Skip to content

Instantly share code, notes, and snippets.

@tobeycarman
Last active August 29, 2015 14:14
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save tobeycarman/66d737fb8b6b489e2db5 to your computer and use it in GitHub Desktop.
Save tobeycarman/66d737fb8b6b489e2db5 to your computer and use it in GitHub Desktop.
detrending climate drivers for dvmdostem
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": "",
"signature": "sha256:459ea3ade5f990760a6fe9dea69d97010e5635865e53dcdc32e9a986858dad0e"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Outline\n",
"\n",
"* [De-trending climate data](#De-trending-climate-data)\n",
" * [Setup](#Setup)\n",
" * [Software](#Software)\n",
" * [Data](#Data)\n",
" * [Initial Exploration](#Initial-Exploration)\n",
" * [Try with real data](#Try-with-real-data)\n",
"\n"
]
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"De-trending climate data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For some projects, we need to use the projected climate scenarios \n",
"without the warming (or cooling) trend that is present in each \n",
"month (or season).\n",
"\n",
"For instance in a situation where, over 100 years, January\n",
"becomes warmer, but July becomes cooler, we would like to remove \n",
"the warming trend from January and the cooling trend from July.\n",
"\n",
"We'd like to remove any trend that might be present for a given month\n",
"over the next 100 years, for every pixel in the AIEM domain. \n",
"\n",
"A single climate driver variable for dvmdostem, over the whole \n",
"AIEM domain for 100 years at 1km spatial resolution and 1 monthly \n",
"time resolution takes ~21GB per variable:\n",
"\n",
" 1850*2560 = 4,736,000 pixels in AIEM domain, including oceans, etc.\n",
"\n",
" 4 bytes\n",
" ----------- * 12 months * 200 years * (1850*2560) = 22,732,800,000 bytes\n",
" 32bit float\n",
"\n",
" 22,732,800,000 / 1024 / 1024 / 1024 = 21.17 GB\n",
"\n",
"\n",
"We need to do this for 4 variables (air temp, vapor pressure, \n",
"near infrared radiation, and precipitation) for six scenarios (echam, \n",
"hadley? ccma? etc?). Thus we need to process ~500GB of data.\n",
"\n",
"In this notebook we will outline the process for removing\n",
"a trend from the timeseries climate data downloaded from \n",
"SNAP in a (hopefully) computationally reasonable amount of time: (??)"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Setup"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Software"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook will call some external shell commands, so you must \n",
"have the appropriate software installed and available on the path \n",
"that IPython uses. For the most part things should work if you \n",
"install your software with the system package manager (e.g. apt-get \n",
"or yum or homebrew)\n",
"\n",
"* GDAL command line utilities (specifically `gdal_translate`)\n",
"\n",
"Also you will need the following python libraries.\n",
"\n",
"* `netCDF4`\n",
"* `matplotlib`\n",
"* `scipy.signal`\n",
"* `rasterio`\n",
"* `IPython Notebook` (for running or adding to this .ipynb file)"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The code in this notebook assumeses that you have downloaded the climate\n",
"files from SNAP and have extracted all the `.tifs` so that you have a \n",
"directory strucutre something like this (assuming you are working with \n",
"temperature). Note that the data is organized with a `.tif` image for each\n",
"month for the next 100 years (1200 files):"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \u251c\u2500\u2500 tas_mean_C_iem_cccma_cgcm3_1_sresa1b_2001_2100\n",
" \u2502\u00a0\u00a0 \u251c\u2500\u2500 tas_mean_C_iem_cccma_cgcm3_1_sresa1b_01_2001.tif\n",
" \u2502\u00a0\u00a0 \u251c\u2500\u2500 tas_mean_C_iem_cccma_cgcm3_1_sresa1b_01_2002.tif\n",
" | ........\n",
" \u2502\u00a0\u00a0 \u251c\u2500\u2500 tas_mean_C_iem_cccma_cgcm3_1_sresa1b_12_2099.tif\n",
" \u2502\u00a0\u00a0 \u2514\u2500\u2500 tas_mean_C_iem_cccma_cgcm3_1_sresa1b_12_2100.tif"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For this notebook, we are working in a directory \n"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Initial Exploration"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are many techniques for de-trending data. Ideally we can\n",
"use `scipy.signal.detrend` from SciPy's signal processing library\n",
"and avoid having to devise our own custom detrending algorithm. \n",
"\n",
"So first we need to play around with `scipy.signal.detrend` until \n",
"we are convinced it will work for our needs.\n",
"\n",
"Start by loading some libraries."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.signal\n",
"\n",
"# IPython \"magic\" to allow plots to be displayed inline\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 27
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, create an x range and a few basic signals over that range:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"SIZE = 1000\n",
"x = np.arange(0, SIZE)\n",
"\n",
"noise = np.random.uniform(low=-50, high=50, size=SIZE)\n",
"sin_wave = 100 * np.sin( (np.pi/180) * x )\n",
"trend = np.linspace(-500, 500, SIZE)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Checkout what we have created so far:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(x, noise, label='noise')\n",
"plt.plot(x, sin_wave, label='sin wave')\n",
"plt.plot(x, trend, label = 'trend')\n",
"plt.legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 29,
"text": [
"<matplotlib.legend.Legend at 0x18adf9cd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nuGNwHMdxcvwBBSGlIcBvsdkAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x18abb0f10>"
]
}
],
"prompt_number": 29
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can add our basic components together to create a \n",
"noisy, trending, sin wave. This should be somewhat similar\n",
"to how one of our climate variables might look:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"noisy_sin = noise + sin_wave\n",
"noisy_trending_sin = noisy_sin + trend\n",
"\n",
"plt.plot(x, noisy_sin, label='noisy sin wave')\n",
"plt.plot(x, noisy_trending_sin, label='noisy, trending, sin wave')\n",
"plt.legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 30,
"text": [
"<matplotlib.legend.Legend at 0x18ab36850>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ng4iIZFBgEBGRDP8HiMqrb444NI8AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x18ae266d0>"
]
}
],
"prompt_number": 30
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looking pretty good. Now to see what exactly the \n",
"`scipy.signal.detrend` function does. There are two \n",
"options for how you'd like the detrending to happen, \n",
"'linear' and 'constant'. Accodring to the [documentation](http://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.detrend.html#scipy.signal.detrend),\n",
"the linear subtracts the result of a least-squares fit for the\n",
"the signal from the signal. The constant option subtracts \n",
"the mean of the signal from the original signal."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"lin_detrend = scipy.signal.detrend(noisy_trending_sin, type='linear')\n",
"con_detrend = scipy.signal.detrend(noisy_trending_sin, type='constant')\n",
"\n",
"plt.plot(x, noisy_trending_sin, label='noisy trending sin')\n",
"plt.plot(x, lin_detrend, label='linear detrend')\n",
"plt.plot(x, scipy.signal.detrend(noisy_trending_sin, type='constant'), label='constant detrend')\n",
"\n",
"plt.legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 31,
"text": [
"<matplotlib.legend.Legend at 0x18ab6f3d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMCillIqggUEppVQEDQxKKaUi/D+S2iljTZ7Z+gAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x18ae42f50>"
]
}
],
"prompt_number": 31
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Huh, interesting. Looks like the linear option is what we want\n",
"for our application.\n",
"\n",
"However, it looks like the linear detrending seems to center the \n",
"resulting signal around zero, so we will need to offset the \n",
"result to line up with the initial reading in the initial signal:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"offset_lin_detrend = lin_detrend + (noisy_trending_sin[0] - lin_detrend[0])\n",
"plt.plot(x, noisy_trending_sin, label='noisy trending sin')\n",
"plt.plot(x, offset_lin_detrend, label='offset linear detrend')\n",
"plt.legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 34,
"text": [
"<matplotlib.legend.Legend at 0x18b26ef10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEACAYAAAC3adEgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x18af7a590>"
]
}
],
"prompt_number": 34
