{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# This is always required for inline plot rendering in IPython Notebooks; might\n", "# as well do it first, even before the markdown sections, just to be safe\n", "%matplotlib inline\n", "#%matplotlib notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# SqDist Algorithm - Contents:\n", "\n", "- [Theoretical Basis](#Theoretical-Basis)\n", " - [Motivation](#Motivation)\n", " - [Simple Exponential Smoothing](#Simple-Exponential-Smoothing)\n", " - [Holt's Linear Trend Forecast](#Holt's-Linear-Trend-Forecast)\n", " - [Holt-Winters Seasonal Forecast](#Holt-Winters-Seasonal-Forecast)\n", " - [Prediction Intervals](#Prediction-Intervals)\n", " - [Spike Detection and Adaptive Baselines](#Spike-Detection-and-Adaptive-Baselines)\n", "- [Putting it All Together](#Putting-it-All-Together)\n", " - [Source Code](#Source-Code)\n", " - [Interface](#Interface)\n", "- [Functional Tests](#Functional-Tests)\n", " - [Imports](#Imports)\n", " - [Test Configuration](#Test-Configuration)\n", " - [Test 1](#Test-1) | [Test 2](#Test-2) | [Test 3](#Test-3) | [Test 4](#Test-4) | [Test 5](#Test-5) \n", "- [Synthetic Data Demonstration](#Synthetic-Data-Demonstration)\n", " - [Construct synthetic time series](#Construct-synthetic-time-series)\n", " - [Apply SqDist Algorithm](#Apply-SqDist-Algorithm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# [Theoretical Basis](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Motivation](#SqDist-Algorithm---Contents:)\n", "\n", "Exponential smoothing of time series has been employed in countless research, engineering, economic, sociological, political, etc., applications. While its utility has been empirically demonstrated time and again over the last half century or more, it has only been in the last couple decades that it has normalized in form, stood up to rigorous mathematical scrutiny, and been tied directly to well-known statistical time series models. A major contributor to this recent maturation of this subdiscipline of applied mathematics is R. J. Hyndman. We largely follow notation used in his free Online textbook (http://www.otexts.org/fpp), and related literature, to provide a very brief overview of exponential smoothing that culminates in an algorithm that can be used to decompose a time series into a trend, a repeating “seasonal” pattern, and a residual." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Simple Exponential Smooting](#SqDist-Algorithm---Contents:)\n", "\n", "Exponential smoothing is a form of causal time series filtering; a way to estimate the most likely observation at time $t+1$, given observations up to time $t$. In its simplest form, it is a weighted average of the most recent observation, and the previous weighted average: \n", "\n", " (1)         \n", " $\\hat{y}_{t+1|t}=\\alpha y + \\left(1-\\alpha\\right)\\hat{y}_{t|t-1}$\n", "\n", "where\n", "\n", "$\n", "\\begin{array}{rcl}\n", "y_t & \\text{is} & \\text{observation at time } t \\\\\n", "\\hat{y}_t & \\text{is} & \\text{predicted observation at time } t \\\\\n", "\\alpha & \\text{is} & \\text{forgetting factor between 0 and 1} \\\\ \n", "\\end{array}\n", "$\n", "\n", "Equation [(1)](#eq01) is a recursive formulation, which is preferred for algorithmic implementation, but if expanded into an infinite series, it becomes clear why we refer to this as “exponential” smoothing:\n", "\n", "\n", " (2)         \n", " $\\displaystyle\n", " \\hat{y}_{t+1|t}=\\alpha y_t + \\alpha \\left(1 - \\alpha \\right)y_{t-1} +\n", " \\alpha \\left(1 - \\alpha \\right)^2 y_{t-2} +\n", " \\alpha \\left(1 - \\alpha \\right)^3 y_{t-3} + \\ldots\n", " $\n", "\n", "\n", "While $\\alpha$ is constant, the term $\\left(1-\\alpha\\right)$ changes exponentially for older and older observations. Since this term is by definition less than one, older observations are weighted exponentially less than newer observations. As $\\alpha$ approaches unity, the memory of the algorithm disappears.\n", "\n", "An alternative, but equivalent formulation decomposes [(1)](#eq01) into two steps:\n", "\n", "(3)         \n", " $\n", " \\begin{array}{r@{}l}\n", " \\hat{y}_{t+1|t} & = & l_t \\\\\n", " l_t & = & \\alpha y_t + \\left(1-\\alpha\\right)l_{t-1}\n", " \\end{array}\n", " $\n", "\n", "where\n", "\n", "$\n", "\\begin{array}{rcl}\n", "l_t & \\text{is} & \\text{level, or instantaneous baseline at time } t\n", "\\end{array}\n", "$\n", "\n", "By rearranging [(3)](#eq03), we obtain the so-called error-equation formulation:\n", "\n", "(4)         \n", " $\n", " \\begin{array}{r@{}l}\n", " \\hat{y}_{t+1|t} & = & l_t \\\\\n", " l_t & = & l_{t-1} + \\alpha\\left(y_t - l_{t-1}\\right) \\\\\n", " l_t & = & l_{t-1} + \\alpha e_t\n", " \\end{array}\n", " $\n", "\n", "where\n", "\n", "$\n", "\\begin{array}{rcl}\n", "e_t & \\text{is} & \\text{1-step prediction error for time } t \\text{, or } y_t - \\hat{y}_{t|t-1}\n", "\\end{array}\n", "$\n", "\n", "The value of this formulation will become clearer when we present a numerical algorithm that includes not only simple exponential smoothing, but additional terms to model trend and seasonal variation in order to better match realistic observations. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Holt's Linear Trend Forecast](#SqDist-Algorithm---Contents:)\n", "\n", "Equation [(3)](#eq03) can be augmented to include a linear trend:\n", "\n", "(5)         \n", " $\n", " \\begin{array}{r@{}l}\n", " \\hat{y}_{t+h|t} & = & l_t + h b_t \\\\\n", " l_t & = & \\alpha y_t + \\left(1-\\alpha\\right)\\left(l_{t-1}+b_{t-1}\\right) \\\\\n", " b_t & = & \\beta^*\\left(l_t-l_{t-1}\\right) + \n", " \\left(1-\\beta^*\\right)b_{t-1}\n", " \\end{array}\n", " $\n", "\n", "where\n", "\n", "$\n", "\\begin{array}{rcl}\n", "h & \\text{is} & \\text{forecast horizon } \\\\\n", "b_t & \\text{is} & \\text{slope at time } t \\\\\n", "\\beta^* & \\text{is} & \\text{slope forgetting factor between 0 and 1}\n", "\\end{array}\n", "$\n", "\n", "In words, a forecast is the level plus a slope multiplied by the number of discrete time steps. The level is still a weighted average of the observation at time $t$, and the 1-step prediction from time $t-1$ to $t$. The slope itself is the exponentially smoothed 1-step difference in the baseline from time $t-1$ to time $t$.\n", "Just like with simple exponential smoothing, there is an error-correction formulation:\n", "\n", "(6)         \n", " $\n", " \\begin{array}{r@{}l}\n", " \\hat{y}_{t+h|t} & = & l_t + h b_t \\\\\n", " l_t & = & l_{t-1} + b_{t-1} + \\alpha e_t \\\\\n", " b_t & = & b_{t-1} + \\alpha \\beta^* e_t\n", " \\end{array}\n", " $\n", "\n", "A naïve implementation of Holt’s linear trend method tends to over-forecast, especially for larger forecast horizons $h$. One way to address this is to dampen the trend, or in other words, force the slope toward zero for larger forecast horizons. A minor tweak to [(5)](#eq05) gives:\n", "\n", "\n", "(7)         \n", " $\n", " \\begin{array}{r@{}l}\n", " \\hat{y}_{t+h|t} & = & l_t + \\left(\\phi+\\phi^2+\\ldots+\\phi^h\\right) b_t \\\\\n", " l_t & = & \\alpha y_t + \\left(1-\\alpha\\right)\\left(l_{t-1}+\\phi b_{t-1}\\right) \\\\\n", " b_t & = & \\beta^*\\left(l_t-l_{t-1}\\right) + \n", " \\left(1-\\beta^*\\right)\\phi b_{t-1}\n", " \\end{array}\n", " $\n", "\n", "where\n", "\n", "$\n", "\\begin{array}{rcl}\n", "\\phi & \\text{is} & \\text{dampening factor between 0 and 1} \n", "\\end{array}\n", "$\n", "\n", "if $\\phi=1$, [(7)](#eq07) is identical to the traditional Holt linear method; if $\\phi=0$, [(7)](#eq07) is identical to simple exponential smoothing. As before, rearranging terms leads to an error-corretion formulation:\n", "\n", "\n", "(8)         \n", " $\\displaystyle\n", " \\begin{array}{r@{}l}\n", " \\hat{y}_{t+h|t} & = & l_t + \\left(\\phi+\\phi^2+\\ldots+\\phi^h\\right) b_t \\\\\n", " l_t & = & l_{t-1} + \\phi b_{t-1} + \\alpha e_t \\\\\n", " b_t & = & \\phi b_{t-1} + \\alpha \\beta^* e_t\n", " \\end{array}\n", " $\n", "\n", "\n", "While we do not anticipate a need to forecast far into the future, data gaps are likely to occur, some of which may be long enough that if a constant slope is used to extrapolate across the gap, the algorithm may become unstable as the forecast increases/decreases without bound.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Holt-Winters Seasonal Forecast](#SqDist-Algorithm---Contents:)\n", "\n", "Finally, it is common for time series to exhibit a repeating pattern over a fixed interval. Seasonal variations are among the most familiar form of repetition, but a “seasonal” correction can be applied at any interval, even a 24-hour day. Holt and his student Winters share credit for formalizing a powerful seasonal correction tool that has stood the tests of time, and is still used frequently today. Augmenting Equation [(5)](#eq05) gives:\n", "\n", "\n", "(9)         \n", " $\\displaystyle\n", " \\begin{array}{r@{}l}\n", " \\hat{y}_{t+h|t} & = & l_t + h b_t + s_{t-m+h_m^+} \\\\\n", " l_t & = & \\alpha \\left(y_t-s_{t-m}\\right) + \n", " \\left(1-\\alpha\\right)\\left(l_{t-1}+b_{t-1}\\right) \\\\\n", " b_t & = & \\beta^*\\left(l_t-l_{t-1}\\right) + \n", " \\left(1-\\beta^*\\right)b_{t-1} \\\\\n", " s_t & = & \\gamma^* \\left(1-\\alpha\\right)\n", " \\left(y_t-l_{t-1}-b_{t-1}\\right) +\n", " \\left(1-\\gamma^*\\left(1-\\alpha\\right)\\right)s_{t-m}\n", " \\end{array}\n", " $\n", "\n", "where\n", "\n", "\n", "\n", "$\n", "\\begin{array}{rcl}\n", "m & \\text{is} & \\text{number of discrete time steps within repeating interval } \\\\\n", "h_m^+ & \\text{is} & \\text{modulo of } (h-1) \\text{ with } m\n", " \\text{ (i.e., } [(h-1)\\mod{m}]+1 \\text{)} \\\\\n", "s_t & \\text{is} & \\text{seasonal correction for time } t \\\\\n", "\\gamma^* & \\text{is} & \\text{seasonal correction forgetting factor between 0 and 1}\n", "\\end{array}\n", "$\n", "\n", "\n", "In words, the appropriate seasonal correction is added to an $h$-step prediction. The seasonal correction for time $t$ is removed from the current observation before updating the level for time $t$, and the slope is updated using these seasonally corrected levels. Finally, the seasonal correction is updated using yet another exponential smoothing parameter, $\\gamma^*$. Rearranging terms, and including a trend dampening factor, leads to the error-correction formulation that will ultimately be implemented algorithmically:\n", "\n", "\n", "(10)         \n", " $\n", " \\begin{array}{r@{}l}\n", " \\hat{y}_{t+h|t} & = & l_t + \\left(\\phi+\\phi^2+\\ldots+\\phi^h\\right) b_t + s_{t-m+h_m^+}\\\\\n", " l_t & = & l_{t-1} + \\phi b_{t-1} + \\alpha e_t \\\\\n", " b_t & = & \\phi b_{t-1} + \\alpha \\beta^* e_t \\\\\n", " s_t & = & s_{t-m} + \\gamma^*\\left(1-\\alpha\\right)e_t\n", " \\end{array}\n", " $\n", "\n", "\n", "A very astute and careful reader may have noticed that the 1-step prediction error will be the same if an arbitrary offset is added to the level and subtracted from the seasonal correction. This means that, while the final predictions will not be impacted, the separation of level from seasonal component is not unique, and may lead to equal/opposite drifts in both that are not desirable. This can be mitigated by assuming that the sum of seasonal corrections is zero over a repeating interval. To enforce this, a re-leveling adjustment can be calculated at each time step, added to the level, and subtracted from the seasonal correction:\n", "\n", "\n", "(11)         \n", " $\n", " \\displaystyle\n", " r_t = \\frac{\\gamma^*\\left(1-\\alpha\\right)}{m}e_t\n", " $\n", "\n", "Note that this adjustment can be applied with each iteration, or simply accumulated over all iterations, then applied at the end to obtain the same result. The latter may prove to be more efficient for certain interpreted programming languages that are known for slow loops, but which have vector-optimized functions for relatively simple mathematical operations.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Prediction Intervals](#SqDist-Algorithm---Contents:)\n", "\n", "Every forecast has an associated prediction error, or residual, $e_t$. Assuming a real measurement is available for time $t-1$ before time $t$, this residual allows forecasts to be made using the error-correction formulations described above. This formulation is convenient for causally smoothing a time series, but it also allows simulation beyond 1 step if $e_t$ is treated as a statistical value with its own distribution. By performing many simulations, each using $e_t$ drawn randomly from its distribution, so-called prediction intervals (PIs) can be constructed for any number of steps into the future. Useful percentiles can then be estimated from these PIs, providing a measure of confidence in the point forecast (i.e., the forecast that assumes $e_t = 0$).\n", "\n", "Any number of distributions for $e_t$ may be assumed. The most accurate might simply be to store every $e_t$, then draw a random sample from this distribution during a simulation. Such “bootstrapping” is not especially convenient in real-time processing, and drawing from a distribution that is not adequately populated can be problematic. For the formulations presented above however, analytic expressions exist if $e_t$ is assumed to be normally and independently distributed with a known variance $\\sigma^2$. For the damped Holt-Winters forecast given by [(10)](#eq10), the variance of the PI h steps into the future is:\n", "\n", "\n", "(12)         \n", " $\n", " \\begin{array}{r@{}l}\n", " v_h & = & \\sigma^2\\left(1+\\sum_\\limits{j=1}^{h-1}c_j^2\\right) \\\\\n", " c_j & = & \\alpha\\left(1+\\phi_{j-1}\\beta^*\\right) + \n", " \\gamma^*\\left(1-\\alpha\\right)d_{j,m}\n", " \\end{array}\n", " $\n", "\n", "where\n", "\n", "$\n", "\\begin{array}{rcl}\n", "\\phi_{j-1} & \\text{is} & 1+\\phi+\\ldots+\\phi^{j-1} \\\\\n", "d_{j,m} & \\text{is} & \\text{1 if } j\\bmod{m} \\text{ equals 0, otherwise 0; in words, bump } c_j \\\\\n", " & & \\text{ each time seasonal corrections are recycled after } h \\\\\n", " & & \\text{ grows longer than the number of seasons}\n", "\\end{array}\n", "$\n", "\n", "Here it is assumed that $\\sigma^2$ is known, which may not be the case. Since the variance is nothing more than the standard deviation squared, and the standard deviation may be thought of as a magnitude of an expected residual, one way to estimate and track this is using simple exponential smoothing. All that is required is to define a forgetting factor for the expected residual magnitude:\n", "\n", "\n", "(13)         \n", " $\n", " \\sigma_t = \\left(1-\\alpha\\right)\\sigma_{t-1} + \\alpha\\left|e_t\\right|\n", " $\n", "\n", "where\n", "\n", "$\n", "\\begin{array}{rcl}\n", "\\alpha & \\text{is} & \\text{magnitude of expected residual forgetting factor} \\\\\n", " & & \\text{(may be identical to baseline forgetting factor)} \\\\\n", "\\left|e_t\\right| & \\text{is} & \\text{magnitude of residual}\n", "\\end{array}\n", "$\n", "\n", "In practice, $\\sigma$, and therefore $\\sigma^2$, should update via [(13)](#eq13) when 1-step prediction errors are available, and using [(12)](#eq12) for any forecast beyond 1-step. Note that [(13)](#eq13) is not an error-correction formulation, since $\\left|e_t\\right|$ is a random variable to be predicted, and linearly independent of the actual 1-step prediction error. It is possible to rearrange Equation [(13)](#eq13) into an error-correction formulation, but the notation might be confusing.