8ad6"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u4ee5\u4e0b\u306e\u65b9\u6cd5\u3067\u5143\u6c17\u305d\u3046\u306a\u58f0\u3068\u75b2\u308c\u3066\u3044\u308b\u58f0\u306e\u5224\u5225\u306b\u6210\u529f\u3057\u305f\u3002\n",
"- \u7279\u5fb4\u91cf\uff1a\n",
" - \u632f\u5e45\u306e\u5e73\u5747\u5024\n",
" - \u30d4\u30c3\u30c1\u306e\u30d4\u30fc\u30af\n",
"- \u5224\u5225\u65b9\u6cd5\uff1a\n",
" - SVM"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"set graph inline on ipython notebook"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"import librarys"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import glob\n",
"import numpy as np\n",
"from scipy.io import wavfile\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.svm import SVC"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Web\u30ab\u30e1\u30e9\u4ed8\u5c5e\u306e\u30de\u30a4\u30af\u3067\u81ea\u5206\u306e\u58f0\u3092\u9332\u97f3\u3057\u3001wav\u5f62\u5f0f\u3067\u4fdd\u5b58\u3057\u305f\u30021\u30d5\u30a1\u30a4\u30eb1\u5358\u8a9e\u3067\u3042\u308a\u3002\u5358\u8a9e\u306f\u3059\u3079\u3066\u300e\u304a\u306f\u3088\u3046\u300f\u3067\u7d71\u4e00\u3057\u305f\u3002strong\u3068\u30d5\u30a1\u30a4\u30eb\u540d\u306b\u4ed8\u3044\u3066\u3044\u308b\u30d5\u30a1\u30a4\u30eb\u306f\u5143\u6c17\u3088\u304f\u767a\u8a71\u3057\u305f\u97f3\u58f0\u3067\u3042\u308a\u3001weak\u3068\u4ed8\u3044\u3066\u3044\u308b\u3082\u306e\u306f\u5143\u6c17\u304c\u306a\u3055\u305d\u3046\u306b\u767a\u8a71\u3057\u305f\u97f3\u58f0\u3067\u3042\u308b\u3002"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"filelist = glob.glob('./ohayou_*.wav')\n",
"filelist"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"['.\\\\ohayou_strong1.wav',\n",
" '.\\\\ohayou_strong2.wav',\n",
" '.\\\\ohayou_strong3.wav',\n",
" '.\\\\ohayou_strong4.wav',\n",
" '.\\\\ohayou_strong5.wav',\n",
" '.\\\\ohayou_strong6.wav',\n",
" '.\\\\ohayou_weak1.wav',\n",
" '.\\\\ohayou_weak2.wav',\n",
" '.\\\\ohayou_weak3.wav',\n",
" '.\\\\ohayou_weak4.wav',\n",
" '.\\\\ohayou_weak5.wav',\n",
" '.\\\\ohayou_weak6.wav']"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u97f3\u58f0\u30d5\u30a1\u30a4\u30eb\u3092\u8aad\u307f\u8fbc\u307f\u3002\u9023\u60f3\u914d\u5217\u306e\u914d\u5217\u306b\u4fdd\u5b58\u3002\u30b9\u30c6\u30ec\u30aa\u9332\u97f3\u306e\u305f\u3081\u4e00\u5217\u76ee\uff08\u304a\u305d\u3089\u304f\u53f3\uff09\u306e\u6ce2\u5f62\u3060\u3051\u4f7f\u7528\u3002"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"snd_array = []\n",
"for fname in filelist:\n",
" fs, snd = wavfile.read(fname)\n",
" snd_array.append({'data':snd[:, 1], 'sample_rate':fs, 'fname':fname})"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u4e00\u3064\u76ee\u306e\u30d5\u30a1\u30a4\u30eb\u3092\u30d7\u30ed\u30c3\u30c8\u3002"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_data = snd_array[0]\n",
"plt.plot(np.arange(0.0, np.size( plot_data['data']), 1)/plot_data['sample_rate'], plot_data['data'])\n",
"plt.xlim([0,1])\n",
"plt.ylim([-30000,30000])\n",
"plt.title(plot_data['fname'])\n",
"plt.xlabel('[second]')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": [
"<matplotlib.text.Text at 0x98ec330>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x9922250>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u5143\u6c17\u304c\u306a\u3055\u305d\u3046\u306b\u767a\u97f3\u3057\u305f\u6642\u306e\u97f3\u58f0\u3092\u30d7\u30ed\u30c3\u30c8\u3002\u5f8c\u308d\u306e\u5c0f\u3055\u306a\u5c71\u306f\u305f\u3081\u606f(\u5143\u6c17\u304c\u306a\u3055\u305d\u3046\u306b\u8a71\u3059\u3068\u7121\u610f\u8b58\u306e\u5185\u306b\u51fa\u3066\u3057\u307e\u3063\u305f)\u3002"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_data = snd_array[7]\n",
"plt.plot(np.arange(0.0, np.size( plot_data['data']), 1)/plot_data['sample_rate'], plot_data['data'])\n",
"plt.xlim([0,1])\n",
"plt.ylim([-30000,30000])\n",
"plt.title(plot_data['fname'])\n",
"plt.xlabel('[ms]')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"<matplotlib.text.Text at 0x9912ad0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x9c84230>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u4eca\u5f8c\u4f55\u5ea6\u3082\u4f7f\u3046\u306e\u3067\u3002\u6642\u9593\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u8fd4\u3059\u95a2\u6570\u3092\u5b9a\u7fa9\u3057\u3066\u304a\u304f\u3002"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def time_index(data):\n",
" import numpy as np\n",
" return np.arange(0.0, np.size(data['data']), 1)/data['sample_rate']"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"time_index(snd_array[0])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"array([ 0.00000000e+00, 2.26757370e-05, 4.53514739e-05, ...,\n",
" 5.49863946e-01, 5.49886621e-01, 5.49909297e-01])"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u3059\u3079\u3066\u306e\u97f3\u58f0\u3092\u30d7\u30ed\u30c3\u30c8\u3059\u308b\u3002\u8d64\u8272\u306f\u5143\u6c17\u306a\u58f0\u3001\u9752\u8272\u306f\u5143\u6c17\u306e\u306a\u3044\u58f0\uff08\u4ee5\u964d\u3001\u7279\u306b\u65ad\u308a\u306e\u306a\u3044\u9650\u308a\u540c\u3058\u8272\u5206\u3051\u3092\u4f7f\u3046\uff09\u3002"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for snd_data in snd_array:\n",
" if 'weak' in snd_data['fname']:\n",
" col = 'b'\n",
" elif 'strong' in snd_data['fname']:\n",
" col = 'r'\n",
" plt.figure()\n",
" plt.plot(time_index(snd_data), snd_data['data'], color=col)\n",
" plt.xlim([0,1])\n",
" plt.ylim([-2.**15, 2.**15])\n",
" plt.title(plot_data['fname'])\n",
" plt.xlabel('[second]')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVeT/A3DJ6bvENKWDAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xa018390>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x104ff290>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10539c30>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZlVx4DAzs6r8f7D7yywLYf5RAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10ad17d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10c1a410>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10ce3230>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niOSiwCEiIrkocIiISC4KHCIiksv/B0QR5rW7dPYYAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10d1dc50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+4MAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10d9cb90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRKQkChwiIlISBQ4RESmJAoeIiJTk/wMYoPUXmA9kgAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10f397d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10f77370>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3W+2AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x110bf0f0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEZCAYAAACAZ8KHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nzMyKODjMzKyIg8PMzIr8f7grgZKeoEjnAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x110cce70>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u632f\u5e45\u60c5\u5831\u3092\u62bd\u51fa\u3057\u3001\u30d7\u30ed\u30c3\u30c8\u3059\u308b\u3002\u632f\u5e45\u306f\u5143\u306e\u97f3\u58f0\u30c7\u30fc\u30bf\u306e\u7d76\u5bfe\u5024\u3092\u53d6\u308a\u3001500\u70b9\u5e73\u5747\u3057\u305f\u3082\u306e\u3068\u3059\u308b\u3002\u5148\u982d\u306b0\u3092\u8a70\u3081\u6570\u3092\u5408\u308f\u305b\u308b\u3002"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for snd_data in snd_array:\n",
" n_window = 500\n",
" org_data = np.r_[np.zeros(n_window), snd_data['data']]\n",
" scan_range = range(0, snd_data['data'].shape[0])\n",
" amplitude_mean = np.zeros(len(scan_range))\n",
" for i_time in scan_range:\n",
" extract_data = org_data[i_time:i_time + n_window]\n",
" amplitude_mean[i_time] = np.mean(np.abs(extract_data))\n",
" snd_data['amp'] = amplitude_mean\n",
" if 'weak' in snd_data['fname']:\n",
" col = 'b'\n",
" elif 'strong' in snd_data['fname']:\n",
" col = 'r'\n",
" plt.figure()\n",
