\n",
"Following Section 3.3.2 of [Müller, FMP, Springer 2015], we discuss in this notebook how synchronization results can be used for automatically computing the local tempo over time of an expressive music recordings.\n",
"\n",
"
\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Performance Analysis\n",
"\n",
"Musicians give a piece of music their personal touch by continuously varying tempo, dynamics, and articulation. Instead of playing mechanically, they speed up at some places and slow down at others in order to shape a piece of music. Similarly, they continuously change the sound intensity and stress certain notes. Such performance aspects are of fundamental importance for the understanding and perception of music. The automated analysis of different interpretations, also referred to as **performance analysis**, is an active field of research. Generally speaking, one may distinguish between two complementary goals. The first goal is to find commonalities between different interpretations, which allow for the derivation of general performance rules. For example, such a rule could be that most musicians tend to gradually slow down towards the end of a piece of music, thus closing off the composition. A second, even harder goal is to capture what exactly is characteristic for the style of a particular interpreter. For example, what makes Karajan so special? And how do his performances differ from recordings by other conductors?\n",
"\n",
"Before analyzing a specific performance, one requires the information about when and how the notes of the underlying piece of music are actually played. Therefore, as the first step of performance analysis, one has to annotate the performance by means of suitable attributes that make the exact timing and intensity of the various note events explicit. The extraction of such performance attributes from audio recordings constitutes a challenging problem. Many researchers manually annotate the audio material by marking salient data points in the audio stream. However, being very labor-intensive, such a manual process is prohibitive in view of large audio collections."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Tempo Curve Computation: Basic Idea\n",
"\n",
"We now present an approach for deriving tempo-related information using [music synchronization](../C3/C3_MusicSynchronization.html) techniques. Many pieces from the Western classical music literature are based on a musical score. The basic idea is to use this score as a reference version (where beat positions are assumed to be known) against which the performed version can be compared. The overall procedure works as follows:\n",
"\n",
"* First, the **reference version** is converted into a piano-roll presentation, where the notes are played with a known constant tempo in a purely mechanical way. \n",
"\n",
"* Then, music synchronization techniques are used to temporally align the note and beat events of the reference with their corresponding physical occurrences in a given performed audio version.\n",
"\n",
"* The resulting warping path reveals the **relative tempo differences** between the actual performance and the neutral reference version. Knowing the absolute tempo of the reference version, one can then derive the tempo of the performed version at a certain position from the slope of the warping path.\n",
"\n",
"More precisely, to derive a tempo value one needs to \"observe\" the performed version over a certain period of time. To this end, we fix a suitable time window (e.g., one beat interval). From the warping path one can read off the corresponding physical duration (given in seconds) of the performed version. From this, one can derive an average tempo value specified in [**beats per minute**](../C6/C6S2_TempoBeat.html) (BPM) for the time window. In the following code cell, we illustrate the procedure schematically using a toy example. We fix a window on the reference time axis having a duration of one beat. In the example, the first beat of the reference version is aligned to a section of the performed version lasting two seconds. In other words, the performed version has in this section an average tempo of one beat every two seconds, resulting in $30~\\mathrm{BPM}$. Similarly, the second beat lasts one second corresponding to $60~\\mathrm{BPM}$, the third beat lasts $0.4$ seconds corresponding to $150~\\mathrm{BPM}$, and the fourth and fifth beats last $0.3$ seconds corresponding to $200~\\mathrm{BPM}$. This yields a **tempo curve** for the performed version specified for each beat interval of the reference version.\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:26.707721Z",
"iopub.status.busy": "2024-02-15T08:50:26.707475Z",
"iopub.status.idle": "2024-02-15T08:50:29.676258Z",
"shell.execute_reply": "2024-02-15T08:50:29.675695Z"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import os\n",
"import sys\n",
"import copy\n",
"\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"from matplotlib.ticker import ScalarFormatter\n",
"import librosa\n",
"import pandas as pd\n",
"from scipy import signal\n",
"from scipy.interpolate import interp1d\n",
"import scipy.ndimage.filters\n",
"%matplotlib inline\n",
"\n",
"sys.path.append('..')\n",
"import libfmp.b\n",
"import libfmp.c1\n",
"import libfmp.c3\n",
"\n",
"P = np.array([[0, 0], [2, 1], [3, 2], [3.4, 3], [3.7, 4], [4, 5]])\n",
"bpm = []\n",
"\n",
"pos_audio1, pos_score1 = P[0, :]\n",
"for pos_audio2, pos_score2 in P[1:]:\n",
" dur_audio = pos_audio2 - pos_audio1\n",
" dur_score = pos_score2 - pos_score1\n",
" bpm.append(60 * (dur_score / dur_audio))\n",
" pos_audio1, pos_score1 = pos_audio2, pos_score2\n",
"\n",
"fig, ax = plt.subplots(1, 2, figsize=(8, 3))\n",
"\n",
"ax[0].plot(P[:, 1], P[:, 0], 'r-', linewidth=2)\n",
"ax[0].set_yticks([0, 1, 2, 3.0, 3.4, 3.7, 4.0])\n",
"ax[0].grid()\n",
"ax[0].set_xlim([0, 5])\n",
"ax[0].set_ylim([0, 4])\n",
"ax[0].set_xlabel('Time (beats)')\n",
"ax[0].set_ylabel('Time (seconds)')\n",
"ax[0].set_title('Warping path')\n",
"\n",
"ax[1].plot(np.arange(len(bpm)) + 0.5, bpm, 'k-')\n",
"ax[1].plot(np.arange(len(bpm)) + 0.5, bpm, 'ro', markersize=10)\n",
"ax[1].set_yticks([30, 60, 150, 200])\n",
"ax[1].grid()\n",
"ax[1].set_xlim([0, 5])\n",
"ax[1].set_ylim([0, 240])\n",
"ax[1].set_xlabel('Time (beats)')\n",
"ax[1].set_ylabel('Tempo (BPM)')\n",
"ax[1].set_title('Tempo curve')\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example: Schumann's Träumerei\n",
"\n",
"As an example, we consider three performances of the first eight measures of the \"Träumerei\" by Robert Schumann. The figure below shows the resulting tempo curves. Despite the significant differences in the overall tempo, there are also noticeable similarities in the relative shaping of the curves. For example, at the beginning of the second measure (region marked by the rectangular frame), all three pianists slow down. The musical reason is that there is a climax of the ascending melodic line in the first measure culminating in the marked subdominant chord (in $\\mathrm{B}$ major). This climax is further highlighted by a preceding ritardando. After the climax, the tension is released, and one can notice a considerable speed up in all three performances to return to the original tempo. As mentioned before, deriving such general rules is one of the goals of performance analysis.\n",
"\n",
"\n",
"\n",
"The tempo curves as shown in the figure were computed using high-resolution music synchronization techniques in combination with adaptive windowing techniques. Details can be found in the paper \n",
"Towards Automated Extraction of Tempo Parameters from Expressive Music Recordings. In the following, we only introduce the main ideas, using standard chroma-based features in combination with basic DTW techniques. The quality of resulting tempo curves, as we will see, crucially depend on numerous parameter settings.\n",
"\n",
"As our running example throughout this notebook, we use the first 34 beats of Robert Schumann's Träumerei. This excerpt consists of the upbeat, the first eight measures, plus one more beat (the F of the repetition)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Computation: Chromagram \n",
"\n",
"Following the approach as described, we now describe a baseline implementation for computing tempo curve. We assume that the score-based reference version is given in form of a [CSV file](../C1/C1S2_CSV.html) containing the start times (give in beats), pitches (given as MIDI note numbers), and durations (given in beats) of the individual note events. In the following code cell, we convert the reference version (shown as [piano roll representation](../C1/C1S2_PianoRoll.html)) into a [chromagram](../C3/C3S1_SpecLogFreq-Chromagram.html) as follows:\n",
"\n",
"* First, we specify a sampling rate (`Fs_beat`) that defines the number of frames per beat. \n",
"* Then, the piano-roll representation is converted into a chroma representation by summing up the pitch bands that correspond to the same chroma. \n",
"* The resulting chroma features are normalized with respect to the $\\ell^2$-norm. \n",
"\n",
"In the following, we use `Fs_beat=10` which results in $10$ feature vectors per beat. Having $34$ beats in our running example, this results in feature sequence of length $340$. Note that, when thinking of a performance, this length corresponds to a constant tempo of $60~\\mathrm{BPM}$ using a feature rate of $10$ frames per second. \n",
"\n",
"Similarly, we convert the audio recording of a given performance into [chromagram](../C3/C3S1_SpecLogFreq-Chromagram.html), where the chroma vectors are again normalized with respect to the $\\ell^2$-norm. In the following, we use a feature rate of $10~\\mathrm{Hz}$. In the subsequent example, we use a piano recording of the first $34$ beats performed by Gabriel Antonio Hernandez Romero. \n",
"\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:29.724711Z",
"iopub.status.busy": "2024-02-15T08:50:29.724400Z",
"iopub.status.idle": "2024-02-15T08:50:30.684474Z",
"shell.execute_reply": "2024-02-15T08:50:30.683841Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First six note events of score CVS file:\n",
" Start Duration Pitch Velocity Instrument\n",
"0 0.0 1.0 60.0 0.70866 NaN\n",
"1 1.0 1.0 41.0 0.70866 NaN\n",
"2 1.0 4.0 41.0 0.70866 NaN\n",
"3 1.0 2.0 65.0 0.70866 NaN\n",
"4 2.0 3.0 48.0 0.70866 NaN\n",
"5 2.0 3.0 53.0 0.70866 NaN\n"
]
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Compute DTW and plot C, D, P\n",
"C = libfmp.c3.compute_cost_matrix(X, X_score, metric='euclidean')\n",
"sigma = np.array([[1, 0], [0, 1], [1, 1]])\n",
"D, P = librosa.sequence.dtw(C=C, step_sizes_sigma=sigma)\n",
"P = P[::-1, :] # reverse P\n",
"\n",
"fig, ax = plt.subplots(1, 3, figsize=(11, 3)) \n",
"libfmp.c3.plot_matrix_with_points(C, P, linestyle=':', marker='.', ax=[ax[0]], \n",
" ylabel='Performance (audio)', xlabel='Reference (score)',\n",
" title='$C$ and $P$', aspect='equal')\n",
"libfmp.c3.plot_matrix_with_points(D, P, linestyle=':', marker='.', ax=[ax[1]], \n",
" ylabel='Performance (audio)', xlabel='Reference (score)',\n",
" title='$D$ and $P$', aspect='equal')\n",
"libfmp.c3.plot_matrix_with_points(C, P, linestyle=':', marker='.', ax=[ax[2]], \n",
" ylabel='Performance (audio)', xlabel='Reference (score)',\n",
" title='$C$ and $P$ (zoom)', aspect='equal')\n",
"zoom_beat = np.array([4.8, 6.2])\n",
"zoom_sec = np.array([4.9, 6.2])\n",
"ax[2].set_xlim(zoom_beat * Fs_beat)\n",
"ax[2].set_ylim(zoom_sec * Fs_X)\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To compute relative tempo differences, one basically needs to derive the slope of the warping path and then take its reciprocal to derive the tempo. This, however, becomes problematic when the warping path runs horizontally (slope is zero) or vertically (slope is infinite). We remove such degenerations by deleting all horizontal and vertical sections. As a result, we obtain a modified path that is **strictly monotonous** in both dimension. We call this path a **strict alignment path**. Note that this path no longer fulfills the step-size conditions. \n",
"\n",
"In the following code cell, we provide two alternative implementations (yielding the same result) for converting a warping path into a strict alignment path. In this construction, we enforce that the [**boundary condition**](../C3/C3S2_DTWbasic.html) is still valid (i.e., the resulting path starts and ends with the same cells $(1,1)$ and $(N,M)$ as the original warping path). We will illustrate the effect by means of a small toy example, and then continue with our Schumann example."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:31.539802Z",
"iopub.status.busy": "2024-02-15T08:50:31.539519Z",
"iopub.status.idle": "2024-02-15T08:50:32.422176Z",
"shell.execute_reply": "2024-02-15T08:50:32.421554Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Toy example:\n"
]
},
{
"data": {
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\n",
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"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def compute_strict_alignment_path(P):\n",
" \"\"\"Compute strict alignment path from a warping path\n",
"\n",
" Notebook: C3/C3S3_MusicAppTempoCurve.ipynb\n",
"\n",
" Args:\n",
" P (list or np.ndarray): Warping path\n",
"\n",
" Returns:\n",
" P_mod (list or np.ndarray): Strict alignment path\n",
" \"\"\"\n",
" # Initialize P_mod and enforce start boundary condition\n",
" P_mod = np.zeros(P.shape)\n",
" P_mod[0] = P[0]\n",
" N, M = P[-1]\n",
" # Go through all cells of P until reaching last row or column\n",
" assert N > 1 and M > 1, 'Length of sequences must be longer than one.'\n",
" i, j = 0, 0\n",
" n1, m1 = P[i]\n",
" while True:\n",
" i += 1\n",
" n2, m2 = P[i]\n",
" if n2 == N or m2 == M:\n",
" # If last row or column is reached, quit loop\n",
" break\n",
" if n2 > n1 and m2 > m1:\n",
" # Strict monotonicity condition is fulfuilled\n",
" j += 1\n",
" P_mod[j] = n2, m2\n",
" n1, m1 = n2, m2\n",
" j += 1\n",
" # Enforce end boundary condition\n",
" P_mod[j] = P[-1]\n",
" P_mod = P_mod[:j+1]\n",
" return P_mod\n",
"\n",
"def compute_strict_alignment_path_mask(P):\n",
" \"\"\"Compute strict alignment path from a warping path\n",
"\n",
" Notebook: C3/C3S3_MusicAppTempoCurve.ipynb\n",
"\n",
" Args:\n",
" P (list or np.ndarray): Wapring path\n",
"\n",
" Returns:\n",
" P_mod (list or np.ndarray): Strict alignment path\n",
" \"\"\"\n",
" P = np.array(P, copy=True)\n",
" N, M = P[-1]\n",
" # Get indices for strict monotonicity\n",
" keep_mask = (P[1:, 0] > P[:-1, 0]) & (P[1:, 1] > P[:-1, 1])\n",
" # Add first index to enforce start boundary condition\n",
" keep_mask = np.concatenate(([True], keep_mask))\n",
" # Remove all indices for of last row or column\n",
" keep_mask[(P[:, 0] == N) | (P[:, 1] == M)] = False\n",
" # Add last index to enforce end boundary condition\n",
" keep_mask[-1] = True\n",
" P_mod = P[keep_mask, :]\n",
"\n",
" return P_mod\n",
"\n",
"# Small toy example for testing\n",
"print('Toy example:')\n",
"X_toy = [1, 3, 9, 2, 1]\n",
"Y_toy = [2, 0, 0, 8, 7, 2]\n",
"C_toy = libfmp.c3.compute_cost_matrix(X_toy, Y_toy, metric='euclidean')\n",
"sigma = np.array([[1, 0], [0, 1], [1, 1]])\n",
"D_toy, P_toy = librosa.sequence.dtw(C=C_toy, step_sizes_sigma=sigma)\n",
"P_toy = P_toy[::-1, :] # reverse P\n",
"P_toy_mod = compute_strict_alignment_path(P_toy)\n",
"\n",
"fig, ax = plt.subplots(1, 2, figsize=(8, 2.5)) \n",
"libfmp.c3.plot_matrix_with_points(C_toy, P_toy, linestyle=':', marker='.', ax=[ax[0]], \n",
" ylabel='X', xlabel='Y',\n",
" title='$C$ and $P$', aspect='equal')\n",
"\n",
"libfmp.c3.plot_matrix_with_points(C_toy, P_toy_mod, linestyle=':', marker='.', ax=[ax[1]], \n",
" ylabel='X', xlabel='Y',\n",
" title='$C$ and strict alignment path', aspect='equal')\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"# Continuation with Schumann example\n",
"print('Schumann example (zoom):')\n",
"P_mod = compute_strict_alignment_path(P)\n",
"\n",
"fig, ax = plt.subplots(1, 2, figsize=(8, 3)) \n",
"libfmp.c3.plot_matrix_with_points(C, P, linestyle=':', marker='.', ax=[ax[0]], \n",
" ylabel='Performance (audio)', xlabel='Reference (score)',\n",
" title='$C$ and $P$ (zoom)', aspect='equal')\n",
"ax[0].set_xlim(zoom_beat * Fs_beat)\n",
"ax[0].set_ylim(zoom_sec * Fs_X)\n",
"\n",
"libfmp.c3.plot_matrix_with_points(C, P_mod, linestyle=':', marker='.', ax=[ax[1]], \n",
" ylabel='Performance (audio)', xlabel='Reference (score)',\n",
" title='$C$ and strict alignment path (zoom)', aspect='equal')\n",
"ax[1].set_xlim(zoom_beat * Fs_beat)\n",
"ax[1].set_ylim(zoom_sec * Fs_X)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Computation: Tempo Curve\n",
"\n",
"The strict alignment path can be regarded as a strictly increasing function from the reference axis (given in beats) to the time axis of the performance (given in seconds). Intuitively speaking, the derivative of this function can be regarded as **beat–duration function**, which specifies for each beat position the performance duration given in **seconds per beat** (SPB). This function can be further processed by applying smoothing operations. For example, one may apply an averaging filter of a certain length (specified in beats) to indicate the moving average duration over the given window. To realize this idea, we use in the following implementation the following techniques:\n",
"\n",
"* We interpret the strict alignment path as a function from beat to time (function `f_path_sec`)\n",
"* To fill the gaps, we use linear interpolation techniques (reference time line `t_beat`)\n",
"* We then compute a frame-wise difference to obtain a beat–duration representation.\n",
"* We apply a normalized Hann window for smoothing this representation (length `win_len_beat`)\n",
"\n",
"In the following code cell, these steps are implemented and plotted for our Schumann example."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:32.424705Z",
"iopub.status.busy": "2024-02-15T08:50:32.424507Z",
"iopub.status.idle": "2024-02-15T08:50:32.702952Z",
"shell.execute_reply": "2024-02-15T08:50:32.702377Z"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 171,
"width": 712
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Convert path into beat-time function and interpolte \n",
"t_path_beat = P_mod[:, 1] / Fs_beat\n",
"f_path_sec = P_mod[:, 0] / Fs_X\n",
"f_sec = interp1d(t_path_beat, f_path_sec, kind='linear', fill_value='extrapolate')(t_beat)\n",
"\n",
"# Compute difference and smooth with Hann window\n",
"f_diff_sec = np.diff(f_sec) * Fs_beat\n",
"f_diff_sec = np.concatenate((f_diff_sec, np.array([0])))\n",
"win_len_beat = 1\n",
"filt_len = int(win_len_beat * Fs_beat * 1.1)\n",
"filt_win = signal.hann(filt_len)\n",
"filt_win = filt_win / np.sum(filt_win)\n",
"f_diff_smooth_sec = scipy.ndimage.filters.convolve(f_diff_sec, filt_win, mode='nearest') \n",
"\n",
"fig, ax = plt.subplots(1, 3, figsize=(10, 2.5)) \n",
"ax[0].plot(t_beat, f_sec, 'r')\n",
"ax[0].plot(t_path_beat, f_path_sec, color='r', marker='o', linestyle='')\n",
"ax[0].set_title('Interpolated beat-time function')\n",
"ax[0].set_xlim(zoom_beat)\n",
"ax[0].set_ylim(zoom_sec)\n",
"ax[0].set_xlabel('Time (beats)')\n",
"ax[0].set_ylabel('Time (seconds)')\n",
"\n",
"ax[1].plot(t_beat, f_diff_sec, 'r')\n",
"ax[1].set_title('Beat-duration function')\n",
"ax[1].set_xlim(zoom_beat)\n",
"ax[1].set_ylim([0.25, 2.1])\n",
"ax[1].set_xlabel('Time (beats)')\n",
"ax[1].set_ylabel('Time (seconds)')\n",
"\n",
"ax[2].plot(t_beat, f_diff_smooth_sec, 'r')\n",
"ax[2].set_title('Smoothed beat-duration function')\n",
"ax[2].set_xlim(zoom_beat)\n",
"ax[2].set_ylim([0.25, 2.1])\n",
"ax[2].set_xlabel('Time (beats)')\n",
"ax[2].set_ylabel('Time (seconds)')\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From the **beat–duration function**, it is straightforward to obtain a **beat–tempo function**. To this end, one needs to take the reciprocal of the duration values multiplied with $60$ (to get beats per minute). This function yields what we simply refer to as **tempo curve**. Note that plotting a tempo curve using a linearly spaced BPM-axis leads to an overemphasis of higher tempo values compared to lower tempo values. In the following code cell, we provide a plotting function with a logarithmically spaced BPM-axis."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:32.705755Z",
"iopub.status.busy": "2024-02-15T08:50:32.705551Z",
"iopub.status.idle": "2024-02-15T08:50:33.003142Z",
"shell.execute_reply": "2024-02-15T08:50:33.002507Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 168,
"width": 508
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def plot_tempo_curve(f_tempo, t_beat, ax=None, figsize=(8, 2), color='k', logscale=False,\n",
" xlabel='Time (beats)', ylabel='Temp (BPM)', xlim=None, ylim=None,\n",
" label='', measure_pos=[]):\n",
" \"\"\"Plot a tempo curve\n",
"\n",
" Notebook: C3/C3S3_MusicAppTempoCurve.ipynb\n",
"\n",
" Args:\n",
" f_tempo: Tempo curve\n",
" t_beat: Time axis of tempo curve (given as sampled beat axis)\n",
" ax: Plot either as figure (ax==None) or into axis (ax==True) (Default value = None)\n",
" figsize: Size of figure (Default value = (8, 2))\n",
" color: Color of tempo curve (Default value = 'k')\n",
" logscale: Use linear (logscale==False) or logartihmic (logscale==True) tempo axis (Default value = False)\n",
" xlabel: Label for x-axis (Default value = 'Time (beats)')\n",
" ylabel: Label for y-axis (Default value = 'Temp (BPM)')\n",
" xlim: Limits for x-axis (Default value = None)\n",
" ylim: Limits for x-axis (Default value = None)\n",
" label: Figure labels when plotting into axis (ax==True) (Default value = '')\n",
" measure_pos: Plot measure positions as spefified (Default value = [])\n",
"\n",
" Returns:\n",
" fig: figure handle\n",
" ax: axes handle\n",
" \"\"\"\n",
" fig = None\n",
" if ax is None:\n",
" fig = plt.figure(figsize=figsize)\n",
" ax = plt.subplot(1, 1, 1)\n",
" ax.plot(t_beat, f_tempo, color=color, label=label)\n",
" ax.set_title('Tempo curve')\n",
" if xlim is None:\n",
" xlim = [t_beat[0], t_beat[-1]]\n",
" if ylim is None:\n",
" ylim = [np.min(f_tempo) * 0.9, np.max(f_tempo) * 1.1]\n",
" ax.set_xlim(xlim)\n",
" ax.set_ylim(ylim)\n",
" ax.set_xlabel(xlabel)\n",
" ax.set_ylabel(ylabel)\n",
" ax.grid(True, which='both')\n",
" if logscale:\n",
" ax.set_yscale('log')\n",
" ax.yaxis.set_major_formatter(ScalarFormatter())\n",
" ax.yaxis.set_minor_formatter(ScalarFormatter())\n",
" # ax.set_yticks([], minor=True)\n",
" # yticks = np.arange(ylim[0], ylim[1]+1, 10)\n",
" # ax.set_yticks(yticks)\n",
" plot_measure(ax, measure_pos)\n",
" return fig, ax\n",
"\n",
"f_tempo = 1. / f_diff_smooth_sec * 60\n",
"plot_tempo_curve(f_tempo, t_beat, xlim=zoom_beat, ylim=[30, 120])\n",
"plot_tempo_curve(f_tempo, t_beat, xlim=zoom_beat, ylim=[30, 120], logscale=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Computation: Overall Procedure\n",
"\n",
"We now define the function `compute_tempo_curve`, which summarizes the overall procedure described before. We apply this procedure to the Schumann example, considering the first $34$ beats of the score and a corresponding excerpt of the piano recording by Gabriel Antonio Hernandez Romero. The dependencies of the final result and the various parameters are discussed below. "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:33.005976Z",
"iopub.status.busy": "2024-02-15T08:50:33.005762Z",
"iopub.status.idle": "2024-02-15T08:50:33.290222Z",
"shell.execute_reply": "2024-02-15T08:50:33.289685Z"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 168,
"width": 500
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def compute_tempo_curve(score, x, Fs=22050, Fs_beat=10, N=4410, H=2205, shift=0,\n",
" sigma=np.array([[1, 0], [0, 1], [2, 1], [1, 2], [1, 1]]),\n",
" win_len_beat=4):\n",
" \"\"\"Compute a tempo curve\n",
"\n",
" Notebook: C3/C3S3_MusicAppTempoCurve.ipynb\n",
"\n",
" Args:\n",
" score (list): Score representation\n",
" x (np.ndarray): Audio signal\n",
" Fs (scalar): Samping rate of audio signal (Default value = 22050)\n",
" Fs_beat (scalar): Sampling rate for beat axis (Default value = 10)\n",
" N (int): Window size for computing audio chromagram (Default value = 4410)\n",
" H (int): Hop size for computing audio chromagram (Default value = 2205)\n",
" shift (int): Cyclic chroma shift applied to audio chromagram (Default value = 0)\n",
" sigma (np.ndarray): Step size set used for DTW\n",
" (Default value = np.array([[1, 0], [0, 1], [2, 1], [1, 2], [1, 1]]))\n",
" win_len_beat (float): Window length (given in beats) used for smoothing tempo curve (Default value = 4)\n",
"\n",
" Returns:\n",
" f_tempo (np.ndarray): Tempo curve\n",
" t_beat (np.ndarray): Time axis (given in beats)\n",
" \"\"\"\n",
"\n",
" # Compute score an audio chromagram\n",
" X_score, t_beat = compute_score_chromagram(score, Fs_beat)\n",
" Fs_X = Fs / H\n",
" X = librosa.feature.chroma_stft(y=x, sr=Fs, norm=2, tuning=0, hop_length=H, n_fft=N)\n",
" X = np.roll(X, shift, axis=0)\n",
"\n",
" # Apply DTW to compte C, D, P\n",
" C = libfmp.c3.compute_cost_matrix(X, X_score, metric='euclidean')\n",
" D, P = librosa.sequence.dtw(C=C, step_sizes_sigma=sigma)\n",
" P = P[::-1, :] # reverse P\n",
" P_mod = compute_strict_alignment_path(P)\n",
"\n",
" # Convert path into beat-time function and interpolte\n",
" t_path_beat = P_mod[:, 1] / Fs_beat\n",
" f_path_sec = P_mod[:, 0] / Fs_X\n",
" f_sec = interp1d(t_path_beat, f_path_sec, kind='linear', fill_value='extrapolate')(t_beat)\n",
"\n",
" # Compute difference and smooth with Hann window\n",
" f_diff_sec = np.diff(f_sec) * Fs_beat\n",
" pad = np.array([f_diff_sec[-1]])\n",
" f_diff_sec = np.concatenate((f_diff_sec, pad))\n",
" # f_diff_sec = np.concatenate((f_diff_sec, np.array([0]) ))\n",
" filt_len = int(win_len_beat * Fs_beat)\n",
" filt_win = signal.hann(filt_len)\n",
" filt_win = filt_win / np.sum(filt_win)\n",
" f_diff_smooth_sec = scipy.ndimage.filters.convolve(f_diff_sec, filt_win, mode='reflect')\n",
"\n",
" # Compute tempo curve\n",
" f_tempo = 1. / f_diff_smooth_sec * 60\n",
"\n",
" return f_tempo, t_beat\n",
"\n",
"# Read score\n",
"fn_score = os.path.join('..', 'data', 'C3', 'FMP_C3S3_Schumann_Op15No7_Traeumerei_MusicXML.csv')\n",
"score = libfmp.c1.csv_to_list(fn_score)\n",
"measure_pos_beat = np.array([1, 5, 9, 13, 17, 21, 25, 29, 33])\n",
"\n",
"# Read wav\n",
"Fs = 22050\n",
"fn_wav = os.path.join('..', 'data', 'C3', 'FMP_C3S3_Schumann_Op15No7_Traeumerei_HernandezRomero.wav')\n",
"x, Fs = librosa.load(fn_wav, Fs)\n",
"\n",
"# Compute and plot tempo curve\n",
"f_tempo, t_beat = compute_tempo_curve(score, x)\n",
"ylim = [30, 120]\n",
"plot_tempo_curve(f_tempo, t_beat, logscale=True, ylim=ylim, measure_pos=measure_pos_beat); "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Parameter: Window Length\n",
"\n",
"In our procedure, there are many assumptions and parameters that have a crucial influence on the quality of the resulting tempo curve. In the subsequent code cells, we have a closer look at some of these parameters. We start with the parameter `win_len_beat`, which determines the length of the Hann-weighted averaging filter (given in beats) to smooth the beat–duration function.\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:33.293321Z",
"iopub.status.busy": "2024-02-15T08:50:33.292930Z",
"iopub.status.idle": "2024-02-15T08:50:33.763037Z",
"shell.execute_reply": "2024-02-15T08:50:33.762346Z"
}
},
"outputs": [
{
"data": {
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c45tvjeBNoUJQ1h3O3s3uFomMtm49fPCR8Q+lRQsoXx4Cb8GGTfDue+C7DebNAaUeWpXIwRb8D+rVg7atoURJCA+HQ4dg6jRY9iP8vgbKlcvuVoqMdPUqfDLW+Pt97152t0ZkpKJFjS/xiRVyyfq2iMwx4xuYPAWKF4cnHofSpY3g+/HjsGdvqgI4IgeqWwdGjrC9b98+2LUb2ntlYYNEpvh8IsyZa/xI1rmT8X4OCIA/N8MfG2D6VOjtnd2tFOkxYhT8ugpKloTuT4GLC+zcCWPHwT//ZOt3qFwbwFFKjQCmAccwgjc3bRQ7BTTFyFmTYNyZKW9OFYykx+cBtNb3lFJXgPJKqbI28uB4mu5zfzh87BgoWxaqVDY+MPR9LrtbJDJa1Sqw6H/Gh0HrnjbvjYanehr/YP7YAE92y742ivTzP2b0uknsy69g5iz4dhZ88XnWt0tkDq2NX3eLuUGXLjBvfna3SGSkokXh7ZHZ3QqRWdatN4I3bVrDd/OgcOGE+6OjbR8nco+6dY2bLT2eNu5f6JdlzRGZ4OZN439vqVKweaPxBd9s12549nmYIgGcXG3jJiN4U9ED1q01AnRg/I1+bajx/WnFSmNEQzbIlYPplFLvYQRvDgPtkwneAGw13Xexsa8t4ALs1lpbD0B70DFdE5XJvVq1NL7gS++LvKtVK+j4RNJhUqVLw4svGMt79mZ9u0TGshW8AePXAoALAVnWFJEF/rfI+IA45Wvj1yAhRO4QFwdfTISCBeHbb5IGbwAKFMj6domscfIU+B0Cd3fpZZXbXb5ivJ8bNUwYvAHj+1XhwnA78aAQkatsMM2JNOSV+OANGH+j333bWF60OMubZZbrAjhKqTEYSYsPYvS8CXxA8ZVAIPCcUqqpVR3OwATT6pxEx8w13X+klCpmdUxlYCgQCSxKz2MQIts5OCS8F3nP5r+M+9q1srcdIuOcOQMTJxlDbJo3y+7WiMwQFWn86jfzW1iw0AjWxcZmd6tERjhwEP67BB3ag6urkT9j1hzjOh+USWjyvB+WGffPPZvq3Bkih6lSxcgpefiwMfzR2t5/jLyirVtnS9NEBrl1y7ivWDHpvkqmbUePQWj2ZFXJVd/elFI+wHggFtgBvKWS9iAJ0FovBtBahymlXsEI5GxTSi0HgoAeGFOMrwR+tj5Ya71bKTUVGAX8q5RaCTgCzwLFgTe11gGZ8gCFyAoxMUYCVACvdtnbFpFx5s6De+Fw546R1HjffqhdG4a+kd0tExkhJgaGjzRyWb03OrtbIzLLzVvGdbZW0cPocdWiefa0SWSMI0eM+5IlocuTxuQC1po1g/lzoESJrG+byFz3I2D1aqNHdD9JWZDrFXODD9+HTz+D9k8YOXCKFYOLF40fz9q2gS+/yO5WivQwTwBy6VLSfRetEiGfPQdNsn6iuFwVwMHIWQNgD4xIpszfwGLzitZ6jVKqHfAR0BtwBs5iBGi+0VonmVFKa/22UupfYBgwBIgD/IDJWut1GfJIhMguEyfBqVPGr4ASwMk75n0X/4sBGNd22hT5MpBXTJsBx47D6pVQMJlhcyJ369sHmj0KNWoYXfAv/geLlxjJyF/0gbWroU6d7G6lSKvA28b9D8vAwwOWL4NGjYzhGOMnwN9/w6tvwMqfH1yPyH3WrYPQMGPolEwqkDe8PBgqVIC334Uff4rfXrky9Hkm6dAqkbs88Tj8thbmL4AePYygHRg/pk2ZGl8um3rg5KohVFrrcVpr9ZCbl43jdmmtu2mti2mtC2qt62utp2mtk+2XrLVeorV+VGtdSGtdRGvdToI3Itf73yLji371ajBjena3RmSkQwfg8kXj/rt5Rlf9Lt3g6NHsbplIr0OHjWTUQ15J1dSkIpcZNcLIXVaqlJEnpVZNmPSFMSVtRARMmZ7dLRTpYR4Kp7XR06Z1a2MmuZo1YMF8Y2KJvXtlOFVetOxH477/C9nbDpFxZs+FV1+Hvs/Arh1w5iRsWGcMr3lzOEyQHji5Ws8exmxxFy9Chydg9Psw9lPo3BW2+hrD6CDbhkPmth44Qoi0WrzEmPquhics/zE+mizyllKloGsXqF8P2rY3pkHcsjm7WyXSyjx0qmqV+MR5In/p398IvP/zT3a3RKSHm6txX7Fi0p5UBZ2hXVtY/jMcOiKB2rzk9Gkj/1HZskbP50wQFxdHUFAQd+7cITIyEhuDC0RKREWlrNy9u1CrNqxaBZUqmbZFQNkKMH26kbA6Jgau3jBy5TxM2L0H7nYxTVjg7++fsvaJ5KX0GgNMmwaBgRAcApGRxsQ/T3U3EpFfuQLh4VCtOgQGoxQ42dtTxNGR4gWdsMvkSYIkgCNEfrDgfzBuPNSsCT//KF0784MKFcCzOhw/YSTZs86iL3KPe/fg/HljuVoN22VGv2/cBg+CT8dmXdtE1ihpGgZ5/372tkOkT9Wqxr1rUdv7XU0BnoiIrGmPyBo/mHrfZFLy4ri4OC5dukR4eHiG153vFEjh1+JChYwcg46O4GDjmtasafS4c3LMkGvuIjNOZpyUXmOzsmWNmzWNMVQOjJlgldGxMgJNREQE96Kj8ShaOFODOBLAESKvmzXHyHtTtw78tEy+yOcnN24a93Yy40Wu5ehkfPC35dgxIy/OY48aXw6zIZGeyAIH/Yz7ih7Z2w6RPs2bGTM/XggwfgVO/Mv8qVPGvUeFLG+ayCQREcascnZ28Hwyf8fTKSgoiPDwcBwcHHB3d6dQoULY2eWqDBk5R1RkyspduQq3b4ObG7iXSbr/3Hnjx5ey5aBokYfX5+j0wN137twBoEiRFNQlHiyl1/hBbgcZPXCKFbP8vY6Li+Ne+H2u37pFeFQkQfcjKemSefkKJYAjRF42fQZ8PRUeqQ/LfpBhU3nN2bNQtCiULp1we1wcTP7a6PrZtEl8132R+xR0hq+/sr1vyjQjgPNMb+j3fNa2S2SsU6eN93Hiv9GXL8PHnxjL3r2yvFkiAxUvDt2fgtVrjP/No9+N37d9B/y93fh7LpML5B3r/jCSnD7xeKYlLzZ/uXd3d5cv+FmlUCEjgBMUZEwUYd2r484dI3ijFBSSnjO5Wmwc2CcKhobfh+vXjaBsmfjP3nZ2dhQpXAjQXL52jTtRURLAEZlg4ybY9KexfNM0c42fH4w05VgoXgzGfJw9bRMZY8VKI3hjbw+PPQYLFyUt41HBmPlE5E7b/jYS5TV7zBiHXawYBN6Cvf8YM9iULgVfTcruVgohHmbdepg9x5gqvKIHFCpsJE/cstUYe9+hPbw6JLtbKdJr7BgjKfk338I/+6BhA2MWqo2bjP/VX02KH0olcr8fTcOnXuiXaaeIjDR6FBQqVCjTziEScXOFoMJw967Rc87V1ehdFxkJYWFGmbJlsy3BrcggFy4YgThnZyOQE2G6vnZ2xmduG/mNCrm4AIrI2JhMbZoEcPKr4yeML/jWLv4XP7d9hQoSwMnt/rtk3MfGGjlwbGneXAI4uVnr1vDC87D/IJzwN/6xuLgYCW+9vWHQQOl1JURu0LKFkevo2HHwO2QkRyxa1Bge19vbuGVyUkSRBUqWhN9/g2++MYI2foeMX/Mf7wBD35BhkHnJmTOwb3+mJi8GLAmLZdhUFqtS2eiFExJq9LKKizOCOEWKGO/zIoWzu4UivVyLGtc3JMS4vgUKGD0pS5cGxwI2D1FKWXLiZCYJ4ORXb480biLvkmuc99WqCZ9PyO5WiOwi7/G8o0Vz4ybyvmJuMPYT4ybyLk9PuHwxu1shMotSRqBGJgXJu0qVMm6poLLohxYJ1wohhBBCCCGEEELkcBLAEUIIIYQQQgghhMjhJIAjhBBCCCGEEELkUAMGDEApRUBAQHY3JcVyY5tzAwngCCGEEEIIIYTItZRSWZaDJDOMGzcOpRTbtm3LtjZordm4cSNvvvkmDRs2pFixYjg7O1OzZk1GjBjBjRs3sq1tGSUgIADl5MyAl1/O7qakmSQxFkIIIYQQQggh8rHIyEi6du2Ko6Mjbdu25YknniA2NpatW7cyY8YMli9fzo4dO/D09MzupuZrEsARQgghhBBCCCHyMXt7eyZMmMAbb7xBsWLFLNvj4uJ44403mDdvHqNGjeL333/PxlYKGUIlhBBCCCGEECLf+Omnn2jfvr1lmFDtRxowYeJEIiMjk5RVTs54dexIYGAgQ15/g7KVKuNUpCh1GzZi0ZIlNuuPjIxk3GefUbVmLZyKFKVKjZp8PHYskZGRlvrMKleuzKeffgpA+/btLcPBkhsSNm/ePOrXr4+zszNlypRhyJAhhIaGpvs5KVCgAB999FGC4A2AnZ0dn3zyCUCahnjFxcUxdepUatWqhbOzMxUqVGDkyJGEhYXZLH/58mWGDRtG1apVcXJyokSJEvTo0YP9+/cnKXv16lXGjx9Pq1atcHd3x9HRkXLlytGvXz/8/f0TlB332WdUqVkLgCVLf0A5OVtui7//HjCGkS1ZupSW7bwoVb4CzkVd8ahWjc5PPsXPK1ak+rFnBumBI4QQQgghhBAiXxg8eDALFy6kQoUKeHt74+bmxt49uxkz7lO2+Pqy+Y8/cHBI+DU5JCSUVl7tcXR05JlevYiIjGDlqtUMGvIqdnZ2+Lz4oqWs1prezz7H+g0b8KxenWGvv050dDSLl/7A8RP+iZvDiBEjWLNmDX///Tc+Pj5Urlw52baPHj2aTZs20b17dzp16oSvry/fffcdZ8+eZevWrQnKLl68mIEDB+Lj48PixYvT9Zw5OjoCJHleUmLkyJFs376dvn370rNnTzZt2sT06dPZsWMHO3fuxNnZ2VLWz8+PTp06ERQUROfOnfH29iYwMJA1a9bQunVrVq9eTbdu3Szlt2/fzqRJk2jfvj29e/emcOHCnDlzhpUrV7J27Vp27dpFgwYNAPBq25aQYaHM+PZbGjzyCE/36G6pp6GpzEeffMLEryZTpXJl+vbujatrUa5dv87+AwdZ8esqnu3TJ03PX0aSAI4QQgghhBBCiDxv8eLFLFy4kF69erFs2TIKFixo7Igyesx8OuFzZs2Zy/A3hyU47si//zJ44ADmzZqFvb09ACPfeotHmjTly6+nJAjg/PDjj6zfsIE2rVvx14YNluDH+LGf0LxN2yRtGjFiBCEhIfz9998MGDAALy8vy747d+4kKLt3716OHj1KxYoVAYiJiaFDhw74+vqyb98+HnvssXQ/R7b873//A6BLly6pPnbXrl0cPnyYSpUqATBx4kT69OnDqlWrmDx5MmPGjAGMx9K3b1/u3r2Lr68v7dq1s9Rx9epVHn30UQYPHkxAQABOTk4AdOjQgRs3blCkSJEE5zxy5AitWrXi/fffZ8OGDQB4tWtH5UqVmPHttzRs8AjjTOe1Nm/B/yhfvjzHDvnh4uKSYF9gYGCqH3tmkCFUQgghhBBCCJHHWA/Fyem3rDJjxgwcHBxYuHBhfPDGZMyHH1KiRAmWLV+e5DgXFxemfvWVJXgDUKd2bVq1bIH/yZMJAi1Llv4AwIRx4yzBGwA3NzfGfPhButr/ySefWII3YPSIGThwIAD79u1LULZXr174+/szceLEdJ1z//79fPrppxQpUoQJEyak+vjhw4dbgjdgDMmaPHkydnZ2LFy40LJ9/fr1nDt3jjfffDNB8AagXLlyjB49muvXr7NlyxbL9tKlSycJ3gA0aNDAEtiKjo5OVXsLODgkuM5mJUuWTFU9mSXX9cBRSj0DtAMaAg2AIsAyrXX/BxyjgJeAgcAjQEHgOrAf+FhrfdrGMT7AUKAOEAscAr7WWq/LyMcjhBBCCCGEECJzhYeHc+TIEUqWLMn06dMT7oyNAcDJyQn/kyeTHOtZvTpFixZNst2jQgUAQkJCLIGEQ0eOYGdnR8sWLZKUb92yZboeQ9OmTZO2wcMDgODg4ATbXV1dcXV1Tdf5Tp8+Tffu3YmOjmb58uVUq1Yt1XUkDsYAVK1aFQ8PDwICAggJCcHNzY09e/YAcPHiRcaNG5fkmDNnzgDg7++fYBjV+vXrmTt3LgcOHCAwMJCYmJgExwUGBlK2bNkUtfWF555j5uzZ1G3YiD69vWnXpi0tmjdL9/OYkXJdAAf4GCNwcxe4DNR6UGGllDOwAngKOAX8CNwBygFtgBrA6UTHfA28bar/O8AReA74XSn1ptb62wx8PEIIIYQQQgghMlFwcDBaa27dumVJGpxSbm62v8Cbc8LExsZatoWGhlK8eHGb+WLKlCmTqvMmbYdbitqQEc6cOUP79u0JCgpi+fLl9OjRI031JPeY3d3duXjxIqGhobi5uXH79m0AVjwkWfDdu3cty9988w3Dhw+nWLFidOzYkYoVK+Li4oJSijVr1nDkyBGbiamTM+3ryVSrWpWFS5YwafLXTJr8NQ4ODnTr0oUpX35J9eqpD2BltNwYwBmJEVg5i9ETx/ch5adgBG8mYvS2ibPeqZQqkGi9JUbw5hzwqNY62LR9MnAQ+FoptU5rHZD+h5LByld88H7r7olaZ25bROaQa5w/yHXO++Qa531yjfMHuc55Xy6+xjqHtSe7mXtRNGrUCD8/v9QdfPce/HvUWLbuBWNnGmrj6GTcgKJFixIUFESMnX2SIM6Na9eNBWVnKZ8T+fv78/jjj3P79m1WrFhBz54901zXjRs3qFmzZpLt168bz4X5upjvf/vttxQFi2JiYhg7dizu7u74+fkl6WVj7tFjYXWNsLNP+vwfOIA9MLxdO4a//TY3b95k586dLF++nBUrVnDc35/jx49b8u/YpOzA0fHhfzfSIdflwNFa+2qtz+gU/EVSSlUDXsMYKvVR4uCNqb7Eg+JeM91/bg7emMoFALMAJ4yhWEIIIYQQQgghcoHChQtTt25djh8/TlBQUKadp1GjRsTFxbF79+4k+3bu3GnzGHPOlYzuRZMWR48excvLi6CgIH799dd0BW8A/v777yTbzp8/z6VLl6hcubKlV1Hz5s0B2LFjR4rqDQwMJCQkhJYtWyYJ3ty9e9dmkC41z3Pp0qXx9vbml19+oUOHDpw7d45jx46lqG2ZKTf2wEmN5zGCVEuAokqp7oAHcBvYqrU+a+OYDqb7jTb2bQDGmMqMfdjJlVIHk9lVKy4ujm3btj2sigzlZbWc1ecWWcPLalmucd7lZbWcldfZnKBPXluZz8tqOb883/nt9eVltZxfHnN2yc7XlpfVslznvMnLajmrr7GLiwsuLi5JZirKzx72XLzxxhsMHTqUl156iTlz5iQZkhQcHMzFixdp2LBhis5hTpB79+5dy/Y+ffqwdetWPvjgA9auXWtJZBwaGmoZuhUbG5ugnkKFCgFGzhnrmaTMgQZb5zELDw8HIDIyMsG+0NBQbty4QdGiRXF3d3/g82L277//0qNHD+7fv89PP/1Eu3bt0vz6Mrd5+vTpeHt7W5Ivx8XFMXLkSOLi4ujXr5+l/g4dOlClShVmzZpFs2bN6Ny5c5I6//nnH+rXr4+LiwsFCxbExcWFAwcOcO3aNQoXLmw574gRIyyzRlk/Zw4ODiiluHDhQpLH5RgVxc7Dh+nw6KPcTXSNzXVprR/4fMTGxhIeHv7QvwXpec/m9QDOo6Z7V4whUSWs9mml1BzgLa11LIBSqhBQHrirtb5mo74zpvsamdReIYQQQgghhBBp8NprryW7b+rUqbz44oscOnSIBQsW0KBBAx5//HE8PDwsgZtdu3bRv3//pEmOU6Ffv378+uuv/PXXXzRr1oxu3boRHR3N2rVradSoEWfOnMHOLuFAmLZt22JnZ8e4ceM4ceKEJbD09ttvp7kd69at4/XXX6dfv37MnTv3oeWDg4Pp3r07wcHBeHl5sW/fviQzW4ERBLOViyc5zZs3p3Xr1nh7e1O0aFG2bNnC0aNHadSoESNGjLCUK1CgAMuWLaNXr1706dOHZs2aWYI1ly9fxs/Pj4CAAM6cOYOLiwt2dna89tprTJ06lRYtWtCtWzeioqLYsWMHwcHBtG3blu3btydoS+HChWnatCm7d+9m8ODBVK9eHXt7e7p160btyEieGDqUyuXK0bh5cypWrEhERAS+vr6cOnWKbt262RwKluW01rn2hhH01sAPyezfY9ofg9Gjph5QGKMHzRnTvnFW5cuZtl1Opr4Cpv2R6Wz3QU9PT53ljJG5xk3kTXKN84dsus6+vr7a19c3S8+Zb+XD93K+e33lw2ucXbL1tSXXOe/Lxmt84sQJfeLEiSw/b05k+o72wFtwcLCl/O+//66ffPJJXapUKV2gQAFdpkwZ/eijj+qPPvpI+/v7J6m7XePGWu/fb9ys+Pj4aEBfuHAhwfb79+/rMWPG6MqVK2tHR0ddqVIl/eGHH+rLly9rQPfs2TPJY1i6dKlu0KCBdnZ2trQ5LCxMh4WFJXserY2/cYAeO3Zsgu2LFi3SgPbx8UnRc3jhwoUUPY+22mCLuc3nzp3TX3/9ta5Zs6Z2cnLS5cqV08OHD9ehoaE2j7tx44Z+7733dN26dXXBggV1oUKFdPXq1XXv3r310qVLdXR0tKVsdHS0njJliq5du7Z2dnbWZcqU0f3799cBAQHJPmdnzpzRTz31lC5evLhWSmlAL1q0SEft2aO/fPNN3aVFC+3h4aGdnJx0yZIldbNmzfScOXN0ZGTkQx9zSt+TjRs31sBBnYZYgtK5OLmVUsoLI4mxzWnElVL7MHrhXAZqaK3vW+1rAPgB94CSWusopVQ54ApwRWtdwUZ9BYAojACOczrafdDT07Px6dNJZi/PXDk4yZrIIHKN84dsus7m7qBeXl5Zds58Kx++l/Pd6ysfXuPskq2vLbnOeV82XmN/f38AateunaXnzZcOHIhftjGVd0pt3ryZTp068f777zNx4sSHljcPtTFPUS4yUQZc45S+J5s0aYKfn5+f1rpJas+R65IYp5I5CfFG6+ANgNb6CHABKAKYn+FQ031yE727JionhBBCCCGEEEJYXL16Ncm227dv8/777wPQq1evrG6SyCPyeg6cU0AnICSZ/eYAT0EArfU9pdQVoLxSqqxOmgfH03SfxV1nhBBCCCGEEELkBqNGjeLIkSO0bNmSUqVKcfnyZTZs2EBQUBCvvvpqgkTFQqRGXg/gbAHexMh9k4BSyon4gEyA1a6twItAF2BRosO6WpURQgghhBBCCCES8Pb25saNG/z++++EhITg7OxM3bp1GTRoEC+//HJ2N0/kYnk9gLMBOA90Vkp11Fpvtto3BmNI1N9a6+tW2+diBHA+Ukqt0VoHAyilKgNDgUiSBnaEEEIIIYQQQgj69u1L3759s7sZIg/KdQEcpdTTwNOmVfOE9i2UUotNy4Fa63cATImJfYA/gQ1KqdXARYzExm2BW8AQ6/q11ruVUlOBUcC/SqmVgCPwLFAceFNrHZApD04IIYQQQgghhBDChlwXwAEaAj6JtlU13cAI0Lxj3qG13qmUagqMBdoDbsANYD7wmdb6cuITaK3fVkr9CwzDCPDEYcxYNVlrvS4jH4wQQgghhBBCCCHEw+S6AI7WehwwLpXHnMDoQZOaY5YAS1JzjBBCCCGEEEIIIURmyOvTiAshhBBCCCGEEELkehLAEUIIIYQQQgghhMjhJIAjhBBCCCGEEEIIkcNJAEcIIYQQQgghhBAih5MAjhBCCCGEEEIIIUQOJwEcIYQQQgghhBBCiBxOAjhCCCGEEEIIIUQONWDAAJRSBAQEZHdTUiw3tjk3kACOEEIIIYQQQohcSymFUiq7m5Fm48aNQynFtm3bsrspCQQGBuLu7o5SitatW2d3c9ItICAApRQDBgzI7qakmQRwhBBCCCGEEEIIkcCrr77KvXv3srsZwooEcIQQQgghhBBCCGHx/fffs2rVKr766qvsboqwIgEcIYQQQgghhBD5xk8//UT79u0pVqwYzs7O1K5dmwkTJhAZGZmkrFIKr1dfJTAkhCGff07ZsmVxcnKibt26LFq0yGb9kZGRjBs3jqpVq+Lk5ESVKlX4+OOPiYyMNOrz8rKUrVy5Mp9++ikA7du3twwHS25I2Lx586hfvz7Ozs6UKVOGIUOGEBoamv4nxcp///3HW2+9xeDBg+natWu66oqLi2Pq1KnUqlULZ2dnKlSowMiRIwkLC7NZ/vLlywwbNszy3JUoUYIePXqwf//+JGWvXr3K+PHjadWqFe7u7jg6OlKuXDn69euHv79/grLjxo2jSpUqACxZsiTB87x48WIAtNYsWbeOli1bUqpUKZydnfHw8KBz5878/PPP6XoeMopDdjdACCGEEEIIIYTICoMHD2bhwoVUqFABb29v3Nzc2Lt3L2PGjGHLli1s3rwZB4eEX5ND7tyh1eDBOBYowDPPPENERAQrV65k0KBB2NnZ4ePjYymrtaZ3796sX78eT09Phg0bRnR0NIsXL+b48eNJ2jNixAjWrFnD33//jY+PD5UrV0627aNHj2bTpk10796dTp064evry3fffcfZs2fZunVrgrKLFy9m4MCB+Pj4WAIUKaG1ZsCAAbi6ujJ16lSCgoJSfKwtI0eOZPv27fTt25eePXuyadMmpk+fzo4dO9i5cyfOzs6Wsn5+fnTq1ImgoCA6d+6Mt7c3gYGBrFmzhtatW7N69Wq6detmKb99+3YmTZpE+/bt6d27N4ULF+bMmTOsXLmStWvXsmvXLho0aACAl5cXISEhzJgxgwYNGvD0009b6mnYsCHExPDR7NlMXLyYKlWq0LdvX1xdXbl27Rr79+9nxYoVPPvss+l6LjKE1lpuWXwDDnp6euosB/E3kTfJNc4fsuk6+/r6al9f3yw9Z76VD9/L+e71lQ+vcXbJ1teWXOe8Lxuv8YkTJ/SJEyey/Lw5EaBJwTVYtGiRBnSvXr10eHh4gn1jx47VgJ4+fbrNugf37Klj9u61bD9+/Li2t7fXtWvXTlD++++/14Bu06aNjoyMtGwPDg7WNWvW1IBu166dzXMn/lsVFhamw8LCtI+Pjwa0h4eHvnjxomV/dHS0btOmjQb0P//8Y/Ox+vj4PPR5sTZ16lStlNKbN2/WWmt94cIFDehWrVqlqh5zm0uUKKEDAgIs22NjY7W3t7cG9Pjx4xM8lmrVqmknJye9bdu2BHVduXJFlytXTru7u+uIiAjL9hs3buiwsLAk5z58+LAuVKiQ7tKlS4Lt5sdi8znZv18Xd3XV5UuX1vfu3Uuy+9atWw99zCl9TzZu3FgDB3UaYgkyhEoIIYQQQggh8hilcs8tq8yYMQMHBwcWLlxIwYIFE+wbM2YMJUqUYNmyZUmOc3F2ZuqIEdjb21u21alTh1atWuHv78+dO3cs25csWQLAhAkTcHR0tGx3c3NjzJgx6Wr/J598QsWKFS3rDg4ODBw4EIB9+/YlKNurVy/8/f2ZOHFiius/ceIEH374Ia+99hpPPPFEutpqNnz4cCpVqmRZt7OzY/LkydjZ2bFw4ULL9vXr13Pu3DnefPNN2rVrl6COcuXKMXr0aK5fv86WLVss20uXLk2RIkWSnLNBgwZ06NABX19foqOjU9XeAg4OCa6zWcmSJVNVT2aRIVRCCCGEEEIIIfK08PBwjhw5QsmSJZk+fbrNMk5OTklypwB4enhQtHDhJNs9PDwACAkJsQQSDh06hJ2dHS1btkxSPr1TcTdt2jTZNgQHByfY7urqiqura4rrjo6O5sUXX6Rs2bIZmrg4cTAGoGrVqnh4eBAQEEBISAhubm7s2bMHgIsXLzJu3Lgkx5w5cwYAf3//BMOo1q9fz9y5czlw4ACBgYHExMQkOC4wMJCyZcumqK0vdOnCzJ9/pm7duvTp04d27drRokWLVD2PmU0COEIIIYQQQggh8rTg4GC01ty6dcuSNDil3Gz08gAsuXJiY2Mt20JDQylevHiSPDoAZcqUSdV5k7TDzS1FbUiLiRMncujQIXx9fSlsI1iVVsk9Znd3dy5evEhoaChubm7cvn0bgBUrVjywvrt371qWv/nmG4YPH06xYsXo2LEjFStWxMXFBaUUa9as4ciRIzYTUydn2siRVCtfnoV//cWkSZOYNGkSDg4OdOvWjSlTplC9evUU15VZJIAjhBBCCCGEEHmMkXpTmJl7UTRq1Ag/P79MO0/RokUJCgoiJiYmSRDnxo0bmXbe9PLz80NrnWCGLGu7du1CKYWrqyshISEprvfGjRvUrFkzyfbr168D8dfFfP/bb7/Ro0ePh9YbExPD2LFjcXd3x8/PL0kvG3OPntSwt7dn+PPPM3zKFG7evMnOnTtZvnw5K1as4Pjx4xw/fhwnJ6dU15uRJIAjhBBCCCGEECJPK1y4MHXr1uX48eMEBQVRvHjxTDlPo0aN2Lp1K7t376Zt27YJ9u3cudPmMeacK+ntRZMeHTt2tJnn5e7du/z888+UKVOGp556ChcXl1TV+/fffyd5Hs6fP8+lS5eoXLmypVdR8+bNAdixY0eKAjiBgYGEhITg7e2dJHhz9+5dm0G61DzPpUuXxtvbG29vbx5//HG2bt3KsWPHaNKkyUOPzUySxFgIIYQQQgghRJ43atQooqKiGDRokM1eJMHBwenunfPSSy8B8PHHHxMVFWXZHhoaymeffWbzmBIlSgDw33//pevc1kJDQzl58iTXrl1LUfmhQ4eyYMGCJLdJkyYBUL16dRYsWMA333yTqnbMmDGDixcvWtbj4uJ49913iYuLsyRgBujZsyfVqlVj1qxZ/PHHHzbr2rNnD+Hh4YARYHFxceHgwYMJhlVFR0czfPhwAgMDkxxfrFgxlFI2n+fIqCi27NtnnjU6QX3mqdRTG7zKDNIDRwghhBBCCCFErjdgwIBk982ePZtBgwZx8OBBZs+eTbVq1ejcuTMVK1YkKCiICxcusH37dgYOHMjcuXPT3IaXXnqJ5cuXs3HjRurVq0ePHj2Ijo7m119/pWnTppw6dQo7u4T9KNq3b4+dnR0ffPABx44do1ixYoAxg1NarV69moEDB+Lj48PixYvTXE96tWrVioYNG/Lss8/i6urKpk2bOHLkCE2aNGH06NGWcgUKFGDVqlV07tyZJ598kpYtW9KwYUNcXFy4dOkS+/fv5/z581y7dg0XFxfs7Ox46623mDRpEvXr16dnz55ERUXh6+tLUFAQ7du3x9fXN0FbChcuTLNmzdixYwcvvPACNWrUwN7enh49elAxMpInhg6lcrlyNGvThkqVKhEREcHmzZvx9/enR48e1K5dO6ufviQkgCOEEEIIIYQQItczT+Fty/Tp03FxcWHWrFl07dqVuXPn8tdffxESEkLx4sWpWLEi7777Lv37909XG5RSrF69mi+++IKlS5cyc+ZMypYti4+PD2+88Qa//fYbRYsWTXBM7dq1WbJkCV9//TWzZ88mIiICSF8AJ6eYNm0aq1ev5rvvviMgIIASJUowfPhwxo8fj7Ozc4KyjzzyCEeOHGHq1KmsW7eORYsWYWdnR9myZWnUqBGffvppgmFen332GaVKlWLBggXMmzcPV1dXOnbsyIQJExg7dqzN9ixdupSRI0eyceNGfvrpJ7TWVKhQgdq1avHlm2/ie+AAu3fvZs2aNRQpUoRq1aoxZ84cBg0alKnPU0qpxF2EROZTSh309PRsfPr06aw+cfyyXPe8Sa5x/pBN13nbtm0AySa3ExkoH76X893rKx9e4+ySra8tuc55XzZeY/N01zmhV0Ced+BA/LKNqbxTavPmzXTq1In333+fiRMnPrT8nTt3ACxTlItMlAHXOKXvySZNmuDn5+entU51Qh3JgSOEEEIIIYQQQmSQq1evJtl2+/Zt3n//fQB69eqV1U0SeYQMoRJCCCGEEEIIITLIqFGjOHLkCC1btqRUqVJcvnyZDRs2EBQUxKuvvspjjz2W3U0UuZQEcIQQQgghhBBCiAzi7e3NjRs3+P333wkJCcHZ2Zm6desyaNAgXn755exunsjFcl0ARyn1DNAOaAg0AIoAy7TWSbJNKaU8AW+gM+AJlAGCgb3AdK21b+JjrI71AYYCdYBY4BDwtdZ6XUY+HiGEEEIIIYQQeUffvn3p27dvdjdD5EG5MQfOx8AwjADOlYeU/QyYhBG4+QOYAuwCngS2KqXesnWQUuprYDFQFvgO+AGoD/yulBqW7kcghBBCCCGEEEIIkQq5rgcOMBK4DJzF6ImTbC8aYCPwpdb6kPVGpVQ7YDMwWSm1Qmt9zWpfS+Bt4BzwqNY62LR9MnAQ+FoptU5rHZBxD0kIIYQQQgghhBAiebmuB47W2ldrfUanYP5zrfXixMEb0/a/gW2AI9Ay0e7XTPefm4M3pmMCgFmAEzAwba0XQgghhBBCCCGESL1cF8DJQNGm+5hE2zuY7jfaOGZDojLCyvXr1zl27BgxMYmfUiGEEEJkpejoaI4dO8aNGzeyuylCCCGEyCC5cQhVuimlKgGPA+HAdqvthYDywF3rYVVWzpjua6TwPAeT2VUrLi6Obdu2pbjNGcHLajmjzh0bG8s///zDunXr+Oeff4iLi6NkyZJ07dqVbt264e7uniHnESnjZbWc1a8vkXW8rJaz8jrfuXMny8+ZX3lZLeeX5zu/vb68rJYz8jFfu3aN9evXW6artbOzo0WLFjz11FM8+uij2NvbZ9i5covsfG15WS3nl9d2fuNltZzV19jFxQUXFxfLa1xkniJWy1n5fMfGxmb5OfOrjLjGsbGxhIeHP/RvQXquZ74L4CilnIBlGEOhRlsPkwJcTfehyRxu3u6WOa3LXYKCgnj33Xc5f/58gu2BgYEsXbqUZcuWMWLECLp3755NLRRCCCHyjzVr1vDNN99gPco8Li6OXbt2sWvXLjw9Pfnqq69wc3PLvkYKIYQQIs1UClLJ5FhKKS+MJMY2pxG3Ud4e+AnoA/wMPG+dS0cpVQ5jZqsrWusKNo4vAEQBkVpr53S0+6Cnp2fj06dPp7WKtJ44fjmd1/3u3bt4eXlx8GDCTkaurq6EhsbHvwoUKMChQ4eoW7duus4nUigDr7HIwbLpOpt/TfDy8sqyc+Zb+fC9nO9eXxl8jQ8fPsyjjz6aYBizm5sbISEhCco1b96cLVu24OLiku5z5hbZ+trKh+/lfCcbr7G/vz8AtWvXztLz5ksHDsQvN22aZac199QoUqTIQ0qKdMuAa5zS92STJk3w8/Pz01o3Se058k0OHFPw5geM4M0vQH8biZDNkQdXbHtYD518ISYmhr59+1qCN3Z2drz77rucOXOGmzdvsnLlSurUqQMYY/AHDhwoeXGEEEKITJL4f239+vVZvXo1N2/e5OTJk4waNQpl+pK5d+9e+vXrZ+mWL4QQQojcI18EcJRSDhg9b54DfgT6aa2TRBS01vcweuAUVkqVtVGVp+k+i7vO5Bxaa15//XU2bNhg2TZ79my++uorqlevjqOjI71792bFihU4OjoCsH//fqZNm5ZdTRZCCCHytC+//JLDhw8D4OzszK+//srTTz9NgQIFqFmzJlOmTOGbb76xlP/tt98YPnx4NrVWCCGEEGmV5wM4SilHYCVGz5vvgRe11g/62Wmr6b6LjX1dE5XJd1asWMGCBQss6x999BGvvvpqknJ16tRh7NixlvUxY8Zw6tSpLGmjEEIIkV8cO3aM8ePHW9YnTJiAp6dnknLDhg3j3XfftazPmjWL3377LUvaKIQQIn0GDBiAUoqAgIDsbkqK5cY25wZ5OoBjSli8GugJ/A8YqLWOe8hhc033HymlilnVVRkYCkQCizK+tTnfvXv3ePvtty3r/fv357PPPku2/LvvvkujRo0AiIyMZNSoUZneRiGEECI/GTlyJNHR0QA0a9aMESNGJFt20qRJ9O3bN8Gx9+/fz+wmCiFEplNKWYaK5kbjxo1DKZVjZqsLDAzk3XffpVatWhQsWBA3NzcaNWrEe++9l91NS5eAgACUUgwYMCC7m5JmuW4WKqXU08DTplXzHNUtlFKLTcuBWut3TMtzgW5AIMbQqE9svLG3aa23mVe01ruVUlOBUcC/SqmVgCPwLFAceFNrHZBxjyj3mDhxIpcvXwagdOnSfPvttw/8Q1mgQAEWLVpEw4YNAdi0aRO3b9+mRIkSWdFcIYQQIk+7fv06W7ZsAYx8dAsXLnzgNOF2dnbMnj2bv/76i6CgIC5cuMDXX3/NmDFjsqrJQgghcrhDhw7RuXNnbt++TadOnXj66aeJiIjg/Pnz/PLLL3z55ZfZ3cR8LdcFcICGgE+ibVVNN4CLgDmAU8V0XxL45AF1brNe0Vq/rZT6FxgGDAHiAD9gstZ6XVobnpudO3eOyZMnW9YnTpyIq2tyuZ7jNWjQgObNm7N3715iY2NZu3YtAwcOzMymCiGEEPnCmjVrLFOGt2nTxjKBwIOUKFGCzz//nNdffx0w/p/7+PhQsWLFTG2rEEKInC84OJju3bsTFRXFrl27aN68eYL95h6fIvvkuiFUWutxWmv1gFtlq7JeDymrtNbjkjnPEq31o1rrQlrrIlrrdvk1eANGN+uoqCgAHnvssVR1O+vdu7dl+ddff83opgkhhBD5kvX/VOv/tQ/zyiuvWHrH3r9/n3feeefBBwghRB7z008/0b59e4oVK4azszO1a9dmwoQJREZGJimrlMLr1VcJDAlhyOefU7ZsWZycnKhbty6LFtnOrBEZGcm4ceOoWrUqTk5OVKlShY8//pjIyEijPi8vS9nKlSvz6aefAtC+fXvLcLDkRjrMmzeP+vXr4+zsTJkyZRgyZAihoRkzSfK0adO4cuUKn3/+eZLgDRgjLFIrLi6OqVOnUqtWLZydnalQoQIjR44kLCzMZvnLly8zbNgwy3NXokQJevTowf79+5OUvXr1KuPHj6dVq1a4u7vj6OhIuXLl6Nevn2VKb7Nx48ZRpYrRv2PJkiUJnufFixcDxoQ9S9ato2XLlpQqVQpnZ2c8PDzo3LkzP//8c6ofe2bIjT1wRBbbunUrv//+u2V95syZ2NmlPPbn7e1tSZy4efNmwsLCKFq0aIa3UwghhMgvgoKC8PX1taz36tUrxcfa29szc+ZM2rRpAxgTFOzcuZPWrVtneDuFECKnGTx4MAsXLqRChQp4e3vj5ubG3r17GTNmDFu2bGHz5s04OCT8mhxy5w6tBg/GsUABnnnmGSIiIli5ciWDBg3Czs4OH5/4ASJaa3r37s369evx9PRk2LBhREdHs3jxYo4fP56kPSNGjGDNmjX8/fff+Pj4ULly5WTbPnr0aDZt2kT37t3p1KkTvr6+fPfdd5w9e5atWxPOs7N48WIGDhyIj4+PJUDxMD/++CP29va8+OKLnDhxgi1bthAeHk61atXo0qULhQsXTlE91kaOHMn27dvp27cvPXv2ZNOmTUyfPp0dO3awc+dOnJ2dLWX9/Pzo1KkTQUFBdO7cGW9vbwIDA1mzZg2tW7dm9erVdOvWzVJ++/btTJo0ifbt29O7d28KFy7MmTNnWLlyJWvXrmXXrl00aNAAAC8vL0JCQpgxYwYNGjTg6aefttTTsGFDiInho9mzmbh4MVWqVKFv3764urpy7do19u/fz4oVK3j22WdT/fgznNZabll8Aw56enrqLAfxt1Ro3769BjSgBwwYkKZTN2zY0FLHjz/+mKY6RAqk8RrnRBcvXtQdO3bUvXv31kFBQdndnJwlm66zr6+v9vX1zdJz5lt56L2cUvnu9ZXOa7xo0SLL/9VmzZqlqY5+/fpZ6ujYsWOa6sgNsvW1lQ/fy/lONl7jEydO6BMnTmT5eXMi89+yhzH/7ezVq5cODw9PsG/s2LEa0NOnT7dZ9+CePXXM3r2W7cePH9f29va6du3aCcp///33GtBt2rTRkZGRlu3BwcG6Zs2aGtDt2rWzee7Ef6vCwsJ0WFiY9vHx0YD28PDQFy9etOyPjo7Wbdq00YD+559/bD5WHx+fhz4vWmsdFBSkAV2jRg09cuRIrZSyPHZAlyhRQq9fvz5FdWmtLW0uUaKEDggIsGyPjY3V3t7eGtDjx49P8FiqVaumnZyc9LZt2xLUdeXKFV2uXDnt7u6uIyIiLNtv3Lihw8LCkpz78OHDulChQrpLly4Jtl+4cCH552T/fl3c1VWXL11a37t3L8nuW7duPfQxp/Q92bhxYw0c1GmIJUgPHPFAu3fvtvzCZ29vzyefPCiVUPJ69+7N4cOHAVi1ahXPP/98RjVR5EFxcXG88MIL7Ny5E4DChQun+JcDIYTID1atWmVZTs3wKWuffvopy5cvJy4ujs2bN7Nnzx5atGiRUU0UQmQz9WnumZVJj9VZcp4ZM2bg4ODAwoULKViwYIJ9Y8aM4dtvv2XZsmUMHz48wT4XZ2emjhiRIFF8nTp1aNWqFdu3b+fOnTsUKVIEMIbnAEyYMAFHR0dLeTc3N8aMGUP//v3T3P5PPvkkQc4yBwcHBg4cyI4dO9i3bx+PPfaYZV+vXr1o3rx5ivKWAty8eRMwcp/OnDmTL7/8kpdeegmtNT/88AMffPABvXv3xs/Pj9q1a6e4zcOHD6dSpUqWdTs7OyZPnsyaNWtYuHChJZH++vXrOXfuHO+88w7t2rVLUEe5cuUYPXo0I0aMYMuWLZZeOKVLl7Z5zgYNGtChQwf+/PNPoqOjUzX0q4CDg80JAUqWLJniOjKTBHDEA33++eeW5f79+1vGDaaWt7e35c35xx9/EB4ejouLS4a0UeQ9S5YssQRvzOsDBw5M8sdcCCHyozt37vDnn39a1r29vdNUT/Xq1XnhhRdYunQpAJ999hl//PFHhrRRCCFymvDwcI4cOULJkiWZPn26zTJOTk5JcqcAeHp4UNTG8CEPDw8AQkJCLAGcQ4cOYWdnR8uWLZOUT+9Q1aZNmybbhuDg4ATbXV1dUxy8AYiNjbXcv/3225YUGADvvPMO165dY+rUqUyfPp158+aluF5bn9+rVq2Kh4cHAQEBhISE4Obmxp49ewC4ePEi48aNS3LMmTNnAPD3908wjGr9+vXMnTuXAwcOEBgYSExMTILjAgMDKVu2bIra+kKXLsz8+Wfq1q1Lnz59aNeuHS1atEjV85jZJIAjkuXn52f5IKeU4oMPPkhzXXXq1KFWrVqcPHmS8PBw/vzzzwTjDoUwCwwMTPAPw+z111/n8OHDCX7JEEKI/OiPP/6wJNps0KAB1apVS3NdH330ET/88ANaazZs2MD+/ft59NFHM6qpQgiRYwQHB6O15tatW5akwSnlZgrOJGbOlWMOfgCEhoZSvHjxJHl0AMqUKZOq8yZph5tbitqQFsWKFbMs28qr1qtXL6ZOncq+fftSVW9yj9nd3Z2LFy8SGhqKm5sbt2/fBoy8bA9y9+5dy/I333zD8OHDKVasGB07dqRixYq4uLiglGLNmjUcOXLEZmLq5EwbOZJq5cuz8K+/mDRpEpMmTcLBwYFu3boxZcoUqlevnuK6MosEcESyvvjiC8tynz59qFmzZrrq8/b2ttT566+/SgBH2PTee+9Z/oB7eHgQEhLCnTt38Pf3Z8qUKekKJAohRF5gPftUWnvfmNWsWZPnnnuOn376CTB64axduzZddQohcoasGpaUW5h7UTRq1Ag/P79MO0/RokUJCgoiJiYmSRDnxo0bmXbe9CpbtixFixYlLCzMZqDIHOC5f/9+quq9ceOGze+R169fB+Kvi/n+t99+o0ePHg+tNyYmhrFjx+Lu7o6fn1+SXjbmHj2pYW9vz/Dnn2f4lCncvHmTnTt3snz5clasWMHx48c5fvw4Tk5Oqa43I+W6acRF1jhx4kSCD4gffvhhuuu0HqO/adMmc0JnISx27drFwoULLeuzZ8/ms88+s6yPHz+egICAbGiZEELkDFpr/vrrL8t6egM4YPTCMU9X+/vvv3Po0KF01ymEEDlN4cKFqVu3LsePHycoKCjTztOoUSPi4uLYvXt3kn3WKQKsmXOupLcXTXp16NABgGPHjiXZZ972oFmybPn777+TbDt//jyXLl2icuXKlmCRedryHTt2pKjewMBAQkJCaNmyZZLgzd27d20G6VLzPJcuXRpvb29++eUXOnTowLlz52w+L1lNAjjCpokTJ1qWu3fvbpl+LT0aNmxoeYPeunWLc+fOpbtOkbfMmTPHstyrVy+eeuophg4dSqNGjQCIiIiwJIYTQoj86OzZs5Y8ByVKlKBu3brprrNu3bo888wzlnXrzwBCCJGXjBo1iqioKAYNGkRISEiS/cHBwenunfPSSy8B8PHHHxMVFWXZHhoamuCHSWslSpQA4L///kvXua2FhoZy8uRJrl27luJjhg4dChgJmK2fn5CQEEvbn3vuuVS1Y8aMGVy8eNGyHhcXx7vvvktcXBwDBw60bO/ZsyfVqlVj1qxZyeZj27NnD+Hh4YARYHFxceHgwYMJhlVFR0czfPhwAgMDkxxfrFgxlFI2n+fIqCi27NuXpJNBdHS0JeCXE3K4yhAqkcS5c+csXanB+GUuI9jZ2dGiRQs2bNgAGDNc5YRxhCJn0Fqzbds2y/r7778PGON63377bUvGflu/ZgghRH5hnXvgscces/ScSa8PPvjAkndg5cqVnD59mho1amRI3UIIkVUGDBiQ7L7Zs2czaNAgDh48yOzZs6lWrRqdO3emYsWKBAUFceHCBbZv387AgQOZO3dumtvw0ksvsXz5cjZu3Ei9evXo0aMH0dHR/PrrrzRt2pRTp05hZ5ewH0X79u2xs7Pjgw8+4NixY5bhSolnw0qN1atXM3DgQHx8fFI8m+sTTzzBm2++ycyZM6lXrx7du3cHYN26dVy+fJmnn37aEqBKqVatWtGwYUOeffZZXF1d2bRpE0eOHKFJkyaMHj3aUq5AgQKsWrWKzp078+STT9KyZUsaNmyIi4sLly5dYv/+/Zw/f55r167h4uKCnZ0db731FpMmTaJ+/fr07NmTqKgofH19CQoKon379pbZlM0KFy5Ms2bN2LFjBy+88AI1atTA3t6eHj16UDEykieGDqVyuXI0a9OGSpUqERERwebNm/H396dHjx6pmn0rs2R4AEcp5QiUBO5rrYMfVl7kPF9++aWlW9kTTzxBs2bNMqzuli1bJgjgpPYPgMi7zp8/z5UrVwAoUqQIjRs3tuxr1aqVZXnPnj3ExsbanN5PCCHyusQBnIzSqFEjunbtyoYNG9Ba89VXX7FgwYIMq18IIbLCg3pqT58+HRcXF2bNmkXXrl2ZO3cuf/31FyEhIRQvXpyKFSvy7rvvpmuabzAmf1m9ejVffPEFS5cuZebMmZQtWxYfHx/eeOMNfvvtN4oWLZrgmNq1a7NkyRK+/vprZs+eTUREBJC+AE5affPNNzRt2pTZs2ezdOlSYmNjqVWrFqNHj+aNN95IEnx6mGnTprF69Wq+++47AgICKFGiBMOHD2f8+PE4OzsnKPvII49w5MgRpk6dyrp161i0aBF2dnaULVuWRo0a8emnnyaYzvuzzz6jVKlSLFiwgHnz5uHq6krHjh2ZMGECY8eOtdmepUuXMnLkSDZu3MhPP/2E1poKFSpQu1YtvnzzTXwPHGD37t2sWbOGIkWKUK1aNebMmcOgQYNS/2RmApXePCRKqSLAc0BHoC1Qymp3DPAvsBVYpbX+J10nyyOUUgc9PT0bnz59OqtPHL+czHW/fPkyVatWJTo6GgBfX1+8vLwyrAlbt27l8ccfB+LfoCIDpeAa51QLFy5k8ODBAHTp0sUS6AOjd0758uUtXUCPHDnCI488ki3tzBGy6Tqbe0hl5N8EkYxc/F5Oq3z3+krjNW7RogV79+4FjKlTradSTa8dO3bQtm1bwPgl9Pz581SoUCHD6s8u2frayofv5XwnG6+xebrrnNArIM87cCB+2cZU3im1efNmOnXqxPvvv5+i4ap37twBsExRLjJRBlzjlL4nmzRpgp+fn5/Wuklqz5HmHDhKqfJKqbnAVWAe8AzgCJwC9gCHgWtAQ+BdYLdS6qBS6vm0ntN03meUUjOVUjuUUmFKKa2U+uEhx7RUSv2hlApSSoUrpf5VSo1QSiX7E75SykcptU8pdVcpFaqU2qaUeio9bc8NJk+ebAnetGrVinbt2mVo/Y899pglanv06FHCwsIytH6Re1knOEv8ulNK0bJlS8u6DKMSQuRH0dHRCRIMZ/R0323atLH0eIyOjmbq1KkZWr8QQuQXV69eTbLt9u3blhQBtqbpFiIl0hTAUUp9ihGoGQzsAAYAnlrr4lrrOlrr1lrrJlrryoAr0AH4CqN3zjKl1F6lVFp/Pv8YGIYRGLqSgrb2BLZj9A5aDczCCDRNA5Ync8zXwGKgLPAd8ANQH/hdKTUsje3O8W7evMl3331nWbeelSKjFC5c2JIQWWvNP/9Ipyxh2L59u2XZVuDQehjVrl27sqRNQgiRkxw9epTIyEgAqlSpQqlSpR5yROp98MEHluV58+Zx+/btDD+HEELkdaNGjaJ27doMHjyY999/n/79+1OjRg38/Px49dVXM3QIrMhf0toD511gPlBRa91Na/291trmlEJa63Ct9Tat9QdAJaAnUAB4Oo3nHgnUAIoCrz+ooFKqKEYAJhbw0loP1lq/ixH82QM8o5R6LtExLYG3gXPAI1rrkVrroUATIAj4WilVOY1tz9EmT57M/fv3AWjcuDFdunTJlPNITwqR2H///WeZHtzFxYWmNrotyutGCJHfWee/yejeN2bdunWzDFENDw+XXjhCCJEG3t7euLu78/vvvzN16lTWrl1LjRo1mD9/foJZV4VIrbQGcKprrUdprVM+JxmgDb+bxnrNT8uJtda+WuszOmXJe57B6PWzXGttGdSmtY7A6MkDSYNAr5nuP7dOwqy1DsDoveMEDCSPuX79OrNmzbKsjxkzJsN735jJF3GRmPXwqZYtW1KgQIEkZRo1amRJdHb+/HmuX7+eZe0TQoicILMSGFtTSiWYfXLGjBk2p2IVQgiRvL59++Lr68vNmzeJiooiLCyMPXv28Morr2TadyyRP6QpgKO1TjqoL/V1ZMW3rw6m+4029m0HwoGWSimnFB6zIVGZPOPLL7+09L5p1KgRPXv2zLRztWjRwrK8d+9ey4xXIv96UP4bM0dHxwS/OEvwTwiR32RFAAfgmWeeoV69egDcu3ePyZMnZ9q5hBBCCJFyGT6NeA5T03SfZLonrXWMUuoCUBeoCvgrpQoB5YG7yfQuOmO6r5GSkyulDiazq1ZcXJxlVoSs4mW1bH3uwMDABL1v+vTpk+ALdUbTWlO8eHGCgoIICwtjyZIlVK1aNdPOl594WS1n9esrPTZujI+XFi1aNNm2W8+G8vPPP1O8ePHMblqO5GW1nJXX2TwTQm56beVWXlbL+eX5zm+vLy+r5ZQ85vDwcE6cOAGAnZ0dd+/ezdTnqk+fPhw7dgwwppRt1qxZrv2bm52vLS+r5fzy2s5vvKyWs/oau7i44OLiYnmNi8xjPQdUVj7f5h+65Rpnvoy4xrGxsYSHhz/0b0F6rmd6ZqGqmJZbmluaNq6m+9Bk9pu3u6WxfJ7w448/WmaeqlWrFs2bN8/U8ymlqFu3rmXd/AFR5E+BgYFcuWLkI3d0dKRWrVrJlrV+3Rw/fjzT2yaEEDnF6dOnMY8er1y5MgULFszU87Vu3Zrq1asDdkREOPHTTz9n6vmEEEII8XDp6YETAKQkD401nc5zZjTzAMS0PI6HF0pmXnel1EE7O7vGXl5eqTxtxjGf+9KlS6xfv96yfdq0abRv3z7Tz9+zZ0927NgBGFPqZedzkVflluf0p59+siy3bNmSTp06JVu2Xr16fPyxkb7qzJkzNG/e3JIXJ7/Kyuts/jUht7y28or88nzn59dXSh7z/v37LcsdOnTItOcpJga+/x5mzIDLl/0xf2xbuTIUJycHXn+9EC1bQm5K4ZBTXlvZfX6R+bL6Gvv7+wNQpEiRh5QUGSkrn29zTw25xlkrrc+3vb09RYoUeegw5/Rcz/QGU2IAP9N9TmTuMeOazP6iico9rPzDeujkOu+88w5RUVGAkZumc+fOWXJe60TGe/bsyZJzipzpYdOHWytZsiQ1atTg9OnTREVFcfDgwQTTiwshRF6V2flvtIYVK2DMGDhtGXhu/THRlWXLYNkyqFMHFiwAq5R2QgghhMgCaR5CBdzFmA7cA9gGvKi1bvOwW0Y0OhVOme6T5KxRSjkAVTCCT+cBtNb3gCtAYaVUWRv1eZruk+TUyY3+/PNPfvnlF8v6xIkTsywreuPGjS0zDZ05c4bg4OCHHCHyKutflVMSjJHgnxAiP7L+W5nRU4jHxsIrr8Czz1oHbwxKaYw5H+KdOAFt2sC4cUaPHSGEEEJkjfQEcMoCQ4DLwEfAWaXURqVUb1NwJCfYarrvYmNfW8AF2K21jkzhMV0Tlcm1IiIiGDp0qGX9xRdffGjvh4zk5ORE/fr1Let+fn5Zdm6Rc0RGRvLvv/9a1ps0sTnqMAHrLy7WxwohRF4VFhbGxYsXAShQoECCfGDpFR0NL74I//tf/DZXV5gwAW7dgpgYRZ8+A4GWwDzs7O4BRtDn00+hdWu4mu65SYUQQgiREmkO4Git72mtF2itmwMNgTnAY8AvwBWl1JdKKc8H1ZEFVgKBwHNKqabmjUopZ2CCaXVOomPmmu4/UkoVszqmMjAUiAQWZVaDs8qXX37J2bNnAXBzc8uWKUKbNrVcEg4cOJDl5xfZ79ixY5YE2lWrVk3RDCfWgb+jR49mWtuEECKnMOe5AKhRo4alB2t6RUZC375glYqM/v3hwgX46CMoWRLs7GD69GkUKXIMeI24uNpUqfKfpfw//xi9cc6fz5AmCSGEEOIB0tMDx0Jr/a/W+k2gHDAAY4jRu8BJpdTWjAzkKKWeVkotVkotBt43bW5h3qaU+tqqXWHAK4A9sE0ptUAp9RVwGGiBEeBJMK2C1no3MBWoBvyrlJqmlJoFHACKA+9orQMy6vFkh9MYw6XMvvjiC8qUKZPl7bAO4Bw8mNyM6yIvs77uKel9A0YiYzN/f39ipP++ECKPM08fDlCnTp0Mq/fVV2HNmvj1N96AJUugWLGE5cqVK8f48eNNa5e4dq0O774biIOpv/X580ZPHJkcUAghhMhcGRLAMdNaR2itl5py3bTEyCfTDqidgadpCPiYbuaMu1Wttj2TqE1rTG3YDvQG3gSigVHAc9o8J2fCY97GCERdxxgm9hJwHOiutf42Ax9LlruL8SRERhqjxh599FGGDBny0OOOH4eZM+H116FdO2jZEj7+GPbtg7i4tLVFeuAI6+tu/Xp4kGLFilG+fHnAeB2fO3cuU9omhBA5RWYEcBYvNoI1Zu+8A99+a/S4sWXYsGE0aNAAgIiIe/z+exuWLr2LeSLAa9egbVs4fDhDmieEEMLKgAEDUEoREBCQ3U1JsdzY5twgQwM4AEqp1kqpJcBfQAXgP9MtQ2itx2mt1QNulW0cs0tr3U1rXUxrXVBrXV9rPU1rHfuA8yzRWj+qtS6ktS6itW6ntV6XUY8jO2jgZeCYad3JyYn58+djb2+f7DGXLhlj4+vVg7fegrlzYft22LMHPv8cmjWDihWNmStSq27dujg5OQFw4cIFbt++nfpKRK6Wlh44kLAXjgyjEkLkddYBnIzIf3PiBFilweOll+Crrx48NbiDgwMLFiyw/N8+efIk8+f3YO3aaAoXNsoEBUHnznDmTLqbKIQQqaKUyrLJWDLDuHHjUEqxbdu27G4KFy5c4LXXXqNWrVq4uLhQpkwZWrRowfz58y2zF+dWAQEBKKUYMGBAdjclzTIkgKOUKqGUGqWUOgH8DTwHbMRIBFxVa304I84j0mcaCceLzZkzh4YNG9osa05OWLMm/PDDg+u9csUYQ//220YyxJRydHTkkUcesazLMKr8JTIyMkHwpXHjxik+1joPzrFjxx5QUgghcr+M7IETHm78zw43TSxVqxbMmvXg4I1Z06ZNWWLVbcfX15cffxzCli1xuLkZ227ehI4djc8GQgghcpf9+/dTv359vvvuO6pVq8abb76Jt7c3ly5d4tVXX6V79+7YGMAislC6AjhKqSeUUj9jDJX6GnAAPgA8tNbPaK3/tDVESWS9rVu3Mtpq/bXXXmPgwIE2y96/D888Y0wPev9+/PZu3WDyZFi/Hn79FQYMgBIl4vdPnQqPPw43bqS8XTKMKv86evSoJYFxtWrVKJY46cIDSA8cIUR+cffuXUv3c3t7ezw905dW8L334nPVODvDL79g6UGTEs8++yyff/65ZX3x4sWMGNGaadPOULCgse3iRejUCaRjrRBC5C7jxo3j3r17LFy4kPXr1/Pll18yZ84cTp06RZ06dfjzzz/ZsWNHdjczX0tzAEcpdQ7YBHQHfgU6aK1raK2/0lrfzKgGivQ7ffo0zzzzDObxYs2B6dOn2ywbFGT8cmad1LBxY9i2zQjcvPOOEcjx9oZFi+DsWejRI77sjh3QtSvcu5eytkkAJ/9KS/4bM+mBI4TIL06ePGlZ9vT0xNHRMc11HTxo9LYx++YbsPpzmmIffPBBgh+B9uzZw+DBtfDymom9vZEY78QJePJJuHs3zc0VQohM89NPP9G+fXuKFSuGs7MztWvXZsKECZY8odaUUni9+iqBISEM+fxzypYti5OTE3Xr1mXRItuTE0dGRjJu3DiqVq2Kk5MTVapU4eOPPyYyMtKoz8vLUrZy5cp8+umnALRv394yHCy5IWHz5s2jfv36ODs7U6ZMGYYMGUJoaGj6nxTgvGlKwR7WX/CAQoUK8fjjjwNw69atVNUZFxfH1KlTqVWrFs7OzlSoUIGRI0cSFhZms/zly5cZNmyY5bkrUaIEPXr0YP/+/UnKXr16lfHjx9OqVSvc3d1xdHSkXLly9OvXL8EMjmAEp6pUqQLAkiVLEjzPixcvBkBrzZJ162jZsiWlSpXC2dkZDw8POnfuzM8//5z49NnCIR3HVsFIBuwLxAKDlFKDHnKM1lr7pOOcIpWCg4Pp3r07wcHBAJTFmHrLPIbd2s2b0L698aHL7N13YdKk5JMaurnB6tXw5ZdGUuO4ODh0CAYOhJ9/fniXbAng5F9pzX8DULt2bZRSaK05e/Ys9+/fp6D5p18hhMhDMmr4VFyckffG3C+6c2d4+eW01aWUYt68eZQrV46vvvqK6Oho4uLi2LDhLWA3sAyw459/4KmnItm0yQkbHzuEECJbDB48mIULF1KhQgW8vb1xc3Nj7969jBkzhi1btrB582YcHBJ+TQ65c4dWgwfjWKAAzzzzDBEREaxcuZJBgwZhZ2eHj0/8V1ytNb1792b9+vV4enoybNgwoqOjWbx4McdtTNc3YsQI1qxZw99//42Pjw+VK1dOtu2jR49m06ZNdO/enU6dOuHr68t3333H2bNn2bp1a4KyixcvZuDAgfj4+FgCFA9Tt25dTp48yfr16+nfv79le3h4OFu3bqVQoUK0aNEiRXWZjRw5ku3bt9O3b1969uzJpk2bmD59Ojt27GDnzp04m7PhA35+fnTq1ImgoCA6d+6Mt7c3gYGBrFmzhtatW7N69Wq6detmKb99+3YmTZpE+/bt6d27N4ULF+bMmTOsXLmStWvXsmvXLksCfi8vL0JCQpgxYwYNGjTg6aefttTTsGFDiInho9mzmbh4MVWqVKFv3764urpy7do19u/fz4oVK3j22WdT9dgzhdY6TTcgLg232LSeLy/dgIOenp46s0VFRenHH39cY+Qv1s6g9xuf3ZKUvX9f65YtjV3m29SpqTvf3LkJj//004cfEx0drZ2dnS1tvH79eupOKhKyvgA5XMOGDS3XfevWrak+3tPT03L8wYMHM6GFOVg2XWdfX1/t6+ubpefMt3LRezmj5LvXVwqv8XvvvWf5WzdmzJg0n27BgvjTOTpqffp0mqtK4NSpU7pjx46WNhq31xM8PDe3P/Ubb7yply1bpk+fPq2jo6Mz5uQplK2vrXz4Xs53svEanzhxQp84cSLLz5sTmf/+PMyiRYs0oHv16qXDw8MT7Bs7dqwG9PTp023WPbhnTx2zd69l+/Hjx7W9vb2uXbt2gvLff/+9BnSbNm10ZGSkZXtwcLCuWbOmBnS7du1snjvx36qwsDAdFhamfXx8NKA9PDz0xYsXLfujo6N1mzZtNKD/+ecfm4/Vx8fnoc+Lmb+/vy5btqy2t7fX3bt31++9955+/fXXtYeHhy5btqz+448/UlyXuc0lSpTQAQEBlu2xsbHa29tbA3r8+PEJHku1atW0k5OT3rZtW4K6rly5osuVK6fd3d11RESEZfuNGzd0WFhYknMfPnxYFypUSHfp0iXB9gsXLiT/nOzfr4u7uurypUvre/fuJdl969athz7mlL4nGzdurIGDOg2xhPT0wGmfjmNFFpgwYQJbtmyxrC8BbA1U0RpeeQV27zbWlTISF/frl7rzvfoqHDtmTEMKMHas0TW7V6/kj3FwcKBRo0bs2bMHMHplWEdVRd4UERGRYOhTahIYm9WvX58zpqlOjh07lqY6hBAip8uIHjhBQUbuG7PRoyGdqXQsatSowaZNm9i8eTOrVq1i/fr1XL48BygBfAZASEhHZs8+xezZLwDG//4qVapQsWJFihYtSpEiRShdujQtW7akbdu2lLBOsCeESDOVA2Y0SiltNaQoM82YMQMHBwcWLlyYpPf2mDFj+Pbbb1m2bBnDhw9PsM/F2ZmpI0YkmL23Tp06tGrViu3bt3Pnzh2KFCkCYEn2PmHChATDXt3c3BgzZkyCni2p9cknn1CxYkXLuoODAwMHDmTHjh3s27ePxx57zLKvV69eNG/eHFdX1xTXX6tWLfbv38/zzz/P77//zu+//w5AgQIFGDFiBM2bN091m4cPH06lSpUs63Z2dkyePJk1a9awcOFCxowZA8D69es5d+4c77zzDu3atUtQR7ly5Rg9ejQjRoxgy5Ytlu+LpUuXtnnOBg0a0KFDB/7880+io6MpUKBAittbwMHB5izNJUuWTHEdmSnNARyt9d8Z2RCRsU6cOMHEiRMt6+PGjaPvuHE2y06alHCmqa+/Tn3wxmzaNPD3B3Pc6OWXoVUrSOa9BRjDqMwBnAMHDkgAJx/4999/iYmJAYycDqn5x2JWr149Vq1aBUgiYyFE3mXd3T6tAZwxY+ITCleqBB98kBEti6eUolOnTnTq1AmtNceOHWP9+j/49tsVXLnSx1RqGHAWmEFMTAxnzpyxBOETa9q0KTNnzkzTFwUhhEhOeHg4R44coWTJksnmA3VyckqSOwXA08ODojYyvnt4eAAQEhJiCeAcOnQIOzs7WrZsmaR869at0/EIbOeNNLfBnDLDzNXVNdWfsQ8dOsTTTz9N6dKl2bFjBw0bNiQkJIQffviBjz/+mDVr1rB///5U1Zs4GANQtWpVPDw8CAgIICQkBDc3N8v3wYsXLzLOxvdW8/8Mf3//BN8X169fz9y5czlw4ACBgYGW7xhmgYGBlC1bNkVtfaFLF2b+/DN169alT58+tGvXjhYtWqTpu0pmSU8PHAulVAmMLmtBGVGfSJ+4uDheffVVyww/LVq0MCKbNt4IGzbAhx/Gr7/8MowcmfZzOzgYM1o0agT//Wf86jd8OPz0U/LHSB6c/Cc9+W/MrGeikkTGQoi8KDw8nAsXLgDGL5Y1atRIdR3nzsH8+fHr06eDi0sGNdAGpRT169enfv36jB4NzzwTxerV5l+gp1KsWBjBwbaTfpodOHCAJ554go0bN6b7y44QQpgFBwejtebWrVuWpMEp5WYKziRmzpUTGxtr2RYaGkrx4sWT5NEBKFOmTKrOm6Qdbm4pakNaxMTE0LdvX27dusU///yDu7s7AIULF+b999/nxo0bTJ8+nWnTptkMsCQnucfs7u7OxYsXCQ0Nxc3NjdumXxpWrFjxwPruWmXH/+abbxg+fDjFihWjY8eOVKxYERcXF5RSrFmzhiNHjthMTJ2caSNHUq18eRb+9ReTJk1i0qRJODg40K1bN6ZMmUL16tVTXFdmSVcARynVE5iCkdDYPDPVO1rrtRnQNpFGCxYsYOfOnYDxhp4/fz52NrIQBwYayYbNvLyM2Skelnj4YYoXNz4sdulirC9fbvTo6d7ddnkJ4OQ/6ZmBykxmohJC5HWnTp0y586jWrVqCRI9ptS4cWD+MbJdO+jZMwMb+BB2dvDjj448/rh5mLYdEREL2b59Fq6uZ7h27Rp3797lzp07nDp1im3btnHgwAFiYmK4d+8eXbp0kSCOEOmQVcOScgtzL4pGjRrh5+eXaecpWrQoQUFBxMTEJAni3LhxI9POm14nT57k7NmzNG7c2BK8sda+fXumT5+e4IfYlLhx4wY1a9ZMsv369etA/HUx3//2229JZsGyJSYmhrFjx+Lu7o6fn1+SXjbmHj2pYW9vz/Dnn2f4lCncvHmTnTt3snz5clasWMHx48c5fvy4zcmAslJ6phFvjjF9eFVAmW7VgV9N+0Q2uHbtGqNHj7asjx49OkFPBTOtYcgQMP8NcXeHFSsgHbOTJtC5M7z0Uvz6669DcrPb1axZk0KFClnaf/Xq1YxphMixMqIHTvXq1S1/QC9fvpyk26gQQuR21vlv6tatm+rjjx6FZcvi17/4Iv0/0qSWszOsWQNVqxrr9+/D888XpEyZR+jcuTO9e/dmwIABTJw4kT179nD06FHLFwdzEGfv3r1Z22ghRJ5UuHBh6taty/HjxwkKyryBI40aNSIuLo7d5gSjVsw/sidmzrmS3l406WHuqRIYGGhzv3n6cMdUfmH8+++kmVfOnz/PpUuXqFy5sqVXkXnY7I4dO1JUb2BgICEhIbRs2TJJ8Obu3bs2g3SpeZ5Lly6Nt7c3v/zyCx06dODcuXM54kfjNAdwgFGm48cDZQB3YAJgb9onssHnn39OqClSUr16dT7++GOb5RYvNqb/Nlu4EDI6L9PUqVCqlLF85UryY+7t7e0TJKCVXjh52/379xPkdEhr8mEHBwdq165tWbc1LaMQQuRm6U1gPGZM/LThTz0FNtIxZIlSpeCPP8Dc8//KFejTB6KikpatVasWvr6+li739+7dY8CAAUlyGgghRFqMGjWKqKgoBg0aREhISJL9wcHB6e6d85LpV+yPP/6YKKs/dKGhoXz22Wc2jzEnb//vv//SdW5roaGhnDx5kmvXrqWofL169XBzc+O///5jwYIFCfaFhITw9ddfA/D444+nqh0zZszg4sWLlvW4uDjeffdd4uLiGGg1HKRnz55Uq1aNWbNm8ccff9isa8+ePYSHhwNGgMXFxYWDBw8mGFYVHR3N8OHDbQaiihUrhlLK5vMcGRXFln37LD1freszB/xcMnMMcgqlZwhVC2CH1nqc1bZPlFLtgGz6iJC/hYaGsnjxYsv6N998kyS7OsAFKvPWW/Hrr78OXbtmfHtKlDBmpHr2WWN93jx47TV45JGkZZs2bWqJth44cCBF3eZE7mSdwLhGjRoULVo0zXXVq1ePw4cPA0YiY+lmL4TIS9KTwHjvXvjtt/j1CRMyqlVpU7OmkQ+vWzcjqLRjB4waFT9zpbVatWqxbds2mjVrRlhYGKdOneL7779n0KBBWd9wIUSuMmDAgGT3zZ49m0GDBnHw4EFmz55NtWrV6Ny5MxUrViQoKIgLFy6wfft2Bg4cyNy5c9Pchpdeeonly5ezceNG6tWrR48ePYiOjubXX3+ladOmnDp1Kkl6i/bt22NnZ8cHH3zAsWPHKFasGECS2bBSY/Xq1QwcOBAfH58E3xGT4+TkxPTp0xk4cCCvvPIKy5cvp1GjRgQHB7N27Vpu3bpF8+bNGTx4cKra0apVKxo2bMizzz6Lq6srmzZt4siRIzRp0iTByJECBQqwatUqOnfuzJNPPknLli1p2LAhLi4uXLp0if3793P+/HmuXbuGi4sLdnZ2vPXWW0yaNIn69evTs2dPoqKi8PX1JSgoiPbt2+Pr65ugLYULF6ZZs2bs2LGDF154gRo1amBvb0+PHj2oGBnJE0OHUrlcOZq1aUOlSpWIiIhg8+bN+Pv706NHjwQ/HmebtMw9bopKRQJf2tj+FRCZ1nrzww046OnpaWNG+PSZNm2aBjSg69atq+Pi4hIWAB0Hugt/aOPjk9Y1amhtY5r7DBMXp3XnztpyvvbtjW2J/fDDD5a2d+3aNfMalNeZn2gjqXiONGvWLMu17tevX7rqmjRpkqWuN954I4NamAtk03X29fXVvr6+WXrOfCsXvJczWr57faXgGnt6elr+xvn5+aWq+o4d46t/7rn0NjbjTJyY8KEvWpR82c8++8zy+CtUqKDv37+fpnNm62srH76X851svMYnTpzQJ06cyPLz5kTmvxUPugUHB1vK//777/rJJ5/UpUqV0gUKFNBlypTRjz76qP7oo4+0v79/krrbNW6s9f79xs2Kj4+PBvSFCxcSbL9//74eM2aMrly5snZ0dNSVKlXSH374ob58+bIGdM+ePZM8hqVLl+oGDRpoZ2dnS5vDwsJ0WFhYsufR2vgbB+ixY8cm2L5o0SINaB8fn1Q8k1r//fffulevXtrd3V07ODjoQoUK6caNG+uJEyem6u+wuc3nzp3TX3/9ta5Zs6Z2cnLS5cqV08OHD9ehoaE2j7tx44Z+7733dN26dXXBggV1oUKFdPXq1XXv3r310qVLdXR0tKVsdHS0njJliq5du7Z2dnbWZcqU0f3799cBAQHJPmdnzpzRTz31lC5evLhWSmlAL1q0SEft2aO/fPNN3aVFC+3h4aGdnJx0yZIldbNmzfScOXN0ZGTkQx9zSt+TjRs31sBBnYZYgtI6YRehlFJKxQHjtNbjE20fC3yitU46eboAQCl10NPTs/Hp06czrM7Y2Fhq1KjB+fPnAZg3bx5DhgxJfGJW0ps+rDSvsmcPNGuWYc2w6cQJo9eNeajh6tXw9NMJy5w6dYpatWoBUKpUKW7cuIHK6oH6eYH1c5bG93ZmGzRoEIsWGTOQTJkyhVGj0j7i8o8//uDJJ58EoG3btjbH2OZJ2XSdt23bBoCXJEXMfLngvZzR8t3r6yHXOCoqChcXF8s4/Xv37qW46/Y//4B5Bm47O/D3hzRMYJUptDZ65ponGXFxgQMHwNaPmnfv3qVatWrcvHkTSPv/jGx9beXD93K+k43X2DzddY7oFZDXWad4SOMEHACbN2+mU6dOvP/++0ycOPGh5e/cuQNgmaJcZKIMuMYpfU82adIEP+OXmVQnA01PDhyRg2zYsMESvClWrBgvvPBCkjJhFGE4Myzrr7+e+cEbgDp1jHOZvfMOJJ7NzdPT0/KH6datW1y+fDnzGyayRUYkMDazTtB99OhR0hqQFkKInObChQuW4I2Hh0eqxt1//nn8cr9+OSd4A8Z33UWL4gM24eFGQOf+/aRlCxcuzJgxYyzrX3zxBWFhYVnUUiGESDtbk7Lcvn2b999/H4BevXpldZNEHpHeAM4ApdRW6xvgA5B4u+m2Jf1NFrbMnDnTsvzyyy9bZnWyNobPuEp5AMqUSfgBL7ONGwemoZycOwfffJNwv52dXYIv85LIOG+yTmCslKJRo0bpqs/Dw8OSQyc4ODjFSdqEECKnO3PmjGXZ09MzxccdOQK//x6/ntwEAtmpUCH4+WdjhiowZst6+23bZYcMGUKVKlUA48vPlClTsqiVQgiRdqNGjaJ27doMHjyY999/n/79+1OjRg38/Px49dVXeeyxx7K7iSKXSm8ApzLglehWGWNK8cTbzTeRwfz9/fnzzz8BIxDyxhtvJCnj5wffMsyyPm1a/GwQWaFECSOIY/b553D7dsIyTa26qkkAJ286cuSI5Rfl9CYwBiMIlLgXjhBC5AVnz561LKcmgPPFF/HLvXsbvWBzovr1Yfr0+PU5c2DVqqTlHB0dE8zaMmvWLMtUt0IIkVN5e3vj7u7O77//ztSpU1m7di01atRg/vz5zJkzJ7ubJ3Kx9ARw2qfh1iE9jU0PpdSTSqk/lVKXlVL3lVLnlVIrlFItkinfUin1h1IqSCkVrpT6Vyk1QimV43L7zJ8/37Lcs2dPKleunGC/1jBsGMRhNP0JNvPcc1nZQsPrr8d34w4NhcTDPiWAk/dZX9em6Rg/bM06gHPs2LEMqVMIIbKbdQ+c6tWrp+iYU6fic8sAfPRRRrcqYw0ZAs88E7/+6qtgSneTwHPPPUelSpUAoxfOr7/+mkUtFEKItOnbty++vr7cvHmTqKgowsLC2LNnD6+88ork+RTpkuYAjtb677TcMrLxKaWU+hJYBzQGNgIzAD+gJ7BLKdU/UfmewHagLbAamAU4AtOA5VnX8ofTWrN69WrL+quvvpqkzLJlRrJigAJEMYuhZMffjQIFEv4yOHMmXLwYv544gCP5TPKejMx/Y1a/fn3LsgRwhBB5RVqGUE2aFJ9DtVs3SOco1QS01lwOu8zmc5tZe2otvhd8OXD1ADfv2Yi4pJBS8N13UKGCsR4YCK+9ljQPrL29Pa+88oplfd68eWk+pxBCCJGbOWR3AzKbUsodeAe4ATyitb5pta89sBUYD/xg2lYU+A6IBby01gdM28eYyj6jlHpOa50jAjn//vsvF01REFdXVzp0SNjJ6c4dGD06fn0k06jBGbKLtzc89hjs2wdRUTB2LCxebOyrWrUqbm5uhISEEBQUREBAgGXcu8gbMrsHjgyhEkLkFakN4Fy+DD/8EL+eEb1vboff5ufjP/Pz8Z85dO0Qd6Lu2CxXp1QdHq/yOF2rd6Vz9c7YqZT/PujmBv/7H3TubKyvXg3Ll8PzzycsN2jQIMaNG0dMTAzbt2/nxIkT1Mmp48OEEEKITJJps1AppcorpborpXoqpUpl1nlSoBLG4/zHOngDoLX2Be4A1u17xrS+3By8MZWNAD42rVrNqZS91q5da1nu2rUrBQoUSLD/iy/AnNfVnWt8zISsbF4SSsFXX8Wvf/+9kbzQ2KdkGFUeFh4ezokTJ4CMSWBsZh3AOXHihCXHjhBC5FaRkZH8999/gPH3smrVqg89Zto0iIkxltu2hZYt035+v2t+eP/sTdkpZRn6x1C2X9yebPAG4MStE8zcN5NuP3aj7uy6LDq0iKjYqBSfr1MnY/iU2dCh8Z9dzMqWLUvPnj0t69bDx4UQQojsllWjR9IVwFFKPaKUWqiU+l0p9YlSqpBp+2fAeWANsAq4pJQame7Wps0ZIAp4TClV0nqHUqotUAT4y2qzuQvLRht1bQfCgZZKKadMaGuq/fbbb5Zl6w82AGfPwtSp8etf8h5FuJtVTUtWu3ZG124wukl/+GH8Pgng5F2HDx8mLi4OgFq1alG4cOEMqbdkyZK4u7sDxixXFy5cyJB6hRAiu5w/f97y97JixYo4m6drSkZwMFjHM6x73qbGuaBzPP/r8zSZ34TVJ1cTHRedYL+bsxutPFrxpOeTtK3UlgZlGuBo75igzMnAkwxaO4jq31Rn7am1pNTkyWBKc0NwsJG7L7HXXnvNsrxkyRLCw8NT/uCEyIPMuVTMfy+EENnHHMDJ7BxHaR5CpZSqBewECmHMOtUNaKyUWg58BNwDjgLFgCrA10qpI1rrreludSporYOUUu8BU4ETSqk1wG2gGtAD2AxYJ46pabo/baOuGKXUBaAuUBXwf9C5lVIHk9lVKy4ujm3btqXikSR169YtS04Re3t7ChcunKDODz+sR1SUEbOqUyeU/ifi+1an99zp5e1diA0bmqK1Yt06mDHjEA0ahCb4kLp582a6du2aja3MfbyslrP7Gie2ymp6kQoVKmRo+8qXL8/169cB+Omnn2jTpk2G1Z0TeVktZ+V1vnPnTpafM7/yslrOL893fnt9eVktJ37Mu3fvtiyXLFnyoc/JsmUVuXvX6KVTufI9ChbcT2qexpi4GJb9t4wf/vuBGB2TYF/tIrXpWKYjrUu2pqRjySQfTCNiIzgaepR9QfvYcH0D92LvAXAp7BI9l/ekY5mOvFntTYoUKPLQdrz1lhtvv90QMGakmjTpX5o3D7Lst7Ozo1y5cly9epWQkBDGjx9Ply5dHlpvdr62vKyW88trO7/xslrO6mvs7OyMi4sLt27dwsXFJUvPnd9Y/wUz/03JCuae5Vl5zvwqvdc4PDyc6OhowsPDH/q3ID3XMz09cN4HCmMk+O0BfAt0xwje+AIVtNZNtdbVAG/TMTZ+T8l8WuvppjY4AK9gtL0PcAlYnGholavpPjSZ6szb3TK8oalk/QGvYcOGCXo07NlTnD17jOCNUpo33zyLHTknKXC1avfo2PGGZX3+/KpoDTVr1rRsO336tPyikIecOnXKslzDPB1ZBrHOlSQ9cIQQud3ly5cty+XLl39g2agoO379tYJl/bnn/sMuFZ/uAu4FMPTQUBZfXJwgeNOmZBsWNl3I7Maz6VW+F6WcStn8VdHZ3plHiz/K0OpDWd58OUOqDMGtgJtl/+Ybmxl4YCDHQh+eZL5x4xC6dIkfO/XNN55ERMQ/GDs7O7p3725ZX7duXcofqBB5UExMDNHR0QQFBREeHk5cXJxMAiJEFtJaExcXR3h4OEFBQURHRxMTE/PwA9NBpfVNbuqJcllr3cZq2w6gJdDMOn+Mad86oJHW+sGfRDKBUmo08AXwDUag6TpQC5gIdAIma61Hm8qeBjwBT631WRt17QZaAC201nvT2J6Dnp6ejU+fTtLJJ1W6dOnCpk2bAJg5cybDTP2NIyKgXj04d84o9/LLxiwPCaaeygF/3C9eNKYVjzINk1+1Cp5+WlO2bFlu3DCCO//++2+CWYbEQ+Swa2ytTp06+PsbndZ27NhB69atM6zuhQsXMnjwYAD69OnDL7/8kmF150jZdJ3NvyZ4eXll2TnzrRz8Xs4s+e719YBr/PrrrzN37lwApkyZwqhRo5Kt5rvvjOm4wZjN6dw5cHRMtrjVKTXzD85n+MbhRMZGWrY3r9CcqZ2m0sKjRcofSyJB94N4a8NbLDu6zLLN2cGZH3r9QO86vR947K1bUKsWBJk63nz0EUyYYL3/FuXKlbN8QD59+vRDkzxn62srH76X851svMZxcXFcunRJhhNmhXv34pcLFcqy05p74Njb22fZOfOtDLjGLi4ueHh4YPeQX1KaNGmCn5+fn9Y61dPypqcHTllgX6Jt5vXjNsqfIGGy4CyhlPICvgTWaq1Haa3Pa63DtdZ+QC/gCvC2UsqcIdDcw8Y1SWWGoonKZYuwsDC2bo0fjdajRw/L8tSp8cEbN7eEU3cnR2vN3ai7XL97nf9C/+NK2BWu3blGSERIpkXyK1VKOMb9gw8gNlbRqlUry7adO3dmyrlF1goLC+PkyZOA8Q+ocePGGVq/TCUuhMhLUjoDVVwcfP11/PrIkSkL3kTERPDy2pd5bf1rluCNo70jkztOZufAnekK3gAUL1icH7x/YPWzqynpUtJyzj4r+jB97/QHHluqFHz5Zfz6V1+BVQdOSpUqxZNPPmlZX7p0abraKkRuZmdnh4eHB6VKlcLZ2TnTc2/ka/7+8bcsFB4eLgG6rJLGa6yUwtnZmVKlSqUoeJNe6ZlG3JGkQYwwAK31fRvl7wHZETp8ynTvm3iH1jpcKbUPI5DTCCPx8imgKVADSJDDRinlgJHPJ8ZUNs1igVitsU/jH9pNmzYRHW0kF2zYsCEVK1YE4NIl+Pzz+HKffWZ8GIqOjeZkafAvBWeLw5nfBnIp9BLX7l6LD9QkM8SqgF0BShUqRfki5albui71S9enkXsjWni0wNnhwYkVH+bDD2HBAggLMz6gLVoErVu3tuRL2bVrF6+/nmMm/RJpdPDgQUsgsF69ehk+Ttt6KtnTp08TGRmJk1OOyDMuhBCpltIAzvr1YO7M6+oKr7zy8LqvhF2h18+92H91v2VbgzINWOa9jLql66a5zbY8Xetp6peuT9dlXTkTdAaNZuSmkYRGhDLWa2yyxw0aBAsXwp49EB0Nb70FGzfGd3R46aWXLJM4LF26lHHjxmX6B2Yhcio7OztKlixJyZIlH15YpJ3VZ83s6P382GOPZdk5861susaplZ4ATm5h/haXXO8f83bzfJdbgReALsBPicq2BVyA7VrrSNLhPFDg779xc3CgZIEClChQgBIODpR3cqKyszOVnZ2pZLp3d3TELlGgx3rct/XsU++8A+HhGoqfpULLXRz22E2T+Qc5dvMYUW9YVXB4cYrbGh0XzdU7V7l652qCD3wFHQrSvkp7ulXvxrP1nrX8ypYaJUrA++/Hz0Q1diwsXx6fgFZ64OQN+/bFd9bLjH9AhQoVomrVqpw/f57Y2FhOnjxJgwYNMvw8QgiR2SIiIrh06RJgfDF70BTi1jNNDhkCRR6SJ/jYzWN0XdaVy2HxOXZefORF5j01j4IFCqar3cmpVrwauwfvpufynuy+ZOTuG/f3OIoVLMZbzd6yeYydHcydC40aGb2M/vwTNmyIn8HyySefpFixYgQHBxMQEMDOnTtp27ZtprRfCCGEyGjpyZOT3p8rcm5oKt4O0/0QpVSC/DtKqa5AKyACMGcEXgkEAs8ppZpalXUGzKOw52REwzQQHBPDmfv32RsWxvqgIOZfu8aHFy7Qz9+fVocOUX7PHgpu306dffvoc/w44y5c4JebN/nz1CkwjYXs2rUrV8KuMPqnxfwS0x/eLgdv1eBy04H87/B3+F3zIyo26sGNAVwKuFC6UGkqFK1AuSLlcC/sTmHH5Kd6vh9znz/O/MGwDcMoP7U8z//6PL4XfFM95Gr4cChb1li+dg22b29EwYLGB8mLFy8mSOYocqfMDuCADKMSQuQN586ds/wfrVSpEo7JjIny88My05SDg9FL5UF8L/jSemFrS/DGwc6Bb7p8w5Knl2Ra8MaspEtJ/nrxLzpV62TZNnzjcL4/8n2yxzzySHxuH4C33zZ64wA4OTnx3HPPWfZ9/33y9QghhBA5SWBgIOnJhZveHjjjlFLjEm9USsWms96MtBL4C3gC8FdKrcZIYlwbY3iVAt7XWt8G0FqHKaVeMR23zTQtehDGTFs1Tdt/Tm+j7ICUzq8UpTX+4eH4h4ez0rxx0iSIiYag/+hy5U9CDu+FsGPwyH/J1lMpBOrdhBq3ofpns6jiVoWyRcpStnBZSrqUxN7O9gi3+9H3uXnvJueDz3P05lGO3jjK9v+2c/p2/AsvKjaK5ceWs/zYcppXaM4XHb6gfZX2KXp8Li7w6afxH9QmT7anceOO7Nq1FjCGUT377LMpqkvkTPv3x/fcyqwATr169Sxd6o8ePZop5xBCiMx29mz8/AkPGj5l3fumb18jgXFyfjn+C/1X9Sc6zoiAFHEswq99f6VjtY7pbm9KFSxQkFV9V9FxaUf2XN4DwKDfBlGiYAmerPGkzWM+/RR+/NEYZn3yJMyfD0OHGvteeukl5swxfk/75ZdfmDlzpuXHHyGEECInun37Nk888QQRERFpriO9AZzUJnDJ8h47Wus4pVQ3YCjwHEa+GxeMoMwfwDda6z8THbNGKdUOY0r03oAzcBYYZSqf7sdRDTjRti3BMTHcjo7mdkwMt6KiuBQZSUBEBBcjIggw3W4n18XKoQCUrkYI1aC4adhRVBCEHKHgHX9aFILHyzekeYXmNHRvSHGXEvHHbnzDdp02FCxQkEpulajkVilBUOZ88Hk2nNnA0n+X8s+Vfyzb917eS4fvO9Cxakemdp5KvdL1HnqOgQNhyhQjD05YGMTEjAYkgJMXXLt2zTIcoGDBggny1WQk6YEjhMgLrPPfVK9e3WaZy5fhZ6ufkkaOTL6+JYeXMGjtIOK08bNR2cJl+eOFP2jo3jAjmpsqhRwLsb7fetotbsfRm0eJ1bH0W9WP/a/sp0aJGknKly5tzEL13nvG+tix0K8fFCsGzZo1w9PTkzNnznDnzh1+++23BL1yhBBCiJwkODiYjh07cuTIkXTVk+YhVFpruzTcsmX+M611tNZ6uta6uda6qNbaQWtdWmv9VOLgjdUxu7TW3bTWxbTWBbXW9bXW07TWGda7yMHOjlKOjtQqVIhWrq48XaoUb1aowIflijGyaCgD4/6h5+1F1D09GvzegJNfwqXlcHsvRFy3XaljcSjdnvvV3mCr+xusdenMPrtq3IhzyvDoWdViVRn62FD2vryXw68e5rUmr+FoH9/Ve/P5zTSe15hPt3360CFcDg4wcWL8+sGDLQAjMbPkwcndrHvfNGnSBAeHzEm9Va9efKBQAjhCiNwqJQmMZ84E8287bdtC06Y2izFn/xwG/DbAErypVbIWe1/emy3BG7NiBYvx54t/UtHV+B8fFhlGr597cSfyjs3yb70FlSsby7dvx0/UoJTipZdespRbsmRJZjZbCCGESLPIyEg6derEoUOH0l2XpOzPJvdi7rH48GKm7pnKO3++w3Mrn6PVwlaUmlyKkpNL0npRa4ZtGMbCwws5fm0/3PGHGxvh/Dw49gHseR5+eZInbv5B1cOxsNsNwpJ+Mf7nzh0+uHCBOvv3U/P773n/lVc4bv4klIEauDdgzlNzOPPmGQY1HISdMl5a0XHRjPt7HE3mN+HQtQe/YJ9+Gpo3N5ZjYuyAzwA4cuQId+7Y/mAncr6syH8DUKNGDQoUKAAYuZPCwsIy7VxCCJFZHhbAuXsX5s2LX3/7bdv1zNg7gzf+iO9t26BMA7YP2G4JnGQn98LurOq7Cid7Y56JE7dOMPC3gTZz6Dk7J5xW/NtvjR5IAP3797ds37RpExcuXMjUdgshhBBpsXTpUg4cOGBZr1SpUprrkgBONrkacZWBvw3k7T/fZsqeKfx8/Gd2X9pNYHigzfL2yp7Hyj/GkDpDYBnwJRT5wZ6hjhM5P/Jx+KghPN2K2dFNmVKtGl5ubknmbD/j4cGX/fpRb9Eimhw4wDeXL3Mr6uHJjVOjomtF/tfzf/z72r80r9Dcsv3YzWO0+F8L5h+cn2ySY6WM1D7x+gN1iYuLY+/evRnaTpF1siL/DUCBAgWoVauWZf348eOZdi4hhMgsDwvgLFoEoaHGcvXq8NRTSeuYd2AeIzaNsKw3K98MXx9fShVKbkLOrNekXBPmd59vWf/V/1em7Jlis2yfPmD+9xEZCZ8Zv+9QuXJlOnfuDIDWmnnWkS0hhBAih1i2bJlleezYsZQoUeIBpR8sTQGcxLM5pbGOsumtI68q6FCQBmUa8EL9F5jSaQq+Pr4EvRfEPy//w2Nhj8EZIBKaN+/C0P+zd97hUVRdHH5nN72ThACh9w6h915EmiAWkKqogCAgiAqiHypSFCmC0pWmgNJR6VVAWiCEEkqoIYQAIb3v7v3+mM3sbhrpocybZ5+duXNn5m7u7Oydc8/5nZEmM83AARIjOjkxrnRpDvj48KBFC1ZVq0YfT08cNZZdfSYmhjGBgXj/9x+vnD/P5ocPSTZkVVb5ydT0qsmRt48w96W5OFg7AJCoT2TYX8MYvGUwsUmx6e7Xpo0pTah8ecq+0kePHs2ztqkUHEIICw+cRo0a5ev5zMOoVCFjFRWVZ424uDgl86JWq6V8+fIW2/V6mDvXtP7RR3LKbXNWnVvFiL9HKOstSrdgz8A9FLEvkl/NzjGD6g5iVKNRyvqkfZM4E3ImTT1JMoVOASxfDilazx988IFZ+XISExPzrb0qKioqKirZJSgoiEOHDgGg0WgYNmxYro6XUw+cQEmS5mTXkCPJvCJJ0lngvRye+7nAUevIgDoD+LDxh0xrP41VvVaxf9B+bo+9TcykGPyG+7Hm1TWMazaOtuXa4mLrAsDBlJyhQETEZO7dk5e9vGDOHMtzuFtbM7B4cTbUqsWjFi3YPnEibxw4gK2Z141OCLaFhfHqxYuUO36cKTdvEpxHgx+tRsuYpmM4O+wsdYrVUcpX+6+m1a+tCI4KTnc/80EavAI0VXVwnlECAwOJiIgAwMPDI83DSF6jChmrqKg8y9y4cUNZLleunBIWmsLWrZBSpUgRGDzYcv8/L/4phyIZVe8aeTfin/7/4GzrnK/tzg2zX5pN45Kye02yIZm3Nr6V7iRPhw7QzphHQa+XBY0BunXrRpkycljYo0eP2LBhQ5p9VVRUVFRUCou1a9cqESjt27enRInc+bHk1IDzPfA+cEuSpB2SJL0tSVK6SnuSJDlJktRekqSZQBCwCUgwvr+weNt7s7r3an58+UcmtprIwLoDaVe+HWVcyyj6MakRQpgZcDpy6pTJKPLzz5CZJ5adVkv348dZ//XXhPTpw6IqVWju4mJR515SEl/dvk3Z//6jz4UL7H38GEPuE25RxaMK/w39j7d93lbKzt4/S5NlTTh3P60Kt48P9OtnXjKNY8f+IymPw71U8p/U+jeSlN3EddlDFTIuHGJjYwkODsaQh158KiovIk/KQPWDWYTRiBHg6Gha335lO29teksRLK5brC47B+xUJoCeVqy11vz26m84Wssf5krYFcbvTivsk9oLZ+1a8PeXPZXef/99pfznn3/O9zarqKioqKhkFfPwKXPttpySIwOOEOJLoCrwK9AKWAZcliQpQpKky5Ik/SdJ0llJku4A4cAeYAIQCvQXQjQTQqhPV9nk+vXrRtdqTyRplVLep4/8yipFYmIY5u3N0fr1udq4MZ+XKUNxG1P2KD2w6dEjOvn7U/3kSX4ODiZOn7vkWw7WDvzyyi8s6b4EK40sthwcHUzLX1uyM3Bnmvpffy1nppJpR3x8C1UH5xmkoPRvUkgdQpWR3pJK3vHff/9Rrlw5SpUqhZOTEz4+PowYMYKQkJDCbpqKyjNHZvo3x4/DsWPysrU1jBxp2rbn+h5e+/M1dAY5NVV1z+rsHrgbd3v3fG9zXlDJvRLzX56vrC/2XczWy1vT1GvWDHr0kJeFgC+/lJeHDh2qeCsdO3Ys1ylaVVRUVFRU8oILFy7g7+8PgJ2dHb179871MXOTRvyuEOJ9wBsYCWwG4oEqQBOgLuAF+AGzgeZCiAZCiHW5bfSLisn75leEkF2vihaVMzLklMoODkytUIE7TZvyR40atHVzs9h+NT6ekdeuUfq//5h84wb3cxle9V6D99jRf4cyIxiTFEPPtT358+KfFvUqVYKhQ81LprNzZ7oZ31WeYsyNbvmtfwOyoruTkxMgu9I/ePAg38/5IvPvv//SuXNnHj2Sxdfj4+M5d+4cixYtonXr1txLifFUUVHJEpkZcMzDpPv1A29vefnw7cO8su4VkvSyl2rFIhXZO2gvXo5e+d7evGSIzxBer/G6sj7sr2GExYWlqTd1qml561bw84PixYvTx2wmS/XCUVFRUVF5GjD3vunZsycuLrn3is11FiohRJQQYpEQ4jUhWxVskY06RYQQdkKIRkKICUII1X0il8gGnNGAKeXEypVQvHjuj22t0fC6lxcHfHy42KgRH5YsiYvWJJD8WKfj2zt3KHv8OG9fvsz5mJgcn6tjhY4ce+eYkso02ZBM3419+fXsrxb1vvgCbGxSPH8asH69LsfnVCl44uPjOXPGJEbZtGnTTGrnDRqNhpo1ayrrahhV/nHgwAG6dOlCjPFeoEmlpBoYGEiHDh0IDQ0tjOapqDyTZGTAuXULzKVdxo2T38/dP0ePtT2I18UDcibIfYP24e3sXRDNzVMkSWJx98VK20NjQy0yaaVQp46l13GKQWfECJNw88qVKxUxaBUVFRUVlcLAYDDw+++/K+v9+/fPk+PmeRpxIUSyEOK+ECIyr4/9orNvXzjwnbI+bhy8/HLen6eGoyM/Vq5McLNmzKtUifJ2dsq2JCFYcf8+dU6fpuf585yKisrROWp61eToO0ep5imnfTYIA+9se4cFJ03uRCVLwrBhycr6jRtDuH8//TTrKk8fp06dIjlZ7r9q1arh4eGBEHDmDIweLc8e29vLGg7OztCokexNFh6eu/OaCxmrmajyB39/f7p160ZcXBwgz35fuHCBsLAwVq5ciZUx/vHy5ct07NhR8dBRUVHJnIwMOD/+CCkSU+3bQ926cCP8Bl1+60JUovw7XNypOPsG7aOsW9kCbXNeUsS+CIu7m1KBr/Ffw/Yr29PUmzzZtLxxI1y4AK1atVI8PRMTE/kmJde4ioqKiopKIXDs2DHu3LkDgLu7O126dMmT4+a5AUclfzh9+i737y9EdnCCevUE06bl7zmdrKwYXaoU15o04c8aNWiayuVre1gYjc+cocu5cxyNzL69rpRLKQ4POUy94vWUsg93fMhPJ39S1qdMsUOrjTauVeN//7uByrOBeer3Fi1acPAg1KsHDRrA/PkQEgIJCRAXBzExcPo0fPghlCgB77wDYWk957OEKmScvwghGDlyJPHx8ox/yZIlOXToENWrV8fd3Z1Bgwbx+++/Kx45Fy5cYODAgaoekYrKE4iNjVXCDq2srChXrhwAkZGwbJmp3vjx8CD2AS+teYn7MfcBcLV1ZdeAXVRyTyt8nBqDEFyLi2NnWBiLgoP57Pp13r9yhb4XL9LN35+X/f3pcf48r164wJCAAD69fp3ZQUFsfPiQy7Gx6PJZrLx7le4MqGMSeRz21zDC4y0t+z4+0LOnaX3qVNmDZ5rZwGj58uUEpuQaV1FRUVFRKWB27zbJf7z66qvYmGnO5garJ1dRKWwSEqBvXzvAEwCtNpb16x2xtS2Y82slide8vHjNy4v/IiOZFRTEJrMZ9V3h4ewKD6edmxtfli1LGze3LGcbKupYlP2D99Pt924cC5LVGUftGIVWo2V4w+G4u0ObNqfYv789AGvWVGLePDBzClJ5SjEZcDQ8fDiSDh1MM8iZkZgIv/4Ku3fDmjXQtm32zptayFglbzlw4ABHjhwB5IfMXbt2UaVKFYs6r7/+OsnJyQwYMAAhBDt37mTlypUMGTKkEFqsovJscP36dWW5XLlyiifbsmUQbZzHqF4dWrSLpsPqrgQ+lo0TtlpbtvXbRp1iddIcEyBOr+dwRAT7IiI4FRXFmZgYonORmMBGkqjt6EhbNzfaFSlCK1dXXKzydjg5r8s89lzfQ2hsKCExIXy8+2OWv7Lcos4XX8C2bfLyH3/IacU7dOhAu3btOHDgAHq9nv/9738W+gMqKioqKioFhUm/Fjp16pRnx1U9cJ5yhJDFfK9f9zSW6OnbdwuV003anv80c3VlY61aXGjUiH5eXhYX0IGICNqdO0drPz92P36c5Rl3Nzs3dvbfSbNSzZSyEX+PYKnvUgAmTXJETmAGcXHu/PSTOpP/tGMwGDh27Biyjvletm2rpxhv7O1h4EDYtw9iY2Xvm9BQWLhQ9s5JIThYDhX44ousGX5SMA+hunjxopraOg+Jj49n4cKFyvqYMWMsNIfMeeutt/jwww+V9Y8++kgVNVZRyYT0wqd0Opg3z1Rn1NhE+vzZG98QXwA0koZ1r62jddnWFsd6mJTEouBgOp07R5EjR3j5/HlmBQVxKDIyV8YbkEOpfWNi+OHuXbqfP0/Ro0fpef48a+7fJ0qXN1p17vbuLOxmutf84vcLR+4csajTsCF07SovCyGnGJckiW/Nco2vXbtWyf6hoqKioqJSUMTHx3PixAllvXXr1pnUzh6qAecpRgj4/HMw0z4CxvH223mgWpxLajo68nuNGgQ0bszgYsXQmm07EhnJS/7+ND1zhl1ZNOQ42zqzo/8OGpc0pZoe9tcwNlzaQJs2DbCz+0EpnzpVTw6ld1QKiMuXLxMergH2A+2U8rZtITAQVq2SjTMODrIGjpcXDB8uh1Ft2wYeHnJ9IWTX+Lffhqw+c3h5eVG0aFFADkm4fft2nn62F5m1a9cqejZeXl588cUXmdafNm0aFSpUACAiIoJhw4apoVQqKhmQngFnwwYICpLLPIsaOOA6mH039yn1FnVbRK9qvQBIMhj448EDupw7R4ljxxhx7Rp7w8NJSuc752VtTVs3N94uXpyvypVjUZUq/Fa9Ottq1eKf2rXZWqsWG2rWZGmVKkwtX55RJUvyUpEilEzH/TtJCLaHhTHw8mWKHzvGsCtXuJCLRAcp9K7em1erv6qsD/9rOMn6ZIs6KWnEAdatk8WemzVrRg9jrnEhBJ9//nmu26KioqKiopIdTpw4QVKSnB2yatWqFM+LrENGVAPOU4oQsufB9OnmpYvQan8ukGw+WaWKgwMrqlfnapMmvFeiBNZmoVMno6Pp4u9POz8//suCRo6rnRzD39C7IQACQf9N/TkcdJiXXroN3AIgIsKK2bPz49Oo5BV7954EdgCyd4ZGA1OmwN69ptS3GdGjB/j7ywaeFFatggED5NnorKCGUeU9N2/eZN26dcr69OnTcXV1zXQfR0dHli83hT389ddfFmr8KioqJlIbcISAH5S5C0H5D8aw4fJ6pc437b7hvQbvEZSQwKQbNyj933+8eekSu8LDSW3vrungwEelSrG5Zk2CmjblfvPmHPDx4Zdq1fiyXDmGeXvzVrFi9PD05GUPD3p6etKnaFHe9fbm87JlmV+5Mjvr1uVu8+Y8btGC7bVqMb5UKXycnCzOE28wsCQkhNqnT9PBz4/DERG5+p/M6zIPJxv5HBcfXmTO8TkW25s0Mf1W6PWm/9dUs1zjf/31F76+vrlqh4qKioqKSnYwD59qm109iCegGnCeQlKMN2ZewMBfwIc0aFAfR0fHQmpZxlSwt2dJ1aoENmnCSG9vbM0MOYciI2l+9iw9z5/H/wmzcm52bvzz1j9U9agKQJI+iV7relGrU2XANNX2ww/w8GG+fBSVXBIfD9OmNQXkbCCSJPjtN1mfQKvNfN8UvL1lDZz33jOVrVsHfftCcnLG+6VgHkalChnnDV9++aWSVaxhw4ZZ1rNp27YtI0eOVNbHjRtHZA5Ez1VUnndSG3COHpW9EgG07aZxSjJlaRzVaBQ9641hUEAAFU6cYPqdOzxIdXNs4eLC/EqVCGralAuNGzO7UiV6FS1KKTu7LOvUpUcRa2u6e3oyq1IlzjZsSGCTJkwrX55aqcYm+yMiaOPnR6dz5ziew+98KZdSfNX2K2V9ysEp3Iq4ZVHns89My8uXy2ODOnXqMHjwYKV8wYIF6HMZOqaioqKiopJVDh06pCy3adMmT4+tGnCeMpKS5Ew85sabChUCgD6AjpYtWxZW07JEGTs7FlSpwvWmTRnu7Y2V2SBxe1gYPqdP0//SJW4YM9ikR1HHouwasIuSziUBiE6KZlHMInBfA8gP4zEx5HsWLpXsI4Qc7hQaWk0pmzDhBn37Zv9YWi0sWgQffGAq27gRRoyQz5MZ5h44586dy/7JVSy4cOGChRDonDlzlCxTWWHGjBmUKlUKgAcPHvDVV189YQ8VlReP1AYcxfum/jL0bUx5s1+qM5yg0u9T19eX1aGh6MxuiCVtbJhSrhy3mzblSP36jCpVilL5rPpf0d6eiWXL4t+wIYd9fHitaFGLsOq94eE0O3uW/pcucS8xMdvHH91kNHWL1QUgXhfP6B2jLbZ37ChnOAR5AmH+fHl5+vTpOBk9hG7dusW2FMVjFRUVFRWVfCQhIYH//vtPWX+qDTiSJDlJkjRQkqTZkiQtN74PlCTJ6cl7q4SEQIcO8JMpizbduoGX1whAjqFr1apV4TQum5S0tWVhlSoENGpEfy8vUsw4Avj9wQOqnzzJJ9evE5lBTExZt7LsHLATNzs3AMISwrB+xwqcPlbq/Pwz3LmTv59DJXv8/DOsN3n4o9VO5OuvS+X4eBoNLFgAY8eaypYvhxkzMt+vXj1TavqzZ8/m+PwqMl9++aWiXdOkSZNsG5KdnJyYNWuWsj5//nwuXbqUp21UUXmWiYmJ4f59OSW4lZUVSUll2LoVqLoVug+TK9l5U7zhj+wu8iZbw8Is9m/t6srmmjW51bQp/ytXjjKFkKpRkiRaubnxZ82aBDZpwjvFi1sYcn5/8ICqJ08y684dkrMhLm+lsWJR90VIxpHE9qvb2Xp5q9l5Lb1wFiyQJ3lKlChhoX/z66+/Epbq/6aioqKiopLXnDx5kkTjhEXlypXxfpJ+RDbJMwOOJEmvA7eBFcBY4G3j+wrgtiRJr+XVuZ5H/vlHzsBzxCzJwuuvw5o18fj6HlPKWrRoUQityzmVHBxYU6MGfg0b0jNFmRZZ9PD7oCAqnTjBwuBgdOkM5mp51eKvfn9hZyUPRJOdkmHALrDdKx8jCdSJ/KeH06dh3DjzkkU0aXIY21zmu5ckmD0bBg0ylU2aZGkoSk2tWrXQGuO1rl27RnRKDl6VbHPq1Ck2b96srA8dOjRHx3njjTeUGGCdTsfo0aNVQWMVFSOBgYHKcoUKFViwwApRbj+8/ibYe0Dl8dB4Ffcda2P+rXnV05Pj9etzqF49ehUtilU2POPyk3L29iyvVo1LjRvzulFUHiBGr2fCjRs0PXOG89kQOm5aqinv1TfF1H6440Nikkz79+kDFSvKy+HhsFROYsnYsWMVIfXo6GimTJmS8w+loqKioqKSBcz1b/La+wbyyIAjSVInYC3gDKxCNt68bHxfbSxfK0lSx7w43/PEpUvQpYvsaRMSIpdpNPDdd/IDqr//KUV3olq1akp2nWeNOk5ObK1dm6P16tHUxUUpf5SczAfXrlH39Gl2pjMz1qJMC/58/U+0knEerzjQ73XQylbNFSsgIKAAPoBKpkREwBtvyEY1mTPA2DwzOEqSPCA31wAbPBjMsvNZYGdnR40aNZR1NYwq55jPYLdp00bJjpNdJEnixx9/VAxr+/btY9OmTXnSRhWVZx3z8KmyZeuxbOcJGPAmVBkCjdeAd3eQTP4s3T08ONugARtr1aKJ2W/q00YVBwf+qFmTfXXrUsPBQSk/ExNDA19fpt66le4ETnpM7zidog7yGCgoKoivDppmcLRamDDBVHfOHFkvzc7Ojh9MStAsXLhQ1UVTUVFRUclXzPVv8lrAGPLOA+dLIBFoKoR4WwixUgixy/g+BGgOJGOuQvuCEx1tTffuUKcO7NplKvfwkNcnTJAfWv/9919l29Ouf5MVmru6cqxePdZWr04ZM8+MS3FxvHz+PF3OnUuTfrR7le4s72nKZEO5COjZDRAYDLLgs0rh8v77cPOmvKzVxgCvA4l56jFmYwObNkFVWd+axETZaPT4cfr11TCq3LN//3727NkDgEaj4Z133snV8WrXrs0HZqJG48aNIy4uLlfHVFF5HjA34DzQtCJxzCxouRhK9wWNKXV3Wzc3jtWrx/batfFxdi6MpuaI9kWK4NewITMrVFCSHCQLwRe3btHaz49bmejipeBu784PnU3GmDnH53A+1JRlcPBg8PKSl4OC5N8LgFdeeYX69esDoNfrGTt2rOr9p6KioqKSLyQmJuar/g3knQGnHrBeCHEmvY1CiNPAH0D9PDrfM8/9+3b8/bec9hJkr5v335c9cjqa+SmZG3CeFf2bJyFJEn2LFeNy48ZMK18eJ7PURLvCw6l7+jQjrl7lgcmdg8E+g5nRwUz4pO4+MGam2LjRlKlDpeD54w/480/Tul4/BLiBRqPJ82u2SBH4+29wc5PX79yBIUPSFzVWDTi5IzEx0SJ71ODBgylTpkyuj/vVV1/h6ekJwJ07d5g5c2auj6mi8qyjGHCa1+PcCAeoPRJs3JXtjZ2d2VOnDvvr1qWZq2shtTJ3WGs0fFKmDGcbNqSJmfHpv6gofE6f5s8HD554jAF1BtC2XFsA9ELPiL9HKMYYOztL0fvZs+XfBkmSGDVqlCK8vm/fPlXQWEVFRUUlXzh16hTxxkmJChUqKEk88pK8MuAkAiFPqHPPWE8lFR07wtmzsHixafYIIDk5mSNmojjPiwEnBXutlollyxLYpAnvlSihXIwGYNG9e1Q+cYIfgoJIMrpXf9LiE7oW62o6QNuvoO4qQNZEUSl4HjwAs2d82rW7DmwEZLFbd3f39HfMBRUrwq+/mta3b5cH6qlRDTi54/vvv+fy5csAODs788033+TJcYsUKcL06dOV9ZkzZ3IzxX1LReUF5cKDB/D1l/DtbHAtr5R7aSV+q16d4/Xr09HdPVfpv58Wqjs6crR+faaVL6+IHEfq9bxx6RKjr13LVOBYkiQWdluItcYagKNBR1ntv1rZPmIEpDj3njwJKZOg