Completely on Matlab

1. Download and install MATLAB. Develop the following function using MATLAB
a. Write a script that loads data from a file and display the first five instances. Create a matrix from the loaded instances.
b. Divide the loaded instances into two sets with one set containing 70% of the instances and the other containing 30% of the instances. Save each set into a variable. Name the variables ‘TrainingSet’ and TestingSet’.
c. Save the two new variable to a ‘.mat’ file.
2. Implementing Fisher LDA method using MATLAB.
a. Write functions that take the provided data set and compute the optimal projection vector following the fisher criterion.
b. The output from the main function must be the identified projection vector.
3. Write functions to evaluate the LDA method using MATLAB.
a. Write a script to perform cross-validation and report the average accuracy, standard deviation, sensitivity, and specificity.
NOTE: There is no requirement to develop a GUI to visualize the intermediate or the results.
A report that includes the following items is due in addition to the source code for the functions:
– A description of each function,
– How to run the functions to get the reported results, and
– The experimental results.
matlabmatlab
ATTACHED FILE(S)
CSCE 5216 – Summer
2022
Assignment 1
1. Download
and install MATLAB. Develop the following function using MATLAB
a. Write
a script that loads data from a file and display the first five instances.
Create a matrix from the loaded instances.
b. Divide
the loaded instances into two sets with one set containing 70% of the instances
and the other containing 30% of the instances. Save each set into a variable.
Name the variables ‘TrainingSet’ and TestingSet’.
c. Save
the two new variable to a ‘.mat’ file.
2. Implementing
Fisher LDA method using MATLAB.
a. Write
functions that take the provided data set and compute the optimal projection
vector following the fisher criterion.
b. The
output from the main function must be the identified projection vector.
3. Write
functions to evaluate the LDA method using MATLAB.
a. Write
a script to perform cross-validation and report the average accuracy, standard
deviation, sensitivity, and specificity.
NOTE: There is no requirement to develop a GUI to
visualize the intermediate or the results.
A report that includes the following items is due in
addition to the source code for the functions:

A description of each function,

How to run the functions to get the reported results, and

The experimental results.
A 1 1 3 2 1 8 2 2 2 8 2 8 1 6 2 7
A 3 7 5 5 3 12 2 3 2 10 2 9 2 6 3 8
A 3 8 5 6 3 9 2 2 3 8 2 8 2 6 3 7
A 2 1 4 2 1 8 1 2 2 7 2 8 2 5 2 7
A 3 7 5 5 3 10 4 1 2 8 3 9 2 4 2 7
A 2 4 4 3 2 10 2 2 2 9 2 9 2 7 3 9
A 2 8 4 6 2 12 2 4 3 11 2 10 3 6 3 9
A 8 15 7 8 4 8 2 3 2 8 5 12 5 4 5 5
A 3 3 5 4 1 7 6 3 0 7 0 8 2 7 1 8
A 3 5 5 7 2 7 7 3 1 6 0 8 3 7 1 8
A 2 7 4 5 3 13 3 3 2 10 1 8 2 6 2 8
A 4 9 6 6 2 10 5 3 1 8 1 9 2 7 2 8
A 6 9 8 8 8 8 7 3 5 7 8 8 6 8 4 5
A 5 10 7 8 5 8 3 3 1 7 1 8 5 9 5 8
A 3 7 5 5 3 11 3 2 2 8 2 9 3 4 2 8
A 1 3 2 2 1 10 3 2 1 9 2 9 1 6 1 8
A 2 7 4 4 2 7 3 3 2 7 2 8 3 7 2 8
A 3 6 5 4 3 12 3 2 2 9 2 9 2 6 2 8
A 2 6 4 4 2 12 2 4 3 12 2 10 2 6 3 9
A 3 9 5 7 3 12 3 4 3 11 1 9 2 6 3 9
A 3 8 5 5 1 6 6 3 1 6 0 8 2 6 1 7
A 3 9 6 7 3 11 2 3 3 10 2 9 2 6 3 8
A 4 9 6 6 2 7 4 3 2 7 1 8 3 7 3 8
A 5 11 7 8 4 8 3 2 3 7 1 8 2 7 3 7
A 3 8 5 5 2 7 4 3 1 7 1 8 3 7 2 8
A 3 9 6 7 4 11 3 2 2 9 2 9 3 4 3 8
A 4 9 6 7 4 10 3 2 2 8 2 10 4 4 3 8
A 3 5 5 5 4 9 8 3 4 6 8 7 4 10 4 5
A 3 10 6 8 4 12 2 3 3 10 2 9 2 6 4 8
A 1 1 3 2 1 6 2 2 1 6 2 7 1 6 2 6
A 2 3 3 2 1 8 2 2 1 6 2 8 2 7 2 7
A 3 3 5 4 1 9 3 3 2 8 2 9 3 6 2 8
A 2 4 4 5 1 8 6 3 1 7 0 8 2 6 1 8
A 3 6 5 4 2 9 2 2 2 7 1 8 2 7 3 7
A 3 4 5 6 2 8 5 3 1 7 1 8 2 7 2 8
A 4 9 6 7 3 11 2 4 3 10 2 9 3 7 3 8
A 7 15 5 8 4 10 3 3 2 8 4 11 5 5 4 8
A 1 3 2 2 1 9 3 2 1 8 2 9 1 6 1 7
A 6 14 6 8 4 12 2 3 2 12 4 11 4 4 4 11
A 3 6 5 4 3 11 2 2 2 9 2 9 2 6 3 8
A 3 6 5 4 1 7 5 3 1 6 1 8 2 7 2 7
A 4 10 7 7 5 7 5 2 3 5 2 6 3 7 4 4
A 2 7 4 5 2 12 2 4 3 11 2 9 2 6 3 9
A 3 4 6 6 2 9 3 3 3 8 2 9 3 6 3 9
A 7 13 7 7 4 12 3 6 2 12 2 10 5 3 4 10
A 3 7 5 5 3 11 2 2 2 9 2 9 3 6 3 9
A 3 3 5 4 1 8 6 3 1 7 1 8 2 7 1 8
A 2 1 3 2 1 8 2 2 1 7 2 8 2 7 2 7
A 1 3 2 2 1 10 2 2 1 9 2 9 1 6 2 8
A 2 6 4 4 1 8 5 3 1 7 1 8 2 7 2 8
A 1 0 2 0 0 8 4 2 0 7 2 8 1 6 1 8
A 3 6 5 4 2 11 2 4 2 10 2 10 2 7 3 8
A 4 12 7 8 3 7 4 3 2 6 1 8 3 7 3 7
A 4 11 6 8 4 8 3 2 3 6 1 8 2 7 3 7
A 2 4 4 3 2 9 2 2 1 8 2 9 2 7 2 8
A 3 9 5 6 3 9 3 2 3 7 1 8 2 6 2 7
A 5 8 8 7 7 8 7 2 5 7 8 8 5 10 3 6
A 2 4 3 2 1 8 2 2 2 8 2 8 2 6 2 7
A 7 12 6 6 3 9 0 3 2 9 4 12 3 5 4 6
A 3 6 4 4 2 8 2 2 2 7 2 8 2 6 3 7
A 1 0 2 1 0 8 4 2 0 7 2 8 2 7 1 8
A 1 0 2 0 0 7 4 2 0 7 2 8 1 6 1 8
A 2 5 4 3 2 10 2 3 2 10 2 9 2 6 2 8
A 4 9 5 6 4 7 5 3 0 6 1 8 2 7 1 7
A 3 9 5 7 3 13 3 3 2 11 1 8 2 6 3 9
A 5 10 8 8 5 11 3 1 2 8 2 9 4 6 3 8
A 3 9 5 7 3 9 3 2 2 8 1 8 2 6 3 7
A 4 6 6 5 5 8 8 3 5 7 8 7 5 10 4 6
A 3 8 5 6 3 7 5 3 0 7 1 8 2 7 1 8
A 3 11 6 8 4 12 2 2 2 9 2 9 2 6 3 8
A 2 4 3 3 1 10 2 3 2 10 2 9 2 6 2 8
A 3 8 5 5 2 7 5 3 1 6 1 8 2 7 2 7
A 3 9 6 6 3 11 3 2 2 9 2 9 3 5 3 8
A 2 2 4 3 2 8 2 2 2 8 2 8 2 6 3 7
A 3 11 5 8 4 12 3 3 3 10 1 9 2 6 3 8
A 3 11 6 8 2 8 6 3 1 7 0 8 3 7 2 8
A 3 8 6 6 4 8 5 2 4 6 2 6 2 6 2 6
A 6 9 6 5 3 13 0 5 1 12 3 11 2 3 2 10
A 3 8 5 6 3 11 2 3 3 10 2 9 2 6 3 8
A 2 6 5 4 3 6 5 1 3 5 2 7 2 6 3 4
A 5 12 5 6 3 14 0 4 2 12 3 11 2 4 2 10
A 1 0 2 1 0 7 4 2 0 7 2 8 2 7 1 8
A 3 10 6 7 4 11 3 2 2 9 2 9 3 7 3 9
A 2 1 3 1 1 7 4 2 0 7 2 8 2 6 2 8
A 4 11 7 8 6 7 5 1 4 5 2 6 5 6 6 6