" plt.plot(time_index(snd_data), snd_data['amp'], color=col)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10f39a50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x13642f70>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x138abff0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyi88t38AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x139e70d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x13af63f0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYhARkRaUGEREpIX/D+O7zht84Eo2AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x13a648d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMAzDaKWYABiGYbRSTAAMwzBaKf8fajWgZocTptUAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x13cd0d70>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkSqlBCAiUqWUAEREqpQSgIhIlfr/lCMYn7+fMoIAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x13c91330>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nH6DsEeMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x13d58fd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmYFNXV+PHvGYZVQZBNFqOYjAtIQIkiGsMYN4xRMPEV\nd01I4vZq3vxMXGJUiErURKMxQhY3XIIhMTFoxJ2JK6K4gIwoBEcBAVGRfZmB8/vjVtk1Pb1Pd1dX\n9/k8zzxVfauq+07D1Km7i6pijDGm8lSFnQFjjDHhsABgjDEVygKAMcZUKAsAxhhToSwAGGNMhbIA\nYIwxFSplABCRDiLyioi8KSL1IvIrL328iCwVkTe8n2MC11wuIgtFZIGIHBVIHyYi87xjtxbuVzLG\nGJMJSTcOQEQ6qepGEakGXgB+ChwOrFPVm+POHQj8BTgA6Ac8DdSoqorIbOB/VXW2iDwG/E5VH8//\nr2SMMSYTaauAVHWjt9sOaAOs9l5LgtNHA1NVtVFVG4BFwHAR6QN0VtXZ3nn3AmNak3FjjDGtkzYA\niEiViLwJrARmqup879CFIvKWiNwpIl29tL7A0sDlS3Elgfj0ZV66McaYkGRSAtiuqkOB/sA3RKQW\nmAwMAIYCy4GbCplJY4wx+Ved6YmqukZE/g18TVXr/HQRuQN4xHu5DNg1cFl/3JP/Mm8/mL4s/jNE\nxCYmMsaYHKhqomr5lNL1AurhV++ISEfgSOANEdklcNoJwDxvfzpwsoi0E5EBQA0wW1VXAGtFZLiI\nCHAG8HCSX8J+VLn66qtDz0Op/Nh3Yd+FfRepf3KVrgTQB5giIlW4YHGfqj4jIveKyFBAgfeBc7yb\nd72ITAPqgSbgfI3l7nzgHqAj8JhaDyBjjAlVygCgqvOA/ROkn5nimonAxATpc4DBOeTRpPHKKzB2\nLDQ0hJ0TY0yUZNwGYIqrtra2RVqHDrBsGXTv7l5/+CFs3AgvvQQffFDc/BVTou+iUtl3EWPfReul\nHQhWTCKipZSfUiMCc+fCYK8c9eUvw+LF8JvfwE9/CvbVGVOZRATNdyOwKT2qcOONMGsWbN7s0hob\nw82TMSaarAooIoJP95deCscfH3u9dWvx82OMiT4rAUSEf5Pfts1t27WL7VsJwBiTCwsAEbFli9v6\nN/sOHWIBoKkpdp61AxhjMmUBICLi6/vbt29ZAti8GaqqmgeBQYPgd78rXj6NMdFhASAi4gNAsArI\nrx7asMFtt2+PXVdfD08+WZw8GmOixQJABKxaBZ9+6vYTlQA+/9xt/QAQ3yYgWXcOM8ZUAgsAJa6u\nDnr1gh/8wL3+/vfdtl272A3/vvvc1gKAMSYbFgBKnP/kP2CA2y71VlV45pmW565a5baNje6m//rr\n7nVVFVx8MZx7bmHzaoyJFgsAJc6vz3/ooebpc+a0PHfkSLf1SwBLlrhtmzbwxz+6H2OM8dlAsBL1\n4IMwfz4MHJj9tX630DZt3LaqyqqBjDEtWQmgRE2cCNdeG2vozYYfAKq98F5V1bxnkDHGgAWAkuX3\n5Q8O8srU6tVu65cAVHMLJMaY8mYBoET5N/7vfS/7a/fbz239IPK3v8VGEn/4oXttjDEWAEpUNk/+\nU6YkTl++vGXahAlw0km55ckYU14sAJSobAJA//6J088+O3+fYYwpPxYASlQ2N+f27TM/168WmjsX\n2rbNLk/GmPJiAaDEfPnLrgtoqgBwxBFue9hhbtuhQ+bvf/fdbusPGjPGVC4LACVm8WI3eduKFcnP\n8at2Hn7YbbMpAfhs2mhjjAWAEpRu0Jbfp9+vwvEDwLhxmX+GBQBjjI0ELkFVCcLymDFuUrh33okF\nAH+gl18FlM1o36OOal0ejTHRl7IEICIdROQVEXlTROpF5Fde+s4i8pSIvCciT4pI18A1l4vIQhFZ\nICJHBdKHicg879ithfuVoi9RAGjf3s3l89xzsaf31gQAY4xJGQBUdTNwmKoOBb4KHCYiXwcuA55S\n1T2BZ7zXiMhAYCwwEBgFTBL54rY0GRinqjVAjYiMKsQvVA7uuqtlWrCe3w8A/je7ww5u26dPbp+3\naFFu1xljoi1tG4CqbvR22wFtgNXA8YA//GgKMMbbHw1MVdVGVW0AFgHDRaQP0FlVZ3vn3Ru4xsRJ\n1AOoXbvYfrdusX1V6NQJGhrgiity+7yamthaAsaYypE2AIhIlYi8CawEZqrqfKC3qq70TlkJ9Pb2\n+wJLA5cvBfolSF/mpZuAVPP1BEsAo0fHpnr27bZbLEi0bx9rEN5xx9Sf6U8L4S8raYypHGkbgVV1\nOzBURHYCnhCRw+KOq4jkrU/J+PHjv9ivra2ltrY2X29d8l5+OfmxXr1i+yLJR//6/GqiBx5wASMZ\nf1qIRMGnqcktSNO7d8tjxpjw1NXVUVdX1+r3ybgXkKquEZF/A8OAlSKyi6qu8Kp3PvZOWwbsGris\nP+7Jf5m3H0xfluhzggGg0vh1+fEeegi+/e3M30ekZU+hdBJVO914o6tWsi6jxpSW+IfjCRMm5PQ+\n6XoB9fB7+IhIR+BI4A1gOnCWd9pZgDckienAySLSTkQGADXAbFVdAawVkeFeo/AZgWuMJ1kvnj32\naN4GkIn4nkLpJAoAH3/cMs0YUz7StQH0AZ712gBeAR5R1WeA64EjReQ94Jvea1S1HpgG1AMzgPNV\nv3h+PB+4A1gILFLVx/P9y0Rd/GLuvmymevDFB4A770x9fqIqoGDwePfd7PNgjCltKZ8PVXUesH+C\n9M+AI5JcMxGYmCB9DjA4t2xWhkQNsU8/DXvvnd37qLYMAEOGpL6mqcn9BG/6folk2zaXh61bbQI5\nY8qJTQVRIp59NnEAGD48u/f53vdcDyA/APirgnXsmPq6bdvczf3RR1se8/O1eXN2eTHGlDYLACXi\n8MNh6dLmaatWpe/GGe+uu+D221s23KZrQ/DbAN57L5bmlwD8AGDrBxhTXiwAlAC//v3MM2NpH34I\nPXq0/r3jSwLJ+Df3RDd5v20iWRuFMSaaLACUgERVK7vu2jItF5l2B/3kE7cNNgbHlwAsABhTXiwA\nFMgnn8RuvunEj+rNB7/04N/Q/QDwxz8mPv/ww91WBObNc7OO+oJVQD/9qVuzwBgTfRYACqRnT7j3\n3szOPfro/H/+hAmwYEHLEsABB6S+rqoKhg6F/fdPXAK46Sb4y1/yn19jTPFZAMiDTz6BLVtg1qzm\ng7mWL8/s+vgBV/lobN1pJ9hrLzjkEJg0KRYA0jUG+6OIm5piv0t8G0CqOYuMMdFhASAPevaEH/0I\n3nyzeXqmM2zG3/DTNdhmo0MHOO+82Hv6AeC3v018vr8WQbAX0fz5buvf+BOtV2CMiR77U86TJ55o\nOUHbdddl1g6Qj94+6fglAH8gV7JpJ4KDvyZNcvtjx7qtXwKwAGBMebA/5TxZsya2P2tWbH/jxpbn\n+pqaXF//s86KpRXq5prp6mHBz1+7tvkxv6RiAcCY8mB/ynmyZUvsBjliRCw9UTXQp5+6rp+TJ7tp\nnoNVQO+/X5j8+QEg3YjgVDd3P5+29KQx5cECQB5UVbk68/XrWx7bZRe4447maT16wLnnuu6W0HwK\niC99qXB5BLd6GKSvAkrEAoAx5cUCQB749fw33JD4+DnntExbvDhWPXTbbYXJVzzVlm0AgwbBCSfE\nzskkAFgVkDHlIeMFYUxyIu7m+vbbiY8nagj+6KPm7QbF5t/oRZrf0INzAcXzA0CbNq4X0ZYtcNll\nhcujMaaw7FkuDw45JP05jz7qbrb+TXT4cJg7t7D5yoRffeVLVRo56ii3bd8eLr/c/RhjossCQCvs\nvLNrtH3hhfTn3n232/rTKIQ9mjZYAsh0ygpfVZWtC2BMObAAkCNVWL0ajjuuefqAAYnP/8c/3PaH\nPyxsvrKVSwDYts0ago0pBxYAcuSPivVHye67r9t27pz6uueeS5zeqxcMHJifvGWiXz+3zTUAGGOi\nzwJAjuKnRvanWmjfPpbmd/NM55pr4IMP4NVX85O3dD75BI4/PvY6kxv6V78a229qarngjDEmeiwA\n5Cg+ACSabG2PPTJ7rx12cCN0/T76hda9e6wKp6oqVgI4+ODE53/lK83XFA7+7s8+a9VBxkSVBYAc\nJZvALXgzzLShdIcd8pOnXAQDwJFHJj6nbdvmC8oEA0D8BHjGmOiwAJCl996DW25xN8GePWPp/g1y\n2zbYc8/maemEGQCCbQDx+f3Vr9w2PgBMmBAb9Zzp72iMKT0VFwAuucRNwJar22+Hn/zEBYDgE77/\n5L99O5x4YvO0K65I/Z7FqvqJd+WV8POfJw8AfntG27bNf1drBDamPKQMACKyq4jMFJH5IvK2iFzk\npY8XkaUi8ob3c0zgmstFZKGILBCRowLpw0Rknnfs1sL9Sqn9+tfw73/nfv2OO7ptfAA4+2y33bat\n5VQJY8akfs90E7QVyi9/CaNHt1w20ufPHNq2rdXzG1OO0pUAGoGfqOog4CDgAhHZB1DgZlXdz/uZ\nASAiA4GxwEBgFDBJ5Itbx2RgnKrWADUiMqoAv09C69bBk0/GXrfmCdYPAG+/7aZC8H33u267fXv2\nc+WkW6Wr0OJLANdd57Z+AKiuzr6rqDGm9KW8VanqClV909tfD7wDeD3ISfRMOBqYqqqNqtoALAKG\ni0gfoLOqzvbOuxdI81ycP3/7W/N1d3NZcnH6dLd4ux8Ajj8eVqyAv/7VvW7b1j3JDxoE3bpl996l\nFgBGjnTbYBVQsgBg3UGNia6Mn1VFZHdgP8Bf7uRCEXlLRO4Uka5eWl9gaeCypbiAEZ++jFggKbj4\nG34uJYDRo93EZ8F+/gAnneSe+Nu3d/3r77wTLrig+aRq3bsnfs+hQ93Wf9IOS3wA8BulO3SAwYPh\n2GNjpZ1kM56CqyZKNCW2MaY0ZdSHQ0R2BP4O/FhV14vIZOCX3uFrgJuAcfnI0Pjx47/Yr62tpba2\nNuf32rq1+RTIvlyrgNavb9n/P/h+wc+pqXHbpqbma/w+8ghMnQoPPOBei8RG5YYlWQBo3z42YZ1f\nxbXLLqnf6/PPY6UkY0xh1NXVUVdX1+r3SRsARKQt8BBwv6o+DKCqHweO3wE84r1cBuwauLw/7sl/\nmbcfTF+W6POCAaC1Tj0VGhrgxz92r/0bXa4BoKkpcQBIJXjz3203+Pa33Y+vFKpQ4gOAfwMPlkz8\nqauDQa5bN9crKvgeuVSvGWOyE/9wPGHChJzeJ10vIAHuBOpV9ZZAep/AaScA/qQH04GTRaSdiAwA\naoDZqroCWCsiw733PAN4OKccZ+Htt2HOnNiKW129iqqbb068VGM6S5Y0X70rG1dc4bpdlqL4Eozf\nLTXYNuF/X8G01ath4UK3v3mz2+b6/Rhjii9dCeAQ4HRgroi84aX9HDhFRIbiegO9D5wDoKr1IjIN\nqAeagPNVv3jGPR+4B+gIPKaqj+fzF0nEb4zdtMlt161z2yVLYObM5k/imZg3L/sSgO/aa3O7rhj8\nAW1+CcBv5wh2Cx0zxjVyJxvd7H+3FgCMiY6UAUBVXyBxKWFGimsmAhMTpM8BBmebwdbwq1/8p9Og\nXKsqyvEGd999ru7er+/3n/KD1VeXXup+ZiT5l/cbf3MNkMaY4ivrkcD+DSzRTTvTADB1avM2g8bG\nxGv8RlmvXm76Cr+s5o9jCAYAn18q8Lu/+vwqonIMkMaUq7IOAP6NLNFUDJneqE491XXp9Ks+3nnH\nrQQGcO65rc9jKYlvHO/bt+U5/rC++M5ZL73ktlYCMCY6KiIAJHLJJXDQQZm9z8CBsRvbww+7RV9U\nYfLk1uexlAQHe6lCnz4tzwkODgs67zy3tRKAMdFR1nM5ppq/Ztky95NKsmqijRtzz1Mpy6R77Ne/\nDm+9lXwW0K1b3U91dfZTYhhjiqus/0RbO39NcK6foESNyuUgkwAg4lYHS9YbqLHRlRLSzYBqjAlf\nWQeA4A38q1+FQw7J7vpkN/pyDQDZ9IxKFgD8KqA33kh83BhTOsoyAHz8sXv6DwaAIUNiC7dnKlkJ\nIFl61B16KHzjG5mdG+whFKzq8dtKbPZQY0pfWQaA3r3dDX/OnFha/Jw8vttuS/4+8Tf6piY3sVuy\ntXOjbq+94D//yf664AR5fgnA1g8wpvSVZQAANw1EUDAAvPxyLP2iixJfr+oGRwW1aeNm/PQXfzHu\nuwhOD+EHAGsANqb0VcyfabB+O1H/9ngPPgj77x97XQqTtpWiDh2aV/f4VUDBEsD69bGxE/PmWfWQ\nMaWi7APA+++7SeAOPdR1YezZs+X8+7/9bfPXqrBgQey1DW5K7thjm/ceClYBbdvmGsw//9xNHAeu\nMf6RR1q+jzGm+ERL6NFWRDQf+Qk+fS5d2nK+/bVrYaedmqc1Nsb6tj/wAJx+euxYCX1FJaljx5Y9\no4491jW633CDm3xv111dKay62s09FPx+jTGtIyKoatYtb2VfAkjUXTF+VS9wg5u2bHE3+0WLCp+v\ncpJo/IBIrB3GL0H5W1szwJjSUJEBINEavF/7GvTo4aZttgbM7CSqImvbNpbuVwsFz/vss9g03caY\ncJT9ra5jx5Zpyboorl/veghZAMiO37vqZz+LpSUKAMF5grp3hzPOKE7+jDGJld1cQMHqhbfeyn7B\n9RkzmrcP+MtJmuQaGmDVKnjqqViaauzfIj4Q+N59tyjZM8YkUXbPusHBW4NTLD8TP04g6MEH3fbK\nK+GWW5KfZ5z+/WG//ZpXrTU2xrp7JioBGGPCV9YBINVo1EGD0r9X/EAwk1qwvWXLlljjcKI2ALDe\nVcaEreyqgDZvdmsB33xz699ryZLWv0clCZYAnn8+tkykHwD84Gw3fmNKQ1mWALp0yWy6hlSzenbu\n3LxR06QX7A7q3/whFgD8Xj/+eSLwj3/kJ1gbY7JXdgFg69bE/fwTSXXeVVeV76RvhbLPPonTr7/e\nbf2FdIJVQT//OVx8cWHzZYxJrOwCwJYtifv5ZyuTxVFMc8m+9+efd9uRI902GABs1lBjwlN2AeCK\nK1L38MlUsArDZCbRmItELAAYUxpSBgAR2VVEZorIfBF5W0Qu8tJ3FpGnROQ9EXlSRLoGrrlcRBaK\nyAIROSqQPkxE5nnHbs33L6IK48bBo4/m5/1slGr2hgyB005LvJh8kB8ArDHYmHClKwE0Aj9R1UHA\nQcAFIrIPcBnwlKruCTzjvUZEBgJjgYHAKGCSyBfPeJOBcapaA9SIyKh8/iKNjXDXXdlf99JLbrv7\n7s3Ty3Xh90ISgfvvh1mzUp93++3NrzHGhCNlAFDVFar6pre/HngH6AccD0zxTpsCjPH2RwNTVbVR\nVRuARcBwEekDdFbV2d559wauyYtcb9gjRsCaNfDYY+71aae57Xe/m598VaJ0bTBLl7rt/PlQX9/8\n2OrVcOCBhcmXMaa5jMcBiMjuwH7AK0BvVV3pHVoJ9Pb2+wLB57+luIDR6O37lnnpebNhQ+7Xduni\nun2+8oob0fqb38Auu+Qvb5Umfqrt+GNr1iQ/Pn8+vPpq/vNkjGkpowAgIjsCDwE/VtV1Eii3q6qK\nSN5qc8ePH//Ffm1tLbW1tRldFywBvPNO9p8rEnvytJt/66RqDL7iCrjkkuTH/eCgatVDxiRTV1dH\nXV1dq98nbQAQkba4m/99qvqwl7xSRHZR1RVe9c7HXvoyYNfA5f1xT/7LvP1g+rJEnxcMANkIBoC9\n987pLUwBdevmqncSTc8NLmjvs49bcxlcm04+uvMaU47iH44nTJiQ0/uk6wUkwJ1AvaoGp0WbDpzl\n7Z8FPBxIP1lE2onIAKAGmK2qK4C1IjLce88zAtfkRWuqgExhDRkC/v/VZAFg4EC39QPAuHEFz5Yx\nFS9dL6BDgNOBw0TkDe9nFHA9cKSIvAd803uNqtYD04B6YAZwfmCNx/OBO4CFwCJVfTyfv4j12ikt\nL70UmwKiujrW5TPVU31jI/z0p27//vtjI4iNMYWRsgpIVV8geZA4Isk1E4GJCdLnACkmaM7dpk0W\nAErNiBGx/Q0bYgHALwEcd1zLxeFvuKH568svh8suK1wejal0kR8J/PLL0KmTVQGVsnXrYqUBPwCM\nHt3yvCuvbJlmU3IYUziRDwArVrjtqaeGmw+T3Jo18MEHbt8PAJ07Z3ZtcH0HY0x+RX49AJtOoLTN\nnOlmXX3uOfjoo8wCwI03xrqKbtniSnjGmPyLfACIX2XKlBa/94/fJuDX+3ftmvB0wAX1F1+EQw6x\nEoAxhRT5KqDgoi5DhsB774WXF5OePw2EP9juX/9qeU5jo1uLoV8/C/DGFFLkA0Cw8bdbN6ipCS8v\nJj2/t5Y/WthvwwnyxwS0