{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "23c88465", "metadata": { "id": "23c88465" }, "outputs": [], "source": [ "import IPython\n", "from scipy.io import wavfile\n", "from scipy.io.wavfile import write\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "source": [ "!wget https://raw.githubusercontent.com/Alireza-Akhavan/deeplearning-tensorflow2-notebooks/refs/heads/master/speech.wav" ], "metadata": { "id": "7LmDTRevUalt", "outputId": "5aaf3c66-b498-4db2-edfd-f41b7aef0301", "colab": { "base_uri": "https://localhost:8080/" } }, "id": "7LmDTRevUalt", "execution_count": 2, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "--2025-07-25 16:01:57-- https://raw.githubusercontent.com/Alireza-Akhavan/deeplearning-tensorflow2-notebooks/refs/heads/master/speech.wav\n", "Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.108.133, 185.199.109.133, 185.199.110.133, ...\n", "Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.108.133|:443... connected.\n", "HTTP request sent, awaiting response... 200 OK\n", "Length: 58824 (57K) [audio/wav]\n", "Saving to: ‘speech.wav’\n", "\n", "speech.wav 100%[===================>] 57.45K --.-KB/s in 0.01s \n", "\n", "2025-07-25 16:01:58 (4.17 MB/s) - ‘speech.wav’ saved [58824/58824]\n", "\n" ] } ] }, { "cell_type": "markdown", "id": "d467a8cf", "metadata": { "id": "d467a8cf" }, "source": [ "## Read and play an audio file" ] }, { "cell_type": "code", "execution_count": 4, "id": "b5bfb770", "metadata": { "id": "b5bfb770", "outputId": "d903d1d5-c97e-425b-cec5-4c89a954c209", "colab": { "base_uri": "https://localhost:8080/", "height": 511 } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "len s: 29355, rate: 16000\n", "The duration of the audio file is 1.83 seconds.\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ], "text/html": [ "\n", " \n", " " ] }, "metadata": {}, "execution_count": 4 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "rate, s = wavfile.read('speech.wav')\n", "plt.plot(s)\n", "\n", "print(f\"len s: {len(s)}, rate: {rate}\")\n", "duration_seconds = len(s) / rate\n", "print(f\"The duration of the audio file is {duration_seconds:.2f} seconds.\")\n", "IPython.display.Audio(s, rate=rate)\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "03553795", "metadata": { "id": "03553795", "outputId": "e4f73db3-56a5-4954-adc2-09186662efeb", "colab": { "base_uri": "https://localhost:8080/", "height": 448 } }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": {}, "execution_count": 5 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "t = np.linspace(0., 1., 16000)\n", "\n", "y = np.sin(2.0*np.pi*t)\n", "plt.plot(y)" ] }, { "cell_type": "markdown", "id": "80a73f27", "metadata": { "id": "80a73f27" }, "source": [ "## generate an audio file with sin signal" ] }, { "cell_type": "markdown", "id": "74c4cc47-5620-4736-b0a9-d5fd8b4bd4bf", "metadata": { "id": "74c4cc47-5620-4736-b0a9-d5fd8b4bd4bf" }, "source": [ "**Integer PCM (Pulse Code Modulation):** In this encoding, audio samples are represented as signed or unsigned integers. The bit depth determines the range and precision of these integers. For example, 16-bit PCM audio uses 16-bit signed integers to represent each sample. The range of values is determined by the bit depth; for 16-bit audio, it typically ranges from -32,768 to 32,767 for signed integers.\n", "\n", "In integer PCM (Pulse Code Modulation) audio representation, the numerical values represent the amplitude of the audio waveform at a specific point in time. These values indicate how much the air pressure (in the case of sound waves) or voltage (in the case of analog audio) deviates from a reference point (usually zero) at that particular moment." ] }, { "cell_type": "code", "execution_count": 9, "id": "8bbf3733", "metadata": { "id": "8bbf3733", "outputId": "2a967231-ebcb-40bb-fc89-4d5a0e35f816", "colab": { "base_uri": "https://localhost:8080/", "height": 201 } }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ], "text/html": [ "\n", " \n", " " ] }, "metadata": {}, "execution_count": 9 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "samplerate = 16000; fs = 50\n", "\n", "t = np.linspace(0., 1., samplerate)\n", "\n", "amplitude = np.iinfo(np.int16).max\n", "\n", "data = amplitude * np.sin(2. * np.pi * fs * t)\n", "\n", "\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data)\n", "IPython.display.Audio(data, rate=16000)" ] }, { "cell_type": "markdown", "id": "cec7f8f6-3d33-41d5-9436-2fce7c8e0bf3", "metadata": { "id": "cec7f8f6-3d33-41d5-9436-2fce7c8e0bf3" }, "source": [ "## Hearing test :)" ] }, { "cell_type": "markdown", "id": "fd7b4fca-6027-4352-a482-56ac4c5ae8b4", "metadata": { "id": "fd7b4fca-6027-4352-a482-56ac4c5ae8b4" }, "source": [ "The range of audible frequencies for the average human ear typically spans from approximately 20 Hertz (Hz) to 20,000 Hertz (20 kHz). This range can vary from person to person, and it often decreases with age. Here's a breakdown of the audible frequency range:\n", "\n", " Low Frequencies (Bass): The lowest frequencies humans can typically perceive are around 20 Hz. These low-frequency sounds are often associated with deep bass tones in music and the rumble of thunder.\n", "\n", " Midrange Frequencies: Most of the sounds in our everyday environment fall within the midrange frequencies, which extend from around 100 Hz to 5,000 Hz. This range encompasses speech, music, and a wide variety of everyday sounds.\n", "\n", " High Frequencies (Treble): The upper limit of human hearing, around 20,000 Hz (20 kHz), represents the highest frequencies that most people can perceive. These high frequencies are associated with the shimmer of cymbals, the chirping of birds, and other high-pitched sounds." ] }, { "cell_type": "code", "execution_count": 10, "id": "7a374ead-afd9-4d31-bebb-bc34427fedbf", "metadata": { "id": "7a374ead-afd9-4d31-bebb-bc34427fedbf", "outputId": "c482ecfe-50b5-47c6-df5d-b9e867e41047", "colab": { "base_uri": "https://localhost:8080/", "height": 453 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "" ], "text/html": [ "\n", " \n", " " ] }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import IPython.display as ipd\n", "\n", "samplerate = 16000\n", "duration = 5 # Duration of the audio clip in seconds\n", "\n", "# Create a time vector\n", "t = np.linspace(0., duration, int(samplerate * duration), endpoint=False)\n", "\n", "# Define the frequency sweep parameters\n", "start_freq = 20 # Starting frequency in Hz\n", "end_freq = 20000 # Ending frequency in Hz\n", "\n", "# Generate the frequency sweep signal\n", "data = np.sin(2. * np.pi * np.logspace(np.log10(start_freq), np.log10(end_freq), len(t)) * t)\n", "\n", "# Normalize the signal\n", "amplitude = np.iinfo(np.int16).max\n", "data = amplitude * data / np.max(np.abs(data))\n", "\n", "# Plot the waveform\n", "fig = plt.figure(figsize=(10, 4))\n", "plt.plot(t, data)\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Amplitude')\n", "plt.title('Frequency Sweep')\n", "plt.grid(True)\n", "\n", "# Create an audio clip from the generated signal and display/play it\n", "ipd.display(ipd.Audio(data, rate=samplerate))\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "1c191de1", "metadata": { "id": "1c191de1", "outputId": "8d0a87e1-975e-4639-8164-ede9bb9ff1e4", "colab": { "base_uri": "https://localhost:8080/", "height": 202 } }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ], "text/html": [ "\n", " \n", " " ] }, "metadata": {}, "execution_count": 11 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "samplerate = 16000; fs = 60\n", "\n", "t = np.linspace(0., 1., samplerate)\n", "\n", "amplitude = np.iinfo(np.int16).max\n", "\n", "data3 = amplitude/5 * np.sin(2. * np.pi * fs * t)\n", "\n", "\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data3)\n", "IPython.display.Audio(data3, rate=16000)" ] }, { "cell_type": "markdown", "id": "349df951", "metadata": { "id": "349df951" }, "source": [ "## Add signals" ] }, { "cell_type": "code", "execution_count": 12, "id": "eeb35721-170d-4600-b5bd-5e1f3b288a6b", "metadata": { "id": "eeb35721-170d-4600-b5bd-5e1f3b288a6b" }, "outputs": [], "source": [ "samplerate = 16000\n", "fs1, fs2 = 50, 200\n", "\n", "t = np.linspace(0., 1., samplerate)\n", "\n", "amplitude = np.iinfo(np.int16).max\n", "\n", "data1 = amplitude * np.sin(2. * np.pi * fs1 * t)\n", "data2 = amplitude * np.sin(2. * np.pi * fs2 * t)" ] }, { "cell_type": "code", "execution_count": 13, "id": "e59ab313-6adb-495c-8dc2-96dd9da7c024", "metadata": { "id": "e59ab313-6adb-495c-8dc2-96dd9da7c024", "outputId": "fd785b21-c2d8-405b-b07a-cfad7d7e9b42", "colab": { "base_uri": "https://localhost:8080/", "height": 201 } }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ], "text/html": [ "\n", " \n", " " ] }, "metadata": {}, "execution_count": 13 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data1[:1000])\n", "IPython.display.Audio(data1, rate=16000)" ] }, { "cell_type": "code", "execution_count": null, "id": "53373326-b787-44c7-9949-0352cf987c71", "metadata": { "id": "53373326-b787-44c7-9949-0352cf987c71", "outputId": "6958844a-5a94-40f6-d4ac-35af2554677f" }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data2[:1000])\n", "IPython.display.Audio(data2, rate=16000)" ] }, { "cell_type": "code", "execution_count": 14, "id": "20fe62d8", "metadata": { "id": "20fe62d8", "outputId": "2335bb55-181f-40e1-d83d-61f51aefcf75", "colab": { "base_uri": "https://localhost:8080/", "height": 201 } }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ], "text/html": [ "\n", " \n", " " ] }, "metadata": {}, "execution_count": 14 }, { "output_type": "display_data", "data": { "text/plain": [ "