A 6 11 8 9 8 7 7 8 4 8 5 8 4 8 10 1
A 2 7 4 5 3 12 3 2 2 9 2 9 3 7 3 9
A 7 9 10 8 8 6 8 2 4 7 7 9 8 6 4 8
A 3 8 5 5 2 7 5 3 1 7 1 8 2 7 2 7
A 4 9 7 7 4 8 2 2 3 6 1 7 2 7 3 7
A 4 10 7 7 2 7 5 3 1 7 1 8 3 7 2 8
A 2 8 4 6 2 12 3 3 2 10 1 9 2 6 2 8
A 6 9 5 4 2 11 3 3 1 9 4 11 4 5 4 9
A 8 14 8 8 6 9 4 5 4 10 6 12 9 2 7 11
A 3 9 5 7 3 11 3 2 2 9 2 9 3 5 3 8
A 2 4 3 3 1 11 3 3 2 11 2 9 2 6 2 9
A 3 9 5 7 3 11 4 2 2 8 2 9 3 5 3 8
A 3 5 5 3 2 10 2 2 2 10 2 9 2 6 2 7
A 3 9 5 7 3 10 2 2 2 8 1 8 2 7 3 8
A 5 9 9 7 6 5 5 2 4 3 2 7 6 7 7 2
A 3 8 6 5 2 6 5 3 0 6 1 8 2 7 2 7
A 3 9 5 7 4 9 3 2 2 7 2 8 2 6 3 6
A 3 7 5 5 3 8 2 2 2 7 1 8 2 7 3 7
A 2 6 5 4 3 5 5 2 2 4 2 7 2 6 3 3
A 3 9 6 7 4 13 3 3 3 11 1 9 2 6 2 9
A 2 3 3 2 1 10 2 2 1 8 2 9 1 6 1 8
A 2 7 4 5 3 11 3 2 2 9 2 9 2 6 3 8
A 5 6 7 5 5 8 8 3 4 7 8 8 5 9 3 6
A 3 4 5 3 2 10 2 2 2 8 2 9 4 5 2 9
A 3 6 6 4 4 8 5 2 4 7 2 6 2 6 4 6
A 3 9 5 7 3 11 3 3 4 11 2 9 2 6 3 8
A 2 3 4 4 2 8 3 1 2 7 2 8 2 6 2 7
A 3 10 6 7 2 7 3 3 3 7 1 8 3 6 3 7
A 2 3 3 1 1 8 2 2 1 7 2 8 2 6 2 7
A 5 10 7 8 4 9 2 3 3 8 1 8 2 7 4 8
A 2 6 4 4 1 7 5 3 1 6 0 8 2 7 1 7
A 7 9 9 8 8 5 8 3 5 7 8 10 8 8 4 8
A 2 4 4 5 2 7 4 3 1 7 1 8 2 7 2 8
A 4 7 5 5 3 8 2 2 2 6 2 8 2 6 3 6
A 4 6 6 5 5 8 8 2 4 7 8 8 5 8 4 6
A 4 6 5 6 5 7 9 2 4 7 7 9 7 7 3 8
A 5 7 6 5 6 8 7 7 4 7 6 8 2 8 8 3
A 3 9 4 6 3 9 5 2 0 8 1 8 2 6 1 8
A 4 7 5 5 5 7 7 6 3 7 6 8 2 7 8 3
A 4 9 4 4 3 10 3 4 2 10 5 11 5 4 4 10
A 1 1 2 1 1 7 3 2 1 6 2 8 1 6 1 7
A 6 11 8 8 8 8 9 8 5 6 6 8 3 7 8 4
A 4 5 7 7 2 7 6 3 0 7 0 8 3 7 1 8
A 2 8 4 5 2 6 5 3 1 6 1 8 2 7 2 7
A 5 11 8 8 5 11 2 3 3 9 2 9 5 7 4 9
A 3 6 5 5 4 9 7 3 5 7 8 6 4 10 3 5
A 1 3 2 1 1 9 3 2 1 8 2 9 1 6 0 8
A 3 7 5 5 3 11 2 3 2 10 2 9 2 6 3 8
A 2 4 4 3 2 9 2 2 2 8 2 9 1 6 1 7
A 2 1 3 3 1 7 2 1 2 6 2 7 2 5 2 8
A 1 3 2 2 1 10 2 3 1 9 2 9 2 6 1 7
A 7 12 7 7 4 12 1 4 1 11 4 12 5 4 4 11
A 3 11 5 8 4 12 3 2 2 9 2 9 2 6 2 8
A 1 3 3 2 1 8 3 2 2 7 2 8 2 6 2 7
A 6 11 6 6 4 10 2 4 2 11 5 12 5 4 6 10
A 2 4 4 2 2 11 2 2 1 9 2 9 2 7 2 9
A 6 12 6 6 3 13 1 5 2 12 2 10 2 3 2 10
A 1 3 2 1 1 9 3 1 1 8 3 9 1 6 1 8
A 3 5 5 3 2 8 2 2 2 8 2 8 2 6 3 7
A 2 7 4 5 2 12 4 4 3 11 1 8 2 6 2 8
A 2 6 4 4 2 11 3 3 2 10 1 9 2 6 2 8
A 1 0 2 0 0 7 4 2 0 7 2 8 1 7 1 8
A 7 13 6 8 4 8 2 3 2 8 4 12 5 5 4 7
A 4 9 7 7 5 6 5 2 3 4 1 6 5 7 5 4
A 3 7 5 5 4 8 5 1 3 7 2 6 2 6 4 5
A 3 4 5 3 2 8 2 2 2 8 2 8 2 7 3 7
A 5 12 5 6 3 12 2 4 2 11 3 11 4 4 4 11
A 2 1 4 2 1 8 2 2 1 7 2 8 2 6 3 6
A 3 7 5 4 2 8 3 3 3 7 2 8 3 6 3 8
A 2 5 3 3 2 11 3 2 2 9 2 9 2 6 2 8
A 3 5 5 4 2 10 2 2 2 8 2 9 3 5 2 8
A 4 9 6 7 4 12 2 3 2 10 2 9 2 7 3 8
A 3 2 5 4 2 10 2 2 2 9 1 8 2 6 3 8
A 2 1 3 1 0 7 4 2 0 7 2 8 2 7 1 8
A 4 9 7 6 4 8 3 1 2 5 2 8 3 5 3 7
A 3 7 4 5 3 9 4 3 1 8 1 8 2 6 1 8
A 8 12 8 6 4 11 0 4 3 12 6 14 4 5 5 11
A 3 7 5 5 3 10 2 2 2 9 2 8 2 6 4 8
A 4 9 6 7 4 7 5 3 0 6 1 8 2 7 1 7
A 3 7 5 6 4 6 8 2 4 7 7 9 5 9 3 7
A 1 1 2 1 0 7 4 2 0 7 2 8 2 6 1 8
A 6 14 6 8 5 11 3 4 2 11 3 11 5 3 4 11
A 4 8 6 6 3 13 3 4 3 11 1 8 2 6 2 9
A 1 0 2 0 0 8 4 2 0 7 2 8 1 6 1 8
A 5 8 7 6 6 8 9 7 5 6 6 8 3 7 7 4
A 3 2 6 4 2 10 2 2 2 9 1 8 2 6 2 8
A 5 6 7 5 6 6 6 3 5 7 8 10 8 11 3 8
A 3 7 5 5 3 11 2 3 2 10 2 9 3 7 3 9
A 3 8 6 6 3 11 2 2 2 9 2 9 3 7 3 9
A 5 10 7 8 5 8 4 3 0 7 1 8 2 7 4 8
A 3 5 5 3 2 11 2 2 2 9 2 9 2 6 2 8
A 2 7 4 5 2 8 3 2 2 7 1 8 2 6 2 7
A 1 1 2 1 0 7 4 2 0 6 2 8 2 7 1 8
A 3 9 5 7 4 12 2 3 3 10 2 9 3 8 4 9
A 5 11 7 9 5 8 3 3 1 7 2 8 5 8 5 10
A 4 8 6 6 4 9 5 3 0 8 1 8 2 7 1 8
A 3 8 6 6 3 12 2 2 2 10 2 9 2 6 2 8
A 1 1 2 1 0 7 4 2 0 7 2 8 2 7 1 8
A 3 8 5 5 2 9 6 3 1 8 0 8 2 7 1 8
A 2 4 4 3 2 8 2 2 2 7 2 8 2 6 2 7
A 2 3 3 1 1 8 2 2 1 7 2 8 2 7 2 7
A 2 6 4 4 2 11 3 3 2 10 1 9 2 6 2 8
A 5 8 8 7 7 7 7 2 5 7 9 10 5 11 3 7
A 2 1 3 1 1 7 4 2 0 7 1 8 3 6 1 8
A 5 11 9 8 7 10 5 1 5 9 1 5 3 7 4 8
A 4 9 6 6 2 8 4 3 1 7 1 8 3 7 2 8
A 2 8 4 6 3 11 3 3 3 10 2 9 2 6 3 8
A 4 10 6 7 2 7 5 3 1 7 0 8 3 7 2 8
A 4 8 6 6 6 8 8 7 4 6 6 8 3 7 7 4
A 3 7 6 5 3 11 2 3 2 10 2 9 2 6 3 9
A 3 6 5 8 2 7 5 3 1 7 0 8 3 7 2 8
A 2 1 4 2 1 7 2 2 1 6 2 8 2 7 2 7
A 3 9 6 6 4 11 3 1 2 8 2 9 2 6 2 7
A 2 3 4 2 1 6 2 2 2 5 2 8 2 6 2 6
A 2 7 4 4 1 8 5 3 1 7 0 8 2 7 2 8
A 4 8 5 6 3 7 5 2 0 7 1 8 2 7 1 8
A 4 9 6 6 2 8 3 3 3 7 2 8 3 6 3 8
A 2 3 4 4 1 7 5 3 1 6 1 8 2 7 2 7
A 3 9 5 7 3 13 2 4 4 12 1 9 3 6 3 10
A 5 11 5 6 4 9 4 5 3 10 6 12 7 4 6 10
A 2 6 4 4 2 8 2 2 2 7 2 8 2 6 3 6
A 4 11 6 8 5 7 3 1 2 5 2 7 4 6 4 7
A 3 8 6 6 4 10 5 1 4 8 2 6 2 7 4 8
A 3 5 5 5 4 9 8 2 4 7 7 7 4 8 4 5
A 8 12 6 6 3 10 1 2 2 10 4 12 3 5 4 8
A 4 10 5 7 4 9 4 3 1 8 2 8 2 7 2 8
A 2 2 4 3 2 6 2 2 2 5 2 8 2 6 2 6
A 2 7 3 5 2 7 4 2 0 7 2 8 1 6 1 8
A 5 8 7 7 6 9 7 3 4 7 7 6 5 10 4 6
A 3 8 5 6 3 5 4 3 0 5 2 7 2 7 2 7
A 3 2 6 4 3 8 1 2 2 7 2 8 2 7 3 7
A 4 6 6 6 5 7 8 2 4 7 7 9 5 7 3 7
A 4 10 6 8 3 10 3 2 3 9 1 8 2 7 4 9
A 1 1 2 2 1 7 3 2 1 6 2 8 1 6 1 7
A 5 12 5 6 4 11 2 4 2 11 4 11 5 4 5 10
A 3 2 5 4 2 8 2 2 2 8 1 8 2 6 3 7
A 3 8 6 6 3 12 2 3 2 10 2 9 2 6 3 8
A 7 11 5 6 3 10 1 3 1 10 4 12 3 4 4 8
A 3 11 5 8 3 13 3 4 3 12 1 9 2 6 3 9
A 2 4 3 3 2 10 2 2 2 9 2 9 1 6 2 8
A 9 15 9 8 6 11 2 5 2 11 4 11 7 2 5 11
A 1 0 2 0 0 7 4 2 0 7 2 8 1 6 1 8
A 2 5 4 4 2 8 3 2 2 8 2 8 2 6 2 7
A 3 2 6 4 2 8 2 2 2 6 2 7 3 7 3 7
A 4 7 7 5 4 6 5 2 3 4 2 6 4 6 4 5
A 2 8 4 5 2 7 6 3 1 6 0 8 2 7 2 7
A 2 1 4 3 2 8 2 2 1 7 2 8 2 6 2 7
A 3 7 5 5 5 8 8 7 4 6 6 8 2 8 6 5
A 8 13 7 7 4 11 4 3 2 8 4 10 5 5 4 9
A 2 3 3 2 1 9 2 2 1 8 2 10 1 6 2 8
A 1 0 2 0 0 7 3 2 0 7 2 8 2 6 1 8
A 2 7 4 5 2 11 3 3 2 10 2 9 2 6 2 8
A 3 10 6 8 5 10 4 1 2 8 3 9 4 4 3 7
A 4 8 6 6 5 9 5 2 5 8 1 6 3 4 3 7
A 2 7 4 4 1 5 4 3 2 5 1 7 2 6 2 7
A 2 7 4 4 1 8 4 3 2 7 2 8 3 6 2 8
A 3 4 5 2 2 9 1 2 1 8 2 8 2 6 3 8
A 2 1 4 2 1 8 2 2 1 7 2 8 2 7 2 7
A 4 7 5 5 3 8 4 3 0 6 1 8 2 7 1 7