bQtNTcXJlzGVKPIBIDhvf6YrgZnwnHsuvPBCbDzAiSc2P37JJXDCCW6/\nutpKAMYUUqQDwH//C5de6vbbtIEpU1Kfb8K3ww6ubt9vDI6fOC44jUfbthYAjCmkSAeAadNi+8OG\nQe/eyc81paVTJzjzTBe4g6oD3RKsCsiYwop0ALAqn+hKVmILBoS5c2Hx4uLlyZhKE+kAEHxatPEA\n5WH79uavTz45nHwYUwkiHQCCT4vxNw4TTfH/jv4UEsaY/It0AAg+9VsAiK7gFNH272hM8UQ6AARH\nidqNI7q2bo0F8+Dkb9/7nttaQ7AxhRHZALB9e2zxEICqyP4mJijY7bN7d7e1qb6NKYzIzgX0+9+7\nBUN+8Qu3kHv//umvMaUvGABuv71lmjEmfyIbABYscNsuXeA73wk3LyY/rrqq+cjgXr3cNNLr1sVK\nA8aY/Il8xYmNBSgfEyZAnz6x17fe6rYDBoSTH2PKXWQDgN/o26FDuPkwhXP88WHnwJjyFtkAkMki\n4ybaRMLOgTHlLbIBwC8BWBWQMcbkxgKAiQQb52FM/kU2APhdA63/f2WwKSGMyb+0t08RuUtEVorI\nvEDaeBFZKiJveD/HBI5dLiILRWSBiBwVSB8mIvO8Y7e2NuP+SmD2ZFjezjvPbYNLfxpj8iOT5+e7\ngVFxaQrcrKr7eT8zAERkIDAWGOhdM0nki6a8ycA4Va0BakQk/j2z4gcAmyagvE2aBD172uLwxhRC\n2gCgqs8DqxMcStRHYzQwVVUbVbUBWAQMF5E+QGdVne2ddy8wJrcsO34AsG6g5a9DBysBGFMIralB\nv1BE3hKRO0Wkq5fWF1gaOGcp0C9B+jIvPWfr17uBQ8cck/5cE21btsB994WdC2PKT65TQUwGfunt\nXwPcBIzLR4bGjx//xX5tbS21tbUtztm40a0W9de/Np9K2JSnjz+GK6908z4ZY6Curo66urpWv49o\nBktpicjuwCOqOjjVMRG5DEBVr/eOPQ5cDXwAzFTVfbz0U4CRqnpu3HtpJvmZMAHGj4dly6Bv37Sn\nm4jzW5FWr4auXVOfa0wlEhFUNeuhkzlVAXl1+r4TAL+H0HTgZBFpJyIDgBpgtqquANaKyHCvUfgM\n4OFcPhvcjQBg551zfQcTRddeG3YOjCkvaauARGQqMBLoISJLcE/0tSIyFNcb6H3gHABVrReRaUA9\n0AScH3ikPx+4B+gIPKaqj+ea6d12c1trAK4sti6AMfmVNgCo6ikJku9Kcf5EYGKC9DlAiyqkXLRr\nF+sfbirHRx+FnQNjykskx9Fu3mxP/5VozZqwc2BMebEAYCJj06awc2BMebEAYCLDAoAx+RXJALBl\niwWASmQBwJj8imQAsBJAZXn5ZXjySQsAxuRbJBeFtwBQWQ46CFatsgBgTL5ZCcBEQseOFgCMyTcL\nACYS/ACQwUwhxpgMWQAwkdCmjbv5v/FG2DkxpnxENgDYWsCVadiwsHNgTPmIbACwEoAxxrSOBQBj\njKlQkQ0AVgVkjDGtE9kA0LFj2LkwxTZiRNg5MKa8RDIAbNpkAaASvfgiVFfbAvHG5EvkAkB9PSxd\nagGgEom4JSFtWmhj8iNyAeCmm9zWAkBl2mknWLcu7FwYUx4iFwD8G78FgMrUpQusXRt2LowpD5EL\nALvsAj16uJGhpvJYADAmfyIXADZvhgsvDDsXJiwWAIzJn8gFgI0bYYcdws6FCYsFAGPyJ3IBYMMG\n6NQp7FyYsHTubAHAmHyJZACwEkDl6tzZegEZky9pA4CI3CUiK0VkXiBtZxF5SkTeE5EnRaRr4Njl\nIrJQRBaIyFGB9GEiMs87dmuuGbYAUNksABiTP5mUAO4GRsWlXQY8pap7As94rxGRgcBYYKB3zSQR\nEe+aycA4Va0BakQk/j0zYm0Ale3FF+G668LOhTHlIW0AUNXngdVxyccDU7z9KcAYb380MFVVG1W1\nAVgEDBeRPkBnVZ3tnXdv4JqsWAmgsp12GrRrF3YujCkPubYB9FbVld7+SqC3t98XWBo4bynQL0H6\nMi89a9YIXNmGDoWamrBzYUx5qG7tG6iqikjeVmodP378F/u1tbXU1tY2O24lgMq2887w2Wdh58KY\ncNXV1VFXV9fq9xHNYJVtEdkdeERVB3uvFwC1qrrCq96Zqap7i8hlAKp6vXfe48DVwAfeOft46acA\nI1X13LjP0XT56d8fXn4Zdt01q9/TlAm/DWjrVmjbNuzcGFMaRARVlfRnNpdrFdB04Cxv/yzg4UD6\nySLSTkQGADXAbFVdAawVkeFeo/AZgWuyYiWAyubPATVvXurzjDHppa0CEpGpwEigh4gsAa4Crgem\nicg4oAE4CUBV60VkGlAPNAHnBx7pzwfuAToCj6nq47lk2NoAKpsIHH00rFgRdk6Mib60AUBVT0ly\n6Igk508EJiZInwMMzip3cbZuhe3bbTnISte+vfu/YIxpnUiNBN6wwQ0Ekqxrukw5sQBgTH5EKgCs\nXw877hh2LkzY2rWzAGBMPlgAMJFjAcCY/IhUAFi1Crp1CzsXJmwWAIzJj0gFgLffhn33DTsXJmwW\nAIzJj0gFgM8/h+7dw86FCVu7dtDYGHYujIm+SAWATZugQ4ewc2HCZiUAY/IjcgHAHwlqKleHDu7/\ngjGmdSIVADZvtgBg4IUX4Jprws6FMdEXqQBgJQADcPLJsMceYefCmOizAGAiZ/fd4UtfCjsXxkSf\nBQATOR3Wonq3AAAQmUlEQVQ6uOpAY0zrRC4AWC8g07GjNQIbkw+RCwBWAjA77OAmBjTGtE6kAoD1\nAjIAXbrAunVh58KY6ItUALASgAEXANauDTsXxkSfBQATOR07uqkgbDoIY1rHAoCJHBH3/+COO8LO\niTHRJrEle8MnIpoqP927w4IF0LNnETNlSpK/KtzmzbZEqDEigqpmvVailQBMpH32Wdg5MCa6IhMA\nVK0XkIl5/HE3JmTNmrBzYkx0RSYAbN0K1dXQpk3YOTGl4Oij4atfdWtEGGNyE5kAsHEjdOoUdi5M\nKena1QKAMa3RqgAgIg0iMldE3hCR2V7aziLylIi8JyJPikjXwPmXi8hCEVkgIkdl81kWAEw8CwDG\ntE5rSwAK1Krqfqp6oJd2GfCUqu4JPOO9RkQGAmOBgcAoYJKIZPz5Gza4KQCM8VkAMKZ18lEFFN/1\n6Hhgirc/BRjj7Y8Gpqpqo6o2AIuAA8nQf/9rA39Mcz16wMcfh50LY6IrHyWAp0XkNRH5oZfWW1VX\nevsrgd7efl9gaeDapUC/TD9owQLYe+9W5taUlb594dprXQ8xY0z2qlt5/SGqulxEegJPiciC4EFV\nVRFJ9efZ4tj48eO/2K+traW2thZwT/+DB7cyt6asdOvm/l9cdx1ceim0bRt2jowpjrq6Ourq6lr9\nPnkbCSwiVwPrgR/i2gVWiEgfYKaq7i0ilwGo6vXe+Y8DV6vqK4H3SDoS+IorXL/vK6/MS3ZNGXj6\naTjySLd/2GHwyCOl1U60di3stBM88QQclVWXB2OyU/SRwCLSSUQ6e/s7AEcB84DpwFneaWcBD3v7\n04GTRaSdiAwAaoDZmX6e/8dkjO/ww2P7M2fCb34TXl4SmTHDbf/2t3DzYUwyrakC6g38U9ykLNXA\nA6r6pIi8BkwTkXFAA3ASgKrWi8g0oB5oAs5POfFPnLVr3TTAxvhEYMsW+Pvf4bTTYvMDlYrZ3uPN\nf/8bbj6MSSbnAKCq7wNDE6R/BhyR5JqJwMRcPm/NGgsApqV27eDUU+HTT11HgVLy9ttuO3NmuPkw\nJpnIjAS2KiCTyu67w+LFYeeiuQUL4IUX3P7CheHmxZhEIhUArARgktljDzdBXH09/PnPMGdOuPnZ\nsMGNUTjoIPd6zz3DzY8xiUQmAFgVkEnly19220GD4Ec/gu9/P9z8/Oc/8KUvuckLjzvOpT32WLh5\nMiZeZAKAVQGZVDp0gH/9K/Z61apwB4g9/XSsl9JJJ7ntsce6BuHt28PLlzFBkQkAVgIw6Rx3nOsJ\ndMwx7sl70aLw8tLQ4MYmAJx+upvOHOArX4Hrr098zbZt0Lu3+x1uuy3xOZs2wbp1ec+uqVCRCACb\nN7unJlsMxqQi4maNnT4d9tsP5s0LLy/19bDPPrHXbdvC3XcnP3/7dhg7Nja30UUXtTznz392M+J2\n6eJ+15dfzm+eTeWJRAD4/HM382Op9fM2padDB7dw0LBh4dW5Nza6EkBNTfP0s8+GW26BV16Bpd6s\nWGvXwq9/7UosDz3kjjc0uGPLlsWuff5517YRdPDB7m9i/foC/SKm7EUiAHzyiZv3xZhMjRkDd90V\nznTR778P/folXqy+Tx9XQhkxAm6/Hb71LbjkktjxCy6A3XZz+/37u+3HH8M3vuH2X38d3nzTpf3s\nZy6tc2c33YQx2crbXED5kGwuoNtvh1dfhXvuKX6eTHSNGAE33giHHlrczz31VJg6NXEj9OLFsR5L\n8bZvj5Vyn3gCRo1qfnzlSujVq3nac8/ByJFuv4T+lE2RFX0uoGJatMit/2pMNgYPDqcdYMkSuPji\nxMf22MOVaH0vvuiqgxoamldxHn00/N//xV6vWdPy5g+uZDB3rtv/4INWZ91UmEgEgE8/hZ13DjsX\nJmr23TecAPDCC3DCCcmPd+8ODzzg5jA6+GBXXeRX+wT99reu1NvYmLoH3ODBrnfRI4+4aqO5c13w\nSNXoDC4QbdiQ0a9kylQkqoC+/W0455zYgBpjMuFXozQ1uUbWYtiwAXbc0ZUC/Dr8YnjwQTjllJbp\nP/qRm430kkvcmgl+KWP5cregDpRP1VFTE7z3Htx6q+tG265d2DkqnrKuArISgMmF3w//nXeK95nL\nl7ttMW/+ACee6LZ+NZHfA+pPf4LVq+Hyy6GqyvU62ratefVSt26xOYuCli+P1qC1M85wI8H/9Cfr\nIpupSASAzz6zAGCy166deyou5rxA69bBkCHF+zxfdbV7kl+50m2POcZtZ81yVUgPPujO22knd+60\naXDzzfCLX7ieUoce6p6efd/5jishtGnjSg3Bn1IJCo2NsdLL4sXud2xocLUFr78eatYiwwKAKWuD\nBsWmZS6k7dtdt8z99y+tkbrDh7sb/tixsbS99nI3zJ/8BK65BlascGMU7r7bra8wfz78858wYEDi\ntocBA4qW/aTeessF+KoqV+32xBNw5pmuLeWAA+CNN9x5kybBa6+5EdQmAVUtmR+Xnea2b1dt00Z1\n69YWh4xJa8YM1dpat799e+E+5w9/UD3oIFX3TFq4zymUuXNjeU/1O6xc6Y5dd11x8xf02mvN8zl9\nutv+5S/u+Kuvutennx4758QTw8tvMXj3zqzvuSVfAli3zo3utAW/TS4OOADq6lzVRVUVPPVUYT5n\nyhS3XvVzzyWexqHUDR7sSgu1tfD73ycvxfTqBb/8pVuje9WqombxC4895r5jVdeW8YMfuHydfLI7\nPmyYK+Xcf79rBK+rc91tn3wynPyWspIPAKtX2yhgk7vu3eGss2KLxd9/f/4/4/333ViVI490dem3\n3pr/zyiGWbPc6mUXXOB6MiVz5ZXuhturV2ySO19DA1x3nftOCtW76JlnYoPk/ud/3Kjo4cNjPZxE\n3AR8AH/4gxsod+658OyzhclPlJV8AHj3XTevujG5uuceN1/O8uVw773w//5fft9/2jT47ncrq5Tq\n17G3bx8b2Pbuu278w+TJbsBbVRU8/HB+P3fFCrfWwte/7l4ffLDbxjdMX3SRu+H7QWH//a1hOJGS\nDwBz5rgh/ca01i67uP75998Pjz6av/d97bXiTzcRtr59XXfSkSOhZ093o917b3dDbmhwN+kxY1xA\nmDYtf6WB2bPdKOnOnWNpL77oGnuDunSJdQOGWAAolzEP+VLyAeCdd1xPDmPyoX9/NzDquONclUdr\nqbqZOv2lHytJVZWrX7/vPtfW8uqrbt6u6mo3RcU//+kmvhs71p17xhmudHDLLe7YmjUuiGRjzhxX\nxx908MHpawn69nVtiWEvFVpqIhEAgvOqG9NaI0e6bo8jRrS+WmD+fFdfvsceeclaJJ1+unsy/9rX\nWh477jjXTnDSSW6qih//2K3c9p3vuCneq6td6eHww13dfirbt7vAER8AMnXOOa4K0MQUdSoIERkF\n3AK0Ae5Q1RvijmswP6quKLdkifvPYky+qLqn1i1b3Pz8nTrl9j4PPOCecv/61/zmrxKsWeO2DQ2u\nGu2882DoULc9++yW63/4gWPdutz+vd55B775TTc/VI8emV3T1AQLF7peRVU5PC6vXx9bo6KQSn4q\nCBFpA/weGAUMBE4RkZTP9o884ibKqsSbf11dXdhZKBmF+C5EXJXFsGHupvDqq7m9z+uvF3fkbzn9\nv9hpJ/czZAiMGwcffuj+3q+80i2mc9ZZblqHl15yvXnOPhv+/e/YzT/b72KffVx11NFHu89K9+xb\nX+8amw891E22d/XV8NFHmX3W5s1w002u6qlPH3cP23tv11axZUtW2S6oYlYBHQgsUtUGVW0EHgRG\nJzu5sdH11vj974uWv5JSTn/orVWo70IE7rzT9eAZNcqtHZDpHzi4G8gzz8R6pBRDOf+/2GUXV8XT\n0OCWv9xtN5gxw43wffBB+Mc/mq+RkMt3cfPNLugPHeoaiW+/3QWYxsbm5334oZuE8rTT3PQakya5\nXkX+6Oi993bjIW67LTb/k+8vf3EB4z//cSWbV191PaTuuMMFsJoaNwJ7xgzXqylMBS6YNNMPWBJ4\nvRQYnujEFSvg/PNdxD7iiKLkzVSoNm3cFA7f+hZcdZVbsP2gg9yawm3buqqC+OVIRdyAr6efdvX/\n1kstv6qr3c052IsnX6qqXKli0iTXG+yFF9xDwIIFrh1n331dqeShh9wMqhde6K4bNcr9fPKJC/zv\nv+8eGNascfMp9ejhekMdeKCb5vuf/3RjE4J693YBYNYsd85NN7kSZIcOLiD16+fGPFVXu/9XXbu6\nh4tCroVSzACQUWND//5uYe9jj3UR05hiGDTI/dFv2uS2ixe7Hir19bG6anB//Nu2uW6FDz3k/jht\nreroqa52VUpnn+1er1/vgsCCBW724Ysvhj33bHmd33bQs6e7iYOr7lm61C3IM3WqS4+/+QcddFCs\n15iqK228+aYrSaxZ49od1q1z7zlgQGEDQNEagUXkIGC8qo7yXl8ObA82BIuI9dI1xpgc5NIIXMwA\nUA28CxwOfATMBk5R1SLO1m6MMcZXtCogVW0Skf8FnsB1A73Tbv7GGBOekloS0hhjTPGEMhJYREaJ\nyAIRWSgilyY553fe8bdEZL9i57FY0n0XInKa9x3MFZEXRaSATULhyuT/hXfeASLSJCLfKWb+iinD\nv5FaEXlDRN4WkboiZ7FoMvgb6SEij4vIm953cXYI2Sw4EblLRFaKyLwU52R338xlEYHW/OCqfxYB\nuwNtgTeBfeLO+RbwmLc/HJhV7HyW0HcxAtjJ2x9Vyd9F4LxngUeB74ad7xD/X3QF5gP9vdc9ws53\niN/FeOBX/vcAfApUh533AnwXhwL7AfOSHM/6vhlGCSCTAWHHA1MAVPUVoKuI9C5uNosi7Xehqi+r\nqt8R8RWgyMuNF02mAwUvBP4OhLQcSVFk8l2cCjykqksBVPWTIuexWDL5LpYD/uKVXYBPVbWpiHks\nClV9Hlid4pSs75thBIBEA8L6ZXBOOd74MvkugsYBjxU0R+FJ+12ISD/cH/9kL6lcG7Ay+X9RA+ws\nIjNF5DUROaNouSuuTL6LPwODROQj4C3gx0XKW6nJ+r5ZzIFgvkz/aOP7tJbjH3vGv5OIHAZ8Hzik\ncNkJVSbfxS3AZaqqIiK0/D9SLjL5LtoC++O6VXcCXhaRWaq6sKA5K75MvoufA2+qaq2IfBl4SkSG\nqGqShS3LWlb3zTACwDJg18DrXXGRKtU5/b20cpPJd4HX8PtnYJSqpioCRlkm38Uw4EF376cHcIyI\nNKrq9OJksWgy+S6WAJ+o6iZgk4g8BwwByi0AZPJdHAxcB6Cq/xWR94G9gNeKksPSkfV9M4wqoNeA\nGhHZXUTaAWOB+D/g6cCZ8MUI4s9VdWVxs1kUab8LEfkS8A/gdFVdFEIeiyXtd6Gqe6jqAFUdgGsH\nOK8Mb/6Q2d/Iv4Cvi0gbEemEa/SrL3I+iyGT72IBcASAV+e9F7C4qLksDVnfN4teAtAkA8JE5Bzv\n+B9V9TER+ZaILAI2AN8rdj6LIZPvArgK6AZM9p58G1X1wLDyXCgZfhcVIcO/kQUi8jgwF9gO/FlV\nyy4AZPj/YiJwt4i8hXuovURVPwst0wUiIlOBkUAPEVkCXI2rCsz5vmkDwYwxpkKV/JKQxhhjCsMC\ngDHGVCgLAMYYU6EsABhjTIWyAGCMMRXKAoAxxlQoCwDGGFOhLAAYY0yF+v+40gxLiC6UYgAAAABJ\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x13ecaf10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+6PljwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x14a5db50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3L27cFQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x14bc36f0>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u632f\u5e45\u304c0.01\u4ee5\u4e0a\u304b\u3064\u30010.1\u79d2\u4ee5\u4e0a\u9023\u7d9a\u3057\u3066\u3044\u308b\u533a\u9593\u3092\u767a\u8a71\u533a\u9593\u3068\u3059\u308b\u3002"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def extract_speak(snd, th_amp=1000, th_time=0.1):\n",