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So that is looking pretty darn good. If we end up needing a \n",
"more complicated line fitting algorithm (e.g. cubic spline) for \n",
"finding the trend maybe we can riff on the `scipy.signal.detrend`.\n",
"\n",
"For now this seems like it should work. Lets try it on some of \n",
"our actual data. But first, lets cleanup and release the memory\n",
"needed for this test:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%reset -f"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Try with real data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we need to load up some libraries for working with the `.tif`\n",
"files from SNAP. After the reset magic from above, we have to grab\n",
"numpy, matplotlib and scipy.signal again too:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.signal\n",
"\n",
"import rasterio\n",
"import netCDF4 # Not using this yet, but may want to write netcdf file??"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we will use GDAL's notion of \"Virtual Raster Tiles\" \n",
"to assemble a \"view\"of our 1200 files that shows only one \n",
"month, but for the entire set of years. We are essentially\n",
"creating a new file by combining all the files that would be\n",
"listed with this command: \n",
"\n",
" $ ls tas_mean_C_iem_cccma_cgcm3_1_sresa1b_01_*.tif\n",
" \n",
"So, 100 files; 100 years worth of January.\n",
" \n",
"GDAL Utilities has a tool, `gdalbuildvrt`, that can quickly \n",
"create such a \"view file\", or \"Virtual Raster Tile\" file that \n",
"behaves just like a `.tif` would. This is essentially an \"index\"\n",
"into a set of `.tif` input files, and allows us to access the data\n",
"in the \"shape\" we want without having to create a copy of the data.\n",
"The \"Virtual Raster Tile\" file has extension `.vrt`. Beacause a \n",
"`.vrt` file behaves identically to a `.tif`, we can open and \n",
"handle the `.vrt` files with the same programs or tools we \n",
"might use on a `tif` file, but the `.vrt` file can be composed \n",
"from a subset of one or more bands in one or more input files. \n",
"\n",
"In our case we want to be able to open the `.vrt` file and read it \n",
"into a `numpy` datastructure so that we can use `signal.scipy.detrend` \n",
"on the data; we will likely want to write this detrended numpy \n",
"datastructure out to a new file as well.\n",
"\n",
"We will use the exclamation mark to access the system shell commands\n",
"for `ls` and `gdalbuildvrt`. We will also use the IPyhton magic to \"time\"\n",
"the execution, and \"reset\" to free up some memory."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Create a list of the files we'd like to include \n",
"# in our virtual dataset. For starters, we'll \n",
"# just pick January for all years:\n",
"!ls ../../snap-data/tas_mean_C_iem_cccma_cgcm3_1_sresa1b_2001_2100/tas_mean_C_iem_cccma_cgcm3_1_sresa1b_01* > janfiles.txt\n",
"\n",
"# Next, we ask gdalbuildvrt to create a .vrt file\n",
"# from all the files in the list we just created.\n",
"# -seperate each file to a stacked band\n",
"# -b 1 use band number 1 from each input file\n",
"%time !gdalbuildvrt -separate -b 1 -input_file_list janfiles.txt jan.vrt"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...10...20."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..30...40."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..50...60.."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
".70...80..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"90...100 - done.\r\n",
"gdalbuildvrt(5952,0x7fff7f226310) malloc: *** error for object 0x7fbd88f0add0: pointer being freed was not allocated\r\n",
"*** set a breakpoint in malloc_error_break to debug\r\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CPU times: user 6.58 ms, sys: 6.77 ms, total: 13.4 ms\n",
"Wall time: 770 ms\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Not too bad for creating an index into ~20GBs of (sorted) data.\n",
"\n",
"> NOTE: Not sure what the malloc error in `gdalbuildvrt` \n",
"> is all about. Seems to come up after the operation is \"done\"\n",
"> though, so it seems like our file should be ok. Maybe we should\n",
"> report a bug.\n",
"\n",
"Now we can open and read the `.vrt` file just as we would \n",
"a `.tif` file:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"month_temperature_file = rasterio.open(\"jan.vrt\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# this one takes a while...\n",
"%time temperature_data = month_temperature_file.read(masked=None)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CPU times: user 15 s, sys: 1.16 s, total: 16.2 s\n",
"Wall time: 16.2 s\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is for one month, so to do all months, we are looking at \n",
"`(~15secs * 12months)/(60secs/min) ~= 3`, so about three minutes of \n",
"file-reading time for one variable, one scenario. \n",
"~3 min x 4 variables x 6 scenarios comes out to ~72 minutes \n",
"of file-reading time for all our data. Not trivial, but totally\n",
"reasonable for nearly 500GBs of data...\n",
"\n",
"If we look at the data we can see that it looks to be the correct shape.\n",
"The axes (dimensions) appear to be (time, y, x). So we have a \"stack\" of \n",
"images, with each item in the stack being a point along the time axis:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# dimensions are (time, y, x) \n",
"# from upper left corner of image\n",
"# (not sure which corner of the pixel)\n",
"\n",
"print \"Type of data: \", type(temperature_data)\n",
"print \"Size of data: \", temperature_data.nbytes/1024/1024, \"(Mbs)\"\n",
"print \"Shape of data: \", temperature_data.shape\n",
"print \"Min value: \", np.min(temperature_data)\n",
"print \"Max value: \", np.max(temperature_data)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Type of data: <class 'numpy.ma.core.MaskedArray'>\n",
"Size of data: 1806 (Mbs)\n",
"Shape of data: (100, 1850, 2560)\n",
"Min value: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"-3.4e+38\n",
"Max value: "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"11.5998\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Not sure why, but it seems that even though our data is a \n",
"masked array and the fill value seems correct, the mask doesn't\n",
"seem to be used because the upper left corner pixel, which should\n",
"be masked out, shows up:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print \"Using mask?:\", temperature_data.mask\n",
"print \"Fill value:\", temperature_data.fill_value\n",
"print \"First value (should be masked):\", temperature_data[0,0,0]\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Using mask?: False\n",
"Fill value: -3.4e+38\n",
"First value (should be masked): -3.4e+38\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we don't ensure that the oceans and other no-data areas are \n",
"recoginized and appropriately excluded from calculations and displays, \n",
"then the automatic scale-ing can make plots difficult to interpert. Usually\n",
"the scale ends up far too large in order to accomodate the very-large or\n",
"very-small values used for no-data pixels."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"temperature_data = np.ma.masked_outside(temperature_data, -500, 500, copy=False)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now if we take a look at the value for the first time-step \n",
"(first image in the stack), upper left pixel, we see it is masked,\n",
"which makes sense in light of the image:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print \"First value: (should be masked):\", temperature_data[0,0,0]\n",
"print \"\"\n",
"plt.imshow(temperature_data[0,:,:])\n",
"plt.colorbar()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"First value: (should be masked): --\n",
"\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"<matplotlib.colorbar.Colorbar instance at 0x10add1128>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAWkAAADtCAYAAAB9LYQ0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nE2D+HyLBz3jL0klQAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10ab54e10>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Next, we can look at the timeseries for a \n",
"# pixel in central alaska that should have data\n",
"plt.plot(temperature_data[:, 550, 1050])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 17,
"text": [
"[<matplotlib.lines.Line2D at 0x10a846dd0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10ac86d10>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can run the `scipy.signal.detrend` function over\n",
"the time axis for every pixel on the map:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Another 15 seconds or so and a lot of memory. There might\n",