A 3 11 5 8 4 12 2 3 3 10 2 9 2 6 3 8
A 3 6 5 4 2 8 4 3 0 7 1 8 2 7 1 8
A 3 4 5 5 1 8 6 3 1 7 0 8 2 7 1 8
A 2 0 3 1 0 7 4 2 0 7 2 8 2 7 1 8
A 3 7 5 5 3 11 3 2 2 9 2 9 3 5 2 8
A 3 7 6 5 4 12 3 2 2 9 2 8 4 5 2 8
A 3 7 5 5 3 7 3 2 2 5 2 8 2 6 2 6
A 3 10 5 7 3 7 3 2 2 5 2 7 2 6 2 7
A 2 4 4 5 1 5 5 3 1 5 1 8 2 7 2 7
A 5 13 5 7 4 12 2 4 1 11 3 11 4 3 4 11
A 6 14 6 8 4 11 1 3 3 12 5 13 3 6 5 11
A 3 9 6 7 4 10 2 1 2 8 3 9 4 5 3 7
A 3 7 5 5 3 8 2 2 2 7 2 7 2 6 3 6
A 4 7 6 5 3 10 1 3 3 9 2 8 3 6 4 9
A 5 7 7 6 6 9 8 3 4 7 7 8 5 6 5 4
A 2 2 4 3 2 7 2 2 2 6 1 8 2 6 2 7
A 3 9 6 7 5 7 5 2 3 5 2 6 4 5 5 5
A 3 8 5 6 3 12 2 3 2 10 2 9 2 6 3 8
A 3 7 5 5 3 10 2 2 2 9 1 8 2 6 3 8
A 2 8 4 6 2 8 4 3 2 7 1 8 3 7 2 8
A 2 6 4 4 3 7 2 1 2 6 2 7 2 6 3 6
A 3 3 5 5 2 6 3 3 3 6 2 7 3 6 3 7
A 2 5 4 4 2 11 2 2 2 9 2 9 2 6 2 8
A 4 11 6 8 4 12 3 3 3 9 1 9 2 6 3 8
A 2 3 4 1 1 10 2 3 1 9 2 9 1 6 1 8
A 3 9 5 7 3 12 3 4 3 10 1 9 2 7 3 9
A 3 6 5 4 2 10 3 2 2 8 3 10 2 6 2 7
A 3 7 6 5 4 5 5 3 3 3 2 6 4 6 4 4
A 6 10 8 8 8 7 7 8 4 7 6 8 4 8 11 2
A 4 9 6 7 5 8 2 1 2 6 2 7 5 6 6 7
A 3 6 5 4 3 8 5 3 0 7 1 8 2 6 1 8
A 2 8 4 5 2 9 5 3 1 8 1 8 2 7 2 8
A 5 7 7 6 6 5 8 3 5 7 8 11 7 9 3 8
A 6 9 9 8 8 7 8 2 4 7 7 8 6 5 5 6
A 6 9 6 5 3 12 3 5 2 12 3 10 5 3 3 10
A 2 2 4 3 2 8 2 2 2 8 1 8 2 6 2 7
A 4 9 7 7 3 12 2 4 2 11 1 9 3 7 3 9
A 3 7 5 5 3 8 2 2 2 7 2 7 2 6 3 7
A 4 9 6 7 5 7 5 2 4 5 1 6 3 6 4 5
A 6 11 5 6 3 8 4 3 3 7 4 11 5 6 4 7
A 3 4 5 3 2 10 1 3 2 9 2 9 3 6 2 8
A 3 7 5 5 3 12 3 2 2 9 2 9 2 5 2 8
A 5 9 5 5 3 12 2 5 1 12 3 10 3 3 2 10
A 4 7 6 6 5 8 8 2 4 7 7 8 5 7 4 5
A 3 8 5 6 3 8 3 2 2 7 1 8 2 6 3 7
A 2 4 4 6 2 7 5 3 1 7 1 8 2 7 2 8
A 3 4 6 6 2 7 6 3 0 7 0 8 2 7 1 8
A 3 7 4 5 2 9 3 3 3 9 1 8 2 6 2 7
A 4 9 7 6 3 12 2 4 3 11 1 9 3 7 3 9
A 4 5 6 7 2 7 4 3 1 7 1 8 3 7 2 8
A 2 2 4 3 1 6 2 2 2 5 2 8 2 6 2 6
A 2 5 4 4 2 11 3 3 2 10 2 9 2 6 2 8
A 4 9 6 7 4 8 2 1 2 6 2 8 2 7 3 6
A 2 3 4 2 1 10 2 3 2 10 2 10 2 6 2 8
A 4 7 6 5 3 9 3 2 2 8 1 8 2 6 3 7
A 3 5 6 4 2 7 1 2 2 6 2 7 4 6 4 7
A 2 3 3 1 1 7 2 2 1 6 2 7 1 6 1 7
A 1 1 2 1 1 7 4 2 1 7 1 8 2 6 1 7
A 2 4 4 3 1 8 2 2 2 7 2 8 2 6 2 7
A 4 10 6 8 4 13 2 4 3 11 1 9 3 7 4 10
A 4 9 7 7 4 12 3 2 2 9 2 9 2 6 2 8
A 3 5 6 6 2 6 5 3 1 6 0 8 2 7 2 7
A 4 9 6 6 2 6 3 3 3 6 2 7 3 6 3 7
A 1 3 2 1 1 7 2 2 1 7 2 8 1 6 1 7
A 6 13 5 7 3 8 1 2 2 9 4 12 3 5 4 6
A 2 7 5 5 4 8 5 2 3 7 2 6 2 5 3 7
A 1 3 2 1 1 11 3 3 2 10 2 9 1 6 1 8
A 5 8 6 6 6 8 9 7 4 6 6 8 3 7 7 5
A 3 11 6 8 4 12 3 3 3 10 1 9 2 6 3 8
A 2 4 3 3 1 8 2 2 1 7 2 8 2 7 2 7
A 4 8 6 6 6 8 9 7 5 6 6 8 3 7 7 4
A 2 4 4 3 2 8 2 2 2 7 2 8 2 6 2 7
A 3 8 4 6 3 6 4 2 0 6 2 8 2 6 1 7
A 3 5 6 3 2 9 2 2 2 8 2 10 3 7 2 8
A 2 1 3 2 1 9 3 2 2 8 2 8 2 6 2 8
A 4 9 6 6 2 7 4 3 1 6 1 8 3 7 2 7
A 2 7 3 4 1 7 6 3 1 7 0 8 2 7 1 8
A 2 3 3 2 1 10 2 3 1 10 2 9 2 6 2 8
A 3 9 5 7 4 9 3 1 2 7 2 8 2 6 4 7
A 3 11 5 8 2 9 6 3 1 8 0 8 2 7 2 8
A 3 3 5 5 2 7 5 3 1 6 1 8 2 7 2 7
A 3 9 5 6 2 9 6 3 1 8 0 8 2 7 1 8
A 4 10 7 8 4 13 2 4 4 12 1 9 3 7 4 10
A 5 8 9 6 6 7 5 2 4 6 1 6 5 7 5 6
A 2 3 3 2 1 8 2 2 1 8 2 8 2 6 3 8
A 2 4 4 3 1 6 3 2 2 5 2 8 2 6 2 6
A 4 9 7 7 5 10 3 1 2 8 3 9 4 5 3 7
A 9 13 7 7 4 8 2 3 2 8 4 12 5 4 5 6
A 3 7 5 4 2 7 5 3 0 6 1 8 2 7 2 7
A 2 3 3 2 1 11 2 2 1 9 2 9 1 6 2 8
A 2 3 4 4 1 9 5 3 1 8 1 8 2 7 2 8
A 1 0 2 1 0 7 4 2 0 7 2 8 2 7 1 8
A 4 9 6 8 6 7 8 2 6 7 8 9 5 11 3 7
A 2 4 4 3 2 11 2 3 1 9 2 9 2 6 2 9
A 1 0 2 0 0 7 4 2 0 7 2 8 1 7 1 8
A 2 4 4 2 1 11 2 3 2 9 2 9 1 6 2 8
A 6 11 6 6 4 11 2 4 2 11 4 12 5 3 5 11
A 3 8 5 6 5 8 8 6 4 6 6 8 5 7 6 4
A 2 1 4 2 2 7 2 2 2 7 2 8 2 7 3 7
A 3 4 5 3 2 10 2 2 1 9 2 9 2 6 2 8
A 3 5 5 8 2 7 6 3 1 7 0 8 3 7 1 8
A 2 8 4 5 1 8 6 3 1 7 0 8 2 7 1 8
A 3 10 5 7 2 8 6 3 1 7 0 8 3 7 1 8
A 4 9 6 6 4 10 2 1 2 8 3 9 5 5 3 7
A 3 8 5 6 3 12 3 2 2 10 2 9 2 6 2 8
A 5 10 9 8 7 11 5 1 5 9 1 5 3 7 5 9
A 2 7 4 5 2 11 2 3 3 10 2 9 2 6 2 8
A 2 3 3 2 1 10 2 2 1 9 2 9 1 6 2 8
A 4 9 4 4 2 10 2 4 2 11 5 12 4 4 5 10
A 6 10 6 5 3 12 3 6 2 12 2 10 4 3 3 10
A 5 10 7 8 4 10 3 2 3 8 1 7 2 7 3 8
A 3 2 5 3 2 6 2 2 1 5 2 8 2 7 3 5
A 4 9 6 6 2 7 7 3 0 7 0 8 3 7 1 8
A 3 5 5 3 2 6 2 2 2 5 2 8 2 6 3 6
A 3 10 5 8 4 6 3 1 2 5 2 8 2 5 3 6
A 2 2 4 3 1 7 3 2 2 6 1 8 2 6 2 7
A 4 9 7 7 5 11 3 1 2 8 3 9 6 5 3 8
A 6 10 9 8 9 8 7 7 4 7 6 9 6 8 7 4
A 5 11 7 9 5 10 2 2 3 9 1 7 3 7 4 8
A 4 7 6 5 2 8 3 3 3 9 1 8 2 7 3 7
A 7 11 9 8 9 7 6 8 4 7 5 8 5 8 11 2
A 3 6 5 4 2 8 2 2 2 7 1 8 2 6 3 7
A 3 8 5 6 3 6 4 3 0 6 2 7 2 7 2 7
A 4 7 7 5 5 7 6 2 4 6 1 6 3 5 3 7
A 4 11 8 8 6 9 5 1 4 7 2 6 3 8 6 6
A 4 9 6 7 4 8 2 2 3 7 1 8 2 7 3 6
A 5 11 8 8 6 6 3 2 3 4 2 7 5 5 5 5
A 4 10 7 8 5 11 2 2 2 9 2 9 4 5 4 8
A 2 2 4 3 2 8 2 1 1 7 2 8 2 7 3 7
A 2 4 4 2 2 10 2 2 2 9 2 8 2 6 2 8
A 2 4 3 3 1 11 3 3 2 11 2 9 1 6 2 9
A 5 11 5 6 4 10 3 4 2 10 5 11 5 3 5 10
A 2 8 4 6 2 12 2 4 3 11 2 10 2 6 4 9
A 2 4 3 3 1 11 3 2 2 9 2 9 1 6 2 8
A 3 9 6 7 4 12 3 2 2 9 2 9 2 6 2 8
A 9 13 8 8 4 10 0 3 2 10 4 12 3 5 4 8
A 2 9 4 6 2 7 4 3 2 6 1 8 2 7 2 8
A 3 3 5 5 2 6 4 3 1 6 1 8 3 7 2 7
A 3 9 4 6 3 7 4 3 1 6 2 8 2 7 3 8
A 4 11 6 8 3 9 3 3 3 8 1 9 3 6 3 9
A 3 11 5 8 4 8 5 3 0 7 1 8 2 7 3 8
A 4 10 7 8 5 12 3 2 2 9 2 9 2 6 2 8
A 2 7 4 5 2 12 3 4 3 12 2 9 2 6 3 9
A 1 0 2 0 0 8 3 2 0 7 2 8 2 6 1 8
A 2 4 4 3 2 7 2 2 1 6 2 8 2 7 3 6
A 3 3 5 4 2 8 2 2 2 6 2 8 2 7 2 7
A 7 11 7 6 4 10 1 4 2 11 6 14 4 5 5 11
A 3 11 6 8 4 11 4 2 3 9 2 9 3 7 3 8
A 5 9 6 7 4 7 4 3 1 7 2 8 3 8 3 8
A 3 5 5 4 2 6 3 2 2 5 2 7 3 4 3 8
A 2 4 3 3 1 11 3 3 2 11 2 9 2 6 2 9
A 3 8 5 6 3 12 2 3 2 11 2 9 2 6 3 9
A 3 8 5 6 3 12 3 3 2 11 1 9 2 6 2 9
A 4 9 6 7 4 12 3 3 2 10 1 9 2 7 3 8
A 2 7 4 5 2 9 3 2 2 8 1 8 2 6 3 8
A 5 9 7 7 5 8 3 1 2 6 2 7 3 5 4 7
A 3 4 5 3 2 10 2 2 1 8 2 9 4 5 2 9
A 3 8 5 6 5 8 8 6 4 6 6 8 3 7 6 4