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Spike Detection and Adaptive Baselines](#SqDist-Algorithm---Contents:)\n", "\n", "Imagine a threshold residual is defined as a multiple of the standard deviation. Any $e_t$ with an absolute value exceeding this threshold is treated as a bad data point. If this bad data point is treated as a gap (i.e., forecast is made, but level, slope, and seasonal correction parameters are not updated), $\\sigma^2$ will grow with the prediction interval simply due to the dynamical nature of the prediction equations. If the threshold residual is exceeded repeatedly, eventually the standard deviation will grow large enough that $e_t$ no longer exceeds the threshold residual, and the sequence of observations previously treated as bad data will once again be used to update the level, slope, and seasonal correction parameters. In effect, a large DC shift in observed data, while initially treated as bad data, will eventually be recognized as a new baseline, and the adaptive algorithm will converge on it according to [(10)](#eq10).\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# [Putting it All Together](#SqDist-Algorithm---Contents:)\n", "\n", "The purpose of all the preceeding mathematics is to specify a potentially time-varying baseline, and update a potentially time-varying set of seasonal corrections. In the geomagnetic time series context, these represent so-called secular variation (SV) of Earth's internal main field, and the solar-quiet (SQ) variation, or daily magnetic tides caused by quasi-stationary geospace electrical currents fixed spatially relative to the Sun. So-called magnetic disturbance (DIST) is what remains, or the $e_t$ term. We developed software to implement these mathematics, and decompose geomagnetic time series (or any time series really) into its SV, SQ, and DIST constituents." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Source Code](#SqDist-Algorithm---Contents:)\n", "\n", "The preceeding theory was implemented in Python, and integrated with the USGS' geomag-algorithms software package (https://github.com/usgs/geomag-algorithms) as a new algorithm class SqDistAlgorithm in the geomagio module (https://github.com/usgs/geomag-algorithms/blob/master/geomagio/algorithm/SqDistAlgorithm.py). This class is mostly a wrapper for the SqDistAlgorithm.additive() method, so-named because the theory presented above assumes that the seasonal corrections are independent of the baseline level, and can simply be added. The additive method can be extracted and used in a stand-alone mode, but to encourage and facilitate interaction the USGS' robust geomagnetic data ingest and analysis framework, it is recommended that the full class be used as much as feasible. For those users not interested in working directly with Python, geomag-algorithms provides a command-line tool that can perform most SqDistAlgorithm actions, and generate output data in several standard formats.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Interface](#SqDist-Algorithm---Contents:)\n", "\n", "[Reference Guide for SqDist-Algorithm class -- not sure if this section should be placed in SqDist_Usage.md file, or if SqDist_Usage.md should point to this section for more detailed descriptions of interface].\n", "\n", "***Class*** \n", "\n", "```\n", "geomagio.Algorithm.SqDistAlgorithm(m=1, alpha=None, beta=None, gamma=None, phi=1,\n", " yhat0=None, s0=None, l0=None, sigma0=None,\n", " zthresh=6, fc=0, hstep=0, statefile=None, mag=False)\n", "```\n", "\n", "***Attributes***\n", "\n", "configuration parameters\n", "```\n", "m length of SQ vector (i.e., \"seasonal\" corrections)\n", "alpha forgetting factor for SV (i.e., baseline level)\n", "beta forgetting factor for forecast slope\n", "gamma forgetting factor for SQ\n", "phi dampening factor for slope\n", "\n", "zthresh z-score threshold that determines if observation\n", " should be ignored while updating the state\n", "fc number of steps beyond last observation to forecast\n", "hstep number of steps to predict ahead of each observation\n", "\n", "statefile file in which to store state variables at end of run;\n", " used to pick up processing where it left off if\n", " Python kernel is restarted\n", "mag if True, and two horizontal vector components are in\n", " the ObsPy stream, calculate total horizontl field,\n", " and only process this field\n", "```\n", "state variables\n", "```\n", "yhat0 initial vector of hstep yhats\n", "s0 initial vector of SQ \"seasonal\" corrections\n", "l0 initial SV baseline\n", "b0 initial forecast slope\n", "sigma0 initial disturbance standard deviation\n", "last_observatory remember observatory ID\n", "last_channel remember channel ID\n", "next_starttime remember the next expected time step\n", "``` \n", "\n", "***Methods***\n", "\n", "```\n", "get_input_interval(start, end, observatory=None, channels=None) \n", " check requested start/end datetimes, observatory string, and\n", " channels string to see if they are consistent with the current \n", " state, thus allowing it to be extended into the future without \n", " re-initializing; if not, the state will be re-initialized by \n", " reading in ~3 months of data.\n", "\n", "load_state()\n", " load/initialize state from statefile\n", "\n", "save_state()\n", " save state to statefile to be re-loaded later\n", "\n", "process(stream)\n", " process ObsPy Stream, potentially with multiple traces\n", "\n", "process_one(trace)\n", " process ObsPy Trace using additive(); construct SV, SQ, and DIST,\n", " and place these in a single Stream\n", " \n", "additive(yobs, m, alpha, beta, gamma, phi=1, \n", " yhat0=None, s0=None, l0=None, b0=None, sigma0=None,\n", " zthresh=6, fc=0, hstep=0)\n", " low-level implementation of the Holt-Winters algorithm where inputs\n", " are NOT ObsPy Streams or Traces, but NumPy arrays or scalars; this\n", " is a class method, allowing it to be used without instantiating a\n", " SqDistAlgorithm object. See code for more information.\n", " \n", "estimate_parameters(yobs, m, alpha=None, beta=None, gamma=None, phi=1,\n", " yhat0=None, s0=None, l0=None, b0=None, sigma0=None, \n", " zthresh=6, fc=0, hstep=0,\n", " alpha0=0.3, beta0=0.1, gamma0=0.1)\n", " utility to estimate optimal prediction paramters alpha, beta, gamma;\n", " this is a class method, allowing it to be used without instantiating\n", " a SqDistAlgorithm object. See code for more information.\n", "\n", "add_arguments(parser)\n", " add command line arguments to argparse parser. See code for more\n", " information.\n", "\n", "configure(arguments)\n", " configure algorithm using command line arguments. See code for more\n", " information\n", "```\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# [Functional Tests](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The purpose of this section is to demonstrate that the algorithm works as expected, and to a lesser extent, demonstrate its utility with realistic usage examples. While some material here might be extracted to generate unit tests for the algorithm, these are primarily *functional* tests, and may be more complex than one might want to incorporate into an automated testing framework. Explanatory markdown, inline comments, or both, should tie different tests to the Algorithm Theoretical Basis above as much as possible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Imports](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# standard imports\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# import SqDistAlgorithm class from geomag-algorithms package\n", "from geomagio.algorithm import SqDistAlgorithm\n", "\n", "# import some mid-level classes from ObsPy to construct test data objects\n", "from obspy.core import Stream, Trace, UTCDateTime" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Test Configuration](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# define assert_almost_equal\n", "assert_almost_equal = np.testing.assert_almost_equal\n", "\n", "# configure to test zero-step predictions of 4 \"season\" cycles\n", "m=4\n", "t=np.linspace(0,2*np.pi,m+1)[:-1]\n", "hstep=0\n", "\n", "# initial slope is 0; average age is infinite\n", "b0=0\n", "beta=1/np.inf\n", "\n", "# initial trendline is 0; average age is 12 steps\n", "l0=0\n", "alpha=1/12.\n", "\n", "# initial seasonal correction is sinusoid; average age is 12 steps\n", "s0=np.sin(t)[0:4]\n", "gamma=1/12.*m\n", "\n", "# standard deviation of unit-amplitude sinusoid\n", "sigma0=[np.sqrt(0.5)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Test 1](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PASS\n" ] } ], "source": [ "# predict three cycles ahead given l0 and s0, no inputs,\n", "# and assume PI only grows with trendline adjustments\n", "\n", "# instantiate SqDistAlgorithm object\n", "SqDist_01 = SqDistAlgorithm(alpha=alpha, beta=0, gamma=0, m=m, hstep=hstep,\n", " s0=s0, l0=l0, b0=b0, sigma0=sigma0)\n", "\n", "# define input stream\n", "yobs_01 = Stream()\n", "yobs_01 += Trace(np.zeros(12) * np.nan)\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_01.process(yobs_01)\n", "\n", "# test process outputs\n", "assert_almost_equal(SvSqDistStream[0].data, \n", " [np.nan, np.nan, np.nan, np.nan, np.nan, np.nan,\n", " np.nan, np.nan, np.nan, np.nan, np.nan, np.nan])\n", "assert_almost_equal(SvSqDistStream[1].data, \n", " [0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1])\n", "assert_almost_equal(SvSqDistStream[2].data, \n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])\n", "\n", "# also test certain states within SqDist_01\n", "assert_almost_equal(SqDist_01.yhat0, [])\n", "assert_almost_equal(SqDist_01.s0, [0, 1, 0, -1])\n", "assert_almost_equal(SqDist_01.l0, 0)\n", "assert_almost_equal(SqDist_01.b0, 0)\n", "assert_almost_equal(SqDist_01.sigma0, 0.73361737)\n", "\n", "print 'PASS'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Test 2](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PASS\n" ] } ], "source": [ "# predict three cycles ahead given l0 and s0, no inputs,\n", "# and assume PI only grows with seasonal adjustments\n", "\n", "# instantiate SqDistAlgorithm object\n", "SqDist_02 = SqDistAlgorithm(alpha=0, beta=0, gamma=gamma, m=m, hstep=hstep,\n", " s0=s0, l0=l0, b0=b0, sigma0=sigma0)\n", "\n", "# define input stream\n", "yobs_02 = Stream()\n", "yobs_02 += Trace(np.zeros(12) * np.nan)\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_02.process(yobs_02)\n", "\n", "# test process outputs\n", "assert_almost_equal(SvSqDistStream[0].data, \n", " [np.nan, np.nan, np.nan, np.nan, np.nan, np.nan,\n", " np.nan, np.nan, np.nan, np.nan, np.nan, np.nan])\n", "assert_almost_equal(SvSqDistStream[1].data, \n", " [0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1])\n", "assert_almost_equal(SvSqDistStream[2].data, \n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])\n", "\n", "# also test certain states within SqDist_01\n", "assert_almost_equal(SqDist_02.yhat0, [])\n", "assert_almost_equal(SqDist_02.s0, [0, 1, 0, -1])\n", "assert_almost_equal(SqDist_02.l0, 0)\n", "assert_almost_equal(SqDist_02.b0, 0)\n", "assert_almost_equal(SqDist_02.sigma0, 0.78173596)\n", "\n", "print 'PASS'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Test 3](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PASS\n" ] } ], "source": [ "# smooth three cycles' worth of zero-value input observations,\n", "# assuming only the trendline varies\n", "\n", "# instantiate SqDistAlgorithm object\n", "SqDist_03 = SqDistAlgorithm(alpha=alpha, beta=0, gamma=0, m=m, hstep=hstep,\n", " s0=s0, l0=l0, b0=b0, sigma0=sigma0)\n", "\n", "# define input stream\n", "yobs_03 = Stream()\n", "yobs_03 += Trace(np.zeros(12))\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_03.process(yobs_03)\n", "\n", "# test process outputs\n", "assert_almost_equal(SvSqDistStream[0].data, \n", " [ 0, -1, 0.08333333, 1.07638889, -0.01331019, -1.012201,\n", " 0.07214908, 1.06613666, -0.02270806, -1.02081573, 0.06425225, 1.0588979])\n", "assert_almost_equal(SvSqDistStream[1].data, \n", " [0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1])\n", "assert_almost_equal(SvSqDistStream[2].data, \n", " [ 0, 0, -8.33333333e-02, -7.63888889e-02, \n", " 1.33101852e-02, 1.22010031e-02, -7.21490805e-02, -6.61366571e-02,\n", " 2.27080643e-02, 2.08157256e-02, -6.42522515e-02, -5.88978972e-02])\n", "\n", "# also test certain states within SqDist_01\n", "assert_almost_equal(SqDist_03.yhat0, [])\n", "assert_almost_equal(SqDist_03.s0, [0, 1, 0, -1])\n", "assert_almost_equal(SqDist_03.l0, 0.0293435942031)\n", "assert_almost_equal(SqDist_03.b0, 0)\n", "assert_almost_equal(SqDist_03.sigma0, 0.61505552)\n", "\n", "print 'PASS'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Test 4](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PASS\n" ] } ], "source": [ "# smooth three cycles' worth of zero-value input observations,\n", "# assuming only the seasonal adjustments vary\n", "\n", "# instantiate SqDistAlgorithm object\n", "SqDist_04 = SqDistAlgorithm(alpha=0, beta=0, gamma=gamma, m=m, hstep=hstep,\n", " s0=s0, l0=l0, b0=b0, sigma0=sigma0)\n", "\n", "# define input stream\n", "yobs_04 = Stream()\n", "yobs_04 += Trace(np.zeros(12))\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_04.process(yobs_04)\n", "\n", "# test process outputs\n", "assert_almost_equal(SvSqDistStream[0].data, \n", " [ 0, -1, 0, 1,\n", " 0, -6.66666667e-01, 0, 6.66666667e-01,\n", " 0, -4.44444444e-01, 0, 4.44444444e-01])\n", "assert_almost_equal(SvSqDistStream[1].data, \n", " [ 0, 1, 8.33333333e-02, -9.16666667e-01,\n", " 0, 6.66666667e-01, 5.55555556e-02, -6.11111111e-01,\n", " 0, 4.44444444e-01, 3.70370370e-02, -4.07407407e-01])\n", "assert_almost_equal(SvSqDistStream[2].data, \n", " [ 0, 0, -8.33333333e-02, -8.33333333e-02,\n", " 0, 0, -5.55555556e-02, -5.55555556e-02,\n", " 0, 0, -3.70370370e-02, -3.70370370e-02])\n", "\n", "# also test certain states within SqDist_01\n", "assert_almost_equal(SqDist_04.yhat0, [])\n", "assert_almost_equal(SqDist_04.s0, [0, 0.29629629629629639, 0, -0.29629629629629639])\n", "assert_almost_equal(SqDist_04.l0, 0)\n", "assert_almost_equal(SqDist_04.b0, 0)\n", "assert_almost_equal(SqDist_04.sigma0, 0.70710678)\n", "\n", "print 'PASS'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Test 5](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PASS\n" ] } ], "source": [ "# smooth three cycles' worth of sinusoid input observations,\n", "# assuming only the seasonal adjustments vary, starting at zero\n", "\n", "# instantiate SqDistAlgorithm object\n", "SqDist_05 = SqDistAlgorithm(alpha=0, beta=0, gamma=gamma, m=m, hstep=hstep,\n", " s0=s0*0, l0=l0, b0=b0, sigma0=sigma0)\n", "\n", "# define input stream\n", "yobs_05 = Stream()\n", "yobs_05 += Trace(np.concatenate((s0,s0,s0)))\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_05.process(yobs_05)\n", "\n", "# test process outputs\n", "assert_almost_equal(SvSqDistStream[0].data, \n", " [ 0, 1, 0, -1,\n", " 0, 6.66666667e-01, 0, -6.66666667e-01,\n", " 0, 4.44444444e-01, 0, -4.44444444e-01])\n", "assert_almost_equal(SvSqDistStream[1].data, \n", " [ 0, 0, -8.33333333e-02, -8.33333333e-02,\n", " 0, 3.33333333e-01, -5.55555556e-02, -3.88888889e-01,\n", " 0, 5.55555556e-01, -3.70370370e-02, -5.92592593e-01])\n", "assert_almost_equal(SvSqDistStream[2].data, \n", " [ 0, 0, 8.33333333e-02, 8.33333333e-02,\n", " 0, 0, 5.55555556e-02, 5.55555556e-02,\n", " 0, 0, 3.70370370e-02, 3.70370370e-02])\n", "\n", "# also test certain states within SqDist_01\n", "assert_almost_equal(SqDist_05.yhat0, [])\n", "assert_almost_equal(SqDist_05.s0, [0, 0.70370370370370372, 0, -0.70370370370370372])\n", "assert_almost_equal(SqDist_05.l0, 0)\n", "assert_almost_equal(SqDist_05.b0, 0)\n", "assert_almost_equal(SqDist_05.sigma0, 0.70710678)\n", "\n", "print 'PASS'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# [Synthetic Data Demonstration](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Construct synthetic time series](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rse4RodH3HtUTIvJHxphHReRjIvI71toPzX6T1mDGGHdzS+FsbOiIIKc5tG5s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\nMEPneXDGdDVvrytK25TKGdt53cIzStuUyhnT+by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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# first 50 \"days\" at 100 samples per synthetic \"day\"\n", "t000to050 = np.arange(5001)\n", "syn000to050 = 10. * np.sin(t000to050 * (2*np.pi)/100.)