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}, "metadata": {} } ], "source": [ "fig = plt.figure(figsize=(20, 2))\n", "data = (data1+data2)/2\n", "plt.plot(data[:1000])\n", "IPython.display.Audio(data, rate=16000)" ] }, { "cell_type": "markdown", "id": "05c128e6-5afd-4426-aea1-6b1000b344bf", "metadata": { "id": "05c128e6-5afd-4426-aea1-6b1000b344bf" }, "source": [ "### More details" ] }, { "cell_type": "code", "execution_count": 15, "id": "bb004824-6f20-47ea-988b-f7eef5df1b1a", "metadata": { "id": "bb004824-6f20-47ea-988b-f7eef5df1b1a", "outputId": "9102c0dd-0957-416b-bf16-d54685158767", "colab": { "base_uri": "https://localhost:8080/", "height": 580 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" 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\n" 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lFmNuvfXWio87dOhATEwMDRs25KOPPsLNza0yf/Tv9swzzzB58uSKz3NycoiIiKBv3754e3sbmKz6sdlsrFmzhptvvhmrVXePi1Sp/PyKD/v16wceV7eeS5GtjD98fJDvE8vX0prcpxkP926MqZocYVb1OHMbcGtSLmMX7CEpp5jpJz2YN6oLTYNq13o5VeYa7acilUnHMyJSFTTWiEhluxbjzN4LWby4aC+ZRTbCfFyZOawzzUM8r3HSq2TAucUdDgfvfH+ad74/w+p4Mz6hEbx8Vxss5upxvixS1XQ8c6mfOmpdjkpvU/Zzvr6+tGjRglOnTnHzzTdTUlJCVlbWJbNjkpOTCQ0NBSA0NJQdO3Zc8j2Sk5Mrnvvpvz899vNtvL29cXNzw2KxYLFYfnGbn77HL3FxccHF5b9vg7ZardrJfoXeGxED/Ox3zmq1XvL55UrLK2bc/N3svZCFs8XM6wM6cHfH+tcy5TVTleNM+wh/Pnu0ByNm7+BkSh5DZ+9k4dgYWoWqIH/FrsF+KlJVdDwjIlVBY42IVLarHWe+PpjIE8v2UVxqp319H2aN7EKwVzWa2W7QucVT/VoT7u/BM58eZPnueErKHLwxIBKnWrquqsjl0PFMuSt5D6q0GJOXl8fp06cZNmwYUVFRWK1W1q1bR//+/QE4fvw4Fy5cIDY2FoDY2Fj+/ve/k5KSQnBwMFA+/cnb25s2bdpUbPPVV19d8nPWrFlT8T2cnZ2Jiopi3bp13HPPPQDY7XbWrVvHxIkTq+JlSy2QkV/C4YRsjiTkcCGjgKTsIpJyiigoKaPYVobN7sDNasHd2YK3m5X6vm6E+7nRKMCD9uE+NA3y1B0TUi2dSc1j5JydXMgowMfNyoxhUcQ0CTA6VrUR5uvGsodiGTpzO0cScxg4YxsLRsfQPtzH6GgiIiIiYoAyu4OzaXkcTsjheFIuidlFJGYXkp5XQnGpneLSMgA8XJzwcHYiwNOZCD93IvzdaB7iRYf6PgR4qv+tVD8Oh4OZG8/yj6+P4nBAn9bBvD2oE+7OVXrpsFp7sGsDPF2sPL50L5/vS6Ck1M7UgZ1wdlJBRkQuT6WOqH/4wx+48847adiwIQkJCbzwwgtYLBYGDRqEj48PY8aMYfLkyfj7++Pt7c2kSZOIjY2lW7duAPTt25c2bdowbNgwXnvtNZKSknj22WeZMGFCxayVhx9+mHfffZenn36a0aNH89133/HRRx/x5ZdfVuSYPHkyI0aMoEuXLkRHRzNlyhTy8/MZNWpUZb58qcHyikvZfCqNjSdT2XgyjfPpl9/775e4WS10jPClV4tAejcPok09b8wqzojBdp/PZMy8nWQV2Ijwd2POyGiaBVeTqefViL+HM0vGdWPEnB3si8ti8MxtzB0VTVRDP6OjiYiIiEgVOJOax/oT5eeG28+kk19SdhlfVfyrz9T3dSOmiT+9mwfRs3kggSrOiMHsdgcvrTrMvK3nARge25AX7myrm0p/we0d6uHsZGbCoj18fSiJkoW7mTakM65Wi9HRRKQGqNRizMWLFxk0aBDp6ekEBQXRs2dPtm3bRlBQEABvvfUWZrOZ/v37U1xcTL9+/Xjvvfcqvt5isfDFF1/wyCOPEBsbi4eHByNGjOCvf/1rxTaNGzfmyy+/5Mknn2Tq1KmEh4czc+bM8r6RP3rwwQdJTU3l+eefJykpiY4dO/LNN98QEhJSmS9fahhbmZ0NJ1L5bG88a48mU2SzX/J8owB32ob50CTIg3o+boT6uODlasXFyYzFbKLIZie/uJSsQhvxmYXEZRZwKjmPwwnZ5JeUsfVMOlvPpPPaN8ep5+PKHR3qcWdkGO3r+1SbdTmk7th4MpXx83dTaCsjMsKXWSO66CTwN/i4W1kwJpoxc3ex41wGw2dtZ/bIrppFJCIiIlJLJecU8fm+eD7fl8DhhEt7wbtZLbSu50Xret5E+LtTz8eVQE8XXK0WXH68Qz6vuJT84lJScou5mFnAhYxCjiRkcyYtn/isQj7dE8+ne+IxmSCmsT93RoZxa7t6+Hs4G/FypQ6zldl5+uMDfLa3fH/8v9taM6Zn9Vk/tDq6uU0IH47owvj5u1h3LIVx83cxY1gX3JxVkBGR32ZyOBwOo0PUBDk5Ofj4+JCdnY23t9YL+DmbzcZXX33FbbfdViP7BGbml7B4xwUWbjtPYnZRxeMN/N25vmUQvZsHEd3EH2/Xq3ttZXYHZ1Lz2HYmnQ0n09hyKu2SO6lahngxtFsD7ulUH6+r/BlSh+Xng+ePs1ny8i5r8cJvDiXx2JK9lJTZ6dU8kA+GRVX7qefVZZwpKCll/PzdbDqVhqvVzMzhXenZPNCwPDXGVeynIlWtuowzIlK7aayp3hwOB3suZDJ78zm+OZREmb38comT2XTJTJZWod5XPWMgt8jG/rhsNp5KZeOJNI4k/rvQY7WYuKVdPYZ1a0jXRn66GC5X5UrGmSJbGRMX72Xt0WQsZhNvPhBZbdcPrVCNzi22nE5j7LxdFJSUEdPYn9kju+LhUr3PrUWuBR3PXOpK6gYaIaTOSssr5v0fTrNo+/mKWTABHs7c1TGMezrWp0P4tZmxYjGbaB7iRfMQL4bFNqLIVsaGE6msOpDImiNJHE/O5bnPD/Pq18cYGN2Acb2aEOpTjRbHk1rl490Xefrj/dgdcGu7UKYM7IiLk+7euVzuzk7MHNGFRxbu5vvjqYydv5MFY2Lo2sjf6GgiIiIicpUcDgdbTqfz5poT7D6fWfF4l4Z+3NOpPre1v3YzVrxcrfRsHkjP5oE8cytczCzgywOJrNxfPgNn1f4EVu1PoFWoF49c35Tb29fTAuFSKfKLSxk3fxdbTqfj7GTmvcGd6dNGHWSuRPemgSwYE83I2TvZfjaD8Qt2MWtEV7UsE5FfpWKM1Dm5RTbe/+E0c7eco+DHGSptw7wZ1aMxd0bWq/QL065WC33bhtK3bSjZhTY+3XORhdvOczo1n1mbzjJ/6znujwpn4o3Nqe/rVqlZpG6Zu/ksL646AsCAqHBeua+9TuyugqvVwgfDujB+wS5+OJ7K6Dk7WTyuG+3DfYyOJiIiIiJXaO+FTF79+hjbz2YA4Oxk5u7IMEb2aETbsMo/vgv3c+eh65ry0HVNORSfzcJt51mxL55jSbk8vnQfb645waPXN6V/53Adu8s1k1VQwsg5O9kXl4WHs4UPR3She1PN+L8aUQ39mT8mmqEzt7P5VDoTF+/l/aGdser3VUR+gUYGqTPsdgef7L7IjW+s570fTlNQUkaHcB/mjurKF5N6cn9UeJXPEPBxszKqR2PWTr6OOaO6Et3IH1uZgyU74rjh9R94+YsjZOSXVGkmqX0cDgfvrDtZUYgZ1aMR/+zfQSdzv4Ozk5npQ6OIaexPbnEpw2dv50RyrtGxREREROQypeYW84fl+7n3vS1sP5uBs8XMyO6N2Pj0Dbw+ILJKCjH/qV19H17t34Htz/ThqZtb4Odu5Xx6AX/65CB9p2zg64OJqNO8/F4puUUMnLGNfXFZ+LpbWTSumwoxv1OnBn7MHNEVFycza48m84fl+yvaHIqI/JyuxEmdcColjwc+2MpTy/eTmltM40APZgyL4vMJPbi+ZbDhvXhNJhM3tAzmo4djWf5wLN2a+FNSZmfWprNc99r3zNp0FluZ3dCMUjM5HA7eWnuSN9acAOCJPs15/o42mK+yx7X8m6vVwswRXYgM9yGzwMbQmds5n55vdCwRERER+Q12u4OF285z479+4OPdFwHo3zmcH/54PS/e1ZYQb+NbRvu4W5l0U3M2//lGnr29NX7uVs6k5vPIoj3cP30rh+KzjY4oNVRKbhGDZmzjWFIuQV4uLBsfS8cIX6Nj1QqxTQN4f2hnnMwmPt+XwLMrDqp4KiL/RcUYqdXK7A4+WH+a297eyK7zmbg7W/jTLa345ole9G0bangR5pd0beTPknHdmDc6mrZh3uQWl/LyF0e4bepGtpxKMzqe1CAOh4O31pzg7XUnAfjLba14ok+Larnf11RerlbmjY6mZYgXKbnFDP5wO4nZhUbHEhEREZFfEJdRwNBZ23l2xSFyi0uJDPfhs0e788YDkYRVwxbR7s5OjO3VhA1P38BjNzXH3dnC7vOZ3PnuJp759CBZBeqiIJcvJae8EHM6NZ96Pq4sfyiWlqFeRseqVW5sFcKUgR0xm2DJjjj+/uVRFWRE5BIqxkitFZdRwIDpW3jl62OUlNq5rkUQaydfxyPXN632C5abTCauaxHEyok9efW+9vh7OHMyJY/BM7fzzKcHyCmyGR1RqrmKQsx3pwB49vbWjO/d1OBUtZOvuzMLxkbTONCD+KxChszcTnpesdGxRERERORHDoeDj3dfpN+UDWw5nY6r1cwLd7bhs0d70KmBn9Hx/icvVyuTb27Bd09dz90dw3A4YMmOC/R5cwPfHEoyOp7UACk5RQz8sLwQE+bjytLx3WgU6GF0rFrpjg5hvHpfBwBmbjrL2+tOGZxIRKoTFWOkVvrmUCK3v72RPRey8HJx4rX+HZg7qmu1vNvpt1jMJgZGN+D7p65naLcGQPndFf3e2sD3x1MMTifVlcPh4M3/KMSM7dXE4FS1W7CXKwvHxhDm48qZ1HxGz9tFQUmp0bFERERE6ry84lImf7SfPyzfT0FJGdGN/fn2id6M6tG4xrXuDfVxZerATnz0UCzNgz1Jyyvm4YW7mbB4j24Gkl/1UyHmTEUhJpaGASrEVKYHukbw/B1tAHhr7QkWb79gcCIRqS5UjJFaxVZm58WVh3l44R5yikrpGOHLV4/34oGuETW6NZOPu5W/3dOepeO70TDAncTsIkbN2clTH+0nu0CzZOTffirEvKNCTJWr7+vGgrEx+Lpb2R+XxcTFeynVWk8iIiIihjmRnMud72zis73xWMwm/tC3BUvGdavxF6KjG/vzxWM9mXBDUyxmE18eSOTmtzawan+CWiLJJVJyihg4o7wQU9/XjaXjY2kQ4G50rDphdM/GPHZjMwCeXXGQtUeSDU4kItWBijFSa6TnFTN05nbmbjkHwEPXNWH5w7FE+NeeA41uTQL45vHejOnZGJMJPtlzkT5vrdcsGQHKCzFvrFYhxkhNgzyZNaIrLk5mvjuWwrMrDumEWERERMQA3xxK4t5pmzmbVr4+xtLx3Zh4Y3MsNWw2zK9xcbLwx36tWPFoD1qFepGRX8KkJXt5eOFuMvK1loxA8k+FmLTyQsyScd1UiKliT97cggFR4dgdMHHJHvZeyDQ6kogYTMUYqRUOJ2Rz17ub2X42A08XJz4c3oVnbm2N1VL7dnE3ZwvP3dGGjx+OpUmQB6m5xYyas5N/fHWUklLdhV+Xvb3uJO9+r0KM0aIa+vHOoE6YTbB0ZxxT1500OpKIiIhInfHT2okPL9xNfkkZsU0C+GJST7o28jc6WqVoH+7Dyok9efym5jiZTXx7OJnbpm5k+5l0o6OJgbJLYNjsXRWFmKXjVYgxgslk4h/3tef6lkEU2eyMmbeLM6l5RscSEQPVvivVUud8fzyFB6ZvJT6rkMaBHqyY0J2b24QYHavSRTX056vHejEitiEAMzacYcAHW7mQXmBwMjHK9PVnAHjujjYqxBisb9tQ/np3OwCmrD3J0h3qESwiIiJS2YpLy3hi2b6Km2FG92jMgjHRBHi6GJyscjk7mXny5hasmNCDJoEeJOUUMejDbUxde5Iyu2Zp1zXJOUW8c9jC2fSCikJMbeoYUtNYLWamDe5Mh3AfMvJLGDFnB6m5WuNJpK5SMUZqtMXbLzB23i7yS8ro0SyAFRN60CzYy+hYVcbVauGlu9sxfWgU3q5O7I/L4va3N/LFgQSjo0kV+c8WWM/f0YYxPRsblEZ+bmi3hky8obxH8P+tOMS6o+oRLCIiIlJZsgtsDJ+1g8/3JeBkNvFa/w48f2cbnGpht4Rf066+D6sm9eS+zvWxO8oXDh86czvJOUVGR5MqkpRdxNDZu0gtMlHf11WFmGrCw8WJ2SO70jDAnbiMQkbP3Ul+canRsUTEAHXnqERqlZ+mnv/ls4OU2R307xzOnJHR+LhZjY5miFvahfLV472IauhHbnEpExfv5ZlPD1JkKzM6mlQih8PBlLUnKj5/5tZWjFYhplp5qm8L+ncOp8zuYOLivRyKzzY6koiIiEitk5xTxIAPtlS0rZ4zqisPdI0wOpYhPFycePOBjrwxIBJ3Zwtbz6Rz29SNrD+RanQ0qWRJ2eUzos6lF+Dv4mDh6K4qxFQjgZ4uzBsVTYCHMwfjs5m4eA+lZWo1L1LXqBgjNY7d7uClVUcqpp4/dlNz/jWgA85OdXt3DvdzZ9n4bky4oSkmEyzZcYEBP7Zvk9rH4XDw+rfHmbHhbMVjw7s3Mi6Q/CKTycSr/dvTq3kghbYyxszbSWK2fidFRERErpXz6fn0f38LJ5LzCPF2YfnDsfRqHmR0LMP1jwpn1aSetK7nTXp+CSPn7ODd705iV9uyWikpu4iBM7ZyNi2fcF9XJrYpI9zPzehY8h8aBXowa2RXXK1mvj+eyt++PGp0JBGpYnX76rXUOKVldv6wfD9zt5wD4KW72jL55haYTCZjg1UTThYzf+zXivmjo/F1t3IwPps739nEllNpRkeTa+inQsx7P5w2OopcBqvFzLQhnWke7ElyTjFj5u7SlHQRERGRa+B4Ui73T9/KxcxCGga48/HD3Wldz9voWNVG0yBPPnu0O4NjGuBwwL9Wn+DhhbvJLbIZHU2uoZ8KMefSCwj3c2PhmK4EuBqdSn5Nxwhf3nqgIwBzt5xj3o/Xt0SkblAxRmqMMruDyR/t59O98VjMJt56MJIRmgnwi3o1D2LVxJ60DfMmI7+EobO28+GGM/+1vojUPP9ZiPm/21oZnEguh7erldkjuxLo6cyRxBweX7pXi6mKiIiI/A5HEnIYOGMrqbnFtAr1YvnDsWrJ9AtcrRb+cW97/tm/Pc4WM6uPJHPPtM2cSskzOppcA/9ZiFk6vhv1fTUjprq7tX09/nRL+bn8S6sO8/2xFIMTiUhVUTFGaoQyu4M/Lt/Pyv3lizG+N6Qz93YKNzpWtRbh784nj3Tnvk7lizf+/aujPLZ0HwUluiO/pvrPQsyLd7ZhaGwjY0PJZYvwd2fG8C44O5lZezSFf3ylKekiIiIiV+NQfDaDZ24js8BGZLgPy8bHEuylqQC/5cGuDfjo4Vjq+bhyOjWfe6Zt5tvDSUbHkt/hlwox4X4qSNYUD1/XhAe6hGN3wMTFeziamGN0JBGpAirGSLVntzv40ycHKmbEvDu4E/3ahhodq0ZwtVp444FIXryzDU5mE6v2J3Dfe1uIyygwOppcoV8qxIzs0djgVHKlOjfw440BkQDM2nSWBdvOG5xIREREpGY5FJ/NkJnbySqw0THClwVjY/Bxtxodq0boGOHLqkk9iWnsT15xKQ8t2M0bq49rHZkaSIWYms9kMvG3e9oT2ySA/JIyxszdSUpOkdGxRKSSqRgj1Zrd7uAvnx3k490XMZtg6sCO3NKuntGxahSTycTIHo1ZPK4bgZ7OHEvK5a53N7H1dLrR0eQyqRBTu9wZGcYf+rYA4MWVh1l/ItXgRCIiIiI1w6mUPIbP3kF2oY3ODXxZMCYab1cVYq5EoKcLC8fGMPrH84l3vjvFQwt3k6c1DWsMFWJqD2cnM9OHRtEkyIOE7CLGzt9FYUmZ0bFEpBKpGCPVlsPh4NnPD7F0ZxxmE7z1YEfu6BBmdKwaK7qxPysn9qRdfW8yC2wMm7Vdd+XXACrE1E4TbmhG/87hlNkdTFy0h+NJuUZHEhEREanW4jIKGDpzOxn5JbSv78O80dF4qRBzVawWM8/f2YY3BkTibDGz5kgy9723mQvp6qBQ3SVlFzHow20qxNQiPu5WZo/oip+7lQMXs3ly2T7NVhOpxVSMkWrJ4XDw0qojLN5+AZMJ/jUgkrs71jc6Vo0X5uvG8oe6c2dkGKV2B8+tOMRfPjtISand6GjyC1SIqb1MJhOv3NeemMb+5BaXMnruTlJzi42OJSIiIlItpeQWMWzWdpJyimgW7KlCzDXSPyqcZQ91I9jLhRPJedw1bRNbTqUZHUt+xU+FmLNp+YT7ubFknAoxtUWjQA8+GNYFZ4uZbw4n8dq3x42OJCKVRMUYqZamfX+KuVvOYTLBa/07cF/ncKMj1RpuzhbeHtiRp29pickEi7dfYOjM7aTl6UJwdaJCTO3305T0xoEexGcVMm7+LopsmpIuIiIi8nNZBSUMm7mDc+kFRPi7sXBMDP4ezkbHqjU6NfBj1aSeRIb7kFVgY9jsHczdfBaHQ3fmVye/VIiJ8FchpjaJbuzPP+9vD8D09adZtvOCwYlEpDKoGCPVzrKdF/jX6hMAvHBHGwZ0iTA4Ue1jMpl49PpmzBzeBU8XJ3acy+DudzdzOCHb6GhCeSHmNRVi6gQ/D2dmj+yKr7uVfXFZPLV8v6aki4iIiPwov7iUkXN2cjw5l2AvFxaN6Uaoj6vRsWqdEG9Xlj0Uy72d6lNmd/DiqiM886k6KFQXidmFKsTUEfd2Cuexm5oD8H+fHWKzZqqJ1Doqxki1svZIMs98ehCAR65vqgvQleym1iGsmNCdRgHuxGcVcv/7W/nyQKLRseq0n1r0va9CTJ3RONCD6UOjsFpMfHkgkbfWnjA6ktQRDoeDrIISErIKOZuWz8nkXOIyCkjLK6a4VLO0RETEWMWlZYxfsIt9cVn4ultZODaGBgG6AF1ZXK0W3nwgkr/c1gqzCZbujGPwh9vUStdgF9ILGDB9K2fT8qnvq0JMXfBkn+YVreUfWbibUyl5RkeSOqKk1E5KbhFxGQWcSsnjdGoeidmFZBfYdNPoNeRkdACRn+w+n8nEJXuwO+D+qHCe7tfS6Eh1QrNgLz6f0JOJS/aw8WQaExbv4XhSM57o0wKz2WR0vDqlzO7g/z47yNKdcQC8fE87hnVraHAqqQrdmgTwyn0d+MPy/bzz3SkaB3qoPaNcM2V2B0cTczgUn82xpFyOJeWQkFVEUk7Rb97xGujpTH1fNxoFetAuzIe29b3pEO6Lp4sOH0VEpHI5HA7+/MlBNp9Kx8PZwrxR0bQI8TI6Vq1nMpkY37spLUK8mLRkL7vOZ3L3u5uYMbwL7er7GB2vzjmVksfQmeVrJTUKcGfRuG7U93UzOpZUMpPJxOv3dyA+s4A9F7IYM28nnz3aQ+0Z5ZrJLrCx50ImR5NyOJaYy5m0PJKyi0jLK/nVr3G2mKnn60p9XzdimwTwcO9GVRe4ltHZtFQLp1JyGTNvJ0U2Oze0DOKV+9pjMqkQUFV83K3MGdmVV78+xsxNZ3n7u1McS8rlzQc76qJbFSkts/PU8v18vi8Bswleuz+S+6N0Mb4uuT8qnDOpebz3w2n+/MlBwv3ciW7sb3QsqaEuZhaw+nAym06lsfNsBrnFpb+6rdViwtXJgsVioshWRpGtvECTlldCWl4J+y9m8/m+BACczCY6N/SjV7NA+rUL1YUxERGpFG+uOcFne+OxmE28PzSKyAhfoyPVKde3DGbFhB6Mm7+LM6n53D99C6/fH8mdkWFGR6szjibmMGzWdtLySmge7MmisTEEe6tFX13harUwY3gX7pm2mfPpBTy8YDcLxkbj4mQxOprUQKVldnacy2Dd0RS2nk7naFIOv7UsmKvVjIuTBbvDQWFJGaV2ByVlds6nF3A+vQAfN2vVha+FdJVVDJeUXcSI2TvJKrDRMcKXaUM6Y7Wog15Vc7KYefaONrSq581fPj3I6iPJ3PfeZmYO76p2AJWsuLSMx5bs5dvDyTiZTUwZ2JE7OuhEpy76Q9+WnEvP56uDSTy0YBefPdqDRoEeRseSGiI5p4jP9sazan8ChxNyLnnOy8WJyAhfWtfzomWoNw0D3An1diXY2+W/TursdgfZhTbiswqJzyrkVEoeh+KzORifzcXMQnaczWDH2QzeWHOCVqFe3NUxjPs7h+sCgYiIXBMf7Yzjne9OAfDKve3p3SLI4ER1U9MgTz57tAePLdnL+hOpTFqyl2NJOTx1c0t1UKhk++OyGD57B9mFNtqGebNgTIxmRdRBgZ4uzB7Zlf7vbWHHuQye+fQgbwyI1I3Lclnsdgc7zmXwye6LrDmaTFaB7ZLnmwR60K6+D63qedEi2It6vq6Eervi5+78X2N8cWkZqbnFxGeWnx8GeblU5UupdVSMEUPlF5cyZt5O4rMKaRLkweyRXXF31m5ppPujwmkS5MFDC3ZzIjmPu6Zt4r3BneneLNDoaLVSka2MhxbsZv2JVJydzLw/pDM3tQ4xOpYYxGw28caAjsRnbmX/xWxGz9vJZ4/0wMddd57IL7PbHXx/PIWF286z/kQqP7XyNZugSyN/+rQOJrZJIG3CvLFc5oUTs9mEn4czfh7OtKvvQ7+2/37uQnoBG06m8sPxFNafSC1ve/bNcd5ac4Lb2tdjZPdGdGrgVwmvVERE6oINJ1J55rPyNUQn3diMB7pGGJyobvNxszJ7ZFde++YYH2w4w7TvT3M8KZe3HuyIl6uOTyvDznMZjJqzk7ziUjo18GXuqGjdhV6HtQjx4t0hnRk9dyef7omnaZAnE25oZnQsqcbS84pZsuMCy3bFEZdRWPG4n7uVm1qHcF2LIGKa+BPsdfk30rk4WQj3cyfc7983attstt/4CvktuuothrHbHTyxbB+HE3II8HBm3qho3e1RTXRu4MeqiT15aMEu9l/MZtjsHTx/RxuGxzbUXRjXUFZBCWPn7WLX+UzcrBY+HN6Fns1V9Krr3JzL94V7pm3mTGo+jyzazbzR0ZoxKJcoLClj+e445mw+x9m0/IrHuzT0o39UOH3bhBDgee3vWGoQ4M7QgIYM7daQ7AIb3xxO5KNdF9l9PpPP9yXw+b4EejQL4Ik+LejaSG32RETk8h1NzOHRRXsoszu4t1N9Jt/cwuhIAljMJp65rTWt6nnxp08OsvZoCve+t4WZw7toBvc1tuZIMpOW7KHIZqdbE39mjuiqtuHCdS2CePGutjy34hCvf3uchgHu6qQh/+Vkci4zN57ls33xFeuCero4cUeHetzdsT5dG/nhpGsK1YJGdTHMP785xpojyTg7mZkxvAsR/mqFVZ2E+riy7KFYnvn0IJ/tjeeFlYc5mpjDX+9uh7OTBvDfKz6rkBGzd3AqJQ9vVydmjeyqC5dSIdjblZkjujJg+ha2nE7nuRWHtJaWAFBQUsrCbeeZseFMxQKLXq5ODOwawaDoBjQJ8qyyLD7uVh7s2oAHuzbgUHw2c7ec4/N98Ww+lc7mU1vp2SyQv9zWmjZh3lWWSUREaqak7KKK2QDdmvjzan8d91Q393YKp0mgJ+MX7OJUSh53T9vMtMGddTPZNbJkxwX+77OD2B1wY6tg3hvSGVer1geRcsO6NeRMah5zNp/jqY/2U9/XTbPRBSi/keHd707x1aHEinVgOoT7MCK2Ebe2D1X3oWpIV1TFEMt2XuCDDWcAeP3+DkQ11B+R6sjVauHNByL5y22tMJtg6c44Bn+4jdTcYqOj1WjHknK4773NnErJo56PKx8/0l2FGPkvbcK8eWdwp4rfvQ83njE6khiopNTOnM1n6fXP7/nHV8dIyysh3M+Nl+5qy7ZnbuL/bm9TpYWY/9Suvg//GhDJ93+4nsExDbBaTGw6lcYd72zkmU8PkpanvxsiIvLLCkrKW1cn5RTRLNiTD4Z20SLV1VRkhC+rJvakY4Qv2YU2hs/ezqxNZ3H81krQ8pscDgdvrTnBM5+WF2Ie6BLOjGFRKsTIf3n29jbc2CqY4lI74+bv5mJmgdGRxEDn0vKZsHgPt07dyJcHywsx/dqG8PHDsXw+oQf9o8JViKmmVIyRKrfldBr/99khAB6/qTl3d6xvcCL5LSaTifG9mzJrZFe8XJ3YdT6Tu9/dxKH4bKOj1UhbT6cz4P2tJOcU0zzYk08e6U6LEC+jY0k1dWOrEJ69vQ0Ar3x9jG8PJxmcSKqaw+HgiwMJ9HlzPS+tOkJ6fgkNA9x57f4OfP+H6xnRvREe1ah9RbifO/+4tz3fPXU9t3eoh91RfqfnTW+s56NdcbpYIyIil7DbHfxh+f6K1tVzRnbVWnnVXLC3K0vHd6N/53DsDnj5iyP88eMDFJeWGR2txikts/OXzw4ydd1JAB67sRn/7N9BrYTkF1nMJt4e1IlWoV6k5RUzdt4ucou0bkddk5FfwvOfH6LPm+v58kAiJhPc0aEe3zzRiw+GdaFLI3/NLK3mNMJLlTqTmscjC/dQandwZ2QYT/RpbnQkuUw3tAxmxYQeNAn0ICG7iPunb2HV/gSjY9UoXx5IZMTsHeQWlxLdyJ+PH+5OmK+b0bGkmhvVoxFDuzXA4YAnlu5TIbQOOZqYw4MztjFx8V4uZBQQ5OXC3+9tx7rJ1/FAl4hqvY5QhL870wZ35qOHYmlTz5vsQhtPf3yAYbN2EJehu/hERKTc29+d5KuDSVgtJqYPi1Lr6hrC1WrhXwM68OztrTGb4OPdFxk0YxspuUVGR6sxCkvKeHjhbpbsiMNsgr/f247JfVvqIqr8Jk8XJ2aP7EqQlwvHknKZtGQvpWV2o2NJFSgtszNvyzmuf/175m89T6ndwfUtg/jqsV68O7gzrULVGrqmqL5n8VLrZBfYGDNvF9mFNjo18OX1+zvoQKOGaRrkyWcTenBdiyCKbHYmLdnLP746ik1//H+T3e7g7XUnmbB4DyVldm5pG8r8MdG6608ui8lk4sU729KreSCFtrLyNh7ZOtGtzfKLS3lx5WFuf3sjO85m4Go180Sf5vzwh+sZEtOwRt0tGd3Yn5UTe/DnW1vh4mRm06k0bp26kU/3XNQsGRGROu7LA4lMWVs+I+Dv97RX294axmQyMbZXE+aOisbb1Yk9F7K4653N7DqXYXS0ai8+q5D7p29h7dEUXJzMvD80iiExDY2OJTVEmK8bM4d3wdVq5ofjqfzty6NGR5JKti8uizve2cQLKw+TU1RKq1AvFo+NYe6oaFrXUxGmpqk5Z/NSo5XZHUxaupezafnU93VjxrAu6oFaQ/m4WZk9sisP9W4CwIwNZ3jgg63qV/or8otLmbB4D2+uOQHAyO6NmKbFGOUKOVnMTBvSmebBniTnFDNm3k7yi0uNjiWV4IfjKfR9awNzt5zD7oDb2oeydvJ1PNGnRbVqR3YlnCxmHr6uKd880ZuujfzIKy5l8kf7eWzpPrIL1VpBRKQuOhSfzVPL9wEwpmdjHugaYWwguWq9WwTx+cSeNAv2JCmniAdnbGPa96ew23XTxS/ZcTaDu97ZxOGEHPw9nFk0NoZ+bUONjiU1TGSEL1Me7AjA3C3nmL/1nKF5pHIUlJTy8hdHuO+9zRxLysXHzcrLd7fli0k96d4s0Oh4cpVUjJEq8a/Vx9lwIhVXq5kZw6MI8nIxOpL8DhaziWdua830oZ3xcnVi74Usbpu6UetZ/Ie4jAL6v7+Frw+Vt1549b72vHhXWyxmzQiTK+ftWl4IDfBw5nBCDo8v1ZT02iQzv4TJH+1j5JydxGcVEu7nxvzR0bw3JIpwv9rRsqVxoAdLx8fyh74tsJhNrNqfwF3vbuJIQo7R0UREpAql5BYxbv4uimx2rmsRxDO3tjI6kvxOjQM9WDGhB3d3DKPM7uD1b48zYs4OUnOLjY5WrSzafp7BH24jPb+ENvW8WTmxB100I0yu0i3t6vH0LS0BeHHlYb47lmxwIrmWNp9Ko9+UDczadBa7A+7tVJ/v/3A9w2Ib1ahOCfLf9H9PKt0XBxJ4/4fTALx2fyRtw3wMTiTXyi3t6vHVY72IjPAlp6iUhxbs5sWVh7V4I7DlVBp3vruJY0m5BHq6sHR8NwZGNzA6ltRwEf7uzBjeBRcnM2uPpvD8ysNq9VTDORwOvjyQyM1vrefTPfGYTDC6R2O+faI3vVsEGR3vmrOYTUy8sTkfPxxLuJ8b59MLuO/9zXyy+6LR0UREpAoUl5bx8ILdJGYX0STIg7cHddJFpVrC08WJKQ925LX+HXC1mtl4Mo3b3t7IllNpRkczXEmpnf/77CD/99khSu0Obu9Qj48fia01N9yIcR65rikPdAnH7oAJi/ayPy7L6EjyO2UX2Hj64/0MmbmduIxCwnxcmTOqK2892BF/D2ej48k1oKMeqVRHE3P44/IDADzUuwl3RYYZnEiutQh/d5Y/FMv4H9uWzd1yjv7vb+FUSq7ByYzhcDiYufEMw2bvIKvARodwH1ZN6kFUQ93xJNdGVEM/pg7shMkEi7dfYNr3p4yOJFcpq6CEiYv3MmHxHtLySmge7MnHD3fn+Tvb1NiWZJerUwM/vpjUs2INsqeW7+elVYcpU0sTEZFay+Fw8NyKQ+y5kIWPm5VZI7ri46Y1FGsTk8nEA10jWDmxJ82DPUnNLWbIrO3869vjlJTWzRndyTlFDJ25nUXbL2AywR/7teTdQZ1wd67dx3pSNUwmE3+/tz29WwRRaCtj9NydnE/PNzqWXKVNJ9PoO2U9H+26iMkEI2IbsnryddzQMtjoaHINqRgjlSYzv4TxC3ZRaCujV/NAnr5F089rK2cnM3+5rTWzR3bBz93Kofgcbnt7E9PXn65TF9Yy80sYO28Xf/vyKGV2B/d2qs9HD8VSz8fN6GhSy9zSLpQX72wLwL9Wn+BjzSqocbacTuOWKRv58mAiTmYTj93YjC8e60lUQz+jo1UZX3dn5ozsyhN9mgMwZ/M5xszbSW6R1pEREamNFm2/wEe7LmI2wTuDOtE40MPoSFJJWoR4sXJiTwZ2jcDhgHe/P8Vd727iUHy20dGq1PfHU7h16kZ2nMvA08WJmcO7MOGGZphMalst147VYua9IZ1pV9+b9PwSRszeQXqeWgTWJMWlZfztiyMMnbWd5JximgR6sPyhWF66ux2etfwmvbpIxRipFKVldh5bupe4jEIa+LvzzqBOWiejDrixVQhfP96b61sGUVJq59Wvj/04SybP6GiVbuvpdG6dupF1x1Jwtph56a62vPlAJK5Wi9HRpJYa0b0RD11XPiPtz58cYP2JVIMTyeUoLi3jla+OMmTmdpJyimgc6MEnj3Rnct+WuDjVvfHCbDbxRJ8WvD+kM65WMz8cT6X/+1uIzyo0OpqIiFxDu85l8NKqwwA8fUurWtmKUy7l5mzh1f4dmDa4M/4ezhxLyuWeaZt5c82JWj9LpshWxt+/PMKoOTvJyC+hdT1vPp/Yg5tahxgdTWopTxcnZo/sSrifG+fSCxg9bxcFJaVGx5LLcDwpl7vf3czMTWcBGBLTgC8f66X1pGoxFWOkUrz27XE2nkzDzWphxvAofN3V17CuCPVxZc7Irrx2fwe8XJzYF5fFbW9v5INaOkumyFbGS6sOM+jDbRUXVj99tDsjujfSHU9S6f7UrxX3dAyj1O7gkYW769zdhjXNqZRc7p22hQ82nMHhgEHREXz5WE8iI3yNjma4W9vXY/lD3QnxduFEch73vbeZY0k5RscSEZFrIDmniEcW7cFW5uD29vV46Mf2xlI33N6hHquf7M2t7UIptTt4e93JWj1L5lB8Nne9u4kPN5ZfWB0R25DPHu1O0yBPg5NJbRfs5cq80dH4ulvZH5fFpMV7KS2r3YXPmsxudzB709mKtYYDPJyZObwLf7+3PW7Ode8mvbpExRi55j7fF8+MDWcA+NeASFqFehucSKqayWTigS4RrJ7cm+talM+SeeXrY9z33mYOXMwyOt41s+tcBre9vZE5m88BMLBrBKsm9aRdfR9jg0mdYTabeO3+SHo0C6CgpIyRc3ZyIb3A6FjyHxwOBx/tjOOOdzZxJDEHP3crHwyL4pX7Oqhf+M+0D/dhxYQetAjxJDmnmAHTt7LtTLrRsURE5HcoLi3jkYW7Sc0tpmWIF6/d30E3LNVBgZ4uvD80incHd7pklswrXx8lv7h23L1fXFrGlLUnuGfaZk4k5xHo6cyMYVG8dHc7dUuQKtM0yJNZI7rg4mRm3bEUnvv8EA5H7bsptqbLzC9h7Pxd/PWLI5SU2rmhZRDfPNGbPm00e64uUDFGrqlD8dn86ZMDADx6fVNu71DP4ERipHo+bswd9e9ZMvsvZnP3tM385bODZOaXGB3vqmUVlPDnTw5w//StnEnNJ9jLhTkju/Jq/w7q5ylVztnJzPtDo2gV6kVaXjFDZm0jKbvI6Fjyo/ziUp76aD9Pf3KAIpudXs0D+faJ3vRrG2p0tGqpno8byx/qTnQjf3KLShk+ewffHUs2OpaIiFyll1YdYc+FLLxdnfhgWBQeOlau0+7oEMbqJ3tzW/vyWTIfrD/DTW+sZ9X+hBp9wfinltVT1p6k1O7g1nahfPtEb/rqeE8MENXQn7cHdcJsgiU74nj1m2M1+verttl9vvym3u+OpeDsZOavd7dl9siuBHm5GB1NqoiKMXLNZOSX8NCC3RTZ7FzfMoin+rY0OpJUAz/Nkln31HXc26k+Dgcs3n6B3q9/z/T1pymylRkd8bKVltlZtP08N72xnqU74wB4sEsEq5/szQ2tgg1OJ3WZt6uV+aOjaRjgTlxGIUNnbSejBhc8a4vjSbnc9e4mPt0bj8Vs4ulbWjJvVDTB3q5GR6vWfNytzB8Tzc1tQigptfPQgt2sPpxkdCwREblCS3ZcYPH2C5hMMHVQJxoFehgdSaqBQE8X3hsSxczhXYjwdyMpp4hJS/Zy//St7DqXYXS8KxKfVcjjS/cy6MNtnEnNJ9DThXcGdeK9IZ0J8NSFVTFOv7ah/P3e9gB8sP4M7/1w2uBEYrc7+GD9aR74YBuJ2UU0CfRgxaM9GB6rFvd1TZ27LWXatGm8/vrrJCUlERkZyTvvvEN0dLTRsWq8Mgc8vmw/8VmFNApwZ+qDnbCYNZjIvwV7u/LWgx0Z2DWCF1cd4WhiDq9+fYz5W84x6abm9O8cjrNT9awPOxwOfjieyj++OsrJlDwAmgd78vd72xPdWIuqSfUQ7O3KwjExDJi+lVMpeYyYvYNF42LwdrUaHa3OcTgcLN91kedXHqLIZifU25W3B3XSeHEFXK0W3hvSmSeW7ePLA4k8umgPUwd20oxbqZNScos4k5rPhYwCLmYUkFlgI6+4lLziUkyA1WLGajHh7+FCoJcz9XxcaRrkSdMgT81CEMPsuZDJC58fBuAPfVtyQ0vduCSX6tMmhJ7NA5m+/jQfrD/D7vOZ3D99K33bhPB4n+a0Dau+rZ+zC218sP40szadpbi0fE2OITENePqWVvi46dhbqodB0Q3ILy7lb18e5fVvj+Pp4sSI7o2MjlUnZeaX8NTy/Xx3LAWAuyLD+Md97dVZpY6qU//Xly1bxuTJk5k+fToxMTFMmTKFfv36cfz4cYKDdXD4e3x+3sy2xEw8nC3MGN4FH3cdgMgvi2kSwBeTevLZ3njeWH2chOwinvn0IO+sO8kj1zfl/qiIarNYmcPh4PvjKUxdd4r9cVkA+LpbeeKm5gzp1hCrpXoWj6TuivB3Z+HYGB74YCsH47MZO3cX80ZHV5vfqbogv7iU51Yc4tO98QBc1yKINx+I1N2RV8FqMTP1wY5YzSZW7Etg0pI9lNo7cnfH+kZHE6k0DoeDUyl5rD+Rys5zGeyPyyYp5+pbTzYKcCeqoT9dG/nRvWkgDQLcr2FakV+WklvEIwt3U1Jm55a2oTx6fVOjI0k15Wq18ESfFgyKbsCUtSdYtjOO1UeSWX0kmT6tQ5h4YzM6RvgaHbNCVkEJszefY87ms+QWla91062JP8/e3kbrhkq1NLZXE3KKSnl73UleWHkYDxcn7o8KNzpWnbL7fAYTF+8lMbsIZyczL97ZlkHREZoNU4fVqWLMm2++ybhx4xg1ahQA06dP58svv2T27Nn8+c9/NjhdzbViXwLrE8svSr/xQCQtQrwMTiTVncVs4v6ocO7oUI+F287zwYYzJGQX8dznh3ljzQkGdm3AsNiG1Pd1MyRfka2MlfsSmLvlHEcScwBwtZoZHtuICdc3U7FRqrVmwZ7MHx3NoA+3seNcBg8v3M2Hw7tU25lntcnxpFweXbSb06n5WMwmnurbgod7N8WsmaJXzcli5o0HOuJkMfPx7os8sWwftjKHTiKlVnE4HOyNy2LlvgRWH04i4T/W/TKbyovtDfzdifB3J9DDGS9XKx4uTjhwUGZ3UGQrIz2vhLS8Ei5mFnA6NY+0vBLOpRdwLr2AT/ZcBMpn9vZpE8Lt7evRNsxbFwLkmisptTNh0R6Sc4ppFuzJvx6I1H4m/1OItyuv3NeBMT0b8/a6U6w6kMDao8msPZpM5wa+jOzRmFvbhRp2M9zZtHzmbTnHx7svkldcXoRpEeLJU31b0rdNiPZxqdae7NOcvKJSZm8+y9Mf78fD2cKt7TXbvLLZ7Q5mbDzD698ep8zuoEmgB+8O7kybMG+jo4nB6kwxpqSkhN27d/PMM89UPGY2m+nTpw9bt279r+2Li4spLi6u+Dwnp/yCrM1mw2azVX7gGuJgfDb/t+IIAA/3ashNLQP1/shlswAjukXwYFQYy3fHM3vzOS5mFZVPVd9wmu5NAri3Uxg3tw7C3blyhyuHw8HB+BxWHkjk832JZBWW78duVjODoyMY27MRgT/e2V6t9nGbDWvFhzaoTtmuoZ/e82r13ldjLYPd+XBoJ0bN2836E6lMWrybtx7oYNxsrlq+nzocDj7eE89fvzxGkc1OiLcLbw3oQNdGfpSVlVJWc5bGqrb+fldrnMywdOdF/vjxfkpsNgZc44KMxhmpahn5JSzfHc+yXReJyyyseNzZyUxMIz+6Nw2gQ7g3bet5X1W7sYz8Eg4l5LDrfCY7z2WyNy6bkyl5nEzJ4/0fTtMi2JN7OtXjvk71CfBwvpYvTX5DbR9rXlp1lJ3nMvF0ceK9QZG4mB219rXKtdfQz5U37m/HhOsaM33DGb44mMSeC1nsubAXfw8rd7Svx70dw2gb5lXpBZD84lLWHk1hxf5ENp1Kr3i8ZYgnE65vQr82IZjNJkpLSys1x9Wo7eNMbT+3qAx/7teMnMISPt4Tz2NL9zLdAr2bBxodq9bKLCjh6U8O8cOJNADuaB/Ky3e3wdPFqdb8Xtb6ceYKXcn7YHI4HI5KzFJtJCQkUL9+fbZs2UJsbGzF408//TTr169n+/btl2z/4osv8tJLL/3X91m8eDHu7pre/5P5J83sTjPT1s/O2JZ2dPOv/B52BxzONLE+0cTJnH9fNLaaHbT0cdDWz0ErXwf+16jbT6kdzuSaOJpp4mCmidSif+/A/i4OeobY6RbswKMaT4SxFBVxx8CBAHyxdCllrloYXP7tWJaJGcfMlDlMdPC3M6K5HSMmyNTm/bS4DD46Y2ZXWvkb29rXztBmdjyr8bhRUzkc8Ok5MxuSzJhwMLy5nc6BdeIwVmqZpAJYl2BmT5qJUkf5sYez2UF7fwedAx208HZQGd0lC0rhaJaJA+kmDmX++2c7mRxEBTq4rp6d+lpfXX6HbSkmlpwu33nHtSqjnZ/GaPl9ckpgc7KJLclmcmz/PlcLcCk/N2zr56CJ17UbM7NLysfJo1kmjmSaKLGX/0wTDtr4Oegd6qCFj0PXPQxWm88tKpPdAfNOmtmXbsZicjC6pV3jdCU4mwtzT1jIKjHhZHLQv7Gd2GAHmkBXuxUUFDB48GCys7Px9v7t2U8qxvxKMeaXZsZERESQlpb2P9/UusRWZuf9H05TP/8kd916M1arrj7JtXE+o4CV+xL5bF/CJXeLAoR6uxDVwI/W9bxoFuRBkyAPQrxdfnX2jMPhIKPAxoWMAi6kF3AkMZcD8dkcTsih0Gav2M7VauamVsHcHVmP3s0DsdSEo+z8fKx+fgDYMjPBo3ZeRbHZbKxZs4abb9Y4c6W+P57KhCXlrZ1uaBnIOw9G4mKt4jVkaul+ejwpl8eWHeBMWnlbsidvasa4no3UlqwSORwOXvziKIt3XMTJbGLa4I7c2DLomnxvjTNS2U4k5zLthzN8fTiZn87A2oV5M6xbBLe0Dan0WcA/l1No4+vDySzbdZGD8TkVj1/XIpAJ1zehUzVao6G2qa1jzf6L2QyauQNbmYPHbmzKpBu0ToxcO6VldjadTmfFvkTWHk2huPTf53BOZhNt6nnRMcKX5sGeNA3yoGGAO/7uVpx+ZVa4rcxOQlYRFzIKOJ2Wz8GLORyMz+ZsesEl2zX0d+euyFDu7hhGQ/+ac1NubR1nKtTSc4uqUFJqZ/LyA3x7JAWrxcSUBzrQt02I0bFqBbvdwczN53hz7SnK7A4aB7gz9cFIWternUs51Ppx5grl5OQQGBh4WcWYOtOmLDAwEIvFQnJy8iWPJycnExoa+l/bu7i44OLy37ffW61W7WQ/Y7XCYzc156uvTuq9kWuqWYgPk/v58GTflhxLymXd0WTWHUvh4MVsknKK+fJQEl8eSrrka9ysFvx+POh2MpsoczjILSolt8iGreyX686Bni5c1yKI61oGcWOrYDyvog2IoX72O2e1Wi/5vDbSOHPl+rYLY9YIK+Pm7+L742k8smQ/Hw7vgmtVFmRq2X7qcDhYtP0CL39xhOJSO6Herrw9qBPRjf2NjlYn/O2eDhSU2FmxL4FJS/czd1RXuje9dm0WNM7ItZaUXcS/Vh/nkz0XK4ow/dqG8NB1TekU4WvIWgMBVitDYxszpFsj9lzIYs7ms3x9KIn1J9JYfyKN3i2CeLpfSy1IXYlq01iTmlvMxCX7sZU56NM6hCf6tNSNCXJNWa1wc9swbm4bRkFJKZtOpvHdsRTWn0glMbuIA/E5HPhZYRnAZAI/d2c8XCxYTCbMZhNFJWXkFJVWrPvyn0wm6BDuy3UtgripVTAdwn1q9HowtWmcuUQtO7eoSlYrTBsSxZMf7WfV/gQeW3aAKQ925M7IMKOj1WhpecVM/mg/G06kAnBXZBj/uK99zbu+dBVq7Thzha7kPaj9e8WPnJ2diYqKYt26ddxzzz0A2O121q1bx8SJE40NJyK/ymQy0bqeN63reTPxxuYUlpSxLy6LPRcyOZGcy6mUPM6k5lNoKyv/l/3LizOYTBDq7UqEvzutQr3oEO5LZLgPTYM8dbIotV7vFkHMGdmVMfN2sfFkGqPn7mTmiC5Vehd2bZFdaOOZTw/w1cHyYvD1LYN4Y0AkAZ7XqH+i/E9ms4nXB0SSX1LGmiPJjJu3i4VjY+jUwM/oaCKXKLKVla+Dt/4Mhbby45Pb2ocy6cbmtK5XPWbam0wmohr6EdXQj3Np+bz3wyk+3RPPhhOpbDiRyr2d6vNU3xaE+9WcO8KlatnK7ExYvIeknCKaBHnw5oOROraWSuXu7ETftqH0bRuKw+EgPquQ3eczOXAxm1MpeZxKySMhuxCHo3ztrIz8X/4+rlYzDfzdaRjgQbswHyIjfIgM98VPa2hJLedkMTPlwY5YLSY+3RPP40v3UlJqp/81Xo+xrth8Ko0nlu0jNbcYFyczL9zZlkHRETW6kCuVq05dhZk8eTIjRoygS5cuREdHM2XKFPLz8xk1apTR0UTkMrk5W4htGkBs04CKxxwOBwUlZaTlFZNVYKPU7qDMXt7L18vViperE/4ezlU7E0CkmuneLJB5o6MZNWcHW06nM3L2TmaP6lon7ta5VvZeyGTSkr1czCzEajHxp1taMbpHY110MoDVYuadQZ0YM28nm0+lM3LOTpY91I1WodXjArfIppNpPLviIOd+bHnTpaEf/3d762pdNGwU6MFr90cy8YbmvLHmOJ/vS+CzvfF8dTCRCTc0Y3zvJjqWkv/y8hdH2HE2A08XJ2YMi8LbVXfHStUxmUyE+7kT7ufO3R3rVzxeZneQWVBCWl4xBSVl2O0OSu0O3KwWvN2seP94fqiLpVJXWcwm/nV/JM4WM0t3xvGHj/dTarfzYNcGRkerMUrL7ExZe5JpP5zC4YDmwZ68O7gzLUNrZ1syuXbq1BWYBx98kNTUVJ5//nmSkpLo2LEj33zzDSEh6o8oUpOZTCY8XJzwcHGiYcD/3l6kropu7M+CsTGMmL2DHecyGPzhNmaP7EqgZnX8JrvdwYyNZ/jXt8cptTto4O/OO4M6Eak1FQzlarUwY1gXhs7azt4LWQyduYOPH46lUaD6hotxsgtsvLTqMJ/ujQcgxNuF5+9oy23tQ2vMRb8GAe5MHdiJsT2b8PevjrDtTAZvrjnBJ3su8te723Fdi2uzTpPUfMt2XmD+1vMATHmwI82CdQFKqgeL2USgp4uOcUV+g9ls4h/3tsdqMbNg23n+9MlBcgpLGde7idHRqr2ErEIeX7qXnecyARgUHcHzd7TFzVk3rcj/9surmdViEydO5Pz58xQXF7N9+3ZiYmKMjiQiIlJlOjfwY9HYGPzcrRy4mM3972/hfPqv9G8Q0vKKGTl3J69+fYxSu4M7OtTji8d6qhBTTXi4ODF3ZDSt63mX/7+as4P0vGKjY0kd9cPxFPpOWc+ne+Mxm2Bk90asnXwdt3eoV2MKMT/XPtyHJeO68fagTgR7uXA+vYARs3fw9Mf7ySmyGR1PDLbnQibPrTgMwOSbW9BHC0CLiNQ4ZrOJv97dlnG9GgPw96+O8vIXR7Dbf3nNXYE1R5K5depGdp7LxNPFiXcGdeKV+zqoECOXrc4VY0REROq6DuG+fPJId8L93DiXXkD/97ewPy7L6FjVzuZTadw6dSMbTqTiajXz6n3teWdQJ7VgqWZ83K3MG921Yn8ePW8XBSW/vDCvSGUospXx3IpDjJyzk+ScYpoEevDxI9158a62eNXw8cJkMnFXZBjf/eF6RnZvhMkEH+26SL+3NrD+x0Vqpe5Jzini4QW7KSmz069tCBNvaGZ0JBERuUomk4m/3Naav9zWCoBZm87y2NK9FNl+eT3euqrIVsaLKw8zbv4usgttdAj34cvHenJnZJjR0aSGUTFGRESkDmoS5Mmnj3anbZg3aXklPPDBVr44kGB0rGqhsKT8QHvIzO2k5hbTIsSTlRN7MjC6QY28u70uCPZyZd7oaHzdreyPy2LS4r2UltmNjiV1wKmUPO6ZtpkF28pbNY3q0YgvH+tF52q8NszV8HRx4sW72rJ0XDcaBriTmF3EiNk7+PMnB8jVLJk6pbi0jIcX7iblx7+PbzzQUWuniYjUcCaTifG9mzLlwY44mU18cSCRQR9uIzVXM84BDl7M5s53NjF3yzkAxvZszMcPd6dhgNojy5VTMUZERKSOCvZyZdlDsdzYKpjiUjsTF+9lytoTOBx1d1r67vOZ3Pb2xooD7SExDfh8Qk9ahKgPfnXXNMiTWSO64OJkZt2xFJ77/HCd3pel8n2+L54739nEsaRcAj2dmT86mhfurN39wmOaBPD1470Y2b0RAEt3xtHvrQ1sPZ1ubDCpEg6Hg+dXHGbvhSy8XZ2YMawLni51ahlaEZFa7Z5O9Zk/OhofNyt7L2Rx97ubOJKQY3Qsw9jK7Ly15gT3vLeZkyl5BHq6MHtkF569ow3OTrqkLldHe46IiEgd5unixIfDuzC2Z3mf4ClrTzJ+we46tx5AcWkZ//zmGAOmb+FsWj6h3uUzLf5+b/tafWG1tolq6M/UgZ0wmWDJjgu8+90poyNJLVRmd/DKV0d5fOk+Cm1l9GgWwFeP96J3HVnY3t25fJbMsvHdaODvTkJ2EUNmbmPq2pOUqcd8rbZw23mW7YrDbIJ3BnemUaDuCBYRqW26Nwvks0e70yTQg4TsIvq/v4XP98UbHavKnUjO5d73NjN1Xfnxze0d6rHmyd7c2EprpMnvo2KMiIhIHWcxm3j2jjb8s397nC1m1hxJ5q53NnEsqW7cBXXwYjZ3v7uZ9384jd0B93aqz7dP9Oa6OnJhtba5pV0oL93VFoA31pxg+a44gxNJbZJdYGP03J18sOEMAI9e35T5o2MI9nI1OFnVi2kSwDdP9GJAVDh2B7y19gTDZm0nJafI6GhSCbafSeelVUcA+NMtrfQ3UkSkFmsS5Mlnj/agV/NACm1lPL50Hy98foiS0trfBthWZmf6+tPc8c4mDsXn4Otu5Z1BnZg2uDN+Hs5Gx5NaQMUYERERAeDBrg34+JFY6vuWL4R+z7TNLNx2vta2esoutPH854e4a1p5myF/D2emD+3MWw92xMe9Zi+6XdcNj23Ew9c1BeCZTw+y+VSawYmkNjiVkss9721m/YlUXK1m3hnUiadvaYWlDq+X4e7sxOsDInnzgUjcnS1sOZ3ObW9vZOPJVKOjyTUUn1XIo4v2UGp3cFdkGON7NzE6koiIVDIfdytzR0Xz2I3NAJi39Tz3/9hFoLbaeS6DO97exKtfH6Ok1M4NLYNY/URv7owMMzqa1CIqxoiIiEiFDuG+fDGpJ9e1CKLIZufZFYcYN3836Xm1Z/FGh8PBir3x3PTGeuZvPY/DAXdFhrH6yd7c0q6e0fHkGnm6X0vuigyj1O7g4YW7OZWSa3QkqcHWHknmnmnlFyDq+7rxySPddWL+M/d1DmflxJ60CvUiLa+E4bN38Pq3x9S2rBYoLCnjoQW7SM8voU09b/7ZvwMmU90tQIqI1CUWs4nJfVsye2QXfNysHLiYze1vb2TZzgu16oa99Lxi/rh8PwOmb+V4ci5+7lZev78Ds0d2Jdi77s1+lsqlYoyIiIhcws/DmTkju/LcHW1wtphZezSZflM2sGp/Qo0/6D6VksvgD7fzxLJ9pOUV0yTIg8VjY3h7UCcCPV2MjifXkNls4rX7OxDV0I/colJGz91Vq4qKUnXmbj7LuAW7yCsuJaaxPysn9qBtmI/RsaqdZsGerJjQg8ExDXA4YNr3pxk5ZweZ+SVGR5OrZLc7eGr5Pg7F5+Dv4cyM4VFaR01EpA66sVUI3zzRi9gmARSUlPGnTw4yZt4uErIKjY72u9jtDpbsuMCNb6xn+e6LAAyKjuC7p65nQJcI3XwglULFGBEREfkvZrOJMT0bs2JCD1qEeJKWV8KkJXsZN38Xidk176A7La+YFz4/xC1TNrL1TDouTmb+2K8lXz/ei+7NAo2OJ5XE1WphxrAoIvzduJBRwEMLdlNkKzM6ltQQDoeDV78+xourjuBwwOCYBiwcG0OACre/ytVq4R/3tmfqwI64WS1sPJnGne9u4nBCttHR5Cq8seY4Xx1MwmoxMX1oFOF+7kZHEhERg9TzcWPR2Bj+fGsrnC1mvjuWws1vrmf+1nM1cibsph+PUZ759CDZhTZa1/Pmk0e688p9HbQ2jFQqFWNERETkV7UJ82bVpJ48flNzrBYTa4+mcOO/1jN17UkKS6r/Re2cIhtT157kute+Z97W85TaHfRpHczaydcx4YZmuDjpDt/aLsDThTkju+Ll6sSu85n86ZMDNX6Gl1Q+W5mdpz7az/T1pwH4Y7+W/P2edlgtOn26HHd3rM+nj3angb87FzML6f/+Fj7fF290LLkCn+y+yLTvy/f/V+/rQHRjf4MTiYiI0cxmEw9f15QvH+tJVEM/8kvKeP7zw9z5zia2nUk3Ot5l2R+XxbBZ2xk6azuHE3LwdHHiuTvasGpiD6Ia+hkdT+oAnU2IiIjIb3JxsvDkzS348rFedGnoR6GtjLfWnuCmN37go11xlJbZjY74X7ILbUxZe4Ker37HW2tPkF9SRvv6PiweG8PMEV2J8NfdvXVJs2Av3h8ShcVs4vN9CUxdd9LoSFKN5RWXMnruTj7dG4/FbOL1+zsw4YZmalVxhVrX82blxB70/nENsseX7uPlL45Uy78ZcqkdZzP486cHAJhwQ1P6R4UbnEhERKqT5iFeLH8olr/e3RYvVyeOJOYwcMY2Hlqwi+NJ1XOdxr0XMhk5Zwd3T9vMxpNpWC0mRnZvxPo/Xs+Yno1x0g03UkWcjA4gIiIiNUOLEC+WPxzLFwcSefXrY8RnFfL0xweY9v0pJtzQjHs61sfZydiD2LNp+czdfJbluy9S8OPMnWbBnjx+U3Nub18Ps1kXU+uqns0D+ds97Xjm04NMWXuSxoEe3N2xvtGxpJpJzS1m1NwdHIrPwc1q4b2hnbmhZbDRsWosX/fyNcjeWH2c9344zaxNZzmSkMN7QzqrBUg1dT49n4cW7MJW5uDWdqE8dXNLoyOJiEg1ZDabGB7biDs6hPHWmhMs2n6ebw8n8+3hZG5vX4+JNzajdT1vQzOW2R2sPpzErE1n2XU+EwCL2cQ9Hevz2E3NaBjgYWg+qZtUjBEREZHLZjKZuDMyjJvbhDB/6zk+WH+G8+kFPP3xAV775jiDYxowJKYBId6uVZapyFbGmiPJfLQrjk2n0vipA1WrUC8m3tiM29qpCCPlBkU34GxaPjM2nOGPyw9Q39eNLo3UekfKJWUXMejDbZxNyyfAw5nZI7sSGeFrdKwaz2I28fQtrWhf34enlu9n65l07pq2iQ+Hd6FVqLEXaeRS2YU2Rs/dSWaBjfb1fXjzgY76+ykiIr/J38OZl+9px7DYhkxZe4KvDibx5cFEvjyYSLcm/ozs3og+rUOqdOZJXEYBy3df5JPdF4nPKl/v1GopL8JMuKEZjQJVhBHjqBgjIiIiV8zVamF876YM7daQhdvOM2vTWZJzinl73UmmfX+K7k0DuCsyjH7tQqmMS21FtjI2nkzj28NJrD6cRE5RacVzN7YKZnSPxvRoFqC2QvJf/nRLK86l5bP6SDLjF+xmxaM9aBCgtnV1XUJWIYM+3Mb59ALq+5YvUKsT9Wvr1vb1aBzkwbj5u4jLKOS+97bw5gMduaVdqNHRBCgptfPoot2cTs0n1NuVmSO64OasddVEROTytAjx4r0hURxLyuGd707x9cFEtp3JYNuZDAI9Xbi9fSh3dQyjU4RfpRT64zIK+PZwEt8eTmLnucyKx/3crQyJaciw2IZVesOgyK9RMUZERESumruzE+N7N2VUj8Z8cyiJeVvOset8JhtPprHxZBrPfHqQbiEuLPxx++xCGz5XcX0zp8jG0YQcdp4rP6DfdT6DItu/1x0I83Glf1Q490eFa7q5/CaL2cSUgR154IOtHIrPYdTcHXz6aA/cdVRcZ8VnFTJoxjYuZBQQ4e/GknHdCPdTga4ytAr1ZuWEnkxYvIctp9N5eOFunuzTgkk3NtMMDAPZ7Q7+sHw/m0+l4+5sYeaILrpgJSIiV6VVqDfTBncmPquQxdvPs2RHHGl5xczbep55W88T4OFMj2aB9GweSMcIX5oEelzxrBm73UFcZgEH47PZdiadrafTOZ2aX/G8yQQ9mwVyf1Q4/dqG4mrVzQVSfei0U0RERH43q8XMnZFh3BkZxtm0fFbtT2Dl/gROpeSx+3xWxXbd/rGOoFB/GgV6UN/XlVBvNzxdnXB3tmC1mCkuLaPIZie70EZydhGJOUWcTsmrmF7+c2E+rvRtG0q/tqFEN/bHogt5cpncnZ2YObwr90zbzOnUfB5dtJsPh3YyOpYY4GJmAYM+3EZcRiEN/N1ZMr4b9X3djI5Vq/l5ODNvdDR///Ioc7ec4621JziWlMO/BkTi4aLT06rmcDj4+1dHWbk/ASezielDo2hX38foWCIiUsPV93Xjj/1a8fhNLdh8Ko2V+xNYfTiJ9PwSVv54rgjgajXTIsSLcD836vm4EeTlgruzpbyA4oCi0jIKS8pIyysmMbuI+KxCTibnkVdcesnPM5sgurE//X48PwzT8ZxUUzraFRERkWuqcaAHj93UnMduak5cRgFbDlyAt/79/IWMAi5kFFzx9w3zcaVDuC+xTQPo1iSAFiGeakMmVy3Ux5VZI7swYPpWNp9K56UvjhKrI+M6JS6jvBBzMbOQhgHuLBnXTSfuVcRqMfPiXW1pFerFc58f4utDSZxNy+fD4V2I8NespKr04cYzzNp0FoDXB3Sgd4sggxOJiEht4uxk5oZWwdzQKpiSUjt7L2Sy6VQa286kczghh4KSMg5czObAxewr/r4tQjzp2sif2CYBRDf2x9fduZJehci1o1NOERERqTQR/u482DWi4vMtf76RozllXMwsJCG7kKTsIgpKyigoKaOkzI6LkxlXqwVPFyfq+bgS6uNKA393Wod64+NuNfCVSG3UNsyHtwd2YtyCXSzbFU9RQxO3Gx1KqkRcRgEDZ2wjPquQxoEeLBnXjVAftWWqagOjG9As2JOHF+7mWFIud0/bzHtDOtOtSYDR0eqET/dc5B9fHQPgL7e14t5O4QYnEhGR2szZyUxMkwBifvw7b7c7OJuez8nkXBKyikjMLiQ9r4Si0vLzQxPla5W6Wi0EeDgT6uNKPR83mod4XlV7M5HqQMUYERERqTJ+Hs50D9aaLlJ99GkTwv/d1pq/fXmUlefN3HI0hVs71Dc6llSiC+kFDJyxlYTsIpoEerBYhRhDdWnkz8qJPRm/YBeH4nMYOnM7L9zVlmHdGhodrVZbfyKVpz8+AMDYno0Z37upwYlERKSuMZtNNA3ypGmQp9FRRKqMSogiIiIiUqeN6dmYgV3DcWBi8vIDHIq/sjYJUnOcS8vnwZ8KMUEeLB2vQkx1EObrxvKHunNnZBildgfPrTjEXz47SEmp3ehotdLeC5k8snA3pXYHd3cM4y+3tTY6koiIiEidoGKMiIiIiNRpJpOJ529vRUsfO4U2O2Pm7SQpu8joWHKNnU3LZ+CMbSRmF9H0x0JMsLcKMdWFm7OFtwd25OlbWmIyweLtFxg6cztpecVGR6tVDlzMYvjsHRSUlNGzWSCv3x+J2az110RERESqgooxIiIiIlLnWS1mRraw0zTIg+ScYsbM20l+canRseQaOZOax8AZW0nKKaJ5sCdLx8cS7KVCTHVjMpl49PpmzBzeBU8XJ3acy+DudzdzOEGz1a6FQ/HZDJ25ndyiUro28uODYVE4O+mSgIiIiEhV0ZGXiIiIiAjg7gQfDutEgIczhxNyeGLZPsrsDqNjye90KiWPgTO2kZxTTIsQT5aM70aQl4vRseQ33NQ6hBUTutMowJ34rEL6v7+FLw8kGh2rRjuSkMPQWdvJKSqlcwNf5oyKxsNFS8iKiIiIVCUVY0REREREfhTh586M4eV3i685ksw/vzlmdCT5HU6l5DLow22k5BbTKtSLJeO6EeipQkxN0CzYi88n9KRX80CKbHYmLN7DG6uPY1eB9IodT8pl6KztZBXY6Bjhy7zR0XiqECMiIiJS5VSMERERERH5maiG/rx+fwcAZmw4w5IdFwxOJFfjZHIuA2dsJ/XHQszicd0IUCGmRvFxtzJnZFfG9WoMwDvfnWL8gt3kFtkMTlZznEzOZfCH28jIL6FDuA/zRkfj5Wo1OpaIiIhInaRijIiIiIjIf7i7Y32e6NMcgOdWHGLzqTSDE8mVOJ6Uy8AZ20jLK6ZNPW+WjOuGv4ez0bHkKjhZzPzf7W14Y0Akzk5m1h5N5r73tnA+Pd/oaNXe0cQcBn24nfT8EtqGebNgdAw+birEiIiIiBhFxRgRERERkV/w+E3NubtjGKV2Bw8v3M2plFyjI8llOJaUw6APt1VcgF40NgY/FWJqvP5R4Swb341gLxdOpuRx17ub2XRSRdJfs/t8Jg9+sJW0vGJa1/Nm4ZgYfNxViBERERExkooxIiIiIiK/wGQy8c/+HYhq6EduUSmj5+4iI7/E6FjyG44k5DBoRnlLpvb1fVSIqWU6NfBj1aSeREb4kl1oY8ScHUxff1rryPyHjSdTGTpzOzlFpUQ19GPp+G76PRARERGpBlSMERERERH5Fa5WCzOGRRHh78aFjALGzd9Fka3M6FjyCw4nZDNk5jYyC2x0CPdh4ZgYfN11Abq2CfF2Zdn4btzXuT5ldgevfn2MkXN3kpZXbHS0auGT3RcZPXcnhbYyejUPZMGYaLUmExEREakmVIwREREREfkNAZ4uzBnZFW9XJ3afz+TxpXsp05341cqh+GyGzNxOZoGNyHAfFqglU63marXwxoBIXrmvPS5OZjacSOXWqRvr9NpODoeDqWtP8tTy/djKHNzRoR4zR3TB3dnJ6GgiIiIi8iMVY0RERERE/odmwV58OLwLzhYz3x5O5sWVh3E4VJCpDg5eLC/EZBXY6Bjhy4KxWqS8LjCZTAyKbsDKiT1pHuxJam4xQ2dt51/fHqe0zG50vCpVZCvjqeX7eWvtCQAevq4pbw/shIuTxeBkIiIiIvJzKsaIiIiIiFyGmCYBvPVgR0wmWLDtPO+vP210pDpvf1wWQ2ZuI7vQRucGviwYE423qwoxdUnLUC9WTuzJoOgIHA549/tTDJyxjXNp+UZHqxKJ2YU8+MFWPt0Tj9kEf7unHX++tRVms8noaCIiIiLyH1SMERERERG5TLd3qMdzt7cB4LVvjvPJ7osGJ6q79sVlMXTWvxcpnzc6Gi8VYuokN2cLr9zXgXcGdcLLxYld5zO5ZeoGZm48U6tbCm4/k86d72xm/8VsfN2tLBgTw9BuDY2OJSIiIiK/QsUYEREREZErMLpnY8b3bgLAnz45wIYTqQYnqnv2Xshk2Mzt5BaV0rWRCjFS7s7IML56vBc9mgVQZLPzty+PMmD6Fk6l5Bkd7Zoqszt4e91JBn24jbS8YlqFerFqYk96NAs0OpqIiIiI/AYVY0RERERErtCfb2nFXZFhlNodPLJwNwcvZhsdqc7YfT6DYbN2kFtcSnQjf+aOisbTRYuUS7kIf3cWjonhlfva4+nixJ4LWdz29kbe++FUrVhLJjG7kGGztvPmmhPYHdC/czifPtqdCH93o6OJiIiIyP+gYoyIiIiIyBUym028PqAD3ZsGkF9SxvDZ2zmRnGt0rFpv6+l0hs3aQV5xKTGN/ZkzqiseKsTIfzCZTAyKbsDqJ3tzfcsgSkrtvPbNce58dzM7zmYYHe+qOBwOPtoZR983N7DldDruzhbefCCSNx6IxN1ZvwMiIiIiNYGKMSIiIiIiV8HFycIHw6KIDPchs8DG0JnbOZ9eNxYNN8KGE6mMnLODgpIyejYLZO6oaBVi5DeF+boxZ2RX3hgQiY+blaOJOTzwwVYeW7KXhKxCo+NdtnNp+YyYs5OnPzlAbnEpnRr48sWkntzXOdzoaCIiIiJyBVSMERERERG5Sl6uVuaOiqZliBcpucUM/nA7idk15yJvTbH2SDJj5+2iuNTOja2CmTmiC27OFqNjSQ1gMpnoHxXO93+4nsExDTCZYOX+BK7/1w/87YsjZOSXGB3xVxWUlPL6t8fo+9YGNpxIxdnJzF9ua8XHD3enSZCn0fFERERE5AqpGCMiIiIi8jv4eTizYGw0jQM9iM8qZMjM7aTlFRsdq9b46mAiDy/cTUmZnVvahjJ9aBSuVhVi5Mr4ezjzj3vbs2piT2Ia+1NSamfmprP0fu17XvvmWLX6nS0ptbNg23lu+NcPTPv+NCVldno1D+Trx3sxvndTLGaT0RFFRERE5CqoGCMiIiIi8jsFe7mycGwMYT6unEnNZ9isHWQX2IyOVeOt2BvPxMV7KLU7uCsyjHcHd8LZSacwcvXa1fdh6fhuzBsdTdswb/KKS3nvh9P0ePU7nv/8EKdS8gzLVlhSxuLtF7jxjR94bsUhknOKCfdz44NhUcwfHU1TzYYRERERqdHUZFlERERE5Bqo7+vGonHdGDB9K0cTcxgxZwfzx0Tj7Wo1OlqNNG/LOV5cdRiHAwZEhfNq/w6aESDXhMlk4roWQfRqFsiao8m898Np9sdlMX/reeZvPU9skwAGxzSgT+uQKmmHF5dRwJIdF1i84wJZPxZxg7xcmHRjMx7sGoGLk2aCiYiIiNQGKsaIiIiIiFwjjQM9WDg2moEztrEvLoshH25n/uho/DycjY5WYzgcDt5YfYJ3vz8FwPDYhrx4Z1vMKsTINWY2m+jXNpS+bULYcjqdOZvP8d2xZLaeSWfrmXTcnS30aR3Cre1C6d4sEB+3a1dYTcgqZMOpeFbsS2D3+cyKx8P93BjVozGDoxtoXSQRERGRWkbFGBERERGRa6hVqDeLxsYwbNYODsZnM+jDbSwcG0Ogp4vR0aq90jI7//fZIZbtigPgqZtbMPHGZphMKsRI5TGZTPRoFkiPZoHEZxWydMcFPtsbz8XMQlbuT2Dl/gTMJugY4UvXRv60q+9Du/o+RPi54WT5323zSsvsnE7N51B8NvsuZLD6gIXkrRsrnjeboEezQIZ2a0if1iGaASYiIiJSS6kYIyIiIiJyjbUN82HZ+G4MnrmdY0m5PPjBVhaN7Uaoj6vR0aqtIlsZk5bsZc2RZMwm+Pu97RkU3cDoWFLH1Pd146m+LZl8cwv2xWXxxYFE1p9I5VRKHnsuZLHnQlbFthaziXo+roT5uOHp6oS7swWrxUxJqZ0iWxmZBSUkZheRkltMmd3xs59iqiju3Na+HndFhhHsrbFBREREpLZTMUZEREREpBI0D/Hio4diGfLhNk6n5vPgjK0sGhtDuJ+70dGqnexCG+Pm7WLHuQycncy8PbATt7QLNTqW1GEmk4lODfzo1MCP5yhvK7bpVBoHLmZxMD6Ho4k5lJTauZhZyMXMwv/5/TxdnGgT5k3rUE8s6WeZcH8fArw1FoiIiIjUJZVWjGnUqBHnz5+/5LFXXnmFP//5zxWfHzhwgAkTJrBz506CgoKYNGkSTz/99CVfs3z5cp577jnOnTtH8+bN+ec//8ltt91W8bzD4eCFF17gww8/JCsrix49evD+++/TvHnzim0yMjKYNGkSq1atwmw2079/f6ZOnYqnp2clvXoRERERkfI1ZJY9FMvgmds4n17Agx9sY9HYGBoFehgdrdo4m5bP2Hk7OZ2aj5erEzOHdyGmSYDRsUQuEebrxgNdInigSwQAdruD1LxiLmYWkJhdREFxGfklpdjK7Lg4WXBxMuPtZi2fOePrRpCnC2azCZvNxldfncH7Gq4/IyIiIiI1Q6XOjPnrX//KuHHjKj738vKq+DgnJ4e+ffvSp08fpk+fzsGDBxk9ejS+vr6MHz8egC1btjBo0CBeeeUV7rjjDhYvXsw999zDnj17aNeuHQCvvfYab7/9NvPmzaNx48Y899xz9OvXjyNHjuDqWj7Ve8iQISQmJrJmzRpsNhujRo1i/PjxLF68uDJfvoiIiIgIEf7uLH+oO4NnbuNMaj73T9/C7JFd6RDua3Q0w20+lcaji/aQXWgj1NuV2SO70ibM2+hYIv+T2WwixNuVELUXExEREZHL9L9XG/wdvLy8CA0Nrfjn4fHvOwAXLVpESUkJs2fPpm3btgwcOJDHHnuMN998s2KbqVOncsstt/DHP/6R1q1b8/LLL9O5c2feffddoHxWzJQpU3j22We5++676dChA/PnzychIYEVK1YAcPToUb755htmzpxJTEwMPXv25J133mHp0qUkJCRU5ssXEREREQEg1MeVZeNjaVPPm7S8EgbO2Mb3x1KMjmWo+VvPMXz2DrILbXSM8GXlxB4qxIiIiIiISK1VqTNjXn31VV5++WUaNGjA4MGDefLJJ3FyKv+RW7dupXfv3jg7O1ds369fP/75z3+SmZmJn58fW7duZfLkyZd8z379+lUUWs6ePUtSUhJ9+vSpeN7Hx4eYmBi2bt3KwIED2bp1K76+vnTp0qVimz59+mA2m9m+fTv33nvvL2YvLi6muLi44vOcnBwAbDYbNpvt970xtcxP74feFxED2GxYKz60QS39PdQ4U8PVkf1UaraqGGd8Xc0sGtOFSUv3s+lUOmPn7+L521sxODqi0n5mdWQrs/Pyl8dYsvMiAPdE1uNvd7fBxWrROC+1no5pRKSy1fpxRucWIoar9ePMFbqS96HSijGPPfYYnTt3xt/fny1btvDMM8+QmJhYMfMlKSmJxo0bX/I1ISEhFc/5+fmRlJRU8djPt0lKSqrY7udf92vbBAcHX/K8k5MT/v7+Fdv8kldeeYWXXnrpvx5fvXo17u5aaPGXrFmzxugIInWOpaiIO378+Ntvv6XMtXa3ytA4UzPVtf1UaraqGGfuC4CSbDM7Us28sOooa3Yc5r5GdiyVOme9esizwdwTZk7mmDHh4M4Gdq53i2Pdmjijo4lUKR3TiEhlq63jjM4tRKqP2jrOXKmCgoLL3vaKijF//vOf+ec///mb2xw9epRWrVpdMqOlQ4cOODs789BDD/HKK6/g4uJyJT/WEM8888wlryEnJ4eIiAj69u2Lt7faJ/yczWZjzZo13HzzzVitWohSpErl51d82K9fP/ConQtCa5yp4erIfio1W1WPM3c4HHyw4SxvrjvFpmQzNvcApj4YSYCH8//+4hpqx7kM/vHRQZJzi/FwtvDmAx24sWWQ0bFEqpSOaUSkstX6cUbnFiKGq/XjzBX6qaPW5biiYsxTTz3FyJEjf3ObJk2a/OLjMTExlJaWcu7cOVq2bEloaCjJycmXbPPT56GhoRX//aVtfv78T4/Vq1fvkm06duxYsU1KyqX9uEtLS8nIyKj4+l/i4uLyi0Ujq9WqnexX6L0RMcDPfuesVusln9dGGmdqqDq2n0rNVpXjzKQ+LWkV5ssTS/ey/Wwm97y3jXcHd6JLI/8q+flVpczuYPr607yx+jh2BzQN8uD9oVG0CPEyOpqIYXRMIyKVrdaOMzq3EKk2au04c4Wu5D24omYIQUFBtGrV6jf//XwNmJ/bt28fZrO5omVYbGwsGzZsuKSn2po1a2jZsiV+fn4V26xbt+6S77NmzRpiY2MBaNy4MaGhoZdsk5OTw/bt2yu2iY2NJSsri927d1ds891332G324mJibmSly8iIiIick3d3CaEzyb0oEmQB0k5RTw4YxsfrD+N3e4wOto1EZdRwKAZ23j92/JCzH2d6rNyYk8VYkREREREpM6plM7UW7duZcqUKezfv58zZ86waNEinnzySYYOHVpRaBk8eDDOzs6MGTOGw4cPs2zZMqZOnXpJa7DHH3+cb775hjfeeINjx47x4osvsmvXLiZOnAiAyWTiiSee4G9/+xsrV67k4MGDDB8+nLCwMO655x4AWrduzS233MK4cePYsWMHmzdvZuLEiQwcOJCwsLDKePkiIiIiIpetRYgXKyf25O6OYZTZHbzy9TGGzd5OQlah0dGumsPh4KNdcdw6dSM7zmXg4Wzhtf4deOOBSDxcKm3ZShERERERkWqrUs6EXFxcWLp0KS+++CLFxcU0btyYJ5988pJCi4+PD6tXr2bChAlERUURGBjI888/z/jx4yu26d69O4sXL+bZZ5/lL3/5C82bN2fFihW0a9euYpunn36a/Px8xo8fT1ZWFj179uSbb77B9WcLeC1atIiJEydy0003YTab6d+/P2+//XZlvHQRERERkSvm6eLElAc7EtM4gJe/OMLmU+n0m7KBF+5sS//O9TGZTEZHvGzn0vL5y2cH2XI6HYAuDf1484GONAhwNziZiIiIiIiIcSqlGNO5c2e2bdv2P7fr0KEDGzdu/M1tBgwYwIABA371eZPJxF//+lf++te//uo2/v7+LF68+H/mERERERExislkYnBMA2KbBjD5o33svZDFH5bv59M9F3n5nnY0DfI0OuJvKrKV8eGGM7z7/SmKS+24OJl58uYWjOvVBIu55hSTREREREREKoN6BIiIiIiIVCONAz1Y/lAsMzaeYerak2w5nc6tUzYyrndjHr6uKV6u1WuRTIfDwRcHEnn162PE/9harUezAP5xb3saBngYnE5ERERERKR6UDFGRERERKSacbKYefT6ZtzRPoznPj/E+hOpTPv+NEt2xPHYjc0YHNMQZ6dKWf7xsjkcDr47lsKUtSc5GJ8NQD0fV/58ayvuigyrUa3VREREREREKpuKMSIiIiIi1VSDAHfmjurK6iPJ/PObY5xJzefFVUf4YMMZxvRszMDoBni6VO0hva3MzteHkvhww5mKIoy7s4WHr2vKuF5NcHO2VGkeERERERGRmkDFGBERERGRasxkMtGvbSg3tQpm2a44pq49SWJ2EX/78ihvrztJ/6hwHugSQet63pWaIy6jgM/2xrNo+3mSc4oBcLNaGN69IeN7NSHA06VSf76IiIiIiEhNpmKMiIiIiEgN4GQxMySmIfdHhfPZnnhmbDjDmbR85mw+x5zN52hX35tb29WjT+sQWoR4/u42YQ6Hg7Np+aw/kcoXBxLZfT6z4rlATxeGxDRgeGxDFWFEREREREQug4oxIiIiIiI1iIuThYHRDRjQJYINJ1L5aFcca48mcyg+h0PxObz+7XHCfFzp3NCPTg38aBfmTcMAD4K9XDCbf7lAY7c7SM8v4Vx6PofiszkUn8O2M+nEZxVWbGMyQWyTAAZ0Cef29mGGr1kjIiIiIiJSk6gYIyIiIiJSA1nMJm5oFcwNrYJJzyvm28PJrD2azKZTaSRkF5FwIJEvDiRWbO/iZCbAwxlPVyfcnZ2wOxwU2+zkl5SSklNMSZn9v36G1WKiS0N/bmodzB0dwgj1ca3KlygiIiIiIlJrqBgjIiIiIlLDBXi6MDimAYNjGlBQUsreC1nsvZDJngtZnErJIz6rkOJSOwnZRZD9y9/DZIJ63q60CfOhbZg3HSN8iWnij7uzThlERERERER+L51ZiYiIiIjUIu7OTvRoFkiPZoEVj9nK7CRmFZFZUEJ+cSl5xaU4WUy4OFlwtZoJ8XYlxNsVq0Wtx0RERERERCqDijEiIiIiIrWc1WKmQYA7DQLcjY4iIiIiIiJSJ+nWNxERERERERERERERkUqkYoyIiIiIiIiIiIiIiEglUjFGRERERERERERERESkEmnNmMvkcDgAyMnJMThJ9WOz2SgoKCAnJwer1Wp0HJG6JT//3x/n5EBZmXFZKpHGmRqujuynUrNpnBGRqqCxRkQqW60fZ3RuIWK4Wj/OXKGf6gU/1Q9+i8lxOVsJFy9eJCIiwugYIiIiIiIiIiIiIiJSjcTFxREeHv6b26gYc5nsdjsJCQl4eXlhMpmMjlOt5OTkEBERQVxcHN7e3kbHEZFaSOOMiFQ2jTMiUhU01ohIZdM4IyKVTePMpRwOB7m5uYSFhWE2//aqMGpTdpnMZvP/rGzVdd7e3voFFJFKpXFGRCqbxhkRqQoaa0SksmmcEZHKpnHm33x8fC5ru98u1YiIiIiIiIiIiIiIiMjvomKMiIiIiIiIiIiIiIhIJVIxRn43FxcXXnjhBVxcXIyOIiK1lMYZEalsGmdEpCporBGRyqZxRkQqm8aZq2dyOBwOo0OIiIiIiIiIiIiIiIjUVpoZIyIiIiIiIiIiIiIiUolUjBEREREREREREREREalEKsaIiIiIiIiIiIiIiIhUIhVjREREREREREREREREKpGKMSIiIiIiIiIiIiIiIpVIxRj5XaZNm0ajRo1wdXUlJiaGHTt2GB1JRGqIDRs2cOeddxIWFobJZGLFihWXPO9wOHj++eepV68ebm5u9OnTh5MnT16yTUZGBkOGDMHb2xtfX1/GjBlDXl5eFb4KEanOXnnlFbp27YqXlxfBwcHcc889HD9+/JJtioqKmDBhAgEBAXh6etK/f3+Sk5Mv2ebChQvcfvvtuLu7ExwczB//+EdKS0ur8qWISDX2/vvv06FDB7y9vfH29iY2Npavv/664nmNMyJyrb366quYTCaeeOKJisc01ojI7/Hiiy9iMpku+deqVauK5zXGXBsqxshVW7ZsGZMnT+aFF15gz549REZG0q9fP1JSUoyOJiI1QH5+PpGRkUybNu0Xn3/ttdd4++23mT59Otu3b8fDw4N+/fpRVFRUsc2QIUM4fPgwa9as4YsvvmDDhg2MHz++ql6CiFRz69evZ8KECWzbto01a9Zgs9n4//buJSTK9o3j+C+dxizz1MHJRDGyg5VCijZEBCmVRHTYmEhIRZvG0A6bIJMgKGrTYVFBUG1KMpAoihK1gcjEJgTtIBlFkY5SoZmUmnP/Fy8+MO8b/0WOjsr3AwPz3NfNcN0LfzxwOc+sX79efX191p4DBw7o7t27qqyslNvtVnt7u7Zv327Vh4aGtGnTJg0MDOjp06e6fv26rl27pmPHjgXjSADGoYSEBJ06dUoej0fPnz/XunXrtGXLFr18+VISOQMgsBobG3X58mWlpaX5rZM1AEZq2bJl6ujosF5PnjyxamRMgBjgL2VlZRmXy2VdDw0Nmfj4eHPy5MkgdgVgIpJkqqqqrGufz2ccDoc5c+aMtdbd3W3CwsLMzZs3jTHGvHr1ykgyjY2N1p4HDx6YKVOmmM+fP49Z7wAmjq6uLiPJuN1uY8w/uTJ16lRTWVlp7Xn9+rWRZOrr640xxty/f9+EhIQYr9dr7bl48aKJjIw0/f39Y3sAABNGTEyMuXLlCjkDIKB6e3tNSkqKqa6uNmvXrjUlJSXGGO5pAIxceXm5SU9P/2ONjAkcvhmDvzIwMCCPx6Pc3FxrLSQkRLm5uaqvrw9iZwAmg/fv38vr9fplTFRUlLKzs62Mqa+vV3R0tDIzM609ubm5CgkJUUNDw5j3DGD86+npkSTFxsZKkjwejwYHB/2yZsmSJUpMTPTLmhUrViguLs7as2HDBn3//t36r3cAGDY0NKSKigr19fXJ6XSSMwACyuVyadOmTX6ZInFPAyAw3r59q/j4eC1YsECFhYX6+PGjJDImkGzBbgAT05cvXzQ0NOT3ByZJcXFxevPmTZC6AjBZeL1eSfpjxgzXvF6v5s6d61e32WyKjY219gDAMJ/Pp9LSUq1evVrLly+X9E+O2O12RUdH++39d9b8KYuGawAgSc3NzXI6nfr165ciIiJUVVWl1NRUNTU1kTMAAqKiokIvXrxQY2Pjf2rc0wAYqezsbF27dk2LFy9WR0eHjh8/rjVr1qilpYWMCSCGMQAAAJj0XC6XWlpa/J57DACBsnjxYjU1Namnp0e3b99WUVGR3G53sNsCMEl8+vRJJSUlqq6u1rRp04LdDoBJKC8vz3qflpam7OxsJSUl6datWwoPDw9iZ5MLjynDX5k9e7ZCQ0PV2dnpt97Z2SmHwxGkrgBMFsM58v8yxuFwqKury6/++/dvffv2jRwC4Ke4uFj37t1TXV2dEhISrHWHw6GBgQF1d3f77f931vwpi4ZrACBJdrtdCxcuVEZGhk6ePKn09HSdO3eOnAEQEB6PR11dXVq5cqVsNptsNpvcbrfOnz8vm82muLg4sgZAQEVHR2vRokVqa2vjfiaAGMbgr9jtdmVkZKimpsZa8/l8qqmpkdPpDGJnACaD5ORkORwOv4z5/v27GhoarIxxOp3q7u6Wx+Ox9tTW1srn8yk7O3vMewYw/hhjVFxcrKqqKtXW1io5OdmvnpGRoalTp/plTWtrqz5+/OiXNc3NzX7D3+rqakVGRio1NXVsDgJgwvH5fOrv7ydnAARETk6Ompub1dTUZL0yMzNVWFhovSdrAATSjx8/9O7dO82bN4/7mQDiMWX4awcPHlRRUZEyMzOVlZWls2fPqq+vT7t27Qp2awAmgB8/fqitrc26fv/+vZqamhQbG6vExESVlpbqxIkTSklJUXJyssrKyhQfH6+tW7dKkpYuXaqNGzdq7969unTpkgYHB1VcXKwdO3YoPj4+SKcCMJ64XC7duHFDd+7c0cyZM61nFUdFRSk8PFxRUVHas2ePDh48qNjYWEVGRmr//v1yOp1atWqVJGn9+vVKTU3Vzp07dfr0aXm9Xh09elQul0thYWHBPB6AceLIkSPKy8tTYmKient7dePGDT1+/FgPHz4kZwAExMyZM63fvBs2Y8YMzZo1y1onawCMxOHDh7V582YlJSWpvb1d5eXlCg0NVUFBAfczgWSAEbhw4YJJTEw0drvdZGVlmWfPngW7JQATRF1dnZH0n1dRUZExxhifz2fKyspMXFycCQsLMzk5Oaa1tdXvM75+/WoKCgpMRESEiYyMNLt27TK9vb1BOA2A8ehPGSPJXL161drz8+dPs2/fPhMTE2OmT59utm3bZjo6Ovw+58OHDyYvL8+Eh4eb2bNnm0OHDpnBwcExPg2A8Wr37t0mKSnJ2O12M2fOHJOTk2MePXpk1ckZAKN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}, "metadata": {} } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Define your data1, data2, and data variables here\n", "\n", "y1 = 80\n", "y2 = 140\n", "y3 = 420\n", "\n", "# Plot 1\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data1[:500])\n", "plt.axvline(y1, color='r')\n", "plt.axvline(y2, color='r')\n", "plt.axvline(y3, color='r')\n", "plt.grid(True) # Add a grid\n", "\n", "# Plot 2\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data2[:500])\n", "plt.axvline(y1, color='r')\n", "plt.axvline(y2, color='r')\n", "plt.axvline(y3, color='r')\n", "plt.grid(True) # Add a grid\n", "\n", "# Plot 3\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data1[:500] + data2[:500])\n", "plt.axvline(y1, color='r')\n", "plt.axvline(y2, color='r')\n", "plt.axvline(y3, color='r')\n", "plt.grid(True) # Add a grid\n", "\n", "# Plot 4\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data[:500])\n", "plt.axvline(y1, color='r')\n", "plt.axvline(y2, color='r')\n", "plt.axvline(y3, color='r')\n", "plt.grid(True) # Add a grid\n", "\n", "plt.show() # Display all plots\n" ] }, { "cell_type": "markdown", "id": "386d290f-9f2b-4a94-a31e-a7d9da371bd3", "metadata": { "id": "386d290f-9f2b-4a94-a31e-a7d9da371bd3" }, "source": [ "## Using Fourier to separate signals" ] }, { "cell_type": "code", "execution_count": 16, "id": "46d971ce-29f8-4a92-95f0-976ff33227bf", "metadata": { "id": "46d971ce-29f8-4a92-95f0-976ff33227bf", "outputId": "2bf91f7f-4ee4-42d6-f242-14384697d987", "colab": { "base_uri": "https://localhost:8080/", "height": 430 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "# Import necessary libraries\n", "from scipy.fft import fft, fftfreq\n", "import matplotlib.pyplot as plt\n", "\n", "# Number of sample points\n", "N = 1600\n", "\n", "# Sampling period (inverse of the sampling frequency)\n", "T = 1/1600\n", "\n", "# Calculate the FFT of the signal 'data'\n", "yf = fft(data)\n", "\n", "# Generate the frequency axis for plotting\n", "## The [:N//2] part is used to select only the positive frequencies\n", "## (since the FFT result is symmetric, and the negative frequencies\n", "## are just mirror images of the positive ones).\n", "\n", "xf = fftfreq(N, T)[:N//2]\n", "\n", "# Create a plot of the magnitude spectrum\n", "plt.plot(xf, 2.0/N * np.abs(yf[0:N//2]))\n", "\n", "# Add grid lines to the plot\n", "plt.grid()\n", "\n", "# Display the plot\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f0905f91-6344-4411-9fe5-60119a770f6f", "metadata": { "id": "f0905f91-6344-4411-9fe5-60119a770f6f" }, "source": [ "### More example" ] }, { "cell_type": "code", "execution_count": 17, "id": "aa1b8ebb-e797-4f61-afd2-cb3f432dae5f", "metadata": { "id": "aa1b8ebb-e797-4f61-afd2-cb3f432dae5f", "outputId": "cf5d9717-765f-4ddb-e49d-4711cd55781f", "colab": { "base_uri": "https://localhost:8080/", "height": 430 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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P1+OPP65Ro0a1uX5TU5Oampoij4PBoCQpFAopFApdyZSjXBorkWPG68KFC3/6vbk54XNJhYzJ5PR8kvMzki/9OT2j0/NJycsY63ge08kTFcLhsG6//XadOnVKu3btanO9qqoqffzxxyosLFRDQ4Oeeuop7dy5U4cPH9bAgQNbfc3KlStVWlraYnl5eblyc3M7M92U9eU56bEDFzvhgu8065a+HLcBADhDY2OjFi5cqIaGBvl8vjbX63QZuf/++/XWW29p165dbZaK1oRCIY0YMUILFizQqlWrWl2ntT0jBQUFOnnyZLth4hUKhRQIBDRjxgxlZWUlbNx4fPp1o37w9MUy93jRKM2fMCCh46dCxmRyej7J+RnJl/6cntHp+aTkZQwGg+rTp0+HZaRTh2mWLVumN998Uzt37oyriEhSVlaWxo0bp6NHj7a5jtfrldfrbfW1yfggJGvcWHTJzLrs98ykzcNmxqvB6fkk52ckX/pzekan55MSnzHWseK6msYYo2XLlmnz5s3avn27hgwZEvfEmpubdfDgQfXr1y/u1zqd4bZnAAAXimvPyNKlS1VeXq433nhD3bt3V11dnSSpR48e6tq1qyRp0aJFGjBggMrKyiRJjz32mG655RYNHTpUp06d0pNPPqnjx4/r3nvvTXCU9EQBAQC4XVxlZN26dZKkqVOnRi1/5ZVX9MMf/lCSVFNTo4yMP+1w+frrr7VkyRLV1dWpV69emjBhgnbv3q2RI0de2cwBAIAjxFVGYjnXtbKyMurxmjVrtGbNmrgm5VbcAA0A4EZ8N41lFBAAgNtRRlIIvQQA4EaUEcsoIAAAt6OMpBAO2QAA3IgyYlknb4ALAIBjUEYAAIBVlJEUwg3QAABuRBmxjPoBAHA7ykgK4fQRAIAbUUYso4AAANyOMpJC6CUAADeijFhHBQEAuBtlBAAAWEUZSSWcQAIAcCHKiGX0DwCA21FGUgi9BADgRpQRyyggAAC3o4ykEA7ZAADciDJiGQUEAOB2lJEUYmgmAAAXoowAAACrKCOWGU5hBQC4HGUkhVBLAABuRBmxjNNEAABuRxlJIRQTAIAbUUYso4AAANyOMpJC6CUAADeijFjG1TQAALejjAAAAKsoIymEO7ACANyIMmIZ/QMA4HZxlZGysjLddNNN6t69u/r27auioiIdOXKkw9dt2rRJw4cPV05OjsaMGaMtW7Z0esIAAMBZ4iojO3bs0NKlS7Vnzx4FAgGFQiHNnDlTZ8+ebfM1u3fv1oIFC3TPPffowIEDKioqUlFRkQ4dOnTFkwcAAOmvSzwrv/3221GPN2zYoL59+2r//v269dZbW33N2rVrNXv2bK1YsUKStGrVKgUCAT377LN64YUXOjltZ+KQDQDAjeIqI9/W0NAgSerdu3eb61RVVam4uDhq2axZs1RRUdHma5qamtTU1BR5HAwGJUmhUEihUOgKZhzt0liJHDP+OVyI/N4cbk74XFIhYzI5PZ/k/IzkS39Oz+j0fFLyMsY6nsd08hKOcDis22+/XadOndKuXbvaXC87O1uvvvqqFixYEFn2/PPPq7S0VPX19a2+ZuXKlSotLW2xvLy8XLm5uZ2Zbsr69Iz01MGLnfCOwc36QX92jwAAnKGxsVELFy5UQ0ODfD5fm+t1es/I0qVLdejQoXaLSGeVlJRE7U0JBoMqKCjQzJkz2w0Tr1AopEAgoBkzZigrKyth48bj0GdBPXVwjyRp+PARmvt/rkvo+KmQMZmcnk9yfkbypT+nZ3R6Pil5GS8d2ehIp8rIsmXL9Oabb2rnzp0aOHBgu+vm5+e32ANSX1+v/Pz8Nl/j9Xrl9XpbLM/KykrKByFZ48Yis0vmn37PzEjaPGxmvBqcnk9yfkbypT+nZ3R6PinxGWMdK66raYwxWrZsmTZv3qzt27dryJAhHb7G7/dr27ZtUcsCgYD8fn88b+0KnMAKAHCjuPaMLF26VOXl5XrjjTfUvXt31dXVSZJ69Oihrl27SpIWLVqkAQMGqKysTJK0fPlyTZkyRatXr9a8efO0ceNG7du3T+vXr09wlPREAQEAuF1ce0bWrVunhoYGTZ06Vf369Yv8vPbaa5F1ampqVFtbG3k8efJklZeXa/369Ro7dqxef/11VVRUaPTo0YlL4RD0EgCAG8W1ZySWC28qKytbLJs/f77mz58fz1u5BgUEAOB2fDcNAACwijKSQjh/BADgRpQRyzp5zzkAAByDMpJCDGeQAABciDJiGfUDAOB2lJEUwhEbAIAbUUYso4AAANyOMgIAAKyijAAAAKsoI9ZxnAYA4G6UkRTCPUcAAG5EGbGM/gEAcDvKSAqhmAAA3IgyYhn9AwDgdpSRFEIxAQC4EWUEAABYRRmxjPNEAABuRxlJIRQTAIAbUUYs494iAAC3o4ykEMMprAAAF6KMWEb9AAC4HWUkhXDEBgDgRpQRAABgFWXEMvaGAADcjjKSQuglAAA3ooxYxhU0AAC3o4ykEo7ZAABciDJiG/0DAOBylJEUQi8BALgRZQQAAFhFGbGMvSEAALeLu4zs3LlTt912m/r37y+Px6OKiop216+srJTH42nxU1dX19k5OxbnrwIA3CjuMnL27FmNHTtWzz33XFyvO3LkiGprayM/ffv2jfetHYkCAgBwuy7xvmDOnDmaM2dO3G/Ut29f9ezZM+7XuQn3HAEAuFHcZaSzbrzxRjU1NWn06NFauXKlvve977W5blNTk5qamiKPg8GgJCkUCikUCiVsTpfGSuSYcc/hwoXI7+HmcMLnkgoZk8np+STnZyRf+nN6Rqfnk5KXMdbxPMZ0/kCBx+PR5s2bVVRU1OY6R44cUWVlpSZOnKimpia99NJL+sUvfqH33ntP48ePb/U1K1euVGlpaYvl5eXlys3N7ex0U9JHpzxa97+ZkqTpA8K6bVDY8owAAEiMxsZGLVy4UA0NDfL5fG2ul/Qy0popU6Zo0KBB+sUvftHq863tGSkoKNDJkyfbDROvUCikQCCgGTNmKCsrK2HjxmPX0S9196v7JUn33TpED84YltDxUyFjMjk9n+T8jORLf07P6PR8UvIyBoNB9enTp8MyctUO01zu5ptv1q5du9p83uv1yuv1tlielZWVlA9CssaNRWZmZuT3jIyMpM3DZsarwen5JOdnJF/6c3pGp+eTEp8x1rGs3Gekurpa/fr1s/HWKY3TVwEAbhT3npEzZ87o6NGjkcfHjh1TdXW1evfurUGDBqmkpESfffaZ/u3f/k2S9Mwzz2jIkCEaNWqUzp07p5deeknbt2/X1q1bE5cijVFAAABuF3cZ2bdvn77//e9HHhcXF0uSFi9erA0bNqi2tlY1NTWR58+fP68HH3xQn332mXJzc1VYWKjf/OY3UWPgIu45AgBwo7jLyNSpU9XeOa8bNmyIevzQQw/poYceintibnEF5w8DAOAIfDdNCuGmZwAAN6KMAAAAqygjlpk2HwAA4A6UEQAAYBVlxDb2hgAAXI4ykkLoJQAAN6KMWMYVNAAAt6OMpBDuOQIAcCPKCAAAsIoyYtnlO0PYMQIAcCPKCAAAsIoyYhl7QwAAbkcZSSH0EgCAG1FGLKOAAADcjjKSQjhkAwBwI8oIAACwijJi2eU3OuNurAAAN6KMAAAAqygjlrEvBADgdpSRFMIJrAAAN6KMWEYBAQC4HWUEAABYRRkBAABWUUasu+zSXo7ZAABciDICAACsooxYxs4QAIDbUUZSCL0EAOBGlBHLKCAAALejjKQQDtkAANyIMgIAAKyijFh2+d4QvrUXAOBGcZeRnTt36rbbblP//v3l8XhUUVHR4WsqKys1fvx4eb1eDR06VBs2bOjEVAEAgBPFXUbOnj2rsWPH6rnnnotp/WPHjmnevHn6/ve/r+rqaj3wwAO699579c4778Q9WScyUTc9szgRAAAs6RLvC+bMmaM5c+bEvP4LL7ygIUOGaPXq1ZKkESNGaNeuXVqzZo1mzZoV79sDAACHibuMxKuqqkrTp0+PWjZr1iw98MADbb6mqalJTU1NkcfBYFCSFAqFFAqFEja3S2Mlcsx4XbjQHPk9HA4ndC7nL4T16u5jymi0mzGZUmEbJpvTM5Iv/Tk9o9PzScnLGOt4SS8jdXV1ysvLi1qWl5enYDCob775Rl27dm3xmrKyMpWWlrZYvnXrVuXm5iZ8joFAIOFjxurASY+kTEnS8Zoabdnyh4SNHfjMozdrMiV1Ub9cexmvBpvb8GpxekbypT+nZ3R6PinxGRsbG2NaL+llpDNKSkpUXFwceRwMBlVQUKCZM2fK5/Ml7H1CoZACgYBmzJihrKyshI0bD3OwTq9+/KEkadCgQZo7d2TCxn6zvFrSCUmymjGZUmEbJpvTM5Iv/Tk9o9PzScnLeOnIRkeSXkby8/NVX18ftay+vl4+n6/VvSKS5PV65fV6WyzPyspKygchWePGIiMzM/K7x5OR0Hl4PJ7I7zYzXg1Ozyc5PyP50p/TMzo9n5T4jLGOlfT7jPj9fm3bti1qWSAQkN/vT/ZbAwCANBB3GTlz5oyqq6tVXV0t6eKlu9XV1aqpqZF08RDLokWLIuvfd999+v3vf6+HHnpIH330kZ5//nn98pe/1N/93d8lJkGaM1HX83JtLwDAfeIuI/v27dO4ceM0btw4SVJxcbHGjRunRx55RJJUW1sbKSaSNGTIEP36179WIBDQ2LFjtXr1ar300ktc1gsAACR14pyRqVOnfuv/5qO1dnfVqVOn6sCBA/G+FQAAcAG+myaFcAdWAIAbUUYAAIBVlBHLor61lz0jAAAXoowAAACrKCOWRX1rL5f2AgBciDICAACsooxYxnkiAAC3o4ykkEQXE3oOACAdUEYsY88IAMDtKCMpJNG9xNPxKgAAWEcZAQAAVlFGLIv6zl4O2QAAXIgyAgAArKKMWNbeNyADAOAGlJEUkug7sFJzAADpgDJiGYUBAOB2lJFUkuBmwqW9AIB0QBkBAABWUUZsM63+CgCAa1BGAACAVZQRyy6/gobLfAEAbkQZcTCqDQAgHVBGLGNnCADA7SgjKYRv7QUAuBFlBAAAWEUZsSyZ39rLESAAQDqgjAAAAKsoI5aZJN70jHNGAADpgDLiYBymAQCkA8qIZYbKAABwOcpICkn0HVg5TAMASAedKiPPPfecrrvuOuXk5GjSpEl6//3321x3w4YN8ng8UT85OTmdnjAAAHCWuMvIa6+9puLiYj366KP64IMPNHbsWM2aNUsnTpxo8zU+n0+1tbWRn+PHj1/RpJ0kmSewRl82zOEgAEBqiruMPP3001qyZInuvvtujRw5Ui+88IJyc3P18ssvt/kaj8ej/Pz8yE9eXt4VTRrxC9NFAAApqks8K58/f1779+9XSUlJZFlGRoamT5+uqqqqNl935swZDR48WOFwWOPHj9fjjz+uUaNGtbl+U1OTmpqaIo+DwaAkKRQKKRQKxTPldl0aK5FjxutCc3Pk93BzOLFzuWxvyPnQeWVmOO8sklTYhsmWbhlDzWH9Yk+Nvveda3RDfveO10+zfPFyej7J+Rmdnk9KXsZYx/OYOPbff/755xowYIB2794tv98fWf7QQw9px44deu+991q8pqqqSh9//LEKCwvV0NCgp556Sjt37tThw4c1cODAVt9n5cqVKi0tbbG8vLxcubm5sU43Leyq82jTsUxJ0o3XhHX3d8MJG/uljzJ08OuLO79WT7qgLpyujKvg3c89qjh+8TO91n/B8mwA2NTY2KiFCxeqoaFBPp+vzfXi2jPSGX6/P6q4TJ48WSNGjNCLL76oVatWtfqakpISFRcXRx4Hg0EVFBRo5syZ7YaJVygUUiAQ0IwZM5SVlZWwcePx9Xs12nTsI0lSv/x+mjt3bMLG/v+/PqCDX38hSfrBtB+oW1fnnTicCtsw2dIt49ZffiipTpI0d+7cDtdPt3zxcno+yfkZnZ5PSl7GS0c2OhJXGenTp48yMzNVX18ftby+vl75+fkxjZGVlaVx48bp6NGjba7j9Xrl9XpbfW0yPgjJGjcWmZmZkd89GZ6EzsOT8addIZmZ9jJeDTa34dWSLhkzLvvcxTPfdMnXWU7PJzk/o9PzSYnPGOtYce24z87O1oQJE7Rt27bIsnA4rG3btkXt/WhPc3OzDh48qH79+sXz1uiEy88Q4eZqAIBUFfdhmuLiYi1evFgTJ07UzTffrGeeeUZnz57V3XffLUlatGiRBgwYoLKyMknSY489pltuuUVDhw7VqVOn9OSTT+r48eO69957E5skTV2tb+3lahoAQKqKu4zceeed+uKLL/TII4+orq5ON954o95+++3I5bo1NTVRu2m//vprLVmyRHV1derVq5cmTJig3bt3a+TIkYlLgQ5xnxEAQKrq1Amsy5Yt07Jly1p9rrKyMurxmjVrtGbNms68jStE3fQswX0h6jANXQQAkKK42NPBOEwDAEgHlBHLrtbhkzC7RgAAKYoykkKSecUL54wAAFIVZcTBkvklfAAAJAplxLKkXtp72YCcMwIASFWUEQcLR5UR2ggAIDVRRixL5qGUZO51AQAgUSgjDhaOuocJbQQAkJooI5YlsyJwzggAIB1QRlJIondecM4IACAdUEYcjEt7AQDpgDJiWfS5HImtDJfvDeGcEdjA5w5ALCgjDnb5eSLhsL15wL04VwlALCgjKSS5Nz3jrwKuvgu0YAAxoIw4GOeMwDa6CIBYUEYsS2Zh4JwR2MaeEQCxoIw4WNQ5I3QRWEAXARALyoiDcTt42NbMBw9ADCgjlhkl71AKJ7DChvBlu+E4TAMgFpQRB4s+Z8TiROAqzZeVEboIgFhQRixL6gmsl/0hYM8IrpYL7BkBECfKiIMl796uQNuivhOJLgIgBpQRy5J5kinnjMAG9owAiBdlxME4ZwQ2XH4CKyUYQCwoIw4WfZ8R/ijg6rh8b8gFbnADIAaUEcuSeQKrYc8ILLj8yEwzZQRADCgjDmbYMwILmjmBFUCcKCOWJfOmZ5wzAhs4gRVAvCgjDhZ9aS9tBFcHJ7ACiBdlxLJk/rc66n4P/E3AVRK1Z6SZDx6AjlFGHIw7sMKGy/eM8EV5AGLRqTLy3HPP6brrrlNOTo4mTZqk999/v931N23apOHDhysnJ0djxozRli1bOjVZxIeraWDD5eeJcDUNgFjEXUZee+01FRcX69FHH9UHH3ygsWPHatasWTpx4kSr6+/evVsLFizQPffcowMHDqioqEhFRUU6dOjQFU/eaRJ+B9aosfmjgKvj8v5BGQEQi7jLyNNPP60lS5bo7rvv1siRI/XCCy8oNzdXL7/8cqvrr127VrNnz9aKFSs0YsQIrVq1SuPHj9ezzz57xZNH+zhnBDawZwRAvLrEs/L58+e1f/9+lZSURJZlZGRo+vTpqqqqavU1VVVVKi4ujlo2a9YsVVRUtPk+TU1NampqijwOBoOSpFAopFAoFM+U2/Xz//q9qo5laN+bv1VGhp3TZz78Y0Pk96MnTuvRNw4mbOzgN3/6Z/Uf79fovz/5MmFjp4pwOKya43a3YbKlW8avzp6P/P5/9/xBO3/X+l7TS9ItX7ycnk9yfkan55MuZhxyXgn9GyvFPl5cZeTkyZNqbm5WXl5e1PK8vDx99NFHrb6mrq6u1fXr6urafJ+ysjKVlpa2WL5161bl5ubGM+V2bTyYqT+cyZDq/piwMa9EXbBJr1bVJGXsd3/3pSTnlZGLUmcbJk96Znz3yMkY10zPfLFzej7J+Rmdnk/6u9FSIBBI6JiNjY0xrRdXGblaSkpKovamBINBFRQUaObMmfL5fAl7n696/0G7qz/SkCFDlGmx7XbJ9Kg5nJzzOowJ69jvj2mw5YzJ0hwO69ixY9a3YTKlY0aPx6MMT2yHadIxXzycnk9yfkan55MuZvQ1fqIZM2YoKysrYeNeOrLRkbjKSJ8+fZSZman6+vqo5fX19crPz2/1Nfn5+XGtL0ler1der7fF8qysrIT+Q/r/brlOvb/6rebOuiGh46aSUCikLVs+cWxGp+eTnJ+RfOnP6Rmdnk/6U8ZE/52Nday4Kl52drYmTJigbdu2RZaFw2Ft27ZNfr+/1df4/f6o9aWLu4HaWh8AALhL3IdpiouLtXjxYk2cOFE333yznnnmGZ09e1Z33323JGnRokUaMGCAysrKJEnLly/XlClTtHr1as2bN08bN27Uvn37tH79+sQmAQAAaSnuMnLnnXfqiy++0COPPKK6ujrdeOONevvttyMnqdbU1ESdbTx58mSVl5frJz/5iR5++GENGzZMFRUVGj16dOJSAACAtNWpE1iXLVumZcuWtfpcZWVli2Xz58/X/PnzO/NWAADA4Zx5WjAAAEgblBEAAGAVZQQAAFhFGQEAAFZRRgAAgFWUEQAAYBVlBAAAWEUZAQAAVlFGAACAVZ26A+vVZszFryGP9auIYxUKhdTY2KhgMOjob2J0ckan55Ocn5F86c/pGZ2eT0pexkt/ty/9HW9LWpSR06dPS5IKCgoszwQAAMTr9OnT6tGjR5vPe0xHdSUFhMNhff755+revbs8Hk/Cxg0GgyooKNCnn34qn8+XsHFTidMzOj2f5PyM5Et/Ts/o9HxS8jIaY3T69Gn1798/6kt0vy0t9oxkZGRo4MCBSRvf5/M59gN2idMzOj2f5PyM5Et/Ts/o9HxScjK2t0fkEk5gBQAAVlFGAACAVa4uI16vV48++qi8Xq/tqSSN0zM6PZ/k/IzkS39Oz+j0fJL9jGlxAisAAHAuV+8ZAQAA9lFGAACAVZQRAABgFWUEAABY5eoy8txzz+m6665TTk6OJk2apPfff9/2lDpl5cqV8ng8UT/Dhw+PPH/u3DktXbpU11xzjbp166a/+qu/Un19vcUZd2znzp267bbb1L9/f3k8HlVUVEQ9b4zRI488on79+qlr166aPn26Pv7446h1vvrqK911113y+Xzq2bOn7rnnHp05c+YqpmhbR/l++MMfttims2fPjlonlfOVlZXppptuUvfu3dW3b18VFRXpyJEjUevE8rmsqanRvHnzlJubq759+2rFihW6cOHC1YzSqljyTZ06tcU2vO+++6LWSdV8krRu3ToVFhZGboLl9/v11ltvRZ5P5+0ndZwv3bfftz3xxBPyeDx64IEHIstSahsal9q4caPJzs42L7/8sjl8+LBZsmSJ6dmzp6mvr7c9tbg9+uijZtSoUaa2tjby88UXX0Sev++++0xBQYHZtm2b2bdvn7nlllvM5MmTLc64Y1u2bDH/+I//aH71q18ZSWbz5s1Rzz/xxBOmR48epqKiwvzP//yPuf32282QIUPMN998E1ln9uzZZuzYsWbPnj3mv/7rv8zQoUPNggULrnKS1nWUb/HixWb27NlR2/Srr76KWieV882aNcu88sor5tChQ6a6utrMnTvXDBo0yJw5cyayTkefywsXLpjRo0eb6dOnmwMHDpgtW7aYPn36mJKSEhuRosSSb8qUKWbJkiVR27ChoSHyfCrnM8aY//zP/zS//vWvze9+9ztz5MgR8/DDD5usrCxz6NAhY0x6bz9jOs6X7tvvcu+//7657rrrTGFhoVm+fHlkeSptQ9eWkZtvvtksXbo08ri5udn079/flJWVWZxV5zz66KNm7NixrT536tQpk5WVZTZt2hRZ9r//+79GkqmqqrpKM7wy3/5jHQ6HTX5+vnnyyScjy06dOmW8Xq/5j//4D2OMMb/97W+NJLN3797IOm+99ZbxeDzms88+u2pzj0VbZeSOO+5o8zXplM8YY06cOGEkmR07dhhjYvtcbtmyxWRkZJi6urrIOuvWrTM+n880NTVd3QAd+HY+Yy7+Mbv8P/zflk75LunVq5d56aWXHLf9LrmUzxjnbL/Tp0+bYcOGmUAgEJUp1bahKw/TnD9/Xvv379f06dMjyzIyMjR9+nRVVVVZnFnnffzxx+rfv7+uv/563XXXXaqpqZEk7d+/X6FQKCrr8OHDNWjQoLTNeuzYMdXV1UVl6tGjhyZNmhTJVFVVpZ49e2rixImRdaZPn66MjAy99957V33OnVFZWam+ffvqhhtu0P33368vv/wy8ly65WtoaJAk9e7dW1Jsn8uqqiqNGTNGeXl5kXVmzZqlYDCow4cPX8XZd+zb+S7593//d/Xp00ejR49WSUmJGhsbI8+lU77m5mZt3LhRZ8+eld/vd9z2+3a+S5yw/ZYuXap58+ZFbSsp9f4dTIsvyku0kydPqrm5OeofsCTl5eXpo48+sjSrzps0aZI2bNigG264QbW1tSotLdWf//mf69ChQ6qrq1N2drZ69uwZ9Zq8vDzV1dXZmfAVujTv1rbfpefq6urUt2/fqOe7dOmi3r17p0Xu2bNn6y//8i81ZMgQffLJJ3r44Yc1Z84cVVVVKTMzM63yhcNhPfDAA/re976n0aNHS1JMn8u6urpWt/Gl51JFa/kkaeHChRo8eLD69++vDz/8UP/wD/+gI0eO6Fe/+pWk9Mh38OBB+f1+nTt3Tt26ddPmzZs1cuRIVVdXO2L7tZVPcsb227hxoz744APt3bu3xXOp9u+gK8uI08yZMyfye2FhoSZNmqTBgwfrl7/8pbp27WpxZuisv/7rv478PmbMGBUWFuo73/mOKisrNW3aNIszi9/SpUt16NAh7dq1y/ZUkqKtfD/60Y8iv48ZM0b9+vXTtGnT9Mknn+g73/nO1Z5mp9xwww2qrq5WQ0ODXn/9dS1evFg7duywPa2EaSvfyJEj0377ffrpp1q+fLkCgYBycnJsT6dDrjxM06dPH2VmZrY4a7i+vl75+fmWZpU4PXv21He/+10dPXpU+fn5On/+vE6dOhW1TjpnvTTv9rZffn6+Tpw4EfX8hQsX9NVXX6Vl7uuvv159+vTR0aNHJaVPvmXLlunNN9/Uu+++q4EDB0aWx/K5zM/Pb3UbX3ouFbSVrzWTJk2SpKhtmOr5srOzNXToUE2YMEFlZWUaO3as1q5d65jt11a+1qTb9tu/f79OnDih8ePHq0uXLurSpYt27Nihn/3sZ+rSpYvy8vJSahu6soxkZ2drwoQJ2rZtW2RZOBzWtm3boo4XpqszZ87ok08+Ub9+/TRhwgRlZWVFZT1y5IhqamrSNuuQIUOUn58flSkYDOq9996LZPL7/Tp16pT2798fWWf79u0Kh8OR/6ikkz/+8Y/68ssv1a9fP0mpn88Yo2XLlmnz5s3avn27hgwZEvV8LJ9Lv9+vgwcPRpWuQCAgn88X2ZVuS0f5WlNdXS1JUdswVfO1JRwOq6mpKe23X1su5WtNum2/adOm6eDBg6quro78TJw4UXfddVfk95Tahgk9HTaNbNy40Xi9XrNhwwbz29/+1vzoRz8yPXv2jDprOF08+OCDprKy0hw7dsz893//t5k+fbrp06ePOXHihDHm4uVbgwYNMtu3bzf79u0zfr/f+P1+y7Nu3+nTp82BAwfMgQMHjCTz9NNPmwMHDpjjx48bYy5e2tuzZ0/zxhtvmA8//NDccccdrV7aO27cOPPee++ZXbt2mWHDhqXMpa/t5Tt9+rT5+7//e1NVVWWOHTtmfvOb35jx48ebYcOGmXPnzkXGSOV8999/v+nRo4eprKyMujSysbExsk5Hn8tLlxXOnDnTVFdXm7fffttce+21KXHpZEf5jh49ah577DGzb98+c+zYMfPGG2+Y66+/3tx6662RMVI5nzHG/PjHPzY7duwwx44dMx9++KH58Y9/bDwej9m6dasxJr23nzHt53PC9mvNt68QSqVt6NoyYowx//Iv/2IGDRpksrOzzc0332z27Nlje0qdcuedd5p+/fqZ7OxsM2DAAHPnnXeao0ePRp7/5ptvzN/+7d+aXr16mdzcXPMXf/EXpra21uKMO/buu+8aSS1+Fi9ebIy5eHnvP/3TP5m8vDzj9XrNtGnTzJEjR6LG+PLLL82CBQtMt27djM/nM3fffbc5ffq0hTQttZevsbHRzJw501x77bUmKyvLDB482CxZsqRFUU7lfK1lk2ReeeWVyDqxfC7/8Ic/mDlz5piuXbuaPn36mAcffNCEQqGrnKaljvLV1NSYW2+91fTu3dt4vV4zdOhQs2LFiqj7VBiTuvmMMeZv/uZvzODBg012dra59tprzbRp0yJFxJj03n7GtJ/PCduvNd8uI6m0DT3GGJPYfS0AAACxc+U5IwAAIHVQRgAAgFWUEQAAYBVlBAAAWEUZAQAAVlFGAACAVZQRAABgFWUEAABYRRkBAABWUUYAAIBVlBEAAGAVZQQAAFj1/wDAvupPThEgRwAAAABJRU5ErkJggg==\n" }, "metadata": {} } ], "source": [ "from scipy.fft import fft, fftfreq\n", "\n", "# Number of sample points\n", "\n", "N = 1600\n", "\n", "# sample spacing\n", "\n", "T = 1.0 / 800.0\n", "\n", "x = np.linspace(0.0, N*T, N, endpoint=False)\n", "\n", "y = np.sin(50.0 * 2.0*np.pi*x) + 0.5*np.sin(190.0 * 2.0*np.pi*x)+ 4 *np.sin(30.0 * 2.0*np.pi*x)\n", "\n", "yf = fft(y)\n", "\n", "xf = fftfreq(N, T)[:N//2]\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "plt.plot(xf, 2.0/N * np.abs(yf[0:N//2]))\n", "\n", "plt.grid()\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "bc70e7e7", "metadata": { "id": "bc70e7e7", "outputId": "6989c59f-988d-4201-d860-e060b7ae1b4e" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.fft import fft, fftfreq\n", "\n", "# Number of sample points\n", "\n", "N = 600\n", "\n", "# sample spacing\n", "\n", "T = 1.0 / 800.0\n", "\n", "x = np.linspace(0.0, N*T, N, endpoint=False)\n", "\n", "y = np.sin(50.0 * 2.0*np.pi*x) + 0.5*np.sin(190.0 * 2.0*np.pi*x)+ 4 *np.sin(30.0 * 2.0*np.pi*x)\n", "\n", "yf = fft(y)\n", "\n", "xf = fftfreq(N, T)[:N//2]\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "plt.plot(xf, 2.0/N * np.abs(yf[0:N//2]))\n", "\n", "plt.grid()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1fad3c8a", "metadata": { "id": "1fad3c8a" }, "source": [ "## Save as an audio file" ] }, { "cell_type": "code", "execution_count": null, "id": "1e3091de", "metadata": { "id": "1e3091de", "outputId": "cfd17b28-e6d1-4cc7-fea1-02e8935beaa6" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "samplerate = 44100; fs = 100\n", "\n", "t = np.linspace(0., 1., samplerate)\n", "\n", "amplitude = np.iinfo(np.int16).max\n", "\n", "data = amplitude * np.sin(2. * np.pi * fs * t)\n", "\n", "\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data)\n", "\n", "write(\"example1.wav\", samplerate, data.astype(np.int16))\n" ] }, { "cell_type": "markdown", "id": "01b905e1", "metadata": { "id": "01b905e1" }, "source": [ "Read More:https://docs.scipy.org/doc/scipy/reference/generated/scipy.io.wavfile.write.html\n", "\n", "Tutorial by [Class.vision](Class.Vision)" ] } ], "metadata": { "kernelspec": { "display_name": "vision-class", "language": "python", "name": "tensorflow_25" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" }, "colab": { "provenance": [] } }, "nbformat": 4, "nbformat_minor": 5 }