"# be a better way to do this.\n",
"%time dtrd = scipy.signal.detrend(temperature_data, axis=0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CPU times: user 12.4 s, sys: 4.17 s, total: 16.6 s\n",
"Wall time: 13.3 s\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/Users/tobeycarman/.pyenv/versions/ipy-notebook/lib/python2.7/site-packages/scipy/linalg/basic.py:552: RuntimeWarning: overflow encountered in square\n",
" resids = np.sum(np.abs(x[n:])**2, axis=0)\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And then look at the detrended timeseries for\n",
"a pixel. The `scipy.signal.detrend` centers the resulting\n",
"signal around zero. We can offset the new timeseries signal \n",
"so that it starts at the same value as the original timeseries\n",
"by finding the difference between the first point\n",
"in the original timeseries, and the first point in the detrended\n",
"timeseries, and then adding that difference to the detrended series.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Y = 550\n",
"X = 1050\n",
"plt.suptitle(\"Pixel(y,x): (%s, %s)\" % (Y, X))\n",
"plt.plot(temperature_data[:,Y,X], label='original')\n",
"plt.plot(dtrd[:,Y,X], label='detrended')\n",
"plt.plot((dtrd[:,Y,X] + (temperature_data[0,Y,X] - dtrd[0,Y,X])), label='dtrend+offset')\n",
"plt.legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 19,
"text": [
"<matplotlib.legend.Legend at 0x10a8a71d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAESCAYAAAAR2wXeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10ac93150>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It turns out it is blazingly fast to add the offset\n",
"to the array in place:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%time dtrd[:,:,:] += (temperature_data[0,:,:] - dtrd[0,:,:])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CPU times: user 295 ms, sys: 4.46 ms, total: 300 ms\n",
"Wall time: 300 ms\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"-c:1: RuntimeWarning: overflow encountered in add\n"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now the timeseries for each pixel in the image\n",
"has been detrended and offset so that the detrended\n",
"timeseries begins at the same value as the original \n",
"timeseries."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def check_pixel(orig, detrended, Y = 550, X = 1050):\n",
" plt.suptitle(\"Pixel(y,x): (%s, %s)\" % (Y, X))\n",
" plt.plot(orig[:,Y,X], label='original')\n",
" plt.plot(detrended[:,Y,X], label='detrended')\n",
" plt.legend()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"check_pixel(temperature_data, dtrd, Y=550,X=1050) "
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAESCAYAAAAR2wXeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXl8W9Wd9r/HsqzFlmR5TbwkdjYCIRsUylKGQClLWygt\nw9a+tJT5dLq302XagZYCA29nhnbovO20lKGlQBda6FDKXgIl3SEJ2ROy2k7iJbYlW4sl7zrvH0dX\nupKuZNmWE5vc5/PRx9bVXY6u7n3uc57f7/yOkFJiwoQJEyZODhSd6AaYMGHChInjB5P0TZgwYeIk\ngkn6JkyYMHESwSR9EyZMmDiJYJK+CRMmTJxEMEnfhAkTJk4imKRvIi8IIcaFEFuFEDuFEI8LIRxC\niDOFEP9vivt7WAhxje79r4UQTdNsY4kQ4g9CCEue6yeOKYTYIITYG/+OW4UQVfHlNwshenXLb9Ft\n/xEhxP7468N5HO/vhBBbhBCj+u+ea1/x89SiO/5q3WffFUIcEEJsF0Ksnco5MHHyofhEN8DEnEFU\nSqkRy8+AT0gpvwO8McX9yfgLIcQKoEhK2TadBkopR4QQrwDXA7/Ita7BMSXwQSnlFoN2Pial/Fza\n9hXAN4Az44veEEI8LaUM5DjsYeAjwJfz2NdvpZTB+PG/LKV8Mm2bdwNLpJRLhRBvB+4HzpnMOTBx\ncsJU+iamgj8BS4QQFwohngEQQvyXEOL2+P+XCSH+EP//zLiK3iyEeFEIMc9gfx8Cnoqvf4sQ4jva\nB0KIjwkh7tOvLIRYGFfElUKIIiHEn4QQl8Q/fiq+v4mQOKZ+1wbriSzLLwNeklIG4kS/Hrg81wGl\nlIellDuBWB77umKCdl0FPBLf7+tAuRCiNv5ZvufAxEkIk/RNTApCiGIUIe1I++hW4HohxEXA/wNu\nFkJYge8B10gp3wb8BPi/Brs9j2SP4VfAlTp74mbgx/qVpZSHgf9AqdsvAbuklC/HP94NnKVr79Ys\nX0V/TA2PxC2Ur+sPB1wjhNghhHhCCNEQX14HtOvWawfqsxxrIky0r3+LWzj3CSFK4svqgaNp22ht\nSzkHJkzoYZK+iXzhiBPoJpRN8RA6BSqlHAQ+hlKp35NStgKnACuAl+Pbfg1jYpwP9Mb3EwF+jyL+\n5YBVSrk7fQMp5Y8BD/BxdHaJlHIcGBFClMbfr83yfRLHjONDUsrTgQuAC4QQN8WXPwMslFKuin+3\nR7Lsb6Zwq5RyGYrEK4Cv6j5L7wFIyDwHJkzoYZK+iXwxKKVcG399Xko5arDOKhSRasQugN267VZJ\nKY0skEHArnv/I+CjKJX/kFFjhBBOlLKVgCvtYxswNNH30R9TStkZ/zuA8sLPjr/v033XH5P03TuA\nRt3+GklV6xNBX/Qq676klMfif0eAh7V2GWzTEF+mIZ9zYOIkhEn6JgoCIcRC4IvAWuAKIcTZwD6g\nWghxTnwdqxDiNIPN3wSWam+klBtRJPZB4DHdMV4RQsyPv/0P4KfAHcCDunUqAV9c7eZC4phCCIsu\nW8cKXAnsjL/XxyCuAvbE/38JuFQIUS6E8ALvAn4X3+bfhBBX5zh2epzgdzn2NT/+VwBXa+0CngY+\nHP/sHCAgpeye5DkwcRLCJH0T+cKoHKvULf8R8KW4Mv2H+HuAvwf+QwixDdgKnGuwn+eAdWnLHgf+\nHM9gQQhRBCwG+oQQF6IU939IKX+BsjI+Et/uIuBZbSc5PH39Me3Ai0KI7fE2HiX5IPmcEGJXvP2f\nQfU+kFL2AXej7K6NwF26zJ3Tga70AwohzhJCHI2fkweEEDvj++rPsa+fCSF2oGIoFcA98W2eB1qE\nEAeBB4BP6Q6Vcg5MmNBDmKWVTZxoCCHswKvA+VLKWHzZM8B9UspX4+9XAB+VUn45+55ACPG/wFel\nlAcne8xCQQjxYhYb67gg33Ng4uSESfomZgWEEJeiLJcw8DqwTUp5/ST3YQVukFL+dDLHlFIenXDl\nOYLJngMTJx9M0jdhwoSJkwimp2/ChAkTJxFM0jdhwoSJkwgm6ZswYcLESQST9E2YMGHiJIJJ+iZM\nmDBxEsEkfRMmTJg4iWCSvgkTJkycRJgy6QshrhVC7BZqRqUz0j67NT6jz974ABgTJkyYMDELMJ2Z\ns3YC70fV/UggXlDreuA0VLXFl4UQywo91N2ECRMmTEweU1b6Usq9Usr9Bh+9DzW93Gh8KrqDJMvB\nmjBhwoSJE4iZ8PQLOaOQCRMmTJgoIHLaO0KI9YDRnKa3SSmfmcRxzAI/JkyYMDELkJP0pZTvmsI+\nJ5rRBwAhhPkgMGHChIkpQEqZPlVm3iiUvaNvwNPADUKIEiFEM2p2oo1GG0kpzZeU3HHHHSe8DbPl\nZZ4L81yY5yL3a7qYTsrm++OzAJ0DPCeEeCFO5HtQsx7tAV4APiUL0VITJkyYMDFtTDllU0r5G+A3\nWT77JvDNqe7bhAkTJkzMDMwRubMA69atO9FNmDUwz0US5rlIwjwXhcMJmzlLCGG6PiZMmDAxSQgh\nkNMI5E5nRK4JEybmOISYMneYOA6YCWFskr4JEyc5zB737MRMPZBNT9+ECRMmTiKYpG/ChAkTJxFM\n0jdhwoSJkwgm6ZswYWLO45Of/CT33HNPwdfNhba2NoqKiojF5lbVeDNl04SJkxjx9L8T3Yw5iba2\nNhYtWsTY2BhFRYXXz9l+m+mmbJpK34QJE3Mac01pn2iYpG/ChIlZiTfffJN169bh9Xo5/fTTeeYZ\nVc395ptv5pOf/CTvfve7KSsr49VXX+Xmm2/m9ttvT2x77733UldXR0NDAz/60Y8oKiqipaUlsb22\n7oYNG2hoaOC+++6jtraWuro6Hn744cR+nnvuOdauXYvH42HBggXcddddx+8EzBBM0jdhwsSsw+jo\nKFdeeSWXX345vb29fO973+NDH/oQ+/eryfoee+wxbr/9dgYGBnjHO96BECKR1/7iiy/yne98h1de\neYUDBw6wYcOGlH3r1wXo7u4mFArR2dnJj3/8Yz796U8TDAYBKCsr42c/+xnBYJDnnnuO+++/n9/+\n9rfH5yTMEEzSN2FiDuDee8HvP/7HFaIwr8nitddeIxKJ8C//8i8UFxdz0UUX8d73vpfHHnsMIQRX\nX3015557LgA2my1l28cff5xbbrmFU089FYfDYajO9V651WrlG9/4BhaLhSuuuIKysjL27dsHwIUX\nXsiKFSsAWLlyJTfccAN/+MMfJv+FZhFM0jdhYpYjHIavfx0OHjz+x5ayMK/JorOzk8bGxpRlCxcu\npKNDzcfU0NCQdduurq6UbXOtC1BZWZkSiHU6nQwMDADw+uuvc9FFF1FTU0N5eTkPPPAA/hPx9C0g\nTNI3YWKWY/16GB2FaPREt+T4oa6ujqNHj6Yo8sOHD1Nfr6bbzlWiYP78+Rw9ejTxXv+/hnxLHHzw\ngx/k6quvpr29nUAgwCc+8Yk5Hzg2Sd+EiVmO559XfwcHT2w7jifOOeccnE4n9957L6Ojo2zYsIFn\nn32WG2+80TCNUT+r1HXXXcdPfvIT9u7dSzQa5e6778667kQYGBjA6/VSUlLCxo0b+cUvfjHni9SZ\npG/CxCyGlIr0V68+uZS+1WrlmWee4YUXXqC6uprPfOYz/PSnP2XZsmUZgVhIDc5efvnlfO5zn+Oi\niy5i2bJlGd5/+va5SPwHP/gB3/jGN3C73dx9991cf/31GcedazAHZ5kwMYuxZQvccAO8/e1w6aVw\n002F3f/JMDjrzTffZOXKlYyMjMzIIKqZgjk4y4SJkxDPPw/veQ84HCeXvTNd/OY3v2F4eJj+/n6+\n+tWvctVVV80pwp9JmGfBhIlZjOeeU6TvdJ5c9s508T//8z/U1tayZMkSrFYr999//4lu0qyBOYmK\nCROzFL29sGcPXHABvPKKqfQngxdeeOFEN2HWwlT6JkzMUvzud3DxxWCzmUrfROFgkr4JE7MUmrUD\npqdvonCYMukLIa4VQuwWQowLIc7QLW8SQgwKIbbGXz8oTFNNmDh5MDamlP67363em6RvolCYjqe/\nE3g/8IDBZwellGunsW8TJk5q7N0L1dVQV6fem/aOiUJhyqQvpdwLc3NwggkTsx09PUnCB1Ppmygc\nZsrTb45bOxuEEO+YoWOYMPGWRU+PUvoaTKVPRs382YLpTJt4IqZczKn0hRDrgXkGH90mpXwmy2ad\nQKOUsj/u9T8lhFghpQynr3jnnXcm/l+3bh3r1q3Lt90mTLyl0dubSvqm0s8sn5ANTU1NPPTQQ1x8\n8cXHoVUzjw0bNmTMCTAd5CR9KeW7JrtDKeUIMBL/f4sQ4hCwFNiSvq6e9E2YMJFEby/U1CTfm6Sv\nkE/JiIlKS4yNjVFcPHeGKKUL4unO3lUoeyfx+BVCVAkhLPH/F6EIv6VAxzFh4qSAae/A1q1bOeOM\nM3C73dxwww0MDQ0lPnv22WdZs2YNXq+X888/n507dwJw0003ceTIEa688kpcLhff/va3ExbKQw89\nxMKFC7nkkksAeOihhzjttNOoqKjg8ssv58iRI4n9FxUV8cADD7Bs2TK8Xi+f+cxnEp/FYjG+/OUv\nU11dzeLFi3nuuedS2h0MBvmHf/iHxHSNt99+e8K+mWjb4wKtzOhkX6jMnaPAIHAMeCG+/BpgF7AV\neAN4T5btpYmp4557pNy48US3wsRM4QMfkPLxx5Pv9+yRcvnywh9ntt6Hw8PDcsGCBfK//uu/5NjY\nmPz1r38trVarvP322+WWLVtkTU2N3Lhxo4zFYvKRRx6RTU1NcmRkREopZVNTk3zllVcS+2ptbZVC\nCPmRj3xERqNROTg4KJ966im5ZMkSuXfvXjk+Pi7vueceed555yW2EULIK6+8UgaDQXnkyBFZXV0t\nX3zxRSmllPfff79cvny5bG9vl319fXLdunWyqKhIjo+PSymlvPrqq+UnPvEJGY1GZU9Pjzz77LPl\nAw88kNe2emT7beLLp8zdZpXNOYp16+Cyy+DWW090S0zMBP7u7+Duu+HCC9X7w4fVssOHC3uciawQ\ncVdhsvPkHZO71//4xz9y4403JmbKAjj//PO5+OKL8fv9VFVV8a//+q+Jz5YvX86DDz7IBRdcQHNz\nMz/+8Y8Tnn5bWxuLFi2ipaWFpqYmAK644gquvfZabrnlFkApcJfLxd69e2lsbKSoqIg///nPnHfe\neQBcf/31nHnmmXzlK1/h4osv5oYbbuAf//EfAVi/fj2XXXYZY2Nj9Pb2snDhQgKBAHa7HVDz+T74\n4IP8/ve/z7ltekG4maqyOXeMLRMp8Plgx44T3QoTM4V0e+dEefqTJetCobOzMzFLloaFCxcCagat\nRx55hO9973uJz0ZHR+ns7My5T/0UiocPH+bzn/88X/rSl1LW6ejoSKw3b14yh0U/hWL6dIwLFixI\n2e/o6Cjz589PLIvFYol1cm17vGCS/hyFzwfbt5/oVpiYKRhl75xMnv78+fNTVD4oQl28eDGNjY18\n7Wtf47bbbjPcNluGj375ggULuP3227nxxhun1Da9/6//v7GxEZvNht/vNyzlnGvb4wWz9s4chJTg\n90NrK+hiWybeIhgbg1AIKiqSyzSlf7I4oueddx7FxcV897vfZXR0lCeffJJNmzYhhOBjH/sYP/zh\nD9m4cSNSSiKRCM8991xCidfW1nLo0KGc+//EJz7BN7/5Tfbs2QOo4OsTTzyRdX2ZjEVy3XXX8d3v\nfpeOjg76+/v593//98R68+fP59JLL+WLX/wi4XCYWCzGoUOH+OMf/zjhtscLJunPQQSDKptj2TJV\netfEWws+H3i9YLEklxUXq/ejoyeuXccTVquVJ598kocffpjKykoef/xxrrnmGgDOPPNMHnzwQT7