A 2 1 3 2 1 8 2 2 1 7 2 8 2 7 2 7
A 5 6 7 5 5 8 8 3 5 7 8 8 5 9 4 6
A 4 10 5 8 4 6 5 3 1 6 1 8 2 7 2 7
A 7 15 7 8 5 10 2 5 2 11 5 12 6 3 6 10
A 3 8 5 6 3 9 3 1 2 7 2 8 2 6 2 7
A 4 11 5 8 4 8 5 3 0 7 1 8 2 6 3 8
A 5 9 7 8 6 6 8 2 4 7 7 9 8 7 4 8
A 4 8 6 6 3 9 2 2 2 7 1 8 2 7 3 7
A 5 7 8 6 6 9 7 3 5 6 8 6 4 10 4 5
A 4 11 7 9 4 11 3 2 3 9 2 9 5 5 3 9
A 3 9 6 6 2 8 4 3 2 7 1 8 3 7 3 8
A 2 3 4 4 1 10 5 3 1 8 1 8 2 7 2 8
A 3 6 6 8 2 9 4 3 2 8 1 8 3 7 2 8
A 3 10 5 8 4 11 3 2 2 9 2 9 3 5 3 8
A 3 8 6 6 4 11 2 2 2 9 2 9 3 5 3 8
A 1 3 2 2 1 10 3 2 1 9 2 9 1 6 1 8
A 2 7 4 4 2 7 4 3 2 6 1 8 3 6 2 7
A 3 5 5 4 2 9 2 1 2 8 2 9 2 6 2 8
A 5 8 8 7 7 7 8 2 4 7 8 9 8 6 4 8
A 3 9 5 6 4 8 2 1 2 6 2 7 3 6 4 7
A 2 1 3 1 0 7 4 2 0 7 1 8 2 6 1 7
A 3 8 5 6 2 11 2 4 3 11 2 10 2 6 3 8
A 2 1 4 3 2 8 1 2 2 8 2 8 3 6 3 7
A 4 10 6 8 4 9 2 2 3 8 2 8 3 6 4 7
A 2 9 4 6 3 11 2 1 2 9 3 9 2 6 3 8
A 4 10 7 7 2 5 5 3 1 5 1 7 3 7 2 7
A 3 2 5 3 2 6 2 2 2 5 2 8 2 6 2 6
A 5 9 6 7 7 8 8 8 4 6 6 8 3 8 8 4
A 3 5 6 6 2 8 3 3 2 7 1 8 3 6 3 8
A 6 9 8 8 7 7 7 2 4 7 8 10 8 7 4 8
A 2 6 4 4 2 8 4 2 1 7 2 8 2 6 2 8
A 5 11 8 9 5 12 3 3 3 10 1 9 3 7 4 9
A 1 3 3 2 1 6 3 2 2 5 2 8 1 6 1 7
A 1 3 2 2 1 10 2 2 1 9 2 9 1 6 2 8
A 5 13 5 7 4 11 2 4 2 11 4 11 5 3 4 10
A 2 4 4 2 2 11 2 3 2 10 2 10 2 6 2 9
A 5 11 8 8 4 8 2 2 3 6 2 7 5 7 6 8
A 6 10 8 8 8 7 8 8 4 6 5 9 3 7 8 5
A 3 7 5 6 4 7 8 2 4 7 8 9 5 8 3 6
A 3 9 6 7 4 11 3 1 2 8 3 9 4 5 3 8
A 3 7 5 5 2 12 3 4 3 11 2 10 2 6 3 9
A 2 2 4 4 2 8 2 2 2 8 2 8 2 6 3 7
A 3 11 5 8 3 13 4 5 3 12 1 8 2 6 4 9
A 5 10 9 7 6 7 5 2 4 5 1 6 5 7 5 5
A 4 9 6 6 3 11 2 3 3 10 2 9 2 6 3 8
A 3 8 5 5 2 7 4 3 1 7 1 8 3 7 2 8
A 3 9 5 6 3 6 3 2 3 5 2 8 2 6 3 6
A 7 10 9 8 9 8 6 7 4 7 6 9 6 8 8 3
A 3 5 5 4 4 7 8 3 4 7 8 8 5 10 3 6
A 4 4 6 6 2 6 7 3 0 6 0 8 2 7 1 7
A 5 7 7 5 7 7 8 8 4 7 5 8 4 8 9 4
A 3 8 5 6 3 10 4 2 2 8 2 10 2 6 3 8
A 5 10 7 7 8 8 5 8 4 8 6 8 3 9 8 3
A 4 7 6 6 5 8 8 2 4 7 7 8 5 7 4 6
A 4 9 5 6 5 7 6 7 4 7 6 9 2 8 8 4
A 4 5 6 4 4 8 8 3 4 6 7 7 5 8 4 5
A 3 10 5 8 4 12 3 2 2 9 2 8 2 6 2 8
A 3 6 4 4 2 10 2 2 3 8 2 8 2 6 2 8
A 1 3 3 2 1 11 2 3 2 10 2 9 1 6 2 8
A 2 5 4 3 2 7 3 1 2 6 2 8 3 5 2 8
A 3 4 5 6 2 5 4 3 2 5 1 7 3 7 2 7
A 4 5 6 8 2 7 4 3 2 7 1 8 3 6 3 8
A 2 4 4 3 2 11 2 2 2 9 2 9 2 6 2 8
A 8 15 6 8 4 8 3 3 2 7 4 11 5 5 4 7
A 2 6 3 4 2 9 4 2 0 8 2 8 2 6 1 8
A 2 1 4 1 1 8 4 2 0 7 2 8 2 6 2 8
A 3 9 5 7 3 12 3 3 3 10 1 9 2 6 2 8
A 1 0 2 0 0 8 4 2 0 7 2 8 2 7 1 8
A 6 9 9 8 8 8 7 3 5 7 7 7 5 8 4 5
A 4 9 6 8 6 7 8 2 4 7 7 8 8 6 4 7
A 4 9 7 7 5 7 2 1 2 5 2 7 4 6 5 7
A 1 0 2 1 0 7 4 2 0 7 2 8 2 7 1 8
A 5 11 8 8 5 8 2 2 3 6 1 7 3 7 4 7
A 4 9 5 7 4 7 5 3 0 7 1 8 2 7 1 8
A 2 4 4 6 2 8 3 3 3 7 1 8 3 6 3 8
A 3 7 5 5 3 10 3 2 2 8 2 10 3 5 2 8
A 3 8 5 5 2 10 5 3 1 8 1 9 2 7 2 9
A 4 11 6 8 2 8 5 3 1 7 0 8 3 7 2 8
A 3 6 5 4 2 11 3 2 2 9 2 9 2 6 3 9
A 3 9 5 6 4 12 2 2 2 10 2 9 2 6 3 8
A 4 10 7 7 2 8 7 3 0 7 0 8 3 7 2 8
A 5 11 7 8 7 8 5 7 4 8 6 8 6 8 7 4
A 5 10 7 7 4 9 5 3 0 8 1 8 2 7 1 8
A 4 8 6 6 4 11 3 2 2 9 2 9 4 4 3 8
A 3 5 6 3 2 8 2 2 2 6 1 8 2 6 2 7
A 2 6 4 4 3 8 3 2 1 7 2 8 1 7 2 8
A 3 9 5 6 3 10 3 2 2 8 2 10 3 5 3 7
A 2 8 4 5 2 7 5 3 1 6 0 8 2 7 2 7
A 3 5 6 4 2 9 2 2 2 8 1 8 2 6 2 7
A 2 4 4 3 1 12 3 3 2 10 1 9 1 6 2 9
A 2 5 4 3 2 8 2 2 2 8 2 8 2 6 2 7
A 2 2 4 3 2 7 2 2 2 6 2 8 2 7 3 7
A 2 1 3 1 1 7 4 2 0 7 2 8 2 6 2 8
A 3 2 5 3 2 8 2 2 2 7 2 8 2 7 2 7
A 1 1 2 1 0 7 4 3 0 7 1 8 2 7 1 8
A 2 4 4 6 2 7 3 3 3 7 1 8 3 6 3 8
A 2 7 4 5 2 11 2 3 3 10 2 9 2 6 3 8
A 3 7 4 5 3 8 3 2 2 7 2 8 2 6 3 7
A 4 5 6 4 4 8 7 3 5 7 8 8 5 9 3 6
A 1 1 3 2 1 7 2 2 1 7 2 8 1 6 2 7
A 3 8 5 6 3 12 3 2 2 9 2 9 3 7 3 9
A 3 9 5 6 2 6 6 3 1 6 0 8 2 7 1 7
A 2 3 3 2 1 10 2 2 1 9 2 9 1 6 2 8
A 1 0 2 0 0 7 4 2 0 7 2 8 2 7 1 8
A 1 0 2 0 0 8 4 2 0 7 2 8 2 7 1 8
A 1 3 2 1 1 6 2 1 1 6 2 8 1 6 1 7
A 4 5 6 8 2 8 4 3 2 7 1 8 3 7 2 8
A 5 9 7 7 5 8 2 2 2 6 2 7 3 8 4 7
A 2 2 4 3 2 7 2 1 2 6 2 8 2 6 2 7
A 5 10 8 8 6 6 5 2 4 4 2 7 6 7 6 4
A 2 0 3 1 0 8 4 2 0 7 2 8 2 6 1 8
A 6 13 6 8 4 12 2 5 1 12 2 10 3 2 3 10
A 3 7 5 5 3 12 3 2 2 9 1 8 2 6 2 7
A 3 7 5 5 3 11 2 3 2 10 2 9 2 6 3 9
A 2 6 4 4 2 7 4 2 0 6 2 8 2 6 1 7
A 3 11 6 8 2 6 6 3 1 6 0 8 2 7 2 7
A 4 5 6 4 4 9 8 3 4 6 7 7 4 9 4 6
A 3 8 5 5 2 8 6 3 1 7 0 8 2 7 1 8
A 2 7 4 4 1 8 4 3 1 7 1 8 2 6 2 8
A 3 7 5 5 3 11 2 3 3 10 2 10 2 6 2 8
A 9 15 7 8 4 8 2 3 2 8 4 12 5 5 5 7
A 2 3 3 2 1 10 2 2 1 8 2 9 2 5 1 9
A 6 9 6 4 3 11 0 4 1 11 5 13 4 5 4 11
A 3 6 4 4 3 8 2 2 2 7 2 8 2 6 2 7
A 4 9 6 7 6 8 7 8 4 7 6 8 3 8 8 4
A 3 6 5 4 3 8 2 2 2 7 2 8 2 6 2 7
A 2 1 4 2 1 7 2 2 2 6 2 8 2 6 2 7
A 4 6 7 8 2 8 6 3 1 7 0 8 3 7 2 8
A 4 11 7 8 5 12 2 2 2 10 2 9 2 6 3 8
A 6 9 5 4 2 11 3 3 1 9 3 10 4 5 4 10
A 1 1 2 1 0 7 4 2 0 7 2 8 2 7 1 8
A 6 10 5 5 3 12 5 4 1 8 3 9 5 6 4 10
A 3 5 5 8 2 7 6 3 1 6 0 8 2 7 1 8
A 2 4 4 3 2 8 2 2 1 7 2 8 2 7 3 6
A 2 1 4 2 1 9 2 2 1 8 2 8 2 6 2 7
A 2 4 4 3 2 11 2 2 2 9 2 9 2 6 1 8
A 3 8 5 6 3 10 3 2 3 9 1 8 2 6 2 8
A 1 0 2 0 0 8 3 2 0 7 2 8 2 6 1 8
A 2 1 3 1 1 7 4 2 0 7 2 8 2 7 1 7
A 4 9 6 6 5 10 3 1 2 7 3 9 5 5 3 7
A 2 4 4 3 2 7 2 2 2 7 2 8 2 6 3 7
A 4 9 6 7 5 8 2 3 1 7 2 8 5 8 6 7
A 4 11 6 8 3 7 4 3 2 6 1 8 3 6 3 8
A 4 10 7 8 5 11 3 1 2 8 2 9 6 4 3 8
A 2 3 3 2 1 9 2 1 1 8 2 9 1 6 1 8
A 3 5 6 4 2 8 2 2 2 7 1 8 2 7 2 7
A 2 7 4 4 1 8 6 3 0 7 0 8 2 7 1 8
A 4 10 5 5 4 9 5 5 2 10 6 11 6 5 5 10
A 4 8 6 7 7 10 8 3 4 6 7 6 5 9 5 5
A 7 12 6 7 3 12 2 3 1 10 4 11 4 4 4 9
A 4 7 5 5 3 7 5 3 0 7 1 8 2 7 1 8
A 3 2 5 3 2 8 2 2 2 6 1 8 2 6 2 7
A 3 5 4 4 3 8 8 2 4 7 8 8 4 9 3 6
A 4 9 6 6 5 6 5 3 3 4 1 6 4 5 4 6
A 3 10 6 7 2 7 3 3 3 7 1 8 3 6 3 7
A 2 4 4 3 2 11 2 3 2 11 2 10 2 6 2 9
A 3 7 5 4 2 7 4 3 1 6 1 8 3 6 2 7
A 2 3 3 1 1 11 2 3 1 9 2 9 1 6 2 8
A 3 4 5 3 2 8 2 2 2 7 2 8 2 6 3 6