" import numpy as np\n",
" index_snd_buff = th_amp < snd['amp']\n",
" index_snd = np.bool_(np.zeros(index_snd_buff.shape[0]))\n",
" count = 0\n",
" for i, v in enumerate(index_snd_buff):\n",
" if v == False:\n",
" if th_time * snd['sample_rate'] < count:\n",
" index_snd[i-count:i] = True\n",
" count = 0\n",
" else:\n",
" count += 1\n",
" return index_snd"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u767a\u8a71\u533a\u9593\u3060\u3051\u62bd\u51fa\u3057\u3066\u30d7\u30ed\u30c3\u30c8"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for snd_data in snd_array:\n",
" plot_data = snd_data['amp'][extract_speak(snd_data)]\n",
" if 'weak' in snd_data['fname']:\n",
" col = 'b'\n",
" elif 'strong' in snd_data['fname']:\n",
" col = 'r'\n",
" plt.figure()\n",
" plt.plot(time_index(snd_data)[:plot_data.shape[0]], plot_data, color=col)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEACAYAAABGYoqtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x13478970>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEACAYAAABGYoqtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkIPOjiEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x154eb5f0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEACAYAAACtVTGuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQgghtUKhIIQQUiv/H+D2pXEXmiRaAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1551abb0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEACAYAAABGYoqtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x13ecadf0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEACAYAAABGYoqtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x13d646d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEACAYAAABGYoqtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwjAMw2gUEwnDMAyjUUwkDMMwjEb5/2+Eagn/bhadAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x13c6a2f0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhmGUKCYAhmEYJcr/ByK+jr56zwWfAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1513eed0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEACAYAAACznAEdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXucVWXV+L8LlOF+ExyuBukgguAFEU37MZoRWopl3jMy\nrHzxVnbDS4lvaWpl6VvZxTcFe7VQkygVRXIyLUUUEMEJUEEZHW5yU0EGeH5/rP249zlzZuacmXPO\n3mdmfT+f+ey9n7OffdbZc85ez1rPetYS5xyGYRiG0S5uAQzDMIxkYArBMAzDAEwhGIZhGAGmEAzD\nMAzAFIJhGIYRYArBMAzDALJQCCJysIgsivxtFZHLRaS3iMwTkRUi8riI9Iz0uUpEVopItYhMiLSP\nEZGlwWu3FepDGYZhGLkjuaxDEJF2QA1wNHAZsNE5d4uIfBfo5ZybJiIjgHuBscBA4AmgwjnnRGQB\ncKlzboGIPALc7pybm+fPZBiGYTSDXF1GJwGrnHNvAqcBM4L2GcDpwf4k4D7nXJ1zbjWwChgnIv2B\nbs65BcF5MyN9DMMwjJjJVSGcA9wX7Jc759YF++uA8mB/ALA20mctaimkt9cE7YZhGEYCyFohiEgH\n4FTg/vTXnPqdLAeGYRhGCbNPDueeDLzgnNsQHK8TkX7OudrAHbQ+aK8BBkf6DUItg5pgP9pek/4m\nImKKxTAMI0ecc9LSa+TiMjqX0F0EMAeYHOxPBmZH2s8RkQ4iMhSoABY452qBbSIyTkQEuCDSJwXn\nXKL/rrvuuthlMDlNTpPTZPR/+SIrC0FEuqATyl+JNN8EzBKRKcBq4KzgYb5cRGYBy4HdwFQXSjwV\nuBvoBDziLMLIMAwjMWSlEJxz7wF90treQZVEpvNvBG7M0P4CMCp3MQ3DMIxCYyuVm0FlZWXcImSF\nyZlfTM78UgpyloKM+SSnhWnFQERc0mQyDMNIMiKCK/KksmEYhtGKMYVgGIZhAKYQDMMwjABTCIZh\nGAZgCsEwDMMIMIVgGIZhAKYQDMMwjABTCIZhGAZgCsEwDMMIMIVgGIZhAKYQDMMwjABTCIZhGAZg\nCsEwDMMIMIVgGIZhAKYQDMMwjABTCIZhGAZgCsEwDMMIMIVgGIZhAKYQDMMwjABTCIZhGAZgCsEw\nDMMIMIVgGIZhAKYQDMMwjABTCIbRCunSBX7/++b1ra6G55/PrzxGaSDOubhlSEFEXNJkMoxSYu9e\naN9e95vzUzrwQHjtteb1NeJBRHDOSUuvYxaCYRSZb38b/vCHwl1/2zbd9u/f9Lnvvx+e79m6Nf8y\nGaVBVgpBRHqKyAMi8oqILBeRcSLSW0TmicgKEXlcRHpGzr9KRFaKSLWITIi0jxGRpcFrtxXiAxlG\n0vnJT+DnPy/c9e+4Q7fHHAO7d+tDvyFOPRUOPhi2bIGXXlLlsGlT4WQzkk22FsJtwCPOuUOA0UA1\nMA2Y55wbBswPjhGREcDZwAhgIvArEfGmzB3AFOdcBVAhIhPz9kkMowR47z3depdOIbj6at2+/z5M\nn67zCQA33ACzZ6eeu2QJ1NbCjTfCYYdBjx7a3q1b4eQzkss+TZ0gIj2AjzvnJgM453YDW0XkNGB8\ncNoMoApVCpOA+5xzdcBqEVkFjBORNUA359yCoM9M4HRgbh4/j2EkmlWrdCst9vY2zY4dsHRpeHzt\ntbr1cwP/+ldoDWzenNr3sMMKL5+RPLKxEIYCG0TkLhF5UUR+JyJdgHLn3LrgnHVAebA/AFgb6b8W\nGJihvSZoN4w2wd/+Bs88o/uHHpr/6+/aleru2bEDOnTQ/UWLwvbnnoMf/QiOOy5s69Qp9Vo7duRf\nPiP5ZKMQ9gGOBH7lnDsSeI/APeQJwoIsJsEwGuHUU+GSS3R/9+6w/ZBD4CtfCZVFc7nlFujTR/c/\n8Ql9qO+7rx4feaRuP/tZuOmm0K0EMGEC7L9/6rVeeEGtmBNOaJlMRmnRpMsIHdWvdc75yOQHgKuA\nWhHp55yrFZH+wPrg9RpgcKT/oOAaNcF+tL0m0xtOnz79w/3KykoqKyuzENMwkkt6COcHH+h2926N\n+6+uhhdf1Adxc3ntNd2Wl8P3vgcXXQT7pP3Cd+0K5xQ8K1eGriyAr389nPSuqlKrY7/9mi+XkX+q\nqqqoqqrK+3WbVAjBA/9NERnmnFsBnAQsC/4mAzcHWz9dNQe4V0RuRV1CFcAC55wTkW0iMg5YAFwA\n3J7pPaMKwTBaA+kumA8+gDffhAMOCNuiLpzm0LGjbnfuhN69U11GHv9alNdfTz2+8MLUKKjq6pbL\nZuSX9IHy9ddfn5frZmMhAFwG/J+IdABeBS4E2gOzRGQKsBo4C8A5t1xEZgHLgd3A1MhKs6nA3UAn\nNGrJJpSNVs22bdC9e2qs/49+BE89BStWhG2HHQbtWrgqyM8D7NgBvXpBTQ088EDqOR98oPI0Rq9e\nqce2QK3tkJVCcM4tAcZmeOmkBs6/EbgxQ/sLwKhcBDSMUmXzZh2NP/20hnZ6jjoK5s2D1avDtosv\nhsWLW/Z+3kLYtQt6BquCoovMzjpL3UpRC+HRR+Hkk3W/fXvYsycMPfX4UFmj9WMrlQ2jQGzcqNsH\nHkgN6+zYUR/UUVdNx47qzmkOvl90viA9agjgssvUQoiO+D/ykfp9OndO7TdxIvz9782TzSgtTCEY\nRoF4551wP/oQLivTyeMbbgjbvELYvl1H8r16wciRTb/Hhg36IHcunKiGzAvfevbUc6LnRReg+fmG\n9Ilo0Kilc89tWh6jtMl2DsEwjBzxVsHOnfDuu2F7+ggcVCHs2KGK4v77tW3Llqbfw7uitm5NfdBH\nEVGF0bWrzlv8+MeZZfEhqg3x7383LY9R2piFYBgFwj/Qd+zQkb+nIYWwcye89VZu7/HII7pdsKBh\nl5N/Pz/HEKWsLNxPj0hKl3XMmNxkM0oPUwiGUSC8i2X79tQHffo6AAgVQnqm0Vtuafw9pgVLRL/0\npVQrJIof+Ucf/p5oWyYLwU9OX3NNwxaI0XowhWAYBWTsWPjzn+E3vwnboqNuH2rqFUJ6KuqZMxu/\n/v77Q9++qmSaSqmdyUKIzhdkmnfwymv0aFUIu3bpKmdLbdE6MYVgxM4jj8AVV8QtRX5ZvlzDN6+8\nMmw75RSYPDlVIXg3TceO6vb53vfC1/7nf2D8eBqlf39dkRxdadwQUWsgU3K9PXvCfb/q2ffp2RPW\nr4fLL9d1FC0NkTWSiSkEIzZWr9ZR8S23wO0Z16yXLiNHqvsnmvLhK1+Bu+9OXYA2YoQqDj96r6sL\nX+vSpWE3kGfHjtQ8RNER/0036XboUN1G3zeT+yiqEHwf70bq3l3rJXhLx9xHrRNTCEZsDB2qeXcy\nhTmWMtEQ0+gir65dw/0TT4Rjj4XHHtP1Cpkmmrt2TV0U9q1v6YK2KDt26D30/OAH4UP7u99VBXPs\nsfWvHVUIxxyj2/QVytHPkq5ANm7MLgrKKC1a2U/RKDW2bYP583W/rq7p0MdSIBpRFF0gFlUI/jN7\nMimEzp21yM2//qWps3/6U/1zTu/Vjh31LYSDD9aMpp599sk8NxB9wP/73+qauuee1CysAMOHq3so\nXSGceaZuLa1F68IsBCMx5BpymVTeeCPcj07kNlaFrDGF8Ic/qN/ec801etyjh74edUtFXU6eTAvc\n0pXEP/6hifY++tGwzbnQdZQpJBW0toLRejCFYBSV99/XCc30B1dZWeup5fvyy+F+1ELIFG7qyRQB\n1LmzWgADgzJS3jU0c2ZohezYkZqbKGqFeL72tfoj+XRLoCH27tVtpjkHgIceyu46RmlgLiOjKOza\npcqgJqiA8fzzqa/366e5dubMKc3c+85piui//EWjcTxeIYwcqRFBDeEnfAcPVjfNvHmqEBYs0D+A\ndet0Av7VV2HAgPB9veVx9tlhorqmuPji1EnkhmhMIUydWn/dhFHamIVgFIXrr9dJy3vu0ePHHw9f\nmzED1qxRX3mfPhrzXmqsXau++GefTX1I+pH/b3/b8Cg7ynXXaTK8t9/O7Ebq21etgqiF5ZXO6NFN\n12r+9Kd1e+aZqbmUGiKTQvBWyNChYXqOq67SvEpGaWMKwSgKy5bp9uabdRut5/HFL2p9AM/SpTra\nLSVefVW3a9akRgb5h3W/ftldZ599NMSzX7/MCqFTJ1UI0TQV/mHdkJ8/yt/+ptbaqCyT0PvaCdFr\ne4XQt69afc8/ryGuzz6b3TWN5GIKwSgKDY1cvdvi4x9PbZ81q7DypFNTo4vJ/vGP5vVfvly3q1en\nrh1o104nhYcMye460QpqjSmE6Ephf2+bsg48uURyTZumld2icxxeAe23n8rh03i3tMCPET82h2AU\nhfSUDJ5MD5EVK2DYMPjnP+srikLx2c+G8xobN+rDbtkyndD1+Xwaw6+0/ulPwzY/F3L++dnJsGNH\n6oM3WwuhkHToAIMGpbb5/1mPHqpAfWnfbdtUkZ91VnFkM/KP6XSjKPhR5He+o9FEl1yiqRmijBih\ncwsVFbpY6v/9v+LJF41wmjJFLZdDD83uYb5xoy7+uvTSsG3mTHUf5UJ6pFGmkXynTqoMiqUQMuGt\nus6ddS7DRyydd566+mxtQuliFoJRcD74IFQIo0drmOQvflH/PD/PAOpmOegg7dvUZKyfb/jTn9Rt\nsnSpRut065adG2PbNs3d87//q+6eK64IV08/8ohG7jz6aMP9+/bV7ac+Fbb17t14mGlz6dhRw1qf\neab+a5ksinxy992aVdV/rkxV2UBdTFHXl1E6mIVgFJwf/EC3V14JEyZk18cvkHr4Yd0++GDD+XMe\nfFBdFf/5jx6vWqVunmiiuIZ48skwvcSXv6zJ29JrCs+dm53M0YnjfD6cDzkETj9d9zt1CqOYrr02\nzAE1Zw584Qv5e89MTJ6s7ryoLJnwNRpWrVJZzzmnsHIZ+cMUglFQZs6Ee+/VUfdPfxqOpptCBG69\nVUfmCxfC5z+vETJRXnxRlYQfsb79tm79hPRTT6lLIz3/z8KFev2rr9acQgCf/GT4+s9+Vl8e/xC+\n+eZQ8UDqAq+oQsindTBpUnjfog/hI4/UtRsAp57a+ErofFFREbqEMimEz31OJ+jfe0/P/eEP1XJr\naA7JSBamEIwPefBBDZ985plworClTJ6s7qJsLYMoY8Zo9M7YsXr8hz/og+bVV3VidcwYfeB4945/\n6Nx3n2537dKU0xMm6GIxH1PvrxdNB+EtEYALL9TSlNXV+vAbOVKjh0Cjbu68Mzw3muAtqhAaGj03\nh717Q9dX9LrZLCwrBH4NRNQK8qkwKio0Bcm99+rxT36i29aWzba1YgrB+JDPfx6+/31dtNScB3g6\n69aF+8OG5d5/6NBw7gHUlXPDDTq34Efsv/xlWMx+0qTwXBFd4fvEE3pcVaXRMr/4BRx2WOr7jBxZ\nfwK3vFwTxQEccQT8/e/ha/Pnh3Mgf/1r2B6NRsp23UFTzJunWUu/+U24445UyyOuFNQjRug2qpz8\neoV+/XQeJt1ltnRpcWQzWoYpBCOFvXv1QVNXp6Pj6urmX8s/FPffP/s4/CgDB+oo37NxY1iA3ufQ\n8StlPX4knV7A5eyz1aV02WWwZEnY/tJLqbmHMnHCCfDHP4YLshYt0us4lxpR4x+Qt9+evWusKU46\nSSeoKyo03UT0IXzIIfl5j1y58EL9jkSVqI+Q6ttX/08+3Qbo6mhvzXzxi7ByZfFkNXLDFEIbZ88e\nDZf0P9iysnBV6qJFzX/oeLfC3LlqKTSn5kG7dqmj+YcfDiuDTZ0atv/yl+G+H5keemjj137uOV1l\nm82K3dGj9QEXXYEMOgeRKdV1NGNovvEP4Suv1DmEOBCpvyraR4L17avWVNRFNHGiKu7nntPUJfPn\np