5cuXp2fPnkq9cePGKQKTKioqKioqecWxYybt2vzwvoG8M+D8CzwpvqcFcDiPzvfMY2NjYNo0uH4d9uyRQ6lS4+vrS2xsLABly5alfPnyaSs9BxSzsWFJ1aqcbdiQjkWKKOVRej0fX79OrVOn+OvRIwD+HPInVretTDv3fBfKHWTPHti/v6Bb/mIjhDzbaewaSpWC4sVNmYZeeumlfDt3r17w0Uem9c8+g+PHLev4+PgoyxcvXiTJzKNLJXMCAwOZOnWqsj516lRKliyZYf2QENi9W85CNm4c9OsHPXvKxun27eX+GjIEPv5Y1q2qV+8d6tdvBsiePuMs1a9VVF4YkqysmNGvH6dHj4ZW7Uwb9Ak0DIYbzVvyVrFiz4XhxhytJDGxbFmO1KtHObOMWfODg+l07hwPM7lfV/Osxvhm45X1CXsmEJEQAciTYP37m+rOmWNaHjJkCEWMY4wbN24wd+7cPPksKioqKioqKZw2Cwtp2rRpvpwjrww4nwK1JUmaIUmSo/kGSZIcJUn6DqgFfJbu3i8gZcvGMnEiGJMjpMuBAweU5Xbt2mVc8TmhjpMTu+vUYXutWlSxt1fKr8XH0+PCBbr4+3NLL+ij7wOhxo3aZHizN3gGMHFi+qE0KvnD+vVy+FoKS5cKDhzYoqx36dIlX88/YwY0aSIv63RylipzORVXV1cl+0hycjIXL17M1/Y8LwghGDlypDI73aBBA4tQKpBDP3fsgFGjoHp18PaGl16SvbHmzIF162TPqH374MAB2LoVVq6EH36At9+Ghg01nD9/BNgODGHLlsPsMhcDU1F5AThYty4+S5cy8f33TW4jAKEHcPhWcOCVtjiahRg/jzR1dcWvYUP6GMMqAQ5FRtLQ15czmWQPnNx6MqVcZLf0B7EP+N+B/ynbxo411du0CW7dkpddXV35+uuvlW3ffvst4eHhefI5VFRUVFRUQA6hSqFhw4b5co68NOD4AxOAIEmS9kqS9JskSXuBIGC8cfunkiT9YvZanskxX3jMU5Dlh4L104gkSXT39OR8o0bMrlgRV7PB6+7wcOqcOkVUvyGw1RlSxnb2EdC/GycvPmDLlkJo9AtIeDiMGWNaf/ddKFHCn/v37wPg7u6ebzetFGxsZCNSSgKWa9dg4kTLOuZhVGfOpCvRpZKKpUuXsnv3bkAWLl68eLGSOSoy0pq1a0tTqRJ07Qo//QTGKKtsk5ysAboDvwL3efXVJPbsiVWNsCrPPaFJSQwMCKDd3LkElCtn2hBzHc6Ohm9q8kmbl3FyKrQmFiiuVlb8WbMm08qXJ8XP6E5iIi3OnuW30NB093G0cWR2Z1Ps7IJTC/AP9Qegdm2TlqDBAPPnm/YbPnw41apVA+S04qoXjoqKiopKXvHo0SNuGWcNbGxsqFWrVr6cJ68MOEOA1oAEuAHtgX7GdzdjeRtjvdQvlXRIrX+TXzF0Tys2Gg0flS7NtSZNGGamj6MHdtjZwaLf4FEvSDZuKXIT+vXksy/i0ekKqdEvEJMny/o3ACVLyp4V5h4UnTp1Uh7685OyZcF8/P3jj7LHRwqqDk722Ldvn4W3zahRo2jQoAEJCTBtGvTt25QlSyoqM9op2NhAixbwzjtyvdWrYfNmOaxqzx7ZU+uXX2DKFOjdOz3PQ2vi4nrQubMjjRrJhrkUgXcVlecFvRD8FBxM1RMnWGNumNDFQeAC8B0Gq8fieOsNPvyw8NpZGEjGkKq/atdWJm4SDAYGBAQwPjAw3VTjr9V4jQ7lOwBgEAZG/jNSETQ2D7FdtgxiY+VjWllZ8eWXpoSo8+bNIyIiIp8+lYqKiorKi4Svr6+y7OPjg42NTSa1c05eGXDK5/CVSQBR3iNJUitJkjZKkhQiSVKi8X23JEld06nbXJKkfyRJeixJUpwkSf6SJI2VJKlA/JlPnTqlpNctV64c5cxn6V4gitrYsMioj9MuJfUQgLMzDBkDNZaDWyO5rNQJrtYcyIqVGQsgquSe06dh4ULT+rx5shfMzp07lbL8Dp8yZ8gQ6N7dtP7225Diea8acLJOQEAAffr0QWe0gPr4+PDtt9+ybRvUrAmffw4JCabbn4eHrHezZw9ERMCRI7B8uewFNWCArHvTqZM8E/7qq3K//O9/ckjD9evy6/vvoVKlRxbt8PWFvn2hVi3ZEKQaZFWeB05FRdHE15dR164RaW6dfLAfTg2Gu5tgyzI4+w7Dh0M+6L8/E3T18OBUgwZUd3BQymbfvUvPCxeISXUzkCSJ+S/Px0oj6+IduXOENf5rAOjSBapWletFRcGOHSWU/d544w2qVKkCQGRkJPPNXXRUVFRUVFRySEGET0EeGXCEELdz+sqL82cFSZImI4sotwZ2Aj8gCzAUAdqmqvuKWd3NwE+ADTAHWFcQ7TUPn3oR9G+eRB0nJ/bVrcummjWpYCZ4iHc5qPsd1PoW7EtBjY189M+nGLO3qeQxer2c5SMlzKVLF/nhPCYmxsJjrHPnzgXWJkmCJUtMDzy3b8Onn8rL5gacc+fOoVfdOtLlwYMHdO/encjISAC8vb35/fe/+OADJ155BW7cMNUtXz6GFSsgKEj2vOrYEcwkq7JMhQqyqPG1a5689NKnwDLA9MW9fFnWNapaFZYuBVWDWuVZJDw5mQ+uXqXJmTP4xsQo5VaJoeA/AQK+gcRHsGUF+A3BykrPi67pXdnBgeP16/OKh4dStuPxY9qdO0doqhtB9aLVGdfU9A+bsGcCkQmRaDSptXBKKl59Wq2WyZMnK9vmzJlDVFRUvnwWFRUVFZUXB3MB46fegPO0I0nS68A3wF6gghDibSHEJCHE+0KIRsDnZnVdgKXI0TpthRBDhRATAB/gP+A1SZL65nebX0T9mychSRK9ixblUuPGTC1TBgsrjUdzaPgLVBhBTL2FDJi3qPAa+hyzZInsgQOy5ub8+bIB5cCBAyQnJwNQp04dvL29C7RdJUrIeiwpLFwIR49CiRIlKFasGACxsbEEBgYWaLueBcLCwujUqRM3jFYaBwcHpk49QNeuJVltys5LkSIwZsxVli71ZfDgnBltMuL33z+lZMkpQGlgKlqt6UH3xg14/32oVAkWLEA1zqo8EwghWHX/PlVPnmThvXukSDvZSOAYvB7diYEQfhorPVhv/AbODQKgZ88HFPDt86nExcqKTbVq8XmZMkrZ6ehomp85w1VztXrgizZfUNJZzpIXGhvKlINTANkAnGLYDwmx5+hRk1Byv379qFixIgDh4eH8ZP4DoqKioqKikgPMDTiNGjXKt/PkqQFHkiSNJEmlJUlqJklS6/ReeXm+rLYJmAnEAW8JIdKkNRBCJJutvgYUBdYJIU6b1UkAUqZsRuRfiyEpKYmjR48q6y+a/s2TsNVo+LxCBfr9/Tf884+sUgigsYbSb0Dj1WwqsoN1Z3cUbkOfM0JDLUWCJ06UH6rBUv8mP9OHZ8abb0KPHqb1d9+FxEQ1jCozwsPD6dSpE/7+svinJGl4/fWTvPtuFQudm4EDZZHoXr3uodXmvcqwu7s7v/76KxAGfIFeXwoPj3m4uZk8poKC4MMPZc+dH36A2Ng8b4aKSp7gHxNDWz8/Bl++zMNk0/CiiT3YnBlGbOAiEMnYJ8Nn6xqTfCFlaBHPV1/Zpn/QFxCNJDG1QgUWVamiDFZvJCTQ/MwZ/jN6CwI42TjxQ+cflPX5J+dzPvQ8Dg4wbJjpeBs2lFKWrays+PxzZe6OH374gXjVOqyioqKikkNCQkIIDg4G5MnQFMH8/MAqrw4kSdIE4GPA8wlVCzonZnNkvZ0NQLgkSd2QU5onACeFEP+lqt/e+L6TtBxGNgQ1lyTJVgiRmNmJJUnyzWBTNYPBYOFlY8758+cV/ZsSJUpw8+ZNbt68mdmpskRbs+WMzv0s0bBCBdaOHw9bt2I1Zgy6GjXkDTZFoOpH9AsJ5uD9tbxpX0LJbPG809ZsOa/7ePr0akRGFgfA2zueZs1OcfCgAb1ez/r165V6xYoVK7Tra8AAW/bubUR8vBWXL8OwYbdwNxOT2Lp1K8WLFy+UtuUlbc2Wc/q/jomJYcKECVxW0kg5U6XKMVaurKnUcXJK5qOPrtK+/UPOn5eztuTmnJlhbW3N6NGjmT9/PkJEEhY2Fje3H2jRYj7nz3cmKkp2+bl/Xw69mj49kbffvkWXLiFotaDT6YiMjFReMTExODg44Orqiru7u8V18CzQ1mz5ebhfZ4X8vL4KghjknGpbAHMltqJAx6gANvw7lmSDHALkZOXEP8tjGB60WKlnbb2chw9rcvDgi/KLlTWqIrtQfw0kAmE6HW3PnuULoKWxjpfwop5bPc5GnEUv9AxYO4C5dedSr54tWm1T9HoN58+7sXixL1WrytdZ6dKlKVasGKGhoYSFhfHNN9/kS/hvW7PlZ/XaVsmctmbLah8/v7Q1Wy7Ifn7WfxufJdqaLWf3/33s2DFluUKFChbSEumR0q85IU8MOJIkTQG+RJ4+XQkEA0+L9GSK/1IocAaobb5RkqTDwGtCiIfGIqPsHVdTH0gIoZMk6SZQE1mAOSA/Gnzu3Dll2cfHJz9O8VxQt25dPDw8CLt6Fd3IkfRftoxt3hWJTgntcCjJYmCvIZkPNNbUL8zGPuP4+bmye7fJ8DFmzDVsbORHlFOnTvHokSxEW6RIEerWrVsobQTw8krkvfdu8uOPlQH47bcyvP9+c+B3AK5cuVJobXuaiI2N5dNPPzUz3lTE3f0YV654KXVq1ozkiy8uUaxYpnbqPKV37964u7vz7bffkpycTEREEEeP9gLscXAYQ2LiaPR6WYw0LMyWWbOqMneuwMrqYxIS/s702LVr1+ajjz6ifPny+f9BVCxITk7mypUraDQaSpUqhYuLS2E3KU8xALuAJUCEWbkW2aXXO3QP8y7PwGA063jYePBd7e+4H7SDS/gYa8dSvvx6JOmbgmv4M0RzZBHCiUAkkAT8DxgD9EQOsR5daTTv+r6LXujxj/Rn74O9dCrWifbtH7Bnj/z79ccfpfjiC3noZmVlRc+ePVm6dCkA27ZtK1D9NpXnhyPALaBw/I9VVFSeBsyfMaqmqOjnE1JKysVcHUSSgpAnRhoIISKfVL8gkSRpOvAZsqbNTWA4cAIoiyxk/BJwSAjR1lj/KlAZqCyESCOYIUnSUeSxRPN0vHey2ibfypUr1796NY2NCIAOHTqwf/9+AFatWsXAgQNzcpr0TmxazoN+fxoYN24cc+bMAWDIkCEsWLKMcv87w6N2oWDtZFG3c5EiTKtQgQbOzoXR1IIhH/o4ORl8fODSJXn9tdfgzz9N2/v06cOmTZsAmDBhAt99912Gx3oc/5j7Mfd5FPeIsLgwkg2m8AJHa0c8HTwp6lgUb2dv7KzsMjxOZuj10LIlHD8urzdokICvrwMgcHFxITw8HI3mGZf/ykU/x8TE8PLLL5vNDLTA0XEvsbGm//eoUXKYUurshymzEU/S5YpOjOZc6DnOhpwl8HEgwdHB3Iu+R1h8GEn6JJL0SQghcLRxxMnGCVdbV0q6lKS0S2nKuJZBd1/H/0b8j4jgiFRHtgHeRp4vSC0UsgoYhzyPkD7W1tZ89tlnfP7559jaPuWhKs/J/frIkSO89957ZsZC8PT05J133uHbb7/Fyso0j5TV6+tpwjc6mlHXrnE8lQhuBzc35laqyNoTM5h2ZJpSXrFIRXYP3E0Z5wrUsb5EAEbPUWYwePBlVqxYUXCNfwYJjIuji78/1xMSlLKZFSrwiVErZ8LuCcz6bxYAxZ2Kc2XUFQIvutCggVzXygpu3YKSsmQOoaGhlC5dWtFw8/Pzy/tJiOfku6ySlocPHzJmzBjWrl0LyEbbTl26MHDgQPr27fvsjzVULCmk7/Kz+Nv4zJKLPu7atSs7dsjyHWvWrKF///6Z1m/QoAFnzpw5I4RokO1m5pEBJw5YJIR46nInSJL0HTABeZKsvhDinNk2e2RPm1IYDTJZMOAcA5oBzYQQx3PYpgwNOFFRUXh4eCipfO/evUvJlJFGbnkOBxGnT59WRKKcnZ0JDQ3l4EF7un66F8ZvhNK9QWP5FNrN3Z0vypWjyXM2CwzkSx9//z188om87OgoZwcqZZQSePjwId7e3sr1GhAQQLVq1TAIA1ceXeFY0DGO3z3OpUeXuPLoCmHxGT9cW3wMJMq6laWKRxVqFa1F45KNaVyyMeXcyiFJTw4vuHgR6tWTjU8ATk6fEhPznUUbn2ly2M+xsbF0797dzC30TaysfkOnkyNb7exkoeqMbMYZDSISdAkcuXOEXYG72HV9FxceXECQ++vPSXLCMcKRCP8IEgMT4S6yKR4HZGPNp4DJUCtJYZQoMY1KlU7j6upKVFQUjx494sqVK8o1CtC4cWMOHDiAg1mq4qeOZ/x+HR0dzWeffcbPP/+cYZ3333+fRYsWKd/pZ2mQGpaczOc3brAkJMTiSi9ta8vsihXp4urAkK1D2BiwUdlWt1hddg7YSXGn4ixdKotzy0QD5fj22/FMmjSpAD/Fs8mDpCS6nT/PaTP388/LlOGb8uWJSYqh2k/VuBd9D4BxTcfxw0s/ULduBP7+bnLdz2HqVNPx+vbtq4QBDx8+nIULF+Ztg5/x77JK+qxdu5YPP/yQsLD0xzVvvvkmv/32G1ptQStHqOQbqgHn+SeHfSyEoFixYjx8KAf0XL58+YleOLkx4OSVaTgQOR3300i48f2GufEGQAgRj+z5DNDY+J7iQeSawfFcUtXLU3bv3q08aNSvXz/vjDfPKQ0aNKBKlSqA/MCwZcsWunSB1kU6wtwmcHIAhPwDwiSG+vfjxzQ9c4aXzp3jSEREIbX82eD2bZgyxbT+1Vcm4w3A6tWrleu1cevG+On86L+pP17fe1Hj5xq8u/1dlp1dxrGgY1k23gAIBLcibrH7+m5mH59N3419qfBjBUr8UIJ+G/ux7MwybkXcynD/mjXhs89M6wkJ/wPk79LJkyez3I7nifv379OuXTsz480YYJ1ivClaFA4cyNh4k5pkfTI7ru1g8JbBeH3vRafVnZj13yzOPzifJ8YbgBgRQ6hrKImtEuFtcPjKgfaL2zNp41j2HW/HgQPBdO1qeogTwoN7936gUqVDrF27jYMHD3LhwgX8/Pxo1qyZUu/kyZOMHDmSvJjAUEnLgwcPaNWqlYXxxsnJiTp16mBvlr5syZIlfP3114XRxByjMxhYGBxMlRMnWGxmvLGRJCaVKUNA48Y0s0umzco2FsabLpW6cGjIIYo7FSc6Gr74wvyo3wGP893l+nnBy8aG/XXr0sbVNEz79s4dxgQG4mjjxKxOs5TyeSfmceHBBV599a5StmiRZTa7ESNMeSnWrFmTK10ClReDTZs28dZbb1kYb6qnqrN+/XpGjx6t/s6oqLwABAUFKcYbFxcXKleunK/nyysR45+BbyRJKi6EuJ9Hx8wrUgLSIjLYnmLgSRlVXgEaAlUACxFiSZKskAWRdcCNPG2lkb/++ktZ7t69e36c4rlCkiQGDx6sZJP49ddf6devHzNnQrNmQ8DhEXSeAHf/gLJDoGgbxbq6Ozyc3eHhtHVz4/MyZehQpEiWvDteFISQQ2lSMrbWqgWjR5tvFyz9damsCFUHfKv60m9jv0yPaW9lT2nX0ng6eOJh76GESQkE0YnRPIp7xMO4h9yNuotBGNLsHxobyroL61h3YR0AdYrVoVfVXrxa/VXqFKtj0X+TJsEff8CVK6DTOQA/Ab04deoUgwYNys2/5pnj0qVLdO3aldu3bxtLPgdMU9DVqskJ3bIiDxOaEMrn+z5n2dllPIh9kG4draSletHq1Ctej9petSntWhpvZ2+KOhTFzsoOG63sFRebHEtMUgxhcWHcjbrL3ai7XA+/zqWHl7j08BKxyZappuJ0cewP2c/+kP3MvDCTThU78da0t3hn2KuM+9CRO3fker/8AseOwfr1UKcO1KxZkyNHjjBjxgzlXrFixQpatGjBu+++m63/pUrmBAcH07FjR4uQqW7durFw4UJKly6NwWBg8ODBrFmzBoApU6ZQvHhxhpmnC3oKEULwz+PHTLh+nYBUaaxfdndnXqVKVHZwwPeeLz3X9VQ8QADGNBnDrM6zsNLIQ67vv5ez+gFouYseOYOSasDJOs5WVuyoU4fXL17k78ePAZgfHEyUTsfSmm+y2Hcxh24fQi/0jPpnFJNbTKFYsQRCQ+0IC4Pff4ehQ+VjtW7dmurVqxMQEEBMTAy//fYbw4cPL8RPp/I0ExYWxgcffKCsly1blkW3b9MFWQfn67ffNmZVhJ9//pmiRYsyxXwmTEVF5bnDPH14gwYN8j18Mk9CqAAkSZoNvIKcKOAMGXioCCHu5MkJs94uTyAEiAW8hBBJqbbvALoA/YQQ6yRJegdYDqwSQgxOVbc9sA84LITIcW7vjEKoDAYDxYsXVyx4J06coHHjxukdIqcnNi0/RzMCQUFBlC1bFiEEkiRx+/ZtSpcuTe/esGUL0GEitJohV3YoS7X633BVW5rU5oGaDg6MLlWKAcWK4fCsurzmYR9v2gR9+pjWjx2DFCeGq2FXmbxtMn9e/RMykKrxdPCkRekWNC/dnHrF61HNsxolXUqikZ58U0vUJXI9/DqXH13mTMgZTgaf5GTwSSITM3Z8q+VVi4F1BtK/dn9KusjeNv/+C61bm9d6jcaNgzhx4sQT2/BUk8V+FkKwfv16hg8fTqSSdncGcuiRTIsWsH07FMnEh9IgDOy+vptvdn7D8bDjihirORWKVKBrpa50qdSFtuXa4mjjmM0Plfac18KucSzoGMeCjrHv5j5uRqSfjc/F1oU3qg0geOswdqyoo5Tb2sLcuXIqYUmS/x9Dhgxh1apVxu22HDt2jPr1n0KJ82fwfn3z5k06dOigZE3UaDQsXryYoUOHWhhXk5KS6NGjB7t37wZAq9Vy+vRpIowekU+bm/i5mBjGBwayL5XHZnk7O+ZVqkR3Dw8kSWLDpQ0M2jyIeJ3s3qGVtPzU9SeGNTQZp+7ehSpVTB4gEoMRrEKSJGJjYy08lFSeTJLBwKCAANY/fKiUverpyWRPaLTEB73R+3Zy9ck83D+ExYsrAlC7Npw7Z/qa/fjjj4wZMwaAOnXq4Ofnl3cTOs/gd1klYwYNGsTq1asB8Pb25sKFCxQxy3Jo0OsZMGCAoosDsHjxYt43xUyqPKuoIVTPPzns44kTJzJjhvys+SQ90BQKXQMHQJKkwchJAjIKPQIQQog8S12eVSRJWgP0B74VQkw2K++EHEIVBZQTQkRIkuQCXEcOlWohhDhtrGsH7EfWv+knhFiXi/aka8A5ceIETZs2BcDLy4uQkJC8teA9x4OIzp07s2fPHgCmTp3K559/ztWrciiNTiegxzBosFSpP7btLCKKdWP1/fvoUx2riJUV75UowciSJSljlzMh3UIjj/o4KgqqV4d7xknkYcNg4ULBvpv7mHVsFruu70p3v4beDelRpQc9qvTAp7hPnno0GYSBc/fPsf/mfvbe3Mv+m/tJ0ielqaeRNPSu1psxTcbQskxLRoyQWKxk6g3B2tqH6Og7T7+IbWZkoZ/v3LnDiBEj+Oeff5Qya+s5JCePVdY7dpSNnI4Z2FqiEqNY6ruUhacXcj38eprt3s7e9KvVj761+tKgRIN89WATQnAl7Ap/X/2bTZc3cSzoWLr1qti25tbvH5N0oRsI+f752muwdCm4uUFcXBxNmzbl/PnzAJQvX54LFy48fXo4z9j9OjQ0lGbNminGGysrK9auXctrr72Wbv3o6GjatWuHr6/s6NqqVSu++uorJEl6agap9xITmXzzJivu37cICnTSaplYpgwflSqFvVZLsj6Zz/Z+xuzjs5U6bnZubHh9Ax0qdLA45pAhsHKlvFyNs1ymASAoV66c8r9TyR56IRh+9SrLQkKUspeKFKHK/TXMPy6HU3naeLKg+m+807+z4lW6fz+0aycvR0RE4O3tTbzRsnbu3Dnq1KlDnvCMfZdVMuaff/6hW7duyvrWrVvp2bNnmj5OSkqiZ8+e7Nolj5VsbGw4cuSIotmo8oyiGnCef3LYx506dWLv3r2AHD75xhtvPHGfQtfAkSTpXeAXwBE4iJyzd1U6r9V5cb4cMA5Zp+dzSZIOS5I0S5KkP4EdyJKY7wkhIgCEEFHAe8hi8gclSVpmFEL2QzbebADW50cjzcOnunXrpqrXZ4O3335bWV6xYgVCCKpUATm0XYK/FuJ0x/QgMffgxzSOPsC1Jk0Y6e2No9n/Olyn47ugIMofP07vCxfY9ugRyYa0HgfPM198YTLeFPUStH5vG02XN6XT6k5pjTeP4Z0K7xD4YSCn3jvFl22+pF6Jenn+MK+RNNQrUY/xzcezo/8OHk14xJ+v/0m/Wv1wsDY9fBuEgY0BG2m9ojUNljSg7uCVFC+Zkgq7BMnJ3+Dv75+nbXuaiI2NZerUqdSoUcPCeOPqOtPCeNOjh+x5k57xJiQ6hM/2fkbpOaX5eM/HaYw3nSp0YvObm7k99jazOs+ioXfDfA8/lCSJap7VGN98PEffOcrNMTeZ3mE6VTyqWNS7mniYpD49sf2oFtRbDtpENmyQM6n99x84ODiwceNGJZX1zZs3mTt3br62/XknLi6Onj17KgYIW1tbtmzZkqHxBmTR+TVr1ihZqP79918OHDhQIO19EmHJyXx6/TqVTpzgVzPjjQYY7u1NYJMmTCpbFnutlqDIINqsaGNhvKnsXpnjQ4+nMd6cOAFG5y8A+jEejEdP0XJTyT5aSWJJlSqMNxNo2xUeznmvvhRzlrNTPUp6xOawXxhs5lc9b55p2c3NjVdeeUVZX7cux3N0Ks8pUVFRFqGe/fr1k4036WBjY8PGjRvx8fEBZK/D1157LUPBYxUVlWcXIYRFCFVBGGrzKgtVAOCGnMnpqZxCkiTJHZgM9EZWM40GjgDT08smJUlSC2ShiGbIQSKByEaqH4UQqZ02stuWdD1w6tWrh5+fHwAbNmygj3n8Sl7wHM8CxcfHU7x4caKMqVz//fdfWrZsyaNHUKkSREYC2kSqftWdKzrZQiohsbznct6u9zaROh2/hIQwPziYm2bpSVMoam3NgGLFGFy8OHWdnNJsf2rIgz4+fRqaNAGDAaiwh/LvTeRmoq9lJYGcv+0EtC/fnr179haqflB0YjSbAjax4twKDt46mGa7q5UXkXuHw6mREOvF2LFbmDOnV4G3M89Ip591Oh3Lli1jypQphKYIbCAbPlq2XM+//76ulPXsCRs2gLW15WGvhl1l1rFZrDy3Mo13UxG7InT07EjPEj0Z0HVA3n+mHCKE4NDtQyw6vYiNARvRGXSWFaKLw4nRcHo42uQifPMNfPopLF26WNG5cHJyIjAwkGLFihXCJ8iAZ+R+rdfr6dOnD1u3bgXksKktW7bQo0ePLO3/8ccf88MPsgaMp6cnq1at4uWXX8639mZGlE7HnLt3mR0URJTe8me+q7s731esSA0zi+fGSxt5/6/3eRz/WCnrXqU7K3utxN3e3WJ/vR4aN4YzZ+T1Hj2gxXaJFK31Dz/8kB9//DFfPteLghCCr2/fZsqtW0pZdatEAg70AkMCWknLlpf86dFUTt0uSRAYCBUqyHW3bt1Kr169ANkz7/r163nzu/aMfJdVMmfGjBlMnDgRkO9Vly5domjRovLGDPr4xo0b1K9fXwlhfvnll/nrr7/UCdpnFdUD5/knB30cGBioiBa7u7vz6NGjLP12FHoIlSRJ8cAyIcSHuT7YC0B6Bpzg4GBKGWePrK2tefTokTJDnIcnNi0/h4OIYcOGsWTJEgCGDh3KsmXLAJg1CyZMkOsUKRZD+SkdOBMqZyIyN+KA7Ir9d1gYP969m0bvIAUfJycGFivGq56elHva9Apy2cc6nWy8ORNyBjp9AhX2WWy31dpSPaE6fj/7Qbj84Hv+/HnKlSuXu3bnIedDzzP/5HxW+68mQZfKGJdsB35v4+Q/iIdXm/KsRcgppOrne/fu0a9fPw4fPmxRrVatWrz22kamTDHN7nfoAH/9hcVnPxl8kplHZ7I5YHOaDFJVParycfOPeav2W5w8Kn9vMhtECCFINBiI1uuJ1uuJ0+vRCUGy8aUsGwzKsl4INJKEVpLQIs+oayUJK0nCQaPBQau1eHfUarFOZwAcFBnEvBPzWOK7hOikVJlkEp3g9HD4bxwdmpTg1191dOlSl0uXLgFyJprMUl4XOM/I/Xr8+PHMnm3yPlmwYAEjR47M8v5RUVFUqVJFMToOGDBA0ZcoKOL1en4KDmbGnTuE6SwNgPWcnPiuQgU6mmlcRCVGMXrHaFaeW6mUaSUt0ztMZ3zz8enqfP30kywKD/J379Il+KaCxK/G7dn9v6lkzLTbt/ncLBzNJeE2UadHgD6etuXaYrN2P7t3yd+vjz6ClMs3MTGRYsWKKQ/beaZD+Ix8l1UyRqfTUbFiRe4YlfKXLl1qKYCfSR9v27bNwrvrk08+YcaMGWrSjGcR1YDz/JODPl63bh39+slJXDp37qyETj6Jp8GAEwjsFUKosv1ZID0DzpIlSxTXzI4dOyp6Lnl8YtPycziIOH78uJIq2MnJiZCQEJycnEhMlLPspEzKvfvhY3xrduTs/bNAWiNOCpdjY1kZGsqq+/e5l5RWawXkwf2rnp70LlqUGg4Ohf+DnMU+DgsLY8uWLfzxxx+cPXuWcuXK0ahRI+5H92BTxEaovxwk0/52VnaMbDSSltqW9OncB4MxpGzhwoX5nq3DIATxBgMJBgPxer38bjCQZDQG6IwGAF2qV3hCFHtu7GVn4D+ExYYaU8kb5He9oJxow9e9B1CzaDXsNBrlZWu2rC3s/swIs3bt3bOHt956SxE/ByhVqhRff/01VasOon17LYnGCLKmTWHPHnBykg0tOwN38t2x72SvJUkLWgf5ZeVIjRKN6V2zP9VLNCRGbyBKp+P8jRvEAi7FixOl0xGl1xOt0ynGmhjju64A7i+uWi1eNjZ4WVtbvJezs6OYVs/RqxtYcXIWIdHBljvqbMBvCO4BnzBmUBj/+18TQBbSPX/+PNWrp04GW0g8A/fr7du3W4QQjB8/nlmzZmWyR/qsWLFCCYO1trYmICCAihUr5lk7MyJap2PxvXv8cPcu91Pd46s5OPBNuXK8WrQoGrO+2BW4i2F/DeN25G2lrLRLaX579TdalW2V7nlCQ6FqVaMnKPD113KYagtJIkXJaffu3XTq1ClPP9+LzPd37vDJDbNkoVGXwP8T0McyrvwKZhtjqVxcZGFpZ2e52ttvv82KFSsAGDdunOIdliuege+ySuZs3ryZV199FZC9b4KCgrAznwV5Qh9/9tlnzJw5U1mfOHEi3377beGPGVWyh2rAef7JQR+bexJ//vnnTJ069Ql7yDwNBpwvgXeBmkKI6CfVf9FJz4DTrVs3Ra9izpw5jB07Nj9ObFp+DgcRQghq1KihpK81V/03z6ik0cCB448Ze8bSiLOg6wI+aPRBmuPqhWBveDgr799n86NHJGSgh1PF3p5XPD15yd2dFi4u2BVGJqsn9LEQgkmTJjFr1ix05jPNEtDIFdoDdqZMT1pJy6BagxhRYwSLZy1mxYoV6I2hBe3bt2fv3qyFTsXq9YQkJhKSlERYcjKPdTrCdToepyynKosxM9QkF+K1aiVJ2EpShgaeLK3nYH8toJEkNGbvkiShE4Ikg4GksmVJsrLid2trptjYgI0N2NsjOTrS4403aNulCw+itcxfpidWrwd7PS7F9DTvoCdB0nEn5iHBcY9JFBJo7UBrDxqbQvs/5xc2koS7lERM5FViIi5C7E2Iuwmxt0GXBBffoPj1etz3mwwk06NHD7Zt21bYzZZ5yu/X9+7do06dOoqmQ48ePdiyZUuOQgMMBgPNmjXj5EnZw+uVV15hy5YtedlcCx4lJfFjcDALgoMJT+VxU87OjinlyjGgWDELA25YXBgf7fqI1f6W3kH9a/dnQdcFuNm5ZXi+QYMgxamocmXw95e9cIpKEo+MdW7fvk2ZMmXy4uOpGJkTFMS462b6XVEBcP4T3K1tcFtzmRvn5fCX+fNN3lG7du2iS5cuAJQsWZI7d+7kPtzlKf8uqzyZ9u3bKxpdEydOZNq0aZYVntDHOp2O3r17W2hdfvrpp0yfPj1PjDhCCC5duoSfnx9OTk4UK1YMb2/vZ+6eIoRAr9cr2mhPHaoB5/knB33cpk0bxQN+8+bNSijuk3gaDDhWwDqgNHJ+Wl/VkJMxqQ049+7do0yZMsqDcWBgYP7MPr4Ag4i5c+fy0UcfAZapQIWAzp3BKBBOq1aweedjOq02GXEAvm3/LRNbTszwBzVSp2PDw4dsfPiQveHhGRoX7DUaWrq6Kq/Gzs44FcQP0hP6eObMmXz22WeWhcWAHkCpVJWvSrBLQDqaey4uLvj5+eFRujT3jIaZlJf5espytD5XslEqzxg2koSzVouTViuHO0kS1hoNVpIkLxvDo1LetZKEAdlYqrwAnRDE6/XEGgzE6fXEGd9j9Pp0Eplnk/hgiL0FcbfguhXsOwsnfNm/ezftUlLTFCZP8f3aYDDw0ksvKRkXSpYsyblz5/Dw8MjxMU+ePEmTJk2U9Z07d/LSSy/luq3m3E1I4Ie7d1ly7x5xqQzx3jY2TC5blqElSmBj9sCuN+hZfnY5n+//nEdxj5Ryd3t3fur6E31r9c30nLt2gdEeoKx37ix7QXp6egKyyF6sXq/qYuQDC+7e5cPAQFNB9FXwn0AjbU9OTZStapUrw+XL8uROcnIy3t7ePHok9/Xhw4dp1Sp9z6os8xR/l1WezMWLF6lVqxYge2revHmT0qVLW1bKQh8nJiby2muvWRhx2rRpw4cffsgrr7ySxmih1+uJj4/HwcEhzb1BCMGVK1c4cOAABw4c4ODBgxZeuObH//333/H29s7ORy5wHjx4wMKFC1m4cCGJiYlMnjyZMWPGPH2GHNWA8/yTzT7W6/W4ubkRExMDQFBQkCKJ8iSeBgNOytOZBGR2wEJJI/60kdqAM336dCZNmgTIN9uUL2o+nNi0/JwOIiIiIihZsiRxxjyhKWLGAAEBUKeOrPMC8Pvv8FKvx3T9rSsngk8ox/i42cfM7DQzXR0DcyJ1Ov4JC2Pzo0f8ExZGbCaZqiSggp0dtRwdqe3kJL87OlLZ3j5dLY8ck0kfm7sAA9RtWBf3V905nHwYvbkud1gVOOIG4Q/A3R08PCxebhUr4lyuHGGQ5iEov7DTaLA3eqjYG1/WGo1iAMjoBSajgE4IzgcEcC8kEuyrgVsIOESAxgoka9kDRWONRmuP1soeHZpMb2bPG1rk9MiuVla4WFnhotUq767G97C7d3EE6letiotWi7OVFc5arellXLfJ5wdRgxCE63Q8SEriQXKy8h6SmMiNhARuxMdzIyGBh8nJ2TuwPgnb0Lu806AFjVxcaOTsTHVHx8IJpXuK79fff/89n3zyCSB7hu3bty9PjF4vv/wyO3fuBKBq1ar4+/tjY5N7z7DjkZH8GBzMnw8fpgnvq2hnx6dlyjCoeHFsU123h24dYuyusfjd97Mo71urL/O6zMPL0SvT80ZGQq1acogOwOuvwx9/yMsHDx5U/mcNgNNPWR8/Tyy+d4/h5kkjYgLB/2Mc1v1B3PnOAPz9N3TtKm8eMWIEixYtAuCDDz7gp59+yl0DnuLvssqTMb8e+vTpw4YNG9JWymIfJyYm8sYbb6Tx9PT09MTNzQ2DwUBycjKRkZFKUg6NRoOrqysuLi5YWVkhSRJRUVE8ePAgS+0vXrw4GzdupHnz5lmqX5AkJCTwySefsGTJEhJTYr2N+Pj4sHjx4rzRocorVAPO8082+zggIIAaNWRh/OLFi3Pv3r0se9U9DQacg2RuuFEQQjwFU5uFi7kBx2AwULlyZW4YY7VXr17NgAH5lOHlBRlEvP/++yxduhSQ0zz+/vvvyrYJE2RRYwBvb3nWTbKNode6Xuy7aRLsfbPmm6zotQI7q6yp3Mbr9ewLD2dXeDi7Hz/manx8lvbTAMVtbChla0tJW1tKGV8lbGxws7LCzcoKV+O7m5UVTlqthR5DGsy2GYy6MdF6Pcf9/en7zjskaDTg6Eip1tWIrW1DuF6AtTvYFJHfKYXkaIvI4+dvG0mihI0NJWxtKWptjbuVFUVS3q2scLe2pohxuYi1NS5arWKssdVo8ixOfNmyZbz33nvAF8DXUOQ6Vm1moW3wK4l6y8GDl2Mx3m0wjAF138HTqQSJxv9nyitRCNNy6m0ZLGd1P70QGJANFebvKV4r4XfvkpycDDodVoBPtWq429vjqNVy/YIW/xNakMKh6DEkr5MIfSzo45WXi5UNA2v24d26/Snl6IGTVpul//OzNoiI0um4mZDAtbg4LsXFcSE2lguxsVyNiyOrPmEOGg31nJxo5OJCQ2dnGjk7U8nePvPvYV7wlN6v/f39adiwoXz9kUE4QQ7ZtGkTgwYNIjY2FoAffviBcePG5ehYSQYDfz58yI9373IyOq1DcB1HRyaWKcNrRYtilcpw43vPl8kHJrMzcKdFeRnXMix4eQE9qmYtw9a778Ly5fKypydcvAheRpvPjz/+yJgxYwAYAvz6FPXx88gnBw8yC7OBauxNnM/OI/rrY5DsQOfOsncUWBrXvLy8CA4Ozp0nwFP6XVZ5MqknBQ8ePEibNm3SVsxGHyclJTFq1Ch++eUXxfM+L/Dw8KB58+bo9XpCQ0Px8/NTjm9tbc3ixYsVrbGnASEE/fv3Z+3atRnW0Wg0bNiwgd69exdgyzJBNeA8/2Szj1etWsVgo6Za9+7d2b59e5ZPVegGHJXsYW7A2b9/Px06dADAzc2Ne/fuYZ9fmY1ekEGEn58f9erVA+QfraCgICU9cFSULCZ5/75cd+RIWLAAEnQJ9NvYjy2XtyjHaVG6BVv6bsHTwTPbbbidkMC/EREcjYriSGQkAbGxWX5gfBJajA/yZiEpGpAz+0RGkmRtTbJWi6EANHjsNRpK2NjgbTQ6pbzM171tbSlinDUqbEyu0NZotf7o9dUAaN01lJbj5vPz6Z+ISIiw2EcjaehWuRuD6w6mW5VuWTbq5RcjR45UsiVZAQfMvMxWr01g0PSN0GAJlDucZt9K7pUY13Qcg30G42DtkO1zPy+DiESDgStGg86GgDtsv30ZnZc12BfP0v6uWq1szHFxobHRqFPS1jZvr/Gn8H6dlJRE48aNOXfuHACNGjXi6NGjWKfOR58Oej3cuCEbMa5elT0htVqwsoLy5eUU29euHeTPP/9g4cKFADg7O+Pv75+tLHe3ExL4NSSExSEhaYSJAVq5uvJpmTJ0dXdP01+n751m+pHpbArYZFFub2XPZy0/Y0LzCdhbZ+33eccOk0cHyJ43r79uWn/vvfeUTIk/AOOekj5+Xjl48CC7gO/AFH4ZewuWXYct3wByZrDq1WWX+NKlSxMSEgJYevLmiKfwu6ySNRYuXMgHH8jaiLVq1cLf3z/9+3w2+1gIOH48hBkzjrF7dwIJCeUAG+NLADeAAKytr5OcvAe4m+YYRYoUoU2bNrRt25Z27dpRq1Yti1Cr/fv388Ybbyg6ZRqNhrNnz1KnTp2sfvx8xTz6AOSH2XHjxhEUFMRXX31FvHEitESJEly9ehUnJ6fCaqoJ1YDz/JPNPh49ejTz588HYMqUKfzvf//L8qlyY8B54cOZCpuUARzI6VPzzXjzAuHj40Pz5s05duwYycnJLF26lMmTJwNyxok5c8CY7Y2ff5aXW7Sw48/X/2TMjjH8fFp+OD4adJSmy5qype8WannVylYbytrZUbZ4cQYUlx8IE/R6LhsfGM8bvQDOx8YSlMplNCvokcOCEtObuXF0zPbx0iMlw096xhjzZRet9qkwzGSV6tWrU6RIEcLDw9Hr30GSjiKExOF/ivFmt6ncGfspS88sZfZ/swk2Zi8yCAPbr25n+9XtuNi68Gr1V+lVtRcdKnTAyaZgBxRXr15l8eLFyvqPQLPmzTh46yA/HljL5it/Qp/wNPs1L92cj5t9TM+qPdFqCkFc+ynDVqOhjpMTdZyceKtYMaKjG/He+Busf7gEWh2FIuXAuar8si2aZv9IvZ59ERHsi4hQyorb2NDI2Vk26Bi9dTyyYNh4lvjqq68U442dnR2rVq3K1Hhz65YcmvLXX3DwICQkZH58D49m1KtXhdKl4wgKWkV0dDTdu3fn2LFjuLi4ZLhfnF7PpocP+fX+ffab9UkKNpLEW8WKMbpkSeqlpBsyYhAG9t7Yy3dHv7PwwgRZ3H5AnQFMbT+VMq5ZFwMNC4P33jOtv/66pfEG4Pz588py7SwfWSU3vATUrl6dAQGXEEjgWA7eleDyGbhcnx9/hIULZZ2THj16sGTJEkDOtpYrA47KM8umTSZj7vvvv5/r8Y7BAFu3wtSpcOZMCaBPBjV9AEiJAq5WTUfLljG8/HI0NWvGY21tRdmyZdFmMlHXvn17fH196dmzJ/7+/hgMBsaOHcu+ffsKfdy2detWC+PNsGHDWLhwodKu119/nZYtWxISEkJISAjfffcdX3/9dWE1V0UlQ06fPq0sN2rUqMDOm+ceOJIkOQJVACchxL95evDnhBQPnP/++w9vb2+SjLOEfn5+1K1bNz9PbFp+zmeBfv/9d/r37w/IKZVv3LihPGgIAT16yA8WIKcYP3tWzgoihGDO8Tl8vPtjhNHZ2sHagV96/sKbtd7M83YmGQzcS0zkrvEVnJTE3cREQpOSiNTpiNDpTO9G8dasIiE/uCRHR2IwRIMUB/o40MeCLo7y9sW4+3d7koPcIdyGvi9ZM/MzOR1zoWTQKiB69OihiAi+9JI/u3bJj0/29uDnB1WqQLI+ma1XtrLYdzF7b+xN9zg2WhvalmtL+3LtaV22NQ28G2Cjzd9MTn379mX9+vVgDbUrQNPK8FfbEoTEhKSpq5W09KrWi3HNxtG8dN7Evj/vs0Bjxmznx6WloeE/0GAxuN0BGw+TMce5KhqXGhisnJ98MGTdqwbOztR1cqKOoyN1nZwonVVPnafsfn38+HFatGiBwah7NXfuXCUEyJzYWNnbZNkyOHYszeZscAtYAvzEyy+3YNu2bRZhLAYhOBYZycrQUNaHhhKdnh7Xw4ewdSslzp5lw9KlFhoQj+IescJvBYt9FxP4ODDNrn2q9+Hrdl9To2iNbLXaYIDu3WUPHICiRWWvo6JFzesYcHFxUULF7gPFnoI+fp4xv3etDw2l76WLkKJzF/kAhvbAId6eu3ehSBH466+/6NFDDpWrXr06ly5dyvnJn7LvskrWCA8Px8vLS8nYeffuXUqWLJl+5Sz08d9/w6RJcha63FCjBgwZAgMGQIkST65/6dIl6tSpo4RTbdy40UIPsaAJCAigUaNGyv2vbdu27N69O81kwK+//so777wDgL29PVeuXEkrHl3QqB44zz/Z6GOdToezszMJxtmp+/fvKxEfWeGpCKGSJKkUMA85n40WM8FiSZJaIo/EPhBCHMyTEz7DpBhwRo4cqaQLb9SokZJCNR9PbFp+zgcRiYmJlClTRhF5W7ZsGUOHDlW2BwVBzZqQIo0weTJ8841p/80Bmxm4eSCxybFK2UdNP2JGxxn5/pCeGcJMkDfZ7F0vBDYaDdZubljrdNjodETHhjHo10Fsv79dFtsxUs6tHD92XshXA7vg6yuXVakiG7Ecsh9V88xhnolr4MD3OHt2CRcuyNsaN4ajR+WwjhSuhV1jjf8afjv/G9fDr6dzRBl7K3t8ivvQoEQD6pWoR82iNanqWTXT9MJZQW/QczPiJttPbGfcnHFyrj9vMvSf1ESWZ2yr9/i44xBKOGdhdJcNnvdBhE6no2bNZly9+iZIo6DyXmj0M1TaCZLZPdOuODhXo3TJTjh6NCDIYJ+piLk5blZW1HF0lD2AjEadmo6OOKY2mj5F9+uEhAR8fHy4cuUKIPf/vn37FHd9IeDUKVnvZe1a0301NSVLyg8f1aqBk5McVhUfD+fPw+nTYEzikIpwYC6DB0fxw7wpnNbr2fzwIVvDwtINkUKvlw+2cyf8+6+8jhyOtWfPHnQldCzyXcSfF/9Mo3ulkTT0rdWXT5p/Qt3iOZtMmT5dfkhLYds2ecLAnOvXr1OpUiUAigIPoND7+Hkn9b1r3o1zjL39CCTj9+5BAoxox3ef2TJhAsTFxeHh4aEMzHOVHfQp+i6rZJ3Vq1czaNAgABo3bsyJEycyrpxJHyckwPjxsse3OXZ20KYNtG4NTZqAqytYW0NiohxmevkynDwJhw5Berc6jUbOcDdkCPTsCba2GTfPPMyjfPnyXLp0CTu7gg8HF0LQsWNH9u/fD0CFChU4efJkuhkMDQYDDRs25OxZOVNs//79WbNmTYG2Nw2qAef5Jxt9fO7cOXx8fAAoXbo0d+7cydapCt2AI0lSCeA0ckLibYAX0EwIoTVutwZCgD+FECNyfcJnHEmSfCtVqlQ/MTGRoKAgABYvXsz777+f3yc2Lb8Agwjz+NoyZcpw9epVbM1+4X7+WdbAAfmB/fhxaGD2Fbr44CK91/fm2uNrSplPcR/W9F5DTa+aBfIZso0kYZBgZV349K2iPIwzpZWUhMT45uOZ0nYKX050ZPZsudzaWv7s9esXUpsLmKNHjyru8FWqVGH9+is0bmxyVf7qK/jyy7T7CSE4de8UmwM28/e1vzn/4HzaSung5ehFaZfSlHQpSUnnkrjZueFi64KzjTNajVbJdhaXHEdsUiwxSTGExoYSEhNCcFQwV8OupnnQTENsUbj4BpqL/dixtBmdO+VPFqgXYRBx+PBh2rZtixBVgLlAFyhyQ/bIqfcLOD5Ks4+zrRuda79LhdIvE21bEt+YGM7FxJCUxfusBFS2t6eOkxN1U4w7tWpRNjQUCQr9fj1p0iSmT58OWOrSPH4Ma9bI3jbn0/k6WFlBx46yAaNbNyhbNuNz6PWwbJkvu3YV4+DBUoSnRAK6JEP9cGh5D5o+BMcMQrbu3IGdO7E9fJheLVtSsWJFLly4wKFDh4jUREIt0PhoMHikNbS52royqO4gxjYdS4UiFbL53zFx6BC0by974QB88gnMnJm23pYtWxRRzvbAPij0Pn7eSe/e1ffQQtYbqpiMOMFWeH/XiNu+tlhZWXprZuRxliVesLHX88Krr77K5s2bAXk8mTLxky4Z9HFgILzxhjxBloKDgzz2/Phjk6h5ZsTGyiGoGzbAn3/K66nx8oJhw2D4cDlBR2oeP35M5cqVefz4MQDTpk1j4sSJTz55HmN+79Nqtfj6+mYaeXD48GEL0ej//vuPpk2b5ns7M0Q14Dz/ZKOPly9fzrvvvgvI94uNGzdm61RPgwFnETAU6CSEOChJ0v+AL1MMOMY6m4GKQogCV8+SJOkWkNHQMVQIkUa5UpKk5sBkoClgBwQCvwDzhRBZj2NJvz2+bm5u9SOMsfoeHh7cuHEj0xj/POEFG0TExMRQsWJFxQtn/vz5jBo1StluMMizH0eOyOuVK8OZM/LMcAqRCZEM3jKYrVe2KmW2WltmdpzJqMajnjo9kZOlJEa/DCdKWZZLNyV2j9tNxzod04hrzp4NH31UsO0sTBITE3F1dVVSVoaGhrJ8uZcya67Vyg9iLVpkfpw7kXfYe2Mvh28f5vDtw9yMuJnPLbekVigUudqcf6/NhLtNwWDFggUmo2R+8KIMIj766CPmzp0LgJ3d63h5/cadO9agTYIq22VDTuWdIKU1Bng5evFa9dfoXfMNXNx98I+JxT82lnMxMfjHxhJhdMfPCi4xMdS8dYuanTpRy9GRmg4O1HR0pLiNTYFpGJw9e5ZGjRop7vc//bSQatWGs2wZbNokzxanpmpVOQPTwIGQDW9iDh48SCyQVLU2i0+FczAigsQy6brlyISHyzfwnTuplJzMZ59+yhtvvIGTkxP+of5sv7qd9X7ruRB+Id3dG5dszPAGw3mz1ps5EvU2584deRY9RSC/ZUvYv182kKfmm2++4UujlXgMspnwRfhNLkzSu3cl6ZOo9Ps7BJUcAhqjS2OQPUscfXjvVVsWL17M8OHDAejQoQN796YfTvtEXrCx1/NAXFwcnp6eipDu5cuXqVq1asY7pNPHR4/KhuvISNOmPn1knSXzkMrsEBMDGzfCihWyUSc1Vlbw2mvw4YfQrJlls37++WdGGgcIjo6O3L59O13Pl/wiISGBmjVrKll3R40apXgFZUafPn0ULaKePXuydevWJ+yRj6gGnOefbPTxiBEjWLRoEZAzo+jTYMC5A5wSQvQxrqdnwJkH9BdCZD+lT+7bdwtwwzhOSkWMEGJWqvqvABuBBGA98Bg5NKwqsEEI8Xqao2SvPb6A4u+watUqBg4cmJtDZvXEpuUXZBAxd+5cPjJaJ4oXL87169dxMIsTCgyEevVMrvtDh8qzyeYYhIEFJxfwyZ5PLDwhGnk3YlH3RdQvUfiuKxcfXOSLA1+w+fJmyw2RwC54q95b/LbmN27fhoYN4ZHRiaBrV1lg9BnSIc4TWrVqxRGj5W7Tpk307Nmbdu3kiAuAMmXg3Dlwc8v6Me/H3OdsyFnOhJzBL9SPK4+uZM17JgvYJNmQFJwE96BNhTb8ufoQh+Ne5TVM1v7hw2WvsvzsyxdlEBEfH0+9evWUkKFWrTrRufMOZszQmmY/nYORfFbh3PoXoqzTaqgAlHAqwavVX+Wlii/Rrnw7HK0duZuYqBhzUt6vxsWRtQAsGXcrK2o6OspGnZR3Bwc8bfI2vFOn09GkSRPOnDkDeFOu3BQk6V1u3kx7kdnbw5tvyvfQFi2ydh3qDAYC4uI4HR2Nb3Q0++7d4ypk/r8IsYMjnvDvXbj4MbVqJPLJp59Qr2M9/gv+j0O3D3Hw1kFFhDwNSVAmsgybJm2igXe2x0zp8vixbLAJCJDXixaVZ9wzkst44403+PPPPwFYDrwDL8xvcmGR0b3rVPApmm6ZgKH6ZMWIY//Inms9fODRI0qVkmdDrKysCAsLy9lE2ws49nrW2bp1K7169QKgWrVqBKR8uTMiVR/v3QuvvALG7OPY2MiTZR98kHe/0TdvwsqV8pg1OJ3bXYMGsiHnzTflcC2dTkfdunUVPadZs2Yxfvz4vGlMFpgxY4bygOvu7s61a9dwd3d/4n5XrlyhWjU5Y6hWqyUoKIgSWRH/yQ9UA87zTzb6uGHDhvgatSh2795Np06dsnWqp8GAkwjMEUJ8ZlxPz4AzCxgphCjwNEtGAw5CiHJZqOuC7G3jCrQQQpw2ltsB+4FmQD8hxLpctEcx4HTq1Ildu3YVzGzqCziISEhIoFKlSgQbf91mzpzJJ598YlFn1SoYPNi0njrdawoXH1yk/6b+nAs9p5RpJA0fNPyAL9t8SVHHHE6p5AL/UH9mHJnBugvrFNFlABsdJP8nIQ4LSJZn0atW9aFlS9nLCGTxu3Pncj4T9CwzceJEZsyYAcC4ceP44YcfuHMHfHxQQjdee02+FnLz1dQb9NyNuktwdDDBUcGExIQQlRhFVGIU0YnRGIQBgUAIgb21PY7WjjjZOFHUsSglnEpQwrkE8cHxtG7cGpAHL1euXCGq0mu05AhxyFnH2reXJT/yO+nRizSIOHHiBM2bN1dEe7t168b8+X8yfbo9y5ebwmRAYFflGHXfWs8txz8Jjb2f7vGsNdY0LtmYJiWb0LhkYxqXbEw5t3JIkkScXs+l2FjOxcbin2LcuXOH8Gw+LHpZW1PZ3p5KqV4V7e1xs7LK9u/M9OmzmDTpX+BdoCuyvJ0lDRvK3jZ9+8oaDumhF4LbCQlcjYvjanw8V+LiOGMMM4t/gnaQFmjk7ILL1SIc/t6WhNuxUOQmeFwFz8t41fEn1vkssckZe+pYaaxo4t6Eo4uPwhUgCY4cOUKLJ7nZZYH4eOjUSZ5tB/lBbdcuyOwrUr16dS5fvgzASaARvDC/yYVFZveuyfsn8+2lQ1Djf4oRp7Rkz39NfejRrJmiwfHHH3/wenqDgyfxAo69nnWGDBnCypUrAXm8MG3atMx3MOvjrVsEb7xh0q0pVkwWMG6QN/biNCQnw5YtMH++aRLKnKJF4f335deePaaQj4oVK3L16lWL1OP5xb1796hSpYoiXLxgwQLFGygrtGnThsOHDwPpj+MLDNWA8/yTxT5OTEzE2dmZZKP+QlhYWJYMkuY8DQacEGC/EKK/cT09A842oLYQonyuT5j99t2CLBtw3kGeFFslhBicaltKuPphIUSb9PbPYnt8gfr29vZcuHCBChVyHnOfzRObll+gQYS5G7S7uzsBAQF4mQUeCwH9+8vimyB7Xfj6QnrdkqhLZPqR6Uw/Mp0kvUlVztHakbFNxzK+2XiK2BfJz4+DEIKDtw4y679Z/HPtnzTb37wA1fbDV3KoM61ateLQocMMGSIbq0B2sz1wQJ41fhExzzBiLk64aZPs4pzCokVyXHlh8s477/Drr78C8sz9vHnraVQiiLvI2RgqVpSFDrP5u5EjXrRBxJQpU/jqq6+U9datW7N9+3bu3HFhwgTZaGZOiZJ6Bk3+l8hSf7AxYIOFBlV6FHUoSuOSjalXvB5VPKpQ2aMyld0r4+HggZAkQjw8uFC+PBc3beJCbCwXY2O5GBeXrWx0KThqNJS0taWkrS2ljO/eNja4W1vjotVgRzL26LFDz/3byaxc8YgNG6NB42oKFZMEIHB0MdChC7R/WVCynCBOL4gwwGM9PNYJwg3ye5ge7ukgRCehI4vGIyHwElGU0IXgGHcNffhZHkXf4X7MfQtR+SfhauvKy5VfpkeVHrxc6WWK2BdhwIAB/PbbbwC0bNmSw4cP52ryJClJnt3essVUtm6dXJYR8fHxODk5YTAYkIAYwAFeqN/kwiCze1eiLpFGSxtxXu8CNaYoRpxK9vZ037ePuZ9/DsCgQYOUh/ps8YKOvZ5VdDodxYoVU/RiTp48+eT0wMY+3kEXelrtICVStnRp2LtXThSRXyToEgiJDuFe9D2OXwhl2444jp1MRGdIAp09JDlBojNEe9O0eknOnfyK+PjfgDB27NhBly5d8q9xRkaOHMnPRhXnmjVr4ufnZ5FV8EmsXLmSIUOGALJ24eXLlwsnFbpqwHn+yWIfnz59WrkvVKxYkcDA9D2xM+NpMOBsAF4CKgsh7qc24EiSVBm4CKwRQryT6xNmv323AFtgAlAGiAX8kQ0x+lR11wD9gbeEEGtTbbNCDkqxQU6TnqPYiBQDToFbkV/QQURycjLVqlVT4m47dOjArl270JplfYmMlL0vbt2S12vVklPgOmeQLfha2DVG/jOSPTf2WJQ72zgzqO4gRjQckedCx4/iHrHq3CqW+C7hStiVNNu7Ve7G1PF/43NfFsY8YCxfsGABBsNIRo821f3pJ9mV90Xl8ePHSuy3lZUVERERODrK3iwjRsiGG5Bn0//9V85OVRiEhoZSpkwZkoxTeXv3Huezz5pw+rS83YVIjl9ypXr1gmnPizaIEEIwefJki9nXmjVrMmPGDLp168aePRIff5xWwLduXfhulg6riofZFbiL3Td243ffL8vnLWJXhMqB4ZSPAM848JzwPzwdPPF08MTdzoM4rRO3kuFGkpBfiQZuJulJyI/butCbvQRobEx6IXlBQijEXIXoq/J71GXQRWX/ODFe2D1uzKv12zC2V1vqlfDBKlU7b9y4QdWqVZW0wH///TddzQXBsnO6GNnYu3u3qWzOHDAmlsyQM2fO0MA4FV8JUCTyX6Df5MLgSfeuMyFnaLK0CTr3JkZPHNmdsZQkcff11+HhQzw8PAgNDbUYO2SJF3Ts9ayyf/9+OnToAECpUqW4c+fOk40FksRxmtCBfYpnbKVKsvEmM/H27KA36LkadpVT905xNuQsAY8CuPTwEkFRQdk7UIIrPKwOocXxMrgxfdSH9G1bFwf7/NF0DA4OpkKFCso4JidGo9jYWEqUKEG0McVhXnlQZhvVgPP8k8U+XrhwIR8YH6TefPNN1q3LPDBHCHmsuGkT+PnBvXvg59eA5OQCNuBIkjQI8BNC+EuS1AQ4AtwAxgJtgY8BF6A1MAcoBzQQQlzM0QlzQSYixjeBt4UQh8zqngIaAg2FEL7pHOsCUBOoIYTINCjWaKhJj2o2NjYO//zzT/YHArmgbbt2yvLBAwcyqfn8cfLkST777DNSrvdBgwbx9ttvW9S5dMmZsWPrkZwsu5O2avWQKVMukpF3qRCCo2FH+fXWr9yIvZFme02XmrT2bE1zj+aUciiVzhGezMPEh/wX9h+HHx7mbMRZDKnUISQkWnm2ol/pflRzqUbbdu14AJRA1pGQJIlPPz3Cd981w2CQb0ovvxzChAlXXjjdm9S8/fbb3DJa7GbPnk29evUASEzU8MEH9blxQ1azLlo0gcWLfSlSJLnA27hy5UpWrFgBQLVqtXF1PcCJE7LhSYOev+mG3YFMMmPkMSmDJ+eMLJvPKevWrWPx4sUWZZUrV6Zfv340btyMgwfL8csv5Xn82DKPa9OmYQwbdp1y5eIITwonICqAy9GXCYgOICAqgFh91j1KnowGbIuCfUmzVyn53a44aAs+ZawFiY8gPhjig+T32Buy0SY5IsuHsJascbdxp5hdMUrZl0J6XInTO5sTerYlRHuD0cunevUoRo4MpGbNtIaguXPnKiKYFStWZMmSJdkOIYiIsGbixNpcvmwKcXvzzTsMH572dyA1O3fuZKYxNVVvYJOx/EX7TS5osnLvWnlrJSturwCP5kZPHNmIo7l/H8Po0fDwIT/99BM1atTI1rlf5LHXs8jPP/+saFT16tUrS9nHirUbQUuO8Bj597l48Xjmzz+Lp2c6+b+ziF7oCYwJ5Ez4Gc5GnOVC1AXi9fE5Pl6mJLjgHNGEypomtC/VlDa1XXFyyrrgfmYsWLBAyc5TvXp1fvrppxx5z8yaNYu///4bgC5duvDpp5/mSfuyQ2F9l1/UsVdhkNU+/u6779ixYwcAw4cP580MXG9jY7Vs2FCKvXuLcfdu6mQJDYCcGXByM422ApgC+AshTkiS9D6wCPjLrE7K6EkHvFMYxhsjvwL/InsBRQMVgFHA+8AOSZKaCSFShE1Sovgj0xzFstwtNw3y8vIqUOPNi07jxo0ZMGAAq1evBmD16tXUqlXLwi22Ro1oxo27ysyZsljav/8WZdWqcgwZcivdY0qSREvPljT3aM7BhwdZdXsVt+NuK9svRl3kYtRFFt5YiLedN9Wcq1HZuTLlHcpTxKYIRWyKYK+1Ry/0JBuSiUqO4l7CPUISQrgWc40LkRcISQhJ99wOWgc6FutIn5J9KONQxmLbJkwioBUqvMWcOU0U4021alGMHXvthTfeANSuXVsx4Jw/f14x4NjaGvj66wsMH96AmBhrHj6046uvajJr1jmsrApuxiUpKcki24Kd3a+K8QbgJ0bShV0cpOAMOC8qffv2xdnZmXnz5inxzteuXePrr7/Gzs6O5s2bM2JEJ27deo2NG8uTkCDf248f9+DECXfatn3IgAG3aV6hCM09mwOyOHpwfDCXoy9zK/YWwfHBBMUHcS/+HgmGhBy00gCJofIr4kzazVZOYOMpG3lsi4KtJ1i7g7WTvE3jClbOxnV7kDQZe9oIA5LQoTEkIxmS0YhkrHQxWCVHY62LxloXg5UuGhtdLHZJj7FLeoy1SEZK+ZMkNJINkmttAGw1tthr7dHoNdhp7HC1d8VOa4ertSvuNu7Ky1HrmGbgr28MO3bE8MsvyYSHyyLOAQEujBpVnyZNwhg06BY1akQr9QcOHMiuXbtISEjg+vXrHDx4kPbt22f5vxwQ4My331YnONg0EBsy5CaDBt3OZC8TN2+astUVeEpOlUwZUHYAh+6e5WbYMbj0P6jxNWisMBQvLrtXjRvH6dOns23AUXm2OJ3i4go0adLkifUfPrRlELsU442raxLffeefI+NNcHwwJx6f4Gz4Wfwi/YjRZZKFz4gGDR62HnjYeOBu44691h5rjTVWkhVJhiTi9fHE6GIIjXtEaOID9FI6wQN2UUQX38MZ9nAmCWbtrI5bSHfqW79MiyrFqF07gqJFs/95Hj9+zPbt25X1gQMH5jj0qWvXrooB5+DBg3z44YcWSUlUVAqSlCQXQLoZ6nQ6ib/+KsHKleWIiMjbBBOQOw8cAzBFCPG1WVll4APk1NseyMaO48ACIUTamI9CxiisPB7YIoTobSy7ClRGDgdLE9AmSdIxZCHjZkKI4zk8r2/lypXrX716NeeNz9mJTcsvoBuvXq+nc+fO7N+/HwAXFxe+//573n33XYsZ2I8+AmMGYQAmT75OrVqnKVq0KC1btsQmg0wvKdo0P5/+mS2Xt6Az5M3shTnNSjXjnXrv0LdWX5xsnNJWkCQ6IKttQ1UcHPyIi5Nn3itUkMPCspPW93lmzZo1Sva39FLE7twpZ+lK+aqMGCGHnhWU8WvFihWKl5iz83yio0cp2z5nKlP5Ql5R3XgLjHv37vHdd9+xePFiEhLSGlmcnJzo0GEQUVEfc/BgOYSwvFheeUW+v7RunfF1JITgXvQ9rtYtxT1neOQAYdO/4FHcIx7FPSIsPozoxGhF/DpFCNsgDGgkDS62LjjbOONs64yzjbOy7mrnxoM7rvx3wI1jB1xJinSDRFdIcINEFzBYUbEieHv/w7//DgXuU9TLi0sBATi7uaETAr0Q2Go02EhSvugP5Ob6ioqCadPk5+ykVM8ZnTrJoU1duoBGA5MmTWL69OkAtGjRQslIlxlJSfDNNzB9OqRIEEmSnPnNKLGWJTp37syePXLo7QZAkdx6AX+TC5KsXls3Ht+kypy66K2iwaMZUo1vEBrjZNu9ezT8/XdO/fVXpsdIwws+9nqWCAkJwdvbGwBra2vCw8OV8Or0ePwYWrUCY2InHInhwEknniSZY07AwwA2XNrAxoCNFkky0qO4U3EaeTeiQYkG1C5Wm+qe1anoXhEbbdYeEIUQhMSEMG/tL3y38k/wtoUyd8AlNOOdQnzg3CDKhA+mbRN3WraUP3PVqk8eD33yySd8//33ANSvX5/Tp0/n+LdDCEGtWrWULFrLli1j6NChOTpWjlFDqJ5/stDHcXFxuLi4oNfrkSSJiIgIiwyF587BW2+Z7gspODlB9+7QrRuULw/DhzfgwoWCD6FKY8B51pAkKSUE/bEQwsNYlmchVJmcVzXgFBKhoaHUq1ePkBCTZ0uTJk0YNWoUDg4OaLVazp27yI8/vkxYWD1jDT3wOrAZZ2dnOnfuTP/+/enVq1eGP0ShMaH8dfUvtl3dxp7re4jX5czt1d7Knmalm9Grai96V+9NKZfMQ7EeSJIxfKoishlH9s7x9JSNN5Ur56gZzyV3796ldGlZCNjW1pbw8HDs7S2T5H37LUyebFqfMgX+97/8b5sQAh8fH/z9/YFvgUnKtsGD4deVkkkSVh1EFDj3799n4cKFrF+/3mIWxhxJ8sHF5SciI5un2Va3LowaBW+8ARkmmsqj+3VICKxeDcuXQ3o/Oba2csa1d98FJ6czNG3aGL3RQrFq1SrFyFkQ5MX1deOG/J1dty7tv61SJdnY0rbtA5o2Lalo4Vy4cIGaNdPXLEtOlo81cyZcNPMhdnKCFSssRc+zQokSJbh/X85UdgVQtE1f0N/kgiI719aYX1bzY9AgecW9Kdpa36KXjJM8ISGc79iRWtlJ36iOvZ4ZVq1axWBjWtJ27dopE37pERcHnTubMtBZkczfdKOz2J3hPilceniJdRfWseHSBgIeZfwoUcKpBO3Lt6dD+Q60K9+Osq5l88R4rtfrqVChAnfu3AHgy7k/Eupgy57bf3FTswehTccLNNkOLvSF0yMguBGenhJt2kDHjvKrYkXLS/3Ro0eUK1dOyTy1adMmevfunat2z549W0l93rZtWw4UdEiiasB5/slCHx87dkzRYKpWrRoBAQFK9V9+kcd35nN8ZcrA1KlyhmM7s2j23IgYI4TI0Qs5SuPLnO7/NLyQNXoEkGBWtsZY1i+d+lbIAsjJgG0uzutbuXJlUeDI15b8eoE5ffq0KF++vDD2cwYvVwFnzP5lCQI6WtQZNmyYSEpKeuL54pPjxYm7J8TCUwvFe9veEx1XdRR1FtYRxb4vJpynOQuPmR6ixKwSosr8KuKl1S+JEX+NELOPzRbHg46LJN2Tj2/OYhBQXUCw0nYHByFOnMjpf+v5plq1akp/7t27N812vV6Ivn0tvzrz5+d/u/bv329s1wyLc3fvLkRSkii07/KBAwfEgQMHCvScTzMGg0H4+/uLyZMniypVqmRwL2kgYJNFl6W87OyEePNNIbZsESIqKtXBc9jHBoMQgYFCzJ0rRMuWQkhS2vOCEHXrytfy48fyfklJSaJu3bpKu9u2bSsMBkOe/J+ySl5eX5cuCfHWW0JoNOl/fnf3KwI+E9BZDB36ucW+YWFC7NghxOTJQpQsmXbf1q2FuHEj+20KDQ1V/r/29vZCp/4mFxjZubZ0OoNwHtJPMAXBFITVj22FtGe34MABwYEDwmvfPnErPj7rJ1f7+Zmhf//+ynd0+vTpGdZLThaiRw/Lrv2Nfpn2cWRCpFhyeolosrSJcm2lftl+Yyu6/95dLDixQAQ8DMjXe/C0adOUz9qkSROlPDYpVvx2ZpNoNf81of2fbfptfb++oP5SgXWM8vkrVBBi3DghDh8WQqcTYtKkScrxa9euLfR6fa7bfO/ePSFJcjpEjUYjHjx4kOtjZgt17PX8k4U+njdvnnJtDxw4UAghRHy8EIMHW+7u6CjEzJnytvSoX7++AHxFTmwJOdlJCMWAMxt5ij/Lr5yeLz9eyJmzBHDJrOwdY9nKdOq3N247lMvzqgacQiYuLk588cUXwsbGJhMjTlEhSVeUf5kkxQrobFGnU6dOIjw8vLA/jkIT6gp4oLTZ3l6I3bsLu1VPL6NGjVL68tNPP023TmKiEJ07W359VqzI33Z16/aKgPkW5+zRQ4iEBGMFdRDx1GEwGMS5c+fEF198IZo0aSI0Gk2q+0l1AT8LiLHovpSXlZUQrVrJRoN164Q4T00Rh12GfWwwyEafS5dkA9D338vGIG/vtMdOebm4CDF8uBCnT8v7m/PNN99YGBeuXbtWAP81S/Lj+goMlB8qXF0z/r/I90qDcHQUwskp4zoODkL88INs2M0JW7ZsUf7HzZo1U3+TC5DsXlsLf4kUfFhZeWB1ntNZsGuXYsQpe+yYuBYbm7WDqf38TKDX64WXl5fyHT19+nS69QwGIYYMsezWuYxOt48NBoM4dOuQGLx5sHD41iFdY4j9VHvRZ30f8bv/7yIyITJHbdcZDOJxUpK4GRcnAuPixLXYWHE1NlZciY0VATExIiAmRgTFx4vI5GShN978Q0NDLcbA6X3eiPgIseT0EuGzsF76hpzPXAWdxwvcblr8P4oV0wtr67kCaghArF+/PkefKz1atmyptHnJkiV5dtwsoY69nn+y0McDBw5UrsF58+aJ6GghOnSw3LVWLSEuX878VLkx4OQ2hCq7OwshRB7mH30ykiTVBEKEEI9TlZcF9iJn8vxcCDHNWO4CXEf2zmkhhDhtLLdDjklphuydk3m+sMzbpIZQPSVcvXqVRYsWERISQkJCAklJSZQsWZIWLVrQvHlzbGwq0aqVRJAxS6OVlaBhw4UcPz5SOUaNGjXYv38/xQpZXGb16igGDQL50gVHRwP//KOhdetCbdZTzdatW+nVqxcguzKaixeaExsruwgfN1O9mjYNPvss7zVxTp26TuPGN4BOStkrr8Aff8hpzQHVjfcZIDw8nIMHD+Lr64ufnx9nzpwxhm66AW8DgwCfJx7Hjnjcve1xcJC1VwwGiI+XtRd0WZDZ0migTRsYMkQOlUpP8/HSpUvUq1dPSfM6a9YsxU29IMnP6ys2Ftaulb9H+/ebdGyyQrFiMHq0HH7l7p7zNnz66ad89913AHz88cd8P2uWaaP6m5yvZPfaSk6Gck39uNe1KVgZRV8fN4Zu3yg34mLW1uyqW5e6Tuno0Zmjjr2eCc6dO4ePjw8AHh4ePHjwIN0MdZ98AkZZFwA+/RRmzLTs4/jkeFb7r2bO8TlcfnQ5zTGsNdb0rNqTfrX60aVSFxxt0tfZidHpuJOYyJ2EBIv34MREHut0hCcnE6HTEaXXZ+uBzFmrxdXKiuj794m8eRPCwqjt7c3QV17B28YGb1tbytnZUcLGBo0kIYTgZPBJFp5eyPqL60nQpQqxMmjgSk84MQZutQFTkDd2dudYsqQ2fftqsLbORiMzYO7cuXz00UcAvPTSS+zcuTP3B80q6tjr+ScLfVy9enUuX5a/1zt2nGDKlMacOGHaPniwrI/3JI3t3IRQ5daAEwlEZGc/IUT5HJ0wh0iSNAX4DDiAnDY8GqgIdAPsgH+A3kKIJLN9eiHrCyYA64DHQE+gqrH8DZHTfxyqAedZ49o1+eHdGCoMQMeO+9i7t6Oy3rZtW/bs2YOVVYHaJwH5QeTLL2WDQgpawjl6vAhZSKDwQhMZGYm7uzsGgwFJknj48CEeHh7p1n38GNq2hfPnfmdoiwAAb9hJREFUTWXDhsGCBZBX3X7hArRs+YDISC+l7I03ZA0TC+1sdRDxzCGE4NatWxw6dIg9e/awceNGEhMrA/2BLmTFmJNVnJ2hZUvo1Ut+eXllXDc5OZlWrVpxwjj6aNy4MceOHSuULIkFdX2FhcH27bBo0RlOnEhEzgdleoCysoJ69aBJE/n/+MorlnHrOaVly5YcNQpmbN68mV7mehDqb3K+kpNra+lSeH/xEugxzFR4pREM+lq5IFy1Wv6uU4cWrq4ZH0gdez0TfP/993zyySeAnHlw7dq16dSRDTgpvPMOLFsGkkbu4weO8NP2L/n59M88inuUZv9aXrUYWm8oA+oMwNPBUylPNBi4HBfH+ZgYzsfG4h8by/mYGIJTK7IXMPYaDRXt7aloZ0cle3sq2dvjpdVx5sZ21vn+yPXH19Lso31UF/3R0XD+LdCZbpze3rI2yLBhuTOE37lzh7JlywJgZWXFgwcPKFKkSM4PmB3UsdfzzxP6OCoqCjc3N4QQaDTFqVYtmEuXTIbe7EzuFqYBZ4p4ykWMJUlqAwwH6gHFkUdpEYAfsBpYnZ4xRpKkFsDnyB43dkAg8AvwoxAiG3N36bZJNeA8Y9y7J2cwMX94b9AgCF/f+oD8Iz1hwgRldrWguH4d3n9fnlE2cZOxvMIc4V+gbXlWadasGceNrjV//vknr732WoZ1IyKgd28w/pYC8gPe8uVQpUpGez2ZxEQ5u820aYLkZNP3dNCg6/z6a0XSTAKqg4hnnocPH7J06VJ+/vlngoODAS/kKN16QA1krfySQMbZRRwcZONM5cry9VetGrRoAXXqQFbtLx999BFzjWn3rK2tOXPmDLVq1crNR8sxBX193b9/n9KlS6PT6QEHTpw4RfXq1bG1TWUwzQMSExNxdXUlMTFROXex4sVNFdTf5HwlJ9dWYiJUrCQIbjwA6vwuF+qBI7Ww/3wu8cYvmb1Gw6aaNemSgfFfHXs9G3Tq1EnJRvnLL78oWSBTWLECzIteeQU2bJANvgFFJWY3g9V1ITHVhI6zjTP9a/dnaP2hNCjRAEmSuJuQwNGoKI5GRnI0MhL/2Fh0ubw2XIxeNVaSnORAAjTGZQHE6vVE6fXEZMf9MBOsJYkSWj2JkQGEhh6D2BsQex0SH8oVYp3B9wM49SFEl1T2s7eXPRTGjpUzWeWExo0bc+rUKQBWrlzJoEGDcvlpsog69nr+eUIfHzp0yNgPztjbHyc+voay7aef4IMPsn6q3BhwCt5doIARQhwCDuVgv6NA17xvkcqziLc3HD4sz2YfMl5Nvr6lcXa+QXR0b2Af33//PU2bNuXVV1/N9/YkJckzQVOnWiqdw07gLYYTnu9teF7o2LGjYsDZu3dvpgYcNzc5vfjQofDbb3LZkSNyVqGvv5ZTRGfHG0cI2LULxo9PSTeY8sMRS+nSk1mxYnaBpS1XKViKFi3KpEmTmDBhAps3b2b+/PkcObIO2enTHAfAHbAH9NjYWNGhQ0tmzvyU2rVzYTUE/vjjD8V4A/D1118XmvGmMChevDi9evViw4YNQCy//baIefPm5cu5zp49qxhvKlasWOghtypPxtYWPvtU4sNxS8DrAhT3By1Q/wINN63h6lvvEpqcTLzBQM8LF1hdvTpvZubupvLUEh8fz7///qusd+rUyWL7tm1ypr4UWreWQzL9Hpxm2r/T2Dwq7THLuJZhbJOxDK0/lAhhw87Hj5kdEMDRyEjuGO8FT8JGkihjZ0cZW1uL91K2tnhaW1PEygo3KytcrazQZnGwoBeCaGPYVYROx69btzJ39Wrw9MS1YkXavvYawUlJ3IyPJyyTON1kIbij04BjTahglsUvORpirkF0AJQ5jNR+KTYBnUk8NAbuNiU+HhYtgsWL5bDeL7+E7P7s9OnTRzHgbNiwoeAMOCovPPJ1ZwNsVow3Go1s4C3ApJ3PvwfO04jqgfPskpgIH38sh81YshGYhLNzCGfOnKFSpUr5cv7kZFizRnbRCww0lWs0AoNhKjCFqhi4DGofZ5HDhw/Tpk0bQH6wCjT/x2aAEHKK8a++stQhKVtWtr4PHQoZTcYCxMTAxo0wa5YcNmXJcWAoy5aNY+jQoekfQJ0Fei65cOEChw8fxtfXF99ffuEqEJ9BXTs7O6ZOncrYsWNzFO506dIlGjdurKR4feWVV9i0aVO6mg8FRWFcX3v27KFz584AuLm5ce/ePezt7fP8PD/88AMff/wxAIMGDWLlypXqb3IBktNrKyEBypeH+wk34f2G4CDLKWrvafGdGcorAVe5bXwYl4CFVaowzNvb8iBqPz/17N69m5deegmQ9S0uyTMqAPz7r5wuPGWyrE5dwbTfDvPj2Wnsvp42ZXgj70aMbjqeot4d2B0ewc7Hj7kUF/fENpS3s6OOoyO1nZyo7ehIbUdHKtvbY5XP9+TY2FhKlixJZGQkYJnuOzw5mevx8QSm8wpNTs76SeLuQtQlbEKiSdrWAv59FfQmN8c+fWRDTp06WTtcYGAglStXBsDW1paHDx/i7Oyc9fbkFHXs9fzzhD5+9dXX2bz5TcA02btkCbz3XvZPpYZQPWOoBpxnn7//ll1pHz40L9UBK6hf/zinTi3J0wehhw9lj485cyy1eADq14dSpb5h27YvAfgEmAlqH2eRpKQkihQpQpxxgHXjxg3Kl8+aVJefnxwDf/asZbmdnayfUb8+1K4td0VcHISEyB5cJ06kFaC1tU0mMXE88BNeXp7cvn0bu4yEN9RBxPOPJCGAMODWqVPs2bOHP/74Az8/P4tqzZs3Z/Xq1VSoUCHLh7579y7t27fn2jVZv6BSpUqcPn0a18x0PAqAwri+DAYDlStX5saNG0D+ueP36dOHTZs2AbBo0SKGDRum/iYXILm5tn78EcaMASrshQEvgcYAwEslXmLZoC109vcnwOwB/dPSpZlWoQKalP5V+/mp5+OPP+aHH34AYMyYMYpn4tmz0K4dyLYNQfFWOyjdfxqn7h9Nc4yXb9jTOKEZ5ybPZXd4OHEGQ4bnc9BoaOLiQgtXV1q4uNDUxQW3vFD4zSHmAus+Pj6cOXMG6QkePVE6HZeMej3+MTGciYzkeGgo4kmi3gBxD+CSHvY0guNlIUr+7L17y4Yco5Z0ptStWxd/f1kqYO3atfTt2/fJO+WWp2jslZiYyPLlyzly5AhXrlzh2rVrVKxYkVmzZtGhQ4cCa9tzRyZ9LITAyWkhcXGmOKlvv4VJk3J2qtwYcApvqk1F5RmmWzdZD8fy98IKeJczZ5ZRrtxjfvxRFkDO6T3+4UPZRbdXLzmE66OPLI03bm6yQefYMT3Hj5tcgl7J2eleWGxsbBQPHIB9+/ZleV8fH9kYM326pcdNQoJsqJkzRzbwDB0KH34oe04dPWppvHF0hNGjBaVKdQbmAwbGjh2bsfFG5YVBAjyBhg0bMnHiRM6ePYuvr6+SKQXg2LFjNGjQgG3btmXpmFeuXKFFixaK8cbe3p5NmzYVuvGmsNBoNLxnNnW2ZMmSPD+HEIJjx44p682bN8/zc6jkH++/D6VKATc6wm5T5rBdIbtY+t90Dvv40Mhs9n9mUBCvXbxIbB5pjajkP7t3mzxpUjzyzp2TE1hERumh5h9YjarH/Q7dLIw3ktaBFg0m08HuKw68tZmvRnzBlrCwNMYbW0mic5Ei/FCxIqfq1yeiZUv2+/jwTfnydPHwKFTjDcD48eNxMKbM8fPzY+vWrU/cx8XKiqaurrzv7c2CKlXosG0bokcPePNNvH7+mdElStDUxQXr9OxADl7QsARMvAtbjsDSf2HgLTafi6FePcGgQRAcnPn5zcPdN27cmJ2P+8wTFhZGp06dGDlyJGvXruXMmTNER0fj5+dHp06dmDRpEsnZ8ZBSyRLz5j2yMN6MHm1g4sTCaUuOPXBUco7qgfN84esrK44bte/SUK6cnL2oVi2oUQMqVABXV/ml1UJUlPy6e1fWQbl4UX7IT+3VkULRojBunByq4+IiP8C1aNECkGVQ7yGH6at9nHVmz56tpE1+/fXX+eOPP7J9jPh4WLcO5s/PuO/MqV0b+vWTUxMfPLhZ0U5ycXHhzp07mT9QP0WzQCr5RCZ9nJyczPTp0/nmm2/QmVkDP/30U77++mtsMlDgPXXqFF27duXRI1l43dramnXr1hWIbldWKKzryyRmLP8vL1y4QM2aNZ+wV9a5efOm4iHl4uJCeHi47KGp/iYXGLm9tpYskbPngIDub0PDlcq2Vb1W0btmP94KCGB7WJhSXt/JiW21a1PS3Biv9vNTR0hICN7GsDdra2vCw8O5edORth2SCPP+DVrOAE/z8boGrXtjylYbzj2bciRk0KeV7O152d2dLu7utHFzw7EQMvtlhwkTJjBrlmygzKoXTgqhoaFUrFhRCcldvXo1AwYMAOQMW2eio9n96B6/BwVwTe+A0GYyQRViC0c9sfX1ZFJ3VyaM05BeVOulS5eU+7SDgwMPHz5UjFD5xlMw9goMDKRr167KJExGNG3alL/++ivDzKoqGZBBH58+Dc2b60hOloUuPT3/IzS0WdokI9lA9cBRUSlEGjSAPXtgz55EnJ23klq14tYtWdzq44+ha1c5U0yJEnIGGVtb2SBTsSK0aQMjRsj6OukZAJo3l0Xfbt2SDUYuLnK5+UxJD4zGG5VskTLjBrBjxw4SLJWhs4S9vRxWd+aM7Cm1dSv873+ykWbwYNng9skn8Mcf8OAB+PvDxIng5iaYPn26cpwRI0a8sN4QKlnD2tqaL7/8kqNHj1KmTJn/t3ff8VEU7wPHP5OeEGoChF5CldBD7/ClF0EEAaUjilSxAUpTUCw/kWIBpUqXIiJFpCO99957CEmAJIS0+f2xl8sFkpCekHver9e97nZvdnYuu7e5e27mGfP6r7/+Gk9PT6ZOnWoeEghw/PhxunbtSs2aNc3BGxcXF/7+++8ME7xJT1HJjKOkdC+cqKnDwZj1Lj3zDImk6d3b+PEFFKz7DS56mp/r+1df9lzbyiovL4YXLGhefzgwkOqHDnEoOVMUilS3yeLXtzp16nDhii21hk7nwZsloH2f6OCNU37sir+Da/2/iSj/FZftizwXvKlw6RITihXjbPXqXKhRg6klS9LKzS3DB2/AGEYWlf/r6NGjCe7VCfDll1+agzdeXl507drV/JyjjQ21smdnrGdZzjV8jUf1GzI62wMK+G2GR6fg2Yl98z2F12/x9KtjjC2/mzzfnGPsan/CI2P+rV955RXKlCkDQHBwMP/8809SXvZL5ciRI9SqVStG8ObTTz9l586dnDlzJkby7b179zJ48OD0aGamc++eMbwvKngDp+nXb1uygjfJJZ8ihEgh//ufI2vW5ADyY8xc/xdOTknvwmhrawRtxo+Hc+eMXjn9+xuBH0uWARwZPpU05cqVMyeeDgwMjPGBLikKFYJ27WDcOFi0yAjg/fgjfP01dOpkBO2ibN261TybgqOjI8OGDUvWvoX1qF69OocPH6Zly5bmdTdv3mTo0KHkyZMHDw8P8ubNS8WKFVmyZAmRpm79uXLlYvPmzTECl9auf//+5sfz58/nyZO40kcnngyfevnZ2xsBeQAi7eCPrXDP+FIeFhlGh6UdOHz7IP9XogQzSpXCzvQr7u3QUOr/8AMr69VLp5aLFzEPn7IFmxoeVJ1XgsD6gyH7DVD2kLcZtpWnQY2FhBfqQqCK2R2knIsL4+fM4XTPnhzr149PixShdGr3BEkFefPm5T2LOZDHjx9PQkZpXLt2jV9++cW8PHHixHgT67vaO/F5lY7cfO0L9lbxpqP/79ic/RJ8tkB4YMzC2cIJbHCHz7Mfw2XdbrrsusB/AQFEmtrVsWNHc1FjNsHM6969ezF60Do5OfHHH38wYcIE6tatS5kyZdiwYUOMHwQXL17Mhg0b0qvJmUJEBHTrZoySMPgDr9KoUaI7zaQoCeAIkYIaNGhA//6dgRnAq+TKVZJ//glm6lSj+3XdukZvm9y5jd43traQM6cxe1HVqvDWW0aelDVr4MEDI2gzZgzE9QPemTNnOHfuHGD8ov6/NHulmYtSKkZPhKhko2nB8p9tnz598PDwSLN9i5efm5sbf//9Nz/88AN5LKYwDgoK4t69e/j4+MQo36JFC3bv3k3NmjXTuqkZWpMmTczDnAICAvjjjz9SrG7LAE7UcFfx8nnzTaMHLQBPC8HCUbhGGAlbg8KCaLmwJWd9z9I/f342VKhADjvj19pgZ2c6fv45n/btS4QMocpQtNZs3LwRqgJD7NjivIRI11vg5AHF+qNqLYcyI4nIFnOea3d7e94vWJBj3t6crF6dMfPnU/bZGSZeQh999JG5F86RI0f46aef4i2vtWbQoEGEhoYCRg/Dtm3bJnh/NQrWYPlrc7nebQ6fuWvcjr4Nxz+EW6sgJOb/rjDXMJaG3aLe0aMU3LWXDy9epOyr0T9b/v333zxN4PTsL5vAwEBGjBjB3bt3AWPGxK1bt8bIAwRGTrcRI0bw5ptvmte99957MXrkisSZOBG2bIlaigS6oNQlatSokY6tkhw46UJy4GRuAQEBlC5d2vzFafjw4ebZDVLa6NGjmTBhAmD8ErHcMpGbHONE2b9/v/mCnCtXLu7du4ednd0LtkqePXv2mH+Rt7W15cKFCwmbASsDjMMWqSwJx/jJkyfMmjWLb7/9lusWXyaUUnTo0IFRo0ZRtWr6/moUn/Q+vyZNmsRIU0bCKlWqcPDgwQTngIhLQEAAbm5uREZGYmNjQ0BAQPR0t/I/Oc2k1Lm1ahVEx/pDKVCxISHdzvPgiZH7plC2QuzovYOiOYpyNiiINidOcMliSO7/cuZkUdmy5I4jT5VIO+GR4Uz4ewLjt46HHAAKcnpDgfaQqyaomL9x2wCt3Nzo4+FBazc3HCzHT2Si9/KoUaPMPyw5OTlx6NAhXnnllVjL/vTTTwwcONC8vH37durXr5/kfT8Nf8q6C+uYd2wef19YS4RrKcjdGHI3BMfYc7nY3btH+MaNsGULf0+fTuvWrZO8/xdKh+McGhpKzZo1OWLKrWBvb8+///4bY/KNZ/n4+FCmTBn8/f0BIz/epEmT0qS9Lz2LY7xtq6ZJE4jOSf45MBYvLy9OnDiRqGrDI8O5FnCNC34XuPP4Do9DH/N1j6+5ff522k4jLpJOAjiZ34IFC+jevTtgfDE/fPgwFSpUSNF9aK3x9PTkypUrgNFrpINlPgs5xokSGRlJkSJFuGnqJ7l582YaN26cqvts2bKluXtrjx49mDdv3gu2MJEATuaXjGOstcbHx8fc/d3V1RXXhEztms7S+/y6f/8+hQsXNufA2rp1a7Lb8vvvv5unJff29jYPlwTkf3IaSqlzS2uoUyeSPXuivrwv4c8Dzry58U2CwowcIMVyFGNbr20Uzl6YB2FhdPvhBzZWq2auo4CDA4teeYX6OXIkqy0iabTWrL+4no/+/YjT90+DnSt4tIR87cCl4HPlizg68k7+/PTy8CCfo2PslWai93JISAg1atQwT9FdqVIl9u7di+Mzr/3UqVN4e3ubr5eW06+nhPtB91l8cjHzjs3j8J2jkL085GkMuRuAfex5AnP6+/FRlap0yZOHYrFlPk6uND7OWmv69OnD3LlzzesWLFgQo4dNXGbNmkW/fv0A43vIkSNHKF++fGo1NfMwHWMfclMpnw937hirixa9xtWrxYFI+vfvz4wZM+Kt5n7QfbZf286OazvYeX0np3xOERb5TFqNGcAdJImxEBnFm2++SaNGjQCIiIjg3XffNeefSCl79uwxB29y5MhBq1atUrR+a2NjY0OHDh3My6k9jGr//v3m4I2NjQ2ffvppqu5PWA+lFHnz5sXDwwMPD4+XIniTEeTOnZuePXual1Oi56TljHbPdncXLx+l4P/+z/Kjcxf2r4I/u/yJo63xBfdKwBUaz2vMrUe3cLO3Z92IEYyxCM7fCg2l0dGjjLtyhfAU/lwg4nf83nGaLWhG60WtOR38FEp9ADX/AM/3ngveNMuZk9VeXlyqWZORRYrEHbzJZJycnFi0aJE5YHP06FFGjRoVIx9OSEgI3bp1MwdvKlSokOI9PHJnyc2QGkM41P8QJwccZ1ylDhS/vRn2dITjH8PdDc/lzPHPmYtRV65QfN8+qh88wNSbN7n7Eg+r+uKLL2IEb7744osEBW/AGJIf1RsqIiLC3FtfvJgG+jDbHLzJnRuKF/8MYwhV3Lnsbj++zfT902k4tyEe/+dBpz86MW3/NI7ePfp88CaZpAdOOpAeONbhzJkzVKxYkbAw4007c+ZM3n777RSrf+DAgebxyf369ePXX3+VY5xM27ZtMwfe8uXLx82bN1Ntxpg2bdqwdu1awAj4LViwIOEbSw+czM8K38sZ4fw6d+6ceWYTMKaqLVu2bJLqCggIIE+ePOb/AZcuXTLn2QGs8hinl5Q+typUOM+JE0ZyOnf30/j4vMKGi+tpv7Q9oRFGPpCSuUqyucdmCuUwZopbV6MGPb77jgem6eoB6mbPzrwyZSieGr0FMoA7d+6wZ88e6tatGyNHV5q34/EdRm8dzayj88G9HhToANm9nivnii39CuZjQP78lEpMIuJM+F6eNm0aQ4YMMS/Xr1+fSZMmceHCBcaPH8/ly5cBI+Bz8OBB85Teqe2870VGL1rJqrMrCfM4DLlqQJ4m4FYLbJ8Psik01V3s6VewOB1z5yanvX3Sd56Gx3n+/PkxflBo0aIF69atS9Sw3qNHj1K5cmXA6IVz5coVChUqlOJtzVSU4mfe5T1+Nq9auzaSt95yNw9JO3/+PCVLlgQgLCKMdRfW8duR31h3YR2ROu6gfD7XfJR0K0mR7EXI5piN5cOWc+/CPemBI0RGUrZsWT788EPz8ocffsitW7dSpO6wsLAYv+wmNCIv4le3bl3c3d0B44Pnvn37UmU/hw4dMgdvlFLS+0aIDKJ06dK0a9fOvDx58uQk17V69Wpz8Mbb2ztm8Ea81L78UgPGsfX1fYXlyyNoWbIlyzstx97G+IJ4we8C9ebU42IuY5tW+/ZxrFo1GloMnfrv4UMqHDjAjNu3EzTjz8sgIiKCNWvW8Oqrr1KoUCE6duxIsWLF+Oyzz3j48GGatiUoNIjPt3+O54yazPKPhJpL4JXRzwdvLjrxqVMp7tarzeQSJRIXvMmkBg0aFGOGwx07dlC7dm169uxpDt4AfPfdd2kWvAEo5V6CpUM+JuC7vXyoLuO4uAesPA7besCZifBgL0RGB0k1in3B4bx9/jzu/+2g2u5/+O3mZYIiIuLZS/ravHmzefgTQNWqVfnggw8SnZOtUqVK5qB1RETEC5NSCzhLaT4guvftsGFQvPh5c/DG3d2dEiVK4PfEj692fkXRKUVpv7Q9f5//O0bwRqGoXag2n9b7lA1vbiDgkwBuf3Cb7b22M7/DfKa3mk6BrAWS3E4J4AiRij777DPz9NSPHj1iwIABKfIhbePGjeapBAsWLJispHEimp2dHa9azGqwwjIpdAr6/PPPzY87d+6c5F/4hRAp74MPPjA/nj9/Pvfu3UtSPZZB9s6dOye7XSLjaN26FC4u0cOihgwJJzgY2pZuy7JOy8xBnGsPr1GvN5w0dT4p4OjIpooVmVCsGFETLQdFRvLu+fO0OH6cKyk4fX16ePjwIY0bN6Zdu3b89ddfRJi+JAcHBzNx4kSKFy/OokWLUr0dkTqSOUfmUmTuq4z1ieRJ1dlQpAc45IouFK5gcx4YnI83t29mQs38ZIln+mtro5Ri2bJlDBw4MNYJHXLlysWUKVNiTD2ellxc4NvRBbm5+m3eYCp8eRG+/gx+fgh/joPz30PAUbD4Uh2pbDkY6sjbF6+TbftmKmxbxrfn9hAUnrLDW5Jj586dtGvXzhz89/LyYty4cUmeVGPo0KHmxzNnzpQZqeIRGgpvspAnGAFcLy/46quYM0lWrF+RwesHU2hyIUZtGcXtx7dj1NGwaEN+avUTtz+4za4+u5jQeALNSzQnu1PseZuSSgI4QqQiFxcXfvvtN/PymjVrWLp0abLrXbhwoflx165dU22YjzWynE78999/N4/xTim7du3ir7/+Mi9/9tlnKVq/ECJ56tWrRzVT0tmnT58mKTGnv78/GzduNC936tQppZonMgClFO3aHQbuA3D3riNRKUDal2nPmq5rcLYzhkXdzQoNesEu08gFW6X4tEgR9lSpQlmLnh4b/f0pd+AA31y/TthLmBvH39+fpk2bsmPHjhjr8+XLZ37s5+dHjx49OHjwYKq1Y+2lLRRZNpg+tzUPSn1mzGCkLAIz9x1gTlF4oyZMeAInG9Kta+VUa8/LzNXVlenTp3P69GnzNSxbtmyMHz+eK1euMGTIkGTP1Jdc7u6waFF+CuRrBtfOw+YvYNp/8MEMGJ8D5i/A9sIceHQmxnaRNg6cIA8f33lK1u2bKPrPbww5sJwrD++kzwsB9u3bR+vWrc1BlgIFCrB27dpk5bFr27ateXZTPz+/GN8fREzjxsFhjNFMDjxl4UJwcjINwc0OtIZtFbbx44EfCQ6LDoR5uHowqu4oLg6+yNaeWxlQbQAerh6p2lb51idEKmvQoAHvvvuueXnw4MHcv38/yfU9fvyY1atXm5dl+FTKatq0KQULGskMfXx8WLx4cYrVrbXmo48+Mi936dIFL6/nx+ELIdKPUirG8NfJkyfHGDKQEH/++Sfhplwn1atXp2jRoinZRJEBdOjQEBhpXv7mG4g6TZqXaM6GtzaQ1cGYMt7PBZr0hBWno3t1VsuWjcNVq/JhoUJEfQV+EhnJJ5cvU/XQIbaZuuy/DHx9fWnSpEmMWdaGDh3K+fPnuXnzJgsWLKBIkSKAMZSjd+/ePE3h5LJrbp6g2NrvaXMlmJt5O0GWYjGed7mQHca9Al1rwvyi4LcRaICTU4A5952IXcmSJVm2bBl3797l7t27jBkzhmzZsqV3s8xsbGzo3ft/QH+gHPnz/weB+eBoL5g7m4h3Z2E3rBIVd+4ln88/EHQ1xvba1plrjiWYFuRO8YNHybnmBzpunc7OmwfTbGjj/v37adGiBY8fPwYgb968bNmyhcKFCyerXltbWwYNGmRenjJlSqYZrpmSdu4EyzzcXzGSChXgqv9VVjxdAUOAahBB9NC7Sh6VmN9+PteGXWNik4l45vJMs/ZKAEeINPD111+bE4f5+vrSq1evJM9K9cMPP5ij8+XKlUvx6cmtnb29PYMHDzYvT548OcX+2a1atYo9e/aY9/Pll1+mSL1CiJT1+uuv4+3tDRi9cCyHVSWEDJ/K/Jo2bYqNzTxgPwBPn8L770c/X79Ifbb03EJuY3ZxntpBpz86MXlP9P8UJ1tbvvX0ZE+VKlTIksW87YmgIBodO0bHkye5nMGHVQUHB9OsWTOOHDliXvfLL7/www8/ULJkSWxsbHjzzTfZvHkzLqYeRydPnkyRWXGCIiKYcvU8HptX0O7iA65mqWJMC25ir8NpEZ6b7O97E9y/MmzPAxE2NGp0DOgABNG4cWOcM2kS6ZSWN2/eDPu36tGjh+nReXx8GvHvv/40a2ZaFWlH+JVaHBszgsd9v+LDA60Z53Sf8iHHsA2JOQQGW2cCslZipfKi/jlfXP78lqYbvmLl+Q08TaURdgsWLKB+/foEBAQARp6VzZs3U6pUqRSpv0+fPmQxXV9OnTrFli1bUqTezOLhQ+jePTovdRM20SnrZN79+11KTitJ8CvBYHHs6xauy8a3NnK4/2G6V+yOg61DmrdZAjhCpIFs2bIxY8YM8/K6deuS9OXd19eX7777zryclKRm4sXefvtt8wfNEydOpMg/u7CwMEaMGGFeHjRokLlbqxAiY7GxsWHatGnm5T///DPGkKj4XL9+nU2bNpmXZfrwzClnzpzUqVMLiA74//UX/PlndBnv/N7s/Q1KGSnr0GiGbxxO/zX9eRoe3QOlRrZsHKxalW+LF8fFYkj0Sl9fyuzfz+ALFzLkdMhaawYMGGAO3iilmD17Nu+8885zZT09PWNMNf3VV19x+PDhJO3z0OPHvH32NG47tzHs6m3u2brFKJMt4iFj87vz/s6G/NOsHA+PGkEdBweYPRtcXD4F0y/prVq1SnQbRMZTsmRJ8/TO4eHhnD79O//8A1u2QI0a0eUCA+G78bmZ3rYTvc8MJaDeGywt6kpjdQOXUJ+Yldo6EZKzOpucatHxpg1ZFn1B9U//x8zqWfB74pfsNkdERPDRRx/RvXt3c4+0nDlz8u+//6ZoYugcOXLQq1cv87Ll9xEBgwbBtWvG4+xOlyn1vw6UGgIzDs0gXEcnxHYLcmNT903s6LWDpp5N0/X7l1UGcJRS3ZVS2nTrF0eZ2kqpdUopP6VUsFLquFJqmFJKMpyJJGnZsmWM4TNjxoxJ8BeCKJMmTeLRo0eAMctV9+7dU7SNwpAzZ0569+5tXv7++++TXeevv/7KhQsXAOOfqeS+ESJjq1mzZoxpXIcMGUJoaOgLtxs2bJh5+FSdOnXMQ0dE5mN8+d8PROe6e+89MP2QDkBxf9g9C2pfj17325HfaDy/MXcD75rX2dvY8GHhwpyrXp3uefOa14dpzfRbtyi+bx+fXLrEvQScg2llxowZzJ8/37z8448/xvjf+ayBAwdSr149wPjy2qdPnwT3Rr7y5AkTr13D68ABvA8d4re7Pjy1/Fk8MozcQaf4saALZ8u147/3vPhmrJ35V3UPD9i6Fbp0eRLjRxnLmZbEyy26Fw7Mm2ckGW/UCPbsMQKrr7wSXdbXF4YPhyKFbTn0szezi3YnqFln9lYoQ+csQeSIeCZAY+NARJ66HPjfp7zz1Urc1s2k7PJhTNw9lcv+iRtiC3D58mUaNmwY40fZsmXLsn//fipVqpTo+l5kwIAB5serV682z6pk7ZYsgQULAPtgqDuJ8KFl+LluICGWs81fA+bBhOITaFK8SYb44VxZ2zg4pVQh4ARGZyhX4G2t9W/PlHkVWAGEAEsBP6AtUBpYrrVOVjZCpdShkiVLVjl//nxyqknKjqMfW9lxzyjCw8Np2rSpkRALcHNz48CBAwnqiXHjxg1KlixpjtKvWLEiRsJdQI5xCrpw4QKlS5c2d3U/c+YMZcqUSVJdd+/excvLiwcPHgDwzTffxAjmJVo6Heeo8zZqWkqRiqzwvZwRz6+7d+9SqlQpc16C0aNHx5hF7llr166lTZs25uWdO3dSt27d2Atb4TFOL6l1bh0/fpyKFSsCOVHqDFobgZd+/eDXX02FTMf5iR30X/YWC44vMG9fIGsBlr6+lDqF6zxX975Hj/jg4kV2mX60ieKoFL3z5ePDQoXwTMfhLPv27aNevXrm2XJ69+7NrFmzXvjl5uLFi1SoUIEnpqFhq1evpl27drGWvR8ayrL791l07x67n/k7mAVfx/3hfv6vYnO6l23D9u2Krl3hbnRsjEaNYNEiI4izfv16c6+bMmXKcObMmdjrTQx5L2cIAQEBeHh4mD8nnzhxIkaewYgIWLgQxoyJ7nERxcYGmjaFt96C9u3B1RVOBj7ih4uH+cvvIfdt4phFKDIcAg6RP+Qir+ctQLfSLalWoBo2KvY+ElprZs2axfvvv09gYKB5fdu2bVmwYEGsuYVS6vrl7e3NoUOHAPj5559j5Oe0RlevQsXK4TzynA0NxkO2mMPpqnhU4fTU04ScNiYzuXjxIp6enmitCQgP525oKHdDQ3kQFsbDiAgehodH3yIiCIqI4ElkJCHP3J5GRhKpNTd69SL03LnDWuuqiW27VQVwlPFf5V+gGLAS+JBnAjhKqWzARYx803W01gdN652ALUAtoKvWekky2iEBHCt27949KleuzJ07Rqb7AgUKsHHjRl6x/GkgFm+//bZ5Rqtq1aqxb9++5z8oyTFOUe3atWPNmjWA8eF09uzZia5Da82rr75qrqdIkSKcPXsWJyenpDdMAjiZnxW+lzPq+fX999/HyIEzffp0Bg4c+Fy54OBgypUrx9WrV4EEXDOs8Binl9Q6t7TWFCpUiFu3bmHkVFlpfm7TJmjShBjHWUdG8v2e7/l408dEmqY3tlW2TGw8kY/qfPTclz6tNev9/PjsyhWOWHzZA1BAGzc3BhYoQNOcObFJw1+F/f39qVixIjdu3ACgcuXK7Nq1K8H5UT755BO++eYbwJjoIer4ANwICWG1ry9/+vqyLSDAImWohYgncH8n2fx2MqHqG7zr/Q62yp5Jk2D0aIjq1KMUfPYZjB0LUTOEDx48mOnTpwMwfPhw/u///i8pf4KY5L2cYbzxxhvmHGQffPBBjB4uUZ4+hZkz4fvvjS/xz3JxMYI5LVpA8+ZQrBicDwri52Fvs6xhQ24XiCM3jY6ERyfJ+ug47dxy0btMc+oXqY+9rT2BgXDw4AM+/vgXDhy4DxQ33Yri5paPPHlyYWencHeHokWNm5cX1KkDZ85sA5J//Zo2bRpDhgwBoEaNGuzduzdZ9b3MwsI05d9YwbkCn4J7zO/jngFOvHfCgyefzeazadPBwwMXT0/KNWjA3dBQ7oWGEpoS7/P+/eHCBQngvIhSaigwGWgINAbG8nwApw8wC5ivte75zPaNgc3ADq11g2S0QwI4Vm7Xrl00btzY3B0/V65crF+/nurVq8dafu7cufTt29fc1XjTpk00adLk+YJyjFPU1q1bady4sXl5/fr1tGjRIlF1zJ49m759+5qX4zx2iSEBnMzPCt/LGfX8CgsLo2XLlmzevNm8bu7cuTGGVwGMGjWKr776CjCu6efOncPd3T3uiq3wGKeX1Dy3+vfvz6+m7jalS5/g3DnjF/9ixeD4cXDN+vxx3nhpI11XdI2RR6NliZbMeXUOeV2jh09FidSa1b6+fHX9OgdMvcEslXB2pkfevLyVNy/F0qBXTrdu3cwzNObMmZODBw9SvHjxBG9/8+ZNihUrZh5quGTfPi7kycOfvr4ceiZQZaYjwO8A+GzCwf8AQ7z782n9T8nhlIOLF6FPH2MmmSju7kZvC3MiW4yAWIkSJcyzyqXI/2OQ93IGsm7dOlq3bg0Y+SevXLlCrly5Yi0bEQFr18K0aUbANS4eHuDtDVX+Ho8nl7DN95jdqyawJvgGN1Q8P8YFXkLdO4j9YWdCNzWCy00hPPE/3hUsGEyVKv4MGlSAhg3B3v6Fm8TK19eX/Pnzm3vNnT17ltKlSyetspfYlitbeGv+CO44XgWXwuBSBJwL45CtBE7ag0fZ3F5YR4qQAM6LKaXKAoeBX7TW7yulxhF7AGcB8CbQTWu9+Jk67ICHgAPgqrVOUkY5CeAIgC1btvDqq6+au1BmyZKFMWPG8O6775q7UGqtGT9+POPHjzdv17Rp07hz58gxTlFaazp06GCett3Dw4MTJ07E/6XMwtWrVylfvrz5GA8ePJipU6cmv2ESwMn8rPC9nJHPr8DAQJo2bWr+xdLGxoa+ffvSrVs3XFxcGD16dIzr8syZM3n77bfjr9QKj3F6Sc1z688//6RDhw4AvPJKY27f3mzOgdO3L/w2K/bjfP3hdbos78Kem3vM69xd3JnZZiYdynaIdV9aa7YFBPD19ev8E0cOi7rZs9PR3Z327u4UTYVgzuLFi+nWrZt5eeXKlebXn1D3QkN5bcIEdj99ClWrQp48cRd+eBJ8NsP9raiwR/So2IPPG31O4eyFiYiA6dNh5EiwnKyrbl0jt0WBAjGrOnfunHkotKurKw8ePMDBIQVmkJH3coYRERFBuXLlOHfuHGAE1idOnPjC7a5dM4bZLVgAp08nYod5Q6DhLWhyBUrYxjwXLD25Dff2w2EFW2vB+ZYQmjUROzLkzAkdOkDv3kbvnMR2vHvttddYtWoVACNHjrSK2VDDIyM5GxzMypsnmXVhB9cjHMG1BNhlefHGcchqa4uHgwN5HRxwt7cnu60t2e3som+2trja2uJsa4uzjQ1OppuzjQ0ONjbYAu3r1OHU0aMSwImLKfCyF8gKVNJaP4kngHMA8Aa8tdaHYqnrJFAOeEVrHe/AWaXUc9ublPH09HSJGg6TVho2amR+vG3r1jTdt4jd2bNn+eSTT8yJicH4UNG4cWPCwsK4efMmJ06cMD/n6enJ119/jZtb7NFhOcYpLyAggD59+pgTvtWrV4/x48e/cJx/cHAwH3/8MadOnQKgUKFCzJw5M3lDp0zS6zhH5QHJmjXxHzpE4ljjezmjn1+PHz9m2LBh5l/v41KuXDmmTp2KjU3880RY4zFOL6l5bj158oR27dqZe5MMGrSX6dOjp71ZTkc6moZWPXucwyPD+e3Kbyy9uTTG+mZ5mzHQcyDZ7J/PhxHlBvAXsB4IiqOMJ8YH2qpAeSC5/318fHzo06cPQUHGHlu0aMEnn3wS7zYauA+cBU4BB4H43kE2OhIVcIyI+9vgwW4INabwqp6zOv2L98fT1ROAQ4dy8NNPJbh8OXracBsbzZtvXqNnz2vY2j7//eaPP/7gp59+Aoz/5fHls0oMeS9nLFu2bOGLL74AwMnJicWLF5MjR44Ebas13LjhzIEDuThwIBfHjuUgJCSB89fkCIU6PvC/i+AVAXZxbBfqj3qwl3y+/jSOLECtbLVwUTkID1f4+Tly964Tt245c+ZMVs6ezUZYWOz/SwoVCqZ16zu0bn0HV9fwWMs867///mP06NGAMV35kiVLsLVN4Ot7CYQCV4ALFreLWhOWiEiXXXg4he7d48qdO3DnDty9y4dvvkkRFxfcgJwk/1oKRu/NC0nsgWOXAvt/GYwBKgN1tdZPXlA2KkvVwziej1qfIwXaJaxcmTJlmDZtGiNHjuT2bSN5VmBgIH/99ddzZb29vRk3bhxZsiQ9YiwSL0eOHHz00UeMGjUKMJKSrlixIt6pgQMDAxkxYoQ5eGNjY8PIkSNTJHgjhEgfWbNm5dtvv2XkyJHE1oPWxsaGpk2bMmDAgBcGb0Tm4ezsTMWKFc3JQW1tl9C4cVG2bDGGQr3Nr1RnP4W4+dy2djZ2vOv5Lt45vfn63Nf4moIVG+9t5IDfAQaVGESj3I1i/cGgEDAQ6AfsAjYCBwDLOZ0umW5LMT7wlwBeAcpgZN8ohNGlPCEiIyOZNGmSOXiTL18+Bg8eHKOMBnwxvkCdwwjanMWYCSRegYHk8L9IxJNtPPbZBBHRIalSrqV4p/g7VMlZBYBz51yZN68oe/bE7AlbvHggH398ltKl4xiChTF8PUpcQ9bFy69hw4YsWLCAK1euEBISwpIlSxKcsFcpKFz4CYUL36Jjx1tERMDNmy6cP5+VsC/XcINC3KAQl/NVJTTUhrAwGyIiFM7OEWTJEk7Wa1lxX12aO/P3cC77CWiaFaqUBieLz+4OOdH5WnI7HyyIeMICv70UDrnL/5yy07JQVapXjz63Q0NtOHjQjr17Pdi3Lz8+PtGfI2/ccOGXXzyZO7corVrd4fXXb5IvX0i8r69mzZrkyJGDgIAAfH19OXLkCN7e3on7A2cQTzCCweeJDtZcgefzZsUVvHlsQ2lHjaeDpgjG9fCNbt0ocu8eqyMj6WgqVqZMGVq/qEdtGsv0PXCUUtWB3cD3WuuPLdaPI/YeOOeBkkBJrfXFWOrbjZHIuJbWOknZn2QIlXhWaGgov//+O5MmTeLixedOO/r27cvPP/+M/YsGvsoxTjXvvfceP//8s3m5X79+TJ069bmkjX5+fjRr1sz8YR7ghx9+YOjQoSnXGBlClflZ4Xv5ZTm/IiMj2b17N4sXL2bZsmU8ePCATp06MX78+MTNVGeFxzi9pPa5NX36dHMwo2nTpixbtpFKlaJnumnIVjbxP2x1rCl5AfB/4s/g9YNZeGJhjPWtSrZiSosplMhV4oXtuBcayl++vqzy9WWzv/8LE23aAp7OzhR1cqKIkxOFHB1xt7fHzd6eHHZ2ONrY4KgUdkoxf/Fipv30E9jbo7Jm5aPPPydn4cLcCg3l5tOnXAsJ4XxwMEEJmBbcTilqZ8tG3ru3+GPex1D4HGSJuV2xHMX4ssmXdC7XGYUN//4L33wDFqmoACPh7CefwIgREN9oqPv37+Ph4UFkZCRKKe7cuUPevM/nG0oSeS9nOKtWrTLP1Ors7Mzly5fx8PBIXqUJOM7Hjh3jrbfe4uTJk+Z1OXLn5t1ffuGSZ37W+z8kEMe49xF0hXxhN2jrnpdhZf9HWTdP8/WrQYOG7N0Lc+fC4sXwbDosW1vo1cuYZatw4bh3MWzYMKZMmQJA9+7dmT9/fjwvOmMICAvjaGAghwMDOfz4MYcDAzkXHMyLrzYmIfcg8AJcsYPNLeBQWZb97ECn12OfDKYfRkJcSPgwvMSqWrUqhw8fliFUzzINnTqFEYyrbJmzJi2GUMXTLgngiFiFh4ezZs0aTp8+jbu7O3nz5qVMmTIJ/1IgxzjVBAcHU7duXY4cOWJeV6lSJYYPH06lSpVwcHBg1qxZzJkzB19fX3OZadOmMWjQoJRtjARwMj8rfC+/jOdXREQEwcHBSRuaY4XHOL2k9rl18+ZNChUqBICdnR0+Pj6cOpWTBg2iZ0QawVd8pUe+sK7VZ1czcN1Abj2+ZV5nb2PP+zXf57P6n5HVMWHn2qPwcLYHBLDJ359//f05Exyc+BeWQlxtbfHOmpVqWbPSIEcOKjrBvEO/8P3e72MkcgbI55qPEXVH8K73u9y/68C8eTB7Nly6FLNOpYwvqxMmQP78L26D5YQCderU4b///kuhV4e8lzMgrTXe3t4cPnwYMGZynTlzZvIqfcFxnj59OsOHDzcnCQZo1qwZs2fPpoApIVOk1ux79Ig5Ny+y6v59fOMbjBPxFNeQ65QIC6KZY17GNeuMs2m4U1AQLF0KkyeDRawIMAKZ/fsbs6/FlrLx8OHDVK1qxAxcXV3x8fFJ8AxyqS1Sa66GhHA8MJBjQUHGfWAgl0Li71lkySbkDpGPzkHgeSNoE3iB6jkrcWLyJJ5cqAmY8pPFlslEKcIAD6J7Du7atYvatWsn96U9RwI4cVBK5QBiz/L2vCla62GSxFi81OQYp6qgoCDeeecdFi5c+MKySil++eUX+vfvn/INkQBO5meF72WrO7+s8Binl7Q4t6pXr86BAwcA+P3333nrrbcYNw4s5iBg6VLo3PnFdT16+ohRm0fx04Gf0ESfG3mz5OXTep/Sv2p/HO3i+RU/Fg/Cwtj/6BF7Hj3iaGAgp4KCuJyIL0UJldPOjtIuLlRxdaV6tmxUy5qV0i4u2CrFmftnmLpvKvOPzyc47JmA0kMoea8kq8cdZ8PfTqxaBbt2RQfAotjawhtvGL1uKlRIeLvatWvHmjVrAPjuu+/44IMPkvlKLch7OUNau3Ytbdq0MS/PmjWLPn36JL3COI5zeHg477//vnl6ejB6/Xz33XcMGDAgzpyJWmvOBgez5PYVlt25yrkIJ7SKO7uJigyjgHrM/3LlpXW+knhnzUphRyf+/Vfx9dfwbPqlnDnhiy/gnXfAzqJarTVlypQxDwVetmwZnTp1SsQfImX4h4VxJjg4RrDmRFAQjyPi7qloyQYo4+KCl4sjD30Psuv0XAL9jsQYglkhbwXG15vE+O4tOHrEOA6lSsGhQ+DqGkulSvEvEDV5XYECBbh+/XqqDIuWAE4clFLOwLQ4nq6CkRfnP4yhuv9qrZfKNOLipSbHONVprZkxYwZDhw41TwP/rMKFC/Pdd9+l3j9ECeBkflb4Xra688sKj3F6SYtz66uvvjLnSnvttddYsWIFERHQzm4t6zCmNXZxgT17Eh54OHDrAEM3DI0xUxVAoWyFGNNgDN0rdE90IMdSUEQEF5884VpICNdCQrj19Cl+4eH4hYXxMCKCp5GRXLx6lTv370N4OCoykupVqlAgWzZy2NmR086OAo6OFDTdSjg7425vH+MLa0h4CCvPrOS3w7+x9erzCX7zOhTm3oqicLQXRDQCisba1uzZoUcPGD4cisZeJE6BgYG4u7vz9Knxu+vFixfx9PRMXCXxkfdyhqS15vXXX2flSiOJuL29PVu2bKFu3bpJqzCW4/z48WO6dOnCunXrzE95e3uzYMGCRE/RHRQRwep715l19QR7gyMItsv5wm2y2UD1bDmoli0bdtdcWT3dmeNrXeBpdGLi8uVh6lSwvPyNGzfOPMNthw4dzH+jlBYeGcmVkBDOBQdzNjiYc0+emB/ft+ip9CJ2SuGVJQtVXF2pkjUrVVxdKWATyq8HpjJ1/1QePX0Uo3zRHEX5otEXdCvfjbf72TB7trHe3t64BleNK2SiFP2BX02LQ4cO5Ycffkjsy04QCeAkQTxDqLJh5HzLBtTRWh80rXcCtmDkv+mqtV6SjH1LAEekDjnGaebs2bMsXryYY8eOcfToUXx8fGjSpAnvvvsuLVq0SN2s/hLAyfys8L1sdeeXFR7j9JIW59aZM2d45ZVXAHBxccHX1xdnZ2cCVA6qs58LlAKgWDHYuzf+mbMtaa1ZfHIxn2z6hJuPYiZC9nD1YHD1wbxT9R3cXGKfnTI51qxZQ7t27czLCR0SHB4Zzo5rO1h0fCnLT//Bw9DnO8Pb+5UnbPsHcKIbRMae308paNTIGO7QoQMkdZTH8uXLzT+olC9fnuPHjyetorjIeznDCgwMpE6dOuZjnjt3bvbv30/RxEYB4bnj7OPjQ8uWLc3DtAA6d+7M3LlzU2RI0rlHD5h+/j9W3LjIXcc8aJdCCd7W7oEj4Zdd4IYL3HYCP0caVXBg7GAHqhRx4PalS+b0DI6Ojty7d4/s2bO/oNaYIrXmUXg498PCuPH0qXELCTE/vhISwqUnTwhL5HvCzc6Oiq6uVHR1pUKWLFRwdaVcliw4mnrBXPK7xLT905h1ZBaBoTGTlhfPWZxRdUfRvWJ3HGwd+O03sMw//OOP8N57ce87XCnyYSRjB2PWrjp16iSq/QklAZwkiCuAY3quPbAcCAGWYAyDaweUNq3vrJPxh5MAjkg1coytgwRwMj8rfC9b3fllhcc4vaTVuVWmTBnOnTsHwOrVq43gh1Kcpiw12EcgRv6aypWN4Q6J+b4UEh7CLwd/4cudX3I/+H6M55zsnHit7Gv0rNiTJsWaYGuT/B8QLly4gLe3N48eGb9sN2/enPXr1z83HCQiwshPc/xkBJvO/8dOv6VctF9BqIPP85VG2sC5drBvKFxtADw/tESpYFq2dOa11xRt2yY80BWfN998k0WLFgEwZswYc8+DFCPv5Qzt2rVrVKtWjfv3jfeNm5sbP/74I507d45zeFOsLMpeu3qVZs2axZiRcNSoUXzxxRcpPtxm27ZtPI14yr18Ycy5cpA9D/156lwEspYCu9jGAb1YFhsbwu7fJ/TRIwgJoXSxYnjmz4+LrS0OShGhNRFAhNaEa02E1jyNjMQ/PNx8exgeTnLOdicbG0o6O1PeFKSpaLrP5+Dw3HHRWrP5ymam7JvC2vNrYwwtBSjtVppP631K1/JdsbMxxosdOgR16oCp4x1vvQXz58c9KRXAJqVoanqcP39+bty4kWqzSiYngGMt04gnitb6T6VUA+BToCPGdO8XgeHA1OQEb4QQQgghRObToUMHJk2aBBiz4ET1XnmFMyzgLV6zWU1kJBw5Am3bwoYNxrCqhHCyc2JYzWH0q9KPH/f/yNT9U7n9+DZgBHcWnVjEohOLyJ81P21LtaVNqTY0KdYEZ/vE9wQIDAykQ4cO5uBN4cKFWbBgAcHBisOH4dgx43bozANOBW8mtOC/UGotZL0DWWKp0L8YHO4HR3vC4wLm1XZ2ULo0lC0bwbp14wkO3oDWRxg2bB1NmzaNpaLECw0NZe3atebl9u3bp0i94uVRpEgRVq5cSePGjQkLC+PBgwd06dKFpUuX8uWXXyZu9kDgBNCyTh1u3TISjdvY2PDLL7/wdipONe1o60iPV5rT45U2hEWEsePaDlacWcnys7u5b5PTCOa4FAHnQuCcD1T8QdygyEhwczNuGLlEzvn5xbtNUuV3cKC0iwulXVwo4+JCaWdnSru4UNjJCdsXBNACQwNZfGIxU/ZN4dT9U88975XHi8/qfcbrr7weI3B96xa8+mp08KZ8eZgxI/7gDRi9NKJ07Ngx1YI3yWW1PXDSk/TAEalGjrF1kB44mZ8Vvpet7vyywmOcXtLq3Nq/fz81atQAjF/57969i5199PCg2bM0pomQAGjVClasAKd4JqKJS2hEKEtPLmXy3skcuXsk1jIOtg5Uy1+NOoXqUKtQLbzyeFEsR7F4e+hERETQtWtX/vjjD8AWe/uGdO/+O6cuOXPw6lki3I9DgX1QcB/kPg0qjnP3sQec7oT7vc6UdqlN0SI2FClCjFvx4tFTf1tObdylSxcWL14ce72JtHHjRpo3bw4YX+SvXLmSuF4XCSHv5ZfCli1b6NWrFzdu3IixvmLFirzxxhu0adMGLy+vOM+PUKWYBEwEojIgOjg4sHjxYvOU5akhvutXpI5k3819rDyzknUX13H6/mlQduCUD1wKg0shcMwDDm7GzTYfOGUHu5QZ5u9qa0suOzsKOTpSyMnJuI+6OTlR0tmZbHaJ6y8SERnB9mvbmX9sPstPLycoLOi5Mq1KtmJI9SE09WyKjYoZZAkMhPr1jUA5GD0dDxyAkiXj3294eDj57e2J6t+4Y8cO6tWrl6i2J4b0wBFCCCGEECIdeXt7kz9/fm7fvs2DBw/Yvn07TSye79MHAgIgagKkdeugRQtYtcqYMSYxHGwd6F6xO90rdufo3aPMOzqPhScWxhheFRoRyq4bu9h1Y5d5naOtIyXdSlIgawHyZc1HHpc8ONk54WTnhI2yYdGyJRz3ewStGkNWZ8Ky+jI7exVodPeFbXKOzEMVp9dpXaQzbSrWpURx2wTnrendu7c5gLNq1Sr8/f3Jmdg/SiyWL4/+Tb1Dhw4pH7wRL43GjRtz8uRJPv74Y2bMmGFef+zYMY4dO8aoUaPImzcvTZo0wdvbmwoVKlC8eHEuX77MiRMn+A2w7APi6urK6tWrady4cZq/lig2yoZahWpRq1Atvm32LVcDrrL+wnrWX1zP5iubCX6wK/YNbbOAbU7wrwAPKoD/Hbq18ebVNp0JjYzEVqnoG0YSYQcbG3Py8px2dmS3s8M+hXqoPAl7wrar21h1dhWrz63GJ+j5IZhZ7LPQu1JvBtcYTCm3UrHWExEBb74ZHbyxtYXly18cvAEjYBN19cwHqZb7JiVID5x0ID1wRKqRY2wdpAdO5meF72WrO7+s8Binl7Q8t4YMGcK0acYEqH379uW3WbOinzQd59GjYcKE6NWvvALr10Phwsnbd3hkOHtu7OHv83+z5vwazvieSV6FL2CDDVXy1qBV6aY09WxKzYI1zfknksL0izQAP/74I+/Fl200AUJCQvDw8ODhw4dAKiYklffyS2f79u1MmzaNtWvXEhISkujtq1WrxuzZs/Hy8kqF1sWU1OtXSHgIO6/tZPOVzWy9upWDtw8SqSPj3Savc0EaFK9NFY8qVM5XmUoelciTJQUSUT3D/4k/h+8cZs/NPWy5soXdN3bzNOJprGXdtTsVIypS26k2eXPkpWXLlhQvXvy5clrDkCFgMZs7M2fGTGIcnz59+jBnzhwABgHTUvm9LEmMXzISwBGpRo6xdZAATuZnhe9lqzu/rPAYp5e0PLf27NlD7dq1AciePTv3Hj7EPNG36ThrDd9+C598Er1dvnxGgs3//S/l2nIv8B67b+xm141dHL17lFP3T3E38MU9aWJjpxwombMUXh5l8c7vTY0CNaiavyquDklLohqbH3/80TzLlbe3NwcOHEhWfX/88QedO3cGoHjx4ly8eDF1euDIe/ml9fjxY1avXs2aNWvYvHkzDx48iLd8FowhVIPCw1N3tlELKXX9ehjykB3XdrD16la2XNnC8XvHn0sGHJtczrko7VaaUm6lKJStEAWzFSR/1vzkdM5JTqecZHfKjoOtAw62DtgqW55GPCUkPISg0CDuB9/nftB9bj++zUW/i1z0v8jp+6e57H853n3mdslNfr/8nFhwgsibMYNODg4OTJw4kffff998DLSGESPgm2+iy334oXGdTYh79+5RuHBhQkONwXG7gVoSwBGWJIAjUo0cY+sgAZzMzwrfy1Z3flnhMU4vaXluaa0pXrw4V69eBWAV0D76yRhlFy2CXr0gLCx63aBB8PXXCU9unFg3fP2Yt/oKf26+w+ELt9FOD8DuKdiFgE0YhLlgr6BeDXea1MhH3Yr5KZg9P0WyF0mR2a3i4+fnR758+cxfoo4fP0758uWTXF/btm35+++/ARg7dizjxo1LiWY+T97LmUJkZCRHjx5l586dnDhxghMnTnD16lWKFCmCl5cXFebMoRNQADLFZ6+AkAC2X9xHrzG/EpDVDwruB4fn882klTLuZWhdsjUe/h58O+xbfO7GMpOdhfr16zN37lyKFSvGuHFgOblc587G9TWhMbaxY8fy+eefA1AD2AOoDBzAkRw4QgghhBBCpAClFN26dePLL78EYBEWAZxndOtm9Lzp1AmifvifPt3IjTNuHHTtaszUlFxhYfDvv7BwIfz5Zy6Cg3PFUioEWEXbtv6sWDEAe/u0zxWTK1cuOnTowNKlSwGYM2cO33//fZLq8vHxYf369ebl7t27p0gbReZlY2NDlSpVqFKlSuwFTMNrMoscTjl41as5Uzv40KPHJLBZA3mzQf6DkO8IeBzBxuMUkXYpH9Sxt7GnfN7yVM1XlfpF6tO4WGPyZ83Pzp07+V/b/5mDuGDkLmrcuDGBgYH8888/HDEluNmxYwfe3tXo2vU0P/4YPcyrXTtYsCDhwZsnT57w008/mZeHAxk9U5YEcIQQQgghhEghlgGcNcAjIFscZRs1gpMnjTwNps4iXL4MPXoYvyh/+CG8/jq4uyeuDT4+sHEjrF0L69ZF8OhRXN9mdgHzKFBgNz/99CXt2nVN3I5SWJ8+fcwBnN9//51JkybhEDVVVSIsXryYiIgIwEhG6unpmaLtFCKzaN++PU5O/QkJaQJ3euIWOpMHh4zZ8yLRkO0WdV49R9POl4jIcpObj25yJ/AO/k/8CQgJ4NHTR4RFhhEaEUpEZAROdk442jnibOeMu4s7ebLkIU+WPHjm9KRErhKUyFWCV3K/gqOdY4x2nD9/nvbt25uDN/nz52fy5Ml06tTJPPTx888/54svvuDLL78kIkLj5/dFjOBN8+awbBlYTP73QgsWLMDX1xeAwkDqzSeWciSAI4QQQgghRAopV64cFSpU4Pjx44QAfwI94inv4QF//QVz58L774Mp5y6XLsGAATBwINSrZ3w5KVMGSpWCvHmNURyRkUbvncuXjdvhw7BrF1y8aLmHZ4M3p4CFwGLs7W8xdOhQxo7di6tryuWzSaomTZpQsGBBbt68ia+vL2vXrqVDhw6Jruf33383P+7RI76/vhDWLWvWrLRt25Y//vgDmEvv3sWxsRnN5MkQFqbgUUF2/V6QPQub0LUrjBplJF5PSb6+vrRu3Ro/Pz8A8ubNy65duyhatGiMcvb29nz++ec0aNCC5s39iIhoY36uXr0QVq50wjFmXChekZGRTJ482bw8lJcjOJIyc38JIYQQQgghAKMXTpRFCSivFPTuDVevGj1vLGfQjoyE7duNL06vvQZeXpA7N+TJYwR/ypWDtm1h6FCYN+/Z4E2U68C3QCWcnKrRocNZ5s//nHv37vHtt99miOANgK2tLb169TIvz549O9F1nDp1ikOHDgHg6OhIp06dUqp5QmRKXbtG97xbuXIukyZpzpyBLl2iy0RGGsMwy5WDjh2NYHFKiIyMpFOnTlw0XbicnZ1Zs2bNc8GbKOfPw4cf1o4RvIGF3L9fg6Cg+7FuE5cNGzZw5owxW5+rqyt9k/IC0oEEcIQQQgghhEhBXSy++WwC7iVwuxw5YMwYI5AzeTLUqRMzR27CPQV2AqOws/OmdeuB/N//2bJ37wwePgxg5cqVdO/enZyWkaIMwjKAs379em7cuJGo7S2DPu3atcuQr1GIjKRly5Zky2YM9Lx8+TIHDhzA0xMWL4aDB6FZs5jlV66EqlWhVSujx19yzJgxw5yoWSnFokWLqFatWqxlf/8dqlSBo0ej1yn1PdCds2eP07x5cx5GdWF8gYcPHzJ48GDzcr9+/ciexNeQ1iSAI4QQQgghRAoqUqQIdevWBSAC+D3+4s/Jlg2GDYP//oM7d2DWLBgyBFq0gGLFjB467u5GT5xixaBKFX/s7GYDHwC1gWyUKzeA337zxMfnX/7+ew3Dhw+nRo0aScopk5Y8PT3NM+5ERETw3XffJXhbPz8/Zs6caV7u2bNnSjdPiEzHycmJjh07mpcXL15sfly1KvzzD+zda/T0s7R+PdStC7VrG7lnwsMTt9+bN2/yySefmJdHjhxJ+/btnyt3/jx06GDkBgsy5VR2cICffoIlSwpiY2NEuY8cOUKbNm0IDg6Od79aa/r378/ly8Z05lmzZmX48OGJa3w6kgCOEEIIIYQQKax3797mxzMxvjQkRd680KcPTJlifGG6fBn8/OD+fSNZ8bx5Ozl7tiDh4X2B77G13c9nn33M4cOH6du370vZA+Xjjz82P/7111/x8Yl/SuEoU6dOJTAwEDByEbVs2TJV2idEZmM5jGrJkiXmJOBRatQwcnUdOwZvvBGzZ+CePca64sVh7Fgjf9eLaK157733ePz4MQClS5dm9OjRMcrcvGkErsuVgz//jF5fsqQRUBowADp37hwjaPvff//Rrl077t+PezjVzJkzWbZsmXn5t99+o1ChQi9udAYhARwhhBBCCCFS2BtvvEFW0+MLwPbt21N8H7t27aJly5bmX5zz5cvH3r17+eKLLzJ8T5v4tGjRwjyd85MnT2IkGo3Lo0ePmDp1qnl51KhR2NjIVx0hEqJRo0bkyWPM6HT37t04r1cVKsCSJXDmDPTqFXPGpxs34PPPoUQJqF8fvvvOCPjEFrtevnw5a9asMS/PnDkTJycn/P2N+lu0gCJFYNq0mD17eveGQ4egcuXodX379o1xjdi8eTNeXl4x6gcjaLRy5UqGDh1qXte/f386d+6cgL9QxiFXNSGEEEIIIVJYlixZeMti2fJX4pRw7NgxWrZsSZBpTIGHhwdbt27F29s7RfeTHpRSfPrpp+blH3/8EX9//3i3+fnnn81lPD09X7ovZUKkJzs7uxjvGcthVLEpXRrmzIHr1428Xblzx3x+50746COoVMlItt60KQwaZPQk/PnnJ7z99hbgdeBdqlZdw5w59SlbFnLlgq5djWFbkZHR9dWvD/v3w+zZkDUrzxk2bBgTJkwwL/v4+NCuXTuaN2/OyJEjmTZtGpUrV6Zjx448ffoUAC8vL3744YfE/aEyAJXU7pwi6ZRSh0qWLFnl/Pnzab3j6Mdy3DMnOcbWIZ2Oc1SSuajcBCIVWeF72erOLys8xuklPc+tY0pRyfTYwcGBW7du4e7unux6fX198fb25tq1a4Ax7e7WrVspW7ZssuvOKCIjIylfvjynT58GYPz48YwZMybWsk+ePKFo0aLmoVa//vor/fr1S5uGynvZOljBZ689e/ZQu3ZtAHLmzMmdO3dwTOC83CEhsGaNMRPehg3wzAisJGvSxBhG1bZtwhK6r1+/nj59+nD37t14y7m5ubFz586Y18w0PMZVq1bl8OHDh7XWVRO7rfTAEUIIIYQQIhVUBKqbHoeGhjJv3rxk1xkWFkanTp3MwZusWbOyadOmTBW8AbCxsWHUqFHm5SlTpnDvXuzzeU2ZMsUcvClYsCA9evRIkzYKkZnUrFnTPH23v78///zzT4K3dXKCTp3g77+N3DWzZhl5cdzcEtcGOzvw9obx443Z+DZtgnbtEj4bX8uWLTl58iSdOnWK9XkXFxc+/PBDTp069dJeM+3SuwFCCCGEEEJkVv2B/abHM2fOZPjw4aikzQ0OwPDhw5+bdtfLyyvZ7cyI3njjDcaMGcPly5fx8/Pj1VdfZevWrTg7O5vLbNiwIcZwq48//vilzv8jRHpRStGlSxcmTZoEGMOo2rVrl+h6PDyMxOt9+hjDoM6fh3PnjNvMmRu5dOk24ETOnHl47bVGeHgoPDygYkVj1isXl+S9Djc3N5YtW8bZs2c5cuQIp0+f5tKlS5QuXZr33nuP3M+O93rJSABHCCGEEEKIVPIG8D7wGDh//jybNm2iadOmSapr3rx5TJ8+3bz8xRdf0KZNmxRpZ0ZkZ2fHTz/9RKtWrYiMjGTfvn307t2bRYsWYWNjw8mTJ+ncuTORpmQZ1apVo3///uncaiFeXl27djUHcP766y+CgoLIkiVLkuuzsYEyZYzbf//9xyefNDc/t2bNf9Spk/Rg9ouUKVOGMmXKpFr96UWGUAkhhBBCCJFKXAHLAT1jx45N0pTix48fZ8CAAeblTp06xRhilFk1b948xgwzS5cu5bXXXmPIkCG0atXKPA1xoUKF+OuvvxKcs0MI8bzy5ctTrlw5AIKDg/nrr79SpN7IyEjef/998/Ibb7xBnTp1UqRuayMBHCGEEEIIIVLRx2Ae1rNnzx42bNiQqO0fPnzI66+/zpMnTwAoW7Yss2fPTtZQrJfJ4MGDGThwoHl59erVTJs2jRs3bgDg6urK33//jYeHR3o1UYhMQSlF165dzctz585NkXoXLFjAwYMHAXB0dOTrr79OkXqtkQRwhBBCCCGESEWFgbffftu8PGbMmAT3wtFa07dvXy5cuAAY05OvWLECV1fX1GhqhqSU4ocffqBly5bPPWdjY8OSJUuoUKFCOrRMiMznzTffNAeHN27cyNmzZ5NVX1BQECNHjjQvf/DBBxQpUiRZdVozCeAIIYQQQgiRykaNGoWTkxMABw8eTPDQhIkTJ7JixQrz8m+//fbSzp6SHHZ2dqxatYr58+czZcoUpkyZwtSpU9m/fz+tW7dO7+YJkWkULVo0RvLiadOmJau+b775htu3bwPg4eHBiBEjklWftZMAjhBCCCGEEKksf/78MXLYjBkzxpx8Ny5z585l9OjR5uWBAwfSpUuXVGtjRufo6Ej37t0ZMmQIQ4YMYfDgwVStWjW9myVEpjN06FDz43nz5hEQEJCkem7cuMG3335rXp44cSJZs2ZNbvOsmgRwhBBCCCGESAMjRozAxTRH7vHjx/nss8/iLLtx48YYw66aNGnC999/n+ptFEKIhg0b4uXlBRhDoGbPnp2kekaOHGnO3VW5cmV69uyZYm20VhLAEUIIIYQQIg3kyZOH4cOHm5e/+uor85S9UbTWLF++nI4dOxIeHg5AhQoVWLFihTkRshBCpCalVIxeONOmTSMiIiJRdaxfv56FCxealydPnoytrW2KtdFaSQBHCCGEEEKINDJmzBjatGljXh45ciQTJkzg4MGDnDp1ig4dOtCpUycCAwMBY3rsdevWkT179vRqshDCCnXr1o1cuXIBcPXqVdasWZPgbf38/Ojbt695uXPnzjRo0CDF22iNJIAjhBBCCCFEGrG3t+ePP/6gcePG5nWjR4+mWrVqeHl5sXr1avP6/Pnzs379egoUKJAeTRVCWDEXF5cYwzhHjx7N06dPE7TtkCFDuHPnDmD0PJw+fXqqtNEaWUUARyn1tVJqs1LqhlLqiVLKTyl1RCk1VinlFsc2tZVS60xlg5VSx5VSw5RS0u9LCCGEEEIkmZOTE6tXr6ZWrVpxlnnnnXc4deoU5cqVS8OWCSFEtEGDBuHs7AzAyZMnYyRVj8uKFStiDJ2aMWMGuXPnTrU2WhurCOAA7wNZgH+BKcBCIBwYBxxXShWyLKyUehXYAdQHVgE/Ag7AZGBJmrVaCCGEEEJkSq6urmzYsIFx48bRsmVLKlSoQO7cualTpw7bt2/nl19+IUeOHOndTCGEFStYsGCMWaS+++47duzYEWf5PXv20K9fP/Nyjx49aN++fWo20erYpXcD0kg2rXXIsyuVUhOBUcBI4D3TumzAr0AE0FBrfdC0fjSwBXhdKdVFay2BHCGEEEIIkWTZsmVj7Nix6d0MIYSI04ABA1i9ejX//vsvWmt69uzJsWPHyJYtW4xyGzZsoGPHjgQHBwNG8GfKlCnp0eRMzSp64MQWvDFZZrovabHudSA3sCQqeGNRR9RcjwNSvJFCCCGEEEIIIUQGYmNjw5w5c8w9Aq9evUq1atVYuHAhERERXLx4kW+++Ya2bduagze5c+dm9erV0oswFVhFACcebU33xy3WRWWU2xBL+R1AMFBbKeWYmg0TQgghhBBCCCHSW4ECBfjpp5/My+fPn+ett94iR44clCxZkk8++YTw8HAAihQpwn///UeVKlXSq7mZmrUMoQJAKfUh4ApkB7yBuhjBm0kWxUqb7s8/u73WOlwpdQUoBxQHzrxgf4fieKpMZGQk27ZtS1T7k6uhxeO03rdIGw0tHssxzrwaWjxOy+P8+PHjNN+ntWpo8dha/t7Wdn41tHhsLa85vaTnudXQ4rEc58ypocVjOcaZV0OLx9b62StfvnwMHDiQuXPnEhQUBEBgYGCMMkWLFuWbb77h9u3b3L59Oz2amWQNLR6n9t876rgmhVUFcIAPgbwWyxuAXlrr+xbrspvuH8ZRR9T6HCnbNCGEEEIIIYQQImN6/fXXad68OStWrGD58uUEBQXh7OxM5cqV8fb2pkWLFuZZq0TqUFrr9G5DmlNK5QVqY/S8yQq00VofNj13HiMnTkmt9cVYtt0N1AJqaa33JnH/h0qWLFnl/PnnOvmkLqWiH1vhcbcKcoytQzod56hfIxo2bJhm+7RaVvhetrrzywqPcXpJ13NLjnPmJ8fYOshnr+cEBwdz69YtihYtir29fXo3J/nS8BhXrVqVw4cPH9ZaV03stlaZA0drfU9rvQpoBrgB8y2ejuphk/25DQ3ZniknhBBCCCGEEEJYDRcXF0qWLJk5gjcvEasM4ETRWl8DTgPllFLuptXnTPelni2vlLIDigHhwOU0aaQQQgghhBBCCCGsnlUHcEzym+4jTPdbTPctYilbH3ABdmutn6Z2w4QQQgghhBBCCCHACgI4SqkySimPWNbbKKUmAnkwAjL+pqeWA75AF6WUt0V5J2CCafHnVG62EEIIIYQQQgghhJk1zELVAvhWKbUDuAQ8wJiJqgHGVOB3gbejCmutHyml3sYI5GxTSi0B/IB2GFOMLweWpukrEEIIIYQQQgghhFWzhgDOJmAmUAeoiDH9dxBwHvgdmKq19rPcQGv9p1KqAfAp0BFwAi4Cw03lJcW8EEIIIYQQQggh0kymD+BorU8CA5Ow3S6gVcq3SAghhBBCCCGEECJxMn0OHCGEEEIIIYQQQoiXnQRwhBBCCCGEEEIIITI4CeAIIYQQQgghhBBCZHASwBFCCCGEEEIIIYTI4CSAI4QQQgghhBBCCJHBSQBHCCGEEEIIIYQQIoOTAI4QQgghhBBCCCFEBicBHCGEEEIIIYQQQogMTgI4QgghhBBCCCGEEBmcBHCEEEIIIYQQQgghMjgJ4AghhBBCCCGEEEJkcJk+gKOUclNK9VNKrVJKXVRKPVFKPVRK/aeU6quUsnmmfFGllI7ntiS9XosQQgghhBBCCCGsk116NyANdAJ+Bu4AW4HrQF7gNeA3oKVSqpPWWj+z3THgz1jqO5l6TRVCCCGEEEIIIYR4njUEcM4D7YC1WuvIqJVKqVHAfqAjRjBnxTPbHdVaj0urRgohhBBCCCGEEELEJdMPodJab9Far7EM3pjW3wV+MS02TPOGCSGEEEIIIYQQQiSQNfTAiU+Y6T48lufyK6XeAdyAB8AerfXxNGuZEEIIIYQQQgghhInVBnCUUnZAD9PihliKNDXdLLfZBvTUWl9P4D4OxfFUxWvXrlGqVKkEtjZlZLV4/DiN9y3Shhxj65Bexzky0ujIaGOT6TtvpjtrfC9b2/lljcc4vaTnuSXHOfOTY2wd5LNX5peWx/j69esARZOyrXo+d691UEp9B3wArNNat7ZYnwcYhJHA+LJpdQVgHNAIuAhU0loHJWAfcQVwKgORGImShUhJZUz3Z9O1FSKzkvNLpCY5v0RqkXNLpCY5v0RqkvMrcyoKPNJaF0vshlYZwFFKDQGmYLwR6mit/RKwjR3wH1ADGKa1npKM/R8C0FpXTWodQsRGzi2RmuT8EqlJzi+RWuTcEqlJzi+RmuT8Es+yur5YSqmBGMGb00CjhARvALTW4RjTjgPUT6XmCSGEEEIIIYQQQjzHqgI4SqlhwHTgJEbw5m4iq7hvus+Sku0SQgghhBBCCCGEiI/VBHCUUp8Ak4GjGMEbnyRUU9N0fzneUkIIIYQQQgghhBApyCoCOEqp0cAk4BDQRGvtG0/ZGkoph1jWNwbeNy0uSJWGCiGEEEIIIYQQQsQi008jrpTqCXwORAA7gSFKqWeLXdVazzU9/hooZ5oy/KZpXQWgsenxaK317tRssxBCCCGEEEIIIYSlTD8LlVJqHDD2BcW2a60bmsr3BToAXoA7YA/cA/YA07XWO1OtsUIIIYQQQgghhBCxyPQBHCGEEEIIIYQQQoiXnVXkwBFCCCGEEEIIIYR4mUkARwghhBBCCCGEECKDkwCOEEIIIYQQQgghRAYnARwhhBBCCCGEEEKIDE4COEIIIYQQQgghhBAZnARwhBBCCCGEEEIIITI4CeCkIaVUQaXUbKXUbaXUU6XUVaXUD0qpnOndNvHyMp1HOo7b3fRun8j4lFKvK6WmKaV2KqUemc6dBS/YprZSap1Syk8pFayUOq6UGqaUsk2rdouXQ2LOL6VU0XiuZ1optSSt2y8yLqWUm1Kqn1JqlVLqolLqiVLqoVLqP6VUX6VUrJ9z5folEiKx55dcv0RiKaW+VkptVkrdMJ1ffkqpI0qpsUoptzi2keuXlbNL7wZYC6WUJ7AbyAOsBs4C1YGhQAulVB2t9YN0bKJ4uT0EfohlfWAat0O8nD4DKmKcLzeBMvEVVkq9CqwAQoClgB/QFpgM1AE6pWZjxUsnUeeXyTHgz1jWn0y5ZolMoBPwM3AH2ApcB/ICrwG/AS2VUp201jpqA7l+iURI9PllItcvkVDvA4eBfwEfIAtQExgH9FdK1dRa34gqLNcvAaCev+aI1KCU+gdoBgzRWk+zWP89xpt3htb63fRqn3h5KaWuAmiti6ZvS8TLSinVCOOL9UWgAcYH1YVa67diKZvNVC47UEdrfdC03gnYAtQCumqt5ZdGAST6/CoKXAHmaa17pWEzxUtIKdUY4wvPWq11pMV6D2A/UAh4XWu9wrRerl8iwZJwfhVFrl8iEZRSTlrrkFjWTwRGAT9rrd8zrZPrlwBkCFWaUEoVxwjeXAV+fObpsUAQ0F0plSWNmyaEEGitt2qtL8TyK2JsXgdyA0uiPjyY6gjB6GkBMCAVmileUok8v4RIMK31Fq31Gssv16b1d4FfTIsNLZ6S65dIsCScX0IkSmzBG5NlpvuSFuvk+iUAGUKVVhqb7jfG8k/gsVJqF0aApyawOa0bJzIFR6XUW0BhjIDgcWCH1joifZslMqGo69mGWJ7bAQQDtZVSjlrrp2nXLJHJ5FdKvQO4AQ+APVrr4+ncJvFyCTPdh1usk+uXSCmxnV9R5Polkqut6d7yvJHrlwAkgJNWSpvuz8fx/AWMAE4pJIAjksYD+P2ZdVeUUr211tvTo0Ei04rzeqa1DldKXQHKAcWBM2nZMJGpNDXdzJRS24CeWuvr6dIi8dJQStkBPUyLll925Polki2e8yuKXL9EoiilPgRcMYZHeQN1MYI3kyyKyfVLADKEKq1kN90/jOP5qPU5Ur8pIhOaAzTBCOJkAcoDM4CiwHqlVMX0a5rIhOR6JlJTMPAFUBXIabpF5c1pCGyW4cYiASYBXsA6rfU/Fuvl+iVSQlznl1y/RFJ9iJFWYxhG8GYD0Exrfd+ijFy/BCABnIxCme4lP4BINK31eNM47Xta62Ct9UlTQuzvAWeMTPZCpBW5nokk01r7aK3HaK0Pa60DTLcdGL1U9wElgH7p20qRkSmlhgAfYMz22T2xm5vu5folYhXf+SXXL5FUWmsPrbXC+DH2NYxeNEeUUlUSUY1cv6yEBHDSRlRENHscz2d7ppwQKSEqwV79dG2FyGzkeibSnNY6HGPaXpBrmoiDUmogMAU4DTTSWvs9U0SuXyLJEnB+xUquXyKhTD/GrsII+rkB8y2eluuXACSAk1bOme5LxfF8VIbxuHLkCJEUPqZ76a4rUlKc1zNTXoBiGEkdL6dlo4RViOpKLtc08Ryl1DBgOnAS48v13ViKyfVLJEkCz6/4yPVLJJjW+hpGoLCcUsrdtFquXwKQAE5a2Wq6b6aUivE3V0plBeoAT4C9ad0wkanVMt3LhVykpC2m+xaxPFcfcAF2ywwIIhXUNN3LNU3EoJT6BJgMHMX4cu0TR1G5folES8T5FR+5fonEym+6j5pRVq5fApAATprQWl8CNmIklR34zNPjMaLx87XWQWncNPGSU0qVU0rlimV9EYxfigAWpG2rRCa3HPAFuiilvKNWKqWcgAmmxZ/To2Hi5aeUqqGUcohlfWPgfdOiXNOEmVJqNEZS2UNAE621bzzF5folEiUx55dcv0RiKKXKKKU8Yllvo5SaCOTBCMj4m56S65cAQGkteY7SglLKE9iN8WZcjTG9Ww2gEcbQqdpa6wfp10LxMlJKjQNGYPTyugI8BjyB1oATsA7ooLUOTa82ioxPKdUeaG9a9ACaY/xKuNO0zldr/eEz5ZcDIcASwA9ohzHF5XKgs5Z/LsIkMeeXaardcsA24Kbp+QpAY9Pj0VrrqA+qwsoppXoCczF+oZ5G7Lkfrmqt51ps0x65fokESOz5JdcvkRimYXnfAjuAS8ADIC/GzGXFgbsYQcPTFtu0R65fVk8COGlIKVUI+Byj65sbcAf4Exif0ERoQlhSSjUA3gUqEz2NeABGN9/fgd/lQi5exBQIHBtPkWta66LPbFMH+BRjqJ4TcBGYDUzVWkc8V4OwWok5v5RSfYEOGFP0ugP2wD1gDzBda70zrkqE9UnAuQWwXWvd8Jnt5PolXiix55dcv0RiKKW8gAEYqTQKYkz/HYTxw/5ajOvRc98P5folJIAjhBBCCCGEEEIIkcFJDhwhhBBCCCGEEEKIDE4COEIIIYQQQgghhBAZnARwhBBCCCGEEEIIITI4CeAIIYQQQgghhBBCZHASwBFCCCGEEEIIIYTI4CSAI4QQQgghhBBCCJHBSQBHCCGEEEIIIYQQIoOTAI4QQgghhBBCCCFEBicBHCGEEEIIIYQQQogMTgI4QgghhBBCCCGEEBmcBHCEEEIIIYQQQgghMjgJ4AghhBBCCCGEEEJkcBLAEUIIIcRLQSnVSymllVK90rstiaGUyqWU8lNK/fjM+rmm11M0nZqWapRSLkqpu0qp39O7LUIIIURmIQEcIYQQQqQ5U+AiMbde6d3mZPgccAa+TO+GvIhSqqjp7z03OfVorYOBr4A3lVLVU6RxQgghhJWzS+8GCCGEEMIqjY9l3TAgOzAFCHjmuaPAFWAvcCcV25WilFKFgXeAOVrrW+ndnjQ2AxgLTACapXNbhBBCiJeeBHCEEEIIkea01uOeXWfqZZMd+EFrfTWOTR+mXqtSxTsYn7fmpnM70pzWOkQptRR4RylVUmt9Ib3bJIQQQrzMZAiVEEIIIV4KceXAUUpdNd1clVKTlVI3lFJPlFJHlVLtTWXslFKjlFIXlFIhSqlLSqlB8eyruVJqnVLKVyn11FT+W6VUjkS0VwG9gRta693xFLVRSg1XSp01te2m6XVki6Pegkqp6Uqpy6a2PVBK/aWUqhZL2fxKqTFKqV2mnDShSqnbSqlFSqmyz5Qdh9HLCaBnbEPYlKGnUmq3Uuq+qb03lFL/KKXeiKW5SwAF9HnR30sIIYQQ8ZMeOEIIIYTIDOyBf4FcwGrAAegKrFBKNQPeA2oA64GnQCdgmlLqvtZ6qWVFSqkxGEO8/IC/AR+gAvAh0EopVUtr/SgBbSoH5MMIYsRnMlAfWGZqe3OM4WT1lFJ1tdYhFm2rAmw0vc5/gJWAO9Ae+E8p1UFrvc6i7vrACGArsAIIBEoCrwPtlFJ1tNbHTGW3ATmAocAx4E+Leo6a7icCIzECPcswekTlA6ph/E1j/C2B/UAY0NS0nRBCCCGSSAI4QgghhMgM8gOHgYZa66cAphmQdgB/AJcAL611gOm574GzGMENc9BBKdUII3izB2gVVd70XC9gjun59xPQprqm+4MvKFcHqKS1vmbaz0hTm18DPgK+MK23wwiauAKNtNbbLdqWHzgAzFJKFY36GwBbgLxa68eWO1RKVQR2AZOAlgBa621KqasYAZyjsQ1zwxgSdgvjbxn8TJ3uzxbWWj9RSp0CKiulsj7bDiGEEEIknAyhEkIIIURmMcwicIHWeidGT5GcwCeWwRit9WWMAEZ5pZStRR1DTPdvW5Y3bTMXoyfKmwlsT2HT/YuSLk+JCt6Y9hOJEbiJJObQo9aAJzDNMnhj2uY28A3gATSxWO8TW9DE1OtmC9BIKWWfwNcTJQyIiKVO3zjK38X4zFkgkfsRQgghhAXpgSOEEEKIzCBAa30plvW3gWLAoVieuwXYYgQ9omaIqoURoOiklOoUyzYOQG6llJvW+sEL2uRmuvd/Qbntz67QWl9WSt0AiiqlcpiCSbVMTxcx5at5VknTfVnAPIxKKdUaeBfwxhhu9eznP3cSPrPXQmAwcEop9Yep7Xu01vEll/az2I8QQgghkkgCOEIIIYTIDOIKIIQDxBFgCDfdW/ZAccP4fDT2BftzBV4UwHliund6Qbl7cay/CxTBmJkrgOiAUGyBpWfbBoBSagjGtOz+GDmCrgPBgMbIm1MRcHxBfZbexxiO1gdj+NkIIFwptQ74QGt9MZZtnE33T2J5TgghhBAJJAEcIYQQQohoDwEbrXWuFKjLx3TvFm8pyAuci2W9h0WbLO9f1Vr/9aKdm3LmjMcIBFXRWt955vlasW4YD611BEZAaIpSKg9Gnp8uGEGlckqpcpbD2EyiXr8PQgghhEgyyYEjhBBCCBFtL5BTKVUuBeo6brov84JyDZ5doZQqDhQCrlrk4tlruq+XwP27Y8wqtTuW4I0rUCWWbaJy29jG8lwMpvw6K7XWnTHy6XgCXrEULY3RW+lmAtsthBBCiFhIAEcIIYQQItpk0/2vppmdYlBKZVFK1UxgXTsxAiIvKj9UKVXEYh82wLcYn9PmWJRbjTF8aaBSqlVsFSmlaimlXEyLPhjDpaqaAjZRZewxetHElpPGH2N4VeFnn1BKOSqlmiil1DPr7TGmNce0P8vnimH0MNqmtdaxtVkIIYQQCSNDqIQQQgghTLTWm5VSI4CvgAum3C5XMPLKFMHoLfMf0CIBdT1USm0GGiqlcmqt40pmvAs4qpRaijFMqjlGbppDGDNLRdUXppR6DfgHWKuU2o0xK1YwRm+dakBxIB8QrLWOVEpNxchTc0IptRojCXMjjIDLVtNjyzYHKqX2AfWUUguB8xhBqL8w8udsAq6aylzDyO/TFCNx8l9a6zPPvLZmpvsVL/p7CSGEECJ+EsARQgghhLCgtf5aKbULY0rxusCrGIGVW8BMYFEiqvsJI4jRBfg5jjLvAx2At4GiGMONpgBjtNYhz7TtuFKqIjAcaAP0xphu/A5wBCP5suV03qOB+0A/4B3T6/gX+AwjP05sumP0RGoBdAUUxvCnM8AnGEGf2hhJkB9j9AoaAMyOpa6epv1LAEcIIYRIJiW9WYUQQgghUodSyhY4AYQCla1pGJFSqgJwDBittZ6Q3u0RQgghXnYSwBFCCCGESEWmfDVrgde11lbTE0Up9SdQFSiltZYpxIUQQohkkiTGQgghhBCpSGu9DhiKkS/GKpgSKR8BukvwRgghhEgZ0gNHCCGEEEIIIYQQIoOTHjhCCCGEEEIIIYQQGZwEcIQQQgghhBBCCCEyOAngCCGEEEIIIYQQQmRwEsARQgghhBBCCCGEyOAkgCOEEEIIIYQQQgiRwUkARwghhBBCCCGEECKDkwCOEEIIIYQQQgghRAYnARwhhBBCCCGEEEKIDE4COEIIIYQQQgghhBAZnARwhBBCCCGEEEIIITI4CeAIIYQQQgghhBBCZHASwBFCCCGEEEIIIYTI4CSAI4QQQgghhBBCCJHB/T/R/M1NdvdqxwAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 207,
"width": 568
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ylim = [25, 200]\n",
"fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n",
"plt.title('Dependency on window length')\n",
"\n",
"para_dict = {}\n",
"para_dict[0] = [2, 'k']\n",
"para_dict[1] = [4, 'b']\n",
"para_dict[2] = [6, 'g']\n",
"para_dict[3] = [8, 'c']\n",
"\n",
"for n in para_dict:\n",
" win_len_beat, color = para_dict[n]\n",
" label='Length: %d beats' % win_len_beat\n",
" f_tempo, t_beat = compute_tempo_curve(score, x, win_len_beat=win_len_beat)\n",
" plot_tempo_curve(f_tempo, t_beat, ax=ax, color=color, label=label,\n",
" logscale=True, ylim=ylim, measure_pos=measure_pos_beat)\n",
" \n",
"ax.legend(loc='upper right')\n",
"ax.set_yticks([], minor=True)\n",
"yticks = np.array([25, 30, 40, 50, 60, 80, 100, 120, 160, 200])\n",
"ax.set_yticks(yticks)\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Parameter: Step-Size Condition\n",
"\n",
"The quality of the warping path is decisive for the further calculation of the tempo curve. Besides the input representation (in our case, chroma-based features), the DTW results depends on parameters such as the local cost measure and the step size condition. In the following experiment, we demonstrate the effect of using different step size sets on the final tempo curve. The results have to be taken with caution, since some of the resulting warping paths show local deviations that lead to significant outliers in the tempo curves."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:33.767082Z",
"iopub.status.busy": "2024-02-15T08:50:33.766879Z",
"iopub.status.idle": "2024-02-15T08:50:34.214439Z",
"shell.execute_reply": "2024-02-15T08:50:34.213436Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 207,
"width": 568
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ylim = [25, 120]\n",
"fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n",
"plt.title('Dependency on step size condition')\n",
"\n",
"para_dict = {}\n",
"para_dict[0] = [np.array([[2, 1], [1, 2], [1, 0], [0, 1], [1, 1]]), 'k']\n",
"para_dict[1] = [np.array([[1, 0], [0, 1], [1, 1]]), 'b']\n",
"para_dict[3] = [np.array([[1, 3], [3, 1], [2, 1], [1, 2], [0, 1], [1, 1], [1, 1]]), 'g']\n",
"\n",
"for n in para_dict:\n",
" sigma, color = para_dict[n]\n",
" label = ''.join(str(s) for s in sigma)\n",
" f_tempo, t_beat = compute_tempo_curve(score, x, sigma=sigma)\n",
" plot_tempo_curve(f_tempo, t_beat, ax=ax, color=color, label=label,\n",
" logscale=True, ylim=ylim, measure_pos=measure_pos_beat)\n",
" \n",
"ax.legend(loc='upper right')\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dependency: Feature Resolution\n",
"\n",
"In the previous computations, we used a sampling rate of `Fs_beat=10` for the beat-based reference axis of the score representation. This simulates a constant tempo of $60~\\mathrm{BPM}$ when assuming an audio feature rate of $10$ frames per second. Similarly, using `Fs_beat=20` simulates a constant tempo of $30~\\mathrm{BPM}$. Changing `Fs_beat` (while fixing the feature rate for the audio representation) may result in substantial differences in the warping path and the derived tempo curve. This dependency is illustrated by the next code cell."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:34.217144Z",
"iopub.status.busy": "2024-02-15T08:50:34.216944Z",
"iopub.status.idle": "2024-02-15T08:50:34.781317Z",
"shell.execute_reply": "2024-02-15T08:50:34.780711Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 207,
"width": 568
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ylim = [20, 120]\n",
"fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n",
"plt.title('Dependency on feature resolutions')\n",
"\n",
"para_dict = {}\n",
"para_dict[0] = [10, 2205, 'k']\n",
"para_dict[1] = [20, 2205, 'b']\n",
"para_dict[2] = [25, 882, 'g']\n",
"\n",
"for n in para_dict:\n",
" Fs_beat, H, color = para_dict[n]\n",
" label='Fs_beat = %d, Fs_X = %.1f' % (Fs_beat, Fs/H)\n",
" f_tempo, t_beat = compute_tempo_curve(score, x, Fs_beat=Fs_beat, H=H)\n",
" plot_tempo_curve(f_tempo, t_beat, ax=ax, color=color, label=label,\n",
" logscale=True, ylim=ylim, measure_pos=measure_pos_beat)\n",
"ax.legend(loc='upper right')\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Chromagram: Audio Recordings\n",
"\n",
"In the following experiments, we use four different recordings of the beginning (8 measures, 33 beats) of Robert Schumann's Träumerei. The recordings were obtained from IMSLP, provided under different Creative Commons licenses. The first three recordings are piano performances, whereas the last performance is an arrangement for cello and piano. \n",
"\n",
"
\n",
"\n",
"Note that the Colliard/Ligoratti recording is [transposed](../C3/C3S1_TranspositionTuning.html) by a forth (five semitones upwards) compared to the other version. We compensate for this transposition by [cylically shifting the chromagram](../C3/C3S1_TranspositionTuning.html)."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"execution": {
"iopub.execute_input": "2024-02-15T08:50:34.784247Z",
"iopub.status.busy": "2024-02-15T08:50:34.784041Z",
"iopub.status.idle": "2024-02-15T08:50:35.179561Z",
"shell.execute_reply": "2024-02-15T08:50:35.179012Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
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]
},
{
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"## Further Notes\n",
"\n",
"In this notebook, we discussed how to derive tempo curves from audio recordings using music synchronization techniques, where the actual performance is compared with some score-like reference representation of the underlying musical piece. We have seen that the overall approach involves many design choices and parameter settings: \n",
"\n",
"* Feature representation (e.g., chroma features, feature resolution)\n",
"* Alignment procedure (e.g., DTW with specific parameter settings)\n",
"* Derivation of tempo information (e.g., differentiation, smoothing technique, filter length)\n",
"* Interpretation of tempo values (e.g., centered view, causal view, logarithmic axis)\n",
"\n",
"Using a simple chroma-based DTW approach may lead to overall meaningful alignment results (on a coarse temporal level); however, local temporal inaccuracies and deviations may have a substantial impact on the resulting tempo curves. As a result, the above tempo curves of the four recordings may indicate overall tempo trends, but the results need to be handled with caution. For a detailed discussion on how the tempo curves depend on the size of the analysis window and on the presence of synchronization inaccuracies, we refer to the article Towards Automated Extraction of Tempo Parameters from Expressive Music Recordings. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"