\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t000to050/100., syn000to050)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ld3+TiJ6x1v6q/4Ix5mjh+3+biJ6u+mV0ef4Yc+QM0c5Ix1LHQXOFxsnRufad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\nqTsWInXe5Cpm3xmPZfaytHGOcr1Q5+5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "t050to100 = np.arange(5001,10001)\n", "syn050to100 = 20 + 10. * np.sin(t050to100 * (2*np.pi)/100.)\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t050to100/100., syn050to100)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Roa5F7euTVEodAZ0UR1cEKeI2Gk6cyB+PlBYn6m9mEyfqfJqb9UX01Knx7mah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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "t100to150 = np.arange(10001,15001)\n", "syn100to150 = 20 + 10. * np.sin(t100to150 * (2*np.pi)/100.) + 20*np.sin(t100to150 * (2*np.pi)/5000.)\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t100to150/100., syn100to150)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WRrnOdmCS6RTHRkymN40TvwfVe+IWOOPPhMlzBYzu+bYZRAYAP/85fc//8i/m\nMTw8Go3vfId+v+su8xhRUmoqdDTKvmuyT24kKTWJ00jhz6TV0gaVIaWDg+mbEm5PUaOUUtM4EmQy\naQNpet7psWP1805tlNLeXpq4BtCZbqYTST08qoCeHiKlNkppUjWY+/zFz2ED5CxKRVWVq0AmpeKY\nDEw6dUpuCGCjzimVUNmbmsw2SVL23SgpVT3fJpNEAeDJJ4Hf/33giSfMXu/h4QIbNtBRZ48/bh7j\n4ME6KTUVOpJIqcmgo3h+lBKBTIqAp07JtLaUyY1qi1xSGgTB4iAI7g2CYFMQBBuDIPjg6Z//WRAE\ne4Mg2HD6101pMdLeKCfpSm0CpEhpI5VSk+QtpZQOD1MBQH1GU6dSjJERXhxgdHVswQJPSj3GN1QR\nRlop5W6e4/YkwHxNaWQ1WMp2W2Vym9TDYxJHSimVPC4t6d6RKrZy48Q3tCbHQACjSWkQ2BVtt20D\nXvMaKmCZFI89PFxg61bg5puBzZvNXj8yQs9ItCXMhJTGc6NUT2mRSmnS+m+ybk8oUgpgGMAfhWG4\nGsA1AP4wCILzT/+3z4VhePnpX3enBZB4o2mbgKLsu5JKqUTyTlJHTJRS9cAqRbqpyfzh7+0dPXHN\nZAy4h0cVcPw4WQqnTq3f6yY91BJ9M0n2XdPEKzF9V0LFKxuZlIwj0eNapuPSgMYPTLIlpaYuoigp\nBWiDbdpXum0bHSG1fDnNX/DwKBsOHaJn7YYbaJAfZ4inwuHDlNPUSRVF2nfVaRfRNkBTB4eEiyit\nh9OE3NrOW0hrkSwdKQ3DsCsMw6dP/7kfwGYAi07/5yD1hRFIkFKpSnnZlNIkNULKvmsSJ74pBswr\nW+rAZICGQ9gMhajVfDXZo3EYGTHrv1ZQKmkQ0LCz9nazQo6EUppUoJJaU6QSLzdO2vo/HgcdScUp\nsqe0bA6gpImbJvkkPojMtK90ZIQGo61YASxa5KfTe5QTO3bQMWdTp9L60tfHjxE/jknKvmvidpA8\n5iytCMgh7mnTbotQOLNaJEtFSqMIgmAZgEsBrD/9ow8EQfB0EARfDYJgRtrrajX7I1gabZfiJvBG\nKqVSydukGpykspj230SV0tmzzRY0hT/6I1KgTGzEHh55eN/7aHKuSSUYqA85UjCdzCnRU5pm3y2K\nlEqcfVZGEphEbrn9jo3Ma0UqpY3uTS1KKY1vsE2V0gMHKM7kycDixcDevfwYHh6NRmcnzQMBqHhi\n0oJ19GjWvuH/AAAgAElEQVR9RglgLnL094/OjSY2/qTc2NpKRIzTG57k/mlpIWchN46twgnICX8S\nucgWLfn/hBAEwVQA3wfwP8Iw7A+C4EsAPhOGYRgEwf8H4HMA3pP02qam23D77fTndevWYd26dYXZ\nd7PsUkUNOkpL3mE4tmqRBqmKchIpNRmSAoxWSmfNMh8pHobAd79Ln8UjjwDXXWcWx8MjCbUa8K//\nSmvDhg3AS17Cj9HTU7/XgTopXb6cF6dR03dN7bvxNc6kYJbWN8O175ZJ4ZRK4I0k262t9Pvw8Nii\ncBqkjhZIy2vcFo5G5TWbIYDR59O0+KSGogG02fek1KOM6O6mGQlAXdFfs4YXI05KTUWOY8eSj3Kx\n3SerWCdOjC44ZSHLuXPy5FgLbBqS8lprK63ZIyN1y7PJ9bhqJbnvvvtw33336f+PcqCVqoIgaAER\n0m+FYfhDAAjDMJpe/hHAj9NeP3XqbbjtttE/k0zeEr1JXLtdUqVExbGdvtvURDd12v8jCZJKady+\na0JKw5BIqeq/sVFKe3roe3vHO2hSoSelHpJ48UXa6N58M91fJqQ0OmkasFNKowl8+nR+dVqKlCat\nP9z1bXiY1gJbp0wWCfS9qfn5Mb6mc+JwC7/qOBtFihW4BY2REbqepMKIreovRUpNVZ/u7jopXbzY\nT+D1KCe6u8mhBpjbzCWV0mhea26mtSqtlS4JaaRUrSlSpJQTJ2n6ulr/k641CY2c25MXRwmNCrcr\nBdIQuvbdrwHYFIbhF9QPgiA4K/Lf3wTgubQXS1WmJXqKGr0JkFBKAX4Cl+wplVBKjx4lYq2+MxtS\nunkzcMEFwMUXA88+axbDwyMNmzYBq1dTBXjjRrMYSb1mXFI6PEwb+ugm3GZYWRSSpJQTR1Vf45Vs\nfyRMdpwibMBhKKNqnzwp850rK3E8TtH2XSmlVG32zzrL/AgpD49GIkpKFy40myrfKFIK8C28WUqp\n1IwDCQeQBK9ROUS3JUkqp9lC50iYawH8DoAbgyB4KnL8y18HQfBsEARPA7gBwIfTYjQ6eUsppUXc\nlGmklLv5S/LKSymlJnGOHqXFR8Fm0JEipatW+SmFHvJQ99fKlcDu3WYxjhwZXR01GYCiCkLRTbhU\nX7jJRl6RiyjKNqDIDzrKjsP5voaHyaUTV7VNNlppLiKJDST3Xh4aItU1+vmo54rbQx53MkgopXPm\n0FRfD4+yoaurbt81vU8l7bvxvekZZ/DyY9qgU+6aIpmPbB1AYZi8/qse1+FhvThlIaW59t0wDB8C\nkORsTj0CJo40MjkwoO8HzyKlasyzDqRIqaRSGiVvCtyHpGw9pfFNuo1SumsXEYalS4GODrMYHh5p\n2LmTSKnN/XXkCNnwFEwUlKSka0pK1UZCwVQpbRQpHc+22yLO35ZQXCULtklxuO6fLBeRSW6M7jNa\nWugXp0UGSD4r0cTSGO0pnTvXk1KPciKqlM6eDTzzDD9G3F3Q3k5ForTckIY0pVSClBaV1yTI7dAQ\nWZmT+k9VHom3UiShLKSUNX3XFElvtKmJPihdQpmVdCU2ASZxJJTStKQoYd812dBK2nej1TEbUtrZ\nCSxYACxZQgMhTM5/9PBIg5owaEtK40qpBCk1ObpCamKpRE9p1rTzKg86KmOctGnAunlNam6DlItI\nSilN2swC5vkx+oyaHEsBjLbvzplD8xdM8eSTVNh+LrWBymMioquL7q27teWjsYiTUgmlNAjoGeLs\nKcNQRnhJW5sklVKpYqtunLQYUnG4hVZbOCGladUQiSpuUaS00ZstCauTychsqUFHaX0EJoSyq4tI\n6eTJtNn3/Tcekti/n0jprFlUdTQ5X7RRpNRk45w2NbdsSqkfdCQzxbdWI+UhqRrOyWtZ39XgoP7a\nLVWwzbLacZ4JKVJaq9E1RfMsd3Ot0N09ejL9kSPmx5390z/R+7jjDrPXe4xPfOc7tOf6ylfMY0QV\n/TlzzM8pje4FAf6e8sQJWsvirQVlU0qLyI95pFSKY5kel8dFYUopwPvA0r48KYVTarCE1E0pZd+V\n6Ecz7SmNLkQtLXQ9JlXlzs66HdGf6eYhDaXEBwHdXyZ2vDgpNTm/MG5zAsyevaTEK9VTynVwSBGU\nspHJMsUZGEg+9ByQUUqDgOLrupqy7LtcNUKi/ytNceU+W/399P9uiuyaTJXSvr76ZPqWFsqVJr2p\nAPD448BnPgM89JDZ6z3GJx59FLj9djpGz4RQ1GqjZ4NIKaUAn5T298u4Jlz0lLoedJRlg5bgWNz1\n3xaVIaWNVji5EnVWhUMijkT/jSKlnAVJ0r4bH4s9fbo5KV2wgP48bx7/rDsPjzTUanUlHjC/v8qk\nlEqR0jSltKiBEFUZdCRlS5awb0mQUm4cqQ1bUlEEkLPvcq3xSZtrU6X0yJHRsyRMLbzDwzQ9/B3v\noH4/39riofDYY8Cb30wKvIm77NgxetaUOlm0UipRWJLab0sqpY2270oprtyzqk1RKCmVSJhF9pRK\nkWQJ+27SRrS1lZqfORUOKfvukSPJCZxrjRwYoMVRVZXPPNOTUg85HDxI96V6lufNM9scxkmpyWY1\njZRy4yStBWo90S1QDQ8nnzUZPbBcB+PVdpvluJEYvMeJk7eZcE1Kpfp/pVxEUvbdtJ5vk0Lr4cOj\n1wvTYUc7dlDP36JFdG2+tcUDoPV7714aELlqFQ3z4+Lw4dGFE1Vo5RY+0kgp59mTGnqWZd8tk1Ja\nJvsuwOc1Nqg8KVWysu1ZPFJksqjEm2Z1MrEoJdl3bXtKATOlVDXaK8vUvHnU5+DhIQE15Ehh7lwZ\npXTaNP69LnUcU1LiVdNGOUQn6axJNWZ+aEgvTqN7b6SOBOPak7LiuC5uNlrhBPg2MKl+2zLZd5NI\nqaRSakJKOzqAZcvozytWmJEPj/GHvXtp39TWBixfbnaUXvzs7dZWema4wkL8GCWAL3SkkUmTntJG\nKqUS50IDcvZdqTwyYey73D6VpA++6lN8pWzAUlantGqwFCnlLmjR6W+AvVJ6xx3A//t/5q/3KBc2\nbwY++lHzISHx+0tSKeWS0qTN8+TJVPXWPWsMkOmbSVtPAB6hTKsEt7XRe9L93sq2bkvEUd9pfHgH\nN07Z7LtZ1X+p1hZOTksa/AUUp5QODdF7ixZ/TUnpvn31o6g8KfVQePFF4Oyz6c+m90VcKQXM+kql\n7LsSSmlaoasIpXRwkLhLUwIL4xRby7b+26LySqlUHKmBSUVMXwTkKklp55SaDDqK95Sa2Hf7+mgh\nVLDpKT16FHj3u6n/xpU/3qOx+OQngb/9W+CnPzV7fXTgCGCmlA4MELmKPn8mm9WkxBsEchMGOQk8\nq/rKSbxZwxO409cbbZeVmE0gZbuVjFOE4iqllEqQUqncmKT4mBSf1CY96kKYMYMKW1zs3VsnpaaK\nmMf4w+7ddQV92TL6OxdppNRkgF/8ueG67ySV0rIMOkrLaUBxbReelFaYlGZtSqpsA05SaySVUm4C\n7+sbbSGxse8+9hjw0pcCV10FPPigWQyP8mBkBPj1r4E//mPgF78wi5FU9OAqpUoljW4yTTaradVg\nybH3HFKaFEPFsSWlAC/xNnq9lVJKOfbdPLtUWRROQG5SPrfQKpEbJUlpXCmdNInWIU5hJGmzL0FK\nFy2idgQPjygpPesss17juH0XMHO7JU2VL1IpbWQ7CTc3VoEbARPIvitVDZZI4NyEKTUwQ4qUSp3p\nlvTwm/SUSg06OnRoNGmwse+uXw+sXUuk9KmnzGJ4lAfPP0/3wxveQAUHExw8OPr+MlFK49ZdgJ5f\n7mZVasKgC6WUE6cKMwWkekrLtpmQUDhNrifp3lE2ZV0rutTEZSlSmrS5DgJ+X2nSeiFBSufP94OO\nPAh79gBLltCf58+nNhUukoonXFIahvSM2Z7oUBWlVKoIKDULQOIoL+712KLwnlKJD75M/S5F2oAb\nlcCLPBImXq2zse8+8wxw2WXARRcBzz1nFsOjPNiyhb7L888Htm41O4strpTOnWuulEZhsllttFIq\n2VPqet2u0kyBqtpuXZBbrjqedB9zJzdnbWg5z2eSUgrwn/NGKaWmipjH+ENPT31WgikpPXQomZRy\n9nCnTtVPgYiiKKU0La9JHVclMRAOKNcsAG4cWxSulEp98GXZlJRNKeU+bEkPv2lPqZRSGiWls2eb\nnZUFUL/NypXAhRd6UjoesH07jbufPZueRZMNWaNIKcC38GaRUomqspRSyh0z3+jJgK7bN0ZG6FiE\npAFFkvbdqpLbvEKErQ24KPvuiRPp551ynnNJpbSri8go4EmpRx29veQiAuj3nh5+0fbwYXv7btrk\n66KUUqmJ3hKilIupub6nNAVlGuaQVp1oaaGNhu40SCmlVLKnVIKUJj38kyaR5Ur3GAhAbvpunJRO\nm0aLB2caqYLqszA9t8ujXFCkFADOO4/UUi7ipNRkc5iloEiRUt3EOzJCz0Zb29j/xrHyZ/WUShAL\nFacsCdwkRvy4HG6cslXKXRQiJHpTpey73GMgjh9Pfj65z7mELRIgknHwIBXSgLoiZuIYUfEOHzZ7\nrYcsDh3i7bfi6OkhVxlAz9AZZ/AHFEncp2nPTJFKaZr7QnedzDrKpYgBRf5IGAOUbZhDUhw1DdI2\nThFKqdqIxg+6B3ikNG1DqyaAchaRNKXU1r7b1ERxucShv59+zZ9PJGRoiL8J8CgXoqT07LOpj4aL\nOClV9iTOAeFJ54sCfAUlK4HrkkmVdJMIk9TZZxIDilQc1wd7p72vopTJ8Vgpl7LvZlnkJOy7Ei4i\ngL/Bjp9RCpgVw44epc9C5eszzqA9gGleu+02yrW+YFssDh4kdfN97zOPEVVKATMLb5p9t+pKqe1+\ne2iIRKy4JRkopmBbtvXfFoUrpWWqBkhsKDgxwlCG3GZtRKXiTJmiX5FSze3xxcikGhwnDQAtlNyK\n7osvkkoaBPRryRIzEuNRHuzYQXZsAFi4ENi/nx8jfn+1tNDmjpMwkwY5AMUopWnJG+CR0qyeUgm1\nCygXgWtupnVBx4GRdS1Vtt1ONPuuFCk1UUol7LtRlVTB1MJbqwH/9/8Cr3898M1v8l/vIYfvfx94\nxSuA736X3zYF0LMxMDC6UGpCSiXsu2nD+7gtYVlKqcS8hfGY04qKY4vKkNKyffASZ7FlHZ4r9ZBw\nEm/agw/wrE6nTtHmLF5JklBKAfo7l5Qq667C0qWelFYZIyNkUVq4kP6+aBEdJM9FUtFjxgze/dXf\nn5x4y0ZKOQqTFLGQnDBYlvXfRS4qG7ktyr6bRial7Lu2x6UBxSmlBw+OPmMZIHXMZKjN9u30Gf3h\nHwL33cd/vYcc7rsPeOtbgUsvBR55hP/63l6y7kbFhfnz+UfpJRVPyqaUci34UgOKpNa3RjtupPLI\nhLLvlinxuu5NkrK25akjug9tVhxOAk9biCR6SgFK6Nz+iP376wQG8Epp1dHTQ2RSDZsxUUrDcOw5\nuADdX5wNYn9/ulLqevpuHim1JQQqThUdLlnOFE6cquQibhzJ/l+JvJZ33qlu72TZlNKkQUcmLSkH\nDowlpXPmmA0CfOwxOi7t8svpuDRO+4KHLDZsAK64gk4KePZZ/ut7ekZbdwHKcdw9U9KshKJIadqz\nJzV7pcpKaZkKthKYkEqpbZWjViNfedIwESlPedmUUs7ZhGkLkZRSamLfjY5IB7xSWnV0dQELFtT/\nvmgRn5QeP05Ohfizw1UtskiphFLKPcpFwr7rYm1yvREYHiZXSlIvEKBfJK2SwlnGHGtLkpuaePMo\nGk1KuYpr0mZ/6lR6v5zhNkn23Tlz6OdcPPsscMklFG/mTN9XWhSOHaNjfs4/H7j4YjNSqpTSKExO\nLZAipRJ92FLPsAultKpkUops22JCklKpSrnE9EWJDZuUOnLiRLmU0qEhem/xhdGk6hevHpraPT3K\ngc7O+lEIACml3O8zSSUF+EUPqSJM2qZXyu3Ase9m9ZRyC29lWbez1ltOHFe5qEzkVnKzJdHXzO2P\nbiQp5Q5bSSpiBQH/DMgk+67pkWk7d9aHxp1/PvDCC/wYHvbYvp3mJLS00NF1mzbxY1RFKXWdGwE3\nSul4HHTEKQLaojL23TJ9gVmV4JYWmYEZUlY77oY2q6fUtVKqRpLHyb+JUtrdPXqhPvNMqiiaIAyB\nb38b2LLF7PUedI984Qt85VwhrpQuWEBElXMcQtIgB6BYpTTpuZFSSouqBjfa6qSbMLPWfs71ZMVR\ndnLd9V9iE+BC4SybA4hbYGlkTyk3Ttp6wV13pEnpihX055UrvVJaFHburA/vW7aMBjRykaSUcknp\n4CDl0vi6IjXoSOooF4kjD4FicqOkfdcFN5oQPaVlGlDEiZMVA9C/wSWVUin7bpZSqhsnK3mfPKnf\nr3L06NjeG8DcvhsnpdzGf4X77wduvRW45RbzM+EmOv7qr4CPfpSOITBBXCmdPJnuXc6mLunYIkCO\nlHKqwUND9FzYHuskad+VILeu+mZsbbec68lb/yVswFXNjep6Gl1slXASlUkpBfh9pQcOyNh3w5Am\nmStSumKFJ6VFIfo9zJ9P9wOHvAHJxQouKVUqaVwQkFJK1bOnu3+S6CkdHqYcqwqHpnEkldIyrf++\npxTupWVVvU66KTnXk5V0OXFc2He5NqdGKqVNTbze1KNHk89/NLXvRntKbUjpd79LpOroUeC558xi\nTGQopfmf/xm4804zYh9XSgHaoB04oB8jjZSa2HdtBx2pZy/tfFHX9t3xaFHKI6USZFLqeqq8KZHa\nbOXNSigLKa26UtrXR+uOmkLuSWlxiCrWTU00kLGjgxcjyQHEvS+SrLuAHCltbqb11vYZVkVcnV5s\nVeSyPTqxbIOOyjbjwBaFk1KXH5irSrlrpVTK5tToQUcAr6qctjAWrZTecw/wqlcBN94I/OY3ZjEm\nMnbupHvyv/5XSry7dvFjxJVSgK8SSCqlthalvGdPipRKnVPqsm8+DGWIjgsyKRWnbAOTyjbcSsK+\nW0alVKKnlKuU7t5dP8Mb8KS0SERJKQCcfTbfwqvanqIwUUqT7tHJk0nc0R3IlbUX5LjvJPJj3pyE\ngQG9ArmrQUdlKvxOqCNhpHzTZalwc+K4UkpdHwmTtkkHiiGlIyO0IEcT+JQpZOXgHk599ChNx7v4\nYuC664CHHuK93gN44gngqqtoE3TNNcDDD/NjSCilSUczAHJHwnDu9bQphUD1p+/aEiY1NdfW4eJi\n0BGgn8DLZt9yoQBIFkaklFKdjWgYNl4p5Q5/SZpMb3IkTGfn6OPSli0jourhHh0ddDKAQpGkNGnv\nFQT0c1211FVe09njZrUDNDWR6qq7bpfpDO+yOWVsUbhSqvNGXZwvp+LYKpxAuZRSqSNhJOy7AG8U\neNrCyF1gDx6kRTq6qQ0Cs2FHmzfTdMKmJvNzxCY6nnwSeMlL6M+XXQZs3MiP0dMzdpiDlH13xgxe\n0UOClLpSSjn23bQ4rqu4Lsmky/aNvE2JGjaiE6dMm5K8c0pd2ndHRuhzTIrT2kp5QEf1GRigf590\nnBDnOa/Vss875RyTkVRUM7HvdnaOLvDNmEGfCbdg62GP7u7RbUZLllARnAMJUtrfn7z3AijXcYqt\nWUqplJNIZy3Iyo2A3L7d9TpZtqKkLSpBSoeHKRk0pVytVC+o7o3gwgbMsRNI9pQ2ctARwFdKk0gD\nt68haUQ6YGbh3bQJWL2a/nzeeTSYQGfSpkcdmzcDa9bQn88/H9i6lR8jybomZd/lKqUSUznLZt8t\n04TBsjlcXMRR56nqEqaq2He5BQ3bAou6lqQ+MkD/2ZIq2Cr1N4nccs9uTCOlXPtuV9foVoggIOW0\ns5MXx8MOg4P0/aveXoAIanc3L04SKZ0+nfKU7l4lTRAAePdp2vRdQHaqvK19V8WxJaWqsGlrAy6b\nUuqPhImhjJuJRt/cUnaCKiulaYOOuKS0t3fslEKAlDYbUtreThVm33/Dw7Zto8/E4x6tU6vRhixu\nXZNSSrlTMKuilHILVC76AnXiSCqTeeu/VD6SiFPVKb4S9t2REdpAJ02j5sTJU0ckSCnnOU9bKwDe\nEVJhmExKp0yhz47TKxsnpQCR0v379WNE8X/+D/DpT0/MyfQ27125f6LiiwkpPXRoLCltauI5gLJI\nKbctJW0vyJlTIpEfs4pcgNy+nbNuN/pIGMmjxSZET2nZ7FtSg46k3pdE4pUYCAGUa9ARl5QeOjS6\n+qhgopS+8AIppAoXXEDKn4cehoepX0mdxbZqFQ06GhnRj3H4MN0X8R5DE1Ka1FPKsdFl2fGklFLX\nFWWgXGPvpdZbV8XNMp2bWoR9K8+WxilEZCmcEqRU1wEkZUPMIqWcgu2pU7QBjn/Oaooux8IrSUo3\nbwb+8i9psvovf8l/fZXx/PPAX/wF8M1v0jBELpIcXVJKKcCz8EoppRLPjXKLpBWoJAYdATKkFOC1\nAbooJvrpuwlw0Qs63pRSbhyJQUculFIJUqpIg+55p0kDIQAzUtrRQcMHFM47z8x+OlHR0UGJVt33\nkyaR7ZZjFevrSy4yzJ3Ls64dOZKslHIGjqhNr22vWRntu1lxXBIdF4PlgHKRSU6csg1MklAAdDaQ\nuhvRPKVUJ6+VTSlNK6gB/EGASUPjFiwwI6V33gm8853Ahz9Mx35NJNxxB/AHfwB86ENm7z3eTwrw\nSempU1TgTbrnZ83SL1a4UEp195RZzx6gX6ByoZQCcjMFXK7btRrdN2nE39t3YyijwlkmcpuVwDmW\nvRMnGt9TKjHoqLmZrlN3YUyyswBmB413dNDwAYVly/jT8SYytm0Dzjln9M+WLuWdxZbUTwrQzyTs\nuxylVGrSdFbvTRH2XQnb7fAwKTdVmZo7Hm3ArntKpWy3LlxEgPueUimlNG1yOMDviU9TSk16Su+5\nB/it3wLe8AbgJz+ZWBbeu+8GXvc6Oi7u17/mv15CKT1yhL7/JIfBzJn6DjOp+zRv+q5EYalMPaUq\nji2PaGsjhVhHeJEq/La1pTtTxp19t60t+edl3ExIxClT4uVuaMumlCaRBoBXVU5TSrk2pxMn6Nqj\nU19NRrZPZGzfXu8nVeB+hllKqRQp1b23spK3emZ0NmZ5m17X03d1znTLw0Qlk1KKq0Qc9Z5cTfFV\nMdI2NxLuH0DOvqubH/M218eP633GUkppmssD4CmlYShn3x0YAJ55ho77WrKEPtsdO3gxqoojR2i2\nxJVX0syJY8f4U3OTlNKpU+k70iWBhw8n73UAXttTnlLq0r6ro5RKkVvX9t20OEHgdqaAVI6VgBNS\nKjE1t0ykVGqz5epoGY59t9E9pZxx4mmDjgDeAitFSvfsoWQb3XB5pZSHXbuA5ctH/0xSKeVO301S\nGyZN0j8gPGuT2dxMiUXnGdax79pO4nY9oMjF+gZUN4+4iMOZ4itVcW/0hg2Qs+/qFnyynk91VIzO\nBtKFUsodaBMEY6/JxL67cSMVHFXuv/pqYP16Xoyq4umn6ezylhb6PC+5hH/UWRIpDQKeWprWTwrI\nkVLOHk5i+q5UYcmVfZdzikej85pr96cEnJDSNBQxfVdik6RzPWVRSpWNSmdT4koptbXvArwFNq16\nyD1oPG7dBUjl2717YtmUbLBvH7B48eifcUlpmlLK7aVKU0rVAeE692nWvQ7IVIPVJG7dXjwp+64t\nuXU1oKhMyiQga98tC7mV+s451jZX9l3d5zPrOdd1AEkqpRL23d7esec9A6ScdnXpxVDYsqU+mR4A\n1q6dOKT0qaeAyy+v/33NGj4pTTu6rmyktIxKqW2bG1CuQUcqji2vkZgErOJMCFKq+6EPDqZbgDlx\nXJLbsiilgP5Dm9dTWpZBR4CcUspR1vbsIQIVxcyZRBo4B1Mr/PCHlLx+/nP+a4tCby9w3XXARz9q\n9vq9e4FFi0b/bOlS+mx1kaaUqntXl3hlWeB0hx1lbTIB/fs9yx4IyFiUlLqkq7iWyb7rwpkiVVWW\nJMmuyO3wMPUvNbr/V2JOAuDevpu3MdbNj656SnWLc2lr6Zln0lrPwZYtdMSXwpo1NJF2ImDDBuCy\ny+p/NyGlSUopwCOlafMzAPdK6cgIrRm27jupntLxqJSGocygO6lCqwQqQUpdVrilpO6yKKUAb0Mr\n0dcmZd91QUptlVLAzMI7MAC8//3ArbcCv//77qpQtviTP6Fq+A9+ADzyCP/1SUoptyp/8GCyUgro\nb8iGh+nZSrtPdVULKVKqs+m1JaUtLVRA0TlAvUzni+qst64HC7l6X642NypG1qALl24kV/ZdiZ5S\ngKeUZq05UvZdXaW0ry+ZlM6eTeuozlqhECelq1dPnOPSnn56NCm96CI+IU9TSjkFAimltL/fXilV\nOS1tTSmip7RM7SQS6//wcL1FIwktLfXJulmYcD2laSjTlEIVx7VSKjUwSaKS5EoplbDvSg460rXe\n7t8/VuUDzIYd/exnlMD/9E9pGu1PfsJ7fRE4dAi46y46h+6DHwT+4R94rw/D5M+QS0rTNlKAPilV\nQ7TSEibHvptFSiUTr1RVOW9NUapZWSaoVsnmyo1Tll5ZneF9Lom2lKrhoqdUxZFQSqXsu7ZKaXMz\n30m0efNoUrp4Mb0fExdRlVCr0VT56PnlK1fSkCdOW0+aUsqZlSBp3826TyXcP657Sss26EiqmJi1\n3gaBTJwJY98dj+fCqTiuldI8q5OtUlrUoKM0e6WEUtreTlUmXQU4LWksXkwKIAd33w28/vX057e8\nhche2fGrX5F1d+5cGvn/85/rnxUL0GTcKVPGJgZlT9JN4GkbKUB/Q5Z1bwE8+65Er5nLCYN5caRU\nM0mC4oK8VdF2KxVH97PJe0bL1pIiad910VOqW7DNOqeUM+goay2dN0//HO/hYSJh0eO+ggC44ILx\nr5bu2UMEPnp/KCePLiGv1Sg/JvX3cooDeaRUV0GX6CnNe2bG6zmlLgt4edeiG8fbd09DV1qW6il1\nNb32uuEAACAASURBVHijjMMcbCeA6h5vEYYySqmafpr2vnRJaRhm91lwFvw0UrpwIZ+U/vKXwKtf\nTX/+z/+ZlNO856Bo3H03cNNN9OcVKyhpbdqk//p9+5KV5smT6f7STeBpg44AOVIqZd8t29h7nbUg\nr8ile4aan5qbHycrr+mQ2zCkf9NoUqqGbeVdTxXtuxLPp4RSqu4FnXtHatBRFinl2Eb37aNiZfwz\nuuACXo6oIpLO3g4CmjK/a5dejL4+yjlJ6wFnIGOZpu/qDAEcj+eUSolSEuu2VJwJY9+VkpaLUEpd\nyPeSVWVb+25rK31feVN8BwfrG5gk6FaUlX0kTa3RXWCPH6drSfveOX2laT0fixbxxud3dtK1q0mF\nixZRhbTMQyHCEPjFL4DXvKb+s7Vrgcce04+RRkoBnoVXQinNGnIE6KsWVeopBfQSeN56UtV1W6oa\nLEECpeIMDZHVMu3YNd04UhV3KReR1AayjD2lWeuF7rojdU5pVn8+Rynt6Bg7BBAgS+vWrXoxqook\nUgpQ4XbnTr0YaQVvoDj7rq1S6mIyPVDMkTASopQLhwugV9z09t0IJD4wyU2JRI9T2ZRSTiXJdmOc\ntxDpVtmyFkVAf4FNs+4qcEiplFL61FM0FCFKuK+7DnjwQf0YrrF7NxHTVavqP7vqKh4p3bt37JAj\nBQ4pzVNKdRTXLPsboG/fzbvfOaQ0K47LntK85A3IEJ0yklJXCqfU9biqlAN6947kvAUX9t0y9ZQC\n+uuO1KAjKaU0aTI9QL2VusQsDtfHrJn+/9JIKUcpTSt4A3xSmrbfmTFDb8+kns+09UBSKZXqKXV9\nJEzW9eist2FIBUVbPuJq/W9tJScfp13LFIWTUtcVd1ejnMt0uLxOJWloiB6UNIUT0FtEdDbpOlU2\nV6RU1xrT30+fT9KGYuFCnlIan9QHAC97GfDAA/oxXOPxx4mERon0lVe6V0qHh+m7sB3yMR7tu2o8\nvG0C11HNpAhKmQYdlXHGgW3BVvd6pOKUbXhflXpKAZ5SKjHoKGtonIRSqgb+cPHFL9Lz+Hu/52Yj\n/KlP0X37P/8n/7WNVko5hXMJpTRr8i7AU0olhve5nLcgpZTq5EblPkyDy3U7r0UyCPSLrbaoBCkt\n2zmlVTwgXKePLOvBV3FsSalule3o0eyFUZc06CilOlXInh5KGkmLyKJFfKX00ktH/+zaa4GHHtKP\n4RqPP04kNIqLLqJjAHR7YZPOKFXQJaWqPzjNrjhrlhwprZp9VyW6LCunzmY+r6Ks4uiQW52BQDrD\nc8qmlJaFJJeRlJapYFulnlJARimVmL4L8JTSPFLKUSG3bQNuvx149lngmWeAO+7Qf60J7r4b+Pa3\ngeeeA771Lb5jKY2ULltGDiMdqP1FEjhKqcQ5pXmCQBmVUl37rlSRtCq9oK7jSKBwUirld9bZ3JTN\nBiyplNo+tFn9pApSSqmufTeLNLi273Z3p9trZs2ie0J3qvDTT48lpatW0es5R6O4RBIpnTaNhlvo\nHoeTdEapgi4pzdpEAe6n77o8EkaHTOY9w7pkUmqiX1YczvAcqR7OvOKmbk+prX23ViPVP8uZUiYy\nCegVW/O+c2UDyytklW36bhl7StNI6RlnkPNJ516Wmr67Z0/yGd6zZtF3rktuAeALX6AzvC+4gBTT\nT386f5aFDT75SeBv/gY491zg4x8HPvc5/dcODxPxXLly7H/jTOXP2l9wjq7LUkqnTaO8lxcn6zgY\noHzTd6VcEy4HHem2S5SJlLrqKy2clLqeDOhi0JFLpVSdKdjSkh1HZ0Obp5RKkNK2tvrEyCxI2Xez\neiwAHilNq2QGgb6Fd3CQEnjStL6rrgLWr8+P4RojI8CGDcAVV4z9b6tX609XlLDvSpHSrE0dwLPv\nujoSJu/Z0yGluvZdKXJbpsmAZYqjiG1Z7Fu6cWy/8yDQy486/V8SG9Hx2FMaBPp9pY1WSgGehXd4\nGPje94B3vIP+vnYt9Wb+6Ed6r+fi6afpKJabb6a///ZvA//+7/rnxXZ00L4g6R7jOKiy9hdtbXS/\n5+13wjCblLa2Uqy8+11HKXU56Eiyp7Qsg44k1+2sAiknjs71ePvuabj64ItQSm296epBy9rc6Dy0\nukqp7aAjQM/+IdlTmrZIA/o9pVlJA9AnpTt3UgU16X7mTrN1ha1b6b0nDRfikNI8+25nZ36MrCFH\nQPl6SnVJqU7/jZRSajt9V8WRqgbbxqliT6luZbqKPaVS1u8yTd8tU0/p0BCRt6z3pUNKBwfpvaet\ngxI9pQCPlD76KOWI6EC9970P+PKX9V7PxR13AG9/e73lYfp0mu/w05/qvX7bttHXGsWcOXTf6BCv\nrEFHKlbePuXUqXrRJw06Z5Xm7b3a2kgIyVubpI6EkZy+Wxb7rpQbKW+CO6CXR/LcP7rXI4HCSanu\nB1aminuZlFKdm1t3QyuhlOYpR4Ce/cPl9F1OT2kadKuiaf0nQHmV0sceG2vdVVi9Wu9w9P5+eibS\nCOX8+XobIJf2Xd1qsK19t1bLT3Q6CVzSvuuKoEjYgF0rpRI2YKlNgEsyKfFdqTi2aj1HHZHY0Eoo\npWGop5TmrTtq7coqROusg319lBvT4ugqpceO0f2ctrZzSem1147+2ZveRHMYdNtEdDE0BNx5Z12V\nVfhP/wn41a/0Ymzfnk5Kg0B/X5BX9NbpK81SSRV09k15g46CQE9YKFtPqcT03eFh+j3PmViWqbmS\ncbx9NwKpD8zlwAxXPaW6lj2JnlIdC2FeRRnQqypLDTo6ciR7oZboKQX0ldI8Uvr447xpg7t3A3fd\npUesh4cp2T7yCG/wxBNPpJNS3XPolHU3awPU3Z0fp4xKqa2CcvIkrRlZA4qklFKX9l1XCbO1lTaY\nec+NzrotcZRLFQcUSanaOgUNnaKtTm6Umr6rszE+fjw7js5zPjhYn2KZBp11J2/tAmgdzFPEsibv\nAkRYjx3L7+dU/aRpazuHlK5fT46hKCZPBm65BfjmN/Vi6OIXv6BrO/fc0T+/4Qbg/vv1YuzYkdxP\nqqDbV5pX9HZJSvMEAUDvftd1/+TtRfL2prprgcQ5pa5aUqoaRwK5pDQIgsVBENwbBMGmIAg2BkHw\n30//fFYQBL8MgmBrEAS/CIIgo0MrHS79znlVXJfy/fAwPYy2FRcppTSvEgzI9JQCMvbd9na9YQ55\nC7VETynAU0rjSVBh7lz6tWVLfhyAkuoVVwD/8A+kWN5zT/q/PXYMuPFG4BOfAG69FfjIR/T+HwCR\n0qR+UkB/w5HVTwqQVezgwXxiUbZBR3mkVOeZ0SnkSPWUurbvSqlvEjMFJKa4h6E7+24V47iy77a1\nUQ7NG5gk1VN68qT9c67jIuIopVmYMSN/HcxbS5ua6L8fOJAdp6MjeciRAues0sceG0tKAeBd7wK+\n8Q3Z42HuuAN45zvH/nz1avrsdPJ5HildtIjaVrIQhvlFb519iiQpzVLzAb37NC+vNTXRc2x7MoSu\na0KClOrktDIVbKXjlKWndBjAH4VhuBrANQA+EATB+QA+BuDfwzA8D8C9AD5ucgG6ZNKF1UkRRCXR\np0HqnKLJk7MtOFJKqVQcnQSuq5TmLWg6FpLp0/OJQ95AG91x63mVTF2l9IUX0pVSQL+v9MAB6oX5\n4Q+Bn/8c+O53gbe9DfjZz8b+28OHgVe/mqYZrl9PQ4t+9CN6bR6GhoCNG8eeq6qwYAF9B3nfQ9bk\nXYBIxfTp+d+FjlJ66FB+9VVn0JGEfVenoqxbEKra9F3XVWWJKe46xcTm5mxVW9e+Ox57SqXsu3lW\nO87AJFvrXxjmqzW6ypHOZj9vLdVRsnSKc3mkFNDrK923L5+U6hQuu7rovSXZYV/yEvr8pc7y7usj\n19Att4z9b01N+ueGSyil/f11S2wadPYpefMzAPdKad5eUKeY48q+q9tW4KLQ6jqOTjtJaey7YRh2\nhWH49Ok/9wPYDGAxgJsBqBOk7gDwBpML0HmjrnpKpeK4rihL2XellNK8OBJKKaC3wOoqpXkkJq+S\nKdFTChAp1ekr/V//ixKq6r+54QYimr/7u6OHNPT0AK98JVmDv/xlSrgzZgBf+hLwsY/lKw3PP0/n\nraUlzCDQOyQ8a8iRwvz5+RbevI3UpElUXMq73yXsuyMj+VVcXfuuzhnBEueL6tp3qzToCHC3bksl\nb9dTE13mIykbsM712BZqdJ6rwUFaU7JcTVIuIp1imJR9V4eU6vSV7ttHRdk0LFxI15K3Dq5fT3kq\nqVAfBHW1VALf/jZw003pewPVSpOFMKS8Z6uU5g05AvTtu1nzMwCZnlJATynV2QvqOonKMuiojPMW\nysSNJMDqKQ2CYBmASwE8CmB+GIbdABFXAPNMLqCKH7yrAUW6CqfUoKMy9ZTmDYQA9ElpliLW3k5E\nLe99SUzfPXmSElDalEJAb9jR4CD113zoQ6N/fvXVwI9/TMn7058GvvIVIrmvfS3w+c+PTvavehUl\n5B//OPv/9eSTVKXOgk4lPE8pBfSGHeX1QQF6KoGEfVclyyzVTCLpAnrPsG4vqCv7btUSr4TaKnUt\nVY4jcd6pVF+zRE+pzrwFqZyms+5I2nezXCeAnlK6f392wbGpiQqX27dnx0mz7irceivwb/+WTYYO\nHgTuvReZk9zDEPjHfwR+7/fS/80VV1DbShY6O+n7yiJwOkpp3t4CkLPvzpjhTinV2QtKKKWtrflW\nfuV+zDoXerzadyUdN3lxHn44+7/rIKP2NxpBEEwF8H0A/yMMw/4gCLRHpdx2223/8ed169Zh3bp1\n//H3qiVenZ4iyYqyxAZSatCRbjU4j3zo2nd1SKmOfTdvoVZVyLQFdHCQrierCqlIaRimW7J37KAz\n17Iq7pddRoODshbin/yE+l6SKrRr19IEw89/Hti1i9TR17xm7L8LAhq1/4//CLwhw+OQ1U+qoENK\n9+4FXv7y7H+jM+xIZyOlLLxZ1fu8jd2UKfScj4yQXTMJOsqHlH1XsqdUZ23Ku56qrds6cZTCmfUM\nu7ISS8fR+Wzy7mVde5tUXsuLI+EeUM6BrO/c5bwFSaU0z72iq5Tq2Hdf+9rsf3POOeQSuuSS9H+z\nfj3w4Q+n//f588lW+/3vkyMojjvvBD74wfoxZR/7GPDRj479Xp94gj7DG29M/39dfjlN/K3V0ouO\nedZdQM9BldcaBND3lEeS8wrwgNueUl37rq1gEgT15zjt/6cj3ozHQquLOPfddx/uu+8+AMDXvpYd\nQwdapDQIghYQIf1WGIaqE607CIL5YRh2B0FwFoDUpStKSuPQZfFlsTqpnqK0jaruteiqEbY9M4Ds\nkTB5FhKd6piUfXfaNHv7LlA/FiZNweztpQFEeYpYe3u2kpd1ppnC5MmUVDdsGDsaX+HrXyc1NA0r\nVgB/93fZ/x8AeMtbaBOgpicm4YknqHc1CytXUt9pFvIGHQF6SqnORirPuqZst1n3aRDUiydpiV6n\ncCKllEr1lOrad/OIf5kGHenGybPeql7R4eH0irqUfVfSBiy1KdH5zl3lNQmlNAzz46hhK1n3qs7z\nWTalVPdImDxSpbMm5ymlQJ2UpqFWI7vsVVdlx3nXu4C/+RsaUBQlm3fcQUP87r8fuOgiymmvex1d\n2+c+N/rf/vVfAx/4QHY+nzOHcv4LLwDnn5/8b3RJaZ59N681SF2Pjn03LzfqzG3Qse9KzkqQcCqo\nPW5aTi9be0IZyGQUNvkoKjT+7GfAnj23ZwfKga5992sANoVh+IXIz34E4HdP//mdADTGpoyF7gfm\n6gvMu6F0bsqWFkqIWQOTpHpmJM8plRh0pNNH4Mq+W6vpJfC8g6l7e/OTBpBfFd2xI5+UAtkW3q4u\nGsDwX/5Lfpw8nHFG9qj9gQHqKc2qbgNy9l1dpdTWvqsKHllDxoD8DaKkUipVWHJp35UYdOQqgddq\nVIzIsm/pxCnbZqKKcVxNlR8aIuKR5UwB8jfGUmd4SymlOgVbiem7gN6anNdTCuST0i1biATOy2kC\ne/3rKaf/4Af1n33968AnP0nT5y+6iH62ZAlw331kJ/zAB+pTex98EHjoIXIJ5eGKK6h9JQ06+XzB\nAto/ZO0FdZRS19N3pXpKpey7tu0tkseclanQWsY4ttA5EuZaAL8D4MYgCJ4KgmBDEAQ3AfgsgFcF\nQbAVwCsB/JXJBVTtg9eJEQR6cco26EjCvqurlEok3rwFtr+frjlvU5JXhezpyU+WACXmPFKaV1kF\nsocdfetbwBvfmE/YdfHOd1KVOWnQ0+OPk2qb933mkdKhIUrMZ52VHSevKn/qFMXKu548UqpTqADy\nhx3pKqXHj2cP0pLsKXVpUapSNVi5bfIKEXmW2TK9J06cspwvyrke23tZp0gD5BdbpZRS3ePSynJO\nKZA/fG5oiOLkkapzzyXVMQ15/aQKLS3UcvLf/hvlwj/+Y+C224iQxhXNWbNowu6zz1I/6ne/C7z1\nrTRrIe97AGiWQpZlVieft7QQ2e7qSv83kkqpDinNuy907LtS93teW8rwMBUU8oqJeflRx76r1qWs\nXF3GeQsuXaQ6rlZb6EzffSgMw+YwDC8Nw/CyMAwvD8Pw7jAM+8IwfGUYhueFYfiqMAw1Tgcci6rZ\nd3ViADKKq47VTnLQkc7G2PbAZEC2pzSLlOos0kD+gq+rlC5ZQrahNHBIadKxMGFI0wezrLtcrF1L\nG/VHHx37337zG+D66/NjnH02kfG0Q9a7uujzyysO5G2A1CYqj1jkkdIjR/RJadZ9qpN0W1vJFpq1\nprjsKXU5fbdM/Te663aeZVYnF+nkNJdHwuiQSV0FwNXEZQmlVJeU5j1bOgXbSZNoA52liOnkNJ2p\n3y4HHeWtyV1dVLDNamcC8pVSNXlXB9dcQwTzO9+hNXj9euC885L/7fTpwN13k4vpG98A/v7vSW3V\nQd6wI918njfsyOWgI505HLrTd3UHAWZBFW3ToJ7hvJyvs9/OW0+am/PPu3Z9zJmEi1SqDUS3LcUW\nrOm7jUDZqsp5CVzn5paK4yp5A27PKXV1JEzeWZQKUkrp0qUypPSccyjBxFXDxx+ne+plL8uPoYsg\nqKulcfzmN3TUTB7a2kglfvHF5P+ucxwMkG8V07GbAfVBR2nQVUrzEq/OJhOg5yFv0+vynFJX9t0y\nqYq6pDQvjmQrSVkKrZJxXOc1240okO8A0nk+gyA/jq5916VSqkNKs9wrOv2kANlYjx9Pz9fr1+sp\npQrr1tHAvy99Kd+BM3Uq9aH+7GfAzTfr/z9e8hIadpRUaAhDvRkRQH5fqY59d+ZM+uyyJsweOiRz\nJIzuoCOpc0ptXQqAjH0XyF+bXNt3pdxIOkVSqXxki0qQUomNwMgILSR5ak3ejcDZ3Ejd3KofIglS\n9l2dDW3e5hrQP6c0S4EaGqJEkPf55A060lVK1aCjNOgqpUuXAh0dyf9taIgS07Jl+XGamoArrxxr\n4f3a18YOeJDA298OfO97o+/XU6eARx4BrrtOL8bKlekj/3WGHAH5GyCdTRRAidmFfVcn6QL5VifJ\nc0qlpu9KqWZVU0ol4qgjCrLWbZcDKlz2gkoUfnUm3Ks4UkqpxMY4zwF0/LieLfLUqWzyoUtKswpz\ngN56qgqFaZZGnX5SgHLWqlXJaunJk9RTetll+XFcYuZMem+bN4/9bz09lKd1itV5syZ07LvNzfSd\nZ+U1l0fC5JFS5RrIe4Z1+rklnmEdRyGQv6a4PMO7ikXJcUFKJc/QKcumBJCxE+j0pkrZd3V7SiXO\npsojpUqByiNfkkppljWGo5SmkdKODqoW520gFV7xCqoEKxw7Rnald79b7/UcLFlCG4If/aj+s1/9\nin6mo0wCpO6mkdK9e/OHHAH5GyCOUppHSnXuC4meUiCflEpNKZRyTZRpUmGtRgUdW+KlQ9504ugo\nnEGQn9fKuJkoi1I6OEjEPms6KiBn35UYdATkP+f9/fm5MQjy8+OxY3r23f7+dHKrPjeddae1NT3P\n6iqlQHpf6YYNNLtAhzS4xlVXkUMpjk2b6Jp1CsQ69t08tRfId3RJ9ZTqTt/NukdVTsv7fPKEDilS\nquuaaG/PdziWab11GUe3LcUWhZNSV1YnSVIqZd+VIrcuj4RxoZTqbvZnzMheYMvUU6pr3VV461tp\nwqB6yL/5TTrnU3cDwMU73wn80z/V//6d7wBvepP+67N6hnSV0ilTqCKcdm9IklJXPaVAfjFHh5S2\nteUfEO66p9RFwlRkUmdAkVRPaVZi1XHt6FyP7gh+l+eUulRKJWy3UoOOJJXSrOdcd73IK4YdPZpP\nGpqa6N+k5UedflKFrL5SXaUUoByRREq51l2XuPLKdFJ6wQV6MbLsu6dO0f2VZ7sFsh1dYShzTqly\nqeU9w3l7OE5udEVKXdl3pdxILltkJNtSbFEJUirxgXEUTgkymWdv41Ru8hKvy55SF9N3dewjgDtS\nqquULllCySfJtsclpWefTQd4f+Mb9Hn8xV8AH/+4/uu5eMtbgK1baYz+7t3Uf3PrrfqvzyOlOkop\nkN1XqruRKtP0XUBGKVUHhNsqQ1I9pVITVF0OKHLplJGIU7ZKuSullJMbJSx7Oj2lOhtaHaVUZ73I\na0vRXb9mzUq38Oq2QgC0Jqe1VXCU0jVraBJuHFUlpatX68XIsu+qIUc6imuWo+vECVK0855hdW+l\nuZE4x6XZ5jRApp8bKJd9Vx0JmVVALtu6LSH8heE4UkrLZt+V6CmVqLjoxNF9SIIgfToqINNTGobl\nUkp17btSPaXt7bRZSErgXFIKAH/1V3T+2g030DEwV17Jez0HkycDX/wi8La3ATfdBPzpn+pvWoBs\nUvrii0TYdZDVV6pzhAHgjpRyekpdJV4J10SZ+maqSCaB8WnflarcS5JSWxeRilM1pVRn/crqK+WQ\nUiml9LLLaHBQHI88Alx9tV4M17j0UiKg8fueo5QuXpyulHZ16Vl3gex9im4BftIkciOlPTc61l2g\nmkqp1H67akVJScdNnosob2aPDgonpXkVbtVT5OLQc8k4klN8JWwJOonXtqdU3ZR5N6YOKa2iUgqk\nT+DdsQNYsUIvhsLllwO//CURxL/7O95rTfC61wH/9m/AZz8L/Mmf8F67YgW976TCx65d+u89awNU\nhH3XlVIq0fvmcvKp1DEjOsU73XXblgSqOLY9pTpxOEfCZJ2b55rcSgy3krTvuugplSSlukpp2roT\nhvpOoqyBb1KklKOUnnMOFXij19TRQffMOefoxXCNM86gXthnnqn/rFYjcn355XoxlFKa9BxzSGmW\nUnr4sJ4FGMgedqQzeRfQG+ol0dri2r6bV+iSEpOqWJTM42q6rS15KJyUlq2nKC+ObsLUse9KKK66\ntgQdlUW3pzRtk6SjkgJ69l0ppVSHlM6aRf82yXZ76hT90lFcAVIEk4YdmSilAFWXb7kl/xw4Kaxd\nS2PzuRN+1bEwu3eP/vnJk5RIdavpefZdiSNhdM8plTwSRsLqVDalNCvO8LD+tHMX67buoCNXPaU6\n5La5mXoDs86+lCKTEgM8dL9zl/ZdqcmdrgYdAdmk9Phxul6dfJBl39VdSwE5pbSpCbj44tEE78EH\nacK79ER5SaxdCzz8cP3vL7xAhH7uXL3XT5lC93PSd+FaKQWyhx3pFjzy9nCS9l3X03cl1iYJx6VL\nUuqyRTIPlSClZVI4pey7khYlVwm8uTm7WqLTTwrIKqV5R8LokMmWFvr/JVWVe3tJJdVNmkkTeGs1\nYOdOvTPNqowkC+/u3fSZ6JLqPPuubk/pkSPpxRPXg46kSKmE1WnSJFKz846ZslVKXbdLlM0pI2Hf\nlboel6q2y42fVMHWpVKqs15Mn55OSnVJA9D4ntL+flpLdMkQQGd/Ro86e+AB/WPHisKrXkWOJYXH\nHqOpvBykDTuSVEo5pDRt38Sx70rc61KTryXtu1lxXDolq9ZTOm5IaRkHVEj1lOZdj1QCl6ok2Vqd\ndJVSdfOnbdp0ldL2dqrOp8XhLNRpFl7dflKFs88eqxZ2dNB16BChKiNpuuLOnTzbsoRSqgY+pCVN\n1/Zdiem7gMwzrI6ZsiUFksRCarCcqzwidbRM1XqTdFxEEjlWqtDKyY1ls++mkQbdtQuQI6VpSun+\n/aSSclTOV76SjhsDqGj4058Cr361/uuLwCteQeRZ3Wv33w9cey0vRtqwIyml9NAhGVKqu/fS6Sl1\nVWgF3E3flcprnPU2r31DakCRrX1XNzfmoXBSqvPllWkTUIR9V8KWINFTCmRvsHWVUiB7UdOt1gVB\ntoVX174LpC/4nH5SADjvPJpiG8XmzfqT+qqMJKV01y5g+XL9GFlKKcdyltVXWsSgo7y+GakEbrsW\nhKHM+aJF9PC7uB6XR8IAeoqr7aZExZH4zqUKES6PhDnjDJncmKceSdh3y0RKOdZdhXXrgEcfpc/p\nySfpOyx7bpw1C7jkEuDee8lh8vOfA699LS9G2rCjIpTSvJ5Snb1XWxtNl00bnqm7F3RFSl3bdyXy\nUVMTFdht20ny1v+hoXqriE2cCdNTWrYBRa7tuy76b9TiYmt10t2kA9mkVLdaB2STUl37LiCnlJ5/\nPrBly+ifcSb1VRkSSmnaBigMeRspF6SU01PqYvquRDV4eJiSk21foMuBEED58ojLXtm8OOq7lOhN\nlVBKy9hTWjaltNGklHNO6VlnAZ2dY3/e0UHOIA6mTydieuedwJe/DPz2b5e7n1ThHe8A/v7v6ai0\nhQv5rTiNVkql7Lu6e68gyC7ClG0yveSgo6q1pUgVSKW4UR5KT0pd95S6JLdlse+qTYBOcshaRHQX\nEEBGKQXklNK0KiRXKV22jEhV9DPinGlWZaxZQ0MsonaTzZtJPdZFWv/SsWP03OkuelVSSl32lAJ6\na0EepEbnS/amSiReSftuWTYleXF07Vsuc5pLUqqjlNqS0pER/VztSinVdZ0sXkyEKt6H/uKLJmqF\nSwAAIABJREFUfFIKAJ/4BPCRjxDB++//nf/6IvD2t9P7veUW4FOf4r8+i5TOn68XI+uUAM703axB\nR5y9V9Yerkw5DXAvAkkVW6VswGXKRXkoPSktY0+plH1XYtCRhGVP98EHsu27XiklG8SqVaMVw+ef\nnxhK6eLFtMHdv7/+s40biazqIk0pVYeM6yKPlOrcF1Wavqtst7ZKqWTSdTWlUF1PmWzAedcjSZJt\n8yPHvuVionwRLiKJYStZz7l6xnUKv1mktIhBR2nnb5uS0muuoWFBGzbwzsIuEu3t1Ff68MM0nZ6L\nJPturUYK9IIFejFcDDri3F9Zx8IUcU6pRGuLzhGMVZviW7bCbx4qQUrLkrwB2cRbFquTbs8MkL2I\nlEkpPXWKNuo6nw1AC/6BA2N/3t3NI6UAWXg3b6Y/Dw0RMbv0Ul6MKiIIRh+QfugQJT/OxmXmTEpo\n8WeQ+z2kHQtTq/FsdFWZvjswQP0necQCkFFK887QlFRKXZLbsjl3XEzxlSz8eqU0+b/prjlA+QYd\nAcnnb5uSUoBypK5ttSyYPZt6S02QpJR2d9N3qbtnmj6d7tOk9UCyp1T3Ps3aw1X1nNIyKZyAjMOl\nbMJfHipBSstmu5WIIzWiWsK+q1sJBtz0lOoqUEC6FUVZd3X7Vc46K1mh6+zkD3NYs6ZOzJ59lnoq\nx/vkXYXLL6cKOAA89xxw4YV6REmhqYns0r29o38upZQeO0b3qM41TZlCz9fIyNj/FoYypHRkRJ/o\nZFWDddcTFcdWKVVTfCWITpmsReM5TtrnzCHIWccJlU0plZgoD+gXbbOec90hR0D2kTBF9JQCyedv\n795tTkonGpYsIRIfLeJxe3KDIP077evj2Xdtj4QBsntKJc8plZpM7/IIRkkHUFocXYdLayvtM9LW\nbdeunTyUnpRWtadUygYsdRablH3XRU8px0KSppRyrLsAkdKurrE/379f316j8NKXAo88Qn9+9FHg\n6qt5r68yrryS3jNAn8GVV/JjJB0LwyWls2Ylk1LOpi4I0i1KJ0/SM65z/mpWNVg9ezrFkyxFh/MM\nZxW6OORWygZcpmJi1Zw7Ep+PZCGiikqpzmR610qpBClNc4ucPEkbVN1cDYxVSms1sqMuXaofYyJj\n9mwiD1E3VkcH//NLG3Z04AAwd65ejKyeUs7eS0IpzZviO9F7SiUKv0GQfZyLV0pjKFvyluoFlUy8\naXHCUP99VamnlKOUpllROEOOgPQJg+osNg6uuooG/vT3A7/4BXDDDbzXVxk33gg8+CDds/feC7z8\n5fwYScfCSCmlR4/qJ10gfYPIuUd1es10kKWUcp7hrLVAl1gA2WtcEUppley7Zeop5Wwm8sit65YU\niThSak0eKdXNjZKk9MiRsQqJsu5ypt7GldKuLoqvu+ZMdAQBTaffvr3+MxNSmtZXevAgj5RK2Hfz\nekp1npkgkCm2Stp3s+KUaTYBZ9120b4x7npK03qTxmNlGpBJ4OpabPvIOBtjFz2lRSilCxaMVUoH\nBmjx1l3sFaZPB66/HvjKV4D77gNe9zre66uMWbOIlH/pS6SY3ngjP0bSsCMpUnrokL7NCcgmpbqb\nTCl3gaRSaqtw5sWRUs1cJ8wy5pGsoqTE++Jubmy/cxUjqx9ZorVFYkMbhvpxpOy7UqS0pYX+n/FY\nvb28ifIAkdKoUrp9O7ByJS/GREf8HG+TI3WSlNIwJKVUd5pyVk+ppH1X937P21NW9ZxSifY9ibYL\ndT0SBeQJoZQ2N9OvNPm+bGSyTIqr7oMGyKksZespTSOlnJH3QP0okmhVWY1r5/REKnz0o/Tr/e/n\nKbbjAZ/6FI38/4M/4BUGFJKOhSmKlKbdpxw7XtZmldPPLdlT6sK+W9W2i6rYdwcH9YdblUkpbW4m\nwpR2bmoRg47Snquhofoh9nlwMeiIU7AFknsQe3r4w/tWrhyt8m3ePDEmykti1arRn+GOHcDy5bwY\nSacE9PfT/am7bktN35Ww7wLZRVvd/Chl35VyX+SdBQ7knwUOyBYTs/JImXpKNT6WxkO92aQPhmOX\nyqu465ADnQ9eqlfKthqsa0kA6N+lHZFRVE9p0rRbQOZIGO50wUmTaDHu66sroybWXYV162jh130f\n4wk33GD33ufPH2ulLqNS6tq+K6WUSgw6AuSqr4ODVAxKIldlKyZy4mRtkqQUTl27VJmUUqB+7ySR\nPdeDjrKKPZzJ9NJKaRiOtdhylFKActmBA3R+toIJKT3/fDrmbGSEigqelPJxzjnAT39a/7vJZzh7\n9lj77sGDvAK8lH1X4pxSILsoVNXpu64UTpfrf9TVmmT951xPFgpXSgGZxOuyp1Sqb8Y2DlcprUJP\naRjKKKXc6YIAWXijZMiGlAK0ueD07Ywn2Lz3RiulnPsijZRyK8Fl6ikt06AjNTwn7dgT12RS53zR\nsii3uteSF0eq4q6b01Qc23unrY1Uh6Tp2Jw4WcUezvMppZS2ttJ7S7ombk980iRzE1I6bRoR3Bdf\npL9v3kxE1UMf554LbN1Kfz51io6IkVBKOUOOgOxBR5yjZSTOKQXckNIynVMqqXC6XP+VqzXN4cK5\nnixUgpROZPuulKpRlZ7SkycpIetYGwA5pRQYO4HXlpR6mCHeUxqGVCzgnGuXNnmSMzofkOkpVc9w\n0kj2opTSRpNSSfWtLCRQxXFZJC3ToAt1PZJKaRI4BY28oq2uOjIwYP98quc8iSRzNulA+rpz+DBv\n/Uoq8JmQUgBYvRrYtInW4+eeo7976OOii4AtW+he27KFjorTsYVHMXfu2CIDZ8gRUFdK4z3dYUg/\n1225yeop5ZJS26KtymkSfepp60mtRnZ+nfVfcp0s0/ovFScL44aUqrN40qqmZSS3tg8J177b6CNh\nJJRSTqM9kK6IcXtKgbETePfsoUOvPdxi4cLRB4339tL9KXFfSNl3jx3Tt9E1NdFznPTccOyBeUqp\nS0KQF8d14tVROMvkuJFoSynbpoSjlErdgxJ5LYvcckhpU1P6M8opYgHp686hQ7wZBUmktLfXjJSq\n87c7OkgtiVqCPfJxxhlk4d24kYYArl3Lj5F0njpnyBFQL/rH7/cTJ+oqvQ7KZN9VfeppjhvdvXKW\nCKRyiI4DTKL3HnCz/nOm5kpdTxZKT0p1k3feGWqcwRsuGp1rNT01MMtOUJR9t5FKKaenAUjusQDM\n7LtLl44ee79zp58wWASWLwd27apXPV98kT+lUE0YjKsfJqQ06T7l9nalWfuklFKpApXrQUdAtZRS\n3XyUtSlRU3N1VBIXvaBcMpl1Pa4LI1J5LY1McgaRAenPOce+CyQPO6rVeEoWIKuU3nADHfP14IPA\ntddO3NYUG1x3HXDPPcDDDwPXXMN/fdLRdVz7LpDcV8o9sUBq0JEEKQXS14IwlGmX46xLZSsmurIT\n+55SZhzXm5u8m0C34lKm5N3ontIjR3gLoyKlaWexcbBiBRFRhZ076WcebjF1Km3KlJXahJS2tNC9\nGr/HpHpKTUhpmlJaRE9pWQYdScWRHFA00abmcsikJLlt9D3IKdqmFXw4zyeQTUptldJjx+hadFtb\nAFlSev31pJR+9rMT65gzSbzpTcBXvwr85CfATTfxX590dB130BGQTEq5Z7un3evDw2Rz5Tx7SXmN\ncxwTkL7HHRykZ6a5OT+Gi3kLZSOT3r6bgDJ9YFI9pXnyPYdMNtq+W6aeUi4pbW2lWPG+UhP7bpSU\nhiGNbPektBhEvwsTUgqQIhpX0U2OhJEipY1USsvWU8qtKtuu221ttPnIOu+6LD2lVd5MVEUpHR6m\ne0G3Zy+t4MOx1wPpzzlneB+QrmRxjxeTJKXTptFxX2eeCbztbfzXe9BU/osuAt79bnJmcTF//tij\n60yV0vieibv3ymrBmjpVX0lP21MODNDzq0MmgfS1gLNP9mTSTZwslIaUluULbG2t22uTIHXoretK\ncFV6Srn2JCB5Ip2JfXfFCiKiQH1IDjeGhwwkSGnSUAipQUecnlJAhpRKKaVlG3QkEaepqU5MbeK4\nUkp13T9l3NxUQSlVzwNnY9xIpZTbU5rUE180KQXo/Ol//3ceUfeoo7kZuOsu4H//b7PXT5pEOSm6\n39m/nxRUDpIGRHLvr6wWLM78h7Q9JSenAel5rah5CxKilItBR9ye0glBSrM+eNdjj4OAviAJxbXR\n9qSy2XellFLOZh8YS0prNb4iBgBLlhCJOXWKDrleudL3zRSFlSuBbdvozy+8QAePc3HmmWNJqdSg\nIymllKOg5PWUTuRBR0A2YdJNvHlHeUkcCVPlCreLHieJvGayobW11wPpzzm3iDVr1tjp4SY5LU5K\nlfrKIcge5YLEKQGzZ4+9v6SUUi4pTVNKpUippDOxiJ7SshUlfU+p455SqThS07fyPO6up+9m2Xe5\nSmnSZp+7MAJjSanqveGOW29upiE7W7cCTz8NXHIJ7/UecrjkEuCZZ+jPzz5r9l3Mmzd6QxaGxZHS\ntGIOZwBKlZTSsk0Y9PbdcpFJyfYWCVKatTGWIKXc9SKJlJoopWoNVLb2PXuo+OqLrdVFfNjRvn38\nUwKSBkRy915ZBRiOVT3t2eNa5yXsuyoXJbWBVNm+W7bryUIlSGlZ+mbCkNfjNDCQfnOXyb4r0VM6\nNEQKpW4Bob2dXhO325mS0gMH6n83afxXuPJK4PHHgQ0bgMsvN4vhYY/LL6fvoLeX7tslS/gx4krp\nyZP1Yxt00ejpuxyltK2NjrxKOry66oOOXPQ72pJS9bnrDJrJqyhL5bQqFmyBxt+DnBhAen6UVEo5\n6pEUKW1vp89Bxdqzx6yX0aM8iA47GhmhHMc5wxtIJqVS9l3usX5ZBVuOoi9h321poT3C0NDY/1bV\n1hagfOt/FjwpZcQZHqYKo86mRPU4JcUpwk7Q6J5SbnN7ECT3NUgopb29/MZ/hbVraVz7Aw+YnSPm\nIYNly2jz/q1vUaHApLI/b95oUmpyXyQNhACKIaVBIJN4yzjoqCyJt2xkMuszdt3aoq5HqleqTPZd\nKbVGSilNslea2HcB6sdXR50ppdSjuliwgCy7AJ1ZOns23xUmpZQ20r7LPUZJwr4LpK9NUmKSZE6T\nKEpyZxxMeFJaRBNu2iaJ+6GnfYFca1ua4lqEfVdZCOPXw12IAKrKJZFSbk/p3LmjSWl3N79yqPD6\n1wNf/zptAK64wiyGhz2CAHjjG2mwxhvfaBYjbt/t7qbphRzMmjV24AggdyQMdypn1kAW3aqyVKEr\nq7WgCKVUgty2tdVdH0kxqqpMlrHHycWgI11IDTqaOjWdlBahlAJU4Nu1i/7c0eGV0qpDneMNmPWT\nAjJKaVsbiS9xt5skKZVQSjn7ZBUnzX0hsW5LtTkUUZT0PaUol32XS0rTEi/npmxqoipY0vVw1JFJ\nk2izNTKSHEf3oW1uphsv/r64fQQAVeXiG36J6btdXeakdOlS4Ac/AL73Pb1zBD0ahz//c+Av/xJ4\nz3vMXh+375qQ0pkzx24OgWKUUiB7IItuAnd1FptrpVQigatBd0lTfMvk2uHGkZxx0EillHPQPdD4\nQUfc5zOpBz0M+ZbGtEFHpqR09276s1dKq49Vq2gQIwDs3cvvJwVklFIgWS0tGynl7JMBmZYASaW0\nLC4iyThZKMW2u2wfWFqcImwAWXE4FaAgSI/DtSglLSLcpAukK6W2PaU2pBSgA66vvdb89R4ymDcP\n+PjHzatvEkrptGl0r8f7OCVJKSfxpik6x4/zjpYp06AjyYFJWbMAbFVOqc1EUe6frDhFFBDScqNS\nYHSQpWpwcmzacyVxvujx43QtuuctAslnLB8+bGbfXb68Tkp37/ZKadURJaXbtgHnnMOPkUZKuUWP\npIGVZSOlXLdDWtG2jPZdKYXTk9IYpD6wRp/pI2nflSCl3ApQ1kPLefiTNtgmSmnSWWwmpDROPrq6\n+OTDY/wh3lNqQkqbmsZuNNWALoleM0mlVDfx5g1Pq/IQhqTrGR6m71GXFKTFKSIXlfEzbqRSapIb\nG6mUcjfGM2aMJaXc42CAximlmzYBq1fzY3iUB0uX0h5nYIBOCjj3XH6M2bPHnu3e18e/v5LmgnBz\nWlprS5Gk1Na+W7ZBR3lxOEVSiWJrFkpDSqU+sDL1lGbZdzlxpKrBaQ8t9+FPqo6ZKKVpg464CXzx\nYhqLrmCrlHqMD8TP6DMhpcBYC6/aZHKGL0kcCaPi2CbwvP5yCXJblNWpkcXEqveUlokkN3pqrlRP\nqYlSGs9p3H5SIJmU9vZSoY2L884DnnuO1sKhIRqU41FdtLTQ8Krt2+kM7/PO48dIUuIPHODfX0l7\nuKorpRL77fFqu50wSmmjFc4wlJkwJWm7dW3fBeRIaVLfTJFK6aJFRErV8CVPSj0AuqdbWur3mCkp\njQ874lp31bVIKaW2iTeLWEjFKWLQkeQsAAn7btqAurINqKi6UprWksLdiEr0lCbZd03WizPOoGFb\n0fdmQ0oPHADuuQe46CJ/Rul4wJVXAg8+SGd4X3QR//VJ9l2T+2s8klKJ4WmtrTS/JWmGi9Sgo7Kt\n/+OKlDb6AxscpJtEt08lq6dUquIuZVGyrSqPjND1cMjt9On2fQSA3JEwU6bQ9atFtrPT23c9aPMV\nta5JKaUmm8ykZ0YNQOH2lNom8Lb/v72zD+7rKu/891iW3+RXWbJkW36PHdvBdghJJpAJcdpk02QG\nQg2FLttJgB2WKSxsu9OWsoXyMvtHoF2GZToMMwWygSFkS5MNtGVoCJBJSUMIcUKc5oVgO3Fsy7Jl\nW5aV+EWSz/7x/E5/V1f3J/s+57m+Vz99PzMeyYr15Oqn8zvP+T5vZ4aUtMYOPSv6SpgQTLzYmdKJ\n/MiF2mlpEX+TdafsZM64Fh1AKOt+UatKhixRqvGNzo3PlmpFaUsLcPXVwCc/CdxwQ/7vJ9Xj+uuB\nz39eJu9q1kQIeoT3zvCwrFOL8l0rUWoVsM1T/QPYtASEGS5FziZgT2mBFP2ClREpD3YsyneL7CkN\nA1LyRE+zMqV5NxBgfKZ0dFQ2p7wOHJAS3v37xcbBg5wwSISkKN23T7cu0ut0YEAnStOH1bNn6/cZ\nXygWh/CJ7ju17E3NI26z9tvhYTlQW/SC5nmNJ9r/rexM1gj3RIekqmVK81b/WAwiy+op1QSxgLGi\n9PRp+ZM3YBv40IeAPXuA22/XfT+pFjt2yDnnwx/Wfb9zY7OlR4/K3/PeONCopzSvKG0UEJqsmdKJ\n7FRx/7/Y951OxPR4E/EU/YJZiUlNb5JV34yF420kSvPYABqX78ZmSsNhX3MVSxClCxdK5DDP60ua\nl1WrRJSOjEiJt2byZLp899gxmfichyxRqgnkWJU6hb0p/f/PM4nbSpRa7rdVC0qeOTP+NS5rQEWV\nxK3FMBFg4paUvPeLpn0aYNNTqvGNQH2A3+bN9SyptvT2Xe+SPTDPBGBSXTo6ZI3H/D47OmRdLV+u\n6ycF7DKlRYvSjo58dhqdt/NUWjXya1bVSGUNzMu6tz2vnYmofKa0SoMuNFHcIntT80aAsvrarESp\n9kqY5AI/ejT/YT/Q0yN3sO3ZA6xdq7NBmo/Vq4FXXpG10dWl2zTT5buadZpVvqsRpVmOd3hYSl1b\nW+PseG/jMIeH5eOFPo9Vz3wVK2UalQFbRaatMpyxh5vQPxX7O89bamc1UX7u3PH3LQLl9ZQCMheh\nt1c+15buJqEgbS5if5/Llo1dX3mEW6CRKM1bdjs8PL7VoRkypVl7d96AbdWCiVO+fLcMUVp0xjXP\ntQtA4xr3skRpo76ZvAfs9IZ29KhuYwRkmMNzz4koXbNGZ4M0H6tXy5qICVZkZUrb2/PZKDJTGt7D\nebIoWY73zBkRFRd62LFy3o3227ztCRPt2xZ2LMuALQYmWR4m8vT/TvQzXegatBKljezkzZTOmzde\nlHqvHwKY/H1ppu8CMiX30CH53EKUEpJk2TIpAQbKzZQ6l12pULV7Sq3Kd60GHeUJ2hZdjZp3mOxE\nTApRauUwY5/HqnzXyvHmfbNlRYPLLN9NZ0r7+/WZ0m3bgF/9Sv5s2aKzQZqPbduAnTvlSoRNm3Q2\nrDKlFqI0a0po3n0g2Ek7Xqt9qQznDUwcBCxj2rmFSD7fwKQqld1a/K7ylI8DjcvZNZnStE87e1YO\nzHkOWq2t8rMln0lzTykgojRksg4fliuuCLEiub4sM6WaYZVZZ8oqZkovtn+06uE/3/4fK26DINW0\n3qWptCgdGZEJYdMvsPO1aDFpVb5rdWjTiNIiy3djBx3FlO8GUfroo8CVV+pskOZj3Tp579x/v35d\npEWpJlM6e7Zs3KG0Fcg/2ROwew9n9c3kFQRWA9gmmnZuUS6lEUxWdooc5lOlgRllXeUyUT9abMBW\n49OA8QGogQHdgKKkaDh0iBPliS3JTGlvr+4avbQo9V7We94pvpNFlFoFWy2ulsnjZyfa/y3Ebd5Z\nABNRGVHayOnOmnXhJUFVy5RaNDoDdm+2trZqZUqXLJEIcCCmfLezU8ozd+4Err1WZ4M0H84BN98M\nPPIIcOutOhsdHbI2A5rgiXPj+0rzTvYEsssMNZnSrBIlq0iwRkwWLW6t7Fj4EavnqVJPkdWBLe8a\nbHT/r2b6rqUoTR7Ujx/PH8QCxvaUvvKKDG0jxIpk0OPVV3VDANOi9ORJ2QfyzDcAGovSi32Hd7Bj\n1ZYS69ecs/EjF0OUWg0XrYQoLTrCbSVKy8pwZpUo5R1KAhRbvqtx4G1t9b4dIK58FwC++13gySfz\nb4ikufnSl4CHHxYnrKGrS+44DWgypcD4DIrmPWPRewNkO/C8mdIZMyTze+7c2K9bDYTQlMsWWXZr\nVSkzmUWpVaB1It+Yx04jUZo3U9rWNr4XVPO+AsZfC6PdL5KiYd8+ilJiSzJTum+fjSg9flxmMOTF\nIlM6USm/RU+pppLIQkdYVBI12m+9zxdsrYQodc593TnX55x7JvG1Tzvn9jvndtb+/E7MQ1QpojyR\nnTKmbwHZjvf0aTkU5pnAZlX6lzVJVHtB+JIl9QN/TPkuIKWaV1yh/37SnHR0yGXjWrq66gNHAP06\nTYtSTe9NVmBJmylNO6m8WapGUdwyIspANct3q+LXQgtMVm+qxTTIMqt/LDKlra3yJ7kOrcp3taI0\nTJT3XjKlGtFASCN6ekSMAnpRmlUVUJYozTrfAtUs373Yfm2iFslp0/K1SE5U1WrBhWRK7wJwc8bX\nv+i9v6L254cxD1G1Q4BlOZnF4s6KAGkOoo3Kd/M63nnzssfeayYMdnXVS3hjyncJKYrOTjlYhr6O\ncNF4XrJ6zTS9N1mitIxMKdBY3E72XtAip/iW0VPa6HlGR+VgcqHDfKwObHPmNJ5waSFK82ZKgfHv\nLavy3WPHdAf19nb5nfX2yl3LFKXEkp4eWePHjskd3j09+W1YZUobXZmWx69lnW8B21kJZdixCNpW\nTWNNxHlFqff+ZwCOZ/wn5TXO4yn6BSsjXQ40jgZbOF6NKC1q0JH3+s0o2Vd6+DBFKake06eLeOzv\nl1JV7fh8C1HaqHw3716QNSAm774E2IhSq+Bd1Rxv0b2pFq9z+Jnyzm1IX1FjEWgF8h8gwwCx9CAQ\nTaAm/d7Slu+2t8tBP6DNlALA5s3AQw/J74i+kVjiHLBxI/CP/yj9y3n3fkB82tBQ/f1nlSkdHc03\nFRZofNdwFXtKL7Zfq5pvnIiYntKPOOeeds59zTmnmC1Xp2ovmNUhoFE0WNM3Y5EpLaqn9NQpKSPW\nLMpk+a42WkdI0XR3yzrt75f1r1nr6QoDzVROq/LdRoGusjKlRV4zUqadKvm1rIx03t9VS4v8SU6R\n1tiZOTNbTGpKyLMCLGVmSjs7ZZ8A5OcbHMwffAps3gzcfTewdavu+wmZiMsui1tfLS2ytkMQxkqU\nau7enjGjfl9mkjKvhCmqUia0YVzo/JSJgolVE6UXWEk8jq8A+Jz33jvn/ieALwL4z43+8Wc+85l/\n/3z79u3Yvn37mP9eNTFpWaKUFQ3W2LHIlDYq3807Cjy9gRw/rne6IVPqvTTdL1+us0NIkYRhR6Oj\nMiBCQ1ZPqUX5riawlFU1YdmbWkZliuUh4HhGbVAVRWns66w5TIQKoGTJb97fuXN1O0nhFxNgSd4F\nqs2UpkWpJlPa0SEBVkDe4/Pn55v9kOSmm4CvfhX4q7/SfT8hE3HTTcAf/AHwN3+jt7Fkidxz2tlp\nJ0o18xacq+8FYW/yXld9YVHFYVm+G7tvJ2cKJIWsRWDz4Ycfxte//jAOHAASUk+NSpR6748k/vq3\nAP5hon//mfM8aRUjylZXuTQSpZO9fHdoSN7wzuk3IkAO+7t3S2S5rS1/poaQi0EYdnT2rD5wku6b\n0ZbvFpUptSzfLauHv1FQMk+/exX9UaOfK/Z58vo0oF4BlDw0au28/vp4UZrXTnotj45KJjfvvXnp\n8t3BQd39oh0dcmc2EFe6CwBvexvw5S8Dt9+ut0FII971LpmRcMcdehudnZJY2LxZn6CYN2/sMEHt\ney/4x3AePXtWAkJ5bmTI8o1hSm2sKB0ZEVsXOlgo2Mnat/MGE4OdGFGa5UO2b9+OwcHtOHFCROln\nP/vZfA+W4kLLdx0SPaTOuWRubQeAZ2Meomq9NxP1gpbRN2M16MiqfHf6dHn+4MA1h+vAmjXAnj3A\n/v0s3SXVZfVqYO9eyYDEiFKL8t3YgRCAXfluVuCtrAxn1cSk5cAkqymOsVltIPt3HiNK03Zig63B\nN+Yp/QPGVyFo3p+AHNKP1ML22iFHgdZW4KMf1T0HIedj5kzgYx/TlakHQqYUsM2UJisfLpRGe0Ee\nsnxjEHPTcjQ8Zu3bYZ/MszdNNAsgDxYZ10r0lDrn7gHwrwA2OOf2OefeD+ALzrlnnHNPA7gewB/H\nPER40dP1zlYZzrx2Jspw5rGT1VOquV/UKlPaqHxXU6K0eLFE2IC4TOn69cBLL3G6IKnrt22NAAAg\nAElEQVQ2GzYAv/513DpdtGjsABRN+W4I0iX7Zk6ezO/ArTKljYRFnv2ttVUiyBb3nTZjL2ijqbl5\ns4FZwVbNYaJRkNRClFocIrU+LR201bw/AcmUhp7S2Lu3Cak6ySDM4cNSVZQXi/JdYPwZV7OfWPg0\nwC4I2EhMWtmZdKLUe/9e7/0y7/1M7/1K7/1d3vvbvfdbvfeXe+/f4b3vO5+diWhpkexbeniCRkxa\nZTiz7ORdCFmL++xZOYTl6TGxzJSmD6Lavpn29rooHRjQi9K1a+WOrF27pPyDkCoSROnzzwObNuls\ndHTU3zOAvsIgfXgeHLQRpVbCQtNfWLTDLGuKb1EiOVwHkyfinuUftZlSCztWh7/0Wtb4RmB8FYJF\nprS3F1i6NL8NQiYLyRsUDh3KP6MEsBOlad9o2dpisU9qxFuWuJ3SmdKLhcUL1kiUliVurcqcLHtK\n05lSbe1+OlOqLd+dNQtYsQL4zneAN7xBZ4OQotm4EXjhBeCJJ4AtW3Q2Fi+uZ1AA/aG3KFGqyZRm\nTQbXRoOzHHizXgkTa0cTKW90SKqKmATKzZRmHYxjM6W9vfrBaIRMBtJBGAtRqvFpwPjEi2YKt5Uo\ntdonG80CoCgtmCJFaZV6Ssssc8oama2t3U+K0phMKQDceKMc+G+8UW+DkCJZtEh6SXt7gUsv1dlI\nHlbPnJESTM1gr6yBLHnfw40GJmn2JisHnpV9K6N9w7KHs6jBe5pDSaMgqXb6btpOVcp3tZnSBQvE\nHwZigkYjI/IcBw9SlJLmJnmDQtmZ0nT57smT+YbcBRsW+1LW/qYJAlplSi3stLRIdU64kiaQd07C\nRFRalOb9QWfNEsGV7k3KuxAm6imNLQPWZiMsIsrA+EiS9s1vlSkFgM9+FvjBD1jmRKrNffcBjz2W\nf4BKIClKQx+2xlZ6IIvW8Valp7SRnbIypZNh8FLMVS5JyswAFJVx1WRHAGlJie35BuQ93dMDvPoq\ny3dJ87N0qQwAPHlS1n5eXwSMDwhZDTrS+MZw/k/OuNHuS1ZBwCwxWUZPqaWdRlRalOb9QUNvUmxU\nuVFPqUWmNMZ5J98kMaI0XfqnFaXBgR89GjfMYckS4JZb9N9PyMVg82bg6qv1358UpYcPy7rXUFT5\nrmWpk2Z4TpUypUWJyXC1QOxUeatstKW4tQhoWGRKNYO/ABGlyftptZlSQGYl7Nkjh3VmSkkzs26d\nXOt34IA+AJMOCMVeCRPQiNKWlvHtJGUG3RpNuC9LTDayk/cKrkZURpRapagt+mZmzJD09Ojo2K/n\nPSRlRVw0JXItLfJMydfHYphDmHisWUzJTKm2ZIOQqcScOfXLvPv6dFMKAZvy3SwxqXHgRWdK8wYT\nsypcqjSgKAy6y3O1QJG+sWqZUgtRqu1Hs5iOHVi7Vq6Q+s1v5NBOSLOydKn4jqeeAi65RGejrU3O\n3GGfi8mUxorS8DzJvaksn9bIjlXbRZmDlxoxJURp3l+gc/LvY8VtuLQ3eTDRRJSB8QtTK0oXLqyX\nSYTSXU0JIUUpIflwrp4tjcmUpst3rUTp0FD+++qySpSshufktdPaKqI/PcVdE0zMEqV520ksr2Cx\nGFBU9em7586JaM8bJLUSpclM6blzejuA3L/9+OOyHjs7dTYImQw4J0GYH/5QrvjT2kieKWN6SmPL\nd4HxsxLKzpQWVeFCUToBVlEFqwmDaTvBYcZGOTSLEsh+s2kuPF64sO54tSUSwNhJon19FKWEXAhB\nlPb16UXp/Pn1wNK5c7Iv5N0Lsq6H0mZKrcbnW0SDLUpUrTKuloeJKkXKLTOlWQe/vEFSq/LdZKZ0\naEieb/r0/HYA4IorgG9+Uz5qe9AJmSxcfjnwrW8BV16pt5Es4bW6Eka7F6T3FE3AtkpVRMFOUf6o\nKUVpkdEAi8NNqJnO62DSdrSiNL0wYxzvwIB8ri2RAOqDHEZGZCNhNJiQ89PVJcNPYsp3Fy2qB5Ze\ne032kzz3HgP1fSk5FK6KjreMqHKRV4tpphQWFWgFqpUp1VYRWWZKw6E4pp8UAK69Vj6+8516G4RM\nFnbskI833aS3kcyU9vdLADcvluW7RYjSsitlqiRuG6GMA9pTdIo61vFqxWR6IWjLbq3KEqwypatW\nAa+8IvdTtbfnPxQTMhVZvRp4+eW4q2Xa2+WqCUB/AJ82rT7MIdzpaDXFV3NPpFXfjIW4zfIho6Py\nJ0/mrMjyXcurXPL2Tc6ZU7+XMGlHI0qTdjTzFgBZ/4OD9b8PDuqGC82fLz/H8LA8V0ygNfzOrA5q\nhFSZHTvi13tSlGrff1nn5LVrdXaSfkQrSouqIrLURnmHlFr5tUZUJlNa9GTA2BS1VYbTys7goE6U\npjOlWlE6f770cP3yl3LQJoScnzVrZADK3r06ZwmMzejE9L0VFQ3WitKq9M1MlOHMUyljeZgo8lBi\nJZJjr0yIaUkJPg3QvyecE384MBBXyRCgICVTidj13t4uovTcOfmozZQmhwBa9ZRaVhGVNeioStVI\nE1EZUVq047XIlGpe9CJ7SjWON5kpjSnfBSRb+uMf6yeuETLVCKJ0zx69KE32vsW8h5N7ysiICC/N\n5NP0vl3FMmDNPaXJ0uaye3iKKt+y7P+N/V1pD5DpOw5jAjUh4BMziIwQkp9wzeDAgPiVGTPy28ja\nC8oq3w37dvr2jckcsA122FMaaceqp1Sb4Uza0V7sbRUBSvajxThvANi0CbjnHmDjRr0NQqYSGzYA\njzwiTm75cp2NZKb02DH9HcFJxxuym5qe+azy3bL6b9L7v/f5J7qG0ubkhMGyM5NFDTqyuu/UQpQO\nDelbUiwypYBkZw4flj+xmVJCyIUTyndjSueTlYCA3ZUwGlGadZWjpoqokQgsK8OZtf9rZiU0ojKi\ntFE0IO94eIurXIDiyne1jtcqApR04EeP6g+0AHDddbKBbN+ut0HIVGLLFhnisG2bvg87eXWFdiAE\nMHYCb0yZU3J/Gx21y75ZOPAzZ+RgkFdspx142ZHpogYdWU4DLitTailKe3qAAweYKSXkYtPdLbMW\nYkRpshIQKHfQETB+j7Oct5BXGxV9w0lTDjoq4gXT3n1W1KCjoSHdGy4pSr3XZSOAsZnSw4eByy7L\nbyNwxx3y84VJg4SQiWlpAX70o7grlJLlu/39+sBSsvpC63TTzjsMcpuWM9w5Z4708QXOnpWPeUu4\nsipcYtouwmurCZA2ct6aw0QR1T/BTqyY9N7mSpiY8t2BAXkO5+JE6YoVMlW+rw/YulVngxCSn5Ur\nZXhmb6/ePybPt0C5PaXBTtKPDA3ZlO9qJpVPlvLdSonSdBmYhSg9c0Z3lYuVKM2KBmsWd1KUvvaa\nvC6aO9SS5Q1HjsRFg+fOBT7wAf33EzIVufHGuO9Plu/GZEqTGSarTKkmEmxpJ2vauTaYaJEpff31\nuliKtZPk9On8Q+qKuhLmzBnxRa2t+ezMmze+JUXjG2fNkiBIyB7HZkr37pUJ2StX6mwQQvITbnR4\n+WX98Mw5c+rzEWbO1O8FVpnSdBmwJplkVUXUKFNqFWxtuvJdy6m5VRpQlFW+GytKtaW7gIjS2LHb\nhJDymD1bRM6pU/ophcDYAJVVeVKZZU7BTnL/1wyWAGxEaWuriKXh4Tg7VSvftfqdp69y0QZGgLEB\nlhj/GDKlu3cD69bpbBBC8tPTAxw6JO+9Vat0NpyrZ0u9189csOgpBYor39W2tqT3f80VlVatlo2o\njCjN+kE1B4qsw4RFpDxmUVqVKAVRGuO8u7ulNMl7ilJCJivt7ZIlrUKm9NSp+qRaKzFplSnVDpZL\n7/8xz5MWyRaHgDIHHVn5xvSchBi/Fkp4T52SvmbN7xyQu4MffVSeSzuIjBCSn9ZWec898IAM0dQS\nROnQkLR/aMTS3Lny/YGyRWkR2ijYsSgD1gZ/s6iMKM1KUVu88NpMadahRBsNTpYoWThw7XUwgPxc\nbW1ymKUoJWRy0tMD7N8v72ErUarZl9KTapslU5p+Ho3zBrJFaZWmL2pFskUWYd48yWqGKxO0QwAB\nWcsnTkjlQGdn/nadwObN8p7ati1/XzQhJI43v1mSJlddpbcRhh0dPSrBWw3pgJllJZF2/09eLaMJ\ntmZlXK38kdY/ZlGpntK0w9S88LNnjx2YETOgyCIaPH++1MnH2rEq3wWAZcukbv/Eibjpu4SQclix\nAti3T4RpT4/OxsKFwAsvyOcDA/J3DaHUac4c/f6W1QuqFYFFZEq1z5MltvPaaW2VA8nISH2OgFWm\n1OJOWe3vfOZMGfwVBLZF+e7MmfogDSDP8+1v6+8QJoTo+Yu/AK6/XrKdWkJbysyZ+vNteqK3ZbA1\nr53WVgmyDQ/XB/9Zle9qNVbSzujo2GeLpTKiNB3hHh6WHzbvD2pVdjVnztgpXpoIB2DXN5MWpTH3\niy5fDjz2mIhTzbAkQki5hEmFBw7EidLgeI8d00eV29pkX+voKH/Q0Zw59SFQgF1PqWX5bt7937m6\nnfC9VqJU83NZlbYBdb9mIUqPHRNRGSNKAeC97437fkKIjssui7sRAqiX77a26kWpZaY02b4X60eC\nHrIs3421EwK22uqUNJUpUMkqu9X8oLNnj72stuwBHukJgxaZUm3zdqCnB3jkEWDNGr0NQkh5rFgB\nPP64HMa1U++SovT4cZtSp7LLdy0zpUWV71plgPO+zrNmyVTK0VH5u/f6Q8nwcH2AU4woTQZttSXk\nQH1WQkyPNSFk8hOm0x89apMpDQkyTW9qkdPprcp3Y2ccWPaTAhUTpelDQJkR7nQ0OKan1DpTGnM3\nIQBs2QLcd19cMzkhpDwuvRS4//64uxSTF43HZErT11WVfSWMVU+plZgs4nk0r49zIkxD0DZE3lta\n8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "t150to200 = np.arange(15001,20001)\n", "syn150to200 = 20 + (10. * np.sin(t150to200 * (2*np.pi)/100.)) * (1*np.cos(t150to200 * (2*np.pi)/5000.))\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t150to200/100., syn150to200)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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G4B5XUViYOc/RhKDumjYLuiCnVbsiu3dHx0giPThqRqsmbH6sqcsKpMaJeN93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\nfqXBjjPPTB/8pysNdq4rqBnT+vX2AMd58BAkXXlwlG672aiWAKxyY82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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "t200to250 = np.arange(20001,25001)\n", "syn200to250 = 20 + ((10. * np.sin(t200to250 * (2*np.pi)/100.)) * (1*np.cos(t200to250 * (2*np.pi)/5000.)) + \n", " 20*np.sin(t200to250 * (2*np.pi)/5000.) )\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t200to250/100., syn200to250)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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uoGleXkrRevnlfmVIF9C8epoTO+wQt9/229vXhQhF05znPBZe2H/bGPd113bq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "t250to300 = np.arange(25001,30001)\n", "np.random.seed(123456789)\n", "syn250to300 = 20 + ((10. * np.sin(t250to300 * (2*np.pi)/100.)) * (1*np.cos(t250to300 * (2*np.pi)/5000.)) + \n", " 20*np.sin(t250to300 * (2*np.pi)/5000.) ) + 5 * np.random.randn(5000)\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t250to300/100., syn250to300)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GeGGMUE6rmxsb8rpKO6koE++roijZ41OfAk46iewk0drV5RetLBY5XBewlX2/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# all 300 \"days\n", "t000to300 = np.concatenate((t000to050,t050to100,t100to150,t150to200,t200to250, t250to300))\n", "syn000to300 = np.concatenate((syn000to050,syn050to100,syn100to150,syn150to200,syn200to250, syn250to300))\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t000to300/100., syn000to300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Apply SqDist Algorithm](#SqDist-Algorithm---Contents:)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# set up Holt-Winters smoothing parameters\n", "m = 100 # length of \"day\"\n", "alpha = 1./100./3. # average age of level is 3 \"days\"\n", "beta = 0 # slope doesn't change\n", "gamma = 1./100.