1. Introduction to Statistical Methods in Earth and Atmospheric Sciences#

1.1. What are “statistical methods,” and why do we need them in Earth and atmospheric sciences?#

To address this, let’s split the course title into three pieces:

  1. Statistical

  2. Methods

  3. in Earth and Atmospheric Sciences

1.1.1. “Statistical”#

Imagine a very simple dataset: “Whether or not it rained more than one foot in Central Park on August 15, 2023”. It consists of a single value: No (you can take my word for it).

We don’t need anything complicated to characterize it. As the saying goes, in this rather odd instance, the data “speaks for itself.”

Now let’s look at a more realistic dataset: the actual daily precipitation as measured by the Central Park weather station. This record spans from the year 1869 to today. Does this data “speak for itself”?

If it did, we could just print out its values, take it all in, and be pleased with ourselves. Let’s try that using Python, the programming language that we’ll use throughout this course (if the lines of code below seem mysterious or confusing to you, just set that aside for now, and trust that we’ve used them to load daily data from the Central Park weather station):

import xarray as xr
filepath_in = "../data/central-park-station-data_1869-01-01_2023-09-30.nc"
ds_central_park = xr.open_dataset(filepath_in)
precip_central_park = ds_central_park["precip"]
print(f"# of values in the dataset: {len(precip_central_park)}")
# of values in the dataset: 56520

That’s probably more than we can take in by eye. Let’s try anyways:

import numpy as np

# Need this so that it actually prints all the values rather than just a few.
with np.printoptions(threshold=np.inf):
    print(precip_central_park.values)
[0.75 0.03 0.   0.18 0.05 0.   0.   0.   0.   0.01 0.   0.85 0.   0.
 0.04 0.   0.   0.   0.15 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.47 0.   0.   0.   0.   1.55 0.   0.   0.   0.   0.   0.85 0.05
 0.   0.   0.   2.6  0.   0.   0.54 0.06 0.   0.   0.   0.56 0.   0.
 0.66 0.   0.   0.   0.02 0.   0.1  0.   0.03 0.   0.   0.   1.06 0.
 0.   0.   0.02 0.18 0.   0.   0.   0.   0.28 0.   0.   0.95 0.   0.
 0.   0.78 0.   0.   1.15 0.04 0.01 0.43 0.   0.   0.   0.   0.3  0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.   0.   0.12 0.08 0.
 0.   0.   0.   0.   0.   0.05 0.36 0.   0.58 0.7  0.02 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.12 0.   0.15 0.5  0.   0.   0.87 0.
 0.27 0.19 0.   0.   0.   0.4  0.   0.07 0.   0.14 0.14 0.   0.08 0.
 0.   0.08 0.   0.   0.33 0.   0.19 0.01 0.01 0.   0.93 0.06 0.   0.
 0.   0.   0.   1.53 0.02 0.   0.01 0.   0.02 0.67 0.2  0.   0.26 0.
 0.   0.42 0.   0.   0.   0.   0.   0.52 0.   0.   0.   0.1  0.18 0.05
 0.38 0.   0.   0.   0.04 0.64 0.   0.   0.   0.   0.55 0.23 0.   0.09
 0.   0.   0.   0.   0.   0.   0.37 0.   0.   0.   0.   0.   0.   0.
 0.63 0.   0.49 0.   0.08 0.   0.   0.   0.05 0.   0.   0.   0.   0.
 0.   0.14 0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.09 0.24 0.
 0.   0.   0.   0.   0.   0.   0.   0.73 0.   0.   0.   0.01 0.3  0.
 0.   0.   0.05 1.35 0.   0.   0.   0.   0.01 1.84 2.06 0.   0.   0.
 0.   0.   1.27 0.   0.   0.44 0.   0.3  0.01 0.   0.   0.   0.   0.
 0.   0.51 0.   0.   0.   0.   0.01 0.03 0.   0.   0.   0.   0.   0.
 0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.9  0.
 0.01 0.18 0.   0.   0.08 0.68 0.   0.   0.14 0.   0.   0.02 0.07 0.
 0.03 0.   0.08 0.71 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.6
 0.   0.7  0.02 0.   0.01 1.   0.   0.   0.04 1.14 0.39 0.23 0.   0.
 0.   0.08 1.18 0.   0.   0.   0.06 0.11 0.1  0.   0.   0.   0.   0.
 0.03 0.32 0.   0.15 0.   0.   0.   0.   0.   0.03 0.05 1.33 0.   0.
 0.   0.93 0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.82 0.   0.
 0.   0.03 0.   0.4  0.42 0.   0.   0.41 0.   0.57 0.   0.   0.   0.
 0.   0.   0.03 0.15 0.   0.   0.   0.04 0.02 0.07 0.5  0.   0.   0.
 0.   0.06 0.45 0.   0.   0.9  0.01 0.   0.   0.   0.04 0.   0.   0.
 0.   0.   1.13 0.11 0.   0.   0.   0.   0.92 0.22 0.43 0.87 0.17 0.
 0.   0.   0.   0.57 0.17 0.   0.   0.   0.   0.8  0.44 0.   0.   0.01
 0.   0.   0.   0.   0.   0.   0.47 0.04 0.   0.   0.   0.   0.06 0.
 0.16 0.08 0.   0.02 0.46 0.34 0.   0.   0.   0.   0.   0.   0.   0.
 0.16 0.1  0.   0.   0.04 0.   0.   0.13 0.1  0.18 0.   0.   0.   0.
 0.03 0.   0.01 0.   0.1  0.   0.   1.05 0.2  0.02 0.03 0.   0.19 0.
 0.13 0.   0.   0.08 0.01 0.   0.   0.   0.   0.   0.93 0.04 0.   0.
 0.02 0.   0.24 0.   0.   0.   0.27 1.   0.   0.   0.   0.22 0.   0.
 0.   0.06 0.   0.   0.   0.   0.4  0.   0.   0.   0.   0.   0.   1.55
 0.   0.   0.   0.   0.   0.   0.36 0.   0.   0.   0.   0.   0.25 1.16
 0.   0.72 0.3  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.24
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.85 0.04 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   1.63 0.02 0.   0.81 0.   0.   0.
 0.   0.   0.   0.   0.3  1.91 0.01 0.   0.   0.   0.   0.   0.   0.93
 0.   0.   0.   0.   0.   0.12 0.06 0.02 0.   0.07 0.72 0.   0.36 0.
 0.   0.01 0.   0.   0.   0.26 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   1.39 0.09 0.   0.15 0.16 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.09 0.   0.   0.   0.06 1.11 0.   0.   0.
 0.   0.   0.   0.31 0.46 0.   0.   0.   0.   0.   0.   0.   0.1  0.
 0.05 0.   0.   0.   0.   0.   0.   0.11 0.   0.01 0.   0.   0.   0.
 0.   0.   0.09 0.39 0.   0.   0.   0.   0.21 0.   0.17 0.03 0.   0.72
 0.02 0.08 0.07 0.   0.17 0.02 0.   0.   0.   0.   0.   0.   0.11 0.
 0.   0.   0.4  0.   0.37 0.   0.   0.   0.95 0.   0.06 0.16 0.   0.
 0.   0.   0.52 0.15 0.   0.   0.   0.14 0.12 0.   0.17 0.   0.02 0.02
 0.15 0.14 0.44 0.   0.02 0.55 0.02 0.31 0.33 0.   0.36 1.97 0.   0.
 0.   0.   0.26 0.41 0.   0.   0.11 0.   0.55 0.06 0.   0.55 0.   0.
 0.   0.   0.   0.   0.35 0.   0.01 0.   0.01 0.   0.   0.   0.01 0.14
 0.06 0.   0.   0.   0.   0.   1.02 0.27 0.   0.   0.   0.   0.15 0.9
 1.33 0.58 0.29 0.   0.   0.   0.   0.   0.   0.   0.   0.15 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.64 0.
 0.   0.   0.31 0.   0.   1.87 0.   0.   0.   0.06 0.52 0.1  0.   0.45
 0.   0.   2.33 0.   0.28 0.   0.   0.   0.88 0.   0.   0.   0.25 0.
 0.   0.   0.   0.55 0.   0.   0.05 0.11 0.   0.27 0.01 0.21 0.03 0.
 0.   0.02 1.5  0.18 0.   0.1  0.26 0.06 0.02 0.   0.   0.59 0.59 0.19
 0.6  0.04 0.   0.19 0.   0.   0.   0.07 0.37 0.   0.   0.45 0.   0.
 0.   0.   0.   0.   0.   0.86 0.   0.   0.   0.   0.   0.   0.46 0.19
 1.08 1.   0.31 0.16 0.11 0.54 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.2  0.   1.02 0.02 0.   0.   0.   0.03 0.
 0.   0.   0.   0.   1.07 0.   0.   0.   0.   0.   0.   0.06 0.   0.
 2.7  0.02 0.   0.   2.44 0.21 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.08 0.26 0.41 1.32 0.   0.   0.   0.   0.47 0.
 0.   0.   0.   0.   0.   0.   0.   0.75 0.   0.   0.   1.13 0.02 0.
 0.   0.   0.   0.44 0.   0.16 0.   0.46 0.   0.   0.22 0.   0.01 0.
 0.   0.   0.14 0.04 0.   0.   0.01 0.   0.   0.   0.   0.   0.34 0.
 0.   0.   0.01 0.1  0.08 0.01 0.   0.09 0.71 0.   0.   0.14 0.04 0.
 0.17 0.22 0.14 0.   0.   0.75 0.5  0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.03 0.   0.   0.48 0.02 0.   0.   0.   0.   0.
 0.   0.   0.1  0.   0.   0.   0.   0.   0.37 0.   0.   0.04 0.   0.
 0.   0.   0.06 0.   0.74 0.04 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.04 0.   0.   0.   0.   0.   0.03 0.   0.03 0.   0.   0.
 0.   0.06 1.11 0.   0.14 0.   0.24 0.07 0.   0.03 0.   0.   0.   0.
 0.   0.01 0.   2.25 0.   0.   0.   0.   0.   1.27 0.   0.   0.   0.
 0.   0.   1.13 0.11 0.4  0.07 0.   0.   0.15 0.   0.12 0.   0.   0.15
 0.08 0.   0.   0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.62
 0.   0.05 0.   0.   0.   0.   0.   0.11 0.   0.   0.   0.   0.   0.
 0.   0.   0.42 0.04 0.   0.33 0.01 0.   0.   0.   0.34 0.   0.   0.76
 0.   0.07 0.   0.   0.21 0.29 0.   0.2  0.61 0.   0.11 0.   0.01 0.
 0.39 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.   0.03 0.
 0.   0.01 0.   0.   0.   0.   1.2  0.28 0.   0.   0.   0.   0.13 0.02
 0.01 0.   0.   1.57 0.03 0.   0.02 0.   0.   0.   1.12 0.   0.23 0.
 2.91 0.   0.   0.   0.   0.31 0.   0.01 0.   0.6  0.   0.   0.   0.
 0.   0.54 0.   0.35 0.2  0.   0.39 1.25 0.07 0.   0.15 0.06 0.   0.3
 0.   0.   0.   0.   0.   0.   0.5  1.87 0.   0.   0.02 0.   0.   0.
 0.   0.   0.   0.18 0.   0.   0.   0.48 0.   0.13 0.09 0.   0.   0.25
 0.   0.   0.   0.   0.   0.   0.41 0.9  0.49 0.   0.   0.06 0.02 0.
 0.   0.   0.   0.17 0.07 0.   0.03 0.   0.   0.   0.   0.   0.   0.
 0.44 0.   0.   0.   0.   0.06 0.44 0.34 1.56 0.06 0.1  0.   0.   0.
 0.   0.   0.1  0.   0.   0.83 1.61 0.   0.   0.   0.02 0.42 0.   0.13
 0.   0.08 0.   0.   0.   0.   0.   0.37 0.   0.   0.   0.26 0.   0.
 0.26 0.   0.01 0.15 0.   0.   0.   0.   0.   0.14 0.   0.   0.   0.
 0.   0.   0.   0.24 0.   0.34 0.01 1.38 0.   0.   0.   0.   0.   0.65
 0.   0.   0.   0.03 0.23 0.   0.09 0.74 0.   1.37 0.   0.   0.25 0.03
 0.   0.   0.   0.   0.04 0.   0.17 0.94 0.47 0.   0.01 0.2  0.01 0.37
 0.06 0.   0.   0.59 0.   0.   0.   0.   0.   0.   0.24 0.01 0.   0.
 0.37 0.   0.   0.   0.   0.04 0.27 0.   0.   1.18 0.   0.   0.09 0.
 1.28 0.   0.   0.   0.   0.   0.32 0.   0.   0.   0.01 0.   0.   0.
 0.   0.   0.   0.02 0.35 0.   0.   0.   0.   0.   0.   0.02 0.   0.36
 0.02 0.   0.   0.01 0.1  0.48 0.   0.   0.66 0.   0.06 0.02 0.49 0.
 0.   0.3  0.1  0.   0.   0.03 0.07 0.   1.19 0.   0.   0.   0.03 1.59
 0.01 0.08 0.   0.   0.07 0.05 0.   0.   0.   0.   0.   0.05 0.08 0.
 1.28 0.44 0.   0.   0.   0.   0.15 0.8  0.   0.18 0.07 0.07 0.   0.
 0.   0.   0.   0.   0.   0.39 0.25 0.   0.04 0.   0.   0.   0.   0.
 0.02 0.   0.   0.   0.   0.03 0.01 0.71 0.   0.   0.   0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.12 0.13 0.   0.
 0.   0.27 0.   0.   0.17 0.   0.37 0.09 0.94 0.   0.   0.   0.   0.
 0.28 0.   0.   0.   0.02 0.   0.52 0.26 0.01 0.   0.   0.   0.   0.
 0.   0.07 1.36 0.   0.52 0.   0.   0.03 0.   0.19 0.   0.   0.   0.
 0.29 0.   0.   0.   0.   0.37 1.74 0.   0.16 0.06 0.48 0.09 4.8  0.04
 0.   0.   0.   0.   0.   0.   0.   0.04 0.77 0.5  0.01 0.   0.   0.53
 0.   0.   0.24 0.09 0.   0.04 0.   0.   0.12 0.2  0.   0.   0.   0.
 0.86 0.   0.   0.   0.07 0.74 0.04 0.02 0.   0.   0.16 0.02 0.   0.
 0.   0.13 0.   0.89 0.3  0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.09 0.61 0.01 0.   0.   0.   0.   0.03 0.66 0.   0.   0.01
 0.   0.   0.   0.   0.   0.   0.   0.95 0.27 0.   0.   0.04 0.23 0.
 0.   0.   0.   0.39 0.55 0.   0.   0.   0.   0.21 1.99 0.   0.   0.
 0.   0.   0.   0.04 0.39 0.   0.   0.   0.   0.   0.04 0.1  0.   0.01
 0.02 0.42 0.   0.   0.   0.   0.   0.5  0.   0.   0.   0.08 0.   0.
 0.39 0.42 0.55 0.   0.   0.   0.05 0.3  0.   0.   0.16 0.39 3.12 0.25
 0.   0.   0.   0.   0.   0.55 0.   0.   0.   0.   0.15 0.   0.15 0.01
 0.07 0.   0.   0.   0.   0.13 0.   0.   0.   0.   0.34 0.21 0.   0.
 0.17 0.26 0.   0.   0.   0.   0.   0.3  0.01 0.   0.   0.   0.   0.07
 0.01 0.05 0.   0.   0.   0.6  0.02 0.   0.   0.   0.   0.   0.14 0.
 0.3  0.49 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.82 0.06 0.03
 0.   0.   0.   0.   0.   0.   0.   0.03 0.22 0.   0.   0.03 0.   0.
 0.   0.   0.33 0.08 0.04 0.42 0.82 1.17 0.01 0.   0.   0.   0.06 0.
 0.46 0.   0.11 1.85 0.   0.   0.33 0.   1.39 0.13 0.   0.85 0.72 0.
 0.   0.   0.   0.   0.13 0.02 0.   0.   0.   0.   0.   0.   0.   0.
 0.26 0.91 0.   0.15 0.   0.02 0.14 0.   0.   0.   0.51 0.   0.   0.
 0.   0.   0.1  0.29 0.   0.33 0.5  0.   0.   0.   0.   0.66 0.   0.14
 0.02 0.   0.   0.   0.02 0.29 0.   0.   0.01 0.   0.   0.01 0.   0.
 0.49 0.   0.   0.02 0.   0.   0.01 0.   0.44 0.   0.   0.   0.03 0.17
 1.94 0.78 0.83 0.   0.   0.   0.   0.   0.   0.   0.36 0.03 0.   0.
 0.   0.   0.   0.   0.   0.47 0.   0.   0.67 0.   0.   0.   0.   0.
 0.3  1.05 0.17 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.24 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.86 3.28
 2.95 0.09 0.39 0.01 0.   0.   0.   0.   0.   0.   0.   0.64 0.   0.
 0.   0.   0.   0.   0.   0.24 1.03 0.   0.41 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.
 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.
 0.   0.   0.   0.   0.07 0.11 0.   0.26 0.   0.08 1.17 0.   0.   0.
 0.   0.   0.56 0.   0.   0.   0.   0.   0.   0.13 0.3  0.   0.   0.02
 0.11 0.   0.   0.1  0.   0.   0.03 0.   0.   1.92 0.02 0.05 0.   0.
 0.   0.   0.   0.12 0.02 0.   0.   0.   0.35 0.   0.02 0.   0.   0.76
 0.   0.   0.   0.   0.01 0.23 0.   0.   0.   0.   0.14 0.   0.   0.
 0.17 0.   0.76 0.   0.   0.   0.26 0.14 0.09 0.24 0.05 0.   0.48 0.
 0.   0.   0.   0.   0.   0.   0.88 0.   0.01 0.   0.   0.   0.   0.
 0.   0.41 0.   0.   0.   0.15 0.57 0.   0.07 0.   0.9  0.   0.34 0.1
 0.19 0.04 0.8  0.23 0.   0.   0.   0.   0.14 0.01 0.11 0.   0.   0.
 0.   0.54 0.   0.   0.   0.07 0.   0.01 0.   0.   0.   0.   0.   0.
 0.06 0.34 0.31 0.   0.   0.06 0.   0.02 0.   0.   0.1  0.87 0.14 0.
 0.1  0.   0.   0.   0.   0.   0.   0.   0.37 0.44 0.   0.   0.21 0.06
 0.   0.06 0.03 0.   0.4  0.   0.16 0.   0.13 0.   0.   0.   0.03 0.
 0.   0.02 0.   0.   0.   0.08 0.   0.   0.   0.   0.   0.42 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.17 0.   0.18 0.01
 0.   0.06 0.36 0.   0.   0.   0.01 0.88 0.   0.   0.   0.   0.72 0.
 0.   0.   0.09 0.   0.16 0.08 0.   0.   0.   0.   0.29 0.44 0.15 0.
 0.   0.   0.   0.   0.12 0.   0.   0.41 0.   0.13 0.   0.   0.   0.
 0.46 0.   0.   1.84 0.17 0.15 0.7  0.   0.   0.   1.5  0.09 0.37 0.18
 0.   1.   0.   0.   0.   0.22 2.63 0.43 0.   0.   0.   0.44 1.95 0.
 0.   0.   0.09 0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.39 0.   0.   0.37 0.   0.06 0.22
 0.   0.03 0.71 0.   0.   0.   0.   0.   0.   0.11 0.   0.   0.   0.
 0.12 0.   0.   0.   0.   0.31 0.45 0.   0.   0.08 0.01 0.   0.   0.
 0.15 0.41 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.2  0.15 0.
 0.   0.76 0.01 0.   0.   0.   0.1  0.   0.   0.   0.   0.   1.41 0.
 0.   0.   0.06 0.   0.27 0.   0.   0.04 0.   0.02 0.   1.32 0.   0.
 0.56 0.   0.   0.   0.   0.   0.   0.   0.   0.2  0.44 0.14 0.36 0.
 0.   0.   0.   0.03 0.   0.   0.   0.01 0.   0.   0.   0.   0.22 0.
 0.3  0.04 0.01 0.13 0.2  0.01 0.03 0.   0.   0.07 0.   0.   0.   0.
 0.   0.02 0.   0.02 0.   0.   0.   0.   0.   0.   0.24 0.   0.2  0.01
 0.   0.02 0.19 0.01 0.   0.   0.15 0.   0.01 0.   0.   0.15 0.53 0.19
 0.85 0.   0.22 0.15 0.   0.05 0.   0.   0.   0.13 1.   0.71 0.   0.
 0.   0.   0.   0.04 0.46 0.   0.   0.   0.   0.   0.3  0.03 0.09 0.02
 0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.01 0.43 0.   0.   0.65
 0.15 0.   0.   0.65 1.85 0.   0.   0.   4.25 0.06 0.   0.35 0.22 0.
 0.   0.   0.   1.65 0.72 0.   0.   0.   0.   0.   0.   0.   0.01 0.
 0.07 0.   0.01 0.   0.   0.   0.1  0.03 0.   0.   0.   0.   0.   0.
 0.26 0.   0.21 0.   0.   0.   0.   0.   0.11 0.   0.24 1.17 0.3  0.
 0.11 0.   0.   0.   0.   0.   0.17 0.   0.   0.09 0.72 0.   0.   0.
 0.   0.   0.   0.12 0.   0.   0.   0.   0.05 0.4  0.3  0.   0.   0.
 0.   0.   0.   0.04 1.43 0.   0.   0.   0.   0.   0.12 0.13 0.16 0.
 0.   0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.1  0.93 0.   0.   0.   0.   0.   0.   0.18 0.   0.06
 0.   0.   0.03 0.   0.   0.   0.   0.46 0.11 1.56 0.22 0.   0.   0.
 0.   0.   0.   0.2  0.   0.   0.   0.   0.   0.   0.   0.02 0.   2.06
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.05 0.   0.34 0.   0.   0.   0.06 0.   0.   0.26 0.   0.   0.33
 0.13 0.   3.37 0.   0.   0.   0.   0.02 0.01 0.21 0.   0.32 0.01 0.
 0.   0.17 0.43 0.   0.   0.   0.03 0.05 0.   0.   0.   0.   0.   0.
 0.   0.04 0.32 0.   0.   0.   0.   0.   0.15 0.03 0.01 0.3  0.   0.
 0.   0.06 0.   0.   0.   0.   0.   0.07 0.   0.   0.02 1.5  0.01 0.
 0.03 0.   0.   0.   0.01 0.33 0.   0.   0.01 0.32 0.74 0.03 0.   0.
 0.   0.   0.15 0.09 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.01 0.   0.14 0.   0.   0.   0.   0.   0.   1.3  0.   0.   0.06
 0.2  0.02 0.   0.   0.07 0.   0.   0.74 0.   0.   0.2  0.34 0.   0.
 0.   0.24 0.76 0.   0.   0.09 0.   0.04 0.   0.   0.4  0.31 0.   0.
 0.   0.06 0.   0.15 0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.01
 0.51 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.02 0.   0.   0.   0.   0.64 0.02 0.   0.   0.   0.
 0.89 0.   0.07 0.   0.   0.   0.01 0.57 0.   0.   0.03 0.22 0.11 0.01
 0.31 0.11 0.   0.09 0.   0.38 0.07 0.   0.   0.   1.4  0.54 0.75 0.
 0.   0.   0.1  0.38 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.46 0.49 0.4  0.   0.   0.   0.   0.   0.
 0.   0.19 0.64 0.07 0.02 0.   0.   0.   0.   0.   0.   0.01 0.07 0.02
 0.   0.   0.   0.   0.   0.02 0.26 0.   0.   0.   0.15 0.16 0.   0.
 0.13 0.05 0.   0.   0.   0.06 0.   0.   0.   0.22 0.   0.   0.45 0.04
 0.   0.   0.09 0.   0.   0.   0.07 0.   0.18 0.   0.   0.18 0.   1.33
 0.01 0.   0.   0.   0.23 0.   0.   0.   0.   0.27 0.13 0.54 0.   0.07
 0.   0.   0.   0.58 0.   0.   0.   0.   0.   0.   0.   2.91 0.01 0.08
 0.3  0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.79 0.   0.   0.
 0.   0.   0.   0.   0.02 0.   0.03 0.   0.   0.02 0.61 0.85 0.47 0.08
 0.   0.   0.   0.   0.   0.   0.   0.07 0.48 0.   0.   0.   0.14 0.
 0.   0.02 0.   0.   0.   0.   0.11 0.57 0.   0.   0.   0.   0.   0.
 0.   0.07 0.   0.56 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   4.05 0.02 0.   0.   0.19 1.87 0.   0.02
 0.   0.   0.   0.   0.   0.   0.   0.07 0.15 0.42 0.94 0.   0.   0.
 0.01 0.   0.   0.   0.03 0.37 0.   0.92 0.   0.   0.86 0.02 0.   0.81
 0.78 0.34 0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.   0.
 0.   0.39 0.81 0.21 0.   0.01 0.4  0.   0.   0.   0.   0.09 0.55 0.02
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.
 0.92 0.   0.   0.   0.   0.01 0.6  0.07 0.   0.14 1.13 0.   0.   0.
 0.01 0.   0.39 0.   0.01 0.05 0.   0.05 0.5  0.08 0.19 0.   0.   0.31
 0.49 0.   0.   0.   0.   0.   0.   0.34 0.   0.44 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.03 0.05 2.39 0.01 0.   0.   0.   0.   0.
 0.   0.13 0.14 0.   0.   0.   0.02 0.   0.   0.   0.02 0.98 0.57 0.38
 0.   0.   0.75 0.09 0.   0.   0.   0.   0.   0.04 0.   0.   0.01 0.04
 0.   0.   0.1  0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.2  0.59
 0.02 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.24 0.   0.42
 0.   0.01 0.47 0.   0.   0.   0.   0.   0.06 0.54 0.   0.   0.01 0.61
 0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.32 0.   0.
 0.   0.   0.   0.   0.   0.   0.31 1.19 0.06 0.24 0.03 0.   0.   0.
 0.   0.08 0.   0.56 0.18 0.   0.   0.   0.   0.   0.   0.54 0.   0.
 0.   1.2  0.   0.19 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.12 0.52 0.45 0.   1.63 0.02 0.   0.   0.   0.   0.09
 0.   0.   0.68 0.   0.   0.   0.   0.   0.   0.   0.35 0.76 0.   2.85
 0.05 0.   0.01 0.   3.31 0.   0.   0.   0.05 0.01 0.   0.   0.   0.
 1.06 0.04 0.02 0.   0.   0.26 0.05 0.   0.   0.26 0.   0.   0.   0.
 0.   0.   0.51 0.   0.08 0.35 2.45 0.   0.   0.   0.   0.   0.   0.
 0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.19 0.   0.4
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.18 0.
 0.   0.   0.   0.   0.   0.   0.   0.96 0.   0.   0.   0.   0.73 0.
 0.   0.   0.03 0.03 0.   0.4  0.   0.   0.   0.   0.   0.   0.12 0.07
 0.01 0.   0.   0.   0.08 0.01 0.   0.   0.   0.41 0.13 0.   0.1  0.11
 2.03 0.   0.   0.   0.   1.66 0.   0.   0.   0.   1.   0.   0.2  0.
 0.   0.   0.   0.63 1.62 0.02 0.   0.   0.   0.21 0.   0.   0.   0.
 0.   1.39 0.   0.   0.   0.   0.   0.   0.   0.   0.07 0.   0.07 0.15
 0.   0.   0.   0.   0.   0.12 1.15 0.   0.   0.   0.   0.   0.07 1.05
 0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.
 0.   0.   0.   0.   0.   0.42 0.   0.   0.   0.   0.   0.44 0.25 0.
 0.   0.   0.   0.19 0.12 0.   0.09 0.   0.11 0.   0.   0.17 0.17 0.06
 0.   0.   0.   0.   0.06 0.04 0.04 0.   0.14 0.   0.02 0.   0.   0.
 0.   0.   0.   0.67 0.   0.   0.   0.13 0.55 0.65 0.   0.   0.04 0.57
 0.01 0.33 0.16 0.   0.   0.   0.02 0.   0.   0.   0.01 0.   0.   1.16
 0.04 0.   0.   0.01 0.17 0.   0.52 1.31 0.08 0.   0.   0.   0.   0.
 0.   0.   0.   0.8  0.21 0.   0.   0.   0.   0.01 0.   0.04 0.   0.
 0.   0.   0.   0.   0.   0.   0.07 0.22 0.1  0.   1.26 0.   0.06 0.
 0.   0.   0.24 0.   0.02 0.   0.   0.   0.   0.   0.19 0.62 0.49 0.17
 0.09 0.   0.   0.   0.   0.   0.07 0.   0.   1.04 0.   0.   0.06 0.
 0.   0.   0.02 0.   0.   0.01 0.04 0.1  0.02 0.16 0.07 0.   0.   0.
 0.46 0.   0.   0.   0.44 0.   0.06 0.06 0.01 0.   0.   0.   0.49 0.12
 0.   0.   0.   0.   0.   0.   0.01 0.84 1.03 0.06 0.   0.   0.   0.
 0.   0.   0.   0.65 0.   0.   0.   0.55 0.   0.   0.   0.   0.   0.07
 0.   0.72 0.64 3.95 0.   0.   0.   0.   0.   0.04 1.   0.33 0.   0.
 0.   0.   0.   0.   0.   1.11 0.02 0.   0.   0.19 0.02 0.   0.   0.
 0.   0.35 0.49 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.
 0.   0.   0.16 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.01 0.   0.   0.   0.   0.   0.01 0.06 0.02 0.02 0.04 0.01
 0.   0.   0.   0.   0.26 0.   0.   0.   0.   0.03 0.12 0.   0.06 0.25
 0.   0.   0.   0.   0.37 0.01 0.   0.08 0.   0.   0.   0.44 0.   0.01
 0.   0.   0.   0.   0.   0.   0.   0.22 0.61 0.   0.   0.   0.   0.
 0.   0.9  0.14 0.   0.   0.   0.12 0.   0.   1.44 0.   0.   0.   0.
 0.14 0.02 0.   0.66 0.9  0.01 0.32 0.   0.   0.   0.   0.   0.29 0.
 0.   0.   0.   0.   0.46 0.   0.   0.   0.02 0.   0.1  0.11 0.   0.01
 0.   0.   0.   0.01 0.11 0.   0.54 0.03 0.   0.   0.   0.6  0.   0.
 0.   0.03 0.   0.   0.53 0.   0.   0.   0.01 0.   0.   0.   0.   0.1
 0.72 0.02 0.04 0.   0.   0.05 0.   0.   0.05 0.   0.05 0.   0.   0.21
 0.   0.26 0.08 0.   0.   0.17 0.   0.17 0.   0.4  0.01 0.13 0.   0.3
 0.   0.01 0.04 0.01 0.85 0.   0.   1.1  0.04 0.   0.   0.02 0.   0.
 0.   1.36 0.02 0.03 0.   0.   0.   0.   0.59 0.14 0.1  0.1  0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.04 0.09 0.   0.01 0.07 0.   0.
 0.   0.56 0.   0.12 0.   0.   0.84 0.24 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.
 0.   0.   0.1  0.   0.   0.   0.   0.   0.   0.28 0.23 0.3  0.33 0.
 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.2  0.   0.21 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.09 0.   0.   0.07
 0.51 0.05 0.   1.65 0.16 0.   0.   0.   0.17 0.56 0.7  1.35 0.   0.34
 0.   0.   0.   0.   0.6  0.   1.86 0.   0.   0.   0.   0.51 0.   0.
 0.   0.   0.   0.   0.5  0.33 0.13 0.   0.   0.   0.   1.09 0.56 0.
 0.   0.03 0.   0.   0.   0.   0.   0.   0.97 0.   0.   0.   1.17 0.
 0.   0.   0.13 0.35 0.   0.   0.   0.   0.   0.   0.02 0.03 0.   0.67
 0.54 0.   0.   0.38 0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.14 0.   0.   0.   0.   0.   0.11 0.51 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.41 0.   0.   0.   0.
 0.56 0.01 0.   0.   0.02 0.   0.   0.   1.18 0.   0.   0.   0.   0.
 0.81 0.19 0.02 0.   0.   0.   0.62 0.   0.   0.   0.   0.   0.   0.03
 0.   0.45 0.   0.   0.   0.01 0.12 0.01 0.   0.2  0.   0.   0.51 0.
 0.   0.   0.9  0.   0.   0.   0.   0.   0.   0.   0.07 0.1  0.   0.
 0.   0.   0.   0.   0.07 0.   0.   0.14 0.   0.16 0.04 0.   0.28 0.
 0.   0.   0.   0.   0.21 0.15 0.57 0.   0.   0.4  1.72 0.01 0.   0.
 0.22 0.   0.   0.   0.   0.   0.   1.33 0.09 0.   0.   0.   0.   0.
 0.   0.   0.1  0.   0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.3
 0.   1.48 0.   0.   0.   0.18 0.   0.11 0.98 0.   0.28 0.   0.08 0.
 0.21 0.   0.4  0.81 0.2  0.   0.   0.89 0.   0.   0.   0.   0.99 0.12
 0.   0.42 0.1  0.   0.   0.   0.1  0.01 2.19 0.04 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.71 0.04 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.2  0.54 0.04 0.03 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.14 0.   0.   0.   0.   0.   0.06 0.   0.   0.
 0.78 0.   0.   0.   0.   0.   0.03 0.   0.   0.29 0.24 0.   0.21 0.
 0.18 0.   1.25 0.   0.   0.   0.   0.   0.   0.   0.   0.16 0.13 0.01
 0.35 0.03 0.06 0.   0.62 0.33 0.78 2.07 0.02 0.   0.   0.48 0.   0.
 0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.34 0.08 0.   0.
 0.   0.   0.   0.8  0.   0.04 0.   0.06 0.   0.   0.11 0.   0.01 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.2  0.03 0.   0.   0.   0.   0.07 0.   0.74 0.   0.01 0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.02 0.   0.01 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.   0.   0.
 0.   0.09 0.04 0.62 0.   0.   0.   0.13 0.   0.   0.   0.   0.   0.
 0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.33 0.   0.   0.
 0.   0.   0.19 0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.2  0.   0.   0.   0.   0.37 0.11 0.31 0.07 0.   0.23
 0.29 0.   0.   0.04 0.2  0.15 0.   0.   0.65 0.   0.   0.   0.   0.
 0.   0.05 0.   0.   0.01 0.59 0.07 0.   0.   0.   0.   0.   0.01 0.51
 0.   0.01 0.5  0.   0.   0.2  0.   0.   0.   0.   0.03 0.   0.4  0.4
 0.   0.   0.   0.   0.   0.01 0.53 0.21 0.   0.   0.   0.69 0.   0.69
 0.   0.   0.02 0.   0.   0.   0.   0.12 0.   0.13 0.   0.23 0.64 0.
 0.83 0.   0.   0.05 0.32 0.3  0.1  0.   0.46 0.   0.   0.   0.32 0.43
 0.01 0.33 0.   0.   0.79 0.02 0.   0.   0.44 0.15 0.   0.   0.   0.84
 0.   0.   0.   0.14 0.   0.   0.43 0.06 0.   0.26 0.16 0.79 0.   0.
 0.   0.   0.   0.   0.14 0.99 0.01 0.   0.   0.   0.18 0.   0.   0.39
 0.   0.   0.01 0.   0.   0.   0.15 0.   0.   0.06 0.   0.33 0.09 0.
 0.   0.   0.   0.21 0.05 0.   0.06 0.   0.   0.03 0.   0.   0.04 0.01
 0.01 0.   0.12 0.14 0.   0.   0.   0.   0.   0.   0.   0.   0.45 0.02
 0.   0.   0.   0.   0.   0.43 0.34 0.05 0.   0.   0.   0.   0.   0.
 0.1  0.29 0.   0.1  0.1  0.07 0.07 0.84 0.   1.12 0.12 0.   0.   0.
 0.   0.   0.   0.   0.14 0.   0.74 0.   0.   0.46 0.05 0.   0.   0.27
 0.   0.   0.05 0.   0.   0.   0.   0.   0.01 0.11 0.   0.   0.   0.36
 0.   0.   0.12 0.8  0.   0.   0.   0.   0.   0.   0.56 0.   0.   0.
 0.24 1.41 0.   0.   0.23 0.86 0.   0.   0.   0.   0.   0.   0.03 0.33
 0.   0.   0.   0.   0.   0.35 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.02 0.   0.   0.
 0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.   0.   0.   0.17 0.
 0.   0.   0.6  0.29 0.   0.   0.   0.07 0.   0.   0.64 0.   0.   0.
 0.   0.16 0.   2.57 0.66 0.   0.09 0.   0.   0.   0.   0.   0.29 1.21
 2.34 8.28 0.02 0.04 0.05 0.   0.16 0.27 0.   0.   0.   0.   0.   0.
 0.09 0.   0.   0.   0.   0.19 0.06 0.02 0.42 0.   0.   0.15 0.   0.15
 0.   0.   0.   0.   0.   0.   0.   0.25 0.13 0.03 0.02 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.09 0.   0.   0.12 0.   0.   0.
 0.22 0.01 0.   0.   0.   0.   0.   0.   0.   0.37 0.   0.   0.38 0.05
 0.   0.   0.   0.   0.   0.06 0.   0.   0.   0.25 0.13 0.   0.51 0.
 0.   0.   0.   0.   0.   0.   0.42 0.51 0.06 0.   0.   0.01 0.   0.
 0.   0.   0.   0.01 0.   0.   0.   0.12 0.02 0.01 0.   0.   0.29 0.
 0.   0.18 0.2  0.   0.01 0.43 0.   0.1  0.69 0.05 0.   0.   0.   0.
 0.   0.09 0.19 0.   0.   0.29 0.   0.   0.14 0.   0.01 0.15 0.76 0.
 0.   0.09 1.31 0.   0.   0.28 0.42 0.03 0.   0.1  0.   0.   0.   0.
 0.   0.08 0.84 0.   0.   0.   0.   0.   0.   0.06 0.   0.53 0.   0.
 0.   0.24 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.09 0.   0.
 0.   0.   0.   0.   0.02 0.   0.   0.54 0.   0.   0.   0.   0.   0.
 0.   0.26 0.   0.   0.   0.   0.36 0.   0.   0.   0.88 0.48 0.   0.
 0.09 0.   0.43 0.53 0.06 0.   0.   0.07 0.05 0.5  0.   0.   0.   0.
 0.   0.   0.   0.   0.2  0.   0.11 0.   0.   0.   0.07 0.08 0.   0.
 0.   0.   0.   1.94 0.24 0.   0.   0.   0.04 0.1  0.   0.   0.   0.05
 0.   0.   0.06 0.03 0.   0.45 0.2  0.   0.   0.   0.39 0.   0.05 0.
 0.   0.   0.   0.14 0.89 0.   0.   0.   0.   0.   0.   0.   0.83 0.
 0.   0.28 0.   0.06 0.   0.   0.01 0.   0.04 1.01 0.11 0.   0.   0.05
 0.84 0.   0.69 0.   0.01 0.   0.   0.   0.   0.12 0.04 0.14 0.   0.
 0.   0.09 0.   0.   0.   0.   1.27 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.24 0.   0.24 0.06 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.05 0.   0.   0.   0.
 0.   0.1  0.14 0.   0.   0.28 0.6  0.   0.   0.   0.04 0.1  0.   0.
 0.   0.   0.   1.1  0.   0.   0.   0.17 0.13 0.54 0.33 0.71 0.   0.
 0.   0.06 0.38 0.   0.   0.   0.   0.28 0.31 0.16 0.   0.   0.   0.
 0.   0.12 0.   0.   0.95 0.19 0.   0.05 0.   0.   0.99 0.   0.   0.
 0.   0.   0.   0.   0.   0.2  0.   0.14 0.24 0.08 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.02 0.09 0.   0.74 0.01 0.   0.
 0.   0.01 0.04 0.   0.   0.14 0.   0.   0.33 0.   0.   0.   0.   0.
 0.   0.   0.01 0.11 0.   0.6  0.   0.35 0.   0.01 0.8  0.38 0.   0.41
 0.   0.   0.   0.01 0.08 0.9  0.   0.   0.   0.   0.   1.14 1.21 0.01
 0.16 0.   0.   0.   0.12 0.   0.   0.   0.27 0.1  0.   0.   0.   0.96
 0.   0.   0.   0.11 0.06 0.1  0.   0.   0.   0.   0.06 0.29 0.01 0.25
 0.19 0.1  0.   0.36 0.02 0.11 0.09 0.   0.   1.05 0.01 0.01 0.8  0.
 0.   0.52 0.   0.   0.1  0.   0.95 0.   0.   0.01 0.01 0.   0.15 0.
 0.04 0.93 0.57 0.   0.   0.02 0.   0.27 0.03 0.   0.   0.   1.05 0.43
 0.   0.   0.24 0.02 0.   0.85 0.   0.   0.   0.   0.   0.   0.65 0.07
 0.   0.   0.   0.   0.24 0.69 0.04 0.   0.   0.   0.   0.8  0.19 0.
 0.   0.   0.   0.   0.   0.   0.04 0.02 0.08 0.   0.   0.   0.   0.
 0.   0.   0.05 0.15 1.26 0.63 0.04 0.15 0.03 0.   0.   0.1  0.69 0.
 0.02 0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.61 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.11
 0.12 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.45 4.29
 0.   0.   0.   0.   0.01 0.   0.   0.44 0.74 0.61 0.   0.   0.   0.
 0.   0.56 1.05 0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.5  0.
 0.03 0.   0.55 0.   0.08 0.1  0.04 0.   0.   0.   1.61 1.44 0.   0.03
 0.11 0.14 0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.05
 1.83 0.   0.   0.   0.38 0.   0.   1.06 1.19 0.04 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.12 0.05 0.   0.2
 0.04 0.   0.   0.   0.   0.02 0.   0.   0.   0.36 0.   0.   0.   0.
 0.02 0.02 0.   0.   0.   0.89 0.01 0.   0.   0.   0.   0.1  0.96 1.04
 0.09 0.   0.   0.   0.69 0.02 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.04 0.29 0.03 0.   0.   1.05 0.2  0.   0.   0.
 0.6  0.24 0.02 0.   0.   0.   0.   0.   1.6  0.01 0.   0.   0.   0.
 0.57 0.01 0.3  1.32 0.   0.   0.04 0.   0.   1.94 0.04 0.   0.27 0.
 0.07 0.   0.   0.   0.   0.   0.01 0.   0.   0.07 0.05 0.96 0.   0.
 0.   0.   0.   0.42 0.   0.   0.56 0.3  0.07 0.   0.   0.   0.   0.
 0.01 0.54 0.   0.   0.   0.07 0.   0.   0.   0.01 0.   0.   0.05 0.
 0.   0.   0.   1.74 0.48 0.   0.   0.07 0.18 0.01 1.4  0.   0.17 0.
 0.   0.   0.   0.   0.   0.45 0.   0.   0.   0.25 0.   0.   0.   0.
 0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.29 0.04 0.   0.   0.03
 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.26 0.   0.01 0.04 0.
 0.   0.75 0.   0.01 0.01 0.11 0.   0.   0.03 0.01 0.   0.   0.01 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.45 0.   0.74 0.03 0.
 0.47 0.04 0.   0.   0.   0.01 0.54 0.16 0.02 0.   0.   0.   0.   0.03
 0.   0.   0.   0.   0.   0.   0.   0.   0.39 0.   0.02 0.   0.   0.
 0.01 0.06 0.11 0.   0.   0.   0.   0.38 0.   0.   0.44 0.   0.   0.
 0.   0.   0.   0.19 0.14 0.1  0.   0.   0.   0.   0.01 0.   0.   0.
 0.   0.   0.06 0.   0.   0.   0.   0.   0.02 0.22 0.   0.83 0.   0.51
 0.06 0.   0.   0.   1.2  0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.35 0.02 0.02 0.   0.36 0.   0.   0.   0.67 2.44 0.03 0.38 0.
 0.   0.   0.   0.   0.   0.   0.95 0.   0.   0.   0.   0.   0.25 0.
 0.   0.   0.26 0.   0.3  0.   0.   0.   0.   0.31 0.08 0.   0.   0.
 0.   0.1  0.   0.   0.17 0.09 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.04 0.01 0.   0.   0.   0.   0.   0.   0.   0.
 0.02 0.81 0.36 0.   0.48 0.   0.01 0.   0.   0.   0.   1.5  0.   0.
 0.   0.   0.   0.   0.   1.12 0.   0.   0.   0.   0.   0.   0.   0.78
 0.1  0.   0.16 1.32 0.   0.   0.   0.   0.07 1.1  0.02 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.12 1.18 0.16 0.03 0.
 0.   0.   0.   0.   0.   0.   0.01 0.   0.09 0.   0.   0.   0.47 0.
 0.   0.   1.16 0.16 0.   0.   0.   0.06 0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.5  0.   0.   0.01 0.64 1.   0.   0.
 0.01 0.3  0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.83 0.   0.14
 0.   0.   0.07 0.   0.   0.47 0.16 0.03 0.23 0.   0.   0.   0.19 0.1
 0.   0.01 0.   0.   0.   0.   2.74 0.39 0.28 0.   0.   0.   0.   0.
 0.04 0.   0.   0.   0.   0.   0.95 0.19 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.05 0.02 0.   0.   0.   0.   0.
 0.08 0.22 0.92 0.02 0.   0.   0.   0.   0.45 0.   0.39 0.44 0.24 0.
 0.   0.01 0.2  0.29 2.52 0.06 0.   0.   0.   0.   0.   0.56 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.21 0.   0.
 0.   0.   0.   0.   0.   0.09 0.   0.19 2.33 0.   0.04 0.   0.14 1.49
 0.   0.07 0.14 0.   0.   0.1  0.04 0.   0.52 0.   0.19 0.   0.03 0.03
 0.   0.   0.   0.   0.   0.   0.35 0.   0.   0.   0.   0.   0.25 0.06
 0.   0.   0.   0.85 0.02 0.   0.47 0.   0.   0.   0.   0.1  1.2  0.05
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.47 0.   0.   0.   0.38 0.01 0.7  0.   0.15 0.12 0.   0.43 0.01
 0.01 0.   0.   0.04 0.4  0.   0.   0.01 0.02 0.01 0.08 0.   0.   0.
 0.09 0.66 0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.08 0.   0.
 0.   0.   0.   0.02 0.   0.   0.16 0.01 0.   0.46 0.   0.   0.   0.12
 0.11 0.   0.08 0.   0.   0.   0.21 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02
 0.   0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.46 1.62 0.44
 0.04 0.24 0.21 0.   0.   0.   0.   0.   0.7  0.37 0.   0.   0.01 0.
 0.9  0.41 0.   0.   0.   0.08 0.49 0.   0.   0.   0.   0.8  0.01 0.52
 0.   0.   0.   0.   0.13 0.   0.   0.   0.   0.37 0.   0.16 0.   0.
 0.   0.   0.01 0.11 0.   0.17 0.02 0.   1.14 0.   0.   0.   0.   0.02
 0.18 0.   0.   0.   0.   0.   0.04 0.57 0.71 0.   0.   0.   0.69 0.06
 0.   0.   0.25 0.02 0.   0.   0.15 1.02 0.   0.   0.27 0.   0.   0.
 0.   0.   0.   0.26 0.   0.14 0.   0.   0.84 0.01 0.   0.   0.52 0.36
 0.   0.   0.01 0.32 0.19 0.   0.03 0.   0.   0.   0.   0.45 0.   0.
 1.5  0.   0.09 0.01 0.1  0.02 0.52 0.   1.84 0.   0.   0.   0.   0.
 0.   0.15 0.25 0.   0.   0.   0.33 0.   0.   0.   0.   0.   0.   0.01
 0.   0.   0.   0.02 0.95 0.   0.   0.01 0.   0.05 1.3  0.   0.   0.
 0.03 0.09 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.06 0.03 0.   0.98 0.   0.   0.   0.   0.71 0.   0.44 0.18 0.   0.21
 0.06 0.   0.   0.   0.   0.   0.   0.   0.14 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.
 0.   0.16 0.   0.   0.03 2.6  0.   0.05 0.   0.   0.   0.05 0.01 0.1
 0.   0.   0.   0.   0.   0.   0.   0.   0.31 0.07 0.28 0.58 1.96 1.75
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.11 0.62 0.
 0.   0.14 0.07 0.   0.   0.   0.   0.   0.06 0.93 0.05 0.07 0.   0.63
 0.11 1.7  0.65 0.   0.01 0.03 0.   0.09 0.   0.02 0.   0.15 0.   0.
 0.   0.24 0.   0.   0.   0.   0.41 0.   0.   0.   0.   0.   0.   0.8
 0.   0.   0.   1.6  0.   0.39 0.   0.   0.   0.   0.   0.   0.   0.
 0.01 0.   0.   0.   0.07 0.04 0.   0.   0.06 0.06 0.75 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.01 0.32 0.   0.   0.   0.   0.11 0.28
 0.22 0.14 0.04 0.01 0.   0.   0.   0.   0.   0.07 0.03 0.05 0.   0.
 0.   0.   0.   0.   0.06 0.05 0.9  1.07 0.   0.   0.   0.   0.   0.
 0.01 0.   0.   0.   0.45 0.   0.   0.   0.   0.   0.   0.   0.   0.61
 0.03 0.   0.   0.03 0.21 0.   0.   0.   0.37 0.01 0.   0.   0.   0.
 0.   0.   0.   0.31 0.   0.   0.   0.   0.   0.   0.22 0.   0.   0.
 0.   0.6  0.35 0.01 0.   0.   0.7  0.   0.09 0.71 0.   0.11 0.13 0.
 0.   0.   0.   0.1  0.   1.18 0.   0.   0.19 2.05 0.   0.   0.   0.
 0.26 0.02 0.02 0.   0.14 0.   0.   1.11 0.   0.   0.   0.37 0.   0.
 0.   0.   0.   0.   0.   0.85 0.05 0.   0.   0.   0.   0.09 0.   0.
 0.   0.25 0.01 0.   0.21 0.06 0.   0.13 0.58 0.06 0.   0.   0.   0.
 0.   0.01 0.   0.53 0.   0.   0.   0.   1.56 0.09 0.   0.   0.   0.
 0.   0.05 0.   0.01 0.   0.   0.   0.   0.   0.65 1.45 0.   0.02 0.
 0.   0.   0.   0.   0.06 0.73 0.   0.   0.   0.   1.1  0.24 0.   0.31
 0.   0.   0.01 0.   0.   0.   1.11 0.23 0.   0.   0.   1.1  0.   0.06
 0.   0.07 0.   0.12 0.   0.   0.   0.15 0.   0.   0.04 0.   0.   0.
 0.   0.   0.   0.   0.08 0.   0.   0.05 0.09 0.   0.   0.   0.02 0.19
 1.63 0.08 0.05 0.44 0.17 0.   0.   0.06 0.5  0.   0.   0.   0.01 0.36
 0.11 0.16 0.   0.26 1.15 0.17 0.04 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.02 0.   0.   0.   0.   0.26 0.   0.   0.   0.   0.   0.
 0.   0.16 0.05 0.   0.99 0.   1.03 0.04 0.05 0.01 0.   0.   0.   0.12
 0.   0.   0.   0.31 0.06 0.   0.01 0.   0.   0.   0.   0.   0.   0.7
 0.06 0.   0.   0.   0.   0.   0.   0.18 0.   0.   0.04 0.04 0.54 0.
 0.   2.24 0.01 0.   0.   0.02 0.   0.   0.   0.47 0.02 0.   0.   0.
 0.03 0.   0.   0.   4.19 0.13 0.   0.   0.   0.   0.01 0.   0.   0.
 0.   0.13 0.   0.   0.   0.   0.   0.   1.67 0.8  0.25 0.97 0.1  0.72
 0.   0.   0.16 1.14 0.29 0.   0.45 1.3  0.   0.   0.   0.06 0.12 0.
 0.   0.   0.   0.03 0.01 0.   0.   0.   2.05 0.   0.   0.   0.   0.
 0.21 0.01 0.02 0.   0.06 0.27 0.   0.35 0.05 0.   0.   0.16 0.23 0.
 0.   0.74 0.14 0.   0.   0.   0.   0.   0.04 0.   0.   0.01 0.   0.1
 0.31 1.44 0.   0.   0.   0.   1.21 0.01 0.   0.   0.5  0.   0.   0.
 0.   0.   0.12 0.28 0.01 0.   0.   0.01 0.   0.   0.   0.   0.   0.06
 0.   0.   0.26 0.   0.31 0.   0.   0.   0.   0.   2.28 0.05 0.   0.
 0.   0.   0.   0.   0.   0.04 0.37 0.   0.   0.   0.05 0.   0.   0.
 0.   0.35 0.87 0.11 0.   0.59 0.   0.   0.   0.   0.   0.   0.04 0.68
 0.   0.   0.4  1.36 0.   0.   0.01 0.   0.   0.56 0.   0.   0.   0.
 0.   0.   0.   0.   0.01 0.2  0.   0.05 0.   0.   0.03 0.   0.   0.
 0.   1.17 0.56 0.   0.   0.   0.   0.   0.   0.   0.03 0.03 0.13 0.
 0.   0.   0.12 0.6  0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.19 0.16 0.   0.   0.16 1.   0.   0.   0.   0.   0.   0.01 0.02
 0.   0.04 0.28 0.59 0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.
 0.43 0.14 0.   0.   0.   0.09 0.   0.   0.04 0.   0.   0.   0.   0.7
 1.88 1.54 0.04 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.15 0.03 0.   0.01 0.02 0.   0.   0.   0.   0.37 0.58 0.27 0.   0.
 0.   0.   0.65 0.78 0.   0.   0.   0.03 0.44 0.   0.   0.   0.21 0.
 0.   0.   0.04 0.   0.61 0.09 0.   0.   0.74 0.   0.22 0.   0.   0.
 0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.05 0.71 0.24 1.
 0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.89 0.   0.   0.
 0.19 1.97 0.   0.   0.01 0.   0.   0.01 2.65 0.06 0.05 1.69 2.29 1.7
 0.03 0.53 0.   0.17 0.   0.15 0.   0.14 0.23 0.   0.   0.   1.1  0.
 0.   0.   0.   0.   0.   0.   0.   0.09 0.13 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.54 0.55 1.89
 1.48 0.05 0.01 0.28 0.94 0.19 0.   0.15 0.   0.   0.   0.02 0.6  0.17
 0.   0.   0.   0.04 0.23 0.   0.   0.   0.   0.3  0.02 0.   0.   0.01
 0.   0.25 0.31 0.4  0.01 0.   0.   0.   0.   0.   0.2  0.   0.   0.
 0.   0.06 0.69 0.02 0.   0.   0.11 0.   0.07 0.5  0.   0.   0.   0.
 0.1  3.65 0.03 0.02 0.   0.61 0.   0.   0.   0.   0.   1.06 0.01 0.5
 0.   0.   0.01 0.35 0.   2.15 0.94 0.   0.   0.   0.   0.08 0.   0.02
 0.   0.   0.34 0.03 0.   0.19 0.   0.   0.74 0.   0.   0.12 0.16 0.01
 0.   0.   0.   0.   0.   0.   0.23 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.11 0.   0.   0.   0.   0.03 0.01 0.   0.   0.   1.26 0.25
 0.   0.   0.   0.11 0.   0.   0.   0.   0.   0.   0.16 0.   0.03 0.33
 0.   0.   0.03 0.01 0.09 0.   0.   0.31 0.91 0.   0.   0.   0.   0.
 0.67 0.   0.   0.   0.01 0.   0.87 0.   0.   0.   0.16 0.   0.   0.
 0.35 0.23 0.16 0.1  0.   0.   0.47 0.   0.   0.   0.   0.29 0.   0.03
 0.47 0.56 0.   0.   0.   0.6  0.   0.08 1.14 0.09 0.   0.15 0.01 0.
 0.88 0.   0.04 0.2  0.01 0.   0.   0.56 0.   0.   0.14 0.07 0.33 0.
 0.   0.   0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.1
 0.25 0.22 0.1  0.   0.   0.   0.27 0.   0.   0.41 0.15 0.45 0.   0.16
 0.   0.   0.09 0.   0.23 0.3  0.08 0.16 0.   0.   0.03 0.37 0.   0.
 0.   0.   0.   0.29 0.45 0.   0.   0.01 0.   0.   0.   0.   0.17 0.06
 1.54 0.   0.   0.   0.   0.05 0.59 0.   0.96 0.   0.   0.   0.   0.
 0.   1.02 0.02 0.   0.   0.26 0.   0.   0.   0.   0.   0.   0.16 0.48
 0.01 0.02 0.   0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.71
 0.   0.   0.02 0.   0.   0.   0.   1.41 0.79 0.   0.   0.81 0.   0.
 0.   0.   0.01 0.   0.   0.02 0.   0.01 0.03 0.21 0.   0.   0.   0.
 0.   0.   0.39 0.39 0.43 0.55 0.36 0.81 0.01 0.   0.   0.05 0.78 0.
 0.   0.32 0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.   0.38
 0.23 0.09 0.01 0.42 1.17 1.62 0.   0.   0.   0.   0.   0.   0.   0.
 0.64 0.02 0.   0.   0.   0.   0.   1.55 0.   0.   0.31 0.34 0.   0.
 0.27 0.   0.   0.   0.27 0.   0.85 0.42 0.   0.15 0.   0.03 0.   0.84
 1.43 0.01 0.   0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.33 0.06 0.   0.   0.   0.01 0.3  0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.65 0.09
 0.   0.26 0.01 0.04 0.   0.   0.   0.   0.   0.   0.   0.   1.87 0.
 0.   0.   0.   0.01 0.   0.   0.   0.76 0.   0.   0.01 0.   0.   0.33
 0.46 0.   0.03 0.04 0.   0.   0.   0.   0.   1.31 0.16 0.   0.   0.
 0.   0.91 0.   0.   0.   0.   1.26 0.   0.04 1.28 0.   0.   0.03 0.12
 0.   0.03 0.42 0.   0.18 0.   0.   0.22 0.56 0.02 0.47 0.03 0.   0.
 0.   0.   0.   0.36 0.19 0.02 0.   0.31 0.29 0.12 0.   0.   0.14 0.78
 0.01 0.   0.   0.   0.09 0.43 0.   0.   0.   0.26 0.81 0.   0.   0.54
 0.28 0.   0.   0.   0.   0.   0.   0.01 0.69 0.39 0.04 0.   0.   0.
 0.   0.   0.   0.   0.07 0.   0.77 0.09 0.   0.   0.   0.   0.   0.
 0.   0.69 0.   0.   0.   0.   0.   0.   0.34 0.   0.   0.   0.2  0.29
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.56 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.21 0.56 0.   0.   0.   0.05 0.
 0.11 0.   0.   0.   0.07 0.   0.   0.87 0.02 0.   0.   0.   0.12 0.02
 0.   0.   0.39 0.   0.   0.   0.   0.   0.   0.   0.   0.27 0.56 0.01
 0.   0.   0.05 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.1
 0.15 0.15 0.   0.   0.24 0.7  0.01 0.   0.   0.   0.   0.3  0.05 0.
 0.   0.46 0.   0.   0.   0.   0.   0.66 0.01 0.   0.   0.11 0.21 0.79
 0.   0.3  0.2  0.01 0.06 0.   0.   0.   0.   0.   0.   0.02 0.03 0.
 0.   0.46 0.   0.   0.09 0.   0.   0.   0.   1.91 0.9  0.   0.02 0.
 0.11 0.   0.4  0.   0.   0.   0.   0.   1.35 0.4  0.01 0.   0.   0.
 0.   0.   0.   0.   0.17 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.34 0.   0.   0.22 0.   0.   0.   0.   0.   0.   0.   0.42 0.28
 0.   0.   0.   0.   0.35 0.   0.   0.   0.   0.   0.25 0.16 0.   0.82
 0.02 0.   0.   0.3  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.16 0.21 0.   0.   0.   0.   0.08 0.64 0.   0.
 0.   0.   0.   0.71 0.   0.   0.48 0.02 0.   0.   0.   0.   0.   0.
 0.59 0.   0.   0.55 0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.
 0.   0.   0.   0.   0.   0.64 0.68 0.   0.21 0.   0.   0.8  0.06 0.
 0.   1.02 0.   0.   0.   0.41 0.   0.   0.03 0.   0.02 0.31 1.44 0.02
 0.58 0.   0.   0.4  0.45 0.   0.   0.   0.   0.01 0.   0.   0.   0.
 0.   0.   0.   0.01 0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.07
 0.   0.   0.02 0.   0.   0.   0.   0.04 0.31 0.32 0.   0.   0.   0.
 0.   0.   0.   0.09 1.24 0.   0.   0.   0.   0.   0.   0.65 0.   0.01
 0.   0.   0.   0.   0.   0.08 0.11 0.88 0.   0.   0.   0.   0.11 0.
 0.   0.   0.41 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.13 0.02 0.   0.   0.   0.   0.4  0.37 0.   0.   0.   0.   0.   0.76
 0.17 0.01 0.   0.   0.   0.   0.   0.16 0.   0.   0.19 0.   0.06 0.06
 0.   0.   0.   0.   0.   0.91 0.   0.   0.04 0.18 0.04 0.   0.   0.64
 0.11 0.71 0.59 0.07 0.   0.   0.33 0.16 0.   0.   0.12 0.01 0.   0.
 0.   0.02 0.05 0.11 0.   0.2  0.95 0.01 0.   0.   0.   0.47 0.   0.
 0.22 0.   0.01 0.   0.   0.   0.06 0.   0.21 0.   0.09 0.01 0.   0.37
 0.28 0.   1.61 0.   0.   0.   0.   0.08 0.4  0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.5  0.07 0.   0.09 0.13 0.   0.
 0.03 0.   0.02 0.   0.45 0.36 0.   0.51 0.   0.   0.   0.78 0.02 0.45
 0.67 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.62
 0.15 0.04 0.   0.   0.   0.11 0.   0.   0.   0.   0.   0.16 0.   0.
 0.   0.   0.   0.   0.09 0.76 0.   0.   0.   0.   0.   0.   0.   0.05
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.21 0.
 0.   0.04 0.21 0.   0.   0.   0.   0.   0.   0.07 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.18
 0.11 0.   0.   0.   0.11 0.67 1.31 0.   0.   0.   0.   2.43 0.76 0.
 0.46 0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.4  0.63 0.04 0.
 0.   0.   0.   0.   0.01 0.   0.46 0.   0.   0.   0.   0.32 0.24 0.
 0.   0.   0.   0.   0.25 0.   0.   0.01 0.   0.01 0.   0.   0.   0.
 0.   0.   1.32 0.   0.   0.   0.12 0.15 0.   0.   0.08 0.02 0.   0.19
 0.   0.06 0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.32 0.02 0.   0.46 0.11 0.03 0.   0.   0.59 0.1  0.   0.11
 0.46 0.   0.   1.61 0.   0.   0.   0.56 0.16 0.01 0.   0.12 1.36 0.
 0.   0.05 0.   0.   0.41 0.06 0.   0.   0.2  0.   0.   0.01 0.   1.7
 0.   0.04 0.38 0.   0.72 0.1  0.   0.   0.   0.   0.   0.04 0.1  0.18
 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.87 0.   0.   0.05 0.   0.   0.05 1.12 0.23 0.   0.   0.   0.01 1.96
 0.15 0.   0.   0.   0.14 0.   0.61 0.   0.   0.   0.41 0.   1.09 2.02
 0.29 0.15 0.   0.   0.   0.   0.   0.   0.11 0.   0.02 0.54 0.01 0.
 0.   0.   0.   0.   0.11 0.   0.   0.   0.01 0.01 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.06 0.   0.05 0.   0.   0.22 0.   0.   0.   0.   0.02
 0.   0.   0.11 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.45 0.
 0.   0.22 0.   0.   0.01 0.   0.   0.   0.23 0.   0.   0.   0.   0.
 0.   0.09 0.   0.   0.   0.   0.23 0.   1.34 2.47 0.   0.   0.33 3.61
 0.   0.   0.   0.   0.41 0.   0.   0.12 0.01 0.   0.   0.   0.   0.6
 0.   0.   0.   0.   0.   0.   0.06 0.65 0.18 0.   0.   0.11 0.   0.
 0.01 0.04 0.   0.14 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.
 0.   0.39 0.   0.   0.   0.   0.   0.68 0.02 0.   0.   0.   0.   0.
 0.   0.   0.02 2.46 0.   0.   0.   0.85 0.87 0.   0.   0.   0.   0.
 0.02 1.44 0.02 0.   0.   0.01 0.03 0.   0.   0.   0.   0.   0.39 0.
 0.   0.   0.   0.   0.5  0.49 0.   0.   0.   0.   0.   0.65 0.   0.
 0.09 0.   1.19 0.03 0.16 0.   0.   0.   0.2  0.   0.   0.   0.   0.05
 0.34 0.67 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.07 0.   0.01
 0.11 0.07 0.09 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.11 0.02
 0.   0.   0.06 0.14 0.08 0.   0.   0.11 0.   0.02 0.   0.   0.09 0.07
 0.1  0.27 0.   0.54 0.4  0.   0.07 0.   0.   0.06 0.   0.   0.   0.
 0.67 0.   0.   0.53 0.23 0.03 0.65 0.   0.   0.44 0.2  0.09 0.   0.
 0.   0.   0.04 0.92 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.04 0.   0.11 0.   0.01 0.   0.14 0.   0.   0.   0.03 0.   0.09 0.19
 0.35 0.   0.07 0.03 0.   0.   0.29 0.   0.   0.   0.   0.   0.69 0.
 0.   0.03 0.05 0.   0.03 0.88 0.04 0.   0.   0.   0.   0.   0.   0.
 0.02 0.35 0.09 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.
 0.   0.11 0.29 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.43 0.03 0.21 0.07 0.71 0.03 0.8  0.12 0.   0.   0.67 0.   0.06 0.14
 0.   0.11 0.06 0.14 0.03 0.16 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.33 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.15 0.   0.   0.06 0.02 0.   1.25 0.   0.   0.   0.   0.   0.
 0.   0.11 0.04 0.01 0.   0.   0.   0.   0.21 0.01 0.01 0.03 0.   0.
 0.   0.   0.46 0.   0.   0.   0.   0.56 0.04 0.   0.   0.   0.   0.04
 0.   0.   0.02 0.   0.   0.43 0.   0.   0.   0.   0.08 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   1.79 0.   0.54 0.   0.   0.   0.29 0.13 0.68 0.   0.86 4.3  0.09
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.41
 0.03 0.   0.   0.   0.   1.67 0.   0.   0.47 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   1.69 0.   0.03 0.   0.   0.   0.01 1.06 0.
 0.   1.6  0.   1.12 0.   0.   0.55 0.02 0.09 0.   0.   0.   0.1  0.
 0.   0.17 0.04 0.   0.   0.35 0.   0.04 0.   0.   0.   0.   0.   0.
 0.07 0.26 0.54 0.   0.   0.   0.   0.   0.59 0.04 0.   0.14 1.52 0.
 0.   0.   0.   0.   0.   0.   0.   0.01 0.01 0.   0.04 0.14 0.11 1.25
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.75 0.   0.25 0.06 0.9
 0.04 0.   0.11 0.   0.   0.53 0.   0.05 0.08 0.   0.05 0.   0.   0.
 0.   1.95 0.   0.09 0.15 0.   0.   0.   0.16 0.   0.   0.   0.   0.17
 0.13 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.55 0.   0.   0.   0.   0.24
 0.45 0.02 0.   0.   0.02 0.33 0.03 0.28 0.22 0.   0.   0.   0.   0.
 0.   0.   0.01 0.02 0.   0.   0.09 0.   0.   0.   0.11 0.3  0.08 0.
 0.   0.   0.   1.61 0.25 0.   0.   0.   0.2  0.   0.   0.   0.   0.
 0.   0.   0.   0.04 0.   0.   0.   0.   0.27 0.   0.09 0.36 0.01 0.
 0.   0.   0.   0.   0.   0.   0.07 0.   0.   0.05 0.   0.26 0.   0.
 0.   0.14 0.   0.   0.32 0.   0.   0.   0.   0.03 1.14 0.   0.   0.
 0.   0.02 0.   0.   0.   0.84 0.12 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.17 0.   0.   0.41
 0.05 0.35 0.48 0.15 0.   0.   1.2  0.47 0.01 0.   0.   0.   0.   0.
 0.   0.09 0.   0.   0.37 0.01 0.   0.   0.24 0.82 0.02 0.   0.   0.
 0.   0.67 0.   0.   0.49 0.   0.   0.   0.   1.09 0.   0.   1.05 0.
 0.   0.05 0.02 0.85 0.02 0.   0.   0.   0.12 0.01 0.   0.   0.   0.
 0.   0.04 0.   0.   0.   0.   0.   0.   0.91 0.   0.   0.   0.   0.
 0.   0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.   0.11 0.
 0.   0.   0.   0.   0.   0.   0.21 0.   0.   0.05 0.02 0.   0.   0.
 0.   0.   0.   0.01 0.17 0.   0.   0.   1.65 1.1  0.   0.04 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.24
 0.   0.15 0.   0.   0.   0.   0.   0.01 0.   0.04 0.   0.   0.   0.9
 1.08 0.   0.   0.   0.   0.06 0.   0.   0.   0.11 0.32 1.16 0.   0.
 0.   0.   0.   0.33 0.   0.   0.   0.   0.   0.03 0.01 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.26 0.   0.   0.   0.36
 0.01 0.   0.   0.34 1.14 0.   0.   0.   0.   0.   0.   0.04 0.   0.04
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.
 0.85 0.   0.   0.   0.   0.   0.   0.   0.29 0.   0.26 0.11 0.01 2.74
 0.   0.   0.46 0.   0.   0.   0.59 0.   0.   0.02 0.   0.   0.02 0.
 0.   0.   0.   0.   0.   0.07 0.   0.   2.26 0.08 0.61 0.   0.   0.
 0.   0.14 0.   0.   0.   0.49 0.02 0.   0.   0.56 1.31 0.   0.   0.69
 0.   0.   0.05 0.18 0.01 0.   0.03 0.   0.   1.06 0.05 0.   0.08 0.17
 0.   0.   0.   0.14 0.65 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.22 0.01 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.1  0.   0.11 0.   0.   0.   0.   0.   0.   0.   0.   0.3
 0.02 0.   0.   0.   0.13 0.01 0.42 0.   0.   0.   0.   0.28 0.   0.8
 0.   0.   0.34 0.   0.   0.   0.   0.   0.   0.01 0.2  0.06 0.64 0.
 0.   0.   2.38 0.   0.   0.56 0.   0.   0.   0.31 0.   0.   1.16 0.15
 0.2  0.   0.05 0.   0.   0.   0.   0.   0.13 0.08 1.97 0.   0.   0.19
 0.   0.   0.   0.08 0.   0.   1.17 0.   0.   0.   0.   1.06 1.44 0.
 0.14 0.   0.   0.54 0.   0.   0.61 0.   0.   0.26 0.   0.   0.   0.
 0.01 0.   0.12 0.   0.   0.   0.   0.29 0.   0.14 0.   0.16 0.   0.
 0.1  0.25 0.03 0.03 0.   0.   0.   0.   0.   0.   0.14 0.   0.   0.95
 0.   1.02 0.63 0.   0.   0.   0.   0.   0.   0.   0.   0.42 0.   0.17
 0.   0.8  0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.44 0.27 0.
 0.   0.   0.04 0.01 0.   0.1  0.   0.   0.   0.16 0.   0.7  0.01 0.
 0.   0.   0.   0.   0.   0.05 0.   0.22 0.45 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.03 1.23 0.   0.   0.   0.   0.   0.19 0.03
 0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.   0.
 0.   0.55 0.47 0.19 0.   0.   0.   0.   0.   0.   0.   0.   0.26 0.
 0.03 0.   0.   0.   0.02 0.55 0.   0.   0.   0.   0.   0.12 0.15 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.45 0.21 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.05 0.   0.26 1.45
 0.02 0.   0.01 0.   0.   0.11 0.43 0.   0.   0.   0.   0.04 0.   0.
 0.   0.62 0.17 0.   0.   0.   0.   0.98 0.   0.   0.04 0.   0.   0.
 0.   0.1  0.16 0.29 0.12 0.   0.   0.   0.   0.   0.05 0.   0.01 0.
 0.41 0.   0.   0.   0.   0.02 0.   0.41 0.   0.54 0.   0.   0.   0.
 0.1  0.47 0.   0.01 0.13 0.24 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.01 0.34 0.03 0.   0.21 0.97 0.   0.   0.02 0.   0.22 0.39
 0.   0.4  0.   0.   0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.
 0.   0.01 1.1  0.02 0.   0.   0.   0.   0.   0.   0.32 0.   0.59 1.32
 0.06 0.03 0.   0.   0.   0.   0.   0.26 0.   0.   1.29 0.03 0.   0.
 0.   0.   0.4  0.34 0.05 0.   0.11 0.07 0.02 0.   0.   0.47 1.89 0.
 0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.26 0.   0.   0.   0.
 0.01 0.   0.   0.   0.02 0.04 0.   0.4  0.   0.   0.   0.   0.   0.
 0.   0.   0.06 0.54 2.29 0.83 0.   0.   0.   0.75 0.   0.04 0.06 0.94
 1.17 0.04 0.   0.03 0.11 2.21 0.09 0.   0.   0.   0.   0.   0.04 0.5
 0.   0.   0.   0.04 0.   0.19 0.01 0.   0.   0.07 0.28 0.   0.02 0.
 0.   0.   0.12 0.04 2.27 0.18 0.01 0.   0.   0.   0.   0.   0.   1.02
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.31 0.4  0.   0.06 0.   0.   0.   0.
 0.   0.01 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.32 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.14 0.21 0.   0.   0.
 0.   0.   0.   1.21 1.08 0.   0.   0.   0.   0.   0.06 0.2  0.   0.69
 0.   0.   0.   0.1  0.13 0.01 0.   0.   0.   0.   0.   0.12 0.   0.
 0.18 0.66 0.   0.08 0.   0.   0.   0.12 0.35 0.24 0.   0.   0.   0.
 0.   0.   0.45 0.   2.22 0.06 0.   0.   0.   0.   0.09 0.01 0.01 0.
 0.   0.   0.29 0.   0.   0.11 0.   0.92 0.01 0.   0.   0.   0.   0.05
 0.16 0.   0.01 0.07 0.   0.1  0.   0.   0.41 0.   0.   0.   0.   0.56
 0.   0.6  1.03 0.   0.65 0.01 0.01 0.   0.12 0.   0.47 0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.   0.04 0.11 0.   0.
 0.04 0.56 3.07 0.14 0.   0.07 0.   0.   0.05 0.   0.   0.   0.2  0.
 0.16 0.   0.   0.   0.   0.   0.   0.   0.   0.11 0.   0.   0.01 0.06
 0.   0.18 0.01 0.57 0.35 0.   0.   0.   0.   0.26 0.01 0.56 0.16 0.14
 0.   0.   0.   0.   0.24 0.   0.   0.   0.   0.1  0.   0.   0.   0.04
 0.24 0.01 0.05 0.   0.5  0.   0.   0.   0.01 1.36 0.04 0.05 0.   0.41
 0.2  0.   0.   0.   0.01 0.01 0.17 0.07 0.67 1.36 0.   0.   0.11 0.32
 0.   0.   1.14 0.22 0.   0.   0.19 0.02 0.   0.   0.59 0.58 0.   1.13
 0.1  0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.05 0.07 0.   0.01 0.   0.   0.   0.   0.26 0.   0.22 0.32 0.
 0.   0.15 0.   0.   0.17 0.   0.   0.   0.   0.   0.67 0.   0.   0.
 0.   0.25 0.   0.   0.01 2.17 0.   0.   0.   0.   0.   0.24 0.   0.
 0.02 0.   0.   0.   0.   0.14 0.19 0.   0.71 0.01 0.04 0.   0.   0.05
 1.15 0.   0.   0.11 0.   0.79 0.07 0.23 0.06 0.   0.   0.   0.   0.02
 0.63 0.   0.   0.   0.   0.31 0.01 0.   0.   0.   0.   0.   0.   0.
 0.   0.16 0.   0.   0.   0.35 0.   0.   0.   0.   0.   0.   0.   0.01
 0.26 0.   0.   0.   0.   0.   0.03 0.88 0.   0.   0.01 0.   0.   0.
 0.   0.   0.   0.   0.16 0.31 0.   0.   0.29 0.   0.   0.06 0.71 0.
 0.73 0.   0.   0.   0.   0.94 0.   1.1  0.31 0.   0.   0.   1.25 0.
 0.   0.   0.19 0.   0.   0.   0.   0.   0.   0.2  0.   0.   0.   1.38
 0.   0.   0.13 0.01 0.   0.   0.29 0.57 1.34 0.   0.   0.04 0.1  0.66
 0.   0.46 0.7  0.   0.15 0.69 0.   0.   0.01 1.04 0.   0.   0.   0.
 0.   0.   0.   0.03 0.   0.   0.   0.   0.07 0.   0.21 0.54 0.   0.64
 0.17 0.   0.   0.   0.   0.   0.   0.   0.36 0.18 0.   0.   0.   0.
 1.38 0.01 0.   0.   0.   0.   0.01 0.09 0.15 0.   0.42 0.03 0.   0.
 0.   0.   0.   0.   1.55 0.04 0.   0.   0.   0.   0.   0.11 0.01 0.
 0.12 0.16 0.15 0.09 0.2  0.3  0.   0.   0.   0.23 0.47 0.   0.   0.71
 0.   0.43 0.01 0.   0.   0.   0.   0.   0.   1.   0.03 0.   0.   0.07
 0.   0.03 0.33 0.   0.18 0.   0.   0.   0.   0.2  0.   0.   0.95 0.
 0.   0.71 0.65 0.   0.   1.25 0.31 0.   0.14 0.1  0.   0.75 0.1  0.
 0.   0.   0.   0.   0.   0.   0.   1.35 0.06 0.   0.   0.   0.04 0.
 0.   0.   0.29 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.25 0.   0.   0.   0.   0.   0.   0.   0.   0.69
 0.   0.01 0.   0.   0.06 0.02 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.02 0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.02 0.81 0.   0.   0.   0.   0.1  0.   0.
 0.02 0.35 0.14 0.   0.   0.24 0.58 0.   0.   0.   0.   0.   0.   0.14
 0.   1.8  0.   0.   0.   0.66 0.   0.   0.   0.65 0.   0.   0.   0.
 0.29 0.04 0.   0.02 0.41 0.34 0.11 0.   0.   0.01 0.   0.   0.4  0.
 0.   0.41 0.   0.   0.   0.   2.29 0.01 0.   0.   0.   0.   0.   0.
 0.02 0.   0.   0.16 0.03 0.   0.   0.   0.08 0.   0.   0.01 0.   0.
 0.   2.12 0.88 0.   0.   0.   0.   0.08 0.   0.   0.77 0.   0.   0.
 0.   0.   0.   0.   0.08 1.12 0.26 0.   0.   0.14 0.   0.62 0.   0.
 0.03 0.02 0.   0.   0.   0.   0.   0.62 0.   0.05 0.01 0.   0.   0.
 0.   0.   0.   0.   0.   0.25 0.   0.   0.   0.   0.   0.03 0.   0.
 0.   0.   0.06 0.   1.11 0.1  0.   0.72 0.07 0.   0.   0.   0.   0.
 0.   0.24 0.1  0.   0.43 0.05 0.   0.   0.   0.08 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.06 0.03 0.   0.01 0.   0.   0.
 0.   0.   0.   0.   0.37 0.   0.   0.02 0.   0.01 0.   0.36 0.   0.
 0.   0.   1.04 0.   0.   0.01 0.   0.   0.   0.   0.03 0.   0.   0.
 0.   0.   0.   0.01 0.   0.   1.46 0.58 0.   0.02 0.   0.   0.   0.
 0.01 1.22 0.16 0.   0.   0.   0.11 0.   0.   0.46 0.16 0.   0.   0.
 0.   0.   1.15 0.83 0.   0.   0.49 0.   0.   0.   0.6  1.31 0.   0.
 0.   0.22 0.03 0.   0.   0.   0.39 0.   0.16 0.2  0.   0.   0.   0.93
 0.   0.   0.   0.   0.37 0.02 0.   0.   0.04 0.   0.   0.   0.   0.67
 0.89 0.   0.   0.37 0.   0.   0.   0.   0.   0.   0.16 0.   0.   0.
 0.   0.04 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.02 0.72
 0.   0.   0.   0.   0.21 0.68 0.23 0.   0.   0.05 0.1  0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.39 0.01 0.   0.   0.   0.06 0.   0.
 0.   0.   0.2  0.   0.06 0.   0.43 0.17 2.02 0.   0.04 0.   0.   0.
 0.28 0.06 0.   0.   0.   0.   0.   0.01 0.24 0.   0.   0.   0.   0.
 1.02 0.   0.   0.03 0.   0.01 0.29 0.   0.   0.04 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.46 0.06 0.04 0.   0.   0.   0.   0.16 0.13
 0.16 0.04 0.   0.01 0.   0.   0.15 0.   0.   0.06 0.   0.   0.   0.
 0.   0.31 0.   0.   0.   0.56 1.22 0.   0.   0.   0.41 0.   0.   0.
 0.   0.   0.   0.   0.16 0.14 0.   0.   0.   0.49 0.45 0.   0.   0.67
 0.49 0.   0.   0.   0.   0.   0.   0.86 0.   1.26 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.18 0.23 0.   0.   0.   0.01 0.   0.
 0.   0.35 1.26 0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.02
 0.   0.   0.44 0.   0.   0.02 0.   0.02 0.   0.02 1.14 0.42 0.   0.
 0.   0.29 1.37 0.   0.07 0.   0.   0.   0.   0.   0.   0.15 0.05 0.
 0.   0.01 0.   0.   0.   0.   0.   0.02 0.17 0.   0.   0.   0.11 0.49
 0.37 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.09 0.
 0.   0.06 1.06 1.9  0.05 0.   0.   0.   0.   0.   0.   1.4  0.   0.
 0.   0.   0.01 0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.04 0.   0.2  0.35 0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.26 0.9  0.27 0.   0.01 0.03 0.   0.06
 0.   0.01 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.09 0.01
 0.   0.   0.14 0.23 0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.
 0.   0.   0.   0.08 0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.
 0.   0.06 0.   0.11 0.14 0.   0.   0.   0.01 0.29 2.94 0.   0.   0.02
 0.02 0.01 0.   0.   0.   0.08 1.17 0.   0.   0.05 0.27 0.3  0.   0.
 0.   0.   0.   0.   0.   1.4  0.2  0.01 0.94 0.   0.   0.   0.   0.
 0.   0.   0.   0.08 0.01 0.   0.   0.   1.81 0.97 0.01 0.01 0.6  0.58
 0.   0.   0.   0.   0.   0.06 0.19 0.02 0.   0.   0.   0.   0.   1.2
 1.3  0.03 0.01 0.16 0.   0.   0.   0.   0.46 0.   0.   0.   0.16 0.
 0.28 0.55 0.26 1.37 0.01 0.37 0.   0.   0.1  0.17 0.   0.   0.   0.
 0.44 0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.
 0.   0.   0.27 0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.31 0.
 3.07 1.26 0.01 0.01 0.04 0.   0.66 0.09 0.   0.   0.   0.   0.43 0.01
 0.   0.   0.   0.   0.   0.   0.   0.12 0.   0.26 0.17 0.07 1.1  0.
 0.   0.   0.36 0.   1.42 0.42 0.   0.   0.   0.01 0.28 0.   0.   0.
 0.   0.   0.72 0.84 0.   0.   0.   0.   2.47 0.   0.   0.   0.   0.
 0.   0.03 0.71 0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.34 0.15
 0.   0.   0.02 0.   0.3  0.16 0.01 0.04 0.   0.   0.   0.   0.   0.
 0.   0.06 0.56 0.05 0.   0.17 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.97 1.2  0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.
 0.   0.   0.   0.07 0.11 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.79 0.   0.   0.   0.   0.01 0.   0.   0.   1.13 0.01 0.
 0.   0.   0.   0.   0.37 0.   0.   0.03 0.04 1.16 0.   0.05 0.   0.
 0.   0.   0.   0.1  0.09 0.01 0.63 0.41 0.02 2.52 0.44 0.   0.   0.
 0.04 0.   0.   0.   0.   0.15 0.01 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.02 0.   0.8  0.49 0.   0.   0.   0.2  0.21 0.   0.16 0.08
 0.11 0.1  0.46 0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.7  0.   0.   0.   1.86 0.73 0.   0.   0.34 0.6  0.
 0.59 0.01 0.77 0.07 0.   1.05 0.   0.   0.69 0.79 0.   0.   0.   0.2
 0.02 0.   0.15 0.14 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.14 0.74 0.   0.07 0.   0.   0.   0.   0.   0.65 0.09 1.27 0.07 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.06 0.   0.   0.5  0.39 0.   0.   0.13 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.   0.06 0.04 0.   0.
 0.   0.   0.4  0.02 0.64 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.01 0.14 0.   0.   0.53 0.   0.65 0.06 0.   0.28 0.01 0.   0.71
 0.   1.7  0.   0.   0.17 0.19 0.47 0.   0.   1.55 0.01 0.13 0.   0.07
 0.   0.21 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.31 0.   0.06
 0.   0.56 0.43 0.26 0.01 0.   0.17 0.32 0.   0.   3.06 0.   0.   0.
 0.04 0.   0.35 0.   0.   2.25 0.   0.   0.   0.36 0.11 0.   0.   0.
 0.32 0.   0.   0.   0.86 0.   0.01 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.01 0.   0.01 0.   0.   0.17 0.   0.86 0.   0.
 0.   0.21 0.   0.   0.   0.   0.02 0.07 0.02 0.   0.02 0.   0.04 1.25
 0.95 0.1  0.57 0.   0.01 1.24 0.   0.   0.   1.55 0.   0.   0.   0.
 0.   1.61 0.28 0.   0.   0.   0.   0.1  0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.42 1.95 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.06 0.   0.09 0.17 0.51 0.02 0.   0.   0.4  0.01 0.14 0.46 0.
 0.55 0.   0.05 0.   0.   0.   0.22 0.05 0.61 0.04 0.04 1.97 0.   0.
 0.   0.   1.37 0.35 0.   0.   0.72 0.   0.   0.   0.19 0.   0.   0.
 0.06 1.3  0.   0.   0.15 0.   0.   0.   0.   1.14 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.83 0.   0.   0.01 0.19 0.   0.   0.36 0.09
 0.05 0.   0.   0.   0.   0.81 0.   0.   0.   0.65 0.   0.   0.41 0.
 0.   0.   0.15 1.   0.52 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.35 0.81 0.   0.   0.   0.   0.   0.   0.23 0.94 0.81 0.   0.2  0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.3  0.39 0.9  0.   0.   0.
 0.   0.   0.   0.45 0.01 0.   0.06 0.01 0.67 0.   0.   0.4  0.53 0.16
 0.   0.   0.16 0.   0.75 0.7  0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.19 0.   0.   0.01
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.
 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.22 0.32 0.01 0.04 0.08 2.18 0.08 1.24 0.35 0.   0.05 0.19
 0.26 0.17 0.62 0.   0.7  0.42 0.   0.   0.   0.   2.57 0.28 0.   0.53
 0.08 0.   0.   0.07 0.   0.   0.   0.   0.2  0.02 0.16 0.   0.   0.
 0.   0.97 0.   0.   0.   1.16 0.   0.   0.   0.   0.   0.   0.22 0.51
 0.   0.   0.   0.   2.   0.67 0.09 0.05 0.   0.19 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.33 0.23 0.   0.09 0.01 0.01 0.23 0.   0.01
 1.44 1.15 0.23 0.   0.   0.   0.   0.   0.49 0.   0.   0.   0.   0.
 0.08 0.   0.   0.   0.   1.63 0.77 0.02 0.   0.   0.   0.   0.   0.
 0.   0.   0.68 0.   0.   0.   0.   0.47 0.   0.   0.   0.   0.01 4.3
 7.33 0.17 0.13 0.02 0.   0.   0.   0.   0.71 0.01 0.   0.   0.   0.
 0.16 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.42
 0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.1  0.32 0.   0.
 0.   0.   0.02 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.21
 0.   0.   0.   0.   0.   0.77 0.   0.   0.   0.5  0.   0.   0.   0.
 0.   0.   1.34 0.   0.   0.   0.   0.06 0.05 0.02 0.   0.08 0.   0.
 0.   0.72 0.05 0.   0.   0.   0.   0.2  0.   0.   0.   0.   0.56 0.
 0.   0.07 0.   0.   0.   0.   0.   0.3  0.15 0.   0.   0.69 0.   0.02
 0.2  0.01 0.   0.   0.   0.   0.   0.   0.04 0.03 0.   0.   0.   0.
 0.   0.   0.1  0.04 0.   0.   0.   0.24 0.   0.19 0.97 0.   0.07 0.
 0.   0.   0.53 0.   0.27 0.   0.09 0.   0.   0.01 1.48 0.01 0.   0.
 0.11 0.   0.   0.09 0.06 0.   0.   0.43 0.   0.   0.18 0.14 0.04 0.
 0.   0.   0.   0.   0.   0.   0.66 0.55 0.   0.   0.   0.   0.   0.06
 0.08 0.34 0.   0.   0.15 0.   0.   0.   0.04 0.   0.   0.   0.   0.
 0.   0.   0.   0.06 0.33 1.1  0.72 0.   0.37 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.11 0.   0.   0.   0.   0.47 0.   0.   0.   0.06
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.61 0.63 0.13 0.09
 0.   0.   0.09 0.   0.36 0.25 0.26 0.   0.   0.   0.   0.   0.   0.
 0.36 0.   0.   0.   0.22 0.16 0.   0.   0.   0.16 0.   0.   0.4  0.47
 0.   0.   0.   0.   0.   0.25 0.33 0.61 0.   0.04 0.98 0.6  0.07 0.
 0.   0.08 0.   0.41 0.   0.   0.   0.   0.   0.39 0.01 0.23 0.   0.94
 0.01 0.   0.   0.91 0.27 0.   0.22 0.65 0.   0.   0.17 0.   1.15 0.12
 0.   0.   0.65 0.   0.   0.   0.   0.03 3.63 0.   0.05 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.01 1.99 1.85 0.   0.   0.   0.   0.22 0.   0.
 0.   0.   0.06 0.   0.   0.   0.18 0.   0.   0.04 0.   0.   0.01 0.06
 0.   0.17 0.14 0.   0.01 1.41 0.   0.   0.   0.   0.   0.   0.   0.
 1.15 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.12 0.06 0.   0.   0.4  0.11 0.14 0.   1.32 0.01 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.02 0.   0.
 0.   0.   0.   0.31 0.   0.   0.04 0.   0.01 0.   0.24 0.16 0.   0.
 0.   0.2  0.14 0.   0.   0.   0.   0.01 0.01 0.16 0.02 0.62 0.04 0.
 0.   0.   0.   0.01 0.2  0.3  0.   0.27 0.91 0.   0.   0.   0.   0.53
 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.03 0.   0.05 0.46 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.75 0.   0.   0.39
 0.   0.   0.72 0.01 0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.15 0.   0.   0.07 0.29 0.27
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.4  0.07 1.27 0.   0.
 0.19 0.5  0.05 0.19 0.   0.   0.01 0.   0.   0.   0.   0.36 1.09 0.25
 0.   0.   0.   0.   0.11 0.07 0.   0.14 0.   0.   0.   0.   0.   0.06
 0.2  0.   0.   0.   0.   0.   0.1  0.   0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.12 0.21 0.22 0.   0.   0.   0.13
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.15
 0.21 0.   0.   0.   0.47 0.31 0.   0.   0.   0.   1.14 0.   0.   0.
 0.   0.   0.   0.   0.12 0.17 1.18 0.   0.02 0.   0.   0.   0.   0.
 0.   0.09 0.22 0.   0.   0.   0.   0.   0.12 0.31 0.44 0.06 0.   0.07
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.35 0.14 0.   0.01 0.
 0.   0.01 1.12 0.11 0.   0.   0.   0.   0.   0.   0.   0.41 0.06 0.1
 0.   0.14 1.15 0.   1.24 0.18 0.   0.   0.   0.   0.   0.   0.   0.34
 0.91 0.   0.   0.   0.12 0.16 0.   0.   0.12 2.47 0.75 0.   0.   0.
 0.   0.   0.   1.73 0.01 0.   0.   0.   0.   0.05 0.47 0.   0.24 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.16 0.   0.
 0.   0.   0.   0.   0.   0.94 0.   0.   0.   0.   0.   0.   0.03 1.07
 1.26 0.   0.   0.   0.01 0.08 0.   0.   0.   0.   0.   0.   0.   0.
 0.02 0.   0.   0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.56 1.01 0.
 0.   0.05 0.66 0.   0.   0.   0.   0.   0.16 0.18 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   1.4  0.   0.13 0.   0.   0.   0.   0.
 0.79 0.   0.   0.   0.   0.85 0.79 0.   0.   0.   0.14 0.   0.   0.
 0.12 0.   0.48 0.02 0.1  0.   0.03 0.   0.   0.   0.   0.1  0.06 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.07
 0.88 0.   0.   0.   0.   0.11 0.   0.   0.   0.   0.   0.   0.75 0.
 0.   0.   0.66 0.   0.   0.   0.   0.   2.25 0.39 0.   0.   0.   0.
 0.   0.   0.01 0.   0.   0.04 1.09 0.   0.   0.   1.08 0.   0.   0.
 0.   0.   0.   0.   0.08 0.   0.   0.01 0.06 0.   0.   0.   0.   0.02
 0.01 0.04 0.   2.25 0.47 0.   0.   0.   0.   1.82 0.   0.   0.   0.
 0.   0.01 0.   1.11 0.   0.   0.   0.   0.   0.   0.17 0.   0.01 0.
 0.   0.55 0.01 0.21 0.   0.24 0.   0.11 0.01 0.   0.26 0.   0.   0.03
 0.13 0.   0.   0.   0.   0.   0.   0.   0.   2.62 1.16 0.18 0.   0.01
 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.01 0.   0.   0.   0.
 0.   0.21 0.11 0.18 0.06 0.   0.   0.   0.11 0.   0.   0.   0.   0.
 0.38 0.19 0.   0.   0.4  1.06 0.   0.   0.   0.   0.2  0.82 0.   0.
 0.   0.   0.   0.14 1.06 0.   0.   0.   0.6  0.   0.   0.   0.   0.
 0.   0.04 0.1  0.12 0.   0.   0.69 0.22 0.05 0.   0.   0.19 0.   0.
 0.   0.12 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.   0.
 0.01 0.   0.03 0.06 0.   0.   0.   0.   0.   0.   0.22 0.   0.   0.
 0.   0.   0.   0.   0.   0.68 0.59 0.   0.   0.   0.   0.   0.   0.02
 0.   0.56 0.   0.   0.   0.   0.22 0.   0.   0.2  0.   0.03 0.   0.
 0.22 0.01 0.   0.   0.97 0.1  0.   0.   0.   0.   0.   0.   0.   0.
 0.03 1.8  0.39 0.   0.   0.   0.49 0.   0.   0.   0.   0.   0.15 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.48 0.   0.   0.   0.46
 0.   0.   0.11 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.06 0.   0.   0.25 0.   0.   0.02 0.63 0.01 0.   0.
 0.   0.01 0.09 0.38 0.   0.   0.72 0.   0.02 0.   0.   0.   0.   0.
 0.   0.   0.14 1.25 0.   0.   0.04 0.36 0.   0.   0.02 0.04 0.   0.
 0.   0.96 0.01 0.32 0.13 0.   0.39 0.02 0.25 0.   0.   0.   0.   0.
 0.02 0.15 0.04 0.   0.01 0.04 0.09 0.29 0.15 0.   0.41 0.45 0.   0.
 0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.   0.   0.09 0.   0.
 0.   0.   0.77 0.   0.   0.   0.   0.05 0.29 0.   0.   0.   0.36 0.
 0.21 0.   0.33 0.   0.47 0.09 0.02 0.   0.   0.1  0.11 0.86 0.   0.
 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.17 0.17 0.   0.   0.
 0.   0.   0.   0.9  0.92 0.01 0.   0.17 0.24 0.   0.   0.   0.   0.
 0.09 0.   0.   0.   0.28 0.78 0.   0.13 0.03 0.   0.   0.06 0.09 0.
 0.   1.16 0.   1.46 0.   0.   0.29 0.45 0.3  0.   0.   0.   0.   1.18
 0.05 0.   0.14 0.05 0.   0.   0.   0.   0.   0.08 0.23 0.   0.   0.
 0.   0.11 0.73 0.06 0.   0.25 0.   0.   0.   0.   0.   0.   0.   0.
 0.45 0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.38 0.
 0.   0.75 0.51 0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.09
 0.07 0.   0.   0.   0.   0.   0.   0.   0.64 0.   0.   0.   0.   0.
 0.   0.   0.   0.07 0.   0.   0.   0.   0.   0.27 0.   0.1  0.   0.
 0.33 0.   0.   0.   0.   0.   0.   0.   0.1  0.01 0.   0.   0.   0.
 0.02 2.34 0.   0.   0.07 0.   0.   0.   0.   0.   0.22 0.02 0.17 0.25
 0.   0.   0.   0.   0.   0.99 0.   0.   0.   0.   0.   0.   0.49 0.06
 0.   0.14 0.58 2.1  0.27 0.   0.   0.   0.91 2.13 0.   0.   0.   0.
 0.39 0.11 0.   0.   1.08 0.   0.   0.   0.01 0.   0.   0.   0.   0.
 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.71 1.74 0.73 0.   0.
 0.   0.67 0.   0.   0.   1.37 0.01 0.   0.   0.1  0.   0.   0.   0.
 0.   0.   0.   0.55 0.24 0.   0.14 0.   0.   1.34 0.   0.06 0.   0.
 0.   0.   0.   0.02 0.09 0.02 0.   0.   0.   0.   0.   0.86 0.   0.
 0.   1.34 0.   0.   0.   0.   0.   0.   0.   0.   1.4  0.   0.   0.
 0.   0.   0.   0.53 0.   0.   0.   0.   0.14 0.   0.   1.29 0.   0.
 0.   0.   1.46 0.   0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.17
 0.48 0.   0.   0.11 0.   0.02 0.   0.   1.33 0.   0.   0.   0.39 0.56
 0.   0.   0.   0.   0.   0.   0.11 0.09 0.41 0.   0.   0.   2.15 0.
 0.   0.   0.02 0.   0.04 0.76 0.   0.   0.   0.09 0.04 0.   0.   0.
 0.38 0.   0.17 0.16 0.   0.   0.   0.   0.   0.16 0.   0.   0.39 0.41
 0.   0.   0.   0.3  0.   0.   0.   0.   0.01 0.21 0.   0.06 0.   0.15
 0.   0.   0.12 0.   0.   0.51 0.02 0.09 0.05 0.   0.   0.   0.34 0.
 0.   0.11 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.86
 0.   0.01 0.   0.   0.   0.02 3.82 0.07 0.   0.   0.   0.   0.   0.13
 0.26 0.   0.   0.   0.   1.21 0.25 0.81 0.   0.   0.   0.03 0.   0.
 0.   1.9  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.97 0.27 0.   0.   0.   0.   0.   0.   0.   0.03 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.
 0.   0.   0.   0.   1.47 0.   0.   0.   0.   0.   0.   0.47 0.35 0.13
 0.23 1.09 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.25 0.25
 0.3  0.   0.03 0.   0.48 0.   0.   0.   0.   0.   0.02 0.   0.   0.
 0.   1.26 0.   0.   0.05 3.24 0.13 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.74 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.7  0.47 0.   0.
 0.03 0.   0.   0.   0.   0.   0.   0.   0.2  0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.31 0.02 0.29 0.48
 0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.49 0.17 0.   0.   0.05 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.05 1.98 0.   0.   0.
 0.2  0.18 0.01 0.   0.   0.   0.11 0.41 0.   0.   0.   0.08 0.05 0.
 0.   0.   0.   0.   0.   0.12 0.   0.   0.   0.01 0.   1.5  0.01 0.
 0.   0.   0.   0.   0.   0.35 0.18 0.   0.1  0.62 0.   0.   0.   0.
 0.   0.01 0.   0.   0.   0.   0.   0.19 0.35 0.   0.   0.   0.   0.
 0.   0.06 0.   0.   0.14 0.82 0.   0.   0.   0.22 0.   0.59 0.   0.
 0.47 0.01 0.05 0.   1.35 0.82 0.   0.   0.   0.   0.   0.39 0.   0.38
 0.   0.   0.03 0.   0.15 0.   0.   0.   0.05 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 2.12 0.   0.   0.27 0.   0.17 0.   0.
 0.   0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.04 2.72 0.36
 0.   0.   0.   0.31 0.52 0.15 0.15 0.26 0.   0.   0.   0.12 0.29 0.91
 0.25 0.16 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.
 0.21 0.07 0.   0.   0.   0.   0.   0.4  0.4  0.   0.   0.   0.   0.13
 0.09 0.   0.   0.   0.   0.11 0.   0.85 0.02 0.   0.   0.   0.37 0.
 0.   0.   0.46 0.   0.   0.   0.17 0.02 0.   0.   0.   0.   0.   0.
 0.04 0.   0.31 0.67 0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.
 0.   0.   0.   0.   0.01 0.   0.   0.01 0.   0.   0.   0.   0.   0.
 1.8  0.   0.   0.   0.   0.   0.   0.31 0.   0.   0.   0.   2.37 0.
 0.04 0.   0.   0.   0.   0.   0.   0.81 0.   0.03 4.8  0.35 0.01 0.
 0.09 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.27 0.   0.   0.   0.   0.74 0.   0.   0.   0.   0.   0.
 0.02 0.   0.   0.   0.   0.32 0.   0.49 0.   0.   0.24 0.57 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.2  0.   0.
 0.12 0.   0.   0.   0.   0.   0.01 0.01 0.27 0.02 0.   0.   0.02 0.
 0.   0.   0.   0.   0.04 0.   0.01 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.   0.   0.24 0.47 0.46
 0.   0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.   0.55 0.   0.
 0.   0.   0.01 3.03 0.2  0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.34 0.16 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.24 1.18
 0.64 0.   0.   0.   0.   0.   0.   0.54 0.03 0.   0.08 0.33 0.   0.
 0.68 0.2  0.   0.   0.23 0.   0.01 0.19 0.29 0.   0.   0.   0.   0.19
 0.   0.   0.   0.   0.   0.22 0.   0.16 0.43 0.   0.   0.   0.   0.21
 0.16 0.   0.   0.18 0.39 0.   0.   0.   0.   0.   1.21 0.43 0.27 0.
 0.   0.   0.   0.16 0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.11
 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.15 0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.72 0.75 0.66 0.   0.   0.   0.   0.   1.35 1.19 0.   0.
 0.1  0.04 0.   0.   0.04 0.   0.   0.   0.   0.09 0.09 0.   0.   0.
 0.   0.04 0.   0.   0.   0.35 0.   0.04 0.35 0.   0.04 0.   0.25 0.
 0.   0.   0.   0.14 0.06 0.   0.   0.01 0.   0.74 0.21 0.15 0.   0.4
 0.46 0.29 2.18 0.   0.   0.   0.5  0.01 1.06 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.07
 0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.29 0.   0.01 0.   0.
 0.   0.   0.   0.01 0.   0.   0.   0.   0.09 0.   0.   0.   0.1  0.03
 0.   0.   0.   0.02 0.02 0.37 0.02 0.   0.   0.   0.2  0.   0.   0.
 0.13 0.   0.   0.   0.   0.   0.   0.04 0.   0.04 0.1  0.   0.   1.2
 0.02 0.06 0.   0.   0.05 0.   0.   0.09 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.   0.   0.   0.
 0.   0.16 0.   0.   0.   0.   2.51 0.   0.45 0.   0.   0.   0.   0.
 0.01 0.   0.   0.   0.   0.   2.6  0.77 0.02 0.   0.   0.01 0.   0.
 0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.
 0.47 0.   0.   0.26 0.11 0.   0.   0.   0.   0.   0.   0.21 0.04 0.
 0.   0.05 0.08 0.   0.   0.   0.   0.   0.   0.   0.26 0.01 0.   0.
 0.   1.09 0.   0.   0.   0.04 0.   0.1  0.   0.66 0.17 0.76 0.09 0.
 0.   0.   0.04 0.   0.   0.   0.   0.16 0.33 0.   0.   0.   0.   0.
 0.   0.06 0.2  0.   0.   0.   0.   0.09 0.1  0.09 0.04 0.   0.   0.09
 0.01 1.84 0.   0.21 0.18 0.09 0.03 0.   0.   0.   0.   0.24 0.04 0.
 0.14 0.   0.   0.39 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.04 0.   0.19 0.   0.   0.   0.19 0.   0.01 0.   0.04 0.53 0.
 0.   0.   0.37 0.   0.   0.   0.   0.   0.   0.07 0.98 0.   0.87 0.04
 0.   0.   0.   0.   1.31 0.39 0.   0.   0.07 0.33 0.   0.   0.   0.
 0.21 0.   0.   0.   0.   0.56 0.57 0.   0.07 0.   0.   0.   0.   0.
 0.   0.   0.03 0.08 0.   0.   0.   0.   0.   0.   0.05 0.03 0.   0.02
 0.   0.01 0.   0.   0.07 0.06 0.09 0.   0.   0.   0.   0.   0.04 0.
 0.   0.   0.   0.   0.   0.8  0.05 0.   0.01 0.   0.19 0.37 0.24 0.
 0.   1.   1.14 0.9  0.29 0.01 0.   0.16 0.   0.   0.   0.   0.   0.42
 0.   0.29 0.04 0.56 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.12
 0.   0.   0.   0.02 0.   0.   0.   0.15 0.   0.   0.48 0.   0.   0.03
 0.71 0.14 0.   0.37 0.   0.   0.   0.05 0.09 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.12 0.   0.   0.   1.52 0.   0.04
 0.26 0.   0.   0.   0.   0.   0.   1.65 0.34 0.57 0.02 0.14 0.85 3.76
 0.   0.   0.   0.   0.   0.1  0.   0.   0.01 0.   0.03 0.   0.   0.
 0.26 0.   0.   0.   0.   0.   0.08 0.36 0.   0.   0.   0.25 0.   0.
 0.61 0.   1.3  0.08 0.   0.   0.   0.54 0.63 0.   0.   0.   0.15 0.
 0.   0.   0.   0.   0.   2.45 1.27 0.02 0.48 0.24 0.49 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.47 0.   0.   0.
 0.02 0.   0.1  0.   0.38 0.52 0.   0.08 1.24 0.   0.   0.   0.   0.
 0.9  0.   0.   0.   0.41 0.   0.   0.   0.   0.21 0.51 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.03 0.54 0.59 0.   0.   0.   0.   0.02
 0.47 0.16 0.   0.   0.1  0.17 0.   0.   0.   0.27 0.   0.2  0.02 0.
 0.01 0.   0.03 0.93 0.15 0.   0.   0.35 0.   0.   0.24 0.   0.02 0.
 0.16 0.   0.   0.   0.   0.   0.   0.12 0.08 0.   0.23 0.02 0.   0.
 0.   0.   0.2  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.01 0.01 0.98 0.1  0.   0.   0.   1.43 0.   0.   0.
 0.   0.   0.   0.   0.09 0.08 0.   0.05 0.03 0.   0.   1.79 0.24 0.
 1.81 0.   0.   0.   0.   0.43 0.38 0.   0.   1.37 0.01 0.   0.   0.12
 1.3  0.   0.   0.   0.33 0.   0.   0.   0.   0.44 0.   0.   0.   0.
 0.12 0.07 0.01 0.   0.04 0.63 0.55 0.19 0.   0.   0.13 0.12 0.06 0.
 0.   0.23 0.   0.52 0.09 0.   0.   0.   0.   0.13 0.32 0.88 0.81 0.16
 0.   0.   0.03 0.02 0.   0.05 0.9  0.   0.   0.   0.   0.   0.   0.
 0.24 0.   0.   0.   0.   0.83 1.03 0.   0.   0.   0.02 0.   0.   0.5
 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.09 0.7  0.   0.   0.
 0.   0.   0.   0.   0.25 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.54 0.03 0.   0.23 0.   0.05 0.23 0.02
 0.   0.   1.24 0.   0.   0.   0.   0.   0.   0.01 0.12 0.   0.09 0.17
 0.02 0.11 0.   0.   0.   0.   0.   0.   0.   0.7  0.   0.   0.02 0.
 0.   0.   1.02 0.54 0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.07
 0.   0.02 1.01 0.27 0.12 0.   0.   0.   0.04 0.   0.   0.   0.2  0.
 0.   0.   0.4  0.15 0.   0.23 0.02 0.   0.   0.   0.   0.8  0.89 0.
 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01
 0.3  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 2.97 0.8
 0.   0.   0.   0.   0.   0.   0.   0.8  0.   0.   0.   0.   0.   2.26
 0.   0.   0.   0.01 0.   0.   0.27 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.09 0.   0.   0.   0.1  0.   0.   0.   0.17 0.   0.   0.01
 0.47 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.15 0.56
 0.   0.   0.   0.   1.1  0.   0.   0.85 0.   0.   1.69 0.   0.   0.
 0.54 0.   0.   0.   0.28 0.27 0.   0.   0.17 0.06 0.   0.   0.   0.26
 0.22 0.24 0.   0.05 0.06 0.   0.53 0.17 0.   0.   0.28 0.   0.1  0.
 0.2  0.02 0.   0.62 0.13 0.   0.01 0.   0.   0.   0.   0.22 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.4  0.   0.   0.   0.08 1.23
 0.03 0.03 0.   0.   0.   0.04 0.22 0.   0.   0.   0.37 0.33 0.   0.01
 1.01 0.18 0.   0.02 0.   0.   1.93 0.01 0.   0.   0.   0.09 1.42 0.78
 0.   0.   0.01 0.02 0.   0.   0.   0.   0.23 0.   0.   0.   0.   0.01
 1.1  0.89 0.21 0.   1.13 1.25 0.   0.   0.04 0.   0.   0.   0.03 0.
 0.   0.   0.07 1.25 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.06 0.01 0.01 0.19 0.01 0.   0.11 0.43
 1.01 0.5  0.   0.   0.06 0.56 0.   0.   0.   0.   0.03 0.   0.   0.
 0.   0.53 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 1.34 0.   0.   0.   0.   0.   0.02 0.   0.06 0.   0.   0.   0.   0.
 0.   0.67 0.   0.   0.   0.   0.41 0.   0.22 0.14 0.   0.   0.   0.
 0.31 0.   0.01 0.   0.   0.   1.16 0.   0.   0.   3.11 0.03 0.   0.
 0.5  0.   0.   0.04 0.   0.04 1.   0.   0.   0.08 0.05 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.46 0.03 0.   0.   0.   0.06 0.
 0.11 0.01 0.   0.   0.   0.   3.48 0.66 0.01 0.18 0.   0.   0.   0.
 0.02 0.27 0.   0.   0.   0.   0.73 0.38 0.07 0.27 0.93 0.   0.   0.
 0.   0.   0.   0.   0.   4.98 0.3  0.   0.   0.   0.   0.   1.12 0.
 0.   0.01 0.92 0.   0.   0.   0.   0.   0.08 0.35 1.07 0.   0.   0.
 0.64 3.3  0.19 0.   0.01 0.   0.   0.   0.   0.   0.   0.01 0.   0.
 0.   0.25 0.61 0.   0.   0.   0.   0.   0.01 0.65 0.16 0.   0.   0.06
 0.   0.   0.   0.   0.   0.   0.   0.   0.41 0.   0.   0.   0.   0.
 0.   0.   0.7  0.04 0.   0.03 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.02 0.1  1.61 0.02 0.43 0.64 0.   0.   0.   0.   0.   0.
 0.   0.21 0.98 0.17 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01
 0.24 0.18 0.   0.   0.02 0.48 0.   0.   1.07 0.4  0.   0.   0.   0.
 0.   1.51 0.   0.   0.   0.   0.   0.35 0.15 0.   0.   0.05 0.   0.
 0.29 1.59 0.   0.34 0.01 0.   0.47 0.   0.   0.   0.07 0.01 0.   0.
 0.   0.   2.95 0.16 0.   0.   0.   0.29 0.04 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.44 0.   0.   0.   0.2  0.   0.   0.   0.05
 0.   0.52 0.   0.09 0.   0.26 0.   0.   0.   0.06 0.   0.   0.36 0.
 0.   0.   0.03 0.   0.   0.55 0.16 0.   0.   0.   0.12 0.   0.02 0.
 0.   0.41 1.34 0.   0.   0.01 0.02 0.   0.   0.   0.02 0.95 0.14 0.
 0.02 0.   0.   0.54 0.26 0.01 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.3  0.   0.   0.01 0.   0.   0.   0.   0.74
 0.   0.   0.09 0.02 0.   0.   0.   0.   0.   0.   0.5  0.02 0.   0.
 0.24 0.   0.   0.08 0.   0.08 0.02 0.   0.09 0.05 0.13 0.   0.62 1.79
 0.   0.   0.   0.03 0.98 0.   0.   0.   0.04 0.   0.   0.13 0.03 0.06
 0.   0.   0.   0.   0.23 0.   0.25 0.   0.51 0.   0.15 0.5  0.15 0.
 0.   0.   0.15 0.07 0.   0.   0.   0.   0.01 0.   0.   0.37 0.01 0.01
 0.   0.   0.   0.   0.   0.   0.2  1.06 0.   0.   0.   0.   0.   0.
 0.01 0.63 0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.17
 0.11 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.06 1.9  0.15 0.   0.11 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.1  0.   0.   0.
 0.   0.   0.11 0.01 0.   0.   0.   0.   0.   1.71 0.29 0.   0.   1.07
 0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.06 0.25 1.81 0.42 0.06 0.   0.   0.   1.21 0.   0.   0.   0.
 0.   0.08 0.   0.88 0.   0.   0.03 0.   0.   0.   0.   0.44 0.   0.
 0.   0.01 0.   0.   0.   0.02 0.94 0.   0.   0.   0.   2.35 1.06 0.
 0.05 0.   0.46 1.07 0.06 0.01 0.01 0.04 0.62 0.07 0.41 0.   0.   0.04
 0.   0.   0.72 2.12 0.9  0.16 0.   0.06 0.41 0.   0.   0.   0.   0.
 0.   0.   0.02 0.51 0.06 0.   0.   0.   0.   0.   0.   0.   1.5  0.27
 0.   0.   0.   0.   0.   0.   0.   0.   1.07 0.16 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   1.13 0.05 0.   0.09 0.02 0.
 0.   0.   0.43 0.23 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.26 0.   0.   0.06 0.07 0.   0.14 0.1  0.   0.   0.02 0.37 0.11 0.
 0.   0.01 0.02 0.   0.   0.82 0.3  0.   0.   0.06 0.13 0.   0.   0.
 0.42 0.79 0.   0.18 0.   0.01 0.   0.   0.   0.03 0.   0.   0.   0.
 0.   0.   0.01 0.01 0.   0.   0.   0.17 0.   0.   0.   1.13 0.04 0.02
 0.   0.   0.15 0.   0.12 0.   0.   0.   0.04 0.23 0.   0.   1.93 0.03
 0.01 0.   0.   1.22 0.   0.   0.17 0.   0.   0.11 0.08 0.01 0.   0.
 0.01 0.07 0.   0.01 0.   0.01 0.22 0.   0.   0.   0.47 0.09 0.42 0.08
 0.   0.   0.29 0.17 0.41 3.25 0.06 0.68 0.01 0.21 0.06 0.   0.   0.35
 0.   0.   0.   0.   0.   0.   0.   0.   0.34 0.18 0.   0.   0.32 0.
 0.   0.01 0.87 0.05 0.   0.   0.   0.   0.   0.   0.01 0.02 0.   0.01
 0.   0.   0.   0.   0.   0.   0.   0.02 0.   1.46 0.   0.82 0.   0.
 0.   0.   0.04 0.   0.   0.   0.   0.67 0.21 0.   0.   0.25 0.   0.45
 0.23 0.   0.   0.   0.   0.   0.13 0.01 0.   0.   0.   0.   0.   0.03
 0.   0.   0.   0.   0.14 0.14 0.   0.   0.   0.   0.   0.   0.   0.05
 0.   0.   0.   0.05 0.12 0.   0.   0.   0.   0.35 0.17 0.   0.   0.
 0.67 0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.13 0.   0.   0.01
 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   1.66 0.14 0.   0.
 0.17 1.05 0.   0.   0.   0.   0.   0.   0.01 0.6  0.   0.   0.63 0.
 0.   0.   0.28 0.   0.   0.02 0.   0.   0.   0.   0.3  0.04 0.2  0.22
 0.   0.   0.03 0.03 0.   0.   0.   0.   0.01 0.   0.   0.   0.02 0.
 0.   0.   0.12 0.01 0.12 0.76 0.27 0.   0.   0.   0.   0.   0.03 0.
 0.02 0.35 0.67 0.   0.   0.   0.01 0.08 0.   0.06 0.   0.   0.   0.27
 2.11 0.01 0.   0.   0.   0.   0.28 0.   0.   0.   0.94 0.02 0.54 0.
 0.14 0.   0.   0.02 0.07 0.58 0.02 0.   0.02 0.01 0.   0.09 0.69 0.
 0.   0.   0.   0.   0.13 0.15 0.   0.   0.   0.05 0.   0.09 0.   0.04
 0.   0.53 0.19 0.   0.   0.   0.26 1.42 0.   0.   0.05 0.   0.   0.
 0.   0.39 0.04 0.01 0.01 0.07 0.07 0.06 0.   0.   0.   0.   0.   0.05
 0.26 0.   0.13 0.39 0.   0.   0.   0.   0.   0.03 0.01 2.66 0.3  0.
 0.   0.   0.   0.02 0.19 0.   0.   0.   0.09 0.19 0.03 0.   0.   0.
 0.   0.11 0.   0.   0.   1.51 0.19 0.02 0.   0.22 0.   0.   0.   0.
 0.32 1.27 0.   0.43 0.   0.17 0.   0.   0.   0.32 0.   0.   0.   0.
 0.   0.   0.09 0.08 0.   0.03 0.   0.   0.   0.   0.16 0.   0.   0.97
 0.02 0.   0.   0.01 0.   0.   0.3  0.24 0.24 0.04 0.   0.49 1.1  0.78
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.01 0.38 0.01 0.01
 0.04 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.
 0.   0.   0.   0.05 0.   0.   0.   0.01 0.04 0.   0.   0.   0.   0.14
 0.53 0.19 0.   0.   0.   0.   0.   0.69 0.   0.   0.85 0.06 0.   0.
 0.   0.06 0.   0.   0.   0.   0.   0.88 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.18 0.   0.   0.08 0.   0.   0.78
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.12 0.
 0.   0.   0.32 0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   1.09 0.   0.   0.   0.   0.   0.09 0.51
 0.   0.   0.   0.01 0.01 0.   0.   0.   0.58 0.   0.19 0.53 0.02 0.
 0.59 0.   0.   0.   0.   0.04 0.37 1.11 0.   0.   0.   0.   0.39 0.41
 0.   0.   0.   0.   0.   0.27 0.   0.57 0.   0.   0.   0.06 0.   0.
 0.   0.13 0.4  0.08 0.   0.   0.06 0.   0.   0.57 0.35 0.   0.   0.02
 0.   0.07 0.09 0.26 0.01 0.02 0.09 0.   0.   0.04 0.2  0.   0.   0.
 0.41 0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.05 0.09 0.   0.29
 0.25 0.35 0.   0.03 0.01 0.19 0.   0.19 0.1  0.95 0.41 0.   0.   0.57
 0.   0.   0.05 0.   0.   0.44 0.   0.   0.7  0.   0.   0.   0.1  0.
 0.05 0.29 0.   0.   0.61 0.   0.   0.   0.   0.   0.   0.   0.   0.68
 0.53 0.03 0.01 0.51 0.   0.   0.1  0.   0.   0.   0.   0.   0.   0.
 0.04 0.29 0.   0.01 0.14 0.   0.33 0.01 0.   0.   0.03 0.36 0.   0.
 0.46 1.08 0.01 0.   0.   0.01 0.   0.   0.01 0.   0.   0.   0.02 0.1
 0.   0.   0.   0.04 0.13 0.4  0.   0.   0.   0.09 1.08 0.04 0.   0.
 0.23 0.01 0.   0.   0.   0.   0.14 0.   0.   0.03 0.45 0.   0.   2.54
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.12 0.
 0.18 0.   0.   0.09 0.79 0.6  0.   0.   0.   0.   0.28 0.08 0.91 0.61
 0.   0.55 0.21 0.   0.   0.   0.01 0.   0.   0.87 0.   0.   0.   0.
 0.   0.   0.01 0.   0.   0.   0.33 0.23 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.06 0.08
 0.67 0.   0.   0.   0.   0.   0.15 0.   1.5  0.   0.   0.   0.   0.11
 0.   0.66 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.33 0.   0.08 0.   0.   0.   0.
 0.84 0.02 0.   0.01 0.32 0.   0.   0.61 0.   0.   0.   0.   0.   0.
 0.01 0.38 0.   0.   0.   2.51 0.   0.   0.47 0.   0.   1.64 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.02 0.48 0.02 0.   0.   0.   0.   0.04 0.
 0.3  1.12 0.   0.   0.   0.   0.   0.   1.54 0.   0.02 0.   0.01 0.96
 0.29 0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.17 0.   0.
 0.   0.12 0.   0.   0.   0.   0.   0.   0.   0.   0.5  0.   0.   0.
 0.06 1.   0.   0.   1.15 0.   0.   0.1  0.03 0.   0.   0.35 0.   0.
 0.01 0.09 0.08 0.16 0.   0.   0.   0.   0.   0.14 0.   0.   0.01 0.01
 0.   0.16 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.67 0.33 0.
 0.15 0.   0.   0.16 0.83 0.   0.   0.01 0.   0.   0.15 0.06 0.04 0.2
 0.   0.12 0.14 0.   0.02 0.08 0.75 0.   0.   0.   0.   0.   0.   0.
 0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.51 0.
 0.   0.   0.   0.   0.15 0.29 0.45 0.54 0.02 0.   0.   0.   0.19 0.03
 0.   0.01 1.8  0.   0.01 0.   0.   0.   0.   0.   0.1  0.55 0.42 0.
 0.24 0.06 0.   0.   0.   0.   0.   0.92 0.   0.   0.08 0.23 0.   0.
 0.   0.   0.   0.   1.86 0.   0.24 0.   0.01 0.   0.03 0.18 0.   0.52
 0.04 0.   0.   0.   0.   0.05 0.   1.95 0.   0.   0.85 0.07 0.17 0.
 0.   0.   0.   0.   0.   0.   0.   0.25 1.21 0.   0.   0.06 0.   0.
 0.   0.   0.   0.5  0.   0.   0.   0.   0.33 0.   0.   0.   0.13 0.05
 0.   0.   0.09 0.   0.   0.06 0.   0.2  0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   2.   1.   0.   0.   0.   0.1  0.3  0.   0.   0.24
 0.   0.14 0.54 0.16 0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.59 0.   0.28 0.   0.   0.   0.   0.
 0.   0.   0.18 0.   0.   0.   0.04 0.26 0.   0.   0.   0.   1.26 0.
 0.62 0.26 0.   0.   0.   0.   0.12 0.   0.   0.   0.18 0.14 0.   0.01
 0.   0.   0.07 0.06 0.   0.   0.   0.   0.07 0.   0.   0.   0.   0.
 0.   0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.35
 0.   0.   0.   0.02 0.   0.   0.   0.   0.05 0.03 0.   0.   0.   0.
 0.   0.   1.   0.57 0.03 0.01 0.   0.   0.   0.   0.   0.   0.   0.7
 0.   0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.94 0.02
 0.15 0.18 0.33 0.   0.   0.   0.   0.   0.   1.27 0.   0.67 0.   0.01
 0.   0.   0.   0.   0.   0.71 0.96 0.43 0.   0.   0.   0.   0.07 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.11 0.   0.   0.   0.   1.22
 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.
 0.   0.06 0.   0.   0.   0.   0.08 1.19 0.28 0.   0.   0.03 0.   0.
 0.14 0.06 0.65 0.   0.55 0.7  0.   0.   1.14 0.   0.   0.   0.2  0.01
 0.   0.   1.33 0.   0.01 0.   0.   0.05 0.05 0.29 0.02 0.11 0.58 0.02
 0.   0.   0.   0.   0.   0.   1.79 0.36 0.   0.   0.   0.   0.   0.
 0.   0.13 0.   0.   0.11 0.   0.   0.6  0.06 0.02 0.   0.08 1.57 0.01
 0.01 0.   0.   0.   0.   0.   0.29 0.   0.   0.   0.   0.   0.   0.74
 0.   0.   0.   0.02 0.   0.38 0.   0.26 1.09 0.   0.   0.   0.   0.
 0.   0.53 0.   0.   0.   0.23 0.08 0.37 0.45 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.03 0.09 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   1.39 0.   0.   0.   0.   0.   0.29
 1.99 0.   0.   0.   0.   0.   0.   0.   0.   0.35 0.   0.   0.   0.48
 0.   0.   0.03 0.   0.01 0.43 0.01 0.85 1.82 0.95 0.09 0.97 0.68 0.
 0.   1.37 0.18 0.19 0.   0.   0.09 1.15 0.   0.   0.   0.01 0.39 0.
 0.   0.   0.   0.   0.   0.37 0.46 0.22 0.   0.39 1.74 0.02 0.   0.
 0.   0.   0.   0.69 0.   0.06 0.   0.   0.31 0.01 0.05 0.38 0.42 0.
 0.   0.   0.   0.   0.01 0.01 0.78 0.08 0.   0.   0.01 0.   0.   0.
 0.   0.   0.   0.42 2.72 0.   0.   0.   0.   0.   0.   0.   0.25 0.15
 0.   0.   0.   0.33 0.   0.   0.07 0.   0.39 0.45 0.   0.8  0.   0.35
 0.   0.   0.   0.   0.   0.1  0.26 0.   0.   0.07 0.04 0.03 0.   0.27
 0.03 0.51 0.14 0.   0.19 0.51 0.   0.   0.   0.   0.   0.05 0.13 0.62
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.57 0.01
 0.01 0.14 0.54 0.   0.   0.   0.   0.   0.45 0.1  0.06 0.45 0.64 0.
 0.21 0.07 0.27 0.   0.01 0.05 0.   0.11 0.   0.   0.   0.   0.22 0.01
 0.   0.   0.   0.   0.12 0.   0.02 0.   0.   0.   0.   0.   0.   0.24
 0.64 0.   0.03 0.   0.   0.   0.   0.14 0.08 0.   0.21 0.02 0.03 0.13
 0.19 0.26 0.01 0.   0.09 0.   0.   0.   0.   0.   0.   0.   1.7  1.31
 1.4  0.02 0.   0.   0.2  0.   0.   0.27 0.08 0.52 0.   0.   0.   0.12
 0.   0.4  0.2  0.09 0.04 0.06 0.   0.   0.   0.   0.   0.   0.   0.
 1.81 0.34 0.   0.   0.   0.   0.   0.17 1.06 0.   0.   0.23 0.   0.
 0.5  0.14 0.   0.   0.   0.   0.   0.03 0.01 0.   0.46 0.   0.   0.08
 0.52 0.   0.18 0.08 0.   0.   0.   0.   0.   0.   0.   1.26 0.   0.
 0.49 0.18 0.   0.   0.07 1.26 0.   0.39 0.   0.   0.02 0.13 0.48 0.
 0.14 0.14 0.   0.   0.03 0.   0.   0.   0.81 0.   0.02 0.2  0.   0.37
 0.61 0.   0.   0.   0.   0.   0.   1.01 0.   0.02 0.   0.01 0.01 0.
 0.   0.   0.   0.   0.   0.   0.   0.03 1.76 0.   0.   0.14 0.   0.
 0.07 0.04 0.53 0.   0.   0.   0.46 0.05 0.   0.   0.43 0.   0.   0.57
 0.   0.   0.   0.   0.92 0.02 0.   0.26 1.99 0.   0.   0.   0.06 0.
 0.01 0.   0.   0.91 0.   0.15 0.12 0.   0.   0.19 0.22 0.   0.   0.12
 0.42 1.5  0.   0.   0.   0.   0.   0.   0.25 0.09 0.09 0.   0.   0.
 0.53 0.07 0.   0.   0.69 1.09 0.   0.04 0.2  0.35 0.2  0.18 0.   0.
 0.   0.12 0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.25 0.   0.
 0.   0.   0.   0.02 0.08 0.   0.   0.98 0.   0.75 0.   0.   0.   0.
 0.   0.   0.   0.01 0.06 0.   0.   0.   0.   0.   0.02 0.5  0.13 2.21
 0.   0.   0.   0.14 0.   0.   0.   0.   0.   0.   0.   0.06 0.   0.
 0.   0.54 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.45
 0.04 0.   0.   0.   0.77 0.   0.   0.   0.   0.13 0.02 0.   0.   0.
 0.   0.   0.   0.01 1.25 0.68 0.   0.   0.   0.   0.29 0.95 0.   0.
 0.   0.03 0.01 0.   0.   1.72 0.02 0.   0.   1.12 0.   0.   0.   0.01
 0.14 0.   0.   0.   1.21 0.01 0.01 0.   0.   0.   0.   0.   0.83 0.25
 0.   0.   0.15 0.69 0.   0.   0.   0.   0.   0.02 0.   0.   0.07 0.
 0.24 0.04 0.   0.   0.   0.01 0.   1.75 0.   0.   0.   0.   0.   0.
 0.   0.03 0.01 0.   0.   0.   0.   0.   0.   0.39 0.38 0.   0.02 0.
 0.   0.14 0.28 0.   0.   0.25 0.1  0.33 0.   0.   0.   0.   0.   0.
 0.   0.   2.68 0.   0.04 0.01 0.   0.   0.   1.17 0.39 0.   0.   0.2
 0.   0.01 0.   0.   0.   0.8  0.   0.   0.53 0.01 0.   0.   0.04 0.
 0.   0.02 0.02 0.02 0.   0.   0.3  0.38 0.   0.   0.13 0.   0.   0.42
 0.51 0.   0.   0.   0.   0.   0.   0.06 0.16 0.   0.01 0.   0.   0.
 0.48 0.   0.26 0.3  0.08 0.   0.   0.   0.63 0.   0.   0.   0.   0.
 0.38 0.3  0.06 0.   0.   1.1  0.42 0.02 0.   0.   0.   0.   0.   0.32
 1.01 0.11 0.   0.15 0.   0.   0.   0.   0.   0.16 0.11 0.   0.67 0.
 0.   0.01 0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.
 0.   0.17 0.   0.02 0.   0.   0.   0.27 0.   0.   0.   0.   0.28 0.08
 0.   0.   0.14 0.02 0.44 0.51 0.78 0.12 0.   0.   0.   0.   0.   0.
 0.   0.01 0.   0.   0.   0.03 0.01 0.58 0.   0.   0.   0.5  0.   0.03
 0.   0.   0.   0.   0.37 0.   0.08 0.27 0.01 0.01 0.   0.82 0.6  0.
 0.   0.   2.18 0.19 0.   0.   0.   0.08 0.   0.4  0.   0.   0.18 0.12
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.04 0.04 0.   0.   0.26 0.   0.   0.   0.   0.15 0.12 0.   0.   0.
 0.   0.07 0.   0.   0.   0.68 0.02 0.   0.   0.14 0.   0.   0.   0.
 1.29 0.   0.   0.24 0.   0.04 0.   0.   0.17 0.   0.   0.   0.04 0.
 0.   0.   0.   0.   0.13 0.   0.26 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.28 0.   0.   0.   0.   0.   0.   0.   0.34 0.05
 0.   0.03 0.   0.4  0.   0.07 0.88 0.   0.   0.55 0.15 0.   0.01 0.17
 0.   0.16 0.26 0.45 0.01 0.   0.   0.65 0.   0.3  0.   0.   0.   0.
 0.   0.   0.   0.19 0.   0.   0.   0.   0.   0.37 0.   0.   0.   0.
 0.33 0.37 0.   0.   0.07 0.   0.06 0.   0.   0.   0.   0.   0.15 0.01
 0.   0.   0.02 0.   0.   1.38 0.   0.   0.   0.   0.   0.   0.03 0.01
 0.   0.29 0.   0.   0.   0.   0.   0.   0.44 0.4  0.   0.   0.09 0.66
 0.   0.   0.07 0.26 0.   0.   0.04 0.   0.05 0.6  0.03 0.   0.89 0.04
 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.02 0.59 0.   0.18 0.46
 0.   0.54 0.12 0.   0.87 0.   0.   0.21 0.73 0.   0.   0.   0.   0.
 0.   0.   0.1  1.1  0.   0.   0.   0.   0.   0.   0.13 0.09 0.   0.38
 0.61 0.59 0.   0.   0.18 0.   0.   0.13 0.   0.   0.   0.14 0.   0.
 0.11 0.47 0.   0.29 0.   0.11 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.11 0.95 1.24 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.1  0.   0.04 1.   0.19 0.   0.02 0.   0.   0.   0.11
 0.   0.   0.   0.   0.   0.   0.05 0.48 0.49 0.02 0.06 1.5  0.   0.
 0.   0.   0.3  0.   0.   0.   0.01 0.   0.63 0.56 0.   0.4  0.74 0.07
 0.   0.   0.94 0.04 0.14 0.01 0.44 0.   2.13 0.01 1.21 0.08 0.54 0.
 0.   0.46 0.   0.   0.   0.   0.62 0.   0.02 0.   0.   1.49 0.   0.
 0.   0.   0.   0.55 0.04 0.   0.01 0.33 0.   0.   0.   0.29 0.08 0.
 0.16 0.   0.   0.68 0.01 0.08 0.   0.   0.05 0.   0.   0.   0.   0.
 0.   0.1  0.06 0.   0.   0.   0.   0.02 0.08 0.22 0.22 0.   0.   0.81
 0.   0.   0.   1.32 0.   0.21 0.06 0.   0.   0.   0.   1.83 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.48 0.04 0.17 0.31 0.05 0.
 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.42 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.07 0.41 0.   0.   0.15 0.   0.   0.
 0.   0.   0.   0.   0.   0.29 0.   0.   0.   0.   0.27 0.   0.   0.
 0.   0.   0.   0.1  0.   0.   0.   0.   0.   0.01 0.   0.41 0.   0.23
 0.16 0.   0.   0.07 0.1  0.   0.39 0.25 0.   0.62 0.   0.   0.   0.03
 0.   0.   0.   0.   0.   0.01 1.29 0.29 0.   0.   1.68 0.   0.58 0.24
 0.   0.   0.02 0.47 0.27 0.   0.01 0.13 0.   0.93 0.08 0.   0.   0.
 0.   0.48 0.14 0.61 0.   0.99 0.   0.   0.   0.36 0.   0.   0.   0.07
 0.   0.07 0.   0.   0.51 0.02 0.   0.   0.26 0.18 0.34 0.6  0.01 0.
 0.   0.   0.   0.   0.14 0.   0.   0.   0.   0.   0.03 0.17 0.13 0.
 0.   0.   0.   0.   0.56 0.49 0.   0.   0.11 0.   0.82 0.36 0.   0.
 1.1  0.   0.   0.06 0.   0.   0.01 0.63 0.   0.   0.02 0.   0.   0.
 0.   0.   0.   0.   0.01 0.21 0.8  0.   0.   0.11 0.   0.   0.   0.
 0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.
 0.   0.88 0.31 0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.47 0.
 0.   0.22 0.17 0.   0.   0.04 0.   0.   0.   0.   0.84 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.72 0.   0.   0.62 0.76
 0.37 0.   0.   0.   0.   0.   0.   0.16 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.36 0.   0.01 0.01 0.   0.   0.   0.37 0.12 0.
 0.21 0.   0.   0.   0.   0.05 0.   0.   0.   0.26 0.07 0.   0.   0.
 0.   0.   0.47 0.04 0.22 0.28 0.   0.   0.27 0.37 0.   0.04 0.   0.
 0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.14 0.   0.   0.02 0.
 0.   0.   0.   0.   0.   0.3  0.   0.   0.   0.   0.31 0.35 0.08 0.
 0.   0.   0.   0.02 0.01 0.   0.   0.   0.51 0.   0.   0.   0.01 0.
 0.   0.   0.   0.   0.   0.01 0.   1.5  0.26 0.33 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.
 0.   0.   0.   0.09 0.   0.   0.09 0.62 0.05 0.   0.   2.45 1.47 0.
 0.   0.   0.   0.1  0.46 0.03 0.   0.   0.   0.   0.   0.2  0.02 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.09
 1.84 0.01 0.   0.   0.04 0.   0.   0.99 0.   0.   0.   0.   1.07 0.74
 0.   0.   0.07 0.   0.12 0.   0.1  0.08 0.   0.   0.   0.   0.   0.
 0.01 0.32 0.72 0.   0.   0.   0.11 0.45 0.   0.26 0.38 0.   0.17 1.06
 0.   0.   0.   0.   0.   0.   0.   0.77 0.   0.   0.   0.   1.44 0.
 0.   0.   0.   0.   0.   0.   0.47 0.99 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   1.27 0.01 0.   0.   0.   0.12 0.   0.07 0.   0.06
 0.   0.   0.15 0.01 0.41 2.21 0.   0.   0.   0.   0.   0.04 0.   0.
 0.   0.   0.   0.   0.   0.09 0.02 0.01 0.   0.   0.   1.03 0.22 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.49 0.
 0.   0.05 0.17 0.   1.28 0.   0.   0.   0.   1.43 0.43 0.   0.04 0.
 0.   0.   0.   0.   0.   0.   0.   2.19 0.04 0.09 0.   0.23 0.   0.
 0.   0.   0.   0.   0.04 0.28 0.13 0.   0.   0.   0.   0.   0.14 1.
 1.34 0.   0.25 1.12 0.   0.   0.01 0.07 0.   0.3  0.   0.04 0.31 0.
 0.   1.02 0.   0.   0.18 0.09 0.34 0.   0.   0.   0.   0.   0.18 0.
 0.08 0.   0.46 0.   0.   0.   0.11 0.08 0.02 0.   0.   0.   0.   0.
 0.   0.47 0.   0.22 0.   0.66 0.   0.23 0.   0.27 0.   0.   0.   0.
 0.   0.   0.   0.   0.14 0.   0.25 0.   0.   0.34 0.   0.   0.   0.01
 0.   0.   0.   0.   0.06 0.   0.   0.04 0.   0.   0.   0.   0.   0.05
 0.   0.   0.   0.   0.01 0.   0.02 0.   0.31 0.   0.   2.22 0.   0.
 0.   0.   0.12 0.   0.   0.07 0.06 0.   0.   0.   0.74 2.29 0.   0.
 0.   0.   0.   0.   0.41 0.   0.   0.24 0.   0.   0.   0.47 0.   0.
 0.   0.   0.   0.   0.   0.12 0.   0.   0.   0.   0.52 0.16 0.   0.
 0.   0.   0.   0.23 1.43 0.   0.   0.   0.   0.   0.   0.   0.28 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.
 0.   1.85 0.   0.01 0.   0.   0.   0.   0.29 0.   0.   0.   0.   0.
 1.17 0.   0.   0.27 0.   0.   0.   0.   0.09 0.01 0.   0.   0.13 0.
 0.01 0.   0.   0.   0.   0.75 0.04 0.   0.   0.   0.   0.   0.   0.
 1.92 0.02 0.   0.   0.   0.   0.   0.   0.02 0.   0.22 0.02 0.   0.
 0.53 0.01 0.   0.   1.31 0.   0.   0.   0.   0.   0.   0.6  0.02 0.75
 0.   0.   0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.35 0.55 0.44
 0.   0.   0.32 0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.67
 0.   0.   1.51 0.   0.   0.   0.12 0.   0.   0.   0.   0.   0.09 0.01
 0.03 0.02 0.   0.   0.66 0.   0.57 0.   0.   0.   0.   0.   0.   0.
 0.14 0.65 0.   0.27 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.
 0.57 0.   0.   0.   0.23 0.43 0.   0.   0.   0.15 0.   0.   0.   0.
 0.   0.02 0.   0.   0.03 0.01 0.55 0.04 0.   0.   0.   0.   0.   0.
 0.   0.   0.22 0.63 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.17 1.45 0.03 0.   0.   0.   0.8  0.02 0.   0.   0.02 0.   0.
 0.   0.   0.   0.   0.18 0.   0.   0.   0.   0.08 0.   0.87 0.01 0.
 0.   0.11 0.04 0.   0.08 0.   1.19 0.   0.   0.12 0.9  0.   0.   0.05
 0.   0.03 0.32 0.   0.   0.03 0.   0.74 0.   0.   0.   0.   0.01 0.7
 0.01 0.   0.   0.   0.09 0.32 0.   0.   0.2  0.74 0.   0.39 0.   0.
 2.14 0.   0.   0.   0.   0.21 0.   0.   0.   0.6  0.   0.   0.   0.14
 0.19 0.   0.   0.   0.   0.   0.   0.58 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.5  0.85 0.   0.   0.
 0.   0.   0.01 0.07 0.22 0.59 0.02 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.02 0.03 0.   0.   0.   0.   0.58 0.32 0.47 0.   0.   0.
 0.12 0.   0.   0.   0.   0.86 0.02 0.34 0.   0.   0.   0.   0.   0.
 0.   0.57 1.08 0.   0.   0.01 0.   0.15 0.   0.   0.02 0.   0.   0.02
 0.22 0.   0.16 0.   0.   0.   0.95 0.45 0.   0.01 0.36 0.   0.   0.
 0.   0.   0.   0.   0.   0.09 0.   0.65 0.   0.   0.   0.35 0.06 1.63
 0.5  0.22 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.04 0.
 0.   0.   0.18 0.14 0.14 0.   0.01 0.01 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.04 0.15 0.   0.   0.   0.43 0.   0.   0.   0.   0.
 0.   0.   0.01 0.95 0.03 0.   0.36 0.19 0.   0.   0.   0.   0.   0.
 0.   0.   0.69 0.18 0.   0.49 1.73 0.   0.01 0.   0.   0.13 0.83 0.
 0.   0.05 0.44 0.   0.   0.   0.12 0.42 0.   0.   0.   0.13 0.   0.84
 0.   0.   0.   0.02 0.22 0.   0.   0.   0.   1.19 0.   0.   0.   0.
 0.02 0.   0.   0.   0.   0.   0.   0.   0.06 0.   0.   0.08 0.   0.
 0.41 0.   0.   0.   0.   0.66 0.   0.   0.25 0.   0.   0.   0.05 0.43
 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.76 0.12 0.   0.   0.04 0.   0.04 0.   0.   0.07 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.43 0.51 0.78 0.04 0.13 0.18 0.
 0.   0.   0.06 0.   0.   0.   0.06 0.   0.   0.   0.16 0.18 0.17 0.
 0.   0.06 0.   0.14 0.   0.   0.   0.   0.2  0.   0.24 0.07 0.   0.
 0.   0.   0.   0.   0.1  0.51 0.   0.   0.04 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.4  0.   0.   0.   0.11 0.   0.   0.13 0.17 0.78
 1.38 0.   0.86 0.   0.   0.   0.   0.03 0.31 1.64 0.   0.   0.   0.16
 0.41 0.   0.   0.02 0.   0.   0.   0.   0.01 0.   0.   0.   0.   3.34
 0.67 1.14 0.08 0.55 0.27 0.19 0.   0.   0.   0.29 0.   0.47 0.21 0.04
 0.   0.   0.   0.   0.   0.   1.4  0.   0.   0.53 2.24 0.   0.   0.13
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03
 0.   0.14 0.   0.   0.25 0.06 0.   0.   0.   0.   0.   0.   0.36 0.
 0.   0.   0.27 0.   0.   0.05 0.   0.   0.   0.68 0.23 0.02 0.93 0.
 0.   0.   0.64 0.92 0.   0.   0.   0.   0.   0.77 0.   0.01 0.   0.
 0.   0.   0.02 0.   1.18 0.22 0.   0.   0.   0.   0.   0.78 0.   0.37
 0.2  0.   0.   0.   0.   0.   0.   0.58 0.   0.   0.   0.42 0.   0.
 0.04 0.   1.03 0.   0.   0.   0.01 0.12 0.05 0.   0.07 0.   0.03 0.
 0.   0.   0.   0.02 0.   0.   0.   0.12 0.09 0.96 0.   1.35 0.01 0.
 0.1  0.02 0.   0.   0.08 0.   0.   0.   0.   0.   0.   0.05 0.   0.
 0.44 0.43 0.   0.   0.02 0.02 0.36 0.04 0.03 0.21 0.   0.   0.   0.
 0.02 0.29 0.02 0.   0.   0.   0.   0.   0.02 0.13 0.   0.   0.   0.
 0.   0.   0.08 0.19 0.   0.06 0.   0.19 1.14 0.4  0.04 0.   0.   0.
 1.02 0.19 0.   0.   0.   0.   0.   0.   0.   0.03 0.01 0.19 0.   0.
 0.   0.   0.   0.03 0.   0.   0.   0.02 0.1  0.29 0.37 0.   0.   0.
 0.   0.17 0.03 0.   0.   0.09 0.   0.   0.15 0.   0.   0.2  0.06 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.18 0.   0.   0.   0.74
 0.96 0.   0.   0.   0.03 0.52 0.   0.   0.   0.   0.   0.   0.02 0.
 0.04 0.   0.   0.3  0.47 0.   0.05 0.   0.08 0.29 0.05 0.   0.   0.34
 0.04 0.   0.   1.43 0.55 0.86 0.24 0.   0.   0.   0.   0.01 0.   0.
 0.   0.7  0.15 0.   0.   0.   0.   0.03 0.   0.   0.   0.63 0.   0.
 0.   0.   1.05 0.   0.   0.   0.09 0.   0.   0.94 0.   0.   0.   0.11
 0.   0.   0.01 0.   0.   0.09 1.7  0.   0.   0.15 0.05 0.   0.   0.31
 0.   1.08 0.04 0.5  0.02 0.   0.   0.   1.74 0.   0.   0.   0.05 0.
 0.   0.46 0.28 1.95 0.   0.   0.   0.1  0.   0.   2.6  0.76 0.   0.
 0.   0.   1.58 0.   0.   0.   0.57 0.   0.   0.   0.   0.17 0.   0.
 0.36 1.01 0.64 0.09 0.   0.   3.84 0.04 0.   0.   0.   0.   0.   0.
 0.   0.   0.03 0.   0.   0.   0.   0.   0.   0.   0.36 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.78 0.82 0.   0.
 0.   0.3  1.14 0.   0.   0.08 1.96 0.   0.   0.   0.98 1.91 0.91 0.12
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.84
 0.2  0.09 0.   0.   0.   0.04 0.   0.14 0.   0.   0.   0.   0.   1.37
 0.02 0.   0.   0.   0.   0.   0.14 0.   0.   0.18 0.3  0.01 0.   0.
 0.8  0.   1.07 0.2  0.   0.   0.41 0.   0.   0.21 0.01 0.41 0.09 0.01
 0.49 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.19
 0.   0.12 0.   0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.
 0.   0.   0.   0.04 0.02 0.   0.64 0.   0.03 0.   0.   0.64 0.18 0.
 0.   0.2  0.07 0.   0.   0.04 0.   0.   0.   0.19 0.   0.44 0.86 0.05
 0.   0.   0.   0.   1.03 0.   0.   0.06 0.66 0.   0.   0.   0.12 1.38
 0.   0.   0.   0.   0.   0.01 0.2  0.   0.   0.   0.   0.   0.   0.
 0.58 0.01 0.1  0.08 0.   0.09 0.   0.   0.   0.57 0.   0.   0.   0.13
 0.   0.   0.   0.   0.   0.   0.05 1.02 0.   0.   0.   0.   0.   0.
 0.   0.   0.13 0.   0.   0.3  0.18 0.   0.12 0.   0.   0.   0.   0.
 0.   0.37 1.2  1.03 0.12 0.01 0.   0.46 0.87 0.04 0.   0.02 0.   0.
 0.   0.   0.   0.03 0.   0.34 0.   0.14 0.   0.   0.   0.   0.   0.
 0.85 0.03 0.1  0.   0.   0.   0.   0.   0.21 0.2  0.   0.   0.15 0.
 0.   0.04 0.   0.72 0.36 1.03 0.   0.   1.01 0.02 0.   0.   0.   0.35
 0.   0.   0.   0.34 1.16 0.   0.1  0.25 0.04 0.62 0.   0.   0.   0.
 1.   0.   0.   0.   0.   0.08 1.18 1.69 0.   0.   0.   1.06 0.01 1.27
 0.81 0.17 0.   0.   0.   0.   0.   0.82 0.   0.52 0.03 0.   0.   0.42
 0.34 0.49 0.   0.   0.   0.16 0.   0.   0.   0.   0.35 0.02 0.   0.
 1.2  0.14 0.   0.   0.   0.   0.   0.65 0.05 0.   0.   0.   0.54 0.2
 0.   0.1  0.65 0.3  0.   0.   0.21 0.   0.   0.   0.91 0.   0.   0.43
 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.01 0.   1.29 0.41
 0.   0.   0.   0.   0.17 0.   0.   0.   0.05 0.38 0.   0.   0.   0.
 0.11 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.65
 0.68 0.   0.   0.   0.1  0.   0.   0.   0.   0.02 0.   0.   0.   0.
 0.05 0.36 0.37 0.   0.   0.   0.23 0.   0.   0.   0.05 0.   0.   0.
 0.   0.   0.03 0.17 0.   0.04 0.05 0.   0.   0.   0.   0.   0.   0.
 1.11 0.   0.   0.01 0.   0.18 0.   0.   0.2  0.   0.   0.   0.   0.
 0.   0.   0.   0.22 0.21 0.   0.   0.   0.   0.   0.   0.   0.   0.1
 0.06 0.   0.   0.   0.59 0.   0.   0.   0.44 0.78 0.   0.   0.   0.51
 0.   0.   0.03 0.   0.03 0.   0.2  0.   0.   0.   0.   0.07 0.12 0.
 0.53 0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.   0.35 1.7
 0.   0.13 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.11 0.72
 0.   0.   0.   0.   1.87 0.   0.19 0.   0.55 0.   0.37 0.85 0.12 0.
 0.   0.   0.   0.   0.   0.11 0.33 0.01 0.02 0.   0.   0.   0.   0.
 0.08 1.6  0.   0.03 0.04 0.   0.01 0.   0.11 0.   0.01 0.   0.   0.27
 0.45 0.14 0.   0.   0.   0.3  0.   0.98 0.   0.   0.19 1.1  0.22 0.
 0.   0.05 0.39 0.26 0.   0.   0.33 0.21 0.   0.95 0.   0.   0.03 0.26
 0.03 0.   0.03 0.56 0.01 0.   0.   0.   0.   0.54 0.   0.15 0.02 0.
 0.   0.16 0.81 0.15 0.42 0.   0.   0.79 0.   0.   0.   0.   0.05 0.
 0.   0.   0.   0.   0.   0.02 0.   0.   0.47 0.   0.   0.   0.   0.
 0.3  0.   0.   0.   0.   0.02 0.09 0.   0.   0.   0.   0.21 0.   0.
 0.79 0.   0.   0.11 0.   0.   0.   0.47 0.   0.   0.03 0.38 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.14 0.   0.   0.   0.   0.   0.01
 0.   0.   0.   0.07 0.   0.   0.1  0.   0.29 0.   0.   0.   0.   0.
 0.   0.01 0.   0.   0.   0.06 0.02 0.   0.   0.   0.89 0.   0.   0.
 0.   0.   0.   0.   0.07 0.   0.   0.03 0.   0.   0.   0.   0.   0.24
 0.25 0.63 0.28 0.78 0.   0.   0.   0.02 0.33 0.   0.   0.4  0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.19 0.36 2.16 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.45 0.06 0.
 0.   0.   0.   0.   1.35 0.   0.   0.   0.   0.   0.   0.   0.11 0.14
 0.   0.01 0.74 0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.17 0.05
 0.17 0.   0.38 0.54 0.   0.   0.02 0.   0.   0.05 0.   0.   0.   0.02
 0.   0.   0.   0.48 0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.22
 0.4  0.   0.   0.   0.05 1.06 0.3  0.   0.   0.   0.33 0.   0.   0.
 0.   0.06 0.42 0.   0.   0.   0.   0.17 0.   0.   0.   0.   0.   0.
 0.   0.   0.38 0.   0.62 0.02 0.   0.   0.81 0.   0.   0.   0.03 0.
 0.   0.   0.   0.24 0.03 0.   0.07 0.   0.   0.   0.   0.75 0.18 0.
 0.01 0.   0.   0.   0.   0.   1.24 0.05 0.27 0.03 0.   0.   0.   0.
 0.   0.   0.02 0.   0.04 0.65 0.   0.   0.   0.08 0.   0.   0.   0.
 0.2  1.14 0.   0.   0.12 0.   0.   0.   0.   0.   0.   0.05 0.13 0.
 0.   0.   0.   0.   0.5  0.   0.01 0.   0.   0.   0.   0.   0.01 0.
 0.   0.   0.6  0.55 0.   0.   0.   0.   0.   0.13 0.   0.01 0.36 0.24
 0.16 0.03 0.   0.05 0.16 0.   0.   0.   0.   0.   0.   0.   0.   0.2
 0.22 0.   0.   0.   0.   0.   0.13 0.   0.   0.   0.   0.   0.84 0.25
 0.   0.   0.   0.5  0.   0.04 0.   0.   0.03 0.75 0.   0.   0.47 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.26 0.6  0.63 0.   0.
 0.   0.   0.   0.   0.22 0.2  0.   0.   0.   0.   0.   0.01 0.   0.96
 0.02 0.   0.   0.   0.33 0.   2.8  0.   0.   0.19 0.   0.   0.2  0.08
 0.   0.   0.   0.2  0.   0.   0.   0.   0.   0.   0.   0.59 0.   0.82
 0.   0.   0.   0.   1.4  0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.04 0.7  0.5  0.02 0.   0.   0.01 0.
 0.01 3.03 0.01 0.   0.   0.   0.   0.   0.   0.   0.01 0.14 0.   0.
 0.   0.01 0.14 0.05 0.   0.   0.   0.   0.19 0.56 0.   0.22 0.03 0.
 0.   0.   0.   0.   0.   0.   0.11 0.   0.   0.   0.   0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.07 0.57 0.
 0.21 0.01 0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.02 0.33 0.
 0.48 0.   0.   0.   1.12 0.31 0.   0.   0.   0.   0.   0.   0.   0.
 0.16 1.86 0.74 0.85 0.37 0.   0.   0.   0.   0.   0.01 0.01 0.   0.
 0.   0.   0.19 0.11 0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.05
 0.04 0.   0.   0.   0.   0.   0.   0.09 0.01 0.   0.   0.31 0.07 0.
 0.63 1.39 0.   0.   0.01 0.   0.   0.   0.   0.   0.93 0.06 0.   0.
 0.   0.   0.   0.64 0.   0.   0.   0.   0.   0.   0.9  0.   0.   0.
 0.   0.02 0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.
 0.   0.32 0.19 0.92 0.04 0.   0.   0.   0.08 0.   0.   0.96 0.12 0.06
 0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.22 0.   0.   0.36 0.01
 0.   0.   1.62 0.01 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.26
 0.11 0.   0.   0.   0.01 0.26 0.02 0.   0.63 1.31 0.   0.   0.85 0.01
 0.   0.08 0.   0.2  0.44 0.05 0.   0.   0.03 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.02 1.57 0.   0.03 0.51 0.   0.   0.   0.
 0.   0.1  0.   0.   0.   0.01 0.43 0.98 0.   0.4  0.04 0.14 0.22 0.08
 0.   0.   0.   0.   0.   0.   0.2  0.01 0.93 0.   0.02 0.   0.   0.
 0.   0.   0.82 0.16 0.   0.   0.   0.15 0.   1.01 0.29 0.39 0.65 0.01
 0.   0.   0.   0.   0.85 0.08 0.   0.   0.   0.   0.   0.17 0.   0.
 0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.   0.42 0.22 0.   0.1
 0.34 0.01 0.   0.   0.   0.   0.   0.08 0.55 0.   0.   0.79 0.   0.27
 0.06 0.   0.   0.   0.26 0.17 0.02 0.   0.   0.   0.21 0.   0.   0.
 0.   0.   0.15 0.56 1.54 0.05 0.   0.   0.08 0.   0.   0.   0.39 0.
 0.   0.   0.02 0.04 0.   0.   0.05 0.05 0.05 0.05 0.   0.   0.48 0.19
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.49
 0.   0.   0.01 0.   0.01 0.   0.   0.   0.28 0.   0.01 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.49 0.   0.   0.   0.   0.   0.02 0.84
 0.36 0.04 0.   0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.01 0.73
 0.27 0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.01 0.   0.   0.   0.05 0.01 0.   0.   0.   0.   0.   0.
 0.19 0.09 0.   0.24 0.   0.   0.   0.81 0.   0.   0.   0.   0.84 0.
 0.02 0.   0.13 0.06 0.   0.   0.   0.   0.   0.09 0.   0.42 0.05 0.02
 0.   0.   0.   0.   0.   0.   0.   0.55 0.62 0.   0.   0.   1.33 0.14
 0.22 0.51 0.15 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.19
 0.   0.26 0.   0.   0.02 0.3  0.   0.1  0.04 0.   0.   0.21 0.   0.79
 0.03 0.   0.   0.03 0.   0.26 0.99 0.14 0.   0.   0.   0.   0.15 0.01
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.03 0.   0.   0.
 0.   0.   1.26 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.53
 0.   0.   0.   0.04 0.58 0.   0.   0.   0.11 0.55 2.38 0.   0.   0.35
 0.01 0.   0.   0.   0.   0.   0.   0.01 0.12 0.81 0.46 0.59 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.34 0.   0.
 0.   0.   0.47 0.   0.   0.   0.   0.02 0.5  0.15 0.   0.   0.   0.22
 0.01 0.   0.   0.   0.   0.   0.   0.   1.07 0.   0.   0.   0.   0.
 0.44 0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.88 0.06 0.23 0.   0.31 0.01 0.   0.   0.   0.   0.76 0.
 0.   0.   0.   2.11 0.   0.   0.   0.12 0.   0.   0.31 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.
 0.15 0.   0.   0.   0.   0.4  0.   0.41 0.   0.02 0.   0.   0.47 0.
 0.   1.33 0.   0.   0.   0.37 0.05 0.   0.   0.   0.   0.   0.   0.39
 0.   0.   0.   0.   0.   0.   0.   0.   0.59 0.   0.   0.   0.   0.
 0.02 0.   0.04 0.01 0.14 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.68 0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.05 0.27 0.
 0.   0.   0.   0.   0.   0.21 1.39 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.03 1.15 2.09 0.01 0.   0.   0.   0.01 0.   0.   0.   0.69
 0.   0.   0.   0.   1.21 0.   0.   0.   0.   0.13 1.7  0.02 0.78 1.28
 0.   0.   0.   0.   0.   0.02 0.04 0.02 1.95 0.   0.   0.   0.   0.
 0.   0.23 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.
 0.   0.14 0.14 0.37 0.17 0.   0.   0.   0.57 0.06 0.   0.   0.   0.04
 0.02 0.   0.13 0.   0.6  0.18 0.   0.03 0.03 0.   0.   0.   0.   0.01
 0.   0.   0.   0.82 0.   0.   0.03 0.   0.   0.   0.   0.   0.   0.21
 0.   0.   0.38 0.   0.   0.02 0.31 0.   0.   0.   0.   0.   0.14 0.
 0.   0.15 0.09 0.   0.44 0.16 0.   0.   0.89 0.   0.   0.08 0.08 0.
 0.   0.   0.   0.86 0.   0.   0.   0.   0.2  0.   0.   0.   0.   0.25
 0.   0.   0.   0.   1.48 0.14 0.   0.   0.   0.   0.6  0.14 0.23 0.
 0.   0.05 0.91 0.83 0.71 0.   0.02 0.   0.18 0.3  0.   0.05 0.   0.
 0.19 0.05 0.01 0.24 0.68 0.   0.58 0.2  0.   0.   0.03 0.01 2.12 0.
 0.   0.   0.19 0.88 0.19 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.83 0.   0.   0.96 0.   0.   0.03 0.5  0.
 0.   0.   0.07 0.   0.3  0.   0.   0.   0.35 0.   0.   0.   0.11 0.
 0.   0.52 0.21 0.06 0.35 0.91 0.   0.   0.14 0.   0.87 0.07 0.47 0.
 0.   0.18 0.   0.23 0.15 0.   0.   0.02 0.45 0.   0.   0.   0.   0.
 0.   0.   0.   0.02 0.   0.   0.   0.07 2.17 0.07 0.49 0.01 0.02 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.93 0.   0.   0.   0.01
 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.03 0.6
 0.25 0.   0.   0.   0.65 0.   0.28 0.23 0.   0.22 0.43 0.   0.   0.06
 0.22 0.01 0.   2.22 1.06 2.23 0.14 0.   0.   0.   0.02 0.2  0.   0.
 0.   0.   0.33 1.61 0.   0.   0.   0.   0.62 0.   0.   0.   0.03 2.84
 4.16 0.22 0.02 0.   0.   0.   0.03 0.   0.05 0.   0.   0.02 0.02 0.02
 0.12 0.   0.23 0.   0.   0.   0.64 0.   0.   0.   0.   0.   0.   0.
 0.27 0.   0.   0.   0.85 0.   0.   0.   0.   0.   0.   0.5  0.   0.
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.33 0.   0.   0.
 0.   0.04 0.   0.08 0.   0.   0.   0.   0.14 0.   0.   0.   0.04 0.
 0.   0.   0.17 0.   0.   0.   0.   0.   0.   0.07 0.49 0.   0.13 0.
 0.   0.03 0.   0.08 0.   0.24 0.02 0.18 0.15 0.23 0.   0.   0.79 0.
 0.   0.   0.   0.   1.04 0.   0.   0.   0.   0.   0.   0.   0.   0.
 1.14 0.05 0.71 0.11 0.   0.   0.   0.   0.45 0.   0.   0.   0.   0.
 0.   0.   0.   0.06 0.74 0.   0.   0.   0.   0.15 0.01 0.   0.   0.9
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.
 0.   0.   0.   0.57 0.37 0.   0.08 0.01 0.   0.36 0.62 0.   0.   0.
 0.04 0.27 0.18 0.16 0.   0.   0.14 0.   0.42 0.1  0.   0.   0.06 0.
 0.   0.   0.09 0.   0.   0.   0.   0.   0.08 0.   0.16 0.01 0.56 0.
 0.   2.2  0.06 0.   0.01 0.11 0.   0.04 0.36 0.   0.   0.   0.97 0.14
 0.   0.28 0.   0.79 0.02 0.   0.05 0.18 0.   0.   0.01 0.24 0.08 0.
 0.11 0.   0.   0.   0.   0.62 1.56 0.04 0.   0.   0.   0.   0.   0.19
 0.   0.   0.   0.07 0.46 0.   0.   0.   0.28 0.07 0.   1.14 0.   0.02
 0.57 0.06 0.   0.   0.11 0.   0.   0.   0.   0.   0.01 0.   0.   0.
 0.   0.1  0.02 0.   1.2  0.   0.   0.   0.   0.   0.11 1.93 0.   0.
 0.12 0.1  0.   0.   0.   0.09 0.   0.   0.   0.   0.   0.41 0.01 0.
 0.   0.83 0.12 0.   0.   0.   0.   0.   0.   0.15 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.65 0.   0.   1.61 0.   0.46 0.   0.   0.14
 0.03 0.   0.   0.   0.   0.   0.   0.   0.06 0.91 0.03 0.   0.16 1.16
 0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.   0.18 0.   0.
 0.   0.   0.   0.39 0.3  0.   0.12 0.62 4.86 0.   0.   0.   0.   0.
 0.34 0.27 0.6  1.41 0.   0.   0.   0.   1.54 0.   0.   0.   0.   0.
 0.   0.78 0.73 0.   0.   0.   0.   0.21 1.72 0.   0.   0.   0.   0.02
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.2  0.01 0.   0.
 0.47 0.06 0.   0.   0.   0.   0.1  0.   0.   0.42 0.   0.56 0.   0.
 0.   0.09 0.08 0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.04 0.
 0.13 0.12 0.   0.01 0.   0.06 0.1  0.44 0.11 0.   0.1  0.36 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   1.19 0.
 0.   0.03 0.   0.   0.   0.56 0.   0.   0.26 0.   0.   1.09 0.   0.
 0.   0.   0.   0.   0.   0.04 0.15 0.   0.   0.04 0.   0.   0.   0.47
 0.   0.   0.49 0.08 0.53 0.96 0.03 0.   0.03 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.08 0.   0.   0.07 0.08 0.   0.   0.   0.   1.53
 0.   0.   0.39 0.   0.   0.   0.   0.11 0.14 0.   0.   0.55 0.22 0.
 0.   0.   0.   0.   0.   0.   0.27 0.03 0.   0.03 0.19 0.47 0.09 0.
 0.   0.   0.   0.   0.27 0.   0.33 0.   0.   0.   0.   0.   0.   0.8
 0.   0.   0.   0.   0.   0.   0.   0.07 0.03 0.   0.12 0.46 0.01 0.06
 0.21 0.13 0.   0.05 0.01 0.   0.   0.   0.   0.   0.01 0.   0.   0.
 0.   0.   0.   0.04 0.33 0.   0.01 0.02 0.   0.18 0.16 0.46 0.   0.
 0.   0.   0.   0.   0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.14 0.   0.03 0.   0.   0.   0.22 0.   0.3
 0.   0.51 0.34 0.   0.   0.   0.02 0.   0.3  0.   0.28 0.73 0.67 0.05
 0.   0.08 0.   0.   0.   0.   0.48 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   1.03 0.54 0.   0.2  0.08 0.   0.   0.03 0.   0.
 0.63 1.08 0.   0.26 0.25 0.29 0.85 0.   0.   0.   0.   0.   0.   0.
 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.39 0.   0.25 0.38 0.
 0.   0.   0.   0.   0.   0.02 0.2  0.   0.   0.   0.   0.01 0.   0.
 0.13 0.   0.   0.   0.53 1.23 0.68 1.6  0.   0.   0.15 0.   0.   0.
 0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.07 0.   0.   0.07 0.   0.   0.   0.01 0.4  0.24 0.   0.   0.
 0.13 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.06 0.
 0.   0.   0.   0.   0.   0.75 0.55 0.04 0.   0.   0.   0.   0.   0.23
 0.01 0.   0.   0.02 0.17 0.11 0.   0.   0.   1.05 0.04 0.   0.02 0.
 0.   0.03 0.16 0.   0.   0.   1.15 0.23 0.   0.01 0.   0.01 0.   0.
 0.   0.   0.05 0.13 0.02 0.   0.   0.   0.   0.5  0.02 0.   0.   0.
 0.03 0.   0.   0.03 0.   0.05 0.1  0.   0.   0.15 0.14 0.   0.   0.71
 1.41 0.   0.   0.25 0.   0.   1.42 0.   0.   0.08 0.08 0.   0.83 0.
 0.01 0.32 2.39 0.   0.   0.   0.   0.   0.   0.   0.04 0.   0.   0.
 0.   0.   0.   0.03 0.3  0.   0.   0.02 0.   0.49 0.   0.   0.   0.3
 0.88 0.01 0.1  0.07 0.39 0.   0.   0.   0.   0.   0.   0.   0.02 0.07
 0.   0.   0.   0.05 0.04 0.   0.1  0.   0.   0.   0.   0.02 1.51 0.49
 0.02 0.   0.   0.   0.03 1.39 0.21 0.26 0.45 0.01 0.02 0.04 0.   0.
 0.61 0.2  0.   0.   0.   0.05 0.16 0.17 0.   0.44 1.25 0.05 0.   0.33
 0.16 0.18 0.09 0.2  0.   0.03 0.1  0.   0.   0.   0.   0.09 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.47 0.28 0.   0.   0.03
 0.   0.   0.   0.   0.   1.63 0.07 0.   0.   0.   0.   0.21 0.   0.
 0.   0.   0.   0.   0.   0.28 0.   0.   0.   0.   0.   0.   0.07 0.
 0.   0.   0.   0.   0.   0.   0.42 0.   1.49 0.32 0.04 0.   0.   0.8
 0.   0.   0.86 0.   0.01 0.26 0.   0.   0.   0.22 0.   0.13 0.   0.
 0.   0.   0.11 0.   0.   0.   0.   0.   0.01 0.   0.   0.49 0.   0.
 0.   0.63 0.   0.39 0.   0.   0.   0.26 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   1.56 0.   0.   0.   0.04 0.   0.   0.14
 0.   0.14 0.03 0.29 0.   0.   0.   0.01 0.07 1.01 0.4  0.02 0.05 0.
 0.   0.23 0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.06 0.   0.   3.92 0.03 0.09 0.   0.   0.   0.07
 0.   0.   0.   0.   0.29 0.34 1.04 0.   0.   0.   0.   0.   0.04 0.1
 0.17 0.22 0.   0.   0.   0.02 0.   0.02 2.28 0.   0.   0.   0.   0.
 0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.01 0.   0.06 0.17
 0.   0.02 0.4  0.   0.   0.   0.   0.   0.   0.12 0.   0.   0.   0.
 0.   0.   0.   0.   0.3  0.06 0.   0.   0.   0.   0.   0.   1.46 0.01
 0.   0.   0.75 0.31 0.   0.   0.58 0.83 0.06 0.   0.   0.   0.47 0.43
 0.   0.73 1.35 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.07 0.48
 0.   0.3  0.49 0.   0.   0.   0.63 0.   0.   0.52 0.   0.   0.   0.
 0.47 0.   0.78 0.17 0.   0.73 0.01 0.24 0.11 0.31 0.24 0.   0.   0.
 0.   0.   0.97 0.   0.   0.   0.   0.2  0.   0.   0.   0.04 0.01 0.
 0.   0.   0.68 0.   0.   0.   0.   0.   0.   0.29 1.14 0.   0.   0.12
 0.   0.   0.   0.   0.   0.   0.01 0.   0.04 0.   0.21 0.02 0.   0.02
 0.   0.04 0.19 1.2  0.07 0.   0.02 0.   0.71 0.1  0.   0.   0.   0.27
 0.   0.   0.   0.   0.   0.   0.   0.14 0.   0.   0.1  1.02 0.   0.1
 0.32 0.   0.   0.   0.   0.07 0.   0.   0.   0.11 0.02 0.   1.2  0.68
 0.   0.   0.   0.   1.11 0.22 0.   0.   0.   0.   0.   0.   0.   0.63
 0.   0.   0.06 0.   0.   0.   0.58 1.39 0.03 0.   0.07 0.   0.08 0.
 0.   0.   0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.12
 0.   0.   0.38 0.   0.02 0.   0.14 0.25 0.   0.   0.71 0.   0.   0.21
 0.11 0.   0.   1.18 0.21 0.   0.   0.   0.   0.46 0.28 0.   0.27 0.15
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.41 2.68 0.   0.35 1.08
 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.67 0.   0.   0.
 0.   0.19 0.   0.87 0.   0.   0.   0.   0.03 0.02 0.   0.04 2.2  0.29
 0.   0.   0.   0.   0.2  0.02 0.05 0.   0.31 1.47 1.28 0.38 0.01 0.11
 0.04 0.   0.   0.   0.   0.   0.   0.   1.29 0.43 0.   0.   0.   0.
 0.   0.   0.   3.07 0.   0.   0.   0.05 0.   0.01 0.   0.   0.   0.
 0.   0.   0.   0.   0.2  0.   0.   0.   0.   0.   0.   0.35 0.08 0.
 0.   0.03 0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.83 1.84 0.
 0.24 0.15 0.   0.   0.   0.14 0.83 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.01 0.   0.   0.13 2.06 0.   0.02 0.   0.   0.
 0.02 0.08 0.08 0.   0.   0.   0.   0.   0.19 2.14 0.   0.   0.   0.
 0.   0.   0.   0.62 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.41
 0.39 0.16 0.   0.   0.   0.   0.   0.31 0.   0.   0.   0.12 0.   0.
 0.05 0.14 0.01 0.   0.   0.   0.04 1.35 0.   0.   0.01 0.04 0.19 0.07
 0.03 0.   0.   0.12 0.   0.   0.   0.37 0.02 0.   0.42 0.69 0.   0.
 0.   0.   0.   0.49 0.   0.   0.22 0.   0.   0.13 0.01 0.   0.12 0.
 0.   0.   0.26 0.   0.   0.   0.   0.04 0.52 0.25 0.   0.1  0.29 0.02
 0.   0.   0.01 0.   0.   0.   0.   0.   0.33 0.02 0.   0.   0.   0.01
 0.01 0.01 0.19 0.56 0.14 0.57 0.04 0.   0.   0.   0.   0.   0.   0.
 0.   0.08 0.   0.   0.   0.14 0.12 0.   0.   0.   0.   0.   0.38 0.35
 0.73 0.22 0.   0.   0.   0.   0.   0.   0.   0.   1.41 0.08 0.   0.02
 0.14 0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.   0.
 0.07 0.   0.   0.03 0.38 0.   0.08 0.   0.92 0.79 0.   0.   0.   0.
 0.02 0.   0.16 0.   0.33 0.   0.43 0.15 0.   0.   0.   0.   0.   0.
 0.18 0.09 0.36 0.   0.66 0.48 0.   0.   0.32 0.25 0.66 0.01 0.   0.
 0.   0.3  0.   0.   0.   0.04 0.   0.08 0.   0.94 1.07 1.69 0.   0.
 0.01 0.   0.   0.   0.   0.   0.   0.   0.03 0.   0.53 0.01 0.   0.25
 0.39 0.   0.   0.16 0.03 0.72 0.35 0.3  2.4  0.33 0.   0.   0.   0.01
 0.3  0.   0.   0.14 0.   0.   0.   0.06 0.82 0.02 1.47 0.   0.3  0.87
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.24 0.02 0.   0.   0.   0.   0.   0.04 0.
 0.   0.   0.   0.   0.17 0.   0.29 0.   0.19 0.44 1.76 1.69 4.05 0.
 0.01 0.   0.   0.   0.27 0.   0.   0.13 0.   0.   0.   0.   0.   0.65
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.53
 0.   0.   0.   0.49 0.   0.   0.01 0.07 0.   0.   0.   0.   0.   0.
 0.   0.   0.15 0.   0.44 0.07 0.   0.   0.   0.   0.   0.   0.   0.47
 0.   0.68 0.   0.   0.   0.05 0.61 0.51 0.05 0.24 0.   0.   0.   0.
 0.   0.06 0.18 0.57 0.09 0.   0.   0.29 0.12 0.   0.1  0.   0.   0.
 0.   0.03 0.03 0.06 0.   0.03 0.   0.03 0.   0.   0.28 0.72 0.   0.
 0.   0.03 0.   0.   0.   0.   0.13 1.04 0.   0.   0.   0.1  0.   0.
 0.78 0.11 0.   0.   0.   0.   0.03 0.   0.02 0.07 0.   0.01 0.   0.
 0.   0.   0.25 1.19 0.07 0.   0.1  1.5  0.   0.   0.02 0.56 0.   0.
 0.51 0.25 0.   0.   0.   0.42 0.   0.   0.   0.   0.   0.   0.1  0.
 0.   0.   1.59 0.   1.15 0.   0.   0.   0.08 0.3  0.36 0.   0.   0.12
 0.   0.4  0.89 0.19 0.   0.74 0.19 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.33 0.45 0.   0.73 0.   0.54 0.93 0.   0.   0.   1.3
 0.   0.   0.1  0.05 0.18 0.01 0.   0.   0.   0.01 0.25 0.17 0.38 0.
 0.   0.07 0.   0.   0.   0.12 0.   0.08 0.   0.07 0.   0.   0.   0.
 0.   0.   0.   0.   0.54 0.   0.   0.   0.15 0.   0.   0.   0.   0.
 0.   0.   0.04 0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.
 0.   0.   0.1  0.   0.   0.   0.   0.   0.17 0.02 0.   1.04 0.37 0.
 0.   0.02 0.   0.06 0.07 0.   0.   0.02 0.   0.   0.   0.   0.   0.03
 1.9  0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.
 0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.25
 0.03 0.57 0.   0.   0.   0.   0.08 0.07 0.   0.   0.   0.08 0.   0.
 0.   0.   0.04 0.04 0.   0.37 0.   0.   2.31 0.02 0.   0.   0.   0.01
 1.05 0.19 0.   0.   0.06 0.28 0.23 0.   0.   0.   0.   0.22 0.   0.15
 0.61 0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.28 0.
 0.   0.   0.   0.   0.   0.26 0.   0.   0.34 0.68 0.73 0.2  0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.4  0.03 0.   0.   0.   0.02 0.24 0.1  0.   0.53 1.38 0.   0.
 0.   0.   1.4  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.35 0.   0.   0.   0.   0.   0.   0.   0.15 0.01 0.   0.23 0.
 0.   0.   0.   0.   0.   0.38 0.   0.01 0.   0.   0.   0.   0.   0.
 0.   0.26 0.   0.   0.   0.   0.   0.03 0.   0.   0.08 0.   0.   0.
 0.17 0.01 2.06 0.14 0.   0.01 0.   0.11 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.14 0.01 0.
 0.   0.35 0.09 0.   0.   0.97 0.18 0.   0.   0.   0.57 0.06 0.   0.
 0.   0.   0.   0.   0.18 0.   0.   0.   0.   0.69 0.99 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.88 0.71 0.18 0.03 0.03 0.18 0.04 0.
 0.39 0.   0.   0.   0.   0.   0.01 0.06 0.42 0.12 0.   0.   0.3  0.27
 0.   0.   0.   1.93 0.   0.   0.   1.06 0.05 0.   0.   0.   0.   0.18
 0.12 0.88 0.59 0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.26 0.62
 0.02 0.09 0.   0.   0.   0.   0.1  0.   0.08 0.   0.   0.   0.   1.53
 0.29 0.   0.   0.   0.08 0.53 0.34 0.   0.04 0.01 0.02 0.47 0.   0.
 3.13 0.   0.   0.   0.   0.   0.   0.   0.   0.25 0.04 0.01 0.   0.
 0.   0.02 0.   0.   0.   0.28 0.   0.   0.   0.07 0.95 0.26 0.79 0.
 0.14 0.17 0.03 0.   0.   0.44 0.24 0.02 0.   0.   0.   0.   0.   1.94
 0.13 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03
 0.37 0.   0.   0.   0.12 0.   0.   0.   0.   0.   0.   0.07 0.13 0.
 0.   0.   0.   0.   0.16 0.   0.   0.   0.49 0.05 0.78 0.   0.   0.
 0.   0.   0.17 0.51 0.15 1.45 0.06 0.11 0.   0.25 0.   0.   0.   0.
 0.   0.   0.   0.14 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.04 0.   0.   0.   2.36 0.   0.   0.   0.   0.   0.01 0.6  0.06
 0.   0.   0.   0.   0.41 0.   0.   0.   0.   0.   0.   0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.08 1.26 0.
 0.03 0.84 0.   0.   0.   0.02 0.   0.   0.   0.   0.06 0.52 0.35 0.83
 0.08 0.   0.   0.   0.   0.   0.   0.01 0.   0.12 0.   0.42 0.27 0.
 0.   0.   0.   0.   0.   0.   0.35 0.   0.05 0.   0.   0.   0.   0.
 0.05 0.   0.   1.24 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.12
 0.01 0.67 0.29 0.   0.   0.   0.24 0.03 0.17 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 1.18 0.21 0.   0.   0.   0.   0.05 0.01
 0.84 0.   0.02 0.47 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 2.96 0.   0.   0.   0.   0.   0.   0.06 0.04 0.   0.13 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.34 0.01 0.   0.   0.   0.   0.
 0.23 1.78 0.07 0.   0.65 0.08 0.   0.   0.   0.02 0.02 0.   0.   0.
 0.   0.   0.   0.16 0.   0.   0.   0.   0.01 0.02 0.   0.23 0.02 0.
 0.   1.08 0.48 0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.
 0.   0.   0.   0.   0.   0.11 0.43 0.   0.   0.   0.   0.   0.   0.
 0.01 0.   0.   0.37 0.   0.   0.59 0.3  0.   0.   0.   0.   0.   0.
 0.   0.12 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.04 0.78 0.
 0.   0.02 0.94 0.   0.   1.14 0.74 0.   0.   0.   0.   0.   0.   0.
 1.71 0.02 0.   0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.03 0.09 0.07 0.02 0.51 0.78 0.   0.07 0.4  0.25 0.   0.
 0.02 0.11 0.   0.   0.   0.   0.65 0.   0.6  0.   0.   0.   0.   0.
 0.   0.   0.   0.21 0.   0.38 0.   0.15 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.12 0.29 0.   0.   0.21 0.1  0.   0.   0.92 0.   0.
 0.   0.   0.   1.83 2.3  0.   0.   0.   0.   0.   0.   0.   0.   0.51
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.26 0.23 0.   0.   0.   0.   0.   0.71 0.   0.   0.   0.   0.12 0.
 0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.26 0.   0.
 0.2  1.59 0.06 0.   0.   0.   0.66 0.29 0.   0.02 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.77 0.   0.   0.   0.
 0.   0.   0.   0.   0.15 0.   0.   0.3  0.   0.   0.   0.   0.   0.
 0.   2.97 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.24 0.31 0.
 0.02 0.   0.   0.   0.   0.   0.2  0.08 0.05 0.39 0.   0.   0.   0.
 0.   0.13 0.   0.   0.   0.   0.   0.   0.   0.   0.56 0.02 0.   0.
 0.   0.   0.   0.05 0.   0.31 0.   0.   1.09 0.   0.   0.   0.   0.41
 0.   0.57 0.07 0.   0.   0.   0.   0.   0.   0.03 1.   0.38 0.   0.02
 0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.16 1.63 0.   0.
 0.21 0.   0.02 0.97 0.   0.   0.02 0.   0.56 0.   0.48 0.16 0.   0.01
 0.   1.4  0.14 0.   0.   0.   0.   0.   0.   0.1  0.04 0.01 0.   0.
 0.   0.   0.   0.   0.04 0.01 0.85 0.19 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.16 0.84 0.   0.12 0.   0.   0.   0.03 0.
 0.   0.03 0.35 0.   0.   0.   0.11 0.   0.14 0.   0.   0.   0.   0.
 0.   0.   0.   0.39 0.01 0.   0.09 0.   0.   0.54 0.02 0.   0.   0.49
 0.02 0.   0.   0.   0.   0.5  0.   0.44 0.07 0.39 0.38 0.11 0.   0.
 0.01 0.13 0.   0.   0.   0.38 1.46 0.   0.3  0.   0.35 0.   0.   0.
 0.01 0.26 0.   0.   0.15 0.   0.   0.2  1.13 0.   0.   0.   0.   0.
 0.   0.   0.   1.33 0.5  0.   0.   1.08 0.   0.   0.   0.   0.   0.
 0.   0.   4.1  0.15 0.   0.   1.02 0.62 0.   1.58 1.27 0.   0.   0.
 0.   0.02 0.16 0.   0.   0.   0.   0.04 0.12 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.02 0.57 0.   0.   0.05 0.   0.   0.   0.52 0.
 0.49 0.45 0.35 0.   0.   0.   0.   0.   0.58 1.2  0.   0.   0.   0.
 0.   0.   0.   0.4  0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.01
 0.02 0.7  0.   0.   0.   0.11 0.   0.   0.01 0.   0.71 0.   0.   0.
 0.   0.   1.21 0.02 0.35 0.   0.   0.   0.   0.08 0.   0.33 0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.   0.03 0.   0.18 0.57 0.54 0.
 0.01 0.   0.39 0.   0.24 0.35 0.   0.   0.   0.01 0.   0.   0.26 0.
 0.   0.   0.45 0.   0.05 0.02 0.08 0.03 0.   0.   0.   0.1  0.   0.
 0.   0.   0.03 1.22 0.39 1.34 0.   0.   0.   0.   0.09 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.05 0.   0.07 0.04 0.29 0.41 0.   0.01
 0.   0.   0.   0.   0.05 0.1  1.25 0.   0.08 0.02 0.04 0.   0.   0.05
 0.01 0.51 0.   0.   0.   0.03 0.42 0.   0.62 0.   0.   0.   0.02 0.
 0.   0.   0.   0.   0.   0.11 0.   0.01 0.05 0.   0.   0.   0.17 0.
 0.   1.92 0.   0.   0.   0.   0.02 0.09 0.23 0.   0.   0.84 0.06 0.
 0.06 0.   0.   0.   0.   0.   0.   0.   0.07 0.   0.   0.22 0.   0.21
 0.02 0.   0.05 0.   0.   0.01 0.   0.   0.   0.   0.37 0.13 0.01 0.
 0.   0.15 0.   0.47 0.   0.17 0.01 0.   0.   0.   0.   0.   0.   0.
 0.12 0.   0.01 0.08 0.   0.   0.   0.   0.03 0.   0.37 0.   1.84 0.01
 0.09 0.   0.   0.   0.14 1.   0.39 0.2  0.01 0.   0.   0.03 0.81 0.
 0.03 0.   0.   0.   0.72 0.   0.   0.   0.   0.   0.45 0.   0.33 0.
 0.   0.   0.   0.   0.   0.   0.22 0.   0.   0.   0.   0.   0.   0.
 0.   0.04 0.   0.1  0.31 0.   0.   0.   0.   0.02 1.54 0.   0.09 0.02
 0.38 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.04 0.01 0.61
 0.   0.   0.   0.   0.24 0.   0.41 0.   0.   0.   0.   0.   0.49 0.12
 0.   0.   0.   0.   1.16 0.   0.   0.8  0.16 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.99 0.08 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.49 0.   0.   0.   0.   0.   0.   0.44 0.62 0.
 0.01 0.   0.   0.   0.   0.01 0.   0.12 0.   0.   0.   0.   0.   0.02
 0.7  0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 1.7  0.5  0.   0.01 0.03 0.   0.   0.12 0.   0.   0.14 3.4  0.15 0.64
 0.   0.11 0.   0.   0.43 0.34 0.   0.15 0.   0.   0.32 0.37 0.   0.
 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.4  0.08 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   1.07 0.   0.   0.   0.   0.   0.   0.   0.93 0.99 0.13 0.88
 0.   0.   0.   0.   0.   0.   0.   0.   0.09 0.02 0.   0.   0.   0.
 0.   0.   0.1  0.   0.   0.   0.   0.03 0.   0.   0.03 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.28 0.11 0.   0.61 0.1  0.   0.21
 0.   0.   0.   0.   0.13 0.   0.   0.   0.12 0.14 0.   0.03 0.   0.
 0.   0.   0.   0.13 1.35 0.   0.   0.   0.   0.11 1.93 0.   0.   0.25
 0.17 0.   0.21 0.28 0.   0.   0.63 0.   0.   0.   0.25 0.   0.53 0.14
 0.   0.   0.16 0.   0.   0.74 0.   0.   0.06 0.01 0.   0.07 0.06 0.
 0.   0.7  0.42 0.   0.   0.   0.   0.19 0.   0.25 1.71 0.   0.   0.38
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.52 0.   0.   0.   0.
 0.   0.15 0.   0.01 0.05 0.   0.   0.   0.01 0.   0.1  0.   0.32 0.02
 0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.   0.   0.
 0.   1.17 0.   0.   0.   0.   0.03 0.   0.   0.   0.56 0.28 0.47 0.
 0.   0.26 0.07 0.   0.   0.   0.46 0.   0.   0.   0.   0.04 0.   0.
 0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.33 0.   0.   0.   0.53
 0.   0.   0.   0.   0.   0.   0.78 0.07 0.   0.   0.   0.   0.36 0.16
 0.   0.03 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.88 0.
 0.16 0.   0.   0.   0.19 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.64 3.94 3.82
 0.   0.   0.   0.   0.09 0.   0.04 0.   0.   0.   0.   0.   0.   0.77
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.33 0.4  0.   0.   0.   0.   0.   0.88 0.66 0.   0.   0.   0.   0.04
 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.48 0.   0.   0.   0.   0.25 0.64 0.01 0.   0.   0.53 1.33 0.   0.
 0.   0.   0.   1.67 0.   0.34 0.71 0.   0.   0.   0.   0.   0.   0.
 0.49 0.   0.   0.07 0.23 0.   0.   0.   0.   0.   0.09 0.18 0.   0.
 0.   0.   0.   0.44 0.   0.81 0.06 0.   0.   0.2  0.41 0.   0.   0.
 0.   0.   0.27 0.   0.   0.   0.   0.   0.04 0.25 0.   0.77 0.   0.
 0.   0.   0.   0.1  0.   0.   0.   0.   0.   0.   0.38 0.01 0.01 0.
 0.   0.   0.06 0.   0.   0.   0.53 0.11 0.   0.   0.   0.34 0.   0.04
 0.   0.   0.   0.   0.12 0.1  0.55 0.1  0.   0.   0.81 0.12 0.06 0.
 0.   0.2  0.   0.   0.94 0.09 0.   0.   0.02 0.   0.05 0.   0.   0.
 0.04 0.02 0.   0.06 0.   0.37 0.31 0.   0.   0.   0.   0.   0.   0.
 0.   0.13 0.   0.15 0.   0.   0.61 0.   0.   0.   0.   0.   0.   0.
 0.   0.1  0.   0.18 0.5  0.   0.   0.   0.05 0.   0.   0.   1.68 0.1
 0.01 0.   0.   0.28 0.94 0.06 0.91 0.45 0.04 0.01 0.   0.18 0.   1.26
 0.   0.   0.05 0.   0.   0.   0.49 0.07 0.29 0.   0.   0.04 0.   0.
 0.   0.   0.26 0.29 0.   0.   0.   0.   0.65 0.01 0.2  0.03 0.   0.
 0.   0.   0.31 0.   0.   0.61 0.   0.   0.   0.06 0.   1.2  0.14 0.79
 0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.3  0.   0.   0.37
 0.   0.   0.   0.03 0.19 0.   0.   0.   0.08 0.49 0.01 1.32 1.09 0.45
 0.   0.   0.12 0.05 0.   0.   0.29 0.   0.02 0.22 0.   0.13 0.03 0.
 0.   0.   0.   1.33 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.78 0.61 0.   0.   0.   0.   0.
 0.   0.   0.28 0.   0.   0.   0.   0.   0.   0.   0.15 0.26 0.   0.
 3.1  0.03 0.   0.41 1.1  0.06 0.   0.   0.   0.01 0.   0.   0.   0.1
 0.   0.   0.   0.   0.11 0.   0.   0.   0.37 0.35 0.   0.14 0.   0.
 0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.08 0.3  0.04 0.5
 0.09 0.   0.   0.   0.   0.   0.   0.   0.07 0.07 0.   0.   0.   0.
 0.   0.03 0.54 0.06 0.03 0.33 0.08 0.   0.   0.   0.68 0.11 0.   0.76
 0.   0.   0.   0.   0.   0.82 0.78 0.2  0.   0.   0.   0.   0.06 0.2
 0.05 0.   0.   0.1  0.   0.   0.   0.28 0.   0.   0.   0.   0.86 0.02
 0.   0.01 0.   0.   1.26 0.   0.   0.01 1.12 0.22 0.37 0.   0.   0.
 0.   0.   0.   0.04 0.   0.3  0.   0.   0.13 0.   0.   0.   0.   0.
 0.   0.   0.05 0.3  0.   0.   0.2  0.08 0.   0.   0.   0.   0.69 0.07
 0.   0.   0.   0.   0.   0.3  0.01 0.   0.17 0.   0.   0.   0.06 0.09
 0.01 0.   0.   0.   0.56 0.21 0.   0.05 0.   0.   0.   0.   0.25 0.05
 0.   0.   0.   0.   0.   0.   0.05 0.18 0.1  0.   0.   0.   0.   0.
 1.21 0.   0.   0.01 0.   0.   0.   0.   0.   0.32 0.16 1.11 0.   0.
 0.05 0.02 0.   0.07 0.4  0.   0.   0.   0.01 0.   0.2  0.   0.   0.
 0.   0.   0.   0.   0.03 0.   0.   0.   0.01 0.   0.   0.   0.   0.34
 0.17 0.17 0.   0.03 0.   0.   0.   0.   0.   0.08 0.   0.08 0.05 0.
 0.   0.   1.73 0.02 1.3  0.03 0.29 0.64 0.04 0.01 0.   0.44 0.   0.
 0.   0.   0.   2.09 0.   0.   0.   0.   0.24 2.24 0.   0.08 0.07 0.
 0.   0.   0.   0.   0.47 0.06 0.05 0.   0.   0.   0.   0.15 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03 1.23 0.   0.
 0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.08 0.73 0.87 2.12 0.   0.   0.   0.   0.   0.   0.   0.   0.02
 0.   2.71 0.   0.   0.   1.09 0.   0.   0.   0.   0.01 0.38 0.   0.
 0.15 1.15 0.   0.52 0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.59
 0.05 0.   0.   0.56 0.14 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.67 0.   0.   1.33 0.   0.
 0.   0.   0.   1.32 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.06
 0.04 0.38 0.   0.   0.   0.   0.   0.13 0.   0.   0.   0.   0.   0.
 0.   0.13 0.   0.1  0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.21 0.   0.   0.08 0.01 0.   0.   0.   0.   0.26 0.   0.   0.   0.
 0.86 0.   0.   0.   0.23 0.01 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.04 0.   0.
 0.28 0.88 0.   0.   0.   0.   0.   0.   0.09 0.24 0.   0.   0.48 0.
 0.16 0.   0.15 0.02 0.   0.   0.   0.   0.   0.   0.   0.16 0.29 0.09
 0.   0.   0.   0.93 0.   0.   0.   0.   0.   0.34 0.   0.   0.   0.
 0.12 0.   0.   0.   0.73 0.   0.   0.02 0.51 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.38 0.6  0.   0.   0.   0.   0.   0.
 0.   0.1  1.   0.12 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.24
 0.33 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.37 0.01 0.
 0.   0.   0.   0.   0.   1.08 0.   0.   1.95 0.   0.   0.   0.14 0.
 0.   0.03 0.   0.06 0.   0.57 0.   0.   0.   0.   0.25 0.   0.   0.
 0.28 0.01 0.03 0.   0.   0.68 0.43 0.03 0.19 0.3  0.37 0.   0.03 0.
 0.   0.   0.   0.   0.   0.31 0.   0.   0.03 0.3  0.16 0.38 0.21 0.56
 0.   0.   0.36 0.   0.   0.01 0.58 0.   0.   0.   0.   0.06 0.   0.
 0.08 0.39 0.57 0.   0.   0.   0.   0.   0.68 0.   0.   0.   0.37 0.
 0.66 0.   0.   0.   0.62 0.   0.   0.   0.   0.01 0.   0.14 0.   0.
 0.   0.   0.   0.02 0.79 0.04 0.03 0.   0.   0.   0.   0.   0.54 0.15
 0.   0.31 0.   0.   0.59 0.   0.   0.   0.   0.   0.11 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.1  0.08 0.38 0.   0.   0.   0.   0.
 0.   1.31 0.15 0.   0.   0.   0.02 0.   0.   0.   0.   0.36 0.   0.
 0.   0.   0.   0.   0.69 0.   0.01 0.6  0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.75 0.19 0.   0.   0.2  0.01 0.   0.53 0.   0.
 0.17 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01
 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.09 0.64 0.49 0.49 0.   0.   0.   1.54 0.04 0.02
 0.   1.79 0.   0.   0.8  1.59 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.18 0.27 0.59 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.09 0.   0.03 0.12 0.   0.12 0.07 0.   0.   0.13 0.64 0.   0.
 0.   0.   0.   0.   0.29 0.   0.   2.36 0.04 0.03 0.   0.   0.   0.71
 0.87 0.   0.02 0.   0.23 0.03 0.   0.   0.   0.   0.09 1.22 0.   0.
 0.   0.11 0.21 0.   0.   0.46 0.18 0.   0.59 0.02 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.5  0.   0.03 0.06 0.   0.   0.   0.18 0.
 0.2  0.34 0.   0.   0.   0.   0.   0.   0.   0.42 0.   0.   0.   0.06
 0.   0.73 0.   0.   1.   0.   0.12 0.   0.   0.41 0.   0.19 0.18 0.2
 0.   0.   0.   0.   0.25 0.   0.   0.28 0.   0.02 0.   0.2  0.   0.
 0.15 0.51 0.   0.   0.   0.   1.61 0.03 0.   0.   0.   0.02 0.   0.01
 0.   0.   0.43 0.22 0.15 0.47 0.04 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.16 0.   0.   0.   0.08 0.04 0.   0.02 0.14 0.   0.59 0.
 0.59 0.01 0.   0.   0.   0.   0.69 1.   0.05 0.   0.71 0.59 0.06 0.
 0.   0.1  0.   0.   0.   0.48 0.   0.   0.   2.49 0.06 0.   0.   0.
 0.   0.02 0.   0.33 0.   0.15 0.02 0.04 0.9  0.22 0.   0.01 0.   0.
 0.   1.41 0.16 0.   0.08 0.19 1.28 0.   0.   0.35 0.09 0.   0.27 0.
 0.   0.   0.   0.17 0.65 0.03 0.   0.   0.   0.   0.   1.57 0.03 0.
 0.   0.   0.   0.41 0.   0.97 0.   0.53 0.   0.   0.   0.14 0.01 0.
 0.   0.   0.28 0.   0.68 0.03 0.31 0.   0.   0.   0.   0.   0.   0.05
 0.91 0.   0.   0.   0.   0.   0.45 0.19 0.   0.09 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.1
 0.38 0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.7  0.   0.   0.   0.   0.02 0.04 0.
 0.64 0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.24 0.   0.03 0.
 0.   0.   0.38 0.11 0.   0.   0.   0.   0.   0.   0.   0.   0.05 0.5
 0.   0.   0.3  0.   0.   0.94 0.   0.   0.05 0.   0.   0.   0.03 0.
 0.12 0.33 0.   0.13 0.02 0.   0.   0.   0.28 0.01 0.41 0.   0.   0.
 0.   0.15 0.   0.07 0.   0.   0.   0.   0.   0.06 0.   0.   0.69 0.48
 0.   0.   1.51 0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.36 1.54
 1.4  0.17 0.   0.   0.   1.21 0.36 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.07 0.   1.23 0.47 0.11 0.3  0.02 0.42 0.09
 0.86 0.   0.   0.73 0.   0.   0.   0.32 0.   0.   0.23 0.   0.   0.13
 0.   0.   0.01 0.   0.03 0.31 0.   0.   0.1  0.45 0.   1.09 0.01 0.
 0.04 0.   0.   0.86 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.38 0.   0.   0.   0.   0.   0.   0.39 0.   0.   0.   0.01 0.7  0.
 0.04 0.   0.   0.   0.   0.   0.1  0.05 0.   0.   0.   0.13 1.31 0.
 0.06 0.   0.   0.   0.   0.58 0.   0.23 0.   0.   0.94 0.36 0.   0.
 0.74 0.   0.   0.   0.   0.02 0.   0.   0.   0.36 0.27 0.29 0.   0.
 0.35 0.09 0.   0.   0.19 0.   0.   0.   0.07 0.   0.   0.   0.   0.05
 0.57 0.   0.91 0.02 0.08 0.07 0.08 0.   0.   0.01 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.01 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.09 0.   0.35 0.   0.   0.   0.16 0.   0.15 0.55 0.
 0.   0.   0.86 0.   0.   0.   0.   0.01 0.   0.   0.28 0.   1.1  0.18
 0.   0.48 0.   0.   0.04 0.63 0.48 0.46 0.   0.   0.   0.   0.   0.03
 0.62 0.03 0.   0.   0.84 0.   0.02 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.79 0.   0.35 0.01 0.   0.   0.   0.54 0.35 0.   0.41
 0.   0.   0.   0.04 0.7  0.01 0.   0.02 0.   0.05 0.03 0.   0.   0.23
 0.12 0.   0.   0.   0.   0.   0.92 0.   0.   0.   0.   0.   0.11 0.
 0.02 0.   0.   0.   0.   0.   0.02 0.   0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.13 0.93 0.   0.02 0.05 0.1  0.53 0.06 0.1  0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.15 0.   0.   0.   0.
 0.09 0.   0.   0.   0.   0.   0.   0.25 0.   0.05 0.   0.26 0.   0.
 0.19 0.   0.07 0.   0.   0.11 0.   0.   0.   0.05 0.46 0.17 0.   0.
 0.   0.   0.07 0.09 0.   0.   0.   0.25 0.   0.   0.32 0.5  0.   0.
 0.   0.   0.   0.02 0.05 0.   0.   0.02 0.23 0.   0.   0.46 0.   0.
 0.18 0.01 0.   0.01 0.   0.28 0.   0.   0.   0.   0.   0.15 0.   0.03
 0.05 0.06 0.22 0.07 0.42 0.46 0.16 0.   0.   0.   0.09 0.   0.   0.53
 0.05 0.   0.   0.71 0.93 0.39 0.02 0.   0.   0.01 0.   0.04 0.85 0.19
 0.   0.   0.   0.   0.01 0.04 0.   0.   0.   0.   0.   0.   0.2  0.01
 0.   0.12 0.02 0.35 0.01 0.   0.   0.03 0.06 0.   0.   0.64 0.08 0.57
 0.   0.   0.26 0.06 0.24 0.04 0.   0.   0.   0.01 0.02 0.   0.19 0.
 0.   0.   0.05 0.   0.02 0.   0.14 0.16 0.   0.   0.   0.   0.   0.22
 0.   0.   0.14 0.07 0.   0.08 0.   0.39 0.01 0.16 0.25 0.   0.05 0.
 0.23 0.02 0.   0.   0.02 0.04 0.   0.   0.   0.   0.16 0.   0.14 0.48
 0.45 0.   0.   0.   0.18 0.02 0.   0.06 0.   0.   0.56 0.   0.   0.15
 0.   0.   0.98 0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.14 0.31
 0.   0.27 0.   0.01 0.01 0.24 0.   0.   0.02 0.   0.   0.   0.   0.
 0.   0.   0.   0.01 0.29 1.2  0.   0.   0.   0.   1.38 0.78 0.   0.1
 0.   0.   0.31 0.   0.   0.   0.06 0.01 0.   0.   0.03 0.   0.   0.
 0.07 0.   0.   0.   0.05 0.   0.74 0.   0.   0.02 0.   0.   0.   0.01
 0.09 0.   0.   0.   0.   0.   0.   0.   1.43 1.46 0.   0.14 0.   0.
 0.   0.   0.   0.   0.51 0.03 0.49 0.   0.   0.08 0.   0.   0.   0.
 0.   0.   0.54 0.18 0.01 0.59 0.   0.   0.   0.   0.   0.   0.   0.03
 0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.01 0.4  0.   0.93 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.28 0.   0.01 0.   0.   0.08 0.   0.   0.   0.   0.
 0.   1.55 0.24 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01
 0.02 0.   0.   0.47 0.14 0.   0.   0.   1.59 0.   0.   0.22 0.   0.
 0.   0.04 0.   1.17 0.   0.   0.17 0.74 0.   0.02 0.14 0.   0.   0.
 0.18 0.72 0.   0.   0.   0.   0.   0.01 0.   0.01 0.   0.21 0.   0.
 0.73 0.04 0.14 0.   0.   0.   0.08 0.   0.   0.24 0.   0.   0.   0.06
 0.   0.   0.78 0.51 0.   0.   0.   0.   0.   0.   0.   0.03 1.16 0.
 0.   0.06 0.13 0.26 0.   0.   0.17 0.   0.01 0.08 0.   0.   0.84 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.87 0.   0.14 0.04 0.85 0.05
 0.   0.   0.   0.   0.   0.   0.18 0.   0.36 0.22 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.6  0.   0.   0.   0.   0.26 1.05 0.   0.12
 0.   0.13 0.   0.   0.   0.04 0.53 2.13 0.   0.   0.09 0.54 0.   0.
 0.   0.   0.   0.   0.09 0.   0.24 0.   0.   0.   0.21 0.   0.   0.01
 0.   0.   0.08 0.56 0.   0.   0.   0.   0.02 0.6  0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   1.21 0.   0.   0.   0.   0.   0.
 0.   0.02 0.01 0.01 0.   1.   0.91 0.   0.   0.21 0.   0.84 0.72 0.
 0.   0.   0.02 0.48 0.   0.   0.   0.1  0.   0.01 0.   0.   0.29 0.76
 0.02 0.   0.   0.   0.   0.   0.   0.01 0.35 0.   0.   0.   0.35 0.01
 0.42 0.15 0.17 0.   0.   0.2  0.09 0.   0.   0.   0.   0.   0.02 0.01
 0.   0.   0.01 0.04 0.   0.   0.94 0.   0.   0.12 0.   0.   0.   0.
 0.24 1.83 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.35 0.08 0.
 0.35 0.   1.   0.   0.   0.34 0.09 0.   0.   0.   0.   0.16 0.   0.
 0.   0.16 0.   0.   0.   0.   0.   0.   0.02 0.01 0.05 0.   0.   0.21
 0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.   0.   0.   0.   0.
 0.   0.   0.07 0.   0.21 0.   0.   0.   0.   0.   0.   0.06 0.   0.
 0.   0.   1.95 0.   0.   0.   0.84 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.63 0.   0.   0.   0.28 0.   0.   0.01 0.75
 0.64 1.36 0.   0.   0.   2.2  0.   0.   0.   0.   0.   0.   0.4  0.
 0.27 0.   0.   0.   0.   0.   0.   0.   0.12 0.   0.75 0.   0.   0.
 0.   0.   0.   0.   0.   0.6  0.01 0.   0.02 0.01 0.   0.   0.01 0.
 0.5  0.36 0.   0.   1.1  0.   0.98 0.37 0.   0.   0.   0.22 0.01 0.
 0.   0.   0.07 0.02 0.01 0.18 0.36 0.01 0.51 0.   0.   0.   0.   0.27
 0.   0.   0.   0.22 0.02 0.   0.28 0.19 0.01 0.13 0.   0.83 0.02 0.
 0.   0.85 0.14 0.51 0.01 0.   0.   0.   0.   0.15 0.49 0.   0.   0.
 0.   0.   0.   0.09 0.   0.   0.   0.   0.07 0.36 0.01 0.   0.   0.21
 0.   0.   0.   0.   0.   0.   0.   0.   0.4  0.   0.   0.77 0.06 0.04
 0.09 0.   0.   0.   1.49 0.   0.12 0.02 0.   0.   0.   0.   0.45 0.
 0.   0.09 0.37 0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.09 0.
 0.01 1.82 0.   0.   0.   0.   0.01 0.   0.   0.19 0.58 0.11 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.55 0.52 0.96 0.26 0.   0.   0.
 0.   0.   0.   0.   0.13 0.   0.   0.   0.02 1.15 0.24 0.   0.   0.03
 0.   0.02 0.36 0.05 0.48 0.   0.   0.   0.   1.8  0.05 0.   0.   0.
 0.   0.45 1.95 0.   0.   0.62 0.   0.   0.   0.   0.54 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.03 0.   0.02 0.13 0.1  0.   0.   0.
 0.   0.   0.25 0.   0.   0.   0.   0.26 0.   0.   0.   0.22 0.93 0.89
 0.   0.   0.   0.   0.   0.   0.12 0.01 0.   0.   0.19 0.02 0.   0.
 0.   0.   0.25 0.   0.43 0.   0.   0.   0.34 0.   0.   0.   1.18 0.01
 0.16 0.07 0.67 0.   0.65 0.   0.   0.   0.97 0.   0.   0.   0.   0.43
 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.09 1.17 0.08 0.05 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.17 0.   0.   0.15
 0.26 0.   0.   0.   0.16 0.   0.   0.   0.   0.   0.   0.   0.78 0.04
 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.07 0.   0.   0.   0.   0.   0.   0.   0.04 0.   0.
 0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.
 0.   0.79 0.01 0.   0.   0.01 0.65 0.2  1.13 0.   0.   0.   0.   0.
 0.   0.   0.17 0.   0.44 0.24 0.   1.26 0.   0.   0.   0.   0.01 1.14
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.67 0.05 0.01 0.   0.
 0.   0.   0.   0.   0.   0.3  0.   0.05 0.5  0.   0.   0.01 0.18 0.68
 0.41 0.47 0.08 0.02 0.   0.   0.   0.   0.   0.43 0.   0.01 0.28 0.
 0.   1.3  0.19 0.   0.04 0.22 0.   0.   0.03 0.01 0.   0.   0.   0.
 0.03 0.25 0.   0.   0.   0.01 0.21 0.   0.   1.3  0.   0.   0.   0.
 0.   0.51 0.   0.   0.   0.   0.05 0.   0.   0.03 0.   0.29 1.15 0.
 0.   0.   0.06 0.   0.   0.   1.07 2.61 0.   1.4  0.02 0.   0.2  0.41
 0.   0.   0.   0.   1.04 0.42 0.05 0.   0.   0.   0.01 0.   0.03 0.
 0.   0.3  0.   0.07 1.32 0.   0.   0.79 0.   0.35 0.45 0.   0.   0.72
 0.   0.35 0.12 0.   0.   0.   0.   0.   0.   0.58 0.   0.   0.   0.12
 0.51 0.   0.   0.   0.65 0.53 0.17 0.16 0.   0.   0.   0.   0.22 0.
 0.3  0.07 0.43 0.   0.   0.   0.   0.52 0.39 0.   0.01 0.19 0.09 0.
 0.   0.11 0.   0.   0.   0.   0.   0.   0.   0.25 0.   0.   0.   0.
 0.   0.44 0.02 0.   0.   0.   0.   0.   0.   0.   0.4  0.   0.   0.
 0.   0.   0.43 0.28 0.   0.   0.14 0.   0.   0.   0.06 0.   0.   0.01
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.26 0.14 0.   2.41
 0.   0.   0.   0.   0.   0.   0.78 0.   0.   0.2  0.   0.   0.14 0.
 0.   0.   0.68 0.01 0.   0.   0.   0.92 0.   0.   0.15 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.
 0.   0.04 0.   0.   0.   0.   0.   0.   0.35 0.02 0.   0.19 0.01 0.
 0.   0.   0.06 0.28 0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.64 0.   0.   0.   0.   0.   0.02 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.37 0.   0.01 2.49 0.77
 0.   0.   0.   0.   0.   0.   0.   0.23 0.55 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.77 0.   0.29 0.
 0.03 0.   0.   0.14 0.   0.   0.   0.16 0.67 0.61 0.33 0.   0.12 0.47
 0.   0.43 0.   1.46 0.   0.   0.   0.   0.   0.   0.01 0.05 0.   0.
 0.   0.   0.   0.11 0.   0.   0.   0.   0.   0.   0.   0.04 0.04 0.
 0.   0.1  0.19 0.45 0.08 0.   0.18 0.02 0.33 0.   0.   0.   0.   0.06
 0.   0.   0.   0.   0.   0.15 0.   0.   0.01 0.   0.   0.   0.31 0.
 0.   0.   0.   0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.63 0.
 0.   0.   0.51 0.15 0.   0.01 0.15 0.   0.   0.   0.41 0.   0.87 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.29 0.52 0.   0.   0.   0.
 0.36 0.33 0.   0.   0.   0.   0.44 0.   0.   0.   0.   0.   0.03 0.03
 0.   0.   0.   0.   0.01 0.   0.17 0.   0.   0.33 0.   0.   0.   0.03
 0.31 1.29 0.   0.   0.   0.   0.   0.35 0.   0.   0.   0.15 0.03 0.
 0.   0.   0.   0.75 0.06 0.   0.   0.   1.05 0.02 0.26 0.   0.   0.
 0.   0.   0.   0.03 0.   0.18 0.2  0.4  0.02 0.05 0.   0.01 0.   0.
 0.   0.07 0.   0.   0.   0.   0.   0.11 0.   0.   0.   0.   0.   0.
 0.   0.   0.52 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.59 0.
 0.   0.   0.   0.08 0.02 0.   0.11 0.   0.   0.14 0.   0.   0.22 0.
 0.   0.   0.   0.   0.   0.37 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.03 0.   0.   0.05 0.   0.04 0.   0.   0.83 0.   0.
 0.   0.   0.   1.84 0.   0.   0.   0.   0.   0.04 0.   0.   0.   1.15
 0.23 0.29 0.   0.   0.   0.   0.   0.   0.   0.   0.52 1.19 0.   0.
 0.   0.   0.   0.   0.   0.27 0.   0.4  2.9  0.   0.   0.   0.16 0.18
 0.   0.05 0.55 0.   0.09 0.   0.   0.   0.   0.14 0.   0.   0.   0.01
 0.   0.   0.06 0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.
 0.37 0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.22 0.
 1.13 0.15 0.   0.   1.7  0.14 0.02 0.09 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.1  1.31 0.64 0.   0.   0.35 0.
 0.   0.   0.23 0.35 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.5
 0.   0.   0.   0.   0.52 0.08 0.01 0.   0.68 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.02 0.63 0.59 0.   0.   0.31 0.   0.02 0.02 0.22
 0.   0.   0.   0.   0.   0.   0.07 0.   0.07 0.   0.   0.   0.   0.
 0.   0.05 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.02 0.3  0.
 0.   0.   1.23 0.08 0.   0.   0.   0.41 0.   0.   0.03 0.03 0.15 0.17
 0.   0.   0.   0.   0.01 0.44 0.   0.   0.   0.01 0.13 0.21 0.   0.01
 0.5  0.05 0.55 0.   0.   0.01 0.   0.   0.02 0.   0.   0.25 0.05 0.
 0.26 0.   0.   0.29 1.02 0.   0.   0.   0.49 0.   0.   0.   0.   0.
 0.   0.   0.04 0.08 0.   0.21 0.   0.   0.   0.   0.   0.26 0.   0.05
 0.01 0.   0.   0.   0.27 0.   0.08 0.09 0.   0.09 0.01 0.38 0.   0.03
 0.37 0.   0.   0.   0.   0.   0.13 0.   0.   0.09 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.46 0.   0.02 0.
 0.   0.   0.32 0.14 0.48 0.   0.   0.01 0.29 0.   0.   0.04 0.05 0.02
 0.   0.23 0.06 0.   0.   0.   0.   0.   0.   0.02 0.36 0.42 0.11 0.
 0.59 0.32 0.   0.   0.   0.   0.   0.2  0.   0.   0.   0.   0.17 0.
 0.   0.   0.12 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03
 0.   0.   0.97 0.03 0.   0.05 0.88 3.62 2.7  0.05 0.05 0.   0.   1.18
 0.68 0.   0.45 0.   0.05 0.   0.   0.   0.01 0.   0.   0.   0.11 0.
 0.   0.   0.   0.07 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.
 0.   0.   0.   0.25 0.05 0.   0.   0.08 1.22 0.   0.   0.   0.71 0.
 0.28 0.   0.   0.   0.   0.01 2.39 0.15 0.37 0.   0.   0.   0.   0.
 1.1  0.58 0.77 0.24 0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.
 0.   0.   1.18 0.   0.   0.   0.   1.06 0.42 0.09 0.   0.17 0.   0.
 0.57 0.   0.   0.22 0.   0.34 0.83 0.   0.   0.37 0.   0.   0.   0.05
 0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.04 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.15
 0.   0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.11 0.   0.
 0.   0.   0.   0.15 0.03 0.08 0.33 0.12 0.   0.   0.   0.02 0.   0.
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.15 0.52 0.   0.   0.52
 0.   0.12 0.07 1.01 0.12 0.   0.   0.   0.14 0.03 0.   0.   0.08 0.
 0.14 1.01 0.   0.   0.   0.   0.   0.24 0.25 0.   0.05 0.4  0.   0.
 0.07 0.   0.07 0.   0.13 0.27 0.81 0.   0.   0.   0.06 0.05 1.02 0.
 0.9  0.05 0.38 0.78 0.   0.   0.   0.   0.11 0.   0.   0.   0.   0.33
 0.   0.   0.   0.   0.   0.01 0.   0.13 0.75 0.72 0.   0.   0.   0.
 0.03 0.   0.3  0.33 0.   0.   0.   0.   0.   0.1  0.01 0.   0.   0.24
 0.   0.   0.04 0.12 0.   0.51 0.   0.07 0.   0.42 0.22 0.   0.   0.01
 0.   0.   0.   0.17 0.   0.07 0.   0.1  0.03 0.   0.   0.   0.09 0.
 0.   0.   0.39 0.   0.   0.03 0.09 0.22 1.04 0.19 0.   0.   0.   0.
 0.   0.   0.07 0.   0.   0.   0.   0.   0.07 0.   0.   0.   0.   0.31
 0.   0.24 0.12 0.   0.   0.73 0.   0.   0.   0.   0.   0.02 0.15 0.47
 0.   0.   0.06 0.42 0.   0.   0.   0.11 0.   0.   0.36 0.   0.   0.
 0.07 0.94 0.   0.   0.01 0.04 0.06 0.42 0.   0.   0.   0.   0.   0.
 0.   0.   0.05 0.66 0.02 0.   0.   0.09 0.   0.   0.31 0.   0.   0.
 0.   0.04 0.   0.25 0.73 0.   0.   0.   0.   0.   0.   0.28 0.   0.
 0.13 0.21 0.03 0.   0.   0.   0.73 0.01 0.   0.   0.   0.   0.   0.
 0.01 0.44 0.18 0.03 0.   0.   0.21 0.   0.   0.12 0.15 0.   0.   0.2
 0.   0.   0.   0.   0.   0.   0.2  0.   0.35 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.4  0.23 0.   0.
 0.   0.   0.   0.   0.   2.41 0.42 0.35 0.   0.   0.   0.   0.   0.11
 0.   0.   0.   0.03 0.   0.   0.   0.   0.5  0.42 0.   0.   0.49 0.08
 0.   0.   0.12 0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02
 0.   0.04 0.51 0.   0.14 0.19 0.14 0.97 0.08 0.24 0.   0.   0.   0.
 0.15 0.43 0.01 0.16 0.02 0.   0.   0.   0.19 0.   0.   0.   0.   0.
 0.   0.   0.02 0.03 0.   0.09 0.23 0.   0.   0.   0.   0.06 0.16 0.
 0.   0.   0.   0.03 0.11 0.49 0.   0.02 0.   0.14 0.   0.19 0.   0.13
 0.63 0.   0.11 0.13 0.   0.   0.   0.   0.41 0.16 0.   0.   0.04 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.88 0.01 0.06
 0.39 0.03 0.   0.   0.   0.   0.   0.25 0.46 0.   0.   0.   0.   0.
 0.51 0.   0.   0.   0.07 0.11 0.   0.   0.   0.   0.05 0.04 0.03 0.
 0.03 0.02 0.   0.02 0.78 0.   0.85 0.77 0.25 0.   0.31 0.15 0.   0.
 0.03 0.   0.   0.   0.   0.03 0.41 0.02 0.   0.   0.   0.6  0.   0.1
 0.01 0.   0.01 0.17 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.05 0.   0.   2.55 0.   0.   0.   0.02 0.04 0.49 0.   0.   0.48
 0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.33 0.   0.   0.   0.
 0.03 0.   0.   0.   0.   0.   0.01 0.49 0.   0.01 0.   0.   0.   0.
 0.   0.   0.   0.46 0.   0.33 0.   0.   0.1  0.09 0.   0.   0.   0.04
 0.   0.   0.   0.06 0.1  0.   0.   0.   0.67 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.07 0.   0.2  0.29 0.
 0.   0.   0.56 0.   0.   0.   0.   0.   0.05 0.   0.41 0.   0.   0.34
 0.   0.   0.   0.   0.   0.   0.   0.   0.   1.09 0.34 0.   0.   0.
 0.08 0.   0.   0.55 0.   0.3  0.   0.   0.09 0.   0.   0.33 0.   0.
 0.11 0.08 0.06 1.05 0.2  0.   0.   0.   0.02 0.   0.22 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.24 1.19 0.85 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.42 0.04 0.   0.   0.   0.   0.52
 0.   0.   0.   0.   0.   0.   0.01 0.14 0.65 0.   0.   0.01 0.   0.
 0.6  0.   0.   0.   0.   0.   0.76 0.27 0.   0.   0.21 0.49 0.   0.
 0.   0.   0.   0.   0.   0.   0.36 0.   0.97 0.   0.   0.05 0.7  0.
 0.22 0.15 0.03 0.52 0.29 0.42 0.   0.   0.   0.   0.   0.   0.   0.02
 1.51 0.2  0.   0.   0.   0.   1.05 0.   0.   0.1  0.   0.   0.21 0.
 0.   0.   0.   0.   0.51 0.   0.   0.   0.   0.   0.   0.56 0.17 0.33
 0.   0.   0.   0.   0.41 0.86 0.   0.   0.55 0.17 0.   0.   0.   0.
 0.02 0.   0.   0.   0.   0.   0.   0.6  0.   0.   0.   0.   0.   0.
 0.   0.15 0.57 0.   0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.72
 0.89 0.   0.   0.29 0.15 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.48 0.   0.   0.   0.   0.02 0.9  0.71 0.   0.   0.   0.06 0.13 0.04
 0.   0.   0.   0.41 0.05 0.   0.   0.   0.   2.19 0.31 0.   0.   0.
 0.4  0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.   0.1  0.46 0.
 0.   0.   0.04 1.66 0.88 0.02 0.   0.   0.4  0.21 0.28 0.34 0.41 0.03
 0.   0.   0.01 0.01 0.   0.01 0.11 0.18 0.   0.43 0.03 0.12 0.   0.
 0.18 0.   0.47 0.   0.   0.03 0.   0.   0.   0.   0.02 0.   0.   0.
 0.   0.   0.   0.23 0.05 0.05 0.   0.21 0.17 0.   0.   0.   0.32 0.
 0.28 0.41 0.15 0.   0.   0.   0.66 0.   0.   0.   0.   0.   0.   0.
 0.   0.13 0.89 0.   0.43 0.02 0.   0.   0.24 0.18 0.1  0.01 0.14 0.
 0.   0.   0.   0.   0.32 0.01 0.   0.   0.06 0.09 0.14 0.18 0.   0.74
 0.   0.   0.   0.   0.   0.   0.   0.15 0.   0.   0.   0.13 0.09 0.
 0.23 0.14 0.02 0.   0.   0.   0.   0.01 0.   0.01 1.54 0.02 0.   0.02
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.84 0.2  0.   0.01 0.
 0.   0.   0.   0.   0.   0.72 0.47 0.   0.08 0.8  0.   0.   0.   0.
 0.04 1.2  0.02 0.   0.06 0.86 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.01 0.09 0.04 0.   0.07 0.   0.   0.   0.   1.1  1.32
 0.   0.89 0.96 0.03 0.09 0.   0.   0.   0.   0.09 0.21 0.   0.   0.
 0.   0.   0.12 0.05 0.   0.   0.   0.   0.3  0.   0.05 0.   0.02 0.
 0.   0.   0.   0.   0.   0.02 0.   0.92 0.07 0.   0.   0.   0.1  0.51
 0.07 0.   0.   0.08 0.1  0.   0.   0.   0.   0.03 0.01 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.34 0.01 0.   0.42
 0.83 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.02 0.04
 0.38 0.01 0.   0.   0.39 0.08 0.08 0.   0.   0.   0.01 0.06 0.   0.
 0.01 0.   0.   0.   0.05 0.48 0.   0.   0.   0.   0.16 0.5  0.   0.
 0.07 0.34 0.02 0.   0.   0.02 0.   0.   0.   0.   0.05 0.   0.   0.
 0.   0.   0.   0.   0.01 0.2  0.   1.35 0.   0.   0.   0.06 0.   0.78
 0.   0.   0.08 0.   0.11 0.   0.   0.   0.22 0.   0.   0.   0.   0.
 0.26 0.02 0.   0.68 0.   0.   0.51 0.   0.02 0.   0.01 0.   0.   0.
 0.16 0.2  0.12 0.   0.   0.   0.   0.   0.   0.   0.13 0.   0.   0.
 0.   0.   0.09 0.32 0.29 0.06 0.   0.2  0.02 0.04 0.   0.   0.   0.05
 0.   0.   0.   0.   0.   0.49 0.06 0.   0.   0.   0.   0.03 0.   0.
 0.44 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.06 0.03 0.
 0.   0.29 0.   0.   0.   0.   0.   0.06 0.96 0.   0.   0.   0.   0.
 0.14 0.22 0.   0.82 0.12 0.   0.44 0.06 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.41 0.11 0.02 0.   0.3  0.17 0.06
 0.   0.   0.22 1.8  0.   0.06 0.15 0.98 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   1.25 0.   0.   0.7  1.13 0.   0.   0.   0.
 0.   0.   0.   0.06 0.01 0.   0.   0.   0.02 0.   0.06 0.   0.   0.
 0.   0.73 0.   0.49 0.41 0.04 0.25 0.   0.   0.   0.   0.   0.   0.
 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.35 0.02 0.   0.49 0.   0.   0.   0.   0.   1.08 0.14
 0.45 0.   0.   0.   0.17 0.28 0.   0.   0.   0.   0.   0.   0.   0.06
 0.27 1.43 0.12 0.   0.19 0.   0.   0.   0.15 0.11 0.01 0.   0.04 0.
 0.67 0.82 0.   0.   0.   0.   0.   0.01 0.62 0.   0.   0.38 0.   0.
 0.   0.   0.   0.   1.1  0.28 0.   0.   0.13 0.05 0.   0.   0.   0.
 0.   0.   0.76 0.58 0.   0.   0.   0.   1.15 0.2  0.   0.   0.   0.
 0.06 0.   0.   0.25 0.71 0.   0.   0.   0.02 0.07 0.57 0.27 0.   0.
 0.   0.04 0.84 0.   0.   0.   0.   0.   0.   0.   0.03 0.18 0.43 0.
 0.31 0.   0.   0.2  0.02 0.   0.   0.   0.   0.   0.   0.   0.1  0.25
 0.   0.   0.   0.   0.01 0.   0.   0.13 0.52 0.   0.   0.   0.05 1.63
 0.   0.02 0.22 0.   0.   0.   0.43 0.21 0.   0.   0.   0.   0.   0.67
 0.5  0.   0.   0.04 0.   0.   0.89 0.19 0.01 0.   0.   0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.4  0.   0.   0.   0.   0.19 0.   0.
 0.   0.03 0.   0.   0.   0.35 0.89 0.   0.   1.05 0.51 0.73 0.   0.08
 0.   0.07 0.   0.03 0.01 0.   0.   0.   0.   0.   0.16 0.   0.   0.
 0.   0.03 0.   0.08 0.27 0.03 0.   0.   0.   0.75 0.   0.   0.   0.
 0.   0.   0.22 0.26 0.   0.09 0.25 0.   0.   0.   0.05 0.   0.14 0.
 0.   0.   0.15 0.8  0.02 0.   0.   0.   0.   0.   0.21 0.03 0.   0.06
 0.   0.   0.   0.   0.   0.   0.   0.   0.   1.05 0.   0.07 0.07 0.
 0.3  0.01 0.   0.   0.   0.   0.   0.15 0.   0.   0.   0.   0.03 0.
 0.34 0.   1.49 0.   0.   0.   0.   0.   0.07 0.   0.   0.   0.   1.14
 0.01 0.   0.   0.   0.12 0.06 0.   0.   0.   0.   0.   0.   1.5  0.
 0.   3.56 0.   0.   0.   0.   0.   0.06 0.   0.04 0.69 0.   0.96 0.
 0.   0.   0.   0.25 0.   0.   0.   2.15 0.   0.02 0.45 0.   0.   0.
 0.   0.   0.   0.   1.05 0.59 0.   0.   0.   0.08 0.   0.   0.   0.
 0.27 0.02 0.31 2.35 0.07 0.   0.   0.   0.   0.24 1.02 0.25 0.   0.
 0.   0.   0.   0.   0.   0.15 0.16 0.46 0.   0.   0.   0.   0.   0.03
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.5  0.   0.   0.25 1.6
 0.   0.   0.   0.14 0.   0.   0.   0.1  0.16 0.   0.04 1.51 0.   0.
 0.   0.18 0.   0.   0.   0.04 0.9  0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.   0.39 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.18 0.68 0.   0.   0.
 0.24 0.   0.   0.11 0.   1.29 0.   0.   0.   0.   0.02 0.   0.   0.52
 0.   0.   0.78 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.14 0.11 0.   0.   0.19 0.31 0.   0.   0.07 0.04 0.   0.23
 0.01 0.   0.   0.   0.   0.   0.   0.52 2.1  0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.08 0.   0.05 0.   0.28 0.   0.   0.   0.23 0.09
 0.   0.57 0.   0.   0.04 0.32 0.   0.   0.   0.04 0.18 0.   0.69 0.09
 0.   0.   0.   0.18 0.82 0.   0.   0.   0.09 0.49 0.   0.   0.01 0.94
 0.   0.   0.   0.   0.22 0.03 0.   0.13 0.12 0.   0.   0.   0.   0.
 0.   0.   0.   0.98 0.   0.05 0.48 0.   0.   1.25 0.   0.75 0.08 0.
 0.   0.27 0.   0.14 0.35 0.05 0.   0.11 0.45 0.   0.11 0.14 0.   0.
 0.   0.38 0.16 0.14 0.04 0.   0.05 0.15 0.   0.   0.   0.24 0.   0.
 0.03 0.   0.   0.4  0.   0.   0.   1.11 0.61 0.03 0.01 0.   0.   0.01
 0.   0.12 0.   0.   0.   0.   0.   0.07 0.16 0.   0.   0.   0.52 0.
 0.   0.   0.   0.   0.   0.65 0.96 0.   0.05 0.15 0.02 0.15 0.   0.
 0.   0.   0.08 0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.14
 0.   1.04 0.01 0.   0.   0.   1.17 0.   0.   0.   0.58 0.   0.   0.
 0.   0.75 0.   1.11 0.   0.01 0.64 0.   0.   0.   0.05 0.   0.   0.
 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.5  0.57 0.   0.3  0.03
 0.   0.82 0.2  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.09 0.32 0.   0.   0.   0.01 0.23 1.05
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.19 0.71 0.01 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.91 0.02 0.   0.   0.   0.
 0.   0.03 0.03 0.   0.   0.   0.   0.   0.   0.   0.31 0.   0.   0.
 0.   0.   0.   0.   0.33 0.   0.   0.   0.   0.06 0.   0.4  0.   0.59
 0.04 0.   0.   0.5  0.   0.   0.   0.79 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.13 0.   0.43 0.   0.
 0.   0.   0.33 1.05 0.15 0.   0.   0.   0.23 0.35 0.   0.   0.   0.35
 0.   0.   0.   0.01 0.   0.   0.   0.   1.57 0.24 0.02 0.   0.   0.
 0.   0.   0.   0.39 0.   0.   0.   0.   0.01 0.   0.04 0.01 0.03 0.
 0.25 0.01 0.   0.   0.04 0.   0.   0.06 0.08 0.   0.03 0.   0.   0.
 0.47 0.   0.   0.   0.   0.74 0.01 0.07 0.   0.   0.23 0.   0.07 0.13
 0.04 0.52 0.   0.83 0.23 0.23 0.   0.   0.   0.   0.   0.05 0.   0.
 0.   0.   0.   2.33 0.   0.   0.   0.   0.   0.   0.   0.   0.31 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.28 1.29 0.   0.   0.   0.
 0.   0.89 0.06 0.25 0.   0.   0.06 0.13 0.   0.18 0.   0.   0.   0.02
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.12 0.   0.41 0.09
 0.   0.   0.01 0.   0.06 0.   0.   0.   0.   0.   0.01 0.   0.   0.
 0.   0.15 0.   0.   0.   0.   0.49 0.   0.   0.   0.   0.   0.   0.04
 0.   0.   0.   0.   0.64 0.04 0.   0.   0.   0.   0.   0.53 0.63 0.
 0.   0.   0.   0.   0.05 0.09 0.   0.   0.09 1.32 0.   0.34 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.4  0.   0.   0.03 0.4  0.84 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.62 0.   0.83
 0.13 0.03 0.   0.   0.   0.   0.26 0.95 0.   0.   0.21 0.73 0.   0.
 0.   0.   0.   0.   1.59 0.36 0.   0.   0.   0.17 0.   0.02 0.77 0.
 0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.29 0.   0.13 0.
 0.   0.   0.   0.   0.   0.   1.44 0.23 0.   0.   0.   0.   0.   0.25
 1.15 0.23 0.   0.   0.23 0.05 0.06 0.02 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.02 0.   0.33 0.32 0.   0.   0.05 0.41 0.03 0.02
 0.   0.58 0.   0.   0.   0.   0.   0.   1.61 0.   0.   0.   0.   0.
 0.   0.   0.6  0.   0.02 0.5  0.61 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.66 0.46 0.   0.   0.1  0.01 0.   0.   0.
 0.   0.   0.01 0.   0.   0.   0.   0.16 0.38 0.   0.   0.1  0.03 0.
 0.   0.35 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.09 0.25 0.15 0.   0.   0.   0.   0.01 0.15 0.38 0.01 0.   0.32 0.
 0.   0.26 0.24 0.   0.   0.07 0.   0.   0.33 0.04 0.   0.   0.   0.
 0.   0.   0.   0.14 0.94 0.   0.   0.   0.   0.   0.   0.97 0.   0.
 0.   0.   0.11 0.02 0.   0.   0.   0.56 0.18 0.   0.2  0.01 1.   0.
 0.   0.   0.01 0.12 0.4  0.01 0.   0.   0.14 0.21 0.   0.14 0.39 0.02
 0.   0.   0.   0.   0.21 0.01 0.   0.   0.   0.   0.   0.05 0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.03 0.17
 0.   0.   0.   0.   0.12 0.   0.   0.   0.   0.   0.   0.89 0.08 0.
 0.   0.   0.03 0.   0.   0.   0.03 0.28 0.09 0.   0.04 0.28 0.   0.
 0.   0.64 0.   0.29 0.   0.   0.   0.   0.   0.04 0.   0.   0.36 0.
 0.   0.   0.   0.92 0.   0.   0.02 0.27 0.   0.02 0.05 0.03 0.   0.
 0.28 0.32 0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.
 0.   0.8  0.   0.   0.03 0.   0.   0.   0.   0.05 0.38 0.   0.   0.
 0.   0.02 0.53 0.01 0.   0.   0.   0.35 0.42 0.03 0.   0.   0.   0.
 0.   0.   0.02 0.   0.35 0.   1.36 0.   0.01 0.06 0.   0.   0.01 0.
 0.   0.   0.48 0.   0.27 0.   0.   0.   0.   0.06 0.06 0.78 0.   0.
 0.1  0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.02 0.25 0.
 0.32 0.   0.   0.   0.   0.   0.23 0.19 0.   0.   0.18 0.44 0.11 0.
 0.02 0.01 0.   0.   0.   0.   0.   0.   0.   2.18 0.   0.   0.   0.04
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.
 0.56 0.18 0.   0.   0.07 1.27 2.96 0.2  0.   0.   0.15 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.8  0.   0.   0.   0.   0.
 2.01 0.04 0.   0.11 0.   0.   0.   0.   0.   0.81 0.1  0.   0.   0.32
 0.   0.05 0.   0.   0.   0.14 0.   0.   0.   0.   0.6  0.08 0.   0.
 0.1  0.   0.   0.   0.   0.44 0.   0.   0.   0.   0.   0.15 0.   1.09
 0.   0.   0.08 0.8  0.   0.   0.   0.   0.   0.   1.29 0.02 0.   0.
 0.   0.69 0.   0.   0.06 0.   0.   0.   0.21 0.   0.   0.   0.   0.8
 0.08 0.1  0.   0.15 0.04 0.   0.01 0.   0.12 0.52 0.   0.05 0.66 0.04
 0.   0.   0.   0.   0.   0.   0.   0.14 0.01 0.   0.   0.09 0.19 0.07
 0.   0.   0.01 0.08 0.51 0.   0.26 0.   0.   0.03 0.   0.   0.   0.
 0.   0.15 0.41 0.   0.   0.   0.16 0.   0.59 0.02 0.   0.   0.   0.11
 0.16 0.   0.   1.   0.43 0.6  0.   0.   0.   0.   0.01 0.74 0.31 0.
 0.   0.   0.35 0.48 0.   0.15 0.   0.   0.   0.   0.01 0.42 0.29 0.03
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.26 0.25
 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.12 0.01 0.65 0.   0.   0.14 0.35 0.1  0.   0.   0.
 0.   0.   0.   0.42 0.   0.   0.   0.76 0.   0.   0.12 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.05 1.09
 0.   0.   0.   1.03 0.03 0.03 0.   0.   0.   0.   0.   0.03 0.11 0.03
 0.07 0.   0.   0.   0.   0.7  0.   0.   0.   0.02 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.13 0.   0.
 0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.01 0.   0.   0.   0.   0.   0.   0.31 0.18 0.   0.02 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.12 1.04 0.01 0.
 0.48 0.21 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.63 0.02 0.   0.32 0.07 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.03 0.   0.   0.46 0.1  0.   0.   0.   0.   0.85 0.77
 0.   0.14 0.12 0.   0.   0.   0.14 1.26 0.36 0.34 0.   0.   0.   0.
 0.01 0.79 0.   0.01 0.   0.   0.02 0.03 0.   0.26 0.   0.02 0.   0.01
 0.   0.18 0.72 0.01 0.   0.   0.   0.   0.28 0.01 0.   0.   0.   0.
 0.58 0.05 0.61 0.   0.   0.   0.   0.   0.35 0.   0.   0.   0.   0.
 0.   0.64 0.51 0.   0.06 0.   0.   0.   0.   0.   0.05 0.   0.   0.
 0.   0.   1.35 0.44 0.   0.21 0.   0.14 0.   0.08 0.01 0.   0.   0.
 0.   0.   0.   0.04 0.   0.   1.34 0.   0.   0.   0.   0.   0.   0.
 0.75 0.   0.   0.   0.   0.05 0.   0.   0.   0.   0.31 0.   0.26 0.22
 0.03 0.17 0.   0.   0.16 0.   0.   0.16 0.   0.   0.38 0.   0.   0.
 0.24 0.   0.   0.   0.   0.2  0.   0.36 0.   0.   0.07 0.   0.   0.25
 0.63 0.   0.09 0.   0.   0.   0.   0.27 0.   0.26 0.47 0.06 0.   0.
 0.   0.   0.7  0.   0.   0.09 0.   0.32 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.   0.11 0.   0.   0.   0.   0.06
 0.   0.29 0.   0.   0.47 0.4  0.15 0.   0.   0.   0.   0.   0.02 0.
 0.   0.   0.   0.07 0.   0.05 0.01 0.02 0.05 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.03 0.   0.   0.17 0.   0.02 0.01 0.   0.1
 0.   0.   0.52 0.   0.   0.   0.   0.   0.   0.48 0.   0.   0.   0.01
 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.34 0.   0.12 0.1
 0.   0.   0.21 0.83 0.   0.   0.   0.05 0.   0.   0.   0.   0.   0.
 0.   0.   0.17 0.03 0.   0.   0.87 0.   0.   0.   0.   0.01 0.58 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.25 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.86 0.01 0.   0.   0.   0.   0.
 0.56 0.   0.   0.   0.   0.   1.15 0.07 0.   0.   0.   0.25 0.   0.
 0.02 0.   0.   0.   0.   0.   0.   0.1  0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.02 0.21 0.   0.   0.
 0.03 0.05 0.   0.   0.19 0.02 0.   0.   0.   0.08 0.51 0.03 0.   0.
 0.01 0.27 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.
 0.   0.13 0.17 0.74 0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.
 0.   0.65 0.   0.   0.   0.   0.   0.   0.   0.58 0.03 0.   0.   0.47
 0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02
 0.   0.01 0.72 0.   0.   0.04 0.08 0.   0.09 0.57 0.   0.   0.17 0.03
 0.   0.   0.   0.   0.   0.   0.   0.02 0.   2.42 0.   0.   0.29 0.
 0.   0.   0.   0.   0.   0.   0.46 0.69 0.   0.   0.88 0.16 0.   0.
 0.07 0.03 0.03 0.   0.   0.   0.   0.02 0.2  0.05 0.   0.   0.   0.
 0.   0.04 0.   0.   0.   0.02 0.32 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.02 0.06 0.   0.   0.04 0.   0.   0.   0.   0.   0.06 0.
 0.   0.   0.   0.   0.   0.06 0.16 0.09 0.14 0.41 0.05 0.   0.27 0.53
 0.   0.8  0.24 0.   0.06 0.   0.   0.   0.   0.43 0.08 0.   0.   0.11
 0.06 0.   0.   0.01 0.   0.   1.97 0.01 0.   0.3  0.   0.   0.1  0.
 0.18 0.71 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.36 0.   0.
 0.6  0.   0.02 0.   0.01 0.   0.   0.14 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.
 0.04 0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.56 0.   0.
 0.   0.   0.   0.   0.   0.1  0.05 0.49 0.   0.   0.   0.14 0.   0.
 0.   0.   0.   0.   0.   0.   0.43 0.03 0.   0.28 0.21 0.63 0.   0.
 0.   0.   0.   0.   0.15 0.   0.   0.   0.   0.   0.   0.   0.02 0.
 0.   0.01 0.45 0.   0.   0.   0.   0.   0.   0.   0.   0.   1.94 0.24
 0.   0.   0.   0.   0.02 5.54 0.1  0.   0.   0.   0.   0.12 0.   0.4
 0.   1.13 0.   0.   0.   0.02 0.   0.   0.   0.   0.04 0.   0.   0.
 0.   0.   0.26 0.   0.04 3.12 0.03 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.3  1.09 0.   0.05 0.25 0.   0.   0.02 0.13
 0.12 0.08 0.   0.   0.   0.   0.   0.21 0.   0.   0.   0.   0.   0.
 0.06 0.26 0.   0.9  0.   0.   0.   0.   0.   0.   0.03 0.02 0.01 0.01
 0.   0.   0.03 0.   0.44 0.2  0.   0.   0.   0.   0.   0.2  0.15 0.
 0.   0.74 0.05 0.   0.   0.05 1.25 0.   0.   0.   0.   0.   0.   0.17
 0.   0.02 0.24 0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.01
 0.   0.   0.   0.   0.   0.   0.   0.82 0.03 0.01 0.   0.05 0.   0.37
 0.   0.   0.   0.27 1.06 0.   0.   0.18 0.   0.   0.   0.   0.   0.
 0.   0.13 0.   0.06 0.05 0.   0.41 0.   0.   0.   0.01 0.14 0.   0.
 0.   0.   0.42 1.2  1.87 0.   0.   0.   0.   0.   0.14 0.   0.39 0.14
 0.28 0.   0.   0.   0.14 0.78 0.   0.   0.   0.   0.   0.02 0.59 0.
 0.   0.   0.   0.   0.   0.02 0.4  0.   0.   0.   0.04 0.   0.   0.
 0.   0.32 0.   0.67 0.13 0.01 0.   0.   0.15 0.   0.35 0.   0.28 1.08
 0.   0.   0.   0.   0.22 0.22 0.   0.17 0.65 1.17 0.01 0.   0.   0.78
 0.   0.   0.07 0.08 0.   0.   0.   0.01 0.   0.   0.   0.   0.03 0.32
 0.06 0.   0.   0.29 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.08 0.   0.   2.15 1.03 0.03 0.   0.2
 0.41 0.   0.23 0.   0.   0.   0.   0.51 0.   0.   2.08 1.11 0.   0.
 0.   0.   0.   0.76 0.36 0.   0.   0.1  0.19 0.28 0.   0.   0.   0.
 0.09 0.06 0.61 0.   0.88 0.   0.   0.14 0.09 0.24 0.   0.   0.   0.45
 0.14 0.79 0.   0.   0.   0.45 0.09 0.   0.   0.13 0.   0.   0.   0.
 0.   0.13 0.08 0.01 0.1  0.   0.14 0.9  0.4  2.13 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.26 0.   0.   0.   0.
 0.   0.29 0.   0.   0.   0.   0.41 0.01 0.   0.   0.   0.   0.   0.63
 0.23 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.11 0.   0.
 0.   0.   0.   0.   0.   0.93 0.   0.   0.   0.   0.   0.   1.43 0.
 0.   0.   0.   0.   0.   0.   0.7  0.   0.12 0.   0.   0.   0.   0.
 0.   0.   0.05 0.   0.   0.05 0.   0.09 0.17 0.   0.   0.   0.1  0.64
 0.01 0.34 0.   0.   0.   0.   0.32 0.   0.   1.46 0.   0.   0.   0.02
 0.11 0.   0.29 0.69 1.28 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.3  0.09 0.   0.12 0.08 0.02 1.29 0.05 0.   0.28 0.03 0.   0.07 0.02
 0.   0.15 0.09 0.   0.03 0.   0.   0.   0.   1.3  0.   0.   0.   0.
 0.   0.   0.   0.   0.18 0.01 0.   0.   0.   0.04 0.04 0.08 0.   0.
 0.52 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.6
 0.66 0.   0.   0.   0.   0.   0.   0.   0.08 0.11 0.   1.13 0.59 0.
 0.   0.   1.42 0.44 0.   0.   0.   0.01 0.33 0.   0.   0.   0.   0.
 0.02 0.   0.   0.1  0.   0.   0.   0.05 0.   0.   0.02 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   2.17 0.03
 0.   0.06 0.   0.   0.38 0.   0.   0.08 0.   0.   0.   0.   0.   0.
 0.   0.55 0.41 0.   0.   0.   0.01 0.   0.04 0.2  0.02 0.   0.03 0.22
 0.58 0.   0.   0.   0.89 3.99 0.04 0.   0.   0.08 0.31 0.   0.   0.
 0.   0.   0.   0.   0.   1.9  0.06 0.06 0.   0.   0.27 0.12 1.31 0.25
 0.   0.   0.   0.06 1.13 0.02 0.53 0.05 0.   0.   0.   0.   0.04 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.57 0.   0.   0.   0.   2.02 0.   0.   0.   0.   0.   0.   0.   0.69
 0.01 0.22 0.01 0.   0.   0.45 0.   0.   0.   0.   0.   0.   0.   0.
 0.31 0.   0.   0.   0.   0.   0.19 0.43 0.   0.57 0.   0.   0.   0.
 0.   0.   0.   0.8  0.   0.   0.   0.46 0.   0.   0.   0.12 0.55 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.   0.
 0.   0.   0.   0.   0.   0.   0.03 0.   0.   0.11 0.9  0.   0.   0.
 0.01 0.   0.   0.   0.   0.   0.   0.   0.62 0.   0.   0.   0.   0.
 0.52 0.   0.   0.01 0.   0.   0.   0.   0.   0.04 0.   0.   0.   1.38
 0.02 0.22 1.22 0.   1.27 0.   0.   0.01 0.05 0.05 1.09 0.05 0.   0.
 0.   0.   0.13 0.03 0.   0.   0.08 0.11 0.   0.07 0.23 0.   1.78 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.51 0.47 0.   0.   0.   0.
 0.   0.   0.29 0.39 0.   0.   0.   0.12 0.14 0.   0.   0.15 0.   0.
 0.   0.   0.   0.09 0.09 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.01 0.   0.   0.   0.   0.22 0.12 0.   0.   0.   0.   0.12 0.43
 0.02 0.06 0.   0.45 0.   0.   0.   0.   0.   1.64 0.18 0.   0.   0.
 0.   0.   0.   0.   0.   0.18 0.06 0.   0.   0.41 0.07 0.   0.   0.
 0.   0.   0.13 0.13 0.   0.   0.   0.31 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.15 0.   0.   1.17 1.63 0.   0.
 0.   0.12 0.09 0.   0.   0.02 0.   0.01 0.36 0.   0.   0.   0.   0.31
 0.   0.   0.   0.   0.   0.34 0.   0.23 0.77 0.   0.   1.8  0.05 0.08
 0.   0.   0.   0.01 0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.39
 1.33 0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.01 0.92 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.93 0.1  0.   0.
 0.01 0.   0.   0.47 0.   0.   0.   0.   0.36 0.79 0.05 0.   0.   0.07
 0.   0.   0.   0.1  0.   0.28 0.   0.   0.   0.   0.   0.   0.   0.7
 0.03 0.   0.   0.77 0.   0.   0.22 0.   0.9  0.13 0.   0.   0.   0.11
 0.88 0.   0.32 0.12 0.   0.53 0.   0.   0.04 0.3  1.16 0.82 0.   0.34
 0.04 0.09 0.   0.47 0.49 0.   0.   0.   0.02 0.26 0.   0.   0.   0.
 0.63 0.   0.06 0.1  0.   0.   0.   0.   0.   0.   0.   0.37 0.   0.
 0.   0.   0.   0.   0.11 3.32 2.96 0.   0.11 0.   0.12 0.   0.   0.
 0.   0.   0.   0.   0.   0.88 0.3  0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.52 0.   0.   0.   0.8  0.25 0.   0.   0.   0.   0.43 0.
 0.   0.01 0.   0.02 0.   0.   0.   0.   0.   0.   0.1  0.36 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.6  0.07 0.   1.21 0.23
 0.17 0.02 0.23 0.02 0.   0.17 0.   0.21 0.   0.   0.   0.   0.47 0.18
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.
 0.   0.   0.23 1.09 0.   1.3  0.26 0.   0.   0.47 0.01 0.   0.   0.03
 0.01 0.   0.   1.44 0.   0.01 0.25 1.54 0.06 0.   0.   0.16 0.16 0.
 0.   0.04 0.   0.   0.03 0.13 0.   0.   0.   0.   0.14 0.   0.   0.
 0.   0.02 0.02 0.   0.16 0.09 0.   0.   0.   0.03 0.   0.   0.   0.
 0.   0.   0.   0.37 0.89 0.1  0.   0.02 0.   0.   0.   2.63 0.   0.
 0.   0.13 0.38 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.38 0.01 0.   0.   0.   0.   0.   0.   0.35
 0.12 0.   0.   0.   0.   0.44 0.   0.48 0.02 0.66 0.07 0.   0.   0.39
 0.   0.   1.07 0.   0.19 0.03 1.93 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.08 0.17 0.   0.   0.   0.   0.9  0.   0.   0.02
 0.35 0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.
 0.03 0.   0.   0.   0.53 0.36 0.05 0.   0.02 0.56 0.1  0.11 0.02 0.
 0.39 0.04 0.03 0.13 0.93 0.   0.   0.   0.   0.   0.   0.   0.1  0.15
 0.17 0.28 0.01 0.   0.   0.   0.   0.06 0.   0.   0.01 0.05 0.   0.65
 0.   0.   0.45 0.   0.   0.   0.   0.34 0.   0.   0.   0.   0.   0.11
 0.   0.02 0.   0.   0.   0.   0.   1.06 0.09 0.   0.   0.   0.   0.13
 0.   0.   0.   0.   0.   0.   0.   0.   0.35 0.   0.   0.   0.38 0.
 0.05 0.09 0.   0.   0.   0.01 0.   0.04 0.   0.   0.   0.01 0.   0.
 0.   0.   0.   0.06 0.   0.   0.19 0.   0.   1.95 0.   0.   0.   0.03
 0.   0.   0.02 0.07 0.   0.   0.05 0.01 0.   0.   0.   0.   0.14 0.34
 0.   0.   0.   0.   0.   0.   0.   0.39 0.   0.   0.   0.   0.   0.
 0.   0.   0.81 0.   0.   0.   0.   0.   0.42 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   1.1  0.   0.   0.   0.   0.   0.12 0.66
 0.07 0.   0.11 0.   0.   0.   0.   0.   0.   0.   0.01 0.1  0.6  0.
 0.   0.   0.   0.   0.26 0.52 0.27 1.66 0.05 0.69 0.   0.   0.   0.17
 0.68 0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.   0.   0.   0.07
 0.04 0.   0.   0.   0.   0.01 0.   0.25 0.74 0.   0.   0.05 0.31 0.73
 0.   0.   0.   0.05 0.24 0.21 0.12 0.   0.   0.   0.   0.   0.   0.
 0.68 0.   0.   0.99 0.15 0.   0.   0.   0.   0.   0.   0.   0.   0.26
 0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.29 0.01 0.21 0.   0.
 0.04 0.   0.   0.   0.   0.   0.   0.65 0.   1.11 0.43 0.   0.   0.
 0.   0.84 0.01 0.   0.   0.05 0.   0.   0.15 0.   0.7  0.34 0.   0.
 0.04 1.01 0.   0.   0.   0.68 0.64 0.   0.   1.05 0.   0.   0.   0.2
 0.17 0.   0.   0.02 0.   0.   0.   0.97 0.   0.   0.   0.07 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.12 0.04 0.   0.   1.44 0.75 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.
 0.   0.05 0.   0.03 0.   0.16 0.35 0.   0.   0.02 0.06 0.   0.   0.14
 0.   0.95 0.   0.02 0.   0.   1.66 0.   0.   0.89 0.   0.   0.   0.
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.31 0.16 0.   0.   0.05
 0.   0.   0.   0.   0.   0.   0.   0.   0.12 0.97 0.11 0.32 0.   0.
 0.   0.   0.   0.71 0.   0.   0.   0.03 0.   0.   0.   0.   0.   1.56
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.28 0.
 0.   0.   0.   0.61 0.   0.   0.   0.   0.   0.3  0.67 0.   0.   0.64
 3.   0.13 2.1  0.   0.74 0.07 0.   0.   0.   0.   0.   0.   0.11 0.
 0.   0.   0.   0.   0.   0.   0.39 0.   0.   0.   0.   0.   0.   0.
 4.16 1.8  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01
 0.   0.6  1.76 0.58 3.76 0.   0.   0.08 0.04 0.   0.01 0.5  0.   0.
 0.   0.   0.01 0.   0.01 0.   0.   0.   0.18 0.   0.   0.   0.03 0.03
 0.   0.   2.16 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   1.48 0.24 0.   0.   0.   0.   0.   0.02 0.84 0.48 0.24 0.
 0.   0.   0.41 0.   0.   0.   0.   0.   0.   0.   0.17 0.   0.   0.
 0.06 0.   0.02 0.   0.   0.28 1.06 0.   0.53 0.   1.55 0.   0.   0.
 0.   0.   0.   0.6  0.3  0.01 0.01 0.   0.   0.   0.   0.09 0.05 0.
 0.   0.   0.   0.06 0.   0.   0.   0.06 0.   0.05 0.   0.01 0.   0.52
 0.   0.   0.64 0.   0.3  0.26 0.   0.   0.   0.48 0.01 0.17 0.01 0.13
 0.08 0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.09 0.03 0.   0.
 0.16 0.   0.   0.   0.   0.05 1.55 0.   0.   0.33 0.02 0.   0.   0.
 0.   0.   1.13 0.   0.   0.   0.17 0.01 1.64 0.   0.   0.   0.48 0.05
 0.   0.46 0.   0.01 0.   0.   0.04 0.9  0.   0.28 0.   0.   0.16 0.
 0.   0.18 0.51 0.   0.74 0.1  0.02 1.2  0.02 0.   0.   0.   0.34 0.
 0.   0.   0.   0.   0.   0.   0.06 0.   0.   0.13 0.   0.31 0.   0.
 0.03 0.   0.   0.   0.   0.   0.97 0.   0.08 0.64 0.   0.   0.   0.74
 0.   0.73 0.18 0.11 0.   0.   0.   0.   0.   0.   0.06 0.05 1.08 0.11
 0.   0.   0.6  0.08 1.16 0.04 0.   0.   0.   0.91 0.66 0.   0.1  0.
 0.19 2.03 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 1.3  0.12
 0.06 0.   0.44 0.   0.01 0.11 0.   0.   0.19 0.   0.   0.01 0.   0.
 1.31 0.42 1.37 0.99 0.   0.21 1.19 0.46 0.   0.93 0.09 0.   0.   0.68
 0.71 0.   0.   0.23 0.   0.16 0.   0.   0.16 0.   0.   0.   0.   3.16
 0.   0.   0.02 0.   0.   0.   0.19 0.52 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.1  0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.82 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.04 0.95 0.08 0.01 0.   0.   0.   0.   0.09 0.24 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.27 0.   0.   0.   0.   0.21 0.03 0.   0.
 0.   0.   0.   0.   0.   0.05 0.   0.26 0.18 0.   0.   0.   0.   0.
 0.29 4.09 0.05 0.   0.   0.   0.17 0.   0.   0.01 0.   0.   0.1  0.53
 0.   0.   0.   0.   0.   0.   0.   0.   0.99 0.04 0.   0.   0.02 0.53
 0.   0.23 0.16 0.   0.   5.6  0.   0.   0.6  0.   0.   2.23 0.01 0.
 0.   0.   0.44 0.76 0.   0.   0.   0.   0.06 0.89 0.   0.03 0.   0.85
 0.12 0.   0.   0.13 0.01 1.04 0.   0.84 0.07 0.22 0.   0.05 0.02 0.
 0.88 0.04 0.   0.   0.   0.26 0.33 1.19 0.26 0.   0.   0.22 0.01 0.
 0.   0.04 0.36 0.03 0.   0.02 0.69 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.35 0.03 0.   0.57 0.   0.   0.
 0.   1.49 0.55 0.8  0.   0.   0.21 2.98 0.   0.   0.   0.07 0.13 0.25
 0.   0.   0.   0.   0.   0.26 0.56 0.09 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.29 0.22 0.   0.03 0.   0.65
 0.   0.   0.02 0.08 0.   0.04 0.09 0.18 0.33 0.03 0.   0.   0.   0.
 0.   0.   0.2  1.35 0.   0.   0.   0.08 0.01 1.61 0.41 0.02 1.49 0.
 0.   0.01 1.01 0.01 0.82 0.   0.   0.   0.   0.   0.   0.   0.   0.02
 0.   0.   0.   0.47 0.   0.08 1.34 0.76 0.   0.   0.   0.02 0.   0.45
 0.   0.   0.   0.   0.23 0.71 0.02 0.06 0.05 0.   0.   0.39 0.   0.19
 0.11 0.   0.39 0.15 0.   0.76 0.05 0.04 0.   0.1  0.59 0.02 0.18 0.
 0.1  0.   0.   0.21 0.   0.   0.   0.   0.01 0.   0.   0.02 0.64 0.
 0.   0.15 0.   0.07 0.04 0.   0.33 1.85 0.   0.   0.   0.   0.09 0.09
 0.47 0.48 0.   0.   0.03 0.03 1.23 0.   0.   0.   0.   0.   0.24 0.
 0.05 0.   1.54 0.   0.   0.   0.   1.73 0.76 0.01 0.   0.   0.   0.27
 0.   0.   0.   0.   0.   0.03 2.49 0.05 0.   0.   0.   0.   0.   0.
 0.   0.   0.03 0.   0.   0.22 0.   0.   0.   0.   0.   0.01 0.18 0.
 0.   0.   0.   0.   0.   0.   0.   0.07 0.25 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   1.62 0.05 0.   0.   0.17 0.   0.
 0.   0.   0.24 0.   0.   0.   0.   0.   0.42 0.   0.   0.03 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   3.67 0.22 0.   0.26
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.06 0.   0.   0.01 0.   0.03 0.01 0.   0.28 0.28 0.   0.41 0.48 0.
 0.   0.   0.   0.   0.   1.15 0.   0.   0.   2.19 0.   0.   0.   0.32
 0.68 0.   0.4  1.05 0.   0.   0.16 2.49 0.   0.   0.   0.   1.19 0.
 0.02 0.   0.04 0.29 0.05 0.   0.55 0.16 0.   0.   0.   0.   0.57 0.31
 0.56 0.   0.   0.   0.   0.   0.   0.   0.08 0.   1.05 0.   0.   0.
 0.   0.05 0.16 0.26 0.   0.   0.   0.   0.13 0.09 0.01 0.   0.11 0.06
 0.24 0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.39 0.   0.
 0.22 0.   0.   0.22 0.   0.   0.   0.07 0.05 0.   0.   0.   0.   0.
 0.55 0.22 0.   0.   0.   0.   0.   0.   0.83 0.   0.   0.   0.   2.
 0.   0.   0.   0.   0.   0.   0.   0.78 1.08 0.18 0.   0.08 0.   0.61
 0.43 0.   0.   0.16 1.38 0.05 0.   0.   0.43 0.28 0.   0.   0.   0.
 0.28 0.   0.   0.03 0.07 0.   0.   0.   0.   0.   0.03 0.   0.   0.
 0.61 0.   0.   0.21 0.   0.   1.25 0.58 0.   0.55 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.2  0.79 0.   0.01 0.   0.   0.08 0.
 0.01 0.5  0.25 0.03 0.   0.   0.   0.   0.01 0.   0.   0.   0.01 0.
 0.   0.   0.48 0.21 0.   0.   0.   0.51 0.   0.7  0.07 0.08 0.01 0.03
 0.13 0.01 0.26 0.13 0.   0.   0.   0.47 0.03 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.54 0.
 0.   0.   0.   0.   0.15 0.   0.   0.44 0.   0.4  0.01 0.   0.17 0.
 0.28 0.   0.   0.   0.   0.   0.   0.   2.86 0.   0.   0.   0.   0.
 0.38 0.04 0.   0.   0.23 0.83 0.26 0.09 0.   0.7  0.18 3.26 0.05 0.
 0.46 1.04 0.   0.   0.   0.   0.   0.37 0.13 0.   0.   0.   0.   0.
 0.   0.08 0.   0.   0.   0.01 0.   0.   1.35 0.42 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.2  2.15 0.
 0.   0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.01 0.15
 0.   0.   0.   0.   0.08 0.01 0.   0.   0.   0.   0.   0.44 0.04 0.
 0.02 0.   0.   0.   0.   0.25 0.04 0.   0.   0.   0.06 0.   0.   0.
 0.   0.   0.42 2.16 0.   0.   0.   0.   0.08 0.91 0.   0.   0.   0.
 0.   0.   0.   2.25 0.   0.   0.   0.   0.   0.01 0.   0.   0.19 0.
 0.   0.   0.   0.   0.31 0.03 0.   0.01 0.   0.   0.12 0.49 0.03 0.8
 0.   0.08 0.03 0.78 0.   0.   0.   0.   0.66 0.29 0.2  0.   0.   0.
 0.   0.66 0.   0.   0.   0.58 0.   0.   0.   0.   0.   0.   0.41 0.05
 0.   0.   0.02 0.   0.   0.74 0.01 0.   0.   0.04 0.31 0.02 0.12 0.
 0.   0.   0.37 1.21 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.14 0.   0.   0.07 0.   0.66 0.   0.49 0.01 0.   0.   0.   0.87 0.21
 0.   0.07 0.   0.27 0.   0.   0.   0.   0.08 0.45 0.   0.   0.   1.02
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.16 0.   0.
 0.02 0.03 0.   0.   0.   0.02 1.02 0.77 0.   0.   0.   0.   0.   0.08
 0.1  0.   1.   0.06 0.18 0.05 0.   0.   0.   0.   0.03 1.03 0.   0.
 0.69 0.   0.   0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.   0.
 0.07 0.   1.73 0.   0.39 0.   1.27 0.63 0.   0.   0.   0.   0.   1.98
 0.05 0.   0.   0.86 0.   0.   0.17 0.   0.   0.   0.   0.18 0.   0.
 0.   0.17 0.15 0.   0.   0.   0.04 0.   0.   1.78 0.62 0.   0.67 0.04
 0.   0.28 1.65 0.18 1.8  0.   0.34 0.   0.   1.74 0.14 0.   0.   1.06
 1.43 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.24 0.   0.19 0.06
 0.   0.   0.   0.02 0.   0.32 0.   0.   0.25 0.02 0.   0.   0.   0.
 0.   0.   0.94 0.46 0.07 0.   0.   0.05 0.43 0.   0.   0.   0.   0.
 0.   0.03 0.   0.   0.   0.   0.   0.34 0.   0.   0.   0.   0.   0.
 0.41 0.17 0.31 0.61 2.3  2.26 1.05 1.82 0.02 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.05 0.   0.37 0.   0.11 0.   0.   0.
 1.03 1.22 0.35 0.11 0.   0.   0.   0.   0.41 0.   0.   0.   0.   0.05
 0.   0.   0.   0.   0.   0.   0.   0.   0.61 0.   0.3  0.   1.82 0.36
 0.   0.   0.   0.   0.   0.   0.   0.79 0.   0.   0.   0.   0.   0.45
 0.   0.   0.   0.06 0.   0.   0.   0.   0.02 0.   0.   0.33 0.36 0.
 0.   0.01 0.   0.01 0.03 0.   0.   0.   0.   0.   0.18 0.   0.   0.17
 1.66 0.   0.   0.   0.62 0.18 0.47 0.   0.21 0.   0.   0.   0.89 0.28
 0.   0.   0.36 0.   0.37 0.06 0.   0.04 0.   0.   0.   0.03 0.18 0.
 0.   0.   0.   0.68 1.94 0.27 0.   0.   0.   0.82 0.63 0.   0.   0.24
 0.2  0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.12 0.11 0.39 0.07
 0.   0.   0.52 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.12
 0.04 0.   0.   0.   0.49 0.02 0.14 0.37 0.63 0.   0.   0.83 0.   0.
 0.   0.   0.06 0.   0.   0.   0.   0.   0.03 0.01 0.   0.   0.25 1.51
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.22 0.   0.01 0.96 0.07 0.   0.   0.
 0.   2.48 0.   0.02 0.   0.   0.   0.16 0.   0.   0.   0.37 0.44 0.
 0.   0.   0.05 0.03 0.26 0.55 0.   0.18 0.   0.   0.   0.   0.   0.07
 0.   0.05 0.11 0.   0.54 0.06 0.   0.   0.   0.17 0.   0.   0.   0.
 0.   0.   0.   0.   0.01 0.   0.93 0.   0.   0.   0.02 0.16 0.   0.
 0.01 0.   0.   0.08 0.53 0.27 0.   0.   0.01 0.01 0.   0.   0.25 0.
 0.   0.   0.   0.   0.01 0.   0.   0.54 0.25 0.   0.   0.   0.01 0.
 0.19 0.   0.   0.   0.   0.   0.03 0.   0.12 0.   0.   0.   0.   0.
 0.06 0.   0.93 3.9  0.38 0.   0.   0.   0.41 0.43 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.01 0.4  0.   0.   0.   0.   0.   0.18
 0.   0.   0.   0.   0.   0.   0.   0.59 0.   0.   0.   0.   0.   0.97
 0.81 0.   0.   0.02 0.   0.   0.   0.   0.   0.2  0.18 0.02 0.   0.18
 0.19 0.01 0.52 0.   0.02 0.   0.   0.15 1.16 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   1.82 0.   0.   0.   0.2  0.19 0.3  0.   0.
 0.   0.06 0.69 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.32 0.   0.   0.   0.   0.   0.   0.   1.32 0.   0.
 0.   0.   0.14 0.   0.   0.   0.03 0.   0.   0.   0.25 0.   0.   0.
 0.   0.06 0.36 0.   0.13 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.26 0.   0.06 1.24 0.   0.   0.   0.45 0.   0.06 0.   0.   0.   0.
 0.   0.   0.   0.13 0.03 0.   0.   0.02 0.   0.   0.   0.   0.   0.08
 0.01 0.19 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.
 0.   0.   0.36 0.   0.   0.   1.69 0.06 0.   0.1  0.   0.   0.   0.
 1.65 0.   0.   0.   0.   0.   0.   0.   0.   1.45 0.05 0.   0.   0.
 0.6  0.   0.1  0.   3.44 0.   0.   0.   0.   0.   0.12 0.   0.   0.
 0.   0.97 0.   0.77 1.2  0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.63 0.   0.1  0.02 0.06
 0.   0.   0.   0.   0.   0.18 0.41 0.47 0.   0.1  0.31 0.   0.   0.
 0.   0.   0.   0.   0.   0.16 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.08 0.   0.16 0.   0.02 0.   0.   0.21 0.14 0.   1.68
 0.35 0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.3  0.   0.   0.
 0.   0.68 0.   0.   0.28 0.   0.   0.   0.   0.   0.   0.   0.04 0.03
 0.1  0.   0.   0.   0.69 0.   0.   0.   0.   0.   0.   0.   0.06 0.
 0.   0.   0.   0.48 0.   0.   0.   0.   0.2  0.   0.7  0.   0.48 0.
 0.   0.03 0.3  0.15 0.   0.07 0.   0.   0.88 0.23 0.   0.   0.28 0.
 0.   0.   0.   1.28 0.   0.17 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.05 0.   0.   0.   0.02 0.17 0.   0.   0.   0.06 0.
 0.93 0.2  0.   0.   0.32 0.   0.03 0.26 0.85 1.45 0.33 0.05 0.03 0.
 0.   0.26 0.07 0.   0.   0.   0.08 0.   0.23 1.73 0.   0.   0.   0.
 0.66 0.42 0.   0.1  0.   0.5  0.84 0.   0.   0.   0.   0.   0.14 0.
 0.   0.   0.   0.   0.   0.   0.07 0.1  0.   0.   1.79 7.4  0.   0.37
 0.   0.   0.   0.   0.   0.01 0.54 0.   0.   0.   0.06 0.02 0.52 0.
 0.29 0.51 0.02 0.   0.18 0.38 0.73 0.   0.   0.   0.88 0.   0.   0.
 0.1  0.   0.   0.   0.14 1.01 0.   0.   0.   0.95 0.   0.07 1.14 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.08 0.   0.   0.   0.
 0.   0.   0.49 0.65 0.   0.   0.   1.   0.37 0.   0.   0.56 1.37 0.22
 1.28 0.   0.   0.   0.   1.8  0.45 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.89 0.24 0.   0.   0.   0.   0.   0.11 0.26 0.   0.
 0.   0.06 0.   0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.
 0.64 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.25 0.   0.3
 0.   0.   0.   0.   0.03 0.02 0.   0.06 0.   0.62 0.81 0.   0.   0.
 0.   0.   0.   0.01 0.   0.13 0.04 0.07 0.   0.   0.   0.11 0.   0.
 0.   0.   0.   0.03 0.   1.96 0.03 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.17 0.09 0.   0.01 0.21 0.51 0.   0.
 0.   0.   3.38 0.2  0.75 0.04 0.38 0.   0.   0.   0.   0.   2.07 0.24
 0.   0.   0.   0.   0.   1.1  0.   0.   0.36 0.15 0.   0.   0.13 0.4
 0.01 0.   0.   0.   0.11 0.   0.   0.   0.   0.   0.22 0.   0.1  0.
 0.   0.   0.   0.21 0.   0.   0.   0.   0.   0.   1.72 1.19 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.92 0.06 0.13 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.09 0.02 0.   0.   0.35 0.09 0.01 0.63
 0.2  0.11 1.78 0.99 0.1  0.   0.   0.06 0.65 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.41 0.   0.   0.47
 0.47 0.   0.   0.   0.   0.   0.   0.39 0.   0.   0.11 1.36 0.   0.
 0.28 0.18 0.03 0.09 0.93 0.   0.   0.22 0.   0.   0.   0.   0.   0.
 0.   0.   0.13 0.   0.   0.19 0.01 0.38 0.   0.   0.   0.   0.   0.
 0.   0.16 0.   0.01 0.   0.   0.03 0.   0.   0.   0.04 0.   0.   0.36
 0.19 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.05 0.47 0.47 0.   0.   0.   0.   0.77
 0.15 0.   0.   0.5  0.02 0.34 0.08 0.   0.   0.02 0.23 0.19 0.   0.
 0.75 1.79 0.   0.   0.   0.   0.   0.   0.   0.2  0.   0.   0.3  0.48
 0.   0.   0.69 0.79 0.   0.   0.   0.   0.   0.17 0.13 1.01 0.   0.
 0.   0.34 0.96 0.8  0.   0.   0.   0.05 0.57 0.   0.   0.   0.2  0.
 0.   0.53 3.45 0.   0.   2.18 0.15 0.15 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.39 0.   0.   0.   0.   0.1  0.   0.   0.01
 0.13 0.   0.   0.85 0.   0.25 0.   0.13 1.54 0.27 0.81 0.1  0.   0.
 0.02 0.   0.   0.14 2.63 0.11 0.   0.   0.05 0.75 0.   0.   0.02 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.37 0.   0.   0.   0.   0.21
 0.   0.1  0.   0.26 0.09 0.12 0.   0.   0.   0.28 0.68 0.02 0.   0.
 0.   1.1  0.03 0.24 0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.84
 0.19 0.17 0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.   0.   0.
 0.   0.21 0.23 0.36 0.   0.   0.   0.32 0.73 0.01 0.   0.   2.7  0.35
 0.57 0.01 0.   0.2  0.1  0.29 0.12 0.   0.   0.39 0.26 0.09 0.   0.
 0.   0.   0.02 0.32 0.   0.   0.   0.   0.   0.31 0.08 0.   0.   0.
 0.03 0.   0.   0.   0.   0.   0.02 0.   0.04 0.15 0.   0.   0.16 0.
 0.   0.   0.   0.   0.02 0.03 0.01 0.   0.   0.   0.   0.   1.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.39 0.   0.   0.   0.05
 0.05 0.02 0.   0.1  0.   0.   0.   0.23 0.87 1.68 0.   0.   0.   0.
 0.   0.26 0.01 0.   0.   0.   0.   0.31 0.01 0.09 0.23 0.19 0.17 0.
 0.   0.   0.05 0.05 0.   0.07 1.22 0.   0.   0.   0.   0.   0.   0.
 0.36 0.   0.   0.   0.   0.01 0.   1.88 0.39 0.   0.   0.   0.   0.
 0.   0.09 0.71 0.81 0.   0.42 0.   0.91 0.   0.06 0.   0.46 0.85 0.
 0.14 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.22 0.   0.   0.   0.   0.16 0.91 0.   0.   0.   0.   0.
 0.   0.2  0.53 0.11 0.06 0.01 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.14 1.26 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.5
 0.03 0.01 0.   0.   0.   0.   0.63 0.   0.   0.15 0.   0.   0.3  0.
 0.   0.   0.   0.2  0.87 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.07 0.   0.   0.   0.   0.   0.81 0.2  0.   0.01 0.   0.   0.
 0.44 0.11 0.   0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.74 0.   0.   0.   0.   0.   0.3  0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.1  0.   0.   0.48 0.   0.56 0.45 0.   0.75
 0.52 0.   0.   0.12 0.39 0.   0.   2.21 1.04 0.   0.42 0.42 0.   0.
 0.   0.92 0.01 2.02 0.01 0.   0.   0.64 0.   0.   0.   0.   3.42 0.04
 0.   0.01 0.   0.91 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.03 0.   0.33 2.74 0.11 0.01 0.   0.   0.01 0.   0.   0.   0.26 0.5
 0.   0.   0.05 0.32 0.21 0.02 0.   0.   0.   0.15 0.   0.   0.72 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.09 0.01 0.06 1.08 0.   0.
 0.01 0.72 0.59 0.63 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.7  0.03 0.   0.26 0.38
 0.   0.25 0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.03 0.27
 0.   0.   0.   0.   0.28 0.07 0.   0.   0.24 0.   0.   3.47 0.   0.
 0.   0.24 0.08 0.   0.02 0.   0.   0.   0.   0.   0.45 0.04 0.   0.
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.3  0.   0.18 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.03 0.   0.   0.91 0.62 0.   0.   0.   0.   0.   0.   0.16
 0.08 0.   0.   0.   0.   0.   0.51 0.53 0.   0.   0.   0.01 0.   0.
 0.04 0.09 0.   0.   0.   0.   0.   0.   0.82 0.   0.   0.   0.   0.
 0.   1.76 0.   0.   0.1  0.   0.   0.   0.   0.   0.   0.32 0.   0.
 0.03 0.01 0.18 0.   0.   0.   0.   0.   0.   0.   0.31 0.66 0.   0.
 0.   0.   0.   0.9  0.   0.   0.02 1.68 0.   0.   0.   0.02 0.   0.
 0.   0.   0.01 0.   0.18 0.   0.   0.   0.   0.   0.09 0.01 0.   0.
 0.   0.   0.   0.   0.16 0.1  0.   0.   0.   0.01 0.   0.   0.   0.
 0.   0.03 0.   0.   0.08 0.41 0.   0.   0.   0.   0.   0.   0.   0.
 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.03 0.77 0.   0.   0.   0.   0.   0.17 0.   0.   1.09 0.01
 0.   0.   0.   0.   0.   0.   0.85 1.77 0.02 0.03 0.96 0.11 0.   0.1
 0.   0.13 0.   0.   0.   0.   0.65 0.   0.02 0.01 0.   0.   0.12 0.
 0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.04 0.   0.   0.31 0.   0.37 0.05 0.   0.01 0.71 0.06 0.   0.   0.06
 0.   0.04 0.2  0.07 0.87 0.   0.   0.01 0.   0.   0.   0.   0.   0.62
 0.08 0.   0.   0.   0.25 0.02 0.   0.   0.51 0.   0.   0.   0.   0.
 0.   0.   0.   1.67 0.23 0.   0.   0.69 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.3  0.14 0.   0.02 0.   0.72 0.1  0.
 0.   0.   0.   0.   0.12 0.05 0.   0.   0.   0.33 0.03 0.   0.   0.
 0.   0.21 0.49 0.01 0.   0.   0.65 0.   0.   0.   0.   0.   0.75 0.03
 0.35 1.76 0.06 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.03 0.84 0.56 0.   0.   0.   0.   0.1  1.65 0.01 0.07 0.
 0.   0.   0.   0.   0.   0.01 0.   0.   0.2  0.   0.   0.   0.01 0.
 0.   0.28 0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.01 0.04 0.   0.   0.   0.   0.   0.06 1.55 0.   0.
 0.   0.   0.   0.   0.51 1.19 0.02 0.05 0.   0.   0.   0.03 0.   0.
 0.   0.   0.   0.   0.   0.   0.43 0.15 0.   0.   0.   0.18 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.6  0.   0.   0.   0.
 0.95 0.   0.08 0.65 0.45 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.81 0.   0.   0.01 0.   0.   0.   0.   0.   0.09 0.03 0.28 0.   0.
 0.46 0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   1.12 0.49 0.
 0.   0.   0.   0.   0.29 0.   0.   0.01 0.02 0.   1.02 1.34 0.43 0.01
 0.   0.   0.   0.   0.   0.09 0.   0.   0.   0.3  0.   0.   0.   0.06
 1.   0.   0.   2.73 0.   0.   0.   0.   0.01 0.   0.   0.   0.71 0.21
 0.   0.   0.   0.   0.   0.01 0.01 0.   1.26 0.   0.   0.   0.   0.
 0.   0.   0.52 0.28 0.39 1.15 0.   0.   0.   0.   0.   0.14 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.4  0.   0.   0.   0.   0.01 0.
 0.   0.   0.   0.   0.   0.   0.53 0.   0.24 0.81 0.   0.03 0.01 0.02
 0.04 0.02 0.   0.   0.21 0.06 0.   0.   0.   0.07 0.   0.   0.   0.
 0.04 0.   0.   0.   0.   0.48 0.   0.   1.86 0.   0.   1.11 0.   0.
 0.   0.   0.   0.   0.04 0.   0.   0.   0.32 0.31 0.   0.   0.   0.
 0.   0.   0.   1.32 0.41 0.3  0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.35 0.   0.   0.   0.   0.01 0.   0.   0.05
 0.   0.1  0.61 0.08 0.17 0.   0.   0.34 0.68 0.   0.04 0.02 0.03 0.01
 0.04 0.8  0.86 0.03 0.   0.   0.   0.   0.   1.65 0.11 0.   0.81 0.09
 0.   0.   0.   0.   0.1  0.08 0.   0.   0.   0.   0.   0.49 0.   0.
 0.   0.17 0.   0.   0.   0.   0.   0.   0.   0.01 0.01 0.   0.   0.
 0.   0.   0.   0.   0.77 0.   0.   0.   0.   0.   0.   0.   2.18 0.
 0.   0.   0.   0.   0.   0.   0.57 0.   0.   0.   0.68 0.   0.21 0.19
 0.   0.   0.   0.   0.4  0.   0.   0.   0.   0.   0.75 0.   1.86 0.
 0.   0.   0.   0.   0.   0.1  0.43 0.05 0.   0.   0.   0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.41 0.   0.24 0.16
 0.   0.   0.02 0.35 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.43 0.   0.   0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.2
 0.   0.   0.   1.23 0.37 0.   0.   0.   0.   0.   0.   0.   0.   0.02
 0.57 0.   0.   0.   0.   0.   0.   0.1  1.61 0.   0.03 0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.01 0.   0.4  0.69 0.   0.38 0.
 0.   0.   0.   0.1  0.   0.   0.   0.   0.01 0.19 0.   0.   0.   0.45
 0.   0.   0.   0.   0.   0.   0.04 0.05 0.02 0.   0.08 0.12 0.02 0.
 0.01 0.   0.   0.   0.   0.72 0.21 0.   0.   0.   0.9  0.36 0.   0.
 0.   0.65 0.13 0.   0.   0.   0.   0.   0.   1.68 0.   0.   0.   0.
 0.   0.   0.36 0.   0.   0.24 0.7  0.   0.   0.26 0.47 0.   0.   0.
 1.25 0.24 0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.42 0.2  0.   0.04 0.07 0.   0.54 0.93 0.06 0.82
 0.74 0.51 0.   0.   0.   0.   0.   3.1  0.27 0.   1.09 0.   0.   0.
 0.   0.   1.67 0.08 0.   0.   0.   0.   0.   1.9  0.   0.   0.   0.09
 1.27 0.01 4.31 0.   0.   0.   0.   0.01 3.29 0.   0.   1.09 0.   0.
 0.   0.   1.47 0.57 0.   0.   0.   0.   0.   0.   0.   0.   0.35 0.
 0.   0.   0.07 0.   0.   0.   0.   0.   0.   0.11 0.57 0.   0.   0.12
 0.14 0.25 1.06 0.   0.01 0.   0.42 0.18 0.   0.21 1.11 0.   0.   0.
 0.16 0.56 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.45 0.06 0.12 0.   0.   0.   0.   0.   0.   1.46 0.   0.
 0.   0.   0.   0.   0.19 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.12 0.   0.   0.12 0.21 0.   2.26 0.   0.   0.45 0.   0.   0.   0.
 0.   0.05 0.   0.07 0.   0.   0.   0.   0.96 0.   0.   0.   0.   2.39
 0.35 0.   0.   0.   0.   0.   0.62 0.   0.   0.   0.   0.   0.   0.
 0.   0.   2.79 0.06 0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.37 0.   0.   0.   0.   0.1  0.   0.   0.   1.32 0.19
 0.   0.   0.   0.   0.   0.   0.   2.64 0.17 0.38 0.   0.   0.76 0.
 0.   0.   0.   0.   0.   3.4  0.12 0.   0.   0.   0.   0.15 0.67 0.
 0.   0.   1.87 1.08 0.   0.03 0.   0.   0.   0.   0.   0.   0.   0.08
 0.01 0.   0.   0.   0.   0.   1.37 0.09 0.01 0.   0.   1.43 0.29 0.
 0.   0.   0.02 0.83 0.   0.01 0.44 1.36 0.   0.   0.71 0.03 0.   0.
 0.06 0.13 1.84 0.   0.56 0.   0.   0.   0.   0.   1.6  2.02 0.11 0.02
 0.   0.   0.   0.   0.   0.   2.18 0.03 0.07 0.   0.   0.   1.15 0.
 0.   0.   0.   0.02 0.   0.01 0.   0.   0.   0.   0.   0.6  0.14 0.
 0.   0.06 0.   0.   0.   0.22 0.13 0.   0.   0.   0.   0.48 0.   0.
 0.   0.   0.01 0.16 0.04 0.   0.   0.07 0.09 0.54 0.   0.   0.   0.
 0.   0.27 0.   0.   0.03 1.73 0.08 0.   0.   0.05 0.   0.01 0.   0.71
 0.23 0.03 0.   0.   1.02 0.   0.   0.   0.   0.   0.71 0.06 0.   0.1
 0.29 0.   0.   0.   2.31 0.09 0.   0.03 0.   0.   0.   0.   0.05 0.
 0.01 0.   0.04 0.   0.   0.57 2.03 0.01 0.   0.   0.   0.   1.61 2.76
 0.   0.   0.   0.   0.   0.   0.   0.02 0.78 0.3  0.71 0.05 0.05 0.
 0.   0.   0.   0.34 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.86
 0.96 0.   0.   0.   0.48 0.   0.   0.   0.21 0.17 0.01 0.   0.01 0.
 0.   0.01 0.81 0.01 0.   0.67 0.   0.   0.13 0.   1.15 1.43 2.19 0.64
 0.02 0.22 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.31 0.14
 0.   0.   0.05 0.06 0.16 0.   0.   0.   0.   1.46 0.06 0.   0.   0.21
 0.   3.07 0.64 0.   0.3  0.01 0.42 0.01 3.13 0.   0.   0.   0.21 0.
 0.   0.   0.   0.09 0.   0.5  0.   0.   0.52 0.   0.   0.01 0.   0.
 1.19 0.   0.   0.   0.   0.   0.01 0.37 0.   0.08 0.   0.06 0.   0.
 0.   0.06 0.01 0.   0.   0.   0.   0.   0.   0.04 0.14 0.   0.   0.31
 0.   0.   0.   0.   0.   0.   0.   0.3  0.   0.   1.2  0.21 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.2  0.45 0.   0.   0.   0.   0.
 0.   0.   0.   0.01 0.   0.03 0.03 0.38 0.   0.   0.65 0.13 0.   0.
 0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.05 0.03 0.   1.45 0.09 0.06 0.   0.26 0.   0.88 0.02 0.   0.   0.
 0.04 0.   0.   1.94 0.   0.   0.   0.   0.   1.27 0.01 0.   0.   0.01
 0.   0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.71
 0.   0.01 0.   0.35 0.   0.28 0.96 0.   0.   0.   0.   0.   0.   0.
 0.02 0.04 0.   0.   0.   0.13 0.   0.5  0.1  0.   0.06 0.01 0.   0.7
 0.05 0.   0.   0.05 0.03 0.2  0.   0.08 0.21 0.   0.   0.   0.   0.
 0.05 0.   0.   0.   0.02 0.   0.3  0.   0.02 0.02 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.07 0.39 0.5  0.   0.   0.23 0.17 0.
 0.   0.   0.   0.   1.09 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.01 0.   0.   0.01 0.01 0.   0.   0.   0.   0.35 0.09 0.   0.02
 0.25 0.   0.   0.1  0.49 0.   0.   0.   0.   0.   0.   0.   0.06 0.
 0.   0.13 0.   0.   0.   0.   0.04 0.   0.02 0.36 0.38 0.   0.01 0.
 0.   0.02 0.11 0.02 0.   0.   0.03 0.   0.   0.   0.28 0.01 0.   0.
 0.39 0.   0.   0.13 0.   0.   0.02 0.   0.   0.01 0.   0.   0.03 0.83
 1.66 0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.48 0.   0.   1.6  0.03 0.   0.   0.   0.1  0.04 0.93 0.   0.
 0.   0.55 0.   0.   0.   1.06 0.   0.   0.25 0.   0.   0.   0.   0.
 0.   0.17 1.19 0.   0.06 0.   0.   0.   0.   0.01 0.89 0.   0.   0.14
 0.09 0.   0.   0.   0.   0.06 0.   0.05 0.07 0.   0.   0.   0.   0.
 0.15 0.14 0.1  1.04 0.37 0.   0.   0.   0.   0.   0.19 0.   0.   0.
 2.09 0.09 0.   0.   0.   0.06 0.   0.   0.   0.   0.   0.   0.   0.53
 0.   0.   0.58 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.11 0.
 0.   0.   0.88 0.17 0.   0.   0.   0.31 0.   0.   0.01 0.   0.   0.
 0.   0.   0.01 0.63 0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.06 0.36 0.   0.45 3.13 0.   0.   0.   0.   0.04 0.78
 0.02 0.32 0.   0.   0.   0.   0.02 0.02 0.   0.07 0.   0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.3  1.66 0.02 0.   0.   0.   0.   0.01 0.09 0.05 0.26
 0.   2.39 0.4  0.   0.   0.   0.   0.78 0.   0.   0.01 0.83 0.08 1.15
 0.   0.06 0.27 0.12 0.   0.   0.02 0.14 0.   0.   0.   0.   0.13 0.01
 0.07 0.   0.   0.   0.   0.   0.   0.04 0.   0.   0.01 0.   0.   0.
 0.   0.01 0.   0.   0.01 0.   0.   0.34 0.   0.46 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.19 0.18 0.   0.   0.
 0.   0.46 2.19 0.22 0.15 0.02 0.02 0.   0.   0.07 0.   0.44 0.14 0.
 0.39 0.   0.   0.   0.42 0.   0.   0.   0.   0.   0.06 0.84 0.02 0.2
 0.28 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.09 0.   0.63 0.65 0.06 0.   0.   0.   0.01 0.
 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.
 0.05 0.04 0.14 0.   0.01 0.   0.   0.   0.   0.   0.   0.17 1.91 0.7
 0.01 0.   0.   0.33 0.09 0.39 0.   0.01 0.05 0.   0.   0.03 0.   0.02
 0.   0.   0.   0.   0.07 0.02 0.   0.   0.   0.   0.   0.   0.   0.
 0.09 0.   0.   0.   0.11 0.27 0.35 0.   0.   0.   0.   0.   0.   0.
 0.   0.75 0.   0.   0.   0.   0.   0.52 0.02 0.07 0.   0.   0.   0.91
 0.05 0.   0.   0.   0.   0.   0.09 0.01 0.   0.   0.   0.   0.   0.
 0.09 0.   0.   0.1  0.03 0.91 0.   0.   0.   0.   0.   0.   0.04 0.
 0.   0.92 0.47 0.   0.   0.   0.   0.16 0.36 0.   0.   0.   0.   0.
 0.   0.97 0.31 0.   0.14 0.45 0.8  0.23 1.2  0.   0.   0.   0.   0.13
 0.   0.   0.48 0.04 0.   0.   0.   0.   0.03 0.16 0.16 0.   0.03 1.13
 0.   0.4  0.   0.   0.   0.   0.25 0.   0.   0.   0.   0.   0.06 0.01
 0.95 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.
 0.01 0.   0.   0.01 0.06 0.   0.   0.54 0.51 0.   0.   0.   0.04 0.02
 0.68 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.36 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.64 0.02 0.   0.   0.
 0.   0.   0.06 0.   0.1  0.64 0.18 0.   0.61 0.26 0.   0.83 0.   0.
 0.   0.   0.   0.   0.66 0.41 0.94 0.24 0.   0.   0.2  0.   1.72 0.
 0.   0.   0.   0.   1.62 1.11 0.   0.   0.   0.   0.03 0.83 0.02 0.23
 0.   0.   0.   0.   0.   0.   1.01 0.08 0.   0.   0.   0.   0.48 0.57
 0.   0.   0.   0.   0.18 0.   0.55 1.68 0.01 0.   0.   0.   0.   0.
 0.   0.36 0.   0.   0.   0.   0.   0.   0.   0.55 0.86 0.   0.   1.05
 0.   0.   0.   0.3  0.   0.   0.   0.45 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.23 0.   0.   0.25 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.5  0.   0.   0.   0.   0.03 2.36 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.21 0.01 0.   0.   0.   0.   0.   0.
 0.   0.04 0.03 0.   0.   0.   0.   0.   0.28 0.   0.4  1.6  0.   0.
 0.49 1.99 0.01 0.55 0.19 0.   0.   0.   0.   0.5  0.21 0.   0.   0.01
 0.61 0.08 0.   0.   0.   0.   0.   0.64 0.24 0.   0.   0.34 0.04 0.
 0.   0.   0.39 0.41 0.05 0.02 0.02 0.   0.   0.   0.   0.   0.   0.
 0.08 0.   0.   0.22 0.16 0.06 0.   0.   0.04 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.1  0.   1.21 0.   0.   0.02 0.01 0.09 0.   0.
 0.1  0.01 0.   0.01 0.   0.   0.   0.   0.   1.35 0.11 0.   0.   0.
 0.05 0.79 0.   0.   0.09 0.48 0.77 0.12 0.   0.   0.   0.01 1.1  0.04
 0.   0.   0.   0.   0.96 0.   0.   0.   0.   0.29 0.19 0.   0.   0.
 0.   0.02 0.14 0.   0.   0.   0.   0.   0.   0.   0.25 0.   0.61 0.57
 0.   0.01 0.59 0.71 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   1.04 0.72 0.14 0.   0.25 0.32 0.   0.
 0.   0.   0.05 0.2  1.25 0.   0.   0.   0.8  1.09 0.   0.01 0.01 0.47
 0.45 0.   0.   0.   0.48 0.   0.05 0.   0.   0.   0.   0.   0.07 0.
 0.   1.11 0.47 0.   0.   0.28 0.   0.   0.   0.13 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.07 0.   0.   0.   0.   0.   1.44 0.39 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 1.26 0.45 0.
 0.   0.   0.   0.   0.   0.02 0.   0.01 0.   0.   0.   0.   0.   0.01
 0.   0.   1.1  0.22 0.   0.   0.   0.23 0.   0.   0.   0.   0.   0.04
 0.2  0.07 0.   0.   0.9  0.   0.   0.   0.   0.32 0.   0.   0.   0.
 0.04 0.07 0.   0.   0.3  0.   0.   0.04 0.   0.15 0.57 0.   0.   0.
 0.52 0.05 0.   0.   0.   0.01 0.   0.   0.   0.   0.55 0.   0.7  0.
 0.   0.   0.   0.8  0.25 0.   0.   0.   0.   0.   0.   0.43 0.   0.74
 0.   0.   0.   0.   0.   0.   0.   1.53 0.   0.   0.27 0.08 0.   0.
 0.53 0.12 0.   0.   0.02 0.   0.   0.   0.19 0.   0.   0.   0.   0.21
 0.82 0.   0.   0.   0.   0.04 0.01 0.   0.   0.   0.07 0.   0.   0.
 0.   0.   0.04 0.   0.   0.   0.   0.   0.91 0.   0.   0.   0.   0.
 0.02 0.   0.   0.06 0.   0.   0.59 0.01 0.02 0.   0.   0.   0.   0.
 0.25 0.   0.   0.12 0.   0.   0.   0.   0.12 0.   0.   0.   0.33 0.53
 0.05 0.1  0.   0.03 0.   0.   1.11 0.39 0.   0.   0.01 0.   0.26 0.
 0.11 0.   0.   0.   0.5  1.8  0.55 0.   0.   0.   0.24 0.06 0.21 0.
 0.   0.   0.   0.   0.   0.4  0.   0.14 0.15 0.   0.   0.   0.   0.1
 0.   0.   0.   0.   0.   0.   0.09 0.05 0.   0.   0.   0.   0.   0.
 0.   0.   0.34 0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.23 0.09 0.   0.37 0.   0.   0.14 0.42 1.21 0.   0.94 1.28 1.71
 0.04 0.27 0.4  0.   0.65 0.05 0.33 0.   0.   0.01 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.14 0.
 0.   0.   0.   0.   0.06 1.6  0.05 0.09 0.   0.   0.25 0.   0.   0.
 0.   0.   1.25 0.01 0.   0.   0.   0.   0.   0.   0.   0.94 0.   0.
 0.   0.14 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.52 0.01 0.   0.   0.   0.61 0.29 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   1.53 0.58 0.   0.02 0.   0.   0.
 0.   0.   0.   0.   1.69 0.   0.   0.   0.7  0.   0.   0.   0.   0.02
 0.   0.   0.57 0.   0.   0.   1.08 0.   0.01 3.37 0.   0.   0.   0.
 0.   0.   0.41 1.05 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.2  0.
 0.38 0.3  0.   0.   0.   0.25 0.   0.   0.   0.   0.   0.   0.   0.
 0.43 0.01 0.2  0.   0.   0.   0.6  0.   0.2  0.25 0.   0.   0.03 0.02
 0.   0.   0.   0.   0.   0.   0.13 0.   0.   0.   0.42 0.   0.   0.
 0.2  0.   0.   0.1  0.   0.   0.   0.   0.   0.   0.05 0.35 0.36 0.
 0.   0.   0.   0.   1.49 0.36 0.   0.   0.   0.12 0.   0.   0.   0.
 0.   0.01 0.1  0.37 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.6  0.   0.35 0.2  0.   0.   2.05 0.   0.   0.   0.   0.   0.76
 0.49 0.   0.   0.26 0.09 0.54 0.25 0.26 0.1  0.21 0.   0.   0.   0.13
 0.   1.41 0.46 0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.35 0.16 0.61 0.97 0.   0.   0.8  0.48 0.   0.   0.02 2.1  0.25
 0.   0.   0.   0.   2.3  1.05 0.   0.   0.   0.   0.   0.75 0.7  0.
 0.   0.18 0.   0.   0.03 0.   0.11 0.   0.   0.09 0.01 1.67 0.55 0.08
 2.55 0.   0.   0.01 1.4  0.33 0.36 0.21 0.02 0.   0.   0.   0.47 0.
 0.   0.11 0.   0.69 0.   0.13 0.   0.   0.   0.   0.   0.   2.05 0.01
 0.15 0.   0.   0.06 0.   0.   0.18 0.13 0.   1.02 0.36 0.   0.   0.65
 0.   0.   0.   0.   0.   0.2  0.2  0.   0.   0.   0.12 0.   0.14 0.01
 0.   0.01 0.   0.2  0.   0.   0.   1.9  3.   0.62 1.51 0.02 0.15 0.
 0.   0.34 0.   0.   0.   0.41 0.   0.   0.   0.   0.   0.13 0.   0.
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.31
 0.   0.55 0.   0.   1.89 2.32 0.   0.   0.   0.   0.   0.8  0.   0.
 0.   0.   0.   1.1  0.   0.   0.   0.   0.   0.   0.   0.16 0.01 0.
 0.   0.   0.   0.   1.05 0.1  1.41 2.78 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.87 0.   0.   0.11 0.   0.   0.05 0.   0.28 0.64
 0.   0.   0.   0.   0.   0.   0.63 0.   0.   0.   0.1  0.   0.06 0.41
 0.   0.   0.05 0.15 0.31 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.   0.15 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.15 0.52 0.24 0.   0.   0.01
 0.   0.   0.   0.98 0.   0.03 0.   0.   0.   0.   0.13 0.   0.   0.
 0.   0.55 0.35 0.06 0.   0.   1.11 0.31 0.   0.   1.03 0.54 0.   0.
 0.09 0.08 0.33 0.   0.   0.   0.   0.   0.83 0.   0.   0.   0.01 0.15
 0.04 0.   0.   0.   0.   0.   0.2  0.22 0.17 0.21 0.   0.   0.   0.
 0.   0.   0.   0.   0.44 0.   0.   0.   0.   0.05 0.   0.   0.   0.
 0.   0.67 0.48 0.01 1.05 0.02 0.   0.   0.   0.   0.   0.   0.   0.02
 0.86 0.04 0.   0.   1.42 0.   0.   0.08 0.25 0.   0.   0.14 0.31 0.
 0.   0.15 1.47 0.   0.2  0.   0.   0.02 0.23 0.   0.   0.   0.15 0.
 0.   0.   0.4  0.3  0.   0.   0.   0.23 0.55 0.09 0.   0.   0.   1.67
 0.   0.   0.77 0.   0.   2.32 0.56 0.   0.   0.06 0.23 0.   0.   0.
 0.   0.12 0.   0.   2.4  0.1  0.   0.   0.   0.05 0.   0.   0.   0.26
 0.19 0.19 0.   0.   0.   0.01 0.22 0.   0.   0.   0.48 0.17 0.   0.01
 0.01 0.04 0.   0.   0.   0.   0.   0.13 0.74 0.5  0.   0.   0.   0.
 0.   0.   0.   0.11 0.   0.07 0.56 0.33 0.   0.41 0.   0.   0.   0.
 0.   1.13 0.   0.26 0.   0.   0.   0.   0.   0.   0.   0.14 0.   0.
 0.   0.   0.11 2.3  1.35 0.   0.06 4.64 1.5  0.   0.43 0.02 0.   0.
 0.   0.   0.02 0.   0.07 0.   0.08 0.75 0.   0.   0.44 0.37 0.22 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.
 0.   0.17 0.1  0.26 0.   0.25 0.   0.   1.03 0.   0.   0.   0.13 0.
 0.   0.   0.25 0.   0.   0.   0.1  0.   0.   0.   0.85 0.92 0.45 0.02
 0.22 0.42 0.   0.   0.   0.   0.85 0.   0.   0.   0.02 2.53 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.19 0.   0.
 0.   1.7  0.   0.   0.   0.   0.   0.   0.2  0.   0.   0.   0.   0.
 0.32 0.3  0.   0.   0.   0.   0.11 0.   0.   0.   1.21 0.95 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.47 0.26 0.   0.44 0.   0.
 0.3  0.   0.27 0.44 0.   0.   0.07 1.05 0.   0.02 0.1  0.   0.   0.
 0.   0.   0.   0.   0.02 0.37 0.   0.85 0.71 0.   0.   0.   0.8  0.
 0.   0.   0.   0.3  0.   0.   0.   0.   0.   0.   0.   0.   0.22 0.11
 0.   0.   0.   0.   0.   0.26 0.19 0.   0.   0.   0.   0.   0.06 0.19
 0.   0.   0.07 0.27 0.32 0.02 0.   0.   0.   0.   0.01 0.53 0.01 0.
 0.   0.15 2.17 0.37 0.   0.2  0.03 0.   0.   0.   0.   0.   0.   0.26
 0.24 0.   0.   0.58 0.13 0.   0.   0.03 0.36 0.04 0.04 0.   0.08 0.
 0.09 0.39 0.   0.08 0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.
 0.   0.37 0.   0.31 0.   0.34 0.   0.   0.02 2.28 0.05 0.   0.14 0.
 0.   0.   0.   0.06 0.02 0.   0.   0.   0.   0.   1.39 0.   0.   0.
 0.03 0.   0.   0.   0.57 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.55 0.43 0.   0.03 0.11 0.   0.   1.8  0.15 0.02 0.
 0.   0.   0.   0.   0.99 0.21 0.   0.   0.   0.   0.   0.11 0.64 0.
 0.   0.07 0.05 0.   0.   0.   0.   0.   0.09 0.03 0.   0.   0.03 0.
 0.19 0.   0.07 0.   0.   0.   0.   0.   0.47 0.   0.   0.   0.   0.
 0.01 0.   0.46 0.19 0.53 0.   0.58 1.85 0.   0.   0.19 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   3.   0.   0.   0.   0.   0.   0.14
 0.   0.   0.08 2.53 1.19 0.01 0.   0.01 0.16 0.   0.   0.   0.   0.
 0.   0.01 0.   0.   0.   0.14 0.12 0.   0.   0.   0.   0.   0.   0.
 0.   0.1  0.   0.   0.   0.   0.72 0.13 0.   0.   0.   0.15 1.97 0.38
 0.   0.   0.   0.   0.   0.   0.   0.   0.65 0.18 0.   0.   0.   0.
 0.23 0.   0.   0.   0.31 0.   0.76 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.17 0.43 0.01 0.04 0.   0.   0.   0.   0.   0.   0.   0.18
 1.13 0.   0.   0.   0.   0.   0.   0.   0.   0.24 0.62 1.25 0.   0.02
 0.02 0.   0.   0.45 0.16 0.   0.   0.4  0.11 0.   0.   0.   0.   0.
 0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.8  0.15 0.   0.   0.
 0.   0.32 0.   0.   0.   0.   0.2  0.   0.   0.   0.   0.42 0.   0.
 0.   0.   0.   0.03 0.   0.   0.5  0.05 0.03 0.13 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.12 0.   0.   0.   0.   0.15
 0.01 0.84 0.08 0.   0.06 0.02 0.   0.   0.   0.   0.03 0.35 0.21 0.
 0.   0.   0.   0.   0.   0.   0.   0.06 0.49 0.   0.   0.39 0.39 0.
 0.   0.   0.   0.   0.   0.09 0.93 0.   0.   0.44 0.   0.   0.   0.99
 0.05 0.   0.   0.14 0.11 0.08 0.   0.   0.   0.   0.   0.   0.   0.1
 0.08 0.23 0.   0.   0.   0.   0.35 0.19 0.09 0.03 0.   0.   0.09 0.
 0.35 0.05 0.12 0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.   0.
 0.74 0.09 0.4  0.   0.   0.02 0.   0.   0.4  0.   0.   0.   0.   0.
 0.   0.   0.17 0.   0.12 0.01 0.   0.   0.02 1.99 0.   0.   0.   0.
 2.8  0.1  0.   0.79 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.42 0.02 0.   0.   0.   0.43 0.   0.   0.21 0.   0.   0.   0.   0.
 0.47 0.33 0.06 0.15 0.   0.2  0.65 0.   0.   0.05 0.   0.17 0.9  0.06
 0.02 0.01 0.   0.   0.   0.03 0.54 0.   0.   0.11 0.   0.   0.   0.
 0.74 0.   0.   0.   0.04 0.   0.   0.   0.   0.31 0.   0.2  0.   0.1
 0.26 0.09 0.61 1.52 0.2  0.   0.   0.   0.   0.   0.   0.   0.13 0.
 0.03 0.   0.   0.   0.   0.   1.61 0.   0.   0.   0.03 0.01 0.   1.25
 0.07 0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.02 0.61 0.   0.
 0.21 0.69 0.37 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.43 0.   0.29 0.   0.   0.06 0.   0.01 0.   0.   0.   0.   0.   0.
 0.   0.23 0.04 0.   0.   0.   0.   0.01 0.09 0.   0.38 2.18 0.   0.2
 0.   0.   0.   0.   0.   0.   0.41 0.26 0.   0.   0.   0.   0.   0.
 0.   0.   0.31 1.14 0.05 0.04 0.67 0.   0.   0.   0.   0.   0.17 0.
 0.01 0.14 0.   0.   0.   0.   0.44 2.41 0.46 0.14 0.   0.   0.   1.01
 0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.   0.04 0.14 0.41 0.04
 0.   0.   0.04 0.   1.42 0.   0.   0.   0.   0.1  0.   0.31 0.54 0.16
 0.04 0.   0.   0.   0.   0.   0.2  0.54 0.   0.09 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.21 0.   0.   0.   0.   0.
 1.11 0.29 0.   0.   0.67 0.   0.   0.   0.   0.46 0.06 0.   0.   0.
 0.01 0.   0.   0.   0.   0.   0.99 0.18 0.   0.   0.   0.   0.06 0.
 0.   2.37 0.15 0.   0.   0.75 0.   0.   0.   0.21 0.   0.34 0.78 0.
 0.   0.03 0.78 0.   0.   0.   1.89 0.05 0.   0.   0.   0.   0.   0.
 0.01 0.25 0.   0.   0.   0.   0.   0.24 0.   0.   0.   0.   0.47 0.43
 0.   0.   0.   0.93 0.01 0.   0.   0.   0.   0.   0.   0.   0.25 0.
 0.   0.   0.   0.   0.06 0.   0.01 0.   0.   0.06 0.   0.06 0.22 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.9  0.04 0.   0.
 0.03 0.21 0.   0.   0.   0.32 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.5  0.15 0.   0.   0.   0.   0.   0.24 0.   0.   0.   0.
 0.76 0.2  0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.12 0.
 0.   0.   0.   0.32 0.   0.   0.   0.   0.   0.   0.   0.27 0.   0.02
 0.   0.   0.01 0.   0.   0.   0.   0.51 0.21 0.03 0.   0.   0.   0.23
 0.22 0.   0.   1.85 1.35 0.   0.   0.02 0.   0.   0.   0.   0.45 0.
 0.   0.53 0.   0.   0.   0.01 0.   0.   0.3  0.   0.   0.   0.07 0.32
 0.28 0.   0.   0.   0.   0.64 0.17 0.4  0.4  0.   0.   0.24 0.   0.22
 0.   0.26 1.42 0.5  0.   0.   0.02 0.   0.06 0.26 0.   0.   0.   0.
 0.   0.   0.   0.   0.96 0.   0.02 0.   0.   0.02 0.   0.11 0.73 0.62
 0.   0.   0.   0.   0.   0.09 0.   0.   0.97 0.71 0.   0.   0.   0.
 0.62 0.   0.   0.   0.   0.   0.   0.   0.02 0.01 0.   0.   0.08 0.
 0.02 0.   0.   0.   0.   0.   0.   0.   0.   1.45 0.   0.   0.   0.
 0.   0.8  1.28 0.   0.   0.   0.   0.17 0.46 0.   0.   0.   0.01 0.
 0.   0.02 0.29 0.01 1.65 0.   0.   0.   0.   0.   0.   0.   0.24 0.02
 0.   0.   0.03 0.1  0.5  0.   0.   0.53 0.15 0.   0.   0.   0.48 0.
 0.   0.   0.   1.36 0.22 0.   0.   0.   0.   0.   0.   0.   0.32 0.06
 1.87 0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.82 0.47 0.
 1.09 0.   0.03 0.   0.   0.   0.   0.   0.   0.   0.2  0.   0.4  0.31
 0.   0.08 0.   0.   0.   0.4  0.62 0.   0.   0.   0.   0.12 0.29 1.62
 0.   0.   0.   0.   0.11 0.   0.02 0.26 0.   0.   0.67 0.45 0.   0.
 0.01 0.   0.52 0.62 0.62 0.   0.   0.   0.   0.01 0.   0.   0.11 0.32
 0.   0.   0.25 0.   0.41 0.51 0.   0.   0.3  0.   0.   0.07 0.   0.
 0.   0.   0.   0.   0.   0.42 0.   0.02 0.   0.35 0.   0.   0.04 0.
 0.08 0.82 0.69 0.   0.   0.   0.11 0.   0.   0.   0.73 0.62 0.1  0.3
 0.06 0.   0.   0.   0.   0.24 0.12 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.31 0.02 0.   0.   0.   0.02 0.24 0.   0.   0.08 0.
 0.   0.   0.03 0.   0.03 0.03 0.   0.91 0.   0.   0.06 0.   0.98 0.5
 0.   0.   0.   0.   0.   0.   0.   0.82 0.   0.   0.   0.   0.   0.12
 0.04 0.   0.   0.96 0.   0.   0.   0.   0.44 0.04 0.01 0.21 0.67 0.55
 0.   0.   0.   0.   0.   0.04 0.   0.46 0.   0.   0.   0.   0.   0.01
 0.   0.76 0.53 0.   0.   1.   0.35 0.08 0.   1.17 1.85 0.01 0.   0.
 0.   0.   0.   0.07 0.   0.   0.03 0.   0.   0.   0.   0.   0.   0.
 0.33 0.   0.   0.   0.   0.02 0.   0.   0.44 0.45 0.   0.   0.   0.79
 0.71 0.   0.   0.06 0.4  0.1  0.   0.   0.26 0.   0.   0.   0.   0.
 0.   0.   0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.37
 0.   0.   0.61 0.   0.   0.   0.   0.   0.   0.   0.   0.84 0.01 0.
 0.   0.   0.01 0.   0.   0.14 0.47 0.   0.   0.   0.   0.   0.   0.
 0.28 0.   0.   1.09 0.   0.   0.   0.   0.   0.45 1.05 0.   0.   0.
 0.   0.   0.   0.94 0.   0.09 0.   0.01 0.89 0.11 0.   0.   0.   0.
 0.   0.19 0.   0.   0.   0.   0.   0.18 0.42 0.   0.   0.   0.   0.
 0.   0.07 0.33 0.35 0.   0.   0.   0.31 0.74 0.   0.   0.   0.06 0.01
 0.   0.11 0.05 0.36 0.01 0.   0.   1.41 0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   1.26 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.42 0.04 0.   0.   0.   0.   0.07 0.   0.
 0.23 0.   0.02 0.03 1.06 0.   0.   0.   0.   0.   0.   0.   0.71 0.16
 0.   0.   0.   0.   0.   0.   0.06 0.1  0.   0.   0.   0.21 0.   0.
 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.04 0.   0.
 0.   0.14 0.56 0.   0.   0.52 0.31 0.01 0.   0.   0.   0.   0.03 0.
 0.12 0.02 0.   0.01 0.   0.   0.   0.04 0.   0.49 0.46 0.12 0.   0.02
 0.   0.   0.   0.   0.   0.26 0.03 0.01 0.   0.   0.05 0.   0.42 0.
 0.18 0.   0.   0.   0.   0.08 0.15 0.28 0.   0.1  0.68 0.   0.   0.
 0.   0.25 0.   0.   0.04 0.11 0.01 0.   0.   0.   0.99 0.02 0.01 0.
 0.   0.   0.   0.   0.   0.   0.44 0.04 0.02 0.08 0.01 0.07 0.   0.
 0.   0.5  0.08 0.   0.   0.   0.   0.36 0.26 0.   0.   0.46 0.   0.
 0.   0.   0.03 3.13 0.23 0.   0.   0.   0.   0.66 0.   0.   0.09 0.
 0.33 0.   0.   0.   0.   0.   0.   0.01 0.13 0.02 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.06 0.03 0.   0.01 1.11 0.   0.   0.   0.
 0.83 0.   0.   0.57 0.42 0.   0.   0.   0.   0.   0.   0.   0.03 1.99
 0.   0.02 0.   0.   0.   0.   0.   0.   1.76 0.19 0.   0.   0.   0.
 0.2  2.17 0.   0.   0.   0.   0.   0.23 1.21 0.   0.   0.02 0.51 0.7
 0.08 0.   0.   0.   0.68 0.   0.   0.   1.41 0.52 0.   1.16 0.09 0.
 0.   0.19 0.02 0.   0.   0.   0.1  0.05 0.   0.   0.   0.   0.27 0.
 0.   0.   0.01 0.   0.11 0.13 0.   0.   0.44 0.   0.   0.   0.   0.42
 0.   0.21 0.   0.   0.68 0.12 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.41 0.27 0.   0.   0.   1.4  0.76 0.01 0.   0.
 0.56 0.   0.   0.   0.   0.   0.   0.86 0.   0.   0.   0.   0.42 0.
 0.   0.93 0.   0.   0.   0.02 0.   0.11 0.47 0.   0.   0.   0.   0.17
 0.   0.   0.   0.   0.   0.15 0.   0.51 0.01 0.   0.   0.12 0.5  0.04
 0.   0.41 0.   0.   0.02 0.08 0.   0.   0.33 0.01 0.   0.22 0.51 0.81
 0.28 0.   0.   0.   0.   0.   0.   0.15 0.   0.   0.   0.84 0.05 0.01
 0.   0.   0.   0.   0.01 0.   0.14 0.45 0.   0.   1.07 0.13 0.   0.
 0.08 0.   0.69 0.13 0.54 0.31 0.   0.   0.15 0.   0.11 2.08 0.   0.
 0.   0.   0.   0.   0.14 0.   0.   0.17 0.   0.   0.41 0.32 0.   0.
 0.48 0.   0.05 0.14 0.16 0.08 0.01 0.04 0.64 0.1  0.   0.   0.   0.62
 0.   0.02 0.   0.   0.16 0.   0.   0.   0.   0.02 0.11 0.   0.01 0.
 0.   0.   0.   3.01 0.18 0.03 0.   0.   0.   0.   0.01 0.   0.11 0.
 0.   0.   0.   0.   0.15 0.59 0.47 0.   0.03 0.   0.03 0.   0.   0.
 0.22 0.   0.88 0.   0.   0.54 0.04 0.   0.   0.   0.63 0.03 0.   0.
 0.36 1.77 0.01 0.45 0.02 0.   0.   0.17 0.   0.   0.02 0.24 0.   0.
 0.46 0.   0.   0.   0.01 1.01 0.09 0.   0.   0.   0.   0.   0.   0.
 0.82 0.   0.   0.07 0.75 0.   0.   0.   0.01 0.   0.   0.   0.06 0.
 0.03 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.34 0.02 0.53 0.   0.   0.   0.   0.31 0.   0.   0.21 2.04 0.17 0.
 0.   0.   0.33 0.01 0.22 0.   0.   0.   0.61 0.18 0.   0.   0.08 0.
 0.   0.   0.   0.   1.89 0.07 0.25 0.   0.   0.02 0.   0.   0.   0.
 0.   4.35 0.15 0.35 0.06 0.02 0.   0.   0.   0.   0.17 0.   0.11 0.
 0.02 0.   0.   0.   0.   0.06 0.07 0.08 0.6  0.01 0.   0.   0.   0.
 0.   0.   0.   0.01 0.04 0.   0.   0.   0.   0.   0.02 1.91 0.   0.
 0.   0.05 0.99 0.85 0.   0.03 0.   1.2  1.41 0.02 0.   0.   0.26 0.03
 0.02 0.89 0.   0.01 0.12 0.01 0.27 0.   0.   0.   0.   0.27 0.   0.
 0.   0.02 0.06 0.   0.02 0.   0.03 0.01 0.   0.   0.   0.   0.   0.22
 0.01 0.15 0.   0.   0.   0.   0.9  0.01 0.   0.   0.   0.   0.1  0.
 0.36 1.23 0.   0.11 0.46 0.   0.   0.06 0.02 0.02 0.01 0.16 0.96 0.
 0.   0.18 0.   0.   0.   0.01 0.   0.83 0.14 0.   0.03 0.   0.   0.
 0.   0.09 0.   0.   0.   0.07 0.02 0.   0.25 0.02 0.42 0.09 0.11 0.07
 0.   0.   0.   0.44 0.   0.   0.   1.   0.   0.   0.   0.   0.   0.07
 0.   0.01 0.   0.   0.   0.38 0.   0.   0.25 0.   2.07 0.25 0.   0.
 0.   0.   0.01 0.   0.   0.01 0.   0.   0.96 0.   0.   0.   0.   0.15
 0.24 0.01 0.   0.   0.   0.   0.18 0.   0.   0.03 1.02 0.   0.   0.3
 0.   0.77 0.   0.   0.31 0.   0.05 0.31 0.   0.   0.   0.   0.   0.06
 0.   0.01 0.   0.37 0.06 0.   0.   0.   0.   0.76 0.   0.   0.   0.
 0.05 0.   0.   0.99 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.07 0.   0.   0.   0.   0.72 0.   0.   0.   0.1  0.   0.   0.   0.01
 0.   0.   0.   0.   0.   0.08 0.16 0.   0.   0.   0.4  0.   1.05 0.01
 0.   0.   0.   0.   0.17 0.   0.   0.43 0.   0.   0.86 0.49 0.   3.75
 0.87 0.   0.09 0.   0.   0.   0.   0.   0.   0.   0.15 0.7  0.   0.
 0.   0.   0.   0.   0.01 0.1  0.   0.   0.18 0.02 0.61 0.   0.76 0.45
 0.   0.   0.   0.   0.   0.   0.23 0.   0.   0.   0.13 0.   0.03 0.
 0.   0.   0.   0.01 0.   0.   0.67 0.   0.   0.   0.   0.   0.   0.
 0.   0.04 0.   0.   0.01 0.   0.   0.   0.   0.7  0.51 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.37 0.13
 0.   0.   0.   0.   0.   0.   0.   0.03 0.83 0.36 0.36 0.   0.   0.
 0.   0.93 0.59 0.   0.   0.   0.   0.01 0.82 0.77 0.   0.   0.   0.05
 0.66 0.01 0.01 0.   0.   0.   0.   0.17 0.53 0.   0.   0.   0.02 0.
 0.03 0.   0.08 0.02 0.   0.   0.14 0.09 0.   0.   0.   0.   0.65 0.05
 0.13 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.14 0.63 0.08 0.83
 0.   0.22 0.   1.25 0.04 0.   0.   0.   0.   0.   0.   0.05 1.36 0.04
 0.01 0.   0.   0.   0.04 0.   0.56 0.28 0.   0.06 0.   0.   0.   0.
 2.55 0.18 0.06 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.29 1.07
 0.   0.   0.   0.   0.   0.64 0.36 0.   0.   0.   0.   1.27 0.65 0.15
 0.1  0.   0.   0.41 0.78 0.   0.   0.   0.09 0.   0.   0.01 0.   0.
 0.   0.   0.5  1.82 0.   0.   0.   0.   0.21 0.   0.   0.   0.25 1.38
 0.   0.38 0.53 0.   0.   0.   0.   0.   0.   0.   0.   0.   1.78 0.01
 0.   0.   0.   0.   0.   0.02 1.86 0.29 0.   0.   0.   0.   0.09 0.
 0.77 0.   0.82 0.03 0.   0.   0.82 0.03 0.   0.53 0.   0.   0.   0.
 0.58 0.25 0.1  0.   0.57 0.   0.   0.28 1.42 1.94 0.68 0.   0.   0.
 0.   0.   0.   0.   0.   0.07 0.   0.   0.   0.   0.42 0.   0.   0.
 0.17 0.   0.46 0.69 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 1.29 1.57 0.34 0.09 0.04 0.3  0.35 0.   0.1  0.   0.   0.   0.33 0.
 0.02 0.03 0.   0.   0.79 0.   0.   0.   0.05 0.32 0.   0.   0.05 0.
 0.   0.   0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.05 0.   0.26
 0.   0.   0.   0.   0.   0.   0.   0.33 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.06 0.09 0.   0.   0.   0.   0.   2.38 0.05 0.   0.
 0.   0.   0.   0.   0.   0.2  0.   0.   0.   0.   0.   0.   0.69 0.
 0.   0.   0.   2.07 0.36 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.15 0.07 0.   0.   0.05 0.   0.04 0.   0.   0.01 0.97
 0.   0.12 0.02 0.   0.   0.   0.79 0.21 0.11 0.   0.   0.06 0.33 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.15 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.04 0.3  0.
 0.   0.   0.   0.   0.07 0.   0.   0.1  0.   0.   0.   0.   0.   0.97
 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.01 0.17 0.   0.
 0.   0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.05 0.03 0.11
 0.   0.   0.   0.   0.71 0.   0.   0.   0.   2.42 0.   0.   0.   0.
 0.39 0.56 0.   0.   0.   0.05 0.2  0.96 0.   0.   0.97 0.   0.   0.13
 0.04 0.1  1.03 0.14 0.   0.02 0.   0.01 0.   0.   0.   1.15 0.   0.01
 0.   0.   0.16 0.15 0.   0.   0.   0.08 0.   0.   0.   0.   0.   1.02
 0.   0.   0.01 0.   0.   0.   0.05 0.04 0.   0.82 0.12 0.   0.38 0.15
 0.   0.32 0.09 0.   0.   0.   0.   0.   0.   0.72 0.37 0.   0.   0.
 0.   0.   0.72 0.68 0.   0.07 0.   0.   0.14 0.25 0.   0.   0.   0.05
 0.   0.   0.15 0.   0.03 0.   0.   0.38 0.05 0.22 0.11 0.   0.   0.
 0.36 0.   0.   0.01 0.26 0.   0.05 0.26 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.58 0.   0.   0.18 0.08 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.03 1.34 0.   0.   0.   0.3  1.53 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.08 0.   0.   0.11 0.   0.   0.03 0.18 0.   0.   0.
 0.   0.   0.   0.   0.19 0.   0.24 0.04 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.04 0.01 0.   0.   0.   0.   0.   0.   0.06 0.   0.02
 0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.   0.   0.   0.12
 0.   0.   0.03 0.   0.   0.05 0.   0.02 0.78 0.   0.   0.   0.   0.
 0.26 0.05 0.   0.   0.   0.   1.53 0.05 0.   0.   0.   0.   0.   0.
 0.   0.   0.24 0.   0.47 0.   0.02 1.38 0.   0.   0.   0.   0.42 5.02
 0.   0.   0.   0.   0.62 0.02 0.   0.   0.   0.   0.   0.   0.   0.62
 0.   0.   0.   0.73 0.03 0.   0.   0.   0.   0.55 0.   0.   0.09 0.25
 0.   0.   0.3  0.03 0.01 0.56 0.   0.12 0.06 0.   0.   0.   0.   0.
 0.   0.   0.   0.   1.13 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.   0.   0.4
 0.4  0.3  0.   0.   0.   0.   0.   0.   0.08 0.   0.92 0.01 0.   0.
 0.17 0.   0.   0.28 0.62 0.06 0.   0.   0.   0.   1.01 0.01 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.07 0.   0.   0.   0.7  0.   0.
 0.   0.   0.02 0.84 0.   0.   0.05 0.   0.   0.   0.   0.   0.   0.12
 0.   0.   0.   0.   0.73 0.02 0.   0.   0.   0.39 0.36 0.   0.   0.1
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.13 0.37 0.   0.   0.
 0.57 0.24 0.   0.   0.   0.   0.   0.12 0.   0.03 0.1  0.   0.02 0.
 0.   0.   0.   0.   0.01 0.01 0.   0.   1.11 0.18 0.   0.   0.   0.3
 0.69 0.   0.   0.   0.   0.   0.   0.   0.08 0.01 0.   0.93 0.   0.
 0.   0.   0.   0.   0.39 0.   0.   0.   0.   0.37 0.   0.16 0.   0.
 0.   0.15 0.25 0.36 0.03 0.   0.   1.62 0.05 0.12 0.   0.   0.03 0.
 0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.   0.   0.   0.56 0.
 0.07 0.55 0.   0.   0.   0.   1.07 0.57 0.52 0.03 0.05 0.09 0.81 0.12
 0.   0.   0.   0.   0.   0.   0.   0.04 0.   0.   0.   2.62 0.2  0.
 0.   0.   0.59 0.54 0.08 0.01 0.05 0.   0.   0.4  0.   0.   0.16 0.05
 0.   0.   0.   0.   0.1  0.01 0.02 0.   0.   0.   0.21 0.   0.   0.
 0.   0.   0.   0.08 0.   0.   0.   0.59 1.39 0.   0.   0.   0.11 0.
 0.07 0.07 0.   0.01 0.   3.24 1.13 0.   0.01 0.23 0.14 0.43 0.   0.7
 0.02 0.   0.01 0.   0.   0.14 0.   0.45 0.21 0.   0.23 0.06 0.63 0.
 0.31 0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.54 0.   0.01 0.
 0.08 0.65 0.74 0.58 0.   0.   0.   0.   0.09 0.   0.   0.   0.37 0.
 0.91 0.   0.   0.   1.9  0.   0.   0.   0.09 0.   0.08 0.33 0.   0.
 0.   0.   0.   0.   0.   0.05 0.08 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.07 0.01 0.45 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.32
 1.48 0.03 0.   0.   0.32 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   1.22 0.   0.   0.13 0.04 0.   0.   0.   0.   0.   0.   0.
 0.01 0.   0.03 0.   0.01 0.   0.94 0.   0.39 0.81 0.   0.   0.07 0.
 0.01 0.   0.   0.   0.   0.   0.   0.   0.92 0.   0.   0.   0.   0.
 0.19 0.   0.   0.32 0.   0.   0.   0.   0.   0.   0.28 0.   0.   0.03
 0.83 0.24 0.46 0.   0.   0.   0.   0.   0.04 0.   0.   0.76 0.01 0.
 0.02 0.   0.   0.7  0.   0.   0.   0.   0.01 0.   0.02 0.   0.   0.04
 0.32 0.   0.   0.   0.   0.   0.31 0.01 0.   0.52 0.   0.   0.   0.
 0.04 0.   0.05 0.43 0.14 0.   0.   0.37 0.   0.   0.01 1.27 0.   0.
 0.17 0.21 0.   0.   0.   1.03 1.28 0.   0.   0.   0.05 0.   0.   0.21
 2.16 0.06 0.01 0.   0.   0.   0.   0.25 0.   0.12 0.6  0.04 0.17 0.05
 0.   0.   0.06 0.09 0.   0.01 0.   0.   0.18 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.07 0.   0.   0.5  0.84 0.21 0.
 0.04 0.06 0.08 0.05 0.18 0.   0.   0.82 0.65 0.03 0.   0.   0.   0.
 0.   0.   0.   0.33 0.   0.   0.   0.   0.02 1.53 0.   0.   0.   0.25
 0.   1.64 0.02 0.   0.   0.   0.   0.   0.   0.24 0.   0.   0.31 0.08
 0.   0.   0.56 0.   0.   0.01 0.   0.   0.   0.   0.   0.62 0.   0.
 0.   0.   0.   0.   0.   0.   0.22 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.4  0.14 0.59 0.32 0.36 0.   0.
 0.   0.   0.09 0.14 0.   0.   0.48 0.   0.   0.   0.   0.   0.   0.
 0.04 0.1  0.   0.   0.14 0.   0.   0.   0.   0.   1.16 0.   0.   0.
 1.9  0.   0.   0.   0.   0.   0.83 0.36 0.   0.   0.04 0.41 0.   0.
 0.   0.   0.36 0.09 0.   0.   0.   0.   0.12 0.   0.   0.   0.   0.
 0.   0.   0.07 0.28 0.1  0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.05 0.01 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.11 0.   0.
 0.   0.33 0.81 0.   0.   0.   0.05 0.   0.   0.   0.   0.   0.   0.
 0.08 0.65 0.15 0.   0.   0.   0.   0.12 0.   0.   0.26 0.43 0.   0.
 0.   0.   0.04 0.51 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.62 0.07 0.   0.08 0.   0.27 0.   0.02 0.   0.   0.   0.
 0.   0.32 0.   0.15 0.   0.   0.31 0.   0.   0.   0.   0.   0.03 0.06
 0.15 0.   0.   0.   0.   0.   0.02 0.   0.   0.3  0.08 0.   0.   0.
 0.   0.   0.   0.   0.   0.08 0.03 0.   0.   0.   0.   0.   0.05 0.
 0.   0.35 0.82 0.   0.   0.   0.   0.   0.   0.08 0.   0.   0.28 0.
 0.   0.   0.03 0.3  0.   0.8  0.   0.   0.   0.   0.02 0.28 0.3  0.
 0.   0.   0.28 0.06 0.   0.05 0.   0.   0.   0.   0.   0.04 0.01 0.
 0.11 0.03 0.11 0.03 0.   0.   0.   0.23 0.04 0.   0.35 0.   0.   0.55
 0.   0.01 1.64 0.   0.15 0.   0.43 0.   0.   0.   0.   0.   0.   0.15
 0.   0.   0.16 0.9  0.05 0.   0.   0.05 1.57 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.38 0.   0.   0.   0.   0.   1.69
 0.7  0.   0.   0.   0.   0.21 0.   0.63 0.09 0.24 0.02 0.   0.04 0.
 0.   0.   0.   0.   0.   0.16 0.7  0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.26 0.03 0.   0.   0.   0.   0.   0.05 0.   0.01
 0.63 0.   0.   0.   0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.7  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.15 0.21 0.   0.   0.57 0.   0.16 0.   0.38 0.01 0.   0.   0.05 2.68
 0.   0.   0.29 1.63 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.65 0.31 0.   0.   0.   0.   0.   0.   0.   0.   0.   1.01
 1.26 0.01 0.   0.   0.   0.   0.07 0.05 0.06 0.   0.   0.   0.   0.19
 3.06 1.28 0.06 0.   0.   1.24 0.04 0.   0.   0.   0.   0.   0.   0.
 0.14 0.87 0.   0.   0.03 0.11 0.   0.   0.   0.   0.03 0.25 0.46 0.
 0.   0.   0.05 0.05 0.95 0.09 0.   0.   0.66 1.42 0.08 0.01 0.   0.25
 0.37 0.01 0.   0.   0.   0.38 0.   0.   0.   0.   0.   0.   0.   0.35
 0.   0.   0.   0.   0.   1.11 0.02 0.46 0.23 0.   0.01 0.   0.   0.03
 0.5  0.   0.   0.   0.   1.3  0.03 0.   0.   0.   0.01 0.01 1.52 0.07
 0.41 0.03 0.09 0.06 0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.01
 0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.01 0.   0.   0.
 0.02 0.02 0.   0.   0.18 0.   0.   0.39 0.   0.   0.15 0.   0.   0.
 0.   0.   0.26 1.49 0.03 0.   0.   0.   1.49 0.54 0.   0.   0.   0.
 0.   0.   0.64 0.   0.   0.43 0.57 0.   0.   0.   0.   0.   0.   0.16
 0.   0.   0.   0.   0.   0.   1.08 0.63 0.   0.   0.   0.   0.29 0.
 0.   0.6  0.17 0.   0.11 0.   0.   0.   0.06 0.   0.56 0.   0.3  0.
 0.66 0.62 0.   0.   0.   0.   0.01 0.   0.   0.   0.01 0.27 0.   0.
 0.06 0.51 0.   0.   0.03 0.   0.04 0.29 0.   0.   0.05 0.   0.16 0.19
 0.02 0.   0.   0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.27 0.
 0.15 0.09 0.01 1.28 0.   0.04 0.   0.19 0.59 1.38 0.   0.21 2.75 0.01
 0.   0.9  0.   0.   0.   0.02 0.86 0.52 0.68 0.   0.   0.   0.86 0.09
 0.42 1.19 0.32 0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.04
 0.   0.   0.   0.01 0.   0.2  0.12 0.51 0.   0.   0.   0.   0.02 0.
 0.12 0.   0.   0.77 1.39 0.3  0.03 0.   0.   0.12 0.   0.01 0.   0.12
 0.72 0.12 0.07 1.98 0.08 0.35 0.76 0.51 0.83 0.02 0.01 0.   0.   0.
 0.   0.   0.27 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.13 0.   0.59 0.84 0.24 0.19 0.   0.   0.   0.   0.   0.   0.
 0.   0.67 0.27 0.23 0.   0.   0.13 0.46 0.   0.   0.   1.19 0.   0.
 0.02 0.03 1.15 0.02 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.
 0.   0.   0.02 0.   0.62 0.25 0.   0.28 0.   0.03 0.   0.   0.01 0.
 0.   0.   0.05 1.88 0.11 1.63 0.   0.   0.   0.   0.   0.   0.26 0.25
 0.02 0.   0.   0.   0.   0.28 0.08 0.   0.   0.   0.01 0.   1.8  0.58
 0.   0.   0.   0.16 0.03 0.   0.   0.71 0.   0.   0.   0.   0.   0.
 0.53 0.4  0.   0.   0.   0.   0.95 0.   0.   1.59 0.01 0.   0.52 0.
 0.   0.   0.   0.   0.   1.42 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.01 0.4  0.35 0.   0.   0.   0.   0.   0.   0.   0.01 0.06 0.09
 0.   0.   0.56 0.   0.   0.   0.   0.   0.   0.   0.   0.47 0.18 0.
 0.   0.   0.   0.   0.96 0.   0.   1.59 0.04 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.08 0.   0.
 0.   0.   0.   0.   0.02 0.   0.21 0.   0.41 0.01 0.38 0.03 0.   0.
 0.   0.   0.   0.   0.4  0.12 0.12 0.14 0.06 0.1  0.   0.   0.   0.12
 0.   0.17 0.   0.   0.02 0.68 0.23 0.   0.05 0.07 0.   0.   0.   0.08
 0.   0.   0.   0.55 1.17 0.23 0.07 0.   0.   0.   0.   0.   0.03 0.
 0.16 0.01 0.08 1.29 0.02 0.07 0.   0.   0.   0.01 0.34 0.   0.16 0.
 0.13 0.   0.02 0.23 0.65 1.45 0.   0.   1.16 0.09 0.   0.   0.11 0.
 0.   0.   0.   0.   0.   0.39 0.41 0.39 0.   0.   0.22 0.23 0.01 0.01
 0.   0.   0.12 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.99
 0.   0.   0.   0.   0.37 0.   0.   0.95 0.01 0.   0.   0.32 0.   0.
 0.06 0.   0.   0.8  0.   0.   0.   0.   0.   0.   1.26 0.95 0.36 0.
 0.   0.   0.21 0.12 0.   0.   0.   2.32 0.02 0.   0.   1.36 0.18 0.
 0.   0.   0.25 0.   0.   0.02 0.   0.01 0.   0.   0.   0.   0.91 0.
 0.16 0.22 0.34 0.46 0.   0.   0.   0.   0.56 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.07 3.77 0.41
 0.   0.   0.   0.   0.   0.19 0.01 0.11 2.19 0.   0.   0.   0.   0.
 0.   0.   0.   0.   3.84 0.82 0.1  0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.06 0.24 0.03 0.   0.02 0.7  0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.1  0.   0.   0.   0.   1.01
 0.01 0.   0.   0.   0.   0.   0.   0.94 0.14 0.   0.   0.   0.   0.
 0.   0.36 0.   0.01 0.   0.4  0.42 0.   0.   0.92 0.   0.   1.17 0.
 0.   0.   0.   0.28 0.52 0.11 0.32 0.41 0.   0.   0.   0.   0.   0.
 0.   0.   0.06 0.07 0.   0.   0.65 0.   0.   0.03 0.08 0.01 0.   0.
 0.   0.   0.   0.45 0.06 0.28 0.62 0.   0.59 0.   0.   0.25 0.12 0.
 1.03 0.   0.   0.03 0.   0.03 0.   0.   0.93 0.25 0.   0.   0.01 0.
 0.   0.   0.02 0.   0.   0.   0.02 0.27 0.   0.   0.   0.   0.03 0.1
 0.   0.   0.   0.95 0.13 0.22 0.   0.   0.   0.13 0.41 0.   0.01 0.24
 0.13 0.   0.   0.4  0.29 0.   0.   0.   0.   0.   0.   0.32 0.   0.
 0.03 0.24 0.   0.   0.   0.   0.   0.   0.   0.14 0.01 0.   0.8  0.1
 0.   0.   0.04 2.98 0.   0.   0.01 0.02 1.8  0.09 0.   0.   0.   0.47
 0.38 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.99 0.16 0.01 0.   0.49 0.   0.   0.4  0.15 0.23 0.   0.   0.
 0.02 0.01 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.
 0.11 0.26 0.1  0.   0.05 0.26 0.13 0.   0.15 0.   0.   0.   0.   0.
 0.22 0.13 0.   0.58 0.   0.   0.   0.47 0.46 0.   0.   0.   0.   0.29
 0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.59 0.16 0.23 0.
 0.01 0.   0.   0.   0.03 1.52 0.   1.46 0.   0.   0.   0.   0.04 0.
 0.   0.   0.42 0.   0.   0.   0.   0.   0.01 0.   0.03 0.   0.04 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.
 0.   0.   3.1  0.02 0.   0.   0.   0.75 0.   0.   0.   0.   0.   0.
 0.   0.   0.01 0.   0.04 0.03 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.06 0.1  0.   0.09 0.   0.   0.   0.   0.
 0.   0.   0.   0.17 0.   0.   0.06 0.   0.   0.   0.   0.   0.   0.
 0.23 4.26 0.01 0.07 0.13 4.26 2.75 1.54 0.   0.   0.   0.   0.   0.
 0.   1.12 0.   1.09 1.26 0.01 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.01 0.   0.   0.28 0.08 0.   0.   0.   0.   0.02 0.84 0.03
 0.   0.   0.   0.55 0.84 0.   0.1  0.   0.   0.   0.   0.71 1.01 0.
 0.   0.   0.32 0.   0.07 0.   0.   0.74 0.   0.   0.   0.   0.   0.24
 1.58 0.   0.   0.   0.   0.   0.   0.   0.   0.84 0.11 0.   0.   0.56
 0.   0.14 0.   0.63 1.13 0.   0.05 0.   0.   0.   0.   0.   0.23 0.
 0.   1.17 0.12 0.   0.16 0.59 0.   0.   0.   0.   0.68 0.   0.   0.
 0.   0.   0.14 0.01 0.08 0.   0.   0.58 0.23 0.15 0.   0.   0.   0.
 0.   0.2  1.66 0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.52 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.23 0.   0.03 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.65 0.07 0.18 0.
 0.01 0.61 0.   0.   0.   0.   0.   0.21 0.   0.   0.   0.   0.   0.
 0.   1.23 2.34 0.23 0.03 0.   0.   0.   0.   0.   0.   0.   0.09 0.
 0.   0.   0.   0.   0.   0.   0.1  1.53 0.   0.   0.64 0.67 0.   0.24
 1.04 0.   0.05 0.   0.   0.   0.   0.24 0.01 0.   0.01 0.   0.   0.99
 2.79 0.76 0.09 0.   0.   1.36 0.13 0.03 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.03 0.62 0.08 0.11 0.11 0.57 0.71
 0.17 0.   0.03 0.   0.   1.05 0.36 0.   0.   0.   0.   0.   1.59 0.01
 0.   0.   0.   0.   0.69 0.   0.   1.95 0.16 0.01 0.   0.   0.   0.
 0.31 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   2.51
 0.   0.   0.   0.   0.18 0.   0.   0.   0.   0.06 0.   0.   0.   0.82
 0.11 0.78 0.67 0.35 0.44 0.15 0.   0.11 1.24 0.   0.   0.46 0.   0.
 0.   0.   0.   0.   0.   0.   0.68 0.99 0.01 0.   0.   0.01 0.   0.
 0.   0.1  0.01 0.   0.   0.   0.01 0.07 0.   0.35 0.   0.   0.62 0.05
 0.   0.   0.   0.   0.   1.61 0.31 0.   0.   0.   0.   1.09 0.   0.05
 0.45 0.   0.   0.   0.   0.   0.   0.32 2.22 0.   0.   0.   0.01 0.26
 0.   0.   0.   0.   0.02 3.6  0.   0.   0.   0.29 0.43 0.08 0.   0.73
 0.   0.   0.   0.   0.   0.01 1.72 0.19 0.   0.   0.   0.   0.   0.
 0.23 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.21 0.
 0.01 0.   0.   0.   0.   0.   0.   0.47 0.78 0.   0.37 0.08 0.   0.
 0.   0.   0.   1.52 0.   0.   0.   0.03 0.01 0.17 1.25 0.   0.   0.
 0.01 0.06 0.09 0.06 0.   0.   0.09 0.09 0.01 0.   0.   0.   0.   0.01
 0.   0.01 0.05 0.01 0.1  0.06 0.   0.23 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.03 0.94 0.   0.   0.   0.   0.   0.1  0.01 0.21
 0.   0.   0.19 0.28 0.   0.   0.14 2.41 0.   0.   0.   0.   0.04 0.
 0.   0.07 0.16 0.   0.   0.   0.32 2.03 0.03 0.   0.   0.   0.   0.02
 0.09 0.03 0.   0.   0.01 0.   0.   0.   0.   0.06 0.06 0.   0.85 0.
 0.   0.   0.   0.   0.   0.   1.38 0.   0.   7.57 0.9  0.04 0.   0.01
 0.   0.   0.   0.   0.   0.14 0.   2.04 0.   0.   0.   0.32 0.1  0.
 0.   0.   0.   0.   0.   0.   0.   0.19 0.18 0.   0.   0.   0.83 0.
 0.   0.21 0.02 0.   0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.
 0.   0.   1.62 2.29 0.   0.   0.   0.   0.01 0.   0.03 1.18 0.   0.
 0.   0.04 0.   0.   0.33 0.14 0.18 0.   0.   0.   0.   0.   0.69 0.03
 0.   0.01 0.   0.   0.   0.07 1.3  0.03 0.   0.   0.   0.   1.01 0.
 0.   0.   0.01 0.   0.   1.59 0.19 0.   0.   0.   2.31 0.   0.   0.
 0.   0.   0.38 0.   0.   0.   0.   1.15 0.01 0.   0.   0.   2.5  0.
 1.28 0.   0.   0.04 0.   0.   0.01 0.74 0.   0.12 0.06 1.27 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.13 1.21 0.   0.   0.   0.08 0.   0.   0.   0.   0.
 0.   0.31 0.   0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.03 0.
 0.   0.   0.   0.   0.52 0.16 1.48 0.08 0.   0.   0.   0.   0.   0.
 0.38 0.03 0.   0.   0.01 0.16 0.14 0.46 1.2  0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.52 0.   0.   0.41 0.13 0.   0.11 0.22 0.   0.38
 0.   0.   0.   0.27 0.11 0.   0.03 0.   0.   0.   1.25 0.03 0.   0.01
 0.   0.   0.33 0.31 0.   0.02 0.   0.   0.   0.32 0.08 0.01 0.   1.02
 0.   0.01 0.84 0.   0.   0.08 0.   0.   0.   0.71 0.   0.   0.51 0.05
 0.02 0.57 0.12 0.22 0.17 0.   0.   0.   0.06 0.01 0.   0.   0.03 0.01
 1.29 0.   0.3  0.18 0.   0.   0.25 0.46 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.01 0.08 0.   1.63 0.   0.   0.07 0.05 0.04 0.05
 0.   0.06 0.   0.   0.55 1.94 0.   0.   0.   0.23 0.27 0.   0.   0.
 0.7  0.01 0.   0.   0.21 0.   0.   0.14 0.14 0.   0.   0.19 0.3  0.
 1.21 0.75 0.   0.   0.   0.   0.   0.02 0.11 0.04 0.   0.   0.95 0.22
 0.   0.   0.   0.   0.   0.   0.   0.01 0.   0.   0.14 0.3  0.   0.05
 0.63 0.08 0.   0.   0.   0.02 0.   0.08 0.34 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.04 1.18 0.04 0.   0.06
 0.15 0.   0.03 0.   0.   0.   0.03 1.27 0.   0.   0.33 0.   0.   0.
 0.95 0.04 0.15 0.   0.45 0.   0.08 0.   0.   0.   0.   0.23 0.   0.
 0.   0.24 0.   0.   0.   0.67 0.01 0.   0.   0.1  0.   0.04 0.   0.
 0.   2.01 0.08 0.21 0.   0.07 0.   0.2  0.   0.05 0.06 0.1  0.   0.03
 0.   0.47 0.59 0.01 0.   0.   0.   0.32 0.25 0.   0.   0.   0.05 0.
 0.   0.   0.   0.47 0.   0.   0.   0.   0.   0.01 0.01 0.01 1.   0.66
 0.   0.   0.06 0.   0.   0.   0.   0.   0.51 0.   0.   0.04 0.33 0.08
 0.17 0.   0.04 1.18 0.   0.   0.5  0.55 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   2.18 0.   0.   0.   0.   0.
 0.28 3.26 0.   0.   0.45 0.   0.   0.39 0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.15 2.34 0.01 0.17 0.   0.   0.3  0.
 0.   0.   0.32 0.   0.   0.01 0.04 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.01 0.   0.   0.   0.94 0.   0.08 1.92 0.   0.
 0.   0.   0.   0.01 0.   0.29 0.13 0.   0.3  0.   0.   0.   0.   0.53
 0.1  0.74 0.15 0.   0.   0.   0.   0.   0.   0.   0.16 0.41 0.   0.
 0.   0.   0.72 0.11 0.   0.   0.03 0.   0.02 0.   0.   0.   0.27 2.35
 0.93 0.   0.   0.01 0.28 0.42 0.   0.93 0.04 0.58 0.   0.   0.46 0.13
 0.02 0.   0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.08 1.19 0.
 0.   0.14 0.19 0.   0.   0.   0.05 0.   0.   0.18 0.18 0.   0.   0.
 0.   0.   0.   0.   0.   0.97 0.   0.   0.   0.   0.   0.35 0.   0.
 0.   0.   0.   0.   0.   0.03 0.12 0.   0.   0.   0.   0.   0.32 0.
 0.   0.   0.07 0.   0.   0.   0.   0.04 0.   0.15 0.49 0.   0.   0.
 0.01 0.   0.   0.1  0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.13
 0.04 0.   0.   0.   0.   0.   0.4  0.   0.05 0.37 0.   0.   0.36 0.01
 0.91 0.   0.   0.56 0.   0.   0.   0.   0.56 0.   0.   0.17 0.2  0.
 0.   0.   0.   1.79 0.09 0.04 0.   0.   0.   0.   0.   0.   0.   0.
 0.42 0.11 0.41 0.35 0.31 1.15 1.06 0.   0.62 0.   0.   0.   0.   0.05
 0.   0.16 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.06
 0.43 0.   0.   0.   0.06 0.5  0.54 0.94 0.   0.   0.02 1.83 0.   0.16
 0.61 0.13 0.02 0.5  0.   0.   2.3  0.   0.28 0.45 0.   0.   0.3  0.
 0.73 0.02 0.   0.   0.66 0.   0.6  0.   0.   0.   0.   0.13 0.   0.
 0.   0.33 0.02 0.   0.   0.   0.   0.21 0.02 0.   0.   1.14 0.   0.39
 0.02 0.   1.42 0.6  0.   1.52 0.   0.71 0.   1.05 0.   0.   0.   0.
 0.   0.   0.01 0.52 0.   0.   0.02 0.   0.   0.   0.   0.64 0.   0.
 0.13 0.74 0.02 0.   0.   0.03 0.   0.51 0.55 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.84 0.03 0.   0.   0.   0.   0.01
 0.   0.   0.   0.   0.   0.   0.03 0.   0.14 1.03 0.18 0.   0.   0.
 0.06 0.29 0.   0.   0.   0.16 0.   0.03 0.   0.   0.   0.   0.   0.59
 0.05 0.03 0.29 0.   0.   0.   0.   0.19 1.81 0.   0.   0.62 1.29 0.
 0.   0.17 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.07
 0.04 0.49 0.02 0.   0.   0.   0.18 0.5  0.   0.   0.   0.   0.03 0.
 0.   0.   0.   0.27 0.   0.45 0.73 0.   0.64 0.   0.   0.   1.48 0.
 0.   0.   0.95 0.   0.   0.   0.   0.   0.61 0.13 0.   0.   0.   0.
 0.24 1.48 0.33 0.   0.   0.   0.23 0.03 0.02 0.   0.   0.   0.   0.
 0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.57 0.05 0.   0.   0.
 0.   0.   0.02 1.25 0.   0.   0.09 0.   0.   0.   0.   0.03 0.06 0.
 0.   0.   0.   0.   0.   1.33 0.   0.   0.   0.   0.01 0.43 0.   0.
 0.   0.   0.   0.03 1.2  0.42 2.   1.17 0.01 0.   0.   0.01 0.07 0.
 0.   0.   0.   0.   0.   0.   0.   0.21 3.86 0.24 0.33 0.   0.   0.
 0.   0.   0.   1.34 0.11 0.   0.   0.14 0.   0.34 1.58 2.45 0.01 0.
 0.   0.   0.   0.   0.   0.   0.   0.3  0.   0.   0.   0.   0.   0.
 0.31 0.01 0.   0.   0.   0.03 0.   0.   0.   1.6  0.69 0.05 0.   0.
 0.   0.   0.   1.29 0.   0.   0.   0.   0.04 0.   0.   0.03 0.43 0.
 0.04 0.   0.   0.   1.09 0.   0.   0.   0.   0.   0.03 0.   0.   0.06
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02 0.   0.   0.89 0.25
 0.   0.   0.3  0.01 0.   0.   0.45 0.   0.   0.   0.   0.27 0.   0.
 0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.02 0.   0.   0.   0.84 0.45 0.   0.   0.   0.   0.15 0.   0.   0.
 0.7  0.   0.35 0.   0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.02
 0.   0.   0.   0.   0.   0.   0.09 0.   0.   0.16 0.11 0.   0.   0.
 0.   0.   1.69 1.05 0.02 1.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.15 0.13 0.   0.   0.46
 0.05 0.   0.   0.   0.   0.12 0.   0.   0.   0.   1.33 0.33 0.   1.1
 2.46 0.   0.03 0.34 0.   0.   0.   0.   0.   0.   1.13 0.09 0.   0.61
 0.02 0.   0.   0.   0.03 0.   0.01 0.   0.   0.   0.   0.   0.19 0.
 0.   0.   0.   0.   0.   0.   1.09 0.05 0.   0.   0.04 0.   0.   0.
 0.   0.   0.   0.   0.45 0.21 0.   0.   0.   0.   0.   0.   0.   0.06
 0.16 0.   0.   0.   0.09 1.2  0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   1.38 0.04 0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   1.09 0.52 0.   0.   0.   0.   0.   0.01 0.   0.   0.   0.
 0.19 0.   0.   0.   0.25 0.61 0.   0.   0.   0.   0.   1.27 0.07 0.
 0.41 0.   0.   0.   0.05 1.29 0.77 0.   0.01 0.   0.   0.17 0.7  0.
 0.   0.21 0.   0.13 0.11 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.34 0.   0.   0.05 1.32 0.   0.   0.44 0.   0.   0.
 0.   0.01 2.02 0.08 0.   0.   1.07 0.91 0.   0.   0.   0.   0.56 0.
 0.   0.   0.   0.44 0.   0.87 0.09 0.   0.   0.   0.   0.   0.01 0.13
 0.18 0.   0.   0.06 0.16 0.09 0.02 0.   0.   0.   0.   1.09 0.38 0.
 0.   1.45 0.33 0.   0.03 0.   0.   0.   0.75 0.5  0.   0.   0.   0.31
 0.   0.   0.   0.   0.   0.5  0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.89 0.17 0.67 2.18 0.   0.24 0.07 0.   0.1  0.   0.   0.
 0.   0.   0.   0.29 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.07
 0.   0.55 0.05 0.05 0.05 0.   0.   1.82 0.   0.   0.   0.   0.27 0.26
 0.03 0.   0.   0.   0.   0.1  0.   0.   0.   0.84 0.   0.   0.   0.
 0.4  0.   0.   0.   0.   0.11 0.   0.   0.   0.   0.11 0.   0.   0.
 0.   0.   0.03 0.32 0.14 0.   0.   1.08 0.   0.   0.02 0.   0.76 0.
 0.   0.19 0.16 0.   2.09 0.   0.   0.   0.   5.81 0.56 0.02 0.   0.07
 1.24 0.   0.67 0.   0.   0.   0.49 0.   2.88 3.99 0.   0.   0.   0.
 0.   0.   0.   0.   3.22 1.21 0.9  0.   0.   0.01 0.   0.   0.   0.07
 0.   0.   0.   0.   0.06 0.06 0.02 2.61 0.   0.   0.   0.   0.11 0.4
 0.72 0.39 0.06 0.05 0.   0.   0.   0.   0.   0.   0.   0.   0.45 0.34
 1.02 0.   0.   0.   0.01 1.12 0.01 0.   0.   0.   0.   0.   0.   0.63
 0.   2.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.02
 0.02 0.   0.   0.   0.   0.73 0.07 0.   0.   0.   0.12 1.16 0.46 0.
 0.   0.   0.   0.   0.47 0.   0.   0.   0.   0.   0.   0.2  1.68 0.16
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01 0.11 0.06
 0.75 0.   0.   0.   1.02 0.   0.   0.   0.01 0.05 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.07 1.38 0.09 0.   0.   0.04 0.19 0.   0.
 0.   0.39 0.   0.37 0.   0.   0.18 0.47 0.   0.   0.   0.   0.03 0.
 0.   0.   0.   0.   0.   0.01 0.   0.   0.08 0.01 0.   0.02 0.01 0.19
 0.03 0.02 0.   0.   0.   0.   0.   0.6  0.   0.   0.   0.   0.37 0.13
 0.16 0.12 0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.04 0.   0.
 0.03 0.   0.   0.   0.   0.   0.   0.   0.01 0.06 0.   0.   0.02 0.
 0.11 0.26 0.51 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.01 0.04 0.   0.22 2.45 0.22 0.   0.   0.03
 0.04 0.   0.   0.   0.62 0.08 0.47 0.1  0.   0.   0.01 0.04 0.33 0.19
 0.   0.   0.   0.   0.54 0.09 0.   0.   0.   0.   1.4  0.23 0.03 0.95
 0.   0.02 0.06 0.   0.21 0.01 0.   0.25 0.39 0.01 0.18 0.01 0.01 0.01
 0.   0.   0.   0.   1.02 0.32 0.   0.   0.   0.   0.   0.   0.   0.
 0.35 0.   0.06 0.15 0.   0.   0.   0.21 0.   0.   0.   0.   0.06 0.
 0.   0.5  0.09 0.   0.   0.   0.   0.   0.   0.26 0.   0.   1.76 0.02
 0.58 0.   0.   0.15 0.   0.   0.6  0.   0.18 0.01 0.   0.   0.64 0.
 0.   0.   0.22 0.01 0.   0.   0.   0.24 0.   0.   0.   0.01 0.57 0.
 0.15 0.32 0.   0.   0.   0.   0.   0.   0.   0.   0.61 0.14 0.   0.
 0.   0.   0.   0.   0.13 0.07 0.   0.   0.39 0.   0.   0.   0.   0.
 0.   0.01 0.   0.   1.54 0.   0.   0.   0.22 0.   0.   0.   0.01 0.06
 1.96 0.   0.   0.   0.38 0.   0.   0.   0.   0.19 0.   0.03 0.25 0.
 0.   0.   0.   0.2  0.   0.   0.   0.89 0.   0.   0.   0.03 0.   0.
 0.   0.   0.   0.67 0.27 0.01 0.   0.   0.   0.   0.   0.   1.12 0.06
 0.   0.   0.   0.   0.09 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.01 0.   0.   0.   0.53 0.   0.   0.   0.   0.04 0.   0.07 0.   0.
 0.14 0.36 0.18 0.03 0.06 0.   0.   0.   0.   0.4  0.29 0.51 0.   0.02
 0.7  0.   0.   0.07 0.06 0.99 0.62 0.   0.26 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.55 0.02 0.   0.09 0.12 0.69 0.
 0.   0.   0.   0.   0.   0.   0.   0.07 0.   0.   0.22 0.06 0.04 0.9
 0.   0.02 0.02 0.   0.02 0.   0.   1.15 0.38 0.   0.49 0.   0.03 0.
 0.   0.02 0.   0.   0.15 0.   0.   0.   0.26 0.01 0.   0.14 1.56 0.
 0.   0.   0.   0.   0.   0.   0.19 0.54 0.   0.   0.   0.79 0.   0.
 0.   0.12 0.   0.65 0.36 0.   0.   0.   0.   0.   0.17 0.   0.   0.
 0.   0.   0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.49 0.
 0.63 0.01 0.   0.   0.   0.02 0.01 0.05 0.06 0.   0.   0.   0.   0.
 0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.   3.02 0.5
 0.01 1.09 0.   0.   0.   0.   0.   0.   0.01 0.6  0.   0.   0.   1.81
 0.3  0.14 0.   0.   0.52 0.   0.   0.   0.   0.85 0.87 0.   0.   0.13
 4.16 0.48 0.   1.38 0.09 0.   1.26 0.38 0.   0.   0.01 0.2  0.   0.
 0.   0.   0.   0.   0.   0.05 0.24 0.   0.   0.   0.84 0.08 0.53 0.
 0.   0.   0.   0.22 0.23 0.   0.   0.25 0.06 0.   0.   0.   0.   0.
 0.   0.   0.   0.06 0.31 0.   0.01 0.   0.   0.24 0.01 0.   0.   0.65
 0.   0.06 0.   0.   0.   0.   0.46 0.05 0.   0.   0.05 0.85 0.   0.
 0.   0.   0.   0.   0.   0.   0.25 0.   0.   0.   0.04 0.01 0.43 0.
 0.   0.   0.   0.05 0.03 0.   0.   0.   0.   0.   0.   0.01 0.   1.6
 0.06 0.   0.   0.03 0.   0.   0.   0.   0.72 0.45 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.25 0.   0.   0.
 0.02 0.   0.   0.   0.   0.   0.02 0.   0.01 0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.06 0.13 0.   0.   0.   0.   0.   0.13
 0.   0.   0.   0.   0.03 0.   0.   0.   0.05 0.03 0.22 0.   0.   0.
 0.07 0.   0.   0.   0.51 1.98 0.   0.   0.   0.   0.   0.   0.   0.01
 0.73 0.14 0.08 0.3  0.23 0.   0.   0.   0.73 0.72 0.   0.19 0.   0.
 0.   0.01 0.   0.51 0.   0.   0.   0.   0.   1.2  0.   0.   0.   0.33
 0.29 0.   0.14 0.36 0.   0.   0.   0.11 0.5  0.05 0.   0.38 0.   0.
 0.   0.07 0.   0.   0.46 0.02 0.   0.   0.04 0.   0.   0.   0.04 0.
 0.   0.   0.   1.17 0.   1.43 0.   0.   0.   0.1  0.   0.   0.   1.78
 0.3  0.13 0.   0.   0.16 0.26 0.03 0.09 0.   0.   0.   0.   0.03 0.
 0.   0.   0.   0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.35 0.
 0.   0.   0.   0.   0.   0.92 0.   0.   0.   0.   0.   0.   0.   0.
 0.04 1.81 0.35 0.16 0.   0.   0.07 0.21 0.   0.   0.52 0.34 0.   0.
 0.   0.   0.   0.   0.71 0.05 0.   0.   0.   0.   0.   0.01 0.   0.
 0.02 0.92 0.   0.   0.03 4.97 0.12 0.   0.08 0.02 0.   0.   0.   0.41
 0.04 0.37 0.03 0.   0.   0.01 0.15 1.54 0.   0.   0.   0.   0.   0.24
 0.91 0.4  0.   0.   0.   0.   0.   0.   0.05 0.   0.   0.12 0.   0.87
 0.   0.   0.   1.6  0.   0.02 0.07 1.28 0.   0.   0.   0.   0.   0.15
 0.   0.   0.   0.   0.   0.08 0.07 0.   0.   0.   0.   0.   0.96 1.78
 0.14 0.   0.   0.04 0.39 0.09 0.   0.   0.   0.03 0.46 1.3  0.   0.
 0.   0.   0.   0.   0.   0.19 0.   0.   0.   0.02 0.19 0.   0.   0.
 0.   0.41 0.07 0.   0.   0.   0.   0.   0.   0.   0.   0.19 0.53 0.
 0.   0.   0.01 0.   0.   0.   0.35 0.06 0.01 0.   0.   0.   0.   0.
 0.   0.   0.62 0.   0.   0.   0.   0.   0.11 0.   0.   0.   0.   0.
 0.   0.26 0.   0.   0.37 0.   0.   0.   0.   0.15 0.   0.   0.   0.32
 0.   0.   0.   0.   0.   0.02 0.   0.   1.18 0.   0.   0.06 0.04 0.
 0.   0.33 0.   0.05 0.   0.69 1.11 0.   0.   0.   0.   0.11 1.51 0.61
 0.   0.01 0.   0.   0.   0.   0.   0.05 0.35 0.   0.   0.   0.   0.37
 0.   0.   0.   0.   0.   0.   0.2  0.06 0.   0.03 1.54 0.   0.   0.
 0.   0.   0.   0.7  0.   1.24 0.02 0.   0.   0.   0.09 0.08 0.06 0.
 0.51 1.22 0.04 0.   2.54 0.08 0.01 0.   0.   0.   0.   0.2  0.02 0.
 0.   0.   0.   0.04 0.16 0.8  0.09 0.   0.   0.1  0.   0.   0.   0.
 0.   0.71 0.3  0.   0.05 0.   0.   0.07 0.   0.   0.36 0.   0.   0.
 0.   0.   2.1  0.   0.   0.   0.   0.   0.72 0.   0.48 0.36 0.   0.02
 0.06 0.   0.03 1.02 0.   0.   0.   0.   0.02 0.   0.09 0.01 0.   0.
 0.   0.02 0.   0.   0.14 0.   0.   0.   0.61 0.1  0.   0.   0.   0.
 0.   0.   0.52 0.   0.67 0.25 0.76 0.   0.   0.   0.01 0.46 0.01 0.
 0.   0.81 0.   0.   0.02 0.   0.   0.4  0.   0.   0.   0.   0.05 0.32
 0.27 0.   0.   0.   0.17 0.   0.   0.04 0.01 0.   0.   0.15 0.   0.
 0.17 0.   0.   0.   0.01 0.   0.   0.08 0.   0.   1.37 0.2  0.05 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.3  0.02 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.08 0.   0.   0.   1.46 0.72 0.37 0.   0.
 0.13 0.19 0.   0.06 0.01 0.   0.   0.   0.   0.36 0.57 0.27 0.   0.
 0.   0.   0.64 0.   0.02 0.   0.   0.   1.12 0.29 0.   0.04 0.39 0.
 0.   0.   0.   0.   0.12 0.   0.3  0.   0.   0.   0.   0.42 0.12 0.
 0.   0.32 0.   0.   0.   0.   0.   0.   0.   0.   0.36 0.   0.   1.95
 0.   0.   0.   0.   0.43 0.   0.   0.   0.   0.   0.   1.17 0.   0.
 0.   0.   0.   0.   0.29 0.   0.01 0.32 0.   0.   0.   0.   0.   0.
 0.   0.   0.13 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   1.58
 0.   0.29 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.11 1.26 0.09 1.08 0.35 0.   0.   0.   0.   0.
 0.89 0.   0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.05 0.   0.   1.4  0.04 0.   0.   0.   0.   0.   0.   0.01
 0.   0.   0.   0.   0.26 0.43 0.01 0.   0.   0.   0.   0.   0.   1.25
 0.   0.   0.03 0.   0.   0.   0.   0.   0.02 0.   0.   0.33 0.14 0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.33 0.09 0.04 1.21
 0.   0.   0.   0.   0.19 1.55 0.01 0.01 0.   0.12 0.03 0.45 0.19 0.03
 0.   0.   0.   0.   0.   0.   0.   0.   0.   1.8  0.   0.   0.   0.
 0.   0.24 0.05 0.   0.   0.   0.   0.01 2.31 0.   0.   0.   0.   0.
 0.   0.   0.   0.01 0.   0.73 0.   0.53 0.   0.   0.05 0.   0.01 0.
 0.   0.   0.   0.44 1.01 0.   0.   0.   0.   0.03 0.   0.3  1.22 0.02
 0.   0.   0.   0.05 0.   0.14 0.   0.11 0.   0.   0.   0.   0.   0.
 0.06 0.   0.   0.29 0.   0.02 0.   0.   0.   0.07 0.06 0.   0.   0.
 0.04 0.   0.   0.38 0.   0.   0.   0.02 0.16 0.09 0.47 0.   0.   0.09
 0.01 0.11 0.   0.01 0.2  0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.16 0.   0.   0.24 0.   0.   0.05 0.   0.16 0.04 0.61 0.01 0.
 0.54 0.   0.16 0.   0.   0.   0.   0.25 0.   0.   0.   0.   0.   0.
 0.   0.04 0.09 0.02 0.18 0.   0.   0.   0.   0.   1.65 0.   0.   0.
 0.04 0.4  0.91 0.   0.   0.45 0.   0.   0.   0.   0.   0.   0.   0.22
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.45 0.12 0.01 0.
 0.83 0.   0.   0.49 0.66 0.   0.04 0.08 0.53 0.   0.   0.   0.   0.62
 0.   0.   0.   0.35 0.   0.   0.   0.   0.   0.   1.   0.   0.   0.
 1.09 0.25 1.08 0.   0.   0.   0.   0.   0.05 0.   0.   0.   0.09 0.15
 0.32 0.   0.06 0.   0.11 0.01 0.03 0.01 0.82 0.31 0.   0.   0.   0.01
 0.   0.   0.   0.   0.   0.   0.5  0.   0.   0.   0.   0.   0.   0.
 0.22 0.   0.   0.   0.   0.56 0.   0.   0.   0.   0.68 0.   0.   0.
 0.01 0.2  0.   0.   0.22 0.   0.   0.4  0.   0.   0.   0.   0.   0.
 0.   0.23 0.55 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 1.11 0.29 0.   0.   0.   0.   1.41 0.   0.   0.56 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.   1.81 0.   0.
 0.   0.25 0.31 0.   0.   0.   0.03 0.02 0.   0.   0.   2.2  0.73 0.07
 0.   0.   0.   0.19 0.35 0.09 0.   0.   0.   0.03 0.5  0.   0.   0.
 0.   0.73 0.04 0.   0.   0.   0.   0.   0.47 0.   0.02 0.   0.   0.39
 0.01 0.   0.   0.21 0.58 0.   0.   0.05 0.32 0.   0.   0.   0.52 0.05
 0.   0.12 0.   0.   0.35 0.06 0.   0.1  0.   0.05 1.16 1.18 0.   0.02
 0.   0.   0.   0.   0.06 0.   0.   0.   0.   0.   0.   0.27 0.03 1.16
 0.   0.   0.46 0.02 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.54 0.   0.   0.   0.12 0.   0.   0.   0.   0.   0.1  0.02 0.
 0.31 0.   0.   0.   1.97 0.   0.   0.   0.08 0.   0.   0.   0.   0.
 0.   0.01 0.14 0.26 0.72 0.   0.01 1.51 0.   0.   0.03 1.18 0.   0.73
 0.   0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.   0.   0.   0.17
 0.29 0.11 0.   0.   0.91 0.34 0.   0.   0.06 0.   0.   0.   0.   0.
 3.02 0.18 0.01 0.   0.   0.   0.   0.   1.61 0.02 0.   0.   0.   0.
 0.   0.01 0.   0.59 0.   0.04 0.58 0.1  0.   0.   0.13 0.06 0.03 0.
 0.01 0.01 0.09 0.02 0.06 0.   0.   0.   0.   0.   0.   0.   0.29 0.
 0.   1.39 0.   1.35 0.03 0.   0.   0.04 1.29 0.   0.   0.18 0.   0.
 0.   0.23 0.   0.45 0.   0.   0.   1.78 0.   0.   0.   0.   0.   0.
 0.35 0.   0.   0.   0.   0.   0.01 0.   0.57 0.06 0.74 0.   0.   0.
 0.   0.   0.   0.   0.   0.09 0.   0.15 0.3  0.   0.76 0.   0.   0.
 0.   0.11 0.   0.   0.45 0.   0.   0.88 0.   0.   0.   0.3  0.   0.
 0.   0.   0.   0.   0.29 0.01 0.   0.   0.53 0.74 0.   0.   0.42 0.01
 0.   0.   0.   0.   0.   0.06 0.02 0.   0.   0.   0.   0.22 0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.22 0.26 0.   0.06 0.07 0.   0.08 0.   0.01 0.   0.   0.
 0.   0.   0.   0.   0.2  0.   0.   0.   0.   3.03 0.25 0.   0.   0.
 0.   0.   0.02 0.01 0.7  0.   0.   0.01 0.   0.   0.07 0.   0.   0.2
 0.   0.1  0.23 0.   0.   0.21 0.   0.   0.   0.   0.   0.   0.   0.03
 0.   0.   0.   0.   0.75 0.   0.   0.   0.46 0.   0.   0.   0.   0.09
 0.11 0.   0.   0.02 0.   0.   0.   0.   0.49 0.01 0.23 0.   0.   0.
 0.   0.05 0.   0.   0.   0.   0.76 0.   0.   0.   0.01 0.   0.   0.
 0.54 0.05 0.   0.   0.   0.19 0.   0.   0.   0.   0.01 0.3  0.   0.
 0.   0.   0.21 0.   0.11 0.   0.05 0.18 0.   0.96 0.   0.   0.85 0.
 0.   0.58 1.21 0.   0.   0.08 0.16 0.09 0.52 0.01 0.04 0.   0.06 0.17
 0.06 0.08 0.73 0.   0.   0.   0.38 1.86 0.   0.   0.   0.   1.41 0.
 0.   0.   0.   0.08 0.28 0.01 0.   0.   0.   0.   0.   0.   0.99 0.06
 0.   0.   0.   0.   0.01 0.03 0.03 0.03 0.   0.   0.59 0.26 0.04 0.
 0.11 0.   0.   0.   0.01 0.   0.   0.   0.   0.47 2.82 0.   0.   0.15
 0.   0.   0.   0.   0.05 0.95 0.1  0.05 0.1  0.08 0.   0.   0.   0.02
 0.   0.   0.   0.   0.   0.   0.25 0.   0.22 0.1  0.03 0.58 0.34 0.22
 0.   0.65 0.   0.   0.29 0.29 0.   0.   0.   0.44 0.   0.   0.   0.1
 0.27 0.08 0.25 0.16 0.   0.   0.   0.   0.   0.01 0.   0.   0.04 0.
 0.   0.   0.   0.08 0.07 0.09 0.59 0.1  0.   0.   0.   0.   0.01 1.36
 0.   0.   0.   0.   0.01 0.   0.   0.23 0.   0.   0.   0.   0.   0.71
 0.   0.36 0.64 0.   2.24 0.   0.   0.   0.63 1.06 0.17 0.02 0.73 0.03
 0.25 0.   0.   0.37 0.   0.1  0.51 0.24 0.74 0.   0.   0.05 0.   0.61
 0.   2.9  0.   0.66 0.79 0.   0.   1.04 0.07 0.02 0.   0.11 0.72 0.
 0.   0.   0.   0.   0.   0.   0.   0.03 0.   0.   0.   0.   0.   0.36
 0.   0.02 0.45 0.93 0.02 0.15 0.13 0.   0.   0.   0.01 1.19 0.   0.
 0.   0.   0.   0.   1.95 0.21 0.   0.77 0.   0.   0.   0.69 0.   0.04
 0.   0.   0.   0.   0.   0.   0.84 0.43 0.1  0.   0.05 0.01 0.   0.
 0.   0.06 0.   0.   0.   0.   0.   0.   1.27 0.07 0.03 0.   0.   0.
 0.22 0.37 0.   0.3  0.68 0.   0.   0.77 0.03 0.   0.04 1.06 0.   1.16
 0.31 0.   0.   0.   0.   0.   0.   0.   0.97 0.81 0.85 0.03 0.   0.
 0.02 0.05 0.59 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03
 0.1  0.14 1.43 0.03 0.   0.   0.22 1.61 0.02 0.   0.12 0.   0.   0.
 1.15 0.   0.   1.02 0.06 0.   0.   0.   0.5  0.   0.   0.17 0.06 0.
 0.   0.   0.   0.   0.   0.   0.   0.05 0.29 0.88 0.   0.   0.   1.33
 0.   0.   0.   0.   0.23 0.01 0.   0.   0.   0.   0.   0.   0.45 0.07
 0.37 0.   0.   0.   0.75 0.08 0.   0.   0.   0.04 0.09 0.   0.57 0.1
 0.   0.01 0.58 0.   0.   0.   0.03 0.11 0.53 0.52 0.29 0.   0.   0.
 0.   0.   0.54 0.   0.   0.   0.   0.39 0.   0.   0.   0.   0.   0.75
 0.68 0.   0.   0.   0.   0.   0.   0.   0.   0.06 0.   0.   0.   0.
 0.2  0.   0.   0.26 0.03 0.   0.   0.63 0.24 0.01 0.96 0.   0.01 0.
 0.01 0.7  0.   0.24 0.08 0.   0.02 1.03 0.07 0.01 0.01 0.04 0.   0.01
 0.06 0.11 1.31 0.   0.11 0.   0.   0.04 0.04 1.32 0.7  0.3  0.01 0.12
 0.03 0.   0.06 0.   0.   0.   0.48 0.   0.   0.2  0.   0.17 0.8  0.95
 0.   0.   0.86 0.   0.   0.   0.04 0.   0.   0.   0.62 0.45 0.   0.6
 0.   0.   0.04 0.   0.79 0.11 0.42 0.53 0.   0.   0.   0.86 0.   0.
 0.   0.08 0.06 0.   0.02 0.   0.   0.   0.   0.   0.04 0.   0.   0.79
 0.   0.   0.   0.   0.   1.82 0.51 0.   0.   0.   1.66 0.53 0.02 0.
 0.   0.   0.01 0.   0.01 0.36 0.   0.   0.21 0.   0.   0.04 1.18 0.2
 0.08 0.   0.   0.   0.07 0.   0.   0.   0.   0.64 0.   0.   0.1  1.01
 0.09 0.   0.   0.   0.   0.08 0.   0.   0.   0.   0.3  0.   0.   0.
 0.32 0.02 0.   0.   0.01 0.   0.17 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.11 0.   0.   0.02 0.   0.   0.   0.   0.   0.03 0.34
 0.   0.   0.01 0.2  0.02 0.54 0.   0.   0.   0.   0.   0.   1.83 0.
 0.   0.   0.54 0.   0.57 0.01 0.   0.   0.01 1.38 0.   0.07 0.06 0.54
 0.11 0.   0.   0.   0.   0.   0.1  0.   0.   0.   0.   0.04 0.   0.
 0.   0.   0.   0.48 0.18 0.   0.   0.07 0.03 0.9  0.   0.   0.04 0.
 0.   0.   0.62 0.48 0.02 0.   0.   0.   0.   0.   1.57 0.13 0.26 0.
 0.81 1.16 0.   0.1  0.9  0.03 0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.25 0.74 0.02 0.   0.   0.15 0.27 0.   0.04 0.   0.   0.
 0.   0.   0.05 0.   0.07 0.   0.11 0.   0.37 0.   0.   0.   0.   0.
 0.   0.85 0.   0.   0.   0.   0.   0.02 0.   0.07 0.   0.   0.   0.51
 0.25 0.   0.   0.37 0.28 0.13 0.39 0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.14 0.   0.4  0.   0.   0.   0.   0.26 0.   0.
 0.37 0.   0.   0.   0.   0.   0.03 0.26 0.   0.   0.   0.16 0.   0.93
 0.   0.   0.   1.16 0.   0.01 0.   0.   0.45 0.05 0.04 0.06 0.   0.
 0.13 0.02 0.   0.07 0.   0.2  0.12 0.01 0.   0.   1.92 0.   0.   0.
 0.07 0.22 0.   0.   0.18 0.   0.13 0.48 0.   0.22 0.   0.   0.01 0.71
 0.21 0.   0.04 0.   0.   0.06 0.   0.45 0.03 0.   0.05 0.   0.   0.
 0.07 0.01 0.   0.   0.   0.   0.   0.03 0.65 0.   0.   0.   0.   0.
 0.03 0.02 0.   0.   0.   0.45 0.16 0.26 0.06 0.   0.   0.   0.   0.05
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.09 0.11 0.58 0.   0.03 0.   0.13 0.   0.   0.54 0.   0.02 0.
 2.54 0.76 0.04 0.02 0.   0.   0.   0.03 0.   0.   0.   0.   1.42 0.
 0.19 0.   0.   0.   0.   0.   0.08 0.78 0.   0.   0.54 0.55 0.   0.
 0.46 0.   0.   0.   0.   1.76 0.24 0.   0.   0.21 0.14 0.2  0.14 0.
 0.   0.   0.   0.   0.36 0.   0.42 0.   0.01 0.   0.   0.23 0.14 0.71
 0.   0.   0.   0.   0.   0.   1.2  0.   0.   0.   0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.03 0.02 0.47 1.14 0.
 0.04 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.96 0.34 0.   0.
 1.36 0.01 0.   0.   0.   0.   0.   0.   0.   0.02 0.02 0.   0.11 1.53
 0.64 0.   0.4  0.   0.   0.   0.   0.   0.   0.   0.   0.   0.78 0.24
 0.19 0.   0.07 0.   0.   0.   0.   0.   0.   0.   0.54 0.   0.   0.79
 0.   0.   0.   0.98 0.   0.   0.   0.11 1.02 0.   0.   0.   0.05 0.
 0.   0.   0.   0.26 0.   0.86 0.66 0.   0.   0.01 0.   0.   0.   0.24
 0.92 0.   0.   0.   0.   0.   0.48 0.62 0.05 0.22 0.02 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.38 0.78 0.   0.   0.   0.02 0.
 0.   0.   0.   0.   0.1  0.   0.   0.   0.   0.12 1.85 0.13 0.01 0.
 0.07 0.   0.39 0.   0.   0.01 0.1  0.   0.   0.   0.02 0.82 0.   0.45
 0.14 0.   0.   0.52 0.01 0.   0.   0.   0.39 0.22 0.16 0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.6
 0.07 0.   0.   0.   0.   1.27 0.01 0.19 0.   0.76 0.   0.   0.35 0.03
 0.   0.   0.   0.   0.   0.   0.   0.01 0.01 0.42 0.49 0.06 0.   0.83
 0.04 0.   0.   0.   0.   0.11 0.   0.   0.   0.59 0.   0.   0.05 0.02
 0.03 0.   0.   0.58 0.23 0.31 0.   0.   0.05 0.47 0.03 0.   0.   0.
 0.   0.   0.01 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.07 0.02
 1.22 0.46 0.89 0.02 0.   0.   0.38 0.39 0.   0.   0.07 0.47 0.01 0.
 0.   0.   0.01 0.22 0.   0.   0.   0.   0.14 0.   0.   0.24 0.   0.
 0.   0.04 0.   0.   0.   0.65 0.9  0.67 0.34 0.   0.   0.55 0.   2.27
 2.06 0.27 0.01 1.42 0.   0.   0.   0.   0.62 0.03 0.01 0.   0.05 0.
 0.01 0.   0.49 0.78 0.   0.14 0.47 0.   0.   0.04 0.   0.   0.   0.
 0.   0.   0.21 0.   0.83 0.18 0.   0.   0.   0.   0.   0.   0.   0.2
 0.   4.45 2.67 1.07 0.   0.   0.   0.67 0.   0.   0.   0.   7.13 0.1
 0.   0.   0.02 0.   0.   0.   0.26 0.   0.   0.   0.12 0.   0.   0.
 0.   0.   0.   0.   0.09 0.01 1.37 0.66 0.   0.   0.   0.27 0.   0.
 0.   0.   0.   0.15 0.   0.   0.   0.   0.   0.11 0.   0.   0.   0.
 0.   0.25 0.   0.   0.   0.   0.   0.   0.01 0.03 0.23 3.3  0.16 0.
 0.41 0.57 0.04 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.01
 0.48 0.33 0.02 0.   0.   0.   0.09 0.01 0.   0.01 0.04 0.   0.   0.01
 0.12 0.   0.   0.   0.   0.   0.04 0.   0.   0.   0.42 0.   0.04 0.
 0.   0.17 0.   0.   0.   0.   0.   0.   0.06 0.02 0.   0.   0.12 0.
 0.03 0.16 0.   0.09 0.05 0.14 0.05 0.   0.79 0.04 0.   0.   0.23 0.
 0.38 0.   0.1  0.   0.   0.   0.   0.   0.   0.37 1.16 0.   0.   0.3
 0.   0.   0.02 0.   0.   0.   0.   0.13 0.77 0.   0.   0.   0.   0.42
 0.72 0.   0.   0.15 0.07 0.   0.   0.   0.   0.23 0.   0.   0.   0.31
 0.33 0.   0.   0.   0.26 0.   0.   0.74 0.   0.   0.   0.   0.   0.03
 0.   0.   0.06 0.03 0.   0.56 0.   0.   0.5  0.   0.   0.   0.   0.08
 0.   0.05 0.   0.   0.   0.06 0.93 0.02 0.   0.   0.   0.   0.   0.07
 0.28 0.   0.12 0.   0.04 0.45 1.12 0.03 0.05 0.   0.   0.07 0.   0.06
 0.   0.2  0.   0.85 1.24 0.   0.   0.   0.   0.   0.   0.02 0.   0.
 0.   0.   0.   0.23 0.   0.08 0.   0.69 0.92 0.   0.   0.   0.   0.
 0.03 0.22 0.1  0.12 0.   0.01 0.73 0.4  0.   0.   0.   0.   0.   0.
 0.27 0.72 0.   0.   0.   0.71 0.45 0.   0.   0.   0.   0.08 0.03 0.83
 0.   0.   0.05 0.   0.   0.   0.32 0.   0.   0.   0.   0.06 0.02 0.08
 0.   0.   0.   0.29 0.   0.   0.   0.   0.   0.   0.   0.09 0.   0.
 0.24 0.   0.   0.   0.   0.   0.   0.   1.11 0.   1.85 0.   0.   0.16
 0.   0.   0.   0.98 0.   0.   0.02 0.1  0.   0.   0.48 0.   0.   0.
 0.   0.   0.16 0.   0.03 0.   0.11 0.   0.   0.   0.   0.   0.34 0.
 0.   0.   0.   0.23 0.   0.   0.   0.24 0.   0.   0.   0.12 0.   0.
 0.   0.   0.   0.06 0.78 0.   0.   0.   0.   0.32 0.81 0.41 0.   0.
 0.   0.   0.   0.14 0.   0.   0.47 0.   0.   1.11 0.   0.   0.   0.
 0.   0.59 0.   0.47 1.85 0.37 0.   0.   0.03 0.   0.   0.   0.   0.8
 0.19 0.   0.   0.14 0.   0.   0.   0.   0.   0.02 0.52 0.   0.   0.
 0.   0.   0.   0.1  0.08 0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.89 0.08 0.04 0.   0.56 0.28 0.   0.   0.   0.   0.   0.   0.   0.
 0.02 0.   0.7  0.   0.   0.5  0.   0.   0.49 0.   0.   1.05 0.26 0.
 0.   0.   0.32 0.01 0.   0.   0.51 0.85 0.   0.   0.   0.   0.   0.23
 1.83 0.   0.   0.   0.   0.   0.   0.   0.28 0.   0.02 0.42 0.02 0.01
 0.27 0.   0.   0.01 0.   0.   0.3  0.09 0.   0.   0.   0.   0.05 0.87
 0.   0.   0.51 0.41 0.   0.9  0.44 0.   0.   0.   0.   0.06 0.02 0.
 0.   0.   0.   0.   0.02 0.   0.   0.   0.   0.01 0.   0.   0.   0.07
 0.18 0.   0.   0.   0.27 0.14 0.02 0.   0.   0.   0.21 0.34 0.   0.
 0.15 0.99 0.   0.   0.06 0.   0.   0.36 0.4  0.   0.67 0.13 0.   0.
 0.   0.02 0.   0.   0.   0.   0.09 0.   0.15 0.   0.29 0.   0.   0.01
 0.   0.38 0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.
 0.   0.02 0.   0.   0.   0.   0.   0.   0.68 1.51 0.   0.   0.   0.
 0.33 2.46 2.32 0.09 0.25 0.   0.05 0.   0.   0.02 0.   0.   0.   0.
 0.   0.   0.   0.   0.   0.   0.   0.   0.77 0.02 0.   0.   0.08 0.
 0.   0.   0.   0.   0.   0.   0.   0.24 0.   0.   0.   0.   0.   0.
 0.   0.   0.01 0.3  0.   0.14 0.   0.23 0.   0.   0.   0.   0.   0.
 0.04 0.07 0.   0.51 0.08 0.   0.   0.   0.   0.58 0.45 0.63 0.   0.
 0.   0.   0.98 0.   0.   0.   0.   0.48 0.04 1.32 0.   0.22 0.   0.
 0.15 0.   0.   0.   0.28 0.   0.15 0.   0.06 0.   0.   0.   0.   0.
 0.   0.   0.   1.12 0.01 0.   0.48 0.   0.   0.69 0.02 0.77 1.33 0.
 0.77 0.   0.   0.   0.   0.   0.14 0.44 0.52 0.   0.   0.   0.27 0.
 0.   0.   0.   0.   0.   0.   0.   0.1  0.02 1.8  1.66 0.   0.22 0.
 0.   0.   0.21 1.34 0.   0.   0.   0.   0.96 1.25 0.59 0.2  0.   0.38
 5.48 0.04]

One thing that does immediately pop out is that a lot of the values are exactly zero. That makes sense—in New York City at least, most days don’t have any rain.

But beyond that single inference, clearly there’s just way too much for the data to “speak for itself”. In fact, that’s true for anything more than a few data points. Moreover, while more than 50,000 data points may sound like a lot, in the Earth Sciences it’s not uncommon to work with datasets with billions of values.

An example of a much bigger dataset

For example, consider one of the modern reanalysis datasets widely used by atmospheric scientists, meteorologists, and climate scientists (specifically, ERA5 produced by the European Centre for Medium-Range Weather Forecasts), which provides estimates of past weather conditions all over the globe. This dataset outputs data on a regular latitude-longitude grid with spacing of 0.25\(^\circ\) in latitude and 0.25\(^\circ\) in longitude between points. So that’s 360 / 0.25 = 1440 longitude points, 180 / 0.25 = 720 latitude points, and thus a lat-lon grid of 1440 x 720 = 1,036,800, i.e. just over a million points.

But that’s for one single variable at one single time! ERA5 provides values every hour of dozens of variables spanning from 1950 to essentially the present. So, picking just one of these fields, that’s (24 hours / day) x (365.25 days / year) x (73 years) = 639,918 values in time at each lat-lon gridpoint, for a total of 1,036,800 x 639,918 = 663,466,982,400 data points! So that’s over 660 billion values per variable!

(And many atmospheric variables like temperature, wind speed, and humidity, are defined not just at Earth’s surface or a single level, but on as many as 37 levels extending from near the surface to high up into the stratosphere. So for those you’re well over a trillion values per variable.)

Upshot: Pretty much always, we need to translate our raw data into digestible chunks: individual numbers and plots that capture key things about the dataset we want to know. And that’s exactly what statistics provides.

Maybe that’s being unfair. Of course “speak for itself” doesn’t mean dumping the numerical values out, it means plotting them! So let’s try that:

# First, import the matplotlib package that we'll use for plotting.
from matplotlib import pyplot as plt
Hide code cell content
# Then update the plotting aesthetics using my own custom package named "puffins"
# See: https://github.com/spencerahill/puffins
from puffins import plotting as pplt
plt.rcParams.update(pplt.plt_rc_params_custom)
# Create the figure and the axes that the data will be plotted on.
fig = plt.figure()
ax = fig.subplots()

# Now actually plot the data.
precip_central_park.plot(ax=ax, linestyle="none", marker=".", markersize=2)
ax.set_xlabel("")
ax.set_ylabel("daily precip [inches]")
Text(0, 0.5, 'daily precip [inches]')
../_images/760e6e05b089e935eee3c77a3509416d6508f02b0cab73fc999d77dc8e161318.png

Much better. There’s now quite a lot we can infer, right away:

  • The highest value ever recorded was over 8 inches, somewere just after 1880

  • There have been five total times it exceeded 6 inches

  • It’s “jumpy”: values can go from very low (including zero) to very high from one day to the next or from very high to very low

  • There’s not an obvious strong seasonal signal

BUT there’s still so much more we can’t infer.

  • Is there a long term increasing or decreasing trend that we could be confident of?

  • Despite the overall “jumpiness,” and lack of strong seasonality, are there discernible cycles (e.g. every four weeks, three years or 2 decades) where values tend to be higher or lower than the long-term average?

AND we haven’t actually let the data speak for itself: we chose to plot it in a particular way, as a timeseries. But there are other ways, and these change what things you can and can’t infer!

Let’s compare this to the daily average air temperature data from the same Central Park dataset:

temp_central_park = ds_central_park["temp_avg"]
fig = plt.figure()
ax = fig.subplots()
temp_central_park.plot(linestyle="none", marker=".", markersize=2)
ax.set_xlabel("date")
ax.set_ylabel(r"daily temperature [$^\circ$F]")
Text(0, 0.5, 'daily temperature [$^\\circ$F]')
../_images/de4ede3b3141d3e0963b5463a709bb5e77aa689a6981e1c6690bdbb2bd2e4ff0.png

Much different! Among many other things that we can infer (which we’ll save until the next lecture on descriptive statistics), we can see that daily rainfall and daily temperatures at Central Park behave very differently in many ways.

That said, for temperature too, clearly there is way too much going on to be able to take it in at a glance and truly understand it: here again, we need statistics.

1.1.2. “Methods”#

Think of methods as just another word for tools. As such, what we’re after in this course is building a toolkit of statistical techniques that will be valuable to you in your research and other coursework. This has some important implications:

  • We’ll focus less on the underlying theoretical basis for the techniques we’ll discuss. Just enough to be confident in their meaning, their conceptual basis, and their interpretation.

  • We’ll focus more on implementing them IRL (in real life). That means coding them up and using them to analyze real datasets from the Earth sciences.

  • We’ll devote time not just to specific analysis techniques, but all the other steps in the pipeline from a raw data file to accurately generated statistical measures and pretty plots. That includes things like:

    • setting up your computational environment (python, conda, jupyter, …)

    • dealing with different file formats (netCDF, CSV, .xls, grib, …)

    • cleaning your data (missing data, clearly wrong data, probably wrong data, …)

    • computer performance, i.e. making your calculations run in a reasonable amount of time (vectorized routines, parallelization, …)

1.1.3. “in Earth and Atmospheric Sciences”#

Of course, being in the EAS department, we will focus almost exclusively on datasets and problems that arise in the Earth and Atmospheric Sciences (as opposed to, say, medicine or sociology). And my own research emphasis with EAS is on rainfall and how it varies on many timescales (day to day, season to season, year to year, etc.), which will bias the example datasets used in that direction. Finally, at The City College of New York after all, we’ll use data from our own backyard as much as possible—chiefly, this Central Park weather station dataset introduced above.

But the overall approach—how to characterize datasets as succinctly and accurately as possible, individually and as they relate to one another—is universally applicable. Likewise for the vast majority of the individual tools themselves; with modest effort nearly all of them can be adapted to a wide array of datasets, e.g. time series of economic data, astronomical data from telescopes, biometric data from your smart watch.

1.2. Why care about statistics at all?#

Why bother with things like conditional probabilities, autocorrelations, covariance matrices, etc., which especially if you haven’t heard of them before might sound like kind of a pain? Well, virtually every major problem in the Earth sciences—and in fact, virtually every major problem facing the world—ultimately has a statistical basis.

In the Earth sciences, that includes all of the following questions:

  • Are extreme rainfall events in New York City becoming more frequent?

  • How does the El Niño-Southern Oscillation influence wintertime temperatures in East Asia?

  • In ice core records of Earth’s climate going back thousands and millions of years, are there key recurring cycles, and if so how long do they last?

  • What is the relationship between air pollution and child asthma?

    • Based on that, is there a meaningful difference in child asthma incidence in Harlem vs. the Upper East Side that can be attributed to different levels of air pollution in the two places?

For each of these, there is no single objectively right answer. Earth’s weather and complicated are incredibly complicated systems, with behaviors varying widely across space and time. Our observational records of those behaviors—a remarkable achievement of humanity, science, technology, and geopolitics to be sure—are necessarily incomplete and imperfect. The computer models we use to simulate Earth’s climate (also remarkable achievements) are today and will always be imperfect.

But through careful analysis using the right statistical techniques, we can provide reasonable answers to these questions and many more like them. And these can improve decisions and outcomes in the real world, for individuals (for example, you knowing to bring an umbrella thanks to an accurate forecast of rain) to institutions (for example, where to place and how to design subway entrances given statistical models of flood risk).

1.3. Numeracy#

1.3.1. What numeracy is#

As said above, we’re aiming to build a toolbox of quantitative techniques. But perhaps even more important than equipping you with a collection of tools to draw from, we want to develop a state of mind for quantitative data analysis. I’ll use the term numeracy as a shorthand for this.

Numeracy (as we’ll use it) is the ability to accurately assess quantitative claims. The word is a direct analogy to literacy: literacy (the ability to read) enables a person to properly evaluate claims written in words; numeracy enables a person to properly evaluate claims consisting of numbers.

One part of numeracy is assessing not just the sign (decreasing/increasing; more/less) but the magnitudes of different quantities that come up. Consider the following three percentage changes in some quantity: -5%, +0.1%, +1000%. Sure, the first one is a decrease while the second two are an increase, but in terms of magnitude the first two are much more similar—(namely, a small change) than the third (a 10-fold increase).

Another part of numeracy is understanding the relevant uncertainties. There are virtually no interesting questions in the Earth sciences for which one can generate answers with very little uncertainty.

1.3.2. Numeracy (made-up) example: a severe storm and climate change#

Imagine that tomorrow night an intense rain storm hits New York, breaking the record daily value in our Central Park dataset. One interesting question among many that we’d like to know is what role climate change had in this event.

Non-numerate claims include both of the following:

  1. “This storm was caused by climate change.”

  2. “This storm was not caused by climate change.”

Why aren’t they numerate? Well, in short, there are no numbers! What does “caused” mean precisely here? Does claim #1 mean that, if climate change wasn’t happening, the storm wouldn’t have occurred at all? Or something else? Conversely, does claim #2 mean that this storm would have been identical with or without climate change? Absent additional information, it is impossible to answer these or other questions about either claim, rendering them close to worthless.

Here’s a partially numerate claim; let’s imagine a scientist and her research group studied the storm and came to the following conclusion: “The storm was 20% stronger because of climate change.”

That’s definitely an improvement! We now have a quantification of just how much the storm was affected by climate change, namely that it was strengthened by 20%.

However, even this still is much too vague to be properly evaluated. What exactly does “strength” mean? Does it refer to the storm’s winds, or rainfall, or some combination of the two, or something else entirely? We have no way of knowing.

The scientist now clarifies this: “The peak hourly rainfall accumulation located at any point within the storm was made 20% higher because of climate change.”

Better still! We now have a very precise understanding of what physical quantity is being referred to. But this is still missing a crucial factor: uncertainty quantification. Even without knowing precisely how these scientists came to this value of 20%, it is certain that there are sources of error and/or uncertainty as part of their methods. And without some reasonable estimate of the uncertainties, any scientific claim is deeply incomplete. For, imagine the following scenarios:

  1. The peak hourly rainfall accumulation (…) was 20% higher, with a 95% confidence interval of 19.2% to 21.4%.

  2. The peak hourly rainfall accumulation (…) was 20% higher, with a 95% confidence interval of -90% to +150%.

In Scenario #1, there is little uncertainty (at least as indicated by the “95% confidence interval”, whatever that precisely means). So the “central” value of 20% is, by itself, pretty useful. Whereas in Scenario #2, the uncertainty range is huge! It spans both huge decreases and even larger increases, making the central value of 20% almost useless.

Real-world analogy: meeting up with a friend

Consider a real-world analogy: suppose you’re texting with a friend to make plans for the weekend. Your friend says “I’ll meet you at the movie theater at 7pm, but it could be as early as 4pm or as late as 10pm.” How useful is that to you in your planning, compared to if they had said instead, “I’ll meet you at the movie theater at 7pm, but it could be as early as 6:50pm or as late as 7:05pm”?

In the same way, in science (not just Earth and Atmospheric Sciences), the larger the uncertainty in a quantity, the harder it is to, roughly speaking, usefully do things with it. So knowing that uncertainty is almost as important as knowing the central value itself!

So we’ve arrived at a nearly numerate claim. It precisely identifies the physical quantity being consiered and reports both a central value for that quantity and an estimate of the uncertainty in that value. But there’s still one key thing missing. Do you know what it is?

We don’t know anything about how this value or its uncertainty were actually calculated! In other words, we don’t know the scientist’s methods. Was this based on a purely statistical model (for example, comparing a stationary vs. non-stationary Generalized Extreme Value model to observational data at the Central Park weather station)? Or was it the result of simulations run with computer climate models in which the storm was simulated in one case with the observed conditions (i.e. the climate change case) vs. in another case with CO2 and other factors set to their “preindustrial” values (i.e. the hypothetical case where there was no human-driven climate change).

Neither approach is obviously worse or better. And it’s possible that the two approaches could ultimately result in very similar answers! In that case, we’d trust the combined result even more (not worrying precisely “trust” means in this context). But it’s also possible (this happens all the time) that two different methodologies (or even just different climate models but otherwise identical methodologies) yield extremely different results!

1.3.3. Lies, damned lies, and statistics#

There are three kinds of lies: lies, damned lies, and statistics.

—Mark Twain

This well-known quote is most often used to refer to deliberate misinformation: using statistical techniques to purposefully present data in a misleading or incomplete way, in order to promote a preferred agenda or narrative.

This is misconduct, plain and simple. You should never do this. Or, even worse, fraud: not just using statistical trickery to give the wrong impression of a dataset, but actually going in an directly altering, deleting, or removing values of the dataset. (This happens! Currently in September 2023, the field of behavioral economics is being roiled by a huge scandal in which several of its most famous scientists have been very credibly accused of repeated fraud. E.g. here, here, and here.)

All that (I hope!) is obvious enough.

But we conclude this chapter with this quote to bring up a subtler form of “lying”, which is lying to yourself. Above, we emphasized that data can (virtually) never “speak for itself”: it must be interpreted, synthesized, plotted, condensed, etc. And human beings invariably generate narratives to explain things. So we inevitably create narratives while we’re analyzing a dataset and rely on that narrative when we present our findigns from that dataset. There’s nothing inherently wrong with this—it’s simply how we as humans are.

The problem comes when the narrative we construct from the dataset is overly influenced by things other than the data itself, and even without us deliberately or consciously trying to “spin” things. All too often, we come to a dataset with a pre-existing theory/narrative/expectation about what we’ll find in the dataset, and then because of the foibles of human psychology, we only see evidence that confirms it! This confirmation bias is one of many cognitive biases that scientists—being human beings—fall prey to over and over again.

As such, part of the numerate mindset that this course seeks to help you cultivate is being aware of these tendencies—to recognize them, accept them for what they are, and as much as possible circumvent them. It is indeed impossible for data to “speak for itself.” But we can strive in our quantitative analyses to tell the story that the data would tell if it could talk.