A 1 1 2 1 0 8 4 2 0 7 1 8 2 7 1 8
A 6 8 8 7 7 6 7 3 5 7 8 10 8 11 4 7
A 3 5 5 8 2 8 5 3 1 7 0 8 2 7 2 8
A 4 11 6 8 4 12 2 3 3 11 1 9 3 7 3 9
A 6 11 8 8 8 8 7 6 5 6 6 9 6 8 7 3
A 3 8 5 6 4 11 3 1 2 8 3 9 3 5 2 8
A 2 6 3 4 2 11 3 3 3 11 2 10 2 6 3 8
A 2 7 4 5 3 10 3 1 2 7 3 9 1 5 1 7
A 3 8 5 6 3 12 2 3 2 10 2 9 2 6 2 8
A 3 3 5 4 2 6 3 3 2 6 2 8 3 6 3 7
A 8 15 6 8 4 9 3 3 2 8 4 11 6 4 5 8
A 4 7 5 5 3 8 2 2 2 7 2 8 2 7 3 6
A 2 3 4 2 1 8 2 2 2 7 2 8 2 6 2 7
A 3 8 5 6 3 6 5 3 0 6 1 8 2 6 1 7
A 3 2 5 4 2 8 2 2 2 7 1 8 2 6 2 7
A 7 10 9 8 8 7 7 7 4 7 6 9 4 8 11 1
A 3 11 6 8 2 9 5 3 1 8 1 8 3 7 2 8
A 3 5 5 3 2 8 2 2 2 7 1 8 2 6 2 7
A 4 8 7 6 5 9 5 2 5 10 2 6 2 6 3 8
A 1 3 2 2 1 9 2 2 1 8 2 8 1 6 1 8
A 4 10 6 7 2 9 4 3 2 8 1 8 3 7 3 8
A 2 4 4 3 2 10 2 2 2 9 2 9 2 6 2 8
A 5 10 5 5 3 11 2 4 1 11 4 11 4 3 4 10
A 6 9 5 5 3 8 3 3 2 7 4 12 5 5 4 7
A 3 7 5 5 3 6 3 2 2 4 2 7 2 5 2 6
A 4 9 6 7 6 8 9 8 5 6 5 8 3 6 7 5
A 3 6 6 4 3 7 5 2 3 6 2 6 2 6 3 5
A 7 11 5 6 3 10 0 2 2 10 4 12 3 4 3 8
A 2 9 4 6 2 6 5 3 1 6 0 8 2 7 2 7
A 4 11 6 8 2 7 6 3 1 7 0 8 3 7 1 8
A 4 10 7 7 2 7 7 3 0 6 0 8 2 7 2 8
A 3 5 5 4 2 7 2 1 2 6 2 8 3 5 3 7
A 2 7 4 5 2 8 4 2 1 7 1 8 2 6 1 8
A 4 11 7 8 4 12 4 3 3 9 1 9 3 8 3 9
A 3 11 5 8 4 11 4 2 3 9 2 9 3 7 3 7
A 6 11 6 6 4 12 3 5 2 11 3 10 6 4 4 10
A 3 8 5 6 3 11 2 2 2 9 2 9 2 6 3 7
A 2 1 3 1 0 7 4 2 0 7 2 8 2 7 1 8
A 6 14 5 8 4 9 4 3 2 8 4 11 6 6 4 8
A 4 10 6 8 4 7 5 3 1 7 1 8 2 7 2 8
A 3 9 5 6 3 10 3 2 2 8 3 10 2 6 3 7
A 7 10 10 9 8 6 8 3 6 7 8 10 6 8 4 8
A 3 7 5 5 3 12 3 3 2 10 1 9 2 6 2 8
A 3 8 5 6 3 11 3 2 2 8 2 9 2 5 2 8
A 6 11 8 9 9 8 7 8 3 7 6 8 3 8 9 3
A 3 9 5 6 4 8 2 1 2 7 2 7 2 7 3 6
A 4 11 6 8 4 12 2 4 3 11 1 9 3 7 3 9
A 3 7 5 5 3 11 2 2 2 8 3 9 3 5 3 8
A 4 8 6 6 3 9 3 2 3 8 1 8 2 6 3 7
A 3 10 5 8 3 13 4 5 3 12 0 8 2 6 3 9
A 2 5 4 4 2 10 2 2 2 9 2 9 2 6 2 8
A 3 8 6 5 2 8 5 3 1 7 1 8 2 7 2 8
A 4 11 7 8 6 10 3 1 2 8 3 9 5 5 3 7
A 3 6 5 4 3 8 3 2 2 6 2 7 2 6 2 6
A 1 0 2 0 0 7 4 2 0 7 2 8 2 7 1 8
A 5 11 7 8 5 7 4 3 0 7 1 8 3 8 3 7
A 3 5 5 5 4 8 8 2 4 7 7 8 5 9 4 7
A 2 4 4 3 2 9 2 2 2 9 2 8 2 6 3 8
A 5 11 8 8 5 12 2 3 3 10 1 9 3 7 4 8
A 4 11 7 8 4 11 2 2 3 9 2 9 5 6 3 9
A 2 6 3 4 2 9 5 2 0 8 2 8 2 6 1 8
A 6 10 7 7 7 8 8 6 5 6 5 8 5 7 7 5
A 2 3 4 5 1 8 6 3 1 7 0 8 2 7 1 8
A 2 4 4 3 2 10 2 2 2 9 2 9 2 6 2 8
A 5 11 8 8 5 9 3 2 3 8 1 8 2 7 3 7
A 5 9 6 7 4 9 4 3 1 8 1 9 2 7 3 8
A 7 11 6 6 3 11 2 3 1 9 4 11 4 4 4 9
A 3 8 5 6 2 7 6 3 1 7 0 8 2 7 1 8
A 1 0 2 1 0 8 4 2 0 7 2 8 1 7 1 8
A 2 3 3 2 1 10 2 2 1 9 2 9 1 6 1 8
A 6 10 9 8 9 8 8 8 4 6 6 8 3 8 8 4
A 3 9 6 7 5 8 5 0 4 6 3 7 2 7 4 5
A 3 6 5 4 1 9 4 3 1 7 1 8 3 6 2 8
A 4 6 5 4 5 7 6 7 4 7 6 9 2 9 8 4
A 4 9 6 7 4 10 3 2 2 8 2 10 5 5 3 8
A 4 9 3 4 2 11 5 4 1 8 4 9 4 6 4 9
A 6 7 8 6 6 7 7 3 6 7 8 9 5 10 3 6
A 2 6 4 4 2 8 3 2 2 7 1 8 2 7 3 7
A 3 5 6 4 2 10 2 2 2 8 2 9 4 6 2 9
A 4 9 7 7 4 9 3 2 3 6 1 7 2 6 2 7
A 2 8 4 6 2 7 6 3 1 6 0 8 2 7 1 7
A 4 5 6 4 5 7 8 3 5 7 8 9 7 10 3 7
A 2 7 4 4 1 7 6 3 1 6 0 8 2 6 1 8
A 4 11 6 8 3 5 4 3 3 5 1 7 3 6 3 7
A 2 2 4 3 2 8 3 2 3 8 1 8 2 6 2 7
A 4 11 6 8 4 7 5 3 0 6 1 8 2 7 1 8
A 5 11 8 8 4 10 2 2 3 9 1 8 3 7 4 8
A 4 10 6 8 5 12 3 2 2 9 2 8 2 6 2 8
A 5 11 7 8 7 8 7 7 4 7 6 9 3 8 8 3
A 2 4 4 6 2 7 3 3 3 7 1 8 3 6 3 8
A 3 4 5 3 2 10 2 2 2 9 2 9 2 6 2 8
A 2 7 4 5 2 10 3 2 2 9 2 9 2 6 2 8
A 3 11 6 8 3 11 2 3 3 10 1 9 3 7 3 8
A 3 7 5 5 3 12 2 2 2 10 2 9 2 6 3 8
A 2 6 4 4 2 12 3 4 2 11 1 8 2 6 2 9
A 3 8 6 6 3 11 2 2 3 9 2 9 3 5 3 8
A 3 3 5 5 2 9 4 3 1 8 1 8 2 7 2 8
A 3 8 5 6 2 8 5 3 1 7 0 8 2 7 2 8
A 5 11 7 8 3 9 3 3 3 7 2 9 3 7 3 9
A 1 1 2 1 0 7 4 3 0 7 1 8 2 7 1 8
A 3 2 5 3 2 8 2 2 2 7 1 8 2 6 2 7
A 2 8 4 6 3 13 3 4 2 11 1 8 2 6 3 9
A 4 11 7 8 3 7 4 3 2 7 1 8 3 6 3 8
A 3 9 5 7 4 12 3 2 2 10 2 9 2 6 3 7
A 3 8 5 6 5 8 7 7 4 7 6 9 5 7 7 4
A 4 8 6 7 6 9 8 3 4 6 7 7 5 8 5 5
A 4 10 5 7 4 7 5 3 0 7 1 8 2 7 3 8
A 5 9 7 7 4 8 5 3 0 6 1 8 2 7 1 8
A 3 9 5 6 3 10 3 2 2 8 2 10 3 5 3 7
A 4 9 3 4 2 13 3 4 1 10 3 10 3 5 3 10
A 3 1 5 3 2 8 2 2 2 7 1 8 2 7 2 7
A 1 0 2 0 0 7 3 2 0 7 2 8 2 6 1 8
A 2 3 4 2 2 9 1 2 1 8 2 10 2 6 2 7
A 3 9 4 7 3 6 4 2 1 6 1 8 2 6 2 7
A 3 6 5 8 2 7 6 3 1 7 0 8 3 7 1 8
A 3 8 5 6 3 8 3 2 2 6 1 8 2 6 2 7
A 6 8 8 7 7 8 7 4 6 7 9 6 5 11 4 5
A 4 9 6 6 2 7 6 3 1 7 0 8 3 7 2 8
A 1 1 2 1 0 7 4 2 0 7 2 8 2 7 1 8
A 3 7 5 5 3 11 3 2 2 9 1 9 3 5 2 8
A 2 6 4 4 2 10 3 1 2 8 3 9 2 6 2 8
A 2 5 4 4 2 7 2 2 2 6 2 8 2 7 2 7
A 2 7 4 5 3 11 2 2 2 9 2 9 2 6 2 7
A 6 12 6 6 5 9 4 5 3 10 5 12 7 3 6 11
A 2 6 3 4 2 12 4 3 2 10 1 9 2 6 1 8
A 2 5 4 4 2 5 3 2 2 5 2 8 2 6 2 6
A 4 10 6 7 2 5 4 3 2 5 1 7 3 7 3 7
A 4 7 5 5 5 7 7 7 4 6 6 9 2 8 7 4
A 4 9 6 6 2 8 4 3 2 7 1 8 3 6 3 8
A 3 5 5 4 2 10 2 2 2 9 2 9 2 6 2 8
A 3 5 6 4 3 11 1 2 2 9 2 9 3 7 3 9
A 2 2 4 4 2 8 2 2 2 8 2 8 2 6 3 7
A 5 11 4 6 3 10 2 3 1 9 4 11 3 4 4 8
A 4 9 6 6 2 6 4 3 1 6 1 8 3 7 2 7
A 9 15 7 8 4 8 1 2 2 9 4 12 4 5 5 6
A 3 4 6 6 2 7 5 3 1 7 0 8 2 7 2 8
A 6 8 8 6 7 6 7 7 5 7 5 9 4 8 11 3
A 5 9 5 5 3 10 2 4 2 11 5 12 5 3 5 10
A 4 11 7 8 2 7 5 3 1 6 1 8 3 7 2 7
A 2 5 4 4 3 9 8 3 4 6 7 8 4 8 4 6
A 3 8 5 5 2 9 6 3 1 7 0 8 2 7 1 8
A 3 8 4 6 3 8 3 2 2 7 1 8 2 6 2 7
A 6 10 6 5 4 12 3 6 2 12 2 10 5 3 3 10
A 3 4 5 3 2 10 1 3 2 10 2 10 2 6 3 8
A 3 7 5 5 2 9 3 3 3 7 2 8 3 6 3 8
A 5 10 5 5 3 11 4 4 2 11 3 10 6 4 4 10
A 2 3 4 2 2 7 2 1 2 7 2 8 2 7 2 7
A 2 1 3 1 1 7 4 2 0 7 2 8 3 6 1 8
A 2 4 4 3 2 7 2 2 2 5 2 8 2 5 2 7
A 4 10 7 7 6 10 5 2 5 10 2 5 3 6 6 8
A 5 10 7 8 5 7 3 2 3 4 2 7 2 6 2 6
A 5 10 7 8 8 8 7 8 4 6 6 8 3 8 8 3
A 3 9 5 7 4 6 4 3 1 6 1 8 2 6 2 7
A 6 9 9 8 8 8 8 3 5 7 7 8 5 8 4 5
A 3 3 5 4 1 7 5 3 0 7 1 8 2 7 2 8
A 5 10 5 6 3 10 2 4 2 11 6 13 5 4 5 10
A 1 1 2 1 0 7 4 2 0 7 2 8 2 7 1 8