7rrjORgCqGNsmuXjtS2btUHqnfvlJWFDx3/sPO+91yYPVu30VDM5uDdE40RLRAzf75+pmi46Wc+\nU7/P0Udn7+fPlD4adJL8618Pj/310qOUCkFSY/296yhKnz6qJHwhnnXrVJlu3Fhc2YymMYXQCnny\nydRFUpm480716/s0Cz5Cp7Y2HO1533z6yLgp9uxRt0K2mTcbo08f3c6Zo9vvfKf+6NRn/hw4UB/0\n/qE0d64mnbv6apg+Pfw8ubrBMimOe+/NnMIbihPtk6noTZz4aKtM4bb+f+jxeZ98iU8jOdjCtFbI\nXXepaR5d/PXSS6oAvK/Xr8z1VoAv6uIfvBBaDdu35/aQGzZMlYhPdd0SvvAFjR7ykUH776/up127\nVKbt23Xy9/rr64/kvXUycGBYRvLFF5s3wZ1OppGwzyVUDIWQtMpyY8eq8s1GIfiMtz//eRiFZCQD\nsxBaIZmyXh52GPzud+GxH9F5C8GP2qL4yb+DDgpH102xZ4+u+gW1NlrKgQemrl8YMiScjzjvPN32\n7q3RUWec0fT1jjgi+yRwUdL7RB/6AweG8r38cmHnEDwHHlj498iG++5ThX3UUXoctaa8cogW8Ini\nF7gZySErhSAiq0XkJRFZJCILgrbeIjJPRFaIyOMi0jNy/lUislJEqkVkQqR9jIgsDV67Lf8fp7Tx\ntXJzZfZs9Zt7v3JDo8ft2zWtwLZtYchiQwqhW7fQtbJjhyZq8xk9G8P7hf/859SaBy3Fu0hGjQo/\n369/Hbq6Co2/T1VVulguWpnsl78M5WhoviGfVFdrCokkcM45+l3xCjNqIfi2TFXcrr02NStsJpzT\nGhnNYc8e/f6tXKn1Nkz5ZEe2LiMHVDrnouPEacA859wtIvLd4HiaiIwAzgZGAAOBJ0SkwjnngDuA\nKc65BSLyiIhMdM5lmRig9TNjhvrec50w/OxndRS9YIFOwvqH544dGi554YV6vHcvnHaaxsv7IjRf\n/apu00MBKyrqt732WtOTvBs2aGRStNB7vsh0X/IV798UnTurVeXvbfTe9OhRXJ++Xx+RJC65RN1y\nUYXggxEyuZEGDEiN0MrEsmVahW7PntxTa99/P5x7bmqbcxqOPGqUrlbftCksGGQoudzmdEP7NGBG\nsD8D8Dp4EnCfc67OObcaWAWME5H+QDfnnI9Qnhnp0yaZNCm1SHk0uVuuOKcpAu68M/zxvPCC5ufx\nsfz/+pf+IKqqwh+jd+9UV6cueho0qL5CiK7KbYgNG/IXg98Qjz6aulCsWEQf+tFRb7qPvC3SvTtU\nVqa6KzNVW/MupfJyDfutrVVL4sUX61/TV2Dz7sqHH9Y2Px/UGO+/X7/toos0VPe66/QamaLP2jrZ\nKgSHjvQXishXgrZy55xfi7oO8MF/A4C1kb5rUUshvb0maG+zzJmjoXjen59pBBxdmJUNdXVh8ZQ3\n39TtihW6jWbsjI7OOnfWCeDzztN0EJB53UA28wiPPVZ4hTB2rC4Wi5PoHML++8cnR9KIzrVkKtwT\nVQiLF4d1ppcuVevV8847YW3qhx9W99JnPqMBE88+mxr5tn59uErdObW0MymE3/9etzfeGLYlNXw3\nLrJ1GR3nnHtbRPoC80QkJXDPOedEJG+3dvr06R/uV1ZWUllZma9LJ5L779eRi18c9uST4QOvrEyT\ntZ15Zv1+L78c+qy9VVBXF/5Y/KRrptFXVCEccIBaCPvvH47KfF6gCy4Io0KaUgjOafK3T3yi8fNa\nA94N8pOfmEJoiLKy+nUbfJRb+j1btUrTgGzZoi5NX1wI4JprtFgShHM1550Hf/mLWiEvv6yDq5Ur\ndQI72/mVnj3VbVSKFl5VVRVV+Uo4FiErheCcezvYbhCRh4CjgXUi0s85Vxu4gwJ9Tg0wONJ9EGoZ\n1AT70faMgYlRhdBaiY78zztPfaV+1eyJJ2pxGF/O8ZVXwnO3b9cVxAcdpOf7H4i3Cnbtqr9uIFME\nUSaFMGpUONk8Y4YqgEMPDRVCYwuJ7rpL3VOQulCsteIVcHo1MSPkoYfql0L1brf0yKOFC3X79NP1\n/fof+1iYCuPnP9ft66/rd72sDH77W21LDycuK6uf76lr13Aye8gQrZKXj/UyxSZ9oHx9tEh5C2jS\nZSQinUWkW7DfBZgALAXmAJOD0yYDwdpU5gDniEgHERkKVAALnHO1wDYRGSciAlwQ6dMm8NWldu8O\nzWHP1q1hwjbQ1M3eB9uhg2YgXbtWE5yNH68ZJSHMwumVwO7d9RWCdx1FSVcIAIcfrmGZBxygk37R\n9A9f/nK4ViETXnn17t22Mlt+5CNxS5BM/vAHtXLvuCO13VvB6enBfc2JL35R0557rrtOLej05Hg9\ne4ZzE9F05FEypfaIKpvFizUbrhGSzRxCOfBPEVkMPAf8zTn3OHAT8EkRWQGcGBzjnFsOzAKWA48C\nU4MII4CpwJ3ASmBVW4swGjtWo3v23bf+Q/rll1PLOELovtl3Xzj+eM0170fp/qHvFYL3i9bVad6Y\n6KgnU2jmli1hnYDhwzWz6EEHwQMP1E/2tn27JnNbuVJz6PjIpChPPqmpqH094rbA3r1hOgYjZPXq\n+hE+oPMH3o3ZUBW8iRNTaydkiqj61KdCFxKk1rGO8u1vpx537x66M196SSPpQOc4mpOepTXSpEJw\nzr3unDs8+DvUOfejoP0d59xJzrlhzrkJzrktkT43OucOcs4Nd849Fml/wTk3Knjt8sJ8pGTypz9p\nlk3v/olm3PSkP7j9ZLD3w9bWhiawnzRLH7Xv3q2RQ5/7XOp1o0nqunZVa8NP6B1wgPZp315Hbukr\nbbt2VYVRXa3FY373u9QIpN27VY5+/Zq36KtUaUufNRc+8pH6YaKrVunAwltU0XvnlcN11+lAJTow\nyjQ/40umNkV6TqkPPggHK6NGhVYtNG79tiUsdUWRSE/H/F//Vf+c9JG5VwjXXqvbd98N5x68hbBm\njVoPy5aFqaB379bVs6Cm9Vtv6cirokIn3/r00Wv5cw4/vGn5039cF10U/qC8IvviF5u+jtE28Sur\nP/vZ+hPNXbrow7q8vH7t6qhC8KlKMk0CDxqkg5wofmAzYoRexzldoOat6ugalpUrm5eivbVhqSuK\nRKbqVt/9buin79xZv7DR+Haf6tmzc2doIfj5hjfeUH9/dHJzv/3C6/Tvr66nNWvCVdD+B+Ef8tkW\nRI+OoqJzHD/8oW6Tll/HSB4DB8K3vpXa5i2ETMEIvXqF+z5kNWrB+u9cNG+XZ8gQVR7Llmno6uOP\nq+WSbqUccEA4+GrrmEIoEtHauz7p2tFHhw9y7wKKLtVPVwg7doSTwRddpNs1a9QKiMZT9+qVWsEK\n1J/qJ98GDFBfroj2a8ifm87gwXr+pk16/ZUrNYvob39rqQGM5pNJIfjw1OgAyZ8XzZfk96PJBv0a\nmr59w3m4zp0z5/hatEhTmF96aea1C20NcxkViaiFMHRomAbhrru07aGHNK46usw/U2Wp9OX+b7yh\n7qDopFhUIfgf0Smn6KronTs1zUBLJn5799aJv+HDwzYfmmoYueIf1FFXUOfO+l2NRiN5ayBqIXTs\nqN/FaFvXrtmtqgd1l3pXa5cuOsC57rqcP0KrwSyEIhENBe3ePYzH9pNvp5+uysErhM6d1UI46aTU\n62zfrmGnoNfYulUthHSF4H8gn/40fPKT+j4/+AH8+MdqSuczRfOGDZkTmBlGY/gFk/67G/1O+pF/\n1A3preDofJY/L/r9O+WU3FKcjx8fVuBrA0ugGsUUQpGI1v6NmrfpS+f9F3zIEFUio0frQjXPli1h\nLLV3Bw0dGlogDz+s/tTevXV76aX5zTrqidbMbSthpkZ+OeII/Z4ff7weR63jTKlT/OCpZ8+wzfeJ\nKpN77kldzNkU7drBbbdp4EdZWdsOQTWFUCTWr4cpU3Q/ukpz1Kiw4heEX3CfU3/gwNTR0ltvhZEX\nXiGMHh1GH51yik4kt2unrqFCMXZsuB7Bwi+N5vL662Hm3ahCyGRxXnONLnSLnuddov435cun5pod\ndZ99tGZI165tu7SnKYQi8dZb4cg+qhD++79TIxy8iTw4SP5x8snhD6C8XC0EP/nmFcLAgfUXtRWD\n3/ymbY+mjPzgI+eik76XXhqGYa9erb+RL30JLr5YByB+gZn/LXXqpN/FTJXscmHgwPxU+itVbFK5\nwOzdqw/xNWtCv6ZfEAbhYjCPH237KIvhw0Pz2SsLrwh8vx494MEH43k4m3VgtJTTT1dLIUpZWZi4\nMVN6kCee0G11taZ5h/x8F8vL9bd6xBEtv1YpYgqhwBx9dPiF9a6hpqpqPf20pqH2OV28+et/NH5U\ndNBBuhWBCRMwjJJk+HC1NqNkG/QwfHhqtFtLefZZje5rq2HUphAKxLZtWufXKwPQ6J+1a5uehD3u\nuIZf69MndCF97GOZF7wZRilz8cWpqVeKyU03hZlX2yI2h1AgFi3SyIWhQ/XYj2IGNqMk0F//Gu53\n6xYqhAMPzH3yzDCSzPe/r6la4vpe9++fXSGo1opZCAXCT5Dtu68Wp48ml8uVb31Lc7wcc4zmZfHz\nCz4SyTBaC3lK699s+vQJVze3RcQlrIaciLikydQcnnpKF7z06KEKIRpaahhGMlm5UieUN24MB16l\ngIjgnGvxtLo5HArEDTfo1q8kNgwj+fTrpwtCO3XSVC9tDVMIBSK6OjiajMswjOQSXRD30kvxyREX\nphAKQPp6AIvVN4zSQCRcmNYWJ5dNIRSAaN4iwzBKiwEDNPx02rS2lxLbFEIBiCONhGEY+cNnAchU\nj7w1YwqhAEQVQqZyf4ZhJBvv9o2mrW8LmEIoAJs2adZR0NQVhmGUFj7k1BSC0WI2bdL0FDU1MGtW\n3NIYhpErX/qS/oZNIRgtZtMmTUA3YEBqJlPDMEqDDh00p1htLbz2WtzSFA9LXVEAvIVgGEbpsmwZ\nzJmj+60geUJWmIVQAEwhGEbp8+qrcUtQfEwhFABTCIZR+hx8cNwSFB9TCHlm1y544AHo2zduSQzD\naAlLl4b7774bnxzFxBRCHlm2TGsUQLg1DKM02XdfqKrSEp61tXFLUxyyUggi0l5EFonIX4Pj3iIy\nT0RWiMjjItIzcu5VIrJSRKpFZEKkfYyILA1euy3/HyV+/vEPrYj2qU9lrgNrGEZpMX68Ziy+6aa2\nkcI+WwsFWkOgAAAWDklEQVThCmA54OfapwHznHPDgPnBMSIyAjgbGAFMBH4l8mFqtzuAKc65CqBC\nRCbm5yMkg/PP13qsECbHMgyj9Dn1VHj44baRxqJJhSAig4BTgDsB/3A/DZgR7M8AfEnqScB9zrk6\n59xqYBUwTkT6A92ccwuC82ZG+rQK7r0X7rlH988/P15ZDMPIH1/4QugyqquLV5ZCk42F8DPg20A0\nqXO5c25dsL8OKA/2BwBrI+etBQZmaK8J2lsd116rWRINw2gdRMvf7tgRnxzFoNGFaSLyGWC9c26R\niFRmOsc550Qkr8s2pk+f/uF+ZWUllZUZ3zqRWHU0w2hdDBoU7r//PnTvHp8snqqqKqqqqvJ+3UZr\nKovIjcAFwG6gI9Ad+DMwFqh0ztUG7qAnnXPDRWQagHPupqD/XOA6YE1wziFB+7nAeOfcxRnesyRr\nKvuZkjvvhClT4pXFMIz84n/fn/883H9/vLJkoig1lZ1zVzvnBjvnhgLnAH93zl0AzAEmB6dNBmYH\n+3OAc0Skg4gMBSqABc65WmCbiIwLJpkviPQpeXbuDPfLyxs+zzCM0uaBB+KWoLDkug7BD91vAj4p\nIiuAE4NjnHPLgVloRNKjwNTIcH8qOjG9EljlnJvbQtkTQ9QiOPbY+OQwDKMw3H133BIUh0ZdRnFQ\nii6jgw7SvCcHHwzV1XFLYxhGIfBuI/94uvJKOPtsGDcuPpk8RXEZGdnh666+8kq8chiGUTh+/Wvo\n1Ss8/tnP4Ior4pOnEJhCyBOnnBKOIAzDaH2ceKLWOfnBD8LB35tvxitTvrF6CMCqVfDCC2r+5Upd\nnWY3nd1qpsgNw8hEp066DuH73w8rqe3eHa9M+abNWgh1dbqAbO9emD4dzjknt/6+CPcbb0D//poI\nyzCM1kuXLmHWU79iec+e+OQpBG1WIdTUwM03azK6Dz7Ire+f/wzt2+v+66/D0KH5l88wjGTRpUv9\nGsumEEqcPXv0b/NmPX777VAhvPeeThI1lZxu+fJwf/58GDKkIKIahpEgOnSoP09oCqHE+frXYdIk\n2LJFjzdsCCeG5s+H22+HkSMbv0ZZmW5POEHT4h56aOHkNQwjOfg5Az+gjC5KbQ20OYVw332aytb/\nQ6dNU7fP2LFaDAM0/3mUp55KHQl4d5E//4wzCimxYRhJo6YGevRQi6E1KYU2pxD86N5bCMuW6QTx\n2LFa4ObII+GjH9XIIRGNKhg/Xq0H0BKZjz6aes2BrTJvq2EYDfH44zpw3LUrfJa0BtqcQmgXfOLN\nm+GrX9X9YcN0tfGLL+rDf+1amBsk1vB1Vd94Q7dlZfDEE6klMi3CyDDaBqdnqOIyb17x5SgUbU4h\n+CiBtWvDkf0ZZ6TWQu7fH+64Q4///nfdvvJK6mTzySfr3EOJZdkwDKMFjBmTevz5z0PHjvHIUgja\nlEKoq4Pt2zUqaMUK9QE++yx885uhQujfH444Ap55Bi65BG4Lqj8vXw4LF+qKZICNG1PzpBuG0fq5\n+mp1Iz/2GFx+OXTrVn/OsZRpMwph7159iPfuDf36qULo3l0TU3XooPMGoOmrfYWkCy4IS+fNnavH\nFRX6Zbjllng+h2EY8dGunVoEEyboYLFrVx0o/u1vcUuWH9qEQpg3Tx/6GzZA37760F+1Si0ET6dO\numL58MM1V8nmzTrR3Lcv/Pvfes727WpJTJgAgwfH8lEMw0gQXbrAb34Dp56qxxs3xitPS2kTCmHt\nWg0bXbcuVAhQvxTeddfpP7h9ey2F2a4drF8PxxwDM2fqOfvvX1zZDcNILl27hvv//Kc+X0qZNpHc\nzk/8LlzYuEJojAsugOOOs1XJhmGEdOkS7i9erNvdu2GfEn2ytgkLwU/6/OMfOsL3CqFfv9yu89GP\nhmGrhmEYUQvh8st1u2NHPLLkgzbxeNu2TbePPQYDBoRFLvr3j08mwzBKn6iF4DGFkFB27VJ30bZt\n8IUvaNvgwboa+dhjbUGZYRgtI2ohgK5tKuVUFiXq6cqOQYPgxhtVIXz84+rXO/54TVf9r3/FLZ1h\nGKVO1EIoL4fOnc1CSCTOaZjp8uUaLtq9O9x1l9UuMAwjf3gL4f774bnnwqpqpUqrtRA2bNBtba0q\nhHTTzjAMo6UcdphuTzpJQ9U7djSXUSLxyehWrlQzzhSCYRj5pqwsNZ9ZqVsIrdZlVFuraSlWrjQL\nwTCM4tC1a1h3uRRptQphwwY4+GBdN7B6tSkEwzAKT/fuYZh7KdKqFULfvpqMbvNmUwiGYRSe7t3V\nI1GqtHqFcNBBerzffvHKYxhG66dbN7MQEolXCD5fUadO8cpjGEbrp1W7jESko4g8JyKLRWS5iPwo\naO8tIvNEZIWIPC4iPSN9rhKRlSJSLSITIu1jRGRp8NpthftIilcIEyfqqmTDMIxC07evZlUuVRpV\nCM65ncAJzrnDgdHACSJyPDANmOecGwbMD44RkRHA2cAIYCLwKxGR4HJ3AFOccxVAhYhMLMQH8mzY\noInsJk2yVcmGYRSHoUM1iKVUadJl5Jx7P9jtALQHNgOnATOC9hmALz09CbjPOVfnnFsNrALGiUh/\noJtzbkFw3sxIn4Kwfn3p5yY3DKO06N1bg1hKlSYXpolIO+BF4EDgDufcMhEpd855w2gdECSUZgDw\nbKT7WmAgUBfse2qC9rzz/PMwe3boMjIMwygW3bqVdpRRkwrBObcXOFxEegCPicgJaa87EXGZezeP\n6dOnf7hfWVlJZWVl1n1/8QutblZWZqGmhmEUl2IphKqqKqqqqvJ+3axTVzjntorIw8AYYJ2I9HPO\n1QbuoPXBaTVAtNrwINQyqAn2o+01Db1XVCHkiq9U1KcPfDh7YRiGUQSKpRDSB8rXX399Xq7bVJRR\nHx9BJCKdgE8Ci4A5wOTgtMnA7GB/DnCOiHQQkaFABbDAOVcLbBORccEk8wWRPnnl/WDGY+/eQlzd\nMAyjYbp2hffeK93nT1MWQn9gRjCP0A64xzk3X0QWAbNEZAqwGjgLwDm3XERmAcuB3cBU5z5M/TQV\nuBvoBDzinJub7w8DsGmTbks5wZRhGKVJu3aaTPPdd3Or2Z4UxLm8uv9bjIi4lsg0Zgy8+KIWrijl\nJFOGYZQm/fvDwoVaPa1YiAjOuRY7yVvdSuVNmzQv+eGHxy2JYRhtkdpamD8/bimaR6uzELp1g+pq\njQe2dBWGYRQbERg9GpYsKeZ7moVQj127tFrRgAGmDAzDiIcZM2D48LilaB6tSiFs