*100./3. # average age of \"seasonal\" correction is e \"days\"\n", "phi = 1 # don't dampen the slope\n", "\n", "# initialize states for HW smoother\n", "l0 = None # this uses algorithm's default initial level\n", "b0 = 0 # this is NOT the algorithm's default initial slope\n", "s0 = None # this uses algorithm's default initial \"seasonal\" correction\n", "sigma0 = [np.var(syn000to050)] # this is NOT the algorithm's default initial standard deviation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### First 50 \"days\"\n", "\n", "Items to note:\n", "\n", "- SQ+SV (green) gradually grows from zero to match the repeating signal;\n", "- SV (red) has non-zero values because SQ has not yet adjusted to its full amplitude;\n", "- SQ is adjusted by exponential smoothing with a lag of length m; HOWEVER, \n", "- the SQ is also adjusted to enforce a zero-mean seasonal correction, which is why\n", " there is obvious non-zero SQ in the first m steps" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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OaCtYfB9Y6lc4do7RUfu4iWiJ4VU4hiX1AQC23MdVQPPDhiawL6FR9HFB7MzG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tb/Z2Lha86OIcU554daNH6COnAI4mLuvJXtGG60kPExyc2JCGxzolLjnAH0IKqxN/GQ4ck4dx7y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\nGMHN5nj3co6WCObdEZbhHGf2HD1RzF2GOXX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# first 50 \"days\"\n", "\n", "# instantiate SqDistAlgorithm object\n", "SqDist_syn = SqDistAlgorithm(m=m, alpha=alpha, beta=beta, gamma=gamma, phi=phi,\n", " yhat0=None, s0=s0, l0=l0, b0=b0, sigma0=sigma0)\n", "\n", "# define input stream\n", "yobs_syn = Stream()\n", "yobs_syn += Trace(syn000to050)\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_syn.process(yobs_syn)\n", "\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t000to050/100., yobs_syn[0].data, color='blue')\n", "plt.plot(t000to050/100., SvSqDistStream[1].data + SvSqDistStream[2].data, color='green')\n", "plt.plot(t000to050/100., SvSqDistStream[2].data, color='red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### next 50 \"days\"\n", "\n", "Items to note:\n", "\n", "- SV (red) gradually adjusts to the new baseline level\n", "- SV does not adjust for a brief interval after the change in baseline level because\n", " the standard deviation of DIST had shrunk to a point where the new offset data points\n", " were treated as bad data; once the standard deviation of DIST increased to a critical\n", " level, new data were treated as valid, and the baseline level adjusted\n", "- the \"hiccup\" in SQ is expected; it is ~1/3 the residual at the point the data became\n", " valid again; it gradually smooths out because it doesn't exist in the actual data" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dxgEl8yxiONkKDAIWeubVjnXupGR+MyaBq9sR8NgBAOZKGJdpmG9FYaurr+Xk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lpwV8UlVn+3oce8nLP35GiNEmDehyVUy5SYZyf2Kn1rHKikX/mswdwW69InUJljbK36YqzLJKNj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\nbvAM05nJ7WSzQ82XJrmWmO5Mc+0M37g6yVJumrODc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "\n", "# define input stream\n", "yobs_syn = Stream()\n", "yobs_syn += Trace(syn050to100)\n", "yobs_syn[0].stats.starttime = SqDist_syn.next_starttime\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_syn.process(yobs_syn)\n", "\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t050to100/100., yobs_syn[0].data, color='blue')\n", "plt.plot(t050to100/100., SvSqDistStream[1].data + SvSqDistStream[2].data, color='green')\n", "plt.plot(t050to100/100., SvSqDistStream[2].data, color='red')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Next 50 \"days\"\n", "\n", "Items to note:\n", "\n", "- SV (red) tracks changing baseline level on which SQ variation is superimposed with a lag\n", "- SQ (orange) remains more-or-less steady" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5M/W6TG+ZkLaa0NATMnKJ7fgUG7Z0G9GZaBkdFXuqsOPvAh0eL+Pp8pHWqdkp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IAAAg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GEk0KvaEumt0p+keXga19PqJRaKmLkiqV3QHga6bXF+T52TEKGa3Ds1He6K9Scmbv8EMoMsb4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\nIL3wkFHYTJynlUvVzg3vxsJZqXiZxeHKRAH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "\n", "# define input stream\n", "yobs_syn = Stream()\n", "yobs_syn += Trace(syn100to150)\n", "yobs_syn[0].stats.starttime = SqDist_syn.next_starttime\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_syn.process(yobs_syn)\n", "\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t100to150/100., yobs_syn[0].data, color='blue')\n", "plt.plot(t100to150/100., SvSqDistStream[1].data + SvSqDistStream[2].data, color='green')\n", "plt.plot(t100to150/100., SvSqDistStream[2].data, color='red')\n", "plt.plot(t100to150/100., SvSqDistStream[1].data, color='orange')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Next 50 \"days\"\n", "\n", "Items to note:\n", "\n", "- SQ+SV (green) tracks sine wave modulated signal with lag\n", "- SV (red) is mostly the expected steady value, but erroneous oscillations tend to\n", " amplify when the relative amplitudes of SQ and the carrier signal differ substantially" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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azuafEM6NlQosdk8w5lXUQ5IkEewaJLIodk9JJoGeCIGLvBH85n4ipd8y0ro8\nz3o0dpTtvu1sdm8mwWlVpLXeGcFvWX1QsBt9hHNikqNwJoHV0ExaLQYn4YxoFTiB29wcx1R3MRUV\ni5MsJwj0rD5s9PdL6BbdJEticaKFOEPe1TjDPjfpinjJZiEfJRv2MTQEu3ZB9LyfaFF8EjtSiOA0\nBnnb2+Dhh9VLhM+lzq10Woftw6pnYw+GDrLOuY4XrHsBk+lJTSKs4Yrj8cfhLW9B2NTnYhw5osyh\nBgJgMKjrbM7NKcYQyxgeVkdaL60m+/0I72yLxcDjqzEeGedZ/c9ib+9esj2PquqQNqwzqyY4jmFK\nHeKkdS4VoUfnRScp6XHANkDJNEsyKVYdSFejBKyrucjd5aZuTBNPinkjLOqaO6TuLjeY40I/V6UC\nsjnOcNP930XNJPYmnwvH0S26MRhWj/U53RTqYm/y5EIcY9WNXr96zGV2EyuInc9cKoZc8KyYHdrt\nQMnNbFIsTrwYZzHpXZljGx6GzrpH6eQKIFqIUk37eNaz4DWvgbMH+1XltMn05IrrNFwgrSo6rflK\nnmQpyYBtgJ2BnWsirftn93PbXbfx+u+/XnUMDRqeDPfcAx/8oNJtPX1aXYxz51YNlEZH1ZHWUGjV\npwGUPKtmD2k4DJ5AhTv33Um+mufn8a8Jz5ACRONLzJWUNVp+i58GS8LNpngczL4Q/dbVH6zfOkhi\nSeyekkhA3bzQxLECll6SNXWmdWpwVZDWZefgM4kzbPJsYtQ5Srw+KSwPTiSgakgoSf0CPGY/8ZIY\noYrkEthMzfJgu8lFLC92oaQXE3h7muN0SS7mE2JxMrU4vY7Vn8nrhUbRRbIsGKcaZ9izWrHf0O8i\nX08IS6Ai+Rijfi96veKsFpvyCMuxQCGt++/1c/fd8OY3w4BVnQTqbPLsSqd1yD7EVFp8FyLAsdgx\ndgd2Y9Kb2OnfyePhx1XFAcWQQ7RKr+GZjz//c8Xd8HOfUx9jmbSCkqDPqViTfClp7etTZ6C03Gn9\n7IHP8qMzP8LnE0/w0ShYh8/Sb+un29TNdb3XETc9LpzgYzGodM4wYFNayMP2YbLSlDD5DecXcHes\nVpItJgtGOpkXTEi5RoQBx2pyN+gMGBs2ZuPtx6nXoWaKMeJbvW9bTBbQ1QnF2h8AC0UXwVDF1mld\nOTbkdSN3JqkKePNMLMQx1jxNx/rdLsqCHdupWAKz3BzHa3GRFpQZT8XidONd8XuQJLAa3JyPiP3S\no4UYuYgHdrsuAAAgAElEQVR3Zafi0BDoFj3CHdtIIUI+4uOWW+Dmm2H8oSCRgvgTbygXot+6+gEd\ntKvrtC6PzugkHSOOEeZz89TqgjugLuAr41/h7277O/bP7SdaeArtQjU845HJKHlg0ya48ca1jb0s\nqy7WrVNnVDg/f3n1kGj3NxqFePf9bPVt5f03vZ8H5n9KrSbuHRFdnMXT5aHb1I0kSax3raNgnBAy\n9IvHweQMr6hQAda5hshK00LnEovXqRrj+CyrYy9Bm5fskgo2rhJrJq2SJPVJkvRLSZJOSpJ0TJKk\n/3nh+IckSZqXJOnQha8XPlmMVAqcTsXgp9/az6hjlHB5kmRSTPoWTzSo6DI4zc6VY36Ln5SgaVGi\nmGwivgAus4uEYGczW0s0kU2AHr1LuGNbbCSaOqQWC1B2EUq3H0eWZQpynBH/RbOxQ10g6ynW2rdY\nW2oska9m2DykkHGbDTrqHsKCRhwNuUGsGOOeb3v54heVAXxTNaAqwV/s1hjoCaiejT0RO7EyD3eN\n9xpOxk8Kx1jG2+95O46POzibVOGVruEZielpJYn++7/D3SrV55mMkvSWu5sbNqiz47+UtAYC4qS1\nXlfkQuerj/KhfR/i9d9/Pd2ujLA8OBoFU/9Rtvm2AbDRvZGEfEaVPLign10ZOXB3ualTZSEtppiI\nL4bxdwebjvXovYQyYtquohRh0O1rOtaNh7lU+/fKTAYkS5yAdfW+LUkSpiU3MwLznxPhOIaqe0Vu\nCigE1rBIOFZpO850LI5Zbs5pI343VYNghzQRp0fXTFqDdjcZQZnxbDKOzdgcx97hJpQWNE1MxOhq\neOm+oHoeHoZ63i1cjI0Wo2RDfrZuVVQHXTo7pVqJylL77zEohk4BS4BSSVFlDNmHmM5OC8UAOJ04\nzUb3RkAxlAz2BFXPxv5y+pe8cvMruWngJh6ceVBVDA3PTKRSCBW/LsX4uFKI1ethzx544gnxGLKs\nkNblsZfhYSXnio7PXOyID8rKmp4e8W0mqRTMyA9x+9DtPGvgWeyf24/b0xAqxpZKUOueZsQ5vHJs\nvWs93QPnhM4nFgPJuur3AzDqGaBqnhX6vc0mEnTIthWTWoB+p5ei/DQircAS8G5ZljcDNwDvkCRp\n44X/9ylZlndd+PrpkwXIZKDLkafWqGHvtDPqHGUqO4leL2ZZHU5m6ZC6MeqNK8eCNi/ZhthTVLqS\nwGtp7pB6LC4yFbGrtign6Hc1J3h7h4tIToy0XurWKEnQWXczFW0/MReqBZB1DAa7Vo719YGhIjb/\nkygl6JSdbBxb1XUNeTxE82IXbaqcoqejh0MHTdxyi2Isk5rzCVdw64068WJ8Ra6wbFqhRiJ8MrFq\n4rLJvUk1aU2UEnzj+Dd4x5538IWDX1AVQ8MzDw8/DM9+Ntx0kzJ7o0YiPD2tJONl7rF+/ZUhrcEg\nwqth0mmwWuG7p77Fu/a+i5sHb+a87qeq5MG4z67Moo65xwhXzhAXtNGPJMtUyK047UqSRMA8TLg0\nLRQnW18gaA00HXOafETy7ZPWpSWodUQZ8fqbjlv1HiGn3XhcRjbH8XQ1EzOzLCaBPR+L01FvjiFJ\nEvqqk8lw+/loPpVoIZujARd1U1JIsRPOxrGbmuP0OV0UG6K+EfEmk0IAt9lNNCcuM3abV7vZw8Ow\nmBTvtEaLUWLnfStzdVs2S1j14jLjhcIC3q4A27YphSmXUZ2h08UmhQAjjhFVK+GSpSTJUpL1rvXc\nMngLD80+JBxDwzMTMzPgcsEdd6iPceiQ4tMASrdVjTw4k1F8Y+yKITlWq5InczmxOMsjL0uNpZWm\ng9+vLj9OV8fZFdhFsCdIt7Eb29B5oWJsPA6WvumVpgzAqGOUDv+kUJx0GpbMoSbSGrD46XBGhcjv\nbDqCTdecGwfdXhYNMVXeGmqwZtIqy3JEluXDF74vAKeA5R609KR/8SJkMoBV6bJKkkRvj7I/1OmS\nhd7QhVwCq7GZbAYdLooNQVnXUoKgvZlsBmwucjVBsqlLNJFNEO/YlmtlGtQYDvY0He/WuZiNtx8n\nXopjqHia9kb5fEBJjLTGijGMNe+KHTjAhl4PqYpYUo4UIjgMfnp7lW7tjTdCfMpLrCTWzYgVYzjN\nzqZCxZB9SB1pjV9EWj2bOJU4JRwD4JdTv+TZg8/mj3b+EfdO3qsqhoZnHn71K2W3amenUlV+XIX6\nfGpKkS4uY2hInUnE/PzaO62plPKw8oupX/Ci9S/iOcPP4WRpn3CnNRaDJcuqk7jT7KTD0CGsulgo\nzeIy9a3MogL4u4PEy2JPGwVpgX57c2J2m70kyu3/YKkU6G0RgtZm0mo3eYgV2r9XzkSz6BtmOgwd\nTcctOjdhgW7iXCJBN56W4x11sY5tONva2fQ6O6FhJJkvtB0nWojjukTNNOR1U5bEDZS8lktlxm7h\n0ZloPoavZ5W0er1Qz3mYFzRxDGUjFKK+lc/oli3QseQlVhTLawuFBeZOBfB64dpr4fDD6nwj5nJz\nK3J5gBG7OtJ6aOGQskJK0rHDv4Oj0aPCMZaRKCV4z8/ew2RKxcChhqsOX/mKshf16FGlGKsGp0+v\nGiht3KiOtF5qLgio2ve97LHz3vvey9jnx/jeye+pmmtNpeBc7jA7Awob3+LdQkfvKaFOazIJJm8z\nae239qN3hIRIayYDi6bmTqvP4kNvE1sJGs4t4DA157SA1YPOEhMuDqjFFZ1plSRpCNgBHLhw6O2S\nJB2WJOlfJUmyPdnfy2RgqWuOvgtDwmajGbPBjM2XFnpDk6Ukzo7mRNjrcLFkSAm1wItykj5nM/lV\nsx5gyZRgfW/z+XgE53YSpQSU3fj9zfzfahCTGceLceSiF/9F15vfD0t5cdIqlbxN8omxEQv1Rp1S\nrf0Zq0ghgqnmZ/du5fW2bRCeEO+0hvPKBzGTgb//e0VqGOgJsFAQe1At1UpkFjMrmv9RxyhTGXWz\nsQfmD3BD3w3s8O8gVoyxkBdfK6Th6kIqpVxfaqzml3Hs2Go1eetWxeJfFNPTzaS1v1+djX40eqFo\ndQFqOq3JJDg8ZSZSE2zzbePmgZs5kvqVsnNVYP4nmYSC6fyKgRIoD9fJpWmh80lU5wiY+5uO9Vr9\nZJbEnjYWDQsMu5vlwf4eH+lq+8QjkwG6o037VQHcXR4SZQHSmojRUfe2HLeZ3ETy7V+M4Wwcq76V\ntJpxMSfQsY0VErjMzblRkkBXcTG50H4+SpUT+CyXyIwDLmoGsY5tqtLsiA8XZMZVsQ9qYjHGgHP1\nfZYksBrdzCQESWsmyojXh+7Ck9XYGEhlcc+HhfwCJx4N8KpXwSteAQfv9xMpRIT9J+Zz8yvPVaB0\nWtWQxcORw+z0Kzeva7zXcDx2XPhclvGh+z/Ed09+lz/78Z+p+vsari58//uK6diLXww/+5m6GOfP\nK8ZJoBDNfF7ZCSqCi6XBywgG1ZHWLnuerx7+Kl940Rf4zIHPqDIYTBZyFJdyK7Ppm9ybwHNSiLSm\n04C9mbT2WfvAOi/0LBJLl6hL5abRSV+3DywRMY5VieAxN5NWb7cXXY+YMeBacMVIqyRJFuC7wJ9f\n6Lh+ARiVZXkHEAE+9WR/d//+O3n4Z/9E4scJ9u3bByizqBa/2BuaqSZxXpJQXV1OjNaUUMe2ok/Q\n725OqAMeF4u69k+mUqshG0oMB5q5etAu1rGNFVLIJUfTagBQ1gOISKDixQRLWXdTp9VqBbkoNv8T\nLUSpZ31Ng+pDgxIddbHEHClEkPP+FUOZLVtg/rR4RXqZtH7gA/CP/wh/9mcQsIjPxs5llaLJ8sxX\nn7WPSCHCUkNg2v0CHg09yt6+vegk3ZrXDJRrZXKVp6iEpeFJ8b73wac/DX/xF+pjnD6tSJ9AWYB+\n/Lh4jGV58DLU7H5rNBQS7nbDJ3/1Sd5733txOmUKBVgU2KKVTIKh9ygb3RvpMHSw2bOZifQ5zJaa\n0ANHOg0ZVjutAMPOASqds1QERgEzS9EmV0OAAaefvNz+vWBxERqWMAPO5k5rr81Lrt7+vSmdlqmb\nUi0Ez2fxkKm2f58MZeJ0ya1k09nhJiEgOU2WUi0qJIAenZtwpv37f6aSxtXlbDluWhIzP8rV0gQd\nzXEGAl3IsiRU/CzUk/S7m3+ufpebfF2MtOaWYgx5mosDzg6P0HsjyzLJxSjrLqoMDw1BPaeu03ry\nQIAbboBbboH991uAC2M+AriUtA7aB5nNiUszJlITKzJjX7dS7VLT+a3Va3z75Lf52et/xqPzj6oy\ncNRw9aBQUBx69+xRRrzuv19dnMlJVnYtS5LyuZkRHL0Oh5sNlEBdpzWZhJDhQXb4d/DHO/+Y8YVx\nnP68UFG3XIYlq+IAvvxMucm9iYr1tDBprVtmGLQNrhzrs/ZR7RQjraFcGKsUbPI08Fv8LHWKdVoz\ntSjermafBm+3F7kr9qQca9++fdx5550rX2vFFSGtkiQZUAjr12RZ/gGALMtxebUU9y/Anif7+319\nd7L5jt285C0v4dZbbwWUblmHa0GIbObrCTyXzKI6zU70Pcm2fzGyDEvGJIOe5jjDvuUqcHtx5uJZ\npIoNk6m5Q9rndFEU6NjORDIYlxxNqwEA3N1iMuNQOo2u6lgxmgDl5tAtuZmOCZDfUpxy0tPUae3t\nBf2i2NxOpBChlvavuDV2d4O3y0c4J5YIQ/kQvq4g3/ymcsO87z6w6wPC3c3Z7GyTjMqoN+Lr9gnv\njW3IDQ5HDnNt8FoAtvu2cySiYsM1yt7YPf+yh/5P92tujb9BFIvwzW8qM6l33y02Z7+MRAJqtdXu\n5qZNyiJ0UUxPr7ojgiLrjceV2O0im1U+b+cyJ/n4/o9z9+m7+cnEj4XndlIpqHvHVzowZqOZAdsA\n1uEzQokwkSlTlJNN0qV+Wz9dgTmhOIVGHL/1EmdbRwDZskCpTR6UzYLeGsVvaU7MAy4vJan9z+BC\nKo++0dU0tgAQsHnI1du/T8ZyKbqkVpLo6XaTWmz/vp0up7F12FuO24xuogKu+IVaBrfF0XLcLLuY\nFXDFL9YzBB3NcZxOoOwSWudQljMM+ZrjDPtdQjLjeqPOIhlGg81xfBYxr4ZCtYAsw0ifZeXY0BAs\nJsVIa7lWplQrMXnCyY4dF0yhliTcnT5hongpaV0evRLF+cx5hh1KtUySJNY516mSGY9HxglYAmxw\nbeD24dv52aTK1pyGqwLj44pqyGiE3buVHeKiqFaVvHNxXlOzGzUWU2T9F0OtPPhMZR+3Dd1Gh6GD\n3cHdFJ2PCJNNS/8E65zrVo6NOEZY7JwWjlPtCNNrXWXjfdY+ykaxfd8LxTBOY7N6yNvtpWZIEE+0\nL4sqNJItG1HcXW7qpuSTxrn11luvPtIKfAU4KcvyPy4fkCTp4pL3K4An7StkMorZ0MVSKr/Fj84a\nEarYFxtJ/NbmDqnT7ARzqu1F7MUiSOY0Pmvzg0Kvw4VsTrb98DMXz6CvtT4kDHpdQgvd5xMZOml9\nSPDbXKQr7ceZjaXp1rfGsRncQvKwhUwKys6VvXigSDDkgnintRj1rVTXAEaDLrKVtFB3M5wPI+eC\njIwosxC33AILE35hefBcbq5pxQCoWzMQzoexdlixdiirJbb5tnE0pm7+556z9+A0O3n1llfz5fEv\nq4qhYe146CFF1rt+vbKX+CEVHiRnzijX53Khc2REmU8VRSRCk1rCaFTmb0TIZjyudFn/7ci/8cc7\n/5g/3/vnfOvEt/B6EZ63qVqVNWXL2OLZQkffSaGEGinP4enoQ69brcwN2AYweWbFnBaJ0+toJq2B\nHj9GR6Tt4mcmA3QlcXU1J+ZBt4+qKda27DmUStHRaCWbvXYPZV37P1SimKbH2Hrf9lrEuonZSgan\nuTUfOTpdJMvtxynWM3h7WuNYdC5CKQElkpQh6GyOo9eDvuJmcqG985FlmZo+zcglZHMkaKemy7Wd\nR7KVLPq6lb7e5spw0CFWGIiXFLOri2fFh4YgH/ESLbRPWhcKCziNATZvkujoUO4ZW7dCt+wXUhDl\nKjnqch1Tw8bv/z589KMQ7AmqIq1T6akmJYRaQ6dH5h7hxv4bAbip/yYOhA78N39Dw68LjQa87W3w\n9reLO+wu4+BBZeYalOJKOi3usjszozxDGi+q7w0Oinda4/FV0hovxpFlWXWn9VzxCfb27gXg+t7r\nSZkfE8ppqRSY/BOsc6yS1kH7IDmdGGnNZGDREF1RN4DCaZakMguJ9qvnyXIUV0ezCsmoN2KiR2gL\nSUlO4bc250aj3oih0UM4lW47zlpwJVbePAt4HXC7JEnjF623+d+SJB2VJOkwcAvwpMK6TAbKJJuk\nVAFLANnSPmltNKCiTxKwtXZaGx2ptuNkMkBnBltHs6zXYXaAOU063d6nO5TMYGy0jvEO+50sGdr/\n5S5kMpil1oeEoN1Jfqn9u0M4lcFqutxDi5sFAZnxXCKFo8PJRSoDenuhmhHrtMaLcdLz3ibSun7U\nQJfkFJqxDefD5MO9XH+98vrmmyF8RlwePJudbSWtKha6T6Saq2sbXBuYSKlYFgZ879T3+INr/oA3\nbH8D3zrxLVUxNKwd+/bBbbcp3992GzzwgHiMs2dXl56DMosajYqvCbh0FnU51ryAIGDZaOKXU7/k\nRetfxEvHXspPJn6Cyy0LJdRUCsqdk4w6RleOjTpG0bunhOdkvF3Nctx+az+Srf1Oa6UC9c44QVsz\naVWKnwtC9/9GR+vKM3+PF11PrG3H50g2hZlW0trv8lA1tP8mp8pprKZW0uqzuijK7d8n80tpXN2t\ncZxdTrKV9vPRIhn89tY80mN0EC+0v5e6pk/T52mN09FwMhNt73xKtRI0jPT6mk2qAj49uqqdVLm9\n/Jgup5EqjpU1UssYcHnI1kR+Vyn0FVfTXJ3ZDN14mUm2T1ojhQhdDT9jY6vHtmwB/aKY50MoF6LP\n2scXvyiRSMBnPgOFSEAp9AqwlKXGEnO5uSaJ4rB9WBVpPRg+yHW91wGwK7CLQwuHhGMsYz43z+cf\n+7yq9XYa4Cc/gQcfVPLbT36iLsbx44ofCSjOvVu2iI+9zM42d1lB6bSKktZYTMlr//fw/8X7CS9/\n9+DfEQggZAwoy5BIypzJrK5g2+LdQlJ3UkiOm0qB5Jpg1LmaG/ut/WQbYaLx9psysXSZulRZaYKA\nonRwGvoI5dtn4+lqApfZ3XK8R/KxIKBuXJRSLWMdAF2y+Eo4tbgS7sH7ZVnWy7K8Q5blncvrbWRZ\nfoMsy9suHL9DluUnfWcyGUXae/GDgqK3Xmi7Q5rPg6Eniae7lbQuGdrvtMZTNWR9RVngfhFMehO6\nupn5RHvzhQvpLB1ya1Ie8NpomLJtJ41YLkO3vjVOv8dOWW7/ISGWS+PoaH1o8VgcJAvtP7REsukW\neZjLBUs5D+GMQKc1m8K41NyxHR1VnBZFEnM4HyZ8NrBCWq+9FqaOihsxzWWbXRbhAmkV7LReSlrX\nOddxLnlOlWnFQ7MP8byR57G3dy9T6am2H8I0XFmMj69Wk3ftgiMq1N6XuvUaDEp1WUQCJctKAl6r\nBCqRALu3yIn4CfYE9zBgG6DT0Ik5IGbHn0xCVj/ZlJhHHCM0bOeFqu2ZpQiBnktmUW0D1Lpn275v\nZzJgtMXxdl/SabUEaHRF2o4TS1WQdVV6TM1u7YrZRLRt8hvNp+jWtSb3AbebJVOi7c5GtpLG0dl6\n3w7YHVSk9u//pUYGz2U6pK4uO/ml9uNUdGkCztY4VpOdVLG9OLIsUzdmGfC2xjFLdkKp9uKkF9Ow\naG/xe/B6QS45SJfbj9MotpLWEb+bIu1/IFLlFPWis8UMxt/jZV5gN2+8GEe/6G0qcl1zDdTSYp3W\nZWnw178OH/wgvOlN8J2vWzDpTWQW2/+dz+fm8XZ7mxysRxwjqowKTydOrzj0L7sQN2QB17aL8Jrv\nvYZP/OoT/NUv/krV3/9tx1e/Cu9+t+ID8vWvq4tx7pyiQFrG+vXKfKoIFhZo+ewNDorLg+NxcHsa\n/PX9f833X/19PvXop7A4i8pKtTaRz4PRoXzGlv0Rtni2EF46IdxpbfQ0F3o6DB3YjR4ixfaVDgvZ\nOD06b9MsKoDLFCBebv9ekF9K4LW0kla7oX1XclmGmjFJ/6U3XMAieVgQWAm3FlxR92C1yGQgW2sm\nrb5uHzVTTKhCbrAmWirkZoMZJJlYur1qXCiRxVC3tlwkAIa6jVCyvROKZS/fIXVYO6BhIFNs73wS\nhct3SPs9dqoCDy2pUhpn1+Vkxg4l+beJeCGF39YcR5Kgx+BkNiHQ+c0m6bvk4h8dBV3JJzT/Ey/F\nmT7ubSIVpw4qM60iRHE2N0u/rZ+PfERZJL1vnzop1URqgvXO1bu4y+xCkiThFQyRQoR8Jc865zqM\neiPX913P/tn9QjE0wIEDykqlv1L5XCPLCmndsUN5vW2bYu0vilCo1SRieFhMIpzPK9VsiwVOxU9x\n1+G7aMgNfD6xanI8DnLwMbb5tmE2mgG4rvc6Kp4DQp3WRLJBqtEqG6x2nRdK8Hk5Sp+9uX3cZ+2j\n2hFS3BPbQCYDup54i1uvUvxsn7SGUklMdWfL/d/b7aVhjrUdJ1lM0WNoJa3eHgeSOd32XHSulsZ1\nmft20OGgqhPokMoZ/PbLFC177JQa7eeRJUOGfndrHHunvW0iVKgWYKkTr8vY8v+6dXZi2fbiJIpp\n5LKjqfAJ0NUFUsVBKNlmnIJCWi/xXmQ42ENdKlOrtzcwniqnqGZbSWuv3SMkD06UEtRyriYysHkz\nFKI+IdIayodwm3o5e1YZm3npSxV3V9G8dj7dbJIG6lyIZVnmdOI0Yy6lhewwO3CanapX8Mzn5nnw\njx7kriN3sbgk4CCngUZD8QB50Yvg5S+He+9VJxG+lLSuWwcTgsKySISmrRagvtMaMzyOtcPKHRvv\nYFdgF+ca9wmPvPSMHmOrb+uqgZJnE6HyOeLJ9jukqRTUOsMEepoVRH2WQRJL7f9gsVIUh9HXctxt\n9pKqtJ/0C3KCgK2VtLo6fCQX27unLC4CnSn8tta81mNwES88NU2Vq4K06vWQWmyWZLm6XFT0ybYf\nErJZ0HWnFRnvRZAkCTNOItn23tCFdBZjvZUkApgaNiKpNklrPkO3oVUeLEmgq9qYjbVZBS5lsHde\nrmNrZ8nQ/sNGtpLB1X0ZmbHLTr4mEidN0Nl60TrNTsLp9i/aZDHJkLc5zvAw1LKiMuMEiVn3iszY\nbge/04KEjny1TS0fSqe1s9LPJz+prDZ597vVrc45lzrX1GldNq0QlQgfDB1kT++elRvn7sBuDkdU\nuBwAxWqRV3zrFbz73nerXlPwdMX73gd33glf+pJ4EgQloTYaq4RzcFAhj6L27k9GWs8LPK/FYoo0\nuFgt8vx/fz4ffuDDfO7A5/B6EaomJxJQcxxll3/XyrGd/p0ULUeFOq0LhQW6DdYmVcqIY4SCsX3S\nWqtBrSNCv6P5qcXT7aGiS5JK19uKk8mA3BXDc0mn1dphRZZqRFLtscSFTBIzrZVkW4cNWV8mmW6f\nwNguI+sV9liop/Fcxvio1+1gySjYIXW03v99djuLbSp2ZFmmYcxctkPq7LKTazOPRHMZWLQ3mQIu\nw2K0ty0znotnMNRaTQoBTA07s/H2SP1MPIWx7lhZU7OMYFBCV22fjEdzKWo5Z4t8v8/lIlsVyI3l\nJMW4u4kMjIxALiTWaY0Woixl/Fx3naLs2LtXGVPwdoqR1plMs3spKEqI2axYKyyUD2ExWZqe0cbc\nY5xNnhWKA/CfZ/+T39v0ewzYBtjh38F9k/cJx/htxrFjipQ2EFAc6Ht6FN8FEeTzytfFXVI1pHVh\nodmnAVC1FzUeh/HCj3nRuhcB8OL1L+ZQ5l5h0toRmGSDc1Xm0GXswtvtJ1Ztv8KcSimr0wKW5h9s\n0D5IRm7/QSRZjuHqbF155rN4yQq42ZelBL2OVtLq6fKSbtPNPpsFqbvV7wHAZnKSfoqUgFcFabXb\nlerixW+G0+xkURKfRb0cwevSOYnl2ntDI5kMnVx+paxZshNpswqcKmaxGi9Pfg1LduYT7f1gmUoG\n5+XIpseMLNXbrjDmamm81taHnz6Xg5LcfsW+sJRucX0ERWYcy7UfJ1dLMRxovvj7+mAx5SIp4Ioc\nK8QZdHuahvjHxsAm6CAcKUR49OcBXvYyxZwgmYRSNChMWidTzTN+oMz5iValxyPjTaRim28bR6Lq\nXIj/8cA/UmvU+OnET7l38l5VMZ6OmJlRdqG+4x3w2tfC174mHuPECUWat9x4kyTlteiO1cuR1oEB\nsVnU5XnWbxz/BrsDu/nWK7/FZx/7LF6vLNRpTSSg0HVyRaYHih1/1iS2+DxSnaDf0nytD9oHyUnz\nbVelMxlFjnWpPNigM2CWHITaXDmSTiszrZ6uZtIqSRJdso9Qur0fLJJLYtG1JmVJkjDWHcwn27vH\nZSopHObLVKRNPcj6RRJtkt+SnMZrbb3/9zrtyB3ptl2ja0/SIQ067FR0bXZIFxcBCY+js+X/uS12\nCm2S1tlYGn3NwWXETNg62pcZzyfSmBqXz7FmHITb7LSGkmm6pMtIsAMgl9tXIs3EUlj0rhbyO+Rz\nkq+L7FRPkF1o7rT6/YoLcUTAzThWjJEJe7jhBuW1yaQoRTpqYg7CkUJk5eE7m1U6cr3WXhYKC0LS\n3jOJM2x0b2w6tt65nnPJc23HWMbPz/+c548+H4Dbh27nwZkHhWM8nVGvK+tm1GL/frjpptXXN94I\njzwiFmNi4oI67qLr/Up1Wpf3orZbY280lGe2JxIP8pyR5wBwfd/1HE0+Rjbbvrt+IgF65wyD9uYi\nzahzmLx+mnp7NVRiqUVqunwLwet3BChI7T9TpmuxFvUQQK/NR77RHmmVZagaEvS7Wkmru9tFfqm9\ne1M6LSN3ppp2vS7D0ekkI+CNsBZcFaS1x1mi3qjTbVwtvbrMLkpyUoi0yqZsi4ESgNXgbHs9TCyX\nxQZ1dpUAACAASURBVKx7kkSosxHPt3dC6cUMtssQaACjbGtbupSvZXBfhrTa7RIs2kkV2zufUiND\n4DIGGv1uh5DMuCSnGPC0XrQBu5Nkqb3CQENuUJLTLZ1WjweqOWfbKxjKtTK1Ro2xkeb54w0bwFTz\ntt2xXVxapFQr8csfO3jZy5Sb8EtfCqceCwjLg0P5EP22ZkMnNVXpM8nmBL/Nt42jUXFdqizLfPGJ\nL/K3t/0t733We/nCwS8Ix3i64ic/gRe8QHElfMlL1C0+n5qiySwMlMQsOrcTCrXO7QSDym65drFM\nWr936nu8dutruTZ4LXpJT9F2SFgenNZfQlo9m4g1Tgl1WtPyNMP24aZjJr2JHr2z7dVV6TQY7JGW\n/aoAVr2PhXx75fZEukZdX2hR2oCy1ivSptlcvJikx9BKWgE6ZSfhTHv3plwthbu79T4pSRKGJTuh\nNslvRUoTuEyR0GG2Q2eGTKa9p7qGMU2f+zLFT6edmr69c5mNZ5Aq9hZSBuC1tu+xMJ/IYHoSNZPD\n3H5ncyGdwXwZsgnQpbezkGnv54pk0lj0rb8rlwsaRWfbsrdwOoXN1BpnOGCjSp56o70n3lA6ibHm\n5uJ0rdOB3+omLOD0GS/FiU95ue661WO7dsFSOihk4hIpKJ/Pb38bHA543eug09BJj6lHyDTxdOJ0\nC2ld51zHuZQYaW3IDcYj4+wJKlsUbx68mYdmVVi6X4SnkwKpWlXk3m43PPaYuhhnziiS82Vs2yZu\noHTuHCsrC5cxOiqmHoLVTmu8GOcN338DXz/6dbq7lbyda3NFfSoFVpvMeOQQuwJKsX+HfwenEqdw\nehfbVv4kkyBbZ1v8TUYcw3QGptoeVwllI1h1fnRS881ywBGgbl5o24Ax34gSsLbKg/udXsq69nLs\n4iJgvnyn1W9ztT23H0mWAIkuY1fL/3N1O8nVfos6rd0eRRp88RyR0+wkvyQmD64bs9g6W0mrzeRs\n28QmUchguYysF6DHYCfZpnQpV8ng7HqyKrCdSLq9OMV6Bp+tNY5eD7qqnblEe3HKpOm7TKV90G+n\nZsi0ddOWZZmqrnUvHigzVrlae5/oXCWHodFNb8DQdFynA5vJxVybs7HJcpIu2c3GseaS/dgYUHS3\nvYInVlSqWY8+IvHsZyvHbr8dHn/AT7QQbbuaXFmqkF3MtsxV91v7mcvNtRVjGWeTZxlzr9pHjrnH\nmMvNKY6ZAjiVOIWExHbfdl4+9nL2Te8TXlD/dMXPfqaQVlBcpQ8dou2VVcuYnlZkvBdjdFSMtFar\nCjm7VDaohrS6/CUemnmIF61/EZIk8byR5zEj7ROSB8cTMgv1E02kdZ1zHcmlWaKJSttx8swz4u5v\nOe7p7CVSbO+hOJ0Gupst/ZfhMvmJl9pLzKFUgs6Gs+UhAcBqcBErtJeYk+UEdtPlSatZchJtc8yk\n2Ejh7WklMACmupP5ZHtxavo0QWfr/dakNyHVOwgn//vPcqlcB1MRn93a8v/6PXYapnbluGkMtcuT\nxIDDziLtk80OLp8bXd12ctX24kSyaSyXMSkE+P/J++7wqKrt7XdKJpkk02t6o4fQRRC7ICJFsDes\nWBA7FkRURESwYderl6JyrSiWq4AKimCjSgkd0jO9ZUoydX1/bFKGOTNzRu/3++73/Nbz8GjOmdlz\nyt57rXeVd8mzVLB6+ab1uqDgICkUiYCsiAqNVn56zeJ1QMMRhSguEkEUkfMG461uewKhJACU6jSw\n+vmDRKvfCvNxfRw4GToU8LRkxhth9puhlRrx0EPAxo2MJ2DzZhZtbWnjD365amN7q3tnXDpzxHEE\nulxdl4NqZNFI7LHs+Ut1rTGKYdIHk6BaovrL5Tf/0/Lhhyxq/uabrPzlr8iRI0gg+tq7N7Mxjh9n\nurCnqNWMyT2TKHBnpPWedfcgEovgvvX34bDjcEZ9w61WQFleB1m2rCsymZuViz6aPsjvtZu3frTb\ngZA0EbSWK8uRbajnDX7NPhM0ksKE40XyQmSpTLzBrx9WFKsSI62lGj3vFmxuNyDIT+T7AYBCpQbt\n4HdTLU4nJBFunabPV8Mf+18EWqXqxBYDKqkKvogHbg8/wOByEcJC7kirSqriTevv8nsgS5LWK89W\nwNXOL7LpDXugyeMGv7lCJaxt/MZpJzdnLRIAZEWVaLLxU4QhoQulOo4UKH0WBNFsXkDGG/JCEMtG\ngSGRQKNYo4Y/yu8ZOwIOiEKahDoGANDlanhHM+wBO0QhbdzmCzDQGnTpeHuBLT4LFGIDtFp0kXGc\ndRbw2+ZsyLJlvNOVzT4zDPkGCAVCBALdPS9LFaUZgVYiwiH7oS7CCoClS5YryzNOM15/dD3GV42H\nQCCASqrCEOOQ/28InRwO8Cas4ZJdu9AVZcjNZfMiU+bfujrWa7GnVFZmBlrNZsZoenLt3V8BrWHd\ndlTrq7vqSM8oOwMH2zdnFGk1t1khEgrj0o4kIgkKckthCvEzIEMhICxtQYWmKOFcQV4R7EH+oDUq\n5Y606qRGOIL8Iq0tbhvyBInKHQCU2VrYefYidQcdnK0BAEAm1MDq45kFAieMcm4FnwMVzB5+e2Uk\ni3vfBgBxRIVmHk7LJpsHgpAMIo4QqVGpBLI9CLSn17OtTjeykqTjFqqVCPFMMzZ7uNNxAUAvU8LH\nU4/YvG7OdkAASzN2+PnqIxfUHBF6gL2rJjvPcfzcjorCQkDQoeHtOLd6HTDIE+dg70ItXEH+oNXs\ntaLNpIvbv4YMAazH9ZmBVp8Z1mNG6PXA2WcDd90FLFsGFMmKMorYNnubE9rK9db0zjjSutPUHU0D\nGDipUFXgoP1gRuMAwAd7P4Cz3Ynnxj2HWd/Oyvj7/y/krbeA++4Drr2WAc2/wtVw+HA8gVJNTeag\ntakJCaRjAgEr88qk7MVkAkjWjHVH1+Gdye9gxrAZeHPbm10pwnzEZgOyy+PnBcAy1LKLa3mXvTgc\ngD8rsYa7XFkOobqedyaSLdgKvTTRwC3IL4BQ0coLtBIBHSIryjSJDl2jTA8RzxZsbjdAUm7QWqzW\nICTiCVpdDuQQt0PXoFAhQP+LQKtEaU/I/RYLxcjLyuftnXR4OiCEKI6WvVPUuUp4wzxrSDu4o7VA\nZgyJ/qibsxYJAPLFCth5RmxDAjeKNNzjZJOSV91OJBZBTBRAiUGWcE6jAahdyas9gKvdBUGHGjpd\n4rkygwodAv4RUrSrE+oYAJauYOWZHmwP2BHzaRNSVPr0AbwWLe/0YKvfClGHHqec0n1Mo2Hpyuos\n/mRMJp8JhbJCuN3A4MEM3PzwA1CiKMkoPdjsMyNHnJOQ6vhXvNJbmrbgrPKzuv4+o/QM/NL010Hr\nAduB/5G+eL/+yp5f//6ZMeN2is/HvtfTEzx8OLBjR2bj1NX9/Uhrz3rWd3a8g76v9cXq/aszBq1W\nK9Am/x2ji0d3HTuj9Azssm+B2cI/vc0UPoQqRd8EhtwqdSUckXpeYzidQJamBcXyRNBaoiyCK8bP\nanE4YwhLuOt2jDID3GF+L9/is0Iu4tiYAGikWrh5GvttEQd0+dyKWZ5Bxk5QwE1YBwC5AhVs3vRW\nSygEIIebQwBgTksTj4ydZrsboiQR0iyRGIJILlps6Z2WJpcbOUkipCU6/sSANq8b+WLucQxK/mzG\nzoALSo4IKQBocjNoedPuhJajhy0A5ItUaHHyrGMOcTNrFhYCMR//uePssKNYnTgH+5WpEYi5eGf+\nmNtsqNDr45xlffoAljp9RmzGZp8Zu38xYsoU9vfllwNffgkU5GcWae1swdNTypXlaG5rRijKv2H1\nyaAVYOBkryVD1AVg+a7lmD16Nm4aehMaPY3Ybf5rvBH/U2KxAAcPAhMmsPTZyZOBL77IbIxQiIHK\nnnqtpIRlIWXSqqypKb6NW8+xmnj66Ds62O9uMH2Gaf2mIU+Sh2sHXYvPD34Og5F4g1arFSDDnxhq\nHBp3vJ+2H0hzkHek1eoIww8LCmXxUdIKZQWicv79x11hEwrliZHWAlkBKJ9fpDUQAAQyC4qUXERM\nBgjyLbzGMTsCgCC+/LJTijUaRLMdvGp1LW1O5Aq4dVqBUo2g8H8RaOVqVQMA2lwNvBEnrxC4pc2N\nHCE32NTkKeCL8AOtbSE31NIk9Ta5CnhD/MZJ1oQdAOTZSjgC/BRqRMzN1ggwYigTj/xpT4cHCMmh\n1yW+7uxsQBjkRzDiCDgR9as4QWu5UYmwsI2XQnW2OxFp03CC1mK1Bk6e7WFsfhvCbl1CY+qiIhZp\nNXl4Rlr9FoRdhjjQCrBUqpwIf6bFVm8rCmWFWLKEeaRXrwZuvx0ozCtBk4d/pPWQ41BcanCn/JX6\nn52mnRheMLzr79NLT8eWxi0ZjdEpz2x+BqOXjcboZaMzTlPORIiYN/+f/wQuuwx48snMx9i/n0VW\nexpsfwW01tdzR1ozqdvpBK1HnUfxyIZH8NQ5T2HmNzNBuaylV5BnRq7FArSKfsOo4lFdx4rkRRAJ\nhYhKW3lHpV2oQ5WmIuF4b10FAtn1vEgrHA5AqEg0QgGgQlsEv5CfMdvscCKLZJzOxiKFEV7wrGlt\nt0El4QatujwtPGF+e4E/5oBBxg1aVdkaODt4pvVmOVGi4VbwMrEadn/6cSyODkAYRZ4ksYYIOBGx\n5VG32exITlgEAKIwv4wda5s7aYS0RKcAZbsRi6V3njj8biiyua+nQKXk3X/W1eHiZMQHAK1MibYQ\nz3KVsAsGjnZAwIk0Y54Eg96IE8Uc71ypBCigRgvPDCJvxIFyfaI9VFWRBXFUxstxTkRwdFgxoDx+\nTeTlASqJDi3uzEDrb98bMXEi+7uwkAEToS/DSGtbcwLfg0QkgTHfmBH43W/fj4H6gXHHavQ1GXM+\nmH1m7DLvwqQ+kyASinDVwKvw+YHPMxrjf1o2bGC2hfhEZdW4ccCmTZmNcfw4e38SSfcxgSBzZ2xT\nE4uqniyZRFrNZlY2892x9ZjQewIARgpIRMgpOpRRpDUkP4j+2v5xx/tp+yEoO8g70trsaYFSbESW\nKD6bsFxZjmAO/0irF60oUXJHWsM5/ECrywUIZdwOXX2eHrFcfi3YmuwOSKIazjaeujwNBHkOXrXD\nVh8jmuOSEq2aNzfC35X/CtAqzHNCncPRRiVXjWyVg1d+vN3rQV4S0KqXK3iTRPgiHqjzucfR5ivh\nj/KNkHpQoE4WsVUwIJlGYhRDLKsNJfrEWiQAyBcrYW1Lfz2WNhfQrkzoZ9cpWVEVrxY8zQ4XREE1\nchLJI1FoFEMQyeN1Xya3AzG/GlwBhHKDGm0RnmlUfjs6nNoEVlaBANDmatHAc6ey+CzwWwwYPDj+\n+LBhQMzDn4W41dsKQ24hli8HHniA1VPqdMDWn7Roj7TzriU97jqewEAMZM606Gx3wh6wo7emOw9o\nVPEobG/dnnFDd7PPjGd/fRa1d9Sil7oXXvr9pYy+n4ls2sQ8sJdcwp7jhx9mzpTYyfrbU4YMyazH\nans7UxwnEyjp9ez6+JLEdYLWZ395FneOvBOXV1+OKX2mYOXu5RmlQFksQF1wK04tOjXueI2hBoo+\ne3l5k0MhIJhbhz76RNBaoSxHjpGfN9npBKJ5LSjiiLRWaosQlrbwIptodluQj8T0JwAoVRvQLuT3\ncJwdNmik3KDVKNPCT/ysjXY4UKjiVsyaXDXaQukfTiwGxCROlGi5Qas8SwVHIL2Cb7K7IAqpOI0N\nAMgV8Nv/zW43sik5aM2KKtHqTD+O3edKGiGV57H+44629FkY7g5uln8AKNHyTzP2ht3QyrjBpkGu\ngi/CNyvKhSIV97tSSVWwevnpo3ZyotzARb7F6qHrTOnHiVEM7XChsoCjNrYYEAY1vMpe2oJtEJIE\nNf2kCef6Futh5cn3EAgH0BHugKleiUGDuo+fey7gqC9Ccxs/dBKNRWHyskykWIwBnk4ajUyJCrkY\n+mv0NdhrzSzSuql+E84oPaPLYXZh7wvxzZFvMhojUzn53jOVH34Axo7t/vv004EtWzIb7/BhJJRU\nAX8NtHZGWmMU67IpMom0ms2AvrADWxq34LwKxvorEAhwftX5cGu+513TarMB/pzD6KOJv7F+2n7w\nZh/iHWk1BRphlJYmHC+QFSAkcsFk41c3HRCaUKFNBK3ybDkgiKLVnt6gcbkA5Fo5+R46W7BZnemv\np8VlR06Mu+RFm6sFpPwIbx1+B+RZ3PtkiUaNqIRfgPHvyn8FaBVIuVNyNVIN8rT8Hqgz4EF+VhLQ\nqlAgCJ4su1E39DJuhaqXKxCI8RsnLHKjOElaL1+yCafPC4TzoFaKOc/LJUpeacaNJ/rZJbF9kAMl\nr0hrg9WFHCSpRdIDCKjhbE8/Tr3NgVyBhvN6ehXxLwyvt9ohhRbZiUEaFCp0aOUZabX6rfCYDAkb\n+dChgM/EPz241duKoL0AFRUnyKDA6k4+/VTAyJh4Rlu5+uIBrP7nqIt/evAu0y4MMQ6JI6dRSVVQ\nSVWoc/HvOQYAb21/C1cNvApF8iI8efaTeG3ra7zZMDOVTz9lz00oZKyCp5wCfJ9hG759+4Dq6vhj\n/fox1kS+G2tDA6vZObkUUCBg0Ve+tUQtLYChMITPDnyGGcNmAABuHHoj/rX3XxmlCLe6XAjE2lCu\nLI87Pkg/CJKSPbzSqO12INtQh6qTCFEA5k0Wa/l5k822ECJZTk6FWiwvgljVwivVzOw1QynmSLkA\nUKk3Iphl4WWQeSI26PO5QWuhSosAT4bEoMjBmZoJALp8NbzR9Dfl9QKQOqHL51bwyhx+HAvNdhfE\nEe79FgDyxSrYedRtpoqQAqzMxMzDZe8IuCGXJAe/wpASDRYemT9BFzS53NdTqlciyrP/rD/qQoEi\nOTEU31Zu7XChWJMszZifTiMihEROVBQkidiKNWi0pZ877g43RFEZSosTdX5xMRDzaXmBVlvAhqyw\nLq5usVOqK1jmAR/HpcVngVJsxIjhgrislbPOAhr38Y+0Wv1WqKVqCEmCCRPYXnzrrQxsZQJaYxRD\nvbseFap4p1uNIXPQ+nPDzzirrLt0ZkzJGBxxHsmIEbmnbGvZhv22/UnPRyLABRcw22DWXyyf/fln\nFmntlJISQCrNrM3MkSPgnBeZgNZAgDmSdTpgr2Uvyl4qQ8XLFTjsOIziYv6g1WQCsqv+QH9d/7hy\nqFHFo+DI3sbfoWuNwSU4il7q+FqxKlUVPGiA2cYv/dweaUCxPBG0CgVCyARGNDjTK+twGAhLW1Gp\nT0wPFggEyKMCNDjT25QOZwzRbO4sVIFAgOyIHg329Gjc3OZAnoAbtOZm5QKCGMyO9M5GV9AJVTa3\nTtPlq4Fc599qw8RX/itAK7K5CZTUUjWylfwasbvbPUlTjgwKJaJZHl6e/w54YEgSkjQq+TEkEgEx\niRulBu7r0cmUvLzAjTY3hCHuFgMAq7F18kgzbrK5IEnhac8TqtDKo26n2eFErpBbKeflAQiq0MLD\nUm22OyHP4jYM+5YpERb4EIml7/PYaLdDm4Q0pVSr480e3NJmQbtNn5DqMngw4GjgH2k1+UwwHS7E\nBRd0H7vkEuDrr4EiGX8G4QZPYp8w4ER6cAaR1l3mXQk1HgAw2DA4Y6bE1ftXY/qg6QCAan01CmWF\n+Kn+p4zG4COxGLBmDXDxxd3HJkxg7WsyEa5Iq0IByOX8U5e4SJg6JRPF3NICuFQb0E/bryuddnTx\naJi8JijLmtDCMzPOHKtFf82AhMhbjaEGpN/LG7QK1XUJRh8AVKgqQIp6XqlUdTYTpDEDREJRwrki\neREE8hZeKVDWdjM02dygtURtAPLNjLI/jfhiNhTIuYmYSjRahMT8DNFIlgOlOu69ySjX8CKbMNvb\nWXQtKzHKBZyI2PJoD2Byu5BNycGmLIvf/m/zupCXJEIKAFKhEhYe/cdTRUgBnGjlk34cb8QNbRLH\ncJEuHxB3IMgjRz0VSWGxVsU7zTgkcqGMgxEfYBFbPg4GX8gHRLNRUsDhQQWgzFHz0o32gB3CDk1C\ndgfAGFYjbVpeLeGsfisEAT3n/jWgrwRZMRlcPMC42WdGVsiIU+OTO3DKKcDxP/nXtHbWsy5fzsoh\nTCbWK/Tf/wZK5fxBa6u3FSqpKqHtRqmiFK52V0bM+JsaNuHMsjO7/s4SZWFk0Uj83vw77zE65e0d\nb2Pqx1NxzrvnYPX+1ZyfWbqU/ddkYsz2P/yQ2W+4XKx2s1981yCMGMGY8fnKfyLS2tzMsodiiODq\nz6/G/LPmY/bo2bjxyxtRXEwZpQdHDVsxqmhU3PFTCk9Bc4w/aG10tSBPpIAsO563JVucDa2kBPUe\nfjfmpkZUqRNtLwDQZBWhlYeTxu0GRAoTiuQcTKMA5MICtHjSg99mhxPimDwhVblTcsmAJmd60Grx\n2iEXcdvJAoEAWRENmuzp9xRPyJHAPdQpsmwZkOXn3X/878h/BWiNZnk4laFGqoFEwS/S2hZyQylN\nno4rzvPwGicocKNAnaTeRq1AWJh+EJ8/Bkh80Mm403p1cgXaeURsm21uiCPJjQR1rhKeYHrF3Opw\nQ5okQgow48fCI83M5HIlTQ8AgOyoGvXm9IrQ5HFwNigGgJJiIYQhJS/Sila3DUYZd3SlV6EW7hA/\nQ7XBboFRZkhgdy0oAGIeIxqd/HbOVm8rDu8o7GqzAjBDo7ISkIb4R1obPd2U615vd81jibwE9oCd\ndz3pAdsBVOuqE44PNgzGbgt/woljzmNwtDtwanG35XLVwKvwSe0nnJ8Ph/n3VztZdu9mwLJvj5Le\nCy4A1q/PbByuSCvAiJ0O8iSZPJmEyRFwdBGGlJTwB7+trcBhwZeY1m9a1zGRUITxvcYjWLKWV6S1\nvR0IKWpRU5B4UzX6GrTL+IPWiPx4Qn9VgEVaQ7n8aP0bXC1QCDgKmsBYRSO5LXA4eNQ3Bs3Q53KD\nVmO+Ecg38yOtEFhRpOLeC8q0WoSz7GkjtqEQQNLkkdYCpRodgvQPp9HuTEp8BADafBUvhlyz25Vy\n31bmqHg1dHcG3JBnJR8nT6SEzZd+nLaQG+okEVLgBDEgjzTjQIy7jRsASCQCCIJKtDjS68eg0IWS\nJMzKpXp+/WcZSaEf5QXcurpApYIvwoPv4QS54MltrTpFl6fmRTDoCDgQ82kSSl4AVscoJS2OmXhE\nWk/wPXCB1r59AVEHPwZhs8+MiNuYwPdQVARkdRShyZMZaF28GFi8mO3xixcD8+dnFmnlSg0GWCSs\nSl3Fm6jQF/LhuOs4hhbEO3VPKz4Nvzb9ymuMTjH7zJi7YS42XrcR31z9De745o6EMqlgEHjhBQZc\nFQrg8ceBF1/M6GewYwfL/jrZThk8GPgzAx/0fwK0dqYGf3HwC8iz5bhp6E24c+SdcAQcsOf+klGk\n1SvfipFFI+OOV+urYQ83odnGz5BoChxBaR7HTQEoyauEqYNfZplf3IDehsRIKwDopUWwtKef704n\nQPmtCWROnaLJKoTZnz4Q0uiwIDeWZEMBIBPqYWpLv4ZZGzdu0AoA2TENWnj0f/ZFk2cPCQVC3twI\nf1f+K0BrROTmTA9WS9UQyfiBVm/IA3UuN2hV5CggzHWnHYcIiIg9KExSi1qkYQyJ6YyfJqsXgkgu\nZxQCAAp4RmybHalrkXQyJbw80oxNHhfyRamNHzsPNkur15mUrREApAIVGnikQNl9zqQMnUYjEPNr\neDV0t/ntKFZzL8YBZTr4wS/SamqzoFKfuDkIBEC5zoh6Oz/Q2uRuhflIYYKCP+88IGAq4V3/0+Bh\n6cGvv87qKcvKGJuuSChChaoCx138WIAOOQ4l1HgArOl2JqB1U8MmnFdxXlya8YTeE7D+2PqE/r67\ndzOQXlgIPPss93j7rPuwbOcyzkj4zz+z1LOe0q8fa33DNyLpdrN/JxN0dY514AC/cTp7tBIRHv7+\nYZS/XI4+r/bJOAWqpQXY79+EcyvOjTt+dtnZcMu38AKtVisgLdmPgRxOiL7avvBmHYHVmh4ktlqC\niGTZOAmUdLk6RIUBtNjS8+g3e5uhFnNY1mB1OwIB0GxPb3B4otzN0wHmtKRsD+zO9FkXQbENZdok\n6cFKLZBrR3uaDCiXOwbkuKHJ5VbMxRo1QiIemSQOJyTR5M49g1zFK3XV5nUhL0lmCwCopPzKTFwd\nrqRZSMCJ/uP+9OP4Ii7okkRIAVZmwifNOAh3UkZkgBFD8UkzjojdKNFxX0+FkfWfTdd/3N3hBoLc\nJIUAi9i2I/27anU5gYAmKW+EQa6Gg4cj1uSxI+rTcpIdAoA8S4M6S3rQ2uy2IuzRc7aV69sXiLTp\neLHrm31mBCzGuHpWgOnGkTUaBMIBXmzyzW3NEAWKkZODrqjtpEmM0C3sKEVjGz/QytXrtVP6aNje\nzEdqrbXop+0HsTA+Dfu0ksxB67Kdy3BJ/0vQV9sXIwpH4IJeF+C1ra/FfebTT4FBg7odqZdeyvrd\nZtIaZvt2FlU9WYYMyayV238q0lpSArz0+0u4f9T9EAgEEAqEuHX4rVhrfTujmlazaBtOKYo3msRC\nMaq1g9FK/JgTbdEj6KXmyHkGyyByRNOD1kAAiMkb0VvHHWktlBXBGU5vhFjsIZCkjTOtFwB0OQWw\ndaQHrS0eK/KTtHEDAEUWv2xCZ9AOdZKMRADIhQYmHiRxAXLAqOC22wEgK6LmzbT+d+S/ArQGBdzp\nwcocJUS5Hl7pwf6oB5okBErKHCWQk34cvx8Q5HiSKmadTAHkeBBIE+hqtrkhCidX7oUaBUI8IrYm\nV+oIqUHBjxjK1uaCLEUtkppnewBHwAVtXnJjTCZW80ozdnY4UMDRGgBgNO5ZYTWOtqZfRO6QHRVG\n7sXYpzwPMYryiko6g1b0K+E2nPsVGWH28Wu70eIxYVBFQRezX6ecey7QeqiYF2iNUQzNbc2wHi3B\nwoUsYrh8OWPRtdmASlUlb9B62HGYk4V4sDGz9OCtLYnkP/21/RGlaJyR4PMBU6YAzz/P6mZe4ZkL\n+QAAIABJREFUey2R2XDtkbU4991zse7YOgx7e1hCbe3PPwNnnhn/HYEAGDUK+O03ftdbWwsMGJBY\niwqwSCtf0NqZHvzu7nex9uhaNN7biIfHPIwrVl+BouIoL4ODCGh2WeAImTDYEM/0dVrJaWgV/cor