A 3 8 4 6 3 11 3 2 2 9 1 8 2 6 3 8
A 4 10 7 7 3 12 3 4 3 11 1 9 2 7 3 9
A 2 4 3 3 1 10 2 2 1 8 2 9 1 6 1 8
A 3 10 5 7 2 6 6 3 1 6 0 8 2 7 1 7
A 3 5 5 3 2 11 2 3 2 10 2 9 2 6 2 8
A 2 3 4 2 1 11 2 3 1 9 2 9 1 6 2 8
A 1 3 2 2 1 12 2 3 1 11 2 9 2 6 2 8
A 3 4 5 3 2 10 2 3 1 9 2 9 2 6 2 8
A 3 8 5 6 3 11 3 3 2 10 2 9 2 7 3 9
A 3 6 5 4 1 9 4 3 1 8 1 8 3 6 2 8
A 1 0 2 1 0 7 4 2 0 7 2 8 2 7 1 8
A 3 7 5 4 2 7 4 3 1 7 1 8 2 7 2 8
A 2 6 3 4 2 11 3 2 2 9 2 9 2 6 2 8
A 5 12 6 6 3 13 1 4 1 12 3 11 2 3 3 11
A 3 10 5 8 4 12 3 1 2 9 2 9 3 6 2 8
A 5 11 9 8 7 8 4 1 4 6 2 6 5 8 6 6
A 4 9 6 7 4 12 2 3 3 10 2 9 2 6 4 8
A 3 10 5 7 2 7 5 3 1 6 0 8 3 7 2 7
A 4 10 7 8 5 7 3 1 2 5 2 8 4 5 4 6
A 2 7 4 5 3 11 3 2 2 9 2 9 1 6 2 8
A 3 6 5 5 4 9 7 4 5 6 8 5 4 10 4 5
A 4 8 6 7 6 7 8 2 4 7 8 8 5 8 5 6
A 2 1 4 2 1 8 2 2 2 8 1 8 2 6 2 7
A 3 5 5 4 2 11 2 2 2 9 2 9 2 6 2 8
A 2 7 3 5 2 12 3 2 2 10 2 9 2 6 2 8
A 3 9 5 6 3 12 2 4 2 11 2 9 3 7 3 9
A 4 9 6 8 6 10 7 4 6 6 9 5 5 11 4 4
A 4 11 7 8 4 12 2 3 3 10 2 9 3 7 4 9
A 2 6 4 4 2 8 3 2 2 7 1 8 2 6 2 6
A 2 1 3 1 1 7 4 2 0 7 2 8 3 6 1 8
A 1 0 2 0 0 7 4 2 0 7 2 8 2 6 1 8
A 5 9 8 6 6 9 5 2 5 8 1 6 3 7 4 7
A 5 11 8 8 4 10 2 2 3 9 1 8 2 7 3 7
A 2 4 4 5 2 8 6 3 1 7 0 8 2 7 2 8
A 4 9 6 7 6 7 8 8 4 6 6 9 3 7 8 5
A 2 7 4 5 3 12 4 3 2 9 2 9 2 6 2 8
A 3 2 5 4 2 8 2 2 2 7 2 8 2 7 2 7
A 4 8 7 6 5 6 5 2 3 4 2 6 2 6 3 4
A 1 0 2 0 0 7 4 2 0 7 2 8 2 7 1 8
A 5 11 8 8 5 10 1 2 3 8 2 8 4 8 4 9
A 2 6 4 4 2 11 3 2 2 9 2 9 2 6 2 8
A 6 11 11 8 8 7 5 2 5 5 1 6 6 8 6 6
A 3 8 5 6 3 12 3 3 2 11 2 9 2 6 2 9
A 4 10 7 8 4 14 3 4 3 12 0 8 2 6 2 9
A 4 7 6 5 6 8 5 7 4 8 6 8 5 9 7 4
A 4 10 7 8 5 12 3 2 2 9 2 8 2 6 2 8
A 1 0 2 0 0 8 3 2 0 7 2 8 2 6 1 8
A 4 9 6 7 4 13 2 4 2 11 1 8 3 7 3 9
A 3 10 5 7 4 11 3 2 2 9 2 10 3 7 3 8
A 4 9 7 7 5 8 5 2 4 6 1 5 3 5 4 5
A 4 9 6 7 6 8 6 6 4 7 6 9 5 8 7 3
A 4 7 5 5 5 7 6 8 4 7 5 8 4 8 10 2
A 1 0 2 0 0 7 4 2 0 7 2 8 2 7 1 8
A 7 14 7 8 6 10 3 5 2 10 5 12 7 1 6 11
A 10 14 8 8 4 11 1 3 0 10 4 11 3 4 4 10
A 7 11 7 6 5 10 3 5 2 10 5 11 7 2 6 10
A 3 8 5 6 4 11 2 2 2 9 2 9 3 6 3 8
A 4 8 5 6 4 8 3 1 2 6 2 8 2 6 2 6
A 5 10 7 8 4 8 2 2 3 6 2 7 5 7 5 8
A 3 7 6 5 3 12 3 3 3 11 1 8 2 6 2 9
A 3 8 5 5 2 6 4 3 1 6 1 8 2 7 2 7
A 4 8 6 6 4 8 3 2 2 6 2 7 2 6 2 7
A 3 6 5 4 3 8 6 2 4 8 2 5 2 6 2 7
A 4 11 6 8 5 7 4 2 1 7 1 8 2 7 2 7
A 3 11 5 8 4 12 3 3 3 10 2 9 2 7 3 9
A 2 2 4 4 2 8 2 1 2 7 2 8 2 7 3 7
A 3 7 4 5 2 7 4 2 0 6 2 8 2 7 1 7
A 6 10 7 6 3 12 0 4 1 11 4 12 4 4 3 11
A 2 3 3 1 1 6 2 2 1 5 2 8 1 6 1 7
A 3 9 5 6 2 6 5 3 1 6 1 8 2 7 2 7
A 4 9 6 6 2 9 5 3 1 8 1 8 2 7 2 8
X 3 9 5 7 4 8 7 3 8 5 6 8 2 8 6 7
X 8 12 8 6 4 3 10 4 7 12 11 9 3 7 3 4
X 5 11 8 8 4 8 8 1 8 10 5 7 3 8 4 8
X 4 6 7 4 3 9 7 2 8 11 3 7 3 8 4 9
X 4 10 5 7 5 8 7 3 8 5 6 6 3 8 6 8
X 4 9 5 6 5 7 6 3 5 6 6 9 2 8 8 8
X 3 7 5 5 2 10 5 2 8 10 1 7 3 7 3 10
X 4 8 5 6 3 5 8 1 8 10 9 9 2 9 3 6
X 6 10 9 8 6 7 7 0 8 9 6 8 3 8 4 7
X 3 4 6 3 2 7 7 1 9 10 6 8 2 8 3 7
X 5 10 8 8 4 8 7 4 10 6 6 8 4 6 8 9
X 3 6 4 4 1 7 7 4 4 7 6 8 3 8 4 8
X 4 9 6 7 6 9 7 3 6 7 4 5 6 6 9 8
X 5 11 8 8 4 5 8 2 8 10 11 9 3 9 4 6
X 4 4 5 5 1 7 7 4 4 7 6 8 3 8 4 8
X 8 11 11 9 7 6 8 1 8 10 8 9 3 8 4 6
X 4 9 6 7 5 8 5 3 5 6 7 8 3 9 9 9
X 1 0 2 0 0 7 7 4 4 7 6 8 2 8 3 8
X 3 2 4 3 2 7 7 3 9 6 6 8 2 8 6 8
X 4 9 6 7 5 8 7 3 5 6 7 6 4 11 10 8
X 3 8 4 5 1 7 7 4 4 7 6 8 3 8 4 8
X 3 4 5 3 2 7 7 1 8 10 6 8 2 8 3 7
X 3 2 4 4 2 7 7 3 9 6 6 8 2 8 6 8
X 5 8 6 7 7 6 8 2 5 7 6 9 4 7 8 7
X 3 5 6 4 3 9 7 1 9 10 4 7 2 8 3 8
X 7 10 7 6 4 9 6 2 7 11 4 7 4 9 4 9
X 3 7 5 5 2 9 7 1 8 10 4 7 3 8 3 8
X 4 6 6 4 2 7 7 2 8 11 6 8 3 8 3 7
X 9 13 9 7 5 4 9 3 8 12 10 9 4 9 4 5
X 3 6 5 4 3 8 7 4 9 6 6 8 3 8 6 8
X 5 11 6 8 2 7 7 5 4 7 6 8 3 8 4 8
X 5 11 6 8 2 7 7 5 4 7 6 8 3 8 4 8
X 8 15 8 9 4 8 8 2 8 9 7 8 4 12 4 7
X 3 5 4 4 4 5 8 2 4 8 7 9 2 7 7 8
X 5 8 6 7 6 7 7 2 5 7 6 8 3 10 8 7
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X 6 12 7 7 4 8 7 2 7 11 4 6 4 8 4 7
X 7 10 7 5 3 5 8 3 8 10 11 11 4 11 4 5
X 6 8 8 6 6 7 7 2 5 6 6 7 3 9 10 9
X 7 10 10 8 5 10 7 2 8 11 2 7 3 8 4 9
X 5 8 8 6 4 6 8 1 8 10 8 8 3 8 4 7
X 2 4 4 3 2 10 7 1 8 10 3 7 2 7 3 8
X 4 5 5 7 2 7 7 4 4 7 6 8 3 8 4 8
X 2 1 4 3 2 7 8 3 9 6 6 7 2 8 6 7
X 5 7 6 5 5 7 8 3 6 6 6 8 4 8 10 8
X 7 11 8 6 4 8 8 2 8 11 6 7 4 12 4 8
X 2 3 3 1 1 9 6 2 7 10 4 8 2 8 3 9
X 3 3 5 2 2 9 7 2 8 11 4 7 2 7 3 8
X 1 0 1 0 0 7 7 3 4 7 6 8 2 8 4 8
X 4 8 5 6 4 8 7 3 8 5 6 7 3 9 7 7
X 5 8 7 6 3 9 6 2 8 11 2 7 3 9 4 9
X 4 6 6 6 5 6 7 2 5 7 7 9 3 9 8 8
X 3 9 4 6 1 7 7 4 4 7 6 8 3 8 4 8
X 2 4 4 2 2 7 7 1 8 10 6 8 2 8 3 7
X 5 11 6 6 4 6 9 2 6 10 10 8 4 14 4 6
X 5 7 8 5 4 11 5 2 8 10 1 7 2 7 3 10
X 3 6 5 4 3 7 7 4 9 6 6 6 3 8 6 7
X 6 9 8 7 7 7 6 3 5 6 6 10 4 6 11 9
X 5 11 8 8 6 8 7 3 9 5 6 8 3 8 7 8
X 2 4 4 3 2 7 8 1 8 10 6 8 2 8 3 7
X 2 1 3 3 2 8 7 3 9 6 6 6 2 8 5 8
X 5 9 5 5 2 11 6 3 7 9 3 7 3 9 4 10
X 5 7 7 5 6 8 6 2 5 6 7 7 3 10 10 8
X 5 10 7 7 6 8 7 3 5 6 7 6 4 10 11 8
X 5 11 8 8 5 11 7 1 8 10 2 6 4 9 4 11
X 4 6 5 8 2 7 7 5 4 7 6 8 3 8 4 8
X 2 7 3 4 1 7 7 4 4 7 6 8 3 8 4 8
X 3 1 4 3 2 7 8 3 9 6 6 7 3 9 6 6
X 3 4 5 3 2 8 7 4 9 6 6 9 4 7 7 9
X 3 9 5 7 4 7 7 3 8 5 7 9 3 8 6 8
X 5 11 6 8 4 8 7 4 4 7 6 8 3 8 4 8
X 5 7 8 5 4 7 7 1 8 10 7 9 3 8 3 8
X 5 5 6 8 2 7 7 5 4 7 6 8 3 8 4 8
X 4 8 5 5 1 7 7 4 4 7 6 8 3 8 4 8
X 3 5 6 3 3 8 6 1 8 10 5 8 2 8 3 8
X 4 5 7 3 3 6 8 1 9 11 8 9 3 8 3 7
X 3 4 6 3 2 7 7 1 9 11 6 8 2 8 3 8
X 2 2 3 3 2 8 7 3 8 6 6 8 2 8 6 8
X 4 5 8 4 3 8 7 1 9 11 4 7 3 8 3 8
X 2 5 4 4 2 7 7 3 9 6 6 8 2 8 6 8
X 3 9 6 7 5 7 6 2 6 7 5 8 3 6 7 7
X 3 5 5 3 2 8 7 1 8 10 5 7 3 8 3 7
X 3 5 5 3 2 7 7 1 8 10 6 8 2 8 3 8
X 3 4 6 3 3 7 7 1 9 10 7 8 3 8 3 7
X 2 1 2 1 0 8 7 4 4 7 6 8 3 8 4 8
X 2 4 4 3 2 7 7 3 9 6 6 8 2 8 5 8
X 4 6 6 4 5 8 6 3 5 6 7 8 3 9 8 9
X 3 3 4 4 1 7 7 6 2 7 6 8 3 8 4 8
X 4 10 5 7 2 7 7 4 4 7 6 8 3 8 4 8
X 4 5 8 4 3 7 7 1 9 10 6 8 2 8 3 7
X 7 10 10 8 5 5 8 2 9 11 10 9 3 8 4 6
X 4 11 6 8 6 8 8 2 6 7 7 8 5 11 8 8
X 3 1 4 2 2 7 7 4 9 6 6 8 3 8 6 8
X 3 7 4 5 2 8 7 4 4 7 6 8 2 8 4 8
X 3 7 4 4 1 7 7 4 4 7 6 8 3 8 4 8
X 5 7 7 6 7 9 7 2 4 7 6 6 3 10 7 8
X 3 5 5 4 2 7 8 1 8 10 8 8 2 8 3 7
X 4 7 6 5 3 7 8 1 8 10 7 8 2 8 3 7
X 3 7 4 4 1 7 7 4 4 7 6 8 3 8 4 8
X 4 7 5 6 5 7 8 2 5 7 6 7 3 5 7 8
X 9 15 8 8 4 9 7 2 9 9 5 7 4 11 4 9
X 6 9 7 8 8 8 6 1 6 7 6 8 4 13 9 8
X 3 6 6 4 4 9 8 3 6 7 7 7 5 11 6 7
X 4 9 5 6 1 7 7 5 4 7 6 8 3 8 4 8
X 2 3 3 2 1 7 7 3 9 6 6 8 2 8 5 7
X 3 6 5 4 4 7 8 3 5 6 6 9 3 8 8 8
X 4 10 5 7 1 7 7 5 4 7 6 8 3 8 4 8
X 3 4 4 3 2 7 7 3 9 6 6 9 2 8 5 8
X 4 8 5 6 3 7 7 4 9 6 6 8 3 8 6 8
X 5 9 8 7 4 8 8 1 9 10 5 7 3 8 4 8
X 4 4 5 6 1 7 7 4 4 7 6 8 3 8 4 8
X 4 10 6 8 6 6 7 3 6 7 7 11 5 6 7 7
X 4 8 6 6 3 7 8 0 7 9 7 8 2 8 3 7
X 5 8 6 7 7 6 8 2 5 8 7 10 2 8 7 8
X 4 5 5 7 1 7 7 5 4 7 6 8 3 8 4 8
X 2 4 4 3 2 10 6 2 8 10 3 7 2 8 3 9
X 3 3 5 2 2 5 9 2 7 10 9 8 2 8 3 6
X 2 3 3 2 2 7 7 3 9 6 6 8 2 8 6 8
X 5 10 8 8 7 8 6 3 6 7 4 6 6 7 9 6
X 2 1 2 1 0 7 7 4 4 7 6 8 2 8 4 8
X 4 8 6 6 4 9 6 1 8 10 3 7 3 9 4 9
X 7 11 6 6 3 5 8 3 9 10 9 10 4 7 4 5
X 3 6 4 4 2 7 7 4 4 7 6 8 3 8 4 8
X 7 11 7 6 3 4 8 3 9 9 11 10 4 11 4 5
X 3 9 4 7 3 7 7 4 4 7 6 8 2 8 4 8
X 4 7 6 5 5 7 8 2 6 7 6 8 4 8 5 8
X 5 5 6 7 2 7 7 5 4 7 6 8 3 8 4 8
X 1 0 2 0 0 7 7 4 4 7 6 8 2 8 4 8
X 3 6 4 4 2 7 7 4 4 7 6 8 3 8 4 8
X 3 6 5 4 3 8 7 4 9 6 6 8 3 8 6 8
X 2 6 4 4 2 7 7 4 8 6 6 10 3 8 6 8
X 4 9 6 7 4 9 7 0 8 9 4 8 2 8 3 8
X 5 9 6 5 3 9 7 2 7 11 5 7 4 11 3 8
X 3 8 4 5 1 7 7 4 4 7 6 8 3 8 4 8
X 4 9 5 4 2 6 8 1 7 11 6 8 3 7 4 6
X 5 9 8 7 5 3 8 1 8 10 11 10 2 9 3 5
X 4 6 5 8 2 7 7 4 4 7 6 8 3 8 4 8
X 5 9 6 8 7 7 8 1 5 7 6 8 3 6 8 8
X 3 1 4 3 2 7 7 3 9 6 6 8 2 8 6 8
X 3 6 4 5 4 7 8 2 5 8 6 8 2 7 6 7
X 5 8 7 6 5 8 5 3 5 7 7 9 4 8 10 9
X 5 11 8 8 7 7 7 3 8 5 7 10 3 8 6 8
X 4 9 6 7 4 8 7 4 9 6 7 9 4 7 8 9
X 5 10 6 8 4 7 7 4 4 7 6 8 3 8 4 8
X 4 9 6 6 4 7 6 3 8 5 6 9 3 8 7 8
X 3 8 4 6 3 7 7 4 4 7 6 8 3 8 4 8
X 4 8 6 6 5 7 6 2 6 7 7 9 5 9 7 7
X 2 6 4 4 2 7 8 3 8 6 6 6 3 8 7 7
X 3 7 4 5 2 7 7 4 4 7 6 8 3 8 4 8
X 4 6 7 4 3 5 8 2 8 11 10 9 3 8 3 6
X 9 15 10 9 6 8 7 2 8 11 5 7 5 9 4 7
X 2 3 3 1 1 8 7 3 8 6 6 8 2 8 5 8
X 3 4 4 3 2 8 7 3 9 6 6 8 2 8 6 8
X 4 10 5 7 2 7 7 5 4 7 6 8 3 8 4 8
X 1 1 2 1 0 8 7 3 4 7 6 8 2 8 4 8
X 4 8 5 6 3 7 7 4 4 7 6 7 3 8 4 8
X 7 9 6 4 3 8 7 2 8 9 7 8 4 12 3 7
X 3 4 4 5 1 7 7 4 4 7 6 8 3 8 4 8
X 1 3 2 1 1 8 7 4 8 7 6 8 2 8 5 8
X 4 8 6 6 6 7 7 3 5 6 5 10 2 7 8 8
X 6 11 8 8 8 7 6 3 5 6 6 9 4 7 11 10
X 4 7 6 5 3 11 6 2 8 10 0 6 3 7 3 10
X 6 9 9 7 5 7 7 0 8 10 6 8 3 8 3 7
X 4 6 7 4 3 9 7 1 8 10 4 7 3 8 3 8
X 2 1 2 1 0 8 7 4 4 7 6 8 3 8 4 8
X 4 11 5 8 4 7 7 4 4 7 6 7 2 8 4 8
X 3 7 4 4 1 7 7 4 4 7 6 8 3 8 4 8
X 5 8 7 6 3 9 7 2 8 10 4 7 3 8 4 8
X 9 14 10 8 5 3 9 4 8 12 11 9 4 8 3 5
X 4 11 7 8 6 8 8 2 6 7 6 6 6 10 9 8
X 3 5 5 4 2 9 6 1 8 10 4 8 2 8 3 9
X 3 6 5 4 3 8 7 3 8 6 6 8 2 8 6 8
X 3 3 5 2 2 7 8 1 8 10 7 8 2 8 3 7
X 4 10 5 8 3 7 7 4 4 7 6 8 3 8 4 8
X 2 3 3 2 1 8 7 3 8 6 6 8 2 8 5 8
X 4 9 6 7 4 7 7 4 9 6 6 8 3 8 7 8
X 3 7 5 5 3 4 8 1 7 10 11 9 2 9 3 5
X 4 5 5 5 5 9 7 2 4 8 5 7 3 8 7 8
X 3 8 5 6 4 7 7 3 8 6 7 10 3 7 7 8
X 4 8 7 6 4 6 7 1 8 10 8 9 3 8 3 7
X 4 8 6 6 3 7 7 1 8 10 6 8 3 8 4 7
X 4 5 6 3 3 7 7 1 9 10 6 8 2 8 3 7
X 5 9 7 8 8 7 8 2 5 8 6 8 4 6 8 9
X 9 14 10 8 5 5 9 3 8 11 9 8 4 9 4 6
X 3 8 4 6 3 7 7 3 8 6 6 10 3 8 6 8
X 6 10 8 8 7 7 6 3 5 6 6 8 3 9 10 9
X 3 4 4 5 1 7 7 4 4 7 6 8 3 8 4 8
X 4 9 7 7 5 7 7 3 9 5 6 10 3 8 6 8
X 7 13 8 7 5 9 6 3 8 11 3 7 4 8 4 8
X 5 7 7 6 7 8 7 2 5 7 6 8 3 9 8 8
X 3 4 4 3 2 7 7 3 9 6 6 9 2 8 6 8
X 2 3 4 1 1 6 8 2 8 11 8 8 2 8 3 7
X 6 9 9 7 5 5 8 1 8 10 10 9 4 7 4 6
X 4 4 4 6 1 7 7 4 4 7 6 8 3 8 4 8
X 4 7 6 5 3 7 8 1 8 10 7 8 2 8 3 8
X 9 12 8 6 4 7 7 2 9 9 7 9 4 9 4 7
X 5 9 8 6 4 4 9 3 8 11 12 9 3 9 4 5
X 5 11 7 9 6 8 7 3 5 6 7 7 4 10 11 9
X 3 8 5 6 3 7 8 4 9 6 6 7 3 9 7 7
X 3 3 5 2 2 10 6 2 8 11 3 7 2 8 3 9
X 2 3 3 1 1 6 8 2 8 10 8 9 2 8 2 7
X 5 10 7 8 4 9 6 1 8 10 3 7 3 8 4 8
X 1 1 2 2 1 8 7 3 8 6 6 8 2 8 6 8
X 2 6 4 4 3 8 8 2 5 7 5 7 3 8 5 7
X 4 6 6 4 3 7 7 1 8 10 7 9 2 8 3 7
X 1 3 2 1 1 7 7 3 7 6 6 9 2 8 5 8
X 4 7 5 5 1 7 7 6 2 7 6 8 3 8 4 8
X 7 10 10 8 6 4 8 2 8 10 11 10 3 9 3 5
X 5 10 6 8 4 7 7 4 4 7 6 8 3 8 4 8
X 6 11 9 9 6 7 7 0 8 9 6 8 3 8 3 7
X 4 11 6 8 4 7 8 3 9 6 5 6 4 10 8 6
X 5 10 7 8 6 8 5 3 5 6 7 7 3 10 9 9
X 5 5 6 7 2 7 7 5 4 7 6 8 3 8 4 8
X 3 5 4 3 2 8 7 3 9 6 7 9 3 7 7 9
X 5 10 6 7 2 7 7 5 4 7 6 8 3 8 4 8
X 7 15 8 8 5 11 7 2 7 11 3 5 3 11 4 9
X 2 3 3 2 1 7 8 1 7 10 7 8 2 8 2 7
X 3 5 4 4 4 8 8 2 5 8 6 7 2 7 6 7
X 4 10 5 7 2 7 7 5 4 7 6 8 3 8 4 8
X 4 10 7 7 4 9 7 0 8 9 4 7 3 8 3 8
X 7 15 7 8 4 10 7 2 8 9 4 7 4 10 4 10
X 4 8 5 6 1 7 7 5 4 7 6 8 3 8 4 8
X 1 0 2 0 0 7 7 4 4 7 6 8 2 8 4 8
X 8 12 8 6 4 10 6 3 9 9 2 5 4 6 4 10
X 4 10 6 8 6 6 7 2 6 7 7 9 3 7 6 8
X 5 9 8 7 4 8 7 1 8 10 4 7 3 8 4 8
X 4 8 6 6 3 6 8 1 8 10 8 9 3 8 3 7
X 3 8 5 6 3 8 7 4 9 6 6 6 3 8 7 7
X 7 9 8 5 4 8 7 3 8 12 4 7 4 9 4 8
X 3 8 4 6 1 7 7 4 4 7 6 8 3 8 4 8
X 4 6 5 4 4 7 6 3 5 6 6 9 2 8 8 8
X 4 10 5 7 1 7 7 5 4 7 6 8 3 8 4 8
X 2 3 3 2 2 7 7 3 8 6 6 8 2 8 5 8
X 5 10 8 8 5 7 7 4 10 6 6 8 3 8 7 8
X 2 2 4 4 2 7 7 3 9 6 6 8 2 8 6 7
X 3 4 5 3 2 10 7 2 8 10 3 7 2 7 3 9
X 7 11 8 6 4 7 8 2 8 11 7 8 5 11 4 7
X 4 6 5 5 5 6 8 2 4 8 7 9 2 8 7 8
X 4 5 7 4 3 9 6 1 9 10 4 7 2 8 3 8
X 5 10 6 8 4 7 7 4 4 7 6 7 3 8 4 8
X 4 8 6 6 3 9 7 1 8 10 2 7 3 8 4 9
X 3 5 6 4 3 8 7 1 9 10 4 8 2 8 3 8
X 5 11 7 8 4 5 8 2 8 10 11 10 3 8 4 5
X 5 9 6 6 5 7 6 3 5 6 6 9 3 7 10 9
X 3 1 4 2 2 8 7 3 9 6 6 8 3 8 6 8
X 4 9 6 6 5 7 7 3 9 5 6 8 3 8 6 8
X 3 4 5 3 2 7 8 1 8 10 7 8 2 8 3 7
X 3 9 4 7 3 8 7 4 4 7 6 9 2 8 4 8
X 1 1 2 1 0 7 7 4 4 7 6 8 2 8 4 7
X 3 4 5 3 2 7 7 1 8 10 6 8 2 8 3 8
X 4 5 6 4 3 7 7 1 9 10 6 8 2 8 3 7
X 3 2 4 3 2 7 7 3 9 6 6 8 3 8 6 7
X 2 3 3 4 1 7 7 4 4 7 6 8 2 8 4 8
X 4 8 7 6 3 8 6 1 8 10 4 8 3 8 3 8
X 4 9 5 6 1 7 7 5 4 7 6 8 3 8 4 8
X 1 0 1 0 0 7 7 3 5 7 6 8 2 8 4 8
X 6 11 8 8 7 8 6 3 6 6 7 7 4 8 10 10
X 4 3 4 5 1 7 7 4 4 7 6 8 3 8 4 8
X 5 7 7 5 3 7 7 1 8 10 5 8 3 8 3 7
X 3 7 4 4 1 7 7 5 4 7 6 8 3 8 4 8
X 6 11 9 8 5 8 6 1 9 10 4 8 3 8 4 8
X 6 12 6 6 3 10 6 3 8 9 2 6 4 6 4 10
X 3 4 5 3 2 7 8 4 9 6 6 7 4 9 7 7
X 8 11 8 6 4 4 10 4 8 11 10 9 4 9 3 5
X 5 11 8 8 6 7 8 3 9 5 5 7 4 9 8 7
X 4 9 6 7 4 7 7 4 9 6 7 11 4 6 8 9
X 8 12 9 7 5 6 8 2 8 11 7 8 5 8 4 6
X 3 6 5 5 4 5 8 2 5 8 6 9 3 6 7 8
X 5 11 9 8 8 9 6 3 6 7 5 5 6 10 8 9
X 6 9 9 7 5 7 7 0 8 10 7 9 2 8 3 7
X 5 10 8 7 6 7 8 2 6 7 6 7 6 9 8 7
X 7 11 11 8 5 7 7 1 9 10 6 8 3 8 4 7
X 3 9 5 7 4 8 7 3 8 6 7 8 3 8 7 9
X 3 4 4 5 1 7 7 4 4 7 6 8 3 8 4 8
X 7 13 7 7 4 7 7 2 9 9 5 8 4 7 4 8
X 4 8 4 6 3 7 7 4 4 7 6 8 3 8 4 8
X 1 0 1 0 0 8 7 3 5 7 6 8 2 8 3 7
X 5 10 7 8 4 10 7 1 8 10 2 6 3 9 4 10
X 5 10 8 8 6 10 7 3 7 7 6 6 6 12 8 9
X 1 1 2 1 0 8 7 3 4 7 6 8 2 8 4 8
X 8 13 7 7 4 8 8 2 9 9 6 7 4 10 4 8
X 5 10 7 7 6 7 6 3 5 6 6 8 3 9 9 9
X 6 11 6 6 3 11 7 3 8 10 3 6 4 11 4 10
X 4 11 6 8 4 8 7 4 9 6 6 6 3 8 7 7
X 6 10 9 8 5 3 9 2 8 11 12 10 3 9 3 5
X 4 9 5 6 1 7 7 4 4 7 6 8 3 8 4 8
X 4 7 5 6 6 9 8 2 5 8 5 6 2 6 7 8
X 3 4 5 3 2 5 8 2 8 10 10 9 3 8 3 5
X 3 7 5 5 4 7 7 3 8 5 6 9 3 7 7 9
X 3 7 4 4 1 7 7 4 4 7 6 8 3 8 4 8
X 5 10 6 7 1 7 7 5 4 7 6 8 3 8 4 8
X 4 6 5 5 5 7 8 2 4 7 6 8 2 7 7 7
X 2 3 3 2 1 7 7 3 8 6 6 8 2 8 5 8
X 6 10 6 6 3 7 7 2 7 11 6 8 4 9 4 7
X 2 7 4 5 4 7 6 2 6 7 5 8 3 7 5 9
X 4 9 6 6 4 7 7 3 8 5 6 7 3 9 7 6
X 3 8 4 5 1 7 7 4 4 7 6 8 3 8 4 8
X 4 5 7 4 3 5 8 2 9 11 10 9 3 7 4 5
X 3 9 4 7 3 7 7 4 4 7 6 8 3 8 4 8
X 4 10 7 8 4 10 6 2 8 10 1 7 3 8 4 9
X 3 4 5 3 2 7 7 4 9 6 6 8 2 8 6 8
X 3 6 4 4 1 7 7 4 4 7 6 8 3 8 4 8
X 5 8 7 6 5 8 6 3 5 6 7 8 2 9 8 9
X 3 5 4 4 3 8 7 3 9 6 6 8 2 8 6 8
X 5 11 6 6 3 4 9 3 7 11 10 9 4 10 3 5
X 2 2 4 3 2 8 7 3 9 6 6 8 2 8 6 8
X 3 9 4 6 1 7 7 4 4 7 6 8 3 8 4 8
X 4 8 4 6 3 7 7 4 4 7 6 8 3 8 4 8
X 10 13 9 7 4 6 7 2 9 9 7 9 4 6 4 6
X 4 6 6 4 4 7 7 2 6 7 5 8 3 6 6 8
X 6 9 10 7 4 8 8 1 9 10 5 7 3 8 4 8
X 6 8 8 7 8 8 8 2 5 8 6 8 4 8 8 8
X 5 5 6 8 2 7 7 5 4 7 6 8 3 8 4 8
X 6 11 9 8 5 7 7 1 9 10 6 8 3 8 4 7
X 5 10 7 8 6 8 7 3 5 6 7 6 4 10 10 9
X 3 10 5 7 4 7 7 3 8 6 6 8 3 8 7 7
X 5 6 7 4 3 7 8 1 8 10 6 8 3 8 3 7
X 4 10 7 8 6 6 8 2 6 7 6 10 4 6 7 7
X 5 9 8 7 6 6 8 3 6 7 7 11 5 6 8 6
X 4 9 7 7 5 8 7 3 8 5 6 8 2 8 6 8
X 5 10 8 7 5 4 7 1 8 10 10 10 4 7 4 5
X 4 6 6 4 3 7 7 1 8 10 8 8 3 8 3 7
X 4 9 5 7 3 7 7 4 4 7 6 7 3 8 4 8
X 4 7 5 5 4 8 7 3 8 6 5 6 3 9 6 8
X 7 10 9 8 8 7 6 3 5 6 6 10 5 5 12 10
X 9 12 8 6 4 7 7 2 9 9 5 8 4 5 4 8
X 4 6 6 4 4 9 8 3 5 7 7 7 4 11 6 7
X 3 3 5 2 2 5 8 2 8 11 9 9 2 9 3 6
X 3 4 4 6 1 7 7 4 4 7 6 8 3 8 4 8
X 4 9 6 7 5 8 6 3 5 6 7 7 2 8 9 9
X 2 3 3 2 1 5 8 2 7 10 10 9 2 9 2 6
X 6 9 9 7 4 10 5 2 8 11 1 7 3 8 4 9
X 2 8 4 6 3 7 7 4 8 6 6 8 3 8 6 8
X 3 8 5 6 3 5 8 2 8 10 10 9 3 9 3 6
X 6 10 10 8 5 9 6 1 8 10 3 7 3 8 4 9
X 4 9 5 6 1 7 7 5 4 7 6 8 3 8 4 8
X 4 9 6 7 4 8 7 4 9 6 7 8 4 6 8 9
X 4 6 7 4 3 7 7 2 8 10 7 9 3 8 3 7
X 7 9 7 5 3 8 7 2 8 9 6 8 4 10 4 8
X 3 7 4 5 2 7 7 4 4 7 6 8 2 8 4 8
X 3 6 5 4 3 8 7 3 8 5 6 8 2 8 6 8
X 3 7 4 4 1 7 7 4 4 7 6 8 3 8 4 8
X 3 5 4 3 2 7 7 3 9 6 6 8 3 8 6 7
X 3 1 5 3 2 8 7 4 9 6 6 8 2 8 6 8
X 4 4 4 6 1 7 7 4 4 7 6 8 3 8 4 8
X 3 4 4 5 1 7 7 4 4 7 6 8 3 8 4 8
X 1 0 1 0 0 7 7 3 5 7 6 8 2 8 4 7
X 4 11 5 8 4 7 7 4 4 7 6 8 2 8 4 8
X 3 7 5 6 5 9 7 2 4 8 6 6 3 9 7 7
X 5 11 8 8 4 10 7 2 9 11 1 6 3 8 4 9
X 3 10 4 7 1 7 7 4 4 7 6 8 3 8 4 8
X 2 3 4 2 1 9 6 2 8 10 3 7 2 8 2 8
X 6 10 9 7 4 8 6 1 9 10 4 8 3 8 4 8
X 4 10 6 8 4 7 7 4 9 6 6 8 3 8 7 7
X 9 14 8 8 4 9 6 3 8 9 4 7 5 8 5 9
X 3 7 5 5 3 8 8 3 8 6 6 7 3 8 6 8
X 3 5 5 3 2 5 9 2 8 11 10 9 2 9 3 6
X 7 11 11 8 7 4 8 2 9 10 11 9 5 8 5 4
X 3 9 4 6 1 7 7 4 4 7 6 8 3 8 4 8
Letter Image Recognition Data
The objective is to identify each of a large number of black-and-white
rectangular pixel displays as one of the 2 capital letters A and X. The
character images were based on 20 different fonts and each letter within
these 20 fonts was randomly distorted to produce a file of 20,000 unique
stimuli. Each stimulus was converted into 16 primitive numerical attributes
(statistical moments and edge counts) which were then scaled to fit into
a range of integer values from 0 through 15.
The total number of Instances of this data set is 1576. Each instance
starts with its letter category (i.e., class label) followed by 16 numeric
attributes. The attributes include
1. lettr capital letter (26 values from A to Z)
2. x-box horizontal position of box (integer)
3. y-box vertical position of box (integer)
4. width width of box (integer)
5. high height of box (integer)
6. onpix total # on pixels (integer)
7. x-bar mean x of on pixels in box (integer)
8. y-bar mean y of on pixels in box (integer)
9. x2bar mean x variance (integer)
10. y2bar mean y variance (integer)
11. xybar mean x y correlation (integer)
12. x2ybr mean of x * x * y (integer)
13. xy2br mean of x * y * y (integer)
14. x-ege mean edge count left to right (integer)
15. xegvy correlation of x-ege with y (integer)
16. y-ege mean edge count bottom to top (integer)
17. yegvx correlation of y-ege with x (integer)
The number of instances for each class is as follows:
789 A
787 X

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