2qSWgYWbGoYR\nF4cdpnMIe/bELUnutDqFYGmuDcOIk9GjtbbyCy/ELUnutCqFsHmzWgiGYRhxIQLDhsGbb8YtSe60\nKoXwzjumEAzDiJ/yck2weeWVpZXbKOvUFaXA5s3Qq1fcUhiG0dbp0wemTtX9886Do46KV55saVUW\ngikEwzCSQDTT8pYt8cmRK6YQDMMw8kyfPrrt1CnMr1YKtBqFsGGDziGYQjAMIymccoophKKzapWW\ny1yyxCaVDcOIn8pKuOQSTXBnCqHIPPSQbp9+2iwEwzDiZ+BALdbVubMphKLz6qua3RTMQjAMIzl0\n6qT1EUqFVqEQ3ngDTggKew4YEK8shmEYns6dS6s2S6tRCCefrPv9+8cri2EYhscUQgy88Qace64W\nxunQIW5pDMMwFAs7LTLvvw91dVoU54gj4pbGMAwjxCyEIrNxo64KtJTXhmEkDbMQisyGDeGqQMMw\njCRhFkKR2bjRFIJhGMmkc2etsVwqlLxC2LAhNZGUYRhGUmjfHp59Nm4psqfkFYJZCIZhJJXjjoOy\nMnAubkmyo6QVwq9/Dd/4hlkIhmEkk06ddLtzZ7xyZEtJK4RbbtGt1VE2DCOp9OwJW7fGLUV2lLRC\n8KXpzGVkGEZS6d5dMyisWxe3JE1Tsgph06YwnKtz53hlMQzDaIh33tHtSy/FK0c2lKxCqK6GUaNg\n/HhboWwYRnLZtEm3y5fHK0c2NKkQRGSwiDwpIstE5GURuTxo7y0i80RkhYg8LiI9I32uEpGVIlIt\nIhMi7WNEZGnw2m0tEfztt9UMq6qyDKeGYSSf6uq4JWiabCyEOuAbzrmRwDHAJSJyCDANmOecGwbM\nD44RkRHA2cAIYCLwK5EPE0vcAUxxzlUAFSIysbmC19ZaZlPDMJLP88/DrbeGrqMk06RCcM7VOucW\nB/vvAq8AA4HTgBnBaTOA04P9ScB9zrk659xqYBUwTkT6A92ccwuC82ZG+uTM229Dv37N7W0YhlEc\njjoKDj4Ytm2LW5KmyWkOQUSGAEcAzwHlzjk/b74OKA/2BwBrI93Wogokvb0maG8WZiEYhlEqdO8e\nRkUmmawVgoh0BR4ErnDOpXw055wDiroWzywEwzBKhW7dSsNC2Cebk0RkX1QZ3OOcmx00rxORfs65\n2sAdtD5orwEGR7oPQi2DmmA/2l6T6f2mT5/+4X5lZSWVlZX1zjELwTCMUqF79/wqhKqqKqqqqvJ3\nwQBxTSTZCCaEZwCbnHPfiLTfErTdLCLTgJ7OuWnBpPK9wNGoS+gJ4CDnnBOR54DLgQXAw8Dtzrm5\nae/nmpIJVBksXAgDm+10MgzDKA4bN+o8gg9BzTcignOuxVVhslEIxwNPAS8RuoWuQh/qs4ADgNXA\nWc65LUGfq4EvA7tRF9NjQfsY4G6gE/CIc+7yDO/XpELYswc6dtTCE/vum9XnNAzDiI0PPoCuXWHX\nrsIU8yqaQig2TSmEa66Byko4/3xYv77B0wzDMBKFCDz0EJze7NjKxq6dH4VQUiuV162DG2+ECRNg\n//3jlsYwDCM3kr44raQUwn/+A2PH6v7GjfHKYhiGkQs336wFvZJMVlFGSaGmBoYMUZdR165xS2MY\nhpE9w4fDk0/GLUXjlJRCeOstjSrydRAMwzBKhcMPh8WL45aicUrKZfTWW5bIzjCM0mTwYKir00W1\nSaWkFMK6dVBe3vR5hmEYSUMEjjwSXnwR/vhHmDo1bonqU1IuI1MIhmGUMlGFsHw5lJXBz34Wt1Qh\nphAMwzCKxJFHwtlnh8dPPx2fLJkoCZfRb36j5tbSpfCRj8QtjWEYRvM48kjd/t//aRh90mokJH6l\n8pYtqgROOEFjeJ95JkbhDMMwWsDevdCzJ6xZo6Hz3brB1q3qOmoJ+VqpnHiX0SuvaFKo2bObPtcw\nDCPJtGuXmvV0yBBYtQpGjoxNpBQS7zJauRIqKuKWwjAMI/8MHw4vvxy3FCGJVwivvgoHHhi3FIZh\nGPln/PhkrV5OvEJ480044IC4pTAMw8g/I0eqFyQplIRCGDy46fMMwzBKjfJyDadPCqYQDMMwYqJf\nv2QphMSHnXbrpllOu3ePUSjDMIwCsGcP7LOP5jjapwUxn22iQM727Rq3261b3JIYhmHkn/btdbvv\nvrBiRbyyQIIVQl0dLFkCQ4cWpgapYRhGErj1Vt3OmxevHJDghWmXXaYpK849N25JDMMwCscVV6il\nsGRJ3JIk1ELYuRMeeACmT4fbb49bGsMwjMLRrp0Wz1m6NG5JEjqpvGiR44ILknGDDMMwCs3mzZqz\nbcsWVRC50qonlWtrrTKaYRhth169NJJyzZp45UisQujXL24pDMMwiseYMfDcc/HKkFiFYIVwDMNo\nS5x0Elx0ka5NiItEKgSrjGYYRlvjzDPhvffijTZKpEJYvx769o1bCsMwjOLh3eQTJ8YnQyIVwvLl\nWhTHMAyjLbFkCWzaFN/kcpMKQUR+LyLrRGRppK23iMwTkRUi8riI9Iy8dpWIrBSRahGZEGkfIyJL\ng9dua+w9Fy+G0aOb+5EMwzBKk9GjNV3PkCFw773Ff/9sLIS7gHQjZhowzzk3DJgfHCMiI4CzgRFB\nn1+JfJh44g5ginOuAqgQkQYNo1mzoFOnnD5HUamqqopbhKwwOfOLyZlfSkHOOGR85hno0gVee63o\nb920QnDO/RPYnNZ8GjAj2J8BnB7sTwLuc87VOedWA6uAcSLSH+jmnFsQnDcz0qceZ56ZtfyxUApf\nZDA5843JmV9KQc44ZPzYx+Dmm2Ht2qK/dbPnEMqdcz6L9zrAxwQNAKIfYy0wMEN7TdBuGIZhpDFg\nALz9dvHft8WTykHxgmTlvzAMwyhhBgyAt96K4Y2dc03+AUOApZHjaqBfsN8fqA72pwHTIufNBcYB\n/YBXIu3nAr9u4L2c/dmf/dmf/eX2l82zvKm/5qa/ngNMBm4OtrMj7feKyK2oS6gCWOCccyKyTUTG\nAQuAC4CMeUzzkaDJMAzDyJ0mFYKI3AeMB/qIyJvA94GbgFkiMgVYDZwF4JxbLiKzgOXAbmBqpB7m\nVOBuoBPwiHNubn4/imEYhtESEpf+2jAMw4iHoq1UFpGJwWK1lSLy3QbOuT14fYmIHJFL34TIuVpE\nXhKRRSKyIFPfYskpIsNF5N8islNEvplL3wTJWZT7mYWM5wf/65dE5BkRGZ1t3wTJmaTv5qRAzkUi\n8oKInJht3wTJmZj7GTlvrIjsFpEzcu37IfmYiMhiUro9uiZhCLAvsBg4JO2cU1BXEuhE9LPZ9k2C\nnMHx60DvhNzPvsBRwA+Bb+bSNwlyFut+ZinjsUCPYH9igr+bGeVM4HezS2R/FLAqofczo5xJu5+R\n8/4O/A04o7n3s1gWwtHBzVztnKsD/oguYovy4WI359xzQE8R6Zdl37jljOZmLcakeJNyOuc2OOcW\nAnW59k2InJ5C389sZPy3c25rcPgcMCjbvgmR05OU7+Z7kcOuwMZs+yZETk8i7mfAZcADwIZm9P2Q\nYimEgcCbkWO/YC2bcwZk0TdftERO0PCvJ0RkoYh8pUAyNiVDIfvmSkvfqxj3M1cZpwCPNLNvS2iJ\nnJCw76aInC4irwCPApfn0jcBckKC7qeIDEQf9HdEZMuqbzrNDTvNlWxnruMOOW2pnMc7594Skb7A\nPBGpdpr6I9+0JBKgmFEELX2v45xzbxf4fmYto4icAHwZOC7XvnmgJXJCce4lZCmnc242MFtEPg7c\nIyLDCyBLoyJkdVKanIDPw5yk+/lzdP2XExEhfD7l/P0sloVQAwyOHA8mNZVFpnMGBedk0zdfNFfO\nGgDn3FvBdgPwEGqyxSVnIfrmSoveyzn3drAt5P3MSsZggvZ3wGnOuc259E2AnMW6l1nLGZHrn+jA\ntHdwXqLup8fLKSL7BcdJup9jgD+KyOvAGWhS0dOy7JtKoSdFgsmNfYBX0cmNDjQ9WXsM4cRdk30T\nImdnNIEfQBfgGWBCXHJGzp1O6qRyou5nI3IW5X5m+T8/AJ2cO6a5ny9mORP13QQOJAx5PxJ4NaH3\nsyE5E3U/086/C/hcc+9n3j9AI4KeDPwn+MJeFbR9Dfha5JxfBK8vAY5srG/S5AQ+GtzwxcDLccuJ\npgt5E9iKZqt9A+iatPvZkJzFvJ9ZyHgnsAlYFPwtSOJ3syE5E/jd/E4gxyLgn8DYhN7PjHIm7X6m\nnfuhQmjO/bSFaYZhGAaQ0BKahmEYRvExhWAYhmEAphAMwzCMAFMIhmEYBmAKwTAMwwgwhWAYhmEA\nphAMwzCMAFMIhmEYBgD/H9nq4nVPtmLGAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x14e47a50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEACAYAAABGYoqtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nnKuVJwnnnHO18iThnHOuVv8fHRRgDyt2RMEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x134838b0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKgaKoigKgP8PyDG9Vv2sa+0AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x129d66b0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqBgoiqIoAP4/xVGfHkqgl7cAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10813510>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10841710>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u81ea\u5df1\u76f8\u4e92\u76f8\u95a2\u3092\u6c42\u3081\u308b\u95a2\u6570"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def autocorr(dt):\n",
" import scipy.signal as sig\n",
" cor = sig.correlate(dt,dt,mode=\"full\")\n",
" return cor[cor.size/2:]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"sin\u95a2\u6570\u3067\u6319\u52d5\u3092\u30c6\u30b9\u30c8"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sin_wave = np.sin(np.linspace(0,20,100))\n",
"plt.plot(sin_wave)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"[<matplotlib.lines.Line2D at 0x14e5b950>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXl0XcWV7r8tWZZnGyPbkkfZWPI84ZlR2AxmCBA6JDFN\nAkkgkDyavKz0SwjpXjGr01ndnfVWeL0SEjIT0iEJU2IwBgxYeALPs63RsyxLxqNsy7asW++PfU80\nWPfq3nuGqjpn/9bysoZ7T22dOre+qr137SKlFARBEITokaXbAEEQBEEPIgCCIAgRRQRAEAQhoogA\nCIIgRBQRAEEQhIgiAiAIghBRXAsAEf2GiOqIaHuS1/w3EVUS0VYimua2TUEQBME9XqwAfgtgQaJf\nEtEdAEYrpYoAfBXAzzxoUxAEQXCJawFQSq0EcCLJS+4G8EL8tWsB9COiQW7bFQRBENwRRAxgCICD\nrb4/BGBoAO0KgiAISQgqCEztvpf6E4IgCJrpEkAbNQCGtfp+aPxnbSAiEQVBEIQMUEq1n2SnRBAr\ngMUAvggARDQHwEmlVF1HL1RKefovFlO46SaFp59WaGho+fnPf64wbJhCebm37Xn17/vf/752G4L6\nd/vtCvffr1Bd3fKzV19VyMtTeO21aN0LE5+Lr35VYexYhVWrWn62cqVCYaHCk09G616Y+s8NrlcA\nRPQSgBsB5BHRQQDfB5ATH9CfV0q9RUR3EFEVgLMAvuS2zVR59VXgk0+AZ54BurT6Sx97DMjJAebN\nA1asAEaNCsoioTUffABUVAC7dgFdu7b8/L77gBEjgDvvBO6+W599UWf9emDJEu6jHj1afn7ddcCW\nLcD06cA//ANwww36bBTc4VoAlFILU3jNE27bSZfGRuCf/xn43e/aDv4OX/4ysH8/8MMfAr/6VdDW\nCbEY8O1vA//+720Hf4fp04GnngJ++cvgbROYRYuAp59uO/g79O3Lv/u3fwOWLQvcNMEjQrsT+Ec/\nAmbOBEpKEr/miSd4lXD0aGBmpURJMqNDwssv8//335/4NY88Ahw6VIKqqmBsMp0gn4u1a4Ht24Gv\nfCXxa77wBaCqClizJjCz/k4UPiNBQG59SF5BRMorWw4cAKZNAzZtYldCMh55BBg5Evje9zxpWkiB\nixeB8eOBX/yC3XDJ+Nd/ZTfez2T7YKAsWADcey/w+OPJX/eLXwCvvw4sXRqMXcLlEBFUhkHgUArA\nQw8BhYXs+++M7dv5Yd+7t2NXhOA9P/kJ8OabwNtvd/7a+npgzBigrAwYJNsHA+Gjj4CFC9n339ln\n4sIFoKgIeOUVYNasYOwT2iIC0Ipz54CCAl6aDhiQ2nvmz+el7gMPuG5e6ITmZmDoUJ4xTp2a2nu+\n9jXgyiuBH/zAX9sE5tZb2TX36KOpvf6557g/33jDX7uEjnEjAKGLAbz1FjB7duqDPwB84xvAs88C\nhmhhqFm1igU61cEfAL71LeD554EzZ/yzS2B27AB27wYefjj193z5y8DmzcC2bb6ZJcQ5eRI4eLDz\n16VK6ATgL38BPvvZ9N5z553A8ePAxx/7Y5PQwquvcppnOoweDdx0E2d0Cf7y+uuc2pmTk/p7unUD\nHnyQP3uCv/zxj97GK0MlAGfPAu+8A3z60+m9Lzsb+Kd/Yt+04B+xGPDaazzApMuDD/LgJPjL3/7G\nwd90uftuYPFi7+0R2vLmm8Bdd3l3vVAJwJIlwJw57C9Ol/vvZz/mpUve2yUw69cDvXsD48al/975\n8/n9p097b5fAHDwI7NvHG73SZfZs4MgRTqYQ/OHsWXah3nabd9cMlQC8/HL67h+HwYOB4cM5/1nw\nh0xn/wDQsydwzTXAu+96a5PQwuLFwB13dLxxsjOys3lmKoFg/3jvPd7b1Levd9cMjQCcOcODQybL\nV4fbb5d8Zr9QKjP/f2vuuotXeYI//O1vwD33ZP5+cQP5y5tvAp/6lLfXDI0ALFnCM8RM3D8OIgD+\nsX07p4BOc3Eg6J13cpZXLOadXQJz8iQnQbhxL9xyC7BuHV9L8JZYzHv/PxAiAcgk+6c9c+cCe/aw\nL1PwFmf2TxllKzMjR7LAb9jgnV0Cs3QpF3Xr1Svza/TsCdx4Y2ob/IT02LQJ6NePM+K8JBQCcO4c\n+8fcLF8BTn2bP1/8zH7w2mvu3D8O4gbyB7fuHwdxA/nDG294P/sHQiIAa9cCEyYA/fu7v9aCBeIG\n8prKSq7nM3eu+2vdeacIgNdcuMCzdi/8y3fdxddqanJ/LaEFP9w/QEgEYMUK72qSL1jAK4DmZm+u\nJwDvv8++5SwPnrZrrgGqq4HaWvfXEpjSUi7Ol5/v/loFBVwbaOVK99cSmJoaTq+99lrvrx0KAfjw\nQ+8EYOhQYMgQDmYJ3rByJXD99d5cKyeHxeStt7y5nsCbJ++4w7vriRvIW5Ys4YlpJum5nWG9AFy8\nyIO1l+oo2UDesmqVdwIAsBvozTe9u17UWb3a2/6ZN09WAF6ydCk/835gvQBs2AAUF3u7OeL22yWT\nwSsOHADOn2e3gFfccguv+iQd1D3nznEBuJkzvbvm1Vdz+W4p3ucepVig/Tp203oB8NL/73DttfwA\nHz/u7XWjyKpVXFrATfpne/LzOSWuvNy7a0aVDRuAiRM7PvYxU3JzudqruFHdU13N93PYMH+uLwLQ\nATk5wIwZ8gB7gSMAXjN3Lh9cIrhj9WoOrHvNtdfqOSoybHz0kTfZc4mwWgCam733XzrMmSPlob1g\n5UoRAJNZvdqf7JJrruFrC+5Ys8YfgXawWgC2buWMnXQOf0mV2bOlMJxbTpzg6pJuyj8kQgTAPbEY\nDzB+CMDcuTyBkjiNO2QFkAQ/3D8OjgDIA5w5q1fzffQjfW3yZGD/fuDUKe+vHRXKyjiWUlDg/bUH\nDQLy8vh0MSEzGhr4aFs/JlAOIgAJyM/nzKLKSn+uHwW8Tv9sTU4OZ5vIKi1z/HL/OIgbyB3r1nEw\nvWtX/9qwVgCUYgHwa4ABJA7gFr8CwA7iBnJHEAIggeDM8dv/D1gsALt3A336+JceBUgcwA3nzwNb\ntrCI+oXjZxYywy//v4MIgDtEAJLg9+wSkBWAG9av5/oyPXv618bcuRKnyZT6euDoUS6i6BcTJnA7\n9fX+tRFWYjEee/wMAAMWC8DGjd7uXuyIadN4s9HZs/62E0a8rP+TiIEDgSuukA1hmbBmDU9wvCjQ\nl4isLG5D3HTpU1bG1Y0HDfK3HWsFYNMmDgL6SW4uMGkSi42QHmvX+uv+cZA4QGb47f93EDdQZvid\n/ulgpQA0NQE7d3KE3G8kDpAZmzf7L9CACECm+O3/d7j2WskEyoQg/P+ApQKwaxdQWOivf9lB4gDp\nc+wY5+ePHOl/WyIA6dPczJsop0/3v61Zs3gyIAfEpIesAJIQhPvHwfFhKhVMe2Fg82ZenfnpX3aQ\nDWHpU1nJ+1z69PG/rd69OVNP4jSpc+oUV9GdNMn/tkQAOqGwELh0CTh0KJj2wkCQ/dOlC4uNxGlS\nxxHooJg6ldsUUmPrVh78/dhB3x4RgE4gEjdQumze7O/29fZMncofGiE1tmwJvn+2bAmuPdvZujU4\ngbZOABz/ZZAzmOnT5QFOh6AFYMoUEYB00LECkM9P6mzZws90EFgnABUVLQeCBMXkyTLApMqZM8DB\ng8DYscG1OWWKDDCpohTfKx0CIHG01Aiyf6wTgE2bgsleaI3MMFNn61beAZyTE1ybEyfyxODixeDa\ntJXaWv5/8ODg2szP5+dB4mid09TEZW6CCAADlgpAUP5/h8JCjszLEZGdE1T+f2u6d+c+KisLtl0b\ncdw/Xh7RmQriBkqN8nLOmgoixR0QAUiJrCxW5G3bgm3XRoL2/zuIGyg1gg4AO0ybJv2TCkHHN60S\ngFhM7wAjAtA5uvpHMoFSI+gAsIOsAFIjyAAwYJkA7N3Lh7Tk5QXftgSCO+fiRXbDBOW/bI2sAFIj\n6ACwg+wFSI2g+8cqAdDh/nGQQHDn7NzJ5R969Ai+bad/JNMkMadOAUeOAMXFwbc9ejSXhT55Mvi2\nbUEpcQElZeNGfQIwaRLXILp0SU/7NqAjAOyQnw9kZwOHD+tp3wa2beOMqezs4NvOzpY4WmfU1rII\n+HFGcyKsEgBd/mUA6NWLU+fkjODE6OwfInEDdYauALCDxAGS47h/gszQskoAtm9nX7wuxA2UnE2b\n9A8w0j+J0RUAdhABSE7Q7h/AIgE4fpxP5vLzDODOkEygxMRifG90DjAi0MnRvQKQVNDkBJ0BBFgk\nADt38g7ToDewtEYygRKzfz9naF1xhT4bxAWUGCdDa+JEfTZMnMg2yI7tjtGRoeVaAIhoARGVEVEl\nEX2ng9+XENEpItoc//cvmbSzc6fehxeQGWYydu7094DxVBgzhusQyRnOl1NWBowYoSdDy6FHD9mx\nnYizZ/nZHTMm2HZdCQARZQP4CYAFAMYDWEhE4zp46YdKqWnxfz/IpK0dO/QPMIWFQEMDn3gltMUE\nAcjJAcaN41iR0BYTJlCArKITsX07P7tB1tAC3K8AZgGoUkrtU0o1AfgTgHs6eJ1rx40JDzCRpLIl\nwgQBAGSVlghT+mfCBE6nFtqybVvw/n/AvQAMAXCw1feH4j9rjQJwDRFtJaK3iGh8Jg2ZsAIAJBCc\nCFMGmMmTpX86YtcujqHpZsIEflaEtuj6/Lg9dCyVfZebAAxTSp0jotsB/BVAh3sRFy1a9PevS0pK\nUFJSAoB3EMZivNlHN1OmyOlg7YnF2K9rygCzeLFuK8zDFIEeP15WAB2xaxewYEFqry0tLUVpaakn\n7ZJysXeeiOYAWKSUWhD//rsAYkqp/0zynr0Apiuljrf7uUpkywcfAIsWAStWZGyqZ3z0EfDkk8D6\n9botMYfqauCmm/gga93U1PB5EUeO6LbEHM6f5+ysU6eArl312tLUxIfRHz/OZbwFZsgQYM0aDtSn\nCxFBKZWRm92tC2gDgCIiKiSirgA+B6DN/IuIBhFx8iYRzQKLTlqV9U3w/zuMG8ezXak504Ips0uA\nd2s3NkqgvjUVFVyjSffgD3CQc/RoyQRqzcmTwOnTwPDhwbftSgCUUpcAPAHgHQC7APxZKbWbiB4j\nosfiL/sMgO1EtAXAswA+n247pvj/AT6KsndvTtkSGJMEgIjdDLt367bEHEzqH0DcQO3ZvZsnljr2\nOLmNAUAptRTA0nY/e77V1z8F8FM3bezcCSxc6OYK3uI8wDoU20R27gTmz9dtRQtO/1x3nW5LzMCU\nALCDZAK1RWf/GL8TWCmzVgCAzDDbY5KLDpAZZntMXAFIJlALTpUDHRgvADU1QG4uMGCAbktaGDdO\nBhiH5mY+x3RcR9v/NCEC0BadA0xHSP+0RVYASTBtdgnICqA1e/YAgwZxuWxTkAGmhQsXODtLxyEw\niSgq4hja+fO6LTEDEYAkmOb+AVpWAJIJZJ57AeCKsSdPctpj1CkvNycDyCEnBxg1im2LOqdPc8Za\nYaGe9o0XABNXAAMGAFlZQF2dbkv0Y6IAZGWxSMsqzbwAsIOs0piyMmDsWH5mdWC8AJi4ApBUwxZM\nFABABhgHU/tHSkIwuuMzRgtALMYfYhMfYAkEM6YOMCIAjO4BJhHSP4zuFZrRAnDgAB8y0q+fbksu\nRx5g4NIlPiPZpAwgB+kfxtQJlPQPIwKQhLIyMwcXQFxAANcAKijQe8hIImSA4QygffvMygByKC5m\n2y5c0G2JXkQAklBezgESExEXkP6HNxmFhVxF9swZ3Zbow6QaQO3p2pVtq6jQbYk+zp7lRJJRo/TZ\nYLQAOBFyExkyBDh3jqsaRhWTV2jZ2Xy8XpSLjpkan3GIeiC4rIxXQtnZ+mwQAcgQIkk1NHmFBogb\nyOQVGiD9Y0KAXgTABVF/gMvKgj/EOh2kf+TzYzImCLSxAnDyJPtvh7Q/YNIgohwIVkoGGNMxfYU2\ndmy0dwPv2qXfhWqsAJSX8+xSR43sVIlyILiuDujSBbjySt2WJCbKVSdjMU7RNTEDyKGoCKiq4oKC\nUcSEGJqxAmC6ewGI9gzT9NklwNkVNTXRTDU8cIDF2aQife3p2ZPLquzfr9uS4Ll4kfvoqqv02mG0\nAJg+wIwYwYWcGhp0WxI8NvRPTg73UVWVbkuCx4YJFMDPUBQztfbs4aKFubl67RABcEF2Np9vGsVc\nZlsGmDFjoulndlyophPV/jHl82OsANjgYgCi+wDb0j9RDTTaMIECov35EQFIQFMTL5GKinRb0jlR\nfYBNmcF0RlQ3g5kywHRGVF1ApvSPkQKwdy+nf3brptuSzomiADQ2AocP81Z+04li/wD2rNCi3D8i\nAAmwZfkKRPMBrqriDJucHN2WdI7TP1E6ve30ad5HM3Sobks6Z8gQtjdqp7eZItAiAC4ZM4aDwLGY\nbkuCwxb3DwDk5fFekqNHdVsSHBUVnP+v65SpdMjKit4k6pNPuJT6wIG6LREBcE2fPvyvpka3JcFh\nU/8QRW+AsUmggej1j0mbXEUAPCCqD7AtSP+YTdQC9Sb1j3EC4NSYMeUGpULUBhjbBDpqqaCm+JdT\nJYr9Y8r4ZpwAOL7aAQP02pEOURIApcx6gFMhSv0DyATKdEwSaOMEwLk5JvjHUiVKD/Dhw3wE5BVX\n6LYkdaLkYmhu5iwtk4vAtae4OFpF4UwSaOMEwKSbkypREgDb3D8AF9w6cIALcIUdG4rAtSdKReGa\nmvgs5NGjdVvCGCcAJi2PUqWwEDhyhDdIhR0bBTo3l3Pi9+zRbYn/2Pj5AaIzidq7Fxg82JxNrsYJ\ngJPDbBNduvDGqChUnZQBxmxsFGggOm460z4/xgmAbQFGh6gMMOXl9gk0EK3+MWmASZWoZAKZNr4Z\nJQBNTewH1H1IQiYUF0fjAa6oMOsBThUZYMwmKisA01ZoRgnAvn3sH9N9SEImRGGG2dgI1NbaUQSu\nPVHoH8BuAZD+CR6jBMBW9wIQjQe4upoD3l266LYkfaIwwzxzxp4icO0ZOjQaReFEAJJgq3sBiEbV\nSRsD9A6DBrGL8dgx3Zb4R0UFpxfaUASuPVlZfP5HZaVuS/zjxAng/HmgoEC3JS0Y9ajYPMDk5fER\nkfX1ui3xD5v7JwpF4WzuH4BtD/Pxqk7/mLTJVQTAQ6IwwNi6QgPY9jDPMG3//ERFAEzCKAGwOQYA\nhF8AbO+fsGdqmTjApEMUBMC0CZRRAnDiBDBsmG4rMsc5HCasyABjNtI/ZmNi/xglALYGsBzC/AAf\nP84BrPx83ZZkTpj7RykzB5h0cPonrIkUJq6gjRpuTbs56RLmAaay0rwAVroUFXG5jjAe33n0KKfn\nXnmlbksyp39/3gN05IhuS7wnFuPPUFGRbkvaYpQAmOYfS5erruJiT5cu6bbEe0z0X6ZLr15cxvrQ\nId2WeI+Js8tMCOsk6vDhluNjTcIoAbD9Ae7enV0kYSxrKwOM2dju/nGQ/gkWEQCPkQfYbKR/zEb6\nJ1hEADwmrJlApj7A6SIDjNlI/wSLUQJgcwDLIYwPsBPAMvEBThcRaLMJ4+cHMLd/XAsAES0gojIi\nqiSi7yR4zX/Hf7+ViKa5bdNkwvgAmxrAyoQw9k9zM592Zsoxg24YPTqciRShFAAiygbwEwALAIwH\nsJCIxrV7zR0ARiuligB8FcDP3LRpOmHcbRqWADDApawPHQrX+cAHDgADBwI9eui2xD1hTKRoauI+\nMvGcE7crgFkAqpRS+5RSTQD+BOCedq+5G8ALAKCUWgugHxENctmusQwfzjnZ587ptsQ7TJ29ZEJO\nDvdRdbVuS7wjTAINhG8StXcvl7vu2lW3JZfjVgCGADjY6vtD8Z919hoLK5anRnZ2+M4HDpMAAOFz\nA0n/mI3JAu32aI9UN2233z/a4fsWLVr0969LSkpQUlKSkVG6cR7gyZN1W+INFRWApV3RIWEbYMIo\nAGE6vMfr/iktLUVpaakn13IrADUAWpdvGwae4Sd7zdD4zy6jtQDYTBgHGNt3AbemuBjYuFG3Fd5R\nUQHceaduK7yjuBhYvFi3Fd5RUQFMmeLd9dpPjp955pmMr+XWBbQBQBERFRJRVwCfA9C+6xYD+CIA\nENEcACeVUnUu2zWaMAnAxYscwBo1Srcl3hGm/gHCuQKQ/gkGVwKglLoE4AkA7wDYBeDPSqndRPQY\nET0Wf81bAPYQURWA5wF83aXNxhOmB3jPHi7RbWIAK1PC1D+NjVw8bcQI3ZZ4x4gRfLJeWBIpTBYA\n18d7K6WWAlja7mfPt/v+Cbft2ESYBpiwuX8AYPBgPoD89Gn79zZUV3NqaxfXn2RzyM7mlMmqKvvj\naGfO8DknQw1NezFqJ3BYGDgwPAeQm5zBkClhOoC8vDx8Ag2EJxW0stLsc04MNctuiPgBDsMAY/Ly\n1Q1hKQkR1v4Jyyra9BW0CIBPhGWAkRmm2Uj/mE15uXmHwLRGBMAnwjSDkRmmuYS1f2QCFQwiAD4R\nhgHm1CkOYg1pv7c7BIRphmnyAJMpY8bw32b7+cDiAoooYRhgKip4+WrzOcCJcGaYNg8wx45xJdAB\nA3Rb4j15efz/J5/otcMNSpmfRCEC4BNOlonNB5CH1b0AAP36cfXM2lrdlmSOM/sPo0ATtawCbKWu\njg+5799ftyWJEQHwid69+QDygwc7f62pmL58dYvtq7QwCzRgvxvVBvecCICP2B7IMn356hbpH7Ox\nfQVgg0CLAPhIGB5g02cwbpD+MRtZAfiPCICP2OxiUKolCBxWbO4fQFYApmND/4gA+IjND/Dhw0DP\nnhwsDSs2u4Cam7kOUJgFevRoLkbY3KzbksywYYUmAuAjNguADQ+vW0aN4iC9jecDHzjAqZI9e+q2\nxD969AAGDQL27dNtSfo0NfG5xiaeA9waEQAfKSzksraNjbotSR8blq9u6dqVS13beD5wFAQasHeV\ntncvb6DMzdVtSXJEAHzEOR/YxqJwMsCYTRQEGrA3TmNDABgQAfAdWx9gG1LYvMDm/rFhgHGLCLS/\niAD4jK1xAFseYLfY2j8i0GZji0CLAPiMjQPMxYscHDU9gOUFNs8wbRhg3GJz/9gg0CIAPmPjA7x3\nLx9hF6ZzgBNh4wyzsZGTC8J0DnAihg3jgnBnz+q2JD1kBSAAaBlgbKo6acvsxQsKCnhAPXFCtyWp\nU1nJyQXZ2bot8Z/sbN4PYFMixenTQEMDnz1tOiIAPpOXxw9xfb1uS1KnvBwYO1a3FcHgHN9p0yot\nKv5/B9tWac4pYKaeA9waC0y0H9viALt3R0cAAPv6J0orNMA+N6ot7h9ABCAQbBtgysqiJwA2DTBR\nCQA72Pb5sUmgRQACwKYBRikWgHHjdFsSHLa5GHbvjlb/jBnDz6QtyApAaINNA8zRo+wXd47kiwI2\nzTAdgY7SCm3sWLsSKcrKZAUgtMKmAcYZXMJ4zGAiiouBqio7qk7W1HABuCuu0G1JcPTrB/TqBRw6\npNuSzonFeAVgi0CLAATA6NFcGbCpSbclnRO12SXAg0teHveR6USxfwB2edngBtq/H7jySj4S1gZE\nAAIgN5crA+7Zo9uSzolaBpDDuHH8t5tO1Pz/DmPHSv/4gQhAQNgywER5hin9Yy629I8IgNAhtjzA\nMsCYjW0DjFeMHWuHC8i2DDoRgIAYPx7YtUu3Fck5dw44cgQYOVK3JcFji4tBBNpsbHOhigAEhA0P\ncGUlVwDt0kW3JcHj9I/JqYanTnGdmaFDdVsSPEOGcEE4k2s2KWXfCk0EICCcLIZYTLcliYnq7BIA\nBgzg2i11dbotSUxZGacU21BjxmuIzHcDHT3KIjBwoG5LUieCj5Ie+vYF+vQxO5fZtuWrlxCZn2po\nm3/Za0xfRTuzf5v20IgABIjpcYAorwAAOwaYKPeP6SsAGz8/IgABYvoAY+MD7CXSP2Zjev/Y5v8H\nRAACxeQH2LYt7H5gcv8Adg4wXmL6CsDG/hEBCBCTB5gDB3gLe69eui3Rh8n9c/EilxkYPVq3JfoY\nPZrPqj5/XrclHSMCICTFiQGYmGoYdfcCAAwfzmmGp0/rtuRyqqrYvtxc3ZboIycHKCzke2EaZ87w\n2cW2ndMsAhAgAwfy4H/0qG5LLifqAUaA0yuLi810M4hAM6au0pxjIG07p1kEIECcVEMTH2AZYBhT\n+8dG94IfmLpj29b+EQEImPHj5QE2GVMFQASaMXWvhq2fHxGAgBk3zry9AEoBO3YAEyfqtkQ/pgqA\nuOgYU/vH1k16IgABY+IDXFvL9X9s2sLuFyb2TyzGPmYbBxivcc7XNq2kiqwAhJQwcYCR2X8LRUWc\nEnvhgm5LWti3j49F7NdPtyX66dMH6N+f74kpNDUBe/fys2MbIgABM3w4cPKkWamGIgAtdO3KqXwm\npRru2AFMmqTbCnOYNAnYvl23FS1UVXGF1m7ddFuSPiIAAZOVxctYk1YBIgBtGT8e2LlTtxUtbN8u\n/dMa0wRg+3Z7BTpjASCi/kS0jIgqiOhdIupwgUpE+4hoGxFtJqJ1mZsaHkxzA4kAtEUGGLOZOJGf\nWVOwuX/crACeArBMKVUM4P349x2hAJQopaYppWa5aC80TJhgzgMci3FW0oQJui0xh8mTgW3bdFvR\nggh0W0SgvcONANwN4IX41y8AuDfJay2qkO0/kyeb8wDv28dBtb59dVtiDiYNMBcvAtXVdmaY+MW4\nccCePeYE6rdti6YADFJKOecn1QEYlOB1CsB7RLSBiB510V5oMGmGKbPLyxk9mk8Ga2jQbQmnfxYW\n2hlg9IvcXD632oQNYQ0NfI62rUX6kp7+SkTLAOR38Kvvtf5GKaWIKFGJs2uVUrVENADAMiIqU0qt\n7OiFixYt+vvXJSUlKCkpSWaetQwdyhUN6+v1596LAFxOdjbPMnfsAObO1WuLBIA7ZtIk7p8pU/Ta\nsXMnPytB1gAqLS1FaWmpJ9dKKgBKqVsS/Y6I6ogoXyl1hIgKANQnuEZt/P+jRPQ6gFkAOhWAMEPU\n4gaaP1+vLTt2AAsW6LXBRBw3kG4BkBTQjpk40Qw3nQ7/f/vJ8TPPPJPxtdy4gBYDeCj+9UMA/tr+\nBUTUg4h8K7+PAAAPK0lEQVR6x7/uCeBWAAZ0m35McQPJCqBjTInTyAqgY0yJ09gcAAbcCcB/ALiF\niCoAzIt/DyIaTERL4q/JB7CSiLYAWAvgTaXUu24MDgsmCEBTE1BZKQHGjpg0SX//ALICSIRJAjB5\nsm4rMoeUIaeTEJEyxZYgWLsW+PrXgY0b9dmwaxdw771cW0VoS309F187doxddjpoaADy83nXuG11\n5v0mFuOyEDU1+jLYlALy8jgOkN9RpDQgiAhKqYyeUtkJrIkJEziL4dIlfTaI+ycxAwfyCVQ1Nfps\n0BFgtIWsLP37aWpr2Y5BifIfLUAEQBO9egGDB+utOSMCkBzdbgbb/ct+Y0r/6FoheoEIgEZ0xwFE\nAJKjOxAs/ZMc3ZlAYRBoEQCNiACYje5AcBgGGD8xZQVgMyIAGtE5wJw7Bxw8aGcN86CQFYDZOJvB\ndOWOiAAIrtC5Ati6lcse5+Toad8Gxo/nNNmmpuDbrqsDmpuBgoLg27YFJ1B/+HDwbV+6xEkcthdR\nFAHQyKhRwCefAKdOBd/2xo3A9OnBt2sT3bsDw4ZxPZ6gcQqM2RxgDAJdbqDKShbnXr2Cb9tLRAA0\nkpWlL5AlApAautxA0j+pMXkysGVL8O3avgHMQQRAM7rcQDLApIauOM2GDcCMGcG3axszZujZTLl1\nqwiA4AE6BKCxkfcf2B7ACoKpU4HNm4NvVwQgNWbOBNavD77d9evD0T8iAJqZPJlnE0GydSuXOcjN\nDbZdG3EGmCAzTY4eBU6eBK66Krg2beWqq/heHT0aXJtKsUDPnBlcm34hAqCZqVPZnxhkpom4f1Kn\noADo0YNPoAoKp3+y5NPZKVlZfK82bAiuzepqoGdPvfV/vEIeMc306cMnPgUZaBQBSI9Zs4J1M4j7\nJz1mzgxWANavD8fsHxABMIJZs4B164JrTwQgPWbODLZ/RADSY8YMEYBMEQEwgNmzuTx0EDQ2cg6z\nBIBTJ+hAowhAegTdPyIAgqcEuQLYtg0YM0YOGU+HGTM4EyiI0t21tSzShYX+txUWhg/nGFoQO4Iv\nXeJnISwCLQJgABMnAvv388EffiPun/Tp2xcYOpQP0PGbjRt5cJEdwKlDFJwbaPduLuPer5//bQWB\nCIAB5ORwNlAQD7AIQGYEtUpzBEBIj6DcQGFy/wAiAMYQVBxABCAzghpgxP+fGUGtAEQABF+YPdv/\nGeb583z+bxi2sAdNEALgbDASAUgfRwD83rAnAiD4wqxZvALw8wHetg0oLpYAcCZMncrlfxsb/Wvj\n8GE+7HzoUP/aCCuDBwNdu3IszS8uXOA40LRp/rURNCIAhjBiBNd/P3TIvzbWrZPZZaZ068YHtPtZ\nedKZ/UsAODP8dgNt3coHKPXo4V8bQSMCYAhE/gcaP/wQuOEG/64fdvzuH3H/uGPGDH/ddGFz/wAi\nAEbhZyBYKRaAG2/05/pRwO84wMqVwNy5/l0/7Pi9Y1sEQPAVPwPBu3fz6UUjRvhz/Sjg5wDT2Mgr\ngOuu8+f6UeCaa/genj/vz/U//phXgWFCBMAgZs7kNM3mZu+vXVoqs3+3jB/PR3geOeL9tdesAaZM\nsf+IQZ306cObKtes8f7aNTVccjpsGXQiAAbRrx9ngPhxQMyHHwIlJd5fN0pkZ/M9fP9976+9fDlw\n003eXzdqzJ8PfPCB99d9/33un+xs76+tExEAw5g/H3jvPW+vqZSsALzi5pu97x+AB61587y/btSY\nN88/AZg/3/vr6kYEwDBuvRV4911vr1lWBnTvLgXGvODmm4Fly7zdr9HQwKs+CQC7Z+5cPlujocG7\nayolAiAExE03cbDp3DnvrinuH+8oKmI3QHm5d9dctYrjP927e3fNqNK9OwdqV6zw7prl5XzyWFGR\nd9c0BREAw+jdG7j6am8f4NJSEQCvIPLeDfTBB+L/9xKv3UDO7D+MG/REAAzkttuAd97x5lri//ce\nxw3kFcuXi//fS7wWgPfe4z4PI6T8rp6UIkSkTLFFNxs2AA89BOzc6f5a5eUcV9i3L5wzGB3U13NN\npU8+Abp0cXetEyf4QJNjx7iWjeCepiYgL48Pb8/Lc3et5ma+xq5dQEGBN/Z5DRFBKZXRp1tWAAZy\n9dU8yBw86P5ajvtHBn/vGDiQA+pe7ApesYI3MMng7x05OcD11/Oz75ZNm4AhQ8wd/N0iAmAgWVne\nuRnE/+8PXvWP+P/9wSs30HvvhTP7x0EEwFBuvdV9HKCxEXj7bWDBAm9sElrwKhAs/n9/mDfPmw17\n778fXv8/IDEAY6mp4W3n9fWZ7z589VXgZz/zZ+NS1Dl7Fhg0iMtCZFq+obKSa//U1LiPJQhticWA\n/HwurjhyZGbXaGwEBgzgcxr69PHWPi+RGEAIcfyOGzdmfo2XXgIWLvTOJqGFnj0539zNLPMPfwAe\neEAGfz/IygI++1ngxRczv8bbb3OJaZMHf7eIABjMbbcBb72V2XtPnWIf9X33eWuT0MIDDwC/+11m\n743FgN//HvjiFz01SWjFww8DL7yQ+a7tX/8a+NKXPDXJOEQADOYLXwB+85vMqoO+/joHF6+4wnu7\nBOZzn+Mge21t+u9dvZpdR1Onem6WEGf6dD7JbdWq9N97+DBXFf3MZ7y3yyREAAxm6lR2BS1Zkv57\nX3qJZ6iCf/TuzQPECy+k/94XX2SBl/Rc/yBqWQWky+9/z33bs6fnZhmFBIEN58UXgT/+EVi6NPX3\n1NUBY8dycDFM55eayNq1wD/+Iwd0Ux3MGxtZ2Ldv5/8F/6it5XMcDh1KfTBXChgzhkVgzhx/7fMC\nCQKHmPvv50BwdXXq7/nLX4C77pLBPwhmzeICZB9+mPp73niDg4sy+PtPQQFXCH399dTfs3o1B+Zn\nz/bPLlMQATCcbt14Gfvzn6f+HnH/BAcR8MgjwC9/mfp7HPePEAwPPZSeG+jXvwa+8pVouOfEBWQB\n1dW8FD1woPOSwevXA5/6FJeRyMkJxr6oc/w4MGoUsGcP0L9/8tfW17N74eBBOf4xKM6f59XWli3A\nsGHJX9vQwK8pL+d9HjYgLqCQc9VV7DJ4+eXkr2tqAh59FPjRj2TwD5L+/YE77uC8/s74l3/h1ZkM\n/sHRrRvw+c/z56Iz/vAHzp6zZfB3jVIqo38A7gewE0AzgKuTvG4BgDIAlQC+k+R1SkjM4sVKTZ2q\n1IULiV/zX/+l1C23KBWLBWeXwKxdq9SgQUrt2ZP4NW+8oVRhoVKnTgVnl8AcO6bUsGFKLV2a+DUV\nFUrl5Sm1YUNwdnlBfOzMbBzP+I3AWADFAJYnEgAA2QCqABQCyAGwBcC4BK/18RbZxfLlyy/7WXOz\nUp/+tFILF/LX7amuVurKK/n/MNHRvTCVZ59lkT579vLf1dcrVVCg1IoVmV/fpnvhN5nci+XLuQ+O\nHLn8d2fPKjV5slLPPefatMBxIwAZu4CUUmVKqYpOXjYLQJVSap9SqgnAnwDck2mbUaG0gzq2WVnA\n//wPxwG+/e22v1MK+NrX+OejRgVjY1B0dC9M5ckngYkT2Q3XOpylFPD448CDD3KZ4kyx6V74TSb3\noqSEd/Y+/DDvxG7NE09w3z3+uBfW2YPfVUiGAGhd1f4QgAgkV/lD9+7A4sVcQGzwYODuu4GVK7lq\naF0d8M1v6rYw2hABzz/P/fPDH3IZ4dpa3itQWcn7OQS9LFrEIvzUU3xKXo8efADTxx8D69ZFI/On\nNUkFgIiWAcjv4FdPK6XeSOH6ktbjMf37c5Gq668Hfvxj/v+GG/hrCfzqp0cPzjm/7z4W6/x8zkV/\n+WUgN1e3dUJODqdJP/008NOfAufO8WrglVeiGZh3nQZKRMsBfEsptamD380BsEgptSD+/XcBxJRS\n/9nBa0UsBEEQMkBlmAbqlQsoUeMbABQRUSGAwwA+B6DDAsWZ/gGCIAhCZmQcBCaiTxPRQQBzACwh\noqXxnw8moiUAoJS6BOAJAO8A2AXgz0qp3e7NFgRBENxizE5gQRAEIVi07wQmogVEVEZElUT0Hd32\nBAkRDSOi5US0k4h2ENGT8Z/3J6JlRFRBRO8SUT/dtgYFEWUT0WYieiP+fSTvBRH1I6JXiGg3Ee0i\notkRvhffjX9GthPRH4koNyr3goh+Q0R1RLS91c8S/u3xe1UZH1Nv7ez6WgWAiLIB/AS8W3g8gIVE\nNE6nTQHTBOCbSqkJYFfa/4r//U8BWKaUKgbwfvz7qPANsLvQWZpG9V78PwBvKaXGAZgM3k0fuXsR\njx8+Ct5sOgm8ufTziM69+C14fGxNh387EY0Hx1nHx9/zHBElHeN1rwAivVFMKXVEKbUl/vUZALvB\neyfuBuDUL3wBwL16LAwWIhoK4A4Av0JLYkHk7gUR9QVwvVLqNwDH0pRSpxDBewHgNHii1IOIugDo\nAU4oicS9UEqtBHCi3Y8T/e33AHhJKdWklNoHrsIwK9n1dQtARxvFIlklPT7TmQZgLYBBSqm6+K/q\nAESlNNWPAfwfAK33aUbxXowEcJSIfktEm4jol0TUExG8F0qp4wD+L4AD4IH/pFJqGSJ4L1qR6G8f\nDB5DHTodT3ULgESgARBRLwCvAviGUqqh9e+cWh9aDAsQIroLQL1SajMSpBVH5V6A07OvBvCcUupq\nAGfRzsURlXtBRFcB+N/gemKDAfQiogdbvyYq96IjUvjbk94X3QJQA6B1he5haKtgoYeIcsCD/4tK\nqb/Gf1xHRPnx3xcAqNdlX4BcA+BuItoL4CUA84joRUTzXhwCcEgptT7+/StgQTgSwXsxA8AapdSx\neFr5awDmIpr3wiHRZ6L9eDo0/rOE6BaAv28UI6Ku4ADGYs02BQYREYBfA9illHq21a8WA3go/vVD\nAP7a/r1hQyn1tFJqmFJqJDjI94FS6guI5r04AuAgERXHf3QzuPT6G4jYvQAHv+cQUff45+VmcJJA\nFO+FQ6LPxGIAnyeirkQ0EkARgHVJr5RpGVGv/gG4HUA5OGDxXd32BPy3Xwf2d28BsDn+bwGA/gDe\nA1AB4F0A/XTbGvB9uRHA4vjXkbwXAKYAWA9gK3jW2zfC9+LbYAHcDg565kTlXoBXw4cBXATHS7+U\n7G8H8HR8LC0DcFtn15eNYIIgCBFFtwtIEARB0IQIgCAIQkQRARAEQYgoIgCCIAgRRQRAEAQhoogA\nCIIgRBQRAEEQhIgiAiAIghBR/j+sBbFXWCArdAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10790730>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(autocorr(sin_wave))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"[<matplotlib.lines.Line2D at 0x110c8d90>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRCRBlPRFRBJESV9EJEH+P5JjtRk9UIndAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1084abd0>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u97f3\u58f0\u30c7\u30fc\u30bf\u306e\u5468\u6ce2\u6570\u3092\u78ba\u8a8d\u3059\u308b\uff08\u5b9f\u884c\u306b30\u79d2\u307b\u3069\u304b\u304b\u308b)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"snd_data = snd_array[0]\n",
"snd_index = extract_speak(snd_data)\n",
"pitch = autocorr(np.float_(snd_data['data'][snd_index]))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(np.arange(0.0, sum(snd_index), 1)/snd_data['sample_rate'], pitch)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 18,
"text": [
"[<matplotlib.lines.Line2D at 0x14d5db70>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEGCAYAAABo25JHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x110e07f0>"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"0\u4ee5\u5916\u3067\u6700\u521d\u306e\u30d4\u30fc\u30af\u306e\u4f4d\u7f6e\u3092\u63a2\u3057\u305f\u3044\u304c\u30ce\u30a4\u30ba\u304c\u6709\u308b\u305f\u3081\u62bd\u51fa\u304c\u96e3\u3057\u3044\u3002\uff08\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u3067\u306f0.005[ms]\u3092\u30d4\u30fc\u30af\u3068\u3057\u3066\u898b\u3064\u3051\u305f\u3044\uff09"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(np.arange(0.0, sum(snd_index), 1)/snd_data['sample_rate'],pitch)\n",
"plt.xlim([0,0.02])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 19,
"text": [
"(0, 0.02)"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEGCAYAAACKB4k+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0xa146f90>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u30d4\u30c3\u30c1\u62bd\u51fa\u306e\u65b9\u91dd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u4eba\u306e\u58f0\u306e\u9650\u754c\u3068\u3057\u3066100[Hz]\u4ee5\u4e0b\u306f\u51fa\u305b\u306a\u3044\u3002\u305d\u306e\u305f\u3081\u3002\u81ea\u5df1\u76f8\u4e92\u76f8\u95a2\u306f0.01\u307e\u3067\u898b\u3048\u308c\u3070\u3044\u3044\u3002\u9ad8\u901f\u5316\u306e\u305f\u3081\u3001\u97f3\u58f0\u306e\u4e00\u90e8\u3092\u5207\u308a\u51fa\u3057\u3066\u81ea\u5df1\u76f8\u4e92\u76f8\u95a2\u3092\u53d6\u308a\u3001\u305d\u306e\u4e2d\u30670.002\uff5e0.01\u306e\u9593\u306e\u6700\u5927\u5024\u3092\u30d4\u30fc\u30af\u3068\u3059\u308b\u3002"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u767a\u8a71\u533a\u9593\u3092\u62bd\u51fa\u3057\u3001\u305d\u306e\u4e2d\u592e\u90e8\u5206\u3092\u629c\u304d\u53d6\u3063\u3066\u304f\u308b\u95a2\u6570"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def extract_speak_mid(snd, extract_length=0.05):\n",
" snd_index = extract_speak(snd)\n",
" extract_start = sum(snd_index)/2\n",
" extract_end = sum(snd_index)/2+extract_length*snd_data['sample_rate']\n",
" return snd_data['data'][snd_index][extract_start:extract_end]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"snd_data = snd_array[0]\n",
"corr_data = extract_speak_mid(snd_data)\n",
"pitch = autocorr(np.float_(corr_data))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u62bd\u51fa\u533a\u9593"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(corr_data)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 22,
"text": [
"[<matplotlib.lines.Line2D at 0x1524d730>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAEACAYAAAB27puMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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