z\nmc9QUVHB0qVLefTRRxPb3nrrrdxzzz14vV7uu+8+IFP9X3311Xz1q1/lhhtuwOPxsHLlSn73u98l\nPs81HePHPvYxLrvsMlavXs3b3vY2rrnmmpT1H330UUZGRhKZQddeey3Hjh3La9vjATOQOwdx8KAK\n4p53niq9+9GPnugWmSgkdu5UUyTu3p26vLwc2trU30LhZJguca7CnC7RRAI+H1RVwapVZjD3rYj0\ngVkazAFaJgoBk/TnIDTSX73aJP23ItIzdzScbMFcEzMDk/TnIPRKf/v2kye4d7IgPXNHg9NpKn0T\n04dJ+nMQPp8ihdpaKCqCrq4T3SIThYRp75iYSZikPwfR2wueyiEkMdPXfwsim71zMtbfMVF4mKQ/\nB+HzwW8tH+apvU+xerU5SOutBiN758rHroTytoIp/e9/HyZIZTfxFoU5IncOwueDgeXtvNH5BqtW\nfYCXXjrRLTJRSKTbO4cDh3l2/7NcUHYr0WhTQY7xy18mB3+Zs9+dXDCV/hyEzwcR6WNHz45EMNfE\nWwfp9s4z+9V8RVbHYMGUfigE3d2pVXb/9V8lX/taZlXGO++U3H771Ks65vMaG5MUFUnWr5943Xnz\nJJ2dyfeHDkkWLsxc7wtfkBw5krqsrU3S0KD+P+ssyV/+MvHxYjFJSYlkcFC9v+02yV13zez50I8A\nLjRM0p+D8PkgNNbLzu6dnHaa6qYPD5/oVpkoFNLtnaf3PY3NYsNiLzzppy9zuTLXdbkgnDHvXWHh\n80EspgYeToRwGMrKku/r6qCzU22vYXwc/ud/4E9/St22rQ3ihTY57bT8RrSHQmCzQbxoJkuXwoED\nE283W2GS/izGSy/Bv/1b5vLevlEiY2F8UR/DhFi8GN588/i372THt74FOcq1TAnpdXeCQ0H+1v43\nLm6+GIs9WrBAbiikehR6hMPgdmeu63ar9WcSWgbaRGQai6lgdmlpcpndrkYp67/PoUMQiWQmOUyF\n9NN7XsuWwf79xu2fCzBJfxbjr3+FV15JXTY2BsGRPiocFZxWfRq7enaZFs8Jwvr18IMfFHaffn9q\n3Z3fHfodFyy4gOrSaopKCqP0pZx9Sv/YMZV+PJHSj0RUFlN6AcuGBmhvT77ftk31BgpB+uk9r3Sl\n/8IL0NioeitzASbpz2K0tqqLVI/+fnDV9lJdWs3KmpXs7N6Zc2TuV74CTz894009KbF/v3ow68lm\nukhXlU/ve5qrTrkKZ7ETSgqj9IeGlHhIJ/1sSv94kH5XlxphPhHpDwykWjsajEj/7/8+UwxNlfT1\ngfWqKtXj8PvVg/LjH4cFC+Dllyfe12yASfqzGG1tcOSI8ic1+HzgnuejylnFytqV7OzZydKl0JJl\nFuK9e+HVV49Lc98ykHLiUc5DQ0qd3nAD/OpXhTu2nmBGx0d54eALvHfZe3FYHQhrYZS+ZtVkU/qB\noUDKcrf7+Cj9889X17Hem0/HwIBxb8SI9K++Wq2vV+B60l+4MB4fm8C6Sn8QC5G0eL7yFVX88Itf\nBF2RzlkNk/RnMVpbFfno/UKfD5xVcdKvUaTv8ahyy0YIBmHLluPT3ukiFoMNG050K+DTn4Zf/zr3\nOi0tijRuugkee6xwx9ZbCX85+heay5tpcDfgKHZAAUm/rk6Rmf7hFg5DSekg8749jy1dyYvG5To+\nnv7ixSqWkavnlB7E1WBE+mvXwsqVqmqpBj3pWyywfLkSRrlgNG5i6VIVKH7uOfj2txXxv/RS4Uqi\nvPrqzJVXMUl/lmJkRKmftWtTLR6fD2wVvVQ5qlhVu4od3TtwuWTWmzIUUjdALvU0W7B7N1x33Ylu\nhTrvEwXG9+9Xau+ii6CjIzOwN1XoVaVm7QA4rU6kpTD2TiikSniUlKSSeTgMwhZieHyYTz//aWJS\nXTTHy9OfPx+WLMlt8eSj9Lu7VU+ssZGUeNfYmMry0c1WmJfFY1QWY+lSePhhuP9+8HhUu2022LVr\nwq+aF666KnvvfbowSX+W4sgRpcaWLMkk/WK3j+rSaqpLq7FZbAyVdGRV+qGQqtcyUxdQIdHSomIW\nJ7qAXDSqzn8uHDigbnyLBa6/vnBqXyMYKWUK6TusDmRx4ZS+262Oo7d4QiHAHqK5vBkpJQ9vexg4\nPvZOVxfMm6fOaS7Sz0fpb98Oa9YoG0Yf7+roUN+5pCS53YoVE5O+UVmMd74TvvxleO971Xshkmp/\nupBSXYMzlRZqkv4sRWsrNDerrmg66YtSZe8ArKxdSfvozpz2ztlnzw2Lp7VVqbFI5MS2IxqFo0dz\nr6ORPsAHPwi/+EVhHlaaldAaaCU6GmV17WoAHMUOYkWDBVP6brdS+3rSD4chVhzCY/fw/Xd/n9te\nuY3+wf7jYu/olX4usstH6W/bpkgfUuec0Fs7GvJV+umkf8EFKmVXj0svndjXn2DudkD18mMxk/Tf\nshgbg//+78zlbW3ZST9m05F+zUpaIzsNb0otNW/durlB+lpvpL//xLYjH6Wv2TsAZ52lgu2FOMea\nquwIdbDIuyhRIsFpdTJeFC2o0q+tTea2j42pAX6jRWHcNjdn1p3J+5e/n9tfvR2bTa0zkwMAjx1T\nSn8ieyeb0q+vV6QvZSrpr1ypSH1sbHqkb1T1NB0XXwx/+1v2onixmPp+Ez1Ate1nHekLIb4lhHhT\nCLFdCPGkEMKj++xWIcQBIcReIcSlhWnqWxPt7fDZz2Z2n7Mp/d5eGLH2Uu1U0mNlzUr29u0kFsu8\nKYeGVD7zuefC1q0z+jUKgtZW9fdEk34kokg/l3LXK30h4MYbC2PxaATTE+mhujQpLx1WB2OisPaO\nXumHw3HvfiSEq0RJ6f/7zv/LE3ueYHfP7hm1eAYGFCG6XBPbO9lSNktLVf6+359K+mVlyiY9cMCY\n9Jub1QMnV+8yW9XTdHg86rjpo4A1BALKap2oF6mRfqHiROmYjtJ/CVghpVwN7AduBRBCnAZcD5wG\nXA78QAhh9iiywO9Xf9Pz7FtbYUHTGLUN0QylP1SUau/s7NlpOGpSu7nXrlUq9ER75ROhpUWNrDzR\npB+Nqldfn/HnAwOqjQ0NyWWXX579Zp8MNCuhN9pLjTMpLx3FivQLae/oPX0tXTM8rJQ+QIWjgnc2\nv5Ntx7ZNaPE89tjUezqayhdCZfAcOpQ98UB7OBmhoUERZVubysrRoAVzjUi/uFg9aPQZPnpImX1S\nGyNcdll2i0e71yfqRUajql2zTulLKddLKbWf5nVAuwXeBzwmpRyVUrYBB4Gzp9XKtzC0C2HbttTl\nra2w1/Yo//nmpzl6NJmr7/PBQCxJ+qdVn8Y+/z7c5aMZvn4wqNTH/Pkq4FjIQUSFhpTqO59xxuwg\n/fnzs9+cBw8qctKPCq2tLcyITE1Vpit9p9XJqCy8vaNX+m43hIaTSh/AbXOrZRNk8Pz858Y2ZT7o\n6lLnG5Qy93iye9/ZlD4o0n/xRUX4+mCtFsw1In1QvbT77jPeZzCoyjxodXcmQi5fX7vX81H6S5eq\nwPPISH7HnQwKpcBvAZ6P/18H6OmlHagv0HHectCIIp3029ogULyXluABKiuTufq9PklgtDdB+k6r\nk0Z3I7b6/Rmkr93cQigyTVdis2lCju5udTM3Ns4O0l++PDvp660dDVVV0yd9fd2d3kgvNaU6pW91\nMELhA7map59Q+iNJpQ/gKnERHglPSPqdnfDUUzA6Ovn2aEpfQy6LJ1sgFxTpP/ts0trRoAVzs5H+\nZz8Lf/6zcU9lMiof4Mwz1bVsROyTIX2PR32fmci6y1lPXwixHphn8NFtUspn4ut8DRiRUv4ix64M\njYU777wz8f+6detYt27dBM1968HvVxepnvSjUaUwesdaORw8nPD1GxrAF4hSJASlJcmKU6tqV7Gn\ndieh0IqUfWtKH5Kk/773qfdHj6p0tfZ246H3xxstLcpf9XpPLOnHYsp3PeWUyZG+x6N+t5GRVJU5\nGejr7vREezh/wfmJzxzFDkZjM+vpJ5S+LcmqLptLWT4TFF3r6lLbv/qqUruTgZauqUEL5hrRQbZA\nLqj748EH4eabU5evXq2ufb8/NUdfQ2kpfO1r8PWvw/PPp342WdK3WFRmz9/+lnksv1/1DvMhfadT\nJQocOADHjm1gQwFHLeYkfSnlu3J9LoS4GXg38E7d4g5A/3Ub4ssyoCf9kxV+vxrg88MfKqVXXKwI\nfsECaAu00hHq4LymEdraSjjrLOXnz4+rfA0ra1ayo3InweANKcu1mxsU6T/8cPKzu+9WN5DfPztI\nv7UVFi068aQ/NKS68k1N2W/O/fvVja2HEFBZqc6nZlVMFvqAYU+kJxGsB9WjG4oVbnBW1kDucJhm\nb3NiXVeJi8PBwzmV/tiY6uXcfbcayZyL9AMBNYjJ4Ugu09I1NeRK25xI6UOm0m9qUm1Pz9HX42Mf\nUyNr//Sn1N+2pye/zB096uoyS1yAujaWL8+f9BctUufhi19MFcR33XXX5BqUhulk71wO/DPwPinl\nkO6jp4EbhBAlQohmYCmwcVqtfAvD71cXZUMD7NunlmmZOy39LZSVlFHR1E5bm1rXMz/p52tYXrWc\n4bL9GUosGITOxu/ylyN/SQRzQV1Iv/mNKiOQLb//eGO2KH3thmtsnJzSh+lbPPrUQCN7Z3h85gZn\nactCI6FUeyeu9HORfk+PeuBdf726rsbGsh/785/P9P4nY+9MpPRBKXs9iopU6qaRtaOhpATuugtu\nuy014WGySh/Uee3tzVze16ceSPkEcp1OdR5mIoNnOp7+94AyYL0QYqsQ4gcAUso9wOPAHuAF4FNy\npqaAeQvA71c3jN7iaW2F+c1BRsZHWDt/LY75bbS1KUIpi1fY1MPr8BIrCRh6+j7X73n+wPM0Nam0\ntO5u+MY34AtfUMQ2m0h/Nih9rXTvggUzQ/otLXDNNcaf6QkmI2Wz2EF0NIqUU/PN9dAI3u1W+4pG\nU5V+RiB3JJQzZVMLxDY3KyHxxz9mP/aWLbB5s/H2GnLl6ucK5C5ZAqefnrQ09Vi9OjfpA3zoQ4qY\nX3ghuWwqpF9dbUz6fr9qhzaeIBvS7Z1CYzrZO0ullAullGvjr0/pPvumlHKJlHK5lHKO1J47MfD5\nMkm/rQ3cC1pZ5F1EU3kTwns4QfqOqkyl77a5iRWHDEk/Zg2x9djWRDD34YdVUbPPfY6chdqONyay\ndzZvhmf805xVAAAgAElEQVSemfl2aBN0ZCN9Ldd6nkGkKx/SP3JEBRuNsjI0e2c8Nk7/UH/K7+y0\nOhkcG8ThYNpqXx/g14K5WiA3NBzKDOTGlX42T19P2n//99mL1Q0NqZpG6QHTdKWvkb4RMeZK2Vy0\nKHuJ8euvh2uvNf5Mg8UC99yj/H0tZXQq9k51deYENaBIf8ECRei5rhO90p9VpG+iMOgNRPn24esy\nlH5xdQvN3mYWehYy7EgqfVu5jypHKul7bB5GLUFDe2fMEmTbMbXjM86A22+HW29Vaqm8XJHYbMBE\n9s6LL8KTT858O7QbTqtCma6qNZVvNJd4PqQ/MKAI32gUaEeHIs++wT48Ng/FRcmQm8PqYHB0EIdT\nFoz0Ienr5wzkTpC909mpzheoXsyTT6aWA9ewe7cKkHd2pj5A0pW+y6VeRrNR5VL6YPy7gAoKX3VV\n9u00XH21iqtpD65C2jtar76xMbevr12DCxao/RQ6y84k/ROMnqEOXjn2BPXLutm2LZmvPu5qZVH5\nIhZ6FhLkMEePqpuzyJVp77htbkaEsdIfKQrSNdBF90A3b3uburk+/nH1+WxR+iMj6rs1NmYn/e7u\n49NW7YYrLlbqsyMtBSGbtQP5kb5GnEbpgZs2wdvepgZmpf/GRaKIEksJjrLhaZOAnvQ1Xz9nymY8\ne2ciewfUuZk3D/7yl8z1tm1T32/VqqTAGR9XZJhOrNksnlyB3EJACPjmN5U4GhsrvL2TL+mXlqqe\nR3OzGqxWSJikf4LRP6SSd7vZgRBKBbW2QqhYKf2m8iaOhtuorIyPGnRm2jseu4chGTQcnDVMiBXV\nK9h2bBvXXqtsEq2Wyoki/RdeSFUvhw+r2inFxSee9DVPH5TSSr85DxxI1txJR75KX4jMshjj44r0\nzz5b+fn6IK4Gh9WBrXR6wdyREdV70bJnNHsn2+AsvdLPx96B7BaPVh5Bn1SgBYGL0/IIs2Xw5Ark\nFgqXXKKux0ceKby9U1GRO0kAksIDZsbiMUn/BGJ4GEaKFUvs6NnOmjXKbx8dhWNDrTSXN7OwfGEi\nV3/zZhi3ZZJ+qbWUUTlEIJSaNhEKQTQW5MKFF7Lt2DaKilJVy4ki/c9/Hn75y+R7LYgLSdJP93M1\n33mmoZ9028jX379/+kp/1apMpb9nj7JIKioy0zU1OIod2MqmR/oauWs2iN7eSS/DAPmNyNXbO6DG\ngjz7bOZvqJG+fqBgup+vobExs5elVZ/URMtMQVP7d92lvttklX5FhbpW07OYJmvvgPEk7NOFSfon\nEH4/lFb7sRZZ2dG9gzVr1KjG5mZVWneRdxGN7kY6w50saBpj504YtvRmkL4QAmexm75IKiv2h4YR\nwDkN57D1WGbFtRPl6ft8qhSxBi1FFdQNXVyc6WMeb3sHjEk/l71TXZ2f0r/gAlULRu97v/YanHOO\n+j89XVOD0+qkpHR6ufp6aweSpK/sHalUvd7Tn6S9AyqDZng41Z6JxdR3Xr1akb7W00nfVoM25kEP\nzc/P5tsXEueco3okU7F3LBYlXvTtHxpSYq6szLgHqYep9N/C8PvBUeHn7Q1vZ3u3UvovvABNzTHa\nAm00lTdhK7ZR5ayisqmTsTEYFD5DFeiyugkOpZJ+YChImdXNmnlrEsFcPU6E0tdKDbzxRjJQp1f6\nYGzxzAbSHxlRYymma+80NCh1q1dwetLPZe+UTNPeSSd9zdMPh8HqjGKz2FICyLZiJattzuGc9o5e\n6QuhBmjpJxRpbVW/a0WFGgl+6JA619mUfjbSn0k/Px333KNsnnzr7uiRbvFoKl+IySn9mcjVN0n/\nBMLvh5JyHxcuvJD9/v2ctmqESARqFh3DY/MkSi00lTfhrDsMQHg8094B5esHh1NZMTAYwm3zsLxq\nOUeCRxgYGUjdZgZJf8MG43zt/n7Vw3jf++Dxx9UyLV3TF/Vx1WNXZZD+yIhq5/Hy9DV7J917Xb9e\nqdjKSuNt87V3ysoyayGlKP1ob1Z7x+qYXv2dXEpfOFIzdzS4bC6EPWyo9MfHFbnV1qYuT682qS93\nbLOpLJ6dOydH+sfDz9dj5crUsuaTQXoGj0b6MHl7x1T6cQwMJOe+nKvw+8FS5qfB3UBTeRPj3jex\n26G0oSVlKPxCz0KEtw1EjPBoPxWOiox9eexuwiOpUmxgNIjH7sZqsXJa9Wns7E6tH1tePnNE+vTT\n8NvfZi73+RQ53nhj0uLR0jX39O5hQ9uGDNLXRqqOj8/sRB6QW+n/4hdqliw99OMOq6qMszb00NSq\n3uIIBNRxTj9dvc+m9J1WJ8WO6VXaNCJ9LZBLSaqfr8Ftc2clfZ9PiYf08gaXXAJ/+ENyPIKe9CH5\n0JuKvaPHxo6NbOrYlP0LTxPpAeZ8kZ7Boyf9+nr1vY3SWiH1GqyrU79NIeNZc5b0X34Zrrwy+4mb\nC/D7AaePSkclq2tXs8e3g9WrwVKlgrgaFnoWMuI4DPZ+XDYXVos1Y18VpR4GY8HEoJJYDCLjQbxO\nNTxx7by1Gb6+xzNznn5/vzEBaqT/zncqFXXwYFLpt/S3EB4J4/GOpZB+d7ciJ49n4os/FpveiNVs\npB+JqOCkfoDPP734T3x/0/cT753O5Pym2aCpVX0Gy6ZNqjqjRjDpo3E1OKwOiu2FtXf0Sj9mDRmS\nvqvERcwaMjz36daOhqoqpVL/+lf1PhvpT9feueeP9/CzHT/L8m0Li95IL+Ox/Agnm70D6gGpr5yb\nDv01KEThff05S/qhkOoi6YdMz2a88oq6aPXw+2Hc5qfKWcXq2tVs797OE08kR+NqaCpvIijaOPcS\nY2sHlNIvcYUSx4hEoMQVwmNXN3G6r++L+rj+92fQP0MT0vb3Z09bq6pSBHfddXD//YqkKyvhUJ9K\nSC6tDGQl/Yl6Jr/6VXIcwlSgv+HKy9VDJBhUo4HPPTc1fW/rsa0phCPExBaPRlz6iW301g7EJ1Ax\n8vSLHRTZC2vvaJkmw8MwVpRagkGDy+ZiVIQZHc3MSOnszF5gTj9R+LZtqTVxtJ7OZJR+ur0THY2y\nvmU9HWHDeo4Fx02/uYln9z+b17q57B3IHczVX4Ngkn4CO/tfp+T6j/DDH57oluSHW25R3V09fD4Y\nLfZT6axkVe0qtndvp7ERDodaUpV++ULaBw7zrf/OQfo2D/by5KjcUAgc5UE8NqX000n/jlfvYJd/\nK8ERv9Hu8oKU2WeXykb6WtkJUBbPD3+oVL4Q0BJQxcMd3kzSr6nJj/S7u1WQeKqIRGBP0a/Y2b0T\nIZI3p5G1s9+/nx3dOzgSTHpAE5G+Rlw1NYr8W1szST+XvWOxFdbeKSpSbS4rU1MlZlP6A1lG5WYj\nbUj6+j6fOq6+9s2qVSpN9cgRY6Xv8agHpP4hk670X255GXuxnfbQ8ZkdqDPcyV7f3rzWzWXvQG5f\nXz9WBNR1t2DBFBqcBXOW9DsirYwu/xl/2dk+YdW6E41jx9TFnT4hgt+vsnGqnFWsnreaHd2qcEhr\noDXF028qb6It0GY4UlOD26aUvkaKwSCUuEMJ0l9Vu4rdvbsZi42xu2c3T+x5ggZ3A6OW4JRn59m8\nWd3YRujry23vQFI5a+maLf0tauSpp99Q6U9U0x0UKe3dm7vSYy5Eo7Bj9H9Z37IeUDfbtm3qgX31\n1cn1QsMhQsMhbjz9Rn69JzkSKV+lD0rtvvGGIv23v10tG4uNERoOGcZtHMUORElhlP71v76ePx1W\n8zsmzu1w9kButlIM2ewdUA+yQ4dUAHz16tSZxkpLk+WrjR4aRUWqp6UXFelK/+l9T/PRNR89bkq/\nN9rLwb4cE/jqkG7v9PXlT/rpSv/974fzzptCg7NgzpJ+cDCMFDGW3/AoP/pR/tvNxEw0E2HTJuNj\n+/ySiPRT6aik3lXPWGyMYwPHaOlvSbF3FngWcDR4lJ5IT0bdHQ0emwdrWXJUbigEJa5gQrm5bC7q\nXfXs8+3jSy99ia9d8DUa3Y2UVmZW58wXra3qgWYETemnD9DRk74QcNNNcOqp6v2hvkOcVn0axWWp\npK9lh+Sj9EMhFTzMNbl2LkSjMF4UTaj3BQvgO99RKYh6hXzAf4ClFUu5/vTreXz344nl+Sp9UBbP\nE0+oh4BGfL6ojwpHBUUG00o7rA6wZlf6PT3wrnfltgI00j8cOMyhfmWn1dbqSjCUGARyS9xZi67l\nsnesVlXz5lvfyqxxD+qhV1qaPSMn3eLRPzBjMsaz+5/l42d+nO6B7ry99qkiJmP0Rno50JefzzKR\nvZNrVG466Rcac5b0wyNhmizn0VnzEx78kcwreDc2prqV2ebfnCls2qSIrbU1dXlPIIy1qARbsQ0h\nBKtrV7OpYxM9kR4a3MlZt51WJx67h909u7PaO26bG4szGWwLBsFSGsRjT9aZXTt/Ld/88zdpC7Tx\nqbM+Rbm9HKc3s3xDvujoyPRdNfT3Kz88nSQ0T1/DHXeofOjwcJjIaITlVcsRTmOlnw/pa0p09+7J\nfx9QN9woEY6GlAxbsEB57+nWzj7/PpZVLuOipos42Hcw8ZCYrNL/zW8yrR2jdE1Q14GwGgdyOzrg\nwgtVzZtcaYaJuvnDIXoiSormo/RDw8bllXPZO6B6glu3Zif9XNtWVmZX+hs7NlJdWs0pVadQ4aig\nO2Iwa0kOhIdzzP1ogP7BfmIyNimlXyhPv9CYs6Q/MDLACufFlDlKqD7zzzybR3xl717llx3vAUkb\nN6rSrhlKP+LHa0sy4KraVTy972ka3A0pA2RAZfBs7tqcI5DrQThSlX6RPdWjXVO7hl/s/AXfvvTb\nWC1WPHYVB5jq+WhvV2V+00loeFgFZxsbMy0evacPavSixRK3tMqbqbBXgH3qpB8KqRtq166pfadI\nBEZFlKPBJOm73XDFFanr7ffvZ1nlMqwWK1cvvzph8eRD+hpxnXGGEiIpQdwso3FB2TuyONPeaW1V\no3xvuQUuvliN/swGPel3Dyii1OIL6SUYNOSaJzeXvQPJWbSMSP+CC5JpqkYwUvrauXt639NctUyV\nzWxwN0zK1z8SPMIp/31K3uuDsnYWVyzGP+gnOjqxv5Yrewey2zvj46qnOpOlJuYs6UfGwnjsLm5Z\ncwvlFz3EAw9MvI0W4Ms1wbMRYrFkfe3JQsok6be2ptod/kE/VaXJK2F17Wqe3v90ShBXw8LyhWzt\n2prT08eW6uljTwZyAd61+F18ZPVHeM/S9wDKEipxBaectqnVRklX+9oALP3E2xr09o4emqVVbi9n\n3JpJ+jU1+Xv65547PaU/IpP2zt/9nbJ30kdlaqQPcN2K63hizxNAbtIfHla/v5bTXl+vvlc+QVxQ\n9o60pNo74bBS+F/+MvzzP6t25kv6PVEDpZ8le2cq9g7A4sVqGkUjcj/rLNXTyYZ00tfX0n9639Nc\ndYoi/Xp3PR2h/H39g30H6RroojcywaAKHXoiPcwrm0dzeXMiyywX0uvv5Ev6g4NK5c9kqYk5S/qD\n42HKHS7+z6r/w46R3/DnjeEJVaA2Y89kSf/f/135klPBoUNKnSxfrjxOjRDGx2Eg5qOmTEf681bT\nE+kxJP0mTxODY4M5s3di1tTsHVmSqvTfVvc2Hr76YUT8ivLYPBSXTc/eAWPSr6gwrjaYjfQP9R1i\nkXcRXoeXkeLpefrTJf3hWITuSDfDY8MsXKgUdDr2+/dzSqVSixc1XcQB/wGOBI/kJH3N2tFuaCGU\nHaMFcSH7aFxQ9k7Mkqr0d+9W5+ZT8SmMJppkJRSCMleM8Eg4ofRXr1av9LLKGrIpfSnVA9ko+0aP\nr399apPFZ1P6h/oO4Yv6OKv+LAAaXJNT+q39ymd90/dm3tv0RtTvsrRyaV6+fnr9nXTSr61V90n6\nYMOZtnZgDpP+UCyMt9RFbVkt65rW4TrniQknHN68Gawfvoqe4OSGt3V2Tr3+xcaNqlwuqNREzdcP\nBMDu9VNdmmTA06pPwyIsKUFcDQvLFwLk9PTHi1OV/nhxqqefDo/dQ5FzevZOQ4Mx6Xu9SsWmk366\np69BU/peu5dhkSR9fb31fD39s85SD9upZCVFozA0Hs2ZCiilZL9/P0srVeU1vcWTi/SNyggsWZKq\n6nIq/WIH40Wpnv6hQ2ofGvJR+sXOgcSxQFkw3/hGdk/fbXOrB0Kap+/3q+8zldo0Rlj9w9V0hZMj\nlrIFcp/Z/wxXLrsyEeyud9dPjvQDcdLvzZ/0td9liXcJB/z5BXM10ROLJYWQBotF9ZDa05ptkn4O\nDBOmskxdoLesvYXB5Q/lDNCOjcG2lk5GFz1DZ9AggTwHAoGJZ7DPBq1G+nf+9h3mL+tK+Pp+v5r6\nsNKRfPzbi+2cUnVKSrqmhqbyJoCsKtBj9zBSlKr0Ry2hFHsnYxubhyL71Eg/FlMPw1WrcpO+3tMf\nG1OkUV6eub+WQAuLvYvxOrwMykCivLLfr8jeas2f9KuqVDrgVB7UkYgi/WWVyxLB3HR0R7qxFdtS\n0irfv/z9PHfgubyUfi70RrKn5TqsDsZFNIP0Fy/WrZOH0hf2EBZhyQh+ZlX68UBuur0zkbUzGYzH\nxtnVsytFfRvZO2VlivQ1aweUpz+ZtM22QBuraldNSulrpL+0cmnewVzt+g8GVZZSekkHo2CuSfo5\nMCIGqIzfQVcsuYKoawf7j2afUXvPHqhcqXIn/ZP0d6ZD+hs3wtveJrn7j3djafprCunbvf4M5X7f\npffxrkXvytjPQs/ESn+YUEogd0QEDW9iDR67h1hJpqe/a5e6IOvr1Wvx4sxBWD6fIrD6+kzS7+sz\nVvp9fYrwiwyuOr3SD430U1SkyEsL4g6PDWMtHcjL3nG7VSXHqVg8kahkcCzKKZWnJIK56dD7+Rqa\nypvoCndNWumnoyeaXek7rU7GRKq9c/BgKunno/RlSYim8iZ8UR8xmQxWpc+Pq0E/T67+1pkoc2cy\n6I32ZmTHZFP6B/sOsrJ2ZWJ5vWvySv+KJVdMzt6J225LKpbknbapZfCkWzsaGhpMpT8pjBWFqfao\nO8hqseKhkb2d2X/4zZuhfIUi/UB0IOt6RtBIP9cM9kYYHVUDe8oXH6B/qB9LVWvC3vH5wOJSo3H1\nuGzJZRnLQJFKlbMqK4l7bGr2rEBQNTIYhEGZ295RQdPMPP1du1QO+caN6lVRkUmgHR2K8NPT6iC7\np5/Nzx+PjXM4cJim8ia8Di/9Q/2JomtaEPfBLQ/yy97b8grkulyK9CebwROLwdDoCEWiiEXeRSkj\nbfUwIv0qZxW+qC9B+kbXSj5KfyJ7Z4zc9k4upT8+rkhlzBKiylmFq8RF32DyxwsPZy/DYGTvTJS5\nMxkcG1ADPvRB0mxKP72dU1H67176bvb0GkxUnAUJpV+Rv9LXrv9spG9075iknwPjljA15ckfvtJW\nR5svu7+zeTOM1WyiCCv90ckr/amkeu7apWyG3YHXEQhGna0pSl+Upto7ueCyuTj6haOJIGw6bMU2\nBIJAWEWGgqEYw7EBw5tYgzahevr36uhQ6lFT+qeemjngR/PzjWqkZLN3ND//msevSan42RHuoNJZ\nicPqwGv30j+YJH0tiNseaicie3P+BmNjKjDmdKpskVxK/5VX4LOfTV02NAT2siilJaVqQFwWe2ef\nbx/LKlJJv8JRQf9QP9aSGHa7cbJAPkpfCxgawWF1MCJTJ1FJt3dyKf2BAWUzhEdUD7CmtCbh60N2\npe+2GQ/OKqS90xXuQiA42D+x0h8YGaCsJHkiNU9fpj1pP/nsJ2kLtKUsGxobwh/1c27Dufij/rzz\n9bXR8A3uhrzTNrXrPxvpG01iZJJ+FoyPg7SGqfEkCa2urJ72HGlbm9+QdLKJJss5BIcmR/pd7mdw\nrH4+oys2EbQg7mvtr3Fh04WELG0Jpe/3Q8yWae/kgr04d8SszOqhP6pYsT8ygN3ixFJkybq+x+5h\nRBiTvl7BGU3Zplf6+QZyNaW/sWMjP9/588Ry/Qjkcnt5htKvrVU+ut6+MoKm8oWY2N7Zv19ZfnpE\nIuDwRHFanTS6G7OS/v6+/ZxSlZrnbbVYKSspIzgUzGrxTFfpO61ORmRS6Wsld/XEa7dnV/r6dE23\nzU1tWW0igwfImDVLg5a9s3atKqmgDf4qpNLvGuji9JrTJ1T6VrsSNdrkLgBlJWXYLDb6h5L27lhs\njIe3P8xfjqTO0H44cJgGdwNWi5VllcvyrqWj/S6WIkveaZsT2Tte7xwjfSHEt4QQbwohtgshnhRC\neOLLm4QQg0KIrfHXDwrXXIWBAcA2gFt3gS7w1tEzaKz0R0ZgZ/shPI4y5pUsYWB4cvZOqPL3eM58\nYdK+vkb6r3e8zg0rbqB7uJWODqVI/X4YtfoMrZypwlXiJjispFhgMISrJLu1A0rpD8pMT18jdA1G\nVf5ykX5fH3jKx6moHM8g/YpKiS/q44k9TySU2aG+Qyz2Krlabi8nNByi3BtLJf2BbqKx3EFnfTGx\npUvVMPdsqtfny5ydKxoFuyuiSN/TOCl7B6DSUZmweIzqDhnVg9djZHyE6GiUcrtBpBtl7wzHkp5+\nS4tS+frOn8OR/Tunk75e6cdkjIER456hFsg9/XT46lfVmJORkcJ6+l3hLt6x4B0c7DuYuC60a0tK\n9YpEQFpTVb6G9AFa+3z7GBobYmdP6hwSbYG2RKLEqdWn5u3r60dK55u2OZG9MxeV/kvACinlamA/\ncKvus4NSyrXx16em1UIDhEISrAOJmaUAls6rJxAzVvq7d6sg7tkNZ+GylREeyV/pj47CuDVASVX7\npJX+pk2w6sxB9vTu4QOnfoDDwTZq50mOHlUXwlDR5JT+RPDYPYTis2cFh3MHcbX1o+PGSn8i0p/I\n3nl19D/46aFvqx5NPFbo84GnSjGWQCTq++uVvqXIQllJGaWVwRTSPzZwjMhYSNXGyVJmRT94p6RE\nEeLeLELO5zP2U21lUUqtpYl6R+kYi43R2t+aeEjpke7rG7UvF+n3RtT8x9ksPIfVwdB4MnsnPYgL\nk1T6pbWJDJ7ISAR7sd2wZ1hqLWVobIjx2Dhf+IL6Pf7lXwps7wx0sbxqOQ6rI9Emu11lvEQi6jvZ\nbDAYM+6NpA/Q2npsKx6bJ4P0WwOtNHmaADi16tS80jbHY+MEhgIJgbbEuyQvXz8fe8dIeMxa0pdS\nrpcyEfp/HWjItX4h0RuMImKpc3meMr+OoeJOwxo8mzeD+9RNnF13Nm67i+hY/ko/GARrWYAxR/uk\nlP7AgPJbR6u2sKJmBdWl1ZSWlNKwvJuWFkUK0XixtULB63AzMKqU/sBoiHJHbqXvKnExFIsQCKWy\nqBHpHzyYOip5IntnoKiD9oHDuFzJC1vNCazm+L32tGsThcpaAqkF5rx2b6K8ck9PfB7XSDfB4aAK\n5GV5ZutJH3JbPLlI32l14rV7GY2NEhpOjRwfDhxmXtk8VfwsDRORvlL6MmPaSg25rB1Q9s7Q2KAS\nIuOZfj7kr/Q9Nk+K0s+WrgkghKDUWsrAyABCwMMPw5NPqppEhQzkziubx2LvYkOLR3tgZuuNpA/Q\n2tK1hetWXJcxW1yK0q/KT+n7B/2U28sTfLO0cmleufqavZNeYVPDXFT6etwCPK973xy3djYIId5R\noGMk0B0IYxlP/eEXeOsprugwnI3mjTdguGojZ9WfRbnDRXQ8f6UfCEBRWT8Ry+RIv7VVBXHfOPYa\nb69XQy6by5upaFbB3J7+KJIYTmvhfmGv08O4NahKCYggXkdupW8psuAsLiWgC2xLmenVulwqR75D\n15GaSOkPiz7VJdZl8Ph8YPWoUtLXrrg2YfGkVxX1OrzY4uWVu7uhuiZGT6SH4FAwZ65+eq3400/P\nnsHj8yki0YuESASspcreEUIYqv1s1g7kp/TDzp2c/9D5htvnKp0Nyt6JjkYTGTrpmTuQO5BrpPQ1\n0s9WgkGDNkALVGbWL3+pyKmQSn9+2XyWVCwxTNvU4iHh4bChvVPvrk/J4Nl6bCsfOPUD9A32ERhK\nMmtroDUx5iVfeyc9uL6kYklKwDkbZqu9k3MGSCHEesBokPVtUspn4ut8DRiRUsZnPKUTaJRS9gsh\nzgCeEkKskFJmMO2dd96Z+H/dunWsW7cur0b3BsMUx1Iv0DpXHbg66ezMnHBg0xtjdDVs48z5Z/Ki\ncw9DsfzZOxAAYQ8QinVzpGMEyG88ueZ3vt7xemIgSbO3mVhdK62t59IzoIqtZevKTwVumxtHeYj2\ndrCX507X1FBuL+fYUBApyxFCkVVpqVKMemgWT2Ojet/RAWVVAZ46/CSBwC3EYsn8+74+qKafSHQw\n0cU99VS17+YyH1WxKtbOW5uwePSePiilX1zWT/8RRfr28n7sxXbCI2EaPJJg0PicGSn9hx82/t4a\nKQcC6uYEdcNZHdGEbagFc1fUrEhspy+/kI58lL7H4WNXzy6io9GMB34+Sn9wbBBPnPQPHoRrrkld\nJ1fKpp70l1ctp8pZlbBSshVb06D5+hrOOUf9Ntb4zJ3jsXGKRNGUr+eucBfzXfOV0u9PKv2KCkWa\nRUU6pW9g7zS4G9jYsRFQI6a3dm3lzPlnsqJmBbt6dvGOBUp7tvYnpyJdWrGUw4HDjIyPUGLJfl+n\n/y5LK1KVvpSS19pf49zGc1O20+rv9PRML5C7YcMGNmzYkLV9k0VOpS+lfJeUcqXBSyP8m4F3Ax/S\nbTMipeyP/78FOAQsNdr/nXfemXjlS/gAfeEBSmTqDz+vbB5jtl6OtKfOnjE8DLt79rDA04jH7qGy\nzMVw5vMnKwIBkLYARaKINn/+NZk10n+tPVXpC69S+n2DhQ3iQnz2LE+Qo0fB7jZOv0tHucMDjkBC\nHaZbOxqWLk1m8ITDKhi9b2Aj//navZSVpV68/f0wMNanKkbWpCp96fAlfOtrT7uWH235EYNjgyk3\nVbm9nKLSfvr64jX5S7upd9VjL7ZT5h3ImqufrvRz5er7fMoj1ls80ShYHEkybnRnBnO1kspGqHJW\nqQhJy0cAACAASURBVCJ6OZQ+tjAxGcuwHSB3uiaoDCEpJY7SUaLRaSj9kWT2TorSNyBTDdoArZT2\n6KZq/vizH+fBLQ9m3T4XpJT5K/0RY6Wvz9VvDbTisrmoLq1mZc3KlHOtt3dsxTYWeBZMaNWkz1mc\nnrZ5/+b7Oe+h8+gMp/KDVn9n377pKf1169alcOV0MZ3sncuBfwbeJ6Uc0i2vEkJY4v8vQhF+Qacu\n8Q+EsZH6wxcXFeOIVbG3PXVo+c6dULlqI2c3qOJMFa4yRsTkSH/cGmCJdxmdA+15D9Dq6gJXXReR\n0QhLKtSd2VzezJBDkX5gxE9tWeGCuKCUvrUsxNGjUOIO5izBoMFj81BWmQzmdnYak/6yZclgrvZg\n6Ai34x/0p1g8msoMjvRn2Dt+P4xZk1M+XrviWn6y7Scs8i5KUYheuxdp76etTZFYYLSb2rJaPDYP\njorsGTzpSn/xYjWozmgWLZ9PEWYm6UdwFqu7brL2jj57J5vSFyXKz9dPXanhUP8hFnhyz4vnsDqw\nlQ0SDKoJbNJ7tfkqfS17R0vZzOXpQ3KAVjYc6j+UqDQ6WQSHg1iLrJSWlGYl/Yk8ff2o3K1dW1k7\nby2gypVrwdyBkQEGRgaoLa1NbJePxdMb7aXGmRQl+rTNnd07uWPDHby9/u280vJKxrbV1eqeMiJ9\nrWqsPlY22z397wFlwPq01MwLge1CiK3AE8DHpZRTLN5rjL5IGHtR5g9fXlzHwe7Up+327VC6dBNn\n1SnSr3a7GBX5B3L7+mOMFQ1weu1p4G7PuwzxsWMwVPk6b69/e4LQmr3N9NPK7t1QVOanuqzASt+u\nqmYePQrFZaG87B2P3YPDm0zbTM/R16DP4OnoiA8hD7XTN9hHRWUsQfpajn7/YD99g31U1Ywl0hd9\nPhiyJEl/7by11LnqMgrMeR1exkv62bs3GcStLa1VbfVkz9UPhaDMPZZQYMXF6mZLL/oWjaobraEh\nNXsiEgGLTWfveDJz9SdS+hN5+jFrmOKi4kTmkh5/a/8b5zacm7mhDk6rE7trkD17VPvT67nko/SD\nQ0FDTz8n6RsofT26wl1saNtA/2D2UijZoAVxARZXpNo7+Xr6+pTNLV1bEqS/smZlgvTbAm0sLF+Y\nIjDyyeAxst2WVCxhR/cObvjfG/jPS/+Tj675KC+3vpyxbU1N8nukw2JRDzJ9z3VWk76UcqmUcmF6\naqaU8n+llKfHl50ppXyucM1VCA6GcVgySb/GUc/hvtS0zR07IOrdlCjDWu1xESsO510fvzsQooQy\nFngW4G7MP5jb1QU++2uc05Aslt5c3kxHRI3OclblPxo3X7htboocSulbnBOnbELSEtKINB97p71d\nrdMeaicmY3hqQgnS7+uDcm+MwFAAj92Ds8pPT48KmA4MqHLSGukLIfjg6R/k1KpTU47ltXsZtfTj\n9ydz9GtLa9U8wO7cSr/F+Us+/uzHE8vmz8+c0lEbJJY+DD4aBVGS3d7Zfmw7RaIoUfE0Hfl4+rHi\nAc6Yf0aG0o+MRNjr28sZ888w/nJxOIodlDgH2bUr09qBySn9spIyxuU4kZFI1hIMGvSBXCN0hjs5\nv/F8njsw+dtd8/NBFRQcHR9NPDz0pK8mbzduZ4WjgqGxISIjEbYe25o4jytrlb0jpaQt0JYI4mrI\nJ4PHqAje0oql/NPv/ok189Zw06qbuGTRJbzc8nLGqODqamWDZUvVTbd4ZjXpn0gEBwcoLTbq4tXR\nNZCq9LfsHMTHXtbMU1P3uG1lCNuAGuCVB7qD/ThEOQ3uBuzV+efqd3XB0djrCT8flF3QEe6gadGY\nYbG16cJj8yDsSukX2XNX2NRvoyfSbKS/ZIkaiTk2llT6modaWu1PkGd/P7irwzitTupcdZSU99LT\nkyzC5h/0pXzvO9bdwT0X35NyLK9DlVeG5Ghczd6xlgWzevrhMIyV9LL92PbEsnnzyMjo0kjf680k\nfUoiCdJPL8Xw6PZHuWnVTYbz10J+pD9aFOb8xvPZ1bMrZV7XTZ2bWF27OmWkqREcVgclpVF27sxM\n14TJZe8IIRJqPx+ln56+qiE8HGZcjvPh1R/mqb1P5Wy/ETQ/H5QQ0Kt97cGst3eMlL4QgnqXyuDZ\n0rWFtfOV0q9yVuGwOjgaOpoSxNWQj71jVARvedVyXCUu7n/P/QghWORdRImlJGOEb3W1+g7Z4tvp\nwVyT9LMgWxdvUVU9vpGk0pdSqbNTKk5NlDBw2VwIezhv0u8dCFBqUaRfVJ6/0u88Ns7+yGbOrj87\nscxWbKOmtIZ5y9opdhc+kOu2uZElSulLW55K3+6huHRi0nc4VFf1yJFUpV9iKcHu9afYO2VVfXgd\nXqqd1RS5ehNpa1VVauJvPekXFxVnTA3ptXsZQt0JeqXvsXuwOHPbO7IkzD7/PsZiysjPpfQrKjLt\nHaxqcBbE7Z3gUaSUjMXG+PnOn3PTqpuynkuN9LX9pg8iC4dhVISpd9Uzr2we+/3J2hZ/PfpXzms8\nL+u+NTitTqzOwaykPxmlDyhfP9KdVUFr0GbPMoJG2lcuu5L1LesZHM1e2zk6GmV0PHUwTVc4SfpA\niq9vZO9kCzjXu+vZ3LmZ0dgoje7GxHItmGuk9JdXLWe/f39KtdF0GM1bfPOam3njH99InEchBJc0\nK7WvR02NsbWjwVT6eWJg1PiHX1ZXR0h2JoKtHR0g523lrMa1iXXKSsqgJJz37Fn+SACXtZxGdyOj\nzvyVfme0hWpnNV6HN2V5c3kznqZWisoKOzALFIGPW5XSj5Xkn7JZ5Ez19Mc9B7n0p5fysac/xr1/\nuZf1h9YDSYtHezC0h9pZUb2CEk9fCunbvf1UOCqoKa0h5uihtzdJtOmkbwSvw0totB+bLVXpu0vc\nKfMApyMchvHiECPjI4kBPrmUfkVFptKXxUl7x2l1UlZSRm+0l5cOvUSztzmj5k56uwNDAUTROG53\n5mjLgQEYQSnVNfPWpFg8+ZK+o9iB1TFIa6uxvTOR0ne5ZEqNHS2DJy9PP4u90xXuos5VR3VpNWvm\nreGV1syApobPPv9Zvr/p+6nbDyTtHUgd8WoUyDUSfKB8/Wf2P8MZ889I8e01X1+bh1kPt82N1+7l\ncOBw1jYbzVtstVgz7u1LFl2S4etXV6dOnpKO9FG5Gul/+6/fzng4FgpzkvQjo+GUujsaltTUg6sj\nQQo7doDnlO0JawfUxSutA3mTfmAwQLndS4O7gWieA7TCYYiVddLoyZTMzd5m3AtasZQV3t5x29yM\nWUKEQjBuyS9l02PzgC1V6fdYthAdjXLG/DM4NnCM6359HQf8BxIZPB0dUDU/SnRUTTZiKfOnePo2\nTz9eu1L6o1al9LUJ0fMh/XJ7eaLSZnogV9hyK/1xi/phtbK58+ZlV/pG9k7MEknJn9fU/qPbH+XD\nqz6cs93FRcW4bW4CQwHmzVN57BpisfgELfEyAmvnrU0Ec2MyllcQF5S9Y3GoQHUue8coyywUUoPP\nHMWORO+qxqkyeCZK2dQqbRqhM9ypxsmgJpPJZfFs7NzI5s7NKcv0gVwgw95JT9nM1iOpd9XzwoEX\nEkFcDVoGT2ug1XCConMbz+XZ/c9mbfNE4yc0XNx8MX9o+0OilwlqtrzmzEMmkE3p37Hhjrzr9k8W\nc5L0o+Nhyp2ZP3ydqw5LeWdi5Oj27RCr3sbq2tWJddQgDElfaDhjeyMERwJUOMqZVzaPcKwnYxyA\nEbq6wNOQql40NJc307iylYqGmcnTHxGKEUeK8kzZtHuQNlVTf2goPmqUDs6cfyafPOuT3HfZfZxd\nf7aaHjCewdPeDsLTQZ2rThG4M9Xesbj6Eko/Qg+BgCLAyiqJPzpxD8drT9bUT9g7cU9/3Jrb0x8p\nCtHobkyQ/vz5uZV+usoaL4qm1HRqdDeys2cnLx58ketPv37C86lZPHV1qSOYo1FlvUTGMpX+fv9+\nPDaP4fWSDqfVicWm7JNFmbNqYrGojB6jqSK1WbP0YkBT+tNJ2ewMdybsmfed8j6e3vd0SrxCw+Do\nIG/2vpmRuaT39MHY3slX6QeHgxmkrwVzjewdgK+c9xXu/eu9DI9lcsLo+CjhkXCGqjdCdWk1zd5m\nNnVsSiy7/HJ45BH1v5SSdz76TkbGkz+OEek7HJLoaDTvaRknizlJ+kOxASpKjXN1Y6UdiWkTt+0Y\np694F6tqVyXWEUJQHHPRG8zP1A+PBqgsLcdqsVJhq6bNb1DnIQ1dXVBam1Q/ejSXN9MaaFWDeGZA\n6Q+jGHGYPFM2bR7GipXS1wpodQ50UO9O9lK0iSOWLlW1bPr6YKiknQZ3A5WOSsZLUu0dS2lc6ZdW\n4x/spaJCDVBxVYWwF9snDFZ6Haqm/po1sGyZpCfSk8je0dpqhFAIRghzTsM57O5VRXeyKX2t261X\n+pGIIn290l/gWcB9f7uPSxZdkjI9YjboSV8/fWf6BCBr569l27FtSCnztnZA2TsW2yD19ZmjpjVk\ns3i0WbP05K7V35moDEOuQG7XQFfiWm/2NlPnquOvR/+asd6unl0srVxKS39Liu+vz94BUurvlJer\ncxcI6JR+lh5Jg1uV/0rPgDq16tREnMdIcJxVfxYrqlfwyPZHMj7zRVWWXbbgfTqMfH0NkdEIv2/9\nfUphOKNAbpFN/Xim0tdhWIbxlmY+7SscFcQsg7QcVd3fN1oPUu2ozSA/q3ThC+Xn70TGA1S7VKnb\nxvIGOsITD9A6dgysFanqRUOzV5G+djEVEm6bm6FYGESMIZl/IHfUojx9LUe/PdSeuIGAxBRxy5bB\n3/6m1HfXgFrn/7d37uGRnfV9/7xzPWfuM5JW0khrW2uvL2sb73rXyxobsg82NhiICdCYpKQpJc9D\nY5o6JC2FOG5MKZdC3bR9Gto+ENI2gfCYQCiEJtQFtuCk2Bivb6zX67W99uqyu5J2pLlrbm//OHNG\nc2bOjC4zGmmk9/M8fryakWaOjma+8z3f9/f+fjE9RtFldfoVbXkhdzY7y9CQ0btei60c7YDh9Bfy\nC3zlK5LxKxbxurzobt04VkfreCeVglwlyZHxIxan324htzHeKdIQ71Sd/j+4oX20Y2KK/tiYVfQb\nB4CYr43p1DR/d/bvVhXtgBHvCE/WNtqpfY/NYq6U1Y1A7ganX+20uZo2DO2cfr3BedfV7+IvT/5l\n0/c9OfMkR8aPcNXAVTx3YXmrdKPTHwuNkcgnyBQyOByG8J89u7LTHwuO4Xf7awPra+fDrTMRmeCy\nyGUt20Q88KYH+Oyjn23K0Vfqh9SIXa5vMp813iT1FWF2Tl+4Df1a7YSutdKXol8QKQZtplEIIQgS\n54XpafJ5eG3pKQ6O39D0fR4CXFxl+U6eBMPVSd6XRsdxRSebFugamZkBEWwd75i9vlcjymvB6XDi\ndeqgJShTQne1sIJ1hL1hCiw7fWOn7RRjwWanPzFhtLUwyzXHg+MM+AbIiQbRdy8v5F7IXGDXLkP0\nzWZrK+F2umu9dszKHfNYl2jv9HOVFDfFb+LU/CnKlXJtIbf+g7pdpl9kuXoHDKc/6BvkbVe8bcXj\nhtbxTs3pV52qEKLm9tfi9H0uH8KTs13ENbFz+tms0XYiU1ps7fTX2IbBpFH033nlO/nr03/d9H3H\nzxk7ZQ+MLq9n5Et5ssWs5SrKHFdZn+ufOWM/KrGeG0Zu4Ivv/KKtK79++PqmRdx6brnkFi6LXMZX\nn/2q5fbV5vkmt15yK0/OPGnbSXU+VxX9Ravom3oiZXVdyWWIvnL6dRQdKYbC9n/4AU+cl2enOXEC\nIlc/zY3x/U3fo4kgFzMrO/1CwWjBsCtkiP54cJzg+MqLuTMzUNTsnX48GCe5lGRAH+hqszWTgDsM\noUkCrtCqHj+iRchJQ0hr7RWS1njHdPoej9E51KzcMeOdTMW6kFtwLcc7s1mj/87UlDEecrWRllkJ\nY1bugHElk2sxSMUclZguJhkNjjIcGOblxMsEAkbOXb9wXy/6icTyB0I2CwVpjXdu33M7/+Nd/wO3\n081qGNAHmM/NN8U7dqP+9g/v5wev/ICzybOWQd/t0N0611yf48MfbvM9Nk7f/NBprNIZDgzXSjbb\nmZB2m7OmU9MWg3Ng9ACzmdmmYeXmpqn9w8vrGefS5xj2Dze9VusjHrNW325UYj2aS+NXrv8V2/sO\njh5suZPa5IE3PcCnH/20ZT3CrlyzHX6Pn4OjB5smdsHKTr9YNBrLFWQGr9OrnH49ZWea4Yi96I/4\nxzi7OMUzz4B7t3UR10R3BizthFuxuAiuwALR6iSj8dA4+q6VyzZnZiDvmrHN9J0OJ5dGLu36Iq5J\nyBuC8GsrTs0yqR+kYsQ7kunUtMXpT0QnmExOUigXuPLK5RYM4yHD6S8WL1IqGe4ykYA8Fy1O3+xi\nWdHWIPrVWbkWp6+FyVaM6qTGiM3csWlm09cOXWup4KlfzDVF3+s1/jMv+ozqGmu8M+Qf4m17V+fy\noX280+hUD4we4L89/d84PHa4aa9CK3SXTiCa5cY2G3ftnH4m00L0V7s5a4U6/frXukM4ePPEmy29\naEqVEs9deI4bhm+wLGI35vkme6J7eDlhtOwy69zrr5TWyu/c/DtNmwAbOXrZUYZ8Q7U5D2BfrrkS\nV8SusJ26Npc1duzVfxjWi75ZuWNWxZ1LnyNfalF/2wF9J/qVijEfdyhs/2l/STTOhew0Tz8Nab+1\nXNPE5wqSzK8c7ywsgNO/UFu53x3ejVjFBq2ZGVisTLesxpiITHR9EdckohlOP7KKRVww9i3kK1kS\ni2WmpiA0Moff47cMCfE4PYyHxjmzcIYbbjDq9U3Rj+kxoyKnWmWRSEBOJojqUWJ6zLiqGTIqnkqe\n1Yu+OSvXLNcE4wMtubSIx4NlODgsbzwys+l9Q/tsc30pl8tHwRrxZLOwVLFW76yVtvFOUJIpZmqP\nv39kPxdzF3nD+OqiHai2V26z+QnsnX79h2K9uMf0GAv5BbLFbEsHDa0XclNLKaSUTZFLY7Z9cu4k\nY8Exgt4g+0f288z5ZyhXyk15vsku/y5ms0bTJrPO3ecvky/l1zWDwuP0rDhjWgjBA296gE/9+FO1\nzVprjXeA2lpWI/O5eUYCIy2dfr3oh7whLg1fWvvg6yZ9J/qZDOBNEdbtP+0v3zXGxdIUTzx/gYoz\na9u1MOAOklzFcPSFBRD6Qm1m6XhonJLv7IqiP3U+R1HmiWr2ZV4TkYmuL+KaRH0hiJwl4lvdeoFD\nOAi4gyzkkkxNgStmzfNNzDK6z3wG7r3XGu/M5+Zrfc8TCUiVLhLVojiEg6gWxTdoOJy8Y23xTiKX\nMC7/A8uZ/uKS/SCVVAoC4QKlSgnNpRmiP9fs9FMpwwl7qwVE9WWb2SzkSs197teCKfojI0ajN3NX\nbjoNWjCL17k88W1vbC8+t2/VeT4Y8Y7ZUK6RTCHDRx/5KCI0Y+v0/f5m0Xc6nAzoA/jcvrYVKkFv\nkHQh3dRbxox2GuOZxl40x2eW++GENWNq1+mLp5t245oM6ANczBmfxuYHtPBmVjzOTrnj8jvQ3Tp/\n+byxED2bbd/u2o4h/xCzGRvRz86zf2S/JdM3I0awir7P7Vv1hK610nein0oZ83FbuZKrRuPkXNM8\nde5prt91g22uHfAESLUYWVfPwgJUPFbRzzhXjnemUzMM+0daZup7onvW/EJaLRE9zNvfd5boCqMS\nLT+jhUkVF5icBBmcslTumJiDI4SAYqXAxdxFdvl3EdbCZAoZooNFXnvNqBFfWErUFuZ2+Xfhic4a\nuXp5jfFOvjneSS4ljU6RDaKfTIIvmqr1lNk3tI+fX2gu2zSjnVcXXuW7p75rqeDJZCW5UnZVC+Ct\nMEXf4zHe0GaH0VQKvAHr69bpcPJHd/0Rv3DZL6z68XWXTq7U7PTPLJzhli/fwh/+5A8pRU+s2umD\n8TdqV64JxsYzt9Pd9NyN0Y7JnugedJde62tT3/kSqC3mnkufs70ijumx2sLnwICRdZed9m2Vu4np\n9v/1j/81UsquO/39w/tX5fR9bl+tgKLb9J3oX1hono9bz+5IHFdsisqupzm0uznPBwhpQTLF1Tn9\nsjtRE/14ME6yco7XzraYzE11MVHMMBZqvdHmQ4c+xB8c/YMVn389hDwh0s6za6oMCmthPMFFXnvN\nqL9v5/TBcHcjgRGcDqfh5vUooV0JXnqp6lzyiVokNuQfQvhnjfgnt45Mv24hV3fpFMtFgpFC0wat\nVAr08HIFilmbXa6ULRu0TNH/wSs/4AtPfKEW71QqRiWJ1+W1HQ6+WkzRBywRTzoN7kBzHv0P9//D\nNV1ZmNOz6vnBKz/gyJeO8IH9H+D2Pbfj8uabnH696Ddu2hsODK/q9WK3K7excqce0+0Dls6XQG0x\ndyY9Y9mNazLgG6gtfA4MmOWa9j23us07r3wnUkr+6tRfNQ1QWQ1D/qFay+p65nPz7BvaR3IpWcvq\nAwFD7EulZtE3Cyi6TR+KfhpnqfWn/VhwDEdomtDepzhgk+cDhPXAqubkzidKlB3LWafH6SHijXFq\n+nzLnzl/HsLj08RDrSdGR7RIyzdKp4S1MGeTZ1e1G7f+Z3wxIzaZzVsrd0z2xvbWXoCNdfwxPYY+\nMM/p0xAdKJEpZCwNvbyxC9x+++paMJhE9WhTpi+EIKyF8ceaa/WTSdDCyxUoQW+QQd8gry6+auv0\n57JzxiyAaryTy4Ee7CzagapYVR1qfQVPKgUuX+sr1NXSGO+cS5/jPQ+/h6+8+yvcd+Q+dJeOw5tr\nHe8UWjj9VSyO2vXfmU5NEw+0F/2KrPDUuadqnS+B2mJuq0zfjA3BEH2zcmc9i7hrRQjB77/p9/nk\njz7ZXaefNTZkxoPx2mKuw0EtrlROvwWziylcsvUbJx6MU9SnKQ48xQ0j9k4/6guSL68c75xbWMRL\n2JIhXhodZ1FO1i7bGzF249q/kHtByBtiMjm5Jqcf0SL4oouGM022zvRN0Z9KWiOgAX0ALTrPiy9C\ncMjoo2+esyHfECXPLF/5yhpFv756J7A86SjsNYa+2GX67oBV0MyIx87pz2ZnSeQStXgnmwUtlOlY\n9KNalMX8IqVKyVLBk06D09e+k+Vq0F26ZSH3xOwJbhi+gdv23Gbc79ZxevNrinfM3c4r0TgnF1pX\n34DRi+ZHr/6IF+dfrH0Im5jxTqufH/BZM32zcqcXTh/g3de8m0wxw0uJl9Yu+q0y/dw8A74BY/by\nYnPEk8kop2/LXCqFu9L6jeP3+PE6vSy6TrFvaJ/t98T8QfKs7PQvLC6gi4jltvHQOHv2T/LTn9r/\nzMwMeAc2T/TD3jCFcmFVLRjqf8YbXjTq71OTtpl+fdlmo9Mf8A3gChpO3zdw0bLRZsi3fKnbqdMH\nWg5SSaXA7beKqlm2We/0Z2etTt+Md7JZ0EPWjVnrwelw1hrG1cc7qRQ4tM6damO8c/ri6do4TgDN\nqeHwNMc7ptM3p2bVs5pMH+w3aE2nW8c7g75BJqIT/Nef/dem1ghjwTHKlTLPzz1v+14xq8KklFx9\nNbzzna1HJW4EDuHg/jfej9vhXtNVMyw7/cZFb3MX/u7wbkvZprmY2+j0L41cuiFlm30n+vOpFF7R\n/g9/2UCca4aublmiFQsGKMiVnf5seoGA01qBMx4aZ/jKSR5/3P5nZmbAEW7tfjYa8w29pnjHG8Yd\nXLTdmGXicXoYC45xZuFMs+jrAzj8F42ZttGEpWrJLL0rV8qGs15F/xowrj7OJs/iFE5LCaWx/pBs\nyvSTSXD6m53+ibkTlpLN+njHaOomSSQMUfQEOo93wL7/TjoNwtu5U22MdxpF32jTkFuT05+ITKzK\npNht0GqX6YPRi+aLT36xqQmaEIL9I/tZKi3ZOmmf24cQgmwxSzwOn/986zkaG8U9197D1977tTVv\notTdOm6Hu+lczWfrnL7NYm6j6Lscrg0p2+w70V/IptFWEP2x0FjLaAeqc3IdKzv9i5kFgh6r098d\n2k1gtL3ol3X7ioZeYDr8tS7kuv2Lti0Y6tk7YGSMjVcDMT2G1Ocpl6ttles6Epq7chfyC4S8oVVv\nQopqUU7OnWxa5At7rUNfTAwnbXX6ZrwzOGg4qWLRGu+UKiV8kXTN6Xv8ncc7YL9BK50G6e7cqTbG\nO01O36Uh3K2dvp3o//K1v8wfvd3a494Ouw1a9R027bh9z+2kC2nbMZAHRg4w6Btsudu5vmwTeuv0\nwbhqe/c1717XzzZGPIVygVwpR9gbZjw0bhvvNIo+sCFlm30n+olsCt3Z/tP+ktAl3DjSesviYChA\n2ZlesXFaIr9A2Nsc78jQWR5/3L5n+cwM5Nzt3wgbSc3przHeCQwucsW+DPlSvqUbvyJ6BS/Ov2jr\n9ItuY9HNGbDGO+au3LVEO2DEO3PZOUueb/5+DptBKskk4LUKmjn/1OGQDA1R6+tvOn0AVzCxLPq+\nzjZmmdht0DKHonfqVFeKd3SXDu61OX0hxKpq3xsXcqWUtQEqrXjjpW9Ed+m2or9/ZH/bK+L6RXHo\nbabfKY2LuRdzxvtCCNHW6fv9VtGvHyjTLVZnu7YQi/mU7Xzceh6686G2u+8iehDhTdVOciuShQRx\nvVn054uTeL3wyivNPc1nZiB16ebFO2ass1anf92hl7j5DVOMfWWs5eVszeknrWWdA74BCk5j8pDw\nWeOdIZ/heNYs+tXHqM/zwfj9FrTm6p1UyhiVWJ+Zh7UwTuEkuZRkZCRsDKs3Rf/FOcZD4wjfRS5e\nvIRsFty+7sQ7ZuXJLeNWp192pgl16vTr4p2KrPBS4iUujy633NRcGjgztiWbfr8kOde+sVo7Gnfl\npgopo8lhm8fzuX28fN/LtmWZb9v7trbvUzPXrz1fm1GJW41Gp18/R6Ix0290+heKmdra0t6BvZaO\npN2g75y+keu1/8NHtEjbF1PAE0BoK49MTJUWGAhYRX9PdA+n5k9x02Fpu5g7fb5ArpLcsDYL12Gt\ngQAAIABJREFUK7HeTH9xabFlnm9yRewKTs6f5Hz6vOVDbUAfIIdxGV7xNizkVmuW1+P0wUb0tTAV\nT/MglWTSGJXY+GE3EhgxJjNVF3Pn5iAcK5IupNkT3QNaopbpO/XuxjuDg0Yp3tLS8nzcrjj9arwz\nk5oh5A1ZhFBzaeBqrt7JZMDty+F2uquDhNZOY7yzUp5vYif4YIj6e/a9p+XP1ZdtQvtma1uN+jYS\nsFy5AzQ5/VYLucCGlG32nein19lwqZ6gN4jwpFccjp6t66VvMh4aNyoKbpqyzfWnFs8x5Bve0K3i\n7VhPph/RIizmF5tim0b2xvbyk8mfMOAbsAhHTI+RKhtvzrLb6vRjeoxUIcVMemZNoq+5NDSXZhvv\nlG0GqaRSxqjExszXFH2zbHNuDpyBeWJ6jAF9gJLnYi3ecWpZfK7uib7DsbwbOJ2Goui8eqd+R25j\ntAPGlUDF0Vynn04bU7PWWolST+NCbqsWCt2iMdNfaXj7VsK8wjWpd/qDvkEyhUztiq1dpr8RZZvr\nViYhxCeFEE8LIY4LIb4nhBitu+/jQogXhRAnhRB3dOdQDTLFtO183LUQ9ASpuFd2+nkWGI1Yq3eE\nEByKH8J3xRNNol8uw3xhuu1u3I1mXZm+VnX6bRZxwSjbzBazTR8MRk31POEwFJ3WhVyHcBDTY7ww\n98Kar36iWtQ23ik57eOdgmjv9KemDEdlNn6L6THyJMjlDEfu8HY304dqq+op4/iWZOdOX3NpLJWW\nqMiKrehrLo2K034hV3pXNze5FY0lm6t1+uulflcu9JfTb8z064cmCSEYD43XIp52or8RZZud2NHP\nSSlvkFIeAP4K+JcAQoh9wD3APuCtwBeE6J7tzZZThH2dXyJL5xILydbtFBp76ddzKH6IZOAJjh83\ntk+bzM2Bb3iG+CaKvt/t56qBq9aW6XvDLOYXW27MMvE4PVwavrRZ9KuO7NJLYcl5sWkheJd/Fyfm\nTqxZ9CNapMnph7UwS8J+IbdA81VgvdN//nmjE+dCwRB9o7+PUas/NbXc0KtTGlsxnDljGIJcufPq\nEyEEmksjX8oboh9tcPounbKwX8iV7s5EP6yFmU4v94veaNGv778D62+rvBmYVWsm9fEOGLm+WcHT\nTvQ3omxz3WIspaz3yQGgUv333cCfSymLUsozwGng8LqPsIF8JUXMZij6WhBC4Cz7mV1one/Ueunr\nzaJ/U/wmnrv4BOPjxkQok5kZCI5u3sYsMH63k//k5KpLI2HZ6U+mJttm+mBcbo4Hm53+fG6eJ56A\nJZFo6i465Bvi+dnn1yz6N47eyFUDV1luC3lDLMmkZcQcLI9KbOf0n3uuWq6ZMTonxvRYbVfu2bOA\nu7t1+mCI/qlT3d1Rai7mnk7YO/2ysO+9U3avboRmK+68/E6ePf8sj7z0CLByuWan2JVs9pXTbxHv\ngDXXbyf60P2yzY4cuBDiU0KI14Bfper0gThQ34dyErBVkovJ9n3B7ViSKWKBzj/t3TLAXJt8x+il\nv9xsrZ6D8YM8Mf0ENx2WlohnZga0wc2r0V8v9U6/XaYPxi7Xiah17Jzu0pFSUiRbK02rZ8g/xNnk\n2TWL/p+9+8+4dte1TceaZ5FCAUsrjGQSsq1EP2M4/RdeWC7XHPQNEtWjtV25k5OAu/MduWAtNRwb\nqw6FX2Go91owa/VbxTslG6efyUDJ0bnT/9IvfokPfvuDLOYXW3bY7BZNJZttRiVuNVZy+vW1+u0W\ncgFuHr+ZpfJS146trR0UQjwC2C29/56U8jtSyvuB+4UQHwN+C3iwxUPZVsT/zkc/xmUjhis8evQo\nR48eXfGACyLNgM183LXiIch8qrXTX1gA6nrp1xMPxvG6vFx+8AyPPz7Bb/yGcfvMDDgi04wGjnR8\nfL0k4AmQL+V5dfHVtvEOwGdu/0zTIrUQopa/1nfYNNnlM3ZcdqOiybwqOXwYHnsM3vEOIzrJ5yFT\nbL2QO3Kd8X1DQ8uiH9NjJPKG03/xRRhybUy88/WvrzzUey343D7D6V88zeUx64R03a1Twt7pFzoU\nfTD6zd+19y4+8r2P9Cbe6edMP2MV/frX/+7Q7tr0MNPpR6P2on9r5VaOff0YD379wa4cW1vRl1K+\nZZWP81XguxiiPwXsrrtvvHpbEze9/e/x4XfeusqnMCiKFEOhzv/wK83JXVgA6bEXfTByfY/+BI//\nieF6/+Zv4N/8G3D/g82r0V8vQghC3hCzmdmW5XUmrUphzUvxRM4m3qm2pu2G6BvTs5L80hH4yU8M\n0W81/xWs8Q4s78a9PHo5Uc1w+iMxw+kPOLsT70S0CKmlFMVykXjczalTcM01cKFLTlV365xZOIPm\n0ppen5pLo0Secp3Tr1SqU8HoXPQBPv+Wz3PDf7lh4xdy9ebNWf2U6de3V26Kd8K7+c6p7wArxzuN\nhvgTn/hER8fWSfXO3rov7waer/7728D7hBAeIcQEsBewbVrw4rlpu5vbUna2Hoq+FjRHgIVse6df\ncrcR/dFDzHuf4NQpeNvb4L774KGHwDu4uZn+eglrYUYCI6seAN7IgG+AqdQUZVluEk6zt0pXnH41\nijpSFX0wRL9VfDIaGGUmNYPfb3xPfbxT7/TzeSg7ulO9Y1YszefmGRtb3g3bLaequ3SevfBsU7Rj\n3leoWEs2czljWljapq3yegh6g3z57i9TkZUNNTj1nTah920YOsHv9iORZAoZwGYhty7T9/mMFiGJ\nhL3od5tOMv3PCCGeFUI8DdwO3AcgpTwBPAycAP4auFc2tpurcmZ+baIvpbGVfTja+R/e5wqymGvt\n9OcSBSqi0DLjPRQ/xFMXnuDXfg3uuAOefdZwnSttS9+qhL3hFRdx2xHTY5y+eJqoFm3a0TvkG8Ih\nHC0/QNdC0Gu0ArjpcIWf/tSIbJJJ8IeXkFLidXqtz+0fYj43T7lSZmSkdaYPUBLdiXdg+QojXn0p\ndDPT97l9LUVfc2kUpXVzVquh6J1w9LKjTP3O1IbGLeZCe0VWkFL2vOFaJwghLGWb9SWbYM30hTDc\n/swMuLUiwLrN12ropHrnvVLK66tlm3dLKWfq7vu0lPIKKeXVUsrvtXqMqdTaRD+XA7wpoh1W7wD4\nXQHLcPTTp+Gee5b76ZxbWESTkZYtCQ7FD/Gz6Z/xn/9LhY98BDweKFVKtTGC/UZYC6+Y57djQB/g\n9MXTtn17hvxDRifOLlTuuhwudJeOFswwPGyUYaZS4I8agtr493I5XMT0GLPZWUZHl+OdmtOvVu8A\nFEX3HFY8GGc6NU0oZLg3PVCgXCk3fSitB92t88z5Z9gb22t731LZ6vSNFgzdFX1gzROl1orL4cLv\n8bOYX2SpvFQb2dgvmK0YKrLS1GE2pscolAu1fQ/RqFEmLrpUQdaOTd2RO5tvL/oXLsAnP7k8XDqZ\nbD8fdy0EvNbmUceOwcMPwze/WX3uxQV0R2tnOuQfIqJFLFukz6fPM+Ab6Gjc3mZhdv9bL6boNy7i\nAlwevZxbL1nb2k07zMVcM+JJpUCPtBY003X/8i/DTTcZrmvIP0TIGyJdSBOJGi+wIt2p3oFl0RfC\nqODxBtO2H0rrQXfpnJg90dLpL1WsTr/WbK3Q2Y7czcBcK+onl29iOv3F/CJ+j9/ygSWEsPTgiVSl\npuLKdO012IpNFf3FcmvR//GP4cYb4fP/cZHHHjNum1vMISqeNdWgtyLktc7JffJJI5v//d83PmRm\n0wkCzvZxxKH4IZ6YfqL2davRb/1Ax07f19rpj4XG+OY93+zk8CyEvCFLrp9MghZqvUhqiv6HPwzX\nXitr8Y5DOIy20iGj6H+p0r14xxR9MCp4vMHu5dE+t49CudBa9MvW6p12bZW3OmbZZq9GJXYT0+nP\n56yLuCaNtfoAlS4VE7RjU0U/42gWfSnhc5+D9/zaLNd8/ANkPjzEV/+nsQp+PpHCWe7OHz6sBciU\nluOd48fhYx8zSvr+9E/hYra5l34jTaLfZnTcVufvX//3efuVb1/3z8f0GK8svNJUubMRhL1hkktJ\ni9N3B1d2+gCZYgaBqL2xoloUp99YLCzI7sc7YIi+y989p6q7dICWC7lmQzZzt7jp9O2mZm11BnSj\nFLif2iqbmE7fnI3bSDwYZyppFDZGIkYMmCttc9EvatNNPen/4hsV/v2PvoT8zet43RUxXr/rdr7x\nzF8DcGExhatLoh/xBclXh6OXSsZC7IED8OlPw4MPwmxqgYh3baJ/Nnm25ZDorc5br3grrxt+3bp/\nfkAfoFQp9Ub0q/HO9dcbLQ4mJ6ujEls4wRH/suib0Y5JTI8hfAkA8uXuVO+AVfQPH4bRS7rnVHW3\nTlSL2l5VuRwuJBKvXqpFPP3s9M0qqH6q3DHZ5d+17PR9zU4/psdYyBtXmabob3TlDmx2l01Hiek5\na9nkw899g8Khh3jk17/HQ3c+xAeP/D0Whr7LCy/AfCqNW3bnDx/1B8hXRya+8AKMXJLmB1P/k1tv\nhWuvhedOLxD1tRf9g6MHOX7uOD985Ye89+H38sAPH+CuvXd15fj6DfNFvdpxiJ1g1uq73UYE+P3v\ng9O3Oqff2OI5qkcpewynnyt1N96ZSRu1Db/923Dz0e45VXNoth1CCGOhO7C8mNtugMpWZztk+o01\n+iYRLVIT/VYbszaCTRV9dz7OMy/PWG57fv5Z3hi9h/0j+wF4x5V3UZl4hG98q8B8OoWH7vzhBwJB\nlqrtg558EoZv+R7v/fp7ObNwhk99CtAWGAq0d61RPcp4aJx7/9e9vHnizZy57wy/dM0vdeX4+g1T\n7O0WcruNWasPcOQI/O3fgkNPEfKsXfRjeoySKwGiwlJ5qe0chrVQ7/ShuzXmuktvKfpg5PrewPJi\nbl+LfnWnd99m+tnZpnJNk3rR3zFO31eJc2LSmutPL51i/+4ra18PB4a5LHglX330US6mU2iO7vzh\nB+vm5D75JHgv+xlhb5jPPvpZ9u+HX/qVBSZGV64rf+w3HuPEvSe496Z7++5F2U3MF3UvnL459AUM\n0S8WAU/riVCjwdGa6M9mZq1OX4uSLF7kq1/Pobv1rs1BGPYPM5sxBsJDd4d6v2H3G3jPNa2Hj2gu\nDY9v2elnMuDzy/4U/equ3L7N9NvEOxEtwsLSDhP9iCPO6fPLoi8lLLpOces1V1q+754Db+dFvsur\n51LoXRP9ACWHMSf3+HFIBn7Gv73j3/Lwzx9mMjnJ8KUJBvwri37IG+pKGV6/U3P6Pcj0zXgHDNEH\nY1Riu3jHjFrmsnMM+ayZfiKf4La3di/aAWNzTUyP1bbid9Pp37bntrYTp3S3jtdvdfp6YAkhBF5X\n5/sEeklMj9XinX7L9E2nv5p4Z8eI/pAW59WLy6J/4YKkEj3FoQnrppN37XsHnuv/ir/9aQq/uzt/\n+JjfmJOby8GTxyUv557gzsvv5B8d+Ed87m8/x8JS6xYMimbcTjchb6g38Y62HO/E47B7tzEqcaWS\nTbDJ9Kv9dzbizVYf8fTSqWouDbeetzh9p6//RBOsJZvb0ulXRf+SS4z9HNte9MdCcWbqhjL8v+em\ncctA09SnAyMHcPvSzLmO43d35w9vzMlN8/TTEBx/Fc3tZTQ4yj97wz/jz575M16Ye0GJ/hqJB+NN\nk642gvp4B+D++8EXbR1dhL1hlkpLZIvZ2m5cE9PpZ4vd25hlUi/6vcykdZeO25ezOH2Xr/9EE6wl\nm/32oRXyhlgqLzGdml7R6d9yC3ztaztA9C+NxZmr25X7/148RbRyZdP3CSF4x9V3wbVf79of3piT\nm+JHP4Kxm37GofghwHCF73/d+zl+7rgS/TXy2G881tTqdyOoj3cAPvQhI95pJapCCEYCI5xPn2+K\nd8z+O5lCd+MdaHD6Paw+0VwaLq3B6ev9Kfr1JZv9dvxCCAZ9g5ycO2lbp18v+ibbXvSvHI2zKJdF\n/5nJU4zrzaIP8J7r3gH+2a703QHD6UtPmv/7f0GbeIKDowdr9330lo/icXp6kk9vJ3q1SGjW6dez\n0iKlGfHYVe8kcokNj3d6WWeuu3VcmtXpO7yZvhNNWO602U9tlesZ8g21jHeiWnTnif6+3XFyzmXR\nf2nxFFcN2ov+bXtuw+v0cvPB7ol+xZXmx49KUsGfcTC+LPrjoXF+8sGfcNXgVW0eQbFZ1Jdsmqy0\n0GeKfmO8U5/pd2tjlslmZvpOb95Spy+86a7/fr0g7A2TLWZJ5BJ9+aFlbgS0i3eC3iCZQqZW4QVs\nyBVnI5sq+q+bGKWkT1MuG9tyzxVf4OBl9kIb8AS4bc9t7Ap2pyTQ5XDhqHhJ57OcKfzM4vQBDowe\n6Fr5nqK7NMY70KHTzyfIFDco3kn3PtPXXBrOhnhHdqlRYa8RQhDVory2+FrfZfpgOH2v02v72nII\nB0Fv0PJa3oi1pUY671zWAQPBIAInL08luWJ3mLT3FG/aZ+/0Ab72nq+hu/WuPb9bBvBf/Rze6iKu\noj8Ia+Gmy+KVLv9HAiNMpaZI5BKWS20z099O1Tu6S8fhscY70p0h0KWNjb0mpsc4s3Cmb+OdAd9A\ny7JuM9c3q96y2733DoBnKc4zZ6Z5dbKIDL3G63bvafm9QW+wKx02TdwyyOBNx2qLuIr+YJd/F4Vy\nwTKDdCWnPxoY5fm55wl5Q5bXkDnUfT47v/HVOz1yqppLQ7itTr/sTG+4g9woBnwDJPL9G+/YRTsm\njYu52z7TB/BX4pycnOZHz7yCVhjr6eYRrwhQGj/WFO0otjYO4eCmsZt4fMqYwmlOVVop03/uwnNN\nVRRCCKJ6lKnUVNffbEO+IRK5BMVysafVO3ZOv+Toz3gHlvPwfox3dvl32S7imuxI0Y+64rx0YZrH\nXzrFgGgd7WwEe8aCnPc+alnEVfQHh+OHa6K/VF55t+lIYITTF0/bTnuK6TEmk5Ndf7M5HU6G/EOc\nS5/reaaPy7qQW3b0Z/UOLDfz68fjv37X9dy6u/UAoR0p+rt8cV5bmObn505xaaC3oj8QDJIpppXT\n70MOjx3m8WlD9FNLrVswmIwERqjIim29dFSLMpmc3JD4w4x4erm5yBT9XM5obZLNwhL9G+/ENKN4\nox8z/Zt338wn3/zJlvfvSNEfD8U5l57mleQLXLOrt6If8AQYDYyqRdw+5PCY4fSlNBqJrSSowwFj\np/Cg3iz6G+X0wRD9yeTkhpSEtkJ360iX0XAtlzPmN2eLfRzv+Iz5yubwmO1ExBshkU/Uvt4Roj8x\nGGe+OM1s5RSH9/RW9IOeoFrE7VNGg6P43X5eSrxEqrCy09dcGhEtYhvvbFSmDxAPxDl98bSRs/eo\nBFhzaUin4fTNASqZYh/HO/qA0TZlGzY23JFO/8rRUZKVGbK+U/zCdb3dDBXVohweO9zT51R0D9Pt\nJ5dat1WuZyQwYhvvxLQYpUppQ5x4PBjnhfkXeiq4ukun4jCcvtlLP13oz81ZYDj9fv3AWonNEP1N\nrdMHuPaSOFn9FMKbZu/weE+f+8GjD3a1BFTRW14/9noem3yM8OXhVbWAaCX6Zo30RsU733vpez3N\nozWXRsVhLORmMsui36/CGdNjfVm5sxr6yukLIT4phHhaCHFcCPE9IcRo9fbLhBC56u3HhRBfaPc4\n1102Cv5ZfPkrer4DNugNdnWzl6K3mIu5q8n0AT544IPcsvuWptvNWQAbJfo9d/punbIwSjbT6Wq8\nU+jfeOfqwat5+963b/ZhbAj1ol+RFZZK3Zve1opObO7npJQPAAghfgv4l8BvVu87LaU8sJoHCXh9\niKUIu5y9zfMV/c/B+EGeOf8M87n5VTn997/u/ba3m431Nqp6Zy47xzWD13T9sVuhuTTKIm+Jd+YL\n/Vu9Ew/GeejOhzb7MDaEetHPFY3pbRu9drFuay1ldcCsQQCorPextEKciZASfcXaCHgC7Inu4dHX\nHu3o8n+jnT70tsZcc2mUhHUht5/jne1MvehvRP8nOzrKU4QQnxJCvAb8KobTN5moRjvHhBCtdyZU\n2eWLc+RKJfqKtfP6sdfz/Ve+31Fb543M9Ad8A7gd7p5m+rpLpyitC7n9XL2znakX/V40W4MV4h0h\nxCPAiM1dvyel/I6U8n7gfiHEx4DfAh4EpoHdUsqEEOJG4FtCiGsbrgwAePDBBwG4K7eXW0K7OvpF\nFDuTw2OH+ePjf9yR6JtOfyOqWxzCwWhwlECXJr6tBs2lUZR5KjnrQm6/Vu9sZxpF3854HDt2jGPH\njnXtOduKvpTyLat8nK8C3wUelFIWgEL1558UQrwE7AWebPwhU/QVivViltx24qTNTH+jLq3jwXhv\nnb5bpyBzlKpO3+eXZAqZvs30tzNBb5BMMUOpUmop+kePHuXo0aO1rz/xiU909JydVO/UTy+/G3i+\nevugEMJZ/fceDMF/uZODVChacd2u69BdesfxjkBsqOj3OtMvVJYzfS2QM3rsO5w9OwbF6nAIR20+\nRC/KNaGz6p3PCCGuwljAPQP84+rtbwL+lRCiWL3vQ1LKBfuHUCg6w+VwcWT8iGXu7Xoe4+8++Hcb\nViq3O7S7p/OWNZdGobxcveOOpPG7lMvfqpgRz5YXfSnle1vc/k3gm+s+IoVijXz3V7/bsWAfGT/S\npaNpptebAHWXTr68XKc/FE/37QCVnUDfiL5CsVXY6hvseunywXD6+VKeUgmSSRjRMvjLyulvVcwB\n6b0S/U3vvaNQKLqL5tJYKi/h1SrMz4NDUzX6W5leO30l+grFNkMIgdfpRfMvMTcHeJXob2VUvKNQ\nKDpGc2lowRxzczq4M/hR8c5WxRT9fCmvRF+hUKwP3a3j8eWZew2kO01AKKe/VYloERK5BBKp4h2F\nQrE+NJeG158nlYKyM9PTHcGKtWE6/UyhN713lNNXKLYhuktH6DkAyg5Vp7+ViWgRFpYW8Ll8m997\nR6FQ9CeaS6Oi5wEoOtRC7lam1n9H27hWIPWoeEeh2Ibobh23z3D6RVSHza2MKtlUKBQdo7k0nN48\nXi9kS/07QGUnoERfoVB0jObScGl5NUClD1Cir1AoOkZ36Ti9OTVApQ9Qoq9QKDpGc2k4vMtOXw1Q\n2boEPAGyxSzJpaQSfYVCsT50l47Dk6tNzVJOf+viEA7C3jAzqRkl+gqFYn1oLg3hzhvxTkHFO1ud\niBYhVUgp0VcoFOvDFP1avKOqd7Y0ZvttJfoKhWJd6G4d3Cre6RdM0e/FbAgl+grFNkRzaUin4fRV\n9c7WJ6JF8Dg9PZmwpkRfodiG6C6dS/bk+Me/WelZIy/F+olokZ79jZToKxTbEM2l4fHlueb6nLE7\n1+Hc7ENStCGiRXq27qJEX6HYhuhunVwpp6KdPkE5fYVC0RHmcHS1Mas/UKKvUCg6ol70ldPf+kS1\naP+IvhDid4UQFSFErO62jwshXhRCnBRC3NHpcygUirWhu3RyxZzamNUnRPVoz67IOqoPEkLsBt4C\nvFp32z7gHmAfMAb8HyHElVLKSifPpVAoVo8l3lEbs7Y8t++5nb2xvT15rk6d/r8DPtpw293An0sp\ni1LKM8Bp4HCHz6NQKNaAuZCr4p3+QHNpXDV4VU+ea92iL4S4G5iUUj7TcFccmKz7ehLD8SsUih5h\nOn1VvaNopG28I4R4BBixuet+4ONAfV4v2jyUtLvxwQcfrP376NGjHD16tN3hKBSKVaLine3DsWPH\nOHbsWNceT0hpq8ftf0iI64DvA9nqTePAFPB64AMAUsrPVr/3b4A/kFI+1vAYcj3PrVAoVubs4llu\n/uOb+e0jv81MaoaH7nxosw9J0SWEEEgp25nstqwr3pFSPielHJZSTkgpJzAinBullOeBbwPvE0J4\nhBATwF7g8fUeoEKhWDu1eEdV7yga6FZ3n5pll1KeEEI8DJwASsC9ytIrFL2lfiF3yD+02Yej2EJ0\nRfSllHsavv408OluPLZCoVg79Zn+RHRisw9HsYVQO3IVim2Iy+HCIRwk8gkV7ygsKNFXKLYpmktj\nLjunqncUFpToKxTbFM2lMZ+bV05fYUGJvkKxTdFdOrOZWSX6CgtK9BWKbUot3lGtlRV1KNFXKLYp\nultnqbyknL7CghJ9hWKbork0ACX6CgtK9BWKbYop+qp6R1GPEn2FYpuiu3SAnk1kUvQHSvQVim2K\n5tLwuX04Hc7NPhTFFkKJvkKxTdHduop2FE0o0VcotimaS1OLuIomlOgrFNsU3aUr0Vc0oURfodim\naC5NbcxSNKFEX6HYpqh4R2GHEn2FYpui4h2FHUr0FYptiubSVPWOogkl+grFNiWshYnpsc0+DMUW\nQ2zW+FohhBqdq1BsIIVygUK5oCKebYYQAimlWPfPK9FXKBSK/qFT0VfxjkKhUOwglOgrFArFDqJj\n0RdC/K4QoiKEiFW/vkwIkRNCHK/+94XOD1OhUCgU3aAj0RdC7AbeArzacNdpKeWB6n/3dvIcO4Fj\nx45t9iFsGdS5WEadi2XUuegenTr9fwd8tBsHspNRL+hl1LlYRp2LZdS56B7rFn0hxN3ApJTyGZu7\nJ6rRzjEhxK3rPzyFQqFQdBNXuzuFEI8AIzZ33Q98HLij/tur/58GdkspE0KIG4FvCSGulVKmunHA\nCoVCoVg/66rTF0JcB3wfyFZvGgemgMNSygsN3/tD4HellE823K6K9BUKhWIdbPrmLCHEK8BBKeVF\nIcQgkJBSloUQe4AfAddJKRc6fiKFQqFQdETbeGcN1H9yvAn4V0KIIlABPqQEX6FQKLYGm9aGQaFQ\nKBS9Z1N25Aoh3iqEOCmEeFEI8S824xg2CyHEbiHED4UQPxdCPCeE+KfV22NCiEeEEKeEEP9bCBHZ\n7GPtFUIIZ7Xa6zvVr3fkuRBCRIQQfyGEeF4IcUII8fodfC4+Un1/PCuE+KoQwrtTzoUQ4stCiPNC\niGfrbmv5uwshPl7V0pNCiDvsH3WZnou+EMIJ/CfgrcA+4FeEENf0+jg2kSLwESnltcCbk6kBAAAD\nCklEQVQR4MPV3/9jwCNSyisxFsk/tonH2GvuA06wHBPu1HPxH4D/JaW8BngdcJIdeC6EEGPAb2Gs\nE14POIH3sXPOxZ9g6GM9tr+7EGIfcA+Glr4V+IIQoq2ub4bTP4yxY/eMlLIIfA24exOOY1OQUp6T\nUj5V/XcaeB4YA34R+O/Vb/vvwLs25wh7ixBiHLgL+BLLZb877lwIIcLAG6WUXwaQUpaklIvswHNR\nxQX4hBAuwIdRCr4jzoWU8sdAouHmVr/73cCfSymLUsozwGkMjW3JZoj+GHC27uvJ6m07DiHEZcAB\n4DFgWEp5vnrXeWB4kw6r1/wh8M8xFv1NduK5mABmhRB/IoR4UgjxRSGEnx14LqSUU8BDwGsYYr8g\npXyEHXgu6mj1u8cxNNRkRT3dDNFXK8eAECIAfAO4r3HjWnXQwLY/T0KIdwAXpJTHWXb5FnbKucBw\ntjcCX5BS3ghkaIgvdsq5EEJEMZztZRiiFhBCvL/+e3bKubBjFb972/OyGaI/Beyu+3o31k+qbY8Q\nwo0h+H8qpfxW9ebzQoiR6v2jwIVWP7+NeAPwi9V9Hn8OvFkI8afszHMxidHW5KfVr/8C40Pg3A48\nF7cDr0gp56WUJeCbwM3szHNh0uo90ain5kbZlmyG6D8B7K22YPZgLEJ8exOOY1MQQgjgj4ETUsp/\nX3fXt4Ffr/7714FvNf7sdkNK+XtSyt1SygmMhbofSCl/jZ15Ls4BZ4UQV1Zvuh34OfAddti5wOja\ne0QIoVffL7djLPTvxHNh0uo98W3gfUIIjxBiAtgLPN72kaSUPf8PeBvwAsaiw8c34xg26z/gVoz8\n+ingePW/twIx4P8Ap4D/DUQ2+1h7fF5+Afh29d878lwANwA/BZ7GcLfhHXwuHsQocngWY+HSvVPO\nBcZV7zRQwFj//EC73x34vaqWngTuXOnx1eYshUKh2EGocYkKhUKxg1Cir1AoFDsIJfoKhUKxg1Ci\nr1AoFDsIJfoKhUKxg1Cir1AoFDsIJfoKhUKxg1Cir1AoFDuI/w95O48RTg7LlwAAAABJRU5ErkJg\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10acdaa50>"
]
}
],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"check_pixel(temperature_data, dtrd, Y=1200, X=780)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAESCAYAAAAR2wXeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10ac592d0>"
]
}
],
"prompt_number": 23
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have the method worked out we will write a\n",
"more generalized script that can be used on all four variables\n",
"and likely will concatenate the months to create new output series\n",
"in the same shape/format as the original input tifs.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Yikes, lots of memory use! \n",
"# See what we are using:\n",
"print dtrd.nbytes/1024.0/1024.0/1024.0, \"GBs\"\n",
"print temperature_data.nbytes/1024.0/1024.0/1024.0, \"GBs\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1.76429748535 GBs\n",
"1.76429748535 GBs\n"
]
}
],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 120
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 117
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%reset -f"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import rasterio\n",
"ds_orig = rasterio.open('orig.vrt', 'r')\n",
"ds_new = rasterio.open('month-12-new.vrt', 'r')\n",
"ds_orig_data = ds_orig.read?\n",
"ds_orig_data = ds_orig.read()\n",
"ds_new_data = ds_new.read()\n",
"plt.imshow(ds_orig_data[0])\n",
"plt.ion()\n",
"plt.show()\n",
"ds_orig_data = np.ma.masked_outside(ds_orig_data, -500, 500, copy=False)\n",
"ds_new_data = np.ma.masked_outside(ds_new_data, -500, 500, copy=False)\n",
"plt.imshow(ds_orig_data[0])\n",
"f0 = plt.figure()\n",
"f1 = plt.figure()\n",
"plt.plot(ds_new_data[0,550,1050])\n",
"plt.plot(ds_new_data[:,550, 1050])\n",
"plt.plot(ds_orig_data[:,550,1050], label='orig')\n",
"plt.plot(ds_new_data[:,550,1050], label='detrended')\n",
"ds_orig_data[0,0,0]\n",
"ds_orig_data[0,550,1050]\n",
"ds_new_data[0,550,1050]\n",
"plt.plot(ds_new_data[:,551,1050], label='detrended')\n",
"plt.plot(ds_orig_data[:,551,1050], label='orig')\n",
"plt.plot(scipy.signal.detrend(ds_orig_data[:,551,1050], label='fresh detrend')\n",
")\n",
"import scipy.signal\n",
"plt.plot(scipy.signal.detrend(ds_orig_data[:,551,1050], label='fresh detrend')\n",
")\n",
"plt.plot(scipy.signal.detrend(ds_orig_data[:,551,1050], axis=0), label='fresh detrend')\n",
")\n",
"plt.plot(scipy.signal.detrend(ds_orig_data[:,551,1050], axis=0), label='fresh detrend')\n",
"fdt = scipy.signal.detrend(ds_orig_data[:,551,1050], axis=0\n",
")\n",
"fdt[0]\n",
"ds_orig_data[0,551,1050]\n",
"ds_new_data[0,551,1050]\n",
"fdt[0]+=ds_orig_data[0,551,1051]\n",
"fdt[0]-=ds_orig_data[0,551,1051]\n",
"fdt[0] + ds_orig_data[0,551,1051]\n",
"plt.plot(fdt + ds_orig_data[0,551,1050], label='fresh detrend + offset')\n",
"plt.legend()\n",
"plt.plot(fdt + (ds_orig_data[0,551,1050]-fdt[0]), label='fresh detrend + offset2')\n",
"plt.legend()\n",
"history"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 116
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 116
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 116
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 116
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 116
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 116
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 117
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 117
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment