.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "tutorials/additive_synthesis_tutorial.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        Click :ref:`here <sphx_glr_download_tutorials_additive_synthesis_tutorial.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_tutorials_additive_synthesis_tutorial.py:


Additive Synthesis
==================

**Author**: `Moto Hira <moto@meta.com>`__

This tutorial is the continuation of
`Oscillator and ADSR Envelope <./oscillator_tutorial.html>`__.

This tutorial shows how to perform additive synthesis and subtractive
synthesis using TorchAudio's DSP functions.

Additive synthesis creates timbre by combining multiple waveform.
Subtractive synthesis creates timbre by applying filters.

.. warning::
   This tutorial requires prototype DSP features, which are
   available in nightly builds.

   Please refer to https://pytorch.org/get-started/locally
   for instructions for installing a nightly build.

.. GENERATED FROM PYTHON SOURCE LINES 24-31

.. code-block:: default


    import torch
    import torchaudio

    print(torch.__version__)
    print(torchaudio.__version__)





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    2.4.0
    2.4.0




.. GENERATED FROM PYTHON SOURCE LINES 32-36

Overview
--------



.. GENERATED FROM PYTHON SOURCE LINES 36-52

.. code-block:: default


    try:
        from torchaudio.prototype.functional import adsr_envelope, extend_pitch, oscillator_bank
    except ModuleNotFoundError:
        print(
            "Failed to import prototype DSP features. "
            "Please install torchaudio nightly builds. "
            "Please refer to https://pytorch.org/get-started/locally "
            "for instructions to install a nightly build."
        )
        raise

    import matplotlib.pyplot as plt
    from IPython.display import Audio









.. GENERATED FROM PYTHON SOURCE LINES 53-68

Creating multiple frequency pitches
-----------------------------------

The core of additive synthesis is oscillator. We create a timbre by
summing up the multiple waveforms generated by oscillator.

In `the oscillator tutorial <./oscillator_tutorial.html>`__, we used
:py:func:`~torchaudio.prototype.functional.oscillator_bank` and
:py:func:`~torchaudio.prototype.functional.adsr_envelope` to generate
various waveforms.

In this tutorial, we use
:py:func:`~torchaudio.prototype.functional.extend_pitch` to create
a timbre from base frequency.


.. GENERATED FROM PYTHON SOURCE LINES 70-72

First, we define some constants and helper function that we use
throughout the tutorial.

.. GENERATED FROM PYTHON SOURCE LINES 73-84

.. code-block:: default



    PI = torch.pi
    PI2 = 2 * torch.pi

    F0 = 344.0  # fundamental frequency
    DURATION = 1.1  # [seconds]
    SAMPLE_RATE = 16_000  # [Hz]

    NUM_FRAMES = int(DURATION * SAMPLE_RATE)








.. GENERATED FROM PYTHON SOURCE LINES 86-115

.. code-block:: default



    def plot(freq, amp, waveform, sample_rate, zoom=None, vol=0.1):
        t = (torch.arange(waveform.size(0)) / sample_rate).numpy()

        fig, axes = plt.subplots(4, 1, sharex=True)
        axes[0].plot(t, freq.numpy())
        axes[0].set(title=f"Oscillator bank (bank size: {amp.size(-1)})", ylabel="Frequency [Hz]", ylim=[-0.03, None])
        axes[1].plot(t, amp.numpy())
        axes[1].set(ylabel="Amplitude", ylim=[-0.03 if torch.all(amp >= 0.0) else None, None])
        axes[2].plot(t, waveform)
        axes[2].set(ylabel="Waveform")
        axes[3].specgram(waveform, Fs=sample_rate)
        axes[3].set(ylabel="Spectrogram", xlabel="Time [s]", xlim=[-0.01, t[-1] + 0.01])

        for i in range(4):
            axes[i].grid(True)
        pos = axes[2].get_position()
        fig.tight_layout()

        if zoom is not None:
            ax = fig.add_axes([pos.x0 + 0.02, pos.y0 + 0.03, pos.width / 2.5, pos.height / 2.0])
            ax.plot(t, waveform)
            ax.set(xlim=zoom, xticks=[], yticks=[])

        waveform /= waveform.abs().max()
        return Audio(vol * waveform, rate=sample_rate, normalize=False)









.. GENERATED FROM PYTHON SOURCE LINES 116-129

Harmonic Overtones
-------------------

Harmonic overtones are frequency components that are an integer
multiple of the fundamental frequency.

We look at how to generate the common waveforms that are used in
synthesizers. That is,

 - Sawtooth wave
 - Square wave
 - Triangle wave


.. GENERATED FROM PYTHON SOURCE LINES 131-147

Sawtooth wave
~~~~~~~~~~~~~

`Sawtooth wave <https://en.wikipedia.org/wiki/Sawtooth_wave>`_ can be
expressed as the following. It contains all the integer harmonics, so
it is commonly used in subtractive synthesis as well.

.. math::

   \begin{align*}
   y_t &= \sum_{k=1}^{K} A_k \sin ( 2 \pi f_k t ) \\
   \text{where} \\
   f_k &= k f_0 \\
   A_k &= -\frac{ (-1) ^k }{k \pi}
   \end{align*}


.. GENERATED FROM PYTHON SOURCE LINES 149-152

The following function takes fundamental frequencies and amplitudes,
and adds extend pitch in accordance with the formula above.


.. GENERATED FROM PYTHON SOURCE LINES 152-163

.. code-block:: default



    def sawtooth_wave(freq0, amp0, num_pitches, sample_rate):
        freq = extend_pitch(freq0, num_pitches)

        mults = [-((-1) ** i) / (PI * i) for i in range(1, 1 + num_pitches)]
        amp = extend_pitch(amp0, mults)
        waveform = oscillator_bank(freq, amp, sample_rate=sample_rate)
        return freq, amp, waveform









.. GENERATED FROM PYTHON SOURCE LINES 164-166

Now synthesize a waveform


.. GENERATED FROM PYTHON SOURCE LINES 167-173

.. code-block:: default


    freq0 = torch.full((NUM_FRAMES, 1), F0)
    amp0 = torch.ones((NUM_FRAMES, 1))
    freq, amp, waveform = sawtooth_wave(freq0, amp0, int(SAMPLE_RATE / F0), SAMPLE_RATE)
    plot(freq, amp, waveform, SAMPLE_RATE, zoom=(1 / F0, 3 / F0))




.. image-sg:: /tutorials/images/sphx_glr_additive_synthesis_tutorial_001.png
   :alt: Oscillator bank (bank size: 46)
   :srcset: /tutorials/images/sphx_glr_additive_synthesis_tutorial_001.png
   :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    /pytorch/audio/src/torchaudio/prototype/functional/_dsp.py:63: UserWarning: Some frequencies are above nyquist frequency. Setting the corresponding amplitude to zero. This might cause numerically unstable gradient.
      warnings.warn(


.. raw:: html

    <div class="output_subarea output_html rendered_html output_result">

                    <audio  controls="controls" >
                        <source src="data:audio/wav;base64,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" type="audio/wav" />
                        Your browser does not support the audio element.
                    </audio>
              
    </div>
    <br />
    <br />

.. GENERATED FROM PYTHON SOURCE LINES 174-177

It is possible to oscillate the base frequency to create a
time-varying tone based on sawtooth wave.


.. GENERATED FROM PYTHON SOURCE LINES 178-188

.. code-block:: default


    fm = 10  # rate at which the frequency oscillates [Hz]
    f_dev = 0.1 * F0  # the degree of frequency oscillation [Hz]

    phase = torch.linspace(0, fm * PI2 * DURATION, NUM_FRAMES)
    freq0 = F0 + f_dev * torch.sin(phase).unsqueeze(-1)

    freq, amp, waveform = sawtooth_wave(freq0, amp0, int(SAMPLE_RATE / F0), SAMPLE_RATE)
    plot(freq, amp, waveform, SAMPLE_RATE, zoom=(1 / F0, 3 / F0))




.. image-sg:: /tutorials/images/sphx_glr_additive_synthesis_tutorial_002.png
   :alt: Oscillator bank (bank size: 46)
   :srcset: /tutorials/images/sphx_glr_additive_synthesis_tutorial_002.png
   :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    /pytorch/audio/src/torchaudio/prototype/functional/_dsp.py:63: UserWarning: Some frequencies are above nyquist frequency. Setting the corresponding amplitude to zero. This might cause numerically unstable gradient.
      warnings.warn(


.. raw:: html

    <div class="output_subarea output_html rendered_html output_result">

                    <audio  controls="controls" >
                        <source src="data:audio/wav;base64,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" type="audio/wav" />
                        Your browser does not support the audio element.
                    </audio>
              
    </div>
    <br />
    <br />

.. GENERATED FROM PYTHON SOURCE LINES 189-204

Square wave
~~~~~~~~~~~

`Square wave <https://en.wikipedia.org/wiki/Square_wave>`_ contains
only odd-integer harmonics.

.. math::

   \begin{align*}
   y_t &= \sum_{k=0}^{K-1} A_k \sin ( 2 \pi f_k t ) \\
   \text{where} \\
   f_k &= n f_0 \\
   A_k &= \frac{ 4 }{n \pi} \\
   n   &= 2k + 1
   \end{align*}

.. GENERATED FROM PYTHON SOURCE LINES 204-217

.. code-block:: default



    def square_wave(freq0, amp0, num_pitches, sample_rate):
        mults = [2.0 * i + 1.0 for i in range(num_pitches)]
        freq = extend_pitch(freq0, mults)

        mults = [4 / (PI * (2.0 * i + 1.0)) for i in range(num_pitches)]
        amp = extend_pitch(amp0, mults)

        waveform = oscillator_bank(freq, amp, sample_rate=sample_rate)
        return freq, amp, waveform









.. GENERATED FROM PYTHON SOURCE LINES 219-225

.. code-block:: default


    freq0 = torch.full((NUM_FRAMES, 1), F0)
    amp0 = torch.ones((NUM_FRAMES, 1))
    freq, amp, waveform = square_wave(freq0, amp0, int(SAMPLE_RATE / F0 / 2), SAMPLE_RATE)
    plot(freq, amp, waveform, SAMPLE_RATE, zoom=(1 / F0, 3 / F0))




.. image-sg:: /tutorials/images/sphx_glr_additive_synthesis_tutorial_003.png
   :alt: Oscillator bank (bank size: 23)
   :srcset: /tutorials/images/sphx_glr_additive_synthesis_tutorial_003.png
   :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    /pytorch/audio/src/torchaudio/prototype/functional/_dsp.py:63: UserWarning: Some frequencies are above nyquist frequency. Setting the corresponding amplitude to zero. This might cause numerically unstable gradient.
      warnings.warn(


.. raw:: html

    <div class="output_subarea output_html rendered_html output_result">

                    <audio  controls="controls" >
                        <source src="data:audio/wav;base64,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" type="audio/wav" />
                        Your browser does not support the audio element.
                    </audio>
              
    </div>
    <br />
    <br />

.. GENERATED FROM PYTHON SOURCE LINES 226-241

Triangle wave
~~~~~~~~~~~~~

`Triangle wave <https://en.wikipedia.org/wiki/Triangle_wave>`_
also only contains odd-integer harmonics.

.. math::

   \begin{align*}
   y_t &= \sum_{k=0}^{K-1} A_k \sin ( 2 \pi f_k t ) \\
   \text{where} \\
   f_k &= n f_0 \\
   A_k &= (-1) ^ k \frac{8}{(n\pi) ^ 2} \\
   n   &= 2k + 1
   \end{align*}

.. GENERATED FROM PYTHON SOURCE LINES 241-255

.. code-block:: default



    def triangle_wave(freq0, amp0, num_pitches, sample_rate):
        mults = [2.0 * i + 1.0 for i in range(num_pitches)]
        freq = extend_pitch(freq0, mults)

        c = 8 / (PI**2)
        mults = [c * ((-1) ** i) / ((2.0 * i + 1.0) ** 2) for i in range(num_pitches)]
        amp = extend_pitch(amp0, mults)

        waveform = oscillator_bank(freq, amp, sample_rate=sample_rate)
        return freq, amp, waveform









.. GENERATED FROM PYTHON SOURCE LINES 257-261

.. code-block:: default


    freq, amp, waveform = triangle_wave(freq0, amp0, int(SAMPLE_RATE / F0 / 2), SAMPLE_RATE)
    plot(freq, amp, waveform, SAMPLE_RATE, zoom=(1 / F0, 3 / F0))




.. image-sg:: /tutorials/images/sphx_glr_additive_synthesis_tutorial_004.png
   :alt: Oscillator bank (bank size: 23)
   :srcset: /tutorials/images/sphx_glr_additive_synthesis_tutorial_004.png
   :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    /pytorch/audio/src/torchaudio/prototype/functional/_dsp.py:63: UserWarning: Some frequencies are above nyquist frequency. Setting the corresponding amplitude to zero. This might cause numerically unstable gradient.
      warnings.warn(


.. raw:: html

    <div class="output_subarea output_html rendered_html output_result">

                    <audio  controls="controls" >
                        <source src="data:audio/wav;base64,UklGRqSJAABXQVZFZm10IBAAAAABAAEAgD4AAAB9AAACABAAZGF0YYCJAAAeATwCXAN5BJoFtQbZB/EIGQooC2QMpQxyC2MKOQkjCP0G5QXBBKcDhAJpAUcALf8L/u/8zvux+pL5c/hV9zX2G/Xu8zjzPPRY9Xv2lfe5+NL59voQ/DP9Tf5w/4kArAHGAuoDAwUnBkEHZQh+CaIKvAvGDBoM6wrTCbEIkwd1BlUFOAQYA/sB2gC//53+g/1g/Eb7IvoJ+eP3zvaj9ZX0YPOV89H04PUJ9yD4RPlf+oH7nfy9/dv++v8YATYCVQNyBJMFrwbSB+oIEgoiC10MqQx5C2oKQAkqCAQH7AXHBK4DiwJwAU4ANP8S/vb81fu4+pj5evhc9zz2IfX28zbzNfRS9XT2jvey+Mz57/oJ/Cz9Rv5p/4IApgHAAuMD/QQhBjoHXgh3CZwKtAvEDCIM8QraCbcImgd7BlwFPwQfAwIC4QDG/6T+if1m/Ez7KPoQ+er31faq9Zz0ZfOP88v02fUC9xn4PvlY+nr7lvy3/dT+9P8RAS8CTwNsBI0FqAbLB+QICwocC1YMrgyAC3AKRgkxCAoH8gXOBLUDkQJ3AVQAOv8Y/v382/u/+p75gfhi90P2J/X+8zXzLfRL9W32iPer+MX56PoC/CX9QP5j/3wAnwG5At0D9gQaBjMHWAhwCZYKrQvCDCkM9wrhCb4IoQeCBmMFRQQlAwgC6ADM/6v+kP1t/FP7L/oX+fH32/ax9aP0avOI88T00vX89hP4N/lR+nT7j/yw/c3+7f8KASkCSANlBIYFogbEB90IBAoWC08MsgyIC3YKTQk3CBEH+QXVBLsDmAJ+AVsAQf8f/gT94vvG+qX5iPho90r2LfUG9DTzJfRF9Wb2gvek+L/54fr8+x/9Of5c/3UAmAGyAtYD7wQUBiwHUQhpCZAKpQu/DDEM/QroCcQIqAeIBmoFTAQsAw8C7wDT/7L+lv10/Fr7Nvod+ff34va39ar0cPOC8770zPX19gz4MflK+m37iPyq/cb+5/8DASICQQNfBH8Fmwa9B9cI/QkPC0cMtgyPC30KVAk+CBgHAAbbBMIDngKEAWEASP8l/gr96PvN+qv5j/hv91H2M/UN9DTzHfQ/9V/2e/ed+Lj52/r1+xj9Mv5V/28AkgGsAs8D6QQNBiUHSwhiCYkKngu8DDgMAwvvCcoIrwePBnEFUgQzAxUC9QDa/7n+nf17/GD7Pfok+f736Pa+9bD0dvN887f0xfXv9gX4KvlE+mf7gvyj/b/+4P/8ABwCOgNZBHgFlQa2B9EI9gkJC0AMuQyWC4MKWwlECB8HBgbiBMkDpQKLAWgAT/8s/hH97/vU+rL5lvh191j2OfUV9DTzFfQ59Vj2dfeW+LL51Prv+xH9LP5P/2gAiwGlAskD4gQGBh8HRAhbCYMKlgu5DEAMCQv2CdEItgeVBngFWQQ6AxwC/ADg/7/+o/2C/Gf7RPoq+QX47/bF9bf0fPN287D0vvXo9v73JPk9+mD7e/yd/bn+2v/1ABUCMwNSBHEFjwavB8oI7wkDCzgMvAyeC4kKYglLCCUHDQbpBM8DrAKSAW8AVf8y/hj99fvb+rj5nfh791/2P/Ud9DTzDfQz9VH2b/eP+Kv5zfro+wr9Jf5I/2EAhAGeAsID2wQABhgHPghUCX0Kjwu2DEcMDwv9CdcIvQebBn8FXwRBAyICAwHn/8b+qv2I/G37Svox+Qz49fbM9b70gvNw86r0t/Xi9vf3Hfk2+lr7dPyW/bL+0//vAA8CLANMBGoFiAaoB8QI6An9CjEMvwylC5AKaQlRCCwHFAbvBNYDsgKYAXUAXP85/h/9/Pvh+r/5pPiC92b2RfUl9DTzBvQt9Ur2aPeI+KX5xvri+wT9H/5B/1sAfgGYArsD1QT5BREHNwhNCXYKiAuyDE8MFgsECt0IxAeiBoYFZQRIAykCCgHt/83+sP2P/HT7Ufo3+RP4/PbS9cT0iPNq86P0sfXb9vH3F/kv+lP7bfyQ/av+zf/oAAgCJQNFBGMFggahB74I4Qn3CikMwgytC5YKcAlYCDMHGgb2BN0DuQKfAXwAY/9A/iX9Avzo+sX5q/iI9232S/Ut9DXz/vMn9UP2YveB+J75v/rb+/38GP46/1QAdwGRArUDzgTyBQoHMQhGCXAKgAuuDFYMHAsLCuQIyweoBo0FbARPAy8CEQH0/9T+t/2W/Hr7WPo++Rn4AvfZ9cv0j/Nl85z0qvXV9ur3EPko+kz7ZvyJ/aT+xv/hAAICHwM/BFwFewaaB7cI2gnxCiIMxAy0C5wKdwleCDoHIQb9BOMDwAKmAYIAaf9G/iz9Cfzv+sz5sviO93T2UvU09Dbz9vMh9Tz2XPd6+Jj5uPrV+/b8Ev40/04AcAGLAq4DxwTsBQQHKghACWoKeQupDF0MIgsSCuoI0gevBpMFcgRVAzYCGAH6/9v+vf2d/IH7X/pE+SD4Cffg9dH0lfNg85X0pPXO9uP3Cfki+kb7YPyD/Z3+v//aAPsBGAM4BFUFdQaTB7EI0wnrChoMxgy8C6IKfgllCEEHJwYDBeoDxgKsAYkAcP9N/jP9EPz2+tL5ufiV93v2WPU89Djz7vMb9TX2Vfdz+JL5sfrO++/8C/4t/0cAaQGEAqcDwQTlBf0GIwg5CWMKcgulDGQMKAsZCvEI2Qe1BpoFeQRcAzwCHgEAAOL+xP2k/If7ZvpL+Sf4D/fn9dj0nPNb8470nfXH9t33A/kb+j/7Wfx8/Zf+uf/TAPUBEQMyBE8FbgaNB6sIywnlChIMyAzEC6gKhQlrCEcHLgYKBfADzQKzAZAAd/9U/jr9Fvz9+tn5v/ib94L2XvVE9Drz5vMV9S32T/dt+Iv5q/rI++j8Bf4m/0EAYwF9AqADugTeBfcGHQgyCV0KawugDGsMLwsgCvcI4Ae8BqEFfwRjA0MCJQEGAOj+yv2r/I77bfpR+S74Fvfu9d70o/NX84f0lvXA9tb3/PgU+jn7Uvx1/ZD+sv/MAO4BCgMrBEgFaAaGB6QIxAnfCgoMygzLC64KjAlyCE4HNAYRBfcD1AK6AZcAfv9a/kD9HfwD+9/5xvii94n2ZPVM9Dzz3vMP9Sb2Sfdm+IX5pPrB++H8/v0f/zoAXAF3ApoDtATYBfAGFggrCVYKZAubDHEMNQsnCv0I5wfCBqgFhgRqA0kCLAEMAO/+0f2x/JT7c/pY+TX4HPf19eT0qvNS84D0kPW69s/39vgO+jL7S/xv/Yn+rP/GAOgBAwMlBEEFYgZ/B54IvQnZCgIMywzTC7UKkwl4CFUHOwYYBf4D2wLAAZ0AhP9h/kf9I/wK++b5zfio95D2avVT9D7z1/MJ9R/2Qvdf+H75nfq7+9v8+P0Y/zQAVQFwApMDrQTRBekGDwglCU8KXQuWDHgMPAsuCgQJ7QfJBq8FjARxA1ACMwETAPb+1/24/Jv7evpe+Tz4I/f89er0sfNO83j0ivWz9sn37/gH+iv7Rfxo/YL+pf+/AOEB/AIeBDoFWwZ4B5gItgnTCvsLzAzbC7sKmgl+CFwHQQYfBQQE4QLHAaQAi/9o/k79KvwR++z51Piv95f2cPVb9EHzz/MD9Rj2PPdY+Hj5lvq0+9T88f0S/y0ATgFqAowDpgTKBeMGCQgeCUkKVguQDH4MQgs0CgoJ9AfPBrYFkwR4A1YCOgEZAP3+3v2//KH7gfpl+UP4KfcD9vH0ufNK83H0g/Ws9sL36PgA+iX7Pvxi/Xz+n/+4ANsB9gIYBDMFVQZxB5EIrwnNCvMLzAzjC8EKoQmFCGMHSAYlBQsE6ALOAasAkf9u/lT9MfwX+/P52/i19572d/Vi9ETzyPP99BH2NvdR+HH5j/qu+8386/0L/ycARwFjAoUDoATDBdwGAggYCUIKUAuKDIQMSQs7ChEJ+wfWBrwFmQR+A10CQQEgAAT/5P3G/Kf7iPpr+Ur4L/cK9vf0wPNH82r0ffWl9rz34fj6+R77N/xb/XX+mP+xANQB7wIRBCwFTgZqB4sIqAnHCusLzAzrC8cKqAmLCGoHTgYsBREE7wLUAbEAmP91/lv9N/we+/r54fi896X2ffVq9EfzwPP39Ar2L/dK+Gv5iPqo+8b85P0E/yAAQQFdAn4DmQS8BdYG+wcRCTsKSQuEDIoMUAtCChgJAgjcBsMFoASFA2MCRwEmAAv/6/3N/K77j/px+VH4NvcR9v30yPNE82L0d/We9rX32/jz+Rf7MfxU/W7+kf+rAM4B6AILBCUFSAZjB4UIoQnBCuMLzAzzC80KrwmRCHEHVQYzBRgE9gLbAbgAn/98/mL9Pvwl+wD66PjC96z2g/Vx9ErzufPx9AP2KfdD+GX5gfqh+7/83v39/hkAOgFWAngDkwS2Bc8G9AcLCTQKQgt+DJAMVgtJCh4JCQjjBsoFpgSMA2oCTgEtABH/8f3U/LT7lvp4+Vj4PPcY9gP1z/NB81v0cPWX9q/31Pjs+RH7KvxO/Wj+i/+kAMcB4QIEBB8FQQZcB34Imgm7CtsLzAz6C9MKtgmYCHgHWwY6BR4E/ALhAb8Apf+C/mj9Rfwr+wf67/jJ97P2ivV49E7zsfPq9Pz1I/c8+F75evqb+7j81/32/hMAMwFQAnEDjASvBckG7QcECS4KPAt4DJYMXQtPCiUJDwjpBtEFrQSTA3ACVQEzABj/+P3b/Lv7nfp++V/4Qvcf9gn11/M+81P0avWQ9qj3zfjm+Qr7I/xH/WH+hP+dAMAB2wL+AxgFOwZVB3gIkwm1CtMLywwCDNkKvQmeCH8HYgZBBSUEAwPoAcYArP+J/m/9S/wy+w769vjP97r2kPWA9FLzqvPk9PX1HPc1+Fj5c/qU+7H80f3v/gwALAFJAmoDhgSoBcIG5wf+CCcKNQtxDJsMZAtWCisJFgjwBtgFtASaA3cCXAE6AB///v3h/MH7pPqF+Wb4Sfcm9g/13vM880z0ZPWK9qL3xvjf+QP7HfxA/Vr+fv+XALoB1AL3AxEFNAZOB3IIjAmuCswLygwKDN8KxAmkCIYHaAZIBSsECgPuAcwAsv+Q/nX9Uvw5+xT6/PjW98D2lvWH9Ffzo/Pe9O71Fvcu+FH5bfqO+6v8yv3o/gYAJQFDAmMDfwShBbwG4Af3CCAKLwtrDKAMawtcCjIJHQj3Bt4FugSgA30CYwFBACb/Bf7o/Mj7qvqL+Wz4T/ct9hX15vM680T0XvWC9pv3v/jZ+f36Fvw6/VP+d/+QALMBzQLwAwoFLgZHB2sIhQmoCsQLyAwSDOUKywmrCIwHbgZPBTIEEQP1AdMAuf+X/nz9Wfw/+xv6A/nd98f2nfWO9FvznPPY9Of1D/cn+Ev5ZvqH+6T8xP3i/gAAHgE8AlwDeQSaBbUG2QfxCBkKKAtkDKUMcgtjCjkJIwj9BuUFwQSnA4QCaQFHAC3/C/7v/M77sfqS+XP4Vfc19hv17vM48zz0WPV79pX3ufjS+fb6EPwz/U3+cP+JAKwBxgLqAwQFJwZBB2UIfgmiCrwLxgwaDOsK0wmxCJMHdQZVBTgEGAP7AdoAv/+d/oP9YPxG+yL6Cfnj9872o/WV9GDzlfPR9OD1Cfcg+ET5X/qB+538vf3b/vr/GAE2AlUDcgSTBa8G0gfqCBIKIgtdDKkMeQtqCkAJKggEB+wFxwSuA4sCcAFOADT/Ev72/NX7uPqY+Xr4XPc89iH19vM28zX0UvV09o73svjM+e/6Cfws/Ub+av+CAKYBwALjA/0EIQY6B14IdwmcCrQLxAwiDPEK2gm3CJoHewZcBT8EHwMCAuEAxv+k/on9ZvxM+yj6EPnq99X2qvWc9GXzj/PL9Nn1A/cZ+D75WPp6+5b8t/3U/vT/EQEvAk8DbASNBagGywfkCAsKHAtWDK4MgAtwCkYJMQgKB/IFzgS1A5ECdwFUADr/GP79/Nv7v/qe+YH4YvdD9if1/vM18y30S/Vt9oj3q/jF+ej6Avwl/UD+Y/98AJ8BuQLdA/YEGgYzB1gIcAmWCq0LwgwpDPcK4Qm+CKEHggZjBUUEJQMIAugAzP+r/pD9bfxT+y/6F/nx99v2sfWj9GrziPPE9NL1/PYT+Df5Ufp0+4/8sP3N/u3/CgEpAkgDZQSGBaIGxAfdCAQKFgtPDLIMiAt2Ck0JNwgRB/kF1QS7A5gCfgFbAEH/H/4E/eL7xvql+Yj4aPdK9i31BfQ08yX0RfVm9oL3pPi/+eH6/Psf/Tn+XP91AJkBsgLWA+8EFAYsB1EIaQmQCqULvwwxDP0K6AnECKgHiAZqBUwELAMPAu8A0/+y/pb9dPxa+zb6Hfn39+L2t/Wq9HDzgvO+9Mz19vYM+DH5Svpt+4j8qv3G/uf/AwEiAkEDXwR/BZsGvQfXCP0JDwtHDLYMjwt9ClQJPggYBwAG2wTCA54ChAFhAEj/Jf4K/ej7zfqr+Y/4b/dR9jP1DfQ08x30P/Vf9nv3nfi4+dv69fsY/TL+Vf9vAJIBrALPA+kEDQYlB0sIYgmJCp4LvAw4DAML7wnKCK8HjwZxBVIEMwMVAvUA2v+5/p39e/xg+z36JPn+9+j2vvWw9HbzfPO39MX17/YF+Cr5RPpn+4L8o/2//uD//AAcAjoDWQR4BZUGtgfRCPYJCQtADLkMlguDClsJRAgfBwYG4gTJA6UCiwFoAE//LP4R/e/71Pqy+Zb4dfdY9jn1FfQ08xX0OfVY9nX3lviy+dT67/sR/Sz+T/9oAIsBpQLJA+IEBgYfB0QIWwmDCpYLuQxADAkL9gnRCLYHlQZ4BVgEOgMcAvwA4P+//qP9gvxn+0T6KvkF+O/2xfW39HzzdvOw9L716Pb+9yT5Pfpg+3v8nf25/tr/9QAVAjMDUgRxBY8GrwfKCO8JAws5DLwMnguJCmIJSwglBw0G6QTPA6wCkgFvAFX/Mv4Y/fX72/q4+Z34e/df9j/1HfQ08w30M/VR9m/3j/ir+c366PsK/SX+SP9hAIQBngLCA9sEAAYYBz4IVAl9Co8LtgxHDA8L/QnXCL0HmwZ/BV8EQQMiAgMB5//G/qr9iPxt+0r6MfkM+PX2zPW+9ILzcPOq9Lf14vb39x35Nvpa+3T8lv2y/tP/7wAPAiwDTARqBYgGqAfECOgJ/QoxDL8MpQuQCmkJUQgsBxQG7wTWA7ICmQF1AFz/Of4f/fz74fq/+aT4gvdm9kX1JfQ08wb0LfVK9mj3iPil+cb64vsE/R/+Qf9bAH4BmAK7A9UE+QURBzcITQl2CogLsgxPDBYLBArdCMQHogaGBWUESAMpAgoB7f/N/rD9j/x0+1H6N/kT+Pz20vXE9IjzavOj9LH12/bx9xf5L/pT+238kP2r/sz/6AAIAiUDRQRjBYIGoQe+COEJ9wopDMIMrQuWCnAJWAgzBxoG9gTdA7kCnwF8AGP/QP4l/QL86PrF+av4iPdt9kv1LfQ18/7zJ/VD9mL3gfie+b/62/v9/Bj+Ov9UAHcBkQK1A84E8gULBzEIRglwCoALrgxWDBwLCwrkCMsHqAaNBWwETwMvAhEB9P/U/rf9lvx6+1j6PvkZ+AL32fXL9I/zZfOc9Kr11fbq9xD5KPpM+2b8if2k/sb/4QACAh8DPwRcBXsGmge3CNoJ8QoiDMQMtAucCnYJXgg6ByEG/QTjA8ACpgGCAGr/Rv4s/Qn87/rM+bL4jvd09lL1NPQ28/bzIfU89lz3eviY+bj61fv2/BL+NP9OAHABiwKuA8cE7AUEByoIQAlqCnkLqQxdDCILEgrqCNIHrwaTBXIEVQM2AhgB+v/b/r39nfyB+1/6RPkg+An34PXR9JXzYPOV9KT1zvbj9wr5IvpG+2D8g/2d/r//2gD7ARgDOARVBXUGlAexCNMJ6woaDMYMvAuiCn0JZQhBBycGAwXqA8YCrAGJAHD/Tf4z/RD89vrS+bn4lfd79lj1PPQ48+7zG/U19lX3c/iS+bH6zvvv/Av+Lf9HAGkBhAKnA8EE5QX9BiMIOQljCnILpQxkDCgLGQrxCNkHtQaaBXkEXAM8Ah4BAADi/sT9pPyH+2b6S/kn+A/35/XY9JzzW/OO9J31x/bd9wP5G/o/+1n8fP2X/rn/0wD1AREDMgRPBW8GjQerCMsJ5QoSDMgMxAuoCoQJawhHBy4GCgXwA80CswGQAHf/U/46/Rb8/PrZ+b/4m/eC9l71RPQ68+bzFfUt9k/3bfiL+av6yPvo/AX+Jv9BAGMBfQKgA7oE3gX3Bh0IMgldCmsLoAxrDC8LIAr3COAHvAahBX8EYwNDAiUBBgDo/sr9q/yO+236Ufku+Bb37vXe9KPzV/OH9Jb1wPbW9/z4FPo5+1L8df2Q/rL/zQDuAQoDKwRIBWgGhgekCMQJ3woKDMoMywuuCowJcghOBzQGEQX3A9QCugGWAH3/Wv5A/R38A/vf+cb4oveJ9mT1TPQ8897zD/Um9kn3ZviF+aT6wfvi/P79H/86AFwBdwKaA7QE2AXwBhYILAlWCmQLmwxxDDULJwr9COYHwgaoBYYEagNJAiwBDADv/tH9sfyU+3P6WPk1+Bz39fXk9KrzUvOA9JD1uvbP9/b4Dvoy+0v8b/2J/qz/xgDoAQMDJQRBBWIGfweeCL0J2QoCDMsM0wu0CpMJeAhVBzsGGAX+A9sCwAGdAIT/Yf5H/SP8Cvvm+c34qPeQ9mr1U/Q+89fzCfUf9kL3X/h++Z36u/vb/Pj9GP80AFUBcAKTA60E0QXpBg8IJQlPCl0Llgx4DDwLLgoECe0HyQavBYwEcQNQAjMBEwD2/tf9uPyb+3r6Xvk8+CP3/PXq9LHzTvN49Ir1s/bJ9+/4B/or+0X8aP2C/qX/vwDhAfwCHgQ6BVsGeAeYCLYJ0wr7C8wM2wu7CpoJfghcB0EGHwUEBOECxwGkAIv/aP5O/Sr8Efvs+dT4r/eX9nD1W/RB88/zA/UY9jz3WPh4+Zb6tPvU/PH9Ef8tAE4BagKMA6YEygXjBgkIHglJClYLkAx+DEILNAoKCfQHzwa2BZMEeANWAjoBGQD9/t79v/yh+4H6ZflD+Cn3A/bx9LnzSvNx9IP1rPbC9+j4APol+z78Yv18/p//uADbAfYCGAQzBVUGcQeRCK8JzQrzC8wM4wvBCqEJhQhjB0gGJQULBOgCzgGrAJH/bv5U/TH8F/vz+dv4tfee9nf1YvRE88jz/fQR9jb3Ufhx+Y/6rvvN/Ov9C/8mAEcBYwKFA6AEwwXcBgIIGAlCClALigyEDEkLOwoRCfsH1ga8BZkEfgNdAkEBIAAE/+T9xvyn+4j6a/lK+C/3Cvb39MDzR/Nq9H31pfa89+H4+vke+zf8W/11/pj/sQDUAe8CEQQsBU4GageLCKgJxwrrC8wM6wvHCqgJiwhqB04GLAURBO8C1AGxAJj/df5b/Tf8Hvv6+eH4vPel9n31avRH88Dz9/QK9i/3Svhr+Yj6qPvG/OT9BP8gAEEBXQJ+A5kEvAXWBvsHEQk7CkkLhAyKDFALQgoYCQII3AbDBaAEhQNjAkcBJgAL/+v9zfyu+4/6cflR+Db3Efb99MfzRPNi9Hf1nva199v48/kX+zH8VP1u/pH/qwDOAegCCwQlBUgGYweFCKEJwQrjC8wM8wvNCq8JkQhxB1UGMwUYBPYC2wG4AJ//fP5i/T78JfsA+uj4wves9oP1cfRK87nz8fQD9in3Q/hl+YH6ofu//N79/f4ZADoBVgJ4A5MEtgXPBvQHCwk1CkILfgyQDFYLSQoeCQkI4wbKBaYEjANqAk4BLQAR//H91Py0+5b6ePlY+Dz3GPYD9c/zQfNb9HD1l/av99T47PkR+yr8Tv1o/ov/pADHAeECBAQfBUEGXAd+CJoJuwrbC8wM+gvTCrYJmAh4B1sGOgUeBPwC4QG/AKX/gv5o/UX8K/sH+u/4yfez9or1ePRO87Hz6/T89SP3PPhe+Xr6m/u4/Nf99v4TADMBUAJxA4wErwXJBu0HBAkuCjwLeAyWDF0LTwolCQ8I6QbRBa0EkwNwAlUBMwAY//j92/y7+536fvlf+EL3H/YJ9dfzPvNT9Gr1kPao98345vkK+yP8R/1h/oT/nQDAAdsC/gMYBTsGVQd4CJMJtQrTC8sMAgzZCr0Jngh/B2IGQQUlBAMD6AHGAKz/if5v/Uv8MvsO+vb4z/e69pD1gPRS86rz5PT19Rz3NfhY+XT6lPux/NH97/4MACwBSQJqA4YEqAXCBucH/ggnCjULcQybDGQLVgorCRYI8AbYBbMEmgN3AlwBOgAf//794fzB+6T6hflm+En3JvYP9d7zPPNM9GT1ivai98b43/kD+x38QP1a/n7/lwC6AdQC9wMRBTQGTgdyCIwJrwrMC8oMCgzfCsQJpAiFB2gGSAUrBAoD7gHMALL/kP51/VL8OfsU+vz41vfA9pb1h/RX86Pz3vTu9Rb3LvhR+W36jvur/Mr96P4GACUBQwJjA38EoQW8BuAH9wggCi8LawygDGsLXAoyCR0I9gbeBboEoAN9AmMBQQAm/wX+6PzI+6v6i/ls+E/3LfYV9ebzOvNE9F71g/ab98D42fn8+hb8Ov1U/nf/kACzAc0C8AMKBS4GRwdrCIUJqArEC8gMEgzlCssJqwiNB24GTwUyBBED9QHTALn/l/58/Vn8P/sb+gP53ffH9p31jvRb85zz2PTn9Q/3J/hL+Wb6h/uk/MT94v4AAB4BPAJcA3kEmgW1BtkH8QgZCigLZAylDHILYwo5CSMI/QblBcEEpwOEAmkBRwAt/wv+7/zO+7H6kflz+FX3NfYb9e7zOPM89Fj1fPaV97n40vn2+hD8M/1N/nD/iQCsAcYC6gMEBScGQQdlCH4Jogq8C8YMGgzrCtIJsQiTB3UGVQU4BBgD+wHaAL//nf6D/WD8Rvsi+gn54/fO9qP1lfRg85Xz0fTg9Qn3IPhE+V/6gfud/L392/76/xgBNgJVA3IElAWvBtIH6ggSCiILXQypDHkLagpACSoIBAfsBccErgOLAnABTgA0/xL+9vzV+7j6mPl6+Fz3PPYh9fbzNvM19FL1dPaO97L4zPnv+gn8LP1G/mn/gwCmAcAC4wP9BCEGOgdeCHcJnAq0C8QMIgzxCtoJtwiaB3sGXAU/BB4DAgLhAMb/pP6J/Wb8TPso+hD56vfU9qr1nPRl84/zy/TZ9QP3Gvg++Vj6evuW/Lf91P70/xEBLwJPA2wEjQWoBssH5AgLChwLVgyuDIALcApGCTEICgfyBc4EtQORAncBVAA6/xj+/fzb+7/6nvmB+GL3Q/Yn9f7zNfMt9Ez1bfaI96v4xfno+gP8Jv1A/mP/fACfAbkC3QP2BBoGMwdYCHAJlgqtC8IMKQz3CuEJvgihB4IGYwVFBCUDCALoAM3/q/6Q/W38U/sv+hf58ffb9rH1o/Rq84jzxPTS9fz2E/g3+VH6dPuP/LD9zf7t/woBKQJIA2UEhgWiBsQH3QgEChYLTwyyDIgLdgpNCTcIEQf5BdQEuwOYAn4BWwBB/x/+A/3i+8b6pfmI+Gj3SvYt9QX0NPMl9EX1ZvaC96T4v/nh+vz7H/05/lz/dQCZAbIC1gPvBBQGLAdSCGkJkAqlC78MMQz9CugJxAioB4gGagVMBCwDDwLvANP/sv6W/XT8Wvs2+h359/fi9rf1qvRw84LzvvTM9fb2DPgx+Ur6bfuI/Kr9xv7n/wMBIgJBA18EfwWbBr0H1wj9CQ8LRwy2DI8LfQpUCT4IGAcABtsEwgOeAoQBYQBI/yX+Cv3o+836q/mP+G73UfYz9Q30NPMd9D/1X/Z79534uPnb+vX7GP0y/lX/bwCSAawCzwPpBA0GJQdLCGIJiQqeC7wMOAwDC+8JygivB44GcQVSBDMDFQL1ANr/uf6d/Xv8YPs9+iT5/vfo9r71sPR283zzt/TF9e/2Bfgq+UT6Z/uC/KP9v/7g//wAHAI6A1kEeAWVBrYH0Qj2CQkLQAy5DJYLgwpbCUQIHwcGBuIEyQOlAosBaABP/yz+Ef3v+9T6svmW+HX3WPY59RX0NPMV9Dn1WPZ195b4svnU+u/7Ef0s/k//aACLAaUCyQPiBAYGHwdECFsJgwqWC7kMQAwJC/YJ0Qi2B5UGeAVYBDoDHAL8AOD/v/6j/YL8Z/tD+ir5Bfjv9sX1t/R883bzsPS+9ej2/vck+T36YPt7/J39uf7a//UAFQIzA1IEcQWPBq8HygjvCQMLOQy8DJ4LiQpiCUsIJQcNBukEzwOsApIBbgBV/zL+GP31+9v6uPmd+Hv3X/Y/9R30NPMN9DP1UfZv94/4q/nN+uj7Cv0l/kj/YgCEAZ4CwgPbBAAGGAc+CFQJfQqPC7YMRwwPC/0J1wi9B5sGfwVfBEEDIgIDAeb/xv6q/Yj8bftK+jH5DPj19sv1vvSC83DzqvS39eL2+Pcd+Tb6Wvt0/Jb9sv7T/+8ADwIsA0wEagWIBqgHxAjoCf0KMQy/DKULkAppCVEILAcUBu8E1gOyApgBdQBc/zn+H/38++H6v/mk+IL3ZvZF9SX0NPMG9C31SvZo94j4pfnG+uL7BP0f/kH/WwB+AZgCuwPVBPkFEQc3CE0JdgqIC7IMTwwVCwQK3QjEB6IGhgVlBEgDKQIKAe3/zf6w/Y/8dPtR+jf5E/j89tL1xPSI82rzo/Sx9dv28fcX+S/6U/tt/JD9q/7N/+gACAImA0UEYwWCBqEHvgjhCfcKKQzCDK0LlgpvCVgIMwcaBvYE3QO5Ap8BfABj/0D+Jf0C/Oj6xfmr+Ij3bfZL9S30NfP+8yf1Q/Zi94H4nvm/+tv7/fwY/jr/VAB3AZECtQPOBPIFCwcxCEYJcAqAC64MVgwcCwsK5AjLB6gGjAVsBE8DLwIRAfP/1P63/Zb8evtY+j75GfgC99n1y/SP82XznPSq9dX26vcQ+Sj6Tftm/In9pP7G/+EAAgIfAz8EXAV7BpsHtwjaCfEKIgzEDLQLnAp2CV4IOgchBv0E4wPAAqYBgwBp/0b+LP0J/O/6zPmy+I73dPZS9TT0NvP28yH1PPZc93r4mPm4+tX79vwS/jT/TgBwAYsCrgPHBOwFBAcqCEAJagp5C6kMXQwiCxIK6gjSB68GkwVyBFUDNgIXAfr/2/69/Z38gftf+kT5IPgJ9+D10fSV82DzlfSk9c724/cK+SL6Rvtg/IP9nf7A/9oA+wEYAzgEVQV1BpQHsQjTCesKGgzGDLwLogp9CWUIQAcnBgMF6gPGAqwBiQBw/03+M/0P/Pb60vm5+JX3e/ZY9Tz0OPPu8xv1NfZV93T4kvmx+s777/wL/i3/RwBpAYQCpwPBBOUF/QYjCDkJYwpyC6UMZAwoCxkK8AjZB7UGmgV5BFwDPAIeAQAA4v7E/aT8h/tm+kv5J/gP9+f12PSc81vzjvSd9cf23fcD+Rv6P/tZ/Hz9l/65/9MA9QERAzIETwVuBo0HqwjLCeUKEgzIDMQLqAqECWsIRwcuBgoF8APNArMBkAB3/1P+Ov0W/Pz62fm/+Jv3gvZe9UT0OvPm8xX1LvZP9234i/mr+sj76PwF/ib/QQBjAX0CoAO6BN4F9wYdCDIJXQprC6AMawwvCyAK9wjgB7wGoQV/BGMDQwIlAQYA6P7K/av8jvtt+lH5LvgW9+713vSj81fzh/SX9cH21vf8+BT6OftS/Hb9kP6y/80A7gEKAysESAVoBoYHpQjECd8KCgzKDMsLrgqLCXIITgc0BhEF9wPUAroBlwB9/1r+QP0d/AP73/nG+KL3ifZk9Uz0PPPf8w/1JvZJ92b4hfmk+sH74fz+/R//OgBcAXcCmgO0BNgF8AYWCCwJVgpkC5sMcQw1CycK/QjmB8IGqAWGBGoDSQIsAQwA7/7R/bH8lPtz+lj5Nfgc9/X15PSq81LzgPSQ9br2z/f2+A76MvtM/G/9if6s/8YA6AEDAyUEQQViBn8Hngi9CdkKAgzLDNMLtAqTCXgIVQc7BhgF/gPaAsABnQCE/2H+R/0j/Ar75vnN+Kj3kPZq9VP0PvPX8wn1H/ZC91/4fvmd+rv72/z4/Rj/MwBVAXACkwOtBNEF6QYPCCUJTwpdC5YMeAw8Cy4KBAntB8kGrwWMBHEDUAIzARMA9v7X/bj8m/t6+l75PPgi9/z16vSx807zePSK9bP2yffv+Af6K/tF/Gj9gv6l/78A4QH8Ah4EOgVbBngHmAi2CdMK+wvMDNsLugqaCX4IXAdBBh8FBAThAscBpACL/2f+Tv0q/BH77PnU+K/3l/Zw9Vv0QfPP8wP1GPY891j4ePmW+rT71Pzx/RL/LQBOAWoCjAOmBMoF4wYJCB4JSQpWC5AMfgxCCzQKCgn0B88GtgWTBHgDVgI6ARkA/f7e/b/8ofuB+mT5Q/gp9wP28fS580rzcfSD9az2wvfo+AD6Jfs+/GL9fP6f/7gA2wH2AhgEMwVVBnEHkgivCc0K8wvMDOMLwQqhCYUIYwdIBiUFCwToAs0BqwCR/27+VP0x/Bf78/nb+LX3nvZ39WL0RPPI8/30EfY291H4cfmP+q77zfzr/Qv/JgBHAWMChQOgBMMF3AYCCBgJQgpQC4oMhAxJCzsKEQn7B9YGvAWZBH4DXQJBASAABP/k/cb8p/uI+mv5Svgv9wr29/TA80fzavR99aX2vPfh+Pr5Hvs3/Fv9df6Y/7EA1AHvAhEELAVOBmoHiwioCccK6wvMDOsLxwqoCYsIagdOBiwFEQTvAtQBsQCY/3X+W/03/B77+vnh+Lz3pfZ99Wr0R/PA8/f0CvYv90r4a/mI+qj7xvzk/QT/IABBAV0CfgOZBLwF1gb7BxEJOwpJC4QMigxQC0IKGAkCCNwGwwWgBIUDYwJHASYAC//r/c38rvuP+nH5Ufg29xH2/fTH80TzYvR39Z72tffb+PP5F/sx/FT9bv6R/6sAzgHoAgsEJgVIBmMHhQihCcEK4wvMDPMLzQqvCZEIcQdVBjMFGAT2AtsBuACf/3z+Yv0+/CX7APro+ML3rPaD9XH0SvO58/H0A/Yp90P4ZfmB+qH7v/ze/f3+GgA6AVYCeAOTBLYFzwb0BwsJNQpCC34MkAxWC0kKHgkICOMGygWmBIwDagJOAS0AEf/x/dT8tPuW+nj5V/g89xj2A/XP80HzW/Rw9Zf2r/fU+O35Efsq/E79aP6L/6QAxwHhAgQEHwVBBlwHfwiaCbsK2wvMDPoL0wq2CZgIeAdbBjoFHgT8AuEBvwCl/4L+aP1F/Cv7B/rv+Mn3s/aK9Xj0TvOx8+v0/PUj9zz4Xvl6+pv7uPzX/fb+EwAzAVACcQOMBK8FyQbtBwQJLgo8C3gMlgxdC08KJQkPCOkG0QWtBJMDcAJVATMAGP/4/dv8u/ud+n75XvhC9x/2CfXX8z7zU/Rq9ZD2qPfN+Ob5Cvsj/Ef9Yf6E/50AwAHbAv4DGAU7BlUHeAiTCbUK0wvLDAIM2Qq9CZ4IfwdiBkEFJQQDA+gBxgCs/4n+b/1L/DL7Dfr1+M/3ufaQ9YD0UvOq8+T09fUc9zX4WPlz+pT7sfzR/e/+DQAsAUkCagOGBKgFwgbnB/4IJwo1C3EMmwxkC1YKKwkWCPAG2AW0BJkDdwJcAToAH//+/eH8wfuk+oX5ZfhJ9yb2D/Xe8zzzTPRk9Yr2ovfG+N/5A/sd/ED9Wv5+/5YAugHUAvcDEQU0Bk4HcgiMCa8KzAvKDAoM3wrECaQIhgdoBkgFKwQKA+4BzACy/5D+df1S/Dn7FPr8+Nb3wPaW9Yf0V/Oj89707vUW9y74Uflt+o77q/zK/en+BgAlAUMCYwN/BKEFvAbgB/cIIAovC2sMoAxrC1wKMgkdCPYG3gW6BKADfQJjAUEAJv8F/uj8yPuq+ov5bPhP9y32FfXm8zrzRPRe9YP2m/e/+Nn5/foW/Dr9VP53/5AAswHNAvADCgUuBkcHawiFCagKxAvIDBIM5QrLCasIjAduBk4FMgQRA/UB0wC5/5f+fP1Z/D/7G/oD+d33x/ad9Y70W/Oc89j05/UP9yf4S/lm+of7pPzE/eL+AAAeATwCXAN5BJoFtQbZB/EIGQopC2QMpQxyC2MKOQkjCP0G5QXBBKcDhAJpAUcALf8L/u/8zvux+pL5c/hV9zX2G/Xu8zjzPPRY9Xz2lfe5+NL59voQ/DP9Tf5w/4kArQHGAuoDBAUnBkEHZQh+CaIKvAvGDBoM6wrTCbEIkwd1BlUFOAQYA/sB2gC//53+gv1g/Eb7IvoJ+eP3zvaj9ZX0YPOV89H04PUJ9yD4RPlf+oH7nfy9/dv++v8YATYCVgNyBJMFrwbSB+oIEgoiC10MqQx5C2kKPwkqCAQH7AXHBK4DigJwAU4AM/8S/vb81fu4+pj5evhb9zz2IfX28zbzNfRS9XX2jvey+Mz57/oJ/Cz9Rv5p/4MApgHAAuMD/QQhBjoHXgh3CZwKtAvEDCEM8QraCbcImgd7BlwFPwQfAwIC4QDG/6T+if1m/Ez7KPoQ+er31Paq9Zz0ZfOP88v02fUD9xr4PvlY+nr7lvy3/dT+9P8RAS8CTwNsBI0FqAbLB+QICwocC1YMrgyAC3AKRgkxCAoH8gXOBLUDkQJ3AVQAOv8Y/v382/u/+p75gfhi90P2J/X+8zXzLfRM9W32iPer+MX56PoC/CX9QP5j/3wAnwG5At0D9gQaBjMHWAhwCZYKrQvCDCkM9wrhCb4IoQeCBmMFRQQlAwgC6ADM/6v+kP1t/FP7L/oX+fH32/ax9aP0avOI88T00/X89hP4OPlR+nT7j/yw/c3+7f8KASkCSANlBIYFogbEB94IBAoWC08MsgyIC3YKTQk3CBEH+QXVBLsDmAJ+AVsAQf8f/gT94vvG+qX5iPho90r2LfUF9DTzJfRF9Wb2gvek+L/54fr8+x/9Of5c/3UAmQGyAtYD7wQUBiwHUghpCZAKpQu/DDEM/QroCcQIqAeIBmoFTAQsAw8C7gDT/7L+lv10/Fr7Nvod+ff34va39ar0cPOC8770zPX29gz4MflK+m37ifyq/cb+5/8DASICQQNfBH8Fmwa9B9cI/QkPC0cMtgyPC30KVAk+CBgHAAbbBMIDngKEAWEASP8l/gr96PvN+qv5j/hu91H2M/UN9DTzHfQ/9V/2e/ed+Lj52/r1+xj9M/5V/28AkgGsAs8D6QQNBiUHSwhiCYkKngu8DDgMAwvvCcoIrweOBnEFUgQzAxUC9QDZ/7n+nf17/GD7Pfok+f736Pa+9bD0dvN887f0xfXv9gX4KvlE+mf7gvyj/b/+4P/8ABwCOgNZBHgFlQa2B9EI9gkJC0AMuQyWC4MKWwlECB8HBgbiBMkDpQKLAWgAT/8s/hH97/vU+rL5lvh191j2OfUV9DTzFfQ59Vj2dfeW+LL51Prv+xH9LP5P/2gAiwGlAskD4gQHBh8HRAhbCYMKlgu5DEAMCQv2CdEItgeVBngFWAQ6AxwC/ADg/7/+o/2C/Gf7RPoq+QX47/bF9bf0fPN287D0vvXp9v73JPk9+mD7e/yd/bn+2v/1ABUCMwNSBHEFjwavB8oI7wkDCzkMvAyeC4kKYglLCCUHDQbpBM8DrAKSAW8AVf8y/hj99fva+rj5nfh791/2P/Ud9DTzDfQz9VH2b/eP+Kv5zfro+wr9Jf5I/2EAhAGeAsID2wQABhgHPghUCX0Kjwu2DEcMDwv9CdcIvQebBn8FXwRBAyICAwHm/8b+qv2I/G37Svox+Qz49fbL9b70gvNw86r0t/Xi9vf3Hfk2+lr7dPyW/bL+0//vAA8CLANMBGoFiAaoB8QI6An9CjEMvwylC5AKaAlRCCwHEwbvBNYDsgKYAXUAXP85/h/9/Pvh+r/5pPiC92b2RfUl9DTzBvQt9Ur2aPeI+KX5xvri+wT9H/5B/1sAfgGYArsD1QT5BREHNwhNCXYKiAuyDE8MFQsECt0IxAeiBoYFZQRIAykCCgHt/83+sP2P/HT7Ufo3+RL4/PbS9cT0iPNq86P0sfXb9vH3F/kv+lP7bfyQ/av+zf/oAAgCJQNFBGMFggahB74I4Qn3CikMwgytC5YKbwlYCDMHGgb2BN0DuQKfAXwAY/9A/iX9Avzo+sX5q/iI9232S/Ut9DXz/vMn9UP2YveB+J75v/rb+/38GP46/1QAdwGRArUDzgTyBQsHMQhGCXAKgAuuDFYMHAsLCuQIyweoBo0FbAROAy8CEQHz/9T+t/2W/Hr7WPo++Rn4AvfZ9cv0jvNl85z0qvXV9ur3EPko+kz7ZvyJ/aT+xv/hAAICHwM/BFwFewabB7gI2gnxCiIMxAy0C5wKdgleCDoHIQb9BOMDwAKmAYIAaf9G/iz9Cfzv+sz5sviO93T2UvU09Dbz9vMh9Tz2XPd7+Jj5uPrV+/b8Ev40/04AcAGLAq4DxwTsBQQHKghACWoKeQuqDF0MIgsSCuoI0gevBpMFcgRVAzYCGAH6/9v+vf2d/IH7X/pE+SD4Cffg9dH0lfNg85X0pPXO9uP3Cvki+kb7YPyD/Z3+v//aAPsBGAM4BFYFdQaUB7EI0wnrChoMxgy8C6IKfQllCEAHJwYDBeoDxgKsAYkAcP9N/jP9EPz2+tL5ufiV93v2WPU89Djz7vMb9TX2Vfd0+JL5sfrO++/8C/4t/0cAaQGEAqcDwQTlBf0GIwg5CWMKcgulDGQMKAsZCvAI2Qe1BpoFeQRcAzwCHgEAAOL+xP2k/If7ZvpL+Sf4D/fn9dj0nPNb8470nfXH9t33A/kb+j/7Wfx8/Zf+uf/TAPUBEQMyBE8FbwaNB6sIzAnlChIMyAzEC6gKhAlrCEcHLgYKBfADzQKzAZAAd/9U/jr9Fvz9+tn5v/ib94L2XvVE9Drz5vMV9S72T/dt+Iv5q/rI++j8Bf4m/0EAYwF9AqADugTeBfcGHQgyCV0KawugDGsMLwsgCvcI4Ae8BqEFfwRjA0MCJQEGAOj+yv2r/I77bPpR+S74Fvfu9d70o/NX84f0l/XA9tb3/PgU+jn7Uvx2/ZD+sv/MAO4BCgMrBEgFaAaGB6UIxAnfCgoMygzLC64KiwlxCE4HNAYRBfcD1AK6AZYAff9a/kD9HfwD+9/5xvii94n2ZPVL9Dzz3/MP9Sb2Sfdm+IX5pPrB++L8/v0f/zoAXAF3ApoDtATYBfAGFggsCVYKZAubDHEMNQsnCv0I5gfCBqgFhgRqA0kCLAEMAO/+0f2x/JT7c/pY+TX4HPf19eT0qvNS84D0kPW69s/39vgO+jL7S/xv/Yn+rP/GAOgBAwMlBEEFYgZ/B54IvQnZCgIMywzTC7QKkgl4CFUHOwYYBf4D2wLAAZ0AhP9h/kf9I/wK++b5zfio95D2avVT9D7z1/MJ9R/2Qvdf+H75nfq7+9v8+P0Y/zQAVQFwApMDrQTRBekGDwglCU8KXQuWDHgMPAsuCgQJ7QfIBq8FjARxA1ACMwETAPb+1/24/Jr7evpe+Tz4Ivf89er0sfNO83j0ivWz9sn37/gH+iv7Rfxo/YL+pf+/AOEB/AIeBDoFWwZ4B5gItgnTCvsLzAzbC7sKmgl+CFwHQQYfBQQE4QLHAaQAi/9o/k79KvwR++z51Piu95f2cPVb9EHzz/MD9Rj2PPdY+Hj5lvq1+9T88f0R/y0ATgFqAowDpgTKBeMGCQgeCUkKVguQDH4MQgs0CgoJ9AfPBrYFkwR4A1YCOgEZAP3+3v2//KH7gfpl+UP4KfcD9vH0ufNK83H0g/Ws9sL36PgA+iX7Pvxi/Xz+n/+4ANsB9gIYBDMFVQZxB5IIrwnNCvMLzAzjC8EKoQmFCGMHSAYlBQsE6ALOAasAkf9u/lT9MfwX+/P52/i19572d/Vi9EPzyPP99BH2NvdR+HL5j/qu+8386/0L/ycARwFjAoUDoATDBdwGAggYCUIKUAuKDIQMSQs7ChEJ+wfWBrwFmQR+A10CQQEgAAT/5P3G/Kj7iPpr+Ur4L/cK9vf0wPNH82r0ffWl9rz34fj6+R77N/xb/XX+mP+xANQB7wIRBCwFTgZqB4sIqAnHCusLzAzrC8cKqAmLCGoHTgYsBREE7wLUAbEAmP91/lv9N/we+/r54fi896X2ffVq9EfzwPP39Ar2L/dK+Gv5iPqn+8b85P0E/yAAQQFdAn4DmQS9BdYG+wcRCTsKSQuEDIoMUAtCChcJAgjcBsMFoASFA2MCRwEmAAv/6/3N/K77j/px+VH4NvcR9v30yPNE82L0d/We9rX32/jz+Rf7MfxU/W7+kf+rAM0B6AILBCYFSAZjB4UIoQnBCuMLzAzzC80KrwmRCHEHVQYzBRgE9QLbAbgAn/98/mH9Pvwl+wD66PjC96z2g/Vx9ErzufPx9AP2KfdD+GX5gfqh+7/83v39/hkAOgFWAngDkwS2Bc8G9AcLCTQKQgt+DJAMVgtJCh4JCAjjBsoFpgSMA2oCTgEtABH/8f3U/LT7lvp4+Vf4PPcY9gP1z/NB81v0cPWY9q/31Pjt+RH7KvxO/Wf+i/+kAMcB4QIEBB8FQQZcB38Imgm7CtsLzAz6C9MKtgmYCHgHWwY6BR4E/ALhAb8Apf+C/mj9Rfwr+wf67/jJ97P2ivV49E7zsfPr9Pz1I/c8+F75evqb+7j81/32/hMAMwFQAnEDjASvBckG7gcECS4KPAt4DJYMXQtPCiUJDwjpBtEFrQSTA3ACVQEzABj/+P3b/Lv7nfp++V74Qvcf9gn11/M+81P0avWR9qj3zfjm+Qr7I/xH/WH+hP+dAMAB2wL9AxgFOwZVB3gIkwm1CtMLywwCDNkKvQmeCH8HYQZBBSUEAwPoAcYArP+J/m/9S/wy+w369vjP97n2kPWA9FLzqvPk9PX1HPc1+Fj5dPqU+7H80f3v/gwALAFJAmoDhgSoBcIG5wf+CCcKNQtxDJsMZAtWCisJFgjwBtcFtASaA3cCXAE6AB///v3h/MH7pPqF+WX4Sfcm9g/13vM880z0ZPWK9qL3xvjf+QP7HfxB/Vr+fv+XALoB1AL3AxEFNAZOB3IIjAmuCswLygwKDN8KxAmkCIUHaAZIBSsECgPuAcwAsv+Q/nX9Uvw5+xT6/PjW98D2lvWH9Ffzo/Pe9O71Fvcu+FH5bfqO+6v8yv3p/gYAJQFDAmMDfwShBbwG4Af3CCAKLwtrDKAMawtcCjIJHAj2Bt4FugSgA30CYwFBACb/Bf7o/Mj7q/qL+Wz4T/ct9hX15vM680T0XvWD9pv3wPjZ+fz6Fvw6/VP+d/+QALMBzQLwAwoFLgZHB2sIhQmoCsQLyAwSDOUKywmrCIwHbgZPBTIEEQP1AdMAuf+X/nz9Wfw/+xv6A/nc98f2nfWO9FvznPPY9Of1EPcn+Ev5ZvqH+6T8xP3i/gAAHwE8AlwDeQSaBbUG2QfxCBkKKQtkDKUMcgtjCjkJIwj9BuUFwQSnA4QCaQFHAC3/C/7v/M77sfqR+XP4Vfc09hv17vM48zz0WPV89pX3ufjS+fb6EPwz/U3+cP+JAKwBxgLqAwQFJwZBB2UIfgmiCrwLxgwaDOsK0gmxCJMHdQZVBTgEGAP7AdoAv/+d/oL9YPxG+yH6Cfnj9872o/WV9GDzlfPR9OD1Cfcg+ET5X/qB+538vf3b/vr/GAE2AlUDcgSTBa8G0gfqCBIKIgtdDKkMeQtpCj8JKggEB+wFxwSuA4oCcAFOADP/Ev72/NX7uPqY+Xr4W/c89iH19vM28zX0UvV19o73svjM+e/6Cfws/Ub+av+CAKYBwALjA/0EIQY6B14IdwmcCrQLxAwhDPEK2gm3CJoHewZcBT8EHwMCAuEAxv+k/on9ZvxM+yj6EPnq99T2qvWc9GXzj/PL9Nn1A/ca+D75WPp6+5b8t/3U/vT/EQEvAk8DbASNBagGywfkCAsKHAtWDK4MgAtwCkYJMQgKB/IFzgS1A5ECdwFUADr/GP79/Nv7v/qe+YH4YvdD9if1/vM18y30TPVu9oj3q/jF+ej6A/wm/UD+Y/98AJ8BuQLdA/YEGgYzB1gIcAmWCq0LwgwpDPcK4Qm+CKEHggZjBUUEJQMIAugAzf+r/o/9bfxT+y/6F/nx99v2sfWj9GrziPPE9NL1/PYT+Df5Ufp0+4/8sP3N/u3/CgEpAkgDZgSGBaIGxAfeCAQKFgtPDLIMhwt2Ck0JNwgRB/kF1QS7A5gCfgFbAEH/H/4D/eL7xvql+Yj4aPdK9i31BfQ08yX0RvVm9oL3pPi/+eH6/Psf/Tn+XP91AJgBsgLWA+8EFAYsB1IIaQmQCqULvwwxDP0K6AnECKgHiAZqBUsELAMPAu4A0/+y/pb9dPxZ+zb6Hfn39+L2t/Wp9HDzgvO+9Mz19vYM+DH5Svpt+4j8qv3G/uf/AwEiAkEDXwR/BZsGvQfXCP0JDwtHDLYMjwt9ClQJPggYBwAG2wTCA54ChAFhAEj/Jf4K/ej7zfqr+Y/4bvdR9jP1DfQ08x30P/Vf9nv3nfi4+dv69fsY/TL+Vf9uAJIBrALPA+kEDQYlB0sIYgmJCp4LvAw4DAML7wnKCK8HjwZxBVIEMwMVAvUA2v+5/p39e/xg+z36JPn+9+j2vvWw9HbzfPO39MX17/YF+Cr5RPpn+4L8o/2//uD//AAcAjoDWQR4BZUGtgfRCPYJCQtADLkMlguDClsJRAgeBwYG4gTJA6UCiwFoAE7/LP4R/e/71Pqy+Zb4dfdY9jn1FfQ08xX0OfVY9nX3lviy+dT67/sR/Sz+T/9oAIsBpQLJA+IEBwYfB0QIWwmDCpYLuQxADAkL9gnRCLYHlQZ4BVgEOgMcAvwA4P+//qP9gvxn+0T6KvkF+O/2xfW39HzzdvOw9L716fb+9yT5Pfpg+3v8nf25/tr/9QAVAjMDUgRxBY8GsAfKCO8JAws5DLwMnguJCmIJSwglBw0G6QTPA6sCkgFuAFX/Mv4Y/fX72/q4+Z34e/df9j/1HfQ08w30M/VR9m/3j/ir+c366PsK/SX+SP9hAIQBnwLCA9sEAAYYBz4IVAl9Co8LtgxHDA8L/QnXCL0HmwZ/BV8EQQMiAgMB5//G/qr9iPxt+0r6MfkM+PX2y/W+9ILzcPOq9Lf14vb39x35Nvpa+3T8lv2y/tP/7wAPAiwDTARqBYgGqQfECOgJ/QoxDL8MpQuQCmgJUQgsBxMG7wTWA7ICmAF1AFz/Of4f/fz74fq/+aT4gfdm9kX1JfQ08wb0LfVK9mj3iPil+cb64vsE/R/+Qf9bAH4BmAK7A9UE+QURBzcITQl2CogLsgxPDBULBArdCMQHogaGBWUESAMpAgoB7f/N/rD9j/x0+1H6N/kS+Pz20vXE9IjzavOj9LH12/bx9xf5L/pT+238kP2r/s3/6AAIAiYDRQRjBYIGoQe+COEJ9wopDMIMrQuWCm8JWAgzBxoG9gTdA7kCnwF8AGP/QP4l/QP86PrF+av4iPdt9kv1LfQ18/7zJ/VD9mL3gvie+b/62/v9/Bj+Ov9UAHcBkQK1A84E8wUKBzEIRglwCoALrgxWDBwLCwrkCMsHqAaMBWwETwMvAhEB9P/U/rf9lvx6+1j6PvkZ+AL32fXL9I/zZfOc9Kr11fbq9xD5KfpM+2b8if2k/sb/4QACAh8DPwRcBXsGmge4CNoJ8QoiDMQMtAucCnYJXgg6ByEG/QTjA78CpgGCAGr/Rv4s/Qn87/rM+bL4jvd09lH1NPQ28/bzIfU89lz3e/iY+bj61fv2/BL+NP9OAHABiwKuA8cE7AUEByoIQAlqCnkLqQxdDCILEgrqCNIHrwaTBXIEVQM2AhgB+v/b/r39nfyB+1/6RPkg+An34PXR9JXzYPOV9KT1zvbj9wr5IvpG+2D8g/2d/sD/2gD7ARgDOARWBXUGkwexCNMJ6woaDMYMvAuiCn0JZQhABycGBAXqA8YCrAGJAHD/Tf4z/RD89vrS+bn4lfd79lj1PPQ48+7zG/U19lX3dPiS+bL6zvvv/Av+Lf9HAGkBhAKnA8EE5QX9BiQIOQljCnILpQxkDCgLGQrwCNkHtQaaBXkEXAM8Ah8BAADh/sT9pPyH+2b6S/kn+A/35/XX9JzzW/OO9J31x/bd9wP5G/o/+1n8fP2X/rn/0wD1AREDMgRPBW8GjQerCMwJ5QoSDMgMxAuoCoQJawhHBy4GCgXwA80CswGQAHf/U/45/Rb8/PrZ+b/4m/eC9l71RPQ68+bzFfUu9k/3bfiL+av6yPvo/AX+Jv9BAGMBfgKgA7oE3gX3Bh0IMgldCmsLoAxrDC8LIAr3CN8HvAahBX8EYwNDAiUBBgDo/sr9q/yN+236Ufku+Bb37vXe9KPzV/OH9Jf1wfbW9/z4FPo5+1L8dv2Q/rL/zQDuAQoDKwRIBWgGhgelCMUJ3woKDMoMywuuCosJcghOBzQGEQX3A9QCugGWAH7/Wv5A/R38A/vf+cb4ofeJ9mT1TPQ889/zD/Um9kn3ZviF+aT6wfvh/P79H/86AFwBdwKaA7QE2AXwBhYILAlWCmQLmwxxDDULJwr9COYHwgaoBYYEagNJAiwBDADv/tH9sfyU+3P6WPk1+Bz39fXk9KrzUvOA9JD1uvbP9/b4Dvoy+0z8b/2J/qz/xgDoAQMDJQRBBWIGfweeCL0J2QoCDMsM0wu0CpIJeAhVBzsGGAX9A9sCwAGdAIT/Yf5H/SP8Cvvm+c34qPeQ9mr1U/Q+89fzCfUf9kP3X/h++Z36u/vb/Pj9Gf80AFUBcAKTA60E0QXpBg8IJQlPCl0Llgx4DDwLLgoECe0HyQavBYwEcQNQAjMBEwD2/tf9uPya+3r6Xvk8+CL3/PXq9LHzTvN49Ir1s/bJ9+/4B/or+0X8aP2C/qX/vwDhAf0CHgQ6BVsGeAeYCLYJ0wr7C8wM2wu6CpoJfghcB0EGHwUEBOECxwGkAIv/Z/5N/Sr8Efvs+dT4rveX9nD1W/RB88/zA/UY9jz3WPh4+Zb6tfvU/PH9Ev8tAE4BagKMA6cEygXjBgkIHglJClYLkAx+DEILNAoKCfQHzwa1BZMEeANWAjoBGQD9/t79v/yh+4H6ZPlD+Cn3A/bx9LnzSvNx9IP1rPbC9+j4APol+z78Yv18/p//uADbAfYCGAQzBVUGcQeSCK8JzQrzC8wM4wvBCqEJhQhjB0gGJQULBOgCzQGrAJH/bv5U/TH8F/vz+dv4tfee9nf1YvRD88jz/fQR9jb3Ufhx+Y/6rvvN/Ov9C/8nAEgBYwKFA6AEwwXcBgIIGAlCClALigyEDEkLOwoRCfsH1ga8BZkEfgNdAkEBIAAE/+T9xvyn+4j6a/lK+C/3Cvb39MDzR/Nq9H31pfa89+L4+vke+zf8W/11/pj/sQDUAe8CEQQsBU4GageLCKgJxwrrC8wM6wvHCqgJiwhqB04GLAURBO8C1AGxAJj/df5b/Tf8Hvv6+eH4u/el9n31avRH88Dz9/QK9i/3Svhr+Yj6qPvG/OT9BP8gAEEBXQJ+A5oEvAXWBvsHEQk7CkkLhAyKDFALQgoXCQII3AbDBaAEhQNjAkcBJgAK/+v9zfyu+4/6cflR+DX3Efb99MfzRPNi9Hf1n/a199v48/kX+zH8VP1u/pL/qwDOAegCCwQmBUgGYweFCKEJwQrjC8wM8wvNCq8JkQhxB1UGMwUYBPYC2wG4AJ//fP5h/T78JfsA+uj4wves9oP1cfRK87nz8fQD9in3Q/hl+YH6ofu//N79/f4aADoBVgJ4A5MEtgXPBvQHCwk1CkILfgyQDFYLSQoeCQgI4wbKBaYEjANqAk4BLQAR//H91Py1+5b6ePlY+Dz3GPYD9c/zQfNb9HD1mPav99T47fkR+yr8Tv1n/ov/pADHAeECBAQfBUIGXAd/CJoJuwrbC8wM+gvTCrYJmAh4B1sGOgUeBPwC4QG/AKX/gv5o/UX8K/sH+u/4yfez9on1ePRO87Hz6/T89SP3PPhe+Xr6mvu4/Nf99v4TADMBUAJxA4wErwXJBu4HBAkuCjwLeAyWDF0LTwolCQ8I6QbRBa0EkwNwAlUBMwAY//j92vy7+536fvlf+EL3H/YJ9dfzPvNT9Gr1kfao98345vkK+yT8R/1h/oT/nQDAAdsC/gMYBTsGVQd4CJMJtQrTC8sMAgzZCr0Jngh+B2IGQQUlBAMD6AHFAKz/if5v/Uv8MvsO+vX4z/e59pD1f/RS86rz5PT19Rz3NfhY+XT6lPuy/NH97/4NACwBSQJqA4YEqAXCBucH/ggnCjULcgybDGQLVgorCRYI8AbXBbQEmQN3AlwBOgAf//794fzB+6T6hflm+Ej3JvYP9d7zPPNM9GT1ivai98b43/kD+x38QP1a/n7/lgC6AdQC9wMRBTUGTgdyCIwJrwrMC8oMCgzfCsQJpAiFB2gGSAUrBAoD7gHMALL/kP51/VL8OfsU+vz41vfA9pb1h/RW86Pz3vTu9Rb3LvhR+W36jvur/Mr96P4GACUBQwJjA4AEoQW8BuAH9wggCi8LawygDGsLXAoyCR0I9gbeBboEoAN9AmMBQAAm/wX+6PzI+6r6i/ls+E/3LfYV9ebzOvNE9F71g/ab98D42fn9+hb8Ov1U/nf/kACzAc0C8AMKBS4GRwdrCIUJqArEC8gMEgzlCssJqwiMB24GTgUyBBED9QHTALn/l/58/Vn8P/sb+gP53PfH9p31jvRb85zz2PTn9RD3J/hL+Wb6h/uk/MT94v4AAB8BPAJcA3kEmgW1BtkH8QgZCikLZAylDHILYwo5CSMI/QblBcEEpwOEAmkBRwAt/wv+7/zO+7H6kflz+FX3NPYb9e7zOPM89Fj1fPaV97n40vn2+hD8M/1N/nD/iQCtAccC6gMEBScGQQdlCH4Jogq8C8cMGgzrCtIJsQiTB3UGVQU4BBgD+wHaAL//nf6D/WD8Rvsi+gn54/fO9qP1lfRg85Xz0fTg9Qn3IPhE+V/6gfud/L392/76/xgBNgJWA3MEkwWvBtIH6ggSCiILXQypDHkLaQo/CSoIBAfsBccErgOLAnABTQA0/xL+9vzV+7j6mPl6+Fv3O/Yh9fbzNvM19FL1dfaP97L4zPnv+gn8LP1G/mr/ggCmAcAC4wP9BCEGOgdfCHcJnAq1C8QMIQzxCtkJtwiaB3sGXAU+BB8DAgLhAMb/pP6J/Wb8TPso+hD56vfU9qr1nPRl84/zy/TZ9QP3Gvg++Vj6evuW/Lf91P70/xEBLwJPA2wEjQWoBssH5AgLChwLVgyuDIALcApGCTAICgfyBc4EtAORAncBVAA6/xj+/fzb+7/6nvmB+GL3Q/Yn9f7zNfMt9Ez1bfaI96v4xfno+gP8Jf1A/mP/fACfAbkC3QP2BBoGMwdYCHAJlgqtC8IMKQz3CuEJvgihB4IGYwVFBCUDCALoAMz/q/6Q/W38U/sv+hf58Pfb9rD1o/Rq84jzxPTT9fz2E/g4+VH6dPuP/LD9zf7t/woBKQJIA2UEhgWiBsQH3ggEChYLTwyyDIgLdgpNCTcIEQf5BdUEuwOYAn4BWwBB/x/+A/3i+8b6pfmI+Gj3SvYt9QX0NPMl9Eb1ZvaC96T4v/nh+vz7H/05/lz/dQCZAbMC1gPvBBQGLAdSCGkJkAqlC78MMQz9CugJxAioB4gGagVMBCwDDwLvANP/sv6W/XT8Wfs2+h359/fi9rf1qvRw84LzvvTM9fb2DPgx+Uv6bfuJ/Kr9xv7n/wMBIgJBA18EfwWcBr0H1wj9CQ8LSAy2DI8LfQpUCT4IGAcABtsEwgOeAoQBYQBI/yX+Cv3o+836q/mP+G73UfYz9Q30NPMd9D/1X/Z79534uPnb+vb7GP0z/lb/bwCSAawCzwPpBA0GJQdLCGIJiQqeC7wMOAwDC+8JygivB44GcQVSBDMDFQL1ANn/uP6d/Xv8YPs9+iT5/vfo9r71sPR283zzt/TF9e/2Bfgr+UT6Z/uC/KT9v/7g//wAHAI6A1gEeAWVBrYH0Qj2CQkLQAy5DJYLgwpbCUQIHgcGBuIEyQOlAosBaABP/yz+Ef3v+9T6svmW+HX3WPY59RX0NPMV9Dn1WPZ195b4svnU+u/7Ef0s/k//aACLAaUCyQPiBAYGHwdFCFsJgwqXC7kMQAwJC/YJ0Qi2B5UGeAVZBDoDHAL8AOD/v/6j/YH8Z/tE+ir5Bfjv9sX1t/R883bzsPS+9en2/vck+T36YPt7/J39uf7a//UAFQIzA1IEcQWPBq8HywjvCQMLOQy8DJ4LiQphCUsIJQcNBukEzwOsApIBbgBV/zL+GP31+9r6uPmd+Hv3X/Y/9R30NPMN9DP1UfZv94/4q/nN+uj7Cv0l/kj/YQCFAZ4CwgPbBAAGGAc+CFQJfQqPC7YMRwwPC/0J1wi9B5sGfwVfBEEDIgIDAeb/xv6q/Yj8bftK+jH5DPj19sv1vvSC83DzqvS39eL2+Pcd+Tb6Wvt0/Jf9sv7T/+4ADwIsA0wEagWIBqgHxAjoCf0KMQy/DKULkAppCVEILAcUBu8E1gOyApgBdQBc/zn+Hv38++H6vvmk+IH3ZvZF9SX0NPMG9C31SvZo94n4pfnG+uL7BP0f/kH/WwB+AZgCuwPVBPkFEQc4CE0JdwqIC7IMTwwWCwQK3QjEB6IGhgVlBEgDKQIKAe3/zf6w/Y/8c/tR+jf5E/j89tL1xPSI82vzo/Sx9dv28fcX+S/6U/tt/JD9q/7N/+gACAImA0UEYwWCBqEHvgjhCfcKKQzCDK0LlgpvCVgIMwcaBvYE3AO5Ap8BfABj/0D+Jf0C/Oj6xfmr+Ij3bfZL9S30NfP+8yf1Q/Zi94L4nvm/+tv7/fwY/jr/VAB3AZECtQPOBPIFCwcxCEcJcAqBC64MVgwcCwsK5AjLB6gGjAVsBE4DLwIRAfP/1P63/Zb8evtY+j75GfgC99n1y/SO82XznPSq9dX26vcQ+Sn6TPtn/In9pP7G/+EAAgIfAz8EXAV7BpoHuAjaCfEKIgzEDLQLnAp2CV4IOgchBv0E4wPAAqYBggBp/0b+LP0J/O/6zPmy+I73dPZR9TT0NvP28yH1PPZc93v4mPm4+tX79vwS/jP/TgBwAYoCrgPIBOwFBAcqCEAJagp5C6oMXQwiCxIK6gjSB68GkwVyBFUDNgIYAfr/2/69/Z38gftf+kT5IPgJ9+D10fSV82DzlfSk9c724/cK+SL6Rvtg/IP9nf7A/9oA+wEYAzgEVgV1BpQHsQjTCesKGgzGDLwLogp9CWUIQAcnBgMF6gPGAqwBiQBw/03+M/0Q/Pb60vm5+JX3e/ZY9Tz0OPPu8xv1NfZV93T4kvmy+s777/wL/i3/RwBqAYQCpwPBBOUF/QYkCDkJYwpyC6UMZAwoCxkK8AjZB7UGmgV5BFwDPAIeAQAA4f7E/aT8h/tm+kv5J/gP9+f11/Sc81vzjvSd9cf23fcD+Rv6P/tZ/Hz9l/65/9MA9QERAzIETwVvBo0HqwjMCeUKEgzIDMQLqAqECWsIRwcuBgoF8APNArMBkAB3/1P+Ov0W/Pz62fm/+Jv3gvZe9UT0OvPm8xX1LvZP9234i/mr+sj76PwF/ib/QQBjAX0CoAO6BN4F9wYdCDIJXQprC6AMawwvCyAK9wjgB7wGoQV/BGMDQgIlAQYA6f7K/ar8jvtt+lH5LvgW9+713vSj81fzh/SX9cH21vf8+BT6OftS/HX9kP6z/8wA7gEKAysESAVoBoYHpQjECd8KCgzKDMsLrgqLCXEITgc0BhEF9wPUAroBlgB9/1r+QP0d/AP73/nG+KH3ifZk9Uv0PPPf8w/1JvZJ92b4hfmk+sH74vz+/R//OgBcAXcCmgO0BNgF8AYWCCwJVgpkC5sMcQw1CycK/QjmB8IGqAWGBGoDSQIsAQwA7/7R/bH8lPtz+lf5Nfgc9/X15PSq81LzgPSQ9br2z/f2+A76MvtM/G/9if6s/8YA6AEDAyUEQQViBn8Hngi9CdkKAwzLDNMLtAqSCXgIVQc7BhgF/QPaAsABnQCE/2H+R/0j/Ar75vnN+Kj3kPZq9VP0PvPX8wn1H/ZD91/4fvmd+rv72/z4/Rj/NABVAXACkwOtBNEF6QYPCCUJTwpdC5YMeAw8Cy4KBAntB8kGrwWMBHEDTwIzARMA9v7X/bj8m/t6+l75PPgi9/z16vSx807zefSK9bP2yffv+Af6K/tF/Gj9gv6l/78A4QH9Ah4EOgVbBngHmAi2CdMK+wvMDNsLugqZCX4IXAdBBh8FBAThAscBpACL/2f+Tv0q/BH77PnU+K73l/Zw9Vv0QfPP8wP1GPY891j4ePmW+rT71Pzx/RH/LQBOAWoCjAOnBMoF4wYJCB4JSQpXC5AMfgxCCzQKCgn0B88GtQWTBHcDVgI6ARkA/f7e/b/8ofuB+mT5Q/gp9wP28PS580rzcfSD9az2wvfo+AD6Jfs+/GL9fP6f/7gA2wH2AhgEMwVVBnEHkgivCc0K8wvMDOMLwAqhCYUIYwdIBiUFCgToAs0BqwCR/27+VP0x/Bf78/nb+LX3nvZ29WL0Q/PI8/30EfY291H4cvmP+q77zfzr/Qv/JwBIAWMChQOgBMMF3AYCCBgJQgpQC4oMhAxJCzsKEQn7B9UGvAWZBH4DXQJBASAABP/k/cb8qPuI+mv5Svgv9wr29/TA80fzavR99aX2vPfi+Pr5Hvs4/Fv9df6Y/7EA1AHvAhEELAVOBmoHiwioCccK6wvMDOsLxgqoCYsIagdOBiwFEQTvAtQBsQCY/3X+W/03/B77+vnh+Lv3pfZ99Wr0R/PA8/f0CvYw90r4a/mI+qf7xvzk/QT/IABBAV0CfwOZBL0F1gb7BxEJOwpJC4UMigxQC0IKFwkCCNwGwwWgBIUDYwJHASYAC//r/c38rvuP+nH5Ufg19xH2/fTH80TzYvR39Z72tffb+PP5GPsx/FT9bv6S/6sAzgHoAgsEJgVIBmMHhQihCcEK4wvMDPILzAqvCZEIcQdVBjMFGAT2AtsBuACf/3v+Yv0+/CX7APro+ML3rPaD9XH0SvO58/H0A/Yp90P4ZfmB+qH7v/ze/f3+GgA6AVYCeAOTBLYFzwb0BwsJNQpCC34MkAxWC0kKHgkICOMGygWmBIwDagJOAS0AEv/x/dP8tPuW+nj5WPg89xj2A/XP80HzW/Rx9Zj2r/fU+Oz5Efsq/E79aP6L/6QAxwHhAgQEHwVBBlwHfwiaCbsK2wvMDPoL0wq2CZgIeAdbBjoFHgT8AuEBvwCl/4L+aP1F/Cv7B/rv+Mn3s/aJ9Xj0TvOx8+v0/PUj9zz4Xvl7+pv7ufzX/fb+EwAzAVACcQOMBK8FyQbtBwQJLgo8C3gMlgxdC08KJAkPCOkG0QWtBJMDcAJVATMAGP/4/dr8u/ud+n75XvhC9x/2CfXX8z7zU/Rq9ZH2qPfN+Ob5Cvsk/Ef9Yf6E/50AwQHbAv4DGAU7BlUHeAiTCbUK0wvLDAIM2Qq9CZ4IfwdiBkEFJQQDA+gBxgCs/4n+b/1L/DL7Dfr1+M/3ufaQ9YD0UvOq8+T09fUd9zX4WPl0+pT7svzR/e/+DQAsAUkCagOGBKgFwgbnB/4IJwo1C3EMmwxkC1YKKwkWCPAG2AWzBJkDdwJcAToAH//+/eH8wfuj+oT5ZfhI9yb2D/Xe8zzzTPRk9Yr2ovfH+N/5A/sd/ED9Wv59/5YAugHUAvcDEQU0Bk4HcgiMCa8KzAvKDAoM3wrECaQIhgdoBkgFKwQKA+4BzACy/5D+df1S/Dn7FPr8+Nb3wPaW9Yf0VvOj89707vUW9y74Uflt+o77q/zK/ej+BgAlAUMCYwN/BKEFvAbgB/cIIAovC2sMoAxrC1wKMgkdCPYG3gW6BKADfQJjAUAAJv8F/uj8yPuq+ov5bPhP9y32FfXm8zrzRPRe9YP2m/fA+Nn5/foW/Dr9VP53/5AAswHNAvADCgUuBkgHawiFCagKxAvIDBIM5QrLCaoIjAduBk4FMgQRA/UB0wC5/5b+fP1Z/D/7G/oD+dz3x/ad9Y70W/Oc89j05/UQ9yf4S/lm+of7pPzE/eL+AAAeATwCXAN5BJoFtQbZB/EIGQooC2QMpQxyC2MKOQkjCP0G5QXBBKcDhAJpAUcALf8L/u/8zvux+pL5c/hV9zT2G/Xu8zjzPPRY9Xz2lfe5+NL59voQ/DP9Tf5w/4kArQHGAuoDBAUnBkEHZQh+CaIKvAvGDBoM6wrSCbEIkwd1BlUFOAQYA/sB2gC//53+g/1g/Eb7IvoJ+eP3zvaj9ZX0YPOV89H04PUJ9yD4Rflf+oH7nfy9/dv++v8XATYCVgNyBJQFrwbSB+oIEgoiC10MqQx5C2kKPwkqCAQH7AXHBK4DiwJwAU0ANP8S/vb81fu4+pj5evhb9zz2IfX28zbzNfRS9XT2j/ey+Mz57/oJ/Cz9Rv5p/4MApgHAAuMD/QQhBjoHXwh3CZwKtQvEDCEM8QraCbcImgd7BlwFPwQeAwIC4QDG/6T+if1m/E37KPoQ+er31Paq9Zz0ZfOP88v02vUD9xr4PvlY+nr7lvy3/dT+9P8RAS8CTwNsBI0FqAbLB+QICwocC1YMrgyAC3AKRgkwCAoH8gXOBLQDkQJ3AVQAOv8Y/v382/u/+p75gfhi90P2J/X98zXzLfRM9W72iPer+MX56PoC/Cb9QP5j/3wAnwG5At0D9gQaBjMHWAhwCZYKrQvCDCkM9wrhCb0IoQeCBmMFRQQlAwgC6ADM/6v+kP1t/FP7L/oX+fH32/aw9aP0avOI88T00/X89hP4OPlR+nT7j/yw/c3+7f8KASkCSANlBIYFogbEB94IBAoWC08MsgyHC3YKTQk3CBEH+QXVBLsDmAJ+AVsAQf8f/gT94vvG+qX5iPho90r2LfUF9DTzJfRG9Wb2gvek+L/54fr8+x/9Of5c/3UAmQGyAtYD8AQUBiwHUghpCZAKpQu/DDEM/QroCcQIqAeIBmoFTAQsAw8C7wDT/7L+lv10/Fr7Nvod+ff34va39an0cPOC8770zPX29gz4MflK+m37ifyq/cb+5/8DASICQQNfBH8FnAa9B9cI/QkPC0gMtgyPC30KVAk+CBgHAAbbBMIDngKEAWEASP8l/gr96PvN+qv5j/hu91H2M/UN9DTzHfRA9V/2fPed+Lj52/r1+xj9M/5V/28AkgGsAs8D6QQNBiYHSwhiCYkKngu8DDgMAwvvCcoIrweOBnEFUgQzAxUC9QDZ/7n+nf17/GD7Pfok+f736Pa+9bD0dvN887f0xfXv9gX4K/lE+mf7gvyj/b/+4P/8ABwCOgNZBHgFlQa2B9EI9gkJC0AMuQyWC4MKWwlECB4HBgbiBMgDpQKLAWgAT/8s/hH97/vU+rL5lvh191j2OfUV9DTzFfQ69Vj2dfeW+LL51Prv+xH9LP5P/2gAiwGlAskD4gQGBh8HRQhbCYMKlgu5DEAMCQv2CdAItgeVBngFWQQ6AxwC/ADg/8D+o/2B/Gf7Q/oq+QX47/bF9bf0fPN287H0vvXo9v73JPk9+mD7e/yd/bn+2v/1ABUCMwNSBHEFjwavB8sI7wkDCzkMvAyeC4kKYglLCCUHDQboBM8DrAKSAW8AVf8y/hj99fva+rj5nfh791/2P/Ud9DTzDvQz9VH2b/eP+Kv5zfro+wr9Jf5I/2EAhQGeAsID2wQABhgHPghUCX0Kjwu2DEcMDwv9CdcIvQebBn8FXwRBAyICAwHm/8b+qv2I/G37Svox+Qz49fbL9b70gvNw86r0uPXi9vj3Hfk2+lr7dPyW/bL+0//vAA8CLQNMBGoFiAapB8QI6An9CjEMvwylC48KaAlRCCwHEwbvBNYDsgKYAXUAXP85/h/9/Pvh+r/5pPiB92b2RfUl9DTzBvQt9Ur2aPeI+KX5xvri+wT9H/5B/1sAfgGYArsD1QT5BREHNwhNCXcKiAuyDE8MFQsECt0IxAeiBoUFZQRIAykCCgHt/83+sP2P/HT7Ufo3+RL4/PbS9cT0iPNr86P0sfXb9vH3F/kv+lP7bfyQ/av+zf/oAAgCJgNFBGMFggaiB74I4Qn3CikMwgytC5YKbwlYCDMHGgb2BN0DuQKfAXwAY/8//iX9Avzo+sX5q/iI9232S/Ut9DXz/vMn9UP2YveB+J/5v/rb+/38GP46/1QAdwGRArUDzgTyBQsHMQhHCXAKgAuuDFYMHAsLCuQIyweoBo0FbAROAy8CEQHz/9T+t/2W/Hr7WPo++Rn4AvfZ9cv0jvNl85z0qvXV9ur3EPkp+k37Z/yJ/aT+xv/hAAICHwM/BF0FewabB7gI2gnxCiIMxAy0C5wKdgleCDkHIQb9BOMDwAKmAYIAaf9G/iz9Cfzv+sz5sviO93T2UfU09Dbz9vMh9Tz2XPd6+Jj5uPrV+/b8Ev40/04AcAGLAq4DxwTsBQQHKghACWoKeQuqDF0MIgsSCuoI0geuBpMFcgRVAzYCGAH6/9v+vf2d/IH7X/pE+SD4Cffg9dH0lfNg85X0pPXO9uP3Cvki+kb7YPyD/Z7+wP/aAPsBGAM4BFYFdQaUB7EI0wnrChoMxgy8C6IKfQllCEEHJwYDBeoDxgKsAYkAcP9N/jP9D/z2+tL5uPiU93v2V/U89Djz7vMb9TX2Vvd0+JL5svrO++/8C/4t/0cAaQGEAqcDwQTlBf0GIwg5CWMKcgulDGQMKAsZCvAI2Qe1BpoFeQRcAzwCHgEAAOL+xP2k/If7ZvpL+Sf4D/fn9df0nPNb8470nfXH9t33A/kb+j/7Wfx8/Zf+uf/TAPUBEQMyBE8FbgaNB6sIzAnlChIMyAzEC6gKhAlrCEcHLgYKBfADzQKzAZAAd/9T/jr9Fvz8+tn5v/ib94L2XvVE9Dnz5vMV9S72T/dt+Iv5q/rI++j8Bf4m/0EAYgF9AqADugTeBfcGHQgyCV0KawugDGsMLwsgCvcI4Ae7BqEFfwRjA0MCJQEGAOn+yv2q/I77bPpR+S74Fffu9d70o/NX84f0l/XB9tb3/PgU+jn7Uvx2/ZD+sv/NAO4BCgMrBEgFaAaGB6UIxQnfCgoMygzLC64KiwlxCE4HNAYRBfcD1AK6AZYAff9a/kD9HfwD+9/5xvih94n2ZPVL9Dzz3/MP9Sf2Sfdm+IX5pPrB++L8/v0f/zoAXAF3ApoDtATYBfAGFggsCVYKZAubDHEMNQsnCv0I5gfCBqgFhgRqA0kCLAEMAO/+0f2x/JT7c/pY+TX4HPf19eT0qvNS84D0kPW69tD39vgO+jL7TPxv/Yn+rP/GAOgBAwMlBEEFYgZ/B54IvQnZCgMMywzTC7QKkwl4CFUHOwYYBf4D2gLAAZ0AhP9h/kf9I/wK++b5zfio95D2avVT9D7z1/MJ9R/2Q/df+H75nfq7+9v8+P0Y/zQAVQFwApMDrQTRBeoGDwglCVAKXQuWDHgMPAstCgQJ7QfIBq8FjARxA1ACMwETAPb+1/24/Jv7evpe+Tz4Ivf89er0sfNO83n0ivWz9sn37/gH+iz7Rfxo/YP+pf+/AOEB/AIeBDoFWwZ4B5gItgnTCvsLzAzbC7sKmQl+CFwHQQYeBQQE4QLHAaQAi/9n/k79KvwR++z51Piu95f2cPVb9EHzz/MD9Rj2PPdY+Hj5lvq0+9T88f0S/y0ATgFqAowDpgTKBeMGCQgeCUkKVguQDH4MQgs0CgoJ9AfPBrYFkwR3A1YCOgEZAP3+3v2//KH7gfpl+UP4KfcD9vH0uPNK83H0g/Ws9sL36PgA+iX7Pvxi/Xz+n/+4ANsB9gIYBDMFVQZxB5IIrwnNCvMLzAzjC8EKoQmFCGMHSAYlBQsE6ALNAasAkf9u/lT9MfwX+/P52vi19572dvVi9EPzyPP99BH2NvdR+HL5j/qu+8386/0L/ycARwFjAoUDoATDBdwGAggYCUIKUAuKDIQMSQs7ChEJ+wfVBrwFmQR+A10CQQEgAAT/5P3G/Kf7iPpr+Ur4L/cK9vf0wPNH82r0ffWl9rz34vj6+R77N/xb/XX+mP+xANQB7wIRBCwFTgZqB4sIqAnHCusLzAzrC8cKqAmLCGoHTgYsBREE7wLUAbEAmP91/lv9N/we+/r54fi796X2ffVp9EfzwPP39Ar2MPdK+Gv5iPqn+8b85P0E/yAAQQFdAn8DmQS9BdYG+wcRCTsKSQuEDIoMTwtCChcJAgjcBsMFoASFA2MCRwEmAAv/6/3N/K77j/px+VH4NfcR9v30x/NE82L0d/We9rX32/jz+Rj7MfxU/W7+kf+rAM4B6AILBCYFSAZjB4UIoQnBCuMLzAzyC80KrwmRCHEHVQYzBRgE9QLaAbgAnv98/mL9Pvwl+wD66PjC96z2g/Vx9ErzufPx9AP2KfdD+GX5gfqh+7/83v39/hoAOgFWAngDkwS2Bc8G9AcLCTUKQwt+DJAMVgtICh4JCAjiBsoFpgSMA2oCTgEtABH/8f3U/LT7lvp4+Vj4PPcY9gP1z/NB81v0cPWY9q/31Pjt+RH7KvxO/Wj+i/+kAMcB4QIEBB8FQQZcB38Imgm7CtsLzAz6C9MKtgmXCHgHWwY6BR4E/ALhAb8Apf+D/mj9Rfwr+wf67/jJ97P2ifV49E7zsvPr9Pz1I/c8+F75evqb+7n81/32/hMAMwFQAnEDjASvBckG7QcECS4KPAt4DJUMXQtPCiUJDwjpBtEFrQSTA3ACVQE0ABj/9/3b/Lv7nfp++V74Qvcf9gn11/M+81P0avWR9qj3zfjm+Qr7I/xH/WH+hP+dAMAB2wL+AxgFOwZVB3gIkwm1CtMLywwCDNkKvQmeCH8HYgZBBSUEAwPoAcYArP+J/m/9S/wy+w369fjP97n2kPWA9FLzqvPk9PX1HPc1+Fj5dPqU+7L80f3v/g0ALAFJAmoDhgSoBcIG5wf+CCcKNQtyDJsMZAtWCisJFgjwBtcFswSZA3cCXAE6AB///v3h/MH7o/qF+WX4SPcm9g/13vM880z0ZPWK9qL3xvjf+QP7HfxB/Vr+fv+XALoB1AL3AxEFNAZOB3IIjAmvCswLygwKDN8KxAmkCIUHaAZHBSsECgPuAcwAsv+Q/nX9Uvw5+xT6/PjW98D2lvWH9Fbzo/Pe9O71Fvcu+FH5bfqO+6v8yv3p/gYAJQFDAmMDfwShBbwG4Af3CCAKLwtrDKAMawtcCjIJHQj2Bt4FugSgA30CYgFBACb/Bf7o/Mj7qvqL+Wz4T/ct9hX15vM680T0XvWD9pz3wPjZ+f36Fvw6/VT+d/+QALMBzQLxAwoFLgZIB2sIhQmoCsQLyAwSDOUKywmqCIwHbgZOBTIEEQP1AdMAuf+X/nz9Wfw/+xv6A/nc98f2nfWO9FvznPPY9Of1EPcn+Ev5ZvqH+6T8xP3i/gAAHgE8AlwDeQSbBbUG2QfxCBkKKQtkDKUMcgtjCjkJIwj9BuUFwASnA4QCaQFHAC3/C/7v/M77sfqS+XP4Vfc09hv17vM48zz0WPV89pX3ufjS+fb6EPwz/U3+cP+JAK0BxgLqAwQFJwZBB2UIfgmiCrwLxwwaDOsK0gmxCJMHdQZVBTgEGAP7AdoAv/+e/oL9X/xG+yL6Cfnj9832o/WV9GDzlfPR9OD1Cfcg+EX5X/qB+538vf3b/vr/GAE2AlUDcgSUBa8G0gfqCBIKIgtdDKkMeQtpCj8JKggEB+wFxwSuA4oCcAFOADT/Ev72/NX7uPqY+Xr4W/c79iH19vM28zX0UvV19o/3svjM+e/6Cfws/Ub+av+DAKYBwALjA/0EIQY6B14IdwmcCrULxAwhDPEK2Qm3CJoHewZcBT8EHgMCAuEAxv+k/on9ZvxM+yj6EPnq99T2qvWc9GXzj/PL9Nn1A/ca+D75WPp6+5b8t/3U/vT/EQEvAk8DbASNBagGywfkCAsKHAtWDK4MgAtwCkYJMAgKB/IFzgS1A5ECdwFUADr/GP79/Nv7v/qe+YH4YvdD9if1/fM18y30TPVu9oj3q/jF+ej6Avwm/UD+Y/98AJ8BuQLdA/YEGgYzB1gIcAmWCq0LwgwpDPcK4Qm9CKEHgQZjBUUEJQMIAugAzP+r/pD9bfxT+y/6Fvnw99v2sfWj9GrziPPE9NL1/PYT+Dj5Ufp0+5D8sP3N/u3/CgEpAkgDZQSGBaIGxAfeCAQKFgtPDLIMhwt2Ck0JNwgRB/kF1AS7A5gCfQFbAEH/H/4E/eL7xvql+Yj4aPdK9i31BfQ08yX0RvVn9oL3pPi/+eL6/Psf/Tn+XP91AJgBsgLWA+8EFAYsB1IIaQmQCqULvwwxDP0K6AnECKgHiAZqBUsELAMPAu4A0/+y/pb9dPxa+zb6Hfn39+L2t/Wp9HDzgvO+9Mz19vYM+DH5Svpt+4n8qv3G/uf/AwEiAkEDXwR/BZsGvQfXCP0JEAtIDLYMjwt9ClQJPQgYBwAG2wTCA54ChAFhAEj/Jf4K/ej7zfqr+Y/4bvdR9jP1DfQ08x30P/Vf9nz3nfi4+dv69fsY/TL+Vf9vAJIBrALPA+kEDQYmB0sIYgmKCp4LvQw4DAML7wnKCK8HjgZxBVIEMwMVAvUA2f+5/p39e/xg+z36JPn+9+j2vvWw9HbzfPO39MX17/YF+Cv5RPpn+4L8o/3A/uD//AAcAjoDWQR4BZUGtgfRCPYJCQtADLkMlguDClsJRAgfBwYG4gTJA6UCiwFoAE//LP4R/e/71Pqy+Zb4dfdY9jn1FfQ08xX0OvVY9nX3lviy+dT67/sR/Sz+T/9oAIsBpQLJA+IEBgYfB0UIWwmDCpYLuQxADAkL9gnRCLYHlQZ4BVgEOgMcAvwA4P+//qP9gfxn+0P6KvkF+O/2xfW39HvzdvOx9L716fb+9yT5Pfpg+3v8nf25/tn/9QAVAjMDUgRxBY8GsAfLCO8JAws5DLwMnguJCmEJSwglBw0G6ATPA6sCkgFuAFX/Mv4Y/fX72/q4+Z34e/df9j/1HfQ08w70M/VR9m/3j/ir+c366PsL/SX+SP9iAIQBnwLCA9sEAAYYBz4IVAl9Co8LtgxHDA8L/QnXCL0HmwZ/BV8EQQMiAgMB5v/G/qr9iPxt+0r6MfkM+PX2zPW+9ILzcPOq9Lf14vb49x75Nvpa+3T8lv2y/tP/7wAPAiwDTARqBYgGqQfECOgJ/QoxDL8MpQuQCmgJUQgsBxMG7wTWA7ICmAF1AFz/Of4f/fz74fq++aT4gfdm9kX1JfQ08wb0LfVK9mn3ifil+cb64vsE/R/+Qf9bAH4BmAK7A9QE+QURBzcITQl3CogLsgxPDBULBArdCMQHogaGBWUERwMpAgoB7f/N/rD9j/x0+1H6N/kS+Pz20vXE9Ijza/Oj9LH12/bx9xf5L/pT+238kP2r/sz/6AAJAiUDRQRkBYIGoge+COEJ9wopDMIMrQuWCm8JWAgzBxoG9gTdA7kCnwF8AGP/QP4l/QL86PrF+av4iPdt9kv1LfQ18/7zJ/VD9mL3gvif+b/62/v9/Bj+Ov9VAHcBkQK1A84E8wULBzEIRwlwCoELrgxWDBwLCwrkCMsHqAaMBWwETgMvAhEB8//U/rf9lvx6+1j6PvkZ+AL32fXL9I7zZfOc9Kr11fbq9xD5KfpN+2b8if2k/sb/4QACAh8DPwRdBXsGmwe4CNoJ8QoiDMQMtAucCnYJXgg6ByEG/QTjA8ACpgGCAGn/Rv4s/Qn87/rM+bH4jvd09lH1NPQ28/bzIfU89lz3e/iY+bj61fv2/BL+NP9OAHABiwKuA8cE7AUEByoIQAlqCnkLqgxdDCILEgrqCNIHrgaTBXIEVQM2AhcB+v/b/r39nfyB+1/6RPkg+An34PXR9JXzYPOV9KT1zvbk9wr5IvpG+2D8g/2e/r//2gD8ARgDOARWBXUGlAexCNMJ6woaDMYMvAuiCn0JZQhABycGAwXqA8YCrAGJAHD/Tf4z/Q/89vrS+bj4lfd79lj1PPQ48+7zG/U19lX3dPiS+bH6zvvv/Av+Lf9HAGkBhAKnA8EE5QX9BiQIOQljCnILpQxkDCgLGQrwCNkHtQaaBXkEXAM8Ah4BAADi/sT9pPyH+2b6S/kn+A/35/XX9JzzW/OO9J31x/bd9wP5G/o/+1n8fP2X/rn/0wD1AREDMgRPBW8GjQerCMwJ5QoSDMgMxAuoCoQJawhHBy4GCgXwA80CswGQAHf/VP46/Rb8/PrZ+b/4m/eC9l71RPQ58+fzFfUu9k/3bfiL+av6yPvp/AX+Jv9BAGMBfgKhA7oE3wX3Bh0IMgldCmsLoAxrDC8LIAr3CN8HuwahBX8EYwNDAiUBBgDo/sr9q/yO+2z6Ufku+BX37vXe9KPzV/OH9Jf1wfbW9/z4FPo5+1L8dv2Q/rL/zQDuAQoDKwRIBWgGhgelCMUJ3woKDMoMywuuCosJcQhOBzQGEQX3A9QCugGWAH3/Wv5A/R38A/vf+cb4ofeJ9mT1S/Q889/zD/Un9kn3ZviF+aT6wfvi/P79H/86AFwBdwKaA7QE2AXwBhYILAlWCmQLmwxxDDULJgr9COYHwgaoBYYEagNJAiwBDADv/tH9sfyU+3T6V/k1+Bz39fXk9KrzUvOA9JD1uvbQ9/b4Dvoy+0v8b/2J/qz/xQDoAQMDJQRBBWIGfweeCL0J2QoDDMsM0wu0CpIJeAhVBzsGGAX9A9oCwAGdAIT/Yf5H/SP8Cvvm+c34qPeQ9mr1U/Q+89fzCfUf9kP3X/h++Z36u/vb/Pj9GP8zAFUBcQKTA60E0QXpBhAIJQlPCl0Llgx4DDwLLQoECe0HyAavBYwEcANQAjMBEwD2/tf9uPya+3r6Xvk8+CL3/PXq9LHzTvN59Ir1s/bJ9+/4B/os+0X8aP2D/qX/vwDhAfwCHgQ6BVsGeAeYCLYJ0wr7C8wM2wu6CpoJfghcB0EGHwUEBOECxwGkAIv/aP5O/Sr8Efvs+dT4rveX9nD1W/RB88/zA/UY9jz3WPh4+Zb6tfvU/PL9Ev8tAE8BagKMA6cEygXjBgkIHwlJClcLkAx+DEILNAoKCfQHzwa1BZMEdwNWAjoBGQD9/t79v/yh+4H6ZPlD+Cn3A/bw9LjzSvNx9IP1rPbC9+j4APol+z78Yv18/p//uADbAfYCGAQzBVUGcQeSCK8JzQrzC8wM4wvACqEJhQhjB0gGJQUKBOgCzgGqAJH/bv5V/TD8F/vz+dr4tfee9nb1YvRD88jz/fQR9jb3Ufhx+Y/6rvvN/Ov9C/8nAEgBYwKFA6AEwwXcBgIIGAlCClALigyEDEkLOwoRCfsH1Qa8BZkEfgNdAkEBIAAE/+T9xvyn+4j6a/lK+C/3Cvb39MDzR/Nq9H31pva89+L4+vke+zf8W/11/pj/sQDUAe8CEQQtBU4GageLCKgJxwrrC8wM6wvGCqgJiwhpB04GLAURBO8C1AGxAJj/df5b/Tf8Hvv6+eH4u/el9n31afRH88Dz9/QK9jD3Svhr+Yj6qPvG/OX9BP8gAEEBXQJ+A5oEvQXWBvsHEQk7CkkLhAyKDFALQgoXCQII3AbDBaAEhQNjAkcBJgAL/+v9zfyu+4/6cflR+DX3Efb99MfzRPNi9Hf1nva199v48/kY+zH8VP1u/pL/qgDOAegCCwQmBUgGYweFCKEJwQrjC8wM8gvMCq8JkQhwB1QGMwUXBPUC2wG4AJ7/fP5i/T78JfsA+uj4wves9oP1cfRK87nz8fQD9in3Q/hl+YL6ofu//N79/f4ZADoBVgJ4A5MEtgXPBvQHCwk1CkILfgyQDFYLSAoeCQgI4gbKBacEjANqAk4BLQAR//H90/y0+5b6ePlX+Dz3GPYD9c/zQfNb9HD1mPav99T47PkR+yr8Tv1o/ov/pADHAeECBAQfBUEGXAd/CJoJuwrbC8wM+gvTCrYJmAh3B1sGOgUeBPwC4QG/AKX/gv5o/UX8K/sH+u/4yfez9on1ePRO87Lz6/T89SP3PPhe+Xv6m/u4/Nj99v4TADMBUAJxA40ErwXJBu0HBAkuCjwLeAyVDF0LTwokCQ8I6QbRBa0EkgNwAlUBMwAY//j92vy7+536fvle+EL3H/YJ9dfzPvNT9Gr1kfao98345vkK+yP8R/1h/oT/nQDBAdsC/QMYBTsGVQd4CJMJtQrTC8sMAgzYCr0Jngh+B2EGQQUlBAMD6AHGAKz/if5v/Uv8MvsO+vX4z/e59pD1f/RS86rz5PT19R33NfhY+XT6lPux/NH97/4NACwBSQJqA4YEqAXCBucH/ggnCjULcgybDGQLVgorCRYI8AbXBbQEmQN3AlwBOgAf//794fzB+6T6hPll+Ej3JvYP9d7zPPNM9GT1ivai98b43/kE+x38QP1a/n7/lgC6AdQC9wMRBTQGTgdyCIwJrgrMC8oMCgzeCsQJpAiFB2gGSAUrBAoD7gHNALL/kP52/VL8OfsU+vz41vfA9pb1h/RW86Pz3vTu9Rb3LvhR+W36jvur/Mv96f4GACYBQwJjA38EoQW8BuAH9wggCi8LawygDGsLXAoyCR0I9gbeBboEoAN9AmMBQAAm/wX+6PzI+6v6i/ls+E/3LfYV9ebzOvNE9F71g/ac98D42fn9+hb8Ov1U/nf/kACzAc0C8AMLBS4GRwdsCIUJqArEC8gMEgzkCssJqwiMB24GTwUyBBED9QHTALn/l/58/Vn8P/sb+gL53PfH9p31jvRb85zz2PTn9RD3J/hL+Wb6h/uk/MT94v4AAB8BPAJcA3kEmwW1BtkH8QgZCikLZAylDHILYwo5CSMI/QblBcEEpwOEAmkBRwAt/wv+7/zO+7H6kflz+FX3NPYb9e7zOPM99Fj1fPaV97n40vn2+hD8M/1N/nD/iQCtAccC6gMEBScGQQdlCH4Jogq8C8cMGgzrCtIJsQiTB3UGVQU4BBcD+wHaAL//nf6D/V/8Rvsi+gn54/fO9qP1lfRg85bz0fTg9Qn3IfhE+V/6gfud/L792/76/xcBNgJVA3IElAWvBtIH6wgSCiILXQypDHkLaQo/CSoIBAfsBccErQOKAnABTQAz/xL+9fzV+7j6mPl6+Fv3PPYh9fbzNvM19FL1dfaP97L4zPnv+gn8LP1H/mr/ggCmAcAC4wP9BCEGOgdfCHcJnAq1C8QMIQzxCtkJtwiaB3sGXAU/BB4DAgLhAMb/pP6J/Wb8TPso+hD56vfU9qr1nPRl84/zy/TZ9QP3Gvg++Vj6evuW/Lf91P70/xABMAJPA2wEjQWoBssH5AgLChwLVgyuDIALcApGCTAICgfyBc4EtAORAncBVAA6/xj+/Pzb+7/6nvmB+GL3Q/Yn9f3zNfMt9Ez1bvaI96v4xfnp+gL8Jf1A/mP/fACfAbkC3QP2BBoGMwdYCHAJlgqtC8IMKQz3CuAJvgihB4EGYwVFBCUDCALoAMz/q/6Q/W38U/sv+hb58Pfb9rD1o/Rq84jzxPTT9fz2E/g3+VL6dPuP/LD9zf7t/woBKQJIA2UEhgWiBsQH3ggEChYLTwyyDIcLdgpNCTcIEQf5BdUEuwOXAn4BWgBB/x/+A/3i+8b6pfmI+Gj3SvYt9QX0NPMl9Eb1ZvaC96T4v/ni+vz7H/05/lz/dQCZAbIC1gPwBBQGLAdSCGkJkAqmC78MMQz9CugJxAioB4gGagVMBCwDDwLvANP/sv6W/XT8Wvs2+h359/fi9rf1qfRw84LzvvTM9fb2DPgx+Uv6bfuI/Kr9x/7n/wMBIwJBA18EfwWcBr0H1wj9CQ8LSAy2DI8LfQpUCT4IGAcABtsEwgOeAoQBYQBI/yX+Cv3o+836q/mP+G73UfYz9Q30NPMd9ED1X/Z89534uPnb+vX7GP0z/lb/bwCSAawCzwPpBA0GJQdLCGIJiQqeC70MOAwDC+8JygivB44GcQVSBDMDFQL2ANn/uf6d/Xr8YPs9+iP5/vfo9r71sPR283zzt/TF9e/2Bfgq+UT6Z/uC/KP9wP7g//wAHAI6A1gEeAWVBrYH0Qj2CQkLQAy5DJYLgwpbCUQIHgcGBuIEyAOlAosBZwBO/yz+Ef3v+9T6svmW+HX3WPY59RX0NPMV9Dr1WPZ195b4svnU+u/7Ef0s/k//aACLAaUCyQPiBAcGHwdFCFsJgwqWC7kMQAwJC/YJ0Ai2B5UGeAVZBDoDHAL8AOD/v/6j/YH8ZvtE+ir5Bfjv9sX1t/R783bzsfS+9en2//ck+T36YPt7/J39uf7a//UAFgIzA1IEcQWPBq8HywjvCQMLOQy8DJ4LiQphCUsIJQcNBukEzwOrApIBbgBV/zP+GP31+9r6uPmd+Hv3X/Y/9R30NPMO9DT1UfZv95D4q/nN+uj7Cv0m/kj/YQCFAZ8CwgPcBAAGGAc+CFQJfQqPC7YMRwwPC/0J1wi9B5sGfwVfBEADIgIDAeb/xv6q/Yj8bftK+jD5DPj19sv1vfSC83DzqvS39eL2+Pcd+Tb6Wvt0/Jb9sv7T/+4ADwIsA0sEagWIBqgHxQjoCf0KMQy/DKULjwpoCVEILAcTBu8E1gOyApgBdQBc/zn+H/38++H6v/mk+IH3ZvZF9SX0NPMG9C71SvZp94n4pfnG+uL7BP0f/kH/WwB+AZgCuwPVBPkFEQc4CE0JdwqIC7IMTgwVCwQK3QjEB6EGhQVmBEcDKQIKAe3/zf6w/Y/8dPtR+jf5Evj89tL1xPSI82vzo/Sx9dz28fcX+S/6U/tt/JD9q/7N/+gACQImA0UEZAWCBqEHvgjhCfcKKQzCDK0LlgpvCVgIMgcaBvYE3AO5Ap8BfABj/0D+Jv0C/Oj6xfmr+Ij3bfZL9S30NfP+8yj1Q/Zi94H4nvm/+tv7/fwZ/jr/VAB3AZECtQPOBPMFCgcxCEcJcAqAC64MVgwcCwsK4wjLB6gGjAVsBE4DLwIRAfP/1P63/Zb8evtY+j75GfgC99n1y/SO82XznPSq9dX26vcQ+Sj6Tftm/In9pP7G/+EAAgIfAz8EXQV8BpsHuAjaCfEKIgzEDLQLnAp2CV4IOQchBv0E4wO/AqYBgwBp/0b+LP0J/O/6zPmx+I73dPZR9TT0NvP28yH1PPZc93v4mPm5+tX79vwS/jT/TgBwAYsCrgPIBOwFBAcqCEAJagp5C6oMXQwiCxIK6gjSB64GkwVzBFUDNgIYAfr/2/69/Z38gPtf+kT5IPgJ9+D10fSV82DzlfSk9c725PcK+SL6Rvtg/IP9nv7A/9oA/AEYAzgEVgV1BpQHsgjTCesKGgzGDLwLogp9CWUIQAcnBgMF6QPGAq0BiQBw/03+M/0P/Pb60vm4+JT3e/ZX9Tz0OPPu8xv1NfZW93T4kvmy+s777/wM/i3/RwBqAYQCpwPBBOUF/QYjCDkJYwpyC6UMZAwoCxkK8AjZB7UGmgV5BFwDPAIeAQAA4v7E/aP8h/tm+kr5J/gP9+f11/Sc81vzjvSd9cf23fcD+Rv6QPtZ/Hz9l/65/9MA9QERAzIETwVvBo0HqwjMCeUKEgzIDMQLqAqECWsIRwcuBgoF8QPNArMBkAB3/1T+Ov0W/Pz62fm/+Jv3gvZe9UT0OfPm8xX1LvZP9234i/mr+sj76PwF/ib/QQBjAX4CoAO6BN8F9wYdCDMJXQprC6AMawwvCyAK9wjfB7sGoQV/BGMDQwIlAQYA6P7K/ar8jftt+lH5LvgW9+713vSj81fzh/SX9cH21vf8+BT6OftS/HX9kP6y/8wA7wEKAysESAVoBoYHpQjFCd8KCgzKDMsLrgqLCXEITgc0BhEF9wPUAroBlwB9/1r+QP0d/AP73/nG+KH3ifZk9Uv0PPPf8w/1JvZJ92b4hfmk+sL74fz//R//OgBcAXcCmgOzBNgF8AYWCCwJVgpkC5sMcQw1CycK/QjmB8IGqAWGBGoDSQIsAQwA7/7R/bH8lPtz+lf5Nfgc9/X15PSq81LzgPSQ9br20Pf2+A76MvtL/G/9if6s/8UA6AEDAyUEQQViBn8Hngi9CdkKAwzLDNMLtAqSCXgIVQc7BhgF/gPaAsABnQCE/2H+R/0j/Ar75vnN+Kj3kPZq9VP0PvPX8wn1H/ZD91/4fvmd+rv72/z4/Rj/MwBVAXECkwOtBNEF6QYPCCUJUApdC5YMeAw8Cy0KBAntB8gGrwWMBHADUAIzARIA9v7X/bj8mvt6+l75PPgi9/z16vSx807zefSK9bP2yffv+Af6LPtF/Gj9g/6l/78A4gH9Ah4EOgVbBngHmAi2CdMK+wvMDNsLugqZCX4IXAdBBh8FBAThAscBpACL/2j+Tv0q/BH77PnT+K73l/Zw9Vv0QfPP8wP1GPY891j4ePmW+rX71Pzy/RL/LQBOAWoCjAOmBMoF4wYJCB8JSQpXC5AMfgxCCzQKCgn0B88GtQWTBHcDVgI6ARkA/f7e/b/8ofuB+mT5Q/gp9wP28PS480rzcfSD9az2w/fo+AD6Jfs+/GL9fP6f/7gA2wH2AhgEMwVVBnEHkgivCc0K8wvMDOMLwAqgCYUIYwdIBiUFCwToAs0BqwCR/27+VP0w/Bf78/na+LX3nvZ29WL0Q/PI8/30EfY291H4cvmP+q77zfzr/Qv/JgBHAWMChQOgBMQF3AYCCBgJQgpQC4oMhAxJCzsKEQn7B9UGvAWZBH4DXAJBAR8ABP/k/cb8p/uI+mv5Svgv9wr29/TA80fzavR99aX2vPfi+Pr5Hvs3/Fv9df6Y/7EA1AHvAhEELQVOBmoHjAioCccK6wvMDOsLxwqoCYsIagdOBiwFEQTvAtQBsgCY/3X+W/03/B77+vnh+Lv3pfZ99Wr0R/PA8/f0CvYw90r4a/mJ+qj7xvzk/QT/IABAAV0CfgOZBL0F1gb7BxEJOwpJC4UMigxQC0IKFwkCCNwGwwWgBIUDYwJHASYAC//r/c38rvuP+nH5UPg19xH2/fTH80TzY/R39Z/2tvfb+PP5GPsx/FT9bv6S/6sAzgHoAgsEJgVIBmMHhQihCcEK4wvMDPILzQqvCZEIcQdUBjMF" type="audio/wav" />
                        Your browser does not support the audio element.
                    </audio>
              
    </div>
    <br />
    <br />

.. GENERATED FROM PYTHON SOURCE LINES 262-271

Inharmonic Paritials
--------------------

Inharmonic partials refer to freqencies that are not integer multiple
of fundamental frequency.

They are essential in re-creating realistic sound or
making the result of synthesis more interesting.


.. GENERATED FROM PYTHON SOURCE LINES 273-278

Bell sound
~~~~~~~~~~

https://computermusicresource.com/Simple.bell.tutorial.html


.. GENERATED FROM PYTHON SOURCE LINES 278-301

.. code-block:: default


    num_tones = 9
    duration = 2.0
    num_frames = int(SAMPLE_RATE * duration)

    freq0 = torch.full((num_frames, 1), F0)
    mults = [0.56, 0.92, 1.19, 1.71, 2, 2.74, 3.0, 3.76, 4.07]
    freq = extend_pitch(freq0, mults)

    amp = adsr_envelope(
        num_frames=num_frames,
        attack=0.002,
        decay=0.998,
        sustain=0.0,
        release=0.0,
        n_decay=2,
    )
    amp = torch.stack([amp * (0.5**i) for i in range(num_tones)], dim=-1)

    waveform = oscillator_bank(freq, amp, sample_rate=SAMPLE_RATE)

    plot(freq, amp, waveform, SAMPLE_RATE, vol=0.4)




.. image-sg:: /tutorials/images/sphx_glr_additive_synthesis_tutorial_005.png
   :alt: Oscillator bank (bank size: 9)
   :srcset: /tutorials/images/sphx_glr_additive_synthesis_tutorial_005.png
   :class: sphx-glr-single-img



.. raw:: html

    <div class="output_subarea output_html rendered_html output_result">

                    <audio  controls="controls" >
                        <source src="data:audio/wav;base64,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" type="audio/wav" />
                        Your browser does not support the audio element.
                    </audio>
              
    </div>
    <br />
    <br />

.. GENERATED FROM PYTHON SOURCE LINES 302-306

As a comparison, the following is the harmonic version of the above.
Only frequency values are different.
The number of overtones and its amplitudes are same.


.. GENERATED FROM PYTHON SOURCE LINES 307-313

.. code-block:: default


    freq = extend_pitch(freq0, num_tones)
    waveform = oscillator_bank(freq, amp, sample_rate=SAMPLE_RATE)

    plot(freq, amp, waveform, SAMPLE_RATE)




.. image-sg:: /tutorials/images/sphx_glr_additive_synthesis_tutorial_006.png
   :alt: Oscillator bank (bank size: 9)
   :srcset: /tutorials/images/sphx_glr_additive_synthesis_tutorial_006.png
   :class: sphx-glr-single-img



.. raw:: html

    <div class="output_subarea output_html rendered_html output_result">

                    <audio  controls="controls" >
                        <source src="data:audio/wav;base64,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" type="audio/wav" />
                        Your browser does not support the audio element.
                    </audio>
              
    </div>
    <br />
    <br />

.. GENERATED FROM PYTHON SOURCE LINES 314-320

References
----------

- https://en.wikipedia.org/wiki/Additive_synthesis
- https://computermusicresource.com/Simple.bell.tutorial.html
- https://computermusicresource.com/Definitions/additive.synthesis.html


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** ( 0 minutes  4.922 seconds)


.. _sphx_glr_download_tutorials_additive_synthesis_tutorial.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example


    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: additive_synthesis_tutorial.py <additive_synthesis_tutorial.py>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: additive_synthesis_tutorial.ipynb <additive_synthesis_tutorial.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_