\nBcpiAQSGWlTrE0GrPFuOHKEM9Y706PewrQH5sWJOh5pAIIAS5TjmrE9/PYEW6KXcoFUgECA3Wog6\nW/rr8ZEZxUruSKtIKEJWWI16a2ojnQiISGwoT2Lpa3I1gNQBlys1gGm0uiEMyxIM2U4p1WkQkaTf\nl8xuJ3Io+T5ZoFQjyKM9mCPggixFhFSbxy8KmC5CqshW8WKkDcSS8z0AQK5ICas3/TghoStpGzeA\nEUOl41gIR8MgUTvKjIlt3ABAo8oCIjlw+VOni7a6XBB0qJDLTdCMMr0KQUH6Z3zc5IQkpk7KG1Gk\n1sATTP/Oj5sdkJImaUmQVqpFizP9HDzaaoVcpOccp7gYiHj0vFILG11mtNuNqOTAiaeMECA3yo/z\nobmtGaaDxbj6anQ9I6EQuPFG4Ld1/COtKUGrmj9o3WvdixpDTcLxU4tPxQ7TDoSj/NIcYxTD8j+X\n45bht3Qdu2/UfXh759txnA8ffcTutVNyc4GJE1npEF9JBlozibT6fCzNOBnrr92OtM49gDls5SUN\nOOQ4hIv6XdR1/KqBV+H7hn8jFA3zqm+st1nRAXdCLSoADC8ajDbpXl7tWFyiwxhg4I609tFXwCNM\nD1odDkCkakCZkjvSWqoshCeWXqcds5iRHTbEOfl7iiGfXys3i88KhTg5aFVn6+DoSA9a28J26PKS\ng9Z8Ib82kx0CJwqUyfVaDqlhcv3fb3vzXwFaO8BNxNQJNvlESNvJA0OSvqiKbAVIkh60ut2AQOrm\nBNCd4yDHnTZdrdXpSdlioESnRJRHTzurx408UQrwq1KhnUfE1hFwQ5WT3GjR5St5pZm5g07o5Ski\nttlqmD3pJ60n7ECJJrnHRgoNL9DqIzv6FHMvxooKAQTturSkCpFYBAFyoaaK+3oG9zLCHUmPKoKR\nIPwRL0bWJI5zxhlA475iNLjToxyzzwxVjgpPPJqDBQtYtPDCC5ln9skngUolP9DqanehI9KBgvxE\nV3ulqhKOgIN3z+E/Wv5ISN8RCAQYXzUe64915+0uWACccw5wxRUstfrZZ4GHHur+TluwDTO+noHV\nl6/Gp5d9ivtH3Y8rP7uyixCECNi8ORG0AsDo0ZmB1pPrWTulTx8GqPlIXR2gK/bg4R8exsqpK6GS\nqnD7iNshFUtxNOdjXt5kjwegsp9xeunpCUCxv64/AuRAPQ8yBYuFpQdzpXsDQEF2b9S1pTfY6lx1\n0IgSU4M7RZdVjkZPeoYpZ7gFRTLu9GAAkAsL0eROb8y2i8wo13KDVgDIjurRYE+t4P1+AHk2FCm5\nQatEJIEwmps28ttodyArknxfKlSpgRxn2hZF5hT97ACgUK1CiEfqqrPdBbkk+X6rlyvRzqOnqTeS\nvDUMAKhylWjjUWbSgeQ1pACL2Np5gNZUEVKARWxNadKMbV430KGEQsGNEoVC1sqt3pL6OdeZXBBH\nkoPNqkI1IlnpdVq9NfU7L9Wp4eNB4lVvtUMuTm5gGuRamNrSR1rrbTbocrnXg0gEyEV67G9Iv+8c\najHDkGtMcMQCrK4V3kJenA/N3mbU7SnGpEnxx6++GvjxCwZa00XFAeCYqzs9OBxGXHuuTCKtey17\nUaNPBK3KHCVKFaWcpE7BICNT6ik7TTshEUni2soNLRgKba4WPxxnRateL3PGXnhh/HcnTgS+yYCs\nOBloLS1lQJMPF8HRoyyi2unM8If82NG6A8FIECIRszfq69OP09QEWNRrMKXPlDgnX4GsAFXqKqgH\n/8IrM6outA0DVCM4AV6NoRqSotq0xIDRKBDMO4LBxdyR1v4F5eiQ1qcFv3Y7ISrrLs06WSp1RfCL\n0t9UvaMVecRdzwqwVm5tsfQ2pS1ggVqSPD1YK9XBGUy/hn0xO4yy5HuKIksDeyC9vR0Sp7Pb+dn/\nf1f+K0Bre4w70qrIYb3f0oHWjg4WIU0WaVXkKBARu+F2p94UXS5CTMINoIETTFvCCKyO1FYLa8Ke\nJE8IQLFWCcp2J2yAJ4vN504ZIS3SKhHiQTbhak9ttBiVKnh5eOy94eSN7gHW0N3OozYqQE6UcbQG\n6BS5WIMGa+pFxNga7RhQxr0YjUaAfFo0O1PvePaAHeKwCn17c0dXhvaXI0Jh+EOpm2CafCZkh40Y\nPixxSeXnA32MxThqSQ9aGz2N0GeXobYWuOGG7uPz5rHWL0qq4gVaO1ODudplCAVCVOurUWutTTtO\nIBzAIfshDDYOTjh3ftX5+O7YdwBYHcc//wksXNh9/vLLmSLdvp39vWrPKowpGdNFfnHvqHshEojw\n/u732TUfYh5oroblo0cDv/Pkx0hWzwow0HqYn12D+npgk/8fGFs5tquZvUAgwJzT52C96zVekdaW\nFiCn789xhB+dIhQIMUgzCvWR9Gj8uMmJmDjAmdYLAOWy3mgNpkfjTd46GLOTg1ajtBSm9vRRD3es\nGWUq7kgrAKjFBbz6G4eyzZyp+Z2SDwOa0/SUtDsjQHZb0jp5AMiKaNFgS70XtDgdyI4mV8rybBkg\n7oDNmZrRz+5zIl+U/FpKtCpEs/hESF1QS5Pvt0aFCh08ooCBqBuGFM5GbZ4SXh7EgCGhG4VJWHYB\n1n88XcZONBYFZflRZuSuIQVY/3FzGmKoBosbwrAyKdgEAHFUmbaVW6PNiZwUZFelxjyQMIxgJPU7\nb3E4IRMnf+eVRjXaedRDt7gcUEuTz8FitRYOHuy2zW4rCpXJozT6PD2OmtIbvPV2Myp03E6lYcOA\ndlsBWnis8+P2ZvhailFzEk7s3RvQ5ClAMSEvJ+px13FUKCuxaBGgVrOuBQsXMgK/jECrlRu0AsCp\nRadia8vWrr87OljfcI2G2RWrVnV/dsPxDTi/8vwEPXvTkJvw3p73AADffguMGYOE1PHx4xmY7Yxs\nEhHWH12PRZsX4ZfGX+I+a7ezCGlVYjkvBALmpN23L/1990wN/uLgFyh7qQzT10xHv9f7YZ91Hyoq\nmLM2nTQ1AQcFazCt/7SEc5N6T4Kw3795gVaLaDtGFp7Cea5aXw2hsTZtuxqHAxBqj6Cfnhu09tJU\nQKSpS8tmX2d2QkQS1paGQ/oYixDMbklbHtjsNkEuTA5aS9VGBITpI63OkBW63ORr2CjXwRtN76kI\nwM5KZJKIMlsDZ0f6PSUqcaJUl3yPyxepeJX1/V3526BVIBAUCwSCjQKBYL9AINgrEAjuPnFcJRAI\nvhMIBIcEAsF6gUCQFMX5IskjrRFx+gipxwNkyZJHSCUiCYQkgdWVOlXU7AxASFmQiCSc5wUCAcQR\nRVqSCIvHDakwhUc6Ow8QB2FzpE5BcbWnZmss1bEa23TSFnZDl6SfHcA8/3w89oGYi7N5eqfoZWo4\nO9JP2qDQgaqC5IpZlaNJy7TYFmwDIjnoVcHN1igUAjkxHfY3pF7UFp8F5DNwUsADwIABAgj8Rlj8\nqTeZVm8rYp4CDBvGff6cYcUwBdKjnAZ3AzrMpbj5ZpYq3Sk6HXD77cC27ypxzJW+8OSQ/RBnanCn\nDNQN5NUiYJdpF6r11cgRJzbnPaf8HGxu3IxwNIw33wQuuig+7UgoBG65BXjrLfb3qj2rcMOQG7rO\nCwQCvHD+C5j34zy0h9s5U4M7ZehQ1mOVT7uaVJHWkhJmAPhT+yDg9QKBYAjLal/Gg6c9GHfuwt4X\nwhZsQkPHnrQKrKUFiBRtimut0FNGFo+ATZy+bmeftRY6JDIHd0pfbR/YKT1otQTrUCJLDlpL5GWw\nh9JHWv2iFlRqk0dadTmFsLanjsCEwwBJLagyJI+08iGbqLfaIQqpknIIAEBOLL0Dq9Vth1SQfF8S\nCAQQhdRpW5c4AqkJ60p1alCOM63nvy3sSpnWW6hW8epp2gFXUuIjgHEjBHiUmUTEbpRoU0Rsc5Rp\ngYfF0wYEZcjLTW565IuVLJKaQhptLkhStAMCgBxSocmeGtS3OF1JGfEBICeHEUM1pInYmjxOKJO0\ngwCA3iVqhMU8mKfb7NDnJzcwy/UaeHj0Crb5bShPUuMNAEVKHRod/IiY+pdyr0+DAZB0FKK2gQ9o\nbcLIfsUJJEIAMHUqkBvilyJ83HUcGz+rwscfszKPP/9k0cq77wZ680wPJqKk6cEAMLJoZBdojURY\nB4DmZtbibONGYM6c7gjpD3U/4LzK8xLGuGLgFfjm8DfwBr1YswaYlojtoFSyMpatW9k1zfp2Fu5d\nfy+c7U5c8/k1uOvbu7pSjP/8k9WuJksbr65mei+ddILW35t/x61f34p1167D/ln7Mf+s+Zj84WQU\nVLh5RVrrrBY0dOzG2MqxCefGVY2DX78xLVdDLAb48ndhTBW30VStq0ZIUQuzObWSNVkiiCnqOAm6\nAKBCWQFS1KWN2B62NiAvyh1lBVikFbKWtLaDydcKdRY3CRMAVOiMCIrTR1rbIlYYZclBa6GCH29L\nUGRHURJyQYCVz6TbU8JhAuUk7z0OALIsNRyB/w9AK4AIgPuJaACA0QBmCQSCfgDmAPiBiPoC2Ajg\nkWQDeILc4EyZo0RYlD7S6nYD4rzkEVIAyIYCljQDtTo8yIomHwMAJDElTM7U49h9nqRN2AFm/AjD\nCjRaU4/j7nBDLU0+Tpmhk2wi5TDwR1IbLcUaJS+PfYfQiVJ9as9/Wyj1OJFYBFGRD31KUxhR+RqY\n21IvoiaHHeRPTlgBAHKxFkdaUu9UjU4rYm2J7W46paICiLUZcdyaepM5ZjUh7CxE//7c588/Q41Q\ntCMtJX+9uwGtB8pw3XWJ5+69F/jt20octqaJtBKhvmkv+qoYEne5kNA2pMZQg72WRNAaDjPPJRGA\n9nYc3L4Op2u4lYouT4cKZQW21G3Dq68CDz6Y+Jnp04GfP7Ph2M9rYTEdwbjKcXHnR5eMxojCEXhz\n+5tJU4MBQKUkDFQ0oWntvrSI8+RI61HnUXy490N8f+x7xGJBjClpROOPx5CqB1ZdHaA68wNU66ox\nxDgk7pxYKMa1g66GvvcyuI/aU3Z2P9ToQFBa3xWpPVnGVA5FLH87wsHUaPyopxYl2UnCxwAGFvaG\nNys9aHVSHarUyUFrhboUHqQ3HoOSFvQpSB5pNeYXwBlKDVptjgggdUKfl3wRqyR6WNM4jOptNkgi\nKTYCAHnQotWdxoHldSBfmFy5A4xsojFNewB30AlVTnLlnieRAiBYXamLxwIxF/QpnI2MGDD9vh0U\npk7r1cuVactMiAiU7UapPrl+1OQp4Q2ni5C6UvI9ACxim44YqtXpTtkOCGARW5Mr9Thmtwsycepx\nxGEVjptSP2eb1wltEgIvAOhVpARJ2hAMpfZUOAIOFCiTz8FehVr4KH1UxB22oldh8jVRZdTD4k1v\n8LrDZgztndypVKIqxJ661OgkRjHYQy0YO5J7v5g6FQiYytKCVm/QC3+HD0sXGvDFF8xBWlbGmOV/\n+w14+yUtCARHqlRHIlhbDiM/EOEsnQFYpPWPlj9AxPqpxmLAJ5+wSOugQcAHHwAzb4nAufsg6vf/\nirNKE5WWNleLs8rPwsd7P8e6dcyhyyXnjfJj/+r9ePebRfi16Vdsu2Ubnj//efx5+5/YZ9uHmd/M\nBBHhzz+Z4zaZDK30wLlpb9oc4SNHAG1lKy795FIsv2g5RhSyfOPrh1yPcZXjYFI/grZdx5COuKUh\n5yuMrbiA05k9onAEwqLDaDl0PKVudDgAFO7EyBLuG9Pl6SASZOFgmpDtvqZGSMKGpC3GtLlaQBRC\nvTm1vX3c0QgluEmYAKBQVgjKb03Lim/rMEEvTR5p7WU0IJyTHrT6YEGhInkWUolaj3Zh+jUczrKj\nTJfcEabP18AbTa3TWh0+IJaFXEni++4UZTa/oNXflb8NWonITER/nvh/H4ADAIoBXATg3RMfexfA\n1GRjBMIB5EvyE44rshUIgh9oFUi5U4w7RSpQwNqWeiCz241spFao2VCkZUh0+N2QS1KDX3FEgWZ7\n6nHaQsn72QGATJoDCGKwOlM3MgykaJ4OAGUGFcKiNJ72WAw5USeqjKnArzp1KweTCW3rv8HEfVIU\nNmxNWvFfoNTA7k+yiDo6gK+/Rmzhi3jytyCEK5cnLVLUSHWosyRZ1MeOAU89harbH8fqn45A9OTj\nTPOdtMmKRIAMRuw6wrHJEDHX65VX4tyL78bOdZshvvUm1oTtpJDg6acLQG3FqHNwbMAOB8txGj4c\nd42bh+Pfvo0+D09jTex6XI9OB0yfVIE6dz13Y/hDh1hoU6fDnEtfwiPjF+GX/PGYUfgttBrChAnA\nxx+z2pwafXczdiLGTnzllSyF6eqyX7AlbzwiSg2m3voCnrtmJTBuHGdjubGVY7H0iw0YOZJ5jeOe\nzYcfonjqCOzw9kbu5dNRu8iDrMkXMdrEHvLUOU9hyS9L8NOvXpxxxkk/EIkAr74K9OmDb+wjobzt\ncoQMWvwyuhiznjsbizYvQoO7OzJos7H7KyoC/mj+AxM/mIjTl5+Of+/+BMdm3wi7Ph8fNY1A6U1j\nWahg5kxOWuK6OkLbwOcToqxwu4FHH8WC6Suw85fXIBvem3k2Fizg7PPzh2kLiml0Yq81mw2YOxcX\nTbwX7tVrIZblsByylSsTC6cANIdq0VvBAVrNZmD+fFwzcx5MH30NKi8Hrr2WMWBxGAxecR36GjhA\nq80GvPACbn3uVfzw+VfA2LHAU08BxxMdJLEYIZrbigHFHN5ktxt47z3cuWY9nln7GXDffcDq1ZxG\n0DGzDaKQhjtC2tEBbNyIm3ccxeQfvwRWrAD27+e8p2aXDdJYEgOdCGhowNimMAzbf2I0m0kav9r9\nDiiS9I/uHEvbroCzqSFlyN8TciZlIAZOOC1DKjTZUgOhALlSpvWW6lS8nJYRsRvF2uTjFKjSl5nY\n23xAWApZHnfPQADQ5qfvP95sd0McTQ0SlTnp04xbXS7kpshmAli6mtmTDmy6oEhRggMAElKhMdW7\nam1FQf1hjPD6k/b6kmSJIAjJcawliQ1SVwesWYOLtu7F1KM7WONNjjnWv0yLkCgJaA2HWQhw3jws\nXn8Ul21cAXz5Jed871eihzOUJNLqcADPPQeaNg3fftCEK997iNV+eBNZxfsWFuKYlcM5RcRyX2+8\nEbF+/VD/YgSzPryA9Xk5KYtq+HAAnlJsPcyR4UHEqHfPPBN5Ci3c89uxTzAIFR89g84UPLmc3fay\nZQKoqTd3tLWjg5EsVFVB028oahd7IejVC3j6aZzMGDRQPxD17nq89GYbtmxhgLUr68njwZlfPYCD\ndg1iZ56Fra+FoKgexvrZnGTPXFtzLV7b/D4GDkRiK6SWFuCaa/DkPwyYuGIqJl35GP54oQ35K/4F\nRKNQ5ijx1ZVfYY9lDx747gHs+pMwZAgS5dgxYOpU3PxEEaZ/eyXLtz7lFPbMODaGg0eCWOG7BDNH\nzMSkPj0KjLduxWtL9uHT59/CDR+ezYyNCy9k7/Ak8XqBYOUaXDGII3z800+QnDMW1mfbMeu5QQzp\n33ILZ5+5gw0OCLI9icRaRMz2GTcO9meduOPmcuYtWLgQXOHSWvNhKCIcJEwnxhFceSUOvR7GqKtq\nWMj7gw/ARUzQ5G2ATsIRaY3FgHXrkHv/w1j3QRR5V48H5s5lIXIOcYaTt7tBUxMqV32ApT9bEH5w\nDruWJCHgdqEVpZokkdbWVgzZvw/XHDjOjLr9+zn3i1iMEMuxozIJYSkiEfTriKDMWsfmUpKaxUar\nE6JgaoeuJledNmj1n5D/aE2rQCAoBzAEwO8ADERkARiwBZDU7SeTyDgLsZU5SrQTv/RgZHP3eu2U\nfB60/laPB9LkWcwAgFyhMi34dadJ6wVYT7ukEdtIBDh+HGWmBgy12Vn1vMeTsAmxiK0SDZYe4xCx\nXJYvv2TNwK66Cp+uqcVFzz3ODPQ332SgoYciqyhQIiZxxQ/vdAKff86KOaqrQRIJTK+2YUB/I+sb\ncsMNwLvvxnG2l+pV6MBJnpaDB4FFi9hGWl0N8WNP4Y6dMUjumwVotcD557Nxeij7Eo06Pl2BiF3z\nzJkMjSxdikCLGbkkZaDxzDMZvew778QpIKNcixZXjw0hFmOActIk9nmnE5t7V+Gn3tWsmv/66xkV\nX2cH9BOiyzWgtqEHaI1GmSE+ciRwxx3A2WfjqSnn48UJlzF36IMPsoKf9eu73plCAeRFivHj9h4p\nwn4/ezZ9+7ICyqVLMebOc/HYbUuZa3buXPbceoDFRx7IQyygxL6eKVkuFwvDnn46o7vduRN9F/RD\nr6ofkT/reqyufBDuwWfinjHb8c47zEP98as12NmyD0uWEIYNY7d+3gAT3FOuwzrlFdDedRUGGuzo\nc7cRxw79zj5wxx3AhAlxCujssvPw/bEN8VHW2lrGyPTcc8BTT+GthXb0u0WJ2t0/MKVx6aWMgeME\nWByoH4jRhrFw9X0pnor/jz8Y88RXXwGrVuGZOX+i+mYVpj07HLmnnYUXlvyJMUs+wHlLh+C8987D\nyj9X4uNff4XhvI8w6cOJuOzTyzC5z2Q09n0L/3p8N27LHoNt78xH2cMCPHrPNywkq1Awhfjkk3FG\nx7dH1iJbIu5Of4rF2Lzo1w+wWpG14UeU3FeEt5dtZmvt2DFmMLzxRtzGv9e7CdX5PTzxoRAzcAYM\nADweiL/4CvkPKbBx/VH2vleuZOc++yxuvdsFtag29PAK+HzsmqurAZsNoldfRe9ZWXB9so7N7Rkz\nGAPYjz+ipwSldRhU2gO0WizA7NlsDtbWInTjTZhxQR5w//1MmY4cyd7Vnj1dX2ly2oFwHtTyHp7t\nhgYGUKuqgC++QKRXP/y7QsoYud5+m63bW27pzIUDABy3miEJn2TN7drF8uCLioBHH0WVJwBxwMXW\n+QUXMPrn+fPjHFUmjy2+NUAsxrww99/PQjGjR+Ou3w/gvI1fs3vpNMjefBNo7I7uODscUGb3UMwd\nHWy/eOgh5lDIzcWBd7bjppmXATk5LF9vxgxg2TKWq3jCaEjoZ+d0sut/8UWWenDqqdj/jgv9x49h\n/T+uuIK9y08+Yfd/Yg8LCV3dEdJwmBWS/fEHsGYN8Prr0Cx+BsvW+hG+/ka2T8+Zw5pf/uMfbKzv\nvwe2bUOFz4nyWAfbY2prgW3bmFNj3TpgzRoM+W0Tpu9vZM/j7bfZ/axcCbz/PjOqPv4Ybe/9C5fW\nSiBY8znTC2vWAF98web+l18CX32F0UcO4IzjRxiC6Pz36afM4fDaa8DixSh75UUs2WxnTp6XXmK/\n8/XXzGF4+DDgdEKbI2fEUJEI6/W0Zw+71mXLmCNl5kxc9fwifL36Z0ZXftttwCuvsLlu7858kEuU\ncPjc3XOitpat4Zkz2drQavHl3Mfw+/PPsbqBCy5g17VhQ1w2R65AjWZ7D71mMjGCgVtvZbmWgwbh\n8W9/xr2frmDzvaaGzZnNm+P2gqyIGkeae4xz/Dh7X0OHsqL9FSvQz2zHsGO7gWuuYdd0772sQeeJ\ne+pfrkZM4kYo3MNAra9npAdlZcAzz4CEQuw1dECvVwAvv8zW0t13M6fmCRncSw8/nQRaDx9me3yv\nXsD+/XBOmYL5p0khv2QiK8wsLWVrvMeaGdarMLF2fdMm4LTT2HofPBg7n3sKZ07ti9wn57D53bcv\n8MwzXY4soRCoKS3Fpj9PirRu3Mj2n8WLgdmz8cn6FVBeNQmCf/yD3UvfvsDrrwORCIxGNt1a9vbB\nms3d9wkithb69wd+/RXBDz/H3W8sxLWv3Ab/yk/Zuu3bl9kgJ9ZvligLldIhWPDODnz5JSCTgen8\nf/6T7f8eD6w/HUDpGTOw6JOH2Pi//ML0SA9dPbnvZBx078Q5F/XQ+cEgu/fBg4GKCngPmdDr9Mvx\nwHvXI3vFe4xmeORIYNs2yLJl+Paab7GhbgO+Cz8eD1q9XuCRR4BTT4VlYAXe+folDBz0CI4f2Q48\n8QQDeOPGxRE4EBH+LLkNFdoizD1jLjtoNjNa46lTIZlxK+556wEMunQqc2Jecglw3XXMCdqjCfiB\n4x6gdAsm9u7BLHX0KNPtN9wAzJyJGc/OxbCb7wD27mXz5owzgAceiLPzfq3bBXlgSLztv307a7fw\n8MPALbfg4tk34MIHFrE9raGBPf8lS+J09RHHEeiEPeq7iNjeN3o02xPPPx+3XTwar9z8ELun5cvZ\nO1+xIm59WtobYcztAVojEbb/DR7MnnVxMd4aWogdZ01kk/aqq9hvfPYZetZ6tJEJxcoekdZwmO2V\nEycCgwdDfOQImvJy4YyCzZ1evVh7iJ9+itP5oSwrKvQ99JrHw6793HOBgQPRa/VHOM3iZmNMmcIM\nu7vvBrZs6ZrLDq8fICHUsh706A0NzE6ZOBFQKnHDgnl487sdrDejXM7syIUL2bs4cV9NDgeyIj10\nGhFbgytWsHU+aBCWP/4otr/4GtOvw4axubB0KbuvE+y1X+zgyaaZSojoP/IPQD6A7QAuOvG386Tz\njiTfI/l4OT3xxBP0xBNP0I8//kidEoqESDhfSKNGxyiVfPQRUe7ccjrmPJb0M9WLz6dzb12bcpzr\nFqylysfHp/xMn8en0RVPfsp9MhwmOnaMbrr4Unr2puuJVq8m+uILop9+Itq1i+j4cSKTicjtpoq7\nzqBnl/yLaNs2olWriB59lOjii4kGDCDKySEqLaV9mjyyVPYiqqggyssjys8n6tePaNw4optuInr8\ncZp5vp523PMY0dy5RBMnEhkMRDod0QUXsDFXraJJl8ip4Y13iF5+mX1v8GAiqZRoxAiiO+6g2Msv\n042TReR9agnRHXew8zIZG+PZZ4m2b6cjdSbCHCVRKES0ezfRm28SXXYZkUZD1KcP0cyv1uV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s39upmMBP4ulxg79R/Evy6+XPzo3X555q5ceaCYOWPXPHGNWHnjleLb84+UWEwWot1uEX7fJ8S/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\nlVVRsbNvL9C5GWh2UCEBE1VI2RPUX+syyqdwrFc+F86QdijGxuA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "\n", "# define input stream\n", "yobs_syn = Stream()\n", "yobs_syn += Trace(syn150to200)\n", "yobs_syn[0].stats.starttime = SqDist_syn.next_starttime\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_syn.process(yobs_syn)\n", "\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t150to200/100., yobs_syn[0].data, color='blue')\n", "plt.plot(t150to200/100., SvSqDistStream[1].data + SvSqDistStream[2].data, color='green')\n", "plt.plot(t150to200/100., SvSqDistStream[2].data, color='red')\n", "plt.plot(t150to200/100., SvSqDistStream[1].data, color='orange')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Next 50 \"days\"\n", "\n", "Items to note:\n", "\n", "- changing baseline level is tracked well by SV" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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3r+EPO/5A0FtBbMrYxKr5q7C0sGz9HB8fVQBduFCtdm5pgYcfhqeeAkdH077O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\nqGXb2VXdV1oDnAMoO1tGXWM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supjRauRs60wvy14MGlXJ7gtNdmlqUqsV3YO7389qdHHS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dklNrRpWll+UpxZTM9ID9qiybB9rd3dYChu5tv1aWhqakSc8tat8OCDQsb1qzXoNsuS34EBSMsf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\nAUFag22vc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8KJ+yHCpD35OvfBou/C8d9EX8M9KRYZK38JzQ9GX2e8F7q2QPXN0Ppw9HVG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T6uxxcPB7+F+SB9v2orokrVZmE66zwD2UTbaUQCmuY2cw1VwhVUAVjX1ILGBR+VU1iACpijSX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\n8nLNYymN4lwGdgMLgau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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "\n", "# define input stream\n", "yobs_syn = Stream()\n", "yobs_syn += Trace(syn200to250)\n", "yobs_syn[0].stats.starttime = SqDist_syn.next_starttime\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_syn.process(yobs_syn)\n", "\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t200to250/100., yobs_syn[0].data, color='blue')\n", "plt.plot(t200to250/100., SvSqDistStream[1].data + SvSqDistStream[2].data, color='green')\n", "plt.plot(t200to250/100., SvSqDistStream[2].data, color='red')\n", "plt.plot(t200to250/100., SvSqDistStream[1].data, color='orange')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Next 50 \"days\"\n", "\n", "Items to note:\n", "\n", "- tracks reasonably well when signal-to-noise ratio is relatively large" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KUY8YrgcAbd8JL/e7zr6tiTKZp6fDngLVjo6CKdJibaWU3Qq8MvAdf2/92y7a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YxjnE7U76ILw6x/rQF2rmulkdhFVD0RO+MM2EENzuIHhnR7keojdxEgwrw34c1xcMpqDL6s6uSs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\n7Gx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IgiAI4leFZ3iwB7cByAHwpiYO/CHn/BzO+RLG2FMAlgCoAnAOGawEQRAE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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# next 50 \"days\"\n", "\n", "# define input stream\n", "yobs_syn = Stream()\n", "yobs_syn += Trace(syn250to300)\n", "yobs_syn[0].stats.starttime = SqDist_syn.next_starttime\n", "\n", "# process input stream\n", "SvSqDistStream = SqDist_syn.process(yobs_syn)\n", "\n", "plt.figure(figsize=(16,4))\n", "plt.plot(t250to300/100., yobs_syn[0].data, color='blue')\n", "plt.plot(t250to300/100., SvSqDistStream[1].data + SvSqDistStream[2].data, color='green')\n", "plt.plot(t250to300/100., SvSqDistStream[2].data, color='red')\n", "plt.plot(t250to300/100., SvSqDistStream[1].data, color='orange')\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }